diff --git a/.gitattributes b/.gitattributes index 077d635c11d2f423211acfde8d014af214334a41..c4666fb055c9d634e94b962dfa130a695d987eed 100644 --- a/.gitattributes +++ b/.gitattributes @@ -208,3 +208,6 @@ meta2/.DS_Store filter=lfs diff=lfs merge=lfs -text meta2/add_edges_to_make_degrees_of_all_nodes_even/meta.json filter=lfs diff=lfs merge=lfs -text meta2/all_divisions_with_the_highest_score_of_a_binary_array/meta.json filter=lfs diff=lfs merge=lfs -text mice_and_cheese/meta.json filter=lfs diff=lfs merge=lfs -text +minimize_maximum_of_array/meta.json filter=lfs diff=lfs merge=lfs -text +minimize_or_of_remaining_elements_using_operations/meta.json filter=lfs diff=lfs merge=lfs -text +minimize_the_maximum_difference_of_pairs/meta.json filter=lfs diff=lfs merge=lfs -text diff --git a/min_max_game/scala_tests/MySuite.scala b/min_max_game/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..bfa9a706d897da37943493c0c468d33dc604916f --- /dev/null +++ b/min_max_game/scala_tests/MySuite.scala @@ -0,0 +1,32 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minMaxGame(List(1,3,5,2,4,8,2,2)), 1) + } + + test("test2") { + assertEquals(Main.minMaxGame(List(3)), 3) + } + + test("test3") { + assertEquals(Main.minMaxGame(115040532,691122985,74905644,691122985,74905644,488737920,409049507,691122985,74905644,424016316,139550887,488737920,409049507,778486804,581936863,691122985,74905644,898320970,424016316,316332152,322747948,139550887,10127500,488737920,409049507,714000633,529661213,778486804,581936863,766268468,256616097,691122985,893168349,74905644,898320970,562091841,623374598,424016316,316332152,175024652,322747948,421471664,139550887,27323869,10127500,285386703,54510532,488737920,920450369,409049507,714000633,376483632,529661213,689244382,749711836,778486804,581936863,952610726,46933645,766268468,256616097,930245976,109029077,691122985), 115040532) + } + + test("test4") { + assertEquals(Main.minMaxGame(422752264,444626536,383451709,444626536,964694290,383451709,444626536,354937044), 422752264) + } + + test("test5") { + assertEquals(Main.minMaxGame(347432181,347432181,347432181,253225415), 347432181) + } + + test("test6") { + assertEquals(Main.minMaxGame(277872296,945927896,351536846,945927896,351536846,505308252,355276338,945927896,351536846,740924939,38550376,505308252,355276338,720623023,50265300,945927896,351536846,818710986,268024035,740924939,38550376,917469833,218828997,505308252,355276338,675186659,272427923,720623023,50265300,349134637,197930247,945927896,351536846,933128750,89429569,818710986,268024035,630711263,740924939,442693871,38550376,987228952,110075355,917469833,218828997,825822362,168084080,505308252,355276338,930388442,188207825,675186659,272427923,816044008,613681487,720623023,50265300,918806830,349134637,278273618,197930247,846327293,114080947,945927896,351536846,962339954,153247899,933128750,89429569,949890359,736501846,818710986,268024035,936649815,630711263,623451241,740924939,784006358,364968461,442693871,38550376,827637389,775002894,987228952,110075355,898363618,496412781,917469833,218828997,775423695,299108265,825822362,168084080,655056704,55736741,505308252,355276338,822549513,165382074,930388442,188207825,623202735,97039735,675186659,272427923,899139750,58820112,816044008,613681487,692107265,446140510,720623023,50265300,786653476,631607382,918806830,738179041,349134637,3081800,278273618,197930247,814391196,846327293,839751160,114080947,766307757,394016082,945927896,842046573,351536846,581539229,962339954,153247899,893052643,933128750,886264387,237453609,89429569,168548190,949890359,736501846,874536926,390388306,818710986,268024035,930890158,936649815,787292160,630711263,790680442,623451241,528577751,757668896,740924939,540340338,784006358,364968461,634924643,442693871,402084206,38550376,50388559,486527953,827637389,889740846,775002894,987228952,711758512,110075355,554558129,898363618,430338156,855273022,496412781,917469833,513275787,287567580,218828997,775423695,544183099,960564854,299108265,403334797,825822362,168084080,420433761,257316455,655056704,614047974,55736741,55437983,505308252,355276338,829117431,425539800,822549513,473149306,165382074,930388442,219356010,188207825,221601673,339915824,623202735,97039735,643265311,675186659,302235312,801212847,272427923,899139750,473530827,701114055,58820112,103017505,816044008,613681487,819740209,623887143,692107265,446140510,818007276,45103587,720623023,50265300,236708934,646052908,786653476,631607382,943759801,918806830,256451102,738179041,798967010,56615261,349134637,3081800,585996046,278273618,187195679,365793711,197930247,814391196,1711047,846327293,989073716,454322636,839751160,803562099,114080947,656466739,766307757,829671791,394016082,945927896,556552137), 277872296) + } + + test("test7") { + assertEquals(Main.minMaxGame(439363306,983086361,18639521,983086361,18639521,926360015,429073836,983086361,18639521,618347797,331389171,926360015,429073836,823614485,206463919,983086361,18639521,551614501,528697263,618347797,729566617,331389171,806609119,926360015,429073836,906955449,28743328,823614485,575701114,206463919,430845510,983086361,18639521,476762353,551614501,483033277,528697263,757187572,618347797,289394534,930884662,729566617,331389171,248606565,828364048,806609119,104101301,926360015,586131558,429073836,124381100,906955449,871344524,28743328,372630435,823614485,575701114,898787203,206463919,11428664,430845510,479380797,101634865,983086361), 439363306) + } + +} diff --git a/minimize_length_of_array_using_operations/haskell_tests/Main.hs b/minimize_length_of_array_using_operations/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..9be0628ca99d98c3eb6d739de303c5f988ec344b --- /dev/null +++ b/minimize_length_of_array_using_operations/haskell_tests/Main.hs @@ -0,0 +1,44 @@ + +module Main where +import Test.HUnit + +--Program start +minimumArrayLength :: [Int] -> Int +minimumArrayLength nums = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minimumArrayLength [1,4,3,1])," 1 (minimumArrayLength [1,4,3,1])) + +test2 :: Test +test2 = TestCase (assertEqual "for (minimumArrayLength [5,5,5,10,5])," 2 (minimumArrayLength [5,5,5,10,5])) + +test3 :: Test +test3 = TestCase (assertEqual "for (minimumArrayLength [2,3,4])," 1 (minimumArrayLength [2,3,4])) + +test4 :: Test +test4 = TestCase (assertEqual "for (minimumArrayLength [7, 5, 3, 2, 4])," 1 (minimumArrayLength [7, 5, 3, 2, 4])) + +test5 :: Test +test5 = TestCase (assertEqual "for (minimumArrayLength [65, 7, 5, 67, 75, 39, 34, 13, 48, 65])," 1 (minimumArrayLength [65, 7, 5, 67, 75, 39, 34, 13, 48, 65])) + +test6 :: Test +test6 = TestCase (assertEqual "for (minimumArrayLength [895, 535, 66, 348, 458, 823, 698, 558, 55, 155, 340, 252, 115, 433, 59, 14, 610, 890, 533, 305, 356, 823, 380, 965, 881, 252, 489, 852, 562, 171, 990, 976, 28, 82, 820, 192, 275, 618, 79, 752, 504, 720, 519, 115, 507, 255, 298, 86, 108, 417, 437, 935, 371, 704, 962, 333, 487, 478, 640, 203, 94, 709, 269, 173, 375, 538, 488, 101, 986, 899, 58, 543, 167, 701, 212, 226, 671, 562, 728, 969, 733, 647, 825, 117, 968, 364, 434, 161, 311, 623, 615, 717, 482, 945, 313, 134, 520, 390, 499, 756, 614, 454, 987, 129, 155, 523, 544, 935, 130, 885, 89, 338, 423, 950, 933, 949, 40, 644, 769, 272, 236, 873, 337, 211, 349, 930, 253, 499, 788, 843, 632, 330, 257, 333, 47, 843, 914, 490, 939, 721, 733, 44, 898, 192, 528, 306, 260, 358, 95, 424, 804, 496, 973, 322, 391, 664, 257, 147, 684, 389, 803, 326, 15, 697, 140, 105, 929, 316, 310, 56, 726, 583, 954, 388, 452, 416, 446, 112, 200, 134, 495, 232, 361, 915, 538, 199, 853, 771, 562, 868, 342, 936, 276, 770, 120, 108, 28, 474, 903, 772, 962, 728, 340, 928, 671, 889, 13, 263, 589, 916, 476, 501, 310, 501, 879, 538, 806, 864, 769, 409, 838, 198, 81, 755, 166, 476, 824, 461, 182, 231, 171, 669, 643, 689, 513, 745, 357, 217, 784, 583, 195, 810, 42, 133, 645, 28, 334, 245, 155, 27, 352, 139, 982, 943, 211, 217, 775, 182, 924, 443, 984, 265, 96, 24, 668, 987, 77, 825, 685, 705, 209, 132, 20, 891, 50, 498, 383, 473, 917, 151, 177, 451, 692, 725, 393, 666, 771, 215, 862, 451, 11, 998, 158, 714, 467, 918, 771, 340, 359, 838, 889, 253, 534, 263, 38, 323, 717, 331, 125, 182, 656, 155, 668, 505, 91, 341, 157, 393, 234, 343, 296, 970, 608, 521, 111, 310, 606, 908, 208, 660, 477, 596, 202, 821, 250, 469, 593, 753, 320, 806, 503, 892, 471, 148, 253, 146, 634, 165, 555, 103, 268, 570, 531, 1000, 158, 846, 856, 852, 596, 710, 922, 202, 313, 24, 276, 493, 617, 337, 631, 867, 66, 131, 254, 262, 543, 676, 846, 50, 499, 504, 502, 536, 110, 500, 11, 428, 810, 237, 702, 926, 143, 5, 547, 625, 599, 681, 960, 627, 282, 273, 835, 932, 538, 691, 366, 336, 849, 505, 399, 693, 480, 652, 303, 847, 104, 662, 96, 696, 986, 977, 831, 164, 57, 236, 471, 542, 629, 519, 351, 316, 228, 380, 418, 375, 973, 707, 970, 168, 467, 262, 737, 681, 723, 514, 403, 298, 265, 155, 794, 220, 809, 737, 457, 990, 420, 917, 488, 685, 302, 222, 993, 792, 26, 800, 577, 840, 258, 213, 406, 21, 32, 101, 844, 798, 916, 400, 130, 710, 700, 302, 171, 379, 595, 118, 237, 21, 734, 27, 980, 753, 688, 191, 476, 234, 128, 718, 317, 465, 755, 751, 159, 869, 202, 489, 78, 867, 303, 775, 886, 711, 204, 716, 138, 615, 819, 478, 622, 801, 474, 632, 681, 319, 183, 212, 725, 65, 948, 563, 556, 232, 445, 993, 126, 464, 317, 450, 160, 699, 560, 280, 688, 178, 303, 166, 358, 94, 751, 891, 261, 805, 648, 552, 428, 826, 745, 387, 957, 411, 776, 40, 398, 430, 835, 195, 14, 988, 630, 204, 789, 590, 809, 978, 322, 975, 436, 983, 356, 895, 725, 911, 107, 724, 226, 943, 788, 429, 741, 240, 809, 325, 796, 251, 380, 395, 949, 277, 931, 121, 301, 633, 977, 608, 81, 46, 838, 807, 436, 202, 273, 853, 369, 735, 692, 111, 804, 43, 802, 838, 287, 51, 221, 603, 92, 361, 763, 177, 883, 827, 370, 242, 841, 317, 638, 725, 610, 357, 965, 677, 27, 607, 909, 117, 405, 246, 747, 624, 168, 159, 425, 111, 704, 473, 52, 402, 85, 914, 123, 21, 139, 47, 904, 286, 108, 713, 304, 47, 655, 474, 378, 319, 821, 62, 400, 894, 668, 823, 601, 403, 236, 474, 873, 282, 982, 807, 808, 530, 740, 268, 886, 623, 261, 673, 775, 543, 581, 989, 623, 513, 779, 352, 316, 934, 496, 764, 902, 103, 675, 67, 572, 488, 314, 194, 821, 437, 74, 989, 937, 859, 576, 114, 925, 87, 230, 778, 869, 839, 635, 106, 846, 845, 316, 857, 207, 389, 568, 432, 86, 380, 460, 800, 497, 191, 830, 401, 490, 816, 967, 595, 397, 557, 943, 858, 581])," 1 (minimumArrayLength [895, 535, 66, 348, 458, 823, 698, 558, 55, 155, 340, 252, 115, 433, 59, 14, 610, 890, 533, 305, 356, 823, 380, 965, 881, 252, 489, 852, 562, 171, 990, 976, 28, 82, 820, 192, 275, 618, 79, 752, 504, 720, 519, 115, 507, 255, 298, 86, 108, 417, 437, 935, 371, 704, 962, 333, 487, 478, 640, 203, 94, 709, 269, 173, 375, 538, 488, 101, 986, 899, 58, 543, 167, 701, 212, 226, 671, 562, 728, 969, 733, 647, 825, 117, 968, 364, 434, 161, 311, 623, 615, 717, 482, 945, 313, 134, 520, 390, 499, 756, 614, 454, 987, 129, 155, 523, 544, 935, 130, 885, 89, 338, 423, 950, 933, 949, 40, 644, 769, 272, 236, 873, 337, 211, 349, 930, 253, 499, 788, 843, 632, 330, 257, 333, 47, 843, 914, 490, 939, 721, 733, 44, 898, 192, 528, 306, 260, 358, 95, 424, 804, 496, 973, 322, 391, 664, 257, 147, 684, 389, 803, 326, 15, 697, 140, 105, 929, 316, 310, 56, 726, 583, 954, 388, 452, 416, 446, 112, 200, 134, 495, 232, 361, 915, 538, 199, 853, 771, 562, 868, 342, 936, 276, 770, 120, 108, 28, 474, 903, 772, 962, 728, 340, 928, 671, 889, 13, 263, 589, 916, 476, 501, 310, 501, 879, 538, 806, 864, 769, 409, 838, 198, 81, 755, 166, 476, 824, 461, 182, 231, 171, 669, 643, 689, 513, 745, 357, 217, 784, 583, 195, 810, 42, 133, 645, 28, 334, 245, 155, 27, 352, 139, 982, 943, 211, 217, 775, 182, 924, 443, 984, 265, 96, 24, 668, 987, 77, 825, 685, 705, 209, 132, 20, 891, 50, 498, 383, 473, 917, 151, 177, 451, 692, 725, 393, 666, 771, 215, 862, 451, 11, 998, 158, 714, 467, 918, 771, 340, 359, 838, 889, 253, 534, 263, 38, 323, 717, 331, 125, 182, 656, 155, 668, 505, 91, 341, 157, 393, 234, 343, 296, 970, 608, 521, 111, 310, 606, 908, 208, 660, 477, 596, 202, 821, 250, 469, 593, 753, 320, 806, 503, 892, 471, 148, 253, 146, 634, 165, 555, 103, 268, 570, 531, 1000, 158, 846, 856, 852, 596, 710, 922, 202, 313, 24, 276, 493, 617, 337, 631, 867, 66, 131, 254, 262, 543, 676, 846, 50, 499, 504, 502, 536, 110, 500, 11, 428, 810, 237, 702, 926, 143, 5, 547, 625, 599, 681, 960, 627, 282, 273, 835, 932, 538, 691, 366, 336, 849, 505, 399, 693, 480, 652, 303, 847, 104, 662, 96, 696, 986, 977, 831, 164, 57, 236, 471, 542, 629, 519, 351, 316, 228, 380, 418, 375, 973, 707, 970, 168, 467, 262, 737, 681, 723, 514, 403, 298, 265, 155, 794, 220, 809, 737, 457, 990, 420, 917, 488, 685, 302, 222, 993, 792, 26, 800, 577, 840, 258, 213, 406, 21, 32, 101, 844, 798, 916, 400, 130, 710, 700, 302, 171, 379, 595, 118, 237, 21, 734, 27, 980, 753, 688, 191, 476, 234, 128, 718, 317, 465, 755, 751, 159, 869, 202, 489, 78, 867, 303, 775, 886, 711, 204, 716, 138, 615, 819, 478, 622, 801, 474, 632, 681, 319, 183, 212, 725, 65, 948, 563, 556, 232, 445, 993, 126, 464, 317, 450, 160, 699, 560, 280, 688, 178, 303, 166, 358, 94, 751, 891, 261, 805, 648, 552, 428, 826, 745, 387, 957, 411, 776, 40, 398, 430, 835, 195, 14, 988, 630, 204, 789, 590, 809, 978, 322, 975, 436, 983, 356, 895, 725, 911, 107, 724, 226, 943, 788, 429, 741, 240, 809, 325, 796, 251, 380, 395, 949, 277, 931, 121, 301, 633, 977, 608, 81, 46, 838, 807, 436, 202, 273, 853, 369, 735, 692, 111, 804, 43, 802, 838, 287, 51, 221, 603, 92, 361, 763, 177, 883, 827, 370, 242, 841, 317, 638, 725, 610, 357, 965, 677, 27, 607, 909, 117, 405, 246, 747, 624, 168, 159, 425, 111, 704, 473, 52, 402, 85, 914, 123, 21, 139, 47, 904, 286, 108, 713, 304, 47, 655, 474, 378, 319, 821, 62, 400, 894, 668, 823, 601, 403, 236, 474, 873, 282, 982, 807, 808, 530, 740, 268, 886, 623, 261, 673, 775, 543, 581, 989, 623, 513, 779, 352, 316, 934, 496, 764, 902, 103, 675, 67, 572, 488, 314, 194, 821, 437, 74, 989, 937, 859, 576, 114, 925, 87, 230, 778, 869, 839, 635, 106, 846, 845, 316, 857, 207, 389, 568, 432, 86, 380, 460, 800, 497, 191, 830, 401, 490, 816, 967, 595, 397, 557, 943, 858, 581])) + +test7 :: Test +test7 = TestCase (assertEqual "for (minimumArrayLength [3721, 332, 7193, 3646, 7062, 4704, 6262, 4369, 8052, 3640, 8655, 9043, 7741, 2130, 6761, 2336, 8367, 3725, 8659, 9759, 7038, 9190, 2703, 2665, 9834, 2287, 4351, 4548, 7896, 4637, 1349, 4258, 3135, 8522, 5425, 5142, 7611, 2352, 253, 1118, 6364, 3002, 7801, 9328, 9234, 3367, 5276, 7319, 8683, 3484, 3970, 6919, 2176, 2471, 364, 1819, 4556, 3441, 4405, 5333, 9121, 9598, 7396, 3891, 3406, 6566, 3247, 1505, 6232, 6880, 51, 5129, 223, 1246, 9562, 3930, 1017, 2742, 2720, 4777, 2904, 9647, 9935, 5929, 7279, 5719, 3017, 3390, 1813, 6660, 5491, 1691, 7873, 5277, 2819, 8786, 1767, 5346, 5858, 3338, 8626, 2655, 6228, 8895, 1675, 1206, 5951, 3707, 2932, 7322, 5885, 3241, 5449, 8221, 1581, 4373, 8269, 5770, 8894, 8837, 4469, 5096, 3382, 6760, 6343, 5279, 9948, 2372, 8375, 2186, 1755, 2450, 1478, 9408, 2390, 3334, 8800, 1245, 8366, 9040, 5554, 6115, 6953, 7472, 6612, 1244, 2363, 5153, 301, 9310, 7481, 4678, 432, 115, 5752, 5208, 2822, 5789, 7237, 1747, 9259, 93, 2411, 1715, 9117, 8548, 394, 2942, 534, 2198, 7050, 1824, 4490, 8519, 8164, 464, 8455, 6350, 295, 2861, 9809, 3255, 9852, 1021, 1473, 7377, 4613, 4154, 3717, 5558, 4647, 1693, 2714, 4889, 7559, 5775, 8978, 3702, 5053, 1672, 1938, 7194, 9886, 9711, 2970, 6434, 6504, 191, 5522, 8708, 1000, 7974, 1979, 6675, 5010, 3977, 8214, 4879, 8065, 6687, 9502, 1105, 6808, 6555, 9537, 7782, 3283, 5950, 7207, 5616, 933, 514, 2252, 7454, 5292, 2966, 8707, 2708, 2088, 3167, 5780, 1747, 7271, 8556, 2156, 7239, 2373, 7927, 3431, 3570, 1150, 3465, 7850, 6456, 1145, 957, 2814, 5372, 5526, 309, 8786, 5734, 3298, 6424, 7418, 5994, 2004, 267, 7733, 5212, 4763, 1736, 1815, 8736, 932, 2902, 8421, 5918, 6992, 8636, 9402, 1567, 3372, 5128, 6580, 4384, 7039, 8428, 5260, 4923, 6958, 5491, 5420, 9382, 2853, 6080, 5015, 1897, 7617, 2234, 3158, 1411, 1924, 9699, 9016, 7707, 6567, 5850, 5186, 5709, 1951, 9878, 7080, 5069, 9383, 3971, 3457, 4332, 3645, 1801, 1836, 9526, 3869, 4335, 420, 5348, 8939, 5893, 6172, 6144, 3072, 1704, 4080, 3844, 2178, 7107, 1623, 4292, 1472, 377, 3296, 8048, 3477, 608, 8251, 1846, 4063, 7261, 2319, 6773, 9877, 5562, 5058, 1532, 5628, 9269, 5996, 1361, 8730, 8, 66, 6079, 4460, 3008, 4334, 2242, 9717, 5635, 5921, 1844, 8586, 499, 4982, 622, 3498, 7012, 365, 8242, 2363, 2586, 6650, 1514, 5177, 8146, 9185, 6838, 126, 760, 9382, 6060, 6819, 7205, 8866, 2591, 286, 6712, 1940, 8353, 807, 5656, 7107, 1872, 5451, 9888, 6050, 3907, 909, 8982, 5615, 9370, 6478, 2629, 754, 4789, 618, 6971, 7444, 2599, 3186, 1248, 8325, 5565, 9178, 1336, 3693, 8517, 2727, 1307, 8797, 6481, 5743, 5184, 630, 5311, 4660, 8900, 4322, 1930, 511, 2291, 9566, 8741, 5014, 1417, 1004, 5344, 1118, 9417, 825, 5392, 6059, 4736, 5726, 4647, 9453, 202, 105, 5259, 2146, 8072, 4694, 7243, 8684, 1649, 6915, 5043, 8233, 7728, 3118, 3439, 4844, 5415, 2809, 8213, 4424, 7937, 6095, 3637, 6873, 6479, 8539, 5845, 3051, 617, 3049, 8682, 6335, 3730, 3129, 4138, 5471, 3919, 2510, 3096, 4506, 8595, 3513, 8470, 6369, 9767, 4598, 7650, 9641, 3410, 5166, 8832, 9871, 9705, 9675, 3326, 3087, 1587, 6812, 7939, 5261, 4668, 8735, 4866, 3743, 6946, 2818, 5167, 485, 8669, 146, 9370, 5011, 4708, 7570, 4736, 1314, 6901, 3969, 6798, 9984, 6882, 1793, 5047, 8077, 7969, 7228, 2764, 9659, 667, 7663, 3722, 489, 7990, 1659, 4181, 7494, 7328, 7043, 2686, 750, 1984, 3029, 8772, 5824, 6213, 4841, 4515, 974, 1629, 468, 6518, 1133, 493, 5945, 6211, 2513, 723, 902, 766, 8731, 1987, 8304, 787, 923, 9677, 2607, 2293, 2282, 2596, 1689, 6330, 4214, 9232, 5042, 5525, 2814, 7519, 5598, 8311, 8786, 6205, 9382, 194, 460, 2080, 9092, 9637, 5700, 7583, 3341, 1437, 3303, 8197, 3853, 3693, 7972, 3146, 6784, 9291, 6781, 4443, 3731, 251, 4630, 8826, 3969, 6734, 9650, 9523, 341, 8727, 8115, 9376, 1069, 8542, 163, 5898, 4403, 4569, 5810, 7859, 5892, 8359, 1049, 728, 6797, 2899, 3453, 9771, 2675, 236, 96, 6938, 476, 1531, 9529, 8649, 1206, 5497, 1259, 1151, 6588, 2319, 124, 1680, 6883, 1954, 5494, 4528, 5748, 6323, 5008, 6390, 5290, 1510, 1717, 1253, 1232, 5236, 1213, 8187, 336, 6543, 7564, 2179, 2515, 4802, 6943, 1119, 1288, 7695, 5469, 1118, 3013, 8453, 8659, 3887, 6094, 9437, 2841, 7975, 9693, 6032, 2456, 8563, 6777, 7878, 2520, 8619, 8141, 9689, 5346, 7104, 6452, 569, 1359, 8133, 8374, 9874, 262, 3001, 7337, 2445, 3975, 6833, 6684, 3316, 4359, 2612, 5668, 2961, 3731, 9916, 273, 7389, 1187, 7273, 5754, 4770, 5738, 395, 8794, 2276, 9944, 2270, 676, 4132, 9022, 8505, 5154, 9033, 8402, 5814, 9732, 8794, 5647, 8243, 9204, 2965, 6294, 9588, 2398, 8154, 4278, 6886, 2704, 6124, 6207, 8773, 3867, 6317, 4934, 5202, 1734, 8007, 3011, 4321, 2631, 6594, 2139, 2461, 6001, 9897, 4999, 1542, 7945, 8305, 2752, 6584, 4169, 9190, 5899, 3086, 7877, 9164, 1287, 5016, 1750, 437, 1787, 1429, 1420, 2075, 3000, 3348, 4818, 6608, 4769, 5358, 3544, 6196, 1064, 5019, 9432, 1110, 9171, 6244, 4872, 2861, 2324, 4377, 9491, 8306, 4394, 7267, 1845, 8243, 6938, 4226, 2359, 8881, 1702, 9721, 7838, 5960, 9778, 9590, 5613, 8523, 8062, 9206, 3977, 8718, 6825, 3625, 7399, 5480, 5803, 763, 7941, 4721, 252, 7553, 8254, 1993, 3895, 6747, 7615, 8965, 2657, 7608, 930, 3174, 5835, 9638, 7756, 9776, 976, 2373, 8791, 8781, 8386, 6635, 6356, 6373, 4876, 5659, 7156, 1092, 109, 6155, 9983, 285, 8930, 6971, 125, 2225, 3290, 7793, 923, 150, 1973, 7022, 9586, 3811, 719, 2411, 4354, 3175, 6119, 741, 4896, 4861, 393, 5286, 1375, 5437, 4308, 6448, 3951, 2968, 1104, 9060, 4180, 1490, 9561, 8658, 3197, 6082, 2315, 6076, 9157, 8856, 2488, 9746, 4206, 6865, 9401, 6188, 9111, 9973, 9653, 2706, 3958, 2378, 7155, 260, 9037, 2918, 8491, 393, 8107, 4767, 5090, 8214, 1082, 894, 5579, 457, 1464, 1552, 5568, 6732, 7003, 5075, 482, 9829, 1350, 4768, 3028, 1171, 7996, 5826, 8876, 9053, 3168, 8400, 2056, 2477, 9011, 1540, 19, 14, 5453, 2815, 4677, 9865, 7732, 9566, 302, 5336, 3328, 1358, 4149, 9716, 3951, 7201, 4159, 9985, 6329, 2825, 9731, 3936, 8950, 524, 6386, 3385, 282, 3358, 4444, 5189, 2386, 8722, 5135, 5045, 7141, 1090, 7215, 6310, 4567, 4418, 6466, 5915, 193, 3929, 9539, 342, 4469, 3052, 6143, 6283, 505, 9588, 4842, 7092, 2004, 2152, 7113, 2640, 6931, 4863, 9392, 8803, 9973, 1468, 4850, 3503, 1658, 6624, 5108, 4022, 197, 8813, 554, 1478, 4805, 3075, 306, 2252, 8329, 5763, 3884, 8741, 8103, 5769, 2892, 9377, 4536, 9897, 6077, 7054, 8102, 2608, 4140, 1024, 7834, 1872, 5052, 1863, 1828, 5404, 6285, 9544, 9888, 3912, 6200, 9738, 2660, 901, 1819, 5303, 2996, 9001, 6512, 5677, 9543, 6710, 6412, 108, 883, 4513, 7924, 6217, 9756, 9326, 1468, 6029, 7301, 2249, 5735, 5326, 8580, 8977, 6915, 6958, 8916, 7886, 519, 8575, 9038, 6532, 7248, 2084, 6304, 3377, 1195, 8028, 5414, 7894, 6078, 5396, 1935, 5176, 6877, 5086, 6993, 2384, 1604, 8876, 8735, 6111, 520, 982, 2135, 1152, 8781, 5708, 340, 2932, 8997, 7344, 247, 7230, 6726, 1282, 944, 9779, 8296, 2891, 5099, 9886, 7444, 6524, 4252, 6554, 4921, 6166, 9553, 1152, 9222, 4524, 6269, 6464, 8865, 7901, 6576, 9052, 6389, 8946, 1593, 141, 5613, 7925, 9559, 9332, 8988, 8768, 7381, 3521, 9786, 339, 9916, 3333, 4264, 3718, 4753, 4055, 5044, 7316, 9595, 6589, 8475, 8728, 7716, 6854, 2539, 8709, 3524, 1977, 7492, 2620, 1459, 9093, 338, 762, 9741, 3949, 2358, 4190, 7149, 9571, 5277, 9835, 8973, 3676, 277, 6973, 2911, 6544, 837, 862, 7298, 5643, 381, 4033, 9329, 2996, 8166, 9608, 9058, 4693, 6674, 2448, 2650, 4745, 1501, 5370, 4655, 5971, 9290, 8580, 8563, 9010, 3892, 298, 574, 4432, 2284, 6415, 9843, 5561, 6200, 1164, 9929, 8966, 1970, 6663, 7675, 7986, 6792, 9175, 9495, 7993, 3750, 4801, 7616, 1269, 6816, 6299, 7660, 5958, 7223, 9542, 5790, 6152, 9240, 2071, 5006, 927, 7770, 9347, 4413, 7411, 5426, 8080, 7729, 2998, 75, 2917, 1780, 1763, 698, 10000, 8732, 4983, 5151, 9444, 2178, 8840, 6902, 1538, 6951, 450, 4752, 7337, 5671, 7525, 5031, 3191, 6999, 125, 7105, 872, 2519, 4698, 9439, 4570, 1271, 6723, 1525, 2480, 3910, 1331, 625, 600, 4434, 356, 7389, 870, 3889, 3350, 4182, 7067, 3409, 3081, 2210, 1603, 4144, 3760, 447, 8299, 6251, 9903, 6004, 10, 1586, 3682, 3794, 9485, 1475, 5308, 7112, 967, 2182, 8668, 8671, 810, 5701, 1731, 9667, 846, 7312, 3233, 2214, 6784, 861, 8418, 1684, 3359, 6608, 8465, 5989, 1699, 2183, 2605, 3324, 2733, 3690, 4805, 203, 4051, 1303, 9837, 4548, 7659, 8080, 9333, 853, 829, 9318, 5018, 2514, 2322, 2775, 5372, 2897, 2840, 2576, 9722, 6676, 5899, 6679, 5732, 219, 8009, 5205, 2908, 4376, 397, 5137, 7040, 9309, 3166, 908, 5192, 6125, 7310, 6928, 3898, 4442, 8332, 9566, 3915, 6232, 249, 9090, 3960, 6598, 3395, 2831, 6537, 2306, 1096, 2987, 4624, 5285, 8120, 7589, 3790, 7118, 4137, 3590, 5840, 7992, 9697, 3978, 7172, 9008, 6239, 2145, 7471, 3456, 4260, 7774, 153, 1066, 4669, 4557, 5417, 6358, 9328, 8437, 9411, 580, 4703, 2569, 7150, 4298, 3065, 1020, 6967, 3675, 7824, 477, 3183, 7893, 5729, 3296, 7217, 612, 4040, 7470, 4099, 604, 8404, 9413, 1134, 640, 4765, 536, 8798, 3067, 1802, 4394, 9446, 5233, 897, 4650, 5063, 3699, 251, 4331, 4976, 4400, 9903, 1086, 6596, 788, 6506, 4738, 6373, 9371, 3289, 929, 9111, 3092, 9186, 5638, 9107, 3174, 1823, 9341, 8930, 500, 6486, 1525, 557, 137, 4594, 8385, 4157, 3401, 754, 7404, 1599, 946, 1916, 1587, 5803, 208, 1079, 7575, 7290, 1434, 7826, 855, 7741, 304, 5227, 1018, 6616, 7747, 2689, 5008, 2422, 2496, 3470, 1565, 7100, 2811, 3668, 7890, 6808, 5787, 9289, 9815, 8587, 1645, 7115, 9435, 427, 4347, 4884, 9136, 9318, 6393, 8758, 3247, 3960, 982, 1383, 5755, 3727, 1, 3331, 3088, 5273, 4428, 627, 9132, 9563, 1078, 9478, 9902, 5764, 8683, 1085, 2758, 8396, 5663, 2154, 9123, 7296, 8583, 1959, 2127, 2004, 3921, 4319, 252, 5500, 2472, 4021, 8850, 4299, 6168, 2731, 1304, 8284, 6351, 2712, 6632, 2599, 466, 1003, 8559, 143, 3528, 386, 661, 5498, 3392, 2419, 4420, 5253, 3667, 6928, 2360, 4206, 7384, 771, 4143, 3589, 2240, 5873, 5017, 7792, 7683, 6881, 2330, 4580, 7802, 912, 8133, 7915, 8036, 3316, 323, 5553, 1529, 9855, 3980, 3597, 2469, 4639, 8585, 3713, 3770, 8918, 7185, 1646, 7889, 3324, 7526, 4476, 5879, 6928, 1243, 1478, 111, 5164, 1157, 9757, 6978, 8091, 454, 3352, 4773, 4590, 5616, 8882, 5794, 5337, 9573, 6223, 8857, 4682, 5390, 1701, 1684, 8675, 1831, 371, 7233, 9294, 6008, 6798, 6359, 6540, 5582, 2497, 8265, 5191, 6903, 8513, 5822, 3598, 2119, 5222, 6948, 9055, 394, 2766, 488, 3824, 3803, 2690, 6420, 4900, 7112, 61, 5532, 2799, 793, 9910, 5242, 5379, 120, 4262, 8476, 8583, 3391, 1481, 6846, 2132, 7145, 410, 5865, 3867, 5256, 5980, 2779, 5859, 9212, 8305, 6303, 1584, 6215, 1921, 3334, 1410, 3571, 3973, 2625, 9722, 8825, 6395, 6707, 2228, 129, 3661, 7828, 6358, 4241, 138, 7928, 6052, 5748, 3227, 8258, 9879, 129, 50, 2904, 9322, 2180, 8871, 6130, 7418, 302, 1013, 4598, 7300, 5583, 9619, 7828, 8601, 4270, 7749, 2870, 6989, 470, 1638, 4364, 1138, 4054, 6437, 5272, 1478, 1918, 8037, 9626, 7930, 3911, 5175, 4375, 956, 3377, 4799, 6499, 6618, 9463, 2053, 5148, 9576, 586, 5658, 866, 8961, 9101, 3081, 9750, 1696, 7282, 458, 1257, 1662, 8897, 6026, 6612, 3754, 4875, 8067, 8615, 9788, 1268, 340, 7023, 464, 1294, 6797, 4727, 234, 5419, 9082, 5148, 4703, 8746, 202, 7567, 7254, 2636, 2688, 3356, 6189, 9681, 6326, 1556, 6099, 5250, 2288, 8370, 6661, 5858, 2637, 6267, 8909, 9215, 8779, 7811, 4877, 1707, 2448, 1807, 5253, 3154, 112, 7732, 5260, 682, 5468, 2701, 2057, 3990, 2736, 8600, 2051, 4385, 7381, 322, 458, 7543, 2874, 9258, 9714, 3521, 5630, 2772, 8391, 9408, 1442, 8118, 9687, 7660, 9034, 341, 5762, 2999, 2304, 9307, 6002, 2522, 7315, 7180, 9665, 1884, 958, 6800, 7069, 1319, 9129, 5381, 9697, 6921, 2582, 1676, 7914, 8195, 566, 521, 2116, 6170, 7809, 490, 6706, 1188, 7364, 3247, 6804, 1916, 1953, 8733, 4514, 1881, 9707, 9646, 4352, 1155, 3517, 8850, 185, 4711, 7695, 4149, 5301, 5534, 8126, 6360, 8742, 5470, 1825, 9918, 9474, 6000, 8089, 1355, 703, 5103, 1990, 8645, 2550, 189, 3176, 2399, 9063, 3169, 5427, 2384, 6262, 8250, 5836, 9967, 7995, 1649, 4535, 7935, 1177, 5286, 7953, 9724, 9825, 3551, 4508, 4809, 7929, 6303, 5140, 5799, 629, 5555, 4695, 2755, 8995, 7564, 3552, 15, 4328, 9622, 4632, 5724, 7013, 2531, 1923, 8124, 6599, 8368, 6911, 4337, 4139, 8649, 7713, 5759, 5388, 1180, 3176, 8501, 8967, 9976, 7837, 9493, 4086, 3320, 6476, 4387, 3405, 7894, 4042, 1554, 4113, 65, 9729, 8176, 8375, 1995, 7424, 3501, 6725, 8342, 6895, 4961, 927, 8701, 191, 5831, 6931, 7083, 7096, 2145, 3570, 5577, 871, 1528, 244, 6471, 176, 8435, 7059, 4403, 8856, 2764, 579, 1388, 914, 8917, 1393, 9529, 9926, 8043, 7298, 9687, 5436, 4667, 8135, 4862, 8875, 6046, 8435, 571, 2963, 565, 3812, 6529, 1703, 5003, 534, 7944, 9259, 496, 4969, 5249, 5595, 5359, 2977, 3516, 207, 5627, 4143, 5392, 8882, 1777, 8348, 6142, 1523, 1120, 5819, 69, 3032, 2422, 3979, 1842, 9344, 778, 4268, 7845, 4280, 2946, 8941, 6754, 6557, 8961, 922, 8467, 2235, 1304, 5556, 4379, 6895, 8320, 5217, 990, 6016, 7337, 5286, 4935, 5542, 7254, 6464, 7681, 6999, 2537, 1451, 4282, 3035, 5273, 3967, 8408, 5139, 8346, 8043, 2983, 7484, 8533, 4805, 7525, 8488, 9417, 1167, 3798, 4939, 7410, 1541, 2966, 7258, 129, 5014, 7043, 7840, 8139, 6036, 6365, 8424, 829, 4841, 4714, 5319, 788, 8301, 1113, 103, 6596, 4419, 4052, 8545, 6839, 7020, 6766, 9980, 5979, 830, 8428, 1619, 7968, 3483, 3103, 9190, 4978, 9351, 579, 1652, 6434, 7781, 1177, 7105, 3978, 9763, 670, 6458, 3381, 8100, 2996, 2577, 9350, 4396, 3027, 1392, 5534, 3420, 9200, 4341, 9051, 4456, 3648, 9639, 6415, 7202, 494, 5079, 1198, 5491, 9625, 6680, 1052, 1665, 5750, 4694, 388, 6822, 5751, 1757, 9133, 3684, 4055, 2295, 5464, 1654, 2219, 2433, 3800, 3259, 7862, 5401, 2201, 9681, 2742, 4274, 3933, 352, 5944, 6303, 4062, 6558, 6860, 4525, 9947, 937, 1635, 768, 8909, 446, 4457, 8170, 7048, 5402, 990, 2303, 6793, 1832, 3814, 8663, 5681, 7377, 9541, 7831, 2247, 9580, 6190, 9703, 3107, 5020, 6437, 6421, 4330, 6449, 1272, 9807, 8809, 6494, 2395, 825, 4164, 3680, 1488, 1275, 3286, 6288, 4435, 2347, 8339, 9795, 3288, 7776, 4535, 5434, 2242, 4022, 6199, 8953, 5618, 6640, 3376, 7643, 3696, 1829, 198, 9387, 3508, 6657, 8477, 5807, 6870, 3692, 1436, 8683, 3584, 9458, 8559, 5876, 5250, 2700, 6841, 6676, 3022, 1650, 9241, 880, 1835, 1147, 7019, 9467, 9186, 3857, 3693, 5005, 8845, 4840, 4095, 2781, 4294, 2420, 8609, 9249, 1770, 7628, 2156, 7620, 399, 7706, 5142, 1997, 4931, 5170, 1686, 2166, 7092, 6707, 3381, 4836, 197, 736, 9779, 2337, 9762, 3246, 2383, 4502, 1762, 6046, 4712, 5863, 9649, 6446, 9436, 3484, 5052, 1770, 3855, 3351, 3324, 9434, 8037, 3149, 6489, 8412, 3283, 7276, 4497, 2984, 579, 2266, 285, 1041, 1767, 8507, 1304, 1140, 5624, 1034, 2632, 137, 2808, 2223, 7278, 8231, 4516, 8899, 5347, 8502, 7940, 62, 1751, 2745, 4204, 9208, 9451, 2602, 2645, 3479, 2828, 6855, 6549, 8956, 5040, 3966, 4320, 4280, 1789, 2496, 5032, 1961, 4373, 2740, 3735, 3737, 5246, 1990, 3055, 6526, 751, 5607, 4828, 1174, 3659, 7803, 3441, 8630, 4815, 4143, 8314, 9910, 7735, 3860, 8387, 9284, 6411, 9329, 8245, 2369, 337, 201, 9963, 1035, 6652, 7391, 2407, 5219, 8955, 4128, 4582, 1884, 6168, 1039, 1607, 8190, 7034, 157, 2478, 8209, 9833, 2564, 2350, 6623, 8298, 7611, 3268, 1133, 4626, 3695, 7513, 8088, 7253, 8831, 7840, 2531, 8919, 7648, 4743, 6222, 7618, 244, 3170, 415, 4288, 1589, 4612, 3091, 6536, 7837, 5485, 1263, 3652, 6098, 1633, 9762, 9080, 5131, 9370, 2568, 3010, 9957, 6586, 6432, 6599, 6640, 588, 4034, 2843, 9051, 8990, 5005, 1919, 2414, 8429, 6282, 3406, 7982, 2353, 3113, 2439, 9382, 6599, 1437, 772, 1786, 4115, 5820, 1557, 6816, 1818, 109, 349, 8609, 6571, 3438, 5873, 5681, 5019, 4990, 6488, 456, 7038, 9514, 3862, 5254, 1892, 4896, 9928, 7569, 5624, 2657, 2387, 3389, 2034, 2929, 5136, 9569, 3090, 8396, 5507, 627, 8907, 6984, 2050, 9364, 6902, 4374, 7223, 535, 4810, 2075, 7979, 6943, 4144, 6648, 4776, 2763, 1486, 3139, 4336, 7303, 3611, 9852, 8055, 929, 9651, 8500, 1995, 4107, 5020, 5622, 2588, 7835, 1635, 7503, 6212, 9025, 8034, 8055, 8223, 1098, 6249, 7734, 1384, 1132, 2072, 6766, 7017, 5351, 7809, 6386, 8441, 2807, 758, 1456, 6100, 9417, 322, 2171, 2654, 4131, 4332, 3843, 172, 4271, 4013, 3909, 9953, 3129, 6288, 7751, 5970, 7508, 9357, 5412, 6220, 6113, 4587, 2236, 6270, 3846, 8480, 7592, 8319, 9776, 8546, 7861, 9790, 571, 327, 8572, 1028, 9217, 2119, 4933, 1991, 1980, 9802, 8485, 1673, 4833, 1320, 2180, 2781, 7392, 100, 4912, 2428, 2737, 5983, 906, 5087, 5147, 4529, 5800, 3426, 6369, 4157, 3513, 8904, 7040, 2687, 7817, 2672, 7959, 9784, 8776, 9746, 1630, 24, 4481, 8562, 4745, 525, 1109, 7836, 2619, 6287, 7914, 4193, 6548, 2223, 1612, 1183, 7118, 8595, 1988, 8204, 2577, 4726, 5712, 4530, 5917, 655, 2427, 4476, 5460, 4665, 3857, 2002, 372, 1739, 3925, 7494, 176, 3234, 7109, 5158, 5649, 2918, 7284, 3372, 612, 9741, 2367, 6174, 6520, 7307, 1821, 207, 6380, 8813, 4521, 6650, 2995, 2398, 879, 5537, 2414, 5397, 1925, 5960, 6391, 1266, 4690, 2038, 413, 2211, 7855, 4060, 3610, 552, 1327, 745, 4142, 9294, 5453, 9609, 4687, 842, 8310, 4599, 9887, 9463, 9486, 2336, 3847, 5232, 7161, 8686, 8878, 4278, 9348, 5786, 7057, 6710, 7471, 2509, 7711, 3855, 9349, 9522, 8437, 9483, 4068, 6706, 9617, 4491, 7980, 7116, 2867, 9850, 3250, 5263, 2864, 6716, 1987, 6095, 6550, 7356, 7423, 6080, 216, 9092, 1505, 8720, 8107, 4915, 5002, 9762, 5880, 4282, 8384, 7616, 8293, 3797, 8371, 154, 6200, 797, 3624, 4590, 809, 9953, 8272, 7207, 2293, 8174, 6864, 9202, 2218, 7927, 8106, 1312, 1212, 8267, 6505, 8845, 8232, 8025, 1357, 6916, 8704, 4185, 8231, 1033, 5574, 5455, 5413, 4478, 5345, 3764, 9926, 1897, 7538, 9552, 8462, 778, 9155, 4176, 4591, 9396, 642, 8745, 5196, 6274, 2441, 1335, 3947, 7922, 3841, 7357, 4595, 2518, 9767, 3546, 4930, 3271, 2107, 4021, 8704, 8177, 9012, 6659, 4368, 8220, 258, 1094, 559, 9629, 1970, 3747, 7346, 5391, 4376, 2910, 1560, 3889, 3682, 9436, 1413, 144, 8093, 1885, 3344, 6323, 6062, 5994, 4471, 6804, 9313, 8055, 8246, 8062, 8558, 7795, 6568, 9820, 5332, 8323, 8337, 8582, 2053, 8854, 3039, 3273, 4614, 4007, 1114, 1259, 403, 8952, 5017, 6732, 5382, 2652, 9343, 2909, 1052, 6363, 9798, 9578, 193, 6638, 1988, 553, 5423, 9862, 7495, 5720, 6680, 6332, 3321, 8321, 4070, 8532, 8210, 3194, 8061, 1482, 4473, 8872, 3380, 105, 6863, 2670, 3191, 4569, 2287, 5968, 2848, 7951, 6454, 7639, 6486, 381, 1060, 4671, 664, 435, 913, 7175, 3050, 4593, 2903, 1315, 1512, 4585, 228, 1273, 6161, 5015, 5759, 2058, 6749])," 1 (minimumArrayLength [3721, 332, 7193, 3646, 7062, 4704, 6262, 4369, 8052, 3640, 8655, 9043, 7741, 2130, 6761, 2336, 8367, 3725, 8659, 9759, 7038, 9190, 2703, 2665, 9834, 2287, 4351, 4548, 7896, 4637, 1349, 4258, 3135, 8522, 5425, 5142, 7611, 2352, 253, 1118, 6364, 3002, 7801, 9328, 9234, 3367, 5276, 7319, 8683, 3484, 3970, 6919, 2176, 2471, 364, 1819, 4556, 3441, 4405, 5333, 9121, 9598, 7396, 3891, 3406, 6566, 3247, 1505, 6232, 6880, 51, 5129, 223, 1246, 9562, 3930, 1017, 2742, 2720, 4777, 2904, 9647, 9935, 5929, 7279, 5719, 3017, 3390, 1813, 6660, 5491, 1691, 7873, 5277, 2819, 8786, 1767, 5346, 5858, 3338, 8626, 2655, 6228, 8895, 1675, 1206, 5951, 3707, 2932, 7322, 5885, 3241, 5449, 8221, 1581, 4373, 8269, 5770, 8894, 8837, 4469, 5096, 3382, 6760, 6343, 5279, 9948, 2372, 8375, 2186, 1755, 2450, 1478, 9408, 2390, 3334, 8800, 1245, 8366, 9040, 5554, 6115, 6953, 7472, 6612, 1244, 2363, 5153, 301, 9310, 7481, 4678, 432, 115, 5752, 5208, 2822, 5789, 7237, 1747, 9259, 93, 2411, 1715, 9117, 8548, 394, 2942, 534, 2198, 7050, 1824, 4490, 8519, 8164, 464, 8455, 6350, 295, 2861, 9809, 3255, 9852, 1021, 1473, 7377, 4613, 4154, 3717, 5558, 4647, 1693, 2714, 4889, 7559, 5775, 8978, 3702, 5053, 1672, 1938, 7194, 9886, 9711, 2970, 6434, 6504, 191, 5522, 8708, 1000, 7974, 1979, 6675, 5010, 3977, 8214, 4879, 8065, 6687, 9502, 1105, 6808, 6555, 9537, 7782, 3283, 5950, 7207, 5616, 933, 514, 2252, 7454, 5292, 2966, 8707, 2708, 2088, 3167, 5780, 1747, 7271, 8556, 2156, 7239, 2373, 7927, 3431, 3570, 1150, 3465, 7850, 6456, 1145, 957, 2814, 5372, 5526, 309, 8786, 5734, 3298, 6424, 7418, 5994, 2004, 267, 7733, 5212, 4763, 1736, 1815, 8736, 932, 2902, 8421, 5918, 6992, 8636, 9402, 1567, 3372, 5128, 6580, 4384, 7039, 8428, 5260, 4923, 6958, 5491, 5420, 9382, 2853, 6080, 5015, 1897, 7617, 2234, 3158, 1411, 1924, 9699, 9016, 7707, 6567, 5850, 5186, 5709, 1951, 9878, 7080, 5069, 9383, 3971, 3457, 4332, 3645, 1801, 1836, 9526, 3869, 4335, 420, 5348, 8939, 5893, 6172, 6144, 3072, 1704, 4080, 3844, 2178, 7107, 1623, 4292, 1472, 377, 3296, 8048, 3477, 608, 8251, 1846, 4063, 7261, 2319, 6773, 9877, 5562, 5058, 1532, 5628, 9269, 5996, 1361, 8730, 8, 66, 6079, 4460, 3008, 4334, 2242, 9717, 5635, 5921, 1844, 8586, 499, 4982, 622, 3498, 7012, 365, 8242, 2363, 2586, 6650, 1514, 5177, 8146, 9185, 6838, 126, 760, 9382, 6060, 6819, 7205, 8866, 2591, 286, 6712, 1940, 8353, 807, 5656, 7107, 1872, 5451, 9888, 6050, 3907, 909, 8982, 5615, 9370, 6478, 2629, 754, 4789, 618, 6971, 7444, 2599, 3186, 1248, 8325, 5565, 9178, 1336, 3693, 8517, 2727, 1307, 8797, 6481, 5743, 5184, 630, 5311, 4660, 8900, 4322, 1930, 511, 2291, 9566, 8741, 5014, 1417, 1004, 5344, 1118, 9417, 825, 5392, 6059, 4736, 5726, 4647, 9453, 202, 105, 5259, 2146, 8072, 4694, 7243, 8684, 1649, 6915, 5043, 8233, 7728, 3118, 3439, 4844, 5415, 2809, 8213, 4424, 7937, 6095, 3637, 6873, 6479, 8539, 5845, 3051, 617, 3049, 8682, 6335, 3730, 3129, 4138, 5471, 3919, 2510, 3096, 4506, 8595, 3513, 8470, 6369, 9767, 4598, 7650, 9641, 3410, 5166, 8832, 9871, 9705, 9675, 3326, 3087, 1587, 6812, 7939, 5261, 4668, 8735, 4866, 3743, 6946, 2818, 5167, 485, 8669, 146, 9370, 5011, 4708, 7570, 4736, 1314, 6901, 3969, 6798, 9984, 6882, 1793, 5047, 8077, 7969, 7228, 2764, 9659, 667, 7663, 3722, 489, 7990, 1659, 4181, 7494, 7328, 7043, 2686, 750, 1984, 3029, 8772, 5824, 6213, 4841, 4515, 974, 1629, 468, 6518, 1133, 493, 5945, 6211, 2513, 723, 902, 766, 8731, 1987, 8304, 787, 923, 9677, 2607, 2293, 2282, 2596, 1689, 6330, 4214, 9232, 5042, 5525, 2814, 7519, 5598, 8311, 8786, 6205, 9382, 194, 460, 2080, 9092, 9637, 5700, 7583, 3341, 1437, 3303, 8197, 3853, 3693, 7972, 3146, 6784, 9291, 6781, 4443, 3731, 251, 4630, 8826, 3969, 6734, 9650, 9523, 341, 8727, 8115, 9376, 1069, 8542, 163, 5898, 4403, 4569, 5810, 7859, 5892, 8359, 1049, 728, 6797, 2899, 3453, 9771, 2675, 236, 96, 6938, 476, 1531, 9529, 8649, 1206, 5497, 1259, 1151, 6588, 2319, 124, 1680, 6883, 1954, 5494, 4528, 5748, 6323, 5008, 6390, 5290, 1510, 1717, 1253, 1232, 5236, 1213, 8187, 336, 6543, 7564, 2179, 2515, 4802, 6943, 1119, 1288, 7695, 5469, 1118, 3013, 8453, 8659, 3887, 6094, 9437, 2841, 7975, 9693, 6032, 2456, 8563, 6777, 7878, 2520, 8619, 8141, 9689, 5346, 7104, 6452, 569, 1359, 8133, 8374, 9874, 262, 3001, 7337, 2445, 3975, 6833, 6684, 3316, 4359, 2612, 5668, 2961, 3731, 9916, 273, 7389, 1187, 7273, 5754, 4770, 5738, 395, 8794, 2276, 9944, 2270, 676, 4132, 9022, 8505, 5154, 9033, 8402, 5814, 9732, 8794, 5647, 8243, 9204, 2965, 6294, 9588, 2398, 8154, 4278, 6886, 2704, 6124, 6207, 8773, 3867, 6317, 4934, 5202, 1734, 8007, 3011, 4321, 2631, 6594, 2139, 2461, 6001, 9897, 4999, 1542, 7945, 8305, 2752, 6584, 4169, 9190, 5899, 3086, 7877, 9164, 1287, 5016, 1750, 437, 1787, 1429, 1420, 2075, 3000, 3348, 4818, 6608, 4769, 5358, 3544, 6196, 1064, 5019, 9432, 1110, 9171, 6244, 4872, 2861, 2324, 4377, 9491, 8306, 4394, 7267, 1845, 8243, 6938, 4226, 2359, 8881, 1702, 9721, 7838, 5960, 9778, 9590, 5613, 8523, 8062, 9206, 3977, 8718, 6825, 3625, 7399, 5480, 5803, 763, 7941, 4721, 252, 7553, 8254, 1993, 3895, 6747, 7615, 8965, 2657, 7608, 930, 3174, 5835, 9638, 7756, 9776, 976, 2373, 8791, 8781, 8386, 6635, 6356, 6373, 4876, 5659, 7156, 1092, 109, 6155, 9983, 285, 8930, 6971, 125, 2225, 3290, 7793, 923, 150, 1973, 7022, 9586, 3811, 719, 2411, 4354, 3175, 6119, 741, 4896, 4861, 393, 5286, 1375, 5437, 4308, 6448, 3951, 2968, 1104, 9060, 4180, 1490, 9561, 8658, 3197, 6082, 2315, 6076, 9157, 8856, 2488, 9746, 4206, 6865, 9401, 6188, 9111, 9973, 9653, 2706, 3958, 2378, 7155, 260, 9037, 2918, 8491, 393, 8107, 4767, 5090, 8214, 1082, 894, 5579, 457, 1464, 1552, 5568, 6732, 7003, 5075, 482, 9829, 1350, 4768, 3028, 1171, 7996, 5826, 8876, 9053, 3168, 8400, 2056, 2477, 9011, 1540, 19, 14, 5453, 2815, 4677, 9865, 7732, 9566, 302, 5336, 3328, 1358, 4149, 9716, 3951, 7201, 4159, 9985, 6329, 2825, 9731, 3936, 8950, 524, 6386, 3385, 282, 3358, 4444, 5189, 2386, 8722, 5135, 5045, 7141, 1090, 7215, 6310, 4567, 4418, 6466, 5915, 193, 3929, 9539, 342, 4469, 3052, 6143, 6283, 505, 9588, 4842, 7092, 2004, 2152, 7113, 2640, 6931, 4863, 9392, 8803, 9973, 1468, 4850, 3503, 1658, 6624, 5108, 4022, 197, 8813, 554, 1478, 4805, 3075, 306, 2252, 8329, 5763, 3884, 8741, 8103, 5769, 2892, 9377, 4536, 9897, 6077, 7054, 8102, 2608, 4140, 1024, 7834, 1872, 5052, 1863, 1828, 5404, 6285, 9544, 9888, 3912, 6200, 9738, 2660, 901, 1819, 5303, 2996, 9001, 6512, 5677, 9543, 6710, 6412, 108, 883, 4513, 7924, 6217, 9756, 9326, 1468, 6029, 7301, 2249, 5735, 5326, 8580, 8977, 6915, 6958, 8916, 7886, 519, 8575, 9038, 6532, 7248, 2084, 6304, 3377, 1195, 8028, 5414, 7894, 6078, 5396, 1935, 5176, 6877, 5086, 6993, 2384, 1604, 8876, 8735, 6111, 520, 982, 2135, 1152, 8781, 5708, 340, 2932, 8997, 7344, 247, 7230, 6726, 1282, 944, 9779, 8296, 2891, 5099, 9886, 7444, 6524, 4252, 6554, 4921, 6166, 9553, 1152, 9222, 4524, 6269, 6464, 8865, 7901, 6576, 9052, 6389, 8946, 1593, 141, 5613, 7925, 9559, 9332, 8988, 8768, 7381, 3521, 9786, 339, 9916, 3333, 4264, 3718, 4753, 4055, 5044, 7316, 9595, 6589, 8475, 8728, 7716, 6854, 2539, 8709, 3524, 1977, 7492, 2620, 1459, 9093, 338, 762, 9741, 3949, 2358, 4190, 7149, 9571, 5277, 9835, 8973, 3676, 277, 6973, 2911, 6544, 837, 862, 7298, 5643, 381, 4033, 9329, 2996, 8166, 9608, 9058, 4693, 6674, 2448, 2650, 4745, 1501, 5370, 4655, 5971, 9290, 8580, 8563, 9010, 3892, 298, 574, 4432, 2284, 6415, 9843, 5561, 6200, 1164, 9929, 8966, 1970, 6663, 7675, 7986, 6792, 9175, 9495, 7993, 3750, 4801, 7616, 1269, 6816, 6299, 7660, 5958, 7223, 9542, 5790, 6152, 9240, 2071, 5006, 927, 7770, 9347, 4413, 7411, 5426, 8080, 7729, 2998, 75, 2917, 1780, 1763, 698, 10000, 8732, 4983, 5151, 9444, 2178, 8840, 6902, 1538, 6951, 450, 4752, 7337, 5671, 7525, 5031, 3191, 6999, 125, 7105, 872, 2519, 4698, 9439, 4570, 1271, 6723, 1525, 2480, 3910, 1331, 625, 600, 4434, 356, 7389, 870, 3889, 3350, 4182, 7067, 3409, 3081, 2210, 1603, 4144, 3760, 447, 8299, 6251, 9903, 6004, 10, 1586, 3682, 3794, 9485, 1475, 5308, 7112, 967, 2182, 8668, 8671, 810, 5701, 1731, 9667, 846, 7312, 3233, 2214, 6784, 861, 8418, 1684, 3359, 6608, 8465, 5989, 1699, 2183, 2605, 3324, 2733, 3690, 4805, 203, 4051, 1303, 9837, 4548, 7659, 8080, 9333, 853, 829, 9318, 5018, 2514, 2322, 2775, 5372, 2897, 2840, 2576, 9722, 6676, 5899, 6679, 5732, 219, 8009, 5205, 2908, 4376, 397, 5137, 7040, 9309, 3166, 908, 5192, 6125, 7310, 6928, 3898, 4442, 8332, 9566, 3915, 6232, 249, 9090, 3960, 6598, 3395, 2831, 6537, 2306, 1096, 2987, 4624, 5285, 8120, 7589, 3790, 7118, 4137, 3590, 5840, 7992, 9697, 3978, 7172, 9008, 6239, 2145, 7471, 3456, 4260, 7774, 153, 1066, 4669, 4557, 5417, 6358, 9328, 8437, 9411, 580, 4703, 2569, 7150, 4298, 3065, 1020, 6967, 3675, 7824, 477, 3183, 7893, 5729, 3296, 7217, 612, 4040, 7470, 4099, 604, 8404, 9413, 1134, 640, 4765, 536, 8798, 3067, 1802, 4394, 9446, 5233, 897, 4650, 5063, 3699, 251, 4331, 4976, 4400, 9903, 1086, 6596, 788, 6506, 4738, 6373, 9371, 3289, 929, 9111, 3092, 9186, 5638, 9107, 3174, 1823, 9341, 8930, 500, 6486, 1525, 557, 137, 4594, 8385, 4157, 3401, 754, 7404, 1599, 946, 1916, 1587, 5803, 208, 1079, 7575, 7290, 1434, 7826, 855, 7741, 304, 5227, 1018, 6616, 7747, 2689, 5008, 2422, 2496, 3470, 1565, 7100, 2811, 3668, 7890, 6808, 5787, 9289, 9815, 8587, 1645, 7115, 9435, 427, 4347, 4884, 9136, 9318, 6393, 8758, 3247, 3960, 982, 1383, 5755, 3727, 1, 3331, 3088, 5273, 4428, 627, 9132, 9563, 1078, 9478, 9902, 5764, 8683, 1085, 2758, 8396, 5663, 2154, 9123, 7296, 8583, 1959, 2127, 2004, 3921, 4319, 252, 5500, 2472, 4021, 8850, 4299, 6168, 2731, 1304, 8284, 6351, 2712, 6632, 2599, 466, 1003, 8559, 143, 3528, 386, 661, 5498, 3392, 2419, 4420, 5253, 3667, 6928, 2360, 4206, 7384, 771, 4143, 3589, 2240, 5873, 5017, 7792, 7683, 6881, 2330, 4580, 7802, 912, 8133, 7915, 8036, 3316, 323, 5553, 1529, 9855, 3980, 3597, 2469, 4639, 8585, 3713, 3770, 8918, 7185, 1646, 7889, 3324, 7526, 4476, 5879, 6928, 1243, 1478, 111, 5164, 1157, 9757, 6978, 8091, 454, 3352, 4773, 4590, 5616, 8882, 5794, 5337, 9573, 6223, 8857, 4682, 5390, 1701, 1684, 8675, 1831, 371, 7233, 9294, 6008, 6798, 6359, 6540, 5582, 2497, 8265, 5191, 6903, 8513, 5822, 3598, 2119, 5222, 6948, 9055, 394, 2766, 488, 3824, 3803, 2690, 6420, 4900, 7112, 61, 5532, 2799, 793, 9910, 5242, 5379, 120, 4262, 8476, 8583, 3391, 1481, 6846, 2132, 7145, 410, 5865, 3867, 5256, 5980, 2779, 5859, 9212, 8305, 6303, 1584, 6215, 1921, 3334, 1410, 3571, 3973, 2625, 9722, 8825, 6395, 6707, 2228, 129, 3661, 7828, 6358, 4241, 138, 7928, 6052, 5748, 3227, 8258, 9879, 129, 50, 2904, 9322, 2180, 8871, 6130, 7418, 302, 1013, 4598, 7300, 5583, 9619, 7828, 8601, 4270, 7749, 2870, 6989, 470, 1638, 4364, 1138, 4054, 6437, 5272, 1478, 1918, 8037, 9626, 7930, 3911, 5175, 4375, 956, 3377, 4799, 6499, 6618, 9463, 2053, 5148, 9576, 586, 5658, 866, 8961, 9101, 3081, 9750, 1696, 7282, 458, 1257, 1662, 8897, 6026, 6612, 3754, 4875, 8067, 8615, 9788, 1268, 340, 7023, 464, 1294, 6797, 4727, 234, 5419, 9082, 5148, 4703, 8746, 202, 7567, 7254, 2636, 2688, 3356, 6189, 9681, 6326, 1556, 6099, 5250, 2288, 8370, 6661, 5858, 2637, 6267, 8909, 9215, 8779, 7811, 4877, 1707, 2448, 1807, 5253, 3154, 112, 7732, 5260, 682, 5468, 2701, 2057, 3990, 2736, 8600, 2051, 4385, 7381, 322, 458, 7543, 2874, 9258, 9714, 3521, 5630, 2772, 8391, 9408, 1442, 8118, 9687, 7660, 9034, 341, 5762, 2999, 2304, 9307, 6002, 2522, 7315, 7180, 9665, 1884, 958, 6800, 7069, 1319, 9129, 5381, 9697, 6921, 2582, 1676, 7914, 8195, 566, 521, 2116, 6170, 7809, 490, 6706, 1188, 7364, 3247, 6804, 1916, 1953, 8733, 4514, 1881, 9707, 9646, 4352, 1155, 3517, 8850, 185, 4711, 7695, 4149, 5301, 5534, 8126, 6360, 8742, 5470, 1825, 9918, 9474, 6000, 8089, 1355, 703, 5103, 1990, 8645, 2550, 189, 3176, 2399, 9063, 3169, 5427, 2384, 6262, 8250, 5836, 9967, 7995, 1649, 4535, 7935, 1177, 5286, 7953, 9724, 9825, 3551, 4508, 4809, 7929, 6303, 5140, 5799, 629, 5555, 4695, 2755, 8995, 7564, 3552, 15, 4328, 9622, 4632, 5724, 7013, 2531, 1923, 8124, 6599, 8368, 6911, 4337, 4139, 8649, 7713, 5759, 5388, 1180, 3176, 8501, 8967, 9976, 7837, 9493, 4086, 3320, 6476, 4387, 3405, 7894, 4042, 1554, 4113, 65, 9729, 8176, 8375, 1995, 7424, 3501, 6725, 8342, 6895, 4961, 927, 8701, 191, 5831, 6931, 7083, 7096, 2145, 3570, 5577, 871, 1528, 244, 6471, 176, 8435, 7059, 4403, 8856, 2764, 579, 1388, 914, 8917, 1393, 9529, 9926, 8043, 7298, 9687, 5436, 4667, 8135, 4862, 8875, 6046, 8435, 571, 2963, 565, 3812, 6529, 1703, 5003, 534, 7944, 9259, 496, 4969, 5249, 5595, 5359, 2977, 3516, 207, 5627, 4143, 5392, 8882, 1777, 8348, 6142, 1523, 1120, 5819, 69, 3032, 2422, 3979, 1842, 9344, 778, 4268, 7845, 4280, 2946, 8941, 6754, 6557, 8961, 922, 8467, 2235, 1304, 5556, 4379, 6895, 8320, 5217, 990, 6016, 7337, 5286, 4935, 5542, 7254, 6464, 7681, 6999, 2537, 1451, 4282, 3035, 5273, 3967, 8408, 5139, 8346, 8043, 2983, 7484, 8533, 4805, 7525, 8488, 9417, 1167, 3798, 4939, 7410, 1541, 2966, 7258, 129, 5014, 7043, 7840, 8139, 6036, 6365, 8424, 829, 4841, 4714, 5319, 788, 8301, 1113, 103, 6596, 4419, 4052, 8545, 6839, 7020, 6766, 9980, 5979, 830, 8428, 1619, 7968, 3483, 3103, 9190, 4978, 9351, 579, 1652, 6434, 7781, 1177, 7105, 3978, 9763, 670, 6458, 3381, 8100, 2996, 2577, 9350, 4396, 3027, 1392, 5534, 3420, 9200, 4341, 9051, 4456, 3648, 9639, 6415, 7202, 494, 5079, 1198, 5491, 9625, 6680, 1052, 1665, 5750, 4694, 388, 6822, 5751, 1757, 9133, 3684, 4055, 2295, 5464, 1654, 2219, 2433, 3800, 3259, 7862, 5401, 2201, 9681, 2742, 4274, 3933, 352, 5944, 6303, 4062, 6558, 6860, 4525, 9947, 937, 1635, 768, 8909, 446, 4457, 8170, 7048, 5402, 990, 2303, 6793, 1832, 3814, 8663, 5681, 7377, 9541, 7831, 2247, 9580, 6190, 9703, 3107, 5020, 6437, 6421, 4330, 6449, 1272, 9807, 8809, 6494, 2395, 825, 4164, 3680, 1488, 1275, 3286, 6288, 4435, 2347, 8339, 9795, 3288, 7776, 4535, 5434, 2242, 4022, 6199, 8953, 5618, 6640, 3376, 7643, 3696, 1829, 198, 9387, 3508, 6657, 8477, 5807, 6870, 3692, 1436, 8683, 3584, 9458, 8559, 5876, 5250, 2700, 6841, 6676, 3022, 1650, 9241, 880, 1835, 1147, 7019, 9467, 9186, 3857, 3693, 5005, 8845, 4840, 4095, 2781, 4294, 2420, 8609, 9249, 1770, 7628, 2156, 7620, 399, 7706, 5142, 1997, 4931, 5170, 1686, 2166, 7092, 6707, 3381, 4836, 197, 736, 9779, 2337, 9762, 3246, 2383, 4502, 1762, 6046, 4712, 5863, 9649, 6446, 9436, 3484, 5052, 1770, 3855, 3351, 3324, 9434, 8037, 3149, 6489, 8412, 3283, 7276, 4497, 2984, 579, 2266, 285, 1041, 1767, 8507, 1304, 1140, 5624, 1034, 2632, 137, 2808, 2223, 7278, 8231, 4516, 8899, 5347, 8502, 7940, 62, 1751, 2745, 4204, 9208, 9451, 2602, 2645, 3479, 2828, 6855, 6549, 8956, 5040, 3966, 4320, 4280, 1789, 2496, 5032, 1961, 4373, 2740, 3735, 3737, 5246, 1990, 3055, 6526, 751, 5607, 4828, 1174, 3659, 7803, 3441, 8630, 4815, 4143, 8314, 9910, 7735, 3860, 8387, 9284, 6411, 9329, 8245, 2369, 337, 201, 9963, 1035, 6652, 7391, 2407, 5219, 8955, 4128, 4582, 1884, 6168, 1039, 1607, 8190, 7034, 157, 2478, 8209, 9833, 2564, 2350, 6623, 8298, 7611, 3268, 1133, 4626, 3695, 7513, 8088, 7253, 8831, 7840, 2531, 8919, 7648, 4743, 6222, 7618, 244, 3170, 415, 4288, 1589, 4612, 3091, 6536, 7837, 5485, 1263, 3652, 6098, 1633, 9762, 9080, 5131, 9370, 2568, 3010, 9957, 6586, 6432, 6599, 6640, 588, 4034, 2843, 9051, 8990, 5005, 1919, 2414, 8429, 6282, 3406, 7982, 2353, 3113, 2439, 9382, 6599, 1437, 772, 1786, 4115, 5820, 1557, 6816, 1818, 109, 349, 8609, 6571, 3438, 5873, 5681, 5019, 4990, 6488, 456, 7038, 9514, 3862, 5254, 1892, 4896, 9928, 7569, 5624, 2657, 2387, 3389, 2034, 2929, 5136, 9569, 3090, 8396, 5507, 627, 8907, 6984, 2050, 9364, 6902, 4374, 7223, 535, 4810, 2075, 7979, 6943, 4144, 6648, 4776, 2763, 1486, 3139, 4336, 7303, 3611, 9852, 8055, 929, 9651, 8500, 1995, 4107, 5020, 5622, 2588, 7835, 1635, 7503, 6212, 9025, 8034, 8055, 8223, 1098, 6249, 7734, 1384, 1132, 2072, 6766, 7017, 5351, 7809, 6386, 8441, 2807, 758, 1456, 6100, 9417, 322, 2171, 2654, 4131, 4332, 3843, 172, 4271, 4013, 3909, 9953, 3129, 6288, 7751, 5970, 7508, 9357, 5412, 6220, 6113, 4587, 2236, 6270, 3846, 8480, 7592, 8319, 9776, 8546, 7861, 9790, 571, 327, 8572, 1028, 9217, 2119, 4933, 1991, 1980, 9802, 8485, 1673, 4833, 1320, 2180, 2781, 7392, 100, 4912, 2428, 2737, 5983, 906, 5087, 5147, 4529, 5800, 3426, 6369, 4157, 3513, 8904, 7040, 2687, 7817, 2672, 7959, 9784, 8776, 9746, 1630, 24, 4481, 8562, 4745, 525, 1109, 7836, 2619, 6287, 7914, 4193, 6548, 2223, 1612, 1183, 7118, 8595, 1988, 8204, 2577, 4726, 5712, 4530, 5917, 655, 2427, 4476, 5460, 4665, 3857, 2002, 372, 1739, 3925, 7494, 176, 3234, 7109, 5158, 5649, 2918, 7284, 3372, 612, 9741, 2367, 6174, 6520, 7307, 1821, 207, 6380, 8813, 4521, 6650, 2995, 2398, 879, 5537, 2414, 5397, 1925, 5960, 6391, 1266, 4690, 2038, 413, 2211, 7855, 4060, 3610, 552, 1327, 745, 4142, 9294, 5453, 9609, 4687, 842, 8310, 4599, 9887, 9463, 9486, 2336, 3847, 5232, 7161, 8686, 8878, 4278, 9348, 5786, 7057, 6710, 7471, 2509, 7711, 3855, 9349, 9522, 8437, 9483, 4068, 6706, 9617, 4491, 7980, 7116, 2867, 9850, 3250, 5263, 2864, 6716, 1987, 6095, 6550, 7356, 7423, 6080, 216, 9092, 1505, 8720, 8107, 4915, 5002, 9762, 5880, 4282, 8384, 7616, 8293, 3797, 8371, 154, 6200, 797, 3624, 4590, 809, 9953, 8272, 7207, 2293, 8174, 6864, 9202, 2218, 7927, 8106, 1312, 1212, 8267, 6505, 8845, 8232, 8025, 1357, 6916, 8704, 4185, 8231, 1033, 5574, 5455, 5413, 4478, 5345, 3764, 9926, 1897, 7538, 9552, 8462, 778, 9155, 4176, 4591, 9396, 642, 8745, 5196, 6274, 2441, 1335, 3947, 7922, 3841, 7357, 4595, 2518, 9767, 3546, 4930, 3271, 2107, 4021, 8704, 8177, 9012, 6659, 4368, 8220, 258, 1094, 559, 9629, 1970, 3747, 7346, 5391, 4376, 2910, 1560, 3889, 3682, 9436, 1413, 144, 8093, 1885, 3344, 6323, 6062, 5994, 4471, 6804, 9313, 8055, 8246, 8062, 8558, 7795, 6568, 9820, 5332, 8323, 8337, 8582, 2053, 8854, 3039, 3273, 4614, 4007, 1114, 1259, 403, 8952, 5017, 6732, 5382, 2652, 9343, 2909, 1052, 6363, 9798, 9578, 193, 6638, 1988, 553, 5423, 9862, 7495, 5720, 6680, 6332, 3321, 8321, 4070, 8532, 8210, 3194, 8061, 1482, 4473, 8872, 3380, 105, 6863, 2670, 3191, 4569, 2287, 5968, 2848, 7951, 6454, 7639, 6486, 381, 1060, 4671, 664, 435, 913, 7175, 3050, 4593, 2903, 1315, 1512, 4585, 228, 1273, 6161, 5015, 5759, 2058, 6749])) + +test8 :: Test +test8 = TestCase (assertEqual "for (minimumArrayLength [880134581, 772576344, 399895356, 285967908, 867328643, 442745784, 424034268, 345772360, 916019994, 542598802, 933956188, 790793630, 683928860, 739568265, 956222957, 333512601, 626919162, 553949110, 627736799, 918401986, 613953728, 387419984, 458262981, 817382805, 248018453, 688854223, 838755468, 470061499, 869401840, 303790130, 838894964, 165822129, 594444959, 243189521, 669050758, 737400510, 231655911, 30326960, 235299222, 649728743, 671186820, 286886018, 436529751, 185275958, 547596220, 600755891, 209994949, 961919305, 375781259, 759825101, 626503060, 25211291, 934281965, 321043477, 542621448, 689843640, 219739535, 411035537, 449771194, 226860314, 896492991, 996264811, 215102042, 756270916, 178304891, 261744798, 558714022, 706782684, 956959014, 490566913, 542120187, 719256649, 416303989, 61347588, 153604934, 762771462, 603882321, 427415285, 765590810, 150127576, 154080204, 615974251, 14547133, 593013610, 676690296, 667964848, 886562719, 918748935, 986729577, 62084349, 924807360, 626914636, 218372326, 166342871, 420648285, 955220235, 891435030, 565138979, 521600366, 338037871, 754271599, 107000763, 888415279, 351965887, 701171583, 473187119, 448322308, 683063263, 621336856, 441295215, 451921142, 675330910, 627256387, 818825062, 44897016, 582385043, 393380812, 340108689, 233337944, 392598383, 130523171, 482971695, 852799954, 106048655, 369166645, 522158820, 499886164, 611754363, 216567126, 415808131, 14652524, 258245719, 924670087, 192796564, 317461463, 753866154, 890410282, 980006795, 352341946, 490438905, 169688110, 37675331, 394193105, 631912887, 669203877, 65544428, 970631344, 706011143, 8176764, 501677981, 339117111, 176773217, 791368146, 587962126, 627740643, 733236899, 611860782, 562305253, 766521040, 312178013, 47761851, 98432974, 588162107, 444674798, 571338681, 114611482, 583158315, 926899872, 897431605, 836739450, 768186063, 310965058, 139757743, 778356561, 367377726, 710071529, 865143542, 116307916, 867012046, 356666333, 921026908, 54450768, 134760156, 285246220, 388482510, 630448736, 528156768, 176528757, 931414016, 307551907, 99316255, 266686125, 313456830, 793419672, 266440651, 533941226, 886515287, 72275303, 306917683, 124564538, 377120763, 430900101, 485708981, 979664933, 657691604, 90500814, 207190418, 967831406, 179496476, 431639293, 461749564, 612003348, 491543465, 143042116, 966639695, 794974882, 867504308, 535412914, 997445736, 485066855, 255377770, 400095408, 774358859, 603140676, 468099733, 255363971, 473944888, 197176342, 973530146, 172853722, 199954001, 978998390, 830249155, 171041494, 120249799, 579789336, 107296359, 438775113, 865549448, 562505285, 231622051, 714284255, 416414838, 269725703, 813564951, 944196270, 35646766, 968437086, 546502886, 546422956, 875177829, 326017648, 683369044, 63654388, 914744887, 494446264, 832996181, 566016927, 233133088, 444528299, 204444062, 250989857, 118983280, 119662544, 320619678, 613517678, 646513731, 519700369, 622410353, 711144761, 266942622, 520873743, 104955789, 129013154, 554852411, 725295921, 899119983, 32574354, 205539784, 900472700, 608023236, 102802351, 811913593, 867657831, 425237762, 489011961, 34960631, 778647993, 48441060, 113001319, 880043047, 404956576, 873335266, 931093557, 354633711, 908299247, 424017231, 702019415, 682808317, 448773159, 272677484, 998023769, 275324422, 181769605, 135097231, 374001181, 550506573, 281125676, 574620620, 289257907, 733000269, 726248148, 900258599, 216092838, 240121451, 708935526, 506559984, 963363142, 253694543, 777066885, 419847752, 2652071, 627294638, 171007737, 907616306, 519545295, 661559856, 565333487, 898602413, 13958534, 711190046, 173167041, 758537373, 237579306, 670774187, 819935884, 433063890, 915907577, 920122143, 261554375, 289850613, 806720049, 90279520, 669013334, 722036381, 729756124, 575351689, 192568727, 859312670, 128539214, 762993428, 241916328, 486223592, 481582130, 615943868, 351001380, 594050060, 94773984, 693430750, 533892524, 449685957, 334808432, 987874779, 888479582, 370668495, 811783463, 93478705, 69267479, 872783381, 190302820, 667739790, 145636316, 63906558, 548643453, 985463619, 387166978, 330385720, 125101087, 213821867, 651438543, 834569065, 730846149, 932085945, 929269685, 661825104, 861763088, 296522335, 150480786, 559100677, 710561705, 773008032, 669361091, 40518632, 676061939, 843546521, 565118836, 825528783, 398193933, 984187516, 589127548, 813097488, 95508608, 153585091, 548697798, 132398524, 269756492, 932618409, 736498963, 626086192, 780365242, 486370081, 871224782, 677702319, 732835810, 715527718, 496235293, 156585614, 612477670, 811854968, 608070165, 127260843, 993953090, 884552894, 13981110, 658916984, 395298925, 418582978, 749389445, 208198562, 484086863, 842428799, 475951277, 104882693, 385918757, 73796067, 166532765, 132510202, 537121325, 673264417, 165438708, 913594804, 326855874, 784445863, 896610721, 667820898, 882894177, 909420690, 49880421, 16788138, 566527517, 404188221, 407323260, 732317301, 743768712, 614759288, 816320839, 315273597, 835026277, 293575911, 206271346, 90936162, 668736539, 302389864, 459844314, 162515010, 862326889, 177225784, 528516817, 823703198, 229755259, 957042756, 517440603, 45020469, 309685972, 571201613, 888817946, 339605797, 268092512, 350297303, 286439307, 892585975, 563766413, 513505346, 872215479, 854012212, 218379954, 157282502, 470437082, 761379652, 276970771, 493873962, 58666708, 781357424, 151773969, 153870990, 348396378, 697076565, 343494124, 39075594, 37153310, 747327376, 122061654, 230235985, 221466327, 883883323, 732694798, 817210114, 325957917, 18766305, 517066355, 959470517, 421080533, 435913042, 705598828, 5348100, 285893444, 78046703, 488054923, 572627920, 432743852, 948900250, 736573135, 738344964, 988861227, 398334267, 277995509, 498754434, 510417446, 475048505, 481959671, 151876203, 700786392, 417931322, 508328046, 218383798, 81050850, 4313417, 473279813, 673133917, 651855879, 381360874, 160050498, 170551997, 476899325, 738621887, 351042132, 543581701, 861974785, 355566841, 826549942, 237117440, 543117197, 483543531, 745213607, 452335783, 621175847, 111318154, 935765313, 909331452, 951966961, 512011656, 833880599, 597741088, 872274903, 560446748, 744208922, 218081788, 142263085, 573883519, 508791472, 362161935, 279607720, 384278637, 965625191, 297709186, 462405913, 592725170, 413244218, 582331867, 664571626, 985169835, 916123874, 524935945, 484435373, 137106007, 649542576, 326401842, 244266171, 489351182, 297897611, 889704034, 155945450, 174442632, 26784993, 744683236, 986668727, 90041339, 495527940, 689047218, 762033464, 155512913, 60674792, 742149376, 596709359, 163780172, 646548398, 366898016, 320965012, 995240516, 723505963, 210166510, 798029805, 478153548, 56881214, 888721357, 542004888, 775626756, 809451122, 272418222, 173639111, 286098594, 611114581, 641980247, 701500272, 611823172, 939271211, 71699397, 910264860, 262532802, 64658012, 177893373, 662385997, 132751936, 98329502, 579500005, 740419958, 794639957, 142057103, 665985676, 914527982, 861261245, 428488057, 56775855, 910959663, 68015485, 360503160, 874976061, 190543094, 987695376, 558939973, 414401767, 247235645, 304530811, 493345265, 606075312, 479464367, 997036831, 737833138, 77451196, 869699626, 324606997, 813256583, 744407651, 955824666, 754177258, 740449609, 534833485, 379245616, 573202702, 380701824, 827132959, 377627300, 189601742, 558175455, 401128069, 463201588, 560587369, 731579902, 767139271, 579312239, 81695574, 801099849, 538042779, 407492156, 636329167, 25890949, 292048859, 151982005, 634079655, 754850072, 260757988, 468748736, 561942506, 697499773, 786723516, 371086704, 876426870, 717046791, 175042717, 882575342, 645212179, 546168724, 470672062, 166754854, 274065461, 569537741, 934786224, 865097934, 847170782, 800668609, 242817177, 489067315, 466647660, 664841831, 616484459, 423313670, 217250759, 767812248, 797333026, 749631803, 570555538, 379426258, 392460932, 954688478, 999734125, 495397031, 759678331, 649160808, 563505130, 898832468, 15339902, 283184511, 544660738, 85248101, 222703515, 160211141, 878631619, 648286438, 352828235, 838019019, 512509076, 600878809, 938338531, 41425638, 211520661, 599034085, 718208994, 828142874, 458943629, 759078031, 260160591, 134766086, 527382561, 781315434, 467586385, 435971510, 805718715, 283227731, 73074346, 472269190, 596254440, 694634299, 438716978, 777087297, 483236731, 156053414, 766189998, 532906092, 185416814, 84218400, 575273728, 529965932, 809119906, 85322015, 526122603, 401655498, 780076639, 442660256, 630077768, 36342618, 542794984, 199822166, 936772901, 77180605, 818811635, 201206097, 645087205, 979075212, 529223113, 42853898, 257526141, 853670132, 1720867, 236863356, 694651676, 512028949, 187912206, 385718107, 900644686, 50834120, 690257769, 601236484, 732283314, 110237559, 77011139, 289987174, 17427166, 324629539, 192776784, 544978481, 306967470, 920161449, 908974656, 916583129, 2248877, 805749663, 237375731, 669110904, 8963267, 342045943, 111357842, 470333536, 917153092, 659765236, 532679838, 398986864, 685861428, 96358107, 180004551, 590781972, 955957460, 771681539, 543948536, 392746777, 401956067, 710398302, 106514925, 347856221, 599578170, 116437387, 154764380, 715615838, 579277010, 845671657, 494033278, 780901733, 139390024, 277952692, 179821844, 998953360, 563279363, 688607075, 789711207, 671569314, 819485210, 981261276, 461562095, 427689991, 602816934, 692361233, 93224972, 143566458, 587418818, 892790495, 467671907, 241249859, 673915634, 453065593, 958982220, 581218739, 909532277, 826566853, 32422828, 479989188, 616245339, 367747558, 865774050, 80895272, 854099804, 940735465, 713823710, 357997900, 908651039, 431558662, 511202840, 912915540, 348524445, 211561092, 662037418, 416614013, 583743789, 759661735, 191792744, 835703055, 94302797, 565989672, 407178331, 93793489, 797953111, 669445167, 517768701, 984130624, 922044946, 809419816, 240115778, 278337927, 532041230, 661214810, 535945003, 898362132, 302496266, 921440348, 927427908, 594629097, 215105436, 496506064, 538979114, 475379294, 502812442, 235637363, 432616979, 603336447, 76950014, 686533318, 70537644, 734543399, 424946745, 175372282, 844018573, 761543055, 35205055, 628687645, 950267177, 549983511, 198485422, 187359376, 176747298, 859964012, 376627453, 657128300, 183569546, 886172616, 256221030, 300621767, 31234219, 751394526, 593680602, 553840813, 22071677, 97957834, 261117661, 184885080, 831609621, 263373030, 325013264, 743131724, 363682873, 328548105, 537817330, 125466955, 975776780, 24702259, 65316095, 216264569, 158011448, 882818224, 349215164, 420639521, 452781685, 191103336, 622343398, 878372588, 907975301, 758066951, 975328122, 62985578, 61909456, 386874032, 713724838, 890473535, 185195713, 11065797, 314089135, 795360450, 706327741, 527825810, 920672612, 174968481, 981349202, 534311286, 37732071, 631176666, 841586215, 927795421, 120036032, 320628049, 782545674, 749094841, 740887370, 270207196, 67485636, 902423647, 51879070, 66981155, 523366167, 419607420, 672979049, 791043663, 530046309, 416682213, 812732392, 59711099, 120523508, 545936022, 611587157, 535590655, 285963266, 8145664, 599957583, 428105620, 174340714, 310558245, 70447271, 940842957, 570508289, 925456263, 98443414, 643220660, 277755316, 850283835, 540825140, 788939941, 998154476, 325098342, 380250563, 850094965, 859131515, 998188075, 418435195, 834469150, 387752591, 365563465, 451960681, 134334846, 891956447, 353489891, 337029105, 267027321, 89371550, 169408345, 778259043, 779660290, 42067294, 903738791, 977290722, 327805349, 153628554, 67370584, 223050152, 216192237, 422626883, 723733818, 701794979, 766535550, 736867524, 850994919, 858194214, 837536082, 112330226, 940167120, 945766578, 166409496, 812378888, 555885426, 929659699, 421668388, 601088615, 621827512, 14859556, 366179882, 280106429, 869154158, 183493139, 692369111, 171396178, 897359245, 941617762, 363206494, 78936329, 862799901, 892769282, 61190226, 795640030, 425614094, 904416199, 299516809, 116911811, 275966376, 459508017, 900447237, 941954168, 996501730, 588394149, 436021075, 645997381, 756179844, 503848726, 566747041, 209474506, 979152914, 68140211, 470617450, 617381764, 176938785, 847368396, 141207456, 305173944, 737893686, 222174823, 161525396, 504857329, 401814031, 212645175, 528881497, 651687005, 108938678, 555698488, 596216009, 58281356, 875618559, 293658280, 184101557, 259458365, 991563909, 589089716, 666700585, 599546523, 856012064, 444852982, 54340573, 218873795, 263926502, 892015658, 133745280, 699845646, 96771102, 523544304, 570136135, 51721450, 172387488, 479090931, 786819469, 171460363, 591513922, 862728817, 752485090, 526487159, 696592596, 24678964, 962421987, 769000589, 48852146, 661017008, 302618527, 680947335, 740857756, 563600952, 183924161, 452180034, 693831759, 101967127, 31054786, 91737730, 651514973, 64883071, 609927629, 357201698, 939343995, 509341846, 651440103, 57979123, 945232207, 686351205, 711889560, 875313201, 677832830, 898234859, 510122457, 265197318, 773297210, 648845235, 709706177, 657632913, 148241707, 571881428, 839670173, 988238577, 646014857, 615165986, 541727120, 73485003, 443930949, 449762269, 979604289, 383926461, 227276678, 162037204, 495227167, 433029221, 424448698, 964862201, 829425930, 102024962, 562401930, 329558494, 7311074, 419358016, 494307195, 797314957, 424710001, 602063242, 173556290, 125967227, 188150945, 756824129, 713111706, 814169505, 197166219, 712966411, 879461144, 406442641, 510256168, 347928793, 368754833, 890191749, 682372365, 138240790, 747721640, 219309338, 524181514, 370760113, 436301661, 860516073, 691836876, 692611666, 394307541, 291055171, 742487977, 670666604, 752328679, 367522778, 426769960, 567519212, 873066011, 219728513, 121789517, 81472970, 709711604, 525944912, 876902987, 42521265, 114998371, 270989922, 50771903, 779680368, 57052960, 903587836, 943165240, 152928669, 321759514, 325023225, 343090394, 879846901, 153627120, 112113062, 281766978, 214000481, 221281563, 393210444, 333557984, 769202502, 44183180, 123977758, 607898661, 163389256, 625546306, 665003068, 695035568, 270652424, 945461310, 864562928, 461380245, 481649749, 852837953, 476267006, 206786506, 209312089, 185441970, 373448724, 929552897, 200210500, 103459553, 144584992, 491412477, 184851199, 479789037, 91741401, 488779870, 964247927, 552844256, 468009547, 239812109, 609852086, 818950291, 102327732, 863709170, 813045574, 678415650, 986123934, 710239254, 210831962, 505162691, 420461693, 545438476, 7797730, 568810553, 931345382, 906217549, 430456515, 173628963, 292494095, 107219426, 549508067, 963564693, 849151182, 534795215, 480840604, 646518941, 604736001, 959477896, 467692514, 421180748, 421787878, 721141457, 581020237, 740191213, 288716393, 85717855, 619401017, 811949627, 656967405, 592961859, 9411446, 29759375, 559454848, 551489736, 502164197, 770093946, 669643578, 344958550, 541577042, 779195339, 684602386, 913457927, 200132908, 450227575, 733159299, 828704931, 393186364, 799931151, 989534405, 218836627, 160081407, 47949021, 985620554, 439767022, 600714, 495495185, 60199641, 268790512, 196435175, 113966723, 302799307, 60534034, 606501938, 457288995, 167775528, 964982527, 689021281, 226628045, 780137520, 264998706, 437816417, 728808339, 867920937, 880621703, 601897238, 609684610, 763433141, 587260378, 60814402, 827278057, 237049497, 690916996, 482725843, 654099597, 18528212, 430960501, 473937225, 482783971, 208103646, 770778613, 512019572, 880733956, 490928234, 618524844, 803238729, 665597934, 616789008, 600587092, 643721641, 158496757, 134282568, 319200580, 28258385, 743498717, 396052512, 103573165, 36531067, 223986369, 254329795, 947187062, 940789394, 164377888, 776672798, 464676212, 301994891, 75651122, 903905978, 986104978, 106547723, 268020873, 219739741, 487257993, 735791232, 989211030, 378452656, 134419170, 455535464, 705992556, 780465696, 441150358, 447708575, 728959143, 515254405, 841302849, 699058320, 334771242, 635985965, 800545078, 316446845, 526451793, 655597577, 962426078, 993821776, 416489243, 516026856, 868204626, 217210986, 859142864, 936553674, 515610154, 886003773, 698797796, 992996010, 743396685, 380582672, 528882456, 976415193, 557079670, 586004974, 16205129, 149273514, 205225407, 984103384, 482325608, 46915971, 112526002, 698204581, 985735014, 769870509, 23587066, 331246758, 816497241, 417735063, 755506684, 384056946, 287854193, 651352498, 316285895, 734301170, 438300577, 813685254, 466187095, 744997108, 132352140, 336389235, 604950873, 517850562, 449840557, 923138843, 247753537, 304262871, 936434074, 150583455, 172885342, 73138219, 514111262, 154051255, 447694590, 189667118, 836505073, 493201418, 741756469, 203092472, 31690956, 981778826, 73767046, 568051413, 429089611, 977403653, 952200436, 14455362, 573251540, 191730834, 276579102, 70853738, 171808054, 208442406, 851465524, 532989525, 653667313, 752657273, 58946045, 272740085, 886739804, 112852903, 499398597, 864446296, 730620154, 81106425, 299526731, 900727649, 100505327, 299352481, 991008226, 723257126, 563137055, 878157515, 158782475, 588053481, 502838215, 408446454, 781625212, 21127776, 896622836, 918759002, 935425080, 61888471, 612182673, 177366247, 690155543, 115011574, 748249537, 655721797, 659690898, 228417059, 537151795, 842722133, 993917243, 730423320, 449628813, 6364244, 100039232, 117368215, 259066785, 645933208, 609097517, 405748786, 551432159, 600907654, 468230450, 950926704, 387420380, 688027441, 64837348, 983246898, 721375778, 330290051, 358806879, 934728758, 469044479, 493285999, 197978023, 615097485, 651161792, 504194903, 69153659, 648684407, 349740669, 131591369, 278256733, 453913684, 662163947, 617552739, 261153686, 723600336, 396672550, 995128794, 254881104, 437279852, 48798391, 213660407, 617865204, 147315456, 585408779, 56923662, 728651466, 584396128, 919784043, 680357374, 305368272, 11529393, 167379580, 116812010, 814682781, 329090073, 941329056, 66669214, 420872178, 811550443, 837222041, 567492099, 783575592, 710768922, 137575014, 710342549, 82981288, 987943564, 258456475, 468771019, 255983643, 362200413, 47502277, 289159318, 399635479, 442212665, 111649090, 872160154, 367896929, 913241122, 104593010, 742256538, 99382518, 721327260, 730778209, 11111220, 693491268, 77197842, 986255623, 817697531, 82676340, 170633033, 724107908, 139906038, 578055297, 379030386, 365378502, 681448528, 238487398, 970659682, 178645656, 219647130, 640016793, 193327590, 842854339, 469888791, 602792684, 896367446, 895790618, 736489903, 993802620, 431518449, 771225963, 424566083, 665618103, 393455369, 297188008, 902745447, 795308555, 122243562, 302527475, 401265707, 124186401, 655007361, 452165170, 996297717, 249240501, 327468149, 704503438, 885391687, 68148599, 786724826, 545753051, 853072026, 426870106, 89241862, 520261417, 83933253, 259308983, 164457204, 763768506, 441763015, 264510823, 838686598, 67631513, 916142290, 483325405, 579048898, 498085083, 476232898, 150605306, 867076467, 972788442, 85301124, 120540672, 617160931, 149817747, 632261526, 848427828, 688408611, 978732678, 849819215, 768518709, 611630648, 638240344, 135657907, 92299879, 332481787, 511810191, 28021996, 141540783, 65787126, 586562957, 269445371, 59233012, 599170217, 39434403, 623399301, 173620216, 917426988, 611925862, 269604200, 135145280, 478531362, 373128932, 364449381, 727537493, 578711396, 378809101, 78883507, 735615072, 751887574, 225407373, 92672921, 153629933, 181387715, 379259787, 758209495, 178626801, 251235767, 533765874, 855945630, 403543512, 561320502, 905203378, 851629389, 951733071, 404594014, 751693488, 139595787, 922915032, 789803680, 151577066, 719385155, 535058971, 375930054, 414477870, 687269879, 456160510, 580337833, 24528308, 90762728, 246767754, 621541402, 794846439, 141426772, 447790020, 164921437, 731591452, 578469376, 395298172, 569038719, 864626212, 339785938, 69146035, 771499393, 70689027, 59291569, 741811434, 961303996, 508605250, 548333580, 755747157, 633038155, 148848049, 668313240, 104373766, 350354552, 162936130, 296087603, 760609343, 862695741, 951721561, 995208806, 300108028, 392859482, 984989099, 750297115, 297797683, 631804731, 981318307, 574610714, 549598639, 140394307, 503830565, 259101642, 705520360, 820390021, 859915830, 846788934, 229133577, 767976744, 331844732, 69798730, 641436386, 247177850, 596697633, 697053935, 580017933, 214227730, 953002617, 618032872, 812231634, 402774115, 177987237, 636706626, 666118197, 24460186, 792776090, 563113284, 190520849, 622985094, 728732889, 583369663, 329377401, 871472336, 641861133, 293626715, 373799186, 35695867, 479155415, 254490628, 300750322, 692446168, 694321056, 846338356, 212582822, 157416787, 919545078, 842930596, 120076839, 313133540, 904954772, 609252495, 770173639, 859608129, 969925755, 16360958, 955212592, 44157707, 190278628, 426555992, 460422723, 452244153, 419159704, 387954827, 706823702, 78285174, 438956589, 63328254, 463394999, 296821640, 769584373, 498213425, 68803662, 986819385, 80218182, 167618716, 865524752, 72735552, 316623758, 974033857, 105271371, 758583434, 9717387, 70773112, 993343705, 347679241, 481037028, 185612719, 872345821, 431825976, 812570634, 395056075, 802189373, 290366213, 875480868, 633330130, 369201188, 405095154, 572545798, 833505626, 947939598, 359122225, 433202667, 80286651, 658519099, 952492304, 714907217, 32973500, 568352327, 279790242, 19065587, 962868116, 217880562, 837383273, 621240372, 759916378, 442049269, 253180365, 90834231, 307579845, 88943641, 747922868, 438782671, 258850955, 194207089, 281747763, 774629962, 433039410, 611661669, 481490435, 333595310, 900179970, 655185148, 135789128, 980194675, 960851715, 239709283, 246534646, 960461130, 421521249, 796831313, 111278653, 674136070, 749467478, 698566870, 695240956, 157281280, 619420093, 543026019, 578052070, 577949874, 534745180, 238719521, 704613616, 100786738, 422622127, 227634021, 891045564, 22568487, 134377904, 707191161, 134738821, 260834729, 106127363, 425578281, 276730987, 114500982, 708262188, 849744077, 8695985, 952519759, 426410880, 263097653, 748578107, 985301557, 227742037, 378878077, 659929914, 795359723, 526922511, 559456295, 552487088, 111622971, 39837625, 338800241, 129607375, 111359509, 247604166, 752502743, 620086098, 863923357, 493961085, 156780742, 467995463, 700596055, 365893473, 805388765, 414743121, 462166346, 755138510, 352275527, 863297149, 897246513, 533560236, 611620748, 344047092, 511548960, 538166882, 326774152, 790792184, 969759827, 14228468, 790569648, 656749223, 901574409, 121474565, 465703526, 299275550, 204709903, 418016999, 940698960, 991006749, 859119046, 443194910, 137070530, 222897214, 54183866, 312380392, 780630321, 369682894, 2480034, 532864381, 32284294, 353630520, 585544937, 143995076, 876190582, 725301183, 418823086, 254447506, 929511656, 10249536, 965878678, 333852087, 859476766, 847392027, 548091454, 494615494, 951679252, 21496311, 91776224, 657743618, 303969631, 588258572, 746531310, 720042308, 456893573, 201306991, 857560630, 897488572, 657456847, 312885102, 604607510, 176237782, 760909188, 917764102, 538901744, 709228448, 163580968, 347078808, 280789372, 561588265, 949745639, 321879801, 481349233, 129357682, 287456062, 790099015, 503389519, 798310544, 647352229, 309257212, 234797849, 39635800, 474306494, 154174829, 521924648, 918597576, 464102856, 769510331, 724065379, 322714373, 360702606, 327708720, 272620202, 492824845, 291686464, 35709477, 521848201, 12818220, 665496599, 415225050, 734114117, 992139588, 547331410, 316797623, 703351064, 929752390, 787824152, 757360642, 256458546, 681361391, 450699039, 319461551, 44352269, 474536512, 46868709, 152686036, 386573958, 204094073, 825579934, 197151252, 560877903, 528503712, 364689940, 70620046, 659869127, 724771240, 832810343, 754116596, 49426883, 267241002, 747138124, 273144391, 478277993, 453790794, 890766060, 847152275, 262720034, 458974246, 679028981, 520702921, 483367399, 981746812, 14028504, 176728008, 658791441, 875735224, 467407109, 468214839, 269472309, 268261275, 73363443, 297967191, 54907598, 974938344, 17806392, 292662532, 895947619, 840555959, 884385441, 841708894, 257746916, 489857544, 232996929, 190619201, 423022793, 743083091, 438058220, 554408149, 111880559, 965219302, 668017885, 823259574, 472428536, 813910760, 986702605, 556845780, 433579323, 927368928, 473608965, 166680194, 283332311, 355720431, 128215598, 173709844, 163856707, 779657383, 780228060, 553135678, 694035129, 492397970, 350727737, 517127464, 878483215, 219748709, 207253745, 514304549, 431027779, 387991334, 461610399, 818427897, 847103398, 978515377, 652539219, 982444559, 993615212, 850571612, 960687715, 48944000, 742202851, 455882946, 21496059, 875233018, 596427840, 888015296, 846792885, 745388990, 118447504, 191973880, 64382136, 703577285, 103252524, 690054196, 308189091, 897929584, 872710586, 112274640, 767463251, 767290138, 952724760, 291311206, 352014967, 632984407, 501905941, 255121980, 593074290, 550734819, 553622678, 319300726, 682151721, 491122144, 795700186, 36869078, 303956606, 325317411, 327520520, 183506678, 964994271, 441377748, 932875058, 382431616, 511306776, 991732249, 967211389, 335690295, 395306130, 379167293, 481793903, 90409646, 114086824, 621442278, 241472451, 90190810, 968244321, 659585256, 296379969, 209416969, 384473440, 844575369, 468856345, 101260546, 811652275, 462950044, 93861448, 901433789, 223030023, 628211323, 881718298, 379607418, 331955406, 243841695, 124533777, 49155087, 296264050, 710571806, 58593104, 463893355, 730268310, 457565437, 16552135, 651497092, 93997826, 95881278, 959670066, 513667873, 966289241, 336946518, 863090289, 316675647, 369905251, 240966169, 562203917, 254819235, 954523195, 406261168, 989704716, 811617148, 805942349, 669298573, 922333436, 495766959, 768022814, 346283329, 80665061, 527444685, 515437651, 56817497, 174867389, 510709873, 983555850, 768574475, 506938762, 915760168, 715766339, 480193700, 207145374, 691764815, 892287236, 396738393, 150987107, 814119155, 736722811, 113129493, 135182635, 546307251, 127435873, 830569372, 291188992, 736971886, 960467793, 791057203, 911460590, 69528754, 433324528, 907867001, 780090987, 139382960, 801165571, 651259270, 521507548, 436751795, 153808064, 509878617, 567196036, 537556510, 776338834, 849023999, 340222502, 415929831, 736333387, 241422204, 219298991, 986199650, 289741199, 648777652, 516108253, 444615167, 783980859, 793363357, 676120389, 570184159, 819033135, 75535488, 300066219, 773278827, 451014167, 185068744, 164200345, 805605623, 77006993, 937996921, 843320920, 367229113, 42840142, 610608164, 10972894, 964124946, 558898715, 226164289, 348070882, 561992089, 610678903, 363948351, 294505764, 111587811, 80006759, 229403605, 909993966, 929850367, 732102768, 17040263, 728766037, 321227193, 767600099, 207661541, 464910357, 232668355, 450946302, 966684884, 782808877, 897993721, 465118310, 124561280, 527900867, 725610669, 194090322, 179788987, 707062152, 160728261, 973048993, 921184038, 423853397, 870466952, 742677869, 864580595, 201523670, 235766777, 704388351, 45917948, 193774480, 905296432, 176894635, 236912686, 614488260, 962052167, 674555229, 922119958, 701485511, 904012554, 355469519, 142567181, 102625984, 83532121, 317432383, 535893663, 713108608, 255708417, 826352987, 617926694, 652586716, 801788709, 268511627, 381245261, 478063929, 726875318, 850366219, 54454013, 835225928, 6166094, 55866645, 551548516, 698483712, 770704894, 870096613, 308675252, 553047494, 922311472, 944040560, 180288397, 646407218, 188125223, 72463609, 415461677, 803015332, 993367544, 827036484, 793395299, 327229055, 911109358, 440305471, 30153036, 650239477, 441164598, 205119301, 244069022, 972503849, 762679101, 909836228, 463363925, 596615288, 393459699, 973990140, 661772404, 983770394, 222644062, 260850523, 699712164, 834288108, 896053421, 804953673, 361108198, 764260449, 387786231, 876055102, 733912460, 496327412, 28906063, 742522280, 835899426, 167001884, 721601621, 93917791, 17744687, 704978276, 630176563, 138389261, 673890514, 956990842, 657980310, 632674839, 658423364, 346887378, 96958369, 792655726, 354000256, 434244671, 612020773, 792019673, 145949764, 350556720, 88502093, 816843348, 235552278, 754323284, 497443103, 55318948, 867055699, 773683539, 788552042, 351513256, 605329669, 985896236, 796044510, 18318804, 361584718, 568236444, 993887814, 629974510, 14056167, 216664654, 986971943, 781163539, 534481592, 418460557, 570205087, 742816843, 836692632, 666841808, 933401201, 622046792, 971313156, 796600480, 13794002, 419957322, 158449101, 997450624, 414974852, 919851708, 672868381, 174892855, 280972602, 272482210, 927609504, 573587730, 676339321, 332036593, 153071535, 511270624, 432031659, 569789161, 621456789, 737839181, 336933984, 330416480, 455615059, 133752696, 931141544, 477683891, 924840141, 274965781, 870826416, 561586854, 409846459, 756537093, 267311638, 90623554, 26533151, 330369024, 587476827, 460760665, 977740816, 343299788, 295053106, 791378913, 720355053, 280472762, 806856571, 211491855, 884357770, 902008889, 557880149, 124419528, 680573207, 199985189, 599242259, 459787465, 893252389, 775922515, 889571665, 815978086, 999775890, 546735512, 693730544, 884889311, 504429606, 570431720, 301654576, 109074769, 620793591, 106852855, 950285865, 636998811, 948330806, 434854123, 76336199, 87037364, 126875410, 257404116, 415957109, 450901735, 982811168, 652813311, 96789243, 479394058, 402027280, 804418577, 256750393, 310122095, 550095414, 213343238, 436112674, 970157153, 347627411, 924751075, 263324922, 405989909, 953672635, 395130854, 220216423, 598098972, 390486101, 570305912, 147127222, 135162789, 910814514, 392825345, 199228979, 904056378, 706822341, 796348124, 195651094, 55090466, 51404839, 831242045, 71053383, 706793573, 365404648, 910864736, 615848151, 14040903, 533191573, 256059452, 272224994, 650044067, 955263900, 463962933, 288567186, 1059290, 362518991, 238664170, 215464522, 578581578, 410088224, 331716891, 598103799, 797007738, 542060965, 890139565, 409733946, 489382288, 888577990, 932370496, 827881207, 914382843, 858649374, 591942253, 333184193, 200447622, 785482464, 293449843, 873016338, 817529732, 876038335, 642151293, 553193932, 733840042, 137977518, 918846105, 521015156, 49644976, 93574011, 561348823, 141279894, 194024133, 584145723, 710897726, 857903368, 870621594, 747637295, 203142752, 306547309, 479038854, 73282208, 524282220, 580600766, 722359618, 204874237, 570956293, 533566142, 142645675, 519885631, 197606526, 814260815, 318093659, 800481754, 440490494, 192718433, 179352440, 344864854, 506132428, 304563239, 438505945, 489082912, 107544023, 478909596, 562705626, 736609117, 216374588, 995382803, 255321652, 132167848, 298973257, 866391899, 540479898, 227036188, 630809582, 817532550, 332810716, 146894316, 507054191, 444362786, 667965827, 923634961, 877880578, 249989192, 14898486, 539826443, 547889572, 806756175, 532262933, 813127498, 720254853, 205195315, 862492372, 810737066, 584878575, 384203520, 119141621, 683663171, 195928392, 453003032, 304067196, 476836096, 848749725, 835881380, 585873030, 727565936, 285477434, 757326406, 568507555, 682082937, 527848281, 213205650, 221152408, 911706457, 70694944, 815684282, 303822894, 198651827, 609528639, 757159847, 119402432, 332766224, 70520799, 183107082, 6015025, 269223199, 975666668, 671034337, 608343774, 7733205, 842929343, 399400795, 347397681, 924393384, 387948451, 343177287, 511796746, 635489005, 478992215, 914824459, 720655351, 463371696, 442116776, 563952720, 349628288, 238306824, 145787247, 397392068, 736871573, 609284354, 261778891, 837621769, 972229118, 316662297, 446242402, 620364484, 285759421, 102391441, 49821084, 529376411, 301346556, 792725271, 752847219, 19606588, 68322406, 926562896, 875313624, 940141258, 805233937, 866335231, 464119828, 774249769, 542626114, 260300869, 160131392, 297259556, 682626302, 380514599, 368496145, 767287077, 51033754, 808085364, 720254435, 585838696, 164936849, 86668194, 539292703, 296739006, 382410329, 666651647, 164146624, 727629670, 371562736, 791755799, 219879086, 944776441, 65733122, 879686581, 783187187, 535438748, 266398843, 346960927, 958854889, 887821383, 48848797, 375664882, 6601841, 264275589, 729837000, 25363950, 3498445, 770362583, 644998548, 375989318, 606002411, 835883550, 201580326, 317441248, 794211481, 7210717, 398879694, 716682770, 368251954, 695270297, 333999755, 141600013, 737554884, 293484900, 837672634, 129245889, 867573931, 580119374, 913999056, 764820265, 336516332, 859998647, 943239384, 96192992, 63360356, 381230045, 588792549, 132859371, 270814525, 512659945, 188237960, 889468382, 655075210, 207168250, 887929270, 609854032, 957974249, 674655543, 87508141, 143729067, 843607804, 174479291, 941145656, 495220403, 329140743, 240060384, 551948939, 61941507, 339744783, 98641702, 588902916, 214292932, 757280471, 556616858, 72817925, 518624794, 775535762, 101996668, 176516478, 971544746, 547494665, 463165568, 321972433, 701479274, 874886829, 555966677, 544814220, 813284662, 588066396, 370057978, 736083696, 667295787, 809087215, 965708412, 730246651, 281855061, 139316966, 299372089, 395904154, 683438244, 694566403, 105505448, 348098169, 397986618, 924094929, 642083120, 73421702, 297964295, 841897137, 478519716, 911628904, 967770471, 28973035, 395502229, 724202687, 905462666, 651720743, 628622317, 122192207, 203924878, 793303119, 810760931, 172610033, 359557007, 617360680, 869123641, 284859831, 144335523, 776337900, 910500686, 401805191, 636162023, 352156631, 855188794, 223033767, 567501411, 229791377, 19511173, 277302825, 233289092, 37791261, 225142993, 874685244, 187126225, 285846969, 885664904, 902428605, 266335161, 838086798, 262776164, 238701940, 288447789, 458647171, 481152043, 961482773, 928311384, 580161094, 869304570, 300777512, 556127642, 473857967, 930483027, 970645309, 707434368, 170131100, 549346706, 272578009, 509565345, 613173892, 751359362, 725817754, 659510236, 864752856, 746221644, 421993953, 190999588, 188287770, 142430024, 351920374, 863812543, 400969501, 246038929, 962933934, 53744872, 121665871, 79737161, 136023059, 626507177, 90281498, 688596628, 58943141, 755285157, 293290127, 292342583, 883364655, 850394396, 491632557, 899684436, 395748263, 790468351, 414579929, 856719364, 882938687, 794211192, 206940108, 776736, 436575138, 484895259, 773283766, 8809984, 216748895, 295492106, 14140123, 373993964, 561753250, 171520731, 755408422, 203087322, 79068990, 779361578, 701978894, 555537656, 54771459, 757119820, 88715750, 770162915, 810108319, 342135890, 255582108, 184074599, 496315337, 104908941, 261996669, 385084151, 23601665, 323424138, 523690595, 108513093, 916676162, 564261066, 538450577, 451984897, 642241231, 504349044, 496645380, 716090839, 588371860, 647878070, 563635501, 807122538, 981303916, 398496651, 126180417, 275298989, 266693423, 56712929, 789285936, 376628847, 350133807, 942731597, 497500127, 99103108, 727154939, 170009926, 788945464, 60662061, 820865279, 464411818, 341126122, 483255514, 766219160, 180027434, 438228633, 10098450, 942084823, 175765207, 844732696, 632544411, 903236096, 353992117, 528050515, 579129079, 370208810, 753424167, 39569493, 555857383, 259808505, 715905470, 298445642, 909354154, 266350409, 520368776, 915685683, 458575255, 800979378, 75292975, 641367096, 834155316, 816108094, 654351668, 235559309, 635033025, 312306814, 175956998, 796688802, 630046553, 798923836, 433801005, 464146382, 160117272, 182340545, 566891216, 308334382, 26295098, 581610815, 942746090, 342711479, 572575106, 653104220, 359339345, 845599134, 342903346, 865015279, 436986773, 686093031, 618478741, 191845648, 650935906, 268928361, 594754478, 360666637, 706535463, 813415878, 156192596, 565892602, 848411844, 783422241, 105077991, 156041502, 636858751, 636331427, 700346479, 248281495, 385890794, 33781830, 588304430, 925195974, 815650634, 506272131, 92660242, 380973580, 790562096, 920622579, 849722836, 132468869, 92935171, 163324983, 701790704, 689308168, 605351924, 193882497, 367335732, 864985638, 233641662, 524703629, 246369392, 457228461, 881721385, 444014121, 925581040, 457923535, 995187887, 737543077, 843686909, 216597861, 138643448, 565917668, 969636024, 842805996, 840971129, 828288937, 761149897, 348271281, 695879940, 667216424, 903078258, 397525531, 934141886, 993730584, 4735899, 494938308, 800083351, 765941201, 637401606, 900966734, 259622531, 509520865, 266745640, 372963788, 82126517, 952387819, 500370389, 268041591, 547069513, 104089501, 616935628, 403831475, 629897579, 884044426, 746762132, 556187222, 107407339, 294866649, 896349578, 710370968, 760426145, 58412972, 251911809, 76989223, 756885335, 685195342, 477546730, 50980413, 686045585, 840529210, 46135819, 332345562, 377098078, 745226509, 5322720, 50705096, 690854733, 570300016, 151279462, 732648774, 580042267, 695880737, 686789789, 586312017, 955153493, 627818876, 531479331, 226568966, 759247414, 133215932, 66225957, 334332781, 531015000, 807190510, 950382481, 757014042, 553926409, 218062721, 644950002, 336314663, 577558395, 883442078, 889175168, 807044813, 506442050, 464418522, 327653887, 213474144, 326829266, 836547073, 295916132, 853832486, 315986389, 218437138, 542721607, 476637614, 506837195, 502480932, 576360738, 912684430, 574035845, 187837674, 18796986, 521066136, 626115837, 267716830, 365875508, 946134001, 327778673, 42723681, 610404364, 589200680, 13113228, 248531608, 904965550, 926571901, 157924153, 852625222, 253068432, 942970458, 770971644, 841600990, 913283778, 431835096, 127701545, 478115772, 774894189, 43908397, 617756480, 274266143, 777205639, 48436117, 307443798, 306538936, 510728881, 317678196, 795395664, 621593057, 688247337, 976029814, 327993277, 948440397, 480378356, 966690718, 665809615, 100432262, 976857390, 886332098, 873476823, 564751098, 922164883, 89557981, 714268503, 579357314, 719971399, 623545657, 201893267, 133982505, 958366251, 188136455, 111128181, 331798975, 691408490, 28831126, 6775001, 389199668, 146065215, 388435881, 170763116, 942650367, 784902834, 859018783, 40091388, 408170389, 537755027, 91705508, 897836136, 804538818, 751857422, 150722947, 252292879, 906764829, 876861903, 572827041, 774231497, 966883782, 600669538, 60727346, 594849838, 137369791, 60151235, 279548987, 740482972, 365022610, 437421257, 472472776, 325693648, 462659347, 901939347, 329549203, 690609580, 432205164, 9157621, 742222914, 867716465, 391176607, 142824827, 919797755, 29422219, 858212791, 113243081, 515206347, 123352417, 124310355, 581902871, 692955514, 193179223, 120947612, 780667084, 195845686, 282668929, 773399011, 902370267, 72743490, 447927540, 539970413, 202279126, 618179301, 757727971, 805236810, 587926366, 913086970, 719864351, 253084109, 21846546, 148016384, 177864964, 813811611, 177037415, 778026288, 905864225, 879014793, 319163686, 685948883, 816665283, 339084004, 899249783, 819146688, 527436856, 513870628, 788931159, 568653060, 34991929, 996765027, 920518752, 806700487, 959821437, 267997479, 181919380, 139427519, 322837696, 971247558, 898793783, 141034000, 47064671, 651861915, 35086504, 166109558, 528392704, 149618522, 262414755, 614472139, 486647147, 494254189, 245691628, 225397917, 771234796, 493281498, 429754018, 369102842, 284504182, 14066854, 922998025, 387087423, 401124734, 813784588, 523552982, 888063375, 2780235, 60383251, 184399857, 908693674, 629022306, 809614407, 909270088, 251625985, 430745056, 720630766, 246860881, 198878428, 757951061, 733440638, 736131215, 699313932, 337243294, 570704448, 364204858, 456525009, 954981464, 404334987, 705495032, 686919890, 216412449, 390528199, 383451243, 132400905, 261934898, 341733037, 985840218, 974034486, 114271227, 857894643, 534596624, 931659514, 595085799, 32830291, 39647797, 654163924, 528855273, 4163342, 290230882, 408652105, 536093775, 667250961, 389917672, 629092315, 999450648, 971476784, 480046574, 862846223, 520726960, 711900, 551892082, 927149816, 445714364, 920633995, 916583065, 768716360, 496190617, 891421291, 76197819, 714388753, 638722831, 933063722, 695983506, 213229474, 343888563, 302442438, 544403001, 131198613, 745325242, 100701469, 591768667, 400415060, 507407809, 865193032, 116359748, 899145702, 944023234, 207155618, 799655861, 345263167, 418005088, 411897764, 672510429, 22600415, 118787049, 998737128, 234312040, 781997429, 769722754, 831316579, 712871081, 733698423, 598778664, 220907032, 271960907, 957611509, 208440159, 861577264, 967238881, 411625980, 586601042, 31719116, 272335531, 600581978, 470750673, 987950526, 261726094, 467273992, 901983038, 538611613, 225652353, 793254257, 204180096, 378716572, 664448740, 693881871, 839899577, 764475526, 266600222, 929501041, 507376520, 250116696, 224669799, 457017903, 133196122, 924703312, 26239488, 405843737, 661202830, 220200731, 299764280, 639979754, 679137159, 485513356, 63525400, 660861265, 723051326, 194234073, 6189175, 4940641, 904873142, 493982596, 411368875, 745562888, 331404346, 509906787, 954521422, 32640292, 404850513, 701854898, 291710210, 690721043, 760483851, 637314822, 525861163, 593861334, 731510714, 111100769, 148725503, 951950588, 268641578, 655813636, 286432518, 728031645, 653033289, 154437464, 678105744, 990468424, 978122233, 925627685, 720559438, 802092890, 776725803, 973222759, 179535230, 433444836, 621585749, 683431896, 891600330, 153075488, 716239588, 363697568, 549660085, 734964305, 669861153, 337284999, 93266559, 279733320, 980731461, 809775392, 683093364, 113578100, 364170401, 826625648, 616117392, 601229389, 844131111, 996589078, 72602323, 871903812, 682176966, 571741668, 777999223, 244639293, 999577531, 704164217, 850885214, 561120263, 150580631, 110025599, 474258865, 479464651, 665203750, 983236011, 466079958, 460144500, 389127370, 746427865, 81175346, 141635259, 772278259, 522949561, 999375162, 440820155, 716541506, 693346353, 640408470, 630615834, 163022026, 393668813, 616828456, 229131703, 2412587, 12294336, 513863155, 140876111, 431352122, 34883960, 448972095, 140755480, 939015544, 734235693, 551521290, 396033048, 4149768, 727955208, 414964435, 947438184, 876884060, 326702095, 626269364, 527686663, 405861532, 657023516, 728828355, 258733585, 876808207, 243000351, 866023334, 412330504, 530377894, 785068463, 355837179, 653576374, 222767463, 570908155, 640734930, 949208833, 38831890, 731920276, 848804754, 695126396, 455630591, 498936699, 519308347, 82109727, 238067085, 218182478, 139574790, 180429266, 522210421, 77527403, 613613492, 590838697, 11926175, 502335492, 308404094, 616437276, 761371914, 184977032, 782059846, 280001309, 11927892, 524208726, 686121466, 858651710, 547028887, 624696561, 774823572, 472480839, 124316134, 326106526, 210819929, 644884489, 1343671, 245403188, 334936991, 262543185, 321538591, 716393651, 917848660, 764160243, 169767408, 609768419, 900707996, 998511126, 983039154, 450174782, 55504538, 547114589, 537939590, 103579505, 89764400, 499060390, 637576283, 922462861, 623051201, 270377986, 890402635, 262701236, 467001171, 159044112, 709162711, 815222942, 151003562, 818775764, 488131936, 848624275, 71450854, 745112634, 262682477, 37924678, 534928391, 665564801, 102683437, 846203906, 291332406, 68849837, 415595672, 553769204, 845982950, 21588256, 813561246, 240195245, 989724376, 535437375, 600102086, 451751172, 674976834, 313770734, 822853548, 600821898, 650905106, 641246955, 218427387, 224391087, 754727151, 681521127, 667766811, 244880664, 362950515, 733244051, 343444408, 967469830, 149423327, 719201383, 182089659, 986203540, 29011796, 870498989, 171732664, 514743605, 375666054, 333608574, 138562039, 862404750, 719025887, 56009660, 682539953, 746036723, 785011749, 665312701, 102991323, 109988203, 433332181, 449569210, 543381559, 78360608, 229422931, 316273687, 653128913, 291118305, 367033528, 354710556, 500897961, 219233984, 226576592, 838930779, 417459117, 292845441, 84602220, 675175188, 945473021, 517845033, 648078998, 160207906, 648649914, 375160597, 606199996, 471183966, 954393555, 689794053, 431031433, 150102334, 916610517, 905777587, 360890199, 850899138, 240630736, 443669701, 48433269, 824372388, 425664823, 285703100, 305334223, 361709041, 717817130, 179000360, 22945206, 346908812, 649624837, 20170505, 712450518, 363814046, 923670183, 638830024, 61696735, 535131671, 642997116, 149404229, 404135851, 825685775, 941723964, 489770264, 491059513, 225953857, 560213359, 37381747, 478195287, 62289684, 43088982, 511633201, 13573168, 590983808, 861413758, 212187091, 28766105, 88573500, 542767436, 814761843, 106149206, 109265322, 168139134, 39588156, 888956027, 963977908, 876801940, 808538325, 796205940, 98901023, 553111699, 251371369, 925993364, 275332774, 353717302, 929306911, 149942386, 458059983, 958895709, 296560809, 978477384, 300483889, 37755941, 752542151, 217790131, 498041350, 937603851, 145536104, 418403807, 523162280, 79565821, 185879672, 278844397, 285640054, 804754853, 112479171, 2861596, 462200381, 636694272, 513904413, 157177342, 836280404, 184367370, 39289255, 403856351, 610344408, 833280427, 181347066, 335687503, 462679806, 676084168, 62480982, 318662902, 201889070, 116884043, 680246875, 553070118, 671074635, 267975454, 957648018, 421946304, 857712873, 273649091, 529741171, 415926534, 528974234, 802612655, 399987876, 846844985, 309698160, 775507669, 903684035, 165577354, 839728227, 23314109, 580507739, 518326716, 339349883, 322917474, 403780146, 101248936, 183351208, 485183992, 899287009, 230216388, 476153534, 476180881, 126872321, 461482354, 209826151, 202199348, 861283539, 443326814, 140107613, 865756176, 766226341, 424330470, 717028809, 498299923, 608087393, 780066013, 998012147, 277589888, 636892530, 915263301, 960275975, 742789189, 869125153, 828401347, 67305991, 401508942, 266211210, 391178858, 999604450, 99821455, 669502030, 671713539, 43271555, 258296097, 246353842, 430770486, 60303, 223469743, 159450586, 27998647, 338201520, 795043157, 247235419, 268633373, 612391187, 181564339, 52570901, 236386178, 863242103, 7678825, 473458473, 318010217, 906646618, 879691340, 966178235, 75780991, 370824841, 116624861, 576549259, 944040769, 986195432, 824554420, 679196196, 799126052, 587662237, 561795735, 42355331, 108984884, 407828316, 465197912, 966481559, 893227525, 6795154, 746807368, 956601637, 842362556, 788793565, 825282315, 294503251, 66141413, 501306726, 554349921, 378508021, 67255273, 409932925, 132510741, 839067377, 544698248, 425052546, 454631494, 253882207, 282033677, 473613276, 409123796, 212259467, 219507552, 432051513, 134552237, 782589502, 104587457, 805099852, 621686092, 307677090, 149127423, 738555759, 37091998, 326275650, 383234334, 806427721, 751437504, 438843618, 520928746, 911631242, 202301160, 861926799, 326322946, 499263980, 828409281, 599841411, 867420740, 925785656, 28711916, 906146755, 649130256, 874456776, 617574247, 516321250, 971095261, 103859731, 197436243, 690601790, 777983924, 831308642, 499837113, 342843208, 866153407, 32770461, 215641641, 71436856, 581312876, 146890445, 383187688, 273693177, 724837601, 551716450, 494345814, 39520618, 680201151, 762771021, 956022376, 929320618, 509370460, 498283605, 160713860, 191768148, 586313956, 654163874, 79916786, 772788632, 422138495, 907028585, 733815728, 920722380, 914763921, 868362416, 148485132, 903114571, 798150975, 67457889, 646387851, 99708242, 632239330, 278591696, 179592392, 184729438, 287806359, 407219041, 784718253, 69721491, 930354925, 895201432, 687908854, 836338718, 589228052, 300509746, 494516678, 206697133, 378463131, 490352449, 693472309, 409918506, 220644021, 828277036, 173914740, 204896122, 606243202, 40301597, 153552096, 974330964, 660023490, 716079297, 815684250, 103558465, 982664142, 258809696, 152641969, 202591601, 163899103, 994906817, 585093459, 683591612, 201003775, 497576039, 262522396, 37828791, 277369834, 900994408, 506017878, 844237799, 723699604, 233804001, 899089482, 466561118, 528040275, 288406710, 836203606, 785980489, 628655494, 43261734, 207115046, 696365649, 705056529, 683643403, 641462721, 371512969, 834555095, 201393204, 879007237, 618142198, 549712120, 458219540, 717288811, 34860271, 822273050, 227705657, 525039836, 859952718, 254644020, 947105971, 142810503, 446633396, 780695772, 731581263, 623257091, 312551899, 233721043, 93523055, 437469135, 378941459, 160391489, 196704840, 77006501, 709463535, 419702806, 437283271, 295170512, 614120860, 936408982, 347034594, 93382315, 695423766, 270139380, 252725, 803344799, 85225899, 427296361, 555323618, 233133837, 918619780, 797357979, 352315640, 403758121, 699335142, 233637578, 344511428, 950881430, 758192197, 789669696, 205468194, 285105309, 197163772, 312368791, 621913299, 697228543, 875245373, 433117553, 284384640, 470179353, 8444376, 208744058, 372707189, 156194697, 406743001, 434400566, 364687364, 594968395, 695397211, 55948840, 683344559, 979069432, 534293505, 309084727, 187051626, 816628362, 978579426, 265658374, 600880858, 296245550, 542424593, 110739241, 10276331, 91621325, 388370316, 492914032, 276802354, 604366877, 623452743, 806858505, 449146410, 313894710, 886503824, 573383623, 855827797, 193668767, 386068605, 876146368, 675023967, 15696195, 24256176, 660023795, 30181978, 17584916, 691445663, 874281186, 767821870, 569342509, 935431676, 150373153, 563667042, 638663738, 902389347, 952013547, 898338050, 764972961, 260241056, 258424481, 174044528, 454714853, 142911426, 189317039, 486892826, 451274134, 967532401, 469461175, 226186167, 873568232, 24899818, 965102317, 642284849, 515462306, 508830842, 560504650, 758749914, 526600173, 413889574, 679064381, 219209453, 796923916, 111804355, 282087985, 236881997, 800834230, 525042374, 228058331, 893366181, 371136683, 909719192, 641056845, 97410286, 302853331, 810993527, 763514029, 306961333, 699679877, 257896013, 806565650, 537709563, 876754489, 748334113, 81995219, 157881863, 140842264, 670282077, 547985458, 64513214, 405928609, 994525577, 376947787, 304233154, 915511490, 863968649, 873667084, 122461715, 797712349, 375774139, 897830234, 971416937, 186664125, 107717316, 887630980, 378935547, 552317867, 823875799, 271799030, 549100442, 750932927, 181122136, 683205237, 953835599, 799411681, 161647711, 518973034, 458722690, 29111485, 726813390, 711840987, 758857822, 573611555, 90038192, 345107778, 299452619, 194944513, 4666924, 782941744, 54925165, 305996020, 469147598, 887746949, 348483533, 985127971, 508548865, 151477073, 868536934, 80821492, 933206658, 179469716, 425829410, 893897979, 34667461, 720672741, 160143784, 319860638, 198799829, 785290106, 145639426, 764012831, 540715677, 410956625, 391885080, 466611052, 874019715, 484318287, 50294484, 997290875, 399313346, 852020155, 105152784, 204170844, 219260526, 158512409, 707395269, 153696777, 287569801, 620145605, 482753765, 266302509, 215680523, 199117104, 743997999, 899779784, 950991754, 622097178, 420341233, 463516342, 501647306, 745975833, 113018382, 960022410, 291602574, 263962459, 188116449, 954094284, 382849089, 46590717, 348069866, 485389647, 508458554, 89525595, 233652481, 696516926, 24321184, 163872200, 735951302, 300226949, 248741928, 632317909, 136282234, 143719374, 975195597, 55208784, 564752192, 981124424, 223828321, 538830707, 711313649, 66974071, 437098027, 336175281, 590238409, 167356767, 526276073, 514768947, 868519304, 221412521, 816670724, 18801863, 379524911, 883331803, 242017101, 893190695, 82237653, 934864756, 852672273, 416459172, 246374481, 741868360, 280981989, 43715295, 405549333, 415067929, 820035538, 544928107, 866603690, 503156359, 547226788, 97248285, 22159204, 959837922, 403646071, 488036984, 345874502, 653887929, 189576369, 233490135, 478231519, 508179005, 25340513, 26478687, 810417562, 730620894, 607298558, 560947072, 235915960, 398674805, 565106168, 662628926, 312399783, 754856819, 585232429, 597194457, 305675515, 74459999, 377900109, 522643437, 228637621, 861375469, 336670545, 448349245, 829531542, 13531289, 358909926, 11563703, 538337238, 929960995, 192173963, 939460069, 8389419, 890620625, 531532432, 258499297, 694712933, 264653999, 386159160, 448095995, 67838328, 981277457, 348170804, 515999819, 262238375, 381082040, 572959823, 294562831, 87770856, 271361957, 591427066, 563210504, 70251544, 318825048, 530836914, 574371096, 396777387, 320126943, 497018950, 598846491, 438541602, 756191772, 853387698, 411348887, 908007414, 671603185, 269756636, 697390505, 369766151, 756858016, 956197792, 561950482, 404392790, 716221604, 43246742, 624350133, 526883941, 818821270, 365755519, 258826429, 898101016, 664534882, 259303149, 368628354, 37404244, 848104107, 745110804, 381716125, 339951589, 586708010, 454065748, 71316035, 515206090, 237836906, 968014943, 565825718, 890667493, 31226507, 508594272, 50955851, 503890031, 564294466, 197712730, 274175372, 593339530, 305436426, 51776934, 417045366, 690567719, 722347073, 121887735, 636846, 512102589, 718907937, 160650633, 414966735, 574292294, 260747385, 191997848, 470374250, 946488980, 641494831, 56205254, 932319973, 887660777, 958753808, 442171022, 589483473, 725592812, 244616412, 117573291, 647070249, 565860621, 858831203, 553639809, 56040835, 118411056, 164407534, 322194030, 419610972, 666942108, 25802237, 221901613, 39840244, 786745379, 676336474, 939300035, 334930840, 121542381, 690663717, 191409310, 283016110, 795501849, 282921733, 362047173, 377572928, 378480347, 316194427, 633424204, 249498490, 249628144, 895488240, 141289038, 272388798, 39463673, 45049505, 376528305, 210179894, 4017612, 765645235, 204981814, 135735651, 571614673, 113738763, 990547483, 157829164, 118386828, 341141042, 354510356, 394922004, 449842189, 871555953, 699194617, 670042312, 447279936, 582317882, 1940768, 98273502, 776115414, 78997919, 190916599, 802764879, 553454346, 103954446, 835339133, 878234966, 854172638, 310481275, 566555306, 4827650, 254452092, 829095682, 858395929, 998156182, 414121733, 576247307, 981597730, 865373827, 490714776, 496762144, 491743134, 177607724, 630245385, 893315060, 732826454, 488915486, 533315707, 135071200, 136067571, 919534489, 542487929, 706386933, 590939102, 237893857, 132938132, 107694361, 328898991, 121484995, 277681880, 107860831, 336585002, 586712386, 273320974, 162940780, 159093931, 210861603, 390443515, 174031772, 947755415, 528380380, 600438489, 470851073, 22642529, 584317181, 77828744, 992573789, 501604831, 626911249, 794697508, 525999330, 422097790, 7017574, 449625986, 100410684, 416624579, 545678797, 1265032, 903335123, 249187808, 68331025, 385538065, 831521089, 93135389, 687373064, 806324465, 890752633, 63069127, 999375199, 222994774, 703575047, 866218339, 511820586, 183420397, 158491556, 272519360, 224179399, 537460989, 159633697, 747610142, 392291181, 499851857, 800942699, 94209326, 538402059, 86791634, 199726542, 496071039, 952316915, 911925699, 180388437, 561989133, 389876895, 754982287, 554988352, 561502683, 404442959, 185498990, 902861475, 235682024, 875047597, 353320622, 276889634, 753322412, 686129529, 817945105, 428840147, 469791041, 71218325, 329787101, 875838129, 824133780, 831832514, 379067057, 526981431, 226292434, 809213613, 222768309, 431381502, 400524577, 202870433, 845394727, 259955145, 187763726, 465121830, 346314649, 320618507, 665618727, 599905082, 754461801, 405389186, 857018504, 889477477, 651978919, 209143232, 569193395, 98921660, 361997820, 616528367, 855802305, 153283187, 237567371, 751406283, 593844100, 345130588, 599285003, 129063650, 113855211, 72587103, 590815347, 640765707, 421089207, 164922934, 385109240, 287810894, 168528536, 404808336, 486590084, 696469943, 608464094, 74467210, 838232319, 539089408, 396068999, 915599626, 362636577, 841602591, 580097173, 280703823, 278101088, 404871083, 914361822, 137309648, 268742932, 884288832, 43911715, 789872596, 892665295, 250479643, 577329952, 576315413, 506158942, 108852218, 504392083, 405531695, 534883148, 392198980, 882945432, 509397114, 471617656, 790704890, 411370532, 114382991, 372416505, 368471305, 226578505, 27875610, 53774096, 494946819, 50415946, 75099234, 269109491, 846265466, 861701084, 116827553, 346374561, 361055818, 895645402, 934792876, 850250270, 694812370, 787423986, 433399809, 245666961, 766188603, 23049881, 955543901, 905728306, 462235474, 82672144, 480670745, 741215897, 199563051, 385482569, 298635756, 851373061, 829327678, 189727707, 128912617, 963425809, 110802210, 990682153, 474363121, 871990026, 340329925, 482431799, 399925325, 255205448, 342079157, 715711859, 39847254, 904088100, 982786021, 478186541, 587438430, 330764922, 505339093, 860935445, 135183198, 769135979, 290394826, 389008135, 43429799, 982628510, 318762927, 500314578, 937054149, 487902775, 121372993, 13709225, 392449771, 162464475, 566184074, 531267749, 301477215, 624785468, 389341419, 385435134, 227322135, 801781926, 188104232, 283196615, 160365113, 581056190, 317857363, 865785190, 937913028, 126940639, 560715083, 826826858, 696527655, 228660818, 341330262, 490264674, 99035217, 956769417, 43415017, 626974220, 484739338, 398044696, 629066880, 511035683, 917652682, 816666236, 738289452, 562023190, 763721953, 811347185, 872413421, 298962947, 683302008, 806492002, 311288274, 758878112, 781642740, 546929653, 86838099, 347954160, 410800277, 708019071, 428796195, 240381087, 111249697, 470521723, 878004287, 749893101, 926115153, 766918872, 313384902, 282514125, 693559512, 410619175, 550574002, 407264197, 842111779, 659304626, 408802622, 365498663, 789707351, 889638136, 334285344, 494976651, 968668286, 954846953, 368720128, 760936126, 831181971, 552170313, 412087386, 572626412, 143030824, 786996318, 749700913, 762341634, 114337125, 628008929, 929185922, 934028724, 491686710, 771401120, 325826225, 202348777, 615107456, 273284693, 600543652, 50752360, 126805969, 614737460, 636765451, 647109158, 94437640, 788397681, 284207207, 382573419, 929742652, 175298806, 716723880, 108141843, 166305017, 616313653, 74722255, 555618663, 518007720, 586481551, 651507213, 488005339, 620294443, 717100095, 9717322, 357740149, 671767197, 910916252, 424069911, 599048828, 869717096, 529228725, 469225815, 515460374, 594338267, 520333183, 541090644, 912264580, 904337760, 231987686, 862786820, 802363828, 537763354, 858161862, 792479596, 852123267, 859618453, 578460562, 215256569, 985573552, 967853472, 646617428, 91309097, 862662274, 110458276, 662116844, 693710585, 168520340, 432655071, 932398443, 976468558, 68592319, 721838937, 730171891, 248385497, 708534510, 163710167, 292095449, 650717376, 384781381, 743704575, 967799158, 323357458, 682193918, 274946255, 995632778, 269137745, 690331831, 359002061, 938163282, 700167185, 441672117, 106606811, 599862772, 634798515, 994372954, 663848195, 594144281, 927632734, 551702665, 329759823, 490147282, 859850790, 760227946, 453739783, 543959965, 579362595, 823994490, 722053778, 677036864, 449909459, 495166545, 730780537, 155549731, 335369447, 570066131, 704098367, 285469967, 987132026, 559732429, 540410959, 159228312, 565909814, 895746125, 770040567, 197382773, 78676379, 953438936, 603004260, 500936672, 218021666, 108803126, 962280751, 493199984, 275799633, 655325422, 117544957, 67882297, 832840614, 895904863, 161439503, 193914677, 999811802, 271184450, 223965536, 321557566, 604804816, 464713825, 416286916, 717398357, 708059032, 592207029, 140214521, 941799187, 319151700, 15291444, 847182472, 417155278, 863201543, 587064960, 238506183, 836526635, 249795870, 81061827, 272359471, 545600756, 371697085, 763755565, 232618784, 426640390, 402728803, 226944363, 70831802, 82494286, 47171629, 763751272, 877549282, 305117867, 138828288, 755795023, 289702146, 678986457, 871810178, 67193163, 120052191, 954786038, 747466406, 370056051, 316177627, 678620700, 479497118, 251778792, 151857509, 7077282, 804770544, 12116986, 303816762, 783125253, 350517603, 46967405, 724105147, 547380804, 666863832, 807569095, 40346021, 800106796, 661559140, 665173898, 280463093, 31074576, 322138290, 599321817, 725887140, 243145555, 760727039, 915643557, 747028016, 361042556, 894809813, 577086541, 989451413, 84956926, 38888761, 665232001, 904241394, 931570960, 258546120, 53961456, 635979889, 345007332, 797931551, 918889723, 728512363, 27100800, 303917354, 62805133, 654051042, 655533258, 645278238, 724238932, 589514164, 805328818, 158784661, 125486099, 219091020, 304643090, 420468971, 757453148, 560259634, 727239974, 903087849, 699986947, 675949719, 935997518, 582924635, 336469611, 614097112, 942252990, 199221366, 831072648, 587643128, 385735445, 168142593, 556922810, 417405662, 329065738, 163026156, 840396234, 607539188, 374843690, 669697568, 316305352, 605653073, 472444499, 799289649, 5532541, 650266281, 908555849, 933138546, 860990846, 623466296, 109796920, 584498060, 350025516, 838413983, 56579103, 434796545, 696928870, 174463777, 102883399, 641519407, 344379012, 227243608, 885650530, 984889845, 872409764, 122494110, 181658728, 589283123, 35057101, 47380874, 721999086, 457605499, 124243585, 41419963, 59663770, 874399262, 367747447, 928452355, 842944276, 508718153, 121126902, 46827602, 515091845, 221428344, 481888470, 567414921, 473194436, 209389437, 228873364, 321061797, 841760778, 985486962, 405734041, 315771199, 451485835, 314407439, 379378607, 389414735, 287736463, 449313374, 140468628, 388856224, 956381493, 718303417, 58484561, 602398830, 664838024, 686643003, 613603750, 416297718, 281437202, 283723289, 993700708, 446290658, 177070294, 465380303, 20893500, 263180947, 586100343, 641350356, 568064335, 430067240, 814200544, 3567442, 678205760, 963812405, 5454662, 882118012, 989033018, 232020473, 802258265, 616794291, 75840527, 446564186, 60370171, 377084395, 45837857, 254027712, 863258937, 633787774, 843307359, 901566376, 458479242, 908727799, 111114474, 79109951, 937722111, 489669138, 457376752, 355603028, 739521490, 458955330, 810060311, 257754372, 283208811, 932651230, 969919994, 659432050, 227733030, 374222468, 460275823, 969601145, 462016313, 503905488, 206081523, 783051750, 972220761, 384399402, 709208064, 882127022, 539417312, 660275008, 843606073, 753053480, 613537001, 635216179, 160997453, 131114301, 471532844, 20051654, 632054216, 119474483, 739361674, 387434727, 388506446, 720667059, 542357321, 30562057, 254434164, 507337002, 293416315, 113940441, 333855272, 838517635, 236620935, 986007058, 438968291, 537442288, 639470852, 871837629, 316479540, 46933564, 35774178, 129419506, 201279556, 821381798, 778839415, 886105382, 344307782, 873550367, 588711921, 776177207, 573848830, 282660687, 580938295, 581281942, 667751962, 690934143, 346412941, 101867075, 372732157, 699646389, 323269763, 314915448, 466933915, 284770712, 671865971, 955139052, 760113685, 884388647, 100895882, 915695156, 468675065, 540590271, 290183982, 815685406, 160613378, 355143423, 313432517, 857543316, 462823962, 734821719, 497243277, 29162460, 825376784, 782906448, 406882721, 908727777, 407875032, 60288004, 232623240, 734861264, 663842988, 470879842, 507767374, 775478191, 75193663, 155859958, 915445869, 707415831, 261309633, 622736095, 893809054, 576939527, 351804799, 648225574, 501509789, 815979444, 766622992, 153700874, 395358500, 713865332, 581210797, 481445631, 549835015, 301304300, 291888950, 747924108, 410371589, 985582887, 571929626, 551675702, 956029061, 82402804, 104893878, 66460170, 145996633, 653756537, 76854097, 522675148, 857601709, 315350935, 609872790, 743056100, 10290668, 850978662, 646002570, 942132543, 457137174, 953034925, 626565588, 956796768, 168671130, 618518818, 482762276, 756169102, 773830852, 564770931, 156236886, 913541838, 198264906, 261270788, 700151910, 982850738, 807514705, 642484888, 268814421, 973890390, 332393578, 256226335, 548032193, 746276232, 14965220, 449203065, 475591467, 450927734, 402836993, 966379948, 487886229, 565109301, 109377857, 330244610, 483285356, 675611747, 149415529, 587796778, 558422809, 460546550, 482836461, 692763117, 368508689, 388202470, 60954542, 808758825, 562888743, 572765398, 733029857, 861904455, 239842326, 667100302, 193139094, 842664278, 496588707, 442737485, 865708308, 240037998, 339091539, 644030248, 217276417, 547790371, 777551319, 871591325, 699568382, 256522539, 363115456, 578090236, 20691150, 54493771, 509875932, 832788116, 83775256, 95923646, 581934307, 137616677, 231504737, 957746752, 29436027, 59584405, 451413067, 54874763, 816668805, 671229567, 930790237, 159583389, 251518215, 25264721, 196288042, 852221960, 119796398, 784199117, 157766725, 376689328, 63975925, 653565846, 275071181, 320602829, 724419619, 242348220, 942058090, 234941555, 699563922, 722092216, 389102861, 996276086, 651949173, 939328987, 266073259, 929687564, 337930201, 321325573, 559323711, 686055839, 768403546, 743141393, 453550650, 394859039, 379778228, 738944807, 748783687, 980799175, 652027468, 659289120, 137657, 216327066, 64573497, 480953810, 24610623, 75075422, 423231718, 429223716, 102480287, 623920276, 50111737, 188594822, 60370349, 278101133, 263020853, 305671423, 470437590, 862999123, 208103445, 810865801, 708568586, 191082083, 391324720, 478227104, 723267228, 684975202, 125713971, 904206207, 192777025, 966349701, 72157773, 660603727, 777805510, 408625874, 663706244, 817508868, 34901011, 398931444, 218679528, 658381318, 366280942, 858991986, 936707950, 558481535, 985562464, 549532782, 385267796, 293846877, 457953406, 938874690, 437185270, 797469272, 887022183, 252894543, 88926513, 170406627, 735104856, 512459895, 208178933, 871797316, 473165858, 301399145, 209816870, 598145315, 309718012, 796305091, 498066683, 17825754, 550528081, 621451166, 649476299, 355783481, 741641622, 759341721, 433099985, 501565184, 88932769, 649961467, 974813613, 675047827, 116031492, 32019323, 767376963, 86999109, 19121768, 474828967, 358541041, 943322613, 982108093, 708909189, 835302523, 726689511, 999142504, 534362710, 316045480, 34619127, 575619520, 76263275, 969949501, 114708174, 540281884, 622786878, 957492434, 350849804, 179298647, 313241771, 162586442, 142158064, 514242080, 868230450, 820659724, 857540468, 785191701, 362891153, 486150784, 777170000, 492026078, 798039520, 185769037, 753102021, 853606422, 427625100, 639257235, 535604816, 995321504, 262393481, 815388674, 422697295, 48147555, 676761599, 154286519, 48577932, 815833710, 884125321, 632970074, 894235738, 362576464, 159328838, 35430185, 729499639, 436266769, 776649271, 120118498, 570513597, 701421691, 115980820, 71416763, 579528587, 987804530, 484822013, 243444711, 880587221, 922859164, 884909783, 851959317, 29399536, 369343603, 505732731, 916593763, 510131119, 540801054, 653184030, 187753011, 928711041, 709847553, 506088485, 782679315, 522839078, 418168965, 709002609, 90270500, 248660466, 560190737, 32571711, 230044390, 932438923, 976817630, 939838531, 544197230, 775711724, 333606106, 671129638, 597233748, 883892508, 669845183, 261336736, 922978719, 795998337, 50608423, 246799393, 624467322, 59178255, 24046132, 703440979, 712409682, 85546089, 852088556, 42170354, 948651642, 984162856, 237823862, 421154555, 199897334, 558134773, 607149313, 638523761, 833666516, 991948550, 249494963, 757449586, 442347429, 76119307, 390260552, 884504379, 392681516, 166416488, 649194582, 218541808, 271187088, 383291635, 796279794, 274196696, 684405333, 548472713, 906051184, 751054300, 485586257, 144386271, 888344929, 74748512, 447809936, 583446762, 19581893, 894152515, 390460861, 488528169, 652798618, 14444536, 175632075, 987455175, 295097537, 973540034, 460323872, 105249470, 649043995, 776676652, 282150216, 714310662, 718779979, 398223952, 299198175, 328991635, 36393279, 340221541, 827920729, 457381378, 684680628, 929119244, 22354383, 789137600, 650408687, 444549636, 553665248, 582612189, 555590739, 212253201, 965989973, 594239168, 253608745, 995768864, 457435154, 543035078, 2248885, 654759280, 834849662, 309274846, 530083128, 366691311, 660961255, 58619697, 728295044, 587707606, 102357175, 310094318, 288080786, 321338701, 1182051, 220156242, 328295173, 592034956, 901287287, 747865792, 188106321, 589912844, 852171067, 740059286, 357949380, 384644691, 588978300, 523094135, 217788490, 89494962, 180234948, 736656731, 318943299, 160499898, 291398476, 922693216, 777437558, 624086432, 148456182, 830642854, 251624795, 423970932, 202949644, 491732252, 565132469, 456316311, 27294474, 10035858, 53525883, 451859416, 643412752, 733328874, 969411146, 822300500, 762025683, 207013906, 770417506, 488161061, 463677463, 322997933, 315725620, 319380490, 85540312, 434546554, 387080446, 197991575, 300705099, 419718760, 40408396, 478262670, 871427645, 310941319, 648344704, 891769098, 237210541, 144998535, 650827289, 24862955, 856412834, 484581405, 770849262, 607348091, 844430826, 115986906, 425338034, 674728775, 778769777, 991953447, 783732657, 982255925, 836946564, 681235788, 798397769, 363445362, 925820880, 894609452, 131751947, 918886485, 167128016, 776091654, 902179214, 670994100, 889968414, 970130491, 862844392, 934921294, 290641727, 263990486, 2864898, 149750784, 876099263, 128683527, 886820246, 239679034, 949634624, 621345277, 818023832, 990247814, 435235006, 48977319, 453399809, 750024669, 285359138, 114144531, 807555322, 809491321, 162756319, 52291363, 934341339, 207246222, 118035422, 171790607, 857212698, 24839663, 499620264, 578997501, 345718438, 205937020, 82673247, 453471154, 231577118, 303131208, 39853326, 518260968, 569328908, 63496602, 488358763, 910109771, 21360296, 558002536, 704131473, 697249226, 711301632, 129597963, 388615960, 943869557, 143350160, 988547273, 676227895, 845462245, 886626767, 528137195, 513788313, 668898292, 269084948, 551154063, 807788613, 26103586, 310426727, 311339013, 834380238, 154493386, 483695126, 289318437, 586280190, 26548261, 7283416, 89245440, 360280220, 952577866, 816747470, 557028923, 802131872, 508060257, 620521231, 474537912, 744825374, 69604801, 308525730, 84695174, 591867610, 120212845, 175611464, 231751606, 446624590, 845826964, 430374047, 527783653, 969359864, 64822786, 841062228, 316631041, 826138528, 852049229, 412712052, 561206530, 121570441, 444847715, 840493482, 709945745, 848677410, 245960863, 479574179, 472697818, 715320524, 697320624, 720393157, 747239366, 729294919, 924468096, 295101091, 652083784, 885843515, 13371458, 148593491, 205359243, 734589082, 59728493, 884680624, 18457062, 822863653, 507946405, 973450327, 773557980, 496486605, 255558398, 706776931, 145377721, 406410711, 79570497, 939529110, 306324733, 486148326, 86785080, 476541897, 653840476, 757250851, 67489028, 126182943, 69140492, 29574647, 949491848, 252625109, 73599928, 672348729, 149095247, 571889151, 489380583, 826090102, 851865426, 848630840, 831143770, 927940860, 619503143, 129907681, 772739462, 794501576, 31304554, 311155653, 332351895, 333654826, 116503577, 73710831, 417918694, 368975389, 133068778, 354758169, 248430663, 15843119, 336985152, 295584574, 600987564, 636887706, 838429041, 188235390, 324880755, 388380709, 336657773, 879941224, 848384691, 36146591, 600276757, 728053496, 707376712, 111507621, 650811524, 575452974, 152463533, 490815455, 416086578, 168615573, 481769626, 952616323, 471489029, 735902093, 470005652, 652087958, 579245266, 616320015, 704325889, 969504370, 914774334, 503395228, 718377621, 800321314, 662138244, 6305005, 530296332, 981461091, 549347225, 599600263, 388860091, 186879757, 438495100, 617857424, 385653770, 90478742, 671507059, 254842250, 135901418, 733491512, 150922238, 379157592, 799451221, 233502622, 625804484, 466305954, 377490104, 688288485, 273241383, 309478424, 835594738, 720842300, 982357554, 115656373, 834676933, 430478248, 503143171, 173238472, 427571859, 921830248, 137338547, 821487827, 201615458, 886867187, 793265870, 367463903, 984268128, 298311787, 933911332, 565413266, 268896445, 839990026, 666091212, 881359265, 580118873, 678283023, 842096409, 170481283, 140151982, 488301253, 79449612, 456525577, 600833054, 468411945, 736193161, 204745685, 37032092, 370242281, 13723900, 706597542, 366170135, 553449206, 569296242, 123730591, 374694847, 699909675, 288651045, 603067735, 738244691, 508276561, 174868985, 490936549, 633658369, 463863416, 557658950, 170838087, 682390346, 808653635, 943357045, 550973281, 216486041, 225356018, 509775253, 289879348, 301573230, 959442725, 97256980, 142519622, 182283062, 9566189, 200082690, 866306861, 752394944, 759729168, 980275533, 420244172, 238861132, 906712901, 295687898, 404613276, 427586780, 381750141, 862864683, 1297251, 692368336, 331106344, 850796084, 299866963, 523052043, 429288334, 25186276, 356164021, 728677867, 170361583, 672968286, 575731929, 651875664, 309149936, 925208609, 262290293, 932961282, 982315072, 360354091, 299742556, 329332864, 999362836, 28981786, 194400579, 772952052, 470546122, 537154999, 169370061, 229859370, 965311921, 193023775, 742834672, 530940332, 421685641, 381773403, 232062151, 335332054, 892876981, 760258017, 85394643, 4113555, 464698385, 596152962, 71958802, 788346187, 454850605, 120047356, 516416623, 999972, 895426000, 728187299, 406064332, 782153642, 893692752, 594531964, 563093747, 998362760, 2470949, 745610253, 371912117, 864002068, 336961344, 667200436, 887467851, 596158984, 710380000, 705716631, 400482622, 88539067, 316535414, 348370305, 688635391, 589424065, 608234029, 859934335, 388684826, 102248102, 578087852, 493001442, 828276357, 687740139, 222207346, 508622193, 881707278, 728572102, 175115485, 815903101, 979166259, 882084880, 181803828, 848406949, 754930462, 284981828, 637872412, 927494091, 810928174, 488106964, 842874688, 950530136, 663699859, 136630003, 512462453, 57083877, 794411550, 128563213, 232761918, 342805214, 266664459, 944621031, 144624113, 616825274, 819704090, 110505496, 327014583, 188440279, 952664801, 400320523, 964563963, 873409756, 146866028, 828094442, 768323002, 857632658, 161127238, 315726244, 876211356, 22685653, 996418457, 326989922, 640691378, 217881742, 799952346, 969841960, 13203400, 396902194, 173428387, 214927456, 368687246, 933091033, 162047364, 888555110, 268534779, 628182257, 275119034, 712025845, 924630465, 680414136, 50237978, 82220767, 680036585, 344010712, 809251897, 708560156, 638102011, 197079394, 911366089, 253657728, 986003455, 796774641, 246833453, 948657485, 301873356, 945127344, 13951295, 513744554, 798339102, 741189932, 535287569, 613469297, 253605547, 1800560, 520562570, 277329926, 589477608, 455945981, 710430285, 582489850, 281384298, 503497045, 511891915, 327161488, 815717416, 152401285, 286784010, 905234567, 203714002, 196367122, 711385025, 381521303, 212867426, 808606469, 201490735, 571210428, 411262499, 487552031, 472149612, 303203536, 941803373, 782042650, 730217815, 873280843, 704363366, 274999822, 741983096, 81083702, 612976873, 662209987, 755129588, 747170078, 958476579, 573875679, 158311987, 923340080, 591023194, 125553023, 669213501, 675141580, 358827979, 810069312, 398593225, 214054304, 97179496, 402183501, 704891888, 408470632, 62893040, 850751525, 699273128, 638930668, 777603883, 178499229, 548549432, 863950270, 113794654, 54988280, 904685702, 553679790, 187502790, 168858834, 458023718, 268917259, 187500090, 449289589, 662285318, 596185633, 838091909, 913938334, 254746751, 693613635, 216642677, 822697343, 845363251, 495885321, 601677789, 839062432, 529507783, 64434825, 124296920, 987029009, 680068745, 127374444, 118834555, 2863136, 661605656, 303973869, 290671081, 268081302, 191082244, 105040655, 221594662, 852198801, 990747204, 350369744, 865784729, 92617364, 189209287, 877466513, 464106106, 837478816, 314890040, 99640989, 599094142, 532323373, 141007793, 494106325, 314313824, 494957658, 610530720, 445565194, 977675134, 4162831, 690435067, 304133372, 310901006, 295135660, 509659227, 76544957, 292505392, 268905771, 94637348, 2141479, 591349, 999751743, 50435268, 438766902, 319327131, 943603117, 945932314, 851492293, 353266066, 921916622, 34607418, 535111543, 779045629, 939234255, 704958178, 152340085, 803905944, 851486590, 764036824, 335530310, 141690159, 57300842, 978841652, 654983930, 577948888, 902078083, 11946615, 645331410, 673198746, 1335135, 929713321, 124805759, 781712942, 801702334, 60398301, 295550045, 808315346, 712263022, 893729223, 156088814, 896992956, 445648173, 281250759, 68744316, 111605468, 2694717, 811568672, 308290290, 667784634, 790379514, 893833336, 304567376, 546724975, 930197338, 188093331, 865622934, 437728777, 738051237, 949881258, 582849525, 421634580, 358930384, 433522582, 997444807, 835962371, 80001165, 703265196, 313693843, 883368708, 687318883, 350812536, 59419419, 319853683, 883314210, 730431335, 431816450, 654909009, 180773041, 817249814, 591226173, 817098197, 642037801, 164700715, 903855940, 110382893, 764489475, 786116710, 904138969, 684286306, 70076604, 688581605, 726297464, 875997579, 607050254, 988457175, 346361738, 94055062, 301162263, 468770888, 619303949, 924804096, 795592534, 472202399, 90961313, 862543137, 950915502, 702164228, 31069988, 501982936, 576484821, 123640743, 57857243, 760091545, 365487923, 131861923, 945679602, 968529643, 515842042, 143240508, 66563648, 468839898, 614832714, 379845205, 91238117, 20445027, 762640657, 214381176, 793464743, 326816402, 517970761, 86736295, 495731745, 256670885, 214985148, 644645537, 900415129, 833914612, 367176694, 990901929, 617592137, 373887206, 73800046, 787723641, 530025531, 303535023, 500286414, 183716150, 575715844, 216829638, 579272370, 772185652, 465263202, 183765672, 635682593, 637777438, 992250701, 365940458, 924368015, 368262148, 528051475, 235237149, 81920684, 359616699, 158143666, 716277680, 646724350, 976010441, 999016025, 758331349, 873601511, 616385299, 576177104, 716411532, 404772990, 123753160, 206365718, 556683294, 38244380, 228998209, 361418778, 918986179, 619334480, 618354149, 53220092, 687276283, 665548534, 409701167, 460966019, 728043238, 544502818, 235621922, 974329286, 20768706, 182976962, 427180766, 533108884, 104547960, 159552897, 416392405, 887195713, 782476209, 815802159, 128584236, 120446613, 656565750, 308140529, 80421937, 538256581, 400067688, 586391470, 709818641, 175442272, 776423691, 160106332, 52141345, 187462193, 465280658, 240836361, 953256800, 115517311, 650268836, 211828638, 581591878, 448597769, 653030367, 113127542, 136099181, 935743748, 785003456, 671853642, 314127157, 347543101, 485539181, 337266127, 137005206, 262483544, 89957397, 956274660, 489851308, 509217124, 699870532, 722504877, 687288149, 80958156, 923593965, 218068021, 779683339, 40191735, 904853798, 64763288, 406745783, 149493121, 640487989, 560485689, 776971579, 260949072, 312976058, 797959177, 926147519, 552226611, 840171430, 269432475, 803629266, 424979420, 626903683, 28257564, 449393180, 944641834, 559936177, 678731006, 184083533, 878856587, 269480454, 200299500, 667373228, 924250489, 665721615, 960238012, 6727635, 379260533, 572573842, 385211721, 475175265, 497021086, 358215404, 817942701, 929188049, 503698688, 146232100, 576432156, 410889648, 112733364, 356303678, 842731274, 814370712, 160788762, 126499371, 939376998, 659977549, 402128272, 607092080, 434298277, 967084681, 352728549, 758358634, 776552580, 755540341, 567726687, 530108302, 146170195, 874700841, 121065119, 68045983, 421747073, 583020202, 917379575, 97835452, 181505544, 499338528, 243817826, 948719477, 555265455, 553672009, 200744656, 51474650, 328683421, 629523782, 785899411, 168351678, 668699603, 831769140, 17817315, 425505758, 193139191, 598521512, 848386535, 199706918, 304962698, 941580207, 735919415, 972257645, 100240947, 508565612, 278143450, 705328572, 665316131, 276050948, 588010910, 469642376, 341002875, 484688645, 962061392, 583830187, 309310593, 926272169, 428866272, 354652023, 3942377, 836012099, 842534737, 579243385, 101811970, 675727877, 194676691, 713007107, 633957873, 528418921, 11853540, 74639221, 762966141, 952860996, 948616442, 235546288, 21619697, 417013153, 214490225, 799646544, 574538880, 64608604, 620334747, 313074201, 827563971, 285238441, 967787908, 834579147, 483507992, 548511006, 365595377, 897113666, 681185187, 419441343, 481039056, 701515035, 47359321, 711188860, 771636380, 19611126, 171606143, 964319888, 502443315, 85594931, 666389196, 930019124, 288342833, 280348017, 364967058, 1114430, 975099259, 157220170, 679655924, 242877600, 575757289, 919657510, 744878398, 355892191, 18217738, 903011018, 792775856, 881706992, 423320604, 794069670, 22744826, 317460690, 88979808, 510574340, 283456524, 708836627, 377388551, 823555837, 404458093, 670189368, 217893605, 517860330, 644814471, 193938569, 861430452, 7541238, 352149717, 460773988, 970420740, 126404776, 274799131, 597160490, 469110459, 191452113, 41674181, 665876165, 468257306, 367842477, 77877011, 766812461, 597496308, 227052279, 791398668, 941197176, 166215242, 943538232, 150425716, 794878484, 83852550, 76248764, 820932037, 822283190, 720308108, 963179387, 379901064, 204021943, 955364626, 708629417, 601716868, 945633726, 839883133, 519892166, 86541654, 903686202, 849233582, 671085109, 772010318, 674261714, 832231313, 352999885, 364959731, 467354166, 502094587, 969322994, 25040656, 81269788, 421601736, 536289868, 403165159, 633125706, 66191573, 436375500, 384762019, 8921969, 672114493, 309651440, 264117317, 196012653, 229300836, 419090827, 928629685, 620488182, 154509852, 212913607, 282020715, 816040296, 23919458, 332585290, 39807784, 421912483, 919148346, 114382555, 760429159, 608556106, 272592431, 9053834, 525518991, 810500871, 793745584, 167857753, 57890245, 271774821, 586873049, 348538384, 501250451, 800425893, 673200903, 908156854, 15077525, 577253498, 912815107, 38719967, 689821603, 840208776, 83744557, 12746769, 854356059, 12181646, 858503027, 203999927, 668765690, 878500513, 514946667, 876769137, 462915843, 920628539, 490646110, 617220827, 353842501, 797121190, 616024083, 317078773, 243343900, 433201206, 465311347, 71422699, 621646320, 620977751, 256953687, 768171628, 647404300, 536760161, 590991802, 121997223, 991614184, 923935749, 403638127, 355119757, 252331200, 434433516, 212430714, 322897592, 611649303, 798782990, 701933181, 155253372, 804778446, 486095096, 508308132, 185516057, 82078922, 531829953, 922361573, 561752341, 53546122, 882329757, 229680135, 100915974, 180043077, 734747946, 4649066, 837110082, 151157004, 160569416, 77680700, 191945275, 636200935, 746366588, 984738294, 959655455, 767135935, 128813184, 721623948, 371194415, 917347567, 525631953, 52106338, 765163843, 192607547, 913379742, 962891345, 187127876, 893368590, 735274037, 445718245, 623538902, 824274989, 458367351, 831845406, 239866828, 61216781, 740792994, 552661556, 251975811, 977836669, 198953679, 657600918, 351028560, 725906670, 330646327, 965458296, 246360167, 430574159, 791465144, 56784092, 102906328, 912843226, 733180937, 753327985, 772302032, 95114603, 450698020, 144309864, 614947917, 384920064, 781898902, 468321491, 746076617, 109265572, 773188399, 788684627, 268094882, 200107432, 460856640, 441692513, 891622547, 259011624, 509212290, 197603734, 174132604, 345871572, 981277905, 296265665, 668984997, 369997733, 490771800, 859426004, 954629915, 70508933, 392742724, 669046615, 575801843, 943982442, 351252792, 125208151, 199434927, 649343486, 354794837, 630252174, 213508909, 414154929, 228136371, 747422508, 777271407, 231117820, 138080547, 241423211, 24660981, 382456876, 369990211, 257661449, 125358109, 67859854, 795970385, 550974713, 188650784, 763747994, 120651132, 752872598, 137262124, 347455152, 934836254, 734641298, 723195800, 874312962, 40452319, 750784029, 40417494, 133686508, 255699889, 166405532, 152678625, 303370737, 621360569, 262871481, 954522004, 958894350, 453734831, 858477364, 163704476, 276040863, 708844007, 261808036, 757747159, 865376469, 571839548, 786741102, 138216288, 488206849, 836952556, 331226441, 597548259, 727195858, 224799813, 933379038, 222311115, 198059580, 763091639, 315258616, 762807618, 156958323, 766430167, 390052946, 801085747, 317258593, 817771064, 313221220, 481923357, 216483786, 195244521, 301970597, 878019175, 347649364, 227143920, 485764253, 671382009, 715911573, 176275146, 861348167, 85153845, 182100314, 347827171, 356951269, 417391666, 414547360, 546214212, 403662778, 603668638, 502834124, 853075596, 621937179, 316443278, 244946576, 518623090, 384688490, 840289246, 307052973, 969461252, 433218338, 233614531, 328397228, 356937106, 744713093, 311071671, 265062676, 354362246, 804349512, 621818942, 954035180, 638364979, 900466667, 567918230, 136369507, 725174468, 940771380, 628182590, 525502392, 127828451, 680802163, 107320586, 722847079, 879352904, 67804011, 427032431, 752692420, 702695838, 243993679, 977219270, 89722660, 185364942, 248944230, 830842961, 521142323, 33320390, 84717306, 789923144, 800297145, 927886118, 187890744, 634774578, 189544765, 129015342, 153737705, 628957385, 365099991, 174167704, 828007103, 121378649, 503935726, 384270805, 621804634, 225190181, 468631587, 517802716, 567113793, 826443952, 71195003, 163162644, 484066064, 673227034, 647206986, 854992382, 692629741, 51113320, 362804389, 709591499, 186042154, 599346491, 240168884, 978926693, 682674797, 210488673, 912868543, 115661545, 754348883, 12501460, 706703069, 226475791, 552120482, 845514533, 357882665, 982554282, 411457457, 593984292, 7495405, 227890338, 821503315, 673524178, 423928623, 451996834, 456163685, 548300219, 514954106, 925905043, 212748475, 255699471, 729916721, 112632435, 127778159, 223477947, 466095464, 184224332, 572791053, 270608009, 741375617, 753993159, 664793086, 579474172, 231951067, 658023479, 431332106, 754365140, 388638432, 164011880, 280519771, 501629435, 801615536, 185871542, 455314293, 406509295, 616482973, 961961178, 533425923, 701294183, 515940007, 546133033, 261226834, 50645875, 72226894, 942554354, 618813181, 170313925, 609993303, 865042731, 446998825, 656273234, 965285769, 93372471, 330430010, 235389234, 853140923, 262276171, 576711497, 370941423, 893709138, 295750035, 158846524, 885857280, 770312840, 574914795, 167358944, 377805141, 699519489, 937368857, 756570208, 495067860, 781471765, 18258168, 775618568, 288409504, 138380625, 401571496, 424479609, 632741739, 760874012, 973499911, 412606301, 294615803, 185458985, 534337307, 481048518, 422283636, 489875247, 332874892, 685069586, 863233151, 776952014, 182302781, 511798179, 627927289, 581795093, 857247500, 355819022, 684638353, 599793718, 553254780, 801946269, 231197388, 209437007, 408585612, 124231183, 729927899, 441864381, 485685119, 90268775, 715544370, 247200326, 678901835, 415422119, 853164222, 165836622, 862690615, 229412853, 90676573, 894615566, 566093630, 27103899, 830920047, 891975149, 278489498, 364770977, 548852133, 602105921, 699850000, 794738747, 364949085, 607735083, 508464425, 262147291, 200797204, 781768270, 840329073, 17084157, 452473519, 521346987, 176065291, 356764634, 990214226, 416219162, 136911897, 296393774, 200811956, 317948221, 566102589, 62059832, 667568085, 544619539, 37259088, 761920369, 935370720, 317441846, 772588905, 127039326, 913389303, 650564845, 124756034, 319784165, 920925622, 298540510, 925542641, 610229503, 466803539, 739233061, 879675865, 684556377, 247349489, 666448556, 820967198, 547051237, 878748982, 487998796, 340961324, 938236037, 467390262, 630834080, 599213990, 802071175, 652486501, 86011465, 930311830, 65625327, 929080173, 240323694, 283181862, 27315929, 369839716, 959883729, 466978872, 415118073, 194785891, 443556270, 885326618, 100201939, 311032592, 183147826, 993551520, 402165744, 779956175, 739531034, 931614863, 290056024, 387469522, 386737316, 469126581, 698099004, 647375485, 700321345, 10038863, 406472585, 827217933, 622633663, 505720368, 988041145, 670112062, 500978805, 962738921, 642513765, 4621962, 301835372, 380393792, 155569208, 854365325, 615468577, 449306177, 81064894, 320440343, 975797476, 891832603, 227744831, 592639657, 227362568, 182432457, 344480080, 527249201, 310883716, 498458614, 477381485, 556383432, 996882481, 576267725, 799009273, 919257266, 852216064, 693860348, 275960216, 545670326, 368303977, 787399212, 237314144, 740120178, 544910277, 470769903, 879081535, 435063642, 192268681, 637572398, 164013629, 86077978, 94052914, 640301224, 245846347, 725172430, 770741952, 646324465, 872055719, 356735052, 334377377, 265436215, 809136749, 336446787, 318389058, 747357288, 271695953, 914300429, 216268272, 114685468, 859013212, 721196002, 380128039, 878718673, 311611536, 585506156, 457271396, 758677730, 389262679, 835862255, 48224013, 295105234, 460945779, 436259030, 173327372, 59885531, 306165110, 878444256, 903284231, 115560765, 677599439, 661973445, 746701163, 889803963, 890623234, 302162456, 447920254, 898197764, 574863291, 783583678, 591908792, 910470572, 826406487, 711469212, 40725902, 115483710, 55568779, 59053864, 676038743, 390929481, 18042476, 541362473, 69910719, 411146835, 103686822, 728758379, 510873321, 236263533, 124605221, 12929519, 596542311, 498732104, 35393780, 301902724, 478915245, 703280672, 533420085, 136447718, 45285853, 231770302, 837485122, 607094990, 361189843, 851657971, 404964952, 754432585, 576148363, 618819799, 405174915, 87298255, 772213436, 901863523, 753202946, 255843261, 963562272, 848366989, 786502775, 878178068, 177705958, 322807567, 894557192, 398734605, 346053307, 960916765, 565637429, 315445994, 587177009, 682416824, 746417694, 376278453, 612503217, 726115593, 830106423, 958102776, 953368189, 388951068, 747270736, 453447764, 860586903, 9991163, 121583837, 210906045, 990615624, 46162323, 210510833, 526996144, 980303915, 13817129, 759962434, 687202276, 25931626, 400304508, 58366042, 603759553, 671696775, 956157741, 898319879, 785978393, 756273788, 203468197, 790454803, 148480688, 47330838, 118209117, 100645001, 563092961, 918063661, 446356274, 156823576, 850528315, 520921802, 961200664, 826117357, 167140244, 615734701, 437169593, 443097258, 418614500, 715380517, 866945532, 511793950, 997258022, 531659221, 481453467, 305976533, 368416260, 145302375, 217754477, 424956265, 785141777, 538135517, 133916451, 193914643, 135884502, 538586411, 628619979, 988463000, 357909847, 634809572, 952847346, 631390208, 538408178, 85541566, 302244234, 905687573, 109257416, 111954432, 409346984, 48885269, 486631813, 820601187, 857481590, 252943304, 190513841, 359962455, 555918245, 222738361, 566021234, 660980946, 598103995, 348438305, 330688431, 847094478, 728324818, 299028611, 690265077, 999757978, 278999317, 586646403, 671335545, 992907265, 773375886, 789203887, 187321288, 950513819, 254082918, 85873463, 443881849, 568576368, 423455640, 313600472, 640232875, 744618830, 526949673, 684715101, 627722425, 956786619, 886408251, 390848192, 351828560, 125117381, 736593769, 327244043, 157746985, 877370998, 674587392, 386601990, 465175192, 468879152, 197494104, 999540253, 507855139, 811892856, 183717337, 756130956, 746121641, 549781844, 619118225, 650915194, 588089709, 348947314, 798202983, 394895921, 40420098, 164561410, 182035336, 435959536, 654791410, 917615623, 217038833, 28448867, 527223582, 730885934, 714436004, 968330152, 815433291, 961152238, 162978789, 717332277, 514342618, 754816274, 112802993, 840477176, 353423833, 696223149, 880989637, 508379926, 311958768, 148617510, 953316785, 939671874, 635573014, 698041793, 2090401, 148543071, 435933186, 627107629, 176803857, 637473307, 802738224, 291544471, 730239969, 31550680, 554833965, 437939187, 150697339, 156942867, 544033797, 864347471, 645061705, 519656175, 65126648, 810361137, 939596723, 742977122, 624391739, 702678995, 273056605, 607371221, 585731355, 880776136, 25593310, 560506959, 514394014, 642672857, 457301282, 726080388, 199707958, 677244936, 150285771, 129983140, 396153090, 141327050, 913923963, 435648851, 365001380, 493110758, 70166917, 465374480, 318394835, 631669322, 659695493, 242529544, 440066723, 285904618, 366893681, 209236263, 148092110, 387467015, 921266147, 467694369, 896311577, 571938345, 647807418, 812010802, 327058955, 996536064, 480866620, 38495645, 460752683, 389765416, 58411395, 940751096, 585024614, 113674812, 691736925, 572345219, 809757567, 169404638, 906886551, 159738863, 779482409, 247722451, 460342514, 114319116, 50689064, 532647549, 177707461, 757817807, 505813667, 207373386, 796632240, 802522240, 907123957, 51881847, 279956140, 921535939, 573841236, 766315280, 920234919, 757005215, 872763637, 704196636, 494744117, 396277975, 296307374, 591765299, 346181866, 192089689, 851202199, 758848708, 689864125, 940790344, 383715371, 985040208, 309171320, 59707461, 957620305, 107645189, 117397342, 586312611, 129044029, 8219979, 372638351, 191712898, 994420557, 24283022, 945733553, 413305392, 989254409, 333325158, 607557234, 767197509, 802631897, 463425641, 582605455, 567497737, 515603005, 682016960, 59729496, 893627408, 314284828, 797076221, 670506861, 877439626, 752369868, 198730176, 810932189, 928770848, 254457092, 122836855, 308740091, 891617304, 191520147, 241924709, 387211005, 547900444, 937669953, 246395318, 503560761, 168693547, 228653723, 711913442, 540912809, 94545408, 557984583, 1245078, 881748022, 625176489, 761990619, 114587498, 647809734, 41564549, 227051085, 157593465, 374937241, 105319437, 909149954, 666234928, 359496295, 665351675, 133544979, 975813521, 50670530, 280697427, 276268456, 109654344, 483471480, 298461461, 30643742, 535216927, 157460244, 268673226, 461080498, 272884373, 519031517, 609705266, 347445915, 451031591, 684196823, 537168525, 636681222, 528079541, 696493420, 448119539, 420583408, 642707458, 579304222, 907912475, 984834876, 267924670, 305665158, 869013869, 493496057, 707287934, 367297916, 242878119, 787763095, 692888343, 848194649, 522947435, 510252688, 691614457, 5653558, 725038474, 267917982, 970927080, 714560775, 777596539, 780114500, 128418688, 409984131, 966177155, 161811944, 218581729, 605950122, 696048715, 902192611, 48333221, 300108585, 849556709, 750081974, 531519311, 921586454, 169151282, 780706253, 54591706, 297551124, 513178521, 538794615, 549290163, 624433306, 585924518, 831558064, 276977174, 195390212, 243881931, 694618000, 460886935, 224867618, 19826687, 624714273, 208481210, 388312684, 334899037, 438323225, 981308760, 634520730, 263165737, 53200597, 1999394, 398618132, 401117491, 848815533, 484083432, 133022798, 126527304, 604519033, 354197048, 160113250, 535921839, 572438013, 853904729, 666394680, 4314266, 770035920, 60962035, 646284342, 148076328, 9481806, 431096385, 957009534, 261744060, 258044038, 215682837, 184819378, 568475105, 695673757, 81071933, 87992935, 400223151, 601186170, 717231724, 759361786, 24563984, 965552671, 287563439, 509356160, 735036164, 989412056, 817451223, 159743982, 800142601, 766503143, 81138167, 263344346, 27174536, 675339570, 248550925, 673136964, 746818768, 616594570, 306895125, 136576321, 782373803, 705150146, 583620182, 567862320, 423745907, 458207929, 267297415, 523519994, 20883895, 173086686, 823159483, 732596739, 273341881, 464529049, 240337120, 657974679, 671685743, 864128357, 444296668, 295842489, 133278625, 164737244, 221793998, 267795811, 369622611, 731203091, 482744217, 951847242, 977045648, 715219632, 874427308, 621853896, 526657220, 355094824, 917958978, 622075444, 569638030, 422447367, 690482898, 496339618, 402822395, 726689102, 417078909, 477323880, 151876663, 967053765, 147585035, 274446150, 174440582, 949203388, 493627212, 441544324, 697511244, 488194040, 90684532, 491471055, 707225173, 49033074, 662840348, 62026736, 665474651, 234210580, 985181622, 371061990, 55316251, 897767753, 524518235, 902804690, 329753286, 796531734, 483671824, 642764181, 587038958, 800256519, 386519747, 473850033, 969562456, 56843830, 829295437, 183344344, 624343905, 200122309, 997594741, 701610342, 778061639, 935484432, 635825790, 29787310, 185721997, 616876062, 808267554, 244897277, 697516215, 991922124, 488158531, 842977923, 171956098, 872659942, 874419473, 949136209, 908983934, 747494633, 389936595, 574246956, 911927175, 550388511, 658667973, 529139130, 400774404, 157530372, 64840786, 18995673, 879854357, 144819528, 901819707, 296111201, 710884687, 500237251, 364789162, 692670691, 781499559, 647742203, 136057253, 40877760, 432984110, 605546624, 401812327, 704075525, 943682816, 760415810, 488372329, 204276621, 780909155, 549570579, 324639664, 749962609, 362747852, 630788010, 561312407, 88553019, 935148001, 990230602, 33878177, 429790504, 783518949, 917362831, 269126631, 581220219, 549660531, 286570756, 927915484, 551822462, 539855385, 314750297, 297349519, 884721085, 223396889, 915065779, 176719517, 378124805, 791093421, 161382912, 841208577, 566933216, 454194914, 400917539, 134359473, 370969526, 739567083, 188876560, 317570351, 38065736, 379774550, 627353681, 387315004, 843069633, 208493545, 975294447, 996583705, 680324362, 151573017, 814310345, 974838269, 716270322, 570704860, 284109969, 784698763, 451045254, 895944912, 578827172, 393198947, 256579217, 9486253, 49790293, 381073131, 368145613, 650762095, 441007810, 873838384, 516696725, 326284337, 376396166, 527600180, 328813165, 101098978, 27193588, 239113048, 585344710, 354519745, 771897029, 920810308, 357894431, 468701469, 323919924, 82381194, 270464915, 431102890, 474901893, 436831797, 717243102, 727272610, 499276539, 657652769, 984908923, 47820084, 595719203, 482593787, 165856697, 967152153, 258371043, 565456680, 934093210, 653863281, 625176882, 272983646, 828986218, 734260347, 587053686, 120861324, 647043694, 596054062, 817413149, 465503714, 794080482, 310764316, 356874543, 118988530, 927568839, 403592799, 683321372, 706546719, 472737378, 86278876, 570060712, 307381633, 922471570, 254892079, 825775244, 970579456, 97702277, 708321031, 450421085, 453908375, 568497951, 747547610, 186236313, 648418646, 263353769, 247624271, 649564737, 905787261, 602709702, 620532995, 876488484, 187268405, 335680693, 830748297, 120991470, 90766553, 87948162, 111164151, 661328858, 312584865, 205898626, 822234884, 258531061, 357321364, 15164890, 928068383, 527654226, 414124011, 469832469, 815568, 848217544, 501545418, 67828443, 478410850, 13804170, 419383259, 237761910, 852420614, 422570665, 52350656, 293458628, 726019374, 29800534, 486958817, 14611692, 293978275, 214327063, 604667431, 143696079, 312889213, 325050671, 441677031, 284641740, 217726013, 144709716, 661620621, 949974702, 616654709, 299253040, 255499578, 284238890, 356537911, 86666320, 18958339, 275766219, 326616788, 243838931, 419136753, 952840052, 753741988, 985432100, 438530732, 245318829, 683782613, 628400481, 97889651, 340929468, 598224890, 745027202, 887595874, 300041789, 89590584, 746881228, 31677482, 1671260, 350723593, 11478658, 755803856, 346982972, 536993738, 731222607, 3045300, 561531385, 243423534, 19694828, 371561834, 359292423, 6137966, 352565297, 750484461, 778286239, 174830098, 881976152, 817305520, 598730326, 882119068, 104434305, 264522105, 915911725, 651516330, 51882194, 258305683, 343318582, 867581203, 971367235, 554004515, 304882651, 581331579, 311171959, 956371301, 942065047, 883986420, 321343475, 166843811, 467443638, 446409956, 459454543, 821233981, 753348787, 716214481, 74814624, 521713797, 564221662, 548688728, 733523165, 772429959, 303027483, 751146472, 350507755, 900042491, 934164836, 649105397, 596894103, 604472121, 44997183, 552196020, 83341176, 189832205, 918969369, 658979630, 27463498, 712985190, 752041475, 759393617, 504075022, 31835944, 295867108, 102066641, 43739782, 6950290, 316864104, 454874777, 757219644, 431459876, 394988537, 438443278, 199908797, 418897106, 302260162, 405822694, 987452674, 882352364, 134529577, 104081811, 176742229, 46630185, 611113397, 635298988, 479541344, 521782234, 299698442, 104545091, 99472373, 228319205, 285593215, 219999405, 85790495, 114622808, 85754571, 20761188, 165738126, 99063222, 802223371, 911164144, 978227523, 420603159, 740212910, 73420065, 880554502, 615546232, 627412622, 639541300, 647905951, 326794209, 235885234, 296250347, 786875846, 657286213, 320377820, 580938474, 432808441, 19986775, 358112824, 610893222, 818524154, 254985542, 453417629, 964618298, 106928950, 600374427, 630381545, 579857459, 38545926, 78919135, 237655387, 386990325, 324700885, 996694966, 248078569, 411790864, 692828411, 85340667, 710443923, 592476510, 380934321, 471225513, 324749250, 12484976, 60242425, 924517476, 725195365, 280177397, 794475745, 353518343, 989614164, 197169163, 872111081, 464834761, 776683306, 532554150, 768895915, 62869182, 452437598, 219001840, 302541444, 752835269, 952071863, 445535387, 289310155, 820429782, 237361532, 989877333, 460144375, 448923055, 885265985, 633254895, 530438231, 831244218, 733687778, 27712070, 848740918, 993504663, 326699861, 836103268, 669664479, 310513539, 901522397, 33051821, 632303991, 893736302, 923543055, 834316875, 321325196, 476539145, 685930796, 814224836, 510580591, 459580425, 309047467, 577895036, 597971480, 779788374, 243019163, 923014934, 984597985, 67056924, 439367612, 652797075, 358248243, 444896865, 986724080, 180089626, 397066861, 745639543, 589898422, 365061422, 819781638, 305903225, 757187552, 110266511, 102322451, 812443420, 37885197, 58543760, 91403883, 885580294, 358392917, 987515816, 743332916, 690056805, 360650568, 599156247, 944232572, 141153279, 656226566, 272734265, 334372738, 698043819, 339198059, 237481318, 370691039, 960721406, 523963782, 85646309, 647916149, 861437208, 551171026, 801897193, 597759693, 986657850, 491561650, 430819533, 771437201, 278117993, 853266521, 72943770, 415698551, 660575225, 956009553, 47209912, 634774852, 99368383, 356706988, 95262621, 405257738, 661414312, 713407022, 224992567, 236352605, 876469325, 74205017, 760722341, 489660432, 736971762, 301957772, 918015742, 386751640, 118676310, 331613324, 806378526, 991119333, 593728443, 530840802, 555648938, 845670521, 83163100, 797346650, 132946833, 655597678, 344513189, 148440544, 138896691, 232922268, 758213332, 408550671, 461099053, 299025174, 238560055, 232191711, 1817987, 191828530, 591381649, 291595061, 997659071, 974940747, 414518428, 607302492, 831543466, 286269185, 673441444, 64915778, 832420948, 558000905, 808296411, 296622409, 735203197, 255503385, 616408978, 704780680, 204650250, 492329154, 823257201, 501111114, 335221540, 161848841, 348499147, 540446496, 934363143, 560759148, 448972119, 91870200, 439129205, 667378390, 358492301, 931836913, 614808805, 498068309, 40702231, 817865615, 121361620, 805916696, 302956795, 409829210, 631374752, 432600906, 16225006, 219746147, 580116788, 576951983, 502908113, 675032410, 794783231, 489115197, 270454797, 341424710, 82427102, 12855211, 356104287, 745167169, 103714166, 303830227, 628476707, 599909630, 909435511, 978357249, 804868352, 551400054, 773403665, 571123889, 79267629, 875155648, 624458785, 368702020, 268319424, 670361846, 915551526, 708150669, 183895296, 788572939, 316523138, 526885426, 609015012, 131181436, 344558250, 249463386, 742971139, 710367342, 97922659, 118216772, 112696560, 102920246, 990022819, 412639922, 846961571, 752910939, 819055905, 762407826, 342471250, 100494311, 396911798, 733284191, 338053677, 822649216, 126067517, 492540699, 428338411, 536334948, 742189389, 782967532, 212382670, 933395521, 901020231, 325758943, 74039394, 557012040, 885526621, 222480012, 567430830, 516582770, 587380566, 804584563, 439101688, 247174651, 440394160, 491387855, 536762402, 142136988, 497189014, 316247101, 473509937, 916064608, 723190068, 58576229, 759957252, 943010084, 772799896, 112940466, 739103203, 578289787, 996387609, 735219686, 509621400, 136028973, 897877063, 775495150, 480810759, 21456674, 298360068, 132260492, 205639385, 735230457, 370313102, 431106531, 414902697, 405312500, 633716945, 706694374, 61062593, 293440740, 413103381, 723431885, 78557431, 193508899, 142796466, 897931095, 977088725, 727424382, 284129366, 213429680, 669577682, 158738761, 896511902, 654983007, 755551218, 365390358, 423199925, 351521066, 664859635, 978183364, 839570727, 13018644, 764468793, 629741049, 979086714, 58299830, 117247277, 53050370, 601946943, 178398783, 619087532, 579981564, 482287625, 405347032, 847249780, 99950865, 635527867, 208752096, 139516702, 845189799, 837760564, 894197990, 576706128, 1544651, 325454808, 558457532, 866949605, 790867268, 680683165, 240412774, 414506321, 885108236, 177497100, 555598409, 612299243, 286345659, 108997001, 7773857, 615929085, 910150531, 139658696, 917447865, 352813357, 652501142, 354992648, 900788601, 10386914, 267864767, 479555947, 535870439, 324964127, 93857234, 699776844, 877086745, 642988654, 901591058, 412690853, 4016849, 312797257, 556808620, 804635533, 572467759, 388629834, 182375879, 946286683, 445234670, 79206191, 602483018, 114170466, 134084540, 60512861, 660698410, 378196515, 344604287, 229186154, 333514303, 709149537, 900493439, 510253153, 41697119, 320604531, 693025086, 213796286, 696232428, 235262964, 220208411, 55090363, 800596863, 24931813, 789831587, 952456683, 178613560, 252971255, 330469562, 563181734, 88397059, 173455298, 152663144, 16123814, 61627819, 485448465, 17291296, 443794865, 674778668, 775234828, 235410832, 135808733, 647723151, 134904600, 855135072, 568273508, 762926453, 709695281, 585287750, 484390411, 323261426, 822870619, 182892591, 897287353, 504661456, 444530447, 924016961, 728081437, 243664984, 924572486, 251025638, 338724191, 686212498, 877215406, 111185204, 826421747, 641039418, 74624956, 576053786, 558520109, 732727343, 179533292, 284458619, 257867879, 308118898, 320969317, 914787604, 802078583, 538662584, 680261530, 233964208, 206444647, 581670513, 570088082, 210478276, 62324988, 639060238, 273029911, 775335885, 272463913, 417524545, 786242319, 710805201, 833965016, 72351902, 108426601, 892239017, 905517815, 344827966, 296253042, 620177899, 23355657, 459263251, 606255083, 146112029, 787966483, 783653345, 160214216, 159348261, 968087548, 983867297, 233784630, 184477489, 323759084, 393730436, 151426679, 305904842, 717855455, 211870954, 389512887, 939967340, 827464686, 292841171, 711858746, 823849237, 280035419, 733310668, 173480353, 780896755, 50072720, 301099132, 422404581, 112283209, 573892974, 626579788, 269545204, 765693483, 24323349, 420955892, 65021042, 495388143, 574461368, 271208700, 394805507, 662498604, 221243389, 540635752, 11552555, 437757035, 468935726, 796395116, 487656707, 676163936, 957464568, 36341008, 600765927, 22269158, 457774320, 288374091, 684238912, 849092960, 920036957, 819668243, 800336675, 499168444, 198746084, 817569420, 928329969, 970952489, 371589027, 338448022, 322666312, 519717851, 836959947, 9907794, 164097761, 568042632, 214802858, 678004381, 286430637, 992570100, 19181444, 328729739, 106912533, 606890795, 514694449, 727331789, 895839911, 133310644, 282861013, 623071057, 321350826, 69212367, 211333458, 580717296, 812997605, 81749728, 892522850, 768767813, 425503954, 409886412, 822138490, 433746007, 869070715, 56420080, 592697351, 107561631, 514005366, 38650225, 84139808, 768754096, 566777322, 177010647, 137383859, 385913398, 898303587, 121173656, 701421407, 909058585, 789727755, 977834284, 897310004, 728118369, 335470792, 943511050, 187218921, 22237963, 199497241, 248501038, 659575342, 104235320, 707879807, 720256815, 245061071, 785113114, 537970925, 715267859, 379679188, 685593418, 327450899, 392708680, 920630492, 733288766, 300327675, 476548537, 998639217, 923660646, 436439263, 324205976, 363175755, 403534005, 306883173, 824310396, 869879941, 667146023, 280031840, 796016291, 635041725, 658742833, 491657165, 355680472, 951726916, 989540942, 836326717, 939833070, 776847186, 193289702, 294461967, 82619850, 60860300, 928043127, 477977493, 165710566, 914365462, 995980341, 343136032, 90233426, 13611272, 689526356, 35978899, 463981796, 140801006, 248003145, 835321405, 185337412, 108398161, 548024918, 989149461, 645307252, 5380836, 807797564, 579106795, 568569866, 380465425, 459356618, 73767856, 677892960, 80498669, 195360366, 426103484, 175682630, 437987181, 935069036, 538799809, 633909954, 572302817, 915471643, 388207255, 521275395, 337693106, 457889018, 563778715, 652140907, 179411958, 698562073, 240774992, 248786612, 127023438, 545360499, 746832250, 18170699, 884502093, 37303660, 908883082, 571785310, 411771820, 872055033, 844081775, 704275894, 824096395, 219399712, 378445714, 251395519, 477617293, 671973887, 241518783, 131090990, 840446445, 301177165, 156210240, 333022958, 3192731, 774861298, 155986388, 453267852, 711617, 585630619, 92659602, 864316340, 848628522, 666863156, 830574466, 618944857, 425474008, 505299663, 815220718, 740041383, 816214145, 316019340, 804849617, 420827506, 519546947, 876049795, 654902817, 876630641, 700978326, 61530120, 330465435, 333651301, 566284668, 592549604, 959626515, 583213159, 66395963, 568617965, 686315155, 453132358, 857906068, 687295088, 294060863, 799289154, 162757154, 790002739, 454480043, 12666978, 679801166, 599229628, 468751706, 762738123, 283672244, 977248598, 356951064, 571646189, 264068791, 821903212, 410640238, 256179732, 63594737, 600067230, 207051349, 182029658, 607358483, 177033201, 997899168, 500069399, 168505395, 629110123, 420424144, 949551131, 824165771, 962777584, 373208997, 104090816, 478923170, 221077798, 128570961, 145912960, 981899230, 60583643, 613766096, 1704574, 604542383, 337869993, 174111551, 410613409, 155887035, 686942662, 419154768, 737721345, 44890188, 916593602, 880865502, 799817608, 558378465, 588022829, 569707550, 272090928, 175588406, 299456067, 180850149, 736410209, 671269631, 242134254, 906977065, 841192968, 199781523, 967150392, 865105712, 131942856, 666160659, 537660061, 701040502, 858137778, 88251599, 59142484, 497908243, 420562638, 249311640, 332130815, 807185532, 863987388, 947179332, 127268110, 518677718, 161060094, 359466166, 718661099, 727113483, 511171308, 903610218, 462561052, 600765720, 635185715, 276648126, 590569311, 681268148, 438630396, 350231744, 445486599, 443257589, 788480222, 762991224, 810693551, 896158308, 855827168, 525317748, 392913018, 882761310, 374639594, 232477023, 715726557, 436772744, 358878379, 17279390, 718235166, 551026601, 16838031, 683542014, 67677216, 456065639, 59106736, 66888627, 643899384, 388907818, 965992430, 26921542, 666826256, 105915905, 888572779, 840736794, 863811043, 832441302, 720893853, 79070635, 342743427, 94954376, 642699742, 554968969, 205747997, 871813874, 810011651, 506289750, 83954973, 580467563, 920314194, 527676354, 731374748, 844149064, 276493967, 834314076, 153922382, 807715001, 863117700, 765815888, 961303326, 43293397, 497534953, 693587206, 576753720, 827608656, 167038898, 983166250, 940898066, 580051199, 295106261, 936367460, 983087843, 390323296, 774586152, 959280941, 50388562, 17108282, 218667944, 37119529, 860389534, 504823166, 334476837, 581242659, 918610637, 915545032, 576129172, 800041069, 888808157, 506169091, 514238320, 192770097, 742851950, 653218561, 862601942, 937673048, 673646485, 528496788, 276167648, 318434198, 404859828, 347834846, 841740970, 261598341, 709685785, 158665761, 210610216, 974277618, 879362040, 223843324, 257566788, 536845835, 889246647, 871100347, 946409423, 538941836, 726499714, 660724271, 541179202, 555749001, 328444583, 718498314, 297905562, 841721146, 514883199, 654448574, 448772690, 463082476, 707397089, 437957552, 582806768, 424830342, 56561623, 915601750, 845299336, 768261243, 635349170, 531202771, 842805375, 912631756, 729413261, 566015887, 203395006, 152084576, 90083875, 374147403, 720187669, 688348814, 916734377, 629750449, 95008013, 605543380, 120281466, 494826355, 466611294, 49826449, 747315403, 327553847, 305504744, 139454721, 888716440, 43628456, 185168169, 836217622, 934062024, 31766705, 798153732, 101884301, 348885886, 514183471, 455548953, 107462261, 808531539, 280852421, 628700475, 84435132, 611261531, 989400793, 884409089, 692742388, 204609641, 882063510, 881441942, 753210155, 940651702, 24763471, 195303566, 576116323, 93592586, 832954372, 339386750, 237905318, 117990678, 934190248, 166452142, 818701956, 119401173, 232848221, 920740642, 857001042, 34081986, 524146605, 857196076, 827946374, 906377721, 698001261, 552206023, 97130879, 462926775, 264444091, 546330635, 800180925, 198396135, 918926477, 701060133, 752320110, 734785984, 411488958, 971484854, 383551877, 752918602, 941569865, 883207445, 548485186, 449031696, 462537437, 333062187, 954513523, 483093646, 374966365, 480652023, 225744180, 374507797, 202142202, 448806093, 907710935, 334208402, 919195597, 968577397, 544733620, 56788784, 816525405, 931349200, 659904337, 629075944, 425844170, 806175794, 788368617, 235999955, 309925724, 740664421, 201650903, 495807744, 501844093, 628316455, 989669215, 175739953, 31203847, 719606206, 455665501, 428689109, 851849941, 852443290, 873361332, 181885293, 955514550, 988539784, 655876606, 852593033, 293481642, 847715147, 276057490, 608727799, 460475235, 313040815, 705197766, 210492388, 750709646, 759695660, 430703017, 989648185, 868221080, 808064785, 899239079, 704999950, 660618662, 761253510, 509031607, 847917617, 70558722, 335503018, 477792329, 866245981, 401683292, 212256839, 844122200, 714694192, 345986851, 96248716, 127350197, 144603685, 79181316, 858694947, 753769716, 26220105, 204871252, 672392670, 82522465, 164520551, 957209211, 553679097, 580854539, 277878716, 547693500, 514218627, 818265363, 600319116, 747760708, 472725428, 391037914, 412128248, 593680918, 891532586, 294329528, 427822056, 501022770, 295664308, 943725404, 755817620, 535354008, 11017185, 336883678, 280146552, 54079751, 588111275, 15992588, 213874832, 808488789, 406348796, 97034570, 108947817, 378397859, 690286005, 954829816, 99157173, 166689078, 854331783, 838084576, 435662454, 612085307, 673654662, 75147846, 161548628, 326791458, 477813933, 647331091, 577296391, 295952584, 66197318, 393128935, 696336717, 399292929, 763429637, 310052515, 215206090, 625221014, 684133843, 331354319, 603623268, 994760022, 62016666, 458400282, 219704557, 369903352, 800805722, 233454352, 175605277, 711727316, 179686051, 761614073, 479787393, 261380186, 960837742, 816343412, 634394062, 157288630, 352983269, 349275055, 26795648, 954228347, 629550368, 598617059, 181374741, 230060676, 424802287, 268551523, 807032535, 379967023, 590771285, 935025334, 993285194, 882732089, 861216268, 304980336, 986459522, 365875090, 86237315, 770330515, 522400230, 113213622, 533150057, 290428017, 779254994, 749132961, 203101591, 699463446, 639376477, 369639288, 201884237, 976639004, 256689264, 851438110, 174283323, 759321804, 308508794, 2641050, 356309950, 62656215, 591763680, 463510183, 980362619, 799784418, 597425837, 37984058, 313691434, 32715280, 741132545, 260536552, 17692658, 893581230, 911043662, 471682327, 150964071, 707296484, 98052501, 741516705, 823661758, 298305573, 123465009, 136833896, 954182432, 874997070, 899589771, 993801240, 57841530, 774123521, 844648525, 745311138, 596437631, 375887082, 351162903, 398863250, 429145734, 171314145, 206421469, 553903650, 64749430, 642456760, 929592674, 690225230, 912568402, 677796653, 473081415, 712345919, 539176745, 877420683, 753714876, 155390656, 634734065, 841966671, 663571948, 259134339, 656289662, 959329587, 444615906, 803538188, 376463781, 973787486, 168961667, 129840203, 195854600, 550443823, 255236370, 869376438, 258788427, 624853363, 939937060, 362521401, 153930121, 990859704, 791213959, 747086955, 252210545, 157643522, 449629804, 248982371, 787803669, 847305837, 460872674, 314998004, 233270851, 69826095, 647597278, 862799271, 679105054, 614067195, 591477176, 917113307, 904348797, 139575754, 750499393, 371469229, 66394491, 370339657, 538376813, 327033342, 285305454, 674643841, 593921326, 978741197, 948105338, 229476931, 278774346, 250151123, 910213313, 53520620, 665378284, 63779821, 214883571, 906262472, 356464534, 673925836, 196690955, 687592524, 863874764, 652928405, 398135640, 834915701, 625643045, 652912977, 814090269, 766564535, 224234676, 971335307, 123171080, 307217403, 557644892, 53264559, 971389133, 876581401, 934745648, 555155525, 963435006, 195775102, 682907985, 981717791, 94216379, 310740026, 404780160, 160283648, 95444782, 169591799, 281603326, 275953513, 921296683, 970219128, 553537263, 298820940, 457694561, 951979696, 541214003, 510519365, 413700148, 931129961, 243335180, 736328971, 233261882, 439446039, 882547797, 540764542, 514526339, 134850776, 200391646, 651868592, 382279479, 935875724, 877617759, 572595896, 995052720, 973295517, 964110182, 913612007, 102135949, 656121827, 422993932, 835829017, 166092249, 288776127, 276690713, 110058051, 603842075, 113472297, 68366535, 938477478, 829350257, 290639243, 619537103, 558708497, 768801187, 283772683, 987982459, 408636947, 745899067, 101782812, 431655731, 437527820, 589871400, 214773545, 460094607, 171243912, 980061389, 803633262, 237370246, 483819720, 196500613, 521653090, 724829968, 205342455, 656874369, 354589005, 277684221, 928931955, 465169941, 910125235, 701348885, 110193431, 672533254, 334598773, 877982886, 577317872, 791911850, 864131569, 710977516, 581038246, 99642295, 53434854, 368818996, 919064064, 999272409, 539745108, 919349483, 774944560, 394732037, 588775784, 619090295, 148962539, 284064762, 75930070, 189345958, 453694351, 338475981, 794522173, 30917910, 409265335, 36401356, 375160600, 112189260, 837124875, 619673644, 543635791, 128664481, 616156163, 780678526, 345225407, 734551172, 642137234, 960791972, 507574085, 906359548, 703741823, 251593303, 791465404, 682577470, 116071495, 193186232, 144100028, 387970188, 637741797, 391194007, 264099691, 763042454, 885469609, 138966615, 47472170, 205178599, 934606528, 436997396, 408573265, 234388636, 388670164, 886064864, 444064101, 593700672, 155433530, 860604663, 697938220, 361408630, 421064305, 460528208, 847190525, 465306373, 289005051, 553608264, 508705405, 349737155, 286720847, 955998673, 512047225, 117862021, 695433571, 394540682, 594578731, 547698104, 78411406, 11493245, 665670925, 608491756, 714312296, 845651833, 555416905, 640037140, 821199064, 807146291, 864420857, 831675931, 18975897, 460196759, 729804047, 503233402, 136500313, 365918038, 178142829, 731644862, 143216052, 256243121, 424978755, 620407129, 348125360, 755308440, 994655435, 122086927, 732262735, 160658739, 307139475, 215712208, 387534532, 973153455, 218662538, 477037678, 448459119, 240755316, 141469232, 817266399, 88893301, 827487831, 203218335, 524202113, 147686094, 279580288, 450705682, 999701291, 252787032, 359752382, 551463117, 348869899, 536654088, 762021601, 682483285, 531960615, 325348244, 698974225, 707341267, 780686446, 378759295, 892857197, 499865853, 74128423, 650841757, 11907721, 929160190, 680647513, 792946797, 500886976, 373001739, 616475234, 430181532, 674267633, 256704073, 795616101, 980153184, 28357814, 385254319, 38800672, 333785017, 315744598, 191529905, 86877308, 419636228, 390248046, 936795001, 825720352, 423938340, 819543810, 279253135, 469582583, 38516615, 197309555, 381697150, 488987534, 393770102, 233908674, 778804400, 103432168, 403538429, 121930884, 847646392, 774249070, 980666671, 922083956, 892228514, 102457242, 300730026, 266614747, 682893084, 691866236, 580610436, 814269609, 512681673, 677014933, 550276223, 637680963, 684434163, 619834096, 245857594, 714265123, 856733739, 246256222, 248592283, 979515763, 303611908, 988574077, 887467141, 19373924, 977772746, 678706289, 66846674, 534594219, 743737393, 717946681, 380924214, 681173479, 713076473, 438389436, 421190702, 818266030, 667186569, 511428236, 637970608, 499092406, 882281418, 767926321, 988423697, 694833045, 197643368, 202505976, 61947449, 336469873, 785431239, 390533053, 423575093, 830222155, 883806455, 590968376, 256537761, 655003821, 486095004, 575759617, 760315056, 960952087, 923708018, 452704159, 825949596, 359810359, 49493162, 420856954, 266520268, 740202125, 559410631, 650852982, 24726626, 316216951, 24244661, 240596452, 378454289, 881536202, 567873759, 734940375, 934396077, 605892189, 613151050, 568926924, 105894907, 263593499, 231652026, 251039401, 671649415, 125004997, 95815095, 996413544, 687288362, 2399173, 823134991, 513047985, 379720803, 410861277, 802922596, 106074314, 174011761, 930638222, 677301431, 405367220, 115095629, 423101505, 376896422, 617607859, 69144422, 702808142, 776313913, 153175789, 654898839, 655286068, 733291151, 36206238, 737928218, 159276284, 690424534, 893896569, 613207822, 878724738, 484139067, 221190027, 288314688, 416084474, 606936568, 526090221, 303598561, 767242888, 743342646, 724223412, 871641745, 1359147, 144477282, 941808716, 537031096, 27317344, 720412871, 349578755, 637987232, 27701068, 184347079, 4786174, 846021676, 630418072, 80726181, 773739771, 276705764, 363519261, 11512557, 820838869, 547395246, 13444223, 144909261, 637822178, 639890846, 281278494, 584124689, 410382350, 469194336, 995146579, 281539541, 86175915, 39161265, 369630055, 200525863, 893767504, 556201119, 445225443, 311572532, 973592667, 324496299, 744744951, 660424814, 876678148, 431769353, 909736814, 493832122, 387633548, 58660654, 788948124, 82107135, 328907354, 79146663, 835693550, 720261614, 142307710, 944140810, 913452187, 884212592, 929337701, 894418998, 757154956, 131082993, 688083262, 687376628, 790080686, 494345503, 897813780, 797428220, 924602452, 47814769, 948076101, 485364400, 619155838, 294327034, 338201043, 291419511, 368283810, 70206647, 637553876, 35365943, 526242086, 981154520, 713814138, 594943956, 27327393, 487465426, 892648942, 376915531, 157583370, 639277155, 619652717, 216921520, 811392725, 47111942, 583162248, 602902227, 409084591, 86603101, 794997606, 169388884, 861716407, 979949901, 778877503, 956745577, 573844662, 330943889, 126631974, 616273247, 196812767, 856687346, 732757928, 519791431, 164296175, 770960496, 192578975, 144300610, 885950222, 739681293, 167644227, 184526169, 159088228, 653750573, 572134596, 698276287, 127457217, 559150521, 741590131, 33941000, 273629097, 228065917, 878810163, 520024570, 587907099, 846466038, 485151134, 947548574, 648666688, 886042641, 203128122, 699181585, 898831122, 385185567, 388284692, 562487968, 186433825, 51217373, 722018921, 50310262, 73762295, 37942011, 297786429, 196729063, 886638967, 238658656, 181219359, 371951954, 466281427, 684360955, 476516807, 267869140, 43592724, 318663536, 447577144, 940021573, 426513430, 627014655, 801248963, 976887832, 859104733, 715180943, 672502860, 145372525, 7587744, 808082184, 878689134, 486669326, 346028367, 83158926, 261715493, 642791974, 666754414, 712889664, 582420031, 862331931, 255664453, 734193000, 812613141, 93631877, 951058179, 395614599, 631192176, 820988680, 760497259, 407274243, 740216507, 691389562, 407577658, 304974010, 699405243, 14979927, 974503185, 923084548, 815387539, 920182721, 65929804, 202016378, 585405688, 899511295, 277254326, 758456488, 356541325, 661452959, 729807051, 540698731, 301357818, 808206170, 787714140, 823222657, 758326, 489501282, 992665762, 548692956, 313877546, 453418512, 838587084, 530027872, 269832277, 654506177, 114283323, 265286235, 377194629, 562367442, 918629767, 845974478, 126932906, 751041799, 662812209, 886987394, 70915417, 426904323, 40182667, 76393896, 315507838, 626794494, 867229843, 697541710, 212781647, 494560644, 586082943, 869444833, 64529997, 903233421, 265272640, 50641756, 98144061, 516309639, 561354276, 1241060, 815840353, 285669350, 222757985, 737037860, 690493989, 678305246, 189567894, 523068873, 555585169, 276541045, 403824355, 329346905, 265401828, 993860252, 31730864, 530914274, 999463212, 929372114, 336226354, 547197870, 976121914, 377710750, 676899270, 456367935, 965748398, 565689751, 246932079, 213280792, 778280483, 466551591, 687657822, 866343691, 758805867, 700999127, 949583872, 810656148, 909103020, 493586026, 124518593, 652633017, 571090595, 488751804, 259726970, 44334406, 445736121, 964206945, 357597806, 55348884, 889926562, 513527036, 529719084, 113590076, 550093319, 651523523, 551968830, 215140960, 61621264, 484701539, 263782843, 141735988, 836449807, 586756709, 481318146, 415294332, 655546062, 429270980, 563960029, 544430013, 474670294, 775805750, 712207997, 854762086, 241102115, 280159460, 119563747, 633998234, 310632073, 409370322, 670403338, 996972397, 578190057, 905592068, 627600500, 682666375, 756095951, 899016185, 161607268, 570512200, 442615821, 337613038, 799628100, 532445407, 256432506, 353305096, 287124812, 746365215, 814014246, 245247540, 543071564, 207049014, 798409292, 489597702, 648298216, 54320822, 426258908, 837313228, 135091074, 723387175, 143528304, 321308667, 702518826, 336658910, 234579543, 582784995, 846504844, 824014809, 999321984, 756845481, 842017001, 548883982, 171782161, 531679989, 379890992, 600141213, 977138498, 581120468, 402231604, 833787406, 434343310, 491502611, 93770247, 37631531, 43263409, 281776637, 935502493, 198269401, 702353909, 673771829, 413687828, 658862922, 533222996, 210185529, 50632319, 991493715, 7004163, 829949828, 934300249, 230711221, 200794950, 835193552, 568835271, 636927687, 859713539, 719663912, 122565904, 561737258, 979270477, 504060841, 435651578, 795750278, 365286032, 404861357, 29374393, 375782098, 154680545, 699710683, 944541068, 349368795, 555927942, 145463214, 371532782, 131871177, 242958410, 198517255, 485133651, 527707346, 41042364, 730569357, 349388230, 843206665, 367635941, 746358043, 139788526, 223772271, 123877330, 294425124, 854254920, 523848778, 360481945, 211217421, 549351937, 802355802, 242469909, 711416224, 825197371, 905371525, 591566851, 759871153, 857783078, 735303743, 269562034, 228372153, 18364031, 375681226, 562280279, 124985374, 961273928, 106751295, 34710970, 487938415, 802949307, 826592008, 657032380, 425482637, 243985626, 953205725, 523006441, 464963779, 775542741, 658529683, 777323353, 434972761, 560217221, 71832268, 691211741, 558005844, 282638332, 844142504, 652415037, 717303812, 217240466, 288818332, 846088553, 57580257, 765574394, 53885671, 599604101, 420474104, 524659312, 30553438, 884351708, 109328534, 910647625, 358185870, 73987102, 229496598, 534177476, 757888590, 731649855, 429648858, 787601976, 719435874, 526184065, 511776042, 259622198, 748465473, 811524339, 783158461, 628188955, 211249512, 460759309, 314649882, 394187580, 357163156, 111020311, 301203040, 551455298, 358476241, 136398143, 159077166, 209772568, 734266334, 933910745, 134348501, 267015447, 191834955, 302160647, 877641974, 457885199, 315488877, 784373067, 457952867, 953928713, 14227146, 672402766, 822389883, 906764259, 705414997, 27013677, 792408410, 979764593, 190214166, 684633560, 684601098, 697069139, 422981239, 476775166, 993910660, 543528162, 386953677, 267846200, 108898458, 123580342, 820218190, 147768419, 91801463, 708357973, 482817139, 736551990, 289925336, 116971302, 182927790, 63407470, 209471088, 669049020, 941128386, 30735245, 408490791, 3907014, 150406015, 719620746, 31831897, 186415387, 15010954, 851726842, 545401636, 1061595, 260266439, 226863414, 748056551, 368062603, 545826171, 830410778, 783681331, 340584944, 835329710, 941446401, 283184656, 241722169, 308833460, 960005550, 272646794, 374612865, 148167146, 312454619, 487784796, 891176216, 106505593, 315427404, 731972321, 243778675, 985640602, 90309819, 433529001, 582098231, 949727249, 356783478, 719452198, 665264143, 244422805, 149246914, 996666078, 95224846, 809873695, 254255447, 843504264, 121878560, 526104920, 670705096, 190589707, 648386439, 125353749, 63236637, 867200670, 241432791, 252974335, 583940404, 524607408, 762382843, 203959361, 507650136, 191215246, 395532935, 661318259, 310271342, 997187035, 184757833, 817785248, 680017810, 788476255, 132230152, 327865162, 396471444, 260061700, 591118063, 324818262, 130051462, 598576959, 888312510, 919013911, 498673820, 171388611, 729397402, 500823731, 317594831, 905056636, 762233536, 270193105, 718828879, 735623051, 253345552, 502411444, 83972171, 269752228, 68994413, 966763679, 692149605, 137492797, 244069944, 961435949, 446558148, 617574735, 245262491, 526298357, 98802338, 360104749, 683632015, 246158883, 758500140, 112307794, 893531231, 400226798, 525487316, 765188822, 803969167, 978987436, 234338605, 477255301, 780499236, 748416215, 549887236, 426344070, 250649381, 491602365, 645959900, 522507577, 107317277, 946273306, 272095517, 521975296, 308446610, 692043909, 23748453, 312184959, 310148759, 776413426, 768560778, 532265386, 482244843, 291029624, 779855267, 268736036, 146393241, 181997807, 912570425, 752656334, 867357611, 825091054, 740835837, 125985114, 244449188, 721722408, 871975219, 298634433, 177580640, 32925673, 687462229, 684060438, 475402774, 303047455, 521132371, 765511786, 196370431, 382269368, 152708521, 611058046, 572527464, 829689370, 441033762, 379227731, 946707049, 222291890, 682016904, 935416592, 25671644, 528056136, 73368238, 995687522, 533759792, 539434133, 428585946, 783533652, 444814075, 831217225, 287898744, 99431486, 262912120, 198849987, 869884693, 563445718, 737420484, 818140263, 989100375, 710973559, 9252216, 5130747, 398282759, 366063040, 332291531, 45768850, 959943933, 31335120, 598701297, 389189947, 385757933, 187387056, 332310, 160748489, 959682373, 338386105, 137287338, 883389119, 689876352, 314729437, 657021334, 979261960, 107449043, 930904206, 807590296, 922453176, 734153532, 971276235, 765817794, 797090236, 340405868, 530972905, 183253970, 114585716, 222115108, 431012093, 647369474, 669344679, 569085196, 375567660, 775970510, 721916531, 729344373, 906072491, 88603136, 491297163, 682371120, 214612920, 123673103, 825541371, 842079180, 107784489, 246027068, 469416843, 192399675, 241544226, 580744227, 27177043, 496959334, 490487155, 945831092, 138071151, 102960491, 699087652, 286314031, 103417266, 410087329, 417201823, 182316670, 670290103, 622755892, 525694442, 486026872, 556383025, 322312625, 34743112, 14320643, 157587079, 686078404, 486821809, 297519644, 237913609, 758638609, 803381736, 6080624, 560993758, 989518697, 120793681, 289992266, 171079899, 475755469, 390112420, 949771270, 125859907, 845514253, 48484200, 145488666, 368398426, 307209228, 92885278, 542449224, 436064108, 485594860, 284240332, 33699602, 75246796, 231958211, 356672655, 455582018, 374034293, 200461198, 340624063, 997155511, 648087626, 666858793, 450077716, 40746079, 63796507, 143921665, 182438762, 733218927, 583514074, 838299714, 39166921, 323719461, 942450321, 91070488, 284196760, 865172073, 432852250, 279993823, 791538985, 532034256, 700415783, 287994390, 73492940, 348717436, 529017756, 870896681, 917214773, 413916241, 41856566, 646143104, 62299416, 451718045, 185485503, 953447917, 708741762, 369761225, 341417818, 430621847, 154774977, 896609762, 822205581, 545675251, 796514621, 665819708, 889677251, 708851578, 80147835, 588546166, 415870577, 893155126, 879011177, 386757210, 848874017, 934123973, 147197377, 424273533, 589499875, 578440681, 6964109, 793625609, 337967185, 809814615, 188726984, 558071747, 639178521, 561972153, 726730842, 983135540, 2081235, 879284471, 655033708, 767757225, 249231267, 79265248, 749978881, 259533640, 179433036, 140538681, 515794177, 200457670, 680764716, 143609110, 641866525, 476932301, 236755911, 539515176, 116264418, 634053582, 57144860, 997881970, 437243723, 12714765, 791692154, 688127069, 535806545, 107638375, 935151876, 732803384, 907840686, 393087822, 847402969, 346267216, 254734569, 876849878, 841113036, 608367597, 345094706, 781897674, 956234853, 887605863, 250009302, 400585554, 85949680, 579245272, 622863366, 112067211, 62209796, 30014330, 348441414, 899454508, 786308330, 256787752, 549606925, 526350735, 796728684, 523894677, 592034884, 35143740, 561224653, 395765641, 23966086, 821570352, 944838230, 150944462, 690227106, 170911052, 690070288, 753374713, 338005657, 861597927, 595595196, 488362955, 43976271, 89517478, 601893084, 144622608, 94229513, 689266509, 691666613, 794870550, 722878901, 744170154, 500608235, 874269136, 189032448, 388230176, 670274735, 960101893, 653734062, 436269266, 320534201, 175400475, 503643675, 214029342, 155717636, 910080848, 565475509, 77912777, 68135389, 254624705, 326451334, 741136630, 263110111, 806045676, 494212789, 227212256, 587000885, 880924939, 328699997, 48505712, 73942177, 894452173, 932775493, 689822875, 29714712, 619289015, 74799073, 709419045, 837376264, 151113971, 450229339, 417470505, 680272047, 295353685, 164843334, 799340863, 715779216, 479778783, 19904260, 437709233, 531419012, 638266498, 234817123, 387528303, 874016316, 624452229, 336784171, 207090673, 461678711, 540897196, 352168086, 99904403, 450815152, 234159037, 775482149, 589577422, 974673284, 917538713, 533343512, 633369107, 404138498, 879132426, 862242479, 897989840, 154760470, 103299465, 332371258, 99732054, 18281397, 160300561, 838747316, 194107377, 427177743, 126615857, 700019034, 993276356, 972115407, 838484213, 956018065, 55476684, 347330609, 503111515, 986984970, 138162465, 926072760, 505061305, 52666810, 979756838, 925326109, 214731139, 842694911, 338155808, 837670785, 474724318, 835846570, 547003355, 647322791, 831906599, 201659348, 174527889, 846962649, 852282039, 18974496, 395477248, 601682022, 671303428, 626467046, 310084851, 784616394, 212654772, 384217618, 14361168, 109264045, 570916841, 412275987, 688475336, 360353914, 87488137, 118016963, 878957106, 812465175, 599600261, 415174659, 531428694, 154790002, 286614759, 28608188, 214529482, 936390648, 165554782, 339484286, 773334527, 557239519, 739255933, 234856274, 675835949, 768575760, 939726303, 369730888, 413386830, 6981849, 944504715, 296302349, 357976490, 570588673, 280872680, 406421258, 964055629, 103211165, 957763774, 554260424, 471451211, 511550985, 657495785, 21239963, 737955568, 125350060, 536128852, 684890347, 832296231, 534235617, 73336188, 144466064, 976738662, 361311321, 53261981, 203912186, 59993215, 37822164, 598695243, 447458634, 75822046, 696465340, 151167326, 484837784, 700700248, 635715082, 937199336, 116093508, 408718130, 141865086, 30242427, 882343778, 107509795, 549084528, 113031379, 827957260, 207447611, 79160556, 157206423, 325604057, 431118524, 332570024, 132828109, 194153390, 16285683, 597337757, 141537578, 597164954, 644819414, 548487574, 676439973, 887155066, 408766075, 374064251, 627280172, 881583908, 686476007, 260488690, 459543401, 234501636, 767151121, 767286150, 304516992, 899451753, 413666127, 81381068, 760811276, 11682851, 229369427, 443928257, 348920485, 114412414, 824639638, 320417292, 719604033, 208099192, 661792873, 355604755, 489208379, 720177760, 767727266, 801967834, 697934799, 373979260, 625449082, 900819067, 524569770, 968677400, 959519638, 568653859, 889318694, 392277899, 572394329, 563721391, 78280642, 277687371, 634812929, 383653244, 1616646, 341182599, 767499673, 977704935, 455950979, 797182583, 692821049, 903203194, 740271495, 894536712, 85290179, 42844791, 644749591, 757718515, 612949254, 458091034, 831395515, 944748208, 536173620, 812307699, 869672483, 715601222, 22982600, 957516465, 130948594, 608865699, 431473383, 633367288, 151337003, 715567693, 831616464, 250093093, 343893741, 147873990, 367153030, 315137205, 851098290, 443492342, 41075170, 721717104, 461908009, 987971305, 968100371, 71306484, 658917665, 447461343, 198329190, 742103031, 403801750, 547559475, 270692480, 244243852, 958002533, 605012317, 249605865, 627489474, 558646379, 436918545, 758600232, 863514135, 680991348, 102358884, 100736632, 944869588, 864842023, 239080140, 88617790, 580786333, 398371367, 919695901, 569156348, 125404541, 60334877, 512654382, 361118584, 332195569, 899827025, 315075125, 32303356, 159523070, 447797144, 412457883, 59537268, 468789987, 400367419, 382445870, 847229782, 219896709, 35280270, 519209758, 524822066, 3233310, 547716377, 953918557, 620592083, 744937048, 666580151, 884822616, 847930429, 633681921, 358278295, 315886561, 952205226, 19912593, 415016144, 980881829, 189853511, 917642325, 631479521, 576068353, 844964085, 675816850, 435696466, 663350028, 121972998, 346292047, 482300635, 89532418, 406226974, 186090623, 462572278, 669375369, 5408488, 752244415, 850143099, 592811818, 877360436, 816585041, 267807363, 928359340, 490279915, 879454965, 140047357, 162866020, 521186048, 686310037, 896098661, 145718718, 910491459, 239452718, 864690449, 283246290, 256832224, 712164024, 292750308, 33461981, 936339733, 443340585, 621803616, 215827426, 404292443, 578464817, 864099455, 673847716, 698485360, 120501175, 254883510, 23893532, 972265483, 166773984, 688026346, 903074196, 139340168, 903871254, 915962556, 376194413, 239215062, 747637726, 691450567, 614536958, 632279476, 313162116, 946973310, 914098190, 354101917, 333146126, 894716540, 499692257, 695303328, 671758223, 269663143, 553832402, 109829107, 547498364, 959396616, 936494093, 267398087, 803502298, 444148085, 186432654, 568443478, 128036394, 869405998, 676956845, 323497183, 368841210, 331874643, 468833548, 238938311, 727440452, 352338021, 196183083, 923794085, 647620836, 423128551, 566274816, 942898140, 595533634, 373591247, 503450648, 301916466, 8708120, 642390020, 960366268, 417079708, 19505217, 718437283, 994272337, 576266953, 267978380, 620876115, 560503150, 104881744, 588577337, 853021532, 92773150, 331318249, 40110799, 537465878, 99091266, 715165496, 143295717, 559433274, 232148910, 646022496, 753034835, 511186097, 666038148, 21304319, 640529253, 189355797, 348960957, 861505285, 772465162, 106856831, 276835068, 553306661, 594996372, 301654227, 572507808, 78309419, 924568234, 98232032, 793021913, 711613980, 178313275, 248950636, 175842426, 635103927, 648551638, 149175721, 106929333, 681295125, 195268085, 777020239, 545394095, 952433086, 431032492, 33199450, 639097493, 674713037, 373250856, 965884177, 808755756, 799244766, 874813906, 288041242, 972752016, 56146326, 570362108, 935808679, 262328559, 215709345, 919935644, 833924640, 221800020, 449290613, 324667430, 878602819, 535946140, 808444930, 230631535, 674122035, 266791111, 60396163, 921155403, 821742062, 476924890, 361644767, 72403480, 49853218, 747630009, 328061877, 417439488, 441033656, 632159512, 507820721, 522538070, 402865791, 855645408, 573952911, 283054350, 765745744, 537792458, 839929118, 554073294, 59924421, 136721373, 808381582, 364457444, 453435390, 402637446, 753919866, 960999911, 119331766, 251289717, 436669280, 182959411, 756668304, 200061312, 639127990, 595742744, 442025654, 763865471, 45364622, 984634075, 24386047, 285076211, 553281647, 36658000, 403978309, 146293223, 293518758, 39242324, 602427218, 955698155, 291735536, 425142178, 75573636, 460266447, 659879658, 544628691, 943659730, 491755148, 584904449, 414747421, 65881365, 976418335, 361809044, 328089179, 964390969, 950865970, 17441554, 991030273, 339159023, 590015895, 277362288, 697562806, 106295843, 390948291, 632721428, 185630689, 897951902, 142045815, 558379476, 444337643, 44745411, 161987194, 226963391, 911420654, 976080276, 893233652, 868123763, 333580982, 456166449, 553226012, 429155676, 92484550, 307074065, 410004017, 889360299, 565314544, 241794172, 436631745, 174423984, 852262193, 710263851, 260431951, 546490030, 785215293, 503322380, 109051541, 311081459, 531805277, 831672011, 457192453, 741254711, 618690461, 58033924, 458754281, 361402738, 428617505, 171527688, 86775423, 517784449, 258114637, 258639601, 747565466, 130007837, 3824845, 93132914, 233111935, 259801548, 149413240, 983993691, 797668615, 918119212, 64008440, 727563489, 312748211, 806530225, 866354155, 445614416, 903652120, 203652303, 886830107, 140246481, 263444821, 487926631, 642834126, 430543872, 797090506, 318096696, 507881666, 913908099, 11604038, 127172645, 357073165, 927274288, 707900290, 399462925, 207720041, 369532459, 713115912, 435903218, 890799763, 359602672, 936757949, 53399469, 863989773, 753734723, 212994396, 614085, 891786927, 370823381, 566691107, 718646251, 442898749, 452139134, 320961586, 354088058, 468086759, 706349926, 53032139, 599933231, 446990631, 444222755, 372571834, 698225119, 695399666, 773574399, 357184755, 776504072, 732137473, 709119495, 636698340, 844173280, 82185779, 539007567, 9446286, 83539706, 442043065, 112979215, 770200179, 968899491, 858582385, 360788009, 591691548, 389559186, 336045146, 534624429, 59063331, 715080752, 113577201, 987124861, 641187180, 724691310, 213828395, 360706711, 719910163, 856165805, 996203522, 952128882, 703174068, 232818133, 634861302, 251314743, 576130620, 891228599, 486125878, 347373354, 52345979, 128590367, 623188252, 624162653, 962840768, 191294364, 913331870, 154984041, 100738988, 965337639, 66372124, 819650510, 474557643, 236107285, 789901808, 228091145, 557034352, 973535882, 299116824, 586760351, 919651985, 961388014, 543399430, 766958569, 894780133, 82087971, 590419346, 925531041, 579062029, 720235956, 296886807, 807992629, 614995145, 598264088, 243167457, 397911710, 61253677, 91652372, 379127543, 273371304, 873818489, 180069344, 582614778, 450787111, 439930485, 301994391, 172207571, 268398348, 890519151, 324178453, 49325071, 167737300, 469953303, 494682128, 863564786, 379510961, 689764652, 920206372, 84701663, 536313610, 238050325, 839640831, 596351160, 167564077, 982270299, 970680906, 516740209, 680315547, 485981814, 345284543, 46138708, 260154757, 951418001, 87190965, 684993063, 407087809, 182928954, 86958420, 785384537, 598499837, 497547438, 733147693, 996554609, 483929121, 298046403, 280071453, 182201137, 258234946, 519357495, 775316726, 481500777, 378576679, 213015413, 925743368, 27325096, 807576244, 479734205, 258359972, 967227, 911207975, 265318437, 476009591, 667104769, 186032845, 659780186, 875108674, 354291436, 126810023, 820601994, 295726725, 724979290, 567579013, 122925213, 332448980, 890660336, 194800023, 796117546, 305476044, 132448718, 297922480, 982015526, 926552629, 329339295, 880758407, 955707493, 404114257, 479776440, 416277834, 665259754, 967297698, 895668877, 765533058, 644604533, 19766440, 937495159, 374871503, 759097578, 898219041, 453288928, 940326167, 596071104, 213452496, 251154939, 120981557, 143450911, 729162194, 916388434, 915918014, 636253694, 673753950, 737828766, 253480748, 611332843, 473403153, 83130062, 186440894, 862301875, 709879494, 155794511, 309553452, 583303847, 373194393, 997182042, 534294410, 598556869, 663967431, 53656262, 780834477, 953191418, 713183738, 35773636, 206857349, 960533711, 530527494, 737030882, 697351356, 40991260, 489215176, 792718472, 606782076, 542403926, 724173148, 238621950, 435022195, 488311403, 436226960, 314979943, 193558304, 374905406, 870519144, 981998494, 693000922, 988395328, 797987201, 564663247, 883618478, 122371689, 275580554, 796079454, 598785764, 434225902, 795750553, 393578899, 750770899, 686313468, 822126843, 782545868, 832183920, 671106083, 144341797, 700451317, 682448248, 286482938, 857962572, 580347433, 654803229, 20331307, 192428094, 241231025, 666908657, 640002483, 488858255, 307392177, 36891839, 759451533, 278546701, 413682854, 538439375, 791577454, 659576628, 468769084, 24871781, 42851931, 277370287, 942962095, 940436075, 674662222, 223154700, 389087925, 288949462, 956671979, 784701640, 605593367, 992701530, 486496081, 305008458, 758641137, 465275842, 956463323, 939876469, 610897834, 599358067, 415940385, 504626416, 328576710, 17217047, 419754822, 671319092, 932054257, 984890464, 806855482, 417809640, 177148459, 440058847, 539278363, 653060463, 955068168, 593253126, 887756207, 787136554, 361893918, 354498579, 150772784, 31699000, 84003374, 169566356, 429598682, 87540963, 71516326, 447912785, 792729602, 848795911, 944124125, 251091054, 590379615, 237696705, 287462036, 417933260, 848542971, 487557133, 74428201, 485713542, 513593751, 336148722, 448567158, 290922947, 939599864, 299746508, 76523942, 75042446, 736253934, 994781062, 171272606, 699574402, 435585880, 851279441, 652000345, 474764919, 397625217, 163742404, 693953240, 861222428, 88102557, 986263237, 508710000, 991568119, 578697098, 193714424, 387517530, 992330945, 63610347, 912565908, 990635183, 290701184, 454301595, 403512639, 70307908, 857107123, 762394623, 841902486, 666159582, 366230066, 221898371, 542082790, 854669158, 965136461, 202492638, 793340909, 690142410, 231776610, 926449425, 910977129, 230300040, 750549056, 419675764, 110247652, 945269000, 970911039, 63396117, 424771911, 741862566, 231717581, 266119486, 326694898, 745798081, 810752844, 230616021, 254245882, 186054504, 807808752, 453254538, 328163355, 713796846, 711538019, 551722277, 923601592, 396731197, 197256270, 231184816, 915983645, 484609966, 276340230, 664565909, 555698194, 741410215, 94295545, 245588591, 933569526, 108396010, 72166270, 957300702, 673149963, 688732366, 601669809, 495959351, 701770904, 263323826, 275253286, 124367722, 2734600, 420488510, 80913777, 326269489, 106918400, 613319399, 934400777, 439737807, 680376019, 799638715, 707167213, 955356673, 157012925, 551588408, 419059661, 873550859, 491599467, 941527032, 727612131, 139892498, 949157918, 757483275, 624436025, 529363734, 143406928, 909198936, 748072490, 634327877, 18104425, 379430137, 118084030, 827048088, 710799903, 623524562, 991691175, 358492755, 67591133, 241090140, 503549537, 457175122, 350921434, 750497064, 64988700, 859336356, 237058357, 137144775, 343793704, 326505408, 497189043, 892983307, 237131281, 935311269, 359309429, 80239012, 24801479, 501307990, 624878903, 265940849, 306422625, 52500088, 482848509, 132717108, 921646677, 513754830, 439585270, 529799753, 245920117, 657433183, 387778822, 935556434, 377164569, 773224679, 391455270, 917325682, 805970655, 22766151, 531614558, 325602180, 428727683, 343339065, 326973139, 75700361, 914606244, 952587246, 515312109, 145961359, 997273968, 144564614, 908274600, 726530551, 655006923, 788305502, 473829797, 678169028, 813486710, 742409090, 248239602, 239286729, 343829113, 73181693, 596205035, 399138277, 449901593, 653701684, 851323690, 812905215, 536834390, 251498622, 191559987, 429210439, 333664263, 272405973, 243333569, 816625282, 394969278, 526271870, 157390056, 823739262, 174032266, 53097163, 546286788, 934054524, 606528329, 604306554, 123031184, 66519386, 935274240, 322720622, 461829036, 971124327, 283023026, 313003892, 600600973, 619035885, 973374058, 39825, 200206299, 42347269, 73732344, 273228295, 532791109, 847358537, 361338355, 371344527, 376952847, 306044107, 857936433, 257853609, 4139262, 880192936, 946227645, 277191246, 984270515, 384483395, 554834928, 579025521, 279133744, 44418629, 177523319, 933508740, 239194651, 224648962, 956979983, 555467453, 221553626, 332609125, 914506387, 115189144, 119353705, 301683539, 925350999, 985227683, 828707860, 293511065, 721566560, 841822295, 889991993, 404259123, 787204592, 512681495, 459844120, 114282188, 254653429, 211636413, 555080057, 469882947, 87028688, 221499898, 17167209, 516576539, 547609455, 581198527, 857996296, 653031600, 679175475, 747692458, 755721184, 725398568, 747772763, 345131604, 617778793, 984802228, 658791631, 533883228, 989469540, 362321013, 612477206, 563470021, 417577705, 936512024, 246856648, 167541860, 186272290, 734169420, 941479057, 523255211, 862427987, 489019477, 549742769, 629794235, 1145583, 564674985, 459175465, 341343488, 748692303, 391698902, 759073987, 214827023, 225939692, 672683471, 260578935, 602733683, 946632319, 3911113, 534103402, 449077264, 132129961, 389758864, 671513637, 439904258, 190170600, 685417699, 139894268, 258040904, 200334579, 693054931, 895493180, 114454729, 8972787, 341758372, 26343267, 555367778, 690765421, 580958384, 337409685, 149366458, 276875064, 695048460, 36518971, 734884482, 831110138, 764364067, 86060433, 299543698, 636158625, 720725846, 160792987, 88725375, 923786212, 657934936, 338469792, 834367976, 156012032, 388862765, 493568946, 373442644, 748626922, 992931962, 79694534, 132985725, 431510537, 60233134, 948127898, 457540049, 345597233, 985695178, 780191773, 605334852, 632780312, 48939293, 273148917, 120368028, 516598947, 785875825, 551225051, 287247270, 218549497, 732195266, 970082344, 327083142, 329278064, 701551283, 161785731, 587128510, 821944980, 30556133, 273212081, 827874491, 577829261, 253863588, 716825404, 149417073, 212947487, 393458078, 570170768, 158868666, 21531319, 416836166, 94155425, 375415448, 848378056, 64156827, 291416978, 666546806, 909675659, 495715432, 586548240, 881674190, 345839218, 143007099, 327952575, 856311612, 976111976, 625108241, 76989415, 651451962, 273090621, 744577107, 405200504, 176434506, 956103016, 248645083, 390437760, 867778426, 19834824, 181686803, 372485690, 189284301, 526122275, 572375486, 503178770, 963761103, 971635904, 276050488, 393037525, 754309357, 680312567, 596724844, 719467883, 614914612, 905901249, 377493859, 990639316, 154190033, 670432958, 274367469, 313081679, 102418800, 26694346, 185660012, 218877287, 213852814, 441499435, 72566398, 899972694, 641963663, 580545800, 990874750, 199883995, 351599201, 487131143, 457229429, 404670433, 4933619, 898026554, 703484347, 535581311, 9286018, 144353800, 260261518, 566325691, 970513587, 768310366, 889023785, 173601812, 535956854, 455093153, 87811404, 843076176, 473985374, 420067528, 990636626, 740993649, 157246543, 188195900, 712200246, 374142337, 901937928, 26928655, 653291552, 579185920, 277247977, 785834624, 549113930, 517204936, 498616755, 59710653, 286059960, 964334576, 565856428, 6669806, 352360630, 965718402, 805245336, 243698995, 523587938, 577110944, 689588996, 331265609, 451742345, 788536690, 947479573, 871534312, 719926444, 233402639, 238195113, 246449268, 265230572, 953230183, 491446333, 671197979, 7047587, 16671666, 240888335, 140062060, 706895620, 748977270, 492530109, 434987277, 337162560, 470316883, 933383345, 252244776, 618959246, 827493296, 875942867, 970282902, 626057245, 96970027, 849099662, 772759510, 197098674, 306681007, 709803829, 836488570, 273442000, 115598660, 488702261, 870194750, 57652682, 997416473, 529183324, 75867853, 972531095, 625177687, 184421291, 330967023, 664200861, 358399965, 604445608, 882599504, 752623657, 496937357, 59750851, 621788307, 635789161, 275679622, 827635235, 289610650, 494972688, 258562653, 737295809, 226287271, 645231611, 75192320, 572911455, 60717784, 978696221, 682879037, 677786264, 948675474, 339238334, 589041248, 549125039, 485298582, 883874604, 864965847, 765296099, 948768527, 30104772, 454492007, 914855627, 861330003, 842381341, 226726667, 929845260, 980551468, 762214052, 489320256, 798487203, 662900436, 469331233, 161680823, 417168944, 669871431, 127392157, 250111371, 35246008, 126868351, 93711287, 305079419, 479688972, 304702453, 811415452, 658185243, 845080895, 85843304, 155536938, 118173224, 315968584, 766146962, 638927549, 813042777, 855183675, 271804840, 40717076, 885105410, 899857241, 434664830, 568735871, 657738442, 737943427, 328894351, 301572190, 696956033, 921457996, 561507911, 179689599, 985087370, 113010601, 341805605, 388225361, 829519317, 417724430, 699915482, 647193869, 987594114, 453600658, 266979551, 447159341, 877716100, 925427966, 300958648, 518439270, 727859569, 103708812, 28678347, 180676360, 171236096, 894703194, 92730318, 330297317, 91761973, 299039419, 148694167, 183039391, 748013797, 384273839, 845895751, 248195479, 18678431, 910423700, 413743872, 640810030, 33029132, 759135589, 949820960, 707188691, 127782889, 38798486, 470943920, 479633874, 702175842, 455659636, 126615266, 914983365, 132614214, 110470652, 761578387, 406060959, 11665895, 945773959, 90172252, 231781073, 493975115, 431388485, 905854703, 887223348, 496936186, 907649222, 584330727, 947129128, 203553671, 131425463, 873114819, 55013211, 407245658, 214762788, 365795404, 306691043, 568516961, 883138457, 417862974, 103583370, 596659562, 230376807, 676145482, 124273327, 33394490, 592164444, 602580791, 38801531, 556212389, 458194518, 622410982, 69369731, 653380598, 136528398, 618185117, 653364674, 513255390, 623933430, 442731736, 30561095, 981128012, 366784173, 159083276, 497651837, 175107924, 580012839, 547417685, 253066693, 288801627, 534234275, 880706689, 300143322, 564726276, 275553459, 406040272, 254495329, 987048813, 64676769, 441978557, 18678310, 525394761, 704736501, 432613354, 138851392, 122731129, 268766057, 569006584, 92775041, 948529335, 457619443, 230544756, 368515958, 342035753, 544229607, 238065117, 778089423, 806268241, 804874619, 263830987, 796610254, 117971509, 409630931, 829234682, 170183232, 63611100, 290135020, 525840971, 841288283, 95450998, 331723279, 652540450, 145016640, 78754803, 499886419, 374588182, 763217486, 72985237, 631031776, 213628056, 537188227, 306985253, 270297719, 497551303, 130823181, 757229236, 434626408, 719231760, 2107453, 970337367, 561391641, 19862835, 926180724, 407224549, 599014735, 804131798, 187969252, 731515992, 576234532, 175091503, 847989924, 39441746, 144149740, 399059542, 347267207, 576982081, 773749599, 905394895, 762226404, 56316634, 694295387, 746469779, 588676842, 290428562, 881086864, 474519769, 395301284, 994260220, 219811629, 855669593, 423365268, 74956469, 41087431, 676564891, 774949322, 596125750, 361071408, 293807262, 59431982, 662741489, 238317414, 45635406, 78701409, 848233728, 389037534, 131990294, 385753469, 894296061, 127964148, 6961099, 926257214, 13606838, 288864832, 580484331, 328777804, 151793963, 46476220, 717619171, 476688550, 290763997, 133169100, 709318920, 817205736, 371308225, 216511838, 654058190, 766273647, 784750066, 82277349, 659157946, 671372437, 579478278, 661691965, 665452412, 940904569, 378404277, 124143660, 285540609, 445198491, 715025402, 850832303, 805372353, 906635976, 247592222, 422041744, 339962339, 685210079, 294849456, 969554398, 707248416, 415851669, 657166265, 551379698, 519306776, 942357103, 479494570, 330541528, 707175884, 889531663, 765718562, 410643499, 411120600, 341595009, 857973460, 426088457, 312090874, 233046156, 102203318, 483072844, 70452268, 855440285, 636070837, 289213814, 864401731, 614773833, 309532466, 136241264, 909955027, 768283164, 398899747, 143498127, 10298813, 638856350, 859305241, 988444009, 553679392, 475625993, 296683191, 899546659, 862473069, 965182355, 336080293, 406807507, 206989007, 111164919, 942654374, 790947806, 29288221, 308781338, 386575578, 345191776, 441499348, 656157602, 45399575, 12743002, 896705128, 427461829, 506017903, 413800572, 367078252, 755163095, 370222472, 32861513, 217123679, 665714528, 778019878, 435751675, 5396732, 538597818, 309296166, 427362408, 723109521, 205558549, 10610330, 157850236, 422076531, 356313780, 344014077, 834857092, 531728948, 586868394, 777699105, 650567871, 142441761, 40357451, 865195956, 25812897, 543373533, 272215813, 894545126, 506504452, 941189035, 270508314, 691194995, 107465562, 444367467, 292883603, 26355706, 631607108, 695896801, 823593707, 902125059, 723540215, 165724695, 820874619, 1119028, 220427679, 944854213, 596428505, 297812539, 487328974, 768779587, 42776395, 140933790, 806931407, 199274019, 410057843, 346808765, 11902656, 343786525, 235822876, 68536062, 813750181, 739344538, 276362132, 290445247, 973832303, 161741708, 945622133, 729389152, 647446385, 62055997, 951971572, 269529971, 861423586, 701857641, 646959077, 849836966, 221631558, 387410648, 737522450, 928832683, 441161933, 623747643, 161135186, 679325491, 35263619, 34331665, 296900038, 315174268, 709532697, 857444952, 72512175, 615048453, 392760515, 251000549, 851653551, 812811299, 916002590, 807064686, 352749903, 769492970, 403130321, 186472067, 358201062, 622150681, 102217839, 634077878, 112464426, 678527775, 424136870, 612871883, 624841866, 176953403, 32662543, 242967993, 413587288, 407687239, 701741126, 170231212, 90688079, 787374492, 170743596, 99814796, 522138546, 197913327, 634617715, 409077045, 23232132, 710881604, 979691352, 335427626, 130980036, 376549076, 363894247, 863224224, 39887408, 947612893, 591537483, 579071448, 547420641, 176961251, 593533372, 100710319, 197905558, 549243433, 487560458, 856012353, 92858828, 268031614, 106561053, 292479019, 137705667, 38404934, 263993986, 270623413, 252996443, 261198080, 81505637, 483192496, 822114071, 417973381, 12363819, 983149243, 262883037, 731770525, 748984846, 214008342, 997477368, 21451837, 82987402, 246417397, 539365511, 303200603, 571516278, 213313155, 844034031, 27068144, 47654270, 704165313, 5384975, 885909595, 685370629, 843713832, 138090601, 642299875, 369579267, 203249845, 897606310, 406097082, 461930214, 193067956, 158444122, 369010689, 102676234, 719861112, 454469117, 242335545, 367778122, 124727016, 408437834, 717868072, 811828370, 449685984, 106915902, 675324413, 67966548, 958085392, 983324420, 846982732, 799102816, 632107202, 812521382, 6998837, 220467774, 523992766, 552145359, 992499811, 243564559, 176672883, 286572572, 727676748, 171912138, 1645269, 975209769, 784444730, 238364676, 161502667, 643555889, 603667075, 161313498, 561586229, 784095248, 961994337, 199183995, 112401305, 733356380, 164698451, 943972660, 465760920, 937304417, 482886930, 787641689, 487364624, 492325445, 560881066, 626720879, 478409260, 442604523, 510307711, 142144579, 517667013, 225046983, 372928109, 109478568, 5788372, 133723643, 331658583, 630888125, 949172858, 691176458, 244567106, 440356186, 454866234, 723047150, 589394822, 568253074, 379032528, 557491456, 337743229, 399478544, 824716973, 543623412, 929415675, 878487134, 717395207, 766758713, 463256069, 416147906, 692932119, 743175440, 640141727, 195213756, 283555840, 503475194, 31297715, 105694466, 561557824, 603800342, 264398298, 118003881, 229860239, 242685699, 280313003, 261067443, 975932615, 612370496, 893616279, 114660049, 189880611, 836947636, 223925977, 694134179, 61714093, 103070592, 256755548, 690693090, 744634665, 669541531, 364361776, 781067906, 359337672, 524759852, 681700560, 911258055, 258043379, 266175187, 985376969, 973589039, 810404231, 686681047, 344323092, 469777972, 781698442, 883768045, 511900378, 403479762, 612375921, 458905518, 84941273, 332013534, 232007092, 467249726, 954843340, 578832620, 817841058, 444936974, 238492450, 531495949, 287668354, 675127408, 646579508, 80899172, 47710479, 118710441, 529475683, 697062486, 499716447, 140216163, 579368545, 207863190, 454328013, 631060148, 333526232, 454390932, 578440410, 886593987, 407485147, 82803372, 872483961, 172429053, 937714213, 169899755, 912122690, 666097923, 300399522, 145558576, 322040263, 661984132, 869977213, 77359005, 204741640, 625345479, 897462625, 429576551, 818925970, 641675195, 509518216, 486297409, 935212456, 255407310, 46810908, 124824973, 701999199, 77237166, 743433009, 825580231, 737510583, 869565914, 207196350, 239076253, 160854101, 703726033, 596463714, 482311055, 319622580, 251834275, 438756723, 798803795, 930329819, 653482262, 583085529, 429994051, 164509089, 524286169, 96527711, 273608107, 679359232, 461050380, 711903291, 957720900, 794623679, 247518526, 210325577, 178762415, 293406800, 572166436, 299455134, 644264207, 51068042, 358068888, 438503499, 583907627, 660873371, 153415752, 654644497, 673441363, 274571347, 932774038, 858751290, 907473082, 770924045, 603891004, 543392381, 72989159, 144240368, 464481639, 567576461, 208811886, 110025818, 344615131, 504836743, 689126601, 549317663, 256536350, 495055434, 637044827, 755680189, 710441033, 147463796, 72866024, 198066979, 950410639, 536920136, 817741101, 758811627, 894788114, 71371132, 203049376, 469348813, 244252933, 112978402, 593053730, 885617757, 251035480, 54924876, 976775716, 584502941, 845294171, 859322242, 327093806, 300595057, 762742782, 521255506, 366648418, 892252027, 843135189, 336375028, 87809245, 277515346, 423947390, 670011693, 602620390, 988534805, 100529074, 297622636, 128738783, 344608450, 518154926, 205357396, 647386568, 11413129, 273815071, 605745772, 535735529, 780955902, 238803305, 72160722, 488308642, 254210590, 719264294, 919889283, 282888952, 764466204, 84447424, 562552172, 372458069, 653243988, 107784996, 777947740, 525818672, 711547447, 610787417, 801221002, 889581736, 948028183, 841614516, 983296831, 187685710, 977272772, 280635424, 961847129, 998115970, 111650337, 570073136, 384637571, 797638626, 203603489, 875974552, 840444424, 5022121, 214667817, 422601550, 700425990, 950332521, 359699644, 477349096, 607903255, 408628230, 454876987, 925057165, 849290208, 844265666, 110547659, 564221413, 633072914, 459626433, 756990032, 247348989, 594762037, 251297917, 579784396, 215609723, 359577477, 429290021, 415521575, 220837271, 953900640, 438301732, 713833296, 65149534, 698800827, 595362851, 494746879, 262815013, 144840150, 265189890, 566926127, 76993334, 898333765, 17835830, 452704474, 301650402, 663567847, 428298444, 253914148, 809191640, 535886960, 479435984, 844894150, 487345423, 933498496, 181134868, 125345268, 42389657, 131653715, 807251423, 75043296, 192499230, 950313524, 249016569, 433675012, 413811030, 585822183, 609598034, 998802123, 970786381, 88230554, 855761103, 715802736, 741668651, 199019742, 300470243, 103541565, 46958035, 949825512, 19901023, 665694592, 398101488, 360291240, 479347567, 740914572, 325984764, 96515375, 391140858, 760356982, 162065718, 514902097, 13446798, 934842282, 47446945, 643481845, 650916997, 274827440, 60466703, 46039594, 622732027, 108310410, 374054937, 232598898, 463676976, 689682400, 726709547, 100101887, 759162856, 854559174, 970209121, 711617925, 223297725, 200010650, 855372343, 266700872, 186143668, 861030039, 578932284, 136075211, 13860939, 264400199, 416497929, 267037432, 83928378, 334419797, 51877942, 475756272, 778643761, 567767252, 279837233, 31567238, 936661748, 705028642, 763003623, 689505706, 907169773, 526676541, 981787899, 707360774, 305123579, 362150653, 32104807, 43551195, 994610608, 507210610, 226904779, 801658538, 592341185, 196399429, 763328448, 91766588, 961581196, 275225487, 610108454, 593106130, 566955320, 721662006, 692080609, 671707026, 416583738, 630245801, 124823101, 374487246, 248869401, 449615721, 257812372, 265633643, 390390413, 586517514, 546500372, 134967171, 768898918, 818241403, 45291630, 472610130, 390205777, 670852219, 167555627, 297912798, 770570567, 189748836, 108244698, 71445472, 91384760, 477716838, 854112346, 735945341, 378570791, 839134244, 275391526, 648385503, 911909974, 497615668, 186615245, 91037685, 592780235, 853572035, 9797248, 342681649, 164795852, 813142915, 233984455, 871484828, 428615449, 984751343, 814144315, 511943614, 468913955, 14762012, 473617234, 797719504, 634252201, 181911721, 536374860, 102497828, 790226011, 961068722, 908762303, 192125859, 5152282, 304090475, 617042054, 333542195, 329466202, 740960306, 655430558, 126815976, 498936276, 695104874, 955246424, 639659030, 137529027, 81802103, 232412960, 701096386, 974449929, 270228346, 186699289, 609632173, 487581217, 743996948, 985671186, 332634022, 485147903, 581478281, 219301122, 214850589, 475346600, 163073452, 854253371, 234509338, 496502069, 468855818, 349503909, 110610291, 381766387, 430080980, 842068923, 810841829, 10534682, 947195913, 844034129, 388075488, 512926636, 769590924, 641646561, 695462610, 27217796, 741867446, 650039840, 571763822, 595958268, 989627691, 942041751, 488620850, 906725490, 738659722, 171561129, 270150340, 157114286, 617892299, 196453740, 159775636, 294108940, 908735610, 781733846, 822314023, 236389617, 403793850, 603083633, 150720172, 504899484, 56707488, 757139369, 132591128, 854594007, 321310475, 96085648, 542789368, 523808403, 191853681, 688341705, 961825771, 44470840, 922087614, 110671299, 423160459, 907832378, 482389967, 126433630, 96027281, 58882129, 82663174, 601514573, 762275316, 971256592, 425337727, 668207519, 799665504, 234432250, 627014335, 575123149, 798932362, 76338584, 965156190, 176550005, 613917587, 546869503, 343050890, 424858864, 447827426, 347840103, 378296488, 136556931, 70633094, 846911428, 777655324, 991601292, 455291915, 789130000, 54330637, 837202109, 414406718, 993938425, 858559165, 703477429, 100808944, 77327735, 928953259, 561548283, 623227478, 951048234, 365643641, 252818517, 167510814, 587699923, 625586777, 473445632, 994728525, 284061703, 618756217, 816715560, 195231343, 421210632, 399800135, 694306088, 867095275, 74757158, 706512125, 866273470, 823656937, 894998246, 946362500, 189757114, 763717318, 445776142, 704467706, 516233296, 826183297, 570029020, 45508413, 399693792, 487298899, 872720635, 519724819, 605201757, 297021988, 444368982, 791740706, 592337095, 970969186, 257972710, 34630406, 983503446, 958825765, 461389725, 516812538, 249271600, 607004560, 167402967, 745492167, 196462803, 593822841, 371790444, 781601286, 838974108, 60304934, 501954236, 892339806, 695512128, 448888016, 844962805, 159162079, 31990836, 74774561, 141762230, 985045977, 85428377, 631563270, 79263494, 122317028, 83091838, 487472966, 177744204, 658507978, 481550271, 671728345, 305355193, 278568645, 502350920, 408610745, 568870957, 904104068, 733082030, 899456087, 200404018, 815058429, 171510374, 390681569, 480670329, 239521505, 772637339, 762848247, 26204659, 490997674, 153497037, 302542444, 547208525, 855511510, 17138392, 277672652, 74312849, 105069448, 483708873, 564390146, 711522650, 581005579, 466510771, 674519362, 173665206, 774365810, 976059071, 979769339, 261729816, 276408921, 534494439, 912640083, 880942367, 744850414, 373264082, 74809778, 989715410, 814604227, 138669987, 65617468, 283072707, 655117604, 290440286, 547721166, 799753590, 130111264, 764268253, 880385360, 438926761, 191066578, 744889889, 510646920, 35113863, 669821795, 568044641, 502992385, 844332774, 720124923, 935836626, 141884343, 83388794, 240776551, 673604019, 556412816, 408495480, 832511325, 864094512, 177093337, 242878916, 146080110, 706429040, 742829728, 517372071, 802578300, 30021023, 721027265, 367952682, 700566292, 337412108, 921065223, 2134172, 809038105, 179615095, 854005182, 650837734, 76771753, 944366236, 681807780, 94304479, 886226586, 979297603, 91047196, 392854741, 156791855, 60413431, 211564522, 142778973, 114485690, 504550092, 635733822, 518684238, 582214388, 319006625, 355831293, 286558341, 126340568, 940496988, 507180674, 763622231, 216451034, 837564003, 496021460, 393563231, 683175185, 975147219, 888744232, 937136627, 558018917, 141731169, 159826664, 512908375, 140343606, 473158324, 996338101, 592530785, 27061833, 250500901, 536192559, 69167655, 12488416, 276469737, 230188923, 150194085, 308567598, 808723012, 540153921, 635674218, 34364258, 573138692, 840083591, 246611605, 195674985, 322082282, 244902852, 254271007, 959404815, 374370074, 826457376, 617986086, 116498511, 57472933, 972365849, 273791633, 455945512, 523848134, 690680406, 824296987, 154743246, 238173559, 384393062, 28365134, 232912843, 300847628, 357572239, 889225029, 226717400, 52107095, 405474347, 427066161, 79890213, 103008317, 343414535, 210740736, 604262010, 679861650, 958056075, 946064859, 362162542, 221470715, 457854510, 118285399, 381566030, 792770094, 18934426, 142471862, 311487466, 836564918, 572520080, 671483489, 742321783, 687751958, 97064296, 756175661, 241019977, 154957972, 775471998, 304130498, 978405073, 501615246, 631332944, 64651642, 641029548, 660936550, 714033081, 500707835, 349162421, 644670177, 771160647, 872158566, 59207420, 671681386, 205747918, 518145722, 566827151, 34434070, 979169753, 559716998, 178410760, 100358641, 201318003, 439958104, 914645294, 233640120, 363985409, 840947238, 564881364, 257260688, 623440134, 688218924, 424506755, 638716814, 391362324, 600646935, 663237090, 694453177, 444767053, 384869803, 163063315, 425525399, 227105528, 94246437, 773703429, 49415571, 136116233, 400274283, 761034313, 220459831, 518975605, 435626073, 503711042, 224520753, 172158033, 169688476, 900391298, 457214657, 671655332, 92602477, 980673671, 404061464, 935534236, 849913394, 180425345, 934883624, 61880852, 645318303, 146641092, 86538392, 433500179, 359787803, 874144540, 139718242, 854425290, 23420694, 660818224, 644037340, 313731579, 218062397, 102161569, 28606413, 759825581, 248199165, 586678882, 914699551, 452648297, 515957833, 761562738, 233162044, 346326984, 853862644, 830841070, 425014203, 562235498, 49060902, 553788784, 640501662, 108346074, 220109081, 939152917, 239228713, 751798769, 226135237, 140376977, 399425437, 268426567, 764260268, 916098316, 809768337, 716730684, 681816095, 783870310, 817266580, 633543718, 860295118, 926929740, 679169149, 18285285, 687416226, 10675125, 655258309, 327587502, 992508473, 776465403, 423853303, 490551611, 84446753, 960494381, 959501583, 593455111, 434439739, 168520694, 1727406, 908945848, 803095277, 125371173, 334499687, 426374081, 902787252, 440197190, 333120704, 390014263, 807200810, 484971867, 157120824, 283844808, 90210200, 947611324, 494343818, 587813812, 274427504, 852316689, 667398766, 346655400, 740140061, 509352436, 636311733, 793205157, 183270123, 528821580, 83135772, 29784188, 353879407, 698287736, 463055531, 564759558, 261309523, 348463154, 188680933, 278609499, 288812098, 850382605, 978769896, 689671583, 370541353, 815874615, 42891369, 670704124, 988952538, 361216582, 200377097, 600601899, 403660617, 603939276, 145915267, 806932541, 353991720, 222739090, 368586496, 173009804, 541341575, 346398930, 233248410, 887591769, 755018233, 972094345, 420828019, 538842465, 251467951, 352864990, 895353714, 827680807, 381477155, 602468267, 937358463, 432578363, 389537277, 876644867, 771044036, 734977046, 412657570, 760256673, 3778120, 11409995, 62626762, 691073698, 807698748, 224926476, 129902797, 656649283, 259687750, 741591549, 595472273, 444741943, 80897351, 768544839, 596249585, 695134512, 651476099, 798592604, 459952429, 49958669, 679208948, 95615299, 940424773, 945722672, 910918817, 77983391, 98843349, 421638127, 489044821, 870903145, 783663356, 309232266, 609634888, 442417798, 722235924, 602236470, 752705151, 780987207, 743293532, 768550702, 674024795, 211633468, 353267069, 2192426, 881314049, 33473358, 518139082, 952775281, 681579622, 270065564, 616703943, 246953786, 428995132, 24565273, 167351238, 148186602, 174685767, 52000683, 476069772, 361436109, 585231658, 563618451, 469679252, 5357701, 89196354, 519323895, 685961090, 673888732, 286132475, 828058982, 112822276, 946475689, 257905571, 513023089, 984656276, 262605252, 779796802, 234689154, 329092184, 859106879, 474501900, 833568449, 993043778, 18201492, 529381955, 566675611, 981534613, 467270010, 872478329, 587798813, 879023023, 374380701, 670120309, 420572517, 346193120, 667691642, 586359520, 760217374, 191071261, 621641053, 194159506, 155133331, 995699089, 373945392, 760431064, 20474637, 345412485, 876654472, 247775530, 21134216, 292794244, 70881705, 17033248, 916658589, 147444337, 89432692, 414386538, 881071270, 547837434, 473533446, 563950592, 431464745, 973951109, 540099399, 297605937, 855141676, 811451846, 340000763, 95076030, 850913523, 429587891, 430009729, 671013372, 390731447, 347090843, 205520092, 108405652, 8610937, 898419346, 679778687, 823005918, 435834196, 666083490, 813686475, 657076421, 96022775, 511309328, 259539729, 586430999, 454335009, 51128306, 163494169, 798637904, 663557173, 641640227, 315750491, 300951877, 103033855, 558307683, 171414822, 547080870, 130034656, 139351265, 952833102, 313882127, 23194626, 723498128, 670016452, 863901018, 65330993, 149852124, 46095124, 966692630, 907631208, 179131687, 782141004, 739706942, 921071125, 580715527, 494175560, 250520200, 947503187, 935725320, 624974152, 932145690, 635108473, 583925009, 943993525, 732820609, 732185565, 205759698, 971483546, 818437156, 883818758, 648556857, 160853073, 347972701, 411936259, 342610326, 1583739, 260789691, 705388948, 411638707, 341823653, 201611905, 59596742, 19420395, 829664336, 101542335, 926730051, 647207668, 822562499, 830575229, 357823481, 67082947, 841007040, 19199736, 629848131, 785178192, 664795997, 650479804, 144711375, 969495797, 201903980, 469031270, 101126290, 601811841, 414972091, 707938410, 134643942, 316648721, 932553373, 196677635, 135823324, 285873888, 314258620, 849644979, 372485299, 144800388, 636534857, 486838965, 718959822, 609313283, 705527210, 386171173, 331314174, 927358422, 207060650, 411448579, 32060993, 82457790, 288165960, 569773236, 353415590, 489710214, 64054706, 662995368, 317744951, 133556477, 855690340, 76844890, 349078405, 636207779, 623873857, 986020275, 642789184, 775474463, 652034446, 412764484, 974653379, 219073536, 996179841, 579599740, 544736897, 622116016, 752676433, 253468856, 908940458, 631694511, 115245490, 961194666, 636914407, 120024094, 191172505, 656609393, 439224085, 662729348, 447492693, 546350823, 549068015, 255372250, 507793347, 168052206, 858606855, 38444516, 921628436, 509294223, 828094814, 850712306, 483075159, 349290839, 25623876, 748647883, 29941391, 862166371, 801032138, 617966500, 820599758, 3845746, 966326335, 777675275, 929792510, 480798239, 363340941, 800229477, 213124118, 206806288, 131423021, 2281237, 97345993, 240648033, 389015100, 997747899, 356757178, 821534044, 594625898, 54811103, 39965058, 853597808, 241375544, 574128743, 11988362, 908582406, 385618665, 157134844, 738833123, 613934601, 384663001, 322510831, 603178342, 293491005, 460701176, 284882285, 729110766, 42822167, 391564854, 562866607, 162115114, 245214488, 246562286, 691170784, 954382783, 678736710, 806486448, 314522524, 93013353, 599971230, 652909220, 964715955, 537175757, 445585318, 594260771, 843813462, 106748220, 716660103, 215228868, 200074526, 523646807, 597740086, 632114762, 972274742, 835482772, 703219355, 321798326, 434651574, 517812114, 204509924, 20101817, 227375654, 945639057, 926993978, 892140081, 33971387, 54769575, 343017605, 934533237, 652359679, 815572911, 946344014, 672916635, 246297237, 849036821, 914611642, 950759803, 859713779, 929340752, 654393783, 554300867, 336981082, 483922886, 248419390, 480989368, 417067735, 762990504, 835987161, 414281166, 638817093, 327949304, 6159449, 107960857, 850376189, 962053620, 99700399, 758889168, 988237055, 768654083, 631850309, 88507752, 96261689, 366891115, 68309398, 408303516, 46761286, 54054152, 749430428, 634462018, 487034145, 486095792, 293671586, 151810236, 112682459, 875405756, 407312380, 873856218, 903341692, 50900359, 643802165, 146511745, 308666783, 808686714, 297501769, 695548678, 843896752, 381994355, 56600070, 182654381, 573560643, 841926965, 664020617, 560814054, 172709570, 681490423, 192108237, 303946857, 60149072, 987681057, 604468031, 457280141, 277267148, 533965698, 800619727, 76691781, 92257236, 337794491, 239052716, 626317700, 399510502, 251704325, 670752218, 927152936, 889038015, 626736644, 275265385, 515648766, 19125327, 175166090, 568750119, 625501153, 470793115, 52455375, 801639694, 175190757, 316077270, 523877302, 955136331, 938114465, 726979426, 199636440, 608250040, 108896504, 595174659, 792356602, 463936211, 851690826, 238053897, 392791052, 305774738, 684591519, 135386936, 346051059, 183362569, 75586124, 646353433, 488679784, 832989845, 205664941, 113532124, 450993716, 187949277, 256063970, 337166613, 199202670, 872612406, 553546333, 903170555, 69845615, 660588872, 671122490, 563659156, 801725995, 355501935, 909118553, 939839093, 644663952, 347383679, 253593685, 523963999, 557203202, 826147604, 194666331, 861708858, 87952087, 883309353, 874998483, 91830423, 897276229, 129328519, 72811858, 770422665, 461455678, 485809884, 494883436, 837186598, 373830270, 631622730, 773475492, 275179508, 650861145, 355000439, 91562598, 629646276, 552922439, 713183278, 240019971, 175753795, 635093383, 584349041, 924850517, 54904519, 376147794, 210923883, 509987679, 441078164, 827377036, 698866406, 587171652, 575786123, 31433110, 365428766, 760895433, 43030326, 347978337, 886647197, 512325820, 691911219, 404955085, 289301521, 520045940, 237563121, 184761742, 89310806, 64570804, 952769912, 182768669, 819422692, 110269467, 527506347, 893625949, 143027389, 24016234, 199928619, 744422043, 702035798, 712667944, 289662759, 964554929, 933993721, 417058552, 210486592, 481812223, 666167156, 873934605, 411519672, 852799097, 515744464, 480268034, 16742969, 878069178, 33913, 648360237, 336920253, 220617059, 574545230, 566016563, 505981993, 643030446, 695159288, 255391908, 23004834, 176898507, 618476019, 834890391, 737275058, 417092945, 747097167, 834541403, 210034475, 216034830, 379246087, 809542926, 29333680, 292639856, 383070222, 570221408, 530397967, 887534051, 328850434, 15819775, 572402363, 47665037, 521758585, 623235406, 559513937, 398928652, 912874491, 932348188, 914108299, 727804030, 999497402, 113000817, 568451540, 798657516, 64214238, 13480936, 433132202, 730799475, 546728116, 823505447, 123465792, 833277600, 524947339, 935537821, 408657250, 445931457, 227996233, 111001807, 607457728, 22556178, 412910714, 647256143, 682939959, 807986364, 453424801, 155355381, 853278697, 868267312, 671536125, 716790991, 690718391, 24556365, 800422475, 200713387, 776949842, 640329486, 539718390, 892073081, 751106587, 465603578, 350979859, 392774049, 737668400, 337781649, 570031836, 166894659, 213634696, 621884176, 101687818, 647970667, 32660175, 407636294, 751408893, 898195838, 925428591, 491078134, 263892285, 693472314, 647131976, 432943337, 475860198, 741421708, 654638364, 409628361, 598518393, 276826709, 397764515, 829935787, 932166470, 929454380, 291181797, 239800944, 656409758, 828442922, 218293656, 715363236, 395858827, 656528604, 376428430, 910174862, 382446756, 816261707, 474529246, 254393697, 850736311, 814969485, 76623738, 807265106, 567179003, 852666402, 26368387, 243255783, 862174826, 437660763, 825663719, 153473943, 673815575, 885346838, 749354633, 227944176, 593180822, 883085309, 679358201, 101516744, 648517780, 558709793, 904250848, 135539008, 985417751, 890798682, 216080864, 160707469, 212818325, 936020194, 301272013, 917294257, 317856443, 845923707, 743588957, 452575338, 377267369, 180952367, 66228360, 637335141, 948476637, 273905796, 174664111, 775529891, 42269585, 389061649, 175304981, 791483882, 551138888, 981290016, 933465151, 136041626, 970828595, 881805865, 530659302, 131673355, 468312513, 966230113, 220075904, 574202430, 683756221, 691183272, 153652951, 391769245, 424822563, 433437484, 50033463, 582763591, 253174742, 497131125, 714012973, 544521248, 328421815, 259113998, 466040839, 361920263, 173139588, 137616624, 400261575, 427515164, 4512961, 626158842, 34495521, 938588464, 756817567, 112550928, 304678185, 47448887, 585855690, 709244664, 543616341, 507125650, 595913468, 392626496, 918477618, 303981209, 55545944, 327167138, 796348769, 999784642, 143124515, 869754010, 167008457, 540184879, 309886119, 810775485, 580121227, 621495520, 877405498, 978263781, 103176482, 521872626, 329576518, 21608418, 429930262, 61735471, 149962604, 707910970, 469969808, 809872010, 472286967, 604093798, 425499879, 937162693, 422644279, 128594315, 204673093, 102980943, 835177027, 502096004, 937961657, 258061152, 793960662, 514271535, 196523326, 541852562, 873091852, 536280675, 941856090, 665958096, 884888438, 887931749, 874413065, 850801270, 850663872, 51879632, 541168347, 293326047, 290895036, 874140601, 621956792, 52275751, 921478781, 941246745, 618333118, 445663310, 77091212, 655318097, 873077286, 267888560, 408025260, 18981265, 353135826, 775806289, 864073917, 603167328, 68268439, 856966592, 776452587, 716263954, 661943485, 526717345, 572613561, 984853298, 51022864, 389549047, 656088993, 922427077, 441440945, 653224936, 448980070, 623140515, 470763907, 599722944, 635319127, 159019238, 529939552, 270046392, 748818360, 14437834, 38036377, 744026374, 733758616, 589084785, 895697964, 308267335, 610700181, 417220922, 268299169, 517658714, 800494851, 790246018, 323437723, 419380138, 784530573, 786311667, 477348032, 886514368, 603053356, 8875265, 923126023, 67859664, 2263262, 81564628, 637668245, 405075398, 530065509, 516342684, 15161318, 679283480, 506446342, 423948098, 429864327, 225407091, 168705688, 822101875, 79145248, 588164816, 939238422, 472687075, 813777170, 209361154, 279961691, 426352515, 625176354, 436604018, 593656104, 385132221, 27457216, 422052678, 599456011, 977122858, 951149860, 134405162, 785476015, 683677143, 616292005, 592876387, 894096286, 788352055, 295190069, 262693923, 512958449, 653249094, 671314977, 563751364, 295612299, 885434715, 958402259, 327361439, 388685829, 190462685, 914374511, 37776931, 109622274, 635931261, 693618332, 737985184, 326378667, 771310969, 72792512, 121082634, 638910178, 738663801, 966524305, 886428042, 903333549, 139867712, 329635506, 454807900, 273652613, 948204337, 306326077, 680382991, 701957252, 709181371, 430040294, 646374135, 743138503, 784354119, 397902614, 980888582, 943024409, 469558249, 537402058, 365214551, 519765683, 902709049, 553352164, 137637347, 907447972, 492351595, 500016349, 853610680, 60210362, 555343276, 803732280, 977608150, 493311126, 667426308, 426868627, 876886125, 976520541, 340188918, 74523507, 231073465, 169232856, 977317553, 763305913, 874597984, 804314702, 365008874, 605724694, 166357858, 175474443, 760139402, 857101038, 880885333, 440492653, 120547624, 331179985, 598956111, 36961273, 382329770, 61313774, 903809554, 945582656, 603250083, 949385101, 101043564, 434069502, 741951612, 916167639, 41246808, 611429570, 796742463, 550610914, 855229128, 433359938, 395193663, 77778212, 741047582, 176850694, 948623426, 952477399, 117484004, 528373876, 126617977, 367414017, 354475843, 67433983, 117429056, 476800567, 886396872, 891911371, 199448852, 441790094, 66946428, 443042301, 508711359, 229056599, 82673902, 232183014, 199336346, 457468359, 422866886, 526609574, 123733560, 347225114, 923271917, 657287052, 401006520, 847395918, 440452473, 63820512, 861323514, 758565543, 371265610, 517960709, 175129097, 117311493, 635797644, 17281900, 429756483, 506461929, 144828127, 859719673, 644796141, 827465377, 580456718, 148887143, 17429279, 907614717, 163853720, 82475201, 308587042, 981207329, 187793974, 926167332, 86726967, 888737798, 67019956, 375639746, 597475322, 786503026, 402902817, 262568862, 960353906, 866336899, 607091050, 590957068, 976463473, 120265767, 644839530, 448102962, 54295965, 477178996, 52989616, 190430595, 52011201, 586395626, 68785690, 601268903, 642317723, 314572997, 891545643, 983947537, 901938810, 736840262, 587774671, 54152973, 214586270, 861629380, 375888993, 792128660, 758805434, 610722348, 652260583, 482882316, 609175648, 884684702, 767347504, 336326620, 980888766, 151313345, 144944714, 160879586, 348325435, 220761873, 292399268, 74509641, 821087756, 249138467, 57586107, 499141761, 681909765, 895343661, 383998405, 385054846, 697772610, 264686654, 537728762, 927037010, 337109270, 45063887, 995195801, 618825483, 58929949, 276959075, 23587876, 914564694, 339702450, 604099902, 393966428, 376107011, 851587520, 890345473, 258642304, 932864771, 158665752, 339652727, 650186666, 270649104, 65197338, 662303000, 15858541, 569732331, 866185578, 223798270, 825764245, 843024789, 101338031, 834345592, 71544288, 904700599, 118338327, 964307475, 594438972, 288590904, 214853027, 145110207, 209897947, 939130459, 421663399, 197831322, 324476394, 583048009, 917410219, 60561505, 641215483, 574952656, 886919000, 816078377, 65318921, 782841805, 747501604, 676311251, 799133890, 976868059, 877038081, 777666581, 739769252, 10136799, 241979462, 722892501, 857047564, 404427106, 832677272, 585390712, 769285413, 906031543, 349457511, 721635917, 927345330, 772364528, 209577357, 555120129, 4695168, 474495672, 143482042, 932472003, 745430531, 458513346, 651362574, 598785325, 353207018, 93314772, 603236921, 979520041, 788404896, 560078389, 780473405, 296242445, 752161002, 220526906, 539137168, 907574311, 403478485, 805337219, 58598089, 878742722, 549395077, 315942498, 749481217, 135708856, 667148767, 259852233, 984878579, 987103894, 976269887, 303403900, 808792230, 600338356, 652246795, 792897565, 650428497, 762615000, 738791701, 688806767, 590832939, 686630628, 507938485, 572952486, 825552348, 919231805, 452861061, 483028085, 217349787, 947455678, 364148776, 56493453, 316277170, 31574773, 595665536, 239736705, 549376748, 316952644, 284495528, 212114030, 813421410, 116411703, 523668683, 786614230, 304726939, 150842231, 948448954, 34737850, 493604710, 731446594, 622597283, 332155777, 364083193, 193205747, 954212009, 117648665, 974856949, 327768384, 330407921, 762849413, 140293167, 434601332, 973565189, 627083534, 653063100, 634332653, 386853928, 116191635, 940640576, 258620498, 114318003, 853979089, 91719532, 692518439, 792326132, 937904356, 529723730, 490990931, 277067415, 86607700, 677037103, 434003989, 201599970, 649445958, 324970611, 999537882, 251090903, 11342933, 516918482, 941334890, 415313024, 95764654, 413128439, 108701547, 368856990, 972235813, 675853728, 669950736, 267662711, 822747576, 945139068, 996580991, 589168745, 359273257, 594889446, 824721692, 390361406, 223865396, 471633036, 691222512, 471409414, 523422718, 98001234, 498086030, 948552917, 489569846, 23669927, 557800862, 692740353, 373568236, 755027028, 982277692, 351987067, 196035754, 61130376, 975378300, 222823560, 242484661, 460401427, 793609977, 537519358, 69276576, 712146486, 307076371, 995253598, 633919947, 580086650, 606929191, 48353269, 783009465, 721581714, 668116121, 153850855, 626082663, 840705934, 594125188, 500923878, 448800818, 185831989, 704189761, 868088451, 380692905, 863853789, 656449090, 324476482, 60254016, 837900799, 452725656, 659128754, 101539499, 109467980, 155891588, 12668296, 450520351, 707603304, 762377913, 118543020, 819422606, 224953226, 137940282, 157114551, 688954616, 248333325, 912805632, 98708017, 651095395, 664533352, 744976589, 573544711, 977532380, 80194429, 908798935, 744326218, 455044147, 971540534, 451000305, 943542245, 963557281, 582450696, 215352592, 488474896, 378125462, 397348884, 448842889, 142377177, 661147398, 445673740, 15200016, 998593620, 666403862, 742124295, 882357119, 840293485, 247896681, 238510772, 72077097, 790191782, 29349972, 444514156, 60055191, 357220223, 979465404, 213448912, 93620179, 998112855, 904557816, 726980458, 662114361, 820709172, 604268576, 488994209, 322008906, 834762719, 932202560, 740259420, 184447499, 473221960, 334798983, 665080520, 24273087, 784268332, 533649868, 530197265, 205873936, 206599033, 266021515, 998694492, 469589730, 42437456, 28871806, 763044667, 873180659, 678279234, 837553236, 14862073, 271226825, 113309564, 281589712, 739389790, 889650511, 208213166, 110841140, 252055549, 663348023, 477732817, 7429285, 252607696, 131403048, 701598584, 497892468, 188471695, 611866056, 826896571, 572974253, 127095626, 724147526, 231357599, 31807592, 24922946, 688294501, 53645973, 154082972, 396763680, 773230225, 830184377, 78574159, 355007890, 44038892, 27804658, 633282355, 262090439, 743135846, 249950277, 192811674, 757764405, 62917549, 703165987, 980510195, 792376043, 180718987, 661013269, 526504162, 551175253, 865845592, 212475506, 477412448, 724187955, 842055161, 625270760, 956331704, 517596657, 97916410, 739193309, 869802411, 528315079, 360053809, 791207767, 882453767, 665452919, 378750740, 797041299, 862416661, 935701931, 821397038, 753651411, 841721477, 234942511, 996583632, 408198954, 14034632, 461612983, 188296368, 949255785, 332549182, 819710392, 807244647, 305828812, 783388050, 607019126, 99353559, 257546142, 689457037, 990133928, 894447613, 545445656, 653747779, 676054528, 217278583, 124993572, 997153662, 937480216, 39349814, 595138638, 337393021, 211550234, 504307969, 533248999, 129438619, 108570227, 708148417, 772152503, 267364797, 524640969, 325993560, 998351111, 469229862, 730441223, 655163648, 868649092, 518031005, 541225412, 270251999, 548125803, 10425728, 525185222, 9204728, 131213515, 130379067, 446123568, 927010661, 155732318, 203909777, 434524902, 100554826, 526707156, 497831019, 262196685, 437719028, 179120960, 392856653, 602082239, 323312790, 913478482, 894886692, 554348994, 463452016, 649855437, 144865710, 427376073, 133240608, 594239105, 322230373, 613679652, 510444121, 460603812, 111683891, 945694476, 777131582, 843885076, 257664933, 615111746, 267339385, 200872157, 146316667, 142074036, 370236263, 92122618, 225056129, 87570433, 571232247, 381912703, 940394360, 593327812, 567063392, 676159957, 234989543, 742841948, 166529760, 225086103, 913079762, 49515144, 967645431, 896918959, 196011864, 584923654, 570315000, 150408083, 822732739, 537686339, 408592887, 783001547, 74518797, 373960945, 244844335, 330536997, 226264460, 721909404, 247772145, 441264015, 131302296, 527771816, 785797208, 212875804, 365168372, 208349576, 608825116, 793684232, 433802337, 39697415, 384438798, 388853826, 49701207, 398984205, 757659637, 796349181, 994312700, 627122121, 82435278, 493069702, 515248501, 546603785, 965834786, 526914898, 115138670, 985842370, 909078792, 151634822, 321788442, 906852944, 987383519, 49132989, 698976144, 672622668, 721046966, 729027142, 263197472, 249512040, 137370994, 521026422, 364426817, 195958050, 16299585, 425890527, 625702258, 335822777, 424725500, 488877154, 685813074, 296319954, 565670800, 287696728, 167066321, 992409332, 934496703, 99158810, 900312339, 97498111, 169685884, 521937130, 765513359, 124571992, 203584265, 672693836, 972858163, 440771082, 989344401, 588486979, 656400850, 656739676, 400164013, 335522317, 957086244, 66512514, 358881508, 292329301, 847231903, 887585371, 492071164, 306445174, 289743471, 969552904, 979238531, 166750197, 197863223, 210045584, 684778819, 508077053, 598622997, 465773284, 892792175, 965069659, 945623383, 882285593, 689327749, 479874469, 767695076, 527297791, 876383747, 518501490, 236982142, 907826709, 654711977, 916402673, 431452070, 562261673, 472069762, 359557263, 64810834, 109374255, 478650822, 467004910, 658094620, 491274748, 740460451, 517543485, 170765760, 67514164, 189397661, 897754899, 698916301, 257869149, 585911865, 291081959, 355807935, 627699562, 672697863, 378153285, 310892216, 905756458, 800338532, 100750514, 262183716, 385726789, 515212062, 846988397, 741374778, 935501440, 537816412, 314664588, 644113669, 805423838, 667183662, 133982075, 16537263, 833930839, 805432347, 894702606, 670328405, 721316608, 203701296, 647642986, 766493404, 833396174, 206548314, 914613230, 464595404, 773892338, 176327344, 9907258, 501134437, 119424939, 960574421, 346776928, 93566189, 128288733, 347961755, 811468230, 877106073, 644907164, 710382873, 869396556, 562782076, 271765576, 150138418, 519977004, 311698311, 473295216, 558074020, 902864750, 63041947, 167981179, 681493415, 922625311, 139430698, 384836998, 244776809, 107743744, 758449660, 916446839, 540753121, 278640466, 866749835, 629090566, 401081817, 572463831, 841700278, 848981752, 237392150, 725968333, 710444778, 957935789, 644064172, 223760774, 318145713, 281506276, 898237029, 323892409, 159059807, 190134405, 294689647, 546793765, 415166119, 804075443, 573070018, 905183941, 218117932, 530716709, 652063303, 548801894, 927902568, 808006137, 920933209, 500073133, 647776322, 659772860, 591719804, 403266533, 762923556, 73290294, 234330065, 169646963, 32726695, 276139069, 619517579, 94969208, 573126573, 475169877, 785419071, 91259602, 925628376, 770823169, 731619344, 397469737, 394041073, 407440988, 400544707, 508555515, 622476745, 631173025, 632188256, 671261913, 491096014, 164228752, 35354379, 425967024, 583889894, 823660279, 660854351, 882892134, 634823066, 683965824, 610667142, 911936924, 833326313, 574395477, 648618034, 38695149, 812640761, 47975790, 43669278, 221004393, 611878368, 972110440, 638775488, 940561069, 129650387, 862979767, 37892033, 592547251, 253500791, 96549002, 851210732, 799875318, 42775206, 217785275, 839517296, 485435343, 301341764, 699605206, 954809569, 831990133, 725019958, 845531437, 366243854, 516759022, 74913138, 722525954, 486903351, 760142955, 371742760, 955699818, 574118549, 686924598, 257711843, 428446660, 766898099, 809633088, 630538084, 734137233, 286724018, 461627394, 870153680, 165372175, 345946907, 209163746, 910524368, 863268309, 803113671, 497557351, 926003720, 109385640, 163507920, 714769276, 182892738, 899213809, 516621674, 289514672, 848715525, 84721576, 753001950, 350550842, 812998504, 610300904, 523736468, 817253803, 336975471, 371593140, 785989146, 497109701, 206544816, 766441671, 99786593, 133215921, 878373245, 58170562, 606637933, 315565907, 850625031, 254982504, 2322375, 673931608, 103146591, 889791634, 53859513, 236213539, 754138773, 546612172, 941402980, 592443110, 86066893, 277639763, 162332751, 86043732, 212529565, 441213095, 360491824, 840785602, 190393423, 642379966, 80721313, 402355242, 927781196, 469799245, 590172299, 606339937, 5413578, 146423737, 148690376, 243111532, 829420215, 697815025, 636806172, 743365981, 460814626, 871812196, 504718439, 862071287, 252586500, 993619929, 479977191, 631733445, 52870513, 743593306, 741570060, 777667534, 128151224, 771329306, 41041332, 10597413, 352729929, 251188185, 225372418, 12479020, 752477331, 3942053, 125814946, 70913120, 720200933, 279271291, 566848753, 858073122, 940910986, 877798775, 871508440, 614062856, 815594058, 876059723, 823279457, 480929260, 40352357, 988875365, 297921063, 731759155, 603935241, 729487379, 817871668, 668187609, 929237989, 449086970, 186122534, 101142710, 929675463, 135089418, 552210928, 315426627, 5233712, 917921754, 657055609, 550266139, 470265096, 883827453, 729646435, 357677816, 845952811, 571117015, 913977204, 601693284, 529006886, 932917762, 481693141, 698906180, 387959675, 260035439, 842171277, 824516600, 518015700, 542728175, 577998960, 101069416, 805388411, 766447926, 328929560, 751656721, 544965822, 760463448, 198196402, 842324505, 804735228, 462418359, 335418143, 242105522, 281665241, 659291071, 347839273, 356046462, 533799667, 828569252, 512190786, 702549287, 260895952, 381315749, 769239368, 882609635, 584481294, 388448206, 407451586, 293198400, 270174447, 120208446, 241748147, 483462515, 776793722, 622388507, 200330775, 967010761, 250576677, 726513472, 726069485, 725439316, 200261002, 718960545, 34542321, 549026667, 660725122, 5422737, 57121478, 842793349, 291340232, 287998312, 721236850, 785406424, 748750705, 439322697, 517353480, 75322660, 585021555, 136739227, 145850185, 885888503, 422838996, 50741698, 48628260, 839771517, 39389077, 528131123, 14368544, 350171894, 238796002, 245854429, 947070820, 45132283, 543993151, 836508620, 474595641, 558050520, 782193545, 156670437, 234184698, 892054889, 145761990, 704569628, 224043634, 206824689, 393141268, 723310233, 832981496, 387984497, 40052999, 104574663, 813746006, 817384975, 63898040, 486318506, 260064465, 592943084, 23240710, 847527467, 376923286, 259246087, 494098014, 782663012, 329419024, 342227885, 62768921, 611248875, 246285944, 402000507, 442687545, 975034547, 207136541, 191403959, 529045989, 572879496, 165786144, 493192255, 847716119, 119224490, 627518886, 323209929, 315718783, 916494290, 585702839, 841464216, 520932310, 348489811, 132390501, 413377524, 540371257, 418168873, 955036878, 920608636, 540154184, 508876743, 920740995, 757782801, 310874249, 42913631, 242879670, 158677242, 738144214, 344828545, 939390462, 197869905, 17670721, 822852448, 368984731, 258867973, 23457688, 387258074, 929339415, 509717426, 951194537, 644767317, 425955444, 636212887, 879960645, 710756791, 669166455, 179292324, 550357170, 948313561, 476945344, 194469336, 106095815, 6855386, 418771434, 11548757, 192304716, 354748364, 979469930, 915164147, 501698129, 273809447, 946197186, 829167286, 6569904, 915403236, 592658407, 779327442, 965554044, 201160114, 626496382, 143101120, 467741750, 83550289, 957113319, 796441276, 403558241, 452000951, 501480131, 370959945, 467091176, 206068140, 873309189, 662471285, 293941493, 925133724, 927881663, 724887858, 128222908, 665734342, 101477207, 573121739, 62293481, 140592987, 838853678, 192757746, 659024968, 961526019, 719306213, 425334014, 877597363, 23620544, 801210194, 723505418, 512102487, 442685714, 167435703, 31418071, 836770231, 480734294, 419979204, 635484044, 908139479, 176554736, 181825074, 322968209, 139909800, 253322862, 490170426, 136350592, 649358312, 302574281, 282348063, 155512751, 307954016, 473817489, 654207331, 5436170, 325483422, 300442500, 456426061, 159594368, 535209988, 979458828, 985836157, 807354866, 983177844, 879879653, 868855174, 572852449, 263839686, 898635347, 109095469, 719294624, 593498332, 365882058, 871630404, 784843924, 944376771, 417073129, 990310588, 925143393, 666279219, 23486219, 283420257, 103641855, 518238127, 922990123, 95033471, 361689283, 27046571, 750803698, 664675800, 929772949, 835429007, 448952546, 329167451, 940031872, 730000965, 55981542, 705416127, 212837235, 36334507, 358262807, 297452244, 190474851, 892271380, 397812639, 840169239, 661632956, 341583785, 235284456, 792636700, 993381847, 409644560, 231217622, 676533253, 335609291, 206675057, 273249101, 688936209, 499971347, 903352428, 922367950, 953126803, 587591703, 45969420, 291330793, 624972603, 603655752, 818893524, 64714672, 380762708, 906415028, 876498239, 699719436, 484929292, 609934802, 296958649, 23073869, 709142303, 408520799, 111061964, 803572874, 711826541, 166166274, 594694644, 350363955, 553825098, 632161490, 94517549, 685210653, 944398116, 38503506, 453895113, 667927695, 645246018, 752596372, 181454665, 331458940, 10102572, 123200794, 438733782, 328987668, 141403688, 59458490, 516081376, 642431121, 941952532, 868287545, 319415044, 49122833, 757057612, 708357766, 790421965, 5217861, 66414072, 924885090, 304545843, 459822034, 42465726, 387934381, 785675694, 920267660, 537434082, 576966922, 813718009, 166029160, 794120106, 516643062, 60164841, 564372781, 459717578, 722913673, 161064642, 852147205, 579346661, 953891836, 588221117, 136824443, 515520010, 313576656, 714496605, 328882696, 860464743, 724643122, 302908750, 872755722, 336438801, 37660795, 380446259, 651591349, 607672690, 992932972, 951372211, 386124193, 140953678, 992674336, 427825601, 198394579, 508789731, 340662251, 906587698, 228275429, 914005210, 699733997, 768483920, 336742232, 103303366, 573215799, 316210908, 892578609, 539215582, 895428114, 928963798, 219288042, 501555439, 478176946, 276956746, 519471578, 334295531, 926375044, 345063213, 23875692, 686149556, 367625240, 923240099, 982239442, 741830844, 971996363, 91092087, 125816144, 438264806, 645522119, 995380476, 204340647, 36511733, 667260736, 568561194, 971218134, 178918322, 949928767, 789381313, 509264196, 10263012, 476890522, 382824839, 3218061, 999536627, 700400549, 572949255, 57886355, 487664935, 731446068, 322009859, 210070872, 635250343, 760441464, 417263317, 220352282, 304817437, 315068744, 446843190, 490017609, 343743367, 105476786, 434737547, 994554761, 125915220, 258844933, 593206606, 992612478, 460559537, 821406314, 120308316, 125228877, 989891967, 763247003, 730689118, 750112393, 269886315, 861612147, 629495284, 995271377, 913623282, 978957667, 380748574, 530486543, 167045933, 937239766, 160580490, 345465742, 740087287, 199648178, 653218537, 72489425, 476356938, 915030851, 369847305, 488603102, 748491983, 668414874, 588278894, 839084007, 313513944, 823900588, 528754019, 465405229, 119394206, 764564499, 781682760, 768038805, 283974265, 919991884, 286246575, 411639386, 718738709, 942980697, 605508594, 829933671, 195292656, 217779951, 859693672, 454573827, 890381626, 358387257, 123208115, 784600970, 242228379, 521302177, 108688846, 257769185, 170722859, 611742154, 454304626, 120429193, 638727409, 712185096, 99864273, 982797992, 39289361, 802458098, 735885733, 138084382, 672038835, 429532229, 755424421, 11925113, 541359535, 3851220, 710612587, 859049326, 226824303, 378084817, 880905535, 512639926, 398079207, 476111746, 465709568, 111165360, 888093349, 203252506, 723749908, 203424701, 825026113, 444412103, 922233310, 560210290, 263342011, 185902702, 374098121, 714403466, 579892033, 926077980, 881590611, 592431918, 535563527, 660205382, 321451635, 650161553, 188291674, 475172216, 432182421, 136427279, 8881214, 33065180, 980582541, 830169402, 897741831, 833919490, 388757005, 209625960, 562298219, 841198286, 387086913, 28416165, 536234169, 936261092, 869795200, 633732255, 583690402, 912909935, 139543276, 295173807, 369212592, 128305827, 496678049, 601911890, 430842764, 192944663, 744982815, 458347151, 299367511, 841537730, 896767969, 590883800, 853102476, 291073748, 38199782, 169877189, 278260782, 6151558, 538848297, 3269711, 778799547, 216863126, 877732019, 40211908, 395565875, 848362778, 943910443, 960162466, 101405102, 355603238, 135225239, 557541527, 904773738, 342712166, 246845344, 699751661, 911194592, 648096980, 202600981, 321991432, 831954226, 405563561, 235136064, 101066582, 925943261, 315656633, 802292044, 755633593, 70336119, 692592701, 508200218, 340826610, 1750178, 287346399, 582669040, 18613000, 603477370, 429182991, 152439405, 548373113, 941685992, 122525121, 311596229, 677929072, 686740419, 551174646, 975646265, 174912871, 332086941, 835188258, 104665797, 923155760, 690799581, 463316525, 760937361, 408402794, 384524154, 238999250, 664811069, 34623069, 99809581, 791750190, 540255705, 831495122, 664024318, 467793965, 687662630, 505195105, 679195454, 712640518, 404407807, 18305707, 408796821, 94745392, 987122058, 359243208, 940404516, 349437398, 700858946, 245834038, 960239156, 804893602, 414277640, 524434576, 937737849, 862822848, 241356490, 448653891, 774625363, 700047766, 858170727, 468696270, 371169750, 812305172, 407078248, 319459080, 14575559, 869916696, 605051064, 458270927, 381614459, 220493295, 669826685, 76699142, 742313538, 578655087, 99348549, 638289611, 424994279, 483573056, 266479939, 311283706, 809813501, 306650477, 651105684, 111914806, 693116795, 906857002, 399146430, 786713284, 58050971, 804773502, 737274400, 334221521, 525382798, 480411780, 64547304, 830430168, 613743921, 810720079, 711016591, 587876780, 227859896, 79903628, 337415814, 766925192, 413953085, 968071044, 940492735, 859606382, 819704046, 12571521, 514887247, 43987415, 279859886, 994722731, 328252401, 976037706, 275183007, 230168557, 828639678, 605959544, 734868936, 388402530, 134605131, 34448834, 907706720, 474480183, 909648787, 296872443, 281198647, 209099299, 150879910, 859487805, 614744388, 951273151, 488629713, 747176645, 708701155, 770402504, 82304468, 272665620, 714995640, 183339898, 167226600, 992408582, 762936226, 656294115, 598872996, 13998339, 6350989, 532873732, 937248614, 778562626, 897640513, 615948966, 792820661, 406858956, 546914080, 588869072, 426952889, 598364892, 191297659, 120704582, 644852405, 708465877, 775149887, 945605391, 506612855, 717259397, 191960151, 415460960, 995152594, 53517496, 635862395, 783703951, 118419086, 333273658, 202619752, 956842788, 828608954, 247594391, 486314327, 935831027, 622762407, 341722913, 626166471, 453606090, 687925155, 509417196, 294712725, 604592055, 421356081, 9058670, 779205232, 392055054, 362551501, 426148834, 860250353, 519977462, 906522317, 930415726, 552084938, 616437629, 576705321, 7496740, 121488452, 161109625, 378495403, 107966941, 269582524, 873652229, 963390414, 360032608, 680211738, 30528034, 975781893, 947178499, 795226803, 723332746, 644660874, 505460180, 974723066, 17769636, 496865400, 88582682, 702819664, 450199753, 52486241, 905400247, 324565347, 897553650, 103472998, 88298964, 55675070, 349775971, 544690673, 731527179, 698848609, 885487562, 265062202, 18901143, 680267630, 598718277, 421330350, 814137289, 263434356, 841012098, 153092659, 667394861, 772141886, 945357666, 951279095, 909371941, 748956611, 6518243, 267842858, 85476437, 328802615, 800045310, 808027768, 771030694, 698097889, 430292786, 19650646, 404998264, 967260041, 712251179, 181992048, 347634203, 816234379, 117822975, 127505309, 747563181, 490934013, 557395675, 211291887, 223154085, 485661142, 711988747, 490386362, 668940330, 114222388, 21711786, 15885505, 498726207, 673204654, 71176026, 542442118, 161717400, 299082634, 995073525, 328189, 92569138, 997852171, 908947914, 813913506, 124349194, 789749376, 769205401, 269562832, 186636431, 426218102, 987439960, 544658443, 479448402, 359333995, 648863668, 239938482, 976105248, 382163585, 656693477, 622243287, 504517466, 190659743, 860406322, 768925516, 511815339, 458942205, 678796225, 416040575, 156452195, 964068510, 842839309, 905514460, 11144761, 432563059, 176911966, 456629418, 532858206, 34590659, 214199089, 147703879, 545256018, 978060125, 65582640, 149467035, 918430291, 379345633, 622068290, 396545312, 977416432, 63842925, 184455097, 204992624, 510279037, 614875420, 428249734, 841258722, 408456495, 647480238, 261208502, 65797812, 14725872, 816263207, 946661533, 542184888, 684113035, 84437586, 894534273, 254331636, 796284355, 672810683, 819989474, 500256200, 459552541, 28567396, 214257117, 525729166, 150776706, 586271576, 790295716, 626619327, 209071485, 489447744, 497595435, 155169688, 445608984, 776099390, 524387058, 852225576, 159753875, 813052077, 402968709, 762130352, 186273743, 174523603, 79216871, 192007964, 225019178, 35652806, 230036032, 948807646, 303228740, 951629767, 536049215, 966846327, 692095613, 340057254, 603574174, 915550365, 825315163, 882691915, 608723687, 367601953, 112038743, 13274181, 831989424, 869841685, 577819159, 259189514, 549749748, 810136887, 729113868, 690884449, 317160218, 823033729, 758518981, 307563808, 309914537, 459685973, 969543661, 663381326, 540739901, 212920707, 561781550, 504426141, 335301075, 955692024, 927550140, 405804021, 434328713, 59782753, 778018240, 984942164, 289451232, 634204391, 832757962, 121992967, 385449186, 344371929, 392184443, 365252327, 236371205, 878550105, 49434950, 261401138, 139863554, 334960475, 663375380, 449522204, 628030918, 640126330, 153095079, 274176702, 17137094, 622718747, 198225209, 896215535, 196291294, 788104982, 360945542, 482199517, 61780664, 804733709, 842723295, 533175212, 193714219, 146606031, 554831158, 740931736, 981235034, 385101037, 324038389, 98081803, 209652112, 524894538, 556906949, 598381091, 365604455, 818344672, 145038560, 659478050, 260009568, 319651343, 954795731, 280146749, 853755722, 219352039, 953565398, 90255264, 393981532, 346642972, 532744470, 310389855, 190245913, 328470773, 424054072, 403575815, 558839948, 334518467, 769231832, 12081507, 997455998, 771087184, 259508275, 868017645, 605782230, 686114316, 59878676, 512238943, 400104445, 321510643, 462025001, 603044277, 328512662, 600729499, 686569708, 81202808, 827955695, 90701616, 168089048, 683429175, 156114411, 604926801, 151662587, 499929537, 493827720, 509738148, 301464705, 501122521, 249712851, 30187108, 710309730, 586920958, 927459710, 401474459, 301164580, 633391583, 257401333, 259356285, 754962158, 892424132, 219763360, 509118939, 750925801, 861610700, 327005274, 381364486, 100711487, 347593386, 662209524, 172152635, 476244143, 322120484, 871870739, 719287612, 868609561, 651082445, 73636870, 255939116, 864788918, 733371060, 477885549, 447515979, 260996223, 132862823, 9583465, 559904138, 842922601, 327726928, 775409066, 354271631, 886723820, 420128334, 213515576, 647417009, 230672650, 454593239, 726203152, 936692197, 416445300, 456949911, 221639320, 685988178, 394522022, 262465314, 685031777, 902499325, 967273575, 719722451, 477426687, 462064336, 240435241, 808718934, 185781824, 832888331, 366910820, 961004930, 86059875, 956313269, 784726490, 953237198, 837845776, 214144929, 701312907, 262779831, 739743531, 892270841, 466574750, 1215306, 768824917, 746555034, 400290052, 559339803, 949538691, 969212821, 778764948, 367796259, 971832334, 318690822, 152208137, 488621157, 198313074, 638012602, 482728992, 803205947, 359705174, 410867432, 228602165, 352547701, 471210182, 908030487, 543127353, 296263554, 970864038, 62671823, 792301093, 70880162, 385321664, 97480719, 55827638, 477772880, 658189900, 120651222, 674288129, 333015276, 738755540, 405660289, 688503710, 639721734, 267102902, 315516912, 355321378, 389200539, 305027369, 787939731, 964381539, 451299247, 617738212, 670213495, 218233848, 832899665, 766846933, 898597988, 88124389, 680213005, 556496917, 451665291, 656825152, 185894453, 32044409, 901205796, 519326973, 960333651, 890480591, 434446711, 257679847, 830873669, 760349119, 603681116, 122837758, 320013743, 534585140, 873829971, 525098623, 505708863, 440206900, 323727428, 527038408, 649288459, 142139231, 290935411, 691579108, 198133237, 160094525, 701840136, 296034162, 563056640, 190092175, 139509085, 540792072, 344486466, 863838282, 600879284, 179593093, 187047607, 26776479, 168378073, 899360405, 828269168, 465261643, 781888369, 931994288, 834939308, 426677928, 647208354, 402244955, 730435532, 959581419, 996373017, 667014808, 657901092, 190731110, 711577958, 232526504, 333247853, 176727046, 10180409, 724262278, 502265987, 329312512, 18124509, 282124519, 630989209, 453709216, 177263908, 413111933, 289384921, 970880912, 182489879, 339211025, 146656008, 959513366, 629064580, 352030355, 414154639, 496749821, 627145848, 223333156, 821016984, 781966258, 261044075, 497500688, 16667341, 824170953, 597569546, 521679983, 400713508, 542701004, 357782139, 465914297, 927778533, 753680607, 257000935, 626393737, 965286183, 920432992, 252504013, 313553372, 107790045, 418907980, 510190789, 891476421, 769614677, 553500633, 199432169, 197001773, 365693610, 457245626, 366300036, 592104168, 130404670, 417948251, 603475688, 752343881, 323385396, 758556261, 220260721, 43169261, 846445454, 217129972, 639523751, 249537432, 842533304, 715835564, 368029558, 966763665, 196600356, 808554525, 630966134, 964575832, 175975053, 198385658, 691905999, 82557518, 650962536, 371470137, 733322132, 212450549, 598348818, 277425049, 625018232, 488610139, 806632339, 112046032, 490099843, 668142910, 8007771, 926932865, 137644597, 927858069, 967603834, 808921704, 447448488, 553292832, 75358558, 863777398, 386448049, 54718169, 18590876, 984857428, 6637357, 849668307, 966842061, 298091282, 405675764, 215956096, 302894366, 373660859, 427050783, 994494367, 123461746, 34863209, 320582400, 228039657, 227350705, 66932536, 927138285, 960435012, 777500193, 841763461, 958742419, 834611620, 597628234, 310277554, 549557507, 286537570, 168324710, 382027750, 480056019, 474276066, 964016314, 662968498, 466477437, 302044787, 385988225, 283093622, 134174236, 901225469, 533357237, 66107851, 932033817, 918427370, 682193199, 303783850, 536505584, 378436218, 884577741, 928760840, 756449245, 868856148, 146924578, 347061919, 43368932, 759003892, 254700498, 525319813, 167652958, 576862186, 568230661, 808175752, 681090647, 517335221, 115744491, 360093158, 195548411, 138863758, 255320134, 140781891, 3355627, 539127692, 477485984, 279642756, 212827439, 32411215, 375957696, 168360979, 827721473, 765078939, 519684530, 594643045, 608411770, 145571995, 624288942, 623497818, 686964868, 865361812, 368261800, 281062241, 676833381, 748659474, 63013760, 888319126, 273041799, 587057113, 890313461, 436125113, 334011451, 976651848, 641666783, 166676911, 68324818, 912419925, 885991185, 179084112, 152067355, 967964379, 665223433, 99675017, 940652080, 857890798, 241337956, 631334966, 554356411, 798617746, 462884304, 810305103, 865743755, 918301077, 459666900, 390159346, 861328577, 156938956, 924210844, 563610348, 675733506, 780882061, 254902242, 351884033, 218470579, 979702960, 918168918, 320142815, 510354946, 569524481, 831895169, 219892530, 955291933, 963487946, 593756316, 751803878, 235933334, 137372912, 701414471, 350178797, 840331820, 292255250, 778437193, 855730466, 949950907, 974426110, 638057666, 682528141, 173960658, 974426050, 130942661, 3680728, 781900206, 791752262, 570788434, 571937500, 576024615, 403075295, 325671507, 190549184, 51834131, 118931851, 777112959, 161141967, 431933896, 742318868, 966554051, 778590512, 595387941, 278276709, 369364210, 374910175, 732931033, 201132020, 816154433, 78344512, 171281219, 451949233, 95938798, 254429112, 495235180, 512190917, 788661771, 834973721, 769191113, 555989504, 634697822, 324023915, 54262728, 308268164, 963956317, 211215494, 965265015, 402168919, 942494763, 878356628, 665355169, 433200613, 593116082, 236650719, 610998783, 898596515, 820072024, 236299123, 32817204, 411369606, 660294239, 735398255, 828308462, 132688742, 860263456, 541041009, 643348793, 814442662, 57362740, 11329437, 926012197, 663274395, 365912189, 533682378, 86778572, 135840991, 804220326, 84048633, 567340831, 192877861, 878162670, 447153359, 869405959, 816583136, 837220686, 181511185, 527501805, 416855095, 802090772, 415264997, 206304779, 782998589, 710677099, 223001194, 821648496, 270480589, 539379758, 488220563, 663598987, 631501906, 255877717, 782518756, 582356745, 885145815, 564724824, 621925157, 981798228, 91670940, 537759214, 197313470, 712428637, 623713602, 95145503, 444888862, 196619380, 325269265, 937493096, 115028125, 690774810, 239349383, 30821591, 409016739, 331354324, 890720411, 165657003, 27230839, 518787189, 159291152, 981547325, 478229440, 438859980, 892943203, 515654505, 963680492, 813241553, 640581525, 300261270, 710772181, 681939296, 420590285, 773339736, 793648975, 708778116, 163098082, 17549131, 858269909, 679839283, 689574744, 41315473, 985524857, 431721804, 643009839, 653751640, 366601259, 852967765, 922073647, 674259799, 761557594, 479497336, 503459487, 774387232, 521490491, 343946280, 144326602, 686613915, 47523945, 873439231, 728096341, 579807018, 324650987, 604209431, 579272279, 658101437, 206619557, 520861690, 665576216, 753652646, 106162474, 972830054, 380650122, 743904305, 595929529, 832318608, 371421576, 921277200, 255115094, 669431855, 509724319, 780262251, 725484202, 383474789, 633449601, 817609842, 640875929, 90479798, 479683021, 309961059, 185939515, 26995084, 123719640, 59608052, 891831668, 18880936, 744592664, 118473497, 778359442, 401075572, 991940936, 310032576, 85186445, 203045131, 10216235, 510378255, 648314933, 22414366, 331306899, 947770658, 566069733, 821178108, 192355461, 278916308, 868222120, 432043350, 927694790, 850676265, 960083044, 877113679, 231687443, 245894775, 161437782, 11446780, 527937160, 489252326, 425075925, 779636025, 449832115, 850345230, 110959884, 45759193, 396290457, 739906746, 387216725, 96740726, 412704644, 613663447, 233554198, 451393215, 333180277, 749381727, 420429054, 804005615, 365635367, 828701495, 897281833, 332289135, 342352660, 924863360, 800029429, 405197566, 852267221, 15553068, 739412884, 759207705, 225942784, 769765320, 352884218, 727240571, 673028344, 836647418, 997907022, 53270279, 615012218, 324285014, 188148567, 39755019, 541480765, 135301229, 296236929, 538053163, 43120328, 887568298, 558802393, 703220411, 14714989, 600393119, 786489169, 385593632, 485970884, 612301041, 762741371, 345742264, 965666631, 689308706, 620567942, 305606042, 970182378, 449966262, 240799549, 890693131, 776850910, 282786544, 837092811, 613365693, 108641867, 501198772, 136167331, 675371821, 414487787, 837312155, 707109856, 57098028, 9117878, 197390236, 42677803, 961767030, 594580270, 268121797, 126723520, 85771910, 341853516, 965550367, 229817214, 417947403, 500697139, 3127973, 992123677, 800478457, 296325601, 518773894, 326517120, 145740299, 459029650, 267194016, 809465484, 261813774, 803872925, 127767352, 913436581, 947878354, 143743839, 842286471, 343116392, 952213924, 338774779, 192237450, 376995044, 750862309, 490022394, 170341363, 904319579, 949974926, 167656208, 645638757, 417204586, 498857434, 906498546, 111267020, 454841716, 887414828, 399669462, 14472622, 433560446, 4800517, 251755819, 957993788, 855591153, 212887191, 150335458, 222265015, 415296976, 561171222, 291313304, 734067320, 304959534, 792179445, 433750803, 505166871, 269487290, 262894618, 722062083, 139053914, 377187456, 411579969, 646970603, 63988099, 873407461, 757701349, 971073433, 370404265, 51898932, 170839042, 820177162, 859478686, 600060624, 88073697, 739885325, 580288788, 501248824, 247700339, 219505966, 176127525, 663257382, 161345183, 576755242, 997958465, 994292983, 40527858, 458203678, 142412968, 874483351, 572490801, 708171165, 480409401, 573943067, 898066525, 940516554, 258849525, 79768068, 653383275, 260585182, 376002286, 612802742, 665570956, 989654522, 824911074, 810038468, 645987213, 62252684, 875075297, 920638117, 803817341, 926587326, 399611854, 378455057, 46132028, 732529522, 305644483, 543588468, 978831166, 396146979, 868783688, 671001188, 593845997, 682412411, 427829909, 643698429, 165816640, 718503498, 704548770, 937509236, 633600719, 938362565, 20962985, 385649936, 820187364, 990047237, 834243732, 831265717, 741746258, 642309471, 639253120, 350268078, 522002454, 731680013, 887979839, 248308010, 498261779, 964439456, 135903059, 904136862, 172702366, 407105093, 124190940, 170891629, 510560155, 940887897, 660722101, 922946116, 928230895, 171193876, 40525908, 900880200, 322980942, 638140230, 965109389, 874455640, 804546654, 461173153, 658915494, 990231425, 552623684, 589927703, 104317791, 837392234, 801606919, 275880666, 896884885, 762720947, 362319725, 509621094, 265427423, 295814863, 470904878, 714843908, 331291711, 119378391, 569770270, 672690372, 854571984, 6930962, 704917879, 501308132, 150619647, 397515277, 926500799, 571360012, 289862974, 340696179, 389260147, 94876185, 972722124, 968801650, 512124642, 974316414, 326990167, 333508455, 171899811, 71722612, 399245390, 257237170, 550216708, 166929968, 659861227, 388873521, 7574921, 817880396, 654219701, 818979811, 970859529, 594887552, 693413423, 383185351, 649108248, 433320235, 67318238, 755626199, 544734524, 902970712, 236756220, 402372078, 144333028, 371301172, 613373423, 892504393, 801666364, 182775731, 119064113, 763555806, 952994622, 798178999, 660123158, 250165799, 585344343, 872499825, 999060507, 423062459, 317882325, 543399080, 59442142, 519706369, 630732065, 742995184, 754971468, 625677186, 316509102, 421355817, 154805335, 651052733, 67636401, 483352400, 498687117, 777681639, 586993828, 113254447, 892925419, 556152862, 890165736, 520703448, 723470494, 502966289, 158973500, 665720295, 324304134, 673096381, 956537903, 850361396, 529352931, 68430996, 76060786, 814053882, 481355148, 884143525, 224951044, 71575982, 406687634, 158209218, 226719703, 691048661, 474018696, 852600965, 532151719, 581367915, 681135648, 409625739, 252464427, 242025498, 440473532, 995215672, 74304806, 652648017, 355491018, 202256371, 796190630, 34513888, 205112298, 884379361, 516820783, 54669368, 937038661, 535744418, 83012962, 243649573, 235547908, 346534450, 841621802, 573781413, 636037209, 410395845, 402071241, 363368652, 856680971, 132186158, 278627411, 121882250, 767962092, 240267525, 602007691, 647082928, 16748044, 773377708, 655518175, 800191948, 210916821, 266303998, 902594749, 536426446, 759124394, 528311637, 950374430, 229060681, 507075345, 394113195, 679179716, 473759977, 204073467, 762006714, 91939445, 282786337, 353467175, 624217837, 435593747, 790162978, 923401492, 240430545, 531845469, 750853653, 792449081, 171708216, 64959730, 440301816, 124966473, 814853072, 601552376, 706270755, 605835611, 69151234, 95449075, 326075238, 508418557, 495003661, 60411780, 944637723, 964802212, 789043752, 351186360, 179203322, 366785206, 151202005, 529457183, 106006515, 369173395, 131754091, 841721451, 705027357, 705610894, 51932186, 906589056, 996806869, 691096145, 855335882, 551578511, 398322750, 538652645, 521800701, 807284618, 9473955, 587426959, 765372820, 316041618, 509010011, 765008154, 637695696, 333506864, 225595067, 996669693, 923414023, 693195988, 437749955, 21223914, 530850116, 563713282, 193670253, 435899585, 117131283, 670997449, 258272182, 329835087, 746735328, 433308169, 547506901, 16507599, 906340384, 433715339, 954583768, 973927563, 223632896, 538169183, 152618538, 233327644, 501790442, 274042557, 738589732, 641856025, 61275691, 359820368, 79881906, 264852298, 866861811, 698393031, 891121882, 375257927, 71603060, 375498828, 674065880, 248667492, 591690644, 987037568, 860867619, 591458687, 75745686, 311555871, 974115710, 284735483, 72289402, 868887207, 334921290, 645731832, 250228829, 258864393, 424041194, 613870378, 608907524, 883559915, 64645989, 35852669, 224715684, 681674326, 497460600, 230633221, 838628204, 559890034, 544845073, 499553112, 407784937, 61516738, 251250268, 851089621, 798379387, 462192239, 211371140, 944817496, 833657135, 923595266, 920237252, 648236942, 888258575, 582578257, 24554175, 71765556, 854572402, 367164957, 780438302, 243338929, 139460243, 882815349, 525178900, 13212357, 62357480, 938576035, 164207670, 938176243, 861339046, 730695535, 122741174, 19199668, 995278601, 116982254, 360967510, 371654701, 804072300, 545377003, 562947735, 453060501, 818791051, 957116304, 386520358, 525223270, 814380764, 167954065, 402506840, 169559538, 287576956, 338543678, 753668107, 640640382, 128110665, 260277174, 625845840, 320070580, 344580130, 30059073, 698790824, 819551520, 476046245, 581502179, 144260516, 199657619, 931999680, 244616813, 692982318, 297691257, 55778874, 515023732, 286819419, 186762386, 426284061, 797835817, 828835999, 61275512, 260220870, 26019778, 193334276, 352876054, 37465669, 128867722, 224095476, 575347488, 120708878, 381987737, 613085063, 93434485, 98806168, 390682050, 20641518, 608602520, 380060713, 911366398, 289159427, 897086030, 273868219, 318976501, 155916481, 683586629, 450950520, 61507971, 442208973, 41896123, 662992686, 68024608, 9146796, 851996758, 982371110, 14351093, 425840877, 45261906, 519502388, 497018167, 208741213, 51582483, 722481391, 263391514, 160126229, 831636947, 178511717, 527956136, 852389889, 231997792, 981179597, 669256815, 901874374, 184997389, 141360946, 797994333, 537387314, 399748672, 995335056, 659323824, 979119413, 769669380, 81636731, 337603155, 837990697, 988464949, 100711904, 939143858, 943682457, 716681431, 972646704, 145893729, 573573411, 292712043, 548356851, 249812066, 861308885, 127288583, 587553940, 420004777, 582832936, 34668385, 496989116, 516319137, 368057363, 806013465, 521333093, 818490427, 157021662, 851633376, 837298065, 607834863, 954878331, 885610307, 913721839, 837303318, 760747588, 59341387, 382289215, 711530673, 406873621, 420813265, 665740550, 677370913, 422326752, 648600304, 233780428, 458690253, 327134172, 459998990, 443077449, 559522983, 884005420, 900499342, 792390682, 928977931, 999640607, 165364968, 346274691, 285425388, 667786913, 83354706, 916637524, 754438708, 756190130, 417057738, 490796456, 643431908, 179746787, 147350850, 588325909, 603595610, 573040056, 774788865, 919310445, 243661083, 791195574, 105948787, 840322859, 614425714, 142496740, 207383251, 134688139, 460713073, 40161181, 160492821, 687252205, 983906764, 604441736, 878866742, 139302410, 590115682, 747586754, 820272123, 292046902, 655449154, 236380682, 958171329, 511186646, 751673063, 129707770, 112959947, 34133681, 403886652, 182755083, 933093911, 523553878, 92341063, 366202319, 446744952, 244216109, 164822363, 229134110, 183955064, 932356814, 288967448, 662286217, 815197887, 705079582, 896458201, 141214707, 673608353, 704373355, 558596024, 342999057, 820802995, 288115374, 324430790, 860700036, 695891226, 426529412, 15074735, 164634624, 587041625, 776225742, 471022279, 745839236, 981995050, 772911100, 6517183, 607111356, 585542854, 812969548, 918468428, 533146941, 603112979, 96618682, 860978800, 875728393, 864903378, 732189925, 63253060, 232473509, 204045808, 944899811, 635869866, 242093459, 482215936, 237373925, 81747981, 845764046, 452006143, 428844609, 974599461, 25210292, 519976777, 883511797, 959066663, 135127754, 44953230, 802206243, 694079055, 775620984, 260411207, 879925733, 930797492, 536490396, 545262951, 153489140, 102675311, 303184317, 49732346, 846830842, 652308367, 445135204, 29173843, 907558186, 266647263, 959801368, 182740900, 598651304, 563665788, 805132695, 396254361, 881957752, 247418345, 123536641, 270170093, 118761487, 641777545, 908889640, 413935293, 649795179, 908301166, 110384506, 983431747, 88646001, 23614606, 356422024, 545478894, 844295063, 787357962, 319705864, 818388187, 775806008, 387502033, 809556221, 823402615, 872740607, 265759102, 984851792, 523598928, 552288213, 761844285, 542165323, 383373802, 90265658, 454803279, 218974847, 947340731, 47595343, 974948758, 808705530, 590189370, 16044126, 803789662, 863080470, 230785862, 725030443, 211172950, 378622358, 75201463, 571299534, 343959417, 12458275, 17461928, 461347535, 96752543, 184087840, 837631442, 922657290, 23914372, 308787395, 817812888, 796988251, 828982230, 788774067, 145922823, 748144796, 31722420, 978153541, 703883730, 201442618, 995441004, 133307168, 29299268, 925468629, 573331215, 194554362, 276237215, 5331475, 137273581, 414117114, 486589381, 549497388, 312915281, 531479198, 894776148, 239933166, 603377714, 405601885, 623728281, 334370212, 47269450, 418762275, 719711934, 346710009, 812891758, 608348112, 107712361, 881223271, 918535620, 376366986, 379989253, 548264522, 656015370, 400019032, 796166579, 477178431, 408333136, 569799737, 779092676, 705285158, 868627191, 56448683, 591095524, 879859368, 690381258, 973877706, 225479496, 697704665, 752637380, 508416197, 301315146, 934404738, 892909462, 300873405, 958968097, 318483217, 158952553, 15657124, 240452923, 795663263, 123537597, 376542338, 990934333, 429535162, 937496806, 658455862, 495991173, 236903023, 182138149, 40611345, 255176346, 268350763, 367637839, 877059128, 447738260, 900919286, 743796030, 336422502, 478383906, 9816114, 350453674, 303130403, 369753971, 500701621, 624363370, 962813474, 931766866, 455626043, 279923726, 90942495, 498308625, 949235931, 861148008, 113271668, 936390947, 959256104, 81152383, 597065423, 713698587, 922937996, 203065046, 816626482, 890732369, 210853719, 809311754, 988856620, 97548080, 505149780, 847145268, 619479021, 963031661, 866122104, 549543562, 956201273, 810867958, 259637664, 162797287, 976602300, 135987752, 385086066, 527908318, 399889432, 428832979, 955342589, 146754868, 913141719, 373545825, 620705621, 998408405, 419657690, 207634565, 417751595, 874822290, 702682289, 551118143, 642648365, 843183184, 45387985, 850288161, 248224341, 887999920, 374169120, 848448480, 515827964, 435283358, 150592661, 426093659, 645533438, 849968471, 145768982, 900174400, 460750274, 288532027, 167301535, 138946216, 606590551, 60801000, 551986166, 441916118, 566033850, 86215233, 6445526, 552309808, 388167880, 755509496, 250371316, 504131602, 777554820, 51575130, 518565300, 256175871, 46924114, 152510771, 49226509, 785781152, 467148285, 923443492, 97601917, 42984097, 193993455, 230744252, 835867326, 160338666, 662374779, 335528122, 773022958, 157397307, 391348650, 682289606, 731179123, 916216292, 9484551, 155076848, 152631717, 290953485, 439559259, 349899713, 548099413, 367194243, 77920839, 436072474, 82264043, 475307504, 570814209, 544018533, 933030607, 889607341, 662432446, 80929264, 816073035, 274529858, 521776000, 600819459, 991951287, 539739627, 239228828, 574429987, 357592554, 885757690, 149365611, 174880517, 787834086, 536418053, 737965665, 791477844, 971155716, 771594531, 240711157, 729172316, 497019047, 989407143, 971282585, 510567662, 628182580, 142003534, 215032880, 434638202, 446845940, 31138963, 603873675, 66146380, 95499896, 744572773, 721534263, 308323933, 662972527, 136269107, 388783054, 104569918, 839524051, 907653243, 600020884, 862541721, 590599358, 91511545, 405913024, 396061738, 66168487, 596223699, 554678424, 458611316, 362403682, 850265886, 467663210, 694535840, 62207080, 375384240, 804693898, 770211511, 911608875, 243961456, 78410278, 358778223, 225509058, 650314367, 880852567, 867724692, 604381471, 610352103, 261731435, 608079215, 893562093, 37565996, 563510910, 939837714, 988315062, 78005146, 677503721, 29719927, 214570148, 484475619, 936714362, 51338661, 624569961, 367826594, 181125765, 505918631, 806158105, 642017093, 744104480, 269775488, 860172452, 80842168, 233255196, 350548024, 492010950, 939676579, 64458685, 956858495, 484766956, 397939091, 192748820, 395312532, 21197199, 128161443, 730581329, 952150375, 201670853, 83308639, 196634839, 375919963, 800707170, 781780257, 823343747, 522904943, 424913835, 59344486, 917959064, 667608688, 966242876, 236382204, 410320911, 499503331, 956957206, 646126345, 724174493, 729864778, 520498316, 496658578, 792248697, 854884956, 528833893, 410515730, 75601560, 101892351, 461851802, 444409508, 223914693, 608818727, 735190743, 691144323, 909650044, 226554431, 155578086, 820990307, 732816182, 574751190, 203815486, 296860145, 262626466, 176659134, 929414341, 504895267, 529864002, 220186464, 521409615, 724796178, 86600674, 496316163, 840817344, 7501278, 837669075, 985167443, 164575470, 72101795, 83829206, 469843777, 672060839, 93050435, 832905072, 618941095, 691756125, 431431003, 973262256, 689859886, 127951482, 472532793, 961145326, 217595911, 428196914, 560021241, 858514033, 824943010, 904045119, 402392115, 647892804, 168616521, 414407257, 641198895, 516120939, 508782054, 38169324, 2282850, 18586565, 405918365, 249762990, 690109167, 212979142, 430455415, 730401489, 264720777, 961702435, 62493118, 653544339, 857486652, 45021247, 415968930, 966602309, 304563776, 832671808, 969970729, 248597259, 62274505, 802965310, 535440916, 767251575, 898576137, 875976288, 789486196, 699868753, 201391171, 72211437, 447081022, 837938631, 915315130, 615579428, 284761557, 667743056, 617911618, 121322331, 627789796, 378607091, 78819566, 860651293, 607609515, 76717090, 843949774, 382179113, 123256883, 806808661, 176765770, 268268285, 824219900, 28539558, 423039125, 826948376, 250588129, 250800611, 839614253, 172466989, 622890385, 432201480, 208443434, 976813821, 874521396, 431939454, 138807788, 116917263, 71465593, 927177425, 598897172, 1709462, 134111862, 492411615, 722524731, 591799471, 649089409, 70196528, 392992952, 566093712, 282599348, 270431385, 799168849, 70338882, 283747375, 756431565, 794008162, 196641128, 974796693, 526808165, 872767742, 335392724, 749386486, 489152078, 429493777, 865348061, 164614889, 163236818, 269580463, 702864204, 663365614, 79374258, 152018394, 885441872, 961657917, 392380888, 228938363, 109646974, 537854819, 249756152, 117340232, 592622604, 143236157, 396813664, 911803591, 619966231, 544925703, 406459285, 456503416, 97640851, 552376968, 515108972, 72531436, 894101302, 711785260, 346785716, 667692416, 895274495, 967714982, 913452629, 351293404, 568595338, 14245729, 605525224, 817301017, 223724282, 668494018, 373068946, 512943399, 881558684, 200108455, 828728729, 808671015, 538249867, 377302086, 90579142, 75849605, 697831390, 27084027, 207824870, 804450427, 278703640, 643267166, 375300705, 224857742, 198506987, 214682551, 48761807, 745862469, 402239956, 687334659, 575950247, 730101920, 579515959, 981182131, 338638716, 560856917, 46633298, 10690791, 165875041, 45796935, 971972506, 45065100, 87578479, 663374284, 163681429, 682357081, 481248704, 930273256, 181957240, 788300574, 223070017, 847216328, 107635730, 685727707, 151178505, 507049609, 383889963, 40023228, 996816032, 509741872, 14115847, 723062844, 264100379, 296588253, 68980736, 15385712, 90981557, 25143707, 413701365, 531244170, 586090424, 346268998, 611388522, 81095689, 343569350, 548336024, 557962984, 333296082, 507110664, 64774327, 159075420, 28321383, 782344507, 203688878, 58371119, 564110362, 900451899, 426557314, 19822369, 167748377, 987732437, 575764410, 406318239, 653294409, 665955118, 554522684, 159348447, 837380891, 171201590, 247364582, 641383340, 304813270, 75118424, 214577476, 619924602, 360076570, 359846465, 121606488, 444735646, 926309417, 745335195, 323960439, 361198042, 991925323, 556958627, 242915238, 31596263, 838311174, 950154603, 494863222, 207590688, 296701470, 959392941, 275981651, 102534808, 838179576, 251383703, 602245989, 458464376, 714183929, 855809354, 131367815, 30998289, 96736427, 251535086, 300787687, 562815254, 229074777, 505730937, 782759665, 928535749, 865539925, 335441926, 266981344, 397520538, 63031943, 889784797, 64863952, 970981522, 498160722, 951945431, 78521889, 530551612, 197490965, 885295, 459403591, 774776292, 695271799, 964868216, 617474258, 788132154, 594019538, 779960764, 640033534, 839126142, 329602732, 599146784, 100001430, 374024420, 666350935, 443308813, 375842942, 831730331, 962112046, 732410117, 166771301, 522999415, 381587655, 428996210, 713271658, 481031579, 451831695, 566570241, 332122325, 89932323, 462068757, 333523170, 176680743, 215264392, 873508203, 523245504, 621309678, 391191762, 459323496, 633106831, 25104680, 930558052, 87886622, 251630726, 945848058, 832710854, 75021570, 588492176, 910864480, 489651731, 872239799, 393134255, 73851295, 483278459, 623412685, 665970618, 906172616, 618340723, 959644371, 349028573, 454240721, 700924056, 630565112, 970768050, 396645088, 850710448, 174351519, 22501931, 572141979, 458440688, 890213751, 867634900, 508113257, 994571096, 631377261, 693091753, 519527198, 322544272, 927659660, 476743132, 379583920, 459462450, 177492298, 558976360, 994107857, 489224340, 150829351, 53527762, 637520943, 944076542, 308012624, 205693031, 354348429, 615139999, 406830855, 69620400, 159478446, 240172044, 766125364, 280003971, 904063705, 757968916, 325223380, 33270092, 667178987, 777484406, 140240865, 403617518, 467020657, 424230387, 608839231, 9999534, 966505850, 667035798, 812879882, 140122602, 727218504, 275826576, 91930415, 659644388, 222387613, 104649326, 633683778, 250055314, 92082319, 680397896, 225830032, 610976207, 862263613, 249349791, 192870435, 744740398, 296808190, 190019030, 391478679, 629189499, 297663965, 619248346, 340278600, 689370749, 806864057, 766408980, 47653494, 745385445, 462080799, 681332164, 713754247, 456837407, 368629709, 115270735, 502383869, 408010657, 461299316, 144410168, 414177529, 227499952, 825537471, 182489226, 38652724, 182129796, 571753330, 71322038, 260543706, 802113946, 363166673, 879557250, 736852393, 287759177, 876136245, 112206346, 175624476, 438349878, 238300653, 546370687, 281679260, 433318855, 514496110, 74260745, 371732741, 921536200, 501400003, 882234981, 238065963, 893916423, 644331215, 893843204, 207216870, 31390715, 459894111, 715880228, 401021161, 296067737, 653142445, 746432399, 497767389, 583953400, 915869743, 166993547, 59527503, 973031978, 668905713, 373235937, 960521336, 345548837, 82896564, 620000234, 798158927, 199586094, 784528988, 143253903, 344391963, 438733875, 705023834, 492217490, 273424259, 67979183, 721041820, 488779193, 476024373, 256420469, 393086715, 975785022, 844765083, 712069481, 371384848, 885012191, 326603804, 631719382, 122276312, 23676002, 449615410, 943241127, 783595435, 264155424, 752199756, 929779718, 793646891, 898145153, 378126969, 174052281, 967599680, 499306095, 724592272, 593255613, 47588133, 290378367, 80872648, 976400915, 409852479, 67992532, 179375748, 930906108, 704934140, 905770088, 82809776, 993812612, 69438726, 59721079, 898729108, 790201280, 228307218, 238076460, 576205268, 8394152, 50735319, 724979183, 813597847, 39021255, 255269817, 387015767, 502177797, 522877337, 822060945, 435773160, 677063779, 88761571, 698027986, 205937150, 58578813, 960293741, 224694252, 481375727, 822694588, 846431930, 691398141, 385445692, 290628381, 217417572, 400317471, 204987283, 197123434, 369504332, 713151480, 982392520, 174184598, 357800646, 713830313, 488345111, 536724899, 406111670, 799973966, 810700746, 274304459, 631559971, 146226204, 690883732, 244410549, 65277055, 969225359, 206011929, 147662570, 268262442, 346959438, 193756626, 550527814, 822849115, 554987594, 75060627, 775701799, 797075437, 232648646, 437377424, 520099277, 477666854, 839197092, 34802194, 860681417, 454945322, 362632720, 91482570, 1346922, 230788303, 962708553, 94826266, 178768561, 363537655, 998534124, 584344726, 535135863, 670328769, 109504196, 549790291, 841969102, 238469495, 362039526, 780348620, 890266470, 501505057, 965195944, 752198845, 180614411, 574975433, 746075606, 838581197, 661428653, 364046394, 538756117, 210331601, 755004784, 321270807, 384127763, 736887061, 88242547, 192784353, 430027013, 980545983, 368942660, 98004844, 451059443, 443214260, 324764340, 554954027, 800031013, 272353360, 583846982, 905706919, 30602417, 283464928, 753764772, 746138474, 2191642, 67545728, 848236481, 503884392, 491252659, 498786394, 789596057, 628477469, 163471314, 442873264, 307597734, 70001787, 644028896, 730818008, 950990853, 171129838, 482480395, 874755720, 466720297, 509692500, 836339382, 191861692, 77020410, 546115169, 80315951, 965807248, 884973698, 203167631, 796663249, 443378538, 187486233, 387990852, 595792361, 208850689, 444559175, 958699608, 754269044, 732852513, 973232506, 860290736, 671221142, 989265016, 878355562, 827162688, 340117897, 197360870, 618095799, 935776650, 155095604, 203001100, 183878588, 315034924, 964959547, 480245096, 604293435, 806387861, 680113527, 947373600, 277446092, 459596193, 992782556, 699619610, 922289465, 500660938, 886288531, 395470365, 944864205, 693382212, 367397318, 562985924, 629255011, 985303952, 940575301, 113364924, 546787969, 368299777, 406945092, 62718219, 14406436, 815741220, 61695158, 504669574, 786138553, 1505647, 588767777, 536290328, 203271294, 407160654, 388306208, 292458743, 364239542, 484315709, 926551691, 544939608, 58680798, 993187662, 27953206, 570945027, 598558536, 972392653, 295803400, 616576074, 220310493, 517732420, 937507723, 934923397, 764150042, 155552516, 489106806, 617535652, 504792994, 78663147, 132087223, 298743721, 908587608, 414771720, 556425128, 225995156, 796280433, 372261163, 494231249, 750619426, 705109896, 206269958, 839427919, 468672105, 206815370, 401090131, 367808305, 425509903, 923355222, 882653487, 179006901, 114165356, 712647393, 145883642, 319219949, 815931664, 902434750, 656683808, 495914505, 87688213, 948455723, 25679996, 232498264, 375699054, 793266369, 154606436, 49882529, 36510228, 108603841, 415908849, 840200131, 781839055, 704231617, 584065484, 155350489, 712825211, 913807777, 180279795, 207314886, 171920059, 45234788, 863285305, 306850155, 304842231, 693330369, 949055238, 399411886, 95996480, 706996079, 135642416, 592804435, 865112755, 890810142, 201049674, 374814494, 852909287, 749306341, 165279858, 808442665, 216373937, 220285267, 834053723, 163550978, 128628181, 938528097, 783198353, 357737992, 238206282, 182328752, 406477500, 517044214, 426846433, 16451593, 805641889, 866456194, 746755280, 246515645, 591142466, 637924147, 883621225, 19431642, 33304927, 179272394, 327130490, 894617730, 435187300, 966004828, 347019991, 150889733, 642312383, 494389161, 656371015, 70736358, 624825524, 333112664, 368305759, 414803359, 338114362, 717715470, 770372213, 347242697, 78539843, 990647601, 912791511, 331908920, 436141351, 870505515, 997020248, 738693718, 893152670, 962811096, 479666663, 593356483, 317868521, 604756552, 2295575, 41260452, 2065586, 866156248, 296479400, 618001689, 96658089, 929014072, 50353254, 960801390, 941542331, 356679540, 281066668, 531919265, 953791268, 504329724, 581815735, 371145517, 70379160, 280547074, 330575865, 745595141, 406849654, 759820175, 514496312, 825134750, 716279675, 811200868, 925096076, 746674441, 72766959, 920637776, 713982243, 100516965, 149019013, 639887879, 332345688, 258462146, 329339283, 448883052, 922781796, 786254291, 633497995, 950502191, 716798912, 573286347, 167515566, 191525657, 579828663, 842977034, 813008275, 849590517, 890029518, 422918743, 518019748, 876193272, 152299389, 814164966, 410192763, 108877312, 649183551, 155663332, 894205730, 846869777, 808999950, 548438102, 509958761, 484971684, 756304798, 313567992, 821134224, 992770039, 589815962, 468269185, 936397192, 42317305, 106009334, 192085320, 995086078, 269727360, 556512894, 999654650, 623696287, 131027908, 659367209, 492772098, 905798345, 56498260, 780504871, 174171173, 410468795, 404922700, 247293540, 300453819, 86771761, 241595061, 456803544, 908913161, 820962136, 818275509, 940242413, 195556255, 596920206, 290841155, 720928842, 962650351, 851120282, 747365180, 185482393, 341983456, 957165310, 182550305, 731238740, 90238917, 896413833, 459819550, 62008988, 394590462, 914973632, 654541539, 923567249, 128358872, 373740636, 265275454, 384030265, 181884370, 975870815, 664041056, 588276999, 231768290, 107343489, 473362139, 584359827, 864059150, 586456121, 660010961, 589952053, 90000949, 830707668, 52242640, 514408887, 802800368, 975665519, 733411069, 411023843, 150701883, 506867504, 233252214, 100543516, 699562278, 450334811, 474520512, 50414467, 152313370, 358058332, 576493941, 253785507, 645675377, 390847978, 360127208, 71701887, 506790941, 543944044, 373291593, 249016077, 548016718, 389787349, 863366560, 979715452, 849053431, 569109266, 899288899, 420529827, 225933546, 806681591, 711736545, 25284592, 591401132, 101182231, 242572311, 78668254, 694486023, 15386430, 574162294, 757340990, 502709116, 413448135, 448798493, 684933578, 897001011, 859244494, 855875113, 616624432, 480500027, 722811689, 876760576, 363217706, 297172723, 847547283, 248044217, 662313666, 858437893, 387371874, 921875135, 692152414, 874764355, 332573180, 451541474, 669732071, 512225185, 375471257, 936461671, 245997035, 199386951, 752318471, 689198019, 821418668, 766269485, 702534832, 733892321, 937537632, 202104191, 972415937, 974327455, 114146315, 659985501, 281339937, 24359203, 704270742, 398030948, 587759051, 458902853, 356199809, 856478849, 523252160, 220406070, 30365815, 567011699, 850472260, 825073435, 339214730, 583536753, 608806562, 594522500, 933528551, 303172092, 189520814, 814054381, 113387436, 210557480, 779263304, 811639170, 339573645, 331105385, 215218344, 679269381, 478353651, 350528157, 278106535, 507490191, 654326957, 343661653, 241930813, 727714139, 946088077, 794034958, 208707594, 602524511, 476419465, 956242291, 915356158, 887223299, 625445507, 569325623, 580242928, 838149458, 567403944, 904006067, 998985567, 684076456, 727913110, 715085526, 112725420, 482427640, 788897704, 969997923, 278065723, 506021059, 38298957, 496113172, 503777158, 997106999, 464128506, 571314827, 126911763, 475763612, 477759673, 737383355, 818641277, 727223930, 165430750, 137948166, 945317198, 354976160, 133375289, 590700590, 782199799, 169494189, 299575739, 951584377, 364982626, 444309544, 160243111, 456789725, 607930218, 225813748, 157773042, 76703494, 253989042, 736351242, 472007927, 442568329, 600563762, 92512244, 750184612, 851256613, 236864583, 271108420, 447281723, 62925963, 158503424, 491292144, 652857420, 279166726, 891017777, 373343801, 108209094, 734119784, 498003584, 892727251, 72506095, 488927670, 7450717, 506825671, 769350627, 162867061, 506181949, 42822397, 531232870, 765410567, 834935492, 297179229, 934792014, 706054342, 794823780, 84978239, 466899742, 993206581, 698004665, 330459783, 851702784, 95164086, 729101474, 801088659, 504423255, 826161712, 275217587, 97551799, 326740501, 333400229, 248217849, 883318318, 5523328, 419177756, 701911667, 822492098, 324613462, 269270190, 495917377, 136806735, 324222161, 295036684, 522843008, 554185532, 163757284, 134964034, 650972125, 668935378, 655882972, 886041692, 673874056, 386776814, 573941503, 25212222, 422331882, 561413515, 951170085, 224115479, 400072905, 194092773, 596921003, 427611729, 515891008, 498974187, 641612685, 157798273, 930114736, 456694074, 298959773, 743308512, 960247939, 133889093, 196134433, 469952609, 543586914, 495069289, 671781924, 446144350, 7140390, 378204170, 147234912, 3291195, 630273017, 829558408, 205668991, 546357810, 341337177, 874969086, 112654721, 531077799, 542684757, 40214345, 639659725, 739409073, 746313359, 8350195, 827020479, 778676063, 403495582, 197375135, 11786664, 941112542, 450008277, 774925048, 188271075, 821885984, 885784316, 743637794, 660905401, 971354369, 287100135, 604637885, 296412734, 521220971, 402828864, 51472792, 141426236, 19613888, 806539194, 736039840, 731564273, 143618918, 737354059, 236491340, 77263520, 616776772, 176546391, 381956369, 152912501, 262594699, 412179951, 897316581, 598328556, 20990523, 200501225, 396829036, 486150070, 237770707, 97376287, 679622056, 307680806, 792633934, 128585358, 257905839, 32307251, 581199715, 221515029, 784885275, 714876395, 945925756, 903250776, 317830733, 392940838, 963765795, 487003281, 75746729, 759494684, 822119460, 632128897, 946501222, 210437508, 211574125, 307487911, 91374330, 347093493, 300869199, 629918265, 863398506, 691727507, 556097321, 911245289, 558657907, 831742211, 6197548, 928754438, 394757287, 192939002, 54011045, 462322708, 141826995, 253602635, 676714601, 300398342, 42660931, 314048528, 924880066, 671947283, 365257727, 246002610, 856836338, 601401807, 81046531, 902273265, 580489470, 439173088, 713176159, 544965871, 583974630, 906840000, 334023962, 993048428, 227500428, 82890007, 357271232, 559050200, 500847662, 382909240, 41555471, 482606795, 392867781, 968094403, 614888831, 667021159, 834537318, 475406475, 535130731, 76173234, 897459893, 820027663, 745923862, 197222401, 656373933, 944473418, 682892270, 861330419, 330917468, 805107152, 529516787, 842157965, 758540540, 899195004, 192866260, 298251198, 911024998, 281642491, 366305018, 93321393, 933652497, 187369244, 994763065, 974563094, 286465012, 6876626, 123240400, 899041496, 891524093, 587219766, 510648609, 886400812, 717605711, 832639454, 456586840, 890305724, 374322663, 476948864, 714521798, 806081834, 154913863, 184507204, 565017645, 359360942, 226227207, 943805354, 879713891, 28300463, 844046586, 706503012, 15031623, 602891221, 449994011, 429292701, 899847770, 909535767, 865536546, 622078150, 66601641, 567722822, 828035432, 935175598, 935782124, 325407749, 463188457, 353894608, 749505837, 158440462, 702923608, 420501860, 989087570, 503460816, 271912181, 921980537, 87500768, 227684280, 351077163, 128327765, 836013349, 82461624, 295456421, 386637263, 600156233, 502322651, 645144639, 332803155, 139250169, 724016152, 740528942, 216488748, 298324999, 69466573, 838604549, 119698605, 835581445, 559518287, 77580012, 109155046, 609068539, 679255046, 782439433, 16960034, 914500321, 188266170, 959524768, 375096550, 3094361, 818577996, 88376119, 295387788, 937771268, 241726717, 19483933, 801713227, 38845511, 909129618, 320998733, 947880729, 274312683, 583042620, 327502151, 392250695, 938063247, 433806210, 320013106, 247561395, 304723446, 611800364, 577060365, 518782308, 952367951, 819385379, 203754331, 711291907, 290605789, 749869057, 733529888, 633003904, 594843571, 192144646, 342115005, 412233315, 924583709, 97759251, 432096176, 406625474, 60904078, 950288812, 720563991, 986529732, 27726928, 826628963, 330110044, 680618414, 750432866, 704987127, 349851229, 957446793, 994106082, 964714593, 339325676, 568810410, 185071587, 902279601, 913974357, 494139547, 446348148, 709195114, 953091402, 56379663, 367959861, 281772441, 175196907, 193158275, 591846189, 893584006, 900705808, 703748452, 924796691, 955182610, 886452586, 65435036, 635566900, 28855687, 443491459, 690061446, 556798193, 9778386, 460625734, 646822056, 716713751, 730066421, 477579974, 146209395, 847190339, 176173546, 40613475, 50420939, 551346875, 271525429, 643454834, 986743868, 370646383, 665033659, 924577549, 546684285, 938981083, 624381953, 527738628, 542018238, 2038188, 145725045, 237290896, 997676911, 450178420, 912688277, 118435639, 11486528, 705900202, 202431677, 192518381, 671602045, 524597190, 472156307, 798191456, 191013884, 934641081, 489337562, 383463593, 768395147, 229903967, 631270075, 540498309, 16900237, 929809699, 373270149, 248241931, 748287763, 377585869, 171386530, 720126208, 398399552, 746424329, 780422708, 263989991, 144150331, 345958011, 184078779, 849716529, 276430122, 605908393, 326539204, 130170106, 563687452, 588859714, 674283665, 773268553, 140985367, 442740209, 932840764, 803692213, 776248623, 102992327, 419190881, 323989045, 553359913, 451617740, 599999359, 949584992, 352146874, 8417860, 650074816, 636395179, 768103782, 682960839, 553435832, 98017018, 806524428, 153285580, 876112460, 709111592, 603725337, 82707016, 864503674, 532395304, 763740367, 320428443, 379729145, 206378202, 680903181, 310883041, 445254189, 126149027, 273461883, 790776573, 376515829, 490534546, 318491172, 588756105, 312761075, 842506060, 139182834, 951966515, 79500949, 316087467, 752278281, 351106473, 348364212, 649911847, 858572035, 849559195, 766230357, 961896111, 988444396, 300011676, 612853334, 455255122, 140179071, 619331365, 954812054, 800697415, 514517471, 699778998, 758837919, 55278400, 516027398, 350535328, 781676228, 478056366, 349769427, 915507737, 376695263, 736494145, 149726433, 410799331, 311719233, 336582226, 464149486, 521637541, 192169181, 442290372, 652236634, 479169732, 155712251, 721111414, 680393351, 420535896, 798964537, 514829309, 988764062, 666186499, 853508305, 280825326, 656624234, 907253455, 430487118, 326331827, 545746561, 827210170, 373350456, 880494766, 936340106, 709879081, 671019740, 615892470, 443164028, 123400371, 326315738, 95200497, 627134840, 991822544, 437718122, 592920007, 904605167, 905083519, 726598280, 597140825, 42194731, 232502620, 230014486, 395654696, 673026577, 34860748, 8399639, 487126339, 602543803, 183266410, 486233582, 622113033, 226354871, 513926678, 57608157, 838319130, 70955021, 858358992, 905682627, 353579736, 735788126, 273412180, 793891862, 724650768, 237352722, 220878161, 286383119, 873889021, 448770918, 571576457, 457064700, 808457106, 917436360, 98816323, 6170200, 728387901, 363854644, 252591279, 274048961, 7956286, 637650320, 256711099, 945972172, 579818106, 78260003, 827183598, 478105170, 515727903, 782298425, 683020935, 286579514, 456793959, 241673300, 940919299, 151633926, 479483506, 783637880, 744563278, 194826046, 681909654, 39401860, 871867480, 657387639, 352880111, 58648378, 558020170, 617722759, 318251790, 170015800, 162945446, 572250893, 609284472, 479951416, 334825495, 697419076, 222518413, 396625552, 215892174, 435841502, 979726838, 498656066, 50438781, 402675120, 904655923, 954618407, 995106918, 976073668, 274170531, 452417665, 494657303, 48000351, 623413256, 489764874, 705184329, 54333014, 147217316, 380916964, 982762341, 347752784, 840431395, 512502012, 827240979, 827374545, 988905570, 6691096, 505607621, 851226644, 941414337, 139757636, 189794485, 636226035, 544814232, 838057823, 246615043, 857037689, 429695095, 563521819, 700350061, 314791528, 759275308, 106136809, 863215350, 890722174, 513201198, 169588058, 18407361, 244698626, 849811136, 523102482, 988046602, 937782887, 198214237, 614732875, 630068637, 776909733, 423614087, 954107868, 971491122, 626364901, 782341807, 205066338, 211662798, 79759682, 771776143, 296281276, 54867662, 182304810, 456507748, 875738804, 38934346, 513924246, 67624364, 441174614, 592597203, 887963047, 671412907, 81132428, 371466099, 369507194, 791536706, 405337304, 86703244, 176293055, 999075953, 745554972, 204186361, 893201172, 902183545, 232118291, 783284181, 583351046, 462807027, 880136338, 397240388, 429481088, 935167180, 94816457, 835991466, 140864722, 480726275, 578198429, 856901163, 610851517, 525053793, 56521769, 819030192, 953111395, 380870582, 979283515, 451835306, 177019966, 106203176, 40984474, 458810736, 35062861, 94798699, 410892526, 757973576, 760225808, 144301397, 438487129, 458087910, 617841306, 53862063, 881474555, 648725032, 625850869, 106846793, 59103321, 130287170, 55858190, 106256979, 467609062, 733529465, 921660093, 42651837, 287224135, 331009045, 739351487, 59263952, 997062136, 25975033, 185527666, 792017077, 891541964, 20833729, 813291921, 652900308, 212233283, 154043146, 364259532, 839047024, 470259066, 944742692, 41438365, 431113069, 571174040, 442001780, 573198268, 878497441, 132693610, 902642512, 23692264, 852735461, 643391819, 665958762, 221963136, 749511817, 579518106, 5509355, 630358796, 910782109, 113100991, 192061930, 597184570, 716798456, 574838673, 76997997, 479259004, 234621367, 931318381, 608674963, 29866866, 975279414, 502991113, 434655698, 407023589, 411870282, 624474665, 274221751, 99950408, 262106537, 716845021, 337077676, 609345062, 519122507, 304289114, 719951465, 176110, 954987274, 815425092, 71039173, 710080504, 81802667, 591535768, 229776424, 753255660, 366725518, 165047097, 551944877, 80392950, 640999654, 841446938, 272892163, 438868922, 559793645, 171495704, 60344413, 243984976, 764656231, 158874348, 895875300, 270565635, 304699972, 354588864, 184701914, 893713292, 933071872, 45850169, 525883529, 689305900, 242554507, 57949580, 323918702, 101033909, 627515772, 406634322, 136135600, 527436270, 112688027, 171304360, 393831291, 586183317, 275121519, 263520185, 137794446, 28125746, 620367348, 504148197, 538271959, 175747565, 185043089, 986833262, 312234376, 319599038, 734318940, 351400556, 216417579, 990681532, 112333277, 41996147, 774213456, 300932224, 453811385, 266081497, 61674859, 585868369, 171763549, 673828718, 473270348, 702710701, 637874468, 464683132, 582244949, 806149756, 764639168, 513696848, 338291917, 456000069, 627643430, 298904242, 251893994, 293059545, 954290084, 295451152, 760257821, 72194535, 771892440, 100458621, 168583877, 843097152, 759290206, 725400684, 566933715, 967502404, 176293142, 994525645, 325106871, 783667701, 924375833, 483334099, 290840983, 442401896, 404387225, 470441542, 781870448, 699909558, 856628449, 138270830, 15404944, 265728940, 544184140, 233968399, 444536340, 993221223, 451426594, 503397701, 360556046, 323610031, 298766218, 964482359, 63537228, 869661946, 558806744, 818817797, 915391262, 482475944, 503546583, 390943121, 633746812, 279591874, 924859066, 208413322, 879899082, 317222003, 513817540, 606889261, 799186780, 730547604, 322327396, 431469975, 793382208, 173561212, 786905107, 380400206, 373707612, 880782649, 963531696, 667116659, 190112770, 993269622, 964146561, 767628943, 804378147, 599274498, 303043090, 963770167, 699452920, 407487594, 524024414, 121796924, 209262746, 754647745, 669101433, 579471, 513069676, 737185823, 418631796, 695520704, 234254946, 773037087, 559865799, 481101916, 342912787, 283825443, 562977445, 340069583, 155078035, 980182810, 488659457, 202466600, 803091352, 936976299, 297769593, 949965738, 957792076, 298368043, 711194837, 597086919, 95857692, 664946225, 271093470, 34373913, 328645400, 563232451, 548159833, 370578326, 341724629, 970549012, 591472013, 847365157, 114268571, 722927905, 502447327, 255313162, 385122142, 927473524, 979135073, 591906203, 39050727, 510464489, 614585705, 622637922, 420776640, 509461937, 161789328, 792251179, 776709370, 567866941, 785129893, 490536534, 921640074, 900064689, 134379550, 564983414, 178914109, 114331868, 994623611, 898404498, 561919861, 576618887, 627898067, 580860331, 20603532, 769682024, 199635178, 575226037, 279515065, 803439446, 424828341, 261990628, 23433182, 733710688, 139333207, 767734981, 433105596, 660640752, 278130782, 109192457, 839583446, 447875256, 998085433, 846337512, 117751281, 617136025, 723718152, 419778792, 955213217, 619319990, 44924395, 816057871, 743856842, 984688650, 417707366, 535204575, 932319570, 499027506, 757931450, 405807634, 198275254, 980132060, 396039667, 773943660, 926781176, 402287440, 629006096, 538452985, 404137215, 136426050, 741093962, 753989209, 257877342, 572462575, 540950406, 344324171, 70391687, 778181364, 955321310, 587315315, 701178046, 840234656, 225094713, 308147716, 838792576, 577487562, 428502981, 653074512, 590610055, 22598444, 21969844, 242033708, 200611577, 913875283, 21876486, 864542873, 466860493, 25129619, 25861233, 497900922, 348987843, 146526320, 542646176, 435079770, 372207157, 417808697, 177347109, 664264967, 731449192, 270112119, 619416470, 501592599, 945285293, 775436697, 64684103, 881390905, 891804122, 292170167, 118540739, 809761542, 342847561, 45686286, 17746520, 222267418, 530720762, 79757126, 253665319, 52359476, 973757830, 343395681, 349734517, 779132365, 633288479, 428790068, 735405769, 936327, 233381154, 235513417, 230466169, 729889208, 642147090, 264047853, 357577935, 396460793, 17007473, 905811528, 651024950, 770437648, 31356370, 949893395, 452004702, 607769622, 253388505, 928791893, 483206806, 15949365, 70764511, 337582256, 799890148, 50790079, 800223418, 421005375, 833478899, 602288424, 994690921, 844945588, 727969738, 58278989, 478667095, 377425093, 219545894, 432428602, 999338857, 678478121, 179889098, 623037361, 575912807, 90750292, 523987250, 774673273, 2931546, 399612618, 797302772, 8047395, 421356798, 196796557, 825496749, 591440418, 577121907, 618773777, 363632593, 213617612, 853018562, 180469239, 961617719, 310023263, 742673092, 655797100, 861038177, 797995633, 465619274, 854917557, 123935363, 443643673, 394051857, 90279500, 490194570, 83428862, 430037524, 610041888, 311163423, 520620262, 169446134, 808117550, 632459432, 381251382, 346320498, 161215196, 704184307, 688824397, 514266523, 66767622, 586999323, 306657051, 753063585, 74564118, 993075793, 872789450, 906304100, 218396656, 577982969, 610374013, 702670844, 256984048, 872185032, 208700944, 565405050, 209770397, 111430212, 145382655, 141132443, 952829628, 915578955, 875330929, 674809968, 891091669, 467382882, 402830535, 105814930, 381274054, 84882080, 555155219, 71716099, 81058288, 113633678, 429414773, 643478179, 282900296, 180887696, 101813286, 582886359, 926302011, 127830490, 974561999, 678979957, 675810563, 375230659, 251575431, 800128462, 589823166, 573359566, 708197522, 912006365, 251823052, 490901285, 813346737, 487054442, 588098708, 160981422, 590826962, 167504460, 136972197, 824608063, 475195129, 889909517, 110895714, 160321121, 552603184, 920553189, 125616, 137676272, 396242954, 130709706, 531011987, 114316378, 577851397, 885029833, 108135122, 152740409, 739150447, 100715168, 411667132, 402176397, 703079243, 545106065, 978705614, 126221092, 650389554, 313746178, 264361702, 412538332, 34271410, 820810110, 797295926, 180883545, 703461511, 539699710, 458898889, 15423689, 394876600, 756894171, 204056690, 692078708, 42292733, 25739014, 131211609, 674999466, 75862537, 503311196, 357686483, 760240237, 237647953, 535155316, 242230925, 326263516, 754612079, 586766296, 843895003, 651214819, 285752803, 931658651, 191339174, 203873908, 733326685, 872130605, 25673318, 971861256, 555079522, 84129738, 573747161, 355027765, 954081720, 418893878, 833372449, 720089116, 363921348, 925613852, 452403950, 284839614, 602996529, 974354701, 904221851, 218635168, 203196222, 71410642, 196847096, 172839711, 894622134, 709570724, 732459572, 832165085, 943571413, 760445692, 763530951, 217170005, 501593706, 198934970, 224464895, 179615431, 737325133, 652926420, 658044632, 829284550, 407788216, 928500387, 846501560, 832629424, 730184349, 748959037, 993263004, 483341165, 760577570, 766246230, 185966985, 899426837, 430861015, 412592063, 221554189, 592046348, 370745595, 147080153, 429956703, 204342011, 534758139, 477671890, 383591193, 649229183, 803175346, 543054612, 983774914, 755405964, 851439346, 475030812, 960070022, 347640738, 366119567, 81137461, 287914088, 637020556, 696062279, 600184316, 597550213, 307991163, 627140047, 33844861, 741156415, 174973638, 574924861, 502004294, 491152708, 371933489, 438599924, 587503204, 193675146, 867012871, 274780783, 941157221, 449928147, 747475818, 288524351, 90529330, 290172614, 70302635, 82436581, 199034166, 780273590, 637808001, 477744689, 700640330, 972326100, 644125193, 552632007, 96183701, 678074581, 325174055, 945207565, 301517157, 888945905, 81566506, 337123444, 83307725, 604189118, 408153267, 10114851, 892666301, 430660969, 282910377, 645991093, 975760701, 922491341, 563114517, 413834577, 608867809, 702678873, 93860474, 240074889, 287619413, 687601022, 587446313, 190697662, 66710624, 674239863, 23759387, 77500791, 306766612, 409398851, 627519898, 892641270, 346119516, 284466612, 336799609, 782919190, 91984401, 341136087, 668652196, 264866524, 894091373, 910411446, 305660546, 850604912, 368603531, 564185476, 756115901, 581148958, 596575932, 723098293, 810811689, 913143023, 151599645, 854619381, 889156821, 529687085, 198061242, 364390766, 284844314, 996488966, 836507816, 377375165, 487047340, 85104984, 342239169, 531699480, 920465303, 597966992, 890413931, 54449645, 405975404, 344339940, 539846152, 470593371, 982871602, 999770783, 687080452, 333132915, 995794614, 700662458, 657704829, 458172140, 852366457, 892033037, 16098443, 403744750, 153717031, 271167945, 319392064, 978886419, 807618453, 276595107, 210811421, 786015306, 723887375, 473100165, 703954414, 919750518, 559613824, 730762418, 464465081, 172686743, 797703304, 81655104, 24445208, 141972075, 727565736, 346267315, 704764241, 282371565, 566660583, 765413571, 302560684, 855886849, 327446857, 268072995, 848079230, 642483112, 240138770, 63004413, 420838215, 428052926, 689971987, 17735377, 40056281, 542960992, 240791257, 938461643, 875019804, 704770908, 500797649, 847535470, 24200970, 869316303, 164334954, 635671329, 436468370, 292969748, 756640174, 417497368, 945587124, 949382707, 366282432, 613919734, 589840291, 448881684, 800194301, 556634614, 330028859, 401982489, 411682499, 221062819, 919817980, 781624956, 491813524, 503434815, 8759396, 44031875, 20864087, 661420038, 441518512, 370031045, 146092060, 708630917, 526594381, 875883167, 799549479, 649041100, 270405497, 214632309, 512954334, 651999541, 241597439, 981291010, 5848525, 666523910, 123504938, 443285828, 634468868, 436414601, 510406000, 801551761, 531835613, 348954373, 585619485, 521498960, 679477350, 930221422, 799957751, 189755282, 1457352, 415701017, 724751331, 4222728, 397645388, 782331041, 870241151, 716445163, 165413954, 328116809, 940753698, 398122521, 157281967, 841068974, 369059355, 899260451, 600164635, 618898110, 132983072, 652704045, 597401296, 743971057, 378882954, 545752642, 144543907, 779751315, 902491077, 64784838, 361065245, 237387461, 972159779, 981493685, 772257605, 7872904, 173966631, 829401986, 217882632, 185883021, 385536532, 199384449, 77521529, 104413257, 504844988, 9386376, 136063584, 25580340, 800622837, 580449079, 197138693, 810700347, 763720982, 710241975, 415333057, 856117621, 440012626, 114874418, 883151394, 988916521, 803164096, 250309293, 17129655, 347825922, 110647442, 483309937, 637003058, 386259388, 802673236, 83851532, 386284368, 603113310, 287899051, 314487419, 357672055, 132138283, 153757680, 643352680, 620940764, 729354284, 120444471, 317296061, 244079872, 837361835, 328559334, 20753296, 607766336, 275380364, 474104964, 304815072, 554859931, 702578849, 299080134, 359335896, 273841164, 425700489, 391169404, 737455720, 174690882, 348945851, 539790326, 123939376, 91293241, 646955702, 910041041, 546962165, 698330961, 950246518, 491395984, 873356226, 525474239, 363683933, 797599340, 457775551, 655032397, 255530066, 387557965, 331626276, 174616901, 631235849, 301788375, 176275910, 471394126, 804523931, 188267973, 111549293, 762548196, 656012815, 773597299, 925800788, 742909561, 698169694, 284889618, 507442591, 535598797, 986885029, 956922608, 360737463, 181535042, 412633748, 415334195, 996174643, 123053682, 260358171, 581047315, 134878294, 838183063, 302086397, 504235848, 500593555, 286601363, 97145024, 374340006, 644823136, 942490885, 444650363, 975303189, 90817293, 815477264, 624435770, 655205631, 122735593, 974382955, 310837117, 888064814, 865550878, 912960868, 769355029, 291185785, 826544564, 174428626, 304974552, 95866444, 987313881, 820023723, 967368714, 74762275, 926055517, 383165581, 419141944, 977896516, 513039177, 337388264, 170779735, 716724714, 756025030, 408834521, 306287555, 743885292, 426085681, 909637787, 387178645, 280140144, 91051996, 982026219, 483325865, 20848431, 872255607, 840925747, 479195087, 227339302, 179221391, 218557659, 459990279, 582485153, 318270090, 814083344, 162040399, 914181390, 169539254, 727379327, 384270613, 733185434, 506372503, 372506400, 839079012, 502848401, 288666702, 307741746, 308806047, 113220437, 486000339, 359901345, 232543336, 452962805, 775755558, 494592194, 403968024, 299804084, 652727332, 712368182, 401426835, 22803499, 59321479, 828497152, 487330172, 851301692, 749979448, 570884023, 240776933, 680251868, 789206582, 928290712, 524972703, 984929998, 399739037, 105898794, 782263936, 705272165, 744183733, 263769041, 73042386, 305403469, 182852066, 898637099, 403636833, 577839025, 382244008, 700411289, 427050689, 299408758, 57799366, 540377616, 314427536, 335922353, 678469802, 416008735, 238007752, 803793488, 369580307, 233746272, 62634076, 907724679, 149464782, 682476550, 275541128, 530586550, 632813157, 400233055, 733622268, 40415373, 648246963, 526588515, 63744929, 392975655, 471355883, 482216171, 270893265, 259914148, 763215609, 280441023, 354647789, 303590337, 573200363, 514364054, 195579685, 122440561, 273551019, 829526533, 452504895, 122859094, 835608487, 421139542, 69814697, 658438382, 394112913, 944889133, 78509925, 992671430, 691182454, 695950249, 759893060, 405924113, 234170727, 773956275, 162153016, 287942660, 73294111, 566679839, 894485073, 289269385, 289244823, 320653827, 433078264, 919780754, 867145535, 996622318, 707182271, 718742226, 893027897, 236205907, 434486781, 814512281, 224605077, 955837111, 875209639, 190787491, 372003612, 52574486, 942782287, 969564442, 254820388, 916114610, 679392192, 64306857, 765030639, 417169671, 530084215, 343565573, 233487673, 780160623, 507440434, 197036761, 171241425, 863155419, 350747029, 296274814, 476582563, 243377294, 83771912, 84289201, 242627975, 434498222, 180509420, 88337802, 185962172, 617812012, 689597309, 163826560, 879974789, 418932665, 788363400, 649435529, 313121009, 441247062, 804318444, 359354768, 16826418, 173443669, 690525261, 762296764, 701860841, 524413693, 506157616, 198111318, 343513656, 867236064, 427051449, 272919536, 770516746, 956084158, 84357991, 362770002, 543111591, 6570065, 759336084, 83210205, 464997011, 419204961, 655827446, 822604194, 424985875, 500292197, 464214774, 668355495, 191803752, 26604015, 130184027, 989627202, 811824158, 715379195, 314529946, 467392798, 719861441, 781605620, 866657347, 911687487, 204736972, 442675495, 688044889, 39555227, 885934716, 891401652, 538033089, 74522073, 458231477, 553377229, 863054851, 857388030, 571332261, 747981575, 758683549, 519140828, 154459506, 194488988, 301982461, 604978022, 868006553, 724188988, 164119254, 195299280, 626396112, 670359125, 716573762, 817495378, 723227450, 294748272, 539658078, 432647463, 850138223, 281278771, 467448083, 276647092, 829422390, 774123976, 107540797, 450361185, 654203837, 921742552, 837815216, 645729845, 567468688, 327854146, 991014820, 278670012, 705473149, 82490442, 307224677, 326174317, 340256878, 388069071, 334141078, 182695636, 549986981, 199293461, 40613842, 901920648, 383466863, 988407925, 830700785, 746709104, 760238366, 93479607, 788611170, 782637518, 294902754, 176853359, 681818848, 292104163, 390786442, 217312947, 727921253, 222861294, 580816464, 264604036, 467493624, 76113899, 424199101, 560298496, 477306126, 605602552, 762949075, 449547410, 504834483, 829741001, 41108046, 997569313, 732403339, 844256007, 699010282, 603681822, 156479606, 743981007, 758352726, 205084796, 975860997, 475132554, 994227225, 571362817, 321557828, 156850919, 418589535, 295176407, 156253492, 530911542, 814793153, 416053097, 974803241, 600568189, 891672873, 540255959, 594091194, 54205458, 702587399, 574414878, 294014328, 198722730, 627471403, 156221301, 382378914, 847163951, 17890733, 792085531, 643856183, 793920644, 910551783, 105588522, 208099438, 595811946, 940982753, 5536712, 497075722, 520374060, 666516091, 792872826, 262574794, 142495788, 259182803, 713513118, 918485955, 894362175, 641330324, 642854117, 212883516, 337874956, 913610201, 519256267, 617189990, 979845590, 63258922, 803629268, 903376767, 741564646, 109689142, 928663428, 26304111, 464039784, 410381781, 458037366, 153065117, 229454854, 573531528, 22025851, 751323774, 172569541, 420485529, 662898764, 97952645, 682156554, 964219953, 164396834, 196608774, 550941761, 939096635, 5595671, 945819150, 601219060, 120895320, 220433737, 582245488, 373112511, 930899441, 796692406, 388050432, 468529597, 581321720, 970821313, 782364856, 504663116, 121797561, 738682416, 692912336, 100115111, 952427749, 971436316, 492916765, 32770663, 732855395, 686561832, 157073175, 589552039, 845092955, 715461328, 612053455, 470563790, 94230660, 609908077, 900831433, 481053795, 681448784, 276359455, 47099521, 528093896, 727568067, 396437597, 877656698, 140024573, 896926670, 88006388, 666298201, 151838532, 2033748, 973324745, 110800056, 556600124, 645760244, 267441251, 422538960, 537711253, 957675873, 349779706, 798698292, 584433957, 156465950, 738708536, 550165857, 873940927, 118694024, 973012534, 256205146, 427547417, 887471560, 341036540, 9208558, 288934787, 333404585, 98357914, 118442527, 727299405, 846528301, 630314507, 98050244, 760308536, 967371008, 317970053, 836470719, 394194162, 662605384, 243892023, 503884319, 134918108, 203217364, 809675514, 66601684, 97114772, 670707391, 851093923, 445306183, 157007255, 137706639, 51874766, 9809288, 836573986, 336147778, 909833791, 522625770, 838020734, 467934858, 377725922, 745883066, 131239622, 757752772, 922920780, 193307292, 517953129, 801318804, 226474747, 269116853, 736749125, 441583472, 712146988, 685049199, 78119779, 164730875, 36005626, 305438515, 526928065, 945133075, 546176363, 943268166, 265829440, 679987812, 967023789, 292593413, 609171096, 502200795, 665814214, 877986797, 589801753, 333795858, 223793822, 235448435, 775197237, 915495777, 723189118, 161171842, 284458039, 756369167, 244348660, 122961602, 77066766, 431018476, 751710128, 93539935, 449093294, 993242411, 257619570, 418869751, 254725444, 825550535, 951282500, 222153520, 627202437, 875136225, 484941958, 606180924, 541677836, 539919200, 144890482, 543473800, 872283146, 672339343, 741884423, 532207743, 205957539, 101238918, 206822200, 206632778, 37217643, 593170436, 930477122, 822987279, 296056734, 883517457, 894679798, 217587536, 418943025, 316432521, 197388955, 910994248, 35491135, 817526725, 616506906, 282153566, 282280791, 149859963, 920344477, 169520238, 392541959, 459318395, 165725395, 489155428, 824192995, 594134078, 621206309, 524794560, 458113747, 816858049, 693641553, 764559560, 9431971, 955789856, 235586888, 409390605, 593408282, 888938179, 199200181, 786567341, 16168104, 518033012, 654953780, 391266117, 73514264, 253014739, 869306528, 10510685, 698656125, 65052317, 145576308, 196278790, 682487181, 771434702, 189870854, 407975577, 560486089, 413436509, 450397455, 460244393, 337998650, 332755560, 168200870, 347410448, 575146860, 346155195, 498568497, 620525262, 654249163, 981733908, 715020440, 161822169, 266879256, 301822116, 963810867, 201446273, 746620437, 608509347, 112438487, 820848191, 342520165, 237476236, 54951198, 821673979, 91876169, 52474540, 156321410, 302102009, 401354676, 865493891, 200927574, 114156900, 885637563, 534388200, 929428249, 136876894, 138575823, 878638396, 662501500, 618481625, 409405863, 405671081, 999189126, 936786431, 870497169, 107619032, 816050077, 940488768, 658333857, 965928108, 919875319, 649693911, 557885370, 505364267, 337609574, 24054125, 427882916, 235671981, 753538156, 96897412, 403111963, 62648200, 307827137, 260416097, 359700360, 353915650, 403412080, 903996490, 190394454, 117016851, 416552970, 555384808, 981423960, 179648810, 900219112, 855489246, 438029458, 304423879, 819282344, 814153105, 806928920, 503320427, 962934195, 714169196, 971770969, 919932591, 901019470, 427236479, 725070563, 886136187, 100873028, 938076539, 378221931, 965294338, 676286922, 179460046, 809548938, 84116570, 571957521, 505328100, 575991326, 938761141, 739617991, 32116666, 339449102, 755562453, 536477136, 428955686, 285029089, 608820846, 601632137, 585123334, 734265820, 275686238, 599819255, 177423985, 570998061, 843022682, 46197596, 751938049, 558791334, 401257299, 732591099, 620431785, 422106706, 940569562, 907639482, 31918973, 684976168, 919769499, 906832728, 629706579, 5997595, 558421320, 354740192, 846629863, 279217733, 904927141, 721592106, 480642131, 864266943, 10363155, 92889442, 888533585, 132239001, 359963054, 936595993, 805479966, 558933530, 171439484, 328379250, 216351890, 262227900, 669060313, 760898455, 216656030, 199691858, 807478091, 829257860, 576112661, 581201850, 847703443, 542764930, 163633088, 886922893, 521650120, 559782044, 896631854, 653997783, 247697422, 441578618, 698773048, 655025152, 89209255, 762715264, 792242005, 461633275, 527815311, 903630576, 647806830, 580480762, 867917277, 248389159, 621043481, 10280582, 15205142, 171378898, 579730760, 808231349, 821974455, 285993711, 829643233, 550141721, 469875199, 282498818, 678635126, 409538803, 608697256, 761061975, 275920, 151529951, 835714924, 637341464, 941908749, 932741412, 874815790, 291156686, 823515369, 662740572, 642989393, 234643365, 771932630, 209507701, 95551246, 392531924, 378897692, 963870317, 771717701, 560572965, 539365844, 57495080, 424541204, 1387998, 757659636, 161022548, 135539696, 603921405, 321438152, 518033910, 407329945, 860449205, 548810091, 517350564, 348160599, 939355261, 568696443, 797090710, 86182254, 214652160, 155388732, 530768237, 780186328, 988131572, 240600933, 213993042, 649001169, 74006774, 163822237, 538446340, 172837764, 996299010, 219609558, 513383176, 207339863, 657566528, 821005453, 798157684, 492787788, 35910368, 673828729, 152397120, 809715620, 924249074, 895451593, 497922846, 601730919, 523493322, 981316619, 688187212, 297344226, 313504134, 642505665, 757240812, 246782730, 961185890, 377787235, 972116499, 323673564, 577160537, 691007405, 865987875, 126391307, 43578183, 152613914, 29904767, 196543498, 985184084, 79718155, 387601429, 659136098, 607955437, 623590482, 871824502, 433540188, 289370567, 758267797, 534176456, 469460523, 581379132, 218856341, 6014557, 715612596, 166356319, 207590615, 51010290, 876276788, 360195180, 493755702, 768620145, 526075515, 988212109, 142726848, 497074768, 645637277, 973752686, 812506307, 151225277, 23675143, 633391966, 517068035, 46441398, 485634209, 441194298, 18800507, 861260214, 828895960, 333128812, 994424408, 473955171, 820017131, 432481509, 901739721, 689324600, 842986424, 802190135, 41447207, 59573252, 478217273, 846052567, 761976075, 218942333, 511105652, 142407174, 774646236, 637614523, 567480767, 497466427, 750729873, 540603479, 530437559, 584988874, 660103741, 54402571, 666039128, 816876089, 776739440, 317934038, 740793766, 789212107, 214733437, 687019066, 558878137, 855190716, 939200870, 684194903, 890025384, 116443472, 413137034, 851155627, 470948631, 573641262, 678761998, 241440140, 656359724, 294333156, 830424185, 853120203, 298105605, 939921781, 265531098, 23261188, 589689140, 696819440, 805351308, 810115053, 571556129, 549052546, 131385622, 449344866, 142678118, 54874669, 640037201, 215237806, 687638983, 603448636, 849615256, 686651923, 362917935, 813083314, 696494932, 658447348, 602576869, 117130957, 403640422, 238515790, 388807260, 148608790, 520525435, 593176871, 75585276, 563471824, 935397756, 900252782, 385952433, 273199043, 576278613, 834030346, 761976397, 364271165, 233910377, 649887106, 242802337, 510365782, 567292527, 974802654, 645992901, 918698423, 554554102, 185921804, 875850432, 321758812, 845410025, 173081883, 290270340, 955087799, 915214995, 883653151, 541719090, 465931216, 677385356, 230394276, 691454722, 541976669, 498909634, 969729317, 439973921, 908645556, 502113407, 783538314, 837494078, 309298839, 682397433, 441549997, 657530622, 839152811, 220499618, 139132741, 303832054, 483475412, 421549441, 541456843, 32556178, 384615327, 878831984, 487451696, 475697578, 783738654, 29882584, 849888506, 503913852, 798176312, 460050124, 642040796, 741899064, 368924735, 462641121, 11618581, 924308383, 786162408, 916427386, 450615234, 263080252, 732241820, 817550435, 540271628, 855309529, 368197354, 554525522, 658529597, 42743878, 880381714, 709207460, 820503126, 952737217, 994504528, 631526188, 924178415, 603978253, 907182509, 742516580, 9029989, 273210494, 57439265, 805701560, 460993834, 351672013, 183726833, 112797993, 147801124, 762554217, 683347526, 884048629, 902257288, 973159532, 725663790, 251232490, 579136773, 516612720, 661113235, 244220398, 200272805, 975925524, 495914531, 340209729, 290956268, 320347736, 427677733, 371315730, 706073974, 545021887, 196056365, 474617462, 381639767, 96958229, 805088621, 807198576, 300812239, 712538117, 826406837, 895589803, 797330133, 757972312, 524591877, 683951452, 351620379, 24965350, 962598, 870415403, 683863210, 522549079, 647397798, 67007187, 41352218, 186646074, 748563677, 206726951, 523757764, 111074272, 65517548, 100158056, 643015822, 748193878, 633078752, 131081096, 464316264, 191117430, 136804573, 130986316, 971229855, 638702394, 43887481, 427718754, 394398226, 955302646, 387252441, 526448692, 391872952, 732410214, 316337474, 760952251, 645405845, 633272948, 792546167, 264213722, 756363182, 724187245, 885830931, 170113188, 53479349, 588648703, 805129454, 153508046, 828025794, 605384453, 654857809, 49417258, 236308173, 162955022, 304937522, 797076919, 102322468, 443616652, 380946515, 913833011, 969259147, 16708547, 290635451, 489509990, 398703227, 933914002, 841431430, 151748760, 880897105, 405406233, 556285632, 12267923, 970664465, 416344822, 898070938, 353715705, 945894982, 300153580, 694507988, 10453644, 315942391, 437787218, 742395886, 479478984, 527607013, 756909401, 198530290, 866816354, 582383588, 481742002, 684420702, 561734360, 119140816, 77017878, 499943245, 953742300, 351354811, 416038421, 616083789, 435977331, 504262974, 565992779, 885876351, 919226024, 648769794, 71299482, 727912800, 689154533, 398971303, 649659910, 264870556, 938525313, 195028568, 317334537, 129113273, 291781852, 982764086, 260387291, 605784385, 786185674, 389708391, 32672301, 656037190, 632554104, 543238401, 293213932, 439325180, 646925131, 556078501, 5561402, 128555892, 314305561, 723907023, 425300405, 974612848, 583643465, 521145312, 806009129, 749797261, 686679576, 234855367, 982125126, 975307757, 611932369, 300997373, 110764665, 728474870, 52336390, 444665417, 709248549, 446953566, 786778156, 970383052, 186462569, 558112723, 519416166, 166466801, 885155827, 932109855, 51487355, 888887016, 418734039, 169651166, 858593753, 111622765, 58959651, 931413005, 437758200, 629419307, 519756640, 28621617, 589407215, 599281480, 941776902, 680072433, 562932108, 314507313, 816412373, 220953021, 439274884, 921341336, 300685323, 733382228, 909225422, 396303245, 45839793, 632057455, 961034942, 156697552, 719679307, 510940913, 56766032, 934400480, 130648860, 106124743, 505831032, 451729348, 59126825, 545594718, 939934495, 586970702, 214153924, 20804755, 440685261, 17789113, 21131656, 556073805, 126662665, 459475290, 742884887, 378653964, 610907683, 405210829, 40502148, 597987047, 442510065, 815441256, 492634522, 506692099, 775029365, 352272950, 296706824, 92038611, 798222032, 133573095, 454851374, 385886384, 580962629, 701013246, 179767459, 737054025, 146695011, 951491595, 351042545, 659560312, 433197950, 18767192, 653919448, 327768093, 556803382, 851126809, 897678750, 908969532, 113499832, 626023122, 381399481, 501711159, 298748806, 138231317, 817172165, 268910549, 337474783, 296624989, 812730139, 516760569, 290601586, 543565835, 161895936, 908705814, 227639620, 713047521, 750203765, 787335531, 157002566, 6417999, 864138854, 361351847, 299946194, 911581860, 203452657, 30861727, 628305270, 292723356, 857300755, 39990453, 760661953, 330547842, 887412036, 259801924, 42621544, 491737166, 437507721, 507694245, 850492602, 933645722, 337472147, 698301554, 727056641, 902798440, 386608475, 931874766, 318914320, 760069997, 918031191, 966272422, 556513246, 360225478, 857683102, 788864254, 575263723, 741096649, 736897155, 659118931, 903898527, 787322936, 894071064, 647174057, 463869941, 298373311, 400670612, 637696221, 964245186, 566837456, 27088404, 537852709, 188322921, 862233868, 195870616, 411627685, 241122315, 847372820, 623928678, 632129777, 133254032, 987906617, 958080238, 745293008, 673136545, 284682397, 400816552, 510879933, 584465553, 740802605, 412547323, 226269308, 823725662, 838936354, 30537476, 521849380, 266364177, 12645448, 344034892, 545687669, 689719921, 75123494, 307792318, 308853401, 524695167, 565988455, 937061022, 504034063, 410644571, 667429533, 319315809, 996162584, 230463138, 464376606, 692963156, 44771726, 845711275, 725573233, 40181327, 78763771, 274306497, 86547752, 52399331, 345558444, 783826968, 210412844, 568202428, 158843826, 608005318, 997663917, 268468142, 93842257, 441069692, 772380500, 273343456, 115714082, 378615492, 158841606, 334636018, 124736971, 836744154, 441395996, 268162148, 285477457, 225648839, 505520480, 714189279, 467771909, 987156303, 984940270, 465803572, 217718522, 590166370, 236940417, 574615618, 341130858, 905979747, 905699524, 304792846, 627432587, 180590247, 451837849, 54025721, 546452878, 134763626, 127133785, 816292396, 392450706, 601823961, 669869849, 912759319, 297595465, 260998469, 992091816, 809283320, 957476781, 424430589, 225339918, 522894387, 360698913, 961802806, 514868961, 727904424, 689750967, 82444652, 156602344, 245182824, 279532925, 191484541, 21657008, 541236305, 345173802, 532158773, 484792280, 735202865, 916636267, 916888952, 570403162, 836299017, 347938925, 947077612, 971054767, 396527853, 596142044, 191078159, 601925918, 738903631, 195984375, 966252007, 205656381, 801230, 641691806, 723534631, 357542719, 745365190, 98257773, 34336460, 997925459, 778202911, 593251680, 763553724, 279037279, 245900534, 308631579, 911711768, 341547786, 676510334, 385789837, 918896711, 177833062, 273576076, 878904284, 659137, 262247959, 527620050, 469609053, 515225568, 419394002, 700231218, 307599147, 93274196, 287039819, 628863771, 265297540, 953684183, 572513505, 810487710, 332868508, 818436744, 738858700, 408624833, 509891763, 415006155, 79222974, 299881167, 546307136, 678885689, 883247179, 172047658, 794565242, 279755761, 579397063, 329339282, 609038628, 567637238, 726457460, 826262450, 586466331, 574326336, 485575947, 78586381, 762731324, 866201786, 911092087, 365654262, 915364905, 879507056, 974697768, 435200699, 292066445, 430776970, 442367424, 23886550, 192206354, 463268041, 622452650, 719562152, 693738179, 557824113, 964036575, 825791753, 886542257, 53229884, 988149998, 361891653, 646343269, 100664835, 81461975, 447083539, 288419881, 705696647, 79217207, 542609316, 345563502, 664120464, 3883985, 439104768, 108706417, 481011208, 823632994, 643666644, 649122244, 132639301, 746735840, 420044476, 705186385, 89440790, 550629950, 860139332, 389790568, 371498534, 366315200, 451746564, 753069279, 97506919, 674656864, 48226130, 850780428, 643955640, 293265066, 180724502, 902569099, 706253897, 455037993, 664299863, 840518315, 716091614, 201841450, 629802917, 198178038, 81322293, 33865085, 747340193, 285637992, 117139759, 503814148, 554278823, 658793038, 600544411, 993681669, 150418054, 410427823, 80786427, 766186401, 62507504, 341063294, 249905300, 201357604, 546432728, 386639577, 586456774, 916411440, 996134562, 703870039, 407293409, 399957252, 859703390, 123306609, 865204276, 903901318, 207589780, 519569110, 215283195, 768862021, 707076805, 169141721, 214623806, 395960458, 300992670, 155181373, 826279857, 507113183, 771992784, 189535929, 9916586, 644240470, 149284505, 118143064, 585174853, 105715351, 912023848, 301105600, 352183707, 378289793, 445575039, 500762058, 101266553, 846822969, 655878955, 773778827, 887026832, 565957794, 386225898, 2331083, 701859101, 35416175, 173186280, 410749885, 801648957, 597437582, 265732827, 525336491, 316989267, 895329874, 672564930, 716821399, 634931361, 625596251, 738557839, 778931380, 494533644, 804108209, 366332334, 898023129, 493158748, 412397924, 642124934, 840278414, 253537524, 858348810, 835644389, 54986449, 94246971, 152215539, 7663164, 540537794, 542203928, 956884846, 681179506, 415704609, 940400249, 54842343, 623978651, 563514227, 13612854, 731019300, 566469799, 70834831, 146360942, 694108326, 515503915, 44376329, 352734173, 999738545, 629625322, 923629931, 411588392, 11917090, 10752218, 183412159, 332040002, 610802199, 186111417, 990191318, 580568812, 182974997, 941114547, 415251128, 155066410, 958675559, 374381730, 578155119, 289445470, 774667044, 971907319, 436340818, 947079211, 536199987, 685193976, 874528104, 305872803, 682594289, 154656831, 265054863, 103804138, 469451427, 143457579, 474774706, 540328283, 366715792, 719638880, 816688517, 588322811, 299052291, 203321282, 376004399, 803899840, 854592047, 940919246, 17572884, 340415078, 292861903, 905200792, 513470363, 698475580, 48540262, 258510771, 658133119, 530961780, 948774796, 827674122, 404162277, 599899408, 949396266, 351910733, 762725197, 323872672, 223625686, 526998994, 562132608, 799229741, 204434863, 524485484, 817868374, 465647025, 6247875, 255761765, 300850179, 374914190, 382009576, 428212841, 650180164, 269480173, 304107449, 886090329, 245491912, 167885754, 575134235, 912916654, 811929733, 951185954, 945641399, 648631970, 320767003, 558761892, 15317359, 404167296, 389063028, 522516940, 704562206, 885210028, 57619261, 283859795, 285301829, 235529066, 998270992, 114142564, 188133814, 859621854, 138128007, 986850946, 748936945, 202000371, 476469096, 181899344, 176779129, 385255251, 47970810, 164643418, 617506619, 115002505, 439962620, 938600906, 866934835, 156319153, 234528332, 526203453, 45291204, 463922277, 389396289, 824332251, 329791786, 369675826, 360790897, 35575497, 219357774, 312988193, 392803407, 417930237, 890064119, 393382880, 651885356, 715113970, 538965312, 631775057, 59428495, 545411269, 880957865, 891209720, 810650441, 925665767, 540594601, 326975687, 619963617, 503339974, 38357883, 24079497, 426246154, 183378019, 342883939, 898000358, 131194239, 249284990, 893893112, 404510820, 993328312, 234102472, 67750954, 841523619, 104884926, 218908630, 120209741, 760630199, 226817304, 13645098, 134882215, 772551551, 278969047, 472286166, 250670733, 986660304, 753546876, 190733201, 129394933, 777423369, 645813843, 580812170, 410426737, 948972591, 976434012, 124370506, 456645911, 850321238, 979636435, 695266885, 202533350, 42884773, 308868456, 347524352, 653738223, 220974887, 897532349, 754795629, 424761866, 956469914, 561139949, 316694867, 964973308, 896418436, 720105265, 371982458, 924839957, 527546258, 275222901, 494648241, 302474041, 137454014, 378735962, 927803194, 437625025, 785726726, 461507491, 723275773, 43068606, 190267177, 555376908, 637621740, 965727382, 199887494, 236955737, 422993932, 766812134, 159378588, 375944953, 407159445, 22991471, 265142038, 453921242, 245686098, 41722911, 882236545, 824552627, 387438312, 679034344, 697476589, 105101381, 578114181, 949267357, 201816077, 944578484, 533484081, 465201769, 896690611, 981105102, 971353440, 609743020, 931656021, 289710352, 905818837, 449674955, 355035676, 421871456, 61224445, 303315013, 143615232, 672924056, 235435142, 398149415, 53245814, 422246160, 713857394, 870241258, 331183866, 754109162, 109105974, 148637582, 791197291, 542076813, 460410898, 294093918, 208172214, 717318022, 780723940, 493027452, 176761528, 848954727, 597029086, 253607102, 888168655, 300230384, 357267752, 779210006, 843552203, 283071296, 192719520, 514757860, 65289483, 836088077, 680455139, 565494088, 107780077, 817880538, 708918465, 990294312, 998873193, 404366797, 920235729, 378887906, 323400115, 345644993, 639797650, 741051613, 952385960, 326073757, 105031001, 500836356, 82200536, 650990931, 804921412, 231794670, 249325796, 264543292, 14388989, 278354703, 815307437, 869223550, 432427346, 325991754, 333466863, 37228004, 816843977, 12945244, 494577615, 143648789, 763966138, 19627283, 728899617, 557780186, 54304618, 452551707, 231223757, 967672154, 821392482, 97920516, 56090157, 717910228, 222022724, 211281631, 552477333, 207377171, 937913519, 251763729, 52366399, 673908293, 320487489, 216727732, 396418046, 426267969, 432640184, 2653271, 15622630, 317012899, 573292140, 640392901, 340158485, 646232214, 56169021, 191771318, 623948080, 123896681, 694340870, 527328212, 116436312, 338670524, 680085690, 809505663, 282525935, 166375412, 774462809, 305690822, 926420608, 441520060, 229045194, 974545382, 24754030, 5224758, 129569187, 653434184, 580338969, 235218380, 228109433, 549146922, 815909941, 39072646, 212108939, 305484362, 400498410, 893478847, 77331557, 917031080, 17861031, 437650913, 889283705, 242212157, 126865088, 394464363, 203959967, 996593148, 834751994, 961652965, 690185030, 176114979, 359647849, 372879915, 499899610, 394971580, 271247343, 589941048, 949344656, 388169748, 818940472, 667545311, 668387866, 362042505, 653052205, 571731369, 959216509, 703264043, 967115605, 801752219, 661219914, 788728790, 889471410, 805579621, 711600635, 112556637, 820730050, 6267835, 954441351, 45071213, 82600005, 905145879, 425438110, 711137835, 82256155, 863965498, 218752920, 912555617, 492663173, 871990329, 713454536, 88988358, 221811623, 99539997, 759327150, 841678612, 452055332, 821650753, 535433354, 15609773, 127046468, 795323792, 130903729, 615621437, 927510082, 239149592, 877156066, 908856644, 877647273, 677671370, 815568130, 251466715, 800103858, 46795987, 153700688, 973586120, 715210728, 597548553, 412893283, 516218263, 746419285, 456012880, 22656739, 590596557, 798004071, 414492704, 826578212, 186170190, 651664295, 628063901, 413073374, 231340400, 644416003, 265576400, 219588600, 876210301, 617295161, 768704927, 747429840, 730354735, 698173479, 906935605, 825792321, 331942397, 564838587, 806409661, 859766013, 672910281, 682938632, 602788765, 503452415, 789778494, 810352414, 978335243, 888112450, 335478283, 400354949, 645815400, 164952373, 2571968, 350598854, 59326517, 382974582, 396895910, 801000606, 155516904, 993368470, 239682451, 599795583, 707112273, 108139698, 492102311, 71724967, 364245053, 920447503, 464759298, 742529312, 247982024, 662700348, 977117305, 400024210, 240620387, 233315284, 882613941, 644081882, 264344307, 716359201, 103765765, 854966207, 549994102, 542455236, 315566580, 187125059, 985853595, 166207850, 231428570, 635652625, 616229356, 385631727, 256990283, 942380173, 122119949, 98623276, 320343404, 156301386, 317567265, 398580214, 963735281, 850082950, 332282160, 804217200, 569292813, 603922127, 347295105, 999538708, 945024747, 517852971, 157597507, 688598862, 315327193, 699111545, 574239651, 670975359, 29988105, 854618360, 787043605, 171045982, 929524721, 462479791, 672556829, 129251745, 90524612, 345799674, 239976186, 946962485, 161690469, 357337667, 881707641, 796067517, 260985324, 361024691, 950541493, 327787180, 550501995, 238705492, 244822756, 170310991, 859732864, 847826085, 715343470, 650399173, 904574277, 861392497, 882643173, 988214029, 783748386, 763013069, 605363053, 18967937, 384405007, 574882188, 8860347, 80499174, 345223928, 733229358, 904778779, 120532910, 952481426, 642332744, 966062019, 101142106, 108559951, 778813728, 57941180, 798431188, 474110326, 77622833, 129451783, 563886929, 808694598, 802643396, 806476964, 408572770, 39717027, 102484704, 995337279, 799901792, 3092692, 46545971, 766147289, 45417025, 277214187, 939866332, 374288109, 585739201, 232432658, 885463702, 356051247, 816457458, 233664219, 56689412, 856920195, 205447800, 783991597, 969668490, 261979113, 599510116, 101943354, 517711310, 973984718, 789923479, 454799856, 783786584, 62397238, 941697530, 648441467, 192004448, 301429793, 407386075, 181495950, 264286795, 686963820, 776017512, 476391572, 916554106, 188686516, 202385142, 821376867, 920477329, 427599182, 815365673, 268371039, 323371494, 720212651, 314083316, 996896832, 52626469, 721845785, 693639981, 613797579, 367528838, 741866779, 780134562, 226559816, 633635811, 339699753, 908718352, 160438962, 150608957, 215533449, 557260448, 664743480, 48018347, 814252170, 957683678, 574116074, 158671302, 170865757, 633424640, 512779982, 509267255, 364359804, 989071842, 800460097, 851606352, 112827609, 329445167, 157827272, 359478064, 725648047, 305209188, 396547342, 970847299, 996871439, 76638207, 500387434, 33923947, 287536042, 830556757, 823159140, 996968606, 558866830, 64311354, 707555301, 276565626, 434796575, 769449179, 641811708, 204163050, 119302994, 923012622, 512515490, 866948868, 687291924, 496262418, 975115316, 680502282, 475707894, 784478850, 412999801, 250774295, 850709128, 789363108, 816112923, 658711368, 444594349, 588539094, 860162463, 260573369, 91711942, 604200697, 594721932, 738875563, 100947810, 395270511, 78631999, 75451850, 326362590, 334525755, 764922430, 761549662, 925457720, 247208724, 507970946, 365156187, 265959220, 705180584, 27795404, 181582548, 17863210, 805091580, 138504137, 527123307, 733404215, 331430165, 472485462, 474389200, 10423622, 817378233, 476341743, 401877017, 73133871, 682221893, 62842211, 527932421, 79071841, 248442225, 934661340, 761555222, 394608623, 630807701, 641475931, 332836804, 444445179, 112287607, 244468199, 659380189, 467249972, 708287552, 793925919, 948948521, 743088537, 747277728, 93305465, 38043285, 640098260, 129103908, 55920126, 26389492, 114563377, 476824684, 741384233, 662101199, 239612311, 214222064, 135253043, 525170312, 123862203, 814575804, 582435000, 954101234, 52701603, 486049485, 11001233, 334563191, 872446331, 180290544, 103391935, 47748363, 761506310, 728338232, 165364139, 292675948, 670813918, 221265899, 961511229, 576788276, 590121062, 339024118, 61541115, 909007252, 827588583, 681543023, 68120380, 925169984, 859583599, 697561211, 915879384, 196153172, 671408779, 155677789, 498069886, 367237965, 239158505, 692983284, 255116178, 180310209, 528558814, 464310167, 903926430, 670102579, 864080485, 34873848, 913485056, 134225604, 96844918, 499895023, 639957410, 990277178, 998384442, 953368080, 849432453, 783512480, 532323231, 940408639, 68213667, 578688444, 694816398, 144828793, 795192202, 445140350, 701620092, 595620297, 541733034, 81504989, 458608696, 766796389, 483215342, 126851327, 120646329, 715464952, 441402650, 65528015, 147509525, 699937747, 853204687, 437275977, 280117981, 160327337, 529470387, 25329278, 75439052, 288183883, 302776284, 287285621, 103419506, 349527721, 774655525, 756453403, 307720117, 9888220, 223962457, 822022684, 972040796, 788025077, 498497933, 86141063, 212829098, 114978072, 746631830, 670947230, 743091193, 464393998, 666483577, 376269674, 9310072, 665288795, 387705442, 876096417, 311315291, 822389481, 918973584, 622972535, 160382364, 802388142, 694974229, 461681494, 792409633, 545547505, 271288272, 772465586, 879279785, 583607680, 945504156, 430245811, 128460867, 640027682, 727619104, 938958103, 470273780, 232700631, 139269472, 34768139, 44757395, 770560175, 657032322, 278088081, 799399765, 17935408, 967352203, 481644816, 909586473, 648534525, 700914668, 269107792, 101417720, 484126550, 124624771, 401205571, 501103821, 139012402, 352480046, 375294413, 77495817, 874225305, 238668546, 514629284, 842691237, 864058537, 831979388, 745611032, 778222789, 991292334, 773838258, 622541173, 67562755, 929105207, 354751176, 644521248, 706940094, 914249641, 506762456, 981360284, 868822515, 65207406, 443820808, 343234524, 720482144, 159224811, 215845299, 471128011, 651344093, 158501917, 406199307, 703452409, 282061084, 175914983, 561326571, 343890361, 656677094, 516764153, 414569026, 352329876, 715584331, 517742834, 464312039, 38607916, 243827233, 639465228, 984083317, 759043595, 5946183, 926814233, 725465495, 637855659, 903287880, 686097736, 796375449, 819815108, 604996598, 338188859, 621069803, 586911049, 478967110, 803668524, 767377777, 332992652, 390361677, 101568530, 113998580, 424136307, 821662924, 463398704, 717063511, 925018824, 434148133, 525590222, 424933256, 120972523, 666072751, 459475572, 522246252, 367641555, 791528949, 898640422, 768184380, 436987269, 451640885, 991405264, 489547808, 696298834, 586537371, 884409029, 106017153, 683460575, 34878000, 232326793, 876280554, 744861020, 3985791, 258290133, 556759814, 764985232, 58506583, 44372724, 618718367, 598223440, 685130146, 289526212, 987049197, 616107649, 29690263, 980815206, 649409812, 796515012, 124602251, 491919341, 793399028, 438929508, 42945574, 121671526, 624872110, 132477325, 775135746, 55092805, 504671452, 716066845, 439281340, 742485317, 897090697, 218382695, 562493582, 995009326, 480414093, 644788518, 174912391, 520439214, 759439499, 143624332, 774605795, 759242801, 100794661, 390240645, 393755211, 453545887, 938964280, 509277755, 58210391, 818115084, 680321081, 653901968, 143580477, 423851115, 235539669, 27850330, 679790133, 794043704, 83640223, 249363479, 278723681, 386093447, 742793870, 437968782, 770533571, 970896170, 255010090, 197469818, 255262296, 563116183, 592601057, 440110211, 845100221, 414546249, 301357122, 361489770, 330736944, 907485447, 461643609, 773648663, 240390158, 320343361, 505216086, 623472075, 213903487, 135576473, 40064991, 411788655, 1840920, 141988426, 239184305, 32171950, 877582261, 693569957, 574812381, 747702512, 162004029, 513801210, 281481536, 984163443, 376646581, 716292304, 830209373, 560190838, 60201774, 293996917, 939046840, 595429467, 609323560, 27889427, 687591204, 327332319, 213290287, 968566753, 766037849, 738180048, 346781069, 714937594, 537035054, 49190817, 60776400, 320484106, 671452356, 377600580, 712151507, 905379591, 492788347, 31573529, 119034970, 47416382, 499986805, 997092057, 883218518, 986707384, 20544527, 297214768, 377905509, 605798079, 330328375, 587761498, 855147112, 802527385, 866188078, 603342272, 261590046, 451189930, 920718896, 389941613, 47978595, 930365485, 278274609, 727367952, 362972705, 434532496, 975139096, 819440494, 851939091, 520902423, 740993011, 268447267, 16572673, 92568091, 523657350, 712628477, 343327702, 63763484, 526644663, 609642160, 623247421, 986505224, 44859868, 617748735, 543155181, 290540618, 158569856, 138097237, 983851632, 323254860, 800180817, 265306314, 654193962, 777340464, 525953159, 391292030, 132562161, 158724389, 766151825, 912593671, 596524675, 220560875, 457076674, 136839981, 587610652, 744121821, 610841916, 698847196, 688641873, 908167489, 232087827, 760766069, 692780101, 796199665, 389839498, 122994260, 64583394, 374287718, 474570840, 604062880, 915040253, 101737723, 507387950, 360394224, 698270905, 543050867, 819159047, 203147654, 493870317, 748913588, 599930227, 372712669, 522948573, 720506937, 730338447, 251188613, 571088941, 336083838, 997563751, 350012953, 102967365, 607677745, 772418688, 599355590, 747049199, 147254690, 23398461, 708085425, 39726296, 666981245, 916182700, 554978629, 589921092, 623043532, 701823916, 828669212, 298697593, 430564600, 804270238, 180549926, 339796670, 317333108, 727816220, 658214179, 704460522, 873274802, 573195641, 279685352, 228609784, 284540614, 24794261, 220871590, 318165848, 43923040, 131765909, 790692182, 119420782, 256259197, 176291728, 936750992, 275777831, 586153463, 177356492, 618480833, 496064602, 309159897, 712958258, 220447198, 815906771, 276485881, 201112005, 379984956, 964653969, 436953670, 573736887, 956698655, 515241013, 23598280, 974957640, 396585973, 245951847, 162885129, 119813119, 871832009, 848877978, 770089916, 412222790, 248759344, 260135954, 771341080, 65770711, 202333739, 818832646, 500934545, 865556165, 904574689, 566045979, 723961023, 697983691, 424231845, 522542529, 908799095, 388926147, 422767056, 420288606, 645543548, 529698396, 441934947, 188390918, 814388254, 571322036, 719072867, 532954014, 136178789, 316508755, 107025088, 206235333, 346187147, 721577569, 149384247, 746371584, 366990611, 634343881, 336777425, 806792587, 277637295, 445753852, 749130066, 542437897, 372775183, 588813946, 696425666, 712930085, 401006790, 849858720, 16741050, 159346677, 715804592, 459654301, 652721672, 866832161, 899987651, 994362497, 939296900, 614055810, 518436286, 562235685, 490644635, 425839736, 133165913, 269527754, 538656181, 153453535, 199257143, 904907592, 198076157, 325513885, 233634466, 838949124, 330433635, 401876385, 433476665, 485457076, 815449173, 294230227, 971868852, 881093963, 879257292, 906308177, 16868812, 583203212, 621878430, 919168097, 4171572, 278484289, 76005862, 598710051, 604738363, 467428534, 905420374, 138571148, 648426182, 565451868, 898042014, 900155151, 436258856, 733440131, 647360130, 516509261, 844041547, 964858698, 115966133, 723782806, 203219400, 324265305, 834193866, 3753234, 44567009, 591958194, 40855317, 140470340, 611674389, 547493519, 458966953, 863530455, 957239824, 166816802, 717833013, 695488197, 538519075, 939638212, 46985762, 217138490, 994426032, 573027255, 199240003, 219521587, 491404946, 795965051, 647739785, 593484406, 645774475, 998861399, 316603956, 334015970, 156199065, 277881785, 367343564, 322759866, 536888885, 484449998, 512859659, 449267770, 414937317, 572548284, 932492888, 119750936, 87402336, 460108315, 98358516, 329787285, 872810014, 39548256, 928455132, 669531029, 296563472, 388158807, 497357565, 247981374, 855784929, 124109759, 448979424, 92063689, 818576108, 726976171, 302380837, 587855237, 150338427, 494610526, 676629107, 116445892, 149880076, 941071333, 140138890, 660891586, 692993529, 855232946, 724205835, 228833801, 717426666, 625756850, 725235400, 761917260, 985087981, 832005982, 249626997, 404386898, 766900415, 695809069, 173072397, 238674466, 966300197, 74778372, 586824489, 52134791, 444683370, 68701770, 518987833, 442179004, 489260191, 295751636, 400186764, 436436748, 922116400, 279199037, 37350129, 476283466, 677019002, 840465529, 317710899, 364679938, 609561085, 934781644, 180927013, 478325528, 1518195, 354925266, 157804922, 967881002, 110404971, 978283605, 504583276, 788884194, 352409587, 439874432, 86108595, 894858182, 831555984, 633262196, 361608458, 603787844, 894401864, 67588347, 955282098, 321232596, 831961803, 811739214, 822291342, 235189709, 355571521, 774167165, 110554900, 634495756, 441048726, 683852900, 467536908, 757820551, 450364546, 359943670, 541292725, 616730170, 364215171, 194950245, 905539426, 32467052, 974753387, 173867455, 680770155, 538710134, 336165126, 691180968, 532497703, 851480805, 45552032, 660243735, 262173003, 852367623, 820411122, 247064282, 226022657, 468945962, 957224612, 911234628, 833445905, 583465831, 803315496, 933144749, 63963348, 482357191, 901245675, 142302739, 78936835, 10282609, 949064088, 697598818, 948059324, 447894080, 130103384, 190515121, 357342639, 796622031, 903531182, 263271238, 139605615, 8975606, 370197896, 214190428, 309856587, 739768377, 560994496, 840530545, 450318864, 403497898, 683678295, 500122575, 830513135, 16906061, 792583592, 282385304, 732124527, 790791423, 780286521, 67811702, 424617995, 41699355, 340241987, 549401840, 977558284, 140092780, 664009357, 649349092, 296244631, 980925766, 4507653, 325119630, 579717303, 16442617, 356659753, 678360892, 434144571, 869330975, 739834043, 15984418, 710733955, 965542634, 234127305, 978021652, 791785593, 323371510, 828211232, 239850107, 657997213, 999955106, 233794004, 362023631, 492544452, 92993003, 839241655, 159559090, 630738083, 657448605, 163147658, 612116259, 953518362, 505609295, 240673666, 917551, 156779495, 699301213, 557163852, 303347976, 609314130, 799264734, 535404560, 70436457, 104014611, 339085468, 834223318, 152417817, 515908724, 905142610, 157245258, 364290395, 113683839, 602228989, 47108946, 287901710, 260578798, 198370257, 36941070, 786264236, 125698838, 622882204, 918232106, 156631231, 288060772, 337527565, 130180166, 298889466, 15526979, 94608468, 914744510, 554422860, 667677542, 964945962, 794759785, 913242365, 148174576, 705412895, 7469369, 349004594, 503101429, 673630858, 271386839, 66634622, 760954883, 831793829, 399926876, 120005257, 41584947, 550115943, 780432201, 509670095, 682938837, 276156646, 123189029, 722304837, 258990834, 367334992, 7809574, 769182511, 802162627, 835323110, 963319302, 9536898, 963191189, 934708460, 66366999, 674289951, 43334554, 331249112, 791847234, 882819144, 407526595, 709617560, 682465646, 61906845, 533053742, 645217138, 940058194, 701580798, 116861062, 931802628, 548177941, 512037742, 447740029, 23120555, 656664651, 503212915, 80708922, 594503441, 753650372, 892828694, 78637642, 690532243, 315608658, 852051723, 790981844, 251796526, 44015398, 936785177, 737818343, 142810275, 599858505, 173834924, 865953771, 22860977, 743030618, 846066600, 205241179, 486878240, 765925414, 177020716, 97769569, 388644524, 172022383, 405411417, 172779253, 314674339, 988150960, 95342994, 601863105, 813551331, 563602503, 313915571, 971067927, 964474094, 703291048, 249803535, 471813462, 766968689, 189545469, 577903652, 792433140, 571398208, 757398464, 230016505, 181228708, 336750987, 383514763, 975664416, 731319303, 361210060, 623363688, 816329962, 312049955, 764936676, 440212440, 798866617, 876280366, 589528732, 49259251, 599395189, 388823444, 84937098, 331574513, 763715993, 341547656, 226998564, 636359056, 245482826, 567673362, 406168126, 611268057, 707476641, 152751992, 799798111, 153745931, 47931840, 665262714, 297991184, 451203387, 25739880, 967458497, 441282375, 817078939, 176602863, 61032732, 966123974, 643193415, 473346963, 663064272, 269356877, 16264986, 712721472, 189423555, 741395021, 345536170, 556341549, 213250633, 168887751, 625915700, 531098881, 597953140, 396592901, 114263738, 17603131, 125718555, 823387910, 879650370, 773644914, 301485393, 9255607, 267844422, 924540687, 758964745, 136745738, 460960341, 280907009, 364725039, 550542214, 300625915, 614786911, 21864651, 141138137, 199889826, 327036908, 946316711, 602837947, 612045339, 894883655, 430681861, 961056738, 176838223, 813208160, 568948954, 555118245, 367823104, 816901031, 151750003, 432291188, 996760941, 876712217, 170167389, 305787121, 484379667, 31203598, 389197464, 834246950, 635627380, 883768169, 176287609, 960208862, 836850880, 802307066, 318798308, 765181229, 694087892, 727581990, 436205868, 716519107, 811919628, 211009811, 994395838, 940320236, 900061348, 226062442, 135144726, 481425955, 500770664, 797581090, 624060705, 728925509, 293753323, 530564638, 460259890, 247801027, 468449272, 94555702, 670051292, 394570720, 627483323, 926972208, 537153924, 167938980, 356381102, 43020379, 212787393, 509625299, 88004907, 684819221, 125995679, 389294933, 659084922, 863185842, 311081699, 355530842, 571398790, 939225259, 102835229, 342198592, 211798715, 963926783, 486126396, 657612504, 974424231, 891219130, 132450478, 891889762, 229254918, 401064160, 927342323, 626089605, 33672693, 122795846, 123017501, 227343229, 746153554, 14691446, 614721354, 629619102, 73736575, 746881672, 540698963, 240739736, 361740480, 130496714, 896380772, 405951301, 497450401, 733900756, 916069404, 607541405, 135190654, 955258701, 988310199, 304200761, 561922221, 954205796, 14589448, 193982789, 316678428, 817157497, 113149294, 785778732, 63006515, 712975977, 129239741, 155378047, 136274311, 401595275, 877464406, 79188634, 417703405, 200962664, 429290488, 217431189, 599223542, 196357188, 824617184, 56016053, 735173634, 822378671, 363675394, 73943985, 982088714, 887477663, 793720830, 252910209, 351829095, 257583443, 432778492, 168047138, 516911784, 242643183, 322610230, 560830925, 286837463, 753895107, 601381501, 403315308, 575927677, 158808236, 959297723, 337469814, 584870237, 97375506, 871254657, 203099646, 229377847, 37503469, 248579459, 664934909, 76372313, 26266727, 554086901, 211050772, 874997163, 738982657, 528661525, 212409332, 683114083, 30075946, 922275571, 937389792, 304239250, 518009237, 486552091, 654790295, 139261818, 651194208, 946069977, 549874863, 791281080, 104539570, 493866648, 86886377, 631311987, 433480457, 78337724, 137913852, 770257433, 447216236, 528068994, 866287991, 946627154, 793872290, 911816135, 785613854, 548735092, 732204616, 257626418, 954284101, 660379743, 981753142, 291626088, 491361573, 137584635, 996874037, 562080907, 655509140, 765790272, 542990370, 752481068, 959427753, 71429333, 856484891, 697743668, 951641032, 923595919, 372191575, 61193218, 949450805, 349344555, 982358099, 233871679, 528214939, 278880838, 935615313, 866972277, 819626310, 824571952, 187060639, 323811002, 359304041, 962144767, 591619810, 525770940, 56782568, 562521658, 766010183, 945101001, 3105574, 448144283, 168205974, 671452312, 243617941, 91010033, 871622698, 961028825, 699310254, 117214327, 255112656, 338727512, 70939057, 982342803, 363773571, 826893518, 851029416, 812095542, 617915439, 343283119, 446557594, 239537801, 663605454, 937539164, 32386612, 40489029, 42359935, 783260727, 416378698, 439983523, 325651296, 897193724, 723241247, 340874773, 126683829, 990991720, 80575175, 369276313, 134838803, 875993561, 348205566, 789298596, 608944316, 75963077, 914472982, 990354423, 429164543, 995928990, 806552268, 886459879, 989765902, 519830138, 517914654, 401859944, 995122110, 192217950, 931601391, 766297398, 17415710, 544700302, 998939883, 307767652, 491752022, 46452668, 72130753, 419432348, 778682122, 402985843, 921668700, 610848334, 633693961, 724118613, 45128055, 141188815, 950906411, 434595489, 126462542, 242240845, 796306039, 191738063, 124158342, 654686099, 132117609, 503500865, 484236541, 690573439, 649362674, 664985262, 198900202, 410232902, 16602332, 61752711, 340826712, 538675354, 888598561, 949947703, 959626481, 355320143, 87882594, 51968756, 616953324, 671905395, 69664352, 918901303, 915892455, 779473729, 787640228, 517456106, 374062765, 3973408, 571611894, 355411599, 229663280, 474707955, 804569187, 281658393, 163479671, 486825489, 457435052, 108763306, 999081945, 905573109, 57304786, 783441733, 61119711, 206470905, 61069370, 276534535, 332936764, 701988125, 987468924, 292327689, 541819726, 291659987, 201967426, 591821046, 54882261, 741730089, 719505095, 442102332, 131677792, 302682221, 44393504, 846381341, 829048839, 91731486, 947652617, 400352444, 624135589, 497452928, 336611373, 472680380, 6684090, 743645320, 14733718, 817001123, 179771299, 315948267, 537244051, 350582584, 379135433, 789078578, 37934467, 156733318, 136687934, 535746813, 282532590, 460513783, 11476664, 142834166, 758776889, 94274345, 483321682, 527157344, 912625437, 852369692, 157756480, 710812809, 556900405, 403099718, 866247828, 580852893, 231393537, 86643448, 292669082, 2204641, 939341007, 78011798, 348279340, 966862695, 974363417, 39611459, 126881678, 483561187, 828232988, 353047694, 600004479, 839082077, 14089812, 330327702, 82748855, 523564242, 395905186, 475123222, 804046972, 618836125, 647394688, 640251357, 542373591, 300476409, 100209169, 541348340, 357127864, 517162573, 461135812, 72820014, 381051787, 984155377, 964956747, 490389744, 864379793, 171892821, 715112494, 484836022, 397525841, 995383445, 543822151, 651695076, 836473629, 680383703, 144024885, 538879337, 542453554, 218592807, 480364913, 204919736, 18259777, 694125666, 857197825, 457668159, 211971700, 69967338, 637134983, 124128403, 196908319, 841238014, 658857655, 205175343, 226198970, 162770913, 706672349, 413741800, 118221375, 653893549, 72262490, 695247839, 343686447, 105088779, 107570769, 89601816, 501111576, 314319100, 380203093, 952540620, 485119682, 345483428, 76486395, 542624915, 729832951, 627251279, 649812672, 184370589, 157053730, 709243610, 382090244, 696180866, 369477824, 382886148, 102492061, 684707506, 224913340, 602411116, 75992739, 849710585, 420698557, 652410285, 531858883, 261754753, 99495572, 133925223, 323837033, 391164673, 525930473, 777121047, 333823768, 511726624, 196385938, 784197560, 113853560, 998640600, 829992063, 199930036, 774425380, 444723793, 951526354, 776389321, 535659766, 412105722, 10524815, 402792253, 32285143, 794067740, 192615598, 661290154, 986010545, 106345723, 559998806, 529041703, 16153211, 991771996, 546224422, 183546967, 631989071, 76728391, 329752254, 190922075, 724278510, 825539964, 157868048, 968537778, 399460434, 316119901, 7589001, 705524500, 665617375, 312358276, 4167642, 581343980, 985559612, 251936668, 596547703, 391237975, 819270468, 715628313, 20182694, 180497846, 129038628, 364873380, 118786773, 909982801, 45181090, 243557936, 554794750, 101652853, 757743797, 136751408, 38267970, 732787105, 405970048, 889514555, 849105395, 270925089, 317452428, 89450415, 687042506, 233277425, 880223040, 569755351, 749486077, 933694476, 301382664, 454115458, 728346916, 451703011, 556172336, 19877651, 316093171, 587432460, 133324154, 657523655, 42688361, 360546394, 449393501, 613995171, 571196314, 901614861, 639573878, 77349289, 495337193, 969649037, 202513603, 672157887, 830099718, 380877704, 866906967, 331917420, 792346620, 587938437, 971813366, 464190622, 411836621, 661063597, 41664394, 396145135, 623571044, 360190628, 288298808, 788615365, 415987607, 991387253, 764089727, 870838261, 957499768, 458466670, 886243004, 23236655, 235070105, 993474782, 716608890, 332312335, 47651154, 627739550, 196630730, 34357483, 437090054, 920400352, 209916681, 83692890, 915373880, 155293625, 701717274, 791079666, 125958123, 678841659, 129260492, 614710260, 683132155, 272453037, 87009237, 161053234, 673997536, 115263950, 696899241, 229399978, 519110957, 354494851, 928401183, 574646716, 405928257, 197522126, 152280690, 422911488, 722556945, 978071399, 223153711, 734911760, 855317065, 850806494, 653450782, 703387385, 179859401, 218285815, 975935480, 51699246, 972643318, 448171217, 524737602, 187446572, 643095967, 822893444, 3244738, 788736682, 296195666, 433751741, 749621964, 36578255, 102009509, 102346075, 608365056, 462817120, 797361667, 385120949, 866249428, 996470158, 464128233, 488550741, 38139929, 775973454, 951007359, 526667395, 84936915, 228089589, 913522884, 164419458, 89998516, 757331758, 780496655, 726369225, 522542858, 929716216, 145233876, 97580852, 615651945, 759103745, 549058746, 521193922, 80474726, 461761898, 423577581, 924830988, 722505011, 617983077, 352012729, 931925399, 947491719, 810683705, 398087889, 284729079, 596565119, 822816347, 169477434, 261069012, 925081604, 812554257, 4614103, 212781604, 899416497, 692841837, 138502477, 367831317, 466585230, 146488177, 549418549, 414837974, 193506514, 264078270, 497821924, 284952964, 896458706, 240588129, 649012523, 908525619, 235193810, 662645371, 346671281, 386310029, 10333935, 92783829, 603793292, 612187174, 590585231, 691354870, 227682782, 727278232, 96404369, 23108196, 401442155, 924309554, 832107815, 695518370, 530760390, 558513341, 626752508, 497566921, 734338102, 391654633, 82025233, 443282496, 746351896, 927125511, 887621946, 7099976, 317388026, 534047917, 854907790, 242091601, 77518062, 484874570, 96650354, 728051850, 571023907, 137283793, 49894467, 307397289, 284784507, 843563931, 131308276, 480377644, 991765825, 858942207, 414143483, 236283915, 189656577, 469626924, 702210312, 769495460, 365246419, 687314635, 3919326, 184754913, 757548221, 974531310, 645913701, 166576380, 551539449, 280665093, 714501947, 959193732, 827033456, 349423638, 491470314, 695714582, 91682111, 761809699, 893074731, 732336626, 353244705, 447939405, 891427051, 653759919, 926311454, 165398748, 318839593, 295160414, 237473949, 334247876, 3368693, 537592643, 37290747, 178414447, 932380862, 356431196, 995307450, 187116104, 647215667, 896452907, 26634283, 137129499, 117646126, 501886784, 646217101, 336915030, 287664328, 434013680, 652480234, 432514153, 124735038, 411235136, 411602102, 84339813, 344963800, 618361110, 784957910, 456296136, 164846888, 408109854, 610709998, 824138484, 404395936, 505960314, 308662256, 178058161, 530381402, 782256076, 834051825, 70511527, 124993337, 201016071, 261978168, 127505817, 164207813, 930843312, 8864805, 610668302, 650768076, 826655106, 534240522, 413827035, 193505040, 791756432, 683244039, 633489186, 729781021, 73969679, 748475854, 134587847, 373792415, 203902324, 714402797, 162745388, 667972331, 57677526, 527205477, 962720077, 49910284, 547404260, 590063411, 601449358, 348392510, 283993933, 482340092, 644816747, 205307872, 620182667, 82612071, 484982344, 465315110, 698674786, 191001272, 172332872, 946119198, 719883941, 954679383, 914089206, 621924391, 987992178, 952114660, 592922360, 847896893, 485755689, 292189976, 884357307, 449996710, 686277904, 222445846, 544466060, 697154170, 485618885, 506673506, 349005510, 280475048, 907002449, 733685565, 598711818, 689703065, 992194908, 800946863, 478816066, 275228496, 444963614, 387971074, 874601363, 693564572, 643615233, 978734140, 968542187, 800341368, 814136933, 881565014, 478692964, 690699046, 806122553, 143508475, 679207852, 749650333, 304818034, 448882871, 777974081, 19579243, 264876486, 920578942, 950309754, 935341997, 676844542, 461225682, 41039166, 238261992, 597633564, 834674170, 358676548, 959055401, 732568276, 654542242, 20886576, 519496588, 117791267, 519724196, 874417221, 153153161, 393284013, 335225632, 566479586, 898443012, 206119413, 382629689, 62018018, 814637685, 40642256, 838745092, 757079974, 410594683, 127843591, 747528947, 501601498, 323842962, 202118376, 859901510, 995140075, 70878082, 569089244, 647497519, 709827653, 160841915, 380767638, 209585268, 426407437, 996960854, 293342964, 986859880, 388975931, 640288197, 558981273, 785279935, 663065809, 425242604, 795857052, 817885230, 292326438, 439421781, 858767853, 359024043, 563315405, 881886041, 301706441, 665668137, 940406452, 859341175, 610272442, 988650038, 467674564, 595733307, 224670151, 546273675, 26855759, 293117550, 755855066, 659210578, 677409260, 365752139, 809881287, 269353758, 286784911, 94065130, 493661609, 329558920, 349492429, 575328637, 813189738, 446960085, 745811114, 911348686, 304420614, 883891146, 459884635, 717520353, 157581584, 893771752, 251763802, 569248030, 64560590, 841536292, 744184394, 214586398, 546578262, 388198097, 587950015, 533409866, 832476678, 732092697, 345651724, 934405230, 700869871, 227490145, 351601293, 220154561, 355146024, 638611050, 332163544, 598086612, 805555069, 308733286, 151212896, 724226706, 332307750, 632979741, 842031676, 826395351, 503014816, 689491256, 427548429, 517796805, 626740601, 549773314, 657144462, 776728514, 764310372, 86473424, 537220599, 494007367, 952922867, 300207480, 769883832, 594495319, 165371850, 582182364, 50817791, 83306084, 262064341, 657041262, 403164028, 667547153, 296843495, 989872619, 195911261, 822427183, 966387374, 86068283, 685952323, 122923837, 722238175, 207943805, 289831281, 468111011, 934563545, 294361498, 540496994, 300966420, 56863071, 249927961, 942472782, 585938403, 7550201, 998829925, 358705423, 502385911, 106008357, 133251927, 836416589, 760120313, 206600065, 233229888, 671063507, 260482150, 560711250, 552127083, 575309032, 28873685, 993475875, 939597352, 848547442, 668233622, 790236833, 426699271, 214699599, 311868287, 974771997, 610414580, 983426633, 520768249, 295929332, 96489795, 781174831, 834902819, 127769013, 420478876, 515093905, 102108112, 747268945, 471146833, 501871135, 109054646, 229514168, 680680818, 53742012, 330075762, 458391294, 109300480, 136097253, 82363800, 596361267, 716975875, 792709599, 284220338, 876492052, 562320674, 375011490, 975550889, 445421180, 570337013, 447942541, 916875439, 623408060, 967009496, 125973745, 904021417, 101400346, 41086313, 47760826, 384081405, 668409662, 636733251, 824394392, 886393798, 598016813, 634779868, 312226553, 599717101, 701938853, 286039907, 255040303, 897272683, 523021538, 478540489, 143133073, 198588456, 136458618, 565492037, 950177248, 879068675, 846816074, 814365134, 759629505, 489661196, 935337346, 739541683, 217104154, 304422600, 330846519, 404897768, 124788629, 438335780, 372733946, 622362010, 395722696, 277100056, 908389256, 587561364, 9120751, 390929465, 385976108, 354010431, 944067176, 457015217, 855407385, 79851074, 881296732, 32616096, 629278910, 178662048, 576920680, 826079949, 470894116, 307504127, 893470540, 681329870, 907129424, 958307123, 425586214, 90016476, 287448101, 378762820, 103881578, 850744220, 414306572, 844415325, 993662674, 761368124, 426984726, 572143243, 549591193, 318531571, 732320949, 2550383, 604623267, 695921080, 272584175, 796846803, 167103546, 808785349, 272854035, 435066421, 273936919, 841230246, 380707346, 905040170, 68986745, 937094675, 696789447, 61670119, 729952644, 804280480, 151087797, 44834415, 314140645, 83933423, 871617204, 494749763, 484033978, 408035606, 645739075, 200185583, 878339273, 893449765, 943642483, 141808578, 550737281, 536644345, 495556184, 717343906, 626744374, 12873616, 133256100, 905167126, 584401550, 226617881, 403354227, 495162591, 202373221, 765960397, 646064048, 511682168, 813590852, 354720084, 502385164, 975681217, 36809955, 690333094, 775216187, 93976746, 440092607, 659446562, 409522990, 808426515, 711555858, 690028556, 301523309, 606509329, 880370827, 264064729, 638588496, 561106769, 539539705, 68273130, 561642729, 204204146, 342532754, 881873860, 45494865, 803713598, 824282473, 109062202, 48901013, 350413683, 519689542, 27230520, 885157499, 740267704, 440003074, 178568044, 649203155, 568132633, 776749234, 311489380, 988771246, 295944279, 881001290, 243548761, 961360298, 513082165, 463834896, 47343951, 947723658, 732081244, 410180203, 453750081, 207668803, 396718734, 186576408, 793940987, 545761893, 701746466, 422081927, 696284557, 919060774, 769676310, 203780016, 964554065, 303003429, 907651319, 386023160, 328757097, 258018694, 590624301, 986883448, 357939197, 108094554, 870218120, 950293969, 641049262, 319228397, 556217524, 452151101, 179377562, 624214720, 810736880, 557190247, 961863974, 291938490, 551923228, 959582628, 953015935, 881058724, 168471452, 34308296, 951451402, 240488108, 780874430, 672763304, 423475882, 815369973, 608616037, 434612635, 470469841, 559528420, 719190777, 569827245, 3093322, 138693159, 568075277, 333456204, 536005810, 666811610, 524145355, 723600196, 863088555, 809297265, 406650672, 533372275, 565168285, 143005290, 269012459, 326934265, 650641532, 948825463, 556401059, 792020380, 933092247, 117536478, 317599907, 741081791, 727165800, 839107842, 364438638, 829863287, 178330998, 675672730, 572780192, 232485594, 929274198, 456335362, 726893119, 648087573, 320322869, 681637551, 214349514, 472740291, 368217359, 845009454, 81824153, 44802543, 565280555, 895820097, 99224231, 444333746, 17019458, 268946923, 306356391, 36885376, 164839576, 422870420, 970738560, 289910913, 583938862, 31105828, 314499091, 448169787, 639773253, 655091467, 363430765, 508577760, 840370578, 200837514, 757601657, 905220815, 411142994, 817760242, 653318826, 589525873, 608418728, 351278933, 660987020, 201948623, 663565659, 636424702, 925676477, 107852100, 428590574, 103432586, 142886970, 975697402, 721371312, 306056268, 956463846, 973137093, 429260356, 400504401, 466788511, 449935707, 736416123, 937302262, 740939118, 351101897, 442814562, 871336807, 223454476, 522289154, 288575316, 491856821, 116716045, 690450781, 710265214, 805555057, 30695099, 327118577, 946790109, 23801545, 516939602, 289053761, 315952644, 579924388, 507451226, 485271375, 381160949, 125085623, 366845689, 367961032, 314286400, 710639442, 772332801, 156424426, 196563861, 217078283, 835411446, 305768609, 479720936, 910052636, 386955650, 578881846, 579975167, 447364654, 779181628, 564858733, 309766278, 485744376, 421078332, 521987945, 615156887, 781026289, 92429730, 138574141, 449658112, 447782815, 410325473, 449454747, 410542993, 721606781, 386286463, 138891979, 963589377, 67798348, 200785858, 450096149, 481571739, 997440884, 616763473, 605170678, 536271435, 364434420, 730277887, 423681603, 575760961, 316533524, 471777021, 819379953, 230399789, 602243365, 35168062, 857552405, 498741578, 849831630, 285094141, 453611263, 517662171, 104553693, 112848628, 763510840, 69700215, 796583614, 496401580, 738570522, 111281736, 666663244, 966107780, 529799487, 836614864, 991460244, 448160557, 673186247, 188117604, 579200066, 898988180, 182799197, 705021899, 374829172, 862397411, 508941550, 33057913, 379365272, 629300732, 214852830, 861531346, 234320376, 495332656, 908699004, 865425404, 487576686, 351557153, 975078062, 296833432, 317315575, 911334946, 381866544, 189994260, 225730768, 819815457, 538192089, 120165512, 906265237, 321498216, 543420486, 265800709, 425558313, 136248317, 510914129, 655789575, 960311333, 115842068, 146826991, 639007988, 682959798, 456704563, 534923945, 164467396, 888478019, 560263635, 185088361, 332296898, 907662766, 886416673, 369288158, 929574506, 813777697, 143197094, 952097362, 948794342, 901334215, 769180508, 185221305, 190282909, 315911023, 264706841, 399405196, 820887064, 463835797, 97957513, 994508459, 899349581, 164236578, 487480966, 368224623, 28195118, 710330739, 782320160, 950825070, 581524481, 373604699, 873274205, 933246634, 675540482, 260334961, 147118615, 654212760, 767466312, 809154662, 641838354, 595367271, 95043372, 49415084, 434090342, 326791678, 68888478, 802943805, 651114374, 971653756, 567166855, 287884429, 974974010, 251224807, 67113001, 396407606, 571146518, 361484193, 328539510, 839027653, 845177145, 8332719, 838894910, 932115662, 690130443, 434934833, 319468133, 14579893, 925892121, 387319695, 607300412, 433967443, 813974270, 434708273, 923666831, 582254836, 926459825, 109220202, 77279955, 59015171, 522417252, 600919074, 435881944, 808178255, 200613516, 871192494, 643897012, 740673518, 96925861, 703474867, 659939285, 471741859, 970469309, 838907402, 578462505, 148046674, 365406397, 186942896, 316067127, 995138640, 583710600, 91331578, 682346031, 764937409, 921964627, 999803777, 549901181, 598970434, 952477033, 846752769, 342865707, 227543503, 75104690, 516266858, 330043862, 200661826, 950026861, 254515287, 889662386, 131919565, 140252660, 793616894, 673318794, 830575032, 802585082, 89263333, 931150230, 716298391, 913299131, 672998708, 252121437, 720163236, 715365533, 134552863, 566747588, 465280837, 97160520, 286664879, 50885957, 93255921, 829652026, 922808483, 71762040, 771192630, 950485243, 620473233, 820488000, 410318915, 726910497, 171236219, 335735227, 369329752, 795083476, 233879096, 783926937, 787809538, 570394899, 35803497, 281661937, 393644357, 704641735, 899552446, 641603036, 329993282, 34395715, 302436143, 313785598, 900708697, 238214231, 341015835, 656634284, 272841938, 986527187, 679651864, 743802200, 522399802, 649526359, 778746782, 711901280, 358135339, 835216708, 595644307, 643972110, 256724220, 629755932, 439403386, 849244372, 935014405, 595362979, 681101458, 348032087, 412151156, 476197860, 941418198, 480527561, 732798488, 411596139, 569377035, 316526543, 430484122, 31458121, 982521790, 257979111, 650626085, 125631046, 45259174, 791819035, 688105733, 43186172, 879520579, 745437709, 49344707, 535310755, 128374497, 750165313, 989471934, 763655658, 963502965, 365239995, 659668974, 432744401, 219004256, 43236286, 256031574, 81825185, 965878819, 953914867, 919192735, 307812706, 270374152, 836693242, 273132579, 476428619, 161527230, 884745904, 216548943, 301671825, 313454843, 865239510, 529421372, 585951615, 293698417, 930256360, 851314588, 863413307, 286404893, 2195353, 406707616, 438492860, 241408057, 673194214, 477470020, 97492770, 53160464, 105741053, 286728737, 209400637, 650587391, 493200524, 310904043, 738031373, 648494613, 292539673, 879949298, 803609009, 647990295, 874918943, 425921595, 828327756, 905057456, 888898003, 118638112, 386843617, 13560673, 369022955, 194597462, 413863356, 339987505, 506063175, 869674636, 563703689, 467989264, 648664898, 389494728, 184216693, 74673977, 247886161, 391154808, 800354188, 516700975, 538857298, 97633066, 248701197, 289601955, 35251393, 974685921, 207159971, 501582870, 61807787, 566157909, 432800064, 448307408, 139361647, 752172671, 260454641, 702127328, 181766908, 344793957, 406440404, 524778184, 807160011, 487815169, 360173465, 316750904, 246989913, 543431742, 437548979, 152239743, 142456595, 200081211, 147156887, 716577358, 543820724, 543995554, 628148362, 446477120, 893161310, 908942070, 411620182, 43379379, 588034715, 477681310, 579464194, 854716748, 385113602, 409362063, 923031946, 218933921, 469735073, 670024505, 816737592, 326193181, 190524165, 863149, 117144540, 111901126, 557720020, 617224125, 271355123, 984505640, 801074305, 428333343, 996365498, 163736019, 895202464, 606872499, 937100559, 817006480, 168105221, 137539855, 249072398, 876760488, 868254596, 220377526, 301538193, 696807489, 466351245, 88966740, 789894853, 113510571, 304534003, 659538364, 189074911, 828161504, 275137812, 158894257, 14870659, 516670153, 494237227, 548735363, 804981085, 751808980, 700022914, 194823141, 481679169, 580229680, 609577186, 93390946, 753139005, 483368685, 456310706, 967857121, 990786111, 947189681, 173608133, 920043537, 596128894, 339457160, 385426189, 812705344, 56821674, 584027226, 48672937, 751117248, 378031097, 275978775, 548607537, 710101458, 807517477, 433576063, 515380877, 401507827, 460679472, 516482149, 481994007, 676503591, 573678202, 12833184, 515325902, 243665496, 770918772, 273502283, 907047066, 872170911, 997988283, 218847474, 549585759, 241992357, 394586036, 437115919, 298060111, 952332026, 772648171, 755049140, 470031581, 400064459, 485462874, 820936561, 441247717, 331877710, 8600657, 429446960, 921527735, 953879151, 598622070, 436810402, 497814807, 193307898, 6960779, 398875528, 194976754, 375487213, 851622051, 527781725, 925175918, 73188435, 264346529, 905885440, 514638895, 655842709, 385602498, 713956651, 687527141, 766167365, 100342716, 817571941, 284508702, 452855414, 267739299, 562938360, 370791624, 982965789, 517477936, 455461382, 668890931, 731815597, 653744437, 103174471, 207483581, 223785494, 620512886, 883714826, 607533706, 458598890, 447153731, 578770851, 991082816, 409825844, 947313072, 611863680, 641619051, 915527944, 219868687, 884844371, 320282756, 935910090, 723334054, 866420765, 432661210, 858640720, 399012870, 274594490, 619427457, 287114183, 526113103, 117079936, 953176940, 348204958, 330039038, 96649300, 964255651, 76396483, 560049300, 171742833, 753359230, 955409568, 701138205, 106394086, 283109605, 659966034, 203469473, 322067923, 705270679, 527955533, 644508649, 453243061, 334781304, 67161693, 740239736, 845276576, 606254028, 968633413, 270153230, 15609874, 556896113, 473048001, 952026023, 155024247, 8998372, 808878561, 90299280, 256184723, 528969810, 135127449, 294752131, 519091287, 597347636, 484178318, 983115861, 986523245, 982391115, 211087471, 718673428, 280193826, 961685921, 478746454, 622959905, 488452369, 215431500, 475298644, 672808055, 812220649, 129881590, 938263230, 225324862, 551452162, 642621178, 252563814, 343155482, 718791305, 150998375, 522990841, 987476746, 973450520, 13780350, 536636163, 566202945, 469358025, 269010485, 590742601, 490368447, 398268500, 754484287, 680270667, 738144905, 546979769, 891441127, 839618226, 676486701, 534327077, 18410771, 712745100, 439665032, 973998715, 251758473, 107240016, 369514425, 898227701, 913356569, 49993499, 863673055, 102964880, 500497333, 932180724, 739260615, 851220709, 516718684, 884688895, 881837804, 864898721, 898198439, 157092668, 149569962, 84749678, 299212506, 628166833, 347804602, 77971286, 947183907, 954511938, 705491353, 702275009, 245800435, 131769945, 843468954, 286112306, 474536317, 759420360, 506838542, 904281379, 36147631, 48374304, 590613169, 4567540, 846581514, 4218417, 866975656, 227946538, 285289124, 802272596, 569796677, 599551926, 551648808, 401867835, 123877689, 437131181, 756819363, 978030744, 680406928, 439707356, 256161616, 933029007, 460897678, 302662979, 993174909, 752302344, 892740959, 140295730, 259872679, 372022669, 294737191, 379296980, 914479296, 699616799, 678879908, 735798660, 282637198, 892675904, 586857450, 159511658, 259683720, 828864364, 836588071, 915672883, 916968245, 989264680, 383917973, 97063267, 284314145, 777674784, 158017025, 835459049, 377613286, 639961404, 455844893, 367144039, 196173019, 237302493, 797545388, 250759510, 743579771, 686599720, 667024929, 981399332, 60613076, 508281481, 87331087, 322048384, 388881812, 150142705, 903371857, 483270733, 350856070, 276655865, 884448113, 118717917, 556313968, 31167998, 537573530, 181298663, 632802073, 864915106, 67724929, 596666269, 475598371, 623835548, 44787751, 157746260, 223777373, 164632886, 609599525, 341031194, 85033113, 580474066, 13208933, 965498017, 130163801, 647994691, 292203283, 925434943, 102702379, 946728937, 39826707, 574698030, 658433269, 397800637, 704419188, 931450316, 411767838, 366351065, 646336687, 176344362, 191679281, 75556938, 58973368, 3218152, 618316253, 250821515, 313406860, 532623839, 841011772, 223309583, 556155174, 870059877, 243933433, 175211890, 934707688, 780761246, 11359400, 371564365, 673150414, 351175999, 291115749, 38891848, 301962843, 411486232, 516877756, 723851104, 73965722, 974497020, 492180986, 342706112, 753093367, 158220204, 979586405, 577233074, 194508705, 806173734, 748368, 520958330, 244197405, 330882986, 298730479, 661182063, 888944717, 143437490, 967367041, 364803711, 455190360, 690696999, 737051690, 573843117, 358260951, 142176931, 559743527, 318271254, 237800975, 215724646, 857838583, 746012189, 137791770, 458472384, 649699269, 622531836, 406789211, 201621307, 253319713, 275520458, 279276021, 271704284, 125048181, 609944319, 953334436, 195441216, 793939906, 772366633, 28840526, 829116352, 510321088, 64670846, 879689322, 987774, 433238720, 774260444, 425137601, 339840412, 189797030, 729406428, 270570642, 592171879, 804379631, 52413932, 165881688, 617957463, 646944415, 568341675, 108071671, 611919703, 93147523, 451987707, 1607942, 992413706, 655301052, 453804636, 213026408, 118394261, 567118201, 457240833, 222928598, 238578817, 93228069, 421164362, 237482704, 878961040, 41261614, 600236901, 992672382, 611345648, 242618495, 307349352, 597451722, 91873110, 878404944, 615331857, 252748995, 658530937, 412382651, 335465809, 158197678, 877133891, 419957196, 264480433, 529121317, 532657139, 757662623, 658296384, 130633535, 620318965, 758820720, 543594273, 910068187, 133603693, 689223716, 47935942, 103805811, 364895168, 7562600, 326456562, 307799389, 762806623, 101400368, 401428519, 33138792, 295226394, 905759641, 718353656, 976602785, 442118145, 196667033, 873226571, 317904901, 375909392, 893472771, 480996636, 321989373, 531861785, 875300465, 426070983, 547884832, 877846695, 176508789, 865774296, 865649775, 322445565, 648870647, 367921534, 612629197, 589614120, 345054597, 422925088, 651649273, 330361455, 64133505, 174957910, 685448984, 693065435, 80483864, 976471519, 887069055, 994721324, 863001281, 447365519, 771713149, 711921631, 877279512, 22100553, 314695277, 251097133, 169331996, 364409454, 764751124, 250763534, 516226905, 143962397, 624828994, 822801528, 693915417, 478568026, 928241645, 610057491, 141124962, 264059137, 256758089, 101794811, 579419161, 539358054, 345440035, 477733296, 821100707, 638936437, 253148016, 601578049, 394307354, 151651720, 582916995, 393777146, 13646419, 432700597, 993428107, 875316212, 806514254, 936213550, 905679371, 940320401, 829245842, 932730924, 362980932, 618279821, 82340475, 561171162, 22141237, 830173107, 392075026, 941214025, 440381232, 52377502, 119904829, 157354681, 689822577, 849699016, 661567741, 257137000, 923981802, 454285513, 38927215, 181680345, 454437758, 87713768, 280150329, 970107625, 831695693, 484159362, 463304544, 496944089, 123472960, 831604000, 71739042, 153229273, 106297005, 37142690, 963662759, 247071638, 632700227, 966905844, 457127990, 485852764, 113476979, 318276105, 355236508, 76451547, 704898948, 575087092, 163128955, 107548452, 234744201, 243555040, 903182697, 846150516, 483788672, 662660595, 397736851, 49347019, 470250498, 75727487, 182554961, 806928334, 943238213, 285518270, 481445966, 318078051, 950980460, 718422139, 140108202, 794006176, 245252443, 465136378, 680181836, 477929664, 316579067, 854371076, 321414839, 17700762, 16408800, 691948880, 412827872, 224778154, 474907217, 271227144, 839429554, 166326684, 318904342, 607894826, 128918784, 504844822, 263628223, 798306374, 982777833, 544934058, 109100343, 308419483, 65305083, 747110157, 241876360, 138328203, 64527473, 996606751, 466036867, 105341835, 607336865, 610397061, 536506380, 916148715, 712623038, 317971675, 66178585, 975227262, 971884423, 260482022, 929041781, 172666494, 128979462, 952743659, 546369495, 968666262, 190772628, 592305700, 36608007, 252862205, 403710188, 830991188, 247670400, 540238133, 478799614, 121339973, 487504370, 853917198, 33756563, 361211150, 955317848, 982057642, 929985389, 719821202, 966852668, 854518984, 44072911, 113099323, 489122972, 564888685, 782228354, 316941843, 967587793, 176094958, 972061015, 286448925, 878827714, 601165015, 79012603, 608884782, 568444368, 370316526, 403886558, 47473938, 233041528, 290603434, 884774420, 190565495, 891557315, 18294026, 324295655, 717088952, 145845242, 184190531, 258272085, 518258612, 665321656, 505198860, 789908896, 725918546, 831706171, 49662920, 332359094, 399589219, 995901752, 400797353, 279087721, 736899154, 242414293, 188850743, 967181857, 3566564, 869418591, 385828372, 559465968, 384074028, 217187641, 754213738, 301996045, 901926994, 368159305, 86644611, 481383651, 545833600, 634039019, 165021260, 680472418, 823426663, 804756391, 483951822, 883605273, 671903498, 406103228, 340279543, 291165199, 328358375, 730959671, 981669752, 783065460, 835459869, 625918879, 451260650, 560399166, 978114792, 96547748, 397797194, 336190163, 692959665, 432027731, 135333392, 369624994, 219280228, 781754273, 300980847, 327819310, 386250264, 349925829, 397786077, 23595725, 214821763, 930579782, 961827542, 417158549, 757115662, 475619185, 66143066, 223493609, 820039299, 229484430, 863784690, 280923827, 162130527, 905033864, 422369748, 644068477, 785057358, 885379637, 646477182, 418656779, 505056782, 727053873, 259226312, 972453671, 117645710, 382508016, 771973663, 968666011, 847467700, 913904976, 183329339, 450162823, 46566130, 699623814, 332717611, 429775125, 534492651, 962391879, 443231580, 258986803, 381592242, 425043963, 380220176, 767203673, 538467676, 586131243, 697520864, 7568165, 229823841, 902381948, 101302039, 685515168, 473475665, 201713009, 254193721, 123586217, 41439893, 965066407, 899403604, 996800382, 109383056, 158585220, 813868937, 65000896, 764458233, 197973089, 893565574, 370933566, 644033819, 853856107, 204819348, 676506848, 811855744, 194554913, 446421233, 842016569, 568974301, 72574602, 853763096, 785951003, 145650361, 128736890, 929902038, 957090421, 558068622, 606498352, 56944947, 16347504, 641463994, 623693696, 764936442, 206148511, 712168923, 57965818, 51072578, 30702425, 576003802, 889902327, 604780073, 662487020, 983447369, 743171873, 759313901, 50280522, 801558525, 947491471, 981984837, 241357782, 963287805, 435647602, 458131266, 373349702, 610583246, 699352491, 491475352, 417383272, 804799465, 236137423, 452141692, 969126621, 502606981, 584458011, 694353581, 329123065, 413968878, 370580720, 266740800, 688378977, 290283256, 901799705, 861701845, 609179885, 312462770, 150499657, 41495472, 681706504, 998810702, 960418947, 630022640, 204907115, 262648082, 959257353, 613662887, 272117135, 415292654, 41904193, 822169368, 273788879, 723468938, 756079640, 681147777, 909467445, 55303267, 566432645, 301657081, 890620444, 852725669, 272074481, 898442665, 358730533, 632984774, 669655580, 437799276, 442864874, 724657594, 81642203, 295212280, 704714265, 528250379, 468658748, 319485637, 289109633, 420826795, 802571131, 333089160, 9105168, 121804180, 277349377, 809611190, 637825551, 810155749, 781244279, 708121069, 74844781, 85845403, 174947523, 813995491, 554729, 487724406, 969261886, 910070813, 315810447, 575859816, 259540544, 339189421, 794153639, 725332850, 741959802, 874531680, 625018533, 807923706, 1016939, 814599856, 662249010, 422331290, 388845287, 45597134, 318055390, 520227459, 375860611, 279796235, 148019281, 954531613, 186203250, 154620612, 731086901, 331526642, 40212927, 517139381, 313868984, 622852872, 301699838, 959898776, 81775147, 716305797, 91445233, 231891111, 437569795, 650094342, 25865053, 252697830, 279844433, 865882161, 305677417, 972107840, 839714624, 756774902, 663867140, 236186007, 513125379, 813287956, 909221992, 996396975, 458162908, 478669916, 944980147, 229426540, 338406906, 116339799, 932287331, 598131187, 739367745, 998051224, 159257502, 197887194, 930433391, 250109854, 300534137, 387781246, 172780670, 995506495, 194850789, 13966488, 653151101, 529299935, 785822554, 376967092, 983891666, 910987948, 37473641, 750585466, 719968498, 952315449, 30248919, 915945047, 79331976, 6918658, 524430326, 307608427, 40322164, 828284607, 410477063, 491469487, 575433063, 901918558, 866377867, 694128078, 398492071, 662052770, 61475445, 13518324, 234815923, 936267218, 383138505, 472898789, 345311002, 474441895, 299912571, 298349142, 459152484, 798739868, 74894701, 601682776, 48847280, 262229010, 626968119, 280091036, 888899825, 848751558, 947289800, 493773485, 103011530, 193019276, 273733572, 211990864, 152009458, 895425003, 629915013, 848564795, 41479083, 595616871, 75526163, 127211841, 991549626, 136486090, 783914822, 19212538, 334961074, 389126353, 739634777, 286679433, 221771713, 353811064, 538694278, 349012859, 601934822, 319401303, 872350995, 948077345, 780690008, 63767061, 687514777, 262571454, 540191404, 427269317, 407805, 521770570, 238985751, 632981337, 191894833, 954183090, 626556382, 612561129, 486447371, 325705168, 211887440, 161272634, 863360122, 925808813, 907724102, 664364632, 621258355, 689738325, 970390749, 289107741, 968907607, 386664108, 324407786, 189214202, 94612769, 593540865, 818396722, 254777408, 66691030, 834792830, 966296331, 173098037, 303149574, 561165641, 661186855, 841073977, 667171481, 781289985, 299363357, 51022632, 202052501, 26016979, 578175746, 145430618, 652713007, 471261297, 772450324, 784999729, 577988244, 67890273, 741389201, 118465541, 6050095, 342625702, 919884813, 253709131, 406017492, 845663064, 642741056, 657956728, 163205371, 959937828, 700319548, 851518414, 600022558, 59707662, 900916714, 304155974, 186408548, 447687211, 38917455, 667434628, 827202270, 394995313, 887970090, 496729829, 913606802, 774537916, 243516441, 288139983, 648316709, 874569150, 12359921, 258576758, 10470075, 142644236, 751349131, 789374808, 583619371, 28855486, 755680848, 482495919, 858044358, 965621204, 463665465, 160139927, 254576513, 3137613, 682370755, 863651484, 254083707, 606659902, 124617064, 526697937, 415206917, 927615905, 345783120, 406155363, 88667915, 564652937, 452668074, 178281423, 648198353, 43755348, 619453515, 52059752, 597836585, 769189848, 612453815, 598885316, 225595299, 432050619, 86706456, 156089499, 780935774, 735331951, 464717825, 235545049, 904783686, 712028198, 260692842, 98425338, 708548297, 539306974, 183093098, 876238134, 273623239, 268052704, 402230585, 295585367, 136393737, 159430223, 838742875, 66136179, 865967320, 128902827, 393184743, 271261920, 847771598, 422915902, 309622271, 823500218, 750431417, 555225771, 535173550, 187718294, 540873787, 36188775, 627630638, 698226492, 771685991, 180591225, 253185367, 663333008, 934005090, 989720905, 397568532, 332281166, 323438160, 590369488, 701385518, 125043879, 100763482, 740685005, 174968061, 193406147, 782576920, 425146376, 57774011, 801434431, 259065302, 998444973, 531249774, 79513070, 460945026, 386023741, 308675594, 624033198, 288844530, 223862878, 767285952, 775848095, 760544423, 149206424, 653926693, 806088, 973654478, 356310954, 310683711, 552031652, 657320302, 502172167, 317078379, 912043267, 426454236, 1525211, 972505356, 123243739, 305733203, 302837337, 112216714, 478046820, 811350688, 346440555, 880333732, 88600295, 214354380, 752630263, 476239915, 369268847, 109018340, 937609199, 216510085, 70779970, 912585285, 555923233, 244378232, 580137846, 428237395, 131250989, 542770151, 528765499, 257549549, 279480697, 361350456, 569874965, 778742353, 131198130, 220391377, 890988791, 266179110, 757366602, 894525444, 632264883, 976996481, 34168160, 770666346, 14913825, 699198648, 145539675, 347831319, 387549936, 360171497, 704466824, 369032493, 525472286, 655311528, 13831945, 477525173, 72688342, 430823182, 399852477, 151427728, 90651225, 237114877, 738051275, 339214329, 882866547, 260578702, 52265072, 438937738, 465177540, 476887776, 685094257, 209749737, 597179396, 588413973, 151115073, 571344897, 193458025, 740492759, 982231666, 598757068, 335058294, 875262949, 972568489, 357178756, 909058372, 998165642, 95450196, 954093196, 507210548, 826485751, 507555160, 882023761, 946059965, 335671275, 57747441, 679491626, 260964931, 619028054, 765488126, 793672520, 265282067, 211080148, 228306876, 855969708, 97210537, 628871705, 458519333, 446815272, 940666410, 530840423, 275928775, 861687702, 516814285, 532619015, 176372071, 31622202, 69014999, 494778071, 518374110, 818922717, 335125010, 324754357, 249928610, 397269981, 957760055, 59590883, 980538640, 169766809, 478549851, 742793553, 272172360, 817652701, 378450331, 314452383, 212632586, 370032194, 862925085, 839775596, 401038312, 765882590, 25165547, 409081185, 758717854, 29323144, 802113406, 619335348, 670187597, 432992764, 842300893, 451190819, 543777190, 955899663, 167468838, 911305454, 943898810, 429047069, 870305674, 108945073, 375917020, 157236084, 269449257, 509246236, 623982958, 152174729, 214323077, 326196592, 160257757, 347196106, 427685579, 101980047, 148361038, 162482083, 397455571, 656528552, 337869993, 332644833, 951987822, 159756238, 911309883, 445389380, 53561727, 389885080, 892891025, 615089903, 397677586, 826739378, 597832725, 820872628, 92304719, 974260177, 188145987, 496908853, 652170816, 442522275, 135927893, 78123716, 184120078, 184137826, 933891864, 154815712, 976529142, 996029324, 364254469, 439608844, 813275602, 402508956, 93046189, 398679305, 185801436, 212295926, 439035545, 347505648, 983238079, 531951038, 891923807, 374326942, 15383427, 269669111, 253280873, 743917086, 24854336, 937583156, 413136149, 605154802, 676774715, 234441052, 377327301, 116490810, 324311745, 274836385, 459002617, 642516882, 551396111, 999882622, 68450921, 1175391, 993786840, 466454106, 632627337, 677853710, 46385419, 766606653, 554175716, 195409438, 800676227, 998397981, 603943619, 455388781, 796053487, 74531244, 750692148, 527969567, 15571312, 675420846, 547105516, 614303552, 867181126, 118961158, 254387999, 997958504, 141355567, 792788923, 195849658, 139015753, 186702814, 917327862, 657267424, 957504120, 791970733, 391916529, 104634974, 21408071, 882177415, 639306152, 85771927, 145946594, 502658797, 84541966, 6037049, 607214057, 892819474, 381942649, 567045503, 982239196, 536589177, 413343240, 646834247, 952516105, 815609737, 73110969, 32844520, 690559674, 485839152, 270935012, 837605968, 930228322, 648048461, 262494, 59563011, 155651427, 602871424, 271981151, 341302491, 393093646, 347279617, 780965491, 407384524, 371554884, 98929662, 461255312, 978259876, 480744698, 224461704, 435067194, 887615803, 567271624, 803306762, 665097394, 673323885, 836951559, 680647204, 682723396, 558406523, 947807862, 950256734, 674056879, 279729097, 839146595, 98739001, 556215231, 481665717, 693320682, 756390517, 243299690, 657060868, 884378811, 524717438, 452407484, 58830953, 300892817, 237906350, 195229497, 803119766, 655150059, 941488260, 358730238, 371764031, 832355827, 23839303, 207738227, 16373697, 182385232, 380362034, 512306434, 894095701, 567218130, 192638973, 197385856, 242273426, 422060930, 927336265, 882999313, 85163850, 90610765, 33516238, 776923674, 671945613, 767518373, 860734720, 513009892, 472622396, 819011033, 211774526, 855935661, 421296735, 54833051, 1416094, 509163150, 50750086, 339376333, 365461760, 591744996, 442439639, 587598543, 160213172, 34913210, 249568549, 914294680, 894468449, 837470852, 494512780, 560807828, 276349974, 260858355, 544586482, 624530253, 849676050, 35894795, 427983737, 634172670, 273198955, 461621948, 113624766, 205576139, 782246301, 757272230, 842899237, 905693435, 700009439, 591057257, 189436606, 641184817, 587002957, 463527400, 403404023, 402230310, 38604363, 262577276, 405489435, 357904488, 993262554, 865360593, 491408058, 876957195, 311669384, 136847160, 574403364, 180979520, 987273841, 222568585, 699944150, 21794238, 895981287, 680683489, 488202442, 136390356, 536222139, 65700491, 78705970, 554264708, 800700778, 877949733, 936619470, 591954633, 79930816, 232205499, 37931336, 179217025, 305784357, 196364163, 935032428, 552372894, 509841874, 711591431, 996630040, 642916, 198447071, 915387142, 385230643, 426677354, 179661606, 666228106, 281381972, 21429528, 2191402, 295070217, 607871566, 521848641, 275787847, 653311201, 648284498, 967871972, 903775523, 105354847, 569100761, 822251904, 275538852, 817375763, 572291096, 118333166, 608263793, 498534249, 919601492, 471522834, 259782980, 334129544, 456851834, 516704059, 471048481, 126884638, 30081818, 558935040, 583999555, 61163733, 951959983, 878291251, 499057382, 343314917, 994473755, 764749508, 83074152, 255800380, 838086053, 778110962, 998662202, 417771902, 827436248, 445301100, 271108584, 958805228, 913987415, 249598684, 555368814, 126805845, 311277480, 73260345, 925419810, 165617237, 667438706, 773770039, 337277232, 831108292, 454416114, 874855177, 441074449, 906486196, 782284609, 295082215, 190072540, 121569484, 496608056, 642677391, 512247467, 873809389, 786633911, 102873144, 741263564, 769060751, 627628656, 139637891, 741475920, 426381493, 762813552, 394760846, 593805238, 691291458, 513182619, 327390967, 816275818, 462583724, 421047168, 4215878, 21775094, 532928014, 349426192, 970410167, 188617352, 817169677, 688570103, 718024792, 282214936, 317892068, 114773345, 583410508, 739470781, 94259673, 222912358, 738351720, 539132037, 39110660, 313825975, 111631432, 930240694, 799716896, 37829409, 90700055, 765040251, 202940178, 31774394, 843145447, 53574577, 613865045, 170916701, 740673169, 66242574, 447994721, 154332620, 241825115, 221628267, 42426927, 295021729, 187970787, 199337830, 511017251, 609990874, 187911787, 584799814, 306857594, 18098904, 642531198, 779530001, 122663809, 945498313, 358155409, 388933963, 280750065, 453524674, 361745865, 311474775, 21450966, 400540171, 945495115, 466756739, 334373940, 12551322, 831392833, 766253952, 69538398, 858018825, 449528783, 947166417, 49062715, 957112193, 428920544, 723426839, 505318870, 836263110, 861684657, 34751022, 548529387, 108983646, 251654221, 497438877, 378555567, 599603889, 686154590, 201411534, 273011910, 38224192, 778627463, 782893383, 661223512, 246845715, 621158987, 120250031, 38693343, 418418530, 265971666, 734449581, 465850256, 429076292, 552575684, 747114073, 655379359, 978748955, 344425978, 641850087, 878812392, 460399252, 504818791, 939041896, 530873458, 571966528, 947544044, 397643361, 889040140, 827855632, 107802721, 137555469, 375116253, 226267054, 361691180, 630946265, 295389486, 875708036, 321513361, 616054935, 161133240, 61648419, 725988549, 813232915, 652535669, 365046239, 897259434, 959336119, 328361321, 396973885, 71397766, 581117480, 489869662, 460992716, 917971209, 51184201, 690159198, 940767627, 973124740, 265477103, 56609201, 469731120, 967549345, 977409499, 30294318, 796423675, 70708268, 104452036, 121343816, 940465673, 625350932, 797652177, 109187462, 746373726, 705459831, 80487522, 855767497, 942139863, 568910441, 895048574, 700590502, 415404273, 252217289, 94055450, 874235040, 122183486, 968016460, 968614878, 828691592, 254812248, 523490646, 130727131, 459286199, 309967067, 833390190, 220402695, 511094645, 220300093, 268174725, 215845968, 488623676, 389256368, 138136913, 836426446, 275077522, 264633042, 858862295, 915566835, 214320683, 349513725, 86088675, 526247205, 1700558, 893993001, 841981939, 715256704, 140563385, 631019443, 698068815, 231899014, 111686518, 199655514, 540424465, 531214798, 267882778, 784866455, 799347117, 353588410, 971786551, 156430187, 565553809, 881876002, 331880225, 874832854, 511205301, 562763196, 923845265, 330271805, 60322815, 62502709, 122414205, 632820266, 405262634, 425725055, 896024188, 348400951, 470749323, 976671021, 824936190, 939001425, 701367300, 112163366, 933483820, 971535286, 283400354, 233196847, 403610942, 219204911, 71500414, 848345305, 352782827, 898523232, 91443117, 889609617, 565883503, 448977602, 118249615, 808569208, 625833554, 127672920, 784729794, 644993716, 810757642, 512950813, 519619492, 8568259, 887384931, 231353434, 922985111, 747386311, 809094756, 911512113, 759298643, 46077263, 929973819, 499857545, 691351502, 678348757, 536348909, 491359820, 351274326, 789957387, 409753268, 844615730, 91931982, 838875162, 257831421, 386366850, 494492965, 883904471, 388612395, 828568935, 521117244, 434355759, 78218608, 98904475, 91001285, 163101649, 774830410, 825536780, 473268970, 886616187, 44585408, 672761234, 531154845, 971312894, 42201937, 374104877, 217729653, 130610711, 781051513, 637073473, 164601516, 976702498, 79686152, 296832558, 510366757, 927991689, 385958478, 371563135, 786213492, 711428392, 210238491, 13745017, 217103950, 820921427, 217787485, 380017179, 347828973, 439541232, 503462259, 456307830, 416940005, 426211136, 326200475, 177568034, 967198783, 114296696, 957169224, 293349105, 747394558, 154211810, 62410548, 806143565, 52332520, 377130911, 977261652, 435871599, 407508034, 73674120, 139382365, 148706460, 879606220, 797879289, 156369444, 339462214, 523028992, 324632342, 464689503, 197567132, 58905185, 421193436, 796330951, 982358570, 310473646, 265066471, 287988234, 291864971, 315960951, 366067801, 506497255, 547385666, 971493023, 338560962, 122370536, 959160777, 357941253, 9434272, 830153306, 859341283, 937973251, 49370531, 521893201, 903786626, 790399646, 894276400, 903222513, 685799357, 358065184, 181291136, 774917506, 885888507, 224879640, 627205562, 825355570, 293006912, 360617824, 423386310, 722949994, 474239002, 587027227, 73018378, 527152439, 2364845, 300887166, 763586731, 539088422, 915295637, 778943620, 211892412, 261581172, 780254877, 73258932, 833103048, 807528799, 788659340, 745015038, 175249943, 567118538, 848857792, 15861337, 872461336, 554173529, 60780917, 903022017, 730173290, 911355463, 369478815, 135315569, 913642887, 561167237, 414861934, 838117083, 558130852, 888336283, 964857226, 670688658, 603097383, 822444638, 730055488, 890136457, 321344697, 594520233, 614676708, 684584794, 450172507, 759647440, 795300852, 496345923, 23434402, 171265437, 696471192, 484926459, 130474058, 886921116, 978962903, 75304233, 83144210, 632235419, 91052314, 750626304, 305613920, 552055828, 844058303, 638360532, 844024437, 725493496, 152620754, 388529120, 379227534, 537023216, 881387373, 51382411, 179635836, 213610630, 544049700, 986548874, 373327268, 740298135, 487360185, 356946053, 973810594, 575704981, 372815408, 837954179, 888163710, 859437700, 439957356, 379186882, 425572734, 17151186, 471190295, 807741660, 878693668, 530412915, 321590759, 568236824, 250190458, 955609897, 611008215, 92361195, 164029717, 73685446, 66523665, 506137498, 402586347, 818453749, 513730788, 425844930, 581093945, 186626107, 881906527, 572206979, 953820917, 218623244, 667593159, 730230499, 82022003, 276863138, 259288238, 871562639, 309774004, 901574227, 272803967, 986094813, 313719478, 563782200, 550321319, 974926430, 51565918, 680528207, 598928758, 954879289, 454367651, 89217175, 426272620, 528609468, 356339537, 882946011, 541155220, 910403347, 679182531, 789987651, 769268709, 545586281, 260932373, 953901399, 614243501, 265665124, 522158120, 93508886, 217809415, 373690731, 59394985, 322524431, 218070480, 348413551, 190872799, 795741345, 18304232, 30981280, 161186209, 93764158, 742293354, 231016397, 660996306, 879905982, 295603817, 803417050, 800257962, 645705994, 51662926, 489770883, 348800998, 162219632, 306283154, 993959005, 458172277, 292681888, 621100450, 55953959, 277770324, 768080358, 388918303, 508635529, 147204371, 653757323, 608212216, 488155246, 905442431, 269819737, 348135643, 802721705, 727538620, 838869694, 768846325, 72705567, 2917271, 156586064, 558767351, 46099501, 73129814, 201208153, 319867050, 668413395, 149807342, 167762847, 580923731, 51579738, 483011118, 729358604, 878049390, 35995329, 633140146, 961892000, 557871030, 178741044, 700471875, 679023190, 484157946, 698010337, 900991985, 109342881, 874920003, 238435832, 851197205, 315562463, 618815599, 107603440, 916956036, 740141927, 114643909, 568596525, 134475127, 449056364, 382120449, 979201285, 150289259, 170928417, 459364641, 385272422, 176618349, 901332432, 251464096, 606114608, 78948602, 675737703, 586291298, 318184509, 201557694, 627171010, 981175079, 942875884, 79112814, 11126652, 220746187, 860661751, 535105527, 285652218, 924014055, 886913577, 651521984, 487467879, 860854605, 208189453, 514330753, 282248253, 346498262, 899115750, 964797665, 80112349, 56718332, 241434680, 390615064, 15992928, 768775700, 771453997, 730314942, 187806076, 127859046, 579982129, 999035537, 284408078, 486947377, 265189729, 245302679, 582234386, 152215567, 93626834, 20140945, 253066060, 781417035, 722912618, 510676540, 700434291, 265335267, 80019467, 138137745, 786921628, 855442313, 545371378, 966986296, 43926316, 965220069, 834131258, 694586307, 955270213, 64571830, 428858967, 714250637, 875937365, 721103773, 743266500, 410974686, 841738982, 721718392, 192532226, 281722487, 980628386, 308122101, 346455837, 974901010, 871585719, 403486615, 288011484, 602675127, 502159124, 428156069, 161132354, 281841246, 108137019, 799048156, 181804317, 56058428, 760466481, 863672379, 570422177, 535651742, 940764013, 73742745, 46691152, 767431245, 75782565, 580992610, 235798661, 528362502, 361433951, 810916148, 503718636, 147124920, 784609103, 250773233, 358579612, 136893555, 290762904, 539894506, 356827242, 468478938, 234308605, 764451582, 414990687, 359103975, 607817419, 828868724, 625332183, 746125268, 847896215, 249649446, 738693481, 307223826, 900080935, 371915368, 19934399, 459081657, 122924506, 981916796, 779833178, 972858689, 666949399, 358396149, 985306500, 642696770, 702670415, 159745706, 907509139, 773432631, 38103458, 239809570, 851530440, 405843614, 251018626, 661928953, 926050372, 957056330, 959840395, 323285397, 924207971, 992726456, 138495836, 452156222, 67332393, 765743835, 111967099, 342543530, 40394068, 441185389, 838389071, 818485865, 627680886, 30537274, 955600892, 916053492, 27102407, 823045200, 826881383, 774023529, 250054422, 494135371, 695497413, 275728531, 222546046, 423641123, 422697817, 870331817, 129090800, 710165049, 314261885, 85657099, 278457417, 631018571, 527536213, 167710262, 297061627, 595658186, 906356203, 996739817, 774718967, 569092555, 917124190, 985872029, 37854163, 597885816, 76105975, 425232593, 114620617, 496361983, 845543834, 213834730, 772362164, 940157357, 457095306, 875201413, 949362426, 619157958, 983650259, 918155649, 414114875, 446099734, 229926358, 618805821, 681785499, 680434040, 303063948, 518379601, 23957944, 935436813, 400803950, 727262787, 855642325, 426244346, 244149962, 899581461, 416922029, 15130327, 954137168, 196215227, 216069713, 285011004, 716815089, 759246963, 141993273, 603497766, 689237214, 198417373, 630592492, 709464828, 387786543, 373690973, 388099666, 601225061, 242444525, 79697603, 850145602, 919992347, 473272416, 129208382, 669091583, 199905613, 165914039, 950787160, 456444556, 298768092, 891239943, 871414129, 873923941, 217453204, 934666286, 730565127, 748390764, 904593166, 671477325, 751173496, 31455102, 913359282, 563702548, 763312441, 636497600, 443242973, 407868989, 801959305, 357268029, 785182063, 776929735, 245163613, 53463168, 729059770, 844784893, 982897964, 916042548, 684234056, 750295903, 454213989, 958557996, 704123155, 124773408, 747789678, 624361752, 203383649, 266160873, 532074552, 866449339, 196304148, 695132716, 877603942, 125601734, 349087002, 164475724, 738651033, 673671540, 146685989, 336102161, 817918988, 759423881, 898490938, 267782873, 349207092, 409959242, 174903716, 875233705, 644587668, 107258446, 807970494, 575098468, 567864876, 814860164, 812145023, 73361276, 128302090, 582760503, 64362997, 293161538, 420446532, 753739370, 749024856, 440921868, 695372138, 530355028, 137157144, 299698708, 304762186, 266852379, 259997081, 335960596, 295651483, 75748580, 813995633, 624583780, 458780768, 704058007, 967918318, 976948501, 345235104, 580762717, 887268490, 621596015, 910128015, 501969879, 334591172, 56951730, 486417821, 879739185, 228912463, 507461977, 268337507, 822948650, 88344354, 292151959, 579711582, 645640875, 522205658, 69453717, 842341659, 839432720, 858159750, 962943188, 658785855, 791738287, 460820562, 442121645, 833144297, 915682199, 157243110, 698488400, 757297069, 969228484, 634692983, 662470068, 766095008, 99762503, 568209873, 873156079, 966679164, 274972511, 999935604, 421388279, 284330122, 364007550, 148652805, 690492643, 84045000, 393911307, 147335081, 55893709, 779866591, 513227205, 802840675, 345469386, 849948576, 67455147, 793223988, 440569200, 414141978, 192138225, 694196607, 809634686, 226721255, 6937929, 477953755, 320585254, 584216582, 381489894, 504128766, 142182045, 293374683, 75852730, 765165325, 173790671, 24148504, 381907510, 738301828, 77301592, 263544094, 600167459, 441423330, 472756510, 438669301, 700297566, 332243535, 838404631, 605435919, 297760252, 871143030, 760575336, 749352903, 283154789, 530354052, 597474318, 768482466, 457816017, 785962416, 512252352, 739598308, 761673790, 211464485, 364803929, 659785789, 216530272, 308039663, 72328488, 656539167, 515927222, 275505151, 476315414, 438508579, 262836591, 889507418, 21718498, 170484470, 422706660, 234801896, 252382185, 509700794, 56092078, 783411558, 471942916, 488673025, 306752017, 495392329, 933541945, 995722700, 81166867, 94300972, 416010790, 491799027, 486566568, 333195311, 788569734, 213384988, 628689339, 362965631, 209614483, 736342462, 61918932, 42407847, 387070428, 684670516, 708537529, 691427860, 972576235, 460882302, 135671169, 678579303, 526400524, 82332336, 228285408, 421089488, 530519348, 35126611, 799392197, 385903608, 165481988, 347953446, 923532436, 433558842, 37265955, 945262965, 587945162, 543777200, 384142225, 214670210, 234138698, 260372135, 11357265, 675280704, 888239589, 146709428, 727397867, 356139670, 296787824, 432853592, 214221713, 581773141, 689508395, 882785628, 897365028, 965669867, 618288713, 784103326, 987054639, 691301706, 280974678, 467670, 567202589, 657835403, 225668959, 231794114, 470934033, 463418767, 892930146, 488101996, 113206014, 532335697, 330093615, 833839900, 117267457, 140035313, 680525048, 668786912, 357856772, 713191217, 889032634, 715732963, 646389460, 776160849, 169670459, 991672330, 700603581, 608333509, 233284725, 322146922, 983995544, 856789200, 227702190, 170691724, 470785192, 56302081, 956479399, 695575446, 523382368, 161377338, 78306686, 384039744, 76977749, 876297715, 11932850, 643114007, 702849735, 260061758, 573509928, 283021639, 369423428, 153846276, 882015393, 109476902, 700993311, 428018306, 874542293, 945778675, 912017653, 471026903, 28636787, 711856860, 488240871, 303220911, 251221550, 819756752, 236214049, 326478346, 281787335, 203751404, 18215784, 778628237, 181827839, 833223129, 686511336, 889260557, 729991206, 594757393, 442206721, 273864083, 384515331, 498547703, 43893904, 369354027, 276435734, 638831430, 925423903, 169244447, 713571854, 299793714, 983123116, 6137572, 309244051, 947922421, 524362359, 937839278, 575359983, 232557369, 549173814, 605540478, 717738697, 573000968, 278461952, 779167530, 908713614, 254373222, 69042323, 446070331, 152604039, 211148618, 756713835, 225057605, 805558514, 384757371, 144290779, 130318371, 265027278, 455143480, 45266602, 775642009, 963732204, 654266367, 970497697, 115382794, 696780322, 398234479, 717278431, 39511188, 605472602, 383930491, 251295223, 953190711, 224443665, 129139683, 789728038, 34551920, 181054167, 440385937, 504523438, 110423967, 70296556, 560697036, 153648088, 63465732, 276720061, 561743072, 783292620, 433499438, 813231545, 217668702, 222015669, 799037663, 532469458, 67418169, 112908703, 979712956, 498170560, 889325879, 586355132, 545873908, 923848961, 41556268, 16719790, 765934070, 481138422, 302165970, 907445460, 433241265, 361828344, 848113380, 10725932, 135348035, 300143467, 977403649, 211486864, 996581724, 857308411, 30799664, 592384025, 118291046, 862606361, 813197625, 154198508, 521000208, 63418145, 316042241, 905265785, 615144761, 399982377, 221692047, 146591014, 996230327, 140733252, 669617502, 436236718, 85439385, 264640272, 294214873, 473522066, 349159543, 978310929, 587017871, 157116111, 244805985, 713087973, 604138936, 917408935, 767545133, 735962944, 501309183, 869698117, 374047213, 284729114, 274950670, 184467706, 632518228, 921051614, 908329701, 127291830, 744000609, 783609542, 317289750, 563583281, 247110221, 506899775, 91856877, 968426730, 254507513, 874871206, 575635127, 57435169, 746994297, 270199279, 586078303, 534321245, 89231316, 243409389, 984872695, 602875687, 967193641, 504410790, 324320432, 304800220, 10521796, 884694599, 676495875, 586838365, 509790815, 157561197, 774167141, 491513562, 792482408, 394148935, 48076889, 275628373, 379638863, 135909169, 872322060, 56542370, 793881914, 479648044, 882974572, 936470318, 698841280, 679338441, 280697003, 242669991, 51860054, 19311647, 544563396, 645639294, 817836345, 291739587, 137774091, 664759485, 207205472, 785646140, 472371166, 814061619, 738607318, 798721454, 562874834, 90637655, 482896215, 180230722, 670725360, 825790750, 750162303, 76458241, 212563156, 81578370, 730833567, 154525275, 710887944, 783760398, 135609983, 822847829, 959137681, 896091487, 285429755, 878941490, 991946966, 939828831, 675059043, 240827909, 797730460, 491094367, 484390208, 586788685, 519797221, 803029456, 120049921, 331729630, 397300202, 468600471, 828310349, 638126999, 512407676, 735815049, 127262936, 360343240, 7214375, 473778287, 235353321, 701002453, 715479638, 498559607, 269250768, 17435562, 251019353, 426105364, 347104312, 240219577, 628274267, 757358261, 597600425, 296858682, 666252098, 695389094, 293106674, 415656122, 665800058, 743289643, 382080907, 184920043, 232781552, 28659416, 279425793, 751073673, 272752149, 113606357, 464422580, 332790942, 769105564, 66227382, 655754767, 653635143, 883077510, 279612181, 332563529, 347448883, 297285810, 726023510, 843570161, 298154159, 470796295, 327308944, 113299238, 420094140, 621563499, 732594414, 527424672, 189955811, 88601537, 626969880, 269283967, 740152930, 353906394, 57253165, 944317805, 620598263, 683428048, 36852308, 871862030, 678348288, 310407690, 953562020, 227682529, 572993318, 82430002, 969777815, 554836885, 4873418, 683126130, 194441563, 745216479, 960711940, 693571409, 64208011, 945689679, 299701949, 697680525, 213296897, 893596671, 400586138, 41173684, 922268205, 958418171, 488821749, 36529135, 540106555, 163305597, 888193507, 72802106, 40085557, 257306459, 965204803, 18789935, 39650900, 818242382, 206953651, 505422039, 828151969, 938142662, 290115927, 673156181, 41602560, 470608759, 826550194, 478289274, 231916019, 375935944, 464624252, 203862981, 654765651, 475202611, 357143587, 703460680, 922164684, 797317963, 798629850, 657656608, 216063806, 953940252, 785202388, 609890670, 6070761, 590037797, 261732383, 728031156, 241277287, 320810213, 46201245, 182836601, 754966506, 912477679, 712052485, 718347636, 402664349, 280061965, 390476070, 112291771, 409647473, 681680536, 571240716, 488320887, 330501527, 423725809, 307436782, 667885754, 875599826, 868342507, 739163591, 867478879, 377571395, 462261459, 910035125, 340881623, 821972217, 973002933, 587897458, 95223618, 213731211, 625519532, 702748071, 763165112, 117498976, 280741451, 911555769, 291782621, 678441732, 78414036, 218754310, 503291170, 181903682, 527431509, 341541936, 824366369, 24087331, 403096850, 835643270, 356380095, 137038296, 379940473, 641028920, 267463118, 159922152, 580147292, 245576907, 985289324, 825503700, 75333101, 324344277, 107539347, 735471268, 983095077, 633527988, 459403618, 681886098, 119994641, 442437245, 39091298, 953624636, 422982958, 708465168, 78935680, 314924579, 277911085, 923660822, 22714294, 611620744, 963727647, 476973023, 330324835, 478335574, 72355991, 544175411, 964656943, 716739422, 552686247, 592826379, 808023158, 259666800, 347002052, 984521898, 814791516, 344934666, 719828517, 469381415, 884908741, 200180287, 423779896, 41633238, 339758222, 560420792, 859462956, 336479717, 433063522, 442090958, 204755917, 822941177, 840693411, 978598224, 639366865, 977983683, 925515878, 678739322, 75207901, 309177706, 830157283, 92747617, 246131952, 451185842, 670662922, 285923176, 947753495, 654538696, 40335675, 159488505, 523544064, 977203358, 192587577, 265007352, 779596339, 320103439, 961678983, 541360377, 597394538, 54730152, 591734791, 217078181, 996935610, 814574403, 924288531, 298744802, 711774921, 28039273, 280372620, 820034597, 980882203, 773310834, 136014992, 171449411, 41741132, 730813893, 481589193, 570447133, 991236757, 692966948, 65460580, 184658084, 171501287, 815773176, 825117500, 931547129, 387941744, 908458727, 487557708, 76385657, 827276764, 205478515, 414272069, 645950877, 876208898, 569961692, 757503587, 877666335, 884968386, 245737184, 323677992, 317195208, 889574872, 384145786, 930587285, 530919159, 813408878, 927773635, 895141725, 277900575, 264735404, 933186467, 57780251, 80114404, 659834834, 13855452, 794169414, 123524600, 105237100, 497059383, 119462424, 141899200, 96046910, 677566679, 482489122, 917795144, 55577609, 558261741, 942262253, 669596670, 5533979, 231193661, 938720988, 125715452, 330012465, 561431792, 602849400, 29398540, 88364399, 916987529, 988017263, 595622798, 663106284, 717020886, 946344088, 401886877, 91464655, 491778803, 585268694, 767167093, 352231945, 793528015, 700821486, 168737843, 728863788, 351355858, 642892016, 934782279, 780056996, 189398410, 640479396, 275680174, 44959867, 402603064, 939592466, 484707834, 720999673, 484138750, 311007072, 650497665, 477425697, 279917251, 793053232, 347000982, 459462237, 624383496, 840732695, 829981890, 812798015, 834549047, 904859071, 861079068, 349014573, 728195373, 940381353, 161509916, 98629444, 65919379, 931746946, 860873110, 51745688, 392710988, 767153449, 376345771, 780480140, 341017321, 631497010, 426799303, 316555344, 935706066, 740367913, 878456862, 290369023, 341149647, 108018899, 704391065, 946613030, 888698675, 625735641, 705230057, 682993926, 917724882, 267857696, 533789043, 854033932, 902228283, 961793006, 388168134, 408216414, 320802404, 624710290, 625665173, 115125988, 86937866, 422682070, 133614559, 108947940, 59509483, 672451663, 846420237, 68051314, 494655172, 524261551, 371199610, 819169902, 947108113, 313958922, 604803634, 471389148, 427535663, 895367576, 320165536, 78619523, 699553733, 523981013, 468048896, 806425190, 178042814, 820486486, 655703874, 511308259, 267289904, 530097822, 4752455, 633073694, 893995653, 255335811, 23733245, 234557039])," 1 (minimumArrayLength [880134581, 772576344, 399895356, 285967908, 867328643, 442745784, 424034268, 345772360, 916019994, 542598802, 933956188, 790793630, 683928860, 739568265, 956222957, 333512601, 626919162, 553949110, 627736799, 918401986, 613953728, 387419984, 458262981, 817382805, 248018453, 688854223, 838755468, 470061499, 869401840, 303790130, 838894964, 165822129, 594444959, 243189521, 669050758, 737400510, 231655911, 30326960, 235299222, 649728743, 671186820, 286886018, 436529751, 185275958, 547596220, 600755891, 209994949, 961919305, 375781259, 759825101, 626503060, 25211291, 934281965, 321043477, 542621448, 689843640, 219739535, 411035537, 449771194, 226860314, 896492991, 996264811, 215102042, 756270916, 178304891, 261744798, 558714022, 706782684, 956959014, 490566913, 542120187, 719256649, 416303989, 61347588, 153604934, 762771462, 603882321, 427415285, 765590810, 150127576, 154080204, 615974251, 14547133, 593013610, 676690296, 667964848, 886562719, 918748935, 986729577, 62084349, 924807360, 626914636, 218372326, 166342871, 420648285, 955220235, 891435030, 565138979, 521600366, 338037871, 754271599, 107000763, 888415279, 351965887, 701171583, 473187119, 448322308, 683063263, 621336856, 441295215, 451921142, 675330910, 627256387, 818825062, 44897016, 582385043, 393380812, 340108689, 233337944, 392598383, 130523171, 482971695, 852799954, 106048655, 369166645, 522158820, 499886164, 611754363, 216567126, 415808131, 14652524, 258245719, 924670087, 192796564, 317461463, 753866154, 890410282, 980006795, 352341946, 490438905, 169688110, 37675331, 394193105, 631912887, 669203877, 65544428, 970631344, 706011143, 8176764, 501677981, 339117111, 176773217, 791368146, 587962126, 627740643, 733236899, 611860782, 562305253, 766521040, 312178013, 47761851, 98432974, 588162107, 444674798, 571338681, 114611482, 583158315, 926899872, 897431605, 836739450, 768186063, 310965058, 139757743, 778356561, 367377726, 710071529, 865143542, 116307916, 867012046, 356666333, 921026908, 54450768, 134760156, 285246220, 388482510, 630448736, 528156768, 176528757, 931414016, 307551907, 99316255, 266686125, 313456830, 793419672, 266440651, 533941226, 886515287, 72275303, 306917683, 124564538, 377120763, 430900101, 485708981, 979664933, 657691604, 90500814, 207190418, 967831406, 179496476, 431639293, 461749564, 612003348, 491543465, 143042116, 966639695, 794974882, 867504308, 535412914, 997445736, 485066855, 255377770, 400095408, 774358859, 603140676, 468099733, 255363971, 473944888, 197176342, 973530146, 172853722, 199954001, 978998390, 830249155, 171041494, 120249799, 579789336, 107296359, 438775113, 865549448, 562505285, 231622051, 714284255, 416414838, 269725703, 813564951, 944196270, 35646766, 968437086, 546502886, 546422956, 875177829, 326017648, 683369044, 63654388, 914744887, 494446264, 832996181, 566016927, 233133088, 444528299, 204444062, 250989857, 118983280, 119662544, 320619678, 613517678, 646513731, 519700369, 622410353, 711144761, 266942622, 520873743, 104955789, 129013154, 554852411, 725295921, 899119983, 32574354, 205539784, 900472700, 608023236, 102802351, 811913593, 867657831, 425237762, 489011961, 34960631, 778647993, 48441060, 113001319, 880043047, 404956576, 873335266, 931093557, 354633711, 908299247, 424017231, 702019415, 682808317, 448773159, 272677484, 998023769, 275324422, 181769605, 135097231, 374001181, 550506573, 281125676, 574620620, 289257907, 733000269, 726248148, 900258599, 216092838, 240121451, 708935526, 506559984, 963363142, 253694543, 777066885, 419847752, 2652071, 627294638, 171007737, 907616306, 519545295, 661559856, 565333487, 898602413, 13958534, 711190046, 173167041, 758537373, 237579306, 670774187, 819935884, 433063890, 915907577, 920122143, 261554375, 289850613, 806720049, 90279520, 669013334, 722036381, 729756124, 575351689, 192568727, 859312670, 128539214, 762993428, 241916328, 486223592, 481582130, 615943868, 351001380, 594050060, 94773984, 693430750, 533892524, 449685957, 334808432, 987874779, 888479582, 370668495, 811783463, 93478705, 69267479, 872783381, 190302820, 667739790, 145636316, 63906558, 548643453, 985463619, 387166978, 330385720, 125101087, 213821867, 651438543, 834569065, 730846149, 932085945, 929269685, 661825104, 861763088, 296522335, 150480786, 559100677, 710561705, 773008032, 669361091, 40518632, 676061939, 843546521, 565118836, 825528783, 398193933, 984187516, 589127548, 813097488, 95508608, 153585091, 548697798, 132398524, 269756492, 932618409, 736498963, 626086192, 780365242, 486370081, 871224782, 677702319, 732835810, 715527718, 496235293, 156585614, 612477670, 811854968, 608070165, 127260843, 993953090, 884552894, 13981110, 658916984, 395298925, 418582978, 749389445, 208198562, 484086863, 842428799, 475951277, 104882693, 385918757, 73796067, 166532765, 132510202, 537121325, 673264417, 165438708, 913594804, 326855874, 784445863, 896610721, 667820898, 882894177, 909420690, 49880421, 16788138, 566527517, 404188221, 407323260, 732317301, 743768712, 614759288, 816320839, 315273597, 835026277, 293575911, 206271346, 90936162, 668736539, 302389864, 459844314, 162515010, 862326889, 177225784, 528516817, 823703198, 229755259, 957042756, 517440603, 45020469, 309685972, 571201613, 888817946, 339605797, 268092512, 350297303, 286439307, 892585975, 563766413, 513505346, 872215479, 854012212, 218379954, 157282502, 470437082, 761379652, 276970771, 493873962, 58666708, 781357424, 151773969, 153870990, 348396378, 697076565, 343494124, 39075594, 37153310, 747327376, 122061654, 230235985, 221466327, 883883323, 732694798, 817210114, 325957917, 18766305, 517066355, 959470517, 421080533, 435913042, 705598828, 5348100, 285893444, 78046703, 488054923, 572627920, 432743852, 948900250, 736573135, 738344964, 988861227, 398334267, 277995509, 498754434, 510417446, 475048505, 481959671, 151876203, 700786392, 417931322, 508328046, 218383798, 81050850, 4313417, 473279813, 673133917, 651855879, 381360874, 160050498, 170551997, 476899325, 738621887, 351042132, 543581701, 861974785, 355566841, 826549942, 237117440, 543117197, 483543531, 745213607, 452335783, 621175847, 111318154, 935765313, 909331452, 951966961, 512011656, 833880599, 597741088, 872274903, 560446748, 744208922, 218081788, 142263085, 573883519, 508791472, 362161935, 279607720, 384278637, 965625191, 297709186, 462405913, 592725170, 413244218, 582331867, 664571626, 985169835, 916123874, 524935945, 484435373, 137106007, 649542576, 326401842, 244266171, 489351182, 297897611, 889704034, 155945450, 174442632, 26784993, 744683236, 986668727, 90041339, 495527940, 689047218, 762033464, 155512913, 60674792, 742149376, 596709359, 163780172, 646548398, 366898016, 320965012, 995240516, 723505963, 210166510, 798029805, 478153548, 56881214, 888721357, 542004888, 775626756, 809451122, 272418222, 173639111, 286098594, 611114581, 641980247, 701500272, 611823172, 939271211, 71699397, 910264860, 262532802, 64658012, 177893373, 662385997, 132751936, 98329502, 579500005, 740419958, 794639957, 142057103, 665985676, 914527982, 861261245, 428488057, 56775855, 910959663, 68015485, 360503160, 874976061, 190543094, 987695376, 558939973, 414401767, 247235645, 304530811, 493345265, 606075312, 479464367, 997036831, 737833138, 77451196, 869699626, 324606997, 813256583, 744407651, 955824666, 754177258, 740449609, 534833485, 379245616, 573202702, 380701824, 827132959, 377627300, 189601742, 558175455, 401128069, 463201588, 560587369, 731579902, 767139271, 579312239, 81695574, 801099849, 538042779, 407492156, 636329167, 25890949, 292048859, 151982005, 634079655, 754850072, 260757988, 468748736, 561942506, 697499773, 786723516, 371086704, 876426870, 717046791, 175042717, 882575342, 645212179, 546168724, 470672062, 166754854, 274065461, 569537741, 934786224, 865097934, 847170782, 800668609, 242817177, 489067315, 466647660, 664841831, 616484459, 423313670, 217250759, 767812248, 797333026, 749631803, 570555538, 379426258, 392460932, 954688478, 999734125, 495397031, 759678331, 649160808, 563505130, 898832468, 15339902, 283184511, 544660738, 85248101, 222703515, 160211141, 878631619, 648286438, 352828235, 838019019, 512509076, 600878809, 938338531, 41425638, 211520661, 599034085, 718208994, 828142874, 458943629, 759078031, 260160591, 134766086, 527382561, 781315434, 467586385, 435971510, 805718715, 283227731, 73074346, 472269190, 596254440, 694634299, 438716978, 777087297, 483236731, 156053414, 766189998, 532906092, 185416814, 84218400, 575273728, 529965932, 809119906, 85322015, 526122603, 401655498, 780076639, 442660256, 630077768, 36342618, 542794984, 199822166, 936772901, 77180605, 818811635, 201206097, 645087205, 979075212, 529223113, 42853898, 257526141, 853670132, 1720867, 236863356, 694651676, 512028949, 187912206, 385718107, 900644686, 50834120, 690257769, 601236484, 732283314, 110237559, 77011139, 289987174, 17427166, 324629539, 192776784, 544978481, 306967470, 920161449, 908974656, 916583129, 2248877, 805749663, 237375731, 669110904, 8963267, 342045943, 111357842, 470333536, 917153092, 659765236, 532679838, 398986864, 685861428, 96358107, 180004551, 590781972, 955957460, 771681539, 543948536, 392746777, 401956067, 710398302, 106514925, 347856221, 599578170, 116437387, 154764380, 715615838, 579277010, 845671657, 494033278, 780901733, 139390024, 277952692, 179821844, 998953360, 563279363, 688607075, 789711207, 671569314, 819485210, 981261276, 461562095, 427689991, 602816934, 692361233, 93224972, 143566458, 587418818, 892790495, 467671907, 241249859, 673915634, 453065593, 958982220, 581218739, 909532277, 826566853, 32422828, 479989188, 616245339, 367747558, 865774050, 80895272, 854099804, 940735465, 713823710, 357997900, 908651039, 431558662, 511202840, 912915540, 348524445, 211561092, 662037418, 416614013, 583743789, 759661735, 191792744, 835703055, 94302797, 565989672, 407178331, 93793489, 797953111, 669445167, 517768701, 984130624, 922044946, 809419816, 240115778, 278337927, 532041230, 661214810, 535945003, 898362132, 302496266, 921440348, 927427908, 594629097, 215105436, 496506064, 538979114, 475379294, 502812442, 235637363, 432616979, 603336447, 76950014, 686533318, 70537644, 734543399, 424946745, 175372282, 844018573, 761543055, 35205055, 628687645, 950267177, 549983511, 198485422, 187359376, 176747298, 859964012, 376627453, 657128300, 183569546, 886172616, 256221030, 300621767, 31234219, 751394526, 593680602, 553840813, 22071677, 97957834, 261117661, 184885080, 831609621, 263373030, 325013264, 743131724, 363682873, 328548105, 537817330, 125466955, 975776780, 24702259, 65316095, 216264569, 158011448, 882818224, 349215164, 420639521, 452781685, 191103336, 622343398, 878372588, 907975301, 758066951, 975328122, 62985578, 61909456, 386874032, 713724838, 890473535, 185195713, 11065797, 314089135, 795360450, 706327741, 527825810, 920672612, 174968481, 981349202, 534311286, 37732071, 631176666, 841586215, 927795421, 120036032, 320628049, 782545674, 749094841, 740887370, 270207196, 67485636, 902423647, 51879070, 66981155, 523366167, 419607420, 672979049, 791043663, 530046309, 416682213, 812732392, 59711099, 120523508, 545936022, 611587157, 535590655, 285963266, 8145664, 599957583, 428105620, 174340714, 310558245, 70447271, 940842957, 570508289, 925456263, 98443414, 643220660, 277755316, 850283835, 540825140, 788939941, 998154476, 325098342, 380250563, 850094965, 859131515, 998188075, 418435195, 834469150, 387752591, 365563465, 451960681, 134334846, 891956447, 353489891, 337029105, 267027321, 89371550, 169408345, 778259043, 779660290, 42067294, 903738791, 977290722, 327805349, 153628554, 67370584, 223050152, 216192237, 422626883, 723733818, 701794979, 766535550, 736867524, 850994919, 858194214, 837536082, 112330226, 940167120, 945766578, 166409496, 812378888, 555885426, 929659699, 421668388, 601088615, 621827512, 14859556, 366179882, 280106429, 869154158, 183493139, 692369111, 171396178, 897359245, 941617762, 363206494, 78936329, 862799901, 892769282, 61190226, 795640030, 425614094, 904416199, 299516809, 116911811, 275966376, 459508017, 900447237, 941954168, 996501730, 588394149, 436021075, 645997381, 756179844, 503848726, 566747041, 209474506, 979152914, 68140211, 470617450, 617381764, 176938785, 847368396, 141207456, 305173944, 737893686, 222174823, 161525396, 504857329, 401814031, 212645175, 528881497, 651687005, 108938678, 555698488, 596216009, 58281356, 875618559, 293658280, 184101557, 259458365, 991563909, 589089716, 666700585, 599546523, 856012064, 444852982, 54340573, 218873795, 263926502, 892015658, 133745280, 699845646, 96771102, 523544304, 570136135, 51721450, 172387488, 479090931, 786819469, 171460363, 591513922, 862728817, 752485090, 526487159, 696592596, 24678964, 962421987, 769000589, 48852146, 661017008, 302618527, 680947335, 740857756, 563600952, 183924161, 452180034, 693831759, 101967127, 31054786, 91737730, 651514973, 64883071, 609927629, 357201698, 939343995, 509341846, 651440103, 57979123, 945232207, 686351205, 711889560, 875313201, 677832830, 898234859, 510122457, 265197318, 773297210, 648845235, 709706177, 657632913, 148241707, 571881428, 839670173, 988238577, 646014857, 615165986, 541727120, 73485003, 443930949, 449762269, 979604289, 383926461, 227276678, 162037204, 495227167, 433029221, 424448698, 964862201, 829425930, 102024962, 562401930, 329558494, 7311074, 419358016, 494307195, 797314957, 424710001, 602063242, 173556290, 125967227, 188150945, 756824129, 713111706, 814169505, 197166219, 712966411, 879461144, 406442641, 510256168, 347928793, 368754833, 890191749, 682372365, 138240790, 747721640, 219309338, 524181514, 370760113, 436301661, 860516073, 691836876, 692611666, 394307541, 291055171, 742487977, 670666604, 752328679, 367522778, 426769960, 567519212, 873066011, 219728513, 121789517, 81472970, 709711604, 525944912, 876902987, 42521265, 114998371, 270989922, 50771903, 779680368, 57052960, 903587836, 943165240, 152928669, 321759514, 325023225, 343090394, 879846901, 153627120, 112113062, 281766978, 214000481, 221281563, 393210444, 333557984, 769202502, 44183180, 123977758, 607898661, 163389256, 625546306, 665003068, 695035568, 270652424, 945461310, 864562928, 461380245, 481649749, 852837953, 476267006, 206786506, 209312089, 185441970, 373448724, 929552897, 200210500, 103459553, 144584992, 491412477, 184851199, 479789037, 91741401, 488779870, 964247927, 552844256, 468009547, 239812109, 609852086, 818950291, 102327732, 863709170, 813045574, 678415650, 986123934, 710239254, 210831962, 505162691, 420461693, 545438476, 7797730, 568810553, 931345382, 906217549, 430456515, 173628963, 292494095, 107219426, 549508067, 963564693, 849151182, 534795215, 480840604, 646518941, 604736001, 959477896, 467692514, 421180748, 421787878, 721141457, 581020237, 740191213, 288716393, 85717855, 619401017, 811949627, 656967405, 592961859, 9411446, 29759375, 559454848, 551489736, 502164197, 770093946, 669643578, 344958550, 541577042, 779195339, 684602386, 913457927, 200132908, 450227575, 733159299, 828704931, 393186364, 799931151, 989534405, 218836627, 160081407, 47949021, 985620554, 439767022, 600714, 495495185, 60199641, 268790512, 196435175, 113966723, 302799307, 60534034, 606501938, 457288995, 167775528, 964982527, 689021281, 226628045, 780137520, 264998706, 437816417, 728808339, 867920937, 880621703, 601897238, 609684610, 763433141, 587260378, 60814402, 827278057, 237049497, 690916996, 482725843, 654099597, 18528212, 430960501, 473937225, 482783971, 208103646, 770778613, 512019572, 880733956, 490928234, 618524844, 803238729, 665597934, 616789008, 600587092, 643721641, 158496757, 134282568, 319200580, 28258385, 743498717, 396052512, 103573165, 36531067, 223986369, 254329795, 947187062, 940789394, 164377888, 776672798, 464676212, 301994891, 75651122, 903905978, 986104978, 106547723, 268020873, 219739741, 487257993, 735791232, 989211030, 378452656, 134419170, 455535464, 705992556, 780465696, 441150358, 447708575, 728959143, 515254405, 841302849, 699058320, 334771242, 635985965, 800545078, 316446845, 526451793, 655597577, 962426078, 993821776, 416489243, 516026856, 868204626, 217210986, 859142864, 936553674, 515610154, 886003773, 698797796, 992996010, 743396685, 380582672, 528882456, 976415193, 557079670, 586004974, 16205129, 149273514, 205225407, 984103384, 482325608, 46915971, 112526002, 698204581, 985735014, 769870509, 23587066, 331246758, 816497241, 417735063, 755506684, 384056946, 287854193, 651352498, 316285895, 734301170, 438300577, 813685254, 466187095, 744997108, 132352140, 336389235, 604950873, 517850562, 449840557, 923138843, 247753537, 304262871, 936434074, 150583455, 172885342, 73138219, 514111262, 154051255, 447694590, 189667118, 836505073, 493201418, 741756469, 203092472, 31690956, 981778826, 73767046, 568051413, 429089611, 977403653, 952200436, 14455362, 573251540, 191730834, 276579102, 70853738, 171808054, 208442406, 851465524, 532989525, 653667313, 752657273, 58946045, 272740085, 886739804, 112852903, 499398597, 864446296, 730620154, 81106425, 299526731, 900727649, 100505327, 299352481, 991008226, 723257126, 563137055, 878157515, 158782475, 588053481, 502838215, 408446454, 781625212, 21127776, 896622836, 918759002, 935425080, 61888471, 612182673, 177366247, 690155543, 115011574, 748249537, 655721797, 659690898, 228417059, 537151795, 842722133, 993917243, 730423320, 449628813, 6364244, 100039232, 117368215, 259066785, 645933208, 609097517, 405748786, 551432159, 600907654, 468230450, 950926704, 387420380, 688027441, 64837348, 983246898, 721375778, 330290051, 358806879, 934728758, 469044479, 493285999, 197978023, 615097485, 651161792, 504194903, 69153659, 648684407, 349740669, 131591369, 278256733, 453913684, 662163947, 617552739, 261153686, 723600336, 396672550, 995128794, 254881104, 437279852, 48798391, 213660407, 617865204, 147315456, 585408779, 56923662, 728651466, 584396128, 919784043, 680357374, 305368272, 11529393, 167379580, 116812010, 814682781, 329090073, 941329056, 66669214, 420872178, 811550443, 837222041, 567492099, 783575592, 710768922, 137575014, 710342549, 82981288, 987943564, 258456475, 468771019, 255983643, 362200413, 47502277, 289159318, 399635479, 442212665, 111649090, 872160154, 367896929, 913241122, 104593010, 742256538, 99382518, 721327260, 730778209, 11111220, 693491268, 77197842, 986255623, 817697531, 82676340, 170633033, 724107908, 139906038, 578055297, 379030386, 365378502, 681448528, 238487398, 970659682, 178645656, 219647130, 640016793, 193327590, 842854339, 469888791, 602792684, 896367446, 895790618, 736489903, 993802620, 431518449, 771225963, 424566083, 665618103, 393455369, 297188008, 902745447, 795308555, 122243562, 302527475, 401265707, 124186401, 655007361, 452165170, 996297717, 249240501, 327468149, 704503438, 885391687, 68148599, 786724826, 545753051, 853072026, 426870106, 89241862, 520261417, 83933253, 259308983, 164457204, 763768506, 441763015, 264510823, 838686598, 67631513, 916142290, 483325405, 579048898, 498085083, 476232898, 150605306, 867076467, 972788442, 85301124, 120540672, 617160931, 149817747, 632261526, 848427828, 688408611, 978732678, 849819215, 768518709, 611630648, 638240344, 135657907, 92299879, 332481787, 511810191, 28021996, 141540783, 65787126, 586562957, 269445371, 59233012, 599170217, 39434403, 623399301, 173620216, 917426988, 611925862, 269604200, 135145280, 478531362, 373128932, 364449381, 727537493, 578711396, 378809101, 78883507, 735615072, 751887574, 225407373, 92672921, 153629933, 181387715, 379259787, 758209495, 178626801, 251235767, 533765874, 855945630, 403543512, 561320502, 905203378, 851629389, 951733071, 404594014, 751693488, 139595787, 922915032, 789803680, 151577066, 719385155, 535058971, 375930054, 414477870, 687269879, 456160510, 580337833, 24528308, 90762728, 246767754, 621541402, 794846439, 141426772, 447790020, 164921437, 731591452, 578469376, 395298172, 569038719, 864626212, 339785938, 69146035, 771499393, 70689027, 59291569, 741811434, 961303996, 508605250, 548333580, 755747157, 633038155, 148848049, 668313240, 104373766, 350354552, 162936130, 296087603, 760609343, 862695741, 951721561, 995208806, 300108028, 392859482, 984989099, 750297115, 297797683, 631804731, 981318307, 574610714, 549598639, 140394307, 503830565, 259101642, 705520360, 820390021, 859915830, 846788934, 229133577, 767976744, 331844732, 69798730, 641436386, 247177850, 596697633, 697053935, 580017933, 214227730, 953002617, 618032872, 812231634, 402774115, 177987237, 636706626, 666118197, 24460186, 792776090, 563113284, 190520849, 622985094, 728732889, 583369663, 329377401, 871472336, 641861133, 293626715, 373799186, 35695867, 479155415, 254490628, 300750322, 692446168, 694321056, 846338356, 212582822, 157416787, 919545078, 842930596, 120076839, 313133540, 904954772, 609252495, 770173639, 859608129, 969925755, 16360958, 955212592, 44157707, 190278628, 426555992, 460422723, 452244153, 419159704, 387954827, 706823702, 78285174, 438956589, 63328254, 463394999, 296821640, 769584373, 498213425, 68803662, 986819385, 80218182, 167618716, 865524752, 72735552, 316623758, 974033857, 105271371, 758583434, 9717387, 70773112, 993343705, 347679241, 481037028, 185612719, 872345821, 431825976, 812570634, 395056075, 802189373, 290366213, 875480868, 633330130, 369201188, 405095154, 572545798, 833505626, 947939598, 359122225, 433202667, 80286651, 658519099, 952492304, 714907217, 32973500, 568352327, 279790242, 19065587, 962868116, 217880562, 837383273, 621240372, 759916378, 442049269, 253180365, 90834231, 307579845, 88943641, 747922868, 438782671, 258850955, 194207089, 281747763, 774629962, 433039410, 611661669, 481490435, 333595310, 900179970, 655185148, 135789128, 980194675, 960851715, 239709283, 246534646, 960461130, 421521249, 796831313, 111278653, 674136070, 749467478, 698566870, 695240956, 157281280, 619420093, 543026019, 578052070, 577949874, 534745180, 238719521, 704613616, 100786738, 422622127, 227634021, 891045564, 22568487, 134377904, 707191161, 134738821, 260834729, 106127363, 425578281, 276730987, 114500982, 708262188, 849744077, 8695985, 952519759, 426410880, 263097653, 748578107, 985301557, 227742037, 378878077, 659929914, 795359723, 526922511, 559456295, 552487088, 111622971, 39837625, 338800241, 129607375, 111359509, 247604166, 752502743, 620086098, 863923357, 493961085, 156780742, 467995463, 700596055, 365893473, 805388765, 414743121, 462166346, 755138510, 352275527, 863297149, 897246513, 533560236, 611620748, 344047092, 511548960, 538166882, 326774152, 790792184, 969759827, 14228468, 790569648, 656749223, 901574409, 121474565, 465703526, 299275550, 204709903, 418016999, 940698960, 991006749, 859119046, 443194910, 137070530, 222897214, 54183866, 312380392, 780630321, 369682894, 2480034, 532864381, 32284294, 353630520, 585544937, 143995076, 876190582, 725301183, 418823086, 254447506, 929511656, 10249536, 965878678, 333852087, 859476766, 847392027, 548091454, 494615494, 951679252, 21496311, 91776224, 657743618, 303969631, 588258572, 746531310, 720042308, 456893573, 201306991, 857560630, 897488572, 657456847, 312885102, 604607510, 176237782, 760909188, 917764102, 538901744, 709228448, 163580968, 347078808, 280789372, 561588265, 949745639, 321879801, 481349233, 129357682, 287456062, 790099015, 503389519, 798310544, 647352229, 309257212, 234797849, 39635800, 474306494, 154174829, 521924648, 918597576, 464102856, 769510331, 724065379, 322714373, 360702606, 327708720, 272620202, 492824845, 291686464, 35709477, 521848201, 12818220, 665496599, 415225050, 734114117, 992139588, 547331410, 316797623, 703351064, 929752390, 787824152, 757360642, 256458546, 681361391, 450699039, 319461551, 44352269, 474536512, 46868709, 152686036, 386573958, 204094073, 825579934, 197151252, 560877903, 528503712, 364689940, 70620046, 659869127, 724771240, 832810343, 754116596, 49426883, 267241002, 747138124, 273144391, 478277993, 453790794, 890766060, 847152275, 262720034, 458974246, 679028981, 520702921, 483367399, 981746812, 14028504, 176728008, 658791441, 875735224, 467407109, 468214839, 269472309, 268261275, 73363443, 297967191, 54907598, 974938344, 17806392, 292662532, 895947619, 840555959, 884385441, 841708894, 257746916, 489857544, 232996929, 190619201, 423022793, 743083091, 438058220, 554408149, 111880559, 965219302, 668017885, 823259574, 472428536, 813910760, 986702605, 556845780, 433579323, 927368928, 473608965, 166680194, 283332311, 355720431, 128215598, 173709844, 163856707, 779657383, 780228060, 553135678, 694035129, 492397970, 350727737, 517127464, 878483215, 219748709, 207253745, 514304549, 431027779, 387991334, 461610399, 818427897, 847103398, 978515377, 652539219, 982444559, 993615212, 850571612, 960687715, 48944000, 742202851, 455882946, 21496059, 875233018, 596427840, 888015296, 846792885, 745388990, 118447504, 191973880, 64382136, 703577285, 103252524, 690054196, 308189091, 897929584, 872710586, 112274640, 767463251, 767290138, 952724760, 291311206, 352014967, 632984407, 501905941, 255121980, 593074290, 550734819, 553622678, 319300726, 682151721, 491122144, 795700186, 36869078, 303956606, 325317411, 327520520, 183506678, 964994271, 441377748, 932875058, 382431616, 511306776, 991732249, 967211389, 335690295, 395306130, 379167293, 481793903, 90409646, 114086824, 621442278, 241472451, 90190810, 968244321, 659585256, 296379969, 209416969, 384473440, 844575369, 468856345, 101260546, 811652275, 462950044, 93861448, 901433789, 223030023, 628211323, 881718298, 379607418, 331955406, 243841695, 124533777, 49155087, 296264050, 710571806, 58593104, 463893355, 730268310, 457565437, 16552135, 651497092, 93997826, 95881278, 959670066, 513667873, 966289241, 336946518, 863090289, 316675647, 369905251, 240966169, 562203917, 254819235, 954523195, 406261168, 989704716, 811617148, 805942349, 669298573, 922333436, 495766959, 768022814, 346283329, 80665061, 527444685, 515437651, 56817497, 174867389, 510709873, 983555850, 768574475, 506938762, 915760168, 715766339, 480193700, 207145374, 691764815, 892287236, 396738393, 150987107, 814119155, 736722811, 113129493, 135182635, 546307251, 127435873, 830569372, 291188992, 736971886, 960467793, 791057203, 911460590, 69528754, 433324528, 907867001, 780090987, 139382960, 801165571, 651259270, 521507548, 436751795, 153808064, 509878617, 567196036, 537556510, 776338834, 849023999, 340222502, 415929831, 736333387, 241422204, 219298991, 986199650, 289741199, 648777652, 516108253, 444615167, 783980859, 793363357, 676120389, 570184159, 819033135, 75535488, 300066219, 773278827, 451014167, 185068744, 164200345, 805605623, 77006993, 937996921, 843320920, 367229113, 42840142, 610608164, 10972894, 964124946, 558898715, 226164289, 348070882, 561992089, 610678903, 363948351, 294505764, 111587811, 80006759, 229403605, 909993966, 929850367, 732102768, 17040263, 728766037, 321227193, 767600099, 207661541, 464910357, 232668355, 450946302, 966684884, 782808877, 897993721, 465118310, 124561280, 527900867, 725610669, 194090322, 179788987, 707062152, 160728261, 973048993, 921184038, 423853397, 870466952, 742677869, 864580595, 201523670, 235766777, 704388351, 45917948, 193774480, 905296432, 176894635, 236912686, 614488260, 962052167, 674555229, 922119958, 701485511, 904012554, 355469519, 142567181, 102625984, 83532121, 317432383, 535893663, 713108608, 255708417, 826352987, 617926694, 652586716, 801788709, 268511627, 381245261, 478063929, 726875318, 850366219, 54454013, 835225928, 6166094, 55866645, 551548516, 698483712, 770704894, 870096613, 308675252, 553047494, 922311472, 944040560, 180288397, 646407218, 188125223, 72463609, 415461677, 803015332, 993367544, 827036484, 793395299, 327229055, 911109358, 440305471, 30153036, 650239477, 441164598, 205119301, 244069022, 972503849, 762679101, 909836228, 463363925, 596615288, 393459699, 973990140, 661772404, 983770394, 222644062, 260850523, 699712164, 834288108, 896053421, 804953673, 361108198, 764260449, 387786231, 876055102, 733912460, 496327412, 28906063, 742522280, 835899426, 167001884, 721601621, 93917791, 17744687, 704978276, 630176563, 138389261, 673890514, 956990842, 657980310, 632674839, 658423364, 346887378, 96958369, 792655726, 354000256, 434244671, 612020773, 792019673, 145949764, 350556720, 88502093, 816843348, 235552278, 754323284, 497443103, 55318948, 867055699, 773683539, 788552042, 351513256, 605329669, 985896236, 796044510, 18318804, 361584718, 568236444, 993887814, 629974510, 14056167, 216664654, 986971943, 781163539, 534481592, 418460557, 570205087, 742816843, 836692632, 666841808, 933401201, 622046792, 971313156, 796600480, 13794002, 419957322, 158449101, 997450624, 414974852, 919851708, 672868381, 174892855, 280972602, 272482210, 927609504, 573587730, 676339321, 332036593, 153071535, 511270624, 432031659, 569789161, 621456789, 737839181, 336933984, 330416480, 455615059, 133752696, 931141544, 477683891, 924840141, 274965781, 870826416, 561586854, 409846459, 756537093, 267311638, 90623554, 26533151, 330369024, 587476827, 460760665, 977740816, 343299788, 295053106, 791378913, 720355053, 280472762, 806856571, 211491855, 884357770, 902008889, 557880149, 124419528, 680573207, 199985189, 599242259, 459787465, 893252389, 775922515, 889571665, 815978086, 999775890, 546735512, 693730544, 884889311, 504429606, 570431720, 301654576, 109074769, 620793591, 106852855, 950285865, 636998811, 948330806, 434854123, 76336199, 87037364, 126875410, 257404116, 415957109, 450901735, 982811168, 652813311, 96789243, 479394058, 402027280, 804418577, 256750393, 310122095, 550095414, 213343238, 436112674, 970157153, 347627411, 924751075, 263324922, 405989909, 953672635, 395130854, 220216423, 598098972, 390486101, 570305912, 147127222, 135162789, 910814514, 392825345, 199228979, 904056378, 706822341, 796348124, 195651094, 55090466, 51404839, 831242045, 71053383, 706793573, 365404648, 910864736, 615848151, 14040903, 533191573, 256059452, 272224994, 650044067, 955263900, 463962933, 288567186, 1059290, 362518991, 238664170, 215464522, 578581578, 410088224, 331716891, 598103799, 797007738, 542060965, 890139565, 409733946, 489382288, 888577990, 932370496, 827881207, 914382843, 858649374, 591942253, 333184193, 200447622, 785482464, 293449843, 873016338, 817529732, 876038335, 642151293, 553193932, 733840042, 137977518, 918846105, 521015156, 49644976, 93574011, 561348823, 141279894, 194024133, 584145723, 710897726, 857903368, 870621594, 747637295, 203142752, 306547309, 479038854, 73282208, 524282220, 580600766, 722359618, 204874237, 570956293, 533566142, 142645675, 519885631, 197606526, 814260815, 318093659, 800481754, 440490494, 192718433, 179352440, 344864854, 506132428, 304563239, 438505945, 489082912, 107544023, 478909596, 562705626, 736609117, 216374588, 995382803, 255321652, 132167848, 298973257, 866391899, 540479898, 227036188, 630809582, 817532550, 332810716, 146894316, 507054191, 444362786, 667965827, 923634961, 877880578, 249989192, 14898486, 539826443, 547889572, 806756175, 532262933, 813127498, 720254853, 205195315, 862492372, 810737066, 584878575, 384203520, 119141621, 683663171, 195928392, 453003032, 304067196, 476836096, 848749725, 835881380, 585873030, 727565936, 285477434, 757326406, 568507555, 682082937, 527848281, 213205650, 221152408, 911706457, 70694944, 815684282, 303822894, 198651827, 609528639, 757159847, 119402432, 332766224, 70520799, 183107082, 6015025, 269223199, 975666668, 671034337, 608343774, 7733205, 842929343, 399400795, 347397681, 924393384, 387948451, 343177287, 511796746, 635489005, 478992215, 914824459, 720655351, 463371696, 442116776, 563952720, 349628288, 238306824, 145787247, 397392068, 736871573, 609284354, 261778891, 837621769, 972229118, 316662297, 446242402, 620364484, 285759421, 102391441, 49821084, 529376411, 301346556, 792725271, 752847219, 19606588, 68322406, 926562896, 875313624, 940141258, 805233937, 866335231, 464119828, 774249769, 542626114, 260300869, 160131392, 297259556, 682626302, 380514599, 368496145, 767287077, 51033754, 808085364, 720254435, 585838696, 164936849, 86668194, 539292703, 296739006, 382410329, 666651647, 164146624, 727629670, 371562736, 791755799, 219879086, 944776441, 65733122, 879686581, 783187187, 535438748, 266398843, 346960927, 958854889, 887821383, 48848797, 375664882, 6601841, 264275589, 729837000, 25363950, 3498445, 770362583, 644998548, 375989318, 606002411, 835883550, 201580326, 317441248, 794211481, 7210717, 398879694, 716682770, 368251954, 695270297, 333999755, 141600013, 737554884, 293484900, 837672634, 129245889, 867573931, 580119374, 913999056, 764820265, 336516332, 859998647, 943239384, 96192992, 63360356, 381230045, 588792549, 132859371, 270814525, 512659945, 188237960, 889468382, 655075210, 207168250, 887929270, 609854032, 957974249, 674655543, 87508141, 143729067, 843607804, 174479291, 941145656, 495220403, 329140743, 240060384, 551948939, 61941507, 339744783, 98641702, 588902916, 214292932, 757280471, 556616858, 72817925, 518624794, 775535762, 101996668, 176516478, 971544746, 547494665, 463165568, 321972433, 701479274, 874886829, 555966677, 544814220, 813284662, 588066396, 370057978, 736083696, 667295787, 809087215, 965708412, 730246651, 281855061, 139316966, 299372089, 395904154, 683438244, 694566403, 105505448, 348098169, 397986618, 924094929, 642083120, 73421702, 297964295, 841897137, 478519716, 911628904, 967770471, 28973035, 395502229, 724202687, 905462666, 651720743, 628622317, 122192207, 203924878, 793303119, 810760931, 172610033, 359557007, 617360680, 869123641, 284859831, 144335523, 776337900, 910500686, 401805191, 636162023, 352156631, 855188794, 223033767, 567501411, 229791377, 19511173, 277302825, 233289092, 37791261, 225142993, 874685244, 187126225, 285846969, 885664904, 902428605, 266335161, 838086798, 262776164, 238701940, 288447789, 458647171, 481152043, 961482773, 928311384, 580161094, 869304570, 300777512, 556127642, 473857967, 930483027, 970645309, 707434368, 170131100, 549346706, 272578009, 509565345, 613173892, 751359362, 725817754, 659510236, 864752856, 746221644, 421993953, 190999588, 188287770, 142430024, 351920374, 863812543, 400969501, 246038929, 962933934, 53744872, 121665871, 79737161, 136023059, 626507177, 90281498, 688596628, 58943141, 755285157, 293290127, 292342583, 883364655, 850394396, 491632557, 899684436, 395748263, 790468351, 414579929, 856719364, 882938687, 794211192, 206940108, 776736, 436575138, 484895259, 773283766, 8809984, 216748895, 295492106, 14140123, 373993964, 561753250, 171520731, 755408422, 203087322, 79068990, 779361578, 701978894, 555537656, 54771459, 757119820, 88715750, 770162915, 810108319, 342135890, 255582108, 184074599, 496315337, 104908941, 261996669, 385084151, 23601665, 323424138, 523690595, 108513093, 916676162, 564261066, 538450577, 451984897, 642241231, 504349044, 496645380, 716090839, 588371860, 647878070, 563635501, 807122538, 981303916, 398496651, 126180417, 275298989, 266693423, 56712929, 789285936, 376628847, 350133807, 942731597, 497500127, 99103108, 727154939, 170009926, 788945464, 60662061, 820865279, 464411818, 341126122, 483255514, 766219160, 180027434, 438228633, 10098450, 942084823, 175765207, 844732696, 632544411, 903236096, 353992117, 528050515, 579129079, 370208810, 753424167, 39569493, 555857383, 259808505, 715905470, 298445642, 909354154, 266350409, 520368776, 915685683, 458575255, 800979378, 75292975, 641367096, 834155316, 816108094, 654351668, 235559309, 635033025, 312306814, 175956998, 796688802, 630046553, 798923836, 433801005, 464146382, 160117272, 182340545, 566891216, 308334382, 26295098, 581610815, 942746090, 342711479, 572575106, 653104220, 359339345, 845599134, 342903346, 865015279, 436986773, 686093031, 618478741, 191845648, 650935906, 268928361, 594754478, 360666637, 706535463, 813415878, 156192596, 565892602, 848411844, 783422241, 105077991, 156041502, 636858751, 636331427, 700346479, 248281495, 385890794, 33781830, 588304430, 925195974, 815650634, 506272131, 92660242, 380973580, 790562096, 920622579, 849722836, 132468869, 92935171, 163324983, 701790704, 689308168, 605351924, 193882497, 367335732, 864985638, 233641662, 524703629, 246369392, 457228461, 881721385, 444014121, 925581040, 457923535, 995187887, 737543077, 843686909, 216597861, 138643448, 565917668, 969636024, 842805996, 840971129, 828288937, 761149897, 348271281, 695879940, 667216424, 903078258, 397525531, 934141886, 993730584, 4735899, 494938308, 800083351, 765941201, 637401606, 900966734, 259622531, 509520865, 266745640, 372963788, 82126517, 952387819, 500370389, 268041591, 547069513, 104089501, 616935628, 403831475, 629897579, 884044426, 746762132, 556187222, 107407339, 294866649, 896349578, 710370968, 760426145, 58412972, 251911809, 76989223, 756885335, 685195342, 477546730, 50980413, 686045585, 840529210, 46135819, 332345562, 377098078, 745226509, 5322720, 50705096, 690854733, 570300016, 151279462, 732648774, 580042267, 695880737, 686789789, 586312017, 955153493, 627818876, 531479331, 226568966, 759247414, 133215932, 66225957, 334332781, 531015000, 807190510, 950382481, 757014042, 553926409, 218062721, 644950002, 336314663, 577558395, 883442078, 889175168, 807044813, 506442050, 464418522, 327653887, 213474144, 326829266, 836547073, 295916132, 853832486, 315986389, 218437138, 542721607, 476637614, 506837195, 502480932, 576360738, 912684430, 574035845, 187837674, 18796986, 521066136, 626115837, 267716830, 365875508, 946134001, 327778673, 42723681, 610404364, 589200680, 13113228, 248531608, 904965550, 926571901, 157924153, 852625222, 253068432, 942970458, 770971644, 841600990, 913283778, 431835096, 127701545, 478115772, 774894189, 43908397, 617756480, 274266143, 777205639, 48436117, 307443798, 306538936, 510728881, 317678196, 795395664, 621593057, 688247337, 976029814, 327993277, 948440397, 480378356, 966690718, 665809615, 100432262, 976857390, 886332098, 873476823, 564751098, 922164883, 89557981, 714268503, 579357314, 719971399, 623545657, 201893267, 133982505, 958366251, 188136455, 111128181, 331798975, 691408490, 28831126, 6775001, 389199668, 146065215, 388435881, 170763116, 942650367, 784902834, 859018783, 40091388, 408170389, 537755027, 91705508, 897836136, 804538818, 751857422, 150722947, 252292879, 906764829, 876861903, 572827041, 774231497, 966883782, 600669538, 60727346, 594849838, 137369791, 60151235, 279548987, 740482972, 365022610, 437421257, 472472776, 325693648, 462659347, 901939347, 329549203, 690609580, 432205164, 9157621, 742222914, 867716465, 391176607, 142824827, 919797755, 29422219, 858212791, 113243081, 515206347, 123352417, 124310355, 581902871, 692955514, 193179223, 120947612, 780667084, 195845686, 282668929, 773399011, 902370267, 72743490, 447927540, 539970413, 202279126, 618179301, 757727971, 805236810, 587926366, 913086970, 719864351, 253084109, 21846546, 148016384, 177864964, 813811611, 177037415, 778026288, 905864225, 879014793, 319163686, 685948883, 816665283, 339084004, 899249783, 819146688, 527436856, 513870628, 788931159, 568653060, 34991929, 996765027, 920518752, 806700487, 959821437, 267997479, 181919380, 139427519, 322837696, 971247558, 898793783, 141034000, 47064671, 651861915, 35086504, 166109558, 528392704, 149618522, 262414755, 614472139, 486647147, 494254189, 245691628, 225397917, 771234796, 493281498, 429754018, 369102842, 284504182, 14066854, 922998025, 387087423, 401124734, 813784588, 523552982, 888063375, 2780235, 60383251, 184399857, 908693674, 629022306, 809614407, 909270088, 251625985, 430745056, 720630766, 246860881, 198878428, 757951061, 733440638, 736131215, 699313932, 337243294, 570704448, 364204858, 456525009, 954981464, 404334987, 705495032, 686919890, 216412449, 390528199, 383451243, 132400905, 261934898, 341733037, 985840218, 974034486, 114271227, 857894643, 534596624, 931659514, 595085799, 32830291, 39647797, 654163924, 528855273, 4163342, 290230882, 408652105, 536093775, 667250961, 389917672, 629092315, 999450648, 971476784, 480046574, 862846223, 520726960, 711900, 551892082, 927149816, 445714364, 920633995, 916583065, 768716360, 496190617, 891421291, 76197819, 714388753, 638722831, 933063722, 695983506, 213229474, 343888563, 302442438, 544403001, 131198613, 745325242, 100701469, 591768667, 400415060, 507407809, 865193032, 116359748, 899145702, 944023234, 207155618, 799655861, 345263167, 418005088, 411897764, 672510429, 22600415, 118787049, 998737128, 234312040, 781997429, 769722754, 831316579, 712871081, 733698423, 598778664, 220907032, 271960907, 957611509, 208440159, 861577264, 967238881, 411625980, 586601042, 31719116, 272335531, 600581978, 470750673, 987950526, 261726094, 467273992, 901983038, 538611613, 225652353, 793254257, 204180096, 378716572, 664448740, 693881871, 839899577, 764475526, 266600222, 929501041, 507376520, 250116696, 224669799, 457017903, 133196122, 924703312, 26239488, 405843737, 661202830, 220200731, 299764280, 639979754, 679137159, 485513356, 63525400, 660861265, 723051326, 194234073, 6189175, 4940641, 904873142, 493982596, 411368875, 745562888, 331404346, 509906787, 954521422, 32640292, 404850513, 701854898, 291710210, 690721043, 760483851, 637314822, 525861163, 593861334, 731510714, 111100769, 148725503, 951950588, 268641578, 655813636, 286432518, 728031645, 653033289, 154437464, 678105744, 990468424, 978122233, 925627685, 720559438, 802092890, 776725803, 973222759, 179535230, 433444836, 621585749, 683431896, 891600330, 153075488, 716239588, 363697568, 549660085, 734964305, 669861153, 337284999, 93266559, 279733320, 980731461, 809775392, 683093364, 113578100, 364170401, 826625648, 616117392, 601229389, 844131111, 996589078, 72602323, 871903812, 682176966, 571741668, 777999223, 244639293, 999577531, 704164217, 850885214, 561120263, 150580631, 110025599, 474258865, 479464651, 665203750, 983236011, 466079958, 460144500, 389127370, 746427865, 81175346, 141635259, 772278259, 522949561, 999375162, 440820155, 716541506, 693346353, 640408470, 630615834, 163022026, 393668813, 616828456, 229131703, 2412587, 12294336, 513863155, 140876111, 431352122, 34883960, 448972095, 140755480, 939015544, 734235693, 551521290, 396033048, 4149768, 727955208, 414964435, 947438184, 876884060, 326702095, 626269364, 527686663, 405861532, 657023516, 728828355, 258733585, 876808207, 243000351, 866023334, 412330504, 530377894, 785068463, 355837179, 653576374, 222767463, 570908155, 640734930, 949208833, 38831890, 731920276, 848804754, 695126396, 455630591, 498936699, 519308347, 82109727, 238067085, 218182478, 139574790, 180429266, 522210421, 77527403, 613613492, 590838697, 11926175, 502335492, 308404094, 616437276, 761371914, 184977032, 782059846, 280001309, 11927892, 524208726, 686121466, 858651710, 547028887, 624696561, 774823572, 472480839, 124316134, 326106526, 210819929, 644884489, 1343671, 245403188, 334936991, 262543185, 321538591, 716393651, 917848660, 764160243, 169767408, 609768419, 900707996, 998511126, 983039154, 450174782, 55504538, 547114589, 537939590, 103579505, 89764400, 499060390, 637576283, 922462861, 623051201, 270377986, 890402635, 262701236, 467001171, 159044112, 709162711, 815222942, 151003562, 818775764, 488131936, 848624275, 71450854, 745112634, 262682477, 37924678, 534928391, 665564801, 102683437, 846203906, 291332406, 68849837, 415595672, 553769204, 845982950, 21588256, 813561246, 240195245, 989724376, 535437375, 600102086, 451751172, 674976834, 313770734, 822853548, 600821898, 650905106, 641246955, 218427387, 224391087, 754727151, 681521127, 667766811, 244880664, 362950515, 733244051, 343444408, 967469830, 149423327, 719201383, 182089659, 986203540, 29011796, 870498989, 171732664, 514743605, 375666054, 333608574, 138562039, 862404750, 719025887, 56009660, 682539953, 746036723, 785011749, 665312701, 102991323, 109988203, 433332181, 449569210, 543381559, 78360608, 229422931, 316273687, 653128913, 291118305, 367033528, 354710556, 500897961, 219233984, 226576592, 838930779, 417459117, 292845441, 84602220, 675175188, 945473021, 517845033, 648078998, 160207906, 648649914, 375160597, 606199996, 471183966, 954393555, 689794053, 431031433, 150102334, 916610517, 905777587, 360890199, 850899138, 240630736, 443669701, 48433269, 824372388, 425664823, 285703100, 305334223, 361709041, 717817130, 179000360, 22945206, 346908812, 649624837, 20170505, 712450518, 363814046, 923670183, 638830024, 61696735, 535131671, 642997116, 149404229, 404135851, 825685775, 941723964, 489770264, 491059513, 225953857, 560213359, 37381747, 478195287, 62289684, 43088982, 511633201, 13573168, 590983808, 861413758, 212187091, 28766105, 88573500, 542767436, 814761843, 106149206, 109265322, 168139134, 39588156, 888956027, 963977908, 876801940, 808538325, 796205940, 98901023, 553111699, 251371369, 925993364, 275332774, 353717302, 929306911, 149942386, 458059983, 958895709, 296560809, 978477384, 300483889, 37755941, 752542151, 217790131, 498041350, 937603851, 145536104, 418403807, 523162280, 79565821, 185879672, 278844397, 285640054, 804754853, 112479171, 2861596, 462200381, 636694272, 513904413, 157177342, 836280404, 184367370, 39289255, 403856351, 610344408, 833280427, 181347066, 335687503, 462679806, 676084168, 62480982, 318662902, 201889070, 116884043, 680246875, 553070118, 671074635, 267975454, 957648018, 421946304, 857712873, 273649091, 529741171, 415926534, 528974234, 802612655, 399987876, 846844985, 309698160, 775507669, 903684035, 165577354, 839728227, 23314109, 580507739, 518326716, 339349883, 322917474, 403780146, 101248936, 183351208, 485183992, 899287009, 230216388, 476153534, 476180881, 126872321, 461482354, 209826151, 202199348, 861283539, 443326814, 140107613, 865756176, 766226341, 424330470, 717028809, 498299923, 608087393, 780066013, 998012147, 277589888, 636892530, 915263301, 960275975, 742789189, 869125153, 828401347, 67305991, 401508942, 266211210, 391178858, 999604450, 99821455, 669502030, 671713539, 43271555, 258296097, 246353842, 430770486, 60303, 223469743, 159450586, 27998647, 338201520, 795043157, 247235419, 268633373, 612391187, 181564339, 52570901, 236386178, 863242103, 7678825, 473458473, 318010217, 906646618, 879691340, 966178235, 75780991, 370824841, 116624861, 576549259, 944040769, 986195432, 824554420, 679196196, 799126052, 587662237, 561795735, 42355331, 108984884, 407828316, 465197912, 966481559, 893227525, 6795154, 746807368, 956601637, 842362556, 788793565, 825282315, 294503251, 66141413, 501306726, 554349921, 378508021, 67255273, 409932925, 132510741, 839067377, 544698248, 425052546, 454631494, 253882207, 282033677, 473613276, 409123796, 212259467, 219507552, 432051513, 134552237, 782589502, 104587457, 805099852, 621686092, 307677090, 149127423, 738555759, 37091998, 326275650, 383234334, 806427721, 751437504, 438843618, 520928746, 911631242, 202301160, 861926799, 326322946, 499263980, 828409281, 599841411, 867420740, 925785656, 28711916, 906146755, 649130256, 874456776, 617574247, 516321250, 971095261, 103859731, 197436243, 690601790, 777983924, 831308642, 499837113, 342843208, 866153407, 32770461, 215641641, 71436856, 581312876, 146890445, 383187688, 273693177, 724837601, 551716450, 494345814, 39520618, 680201151, 762771021, 956022376, 929320618, 509370460, 498283605, 160713860, 191768148, 586313956, 654163874, 79916786, 772788632, 422138495, 907028585, 733815728, 920722380, 914763921, 868362416, 148485132, 903114571, 798150975, 67457889, 646387851, 99708242, 632239330, 278591696, 179592392, 184729438, 287806359, 407219041, 784718253, 69721491, 930354925, 895201432, 687908854, 836338718, 589228052, 300509746, 494516678, 206697133, 378463131, 490352449, 693472309, 409918506, 220644021, 828277036, 173914740, 204896122, 606243202, 40301597, 153552096, 974330964, 660023490, 716079297, 815684250, 103558465, 982664142, 258809696, 152641969, 202591601, 163899103, 994906817, 585093459, 683591612, 201003775, 497576039, 262522396, 37828791, 277369834, 900994408, 506017878, 844237799, 723699604, 233804001, 899089482, 466561118, 528040275, 288406710, 836203606, 785980489, 628655494, 43261734, 207115046, 696365649, 705056529, 683643403, 641462721, 371512969, 834555095, 201393204, 879007237, 618142198, 549712120, 458219540, 717288811, 34860271, 822273050, 227705657, 525039836, 859952718, 254644020, 947105971, 142810503, 446633396, 780695772, 731581263, 623257091, 312551899, 233721043, 93523055, 437469135, 378941459, 160391489, 196704840, 77006501, 709463535, 419702806, 437283271, 295170512, 614120860, 936408982, 347034594, 93382315, 695423766, 270139380, 252725, 803344799, 85225899, 427296361, 555323618, 233133837, 918619780, 797357979, 352315640, 403758121, 699335142, 233637578, 344511428, 950881430, 758192197, 789669696, 205468194, 285105309, 197163772, 312368791, 621913299, 697228543, 875245373, 433117553, 284384640, 470179353, 8444376, 208744058, 372707189, 156194697, 406743001, 434400566, 364687364, 594968395, 695397211, 55948840, 683344559, 979069432, 534293505, 309084727, 187051626, 816628362, 978579426, 265658374, 600880858, 296245550, 542424593, 110739241, 10276331, 91621325, 388370316, 492914032, 276802354, 604366877, 623452743, 806858505, 449146410, 313894710, 886503824, 573383623, 855827797, 193668767, 386068605, 876146368, 675023967, 15696195, 24256176, 660023795, 30181978, 17584916, 691445663, 874281186, 767821870, 569342509, 935431676, 150373153, 563667042, 638663738, 902389347, 952013547, 898338050, 764972961, 260241056, 258424481, 174044528, 454714853, 142911426, 189317039, 486892826, 451274134, 967532401, 469461175, 226186167, 873568232, 24899818, 965102317, 642284849, 515462306, 508830842, 560504650, 758749914, 526600173, 413889574, 679064381, 219209453, 796923916, 111804355, 282087985, 236881997, 800834230, 525042374, 228058331, 893366181, 371136683, 909719192, 641056845, 97410286, 302853331, 810993527, 763514029, 306961333, 699679877, 257896013, 806565650, 537709563, 876754489, 748334113, 81995219, 157881863, 140842264, 670282077, 547985458, 64513214, 405928609, 994525577, 376947787, 304233154, 915511490, 863968649, 873667084, 122461715, 797712349, 375774139, 897830234, 971416937, 186664125, 107717316, 887630980, 378935547, 552317867, 823875799, 271799030, 549100442, 750932927, 181122136, 683205237, 953835599, 799411681, 161647711, 518973034, 458722690, 29111485, 726813390, 711840987, 758857822, 573611555, 90038192, 345107778, 299452619, 194944513, 4666924, 782941744, 54925165, 305996020, 469147598, 887746949, 348483533, 985127971, 508548865, 151477073, 868536934, 80821492, 933206658, 179469716, 425829410, 893897979, 34667461, 720672741, 160143784, 319860638, 198799829, 785290106, 145639426, 764012831, 540715677, 410956625, 391885080, 466611052, 874019715, 484318287, 50294484, 997290875, 399313346, 852020155, 105152784, 204170844, 219260526, 158512409, 707395269, 153696777, 287569801, 620145605, 482753765, 266302509, 215680523, 199117104, 743997999, 899779784, 950991754, 622097178, 420341233, 463516342, 501647306, 745975833, 113018382, 960022410, 291602574, 263962459, 188116449, 954094284, 382849089, 46590717, 348069866, 485389647, 508458554, 89525595, 233652481, 696516926, 24321184, 163872200, 735951302, 300226949, 248741928, 632317909, 136282234, 143719374, 975195597, 55208784, 564752192, 981124424, 223828321, 538830707, 711313649, 66974071, 437098027, 336175281, 590238409, 167356767, 526276073, 514768947, 868519304, 221412521, 816670724, 18801863, 379524911, 883331803, 242017101, 893190695, 82237653, 934864756, 852672273, 416459172, 246374481, 741868360, 280981989, 43715295, 405549333, 415067929, 820035538, 544928107, 866603690, 503156359, 547226788, 97248285, 22159204, 959837922, 403646071, 488036984, 345874502, 653887929, 189576369, 233490135, 478231519, 508179005, 25340513, 26478687, 810417562, 730620894, 607298558, 560947072, 235915960, 398674805, 565106168, 662628926, 312399783, 754856819, 585232429, 597194457, 305675515, 74459999, 377900109, 522643437, 228637621, 861375469, 336670545, 448349245, 829531542, 13531289, 358909926, 11563703, 538337238, 929960995, 192173963, 939460069, 8389419, 890620625, 531532432, 258499297, 694712933, 264653999, 386159160, 448095995, 67838328, 981277457, 348170804, 515999819, 262238375, 381082040, 572959823, 294562831, 87770856, 271361957, 591427066, 563210504, 70251544, 318825048, 530836914, 574371096, 396777387, 320126943, 497018950, 598846491, 438541602, 756191772, 853387698, 411348887, 908007414, 671603185, 269756636, 697390505, 369766151, 756858016, 956197792, 561950482, 404392790, 716221604, 43246742, 624350133, 526883941, 818821270, 365755519, 258826429, 898101016, 664534882, 259303149, 368628354, 37404244, 848104107, 745110804, 381716125, 339951589, 586708010, 454065748, 71316035, 515206090, 237836906, 968014943, 565825718, 890667493, 31226507, 508594272, 50955851, 503890031, 564294466, 197712730, 274175372, 593339530, 305436426, 51776934, 417045366, 690567719, 722347073, 121887735, 636846, 512102589, 718907937, 160650633, 414966735, 574292294, 260747385, 191997848, 470374250, 946488980, 641494831, 56205254, 932319973, 887660777, 958753808, 442171022, 589483473, 725592812, 244616412, 117573291, 647070249, 565860621, 858831203, 553639809, 56040835, 118411056, 164407534, 322194030, 419610972, 666942108, 25802237, 221901613, 39840244, 786745379, 676336474, 939300035, 334930840, 121542381, 690663717, 191409310, 283016110, 795501849, 282921733, 362047173, 377572928, 378480347, 316194427, 633424204, 249498490, 249628144, 895488240, 141289038, 272388798, 39463673, 45049505, 376528305, 210179894, 4017612, 765645235, 204981814, 135735651, 571614673, 113738763, 990547483, 157829164, 118386828, 341141042, 354510356, 394922004, 449842189, 871555953, 699194617, 670042312, 447279936, 582317882, 1940768, 98273502, 776115414, 78997919, 190916599, 802764879, 553454346, 103954446, 835339133, 878234966, 854172638, 310481275, 566555306, 4827650, 254452092, 829095682, 858395929, 998156182, 414121733, 576247307, 981597730, 865373827, 490714776, 496762144, 491743134, 177607724, 630245385, 893315060, 732826454, 488915486, 533315707, 135071200, 136067571, 919534489, 542487929, 706386933, 590939102, 237893857, 132938132, 107694361, 328898991, 121484995, 277681880, 107860831, 336585002, 586712386, 273320974, 162940780, 159093931, 210861603, 390443515, 174031772, 947755415, 528380380, 600438489, 470851073, 22642529, 584317181, 77828744, 992573789, 501604831, 626911249, 794697508, 525999330, 422097790, 7017574, 449625986, 100410684, 416624579, 545678797, 1265032, 903335123, 249187808, 68331025, 385538065, 831521089, 93135389, 687373064, 806324465, 890752633, 63069127, 999375199, 222994774, 703575047, 866218339, 511820586, 183420397, 158491556, 272519360, 224179399, 537460989, 159633697, 747610142, 392291181, 499851857, 800942699, 94209326, 538402059, 86791634, 199726542, 496071039, 952316915, 911925699, 180388437, 561989133, 389876895, 754982287, 554988352, 561502683, 404442959, 185498990, 902861475, 235682024, 875047597, 353320622, 276889634, 753322412, 686129529, 817945105, 428840147, 469791041, 71218325, 329787101, 875838129, 824133780, 831832514, 379067057, 526981431, 226292434, 809213613, 222768309, 431381502, 400524577, 202870433, 845394727, 259955145, 187763726, 465121830, 346314649, 320618507, 665618727, 599905082, 754461801, 405389186, 857018504, 889477477, 651978919, 209143232, 569193395, 98921660, 361997820, 616528367, 855802305, 153283187, 237567371, 751406283, 593844100, 345130588, 599285003, 129063650, 113855211, 72587103, 590815347, 640765707, 421089207, 164922934, 385109240, 287810894, 168528536, 404808336, 486590084, 696469943, 608464094, 74467210, 838232319, 539089408, 396068999, 915599626, 362636577, 841602591, 580097173, 280703823, 278101088, 404871083, 914361822, 137309648, 268742932, 884288832, 43911715, 789872596, 892665295, 250479643, 577329952, 576315413, 506158942, 108852218, 504392083, 405531695, 534883148, 392198980, 882945432, 509397114, 471617656, 790704890, 411370532, 114382991, 372416505, 368471305, 226578505, 27875610, 53774096, 494946819, 50415946, 75099234, 269109491, 846265466, 861701084, 116827553, 346374561, 361055818, 895645402, 934792876, 850250270, 694812370, 787423986, 433399809, 245666961, 766188603, 23049881, 955543901, 905728306, 462235474, 82672144, 480670745, 741215897, 199563051, 385482569, 298635756, 851373061, 829327678, 189727707, 128912617, 963425809, 110802210, 990682153, 474363121, 871990026, 340329925, 482431799, 399925325, 255205448, 342079157, 715711859, 39847254, 904088100, 982786021, 478186541, 587438430, 330764922, 505339093, 860935445, 135183198, 769135979, 290394826, 389008135, 43429799, 982628510, 318762927, 500314578, 937054149, 487902775, 121372993, 13709225, 392449771, 162464475, 566184074, 531267749, 301477215, 624785468, 389341419, 385435134, 227322135, 801781926, 188104232, 283196615, 160365113, 581056190, 317857363, 865785190, 937913028, 126940639, 560715083, 826826858, 696527655, 228660818, 341330262, 490264674, 99035217, 956769417, 43415017, 626974220, 484739338, 398044696, 629066880, 511035683, 917652682, 816666236, 738289452, 562023190, 763721953, 811347185, 872413421, 298962947, 683302008, 806492002, 311288274, 758878112, 781642740, 546929653, 86838099, 347954160, 410800277, 708019071, 428796195, 240381087, 111249697, 470521723, 878004287, 749893101, 926115153, 766918872, 313384902, 282514125, 693559512, 410619175, 550574002, 407264197, 842111779, 659304626, 408802622, 365498663, 789707351, 889638136, 334285344, 494976651, 968668286, 954846953, 368720128, 760936126, 831181971, 552170313, 412087386, 572626412, 143030824, 786996318, 749700913, 762341634, 114337125, 628008929, 929185922, 934028724, 491686710, 771401120, 325826225, 202348777, 615107456, 273284693, 600543652, 50752360, 126805969, 614737460, 636765451, 647109158, 94437640, 788397681, 284207207, 382573419, 929742652, 175298806, 716723880, 108141843, 166305017, 616313653, 74722255, 555618663, 518007720, 586481551, 651507213, 488005339, 620294443, 717100095, 9717322, 357740149, 671767197, 910916252, 424069911, 599048828, 869717096, 529228725, 469225815, 515460374, 594338267, 520333183, 541090644, 912264580, 904337760, 231987686, 862786820, 802363828, 537763354, 858161862, 792479596, 852123267, 859618453, 578460562, 215256569, 985573552, 967853472, 646617428, 91309097, 862662274, 110458276, 662116844, 693710585, 168520340, 432655071, 932398443, 976468558, 68592319, 721838937, 730171891, 248385497, 708534510, 163710167, 292095449, 650717376, 384781381, 743704575, 967799158, 323357458, 682193918, 274946255, 995632778, 269137745, 690331831, 359002061, 938163282, 700167185, 441672117, 106606811, 599862772, 634798515, 994372954, 663848195, 594144281, 927632734, 551702665, 329759823, 490147282, 859850790, 760227946, 453739783, 543959965, 579362595, 823994490, 722053778, 677036864, 449909459, 495166545, 730780537, 155549731, 335369447, 570066131, 704098367, 285469967, 987132026, 559732429, 540410959, 159228312, 565909814, 895746125, 770040567, 197382773, 78676379, 953438936, 603004260, 500936672, 218021666, 108803126, 962280751, 493199984, 275799633, 655325422, 117544957, 67882297, 832840614, 895904863, 161439503, 193914677, 999811802, 271184450, 223965536, 321557566, 604804816, 464713825, 416286916, 717398357, 708059032, 592207029, 140214521, 941799187, 319151700, 15291444, 847182472, 417155278, 863201543, 587064960, 238506183, 836526635, 249795870, 81061827, 272359471, 545600756, 371697085, 763755565, 232618784, 426640390, 402728803, 226944363, 70831802, 82494286, 47171629, 763751272, 877549282, 305117867, 138828288, 755795023, 289702146, 678986457, 871810178, 67193163, 120052191, 954786038, 747466406, 370056051, 316177627, 678620700, 479497118, 251778792, 151857509, 7077282, 804770544, 12116986, 303816762, 783125253, 350517603, 46967405, 724105147, 547380804, 666863832, 807569095, 40346021, 800106796, 661559140, 665173898, 280463093, 31074576, 322138290, 599321817, 725887140, 243145555, 760727039, 915643557, 747028016, 361042556, 894809813, 577086541, 989451413, 84956926, 38888761, 665232001, 904241394, 931570960, 258546120, 53961456, 635979889, 345007332, 797931551, 918889723, 728512363, 27100800, 303917354, 62805133, 654051042, 655533258, 645278238, 724238932, 589514164, 805328818, 158784661, 125486099, 219091020, 304643090, 420468971, 757453148, 560259634, 727239974, 903087849, 699986947, 675949719, 935997518, 582924635, 336469611, 614097112, 942252990, 199221366, 831072648, 587643128, 385735445, 168142593, 556922810, 417405662, 329065738, 163026156, 840396234, 607539188, 374843690, 669697568, 316305352, 605653073, 472444499, 799289649, 5532541, 650266281, 908555849, 933138546, 860990846, 623466296, 109796920, 584498060, 350025516, 838413983, 56579103, 434796545, 696928870, 174463777, 102883399, 641519407, 344379012, 227243608, 885650530, 984889845, 872409764, 122494110, 181658728, 589283123, 35057101, 47380874, 721999086, 457605499, 124243585, 41419963, 59663770, 874399262, 367747447, 928452355, 842944276, 508718153, 121126902, 46827602, 515091845, 221428344, 481888470, 567414921, 473194436, 209389437, 228873364, 321061797, 841760778, 985486962, 405734041, 315771199, 451485835, 314407439, 379378607, 389414735, 287736463, 449313374, 140468628, 388856224, 956381493, 718303417, 58484561, 602398830, 664838024, 686643003, 613603750, 416297718, 281437202, 283723289, 993700708, 446290658, 177070294, 465380303, 20893500, 263180947, 586100343, 641350356, 568064335, 430067240, 814200544, 3567442, 678205760, 963812405, 5454662, 882118012, 989033018, 232020473, 802258265, 616794291, 75840527, 446564186, 60370171, 377084395, 45837857, 254027712, 863258937, 633787774, 843307359, 901566376, 458479242, 908727799, 111114474, 79109951, 937722111, 489669138, 457376752, 355603028, 739521490, 458955330, 810060311, 257754372, 283208811, 932651230, 969919994, 659432050, 227733030, 374222468, 460275823, 969601145, 462016313, 503905488, 206081523, 783051750, 972220761, 384399402, 709208064, 882127022, 539417312, 660275008, 843606073, 753053480, 613537001, 635216179, 160997453, 131114301, 471532844, 20051654, 632054216, 119474483, 739361674, 387434727, 388506446, 720667059, 542357321, 30562057, 254434164, 507337002, 293416315, 113940441, 333855272, 838517635, 236620935, 986007058, 438968291, 537442288, 639470852, 871837629, 316479540, 46933564, 35774178, 129419506, 201279556, 821381798, 778839415, 886105382, 344307782, 873550367, 588711921, 776177207, 573848830, 282660687, 580938295, 581281942, 667751962, 690934143, 346412941, 101867075, 372732157, 699646389, 323269763, 314915448, 466933915, 284770712, 671865971, 955139052, 760113685, 884388647, 100895882, 915695156, 468675065, 540590271, 290183982, 815685406, 160613378, 355143423, 313432517, 857543316, 462823962, 734821719, 497243277, 29162460, 825376784, 782906448, 406882721, 908727777, 407875032, 60288004, 232623240, 734861264, 663842988, 470879842, 507767374, 775478191, 75193663, 155859958, 915445869, 707415831, 261309633, 622736095, 893809054, 576939527, 351804799, 648225574, 501509789, 815979444, 766622992, 153700874, 395358500, 713865332, 581210797, 481445631, 549835015, 301304300, 291888950, 747924108, 410371589, 985582887, 571929626, 551675702, 956029061, 82402804, 104893878, 66460170, 145996633, 653756537, 76854097, 522675148, 857601709, 315350935, 609872790, 743056100, 10290668, 850978662, 646002570, 942132543, 457137174, 953034925, 626565588, 956796768, 168671130, 618518818, 482762276, 756169102, 773830852, 564770931, 156236886, 913541838, 198264906, 261270788, 700151910, 982850738, 807514705, 642484888, 268814421, 973890390, 332393578, 256226335, 548032193, 746276232, 14965220, 449203065, 475591467, 450927734, 402836993, 966379948, 487886229, 565109301, 109377857, 330244610, 483285356, 675611747, 149415529, 587796778, 558422809, 460546550, 482836461, 692763117, 368508689, 388202470, 60954542, 808758825, 562888743, 572765398, 733029857, 861904455, 239842326, 667100302, 193139094, 842664278, 496588707, 442737485, 865708308, 240037998, 339091539, 644030248, 217276417, 547790371, 777551319, 871591325, 699568382, 256522539, 363115456, 578090236, 20691150, 54493771, 509875932, 832788116, 83775256, 95923646, 581934307, 137616677, 231504737, 957746752, 29436027, 59584405, 451413067, 54874763, 816668805, 671229567, 930790237, 159583389, 251518215, 25264721, 196288042, 852221960, 119796398, 784199117, 157766725, 376689328, 63975925, 653565846, 275071181, 320602829, 724419619, 242348220, 942058090, 234941555, 699563922, 722092216, 389102861, 996276086, 651949173, 939328987, 266073259, 929687564, 337930201, 321325573, 559323711, 686055839, 768403546, 743141393, 453550650, 394859039, 379778228, 738944807, 748783687, 980799175, 652027468, 659289120, 137657, 216327066, 64573497, 480953810, 24610623, 75075422, 423231718, 429223716, 102480287, 623920276, 50111737, 188594822, 60370349, 278101133, 263020853, 305671423, 470437590, 862999123, 208103445, 810865801, 708568586, 191082083, 391324720, 478227104, 723267228, 684975202, 125713971, 904206207, 192777025, 966349701, 72157773, 660603727, 777805510, 408625874, 663706244, 817508868, 34901011, 398931444, 218679528, 658381318, 366280942, 858991986, 936707950, 558481535, 985562464, 549532782, 385267796, 293846877, 457953406, 938874690, 437185270, 797469272, 887022183, 252894543, 88926513, 170406627, 735104856, 512459895, 208178933, 871797316, 473165858, 301399145, 209816870, 598145315, 309718012, 796305091, 498066683, 17825754, 550528081, 621451166, 649476299, 355783481, 741641622, 759341721, 433099985, 501565184, 88932769, 649961467, 974813613, 675047827, 116031492, 32019323, 767376963, 86999109, 19121768, 474828967, 358541041, 943322613, 982108093, 708909189, 835302523, 726689511, 999142504, 534362710, 316045480, 34619127, 575619520, 76263275, 969949501, 114708174, 540281884, 622786878, 957492434, 350849804, 179298647, 313241771, 162586442, 142158064, 514242080, 868230450, 820659724, 857540468, 785191701, 362891153, 486150784, 777170000, 492026078, 798039520, 185769037, 753102021, 853606422, 427625100, 639257235, 535604816, 995321504, 262393481, 815388674, 422697295, 48147555, 676761599, 154286519, 48577932, 815833710, 884125321, 632970074, 894235738, 362576464, 159328838, 35430185, 729499639, 436266769, 776649271, 120118498, 570513597, 701421691, 115980820, 71416763, 579528587, 987804530, 484822013, 243444711, 880587221, 922859164, 884909783, 851959317, 29399536, 369343603, 505732731, 916593763, 510131119, 540801054, 653184030, 187753011, 928711041, 709847553, 506088485, 782679315, 522839078, 418168965, 709002609, 90270500, 248660466, 560190737, 32571711, 230044390, 932438923, 976817630, 939838531, 544197230, 775711724, 333606106, 671129638, 597233748, 883892508, 669845183, 261336736, 922978719, 795998337, 50608423, 246799393, 624467322, 59178255, 24046132, 703440979, 712409682, 85546089, 852088556, 42170354, 948651642, 984162856, 237823862, 421154555, 199897334, 558134773, 607149313, 638523761, 833666516, 991948550, 249494963, 757449586, 442347429, 76119307, 390260552, 884504379, 392681516, 166416488, 649194582, 218541808, 271187088, 383291635, 796279794, 274196696, 684405333, 548472713, 906051184, 751054300, 485586257, 144386271, 888344929, 74748512, 447809936, 583446762, 19581893, 894152515, 390460861, 488528169, 652798618, 14444536, 175632075, 987455175, 295097537, 973540034, 460323872, 105249470, 649043995, 776676652, 282150216, 714310662, 718779979, 398223952, 299198175, 328991635, 36393279, 340221541, 827920729, 457381378, 684680628, 929119244, 22354383, 789137600, 650408687, 444549636, 553665248, 582612189, 555590739, 212253201, 965989973, 594239168, 253608745, 995768864, 457435154, 543035078, 2248885, 654759280, 834849662, 309274846, 530083128, 366691311, 660961255, 58619697, 728295044, 587707606, 102357175, 310094318, 288080786, 321338701, 1182051, 220156242, 328295173, 592034956, 901287287, 747865792, 188106321, 589912844, 852171067, 740059286, 357949380, 384644691, 588978300, 523094135, 217788490, 89494962, 180234948, 736656731, 318943299, 160499898, 291398476, 922693216, 777437558, 624086432, 148456182, 830642854, 251624795, 423970932, 202949644, 491732252, 565132469, 456316311, 27294474, 10035858, 53525883, 451859416, 643412752, 733328874, 969411146, 822300500, 762025683, 207013906, 770417506, 488161061, 463677463, 322997933, 315725620, 319380490, 85540312, 434546554, 387080446, 197991575, 300705099, 419718760, 40408396, 478262670, 871427645, 310941319, 648344704, 891769098, 237210541, 144998535, 650827289, 24862955, 856412834, 484581405, 770849262, 607348091, 844430826, 115986906, 425338034, 674728775, 778769777, 991953447, 783732657, 982255925, 836946564, 681235788, 798397769, 363445362, 925820880, 894609452, 131751947, 918886485, 167128016, 776091654, 902179214, 670994100, 889968414, 970130491, 862844392, 934921294, 290641727, 263990486, 2864898, 149750784, 876099263, 128683527, 886820246, 239679034, 949634624, 621345277, 818023832, 990247814, 435235006, 48977319, 453399809, 750024669, 285359138, 114144531, 807555322, 809491321, 162756319, 52291363, 934341339, 207246222, 118035422, 171790607, 857212698, 24839663, 499620264, 578997501, 345718438, 205937020, 82673247, 453471154, 231577118, 303131208, 39853326, 518260968, 569328908, 63496602, 488358763, 910109771, 21360296, 558002536, 704131473, 697249226, 711301632, 129597963, 388615960, 943869557, 143350160, 988547273, 676227895, 845462245, 886626767, 528137195, 513788313, 668898292, 269084948, 551154063, 807788613, 26103586, 310426727, 311339013, 834380238, 154493386, 483695126, 289318437, 586280190, 26548261, 7283416, 89245440, 360280220, 952577866, 816747470, 557028923, 802131872, 508060257, 620521231, 474537912, 744825374, 69604801, 308525730, 84695174, 591867610, 120212845, 175611464, 231751606, 446624590, 845826964, 430374047, 527783653, 969359864, 64822786, 841062228, 316631041, 826138528, 852049229, 412712052, 561206530, 121570441, 444847715, 840493482, 709945745, 848677410, 245960863, 479574179, 472697818, 715320524, 697320624, 720393157, 747239366, 729294919, 924468096, 295101091, 652083784, 885843515, 13371458, 148593491, 205359243, 734589082, 59728493, 884680624, 18457062, 822863653, 507946405, 973450327, 773557980, 496486605, 255558398, 706776931, 145377721, 406410711, 79570497, 939529110, 306324733, 486148326, 86785080, 476541897, 653840476, 757250851, 67489028, 126182943, 69140492, 29574647, 949491848, 252625109, 73599928, 672348729, 149095247, 571889151, 489380583, 826090102, 851865426, 848630840, 831143770, 927940860, 619503143, 129907681, 772739462, 794501576, 31304554, 311155653, 332351895, 333654826, 116503577, 73710831, 417918694, 368975389, 133068778, 354758169, 248430663, 15843119, 336985152, 295584574, 600987564, 636887706, 838429041, 188235390, 324880755, 388380709, 336657773, 879941224, 848384691, 36146591, 600276757, 728053496, 707376712, 111507621, 650811524, 575452974, 152463533, 490815455, 416086578, 168615573, 481769626, 952616323, 471489029, 735902093, 470005652, 652087958, 579245266, 616320015, 704325889, 969504370, 914774334, 503395228, 718377621, 800321314, 662138244, 6305005, 530296332, 981461091, 549347225, 599600263, 388860091, 186879757, 438495100, 617857424, 385653770, 90478742, 671507059, 254842250, 135901418, 733491512, 150922238, 379157592, 799451221, 233502622, 625804484, 466305954, 377490104, 688288485, 273241383, 309478424, 835594738, 720842300, 982357554, 115656373, 834676933, 430478248, 503143171, 173238472, 427571859, 921830248, 137338547, 821487827, 201615458, 886867187, 793265870, 367463903, 984268128, 298311787, 933911332, 565413266, 268896445, 839990026, 666091212, 881359265, 580118873, 678283023, 842096409, 170481283, 140151982, 488301253, 79449612, 456525577, 600833054, 468411945, 736193161, 204745685, 37032092, 370242281, 13723900, 706597542, 366170135, 553449206, 569296242, 123730591, 374694847, 699909675, 288651045, 603067735, 738244691, 508276561, 174868985, 490936549, 633658369, 463863416, 557658950, 170838087, 682390346, 808653635, 943357045, 550973281, 216486041, 225356018, 509775253, 289879348, 301573230, 959442725, 97256980, 142519622, 182283062, 9566189, 200082690, 866306861, 752394944, 759729168, 980275533, 420244172, 238861132, 906712901, 295687898, 404613276, 427586780, 381750141, 862864683, 1297251, 692368336, 331106344, 850796084, 299866963, 523052043, 429288334, 25186276, 356164021, 728677867, 170361583, 672968286, 575731929, 651875664, 309149936, 925208609, 262290293, 932961282, 982315072, 360354091, 299742556, 329332864, 999362836, 28981786, 194400579, 772952052, 470546122, 537154999, 169370061, 229859370, 965311921, 193023775, 742834672, 530940332, 421685641, 381773403, 232062151, 335332054, 892876981, 760258017, 85394643, 4113555, 464698385, 596152962, 71958802, 788346187, 454850605, 120047356, 516416623, 999972, 895426000, 728187299, 406064332, 782153642, 893692752, 594531964, 563093747, 998362760, 2470949, 745610253, 371912117, 864002068, 336961344, 667200436, 887467851, 596158984, 710380000, 705716631, 400482622, 88539067, 316535414, 348370305, 688635391, 589424065, 608234029, 859934335, 388684826, 102248102, 578087852, 493001442, 828276357, 687740139, 222207346, 508622193, 881707278, 728572102, 175115485, 815903101, 979166259, 882084880, 181803828, 848406949, 754930462, 284981828, 637872412, 927494091, 810928174, 488106964, 842874688, 950530136, 663699859, 136630003, 512462453, 57083877, 794411550, 128563213, 232761918, 342805214, 266664459, 944621031, 144624113, 616825274, 819704090, 110505496, 327014583, 188440279, 952664801, 400320523, 964563963, 873409756, 146866028, 828094442, 768323002, 857632658, 161127238, 315726244, 876211356, 22685653, 996418457, 326989922, 640691378, 217881742, 799952346, 969841960, 13203400, 396902194, 173428387, 214927456, 368687246, 933091033, 162047364, 888555110, 268534779, 628182257, 275119034, 712025845, 924630465, 680414136, 50237978, 82220767, 680036585, 344010712, 809251897, 708560156, 638102011, 197079394, 911366089, 253657728, 986003455, 796774641, 246833453, 948657485, 301873356, 945127344, 13951295, 513744554, 798339102, 741189932, 535287569, 613469297, 253605547, 1800560, 520562570, 277329926, 589477608, 455945981, 710430285, 582489850, 281384298, 503497045, 511891915, 327161488, 815717416, 152401285, 286784010, 905234567, 203714002, 196367122, 711385025, 381521303, 212867426, 808606469, 201490735, 571210428, 411262499, 487552031, 472149612, 303203536, 941803373, 782042650, 730217815, 873280843, 704363366, 274999822, 741983096, 81083702, 612976873, 662209987, 755129588, 747170078, 958476579, 573875679, 158311987, 923340080, 591023194, 125553023, 669213501, 675141580, 358827979, 810069312, 398593225, 214054304, 97179496, 402183501, 704891888, 408470632, 62893040, 850751525, 699273128, 638930668, 777603883, 178499229, 548549432, 863950270, 113794654, 54988280, 904685702, 553679790, 187502790, 168858834, 458023718, 268917259, 187500090, 449289589, 662285318, 596185633, 838091909, 913938334, 254746751, 693613635, 216642677, 822697343, 845363251, 495885321, 601677789, 839062432, 529507783, 64434825, 124296920, 987029009, 680068745, 127374444, 118834555, 2863136, 661605656, 303973869, 290671081, 268081302, 191082244, 105040655, 221594662, 852198801, 990747204, 350369744, 865784729, 92617364, 189209287, 877466513, 464106106, 837478816, 314890040, 99640989, 599094142, 532323373, 141007793, 494106325, 314313824, 494957658, 610530720, 445565194, 977675134, 4162831, 690435067, 304133372, 310901006, 295135660, 509659227, 76544957, 292505392, 268905771, 94637348, 2141479, 591349, 999751743, 50435268, 438766902, 319327131, 943603117, 945932314, 851492293, 353266066, 921916622, 34607418, 535111543, 779045629, 939234255, 704958178, 152340085, 803905944, 851486590, 764036824, 335530310, 141690159, 57300842, 978841652, 654983930, 577948888, 902078083, 11946615, 645331410, 673198746, 1335135, 929713321, 124805759, 781712942, 801702334, 60398301, 295550045, 808315346, 712263022, 893729223, 156088814, 896992956, 445648173, 281250759, 68744316, 111605468, 2694717, 811568672, 308290290, 667784634, 790379514, 893833336, 304567376, 546724975, 930197338, 188093331, 865622934, 437728777, 738051237, 949881258, 582849525, 421634580, 358930384, 433522582, 997444807, 835962371, 80001165, 703265196, 313693843, 883368708, 687318883, 350812536, 59419419, 319853683, 883314210, 730431335, 431816450, 654909009, 180773041, 817249814, 591226173, 817098197, 642037801, 164700715, 903855940, 110382893, 764489475, 786116710, 904138969, 684286306, 70076604, 688581605, 726297464, 875997579, 607050254, 988457175, 346361738, 94055062, 301162263, 468770888, 619303949, 924804096, 795592534, 472202399, 90961313, 862543137, 950915502, 702164228, 31069988, 501982936, 576484821, 123640743, 57857243, 760091545, 365487923, 131861923, 945679602, 968529643, 515842042, 143240508, 66563648, 468839898, 614832714, 379845205, 91238117, 20445027, 762640657, 214381176, 793464743, 326816402, 517970761, 86736295, 495731745, 256670885, 214985148, 644645537, 900415129, 833914612, 367176694, 990901929, 617592137, 373887206, 73800046, 787723641, 530025531, 303535023, 500286414, 183716150, 575715844, 216829638, 579272370, 772185652, 465263202, 183765672, 635682593, 637777438, 992250701, 365940458, 924368015, 368262148, 528051475, 235237149, 81920684, 359616699, 158143666, 716277680, 646724350, 976010441, 999016025, 758331349, 873601511, 616385299, 576177104, 716411532, 404772990, 123753160, 206365718, 556683294, 38244380, 228998209, 361418778, 918986179, 619334480, 618354149, 53220092, 687276283, 665548534, 409701167, 460966019, 728043238, 544502818, 235621922, 974329286, 20768706, 182976962, 427180766, 533108884, 104547960, 159552897, 416392405, 887195713, 782476209, 815802159, 128584236, 120446613, 656565750, 308140529, 80421937, 538256581, 400067688, 586391470, 709818641, 175442272, 776423691, 160106332, 52141345, 187462193, 465280658, 240836361, 953256800, 115517311, 650268836, 211828638, 581591878, 448597769, 653030367, 113127542, 136099181, 935743748, 785003456, 671853642, 314127157, 347543101, 485539181, 337266127, 137005206, 262483544, 89957397, 956274660, 489851308, 509217124, 699870532, 722504877, 687288149, 80958156, 923593965, 218068021, 779683339, 40191735, 904853798, 64763288, 406745783, 149493121, 640487989, 560485689, 776971579, 260949072, 312976058, 797959177, 926147519, 552226611, 840171430, 269432475, 803629266, 424979420, 626903683, 28257564, 449393180, 944641834, 559936177, 678731006, 184083533, 878856587, 269480454, 200299500, 667373228, 924250489, 665721615, 960238012, 6727635, 379260533, 572573842, 385211721, 475175265, 497021086, 358215404, 817942701, 929188049, 503698688, 146232100, 576432156, 410889648, 112733364, 356303678, 842731274, 814370712, 160788762, 126499371, 939376998, 659977549, 402128272, 607092080, 434298277, 967084681, 352728549, 758358634, 776552580, 755540341, 567726687, 530108302, 146170195, 874700841, 121065119, 68045983, 421747073, 583020202, 917379575, 97835452, 181505544, 499338528, 243817826, 948719477, 555265455, 553672009, 200744656, 51474650, 328683421, 629523782, 785899411, 168351678, 668699603, 831769140, 17817315, 425505758, 193139191, 598521512, 848386535, 199706918, 304962698, 941580207, 735919415, 972257645, 100240947, 508565612, 278143450, 705328572, 665316131, 276050948, 588010910, 469642376, 341002875, 484688645, 962061392, 583830187, 309310593, 926272169, 428866272, 354652023, 3942377, 836012099, 842534737, 579243385, 101811970, 675727877, 194676691, 713007107, 633957873, 528418921, 11853540, 74639221, 762966141, 952860996, 948616442, 235546288, 21619697, 417013153, 214490225, 799646544, 574538880, 64608604, 620334747, 313074201, 827563971, 285238441, 967787908, 834579147, 483507992, 548511006, 365595377, 897113666, 681185187, 419441343, 481039056, 701515035, 47359321, 711188860, 771636380, 19611126, 171606143, 964319888, 502443315, 85594931, 666389196, 930019124, 288342833, 280348017, 364967058, 1114430, 975099259, 157220170, 679655924, 242877600, 575757289, 919657510, 744878398, 355892191, 18217738, 903011018, 792775856, 881706992, 423320604, 794069670, 22744826, 317460690, 88979808, 510574340, 283456524, 708836627, 377388551, 823555837, 404458093, 670189368, 217893605, 517860330, 644814471, 193938569, 861430452, 7541238, 352149717, 460773988, 970420740, 126404776, 274799131, 597160490, 469110459, 191452113, 41674181, 665876165, 468257306, 367842477, 77877011, 766812461, 597496308, 227052279, 791398668, 941197176, 166215242, 943538232, 150425716, 794878484, 83852550, 76248764, 820932037, 822283190, 720308108, 963179387, 379901064, 204021943, 955364626, 708629417, 601716868, 945633726, 839883133, 519892166, 86541654, 903686202, 849233582, 671085109, 772010318, 674261714, 832231313, 352999885, 364959731, 467354166, 502094587, 969322994, 25040656, 81269788, 421601736, 536289868, 403165159, 633125706, 66191573, 436375500, 384762019, 8921969, 672114493, 309651440, 264117317, 196012653, 229300836, 419090827, 928629685, 620488182, 154509852, 212913607, 282020715, 816040296, 23919458, 332585290, 39807784, 421912483, 919148346, 114382555, 760429159, 608556106, 272592431, 9053834, 525518991, 810500871, 793745584, 167857753, 57890245, 271774821, 586873049, 348538384, 501250451, 800425893, 673200903, 908156854, 15077525, 577253498, 912815107, 38719967, 689821603, 840208776, 83744557, 12746769, 854356059, 12181646, 858503027, 203999927, 668765690, 878500513, 514946667, 876769137, 462915843, 920628539, 490646110, 617220827, 353842501, 797121190, 616024083, 317078773, 243343900, 433201206, 465311347, 71422699, 621646320, 620977751, 256953687, 768171628, 647404300, 536760161, 590991802, 121997223, 991614184, 923935749, 403638127, 355119757, 252331200, 434433516, 212430714, 322897592, 611649303, 798782990, 701933181, 155253372, 804778446, 486095096, 508308132, 185516057, 82078922, 531829953, 922361573, 561752341, 53546122, 882329757, 229680135, 100915974, 180043077, 734747946, 4649066, 837110082, 151157004, 160569416, 77680700, 191945275, 636200935, 746366588, 984738294, 959655455, 767135935, 128813184, 721623948, 371194415, 917347567, 525631953, 52106338, 765163843, 192607547, 913379742, 962891345, 187127876, 893368590, 735274037, 445718245, 623538902, 824274989, 458367351, 831845406, 239866828, 61216781, 740792994, 552661556, 251975811, 977836669, 198953679, 657600918, 351028560, 725906670, 330646327, 965458296, 246360167, 430574159, 791465144, 56784092, 102906328, 912843226, 733180937, 753327985, 772302032, 95114603, 450698020, 144309864, 614947917, 384920064, 781898902, 468321491, 746076617, 109265572, 773188399, 788684627, 268094882, 200107432, 460856640, 441692513, 891622547, 259011624, 509212290, 197603734, 174132604, 345871572, 981277905, 296265665, 668984997, 369997733, 490771800, 859426004, 954629915, 70508933, 392742724, 669046615, 575801843, 943982442, 351252792, 125208151, 199434927, 649343486, 354794837, 630252174, 213508909, 414154929, 228136371, 747422508, 777271407, 231117820, 138080547, 241423211, 24660981, 382456876, 369990211, 257661449, 125358109, 67859854, 795970385, 550974713, 188650784, 763747994, 120651132, 752872598, 137262124, 347455152, 934836254, 734641298, 723195800, 874312962, 40452319, 750784029, 40417494, 133686508, 255699889, 166405532, 152678625, 303370737, 621360569, 262871481, 954522004, 958894350, 453734831, 858477364, 163704476, 276040863, 708844007, 261808036, 757747159, 865376469, 571839548, 786741102, 138216288, 488206849, 836952556, 331226441, 597548259, 727195858, 224799813, 933379038, 222311115, 198059580, 763091639, 315258616, 762807618, 156958323, 766430167, 390052946, 801085747, 317258593, 817771064, 313221220, 481923357, 216483786, 195244521, 301970597, 878019175, 347649364, 227143920, 485764253, 671382009, 715911573, 176275146, 861348167, 85153845, 182100314, 347827171, 356951269, 417391666, 414547360, 546214212, 403662778, 603668638, 502834124, 853075596, 621937179, 316443278, 244946576, 518623090, 384688490, 840289246, 307052973, 969461252, 433218338, 233614531, 328397228, 356937106, 744713093, 311071671, 265062676, 354362246, 804349512, 621818942, 954035180, 638364979, 900466667, 567918230, 136369507, 725174468, 940771380, 628182590, 525502392, 127828451, 680802163, 107320586, 722847079, 879352904, 67804011, 427032431, 752692420, 702695838, 243993679, 977219270, 89722660, 185364942, 248944230, 830842961, 521142323, 33320390, 84717306, 789923144, 800297145, 927886118, 187890744, 634774578, 189544765, 129015342, 153737705, 628957385, 365099991, 174167704, 828007103, 121378649, 503935726, 384270805, 621804634, 225190181, 468631587, 517802716, 567113793, 826443952, 71195003, 163162644, 484066064, 673227034, 647206986, 854992382, 692629741, 51113320, 362804389, 709591499, 186042154, 599346491, 240168884, 978926693, 682674797, 210488673, 912868543, 115661545, 754348883, 12501460, 706703069, 226475791, 552120482, 845514533, 357882665, 982554282, 411457457, 593984292, 7495405, 227890338, 821503315, 673524178, 423928623, 451996834, 456163685, 548300219, 514954106, 925905043, 212748475, 255699471, 729916721, 112632435, 127778159, 223477947, 466095464, 184224332, 572791053, 270608009, 741375617, 753993159, 664793086, 579474172, 231951067, 658023479, 431332106, 754365140, 388638432, 164011880, 280519771, 501629435, 801615536, 185871542, 455314293, 406509295, 616482973, 961961178, 533425923, 701294183, 515940007, 546133033, 261226834, 50645875, 72226894, 942554354, 618813181, 170313925, 609993303, 865042731, 446998825, 656273234, 965285769, 93372471, 330430010, 235389234, 853140923, 262276171, 576711497, 370941423, 893709138, 295750035, 158846524, 885857280, 770312840, 574914795, 167358944, 377805141, 699519489, 937368857, 756570208, 495067860, 781471765, 18258168, 775618568, 288409504, 138380625, 401571496, 424479609, 632741739, 760874012, 973499911, 412606301, 294615803, 185458985, 534337307, 481048518, 422283636, 489875247, 332874892, 685069586, 863233151, 776952014, 182302781, 511798179, 627927289, 581795093, 857247500, 355819022, 684638353, 599793718, 553254780, 801946269, 231197388, 209437007, 408585612, 124231183, 729927899, 441864381, 485685119, 90268775, 715544370, 247200326, 678901835, 415422119, 853164222, 165836622, 862690615, 229412853, 90676573, 894615566, 566093630, 27103899, 830920047, 891975149, 278489498, 364770977, 548852133, 602105921, 699850000, 794738747, 364949085, 607735083, 508464425, 262147291, 200797204, 781768270, 840329073, 17084157, 452473519, 521346987, 176065291, 356764634, 990214226, 416219162, 136911897, 296393774, 200811956, 317948221, 566102589, 62059832, 667568085, 544619539, 37259088, 761920369, 935370720, 317441846, 772588905, 127039326, 913389303, 650564845, 124756034, 319784165, 920925622, 298540510, 925542641, 610229503, 466803539, 739233061, 879675865, 684556377, 247349489, 666448556, 820967198, 547051237, 878748982, 487998796, 340961324, 938236037, 467390262, 630834080, 599213990, 802071175, 652486501, 86011465, 930311830, 65625327, 929080173, 240323694, 283181862, 27315929, 369839716, 959883729, 466978872, 415118073, 194785891, 443556270, 885326618, 100201939, 311032592, 183147826, 993551520, 402165744, 779956175, 739531034, 931614863, 290056024, 387469522, 386737316, 469126581, 698099004, 647375485, 700321345, 10038863, 406472585, 827217933, 622633663, 505720368, 988041145, 670112062, 500978805, 962738921, 642513765, 4621962, 301835372, 380393792, 155569208, 854365325, 615468577, 449306177, 81064894, 320440343, 975797476, 891832603, 227744831, 592639657, 227362568, 182432457, 344480080, 527249201, 310883716, 498458614, 477381485, 556383432, 996882481, 576267725, 799009273, 919257266, 852216064, 693860348, 275960216, 545670326, 368303977, 787399212, 237314144, 740120178, 544910277, 470769903, 879081535, 435063642, 192268681, 637572398, 164013629, 86077978, 94052914, 640301224, 245846347, 725172430, 770741952, 646324465, 872055719, 356735052, 334377377, 265436215, 809136749, 336446787, 318389058, 747357288, 271695953, 914300429, 216268272, 114685468, 859013212, 721196002, 380128039, 878718673, 311611536, 585506156, 457271396, 758677730, 389262679, 835862255, 48224013, 295105234, 460945779, 436259030, 173327372, 59885531, 306165110, 878444256, 903284231, 115560765, 677599439, 661973445, 746701163, 889803963, 890623234, 302162456, 447920254, 898197764, 574863291, 783583678, 591908792, 910470572, 826406487, 711469212, 40725902, 115483710, 55568779, 59053864, 676038743, 390929481, 18042476, 541362473, 69910719, 411146835, 103686822, 728758379, 510873321, 236263533, 124605221, 12929519, 596542311, 498732104, 35393780, 301902724, 478915245, 703280672, 533420085, 136447718, 45285853, 231770302, 837485122, 607094990, 361189843, 851657971, 404964952, 754432585, 576148363, 618819799, 405174915, 87298255, 772213436, 901863523, 753202946, 255843261, 963562272, 848366989, 786502775, 878178068, 177705958, 322807567, 894557192, 398734605, 346053307, 960916765, 565637429, 315445994, 587177009, 682416824, 746417694, 376278453, 612503217, 726115593, 830106423, 958102776, 953368189, 388951068, 747270736, 453447764, 860586903, 9991163, 121583837, 210906045, 990615624, 46162323, 210510833, 526996144, 980303915, 13817129, 759962434, 687202276, 25931626, 400304508, 58366042, 603759553, 671696775, 956157741, 898319879, 785978393, 756273788, 203468197, 790454803, 148480688, 47330838, 118209117, 100645001, 563092961, 918063661, 446356274, 156823576, 850528315, 520921802, 961200664, 826117357, 167140244, 615734701, 437169593, 443097258, 418614500, 715380517, 866945532, 511793950, 997258022, 531659221, 481453467, 305976533, 368416260, 145302375, 217754477, 424956265, 785141777, 538135517, 133916451, 193914643, 135884502, 538586411, 628619979, 988463000, 357909847, 634809572, 952847346, 631390208, 538408178, 85541566, 302244234, 905687573, 109257416, 111954432, 409346984, 48885269, 486631813, 820601187, 857481590, 252943304, 190513841, 359962455, 555918245, 222738361, 566021234, 660980946, 598103995, 348438305, 330688431, 847094478, 728324818, 299028611, 690265077, 999757978, 278999317, 586646403, 671335545, 992907265, 773375886, 789203887, 187321288, 950513819, 254082918, 85873463, 443881849, 568576368, 423455640, 313600472, 640232875, 744618830, 526949673, 684715101, 627722425, 956786619, 886408251, 390848192, 351828560, 125117381, 736593769, 327244043, 157746985, 877370998, 674587392, 386601990, 465175192, 468879152, 197494104, 999540253, 507855139, 811892856, 183717337, 756130956, 746121641, 549781844, 619118225, 650915194, 588089709, 348947314, 798202983, 394895921, 40420098, 164561410, 182035336, 435959536, 654791410, 917615623, 217038833, 28448867, 527223582, 730885934, 714436004, 968330152, 815433291, 961152238, 162978789, 717332277, 514342618, 754816274, 112802993, 840477176, 353423833, 696223149, 880989637, 508379926, 311958768, 148617510, 953316785, 939671874, 635573014, 698041793, 2090401, 148543071, 435933186, 627107629, 176803857, 637473307, 802738224, 291544471, 730239969, 31550680, 554833965, 437939187, 150697339, 156942867, 544033797, 864347471, 645061705, 519656175, 65126648, 810361137, 939596723, 742977122, 624391739, 702678995, 273056605, 607371221, 585731355, 880776136, 25593310, 560506959, 514394014, 642672857, 457301282, 726080388, 199707958, 677244936, 150285771, 129983140, 396153090, 141327050, 913923963, 435648851, 365001380, 493110758, 70166917, 465374480, 318394835, 631669322, 659695493, 242529544, 440066723, 285904618, 366893681, 209236263, 148092110, 387467015, 921266147, 467694369, 896311577, 571938345, 647807418, 812010802, 327058955, 996536064, 480866620, 38495645, 460752683, 389765416, 58411395, 940751096, 585024614, 113674812, 691736925, 572345219, 809757567, 169404638, 906886551, 159738863, 779482409, 247722451, 460342514, 114319116, 50689064, 532647549, 177707461, 757817807, 505813667, 207373386, 796632240, 802522240, 907123957, 51881847, 279956140, 921535939, 573841236, 766315280, 920234919, 757005215, 872763637, 704196636, 494744117, 396277975, 296307374, 591765299, 346181866, 192089689, 851202199, 758848708, 689864125, 940790344, 383715371, 985040208, 309171320, 59707461, 957620305, 107645189, 117397342, 586312611, 129044029, 8219979, 372638351, 191712898, 994420557, 24283022, 945733553, 413305392, 989254409, 333325158, 607557234, 767197509, 802631897, 463425641, 582605455, 567497737, 515603005, 682016960, 59729496, 893627408, 314284828, 797076221, 670506861, 877439626, 752369868, 198730176, 810932189, 928770848, 254457092, 122836855, 308740091, 891617304, 191520147, 241924709, 387211005, 547900444, 937669953, 246395318, 503560761, 168693547, 228653723, 711913442, 540912809, 94545408, 557984583, 1245078, 881748022, 625176489, 761990619, 114587498, 647809734, 41564549, 227051085, 157593465, 374937241, 105319437, 909149954, 666234928, 359496295, 665351675, 133544979, 975813521, 50670530, 280697427, 276268456, 109654344, 483471480, 298461461, 30643742, 535216927, 157460244, 268673226, 461080498, 272884373, 519031517, 609705266, 347445915, 451031591, 684196823, 537168525, 636681222, 528079541, 696493420, 448119539, 420583408, 642707458, 579304222, 907912475, 984834876, 267924670, 305665158, 869013869, 493496057, 707287934, 367297916, 242878119, 787763095, 692888343, 848194649, 522947435, 510252688, 691614457, 5653558, 725038474, 267917982, 970927080, 714560775, 777596539, 780114500, 128418688, 409984131, 966177155, 161811944, 218581729, 605950122, 696048715, 902192611, 48333221, 300108585, 849556709, 750081974, 531519311, 921586454, 169151282, 780706253, 54591706, 297551124, 513178521, 538794615, 549290163, 624433306, 585924518, 831558064, 276977174, 195390212, 243881931, 694618000, 460886935, 224867618, 19826687, 624714273, 208481210, 388312684, 334899037, 438323225, 981308760, 634520730, 263165737, 53200597, 1999394, 398618132, 401117491, 848815533, 484083432, 133022798, 126527304, 604519033, 354197048, 160113250, 535921839, 572438013, 853904729, 666394680, 4314266, 770035920, 60962035, 646284342, 148076328, 9481806, 431096385, 957009534, 261744060, 258044038, 215682837, 184819378, 568475105, 695673757, 81071933, 87992935, 400223151, 601186170, 717231724, 759361786, 24563984, 965552671, 287563439, 509356160, 735036164, 989412056, 817451223, 159743982, 800142601, 766503143, 81138167, 263344346, 27174536, 675339570, 248550925, 673136964, 746818768, 616594570, 306895125, 136576321, 782373803, 705150146, 583620182, 567862320, 423745907, 458207929, 267297415, 523519994, 20883895, 173086686, 823159483, 732596739, 273341881, 464529049, 240337120, 657974679, 671685743, 864128357, 444296668, 295842489, 133278625, 164737244, 221793998, 267795811, 369622611, 731203091, 482744217, 951847242, 977045648, 715219632, 874427308, 621853896, 526657220, 355094824, 917958978, 622075444, 569638030, 422447367, 690482898, 496339618, 402822395, 726689102, 417078909, 477323880, 151876663, 967053765, 147585035, 274446150, 174440582, 949203388, 493627212, 441544324, 697511244, 488194040, 90684532, 491471055, 707225173, 49033074, 662840348, 62026736, 665474651, 234210580, 985181622, 371061990, 55316251, 897767753, 524518235, 902804690, 329753286, 796531734, 483671824, 642764181, 587038958, 800256519, 386519747, 473850033, 969562456, 56843830, 829295437, 183344344, 624343905, 200122309, 997594741, 701610342, 778061639, 935484432, 635825790, 29787310, 185721997, 616876062, 808267554, 244897277, 697516215, 991922124, 488158531, 842977923, 171956098, 872659942, 874419473, 949136209, 908983934, 747494633, 389936595, 574246956, 911927175, 550388511, 658667973, 529139130, 400774404, 157530372, 64840786, 18995673, 879854357, 144819528, 901819707, 296111201, 710884687, 500237251, 364789162, 692670691, 781499559, 647742203, 136057253, 40877760, 432984110, 605546624, 401812327, 704075525, 943682816, 760415810, 488372329, 204276621, 780909155, 549570579, 324639664, 749962609, 362747852, 630788010, 561312407, 88553019, 935148001, 990230602, 33878177, 429790504, 783518949, 917362831, 269126631, 581220219, 549660531, 286570756, 927915484, 551822462, 539855385, 314750297, 297349519, 884721085, 223396889, 915065779, 176719517, 378124805, 791093421, 161382912, 841208577, 566933216, 454194914, 400917539, 134359473, 370969526, 739567083, 188876560, 317570351, 38065736, 379774550, 627353681, 387315004, 843069633, 208493545, 975294447, 996583705, 680324362, 151573017, 814310345, 974838269, 716270322, 570704860, 284109969, 784698763, 451045254, 895944912, 578827172, 393198947, 256579217, 9486253, 49790293, 381073131, 368145613, 650762095, 441007810, 873838384, 516696725, 326284337, 376396166, 527600180, 328813165, 101098978, 27193588, 239113048, 585344710, 354519745, 771897029, 920810308, 357894431, 468701469, 323919924, 82381194, 270464915, 431102890, 474901893, 436831797, 717243102, 727272610, 499276539, 657652769, 984908923, 47820084, 595719203, 482593787, 165856697, 967152153, 258371043, 565456680, 934093210, 653863281, 625176882, 272983646, 828986218, 734260347, 587053686, 120861324, 647043694, 596054062, 817413149, 465503714, 794080482, 310764316, 356874543, 118988530, 927568839, 403592799, 683321372, 706546719, 472737378, 86278876, 570060712, 307381633, 922471570, 254892079, 825775244, 970579456, 97702277, 708321031, 450421085, 453908375, 568497951, 747547610, 186236313, 648418646, 263353769, 247624271, 649564737, 905787261, 602709702, 620532995, 876488484, 187268405, 335680693, 830748297, 120991470, 90766553, 87948162, 111164151, 661328858, 312584865, 205898626, 822234884, 258531061, 357321364, 15164890, 928068383, 527654226, 414124011, 469832469, 815568, 848217544, 501545418, 67828443, 478410850, 13804170, 419383259, 237761910, 852420614, 422570665, 52350656, 293458628, 726019374, 29800534, 486958817, 14611692, 293978275, 214327063, 604667431, 143696079, 312889213, 325050671, 441677031, 284641740, 217726013, 144709716, 661620621, 949974702, 616654709, 299253040, 255499578, 284238890, 356537911, 86666320, 18958339, 275766219, 326616788, 243838931, 419136753, 952840052, 753741988, 985432100, 438530732, 245318829, 683782613, 628400481, 97889651, 340929468, 598224890, 745027202, 887595874, 300041789, 89590584, 746881228, 31677482, 1671260, 350723593, 11478658, 755803856, 346982972, 536993738, 731222607, 3045300, 561531385, 243423534, 19694828, 371561834, 359292423, 6137966, 352565297, 750484461, 778286239, 174830098, 881976152, 817305520, 598730326, 882119068, 104434305, 264522105, 915911725, 651516330, 51882194, 258305683, 343318582, 867581203, 971367235, 554004515, 304882651, 581331579, 311171959, 956371301, 942065047, 883986420, 321343475, 166843811, 467443638, 446409956, 459454543, 821233981, 753348787, 716214481, 74814624, 521713797, 564221662, 548688728, 733523165, 772429959, 303027483, 751146472, 350507755, 900042491, 934164836, 649105397, 596894103, 604472121, 44997183, 552196020, 83341176, 189832205, 918969369, 658979630, 27463498, 712985190, 752041475, 759393617, 504075022, 31835944, 295867108, 102066641, 43739782, 6950290, 316864104, 454874777, 757219644, 431459876, 394988537, 438443278, 199908797, 418897106, 302260162, 405822694, 987452674, 882352364, 134529577, 104081811, 176742229, 46630185, 611113397, 635298988, 479541344, 521782234, 299698442, 104545091, 99472373, 228319205, 285593215, 219999405, 85790495, 114622808, 85754571, 20761188, 165738126, 99063222, 802223371, 911164144, 978227523, 420603159, 740212910, 73420065, 880554502, 615546232, 627412622, 639541300, 647905951, 326794209, 235885234, 296250347, 786875846, 657286213, 320377820, 580938474, 432808441, 19986775, 358112824, 610893222, 818524154, 254985542, 453417629, 964618298, 106928950, 600374427, 630381545, 579857459, 38545926, 78919135, 237655387, 386990325, 324700885, 996694966, 248078569, 411790864, 692828411, 85340667, 710443923, 592476510, 380934321, 471225513, 324749250, 12484976, 60242425, 924517476, 725195365, 280177397, 794475745, 353518343, 989614164, 197169163, 872111081, 464834761, 776683306, 532554150, 768895915, 62869182, 452437598, 219001840, 302541444, 752835269, 952071863, 445535387, 289310155, 820429782, 237361532, 989877333, 460144375, 448923055, 885265985, 633254895, 530438231, 831244218, 733687778, 27712070, 848740918, 993504663, 326699861, 836103268, 669664479, 310513539, 901522397, 33051821, 632303991, 893736302, 923543055, 834316875, 321325196, 476539145, 685930796, 814224836, 510580591, 459580425, 309047467, 577895036, 597971480, 779788374, 243019163, 923014934, 984597985, 67056924, 439367612, 652797075, 358248243, 444896865, 986724080, 180089626, 397066861, 745639543, 589898422, 365061422, 819781638, 305903225, 757187552, 110266511, 102322451, 812443420, 37885197, 58543760, 91403883, 885580294, 358392917, 987515816, 743332916, 690056805, 360650568, 599156247, 944232572, 141153279, 656226566, 272734265, 334372738, 698043819, 339198059, 237481318, 370691039, 960721406, 523963782, 85646309, 647916149, 861437208, 551171026, 801897193, 597759693, 986657850, 491561650, 430819533, 771437201, 278117993, 853266521, 72943770, 415698551, 660575225, 956009553, 47209912, 634774852, 99368383, 356706988, 95262621, 405257738, 661414312, 713407022, 224992567, 236352605, 876469325, 74205017, 760722341, 489660432, 736971762, 301957772, 918015742, 386751640, 118676310, 331613324, 806378526, 991119333, 593728443, 530840802, 555648938, 845670521, 83163100, 797346650, 132946833, 655597678, 344513189, 148440544, 138896691, 232922268, 758213332, 408550671, 461099053, 299025174, 238560055, 232191711, 1817987, 191828530, 591381649, 291595061, 997659071, 974940747, 414518428, 607302492, 831543466, 286269185, 673441444, 64915778, 832420948, 558000905, 808296411, 296622409, 735203197, 255503385, 616408978, 704780680, 204650250, 492329154, 823257201, 501111114, 335221540, 161848841, 348499147, 540446496, 934363143, 560759148, 448972119, 91870200, 439129205, 667378390, 358492301, 931836913, 614808805, 498068309, 40702231, 817865615, 121361620, 805916696, 302956795, 409829210, 631374752, 432600906, 16225006, 219746147, 580116788, 576951983, 502908113, 675032410, 794783231, 489115197, 270454797, 341424710, 82427102, 12855211, 356104287, 745167169, 103714166, 303830227, 628476707, 599909630, 909435511, 978357249, 804868352, 551400054, 773403665, 571123889, 79267629, 875155648, 624458785, 368702020, 268319424, 670361846, 915551526, 708150669, 183895296, 788572939, 316523138, 526885426, 609015012, 131181436, 344558250, 249463386, 742971139, 710367342, 97922659, 118216772, 112696560, 102920246, 990022819, 412639922, 846961571, 752910939, 819055905, 762407826, 342471250, 100494311, 396911798, 733284191, 338053677, 822649216, 126067517, 492540699, 428338411, 536334948, 742189389, 782967532, 212382670, 933395521, 901020231, 325758943, 74039394, 557012040, 885526621, 222480012, 567430830, 516582770, 587380566, 804584563, 439101688, 247174651, 440394160, 491387855, 536762402, 142136988, 497189014, 316247101, 473509937, 916064608, 723190068, 58576229, 759957252, 943010084, 772799896, 112940466, 739103203, 578289787, 996387609, 735219686, 509621400, 136028973, 897877063, 775495150, 480810759, 21456674, 298360068, 132260492, 205639385, 735230457, 370313102, 431106531, 414902697, 405312500, 633716945, 706694374, 61062593, 293440740, 413103381, 723431885, 78557431, 193508899, 142796466, 897931095, 977088725, 727424382, 284129366, 213429680, 669577682, 158738761, 896511902, 654983007, 755551218, 365390358, 423199925, 351521066, 664859635, 978183364, 839570727, 13018644, 764468793, 629741049, 979086714, 58299830, 117247277, 53050370, 601946943, 178398783, 619087532, 579981564, 482287625, 405347032, 847249780, 99950865, 635527867, 208752096, 139516702, 845189799, 837760564, 894197990, 576706128, 1544651, 325454808, 558457532, 866949605, 790867268, 680683165, 240412774, 414506321, 885108236, 177497100, 555598409, 612299243, 286345659, 108997001, 7773857, 615929085, 910150531, 139658696, 917447865, 352813357, 652501142, 354992648, 900788601, 10386914, 267864767, 479555947, 535870439, 324964127, 93857234, 699776844, 877086745, 642988654, 901591058, 412690853, 4016849, 312797257, 556808620, 804635533, 572467759, 388629834, 182375879, 946286683, 445234670, 79206191, 602483018, 114170466, 134084540, 60512861, 660698410, 378196515, 344604287, 229186154, 333514303, 709149537, 900493439, 510253153, 41697119, 320604531, 693025086, 213796286, 696232428, 235262964, 220208411, 55090363, 800596863, 24931813, 789831587, 952456683, 178613560, 252971255, 330469562, 563181734, 88397059, 173455298, 152663144, 16123814, 61627819, 485448465, 17291296, 443794865, 674778668, 775234828, 235410832, 135808733, 647723151, 134904600, 855135072, 568273508, 762926453, 709695281, 585287750, 484390411, 323261426, 822870619, 182892591, 897287353, 504661456, 444530447, 924016961, 728081437, 243664984, 924572486, 251025638, 338724191, 686212498, 877215406, 111185204, 826421747, 641039418, 74624956, 576053786, 558520109, 732727343, 179533292, 284458619, 257867879, 308118898, 320969317, 914787604, 802078583, 538662584, 680261530, 233964208, 206444647, 581670513, 570088082, 210478276, 62324988, 639060238, 273029911, 775335885, 272463913, 417524545, 786242319, 710805201, 833965016, 72351902, 108426601, 892239017, 905517815, 344827966, 296253042, 620177899, 23355657, 459263251, 606255083, 146112029, 787966483, 783653345, 160214216, 159348261, 968087548, 983867297, 233784630, 184477489, 323759084, 393730436, 151426679, 305904842, 717855455, 211870954, 389512887, 939967340, 827464686, 292841171, 711858746, 823849237, 280035419, 733310668, 173480353, 780896755, 50072720, 301099132, 422404581, 112283209, 573892974, 626579788, 269545204, 765693483, 24323349, 420955892, 65021042, 495388143, 574461368, 271208700, 394805507, 662498604, 221243389, 540635752, 11552555, 437757035, 468935726, 796395116, 487656707, 676163936, 957464568, 36341008, 600765927, 22269158, 457774320, 288374091, 684238912, 849092960, 920036957, 819668243, 800336675, 499168444, 198746084, 817569420, 928329969, 970952489, 371589027, 338448022, 322666312, 519717851, 836959947, 9907794, 164097761, 568042632, 214802858, 678004381, 286430637, 992570100, 19181444, 328729739, 106912533, 606890795, 514694449, 727331789, 895839911, 133310644, 282861013, 623071057, 321350826, 69212367, 211333458, 580717296, 812997605, 81749728, 892522850, 768767813, 425503954, 409886412, 822138490, 433746007, 869070715, 56420080, 592697351, 107561631, 514005366, 38650225, 84139808, 768754096, 566777322, 177010647, 137383859, 385913398, 898303587, 121173656, 701421407, 909058585, 789727755, 977834284, 897310004, 728118369, 335470792, 943511050, 187218921, 22237963, 199497241, 248501038, 659575342, 104235320, 707879807, 720256815, 245061071, 785113114, 537970925, 715267859, 379679188, 685593418, 327450899, 392708680, 920630492, 733288766, 300327675, 476548537, 998639217, 923660646, 436439263, 324205976, 363175755, 403534005, 306883173, 824310396, 869879941, 667146023, 280031840, 796016291, 635041725, 658742833, 491657165, 355680472, 951726916, 989540942, 836326717, 939833070, 776847186, 193289702, 294461967, 82619850, 60860300, 928043127, 477977493, 165710566, 914365462, 995980341, 343136032, 90233426, 13611272, 689526356, 35978899, 463981796, 140801006, 248003145, 835321405, 185337412, 108398161, 548024918, 989149461, 645307252, 5380836, 807797564, 579106795, 568569866, 380465425, 459356618, 73767856, 677892960, 80498669, 195360366, 426103484, 175682630, 437987181, 935069036, 538799809, 633909954, 572302817, 915471643, 388207255, 521275395, 337693106, 457889018, 563778715, 652140907, 179411958, 698562073, 240774992, 248786612, 127023438, 545360499, 746832250, 18170699, 884502093, 37303660, 908883082, 571785310, 411771820, 872055033, 844081775, 704275894, 824096395, 219399712, 378445714, 251395519, 477617293, 671973887, 241518783, 131090990, 840446445, 301177165, 156210240, 333022958, 3192731, 774861298, 155986388, 453267852, 711617, 585630619, 92659602, 864316340, 848628522, 666863156, 830574466, 618944857, 425474008, 505299663, 815220718, 740041383, 816214145, 316019340, 804849617, 420827506, 519546947, 876049795, 654902817, 876630641, 700978326, 61530120, 330465435, 333651301, 566284668, 592549604, 959626515, 583213159, 66395963, 568617965, 686315155, 453132358, 857906068, 687295088, 294060863, 799289154, 162757154, 790002739, 454480043, 12666978, 679801166, 599229628, 468751706, 762738123, 283672244, 977248598, 356951064, 571646189, 264068791, 821903212, 410640238, 256179732, 63594737, 600067230, 207051349, 182029658, 607358483, 177033201, 997899168, 500069399, 168505395, 629110123, 420424144, 949551131, 824165771, 962777584, 373208997, 104090816, 478923170, 221077798, 128570961, 145912960, 981899230, 60583643, 613766096, 1704574, 604542383, 337869993, 174111551, 410613409, 155887035, 686942662, 419154768, 737721345, 44890188, 916593602, 880865502, 799817608, 558378465, 588022829, 569707550, 272090928, 175588406, 299456067, 180850149, 736410209, 671269631, 242134254, 906977065, 841192968, 199781523, 967150392, 865105712, 131942856, 666160659, 537660061, 701040502, 858137778, 88251599, 59142484, 497908243, 420562638, 249311640, 332130815, 807185532, 863987388, 947179332, 127268110, 518677718, 161060094, 359466166, 718661099, 727113483, 511171308, 903610218, 462561052, 600765720, 635185715, 276648126, 590569311, 681268148, 438630396, 350231744, 445486599, 443257589, 788480222, 762991224, 810693551, 896158308, 855827168, 525317748, 392913018, 882761310, 374639594, 232477023, 715726557, 436772744, 358878379, 17279390, 718235166, 551026601, 16838031, 683542014, 67677216, 456065639, 59106736, 66888627, 643899384, 388907818, 965992430, 26921542, 666826256, 105915905, 888572779, 840736794, 863811043, 832441302, 720893853, 79070635, 342743427, 94954376, 642699742, 554968969, 205747997, 871813874, 810011651, 506289750, 83954973, 580467563, 920314194, 527676354, 731374748, 844149064, 276493967, 834314076, 153922382, 807715001, 863117700, 765815888, 961303326, 43293397, 497534953, 693587206, 576753720, 827608656, 167038898, 983166250, 940898066, 580051199, 295106261, 936367460, 983087843, 390323296, 774586152, 959280941, 50388562, 17108282, 218667944, 37119529, 860389534, 504823166, 334476837, 581242659, 918610637, 915545032, 576129172, 800041069, 888808157, 506169091, 514238320, 192770097, 742851950, 653218561, 862601942, 937673048, 673646485, 528496788, 276167648, 318434198, 404859828, 347834846, 841740970, 261598341, 709685785, 158665761, 210610216, 974277618, 879362040, 223843324, 257566788, 536845835, 889246647, 871100347, 946409423, 538941836, 726499714, 660724271, 541179202, 555749001, 328444583, 718498314, 297905562, 841721146, 514883199, 654448574, 448772690, 463082476, 707397089, 437957552, 582806768, 424830342, 56561623, 915601750, 845299336, 768261243, 635349170, 531202771, 842805375, 912631756, 729413261, 566015887, 203395006, 152084576, 90083875, 374147403, 720187669, 688348814, 916734377, 629750449, 95008013, 605543380, 120281466, 494826355, 466611294, 49826449, 747315403, 327553847, 305504744, 139454721, 888716440, 43628456, 185168169, 836217622, 934062024, 31766705, 798153732, 101884301, 348885886, 514183471, 455548953, 107462261, 808531539, 280852421, 628700475, 84435132, 611261531, 989400793, 884409089, 692742388, 204609641, 882063510, 881441942, 753210155, 940651702, 24763471, 195303566, 576116323, 93592586, 832954372, 339386750, 237905318, 117990678, 934190248, 166452142, 818701956, 119401173, 232848221, 920740642, 857001042, 34081986, 524146605, 857196076, 827946374, 906377721, 698001261, 552206023, 97130879, 462926775, 264444091, 546330635, 800180925, 198396135, 918926477, 701060133, 752320110, 734785984, 411488958, 971484854, 383551877, 752918602, 941569865, 883207445, 548485186, 449031696, 462537437, 333062187, 954513523, 483093646, 374966365, 480652023, 225744180, 374507797, 202142202, 448806093, 907710935, 334208402, 919195597, 968577397, 544733620, 56788784, 816525405, 931349200, 659904337, 629075944, 425844170, 806175794, 788368617, 235999955, 309925724, 740664421, 201650903, 495807744, 501844093, 628316455, 989669215, 175739953, 31203847, 719606206, 455665501, 428689109, 851849941, 852443290, 873361332, 181885293, 955514550, 988539784, 655876606, 852593033, 293481642, 847715147, 276057490, 608727799, 460475235, 313040815, 705197766, 210492388, 750709646, 759695660, 430703017, 989648185, 868221080, 808064785, 899239079, 704999950, 660618662, 761253510, 509031607, 847917617, 70558722, 335503018, 477792329, 866245981, 401683292, 212256839, 844122200, 714694192, 345986851, 96248716, 127350197, 144603685, 79181316, 858694947, 753769716, 26220105, 204871252, 672392670, 82522465, 164520551, 957209211, 553679097, 580854539, 277878716, 547693500, 514218627, 818265363, 600319116, 747760708, 472725428, 391037914, 412128248, 593680918, 891532586, 294329528, 427822056, 501022770, 295664308, 943725404, 755817620, 535354008, 11017185, 336883678, 280146552, 54079751, 588111275, 15992588, 213874832, 808488789, 406348796, 97034570, 108947817, 378397859, 690286005, 954829816, 99157173, 166689078, 854331783, 838084576, 435662454, 612085307, 673654662, 75147846, 161548628, 326791458, 477813933, 647331091, 577296391, 295952584, 66197318, 393128935, 696336717, 399292929, 763429637, 310052515, 215206090, 625221014, 684133843, 331354319, 603623268, 994760022, 62016666, 458400282, 219704557, 369903352, 800805722, 233454352, 175605277, 711727316, 179686051, 761614073, 479787393, 261380186, 960837742, 816343412, 634394062, 157288630, 352983269, 349275055, 26795648, 954228347, 629550368, 598617059, 181374741, 230060676, 424802287, 268551523, 807032535, 379967023, 590771285, 935025334, 993285194, 882732089, 861216268, 304980336, 986459522, 365875090, 86237315, 770330515, 522400230, 113213622, 533150057, 290428017, 779254994, 749132961, 203101591, 699463446, 639376477, 369639288, 201884237, 976639004, 256689264, 851438110, 174283323, 759321804, 308508794, 2641050, 356309950, 62656215, 591763680, 463510183, 980362619, 799784418, 597425837, 37984058, 313691434, 32715280, 741132545, 260536552, 17692658, 893581230, 911043662, 471682327, 150964071, 707296484, 98052501, 741516705, 823661758, 298305573, 123465009, 136833896, 954182432, 874997070, 899589771, 993801240, 57841530, 774123521, 844648525, 745311138, 596437631, 375887082, 351162903, 398863250, 429145734, 171314145, 206421469, 553903650, 64749430, 642456760, 929592674, 690225230, 912568402, 677796653, 473081415, 712345919, 539176745, 877420683, 753714876, 155390656, 634734065, 841966671, 663571948, 259134339, 656289662, 959329587, 444615906, 803538188, 376463781, 973787486, 168961667, 129840203, 195854600, 550443823, 255236370, 869376438, 258788427, 624853363, 939937060, 362521401, 153930121, 990859704, 791213959, 747086955, 252210545, 157643522, 449629804, 248982371, 787803669, 847305837, 460872674, 314998004, 233270851, 69826095, 647597278, 862799271, 679105054, 614067195, 591477176, 917113307, 904348797, 139575754, 750499393, 371469229, 66394491, 370339657, 538376813, 327033342, 285305454, 674643841, 593921326, 978741197, 948105338, 229476931, 278774346, 250151123, 910213313, 53520620, 665378284, 63779821, 214883571, 906262472, 356464534, 673925836, 196690955, 687592524, 863874764, 652928405, 398135640, 834915701, 625643045, 652912977, 814090269, 766564535, 224234676, 971335307, 123171080, 307217403, 557644892, 53264559, 971389133, 876581401, 934745648, 555155525, 963435006, 195775102, 682907985, 981717791, 94216379, 310740026, 404780160, 160283648, 95444782, 169591799, 281603326, 275953513, 921296683, 970219128, 553537263, 298820940, 457694561, 951979696, 541214003, 510519365, 413700148, 931129961, 243335180, 736328971, 233261882, 439446039, 882547797, 540764542, 514526339, 134850776, 200391646, 651868592, 382279479, 935875724, 877617759, 572595896, 995052720, 973295517, 964110182, 913612007, 102135949, 656121827, 422993932, 835829017, 166092249, 288776127, 276690713, 110058051, 603842075, 113472297, 68366535, 938477478, 829350257, 290639243, 619537103, 558708497, 768801187, 283772683, 987982459, 408636947, 745899067, 101782812, 431655731, 437527820, 589871400, 214773545, 460094607, 171243912, 980061389, 803633262, 237370246, 483819720, 196500613, 521653090, 724829968, 205342455, 656874369, 354589005, 277684221, 928931955, 465169941, 910125235, 701348885, 110193431, 672533254, 334598773, 877982886, 577317872, 791911850, 864131569, 710977516, 581038246, 99642295, 53434854, 368818996, 919064064, 999272409, 539745108, 919349483, 774944560, 394732037, 588775784, 619090295, 148962539, 284064762, 75930070, 189345958, 453694351, 338475981, 794522173, 30917910, 409265335, 36401356, 375160600, 112189260, 837124875, 619673644, 543635791, 128664481, 616156163, 780678526, 345225407, 734551172, 642137234, 960791972, 507574085, 906359548, 703741823, 251593303, 791465404, 682577470, 116071495, 193186232, 144100028, 387970188, 637741797, 391194007, 264099691, 763042454, 885469609, 138966615, 47472170, 205178599, 934606528, 436997396, 408573265, 234388636, 388670164, 886064864, 444064101, 593700672, 155433530, 860604663, 697938220, 361408630, 421064305, 460528208, 847190525, 465306373, 289005051, 553608264, 508705405, 349737155, 286720847, 955998673, 512047225, 117862021, 695433571, 394540682, 594578731, 547698104, 78411406, 11493245, 665670925, 608491756, 714312296, 845651833, 555416905, 640037140, 821199064, 807146291, 864420857, 831675931, 18975897, 460196759, 729804047, 503233402, 136500313, 365918038, 178142829, 731644862, 143216052, 256243121, 424978755, 620407129, 348125360, 755308440, 994655435, 122086927, 732262735, 160658739, 307139475, 215712208, 387534532, 973153455, 218662538, 477037678, 448459119, 240755316, 141469232, 817266399, 88893301, 827487831, 203218335, 524202113, 147686094, 279580288, 450705682, 999701291, 252787032, 359752382, 551463117, 348869899, 536654088, 762021601, 682483285, 531960615, 325348244, 698974225, 707341267, 780686446, 378759295, 892857197, 499865853, 74128423, 650841757, 11907721, 929160190, 680647513, 792946797, 500886976, 373001739, 616475234, 430181532, 674267633, 256704073, 795616101, 980153184, 28357814, 385254319, 38800672, 333785017, 315744598, 191529905, 86877308, 419636228, 390248046, 936795001, 825720352, 423938340, 819543810, 279253135, 469582583, 38516615, 197309555, 381697150, 488987534, 393770102, 233908674, 778804400, 103432168, 403538429, 121930884, 847646392, 774249070, 980666671, 922083956, 892228514, 102457242, 300730026, 266614747, 682893084, 691866236, 580610436, 814269609, 512681673, 677014933, 550276223, 637680963, 684434163, 619834096, 245857594, 714265123, 856733739, 246256222, 248592283, 979515763, 303611908, 988574077, 887467141, 19373924, 977772746, 678706289, 66846674, 534594219, 743737393, 717946681, 380924214, 681173479, 713076473, 438389436, 421190702, 818266030, 667186569, 511428236, 637970608, 499092406, 882281418, 767926321, 988423697, 694833045, 197643368, 202505976, 61947449, 336469873, 785431239, 390533053, 423575093, 830222155, 883806455, 590968376, 256537761, 655003821, 486095004, 575759617, 760315056, 960952087, 923708018, 452704159, 825949596, 359810359, 49493162, 420856954, 266520268, 740202125, 559410631, 650852982, 24726626, 316216951, 24244661, 240596452, 378454289, 881536202, 567873759, 734940375, 934396077, 605892189, 613151050, 568926924, 105894907, 263593499, 231652026, 251039401, 671649415, 125004997, 95815095, 996413544, 687288362, 2399173, 823134991, 513047985, 379720803, 410861277, 802922596, 106074314, 174011761, 930638222, 677301431, 405367220, 115095629, 423101505, 376896422, 617607859, 69144422, 702808142, 776313913, 153175789, 654898839, 655286068, 733291151, 36206238, 737928218, 159276284, 690424534, 893896569, 613207822, 878724738, 484139067, 221190027, 288314688, 416084474, 606936568, 526090221, 303598561, 767242888, 743342646, 724223412, 871641745, 1359147, 144477282, 941808716, 537031096, 27317344, 720412871, 349578755, 637987232, 27701068, 184347079, 4786174, 846021676, 630418072, 80726181, 773739771, 276705764, 363519261, 11512557, 820838869, 547395246, 13444223, 144909261, 637822178, 639890846, 281278494, 584124689, 410382350, 469194336, 995146579, 281539541, 86175915, 39161265, 369630055, 200525863, 893767504, 556201119, 445225443, 311572532, 973592667, 324496299, 744744951, 660424814, 876678148, 431769353, 909736814, 493832122, 387633548, 58660654, 788948124, 82107135, 328907354, 79146663, 835693550, 720261614, 142307710, 944140810, 913452187, 884212592, 929337701, 894418998, 757154956, 131082993, 688083262, 687376628, 790080686, 494345503, 897813780, 797428220, 924602452, 47814769, 948076101, 485364400, 619155838, 294327034, 338201043, 291419511, 368283810, 70206647, 637553876, 35365943, 526242086, 981154520, 713814138, 594943956, 27327393, 487465426, 892648942, 376915531, 157583370, 639277155, 619652717, 216921520, 811392725, 47111942, 583162248, 602902227, 409084591, 86603101, 794997606, 169388884, 861716407, 979949901, 778877503, 956745577, 573844662, 330943889, 126631974, 616273247, 196812767, 856687346, 732757928, 519791431, 164296175, 770960496, 192578975, 144300610, 885950222, 739681293, 167644227, 184526169, 159088228, 653750573, 572134596, 698276287, 127457217, 559150521, 741590131, 33941000, 273629097, 228065917, 878810163, 520024570, 587907099, 846466038, 485151134, 947548574, 648666688, 886042641, 203128122, 699181585, 898831122, 385185567, 388284692, 562487968, 186433825, 51217373, 722018921, 50310262, 73762295, 37942011, 297786429, 196729063, 886638967, 238658656, 181219359, 371951954, 466281427, 684360955, 476516807, 267869140, 43592724, 318663536, 447577144, 940021573, 426513430, 627014655, 801248963, 976887832, 859104733, 715180943, 672502860, 145372525, 7587744, 808082184, 878689134, 486669326, 346028367, 83158926, 261715493, 642791974, 666754414, 712889664, 582420031, 862331931, 255664453, 734193000, 812613141, 93631877, 951058179, 395614599, 631192176, 820988680, 760497259, 407274243, 740216507, 691389562, 407577658, 304974010, 699405243, 14979927, 974503185, 923084548, 815387539, 920182721, 65929804, 202016378, 585405688, 899511295, 277254326, 758456488, 356541325, 661452959, 729807051, 540698731, 301357818, 808206170, 787714140, 823222657, 758326, 489501282, 992665762, 548692956, 313877546, 453418512, 838587084, 530027872, 269832277, 654506177, 114283323, 265286235, 377194629, 562367442, 918629767, 845974478, 126932906, 751041799, 662812209, 886987394, 70915417, 426904323, 40182667, 76393896, 315507838, 626794494, 867229843, 697541710, 212781647, 494560644, 586082943, 869444833, 64529997, 903233421, 265272640, 50641756, 98144061, 516309639, 561354276, 1241060, 815840353, 285669350, 222757985, 737037860, 690493989, 678305246, 189567894, 523068873, 555585169, 276541045, 403824355, 329346905, 265401828, 993860252, 31730864, 530914274, 999463212, 929372114, 336226354, 547197870, 976121914, 377710750, 676899270, 456367935, 965748398, 565689751, 246932079, 213280792, 778280483, 466551591, 687657822, 866343691, 758805867, 700999127, 949583872, 810656148, 909103020, 493586026, 124518593, 652633017, 571090595, 488751804, 259726970, 44334406, 445736121, 964206945, 357597806, 55348884, 889926562, 513527036, 529719084, 113590076, 550093319, 651523523, 551968830, 215140960, 61621264, 484701539, 263782843, 141735988, 836449807, 586756709, 481318146, 415294332, 655546062, 429270980, 563960029, 544430013, 474670294, 775805750, 712207997, 854762086, 241102115, 280159460, 119563747, 633998234, 310632073, 409370322, 670403338, 996972397, 578190057, 905592068, 627600500, 682666375, 756095951, 899016185, 161607268, 570512200, 442615821, 337613038, 799628100, 532445407, 256432506, 353305096, 287124812, 746365215, 814014246, 245247540, 543071564, 207049014, 798409292, 489597702, 648298216, 54320822, 426258908, 837313228, 135091074, 723387175, 143528304, 321308667, 702518826, 336658910, 234579543, 582784995, 846504844, 824014809, 999321984, 756845481, 842017001, 548883982, 171782161, 531679989, 379890992, 600141213, 977138498, 581120468, 402231604, 833787406, 434343310, 491502611, 93770247, 37631531, 43263409, 281776637, 935502493, 198269401, 702353909, 673771829, 413687828, 658862922, 533222996, 210185529, 50632319, 991493715, 7004163, 829949828, 934300249, 230711221, 200794950, 835193552, 568835271, 636927687, 859713539, 719663912, 122565904, 561737258, 979270477, 504060841, 435651578, 795750278, 365286032, 404861357, 29374393, 375782098, 154680545, 699710683, 944541068, 349368795, 555927942, 145463214, 371532782, 131871177, 242958410, 198517255, 485133651, 527707346, 41042364, 730569357, 349388230, 843206665, 367635941, 746358043, 139788526, 223772271, 123877330, 294425124, 854254920, 523848778, 360481945, 211217421, 549351937, 802355802, 242469909, 711416224, 825197371, 905371525, 591566851, 759871153, 857783078, 735303743, 269562034, 228372153, 18364031, 375681226, 562280279, 124985374, 961273928, 106751295, 34710970, 487938415, 802949307, 826592008, 657032380, 425482637, 243985626, 953205725, 523006441, 464963779, 775542741, 658529683, 777323353, 434972761, 560217221, 71832268, 691211741, 558005844, 282638332, 844142504, 652415037, 717303812, 217240466, 288818332, 846088553, 57580257, 765574394, 53885671, 599604101, 420474104, 524659312, 30553438, 884351708, 109328534, 910647625, 358185870, 73987102, 229496598, 534177476, 757888590, 731649855, 429648858, 787601976, 719435874, 526184065, 511776042, 259622198, 748465473, 811524339, 783158461, 628188955, 211249512, 460759309, 314649882, 394187580, 357163156, 111020311, 301203040, 551455298, 358476241, 136398143, 159077166, 209772568, 734266334, 933910745, 134348501, 267015447, 191834955, 302160647, 877641974, 457885199, 315488877, 784373067, 457952867, 953928713, 14227146, 672402766, 822389883, 906764259, 705414997, 27013677, 792408410, 979764593, 190214166, 684633560, 684601098, 697069139, 422981239, 476775166, 993910660, 543528162, 386953677, 267846200, 108898458, 123580342, 820218190, 147768419, 91801463, 708357973, 482817139, 736551990, 289925336, 116971302, 182927790, 63407470, 209471088, 669049020, 941128386, 30735245, 408490791, 3907014, 150406015, 719620746, 31831897, 186415387, 15010954, 851726842, 545401636, 1061595, 260266439, 226863414, 748056551, 368062603, 545826171, 830410778, 783681331, 340584944, 835329710, 941446401, 283184656, 241722169, 308833460, 960005550, 272646794, 374612865, 148167146, 312454619, 487784796, 891176216, 106505593, 315427404, 731972321, 243778675, 985640602, 90309819, 433529001, 582098231, 949727249, 356783478, 719452198, 665264143, 244422805, 149246914, 996666078, 95224846, 809873695, 254255447, 843504264, 121878560, 526104920, 670705096, 190589707, 648386439, 125353749, 63236637, 867200670, 241432791, 252974335, 583940404, 524607408, 762382843, 203959361, 507650136, 191215246, 395532935, 661318259, 310271342, 997187035, 184757833, 817785248, 680017810, 788476255, 132230152, 327865162, 396471444, 260061700, 591118063, 324818262, 130051462, 598576959, 888312510, 919013911, 498673820, 171388611, 729397402, 500823731, 317594831, 905056636, 762233536, 270193105, 718828879, 735623051, 253345552, 502411444, 83972171, 269752228, 68994413, 966763679, 692149605, 137492797, 244069944, 961435949, 446558148, 617574735, 245262491, 526298357, 98802338, 360104749, 683632015, 246158883, 758500140, 112307794, 893531231, 400226798, 525487316, 765188822, 803969167, 978987436, 234338605, 477255301, 780499236, 748416215, 549887236, 426344070, 250649381, 491602365, 645959900, 522507577, 107317277, 946273306, 272095517, 521975296, 308446610, 692043909, 23748453, 312184959, 310148759, 776413426, 768560778, 532265386, 482244843, 291029624, 779855267, 268736036, 146393241, 181997807, 912570425, 752656334, 867357611, 825091054, 740835837, 125985114, 244449188, 721722408, 871975219, 298634433, 177580640, 32925673, 687462229, 684060438, 475402774, 303047455, 521132371, 765511786, 196370431, 382269368, 152708521, 611058046, 572527464, 829689370, 441033762, 379227731, 946707049, 222291890, 682016904, 935416592, 25671644, 528056136, 73368238, 995687522, 533759792, 539434133, 428585946, 783533652, 444814075, 831217225, 287898744, 99431486, 262912120, 198849987, 869884693, 563445718, 737420484, 818140263, 989100375, 710973559, 9252216, 5130747, 398282759, 366063040, 332291531, 45768850, 959943933, 31335120, 598701297, 389189947, 385757933, 187387056, 332310, 160748489, 959682373, 338386105, 137287338, 883389119, 689876352, 314729437, 657021334, 979261960, 107449043, 930904206, 807590296, 922453176, 734153532, 971276235, 765817794, 797090236, 340405868, 530972905, 183253970, 114585716, 222115108, 431012093, 647369474, 669344679, 569085196, 375567660, 775970510, 721916531, 729344373, 906072491, 88603136, 491297163, 682371120, 214612920, 123673103, 825541371, 842079180, 107784489, 246027068, 469416843, 192399675, 241544226, 580744227, 27177043, 496959334, 490487155, 945831092, 138071151, 102960491, 699087652, 286314031, 103417266, 410087329, 417201823, 182316670, 670290103, 622755892, 525694442, 486026872, 556383025, 322312625, 34743112, 14320643, 157587079, 686078404, 486821809, 297519644, 237913609, 758638609, 803381736, 6080624, 560993758, 989518697, 120793681, 289992266, 171079899, 475755469, 390112420, 949771270, 125859907, 845514253, 48484200, 145488666, 368398426, 307209228, 92885278, 542449224, 436064108, 485594860, 284240332, 33699602, 75246796, 231958211, 356672655, 455582018, 374034293, 200461198, 340624063, 997155511, 648087626, 666858793, 450077716, 40746079, 63796507, 143921665, 182438762, 733218927, 583514074, 838299714, 39166921, 323719461, 942450321, 91070488, 284196760, 865172073, 432852250, 279993823, 791538985, 532034256, 700415783, 287994390, 73492940, 348717436, 529017756, 870896681, 917214773, 413916241, 41856566, 646143104, 62299416, 451718045, 185485503, 953447917, 708741762, 369761225, 341417818, 430621847, 154774977, 896609762, 822205581, 545675251, 796514621, 665819708, 889677251, 708851578, 80147835, 588546166, 415870577, 893155126, 879011177, 386757210, 848874017, 934123973, 147197377, 424273533, 589499875, 578440681, 6964109, 793625609, 337967185, 809814615, 188726984, 558071747, 639178521, 561972153, 726730842, 983135540, 2081235, 879284471, 655033708, 767757225, 249231267, 79265248, 749978881, 259533640, 179433036, 140538681, 515794177, 200457670, 680764716, 143609110, 641866525, 476932301, 236755911, 539515176, 116264418, 634053582, 57144860, 997881970, 437243723, 12714765, 791692154, 688127069, 535806545, 107638375, 935151876, 732803384, 907840686, 393087822, 847402969, 346267216, 254734569, 876849878, 841113036, 608367597, 345094706, 781897674, 956234853, 887605863, 250009302, 400585554, 85949680, 579245272, 622863366, 112067211, 62209796, 30014330, 348441414, 899454508, 786308330, 256787752, 549606925, 526350735, 796728684, 523894677, 592034884, 35143740, 561224653, 395765641, 23966086, 821570352, 944838230, 150944462, 690227106, 170911052, 690070288, 753374713, 338005657, 861597927, 595595196, 488362955, 43976271, 89517478, 601893084, 144622608, 94229513, 689266509, 691666613, 794870550, 722878901, 744170154, 500608235, 874269136, 189032448, 388230176, 670274735, 960101893, 653734062, 436269266, 320534201, 175400475, 503643675, 214029342, 155717636, 910080848, 565475509, 77912777, 68135389, 254624705, 326451334, 741136630, 263110111, 806045676, 494212789, 227212256, 587000885, 880924939, 328699997, 48505712, 73942177, 894452173, 932775493, 689822875, 29714712, 619289015, 74799073, 709419045, 837376264, 151113971, 450229339, 417470505, 680272047, 295353685, 164843334, 799340863, 715779216, 479778783, 19904260, 437709233, 531419012, 638266498, 234817123, 387528303, 874016316, 624452229, 336784171, 207090673, 461678711, 540897196, 352168086, 99904403, 450815152, 234159037, 775482149, 589577422, 974673284, 917538713, 533343512, 633369107, 404138498, 879132426, 862242479, 897989840, 154760470, 103299465, 332371258, 99732054, 18281397, 160300561, 838747316, 194107377, 427177743, 126615857, 700019034, 993276356, 972115407, 838484213, 956018065, 55476684, 347330609, 503111515, 986984970, 138162465, 926072760, 505061305, 52666810, 979756838, 925326109, 214731139, 842694911, 338155808, 837670785, 474724318, 835846570, 547003355, 647322791, 831906599, 201659348, 174527889, 846962649, 852282039, 18974496, 395477248, 601682022, 671303428, 626467046, 310084851, 784616394, 212654772, 384217618, 14361168, 109264045, 570916841, 412275987, 688475336, 360353914, 87488137, 118016963, 878957106, 812465175, 599600261, 415174659, 531428694, 154790002, 286614759, 28608188, 214529482, 936390648, 165554782, 339484286, 773334527, 557239519, 739255933, 234856274, 675835949, 768575760, 939726303, 369730888, 413386830, 6981849, 944504715, 296302349, 357976490, 570588673, 280872680, 406421258, 964055629, 103211165, 957763774, 554260424, 471451211, 511550985, 657495785, 21239963, 737955568, 125350060, 536128852, 684890347, 832296231, 534235617, 73336188, 144466064, 976738662, 361311321, 53261981, 203912186, 59993215, 37822164, 598695243, 447458634, 75822046, 696465340, 151167326, 484837784, 700700248, 635715082, 937199336, 116093508, 408718130, 141865086, 30242427, 882343778, 107509795, 549084528, 113031379, 827957260, 207447611, 79160556, 157206423, 325604057, 431118524, 332570024, 132828109, 194153390, 16285683, 597337757, 141537578, 597164954, 644819414, 548487574, 676439973, 887155066, 408766075, 374064251, 627280172, 881583908, 686476007, 260488690, 459543401, 234501636, 767151121, 767286150, 304516992, 899451753, 413666127, 81381068, 760811276, 11682851, 229369427, 443928257, 348920485, 114412414, 824639638, 320417292, 719604033, 208099192, 661792873, 355604755, 489208379, 720177760, 767727266, 801967834, 697934799, 373979260, 625449082, 900819067, 524569770, 968677400, 959519638, 568653859, 889318694, 392277899, 572394329, 563721391, 78280642, 277687371, 634812929, 383653244, 1616646, 341182599, 767499673, 977704935, 455950979, 797182583, 692821049, 903203194, 740271495, 894536712, 85290179, 42844791, 644749591, 757718515, 612949254, 458091034, 831395515, 944748208, 536173620, 812307699, 869672483, 715601222, 22982600, 957516465, 130948594, 608865699, 431473383, 633367288, 151337003, 715567693, 831616464, 250093093, 343893741, 147873990, 367153030, 315137205, 851098290, 443492342, 41075170, 721717104, 461908009, 987971305, 968100371, 71306484, 658917665, 447461343, 198329190, 742103031, 403801750, 547559475, 270692480, 244243852, 958002533, 605012317, 249605865, 627489474, 558646379, 436918545, 758600232, 863514135, 680991348, 102358884, 100736632, 944869588, 864842023, 239080140, 88617790, 580786333, 398371367, 919695901, 569156348, 125404541, 60334877, 512654382, 361118584, 332195569, 899827025, 315075125, 32303356, 159523070, 447797144, 412457883, 59537268, 468789987, 400367419, 382445870, 847229782, 219896709, 35280270, 519209758, 524822066, 3233310, 547716377, 953918557, 620592083, 744937048, 666580151, 884822616, 847930429, 633681921, 358278295, 315886561, 952205226, 19912593, 415016144, 980881829, 189853511, 917642325, 631479521, 576068353, 844964085, 675816850, 435696466, 663350028, 121972998, 346292047, 482300635, 89532418, 406226974, 186090623, 462572278, 669375369, 5408488, 752244415, 850143099, 592811818, 877360436, 816585041, 267807363, 928359340, 490279915, 879454965, 140047357, 162866020, 521186048, 686310037, 896098661, 145718718, 910491459, 239452718, 864690449, 283246290, 256832224, 712164024, 292750308, 33461981, 936339733, 443340585, 621803616, 215827426, 404292443, 578464817, 864099455, 673847716, 698485360, 120501175, 254883510, 23893532, 972265483, 166773984, 688026346, 903074196, 139340168, 903871254, 915962556, 376194413, 239215062, 747637726, 691450567, 614536958, 632279476, 313162116, 946973310, 914098190, 354101917, 333146126, 894716540, 499692257, 695303328, 671758223, 269663143, 553832402, 109829107, 547498364, 959396616, 936494093, 267398087, 803502298, 444148085, 186432654, 568443478, 128036394, 869405998, 676956845, 323497183, 368841210, 331874643, 468833548, 238938311, 727440452, 352338021, 196183083, 923794085, 647620836, 423128551, 566274816, 942898140, 595533634, 373591247, 503450648, 301916466, 8708120, 642390020, 960366268, 417079708, 19505217, 718437283, 994272337, 576266953, 267978380, 620876115, 560503150, 104881744, 588577337, 853021532, 92773150, 331318249, 40110799, 537465878, 99091266, 715165496, 143295717, 559433274, 232148910, 646022496, 753034835, 511186097, 666038148, 21304319, 640529253, 189355797, 348960957, 861505285, 772465162, 106856831, 276835068, 553306661, 594996372, 301654227, 572507808, 78309419, 924568234, 98232032, 793021913, 711613980, 178313275, 248950636, 175842426, 635103927, 648551638, 149175721, 106929333, 681295125, 195268085, 777020239, 545394095, 952433086, 431032492, 33199450, 639097493, 674713037, 373250856, 965884177, 808755756, 799244766, 874813906, 288041242, 972752016, 56146326, 570362108, 935808679, 262328559, 215709345, 919935644, 833924640, 221800020, 449290613, 324667430, 878602819, 535946140, 808444930, 230631535, 674122035, 266791111, 60396163, 921155403, 821742062, 476924890, 361644767, 72403480, 49853218, 747630009, 328061877, 417439488, 441033656, 632159512, 507820721, 522538070, 402865791, 855645408, 573952911, 283054350, 765745744, 537792458, 839929118, 554073294, 59924421, 136721373, 808381582, 364457444, 453435390, 402637446, 753919866, 960999911, 119331766, 251289717, 436669280, 182959411, 756668304, 200061312, 639127990, 595742744, 442025654, 763865471, 45364622, 984634075, 24386047, 285076211, 553281647, 36658000, 403978309, 146293223, 293518758, 39242324, 602427218, 955698155, 291735536, 425142178, 75573636, 460266447, 659879658, 544628691, 943659730, 491755148, 584904449, 414747421, 65881365, 976418335, 361809044, 328089179, 964390969, 950865970, 17441554, 991030273, 339159023, 590015895, 277362288, 697562806, 106295843, 390948291, 632721428, 185630689, 897951902, 142045815, 558379476, 444337643, 44745411, 161987194, 226963391, 911420654, 976080276, 893233652, 868123763, 333580982, 456166449, 553226012, 429155676, 92484550, 307074065, 410004017, 889360299, 565314544, 241794172, 436631745, 174423984, 852262193, 710263851, 260431951, 546490030, 785215293, 503322380, 109051541, 311081459, 531805277, 831672011, 457192453, 741254711, 618690461, 58033924, 458754281, 361402738, 428617505, 171527688, 86775423, 517784449, 258114637, 258639601, 747565466, 130007837, 3824845, 93132914, 233111935, 259801548, 149413240, 983993691, 797668615, 918119212, 64008440, 727563489, 312748211, 806530225, 866354155, 445614416, 903652120, 203652303, 886830107, 140246481, 263444821, 487926631, 642834126, 430543872, 797090506, 318096696, 507881666, 913908099, 11604038, 127172645, 357073165, 927274288, 707900290, 399462925, 207720041, 369532459, 713115912, 435903218, 890799763, 359602672, 936757949, 53399469, 863989773, 753734723, 212994396, 614085, 891786927, 370823381, 566691107, 718646251, 442898749, 452139134, 320961586, 354088058, 468086759, 706349926, 53032139, 599933231, 446990631, 444222755, 372571834, 698225119, 695399666, 773574399, 357184755, 776504072, 732137473, 709119495, 636698340, 844173280, 82185779, 539007567, 9446286, 83539706, 442043065, 112979215, 770200179, 968899491, 858582385, 360788009, 591691548, 389559186, 336045146, 534624429, 59063331, 715080752, 113577201, 987124861, 641187180, 724691310, 213828395, 360706711, 719910163, 856165805, 996203522, 952128882, 703174068, 232818133, 634861302, 251314743, 576130620, 891228599, 486125878, 347373354, 52345979, 128590367, 623188252, 624162653, 962840768, 191294364, 913331870, 154984041, 100738988, 965337639, 66372124, 819650510, 474557643, 236107285, 789901808, 228091145, 557034352, 973535882, 299116824, 586760351, 919651985, 961388014, 543399430, 766958569, 894780133, 82087971, 590419346, 925531041, 579062029, 720235956, 296886807, 807992629, 614995145, 598264088, 243167457, 397911710, 61253677, 91652372, 379127543, 273371304, 873818489, 180069344, 582614778, 450787111, 439930485, 301994391, 172207571, 268398348, 890519151, 324178453, 49325071, 167737300, 469953303, 494682128, 863564786, 379510961, 689764652, 920206372, 84701663, 536313610, 238050325, 839640831, 596351160, 167564077, 982270299, 970680906, 516740209, 680315547, 485981814, 345284543, 46138708, 260154757, 951418001, 87190965, 684993063, 407087809, 182928954, 86958420, 785384537, 598499837, 497547438, 733147693, 996554609, 483929121, 298046403, 280071453, 182201137, 258234946, 519357495, 775316726, 481500777, 378576679, 213015413, 925743368, 27325096, 807576244, 479734205, 258359972, 967227, 911207975, 265318437, 476009591, 667104769, 186032845, 659780186, 875108674, 354291436, 126810023, 820601994, 295726725, 724979290, 567579013, 122925213, 332448980, 890660336, 194800023, 796117546, 305476044, 132448718, 297922480, 982015526, 926552629, 329339295, 880758407, 955707493, 404114257, 479776440, 416277834, 665259754, 967297698, 895668877, 765533058, 644604533, 19766440, 937495159, 374871503, 759097578, 898219041, 453288928, 940326167, 596071104, 213452496, 251154939, 120981557, 143450911, 729162194, 916388434, 915918014, 636253694, 673753950, 737828766, 253480748, 611332843, 473403153, 83130062, 186440894, 862301875, 709879494, 155794511, 309553452, 583303847, 373194393, 997182042, 534294410, 598556869, 663967431, 53656262, 780834477, 953191418, 713183738, 35773636, 206857349, 960533711, 530527494, 737030882, 697351356, 40991260, 489215176, 792718472, 606782076, 542403926, 724173148, 238621950, 435022195, 488311403, 436226960, 314979943, 193558304, 374905406, 870519144, 981998494, 693000922, 988395328, 797987201, 564663247, 883618478, 122371689, 275580554, 796079454, 598785764, 434225902, 795750553, 393578899, 750770899, 686313468, 822126843, 782545868, 832183920, 671106083, 144341797, 700451317, 682448248, 286482938, 857962572, 580347433, 654803229, 20331307, 192428094, 241231025, 666908657, 640002483, 488858255, 307392177, 36891839, 759451533, 278546701, 413682854, 538439375, 791577454, 659576628, 468769084, 24871781, 42851931, 277370287, 942962095, 940436075, 674662222, 223154700, 389087925, 288949462, 956671979, 784701640, 605593367, 992701530, 486496081, 305008458, 758641137, 465275842, 956463323, 939876469, 610897834, 599358067, 415940385, 504626416, 328576710, 17217047, 419754822, 671319092, 932054257, 984890464, 806855482, 417809640, 177148459, 440058847, 539278363, 653060463, 955068168, 593253126, 887756207, 787136554, 361893918, 354498579, 150772784, 31699000, 84003374, 169566356, 429598682, 87540963, 71516326, 447912785, 792729602, 848795911, 944124125, 251091054, 590379615, 237696705, 287462036, 417933260, 848542971, 487557133, 74428201, 485713542, 513593751, 336148722, 448567158, 290922947, 939599864, 299746508, 76523942, 75042446, 736253934, 994781062, 171272606, 699574402, 435585880, 851279441, 652000345, 474764919, 397625217, 163742404, 693953240, 861222428, 88102557, 986263237, 508710000, 991568119, 578697098, 193714424, 387517530, 992330945, 63610347, 912565908, 990635183, 290701184, 454301595, 403512639, 70307908, 857107123, 762394623, 841902486, 666159582, 366230066, 221898371, 542082790, 854669158, 965136461, 202492638, 793340909, 690142410, 231776610, 926449425, 910977129, 230300040, 750549056, 419675764, 110247652, 945269000, 970911039, 63396117, 424771911, 741862566, 231717581, 266119486, 326694898, 745798081, 810752844, 230616021, 254245882, 186054504, 807808752, 453254538, 328163355, 713796846, 711538019, 551722277, 923601592, 396731197, 197256270, 231184816, 915983645, 484609966, 276340230, 664565909, 555698194, 741410215, 94295545, 245588591, 933569526, 108396010, 72166270, 957300702, 673149963, 688732366, 601669809, 495959351, 701770904, 263323826, 275253286, 124367722, 2734600, 420488510, 80913777, 326269489, 106918400, 613319399, 934400777, 439737807, 680376019, 799638715, 707167213, 955356673, 157012925, 551588408, 419059661, 873550859, 491599467, 941527032, 727612131, 139892498, 949157918, 757483275, 624436025, 529363734, 143406928, 909198936, 748072490, 634327877, 18104425, 379430137, 118084030, 827048088, 710799903, 623524562, 991691175, 358492755, 67591133, 241090140, 503549537, 457175122, 350921434, 750497064, 64988700, 859336356, 237058357, 137144775, 343793704, 326505408, 497189043, 892983307, 237131281, 935311269, 359309429, 80239012, 24801479, 501307990, 624878903, 265940849, 306422625, 52500088, 482848509, 132717108, 921646677, 513754830, 439585270, 529799753, 245920117, 657433183, 387778822, 935556434, 377164569, 773224679, 391455270, 917325682, 805970655, 22766151, 531614558, 325602180, 428727683, 343339065, 326973139, 75700361, 914606244, 952587246, 515312109, 145961359, 997273968, 144564614, 908274600, 726530551, 655006923, 788305502, 473829797, 678169028, 813486710, 742409090, 248239602, 239286729, 343829113, 73181693, 596205035, 399138277, 449901593, 653701684, 851323690, 812905215, 536834390, 251498622, 191559987, 429210439, 333664263, 272405973, 243333569, 816625282, 394969278, 526271870, 157390056, 823739262, 174032266, 53097163, 546286788, 934054524, 606528329, 604306554, 123031184, 66519386, 935274240, 322720622, 461829036, 971124327, 283023026, 313003892, 600600973, 619035885, 973374058, 39825, 200206299, 42347269, 73732344, 273228295, 532791109, 847358537, 361338355, 371344527, 376952847, 306044107, 857936433, 257853609, 4139262, 880192936, 946227645, 277191246, 984270515, 384483395, 554834928, 579025521, 279133744, 44418629, 177523319, 933508740, 239194651, 224648962, 956979983, 555467453, 221553626, 332609125, 914506387, 115189144, 119353705, 301683539, 925350999, 985227683, 828707860, 293511065, 721566560, 841822295, 889991993, 404259123, 787204592, 512681495, 459844120, 114282188, 254653429, 211636413, 555080057, 469882947, 87028688, 221499898, 17167209, 516576539, 547609455, 581198527, 857996296, 653031600, 679175475, 747692458, 755721184, 725398568, 747772763, 345131604, 617778793, 984802228, 658791631, 533883228, 989469540, 362321013, 612477206, 563470021, 417577705, 936512024, 246856648, 167541860, 186272290, 734169420, 941479057, 523255211, 862427987, 489019477, 549742769, 629794235, 1145583, 564674985, 459175465, 341343488, 748692303, 391698902, 759073987, 214827023, 225939692, 672683471, 260578935, 602733683, 946632319, 3911113, 534103402, 449077264, 132129961, 389758864, 671513637, 439904258, 190170600, 685417699, 139894268, 258040904, 200334579, 693054931, 895493180, 114454729, 8972787, 341758372, 26343267, 555367778, 690765421, 580958384, 337409685, 149366458, 276875064, 695048460, 36518971, 734884482, 831110138, 764364067, 86060433, 299543698, 636158625, 720725846, 160792987, 88725375, 923786212, 657934936, 338469792, 834367976, 156012032, 388862765, 493568946, 373442644, 748626922, 992931962, 79694534, 132985725, 431510537, 60233134, 948127898, 457540049, 345597233, 985695178, 780191773, 605334852, 632780312, 48939293, 273148917, 120368028, 516598947, 785875825, 551225051, 287247270, 218549497, 732195266, 970082344, 327083142, 329278064, 701551283, 161785731, 587128510, 821944980, 30556133, 273212081, 827874491, 577829261, 253863588, 716825404, 149417073, 212947487, 393458078, 570170768, 158868666, 21531319, 416836166, 94155425, 375415448, 848378056, 64156827, 291416978, 666546806, 909675659, 495715432, 586548240, 881674190, 345839218, 143007099, 327952575, 856311612, 976111976, 625108241, 76989415, 651451962, 273090621, 744577107, 405200504, 176434506, 956103016, 248645083, 390437760, 867778426, 19834824, 181686803, 372485690, 189284301, 526122275, 572375486, 503178770, 963761103, 971635904, 276050488, 393037525, 754309357, 680312567, 596724844, 719467883, 614914612, 905901249, 377493859, 990639316, 154190033, 670432958, 274367469, 313081679, 102418800, 26694346, 185660012, 218877287, 213852814, 441499435, 72566398, 899972694, 641963663, 580545800, 990874750, 199883995, 351599201, 487131143, 457229429, 404670433, 4933619, 898026554, 703484347, 535581311, 9286018, 144353800, 260261518, 566325691, 970513587, 768310366, 889023785, 173601812, 535956854, 455093153, 87811404, 843076176, 473985374, 420067528, 990636626, 740993649, 157246543, 188195900, 712200246, 374142337, 901937928, 26928655, 653291552, 579185920, 277247977, 785834624, 549113930, 517204936, 498616755, 59710653, 286059960, 964334576, 565856428, 6669806, 352360630, 965718402, 805245336, 243698995, 523587938, 577110944, 689588996, 331265609, 451742345, 788536690, 947479573, 871534312, 719926444, 233402639, 238195113, 246449268, 265230572, 953230183, 491446333, 671197979, 7047587, 16671666, 240888335, 140062060, 706895620, 748977270, 492530109, 434987277, 337162560, 470316883, 933383345, 252244776, 618959246, 827493296, 875942867, 970282902, 626057245, 96970027, 849099662, 772759510, 197098674, 306681007, 709803829, 836488570, 273442000, 115598660, 488702261, 870194750, 57652682, 997416473, 529183324, 75867853, 972531095, 625177687, 184421291, 330967023, 664200861, 358399965, 604445608, 882599504, 752623657, 496937357, 59750851, 621788307, 635789161, 275679622, 827635235, 289610650, 494972688, 258562653, 737295809, 226287271, 645231611, 75192320, 572911455, 60717784, 978696221, 682879037, 677786264, 948675474, 339238334, 589041248, 549125039, 485298582, 883874604, 864965847, 765296099, 948768527, 30104772, 454492007, 914855627, 861330003, 842381341, 226726667, 929845260, 980551468, 762214052, 489320256, 798487203, 662900436, 469331233, 161680823, 417168944, 669871431, 127392157, 250111371, 35246008, 126868351, 93711287, 305079419, 479688972, 304702453, 811415452, 658185243, 845080895, 85843304, 155536938, 118173224, 315968584, 766146962, 638927549, 813042777, 855183675, 271804840, 40717076, 885105410, 899857241, 434664830, 568735871, 657738442, 737943427, 328894351, 301572190, 696956033, 921457996, 561507911, 179689599, 985087370, 113010601, 341805605, 388225361, 829519317, 417724430, 699915482, 647193869, 987594114, 453600658, 266979551, 447159341, 877716100, 925427966, 300958648, 518439270, 727859569, 103708812, 28678347, 180676360, 171236096, 894703194, 92730318, 330297317, 91761973, 299039419, 148694167, 183039391, 748013797, 384273839, 845895751, 248195479, 18678431, 910423700, 413743872, 640810030, 33029132, 759135589, 949820960, 707188691, 127782889, 38798486, 470943920, 479633874, 702175842, 455659636, 126615266, 914983365, 132614214, 110470652, 761578387, 406060959, 11665895, 945773959, 90172252, 231781073, 493975115, 431388485, 905854703, 887223348, 496936186, 907649222, 584330727, 947129128, 203553671, 131425463, 873114819, 55013211, 407245658, 214762788, 365795404, 306691043, 568516961, 883138457, 417862974, 103583370, 596659562, 230376807, 676145482, 124273327, 33394490, 592164444, 602580791, 38801531, 556212389, 458194518, 622410982, 69369731, 653380598, 136528398, 618185117, 653364674, 513255390, 623933430, 442731736, 30561095, 981128012, 366784173, 159083276, 497651837, 175107924, 580012839, 547417685, 253066693, 288801627, 534234275, 880706689, 300143322, 564726276, 275553459, 406040272, 254495329, 987048813, 64676769, 441978557, 18678310, 525394761, 704736501, 432613354, 138851392, 122731129, 268766057, 569006584, 92775041, 948529335, 457619443, 230544756, 368515958, 342035753, 544229607, 238065117, 778089423, 806268241, 804874619, 263830987, 796610254, 117971509, 409630931, 829234682, 170183232, 63611100, 290135020, 525840971, 841288283, 95450998, 331723279, 652540450, 145016640, 78754803, 499886419, 374588182, 763217486, 72985237, 631031776, 213628056, 537188227, 306985253, 270297719, 497551303, 130823181, 757229236, 434626408, 719231760, 2107453, 970337367, 561391641, 19862835, 926180724, 407224549, 599014735, 804131798, 187969252, 731515992, 576234532, 175091503, 847989924, 39441746, 144149740, 399059542, 347267207, 576982081, 773749599, 905394895, 762226404, 56316634, 694295387, 746469779, 588676842, 290428562, 881086864, 474519769, 395301284, 994260220, 219811629, 855669593, 423365268, 74956469, 41087431, 676564891, 774949322, 596125750, 361071408, 293807262, 59431982, 662741489, 238317414, 45635406, 78701409, 848233728, 389037534, 131990294, 385753469, 894296061, 127964148, 6961099, 926257214, 13606838, 288864832, 580484331, 328777804, 151793963, 46476220, 717619171, 476688550, 290763997, 133169100, 709318920, 817205736, 371308225, 216511838, 654058190, 766273647, 784750066, 82277349, 659157946, 671372437, 579478278, 661691965, 665452412, 940904569, 378404277, 124143660, 285540609, 445198491, 715025402, 850832303, 805372353, 906635976, 247592222, 422041744, 339962339, 685210079, 294849456, 969554398, 707248416, 415851669, 657166265, 551379698, 519306776, 942357103, 479494570, 330541528, 707175884, 889531663, 765718562, 410643499, 411120600, 341595009, 857973460, 426088457, 312090874, 233046156, 102203318, 483072844, 70452268, 855440285, 636070837, 289213814, 864401731, 614773833, 309532466, 136241264, 909955027, 768283164, 398899747, 143498127, 10298813, 638856350, 859305241, 988444009, 553679392, 475625993, 296683191, 899546659, 862473069, 965182355, 336080293, 406807507, 206989007, 111164919, 942654374, 790947806, 29288221, 308781338, 386575578, 345191776, 441499348, 656157602, 45399575, 12743002, 896705128, 427461829, 506017903, 413800572, 367078252, 755163095, 370222472, 32861513, 217123679, 665714528, 778019878, 435751675, 5396732, 538597818, 309296166, 427362408, 723109521, 205558549, 10610330, 157850236, 422076531, 356313780, 344014077, 834857092, 531728948, 586868394, 777699105, 650567871, 142441761, 40357451, 865195956, 25812897, 543373533, 272215813, 894545126, 506504452, 941189035, 270508314, 691194995, 107465562, 444367467, 292883603, 26355706, 631607108, 695896801, 823593707, 902125059, 723540215, 165724695, 820874619, 1119028, 220427679, 944854213, 596428505, 297812539, 487328974, 768779587, 42776395, 140933790, 806931407, 199274019, 410057843, 346808765, 11902656, 343786525, 235822876, 68536062, 813750181, 739344538, 276362132, 290445247, 973832303, 161741708, 945622133, 729389152, 647446385, 62055997, 951971572, 269529971, 861423586, 701857641, 646959077, 849836966, 221631558, 387410648, 737522450, 928832683, 441161933, 623747643, 161135186, 679325491, 35263619, 34331665, 296900038, 315174268, 709532697, 857444952, 72512175, 615048453, 392760515, 251000549, 851653551, 812811299, 916002590, 807064686, 352749903, 769492970, 403130321, 186472067, 358201062, 622150681, 102217839, 634077878, 112464426, 678527775, 424136870, 612871883, 624841866, 176953403, 32662543, 242967993, 413587288, 407687239, 701741126, 170231212, 90688079, 787374492, 170743596, 99814796, 522138546, 197913327, 634617715, 409077045, 23232132, 710881604, 979691352, 335427626, 130980036, 376549076, 363894247, 863224224, 39887408, 947612893, 591537483, 579071448, 547420641, 176961251, 593533372, 100710319, 197905558, 549243433, 487560458, 856012353, 92858828, 268031614, 106561053, 292479019, 137705667, 38404934, 263993986, 270623413, 252996443, 261198080, 81505637, 483192496, 822114071, 417973381, 12363819, 983149243, 262883037, 731770525, 748984846, 214008342, 997477368, 21451837, 82987402, 246417397, 539365511, 303200603, 571516278, 213313155, 844034031, 27068144, 47654270, 704165313, 5384975, 885909595, 685370629, 843713832, 138090601, 642299875, 369579267, 203249845, 897606310, 406097082, 461930214, 193067956, 158444122, 369010689, 102676234, 719861112, 454469117, 242335545, 367778122, 124727016, 408437834, 717868072, 811828370, 449685984, 106915902, 675324413, 67966548, 958085392, 983324420, 846982732, 799102816, 632107202, 812521382, 6998837, 220467774, 523992766, 552145359, 992499811, 243564559, 176672883, 286572572, 727676748, 171912138, 1645269, 975209769, 784444730, 238364676, 161502667, 643555889, 603667075, 161313498, 561586229, 784095248, 961994337, 199183995, 112401305, 733356380, 164698451, 943972660, 465760920, 937304417, 482886930, 787641689, 487364624, 492325445, 560881066, 626720879, 478409260, 442604523, 510307711, 142144579, 517667013, 225046983, 372928109, 109478568, 5788372, 133723643, 331658583, 630888125, 949172858, 691176458, 244567106, 440356186, 454866234, 723047150, 589394822, 568253074, 379032528, 557491456, 337743229, 399478544, 824716973, 543623412, 929415675, 878487134, 717395207, 766758713, 463256069, 416147906, 692932119, 743175440, 640141727, 195213756, 283555840, 503475194, 31297715, 105694466, 561557824, 603800342, 264398298, 118003881, 229860239, 242685699, 280313003, 261067443, 975932615, 612370496, 893616279, 114660049, 189880611, 836947636, 223925977, 694134179, 61714093, 103070592, 256755548, 690693090, 744634665, 669541531, 364361776, 781067906, 359337672, 524759852, 681700560, 911258055, 258043379, 266175187, 985376969, 973589039, 810404231, 686681047, 344323092, 469777972, 781698442, 883768045, 511900378, 403479762, 612375921, 458905518, 84941273, 332013534, 232007092, 467249726, 954843340, 578832620, 817841058, 444936974, 238492450, 531495949, 287668354, 675127408, 646579508, 80899172, 47710479, 118710441, 529475683, 697062486, 499716447, 140216163, 579368545, 207863190, 454328013, 631060148, 333526232, 454390932, 578440410, 886593987, 407485147, 82803372, 872483961, 172429053, 937714213, 169899755, 912122690, 666097923, 300399522, 145558576, 322040263, 661984132, 869977213, 77359005, 204741640, 625345479, 897462625, 429576551, 818925970, 641675195, 509518216, 486297409, 935212456, 255407310, 46810908, 124824973, 701999199, 77237166, 743433009, 825580231, 737510583, 869565914, 207196350, 239076253, 160854101, 703726033, 596463714, 482311055, 319622580, 251834275, 438756723, 798803795, 930329819, 653482262, 583085529, 429994051, 164509089, 524286169, 96527711, 273608107, 679359232, 461050380, 711903291, 957720900, 794623679, 247518526, 210325577, 178762415, 293406800, 572166436, 299455134, 644264207, 51068042, 358068888, 438503499, 583907627, 660873371, 153415752, 654644497, 673441363, 274571347, 932774038, 858751290, 907473082, 770924045, 603891004, 543392381, 72989159, 144240368, 464481639, 567576461, 208811886, 110025818, 344615131, 504836743, 689126601, 549317663, 256536350, 495055434, 637044827, 755680189, 710441033, 147463796, 72866024, 198066979, 950410639, 536920136, 817741101, 758811627, 894788114, 71371132, 203049376, 469348813, 244252933, 112978402, 593053730, 885617757, 251035480, 54924876, 976775716, 584502941, 845294171, 859322242, 327093806, 300595057, 762742782, 521255506, 366648418, 892252027, 843135189, 336375028, 87809245, 277515346, 423947390, 670011693, 602620390, 988534805, 100529074, 297622636, 128738783, 344608450, 518154926, 205357396, 647386568, 11413129, 273815071, 605745772, 535735529, 780955902, 238803305, 72160722, 488308642, 254210590, 719264294, 919889283, 282888952, 764466204, 84447424, 562552172, 372458069, 653243988, 107784996, 777947740, 525818672, 711547447, 610787417, 801221002, 889581736, 948028183, 841614516, 983296831, 187685710, 977272772, 280635424, 961847129, 998115970, 111650337, 570073136, 384637571, 797638626, 203603489, 875974552, 840444424, 5022121, 214667817, 422601550, 700425990, 950332521, 359699644, 477349096, 607903255, 408628230, 454876987, 925057165, 849290208, 844265666, 110547659, 564221413, 633072914, 459626433, 756990032, 247348989, 594762037, 251297917, 579784396, 215609723, 359577477, 429290021, 415521575, 220837271, 953900640, 438301732, 713833296, 65149534, 698800827, 595362851, 494746879, 262815013, 144840150, 265189890, 566926127, 76993334, 898333765, 17835830, 452704474, 301650402, 663567847, 428298444, 253914148, 809191640, 535886960, 479435984, 844894150, 487345423, 933498496, 181134868, 125345268, 42389657, 131653715, 807251423, 75043296, 192499230, 950313524, 249016569, 433675012, 413811030, 585822183, 609598034, 998802123, 970786381, 88230554, 855761103, 715802736, 741668651, 199019742, 300470243, 103541565, 46958035, 949825512, 19901023, 665694592, 398101488, 360291240, 479347567, 740914572, 325984764, 96515375, 391140858, 760356982, 162065718, 514902097, 13446798, 934842282, 47446945, 643481845, 650916997, 274827440, 60466703, 46039594, 622732027, 108310410, 374054937, 232598898, 463676976, 689682400, 726709547, 100101887, 759162856, 854559174, 970209121, 711617925, 223297725, 200010650, 855372343, 266700872, 186143668, 861030039, 578932284, 136075211, 13860939, 264400199, 416497929, 267037432, 83928378, 334419797, 51877942, 475756272, 778643761, 567767252, 279837233, 31567238, 936661748, 705028642, 763003623, 689505706, 907169773, 526676541, 981787899, 707360774, 305123579, 362150653, 32104807, 43551195, 994610608, 507210610, 226904779, 801658538, 592341185, 196399429, 763328448, 91766588, 961581196, 275225487, 610108454, 593106130, 566955320, 721662006, 692080609, 671707026, 416583738, 630245801, 124823101, 374487246, 248869401, 449615721, 257812372, 265633643, 390390413, 586517514, 546500372, 134967171, 768898918, 818241403, 45291630, 472610130, 390205777, 670852219, 167555627, 297912798, 770570567, 189748836, 108244698, 71445472, 91384760, 477716838, 854112346, 735945341, 378570791, 839134244, 275391526, 648385503, 911909974, 497615668, 186615245, 91037685, 592780235, 853572035, 9797248, 342681649, 164795852, 813142915, 233984455, 871484828, 428615449, 984751343, 814144315, 511943614, 468913955, 14762012, 473617234, 797719504, 634252201, 181911721, 536374860, 102497828, 790226011, 961068722, 908762303, 192125859, 5152282, 304090475, 617042054, 333542195, 329466202, 740960306, 655430558, 126815976, 498936276, 695104874, 955246424, 639659030, 137529027, 81802103, 232412960, 701096386, 974449929, 270228346, 186699289, 609632173, 487581217, 743996948, 985671186, 332634022, 485147903, 581478281, 219301122, 214850589, 475346600, 163073452, 854253371, 234509338, 496502069, 468855818, 349503909, 110610291, 381766387, 430080980, 842068923, 810841829, 10534682, 947195913, 844034129, 388075488, 512926636, 769590924, 641646561, 695462610, 27217796, 741867446, 650039840, 571763822, 595958268, 989627691, 942041751, 488620850, 906725490, 738659722, 171561129, 270150340, 157114286, 617892299, 196453740, 159775636, 294108940, 908735610, 781733846, 822314023, 236389617, 403793850, 603083633, 150720172, 504899484, 56707488, 757139369, 132591128, 854594007, 321310475, 96085648, 542789368, 523808403, 191853681, 688341705, 961825771, 44470840, 922087614, 110671299, 423160459, 907832378, 482389967, 126433630, 96027281, 58882129, 82663174, 601514573, 762275316, 971256592, 425337727, 668207519, 799665504, 234432250, 627014335, 575123149, 798932362, 76338584, 965156190, 176550005, 613917587, 546869503, 343050890, 424858864, 447827426, 347840103, 378296488, 136556931, 70633094, 846911428, 777655324, 991601292, 455291915, 789130000, 54330637, 837202109, 414406718, 993938425, 858559165, 703477429, 100808944, 77327735, 928953259, 561548283, 623227478, 951048234, 365643641, 252818517, 167510814, 587699923, 625586777, 473445632, 994728525, 284061703, 618756217, 816715560, 195231343, 421210632, 399800135, 694306088, 867095275, 74757158, 706512125, 866273470, 823656937, 894998246, 946362500, 189757114, 763717318, 445776142, 704467706, 516233296, 826183297, 570029020, 45508413, 399693792, 487298899, 872720635, 519724819, 605201757, 297021988, 444368982, 791740706, 592337095, 970969186, 257972710, 34630406, 983503446, 958825765, 461389725, 516812538, 249271600, 607004560, 167402967, 745492167, 196462803, 593822841, 371790444, 781601286, 838974108, 60304934, 501954236, 892339806, 695512128, 448888016, 844962805, 159162079, 31990836, 74774561, 141762230, 985045977, 85428377, 631563270, 79263494, 122317028, 83091838, 487472966, 177744204, 658507978, 481550271, 671728345, 305355193, 278568645, 502350920, 408610745, 568870957, 904104068, 733082030, 899456087, 200404018, 815058429, 171510374, 390681569, 480670329, 239521505, 772637339, 762848247, 26204659, 490997674, 153497037, 302542444, 547208525, 855511510, 17138392, 277672652, 74312849, 105069448, 483708873, 564390146, 711522650, 581005579, 466510771, 674519362, 173665206, 774365810, 976059071, 979769339, 261729816, 276408921, 534494439, 912640083, 880942367, 744850414, 373264082, 74809778, 989715410, 814604227, 138669987, 65617468, 283072707, 655117604, 290440286, 547721166, 799753590, 130111264, 764268253, 880385360, 438926761, 191066578, 744889889, 510646920, 35113863, 669821795, 568044641, 502992385, 844332774, 720124923, 935836626, 141884343, 83388794, 240776551, 673604019, 556412816, 408495480, 832511325, 864094512, 177093337, 242878916, 146080110, 706429040, 742829728, 517372071, 802578300, 30021023, 721027265, 367952682, 700566292, 337412108, 921065223, 2134172, 809038105, 179615095, 854005182, 650837734, 76771753, 944366236, 681807780, 94304479, 886226586, 979297603, 91047196, 392854741, 156791855, 60413431, 211564522, 142778973, 114485690, 504550092, 635733822, 518684238, 582214388, 319006625, 355831293, 286558341, 126340568, 940496988, 507180674, 763622231, 216451034, 837564003, 496021460, 393563231, 683175185, 975147219, 888744232, 937136627, 558018917, 141731169, 159826664, 512908375, 140343606, 473158324, 996338101, 592530785, 27061833, 250500901, 536192559, 69167655, 12488416, 276469737, 230188923, 150194085, 308567598, 808723012, 540153921, 635674218, 34364258, 573138692, 840083591, 246611605, 195674985, 322082282, 244902852, 254271007, 959404815, 374370074, 826457376, 617986086, 116498511, 57472933, 972365849, 273791633, 455945512, 523848134, 690680406, 824296987, 154743246, 238173559, 384393062, 28365134, 232912843, 300847628, 357572239, 889225029, 226717400, 52107095, 405474347, 427066161, 79890213, 103008317, 343414535, 210740736, 604262010, 679861650, 958056075, 946064859, 362162542, 221470715, 457854510, 118285399, 381566030, 792770094, 18934426, 142471862, 311487466, 836564918, 572520080, 671483489, 742321783, 687751958, 97064296, 756175661, 241019977, 154957972, 775471998, 304130498, 978405073, 501615246, 631332944, 64651642, 641029548, 660936550, 714033081, 500707835, 349162421, 644670177, 771160647, 872158566, 59207420, 671681386, 205747918, 518145722, 566827151, 34434070, 979169753, 559716998, 178410760, 100358641, 201318003, 439958104, 914645294, 233640120, 363985409, 840947238, 564881364, 257260688, 623440134, 688218924, 424506755, 638716814, 391362324, 600646935, 663237090, 694453177, 444767053, 384869803, 163063315, 425525399, 227105528, 94246437, 773703429, 49415571, 136116233, 400274283, 761034313, 220459831, 518975605, 435626073, 503711042, 224520753, 172158033, 169688476, 900391298, 457214657, 671655332, 92602477, 980673671, 404061464, 935534236, 849913394, 180425345, 934883624, 61880852, 645318303, 146641092, 86538392, 433500179, 359787803, 874144540, 139718242, 854425290, 23420694, 660818224, 644037340, 313731579, 218062397, 102161569, 28606413, 759825581, 248199165, 586678882, 914699551, 452648297, 515957833, 761562738, 233162044, 346326984, 853862644, 830841070, 425014203, 562235498, 49060902, 553788784, 640501662, 108346074, 220109081, 939152917, 239228713, 751798769, 226135237, 140376977, 399425437, 268426567, 764260268, 916098316, 809768337, 716730684, 681816095, 783870310, 817266580, 633543718, 860295118, 926929740, 679169149, 18285285, 687416226, 10675125, 655258309, 327587502, 992508473, 776465403, 423853303, 490551611, 84446753, 960494381, 959501583, 593455111, 434439739, 168520694, 1727406, 908945848, 803095277, 125371173, 334499687, 426374081, 902787252, 440197190, 333120704, 390014263, 807200810, 484971867, 157120824, 283844808, 90210200, 947611324, 494343818, 587813812, 274427504, 852316689, 667398766, 346655400, 740140061, 509352436, 636311733, 793205157, 183270123, 528821580, 83135772, 29784188, 353879407, 698287736, 463055531, 564759558, 261309523, 348463154, 188680933, 278609499, 288812098, 850382605, 978769896, 689671583, 370541353, 815874615, 42891369, 670704124, 988952538, 361216582, 200377097, 600601899, 403660617, 603939276, 145915267, 806932541, 353991720, 222739090, 368586496, 173009804, 541341575, 346398930, 233248410, 887591769, 755018233, 972094345, 420828019, 538842465, 251467951, 352864990, 895353714, 827680807, 381477155, 602468267, 937358463, 432578363, 389537277, 876644867, 771044036, 734977046, 412657570, 760256673, 3778120, 11409995, 62626762, 691073698, 807698748, 224926476, 129902797, 656649283, 259687750, 741591549, 595472273, 444741943, 80897351, 768544839, 596249585, 695134512, 651476099, 798592604, 459952429, 49958669, 679208948, 95615299, 940424773, 945722672, 910918817, 77983391, 98843349, 421638127, 489044821, 870903145, 783663356, 309232266, 609634888, 442417798, 722235924, 602236470, 752705151, 780987207, 743293532, 768550702, 674024795, 211633468, 353267069, 2192426, 881314049, 33473358, 518139082, 952775281, 681579622, 270065564, 616703943, 246953786, 428995132, 24565273, 167351238, 148186602, 174685767, 52000683, 476069772, 361436109, 585231658, 563618451, 469679252, 5357701, 89196354, 519323895, 685961090, 673888732, 286132475, 828058982, 112822276, 946475689, 257905571, 513023089, 984656276, 262605252, 779796802, 234689154, 329092184, 859106879, 474501900, 833568449, 993043778, 18201492, 529381955, 566675611, 981534613, 467270010, 872478329, 587798813, 879023023, 374380701, 670120309, 420572517, 346193120, 667691642, 586359520, 760217374, 191071261, 621641053, 194159506, 155133331, 995699089, 373945392, 760431064, 20474637, 345412485, 876654472, 247775530, 21134216, 292794244, 70881705, 17033248, 916658589, 147444337, 89432692, 414386538, 881071270, 547837434, 473533446, 563950592, 431464745, 973951109, 540099399, 297605937, 855141676, 811451846, 340000763, 95076030, 850913523, 429587891, 430009729, 671013372, 390731447, 347090843, 205520092, 108405652, 8610937, 898419346, 679778687, 823005918, 435834196, 666083490, 813686475, 657076421, 96022775, 511309328, 259539729, 586430999, 454335009, 51128306, 163494169, 798637904, 663557173, 641640227, 315750491, 300951877, 103033855, 558307683, 171414822, 547080870, 130034656, 139351265, 952833102, 313882127, 23194626, 723498128, 670016452, 863901018, 65330993, 149852124, 46095124, 966692630, 907631208, 179131687, 782141004, 739706942, 921071125, 580715527, 494175560, 250520200, 947503187, 935725320, 624974152, 932145690, 635108473, 583925009, 943993525, 732820609, 732185565, 205759698, 971483546, 818437156, 883818758, 648556857, 160853073, 347972701, 411936259, 342610326, 1583739, 260789691, 705388948, 411638707, 341823653, 201611905, 59596742, 19420395, 829664336, 101542335, 926730051, 647207668, 822562499, 830575229, 357823481, 67082947, 841007040, 19199736, 629848131, 785178192, 664795997, 650479804, 144711375, 969495797, 201903980, 469031270, 101126290, 601811841, 414972091, 707938410, 134643942, 316648721, 932553373, 196677635, 135823324, 285873888, 314258620, 849644979, 372485299, 144800388, 636534857, 486838965, 718959822, 609313283, 705527210, 386171173, 331314174, 927358422, 207060650, 411448579, 32060993, 82457790, 288165960, 569773236, 353415590, 489710214, 64054706, 662995368, 317744951, 133556477, 855690340, 76844890, 349078405, 636207779, 623873857, 986020275, 642789184, 775474463, 652034446, 412764484, 974653379, 219073536, 996179841, 579599740, 544736897, 622116016, 752676433, 253468856, 908940458, 631694511, 115245490, 961194666, 636914407, 120024094, 191172505, 656609393, 439224085, 662729348, 447492693, 546350823, 549068015, 255372250, 507793347, 168052206, 858606855, 38444516, 921628436, 509294223, 828094814, 850712306, 483075159, 349290839, 25623876, 748647883, 29941391, 862166371, 801032138, 617966500, 820599758, 3845746, 966326335, 777675275, 929792510, 480798239, 363340941, 800229477, 213124118, 206806288, 131423021, 2281237, 97345993, 240648033, 389015100, 997747899, 356757178, 821534044, 594625898, 54811103, 39965058, 853597808, 241375544, 574128743, 11988362, 908582406, 385618665, 157134844, 738833123, 613934601, 384663001, 322510831, 603178342, 293491005, 460701176, 284882285, 729110766, 42822167, 391564854, 562866607, 162115114, 245214488, 246562286, 691170784, 954382783, 678736710, 806486448, 314522524, 93013353, 599971230, 652909220, 964715955, 537175757, 445585318, 594260771, 843813462, 106748220, 716660103, 215228868, 200074526, 523646807, 597740086, 632114762, 972274742, 835482772, 703219355, 321798326, 434651574, 517812114, 204509924, 20101817, 227375654, 945639057, 926993978, 892140081, 33971387, 54769575, 343017605, 934533237, 652359679, 815572911, 946344014, 672916635, 246297237, 849036821, 914611642, 950759803, 859713779, 929340752, 654393783, 554300867, 336981082, 483922886, 248419390, 480989368, 417067735, 762990504, 835987161, 414281166, 638817093, 327949304, 6159449, 107960857, 850376189, 962053620, 99700399, 758889168, 988237055, 768654083, 631850309, 88507752, 96261689, 366891115, 68309398, 408303516, 46761286, 54054152, 749430428, 634462018, 487034145, 486095792, 293671586, 151810236, 112682459, 875405756, 407312380, 873856218, 903341692, 50900359, 643802165, 146511745, 308666783, 808686714, 297501769, 695548678, 843896752, 381994355, 56600070, 182654381, 573560643, 841926965, 664020617, 560814054, 172709570, 681490423, 192108237, 303946857, 60149072, 987681057, 604468031, 457280141, 277267148, 533965698, 800619727, 76691781, 92257236, 337794491, 239052716, 626317700, 399510502, 251704325, 670752218, 927152936, 889038015, 626736644, 275265385, 515648766, 19125327, 175166090, 568750119, 625501153, 470793115, 52455375, 801639694, 175190757, 316077270, 523877302, 955136331, 938114465, 726979426, 199636440, 608250040, 108896504, 595174659, 792356602, 463936211, 851690826, 238053897, 392791052, 305774738, 684591519, 135386936, 346051059, 183362569, 75586124, 646353433, 488679784, 832989845, 205664941, 113532124, 450993716, 187949277, 256063970, 337166613, 199202670, 872612406, 553546333, 903170555, 69845615, 660588872, 671122490, 563659156, 801725995, 355501935, 909118553, 939839093, 644663952, 347383679, 253593685, 523963999, 557203202, 826147604, 194666331, 861708858, 87952087, 883309353, 874998483, 91830423, 897276229, 129328519, 72811858, 770422665, 461455678, 485809884, 494883436, 837186598, 373830270, 631622730, 773475492, 275179508, 650861145, 355000439, 91562598, 629646276, 552922439, 713183278, 240019971, 175753795, 635093383, 584349041, 924850517, 54904519, 376147794, 210923883, 509987679, 441078164, 827377036, 698866406, 587171652, 575786123, 31433110, 365428766, 760895433, 43030326, 347978337, 886647197, 512325820, 691911219, 404955085, 289301521, 520045940, 237563121, 184761742, 89310806, 64570804, 952769912, 182768669, 819422692, 110269467, 527506347, 893625949, 143027389, 24016234, 199928619, 744422043, 702035798, 712667944, 289662759, 964554929, 933993721, 417058552, 210486592, 481812223, 666167156, 873934605, 411519672, 852799097, 515744464, 480268034, 16742969, 878069178, 33913, 648360237, 336920253, 220617059, 574545230, 566016563, 505981993, 643030446, 695159288, 255391908, 23004834, 176898507, 618476019, 834890391, 737275058, 417092945, 747097167, 834541403, 210034475, 216034830, 379246087, 809542926, 29333680, 292639856, 383070222, 570221408, 530397967, 887534051, 328850434, 15819775, 572402363, 47665037, 521758585, 623235406, 559513937, 398928652, 912874491, 932348188, 914108299, 727804030, 999497402, 113000817, 568451540, 798657516, 64214238, 13480936, 433132202, 730799475, 546728116, 823505447, 123465792, 833277600, 524947339, 935537821, 408657250, 445931457, 227996233, 111001807, 607457728, 22556178, 412910714, 647256143, 682939959, 807986364, 453424801, 155355381, 853278697, 868267312, 671536125, 716790991, 690718391, 24556365, 800422475, 200713387, 776949842, 640329486, 539718390, 892073081, 751106587, 465603578, 350979859, 392774049, 737668400, 337781649, 570031836, 166894659, 213634696, 621884176, 101687818, 647970667, 32660175, 407636294, 751408893, 898195838, 925428591, 491078134, 263892285, 693472314, 647131976, 432943337, 475860198, 741421708, 654638364, 409628361, 598518393, 276826709, 397764515, 829935787, 932166470, 929454380, 291181797, 239800944, 656409758, 828442922, 218293656, 715363236, 395858827, 656528604, 376428430, 910174862, 382446756, 816261707, 474529246, 254393697, 850736311, 814969485, 76623738, 807265106, 567179003, 852666402, 26368387, 243255783, 862174826, 437660763, 825663719, 153473943, 673815575, 885346838, 749354633, 227944176, 593180822, 883085309, 679358201, 101516744, 648517780, 558709793, 904250848, 135539008, 985417751, 890798682, 216080864, 160707469, 212818325, 936020194, 301272013, 917294257, 317856443, 845923707, 743588957, 452575338, 377267369, 180952367, 66228360, 637335141, 948476637, 273905796, 174664111, 775529891, 42269585, 389061649, 175304981, 791483882, 551138888, 981290016, 933465151, 136041626, 970828595, 881805865, 530659302, 131673355, 468312513, 966230113, 220075904, 574202430, 683756221, 691183272, 153652951, 391769245, 424822563, 433437484, 50033463, 582763591, 253174742, 497131125, 714012973, 544521248, 328421815, 259113998, 466040839, 361920263, 173139588, 137616624, 400261575, 427515164, 4512961, 626158842, 34495521, 938588464, 756817567, 112550928, 304678185, 47448887, 585855690, 709244664, 543616341, 507125650, 595913468, 392626496, 918477618, 303981209, 55545944, 327167138, 796348769, 999784642, 143124515, 869754010, 167008457, 540184879, 309886119, 810775485, 580121227, 621495520, 877405498, 978263781, 103176482, 521872626, 329576518, 21608418, 429930262, 61735471, 149962604, 707910970, 469969808, 809872010, 472286967, 604093798, 425499879, 937162693, 422644279, 128594315, 204673093, 102980943, 835177027, 502096004, 937961657, 258061152, 793960662, 514271535, 196523326, 541852562, 873091852, 536280675, 941856090, 665958096, 884888438, 887931749, 874413065, 850801270, 850663872, 51879632, 541168347, 293326047, 290895036, 874140601, 621956792, 52275751, 921478781, 941246745, 618333118, 445663310, 77091212, 655318097, 873077286, 267888560, 408025260, 18981265, 353135826, 775806289, 864073917, 603167328, 68268439, 856966592, 776452587, 716263954, 661943485, 526717345, 572613561, 984853298, 51022864, 389549047, 656088993, 922427077, 441440945, 653224936, 448980070, 623140515, 470763907, 599722944, 635319127, 159019238, 529939552, 270046392, 748818360, 14437834, 38036377, 744026374, 733758616, 589084785, 895697964, 308267335, 610700181, 417220922, 268299169, 517658714, 800494851, 790246018, 323437723, 419380138, 784530573, 786311667, 477348032, 886514368, 603053356, 8875265, 923126023, 67859664, 2263262, 81564628, 637668245, 405075398, 530065509, 516342684, 15161318, 679283480, 506446342, 423948098, 429864327, 225407091, 168705688, 822101875, 79145248, 588164816, 939238422, 472687075, 813777170, 209361154, 279961691, 426352515, 625176354, 436604018, 593656104, 385132221, 27457216, 422052678, 599456011, 977122858, 951149860, 134405162, 785476015, 683677143, 616292005, 592876387, 894096286, 788352055, 295190069, 262693923, 512958449, 653249094, 671314977, 563751364, 295612299, 885434715, 958402259, 327361439, 388685829, 190462685, 914374511, 37776931, 109622274, 635931261, 693618332, 737985184, 326378667, 771310969, 72792512, 121082634, 638910178, 738663801, 966524305, 886428042, 903333549, 139867712, 329635506, 454807900, 273652613, 948204337, 306326077, 680382991, 701957252, 709181371, 430040294, 646374135, 743138503, 784354119, 397902614, 980888582, 943024409, 469558249, 537402058, 365214551, 519765683, 902709049, 553352164, 137637347, 907447972, 492351595, 500016349, 853610680, 60210362, 555343276, 803732280, 977608150, 493311126, 667426308, 426868627, 876886125, 976520541, 340188918, 74523507, 231073465, 169232856, 977317553, 763305913, 874597984, 804314702, 365008874, 605724694, 166357858, 175474443, 760139402, 857101038, 880885333, 440492653, 120547624, 331179985, 598956111, 36961273, 382329770, 61313774, 903809554, 945582656, 603250083, 949385101, 101043564, 434069502, 741951612, 916167639, 41246808, 611429570, 796742463, 550610914, 855229128, 433359938, 395193663, 77778212, 741047582, 176850694, 948623426, 952477399, 117484004, 528373876, 126617977, 367414017, 354475843, 67433983, 117429056, 476800567, 886396872, 891911371, 199448852, 441790094, 66946428, 443042301, 508711359, 229056599, 82673902, 232183014, 199336346, 457468359, 422866886, 526609574, 123733560, 347225114, 923271917, 657287052, 401006520, 847395918, 440452473, 63820512, 861323514, 758565543, 371265610, 517960709, 175129097, 117311493, 635797644, 17281900, 429756483, 506461929, 144828127, 859719673, 644796141, 827465377, 580456718, 148887143, 17429279, 907614717, 163853720, 82475201, 308587042, 981207329, 187793974, 926167332, 86726967, 888737798, 67019956, 375639746, 597475322, 786503026, 402902817, 262568862, 960353906, 866336899, 607091050, 590957068, 976463473, 120265767, 644839530, 448102962, 54295965, 477178996, 52989616, 190430595, 52011201, 586395626, 68785690, 601268903, 642317723, 314572997, 891545643, 983947537, 901938810, 736840262, 587774671, 54152973, 214586270, 861629380, 375888993, 792128660, 758805434, 610722348, 652260583, 482882316, 609175648, 884684702, 767347504, 336326620, 980888766, 151313345, 144944714, 160879586, 348325435, 220761873, 292399268, 74509641, 821087756, 249138467, 57586107, 499141761, 681909765, 895343661, 383998405, 385054846, 697772610, 264686654, 537728762, 927037010, 337109270, 45063887, 995195801, 618825483, 58929949, 276959075, 23587876, 914564694, 339702450, 604099902, 393966428, 376107011, 851587520, 890345473, 258642304, 932864771, 158665752, 339652727, 650186666, 270649104, 65197338, 662303000, 15858541, 569732331, 866185578, 223798270, 825764245, 843024789, 101338031, 834345592, 71544288, 904700599, 118338327, 964307475, 594438972, 288590904, 214853027, 145110207, 209897947, 939130459, 421663399, 197831322, 324476394, 583048009, 917410219, 60561505, 641215483, 574952656, 886919000, 816078377, 65318921, 782841805, 747501604, 676311251, 799133890, 976868059, 877038081, 777666581, 739769252, 10136799, 241979462, 722892501, 857047564, 404427106, 832677272, 585390712, 769285413, 906031543, 349457511, 721635917, 927345330, 772364528, 209577357, 555120129, 4695168, 474495672, 143482042, 932472003, 745430531, 458513346, 651362574, 598785325, 353207018, 93314772, 603236921, 979520041, 788404896, 560078389, 780473405, 296242445, 752161002, 220526906, 539137168, 907574311, 403478485, 805337219, 58598089, 878742722, 549395077, 315942498, 749481217, 135708856, 667148767, 259852233, 984878579, 987103894, 976269887, 303403900, 808792230, 600338356, 652246795, 792897565, 650428497, 762615000, 738791701, 688806767, 590832939, 686630628, 507938485, 572952486, 825552348, 919231805, 452861061, 483028085, 217349787, 947455678, 364148776, 56493453, 316277170, 31574773, 595665536, 239736705, 549376748, 316952644, 284495528, 212114030, 813421410, 116411703, 523668683, 786614230, 304726939, 150842231, 948448954, 34737850, 493604710, 731446594, 622597283, 332155777, 364083193, 193205747, 954212009, 117648665, 974856949, 327768384, 330407921, 762849413, 140293167, 434601332, 973565189, 627083534, 653063100, 634332653, 386853928, 116191635, 940640576, 258620498, 114318003, 853979089, 91719532, 692518439, 792326132, 937904356, 529723730, 490990931, 277067415, 86607700, 677037103, 434003989, 201599970, 649445958, 324970611, 999537882, 251090903, 11342933, 516918482, 941334890, 415313024, 95764654, 413128439, 108701547, 368856990, 972235813, 675853728, 669950736, 267662711, 822747576, 945139068, 996580991, 589168745, 359273257, 594889446, 824721692, 390361406, 223865396, 471633036, 691222512, 471409414, 523422718, 98001234, 498086030, 948552917, 489569846, 23669927, 557800862, 692740353, 373568236, 755027028, 982277692, 351987067, 196035754, 61130376, 975378300, 222823560, 242484661, 460401427, 793609977, 537519358, 69276576, 712146486, 307076371, 995253598, 633919947, 580086650, 606929191, 48353269, 783009465, 721581714, 668116121, 153850855, 626082663, 840705934, 594125188, 500923878, 448800818, 185831989, 704189761, 868088451, 380692905, 863853789, 656449090, 324476482, 60254016, 837900799, 452725656, 659128754, 101539499, 109467980, 155891588, 12668296, 450520351, 707603304, 762377913, 118543020, 819422606, 224953226, 137940282, 157114551, 688954616, 248333325, 912805632, 98708017, 651095395, 664533352, 744976589, 573544711, 977532380, 80194429, 908798935, 744326218, 455044147, 971540534, 451000305, 943542245, 963557281, 582450696, 215352592, 488474896, 378125462, 397348884, 448842889, 142377177, 661147398, 445673740, 15200016, 998593620, 666403862, 742124295, 882357119, 840293485, 247896681, 238510772, 72077097, 790191782, 29349972, 444514156, 60055191, 357220223, 979465404, 213448912, 93620179, 998112855, 904557816, 726980458, 662114361, 820709172, 604268576, 488994209, 322008906, 834762719, 932202560, 740259420, 184447499, 473221960, 334798983, 665080520, 24273087, 784268332, 533649868, 530197265, 205873936, 206599033, 266021515, 998694492, 469589730, 42437456, 28871806, 763044667, 873180659, 678279234, 837553236, 14862073, 271226825, 113309564, 281589712, 739389790, 889650511, 208213166, 110841140, 252055549, 663348023, 477732817, 7429285, 252607696, 131403048, 701598584, 497892468, 188471695, 611866056, 826896571, 572974253, 127095626, 724147526, 231357599, 31807592, 24922946, 688294501, 53645973, 154082972, 396763680, 773230225, 830184377, 78574159, 355007890, 44038892, 27804658, 633282355, 262090439, 743135846, 249950277, 192811674, 757764405, 62917549, 703165987, 980510195, 792376043, 180718987, 661013269, 526504162, 551175253, 865845592, 212475506, 477412448, 724187955, 842055161, 625270760, 956331704, 517596657, 97916410, 739193309, 869802411, 528315079, 360053809, 791207767, 882453767, 665452919, 378750740, 797041299, 862416661, 935701931, 821397038, 753651411, 841721477, 234942511, 996583632, 408198954, 14034632, 461612983, 188296368, 949255785, 332549182, 819710392, 807244647, 305828812, 783388050, 607019126, 99353559, 257546142, 689457037, 990133928, 894447613, 545445656, 653747779, 676054528, 217278583, 124993572, 997153662, 937480216, 39349814, 595138638, 337393021, 211550234, 504307969, 533248999, 129438619, 108570227, 708148417, 772152503, 267364797, 524640969, 325993560, 998351111, 469229862, 730441223, 655163648, 868649092, 518031005, 541225412, 270251999, 548125803, 10425728, 525185222, 9204728, 131213515, 130379067, 446123568, 927010661, 155732318, 203909777, 434524902, 100554826, 526707156, 497831019, 262196685, 437719028, 179120960, 392856653, 602082239, 323312790, 913478482, 894886692, 554348994, 463452016, 649855437, 144865710, 427376073, 133240608, 594239105, 322230373, 613679652, 510444121, 460603812, 111683891, 945694476, 777131582, 843885076, 257664933, 615111746, 267339385, 200872157, 146316667, 142074036, 370236263, 92122618, 225056129, 87570433, 571232247, 381912703, 940394360, 593327812, 567063392, 676159957, 234989543, 742841948, 166529760, 225086103, 913079762, 49515144, 967645431, 896918959, 196011864, 584923654, 570315000, 150408083, 822732739, 537686339, 408592887, 783001547, 74518797, 373960945, 244844335, 330536997, 226264460, 721909404, 247772145, 441264015, 131302296, 527771816, 785797208, 212875804, 365168372, 208349576, 608825116, 793684232, 433802337, 39697415, 384438798, 388853826, 49701207, 398984205, 757659637, 796349181, 994312700, 627122121, 82435278, 493069702, 515248501, 546603785, 965834786, 526914898, 115138670, 985842370, 909078792, 151634822, 321788442, 906852944, 987383519, 49132989, 698976144, 672622668, 721046966, 729027142, 263197472, 249512040, 137370994, 521026422, 364426817, 195958050, 16299585, 425890527, 625702258, 335822777, 424725500, 488877154, 685813074, 296319954, 565670800, 287696728, 167066321, 992409332, 934496703, 99158810, 900312339, 97498111, 169685884, 521937130, 765513359, 124571992, 203584265, 672693836, 972858163, 440771082, 989344401, 588486979, 656400850, 656739676, 400164013, 335522317, 957086244, 66512514, 358881508, 292329301, 847231903, 887585371, 492071164, 306445174, 289743471, 969552904, 979238531, 166750197, 197863223, 210045584, 684778819, 508077053, 598622997, 465773284, 892792175, 965069659, 945623383, 882285593, 689327749, 479874469, 767695076, 527297791, 876383747, 518501490, 236982142, 907826709, 654711977, 916402673, 431452070, 562261673, 472069762, 359557263, 64810834, 109374255, 478650822, 467004910, 658094620, 491274748, 740460451, 517543485, 170765760, 67514164, 189397661, 897754899, 698916301, 257869149, 585911865, 291081959, 355807935, 627699562, 672697863, 378153285, 310892216, 905756458, 800338532, 100750514, 262183716, 385726789, 515212062, 846988397, 741374778, 935501440, 537816412, 314664588, 644113669, 805423838, 667183662, 133982075, 16537263, 833930839, 805432347, 894702606, 670328405, 721316608, 203701296, 647642986, 766493404, 833396174, 206548314, 914613230, 464595404, 773892338, 176327344, 9907258, 501134437, 119424939, 960574421, 346776928, 93566189, 128288733, 347961755, 811468230, 877106073, 644907164, 710382873, 869396556, 562782076, 271765576, 150138418, 519977004, 311698311, 473295216, 558074020, 902864750, 63041947, 167981179, 681493415, 922625311, 139430698, 384836998, 244776809, 107743744, 758449660, 916446839, 540753121, 278640466, 866749835, 629090566, 401081817, 572463831, 841700278, 848981752, 237392150, 725968333, 710444778, 957935789, 644064172, 223760774, 318145713, 281506276, 898237029, 323892409, 159059807, 190134405, 294689647, 546793765, 415166119, 804075443, 573070018, 905183941, 218117932, 530716709, 652063303, 548801894, 927902568, 808006137, 920933209, 500073133, 647776322, 659772860, 591719804, 403266533, 762923556, 73290294, 234330065, 169646963, 32726695, 276139069, 619517579, 94969208, 573126573, 475169877, 785419071, 91259602, 925628376, 770823169, 731619344, 397469737, 394041073, 407440988, 400544707, 508555515, 622476745, 631173025, 632188256, 671261913, 491096014, 164228752, 35354379, 425967024, 583889894, 823660279, 660854351, 882892134, 634823066, 683965824, 610667142, 911936924, 833326313, 574395477, 648618034, 38695149, 812640761, 47975790, 43669278, 221004393, 611878368, 972110440, 638775488, 940561069, 129650387, 862979767, 37892033, 592547251, 253500791, 96549002, 851210732, 799875318, 42775206, 217785275, 839517296, 485435343, 301341764, 699605206, 954809569, 831990133, 725019958, 845531437, 366243854, 516759022, 74913138, 722525954, 486903351, 760142955, 371742760, 955699818, 574118549, 686924598, 257711843, 428446660, 766898099, 809633088, 630538084, 734137233, 286724018, 461627394, 870153680, 165372175, 345946907, 209163746, 910524368, 863268309, 803113671, 497557351, 926003720, 109385640, 163507920, 714769276, 182892738, 899213809, 516621674, 289514672, 848715525, 84721576, 753001950, 350550842, 812998504, 610300904, 523736468, 817253803, 336975471, 371593140, 785989146, 497109701, 206544816, 766441671, 99786593, 133215921, 878373245, 58170562, 606637933, 315565907, 850625031, 254982504, 2322375, 673931608, 103146591, 889791634, 53859513, 236213539, 754138773, 546612172, 941402980, 592443110, 86066893, 277639763, 162332751, 86043732, 212529565, 441213095, 360491824, 840785602, 190393423, 642379966, 80721313, 402355242, 927781196, 469799245, 590172299, 606339937, 5413578, 146423737, 148690376, 243111532, 829420215, 697815025, 636806172, 743365981, 460814626, 871812196, 504718439, 862071287, 252586500, 993619929, 479977191, 631733445, 52870513, 743593306, 741570060, 777667534, 128151224, 771329306, 41041332, 10597413, 352729929, 251188185, 225372418, 12479020, 752477331, 3942053, 125814946, 70913120, 720200933, 279271291, 566848753, 858073122, 940910986, 877798775, 871508440, 614062856, 815594058, 876059723, 823279457, 480929260, 40352357, 988875365, 297921063, 731759155, 603935241, 729487379, 817871668, 668187609, 929237989, 449086970, 186122534, 101142710, 929675463, 135089418, 552210928, 315426627, 5233712, 917921754, 657055609, 550266139, 470265096, 883827453, 729646435, 357677816, 845952811, 571117015, 913977204, 601693284, 529006886, 932917762, 481693141, 698906180, 387959675, 260035439, 842171277, 824516600, 518015700, 542728175, 577998960, 101069416, 805388411, 766447926, 328929560, 751656721, 544965822, 760463448, 198196402, 842324505, 804735228, 462418359, 335418143, 242105522, 281665241, 659291071, 347839273, 356046462, 533799667, 828569252, 512190786, 702549287, 260895952, 381315749, 769239368, 882609635, 584481294, 388448206, 407451586, 293198400, 270174447, 120208446, 241748147, 483462515, 776793722, 622388507, 200330775, 967010761, 250576677, 726513472, 726069485, 725439316, 200261002, 718960545, 34542321, 549026667, 660725122, 5422737, 57121478, 842793349, 291340232, 287998312, 721236850, 785406424, 748750705, 439322697, 517353480, 75322660, 585021555, 136739227, 145850185, 885888503, 422838996, 50741698, 48628260, 839771517, 39389077, 528131123, 14368544, 350171894, 238796002, 245854429, 947070820, 45132283, 543993151, 836508620, 474595641, 558050520, 782193545, 156670437, 234184698, 892054889, 145761990, 704569628, 224043634, 206824689, 393141268, 723310233, 832981496, 387984497, 40052999, 104574663, 813746006, 817384975, 63898040, 486318506, 260064465, 592943084, 23240710, 847527467, 376923286, 259246087, 494098014, 782663012, 329419024, 342227885, 62768921, 611248875, 246285944, 402000507, 442687545, 975034547, 207136541, 191403959, 529045989, 572879496, 165786144, 493192255, 847716119, 119224490, 627518886, 323209929, 315718783, 916494290, 585702839, 841464216, 520932310, 348489811, 132390501, 413377524, 540371257, 418168873, 955036878, 920608636, 540154184, 508876743, 920740995, 757782801, 310874249, 42913631, 242879670, 158677242, 738144214, 344828545, 939390462, 197869905, 17670721, 822852448, 368984731, 258867973, 23457688, 387258074, 929339415, 509717426, 951194537, 644767317, 425955444, 636212887, 879960645, 710756791, 669166455, 179292324, 550357170, 948313561, 476945344, 194469336, 106095815, 6855386, 418771434, 11548757, 192304716, 354748364, 979469930, 915164147, 501698129, 273809447, 946197186, 829167286, 6569904, 915403236, 592658407, 779327442, 965554044, 201160114, 626496382, 143101120, 467741750, 83550289, 957113319, 796441276, 403558241, 452000951, 501480131, 370959945, 467091176, 206068140, 873309189, 662471285, 293941493, 925133724, 927881663, 724887858, 128222908, 665734342, 101477207, 573121739, 62293481, 140592987, 838853678, 192757746, 659024968, 961526019, 719306213, 425334014, 877597363, 23620544, 801210194, 723505418, 512102487, 442685714, 167435703, 31418071, 836770231, 480734294, 419979204, 635484044, 908139479, 176554736, 181825074, 322968209, 139909800, 253322862, 490170426, 136350592, 649358312, 302574281, 282348063, 155512751, 307954016, 473817489, 654207331, 5436170, 325483422, 300442500, 456426061, 159594368, 535209988, 979458828, 985836157, 807354866, 983177844, 879879653, 868855174, 572852449, 263839686, 898635347, 109095469, 719294624, 593498332, 365882058, 871630404, 784843924, 944376771, 417073129, 990310588, 925143393, 666279219, 23486219, 283420257, 103641855, 518238127, 922990123, 95033471, 361689283, 27046571, 750803698, 664675800, 929772949, 835429007, 448952546, 329167451, 940031872, 730000965, 55981542, 705416127, 212837235, 36334507, 358262807, 297452244, 190474851, 892271380, 397812639, 840169239, 661632956, 341583785, 235284456, 792636700, 993381847, 409644560, 231217622, 676533253, 335609291, 206675057, 273249101, 688936209, 499971347, 903352428, 922367950, 953126803, 587591703, 45969420, 291330793, 624972603, 603655752, 818893524, 64714672, 380762708, 906415028, 876498239, 699719436, 484929292, 609934802, 296958649, 23073869, 709142303, 408520799, 111061964, 803572874, 711826541, 166166274, 594694644, 350363955, 553825098, 632161490, 94517549, 685210653, 944398116, 38503506, 453895113, 667927695, 645246018, 752596372, 181454665, 331458940, 10102572, 123200794, 438733782, 328987668, 141403688, 59458490, 516081376, 642431121, 941952532, 868287545, 319415044, 49122833, 757057612, 708357766, 790421965, 5217861, 66414072, 924885090, 304545843, 459822034, 42465726, 387934381, 785675694, 920267660, 537434082, 576966922, 813718009, 166029160, 794120106, 516643062, 60164841, 564372781, 459717578, 722913673, 161064642, 852147205, 579346661, 953891836, 588221117, 136824443, 515520010, 313576656, 714496605, 328882696, 860464743, 724643122, 302908750, 872755722, 336438801, 37660795, 380446259, 651591349, 607672690, 992932972, 951372211, 386124193, 140953678, 992674336, 427825601, 198394579, 508789731, 340662251, 906587698, 228275429, 914005210, 699733997, 768483920, 336742232, 103303366, 573215799, 316210908, 892578609, 539215582, 895428114, 928963798, 219288042, 501555439, 478176946, 276956746, 519471578, 334295531, 926375044, 345063213, 23875692, 686149556, 367625240, 923240099, 982239442, 741830844, 971996363, 91092087, 125816144, 438264806, 645522119, 995380476, 204340647, 36511733, 667260736, 568561194, 971218134, 178918322, 949928767, 789381313, 509264196, 10263012, 476890522, 382824839, 3218061, 999536627, 700400549, 572949255, 57886355, 487664935, 731446068, 322009859, 210070872, 635250343, 760441464, 417263317, 220352282, 304817437, 315068744, 446843190, 490017609, 343743367, 105476786, 434737547, 994554761, 125915220, 258844933, 593206606, 992612478, 460559537, 821406314, 120308316, 125228877, 989891967, 763247003, 730689118, 750112393, 269886315, 861612147, 629495284, 995271377, 913623282, 978957667, 380748574, 530486543, 167045933, 937239766, 160580490, 345465742, 740087287, 199648178, 653218537, 72489425, 476356938, 915030851, 369847305, 488603102, 748491983, 668414874, 588278894, 839084007, 313513944, 823900588, 528754019, 465405229, 119394206, 764564499, 781682760, 768038805, 283974265, 919991884, 286246575, 411639386, 718738709, 942980697, 605508594, 829933671, 195292656, 217779951, 859693672, 454573827, 890381626, 358387257, 123208115, 784600970, 242228379, 521302177, 108688846, 257769185, 170722859, 611742154, 454304626, 120429193, 638727409, 712185096, 99864273, 982797992, 39289361, 802458098, 735885733, 138084382, 672038835, 429532229, 755424421, 11925113, 541359535, 3851220, 710612587, 859049326, 226824303, 378084817, 880905535, 512639926, 398079207, 476111746, 465709568, 111165360, 888093349, 203252506, 723749908, 203424701, 825026113, 444412103, 922233310, 560210290, 263342011, 185902702, 374098121, 714403466, 579892033, 926077980, 881590611, 592431918, 535563527, 660205382, 321451635, 650161553, 188291674, 475172216, 432182421, 136427279, 8881214, 33065180, 980582541, 830169402, 897741831, 833919490, 388757005, 209625960, 562298219, 841198286, 387086913, 28416165, 536234169, 936261092, 869795200, 633732255, 583690402, 912909935, 139543276, 295173807, 369212592, 128305827, 496678049, 601911890, 430842764, 192944663, 744982815, 458347151, 299367511, 841537730, 896767969, 590883800, 853102476, 291073748, 38199782, 169877189, 278260782, 6151558, 538848297, 3269711, 778799547, 216863126, 877732019, 40211908, 395565875, 848362778, 943910443, 960162466, 101405102, 355603238, 135225239, 557541527, 904773738, 342712166, 246845344, 699751661, 911194592, 648096980, 202600981, 321991432, 831954226, 405563561, 235136064, 101066582, 925943261, 315656633, 802292044, 755633593, 70336119, 692592701, 508200218, 340826610, 1750178, 287346399, 582669040, 18613000, 603477370, 429182991, 152439405, 548373113, 941685992, 122525121, 311596229, 677929072, 686740419, 551174646, 975646265, 174912871, 332086941, 835188258, 104665797, 923155760, 690799581, 463316525, 760937361, 408402794, 384524154, 238999250, 664811069, 34623069, 99809581, 791750190, 540255705, 831495122, 664024318, 467793965, 687662630, 505195105, 679195454, 712640518, 404407807, 18305707, 408796821, 94745392, 987122058, 359243208, 940404516, 349437398, 700858946, 245834038, 960239156, 804893602, 414277640, 524434576, 937737849, 862822848, 241356490, 448653891, 774625363, 700047766, 858170727, 468696270, 371169750, 812305172, 407078248, 319459080, 14575559, 869916696, 605051064, 458270927, 381614459, 220493295, 669826685, 76699142, 742313538, 578655087, 99348549, 638289611, 424994279, 483573056, 266479939, 311283706, 809813501, 306650477, 651105684, 111914806, 693116795, 906857002, 399146430, 786713284, 58050971, 804773502, 737274400, 334221521, 525382798, 480411780, 64547304, 830430168, 613743921, 810720079, 711016591, 587876780, 227859896, 79903628, 337415814, 766925192, 413953085, 968071044, 940492735, 859606382, 819704046, 12571521, 514887247, 43987415, 279859886, 994722731, 328252401, 976037706, 275183007, 230168557, 828639678, 605959544, 734868936, 388402530, 134605131, 34448834, 907706720, 474480183, 909648787, 296872443, 281198647, 209099299, 150879910, 859487805, 614744388, 951273151, 488629713, 747176645, 708701155, 770402504, 82304468, 272665620, 714995640, 183339898, 167226600, 992408582, 762936226, 656294115, 598872996, 13998339, 6350989, 532873732, 937248614, 778562626, 897640513, 615948966, 792820661, 406858956, 546914080, 588869072, 426952889, 598364892, 191297659, 120704582, 644852405, 708465877, 775149887, 945605391, 506612855, 717259397, 191960151, 415460960, 995152594, 53517496, 635862395, 783703951, 118419086, 333273658, 202619752, 956842788, 828608954, 247594391, 486314327, 935831027, 622762407, 341722913, 626166471, 453606090, 687925155, 509417196, 294712725, 604592055, 421356081, 9058670, 779205232, 392055054, 362551501, 426148834, 860250353, 519977462, 906522317, 930415726, 552084938, 616437629, 576705321, 7496740, 121488452, 161109625, 378495403, 107966941, 269582524, 873652229, 963390414, 360032608, 680211738, 30528034, 975781893, 947178499, 795226803, 723332746, 644660874, 505460180, 974723066, 17769636, 496865400, 88582682, 702819664, 450199753, 52486241, 905400247, 324565347, 897553650, 103472998, 88298964, 55675070, 349775971, 544690673, 731527179, 698848609, 885487562, 265062202, 18901143, 680267630, 598718277, 421330350, 814137289, 263434356, 841012098, 153092659, 667394861, 772141886, 945357666, 951279095, 909371941, 748956611, 6518243, 267842858, 85476437, 328802615, 800045310, 808027768, 771030694, 698097889, 430292786, 19650646, 404998264, 967260041, 712251179, 181992048, 347634203, 816234379, 117822975, 127505309, 747563181, 490934013, 557395675, 211291887, 223154085, 485661142, 711988747, 490386362, 668940330, 114222388, 21711786, 15885505, 498726207, 673204654, 71176026, 542442118, 161717400, 299082634, 995073525, 328189, 92569138, 997852171, 908947914, 813913506, 124349194, 789749376, 769205401, 269562832, 186636431, 426218102, 987439960, 544658443, 479448402, 359333995, 648863668, 239938482, 976105248, 382163585, 656693477, 622243287, 504517466, 190659743, 860406322, 768925516, 511815339, 458942205, 678796225, 416040575, 156452195, 964068510, 842839309, 905514460, 11144761, 432563059, 176911966, 456629418, 532858206, 34590659, 214199089, 147703879, 545256018, 978060125, 65582640, 149467035, 918430291, 379345633, 622068290, 396545312, 977416432, 63842925, 184455097, 204992624, 510279037, 614875420, 428249734, 841258722, 408456495, 647480238, 261208502, 65797812, 14725872, 816263207, 946661533, 542184888, 684113035, 84437586, 894534273, 254331636, 796284355, 672810683, 819989474, 500256200, 459552541, 28567396, 214257117, 525729166, 150776706, 586271576, 790295716, 626619327, 209071485, 489447744, 497595435, 155169688, 445608984, 776099390, 524387058, 852225576, 159753875, 813052077, 402968709, 762130352, 186273743, 174523603, 79216871, 192007964, 225019178, 35652806, 230036032, 948807646, 303228740, 951629767, 536049215, 966846327, 692095613, 340057254, 603574174, 915550365, 825315163, 882691915, 608723687, 367601953, 112038743, 13274181, 831989424, 869841685, 577819159, 259189514, 549749748, 810136887, 729113868, 690884449, 317160218, 823033729, 758518981, 307563808, 309914537, 459685973, 969543661, 663381326, 540739901, 212920707, 561781550, 504426141, 335301075, 955692024, 927550140, 405804021, 434328713, 59782753, 778018240, 984942164, 289451232, 634204391, 832757962, 121992967, 385449186, 344371929, 392184443, 365252327, 236371205, 878550105, 49434950, 261401138, 139863554, 334960475, 663375380, 449522204, 628030918, 640126330, 153095079, 274176702, 17137094, 622718747, 198225209, 896215535, 196291294, 788104982, 360945542, 482199517, 61780664, 804733709, 842723295, 533175212, 193714219, 146606031, 554831158, 740931736, 981235034, 385101037, 324038389, 98081803, 209652112, 524894538, 556906949, 598381091, 365604455, 818344672, 145038560, 659478050, 260009568, 319651343, 954795731, 280146749, 853755722, 219352039, 953565398, 90255264, 393981532, 346642972, 532744470, 310389855, 190245913, 328470773, 424054072, 403575815, 558839948, 334518467, 769231832, 12081507, 997455998, 771087184, 259508275, 868017645, 605782230, 686114316, 59878676, 512238943, 400104445, 321510643, 462025001, 603044277, 328512662, 600729499, 686569708, 81202808, 827955695, 90701616, 168089048, 683429175, 156114411, 604926801, 151662587, 499929537, 493827720, 509738148, 301464705, 501122521, 249712851, 30187108, 710309730, 586920958, 927459710, 401474459, 301164580, 633391583, 257401333, 259356285, 754962158, 892424132, 219763360, 509118939, 750925801, 861610700, 327005274, 381364486, 100711487, 347593386, 662209524, 172152635, 476244143, 322120484, 871870739, 719287612, 868609561, 651082445, 73636870, 255939116, 864788918, 733371060, 477885549, 447515979, 260996223, 132862823, 9583465, 559904138, 842922601, 327726928, 775409066, 354271631, 886723820, 420128334, 213515576, 647417009, 230672650, 454593239, 726203152, 936692197, 416445300, 456949911, 221639320, 685988178, 394522022, 262465314, 685031777, 902499325, 967273575, 719722451, 477426687, 462064336, 240435241, 808718934, 185781824, 832888331, 366910820, 961004930, 86059875, 956313269, 784726490, 953237198, 837845776, 214144929, 701312907, 262779831, 739743531, 892270841, 466574750, 1215306, 768824917, 746555034, 400290052, 559339803, 949538691, 969212821, 778764948, 367796259, 971832334, 318690822, 152208137, 488621157, 198313074, 638012602, 482728992, 803205947, 359705174, 410867432, 228602165, 352547701, 471210182, 908030487, 543127353, 296263554, 970864038, 62671823, 792301093, 70880162, 385321664, 97480719, 55827638, 477772880, 658189900, 120651222, 674288129, 333015276, 738755540, 405660289, 688503710, 639721734, 267102902, 315516912, 355321378, 389200539, 305027369, 787939731, 964381539, 451299247, 617738212, 670213495, 218233848, 832899665, 766846933, 898597988, 88124389, 680213005, 556496917, 451665291, 656825152, 185894453, 32044409, 901205796, 519326973, 960333651, 890480591, 434446711, 257679847, 830873669, 760349119, 603681116, 122837758, 320013743, 534585140, 873829971, 525098623, 505708863, 440206900, 323727428, 527038408, 649288459, 142139231, 290935411, 691579108, 198133237, 160094525, 701840136, 296034162, 563056640, 190092175, 139509085, 540792072, 344486466, 863838282, 600879284, 179593093, 187047607, 26776479, 168378073, 899360405, 828269168, 465261643, 781888369, 931994288, 834939308, 426677928, 647208354, 402244955, 730435532, 959581419, 996373017, 667014808, 657901092, 190731110, 711577958, 232526504, 333247853, 176727046, 10180409, 724262278, 502265987, 329312512, 18124509, 282124519, 630989209, 453709216, 177263908, 413111933, 289384921, 970880912, 182489879, 339211025, 146656008, 959513366, 629064580, 352030355, 414154639, 496749821, 627145848, 223333156, 821016984, 781966258, 261044075, 497500688, 16667341, 824170953, 597569546, 521679983, 400713508, 542701004, 357782139, 465914297, 927778533, 753680607, 257000935, 626393737, 965286183, 920432992, 252504013, 313553372, 107790045, 418907980, 510190789, 891476421, 769614677, 553500633, 199432169, 197001773, 365693610, 457245626, 366300036, 592104168, 130404670, 417948251, 603475688, 752343881, 323385396, 758556261, 220260721, 43169261, 846445454, 217129972, 639523751, 249537432, 842533304, 715835564, 368029558, 966763665, 196600356, 808554525, 630966134, 964575832, 175975053, 198385658, 691905999, 82557518, 650962536, 371470137, 733322132, 212450549, 598348818, 277425049, 625018232, 488610139, 806632339, 112046032, 490099843, 668142910, 8007771, 926932865, 137644597, 927858069, 967603834, 808921704, 447448488, 553292832, 75358558, 863777398, 386448049, 54718169, 18590876, 984857428, 6637357, 849668307, 966842061, 298091282, 405675764, 215956096, 302894366, 373660859, 427050783, 994494367, 123461746, 34863209, 320582400, 228039657, 227350705, 66932536, 927138285, 960435012, 777500193, 841763461, 958742419, 834611620, 597628234, 310277554, 549557507, 286537570, 168324710, 382027750, 480056019, 474276066, 964016314, 662968498, 466477437, 302044787, 385988225, 283093622, 134174236, 901225469, 533357237, 66107851, 932033817, 918427370, 682193199, 303783850, 536505584, 378436218, 884577741, 928760840, 756449245, 868856148, 146924578, 347061919, 43368932, 759003892, 254700498, 525319813, 167652958, 576862186, 568230661, 808175752, 681090647, 517335221, 115744491, 360093158, 195548411, 138863758, 255320134, 140781891, 3355627, 539127692, 477485984, 279642756, 212827439, 32411215, 375957696, 168360979, 827721473, 765078939, 519684530, 594643045, 608411770, 145571995, 624288942, 623497818, 686964868, 865361812, 368261800, 281062241, 676833381, 748659474, 63013760, 888319126, 273041799, 587057113, 890313461, 436125113, 334011451, 976651848, 641666783, 166676911, 68324818, 912419925, 885991185, 179084112, 152067355, 967964379, 665223433, 99675017, 940652080, 857890798, 241337956, 631334966, 554356411, 798617746, 462884304, 810305103, 865743755, 918301077, 459666900, 390159346, 861328577, 156938956, 924210844, 563610348, 675733506, 780882061, 254902242, 351884033, 218470579, 979702960, 918168918, 320142815, 510354946, 569524481, 831895169, 219892530, 955291933, 963487946, 593756316, 751803878, 235933334, 137372912, 701414471, 350178797, 840331820, 292255250, 778437193, 855730466, 949950907, 974426110, 638057666, 682528141, 173960658, 974426050, 130942661, 3680728, 781900206, 791752262, 570788434, 571937500, 576024615, 403075295, 325671507, 190549184, 51834131, 118931851, 777112959, 161141967, 431933896, 742318868, 966554051, 778590512, 595387941, 278276709, 369364210, 374910175, 732931033, 201132020, 816154433, 78344512, 171281219, 451949233, 95938798, 254429112, 495235180, 512190917, 788661771, 834973721, 769191113, 555989504, 634697822, 324023915, 54262728, 308268164, 963956317, 211215494, 965265015, 402168919, 942494763, 878356628, 665355169, 433200613, 593116082, 236650719, 610998783, 898596515, 820072024, 236299123, 32817204, 411369606, 660294239, 735398255, 828308462, 132688742, 860263456, 541041009, 643348793, 814442662, 57362740, 11329437, 926012197, 663274395, 365912189, 533682378, 86778572, 135840991, 804220326, 84048633, 567340831, 192877861, 878162670, 447153359, 869405959, 816583136, 837220686, 181511185, 527501805, 416855095, 802090772, 415264997, 206304779, 782998589, 710677099, 223001194, 821648496, 270480589, 539379758, 488220563, 663598987, 631501906, 255877717, 782518756, 582356745, 885145815, 564724824, 621925157, 981798228, 91670940, 537759214, 197313470, 712428637, 623713602, 95145503, 444888862, 196619380, 325269265, 937493096, 115028125, 690774810, 239349383, 30821591, 409016739, 331354324, 890720411, 165657003, 27230839, 518787189, 159291152, 981547325, 478229440, 438859980, 892943203, 515654505, 963680492, 813241553, 640581525, 300261270, 710772181, 681939296, 420590285, 773339736, 793648975, 708778116, 163098082, 17549131, 858269909, 679839283, 689574744, 41315473, 985524857, 431721804, 643009839, 653751640, 366601259, 852967765, 922073647, 674259799, 761557594, 479497336, 503459487, 774387232, 521490491, 343946280, 144326602, 686613915, 47523945, 873439231, 728096341, 579807018, 324650987, 604209431, 579272279, 658101437, 206619557, 520861690, 665576216, 753652646, 106162474, 972830054, 380650122, 743904305, 595929529, 832318608, 371421576, 921277200, 255115094, 669431855, 509724319, 780262251, 725484202, 383474789, 633449601, 817609842, 640875929, 90479798, 479683021, 309961059, 185939515, 26995084, 123719640, 59608052, 891831668, 18880936, 744592664, 118473497, 778359442, 401075572, 991940936, 310032576, 85186445, 203045131, 10216235, 510378255, 648314933, 22414366, 331306899, 947770658, 566069733, 821178108, 192355461, 278916308, 868222120, 432043350, 927694790, 850676265, 960083044, 877113679, 231687443, 245894775, 161437782, 11446780, 527937160, 489252326, 425075925, 779636025, 449832115, 850345230, 110959884, 45759193, 396290457, 739906746, 387216725, 96740726, 412704644, 613663447, 233554198, 451393215, 333180277, 749381727, 420429054, 804005615, 365635367, 828701495, 897281833, 332289135, 342352660, 924863360, 800029429, 405197566, 852267221, 15553068, 739412884, 759207705, 225942784, 769765320, 352884218, 727240571, 673028344, 836647418, 997907022, 53270279, 615012218, 324285014, 188148567, 39755019, 541480765, 135301229, 296236929, 538053163, 43120328, 887568298, 558802393, 703220411, 14714989, 600393119, 786489169, 385593632, 485970884, 612301041, 762741371, 345742264, 965666631, 689308706, 620567942, 305606042, 970182378, 449966262, 240799549, 890693131, 776850910, 282786544, 837092811, 613365693, 108641867, 501198772, 136167331, 675371821, 414487787, 837312155, 707109856, 57098028, 9117878, 197390236, 42677803, 961767030, 594580270, 268121797, 126723520, 85771910, 341853516, 965550367, 229817214, 417947403, 500697139, 3127973, 992123677, 800478457, 296325601, 518773894, 326517120, 145740299, 459029650, 267194016, 809465484, 261813774, 803872925, 127767352, 913436581, 947878354, 143743839, 842286471, 343116392, 952213924, 338774779, 192237450, 376995044, 750862309, 490022394, 170341363, 904319579, 949974926, 167656208, 645638757, 417204586, 498857434, 906498546, 111267020, 454841716, 887414828, 399669462, 14472622, 433560446, 4800517, 251755819, 957993788, 855591153, 212887191, 150335458, 222265015, 415296976, 561171222, 291313304, 734067320, 304959534, 792179445, 433750803, 505166871, 269487290, 262894618, 722062083, 139053914, 377187456, 411579969, 646970603, 63988099, 873407461, 757701349, 971073433, 370404265, 51898932, 170839042, 820177162, 859478686, 600060624, 88073697, 739885325, 580288788, 501248824, 247700339, 219505966, 176127525, 663257382, 161345183, 576755242, 997958465, 994292983, 40527858, 458203678, 142412968, 874483351, 572490801, 708171165, 480409401, 573943067, 898066525, 940516554, 258849525, 79768068, 653383275, 260585182, 376002286, 612802742, 665570956, 989654522, 824911074, 810038468, 645987213, 62252684, 875075297, 920638117, 803817341, 926587326, 399611854, 378455057, 46132028, 732529522, 305644483, 543588468, 978831166, 396146979, 868783688, 671001188, 593845997, 682412411, 427829909, 643698429, 165816640, 718503498, 704548770, 937509236, 633600719, 938362565, 20962985, 385649936, 820187364, 990047237, 834243732, 831265717, 741746258, 642309471, 639253120, 350268078, 522002454, 731680013, 887979839, 248308010, 498261779, 964439456, 135903059, 904136862, 172702366, 407105093, 124190940, 170891629, 510560155, 940887897, 660722101, 922946116, 928230895, 171193876, 40525908, 900880200, 322980942, 638140230, 965109389, 874455640, 804546654, 461173153, 658915494, 990231425, 552623684, 589927703, 104317791, 837392234, 801606919, 275880666, 896884885, 762720947, 362319725, 509621094, 265427423, 295814863, 470904878, 714843908, 331291711, 119378391, 569770270, 672690372, 854571984, 6930962, 704917879, 501308132, 150619647, 397515277, 926500799, 571360012, 289862974, 340696179, 389260147, 94876185, 972722124, 968801650, 512124642, 974316414, 326990167, 333508455, 171899811, 71722612, 399245390, 257237170, 550216708, 166929968, 659861227, 388873521, 7574921, 817880396, 654219701, 818979811, 970859529, 594887552, 693413423, 383185351, 649108248, 433320235, 67318238, 755626199, 544734524, 902970712, 236756220, 402372078, 144333028, 371301172, 613373423, 892504393, 801666364, 182775731, 119064113, 763555806, 952994622, 798178999, 660123158, 250165799, 585344343, 872499825, 999060507, 423062459, 317882325, 543399080, 59442142, 519706369, 630732065, 742995184, 754971468, 625677186, 316509102, 421355817, 154805335, 651052733, 67636401, 483352400, 498687117, 777681639, 586993828, 113254447, 892925419, 556152862, 890165736, 520703448, 723470494, 502966289, 158973500, 665720295, 324304134, 673096381, 956537903, 850361396, 529352931, 68430996, 76060786, 814053882, 481355148, 884143525, 224951044, 71575982, 406687634, 158209218, 226719703, 691048661, 474018696, 852600965, 532151719, 581367915, 681135648, 409625739, 252464427, 242025498, 440473532, 995215672, 74304806, 652648017, 355491018, 202256371, 796190630, 34513888, 205112298, 884379361, 516820783, 54669368, 937038661, 535744418, 83012962, 243649573, 235547908, 346534450, 841621802, 573781413, 636037209, 410395845, 402071241, 363368652, 856680971, 132186158, 278627411, 121882250, 767962092, 240267525, 602007691, 647082928, 16748044, 773377708, 655518175, 800191948, 210916821, 266303998, 902594749, 536426446, 759124394, 528311637, 950374430, 229060681, 507075345, 394113195, 679179716, 473759977, 204073467, 762006714, 91939445, 282786337, 353467175, 624217837, 435593747, 790162978, 923401492, 240430545, 531845469, 750853653, 792449081, 171708216, 64959730, 440301816, 124966473, 814853072, 601552376, 706270755, 605835611, 69151234, 95449075, 326075238, 508418557, 495003661, 60411780, 944637723, 964802212, 789043752, 351186360, 179203322, 366785206, 151202005, 529457183, 106006515, 369173395, 131754091, 841721451, 705027357, 705610894, 51932186, 906589056, 996806869, 691096145, 855335882, 551578511, 398322750, 538652645, 521800701, 807284618, 9473955, 587426959, 765372820, 316041618, 509010011, 765008154, 637695696, 333506864, 225595067, 996669693, 923414023, 693195988, 437749955, 21223914, 530850116, 563713282, 193670253, 435899585, 117131283, 670997449, 258272182, 329835087, 746735328, 433308169, 547506901, 16507599, 906340384, 433715339, 954583768, 973927563, 223632896, 538169183, 152618538, 233327644, 501790442, 274042557, 738589732, 641856025, 61275691, 359820368, 79881906, 264852298, 866861811, 698393031, 891121882, 375257927, 71603060, 375498828, 674065880, 248667492, 591690644, 987037568, 860867619, 591458687, 75745686, 311555871, 974115710, 284735483, 72289402, 868887207, 334921290, 645731832, 250228829, 258864393, 424041194, 613870378, 608907524, 883559915, 64645989, 35852669, 224715684, 681674326, 497460600, 230633221, 838628204, 559890034, 544845073, 499553112, 407784937, 61516738, 251250268, 851089621, 798379387, 462192239, 211371140, 944817496, 833657135, 923595266, 920237252, 648236942, 888258575, 582578257, 24554175, 71765556, 854572402, 367164957, 780438302, 243338929, 139460243, 882815349, 525178900, 13212357, 62357480, 938576035, 164207670, 938176243, 861339046, 730695535, 122741174, 19199668, 995278601, 116982254, 360967510, 371654701, 804072300, 545377003, 562947735, 453060501, 818791051, 957116304, 386520358, 525223270, 814380764, 167954065, 402506840, 169559538, 287576956, 338543678, 753668107, 640640382, 128110665, 260277174, 625845840, 320070580, 344580130, 30059073, 698790824, 819551520, 476046245, 581502179, 144260516, 199657619, 931999680, 244616813, 692982318, 297691257, 55778874, 515023732, 286819419, 186762386, 426284061, 797835817, 828835999, 61275512, 260220870, 26019778, 193334276, 352876054, 37465669, 128867722, 224095476, 575347488, 120708878, 381987737, 613085063, 93434485, 98806168, 390682050, 20641518, 608602520, 380060713, 911366398, 289159427, 897086030, 273868219, 318976501, 155916481, 683586629, 450950520, 61507971, 442208973, 41896123, 662992686, 68024608, 9146796, 851996758, 982371110, 14351093, 425840877, 45261906, 519502388, 497018167, 208741213, 51582483, 722481391, 263391514, 160126229, 831636947, 178511717, 527956136, 852389889, 231997792, 981179597, 669256815, 901874374, 184997389, 141360946, 797994333, 537387314, 399748672, 995335056, 659323824, 979119413, 769669380, 81636731, 337603155, 837990697, 988464949, 100711904, 939143858, 943682457, 716681431, 972646704, 145893729, 573573411, 292712043, 548356851, 249812066, 861308885, 127288583, 587553940, 420004777, 582832936, 34668385, 496989116, 516319137, 368057363, 806013465, 521333093, 818490427, 157021662, 851633376, 837298065, 607834863, 954878331, 885610307, 913721839, 837303318, 760747588, 59341387, 382289215, 711530673, 406873621, 420813265, 665740550, 677370913, 422326752, 648600304, 233780428, 458690253, 327134172, 459998990, 443077449, 559522983, 884005420, 900499342, 792390682, 928977931, 999640607, 165364968, 346274691, 285425388, 667786913, 83354706, 916637524, 754438708, 756190130, 417057738, 490796456, 643431908, 179746787, 147350850, 588325909, 603595610, 573040056, 774788865, 919310445, 243661083, 791195574, 105948787, 840322859, 614425714, 142496740, 207383251, 134688139, 460713073, 40161181, 160492821, 687252205, 983906764, 604441736, 878866742, 139302410, 590115682, 747586754, 820272123, 292046902, 655449154, 236380682, 958171329, 511186646, 751673063, 129707770, 112959947, 34133681, 403886652, 182755083, 933093911, 523553878, 92341063, 366202319, 446744952, 244216109, 164822363, 229134110, 183955064, 932356814, 288967448, 662286217, 815197887, 705079582, 896458201, 141214707, 673608353, 704373355, 558596024, 342999057, 820802995, 288115374, 324430790, 860700036, 695891226, 426529412, 15074735, 164634624, 587041625, 776225742, 471022279, 745839236, 981995050, 772911100, 6517183, 607111356, 585542854, 812969548, 918468428, 533146941, 603112979, 96618682, 860978800, 875728393, 864903378, 732189925, 63253060, 232473509, 204045808, 944899811, 635869866, 242093459, 482215936, 237373925, 81747981, 845764046, 452006143, 428844609, 974599461, 25210292, 519976777, 883511797, 959066663, 135127754, 44953230, 802206243, 694079055, 775620984, 260411207, 879925733, 930797492, 536490396, 545262951, 153489140, 102675311, 303184317, 49732346, 846830842, 652308367, 445135204, 29173843, 907558186, 266647263, 959801368, 182740900, 598651304, 563665788, 805132695, 396254361, 881957752, 247418345, 123536641, 270170093, 118761487, 641777545, 908889640, 413935293, 649795179, 908301166, 110384506, 983431747, 88646001, 23614606, 356422024, 545478894, 844295063, 787357962, 319705864, 818388187, 775806008, 387502033, 809556221, 823402615, 872740607, 265759102, 984851792, 523598928, 552288213, 761844285, 542165323, 383373802, 90265658, 454803279, 218974847, 947340731, 47595343, 974948758, 808705530, 590189370, 16044126, 803789662, 863080470, 230785862, 725030443, 211172950, 378622358, 75201463, 571299534, 343959417, 12458275, 17461928, 461347535, 96752543, 184087840, 837631442, 922657290, 23914372, 308787395, 817812888, 796988251, 828982230, 788774067, 145922823, 748144796, 31722420, 978153541, 703883730, 201442618, 995441004, 133307168, 29299268, 925468629, 573331215, 194554362, 276237215, 5331475, 137273581, 414117114, 486589381, 549497388, 312915281, 531479198, 894776148, 239933166, 603377714, 405601885, 623728281, 334370212, 47269450, 418762275, 719711934, 346710009, 812891758, 608348112, 107712361, 881223271, 918535620, 376366986, 379989253, 548264522, 656015370, 400019032, 796166579, 477178431, 408333136, 569799737, 779092676, 705285158, 868627191, 56448683, 591095524, 879859368, 690381258, 973877706, 225479496, 697704665, 752637380, 508416197, 301315146, 934404738, 892909462, 300873405, 958968097, 318483217, 158952553, 15657124, 240452923, 795663263, 123537597, 376542338, 990934333, 429535162, 937496806, 658455862, 495991173, 236903023, 182138149, 40611345, 255176346, 268350763, 367637839, 877059128, 447738260, 900919286, 743796030, 336422502, 478383906, 9816114, 350453674, 303130403, 369753971, 500701621, 624363370, 962813474, 931766866, 455626043, 279923726, 90942495, 498308625, 949235931, 861148008, 113271668, 936390947, 959256104, 81152383, 597065423, 713698587, 922937996, 203065046, 816626482, 890732369, 210853719, 809311754, 988856620, 97548080, 505149780, 847145268, 619479021, 963031661, 866122104, 549543562, 956201273, 810867958, 259637664, 162797287, 976602300, 135987752, 385086066, 527908318, 399889432, 428832979, 955342589, 146754868, 913141719, 373545825, 620705621, 998408405, 419657690, 207634565, 417751595, 874822290, 702682289, 551118143, 642648365, 843183184, 45387985, 850288161, 248224341, 887999920, 374169120, 848448480, 515827964, 435283358, 150592661, 426093659, 645533438, 849968471, 145768982, 900174400, 460750274, 288532027, 167301535, 138946216, 606590551, 60801000, 551986166, 441916118, 566033850, 86215233, 6445526, 552309808, 388167880, 755509496, 250371316, 504131602, 777554820, 51575130, 518565300, 256175871, 46924114, 152510771, 49226509, 785781152, 467148285, 923443492, 97601917, 42984097, 193993455, 230744252, 835867326, 160338666, 662374779, 335528122, 773022958, 157397307, 391348650, 682289606, 731179123, 916216292, 9484551, 155076848, 152631717, 290953485, 439559259, 349899713, 548099413, 367194243, 77920839, 436072474, 82264043, 475307504, 570814209, 544018533, 933030607, 889607341, 662432446, 80929264, 816073035, 274529858, 521776000, 600819459, 991951287, 539739627, 239228828, 574429987, 357592554, 885757690, 149365611, 174880517, 787834086, 536418053, 737965665, 791477844, 971155716, 771594531, 240711157, 729172316, 497019047, 989407143, 971282585, 510567662, 628182580, 142003534, 215032880, 434638202, 446845940, 31138963, 603873675, 66146380, 95499896, 744572773, 721534263, 308323933, 662972527, 136269107, 388783054, 104569918, 839524051, 907653243, 600020884, 862541721, 590599358, 91511545, 405913024, 396061738, 66168487, 596223699, 554678424, 458611316, 362403682, 850265886, 467663210, 694535840, 62207080, 375384240, 804693898, 770211511, 911608875, 243961456, 78410278, 358778223, 225509058, 650314367, 880852567, 867724692, 604381471, 610352103, 261731435, 608079215, 893562093, 37565996, 563510910, 939837714, 988315062, 78005146, 677503721, 29719927, 214570148, 484475619, 936714362, 51338661, 624569961, 367826594, 181125765, 505918631, 806158105, 642017093, 744104480, 269775488, 860172452, 80842168, 233255196, 350548024, 492010950, 939676579, 64458685, 956858495, 484766956, 397939091, 192748820, 395312532, 21197199, 128161443, 730581329, 952150375, 201670853, 83308639, 196634839, 375919963, 800707170, 781780257, 823343747, 522904943, 424913835, 59344486, 917959064, 667608688, 966242876, 236382204, 410320911, 499503331, 956957206, 646126345, 724174493, 729864778, 520498316, 496658578, 792248697, 854884956, 528833893, 410515730, 75601560, 101892351, 461851802, 444409508, 223914693, 608818727, 735190743, 691144323, 909650044, 226554431, 155578086, 820990307, 732816182, 574751190, 203815486, 296860145, 262626466, 176659134, 929414341, 504895267, 529864002, 220186464, 521409615, 724796178, 86600674, 496316163, 840817344, 7501278, 837669075, 985167443, 164575470, 72101795, 83829206, 469843777, 672060839, 93050435, 832905072, 618941095, 691756125, 431431003, 973262256, 689859886, 127951482, 472532793, 961145326, 217595911, 428196914, 560021241, 858514033, 824943010, 904045119, 402392115, 647892804, 168616521, 414407257, 641198895, 516120939, 508782054, 38169324, 2282850, 18586565, 405918365, 249762990, 690109167, 212979142, 430455415, 730401489, 264720777, 961702435, 62493118, 653544339, 857486652, 45021247, 415968930, 966602309, 304563776, 832671808, 969970729, 248597259, 62274505, 802965310, 535440916, 767251575, 898576137, 875976288, 789486196, 699868753, 201391171, 72211437, 447081022, 837938631, 915315130, 615579428, 284761557, 667743056, 617911618, 121322331, 627789796, 378607091, 78819566, 860651293, 607609515, 76717090, 843949774, 382179113, 123256883, 806808661, 176765770, 268268285, 824219900, 28539558, 423039125, 826948376, 250588129, 250800611, 839614253, 172466989, 622890385, 432201480, 208443434, 976813821, 874521396, 431939454, 138807788, 116917263, 71465593, 927177425, 598897172, 1709462, 134111862, 492411615, 722524731, 591799471, 649089409, 70196528, 392992952, 566093712, 282599348, 270431385, 799168849, 70338882, 283747375, 756431565, 794008162, 196641128, 974796693, 526808165, 872767742, 335392724, 749386486, 489152078, 429493777, 865348061, 164614889, 163236818, 269580463, 702864204, 663365614, 79374258, 152018394, 885441872, 961657917, 392380888, 228938363, 109646974, 537854819, 249756152, 117340232, 592622604, 143236157, 396813664, 911803591, 619966231, 544925703, 406459285, 456503416, 97640851, 552376968, 515108972, 72531436, 894101302, 711785260, 346785716, 667692416, 895274495, 967714982, 913452629, 351293404, 568595338, 14245729, 605525224, 817301017, 223724282, 668494018, 373068946, 512943399, 881558684, 200108455, 828728729, 808671015, 538249867, 377302086, 90579142, 75849605, 697831390, 27084027, 207824870, 804450427, 278703640, 643267166, 375300705, 224857742, 198506987, 214682551, 48761807, 745862469, 402239956, 687334659, 575950247, 730101920, 579515959, 981182131, 338638716, 560856917, 46633298, 10690791, 165875041, 45796935, 971972506, 45065100, 87578479, 663374284, 163681429, 682357081, 481248704, 930273256, 181957240, 788300574, 223070017, 847216328, 107635730, 685727707, 151178505, 507049609, 383889963, 40023228, 996816032, 509741872, 14115847, 723062844, 264100379, 296588253, 68980736, 15385712, 90981557, 25143707, 413701365, 531244170, 586090424, 346268998, 611388522, 81095689, 343569350, 548336024, 557962984, 333296082, 507110664, 64774327, 159075420, 28321383, 782344507, 203688878, 58371119, 564110362, 900451899, 426557314, 19822369, 167748377, 987732437, 575764410, 406318239, 653294409, 665955118, 554522684, 159348447, 837380891, 171201590, 247364582, 641383340, 304813270, 75118424, 214577476, 619924602, 360076570, 359846465, 121606488, 444735646, 926309417, 745335195, 323960439, 361198042, 991925323, 556958627, 242915238, 31596263, 838311174, 950154603, 494863222, 207590688, 296701470, 959392941, 275981651, 102534808, 838179576, 251383703, 602245989, 458464376, 714183929, 855809354, 131367815, 30998289, 96736427, 251535086, 300787687, 562815254, 229074777, 505730937, 782759665, 928535749, 865539925, 335441926, 266981344, 397520538, 63031943, 889784797, 64863952, 970981522, 498160722, 951945431, 78521889, 530551612, 197490965, 885295, 459403591, 774776292, 695271799, 964868216, 617474258, 788132154, 594019538, 779960764, 640033534, 839126142, 329602732, 599146784, 100001430, 374024420, 666350935, 443308813, 375842942, 831730331, 962112046, 732410117, 166771301, 522999415, 381587655, 428996210, 713271658, 481031579, 451831695, 566570241, 332122325, 89932323, 462068757, 333523170, 176680743, 215264392, 873508203, 523245504, 621309678, 391191762, 459323496, 633106831, 25104680, 930558052, 87886622, 251630726, 945848058, 832710854, 75021570, 588492176, 910864480, 489651731, 872239799, 393134255, 73851295, 483278459, 623412685, 665970618, 906172616, 618340723, 959644371, 349028573, 454240721, 700924056, 630565112, 970768050, 396645088, 850710448, 174351519, 22501931, 572141979, 458440688, 890213751, 867634900, 508113257, 994571096, 631377261, 693091753, 519527198, 322544272, 927659660, 476743132, 379583920, 459462450, 177492298, 558976360, 994107857, 489224340, 150829351, 53527762, 637520943, 944076542, 308012624, 205693031, 354348429, 615139999, 406830855, 69620400, 159478446, 240172044, 766125364, 280003971, 904063705, 757968916, 325223380, 33270092, 667178987, 777484406, 140240865, 403617518, 467020657, 424230387, 608839231, 9999534, 966505850, 667035798, 812879882, 140122602, 727218504, 275826576, 91930415, 659644388, 222387613, 104649326, 633683778, 250055314, 92082319, 680397896, 225830032, 610976207, 862263613, 249349791, 192870435, 744740398, 296808190, 190019030, 391478679, 629189499, 297663965, 619248346, 340278600, 689370749, 806864057, 766408980, 47653494, 745385445, 462080799, 681332164, 713754247, 456837407, 368629709, 115270735, 502383869, 408010657, 461299316, 144410168, 414177529, 227499952, 825537471, 182489226, 38652724, 182129796, 571753330, 71322038, 260543706, 802113946, 363166673, 879557250, 736852393, 287759177, 876136245, 112206346, 175624476, 438349878, 238300653, 546370687, 281679260, 433318855, 514496110, 74260745, 371732741, 921536200, 501400003, 882234981, 238065963, 893916423, 644331215, 893843204, 207216870, 31390715, 459894111, 715880228, 401021161, 296067737, 653142445, 746432399, 497767389, 583953400, 915869743, 166993547, 59527503, 973031978, 668905713, 373235937, 960521336, 345548837, 82896564, 620000234, 798158927, 199586094, 784528988, 143253903, 344391963, 438733875, 705023834, 492217490, 273424259, 67979183, 721041820, 488779193, 476024373, 256420469, 393086715, 975785022, 844765083, 712069481, 371384848, 885012191, 326603804, 631719382, 122276312, 23676002, 449615410, 943241127, 783595435, 264155424, 752199756, 929779718, 793646891, 898145153, 378126969, 174052281, 967599680, 499306095, 724592272, 593255613, 47588133, 290378367, 80872648, 976400915, 409852479, 67992532, 179375748, 930906108, 704934140, 905770088, 82809776, 993812612, 69438726, 59721079, 898729108, 790201280, 228307218, 238076460, 576205268, 8394152, 50735319, 724979183, 813597847, 39021255, 255269817, 387015767, 502177797, 522877337, 822060945, 435773160, 677063779, 88761571, 698027986, 205937150, 58578813, 960293741, 224694252, 481375727, 822694588, 846431930, 691398141, 385445692, 290628381, 217417572, 400317471, 204987283, 197123434, 369504332, 713151480, 982392520, 174184598, 357800646, 713830313, 488345111, 536724899, 406111670, 799973966, 810700746, 274304459, 631559971, 146226204, 690883732, 244410549, 65277055, 969225359, 206011929, 147662570, 268262442, 346959438, 193756626, 550527814, 822849115, 554987594, 75060627, 775701799, 797075437, 232648646, 437377424, 520099277, 477666854, 839197092, 34802194, 860681417, 454945322, 362632720, 91482570, 1346922, 230788303, 962708553, 94826266, 178768561, 363537655, 998534124, 584344726, 535135863, 670328769, 109504196, 549790291, 841969102, 238469495, 362039526, 780348620, 890266470, 501505057, 965195944, 752198845, 180614411, 574975433, 746075606, 838581197, 661428653, 364046394, 538756117, 210331601, 755004784, 321270807, 384127763, 736887061, 88242547, 192784353, 430027013, 980545983, 368942660, 98004844, 451059443, 443214260, 324764340, 554954027, 800031013, 272353360, 583846982, 905706919, 30602417, 283464928, 753764772, 746138474, 2191642, 67545728, 848236481, 503884392, 491252659, 498786394, 789596057, 628477469, 163471314, 442873264, 307597734, 70001787, 644028896, 730818008, 950990853, 171129838, 482480395, 874755720, 466720297, 509692500, 836339382, 191861692, 77020410, 546115169, 80315951, 965807248, 884973698, 203167631, 796663249, 443378538, 187486233, 387990852, 595792361, 208850689, 444559175, 958699608, 754269044, 732852513, 973232506, 860290736, 671221142, 989265016, 878355562, 827162688, 340117897, 197360870, 618095799, 935776650, 155095604, 203001100, 183878588, 315034924, 964959547, 480245096, 604293435, 806387861, 680113527, 947373600, 277446092, 459596193, 992782556, 699619610, 922289465, 500660938, 886288531, 395470365, 944864205, 693382212, 367397318, 562985924, 629255011, 985303952, 940575301, 113364924, 546787969, 368299777, 406945092, 62718219, 14406436, 815741220, 61695158, 504669574, 786138553, 1505647, 588767777, 536290328, 203271294, 407160654, 388306208, 292458743, 364239542, 484315709, 926551691, 544939608, 58680798, 993187662, 27953206, 570945027, 598558536, 972392653, 295803400, 616576074, 220310493, 517732420, 937507723, 934923397, 764150042, 155552516, 489106806, 617535652, 504792994, 78663147, 132087223, 298743721, 908587608, 414771720, 556425128, 225995156, 796280433, 372261163, 494231249, 750619426, 705109896, 206269958, 839427919, 468672105, 206815370, 401090131, 367808305, 425509903, 923355222, 882653487, 179006901, 114165356, 712647393, 145883642, 319219949, 815931664, 902434750, 656683808, 495914505, 87688213, 948455723, 25679996, 232498264, 375699054, 793266369, 154606436, 49882529, 36510228, 108603841, 415908849, 840200131, 781839055, 704231617, 584065484, 155350489, 712825211, 913807777, 180279795, 207314886, 171920059, 45234788, 863285305, 306850155, 304842231, 693330369, 949055238, 399411886, 95996480, 706996079, 135642416, 592804435, 865112755, 890810142, 201049674, 374814494, 852909287, 749306341, 165279858, 808442665, 216373937, 220285267, 834053723, 163550978, 128628181, 938528097, 783198353, 357737992, 238206282, 182328752, 406477500, 517044214, 426846433, 16451593, 805641889, 866456194, 746755280, 246515645, 591142466, 637924147, 883621225, 19431642, 33304927, 179272394, 327130490, 894617730, 435187300, 966004828, 347019991, 150889733, 642312383, 494389161, 656371015, 70736358, 624825524, 333112664, 368305759, 414803359, 338114362, 717715470, 770372213, 347242697, 78539843, 990647601, 912791511, 331908920, 436141351, 870505515, 997020248, 738693718, 893152670, 962811096, 479666663, 593356483, 317868521, 604756552, 2295575, 41260452, 2065586, 866156248, 296479400, 618001689, 96658089, 929014072, 50353254, 960801390, 941542331, 356679540, 281066668, 531919265, 953791268, 504329724, 581815735, 371145517, 70379160, 280547074, 330575865, 745595141, 406849654, 759820175, 514496312, 825134750, 716279675, 811200868, 925096076, 746674441, 72766959, 920637776, 713982243, 100516965, 149019013, 639887879, 332345688, 258462146, 329339283, 448883052, 922781796, 786254291, 633497995, 950502191, 716798912, 573286347, 167515566, 191525657, 579828663, 842977034, 813008275, 849590517, 890029518, 422918743, 518019748, 876193272, 152299389, 814164966, 410192763, 108877312, 649183551, 155663332, 894205730, 846869777, 808999950, 548438102, 509958761, 484971684, 756304798, 313567992, 821134224, 992770039, 589815962, 468269185, 936397192, 42317305, 106009334, 192085320, 995086078, 269727360, 556512894, 999654650, 623696287, 131027908, 659367209, 492772098, 905798345, 56498260, 780504871, 174171173, 410468795, 404922700, 247293540, 300453819, 86771761, 241595061, 456803544, 908913161, 820962136, 818275509, 940242413, 195556255, 596920206, 290841155, 720928842, 962650351, 851120282, 747365180, 185482393, 341983456, 957165310, 182550305, 731238740, 90238917, 896413833, 459819550, 62008988, 394590462, 914973632, 654541539, 923567249, 128358872, 373740636, 265275454, 384030265, 181884370, 975870815, 664041056, 588276999, 231768290, 107343489, 473362139, 584359827, 864059150, 586456121, 660010961, 589952053, 90000949, 830707668, 52242640, 514408887, 802800368, 975665519, 733411069, 411023843, 150701883, 506867504, 233252214, 100543516, 699562278, 450334811, 474520512, 50414467, 152313370, 358058332, 576493941, 253785507, 645675377, 390847978, 360127208, 71701887, 506790941, 543944044, 373291593, 249016077, 548016718, 389787349, 863366560, 979715452, 849053431, 569109266, 899288899, 420529827, 225933546, 806681591, 711736545, 25284592, 591401132, 101182231, 242572311, 78668254, 694486023, 15386430, 574162294, 757340990, 502709116, 413448135, 448798493, 684933578, 897001011, 859244494, 855875113, 616624432, 480500027, 722811689, 876760576, 363217706, 297172723, 847547283, 248044217, 662313666, 858437893, 387371874, 921875135, 692152414, 874764355, 332573180, 451541474, 669732071, 512225185, 375471257, 936461671, 245997035, 199386951, 752318471, 689198019, 821418668, 766269485, 702534832, 733892321, 937537632, 202104191, 972415937, 974327455, 114146315, 659985501, 281339937, 24359203, 704270742, 398030948, 587759051, 458902853, 356199809, 856478849, 523252160, 220406070, 30365815, 567011699, 850472260, 825073435, 339214730, 583536753, 608806562, 594522500, 933528551, 303172092, 189520814, 814054381, 113387436, 210557480, 779263304, 811639170, 339573645, 331105385, 215218344, 679269381, 478353651, 350528157, 278106535, 507490191, 654326957, 343661653, 241930813, 727714139, 946088077, 794034958, 208707594, 602524511, 476419465, 956242291, 915356158, 887223299, 625445507, 569325623, 580242928, 838149458, 567403944, 904006067, 998985567, 684076456, 727913110, 715085526, 112725420, 482427640, 788897704, 969997923, 278065723, 506021059, 38298957, 496113172, 503777158, 997106999, 464128506, 571314827, 126911763, 475763612, 477759673, 737383355, 818641277, 727223930, 165430750, 137948166, 945317198, 354976160, 133375289, 590700590, 782199799, 169494189, 299575739, 951584377, 364982626, 444309544, 160243111, 456789725, 607930218, 225813748, 157773042, 76703494, 253989042, 736351242, 472007927, 442568329, 600563762, 92512244, 750184612, 851256613, 236864583, 271108420, 447281723, 62925963, 158503424, 491292144, 652857420, 279166726, 891017777, 373343801, 108209094, 734119784, 498003584, 892727251, 72506095, 488927670, 7450717, 506825671, 769350627, 162867061, 506181949, 42822397, 531232870, 765410567, 834935492, 297179229, 934792014, 706054342, 794823780, 84978239, 466899742, 993206581, 698004665, 330459783, 851702784, 95164086, 729101474, 801088659, 504423255, 826161712, 275217587, 97551799, 326740501, 333400229, 248217849, 883318318, 5523328, 419177756, 701911667, 822492098, 324613462, 269270190, 495917377, 136806735, 324222161, 295036684, 522843008, 554185532, 163757284, 134964034, 650972125, 668935378, 655882972, 886041692, 673874056, 386776814, 573941503, 25212222, 422331882, 561413515, 951170085, 224115479, 400072905, 194092773, 596921003, 427611729, 515891008, 498974187, 641612685, 157798273, 930114736, 456694074, 298959773, 743308512, 960247939, 133889093, 196134433, 469952609, 543586914, 495069289, 671781924, 446144350, 7140390, 378204170, 147234912, 3291195, 630273017, 829558408, 205668991, 546357810, 341337177, 874969086, 112654721, 531077799, 542684757, 40214345, 639659725, 739409073, 746313359, 8350195, 827020479, 778676063, 403495582, 197375135, 11786664, 941112542, 450008277, 774925048, 188271075, 821885984, 885784316, 743637794, 660905401, 971354369, 287100135, 604637885, 296412734, 521220971, 402828864, 51472792, 141426236, 19613888, 806539194, 736039840, 731564273, 143618918, 737354059, 236491340, 77263520, 616776772, 176546391, 381956369, 152912501, 262594699, 412179951, 897316581, 598328556, 20990523, 200501225, 396829036, 486150070, 237770707, 97376287, 679622056, 307680806, 792633934, 128585358, 257905839, 32307251, 581199715, 221515029, 784885275, 714876395, 945925756, 903250776, 317830733, 392940838, 963765795, 487003281, 75746729, 759494684, 822119460, 632128897, 946501222, 210437508, 211574125, 307487911, 91374330, 347093493, 300869199, 629918265, 863398506, 691727507, 556097321, 911245289, 558657907, 831742211, 6197548, 928754438, 394757287, 192939002, 54011045, 462322708, 141826995, 253602635, 676714601, 300398342, 42660931, 314048528, 924880066, 671947283, 365257727, 246002610, 856836338, 601401807, 81046531, 902273265, 580489470, 439173088, 713176159, 544965871, 583974630, 906840000, 334023962, 993048428, 227500428, 82890007, 357271232, 559050200, 500847662, 382909240, 41555471, 482606795, 392867781, 968094403, 614888831, 667021159, 834537318, 475406475, 535130731, 76173234, 897459893, 820027663, 745923862, 197222401, 656373933, 944473418, 682892270, 861330419, 330917468, 805107152, 529516787, 842157965, 758540540, 899195004, 192866260, 298251198, 911024998, 281642491, 366305018, 93321393, 933652497, 187369244, 994763065, 974563094, 286465012, 6876626, 123240400, 899041496, 891524093, 587219766, 510648609, 886400812, 717605711, 832639454, 456586840, 890305724, 374322663, 476948864, 714521798, 806081834, 154913863, 184507204, 565017645, 359360942, 226227207, 943805354, 879713891, 28300463, 844046586, 706503012, 15031623, 602891221, 449994011, 429292701, 899847770, 909535767, 865536546, 622078150, 66601641, 567722822, 828035432, 935175598, 935782124, 325407749, 463188457, 353894608, 749505837, 158440462, 702923608, 420501860, 989087570, 503460816, 271912181, 921980537, 87500768, 227684280, 351077163, 128327765, 836013349, 82461624, 295456421, 386637263, 600156233, 502322651, 645144639, 332803155, 139250169, 724016152, 740528942, 216488748, 298324999, 69466573, 838604549, 119698605, 835581445, 559518287, 77580012, 109155046, 609068539, 679255046, 782439433, 16960034, 914500321, 188266170, 959524768, 375096550, 3094361, 818577996, 88376119, 295387788, 937771268, 241726717, 19483933, 801713227, 38845511, 909129618, 320998733, 947880729, 274312683, 583042620, 327502151, 392250695, 938063247, 433806210, 320013106, 247561395, 304723446, 611800364, 577060365, 518782308, 952367951, 819385379, 203754331, 711291907, 290605789, 749869057, 733529888, 633003904, 594843571, 192144646, 342115005, 412233315, 924583709, 97759251, 432096176, 406625474, 60904078, 950288812, 720563991, 986529732, 27726928, 826628963, 330110044, 680618414, 750432866, 704987127, 349851229, 957446793, 994106082, 964714593, 339325676, 568810410, 185071587, 902279601, 913974357, 494139547, 446348148, 709195114, 953091402, 56379663, 367959861, 281772441, 175196907, 193158275, 591846189, 893584006, 900705808, 703748452, 924796691, 955182610, 886452586, 65435036, 635566900, 28855687, 443491459, 690061446, 556798193, 9778386, 460625734, 646822056, 716713751, 730066421, 477579974, 146209395, 847190339, 176173546, 40613475, 50420939, 551346875, 271525429, 643454834, 986743868, 370646383, 665033659, 924577549, 546684285, 938981083, 624381953, 527738628, 542018238, 2038188, 145725045, 237290896, 997676911, 450178420, 912688277, 118435639, 11486528, 705900202, 202431677, 192518381, 671602045, 524597190, 472156307, 798191456, 191013884, 934641081, 489337562, 383463593, 768395147, 229903967, 631270075, 540498309, 16900237, 929809699, 373270149, 248241931, 748287763, 377585869, 171386530, 720126208, 398399552, 746424329, 780422708, 263989991, 144150331, 345958011, 184078779, 849716529, 276430122, 605908393, 326539204, 130170106, 563687452, 588859714, 674283665, 773268553, 140985367, 442740209, 932840764, 803692213, 776248623, 102992327, 419190881, 323989045, 553359913, 451617740, 599999359, 949584992, 352146874, 8417860, 650074816, 636395179, 768103782, 682960839, 553435832, 98017018, 806524428, 153285580, 876112460, 709111592, 603725337, 82707016, 864503674, 532395304, 763740367, 320428443, 379729145, 206378202, 680903181, 310883041, 445254189, 126149027, 273461883, 790776573, 376515829, 490534546, 318491172, 588756105, 312761075, 842506060, 139182834, 951966515, 79500949, 316087467, 752278281, 351106473, 348364212, 649911847, 858572035, 849559195, 766230357, 961896111, 988444396, 300011676, 612853334, 455255122, 140179071, 619331365, 954812054, 800697415, 514517471, 699778998, 758837919, 55278400, 516027398, 350535328, 781676228, 478056366, 349769427, 915507737, 376695263, 736494145, 149726433, 410799331, 311719233, 336582226, 464149486, 521637541, 192169181, 442290372, 652236634, 479169732, 155712251, 721111414, 680393351, 420535896, 798964537, 514829309, 988764062, 666186499, 853508305, 280825326, 656624234, 907253455, 430487118, 326331827, 545746561, 827210170, 373350456, 880494766, 936340106, 709879081, 671019740, 615892470, 443164028, 123400371, 326315738, 95200497, 627134840, 991822544, 437718122, 592920007, 904605167, 905083519, 726598280, 597140825, 42194731, 232502620, 230014486, 395654696, 673026577, 34860748, 8399639, 487126339, 602543803, 183266410, 486233582, 622113033, 226354871, 513926678, 57608157, 838319130, 70955021, 858358992, 905682627, 353579736, 735788126, 273412180, 793891862, 724650768, 237352722, 220878161, 286383119, 873889021, 448770918, 571576457, 457064700, 808457106, 917436360, 98816323, 6170200, 728387901, 363854644, 252591279, 274048961, 7956286, 637650320, 256711099, 945972172, 579818106, 78260003, 827183598, 478105170, 515727903, 782298425, 683020935, 286579514, 456793959, 241673300, 940919299, 151633926, 479483506, 783637880, 744563278, 194826046, 681909654, 39401860, 871867480, 657387639, 352880111, 58648378, 558020170, 617722759, 318251790, 170015800, 162945446, 572250893, 609284472, 479951416, 334825495, 697419076, 222518413, 396625552, 215892174, 435841502, 979726838, 498656066, 50438781, 402675120, 904655923, 954618407, 995106918, 976073668, 274170531, 452417665, 494657303, 48000351, 623413256, 489764874, 705184329, 54333014, 147217316, 380916964, 982762341, 347752784, 840431395, 512502012, 827240979, 827374545, 988905570, 6691096, 505607621, 851226644, 941414337, 139757636, 189794485, 636226035, 544814232, 838057823, 246615043, 857037689, 429695095, 563521819, 700350061, 314791528, 759275308, 106136809, 863215350, 890722174, 513201198, 169588058, 18407361, 244698626, 849811136, 523102482, 988046602, 937782887, 198214237, 614732875, 630068637, 776909733, 423614087, 954107868, 971491122, 626364901, 782341807, 205066338, 211662798, 79759682, 771776143, 296281276, 54867662, 182304810, 456507748, 875738804, 38934346, 513924246, 67624364, 441174614, 592597203, 887963047, 671412907, 81132428, 371466099, 369507194, 791536706, 405337304, 86703244, 176293055, 999075953, 745554972, 204186361, 893201172, 902183545, 232118291, 783284181, 583351046, 462807027, 880136338, 397240388, 429481088, 935167180, 94816457, 835991466, 140864722, 480726275, 578198429, 856901163, 610851517, 525053793, 56521769, 819030192, 953111395, 380870582, 979283515, 451835306, 177019966, 106203176, 40984474, 458810736, 35062861, 94798699, 410892526, 757973576, 760225808, 144301397, 438487129, 458087910, 617841306, 53862063, 881474555, 648725032, 625850869, 106846793, 59103321, 130287170, 55858190, 106256979, 467609062, 733529465, 921660093, 42651837, 287224135, 331009045, 739351487, 59263952, 997062136, 25975033, 185527666, 792017077, 891541964, 20833729, 813291921, 652900308, 212233283, 154043146, 364259532, 839047024, 470259066, 944742692, 41438365, 431113069, 571174040, 442001780, 573198268, 878497441, 132693610, 902642512, 23692264, 852735461, 643391819, 665958762, 221963136, 749511817, 579518106, 5509355, 630358796, 910782109, 113100991, 192061930, 597184570, 716798456, 574838673, 76997997, 479259004, 234621367, 931318381, 608674963, 29866866, 975279414, 502991113, 434655698, 407023589, 411870282, 624474665, 274221751, 99950408, 262106537, 716845021, 337077676, 609345062, 519122507, 304289114, 719951465, 176110, 954987274, 815425092, 71039173, 710080504, 81802667, 591535768, 229776424, 753255660, 366725518, 165047097, 551944877, 80392950, 640999654, 841446938, 272892163, 438868922, 559793645, 171495704, 60344413, 243984976, 764656231, 158874348, 895875300, 270565635, 304699972, 354588864, 184701914, 893713292, 933071872, 45850169, 525883529, 689305900, 242554507, 57949580, 323918702, 101033909, 627515772, 406634322, 136135600, 527436270, 112688027, 171304360, 393831291, 586183317, 275121519, 263520185, 137794446, 28125746, 620367348, 504148197, 538271959, 175747565, 185043089, 986833262, 312234376, 319599038, 734318940, 351400556, 216417579, 990681532, 112333277, 41996147, 774213456, 300932224, 453811385, 266081497, 61674859, 585868369, 171763549, 673828718, 473270348, 702710701, 637874468, 464683132, 582244949, 806149756, 764639168, 513696848, 338291917, 456000069, 627643430, 298904242, 251893994, 293059545, 954290084, 295451152, 760257821, 72194535, 771892440, 100458621, 168583877, 843097152, 759290206, 725400684, 566933715, 967502404, 176293142, 994525645, 325106871, 783667701, 924375833, 483334099, 290840983, 442401896, 404387225, 470441542, 781870448, 699909558, 856628449, 138270830, 15404944, 265728940, 544184140, 233968399, 444536340, 993221223, 451426594, 503397701, 360556046, 323610031, 298766218, 964482359, 63537228, 869661946, 558806744, 818817797, 915391262, 482475944, 503546583, 390943121, 633746812, 279591874, 924859066, 208413322, 879899082, 317222003, 513817540, 606889261, 799186780, 730547604, 322327396, 431469975, 793382208, 173561212, 786905107, 380400206, 373707612, 880782649, 963531696, 667116659, 190112770, 993269622, 964146561, 767628943, 804378147, 599274498, 303043090, 963770167, 699452920, 407487594, 524024414, 121796924, 209262746, 754647745, 669101433, 579471, 513069676, 737185823, 418631796, 695520704, 234254946, 773037087, 559865799, 481101916, 342912787, 283825443, 562977445, 340069583, 155078035, 980182810, 488659457, 202466600, 803091352, 936976299, 297769593, 949965738, 957792076, 298368043, 711194837, 597086919, 95857692, 664946225, 271093470, 34373913, 328645400, 563232451, 548159833, 370578326, 341724629, 970549012, 591472013, 847365157, 114268571, 722927905, 502447327, 255313162, 385122142, 927473524, 979135073, 591906203, 39050727, 510464489, 614585705, 622637922, 420776640, 509461937, 161789328, 792251179, 776709370, 567866941, 785129893, 490536534, 921640074, 900064689, 134379550, 564983414, 178914109, 114331868, 994623611, 898404498, 561919861, 576618887, 627898067, 580860331, 20603532, 769682024, 199635178, 575226037, 279515065, 803439446, 424828341, 261990628, 23433182, 733710688, 139333207, 767734981, 433105596, 660640752, 278130782, 109192457, 839583446, 447875256, 998085433, 846337512, 117751281, 617136025, 723718152, 419778792, 955213217, 619319990, 44924395, 816057871, 743856842, 984688650, 417707366, 535204575, 932319570, 499027506, 757931450, 405807634, 198275254, 980132060, 396039667, 773943660, 926781176, 402287440, 629006096, 538452985, 404137215, 136426050, 741093962, 753989209, 257877342, 572462575, 540950406, 344324171, 70391687, 778181364, 955321310, 587315315, 701178046, 840234656, 225094713, 308147716, 838792576, 577487562, 428502981, 653074512, 590610055, 22598444, 21969844, 242033708, 200611577, 913875283, 21876486, 864542873, 466860493, 25129619, 25861233, 497900922, 348987843, 146526320, 542646176, 435079770, 372207157, 417808697, 177347109, 664264967, 731449192, 270112119, 619416470, 501592599, 945285293, 775436697, 64684103, 881390905, 891804122, 292170167, 118540739, 809761542, 342847561, 45686286, 17746520, 222267418, 530720762, 79757126, 253665319, 52359476, 973757830, 343395681, 349734517, 779132365, 633288479, 428790068, 735405769, 936327, 233381154, 235513417, 230466169, 729889208, 642147090, 264047853, 357577935, 396460793, 17007473, 905811528, 651024950, 770437648, 31356370, 949893395, 452004702, 607769622, 253388505, 928791893, 483206806, 15949365, 70764511, 337582256, 799890148, 50790079, 800223418, 421005375, 833478899, 602288424, 994690921, 844945588, 727969738, 58278989, 478667095, 377425093, 219545894, 432428602, 999338857, 678478121, 179889098, 623037361, 575912807, 90750292, 523987250, 774673273, 2931546, 399612618, 797302772, 8047395, 421356798, 196796557, 825496749, 591440418, 577121907, 618773777, 363632593, 213617612, 853018562, 180469239, 961617719, 310023263, 742673092, 655797100, 861038177, 797995633, 465619274, 854917557, 123935363, 443643673, 394051857, 90279500, 490194570, 83428862, 430037524, 610041888, 311163423, 520620262, 169446134, 808117550, 632459432, 381251382, 346320498, 161215196, 704184307, 688824397, 514266523, 66767622, 586999323, 306657051, 753063585, 74564118, 993075793, 872789450, 906304100, 218396656, 577982969, 610374013, 702670844, 256984048, 872185032, 208700944, 565405050, 209770397, 111430212, 145382655, 141132443, 952829628, 915578955, 875330929, 674809968, 891091669, 467382882, 402830535, 105814930, 381274054, 84882080, 555155219, 71716099, 81058288, 113633678, 429414773, 643478179, 282900296, 180887696, 101813286, 582886359, 926302011, 127830490, 974561999, 678979957, 675810563, 375230659, 251575431, 800128462, 589823166, 573359566, 708197522, 912006365, 251823052, 490901285, 813346737, 487054442, 588098708, 160981422, 590826962, 167504460, 136972197, 824608063, 475195129, 889909517, 110895714, 160321121, 552603184, 920553189, 125616, 137676272, 396242954, 130709706, 531011987, 114316378, 577851397, 885029833, 108135122, 152740409, 739150447, 100715168, 411667132, 402176397, 703079243, 545106065, 978705614, 126221092, 650389554, 313746178, 264361702, 412538332, 34271410, 820810110, 797295926, 180883545, 703461511, 539699710, 458898889, 15423689, 394876600, 756894171, 204056690, 692078708, 42292733, 25739014, 131211609, 674999466, 75862537, 503311196, 357686483, 760240237, 237647953, 535155316, 242230925, 326263516, 754612079, 586766296, 843895003, 651214819, 285752803, 931658651, 191339174, 203873908, 733326685, 872130605, 25673318, 971861256, 555079522, 84129738, 573747161, 355027765, 954081720, 418893878, 833372449, 720089116, 363921348, 925613852, 452403950, 284839614, 602996529, 974354701, 904221851, 218635168, 203196222, 71410642, 196847096, 172839711, 894622134, 709570724, 732459572, 832165085, 943571413, 760445692, 763530951, 217170005, 501593706, 198934970, 224464895, 179615431, 737325133, 652926420, 658044632, 829284550, 407788216, 928500387, 846501560, 832629424, 730184349, 748959037, 993263004, 483341165, 760577570, 766246230, 185966985, 899426837, 430861015, 412592063, 221554189, 592046348, 370745595, 147080153, 429956703, 204342011, 534758139, 477671890, 383591193, 649229183, 803175346, 543054612, 983774914, 755405964, 851439346, 475030812, 960070022, 347640738, 366119567, 81137461, 287914088, 637020556, 696062279, 600184316, 597550213, 307991163, 627140047, 33844861, 741156415, 174973638, 574924861, 502004294, 491152708, 371933489, 438599924, 587503204, 193675146, 867012871, 274780783, 941157221, 449928147, 747475818, 288524351, 90529330, 290172614, 70302635, 82436581, 199034166, 780273590, 637808001, 477744689, 700640330, 972326100, 644125193, 552632007, 96183701, 678074581, 325174055, 945207565, 301517157, 888945905, 81566506, 337123444, 83307725, 604189118, 408153267, 10114851, 892666301, 430660969, 282910377, 645991093, 975760701, 922491341, 563114517, 413834577, 608867809, 702678873, 93860474, 240074889, 287619413, 687601022, 587446313, 190697662, 66710624, 674239863, 23759387, 77500791, 306766612, 409398851, 627519898, 892641270, 346119516, 284466612, 336799609, 782919190, 91984401, 341136087, 668652196, 264866524, 894091373, 910411446, 305660546, 850604912, 368603531, 564185476, 756115901, 581148958, 596575932, 723098293, 810811689, 913143023, 151599645, 854619381, 889156821, 529687085, 198061242, 364390766, 284844314, 996488966, 836507816, 377375165, 487047340, 85104984, 342239169, 531699480, 920465303, 597966992, 890413931, 54449645, 405975404, 344339940, 539846152, 470593371, 982871602, 999770783, 687080452, 333132915, 995794614, 700662458, 657704829, 458172140, 852366457, 892033037, 16098443, 403744750, 153717031, 271167945, 319392064, 978886419, 807618453, 276595107, 210811421, 786015306, 723887375, 473100165, 703954414, 919750518, 559613824, 730762418, 464465081, 172686743, 797703304, 81655104, 24445208, 141972075, 727565736, 346267315, 704764241, 282371565, 566660583, 765413571, 302560684, 855886849, 327446857, 268072995, 848079230, 642483112, 240138770, 63004413, 420838215, 428052926, 689971987, 17735377, 40056281, 542960992, 240791257, 938461643, 875019804, 704770908, 500797649, 847535470, 24200970, 869316303, 164334954, 635671329, 436468370, 292969748, 756640174, 417497368, 945587124, 949382707, 366282432, 613919734, 589840291, 448881684, 800194301, 556634614, 330028859, 401982489, 411682499, 221062819, 919817980, 781624956, 491813524, 503434815, 8759396, 44031875, 20864087, 661420038, 441518512, 370031045, 146092060, 708630917, 526594381, 875883167, 799549479, 649041100, 270405497, 214632309, 512954334, 651999541, 241597439, 981291010, 5848525, 666523910, 123504938, 443285828, 634468868, 436414601, 510406000, 801551761, 531835613, 348954373, 585619485, 521498960, 679477350, 930221422, 799957751, 189755282, 1457352, 415701017, 724751331, 4222728, 397645388, 782331041, 870241151, 716445163, 165413954, 328116809, 940753698, 398122521, 157281967, 841068974, 369059355, 899260451, 600164635, 618898110, 132983072, 652704045, 597401296, 743971057, 378882954, 545752642, 144543907, 779751315, 902491077, 64784838, 361065245, 237387461, 972159779, 981493685, 772257605, 7872904, 173966631, 829401986, 217882632, 185883021, 385536532, 199384449, 77521529, 104413257, 504844988, 9386376, 136063584, 25580340, 800622837, 580449079, 197138693, 810700347, 763720982, 710241975, 415333057, 856117621, 440012626, 114874418, 883151394, 988916521, 803164096, 250309293, 17129655, 347825922, 110647442, 483309937, 637003058, 386259388, 802673236, 83851532, 386284368, 603113310, 287899051, 314487419, 357672055, 132138283, 153757680, 643352680, 620940764, 729354284, 120444471, 317296061, 244079872, 837361835, 328559334, 20753296, 607766336, 275380364, 474104964, 304815072, 554859931, 702578849, 299080134, 359335896, 273841164, 425700489, 391169404, 737455720, 174690882, 348945851, 539790326, 123939376, 91293241, 646955702, 910041041, 546962165, 698330961, 950246518, 491395984, 873356226, 525474239, 363683933, 797599340, 457775551, 655032397, 255530066, 387557965, 331626276, 174616901, 631235849, 301788375, 176275910, 471394126, 804523931, 188267973, 111549293, 762548196, 656012815, 773597299, 925800788, 742909561, 698169694, 284889618, 507442591, 535598797, 986885029, 956922608, 360737463, 181535042, 412633748, 415334195, 996174643, 123053682, 260358171, 581047315, 134878294, 838183063, 302086397, 504235848, 500593555, 286601363, 97145024, 374340006, 644823136, 942490885, 444650363, 975303189, 90817293, 815477264, 624435770, 655205631, 122735593, 974382955, 310837117, 888064814, 865550878, 912960868, 769355029, 291185785, 826544564, 174428626, 304974552, 95866444, 987313881, 820023723, 967368714, 74762275, 926055517, 383165581, 419141944, 977896516, 513039177, 337388264, 170779735, 716724714, 756025030, 408834521, 306287555, 743885292, 426085681, 909637787, 387178645, 280140144, 91051996, 982026219, 483325865, 20848431, 872255607, 840925747, 479195087, 227339302, 179221391, 218557659, 459990279, 582485153, 318270090, 814083344, 162040399, 914181390, 169539254, 727379327, 384270613, 733185434, 506372503, 372506400, 839079012, 502848401, 288666702, 307741746, 308806047, 113220437, 486000339, 359901345, 232543336, 452962805, 775755558, 494592194, 403968024, 299804084, 652727332, 712368182, 401426835, 22803499, 59321479, 828497152, 487330172, 851301692, 749979448, 570884023, 240776933, 680251868, 789206582, 928290712, 524972703, 984929998, 399739037, 105898794, 782263936, 705272165, 744183733, 263769041, 73042386, 305403469, 182852066, 898637099, 403636833, 577839025, 382244008, 700411289, 427050689, 299408758, 57799366, 540377616, 314427536, 335922353, 678469802, 416008735, 238007752, 803793488, 369580307, 233746272, 62634076, 907724679, 149464782, 682476550, 275541128, 530586550, 632813157, 400233055, 733622268, 40415373, 648246963, 526588515, 63744929, 392975655, 471355883, 482216171, 270893265, 259914148, 763215609, 280441023, 354647789, 303590337, 573200363, 514364054, 195579685, 122440561, 273551019, 829526533, 452504895, 122859094, 835608487, 421139542, 69814697, 658438382, 394112913, 944889133, 78509925, 992671430, 691182454, 695950249, 759893060, 405924113, 234170727, 773956275, 162153016, 287942660, 73294111, 566679839, 894485073, 289269385, 289244823, 320653827, 433078264, 919780754, 867145535, 996622318, 707182271, 718742226, 893027897, 236205907, 434486781, 814512281, 224605077, 955837111, 875209639, 190787491, 372003612, 52574486, 942782287, 969564442, 254820388, 916114610, 679392192, 64306857, 765030639, 417169671, 530084215, 343565573, 233487673, 780160623, 507440434, 197036761, 171241425, 863155419, 350747029, 296274814, 476582563, 243377294, 83771912, 84289201, 242627975, 434498222, 180509420, 88337802, 185962172, 617812012, 689597309, 163826560, 879974789, 418932665, 788363400, 649435529, 313121009, 441247062, 804318444, 359354768, 16826418, 173443669, 690525261, 762296764, 701860841, 524413693, 506157616, 198111318, 343513656, 867236064, 427051449, 272919536, 770516746, 956084158, 84357991, 362770002, 543111591, 6570065, 759336084, 83210205, 464997011, 419204961, 655827446, 822604194, 424985875, 500292197, 464214774, 668355495, 191803752, 26604015, 130184027, 989627202, 811824158, 715379195, 314529946, 467392798, 719861441, 781605620, 866657347, 911687487, 204736972, 442675495, 688044889, 39555227, 885934716, 891401652, 538033089, 74522073, 458231477, 553377229, 863054851, 857388030, 571332261, 747981575, 758683549, 519140828, 154459506, 194488988, 301982461, 604978022, 868006553, 724188988, 164119254, 195299280, 626396112, 670359125, 716573762, 817495378, 723227450, 294748272, 539658078, 432647463, 850138223, 281278771, 467448083, 276647092, 829422390, 774123976, 107540797, 450361185, 654203837, 921742552, 837815216, 645729845, 567468688, 327854146, 991014820, 278670012, 705473149, 82490442, 307224677, 326174317, 340256878, 388069071, 334141078, 182695636, 549986981, 199293461, 40613842, 901920648, 383466863, 988407925, 830700785, 746709104, 760238366, 93479607, 788611170, 782637518, 294902754, 176853359, 681818848, 292104163, 390786442, 217312947, 727921253, 222861294, 580816464, 264604036, 467493624, 76113899, 424199101, 560298496, 477306126, 605602552, 762949075, 449547410, 504834483, 829741001, 41108046, 997569313, 732403339, 844256007, 699010282, 603681822, 156479606, 743981007, 758352726, 205084796, 975860997, 475132554, 994227225, 571362817, 321557828, 156850919, 418589535, 295176407, 156253492, 530911542, 814793153, 416053097, 974803241, 600568189, 891672873, 540255959, 594091194, 54205458, 702587399, 574414878, 294014328, 198722730, 627471403, 156221301, 382378914, 847163951, 17890733, 792085531, 643856183, 793920644, 910551783, 105588522, 208099438, 595811946, 940982753, 5536712, 497075722, 520374060, 666516091, 792872826, 262574794, 142495788, 259182803, 713513118, 918485955, 894362175, 641330324, 642854117, 212883516, 337874956, 913610201, 519256267, 617189990, 979845590, 63258922, 803629268, 903376767, 741564646, 109689142, 928663428, 26304111, 464039784, 410381781, 458037366, 153065117, 229454854, 573531528, 22025851, 751323774, 172569541, 420485529, 662898764, 97952645, 682156554, 964219953, 164396834, 196608774, 550941761, 939096635, 5595671, 945819150, 601219060, 120895320, 220433737, 582245488, 373112511, 930899441, 796692406, 388050432, 468529597, 581321720, 970821313, 782364856, 504663116, 121797561, 738682416, 692912336, 100115111, 952427749, 971436316, 492916765, 32770663, 732855395, 686561832, 157073175, 589552039, 845092955, 715461328, 612053455, 470563790, 94230660, 609908077, 900831433, 481053795, 681448784, 276359455, 47099521, 528093896, 727568067, 396437597, 877656698, 140024573, 896926670, 88006388, 666298201, 151838532, 2033748, 973324745, 110800056, 556600124, 645760244, 267441251, 422538960, 537711253, 957675873, 349779706, 798698292, 584433957, 156465950, 738708536, 550165857, 873940927, 118694024, 973012534, 256205146, 427547417, 887471560, 341036540, 9208558, 288934787, 333404585, 98357914, 118442527, 727299405, 846528301, 630314507, 98050244, 760308536, 967371008, 317970053, 836470719, 394194162, 662605384, 243892023, 503884319, 134918108, 203217364, 809675514, 66601684, 97114772, 670707391, 851093923, 445306183, 157007255, 137706639, 51874766, 9809288, 836573986, 336147778, 909833791, 522625770, 838020734, 467934858, 377725922, 745883066, 131239622, 757752772, 922920780, 193307292, 517953129, 801318804, 226474747, 269116853, 736749125, 441583472, 712146988, 685049199, 78119779, 164730875, 36005626, 305438515, 526928065, 945133075, 546176363, 943268166, 265829440, 679987812, 967023789, 292593413, 609171096, 502200795, 665814214, 877986797, 589801753, 333795858, 223793822, 235448435, 775197237, 915495777, 723189118, 161171842, 284458039, 756369167, 244348660, 122961602, 77066766, 431018476, 751710128, 93539935, 449093294, 993242411, 257619570, 418869751, 254725444, 825550535, 951282500, 222153520, 627202437, 875136225, 484941958, 606180924, 541677836, 539919200, 144890482, 543473800, 872283146, 672339343, 741884423, 532207743, 205957539, 101238918, 206822200, 206632778, 37217643, 593170436, 930477122, 822987279, 296056734, 883517457, 894679798, 217587536, 418943025, 316432521, 197388955, 910994248, 35491135, 817526725, 616506906, 282153566, 282280791, 149859963, 920344477, 169520238, 392541959, 459318395, 165725395, 489155428, 824192995, 594134078, 621206309, 524794560, 458113747, 816858049, 693641553, 764559560, 9431971, 955789856, 235586888, 409390605, 593408282, 888938179, 199200181, 786567341, 16168104, 518033012, 654953780, 391266117, 73514264, 253014739, 869306528, 10510685, 698656125, 65052317, 145576308, 196278790, 682487181, 771434702, 189870854, 407975577, 560486089, 413436509, 450397455, 460244393, 337998650, 332755560, 168200870, 347410448, 575146860, 346155195, 498568497, 620525262, 654249163, 981733908, 715020440, 161822169, 266879256, 301822116, 963810867, 201446273, 746620437, 608509347, 112438487, 820848191, 342520165, 237476236, 54951198, 821673979, 91876169, 52474540, 156321410, 302102009, 401354676, 865493891, 200927574, 114156900, 885637563, 534388200, 929428249, 136876894, 138575823, 878638396, 662501500, 618481625, 409405863, 405671081, 999189126, 936786431, 870497169, 107619032, 816050077, 940488768, 658333857, 965928108, 919875319, 649693911, 557885370, 505364267, 337609574, 24054125, 427882916, 235671981, 753538156, 96897412, 403111963, 62648200, 307827137, 260416097, 359700360, 353915650, 403412080, 903996490, 190394454, 117016851, 416552970, 555384808, 981423960, 179648810, 900219112, 855489246, 438029458, 304423879, 819282344, 814153105, 806928920, 503320427, 962934195, 714169196, 971770969, 919932591, 901019470, 427236479, 725070563, 886136187, 100873028, 938076539, 378221931, 965294338, 676286922, 179460046, 809548938, 84116570, 571957521, 505328100, 575991326, 938761141, 739617991, 32116666, 339449102, 755562453, 536477136, 428955686, 285029089, 608820846, 601632137, 585123334, 734265820, 275686238, 599819255, 177423985, 570998061, 843022682, 46197596, 751938049, 558791334, 401257299, 732591099, 620431785, 422106706, 940569562, 907639482, 31918973, 684976168, 919769499, 906832728, 629706579, 5997595, 558421320, 354740192, 846629863, 279217733, 904927141, 721592106, 480642131, 864266943, 10363155, 92889442, 888533585, 132239001, 359963054, 936595993, 805479966, 558933530, 171439484, 328379250, 216351890, 262227900, 669060313, 760898455, 216656030, 199691858, 807478091, 829257860, 576112661, 581201850, 847703443, 542764930, 163633088, 886922893, 521650120, 559782044, 896631854, 653997783, 247697422, 441578618, 698773048, 655025152, 89209255, 762715264, 792242005, 461633275, 527815311, 903630576, 647806830, 580480762, 867917277, 248389159, 621043481, 10280582, 15205142, 171378898, 579730760, 808231349, 821974455, 285993711, 829643233, 550141721, 469875199, 282498818, 678635126, 409538803, 608697256, 761061975, 275920, 151529951, 835714924, 637341464, 941908749, 932741412, 874815790, 291156686, 823515369, 662740572, 642989393, 234643365, 771932630, 209507701, 95551246, 392531924, 378897692, 963870317, 771717701, 560572965, 539365844, 57495080, 424541204, 1387998, 757659636, 161022548, 135539696, 603921405, 321438152, 518033910, 407329945, 860449205, 548810091, 517350564, 348160599, 939355261, 568696443, 797090710, 86182254, 214652160, 155388732, 530768237, 780186328, 988131572, 240600933, 213993042, 649001169, 74006774, 163822237, 538446340, 172837764, 996299010, 219609558, 513383176, 207339863, 657566528, 821005453, 798157684, 492787788, 35910368, 673828729, 152397120, 809715620, 924249074, 895451593, 497922846, 601730919, 523493322, 981316619, 688187212, 297344226, 313504134, 642505665, 757240812, 246782730, 961185890, 377787235, 972116499, 323673564, 577160537, 691007405, 865987875, 126391307, 43578183, 152613914, 29904767, 196543498, 985184084, 79718155, 387601429, 659136098, 607955437, 623590482, 871824502, 433540188, 289370567, 758267797, 534176456, 469460523, 581379132, 218856341, 6014557, 715612596, 166356319, 207590615, 51010290, 876276788, 360195180, 493755702, 768620145, 526075515, 988212109, 142726848, 497074768, 645637277, 973752686, 812506307, 151225277, 23675143, 633391966, 517068035, 46441398, 485634209, 441194298, 18800507, 861260214, 828895960, 333128812, 994424408, 473955171, 820017131, 432481509, 901739721, 689324600, 842986424, 802190135, 41447207, 59573252, 478217273, 846052567, 761976075, 218942333, 511105652, 142407174, 774646236, 637614523, 567480767, 497466427, 750729873, 540603479, 530437559, 584988874, 660103741, 54402571, 666039128, 816876089, 776739440, 317934038, 740793766, 789212107, 214733437, 687019066, 558878137, 855190716, 939200870, 684194903, 890025384, 116443472, 413137034, 851155627, 470948631, 573641262, 678761998, 241440140, 656359724, 294333156, 830424185, 853120203, 298105605, 939921781, 265531098, 23261188, 589689140, 696819440, 805351308, 810115053, 571556129, 549052546, 131385622, 449344866, 142678118, 54874669, 640037201, 215237806, 687638983, 603448636, 849615256, 686651923, 362917935, 813083314, 696494932, 658447348, 602576869, 117130957, 403640422, 238515790, 388807260, 148608790, 520525435, 593176871, 75585276, 563471824, 935397756, 900252782, 385952433, 273199043, 576278613, 834030346, 761976397, 364271165, 233910377, 649887106, 242802337, 510365782, 567292527, 974802654, 645992901, 918698423, 554554102, 185921804, 875850432, 321758812, 845410025, 173081883, 290270340, 955087799, 915214995, 883653151, 541719090, 465931216, 677385356, 230394276, 691454722, 541976669, 498909634, 969729317, 439973921, 908645556, 502113407, 783538314, 837494078, 309298839, 682397433, 441549997, 657530622, 839152811, 220499618, 139132741, 303832054, 483475412, 421549441, 541456843, 32556178, 384615327, 878831984, 487451696, 475697578, 783738654, 29882584, 849888506, 503913852, 798176312, 460050124, 642040796, 741899064, 368924735, 462641121, 11618581, 924308383, 786162408, 916427386, 450615234, 263080252, 732241820, 817550435, 540271628, 855309529, 368197354, 554525522, 658529597, 42743878, 880381714, 709207460, 820503126, 952737217, 994504528, 631526188, 924178415, 603978253, 907182509, 742516580, 9029989, 273210494, 57439265, 805701560, 460993834, 351672013, 183726833, 112797993, 147801124, 762554217, 683347526, 884048629, 902257288, 973159532, 725663790, 251232490, 579136773, 516612720, 661113235, 244220398, 200272805, 975925524, 495914531, 340209729, 290956268, 320347736, 427677733, 371315730, 706073974, 545021887, 196056365, 474617462, 381639767, 96958229, 805088621, 807198576, 300812239, 712538117, 826406837, 895589803, 797330133, 757972312, 524591877, 683951452, 351620379, 24965350, 962598, 870415403, 683863210, 522549079, 647397798, 67007187, 41352218, 186646074, 748563677, 206726951, 523757764, 111074272, 65517548, 100158056, 643015822, 748193878, 633078752, 131081096, 464316264, 191117430, 136804573, 130986316, 971229855, 638702394, 43887481, 427718754, 394398226, 955302646, 387252441, 526448692, 391872952, 732410214, 316337474, 760952251, 645405845, 633272948, 792546167, 264213722, 756363182, 724187245, 885830931, 170113188, 53479349, 588648703, 805129454, 153508046, 828025794, 605384453, 654857809, 49417258, 236308173, 162955022, 304937522, 797076919, 102322468, 443616652, 380946515, 913833011, 969259147, 16708547, 290635451, 489509990, 398703227, 933914002, 841431430, 151748760, 880897105, 405406233, 556285632, 12267923, 970664465, 416344822, 898070938, 353715705, 945894982, 300153580, 694507988, 10453644, 315942391, 437787218, 742395886, 479478984, 527607013, 756909401, 198530290, 866816354, 582383588, 481742002, 684420702, 561734360, 119140816, 77017878, 499943245, 953742300, 351354811, 416038421, 616083789, 435977331, 504262974, 565992779, 885876351, 919226024, 648769794, 71299482, 727912800, 689154533, 398971303, 649659910, 264870556, 938525313, 195028568, 317334537, 129113273, 291781852, 982764086, 260387291, 605784385, 786185674, 389708391, 32672301, 656037190, 632554104, 543238401, 293213932, 439325180, 646925131, 556078501, 5561402, 128555892, 314305561, 723907023, 425300405, 974612848, 583643465, 521145312, 806009129, 749797261, 686679576, 234855367, 982125126, 975307757, 611932369, 300997373, 110764665, 728474870, 52336390, 444665417, 709248549, 446953566, 786778156, 970383052, 186462569, 558112723, 519416166, 166466801, 885155827, 932109855, 51487355, 888887016, 418734039, 169651166, 858593753, 111622765, 58959651, 931413005, 437758200, 629419307, 519756640, 28621617, 589407215, 599281480, 941776902, 680072433, 562932108, 314507313, 816412373, 220953021, 439274884, 921341336, 300685323, 733382228, 909225422, 396303245, 45839793, 632057455, 961034942, 156697552, 719679307, 510940913, 56766032, 934400480, 130648860, 106124743, 505831032, 451729348, 59126825, 545594718, 939934495, 586970702, 214153924, 20804755, 440685261, 17789113, 21131656, 556073805, 126662665, 459475290, 742884887, 378653964, 610907683, 405210829, 40502148, 597987047, 442510065, 815441256, 492634522, 506692099, 775029365, 352272950, 296706824, 92038611, 798222032, 133573095, 454851374, 385886384, 580962629, 701013246, 179767459, 737054025, 146695011, 951491595, 351042545, 659560312, 433197950, 18767192, 653919448, 327768093, 556803382, 851126809, 897678750, 908969532, 113499832, 626023122, 381399481, 501711159, 298748806, 138231317, 817172165, 268910549, 337474783, 296624989, 812730139, 516760569, 290601586, 543565835, 161895936, 908705814, 227639620, 713047521, 750203765, 787335531, 157002566, 6417999, 864138854, 361351847, 299946194, 911581860, 203452657, 30861727, 628305270, 292723356, 857300755, 39990453, 760661953, 330547842, 887412036, 259801924, 42621544, 491737166, 437507721, 507694245, 850492602, 933645722, 337472147, 698301554, 727056641, 902798440, 386608475, 931874766, 318914320, 760069997, 918031191, 966272422, 556513246, 360225478, 857683102, 788864254, 575263723, 741096649, 736897155, 659118931, 903898527, 787322936, 894071064, 647174057, 463869941, 298373311, 400670612, 637696221, 964245186, 566837456, 27088404, 537852709, 188322921, 862233868, 195870616, 411627685, 241122315, 847372820, 623928678, 632129777, 133254032, 987906617, 958080238, 745293008, 673136545, 284682397, 400816552, 510879933, 584465553, 740802605, 412547323, 226269308, 823725662, 838936354, 30537476, 521849380, 266364177, 12645448, 344034892, 545687669, 689719921, 75123494, 307792318, 308853401, 524695167, 565988455, 937061022, 504034063, 410644571, 667429533, 319315809, 996162584, 230463138, 464376606, 692963156, 44771726, 845711275, 725573233, 40181327, 78763771, 274306497, 86547752, 52399331, 345558444, 783826968, 210412844, 568202428, 158843826, 608005318, 997663917, 268468142, 93842257, 441069692, 772380500, 273343456, 115714082, 378615492, 158841606, 334636018, 124736971, 836744154, 441395996, 268162148, 285477457, 225648839, 505520480, 714189279, 467771909, 987156303, 984940270, 465803572, 217718522, 590166370, 236940417, 574615618, 341130858, 905979747, 905699524, 304792846, 627432587, 180590247, 451837849, 54025721, 546452878, 134763626, 127133785, 816292396, 392450706, 601823961, 669869849, 912759319, 297595465, 260998469, 992091816, 809283320, 957476781, 424430589, 225339918, 522894387, 360698913, 961802806, 514868961, 727904424, 689750967, 82444652, 156602344, 245182824, 279532925, 191484541, 21657008, 541236305, 345173802, 532158773, 484792280, 735202865, 916636267, 916888952, 570403162, 836299017, 347938925, 947077612, 971054767, 396527853, 596142044, 191078159, 601925918, 738903631, 195984375, 966252007, 205656381, 801230, 641691806, 723534631, 357542719, 745365190, 98257773, 34336460, 997925459, 778202911, 593251680, 763553724, 279037279, 245900534, 308631579, 911711768, 341547786, 676510334, 385789837, 918896711, 177833062, 273576076, 878904284, 659137, 262247959, 527620050, 469609053, 515225568, 419394002, 700231218, 307599147, 93274196, 287039819, 628863771, 265297540, 953684183, 572513505, 810487710, 332868508, 818436744, 738858700, 408624833, 509891763, 415006155, 79222974, 299881167, 546307136, 678885689, 883247179, 172047658, 794565242, 279755761, 579397063, 329339282, 609038628, 567637238, 726457460, 826262450, 586466331, 574326336, 485575947, 78586381, 762731324, 866201786, 911092087, 365654262, 915364905, 879507056, 974697768, 435200699, 292066445, 430776970, 442367424, 23886550, 192206354, 463268041, 622452650, 719562152, 693738179, 557824113, 964036575, 825791753, 886542257, 53229884, 988149998, 361891653, 646343269, 100664835, 81461975, 447083539, 288419881, 705696647, 79217207, 542609316, 345563502, 664120464, 3883985, 439104768, 108706417, 481011208, 823632994, 643666644, 649122244, 132639301, 746735840, 420044476, 705186385, 89440790, 550629950, 860139332, 389790568, 371498534, 366315200, 451746564, 753069279, 97506919, 674656864, 48226130, 850780428, 643955640, 293265066, 180724502, 902569099, 706253897, 455037993, 664299863, 840518315, 716091614, 201841450, 629802917, 198178038, 81322293, 33865085, 747340193, 285637992, 117139759, 503814148, 554278823, 658793038, 600544411, 993681669, 150418054, 410427823, 80786427, 766186401, 62507504, 341063294, 249905300, 201357604, 546432728, 386639577, 586456774, 916411440, 996134562, 703870039, 407293409, 399957252, 859703390, 123306609, 865204276, 903901318, 207589780, 519569110, 215283195, 768862021, 707076805, 169141721, 214623806, 395960458, 300992670, 155181373, 826279857, 507113183, 771992784, 189535929, 9916586, 644240470, 149284505, 118143064, 585174853, 105715351, 912023848, 301105600, 352183707, 378289793, 445575039, 500762058, 101266553, 846822969, 655878955, 773778827, 887026832, 565957794, 386225898, 2331083, 701859101, 35416175, 173186280, 410749885, 801648957, 597437582, 265732827, 525336491, 316989267, 895329874, 672564930, 716821399, 634931361, 625596251, 738557839, 778931380, 494533644, 804108209, 366332334, 898023129, 493158748, 412397924, 642124934, 840278414, 253537524, 858348810, 835644389, 54986449, 94246971, 152215539, 7663164, 540537794, 542203928, 956884846, 681179506, 415704609, 940400249, 54842343, 623978651, 563514227, 13612854, 731019300, 566469799, 70834831, 146360942, 694108326, 515503915, 44376329, 352734173, 999738545, 629625322, 923629931, 411588392, 11917090, 10752218, 183412159, 332040002, 610802199, 186111417, 990191318, 580568812, 182974997, 941114547, 415251128, 155066410, 958675559, 374381730, 578155119, 289445470, 774667044, 971907319, 436340818, 947079211, 536199987, 685193976, 874528104, 305872803, 682594289, 154656831, 265054863, 103804138, 469451427, 143457579, 474774706, 540328283, 366715792, 719638880, 816688517, 588322811, 299052291, 203321282, 376004399, 803899840, 854592047, 940919246, 17572884, 340415078, 292861903, 905200792, 513470363, 698475580, 48540262, 258510771, 658133119, 530961780, 948774796, 827674122, 404162277, 599899408, 949396266, 351910733, 762725197, 323872672, 223625686, 526998994, 562132608, 799229741, 204434863, 524485484, 817868374, 465647025, 6247875, 255761765, 300850179, 374914190, 382009576, 428212841, 650180164, 269480173, 304107449, 886090329, 245491912, 167885754, 575134235, 912916654, 811929733, 951185954, 945641399, 648631970, 320767003, 558761892, 15317359, 404167296, 389063028, 522516940, 704562206, 885210028, 57619261, 283859795, 285301829, 235529066, 998270992, 114142564, 188133814, 859621854, 138128007, 986850946, 748936945, 202000371, 476469096, 181899344, 176779129, 385255251, 47970810, 164643418, 617506619, 115002505, 439962620, 938600906, 866934835, 156319153, 234528332, 526203453, 45291204, 463922277, 389396289, 824332251, 329791786, 369675826, 360790897, 35575497, 219357774, 312988193, 392803407, 417930237, 890064119, 393382880, 651885356, 715113970, 538965312, 631775057, 59428495, 545411269, 880957865, 891209720, 810650441, 925665767, 540594601, 326975687, 619963617, 503339974, 38357883, 24079497, 426246154, 183378019, 342883939, 898000358, 131194239, 249284990, 893893112, 404510820, 993328312, 234102472, 67750954, 841523619, 104884926, 218908630, 120209741, 760630199, 226817304, 13645098, 134882215, 772551551, 278969047, 472286166, 250670733, 986660304, 753546876, 190733201, 129394933, 777423369, 645813843, 580812170, 410426737, 948972591, 976434012, 124370506, 456645911, 850321238, 979636435, 695266885, 202533350, 42884773, 308868456, 347524352, 653738223, 220974887, 897532349, 754795629, 424761866, 956469914, 561139949, 316694867, 964973308, 896418436, 720105265, 371982458, 924839957, 527546258, 275222901, 494648241, 302474041, 137454014, 378735962, 927803194, 437625025, 785726726, 461507491, 723275773, 43068606, 190267177, 555376908, 637621740, 965727382, 199887494, 236955737, 422993932, 766812134, 159378588, 375944953, 407159445, 22991471, 265142038, 453921242, 245686098, 41722911, 882236545, 824552627, 387438312, 679034344, 697476589, 105101381, 578114181, 949267357, 201816077, 944578484, 533484081, 465201769, 896690611, 981105102, 971353440, 609743020, 931656021, 289710352, 905818837, 449674955, 355035676, 421871456, 61224445, 303315013, 143615232, 672924056, 235435142, 398149415, 53245814, 422246160, 713857394, 870241258, 331183866, 754109162, 109105974, 148637582, 791197291, 542076813, 460410898, 294093918, 208172214, 717318022, 780723940, 493027452, 176761528, 848954727, 597029086, 253607102, 888168655, 300230384, 357267752, 779210006, 843552203, 283071296, 192719520, 514757860, 65289483, 836088077, 680455139, 565494088, 107780077, 817880538, 708918465, 990294312, 998873193, 404366797, 920235729, 378887906, 323400115, 345644993, 639797650, 741051613, 952385960, 326073757, 105031001, 500836356, 82200536, 650990931, 804921412, 231794670, 249325796, 264543292, 14388989, 278354703, 815307437, 869223550, 432427346, 325991754, 333466863, 37228004, 816843977, 12945244, 494577615, 143648789, 763966138, 19627283, 728899617, 557780186, 54304618, 452551707, 231223757, 967672154, 821392482, 97920516, 56090157, 717910228, 222022724, 211281631, 552477333, 207377171, 937913519, 251763729, 52366399, 673908293, 320487489, 216727732, 396418046, 426267969, 432640184, 2653271, 15622630, 317012899, 573292140, 640392901, 340158485, 646232214, 56169021, 191771318, 623948080, 123896681, 694340870, 527328212, 116436312, 338670524, 680085690, 809505663, 282525935, 166375412, 774462809, 305690822, 926420608, 441520060, 229045194, 974545382, 24754030, 5224758, 129569187, 653434184, 580338969, 235218380, 228109433, 549146922, 815909941, 39072646, 212108939, 305484362, 400498410, 893478847, 77331557, 917031080, 17861031, 437650913, 889283705, 242212157, 126865088, 394464363, 203959967, 996593148, 834751994, 961652965, 690185030, 176114979, 359647849, 372879915, 499899610, 394971580, 271247343, 589941048, 949344656, 388169748, 818940472, 667545311, 668387866, 362042505, 653052205, 571731369, 959216509, 703264043, 967115605, 801752219, 661219914, 788728790, 889471410, 805579621, 711600635, 112556637, 820730050, 6267835, 954441351, 45071213, 82600005, 905145879, 425438110, 711137835, 82256155, 863965498, 218752920, 912555617, 492663173, 871990329, 713454536, 88988358, 221811623, 99539997, 759327150, 841678612, 452055332, 821650753, 535433354, 15609773, 127046468, 795323792, 130903729, 615621437, 927510082, 239149592, 877156066, 908856644, 877647273, 677671370, 815568130, 251466715, 800103858, 46795987, 153700688, 973586120, 715210728, 597548553, 412893283, 516218263, 746419285, 456012880, 22656739, 590596557, 798004071, 414492704, 826578212, 186170190, 651664295, 628063901, 413073374, 231340400, 644416003, 265576400, 219588600, 876210301, 617295161, 768704927, 747429840, 730354735, 698173479, 906935605, 825792321, 331942397, 564838587, 806409661, 859766013, 672910281, 682938632, 602788765, 503452415, 789778494, 810352414, 978335243, 888112450, 335478283, 400354949, 645815400, 164952373, 2571968, 350598854, 59326517, 382974582, 396895910, 801000606, 155516904, 993368470, 239682451, 599795583, 707112273, 108139698, 492102311, 71724967, 364245053, 920447503, 464759298, 742529312, 247982024, 662700348, 977117305, 400024210, 240620387, 233315284, 882613941, 644081882, 264344307, 716359201, 103765765, 854966207, 549994102, 542455236, 315566580, 187125059, 985853595, 166207850, 231428570, 635652625, 616229356, 385631727, 256990283, 942380173, 122119949, 98623276, 320343404, 156301386, 317567265, 398580214, 963735281, 850082950, 332282160, 804217200, 569292813, 603922127, 347295105, 999538708, 945024747, 517852971, 157597507, 688598862, 315327193, 699111545, 574239651, 670975359, 29988105, 854618360, 787043605, 171045982, 929524721, 462479791, 672556829, 129251745, 90524612, 345799674, 239976186, 946962485, 161690469, 357337667, 881707641, 796067517, 260985324, 361024691, 950541493, 327787180, 550501995, 238705492, 244822756, 170310991, 859732864, 847826085, 715343470, 650399173, 904574277, 861392497, 882643173, 988214029, 783748386, 763013069, 605363053, 18967937, 384405007, 574882188, 8860347, 80499174, 345223928, 733229358, 904778779, 120532910, 952481426, 642332744, 966062019, 101142106, 108559951, 778813728, 57941180, 798431188, 474110326, 77622833, 129451783, 563886929, 808694598, 802643396, 806476964, 408572770, 39717027, 102484704, 995337279, 799901792, 3092692, 46545971, 766147289, 45417025, 277214187, 939866332, 374288109, 585739201, 232432658, 885463702, 356051247, 816457458, 233664219, 56689412, 856920195, 205447800, 783991597, 969668490, 261979113, 599510116, 101943354, 517711310, 973984718, 789923479, 454799856, 783786584, 62397238, 941697530, 648441467, 192004448, 301429793, 407386075, 181495950, 264286795, 686963820, 776017512, 476391572, 916554106, 188686516, 202385142, 821376867, 920477329, 427599182, 815365673, 268371039, 323371494, 720212651, 314083316, 996896832, 52626469, 721845785, 693639981, 613797579, 367528838, 741866779, 780134562, 226559816, 633635811, 339699753, 908718352, 160438962, 150608957, 215533449, 557260448, 664743480, 48018347, 814252170, 957683678, 574116074, 158671302, 170865757, 633424640, 512779982, 509267255, 364359804, 989071842, 800460097, 851606352, 112827609, 329445167, 157827272, 359478064, 725648047, 305209188, 396547342, 970847299, 996871439, 76638207, 500387434, 33923947, 287536042, 830556757, 823159140, 996968606, 558866830, 64311354, 707555301, 276565626, 434796575, 769449179, 641811708, 204163050, 119302994, 923012622, 512515490, 866948868, 687291924, 496262418, 975115316, 680502282, 475707894, 784478850, 412999801, 250774295, 850709128, 789363108, 816112923, 658711368, 444594349, 588539094, 860162463, 260573369, 91711942, 604200697, 594721932, 738875563, 100947810, 395270511, 78631999, 75451850, 326362590, 334525755, 764922430, 761549662, 925457720, 247208724, 507970946, 365156187, 265959220, 705180584, 27795404, 181582548, 17863210, 805091580, 138504137, 527123307, 733404215, 331430165, 472485462, 474389200, 10423622, 817378233, 476341743, 401877017, 73133871, 682221893, 62842211, 527932421, 79071841, 248442225, 934661340, 761555222, 394608623, 630807701, 641475931, 332836804, 444445179, 112287607, 244468199, 659380189, 467249972, 708287552, 793925919, 948948521, 743088537, 747277728, 93305465, 38043285, 640098260, 129103908, 55920126, 26389492, 114563377, 476824684, 741384233, 662101199, 239612311, 214222064, 135253043, 525170312, 123862203, 814575804, 582435000, 954101234, 52701603, 486049485, 11001233, 334563191, 872446331, 180290544, 103391935, 47748363, 761506310, 728338232, 165364139, 292675948, 670813918, 221265899, 961511229, 576788276, 590121062, 339024118, 61541115, 909007252, 827588583, 681543023, 68120380, 925169984, 859583599, 697561211, 915879384, 196153172, 671408779, 155677789, 498069886, 367237965, 239158505, 692983284, 255116178, 180310209, 528558814, 464310167, 903926430, 670102579, 864080485, 34873848, 913485056, 134225604, 96844918, 499895023, 639957410, 990277178, 998384442, 953368080, 849432453, 783512480, 532323231, 940408639, 68213667, 578688444, 694816398, 144828793, 795192202, 445140350, 701620092, 595620297, 541733034, 81504989, 458608696, 766796389, 483215342, 126851327, 120646329, 715464952, 441402650, 65528015, 147509525, 699937747, 853204687, 437275977, 280117981, 160327337, 529470387, 25329278, 75439052, 288183883, 302776284, 287285621, 103419506, 349527721, 774655525, 756453403, 307720117, 9888220, 223962457, 822022684, 972040796, 788025077, 498497933, 86141063, 212829098, 114978072, 746631830, 670947230, 743091193, 464393998, 666483577, 376269674, 9310072, 665288795, 387705442, 876096417, 311315291, 822389481, 918973584, 622972535, 160382364, 802388142, 694974229, 461681494, 792409633, 545547505, 271288272, 772465586, 879279785, 583607680, 945504156, 430245811, 128460867, 640027682, 727619104, 938958103, 470273780, 232700631, 139269472, 34768139, 44757395, 770560175, 657032322, 278088081, 799399765, 17935408, 967352203, 481644816, 909586473, 648534525, 700914668, 269107792, 101417720, 484126550, 124624771, 401205571, 501103821, 139012402, 352480046, 375294413, 77495817, 874225305, 238668546, 514629284, 842691237, 864058537, 831979388, 745611032, 778222789, 991292334, 773838258, 622541173, 67562755, 929105207, 354751176, 644521248, 706940094, 914249641, 506762456, 981360284, 868822515, 65207406, 443820808, 343234524, 720482144, 159224811, 215845299, 471128011, 651344093, 158501917, 406199307, 703452409, 282061084, 175914983, 561326571, 343890361, 656677094, 516764153, 414569026, 352329876, 715584331, 517742834, 464312039, 38607916, 243827233, 639465228, 984083317, 759043595, 5946183, 926814233, 725465495, 637855659, 903287880, 686097736, 796375449, 819815108, 604996598, 338188859, 621069803, 586911049, 478967110, 803668524, 767377777, 332992652, 390361677, 101568530, 113998580, 424136307, 821662924, 463398704, 717063511, 925018824, 434148133, 525590222, 424933256, 120972523, 666072751, 459475572, 522246252, 367641555, 791528949, 898640422, 768184380, 436987269, 451640885, 991405264, 489547808, 696298834, 586537371, 884409029, 106017153, 683460575, 34878000, 232326793, 876280554, 744861020, 3985791, 258290133, 556759814, 764985232, 58506583, 44372724, 618718367, 598223440, 685130146, 289526212, 987049197, 616107649, 29690263, 980815206, 649409812, 796515012, 124602251, 491919341, 793399028, 438929508, 42945574, 121671526, 624872110, 132477325, 775135746, 55092805, 504671452, 716066845, 439281340, 742485317, 897090697, 218382695, 562493582, 995009326, 480414093, 644788518, 174912391, 520439214, 759439499, 143624332, 774605795, 759242801, 100794661, 390240645, 393755211, 453545887, 938964280, 509277755, 58210391, 818115084, 680321081, 653901968, 143580477, 423851115, 235539669, 27850330, 679790133, 794043704, 83640223, 249363479, 278723681, 386093447, 742793870, 437968782, 770533571, 970896170, 255010090, 197469818, 255262296, 563116183, 592601057, 440110211, 845100221, 414546249, 301357122, 361489770, 330736944, 907485447, 461643609, 773648663, 240390158, 320343361, 505216086, 623472075, 213903487, 135576473, 40064991, 411788655, 1840920, 141988426, 239184305, 32171950, 877582261, 693569957, 574812381, 747702512, 162004029, 513801210, 281481536, 984163443, 376646581, 716292304, 830209373, 560190838, 60201774, 293996917, 939046840, 595429467, 609323560, 27889427, 687591204, 327332319, 213290287, 968566753, 766037849, 738180048, 346781069, 714937594, 537035054, 49190817, 60776400, 320484106, 671452356, 377600580, 712151507, 905379591, 492788347, 31573529, 119034970, 47416382, 499986805, 997092057, 883218518, 986707384, 20544527, 297214768, 377905509, 605798079, 330328375, 587761498, 855147112, 802527385, 866188078, 603342272, 261590046, 451189930, 920718896, 389941613, 47978595, 930365485, 278274609, 727367952, 362972705, 434532496, 975139096, 819440494, 851939091, 520902423, 740993011, 268447267, 16572673, 92568091, 523657350, 712628477, 343327702, 63763484, 526644663, 609642160, 623247421, 986505224, 44859868, 617748735, 543155181, 290540618, 158569856, 138097237, 983851632, 323254860, 800180817, 265306314, 654193962, 777340464, 525953159, 391292030, 132562161, 158724389, 766151825, 912593671, 596524675, 220560875, 457076674, 136839981, 587610652, 744121821, 610841916, 698847196, 688641873, 908167489, 232087827, 760766069, 692780101, 796199665, 389839498, 122994260, 64583394, 374287718, 474570840, 604062880, 915040253, 101737723, 507387950, 360394224, 698270905, 543050867, 819159047, 203147654, 493870317, 748913588, 599930227, 372712669, 522948573, 720506937, 730338447, 251188613, 571088941, 336083838, 997563751, 350012953, 102967365, 607677745, 772418688, 599355590, 747049199, 147254690, 23398461, 708085425, 39726296, 666981245, 916182700, 554978629, 589921092, 623043532, 701823916, 828669212, 298697593, 430564600, 804270238, 180549926, 339796670, 317333108, 727816220, 658214179, 704460522, 873274802, 573195641, 279685352, 228609784, 284540614, 24794261, 220871590, 318165848, 43923040, 131765909, 790692182, 119420782, 256259197, 176291728, 936750992, 275777831, 586153463, 177356492, 618480833, 496064602, 309159897, 712958258, 220447198, 815906771, 276485881, 201112005, 379984956, 964653969, 436953670, 573736887, 956698655, 515241013, 23598280, 974957640, 396585973, 245951847, 162885129, 119813119, 871832009, 848877978, 770089916, 412222790, 248759344, 260135954, 771341080, 65770711, 202333739, 818832646, 500934545, 865556165, 904574689, 566045979, 723961023, 697983691, 424231845, 522542529, 908799095, 388926147, 422767056, 420288606, 645543548, 529698396, 441934947, 188390918, 814388254, 571322036, 719072867, 532954014, 136178789, 316508755, 107025088, 206235333, 346187147, 721577569, 149384247, 746371584, 366990611, 634343881, 336777425, 806792587, 277637295, 445753852, 749130066, 542437897, 372775183, 588813946, 696425666, 712930085, 401006790, 849858720, 16741050, 159346677, 715804592, 459654301, 652721672, 866832161, 899987651, 994362497, 939296900, 614055810, 518436286, 562235685, 490644635, 425839736, 133165913, 269527754, 538656181, 153453535, 199257143, 904907592, 198076157, 325513885, 233634466, 838949124, 330433635, 401876385, 433476665, 485457076, 815449173, 294230227, 971868852, 881093963, 879257292, 906308177, 16868812, 583203212, 621878430, 919168097, 4171572, 278484289, 76005862, 598710051, 604738363, 467428534, 905420374, 138571148, 648426182, 565451868, 898042014, 900155151, 436258856, 733440131, 647360130, 516509261, 844041547, 964858698, 115966133, 723782806, 203219400, 324265305, 834193866, 3753234, 44567009, 591958194, 40855317, 140470340, 611674389, 547493519, 458966953, 863530455, 957239824, 166816802, 717833013, 695488197, 538519075, 939638212, 46985762, 217138490, 994426032, 573027255, 199240003, 219521587, 491404946, 795965051, 647739785, 593484406, 645774475, 998861399, 316603956, 334015970, 156199065, 277881785, 367343564, 322759866, 536888885, 484449998, 512859659, 449267770, 414937317, 572548284, 932492888, 119750936, 87402336, 460108315, 98358516, 329787285, 872810014, 39548256, 928455132, 669531029, 296563472, 388158807, 497357565, 247981374, 855784929, 124109759, 448979424, 92063689, 818576108, 726976171, 302380837, 587855237, 150338427, 494610526, 676629107, 116445892, 149880076, 941071333, 140138890, 660891586, 692993529, 855232946, 724205835, 228833801, 717426666, 625756850, 725235400, 761917260, 985087981, 832005982, 249626997, 404386898, 766900415, 695809069, 173072397, 238674466, 966300197, 74778372, 586824489, 52134791, 444683370, 68701770, 518987833, 442179004, 489260191, 295751636, 400186764, 436436748, 922116400, 279199037, 37350129, 476283466, 677019002, 840465529, 317710899, 364679938, 609561085, 934781644, 180927013, 478325528, 1518195, 354925266, 157804922, 967881002, 110404971, 978283605, 504583276, 788884194, 352409587, 439874432, 86108595, 894858182, 831555984, 633262196, 361608458, 603787844, 894401864, 67588347, 955282098, 321232596, 831961803, 811739214, 822291342, 235189709, 355571521, 774167165, 110554900, 634495756, 441048726, 683852900, 467536908, 757820551, 450364546, 359943670, 541292725, 616730170, 364215171, 194950245, 905539426, 32467052, 974753387, 173867455, 680770155, 538710134, 336165126, 691180968, 532497703, 851480805, 45552032, 660243735, 262173003, 852367623, 820411122, 247064282, 226022657, 468945962, 957224612, 911234628, 833445905, 583465831, 803315496, 933144749, 63963348, 482357191, 901245675, 142302739, 78936835, 10282609, 949064088, 697598818, 948059324, 447894080, 130103384, 190515121, 357342639, 796622031, 903531182, 263271238, 139605615, 8975606, 370197896, 214190428, 309856587, 739768377, 560994496, 840530545, 450318864, 403497898, 683678295, 500122575, 830513135, 16906061, 792583592, 282385304, 732124527, 790791423, 780286521, 67811702, 424617995, 41699355, 340241987, 549401840, 977558284, 140092780, 664009357, 649349092, 296244631, 980925766, 4507653, 325119630, 579717303, 16442617, 356659753, 678360892, 434144571, 869330975, 739834043, 15984418, 710733955, 965542634, 234127305, 978021652, 791785593, 323371510, 828211232, 239850107, 657997213, 999955106, 233794004, 362023631, 492544452, 92993003, 839241655, 159559090, 630738083, 657448605, 163147658, 612116259, 953518362, 505609295, 240673666, 917551, 156779495, 699301213, 557163852, 303347976, 609314130, 799264734, 535404560, 70436457, 104014611, 339085468, 834223318, 152417817, 515908724, 905142610, 157245258, 364290395, 113683839, 602228989, 47108946, 287901710, 260578798, 198370257, 36941070, 786264236, 125698838, 622882204, 918232106, 156631231, 288060772, 337527565, 130180166, 298889466, 15526979, 94608468, 914744510, 554422860, 667677542, 964945962, 794759785, 913242365, 148174576, 705412895, 7469369, 349004594, 503101429, 673630858, 271386839, 66634622, 760954883, 831793829, 399926876, 120005257, 41584947, 550115943, 780432201, 509670095, 682938837, 276156646, 123189029, 722304837, 258990834, 367334992, 7809574, 769182511, 802162627, 835323110, 963319302, 9536898, 963191189, 934708460, 66366999, 674289951, 43334554, 331249112, 791847234, 882819144, 407526595, 709617560, 682465646, 61906845, 533053742, 645217138, 940058194, 701580798, 116861062, 931802628, 548177941, 512037742, 447740029, 23120555, 656664651, 503212915, 80708922, 594503441, 753650372, 892828694, 78637642, 690532243, 315608658, 852051723, 790981844, 251796526, 44015398, 936785177, 737818343, 142810275, 599858505, 173834924, 865953771, 22860977, 743030618, 846066600, 205241179, 486878240, 765925414, 177020716, 97769569, 388644524, 172022383, 405411417, 172779253, 314674339, 988150960, 95342994, 601863105, 813551331, 563602503, 313915571, 971067927, 964474094, 703291048, 249803535, 471813462, 766968689, 189545469, 577903652, 792433140, 571398208, 757398464, 230016505, 181228708, 336750987, 383514763, 975664416, 731319303, 361210060, 623363688, 816329962, 312049955, 764936676, 440212440, 798866617, 876280366, 589528732, 49259251, 599395189, 388823444, 84937098, 331574513, 763715993, 341547656, 226998564, 636359056, 245482826, 567673362, 406168126, 611268057, 707476641, 152751992, 799798111, 153745931, 47931840, 665262714, 297991184, 451203387, 25739880, 967458497, 441282375, 817078939, 176602863, 61032732, 966123974, 643193415, 473346963, 663064272, 269356877, 16264986, 712721472, 189423555, 741395021, 345536170, 556341549, 213250633, 168887751, 625915700, 531098881, 597953140, 396592901, 114263738, 17603131, 125718555, 823387910, 879650370, 773644914, 301485393, 9255607, 267844422, 924540687, 758964745, 136745738, 460960341, 280907009, 364725039, 550542214, 300625915, 614786911, 21864651, 141138137, 199889826, 327036908, 946316711, 602837947, 612045339, 894883655, 430681861, 961056738, 176838223, 813208160, 568948954, 555118245, 367823104, 816901031, 151750003, 432291188, 996760941, 876712217, 170167389, 305787121, 484379667, 31203598, 389197464, 834246950, 635627380, 883768169, 176287609, 960208862, 836850880, 802307066, 318798308, 765181229, 694087892, 727581990, 436205868, 716519107, 811919628, 211009811, 994395838, 940320236, 900061348, 226062442, 135144726, 481425955, 500770664, 797581090, 624060705, 728925509, 293753323, 530564638, 460259890, 247801027, 468449272, 94555702, 670051292, 394570720, 627483323, 926972208, 537153924, 167938980, 356381102, 43020379, 212787393, 509625299, 88004907, 684819221, 125995679, 389294933, 659084922, 863185842, 311081699, 355530842, 571398790, 939225259, 102835229, 342198592, 211798715, 963926783, 486126396, 657612504, 974424231, 891219130, 132450478, 891889762, 229254918, 401064160, 927342323, 626089605, 33672693, 122795846, 123017501, 227343229, 746153554, 14691446, 614721354, 629619102, 73736575, 746881672, 540698963, 240739736, 361740480, 130496714, 896380772, 405951301, 497450401, 733900756, 916069404, 607541405, 135190654, 955258701, 988310199, 304200761, 561922221, 954205796, 14589448, 193982789, 316678428, 817157497, 113149294, 785778732, 63006515, 712975977, 129239741, 155378047, 136274311, 401595275, 877464406, 79188634, 417703405, 200962664, 429290488, 217431189, 599223542, 196357188, 824617184, 56016053, 735173634, 822378671, 363675394, 73943985, 982088714, 887477663, 793720830, 252910209, 351829095, 257583443, 432778492, 168047138, 516911784, 242643183, 322610230, 560830925, 286837463, 753895107, 601381501, 403315308, 575927677, 158808236, 959297723, 337469814, 584870237, 97375506, 871254657, 203099646, 229377847, 37503469, 248579459, 664934909, 76372313, 26266727, 554086901, 211050772, 874997163, 738982657, 528661525, 212409332, 683114083, 30075946, 922275571, 937389792, 304239250, 518009237, 486552091, 654790295, 139261818, 651194208, 946069977, 549874863, 791281080, 104539570, 493866648, 86886377, 631311987, 433480457, 78337724, 137913852, 770257433, 447216236, 528068994, 866287991, 946627154, 793872290, 911816135, 785613854, 548735092, 732204616, 257626418, 954284101, 660379743, 981753142, 291626088, 491361573, 137584635, 996874037, 562080907, 655509140, 765790272, 542990370, 752481068, 959427753, 71429333, 856484891, 697743668, 951641032, 923595919, 372191575, 61193218, 949450805, 349344555, 982358099, 233871679, 528214939, 278880838, 935615313, 866972277, 819626310, 824571952, 187060639, 323811002, 359304041, 962144767, 591619810, 525770940, 56782568, 562521658, 766010183, 945101001, 3105574, 448144283, 168205974, 671452312, 243617941, 91010033, 871622698, 961028825, 699310254, 117214327, 255112656, 338727512, 70939057, 982342803, 363773571, 826893518, 851029416, 812095542, 617915439, 343283119, 446557594, 239537801, 663605454, 937539164, 32386612, 40489029, 42359935, 783260727, 416378698, 439983523, 325651296, 897193724, 723241247, 340874773, 126683829, 990991720, 80575175, 369276313, 134838803, 875993561, 348205566, 789298596, 608944316, 75963077, 914472982, 990354423, 429164543, 995928990, 806552268, 886459879, 989765902, 519830138, 517914654, 401859944, 995122110, 192217950, 931601391, 766297398, 17415710, 544700302, 998939883, 307767652, 491752022, 46452668, 72130753, 419432348, 778682122, 402985843, 921668700, 610848334, 633693961, 724118613, 45128055, 141188815, 950906411, 434595489, 126462542, 242240845, 796306039, 191738063, 124158342, 654686099, 132117609, 503500865, 484236541, 690573439, 649362674, 664985262, 198900202, 410232902, 16602332, 61752711, 340826712, 538675354, 888598561, 949947703, 959626481, 355320143, 87882594, 51968756, 616953324, 671905395, 69664352, 918901303, 915892455, 779473729, 787640228, 517456106, 374062765, 3973408, 571611894, 355411599, 229663280, 474707955, 804569187, 281658393, 163479671, 486825489, 457435052, 108763306, 999081945, 905573109, 57304786, 783441733, 61119711, 206470905, 61069370, 276534535, 332936764, 701988125, 987468924, 292327689, 541819726, 291659987, 201967426, 591821046, 54882261, 741730089, 719505095, 442102332, 131677792, 302682221, 44393504, 846381341, 829048839, 91731486, 947652617, 400352444, 624135589, 497452928, 336611373, 472680380, 6684090, 743645320, 14733718, 817001123, 179771299, 315948267, 537244051, 350582584, 379135433, 789078578, 37934467, 156733318, 136687934, 535746813, 282532590, 460513783, 11476664, 142834166, 758776889, 94274345, 483321682, 527157344, 912625437, 852369692, 157756480, 710812809, 556900405, 403099718, 866247828, 580852893, 231393537, 86643448, 292669082, 2204641, 939341007, 78011798, 348279340, 966862695, 974363417, 39611459, 126881678, 483561187, 828232988, 353047694, 600004479, 839082077, 14089812, 330327702, 82748855, 523564242, 395905186, 475123222, 804046972, 618836125, 647394688, 640251357, 542373591, 300476409, 100209169, 541348340, 357127864, 517162573, 461135812, 72820014, 381051787, 984155377, 964956747, 490389744, 864379793, 171892821, 715112494, 484836022, 397525841, 995383445, 543822151, 651695076, 836473629, 680383703, 144024885, 538879337, 542453554, 218592807, 480364913, 204919736, 18259777, 694125666, 857197825, 457668159, 211971700, 69967338, 637134983, 124128403, 196908319, 841238014, 658857655, 205175343, 226198970, 162770913, 706672349, 413741800, 118221375, 653893549, 72262490, 695247839, 343686447, 105088779, 107570769, 89601816, 501111576, 314319100, 380203093, 952540620, 485119682, 345483428, 76486395, 542624915, 729832951, 627251279, 649812672, 184370589, 157053730, 709243610, 382090244, 696180866, 369477824, 382886148, 102492061, 684707506, 224913340, 602411116, 75992739, 849710585, 420698557, 652410285, 531858883, 261754753, 99495572, 133925223, 323837033, 391164673, 525930473, 777121047, 333823768, 511726624, 196385938, 784197560, 113853560, 998640600, 829992063, 199930036, 774425380, 444723793, 951526354, 776389321, 535659766, 412105722, 10524815, 402792253, 32285143, 794067740, 192615598, 661290154, 986010545, 106345723, 559998806, 529041703, 16153211, 991771996, 546224422, 183546967, 631989071, 76728391, 329752254, 190922075, 724278510, 825539964, 157868048, 968537778, 399460434, 316119901, 7589001, 705524500, 665617375, 312358276, 4167642, 581343980, 985559612, 251936668, 596547703, 391237975, 819270468, 715628313, 20182694, 180497846, 129038628, 364873380, 118786773, 909982801, 45181090, 243557936, 554794750, 101652853, 757743797, 136751408, 38267970, 732787105, 405970048, 889514555, 849105395, 270925089, 317452428, 89450415, 687042506, 233277425, 880223040, 569755351, 749486077, 933694476, 301382664, 454115458, 728346916, 451703011, 556172336, 19877651, 316093171, 587432460, 133324154, 657523655, 42688361, 360546394, 449393501, 613995171, 571196314, 901614861, 639573878, 77349289, 495337193, 969649037, 202513603, 672157887, 830099718, 380877704, 866906967, 331917420, 792346620, 587938437, 971813366, 464190622, 411836621, 661063597, 41664394, 396145135, 623571044, 360190628, 288298808, 788615365, 415987607, 991387253, 764089727, 870838261, 957499768, 458466670, 886243004, 23236655, 235070105, 993474782, 716608890, 332312335, 47651154, 627739550, 196630730, 34357483, 437090054, 920400352, 209916681, 83692890, 915373880, 155293625, 701717274, 791079666, 125958123, 678841659, 129260492, 614710260, 683132155, 272453037, 87009237, 161053234, 673997536, 115263950, 696899241, 229399978, 519110957, 354494851, 928401183, 574646716, 405928257, 197522126, 152280690, 422911488, 722556945, 978071399, 223153711, 734911760, 855317065, 850806494, 653450782, 703387385, 179859401, 218285815, 975935480, 51699246, 972643318, 448171217, 524737602, 187446572, 643095967, 822893444, 3244738, 788736682, 296195666, 433751741, 749621964, 36578255, 102009509, 102346075, 608365056, 462817120, 797361667, 385120949, 866249428, 996470158, 464128233, 488550741, 38139929, 775973454, 951007359, 526667395, 84936915, 228089589, 913522884, 164419458, 89998516, 757331758, 780496655, 726369225, 522542858, 929716216, 145233876, 97580852, 615651945, 759103745, 549058746, 521193922, 80474726, 461761898, 423577581, 924830988, 722505011, 617983077, 352012729, 931925399, 947491719, 810683705, 398087889, 284729079, 596565119, 822816347, 169477434, 261069012, 925081604, 812554257, 4614103, 212781604, 899416497, 692841837, 138502477, 367831317, 466585230, 146488177, 549418549, 414837974, 193506514, 264078270, 497821924, 284952964, 896458706, 240588129, 649012523, 908525619, 235193810, 662645371, 346671281, 386310029, 10333935, 92783829, 603793292, 612187174, 590585231, 691354870, 227682782, 727278232, 96404369, 23108196, 401442155, 924309554, 832107815, 695518370, 530760390, 558513341, 626752508, 497566921, 734338102, 391654633, 82025233, 443282496, 746351896, 927125511, 887621946, 7099976, 317388026, 534047917, 854907790, 242091601, 77518062, 484874570, 96650354, 728051850, 571023907, 137283793, 49894467, 307397289, 284784507, 843563931, 131308276, 480377644, 991765825, 858942207, 414143483, 236283915, 189656577, 469626924, 702210312, 769495460, 365246419, 687314635, 3919326, 184754913, 757548221, 974531310, 645913701, 166576380, 551539449, 280665093, 714501947, 959193732, 827033456, 349423638, 491470314, 695714582, 91682111, 761809699, 893074731, 732336626, 353244705, 447939405, 891427051, 653759919, 926311454, 165398748, 318839593, 295160414, 237473949, 334247876, 3368693, 537592643, 37290747, 178414447, 932380862, 356431196, 995307450, 187116104, 647215667, 896452907, 26634283, 137129499, 117646126, 501886784, 646217101, 336915030, 287664328, 434013680, 652480234, 432514153, 124735038, 411235136, 411602102, 84339813, 344963800, 618361110, 784957910, 456296136, 164846888, 408109854, 610709998, 824138484, 404395936, 505960314, 308662256, 178058161, 530381402, 782256076, 834051825, 70511527, 124993337, 201016071, 261978168, 127505817, 164207813, 930843312, 8864805, 610668302, 650768076, 826655106, 534240522, 413827035, 193505040, 791756432, 683244039, 633489186, 729781021, 73969679, 748475854, 134587847, 373792415, 203902324, 714402797, 162745388, 667972331, 57677526, 527205477, 962720077, 49910284, 547404260, 590063411, 601449358, 348392510, 283993933, 482340092, 644816747, 205307872, 620182667, 82612071, 484982344, 465315110, 698674786, 191001272, 172332872, 946119198, 719883941, 954679383, 914089206, 621924391, 987992178, 952114660, 592922360, 847896893, 485755689, 292189976, 884357307, 449996710, 686277904, 222445846, 544466060, 697154170, 485618885, 506673506, 349005510, 280475048, 907002449, 733685565, 598711818, 689703065, 992194908, 800946863, 478816066, 275228496, 444963614, 387971074, 874601363, 693564572, 643615233, 978734140, 968542187, 800341368, 814136933, 881565014, 478692964, 690699046, 806122553, 143508475, 679207852, 749650333, 304818034, 448882871, 777974081, 19579243, 264876486, 920578942, 950309754, 935341997, 676844542, 461225682, 41039166, 238261992, 597633564, 834674170, 358676548, 959055401, 732568276, 654542242, 20886576, 519496588, 117791267, 519724196, 874417221, 153153161, 393284013, 335225632, 566479586, 898443012, 206119413, 382629689, 62018018, 814637685, 40642256, 838745092, 757079974, 410594683, 127843591, 747528947, 501601498, 323842962, 202118376, 859901510, 995140075, 70878082, 569089244, 647497519, 709827653, 160841915, 380767638, 209585268, 426407437, 996960854, 293342964, 986859880, 388975931, 640288197, 558981273, 785279935, 663065809, 425242604, 795857052, 817885230, 292326438, 439421781, 858767853, 359024043, 563315405, 881886041, 301706441, 665668137, 940406452, 859341175, 610272442, 988650038, 467674564, 595733307, 224670151, 546273675, 26855759, 293117550, 755855066, 659210578, 677409260, 365752139, 809881287, 269353758, 286784911, 94065130, 493661609, 329558920, 349492429, 575328637, 813189738, 446960085, 745811114, 911348686, 304420614, 883891146, 459884635, 717520353, 157581584, 893771752, 251763802, 569248030, 64560590, 841536292, 744184394, 214586398, 546578262, 388198097, 587950015, 533409866, 832476678, 732092697, 345651724, 934405230, 700869871, 227490145, 351601293, 220154561, 355146024, 638611050, 332163544, 598086612, 805555069, 308733286, 151212896, 724226706, 332307750, 632979741, 842031676, 826395351, 503014816, 689491256, 427548429, 517796805, 626740601, 549773314, 657144462, 776728514, 764310372, 86473424, 537220599, 494007367, 952922867, 300207480, 769883832, 594495319, 165371850, 582182364, 50817791, 83306084, 262064341, 657041262, 403164028, 667547153, 296843495, 989872619, 195911261, 822427183, 966387374, 86068283, 685952323, 122923837, 722238175, 207943805, 289831281, 468111011, 934563545, 294361498, 540496994, 300966420, 56863071, 249927961, 942472782, 585938403, 7550201, 998829925, 358705423, 502385911, 106008357, 133251927, 836416589, 760120313, 206600065, 233229888, 671063507, 260482150, 560711250, 552127083, 575309032, 28873685, 993475875, 939597352, 848547442, 668233622, 790236833, 426699271, 214699599, 311868287, 974771997, 610414580, 983426633, 520768249, 295929332, 96489795, 781174831, 834902819, 127769013, 420478876, 515093905, 102108112, 747268945, 471146833, 501871135, 109054646, 229514168, 680680818, 53742012, 330075762, 458391294, 109300480, 136097253, 82363800, 596361267, 716975875, 792709599, 284220338, 876492052, 562320674, 375011490, 975550889, 445421180, 570337013, 447942541, 916875439, 623408060, 967009496, 125973745, 904021417, 101400346, 41086313, 47760826, 384081405, 668409662, 636733251, 824394392, 886393798, 598016813, 634779868, 312226553, 599717101, 701938853, 286039907, 255040303, 897272683, 523021538, 478540489, 143133073, 198588456, 136458618, 565492037, 950177248, 879068675, 846816074, 814365134, 759629505, 489661196, 935337346, 739541683, 217104154, 304422600, 330846519, 404897768, 124788629, 438335780, 372733946, 622362010, 395722696, 277100056, 908389256, 587561364, 9120751, 390929465, 385976108, 354010431, 944067176, 457015217, 855407385, 79851074, 881296732, 32616096, 629278910, 178662048, 576920680, 826079949, 470894116, 307504127, 893470540, 681329870, 907129424, 958307123, 425586214, 90016476, 287448101, 378762820, 103881578, 850744220, 414306572, 844415325, 993662674, 761368124, 426984726, 572143243, 549591193, 318531571, 732320949, 2550383, 604623267, 695921080, 272584175, 796846803, 167103546, 808785349, 272854035, 435066421, 273936919, 841230246, 380707346, 905040170, 68986745, 937094675, 696789447, 61670119, 729952644, 804280480, 151087797, 44834415, 314140645, 83933423, 871617204, 494749763, 484033978, 408035606, 645739075, 200185583, 878339273, 893449765, 943642483, 141808578, 550737281, 536644345, 495556184, 717343906, 626744374, 12873616, 133256100, 905167126, 584401550, 226617881, 403354227, 495162591, 202373221, 765960397, 646064048, 511682168, 813590852, 354720084, 502385164, 975681217, 36809955, 690333094, 775216187, 93976746, 440092607, 659446562, 409522990, 808426515, 711555858, 690028556, 301523309, 606509329, 880370827, 264064729, 638588496, 561106769, 539539705, 68273130, 561642729, 204204146, 342532754, 881873860, 45494865, 803713598, 824282473, 109062202, 48901013, 350413683, 519689542, 27230520, 885157499, 740267704, 440003074, 178568044, 649203155, 568132633, 776749234, 311489380, 988771246, 295944279, 881001290, 243548761, 961360298, 513082165, 463834896, 47343951, 947723658, 732081244, 410180203, 453750081, 207668803, 396718734, 186576408, 793940987, 545761893, 701746466, 422081927, 696284557, 919060774, 769676310, 203780016, 964554065, 303003429, 907651319, 386023160, 328757097, 258018694, 590624301, 986883448, 357939197, 108094554, 870218120, 950293969, 641049262, 319228397, 556217524, 452151101, 179377562, 624214720, 810736880, 557190247, 961863974, 291938490, 551923228, 959582628, 953015935, 881058724, 168471452, 34308296, 951451402, 240488108, 780874430, 672763304, 423475882, 815369973, 608616037, 434612635, 470469841, 559528420, 719190777, 569827245, 3093322, 138693159, 568075277, 333456204, 536005810, 666811610, 524145355, 723600196, 863088555, 809297265, 406650672, 533372275, 565168285, 143005290, 269012459, 326934265, 650641532, 948825463, 556401059, 792020380, 933092247, 117536478, 317599907, 741081791, 727165800, 839107842, 364438638, 829863287, 178330998, 675672730, 572780192, 232485594, 929274198, 456335362, 726893119, 648087573, 320322869, 681637551, 214349514, 472740291, 368217359, 845009454, 81824153, 44802543, 565280555, 895820097, 99224231, 444333746, 17019458, 268946923, 306356391, 36885376, 164839576, 422870420, 970738560, 289910913, 583938862, 31105828, 314499091, 448169787, 639773253, 655091467, 363430765, 508577760, 840370578, 200837514, 757601657, 905220815, 411142994, 817760242, 653318826, 589525873, 608418728, 351278933, 660987020, 201948623, 663565659, 636424702, 925676477, 107852100, 428590574, 103432586, 142886970, 975697402, 721371312, 306056268, 956463846, 973137093, 429260356, 400504401, 466788511, 449935707, 736416123, 937302262, 740939118, 351101897, 442814562, 871336807, 223454476, 522289154, 288575316, 491856821, 116716045, 690450781, 710265214, 805555057, 30695099, 327118577, 946790109, 23801545, 516939602, 289053761, 315952644, 579924388, 507451226, 485271375, 381160949, 125085623, 366845689, 367961032, 314286400, 710639442, 772332801, 156424426, 196563861, 217078283, 835411446, 305768609, 479720936, 910052636, 386955650, 578881846, 579975167, 447364654, 779181628, 564858733, 309766278, 485744376, 421078332, 521987945, 615156887, 781026289, 92429730, 138574141, 449658112, 447782815, 410325473, 449454747, 410542993, 721606781, 386286463, 138891979, 963589377, 67798348, 200785858, 450096149, 481571739, 997440884, 616763473, 605170678, 536271435, 364434420, 730277887, 423681603, 575760961, 316533524, 471777021, 819379953, 230399789, 602243365, 35168062, 857552405, 498741578, 849831630, 285094141, 453611263, 517662171, 104553693, 112848628, 763510840, 69700215, 796583614, 496401580, 738570522, 111281736, 666663244, 966107780, 529799487, 836614864, 991460244, 448160557, 673186247, 188117604, 579200066, 898988180, 182799197, 705021899, 374829172, 862397411, 508941550, 33057913, 379365272, 629300732, 214852830, 861531346, 234320376, 495332656, 908699004, 865425404, 487576686, 351557153, 975078062, 296833432, 317315575, 911334946, 381866544, 189994260, 225730768, 819815457, 538192089, 120165512, 906265237, 321498216, 543420486, 265800709, 425558313, 136248317, 510914129, 655789575, 960311333, 115842068, 146826991, 639007988, 682959798, 456704563, 534923945, 164467396, 888478019, 560263635, 185088361, 332296898, 907662766, 886416673, 369288158, 929574506, 813777697, 143197094, 952097362, 948794342, 901334215, 769180508, 185221305, 190282909, 315911023, 264706841, 399405196, 820887064, 463835797, 97957513, 994508459, 899349581, 164236578, 487480966, 368224623, 28195118, 710330739, 782320160, 950825070, 581524481, 373604699, 873274205, 933246634, 675540482, 260334961, 147118615, 654212760, 767466312, 809154662, 641838354, 595367271, 95043372, 49415084, 434090342, 326791678, 68888478, 802943805, 651114374, 971653756, 567166855, 287884429, 974974010, 251224807, 67113001, 396407606, 571146518, 361484193, 328539510, 839027653, 845177145, 8332719, 838894910, 932115662, 690130443, 434934833, 319468133, 14579893, 925892121, 387319695, 607300412, 433967443, 813974270, 434708273, 923666831, 582254836, 926459825, 109220202, 77279955, 59015171, 522417252, 600919074, 435881944, 808178255, 200613516, 871192494, 643897012, 740673518, 96925861, 703474867, 659939285, 471741859, 970469309, 838907402, 578462505, 148046674, 365406397, 186942896, 316067127, 995138640, 583710600, 91331578, 682346031, 764937409, 921964627, 999803777, 549901181, 598970434, 952477033, 846752769, 342865707, 227543503, 75104690, 516266858, 330043862, 200661826, 950026861, 254515287, 889662386, 131919565, 140252660, 793616894, 673318794, 830575032, 802585082, 89263333, 931150230, 716298391, 913299131, 672998708, 252121437, 720163236, 715365533, 134552863, 566747588, 465280837, 97160520, 286664879, 50885957, 93255921, 829652026, 922808483, 71762040, 771192630, 950485243, 620473233, 820488000, 410318915, 726910497, 171236219, 335735227, 369329752, 795083476, 233879096, 783926937, 787809538, 570394899, 35803497, 281661937, 393644357, 704641735, 899552446, 641603036, 329993282, 34395715, 302436143, 313785598, 900708697, 238214231, 341015835, 656634284, 272841938, 986527187, 679651864, 743802200, 522399802, 649526359, 778746782, 711901280, 358135339, 835216708, 595644307, 643972110, 256724220, 629755932, 439403386, 849244372, 935014405, 595362979, 681101458, 348032087, 412151156, 476197860, 941418198, 480527561, 732798488, 411596139, 569377035, 316526543, 430484122, 31458121, 982521790, 257979111, 650626085, 125631046, 45259174, 791819035, 688105733, 43186172, 879520579, 745437709, 49344707, 535310755, 128374497, 750165313, 989471934, 763655658, 963502965, 365239995, 659668974, 432744401, 219004256, 43236286, 256031574, 81825185, 965878819, 953914867, 919192735, 307812706, 270374152, 836693242, 273132579, 476428619, 161527230, 884745904, 216548943, 301671825, 313454843, 865239510, 529421372, 585951615, 293698417, 930256360, 851314588, 863413307, 286404893, 2195353, 406707616, 438492860, 241408057, 673194214, 477470020, 97492770, 53160464, 105741053, 286728737, 209400637, 650587391, 493200524, 310904043, 738031373, 648494613, 292539673, 879949298, 803609009, 647990295, 874918943, 425921595, 828327756, 905057456, 888898003, 118638112, 386843617, 13560673, 369022955, 194597462, 413863356, 339987505, 506063175, 869674636, 563703689, 467989264, 648664898, 389494728, 184216693, 74673977, 247886161, 391154808, 800354188, 516700975, 538857298, 97633066, 248701197, 289601955, 35251393, 974685921, 207159971, 501582870, 61807787, 566157909, 432800064, 448307408, 139361647, 752172671, 260454641, 702127328, 181766908, 344793957, 406440404, 524778184, 807160011, 487815169, 360173465, 316750904, 246989913, 543431742, 437548979, 152239743, 142456595, 200081211, 147156887, 716577358, 543820724, 543995554, 628148362, 446477120, 893161310, 908942070, 411620182, 43379379, 588034715, 477681310, 579464194, 854716748, 385113602, 409362063, 923031946, 218933921, 469735073, 670024505, 816737592, 326193181, 190524165, 863149, 117144540, 111901126, 557720020, 617224125, 271355123, 984505640, 801074305, 428333343, 996365498, 163736019, 895202464, 606872499, 937100559, 817006480, 168105221, 137539855, 249072398, 876760488, 868254596, 220377526, 301538193, 696807489, 466351245, 88966740, 789894853, 113510571, 304534003, 659538364, 189074911, 828161504, 275137812, 158894257, 14870659, 516670153, 494237227, 548735363, 804981085, 751808980, 700022914, 194823141, 481679169, 580229680, 609577186, 93390946, 753139005, 483368685, 456310706, 967857121, 990786111, 947189681, 173608133, 920043537, 596128894, 339457160, 385426189, 812705344, 56821674, 584027226, 48672937, 751117248, 378031097, 275978775, 548607537, 710101458, 807517477, 433576063, 515380877, 401507827, 460679472, 516482149, 481994007, 676503591, 573678202, 12833184, 515325902, 243665496, 770918772, 273502283, 907047066, 872170911, 997988283, 218847474, 549585759, 241992357, 394586036, 437115919, 298060111, 952332026, 772648171, 755049140, 470031581, 400064459, 485462874, 820936561, 441247717, 331877710, 8600657, 429446960, 921527735, 953879151, 598622070, 436810402, 497814807, 193307898, 6960779, 398875528, 194976754, 375487213, 851622051, 527781725, 925175918, 73188435, 264346529, 905885440, 514638895, 655842709, 385602498, 713956651, 687527141, 766167365, 100342716, 817571941, 284508702, 452855414, 267739299, 562938360, 370791624, 982965789, 517477936, 455461382, 668890931, 731815597, 653744437, 103174471, 207483581, 223785494, 620512886, 883714826, 607533706, 458598890, 447153731, 578770851, 991082816, 409825844, 947313072, 611863680, 641619051, 915527944, 219868687, 884844371, 320282756, 935910090, 723334054, 866420765, 432661210, 858640720, 399012870, 274594490, 619427457, 287114183, 526113103, 117079936, 953176940, 348204958, 330039038, 96649300, 964255651, 76396483, 560049300, 171742833, 753359230, 955409568, 701138205, 106394086, 283109605, 659966034, 203469473, 322067923, 705270679, 527955533, 644508649, 453243061, 334781304, 67161693, 740239736, 845276576, 606254028, 968633413, 270153230, 15609874, 556896113, 473048001, 952026023, 155024247, 8998372, 808878561, 90299280, 256184723, 528969810, 135127449, 294752131, 519091287, 597347636, 484178318, 983115861, 986523245, 982391115, 211087471, 718673428, 280193826, 961685921, 478746454, 622959905, 488452369, 215431500, 475298644, 672808055, 812220649, 129881590, 938263230, 225324862, 551452162, 642621178, 252563814, 343155482, 718791305, 150998375, 522990841, 987476746, 973450520, 13780350, 536636163, 566202945, 469358025, 269010485, 590742601, 490368447, 398268500, 754484287, 680270667, 738144905, 546979769, 891441127, 839618226, 676486701, 534327077, 18410771, 712745100, 439665032, 973998715, 251758473, 107240016, 369514425, 898227701, 913356569, 49993499, 863673055, 102964880, 500497333, 932180724, 739260615, 851220709, 516718684, 884688895, 881837804, 864898721, 898198439, 157092668, 149569962, 84749678, 299212506, 628166833, 347804602, 77971286, 947183907, 954511938, 705491353, 702275009, 245800435, 131769945, 843468954, 286112306, 474536317, 759420360, 506838542, 904281379, 36147631, 48374304, 590613169, 4567540, 846581514, 4218417, 866975656, 227946538, 285289124, 802272596, 569796677, 599551926, 551648808, 401867835, 123877689, 437131181, 756819363, 978030744, 680406928, 439707356, 256161616, 933029007, 460897678, 302662979, 993174909, 752302344, 892740959, 140295730, 259872679, 372022669, 294737191, 379296980, 914479296, 699616799, 678879908, 735798660, 282637198, 892675904, 586857450, 159511658, 259683720, 828864364, 836588071, 915672883, 916968245, 989264680, 383917973, 97063267, 284314145, 777674784, 158017025, 835459049, 377613286, 639961404, 455844893, 367144039, 196173019, 237302493, 797545388, 250759510, 743579771, 686599720, 667024929, 981399332, 60613076, 508281481, 87331087, 322048384, 388881812, 150142705, 903371857, 483270733, 350856070, 276655865, 884448113, 118717917, 556313968, 31167998, 537573530, 181298663, 632802073, 864915106, 67724929, 596666269, 475598371, 623835548, 44787751, 157746260, 223777373, 164632886, 609599525, 341031194, 85033113, 580474066, 13208933, 965498017, 130163801, 647994691, 292203283, 925434943, 102702379, 946728937, 39826707, 574698030, 658433269, 397800637, 704419188, 931450316, 411767838, 366351065, 646336687, 176344362, 191679281, 75556938, 58973368, 3218152, 618316253, 250821515, 313406860, 532623839, 841011772, 223309583, 556155174, 870059877, 243933433, 175211890, 934707688, 780761246, 11359400, 371564365, 673150414, 351175999, 291115749, 38891848, 301962843, 411486232, 516877756, 723851104, 73965722, 974497020, 492180986, 342706112, 753093367, 158220204, 979586405, 577233074, 194508705, 806173734, 748368, 520958330, 244197405, 330882986, 298730479, 661182063, 888944717, 143437490, 967367041, 364803711, 455190360, 690696999, 737051690, 573843117, 358260951, 142176931, 559743527, 318271254, 237800975, 215724646, 857838583, 746012189, 137791770, 458472384, 649699269, 622531836, 406789211, 201621307, 253319713, 275520458, 279276021, 271704284, 125048181, 609944319, 953334436, 195441216, 793939906, 772366633, 28840526, 829116352, 510321088, 64670846, 879689322, 987774, 433238720, 774260444, 425137601, 339840412, 189797030, 729406428, 270570642, 592171879, 804379631, 52413932, 165881688, 617957463, 646944415, 568341675, 108071671, 611919703, 93147523, 451987707, 1607942, 992413706, 655301052, 453804636, 213026408, 118394261, 567118201, 457240833, 222928598, 238578817, 93228069, 421164362, 237482704, 878961040, 41261614, 600236901, 992672382, 611345648, 242618495, 307349352, 597451722, 91873110, 878404944, 615331857, 252748995, 658530937, 412382651, 335465809, 158197678, 877133891, 419957196, 264480433, 529121317, 532657139, 757662623, 658296384, 130633535, 620318965, 758820720, 543594273, 910068187, 133603693, 689223716, 47935942, 103805811, 364895168, 7562600, 326456562, 307799389, 762806623, 101400368, 401428519, 33138792, 295226394, 905759641, 718353656, 976602785, 442118145, 196667033, 873226571, 317904901, 375909392, 893472771, 480996636, 321989373, 531861785, 875300465, 426070983, 547884832, 877846695, 176508789, 865774296, 865649775, 322445565, 648870647, 367921534, 612629197, 589614120, 345054597, 422925088, 651649273, 330361455, 64133505, 174957910, 685448984, 693065435, 80483864, 976471519, 887069055, 994721324, 863001281, 447365519, 771713149, 711921631, 877279512, 22100553, 314695277, 251097133, 169331996, 364409454, 764751124, 250763534, 516226905, 143962397, 624828994, 822801528, 693915417, 478568026, 928241645, 610057491, 141124962, 264059137, 256758089, 101794811, 579419161, 539358054, 345440035, 477733296, 821100707, 638936437, 253148016, 601578049, 394307354, 151651720, 582916995, 393777146, 13646419, 432700597, 993428107, 875316212, 806514254, 936213550, 905679371, 940320401, 829245842, 932730924, 362980932, 618279821, 82340475, 561171162, 22141237, 830173107, 392075026, 941214025, 440381232, 52377502, 119904829, 157354681, 689822577, 849699016, 661567741, 257137000, 923981802, 454285513, 38927215, 181680345, 454437758, 87713768, 280150329, 970107625, 831695693, 484159362, 463304544, 496944089, 123472960, 831604000, 71739042, 153229273, 106297005, 37142690, 963662759, 247071638, 632700227, 966905844, 457127990, 485852764, 113476979, 318276105, 355236508, 76451547, 704898948, 575087092, 163128955, 107548452, 234744201, 243555040, 903182697, 846150516, 483788672, 662660595, 397736851, 49347019, 470250498, 75727487, 182554961, 806928334, 943238213, 285518270, 481445966, 318078051, 950980460, 718422139, 140108202, 794006176, 245252443, 465136378, 680181836, 477929664, 316579067, 854371076, 321414839, 17700762, 16408800, 691948880, 412827872, 224778154, 474907217, 271227144, 839429554, 166326684, 318904342, 607894826, 128918784, 504844822, 263628223, 798306374, 982777833, 544934058, 109100343, 308419483, 65305083, 747110157, 241876360, 138328203, 64527473, 996606751, 466036867, 105341835, 607336865, 610397061, 536506380, 916148715, 712623038, 317971675, 66178585, 975227262, 971884423, 260482022, 929041781, 172666494, 128979462, 952743659, 546369495, 968666262, 190772628, 592305700, 36608007, 252862205, 403710188, 830991188, 247670400, 540238133, 478799614, 121339973, 487504370, 853917198, 33756563, 361211150, 955317848, 982057642, 929985389, 719821202, 966852668, 854518984, 44072911, 113099323, 489122972, 564888685, 782228354, 316941843, 967587793, 176094958, 972061015, 286448925, 878827714, 601165015, 79012603, 608884782, 568444368, 370316526, 403886558, 47473938, 233041528, 290603434, 884774420, 190565495, 891557315, 18294026, 324295655, 717088952, 145845242, 184190531, 258272085, 518258612, 665321656, 505198860, 789908896, 725918546, 831706171, 49662920, 332359094, 399589219, 995901752, 400797353, 279087721, 736899154, 242414293, 188850743, 967181857, 3566564, 869418591, 385828372, 559465968, 384074028, 217187641, 754213738, 301996045, 901926994, 368159305, 86644611, 481383651, 545833600, 634039019, 165021260, 680472418, 823426663, 804756391, 483951822, 883605273, 671903498, 406103228, 340279543, 291165199, 328358375, 730959671, 981669752, 783065460, 835459869, 625918879, 451260650, 560399166, 978114792, 96547748, 397797194, 336190163, 692959665, 432027731, 135333392, 369624994, 219280228, 781754273, 300980847, 327819310, 386250264, 349925829, 397786077, 23595725, 214821763, 930579782, 961827542, 417158549, 757115662, 475619185, 66143066, 223493609, 820039299, 229484430, 863784690, 280923827, 162130527, 905033864, 422369748, 644068477, 785057358, 885379637, 646477182, 418656779, 505056782, 727053873, 259226312, 972453671, 117645710, 382508016, 771973663, 968666011, 847467700, 913904976, 183329339, 450162823, 46566130, 699623814, 332717611, 429775125, 534492651, 962391879, 443231580, 258986803, 381592242, 425043963, 380220176, 767203673, 538467676, 586131243, 697520864, 7568165, 229823841, 902381948, 101302039, 685515168, 473475665, 201713009, 254193721, 123586217, 41439893, 965066407, 899403604, 996800382, 109383056, 158585220, 813868937, 65000896, 764458233, 197973089, 893565574, 370933566, 644033819, 853856107, 204819348, 676506848, 811855744, 194554913, 446421233, 842016569, 568974301, 72574602, 853763096, 785951003, 145650361, 128736890, 929902038, 957090421, 558068622, 606498352, 56944947, 16347504, 641463994, 623693696, 764936442, 206148511, 712168923, 57965818, 51072578, 30702425, 576003802, 889902327, 604780073, 662487020, 983447369, 743171873, 759313901, 50280522, 801558525, 947491471, 981984837, 241357782, 963287805, 435647602, 458131266, 373349702, 610583246, 699352491, 491475352, 417383272, 804799465, 236137423, 452141692, 969126621, 502606981, 584458011, 694353581, 329123065, 413968878, 370580720, 266740800, 688378977, 290283256, 901799705, 861701845, 609179885, 312462770, 150499657, 41495472, 681706504, 998810702, 960418947, 630022640, 204907115, 262648082, 959257353, 613662887, 272117135, 415292654, 41904193, 822169368, 273788879, 723468938, 756079640, 681147777, 909467445, 55303267, 566432645, 301657081, 890620444, 852725669, 272074481, 898442665, 358730533, 632984774, 669655580, 437799276, 442864874, 724657594, 81642203, 295212280, 704714265, 528250379, 468658748, 319485637, 289109633, 420826795, 802571131, 333089160, 9105168, 121804180, 277349377, 809611190, 637825551, 810155749, 781244279, 708121069, 74844781, 85845403, 174947523, 813995491, 554729, 487724406, 969261886, 910070813, 315810447, 575859816, 259540544, 339189421, 794153639, 725332850, 741959802, 874531680, 625018533, 807923706, 1016939, 814599856, 662249010, 422331290, 388845287, 45597134, 318055390, 520227459, 375860611, 279796235, 148019281, 954531613, 186203250, 154620612, 731086901, 331526642, 40212927, 517139381, 313868984, 622852872, 301699838, 959898776, 81775147, 716305797, 91445233, 231891111, 437569795, 650094342, 25865053, 252697830, 279844433, 865882161, 305677417, 972107840, 839714624, 756774902, 663867140, 236186007, 513125379, 813287956, 909221992, 996396975, 458162908, 478669916, 944980147, 229426540, 338406906, 116339799, 932287331, 598131187, 739367745, 998051224, 159257502, 197887194, 930433391, 250109854, 300534137, 387781246, 172780670, 995506495, 194850789, 13966488, 653151101, 529299935, 785822554, 376967092, 983891666, 910987948, 37473641, 750585466, 719968498, 952315449, 30248919, 915945047, 79331976, 6918658, 524430326, 307608427, 40322164, 828284607, 410477063, 491469487, 575433063, 901918558, 866377867, 694128078, 398492071, 662052770, 61475445, 13518324, 234815923, 936267218, 383138505, 472898789, 345311002, 474441895, 299912571, 298349142, 459152484, 798739868, 74894701, 601682776, 48847280, 262229010, 626968119, 280091036, 888899825, 848751558, 947289800, 493773485, 103011530, 193019276, 273733572, 211990864, 152009458, 895425003, 629915013, 848564795, 41479083, 595616871, 75526163, 127211841, 991549626, 136486090, 783914822, 19212538, 334961074, 389126353, 739634777, 286679433, 221771713, 353811064, 538694278, 349012859, 601934822, 319401303, 872350995, 948077345, 780690008, 63767061, 687514777, 262571454, 540191404, 427269317, 407805, 521770570, 238985751, 632981337, 191894833, 954183090, 626556382, 612561129, 486447371, 325705168, 211887440, 161272634, 863360122, 925808813, 907724102, 664364632, 621258355, 689738325, 970390749, 289107741, 968907607, 386664108, 324407786, 189214202, 94612769, 593540865, 818396722, 254777408, 66691030, 834792830, 966296331, 173098037, 303149574, 561165641, 661186855, 841073977, 667171481, 781289985, 299363357, 51022632, 202052501, 26016979, 578175746, 145430618, 652713007, 471261297, 772450324, 784999729, 577988244, 67890273, 741389201, 118465541, 6050095, 342625702, 919884813, 253709131, 406017492, 845663064, 642741056, 657956728, 163205371, 959937828, 700319548, 851518414, 600022558, 59707662, 900916714, 304155974, 186408548, 447687211, 38917455, 667434628, 827202270, 394995313, 887970090, 496729829, 913606802, 774537916, 243516441, 288139983, 648316709, 874569150, 12359921, 258576758, 10470075, 142644236, 751349131, 789374808, 583619371, 28855486, 755680848, 482495919, 858044358, 965621204, 463665465, 160139927, 254576513, 3137613, 682370755, 863651484, 254083707, 606659902, 124617064, 526697937, 415206917, 927615905, 345783120, 406155363, 88667915, 564652937, 452668074, 178281423, 648198353, 43755348, 619453515, 52059752, 597836585, 769189848, 612453815, 598885316, 225595299, 432050619, 86706456, 156089499, 780935774, 735331951, 464717825, 235545049, 904783686, 712028198, 260692842, 98425338, 708548297, 539306974, 183093098, 876238134, 273623239, 268052704, 402230585, 295585367, 136393737, 159430223, 838742875, 66136179, 865967320, 128902827, 393184743, 271261920, 847771598, 422915902, 309622271, 823500218, 750431417, 555225771, 535173550, 187718294, 540873787, 36188775, 627630638, 698226492, 771685991, 180591225, 253185367, 663333008, 934005090, 989720905, 397568532, 332281166, 323438160, 590369488, 701385518, 125043879, 100763482, 740685005, 174968061, 193406147, 782576920, 425146376, 57774011, 801434431, 259065302, 998444973, 531249774, 79513070, 460945026, 386023741, 308675594, 624033198, 288844530, 223862878, 767285952, 775848095, 760544423, 149206424, 653926693, 806088, 973654478, 356310954, 310683711, 552031652, 657320302, 502172167, 317078379, 912043267, 426454236, 1525211, 972505356, 123243739, 305733203, 302837337, 112216714, 478046820, 811350688, 346440555, 880333732, 88600295, 214354380, 752630263, 476239915, 369268847, 109018340, 937609199, 216510085, 70779970, 912585285, 555923233, 244378232, 580137846, 428237395, 131250989, 542770151, 528765499, 257549549, 279480697, 361350456, 569874965, 778742353, 131198130, 220391377, 890988791, 266179110, 757366602, 894525444, 632264883, 976996481, 34168160, 770666346, 14913825, 699198648, 145539675, 347831319, 387549936, 360171497, 704466824, 369032493, 525472286, 655311528, 13831945, 477525173, 72688342, 430823182, 399852477, 151427728, 90651225, 237114877, 738051275, 339214329, 882866547, 260578702, 52265072, 438937738, 465177540, 476887776, 685094257, 209749737, 597179396, 588413973, 151115073, 571344897, 193458025, 740492759, 982231666, 598757068, 335058294, 875262949, 972568489, 357178756, 909058372, 998165642, 95450196, 954093196, 507210548, 826485751, 507555160, 882023761, 946059965, 335671275, 57747441, 679491626, 260964931, 619028054, 765488126, 793672520, 265282067, 211080148, 228306876, 855969708, 97210537, 628871705, 458519333, 446815272, 940666410, 530840423, 275928775, 861687702, 516814285, 532619015, 176372071, 31622202, 69014999, 494778071, 518374110, 818922717, 335125010, 324754357, 249928610, 397269981, 957760055, 59590883, 980538640, 169766809, 478549851, 742793553, 272172360, 817652701, 378450331, 314452383, 212632586, 370032194, 862925085, 839775596, 401038312, 765882590, 25165547, 409081185, 758717854, 29323144, 802113406, 619335348, 670187597, 432992764, 842300893, 451190819, 543777190, 955899663, 167468838, 911305454, 943898810, 429047069, 870305674, 108945073, 375917020, 157236084, 269449257, 509246236, 623982958, 152174729, 214323077, 326196592, 160257757, 347196106, 427685579, 101980047, 148361038, 162482083, 397455571, 656528552, 337869993, 332644833, 951987822, 159756238, 911309883, 445389380, 53561727, 389885080, 892891025, 615089903, 397677586, 826739378, 597832725, 820872628, 92304719, 974260177, 188145987, 496908853, 652170816, 442522275, 135927893, 78123716, 184120078, 184137826, 933891864, 154815712, 976529142, 996029324, 364254469, 439608844, 813275602, 402508956, 93046189, 398679305, 185801436, 212295926, 439035545, 347505648, 983238079, 531951038, 891923807, 374326942, 15383427, 269669111, 253280873, 743917086, 24854336, 937583156, 413136149, 605154802, 676774715, 234441052, 377327301, 116490810, 324311745, 274836385, 459002617, 642516882, 551396111, 999882622, 68450921, 1175391, 993786840, 466454106, 632627337, 677853710, 46385419, 766606653, 554175716, 195409438, 800676227, 998397981, 603943619, 455388781, 796053487, 74531244, 750692148, 527969567, 15571312, 675420846, 547105516, 614303552, 867181126, 118961158, 254387999, 997958504, 141355567, 792788923, 195849658, 139015753, 186702814, 917327862, 657267424, 957504120, 791970733, 391916529, 104634974, 21408071, 882177415, 639306152, 85771927, 145946594, 502658797, 84541966, 6037049, 607214057, 892819474, 381942649, 567045503, 982239196, 536589177, 413343240, 646834247, 952516105, 815609737, 73110969, 32844520, 690559674, 485839152, 270935012, 837605968, 930228322, 648048461, 262494, 59563011, 155651427, 602871424, 271981151, 341302491, 393093646, 347279617, 780965491, 407384524, 371554884, 98929662, 461255312, 978259876, 480744698, 224461704, 435067194, 887615803, 567271624, 803306762, 665097394, 673323885, 836951559, 680647204, 682723396, 558406523, 947807862, 950256734, 674056879, 279729097, 839146595, 98739001, 556215231, 481665717, 693320682, 756390517, 243299690, 657060868, 884378811, 524717438, 452407484, 58830953, 300892817, 237906350, 195229497, 803119766, 655150059, 941488260, 358730238, 371764031, 832355827, 23839303, 207738227, 16373697, 182385232, 380362034, 512306434, 894095701, 567218130, 192638973, 197385856, 242273426, 422060930, 927336265, 882999313, 85163850, 90610765, 33516238, 776923674, 671945613, 767518373, 860734720, 513009892, 472622396, 819011033, 211774526, 855935661, 421296735, 54833051, 1416094, 509163150, 50750086, 339376333, 365461760, 591744996, 442439639, 587598543, 160213172, 34913210, 249568549, 914294680, 894468449, 837470852, 494512780, 560807828, 276349974, 260858355, 544586482, 624530253, 849676050, 35894795, 427983737, 634172670, 273198955, 461621948, 113624766, 205576139, 782246301, 757272230, 842899237, 905693435, 700009439, 591057257, 189436606, 641184817, 587002957, 463527400, 403404023, 402230310, 38604363, 262577276, 405489435, 357904488, 993262554, 865360593, 491408058, 876957195, 311669384, 136847160, 574403364, 180979520, 987273841, 222568585, 699944150, 21794238, 895981287, 680683489, 488202442, 136390356, 536222139, 65700491, 78705970, 554264708, 800700778, 877949733, 936619470, 591954633, 79930816, 232205499, 37931336, 179217025, 305784357, 196364163, 935032428, 552372894, 509841874, 711591431, 996630040, 642916, 198447071, 915387142, 385230643, 426677354, 179661606, 666228106, 281381972, 21429528, 2191402, 295070217, 607871566, 521848641, 275787847, 653311201, 648284498, 967871972, 903775523, 105354847, 569100761, 822251904, 275538852, 817375763, 572291096, 118333166, 608263793, 498534249, 919601492, 471522834, 259782980, 334129544, 456851834, 516704059, 471048481, 126884638, 30081818, 558935040, 583999555, 61163733, 951959983, 878291251, 499057382, 343314917, 994473755, 764749508, 83074152, 255800380, 838086053, 778110962, 998662202, 417771902, 827436248, 445301100, 271108584, 958805228, 913987415, 249598684, 555368814, 126805845, 311277480, 73260345, 925419810, 165617237, 667438706, 773770039, 337277232, 831108292, 454416114, 874855177, 441074449, 906486196, 782284609, 295082215, 190072540, 121569484, 496608056, 642677391, 512247467, 873809389, 786633911, 102873144, 741263564, 769060751, 627628656, 139637891, 741475920, 426381493, 762813552, 394760846, 593805238, 691291458, 513182619, 327390967, 816275818, 462583724, 421047168, 4215878, 21775094, 532928014, 349426192, 970410167, 188617352, 817169677, 688570103, 718024792, 282214936, 317892068, 114773345, 583410508, 739470781, 94259673, 222912358, 738351720, 539132037, 39110660, 313825975, 111631432, 930240694, 799716896, 37829409, 90700055, 765040251, 202940178, 31774394, 843145447, 53574577, 613865045, 170916701, 740673169, 66242574, 447994721, 154332620, 241825115, 221628267, 42426927, 295021729, 187970787, 199337830, 511017251, 609990874, 187911787, 584799814, 306857594, 18098904, 642531198, 779530001, 122663809, 945498313, 358155409, 388933963, 280750065, 453524674, 361745865, 311474775, 21450966, 400540171, 945495115, 466756739, 334373940, 12551322, 831392833, 766253952, 69538398, 858018825, 449528783, 947166417, 49062715, 957112193, 428920544, 723426839, 505318870, 836263110, 861684657, 34751022, 548529387, 108983646, 251654221, 497438877, 378555567, 599603889, 686154590, 201411534, 273011910, 38224192, 778627463, 782893383, 661223512, 246845715, 621158987, 120250031, 38693343, 418418530, 265971666, 734449581, 465850256, 429076292, 552575684, 747114073, 655379359, 978748955, 344425978, 641850087, 878812392, 460399252, 504818791, 939041896, 530873458, 571966528, 947544044, 397643361, 889040140, 827855632, 107802721, 137555469, 375116253, 226267054, 361691180, 630946265, 295389486, 875708036, 321513361, 616054935, 161133240, 61648419, 725988549, 813232915, 652535669, 365046239, 897259434, 959336119, 328361321, 396973885, 71397766, 581117480, 489869662, 460992716, 917971209, 51184201, 690159198, 940767627, 973124740, 265477103, 56609201, 469731120, 967549345, 977409499, 30294318, 796423675, 70708268, 104452036, 121343816, 940465673, 625350932, 797652177, 109187462, 746373726, 705459831, 80487522, 855767497, 942139863, 568910441, 895048574, 700590502, 415404273, 252217289, 94055450, 874235040, 122183486, 968016460, 968614878, 828691592, 254812248, 523490646, 130727131, 459286199, 309967067, 833390190, 220402695, 511094645, 220300093, 268174725, 215845968, 488623676, 389256368, 138136913, 836426446, 275077522, 264633042, 858862295, 915566835, 214320683, 349513725, 86088675, 526247205, 1700558, 893993001, 841981939, 715256704, 140563385, 631019443, 698068815, 231899014, 111686518, 199655514, 540424465, 531214798, 267882778, 784866455, 799347117, 353588410, 971786551, 156430187, 565553809, 881876002, 331880225, 874832854, 511205301, 562763196, 923845265, 330271805, 60322815, 62502709, 122414205, 632820266, 405262634, 425725055, 896024188, 348400951, 470749323, 976671021, 824936190, 939001425, 701367300, 112163366, 933483820, 971535286, 283400354, 233196847, 403610942, 219204911, 71500414, 848345305, 352782827, 898523232, 91443117, 889609617, 565883503, 448977602, 118249615, 808569208, 625833554, 127672920, 784729794, 644993716, 810757642, 512950813, 519619492, 8568259, 887384931, 231353434, 922985111, 747386311, 809094756, 911512113, 759298643, 46077263, 929973819, 499857545, 691351502, 678348757, 536348909, 491359820, 351274326, 789957387, 409753268, 844615730, 91931982, 838875162, 257831421, 386366850, 494492965, 883904471, 388612395, 828568935, 521117244, 434355759, 78218608, 98904475, 91001285, 163101649, 774830410, 825536780, 473268970, 886616187, 44585408, 672761234, 531154845, 971312894, 42201937, 374104877, 217729653, 130610711, 781051513, 637073473, 164601516, 976702498, 79686152, 296832558, 510366757, 927991689, 385958478, 371563135, 786213492, 711428392, 210238491, 13745017, 217103950, 820921427, 217787485, 380017179, 347828973, 439541232, 503462259, 456307830, 416940005, 426211136, 326200475, 177568034, 967198783, 114296696, 957169224, 293349105, 747394558, 154211810, 62410548, 806143565, 52332520, 377130911, 977261652, 435871599, 407508034, 73674120, 139382365, 148706460, 879606220, 797879289, 156369444, 339462214, 523028992, 324632342, 464689503, 197567132, 58905185, 421193436, 796330951, 982358570, 310473646, 265066471, 287988234, 291864971, 315960951, 366067801, 506497255, 547385666, 971493023, 338560962, 122370536, 959160777, 357941253, 9434272, 830153306, 859341283, 937973251, 49370531, 521893201, 903786626, 790399646, 894276400, 903222513, 685799357, 358065184, 181291136, 774917506, 885888507, 224879640, 627205562, 825355570, 293006912, 360617824, 423386310, 722949994, 474239002, 587027227, 73018378, 527152439, 2364845, 300887166, 763586731, 539088422, 915295637, 778943620, 211892412, 261581172, 780254877, 73258932, 833103048, 807528799, 788659340, 745015038, 175249943, 567118538, 848857792, 15861337, 872461336, 554173529, 60780917, 903022017, 730173290, 911355463, 369478815, 135315569, 913642887, 561167237, 414861934, 838117083, 558130852, 888336283, 964857226, 670688658, 603097383, 822444638, 730055488, 890136457, 321344697, 594520233, 614676708, 684584794, 450172507, 759647440, 795300852, 496345923, 23434402, 171265437, 696471192, 484926459, 130474058, 886921116, 978962903, 75304233, 83144210, 632235419, 91052314, 750626304, 305613920, 552055828, 844058303, 638360532, 844024437, 725493496, 152620754, 388529120, 379227534, 537023216, 881387373, 51382411, 179635836, 213610630, 544049700, 986548874, 373327268, 740298135, 487360185, 356946053, 973810594, 575704981, 372815408, 837954179, 888163710, 859437700, 439957356, 379186882, 425572734, 17151186, 471190295, 807741660, 878693668, 530412915, 321590759, 568236824, 250190458, 955609897, 611008215, 92361195, 164029717, 73685446, 66523665, 506137498, 402586347, 818453749, 513730788, 425844930, 581093945, 186626107, 881906527, 572206979, 953820917, 218623244, 667593159, 730230499, 82022003, 276863138, 259288238, 871562639, 309774004, 901574227, 272803967, 986094813, 313719478, 563782200, 550321319, 974926430, 51565918, 680528207, 598928758, 954879289, 454367651, 89217175, 426272620, 528609468, 356339537, 882946011, 541155220, 910403347, 679182531, 789987651, 769268709, 545586281, 260932373, 953901399, 614243501, 265665124, 522158120, 93508886, 217809415, 373690731, 59394985, 322524431, 218070480, 348413551, 190872799, 795741345, 18304232, 30981280, 161186209, 93764158, 742293354, 231016397, 660996306, 879905982, 295603817, 803417050, 800257962, 645705994, 51662926, 489770883, 348800998, 162219632, 306283154, 993959005, 458172277, 292681888, 621100450, 55953959, 277770324, 768080358, 388918303, 508635529, 147204371, 653757323, 608212216, 488155246, 905442431, 269819737, 348135643, 802721705, 727538620, 838869694, 768846325, 72705567, 2917271, 156586064, 558767351, 46099501, 73129814, 201208153, 319867050, 668413395, 149807342, 167762847, 580923731, 51579738, 483011118, 729358604, 878049390, 35995329, 633140146, 961892000, 557871030, 178741044, 700471875, 679023190, 484157946, 698010337, 900991985, 109342881, 874920003, 238435832, 851197205, 315562463, 618815599, 107603440, 916956036, 740141927, 114643909, 568596525, 134475127, 449056364, 382120449, 979201285, 150289259, 170928417, 459364641, 385272422, 176618349, 901332432, 251464096, 606114608, 78948602, 675737703, 586291298, 318184509, 201557694, 627171010, 981175079, 942875884, 79112814, 11126652, 220746187, 860661751, 535105527, 285652218, 924014055, 886913577, 651521984, 487467879, 860854605, 208189453, 514330753, 282248253, 346498262, 899115750, 964797665, 80112349, 56718332, 241434680, 390615064, 15992928, 768775700, 771453997, 730314942, 187806076, 127859046, 579982129, 999035537, 284408078, 486947377, 265189729, 245302679, 582234386, 152215567, 93626834, 20140945, 253066060, 781417035, 722912618, 510676540, 700434291, 265335267, 80019467, 138137745, 786921628, 855442313, 545371378, 966986296, 43926316, 965220069, 834131258, 694586307, 955270213, 64571830, 428858967, 714250637, 875937365, 721103773, 743266500, 410974686, 841738982, 721718392, 192532226, 281722487, 980628386, 308122101, 346455837, 974901010, 871585719, 403486615, 288011484, 602675127, 502159124, 428156069, 161132354, 281841246, 108137019, 799048156, 181804317, 56058428, 760466481, 863672379, 570422177, 535651742, 940764013, 73742745, 46691152, 767431245, 75782565, 580992610, 235798661, 528362502, 361433951, 810916148, 503718636, 147124920, 784609103, 250773233, 358579612, 136893555, 290762904, 539894506, 356827242, 468478938, 234308605, 764451582, 414990687, 359103975, 607817419, 828868724, 625332183, 746125268, 847896215, 249649446, 738693481, 307223826, 900080935, 371915368, 19934399, 459081657, 122924506, 981916796, 779833178, 972858689, 666949399, 358396149, 985306500, 642696770, 702670415, 159745706, 907509139, 773432631, 38103458, 239809570, 851530440, 405843614, 251018626, 661928953, 926050372, 957056330, 959840395, 323285397, 924207971, 992726456, 138495836, 452156222, 67332393, 765743835, 111967099, 342543530, 40394068, 441185389, 838389071, 818485865, 627680886, 30537274, 955600892, 916053492, 27102407, 823045200, 826881383, 774023529, 250054422, 494135371, 695497413, 275728531, 222546046, 423641123, 422697817, 870331817, 129090800, 710165049, 314261885, 85657099, 278457417, 631018571, 527536213, 167710262, 297061627, 595658186, 906356203, 996739817, 774718967, 569092555, 917124190, 985872029, 37854163, 597885816, 76105975, 425232593, 114620617, 496361983, 845543834, 213834730, 772362164, 940157357, 457095306, 875201413, 949362426, 619157958, 983650259, 918155649, 414114875, 446099734, 229926358, 618805821, 681785499, 680434040, 303063948, 518379601, 23957944, 935436813, 400803950, 727262787, 855642325, 426244346, 244149962, 899581461, 416922029, 15130327, 954137168, 196215227, 216069713, 285011004, 716815089, 759246963, 141993273, 603497766, 689237214, 198417373, 630592492, 709464828, 387786543, 373690973, 388099666, 601225061, 242444525, 79697603, 850145602, 919992347, 473272416, 129208382, 669091583, 199905613, 165914039, 950787160, 456444556, 298768092, 891239943, 871414129, 873923941, 217453204, 934666286, 730565127, 748390764, 904593166, 671477325, 751173496, 31455102, 913359282, 563702548, 763312441, 636497600, 443242973, 407868989, 801959305, 357268029, 785182063, 776929735, 245163613, 53463168, 729059770, 844784893, 982897964, 916042548, 684234056, 750295903, 454213989, 958557996, 704123155, 124773408, 747789678, 624361752, 203383649, 266160873, 532074552, 866449339, 196304148, 695132716, 877603942, 125601734, 349087002, 164475724, 738651033, 673671540, 146685989, 336102161, 817918988, 759423881, 898490938, 267782873, 349207092, 409959242, 174903716, 875233705, 644587668, 107258446, 807970494, 575098468, 567864876, 814860164, 812145023, 73361276, 128302090, 582760503, 64362997, 293161538, 420446532, 753739370, 749024856, 440921868, 695372138, 530355028, 137157144, 299698708, 304762186, 266852379, 259997081, 335960596, 295651483, 75748580, 813995633, 624583780, 458780768, 704058007, 967918318, 976948501, 345235104, 580762717, 887268490, 621596015, 910128015, 501969879, 334591172, 56951730, 486417821, 879739185, 228912463, 507461977, 268337507, 822948650, 88344354, 292151959, 579711582, 645640875, 522205658, 69453717, 842341659, 839432720, 858159750, 962943188, 658785855, 791738287, 460820562, 442121645, 833144297, 915682199, 157243110, 698488400, 757297069, 969228484, 634692983, 662470068, 766095008, 99762503, 568209873, 873156079, 966679164, 274972511, 999935604, 421388279, 284330122, 364007550, 148652805, 690492643, 84045000, 393911307, 147335081, 55893709, 779866591, 513227205, 802840675, 345469386, 849948576, 67455147, 793223988, 440569200, 414141978, 192138225, 694196607, 809634686, 226721255, 6937929, 477953755, 320585254, 584216582, 381489894, 504128766, 142182045, 293374683, 75852730, 765165325, 173790671, 24148504, 381907510, 738301828, 77301592, 263544094, 600167459, 441423330, 472756510, 438669301, 700297566, 332243535, 838404631, 605435919, 297760252, 871143030, 760575336, 749352903, 283154789, 530354052, 597474318, 768482466, 457816017, 785962416, 512252352, 739598308, 761673790, 211464485, 364803929, 659785789, 216530272, 308039663, 72328488, 656539167, 515927222, 275505151, 476315414, 438508579, 262836591, 889507418, 21718498, 170484470, 422706660, 234801896, 252382185, 509700794, 56092078, 783411558, 471942916, 488673025, 306752017, 495392329, 933541945, 995722700, 81166867, 94300972, 416010790, 491799027, 486566568, 333195311, 788569734, 213384988, 628689339, 362965631, 209614483, 736342462, 61918932, 42407847, 387070428, 684670516, 708537529, 691427860, 972576235, 460882302, 135671169, 678579303, 526400524, 82332336, 228285408, 421089488, 530519348, 35126611, 799392197, 385903608, 165481988, 347953446, 923532436, 433558842, 37265955, 945262965, 587945162, 543777200, 384142225, 214670210, 234138698, 260372135, 11357265, 675280704, 888239589, 146709428, 727397867, 356139670, 296787824, 432853592, 214221713, 581773141, 689508395, 882785628, 897365028, 965669867, 618288713, 784103326, 987054639, 691301706, 280974678, 467670, 567202589, 657835403, 225668959, 231794114, 470934033, 463418767, 892930146, 488101996, 113206014, 532335697, 330093615, 833839900, 117267457, 140035313, 680525048, 668786912, 357856772, 713191217, 889032634, 715732963, 646389460, 776160849, 169670459, 991672330, 700603581, 608333509, 233284725, 322146922, 983995544, 856789200, 227702190, 170691724, 470785192, 56302081, 956479399, 695575446, 523382368, 161377338, 78306686, 384039744, 76977749, 876297715, 11932850, 643114007, 702849735, 260061758, 573509928, 283021639, 369423428, 153846276, 882015393, 109476902, 700993311, 428018306, 874542293, 945778675, 912017653, 471026903, 28636787, 711856860, 488240871, 303220911, 251221550, 819756752, 236214049, 326478346, 281787335, 203751404, 18215784, 778628237, 181827839, 833223129, 686511336, 889260557, 729991206, 594757393, 442206721, 273864083, 384515331, 498547703, 43893904, 369354027, 276435734, 638831430, 925423903, 169244447, 713571854, 299793714, 983123116, 6137572, 309244051, 947922421, 524362359, 937839278, 575359983, 232557369, 549173814, 605540478, 717738697, 573000968, 278461952, 779167530, 908713614, 254373222, 69042323, 446070331, 152604039, 211148618, 756713835, 225057605, 805558514, 384757371, 144290779, 130318371, 265027278, 455143480, 45266602, 775642009, 963732204, 654266367, 970497697, 115382794, 696780322, 398234479, 717278431, 39511188, 605472602, 383930491, 251295223, 953190711, 224443665, 129139683, 789728038, 34551920, 181054167, 440385937, 504523438, 110423967, 70296556, 560697036, 153648088, 63465732, 276720061, 561743072, 783292620, 433499438, 813231545, 217668702, 222015669, 799037663, 532469458, 67418169, 112908703, 979712956, 498170560, 889325879, 586355132, 545873908, 923848961, 41556268, 16719790, 765934070, 481138422, 302165970, 907445460, 433241265, 361828344, 848113380, 10725932, 135348035, 300143467, 977403649, 211486864, 996581724, 857308411, 30799664, 592384025, 118291046, 862606361, 813197625, 154198508, 521000208, 63418145, 316042241, 905265785, 615144761, 399982377, 221692047, 146591014, 996230327, 140733252, 669617502, 436236718, 85439385, 264640272, 294214873, 473522066, 349159543, 978310929, 587017871, 157116111, 244805985, 713087973, 604138936, 917408935, 767545133, 735962944, 501309183, 869698117, 374047213, 284729114, 274950670, 184467706, 632518228, 921051614, 908329701, 127291830, 744000609, 783609542, 317289750, 563583281, 247110221, 506899775, 91856877, 968426730, 254507513, 874871206, 575635127, 57435169, 746994297, 270199279, 586078303, 534321245, 89231316, 243409389, 984872695, 602875687, 967193641, 504410790, 324320432, 304800220, 10521796, 884694599, 676495875, 586838365, 509790815, 157561197, 774167141, 491513562, 792482408, 394148935, 48076889, 275628373, 379638863, 135909169, 872322060, 56542370, 793881914, 479648044, 882974572, 936470318, 698841280, 679338441, 280697003, 242669991, 51860054, 19311647, 544563396, 645639294, 817836345, 291739587, 137774091, 664759485, 207205472, 785646140, 472371166, 814061619, 738607318, 798721454, 562874834, 90637655, 482896215, 180230722, 670725360, 825790750, 750162303, 76458241, 212563156, 81578370, 730833567, 154525275, 710887944, 783760398, 135609983, 822847829, 959137681, 896091487, 285429755, 878941490, 991946966, 939828831, 675059043, 240827909, 797730460, 491094367, 484390208, 586788685, 519797221, 803029456, 120049921, 331729630, 397300202, 468600471, 828310349, 638126999, 512407676, 735815049, 127262936, 360343240, 7214375, 473778287, 235353321, 701002453, 715479638, 498559607, 269250768, 17435562, 251019353, 426105364, 347104312, 240219577, 628274267, 757358261, 597600425, 296858682, 666252098, 695389094, 293106674, 415656122, 665800058, 743289643, 382080907, 184920043, 232781552, 28659416, 279425793, 751073673, 272752149, 113606357, 464422580, 332790942, 769105564, 66227382, 655754767, 653635143, 883077510, 279612181, 332563529, 347448883, 297285810, 726023510, 843570161, 298154159, 470796295, 327308944, 113299238, 420094140, 621563499, 732594414, 527424672, 189955811, 88601537, 626969880, 269283967, 740152930, 353906394, 57253165, 944317805, 620598263, 683428048, 36852308, 871862030, 678348288, 310407690, 953562020, 227682529, 572993318, 82430002, 969777815, 554836885, 4873418, 683126130, 194441563, 745216479, 960711940, 693571409, 64208011, 945689679, 299701949, 697680525, 213296897, 893596671, 400586138, 41173684, 922268205, 958418171, 488821749, 36529135, 540106555, 163305597, 888193507, 72802106, 40085557, 257306459, 965204803, 18789935, 39650900, 818242382, 206953651, 505422039, 828151969, 938142662, 290115927, 673156181, 41602560, 470608759, 826550194, 478289274, 231916019, 375935944, 464624252, 203862981, 654765651, 475202611, 357143587, 703460680, 922164684, 797317963, 798629850, 657656608, 216063806, 953940252, 785202388, 609890670, 6070761, 590037797, 261732383, 728031156, 241277287, 320810213, 46201245, 182836601, 754966506, 912477679, 712052485, 718347636, 402664349, 280061965, 390476070, 112291771, 409647473, 681680536, 571240716, 488320887, 330501527, 423725809, 307436782, 667885754, 875599826, 868342507, 739163591, 867478879, 377571395, 462261459, 910035125, 340881623, 821972217, 973002933, 587897458, 95223618, 213731211, 625519532, 702748071, 763165112, 117498976, 280741451, 911555769, 291782621, 678441732, 78414036, 218754310, 503291170, 181903682, 527431509, 341541936, 824366369, 24087331, 403096850, 835643270, 356380095, 137038296, 379940473, 641028920, 267463118, 159922152, 580147292, 245576907, 985289324, 825503700, 75333101, 324344277, 107539347, 735471268, 983095077, 633527988, 459403618, 681886098, 119994641, 442437245, 39091298, 953624636, 422982958, 708465168, 78935680, 314924579, 277911085, 923660822, 22714294, 611620744, 963727647, 476973023, 330324835, 478335574, 72355991, 544175411, 964656943, 716739422, 552686247, 592826379, 808023158, 259666800, 347002052, 984521898, 814791516, 344934666, 719828517, 469381415, 884908741, 200180287, 423779896, 41633238, 339758222, 560420792, 859462956, 336479717, 433063522, 442090958, 204755917, 822941177, 840693411, 978598224, 639366865, 977983683, 925515878, 678739322, 75207901, 309177706, 830157283, 92747617, 246131952, 451185842, 670662922, 285923176, 947753495, 654538696, 40335675, 159488505, 523544064, 977203358, 192587577, 265007352, 779596339, 320103439, 961678983, 541360377, 597394538, 54730152, 591734791, 217078181, 996935610, 814574403, 924288531, 298744802, 711774921, 28039273, 280372620, 820034597, 980882203, 773310834, 136014992, 171449411, 41741132, 730813893, 481589193, 570447133, 991236757, 692966948, 65460580, 184658084, 171501287, 815773176, 825117500, 931547129, 387941744, 908458727, 487557708, 76385657, 827276764, 205478515, 414272069, 645950877, 876208898, 569961692, 757503587, 877666335, 884968386, 245737184, 323677992, 317195208, 889574872, 384145786, 930587285, 530919159, 813408878, 927773635, 895141725, 277900575, 264735404, 933186467, 57780251, 80114404, 659834834, 13855452, 794169414, 123524600, 105237100, 497059383, 119462424, 141899200, 96046910, 677566679, 482489122, 917795144, 55577609, 558261741, 942262253, 669596670, 5533979, 231193661, 938720988, 125715452, 330012465, 561431792, 602849400, 29398540, 88364399, 916987529, 988017263, 595622798, 663106284, 717020886, 946344088, 401886877, 91464655, 491778803, 585268694, 767167093, 352231945, 793528015, 700821486, 168737843, 728863788, 351355858, 642892016, 934782279, 780056996, 189398410, 640479396, 275680174, 44959867, 402603064, 939592466, 484707834, 720999673, 484138750, 311007072, 650497665, 477425697, 279917251, 793053232, 347000982, 459462237, 624383496, 840732695, 829981890, 812798015, 834549047, 904859071, 861079068, 349014573, 728195373, 940381353, 161509916, 98629444, 65919379, 931746946, 860873110, 51745688, 392710988, 767153449, 376345771, 780480140, 341017321, 631497010, 426799303, 316555344, 935706066, 740367913, 878456862, 290369023, 341149647, 108018899, 704391065, 946613030, 888698675, 625735641, 705230057, 682993926, 917724882, 267857696, 533789043, 854033932, 902228283, 961793006, 388168134, 408216414, 320802404, 624710290, 625665173, 115125988, 86937866, 422682070, 133614559, 108947940, 59509483, 672451663, 846420237, 68051314, 494655172, 524261551, 371199610, 819169902, 947108113, 313958922, 604803634, 471389148, 427535663, 895367576, 320165536, 78619523, 699553733, 523981013, 468048896, 806425190, 178042814, 820486486, 655703874, 511308259, 267289904, 530097822, 4752455, 633073694, 893995653, 255335811, 23733245, 234557039])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimize_length_of_array_using_operations/java_tests/Main.java b/minimize_length_of_array_using_operations/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..464ad502af8ebe17078091bd0ab62de045f00227 --- /dev/null +++ b/minimize_length_of_array_using_operations/java_tests/Main.java @@ -0,0 +1,24 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(1, minimumArrayLength(Arrays.asList(1,4,3,1))); +} +@Test +public void test2() { + assertEquals(2, minimumArrayLength(Arrays.asList(5,5,5,10,5))); +} +@Test +public void test3() { + assertEquals(1, minimumArrayLength(Arrays.asList(2,3,4))); +} + +} diff --git a/minimize_length_of_array_using_operations/meta.json b/minimize_length_of_array_using_operations/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..393f8b941b227f106e6ca4b4ca770fb6d95f7be6 --- /dev/null +++ b/minimize_length_of_array_using_operations/meta.json @@ -0,0 +1,37719 @@ +{ + "id": 3244, + "name": "minimize_length_of_array_using_operations", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/minimize-length-of-array-using-operations/", + "date": "2024-01-06 00:00:00", + "task_description": "You are given a **0-indexed** integer array `nums` containing **positive** integers. Your task is to **minimize** the length of `nums` by performing the following operations **any** number of times (including zero): Select **two** **distinct** indices `i` and `j` from `nums`, such that `nums[i] > 0` and `nums[j] > 0`. Insert the result of `nums[i] % nums[j]` at the end of `nums`. Delete the elements at indices `i` and `j` from `nums`. Return _an integer denoting the **minimum** **length** of _`nums`_ after performing the operation any number of times._ **Example 1:** ``` **Input:** nums = [1,4,3,1] **Output:** 1 **Explanation:** One way to minimize the length of the array is as follows: Operation 1: Select indices 2 and 1, insert nums[2] % nums[1] at the end and it becomes [1,4,3,1,3], then delete elements at indices 2 and 1. nums becomes [1,1,3]. Operation 2: Select indices 1 and 2, insert nums[1] % nums[2] at the end and it becomes [1,1,3,1], then delete elements at indices 1 and 2. nums becomes [1,1]. Operation 3: Select indices 1 and 0, insert nums[1] % nums[0] at the end and it becomes [1,1,0], then delete elements at indices 1 and 0. nums becomes [0]. The length of nums cannot be reduced further. Hence, the answer is 1. It can be shown that 1 is the minimum achievable length. ``` **Example 2:** ``` **Input:** nums = [5,5,5,10,5] **Output:** 2 **Explanation:** One way to minimize the length of the array is as follows: Operation 1: Select indices 0 and 3, insert nums[0] % nums[3] at the end and it becomes [5,5,5,10,5,5], then delete elements at indices 0 and 3. nums becomes [5,5,5,5]. Operation 2: Select indices 2 and 3, insert nums[2] % nums[3] at the end and it becomes [5,5,5,5,0], then delete elements at indices 2 and 3. nums becomes [5,5,0]. Operation 3: Select indices 0 and 1, insert nums[0] % nums[1] at the end and it becomes [5,5,0,0], then delete elements at indices 0 and 1. nums becomes [0,0]. The length of nums cannot be reduced further. Hence, the answer is 2. It can be shown that 2 is the minimum achievable length. ``` **Example 3:** ``` **Input:** nums = [2,3,4] **Output:** 1 **Explanation:** One way to minimize the length of the array is as follows: Operation 1: Select indices 1 and 2, insert nums[1] % nums[2] at the end and it becomes [2,3,4,3], then delete elements at indices 1 and 2. nums becomes [2,3]. Operation 2: Select indices 1 and 0, insert nums[1] % nums[0] at the end and it becomes [2,3,1], then delete elements at indices 1 and 0. nums becomes [1]. The length of nums cannot be reduced further. Hence, the answer is 1. It can be shown that 1 is the minimum achievable length. ``` **Constraints:** `1 <= nums.length <= 105` `1 <= nums[i] <= 109`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [1,4,3,1]", + "output": "1 " + }, + { + "label": "Example 2", + "input": "nums = [5,5,5,10,5]", + "output": "2 " + }, + { + "label": "Example 3", + "input": "nums = [2,3,4]", + "output": "1 " + } + ], + "private_test_cases": [ + { + "input": [ + 7, + 5, + 3, + 2, + 4 + ], + "output": 1 + }, + { + "input": [ + 65, + 7, + 5, + 67, + 75, + 39, + 34, + 13, + 48, + 65 + ], + "output": 1 + }, + { + "input": [ + 895, + 535, + 66, + 348, + 458, + 823, + 698, + 558, + 55, + 155, + 340, + 252, + 115, + 433, + 59, + 14, + 610, + 890, + 533, + 305, + 356, + 823, + 380, + 965, + 881, + 252, + 489, + 852, + 562, + 171, + 990, + 976, + 28, + 82, + 820, + 192, + 275, + 618, + 79, + 752, + 504, + 720, + 519, + 115, + 507, + 255, + 298, + 86, + 108, + 417, + 437, + 935, + 371, + 704, + 962, + 333, + 487, + 478, + 640, + 203, + 94, + 709, + 269, + 173, + 375, + 538, + 488, + 101, + 986, + 899, + 58, + 543, + 167, + 701, + 212, + 226, + 671, + 562, + 728, + 969, + 733, + 647, + 825, + 117, + 968, + 364, + 434, + 161, + 311, + 623, + 615, + 717, + 482, + 945, + 313, + 134, + 520, + 390, + 499, + 756, + 614, + 454, + 987, + 129, + 155, + 523, + 544, + 935, + 130, + 885, + 89, + 338, + 423, + 950, + 933, + 949, + 40, + 644, + 769, + 272, + 236, + 873, + 337, + 211, + 349, + 930, + 253, + 499, + 788, + 843, + 632, + 330, + 257, + 333, + 47, + 843, + 914, + 490, + 939, + 721, + 733, + 44, + 898, + 192, + 528, + 306, + 260, + 358, + 95, + 424, + 804, + 496, + 973, + 322, + 391, + 664, + 257, + 147, + 684, + 389, + 803, + 326, + 15, + 697, + 140, + 105, + 929, + 316, + 310, + 56, + 726, + 583, + 954, + 388, + 452, + 416, + 446, + 112, + 200, + 134, + 495, + 232, + 361, + 915, + 538, + 199, + 853, + 771, + 562, + 868, + 342, + 936, + 276, + 770, + 120, + 108, + 28, + 474, + 903, + 772, + 962, + 728, + 340, + 928, + 671, + 889, + 13, + 263, + 589, + 916, + 476, + 501, + 310, + 501, + 879, + 538, + 806, + 864, + 769, + 409, + 838, + 198, + 81, + 755, + 166, + 476, + 824, + 461, + 182, + 231, + 171, + 669, + 643, + 689, + 513, + 745, + 357, + 217, + 784, + 583, + 195, + 810, + 42, + 133, + 645, + 28, + 334, + 245, + 155, + 27, + 352, + 139, + 982, + 943, + 211, + 217, + 775, + 182, + 924, + 443, + 984, + 265, + 96, + 24, + 668, + 987, + 77, + 825, + 685, + 705, + 209, + 132, + 20, + 891, + 50, + 498, + 383, + 473, + 917, + 151, + 177, + 451, + 692, + 725, + 393, + 666, + 771, + 215, + 862, + 451, + 11, + 998, + 158, + 714, + 467, + 918, + 771, + 340, + 359, + 838, + 889, + 253, + 534, + 263, + 38, + 323, + 717, + 331, + 125, + 182, + 656, + 155, + 668, + 505, + 91, + 341, + 157, + 393, + 234, + 343, + 296, + 970, + 608, + 521, + 111, + 310, + 606, + 908, + 208, + 660, + 477, + 596, + 202, + 821, + 250, + 469, + 593, + 753, + 320, + 806, + 503, + 892, + 471, + 148, + 253, + 146, + 634, + 165, + 555, + 103, + 268, + 570, + 531, + 1000, + 158, + 846, + 856, + 852, + 596, + 710, + 922, + 202, + 313, + 24, + 276, + 493, + 617, + 337, + 631, + 867, + 66, + 131, + 254, + 262, + 543, + 676, + 846, + 50, + 499, + 504, + 502, + 536, + 110, + 500, + 11, + 428, + 810, + 237, + 702, + 926, + 143, + 5, + 547, + 625, + 599, + 681, + 960, + 627, + 282, + 273, + 835, + 932, + 538, + 691, + 366, + 336, + 849, + 505, + 399, + 693, + 480, + 652, + 303, + 847, + 104, + 662, + 96, + 696, + 986, + 977, + 831, + 164, + 57, + 236, + 471, + 542, + 629, + 519, + 351, + 316, + 228, + 380, + 418, + 375, + 973, + 707, + 970, + 168, + 467, + 262, + 737, + 681, + 723, + 514, + 403, + 298, + 265, + 155, + 794, + 220, + 809, + 737, + 457, + 990, + 420, + 917, + 488, + 685, + 302, + 222, + 993, + 792, + 26, + 800, + 577, + 840, + 258, + 213, + 406, + 21, + 32, + 101, + 844, + 798, + 916, + 400, + 130, + 710, + 700, + 302, + 171, + 379, + 595, + 118, + 237, + 21, + 734, + 27, + 980, + 753, + 688, + 191, + 476, + 234, + 128, + 718, + 317, + 465, + 755, + 751, + 159, + 869, + 202, + 489, + 78, + 867, + 303, + 775, + 886, + 711, + 204, + 716, + 138, + 615, + 819, + 478, + 622, + 801, + 474, + 632, + 681, + 319, + 183, + 212, + 725, + 65, + 948, + 563, + 556, + 232, + 445, + 993, + 126, + 464, + 317, + 450, + 160, + 699, + 560, + 280, + 688, + 178, + 303, + 166, + 358, + 94, + 751, + 891, + 261, + 805, + 648, + 552, + 428, + 826, + 745, + 387, + 957, + 411, + 776, + 40, + 398, + 430, + 835, + 195, + 14, + 988, + 630, + 204, + 789, + 590, + 809, + 978, + 322, + 975, + 436, + 983, + 356, + 895, + 725, + 911, + 107, + 724, + 226, + 943, + 788, + 429, + 741, + 240, + 809, + 325, + 796, + 251, + 380, + 395, + 949, + 277, + 931, + 121, + 301, + 633, + 977, + 608, + 81, + 46, + 838, + 807, + 436, + 202, + 273, + 853, + 369, + 735, + 692, + 111, + 804, + 43, + 802, + 838, + 287, + 51, + 221, + 603, + 92, + 361, + 763, + 177, + 883, + 827, + 370, + 242, + 841, + 317, + 638, + 725, + 610, + 357, + 965, + 677, + 27, + 607, + 909, + 117, + 405, + 246, + 747, + 624, + 168, + 159, + 425, + 111, + 704, + 473, + 52, + 402, + 85, + 914, + 123, + 21, + 139, + 47, + 904, + 286, + 108, + 713, + 304, + 47, + 655, + 474, + 378, + 319, + 821, + 62, + 400, + 894, + 668, + 823, + 601, + 403, + 236, + 474, + 873, + 282, + 982, + 807, + 808, + 530, + 740, + 268, + 886, + 623, + 261, + 673, + 775, + 543, + 581, + 989, + 623, + 513, + 779, + 352, + 316, + 934, + 496, + 764, + 902, + 103, + 675, + 67, + 572, + 488, + 314, + 194, + 821, + 437, + 74, + 989, + 937, + 859, + 576, + 114, + 925, + 87, + 230, + 778, + 869, + 839, + 635, + 106, + 846, + 845, + 316, + 857, + 207, + 389, + 568, + 432, + 86, + 380, + 460, + 800, + 497, + 191, + 830, + 401, + 490, + 816, + 967, + 595, + 397, + 557, + 943, + 858, + 581 + ], + "output": 1 + }, + { + "input": [ + 3721, + 332, + 7193, + 3646, + 7062, + 4704, + 6262, + 4369, + 8052, + 3640, + 8655, + 9043, + 7741, + 2130, + 6761, + 2336, + 8367, + 3725, + 8659, + 9759, + 7038, + 9190, + 2703, + 2665, + 9834, + 2287, + 4351, + 4548, + 7896, + 4637, + 1349, + 4258, + 3135, + 8522, + 5425, + 5142, + 7611, + 2352, + 253, + 1118, + 6364, + 3002, + 7801, + 9328, + 9234, + 3367, + 5276, + 7319, + 8683, + 3484, + 3970, + 6919, + 2176, + 2471, + 364, + 1819, + 4556, + 3441, + 4405, + 5333, + 9121, + 9598, + 7396, + 3891, + 3406, + 6566, + 3247, + 1505, + 6232, + 6880, + 51, + 5129, + 223, + 1246, + 9562, + 3930, + 1017, + 2742, + 2720, + 4777, + 2904, + 9647, + 9935, + 5929, + 7279, + 5719, + 3017, + 3390, + 1813, + 6660, + 5491, + 1691, + 7873, + 5277, + 2819, + 8786, + 1767, + 5346, + 5858, + 3338, + 8626, + 2655, + 6228, + 8895, + 1675, + 1206, + 5951, + 3707, + 2932, + 7322, + 5885, + 3241, + 5449, + 8221, + 1581, + 4373, + 8269, + 5770, + 8894, + 8837, + 4469, + 5096, + 3382, + 6760, + 6343, + 5279, + 9948, + 2372, + 8375, + 2186, + 1755, + 2450, + 1478, + 9408, + 2390, + 3334, + 8800, + 1245, + 8366, + 9040, + 5554, + 6115, + 6953, + 7472, + 6612, + 1244, + 2363, + 5153, + 301, + 9310, + 7481, + 4678, + 432, + 115, + 5752, + 5208, + 2822, + 5789, + 7237, + 1747, + 9259, + 93, + 2411, + 1715, + 9117, + 8548, + 394, + 2942, + 534, + 2198, + 7050, + 1824, + 4490, + 8519, + 8164, + 464, + 8455, + 6350, + 295, + 2861, + 9809, + 3255, + 9852, + 1021, + 1473, + 7377, + 4613, + 4154, + 3717, + 5558, + 4647, + 1693, + 2714, + 4889, + 7559, + 5775, + 8978, + 3702, + 5053, + 1672, + 1938, + 7194, + 9886, + 9711, + 2970, + 6434, + 6504, + 191, + 5522, + 8708, + 1000, + 7974, + 1979, + 6675, + 5010, + 3977, + 8214, + 4879, + 8065, + 6687, + 9502, + 1105, + 6808, + 6555, + 9537, + 7782, + 3283, + 5950, + 7207, + 5616, + 933, + 514, + 2252, + 7454, + 5292, + 2966, + 8707, + 2708, + 2088, + 3167, + 5780, + 1747, + 7271, + 8556, + 2156, + 7239, + 2373, + 7927, + 3431, + 3570, + 1150, + 3465, + 7850, + 6456, + 1145, + 957, + 2814, + 5372, + 5526, + 309, + 8786, + 5734, + 3298, + 6424, + 7418, + 5994, + 2004, + 267, + 7733, + 5212, + 4763, + 1736, + 1815, + 8736, + 932, + 2902, + 8421, + 5918, + 6992, + 8636, + 9402, + 1567, + 3372, + 5128, + 6580, + 4384, + 7039, + 8428, + 5260, + 4923, + 6958, + 5491, + 5420, + 9382, + 2853, + 6080, + 5015, + 1897, + 7617, + 2234, + 3158, + 1411, + 1924, + 9699, + 9016, + 7707, + 6567, + 5850, + 5186, + 5709, + 1951, + 9878, + 7080, + 5069, + 9383, + 3971, + 3457, + 4332, + 3645, + 1801, + 1836, + 9526, + 3869, + 4335, + 420, + 5348, + 8939, + 5893, + 6172, + 6144, + 3072, + 1704, + 4080, + 3844, + 2178, + 7107, + 1623, + 4292, + 1472, + 377, + 3296, + 8048, + 3477, + 608, + 8251, + 1846, + 4063, + 7261, + 2319, + 6773, + 9877, + 5562, + 5058, + 1532, + 5628, + 9269, + 5996, + 1361, + 8730, + 8, + 66, + 6079, + 4460, + 3008, + 4334, + 2242, + 9717, + 5635, + 5921, + 1844, + 8586, + 499, + 4982, + 622, + 3498, + 7012, + 365, + 8242, + 2363, + 2586, + 6650, + 1514, + 5177, + 8146, + 9185, + 6838, + 126, + 760, + 9382, + 6060, + 6819, + 7205, + 8866, + 2591, + 286, + 6712, + 1940, + 8353, + 807, + 5656, + 7107, + 1872, + 5451, + 9888, + 6050, + 3907, + 909, + 8982, + 5615, + 9370, + 6478, + 2629, + 754, + 4789, + 618, + 6971, + 7444, + 2599, + 3186, + 1248, + 8325, + 5565, + 9178, + 1336, + 3693, + 8517, + 2727, + 1307, + 8797, + 6481, + 5743, + 5184, + 630, + 5311, + 4660, + 8900, + 4322, + 1930, + 511, + 2291, + 9566, + 8741, + 5014, + 1417, + 1004, + 5344, + 1118, + 9417, + 825, + 5392, + 6059, + 4736, + 5726, + 4647, + 9453, + 202, + 105, + 5259, + 2146, + 8072, + 4694, + 7243, + 8684, + 1649, + 6915, + 5043, + 8233, + 7728, + 3118, + 3439, + 4844, + 5415, + 2809, + 8213, + 4424, + 7937, + 6095, + 3637, + 6873, + 6479, + 8539, + 5845, + 3051, + 617, + 3049, + 8682, + 6335, + 3730, + 3129, + 4138, + 5471, + 3919, + 2510, + 3096, + 4506, + 8595, + 3513, + 8470, + 6369, + 9767, + 4598, + 7650, + 9641, + 3410, + 5166, + 8832, + 9871, + 9705, + 9675, + 3326, + 3087, + 1587, + 6812, + 7939, + 5261, + 4668, + 8735, + 4866, + 3743, + 6946, + 2818, + 5167, + 485, + 8669, + 146, + 9370, + 5011, + 4708, + 7570, + 4736, + 1314, + 6901, + 3969, + 6798, + 9984, + 6882, + 1793, + 5047, + 8077, + 7969, + 7228, + 2764, + 9659, + 667, + 7663, + 3722, + 489, + 7990, + 1659, + 4181, + 7494, + 7328, + 7043, + 2686, + 750, + 1984, + 3029, + 8772, + 5824, + 6213, + 4841, + 4515, + 974, + 1629, + 468, + 6518, + 1133, + 493, + 5945, + 6211, + 2513, + 723, + 902, + 766, + 8731, + 1987, + 8304, + 787, + 923, + 9677, + 2607, + 2293, + 2282, + 2596, + 1689, + 6330, + 4214, + 9232, + 5042, + 5525, + 2814, + 7519, + 5598, + 8311, + 8786, + 6205, + 9382, + 194, + 460, + 2080, + 9092, + 9637, + 5700, + 7583, + 3341, + 1437, + 3303, + 8197, + 3853, + 3693, + 7972, + 3146, + 6784, + 9291, + 6781, + 4443, + 3731, + 251, + 4630, + 8826, + 3969, + 6734, + 9650, + 9523, + 341, + 8727, + 8115, + 9376, + 1069, + 8542, + 163, + 5898, + 4403, + 4569, + 5810, + 7859, + 5892, + 8359, + 1049, + 728, + 6797, + 2899, + 3453, + 9771, + 2675, + 236, + 96, + 6938, + 476, + 1531, + 9529, + 8649, + 1206, + 5497, + 1259, + 1151, + 6588, + 2319, + 124, + 1680, + 6883, + 1954, + 5494, + 4528, + 5748, + 6323, + 5008, + 6390, + 5290, + 1510, + 1717, + 1253, + 1232, + 5236, + 1213, + 8187, + 336, + 6543, + 7564, + 2179, + 2515, + 4802, + 6943, + 1119, + 1288, + 7695, + 5469, + 1118, + 3013, + 8453, + 8659, + 3887, + 6094, + 9437, + 2841, + 7975, + 9693, + 6032, + 2456, + 8563, + 6777, + 7878, + 2520, + 8619, + 8141, + 9689, + 5346, + 7104, + 6452, + 569, + 1359, + 8133, + 8374, + 9874, + 262, + 3001, + 7337, + 2445, + 3975, + 6833, + 6684, + 3316, + 4359, + 2612, + 5668, + 2961, + 3731, + 9916, + 273, + 7389, + 1187, + 7273, + 5754, + 4770, + 5738, + 395, + 8794, + 2276, + 9944, + 2270, + 676, + 4132, + 9022, + 8505, + 5154, + 9033, + 8402, + 5814, + 9732, + 8794, + 5647, + 8243, + 9204, + 2965, + 6294, + 9588, + 2398, + 8154, + 4278, + 6886, + 2704, + 6124, + 6207, + 8773, + 3867, + 6317, + 4934, + 5202, + 1734, + 8007, + 3011, + 4321, + 2631, + 6594, + 2139, + 2461, + 6001, + 9897, + 4999, + 1542, + 7945, + 8305, + 2752, + 6584, + 4169, + 9190, + 5899, + 3086, + 7877, + 9164, + 1287, + 5016, + 1750, + 437, + 1787, + 1429, + 1420, + 2075, + 3000, + 3348, + 4818, + 6608, + 4769, + 5358, + 3544, + 6196, + 1064, + 5019, + 9432, + 1110, + 9171, + 6244, + 4872, + 2861, + 2324, + 4377, + 9491, + 8306, + 4394, + 7267, + 1845, + 8243, + 6938, + 4226, + 2359, + 8881, + 1702, + 9721, + 7838, + 5960, + 9778, + 9590, + 5613, + 8523, + 8062, + 9206, + 3977, + 8718, + 6825, + 3625, + 7399, + 5480, + 5803, + 763, + 7941, + 4721, + 252, + 7553, + 8254, + 1993, + 3895, + 6747, + 7615, + 8965, + 2657, + 7608, + 930, + 3174, + 5835, + 9638, + 7756, + 9776, + 976, + 2373, + 8791, + 8781, + 8386, + 6635, + 6356, + 6373, + 4876, + 5659, + 7156, + 1092, + 109, + 6155, + 9983, + 285, + 8930, + 6971, + 125, + 2225, + 3290, + 7793, + 923, + 150, + 1973, + 7022, + 9586, + 3811, + 719, + 2411, + 4354, + 3175, + 6119, + 741, + 4896, + 4861, + 393, + 5286, + 1375, + 5437, + 4308, + 6448, + 3951, + 2968, + 1104, + 9060, + 4180, + 1490, + 9561, + 8658, + 3197, + 6082, + 2315, + 6076, + 9157, + 8856, + 2488, + 9746, + 4206, + 6865, + 9401, + 6188, + 9111, + 9973, + 9653, + 2706, + 3958, + 2378, + 7155, + 260, + 9037, + 2918, + 8491, + 393, + 8107, + 4767, + 5090, + 8214, + 1082, + 894, + 5579, + 457, + 1464, + 1552, + 5568, + 6732, + 7003, + 5075, + 482, + 9829, + 1350, + 4768, + 3028, + 1171, + 7996, + 5826, + 8876, + 9053, + 3168, + 8400, + 2056, + 2477, + 9011, + 1540, + 19, + 14, + 5453, + 2815, + 4677, + 9865, + 7732, + 9566, + 302, + 5336, + 3328, + 1358, + 4149, + 9716, + 3951, + 7201, + 4159, + 9985, + 6329, + 2825, + 9731, + 3936, + 8950, + 524, + 6386, + 3385, + 282, + 3358, + 4444, + 5189, + 2386, + 8722, + 5135, + 5045, + 7141, + 1090, + 7215, + 6310, + 4567, + 4418, + 6466, + 5915, + 193, + 3929, + 9539, + 342, + 4469, + 3052, + 6143, + 6283, + 505, + 9588, + 4842, + 7092, + 2004, + 2152, + 7113, + 2640, + 6931, + 4863, + 9392, + 8803, + 9973, + 1468, + 4850, + 3503, + 1658, + 6624, + 5108, + 4022, + 197, + 8813, + 554, + 1478, + 4805, + 3075, + 306, + 2252, + 8329, + 5763, + 3884, + 8741, + 8103, + 5769, + 2892, + 9377, + 4536, + 9897, + 6077, + 7054, + 8102, + 2608, + 4140, + 1024, + 7834, + 1872, + 5052, + 1863, + 1828, + 5404, + 6285, + 9544, + 9888, + 3912, + 6200, + 9738, + 2660, + 901, + 1819, + 5303, + 2996, + 9001, + 6512, + 5677, + 9543, + 6710, + 6412, + 108, + 883, + 4513, + 7924, + 6217, + 9756, + 9326, + 1468, + 6029, + 7301, + 2249, + 5735, + 5326, + 8580, + 8977, + 6915, + 6958, + 8916, + 7886, + 519, + 8575, + 9038, + 6532, + 7248, + 2084, + 6304, + 3377, + 1195, + 8028, + 5414, + 7894, + 6078, + 5396, + 1935, + 5176, + 6877, + 5086, + 6993, + 2384, + 1604, + 8876, + 8735, + 6111, + 520, + 982, + 2135, + 1152, + 8781, + 5708, + 340, + 2932, + 8997, + 7344, + 247, + 7230, + 6726, + 1282, + 944, + 9779, + 8296, + 2891, + 5099, + 9886, + 7444, + 6524, + 4252, + 6554, + 4921, + 6166, + 9553, + 1152, + 9222, + 4524, + 6269, + 6464, + 8865, + 7901, + 6576, + 9052, + 6389, + 8946, + 1593, + 141, + 5613, + 7925, + 9559, + 9332, + 8988, + 8768, + 7381, + 3521, + 9786, + 339, + 9916, + 3333, + 4264, + 3718, + 4753, + 4055, + 5044, + 7316, + 9595, + 6589, + 8475, + 8728, + 7716, + 6854, + 2539, + 8709, + 3524, + 1977, + 7492, + 2620, + 1459, + 9093, + 338, + 762, + 9741, + 3949, + 2358, + 4190, + 7149, + 9571, + 5277, + 9835, + 8973, + 3676, + 277, + 6973, + 2911, + 6544, + 837, + 862, + 7298, + 5643, + 381, + 4033, + 9329, + 2996, + 8166, + 9608, + 9058, + 4693, + 6674, + 2448, + 2650, + 4745, + 1501, + 5370, + 4655, + 5971, + 9290, + 8580, + 8563, + 9010, + 3892, + 298, + 574, + 4432, + 2284, + 6415, + 9843, + 5561, + 6200, + 1164, + 9929, + 8966, + 1970, + 6663, + 7675, + 7986, + 6792, + 9175, + 9495, + 7993, + 3750, + 4801, + 7616, + 1269, + 6816, + 6299, + 7660, + 5958, + 7223, + 9542, + 5790, + 6152, + 9240, + 2071, + 5006, + 927, + 7770, + 9347, + 4413, + 7411, + 5426, + 8080, + 7729, + 2998, + 75, + 2917, + 1780, + 1763, + 698, + 10000, + 8732, + 4983, + 5151, + 9444, + 2178, + 8840, + 6902, + 1538, + 6951, + 450, + 4752, + 7337, + 5671, + 7525, + 5031, + 3191, + 6999, + 125, + 7105, + 872, + 2519, + 4698, + 9439, + 4570, + 1271, + 6723, + 1525, + 2480, + 3910, + 1331, + 625, + 600, + 4434, + 356, + 7389, + 870, + 3889, + 3350, + 4182, + 7067, + 3409, + 3081, + 2210, + 1603, + 4144, + 3760, + 447, + 8299, + 6251, + 9903, + 6004, + 10, + 1586, + 3682, + 3794, + 9485, + 1475, + 5308, + 7112, + 967, + 2182, + 8668, + 8671, + 810, + 5701, + 1731, + 9667, + 846, + 7312, + 3233, + 2214, + 6784, + 861, + 8418, + 1684, + 3359, + 6608, + 8465, + 5989, + 1699, + 2183, + 2605, + 3324, + 2733, + 3690, + 4805, + 203, + 4051, + 1303, + 9837, + 4548, + 7659, + 8080, + 9333, + 853, + 829, + 9318, + 5018, + 2514, + 2322, + 2775, + 5372, + 2897, + 2840, + 2576, + 9722, + 6676, + 5899, + 6679, + 5732, + 219, + 8009, + 5205, + 2908, + 4376, + 397, + 5137, + 7040, + 9309, + 3166, + 908, + 5192, + 6125, + 7310, + 6928, + 3898, + 4442, + 8332, + 9566, + 3915, + 6232, + 249, + 9090, + 3960, + 6598, + 3395, + 2831, + 6537, + 2306, + 1096, + 2987, + 4624, + 5285, + 8120, + 7589, + 3790, + 7118, + 4137, + 3590, + 5840, + 7992, + 9697, + 3978, + 7172, + 9008, + 6239, + 2145, + 7471, + 3456, + 4260, + 7774, + 153, + 1066, + 4669, + 4557, + 5417, + 6358, + 9328, + 8437, + 9411, + 580, + 4703, + 2569, + 7150, + 4298, + 3065, + 1020, + 6967, + 3675, + 7824, + 477, + 3183, + 7893, + 5729, + 3296, + 7217, + 612, + 4040, + 7470, + 4099, + 604, + 8404, + 9413, + 1134, + 640, + 4765, + 536, + 8798, + 3067, + 1802, + 4394, + 9446, + 5233, + 897, + 4650, + 5063, + 3699, + 251, + 4331, + 4976, + 4400, + 9903, + 1086, + 6596, + 788, + 6506, + 4738, + 6373, + 9371, + 3289, + 929, + 9111, + 3092, + 9186, + 5638, + 9107, + 3174, + 1823, + 9341, + 8930, + 500, + 6486, + 1525, + 557, + 137, + 4594, + 8385, + 4157, + 3401, + 754, + 7404, + 1599, + 946, + 1916, + 1587, + 5803, + 208, + 1079, + 7575, + 7290, + 1434, + 7826, + 855, + 7741, + 304, + 5227, + 1018, + 6616, + 7747, + 2689, + 5008, + 2422, + 2496, + 3470, + 1565, + 7100, + 2811, + 3668, + 7890, + 6808, + 5787, + 9289, + 9815, + 8587, + 1645, + 7115, + 9435, + 427, + 4347, + 4884, + 9136, + 9318, + 6393, + 8758, + 3247, + 3960, + 982, + 1383, + 5755, + 3727, + 1, + 3331, + 3088, + 5273, + 4428, + 627, + 9132, + 9563, + 1078, + 9478, + 9902, + 5764, + 8683, + 1085, + 2758, + 8396, + 5663, + 2154, + 9123, + 7296, + 8583, + 1959, + 2127, + 2004, + 3921, + 4319, + 252, + 5500, + 2472, + 4021, + 8850, + 4299, + 6168, + 2731, + 1304, + 8284, + 6351, + 2712, + 6632, + 2599, + 466, + 1003, + 8559, + 143, + 3528, + 386, + 661, + 5498, + 3392, + 2419, + 4420, + 5253, + 3667, + 6928, + 2360, + 4206, + 7384, + 771, + 4143, + 3589, + 2240, + 5873, + 5017, + 7792, + 7683, + 6881, + 2330, + 4580, + 7802, + 912, + 8133, + 7915, + 8036, + 3316, + 323, + 5553, + 1529, + 9855, + 3980, + 3597, + 2469, + 4639, + 8585, + 3713, + 3770, + 8918, + 7185, + 1646, + 7889, + 3324, + 7526, + 4476, + 5879, + 6928, + 1243, + 1478, + 111, + 5164, + 1157, + 9757, + 6978, + 8091, + 454, + 3352, + 4773, + 4590, + 5616, + 8882, + 5794, + 5337, + 9573, + 6223, + 8857, + 4682, + 5390, + 1701, + 1684, + 8675, + 1831, + 371, + 7233, + 9294, + 6008, + 6798, + 6359, + 6540, + 5582, + 2497, + 8265, + 5191, + 6903, + 8513, + 5822, + 3598, + 2119, + 5222, + 6948, + 9055, + 394, + 2766, + 488, + 3824, + 3803, + 2690, + 6420, + 4900, + 7112, + 61, + 5532, + 2799, + 793, + 9910, + 5242, + 5379, + 120, + 4262, + 8476, + 8583, + 3391, + 1481, + 6846, + 2132, + 7145, + 410, + 5865, + 3867, + 5256, + 5980, + 2779, + 5859, + 9212, + 8305, + 6303, + 1584, + 6215, + 1921, + 3334, + 1410, + 3571, + 3973, + 2625, + 9722, + 8825, + 6395, + 6707, + 2228, + 129, + 3661, + 7828, + 6358, + 4241, + 138, + 7928, + 6052, + 5748, + 3227, + 8258, + 9879, + 129, + 50, + 2904, + 9322, + 2180, + 8871, + 6130, + 7418, + 302, + 1013, + 4598, + 7300, + 5583, + 9619, + 7828, + 8601, + 4270, + 7749, + 2870, + 6989, + 470, + 1638, + 4364, + 1138, + 4054, + 6437, + 5272, + 1478, + 1918, + 8037, + 9626, + 7930, + 3911, + 5175, + 4375, + 956, + 3377, + 4799, + 6499, + 6618, + 9463, + 2053, + 5148, + 9576, + 586, + 5658, + 866, + 8961, + 9101, + 3081, + 9750, + 1696, + 7282, + 458, + 1257, + 1662, + 8897, + 6026, + 6612, + 3754, + 4875, + 8067, + 8615, + 9788, + 1268, + 340, + 7023, + 464, + 1294, + 6797, + 4727, + 234, + 5419, + 9082, + 5148, + 4703, + 8746, + 202, + 7567, + 7254, + 2636, + 2688, + 3356, + 6189, + 9681, + 6326, + 1556, + 6099, + 5250, + 2288, + 8370, + 6661, + 5858, + 2637, + 6267, + 8909, + 9215, + 8779, + 7811, + 4877, + 1707, + 2448, + 1807, + 5253, + 3154, + 112, + 7732, + 5260, + 682, + 5468, + 2701, + 2057, + 3990, + 2736, + 8600, + 2051, + 4385, + 7381, + 322, + 458, + 7543, + 2874, + 9258, + 9714, + 3521, + 5630, + 2772, + 8391, + 9408, + 1442, + 8118, + 9687, + 7660, + 9034, + 341, + 5762, + 2999, + 2304, + 9307, + 6002, + 2522, + 7315, + 7180, + 9665, + 1884, + 958, + 6800, + 7069, + 1319, + 9129, + 5381, + 9697, + 6921, + 2582, + 1676, + 7914, + 8195, + 566, + 521, + 2116, + 6170, + 7809, + 490, + 6706, + 1188, + 7364, + 3247, + 6804, + 1916, + 1953, + 8733, + 4514, + 1881, + 9707, + 9646, + 4352, + 1155, + 3517, + 8850, + 185, + 4711, + 7695, + 4149, + 5301, + 5534, + 8126, + 6360, + 8742, + 5470, + 1825, + 9918, + 9474, + 6000, + 8089, + 1355, + 703, + 5103, + 1990, + 8645, + 2550, + 189, + 3176, + 2399, + 9063, + 3169, + 5427, + 2384, + 6262, + 8250, + 5836, + 9967, + 7995, + 1649, + 4535, + 7935, + 1177, + 5286, + 7953, + 9724, + 9825, + 3551, + 4508, + 4809, + 7929, + 6303, + 5140, + 5799, + 629, + 5555, + 4695, + 2755, + 8995, + 7564, + 3552, + 15, + 4328, + 9622, + 4632, + 5724, + 7013, + 2531, + 1923, + 8124, + 6599, + 8368, + 6911, + 4337, + 4139, + 8649, + 7713, + 5759, + 5388, + 1180, + 3176, + 8501, + 8967, + 9976, + 7837, + 9493, + 4086, + 3320, + 6476, + 4387, + 3405, + 7894, + 4042, + 1554, + 4113, + 65, + 9729, + 8176, + 8375, + 1995, + 7424, + 3501, + 6725, + 8342, + 6895, + 4961, + 927, + 8701, + 191, + 5831, + 6931, + 7083, + 7096, + 2145, + 3570, + 5577, + 871, + 1528, + 244, + 6471, + 176, + 8435, + 7059, + 4403, + 8856, + 2764, + 579, + 1388, + 914, + 8917, + 1393, + 9529, + 9926, + 8043, + 7298, + 9687, + 5436, + 4667, + 8135, + 4862, + 8875, + 6046, + 8435, + 571, + 2963, + 565, + 3812, + 6529, + 1703, + 5003, + 534, + 7944, + 9259, + 496, + 4969, + 5249, + 5595, + 5359, + 2977, + 3516, + 207, + 5627, + 4143, + 5392, + 8882, + 1777, + 8348, + 6142, + 1523, + 1120, + 5819, + 69, + 3032, + 2422, + 3979, + 1842, + 9344, + 778, + 4268, + 7845, + 4280, + 2946, + 8941, + 6754, + 6557, + 8961, + 922, + 8467, + 2235, + 1304, + 5556, + 4379, + 6895, + 8320, + 5217, + 990, + 6016, + 7337, + 5286, + 4935, + 5542, + 7254, + 6464, + 7681, + 6999, + 2537, + 1451, + 4282, + 3035, + 5273, + 3967, + 8408, + 5139, + 8346, + 8043, + 2983, + 7484, + 8533, + 4805, + 7525, + 8488, + 9417, + 1167, + 3798, + 4939, + 7410, + 1541, + 2966, + 7258, + 129, + 5014, + 7043, + 7840, + 8139, + 6036, + 6365, + 8424, + 829, + 4841, + 4714, + 5319, + 788, + 8301, + 1113, + 103, + 6596, + 4419, + 4052, + 8545, + 6839, + 7020, + 6766, + 9980, + 5979, + 830, + 8428, + 1619, + 7968, + 3483, + 3103, + 9190, + 4978, + 9351, + 579, + 1652, + 6434, + 7781, + 1177, + 7105, + 3978, + 9763, + 670, + 6458, + 3381, + 8100, + 2996, + 2577, + 9350, + 4396, + 3027, + 1392, + 5534, + 3420, + 9200, + 4341, + 9051, + 4456, + 3648, + 9639, + 6415, + 7202, + 494, + 5079, + 1198, + 5491, + 9625, + 6680, + 1052, + 1665, + 5750, + 4694, + 388, + 6822, + 5751, + 1757, + 9133, + 3684, + 4055, + 2295, + 5464, + 1654, + 2219, + 2433, + 3800, + 3259, + 7862, + 5401, + 2201, + 9681, + 2742, + 4274, + 3933, + 352, + 5944, + 6303, + 4062, + 6558, + 6860, + 4525, + 9947, + 937, + 1635, + 768, + 8909, + 446, + 4457, + 8170, + 7048, + 5402, + 990, + 2303, + 6793, + 1832, + 3814, + 8663, + 5681, + 7377, + 9541, + 7831, + 2247, + 9580, + 6190, + 9703, + 3107, + 5020, + 6437, + 6421, + 4330, + 6449, + 1272, + 9807, + 8809, + 6494, + 2395, + 825, + 4164, + 3680, + 1488, + 1275, + 3286, + 6288, + 4435, + 2347, + 8339, + 9795, + 3288, + 7776, + 4535, + 5434, + 2242, + 4022, + 6199, + 8953, + 5618, + 6640, + 3376, + 7643, + 3696, + 1829, + 198, + 9387, + 3508, + 6657, + 8477, + 5807, + 6870, + 3692, + 1436, + 8683, + 3584, + 9458, + 8559, + 5876, + 5250, + 2700, + 6841, + 6676, + 3022, + 1650, + 9241, + 880, + 1835, + 1147, + 7019, + 9467, + 9186, + 3857, + 3693, + 5005, + 8845, + 4840, + 4095, + 2781, + 4294, + 2420, + 8609, + 9249, + 1770, + 7628, + 2156, + 7620, + 399, + 7706, + 5142, + 1997, + 4931, + 5170, + 1686, + 2166, + 7092, + 6707, + 3381, + 4836, + 197, + 736, + 9779, + 2337, + 9762, + 3246, + 2383, + 4502, + 1762, + 6046, + 4712, + 5863, + 9649, + 6446, + 9436, + 3484, + 5052, + 1770, + 3855, + 3351, + 3324, + 9434, + 8037, + 3149, + 6489, + 8412, + 3283, + 7276, + 4497, + 2984, + 579, + 2266, + 285, + 1041, + 1767, + 8507, + 1304, + 1140, + 5624, + 1034, + 2632, + 137, + 2808, + 2223, + 7278, + 8231, + 4516, + 8899, + 5347, + 8502, + 7940, + 62, + 1751, + 2745, + 4204, + 9208, + 9451, + 2602, + 2645, + 3479, + 2828, + 6855, + 6549, + 8956, + 5040, + 3966, + 4320, + 4280, + 1789, + 2496, + 5032, + 1961, + 4373, + 2740, + 3735, + 3737, + 5246, + 1990, + 3055, + 6526, + 751, + 5607, + 4828, + 1174, + 3659, + 7803, + 3441, + 8630, + 4815, + 4143, + 8314, + 9910, + 7735, + 3860, + 8387, + 9284, + 6411, + 9329, + 8245, + 2369, + 337, + 201, + 9963, + 1035, + 6652, + 7391, + 2407, + 5219, + 8955, + 4128, + 4582, + 1884, + 6168, + 1039, + 1607, + 8190, + 7034, + 157, + 2478, + 8209, + 9833, + 2564, + 2350, + 6623, + 8298, + 7611, + 3268, + 1133, + 4626, + 3695, + 7513, + 8088, + 7253, + 8831, + 7840, + 2531, + 8919, + 7648, + 4743, + 6222, + 7618, + 244, + 3170, + 415, + 4288, + 1589, + 4612, + 3091, + 6536, + 7837, + 5485, + 1263, + 3652, + 6098, + 1633, + 9762, + 9080, + 5131, + 9370, + 2568, + 3010, + 9957, + 6586, + 6432, + 6599, + 6640, + 588, + 4034, + 2843, + 9051, + 8990, + 5005, + 1919, + 2414, + 8429, + 6282, + 3406, + 7982, + 2353, + 3113, + 2439, + 9382, + 6599, + 1437, + 772, + 1786, + 4115, + 5820, + 1557, + 6816, + 1818, + 109, + 349, + 8609, + 6571, + 3438, + 5873, + 5681, + 5019, + 4990, + 6488, + 456, + 7038, + 9514, + 3862, + 5254, + 1892, + 4896, + 9928, + 7569, + 5624, + 2657, + 2387, + 3389, + 2034, + 2929, + 5136, + 9569, + 3090, + 8396, + 5507, + 627, + 8907, + 6984, + 2050, + 9364, + 6902, + 4374, + 7223, + 535, + 4810, + 2075, + 7979, + 6943, + 4144, + 6648, + 4776, + 2763, + 1486, + 3139, + 4336, + 7303, + 3611, + 9852, + 8055, + 929, + 9651, + 8500, + 1995, + 4107, + 5020, + 5622, + 2588, + 7835, + 1635, + 7503, + 6212, + 9025, + 8034, + 8055, + 8223, + 1098, + 6249, + 7734, + 1384, + 1132, + 2072, + 6766, + 7017, + 5351, + 7809, + 6386, + 8441, + 2807, + 758, + 1456, + 6100, + 9417, + 322, + 2171, + 2654, + 4131, + 4332, + 3843, + 172, + 4271, + 4013, + 3909, + 9953, + 3129, + 6288, + 7751, + 5970, + 7508, + 9357, + 5412, + 6220, + 6113, + 4587, + 2236, + 6270, + 3846, + 8480, + 7592, + 8319, + 9776, + 8546, + 7861, + 9790, + 571, + 327, + 8572, + 1028, + 9217, + 2119, + 4933, + 1991, + 1980, + 9802, + 8485, + 1673, + 4833, + 1320, + 2180, + 2781, + 7392, + 100, + 4912, + 2428, + 2737, + 5983, + 906, + 5087, + 5147, + 4529, + 5800, + 3426, + 6369, + 4157, + 3513, + 8904, + 7040, + 2687, + 7817, + 2672, + 7959, + 9784, + 8776, + 9746, + 1630, + 24, + 4481, + 8562, + 4745, + 525, + 1109, + 7836, + 2619, + 6287, + 7914, + 4193, + 6548, + 2223, + 1612, + 1183, + 7118, + 8595, + 1988, + 8204, + 2577, + 4726, + 5712, + 4530, + 5917, + 655, + 2427, + 4476, + 5460, + 4665, + 3857, + 2002, + 372, + 1739, + 3925, + 7494, + 176, + 3234, + 7109, + 5158, + 5649, + 2918, + 7284, + 3372, + 612, + 9741, + 2367, + 6174, + 6520, + 7307, + 1821, + 207, + 6380, + 8813, + 4521, + 6650, + 2995, + 2398, + 879, + 5537, + 2414, + 5397, + 1925, + 5960, + 6391, + 1266, + 4690, + 2038, + 413, + 2211, + 7855, + 4060, + 3610, + 552, + 1327, + 745, + 4142, + 9294, + 5453, + 9609, + 4687, + 842, + 8310, + 4599, + 9887, + 9463, + 9486, + 2336, + 3847, + 5232, + 7161, + 8686, + 8878, + 4278, + 9348, + 5786, + 7057, + 6710, + 7471, + 2509, + 7711, + 3855, + 9349, + 9522, + 8437, + 9483, + 4068, + 6706, + 9617, + 4491, + 7980, + 7116, + 2867, + 9850, + 3250, + 5263, + 2864, + 6716, + 1987, + 6095, + 6550, + 7356, + 7423, + 6080, + 216, + 9092, + 1505, + 8720, + 8107, + 4915, + 5002, + 9762, + 5880, + 4282, + 8384, + 7616, + 8293, + 3797, + 8371, + 154, + 6200, + 797, + 3624, + 4590, + 809, + 9953, + 8272, + 7207, + 2293, + 8174, + 6864, + 9202, + 2218, + 7927, + 8106, + 1312, + 1212, + 8267, + 6505, + 8845, + 8232, + 8025, + 1357, + 6916, + 8704, + 4185, + 8231, + 1033, + 5574, + 5455, + 5413, + 4478, + 5345, + 3764, + 9926, + 1897, + 7538, + 9552, + 8462, + 778, + 9155, + 4176, + 4591, + 9396, + 642, + 8745, + 5196, + 6274, + 2441, + 1335, + 3947, + 7922, + 3841, + 7357, + 4595, + 2518, + 9767, + 3546, + 4930, + 3271, + 2107, + 4021, + 8704, + 8177, + 9012, + 6659, + 4368, + 8220, + 258, + 1094, + 559, + 9629, + 1970, + 3747, + 7346, + 5391, + 4376, + 2910, + 1560, + 3889, + 3682, + 9436, + 1413, + 144, + 8093, + 1885, + 3344, + 6323, + 6062, + 5994, + 4471, + 6804, + 9313, + 8055, + 8246, + 8062, + 8558, + 7795, + 6568, + 9820, + 5332, + 8323, + 8337, + 8582, + 2053, + 8854, + 3039, + 3273, + 4614, + 4007, + 1114, + 1259, + 403, + 8952, + 5017, + 6732, + 5382, + 2652, + 9343, + 2909, + 1052, + 6363, + 9798, + 9578, + 193, + 6638, + 1988, + 553, + 5423, + 9862, + 7495, + 5720, + 6680, + 6332, + 3321, + 8321, + 4070, + 8532, + 8210, + 3194, + 8061, + 1482, + 4473, + 8872, + 3380, + 105, + 6863, + 2670, + 3191, + 4569, + 2287, + 5968, + 2848, + 7951, + 6454, + 7639, + 6486, + 381, + 1060, + 4671, + 664, + 435, + 913, + 7175, + 3050, + 4593, + 2903, + 1315, + 1512, + 4585, + 228, + 1273, + 6161, + 5015, + 5759, + 2058, + 6749 + ], + "output": 1 + }, + { + "input": [ + 880134581, + 772576344, + 399895356, + 285967908, + 867328643, + 442745784, + 424034268, + 345772360, + 916019994, + 542598802, + 933956188, + 790793630, + 683928860, + 739568265, + 956222957, + 333512601, + 626919162, + 553949110, + 627736799, + 918401986, + 613953728, + 387419984, + 458262981, + 817382805, + 248018453, + 688854223, + 838755468, + 470061499, + 869401840, + 303790130, + 838894964, + 165822129, + 594444959, + 243189521, + 669050758, + 737400510, + 231655911, + 30326960, + 235299222, + 649728743, + 671186820, + 286886018, + 436529751, + 185275958, + 547596220, + 600755891, + 209994949, + 961919305, + 375781259, + 759825101, + 626503060, + 25211291, + 934281965, + 321043477, + 542621448, + 689843640, + 219739535, + 411035537, + 449771194, + 226860314, + 896492991, + 996264811, + 215102042, + 756270916, + 178304891, + 261744798, + 558714022, + 706782684, + 956959014, + 490566913, + 542120187, + 719256649, + 416303989, + 61347588, + 153604934, + 762771462, + 603882321, + 427415285, + 765590810, + 150127576, + 154080204, + 615974251, + 14547133, + 593013610, + 676690296, + 667964848, + 886562719, + 918748935, + 986729577, + 62084349, + 924807360, + 626914636, + 218372326, + 166342871, + 420648285, + 955220235, + 891435030, + 565138979, + 521600366, + 338037871, + 754271599, + 107000763, + 888415279, + 351965887, + 701171583, + 473187119, + 448322308, + 683063263, + 621336856, + 441295215, + 451921142, + 675330910, + 627256387, + 818825062, + 44897016, + 582385043, + 393380812, + 340108689, + 233337944, + 392598383, + 130523171, + 482971695, + 852799954, + 106048655, + 369166645, + 522158820, + 499886164, + 611754363, + 216567126, + 415808131, + 14652524, + 258245719, + 924670087, + 192796564, + 317461463, + 753866154, + 890410282, + 980006795, + 352341946, + 490438905, + 169688110, + 37675331, + 394193105, + 631912887, + 669203877, + 65544428, + 970631344, + 706011143, + 8176764, + 501677981, + 339117111, + 176773217, + 791368146, + 587962126, + 627740643, + 733236899, + 611860782, + 562305253, + 766521040, + 312178013, + 47761851, + 98432974, + 588162107, + 444674798, + 571338681, + 114611482, + 583158315, + 926899872, + 897431605, + 836739450, + 768186063, + 310965058, + 139757743, + 778356561, + 367377726, + 710071529, + 865143542, + 116307916, + 867012046, + 356666333, + 921026908, + 54450768, + 134760156, + 285246220, + 388482510, + 630448736, + 528156768, + 176528757, + 931414016, + 307551907, + 99316255, + 266686125, + 313456830, + 793419672, + 266440651, + 533941226, + 886515287, + 72275303, + 306917683, + 124564538, + 377120763, + 430900101, + 485708981, + 979664933, + 657691604, + 90500814, + 207190418, + 967831406, + 179496476, + 431639293, + 461749564, + 612003348, + 491543465, + 143042116, + 966639695, + 794974882, + 867504308, + 535412914, + 997445736, + 485066855, + 255377770, + 400095408, + 774358859, + 603140676, + 468099733, + 255363971, + 473944888, + 197176342, + 973530146, + 172853722, + 199954001, + 978998390, + 830249155, + 171041494, + 120249799, + 579789336, + 107296359, + 438775113, + 865549448, + 562505285, + 231622051, + 714284255, + 416414838, + 269725703, + 813564951, + 944196270, + 35646766, + 968437086, + 546502886, + 546422956, + 875177829, + 326017648, + 683369044, + 63654388, + 914744887, + 494446264, + 832996181, + 566016927, + 233133088, + 444528299, + 204444062, + 250989857, + 118983280, + 119662544, + 320619678, + 613517678, + 646513731, + 519700369, + 622410353, + 711144761, + 266942622, + 520873743, + 104955789, + 129013154, + 554852411, + 725295921, + 899119983, + 32574354, + 205539784, + 900472700, + 608023236, + 102802351, + 811913593, + 867657831, + 425237762, + 489011961, + 34960631, + 778647993, + 48441060, + 113001319, + 880043047, + 404956576, + 873335266, + 931093557, + 354633711, + 908299247, + 424017231, + 702019415, + 682808317, + 448773159, + 272677484, + 998023769, + 275324422, + 181769605, + 135097231, + 374001181, + 550506573, + 281125676, + 574620620, + 289257907, + 733000269, + 726248148, + 900258599, + 216092838, + 240121451, + 708935526, + 506559984, + 963363142, + 253694543, + 777066885, + 419847752, + 2652071, + 627294638, + 171007737, + 907616306, + 519545295, + 661559856, + 565333487, + 898602413, + 13958534, + 711190046, + 173167041, + 758537373, + 237579306, + 670774187, + 819935884, + 433063890, + 915907577, + 920122143, + 261554375, + 289850613, + 806720049, + 90279520, + 669013334, + 722036381, + 729756124, + 575351689, + 192568727, + 859312670, + 128539214, + 762993428, + 241916328, + 486223592, + 481582130, + 615943868, + 351001380, + 594050060, + 94773984, + 693430750, + 533892524, + 449685957, + 334808432, + 987874779, + 888479582, + 370668495, + 811783463, + 93478705, + 69267479, + 872783381, + 190302820, + 667739790, + 145636316, + 63906558, + 548643453, + 985463619, + 387166978, + 330385720, + 125101087, + 213821867, + 651438543, + 834569065, + 730846149, + 932085945, + 929269685, + 661825104, + 861763088, + 296522335, + 150480786, + 559100677, + 710561705, + 773008032, + 669361091, + 40518632, + 676061939, + 843546521, + 565118836, + 825528783, + 398193933, + 984187516, + 589127548, + 813097488, + 95508608, + 153585091, + 548697798, + 132398524, + 269756492, + 932618409, + 736498963, + 626086192, + 780365242, + 486370081, + 871224782, + 677702319, + 732835810, + 715527718, + 496235293, + 156585614, + 612477670, + 811854968, + 608070165, + 127260843, + 993953090, + 884552894, + 13981110, + 658916984, + 395298925, + 418582978, + 749389445, + 208198562, + 484086863, + 842428799, + 475951277, + 104882693, + 385918757, + 73796067, + 166532765, + 132510202, + 537121325, + 673264417, + 165438708, + 913594804, + 326855874, + 784445863, + 896610721, + 667820898, + 882894177, + 909420690, + 49880421, + 16788138, + 566527517, + 404188221, + 407323260, + 732317301, + 743768712, + 614759288, + 816320839, + 315273597, + 835026277, + 293575911, + 206271346, + 90936162, + 668736539, + 302389864, + 459844314, + 162515010, + 862326889, + 177225784, + 528516817, + 823703198, + 229755259, + 957042756, + 517440603, + 45020469, + 309685972, + 571201613, + 888817946, + 339605797, + 268092512, + 350297303, + 286439307, + 892585975, + 563766413, + 513505346, + 872215479, + 854012212, + 218379954, + 157282502, + 470437082, + 761379652, + 276970771, + 493873962, + 58666708, + 781357424, + 151773969, + 153870990, + 348396378, + 697076565, + 343494124, + 39075594, + 37153310, + 747327376, + 122061654, + 230235985, + 221466327, + 883883323, + 732694798, + 817210114, + 325957917, + 18766305, + 517066355, + 959470517, + 421080533, + 435913042, + 705598828, + 5348100, + 285893444, + 78046703, + 488054923, + 572627920, + 432743852, + 948900250, + 736573135, + 738344964, + 988861227, + 398334267, + 277995509, + 498754434, + 510417446, + 475048505, + 481959671, + 151876203, + 700786392, + 417931322, + 508328046, + 218383798, + 81050850, + 4313417, + 473279813, + 673133917, + 651855879, + 381360874, + 160050498, + 170551997, + 476899325, + 738621887, + 351042132, + 543581701, + 861974785, + 355566841, + 826549942, + 237117440, + 543117197, + 483543531, + 745213607, + 452335783, + 621175847, + 111318154, + 935765313, + 909331452, + 951966961, + 512011656, + 833880599, + 597741088, + 872274903, + 560446748, + 744208922, + 218081788, + 142263085, + 573883519, + 508791472, + 362161935, + 279607720, + 384278637, + 965625191, + 297709186, + 462405913, + 592725170, + 413244218, + 582331867, + 664571626, + 985169835, + 916123874, + 524935945, + 484435373, + 137106007, + 649542576, + 326401842, + 244266171, + 489351182, + 297897611, + 889704034, + 155945450, + 174442632, + 26784993, + 744683236, + 986668727, + 90041339, + 495527940, + 689047218, + 762033464, + 155512913, + 60674792, + 742149376, + 596709359, + 163780172, + 646548398, + 366898016, + 320965012, + 995240516, + 723505963, + 210166510, + 798029805, + 478153548, + 56881214, + 888721357, + 542004888, + 775626756, + 809451122, + 272418222, + 173639111, + 286098594, + 611114581, + 641980247, + 701500272, + 611823172, + 939271211, + 71699397, + 910264860, + 262532802, + 64658012, + 177893373, + 662385997, + 132751936, + 98329502, + 579500005, + 740419958, + 794639957, + 142057103, + 665985676, + 914527982, + 861261245, + 428488057, + 56775855, + 910959663, + 68015485, + 360503160, + 874976061, + 190543094, + 987695376, + 558939973, + 414401767, + 247235645, + 304530811, + 493345265, + 606075312, + 479464367, + 997036831, + 737833138, + 77451196, + 869699626, + 324606997, + 813256583, + 744407651, + 955824666, + 754177258, + 740449609, + 534833485, + 379245616, + 573202702, + 380701824, + 827132959, + 377627300, + 189601742, + 558175455, + 401128069, + 463201588, + 560587369, + 731579902, + 767139271, + 579312239, + 81695574, + 801099849, + 538042779, + 407492156, + 636329167, + 25890949, + 292048859, + 151982005, + 634079655, + 754850072, + 260757988, + 468748736, + 561942506, + 697499773, + 786723516, + 371086704, + 876426870, + 717046791, + 175042717, + 882575342, + 645212179, + 546168724, + 470672062, + 166754854, + 274065461, + 569537741, + 934786224, + 865097934, + 847170782, + 800668609, + 242817177, + 489067315, + 466647660, + 664841831, + 616484459, + 423313670, + 217250759, + 767812248, + 797333026, + 749631803, + 570555538, + 379426258, + 392460932, + 954688478, + 999734125, + 495397031, + 759678331, + 649160808, + 563505130, + 898832468, + 15339902, + 283184511, + 544660738, + 85248101, + 222703515, + 160211141, + 878631619, + 648286438, + 352828235, + 838019019, + 512509076, + 600878809, + 938338531, + 41425638, + 211520661, + 599034085, + 718208994, + 828142874, + 458943629, + 759078031, + 260160591, + 134766086, + 527382561, + 781315434, + 467586385, + 435971510, + 805718715, + 283227731, + 73074346, + 472269190, + 596254440, + 694634299, + 438716978, + 777087297, + 483236731, + 156053414, + 766189998, + 532906092, + 185416814, + 84218400, + 575273728, + 529965932, + 809119906, + 85322015, + 526122603, + 401655498, + 780076639, + 442660256, + 630077768, + 36342618, + 542794984, + 199822166, + 936772901, + 77180605, + 818811635, + 201206097, + 645087205, + 979075212, + 529223113, + 42853898, + 257526141, + 853670132, + 1720867, + 236863356, + 694651676, + 512028949, + 187912206, + 385718107, + 900644686, + 50834120, + 690257769, + 601236484, + 732283314, + 110237559, + 77011139, + 289987174, + 17427166, + 324629539, + 192776784, + 544978481, + 306967470, + 920161449, + 908974656, + 916583129, + 2248877, + 805749663, + 237375731, + 669110904, + 8963267, + 342045943, + 111357842, + 470333536, + 917153092, + 659765236, + 532679838, + 398986864, + 685861428, + 96358107, + 180004551, + 590781972, + 955957460, + 771681539, + 543948536, + 392746777, + 401956067, + 710398302, + 106514925, + 347856221, + 599578170, + 116437387, + 154764380, + 715615838, + 579277010, + 845671657, + 494033278, + 780901733, + 139390024, + 277952692, + 179821844, + 998953360, + 563279363, + 688607075, + 789711207, + 671569314, + 819485210, + 981261276, + 461562095, + 427689991, + 602816934, + 692361233, + 93224972, + 143566458, + 587418818, + 892790495, + 467671907, + 241249859, + 673915634, + 453065593, + 958982220, + 581218739, + 909532277, + 826566853, + 32422828, + 479989188, + 616245339, + 367747558, + 865774050, + 80895272, + 854099804, + 940735465, + 713823710, + 357997900, + 908651039, + 431558662, + 511202840, + 912915540, + 348524445, + 211561092, + 662037418, + 416614013, + 583743789, + 759661735, + 191792744, + 835703055, + 94302797, + 565989672, + 407178331, + 93793489, + 797953111, + 669445167, + 517768701, + 984130624, + 922044946, + 809419816, + 240115778, + 278337927, + 532041230, + 661214810, + 535945003, + 898362132, + 302496266, + 921440348, + 927427908, + 594629097, + 215105436, + 496506064, + 538979114, + 475379294, + 502812442, + 235637363, + 432616979, + 603336447, + 76950014, + 686533318, + 70537644, + 734543399, + 424946745, + 175372282, + 844018573, + 761543055, + 35205055, + 628687645, + 950267177, + 549983511, + 198485422, + 187359376, + 176747298, + 859964012, + 376627453, + 657128300, + 183569546, + 886172616, + 256221030, + 300621767, + 31234219, + 751394526, + 593680602, + 553840813, + 22071677, + 97957834, + 261117661, + 184885080, + 831609621, + 263373030, + 325013264, + 743131724, + 363682873, + 328548105, + 537817330, + 125466955, + 975776780, + 24702259, + 65316095, + 216264569, + 158011448, + 882818224, + 349215164, + 420639521, + 452781685, + 191103336, + 622343398, + 878372588, + 907975301, + 758066951, + 975328122, + 62985578, + 61909456, + 386874032, + 713724838, + 890473535, + 185195713, + 11065797, + 314089135, + 795360450, + 706327741, + 527825810, + 920672612, + 174968481, + 981349202, + 534311286, + 37732071, + 631176666, + 841586215, + 927795421, + 120036032, + 320628049, + 782545674, + 749094841, + 740887370, + 270207196, + 67485636, + 902423647, + 51879070, + 66981155, + 523366167, + 419607420, + 672979049, + 791043663, + 530046309, + 416682213, + 812732392, + 59711099, + 120523508, + 545936022, + 611587157, + 535590655, + 285963266, + 8145664, + 599957583, + 428105620, + 174340714, + 310558245, + 70447271, + 940842957, + 570508289, + 925456263, + 98443414, + 643220660, + 277755316, + 850283835, + 540825140, + 788939941, + 998154476, + 325098342, + 380250563, + 850094965, + 859131515, + 998188075, + 418435195, + 834469150, + 387752591, + 365563465, + 451960681, + 134334846, + 891956447, + 353489891, + 337029105, + 267027321, + 89371550, + 169408345, + 778259043, + 779660290, + 42067294, + 903738791, + 977290722, + 327805349, + 153628554, + 67370584, + 223050152, + 216192237, + 422626883, + 723733818, + 701794979, + 766535550, + 736867524, + 850994919, + 858194214, + 837536082, + 112330226, + 940167120, + 945766578, + 166409496, + 812378888, + 555885426, + 929659699, + 421668388, + 601088615, + 621827512, + 14859556, + 366179882, + 280106429, + 869154158, + 183493139, + 692369111, + 171396178, + 897359245, + 941617762, + 363206494, + 78936329, + 862799901, + 892769282, + 61190226, + 795640030, + 425614094, + 904416199, + 299516809, + 116911811, + 275966376, + 459508017, + 900447237, + 941954168, + 996501730, + 588394149, + 436021075, + 645997381, + 756179844, + 503848726, + 566747041, + 209474506, + 979152914, + 68140211, + 470617450, + 617381764, + 176938785, + 847368396, + 141207456, + 305173944, + 737893686, + 222174823, + 161525396, + 504857329, + 401814031, + 212645175, + 528881497, + 651687005, + 108938678, + 555698488, + 596216009, + 58281356, + 875618559, + 293658280, + 184101557, + 259458365, + 991563909, + 589089716, + 666700585, + 599546523, + 856012064, + 444852982, + 54340573, + 218873795, + 263926502, + 892015658, + 133745280, + 699845646, + 96771102, + 523544304, + 570136135, + 51721450, + 172387488, + 479090931, + 786819469, + 171460363, + 591513922, + 862728817, + 752485090, + 526487159, + 696592596, + 24678964, + 962421987, + 769000589, + 48852146, + 661017008, + 302618527, + 680947335, + 740857756, + 563600952, + 183924161, + 452180034, + 693831759, + 101967127, + 31054786, + 91737730, + 651514973, + 64883071, + 609927629, + 357201698, + 939343995, + 509341846, + 651440103, + 57979123, + 945232207, + 686351205, + 711889560, + 875313201, + 677832830, + 898234859, + 510122457, + 265197318, + 773297210, + 648845235, + 709706177, + 657632913, + 148241707, + 571881428, + 839670173, + 988238577, + 646014857, + 615165986, + 541727120, + 73485003, + 443930949, + 449762269, + 979604289, + 383926461, + 227276678, + 162037204, + 495227167, + 433029221, + 424448698, + 964862201, + 829425930, + 102024962, + 562401930, + 329558494, + 7311074, + 419358016, + 494307195, + 797314957, + 424710001, + 602063242, + 173556290, + 125967227, + 188150945, + 756824129, + 713111706, + 814169505, + 197166219, + 712966411, + 879461144, + 406442641, + 510256168, + 347928793, + 368754833, + 890191749, + 682372365, + 138240790, + 747721640, + 219309338, + 524181514, + 370760113, + 436301661, + 860516073, + 691836876, + 692611666, + 394307541, + 291055171, + 742487977, + 670666604, + 752328679, + 367522778, + 426769960, + 567519212, + 873066011, + 219728513, + 121789517, + 81472970, + 709711604, + 525944912, + 876902987, + 42521265, + 114998371, + 270989922, + 50771903, + 779680368, + 57052960, + 903587836, + 943165240, + 152928669, + 321759514, + 325023225, + 343090394, + 879846901, + 153627120, + 112113062, + 281766978, + 214000481, + 221281563, + 393210444, + 333557984, + 769202502, + 44183180, + 123977758, + 607898661, + 163389256, + 625546306, + 665003068, + 695035568, + 270652424, + 945461310, + 864562928, + 461380245, + 481649749, + 852837953, + 476267006, + 206786506, + 209312089, + 185441970, + 373448724, + 929552897, + 200210500, + 103459553, + 144584992, + 491412477, + 184851199, + 479789037, + 91741401, + 488779870, + 964247927, + 552844256, + 468009547, + 239812109, + 609852086, + 818950291, + 102327732, + 863709170, + 813045574, + 678415650, + 986123934, + 710239254, + 210831962, + 505162691, + 420461693, + 545438476, + 7797730, + 568810553, + 931345382, + 906217549, + 430456515, + 173628963, + 292494095, + 107219426, + 549508067, + 963564693, + 849151182, + 534795215, + 480840604, + 646518941, + 604736001, + 959477896, + 467692514, + 421180748, + 421787878, + 721141457, + 581020237, + 740191213, + 288716393, + 85717855, + 619401017, + 811949627, + 656967405, + 592961859, + 9411446, + 29759375, + 559454848, + 551489736, + 502164197, + 770093946, + 669643578, + 344958550, + 541577042, + 779195339, + 684602386, + 913457927, + 200132908, + 450227575, + 733159299, + 828704931, + 393186364, + 799931151, + 989534405, + 218836627, + 160081407, + 47949021, + 985620554, + 439767022, + 600714, + 495495185, + 60199641, + 268790512, + 196435175, + 113966723, + 302799307, + 60534034, + 606501938, + 457288995, + 167775528, + 964982527, + 689021281, + 226628045, + 780137520, + 264998706, + 437816417, + 728808339, + 867920937, + 880621703, + 601897238, + 609684610, + 763433141, + 587260378, + 60814402, + 827278057, + 237049497, + 690916996, + 482725843, + 654099597, + 18528212, + 430960501, + 473937225, + 482783971, + 208103646, + 770778613, + 512019572, + 880733956, + 490928234, + 618524844, + 803238729, + 665597934, + 616789008, + 600587092, + 643721641, + 158496757, + 134282568, + 319200580, + 28258385, + 743498717, + 396052512, + 103573165, + 36531067, + 223986369, + 254329795, + 947187062, + 940789394, + 164377888, + 776672798, + 464676212, + 301994891, + 75651122, + 903905978, + 986104978, + 106547723, + 268020873, + 219739741, + 487257993, + 735791232, + 989211030, + 378452656, + 134419170, + 455535464, + 705992556, + 780465696, + 441150358, + 447708575, + 728959143, + 515254405, + 841302849, + 699058320, + 334771242, + 635985965, + 800545078, + 316446845, + 526451793, + 655597577, + 962426078, + 993821776, + 416489243, + 516026856, + 868204626, + 217210986, + 859142864, + 936553674, + 515610154, + 886003773, + 698797796, + 992996010, + 743396685, + 380582672, + 528882456, + 976415193, + 557079670, + 586004974, + 16205129, + 149273514, + 205225407, + 984103384, + 482325608, + 46915971, + 112526002, + 698204581, + 985735014, + 769870509, + 23587066, + 331246758, + 816497241, + 417735063, + 755506684, + 384056946, + 287854193, + 651352498, + 316285895, + 734301170, + 438300577, + 813685254, + 466187095, + 744997108, + 132352140, + 336389235, + 604950873, + 517850562, + 449840557, + 923138843, + 247753537, + 304262871, + 936434074, + 150583455, + 172885342, + 73138219, + 514111262, + 154051255, + 447694590, + 189667118, + 836505073, + 493201418, + 741756469, + 203092472, + 31690956, + 981778826, + 73767046, + 568051413, + 429089611, + 977403653, + 952200436, + 14455362, + 573251540, + 191730834, + 276579102, + 70853738, + 171808054, + 208442406, + 851465524, + 532989525, + 653667313, + 752657273, + 58946045, + 272740085, + 886739804, + 112852903, + 499398597, + 864446296, + 730620154, + 81106425, + 299526731, + 900727649, + 100505327, + 299352481, + 991008226, + 723257126, + 563137055, + 878157515, + 158782475, + 588053481, + 502838215, + 408446454, + 781625212, + 21127776, + 896622836, + 918759002, + 935425080, + 61888471, + 612182673, + 177366247, + 690155543, + 115011574, + 748249537, + 655721797, + 659690898, + 228417059, + 537151795, + 842722133, + 993917243, + 730423320, + 449628813, + 6364244, + 100039232, + 117368215, + 259066785, + 645933208, + 609097517, + 405748786, + 551432159, + 600907654, + 468230450, + 950926704, + 387420380, + 688027441, + 64837348, + 983246898, + 721375778, + 330290051, + 358806879, + 934728758, + 469044479, + 493285999, + 197978023, + 615097485, + 651161792, + 504194903, + 69153659, + 648684407, + 349740669, + 131591369, + 278256733, + 453913684, + 662163947, + 617552739, + 261153686, + 723600336, + 396672550, + 995128794, + 254881104, + 437279852, + 48798391, + 213660407, + 617865204, + 147315456, + 585408779, + 56923662, + 728651466, + 584396128, + 919784043, + 680357374, + 305368272, + 11529393, + 167379580, + 116812010, + 814682781, + 329090073, + 941329056, + 66669214, + 420872178, + 811550443, + 837222041, + 567492099, + 783575592, + 710768922, + 137575014, + 710342549, + 82981288, + 987943564, + 258456475, + 468771019, + 255983643, + 362200413, + 47502277, + 289159318, + 399635479, + 442212665, + 111649090, + 872160154, + 367896929, + 913241122, + 104593010, + 742256538, + 99382518, + 721327260, + 730778209, + 11111220, + 693491268, + 77197842, + 986255623, + 817697531, + 82676340, + 170633033, + 724107908, + 139906038, + 578055297, + 379030386, + 365378502, + 681448528, + 238487398, + 970659682, + 178645656, + 219647130, + 640016793, + 193327590, + 842854339, + 469888791, + 602792684, + 896367446, + 895790618, + 736489903, + 993802620, + 431518449, + 771225963, + 424566083, + 665618103, + 393455369, + 297188008, + 902745447, + 795308555, + 122243562, + 302527475, + 401265707, + 124186401, + 655007361, + 452165170, + 996297717, + 249240501, + 327468149, + 704503438, + 885391687, + 68148599, + 786724826, + 545753051, + 853072026, + 426870106, + 89241862, + 520261417, + 83933253, + 259308983, + 164457204, + 763768506, + 441763015, + 264510823, + 838686598, + 67631513, + 916142290, + 483325405, + 579048898, + 498085083, + 476232898, + 150605306, + 867076467, + 972788442, + 85301124, + 120540672, + 617160931, + 149817747, + 632261526, + 848427828, + 688408611, + 978732678, + 849819215, + 768518709, + 611630648, + 638240344, + 135657907, + 92299879, + 332481787, + 511810191, + 28021996, + 141540783, + 65787126, + 586562957, + 269445371, + 59233012, + 599170217, + 39434403, + 623399301, + 173620216, + 917426988, + 611925862, + 269604200, + 135145280, + 478531362, + 373128932, + 364449381, + 727537493, + 578711396, + 378809101, + 78883507, + 735615072, + 751887574, + 225407373, + 92672921, + 153629933, + 181387715, + 379259787, + 758209495, + 178626801, + 251235767, + 533765874, + 855945630, + 403543512, + 561320502, + 905203378, + 851629389, + 951733071, + 404594014, + 751693488, + 139595787, + 922915032, + 789803680, + 151577066, + 719385155, + 535058971, + 375930054, + 414477870, + 687269879, + 456160510, + 580337833, + 24528308, + 90762728, + 246767754, + 621541402, + 794846439, + 141426772, + 447790020, + 164921437, + 731591452, + 578469376, + 395298172, + 569038719, + 864626212, + 339785938, + 69146035, + 771499393, + 70689027, + 59291569, + 741811434, + 961303996, + 508605250, + 548333580, + 755747157, + 633038155, + 148848049, + 668313240, + 104373766, + 350354552, + 162936130, + 296087603, + 760609343, + 862695741, + 951721561, + 995208806, + 300108028, + 392859482, + 984989099, + 750297115, + 297797683, + 631804731, + 981318307, + 574610714, + 549598639, + 140394307, + 503830565, + 259101642, + 705520360, + 820390021, + 859915830, + 846788934, + 229133577, + 767976744, + 331844732, + 69798730, + 641436386, + 247177850, + 596697633, + 697053935, + 580017933, + 214227730, + 953002617, + 618032872, + 812231634, + 402774115, + 177987237, + 636706626, + 666118197, + 24460186, + 792776090, + 563113284, + 190520849, + 622985094, + 728732889, + 583369663, + 329377401, + 871472336, + 641861133, + 293626715, + 373799186, + 35695867, + 479155415, + 254490628, + 300750322, + 692446168, + 694321056, + 846338356, + 212582822, + 157416787, + 919545078, + 842930596, + 120076839, + 313133540, + 904954772, + 609252495, + 770173639, + 859608129, + 969925755, + 16360958, + 955212592, + 44157707, + 190278628, + 426555992, + 460422723, + 452244153, + 419159704, + 387954827, + 706823702, + 78285174, + 438956589, + 63328254, + 463394999, + 296821640, + 769584373, + 498213425, + 68803662, + 986819385, + 80218182, + 167618716, + 865524752, + 72735552, + 316623758, + 974033857, + 105271371, + 758583434, + 9717387, + 70773112, + 993343705, + 347679241, + 481037028, + 185612719, + 872345821, + 431825976, + 812570634, + 395056075, + 802189373, + 290366213, + 875480868, + 633330130, + 369201188, + 405095154, + 572545798, + 833505626, + 947939598, + 359122225, + 433202667, + 80286651, + 658519099, + 952492304, + 714907217, + 32973500, + 568352327, + 279790242, + 19065587, + 962868116, + 217880562, + 837383273, + 621240372, + 759916378, + 442049269, + 253180365, + 90834231, + 307579845, + 88943641, + 747922868, + 438782671, + 258850955, + 194207089, + 281747763, + 774629962, + 433039410, + 611661669, + 481490435, + 333595310, + 900179970, + 655185148, + 135789128, + 980194675, + 960851715, + 239709283, + 246534646, + 960461130, + 421521249, + 796831313, + 111278653, + 674136070, + 749467478, + 698566870, + 695240956, + 157281280, + 619420093, + 543026019, + 578052070, + 577949874, + 534745180, + 238719521, + 704613616, + 100786738, + 422622127, + 227634021, + 891045564, + 22568487, + 134377904, + 707191161, + 134738821, + 260834729, + 106127363, + 425578281, + 276730987, + 114500982, + 708262188, + 849744077, + 8695985, + 952519759, + 426410880, + 263097653, + 748578107, + 985301557, + 227742037, + 378878077, + 659929914, + 795359723, + 526922511, + 559456295, + 552487088, + 111622971, + 39837625, + 338800241, + 129607375, + 111359509, + 247604166, + 752502743, + 620086098, + 863923357, + 493961085, + 156780742, + 467995463, + 700596055, + 365893473, + 805388765, + 414743121, + 462166346, + 755138510, + 352275527, + 863297149, + 897246513, + 533560236, + 611620748, + 344047092, + 511548960, + 538166882, + 326774152, + 790792184, + 969759827, + 14228468, + 790569648, + 656749223, + 901574409, + 121474565, + 465703526, + 299275550, + 204709903, + 418016999, + 940698960, + 991006749, + 859119046, + 443194910, + 137070530, + 222897214, + 54183866, + 312380392, + 780630321, + 369682894, + 2480034, + 532864381, + 32284294, + 353630520, + 585544937, + 143995076, + 876190582, + 725301183, + 418823086, + 254447506, + 929511656, + 10249536, + 965878678, + 333852087, + 859476766, + 847392027, + 548091454, + 494615494, + 951679252, + 21496311, + 91776224, + 657743618, + 303969631, + 588258572, + 746531310, + 720042308, + 456893573, + 201306991, + 857560630, + 897488572, + 657456847, + 312885102, + 604607510, + 176237782, + 760909188, + 917764102, + 538901744, + 709228448, + 163580968, + 347078808, + 280789372, + 561588265, + 949745639, + 321879801, + 481349233, + 129357682, + 287456062, + 790099015, + 503389519, + 798310544, + 647352229, + 309257212, + 234797849, + 39635800, + 474306494, + 154174829, + 521924648, + 918597576, + 464102856, + 769510331, + 724065379, + 322714373, + 360702606, + 327708720, + 272620202, + 492824845, + 291686464, + 35709477, + 521848201, + 12818220, + 665496599, + 415225050, + 734114117, + 992139588, + 547331410, + 316797623, + 703351064, + 929752390, + 787824152, + 757360642, + 256458546, + 681361391, + 450699039, + 319461551, + 44352269, + 474536512, + 46868709, + 152686036, + 386573958, + 204094073, + 825579934, + 197151252, + 560877903, + 528503712, + 364689940, + 70620046, + 659869127, + 724771240, + 832810343, + 754116596, + 49426883, + 267241002, + 747138124, + 273144391, + 478277993, + 453790794, + 890766060, + 847152275, + 262720034, + 458974246, + 679028981, + 520702921, + 483367399, + 981746812, + 14028504, + 176728008, + 658791441, + 875735224, + 467407109, + 468214839, + 269472309, + 268261275, + 73363443, + 297967191, + 54907598, + 974938344, + 17806392, + 292662532, + 895947619, + 840555959, + 884385441, + 841708894, + 257746916, + 489857544, + 232996929, + 190619201, + 423022793, + 743083091, + 438058220, + 554408149, + 111880559, + 965219302, + 668017885, + 823259574, + 472428536, + 813910760, + 986702605, + 556845780, + 433579323, + 927368928, + 473608965, + 166680194, + 283332311, + 355720431, + 128215598, + 173709844, + 163856707, + 779657383, + 780228060, + 553135678, + 694035129, + 492397970, + 350727737, + 517127464, + 878483215, + 219748709, + 207253745, + 514304549, + 431027779, + 387991334, + 461610399, + 818427897, + 847103398, + 978515377, + 652539219, + 982444559, + 993615212, + 850571612, + 960687715, + 48944000, + 742202851, + 455882946, + 21496059, + 875233018, + 596427840, + 888015296, + 846792885, + 745388990, + 118447504, + 191973880, + 64382136, + 703577285, + 103252524, + 690054196, + 308189091, + 897929584, + 872710586, + 112274640, + 767463251, + 767290138, + 952724760, + 291311206, + 352014967, + 632984407, + 501905941, + 255121980, + 593074290, + 550734819, + 553622678, + 319300726, + 682151721, + 491122144, + 795700186, + 36869078, + 303956606, + 325317411, + 327520520, + 183506678, + 964994271, + 441377748, + 932875058, + 382431616, + 511306776, + 991732249, + 967211389, + 335690295, + 395306130, + 379167293, + 481793903, + 90409646, + 114086824, + 621442278, + 241472451, + 90190810, + 968244321, + 659585256, + 296379969, + 209416969, + 384473440, + 844575369, + 468856345, + 101260546, + 811652275, + 462950044, + 93861448, + 901433789, + 223030023, + 628211323, + 881718298, + 379607418, + 331955406, + 243841695, + 124533777, + 49155087, + 296264050, + 710571806, + 58593104, + 463893355, + 730268310, + 457565437, + 16552135, + 651497092, + 93997826, + 95881278, + 959670066, + 513667873, + 966289241, + 336946518, + 863090289, + 316675647, + 369905251, + 240966169, + 562203917, + 254819235, + 954523195, + 406261168, + 989704716, + 811617148, + 805942349, + 669298573, + 922333436, + 495766959, + 768022814, + 346283329, + 80665061, + 527444685, + 515437651, + 56817497, + 174867389, + 510709873, + 983555850, + 768574475, + 506938762, + 915760168, + 715766339, + 480193700, + 207145374, + 691764815, + 892287236, + 396738393, + 150987107, + 814119155, + 736722811, + 113129493, + 135182635, + 546307251, + 127435873, + 830569372, + 291188992, + 736971886, + 960467793, + 791057203, + 911460590, + 69528754, + 433324528, + 907867001, + 780090987, + 139382960, + 801165571, + 651259270, + 521507548, + 436751795, + 153808064, + 509878617, + 567196036, + 537556510, + 776338834, + 849023999, + 340222502, + 415929831, + 736333387, + 241422204, + 219298991, + 986199650, + 289741199, + 648777652, + 516108253, + 444615167, + 783980859, + 793363357, + 676120389, + 570184159, + 819033135, + 75535488, + 300066219, + 773278827, + 451014167, + 185068744, + 164200345, + 805605623, + 77006993, + 937996921, + 843320920, + 367229113, + 42840142, + 610608164, + 10972894, + 964124946, + 558898715, + 226164289, + 348070882, + 561992089, + 610678903, + 363948351, + 294505764, + 111587811, + 80006759, + 229403605, + 909993966, + 929850367, + 732102768, + 17040263, + 728766037, + 321227193, + 767600099, + 207661541, + 464910357, + 232668355, + 450946302, + 966684884, + 782808877, + 897993721, + 465118310, + 124561280, + 527900867, + 725610669, + 194090322, + 179788987, + 707062152, + 160728261, + 973048993, + 921184038, + 423853397, + 870466952, + 742677869, + 864580595, + 201523670, + 235766777, + 704388351, + 45917948, + 193774480, + 905296432, + 176894635, + 236912686, + 614488260, + 962052167, + 674555229, + 922119958, + 701485511, + 904012554, + 355469519, + 142567181, + 102625984, + 83532121, + 317432383, + 535893663, + 713108608, + 255708417, + 826352987, + 617926694, + 652586716, + 801788709, + 268511627, + 381245261, + 478063929, + 726875318, + 850366219, + 54454013, + 835225928, + 6166094, + 55866645, + 551548516, + 698483712, + 770704894, + 870096613, + 308675252, + 553047494, + 922311472, + 944040560, + 180288397, + 646407218, + 188125223, + 72463609, + 415461677, + 803015332, + 993367544, + 827036484, + 793395299, + 327229055, + 911109358, + 440305471, + 30153036, + 650239477, + 441164598, + 205119301, + 244069022, + 972503849, + 762679101, + 909836228, + 463363925, + 596615288, + 393459699, + 973990140, + 661772404, + 983770394, + 222644062, + 260850523, + 699712164, + 834288108, + 896053421, + 804953673, + 361108198, + 764260449, + 387786231, + 876055102, + 733912460, + 496327412, + 28906063, + 742522280, + 835899426, + 167001884, + 721601621, + 93917791, + 17744687, + 704978276, + 630176563, + 138389261, + 673890514, + 956990842, + 657980310, + 632674839, + 658423364, + 346887378, + 96958369, + 792655726, + 354000256, + 434244671, + 612020773, + 792019673, + 145949764, + 350556720, + 88502093, + 816843348, + 235552278, + 754323284, + 497443103, + 55318948, + 867055699, + 773683539, + 788552042, + 351513256, + 605329669, + 985896236, + 796044510, + 18318804, + 361584718, + 568236444, + 993887814, + 629974510, + 14056167, + 216664654, + 986971943, + 781163539, + 534481592, + 418460557, + 570205087, + 742816843, + 836692632, + 666841808, + 933401201, + 622046792, + 971313156, + 796600480, + 13794002, + 419957322, + 158449101, + 997450624, + 414974852, + 919851708, + 672868381, + 174892855, + 280972602, + 272482210, + 927609504, + 573587730, + 676339321, + 332036593, + 153071535, + 511270624, + 432031659, + 569789161, + 621456789, + 737839181, + 336933984, + 330416480, + 455615059, + 133752696, + 931141544, + 477683891, + 924840141, + 274965781, + 870826416, + 561586854, + 409846459, + 756537093, + 267311638, + 90623554, + 26533151, + 330369024, + 587476827, + 460760665, + 977740816, + 343299788, + 295053106, + 791378913, + 720355053, + 280472762, + 806856571, + 211491855, + 884357770, + 902008889, + 557880149, + 124419528, + 680573207, + 199985189, + 599242259, + 459787465, + 893252389, + 775922515, + 889571665, + 815978086, + 999775890, + 546735512, + 693730544, + 884889311, + 504429606, + 570431720, + 301654576, + 109074769, + 620793591, + 106852855, + 950285865, + 636998811, + 948330806, + 434854123, + 76336199, + 87037364, + 126875410, + 257404116, + 415957109, + 450901735, + 982811168, + 652813311, + 96789243, + 479394058, + 402027280, + 804418577, + 256750393, + 310122095, + 550095414, + 213343238, + 436112674, + 970157153, + 347627411, + 924751075, + 263324922, + 405989909, + 953672635, + 395130854, + 220216423, + 598098972, + 390486101, + 570305912, + 147127222, + 135162789, + 910814514, + 392825345, + 199228979, + 904056378, + 706822341, + 796348124, + 195651094, + 55090466, + 51404839, + 831242045, + 71053383, + 706793573, + 365404648, + 910864736, + 615848151, + 14040903, + 533191573, + 256059452, + 272224994, + 650044067, + 955263900, + 463962933, + 288567186, + 1059290, + 362518991, + 238664170, + 215464522, + 578581578, + 410088224, + 331716891, + 598103799, + 797007738, + 542060965, + 890139565, + 409733946, + 489382288, + 888577990, + 932370496, + 827881207, + 914382843, + 858649374, + 591942253, + 333184193, + 200447622, + 785482464, + 293449843, + 873016338, + 817529732, + 876038335, + 642151293, + 553193932, + 733840042, + 137977518, + 918846105, + 521015156, + 49644976, + 93574011, + 561348823, + 141279894, + 194024133, + 584145723, + 710897726, + 857903368, + 870621594, + 747637295, + 203142752, + 306547309, + 479038854, + 73282208, + 524282220, + 580600766, + 722359618, + 204874237, + 570956293, + 533566142, + 142645675, + 519885631, + 197606526, + 814260815, + 318093659, + 800481754, + 440490494, + 192718433, + 179352440, + 344864854, + 506132428, + 304563239, + 438505945, + 489082912, + 107544023, + 478909596, + 562705626, + 736609117, + 216374588, + 995382803, + 255321652, + 132167848, + 298973257, + 866391899, + 540479898, + 227036188, + 630809582, + 817532550, + 332810716, + 146894316, + 507054191, + 444362786, + 667965827, + 923634961, + 877880578, + 249989192, + 14898486, + 539826443, + 547889572, + 806756175, + 532262933, + 813127498, + 720254853, + 205195315, + 862492372, + 810737066, + 584878575, + 384203520, + 119141621, + 683663171, + 195928392, + 453003032, + 304067196, + 476836096, + 848749725, + 835881380, + 585873030, + 727565936, + 285477434, + 757326406, + 568507555, + 682082937, + 527848281, + 213205650, + 221152408, + 911706457, + 70694944, + 815684282, + 303822894, + 198651827, + 609528639, + 757159847, + 119402432, + 332766224, + 70520799, + 183107082, + 6015025, + 269223199, + 975666668, + 671034337, + 608343774, + 7733205, + 842929343, + 399400795, + 347397681, + 924393384, + 387948451, + 343177287, + 511796746, + 635489005, + 478992215, + 914824459, + 720655351, + 463371696, + 442116776, + 563952720, + 349628288, + 238306824, + 145787247, + 397392068, + 736871573, + 609284354, + 261778891, + 837621769, + 972229118, + 316662297, + 446242402, + 620364484, + 285759421, + 102391441, + 49821084, + 529376411, + 301346556, + 792725271, + 752847219, + 19606588, + 68322406, + 926562896, + 875313624, + 940141258, + 805233937, + 866335231, + 464119828, + 774249769, + 542626114, + 260300869, + 160131392, + 297259556, + 682626302, + 380514599, + 368496145, + 767287077, + 51033754, + 808085364, + 720254435, + 585838696, + 164936849, + 86668194, + 539292703, + 296739006, + 382410329, + 666651647, + 164146624, + 727629670, + 371562736, + 791755799, + 219879086, + 944776441, + 65733122, + 879686581, + 783187187, + 535438748, + 266398843, + 346960927, + 958854889, + 887821383, + 48848797, + 375664882, + 6601841, + 264275589, + 729837000, + 25363950, + 3498445, + 770362583, + 644998548, + 375989318, + 606002411, + 835883550, + 201580326, + 317441248, + 794211481, + 7210717, + 398879694, + 716682770, + 368251954, + 695270297, + 333999755, + 141600013, + 737554884, + 293484900, + 837672634, + 129245889, + 867573931, + 580119374, + 913999056, + 764820265, + 336516332, + 859998647, + 943239384, + 96192992, + 63360356, + 381230045, + 588792549, + 132859371, + 270814525, + 512659945, + 188237960, + 889468382, + 655075210, + 207168250, + 887929270, + 609854032, + 957974249, + 674655543, + 87508141, + 143729067, + 843607804, + 174479291, + 941145656, + 495220403, + 329140743, + 240060384, + 551948939, + 61941507, + 339744783, + 98641702, + 588902916, + 214292932, + 757280471, + 556616858, + 72817925, + 518624794, + 775535762, + 101996668, + 176516478, + 971544746, + 547494665, + 463165568, + 321972433, + 701479274, + 874886829, + 555966677, + 544814220, + 813284662, + 588066396, + 370057978, + 736083696, + 667295787, + 809087215, + 965708412, + 730246651, + 281855061, + 139316966, + 299372089, + 395904154, + 683438244, + 694566403, + 105505448, + 348098169, + 397986618, + 924094929, + 642083120, + 73421702, + 297964295, + 841897137, + 478519716, + 911628904, + 967770471, + 28973035, + 395502229, + 724202687, + 905462666, + 651720743, + 628622317, + 122192207, + 203924878, + 793303119, + 810760931, + 172610033, + 359557007, + 617360680, + 869123641, + 284859831, + 144335523, + 776337900, + 910500686, + 401805191, + 636162023, + 352156631, + 855188794, + 223033767, + 567501411, + 229791377, + 19511173, + 277302825, + 233289092, + 37791261, + 225142993, + 874685244, + 187126225, + 285846969, + 885664904, + 902428605, + 266335161, + 838086798, + 262776164, + 238701940, + 288447789, + 458647171, + 481152043, + 961482773, + 928311384, + 580161094, + 869304570, + 300777512, + 556127642, + 473857967, + 930483027, + 970645309, + 707434368, + 170131100, + 549346706, + 272578009, + 509565345, + 613173892, + 751359362, + 725817754, + 659510236, + 864752856, + 746221644, + 421993953, + 190999588, + 188287770, + 142430024, + 351920374, + 863812543, + 400969501, + 246038929, + 962933934, + 53744872, + 121665871, + 79737161, + 136023059, + 626507177, + 90281498, + 688596628, + 58943141, + 755285157, + 293290127, + 292342583, + 883364655, + 850394396, + 491632557, + 899684436, + 395748263, + 790468351, + 414579929, + 856719364, + 882938687, + 794211192, + 206940108, + 776736, + 436575138, + 484895259, + 773283766, + 8809984, + 216748895, + 295492106, + 14140123, + 373993964, + 561753250, + 171520731, + 755408422, + 203087322, + 79068990, + 779361578, + 701978894, + 555537656, + 54771459, + 757119820, + 88715750, + 770162915, + 810108319, + 342135890, + 255582108, + 184074599, + 496315337, + 104908941, + 261996669, + 385084151, + 23601665, + 323424138, + 523690595, + 108513093, + 916676162, + 564261066, + 538450577, + 451984897, + 642241231, + 504349044, + 496645380, + 716090839, + 588371860, + 647878070, + 563635501, + 807122538, + 981303916, + 398496651, + 126180417, + 275298989, + 266693423, + 56712929, + 789285936, + 376628847, + 350133807, + 942731597, + 497500127, + 99103108, + 727154939, + 170009926, + 788945464, + 60662061, + 820865279, + 464411818, + 341126122, + 483255514, + 766219160, + 180027434, + 438228633, + 10098450, + 942084823, + 175765207, + 844732696, + 632544411, + 903236096, + 353992117, + 528050515, + 579129079, + 370208810, + 753424167, + 39569493, + 555857383, + 259808505, + 715905470, + 298445642, + 909354154, + 266350409, + 520368776, + 915685683, + 458575255, + 800979378, + 75292975, + 641367096, + 834155316, + 816108094, + 654351668, + 235559309, + 635033025, + 312306814, + 175956998, + 796688802, + 630046553, + 798923836, + 433801005, + 464146382, + 160117272, + 182340545, + 566891216, + 308334382, + 26295098, + 581610815, + 942746090, + 342711479, + 572575106, + 653104220, + 359339345, + 845599134, + 342903346, + 865015279, + 436986773, + 686093031, + 618478741, + 191845648, + 650935906, + 268928361, + 594754478, + 360666637, + 706535463, + 813415878, + 156192596, + 565892602, + 848411844, + 783422241, + 105077991, + 156041502, + 636858751, + 636331427, + 700346479, + 248281495, + 385890794, + 33781830, + 588304430, + 925195974, + 815650634, + 506272131, + 92660242, + 380973580, + 790562096, + 920622579, + 849722836, + 132468869, + 92935171, + 163324983, + 701790704, + 689308168, + 605351924, + 193882497, + 367335732, + 864985638, + 233641662, + 524703629, + 246369392, + 457228461, + 881721385, + 444014121, + 925581040, + 457923535, + 995187887, + 737543077, + 843686909, + 216597861, + 138643448, + 565917668, + 969636024, + 842805996, + 840971129, + 828288937, + 761149897, + 348271281, + 695879940, + 667216424, + 903078258, + 397525531, + 934141886, + 993730584, + 4735899, + 494938308, + 800083351, + 765941201, + 637401606, + 900966734, + 259622531, + 509520865, + 266745640, + 372963788, + 82126517, + 952387819, + 500370389, + 268041591, + 547069513, + 104089501, + 616935628, + 403831475, + 629897579, + 884044426, + 746762132, + 556187222, + 107407339, + 294866649, + 896349578, + 710370968, + 760426145, + 58412972, + 251911809, + 76989223, + 756885335, + 685195342, + 477546730, + 50980413, + 686045585, + 840529210, + 46135819, + 332345562, + 377098078, + 745226509, + 5322720, + 50705096, + 690854733, + 570300016, + 151279462, + 732648774, + 580042267, + 695880737, + 686789789, + 586312017, + 955153493, + 627818876, + 531479331, + 226568966, + 759247414, + 133215932, + 66225957, + 334332781, + 531015000, + 807190510, + 950382481, + 757014042, + 553926409, + 218062721, + 644950002, + 336314663, + 577558395, + 883442078, + 889175168, + 807044813, + 506442050, + 464418522, + 327653887, + 213474144, + 326829266, + 836547073, + 295916132, + 853832486, + 315986389, + 218437138, + 542721607, + 476637614, + 506837195, + 502480932, + 576360738, + 912684430, + 574035845, + 187837674, + 18796986, + 521066136, + 626115837, + 267716830, + 365875508, + 946134001, + 327778673, + 42723681, + 610404364, + 589200680, + 13113228, + 248531608, + 904965550, + 926571901, + 157924153, + 852625222, + 253068432, + 942970458, + 770971644, + 841600990, + 913283778, + 431835096, + 127701545, + 478115772, + 774894189, + 43908397, + 617756480, + 274266143, + 777205639, + 48436117, + 307443798, + 306538936, + 510728881, + 317678196, + 795395664, + 621593057, + 688247337, + 976029814, + 327993277, + 948440397, + 480378356, + 966690718, + 665809615, + 100432262, + 976857390, + 886332098, + 873476823, + 564751098, + 922164883, + 89557981, + 714268503, + 579357314, + 719971399, + 623545657, + 201893267, + 133982505, + 958366251, + 188136455, + 111128181, + 331798975, + 691408490, + 28831126, + 6775001, + 389199668, + 146065215, + 388435881, + 170763116, + 942650367, + 784902834, + 859018783, + 40091388, + 408170389, + 537755027, + 91705508, + 897836136, + 804538818, + 751857422, + 150722947, + 252292879, + 906764829, + 876861903, + 572827041, + 774231497, + 966883782, + 600669538, + 60727346, + 594849838, + 137369791, + 60151235, + 279548987, + 740482972, + 365022610, + 437421257, + 472472776, + 325693648, + 462659347, + 901939347, + 329549203, + 690609580, + 432205164, + 9157621, + 742222914, + 867716465, + 391176607, + 142824827, + 919797755, + 29422219, + 858212791, + 113243081, + 515206347, + 123352417, + 124310355, + 581902871, + 692955514, + 193179223, + 120947612, + 780667084, + 195845686, + 282668929, + 773399011, + 902370267, + 72743490, + 447927540, + 539970413, + 202279126, + 618179301, + 757727971, + 805236810, + 587926366, + 913086970, + 719864351, + 253084109, + 21846546, + 148016384, + 177864964, + 813811611, + 177037415, + 778026288, + 905864225, + 879014793, + 319163686, + 685948883, + 816665283, + 339084004, + 899249783, + 819146688, + 527436856, + 513870628, + 788931159, + 568653060, + 34991929, + 996765027, + 920518752, + 806700487, + 959821437, + 267997479, + 181919380, + 139427519, + 322837696, + 971247558, + 898793783, + 141034000, + 47064671, + 651861915, + 35086504, + 166109558, + 528392704, + 149618522, + 262414755, + 614472139, + 486647147, + 494254189, + 245691628, + 225397917, + 771234796, + 493281498, + 429754018, + 369102842, + 284504182, + 14066854, + 922998025, + 387087423, + 401124734, + 813784588, + 523552982, + 888063375, + 2780235, + 60383251, + 184399857, + 908693674, + 629022306, + 809614407, + 909270088, + 251625985, + 430745056, + 720630766, + 246860881, + 198878428, + 757951061, + 733440638, + 736131215, + 699313932, + 337243294, + 570704448, + 364204858, + 456525009, + 954981464, + 404334987, + 705495032, + 686919890, + 216412449, + 390528199, + 383451243, + 132400905, + 261934898, + 341733037, + 985840218, + 974034486, + 114271227, + 857894643, + 534596624, + 931659514, + 595085799, + 32830291, + 39647797, + 654163924, + 528855273, + 4163342, + 290230882, + 408652105, + 536093775, + 667250961, + 389917672, + 629092315, + 999450648, + 971476784, + 480046574, + 862846223, + 520726960, + 711900, + 551892082, + 927149816, + 445714364, + 920633995, + 916583065, + 768716360, + 496190617, + 891421291, + 76197819, + 714388753, + 638722831, + 933063722, + 695983506, + 213229474, + 343888563, + 302442438, + 544403001, + 131198613, + 745325242, + 100701469, + 591768667, + 400415060, + 507407809, + 865193032, + 116359748, + 899145702, + 944023234, + 207155618, + 799655861, + 345263167, + 418005088, + 411897764, + 672510429, + 22600415, + 118787049, + 998737128, + 234312040, + 781997429, + 769722754, + 831316579, + 712871081, + 733698423, + 598778664, + 220907032, + 271960907, + 957611509, + 208440159, + 861577264, + 967238881, + 411625980, + 586601042, + 31719116, + 272335531, + 600581978, + 470750673, + 987950526, + 261726094, + 467273992, + 901983038, + 538611613, + 225652353, + 793254257, + 204180096, + 378716572, + 664448740, + 693881871, + 839899577, + 764475526, + 266600222, + 929501041, + 507376520, + 250116696, + 224669799, + 457017903, + 133196122, + 924703312, + 26239488, + 405843737, + 661202830, + 220200731, + 299764280, + 639979754, + 679137159, + 485513356, + 63525400, + 660861265, + 723051326, + 194234073, + 6189175, + 4940641, + 904873142, + 493982596, + 411368875, + 745562888, + 331404346, + 509906787, + 954521422, + 32640292, + 404850513, + 701854898, + 291710210, + 690721043, + 760483851, + 637314822, + 525861163, + 593861334, + 731510714, + 111100769, + 148725503, + 951950588, + 268641578, + 655813636, + 286432518, + 728031645, + 653033289, + 154437464, + 678105744, + 990468424, + 978122233, + 925627685, + 720559438, + 802092890, + 776725803, + 973222759, + 179535230, + 433444836, + 621585749, + 683431896, + 891600330, + 153075488, + 716239588, + 363697568, + 549660085, + 734964305, + 669861153, + 337284999, + 93266559, + 279733320, + 980731461, + 809775392, + 683093364, + 113578100, + 364170401, + 826625648, + 616117392, + 601229389, + 844131111, + 996589078, + 72602323, + 871903812, + 682176966, + 571741668, + 777999223, + 244639293, + 999577531, + 704164217, + 850885214, + 561120263, + 150580631, + 110025599, + 474258865, + 479464651, + 665203750, + 983236011, + 466079958, + 460144500, + 389127370, + 746427865, + 81175346, + 141635259, + 772278259, + 522949561, + 999375162, + 440820155, + 716541506, + 693346353, + 640408470, + 630615834, + 163022026, + 393668813, + 616828456, + 229131703, + 2412587, + 12294336, + 513863155, + 140876111, + 431352122, + 34883960, + 448972095, + 140755480, + 939015544, + 734235693, + 551521290, + 396033048, + 4149768, + 727955208, + 414964435, + 947438184, + 876884060, + 326702095, + 626269364, + 527686663, + 405861532, + 657023516, + 728828355, + 258733585, + 876808207, + 243000351, + 866023334, + 412330504, + 530377894, + 785068463, + 355837179, + 653576374, + 222767463, + 570908155, + 640734930, + 949208833, + 38831890, + 731920276, + 848804754, + 695126396, + 455630591, + 498936699, + 519308347, + 82109727, + 238067085, + 218182478, + 139574790, + 180429266, + 522210421, + 77527403, + 613613492, + 590838697, + 11926175, + 502335492, + 308404094, + 616437276, + 761371914, + 184977032, + 782059846, + 280001309, + 11927892, + 524208726, + 686121466, + 858651710, + 547028887, + 624696561, + 774823572, + 472480839, + 124316134, + 326106526, + 210819929, + 644884489, + 1343671, + 245403188, + 334936991, + 262543185, + 321538591, + 716393651, + 917848660, + 764160243, + 169767408, + 609768419, + 900707996, + 998511126, + 983039154, + 450174782, + 55504538, + 547114589, + 537939590, + 103579505, + 89764400, + 499060390, + 637576283, + 922462861, + 623051201, + 270377986, + 890402635, + 262701236, + 467001171, + 159044112, + 709162711, + 815222942, + 151003562, + 818775764, + 488131936, + 848624275, + 71450854, + 745112634, + 262682477, + 37924678, + 534928391, + 665564801, + 102683437, + 846203906, + 291332406, + 68849837, + 415595672, + 553769204, + 845982950, + 21588256, + 813561246, + 240195245, + 989724376, + 535437375, + 600102086, + 451751172, + 674976834, + 313770734, + 822853548, + 600821898, + 650905106, + 641246955, + 218427387, + 224391087, + 754727151, + 681521127, + 667766811, + 244880664, + 362950515, + 733244051, + 343444408, + 967469830, + 149423327, + 719201383, + 182089659, + 986203540, + 29011796, + 870498989, + 171732664, + 514743605, + 375666054, + 333608574, + 138562039, + 862404750, + 719025887, + 56009660, + 682539953, + 746036723, + 785011749, + 665312701, + 102991323, + 109988203, + 433332181, + 449569210, + 543381559, + 78360608, + 229422931, + 316273687, + 653128913, + 291118305, + 367033528, + 354710556, + 500897961, + 219233984, + 226576592, + 838930779, + 417459117, + 292845441, + 84602220, + 675175188, + 945473021, + 517845033, + 648078998, + 160207906, + 648649914, + 375160597, + 606199996, + 471183966, + 954393555, + 689794053, + 431031433, + 150102334, + 916610517, + 905777587, + 360890199, + 850899138, + 240630736, + 443669701, + 48433269, + 824372388, + 425664823, + 285703100, + 305334223, + 361709041, + 717817130, + 179000360, + 22945206, + 346908812, + 649624837, + 20170505, + 712450518, + 363814046, + 923670183, + 638830024, + 61696735, + 535131671, + 642997116, + 149404229, + 404135851, + 825685775, + 941723964, + 489770264, + 491059513, + 225953857, + 560213359, + 37381747, + 478195287, + 62289684, + 43088982, + 511633201, + 13573168, + 590983808, + 861413758, + 212187091, + 28766105, + 88573500, + 542767436, + 814761843, + 106149206, + 109265322, + 168139134, + 39588156, + 888956027, + 963977908, + 876801940, + 808538325, + 796205940, + 98901023, + 553111699, + 251371369, + 925993364, + 275332774, + 353717302, + 929306911, + 149942386, + 458059983, + 958895709, + 296560809, + 978477384, + 300483889, + 37755941, + 752542151, + 217790131, + 498041350, + 937603851, + 145536104, + 418403807, + 523162280, + 79565821, + 185879672, + 278844397, + 285640054, + 804754853, + 112479171, + 2861596, + 462200381, + 636694272, + 513904413, + 157177342, + 836280404, + 184367370, + 39289255, + 403856351, + 610344408, + 833280427, + 181347066, + 335687503, + 462679806, + 676084168, + 62480982, + 318662902, + 201889070, + 116884043, + 680246875, + 553070118, + 671074635, + 267975454, + 957648018, + 421946304, + 857712873, + 273649091, + 529741171, + 415926534, + 528974234, + 802612655, + 399987876, + 846844985, + 309698160, + 775507669, + 903684035, + 165577354, + 839728227, + 23314109, + 580507739, + 518326716, + 339349883, + 322917474, + 403780146, + 101248936, + 183351208, + 485183992, + 899287009, + 230216388, + 476153534, + 476180881, + 126872321, + 461482354, + 209826151, + 202199348, + 861283539, + 443326814, + 140107613, + 865756176, + 766226341, + 424330470, + 717028809, + 498299923, + 608087393, + 780066013, + 998012147, + 277589888, + 636892530, + 915263301, + 960275975, + 742789189, + 869125153, + 828401347, + 67305991, + 401508942, + 266211210, + 391178858, + 999604450, + 99821455, + 669502030, + 671713539, + 43271555, + 258296097, + 246353842, + 430770486, + 60303, + 223469743, + 159450586, + 27998647, + 338201520, + 795043157, + 247235419, + 268633373, + 612391187, + 181564339, + 52570901, + 236386178, + 863242103, + 7678825, + 473458473, + 318010217, + 906646618, + 879691340, + 966178235, + 75780991, + 370824841, + 116624861, + 576549259, + 944040769, + 986195432, + 824554420, + 679196196, + 799126052, + 587662237, + 561795735, + 42355331, + 108984884, + 407828316, + 465197912, + 966481559, + 893227525, + 6795154, + 746807368, + 956601637, + 842362556, + 788793565, + 825282315, + 294503251, + 66141413, + 501306726, + 554349921, + 378508021, + 67255273, + 409932925, + 132510741, + 839067377, + 544698248, + 425052546, + 454631494, + 253882207, + 282033677, + 473613276, + 409123796, + 212259467, + 219507552, + 432051513, + 134552237, + 782589502, + 104587457, + 805099852, + 621686092, + 307677090, + 149127423, + 738555759, + 37091998, + 326275650, + 383234334, + 806427721, + 751437504, + 438843618, + 520928746, + 911631242, + 202301160, + 861926799, + 326322946, + 499263980, + 828409281, + 599841411, + 867420740, + 925785656, + 28711916, + 906146755, + 649130256, + 874456776, + 617574247, + 516321250, + 971095261, + 103859731, + 197436243, + 690601790, + 777983924, + 831308642, + 499837113, + 342843208, + 866153407, + 32770461, + 215641641, + 71436856, + 581312876, + 146890445, + 383187688, + 273693177, + 724837601, + 551716450, + 494345814, + 39520618, + 680201151, + 762771021, + 956022376, + 929320618, + 509370460, + 498283605, + 160713860, + 191768148, + 586313956, + 654163874, + 79916786, + 772788632, + 422138495, + 907028585, + 733815728, + 920722380, + 914763921, + 868362416, + 148485132, + 903114571, + 798150975, + 67457889, + 646387851, + 99708242, + 632239330, + 278591696, + 179592392, + 184729438, + 287806359, + 407219041, + 784718253, + 69721491, + 930354925, + 895201432, + 687908854, + 836338718, + 589228052, + 300509746, + 494516678, + 206697133, + 378463131, + 490352449, + 693472309, + 409918506, + 220644021, + 828277036, + 173914740, + 204896122, + 606243202, + 40301597, + 153552096, + 974330964, + 660023490, + 716079297, + 815684250, + 103558465, + 982664142, + 258809696, + 152641969, + 202591601, + 163899103, + 994906817, + 585093459, + 683591612, + 201003775, + 497576039, + 262522396, + 37828791, + 277369834, + 900994408, + 506017878, + 844237799, + 723699604, + 233804001, + 899089482, + 466561118, + 528040275, + 288406710, + 836203606, + 785980489, + 628655494, + 43261734, + 207115046, + 696365649, + 705056529, + 683643403, + 641462721, + 371512969, + 834555095, + 201393204, + 879007237, + 618142198, + 549712120, + 458219540, + 717288811, + 34860271, + 822273050, + 227705657, + 525039836, + 859952718, + 254644020, + 947105971, + 142810503, + 446633396, + 780695772, + 731581263, + 623257091, + 312551899, + 233721043, + 93523055, + 437469135, + 378941459, + 160391489, + 196704840, + 77006501, + 709463535, + 419702806, + 437283271, + 295170512, + 614120860, + 936408982, + 347034594, + 93382315, + 695423766, + 270139380, + 252725, + 803344799, + 85225899, + 427296361, + 555323618, + 233133837, + 918619780, + 797357979, + 352315640, + 403758121, + 699335142, + 233637578, + 344511428, + 950881430, + 758192197, + 789669696, + 205468194, + 285105309, + 197163772, + 312368791, + 621913299, + 697228543, + 875245373, + 433117553, + 284384640, + 470179353, + 8444376, + 208744058, + 372707189, + 156194697, + 406743001, + 434400566, + 364687364, + 594968395, + 695397211, + 55948840, + 683344559, + 979069432, + 534293505, + 309084727, + 187051626, + 816628362, + 978579426, + 265658374, + 600880858, + 296245550, + 542424593, + 110739241, + 10276331, + 91621325, + 388370316, + 492914032, + 276802354, + 604366877, + 623452743, + 806858505, + 449146410, + 313894710, + 886503824, + 573383623, + 855827797, + 193668767, + 386068605, + 876146368, + 675023967, + 15696195, + 24256176, + 660023795, + 30181978, + 17584916, + 691445663, + 874281186, + 767821870, + 569342509, + 935431676, + 150373153, + 563667042, + 638663738, + 902389347, + 952013547, + 898338050, + 764972961, + 260241056, + 258424481, + 174044528, + 454714853, + 142911426, + 189317039, + 486892826, + 451274134, + 967532401, + 469461175, + 226186167, + 873568232, + 24899818, + 965102317, + 642284849, + 515462306, + 508830842, + 560504650, + 758749914, + 526600173, + 413889574, + 679064381, + 219209453, + 796923916, + 111804355, + 282087985, + 236881997, + 800834230, + 525042374, + 228058331, + 893366181, + 371136683, + 909719192, + 641056845, + 97410286, + 302853331, + 810993527, + 763514029, + 306961333, + 699679877, + 257896013, + 806565650, + 537709563, + 876754489, + 748334113, + 81995219, + 157881863, + 140842264, + 670282077, + 547985458, + 64513214, + 405928609, + 994525577, + 376947787, + 304233154, + 915511490, + 863968649, + 873667084, + 122461715, + 797712349, + 375774139, + 897830234, + 971416937, + 186664125, + 107717316, + 887630980, + 378935547, + 552317867, + 823875799, + 271799030, + 549100442, + 750932927, + 181122136, + 683205237, + 953835599, + 799411681, + 161647711, + 518973034, + 458722690, + 29111485, + 726813390, + 711840987, + 758857822, + 573611555, + 90038192, + 345107778, + 299452619, + 194944513, + 4666924, + 782941744, + 54925165, + 305996020, + 469147598, + 887746949, + 348483533, + 985127971, + 508548865, + 151477073, + 868536934, + 80821492, + 933206658, + 179469716, + 425829410, + 893897979, + 34667461, + 720672741, + 160143784, + 319860638, + 198799829, + 785290106, + 145639426, + 764012831, + 540715677, + 410956625, + 391885080, + 466611052, + 874019715, + 484318287, + 50294484, + 997290875, + 399313346, + 852020155, + 105152784, + 204170844, + 219260526, + 158512409, + 707395269, + 153696777, + 287569801, + 620145605, + 482753765, + 266302509, + 215680523, + 199117104, + 743997999, + 899779784, + 950991754, + 622097178, + 420341233, + 463516342, + 501647306, + 745975833, + 113018382, + 960022410, + 291602574, + 263962459, + 188116449, + 954094284, + 382849089, + 46590717, + 348069866, + 485389647, + 508458554, + 89525595, + 233652481, + 696516926, + 24321184, + 163872200, + 735951302, + 300226949, + 248741928, + 632317909, + 136282234, + 143719374, + 975195597, + 55208784, + 564752192, + 981124424, + 223828321, + 538830707, + 711313649, + 66974071, + 437098027, + 336175281, + 590238409, + 167356767, + 526276073, + 514768947, + 868519304, + 221412521, + 816670724, + 18801863, + 379524911, + 883331803, + 242017101, + 893190695, + 82237653, + 934864756, + 852672273, + 416459172, + 246374481, + 741868360, + 280981989, + 43715295, + 405549333, + 415067929, + 820035538, + 544928107, + 866603690, + 503156359, + 547226788, + 97248285, + 22159204, + 959837922, + 403646071, + 488036984, + 345874502, + 653887929, + 189576369, + 233490135, + 478231519, + 508179005, + 25340513, + 26478687, + 810417562, + 730620894, + 607298558, + 560947072, + 235915960, + 398674805, + 565106168, + 662628926, + 312399783, + 754856819, + 585232429, + 597194457, + 305675515, + 74459999, + 377900109, + 522643437, + 228637621, + 861375469, + 336670545, + 448349245, + 829531542, + 13531289, + 358909926, + 11563703, + 538337238, + 929960995, + 192173963, + 939460069, + 8389419, + 890620625, + 531532432, + 258499297, + 694712933, + 264653999, + 386159160, + 448095995, + 67838328, + 981277457, + 348170804, + 515999819, + 262238375, + 381082040, + 572959823, + 294562831, + 87770856, + 271361957, + 591427066, + 563210504, + 70251544, + 318825048, + 530836914, + 574371096, + 396777387, + 320126943, + 497018950, + 598846491, + 438541602, + 756191772, + 853387698, + 411348887, + 908007414, + 671603185, + 269756636, + 697390505, + 369766151, + 756858016, + 956197792, + 561950482, + 404392790, + 716221604, + 43246742, + 624350133, + 526883941, + 818821270, + 365755519, + 258826429, + 898101016, + 664534882, + 259303149, + 368628354, + 37404244, + 848104107, + 745110804, + 381716125, + 339951589, + 586708010, + 454065748, + 71316035, + 515206090, + 237836906, + 968014943, + 565825718, + 890667493, + 31226507, + 508594272, + 50955851, + 503890031, + 564294466, + 197712730, + 274175372, + 593339530, + 305436426, + 51776934, + 417045366, + 690567719, + 722347073, + 121887735, + 636846, + 512102589, + 718907937, + 160650633, + 414966735, + 574292294, + 260747385, + 191997848, + 470374250, + 946488980, + 641494831, + 56205254, + 932319973, + 887660777, + 958753808, + 442171022, + 589483473, + 725592812, + 244616412, + 117573291, + 647070249, + 565860621, + 858831203, + 553639809, + 56040835, + 118411056, + 164407534, + 322194030, + 419610972, + 666942108, + 25802237, + 221901613, + 39840244, + 786745379, + 676336474, + 939300035, + 334930840, + 121542381, + 690663717, + 191409310, + 283016110, + 795501849, + 282921733, + 362047173, + 377572928, + 378480347, + 316194427, + 633424204, + 249498490, + 249628144, + 895488240, + 141289038, + 272388798, + 39463673, + 45049505, + 376528305, + 210179894, + 4017612, + 765645235, + 204981814, + 135735651, + 571614673, + 113738763, + 990547483, + 157829164, + 118386828, + 341141042, + 354510356, + 394922004, + 449842189, + 871555953, + 699194617, + 670042312, + 447279936, + 582317882, + 1940768, + 98273502, + 776115414, + 78997919, + 190916599, + 802764879, + 553454346, + 103954446, + 835339133, + 878234966, + 854172638, + 310481275, + 566555306, + 4827650, + 254452092, + 829095682, + 858395929, + 998156182, + 414121733, + 576247307, + 981597730, + 865373827, + 490714776, + 496762144, + 491743134, + 177607724, + 630245385, + 893315060, + 732826454, + 488915486, + 533315707, + 135071200, + 136067571, + 919534489, + 542487929, + 706386933, + 590939102, + 237893857, + 132938132, + 107694361, + 328898991, + 121484995, + 277681880, + 107860831, + 336585002, + 586712386, + 273320974, + 162940780, + 159093931, + 210861603, + 390443515, + 174031772, + 947755415, + 528380380, + 600438489, + 470851073, + 22642529, + 584317181, + 77828744, + 992573789, + 501604831, + 626911249, + 794697508, + 525999330, + 422097790, + 7017574, + 449625986, + 100410684, + 416624579, + 545678797, + 1265032, + 903335123, + 249187808, + 68331025, + 385538065, + 831521089, + 93135389, + 687373064, + 806324465, + 890752633, + 63069127, + 999375199, + 222994774, + 703575047, + 866218339, + 511820586, + 183420397, + 158491556, + 272519360, + 224179399, + 537460989, + 159633697, + 747610142, + 392291181, + 499851857, + 800942699, + 94209326, + 538402059, + 86791634, + 199726542, + 496071039, + 952316915, + 911925699, + 180388437, + 561989133, + 389876895, + 754982287, + 554988352, + 561502683, + 404442959, + 185498990, + 902861475, + 235682024, + 875047597, + 353320622, + 276889634, + 753322412, + 686129529, + 817945105, + 428840147, + 469791041, + 71218325, + 329787101, + 875838129, + 824133780, + 831832514, + 379067057, + 526981431, + 226292434, + 809213613, + 222768309, + 431381502, + 400524577, + 202870433, + 845394727, + 259955145, + 187763726, + 465121830, + 346314649, + 320618507, + 665618727, + 599905082, + 754461801, + 405389186, + 857018504, + 889477477, + 651978919, + 209143232, + 569193395, + 98921660, + 361997820, + 616528367, + 855802305, + 153283187, + 237567371, + 751406283, + 593844100, + 345130588, + 599285003, + 129063650, + 113855211, + 72587103, + 590815347, + 640765707, + 421089207, + 164922934, + 385109240, + 287810894, + 168528536, + 404808336, + 486590084, + 696469943, + 608464094, + 74467210, + 838232319, + 539089408, + 396068999, + 915599626, + 362636577, + 841602591, + 580097173, + 280703823, + 278101088, + 404871083, + 914361822, + 137309648, + 268742932, + 884288832, + 43911715, + 789872596, + 892665295, + 250479643, + 577329952, + 576315413, + 506158942, + 108852218, + 504392083, + 405531695, + 534883148, + 392198980, + 882945432, + 509397114, + 471617656, + 790704890, + 411370532, + 114382991, + 372416505, + 368471305, + 226578505, + 27875610, + 53774096, + 494946819, + 50415946, + 75099234, + 269109491, + 846265466, + 861701084, + 116827553, + 346374561, + 361055818, + 895645402, + 934792876, + 850250270, + 694812370, + 787423986, + 433399809, + 245666961, + 766188603, + 23049881, + 955543901, + 905728306, + 462235474, + 82672144, + 480670745, + 741215897, + 199563051, + 385482569, + 298635756, + 851373061, + 829327678, + 189727707, + 128912617, + 963425809, + 110802210, + 990682153, + 474363121, + 871990026, + 340329925, + 482431799, + 399925325, + 255205448, + 342079157, + 715711859, + 39847254, + 904088100, + 982786021, + 478186541, + 587438430, + 330764922, + 505339093, + 860935445, + 135183198, + 769135979, + 290394826, + 389008135, + 43429799, + 982628510, + 318762927, + 500314578, + 937054149, + 487902775, + 121372993, + 13709225, + 392449771, + 162464475, + 566184074, + 531267749, + 301477215, + 624785468, + 389341419, + 385435134, + 227322135, + 801781926, + 188104232, + 283196615, + 160365113, + 581056190, + 317857363, + 865785190, + 937913028, + 126940639, + 560715083, + 826826858, + 696527655, + 228660818, + 341330262, + 490264674, + 99035217, + 956769417, + 43415017, + 626974220, + 484739338, + 398044696, + 629066880, + 511035683, + 917652682, + 816666236, + 738289452, + 562023190, + 763721953, + 811347185, + 872413421, + 298962947, + 683302008, + 806492002, + 311288274, + 758878112, + 781642740, + 546929653, + 86838099, + 347954160, + 410800277, + 708019071, + 428796195, + 240381087, + 111249697, + 470521723, + 878004287, + 749893101, + 926115153, + 766918872, + 313384902, + 282514125, + 693559512, + 410619175, + 550574002, + 407264197, + 842111779, + 659304626, + 408802622, + 365498663, + 789707351, + 889638136, + 334285344, + 494976651, + 968668286, + 954846953, + 368720128, + 760936126, + 831181971, + 552170313, + 412087386, + 572626412, + 143030824, + 786996318, + 749700913, + 762341634, + 114337125, + 628008929, + 929185922, + 934028724, + 491686710, + 771401120, + 325826225, + 202348777, + 615107456, + 273284693, + 600543652, + 50752360, + 126805969, + 614737460, + 636765451, + 647109158, + 94437640, + 788397681, + 284207207, + 382573419, + 929742652, + 175298806, + 716723880, + 108141843, + 166305017, + 616313653, + 74722255, + 555618663, + 518007720, + 586481551, + 651507213, + 488005339, + 620294443, + 717100095, + 9717322, + 357740149, + 671767197, + 910916252, + 424069911, + 599048828, + 869717096, + 529228725, + 469225815, + 515460374, + 594338267, + 520333183, + 541090644, + 912264580, + 904337760, + 231987686, + 862786820, + 802363828, + 537763354, + 858161862, + 792479596, + 852123267, + 859618453, + 578460562, + 215256569, + 985573552, + 967853472, + 646617428, + 91309097, + 862662274, + 110458276, + 662116844, + 693710585, + 168520340, + 432655071, + 932398443, + 976468558, + 68592319, + 721838937, + 730171891, + 248385497, + 708534510, + 163710167, + 292095449, + 650717376, + 384781381, + 743704575, + 967799158, + 323357458, + 682193918, + 274946255, + 995632778, + 269137745, + 690331831, + 359002061, + 938163282, + 700167185, + 441672117, + 106606811, + 599862772, + 634798515, + 994372954, + 663848195, + 594144281, + 927632734, + 551702665, + 329759823, + 490147282, + 859850790, + 760227946, + 453739783, + 543959965, + 579362595, + 823994490, + 722053778, + 677036864, + 449909459, + 495166545, + 730780537, + 155549731, + 335369447, + 570066131, + 704098367, + 285469967, + 987132026, + 559732429, + 540410959, + 159228312, + 565909814, + 895746125, + 770040567, + 197382773, + 78676379, + 953438936, + 603004260, + 500936672, + 218021666, + 108803126, + 962280751, + 493199984, + 275799633, + 655325422, + 117544957, + 67882297, + 832840614, + 895904863, + 161439503, + 193914677, + 999811802, + 271184450, + 223965536, + 321557566, + 604804816, + 464713825, + 416286916, + 717398357, + 708059032, + 592207029, + 140214521, + 941799187, + 319151700, + 15291444, + 847182472, + 417155278, + 863201543, + 587064960, + 238506183, + 836526635, + 249795870, + 81061827, + 272359471, + 545600756, + 371697085, + 763755565, + 232618784, + 426640390, + 402728803, + 226944363, + 70831802, + 82494286, + 47171629, + 763751272, + 877549282, + 305117867, + 138828288, + 755795023, + 289702146, + 678986457, + 871810178, + 67193163, + 120052191, + 954786038, + 747466406, + 370056051, + 316177627, + 678620700, + 479497118, + 251778792, + 151857509, + 7077282, + 804770544, + 12116986, + 303816762, + 783125253, + 350517603, + 46967405, + 724105147, + 547380804, + 666863832, + 807569095, + 40346021, + 800106796, + 661559140, + 665173898, + 280463093, + 31074576, + 322138290, + 599321817, + 725887140, + 243145555, + 760727039, + 915643557, + 747028016, + 361042556, + 894809813, + 577086541, + 989451413, + 84956926, + 38888761, + 665232001, + 904241394, + 931570960, + 258546120, + 53961456, + 635979889, + 345007332, + 797931551, + 918889723, + 728512363, + 27100800, + 303917354, + 62805133, + 654051042, + 655533258, + 645278238, + 724238932, + 589514164, + 805328818, + 158784661, + 125486099, + 219091020, + 304643090, + 420468971, + 757453148, + 560259634, + 727239974, + 903087849, + 699986947, + 675949719, + 935997518, + 582924635, + 336469611, + 614097112, + 942252990, + 199221366, + 831072648, + 587643128, + 385735445, + 168142593, + 556922810, + 417405662, + 329065738, + 163026156, + 840396234, + 607539188, + 374843690, + 669697568, + 316305352, + 605653073, + 472444499, + 799289649, + 5532541, + 650266281, + 908555849, + 933138546, + 860990846, + 623466296, + 109796920, + 584498060, + 350025516, + 838413983, + 56579103, + 434796545, + 696928870, + 174463777, + 102883399, + 641519407, + 344379012, + 227243608, + 885650530, + 984889845, + 872409764, + 122494110, + 181658728, + 589283123, + 35057101, + 47380874, + 721999086, + 457605499, + 124243585, + 41419963, + 59663770, + 874399262, + 367747447, + 928452355, + 842944276, + 508718153, + 121126902, + 46827602, + 515091845, + 221428344, + 481888470, + 567414921, + 473194436, + 209389437, + 228873364, + 321061797, + 841760778, + 985486962, + 405734041, + 315771199, + 451485835, + 314407439, + 379378607, + 389414735, + 287736463, + 449313374, + 140468628, + 388856224, + 956381493, + 718303417, + 58484561, + 602398830, + 664838024, + 686643003, + 613603750, + 416297718, + 281437202, + 283723289, + 993700708, + 446290658, + 177070294, + 465380303, + 20893500, + 263180947, + 586100343, + 641350356, + 568064335, + 430067240, + 814200544, + 3567442, + 678205760, + 963812405, + 5454662, + 882118012, + 989033018, + 232020473, + 802258265, + 616794291, + 75840527, + 446564186, + 60370171, + 377084395, + 45837857, + 254027712, + 863258937, + 633787774, + 843307359, + 901566376, + 458479242, + 908727799, + 111114474, + 79109951, + 937722111, + 489669138, + 457376752, + 355603028, + 739521490, + 458955330, + 810060311, + 257754372, + 283208811, + 932651230, + 969919994, + 659432050, + 227733030, + 374222468, + 460275823, + 969601145, + 462016313, + 503905488, + 206081523, + 783051750, + 972220761, + 384399402, + 709208064, + 882127022, + 539417312, + 660275008, + 843606073, + 753053480, + 613537001, + 635216179, + 160997453, + 131114301, + 471532844, + 20051654, + 632054216, + 119474483, + 739361674, + 387434727, + 388506446, + 720667059, + 542357321, + 30562057, + 254434164, + 507337002, + 293416315, + 113940441, + 333855272, + 838517635, + 236620935, + 986007058, + 438968291, + 537442288, + 639470852, + 871837629, + 316479540, + 46933564, + 35774178, + 129419506, + 201279556, + 821381798, + 778839415, + 886105382, + 344307782, + 873550367, + 588711921, + 776177207, + 573848830, + 282660687, + 580938295, + 581281942, + 667751962, + 690934143, + 346412941, + 101867075, + 372732157, + 699646389, + 323269763, + 314915448, + 466933915, + 284770712, + 671865971, + 955139052, + 760113685, + 884388647, + 100895882, + 915695156, + 468675065, + 540590271, + 290183982, + 815685406, + 160613378, + 355143423, + 313432517, + 857543316, + 462823962, + 734821719, + 497243277, + 29162460, + 825376784, + 782906448, + 406882721, + 908727777, + 407875032, + 60288004, + 232623240, + 734861264, + 663842988, + 470879842, + 507767374, + 775478191, + 75193663, + 155859958, + 915445869, + 707415831, + 261309633, + 622736095, + 893809054, + 576939527, + 351804799, + 648225574, + 501509789, + 815979444, + 766622992, + 153700874, + 395358500, + 713865332, + 581210797, + 481445631, + 549835015, + 301304300, + 291888950, + 747924108, + 410371589, + 985582887, + 571929626, + 551675702, + 956029061, + 82402804, + 104893878, + 66460170, + 145996633, + 653756537, + 76854097, + 522675148, + 857601709, + 315350935, + 609872790, + 743056100, + 10290668, + 850978662, + 646002570, + 942132543, + 457137174, + 953034925, + 626565588, + 956796768, + 168671130, + 618518818, + 482762276, + 756169102, + 773830852, + 564770931, + 156236886, + 913541838, + 198264906, + 261270788, + 700151910, + 982850738, + 807514705, + 642484888, + 268814421, + 973890390, + 332393578, + 256226335, + 548032193, + 746276232, + 14965220, + 449203065, + 475591467, + 450927734, + 402836993, + 966379948, + 487886229, + 565109301, + 109377857, + 330244610, + 483285356, + 675611747, + 149415529, + 587796778, + 558422809, + 460546550, + 482836461, + 692763117, + 368508689, + 388202470, + 60954542, + 808758825, + 562888743, + 572765398, + 733029857, + 861904455, + 239842326, + 667100302, + 193139094, + 842664278, + 496588707, + 442737485, + 865708308, + 240037998, + 339091539, + 644030248, + 217276417, + 547790371, + 777551319, + 871591325, + 699568382, + 256522539, + 363115456, + 578090236, + 20691150, + 54493771, + 509875932, + 832788116, + 83775256, + 95923646, + 581934307, + 137616677, + 231504737, + 957746752, + 29436027, + 59584405, + 451413067, + 54874763, + 816668805, + 671229567, + 930790237, + 159583389, + 251518215, + 25264721, + 196288042, + 852221960, + 119796398, + 784199117, + 157766725, + 376689328, + 63975925, + 653565846, + 275071181, + 320602829, + 724419619, + 242348220, + 942058090, + 234941555, + 699563922, + 722092216, + 389102861, + 996276086, + 651949173, + 939328987, + 266073259, + 929687564, + 337930201, + 321325573, + 559323711, + 686055839, + 768403546, + 743141393, + 453550650, + 394859039, + 379778228, + 738944807, + 748783687, + 980799175, + 652027468, + 659289120, + 137657, + 216327066, + 64573497, + 480953810, + 24610623, + 75075422, + 423231718, + 429223716, + 102480287, + 623920276, + 50111737, + 188594822, + 60370349, + 278101133, + 263020853, + 305671423, + 470437590, + 862999123, + 208103445, + 810865801, + 708568586, + 191082083, + 391324720, + 478227104, + 723267228, + 684975202, + 125713971, + 904206207, + 192777025, + 966349701, + 72157773, + 660603727, + 777805510, + 408625874, + 663706244, + 817508868, + 34901011, + 398931444, + 218679528, + 658381318, + 366280942, + 858991986, + 936707950, + 558481535, + 985562464, + 549532782, + 385267796, + 293846877, + 457953406, + 938874690, + 437185270, + 797469272, + 887022183, + 252894543, + 88926513, + 170406627, + 735104856, + 512459895, + 208178933, + 871797316, + 473165858, + 301399145, + 209816870, + 598145315, + 309718012, + 796305091, + 498066683, + 17825754, + 550528081, + 621451166, + 649476299, + 355783481, + 741641622, + 759341721, + 433099985, + 501565184, + 88932769, + 649961467, + 974813613, + 675047827, + 116031492, + 32019323, + 767376963, + 86999109, + 19121768, + 474828967, + 358541041, + 943322613, + 982108093, + 708909189, + 835302523, + 726689511, + 999142504, + 534362710, + 316045480, + 34619127, + 575619520, + 76263275, + 969949501, + 114708174, + 540281884, + 622786878, + 957492434, + 350849804, + 179298647, + 313241771, + 162586442, + 142158064, + 514242080, + 868230450, + 820659724, + 857540468, + 785191701, + 362891153, + 486150784, + 777170000, + 492026078, + 798039520, + 185769037, + 753102021, + 853606422, + 427625100, + 639257235, + 535604816, + 995321504, + 262393481, + 815388674, + 422697295, + 48147555, + 676761599, + 154286519, + 48577932, + 815833710, + 884125321, + 632970074, + 894235738, + 362576464, + 159328838, + 35430185, + 729499639, + 436266769, + 776649271, + 120118498, + 570513597, + 701421691, + 115980820, + 71416763, + 579528587, + 987804530, + 484822013, + 243444711, + 880587221, + 922859164, + 884909783, + 851959317, + 29399536, + 369343603, + 505732731, + 916593763, + 510131119, + 540801054, + 653184030, + 187753011, + 928711041, + 709847553, + 506088485, + 782679315, + 522839078, + 418168965, + 709002609, + 90270500, + 248660466, + 560190737, + 32571711, + 230044390, + 932438923, + 976817630, + 939838531, + 544197230, + 775711724, + 333606106, + 671129638, + 597233748, + 883892508, + 669845183, + 261336736, + 922978719, + 795998337, + 50608423, + 246799393, + 624467322, + 59178255, + 24046132, + 703440979, + 712409682, + 85546089, + 852088556, + 42170354, + 948651642, + 984162856, + 237823862, + 421154555, + 199897334, + 558134773, + 607149313, + 638523761, + 833666516, + 991948550, + 249494963, + 757449586, + 442347429, + 76119307, + 390260552, + 884504379, + 392681516, + 166416488, + 649194582, + 218541808, + 271187088, + 383291635, + 796279794, + 274196696, + 684405333, + 548472713, + 906051184, + 751054300, + 485586257, + 144386271, + 888344929, + 74748512, + 447809936, + 583446762, + 19581893, + 894152515, + 390460861, + 488528169, + 652798618, + 14444536, + 175632075, + 987455175, + 295097537, + 973540034, + 460323872, + 105249470, + 649043995, + 776676652, + 282150216, + 714310662, + 718779979, + 398223952, + 299198175, + 328991635, + 36393279, + 340221541, + 827920729, + 457381378, + 684680628, + 929119244, + 22354383, + 789137600, + 650408687, + 444549636, + 553665248, + 582612189, + 555590739, + 212253201, + 965989973, + 594239168, + 253608745, + 995768864, + 457435154, + 543035078, + 2248885, + 654759280, + 834849662, + 309274846, + 530083128, + 366691311, + 660961255, + 58619697, + 728295044, + 587707606, + 102357175, + 310094318, + 288080786, + 321338701, + 1182051, + 220156242, + 328295173, + 592034956, + 901287287, + 747865792, + 188106321, + 589912844, + 852171067, + 740059286, + 357949380, + 384644691, + 588978300, + 523094135, + 217788490, + 89494962, + 180234948, + 736656731, + 318943299, + 160499898, + 291398476, + 922693216, + 777437558, + 624086432, + 148456182, + 830642854, + 251624795, + 423970932, + 202949644, + 491732252, + 565132469, + 456316311, + 27294474, + 10035858, + 53525883, + 451859416, + 643412752, + 733328874, + 969411146, + 822300500, + 762025683, + 207013906, + 770417506, + 488161061, + 463677463, + 322997933, + 315725620, + 319380490, + 85540312, + 434546554, + 387080446, + 197991575, + 300705099, + 419718760, + 40408396, + 478262670, + 871427645, + 310941319, + 648344704, + 891769098, + 237210541, + 144998535, + 650827289, + 24862955, + 856412834, + 484581405, + 770849262, + 607348091, + 844430826, + 115986906, + 425338034, + 674728775, + 778769777, + 991953447, + 783732657, + 982255925, + 836946564, + 681235788, + 798397769, + 363445362, + 925820880, + 894609452, + 131751947, + 918886485, + 167128016, + 776091654, + 902179214, + 670994100, + 889968414, + 970130491, + 862844392, + 934921294, + 290641727, + 263990486, + 2864898, + 149750784, + 876099263, + 128683527, + 886820246, + 239679034, + 949634624, + 621345277, + 818023832, + 990247814, + 435235006, + 48977319, + 453399809, + 750024669, + 285359138, + 114144531, + 807555322, + 809491321, + 162756319, + 52291363, + 934341339, + 207246222, + 118035422, + 171790607, + 857212698, + 24839663, + 499620264, + 578997501, + 345718438, + 205937020, + 82673247, + 453471154, + 231577118, + 303131208, + 39853326, + 518260968, + 569328908, + 63496602, + 488358763, + 910109771, + 21360296, + 558002536, + 704131473, + 697249226, + 711301632, + 129597963, + 388615960, + 943869557, + 143350160, + 988547273, + 676227895, + 845462245, + 886626767, + 528137195, + 513788313, + 668898292, + 269084948, + 551154063, + 807788613, + 26103586, + 310426727, + 311339013, + 834380238, + 154493386, + 483695126, + 289318437, + 586280190, + 26548261, + 7283416, + 89245440, + 360280220, + 952577866, + 816747470, + 557028923, + 802131872, + 508060257, + 620521231, + 474537912, + 744825374, + 69604801, + 308525730, + 84695174, + 591867610, + 120212845, + 175611464, + 231751606, + 446624590, + 845826964, + 430374047, + 527783653, + 969359864, + 64822786, + 841062228, + 316631041, + 826138528, + 852049229, + 412712052, + 561206530, + 121570441, + 444847715, + 840493482, + 709945745, + 848677410, + 245960863, + 479574179, + 472697818, + 715320524, + 697320624, + 720393157, + 747239366, + 729294919, + 924468096, + 295101091, + 652083784, + 885843515, + 13371458, + 148593491, + 205359243, + 734589082, + 59728493, + 884680624, + 18457062, + 822863653, + 507946405, + 973450327, + 773557980, + 496486605, + 255558398, + 706776931, + 145377721, + 406410711, + 79570497, + 939529110, + 306324733, + 486148326, + 86785080, + 476541897, + 653840476, + 757250851, + 67489028, + 126182943, + 69140492, + 29574647, + 949491848, + 252625109, + 73599928, + 672348729, + 149095247, + 571889151, + 489380583, + 826090102, + 851865426, + 848630840, + 831143770, + 927940860, + 619503143, + 129907681, + 772739462, + 794501576, + 31304554, + 311155653, + 332351895, + 333654826, + 116503577, + 73710831, + 417918694, + 368975389, + 133068778, + 354758169, + 248430663, + 15843119, + 336985152, + 295584574, + 600987564, + 636887706, + 838429041, + 188235390, + 324880755, + 388380709, + 336657773, + 879941224, + 848384691, + 36146591, + 600276757, + 728053496, + 707376712, + 111507621, + 650811524, + 575452974, + 152463533, + 490815455, + 416086578, + 168615573, + 481769626, + 952616323, + 471489029, + 735902093, + 470005652, + 652087958, + 579245266, + 616320015, + 704325889, + 969504370, + 914774334, + 503395228, + 718377621, + 800321314, + 662138244, + 6305005, + 530296332, + 981461091, + 549347225, + 599600263, + 388860091, + 186879757, + 438495100, + 617857424, + 385653770, + 90478742, + 671507059, + 254842250, + 135901418, + 733491512, + 150922238, + 379157592, + 799451221, + 233502622, + 625804484, + 466305954, + 377490104, + 688288485, + 273241383, + 309478424, + 835594738, + 720842300, + 982357554, + 115656373, + 834676933, + 430478248, + 503143171, + 173238472, + 427571859, + 921830248, + 137338547, + 821487827, + 201615458, + 886867187, + 793265870, + 367463903, + 984268128, + 298311787, + 933911332, + 565413266, + 268896445, + 839990026, + 666091212, + 881359265, + 580118873, + 678283023, + 842096409, + 170481283, + 140151982, + 488301253, + 79449612, + 456525577, + 600833054, + 468411945, + 736193161, + 204745685, + 37032092, + 370242281, + 13723900, + 706597542, + 366170135, + 553449206, + 569296242, + 123730591, + 374694847, + 699909675, + 288651045, + 603067735, + 738244691, + 508276561, + 174868985, + 490936549, + 633658369, + 463863416, + 557658950, + 170838087, + 682390346, + 808653635, + 943357045, + 550973281, + 216486041, + 225356018, + 509775253, + 289879348, + 301573230, + 959442725, + 97256980, + 142519622, + 182283062, + 9566189, + 200082690, + 866306861, + 752394944, + 759729168, + 980275533, + 420244172, + 238861132, + 906712901, + 295687898, + 404613276, + 427586780, + 381750141, + 862864683, + 1297251, + 692368336, + 331106344, + 850796084, + 299866963, + 523052043, + 429288334, + 25186276, + 356164021, + 728677867, + 170361583, + 672968286, + 575731929, + 651875664, + 309149936, + 925208609, + 262290293, + 932961282, + 982315072, + 360354091, + 299742556, + 329332864, + 999362836, + 28981786, + 194400579, + 772952052, + 470546122, + 537154999, + 169370061, + 229859370, + 965311921, + 193023775, + 742834672, + 530940332, + 421685641, + 381773403, + 232062151, + 335332054, + 892876981, + 760258017, + 85394643, + 4113555, + 464698385, + 596152962, + 71958802, + 788346187, + 454850605, + 120047356, + 516416623, + 999972, + 895426000, + 728187299, + 406064332, + 782153642, + 893692752, + 594531964, + 563093747, + 998362760, + 2470949, + 745610253, + 371912117, + 864002068, + 336961344, + 667200436, + 887467851, + 596158984, + 710380000, + 705716631, + 400482622, + 88539067, + 316535414, + 348370305, + 688635391, + 589424065, + 608234029, + 859934335, + 388684826, + 102248102, + 578087852, + 493001442, + 828276357, + 687740139, + 222207346, + 508622193, + 881707278, + 728572102, + 175115485, + 815903101, + 979166259, + 882084880, + 181803828, + 848406949, + 754930462, + 284981828, + 637872412, + 927494091, + 810928174, + 488106964, + 842874688, + 950530136, + 663699859, + 136630003, + 512462453, + 57083877, + 794411550, + 128563213, + 232761918, + 342805214, + 266664459, + 944621031, + 144624113, + 616825274, + 819704090, + 110505496, + 327014583, + 188440279, + 952664801, + 400320523, + 964563963, + 873409756, + 146866028, + 828094442, + 768323002, + 857632658, + 161127238, + 315726244, + 876211356, + 22685653, + 996418457, + 326989922, + 640691378, + 217881742, + 799952346, + 969841960, + 13203400, + 396902194, + 173428387, + 214927456, + 368687246, + 933091033, + 162047364, + 888555110, + 268534779, + 628182257, + 275119034, + 712025845, + 924630465, + 680414136, + 50237978, + 82220767, + 680036585, + 344010712, + 809251897, + 708560156, + 638102011, + 197079394, + 911366089, + 253657728, + 986003455, + 796774641, + 246833453, + 948657485, + 301873356, + 945127344, + 13951295, + 513744554, + 798339102, + 741189932, + 535287569, + 613469297, + 253605547, + 1800560, + 520562570, + 277329926, + 589477608, + 455945981, + 710430285, + 582489850, + 281384298, + 503497045, + 511891915, + 327161488, + 815717416, + 152401285, + 286784010, + 905234567, + 203714002, + 196367122, + 711385025, + 381521303, + 212867426, + 808606469, + 201490735, + 571210428, + 411262499, + 487552031, + 472149612, + 303203536, + 941803373, + 782042650, + 730217815, + 873280843, + 704363366, + 274999822, + 741983096, + 81083702, + 612976873, + 662209987, + 755129588, + 747170078, + 958476579, + 573875679, + 158311987, + 923340080, + 591023194, + 125553023, + 669213501, + 675141580, + 358827979, + 810069312, + 398593225, + 214054304, + 97179496, + 402183501, + 704891888, + 408470632, + 62893040, + 850751525, + 699273128, + 638930668, + 777603883, + 178499229, + 548549432, + 863950270, + 113794654, + 54988280, + 904685702, + 553679790, + 187502790, + 168858834, + 458023718, + 268917259, + 187500090, + 449289589, + 662285318, + 596185633, + 838091909, + 913938334, + 254746751, + 693613635, + 216642677, + 822697343, + 845363251, + 495885321, + 601677789, + 839062432, + 529507783, + 64434825, + 124296920, + 987029009, + 680068745, + 127374444, + 118834555, + 2863136, + 661605656, + 303973869, + 290671081, + 268081302, + 191082244, + 105040655, + 221594662, + 852198801, + 990747204, + 350369744, + 865784729, + 92617364, + 189209287, + 877466513, + 464106106, + 837478816, + 314890040, + 99640989, + 599094142, + 532323373, + 141007793, + 494106325, + 314313824, + 494957658, + 610530720, + 445565194, + 977675134, + 4162831, + 690435067, + 304133372, + 310901006, + 295135660, + 509659227, + 76544957, + 292505392, + 268905771, + 94637348, + 2141479, + 591349, + 999751743, + 50435268, + 438766902, + 319327131, + 943603117, + 945932314, + 851492293, + 353266066, + 921916622, + 34607418, + 535111543, + 779045629, + 939234255, + 704958178, + 152340085, + 803905944, + 851486590, + 764036824, + 335530310, + 141690159, + 57300842, + 978841652, + 654983930, + 577948888, + 902078083, + 11946615, + 645331410, + 673198746, + 1335135, + 929713321, + 124805759, + 781712942, + 801702334, + 60398301, + 295550045, + 808315346, + 712263022, + 893729223, + 156088814, + 896992956, + 445648173, + 281250759, + 68744316, + 111605468, + 2694717, + 811568672, + 308290290, + 667784634, + 790379514, + 893833336, + 304567376, + 546724975, + 930197338, + 188093331, + 865622934, + 437728777, + 738051237, + 949881258, + 582849525, + 421634580, + 358930384, + 433522582, + 997444807, + 835962371, + 80001165, + 703265196, + 313693843, + 883368708, + 687318883, + 350812536, + 59419419, + 319853683, + 883314210, + 730431335, + 431816450, + 654909009, + 180773041, + 817249814, + 591226173, + 817098197, + 642037801, + 164700715, + 903855940, + 110382893, + 764489475, + 786116710, + 904138969, + 684286306, + 70076604, + 688581605, + 726297464, + 875997579, + 607050254, + 988457175, + 346361738, + 94055062, + 301162263, + 468770888, + 619303949, + 924804096, + 795592534, + 472202399, + 90961313, + 862543137, + 950915502, + 702164228, + 31069988, + 501982936, + 576484821, + 123640743, + 57857243, + 760091545, + 365487923, + 131861923, + 945679602, + 968529643, + 515842042, + 143240508, + 66563648, + 468839898, + 614832714, + 379845205, + 91238117, + 20445027, + 762640657, + 214381176, + 793464743, + 326816402, + 517970761, + 86736295, + 495731745, + 256670885, + 214985148, + 644645537, + 900415129, + 833914612, + 367176694, + 990901929, + 617592137, + 373887206, + 73800046, + 787723641, + 530025531, + 303535023, + 500286414, + 183716150, + 575715844, + 216829638, + 579272370, + 772185652, + 465263202, + 183765672, + 635682593, + 637777438, + 992250701, + 365940458, + 924368015, + 368262148, + 528051475, + 235237149, + 81920684, + 359616699, + 158143666, + 716277680, + 646724350, + 976010441, + 999016025, + 758331349, + 873601511, + 616385299, + 576177104, + 716411532, + 404772990, + 123753160, + 206365718, + 556683294, + 38244380, + 228998209, + 361418778, + 918986179, + 619334480, + 618354149, + 53220092, + 687276283, + 665548534, + 409701167, + 460966019, + 728043238, + 544502818, + 235621922, + 974329286, + 20768706, + 182976962, + 427180766, + 533108884, + 104547960, + 159552897, + 416392405, + 887195713, + 782476209, + 815802159, + 128584236, + 120446613, + 656565750, + 308140529, + 80421937, + 538256581, + 400067688, + 586391470, + 709818641, + 175442272, + 776423691, + 160106332, + 52141345, + 187462193, + 465280658, + 240836361, + 953256800, + 115517311, + 650268836, + 211828638, + 581591878, + 448597769, + 653030367, + 113127542, + 136099181, + 935743748, + 785003456, + 671853642, + 314127157, + 347543101, + 485539181, + 337266127, + 137005206, + 262483544, + 89957397, + 956274660, + 489851308, + 509217124, + 699870532, + 722504877, + 687288149, + 80958156, + 923593965, + 218068021, + 779683339, + 40191735, + 904853798, + 64763288, + 406745783, + 149493121, + 640487989, + 560485689, + 776971579, + 260949072, + 312976058, + 797959177, + 926147519, + 552226611, + 840171430, + 269432475, + 803629266, + 424979420, + 626903683, + 28257564, + 449393180, + 944641834, + 559936177, + 678731006, + 184083533, + 878856587, + 269480454, + 200299500, + 667373228, + 924250489, + 665721615, + 960238012, + 6727635, + 379260533, + 572573842, + 385211721, + 475175265, + 497021086, + 358215404, + 817942701, + 929188049, + 503698688, + 146232100, + 576432156, + 410889648, + 112733364, + 356303678, + 842731274, + 814370712, + 160788762, + 126499371, + 939376998, + 659977549, + 402128272, + 607092080, + 434298277, + 967084681, + 352728549, + 758358634, + 776552580, + 755540341, + 567726687, + 530108302, + 146170195, + 874700841, + 121065119, + 68045983, + 421747073, + 583020202, + 917379575, + 97835452, + 181505544, + 499338528, + 243817826, + 948719477, + 555265455, + 553672009, + 200744656, + 51474650, + 328683421, + 629523782, + 785899411, + 168351678, + 668699603, + 831769140, + 17817315, + 425505758, + 193139191, + 598521512, + 848386535, + 199706918, + 304962698, + 941580207, + 735919415, + 972257645, + 100240947, + 508565612, + 278143450, + 705328572, + 665316131, + 276050948, + 588010910, + 469642376, + 341002875, + 484688645, + 962061392, + 583830187, + 309310593, + 926272169, + 428866272, + 354652023, + 3942377, + 836012099, + 842534737, + 579243385, + 101811970, + 675727877, + 194676691, + 713007107, + 633957873, + 528418921, + 11853540, + 74639221, + 762966141, + 952860996, + 948616442, + 235546288, + 21619697, + 417013153, + 214490225, + 799646544, + 574538880, + 64608604, + 620334747, + 313074201, + 827563971, + 285238441, + 967787908, + 834579147, + 483507992, + 548511006, + 365595377, + 897113666, + 681185187, + 419441343, + 481039056, + 701515035, + 47359321, + 711188860, + 771636380, + 19611126, + 171606143, + 964319888, + 502443315, + 85594931, + 666389196, + 930019124, + 288342833, + 280348017, + 364967058, + 1114430, + 975099259, + 157220170, + 679655924, + 242877600, + 575757289, + 919657510, + 744878398, + 355892191, + 18217738, + 903011018, + 792775856, + 881706992, + 423320604, + 794069670, + 22744826, + 317460690, + 88979808, + 510574340, + 283456524, + 708836627, + 377388551, + 823555837, + 404458093, + 670189368, + 217893605, + 517860330, + 644814471, + 193938569, + 861430452, + 7541238, + 352149717, + 460773988, + 970420740, + 126404776, + 274799131, + 597160490, + 469110459, + 191452113, + 41674181, + 665876165, + 468257306, + 367842477, + 77877011, + 766812461, + 597496308, + 227052279, + 791398668, + 941197176, + 166215242, + 943538232, + 150425716, + 794878484, + 83852550, + 76248764, + 820932037, + 822283190, + 720308108, + 963179387, + 379901064, + 204021943, + 955364626, + 708629417, + 601716868, + 945633726, + 839883133, + 519892166, + 86541654, + 903686202, + 849233582, + 671085109, + 772010318, + 674261714, + 832231313, + 352999885, + 364959731, + 467354166, + 502094587, + 969322994, + 25040656, + 81269788, + 421601736, + 536289868, + 403165159, + 633125706, + 66191573, + 436375500, + 384762019, + 8921969, + 672114493, + 309651440, + 264117317, + 196012653, + 229300836, + 419090827, + 928629685, + 620488182, + 154509852, + 212913607, + 282020715, + 816040296, + 23919458, + 332585290, + 39807784, + 421912483, + 919148346, + 114382555, + 760429159, + 608556106, + 272592431, + 9053834, + 525518991, + 810500871, + 793745584, + 167857753, + 57890245, + 271774821, + 586873049, + 348538384, + 501250451, + 800425893, + 673200903, + 908156854, + 15077525, + 577253498, + 912815107, + 38719967, + 689821603, + 840208776, + 83744557, + 12746769, + 854356059, + 12181646, + 858503027, + 203999927, + 668765690, + 878500513, + 514946667, + 876769137, + 462915843, + 920628539, + 490646110, + 617220827, + 353842501, + 797121190, + 616024083, + 317078773, + 243343900, + 433201206, + 465311347, + 71422699, + 621646320, + 620977751, + 256953687, + 768171628, + 647404300, + 536760161, + 590991802, + 121997223, + 991614184, + 923935749, + 403638127, + 355119757, + 252331200, + 434433516, + 212430714, + 322897592, + 611649303, + 798782990, + 701933181, + 155253372, + 804778446, + 486095096, + 508308132, + 185516057, + 82078922, + 531829953, + 922361573, + 561752341, + 53546122, + 882329757, + 229680135, + 100915974, + 180043077, + 734747946, + 4649066, + 837110082, + 151157004, + 160569416, + 77680700, + 191945275, + 636200935, + 746366588, + 984738294, + 959655455, + 767135935, + 128813184, + 721623948, + 371194415, + 917347567, + 525631953, + 52106338, + 765163843, + 192607547, + 913379742, + 962891345, + 187127876, + 893368590, + 735274037, + 445718245, + 623538902, + 824274989, + 458367351, + 831845406, + 239866828, + 61216781, + 740792994, + 552661556, + 251975811, + 977836669, + 198953679, + 657600918, + 351028560, + 725906670, + 330646327, + 965458296, + 246360167, + 430574159, + 791465144, + 56784092, + 102906328, + 912843226, + 733180937, + 753327985, + 772302032, + 95114603, + 450698020, + 144309864, + 614947917, + 384920064, + 781898902, + 468321491, + 746076617, + 109265572, + 773188399, + 788684627, + 268094882, + 200107432, + 460856640, + 441692513, + 891622547, + 259011624, + 509212290, + 197603734, + 174132604, + 345871572, + 981277905, + 296265665, + 668984997, + 369997733, + 490771800, + 859426004, + 954629915, + 70508933, + 392742724, + 669046615, + 575801843, + 943982442, + 351252792, + 125208151, + 199434927, + 649343486, + 354794837, + 630252174, + 213508909, + 414154929, + 228136371, + 747422508, + 777271407, + 231117820, + 138080547, + 241423211, + 24660981, + 382456876, + 369990211, + 257661449, + 125358109, + 67859854, + 795970385, + 550974713, + 188650784, + 763747994, + 120651132, + 752872598, + 137262124, + 347455152, + 934836254, + 734641298, + 723195800, + 874312962, + 40452319, + 750784029, + 40417494, + 133686508, + 255699889, + 166405532, + 152678625, + 303370737, + 621360569, + 262871481, + 954522004, + 958894350, + 453734831, + 858477364, + 163704476, + 276040863, + 708844007, + 261808036, + 757747159, + 865376469, + 571839548, + 786741102, + 138216288, + 488206849, + 836952556, + 331226441, + 597548259, + 727195858, + 224799813, + 933379038, + 222311115, + 198059580, + 763091639, + 315258616, + 762807618, + 156958323, + 766430167, + 390052946, + 801085747, + 317258593, + 817771064, + 313221220, + 481923357, + 216483786, + 195244521, + 301970597, + 878019175, + 347649364, + 227143920, + 485764253, + 671382009, + 715911573, + 176275146, + 861348167, + 85153845, + 182100314, + 347827171, + 356951269, + 417391666, + 414547360, + 546214212, + 403662778, + 603668638, + 502834124, + 853075596, + 621937179, + 316443278, + 244946576, + 518623090, + 384688490, + 840289246, + 307052973, + 969461252, + 433218338, + 233614531, + 328397228, + 356937106, + 744713093, + 311071671, + 265062676, + 354362246, + 804349512, + 621818942, + 954035180, + 638364979, + 900466667, + 567918230, + 136369507, + 725174468, + 940771380, + 628182590, + 525502392, + 127828451, + 680802163, + 107320586, + 722847079, + 879352904, + 67804011, + 427032431, + 752692420, + 702695838, + 243993679, + 977219270, + 89722660, + 185364942, + 248944230, + 830842961, + 521142323, + 33320390, + 84717306, + 789923144, + 800297145, + 927886118, + 187890744, + 634774578, + 189544765, + 129015342, + 153737705, + 628957385, + 365099991, + 174167704, + 828007103, + 121378649, + 503935726, + 384270805, + 621804634, + 225190181, + 468631587, + 517802716, + 567113793, + 826443952, + 71195003, + 163162644, + 484066064, + 673227034, + 647206986, + 854992382, + 692629741, + 51113320, + 362804389, + 709591499, + 186042154, + 599346491, + 240168884, + 978926693, + 682674797, + 210488673, + 912868543, + 115661545, + 754348883, + 12501460, + 706703069, + 226475791, + 552120482, + 845514533, + 357882665, + 982554282, + 411457457, + 593984292, + 7495405, + 227890338, + 821503315, + 673524178, + 423928623, + 451996834, + 456163685, + 548300219, + 514954106, + 925905043, + 212748475, + 255699471, + 729916721, + 112632435, + 127778159, + 223477947, + 466095464, + 184224332, + 572791053, + 270608009, + 741375617, + 753993159, + 664793086, + 579474172, + 231951067, + 658023479, + 431332106, + 754365140, + 388638432, + 164011880, + 280519771, + 501629435, + 801615536, + 185871542, + 455314293, + 406509295, + 616482973, + 961961178, + 533425923, + 701294183, + 515940007, + 546133033, + 261226834, + 50645875, + 72226894, + 942554354, + 618813181, + 170313925, + 609993303, + 865042731, + 446998825, + 656273234, + 965285769, + 93372471, + 330430010, + 235389234, + 853140923, + 262276171, + 576711497, + 370941423, + 893709138, + 295750035, + 158846524, + 885857280, + 770312840, + 574914795, + 167358944, + 377805141, + 699519489, + 937368857, + 756570208, + 495067860, + 781471765, + 18258168, + 775618568, + 288409504, + 138380625, + 401571496, + 424479609, + 632741739, + 760874012, + 973499911, + 412606301, + 294615803, + 185458985, + 534337307, + 481048518, + 422283636, + 489875247, + 332874892, + 685069586, + 863233151, + 776952014, + 182302781, + 511798179, + 627927289, + 581795093, + 857247500, + 355819022, + 684638353, + 599793718, + 553254780, + 801946269, + 231197388, + 209437007, + 408585612, + 124231183, + 729927899, + 441864381, + 485685119, + 90268775, + 715544370, + 247200326, + 678901835, + 415422119, + 853164222, + 165836622, + 862690615, + 229412853, + 90676573, + 894615566, + 566093630, + 27103899, + 830920047, + 891975149, + 278489498, + 364770977, + 548852133, + 602105921, + 699850000, + 794738747, + 364949085, + 607735083, + 508464425, + 262147291, + 200797204, + 781768270, + 840329073, + 17084157, + 452473519, + 521346987, + 176065291, + 356764634, + 990214226, + 416219162, + 136911897, + 296393774, + 200811956, + 317948221, + 566102589, + 62059832, + 667568085, + 544619539, + 37259088, + 761920369, + 935370720, + 317441846, + 772588905, + 127039326, + 913389303, + 650564845, + 124756034, + 319784165, + 920925622, + 298540510, + 925542641, + 610229503, + 466803539, + 739233061, + 879675865, + 684556377, + 247349489, + 666448556, + 820967198, + 547051237, + 878748982, + 487998796, + 340961324, + 938236037, + 467390262, + 630834080, + 599213990, + 802071175, + 652486501, + 86011465, + 930311830, + 65625327, + 929080173, + 240323694, + 283181862, + 27315929, + 369839716, + 959883729, + 466978872, + 415118073, + 194785891, + 443556270, + 885326618, + 100201939, + 311032592, + 183147826, + 993551520, + 402165744, + 779956175, + 739531034, + 931614863, + 290056024, + 387469522, + 386737316, + 469126581, + 698099004, + 647375485, + 700321345, + 10038863, + 406472585, + 827217933, + 622633663, + 505720368, + 988041145, + 670112062, + 500978805, + 962738921, + 642513765, + 4621962, + 301835372, + 380393792, + 155569208, + 854365325, + 615468577, + 449306177, + 81064894, + 320440343, + 975797476, + 891832603, + 227744831, + 592639657, + 227362568, + 182432457, + 344480080, + 527249201, + 310883716, + 498458614, + 477381485, + 556383432, + 996882481, + 576267725, + 799009273, + 919257266, + 852216064, + 693860348, + 275960216, + 545670326, + 368303977, + 787399212, + 237314144, + 740120178, + 544910277, + 470769903, + 879081535, + 435063642, + 192268681, + 637572398, + 164013629, + 86077978, + 94052914, + 640301224, + 245846347, + 725172430, + 770741952, + 646324465, + 872055719, + 356735052, + 334377377, + 265436215, + 809136749, + 336446787, + 318389058, + 747357288, + 271695953, + 914300429, + 216268272, + 114685468, + 859013212, + 721196002, + 380128039, + 878718673, + 311611536, + 585506156, + 457271396, + 758677730, + 389262679, + 835862255, + 48224013, + 295105234, + 460945779, + 436259030, + 173327372, + 59885531, + 306165110, + 878444256, + 903284231, + 115560765, + 677599439, + 661973445, + 746701163, + 889803963, + 890623234, + 302162456, + 447920254, + 898197764, + 574863291, + 783583678, + 591908792, + 910470572, + 826406487, + 711469212, + 40725902, + 115483710, + 55568779, + 59053864, + 676038743, + 390929481, + 18042476, + 541362473, + 69910719, + 411146835, + 103686822, + 728758379, + 510873321, + 236263533, + 124605221, + 12929519, + 596542311, + 498732104, + 35393780, + 301902724, + 478915245, + 703280672, + 533420085, + 136447718, + 45285853, + 231770302, + 837485122, + 607094990, + 361189843, + 851657971, + 404964952, + 754432585, + 576148363, + 618819799, + 405174915, + 87298255, + 772213436, + 901863523, + 753202946, + 255843261, + 963562272, + 848366989, + 786502775, + 878178068, + 177705958, + 322807567, + 894557192, + 398734605, + 346053307, + 960916765, + 565637429, + 315445994, + 587177009, + 682416824, + 746417694, + 376278453, + 612503217, + 726115593, + 830106423, + 958102776, + 953368189, + 388951068, + 747270736, + 453447764, + 860586903, + 9991163, + 121583837, + 210906045, + 990615624, + 46162323, + 210510833, + 526996144, + 980303915, + 13817129, + 759962434, + 687202276, + 25931626, + 400304508, + 58366042, + 603759553, + 671696775, + 956157741, + 898319879, + 785978393, + 756273788, + 203468197, + 790454803, + 148480688, + 47330838, + 118209117, + 100645001, + 563092961, + 918063661, + 446356274, + 156823576, + 850528315, + 520921802, + 961200664, + 826117357, + 167140244, + 615734701, + 437169593, + 443097258, + 418614500, + 715380517, + 866945532, + 511793950, + 997258022, + 531659221, + 481453467, + 305976533, + 368416260, + 145302375, + 217754477, + 424956265, + 785141777, + 538135517, + 133916451, + 193914643, + 135884502, + 538586411, + 628619979, + 988463000, + 357909847, + 634809572, + 952847346, + 631390208, + 538408178, + 85541566, + 302244234, + 905687573, + 109257416, + 111954432, + 409346984, + 48885269, + 486631813, + 820601187, + 857481590, + 252943304, + 190513841, + 359962455, + 555918245, + 222738361, + 566021234, + 660980946, + 598103995, + 348438305, + 330688431, + 847094478, + 728324818, + 299028611, + 690265077, + 999757978, + 278999317, + 586646403, + 671335545, + 992907265, + 773375886, + 789203887, + 187321288, + 950513819, + 254082918, + 85873463, + 443881849, + 568576368, + 423455640, + 313600472, + 640232875, + 744618830, + 526949673, + 684715101, + 627722425, + 956786619, + 886408251, + 390848192, + 351828560, + 125117381, + 736593769, + 327244043, + 157746985, + 877370998, + 674587392, + 386601990, + 465175192, + 468879152, + 197494104, + 999540253, + 507855139, + 811892856, + 183717337, + 756130956, + 746121641, + 549781844, + 619118225, + 650915194, + 588089709, + 348947314, + 798202983, + 394895921, + 40420098, + 164561410, + 182035336, + 435959536, + 654791410, + 917615623, + 217038833, + 28448867, + 527223582, + 730885934, + 714436004, + 968330152, + 815433291, + 961152238, + 162978789, + 717332277, + 514342618, + 754816274, + 112802993, + 840477176, + 353423833, + 696223149, + 880989637, + 508379926, + 311958768, + 148617510, + 953316785, + 939671874, + 635573014, + 698041793, + 2090401, + 148543071, + 435933186, + 627107629, + 176803857, + 637473307, + 802738224, + 291544471, + 730239969, + 31550680, + 554833965, + 437939187, + 150697339, + 156942867, + 544033797, + 864347471, + 645061705, + 519656175, + 65126648, + 810361137, + 939596723, + 742977122, + 624391739, + 702678995, + 273056605, + 607371221, + 585731355, + 880776136, + 25593310, + 560506959, + 514394014, + 642672857, + 457301282, + 726080388, + 199707958, + 677244936, + 150285771, + 129983140, + 396153090, + 141327050, + 913923963, + 435648851, + 365001380, + 493110758, + 70166917, + 465374480, + 318394835, + 631669322, + 659695493, + 242529544, + 440066723, + 285904618, + 366893681, + 209236263, + 148092110, + 387467015, + 921266147, + 467694369, + 896311577, + 571938345, + 647807418, + 812010802, + 327058955, + 996536064, + 480866620, + 38495645, + 460752683, + 389765416, + 58411395, + 940751096, + 585024614, + 113674812, + 691736925, + 572345219, + 809757567, + 169404638, + 906886551, + 159738863, + 779482409, + 247722451, + 460342514, + 114319116, + 50689064, + 532647549, + 177707461, + 757817807, + 505813667, + 207373386, + 796632240, + 802522240, + 907123957, + 51881847, + 279956140, + 921535939, + 573841236, + 766315280, + 920234919, + 757005215, + 872763637, + 704196636, + 494744117, + 396277975, + 296307374, + 591765299, + 346181866, + 192089689, + 851202199, + 758848708, + 689864125, + 940790344, + 383715371, + 985040208, + 309171320, + 59707461, + 957620305, + 107645189, + 117397342, + 586312611, + 129044029, + 8219979, + 372638351, + 191712898, + 994420557, + 24283022, + 945733553, + 413305392, + 989254409, + 333325158, + 607557234, + 767197509, + 802631897, + 463425641, + 582605455, + 567497737, + 515603005, + 682016960, + 59729496, + 893627408, + 314284828, + 797076221, + 670506861, + 877439626, + 752369868, + 198730176, + 810932189, + 928770848, + 254457092, + 122836855, + 308740091, + 891617304, + 191520147, + 241924709, + 387211005, + 547900444, + 937669953, + 246395318, + 503560761, + 168693547, + 228653723, + 711913442, + 540912809, + 94545408, + 557984583, + 1245078, + 881748022, + 625176489, + 761990619, + 114587498, + 647809734, + 41564549, + 227051085, + 157593465, + 374937241, + 105319437, + 909149954, + 666234928, + 359496295, + 665351675, + 133544979, + 975813521, + 50670530, + 280697427, + 276268456, + 109654344, + 483471480, + 298461461, + 30643742, + 535216927, + 157460244, + 268673226, + 461080498, + 272884373, + 519031517, + 609705266, + 347445915, + 451031591, + 684196823, + 537168525, + 636681222, + 528079541, + 696493420, + 448119539, + 420583408, + 642707458, + 579304222, + 907912475, + 984834876, + 267924670, + 305665158, + 869013869, + 493496057, + 707287934, + 367297916, + 242878119, + 787763095, + 692888343, + 848194649, + 522947435, + 510252688, + 691614457, + 5653558, + 725038474, + 267917982, + 970927080, + 714560775, + 777596539, + 780114500, + 128418688, + 409984131, + 966177155, + 161811944, + 218581729, + 605950122, + 696048715, + 902192611, + 48333221, + 300108585, + 849556709, + 750081974, + 531519311, + 921586454, + 169151282, + 780706253, + 54591706, + 297551124, + 513178521, + 538794615, + 549290163, + 624433306, + 585924518, + 831558064, + 276977174, + 195390212, + 243881931, + 694618000, + 460886935, + 224867618, + 19826687, + 624714273, + 208481210, + 388312684, + 334899037, + 438323225, + 981308760, + 634520730, + 263165737, + 53200597, + 1999394, + 398618132, + 401117491, + 848815533, + 484083432, + 133022798, + 126527304, + 604519033, + 354197048, + 160113250, + 535921839, + 572438013, + 853904729, + 666394680, + 4314266, + 770035920, + 60962035, + 646284342, + 148076328, + 9481806, + 431096385, + 957009534, + 261744060, + 258044038, + 215682837, + 184819378, + 568475105, + 695673757, + 81071933, + 87992935, + 400223151, + 601186170, + 717231724, + 759361786, + 24563984, + 965552671, + 287563439, + 509356160, + 735036164, + 989412056, + 817451223, + 159743982, + 800142601, + 766503143, + 81138167, + 263344346, + 27174536, + 675339570, + 248550925, + 673136964, + 746818768, + 616594570, + 306895125, + 136576321, + 782373803, + 705150146, + 583620182, + 567862320, + 423745907, + 458207929, + 267297415, + 523519994, + 20883895, + 173086686, + 823159483, + 732596739, + 273341881, + 464529049, + 240337120, + 657974679, + 671685743, + 864128357, + 444296668, + 295842489, + 133278625, + 164737244, + 221793998, + 267795811, + 369622611, + 731203091, + 482744217, + 951847242, + 977045648, + 715219632, + 874427308, + 621853896, + 526657220, + 355094824, + 917958978, + 622075444, + 569638030, + 422447367, + 690482898, + 496339618, + 402822395, + 726689102, + 417078909, + 477323880, + 151876663, + 967053765, + 147585035, + 274446150, + 174440582, + 949203388, + 493627212, + 441544324, + 697511244, + 488194040, + 90684532, + 491471055, + 707225173, + 49033074, + 662840348, + 62026736, + 665474651, + 234210580, + 985181622, + 371061990, + 55316251, + 897767753, + 524518235, + 902804690, + 329753286, + 796531734, + 483671824, + 642764181, + 587038958, + 800256519, + 386519747, + 473850033, + 969562456, + 56843830, + 829295437, + 183344344, + 624343905, + 200122309, + 997594741, + 701610342, + 778061639, + 935484432, + 635825790, + 29787310, + 185721997, + 616876062, + 808267554, + 244897277, + 697516215, + 991922124, + 488158531, + 842977923, + 171956098, + 872659942, + 874419473, + 949136209, + 908983934, + 747494633, + 389936595, + 574246956, + 911927175, + 550388511, + 658667973, + 529139130, + 400774404, + 157530372, + 64840786, + 18995673, + 879854357, + 144819528, + 901819707, + 296111201, + 710884687, + 500237251, + 364789162, + 692670691, + 781499559, + 647742203, + 136057253, + 40877760, + 432984110, + 605546624, + 401812327, + 704075525, + 943682816, + 760415810, + 488372329, + 204276621, + 780909155, + 549570579, + 324639664, + 749962609, + 362747852, + 630788010, + 561312407, + 88553019, + 935148001, + 990230602, + 33878177, + 429790504, + 783518949, + 917362831, + 269126631, + 581220219, + 549660531, + 286570756, + 927915484, + 551822462, + 539855385, + 314750297, + 297349519, + 884721085, + 223396889, + 915065779, + 176719517, + 378124805, + 791093421, + 161382912, + 841208577, + 566933216, + 454194914, + 400917539, + 134359473, + 370969526, + 739567083, + 188876560, + 317570351, + 38065736, + 379774550, + 627353681, + 387315004, + 843069633, + 208493545, + 975294447, + 996583705, + 680324362, + 151573017, + 814310345, + 974838269, + 716270322, + 570704860, + 284109969, + 784698763, + 451045254, + 895944912, + 578827172, + 393198947, + 256579217, + 9486253, + 49790293, + 381073131, + 368145613, + 650762095, + 441007810, + 873838384, + 516696725, + 326284337, + 376396166, + 527600180, + 328813165, + 101098978, + 27193588, + 239113048, + 585344710, + 354519745, + 771897029, + 920810308, + 357894431, + 468701469, + 323919924, + 82381194, + 270464915, + 431102890, + 474901893, + 436831797, + 717243102, + 727272610, + 499276539, + 657652769, + 984908923, + 47820084, + 595719203, + 482593787, + 165856697, + 967152153, + 258371043, + 565456680, + 934093210, + 653863281, + 625176882, + 272983646, + 828986218, + 734260347, + 587053686, + 120861324, + 647043694, + 596054062, + 817413149, + 465503714, + 794080482, + 310764316, + 356874543, + 118988530, + 927568839, + 403592799, + 683321372, + 706546719, + 472737378, + 86278876, + 570060712, + 307381633, + 922471570, + 254892079, + 825775244, + 970579456, + 97702277, + 708321031, + 450421085, + 453908375, + 568497951, + 747547610, + 186236313, + 648418646, + 263353769, + 247624271, + 649564737, + 905787261, + 602709702, + 620532995, + 876488484, + 187268405, + 335680693, + 830748297, + 120991470, + 90766553, + 87948162, + 111164151, + 661328858, + 312584865, + 205898626, + 822234884, + 258531061, + 357321364, + 15164890, + 928068383, + 527654226, + 414124011, + 469832469, + 815568, + 848217544, + 501545418, + 67828443, + 478410850, + 13804170, + 419383259, + 237761910, + 852420614, + 422570665, + 52350656, + 293458628, + 726019374, + 29800534, + 486958817, + 14611692, + 293978275, + 214327063, + 604667431, + 143696079, + 312889213, + 325050671, + 441677031, + 284641740, + 217726013, + 144709716, + 661620621, + 949974702, + 616654709, + 299253040, + 255499578, + 284238890, + 356537911, + 86666320, + 18958339, + 275766219, + 326616788, + 243838931, + 419136753, + 952840052, + 753741988, + 985432100, + 438530732, + 245318829, + 683782613, + 628400481, + 97889651, + 340929468, + 598224890, + 745027202, + 887595874, + 300041789, + 89590584, + 746881228, + 31677482, + 1671260, + 350723593, + 11478658, + 755803856, + 346982972, + 536993738, + 731222607, + 3045300, + 561531385, + 243423534, + 19694828, + 371561834, + 359292423, + 6137966, + 352565297, + 750484461, + 778286239, + 174830098, + 881976152, + 817305520, + 598730326, + 882119068, + 104434305, + 264522105, + 915911725, + 651516330, + 51882194, + 258305683, + 343318582, + 867581203, + 971367235, + 554004515, + 304882651, + 581331579, + 311171959, + 956371301, + 942065047, + 883986420, + 321343475, + 166843811, + 467443638, + 446409956, + 459454543, + 821233981, + 753348787, + 716214481, + 74814624, + 521713797, + 564221662, + 548688728, + 733523165, + 772429959, + 303027483, + 751146472, + 350507755, + 900042491, + 934164836, + 649105397, + 596894103, + 604472121, + 44997183, + 552196020, + 83341176, + 189832205, + 918969369, + 658979630, + 27463498, + 712985190, + 752041475, + 759393617, + 504075022, + 31835944, + 295867108, + 102066641, + 43739782, + 6950290, + 316864104, + 454874777, + 757219644, + 431459876, + 394988537, + 438443278, + 199908797, + 418897106, + 302260162, + 405822694, + 987452674, + 882352364, + 134529577, + 104081811, + 176742229, + 46630185, + 611113397, + 635298988, + 479541344, + 521782234, + 299698442, + 104545091, + 99472373, + 228319205, + 285593215, + 219999405, + 85790495, + 114622808, + 85754571, + 20761188, + 165738126, + 99063222, + 802223371, + 911164144, + 978227523, + 420603159, + 740212910, + 73420065, + 880554502, + 615546232, + 627412622, + 639541300, + 647905951, + 326794209, + 235885234, + 296250347, + 786875846, + 657286213, + 320377820, + 580938474, + 432808441, + 19986775, + 358112824, + 610893222, + 818524154, + 254985542, + 453417629, + 964618298, + 106928950, + 600374427, + 630381545, + 579857459, + 38545926, + 78919135, + 237655387, + 386990325, + 324700885, + 996694966, + 248078569, + 411790864, + 692828411, + 85340667, + 710443923, + 592476510, + 380934321, + 471225513, + 324749250, + 12484976, + 60242425, + 924517476, + 725195365, + 280177397, + 794475745, + 353518343, + 989614164, + 197169163, + 872111081, + 464834761, + 776683306, + 532554150, + 768895915, + 62869182, + 452437598, + 219001840, + 302541444, + 752835269, + 952071863, + 445535387, + 289310155, + 820429782, + 237361532, + 989877333, + 460144375, + 448923055, + 885265985, + 633254895, + 530438231, + 831244218, + 733687778, + 27712070, + 848740918, + 993504663, + 326699861, + 836103268, + 669664479, + 310513539, + 901522397, + 33051821, + 632303991, + 893736302, + 923543055, + 834316875, + 321325196, + 476539145, + 685930796, + 814224836, + 510580591, + 459580425, + 309047467, + 577895036, + 597971480, + 779788374, + 243019163, + 923014934, + 984597985, + 67056924, + 439367612, + 652797075, + 358248243, + 444896865, + 986724080, + 180089626, + 397066861, + 745639543, + 589898422, + 365061422, + 819781638, + 305903225, + 757187552, + 110266511, + 102322451, + 812443420, + 37885197, + 58543760, + 91403883, + 885580294, + 358392917, + 987515816, + 743332916, + 690056805, + 360650568, + 599156247, + 944232572, + 141153279, + 656226566, + 272734265, + 334372738, + 698043819, + 339198059, + 237481318, + 370691039, + 960721406, + 523963782, + 85646309, + 647916149, + 861437208, + 551171026, + 801897193, + 597759693, + 986657850, + 491561650, + 430819533, + 771437201, + 278117993, + 853266521, + 72943770, + 415698551, + 660575225, + 956009553, + 47209912, + 634774852, + 99368383, + 356706988, + 95262621, + 405257738, + 661414312, + 713407022, + 224992567, + 236352605, + 876469325, + 74205017, + 760722341, + 489660432, + 736971762, + 301957772, + 918015742, + 386751640, + 118676310, + 331613324, + 806378526, + 991119333, + 593728443, + 530840802, + 555648938, + 845670521, + 83163100, + 797346650, + 132946833, + 655597678, + 344513189, + 148440544, + 138896691, + 232922268, + 758213332, + 408550671, + 461099053, + 299025174, + 238560055, + 232191711, + 1817987, + 191828530, + 591381649, + 291595061, + 997659071, + 974940747, + 414518428, + 607302492, + 831543466, + 286269185, + 673441444, + 64915778, + 832420948, + 558000905, + 808296411, + 296622409, + 735203197, + 255503385, + 616408978, + 704780680, + 204650250, + 492329154, + 823257201, + 501111114, + 335221540, + 161848841, + 348499147, + 540446496, + 934363143, + 560759148, + 448972119, + 91870200, + 439129205, + 667378390, + 358492301, + 931836913, + 614808805, + 498068309, + 40702231, + 817865615, + 121361620, + 805916696, + 302956795, + 409829210, + 631374752, + 432600906, + 16225006, + 219746147, + 580116788, + 576951983, + 502908113, + 675032410, + 794783231, + 489115197, + 270454797, + 341424710, + 82427102, + 12855211, + 356104287, + 745167169, + 103714166, + 303830227, + 628476707, + 599909630, + 909435511, + 978357249, + 804868352, + 551400054, + 773403665, + 571123889, + 79267629, + 875155648, + 624458785, + 368702020, + 268319424, + 670361846, + 915551526, + 708150669, + 183895296, + 788572939, + 316523138, + 526885426, + 609015012, + 131181436, + 344558250, + 249463386, + 742971139, + 710367342, + 97922659, + 118216772, + 112696560, + 102920246, + 990022819, + 412639922, + 846961571, + 752910939, + 819055905, + 762407826, + 342471250, + 100494311, + 396911798, + 733284191, + 338053677, + 822649216, + 126067517, + 492540699, + 428338411, + 536334948, + 742189389, + 782967532, + 212382670, + 933395521, + 901020231, + 325758943, + 74039394, + 557012040, + 885526621, + 222480012, + 567430830, + 516582770, + 587380566, + 804584563, + 439101688, + 247174651, + 440394160, + 491387855, + 536762402, + 142136988, + 497189014, + 316247101, + 473509937, + 916064608, + 723190068, + 58576229, + 759957252, + 943010084, + 772799896, + 112940466, + 739103203, + 578289787, + 996387609, + 735219686, + 509621400, + 136028973, + 897877063, + 775495150, + 480810759, + 21456674, + 298360068, + 132260492, + 205639385, + 735230457, + 370313102, + 431106531, + 414902697, + 405312500, + 633716945, + 706694374, + 61062593, + 293440740, + 413103381, + 723431885, + 78557431, + 193508899, + 142796466, + 897931095, + 977088725, + 727424382, + 284129366, + 213429680, + 669577682, + 158738761, + 896511902, + 654983007, + 755551218, + 365390358, + 423199925, + 351521066, + 664859635, + 978183364, + 839570727, + 13018644, + 764468793, + 629741049, + 979086714, + 58299830, + 117247277, + 53050370, + 601946943, + 178398783, + 619087532, + 579981564, + 482287625, + 405347032, + 847249780, + 99950865, + 635527867, + 208752096, + 139516702, + 845189799, + 837760564, + 894197990, + 576706128, + 1544651, + 325454808, + 558457532, + 866949605, + 790867268, + 680683165, + 240412774, + 414506321, + 885108236, + 177497100, + 555598409, + 612299243, + 286345659, + 108997001, + 7773857, + 615929085, + 910150531, + 139658696, + 917447865, + 352813357, + 652501142, + 354992648, + 900788601, + 10386914, + 267864767, + 479555947, + 535870439, + 324964127, + 93857234, + 699776844, + 877086745, + 642988654, + 901591058, + 412690853, + 4016849, + 312797257, + 556808620, + 804635533, + 572467759, + 388629834, + 182375879, + 946286683, + 445234670, + 79206191, + 602483018, + 114170466, + 134084540, + 60512861, + 660698410, + 378196515, + 344604287, + 229186154, + 333514303, + 709149537, + 900493439, + 510253153, + 41697119, + 320604531, + 693025086, + 213796286, + 696232428, + 235262964, + 220208411, + 55090363, + 800596863, + 24931813, + 789831587, + 952456683, + 178613560, + 252971255, + 330469562, + 563181734, + 88397059, + 173455298, + 152663144, + 16123814, + 61627819, + 485448465, + 17291296, + 443794865, + 674778668, + 775234828, + 235410832, + 135808733, + 647723151, + 134904600, + 855135072, + 568273508, + 762926453, + 709695281, + 585287750, + 484390411, + 323261426, + 822870619, + 182892591, + 897287353, + 504661456, + 444530447, + 924016961, + 728081437, + 243664984, + 924572486, + 251025638, + 338724191, + 686212498, + 877215406, + 111185204, + 826421747, + 641039418, + 74624956, + 576053786, + 558520109, + 732727343, + 179533292, + 284458619, + 257867879, + 308118898, + 320969317, + 914787604, + 802078583, + 538662584, + 680261530, + 233964208, + 206444647, + 581670513, + 570088082, + 210478276, + 62324988, + 639060238, + 273029911, + 775335885, + 272463913, + 417524545, + 786242319, + 710805201, + 833965016, + 72351902, + 108426601, + 892239017, + 905517815, + 344827966, + 296253042, + 620177899, + 23355657, + 459263251, + 606255083, + 146112029, + 787966483, + 783653345, + 160214216, + 159348261, + 968087548, + 983867297, + 233784630, + 184477489, + 323759084, + 393730436, + 151426679, + 305904842, + 717855455, + 211870954, + 389512887, + 939967340, + 827464686, + 292841171, + 711858746, + 823849237, + 280035419, + 733310668, + 173480353, + 780896755, + 50072720, + 301099132, + 422404581, + 112283209, + 573892974, + 626579788, + 269545204, + 765693483, + 24323349, + 420955892, + 65021042, + 495388143, + 574461368, + 271208700, + 394805507, + 662498604, + 221243389, + 540635752, + 11552555, + 437757035, + 468935726, + 796395116, + 487656707, + 676163936, + 957464568, + 36341008, + 600765927, + 22269158, + 457774320, + 288374091, + 684238912, + 849092960, + 920036957, + 819668243, + 800336675, + 499168444, + 198746084, + 817569420, + 928329969, + 970952489, + 371589027, + 338448022, + 322666312, + 519717851, + 836959947, + 9907794, + 164097761, + 568042632, + 214802858, + 678004381, + 286430637, + 992570100, + 19181444, + 328729739, + 106912533, + 606890795, + 514694449, + 727331789, + 895839911, + 133310644, + 282861013, + 623071057, + 321350826, + 69212367, + 211333458, + 580717296, + 812997605, + 81749728, + 892522850, + 768767813, + 425503954, + 409886412, + 822138490, + 433746007, + 869070715, + 56420080, + 592697351, + 107561631, + 514005366, + 38650225, + 84139808, + 768754096, + 566777322, + 177010647, + 137383859, + 385913398, + 898303587, + 121173656, + 701421407, + 909058585, + 789727755, + 977834284, + 897310004, + 728118369, + 335470792, + 943511050, + 187218921, + 22237963, + 199497241, + 248501038, + 659575342, + 104235320, + 707879807, + 720256815, + 245061071, + 785113114, + 537970925, + 715267859, + 379679188, + 685593418, + 327450899, + 392708680, + 920630492, + 733288766, + 300327675, + 476548537, + 998639217, + 923660646, + 436439263, + 324205976, + 363175755, + 403534005, + 306883173, + 824310396, + 869879941, + 667146023, + 280031840, + 796016291, + 635041725, + 658742833, + 491657165, + 355680472, + 951726916, + 989540942, + 836326717, + 939833070, + 776847186, + 193289702, + 294461967, + 82619850, + 60860300, + 928043127, + 477977493, + 165710566, + 914365462, + 995980341, + 343136032, + 90233426, + 13611272, + 689526356, + 35978899, + 463981796, + 140801006, + 248003145, + 835321405, + 185337412, + 108398161, + 548024918, + 989149461, + 645307252, + 5380836, + 807797564, + 579106795, + 568569866, + 380465425, + 459356618, + 73767856, + 677892960, + 80498669, + 195360366, + 426103484, + 175682630, + 437987181, + 935069036, + 538799809, + 633909954, + 572302817, + 915471643, + 388207255, + 521275395, + 337693106, + 457889018, + 563778715, + 652140907, + 179411958, + 698562073, + 240774992, + 248786612, + 127023438, + 545360499, + 746832250, + 18170699, + 884502093, + 37303660, + 908883082, + 571785310, + 411771820, + 872055033, + 844081775, + 704275894, + 824096395, + 219399712, + 378445714, + 251395519, + 477617293, + 671973887, + 241518783, + 131090990, + 840446445, + 301177165, + 156210240, + 333022958, + 3192731, + 774861298, + 155986388, + 453267852, + 711617, + 585630619, + 92659602, + 864316340, + 848628522, + 666863156, + 830574466, + 618944857, + 425474008, + 505299663, + 815220718, + 740041383, + 816214145, + 316019340, + 804849617, + 420827506, + 519546947, + 876049795, + 654902817, + 876630641, + 700978326, + 61530120, + 330465435, + 333651301, + 566284668, + 592549604, + 959626515, + 583213159, + 66395963, + 568617965, + 686315155, + 453132358, + 857906068, + 687295088, + 294060863, + 799289154, + 162757154, + 790002739, + 454480043, + 12666978, + 679801166, + 599229628, + 468751706, + 762738123, + 283672244, + 977248598, + 356951064, + 571646189, + 264068791, + 821903212, + 410640238, + 256179732, + 63594737, + 600067230, + 207051349, + 182029658, + 607358483, + 177033201, + 997899168, + 500069399, + 168505395, + 629110123, + 420424144, + 949551131, + 824165771, + 962777584, + 373208997, + 104090816, + 478923170, + 221077798, + 128570961, + 145912960, + 981899230, + 60583643, + 613766096, + 1704574, + 604542383, + 337869993, + 174111551, + 410613409, + 155887035, + 686942662, + 419154768, + 737721345, + 44890188, + 916593602, + 880865502, + 799817608, + 558378465, + 588022829, + 569707550, + 272090928, + 175588406, + 299456067, + 180850149, + 736410209, + 671269631, + 242134254, + 906977065, + 841192968, + 199781523, + 967150392, + 865105712, + 131942856, + 666160659, + 537660061, + 701040502, + 858137778, + 88251599, + 59142484, + 497908243, + 420562638, + 249311640, + 332130815, + 807185532, + 863987388, + 947179332, + 127268110, + 518677718, + 161060094, + 359466166, + 718661099, + 727113483, + 511171308, + 903610218, + 462561052, + 600765720, + 635185715, + 276648126, + 590569311, + 681268148, + 438630396, + 350231744, + 445486599, + 443257589, + 788480222, + 762991224, + 810693551, + 896158308, + 855827168, + 525317748, + 392913018, + 882761310, + 374639594, + 232477023, + 715726557, + 436772744, + 358878379, + 17279390, + 718235166, + 551026601, + 16838031, + 683542014, + 67677216, + 456065639, + 59106736, + 66888627, + 643899384, + 388907818, + 965992430, + 26921542, + 666826256, + 105915905, + 888572779, + 840736794, + 863811043, + 832441302, + 720893853, + 79070635, + 342743427, + 94954376, + 642699742, + 554968969, + 205747997, + 871813874, + 810011651, + 506289750, + 83954973, + 580467563, + 920314194, + 527676354, + 731374748, + 844149064, + 276493967, + 834314076, + 153922382, + 807715001, + 863117700, + 765815888, + 961303326, + 43293397, + 497534953, + 693587206, + 576753720, + 827608656, + 167038898, + 983166250, + 940898066, + 580051199, + 295106261, + 936367460, + 983087843, + 390323296, + 774586152, + 959280941, + 50388562, + 17108282, + 218667944, + 37119529, + 860389534, + 504823166, + 334476837, + 581242659, + 918610637, + 915545032, + 576129172, + 800041069, + 888808157, + 506169091, + 514238320, + 192770097, + 742851950, + 653218561, + 862601942, + 937673048, + 673646485, + 528496788, + 276167648, + 318434198, + 404859828, + 347834846, + 841740970, + 261598341, + 709685785, + 158665761, + 210610216, + 974277618, + 879362040, + 223843324, + 257566788, + 536845835, + 889246647, + 871100347, + 946409423, + 538941836, + 726499714, + 660724271, + 541179202, + 555749001, + 328444583, + 718498314, + 297905562, + 841721146, + 514883199, + 654448574, + 448772690, + 463082476, + 707397089, + 437957552, + 582806768, + 424830342, + 56561623, + 915601750, + 845299336, + 768261243, + 635349170, + 531202771, + 842805375, + 912631756, + 729413261, + 566015887, + 203395006, + 152084576, + 90083875, + 374147403, + 720187669, + 688348814, + 916734377, + 629750449, + 95008013, + 605543380, + 120281466, + 494826355, + 466611294, + 49826449, + 747315403, + 327553847, + 305504744, + 139454721, + 888716440, + 43628456, + 185168169, + 836217622, + 934062024, + 31766705, + 798153732, + 101884301, + 348885886, + 514183471, + 455548953, + 107462261, + 808531539, + 280852421, + 628700475, + 84435132, + 611261531, + 989400793, + 884409089, + 692742388, + 204609641, + 882063510, + 881441942, + 753210155, + 940651702, + 24763471, + 195303566, + 576116323, + 93592586, + 832954372, + 339386750, + 237905318, + 117990678, + 934190248, + 166452142, + 818701956, + 119401173, + 232848221, + 920740642, + 857001042, + 34081986, + 524146605, + 857196076, + 827946374, + 906377721, + 698001261, + 552206023, + 97130879, + 462926775, + 264444091, + 546330635, + 800180925, + 198396135, + 918926477, + 701060133, + 752320110, + 734785984, + 411488958, + 971484854, + 383551877, + 752918602, + 941569865, + 883207445, + 548485186, + 449031696, + 462537437, + 333062187, + 954513523, + 483093646, + 374966365, + 480652023, + 225744180, + 374507797, + 202142202, + 448806093, + 907710935, + 334208402, + 919195597, + 968577397, + 544733620, + 56788784, + 816525405, + 931349200, + 659904337, + 629075944, + 425844170, + 806175794, + 788368617, + 235999955, + 309925724, + 740664421, + 201650903, + 495807744, + 501844093, + 628316455, + 989669215, + 175739953, + 31203847, + 719606206, + 455665501, + 428689109, + 851849941, + 852443290, + 873361332, + 181885293, + 955514550, + 988539784, + 655876606, + 852593033, + 293481642, + 847715147, + 276057490, + 608727799, + 460475235, + 313040815, + 705197766, + 210492388, + 750709646, + 759695660, + 430703017, + 989648185, + 868221080, + 808064785, + 899239079, + 704999950, + 660618662, + 761253510, + 509031607, + 847917617, + 70558722, + 335503018, + 477792329, + 866245981, + 401683292, + 212256839, + 844122200, + 714694192, + 345986851, + 96248716, + 127350197, + 144603685, + 79181316, + 858694947, + 753769716, + 26220105, + 204871252, + 672392670, + 82522465, + 164520551, + 957209211, + 553679097, + 580854539, + 277878716, + 547693500, + 514218627, + 818265363, + 600319116, + 747760708, + 472725428, + 391037914, + 412128248, + 593680918, + 891532586, + 294329528, + 427822056, + 501022770, + 295664308, + 943725404, + 755817620, + 535354008, + 11017185, + 336883678, + 280146552, + 54079751, + 588111275, + 15992588, + 213874832, + 808488789, + 406348796, + 97034570, + 108947817, + 378397859, + 690286005, + 954829816, + 99157173, + 166689078, + 854331783, + 838084576, + 435662454, + 612085307, + 673654662, + 75147846, + 161548628, + 326791458, + 477813933, + 647331091, + 577296391, + 295952584, + 66197318, + 393128935, + 696336717, + 399292929, + 763429637, + 310052515, + 215206090, + 625221014, + 684133843, + 331354319, + 603623268, + 994760022, + 62016666, + 458400282, + 219704557, + 369903352, + 800805722, + 233454352, + 175605277, + 711727316, + 179686051, + 761614073, + 479787393, + 261380186, + 960837742, + 816343412, + 634394062, + 157288630, + 352983269, + 349275055, + 26795648, + 954228347, + 629550368, + 598617059, + 181374741, + 230060676, + 424802287, + 268551523, + 807032535, + 379967023, + 590771285, + 935025334, + 993285194, + 882732089, + 861216268, + 304980336, + 986459522, + 365875090, + 86237315, + 770330515, + 522400230, + 113213622, + 533150057, + 290428017, + 779254994, + 749132961, + 203101591, + 699463446, + 639376477, + 369639288, + 201884237, + 976639004, + 256689264, + 851438110, + 174283323, + 759321804, + 308508794, + 2641050, + 356309950, + 62656215, + 591763680, + 463510183, + 980362619, + 799784418, + 597425837, + 37984058, + 313691434, + 32715280, + 741132545, + 260536552, + 17692658, + 893581230, + 911043662, + 471682327, + 150964071, + 707296484, + 98052501, + 741516705, + 823661758, + 298305573, + 123465009, + 136833896, + 954182432, + 874997070, + 899589771, + 993801240, + 57841530, + 774123521, + 844648525, + 745311138, + 596437631, + 375887082, + 351162903, + 398863250, + 429145734, + 171314145, + 206421469, + 553903650, + 64749430, + 642456760, + 929592674, + 690225230, + 912568402, + 677796653, + 473081415, + 712345919, + 539176745, + 877420683, + 753714876, + 155390656, + 634734065, + 841966671, + 663571948, + 259134339, + 656289662, + 959329587, + 444615906, + 803538188, + 376463781, + 973787486, + 168961667, + 129840203, + 195854600, + 550443823, + 255236370, + 869376438, + 258788427, + 624853363, + 939937060, + 362521401, + 153930121, + 990859704, + 791213959, + 747086955, + 252210545, + 157643522, + 449629804, + 248982371, + 787803669, + 847305837, + 460872674, + 314998004, + 233270851, + 69826095, + 647597278, + 862799271, + 679105054, + 614067195, + 591477176, + 917113307, + 904348797, + 139575754, + 750499393, + 371469229, + 66394491, + 370339657, + 538376813, + 327033342, + 285305454, + 674643841, + 593921326, + 978741197, + 948105338, + 229476931, + 278774346, + 250151123, + 910213313, + 53520620, + 665378284, + 63779821, + 214883571, + 906262472, + 356464534, + 673925836, + 196690955, + 687592524, + 863874764, + 652928405, + 398135640, + 834915701, + 625643045, + 652912977, + 814090269, + 766564535, + 224234676, + 971335307, + 123171080, + 307217403, + 557644892, + 53264559, + 971389133, + 876581401, + 934745648, + 555155525, + 963435006, + 195775102, + 682907985, + 981717791, + 94216379, + 310740026, + 404780160, + 160283648, + 95444782, + 169591799, + 281603326, + 275953513, + 921296683, + 970219128, + 553537263, + 298820940, + 457694561, + 951979696, + 541214003, + 510519365, + 413700148, + 931129961, + 243335180, + 736328971, + 233261882, + 439446039, + 882547797, + 540764542, + 514526339, + 134850776, + 200391646, + 651868592, + 382279479, + 935875724, + 877617759, + 572595896, + 995052720, + 973295517, + 964110182, + 913612007, + 102135949, + 656121827, + 422993932, + 835829017, + 166092249, + 288776127, + 276690713, + 110058051, + 603842075, + 113472297, + 68366535, + 938477478, + 829350257, + 290639243, + 619537103, + 558708497, + 768801187, + 283772683, + 987982459, + 408636947, + 745899067, + 101782812, + 431655731, + 437527820, + 589871400, + 214773545, + 460094607, + 171243912, + 980061389, + 803633262, + 237370246, + 483819720, + 196500613, + 521653090, + 724829968, + 205342455, + 656874369, + 354589005, + 277684221, + 928931955, + 465169941, + 910125235, + 701348885, + 110193431, + 672533254, + 334598773, + 877982886, + 577317872, + 791911850, + 864131569, + 710977516, + 581038246, + 99642295, + 53434854, + 368818996, + 919064064, + 999272409, + 539745108, + 919349483, + 774944560, + 394732037, + 588775784, + 619090295, + 148962539, + 284064762, + 75930070, + 189345958, + 453694351, + 338475981, + 794522173, + 30917910, + 409265335, + 36401356, + 375160600, + 112189260, + 837124875, + 619673644, + 543635791, + 128664481, + 616156163, + 780678526, + 345225407, + 734551172, + 642137234, + 960791972, + 507574085, + 906359548, + 703741823, + 251593303, + 791465404, + 682577470, + 116071495, + 193186232, + 144100028, + 387970188, + 637741797, + 391194007, + 264099691, + 763042454, + 885469609, + 138966615, + 47472170, + 205178599, + 934606528, + 436997396, + 408573265, + 234388636, + 388670164, + 886064864, + 444064101, + 593700672, + 155433530, + 860604663, + 697938220, + 361408630, + 421064305, + 460528208, + 847190525, + 465306373, + 289005051, + 553608264, + 508705405, + 349737155, + 286720847, + 955998673, + 512047225, + 117862021, + 695433571, + 394540682, + 594578731, + 547698104, + 78411406, + 11493245, + 665670925, + 608491756, + 714312296, + 845651833, + 555416905, + 640037140, + 821199064, + 807146291, + 864420857, + 831675931, + 18975897, + 460196759, + 729804047, + 503233402, + 136500313, + 365918038, + 178142829, + 731644862, + 143216052, + 256243121, + 424978755, + 620407129, + 348125360, + 755308440, + 994655435, + 122086927, + 732262735, + 160658739, + 307139475, + 215712208, + 387534532, + 973153455, + 218662538, + 477037678, + 448459119, + 240755316, + 141469232, + 817266399, + 88893301, + 827487831, + 203218335, + 524202113, + 147686094, + 279580288, + 450705682, + 999701291, + 252787032, + 359752382, + 551463117, + 348869899, + 536654088, + 762021601, + 682483285, + 531960615, + 325348244, + 698974225, + 707341267, + 780686446, + 378759295, + 892857197, + 499865853, + 74128423, + 650841757, + 11907721, + 929160190, + 680647513, + 792946797, + 500886976, + 373001739, + 616475234, + 430181532, + 674267633, + 256704073, + 795616101, + 980153184, + 28357814, + 385254319, + 38800672, + 333785017, + 315744598, + 191529905, + 86877308, + 419636228, + 390248046, + 936795001, + 825720352, + 423938340, + 819543810, + 279253135, + 469582583, + 38516615, + 197309555, + 381697150, + 488987534, + 393770102, + 233908674, + 778804400, + 103432168, + 403538429, + 121930884, + 847646392, + 774249070, + 980666671, + 922083956, + 892228514, + 102457242, + 300730026, + 266614747, + 682893084, + 691866236, + 580610436, + 814269609, + 512681673, + 677014933, + 550276223, + 637680963, + 684434163, + 619834096, + 245857594, + 714265123, + 856733739, + 246256222, + 248592283, + 979515763, + 303611908, + 988574077, + 887467141, + 19373924, + 977772746, + 678706289, + 66846674, + 534594219, + 743737393, + 717946681, + 380924214, + 681173479, + 713076473, + 438389436, + 421190702, + 818266030, + 667186569, + 511428236, + 637970608, + 499092406, + 882281418, + 767926321, + 988423697, + 694833045, + 197643368, + 202505976, + 61947449, + 336469873, + 785431239, + 390533053, + 423575093, + 830222155, + 883806455, + 590968376, + 256537761, + 655003821, + 486095004, + 575759617, + 760315056, + 960952087, + 923708018, + 452704159, + 825949596, + 359810359, + 49493162, + 420856954, + 266520268, + 740202125, + 559410631, + 650852982, + 24726626, + 316216951, + 24244661, + 240596452, + 378454289, + 881536202, + 567873759, + 734940375, + 934396077, + 605892189, + 613151050, + 568926924, + 105894907, + 263593499, + 231652026, + 251039401, + 671649415, + 125004997, + 95815095, + 996413544, + 687288362, + 2399173, + 823134991, + 513047985, + 379720803, + 410861277, + 802922596, + 106074314, + 174011761, + 930638222, + 677301431, + 405367220, + 115095629, + 423101505, + 376896422, + 617607859, + 69144422, + 702808142, + 776313913, + 153175789, + 654898839, + 655286068, + 733291151, + 36206238, + 737928218, + 159276284, + 690424534, + 893896569, + 613207822, + 878724738, + 484139067, + 221190027, + 288314688, + 416084474, + 606936568, + 526090221, + 303598561, + 767242888, + 743342646, + 724223412, + 871641745, + 1359147, + 144477282, + 941808716, + 537031096, + 27317344, + 720412871, + 349578755, + 637987232, + 27701068, + 184347079, + 4786174, + 846021676, + 630418072, + 80726181, + 773739771, + 276705764, + 363519261, + 11512557, + 820838869, + 547395246, + 13444223, + 144909261, + 637822178, + 639890846, + 281278494, + 584124689, + 410382350, + 469194336, + 995146579, + 281539541, + 86175915, + 39161265, + 369630055, + 200525863, + 893767504, + 556201119, + 445225443, + 311572532, + 973592667, + 324496299, + 744744951, + 660424814, + 876678148, + 431769353, + 909736814, + 493832122, + 387633548, + 58660654, + 788948124, + 82107135, + 328907354, + 79146663, + 835693550, + 720261614, + 142307710, + 944140810, + 913452187, + 884212592, + 929337701, + 894418998, + 757154956, + 131082993, + 688083262, + 687376628, + 790080686, + 494345503, + 897813780, + 797428220, + 924602452, + 47814769, + 948076101, + 485364400, + 619155838, + 294327034, + 338201043, + 291419511, + 368283810, + 70206647, + 637553876, + 35365943, + 526242086, + 981154520, + 713814138, + 594943956, + 27327393, + 487465426, + 892648942, + 376915531, + 157583370, + 639277155, + 619652717, + 216921520, + 811392725, + 47111942, + 583162248, + 602902227, + 409084591, + 86603101, + 794997606, + 169388884, + 861716407, + 979949901, + 778877503, + 956745577, + 573844662, + 330943889, + 126631974, + 616273247, + 196812767, + 856687346, + 732757928, + 519791431, + 164296175, + 770960496, + 192578975, + 144300610, + 885950222, + 739681293, + 167644227, + 184526169, + 159088228, + 653750573, + 572134596, + 698276287, + 127457217, + 559150521, + 741590131, + 33941000, + 273629097, + 228065917, + 878810163, + 520024570, + 587907099, + 846466038, + 485151134, + 947548574, + 648666688, + 886042641, + 203128122, + 699181585, + 898831122, + 385185567, + 388284692, + 562487968, + 186433825, + 51217373, + 722018921, + 50310262, + 73762295, + 37942011, + 297786429, + 196729063, + 886638967, + 238658656, + 181219359, + 371951954, + 466281427, + 684360955, + 476516807, + 267869140, + 43592724, + 318663536, + 447577144, + 940021573, + 426513430, + 627014655, + 801248963, + 976887832, + 859104733, + 715180943, + 672502860, + 145372525, + 7587744, + 808082184, + 878689134, + 486669326, + 346028367, + 83158926, + 261715493, + 642791974, + 666754414, + 712889664, + 582420031, + 862331931, + 255664453, + 734193000, + 812613141, + 93631877, + 951058179, + 395614599, + 631192176, + 820988680, + 760497259, + 407274243, + 740216507, + 691389562, + 407577658, + 304974010, + 699405243, + 14979927, + 974503185, + 923084548, + 815387539, + 920182721, + 65929804, + 202016378, + 585405688, + 899511295, + 277254326, + 758456488, + 356541325, + 661452959, + 729807051, + 540698731, + 301357818, + 808206170, + 787714140, + 823222657, + 758326, + 489501282, + 992665762, + 548692956, + 313877546, + 453418512, + 838587084, + 530027872, + 269832277, + 654506177, + 114283323, + 265286235, + 377194629, + 562367442, + 918629767, + 845974478, + 126932906, + 751041799, + 662812209, + 886987394, + 70915417, + 426904323, + 40182667, + 76393896, + 315507838, + 626794494, + 867229843, + 697541710, + 212781647, + 494560644, + 586082943, + 869444833, + 64529997, + 903233421, + 265272640, + 50641756, + 98144061, + 516309639, + 561354276, + 1241060, + 815840353, + 285669350, + 222757985, + 737037860, + 690493989, + 678305246, + 189567894, + 523068873, + 555585169, + 276541045, + 403824355, + 329346905, + 265401828, + 993860252, + 31730864, + 530914274, + 999463212, + 929372114, + 336226354, + 547197870, + 976121914, + 377710750, + 676899270, + 456367935, + 965748398, + 565689751, + 246932079, + 213280792, + 778280483, + 466551591, + 687657822, + 866343691, + 758805867, + 700999127, + 949583872, + 810656148, + 909103020, + 493586026, + 124518593, + 652633017, + 571090595, + 488751804, + 259726970, + 44334406, + 445736121, + 964206945, + 357597806, + 55348884, + 889926562, + 513527036, + 529719084, + 113590076, + 550093319, + 651523523, + 551968830, + 215140960, + 61621264, + 484701539, + 263782843, + 141735988, + 836449807, + 586756709, + 481318146, + 415294332, + 655546062, + 429270980, + 563960029, + 544430013, + 474670294, + 775805750, + 712207997, + 854762086, + 241102115, + 280159460, + 119563747, + 633998234, + 310632073, + 409370322, + 670403338, + 996972397, + 578190057, + 905592068, + 627600500, + 682666375, + 756095951, + 899016185, + 161607268, + 570512200, + 442615821, + 337613038, + 799628100, + 532445407, + 256432506, + 353305096, + 287124812, + 746365215, + 814014246, + 245247540, + 543071564, + 207049014, + 798409292, + 489597702, + 648298216, + 54320822, + 426258908, + 837313228, + 135091074, + 723387175, + 143528304, + 321308667, + 702518826, + 336658910, + 234579543, + 582784995, + 846504844, + 824014809, + 999321984, + 756845481, + 842017001, + 548883982, + 171782161, + 531679989, + 379890992, + 600141213, + 977138498, + 581120468, + 402231604, + 833787406, + 434343310, + 491502611, + 93770247, + 37631531, + 43263409, + 281776637, + 935502493, + 198269401, + 702353909, + 673771829, + 413687828, + 658862922, + 533222996, + 210185529, + 50632319, + 991493715, + 7004163, + 829949828, + 934300249, + 230711221, + 200794950, + 835193552, + 568835271, + 636927687, + 859713539, + 719663912, + 122565904, + 561737258, + 979270477, + 504060841, + 435651578, + 795750278, + 365286032, + 404861357, + 29374393, + 375782098, + 154680545, + 699710683, + 944541068, + 349368795, + 555927942, + 145463214, + 371532782, + 131871177, + 242958410, + 198517255, + 485133651, + 527707346, + 41042364, + 730569357, + 349388230, + 843206665, + 367635941, + 746358043, + 139788526, + 223772271, + 123877330, + 294425124, + 854254920, + 523848778, + 360481945, + 211217421, + 549351937, + 802355802, + 242469909, + 711416224, + 825197371, + 905371525, + 591566851, + 759871153, + 857783078, + 735303743, + 269562034, + 228372153, + 18364031, + 375681226, + 562280279, + 124985374, + 961273928, + 106751295, + 34710970, + 487938415, + 802949307, + 826592008, + 657032380, + 425482637, + 243985626, + 953205725, + 523006441, + 464963779, + 775542741, + 658529683, + 777323353, + 434972761, + 560217221, + 71832268, + 691211741, + 558005844, + 282638332, + 844142504, + 652415037, + 717303812, + 217240466, + 288818332, + 846088553, + 57580257, + 765574394, + 53885671, + 599604101, + 420474104, + 524659312, + 30553438, + 884351708, + 109328534, + 910647625, + 358185870, + 73987102, + 229496598, + 534177476, + 757888590, + 731649855, + 429648858, + 787601976, + 719435874, + 526184065, + 511776042, + 259622198, + 748465473, + 811524339, + 783158461, + 628188955, + 211249512, + 460759309, + 314649882, + 394187580, + 357163156, + 111020311, + 301203040, + 551455298, + 358476241, + 136398143, + 159077166, + 209772568, + 734266334, + 933910745, + 134348501, + 267015447, + 191834955, + 302160647, + 877641974, + 457885199, + 315488877, + 784373067, + 457952867, + 953928713, + 14227146, + 672402766, + 822389883, + 906764259, + 705414997, + 27013677, + 792408410, + 979764593, + 190214166, + 684633560, + 684601098, + 697069139, + 422981239, + 476775166, + 993910660, + 543528162, + 386953677, + 267846200, + 108898458, + 123580342, + 820218190, + 147768419, + 91801463, + 708357973, + 482817139, + 736551990, + 289925336, + 116971302, + 182927790, + 63407470, + 209471088, + 669049020, + 941128386, + 30735245, + 408490791, + 3907014, + 150406015, + 719620746, + 31831897, + 186415387, + 15010954, + 851726842, + 545401636, + 1061595, + 260266439, + 226863414, + 748056551, + 368062603, + 545826171, + 830410778, + 783681331, + 340584944, + 835329710, + 941446401, + 283184656, + 241722169, + 308833460, + 960005550, + 272646794, + 374612865, + 148167146, + 312454619, + 487784796, + 891176216, + 106505593, + 315427404, + 731972321, + 243778675, + 985640602, + 90309819, + 433529001, + 582098231, + 949727249, + 356783478, + 719452198, + 665264143, + 244422805, + 149246914, + 996666078, + 95224846, + 809873695, + 254255447, + 843504264, + 121878560, + 526104920, + 670705096, + 190589707, + 648386439, + 125353749, + 63236637, + 867200670, + 241432791, + 252974335, + 583940404, + 524607408, + 762382843, + 203959361, + 507650136, + 191215246, + 395532935, + 661318259, + 310271342, + 997187035, + 184757833, + 817785248, + 680017810, + 788476255, + 132230152, + 327865162, + 396471444, + 260061700, + 591118063, + 324818262, + 130051462, + 598576959, + 888312510, + 919013911, + 498673820, + 171388611, + 729397402, + 500823731, + 317594831, + 905056636, + 762233536, + 270193105, + 718828879, + 735623051, + 253345552, + 502411444, + 83972171, + 269752228, + 68994413, + 966763679, + 692149605, + 137492797, + 244069944, + 961435949, + 446558148, + 617574735, + 245262491, + 526298357, + 98802338, + 360104749, + 683632015, + 246158883, + 758500140, + 112307794, + 893531231, + 400226798, + 525487316, + 765188822, + 803969167, + 978987436, + 234338605, + 477255301, + 780499236, + 748416215, + 549887236, + 426344070, + 250649381, + 491602365, + 645959900, + 522507577, + 107317277, + 946273306, + 272095517, + 521975296, + 308446610, + 692043909, + 23748453, + 312184959, + 310148759, + 776413426, + 768560778, + 532265386, + 482244843, + 291029624, + 779855267, + 268736036, + 146393241, + 181997807, + 912570425, + 752656334, + 867357611, + 825091054, + 740835837, + 125985114, + 244449188, + 721722408, + 871975219, + 298634433, + 177580640, + 32925673, + 687462229, + 684060438, + 475402774, + 303047455, + 521132371, + 765511786, + 196370431, + 382269368, + 152708521, + 611058046, + 572527464, + 829689370, + 441033762, + 379227731, + 946707049, + 222291890, + 682016904, + 935416592, + 25671644, + 528056136, + 73368238, + 995687522, + 533759792, + 539434133, + 428585946, + 783533652, + 444814075, + 831217225, + 287898744, + 99431486, + 262912120, + 198849987, + 869884693, + 563445718, + 737420484, + 818140263, + 989100375, + 710973559, + 9252216, + 5130747, + 398282759, + 366063040, + 332291531, + 45768850, + 959943933, + 31335120, + 598701297, + 389189947, + 385757933, + 187387056, + 332310, + 160748489, + 959682373, + 338386105, + 137287338, + 883389119, + 689876352, + 314729437, + 657021334, + 979261960, + 107449043, + 930904206, + 807590296, + 922453176, + 734153532, + 971276235, + 765817794, + 797090236, + 340405868, + 530972905, + 183253970, + 114585716, + 222115108, + 431012093, + 647369474, + 669344679, + 569085196, + 375567660, + 775970510, + 721916531, + 729344373, + 906072491, + 88603136, + 491297163, + 682371120, + 214612920, + 123673103, + 825541371, + 842079180, + 107784489, + 246027068, + 469416843, + 192399675, + 241544226, + 580744227, + 27177043, + 496959334, + 490487155, + 945831092, + 138071151, + 102960491, + 699087652, + 286314031, + 103417266, + 410087329, + 417201823, + 182316670, + 670290103, + 622755892, + 525694442, + 486026872, + 556383025, + 322312625, + 34743112, + 14320643, + 157587079, + 686078404, + 486821809, + 297519644, + 237913609, + 758638609, + 803381736, + 6080624, + 560993758, + 989518697, + 120793681, + 289992266, + 171079899, + 475755469, + 390112420, + 949771270, + 125859907, + 845514253, + 48484200, + 145488666, + 368398426, + 307209228, + 92885278, + 542449224, + 436064108, + 485594860, + 284240332, + 33699602, + 75246796, + 231958211, + 356672655, + 455582018, + 374034293, + 200461198, + 340624063, + 997155511, + 648087626, + 666858793, + 450077716, + 40746079, + 63796507, + 143921665, + 182438762, + 733218927, + 583514074, + 838299714, + 39166921, + 323719461, + 942450321, + 91070488, + 284196760, + 865172073, + 432852250, + 279993823, + 791538985, + 532034256, + 700415783, + 287994390, + 73492940, + 348717436, + 529017756, + 870896681, + 917214773, + 413916241, + 41856566, + 646143104, + 62299416, + 451718045, + 185485503, + 953447917, + 708741762, + 369761225, + 341417818, + 430621847, + 154774977, + 896609762, + 822205581, + 545675251, + 796514621, + 665819708, + 889677251, + 708851578, + 80147835, + 588546166, + 415870577, + 893155126, + 879011177, + 386757210, + 848874017, + 934123973, + 147197377, + 424273533, + 589499875, + 578440681, + 6964109, + 793625609, + 337967185, + 809814615, + 188726984, + 558071747, + 639178521, + 561972153, + 726730842, + 983135540, + 2081235, + 879284471, + 655033708, + 767757225, + 249231267, + 79265248, + 749978881, + 259533640, + 179433036, + 140538681, + 515794177, + 200457670, + 680764716, + 143609110, + 641866525, + 476932301, + 236755911, + 539515176, + 116264418, + 634053582, + 57144860, + 997881970, + 437243723, + 12714765, + 791692154, + 688127069, + 535806545, + 107638375, + 935151876, + 732803384, + 907840686, + 393087822, + 847402969, + 346267216, + 254734569, + 876849878, + 841113036, + 608367597, + 345094706, + 781897674, + 956234853, + 887605863, + 250009302, + 400585554, + 85949680, + 579245272, + 622863366, + 112067211, + 62209796, + 30014330, + 348441414, + 899454508, + 786308330, + 256787752, + 549606925, + 526350735, + 796728684, + 523894677, + 592034884, + 35143740, + 561224653, + 395765641, + 23966086, + 821570352, + 944838230, + 150944462, + 690227106, + 170911052, + 690070288, + 753374713, + 338005657, + 861597927, + 595595196, + 488362955, + 43976271, + 89517478, + 601893084, + 144622608, + 94229513, + 689266509, + 691666613, + 794870550, + 722878901, + 744170154, + 500608235, + 874269136, + 189032448, + 388230176, + 670274735, + 960101893, + 653734062, + 436269266, + 320534201, + 175400475, + 503643675, + 214029342, + 155717636, + 910080848, + 565475509, + 77912777, + 68135389, + 254624705, + 326451334, + 741136630, + 263110111, + 806045676, + 494212789, + 227212256, + 587000885, + 880924939, + 328699997, + 48505712, + 73942177, + 894452173, + 932775493, + 689822875, + 29714712, + 619289015, + 74799073, + 709419045, + 837376264, + 151113971, + 450229339, + 417470505, + 680272047, + 295353685, + 164843334, + 799340863, + 715779216, + 479778783, + 19904260, + 437709233, + 531419012, + 638266498, + 234817123, + 387528303, + 874016316, + 624452229, + 336784171, + 207090673, + 461678711, + 540897196, + 352168086, + 99904403, + 450815152, + 234159037, + 775482149, + 589577422, + 974673284, + 917538713, + 533343512, + 633369107, + 404138498, + 879132426, + 862242479, + 897989840, + 154760470, + 103299465, + 332371258, + 99732054, + 18281397, + 160300561, + 838747316, + 194107377, + 427177743, + 126615857, + 700019034, + 993276356, + 972115407, + 838484213, + 956018065, + 55476684, + 347330609, + 503111515, + 986984970, + 138162465, + 926072760, + 505061305, + 52666810, + 979756838, + 925326109, + 214731139, + 842694911, + 338155808, + 837670785, + 474724318, + 835846570, + 547003355, + 647322791, + 831906599, + 201659348, + 174527889, + 846962649, + 852282039, + 18974496, + 395477248, + 601682022, + 671303428, + 626467046, + 310084851, + 784616394, + 212654772, + 384217618, + 14361168, + 109264045, + 570916841, + 412275987, + 688475336, + 360353914, + 87488137, + 118016963, + 878957106, + 812465175, + 599600261, + 415174659, + 531428694, + 154790002, + 286614759, + 28608188, + 214529482, + 936390648, + 165554782, + 339484286, + 773334527, + 557239519, + 739255933, + 234856274, + 675835949, + 768575760, + 939726303, + 369730888, + 413386830, + 6981849, + 944504715, + 296302349, + 357976490, + 570588673, + 280872680, + 406421258, + 964055629, + 103211165, + 957763774, + 554260424, + 471451211, + 511550985, + 657495785, + 21239963, + 737955568, + 125350060, + 536128852, + 684890347, + 832296231, + 534235617, + 73336188, + 144466064, + 976738662, + 361311321, + 53261981, + 203912186, + 59993215, + 37822164, + 598695243, + 447458634, + 75822046, + 696465340, + 151167326, + 484837784, + 700700248, + 635715082, + 937199336, + 116093508, + 408718130, + 141865086, + 30242427, + 882343778, + 107509795, + 549084528, + 113031379, + 827957260, + 207447611, + 79160556, + 157206423, + 325604057, + 431118524, + 332570024, + 132828109, + 194153390, + 16285683, + 597337757, + 141537578, + 597164954, + 644819414, + 548487574, + 676439973, + 887155066, + 408766075, + 374064251, + 627280172, + 881583908, + 686476007, + 260488690, + 459543401, + 234501636, + 767151121, + 767286150, + 304516992, + 899451753, + 413666127, + 81381068, + 760811276, + 11682851, + 229369427, + 443928257, + 348920485, + 114412414, + 824639638, + 320417292, + 719604033, + 208099192, + 661792873, + 355604755, + 489208379, + 720177760, + 767727266, + 801967834, + 697934799, + 373979260, + 625449082, + 900819067, + 524569770, + 968677400, + 959519638, + 568653859, + 889318694, + 392277899, + 572394329, + 563721391, + 78280642, + 277687371, + 634812929, + 383653244, + 1616646, + 341182599, + 767499673, + 977704935, + 455950979, + 797182583, + 692821049, + 903203194, + 740271495, + 894536712, + 85290179, + 42844791, + 644749591, + 757718515, + 612949254, + 458091034, + 831395515, + 944748208, + 536173620, + 812307699, + 869672483, + 715601222, + 22982600, + 957516465, + 130948594, + 608865699, + 431473383, + 633367288, + 151337003, + 715567693, + 831616464, + 250093093, + 343893741, + 147873990, + 367153030, + 315137205, + 851098290, + 443492342, + 41075170, + 721717104, + 461908009, + 987971305, + 968100371, + 71306484, + 658917665, + 447461343, + 198329190, + 742103031, + 403801750, + 547559475, + 270692480, + 244243852, + 958002533, + 605012317, + 249605865, + 627489474, + 558646379, + 436918545, + 758600232, + 863514135, + 680991348, + 102358884, + 100736632, + 944869588, + 864842023, + 239080140, + 88617790, + 580786333, + 398371367, + 919695901, + 569156348, + 125404541, + 60334877, + 512654382, + 361118584, + 332195569, + 899827025, + 315075125, + 32303356, + 159523070, + 447797144, + 412457883, + 59537268, + 468789987, + 400367419, + 382445870, + 847229782, + 219896709, + 35280270, + 519209758, + 524822066, + 3233310, + 547716377, + 953918557, + 620592083, + 744937048, + 666580151, + 884822616, + 847930429, + 633681921, + 358278295, + 315886561, + 952205226, + 19912593, + 415016144, + 980881829, + 189853511, + 917642325, + 631479521, + 576068353, + 844964085, + 675816850, + 435696466, + 663350028, + 121972998, + 346292047, + 482300635, + 89532418, + 406226974, + 186090623, + 462572278, + 669375369, + 5408488, + 752244415, + 850143099, + 592811818, + 877360436, + 816585041, + 267807363, + 928359340, + 490279915, + 879454965, + 140047357, + 162866020, + 521186048, + 686310037, + 896098661, + 145718718, + 910491459, + 239452718, + 864690449, + 283246290, + 256832224, + 712164024, + 292750308, + 33461981, + 936339733, + 443340585, + 621803616, + 215827426, + 404292443, + 578464817, + 864099455, + 673847716, + 698485360, + 120501175, + 254883510, + 23893532, + 972265483, + 166773984, + 688026346, + 903074196, + 139340168, + 903871254, + 915962556, + 376194413, + 239215062, + 747637726, + 691450567, + 614536958, + 632279476, + 313162116, + 946973310, + 914098190, + 354101917, + 333146126, + 894716540, + 499692257, + 695303328, + 671758223, + 269663143, + 553832402, + 109829107, + 547498364, + 959396616, + 936494093, + 267398087, + 803502298, + 444148085, + 186432654, + 568443478, + 128036394, + 869405998, + 676956845, + 323497183, + 368841210, + 331874643, + 468833548, + 238938311, + 727440452, + 352338021, + 196183083, + 923794085, + 647620836, + 423128551, + 566274816, + 942898140, + 595533634, + 373591247, + 503450648, + 301916466, + 8708120, + 642390020, + 960366268, + 417079708, + 19505217, + 718437283, + 994272337, + 576266953, + 267978380, + 620876115, + 560503150, + 104881744, + 588577337, + 853021532, + 92773150, + 331318249, + 40110799, + 537465878, + 99091266, + 715165496, + 143295717, + 559433274, + 232148910, + 646022496, + 753034835, + 511186097, + 666038148, + 21304319, + 640529253, + 189355797, + 348960957, + 861505285, + 772465162, + 106856831, + 276835068, + 553306661, + 594996372, + 301654227, + 572507808, + 78309419, + 924568234, + 98232032, + 793021913, + 711613980, + 178313275, + 248950636, + 175842426, + 635103927, + 648551638, + 149175721, + 106929333, + 681295125, + 195268085, + 777020239, + 545394095, + 952433086, + 431032492, + 33199450, + 639097493, + 674713037, + 373250856, + 965884177, + 808755756, + 799244766, + 874813906, + 288041242, + 972752016, + 56146326, + 570362108, + 935808679, + 262328559, + 215709345, + 919935644, + 833924640, + 221800020, + 449290613, + 324667430, + 878602819, + 535946140, + 808444930, + 230631535, + 674122035, + 266791111, + 60396163, + 921155403, + 821742062, + 476924890, + 361644767, + 72403480, + 49853218, + 747630009, + 328061877, + 417439488, + 441033656, + 632159512, + 507820721, + 522538070, + 402865791, + 855645408, + 573952911, + 283054350, + 765745744, + 537792458, + 839929118, + 554073294, + 59924421, + 136721373, + 808381582, + 364457444, + 453435390, + 402637446, + 753919866, + 960999911, + 119331766, + 251289717, + 436669280, + 182959411, + 756668304, + 200061312, + 639127990, + 595742744, + 442025654, + 763865471, + 45364622, + 984634075, + 24386047, + 285076211, + 553281647, + 36658000, + 403978309, + 146293223, + 293518758, + 39242324, + 602427218, + 955698155, + 291735536, + 425142178, + 75573636, + 460266447, + 659879658, + 544628691, + 943659730, + 491755148, + 584904449, + 414747421, + 65881365, + 976418335, + 361809044, + 328089179, + 964390969, + 950865970, + 17441554, + 991030273, + 339159023, + 590015895, + 277362288, + 697562806, + 106295843, + 390948291, + 632721428, + 185630689, + 897951902, + 142045815, + 558379476, + 444337643, + 44745411, + 161987194, + 226963391, + 911420654, + 976080276, + 893233652, + 868123763, + 333580982, + 456166449, + 553226012, + 429155676, + 92484550, + 307074065, + 410004017, + 889360299, + 565314544, + 241794172, + 436631745, + 174423984, + 852262193, + 710263851, + 260431951, + 546490030, + 785215293, + 503322380, + 109051541, + 311081459, + 531805277, + 831672011, + 457192453, + 741254711, + 618690461, + 58033924, + 458754281, + 361402738, + 428617505, + 171527688, + 86775423, + 517784449, + 258114637, + 258639601, + 747565466, + 130007837, + 3824845, + 93132914, + 233111935, + 259801548, + 149413240, + 983993691, + 797668615, + 918119212, + 64008440, + 727563489, + 312748211, + 806530225, + 866354155, + 445614416, + 903652120, + 203652303, + 886830107, + 140246481, + 263444821, + 487926631, + 642834126, + 430543872, + 797090506, + 318096696, + 507881666, + 913908099, + 11604038, + 127172645, + 357073165, + 927274288, + 707900290, + 399462925, + 207720041, + 369532459, + 713115912, + 435903218, + 890799763, + 359602672, + 936757949, + 53399469, + 863989773, + 753734723, + 212994396, + 614085, + 891786927, + 370823381, + 566691107, + 718646251, + 442898749, + 452139134, + 320961586, + 354088058, + 468086759, + 706349926, + 53032139, + 599933231, + 446990631, + 444222755, + 372571834, + 698225119, + 695399666, + 773574399, + 357184755, + 776504072, + 732137473, + 709119495, + 636698340, + 844173280, + 82185779, + 539007567, + 9446286, + 83539706, + 442043065, + 112979215, + 770200179, + 968899491, + 858582385, + 360788009, + 591691548, + 389559186, + 336045146, + 534624429, + 59063331, + 715080752, + 113577201, + 987124861, + 641187180, + 724691310, + 213828395, + 360706711, + 719910163, + 856165805, + 996203522, + 952128882, + 703174068, + 232818133, + 634861302, + 251314743, + 576130620, + 891228599, + 486125878, + 347373354, + 52345979, + 128590367, + 623188252, + 624162653, + 962840768, + 191294364, + 913331870, + 154984041, + 100738988, + 965337639, + 66372124, + 819650510, + 474557643, + 236107285, + 789901808, + 228091145, + 557034352, + 973535882, + 299116824, + 586760351, + 919651985, + 961388014, + 543399430, + 766958569, + 894780133, + 82087971, + 590419346, + 925531041, + 579062029, + 720235956, + 296886807, + 807992629, + 614995145, + 598264088, + 243167457, + 397911710, + 61253677, + 91652372, + 379127543, + 273371304, + 873818489, + 180069344, + 582614778, + 450787111, + 439930485, + 301994391, + 172207571, + 268398348, + 890519151, + 324178453, + 49325071, + 167737300, + 469953303, + 494682128, + 863564786, + 379510961, + 689764652, + 920206372, + 84701663, + 536313610, + 238050325, + 839640831, + 596351160, + 167564077, + 982270299, + 970680906, + 516740209, + 680315547, + 485981814, + 345284543, + 46138708, + 260154757, + 951418001, + 87190965, + 684993063, + 407087809, + 182928954, + 86958420, + 785384537, + 598499837, + 497547438, + 733147693, + 996554609, + 483929121, + 298046403, + 280071453, + 182201137, + 258234946, + 519357495, + 775316726, + 481500777, + 378576679, + 213015413, + 925743368, + 27325096, + 807576244, + 479734205, + 258359972, + 967227, + 911207975, + 265318437, + 476009591, + 667104769, + 186032845, + 659780186, + 875108674, + 354291436, + 126810023, + 820601994, + 295726725, + 724979290, + 567579013, + 122925213, + 332448980, + 890660336, + 194800023, + 796117546, + 305476044, + 132448718, + 297922480, + 982015526, + 926552629, + 329339295, + 880758407, + 955707493, + 404114257, + 479776440, + 416277834, + 665259754, + 967297698, + 895668877, + 765533058, + 644604533, + 19766440, + 937495159, + 374871503, + 759097578, + 898219041, + 453288928, + 940326167, + 596071104, + 213452496, + 251154939, + 120981557, + 143450911, + 729162194, + 916388434, + 915918014, + 636253694, + 673753950, + 737828766, + 253480748, + 611332843, + 473403153, + 83130062, + 186440894, + 862301875, + 709879494, + 155794511, + 309553452, + 583303847, + 373194393, + 997182042, + 534294410, + 598556869, + 663967431, + 53656262, + 780834477, + 953191418, + 713183738, + 35773636, + 206857349, + 960533711, + 530527494, + 737030882, + 697351356, + 40991260, + 489215176, + 792718472, + 606782076, + 542403926, + 724173148, + 238621950, + 435022195, + 488311403, + 436226960, + 314979943, + 193558304, + 374905406, + 870519144, + 981998494, + 693000922, + 988395328, + 797987201, + 564663247, + 883618478, + 122371689, + 275580554, + 796079454, + 598785764, + 434225902, + 795750553, + 393578899, + 750770899, + 686313468, + 822126843, + 782545868, + 832183920, + 671106083, + 144341797, + 700451317, + 682448248, + 286482938, + 857962572, + 580347433, + 654803229, + 20331307, + 192428094, + 241231025, + 666908657, + 640002483, + 488858255, + 307392177, + 36891839, + 759451533, + 278546701, + 413682854, + 538439375, + 791577454, + 659576628, + 468769084, + 24871781, + 42851931, + 277370287, + 942962095, + 940436075, + 674662222, + 223154700, + 389087925, + 288949462, + 956671979, + 784701640, + 605593367, + 992701530, + 486496081, + 305008458, + 758641137, + 465275842, + 956463323, + 939876469, + 610897834, + 599358067, + 415940385, + 504626416, + 328576710, + 17217047, + 419754822, + 671319092, + 932054257, + 984890464, + 806855482, + 417809640, + 177148459, + 440058847, + 539278363, + 653060463, + 955068168, + 593253126, + 887756207, + 787136554, + 361893918, + 354498579, + 150772784, + 31699000, + 84003374, + 169566356, + 429598682, + 87540963, + 71516326, + 447912785, + 792729602, + 848795911, + 944124125, + 251091054, + 590379615, + 237696705, + 287462036, + 417933260, + 848542971, + 487557133, + 74428201, + 485713542, + 513593751, + 336148722, + 448567158, + 290922947, + 939599864, + 299746508, + 76523942, + 75042446, + 736253934, + 994781062, + 171272606, + 699574402, + 435585880, + 851279441, + 652000345, + 474764919, + 397625217, + 163742404, + 693953240, + 861222428, + 88102557, + 986263237, + 508710000, + 991568119, + 578697098, + 193714424, + 387517530, + 992330945, + 63610347, + 912565908, + 990635183, + 290701184, + 454301595, + 403512639, + 70307908, + 857107123, + 762394623, + 841902486, + 666159582, + 366230066, + 221898371, + 542082790, + 854669158, + 965136461, + 202492638, + 793340909, + 690142410, + 231776610, + 926449425, + 910977129, + 230300040, + 750549056, + 419675764, + 110247652, + 945269000, + 970911039, + 63396117, + 424771911, + 741862566, + 231717581, + 266119486, + 326694898, + 745798081, + 810752844, + 230616021, + 254245882, + 186054504, + 807808752, + 453254538, + 328163355, + 713796846, + 711538019, + 551722277, + 923601592, + 396731197, + 197256270, + 231184816, + 915983645, + 484609966, + 276340230, + 664565909, + 555698194, + 741410215, + 94295545, + 245588591, + 933569526, + 108396010, + 72166270, + 957300702, + 673149963, + 688732366, + 601669809, + 495959351, + 701770904, + 263323826, + 275253286, + 124367722, + 2734600, + 420488510, + 80913777, + 326269489, + 106918400, + 613319399, + 934400777, + 439737807, + 680376019, + 799638715, + 707167213, + 955356673, + 157012925, + 551588408, + 419059661, + 873550859, + 491599467, + 941527032, + 727612131, + 139892498, + 949157918, + 757483275, + 624436025, + 529363734, + 143406928, + 909198936, + 748072490, + 634327877, + 18104425, + 379430137, + 118084030, + 827048088, + 710799903, + 623524562, + 991691175, + 358492755, + 67591133, + 241090140, + 503549537, + 457175122, + 350921434, + 750497064, + 64988700, + 859336356, + 237058357, + 137144775, + 343793704, + 326505408, + 497189043, + 892983307, + 237131281, + 935311269, + 359309429, + 80239012, + 24801479, + 501307990, + 624878903, + 265940849, + 306422625, + 52500088, + 482848509, + 132717108, + 921646677, + 513754830, + 439585270, + 529799753, + 245920117, + 657433183, + 387778822, + 935556434, + 377164569, + 773224679, + 391455270, + 917325682, + 805970655, + 22766151, + 531614558, + 325602180, + 428727683, + 343339065, + 326973139, + 75700361, + 914606244, + 952587246, + 515312109, + 145961359, + 997273968, + 144564614, + 908274600, + 726530551, + 655006923, + 788305502, + 473829797, + 678169028, + 813486710, + 742409090, + 248239602, + 239286729, + 343829113, + 73181693, + 596205035, + 399138277, + 449901593, + 653701684, + 851323690, + 812905215, + 536834390, + 251498622, + 191559987, + 429210439, + 333664263, + 272405973, + 243333569, + 816625282, + 394969278, + 526271870, + 157390056, + 823739262, + 174032266, + 53097163, + 546286788, + 934054524, + 606528329, + 604306554, + 123031184, + 66519386, + 935274240, + 322720622, + 461829036, + 971124327, + 283023026, + 313003892, + 600600973, + 619035885, + 973374058, + 39825, + 200206299, + 42347269, + 73732344, + 273228295, + 532791109, + 847358537, + 361338355, + 371344527, + 376952847, + 306044107, + 857936433, + 257853609, + 4139262, + 880192936, + 946227645, + 277191246, + 984270515, + 384483395, + 554834928, + 579025521, + 279133744, + 44418629, + 177523319, + 933508740, + 239194651, + 224648962, + 956979983, + 555467453, + 221553626, + 332609125, + 914506387, + 115189144, + 119353705, + 301683539, + 925350999, + 985227683, + 828707860, + 293511065, + 721566560, + 841822295, + 889991993, + 404259123, + 787204592, + 512681495, + 459844120, + 114282188, + 254653429, + 211636413, + 555080057, + 469882947, + 87028688, + 221499898, + 17167209, + 516576539, + 547609455, + 581198527, + 857996296, + 653031600, + 679175475, + 747692458, + 755721184, + 725398568, + 747772763, + 345131604, + 617778793, + 984802228, + 658791631, + 533883228, + 989469540, + 362321013, + 612477206, + 563470021, + 417577705, + 936512024, + 246856648, + 167541860, + 186272290, + 734169420, + 941479057, + 523255211, + 862427987, + 489019477, + 549742769, + 629794235, + 1145583, + 564674985, + 459175465, + 341343488, + 748692303, + 391698902, + 759073987, + 214827023, + 225939692, + 672683471, + 260578935, + 602733683, + 946632319, + 3911113, + 534103402, + 449077264, + 132129961, + 389758864, + 671513637, + 439904258, + 190170600, + 685417699, + 139894268, + 258040904, + 200334579, + 693054931, + 895493180, + 114454729, + 8972787, + 341758372, + 26343267, + 555367778, + 690765421, + 580958384, + 337409685, + 149366458, + 276875064, + 695048460, + 36518971, + 734884482, + 831110138, + 764364067, + 86060433, + 299543698, + 636158625, + 720725846, + 160792987, + 88725375, + 923786212, + 657934936, + 338469792, + 834367976, + 156012032, + 388862765, + 493568946, + 373442644, + 748626922, + 992931962, + 79694534, + 132985725, + 431510537, + 60233134, + 948127898, + 457540049, + 345597233, + 985695178, + 780191773, + 605334852, + 632780312, + 48939293, + 273148917, + 120368028, + 516598947, + 785875825, + 551225051, + 287247270, + 218549497, + 732195266, + 970082344, + 327083142, + 329278064, + 701551283, + 161785731, + 587128510, + 821944980, + 30556133, + 273212081, + 827874491, + 577829261, + 253863588, + 716825404, + 149417073, + 212947487, + 393458078, + 570170768, + 158868666, + 21531319, + 416836166, + 94155425, + 375415448, + 848378056, + 64156827, + 291416978, + 666546806, + 909675659, + 495715432, + 586548240, + 881674190, + 345839218, + 143007099, + 327952575, + 856311612, + 976111976, + 625108241, + 76989415, + 651451962, + 273090621, + 744577107, + 405200504, + 176434506, + 956103016, + 248645083, + 390437760, + 867778426, + 19834824, + 181686803, + 372485690, + 189284301, + 526122275, + 572375486, + 503178770, + 963761103, + 971635904, + 276050488, + 393037525, + 754309357, + 680312567, + 596724844, + 719467883, + 614914612, + 905901249, + 377493859, + 990639316, + 154190033, + 670432958, + 274367469, + 313081679, + 102418800, + 26694346, + 185660012, + 218877287, + 213852814, + 441499435, + 72566398, + 899972694, + 641963663, + 580545800, + 990874750, + 199883995, + 351599201, + 487131143, + 457229429, + 404670433, + 4933619, + 898026554, + 703484347, + 535581311, + 9286018, + 144353800, + 260261518, + 566325691, + 970513587, + 768310366, + 889023785, + 173601812, + 535956854, + 455093153, + 87811404, + 843076176, + 473985374, + 420067528, + 990636626, + 740993649, + 157246543, + 188195900, + 712200246, + 374142337, + 901937928, + 26928655, + 653291552, + 579185920, + 277247977, + 785834624, + 549113930, + 517204936, + 498616755, + 59710653, + 286059960, + 964334576, + 565856428, + 6669806, + 352360630, + 965718402, + 805245336, + 243698995, + 523587938, + 577110944, + 689588996, + 331265609, + 451742345, + 788536690, + 947479573, + 871534312, + 719926444, + 233402639, + 238195113, + 246449268, + 265230572, + 953230183, + 491446333, + 671197979, + 7047587, + 16671666, + 240888335, + 140062060, + 706895620, + 748977270, + 492530109, + 434987277, + 337162560, + 470316883, + 933383345, + 252244776, + 618959246, + 827493296, + 875942867, + 970282902, + 626057245, + 96970027, + 849099662, + 772759510, + 197098674, + 306681007, + 709803829, + 836488570, + 273442000, + 115598660, + 488702261, + 870194750, + 57652682, + 997416473, + 529183324, + 75867853, + 972531095, + 625177687, + 184421291, + 330967023, + 664200861, + 358399965, + 604445608, + 882599504, + 752623657, + 496937357, + 59750851, + 621788307, + 635789161, + 275679622, + 827635235, + 289610650, + 494972688, + 258562653, + 737295809, + 226287271, + 645231611, + 75192320, + 572911455, + 60717784, + 978696221, + 682879037, + 677786264, + 948675474, + 339238334, + 589041248, + 549125039, + 485298582, + 883874604, + 864965847, + 765296099, + 948768527, + 30104772, + 454492007, + 914855627, + 861330003, + 842381341, + 226726667, + 929845260, + 980551468, + 762214052, + 489320256, + 798487203, + 662900436, + 469331233, + 161680823, + 417168944, + 669871431, + 127392157, + 250111371, + 35246008, + 126868351, + 93711287, + 305079419, + 479688972, + 304702453, + 811415452, + 658185243, + 845080895, + 85843304, + 155536938, + 118173224, + 315968584, + 766146962, + 638927549, + 813042777, + 855183675, + 271804840, + 40717076, + 885105410, + 899857241, + 434664830, + 568735871, + 657738442, + 737943427, + 328894351, + 301572190, + 696956033, + 921457996, + 561507911, + 179689599, + 985087370, + 113010601, + 341805605, + 388225361, + 829519317, + 417724430, + 699915482, + 647193869, + 987594114, + 453600658, + 266979551, + 447159341, + 877716100, + 925427966, + 300958648, + 518439270, + 727859569, + 103708812, + 28678347, + 180676360, + 171236096, + 894703194, + 92730318, + 330297317, + 91761973, + 299039419, + 148694167, + 183039391, + 748013797, + 384273839, + 845895751, + 248195479, + 18678431, + 910423700, + 413743872, + 640810030, + 33029132, + 759135589, + 949820960, + 707188691, + 127782889, + 38798486, + 470943920, + 479633874, + 702175842, + 455659636, + 126615266, + 914983365, + 132614214, + 110470652, + 761578387, + 406060959, + 11665895, + 945773959, + 90172252, + 231781073, + 493975115, + 431388485, + 905854703, + 887223348, + 496936186, + 907649222, + 584330727, + 947129128, + 203553671, + 131425463, + 873114819, + 55013211, + 407245658, + 214762788, + 365795404, + 306691043, + 568516961, + 883138457, + 417862974, + 103583370, + 596659562, + 230376807, + 676145482, + 124273327, + 33394490, + 592164444, + 602580791, + 38801531, + 556212389, + 458194518, + 622410982, + 69369731, + 653380598, + 136528398, + 618185117, + 653364674, + 513255390, + 623933430, + 442731736, + 30561095, + 981128012, + 366784173, + 159083276, + 497651837, + 175107924, + 580012839, + 547417685, + 253066693, + 288801627, + 534234275, + 880706689, + 300143322, + 564726276, + 275553459, + 406040272, + 254495329, + 987048813, + 64676769, + 441978557, + 18678310, + 525394761, + 704736501, + 432613354, + 138851392, + 122731129, + 268766057, + 569006584, + 92775041, + 948529335, + 457619443, + 230544756, + 368515958, + 342035753, + 544229607, + 238065117, + 778089423, + 806268241, + 804874619, + 263830987, + 796610254, + 117971509, + 409630931, + 829234682, + 170183232, + 63611100, + 290135020, + 525840971, + 841288283, + 95450998, + 331723279, + 652540450, + 145016640, + 78754803, + 499886419, + 374588182, + 763217486, + 72985237, + 631031776, + 213628056, + 537188227, + 306985253, + 270297719, + 497551303, + 130823181, + 757229236, + 434626408, + 719231760, + 2107453, + 970337367, + 561391641, + 19862835, + 926180724, + 407224549, + 599014735, + 804131798, + 187969252, + 731515992, + 576234532, + 175091503, + 847989924, + 39441746, + 144149740, + 399059542, + 347267207, + 576982081, + 773749599, + 905394895, + 762226404, + 56316634, + 694295387, + 746469779, + 588676842, + 290428562, + 881086864, + 474519769, + 395301284, + 994260220, + 219811629, + 855669593, + 423365268, + 74956469, + 41087431, + 676564891, + 774949322, + 596125750, + 361071408, + 293807262, + 59431982, + 662741489, + 238317414, + 45635406, + 78701409, + 848233728, + 389037534, + 131990294, + 385753469, + 894296061, + 127964148, + 6961099, + 926257214, + 13606838, + 288864832, + 580484331, + 328777804, + 151793963, + 46476220, + 717619171, + 476688550, + 290763997, + 133169100, + 709318920, + 817205736, + 371308225, + 216511838, + 654058190, + 766273647, + 784750066, + 82277349, + 659157946, + 671372437, + 579478278, + 661691965, + 665452412, + 940904569, + 378404277, + 124143660, + 285540609, + 445198491, + 715025402, + 850832303, + 805372353, + 906635976, + 247592222, + 422041744, + 339962339, + 685210079, + 294849456, + 969554398, + 707248416, + 415851669, + 657166265, + 551379698, + 519306776, + 942357103, + 479494570, + 330541528, + 707175884, + 889531663, + 765718562, + 410643499, + 411120600, + 341595009, + 857973460, + 426088457, + 312090874, + 233046156, + 102203318, + 483072844, + 70452268, + 855440285, + 636070837, + 289213814, + 864401731, + 614773833, + 309532466, + 136241264, + 909955027, + 768283164, + 398899747, + 143498127, + 10298813, + 638856350, + 859305241, + 988444009, + 553679392, + 475625993, + 296683191, + 899546659, + 862473069, + 965182355, + 336080293, + 406807507, + 206989007, + 111164919, + 942654374, + 790947806, + 29288221, + 308781338, + 386575578, + 345191776, + 441499348, + 656157602, + 45399575, + 12743002, + 896705128, + 427461829, + 506017903, + 413800572, + 367078252, + 755163095, + 370222472, + 32861513, + 217123679, + 665714528, + 778019878, + 435751675, + 5396732, + 538597818, + 309296166, + 427362408, + 723109521, + 205558549, + 10610330, + 157850236, + 422076531, + 356313780, + 344014077, + 834857092, + 531728948, + 586868394, + 777699105, + 650567871, + 142441761, + 40357451, + 865195956, + 25812897, + 543373533, + 272215813, + 894545126, + 506504452, + 941189035, + 270508314, + 691194995, + 107465562, + 444367467, + 292883603, + 26355706, + 631607108, + 695896801, + 823593707, + 902125059, + 723540215, + 165724695, + 820874619, + 1119028, + 220427679, + 944854213, + 596428505, + 297812539, + 487328974, + 768779587, + 42776395, + 140933790, + 806931407, + 199274019, + 410057843, + 346808765, + 11902656, + 343786525, + 235822876, + 68536062, + 813750181, + 739344538, + 276362132, + 290445247, + 973832303, + 161741708, + 945622133, + 729389152, + 647446385, + 62055997, + 951971572, + 269529971, + 861423586, + 701857641, + 646959077, + 849836966, + 221631558, + 387410648, + 737522450, + 928832683, + 441161933, + 623747643, + 161135186, + 679325491, + 35263619, + 34331665, + 296900038, + 315174268, + 709532697, + 857444952, + 72512175, + 615048453, + 392760515, + 251000549, + 851653551, + 812811299, + 916002590, + 807064686, + 352749903, + 769492970, + 403130321, + 186472067, + 358201062, + 622150681, + 102217839, + 634077878, + 112464426, + 678527775, + 424136870, + 612871883, + 624841866, + 176953403, + 32662543, + 242967993, + 413587288, + 407687239, + 701741126, + 170231212, + 90688079, + 787374492, + 170743596, + 99814796, + 522138546, + 197913327, + 634617715, + 409077045, + 23232132, + 710881604, + 979691352, + 335427626, + 130980036, + 376549076, + 363894247, + 863224224, + 39887408, + 947612893, + 591537483, + 579071448, + 547420641, + 176961251, + 593533372, + 100710319, + 197905558, + 549243433, + 487560458, + 856012353, + 92858828, + 268031614, + 106561053, + 292479019, + 137705667, + 38404934, + 263993986, + 270623413, + 252996443, + 261198080, + 81505637, + 483192496, + 822114071, + 417973381, + 12363819, + 983149243, + 262883037, + 731770525, + 748984846, + 214008342, + 997477368, + 21451837, + 82987402, + 246417397, + 539365511, + 303200603, + 571516278, + 213313155, + 844034031, + 27068144, + 47654270, + 704165313, + 5384975, + 885909595, + 685370629, + 843713832, + 138090601, + 642299875, + 369579267, + 203249845, + 897606310, + 406097082, + 461930214, + 193067956, + 158444122, + 369010689, + 102676234, + 719861112, + 454469117, + 242335545, + 367778122, + 124727016, + 408437834, + 717868072, + 811828370, + 449685984, + 106915902, + 675324413, + 67966548, + 958085392, + 983324420, + 846982732, + 799102816, + 632107202, + 812521382, + 6998837, + 220467774, + 523992766, + 552145359, + 992499811, + 243564559, + 176672883, + 286572572, + 727676748, + 171912138, + 1645269, + 975209769, + 784444730, + 238364676, + 161502667, + 643555889, + 603667075, + 161313498, + 561586229, + 784095248, + 961994337, + 199183995, + 112401305, + 733356380, + 164698451, + 943972660, + 465760920, + 937304417, + 482886930, + 787641689, + 487364624, + 492325445, + 560881066, + 626720879, + 478409260, + 442604523, + 510307711, + 142144579, + 517667013, + 225046983, + 372928109, + 109478568, + 5788372, + 133723643, + 331658583, + 630888125, + 949172858, + 691176458, + 244567106, + 440356186, + 454866234, + 723047150, + 589394822, + 568253074, + 379032528, + 557491456, + 337743229, + 399478544, + 824716973, + 543623412, + 929415675, + 878487134, + 717395207, + 766758713, + 463256069, + 416147906, + 692932119, + 743175440, + 640141727, + 195213756, + 283555840, + 503475194, + 31297715, + 105694466, + 561557824, + 603800342, + 264398298, + 118003881, + 229860239, + 242685699, + 280313003, + 261067443, + 975932615, + 612370496, + 893616279, + 114660049, + 189880611, + 836947636, + 223925977, + 694134179, + 61714093, + 103070592, + 256755548, + 690693090, + 744634665, + 669541531, + 364361776, + 781067906, + 359337672, + 524759852, + 681700560, + 911258055, + 258043379, + 266175187, + 985376969, + 973589039, + 810404231, + 686681047, + 344323092, + 469777972, + 781698442, + 883768045, + 511900378, + 403479762, + 612375921, + 458905518, + 84941273, + 332013534, + 232007092, + 467249726, + 954843340, + 578832620, + 817841058, + 444936974, + 238492450, + 531495949, + 287668354, + 675127408, + 646579508, + 80899172, + 47710479, + 118710441, + 529475683, + 697062486, + 499716447, + 140216163, + 579368545, + 207863190, + 454328013, + 631060148, + 333526232, + 454390932, + 578440410, + 886593987, + 407485147, + 82803372, + 872483961, + 172429053, + 937714213, + 169899755, + 912122690, + 666097923, + 300399522, + 145558576, + 322040263, + 661984132, + 869977213, + 77359005, + 204741640, + 625345479, + 897462625, + 429576551, + 818925970, + 641675195, + 509518216, + 486297409, + 935212456, + 255407310, + 46810908, + 124824973, + 701999199, + 77237166, + 743433009, + 825580231, + 737510583, + 869565914, + 207196350, + 239076253, + 160854101, + 703726033, + 596463714, + 482311055, + 319622580, + 251834275, + 438756723, + 798803795, + 930329819, + 653482262, + 583085529, + 429994051, + 164509089, + 524286169, + 96527711, + 273608107, + 679359232, + 461050380, + 711903291, + 957720900, + 794623679, + 247518526, + 210325577, + 178762415, + 293406800, + 572166436, + 299455134, + 644264207, + 51068042, + 358068888, + 438503499, + 583907627, + 660873371, + 153415752, + 654644497, + 673441363, + 274571347, + 932774038, + 858751290, + 907473082, + 770924045, + 603891004, + 543392381, + 72989159, + 144240368, + 464481639, + 567576461, + 208811886, + 110025818, + 344615131, + 504836743, + 689126601, + 549317663, + 256536350, + 495055434, + 637044827, + 755680189, + 710441033, + 147463796, + 72866024, + 198066979, + 950410639, + 536920136, + 817741101, + 758811627, + 894788114, + 71371132, + 203049376, + 469348813, + 244252933, + 112978402, + 593053730, + 885617757, + 251035480, + 54924876, + 976775716, + 584502941, + 845294171, + 859322242, + 327093806, + 300595057, + 762742782, + 521255506, + 366648418, + 892252027, + 843135189, + 336375028, + 87809245, + 277515346, + 423947390, + 670011693, + 602620390, + 988534805, + 100529074, + 297622636, + 128738783, + 344608450, + 518154926, + 205357396, + 647386568, + 11413129, + 273815071, + 605745772, + 535735529, + 780955902, + 238803305, + 72160722, + 488308642, + 254210590, + 719264294, + 919889283, + 282888952, + 764466204, + 84447424, + 562552172, + 372458069, + 653243988, + 107784996, + 777947740, + 525818672, + 711547447, + 610787417, + 801221002, + 889581736, + 948028183, + 841614516, + 983296831, + 187685710, + 977272772, + 280635424, + 961847129, + 998115970, + 111650337, + 570073136, + 384637571, + 797638626, + 203603489, + 875974552, + 840444424, + 5022121, + 214667817, + 422601550, + 700425990, + 950332521, + 359699644, + 477349096, + 607903255, + 408628230, + 454876987, + 925057165, + 849290208, + 844265666, + 110547659, + 564221413, + 633072914, + 459626433, + 756990032, + 247348989, + 594762037, + 251297917, + 579784396, + 215609723, + 359577477, + 429290021, + 415521575, + 220837271, + 953900640, + 438301732, + 713833296, + 65149534, + 698800827, + 595362851, + 494746879, + 262815013, + 144840150, + 265189890, + 566926127, + 76993334, + 898333765, + 17835830, + 452704474, + 301650402, + 663567847, + 428298444, + 253914148, + 809191640, + 535886960, + 479435984, + 844894150, + 487345423, + 933498496, + 181134868, + 125345268, + 42389657, + 131653715, + 807251423, + 75043296, + 192499230, + 950313524, + 249016569, + 433675012, + 413811030, + 585822183, + 609598034, + 998802123, + 970786381, + 88230554, + 855761103, + 715802736, + 741668651, + 199019742, + 300470243, + 103541565, + 46958035, + 949825512, + 19901023, + 665694592, + 398101488, + 360291240, + 479347567, + 740914572, + 325984764, + 96515375, + 391140858, + 760356982, + 162065718, + 514902097, + 13446798, + 934842282, + 47446945, + 643481845, + 650916997, + 274827440, + 60466703, + 46039594, + 622732027, + 108310410, + 374054937, + 232598898, + 463676976, + 689682400, + 726709547, + 100101887, + 759162856, + 854559174, + 970209121, + 711617925, + 223297725, + 200010650, + 855372343, + 266700872, + 186143668, + 861030039, + 578932284, + 136075211, + 13860939, + 264400199, + 416497929, + 267037432, + 83928378, + 334419797, + 51877942, + 475756272, + 778643761, + 567767252, + 279837233, + 31567238, + 936661748, + 705028642, + 763003623, + 689505706, + 907169773, + 526676541, + 981787899, + 707360774, + 305123579, + 362150653, + 32104807, + 43551195, + 994610608, + 507210610, + 226904779, + 801658538, + 592341185, + 196399429, + 763328448, + 91766588, + 961581196, + 275225487, + 610108454, + 593106130, + 566955320, + 721662006, + 692080609, + 671707026, + 416583738, + 630245801, + 124823101, + 374487246, + 248869401, + 449615721, + 257812372, + 265633643, + 390390413, + 586517514, + 546500372, + 134967171, + 768898918, + 818241403, + 45291630, + 472610130, + 390205777, + 670852219, + 167555627, + 297912798, + 770570567, + 189748836, + 108244698, + 71445472, + 91384760, + 477716838, + 854112346, + 735945341, + 378570791, + 839134244, + 275391526, + 648385503, + 911909974, + 497615668, + 186615245, + 91037685, + 592780235, + 853572035, + 9797248, + 342681649, + 164795852, + 813142915, + 233984455, + 871484828, + 428615449, + 984751343, + 814144315, + 511943614, + 468913955, + 14762012, + 473617234, + 797719504, + 634252201, + 181911721, + 536374860, + 102497828, + 790226011, + 961068722, + 908762303, + 192125859, + 5152282, + 304090475, + 617042054, + 333542195, + 329466202, + 740960306, + 655430558, + 126815976, + 498936276, + 695104874, + 955246424, + 639659030, + 137529027, + 81802103, + 232412960, + 701096386, + 974449929, + 270228346, + 186699289, + 609632173, + 487581217, + 743996948, + 985671186, + 332634022, + 485147903, + 581478281, + 219301122, + 214850589, + 475346600, + 163073452, + 854253371, + 234509338, + 496502069, + 468855818, + 349503909, + 110610291, + 381766387, + 430080980, + 842068923, + 810841829, + 10534682, + 947195913, + 844034129, + 388075488, + 512926636, + 769590924, + 641646561, + 695462610, + 27217796, + 741867446, + 650039840, + 571763822, + 595958268, + 989627691, + 942041751, + 488620850, + 906725490, + 738659722, + 171561129, + 270150340, + 157114286, + 617892299, + 196453740, + 159775636, + 294108940, + 908735610, + 781733846, + 822314023, + 236389617, + 403793850, + 603083633, + 150720172, + 504899484, + 56707488, + 757139369, + 132591128, + 854594007, + 321310475, + 96085648, + 542789368, + 523808403, + 191853681, + 688341705, + 961825771, + 44470840, + 922087614, + 110671299, + 423160459, + 907832378, + 482389967, + 126433630, + 96027281, + 58882129, + 82663174, + 601514573, + 762275316, + 971256592, + 425337727, + 668207519, + 799665504, + 234432250, + 627014335, + 575123149, + 798932362, + 76338584, + 965156190, + 176550005, + 613917587, + 546869503, + 343050890, + 424858864, + 447827426, + 347840103, + 378296488, + 136556931, + 70633094, + 846911428, + 777655324, + 991601292, + 455291915, + 789130000, + 54330637, + 837202109, + 414406718, + 993938425, + 858559165, + 703477429, + 100808944, + 77327735, + 928953259, + 561548283, + 623227478, + 951048234, + 365643641, + 252818517, + 167510814, + 587699923, + 625586777, + 473445632, + 994728525, + 284061703, + 618756217, + 816715560, + 195231343, + 421210632, + 399800135, + 694306088, + 867095275, + 74757158, + 706512125, + 866273470, + 823656937, + 894998246, + 946362500, + 189757114, + 763717318, + 445776142, + 704467706, + 516233296, + 826183297, + 570029020, + 45508413, + 399693792, + 487298899, + 872720635, + 519724819, + 605201757, + 297021988, + 444368982, + 791740706, + 592337095, + 970969186, + 257972710, + 34630406, + 983503446, + 958825765, + 461389725, + 516812538, + 249271600, + 607004560, + 167402967, + 745492167, + 196462803, + 593822841, + 371790444, + 781601286, + 838974108, + 60304934, + 501954236, + 892339806, + 695512128, + 448888016, + 844962805, + 159162079, + 31990836, + 74774561, + 141762230, + 985045977, + 85428377, + 631563270, + 79263494, + 122317028, + 83091838, + 487472966, + 177744204, + 658507978, + 481550271, + 671728345, + 305355193, + 278568645, + 502350920, + 408610745, + 568870957, + 904104068, + 733082030, + 899456087, + 200404018, + 815058429, + 171510374, + 390681569, + 480670329, + 239521505, + 772637339, + 762848247, + 26204659, + 490997674, + 153497037, + 302542444, + 547208525, + 855511510, + 17138392, + 277672652, + 74312849, + 105069448, + 483708873, + 564390146, + 711522650, + 581005579, + 466510771, + 674519362, + 173665206, + 774365810, + 976059071, + 979769339, + 261729816, + 276408921, + 534494439, + 912640083, + 880942367, + 744850414, + 373264082, + 74809778, + 989715410, + 814604227, + 138669987, + 65617468, + 283072707, + 655117604, + 290440286, + 547721166, + 799753590, + 130111264, + 764268253, + 880385360, + 438926761, + 191066578, + 744889889, + 510646920, + 35113863, + 669821795, + 568044641, + 502992385, + 844332774, + 720124923, + 935836626, + 141884343, + 83388794, + 240776551, + 673604019, + 556412816, + 408495480, + 832511325, + 864094512, + 177093337, + 242878916, + 146080110, + 706429040, + 742829728, + 517372071, + 802578300, + 30021023, + 721027265, + 367952682, + 700566292, + 337412108, + 921065223, + 2134172, + 809038105, + 179615095, + 854005182, + 650837734, + 76771753, + 944366236, + 681807780, + 94304479, + 886226586, + 979297603, + 91047196, + 392854741, + 156791855, + 60413431, + 211564522, + 142778973, + 114485690, + 504550092, + 635733822, + 518684238, + 582214388, + 319006625, + 355831293, + 286558341, + 126340568, + 940496988, + 507180674, + 763622231, + 216451034, + 837564003, + 496021460, + 393563231, + 683175185, + 975147219, + 888744232, + 937136627, + 558018917, + 141731169, + 159826664, + 512908375, + 140343606, + 473158324, + 996338101, + 592530785, + 27061833, + 250500901, + 536192559, + 69167655, + 12488416, + 276469737, + 230188923, + 150194085, + 308567598, + 808723012, + 540153921, + 635674218, + 34364258, + 573138692, + 840083591, + 246611605, + 195674985, + 322082282, + 244902852, + 254271007, + 959404815, + 374370074, + 826457376, + 617986086, + 116498511, + 57472933, + 972365849, + 273791633, + 455945512, + 523848134, + 690680406, + 824296987, + 154743246, + 238173559, + 384393062, + 28365134, + 232912843, + 300847628, + 357572239, + 889225029, + 226717400, + 52107095, + 405474347, + 427066161, + 79890213, + 103008317, + 343414535, + 210740736, + 604262010, + 679861650, + 958056075, + 946064859, + 362162542, + 221470715, + 457854510, + 118285399, + 381566030, + 792770094, + 18934426, + 142471862, + 311487466, + 836564918, + 572520080, + 671483489, + 742321783, + 687751958, + 97064296, + 756175661, + 241019977, + 154957972, + 775471998, + 304130498, + 978405073, + 501615246, + 631332944, + 64651642, + 641029548, + 660936550, + 714033081, + 500707835, + 349162421, + 644670177, + 771160647, + 872158566, + 59207420, + 671681386, + 205747918, + 518145722, + 566827151, + 34434070, + 979169753, + 559716998, + 178410760, + 100358641, + 201318003, + 439958104, + 914645294, + 233640120, + 363985409, + 840947238, + 564881364, + 257260688, + 623440134, + 688218924, + 424506755, + 638716814, + 391362324, + 600646935, + 663237090, + 694453177, + 444767053, + 384869803, + 163063315, + 425525399, + 227105528, + 94246437, + 773703429, + 49415571, + 136116233, + 400274283, + 761034313, + 220459831, + 518975605, + 435626073, + 503711042, + 224520753, + 172158033, + 169688476, + 900391298, + 457214657, + 671655332, + 92602477, + 980673671, + 404061464, + 935534236, + 849913394, + 180425345, + 934883624, + 61880852, + 645318303, + 146641092, + 86538392, + 433500179, + 359787803, + 874144540, + 139718242, + 854425290, + 23420694, + 660818224, + 644037340, + 313731579, + 218062397, + 102161569, + 28606413, + 759825581, + 248199165, + 586678882, + 914699551, + 452648297, + 515957833, + 761562738, + 233162044, + 346326984, + 853862644, + 830841070, + 425014203, + 562235498, + 49060902, + 553788784, + 640501662, + 108346074, + 220109081, + 939152917, + 239228713, + 751798769, + 226135237, + 140376977, + 399425437, + 268426567, + 764260268, + 916098316, + 809768337, + 716730684, + 681816095, + 783870310, + 817266580, + 633543718, + 860295118, + 926929740, + 679169149, + 18285285, + 687416226, + 10675125, + 655258309, + 327587502, + 992508473, + 776465403, + 423853303, + 490551611, + 84446753, + 960494381, + 959501583, + 593455111, + 434439739, + 168520694, + 1727406, + 908945848, + 803095277, + 125371173, + 334499687, + 426374081, + 902787252, + 440197190, + 333120704, + 390014263, + 807200810, + 484971867, + 157120824, + 283844808, + 90210200, + 947611324, + 494343818, + 587813812, + 274427504, + 852316689, + 667398766, + 346655400, + 740140061, + 509352436, + 636311733, + 793205157, + 183270123, + 528821580, + 83135772, + 29784188, + 353879407, + 698287736, + 463055531, + 564759558, + 261309523, + 348463154, + 188680933, + 278609499, + 288812098, + 850382605, + 978769896, + 689671583, + 370541353, + 815874615, + 42891369, + 670704124, + 988952538, + 361216582, + 200377097, + 600601899, + 403660617, + 603939276, + 145915267, + 806932541, + 353991720, + 222739090, + 368586496, + 173009804, + 541341575, + 346398930, + 233248410, + 887591769, + 755018233, + 972094345, + 420828019, + 538842465, + 251467951, + 352864990, + 895353714, + 827680807, + 381477155, + 602468267, + 937358463, + 432578363, + 389537277, + 876644867, + 771044036, + 734977046, + 412657570, + 760256673, + 3778120, + 11409995, + 62626762, + 691073698, + 807698748, + 224926476, + 129902797, + 656649283, + 259687750, + 741591549, + 595472273, + 444741943, + 80897351, + 768544839, + 596249585, + 695134512, + 651476099, + 798592604, + 459952429, + 49958669, + 679208948, + 95615299, + 940424773, + 945722672, + 910918817, + 77983391, + 98843349, + 421638127, + 489044821, + 870903145, + 783663356, + 309232266, + 609634888, + 442417798, + 722235924, + 602236470, + 752705151, + 780987207, + 743293532, + 768550702, + 674024795, + 211633468, + 353267069, + 2192426, + 881314049, + 33473358, + 518139082, + 952775281, + 681579622, + 270065564, + 616703943, + 246953786, + 428995132, + 24565273, + 167351238, + 148186602, + 174685767, + 52000683, + 476069772, + 361436109, + 585231658, + 563618451, + 469679252, + 5357701, + 89196354, + 519323895, + 685961090, + 673888732, + 286132475, + 828058982, + 112822276, + 946475689, + 257905571, + 513023089, + 984656276, + 262605252, + 779796802, + 234689154, + 329092184, + 859106879, + 474501900, + 833568449, + 993043778, + 18201492, + 529381955, + 566675611, + 981534613, + 467270010, + 872478329, + 587798813, + 879023023, + 374380701, + 670120309, + 420572517, + 346193120, + 667691642, + 586359520, + 760217374, + 191071261, + 621641053, + 194159506, + 155133331, + 995699089, + 373945392, + 760431064, + 20474637, + 345412485, + 876654472, + 247775530, + 21134216, + 292794244, + 70881705, + 17033248, + 916658589, + 147444337, + 89432692, + 414386538, + 881071270, + 547837434, + 473533446, + 563950592, + 431464745, + 973951109, + 540099399, + 297605937, + 855141676, + 811451846, + 340000763, + 95076030, + 850913523, + 429587891, + 430009729, + 671013372, + 390731447, + 347090843, + 205520092, + 108405652, + 8610937, + 898419346, + 679778687, + 823005918, + 435834196, + 666083490, + 813686475, + 657076421, + 96022775, + 511309328, + 259539729, + 586430999, + 454335009, + 51128306, + 163494169, + 798637904, + 663557173, + 641640227, + 315750491, + 300951877, + 103033855, + 558307683, + 171414822, + 547080870, + 130034656, + 139351265, + 952833102, + 313882127, + 23194626, + 723498128, + 670016452, + 863901018, + 65330993, + 149852124, + 46095124, + 966692630, + 907631208, + 179131687, + 782141004, + 739706942, + 921071125, + 580715527, + 494175560, + 250520200, + 947503187, + 935725320, + 624974152, + 932145690, + 635108473, + 583925009, + 943993525, + 732820609, + 732185565, + 205759698, + 971483546, + 818437156, + 883818758, + 648556857, + 160853073, + 347972701, + 411936259, + 342610326, + 1583739, + 260789691, + 705388948, + 411638707, + 341823653, + 201611905, + 59596742, + 19420395, + 829664336, + 101542335, + 926730051, + 647207668, + 822562499, + 830575229, + 357823481, + 67082947, + 841007040, + 19199736, + 629848131, + 785178192, + 664795997, + 650479804, + 144711375, + 969495797, + 201903980, + 469031270, + 101126290, + 601811841, + 414972091, + 707938410, + 134643942, + 316648721, + 932553373, + 196677635, + 135823324, + 285873888, + 314258620, + 849644979, + 372485299, + 144800388, + 636534857, + 486838965, + 718959822, + 609313283, + 705527210, + 386171173, + 331314174, + 927358422, + 207060650, + 411448579, + 32060993, + 82457790, + 288165960, + 569773236, + 353415590, + 489710214, + 64054706, + 662995368, + 317744951, + 133556477, + 855690340, + 76844890, + 349078405, + 636207779, + 623873857, + 986020275, + 642789184, + 775474463, + 652034446, + 412764484, + 974653379, + 219073536, + 996179841, + 579599740, + 544736897, + 622116016, + 752676433, + 253468856, + 908940458, + 631694511, + 115245490, + 961194666, + 636914407, + 120024094, + 191172505, + 656609393, + 439224085, + 662729348, + 447492693, + 546350823, + 549068015, + 255372250, + 507793347, + 168052206, + 858606855, + 38444516, + 921628436, + 509294223, + 828094814, + 850712306, + 483075159, + 349290839, + 25623876, + 748647883, + 29941391, + 862166371, + 801032138, + 617966500, + 820599758, + 3845746, + 966326335, + 777675275, + 929792510, + 480798239, + 363340941, + 800229477, + 213124118, + 206806288, + 131423021, + 2281237, + 97345993, + 240648033, + 389015100, + 997747899, + 356757178, + 821534044, + 594625898, + 54811103, + 39965058, + 853597808, + 241375544, + 574128743, + 11988362, + 908582406, + 385618665, + 157134844, + 738833123, + 613934601, + 384663001, + 322510831, + 603178342, + 293491005, + 460701176, + 284882285, + 729110766, + 42822167, + 391564854, + 562866607, + 162115114, + 245214488, + 246562286, + 691170784, + 954382783, + 678736710, + 806486448, + 314522524, + 93013353, + 599971230, + 652909220, + 964715955, + 537175757, + 445585318, + 594260771, + 843813462, + 106748220, + 716660103, + 215228868, + 200074526, + 523646807, + 597740086, + 632114762, + 972274742, + 835482772, + 703219355, + 321798326, + 434651574, + 517812114, + 204509924, + 20101817, + 227375654, + 945639057, + 926993978, + 892140081, + 33971387, + 54769575, + 343017605, + 934533237, + 652359679, + 815572911, + 946344014, + 672916635, + 246297237, + 849036821, + 914611642, + 950759803, + 859713779, + 929340752, + 654393783, + 554300867, + 336981082, + 483922886, + 248419390, + 480989368, + 417067735, + 762990504, + 835987161, + 414281166, + 638817093, + 327949304, + 6159449, + 107960857, + 850376189, + 962053620, + 99700399, + 758889168, + 988237055, + 768654083, + 631850309, + 88507752, + 96261689, + 366891115, + 68309398, + 408303516, + 46761286, + 54054152, + 749430428, + 634462018, + 487034145, + 486095792, + 293671586, + 151810236, + 112682459, + 875405756, + 407312380, + 873856218, + 903341692, + 50900359, + 643802165, + 146511745, + 308666783, + 808686714, + 297501769, + 695548678, + 843896752, + 381994355, + 56600070, + 182654381, + 573560643, + 841926965, + 664020617, + 560814054, + 172709570, + 681490423, + 192108237, + 303946857, + 60149072, + 987681057, + 604468031, + 457280141, + 277267148, + 533965698, + 800619727, + 76691781, + 92257236, + 337794491, + 239052716, + 626317700, + 399510502, + 251704325, + 670752218, + 927152936, + 889038015, + 626736644, + 275265385, + 515648766, + 19125327, + 175166090, + 568750119, + 625501153, + 470793115, + 52455375, + 801639694, + 175190757, + 316077270, + 523877302, + 955136331, + 938114465, + 726979426, + 199636440, + 608250040, + 108896504, + 595174659, + 792356602, + 463936211, + 851690826, + 238053897, + 392791052, + 305774738, + 684591519, + 135386936, + 346051059, + 183362569, + 75586124, + 646353433, + 488679784, + 832989845, + 205664941, + 113532124, + 450993716, + 187949277, + 256063970, + 337166613, + 199202670, + 872612406, + 553546333, + 903170555, + 69845615, + 660588872, + 671122490, + 563659156, + 801725995, + 355501935, + 909118553, + 939839093, + 644663952, + 347383679, + 253593685, + 523963999, + 557203202, + 826147604, + 194666331, + 861708858, + 87952087, + 883309353, + 874998483, + 91830423, + 897276229, + 129328519, + 72811858, + 770422665, + 461455678, + 485809884, + 494883436, + 837186598, + 373830270, + 631622730, + 773475492, + 275179508, + 650861145, + 355000439, + 91562598, + 629646276, + 552922439, + 713183278, + 240019971, + 175753795, + 635093383, + 584349041, + 924850517, + 54904519, + 376147794, + 210923883, + 509987679, + 441078164, + 827377036, + 698866406, + 587171652, + 575786123, + 31433110, + 365428766, + 760895433, + 43030326, + 347978337, + 886647197, + 512325820, + 691911219, + 404955085, + 289301521, + 520045940, + 237563121, + 184761742, + 89310806, + 64570804, + 952769912, + 182768669, + 819422692, + 110269467, + 527506347, + 893625949, + 143027389, + 24016234, + 199928619, + 744422043, + 702035798, + 712667944, + 289662759, + 964554929, + 933993721, + 417058552, + 210486592, + 481812223, + 666167156, + 873934605, + 411519672, + 852799097, + 515744464, + 480268034, + 16742969, + 878069178, + 33913, + 648360237, + 336920253, + 220617059, + 574545230, + 566016563, + 505981993, + 643030446, + 695159288, + 255391908, + 23004834, + 176898507, + 618476019, + 834890391, + 737275058, + 417092945, + 747097167, + 834541403, + 210034475, + 216034830, + 379246087, + 809542926, + 29333680, + 292639856, + 383070222, + 570221408, + 530397967, + 887534051, + 328850434, + 15819775, + 572402363, + 47665037, + 521758585, + 623235406, + 559513937, + 398928652, + 912874491, + 932348188, + 914108299, + 727804030, + 999497402, + 113000817, + 568451540, + 798657516, + 64214238, + 13480936, + 433132202, + 730799475, + 546728116, + 823505447, + 123465792, + 833277600, + 524947339, + 935537821, + 408657250, + 445931457, + 227996233, + 111001807, + 607457728, + 22556178, + 412910714, + 647256143, + 682939959, + 807986364, + 453424801, + 155355381, + 853278697, + 868267312, + 671536125, + 716790991, + 690718391, + 24556365, + 800422475, + 200713387, + 776949842, + 640329486, + 539718390, + 892073081, + 751106587, + 465603578, + 350979859, + 392774049, + 737668400, + 337781649, + 570031836, + 166894659, + 213634696, + 621884176, + 101687818, + 647970667, + 32660175, + 407636294, + 751408893, + 898195838, + 925428591, + 491078134, + 263892285, + 693472314, + 647131976, + 432943337, + 475860198, + 741421708, + 654638364, + 409628361, + 598518393, + 276826709, + 397764515, + 829935787, + 932166470, + 929454380, + 291181797, + 239800944, + 656409758, + 828442922, + 218293656, + 715363236, + 395858827, + 656528604, + 376428430, + 910174862, + 382446756, + 816261707, + 474529246, + 254393697, + 850736311, + 814969485, + 76623738, + 807265106, + 567179003, + 852666402, + 26368387, + 243255783, + 862174826, + 437660763, + 825663719, + 153473943, + 673815575, + 885346838, + 749354633, + 227944176, + 593180822, + 883085309, + 679358201, + 101516744, + 648517780, + 558709793, + 904250848, + 135539008, + 985417751, + 890798682, + 216080864, + 160707469, + 212818325, + 936020194, + 301272013, + 917294257, + 317856443, + 845923707, + 743588957, + 452575338, + 377267369, + 180952367, + 66228360, + 637335141, + 948476637, + 273905796, + 174664111, + 775529891, + 42269585, + 389061649, + 175304981, + 791483882, + 551138888, + 981290016, + 933465151, + 136041626, + 970828595, + 881805865, + 530659302, + 131673355, + 468312513, + 966230113, + 220075904, + 574202430, + 683756221, + 691183272, + 153652951, + 391769245, + 424822563, + 433437484, + 50033463, + 582763591, + 253174742, + 497131125, + 714012973, + 544521248, + 328421815, + 259113998, + 466040839, + 361920263, + 173139588, + 137616624, + 400261575, + 427515164, + 4512961, + 626158842, + 34495521, + 938588464, + 756817567, + 112550928, + 304678185, + 47448887, + 585855690, + 709244664, + 543616341, + 507125650, + 595913468, + 392626496, + 918477618, + 303981209, + 55545944, + 327167138, + 796348769, + 999784642, + 143124515, + 869754010, + 167008457, + 540184879, + 309886119, + 810775485, + 580121227, + 621495520, + 877405498, + 978263781, + 103176482, + 521872626, + 329576518, + 21608418, + 429930262, + 61735471, + 149962604, + 707910970, + 469969808, + 809872010, + 472286967, + 604093798, + 425499879, + 937162693, + 422644279, + 128594315, + 204673093, + 102980943, + 835177027, + 502096004, + 937961657, + 258061152, + 793960662, + 514271535, + 196523326, + 541852562, + 873091852, + 536280675, + 941856090, + 665958096, + 884888438, + 887931749, + 874413065, + 850801270, + 850663872, + 51879632, + 541168347, + 293326047, + 290895036, + 874140601, + 621956792, + 52275751, + 921478781, + 941246745, + 618333118, + 445663310, + 77091212, + 655318097, + 873077286, + 267888560, + 408025260, + 18981265, + 353135826, + 775806289, + 864073917, + 603167328, + 68268439, + 856966592, + 776452587, + 716263954, + 661943485, + 526717345, + 572613561, + 984853298, + 51022864, + 389549047, + 656088993, + 922427077, + 441440945, + 653224936, + 448980070, + 623140515, + 470763907, + 599722944, + 635319127, + 159019238, + 529939552, + 270046392, + 748818360, + 14437834, + 38036377, + 744026374, + 733758616, + 589084785, + 895697964, + 308267335, + 610700181, + 417220922, + 268299169, + 517658714, + 800494851, + 790246018, + 323437723, + 419380138, + 784530573, + 786311667, + 477348032, + 886514368, + 603053356, + 8875265, + 923126023, + 67859664, + 2263262, + 81564628, + 637668245, + 405075398, + 530065509, + 516342684, + 15161318, + 679283480, + 506446342, + 423948098, + 429864327, + 225407091, + 168705688, + 822101875, + 79145248, + 588164816, + 939238422, + 472687075, + 813777170, + 209361154, + 279961691, + 426352515, + 625176354, + 436604018, + 593656104, + 385132221, + 27457216, + 422052678, + 599456011, + 977122858, + 951149860, + 134405162, + 785476015, + 683677143, + 616292005, + 592876387, + 894096286, + 788352055, + 295190069, + 262693923, + 512958449, + 653249094, + 671314977, + 563751364, + 295612299, + 885434715, + 958402259, + 327361439, + 388685829, + 190462685, + 914374511, + 37776931, + 109622274, + 635931261, + 693618332, + 737985184, + 326378667, + 771310969, + 72792512, + 121082634, + 638910178, + 738663801, + 966524305, + 886428042, + 903333549, + 139867712, + 329635506, + 454807900, + 273652613, + 948204337, + 306326077, + 680382991, + 701957252, + 709181371, + 430040294, + 646374135, + 743138503, + 784354119, + 397902614, + 980888582, + 943024409, + 469558249, + 537402058, + 365214551, + 519765683, + 902709049, + 553352164, + 137637347, + 907447972, + 492351595, + 500016349, + 853610680, + 60210362, + 555343276, + 803732280, + 977608150, + 493311126, + 667426308, + 426868627, + 876886125, + 976520541, + 340188918, + 74523507, + 231073465, + 169232856, + 977317553, + 763305913, + 874597984, + 804314702, + 365008874, + 605724694, + 166357858, + 175474443, + 760139402, + 857101038, + 880885333, + 440492653, + 120547624, + 331179985, + 598956111, + 36961273, + 382329770, + 61313774, + 903809554, + 945582656, + 603250083, + 949385101, + 101043564, + 434069502, + 741951612, + 916167639, + 41246808, + 611429570, + 796742463, + 550610914, + 855229128, + 433359938, + 395193663, + 77778212, + 741047582, + 176850694, + 948623426, + 952477399, + 117484004, + 528373876, + 126617977, + 367414017, + 354475843, + 67433983, + 117429056, + 476800567, + 886396872, + 891911371, + 199448852, + 441790094, + 66946428, + 443042301, + 508711359, + 229056599, + 82673902, + 232183014, + 199336346, + 457468359, + 422866886, + 526609574, + 123733560, + 347225114, + 923271917, + 657287052, + 401006520, + 847395918, + 440452473, + 63820512, + 861323514, + 758565543, + 371265610, + 517960709, + 175129097, + 117311493, + 635797644, + 17281900, + 429756483, + 506461929, + 144828127, + 859719673, + 644796141, + 827465377, + 580456718, + 148887143, + 17429279, + 907614717, + 163853720, + 82475201, + 308587042, + 981207329, + 187793974, + 926167332, + 86726967, + 888737798, + 67019956, + 375639746, + 597475322, + 786503026, + 402902817, + 262568862, + 960353906, + 866336899, + 607091050, + 590957068, + 976463473, + 120265767, + 644839530, + 448102962, + 54295965, + 477178996, + 52989616, + 190430595, + 52011201, + 586395626, + 68785690, + 601268903, + 642317723, + 314572997, + 891545643, + 983947537, + 901938810, + 736840262, + 587774671, + 54152973, + 214586270, + 861629380, + 375888993, + 792128660, + 758805434, + 610722348, + 652260583, + 482882316, + 609175648, + 884684702, + 767347504, + 336326620, + 980888766, + 151313345, + 144944714, + 160879586, + 348325435, + 220761873, + 292399268, + 74509641, + 821087756, + 249138467, + 57586107, + 499141761, + 681909765, + 895343661, + 383998405, + 385054846, + 697772610, + 264686654, + 537728762, + 927037010, + 337109270, + 45063887, + 995195801, + 618825483, + 58929949, + 276959075, + 23587876, + 914564694, + 339702450, + 604099902, + 393966428, + 376107011, + 851587520, + 890345473, + 258642304, + 932864771, + 158665752, + 339652727, + 650186666, + 270649104, + 65197338, + 662303000, + 15858541, + 569732331, + 866185578, + 223798270, + 825764245, + 843024789, + 101338031, + 834345592, + 71544288, + 904700599, + 118338327, + 964307475, + 594438972, + 288590904, + 214853027, + 145110207, + 209897947, + 939130459, + 421663399, + 197831322, + 324476394, + 583048009, + 917410219, + 60561505, + 641215483, + 574952656, + 886919000, + 816078377, + 65318921, + 782841805, + 747501604, + 676311251, + 799133890, + 976868059, + 877038081, + 777666581, + 739769252, + 10136799, + 241979462, + 722892501, + 857047564, + 404427106, + 832677272, + 585390712, + 769285413, + 906031543, + 349457511, + 721635917, + 927345330, + 772364528, + 209577357, + 555120129, + 4695168, + 474495672, + 143482042, + 932472003, + 745430531, + 458513346, + 651362574, + 598785325, + 353207018, + 93314772, + 603236921, + 979520041, + 788404896, + 560078389, + 780473405, + 296242445, + 752161002, + 220526906, + 539137168, + 907574311, + 403478485, + 805337219, + 58598089, + 878742722, + 549395077, + 315942498, + 749481217, + 135708856, + 667148767, + 259852233, + 984878579, + 987103894, + 976269887, + 303403900, + 808792230, + 600338356, + 652246795, + 792897565, + 650428497, + 762615000, + 738791701, + 688806767, + 590832939, + 686630628, + 507938485, + 572952486, + 825552348, + 919231805, + 452861061, + 483028085, + 217349787, + 947455678, + 364148776, + 56493453, + 316277170, + 31574773, + 595665536, + 239736705, + 549376748, + 316952644, + 284495528, + 212114030, + 813421410, + 116411703, + 523668683, + 786614230, + 304726939, + 150842231, + 948448954, + 34737850, + 493604710, + 731446594, + 622597283, + 332155777, + 364083193, + 193205747, + 954212009, + 117648665, + 974856949, + 327768384, + 330407921, + 762849413, + 140293167, + 434601332, + 973565189, + 627083534, + 653063100, + 634332653, + 386853928, + 116191635, + 940640576, + 258620498, + 114318003, + 853979089, + 91719532, + 692518439, + 792326132, + 937904356, + 529723730, + 490990931, + 277067415, + 86607700, + 677037103, + 434003989, + 201599970, + 649445958, + 324970611, + 999537882, + 251090903, + 11342933, + 516918482, + 941334890, + 415313024, + 95764654, + 413128439, + 108701547, + 368856990, + 972235813, + 675853728, + 669950736, + 267662711, + 822747576, + 945139068, + 996580991, + 589168745, + 359273257, + 594889446, + 824721692, + 390361406, + 223865396, + 471633036, + 691222512, + 471409414, + 523422718, + 98001234, + 498086030, + 948552917, + 489569846, + 23669927, + 557800862, + 692740353, + 373568236, + 755027028, + 982277692, + 351987067, + 196035754, + 61130376, + 975378300, + 222823560, + 242484661, + 460401427, + 793609977, + 537519358, + 69276576, + 712146486, + 307076371, + 995253598, + 633919947, + 580086650, + 606929191, + 48353269, + 783009465, + 721581714, + 668116121, + 153850855, + 626082663, + 840705934, + 594125188, + 500923878, + 448800818, + 185831989, + 704189761, + 868088451, + 380692905, + 863853789, + 656449090, + 324476482, + 60254016, + 837900799, + 452725656, + 659128754, + 101539499, + 109467980, + 155891588, + 12668296, + 450520351, + 707603304, + 762377913, + 118543020, + 819422606, + 224953226, + 137940282, + 157114551, + 688954616, + 248333325, + 912805632, + 98708017, + 651095395, + 664533352, + 744976589, + 573544711, + 977532380, + 80194429, + 908798935, + 744326218, + 455044147, + 971540534, + 451000305, + 943542245, + 963557281, + 582450696, + 215352592, + 488474896, + 378125462, + 397348884, + 448842889, + 142377177, + 661147398, + 445673740, + 15200016, + 998593620, + 666403862, + 742124295, + 882357119, + 840293485, + 247896681, + 238510772, + 72077097, + 790191782, + 29349972, + 444514156, + 60055191, + 357220223, + 979465404, + 213448912, + 93620179, + 998112855, + 904557816, + 726980458, + 662114361, + 820709172, + 604268576, + 488994209, + 322008906, + 834762719, + 932202560, + 740259420, + 184447499, + 473221960, + 334798983, + 665080520, + 24273087, + 784268332, + 533649868, + 530197265, + 205873936, + 206599033, + 266021515, + 998694492, + 469589730, + 42437456, + 28871806, + 763044667, + 873180659, + 678279234, + 837553236, + 14862073, + 271226825, + 113309564, + 281589712, + 739389790, + 889650511, + 208213166, + 110841140, + 252055549, + 663348023, + 477732817, + 7429285, + 252607696, + 131403048, + 701598584, + 497892468, + 188471695, + 611866056, + 826896571, + 572974253, + 127095626, + 724147526, + 231357599, + 31807592, + 24922946, + 688294501, + 53645973, + 154082972, + 396763680, + 773230225, + 830184377, + 78574159, + 355007890, + 44038892, + 27804658, + 633282355, + 262090439, + 743135846, + 249950277, + 192811674, + 757764405, + 62917549, + 703165987, + 980510195, + 792376043, + 180718987, + 661013269, + 526504162, + 551175253, + 865845592, + 212475506, + 477412448, + 724187955, + 842055161, + 625270760, + 956331704, + 517596657, + 97916410, + 739193309, + 869802411, + 528315079, + 360053809, + 791207767, + 882453767, + 665452919, + 378750740, + 797041299, + 862416661, + 935701931, + 821397038, + 753651411, + 841721477, + 234942511, + 996583632, + 408198954, + 14034632, + 461612983, + 188296368, + 949255785, + 332549182, + 819710392, + 807244647, + 305828812, + 783388050, + 607019126, + 99353559, + 257546142, + 689457037, + 990133928, + 894447613, + 545445656, + 653747779, + 676054528, + 217278583, + 124993572, + 997153662, + 937480216, + 39349814, + 595138638, + 337393021, + 211550234, + 504307969, + 533248999, + 129438619, + 108570227, + 708148417, + 772152503, + 267364797, + 524640969, + 325993560, + 998351111, + 469229862, + 730441223, + 655163648, + 868649092, + 518031005, + 541225412, + 270251999, + 548125803, + 10425728, + 525185222, + 9204728, + 131213515, + 130379067, + 446123568, + 927010661, + 155732318, + 203909777, + 434524902, + 100554826, + 526707156, + 497831019, + 262196685, + 437719028, + 179120960, + 392856653, + 602082239, + 323312790, + 913478482, + 894886692, + 554348994, + 463452016, + 649855437, + 144865710, + 427376073, + 133240608, + 594239105, + 322230373, + 613679652, + 510444121, + 460603812, + 111683891, + 945694476, + 777131582, + 843885076, + 257664933, + 615111746, + 267339385, + 200872157, + 146316667, + 142074036, + 370236263, + 92122618, + 225056129, + 87570433, + 571232247, + 381912703, + 940394360, + 593327812, + 567063392, + 676159957, + 234989543, + 742841948, + 166529760, + 225086103, + 913079762, + 49515144, + 967645431, + 896918959, + 196011864, + 584923654, + 570315000, + 150408083, + 822732739, + 537686339, + 408592887, + 783001547, + 74518797, + 373960945, + 244844335, + 330536997, + 226264460, + 721909404, + 247772145, + 441264015, + 131302296, + 527771816, + 785797208, + 212875804, + 365168372, + 208349576, + 608825116, + 793684232, + 433802337, + 39697415, + 384438798, + 388853826, + 49701207, + 398984205, + 757659637, + 796349181, + 994312700, + 627122121, + 82435278, + 493069702, + 515248501, + 546603785, + 965834786, + 526914898, + 115138670, + 985842370, + 909078792, + 151634822, + 321788442, + 906852944, + 987383519, + 49132989, + 698976144, + 672622668, + 721046966, + 729027142, + 263197472, + 249512040, + 137370994, + 521026422, + 364426817, + 195958050, + 16299585, + 425890527, + 625702258, + 335822777, + 424725500, + 488877154, + 685813074, + 296319954, + 565670800, + 287696728, + 167066321, + 992409332, + 934496703, + 99158810, + 900312339, + 97498111, + 169685884, + 521937130, + 765513359, + 124571992, + 203584265, + 672693836, + 972858163, + 440771082, + 989344401, + 588486979, + 656400850, + 656739676, + 400164013, + 335522317, + 957086244, + 66512514, + 358881508, + 292329301, + 847231903, + 887585371, + 492071164, + 306445174, + 289743471, + 969552904, + 979238531, + 166750197, + 197863223, + 210045584, + 684778819, + 508077053, + 598622997, + 465773284, + 892792175, + 965069659, + 945623383, + 882285593, + 689327749, + 479874469, + 767695076, + 527297791, + 876383747, + 518501490, + 236982142, + 907826709, + 654711977, + 916402673, + 431452070, + 562261673, + 472069762, + 359557263, + 64810834, + 109374255, + 478650822, + 467004910, + 658094620, + 491274748, + 740460451, + 517543485, + 170765760, + 67514164, + 189397661, + 897754899, + 698916301, + 257869149, + 585911865, + 291081959, + 355807935, + 627699562, + 672697863, + 378153285, + 310892216, + 905756458, + 800338532, + 100750514, + 262183716, + 385726789, + 515212062, + 846988397, + 741374778, + 935501440, + 537816412, + 314664588, + 644113669, + 805423838, + 667183662, + 133982075, + 16537263, + 833930839, + 805432347, + 894702606, + 670328405, + 721316608, + 203701296, + 647642986, + 766493404, + 833396174, + 206548314, + 914613230, + 464595404, + 773892338, + 176327344, + 9907258, + 501134437, + 119424939, + 960574421, + 346776928, + 93566189, + 128288733, + 347961755, + 811468230, + 877106073, + 644907164, + 710382873, + 869396556, + 562782076, + 271765576, + 150138418, + 519977004, + 311698311, + 473295216, + 558074020, + 902864750, + 63041947, + 167981179, + 681493415, + 922625311, + 139430698, + 384836998, + 244776809, + 107743744, + 758449660, + 916446839, + 540753121, + 278640466, + 866749835, + 629090566, + 401081817, + 572463831, + 841700278, + 848981752, + 237392150, + 725968333, + 710444778, + 957935789, + 644064172, + 223760774, + 318145713, + 281506276, + 898237029, + 323892409, + 159059807, + 190134405, + 294689647, + 546793765, + 415166119, + 804075443, + 573070018, + 905183941, + 218117932, + 530716709, + 652063303, + 548801894, + 927902568, + 808006137, + 920933209, + 500073133, + 647776322, + 659772860, + 591719804, + 403266533, + 762923556, + 73290294, + 234330065, + 169646963, + 32726695, + 276139069, + 619517579, + 94969208, + 573126573, + 475169877, + 785419071, + 91259602, + 925628376, + 770823169, + 731619344, + 397469737, + 394041073, + 407440988, + 400544707, + 508555515, + 622476745, + 631173025, + 632188256, + 671261913, + 491096014, + 164228752, + 35354379, + 425967024, + 583889894, + 823660279, + 660854351, + 882892134, + 634823066, + 683965824, + 610667142, + 911936924, + 833326313, + 574395477, + 648618034, + 38695149, + 812640761, + 47975790, + 43669278, + 221004393, + 611878368, + 972110440, + 638775488, + 940561069, + 129650387, + 862979767, + 37892033, + 592547251, + 253500791, + 96549002, + 851210732, + 799875318, + 42775206, + 217785275, + 839517296, + 485435343, + 301341764, + 699605206, + 954809569, + 831990133, + 725019958, + 845531437, + 366243854, + 516759022, + 74913138, + 722525954, + 486903351, + 760142955, + 371742760, + 955699818, + 574118549, + 686924598, + 257711843, + 428446660, + 766898099, + 809633088, + 630538084, + 734137233, + 286724018, + 461627394, + 870153680, + 165372175, + 345946907, + 209163746, + 910524368, + 863268309, + 803113671, + 497557351, + 926003720, + 109385640, + 163507920, + 714769276, + 182892738, + 899213809, + 516621674, + 289514672, + 848715525, + 84721576, + 753001950, + 350550842, + 812998504, + 610300904, + 523736468, + 817253803, + 336975471, + 371593140, + 785989146, + 497109701, + 206544816, + 766441671, + 99786593, + 133215921, + 878373245, + 58170562, + 606637933, + 315565907, + 850625031, + 254982504, + 2322375, + 673931608, + 103146591, + 889791634, + 53859513, + 236213539, + 754138773, + 546612172, + 941402980, + 592443110, + 86066893, + 277639763, + 162332751, + 86043732, + 212529565, + 441213095, + 360491824, + 840785602, + 190393423, + 642379966, + 80721313, + 402355242, + 927781196, + 469799245, + 590172299, + 606339937, + 5413578, + 146423737, + 148690376, + 243111532, + 829420215, + 697815025, + 636806172, + 743365981, + 460814626, + 871812196, + 504718439, + 862071287, + 252586500, + 993619929, + 479977191, + 631733445, + 52870513, + 743593306, + 741570060, + 777667534, + 128151224, + 771329306, + 41041332, + 10597413, + 352729929, + 251188185, + 225372418, + 12479020, + 752477331, + 3942053, + 125814946, + 70913120, + 720200933, + 279271291, + 566848753, + 858073122, + 940910986, + 877798775, + 871508440, + 614062856, + 815594058, + 876059723, + 823279457, + 480929260, + 40352357, + 988875365, + 297921063, + 731759155, + 603935241, + 729487379, + 817871668, + 668187609, + 929237989, + 449086970, + 186122534, + 101142710, + 929675463, + 135089418, + 552210928, + 315426627, + 5233712, + 917921754, + 657055609, + 550266139, + 470265096, + 883827453, + 729646435, + 357677816, + 845952811, + 571117015, + 913977204, + 601693284, + 529006886, + 932917762, + 481693141, + 698906180, + 387959675, + 260035439, + 842171277, + 824516600, + 518015700, + 542728175, + 577998960, + 101069416, + 805388411, + 766447926, + 328929560, + 751656721, + 544965822, + 760463448, + 198196402, + 842324505, + 804735228, + 462418359, + 335418143, + 242105522, + 281665241, + 659291071, + 347839273, + 356046462, + 533799667, + 828569252, + 512190786, + 702549287, + 260895952, + 381315749, + 769239368, + 882609635, + 584481294, + 388448206, + 407451586, + 293198400, + 270174447, + 120208446, + 241748147, + 483462515, + 776793722, + 622388507, + 200330775, + 967010761, + 250576677, + 726513472, + 726069485, + 725439316, + 200261002, + 718960545, + 34542321, + 549026667, + 660725122, + 5422737, + 57121478, + 842793349, + 291340232, + 287998312, + 721236850, + 785406424, + 748750705, + 439322697, + 517353480, + 75322660, + 585021555, + 136739227, + 145850185, + 885888503, + 422838996, + 50741698, + 48628260, + 839771517, + 39389077, + 528131123, + 14368544, + 350171894, + 238796002, + 245854429, + 947070820, + 45132283, + 543993151, + 836508620, + 474595641, + 558050520, + 782193545, + 156670437, + 234184698, + 892054889, + 145761990, + 704569628, + 224043634, + 206824689, + 393141268, + 723310233, + 832981496, + 387984497, + 40052999, + 104574663, + 813746006, + 817384975, + 63898040, + 486318506, + 260064465, + 592943084, + 23240710, + 847527467, + 376923286, + 259246087, + 494098014, + 782663012, + 329419024, + 342227885, + 62768921, + 611248875, + 246285944, + 402000507, + 442687545, + 975034547, + 207136541, + 191403959, + 529045989, + 572879496, + 165786144, + 493192255, + 847716119, + 119224490, + 627518886, + 323209929, + 315718783, + 916494290, + 585702839, + 841464216, + 520932310, + 348489811, + 132390501, + 413377524, + 540371257, + 418168873, + 955036878, + 920608636, + 540154184, + 508876743, + 920740995, + 757782801, + 310874249, + 42913631, + 242879670, + 158677242, + 738144214, + 344828545, + 939390462, + 197869905, + 17670721, + 822852448, + 368984731, + 258867973, + 23457688, + 387258074, + 929339415, + 509717426, + 951194537, + 644767317, + 425955444, + 636212887, + 879960645, + 710756791, + 669166455, + 179292324, + 550357170, + 948313561, + 476945344, + 194469336, + 106095815, + 6855386, + 418771434, + 11548757, + 192304716, + 354748364, + 979469930, + 915164147, + 501698129, + 273809447, + 946197186, + 829167286, + 6569904, + 915403236, + 592658407, + 779327442, + 965554044, + 201160114, + 626496382, + 143101120, + 467741750, + 83550289, + 957113319, + 796441276, + 403558241, + 452000951, + 501480131, + 370959945, + 467091176, + 206068140, + 873309189, + 662471285, + 293941493, + 925133724, + 927881663, + 724887858, + 128222908, + 665734342, + 101477207, + 573121739, + 62293481, + 140592987, + 838853678, + 192757746, + 659024968, + 961526019, + 719306213, + 425334014, + 877597363, + 23620544, + 801210194, + 723505418, + 512102487, + 442685714, + 167435703, + 31418071, + 836770231, + 480734294, + 419979204, + 635484044, + 908139479, + 176554736, + 181825074, + 322968209, + 139909800, + 253322862, + 490170426, + 136350592, + 649358312, + 302574281, + 282348063, + 155512751, + 307954016, + 473817489, + 654207331, + 5436170, + 325483422, + 300442500, + 456426061, + 159594368, + 535209988, + 979458828, + 985836157, + 807354866, + 983177844, + 879879653, + 868855174, + 572852449, + 263839686, + 898635347, + 109095469, + 719294624, + 593498332, + 365882058, + 871630404, + 784843924, + 944376771, + 417073129, + 990310588, + 925143393, + 666279219, + 23486219, + 283420257, + 103641855, + 518238127, + 922990123, + 95033471, + 361689283, + 27046571, + 750803698, + 664675800, + 929772949, + 835429007, + 448952546, + 329167451, + 940031872, + 730000965, + 55981542, + 705416127, + 212837235, + 36334507, + 358262807, + 297452244, + 190474851, + 892271380, + 397812639, + 840169239, + 661632956, + 341583785, + 235284456, + 792636700, + 993381847, + 409644560, + 231217622, + 676533253, + 335609291, + 206675057, + 273249101, + 688936209, + 499971347, + 903352428, + 922367950, + 953126803, + 587591703, + 45969420, + 291330793, + 624972603, + 603655752, + 818893524, + 64714672, + 380762708, + 906415028, + 876498239, + 699719436, + 484929292, + 609934802, + 296958649, + 23073869, + 709142303, + 408520799, + 111061964, + 803572874, + 711826541, + 166166274, + 594694644, + 350363955, + 553825098, + 632161490, + 94517549, + 685210653, + 944398116, + 38503506, + 453895113, + 667927695, + 645246018, + 752596372, + 181454665, + 331458940, + 10102572, + 123200794, + 438733782, + 328987668, + 141403688, + 59458490, + 516081376, + 642431121, + 941952532, + 868287545, + 319415044, + 49122833, + 757057612, + 708357766, + 790421965, + 5217861, + 66414072, + 924885090, + 304545843, + 459822034, + 42465726, + 387934381, + 785675694, + 920267660, + 537434082, + 576966922, + 813718009, + 166029160, + 794120106, + 516643062, + 60164841, + 564372781, + 459717578, + 722913673, + 161064642, + 852147205, + 579346661, + 953891836, + 588221117, + 136824443, + 515520010, + 313576656, + 714496605, + 328882696, + 860464743, + 724643122, + 302908750, + 872755722, + 336438801, + 37660795, + 380446259, + 651591349, + 607672690, + 992932972, + 951372211, + 386124193, + 140953678, + 992674336, + 427825601, + 198394579, + 508789731, + 340662251, + 906587698, + 228275429, + 914005210, + 699733997, + 768483920, + 336742232, + 103303366, + 573215799, + 316210908, + 892578609, + 539215582, + 895428114, + 928963798, + 219288042, + 501555439, + 478176946, + 276956746, + 519471578, + 334295531, + 926375044, + 345063213, + 23875692, + 686149556, + 367625240, + 923240099, + 982239442, + 741830844, + 971996363, + 91092087, + 125816144, + 438264806, + 645522119, + 995380476, + 204340647, + 36511733, + 667260736, + 568561194, + 971218134, + 178918322, + 949928767, + 789381313, + 509264196, + 10263012, + 476890522, + 382824839, + 3218061, + 999536627, + 700400549, + 572949255, + 57886355, + 487664935, + 731446068, + 322009859, + 210070872, + 635250343, + 760441464, + 417263317, + 220352282, + 304817437, + 315068744, + 446843190, + 490017609, + 343743367, + 105476786, + 434737547, + 994554761, + 125915220, + 258844933, + 593206606, + 992612478, + 460559537, + 821406314, + 120308316, + 125228877, + 989891967, + 763247003, + 730689118, + 750112393, + 269886315, + 861612147, + 629495284, + 995271377, + 913623282, + 978957667, + 380748574, + 530486543, + 167045933, + 937239766, + 160580490, + 345465742, + 740087287, + 199648178, + 653218537, + 72489425, + 476356938, + 915030851, + 369847305, + 488603102, + 748491983, + 668414874, + 588278894, + 839084007, + 313513944, + 823900588, + 528754019, + 465405229, + 119394206, + 764564499, + 781682760, + 768038805, + 283974265, + 919991884, + 286246575, + 411639386, + 718738709, + 942980697, + 605508594, + 829933671, + 195292656, + 217779951, + 859693672, + 454573827, + 890381626, + 358387257, + 123208115, + 784600970, + 242228379, + 521302177, + 108688846, + 257769185, + 170722859, + 611742154, + 454304626, + 120429193, + 638727409, + 712185096, + 99864273, + 982797992, + 39289361, + 802458098, + 735885733, + 138084382, + 672038835, + 429532229, + 755424421, + 11925113, + 541359535, + 3851220, + 710612587, + 859049326, + 226824303, + 378084817, + 880905535, + 512639926, + 398079207, + 476111746, + 465709568, + 111165360, + 888093349, + 203252506, + 723749908, + 203424701, + 825026113, + 444412103, + 922233310, + 560210290, + 263342011, + 185902702, + 374098121, + 714403466, + 579892033, + 926077980, + 881590611, + 592431918, + 535563527, + 660205382, + 321451635, + 650161553, + 188291674, + 475172216, + 432182421, + 136427279, + 8881214, + 33065180, + 980582541, + 830169402, + 897741831, + 833919490, + 388757005, + 209625960, + 562298219, + 841198286, + 387086913, + 28416165, + 536234169, + 936261092, + 869795200, + 633732255, + 583690402, + 912909935, + 139543276, + 295173807, + 369212592, + 128305827, + 496678049, + 601911890, + 430842764, + 192944663, + 744982815, + 458347151, + 299367511, + 841537730, + 896767969, + 590883800, + 853102476, + 291073748, + 38199782, + 169877189, + 278260782, + 6151558, + 538848297, + 3269711, + 778799547, + 216863126, + 877732019, + 40211908, + 395565875, + 848362778, + 943910443, + 960162466, + 101405102, + 355603238, + 135225239, + 557541527, + 904773738, + 342712166, + 246845344, + 699751661, + 911194592, + 648096980, + 202600981, + 321991432, + 831954226, + 405563561, + 235136064, + 101066582, + 925943261, + 315656633, + 802292044, + 755633593, + 70336119, + 692592701, + 508200218, + 340826610, + 1750178, + 287346399, + 582669040, + 18613000, + 603477370, + 429182991, + 152439405, + 548373113, + 941685992, + 122525121, + 311596229, + 677929072, + 686740419, + 551174646, + 975646265, + 174912871, + 332086941, + 835188258, + 104665797, + 923155760, + 690799581, + 463316525, + 760937361, + 408402794, + 384524154, + 238999250, + 664811069, + 34623069, + 99809581, + 791750190, + 540255705, + 831495122, + 664024318, + 467793965, + 687662630, + 505195105, + 679195454, + 712640518, + 404407807, + 18305707, + 408796821, + 94745392, + 987122058, + 359243208, + 940404516, + 349437398, + 700858946, + 245834038, + 960239156, + 804893602, + 414277640, + 524434576, + 937737849, + 862822848, + 241356490, + 448653891, + 774625363, + 700047766, + 858170727, + 468696270, + 371169750, + 812305172, + 407078248, + 319459080, + 14575559, + 869916696, + 605051064, + 458270927, + 381614459, + 220493295, + 669826685, + 76699142, + 742313538, + 578655087, + 99348549, + 638289611, + 424994279, + 483573056, + 266479939, + 311283706, + 809813501, + 306650477, + 651105684, + 111914806, + 693116795, + 906857002, + 399146430, + 786713284, + 58050971, + 804773502, + 737274400, + 334221521, + 525382798, + 480411780, + 64547304, + 830430168, + 613743921, + 810720079, + 711016591, + 587876780, + 227859896, + 79903628, + 337415814, + 766925192, + 413953085, + 968071044, + 940492735, + 859606382, + 819704046, + 12571521, + 514887247, + 43987415, + 279859886, + 994722731, + 328252401, + 976037706, + 275183007, + 230168557, + 828639678, + 605959544, + 734868936, + 388402530, + 134605131, + 34448834, + 907706720, + 474480183, + 909648787, + 296872443, + 281198647, + 209099299, + 150879910, + 859487805, + 614744388, + 951273151, + 488629713, + 747176645, + 708701155, + 770402504, + 82304468, + 272665620, + 714995640, + 183339898, + 167226600, + 992408582, + 762936226, + 656294115, + 598872996, + 13998339, + 6350989, + 532873732, + 937248614, + 778562626, + 897640513, + 615948966, + 792820661, + 406858956, + 546914080, + 588869072, + 426952889, + 598364892, + 191297659, + 120704582, + 644852405, + 708465877, + 775149887, + 945605391, + 506612855, + 717259397, + 191960151, + 415460960, + 995152594, + 53517496, + 635862395, + 783703951, + 118419086, + 333273658, + 202619752, + 956842788, + 828608954, + 247594391, + 486314327, + 935831027, + 622762407, + 341722913, + 626166471, + 453606090, + 687925155, + 509417196, + 294712725, + 604592055, + 421356081, + 9058670, + 779205232, + 392055054, + 362551501, + 426148834, + 860250353, + 519977462, + 906522317, + 930415726, + 552084938, + 616437629, + 576705321, + 7496740, + 121488452, + 161109625, + 378495403, + 107966941, + 269582524, + 873652229, + 963390414, + 360032608, + 680211738, + 30528034, + 975781893, + 947178499, + 795226803, + 723332746, + 644660874, + 505460180, + 974723066, + 17769636, + 496865400, + 88582682, + 702819664, + 450199753, + 52486241, + 905400247, + 324565347, + 897553650, + 103472998, + 88298964, + 55675070, + 349775971, + 544690673, + 731527179, + 698848609, + 885487562, + 265062202, + 18901143, + 680267630, + 598718277, + 421330350, + 814137289, + 263434356, + 841012098, + 153092659, + 667394861, + 772141886, + 945357666, + 951279095, + 909371941, + 748956611, + 6518243, + 267842858, + 85476437, + 328802615, + 800045310, + 808027768, + 771030694, + 698097889, + 430292786, + 19650646, + 404998264, + 967260041, + 712251179, + 181992048, + 347634203, + 816234379, + 117822975, + 127505309, + 747563181, + 490934013, + 557395675, + 211291887, + 223154085, + 485661142, + 711988747, + 490386362, + 668940330, + 114222388, + 21711786, + 15885505, + 498726207, + 673204654, + 71176026, + 542442118, + 161717400, + 299082634, + 995073525, + 328189, + 92569138, + 997852171, + 908947914, + 813913506, + 124349194, + 789749376, + 769205401, + 269562832, + 186636431, + 426218102, + 987439960, + 544658443, + 479448402, + 359333995, + 648863668, + 239938482, + 976105248, + 382163585, + 656693477, + 622243287, + 504517466, + 190659743, + 860406322, + 768925516, + 511815339, + 458942205, + 678796225, + 416040575, + 156452195, + 964068510, + 842839309, + 905514460, + 11144761, + 432563059, + 176911966, + 456629418, + 532858206, + 34590659, + 214199089, + 147703879, + 545256018, + 978060125, + 65582640, + 149467035, + 918430291, + 379345633, + 622068290, + 396545312, + 977416432, + 63842925, + 184455097, + 204992624, + 510279037, + 614875420, + 428249734, + 841258722, + 408456495, + 647480238, + 261208502, + 65797812, + 14725872, + 816263207, + 946661533, + 542184888, + 684113035, + 84437586, + 894534273, + 254331636, + 796284355, + 672810683, + 819989474, + 500256200, + 459552541, + 28567396, + 214257117, + 525729166, + 150776706, + 586271576, + 790295716, + 626619327, + 209071485, + 489447744, + 497595435, + 155169688, + 445608984, + 776099390, + 524387058, + 852225576, + 159753875, + 813052077, + 402968709, + 762130352, + 186273743, + 174523603, + 79216871, + 192007964, + 225019178, + 35652806, + 230036032, + 948807646, + 303228740, + 951629767, + 536049215, + 966846327, + 692095613, + 340057254, + 603574174, + 915550365, + 825315163, + 882691915, + 608723687, + 367601953, + 112038743, + 13274181, + 831989424, + 869841685, + 577819159, + 259189514, + 549749748, + 810136887, + 729113868, + 690884449, + 317160218, + 823033729, + 758518981, + 307563808, + 309914537, + 459685973, + 969543661, + 663381326, + 540739901, + 212920707, + 561781550, + 504426141, + 335301075, + 955692024, + 927550140, + 405804021, + 434328713, + 59782753, + 778018240, + 984942164, + 289451232, + 634204391, + 832757962, + 121992967, + 385449186, + 344371929, + 392184443, + 365252327, + 236371205, + 878550105, + 49434950, + 261401138, + 139863554, + 334960475, + 663375380, + 449522204, + 628030918, + 640126330, + 153095079, + 274176702, + 17137094, + 622718747, + 198225209, + 896215535, + 196291294, + 788104982, + 360945542, + 482199517, + 61780664, + 804733709, + 842723295, + 533175212, + 193714219, + 146606031, + 554831158, + 740931736, + 981235034, + 385101037, + 324038389, + 98081803, + 209652112, + 524894538, + 556906949, + 598381091, + 365604455, + 818344672, + 145038560, + 659478050, + 260009568, + 319651343, + 954795731, + 280146749, + 853755722, + 219352039, + 953565398, + 90255264, + 393981532, + 346642972, + 532744470, + 310389855, + 190245913, + 328470773, + 424054072, + 403575815, + 558839948, + 334518467, + 769231832, + 12081507, + 997455998, + 771087184, + 259508275, + 868017645, + 605782230, + 686114316, + 59878676, + 512238943, + 400104445, + 321510643, + 462025001, + 603044277, + 328512662, + 600729499, + 686569708, + 81202808, + 827955695, + 90701616, + 168089048, + 683429175, + 156114411, + 604926801, + 151662587, + 499929537, + 493827720, + 509738148, + 301464705, + 501122521, + 249712851, + 30187108, + 710309730, + 586920958, + 927459710, + 401474459, + 301164580, + 633391583, + 257401333, + 259356285, + 754962158, + 892424132, + 219763360, + 509118939, + 750925801, + 861610700, + 327005274, + 381364486, + 100711487, + 347593386, + 662209524, + 172152635, + 476244143, + 322120484, + 871870739, + 719287612, + 868609561, + 651082445, + 73636870, + 255939116, + 864788918, + 733371060, + 477885549, + 447515979, + 260996223, + 132862823, + 9583465, + 559904138, + 842922601, + 327726928, + 775409066, + 354271631, + 886723820, + 420128334, + 213515576, + 647417009, + 230672650, + 454593239, + 726203152, + 936692197, + 416445300, + 456949911, + 221639320, + 685988178, + 394522022, + 262465314, + 685031777, + 902499325, + 967273575, + 719722451, + 477426687, + 462064336, + 240435241, + 808718934, + 185781824, + 832888331, + 366910820, + 961004930, + 86059875, + 956313269, + 784726490, + 953237198, + 837845776, + 214144929, + 701312907, + 262779831, + 739743531, + 892270841, + 466574750, + 1215306, + 768824917, + 746555034, + 400290052, + 559339803, + 949538691, + 969212821, + 778764948, + 367796259, + 971832334, + 318690822, + 152208137, + 488621157, + 198313074, + 638012602, + 482728992, + 803205947, + 359705174, + 410867432, + 228602165, + 352547701, + 471210182, + 908030487, + 543127353, + 296263554, + 970864038, + 62671823, + 792301093, + 70880162, + 385321664, + 97480719, + 55827638, + 477772880, + 658189900, + 120651222, + 674288129, + 333015276, + 738755540, + 405660289, + 688503710, + 639721734, + 267102902, + 315516912, + 355321378, + 389200539, + 305027369, + 787939731, + 964381539, + 451299247, + 617738212, + 670213495, + 218233848, + 832899665, + 766846933, + 898597988, + 88124389, + 680213005, + 556496917, + 451665291, + 656825152, + 185894453, + 32044409, + 901205796, + 519326973, + 960333651, + 890480591, + 434446711, + 257679847, + 830873669, + 760349119, + 603681116, + 122837758, + 320013743, + 534585140, + 873829971, + 525098623, + 505708863, + 440206900, + 323727428, + 527038408, + 649288459, + 142139231, + 290935411, + 691579108, + 198133237, + 160094525, + 701840136, + 296034162, + 563056640, + 190092175, + 139509085, + 540792072, + 344486466, + 863838282, + 600879284, + 179593093, + 187047607, + 26776479, + 168378073, + 899360405, + 828269168, + 465261643, + 781888369, + 931994288, + 834939308, + 426677928, + 647208354, + 402244955, + 730435532, + 959581419, + 996373017, + 667014808, + 657901092, + 190731110, + 711577958, + 232526504, + 333247853, + 176727046, + 10180409, + 724262278, + 502265987, + 329312512, + 18124509, + 282124519, + 630989209, + 453709216, + 177263908, + 413111933, + 289384921, + 970880912, + 182489879, + 339211025, + 146656008, + 959513366, + 629064580, + 352030355, + 414154639, + 496749821, + 627145848, + 223333156, + 821016984, + 781966258, + 261044075, + 497500688, + 16667341, + 824170953, + 597569546, + 521679983, + 400713508, + 542701004, + 357782139, + 465914297, + 927778533, + 753680607, + 257000935, + 626393737, + 965286183, + 920432992, + 252504013, + 313553372, + 107790045, + 418907980, + 510190789, + 891476421, + 769614677, + 553500633, + 199432169, + 197001773, + 365693610, + 457245626, + 366300036, + 592104168, + 130404670, + 417948251, + 603475688, + 752343881, + 323385396, + 758556261, + 220260721, + 43169261, + 846445454, + 217129972, + 639523751, + 249537432, + 842533304, + 715835564, + 368029558, + 966763665, + 196600356, + 808554525, + 630966134, + 964575832, + 175975053, + 198385658, + 691905999, + 82557518, + 650962536, + 371470137, + 733322132, + 212450549, + 598348818, + 277425049, + 625018232, + 488610139, + 806632339, + 112046032, + 490099843, + 668142910, + 8007771, + 926932865, + 137644597, + 927858069, + 967603834, + 808921704, + 447448488, + 553292832, + 75358558, + 863777398, + 386448049, + 54718169, + 18590876, + 984857428, + 6637357, + 849668307, + 966842061, + 298091282, + 405675764, + 215956096, + 302894366, + 373660859, + 427050783, + 994494367, + 123461746, + 34863209, + 320582400, + 228039657, + 227350705, + 66932536, + 927138285, + 960435012, + 777500193, + 841763461, + 958742419, + 834611620, + 597628234, + 310277554, + 549557507, + 286537570, + 168324710, + 382027750, + 480056019, + 474276066, + 964016314, + 662968498, + 466477437, + 302044787, + 385988225, + 283093622, + 134174236, + 901225469, + 533357237, + 66107851, + 932033817, + 918427370, + 682193199, + 303783850, + 536505584, + 378436218, + 884577741, + 928760840, + 756449245, + 868856148, + 146924578, + 347061919, + 43368932, + 759003892, + 254700498, + 525319813, + 167652958, + 576862186, + 568230661, + 808175752, + 681090647, + 517335221, + 115744491, + 360093158, + 195548411, + 138863758, + 255320134, + 140781891, + 3355627, + 539127692, + 477485984, + 279642756, + 212827439, + 32411215, + 375957696, + 168360979, + 827721473, + 765078939, + 519684530, + 594643045, + 608411770, + 145571995, + 624288942, + 623497818, + 686964868, + 865361812, + 368261800, + 281062241, + 676833381, + 748659474, + 63013760, + 888319126, + 273041799, + 587057113, + 890313461, + 436125113, + 334011451, + 976651848, + 641666783, + 166676911, + 68324818, + 912419925, + 885991185, + 179084112, + 152067355, + 967964379, + 665223433, + 99675017, + 940652080, + 857890798, + 241337956, + 631334966, + 554356411, + 798617746, + 462884304, + 810305103, + 865743755, + 918301077, + 459666900, + 390159346, + 861328577, + 156938956, + 924210844, + 563610348, + 675733506, + 780882061, + 254902242, + 351884033, + 218470579, + 979702960, + 918168918, + 320142815, + 510354946, + 569524481, + 831895169, + 219892530, + 955291933, + 963487946, + 593756316, + 751803878, + 235933334, + 137372912, + 701414471, + 350178797, + 840331820, + 292255250, + 778437193, + 855730466, + 949950907, + 974426110, + 638057666, + 682528141, + 173960658, + 974426050, + 130942661, + 3680728, + 781900206, + 791752262, + 570788434, + 571937500, + 576024615, + 403075295, + 325671507, + 190549184, + 51834131, + 118931851, + 777112959, + 161141967, + 431933896, + 742318868, + 966554051, + 778590512, + 595387941, + 278276709, + 369364210, + 374910175, + 732931033, + 201132020, + 816154433, + 78344512, + 171281219, + 451949233, + 95938798, + 254429112, + 495235180, + 512190917, + 788661771, + 834973721, + 769191113, + 555989504, + 634697822, + 324023915, + 54262728, + 308268164, + 963956317, + 211215494, + 965265015, + 402168919, + 942494763, + 878356628, + 665355169, + 433200613, + 593116082, + 236650719, + 610998783, + 898596515, + 820072024, + 236299123, + 32817204, + 411369606, + 660294239, + 735398255, + 828308462, + 132688742, + 860263456, + 541041009, + 643348793, + 814442662, + 57362740, + 11329437, + 926012197, + 663274395, + 365912189, + 533682378, + 86778572, + 135840991, + 804220326, + 84048633, + 567340831, + 192877861, + 878162670, + 447153359, + 869405959, + 816583136, + 837220686, + 181511185, + 527501805, + 416855095, + 802090772, + 415264997, + 206304779, + 782998589, + 710677099, + 223001194, + 821648496, + 270480589, + 539379758, + 488220563, + 663598987, + 631501906, + 255877717, + 782518756, + 582356745, + 885145815, + 564724824, + 621925157, + 981798228, + 91670940, + 537759214, + 197313470, + 712428637, + 623713602, + 95145503, + 444888862, + 196619380, + 325269265, + 937493096, + 115028125, + 690774810, + 239349383, + 30821591, + 409016739, + 331354324, + 890720411, + 165657003, + 27230839, + 518787189, + 159291152, + 981547325, + 478229440, + 438859980, + 892943203, + 515654505, + 963680492, + 813241553, + 640581525, + 300261270, + 710772181, + 681939296, + 420590285, + 773339736, + 793648975, + 708778116, + 163098082, + 17549131, + 858269909, + 679839283, + 689574744, + 41315473, + 985524857, + 431721804, + 643009839, + 653751640, + 366601259, + 852967765, + 922073647, + 674259799, + 761557594, + 479497336, + 503459487, + 774387232, + 521490491, + 343946280, + 144326602, + 686613915, + 47523945, + 873439231, + 728096341, + 579807018, + 324650987, + 604209431, + 579272279, + 658101437, + 206619557, + 520861690, + 665576216, + 753652646, + 106162474, + 972830054, + 380650122, + 743904305, + 595929529, + 832318608, + 371421576, + 921277200, + 255115094, + 669431855, + 509724319, + 780262251, + 725484202, + 383474789, + 633449601, + 817609842, + 640875929, + 90479798, + 479683021, + 309961059, + 185939515, + 26995084, + 123719640, + 59608052, + 891831668, + 18880936, + 744592664, + 118473497, + 778359442, + 401075572, + 991940936, + 310032576, + 85186445, + 203045131, + 10216235, + 510378255, + 648314933, + 22414366, + 331306899, + 947770658, + 566069733, + 821178108, + 192355461, + 278916308, + 868222120, + 432043350, + 927694790, + 850676265, + 960083044, + 877113679, + 231687443, + 245894775, + 161437782, + 11446780, + 527937160, + 489252326, + 425075925, + 779636025, + 449832115, + 850345230, + 110959884, + 45759193, + 396290457, + 739906746, + 387216725, + 96740726, + 412704644, + 613663447, + 233554198, + 451393215, + 333180277, + 749381727, + 420429054, + 804005615, + 365635367, + 828701495, + 897281833, + 332289135, + 342352660, + 924863360, + 800029429, + 405197566, + 852267221, + 15553068, + 739412884, + 759207705, + 225942784, + 769765320, + 352884218, + 727240571, + 673028344, + 836647418, + 997907022, + 53270279, + 615012218, + 324285014, + 188148567, + 39755019, + 541480765, + 135301229, + 296236929, + 538053163, + 43120328, + 887568298, + 558802393, + 703220411, + 14714989, + 600393119, + 786489169, + 385593632, + 485970884, + 612301041, + 762741371, + 345742264, + 965666631, + 689308706, + 620567942, + 305606042, + 970182378, + 449966262, + 240799549, + 890693131, + 776850910, + 282786544, + 837092811, + 613365693, + 108641867, + 501198772, + 136167331, + 675371821, + 414487787, + 837312155, + 707109856, + 57098028, + 9117878, + 197390236, + 42677803, + 961767030, + 594580270, + 268121797, + 126723520, + 85771910, + 341853516, + 965550367, + 229817214, + 417947403, + 500697139, + 3127973, + 992123677, + 800478457, + 296325601, + 518773894, + 326517120, + 145740299, + 459029650, + 267194016, + 809465484, + 261813774, + 803872925, + 127767352, + 913436581, + 947878354, + 143743839, + 842286471, + 343116392, + 952213924, + 338774779, + 192237450, + 376995044, + 750862309, + 490022394, + 170341363, + 904319579, + 949974926, + 167656208, + 645638757, + 417204586, + 498857434, + 906498546, + 111267020, + 454841716, + 887414828, + 399669462, + 14472622, + 433560446, + 4800517, + 251755819, + 957993788, + 855591153, + 212887191, + 150335458, + 222265015, + 415296976, + 561171222, + 291313304, + 734067320, + 304959534, + 792179445, + 433750803, + 505166871, + 269487290, + 262894618, + 722062083, + 139053914, + 377187456, + 411579969, + 646970603, + 63988099, + 873407461, + 757701349, + 971073433, + 370404265, + 51898932, + 170839042, + 820177162, + 859478686, + 600060624, + 88073697, + 739885325, + 580288788, + 501248824, + 247700339, + 219505966, + 176127525, + 663257382, + 161345183, + 576755242, + 997958465, + 994292983, + 40527858, + 458203678, + 142412968, + 874483351, + 572490801, + 708171165, + 480409401, + 573943067, + 898066525, + 940516554, + 258849525, + 79768068, + 653383275, + 260585182, + 376002286, + 612802742, + 665570956, + 989654522, + 824911074, + 810038468, + 645987213, + 62252684, + 875075297, + 920638117, + 803817341, + 926587326, + 399611854, + 378455057, + 46132028, + 732529522, + 305644483, + 543588468, + 978831166, + 396146979, + 868783688, + 671001188, + 593845997, + 682412411, + 427829909, + 643698429, + 165816640, + 718503498, + 704548770, + 937509236, + 633600719, + 938362565, + 20962985, + 385649936, + 820187364, + 990047237, + 834243732, + 831265717, + 741746258, + 642309471, + 639253120, + 350268078, + 522002454, + 731680013, + 887979839, + 248308010, + 498261779, + 964439456, + 135903059, + 904136862, + 172702366, + 407105093, + 124190940, + 170891629, + 510560155, + 940887897, + 660722101, + 922946116, + 928230895, + 171193876, + 40525908, + 900880200, + 322980942, + 638140230, + 965109389, + 874455640, + 804546654, + 461173153, + 658915494, + 990231425, + 552623684, + 589927703, + 104317791, + 837392234, + 801606919, + 275880666, + 896884885, + 762720947, + 362319725, + 509621094, + 265427423, + 295814863, + 470904878, + 714843908, + 331291711, + 119378391, + 569770270, + 672690372, + 854571984, + 6930962, + 704917879, + 501308132, + 150619647, + 397515277, + 926500799, + 571360012, + 289862974, + 340696179, + 389260147, + 94876185, + 972722124, + 968801650, + 512124642, + 974316414, + 326990167, + 333508455, + 171899811, + 71722612, + 399245390, + 257237170, + 550216708, + 166929968, + 659861227, + 388873521, + 7574921, + 817880396, + 654219701, + 818979811, + 970859529, + 594887552, + 693413423, + 383185351, + 649108248, + 433320235, + 67318238, + 755626199, + 544734524, + 902970712, + 236756220, + 402372078, + 144333028, + 371301172, + 613373423, + 892504393, + 801666364, + 182775731, + 119064113, + 763555806, + 952994622, + 798178999, + 660123158, + 250165799, + 585344343, + 872499825, + 999060507, + 423062459, + 317882325, + 543399080, + 59442142, + 519706369, + 630732065, + 742995184, + 754971468, + 625677186, + 316509102, + 421355817, + 154805335, + 651052733, + 67636401, + 483352400, + 498687117, + 777681639, + 586993828, + 113254447, + 892925419, + 556152862, + 890165736, + 520703448, + 723470494, + 502966289, + 158973500, + 665720295, + 324304134, + 673096381, + 956537903, + 850361396, + 529352931, + 68430996, + 76060786, + 814053882, + 481355148, + 884143525, + 224951044, + 71575982, + 406687634, + 158209218, + 226719703, + 691048661, + 474018696, + 852600965, + 532151719, + 581367915, + 681135648, + 409625739, + 252464427, + 242025498, + 440473532, + 995215672, + 74304806, + 652648017, + 355491018, + 202256371, + 796190630, + 34513888, + 205112298, + 884379361, + 516820783, + 54669368, + 937038661, + 535744418, + 83012962, + 243649573, + 235547908, + 346534450, + 841621802, + 573781413, + 636037209, + 410395845, + 402071241, + 363368652, + 856680971, + 132186158, + 278627411, + 121882250, + 767962092, + 240267525, + 602007691, + 647082928, + 16748044, + 773377708, + 655518175, + 800191948, + 210916821, + 266303998, + 902594749, + 536426446, + 759124394, + 528311637, + 950374430, + 229060681, + 507075345, + 394113195, + 679179716, + 473759977, + 204073467, + 762006714, + 91939445, + 282786337, + 353467175, + 624217837, + 435593747, + 790162978, + 923401492, + 240430545, + 531845469, + 750853653, + 792449081, + 171708216, + 64959730, + 440301816, + 124966473, + 814853072, + 601552376, + 706270755, + 605835611, + 69151234, + 95449075, + 326075238, + 508418557, + 495003661, + 60411780, + 944637723, + 964802212, + 789043752, + 351186360, + 179203322, + 366785206, + 151202005, + 529457183, + 106006515, + 369173395, + 131754091, + 841721451, + 705027357, + 705610894, + 51932186, + 906589056, + 996806869, + 691096145, + 855335882, + 551578511, + 398322750, + 538652645, + 521800701, + 807284618, + 9473955, + 587426959, + 765372820, + 316041618, + 509010011, + 765008154, + 637695696, + 333506864, + 225595067, + 996669693, + 923414023, + 693195988, + 437749955, + 21223914, + 530850116, + 563713282, + 193670253, + 435899585, + 117131283, + 670997449, + 258272182, + 329835087, + 746735328, + 433308169, + 547506901, + 16507599, + 906340384, + 433715339, + 954583768, + 973927563, + 223632896, + 538169183, + 152618538, + 233327644, + 501790442, + 274042557, + 738589732, + 641856025, + 61275691, + 359820368, + 79881906, + 264852298, + 866861811, + 698393031, + 891121882, + 375257927, + 71603060, + 375498828, + 674065880, + 248667492, + 591690644, + 987037568, + 860867619, + 591458687, + 75745686, + 311555871, + 974115710, + 284735483, + 72289402, + 868887207, + 334921290, + 645731832, + 250228829, + 258864393, + 424041194, + 613870378, + 608907524, + 883559915, + 64645989, + 35852669, + 224715684, + 681674326, + 497460600, + 230633221, + 838628204, + 559890034, + 544845073, + 499553112, + 407784937, + 61516738, + 251250268, + 851089621, + 798379387, + 462192239, + 211371140, + 944817496, + 833657135, + 923595266, + 920237252, + 648236942, + 888258575, + 582578257, + 24554175, + 71765556, + 854572402, + 367164957, + 780438302, + 243338929, + 139460243, + 882815349, + 525178900, + 13212357, + 62357480, + 938576035, + 164207670, + 938176243, + 861339046, + 730695535, + 122741174, + 19199668, + 995278601, + 116982254, + 360967510, + 371654701, + 804072300, + 545377003, + 562947735, + 453060501, + 818791051, + 957116304, + 386520358, + 525223270, + 814380764, + 167954065, + 402506840, + 169559538, + 287576956, + 338543678, + 753668107, + 640640382, + 128110665, + 260277174, + 625845840, + 320070580, + 344580130, + 30059073, + 698790824, + 819551520, + 476046245, + 581502179, + 144260516, + 199657619, + 931999680, + 244616813, + 692982318, + 297691257, + 55778874, + 515023732, + 286819419, + 186762386, + 426284061, + 797835817, + 828835999, + 61275512, + 260220870, + 26019778, + 193334276, + 352876054, + 37465669, + 128867722, + 224095476, + 575347488, + 120708878, + 381987737, + 613085063, + 93434485, + 98806168, + 390682050, + 20641518, + 608602520, + 380060713, + 911366398, + 289159427, + 897086030, + 273868219, + 318976501, + 155916481, + 683586629, + 450950520, + 61507971, + 442208973, + 41896123, + 662992686, + 68024608, + 9146796, + 851996758, + 982371110, + 14351093, + 425840877, + 45261906, + 519502388, + 497018167, + 208741213, + 51582483, + 722481391, + 263391514, + 160126229, + 831636947, + 178511717, + 527956136, + 852389889, + 231997792, + 981179597, + 669256815, + 901874374, + 184997389, + 141360946, + 797994333, + 537387314, + 399748672, + 995335056, + 659323824, + 979119413, + 769669380, + 81636731, + 337603155, + 837990697, + 988464949, + 100711904, + 939143858, + 943682457, + 716681431, + 972646704, + 145893729, + 573573411, + 292712043, + 548356851, + 249812066, + 861308885, + 127288583, + 587553940, + 420004777, + 582832936, + 34668385, + 496989116, + 516319137, + 368057363, + 806013465, + 521333093, + 818490427, + 157021662, + 851633376, + 837298065, + 607834863, + 954878331, + 885610307, + 913721839, + 837303318, + 760747588, + 59341387, + 382289215, + 711530673, + 406873621, + 420813265, + 665740550, + 677370913, + 422326752, + 648600304, + 233780428, + 458690253, + 327134172, + 459998990, + 443077449, + 559522983, + 884005420, + 900499342, + 792390682, + 928977931, + 999640607, + 165364968, + 346274691, + 285425388, + 667786913, + 83354706, + 916637524, + 754438708, + 756190130, + 417057738, + 490796456, + 643431908, + 179746787, + 147350850, + 588325909, + 603595610, + 573040056, + 774788865, + 919310445, + 243661083, + 791195574, + 105948787, + 840322859, + 614425714, + 142496740, + 207383251, + 134688139, + 460713073, + 40161181, + 160492821, + 687252205, + 983906764, + 604441736, + 878866742, + 139302410, + 590115682, + 747586754, + 820272123, + 292046902, + 655449154, + 236380682, + 958171329, + 511186646, + 751673063, + 129707770, + 112959947, + 34133681, + 403886652, + 182755083, + 933093911, + 523553878, + 92341063, + 366202319, + 446744952, + 244216109, + 164822363, + 229134110, + 183955064, + 932356814, + 288967448, + 662286217, + 815197887, + 705079582, + 896458201, + 141214707, + 673608353, + 704373355, + 558596024, + 342999057, + 820802995, + 288115374, + 324430790, + 860700036, + 695891226, + 426529412, + 15074735, + 164634624, + 587041625, + 776225742, + 471022279, + 745839236, + 981995050, + 772911100, + 6517183, + 607111356, + 585542854, + 812969548, + 918468428, + 533146941, + 603112979, + 96618682, + 860978800, + 875728393, + 864903378, + 732189925, + 63253060, + 232473509, + 204045808, + 944899811, + 635869866, + 242093459, + 482215936, + 237373925, + 81747981, + 845764046, + 452006143, + 428844609, + 974599461, + 25210292, + 519976777, + 883511797, + 959066663, + 135127754, + 44953230, + 802206243, + 694079055, + 775620984, + 260411207, + 879925733, + 930797492, + 536490396, + 545262951, + 153489140, + 102675311, + 303184317, + 49732346, + 846830842, + 652308367, + 445135204, + 29173843, + 907558186, + 266647263, + 959801368, + 182740900, + 598651304, + 563665788, + 805132695, + 396254361, + 881957752, + 247418345, + 123536641, + 270170093, + 118761487, + 641777545, + 908889640, + 413935293, + 649795179, + 908301166, + 110384506, + 983431747, + 88646001, + 23614606, + 356422024, + 545478894, + 844295063, + 787357962, + 319705864, + 818388187, + 775806008, + 387502033, + 809556221, + 823402615, + 872740607, + 265759102, + 984851792, + 523598928, + 552288213, + 761844285, + 542165323, + 383373802, + 90265658, + 454803279, + 218974847, + 947340731, + 47595343, + 974948758, + 808705530, + 590189370, + 16044126, + 803789662, + 863080470, + 230785862, + 725030443, + 211172950, + 378622358, + 75201463, + 571299534, + 343959417, + 12458275, + 17461928, + 461347535, + 96752543, + 184087840, + 837631442, + 922657290, + 23914372, + 308787395, + 817812888, + 796988251, + 828982230, + 788774067, + 145922823, + 748144796, + 31722420, + 978153541, + 703883730, + 201442618, + 995441004, + 133307168, + 29299268, + 925468629, + 573331215, + 194554362, + 276237215, + 5331475, + 137273581, + 414117114, + 486589381, + 549497388, + 312915281, + 531479198, + 894776148, + 239933166, + 603377714, + 405601885, + 623728281, + 334370212, + 47269450, + 418762275, + 719711934, + 346710009, + 812891758, + 608348112, + 107712361, + 881223271, + 918535620, + 376366986, + 379989253, + 548264522, + 656015370, + 400019032, + 796166579, + 477178431, + 408333136, + 569799737, + 779092676, + 705285158, + 868627191, + 56448683, + 591095524, + 879859368, + 690381258, + 973877706, + 225479496, + 697704665, + 752637380, + 508416197, + 301315146, + 934404738, + 892909462, + 300873405, + 958968097, + 318483217, + 158952553, + 15657124, + 240452923, + 795663263, + 123537597, + 376542338, + 990934333, + 429535162, + 937496806, + 658455862, + 495991173, + 236903023, + 182138149, + 40611345, + 255176346, + 268350763, + 367637839, + 877059128, + 447738260, + 900919286, + 743796030, + 336422502, + 478383906, + 9816114, + 350453674, + 303130403, + 369753971, + 500701621, + 624363370, + 962813474, + 931766866, + 455626043, + 279923726, + 90942495, + 498308625, + 949235931, + 861148008, + 113271668, + 936390947, + 959256104, + 81152383, + 597065423, + 713698587, + 922937996, + 203065046, + 816626482, + 890732369, + 210853719, + 809311754, + 988856620, + 97548080, + 505149780, + 847145268, + 619479021, + 963031661, + 866122104, + 549543562, + 956201273, + 810867958, + 259637664, + 162797287, + 976602300, + 135987752, + 385086066, + 527908318, + 399889432, + 428832979, + 955342589, + 146754868, + 913141719, + 373545825, + 620705621, + 998408405, + 419657690, + 207634565, + 417751595, + 874822290, + 702682289, + 551118143, + 642648365, + 843183184, + 45387985, + 850288161, + 248224341, + 887999920, + 374169120, + 848448480, + 515827964, + 435283358, + 150592661, + 426093659, + 645533438, + 849968471, + 145768982, + 900174400, + 460750274, + 288532027, + 167301535, + 138946216, + 606590551, + 60801000, + 551986166, + 441916118, + 566033850, + 86215233, + 6445526, + 552309808, + 388167880, + 755509496, + 250371316, + 504131602, + 777554820, + 51575130, + 518565300, + 256175871, + 46924114, + 152510771, + 49226509, + 785781152, + 467148285, + 923443492, + 97601917, + 42984097, + 193993455, + 230744252, + 835867326, + 160338666, + 662374779, + 335528122, + 773022958, + 157397307, + 391348650, + 682289606, + 731179123, + 916216292, + 9484551, + 155076848, + 152631717, + 290953485, + 439559259, + 349899713, + 548099413, + 367194243, + 77920839, + 436072474, + 82264043, + 475307504, + 570814209, + 544018533, + 933030607, + 889607341, + 662432446, + 80929264, + 816073035, + 274529858, + 521776000, + 600819459, + 991951287, + 539739627, + 239228828, + 574429987, + 357592554, + 885757690, + 149365611, + 174880517, + 787834086, + 536418053, + 737965665, + 791477844, + 971155716, + 771594531, + 240711157, + 729172316, + 497019047, + 989407143, + 971282585, + 510567662, + 628182580, + 142003534, + 215032880, + 434638202, + 446845940, + 31138963, + 603873675, + 66146380, + 95499896, + 744572773, + 721534263, + 308323933, + 662972527, + 136269107, + 388783054, + 104569918, + 839524051, + 907653243, + 600020884, + 862541721, + 590599358, + 91511545, + 405913024, + 396061738, + 66168487, + 596223699, + 554678424, + 458611316, + 362403682, + 850265886, + 467663210, + 694535840, + 62207080, + 375384240, + 804693898, + 770211511, + 911608875, + 243961456, + 78410278, + 358778223, + 225509058, + 650314367, + 880852567, + 867724692, + 604381471, + 610352103, + 261731435, + 608079215, + 893562093, + 37565996, + 563510910, + 939837714, + 988315062, + 78005146, + 677503721, + 29719927, + 214570148, + 484475619, + 936714362, + 51338661, + 624569961, + 367826594, + 181125765, + 505918631, + 806158105, + 642017093, + 744104480, + 269775488, + 860172452, + 80842168, + 233255196, + 350548024, + 492010950, + 939676579, + 64458685, + 956858495, + 484766956, + 397939091, + 192748820, + 395312532, + 21197199, + 128161443, + 730581329, + 952150375, + 201670853, + 83308639, + 196634839, + 375919963, + 800707170, + 781780257, + 823343747, + 522904943, + 424913835, + 59344486, + 917959064, + 667608688, + 966242876, + 236382204, + 410320911, + 499503331, + 956957206, + 646126345, + 724174493, + 729864778, + 520498316, + 496658578, + 792248697, + 854884956, + 528833893, + 410515730, + 75601560, + 101892351, + 461851802, + 444409508, + 223914693, + 608818727, + 735190743, + 691144323, + 909650044, + 226554431, + 155578086, + 820990307, + 732816182, + 574751190, + 203815486, + 296860145, + 262626466, + 176659134, + 929414341, + 504895267, + 529864002, + 220186464, + 521409615, + 724796178, + 86600674, + 496316163, + 840817344, + 7501278, + 837669075, + 985167443, + 164575470, + 72101795, + 83829206, + 469843777, + 672060839, + 93050435, + 832905072, + 618941095, + 691756125, + 431431003, + 973262256, + 689859886, + 127951482, + 472532793, + 961145326, + 217595911, + 428196914, + 560021241, + 858514033, + 824943010, + 904045119, + 402392115, + 647892804, + 168616521, + 414407257, + 641198895, + 516120939, + 508782054, + 38169324, + 2282850, + 18586565, + 405918365, + 249762990, + 690109167, + 212979142, + 430455415, + 730401489, + 264720777, + 961702435, + 62493118, + 653544339, + 857486652, + 45021247, + 415968930, + 966602309, + 304563776, + 832671808, + 969970729, + 248597259, + 62274505, + 802965310, + 535440916, + 767251575, + 898576137, + 875976288, + 789486196, + 699868753, + 201391171, + 72211437, + 447081022, + 837938631, + 915315130, + 615579428, + 284761557, + 667743056, + 617911618, + 121322331, + 627789796, + 378607091, + 78819566, + 860651293, + 607609515, + 76717090, + 843949774, + 382179113, + 123256883, + 806808661, + 176765770, + 268268285, + 824219900, + 28539558, + 423039125, + 826948376, + 250588129, + 250800611, + 839614253, + 172466989, + 622890385, + 432201480, + 208443434, + 976813821, + 874521396, + 431939454, + 138807788, + 116917263, + 71465593, + 927177425, + 598897172, + 1709462, + 134111862, + 492411615, + 722524731, + 591799471, + 649089409, + 70196528, + 392992952, + 566093712, + 282599348, + 270431385, + 799168849, + 70338882, + 283747375, + 756431565, + 794008162, + 196641128, + 974796693, + 526808165, + 872767742, + 335392724, + 749386486, + 489152078, + 429493777, + 865348061, + 164614889, + 163236818, + 269580463, + 702864204, + 663365614, + 79374258, + 152018394, + 885441872, + 961657917, + 392380888, + 228938363, + 109646974, + 537854819, + 249756152, + 117340232, + 592622604, + 143236157, + 396813664, + 911803591, + 619966231, + 544925703, + 406459285, + 456503416, + 97640851, + 552376968, + 515108972, + 72531436, + 894101302, + 711785260, + 346785716, + 667692416, + 895274495, + 967714982, + 913452629, + 351293404, + 568595338, + 14245729, + 605525224, + 817301017, + 223724282, + 668494018, + 373068946, + 512943399, + 881558684, + 200108455, + 828728729, + 808671015, + 538249867, + 377302086, + 90579142, + 75849605, + 697831390, + 27084027, + 207824870, + 804450427, + 278703640, + 643267166, + 375300705, + 224857742, + 198506987, + 214682551, + 48761807, + 745862469, + 402239956, + 687334659, + 575950247, + 730101920, + 579515959, + 981182131, + 338638716, + 560856917, + 46633298, + 10690791, + 165875041, + 45796935, + 971972506, + 45065100, + 87578479, + 663374284, + 163681429, + 682357081, + 481248704, + 930273256, + 181957240, + 788300574, + 223070017, + 847216328, + 107635730, + 685727707, + 151178505, + 507049609, + 383889963, + 40023228, + 996816032, + 509741872, + 14115847, + 723062844, + 264100379, + 296588253, + 68980736, + 15385712, + 90981557, + 25143707, + 413701365, + 531244170, + 586090424, + 346268998, + 611388522, + 81095689, + 343569350, + 548336024, + 557962984, + 333296082, + 507110664, + 64774327, + 159075420, + 28321383, + 782344507, + 203688878, + 58371119, + 564110362, + 900451899, + 426557314, + 19822369, + 167748377, + 987732437, + 575764410, + 406318239, + 653294409, + 665955118, + 554522684, + 159348447, + 837380891, + 171201590, + 247364582, + 641383340, + 304813270, + 75118424, + 214577476, + 619924602, + 360076570, + 359846465, + 121606488, + 444735646, + 926309417, + 745335195, + 323960439, + 361198042, + 991925323, + 556958627, + 242915238, + 31596263, + 838311174, + 950154603, + 494863222, + 207590688, + 296701470, + 959392941, + 275981651, + 102534808, + 838179576, + 251383703, + 602245989, + 458464376, + 714183929, + 855809354, + 131367815, + 30998289, + 96736427, + 251535086, + 300787687, + 562815254, + 229074777, + 505730937, + 782759665, + 928535749, + 865539925, + 335441926, + 266981344, + 397520538, + 63031943, + 889784797, + 64863952, + 970981522, + 498160722, + 951945431, + 78521889, + 530551612, + 197490965, + 885295, + 459403591, + 774776292, + 695271799, + 964868216, + 617474258, + 788132154, + 594019538, + 779960764, + 640033534, + 839126142, + 329602732, + 599146784, + 100001430, + 374024420, + 666350935, + 443308813, + 375842942, + 831730331, + 962112046, + 732410117, + 166771301, + 522999415, + 381587655, + 428996210, + 713271658, + 481031579, + 451831695, + 566570241, + 332122325, + 89932323, + 462068757, + 333523170, + 176680743, + 215264392, + 873508203, + 523245504, + 621309678, + 391191762, + 459323496, + 633106831, + 25104680, + 930558052, + 87886622, + 251630726, + 945848058, + 832710854, + 75021570, + 588492176, + 910864480, + 489651731, + 872239799, + 393134255, + 73851295, + 483278459, + 623412685, + 665970618, + 906172616, + 618340723, + 959644371, + 349028573, + 454240721, + 700924056, + 630565112, + 970768050, + 396645088, + 850710448, + 174351519, + 22501931, + 572141979, + 458440688, + 890213751, + 867634900, + 508113257, + 994571096, + 631377261, + 693091753, + 519527198, + 322544272, + 927659660, + 476743132, + 379583920, + 459462450, + 177492298, + 558976360, + 994107857, + 489224340, + 150829351, + 53527762, + 637520943, + 944076542, + 308012624, + 205693031, + 354348429, + 615139999, + 406830855, + 69620400, + 159478446, + 240172044, + 766125364, + 280003971, + 904063705, + 757968916, + 325223380, + 33270092, + 667178987, + 777484406, + 140240865, + 403617518, + 467020657, + 424230387, + 608839231, + 9999534, + 966505850, + 667035798, + 812879882, + 140122602, + 727218504, + 275826576, + 91930415, + 659644388, + 222387613, + 104649326, + 633683778, + 250055314, + 92082319, + 680397896, + 225830032, + 610976207, + 862263613, + 249349791, + 192870435, + 744740398, + 296808190, + 190019030, + 391478679, + 629189499, + 297663965, + 619248346, + 340278600, + 689370749, + 806864057, + 766408980, + 47653494, + 745385445, + 462080799, + 681332164, + 713754247, + 456837407, + 368629709, + 115270735, + 502383869, + 408010657, + 461299316, + 144410168, + 414177529, + 227499952, + 825537471, + 182489226, + 38652724, + 182129796, + 571753330, + 71322038, + 260543706, + 802113946, + 363166673, + 879557250, + 736852393, + 287759177, + 876136245, + 112206346, + 175624476, + 438349878, + 238300653, + 546370687, + 281679260, + 433318855, + 514496110, + 74260745, + 371732741, + 921536200, + 501400003, + 882234981, + 238065963, + 893916423, + 644331215, + 893843204, + 207216870, + 31390715, + 459894111, + 715880228, + 401021161, + 296067737, + 653142445, + 746432399, + 497767389, + 583953400, + 915869743, + 166993547, + 59527503, + 973031978, + 668905713, + 373235937, + 960521336, + 345548837, + 82896564, + 620000234, + 798158927, + 199586094, + 784528988, + 143253903, + 344391963, + 438733875, + 705023834, + 492217490, + 273424259, + 67979183, + 721041820, + 488779193, + 476024373, + 256420469, + 393086715, + 975785022, + 844765083, + 712069481, + 371384848, + 885012191, + 326603804, + 631719382, + 122276312, + 23676002, + 449615410, + 943241127, + 783595435, + 264155424, + 752199756, + 929779718, + 793646891, + 898145153, + 378126969, + 174052281, + 967599680, + 499306095, + 724592272, + 593255613, + 47588133, + 290378367, + 80872648, + 976400915, + 409852479, + 67992532, + 179375748, + 930906108, + 704934140, + 905770088, + 82809776, + 993812612, + 69438726, + 59721079, + 898729108, + 790201280, + 228307218, + 238076460, + 576205268, + 8394152, + 50735319, + 724979183, + 813597847, + 39021255, + 255269817, + 387015767, + 502177797, + 522877337, + 822060945, + 435773160, + 677063779, + 88761571, + 698027986, + 205937150, + 58578813, + 960293741, + 224694252, + 481375727, + 822694588, + 846431930, + 691398141, + 385445692, + 290628381, + 217417572, + 400317471, + 204987283, + 197123434, + 369504332, + 713151480, + 982392520, + 174184598, + 357800646, + 713830313, + 488345111, + 536724899, + 406111670, + 799973966, + 810700746, + 274304459, + 631559971, + 146226204, + 690883732, + 244410549, + 65277055, + 969225359, + 206011929, + 147662570, + 268262442, + 346959438, + 193756626, + 550527814, + 822849115, + 554987594, + 75060627, + 775701799, + 797075437, + 232648646, + 437377424, + 520099277, + 477666854, + 839197092, + 34802194, + 860681417, + 454945322, + 362632720, + 91482570, + 1346922, + 230788303, + 962708553, + 94826266, + 178768561, + 363537655, + 998534124, + 584344726, + 535135863, + 670328769, + 109504196, + 549790291, + 841969102, + 238469495, + 362039526, + 780348620, + 890266470, + 501505057, + 965195944, + 752198845, + 180614411, + 574975433, + 746075606, + 838581197, + 661428653, + 364046394, + 538756117, + 210331601, + 755004784, + 321270807, + 384127763, + 736887061, + 88242547, + 192784353, + 430027013, + 980545983, + 368942660, + 98004844, + 451059443, + 443214260, + 324764340, + 554954027, + 800031013, + 272353360, + 583846982, + 905706919, + 30602417, + 283464928, + 753764772, + 746138474, + 2191642, + 67545728, + 848236481, + 503884392, + 491252659, + 498786394, + 789596057, + 628477469, + 163471314, + 442873264, + 307597734, + 70001787, + 644028896, + 730818008, + 950990853, + 171129838, + 482480395, + 874755720, + 466720297, + 509692500, + 836339382, + 191861692, + 77020410, + 546115169, + 80315951, + 965807248, + 884973698, + 203167631, + 796663249, + 443378538, + 187486233, + 387990852, + 595792361, + 208850689, + 444559175, + 958699608, + 754269044, + 732852513, + 973232506, + 860290736, + 671221142, + 989265016, + 878355562, + 827162688, + 340117897, + 197360870, + 618095799, + 935776650, + 155095604, + 203001100, + 183878588, + 315034924, + 964959547, + 480245096, + 604293435, + 806387861, + 680113527, + 947373600, + 277446092, + 459596193, + 992782556, + 699619610, + 922289465, + 500660938, + 886288531, + 395470365, + 944864205, + 693382212, + 367397318, + 562985924, + 629255011, + 985303952, + 940575301, + 113364924, + 546787969, + 368299777, + 406945092, + 62718219, + 14406436, + 815741220, + 61695158, + 504669574, + 786138553, + 1505647, + 588767777, + 536290328, + 203271294, + 407160654, + 388306208, + 292458743, + 364239542, + 484315709, + 926551691, + 544939608, + 58680798, + 993187662, + 27953206, + 570945027, + 598558536, + 972392653, + 295803400, + 616576074, + 220310493, + 517732420, + 937507723, + 934923397, + 764150042, + 155552516, + 489106806, + 617535652, + 504792994, + 78663147, + 132087223, + 298743721, + 908587608, + 414771720, + 556425128, + 225995156, + 796280433, + 372261163, + 494231249, + 750619426, + 705109896, + 206269958, + 839427919, + 468672105, + 206815370, + 401090131, + 367808305, + 425509903, + 923355222, + 882653487, + 179006901, + 114165356, + 712647393, + 145883642, + 319219949, + 815931664, + 902434750, + 656683808, + 495914505, + 87688213, + 948455723, + 25679996, + 232498264, + 375699054, + 793266369, + 154606436, + 49882529, + 36510228, + 108603841, + 415908849, + 840200131, + 781839055, + 704231617, + 584065484, + 155350489, + 712825211, + 913807777, + 180279795, + 207314886, + 171920059, + 45234788, + 863285305, + 306850155, + 304842231, + 693330369, + 949055238, + 399411886, + 95996480, + 706996079, + 135642416, + 592804435, + 865112755, + 890810142, + 201049674, + 374814494, + 852909287, + 749306341, + 165279858, + 808442665, + 216373937, + 220285267, + 834053723, + 163550978, + 128628181, + 938528097, + 783198353, + 357737992, + 238206282, + 182328752, + 406477500, + 517044214, + 426846433, + 16451593, + 805641889, + 866456194, + 746755280, + 246515645, + 591142466, + 637924147, + 883621225, + 19431642, + 33304927, + 179272394, + 327130490, + 894617730, + 435187300, + 966004828, + 347019991, + 150889733, + 642312383, + 494389161, + 656371015, + 70736358, + 624825524, + 333112664, + 368305759, + 414803359, + 338114362, + 717715470, + 770372213, + 347242697, + 78539843, + 990647601, + 912791511, + 331908920, + 436141351, + 870505515, + 997020248, + 738693718, + 893152670, + 962811096, + 479666663, + 593356483, + 317868521, + 604756552, + 2295575, + 41260452, + 2065586, + 866156248, + 296479400, + 618001689, + 96658089, + 929014072, + 50353254, + 960801390, + 941542331, + 356679540, + 281066668, + 531919265, + 953791268, + 504329724, + 581815735, + 371145517, + 70379160, + 280547074, + 330575865, + 745595141, + 406849654, + 759820175, + 514496312, + 825134750, + 716279675, + 811200868, + 925096076, + 746674441, + 72766959, + 920637776, + 713982243, + 100516965, + 149019013, + 639887879, + 332345688, + 258462146, + 329339283, + 448883052, + 922781796, + 786254291, + 633497995, + 950502191, + 716798912, + 573286347, + 167515566, + 191525657, + 579828663, + 842977034, + 813008275, + 849590517, + 890029518, + 422918743, + 518019748, + 876193272, + 152299389, + 814164966, + 410192763, + 108877312, + 649183551, + 155663332, + 894205730, + 846869777, + 808999950, + 548438102, + 509958761, + 484971684, + 756304798, + 313567992, + 821134224, + 992770039, + 589815962, + 468269185, + 936397192, + 42317305, + 106009334, + 192085320, + 995086078, + 269727360, + 556512894, + 999654650, + 623696287, + 131027908, + 659367209, + 492772098, + 905798345, + 56498260, + 780504871, + 174171173, + 410468795, + 404922700, + 247293540, + 300453819, + 86771761, + 241595061, + 456803544, + 908913161, + 820962136, + 818275509, + 940242413, + 195556255, + 596920206, + 290841155, + 720928842, + 962650351, + 851120282, + 747365180, + 185482393, + 341983456, + 957165310, + 182550305, + 731238740, + 90238917, + 896413833, + 459819550, + 62008988, + 394590462, + 914973632, + 654541539, + 923567249, + 128358872, + 373740636, + 265275454, + 384030265, + 181884370, + 975870815, + 664041056, + 588276999, + 231768290, + 107343489, + 473362139, + 584359827, + 864059150, + 586456121, + 660010961, + 589952053, + 90000949, + 830707668, + 52242640, + 514408887, + 802800368, + 975665519, + 733411069, + 411023843, + 150701883, + 506867504, + 233252214, + 100543516, + 699562278, + 450334811, + 474520512, + 50414467, + 152313370, + 358058332, + 576493941, + 253785507, + 645675377, + 390847978, + 360127208, + 71701887, + 506790941, + 543944044, + 373291593, + 249016077, + 548016718, + 389787349, + 863366560, + 979715452, + 849053431, + 569109266, + 899288899, + 420529827, + 225933546, + 806681591, + 711736545, + 25284592, + 591401132, + 101182231, + 242572311, + 78668254, + 694486023, + 15386430, + 574162294, + 757340990, + 502709116, + 413448135, + 448798493, + 684933578, + 897001011, + 859244494, + 855875113, + 616624432, + 480500027, + 722811689, + 876760576, + 363217706, + 297172723, + 847547283, + 248044217, + 662313666, + 858437893, + 387371874, + 921875135, + 692152414, + 874764355, + 332573180, + 451541474, + 669732071, + 512225185, + 375471257, + 936461671, + 245997035, + 199386951, + 752318471, + 689198019, + 821418668, + 766269485, + 702534832, + 733892321, + 937537632, + 202104191, + 972415937, + 974327455, + 114146315, + 659985501, + 281339937, + 24359203, + 704270742, + 398030948, + 587759051, + 458902853, + 356199809, + 856478849, + 523252160, + 220406070, + 30365815, + 567011699, + 850472260, + 825073435, + 339214730, + 583536753, + 608806562, + 594522500, + 933528551, + 303172092, + 189520814, + 814054381, + 113387436, + 210557480, + 779263304, + 811639170, + 339573645, + 331105385, + 215218344, + 679269381, + 478353651, + 350528157, + 278106535, + 507490191, + 654326957, + 343661653, + 241930813, + 727714139, + 946088077, + 794034958, + 208707594, + 602524511, + 476419465, + 956242291, + 915356158, + 887223299, + 625445507, + 569325623, + 580242928, + 838149458, + 567403944, + 904006067, + 998985567, + 684076456, + 727913110, + 715085526, + 112725420, + 482427640, + 788897704, + 969997923, + 278065723, + 506021059, + 38298957, + 496113172, + 503777158, + 997106999, + 464128506, + 571314827, + 126911763, + 475763612, + 477759673, + 737383355, + 818641277, + 727223930, + 165430750, + 137948166, + 945317198, + 354976160, + 133375289, + 590700590, + 782199799, + 169494189, + 299575739, + 951584377, + 364982626, + 444309544, + 160243111, + 456789725, + 607930218, + 225813748, + 157773042, + 76703494, + 253989042, + 736351242, + 472007927, + 442568329, + 600563762, + 92512244, + 750184612, + 851256613, + 236864583, + 271108420, + 447281723, + 62925963, + 158503424, + 491292144, + 652857420, + 279166726, + 891017777, + 373343801, + 108209094, + 734119784, + 498003584, + 892727251, + 72506095, + 488927670, + 7450717, + 506825671, + 769350627, + 162867061, + 506181949, + 42822397, + 531232870, + 765410567, + 834935492, + 297179229, + 934792014, + 706054342, + 794823780, + 84978239, + 466899742, + 993206581, + 698004665, + 330459783, + 851702784, + 95164086, + 729101474, + 801088659, + 504423255, + 826161712, + 275217587, + 97551799, + 326740501, + 333400229, + 248217849, + 883318318, + 5523328, + 419177756, + 701911667, + 822492098, + 324613462, + 269270190, + 495917377, + 136806735, + 324222161, + 295036684, + 522843008, + 554185532, + 163757284, + 134964034, + 650972125, + 668935378, + 655882972, + 886041692, + 673874056, + 386776814, + 573941503, + 25212222, + 422331882, + 561413515, + 951170085, + 224115479, + 400072905, + 194092773, + 596921003, + 427611729, + 515891008, + 498974187, + 641612685, + 157798273, + 930114736, + 456694074, + 298959773, + 743308512, + 960247939, + 133889093, + 196134433, + 469952609, + 543586914, + 495069289, + 671781924, + 446144350, + 7140390, + 378204170, + 147234912, + 3291195, + 630273017, + 829558408, + 205668991, + 546357810, + 341337177, + 874969086, + 112654721, + 531077799, + 542684757, + 40214345, + 639659725, + 739409073, + 746313359, + 8350195, + 827020479, + 778676063, + 403495582, + 197375135, + 11786664, + 941112542, + 450008277, + 774925048, + 188271075, + 821885984, + 885784316, + 743637794, + 660905401, + 971354369, + 287100135, + 604637885, + 296412734, + 521220971, + 402828864, + 51472792, + 141426236, + 19613888, + 806539194, + 736039840, + 731564273, + 143618918, + 737354059, + 236491340, + 77263520, + 616776772, + 176546391, + 381956369, + 152912501, + 262594699, + 412179951, + 897316581, + 598328556, + 20990523, + 200501225, + 396829036, + 486150070, + 237770707, + 97376287, + 679622056, + 307680806, + 792633934, + 128585358, + 257905839, + 32307251, + 581199715, + 221515029, + 784885275, + 714876395, + 945925756, + 903250776, + 317830733, + 392940838, + 963765795, + 487003281, + 75746729, + 759494684, + 822119460, + 632128897, + 946501222, + 210437508, + 211574125, + 307487911, + 91374330, + 347093493, + 300869199, + 629918265, + 863398506, + 691727507, + 556097321, + 911245289, + 558657907, + 831742211, + 6197548, + 928754438, + 394757287, + 192939002, + 54011045, + 462322708, + 141826995, + 253602635, + 676714601, + 300398342, + 42660931, + 314048528, + 924880066, + 671947283, + 365257727, + 246002610, + 856836338, + 601401807, + 81046531, + 902273265, + 580489470, + 439173088, + 713176159, + 544965871, + 583974630, + 906840000, + 334023962, + 993048428, + 227500428, + 82890007, + 357271232, + 559050200, + 500847662, + 382909240, + 41555471, + 482606795, + 392867781, + 968094403, + 614888831, + 667021159, + 834537318, + 475406475, + 535130731, + 76173234, + 897459893, + 820027663, + 745923862, + 197222401, + 656373933, + 944473418, + 682892270, + 861330419, + 330917468, + 805107152, + 529516787, + 842157965, + 758540540, + 899195004, + 192866260, + 298251198, + 911024998, + 281642491, + 366305018, + 93321393, + 933652497, + 187369244, + 994763065, + 974563094, + 286465012, + 6876626, + 123240400, + 899041496, + 891524093, + 587219766, + 510648609, + 886400812, + 717605711, + 832639454, + 456586840, + 890305724, + 374322663, + 476948864, + 714521798, + 806081834, + 154913863, + 184507204, + 565017645, + 359360942, + 226227207, + 943805354, + 879713891, + 28300463, + 844046586, + 706503012, + 15031623, + 602891221, + 449994011, + 429292701, + 899847770, + 909535767, + 865536546, + 622078150, + 66601641, + 567722822, + 828035432, + 935175598, + 935782124, + 325407749, + 463188457, + 353894608, + 749505837, + 158440462, + 702923608, + 420501860, + 989087570, + 503460816, + 271912181, + 921980537, + 87500768, + 227684280, + 351077163, + 128327765, + 836013349, + 82461624, + 295456421, + 386637263, + 600156233, + 502322651, + 645144639, + 332803155, + 139250169, + 724016152, + 740528942, + 216488748, + 298324999, + 69466573, + 838604549, + 119698605, + 835581445, + 559518287, + 77580012, + 109155046, + 609068539, + 679255046, + 782439433, + 16960034, + 914500321, + 188266170, + 959524768, + 375096550, + 3094361, + 818577996, + 88376119, + 295387788, + 937771268, + 241726717, + 19483933, + 801713227, + 38845511, + 909129618, + 320998733, + 947880729, + 274312683, + 583042620, + 327502151, + 392250695, + 938063247, + 433806210, + 320013106, + 247561395, + 304723446, + 611800364, + 577060365, + 518782308, + 952367951, + 819385379, + 203754331, + 711291907, + 290605789, + 749869057, + 733529888, + 633003904, + 594843571, + 192144646, + 342115005, + 412233315, + 924583709, + 97759251, + 432096176, + 406625474, + 60904078, + 950288812, + 720563991, + 986529732, + 27726928, + 826628963, + 330110044, + 680618414, + 750432866, + 704987127, + 349851229, + 957446793, + 994106082, + 964714593, + 339325676, + 568810410, + 185071587, + 902279601, + 913974357, + 494139547, + 446348148, + 709195114, + 953091402, + 56379663, + 367959861, + 281772441, + 175196907, + 193158275, + 591846189, + 893584006, + 900705808, + 703748452, + 924796691, + 955182610, + 886452586, + 65435036, + 635566900, + 28855687, + 443491459, + 690061446, + 556798193, + 9778386, + 460625734, + 646822056, + 716713751, + 730066421, + 477579974, + 146209395, + 847190339, + 176173546, + 40613475, + 50420939, + 551346875, + 271525429, + 643454834, + 986743868, + 370646383, + 665033659, + 924577549, + 546684285, + 938981083, + 624381953, + 527738628, + 542018238, + 2038188, + 145725045, + 237290896, + 997676911, + 450178420, + 912688277, + 118435639, + 11486528, + 705900202, + 202431677, + 192518381, + 671602045, + 524597190, + 472156307, + 798191456, + 191013884, + 934641081, + 489337562, + 383463593, + 768395147, + 229903967, + 631270075, + 540498309, + 16900237, + 929809699, + 373270149, + 248241931, + 748287763, + 377585869, + 171386530, + 720126208, + 398399552, + 746424329, + 780422708, + 263989991, + 144150331, + 345958011, + 184078779, + 849716529, + 276430122, + 605908393, + 326539204, + 130170106, + 563687452, + 588859714, + 674283665, + 773268553, + 140985367, + 442740209, + 932840764, + 803692213, + 776248623, + 102992327, + 419190881, + 323989045, + 553359913, + 451617740, + 599999359, + 949584992, + 352146874, + 8417860, + 650074816, + 636395179, + 768103782, + 682960839, + 553435832, + 98017018, + 806524428, + 153285580, + 876112460, + 709111592, + 603725337, + 82707016, + 864503674, + 532395304, + 763740367, + 320428443, + 379729145, + 206378202, + 680903181, + 310883041, + 445254189, + 126149027, + 273461883, + 790776573, + 376515829, + 490534546, + 318491172, + 588756105, + 312761075, + 842506060, + 139182834, + 951966515, + 79500949, + 316087467, + 752278281, + 351106473, + 348364212, + 649911847, + 858572035, + 849559195, + 766230357, + 961896111, + 988444396, + 300011676, + 612853334, + 455255122, + 140179071, + 619331365, + 954812054, + 800697415, + 514517471, + 699778998, + 758837919, + 55278400, + 516027398, + 350535328, + 781676228, + 478056366, + 349769427, + 915507737, + 376695263, + 736494145, + 149726433, + 410799331, + 311719233, + 336582226, + 464149486, + 521637541, + 192169181, + 442290372, + 652236634, + 479169732, + 155712251, + 721111414, + 680393351, + 420535896, + 798964537, + 514829309, + 988764062, + 666186499, + 853508305, + 280825326, + 656624234, + 907253455, + 430487118, + 326331827, + 545746561, + 827210170, + 373350456, + 880494766, + 936340106, + 709879081, + 671019740, + 615892470, + 443164028, + 123400371, + 326315738, + 95200497, + 627134840, + 991822544, + 437718122, + 592920007, + 904605167, + 905083519, + 726598280, + 597140825, + 42194731, + 232502620, + 230014486, + 395654696, + 673026577, + 34860748, + 8399639, + 487126339, + 602543803, + 183266410, + 486233582, + 622113033, + 226354871, + 513926678, + 57608157, + 838319130, + 70955021, + 858358992, + 905682627, + 353579736, + 735788126, + 273412180, + 793891862, + 724650768, + 237352722, + 220878161, + 286383119, + 873889021, + 448770918, + 571576457, + 457064700, + 808457106, + 917436360, + 98816323, + 6170200, + 728387901, + 363854644, + 252591279, + 274048961, + 7956286, + 637650320, + 256711099, + 945972172, + 579818106, + 78260003, + 827183598, + 478105170, + 515727903, + 782298425, + 683020935, + 286579514, + 456793959, + 241673300, + 940919299, + 151633926, + 479483506, + 783637880, + 744563278, + 194826046, + 681909654, + 39401860, + 871867480, + 657387639, + 352880111, + 58648378, + 558020170, + 617722759, + 318251790, + 170015800, + 162945446, + 572250893, + 609284472, + 479951416, + 334825495, + 697419076, + 222518413, + 396625552, + 215892174, + 435841502, + 979726838, + 498656066, + 50438781, + 402675120, + 904655923, + 954618407, + 995106918, + 976073668, + 274170531, + 452417665, + 494657303, + 48000351, + 623413256, + 489764874, + 705184329, + 54333014, + 147217316, + 380916964, + 982762341, + 347752784, + 840431395, + 512502012, + 827240979, + 827374545, + 988905570, + 6691096, + 505607621, + 851226644, + 941414337, + 139757636, + 189794485, + 636226035, + 544814232, + 838057823, + 246615043, + 857037689, + 429695095, + 563521819, + 700350061, + 314791528, + 759275308, + 106136809, + 863215350, + 890722174, + 513201198, + 169588058, + 18407361, + 244698626, + 849811136, + 523102482, + 988046602, + 937782887, + 198214237, + 614732875, + 630068637, + 776909733, + 423614087, + 954107868, + 971491122, + 626364901, + 782341807, + 205066338, + 211662798, + 79759682, + 771776143, + 296281276, + 54867662, + 182304810, + 456507748, + 875738804, + 38934346, + 513924246, + 67624364, + 441174614, + 592597203, + 887963047, + 671412907, + 81132428, + 371466099, + 369507194, + 791536706, + 405337304, + 86703244, + 176293055, + 999075953, + 745554972, + 204186361, + 893201172, + 902183545, + 232118291, + 783284181, + 583351046, + 462807027, + 880136338, + 397240388, + 429481088, + 935167180, + 94816457, + 835991466, + 140864722, + 480726275, + 578198429, + 856901163, + 610851517, + 525053793, + 56521769, + 819030192, + 953111395, + 380870582, + 979283515, + 451835306, + 177019966, + 106203176, + 40984474, + 458810736, + 35062861, + 94798699, + 410892526, + 757973576, + 760225808, + 144301397, + 438487129, + 458087910, + 617841306, + 53862063, + 881474555, + 648725032, + 625850869, + 106846793, + 59103321, + 130287170, + 55858190, + 106256979, + 467609062, + 733529465, + 921660093, + 42651837, + 287224135, + 331009045, + 739351487, + 59263952, + 997062136, + 25975033, + 185527666, + 792017077, + 891541964, + 20833729, + 813291921, + 652900308, + 212233283, + 154043146, + 364259532, + 839047024, + 470259066, + 944742692, + 41438365, + 431113069, + 571174040, + 442001780, + 573198268, + 878497441, + 132693610, + 902642512, + 23692264, + 852735461, + 643391819, + 665958762, + 221963136, + 749511817, + 579518106, + 5509355, + 630358796, + 910782109, + 113100991, + 192061930, + 597184570, + 716798456, + 574838673, + 76997997, + 479259004, + 234621367, + 931318381, + 608674963, + 29866866, + 975279414, + 502991113, + 434655698, + 407023589, + 411870282, + 624474665, + 274221751, + 99950408, + 262106537, + 716845021, + 337077676, + 609345062, + 519122507, + 304289114, + 719951465, + 176110, + 954987274, + 815425092, + 71039173, + 710080504, + 81802667, + 591535768, + 229776424, + 753255660, + 366725518, + 165047097, + 551944877, + 80392950, + 640999654, + 841446938, + 272892163, + 438868922, + 559793645, + 171495704, + 60344413, + 243984976, + 764656231, + 158874348, + 895875300, + 270565635, + 304699972, + 354588864, + 184701914, + 893713292, + 933071872, + 45850169, + 525883529, + 689305900, + 242554507, + 57949580, + 323918702, + 101033909, + 627515772, + 406634322, + 136135600, + 527436270, + 112688027, + 171304360, + 393831291, + 586183317, + 275121519, + 263520185, + 137794446, + 28125746, + 620367348, + 504148197, + 538271959, + 175747565, + 185043089, + 986833262, + 312234376, + 319599038, + 734318940, + 351400556, + 216417579, + 990681532, + 112333277, + 41996147, + 774213456, + 300932224, + 453811385, + 266081497, + 61674859, + 585868369, + 171763549, + 673828718, + 473270348, + 702710701, + 637874468, + 464683132, + 582244949, + 806149756, + 764639168, + 513696848, + 338291917, + 456000069, + 627643430, + 298904242, + 251893994, + 293059545, + 954290084, + 295451152, + 760257821, + 72194535, + 771892440, + 100458621, + 168583877, + 843097152, + 759290206, + 725400684, + 566933715, + 967502404, + 176293142, + 994525645, + 325106871, + 783667701, + 924375833, + 483334099, + 290840983, + 442401896, + 404387225, + 470441542, + 781870448, + 699909558, + 856628449, + 138270830, + 15404944, + 265728940, + 544184140, + 233968399, + 444536340, + 993221223, + 451426594, + 503397701, + 360556046, + 323610031, + 298766218, + 964482359, + 63537228, + 869661946, + 558806744, + 818817797, + 915391262, + 482475944, + 503546583, + 390943121, + 633746812, + 279591874, + 924859066, + 208413322, + 879899082, + 317222003, + 513817540, + 606889261, + 799186780, + 730547604, + 322327396, + 431469975, + 793382208, + 173561212, + 786905107, + 380400206, + 373707612, + 880782649, + 963531696, + 667116659, + 190112770, + 993269622, + 964146561, + 767628943, + 804378147, + 599274498, + 303043090, + 963770167, + 699452920, + 407487594, + 524024414, + 121796924, + 209262746, + 754647745, + 669101433, + 579471, + 513069676, + 737185823, + 418631796, + 695520704, + 234254946, + 773037087, + 559865799, + 481101916, + 342912787, + 283825443, + 562977445, + 340069583, + 155078035, + 980182810, + 488659457, + 202466600, + 803091352, + 936976299, + 297769593, + 949965738, + 957792076, + 298368043, + 711194837, + 597086919, + 95857692, + 664946225, + 271093470, + 34373913, + 328645400, + 563232451, + 548159833, + 370578326, + 341724629, + 970549012, + 591472013, + 847365157, + 114268571, + 722927905, + 502447327, + 255313162, + 385122142, + 927473524, + 979135073, + 591906203, + 39050727, + 510464489, + 614585705, + 622637922, + 420776640, + 509461937, + 161789328, + 792251179, + 776709370, + 567866941, + 785129893, + 490536534, + 921640074, + 900064689, + 134379550, + 564983414, + 178914109, + 114331868, + 994623611, + 898404498, + 561919861, + 576618887, + 627898067, + 580860331, + 20603532, + 769682024, + 199635178, + 575226037, + 279515065, + 803439446, + 424828341, + 261990628, + 23433182, + 733710688, + 139333207, + 767734981, + 433105596, + 660640752, + 278130782, + 109192457, + 839583446, + 447875256, + 998085433, + 846337512, + 117751281, + 617136025, + 723718152, + 419778792, + 955213217, + 619319990, + 44924395, + 816057871, + 743856842, + 984688650, + 417707366, + 535204575, + 932319570, + 499027506, + 757931450, + 405807634, + 198275254, + 980132060, + 396039667, + 773943660, + 926781176, + 402287440, + 629006096, + 538452985, + 404137215, + 136426050, + 741093962, + 753989209, + 257877342, + 572462575, + 540950406, + 344324171, + 70391687, + 778181364, + 955321310, + 587315315, + 701178046, + 840234656, + 225094713, + 308147716, + 838792576, + 577487562, + 428502981, + 653074512, + 590610055, + 22598444, + 21969844, + 242033708, + 200611577, + 913875283, + 21876486, + 864542873, + 466860493, + 25129619, + 25861233, + 497900922, + 348987843, + 146526320, + 542646176, + 435079770, + 372207157, + 417808697, + 177347109, + 664264967, + 731449192, + 270112119, + 619416470, + 501592599, + 945285293, + 775436697, + 64684103, + 881390905, + 891804122, + 292170167, + 118540739, + 809761542, + 342847561, + 45686286, + 17746520, + 222267418, + 530720762, + 79757126, + 253665319, + 52359476, + 973757830, + 343395681, + 349734517, + 779132365, + 633288479, + 428790068, + 735405769, + 936327, + 233381154, + 235513417, + 230466169, + 729889208, + 642147090, + 264047853, + 357577935, + 396460793, + 17007473, + 905811528, + 651024950, + 770437648, + 31356370, + 949893395, + 452004702, + 607769622, + 253388505, + 928791893, + 483206806, + 15949365, + 70764511, + 337582256, + 799890148, + 50790079, + 800223418, + 421005375, + 833478899, + 602288424, + 994690921, + 844945588, + 727969738, + 58278989, + 478667095, + 377425093, + 219545894, + 432428602, + 999338857, + 678478121, + 179889098, + 623037361, + 575912807, + 90750292, + 523987250, + 774673273, + 2931546, + 399612618, + 797302772, + 8047395, + 421356798, + 196796557, + 825496749, + 591440418, + 577121907, + 618773777, + 363632593, + 213617612, + 853018562, + 180469239, + 961617719, + 310023263, + 742673092, + 655797100, + 861038177, + 797995633, + 465619274, + 854917557, + 123935363, + 443643673, + 394051857, + 90279500, + 490194570, + 83428862, + 430037524, + 610041888, + 311163423, + 520620262, + 169446134, + 808117550, + 632459432, + 381251382, + 346320498, + 161215196, + 704184307, + 688824397, + 514266523, + 66767622, + 586999323, + 306657051, + 753063585, + 74564118, + 993075793, + 872789450, + 906304100, + 218396656, + 577982969, + 610374013, + 702670844, + 256984048, + 872185032, + 208700944, + 565405050, + 209770397, + 111430212, + 145382655, + 141132443, + 952829628, + 915578955, + 875330929, + 674809968, + 891091669, + 467382882, + 402830535, + 105814930, + 381274054, + 84882080, + 555155219, + 71716099, + 81058288, + 113633678, + 429414773, + 643478179, + 282900296, + 180887696, + 101813286, + 582886359, + 926302011, + 127830490, + 974561999, + 678979957, + 675810563, + 375230659, + 251575431, + 800128462, + 589823166, + 573359566, + 708197522, + 912006365, + 251823052, + 490901285, + 813346737, + 487054442, + 588098708, + 160981422, + 590826962, + 167504460, + 136972197, + 824608063, + 475195129, + 889909517, + 110895714, + 160321121, + 552603184, + 920553189, + 125616, + 137676272, + 396242954, + 130709706, + 531011987, + 114316378, + 577851397, + 885029833, + 108135122, + 152740409, + 739150447, + 100715168, + 411667132, + 402176397, + 703079243, + 545106065, + 978705614, + 126221092, + 650389554, + 313746178, + 264361702, + 412538332, + 34271410, + 820810110, + 797295926, + 180883545, + 703461511, + 539699710, + 458898889, + 15423689, + 394876600, + 756894171, + 204056690, + 692078708, + 42292733, + 25739014, + 131211609, + 674999466, + 75862537, + 503311196, + 357686483, + 760240237, + 237647953, + 535155316, + 242230925, + 326263516, + 754612079, + 586766296, + 843895003, + 651214819, + 285752803, + 931658651, + 191339174, + 203873908, + 733326685, + 872130605, + 25673318, + 971861256, + 555079522, + 84129738, + 573747161, + 355027765, + 954081720, + 418893878, + 833372449, + 720089116, + 363921348, + 925613852, + 452403950, + 284839614, + 602996529, + 974354701, + 904221851, + 218635168, + 203196222, + 71410642, + 196847096, + 172839711, + 894622134, + 709570724, + 732459572, + 832165085, + 943571413, + 760445692, + 763530951, + 217170005, + 501593706, + 198934970, + 224464895, + 179615431, + 737325133, + 652926420, + 658044632, + 829284550, + 407788216, + 928500387, + 846501560, + 832629424, + 730184349, + 748959037, + 993263004, + 483341165, + 760577570, + 766246230, + 185966985, + 899426837, + 430861015, + 412592063, + 221554189, + 592046348, + 370745595, + 147080153, + 429956703, + 204342011, + 534758139, + 477671890, + 383591193, + 649229183, + 803175346, + 543054612, + 983774914, + 755405964, + 851439346, + 475030812, + 960070022, + 347640738, + 366119567, + 81137461, + 287914088, + 637020556, + 696062279, + 600184316, + 597550213, + 307991163, + 627140047, + 33844861, + 741156415, + 174973638, + 574924861, + 502004294, + 491152708, + 371933489, + 438599924, + 587503204, + 193675146, + 867012871, + 274780783, + 941157221, + 449928147, + 747475818, + 288524351, + 90529330, + 290172614, + 70302635, + 82436581, + 199034166, + 780273590, + 637808001, + 477744689, + 700640330, + 972326100, + 644125193, + 552632007, + 96183701, + 678074581, + 325174055, + 945207565, + 301517157, + 888945905, + 81566506, + 337123444, + 83307725, + 604189118, + 408153267, + 10114851, + 892666301, + 430660969, + 282910377, + 645991093, + 975760701, + 922491341, + 563114517, + 413834577, + 608867809, + 702678873, + 93860474, + 240074889, + 287619413, + 687601022, + 587446313, + 190697662, + 66710624, + 674239863, + 23759387, + 77500791, + 306766612, + 409398851, + 627519898, + 892641270, + 346119516, + 284466612, + 336799609, + 782919190, + 91984401, + 341136087, + 668652196, + 264866524, + 894091373, + 910411446, + 305660546, + 850604912, + 368603531, + 564185476, + 756115901, + 581148958, + 596575932, + 723098293, + 810811689, + 913143023, + 151599645, + 854619381, + 889156821, + 529687085, + 198061242, + 364390766, + 284844314, + 996488966, + 836507816, + 377375165, + 487047340, + 85104984, + 342239169, + 531699480, + 920465303, + 597966992, + 890413931, + 54449645, + 405975404, + 344339940, + 539846152, + 470593371, + 982871602, + 999770783, + 687080452, + 333132915, + 995794614, + 700662458, + 657704829, + 458172140, + 852366457, + 892033037, + 16098443, + 403744750, + 153717031, + 271167945, + 319392064, + 978886419, + 807618453, + 276595107, + 210811421, + 786015306, + 723887375, + 473100165, + 703954414, + 919750518, + 559613824, + 730762418, + 464465081, + 172686743, + 797703304, + 81655104, + 24445208, + 141972075, + 727565736, + 346267315, + 704764241, + 282371565, + 566660583, + 765413571, + 302560684, + 855886849, + 327446857, + 268072995, + 848079230, + 642483112, + 240138770, + 63004413, + 420838215, + 428052926, + 689971987, + 17735377, + 40056281, + 542960992, + 240791257, + 938461643, + 875019804, + 704770908, + 500797649, + 847535470, + 24200970, + 869316303, + 164334954, + 635671329, + 436468370, + 292969748, + 756640174, + 417497368, + 945587124, + 949382707, + 366282432, + 613919734, + 589840291, + 448881684, + 800194301, + 556634614, + 330028859, + 401982489, + 411682499, + 221062819, + 919817980, + 781624956, + 491813524, + 503434815, + 8759396, + 44031875, + 20864087, + 661420038, + 441518512, + 370031045, + 146092060, + 708630917, + 526594381, + 875883167, + 799549479, + 649041100, + 270405497, + 214632309, + 512954334, + 651999541, + 241597439, + 981291010, + 5848525, + 666523910, + 123504938, + 443285828, + 634468868, + 436414601, + 510406000, + 801551761, + 531835613, + 348954373, + 585619485, + 521498960, + 679477350, + 930221422, + 799957751, + 189755282, + 1457352, + 415701017, + 724751331, + 4222728, + 397645388, + 782331041, + 870241151, + 716445163, + 165413954, + 328116809, + 940753698, + 398122521, + 157281967, + 841068974, + 369059355, + 899260451, + 600164635, + 618898110, + 132983072, + 652704045, + 597401296, + 743971057, + 378882954, + 545752642, + 144543907, + 779751315, + 902491077, + 64784838, + 361065245, + 237387461, + 972159779, + 981493685, + 772257605, + 7872904, + 173966631, + 829401986, + 217882632, + 185883021, + 385536532, + 199384449, + 77521529, + 104413257, + 504844988, + 9386376, + 136063584, + 25580340, + 800622837, + 580449079, + 197138693, + 810700347, + 763720982, + 710241975, + 415333057, + 856117621, + 440012626, + 114874418, + 883151394, + 988916521, + 803164096, + 250309293, + 17129655, + 347825922, + 110647442, + 483309937, + 637003058, + 386259388, + 802673236, + 83851532, + 386284368, + 603113310, + 287899051, + 314487419, + 357672055, + 132138283, + 153757680, + 643352680, + 620940764, + 729354284, + 120444471, + 317296061, + 244079872, + 837361835, + 328559334, + 20753296, + 607766336, + 275380364, + 474104964, + 304815072, + 554859931, + 702578849, + 299080134, + 359335896, + 273841164, + 425700489, + 391169404, + 737455720, + 174690882, + 348945851, + 539790326, + 123939376, + 91293241, + 646955702, + 910041041, + 546962165, + 698330961, + 950246518, + 491395984, + 873356226, + 525474239, + 363683933, + 797599340, + 457775551, + 655032397, + 255530066, + 387557965, + 331626276, + 174616901, + 631235849, + 301788375, + 176275910, + 471394126, + 804523931, + 188267973, + 111549293, + 762548196, + 656012815, + 773597299, + 925800788, + 742909561, + 698169694, + 284889618, + 507442591, + 535598797, + 986885029, + 956922608, + 360737463, + 181535042, + 412633748, + 415334195, + 996174643, + 123053682, + 260358171, + 581047315, + 134878294, + 838183063, + 302086397, + 504235848, + 500593555, + 286601363, + 97145024, + 374340006, + 644823136, + 942490885, + 444650363, + 975303189, + 90817293, + 815477264, + 624435770, + 655205631, + 122735593, + 974382955, + 310837117, + 888064814, + 865550878, + 912960868, + 769355029, + 291185785, + 826544564, + 174428626, + 304974552, + 95866444, + 987313881, + 820023723, + 967368714, + 74762275, + 926055517, + 383165581, + 419141944, + 977896516, + 513039177, + 337388264, + 170779735, + 716724714, + 756025030, + 408834521, + 306287555, + 743885292, + 426085681, + 909637787, + 387178645, + 280140144, + 91051996, + 982026219, + 483325865, + 20848431, + 872255607, + 840925747, + 479195087, + 227339302, + 179221391, + 218557659, + 459990279, + 582485153, + 318270090, + 814083344, + 162040399, + 914181390, + 169539254, + 727379327, + 384270613, + 733185434, + 506372503, + 372506400, + 839079012, + 502848401, + 288666702, + 307741746, + 308806047, + 113220437, + 486000339, + 359901345, + 232543336, + 452962805, + 775755558, + 494592194, + 403968024, + 299804084, + 652727332, + 712368182, + 401426835, + 22803499, + 59321479, + 828497152, + 487330172, + 851301692, + 749979448, + 570884023, + 240776933, + 680251868, + 789206582, + 928290712, + 524972703, + 984929998, + 399739037, + 105898794, + 782263936, + 705272165, + 744183733, + 263769041, + 73042386, + 305403469, + 182852066, + 898637099, + 403636833, + 577839025, + 382244008, + 700411289, + 427050689, + 299408758, + 57799366, + 540377616, + 314427536, + 335922353, + 678469802, + 416008735, + 238007752, + 803793488, + 369580307, + 233746272, + 62634076, + 907724679, + 149464782, + 682476550, + 275541128, + 530586550, + 632813157, + 400233055, + 733622268, + 40415373, + 648246963, + 526588515, + 63744929, + 392975655, + 471355883, + 482216171, + 270893265, + 259914148, + 763215609, + 280441023, + 354647789, + 303590337, + 573200363, + 514364054, + 195579685, + 122440561, + 273551019, + 829526533, + 452504895, + 122859094, + 835608487, + 421139542, + 69814697, + 658438382, + 394112913, + 944889133, + 78509925, + 992671430, + 691182454, + 695950249, + 759893060, + 405924113, + 234170727, + 773956275, + 162153016, + 287942660, + 73294111, + 566679839, + 894485073, + 289269385, + 289244823, + 320653827, + 433078264, + 919780754, + 867145535, + 996622318, + 707182271, + 718742226, + 893027897, + 236205907, + 434486781, + 814512281, + 224605077, + 955837111, + 875209639, + 190787491, + 372003612, + 52574486, + 942782287, + 969564442, + 254820388, + 916114610, + 679392192, + 64306857, + 765030639, + 417169671, + 530084215, + 343565573, + 233487673, + 780160623, + 507440434, + 197036761, + 171241425, + 863155419, + 350747029, + 296274814, + 476582563, + 243377294, + 83771912, + 84289201, + 242627975, + 434498222, + 180509420, + 88337802, + 185962172, + 617812012, + 689597309, + 163826560, + 879974789, + 418932665, + 788363400, + 649435529, + 313121009, + 441247062, + 804318444, + 359354768, + 16826418, + 173443669, + 690525261, + 762296764, + 701860841, + 524413693, + 506157616, + 198111318, + 343513656, + 867236064, + 427051449, + 272919536, + 770516746, + 956084158, + 84357991, + 362770002, + 543111591, + 6570065, + 759336084, + 83210205, + 464997011, + 419204961, + 655827446, + 822604194, + 424985875, + 500292197, + 464214774, + 668355495, + 191803752, + 26604015, + 130184027, + 989627202, + 811824158, + 715379195, + 314529946, + 467392798, + 719861441, + 781605620, + 866657347, + 911687487, + 204736972, + 442675495, + 688044889, + 39555227, + 885934716, + 891401652, + 538033089, + 74522073, + 458231477, + 553377229, + 863054851, + 857388030, + 571332261, + 747981575, + 758683549, + 519140828, + 154459506, + 194488988, + 301982461, + 604978022, + 868006553, + 724188988, + 164119254, + 195299280, + 626396112, + 670359125, + 716573762, + 817495378, + 723227450, + 294748272, + 539658078, + 432647463, + 850138223, + 281278771, + 467448083, + 276647092, + 829422390, + 774123976, + 107540797, + 450361185, + 654203837, + 921742552, + 837815216, + 645729845, + 567468688, + 327854146, + 991014820, + 278670012, + 705473149, + 82490442, + 307224677, + 326174317, + 340256878, + 388069071, + 334141078, + 182695636, + 549986981, + 199293461, + 40613842, + 901920648, + 383466863, + 988407925, + 830700785, + 746709104, + 760238366, + 93479607, + 788611170, + 782637518, + 294902754, + 176853359, + 681818848, + 292104163, + 390786442, + 217312947, + 727921253, + 222861294, + 580816464, + 264604036, + 467493624, + 76113899, + 424199101, + 560298496, + 477306126, + 605602552, + 762949075, + 449547410, + 504834483, + 829741001, + 41108046, + 997569313, + 732403339, + 844256007, + 699010282, + 603681822, + 156479606, + 743981007, + 758352726, + 205084796, + 975860997, + 475132554, + 994227225, + 571362817, + 321557828, + 156850919, + 418589535, + 295176407, + 156253492, + 530911542, + 814793153, + 416053097, + 974803241, + 600568189, + 891672873, + 540255959, + 594091194, + 54205458, + 702587399, + 574414878, + 294014328, + 198722730, + 627471403, + 156221301, + 382378914, + 847163951, + 17890733, + 792085531, + 643856183, + 793920644, + 910551783, + 105588522, + 208099438, + 595811946, + 940982753, + 5536712, + 497075722, + 520374060, + 666516091, + 792872826, + 262574794, + 142495788, + 259182803, + 713513118, + 918485955, + 894362175, + 641330324, + 642854117, + 212883516, + 337874956, + 913610201, + 519256267, + 617189990, + 979845590, + 63258922, + 803629268, + 903376767, + 741564646, + 109689142, + 928663428, + 26304111, + 464039784, + 410381781, + 458037366, + 153065117, + 229454854, + 573531528, + 22025851, + 751323774, + 172569541, + 420485529, + 662898764, + 97952645, + 682156554, + 964219953, + 164396834, + 196608774, + 550941761, + 939096635, + 5595671, + 945819150, + 601219060, + 120895320, + 220433737, + 582245488, + 373112511, + 930899441, + 796692406, + 388050432, + 468529597, + 581321720, + 970821313, + 782364856, + 504663116, + 121797561, + 738682416, + 692912336, + 100115111, + 952427749, + 971436316, + 492916765, + 32770663, + 732855395, + 686561832, + 157073175, + 589552039, + 845092955, + 715461328, + 612053455, + 470563790, + 94230660, + 609908077, + 900831433, + 481053795, + 681448784, + 276359455, + 47099521, + 528093896, + 727568067, + 396437597, + 877656698, + 140024573, + 896926670, + 88006388, + 666298201, + 151838532, + 2033748, + 973324745, + 110800056, + 556600124, + 645760244, + 267441251, + 422538960, + 537711253, + 957675873, + 349779706, + 798698292, + 584433957, + 156465950, + 738708536, + 550165857, + 873940927, + 118694024, + 973012534, + 256205146, + 427547417, + 887471560, + 341036540, + 9208558, + 288934787, + 333404585, + 98357914, + 118442527, + 727299405, + 846528301, + 630314507, + 98050244, + 760308536, + 967371008, + 317970053, + 836470719, + 394194162, + 662605384, + 243892023, + 503884319, + 134918108, + 203217364, + 809675514, + 66601684, + 97114772, + 670707391, + 851093923, + 445306183, + 157007255, + 137706639, + 51874766, + 9809288, + 836573986, + 336147778, + 909833791, + 522625770, + 838020734, + 467934858, + 377725922, + 745883066, + 131239622, + 757752772, + 922920780, + 193307292, + 517953129, + 801318804, + 226474747, + 269116853, + 736749125, + 441583472, + 712146988, + 685049199, + 78119779, + 164730875, + 36005626, + 305438515, + 526928065, + 945133075, + 546176363, + 943268166, + 265829440, + 679987812, + 967023789, + 292593413, + 609171096, + 502200795, + 665814214, + 877986797, + 589801753, + 333795858, + 223793822, + 235448435, + 775197237, + 915495777, + 723189118, + 161171842, + 284458039, + 756369167, + 244348660, + 122961602, + 77066766, + 431018476, + 751710128, + 93539935, + 449093294, + 993242411, + 257619570, + 418869751, + 254725444, + 825550535, + 951282500, + 222153520, + 627202437, + 875136225, + 484941958, + 606180924, + 541677836, + 539919200, + 144890482, + 543473800, + 872283146, + 672339343, + 741884423, + 532207743, + 205957539, + 101238918, + 206822200, + 206632778, + 37217643, + 593170436, + 930477122, + 822987279, + 296056734, + 883517457, + 894679798, + 217587536, + 418943025, + 316432521, + 197388955, + 910994248, + 35491135, + 817526725, + 616506906, + 282153566, + 282280791, + 149859963, + 920344477, + 169520238, + 392541959, + 459318395, + 165725395, + 489155428, + 824192995, + 594134078, + 621206309, + 524794560, + 458113747, + 816858049, + 693641553, + 764559560, + 9431971, + 955789856, + 235586888, + 409390605, + 593408282, + 888938179, + 199200181, + 786567341, + 16168104, + 518033012, + 654953780, + 391266117, + 73514264, + 253014739, + 869306528, + 10510685, + 698656125, + 65052317, + 145576308, + 196278790, + 682487181, + 771434702, + 189870854, + 407975577, + 560486089, + 413436509, + 450397455, + 460244393, + 337998650, + 332755560, + 168200870, + 347410448, + 575146860, + 346155195, + 498568497, + 620525262, + 654249163, + 981733908, + 715020440, + 161822169, + 266879256, + 301822116, + 963810867, + 201446273, + 746620437, + 608509347, + 112438487, + 820848191, + 342520165, + 237476236, + 54951198, + 821673979, + 91876169, + 52474540, + 156321410, + 302102009, + 401354676, + 865493891, + 200927574, + 114156900, + 885637563, + 534388200, + 929428249, + 136876894, + 138575823, + 878638396, + 662501500, + 618481625, + 409405863, + 405671081, + 999189126, + 936786431, + 870497169, + 107619032, + 816050077, + 940488768, + 658333857, + 965928108, + 919875319, + 649693911, + 557885370, + 505364267, + 337609574, + 24054125, + 427882916, + 235671981, + 753538156, + 96897412, + 403111963, + 62648200, + 307827137, + 260416097, + 359700360, + 353915650, + 403412080, + 903996490, + 190394454, + 117016851, + 416552970, + 555384808, + 981423960, + 179648810, + 900219112, + 855489246, + 438029458, + 304423879, + 819282344, + 814153105, + 806928920, + 503320427, + 962934195, + 714169196, + 971770969, + 919932591, + 901019470, + 427236479, + 725070563, + 886136187, + 100873028, + 938076539, + 378221931, + 965294338, + 676286922, + 179460046, + 809548938, + 84116570, + 571957521, + 505328100, + 575991326, + 938761141, + 739617991, + 32116666, + 339449102, + 755562453, + 536477136, + 428955686, + 285029089, + 608820846, + 601632137, + 585123334, + 734265820, + 275686238, + 599819255, + 177423985, + 570998061, + 843022682, + 46197596, + 751938049, + 558791334, + 401257299, + 732591099, + 620431785, + 422106706, + 940569562, + 907639482, + 31918973, + 684976168, + 919769499, + 906832728, + 629706579, + 5997595, + 558421320, + 354740192, + 846629863, + 279217733, + 904927141, + 721592106, + 480642131, + 864266943, + 10363155, + 92889442, + 888533585, + 132239001, + 359963054, + 936595993, + 805479966, + 558933530, + 171439484, + 328379250, + 216351890, + 262227900, + 669060313, + 760898455, + 216656030, + 199691858, + 807478091, + 829257860, + 576112661, + 581201850, + 847703443, + 542764930, + 163633088, + 886922893, + 521650120, + 559782044, + 896631854, + 653997783, + 247697422, + 441578618, + 698773048, + 655025152, + 89209255, + 762715264, + 792242005, + 461633275, + 527815311, + 903630576, + 647806830, + 580480762, + 867917277, + 248389159, + 621043481, + 10280582, + 15205142, + 171378898, + 579730760, + 808231349, + 821974455, + 285993711, + 829643233, + 550141721, + 469875199, + 282498818, + 678635126, + 409538803, + 608697256, + 761061975, + 275920, + 151529951, + 835714924, + 637341464, + 941908749, + 932741412, + 874815790, + 291156686, + 823515369, + 662740572, + 642989393, + 234643365, + 771932630, + 209507701, + 95551246, + 392531924, + 378897692, + 963870317, + 771717701, + 560572965, + 539365844, + 57495080, + 424541204, + 1387998, + 757659636, + 161022548, + 135539696, + 603921405, + 321438152, + 518033910, + 407329945, + 860449205, + 548810091, + 517350564, + 348160599, + 939355261, + 568696443, + 797090710, + 86182254, + 214652160, + 155388732, + 530768237, + 780186328, + 988131572, + 240600933, + 213993042, + 649001169, + 74006774, + 163822237, + 538446340, + 172837764, + 996299010, + 219609558, + 513383176, + 207339863, + 657566528, + 821005453, + 798157684, + 492787788, + 35910368, + 673828729, + 152397120, + 809715620, + 924249074, + 895451593, + 497922846, + 601730919, + 523493322, + 981316619, + 688187212, + 297344226, + 313504134, + 642505665, + 757240812, + 246782730, + 961185890, + 377787235, + 972116499, + 323673564, + 577160537, + 691007405, + 865987875, + 126391307, + 43578183, + 152613914, + 29904767, + 196543498, + 985184084, + 79718155, + 387601429, + 659136098, + 607955437, + 623590482, + 871824502, + 433540188, + 289370567, + 758267797, + 534176456, + 469460523, + 581379132, + 218856341, + 6014557, + 715612596, + 166356319, + 207590615, + 51010290, + 876276788, + 360195180, + 493755702, + 768620145, + 526075515, + 988212109, + 142726848, + 497074768, + 645637277, + 973752686, + 812506307, + 151225277, + 23675143, + 633391966, + 517068035, + 46441398, + 485634209, + 441194298, + 18800507, + 861260214, + 828895960, + 333128812, + 994424408, + 473955171, + 820017131, + 432481509, + 901739721, + 689324600, + 842986424, + 802190135, + 41447207, + 59573252, + 478217273, + 846052567, + 761976075, + 218942333, + 511105652, + 142407174, + 774646236, + 637614523, + 567480767, + 497466427, + 750729873, + 540603479, + 530437559, + 584988874, + 660103741, + 54402571, + 666039128, + 816876089, + 776739440, + 317934038, + 740793766, + 789212107, + 214733437, + 687019066, + 558878137, + 855190716, + 939200870, + 684194903, + 890025384, + 116443472, + 413137034, + 851155627, + 470948631, + 573641262, + 678761998, + 241440140, + 656359724, + 294333156, + 830424185, + 853120203, + 298105605, + 939921781, + 265531098, + 23261188, + 589689140, + 696819440, + 805351308, + 810115053, + 571556129, + 549052546, + 131385622, + 449344866, + 142678118, + 54874669, + 640037201, + 215237806, + 687638983, + 603448636, + 849615256, + 686651923, + 362917935, + 813083314, + 696494932, + 658447348, + 602576869, + 117130957, + 403640422, + 238515790, + 388807260, + 148608790, + 520525435, + 593176871, + 75585276, + 563471824, + 935397756, + 900252782, + 385952433, + 273199043, + 576278613, + 834030346, + 761976397, + 364271165, + 233910377, + 649887106, + 242802337, + 510365782, + 567292527, + 974802654, + 645992901, + 918698423, + 554554102, + 185921804, + 875850432, + 321758812, + 845410025, + 173081883, + 290270340, + 955087799, + 915214995, + 883653151, + 541719090, + 465931216, + 677385356, + 230394276, + 691454722, + 541976669, + 498909634, + 969729317, + 439973921, + 908645556, + 502113407, + 783538314, + 837494078, + 309298839, + 682397433, + 441549997, + 657530622, + 839152811, + 220499618, + 139132741, + 303832054, + 483475412, + 421549441, + 541456843, + 32556178, + 384615327, + 878831984, + 487451696, + 475697578, + 783738654, + 29882584, + 849888506, + 503913852, + 798176312, + 460050124, + 642040796, + 741899064, + 368924735, + 462641121, + 11618581, + 924308383, + 786162408, + 916427386, + 450615234, + 263080252, + 732241820, + 817550435, + 540271628, + 855309529, + 368197354, + 554525522, + 658529597, + 42743878, + 880381714, + 709207460, + 820503126, + 952737217, + 994504528, + 631526188, + 924178415, + 603978253, + 907182509, + 742516580, + 9029989, + 273210494, + 57439265, + 805701560, + 460993834, + 351672013, + 183726833, + 112797993, + 147801124, + 762554217, + 683347526, + 884048629, + 902257288, + 973159532, + 725663790, + 251232490, + 579136773, + 516612720, + 661113235, + 244220398, + 200272805, + 975925524, + 495914531, + 340209729, + 290956268, + 320347736, + 427677733, + 371315730, + 706073974, + 545021887, + 196056365, + 474617462, + 381639767, + 96958229, + 805088621, + 807198576, + 300812239, + 712538117, + 826406837, + 895589803, + 797330133, + 757972312, + 524591877, + 683951452, + 351620379, + 24965350, + 962598, + 870415403, + 683863210, + 522549079, + 647397798, + 67007187, + 41352218, + 186646074, + 748563677, + 206726951, + 523757764, + 111074272, + 65517548, + 100158056, + 643015822, + 748193878, + 633078752, + 131081096, + 464316264, + 191117430, + 136804573, + 130986316, + 971229855, + 638702394, + 43887481, + 427718754, + 394398226, + 955302646, + 387252441, + 526448692, + 391872952, + 732410214, + 316337474, + 760952251, + 645405845, + 633272948, + 792546167, + 264213722, + 756363182, + 724187245, + 885830931, + 170113188, + 53479349, + 588648703, + 805129454, + 153508046, + 828025794, + 605384453, + 654857809, + 49417258, + 236308173, + 162955022, + 304937522, + 797076919, + 102322468, + 443616652, + 380946515, + 913833011, + 969259147, + 16708547, + 290635451, + 489509990, + 398703227, + 933914002, + 841431430, + 151748760, + 880897105, + 405406233, + 556285632, + 12267923, + 970664465, + 416344822, + 898070938, + 353715705, + 945894982, + 300153580, + 694507988, + 10453644, + 315942391, + 437787218, + 742395886, + 479478984, + 527607013, + 756909401, + 198530290, + 866816354, + 582383588, + 481742002, + 684420702, + 561734360, + 119140816, + 77017878, + 499943245, + 953742300, + 351354811, + 416038421, + 616083789, + 435977331, + 504262974, + 565992779, + 885876351, + 919226024, + 648769794, + 71299482, + 727912800, + 689154533, + 398971303, + 649659910, + 264870556, + 938525313, + 195028568, + 317334537, + 129113273, + 291781852, + 982764086, + 260387291, + 605784385, + 786185674, + 389708391, + 32672301, + 656037190, + 632554104, + 543238401, + 293213932, + 439325180, + 646925131, + 556078501, + 5561402, + 128555892, + 314305561, + 723907023, + 425300405, + 974612848, + 583643465, + 521145312, + 806009129, + 749797261, + 686679576, + 234855367, + 982125126, + 975307757, + 611932369, + 300997373, + 110764665, + 728474870, + 52336390, + 444665417, + 709248549, + 446953566, + 786778156, + 970383052, + 186462569, + 558112723, + 519416166, + 166466801, + 885155827, + 932109855, + 51487355, + 888887016, + 418734039, + 169651166, + 858593753, + 111622765, + 58959651, + 931413005, + 437758200, + 629419307, + 519756640, + 28621617, + 589407215, + 599281480, + 941776902, + 680072433, + 562932108, + 314507313, + 816412373, + 220953021, + 439274884, + 921341336, + 300685323, + 733382228, + 909225422, + 396303245, + 45839793, + 632057455, + 961034942, + 156697552, + 719679307, + 510940913, + 56766032, + 934400480, + 130648860, + 106124743, + 505831032, + 451729348, + 59126825, + 545594718, + 939934495, + 586970702, + 214153924, + 20804755, + 440685261, + 17789113, + 21131656, + 556073805, + 126662665, + 459475290, + 742884887, + 378653964, + 610907683, + 405210829, + 40502148, + 597987047, + 442510065, + 815441256, + 492634522, + 506692099, + 775029365, + 352272950, + 296706824, + 92038611, + 798222032, + 133573095, + 454851374, + 385886384, + 580962629, + 701013246, + 179767459, + 737054025, + 146695011, + 951491595, + 351042545, + 659560312, + 433197950, + 18767192, + 653919448, + 327768093, + 556803382, + 851126809, + 897678750, + 908969532, + 113499832, + 626023122, + 381399481, + 501711159, + 298748806, + 138231317, + 817172165, + 268910549, + 337474783, + 296624989, + 812730139, + 516760569, + 290601586, + 543565835, + 161895936, + 908705814, + 227639620, + 713047521, + 750203765, + 787335531, + 157002566, + 6417999, + 864138854, + 361351847, + 299946194, + 911581860, + 203452657, + 30861727, + 628305270, + 292723356, + 857300755, + 39990453, + 760661953, + 330547842, + 887412036, + 259801924, + 42621544, + 491737166, + 437507721, + 507694245, + 850492602, + 933645722, + 337472147, + 698301554, + 727056641, + 902798440, + 386608475, + 931874766, + 318914320, + 760069997, + 918031191, + 966272422, + 556513246, + 360225478, + 857683102, + 788864254, + 575263723, + 741096649, + 736897155, + 659118931, + 903898527, + 787322936, + 894071064, + 647174057, + 463869941, + 298373311, + 400670612, + 637696221, + 964245186, + 566837456, + 27088404, + 537852709, + 188322921, + 862233868, + 195870616, + 411627685, + 241122315, + 847372820, + 623928678, + 632129777, + 133254032, + 987906617, + 958080238, + 745293008, + 673136545, + 284682397, + 400816552, + 510879933, + 584465553, + 740802605, + 412547323, + 226269308, + 823725662, + 838936354, + 30537476, + 521849380, + 266364177, + 12645448, + 344034892, + 545687669, + 689719921, + 75123494, + 307792318, + 308853401, + 524695167, + 565988455, + 937061022, + 504034063, + 410644571, + 667429533, + 319315809, + 996162584, + 230463138, + 464376606, + 692963156, + 44771726, + 845711275, + 725573233, + 40181327, + 78763771, + 274306497, + 86547752, + 52399331, + 345558444, + 783826968, + 210412844, + 568202428, + 158843826, + 608005318, + 997663917, + 268468142, + 93842257, + 441069692, + 772380500, + 273343456, + 115714082, + 378615492, + 158841606, + 334636018, + 124736971, + 836744154, + 441395996, + 268162148, + 285477457, + 225648839, + 505520480, + 714189279, + 467771909, + 987156303, + 984940270, + 465803572, + 217718522, + 590166370, + 236940417, + 574615618, + 341130858, + 905979747, + 905699524, + 304792846, + 627432587, + 180590247, + 451837849, + 54025721, + 546452878, + 134763626, + 127133785, + 816292396, + 392450706, + 601823961, + 669869849, + 912759319, + 297595465, + 260998469, + 992091816, + 809283320, + 957476781, + 424430589, + 225339918, + 522894387, + 360698913, + 961802806, + 514868961, + 727904424, + 689750967, + 82444652, + 156602344, + 245182824, + 279532925, + 191484541, + 21657008, + 541236305, + 345173802, + 532158773, + 484792280, + 735202865, + 916636267, + 916888952, + 570403162, + 836299017, + 347938925, + 947077612, + 971054767, + 396527853, + 596142044, + 191078159, + 601925918, + 738903631, + 195984375, + 966252007, + 205656381, + 801230, + 641691806, + 723534631, + 357542719, + 745365190, + 98257773, + 34336460, + 997925459, + 778202911, + 593251680, + 763553724, + 279037279, + 245900534, + 308631579, + 911711768, + 341547786, + 676510334, + 385789837, + 918896711, + 177833062, + 273576076, + 878904284, + 659137, + 262247959, + 527620050, + 469609053, + 515225568, + 419394002, + 700231218, + 307599147, + 93274196, + 287039819, + 628863771, + 265297540, + 953684183, + 572513505, + 810487710, + 332868508, + 818436744, + 738858700, + 408624833, + 509891763, + 415006155, + 79222974, + 299881167, + 546307136, + 678885689, + 883247179, + 172047658, + 794565242, + 279755761, + 579397063, + 329339282, + 609038628, + 567637238, + 726457460, + 826262450, + 586466331, + 574326336, + 485575947, + 78586381, + 762731324, + 866201786, + 911092087, + 365654262, + 915364905, + 879507056, + 974697768, + 435200699, + 292066445, + 430776970, + 442367424, + 23886550, + 192206354, + 463268041, + 622452650, + 719562152, + 693738179, + 557824113, + 964036575, + 825791753, + 886542257, + 53229884, + 988149998, + 361891653, + 646343269, + 100664835, + 81461975, + 447083539, + 288419881, + 705696647, + 79217207, + 542609316, + 345563502, + 664120464, + 3883985, + 439104768, + 108706417, + 481011208, + 823632994, + 643666644, + 649122244, + 132639301, + 746735840, + 420044476, + 705186385, + 89440790, + 550629950, + 860139332, + 389790568, + 371498534, + 366315200, + 451746564, + 753069279, + 97506919, + 674656864, + 48226130, + 850780428, + 643955640, + 293265066, + 180724502, + 902569099, + 706253897, + 455037993, + 664299863, + 840518315, + 716091614, + 201841450, + 629802917, + 198178038, + 81322293, + 33865085, + 747340193, + 285637992, + 117139759, + 503814148, + 554278823, + 658793038, + 600544411, + 993681669, + 150418054, + 410427823, + 80786427, + 766186401, + 62507504, + 341063294, + 249905300, + 201357604, + 546432728, + 386639577, + 586456774, + 916411440, + 996134562, + 703870039, + 407293409, + 399957252, + 859703390, + 123306609, + 865204276, + 903901318, + 207589780, + 519569110, + 215283195, + 768862021, + 707076805, + 169141721, + 214623806, + 395960458, + 300992670, + 155181373, + 826279857, + 507113183, + 771992784, + 189535929, + 9916586, + 644240470, + 149284505, + 118143064, + 585174853, + 105715351, + 912023848, + 301105600, + 352183707, + 378289793, + 445575039, + 500762058, + 101266553, + 846822969, + 655878955, + 773778827, + 887026832, + 565957794, + 386225898, + 2331083, + 701859101, + 35416175, + 173186280, + 410749885, + 801648957, + 597437582, + 265732827, + 525336491, + 316989267, + 895329874, + 672564930, + 716821399, + 634931361, + 625596251, + 738557839, + 778931380, + 494533644, + 804108209, + 366332334, + 898023129, + 493158748, + 412397924, + 642124934, + 840278414, + 253537524, + 858348810, + 835644389, + 54986449, + 94246971, + 152215539, + 7663164, + 540537794, + 542203928, + 956884846, + 681179506, + 415704609, + 940400249, + 54842343, + 623978651, + 563514227, + 13612854, + 731019300, + 566469799, + 70834831, + 146360942, + 694108326, + 515503915, + 44376329, + 352734173, + 999738545, + 629625322, + 923629931, + 411588392, + 11917090, + 10752218, + 183412159, + 332040002, + 610802199, + 186111417, + 990191318, + 580568812, + 182974997, + 941114547, + 415251128, + 155066410, + 958675559, + 374381730, + 578155119, + 289445470, + 774667044, + 971907319, + 436340818, + 947079211, + 536199987, + 685193976, + 874528104, + 305872803, + 682594289, + 154656831, + 265054863, + 103804138, + 469451427, + 143457579, + 474774706, + 540328283, + 366715792, + 719638880, + 816688517, + 588322811, + 299052291, + 203321282, + 376004399, + 803899840, + 854592047, + 940919246, + 17572884, + 340415078, + 292861903, + 905200792, + 513470363, + 698475580, + 48540262, + 258510771, + 658133119, + 530961780, + 948774796, + 827674122, + 404162277, + 599899408, + 949396266, + 351910733, + 762725197, + 323872672, + 223625686, + 526998994, + 562132608, + 799229741, + 204434863, + 524485484, + 817868374, + 465647025, + 6247875, + 255761765, + 300850179, + 374914190, + 382009576, + 428212841, + 650180164, + 269480173, + 304107449, + 886090329, + 245491912, + 167885754, + 575134235, + 912916654, + 811929733, + 951185954, + 945641399, + 648631970, + 320767003, + 558761892, + 15317359, + 404167296, + 389063028, + 522516940, + 704562206, + 885210028, + 57619261, + 283859795, + 285301829, + 235529066, + 998270992, + 114142564, + 188133814, + 859621854, + 138128007, + 986850946, + 748936945, + 202000371, + 476469096, + 181899344, + 176779129, + 385255251, + 47970810, + 164643418, + 617506619, + 115002505, + 439962620, + 938600906, + 866934835, + 156319153, + 234528332, + 526203453, + 45291204, + 463922277, + 389396289, + 824332251, + 329791786, + 369675826, + 360790897, + 35575497, + 219357774, + 312988193, + 392803407, + 417930237, + 890064119, + 393382880, + 651885356, + 715113970, + 538965312, + 631775057, + 59428495, + 545411269, + 880957865, + 891209720, + 810650441, + 925665767, + 540594601, + 326975687, + 619963617, + 503339974, + 38357883, + 24079497, + 426246154, + 183378019, + 342883939, + 898000358, + 131194239, + 249284990, + 893893112, + 404510820, + 993328312, + 234102472, + 67750954, + 841523619, + 104884926, + 218908630, + 120209741, + 760630199, + 226817304, + 13645098, + 134882215, + 772551551, + 278969047, + 472286166, + 250670733, + 986660304, + 753546876, + 190733201, + 129394933, + 777423369, + 645813843, + 580812170, + 410426737, + 948972591, + 976434012, + 124370506, + 456645911, + 850321238, + 979636435, + 695266885, + 202533350, + 42884773, + 308868456, + 347524352, + 653738223, + 220974887, + 897532349, + 754795629, + 424761866, + 956469914, + 561139949, + 316694867, + 964973308, + 896418436, + 720105265, + 371982458, + 924839957, + 527546258, + 275222901, + 494648241, + 302474041, + 137454014, + 378735962, + 927803194, + 437625025, + 785726726, + 461507491, + 723275773, + 43068606, + 190267177, + 555376908, + 637621740, + 965727382, + 199887494, + 236955737, + 422993932, + 766812134, + 159378588, + 375944953, + 407159445, + 22991471, + 265142038, + 453921242, + 245686098, + 41722911, + 882236545, + 824552627, + 387438312, + 679034344, + 697476589, + 105101381, + 578114181, + 949267357, + 201816077, + 944578484, + 533484081, + 465201769, + 896690611, + 981105102, + 971353440, + 609743020, + 931656021, + 289710352, + 905818837, + 449674955, + 355035676, + 421871456, + 61224445, + 303315013, + 143615232, + 672924056, + 235435142, + 398149415, + 53245814, + 422246160, + 713857394, + 870241258, + 331183866, + 754109162, + 109105974, + 148637582, + 791197291, + 542076813, + 460410898, + 294093918, + 208172214, + 717318022, + 780723940, + 493027452, + 176761528, + 848954727, + 597029086, + 253607102, + 888168655, + 300230384, + 357267752, + 779210006, + 843552203, + 283071296, + 192719520, + 514757860, + 65289483, + 836088077, + 680455139, + 565494088, + 107780077, + 817880538, + 708918465, + 990294312, + 998873193, + 404366797, + 920235729, + 378887906, + 323400115, + 345644993, + 639797650, + 741051613, + 952385960, + 326073757, + 105031001, + 500836356, + 82200536, + 650990931, + 804921412, + 231794670, + 249325796, + 264543292, + 14388989, + 278354703, + 815307437, + 869223550, + 432427346, + 325991754, + 333466863, + 37228004, + 816843977, + 12945244, + 494577615, + 143648789, + 763966138, + 19627283, + 728899617, + 557780186, + 54304618, + 452551707, + 231223757, + 967672154, + 821392482, + 97920516, + 56090157, + 717910228, + 222022724, + 211281631, + 552477333, + 207377171, + 937913519, + 251763729, + 52366399, + 673908293, + 320487489, + 216727732, + 396418046, + 426267969, + 432640184, + 2653271, + 15622630, + 317012899, + 573292140, + 640392901, + 340158485, + 646232214, + 56169021, + 191771318, + 623948080, + 123896681, + 694340870, + 527328212, + 116436312, + 338670524, + 680085690, + 809505663, + 282525935, + 166375412, + 774462809, + 305690822, + 926420608, + 441520060, + 229045194, + 974545382, + 24754030, + 5224758, + 129569187, + 653434184, + 580338969, + 235218380, + 228109433, + 549146922, + 815909941, + 39072646, + 212108939, + 305484362, + 400498410, + 893478847, + 77331557, + 917031080, + 17861031, + 437650913, + 889283705, + 242212157, + 126865088, + 394464363, + 203959967, + 996593148, + 834751994, + 961652965, + 690185030, + 176114979, + 359647849, + 372879915, + 499899610, + 394971580, + 271247343, + 589941048, + 949344656, + 388169748, + 818940472, + 667545311, + 668387866, + 362042505, + 653052205, + 571731369, + 959216509, + 703264043, + 967115605, + 801752219, + 661219914, + 788728790, + 889471410, + 805579621, + 711600635, + 112556637, + 820730050, + 6267835, + 954441351, + 45071213, + 82600005, + 905145879, + 425438110, + 711137835, + 82256155, + 863965498, + 218752920, + 912555617, + 492663173, + 871990329, + 713454536, + 88988358, + 221811623, + 99539997, + 759327150, + 841678612, + 452055332, + 821650753, + 535433354, + 15609773, + 127046468, + 795323792, + 130903729, + 615621437, + 927510082, + 239149592, + 877156066, + 908856644, + 877647273, + 677671370, + 815568130, + 251466715, + 800103858, + 46795987, + 153700688, + 973586120, + 715210728, + 597548553, + 412893283, + 516218263, + 746419285, + 456012880, + 22656739, + 590596557, + 798004071, + 414492704, + 826578212, + 186170190, + 651664295, + 628063901, + 413073374, + 231340400, + 644416003, + 265576400, + 219588600, + 876210301, + 617295161, + 768704927, + 747429840, + 730354735, + 698173479, + 906935605, + 825792321, + 331942397, + 564838587, + 806409661, + 859766013, + 672910281, + 682938632, + 602788765, + 503452415, + 789778494, + 810352414, + 978335243, + 888112450, + 335478283, + 400354949, + 645815400, + 164952373, + 2571968, + 350598854, + 59326517, + 382974582, + 396895910, + 801000606, + 155516904, + 993368470, + 239682451, + 599795583, + 707112273, + 108139698, + 492102311, + 71724967, + 364245053, + 920447503, + 464759298, + 742529312, + 247982024, + 662700348, + 977117305, + 400024210, + 240620387, + 233315284, + 882613941, + 644081882, + 264344307, + 716359201, + 103765765, + 854966207, + 549994102, + 542455236, + 315566580, + 187125059, + 985853595, + 166207850, + 231428570, + 635652625, + 616229356, + 385631727, + 256990283, + 942380173, + 122119949, + 98623276, + 320343404, + 156301386, + 317567265, + 398580214, + 963735281, + 850082950, + 332282160, + 804217200, + 569292813, + 603922127, + 347295105, + 999538708, + 945024747, + 517852971, + 157597507, + 688598862, + 315327193, + 699111545, + 574239651, + 670975359, + 29988105, + 854618360, + 787043605, + 171045982, + 929524721, + 462479791, + 672556829, + 129251745, + 90524612, + 345799674, + 239976186, + 946962485, + 161690469, + 357337667, + 881707641, + 796067517, + 260985324, + 361024691, + 950541493, + 327787180, + 550501995, + 238705492, + 244822756, + 170310991, + 859732864, + 847826085, + 715343470, + 650399173, + 904574277, + 861392497, + 882643173, + 988214029, + 783748386, + 763013069, + 605363053, + 18967937, + 384405007, + 574882188, + 8860347, + 80499174, + 345223928, + 733229358, + 904778779, + 120532910, + 952481426, + 642332744, + 966062019, + 101142106, + 108559951, + 778813728, + 57941180, + 798431188, + 474110326, + 77622833, + 129451783, + 563886929, + 808694598, + 802643396, + 806476964, + 408572770, + 39717027, + 102484704, + 995337279, + 799901792, + 3092692, + 46545971, + 766147289, + 45417025, + 277214187, + 939866332, + 374288109, + 585739201, + 232432658, + 885463702, + 356051247, + 816457458, + 233664219, + 56689412, + 856920195, + 205447800, + 783991597, + 969668490, + 261979113, + 599510116, + 101943354, + 517711310, + 973984718, + 789923479, + 454799856, + 783786584, + 62397238, + 941697530, + 648441467, + 192004448, + 301429793, + 407386075, + 181495950, + 264286795, + 686963820, + 776017512, + 476391572, + 916554106, + 188686516, + 202385142, + 821376867, + 920477329, + 427599182, + 815365673, + 268371039, + 323371494, + 720212651, + 314083316, + 996896832, + 52626469, + 721845785, + 693639981, + 613797579, + 367528838, + 741866779, + 780134562, + 226559816, + 633635811, + 339699753, + 908718352, + 160438962, + 150608957, + 215533449, + 557260448, + 664743480, + 48018347, + 814252170, + 957683678, + 574116074, + 158671302, + 170865757, + 633424640, + 512779982, + 509267255, + 364359804, + 989071842, + 800460097, + 851606352, + 112827609, + 329445167, + 157827272, + 359478064, + 725648047, + 305209188, + 396547342, + 970847299, + 996871439, + 76638207, + 500387434, + 33923947, + 287536042, + 830556757, + 823159140, + 996968606, + 558866830, + 64311354, + 707555301, + 276565626, + 434796575, + 769449179, + 641811708, + 204163050, + 119302994, + 923012622, + 512515490, + 866948868, + 687291924, + 496262418, + 975115316, + 680502282, + 475707894, + 784478850, + 412999801, + 250774295, + 850709128, + 789363108, + 816112923, + 658711368, + 444594349, + 588539094, + 860162463, + 260573369, + 91711942, + 604200697, + 594721932, + 738875563, + 100947810, + 395270511, + 78631999, + 75451850, + 326362590, + 334525755, + 764922430, + 761549662, + 925457720, + 247208724, + 507970946, + 365156187, + 265959220, + 705180584, + 27795404, + 181582548, + 17863210, + 805091580, + 138504137, + 527123307, + 733404215, + 331430165, + 472485462, + 474389200, + 10423622, + 817378233, + 476341743, + 401877017, + 73133871, + 682221893, + 62842211, + 527932421, + 79071841, + 248442225, + 934661340, + 761555222, + 394608623, + 630807701, + 641475931, + 332836804, + 444445179, + 112287607, + 244468199, + 659380189, + 467249972, + 708287552, + 793925919, + 948948521, + 743088537, + 747277728, + 93305465, + 38043285, + 640098260, + 129103908, + 55920126, + 26389492, + 114563377, + 476824684, + 741384233, + 662101199, + 239612311, + 214222064, + 135253043, + 525170312, + 123862203, + 814575804, + 582435000, + 954101234, + 52701603, + 486049485, + 11001233, + 334563191, + 872446331, + 180290544, + 103391935, + 47748363, + 761506310, + 728338232, + 165364139, + 292675948, + 670813918, + 221265899, + 961511229, + 576788276, + 590121062, + 339024118, + 61541115, + 909007252, + 827588583, + 681543023, + 68120380, + 925169984, + 859583599, + 697561211, + 915879384, + 196153172, + 671408779, + 155677789, + 498069886, + 367237965, + 239158505, + 692983284, + 255116178, + 180310209, + 528558814, + 464310167, + 903926430, + 670102579, + 864080485, + 34873848, + 913485056, + 134225604, + 96844918, + 499895023, + 639957410, + 990277178, + 998384442, + 953368080, + 849432453, + 783512480, + 532323231, + 940408639, + 68213667, + 578688444, + 694816398, + 144828793, + 795192202, + 445140350, + 701620092, + 595620297, + 541733034, + 81504989, + 458608696, + 766796389, + 483215342, + 126851327, + 120646329, + 715464952, + 441402650, + 65528015, + 147509525, + 699937747, + 853204687, + 437275977, + 280117981, + 160327337, + 529470387, + 25329278, + 75439052, + 288183883, + 302776284, + 287285621, + 103419506, + 349527721, + 774655525, + 756453403, + 307720117, + 9888220, + 223962457, + 822022684, + 972040796, + 788025077, + 498497933, + 86141063, + 212829098, + 114978072, + 746631830, + 670947230, + 743091193, + 464393998, + 666483577, + 376269674, + 9310072, + 665288795, + 387705442, + 876096417, + 311315291, + 822389481, + 918973584, + 622972535, + 160382364, + 802388142, + 694974229, + 461681494, + 792409633, + 545547505, + 271288272, + 772465586, + 879279785, + 583607680, + 945504156, + 430245811, + 128460867, + 640027682, + 727619104, + 938958103, + 470273780, + 232700631, + 139269472, + 34768139, + 44757395, + 770560175, + 657032322, + 278088081, + 799399765, + 17935408, + 967352203, + 481644816, + 909586473, + 648534525, + 700914668, + 269107792, + 101417720, + 484126550, + 124624771, + 401205571, + 501103821, + 139012402, + 352480046, + 375294413, + 77495817, + 874225305, + 238668546, + 514629284, + 842691237, + 864058537, + 831979388, + 745611032, + 778222789, + 991292334, + 773838258, + 622541173, + 67562755, + 929105207, + 354751176, + 644521248, + 706940094, + 914249641, + 506762456, + 981360284, + 868822515, + 65207406, + 443820808, + 343234524, + 720482144, + 159224811, + 215845299, + 471128011, + 651344093, + 158501917, + 406199307, + 703452409, + 282061084, + 175914983, + 561326571, + 343890361, + 656677094, + 516764153, + 414569026, + 352329876, + 715584331, + 517742834, + 464312039, + 38607916, + 243827233, + 639465228, + 984083317, + 759043595, + 5946183, + 926814233, + 725465495, + 637855659, + 903287880, + 686097736, + 796375449, + 819815108, + 604996598, + 338188859, + 621069803, + 586911049, + 478967110, + 803668524, + 767377777, + 332992652, + 390361677, + 101568530, + 113998580, + 424136307, + 821662924, + 463398704, + 717063511, + 925018824, + 434148133, + 525590222, + 424933256, + 120972523, + 666072751, + 459475572, + 522246252, + 367641555, + 791528949, + 898640422, + 768184380, + 436987269, + 451640885, + 991405264, + 489547808, + 696298834, + 586537371, + 884409029, + 106017153, + 683460575, + 34878000, + 232326793, + 876280554, + 744861020, + 3985791, + 258290133, + 556759814, + 764985232, + 58506583, + 44372724, + 618718367, + 598223440, + 685130146, + 289526212, + 987049197, + 616107649, + 29690263, + 980815206, + 649409812, + 796515012, + 124602251, + 491919341, + 793399028, + 438929508, + 42945574, + 121671526, + 624872110, + 132477325, + 775135746, + 55092805, + 504671452, + 716066845, + 439281340, + 742485317, + 897090697, + 218382695, + 562493582, + 995009326, + 480414093, + 644788518, + 174912391, + 520439214, + 759439499, + 143624332, + 774605795, + 759242801, + 100794661, + 390240645, + 393755211, + 453545887, + 938964280, + 509277755, + 58210391, + 818115084, + 680321081, + 653901968, + 143580477, + 423851115, + 235539669, + 27850330, + 679790133, + 794043704, + 83640223, + 249363479, + 278723681, + 386093447, + 742793870, + 437968782, + 770533571, + 970896170, + 255010090, + 197469818, + 255262296, + 563116183, + 592601057, + 440110211, + 845100221, + 414546249, + 301357122, + 361489770, + 330736944, + 907485447, + 461643609, + 773648663, + 240390158, + 320343361, + 505216086, + 623472075, + 213903487, + 135576473, + 40064991, + 411788655, + 1840920, + 141988426, + 239184305, + 32171950, + 877582261, + 693569957, + 574812381, + 747702512, + 162004029, + 513801210, + 281481536, + 984163443, + 376646581, + 716292304, + 830209373, + 560190838, + 60201774, + 293996917, + 939046840, + 595429467, + 609323560, + 27889427, + 687591204, + 327332319, + 213290287, + 968566753, + 766037849, + 738180048, + 346781069, + 714937594, + 537035054, + 49190817, + 60776400, + 320484106, + 671452356, + 377600580, + 712151507, + 905379591, + 492788347, + 31573529, + 119034970, + 47416382, + 499986805, + 997092057, + 883218518, + 986707384, + 20544527, + 297214768, + 377905509, + 605798079, + 330328375, + 587761498, + 855147112, + 802527385, + 866188078, + 603342272, + 261590046, + 451189930, + 920718896, + 389941613, + 47978595, + 930365485, + 278274609, + 727367952, + 362972705, + 434532496, + 975139096, + 819440494, + 851939091, + 520902423, + 740993011, + 268447267, + 16572673, + 92568091, + 523657350, + 712628477, + 343327702, + 63763484, + 526644663, + 609642160, + 623247421, + 986505224, + 44859868, + 617748735, + 543155181, + 290540618, + 158569856, + 138097237, + 983851632, + 323254860, + 800180817, + 265306314, + 654193962, + 777340464, + 525953159, + 391292030, + 132562161, + 158724389, + 766151825, + 912593671, + 596524675, + 220560875, + 457076674, + 136839981, + 587610652, + 744121821, + 610841916, + 698847196, + 688641873, + 908167489, + 232087827, + 760766069, + 692780101, + 796199665, + 389839498, + 122994260, + 64583394, + 374287718, + 474570840, + 604062880, + 915040253, + 101737723, + 507387950, + 360394224, + 698270905, + 543050867, + 819159047, + 203147654, + 493870317, + 748913588, + 599930227, + 372712669, + 522948573, + 720506937, + 730338447, + 251188613, + 571088941, + 336083838, + 997563751, + 350012953, + 102967365, + 607677745, + 772418688, + 599355590, + 747049199, + 147254690, + 23398461, + 708085425, + 39726296, + 666981245, + 916182700, + 554978629, + 589921092, + 623043532, + 701823916, + 828669212, + 298697593, + 430564600, + 804270238, + 180549926, + 339796670, + 317333108, + 727816220, + 658214179, + 704460522, + 873274802, + 573195641, + 279685352, + 228609784, + 284540614, + 24794261, + 220871590, + 318165848, + 43923040, + 131765909, + 790692182, + 119420782, + 256259197, + 176291728, + 936750992, + 275777831, + 586153463, + 177356492, + 618480833, + 496064602, + 309159897, + 712958258, + 220447198, + 815906771, + 276485881, + 201112005, + 379984956, + 964653969, + 436953670, + 573736887, + 956698655, + 515241013, + 23598280, + 974957640, + 396585973, + 245951847, + 162885129, + 119813119, + 871832009, + 848877978, + 770089916, + 412222790, + 248759344, + 260135954, + 771341080, + 65770711, + 202333739, + 818832646, + 500934545, + 865556165, + 904574689, + 566045979, + 723961023, + 697983691, + 424231845, + 522542529, + 908799095, + 388926147, + 422767056, + 420288606, + 645543548, + 529698396, + 441934947, + 188390918, + 814388254, + 571322036, + 719072867, + 532954014, + 136178789, + 316508755, + 107025088, + 206235333, + 346187147, + 721577569, + 149384247, + 746371584, + 366990611, + 634343881, + 336777425, + 806792587, + 277637295, + 445753852, + 749130066, + 542437897, + 372775183, + 588813946, + 696425666, + 712930085, + 401006790, + 849858720, + 16741050, + 159346677, + 715804592, + 459654301, + 652721672, + 866832161, + 899987651, + 994362497, + 939296900, + 614055810, + 518436286, + 562235685, + 490644635, + 425839736, + 133165913, + 269527754, + 538656181, + 153453535, + 199257143, + 904907592, + 198076157, + 325513885, + 233634466, + 838949124, + 330433635, + 401876385, + 433476665, + 485457076, + 815449173, + 294230227, + 971868852, + 881093963, + 879257292, + 906308177, + 16868812, + 583203212, + 621878430, + 919168097, + 4171572, + 278484289, + 76005862, + 598710051, + 604738363, + 467428534, + 905420374, + 138571148, + 648426182, + 565451868, + 898042014, + 900155151, + 436258856, + 733440131, + 647360130, + 516509261, + 844041547, + 964858698, + 115966133, + 723782806, + 203219400, + 324265305, + 834193866, + 3753234, + 44567009, + 591958194, + 40855317, + 140470340, + 611674389, + 547493519, + 458966953, + 863530455, + 957239824, + 166816802, + 717833013, + 695488197, + 538519075, + 939638212, + 46985762, + 217138490, + 994426032, + 573027255, + 199240003, + 219521587, + 491404946, + 795965051, + 647739785, + 593484406, + 645774475, + 998861399, + 316603956, + 334015970, + 156199065, + 277881785, + 367343564, + 322759866, + 536888885, + 484449998, + 512859659, + 449267770, + 414937317, + 572548284, + 932492888, + 119750936, + 87402336, + 460108315, + 98358516, + 329787285, + 872810014, + 39548256, + 928455132, + 669531029, + 296563472, + 388158807, + 497357565, + 247981374, + 855784929, + 124109759, + 448979424, + 92063689, + 818576108, + 726976171, + 302380837, + 587855237, + 150338427, + 494610526, + 676629107, + 116445892, + 149880076, + 941071333, + 140138890, + 660891586, + 692993529, + 855232946, + 724205835, + 228833801, + 717426666, + 625756850, + 725235400, + 761917260, + 985087981, + 832005982, + 249626997, + 404386898, + 766900415, + 695809069, + 173072397, + 238674466, + 966300197, + 74778372, + 586824489, + 52134791, + 444683370, + 68701770, + 518987833, + 442179004, + 489260191, + 295751636, + 400186764, + 436436748, + 922116400, + 279199037, + 37350129, + 476283466, + 677019002, + 840465529, + 317710899, + 364679938, + 609561085, + 934781644, + 180927013, + 478325528, + 1518195, + 354925266, + 157804922, + 967881002, + 110404971, + 978283605, + 504583276, + 788884194, + 352409587, + 439874432, + 86108595, + 894858182, + 831555984, + 633262196, + 361608458, + 603787844, + 894401864, + 67588347, + 955282098, + 321232596, + 831961803, + 811739214, + 822291342, + 235189709, + 355571521, + 774167165, + 110554900, + 634495756, + 441048726, + 683852900, + 467536908, + 757820551, + 450364546, + 359943670, + 541292725, + 616730170, + 364215171, + 194950245, + 905539426, + 32467052, + 974753387, + 173867455, + 680770155, + 538710134, + 336165126, + 691180968, + 532497703, + 851480805, + 45552032, + 660243735, + 262173003, + 852367623, + 820411122, + 247064282, + 226022657, + 468945962, + 957224612, + 911234628, + 833445905, + 583465831, + 803315496, + 933144749, + 63963348, + 482357191, + 901245675, + 142302739, + 78936835, + 10282609, + 949064088, + 697598818, + 948059324, + 447894080, + 130103384, + 190515121, + 357342639, + 796622031, + 903531182, + 263271238, + 139605615, + 8975606, + 370197896, + 214190428, + 309856587, + 739768377, + 560994496, + 840530545, + 450318864, + 403497898, + 683678295, + 500122575, + 830513135, + 16906061, + 792583592, + 282385304, + 732124527, + 790791423, + 780286521, + 67811702, + 424617995, + 41699355, + 340241987, + 549401840, + 977558284, + 140092780, + 664009357, + 649349092, + 296244631, + 980925766, + 4507653, + 325119630, + 579717303, + 16442617, + 356659753, + 678360892, + 434144571, + 869330975, + 739834043, + 15984418, + 710733955, + 965542634, + 234127305, + 978021652, + 791785593, + 323371510, + 828211232, + 239850107, + 657997213, + 999955106, + 233794004, + 362023631, + 492544452, + 92993003, + 839241655, + 159559090, + 630738083, + 657448605, + 163147658, + 612116259, + 953518362, + 505609295, + 240673666, + 917551, + 156779495, + 699301213, + 557163852, + 303347976, + 609314130, + 799264734, + 535404560, + 70436457, + 104014611, + 339085468, + 834223318, + 152417817, + 515908724, + 905142610, + 157245258, + 364290395, + 113683839, + 602228989, + 47108946, + 287901710, + 260578798, + 198370257, + 36941070, + 786264236, + 125698838, + 622882204, + 918232106, + 156631231, + 288060772, + 337527565, + 130180166, + 298889466, + 15526979, + 94608468, + 914744510, + 554422860, + 667677542, + 964945962, + 794759785, + 913242365, + 148174576, + 705412895, + 7469369, + 349004594, + 503101429, + 673630858, + 271386839, + 66634622, + 760954883, + 831793829, + 399926876, + 120005257, + 41584947, + 550115943, + 780432201, + 509670095, + 682938837, + 276156646, + 123189029, + 722304837, + 258990834, + 367334992, + 7809574, + 769182511, + 802162627, + 835323110, + 963319302, + 9536898, + 963191189, + 934708460, + 66366999, + 674289951, + 43334554, + 331249112, + 791847234, + 882819144, + 407526595, + 709617560, + 682465646, + 61906845, + 533053742, + 645217138, + 940058194, + 701580798, + 116861062, + 931802628, + 548177941, + 512037742, + 447740029, + 23120555, + 656664651, + 503212915, + 80708922, + 594503441, + 753650372, + 892828694, + 78637642, + 690532243, + 315608658, + 852051723, + 790981844, + 251796526, + 44015398, + 936785177, + 737818343, + 142810275, + 599858505, + 173834924, + 865953771, + 22860977, + 743030618, + 846066600, + 205241179, + 486878240, + 765925414, + 177020716, + 97769569, + 388644524, + 172022383, + 405411417, + 172779253, + 314674339, + 988150960, + 95342994, + 601863105, + 813551331, + 563602503, + 313915571, + 971067927, + 964474094, + 703291048, + 249803535, + 471813462, + 766968689, + 189545469, + 577903652, + 792433140, + 571398208, + 757398464, + 230016505, + 181228708, + 336750987, + 383514763, + 975664416, + 731319303, + 361210060, + 623363688, + 816329962, + 312049955, + 764936676, + 440212440, + 798866617, + 876280366, + 589528732, + 49259251, + 599395189, + 388823444, + 84937098, + 331574513, + 763715993, + 341547656, + 226998564, + 636359056, + 245482826, + 567673362, + 406168126, + 611268057, + 707476641, + 152751992, + 799798111, + 153745931, + 47931840, + 665262714, + 297991184, + 451203387, + 25739880, + 967458497, + 441282375, + 817078939, + 176602863, + 61032732, + 966123974, + 643193415, + 473346963, + 663064272, + 269356877, + 16264986, + 712721472, + 189423555, + 741395021, + 345536170, + 556341549, + 213250633, + 168887751, + 625915700, + 531098881, + 597953140, + 396592901, + 114263738, + 17603131, + 125718555, + 823387910, + 879650370, + 773644914, + 301485393, + 9255607, + 267844422, + 924540687, + 758964745, + 136745738, + 460960341, + 280907009, + 364725039, + 550542214, + 300625915, + 614786911, + 21864651, + 141138137, + 199889826, + 327036908, + 946316711, + 602837947, + 612045339, + 894883655, + 430681861, + 961056738, + 176838223, + 813208160, + 568948954, + 555118245, + 367823104, + 816901031, + 151750003, + 432291188, + 996760941, + 876712217, + 170167389, + 305787121, + 484379667, + 31203598, + 389197464, + 834246950, + 635627380, + 883768169, + 176287609, + 960208862, + 836850880, + 802307066, + 318798308, + 765181229, + 694087892, + 727581990, + 436205868, + 716519107, + 811919628, + 211009811, + 994395838, + 940320236, + 900061348, + 226062442, + 135144726, + 481425955, + 500770664, + 797581090, + 624060705, + 728925509, + 293753323, + 530564638, + 460259890, + 247801027, + 468449272, + 94555702, + 670051292, + 394570720, + 627483323, + 926972208, + 537153924, + 167938980, + 356381102, + 43020379, + 212787393, + 509625299, + 88004907, + 684819221, + 125995679, + 389294933, + 659084922, + 863185842, + 311081699, + 355530842, + 571398790, + 939225259, + 102835229, + 342198592, + 211798715, + 963926783, + 486126396, + 657612504, + 974424231, + 891219130, + 132450478, + 891889762, + 229254918, + 401064160, + 927342323, + 626089605, + 33672693, + 122795846, + 123017501, + 227343229, + 746153554, + 14691446, + 614721354, + 629619102, + 73736575, + 746881672, + 540698963, + 240739736, + 361740480, + 130496714, + 896380772, + 405951301, + 497450401, + 733900756, + 916069404, + 607541405, + 135190654, + 955258701, + 988310199, + 304200761, + 561922221, + 954205796, + 14589448, + 193982789, + 316678428, + 817157497, + 113149294, + 785778732, + 63006515, + 712975977, + 129239741, + 155378047, + 136274311, + 401595275, + 877464406, + 79188634, + 417703405, + 200962664, + 429290488, + 217431189, + 599223542, + 196357188, + 824617184, + 56016053, + 735173634, + 822378671, + 363675394, + 73943985, + 982088714, + 887477663, + 793720830, + 252910209, + 351829095, + 257583443, + 432778492, + 168047138, + 516911784, + 242643183, + 322610230, + 560830925, + 286837463, + 753895107, + 601381501, + 403315308, + 575927677, + 158808236, + 959297723, + 337469814, + 584870237, + 97375506, + 871254657, + 203099646, + 229377847, + 37503469, + 248579459, + 664934909, + 76372313, + 26266727, + 554086901, + 211050772, + 874997163, + 738982657, + 528661525, + 212409332, + 683114083, + 30075946, + 922275571, + 937389792, + 304239250, + 518009237, + 486552091, + 654790295, + 139261818, + 651194208, + 946069977, + 549874863, + 791281080, + 104539570, + 493866648, + 86886377, + 631311987, + 433480457, + 78337724, + 137913852, + 770257433, + 447216236, + 528068994, + 866287991, + 946627154, + 793872290, + 911816135, + 785613854, + 548735092, + 732204616, + 257626418, + 954284101, + 660379743, + 981753142, + 291626088, + 491361573, + 137584635, + 996874037, + 562080907, + 655509140, + 765790272, + 542990370, + 752481068, + 959427753, + 71429333, + 856484891, + 697743668, + 951641032, + 923595919, + 372191575, + 61193218, + 949450805, + 349344555, + 982358099, + 233871679, + 528214939, + 278880838, + 935615313, + 866972277, + 819626310, + 824571952, + 187060639, + 323811002, + 359304041, + 962144767, + 591619810, + 525770940, + 56782568, + 562521658, + 766010183, + 945101001, + 3105574, + 448144283, + 168205974, + 671452312, + 243617941, + 91010033, + 871622698, + 961028825, + 699310254, + 117214327, + 255112656, + 338727512, + 70939057, + 982342803, + 363773571, + 826893518, + 851029416, + 812095542, + 617915439, + 343283119, + 446557594, + 239537801, + 663605454, + 937539164, + 32386612, + 40489029, + 42359935, + 783260727, + 416378698, + 439983523, + 325651296, + 897193724, + 723241247, + 340874773, + 126683829, + 990991720, + 80575175, + 369276313, + 134838803, + 875993561, + 348205566, + 789298596, + 608944316, + 75963077, + 914472982, + 990354423, + 429164543, + 995928990, + 806552268, + 886459879, + 989765902, + 519830138, + 517914654, + 401859944, + 995122110, + 192217950, + 931601391, + 766297398, + 17415710, + 544700302, + 998939883, + 307767652, + 491752022, + 46452668, + 72130753, + 419432348, + 778682122, + 402985843, + 921668700, + 610848334, + 633693961, + 724118613, + 45128055, + 141188815, + 950906411, + 434595489, + 126462542, + 242240845, + 796306039, + 191738063, + 124158342, + 654686099, + 132117609, + 503500865, + 484236541, + 690573439, + 649362674, + 664985262, + 198900202, + 410232902, + 16602332, + 61752711, + 340826712, + 538675354, + 888598561, + 949947703, + 959626481, + 355320143, + 87882594, + 51968756, + 616953324, + 671905395, + 69664352, + 918901303, + 915892455, + 779473729, + 787640228, + 517456106, + 374062765, + 3973408, + 571611894, + 355411599, + 229663280, + 474707955, + 804569187, + 281658393, + 163479671, + 486825489, + 457435052, + 108763306, + 999081945, + 905573109, + 57304786, + 783441733, + 61119711, + 206470905, + 61069370, + 276534535, + 332936764, + 701988125, + 987468924, + 292327689, + 541819726, + 291659987, + 201967426, + 591821046, + 54882261, + 741730089, + 719505095, + 442102332, + 131677792, + 302682221, + 44393504, + 846381341, + 829048839, + 91731486, + 947652617, + 400352444, + 624135589, + 497452928, + 336611373, + 472680380, + 6684090, + 743645320, + 14733718, + 817001123, + 179771299, + 315948267, + 537244051, + 350582584, + 379135433, + 789078578, + 37934467, + 156733318, + 136687934, + 535746813, + 282532590, + 460513783, + 11476664, + 142834166, + 758776889, + 94274345, + 483321682, + 527157344, + 912625437, + 852369692, + 157756480, + 710812809, + 556900405, + 403099718, + 866247828, + 580852893, + 231393537, + 86643448, + 292669082, + 2204641, + 939341007, + 78011798, + 348279340, + 966862695, + 974363417, + 39611459, + 126881678, + 483561187, + 828232988, + 353047694, + 600004479, + 839082077, + 14089812, + 330327702, + 82748855, + 523564242, + 395905186, + 475123222, + 804046972, + 618836125, + 647394688, + 640251357, + 542373591, + 300476409, + 100209169, + 541348340, + 357127864, + 517162573, + 461135812, + 72820014, + 381051787, + 984155377, + 964956747, + 490389744, + 864379793, + 171892821, + 715112494, + 484836022, + 397525841, + 995383445, + 543822151, + 651695076, + 836473629, + 680383703, + 144024885, + 538879337, + 542453554, + 218592807, + 480364913, + 204919736, + 18259777, + 694125666, + 857197825, + 457668159, + 211971700, + 69967338, + 637134983, + 124128403, + 196908319, + 841238014, + 658857655, + 205175343, + 226198970, + 162770913, + 706672349, + 413741800, + 118221375, + 653893549, + 72262490, + 695247839, + 343686447, + 105088779, + 107570769, + 89601816, + 501111576, + 314319100, + 380203093, + 952540620, + 485119682, + 345483428, + 76486395, + 542624915, + 729832951, + 627251279, + 649812672, + 184370589, + 157053730, + 709243610, + 382090244, + 696180866, + 369477824, + 382886148, + 102492061, + 684707506, + 224913340, + 602411116, + 75992739, + 849710585, + 420698557, + 652410285, + 531858883, + 261754753, + 99495572, + 133925223, + 323837033, + 391164673, + 525930473, + 777121047, + 333823768, + 511726624, + 196385938, + 784197560, + 113853560, + 998640600, + 829992063, + 199930036, + 774425380, + 444723793, + 951526354, + 776389321, + 535659766, + 412105722, + 10524815, + 402792253, + 32285143, + 794067740, + 192615598, + 661290154, + 986010545, + 106345723, + 559998806, + 529041703, + 16153211, + 991771996, + 546224422, + 183546967, + 631989071, + 76728391, + 329752254, + 190922075, + 724278510, + 825539964, + 157868048, + 968537778, + 399460434, + 316119901, + 7589001, + 705524500, + 665617375, + 312358276, + 4167642, + 581343980, + 985559612, + 251936668, + 596547703, + 391237975, + 819270468, + 715628313, + 20182694, + 180497846, + 129038628, + 364873380, + 118786773, + 909982801, + 45181090, + 243557936, + 554794750, + 101652853, + 757743797, + 136751408, + 38267970, + 732787105, + 405970048, + 889514555, + 849105395, + 270925089, + 317452428, + 89450415, + 687042506, + 233277425, + 880223040, + 569755351, + 749486077, + 933694476, + 301382664, + 454115458, + 728346916, + 451703011, + 556172336, + 19877651, + 316093171, + 587432460, + 133324154, + 657523655, + 42688361, + 360546394, + 449393501, + 613995171, + 571196314, + 901614861, + 639573878, + 77349289, + 495337193, + 969649037, + 202513603, + 672157887, + 830099718, + 380877704, + 866906967, + 331917420, + 792346620, + 587938437, + 971813366, + 464190622, + 411836621, + 661063597, + 41664394, + 396145135, + 623571044, + 360190628, + 288298808, + 788615365, + 415987607, + 991387253, + 764089727, + 870838261, + 957499768, + 458466670, + 886243004, + 23236655, + 235070105, + 993474782, + 716608890, + 332312335, + 47651154, + 627739550, + 196630730, + 34357483, + 437090054, + 920400352, + 209916681, + 83692890, + 915373880, + 155293625, + 701717274, + 791079666, + 125958123, + 678841659, + 129260492, + 614710260, + 683132155, + 272453037, + 87009237, + 161053234, + 673997536, + 115263950, + 696899241, + 229399978, + 519110957, + 354494851, + 928401183, + 574646716, + 405928257, + 197522126, + 152280690, + 422911488, + 722556945, + 978071399, + 223153711, + 734911760, + 855317065, + 850806494, + 653450782, + 703387385, + 179859401, + 218285815, + 975935480, + 51699246, + 972643318, + 448171217, + 524737602, + 187446572, + 643095967, + 822893444, + 3244738, + 788736682, + 296195666, + 433751741, + 749621964, + 36578255, + 102009509, + 102346075, + 608365056, + 462817120, + 797361667, + 385120949, + 866249428, + 996470158, + 464128233, + 488550741, + 38139929, + 775973454, + 951007359, + 526667395, + 84936915, + 228089589, + 913522884, + 164419458, + 89998516, + 757331758, + 780496655, + 726369225, + 522542858, + 929716216, + 145233876, + 97580852, + 615651945, + 759103745, + 549058746, + 521193922, + 80474726, + 461761898, + 423577581, + 924830988, + 722505011, + 617983077, + 352012729, + 931925399, + 947491719, + 810683705, + 398087889, + 284729079, + 596565119, + 822816347, + 169477434, + 261069012, + 925081604, + 812554257, + 4614103, + 212781604, + 899416497, + 692841837, + 138502477, + 367831317, + 466585230, + 146488177, + 549418549, + 414837974, + 193506514, + 264078270, + 497821924, + 284952964, + 896458706, + 240588129, + 649012523, + 908525619, + 235193810, + 662645371, + 346671281, + 386310029, + 10333935, + 92783829, + 603793292, + 612187174, + 590585231, + 691354870, + 227682782, + 727278232, + 96404369, + 23108196, + 401442155, + 924309554, + 832107815, + 695518370, + 530760390, + 558513341, + 626752508, + 497566921, + 734338102, + 391654633, + 82025233, + 443282496, + 746351896, + 927125511, + 887621946, + 7099976, + 317388026, + 534047917, + 854907790, + 242091601, + 77518062, + 484874570, + 96650354, + 728051850, + 571023907, + 137283793, + 49894467, + 307397289, + 284784507, + 843563931, + 131308276, + 480377644, + 991765825, + 858942207, + 414143483, + 236283915, + 189656577, + 469626924, + 702210312, + 769495460, + 365246419, + 687314635, + 3919326, + 184754913, + 757548221, + 974531310, + 645913701, + 166576380, + 551539449, + 280665093, + 714501947, + 959193732, + 827033456, + 349423638, + 491470314, + 695714582, + 91682111, + 761809699, + 893074731, + 732336626, + 353244705, + 447939405, + 891427051, + 653759919, + 926311454, + 165398748, + 318839593, + 295160414, + 237473949, + 334247876, + 3368693, + 537592643, + 37290747, + 178414447, + 932380862, + 356431196, + 995307450, + 187116104, + 647215667, + 896452907, + 26634283, + 137129499, + 117646126, + 501886784, + 646217101, + 336915030, + 287664328, + 434013680, + 652480234, + 432514153, + 124735038, + 411235136, + 411602102, + 84339813, + 344963800, + 618361110, + 784957910, + 456296136, + 164846888, + 408109854, + 610709998, + 824138484, + 404395936, + 505960314, + 308662256, + 178058161, + 530381402, + 782256076, + 834051825, + 70511527, + 124993337, + 201016071, + 261978168, + 127505817, + 164207813, + 930843312, + 8864805, + 610668302, + 650768076, + 826655106, + 534240522, + 413827035, + 193505040, + 791756432, + 683244039, + 633489186, + 729781021, + 73969679, + 748475854, + 134587847, + 373792415, + 203902324, + 714402797, + 162745388, + 667972331, + 57677526, + 527205477, + 962720077, + 49910284, + 547404260, + 590063411, + 601449358, + 348392510, + 283993933, + 482340092, + 644816747, + 205307872, + 620182667, + 82612071, + 484982344, + 465315110, + 698674786, + 191001272, + 172332872, + 946119198, + 719883941, + 954679383, + 914089206, + 621924391, + 987992178, + 952114660, + 592922360, + 847896893, + 485755689, + 292189976, + 884357307, + 449996710, + 686277904, + 222445846, + 544466060, + 697154170, + 485618885, + 506673506, + 349005510, + 280475048, + 907002449, + 733685565, + 598711818, + 689703065, + 992194908, + 800946863, + 478816066, + 275228496, + 444963614, + 387971074, + 874601363, + 693564572, + 643615233, + 978734140, + 968542187, + 800341368, + 814136933, + 881565014, + 478692964, + 690699046, + 806122553, + 143508475, + 679207852, + 749650333, + 304818034, + 448882871, + 777974081, + 19579243, + 264876486, + 920578942, + 950309754, + 935341997, + 676844542, + 461225682, + 41039166, + 238261992, + 597633564, + 834674170, + 358676548, + 959055401, + 732568276, + 654542242, + 20886576, + 519496588, + 117791267, + 519724196, + 874417221, + 153153161, + 393284013, + 335225632, + 566479586, + 898443012, + 206119413, + 382629689, + 62018018, + 814637685, + 40642256, + 838745092, + 757079974, + 410594683, + 127843591, + 747528947, + 501601498, + 323842962, + 202118376, + 859901510, + 995140075, + 70878082, + 569089244, + 647497519, + 709827653, + 160841915, + 380767638, + 209585268, + 426407437, + 996960854, + 293342964, + 986859880, + 388975931, + 640288197, + 558981273, + 785279935, + 663065809, + 425242604, + 795857052, + 817885230, + 292326438, + 439421781, + 858767853, + 359024043, + 563315405, + 881886041, + 301706441, + 665668137, + 940406452, + 859341175, + 610272442, + 988650038, + 467674564, + 595733307, + 224670151, + 546273675, + 26855759, + 293117550, + 755855066, + 659210578, + 677409260, + 365752139, + 809881287, + 269353758, + 286784911, + 94065130, + 493661609, + 329558920, + 349492429, + 575328637, + 813189738, + 446960085, + 745811114, + 911348686, + 304420614, + 883891146, + 459884635, + 717520353, + 157581584, + 893771752, + 251763802, + 569248030, + 64560590, + 841536292, + 744184394, + 214586398, + 546578262, + 388198097, + 587950015, + 533409866, + 832476678, + 732092697, + 345651724, + 934405230, + 700869871, + 227490145, + 351601293, + 220154561, + 355146024, + 638611050, + 332163544, + 598086612, + 805555069, + 308733286, + 151212896, + 724226706, + 332307750, + 632979741, + 842031676, + 826395351, + 503014816, + 689491256, + 427548429, + 517796805, + 626740601, + 549773314, + 657144462, + 776728514, + 764310372, + 86473424, + 537220599, + 494007367, + 952922867, + 300207480, + 769883832, + 594495319, + 165371850, + 582182364, + 50817791, + 83306084, + 262064341, + 657041262, + 403164028, + 667547153, + 296843495, + 989872619, + 195911261, + 822427183, + 966387374, + 86068283, + 685952323, + 122923837, + 722238175, + 207943805, + 289831281, + 468111011, + 934563545, + 294361498, + 540496994, + 300966420, + 56863071, + 249927961, + 942472782, + 585938403, + 7550201, + 998829925, + 358705423, + 502385911, + 106008357, + 133251927, + 836416589, + 760120313, + 206600065, + 233229888, + 671063507, + 260482150, + 560711250, + 552127083, + 575309032, + 28873685, + 993475875, + 939597352, + 848547442, + 668233622, + 790236833, + 426699271, + 214699599, + 311868287, + 974771997, + 610414580, + 983426633, + 520768249, + 295929332, + 96489795, + 781174831, + 834902819, + 127769013, + 420478876, + 515093905, + 102108112, + 747268945, + 471146833, + 501871135, + 109054646, + 229514168, + 680680818, + 53742012, + 330075762, + 458391294, + 109300480, + 136097253, + 82363800, + 596361267, + 716975875, + 792709599, + 284220338, + 876492052, + 562320674, + 375011490, + 975550889, + 445421180, + 570337013, + 447942541, + 916875439, + 623408060, + 967009496, + 125973745, + 904021417, + 101400346, + 41086313, + 47760826, + 384081405, + 668409662, + 636733251, + 824394392, + 886393798, + 598016813, + 634779868, + 312226553, + 599717101, + 701938853, + 286039907, + 255040303, + 897272683, + 523021538, + 478540489, + 143133073, + 198588456, + 136458618, + 565492037, + 950177248, + 879068675, + 846816074, + 814365134, + 759629505, + 489661196, + 935337346, + 739541683, + 217104154, + 304422600, + 330846519, + 404897768, + 124788629, + 438335780, + 372733946, + 622362010, + 395722696, + 277100056, + 908389256, + 587561364, + 9120751, + 390929465, + 385976108, + 354010431, + 944067176, + 457015217, + 855407385, + 79851074, + 881296732, + 32616096, + 629278910, + 178662048, + 576920680, + 826079949, + 470894116, + 307504127, + 893470540, + 681329870, + 907129424, + 958307123, + 425586214, + 90016476, + 287448101, + 378762820, + 103881578, + 850744220, + 414306572, + 844415325, + 993662674, + 761368124, + 426984726, + 572143243, + 549591193, + 318531571, + 732320949, + 2550383, + 604623267, + 695921080, + 272584175, + 796846803, + 167103546, + 808785349, + 272854035, + 435066421, + 273936919, + 841230246, + 380707346, + 905040170, + 68986745, + 937094675, + 696789447, + 61670119, + 729952644, + 804280480, + 151087797, + 44834415, + 314140645, + 83933423, + 871617204, + 494749763, + 484033978, + 408035606, + 645739075, + 200185583, + 878339273, + 893449765, + 943642483, + 141808578, + 550737281, + 536644345, + 495556184, + 717343906, + 626744374, + 12873616, + 133256100, + 905167126, + 584401550, + 226617881, + 403354227, + 495162591, + 202373221, + 765960397, + 646064048, + 511682168, + 813590852, + 354720084, + 502385164, + 975681217, + 36809955, + 690333094, + 775216187, + 93976746, + 440092607, + 659446562, + 409522990, + 808426515, + 711555858, + 690028556, + 301523309, + 606509329, + 880370827, + 264064729, + 638588496, + 561106769, + 539539705, + 68273130, + 561642729, + 204204146, + 342532754, + 881873860, + 45494865, + 803713598, + 824282473, + 109062202, + 48901013, + 350413683, + 519689542, + 27230520, + 885157499, + 740267704, + 440003074, + 178568044, + 649203155, + 568132633, + 776749234, + 311489380, + 988771246, + 295944279, + 881001290, + 243548761, + 961360298, + 513082165, + 463834896, + 47343951, + 947723658, + 732081244, + 410180203, + 453750081, + 207668803, + 396718734, + 186576408, + 793940987, + 545761893, + 701746466, + 422081927, + 696284557, + 919060774, + 769676310, + 203780016, + 964554065, + 303003429, + 907651319, + 386023160, + 328757097, + 258018694, + 590624301, + 986883448, + 357939197, + 108094554, + 870218120, + 950293969, + 641049262, + 319228397, + 556217524, + 452151101, + 179377562, + 624214720, + 810736880, + 557190247, + 961863974, + 291938490, + 551923228, + 959582628, + 953015935, + 881058724, + 168471452, + 34308296, + 951451402, + 240488108, + 780874430, + 672763304, + 423475882, + 815369973, + 608616037, + 434612635, + 470469841, + 559528420, + 719190777, + 569827245, + 3093322, + 138693159, + 568075277, + 333456204, + 536005810, + 666811610, + 524145355, + 723600196, + 863088555, + 809297265, + 406650672, + 533372275, + 565168285, + 143005290, + 269012459, + 326934265, + 650641532, + 948825463, + 556401059, + 792020380, + 933092247, + 117536478, + 317599907, + 741081791, + 727165800, + 839107842, + 364438638, + 829863287, + 178330998, + 675672730, + 572780192, + 232485594, + 929274198, + 456335362, + 726893119, + 648087573, + 320322869, + 681637551, + 214349514, + 472740291, + 368217359, + 845009454, + 81824153, + 44802543, + 565280555, + 895820097, + 99224231, + 444333746, + 17019458, + 268946923, + 306356391, + 36885376, + 164839576, + 422870420, + 970738560, + 289910913, + 583938862, + 31105828, + 314499091, + 448169787, + 639773253, + 655091467, + 363430765, + 508577760, + 840370578, + 200837514, + 757601657, + 905220815, + 411142994, + 817760242, + 653318826, + 589525873, + 608418728, + 351278933, + 660987020, + 201948623, + 663565659, + 636424702, + 925676477, + 107852100, + 428590574, + 103432586, + 142886970, + 975697402, + 721371312, + 306056268, + 956463846, + 973137093, + 429260356, + 400504401, + 466788511, + 449935707, + 736416123, + 937302262, + 740939118, + 351101897, + 442814562, + 871336807, + 223454476, + 522289154, + 288575316, + 491856821, + 116716045, + 690450781, + 710265214, + 805555057, + 30695099, + 327118577, + 946790109, + 23801545, + 516939602, + 289053761, + 315952644, + 579924388, + 507451226, + 485271375, + 381160949, + 125085623, + 366845689, + 367961032, + 314286400, + 710639442, + 772332801, + 156424426, + 196563861, + 217078283, + 835411446, + 305768609, + 479720936, + 910052636, + 386955650, + 578881846, + 579975167, + 447364654, + 779181628, + 564858733, + 309766278, + 485744376, + 421078332, + 521987945, + 615156887, + 781026289, + 92429730, + 138574141, + 449658112, + 447782815, + 410325473, + 449454747, + 410542993, + 721606781, + 386286463, + 138891979, + 963589377, + 67798348, + 200785858, + 450096149, + 481571739, + 997440884, + 616763473, + 605170678, + 536271435, + 364434420, + 730277887, + 423681603, + 575760961, + 316533524, + 471777021, + 819379953, + 230399789, + 602243365, + 35168062, + 857552405, + 498741578, + 849831630, + 285094141, + 453611263, + 517662171, + 104553693, + 112848628, + 763510840, + 69700215, + 796583614, + 496401580, + 738570522, + 111281736, + 666663244, + 966107780, + 529799487, + 836614864, + 991460244, + 448160557, + 673186247, + 188117604, + 579200066, + 898988180, + 182799197, + 705021899, + 374829172, + 862397411, + 508941550, + 33057913, + 379365272, + 629300732, + 214852830, + 861531346, + 234320376, + 495332656, + 908699004, + 865425404, + 487576686, + 351557153, + 975078062, + 296833432, + 317315575, + 911334946, + 381866544, + 189994260, + 225730768, + 819815457, + 538192089, + 120165512, + 906265237, + 321498216, + 543420486, + 265800709, + 425558313, + 136248317, + 510914129, + 655789575, + 960311333, + 115842068, + 146826991, + 639007988, + 682959798, + 456704563, + 534923945, + 164467396, + 888478019, + 560263635, + 185088361, + 332296898, + 907662766, + 886416673, + 369288158, + 929574506, + 813777697, + 143197094, + 952097362, + 948794342, + 901334215, + 769180508, + 185221305, + 190282909, + 315911023, + 264706841, + 399405196, + 820887064, + 463835797, + 97957513, + 994508459, + 899349581, + 164236578, + 487480966, + 368224623, + 28195118, + 710330739, + 782320160, + 950825070, + 581524481, + 373604699, + 873274205, + 933246634, + 675540482, + 260334961, + 147118615, + 654212760, + 767466312, + 809154662, + 641838354, + 595367271, + 95043372, + 49415084, + 434090342, + 326791678, + 68888478, + 802943805, + 651114374, + 971653756, + 567166855, + 287884429, + 974974010, + 251224807, + 67113001, + 396407606, + 571146518, + 361484193, + 328539510, + 839027653, + 845177145, + 8332719, + 838894910, + 932115662, + 690130443, + 434934833, + 319468133, + 14579893, + 925892121, + 387319695, + 607300412, + 433967443, + 813974270, + 434708273, + 923666831, + 582254836, + 926459825, + 109220202, + 77279955, + 59015171, + 522417252, + 600919074, + 435881944, + 808178255, + 200613516, + 871192494, + 643897012, + 740673518, + 96925861, + 703474867, + 659939285, + 471741859, + 970469309, + 838907402, + 578462505, + 148046674, + 365406397, + 186942896, + 316067127, + 995138640, + 583710600, + 91331578, + 682346031, + 764937409, + 921964627, + 999803777, + 549901181, + 598970434, + 952477033, + 846752769, + 342865707, + 227543503, + 75104690, + 516266858, + 330043862, + 200661826, + 950026861, + 254515287, + 889662386, + 131919565, + 140252660, + 793616894, + 673318794, + 830575032, + 802585082, + 89263333, + 931150230, + 716298391, + 913299131, + 672998708, + 252121437, + 720163236, + 715365533, + 134552863, + 566747588, + 465280837, + 97160520, + 286664879, + 50885957, + 93255921, + 829652026, + 922808483, + 71762040, + 771192630, + 950485243, + 620473233, + 820488000, + 410318915, + 726910497, + 171236219, + 335735227, + 369329752, + 795083476, + 233879096, + 783926937, + 787809538, + 570394899, + 35803497, + 281661937, + 393644357, + 704641735, + 899552446, + 641603036, + 329993282, + 34395715, + 302436143, + 313785598, + 900708697, + 238214231, + 341015835, + 656634284, + 272841938, + 986527187, + 679651864, + 743802200, + 522399802, + 649526359, + 778746782, + 711901280, + 358135339, + 835216708, + 595644307, + 643972110, + 256724220, + 629755932, + 439403386, + 849244372, + 935014405, + 595362979, + 681101458, + 348032087, + 412151156, + 476197860, + 941418198, + 480527561, + 732798488, + 411596139, + 569377035, + 316526543, + 430484122, + 31458121, + 982521790, + 257979111, + 650626085, + 125631046, + 45259174, + 791819035, + 688105733, + 43186172, + 879520579, + 745437709, + 49344707, + 535310755, + 128374497, + 750165313, + 989471934, + 763655658, + 963502965, + 365239995, + 659668974, + 432744401, + 219004256, + 43236286, + 256031574, + 81825185, + 965878819, + 953914867, + 919192735, + 307812706, + 270374152, + 836693242, + 273132579, + 476428619, + 161527230, + 884745904, + 216548943, + 301671825, + 313454843, + 865239510, + 529421372, + 585951615, + 293698417, + 930256360, + 851314588, + 863413307, + 286404893, + 2195353, + 406707616, + 438492860, + 241408057, + 673194214, + 477470020, + 97492770, + 53160464, + 105741053, + 286728737, + 209400637, + 650587391, + 493200524, + 310904043, + 738031373, + 648494613, + 292539673, + 879949298, + 803609009, + 647990295, + 874918943, + 425921595, + 828327756, + 905057456, + 888898003, + 118638112, + 386843617, + 13560673, + 369022955, + 194597462, + 413863356, + 339987505, + 506063175, + 869674636, + 563703689, + 467989264, + 648664898, + 389494728, + 184216693, + 74673977, + 247886161, + 391154808, + 800354188, + 516700975, + 538857298, + 97633066, + 248701197, + 289601955, + 35251393, + 974685921, + 207159971, + 501582870, + 61807787, + 566157909, + 432800064, + 448307408, + 139361647, + 752172671, + 260454641, + 702127328, + 181766908, + 344793957, + 406440404, + 524778184, + 807160011, + 487815169, + 360173465, + 316750904, + 246989913, + 543431742, + 437548979, + 152239743, + 142456595, + 200081211, + 147156887, + 716577358, + 543820724, + 543995554, + 628148362, + 446477120, + 893161310, + 908942070, + 411620182, + 43379379, + 588034715, + 477681310, + 579464194, + 854716748, + 385113602, + 409362063, + 923031946, + 218933921, + 469735073, + 670024505, + 816737592, + 326193181, + 190524165, + 863149, + 117144540, + 111901126, + 557720020, + 617224125, + 271355123, + 984505640, + 801074305, + 428333343, + 996365498, + 163736019, + 895202464, + 606872499, + 937100559, + 817006480, + 168105221, + 137539855, + 249072398, + 876760488, + 868254596, + 220377526, + 301538193, + 696807489, + 466351245, + 88966740, + 789894853, + 113510571, + 304534003, + 659538364, + 189074911, + 828161504, + 275137812, + 158894257, + 14870659, + 516670153, + 494237227, + 548735363, + 804981085, + 751808980, + 700022914, + 194823141, + 481679169, + 580229680, + 609577186, + 93390946, + 753139005, + 483368685, + 456310706, + 967857121, + 990786111, + 947189681, + 173608133, + 920043537, + 596128894, + 339457160, + 385426189, + 812705344, + 56821674, + 584027226, + 48672937, + 751117248, + 378031097, + 275978775, + 548607537, + 710101458, + 807517477, + 433576063, + 515380877, + 401507827, + 460679472, + 516482149, + 481994007, + 676503591, + 573678202, + 12833184, + 515325902, + 243665496, + 770918772, + 273502283, + 907047066, + 872170911, + 997988283, + 218847474, + 549585759, + 241992357, + 394586036, + 437115919, + 298060111, + 952332026, + 772648171, + 755049140, + 470031581, + 400064459, + 485462874, + 820936561, + 441247717, + 331877710, + 8600657, + 429446960, + 921527735, + 953879151, + 598622070, + 436810402, + 497814807, + 193307898, + 6960779, + 398875528, + 194976754, + 375487213, + 851622051, + 527781725, + 925175918, + 73188435, + 264346529, + 905885440, + 514638895, + 655842709, + 385602498, + 713956651, + 687527141, + 766167365, + 100342716, + 817571941, + 284508702, + 452855414, + 267739299, + 562938360, + 370791624, + 982965789, + 517477936, + 455461382, + 668890931, + 731815597, + 653744437, + 103174471, + 207483581, + 223785494, + 620512886, + 883714826, + 607533706, + 458598890, + 447153731, + 578770851, + 991082816, + 409825844, + 947313072, + 611863680, + 641619051, + 915527944, + 219868687, + 884844371, + 320282756, + 935910090, + 723334054, + 866420765, + 432661210, + 858640720, + 399012870, + 274594490, + 619427457, + 287114183, + 526113103, + 117079936, + 953176940, + 348204958, + 330039038, + 96649300, + 964255651, + 76396483, + 560049300, + 171742833, + 753359230, + 955409568, + 701138205, + 106394086, + 283109605, + 659966034, + 203469473, + 322067923, + 705270679, + 527955533, + 644508649, + 453243061, + 334781304, + 67161693, + 740239736, + 845276576, + 606254028, + 968633413, + 270153230, + 15609874, + 556896113, + 473048001, + 952026023, + 155024247, + 8998372, + 808878561, + 90299280, + 256184723, + 528969810, + 135127449, + 294752131, + 519091287, + 597347636, + 484178318, + 983115861, + 986523245, + 982391115, + 211087471, + 718673428, + 280193826, + 961685921, + 478746454, + 622959905, + 488452369, + 215431500, + 475298644, + 672808055, + 812220649, + 129881590, + 938263230, + 225324862, + 551452162, + 642621178, + 252563814, + 343155482, + 718791305, + 150998375, + 522990841, + 987476746, + 973450520, + 13780350, + 536636163, + 566202945, + 469358025, + 269010485, + 590742601, + 490368447, + 398268500, + 754484287, + 680270667, + 738144905, + 546979769, + 891441127, + 839618226, + 676486701, + 534327077, + 18410771, + 712745100, + 439665032, + 973998715, + 251758473, + 107240016, + 369514425, + 898227701, + 913356569, + 49993499, + 863673055, + 102964880, + 500497333, + 932180724, + 739260615, + 851220709, + 516718684, + 884688895, + 881837804, + 864898721, + 898198439, + 157092668, + 149569962, + 84749678, + 299212506, + 628166833, + 347804602, + 77971286, + 947183907, + 954511938, + 705491353, + 702275009, + 245800435, + 131769945, + 843468954, + 286112306, + 474536317, + 759420360, + 506838542, + 904281379, + 36147631, + 48374304, + 590613169, + 4567540, + 846581514, + 4218417, + 866975656, + 227946538, + 285289124, + 802272596, + 569796677, + 599551926, + 551648808, + 401867835, + 123877689, + 437131181, + 756819363, + 978030744, + 680406928, + 439707356, + 256161616, + 933029007, + 460897678, + 302662979, + 993174909, + 752302344, + 892740959, + 140295730, + 259872679, + 372022669, + 294737191, + 379296980, + 914479296, + 699616799, + 678879908, + 735798660, + 282637198, + 892675904, + 586857450, + 159511658, + 259683720, + 828864364, + 836588071, + 915672883, + 916968245, + 989264680, + 383917973, + 97063267, + 284314145, + 777674784, + 158017025, + 835459049, + 377613286, + 639961404, + 455844893, + 367144039, + 196173019, + 237302493, + 797545388, + 250759510, + 743579771, + 686599720, + 667024929, + 981399332, + 60613076, + 508281481, + 87331087, + 322048384, + 388881812, + 150142705, + 903371857, + 483270733, + 350856070, + 276655865, + 884448113, + 118717917, + 556313968, + 31167998, + 537573530, + 181298663, + 632802073, + 864915106, + 67724929, + 596666269, + 475598371, + 623835548, + 44787751, + 157746260, + 223777373, + 164632886, + 609599525, + 341031194, + 85033113, + 580474066, + 13208933, + 965498017, + 130163801, + 647994691, + 292203283, + 925434943, + 102702379, + 946728937, + 39826707, + 574698030, + 658433269, + 397800637, + 704419188, + 931450316, + 411767838, + 366351065, + 646336687, + 176344362, + 191679281, + 75556938, + 58973368, + 3218152, + 618316253, + 250821515, + 313406860, + 532623839, + 841011772, + 223309583, + 556155174, + 870059877, + 243933433, + 175211890, + 934707688, + 780761246, + 11359400, + 371564365, + 673150414, + 351175999, + 291115749, + 38891848, + 301962843, + 411486232, + 516877756, + 723851104, + 73965722, + 974497020, + 492180986, + 342706112, + 753093367, + 158220204, + 979586405, + 577233074, + 194508705, + 806173734, + 748368, + 520958330, + 244197405, + 330882986, + 298730479, + 661182063, + 888944717, + 143437490, + 967367041, + 364803711, + 455190360, + 690696999, + 737051690, + 573843117, + 358260951, + 142176931, + 559743527, + 318271254, + 237800975, + 215724646, + 857838583, + 746012189, + 137791770, + 458472384, + 649699269, + 622531836, + 406789211, + 201621307, + 253319713, + 275520458, + 279276021, + 271704284, + 125048181, + 609944319, + 953334436, + 195441216, + 793939906, + 772366633, + 28840526, + 829116352, + 510321088, + 64670846, + 879689322, + 987774, + 433238720, + 774260444, + 425137601, + 339840412, + 189797030, + 729406428, + 270570642, + 592171879, + 804379631, + 52413932, + 165881688, + 617957463, + 646944415, + 568341675, + 108071671, + 611919703, + 93147523, + 451987707, + 1607942, + 992413706, + 655301052, + 453804636, + 213026408, + 118394261, + 567118201, + 457240833, + 222928598, + 238578817, + 93228069, + 421164362, + 237482704, + 878961040, + 41261614, + 600236901, + 992672382, + 611345648, + 242618495, + 307349352, + 597451722, + 91873110, + 878404944, + 615331857, + 252748995, + 658530937, + 412382651, + 335465809, + 158197678, + 877133891, + 419957196, + 264480433, + 529121317, + 532657139, + 757662623, + 658296384, + 130633535, + 620318965, + 758820720, + 543594273, + 910068187, + 133603693, + 689223716, + 47935942, + 103805811, + 364895168, + 7562600, + 326456562, + 307799389, + 762806623, + 101400368, + 401428519, + 33138792, + 295226394, + 905759641, + 718353656, + 976602785, + 442118145, + 196667033, + 873226571, + 317904901, + 375909392, + 893472771, + 480996636, + 321989373, + 531861785, + 875300465, + 426070983, + 547884832, + 877846695, + 176508789, + 865774296, + 865649775, + 322445565, + 648870647, + 367921534, + 612629197, + 589614120, + 345054597, + 422925088, + 651649273, + 330361455, + 64133505, + 174957910, + 685448984, + 693065435, + 80483864, + 976471519, + 887069055, + 994721324, + 863001281, + 447365519, + 771713149, + 711921631, + 877279512, + 22100553, + 314695277, + 251097133, + 169331996, + 364409454, + 764751124, + 250763534, + 516226905, + 143962397, + 624828994, + 822801528, + 693915417, + 478568026, + 928241645, + 610057491, + 141124962, + 264059137, + 256758089, + 101794811, + 579419161, + 539358054, + 345440035, + 477733296, + 821100707, + 638936437, + 253148016, + 601578049, + 394307354, + 151651720, + 582916995, + 393777146, + 13646419, + 432700597, + 993428107, + 875316212, + 806514254, + 936213550, + 905679371, + 940320401, + 829245842, + 932730924, + 362980932, + 618279821, + 82340475, + 561171162, + 22141237, + 830173107, + 392075026, + 941214025, + 440381232, + 52377502, + 119904829, + 157354681, + 689822577, + 849699016, + 661567741, + 257137000, + 923981802, + 454285513, + 38927215, + 181680345, + 454437758, + 87713768, + 280150329, + 970107625, + 831695693, + 484159362, + 463304544, + 496944089, + 123472960, + 831604000, + 71739042, + 153229273, + 106297005, + 37142690, + 963662759, + 247071638, + 632700227, + 966905844, + 457127990, + 485852764, + 113476979, + 318276105, + 355236508, + 76451547, + 704898948, + 575087092, + 163128955, + 107548452, + 234744201, + 243555040, + 903182697, + 846150516, + 483788672, + 662660595, + 397736851, + 49347019, + 470250498, + 75727487, + 182554961, + 806928334, + 943238213, + 285518270, + 481445966, + 318078051, + 950980460, + 718422139, + 140108202, + 794006176, + 245252443, + 465136378, + 680181836, + 477929664, + 316579067, + 854371076, + 321414839, + 17700762, + 16408800, + 691948880, + 412827872, + 224778154, + 474907217, + 271227144, + 839429554, + 166326684, + 318904342, + 607894826, + 128918784, + 504844822, + 263628223, + 798306374, + 982777833, + 544934058, + 109100343, + 308419483, + 65305083, + 747110157, + 241876360, + 138328203, + 64527473, + 996606751, + 466036867, + 105341835, + 607336865, + 610397061, + 536506380, + 916148715, + 712623038, + 317971675, + 66178585, + 975227262, + 971884423, + 260482022, + 929041781, + 172666494, + 128979462, + 952743659, + 546369495, + 968666262, + 190772628, + 592305700, + 36608007, + 252862205, + 403710188, + 830991188, + 247670400, + 540238133, + 478799614, + 121339973, + 487504370, + 853917198, + 33756563, + 361211150, + 955317848, + 982057642, + 929985389, + 719821202, + 966852668, + 854518984, + 44072911, + 113099323, + 489122972, + 564888685, + 782228354, + 316941843, + 967587793, + 176094958, + 972061015, + 286448925, + 878827714, + 601165015, + 79012603, + 608884782, + 568444368, + 370316526, + 403886558, + 47473938, + 233041528, + 290603434, + 884774420, + 190565495, + 891557315, + 18294026, + 324295655, + 717088952, + 145845242, + 184190531, + 258272085, + 518258612, + 665321656, + 505198860, + 789908896, + 725918546, + 831706171, + 49662920, + 332359094, + 399589219, + 995901752, + 400797353, + 279087721, + 736899154, + 242414293, + 188850743, + 967181857, + 3566564, + 869418591, + 385828372, + 559465968, + 384074028, + 217187641, + 754213738, + 301996045, + 901926994, + 368159305, + 86644611, + 481383651, + 545833600, + 634039019, + 165021260, + 680472418, + 823426663, + 804756391, + 483951822, + 883605273, + 671903498, + 406103228, + 340279543, + 291165199, + 328358375, + 730959671, + 981669752, + 783065460, + 835459869, + 625918879, + 451260650, + 560399166, + 978114792, + 96547748, + 397797194, + 336190163, + 692959665, + 432027731, + 135333392, + 369624994, + 219280228, + 781754273, + 300980847, + 327819310, + 386250264, + 349925829, + 397786077, + 23595725, + 214821763, + 930579782, + 961827542, + 417158549, + 757115662, + 475619185, + 66143066, + 223493609, + 820039299, + 229484430, + 863784690, + 280923827, + 162130527, + 905033864, + 422369748, + 644068477, + 785057358, + 885379637, + 646477182, + 418656779, + 505056782, + 727053873, + 259226312, + 972453671, + 117645710, + 382508016, + 771973663, + 968666011, + 847467700, + 913904976, + 183329339, + 450162823, + 46566130, + 699623814, + 332717611, + 429775125, + 534492651, + 962391879, + 443231580, + 258986803, + 381592242, + 425043963, + 380220176, + 767203673, + 538467676, + 586131243, + 697520864, + 7568165, + 229823841, + 902381948, + 101302039, + 685515168, + 473475665, + 201713009, + 254193721, + 123586217, + 41439893, + 965066407, + 899403604, + 996800382, + 109383056, + 158585220, + 813868937, + 65000896, + 764458233, + 197973089, + 893565574, + 370933566, + 644033819, + 853856107, + 204819348, + 676506848, + 811855744, + 194554913, + 446421233, + 842016569, + 568974301, + 72574602, + 853763096, + 785951003, + 145650361, + 128736890, + 929902038, + 957090421, + 558068622, + 606498352, + 56944947, + 16347504, + 641463994, + 623693696, + 764936442, + 206148511, + 712168923, + 57965818, + 51072578, + 30702425, + 576003802, + 889902327, + 604780073, + 662487020, + 983447369, + 743171873, + 759313901, + 50280522, + 801558525, + 947491471, + 981984837, + 241357782, + 963287805, + 435647602, + 458131266, + 373349702, + 610583246, + 699352491, + 491475352, + 417383272, + 804799465, + 236137423, + 452141692, + 969126621, + 502606981, + 584458011, + 694353581, + 329123065, + 413968878, + 370580720, + 266740800, + 688378977, + 290283256, + 901799705, + 861701845, + 609179885, + 312462770, + 150499657, + 41495472, + 681706504, + 998810702, + 960418947, + 630022640, + 204907115, + 262648082, + 959257353, + 613662887, + 272117135, + 415292654, + 41904193, + 822169368, + 273788879, + 723468938, + 756079640, + 681147777, + 909467445, + 55303267, + 566432645, + 301657081, + 890620444, + 852725669, + 272074481, + 898442665, + 358730533, + 632984774, + 669655580, + 437799276, + 442864874, + 724657594, + 81642203, + 295212280, + 704714265, + 528250379, + 468658748, + 319485637, + 289109633, + 420826795, + 802571131, + 333089160, + 9105168, + 121804180, + 277349377, + 809611190, + 637825551, + 810155749, + 781244279, + 708121069, + 74844781, + 85845403, + 174947523, + 813995491, + 554729, + 487724406, + 969261886, + 910070813, + 315810447, + 575859816, + 259540544, + 339189421, + 794153639, + 725332850, + 741959802, + 874531680, + 625018533, + 807923706, + 1016939, + 814599856, + 662249010, + 422331290, + 388845287, + 45597134, + 318055390, + 520227459, + 375860611, + 279796235, + 148019281, + 954531613, + 186203250, + 154620612, + 731086901, + 331526642, + 40212927, + 517139381, + 313868984, + 622852872, + 301699838, + 959898776, + 81775147, + 716305797, + 91445233, + 231891111, + 437569795, + 650094342, + 25865053, + 252697830, + 279844433, + 865882161, + 305677417, + 972107840, + 839714624, + 756774902, + 663867140, + 236186007, + 513125379, + 813287956, + 909221992, + 996396975, + 458162908, + 478669916, + 944980147, + 229426540, + 338406906, + 116339799, + 932287331, + 598131187, + 739367745, + 998051224, + 159257502, + 197887194, + 930433391, + 250109854, + 300534137, + 387781246, + 172780670, + 995506495, + 194850789, + 13966488, + 653151101, + 529299935, + 785822554, + 376967092, + 983891666, + 910987948, + 37473641, + 750585466, + 719968498, + 952315449, + 30248919, + 915945047, + 79331976, + 6918658, + 524430326, + 307608427, + 40322164, + 828284607, + 410477063, + 491469487, + 575433063, + 901918558, + 866377867, + 694128078, + 398492071, + 662052770, + 61475445, + 13518324, + 234815923, + 936267218, + 383138505, + 472898789, + 345311002, + 474441895, + 299912571, + 298349142, + 459152484, + 798739868, + 74894701, + 601682776, + 48847280, + 262229010, + 626968119, + 280091036, + 888899825, + 848751558, + 947289800, + 493773485, + 103011530, + 193019276, + 273733572, + 211990864, + 152009458, + 895425003, + 629915013, + 848564795, + 41479083, + 595616871, + 75526163, + 127211841, + 991549626, + 136486090, + 783914822, + 19212538, + 334961074, + 389126353, + 739634777, + 286679433, + 221771713, + 353811064, + 538694278, + 349012859, + 601934822, + 319401303, + 872350995, + 948077345, + 780690008, + 63767061, + 687514777, + 262571454, + 540191404, + 427269317, + 407805, + 521770570, + 238985751, + 632981337, + 191894833, + 954183090, + 626556382, + 612561129, + 486447371, + 325705168, + 211887440, + 161272634, + 863360122, + 925808813, + 907724102, + 664364632, + 621258355, + 689738325, + 970390749, + 289107741, + 968907607, + 386664108, + 324407786, + 189214202, + 94612769, + 593540865, + 818396722, + 254777408, + 66691030, + 834792830, + 966296331, + 173098037, + 303149574, + 561165641, + 661186855, + 841073977, + 667171481, + 781289985, + 299363357, + 51022632, + 202052501, + 26016979, + 578175746, + 145430618, + 652713007, + 471261297, + 772450324, + 784999729, + 577988244, + 67890273, + 741389201, + 118465541, + 6050095, + 342625702, + 919884813, + 253709131, + 406017492, + 845663064, + 642741056, + 657956728, + 163205371, + 959937828, + 700319548, + 851518414, + 600022558, + 59707662, + 900916714, + 304155974, + 186408548, + 447687211, + 38917455, + 667434628, + 827202270, + 394995313, + 887970090, + 496729829, + 913606802, + 774537916, + 243516441, + 288139983, + 648316709, + 874569150, + 12359921, + 258576758, + 10470075, + 142644236, + 751349131, + 789374808, + 583619371, + 28855486, + 755680848, + 482495919, + 858044358, + 965621204, + 463665465, + 160139927, + 254576513, + 3137613, + 682370755, + 863651484, + 254083707, + 606659902, + 124617064, + 526697937, + 415206917, + 927615905, + 345783120, + 406155363, + 88667915, + 564652937, + 452668074, + 178281423, + 648198353, + 43755348, + 619453515, + 52059752, + 597836585, + 769189848, + 612453815, + 598885316, + 225595299, + 432050619, + 86706456, + 156089499, + 780935774, + 735331951, + 464717825, + 235545049, + 904783686, + 712028198, + 260692842, + 98425338, + 708548297, + 539306974, + 183093098, + 876238134, + 273623239, + 268052704, + 402230585, + 295585367, + 136393737, + 159430223, + 838742875, + 66136179, + 865967320, + 128902827, + 393184743, + 271261920, + 847771598, + 422915902, + 309622271, + 823500218, + 750431417, + 555225771, + 535173550, + 187718294, + 540873787, + 36188775, + 627630638, + 698226492, + 771685991, + 180591225, + 253185367, + 663333008, + 934005090, + 989720905, + 397568532, + 332281166, + 323438160, + 590369488, + 701385518, + 125043879, + 100763482, + 740685005, + 174968061, + 193406147, + 782576920, + 425146376, + 57774011, + 801434431, + 259065302, + 998444973, + 531249774, + 79513070, + 460945026, + 386023741, + 308675594, + 624033198, + 288844530, + 223862878, + 767285952, + 775848095, + 760544423, + 149206424, + 653926693, + 806088, + 973654478, + 356310954, + 310683711, + 552031652, + 657320302, + 502172167, + 317078379, + 912043267, + 426454236, + 1525211, + 972505356, + 123243739, + 305733203, + 302837337, + 112216714, + 478046820, + 811350688, + 346440555, + 880333732, + 88600295, + 214354380, + 752630263, + 476239915, + 369268847, + 109018340, + 937609199, + 216510085, + 70779970, + 912585285, + 555923233, + 244378232, + 580137846, + 428237395, + 131250989, + 542770151, + 528765499, + 257549549, + 279480697, + 361350456, + 569874965, + 778742353, + 131198130, + 220391377, + 890988791, + 266179110, + 757366602, + 894525444, + 632264883, + 976996481, + 34168160, + 770666346, + 14913825, + 699198648, + 145539675, + 347831319, + 387549936, + 360171497, + 704466824, + 369032493, + 525472286, + 655311528, + 13831945, + 477525173, + 72688342, + 430823182, + 399852477, + 151427728, + 90651225, + 237114877, + 738051275, + 339214329, + 882866547, + 260578702, + 52265072, + 438937738, + 465177540, + 476887776, + 685094257, + 209749737, + 597179396, + 588413973, + 151115073, + 571344897, + 193458025, + 740492759, + 982231666, + 598757068, + 335058294, + 875262949, + 972568489, + 357178756, + 909058372, + 998165642, + 95450196, + 954093196, + 507210548, + 826485751, + 507555160, + 882023761, + 946059965, + 335671275, + 57747441, + 679491626, + 260964931, + 619028054, + 765488126, + 793672520, + 265282067, + 211080148, + 228306876, + 855969708, + 97210537, + 628871705, + 458519333, + 446815272, + 940666410, + 530840423, + 275928775, + 861687702, + 516814285, + 532619015, + 176372071, + 31622202, + 69014999, + 494778071, + 518374110, + 818922717, + 335125010, + 324754357, + 249928610, + 397269981, + 957760055, + 59590883, + 980538640, + 169766809, + 478549851, + 742793553, + 272172360, + 817652701, + 378450331, + 314452383, + 212632586, + 370032194, + 862925085, + 839775596, + 401038312, + 765882590, + 25165547, + 409081185, + 758717854, + 29323144, + 802113406, + 619335348, + 670187597, + 432992764, + 842300893, + 451190819, + 543777190, + 955899663, + 167468838, + 911305454, + 943898810, + 429047069, + 870305674, + 108945073, + 375917020, + 157236084, + 269449257, + 509246236, + 623982958, + 152174729, + 214323077, + 326196592, + 160257757, + 347196106, + 427685579, + 101980047, + 148361038, + 162482083, + 397455571, + 656528552, + 337869993, + 332644833, + 951987822, + 159756238, + 911309883, + 445389380, + 53561727, + 389885080, + 892891025, + 615089903, + 397677586, + 826739378, + 597832725, + 820872628, + 92304719, + 974260177, + 188145987, + 496908853, + 652170816, + 442522275, + 135927893, + 78123716, + 184120078, + 184137826, + 933891864, + 154815712, + 976529142, + 996029324, + 364254469, + 439608844, + 813275602, + 402508956, + 93046189, + 398679305, + 185801436, + 212295926, + 439035545, + 347505648, + 983238079, + 531951038, + 891923807, + 374326942, + 15383427, + 269669111, + 253280873, + 743917086, + 24854336, + 937583156, + 413136149, + 605154802, + 676774715, + 234441052, + 377327301, + 116490810, + 324311745, + 274836385, + 459002617, + 642516882, + 551396111, + 999882622, + 68450921, + 1175391, + 993786840, + 466454106, + 632627337, + 677853710, + 46385419, + 766606653, + 554175716, + 195409438, + 800676227, + 998397981, + 603943619, + 455388781, + 796053487, + 74531244, + 750692148, + 527969567, + 15571312, + 675420846, + 547105516, + 614303552, + 867181126, + 118961158, + 254387999, + 997958504, + 141355567, + 792788923, + 195849658, + 139015753, + 186702814, + 917327862, + 657267424, + 957504120, + 791970733, + 391916529, + 104634974, + 21408071, + 882177415, + 639306152, + 85771927, + 145946594, + 502658797, + 84541966, + 6037049, + 607214057, + 892819474, + 381942649, + 567045503, + 982239196, + 536589177, + 413343240, + 646834247, + 952516105, + 815609737, + 73110969, + 32844520, + 690559674, + 485839152, + 270935012, + 837605968, + 930228322, + 648048461, + 262494, + 59563011, + 155651427, + 602871424, + 271981151, + 341302491, + 393093646, + 347279617, + 780965491, + 407384524, + 371554884, + 98929662, + 461255312, + 978259876, + 480744698, + 224461704, + 435067194, + 887615803, + 567271624, + 803306762, + 665097394, + 673323885, + 836951559, + 680647204, + 682723396, + 558406523, + 947807862, + 950256734, + 674056879, + 279729097, + 839146595, + 98739001, + 556215231, + 481665717, + 693320682, + 756390517, + 243299690, + 657060868, + 884378811, + 524717438, + 452407484, + 58830953, + 300892817, + 237906350, + 195229497, + 803119766, + 655150059, + 941488260, + 358730238, + 371764031, + 832355827, + 23839303, + 207738227, + 16373697, + 182385232, + 380362034, + 512306434, + 894095701, + 567218130, + 192638973, + 197385856, + 242273426, + 422060930, + 927336265, + 882999313, + 85163850, + 90610765, + 33516238, + 776923674, + 671945613, + 767518373, + 860734720, + 513009892, + 472622396, + 819011033, + 211774526, + 855935661, + 421296735, + 54833051, + 1416094, + 509163150, + 50750086, + 339376333, + 365461760, + 591744996, + 442439639, + 587598543, + 160213172, + 34913210, + 249568549, + 914294680, + 894468449, + 837470852, + 494512780, + 560807828, + 276349974, + 260858355, + 544586482, + 624530253, + 849676050, + 35894795, + 427983737, + 634172670, + 273198955, + 461621948, + 113624766, + 205576139, + 782246301, + 757272230, + 842899237, + 905693435, + 700009439, + 591057257, + 189436606, + 641184817, + 587002957, + 463527400, + 403404023, + 402230310, + 38604363, + 262577276, + 405489435, + 357904488, + 993262554, + 865360593, + 491408058, + 876957195, + 311669384, + 136847160, + 574403364, + 180979520, + 987273841, + 222568585, + 699944150, + 21794238, + 895981287, + 680683489, + 488202442, + 136390356, + 536222139, + 65700491, + 78705970, + 554264708, + 800700778, + 877949733, + 936619470, + 591954633, + 79930816, + 232205499, + 37931336, + 179217025, + 305784357, + 196364163, + 935032428, + 552372894, + 509841874, + 711591431, + 996630040, + 642916, + 198447071, + 915387142, + 385230643, + 426677354, + 179661606, + 666228106, + 281381972, + 21429528, + 2191402, + 295070217, + 607871566, + 521848641, + 275787847, + 653311201, + 648284498, + 967871972, + 903775523, + 105354847, + 569100761, + 822251904, + 275538852, + 817375763, + 572291096, + 118333166, + 608263793, + 498534249, + 919601492, + 471522834, + 259782980, + 334129544, + 456851834, + 516704059, + 471048481, + 126884638, + 30081818, + 558935040, + 583999555, + 61163733, + 951959983, + 878291251, + 499057382, + 343314917, + 994473755, + 764749508, + 83074152, + 255800380, + 838086053, + 778110962, + 998662202, + 417771902, + 827436248, + 445301100, + 271108584, + 958805228, + 913987415, + 249598684, + 555368814, + 126805845, + 311277480, + 73260345, + 925419810, + 165617237, + 667438706, + 773770039, + 337277232, + 831108292, + 454416114, + 874855177, + 441074449, + 906486196, + 782284609, + 295082215, + 190072540, + 121569484, + 496608056, + 642677391, + 512247467, + 873809389, + 786633911, + 102873144, + 741263564, + 769060751, + 627628656, + 139637891, + 741475920, + 426381493, + 762813552, + 394760846, + 593805238, + 691291458, + 513182619, + 327390967, + 816275818, + 462583724, + 421047168, + 4215878, + 21775094, + 532928014, + 349426192, + 970410167, + 188617352, + 817169677, + 688570103, + 718024792, + 282214936, + 317892068, + 114773345, + 583410508, + 739470781, + 94259673, + 222912358, + 738351720, + 539132037, + 39110660, + 313825975, + 111631432, + 930240694, + 799716896, + 37829409, + 90700055, + 765040251, + 202940178, + 31774394, + 843145447, + 53574577, + 613865045, + 170916701, + 740673169, + 66242574, + 447994721, + 154332620, + 241825115, + 221628267, + 42426927, + 295021729, + 187970787, + 199337830, + 511017251, + 609990874, + 187911787, + 584799814, + 306857594, + 18098904, + 642531198, + 779530001, + 122663809, + 945498313, + 358155409, + 388933963, + 280750065, + 453524674, + 361745865, + 311474775, + 21450966, + 400540171, + 945495115, + 466756739, + 334373940, + 12551322, + 831392833, + 766253952, + 69538398, + 858018825, + 449528783, + 947166417, + 49062715, + 957112193, + 428920544, + 723426839, + 505318870, + 836263110, + 861684657, + 34751022, + 548529387, + 108983646, + 251654221, + 497438877, + 378555567, + 599603889, + 686154590, + 201411534, + 273011910, + 38224192, + 778627463, + 782893383, + 661223512, + 246845715, + 621158987, + 120250031, + 38693343, + 418418530, + 265971666, + 734449581, + 465850256, + 429076292, + 552575684, + 747114073, + 655379359, + 978748955, + 344425978, + 641850087, + 878812392, + 460399252, + 504818791, + 939041896, + 530873458, + 571966528, + 947544044, + 397643361, + 889040140, + 827855632, + 107802721, + 137555469, + 375116253, + 226267054, + 361691180, + 630946265, + 295389486, + 875708036, + 321513361, + 616054935, + 161133240, + 61648419, + 725988549, + 813232915, + 652535669, + 365046239, + 897259434, + 959336119, + 328361321, + 396973885, + 71397766, + 581117480, + 489869662, + 460992716, + 917971209, + 51184201, + 690159198, + 940767627, + 973124740, + 265477103, + 56609201, + 469731120, + 967549345, + 977409499, + 30294318, + 796423675, + 70708268, + 104452036, + 121343816, + 940465673, + 625350932, + 797652177, + 109187462, + 746373726, + 705459831, + 80487522, + 855767497, + 942139863, + 568910441, + 895048574, + 700590502, + 415404273, + 252217289, + 94055450, + 874235040, + 122183486, + 968016460, + 968614878, + 828691592, + 254812248, + 523490646, + 130727131, + 459286199, + 309967067, + 833390190, + 220402695, + 511094645, + 220300093, + 268174725, + 215845968, + 488623676, + 389256368, + 138136913, + 836426446, + 275077522, + 264633042, + 858862295, + 915566835, + 214320683, + 349513725, + 86088675, + 526247205, + 1700558, + 893993001, + 841981939, + 715256704, + 140563385, + 631019443, + 698068815, + 231899014, + 111686518, + 199655514, + 540424465, + 531214798, + 267882778, + 784866455, + 799347117, + 353588410, + 971786551, + 156430187, + 565553809, + 881876002, + 331880225, + 874832854, + 511205301, + 562763196, + 923845265, + 330271805, + 60322815, + 62502709, + 122414205, + 632820266, + 405262634, + 425725055, + 896024188, + 348400951, + 470749323, + 976671021, + 824936190, + 939001425, + 701367300, + 112163366, + 933483820, + 971535286, + 283400354, + 233196847, + 403610942, + 219204911, + 71500414, + 848345305, + 352782827, + 898523232, + 91443117, + 889609617, + 565883503, + 448977602, + 118249615, + 808569208, + 625833554, + 127672920, + 784729794, + 644993716, + 810757642, + 512950813, + 519619492, + 8568259, + 887384931, + 231353434, + 922985111, + 747386311, + 809094756, + 911512113, + 759298643, + 46077263, + 929973819, + 499857545, + 691351502, + 678348757, + 536348909, + 491359820, + 351274326, + 789957387, + 409753268, + 844615730, + 91931982, + 838875162, + 257831421, + 386366850, + 494492965, + 883904471, + 388612395, + 828568935, + 521117244, + 434355759, + 78218608, + 98904475, + 91001285, + 163101649, + 774830410, + 825536780, + 473268970, + 886616187, + 44585408, + 672761234, + 531154845, + 971312894, + 42201937, + 374104877, + 217729653, + 130610711, + 781051513, + 637073473, + 164601516, + 976702498, + 79686152, + 296832558, + 510366757, + 927991689, + 385958478, + 371563135, + 786213492, + 711428392, + 210238491, + 13745017, + 217103950, + 820921427, + 217787485, + 380017179, + 347828973, + 439541232, + 503462259, + 456307830, + 416940005, + 426211136, + 326200475, + 177568034, + 967198783, + 114296696, + 957169224, + 293349105, + 747394558, + 154211810, + 62410548, + 806143565, + 52332520, + 377130911, + 977261652, + 435871599, + 407508034, + 73674120, + 139382365, + 148706460, + 879606220, + 797879289, + 156369444, + 339462214, + 523028992, + 324632342, + 464689503, + 197567132, + 58905185, + 421193436, + 796330951, + 982358570, + 310473646, + 265066471, + 287988234, + 291864971, + 315960951, + 366067801, + 506497255, + 547385666, + 971493023, + 338560962, + 122370536, + 959160777, + 357941253, + 9434272, + 830153306, + 859341283, + 937973251, + 49370531, + 521893201, + 903786626, + 790399646, + 894276400, + 903222513, + 685799357, + 358065184, + 181291136, + 774917506, + 885888507, + 224879640, + 627205562, + 825355570, + 293006912, + 360617824, + 423386310, + 722949994, + 474239002, + 587027227, + 73018378, + 527152439, + 2364845, + 300887166, + 763586731, + 539088422, + 915295637, + 778943620, + 211892412, + 261581172, + 780254877, + 73258932, + 833103048, + 807528799, + 788659340, + 745015038, + 175249943, + 567118538, + 848857792, + 15861337, + 872461336, + 554173529, + 60780917, + 903022017, + 730173290, + 911355463, + 369478815, + 135315569, + 913642887, + 561167237, + 414861934, + 838117083, + 558130852, + 888336283, + 964857226, + 670688658, + 603097383, + 822444638, + 730055488, + 890136457, + 321344697, + 594520233, + 614676708, + 684584794, + 450172507, + 759647440, + 795300852, + 496345923, + 23434402, + 171265437, + 696471192, + 484926459, + 130474058, + 886921116, + 978962903, + 75304233, + 83144210, + 632235419, + 91052314, + 750626304, + 305613920, + 552055828, + 844058303, + 638360532, + 844024437, + 725493496, + 152620754, + 388529120, + 379227534, + 537023216, + 881387373, + 51382411, + 179635836, + 213610630, + 544049700, + 986548874, + 373327268, + 740298135, + 487360185, + 356946053, + 973810594, + 575704981, + 372815408, + 837954179, + 888163710, + 859437700, + 439957356, + 379186882, + 425572734, + 17151186, + 471190295, + 807741660, + 878693668, + 530412915, + 321590759, + 568236824, + 250190458, + 955609897, + 611008215, + 92361195, + 164029717, + 73685446, + 66523665, + 506137498, + 402586347, + 818453749, + 513730788, + 425844930, + 581093945, + 186626107, + 881906527, + 572206979, + 953820917, + 218623244, + 667593159, + 730230499, + 82022003, + 276863138, + 259288238, + 871562639, + 309774004, + 901574227, + 272803967, + 986094813, + 313719478, + 563782200, + 550321319, + 974926430, + 51565918, + 680528207, + 598928758, + 954879289, + 454367651, + 89217175, + 426272620, + 528609468, + 356339537, + 882946011, + 541155220, + 910403347, + 679182531, + 789987651, + 769268709, + 545586281, + 260932373, + 953901399, + 614243501, + 265665124, + 522158120, + 93508886, + 217809415, + 373690731, + 59394985, + 322524431, + 218070480, + 348413551, + 190872799, + 795741345, + 18304232, + 30981280, + 161186209, + 93764158, + 742293354, + 231016397, + 660996306, + 879905982, + 295603817, + 803417050, + 800257962, + 645705994, + 51662926, + 489770883, + 348800998, + 162219632, + 306283154, + 993959005, + 458172277, + 292681888, + 621100450, + 55953959, + 277770324, + 768080358, + 388918303, + 508635529, + 147204371, + 653757323, + 608212216, + 488155246, + 905442431, + 269819737, + 348135643, + 802721705, + 727538620, + 838869694, + 768846325, + 72705567, + 2917271, + 156586064, + 558767351, + 46099501, + 73129814, + 201208153, + 319867050, + 668413395, + 149807342, + 167762847, + 580923731, + 51579738, + 483011118, + 729358604, + 878049390, + 35995329, + 633140146, + 961892000, + 557871030, + 178741044, + 700471875, + 679023190, + 484157946, + 698010337, + 900991985, + 109342881, + 874920003, + 238435832, + 851197205, + 315562463, + 618815599, + 107603440, + 916956036, + 740141927, + 114643909, + 568596525, + 134475127, + 449056364, + 382120449, + 979201285, + 150289259, + 170928417, + 459364641, + 385272422, + 176618349, + 901332432, + 251464096, + 606114608, + 78948602, + 675737703, + 586291298, + 318184509, + 201557694, + 627171010, + 981175079, + 942875884, + 79112814, + 11126652, + 220746187, + 860661751, + 535105527, + 285652218, + 924014055, + 886913577, + 651521984, + 487467879, + 860854605, + 208189453, + 514330753, + 282248253, + 346498262, + 899115750, + 964797665, + 80112349, + 56718332, + 241434680, + 390615064, + 15992928, + 768775700, + 771453997, + 730314942, + 187806076, + 127859046, + 579982129, + 999035537, + 284408078, + 486947377, + 265189729, + 245302679, + 582234386, + 152215567, + 93626834, + 20140945, + 253066060, + 781417035, + 722912618, + 510676540, + 700434291, + 265335267, + 80019467, + 138137745, + 786921628, + 855442313, + 545371378, + 966986296, + 43926316, + 965220069, + 834131258, + 694586307, + 955270213, + 64571830, + 428858967, + 714250637, + 875937365, + 721103773, + 743266500, + 410974686, + 841738982, + 721718392, + 192532226, + 281722487, + 980628386, + 308122101, + 346455837, + 974901010, + 871585719, + 403486615, + 288011484, + 602675127, + 502159124, + 428156069, + 161132354, + 281841246, + 108137019, + 799048156, + 181804317, + 56058428, + 760466481, + 863672379, + 570422177, + 535651742, + 940764013, + 73742745, + 46691152, + 767431245, + 75782565, + 580992610, + 235798661, + 528362502, + 361433951, + 810916148, + 503718636, + 147124920, + 784609103, + 250773233, + 358579612, + 136893555, + 290762904, + 539894506, + 356827242, + 468478938, + 234308605, + 764451582, + 414990687, + 359103975, + 607817419, + 828868724, + 625332183, + 746125268, + 847896215, + 249649446, + 738693481, + 307223826, + 900080935, + 371915368, + 19934399, + 459081657, + 122924506, + 981916796, + 779833178, + 972858689, + 666949399, + 358396149, + 985306500, + 642696770, + 702670415, + 159745706, + 907509139, + 773432631, + 38103458, + 239809570, + 851530440, + 405843614, + 251018626, + 661928953, + 926050372, + 957056330, + 959840395, + 323285397, + 924207971, + 992726456, + 138495836, + 452156222, + 67332393, + 765743835, + 111967099, + 342543530, + 40394068, + 441185389, + 838389071, + 818485865, + 627680886, + 30537274, + 955600892, + 916053492, + 27102407, + 823045200, + 826881383, + 774023529, + 250054422, + 494135371, + 695497413, + 275728531, + 222546046, + 423641123, + 422697817, + 870331817, + 129090800, + 710165049, + 314261885, + 85657099, + 278457417, + 631018571, + 527536213, + 167710262, + 297061627, + 595658186, + 906356203, + 996739817, + 774718967, + 569092555, + 917124190, + 985872029, + 37854163, + 597885816, + 76105975, + 425232593, + 114620617, + 496361983, + 845543834, + 213834730, + 772362164, + 940157357, + 457095306, + 875201413, + 949362426, + 619157958, + 983650259, + 918155649, + 414114875, + 446099734, + 229926358, + 618805821, + 681785499, + 680434040, + 303063948, + 518379601, + 23957944, + 935436813, + 400803950, + 727262787, + 855642325, + 426244346, + 244149962, + 899581461, + 416922029, + 15130327, + 954137168, + 196215227, + 216069713, + 285011004, + 716815089, + 759246963, + 141993273, + 603497766, + 689237214, + 198417373, + 630592492, + 709464828, + 387786543, + 373690973, + 388099666, + 601225061, + 242444525, + 79697603, + 850145602, + 919992347, + 473272416, + 129208382, + 669091583, + 199905613, + 165914039, + 950787160, + 456444556, + 298768092, + 891239943, + 871414129, + 873923941, + 217453204, + 934666286, + 730565127, + 748390764, + 904593166, + 671477325, + 751173496, + 31455102, + 913359282, + 563702548, + 763312441, + 636497600, + 443242973, + 407868989, + 801959305, + 357268029, + 785182063, + 776929735, + 245163613, + 53463168, + 729059770, + 844784893, + 982897964, + 916042548, + 684234056, + 750295903, + 454213989, + 958557996, + 704123155, + 124773408, + 747789678, + 624361752, + 203383649, + 266160873, + 532074552, + 866449339, + 196304148, + 695132716, + 877603942, + 125601734, + 349087002, + 164475724, + 738651033, + 673671540, + 146685989, + 336102161, + 817918988, + 759423881, + 898490938, + 267782873, + 349207092, + 409959242, + 174903716, + 875233705, + 644587668, + 107258446, + 807970494, + 575098468, + 567864876, + 814860164, + 812145023, + 73361276, + 128302090, + 582760503, + 64362997, + 293161538, + 420446532, + 753739370, + 749024856, + 440921868, + 695372138, + 530355028, + 137157144, + 299698708, + 304762186, + 266852379, + 259997081, + 335960596, + 295651483, + 75748580, + 813995633, + 624583780, + 458780768, + 704058007, + 967918318, + 976948501, + 345235104, + 580762717, + 887268490, + 621596015, + 910128015, + 501969879, + 334591172, + 56951730, + 486417821, + 879739185, + 228912463, + 507461977, + 268337507, + 822948650, + 88344354, + 292151959, + 579711582, + 645640875, + 522205658, + 69453717, + 842341659, + 839432720, + 858159750, + 962943188, + 658785855, + 791738287, + 460820562, + 442121645, + 833144297, + 915682199, + 157243110, + 698488400, + 757297069, + 969228484, + 634692983, + 662470068, + 766095008, + 99762503, + 568209873, + 873156079, + 966679164, + 274972511, + 999935604, + 421388279, + 284330122, + 364007550, + 148652805, + 690492643, + 84045000, + 393911307, + 147335081, + 55893709, + 779866591, + 513227205, + 802840675, + 345469386, + 849948576, + 67455147, + 793223988, + 440569200, + 414141978, + 192138225, + 694196607, + 809634686, + 226721255, + 6937929, + 477953755, + 320585254, + 584216582, + 381489894, + 504128766, + 142182045, + 293374683, + 75852730, + 765165325, + 173790671, + 24148504, + 381907510, + 738301828, + 77301592, + 263544094, + 600167459, + 441423330, + 472756510, + 438669301, + 700297566, + 332243535, + 838404631, + 605435919, + 297760252, + 871143030, + 760575336, + 749352903, + 283154789, + 530354052, + 597474318, + 768482466, + 457816017, + 785962416, + 512252352, + 739598308, + 761673790, + 211464485, + 364803929, + 659785789, + 216530272, + 308039663, + 72328488, + 656539167, + 515927222, + 275505151, + 476315414, + 438508579, + 262836591, + 889507418, + 21718498, + 170484470, + 422706660, + 234801896, + 252382185, + 509700794, + 56092078, + 783411558, + 471942916, + 488673025, + 306752017, + 495392329, + 933541945, + 995722700, + 81166867, + 94300972, + 416010790, + 491799027, + 486566568, + 333195311, + 788569734, + 213384988, + 628689339, + 362965631, + 209614483, + 736342462, + 61918932, + 42407847, + 387070428, + 684670516, + 708537529, + 691427860, + 972576235, + 460882302, + 135671169, + 678579303, + 526400524, + 82332336, + 228285408, + 421089488, + 530519348, + 35126611, + 799392197, + 385903608, + 165481988, + 347953446, + 923532436, + 433558842, + 37265955, + 945262965, + 587945162, + 543777200, + 384142225, + 214670210, + 234138698, + 260372135, + 11357265, + 675280704, + 888239589, + 146709428, + 727397867, + 356139670, + 296787824, + 432853592, + 214221713, + 581773141, + 689508395, + 882785628, + 897365028, + 965669867, + 618288713, + 784103326, + 987054639, + 691301706, + 280974678, + 467670, + 567202589, + 657835403, + 225668959, + 231794114, + 470934033, + 463418767, + 892930146, + 488101996, + 113206014, + 532335697, + 330093615, + 833839900, + 117267457, + 140035313, + 680525048, + 668786912, + 357856772, + 713191217, + 889032634, + 715732963, + 646389460, + 776160849, + 169670459, + 991672330, + 700603581, + 608333509, + 233284725, + 322146922, + 983995544, + 856789200, + 227702190, + 170691724, + 470785192, + 56302081, + 956479399, + 695575446, + 523382368, + 161377338, + 78306686, + 384039744, + 76977749, + 876297715, + 11932850, + 643114007, + 702849735, + 260061758, + 573509928, + 283021639, + 369423428, + 153846276, + 882015393, + 109476902, + 700993311, + 428018306, + 874542293, + 945778675, + 912017653, + 471026903, + 28636787, + 711856860, + 488240871, + 303220911, + 251221550, + 819756752, + 236214049, + 326478346, + 281787335, + 203751404, + 18215784, + 778628237, + 181827839, + 833223129, + 686511336, + 889260557, + 729991206, + 594757393, + 442206721, + 273864083, + 384515331, + 498547703, + 43893904, + 369354027, + 276435734, + 638831430, + 925423903, + 169244447, + 713571854, + 299793714, + 983123116, + 6137572, + 309244051, + 947922421, + 524362359, + 937839278, + 575359983, + 232557369, + 549173814, + 605540478, + 717738697, + 573000968, + 278461952, + 779167530, + 908713614, + 254373222, + 69042323, + 446070331, + 152604039, + 211148618, + 756713835, + 225057605, + 805558514, + 384757371, + 144290779, + 130318371, + 265027278, + 455143480, + 45266602, + 775642009, + 963732204, + 654266367, + 970497697, + 115382794, + 696780322, + 398234479, + 717278431, + 39511188, + 605472602, + 383930491, + 251295223, + 953190711, + 224443665, + 129139683, + 789728038, + 34551920, + 181054167, + 440385937, + 504523438, + 110423967, + 70296556, + 560697036, + 153648088, + 63465732, + 276720061, + 561743072, + 783292620, + 433499438, + 813231545, + 217668702, + 222015669, + 799037663, + 532469458, + 67418169, + 112908703, + 979712956, + 498170560, + 889325879, + 586355132, + 545873908, + 923848961, + 41556268, + 16719790, + 765934070, + 481138422, + 302165970, + 907445460, + 433241265, + 361828344, + 848113380, + 10725932, + 135348035, + 300143467, + 977403649, + 211486864, + 996581724, + 857308411, + 30799664, + 592384025, + 118291046, + 862606361, + 813197625, + 154198508, + 521000208, + 63418145, + 316042241, + 905265785, + 615144761, + 399982377, + 221692047, + 146591014, + 996230327, + 140733252, + 669617502, + 436236718, + 85439385, + 264640272, + 294214873, + 473522066, + 349159543, + 978310929, + 587017871, + 157116111, + 244805985, + 713087973, + 604138936, + 917408935, + 767545133, + 735962944, + 501309183, + 869698117, + 374047213, + 284729114, + 274950670, + 184467706, + 632518228, + 921051614, + 908329701, + 127291830, + 744000609, + 783609542, + 317289750, + 563583281, + 247110221, + 506899775, + 91856877, + 968426730, + 254507513, + 874871206, + 575635127, + 57435169, + 746994297, + 270199279, + 586078303, + 534321245, + 89231316, + 243409389, + 984872695, + 602875687, + 967193641, + 504410790, + 324320432, + 304800220, + 10521796, + 884694599, + 676495875, + 586838365, + 509790815, + 157561197, + 774167141, + 491513562, + 792482408, + 394148935, + 48076889, + 275628373, + 379638863, + 135909169, + 872322060, + 56542370, + 793881914, + 479648044, + 882974572, + 936470318, + 698841280, + 679338441, + 280697003, + 242669991, + 51860054, + 19311647, + 544563396, + 645639294, + 817836345, + 291739587, + 137774091, + 664759485, + 207205472, + 785646140, + 472371166, + 814061619, + 738607318, + 798721454, + 562874834, + 90637655, + 482896215, + 180230722, + 670725360, + 825790750, + 750162303, + 76458241, + 212563156, + 81578370, + 730833567, + 154525275, + 710887944, + 783760398, + 135609983, + 822847829, + 959137681, + 896091487, + 285429755, + 878941490, + 991946966, + 939828831, + 675059043, + 240827909, + 797730460, + 491094367, + 484390208, + 586788685, + 519797221, + 803029456, + 120049921, + 331729630, + 397300202, + 468600471, + 828310349, + 638126999, + 512407676, + 735815049, + 127262936, + 360343240, + 7214375, + 473778287, + 235353321, + 701002453, + 715479638, + 498559607, + 269250768, + 17435562, + 251019353, + 426105364, + 347104312, + 240219577, + 628274267, + 757358261, + 597600425, + 296858682, + 666252098, + 695389094, + 293106674, + 415656122, + 665800058, + 743289643, + 382080907, + 184920043, + 232781552, + 28659416, + 279425793, + 751073673, + 272752149, + 113606357, + 464422580, + 332790942, + 769105564, + 66227382, + 655754767, + 653635143, + 883077510, + 279612181, + 332563529, + 347448883, + 297285810, + 726023510, + 843570161, + 298154159, + 470796295, + 327308944, + 113299238, + 420094140, + 621563499, + 732594414, + 527424672, + 189955811, + 88601537, + 626969880, + 269283967, + 740152930, + 353906394, + 57253165, + 944317805, + 620598263, + 683428048, + 36852308, + 871862030, + 678348288, + 310407690, + 953562020, + 227682529, + 572993318, + 82430002, + 969777815, + 554836885, + 4873418, + 683126130, + 194441563, + 745216479, + 960711940, + 693571409, + 64208011, + 945689679, + 299701949, + 697680525, + 213296897, + 893596671, + 400586138, + 41173684, + 922268205, + 958418171, + 488821749, + 36529135, + 540106555, + 163305597, + 888193507, + 72802106, + 40085557, + 257306459, + 965204803, + 18789935, + 39650900, + 818242382, + 206953651, + 505422039, + 828151969, + 938142662, + 290115927, + 673156181, + 41602560, + 470608759, + 826550194, + 478289274, + 231916019, + 375935944, + 464624252, + 203862981, + 654765651, + 475202611, + 357143587, + 703460680, + 922164684, + 797317963, + 798629850, + 657656608, + 216063806, + 953940252, + 785202388, + 609890670, + 6070761, + 590037797, + 261732383, + 728031156, + 241277287, + 320810213, + 46201245, + 182836601, + 754966506, + 912477679, + 712052485, + 718347636, + 402664349, + 280061965, + 390476070, + 112291771, + 409647473, + 681680536, + 571240716, + 488320887, + 330501527, + 423725809, + 307436782, + 667885754, + 875599826, + 868342507, + 739163591, + 867478879, + 377571395, + 462261459, + 910035125, + 340881623, + 821972217, + 973002933, + 587897458, + 95223618, + 213731211, + 625519532, + 702748071, + 763165112, + 117498976, + 280741451, + 911555769, + 291782621, + 678441732, + 78414036, + 218754310, + 503291170, + 181903682, + 527431509, + 341541936, + 824366369, + 24087331, + 403096850, + 835643270, + 356380095, + 137038296, + 379940473, + 641028920, + 267463118, + 159922152, + 580147292, + 245576907, + 985289324, + 825503700, + 75333101, + 324344277, + 107539347, + 735471268, + 983095077, + 633527988, + 459403618, + 681886098, + 119994641, + 442437245, + 39091298, + 953624636, + 422982958, + 708465168, + 78935680, + 314924579, + 277911085, + 923660822, + 22714294, + 611620744, + 963727647, + 476973023, + 330324835, + 478335574, + 72355991, + 544175411, + 964656943, + 716739422, + 552686247, + 592826379, + 808023158, + 259666800, + 347002052, + 984521898, + 814791516, + 344934666, + 719828517, + 469381415, + 884908741, + 200180287, + 423779896, + 41633238, + 339758222, + 560420792, + 859462956, + 336479717, + 433063522, + 442090958, + 204755917, + 822941177, + 840693411, + 978598224, + 639366865, + 977983683, + 925515878, + 678739322, + 75207901, + 309177706, + 830157283, + 92747617, + 246131952, + 451185842, + 670662922, + 285923176, + 947753495, + 654538696, + 40335675, + 159488505, + 523544064, + 977203358, + 192587577, + 265007352, + 779596339, + 320103439, + 961678983, + 541360377, + 597394538, + 54730152, + 591734791, + 217078181, + 996935610, + 814574403, + 924288531, + 298744802, + 711774921, + 28039273, + 280372620, + 820034597, + 980882203, + 773310834, + 136014992, + 171449411, + 41741132, + 730813893, + 481589193, + 570447133, + 991236757, + 692966948, + 65460580, + 184658084, + 171501287, + 815773176, + 825117500, + 931547129, + 387941744, + 908458727, + 487557708, + 76385657, + 827276764, + 205478515, + 414272069, + 645950877, + 876208898, + 569961692, + 757503587, + 877666335, + 884968386, + 245737184, + 323677992, + 317195208, + 889574872, + 384145786, + 930587285, + 530919159, + 813408878, + 927773635, + 895141725, + 277900575, + 264735404, + 933186467, + 57780251, + 80114404, + 659834834, + 13855452, + 794169414, + 123524600, + 105237100, + 497059383, + 119462424, + 141899200, + 96046910, + 677566679, + 482489122, + 917795144, + 55577609, + 558261741, + 942262253, + 669596670, + 5533979, + 231193661, + 938720988, + 125715452, + 330012465, + 561431792, + 602849400, + 29398540, + 88364399, + 916987529, + 988017263, + 595622798, + 663106284, + 717020886, + 946344088, + 401886877, + 91464655, + 491778803, + 585268694, + 767167093, + 352231945, + 793528015, + 700821486, + 168737843, + 728863788, + 351355858, + 642892016, + 934782279, + 780056996, + 189398410, + 640479396, + 275680174, + 44959867, + 402603064, + 939592466, + 484707834, + 720999673, + 484138750, + 311007072, + 650497665, + 477425697, + 279917251, + 793053232, + 347000982, + 459462237, + 624383496, + 840732695, + 829981890, + 812798015, + 834549047, + 904859071, + 861079068, + 349014573, + 728195373, + 940381353, + 161509916, + 98629444, + 65919379, + 931746946, + 860873110, + 51745688, + 392710988, + 767153449, + 376345771, + 780480140, + 341017321, + 631497010, + 426799303, + 316555344, + 935706066, + 740367913, + 878456862, + 290369023, + 341149647, + 108018899, + 704391065, + 946613030, + 888698675, + 625735641, + 705230057, + 682993926, + 917724882, + 267857696, + 533789043, + 854033932, + 902228283, + 961793006, + 388168134, + 408216414, + 320802404, + 624710290, + 625665173, + 115125988, + 86937866, + 422682070, + 133614559, + 108947940, + 59509483, + 672451663, + 846420237, + 68051314, + 494655172, + 524261551, + 371199610, + 819169902, + 947108113, + 313958922, + 604803634, + 471389148, + 427535663, + 895367576, + 320165536, + 78619523, + 699553733, + 523981013, + 468048896, + 806425190, + 178042814, + 820486486, + 655703874, + 511308259, + 267289904, + 530097822, + 4752455, + 633073694, + 893995653, + 255335811, + 23733245, + 234557039 + ], + "output": 1 + } + ], + "haskell_template": "minimumArrayLength :: [Int] -> Int\nminimumArrayLength nums ", + "ocaml_template": "let minimumArrayLength (nums: int list) : int = ", + "scala_template": "def minimumArrayLength(nums: List[Int]): Int = { \n \n}", + "java_template": "class Solution {\n public int minimumArrayLength(int[] nums) {\n \n }\n}", + "python_template": "class Solution(object):\n def minimumArrayLength(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimize_length_of_array_using_operations/ocaml_tests/main.ml b/minimize_length_of_array_using_operations/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..4801f5389e4f4f4a0ecb6cf6385e0b378766eabb --- /dev/null +++ b/minimize_length_of_array_using_operations/ocaml_tests/main.ml @@ -0,0 +1,45 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let minimumArrayLength (nums: int list) : int = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 1 (minimumArrayLength [1;4;3;1]) + +let test2 _ = assert_equal 2 (minimumArrayLength [5;5;5;10;5]) + +let test3 _ = assert_equal 1 (minimumArrayLength [2;3;4]) + +let test4 _ = assert_equal 1 (minimumArrayLength [7; 5; 3; 2; 4]) + +let test5 _ = assert_equal 1 (minimumArrayLength [65; 7; 5; 67; 75; 39; 34; 13; 48; 65]) + +let test6 _ = assert_equal 1 (minimumArrayLength [895; 535; 66; 348; 458; 823; 698; 558; 55; 155; 340; 252; 115; 433; 59; 14; 610; 890; 533; 305; 356; 823; 380; 965; 881; 252; 489; 852; 562; 171; 990; 976; 28; 82; 820; 192; 275; 618; 79; 752; 504; 720; 519; 115; 507; 255; 298; 86; 108; 417; 437; 935; 371; 704; 962; 333; 487; 478; 640; 203; 94; 709; 269; 173; 375; 538; 488; 101; 986; 899; 58; 543; 167; 701; 212; 226; 671; 562; 728; 969; 733; 647; 825; 117; 968; 364; 434; 161; 311; 623; 615; 717; 482; 945; 313; 134; 520; 390; 499; 756; 614; 454; 987; 129; 155; 523; 544; 935; 130; 885; 89; 338; 423; 950; 933; 949; 40; 644; 769; 272; 236; 873; 337; 211; 349; 930; 253; 499; 788; 843; 632; 330; 257; 333; 47; 843; 914; 490; 939; 721; 733; 44; 898; 192; 528; 306; 260; 358; 95; 424; 804; 496; 973; 322; 391; 664; 257; 147; 684; 389; 803; 326; 15; 697; 140; 105; 929; 316; 310; 56; 726; 583; 954; 388; 452; 416; 446; 112; 200; 134; 495; 232; 361; 915; 538; 199; 853; 771; 562; 868; 342; 936; 276; 770; 120; 108; 28; 474; 903; 772; 962; 728; 340; 928; 671; 889; 13; 263; 589; 916; 476; 501; 310; 501; 879; 538; 806; 864; 769; 409; 838; 198; 81; 755; 166; 476; 824; 461; 182; 231; 171; 669; 643; 689; 513; 745; 357; 217; 784; 583; 195; 810; 42; 133; 645; 28; 334; 245; 155; 27; 352; 139; 982; 943; 211; 217; 775; 182; 924; 443; 984; 265; 96; 24; 668; 987; 77; 825; 685; 705; 209; 132; 20; 891; 50; 498; 383; 473; 917; 151; 177; 451; 692; 725; 393; 666; 771; 215; 862; 451; 11; 998; 158; 714; 467; 918; 771; 340; 359; 838; 889; 253; 534; 263; 38; 323; 717; 331; 125; 182; 656; 155; 668; 505; 91; 341; 157; 393; 234; 343; 296; 970; 608; 521; 111; 310; 606; 908; 208; 660; 477; 596; 202; 821; 250; 469; 593; 753; 320; 806; 503; 892; 471; 148; 253; 146; 634; 165; 555; 103; 268; 570; 531; 1000; 158; 846; 856; 852; 596; 710; 922; 202; 313; 24; 276; 493; 617; 337; 631; 867; 66; 131; 254; 262; 543; 676; 846; 50; 499; 504; 502; 536; 110; 500; 11; 428; 810; 237; 702; 926; 143; 5; 547; 625; 599; 681; 960; 627; 282; 273; 835; 932; 538; 691; 366; 336; 849; 505; 399; 693; 480; 652; 303; 847; 104; 662; 96; 696; 986; 977; 831; 164; 57; 236; 471; 542; 629; 519; 351; 316; 228; 380; 418; 375; 973; 707; 970; 168; 467; 262; 737; 681; 723; 514; 403; 298; 265; 155; 794; 220; 809; 737; 457; 990; 420; 917; 488; 685; 302; 222; 993; 792; 26; 800; 577; 840; 258; 213; 406; 21; 32; 101; 844; 798; 916; 400; 130; 710; 700; 302; 171; 379; 595; 118; 237; 21; 734; 27; 980; 753; 688; 191; 476; 234; 128; 718; 317; 465; 755; 751; 159; 869; 202; 489; 78; 867; 303; 775; 886; 711; 204; 716; 138; 615; 819; 478; 622; 801; 474; 632; 681; 319; 183; 212; 725; 65; 948; 563; 556; 232; 445; 993; 126; 464; 317; 450; 160; 699; 560; 280; 688; 178; 303; 166; 358; 94; 751; 891; 261; 805; 648; 552; 428; 826; 745; 387; 957; 411; 776; 40; 398; 430; 835; 195; 14; 988; 630; 204; 789; 590; 809; 978; 322; 975; 436; 983; 356; 895; 725; 911; 107; 724; 226; 943; 788; 429; 741; 240; 809; 325; 796; 251; 380; 395; 949; 277; 931; 121; 301; 633; 977; 608; 81; 46; 838; 807; 436; 202; 273; 853; 369; 735; 692; 111; 804; 43; 802; 838; 287; 51; 221; 603; 92; 361; 763; 177; 883; 827; 370; 242; 841; 317; 638; 725; 610; 357; 965; 677; 27; 607; 909; 117; 405; 246; 747; 624; 168; 159; 425; 111; 704; 473; 52; 402; 85; 914; 123; 21; 139; 47; 904; 286; 108; 713; 304; 47; 655; 474; 378; 319; 821; 62; 400; 894; 668; 823; 601; 403; 236; 474; 873; 282; 982; 807; 808; 530; 740; 268; 886; 623; 261; 673; 775; 543; 581; 989; 623; 513; 779; 352; 316; 934; 496; 764; 902; 103; 675; 67; 572; 488; 314; 194; 821; 437; 74; 989; 937; 859; 576; 114; 925; 87; 230; 778; 869; 839; 635; 106; 846; 845; 316; 857; 207; 389; 568; 432; 86; 380; 460; 800; 497; 191; 830; 401; 490; 816; 967; 595; 397; 557; 943; 858; 581]) + +let test7 _ = assert_equal 1 (minimumArrayLength [3721; 332; 7193; 3646; 7062; 4704; 6262; 4369; 8052; 3640; 8655; 9043; 7741; 2130; 6761; 2336; 8367; 3725; 8659; 9759; 7038; 9190; 2703; 2665; 9834; 2287; 4351; 4548; 7896; 4637; 1349; 4258; 3135; 8522; 5425; 5142; 7611; 2352; 253; 1118; 6364; 3002; 7801; 9328; 9234; 3367; 5276; 7319; 8683; 3484; 3970; 6919; 2176; 2471; 364; 1819; 4556; 3441; 4405; 5333; 9121; 9598; 7396; 3891; 3406; 6566; 3247; 1505; 6232; 6880; 51; 5129; 223; 1246; 9562; 3930; 1017; 2742; 2720; 4777; 2904; 9647; 9935; 5929; 7279; 5719; 3017; 3390; 1813; 6660; 5491; 1691; 7873; 5277; 2819; 8786; 1767; 5346; 5858; 3338; 8626; 2655; 6228; 8895; 1675; 1206; 5951; 3707; 2932; 7322; 5885; 3241; 5449; 8221; 1581; 4373; 8269; 5770; 8894; 8837; 4469; 5096; 3382; 6760; 6343; 5279; 9948; 2372; 8375; 2186; 1755; 2450; 1478; 9408; 2390; 3334; 8800; 1245; 8366; 9040; 5554; 6115; 6953; 7472; 6612; 1244; 2363; 5153; 301; 9310; 7481; 4678; 432; 115; 5752; 5208; 2822; 5789; 7237; 1747; 9259; 93; 2411; 1715; 9117; 8548; 394; 2942; 534; 2198; 7050; 1824; 4490; 8519; 8164; 464; 8455; 6350; 295; 2861; 9809; 3255; 9852; 1021; 1473; 7377; 4613; 4154; 3717; 5558; 4647; 1693; 2714; 4889; 7559; 5775; 8978; 3702; 5053; 1672; 1938; 7194; 9886; 9711; 2970; 6434; 6504; 191; 5522; 8708; 1000; 7974; 1979; 6675; 5010; 3977; 8214; 4879; 8065; 6687; 9502; 1105; 6808; 6555; 9537; 7782; 3283; 5950; 7207; 5616; 933; 514; 2252; 7454; 5292; 2966; 8707; 2708; 2088; 3167; 5780; 1747; 7271; 8556; 2156; 7239; 2373; 7927; 3431; 3570; 1150; 3465; 7850; 6456; 1145; 957; 2814; 5372; 5526; 309; 8786; 5734; 3298; 6424; 7418; 5994; 2004; 267; 7733; 5212; 4763; 1736; 1815; 8736; 932; 2902; 8421; 5918; 6992; 8636; 9402; 1567; 3372; 5128; 6580; 4384; 7039; 8428; 5260; 4923; 6958; 5491; 5420; 9382; 2853; 6080; 5015; 1897; 7617; 2234; 3158; 1411; 1924; 9699; 9016; 7707; 6567; 5850; 5186; 5709; 1951; 9878; 7080; 5069; 9383; 3971; 3457; 4332; 3645; 1801; 1836; 9526; 3869; 4335; 420; 5348; 8939; 5893; 6172; 6144; 3072; 1704; 4080; 3844; 2178; 7107; 1623; 4292; 1472; 377; 3296; 8048; 3477; 608; 8251; 1846; 4063; 7261; 2319; 6773; 9877; 5562; 5058; 1532; 5628; 9269; 5996; 1361; 8730; 8; 66; 6079; 4460; 3008; 4334; 2242; 9717; 5635; 5921; 1844; 8586; 499; 4982; 622; 3498; 7012; 365; 8242; 2363; 2586; 6650; 1514; 5177; 8146; 9185; 6838; 126; 760; 9382; 6060; 6819; 7205; 8866; 2591; 286; 6712; 1940; 8353; 807; 5656; 7107; 1872; 5451; 9888; 6050; 3907; 909; 8982; 5615; 9370; 6478; 2629; 754; 4789; 618; 6971; 7444; 2599; 3186; 1248; 8325; 5565; 9178; 1336; 3693; 8517; 2727; 1307; 8797; 6481; 5743; 5184; 630; 5311; 4660; 8900; 4322; 1930; 511; 2291; 9566; 8741; 5014; 1417; 1004; 5344; 1118; 9417; 825; 5392; 6059; 4736; 5726; 4647; 9453; 202; 105; 5259; 2146; 8072; 4694; 7243; 8684; 1649; 6915; 5043; 8233; 7728; 3118; 3439; 4844; 5415; 2809; 8213; 4424; 7937; 6095; 3637; 6873; 6479; 8539; 5845; 3051; 617; 3049; 8682; 6335; 3730; 3129; 4138; 5471; 3919; 2510; 3096; 4506; 8595; 3513; 8470; 6369; 9767; 4598; 7650; 9641; 3410; 5166; 8832; 9871; 9705; 9675; 3326; 3087; 1587; 6812; 7939; 5261; 4668; 8735; 4866; 3743; 6946; 2818; 5167; 485; 8669; 146; 9370; 5011; 4708; 7570; 4736; 1314; 6901; 3969; 6798; 9984; 6882; 1793; 5047; 8077; 7969; 7228; 2764; 9659; 667; 7663; 3722; 489; 7990; 1659; 4181; 7494; 7328; 7043; 2686; 750; 1984; 3029; 8772; 5824; 6213; 4841; 4515; 974; 1629; 468; 6518; 1133; 493; 5945; 6211; 2513; 723; 902; 766; 8731; 1987; 8304; 787; 923; 9677; 2607; 2293; 2282; 2596; 1689; 6330; 4214; 9232; 5042; 5525; 2814; 7519; 5598; 8311; 8786; 6205; 9382; 194; 460; 2080; 9092; 9637; 5700; 7583; 3341; 1437; 3303; 8197; 3853; 3693; 7972; 3146; 6784; 9291; 6781; 4443; 3731; 251; 4630; 8826; 3969; 6734; 9650; 9523; 341; 8727; 8115; 9376; 1069; 8542; 163; 5898; 4403; 4569; 5810; 7859; 5892; 8359; 1049; 728; 6797; 2899; 3453; 9771; 2675; 236; 96; 6938; 476; 1531; 9529; 8649; 1206; 5497; 1259; 1151; 6588; 2319; 124; 1680; 6883; 1954; 5494; 4528; 5748; 6323; 5008; 6390; 5290; 1510; 1717; 1253; 1232; 5236; 1213; 8187; 336; 6543; 7564; 2179; 2515; 4802; 6943; 1119; 1288; 7695; 5469; 1118; 3013; 8453; 8659; 3887; 6094; 9437; 2841; 7975; 9693; 6032; 2456; 8563; 6777; 7878; 2520; 8619; 8141; 9689; 5346; 7104; 6452; 569; 1359; 8133; 8374; 9874; 262; 3001; 7337; 2445; 3975; 6833; 6684; 3316; 4359; 2612; 5668; 2961; 3731; 9916; 273; 7389; 1187; 7273; 5754; 4770; 5738; 395; 8794; 2276; 9944; 2270; 676; 4132; 9022; 8505; 5154; 9033; 8402; 5814; 9732; 8794; 5647; 8243; 9204; 2965; 6294; 9588; 2398; 8154; 4278; 6886; 2704; 6124; 6207; 8773; 3867; 6317; 4934; 5202; 1734; 8007; 3011; 4321; 2631; 6594; 2139; 2461; 6001; 9897; 4999; 1542; 7945; 8305; 2752; 6584; 4169; 9190; 5899; 3086; 7877; 9164; 1287; 5016; 1750; 437; 1787; 1429; 1420; 2075; 3000; 3348; 4818; 6608; 4769; 5358; 3544; 6196; 1064; 5019; 9432; 1110; 9171; 6244; 4872; 2861; 2324; 4377; 9491; 8306; 4394; 7267; 1845; 8243; 6938; 4226; 2359; 8881; 1702; 9721; 7838; 5960; 9778; 9590; 5613; 8523; 8062; 9206; 3977; 8718; 6825; 3625; 7399; 5480; 5803; 763; 7941; 4721; 252; 7553; 8254; 1993; 3895; 6747; 7615; 8965; 2657; 7608; 930; 3174; 5835; 9638; 7756; 9776; 976; 2373; 8791; 8781; 8386; 6635; 6356; 6373; 4876; 5659; 7156; 1092; 109; 6155; 9983; 285; 8930; 6971; 125; 2225; 3290; 7793; 923; 150; 1973; 7022; 9586; 3811; 719; 2411; 4354; 3175; 6119; 741; 4896; 4861; 393; 5286; 1375; 5437; 4308; 6448; 3951; 2968; 1104; 9060; 4180; 1490; 9561; 8658; 3197; 6082; 2315; 6076; 9157; 8856; 2488; 9746; 4206; 6865; 9401; 6188; 9111; 9973; 9653; 2706; 3958; 2378; 7155; 260; 9037; 2918; 8491; 393; 8107; 4767; 5090; 8214; 1082; 894; 5579; 457; 1464; 1552; 5568; 6732; 7003; 5075; 482; 9829; 1350; 4768; 3028; 1171; 7996; 5826; 8876; 9053; 3168; 8400; 2056; 2477; 9011; 1540; 19; 14; 5453; 2815; 4677; 9865; 7732; 9566; 302; 5336; 3328; 1358; 4149; 9716; 3951; 7201; 4159; 9985; 6329; 2825; 9731; 3936; 8950; 524; 6386; 3385; 282; 3358; 4444; 5189; 2386; 8722; 5135; 5045; 7141; 1090; 7215; 6310; 4567; 4418; 6466; 5915; 193; 3929; 9539; 342; 4469; 3052; 6143; 6283; 505; 9588; 4842; 7092; 2004; 2152; 7113; 2640; 6931; 4863; 9392; 8803; 9973; 1468; 4850; 3503; 1658; 6624; 5108; 4022; 197; 8813; 554; 1478; 4805; 3075; 306; 2252; 8329; 5763; 3884; 8741; 8103; 5769; 2892; 9377; 4536; 9897; 6077; 7054; 8102; 2608; 4140; 1024; 7834; 1872; 5052; 1863; 1828; 5404; 6285; 9544; 9888; 3912; 6200; 9738; 2660; 901; 1819; 5303; 2996; 9001; 6512; 5677; 9543; 6710; 6412; 108; 883; 4513; 7924; 6217; 9756; 9326; 1468; 6029; 7301; 2249; 5735; 5326; 8580; 8977; 6915; 6958; 8916; 7886; 519; 8575; 9038; 6532; 7248; 2084; 6304; 3377; 1195; 8028; 5414; 7894; 6078; 5396; 1935; 5176; 6877; 5086; 6993; 2384; 1604; 8876; 8735; 6111; 520; 982; 2135; 1152; 8781; 5708; 340; 2932; 8997; 7344; 247; 7230; 6726; 1282; 944; 9779; 8296; 2891; 5099; 9886; 7444; 6524; 4252; 6554; 4921; 6166; 9553; 1152; 9222; 4524; 6269; 6464; 8865; 7901; 6576; 9052; 6389; 8946; 1593; 141; 5613; 7925; 9559; 9332; 8988; 8768; 7381; 3521; 9786; 339; 9916; 3333; 4264; 3718; 4753; 4055; 5044; 7316; 9595; 6589; 8475; 8728; 7716; 6854; 2539; 8709; 3524; 1977; 7492; 2620; 1459; 9093; 338; 762; 9741; 3949; 2358; 4190; 7149; 9571; 5277; 9835; 8973; 3676; 277; 6973; 2911; 6544; 837; 862; 7298; 5643; 381; 4033; 9329; 2996; 8166; 9608; 9058; 4693; 6674; 2448; 2650; 4745; 1501; 5370; 4655; 5971; 9290; 8580; 8563; 9010; 3892; 298; 574; 4432; 2284; 6415; 9843; 5561; 6200; 1164; 9929; 8966; 1970; 6663; 7675; 7986; 6792; 9175; 9495; 7993; 3750; 4801; 7616; 1269; 6816; 6299; 7660; 5958; 7223; 9542; 5790; 6152; 9240; 2071; 5006; 927; 7770; 9347; 4413; 7411; 5426; 8080; 7729; 2998; 75; 2917; 1780; 1763; 698; 10000; 8732; 4983; 5151; 9444; 2178; 8840; 6902; 1538; 6951; 450; 4752; 7337; 5671; 7525; 5031; 3191; 6999; 125; 7105; 872; 2519; 4698; 9439; 4570; 1271; 6723; 1525; 2480; 3910; 1331; 625; 600; 4434; 356; 7389; 870; 3889; 3350; 4182; 7067; 3409; 3081; 2210; 1603; 4144; 3760; 447; 8299; 6251; 9903; 6004; 10; 1586; 3682; 3794; 9485; 1475; 5308; 7112; 967; 2182; 8668; 8671; 810; 5701; 1731; 9667; 846; 7312; 3233; 2214; 6784; 861; 8418; 1684; 3359; 6608; 8465; 5989; 1699; 2183; 2605; 3324; 2733; 3690; 4805; 203; 4051; 1303; 9837; 4548; 7659; 8080; 9333; 853; 829; 9318; 5018; 2514; 2322; 2775; 5372; 2897; 2840; 2576; 9722; 6676; 5899; 6679; 5732; 219; 8009; 5205; 2908; 4376; 397; 5137; 7040; 9309; 3166; 908; 5192; 6125; 7310; 6928; 3898; 4442; 8332; 9566; 3915; 6232; 249; 9090; 3960; 6598; 3395; 2831; 6537; 2306; 1096; 2987; 4624; 5285; 8120; 7589; 3790; 7118; 4137; 3590; 5840; 7992; 9697; 3978; 7172; 9008; 6239; 2145; 7471; 3456; 4260; 7774; 153; 1066; 4669; 4557; 5417; 6358; 9328; 8437; 9411; 580; 4703; 2569; 7150; 4298; 3065; 1020; 6967; 3675; 7824; 477; 3183; 7893; 5729; 3296; 7217; 612; 4040; 7470; 4099; 604; 8404; 9413; 1134; 640; 4765; 536; 8798; 3067; 1802; 4394; 9446; 5233; 897; 4650; 5063; 3699; 251; 4331; 4976; 4400; 9903; 1086; 6596; 788; 6506; 4738; 6373; 9371; 3289; 929; 9111; 3092; 9186; 5638; 9107; 3174; 1823; 9341; 8930; 500; 6486; 1525; 557; 137; 4594; 8385; 4157; 3401; 754; 7404; 1599; 946; 1916; 1587; 5803; 208; 1079; 7575; 7290; 1434; 7826; 855; 7741; 304; 5227; 1018; 6616; 7747; 2689; 5008; 2422; 2496; 3470; 1565; 7100; 2811; 3668; 7890; 6808; 5787; 9289; 9815; 8587; 1645; 7115; 9435; 427; 4347; 4884; 9136; 9318; 6393; 8758; 3247; 3960; 982; 1383; 5755; 3727; 1; 3331; 3088; 5273; 4428; 627; 9132; 9563; 1078; 9478; 9902; 5764; 8683; 1085; 2758; 8396; 5663; 2154; 9123; 7296; 8583; 1959; 2127; 2004; 3921; 4319; 252; 5500; 2472; 4021; 8850; 4299; 6168; 2731; 1304; 8284; 6351; 2712; 6632; 2599; 466; 1003; 8559; 143; 3528; 386; 661; 5498; 3392; 2419; 4420; 5253; 3667; 6928; 2360; 4206; 7384; 771; 4143; 3589; 2240; 5873; 5017; 7792; 7683; 6881; 2330; 4580; 7802; 912; 8133; 7915; 8036; 3316; 323; 5553; 1529; 9855; 3980; 3597; 2469; 4639; 8585; 3713; 3770; 8918; 7185; 1646; 7889; 3324; 7526; 4476; 5879; 6928; 1243; 1478; 111; 5164; 1157; 9757; 6978; 8091; 454; 3352; 4773; 4590; 5616; 8882; 5794; 5337; 9573; 6223; 8857; 4682; 5390; 1701; 1684; 8675; 1831; 371; 7233; 9294; 6008; 6798; 6359; 6540; 5582; 2497; 8265; 5191; 6903; 8513; 5822; 3598; 2119; 5222; 6948; 9055; 394; 2766; 488; 3824; 3803; 2690; 6420; 4900; 7112; 61; 5532; 2799; 793; 9910; 5242; 5379; 120; 4262; 8476; 8583; 3391; 1481; 6846; 2132; 7145; 410; 5865; 3867; 5256; 5980; 2779; 5859; 9212; 8305; 6303; 1584; 6215; 1921; 3334; 1410; 3571; 3973; 2625; 9722; 8825; 6395; 6707; 2228; 129; 3661; 7828; 6358; 4241; 138; 7928; 6052; 5748; 3227; 8258; 9879; 129; 50; 2904; 9322; 2180; 8871; 6130; 7418; 302; 1013; 4598; 7300; 5583; 9619; 7828; 8601; 4270; 7749; 2870; 6989; 470; 1638; 4364; 1138; 4054; 6437; 5272; 1478; 1918; 8037; 9626; 7930; 3911; 5175; 4375; 956; 3377; 4799; 6499; 6618; 9463; 2053; 5148; 9576; 586; 5658; 866; 8961; 9101; 3081; 9750; 1696; 7282; 458; 1257; 1662; 8897; 6026; 6612; 3754; 4875; 8067; 8615; 9788; 1268; 340; 7023; 464; 1294; 6797; 4727; 234; 5419; 9082; 5148; 4703; 8746; 202; 7567; 7254; 2636; 2688; 3356; 6189; 9681; 6326; 1556; 6099; 5250; 2288; 8370; 6661; 5858; 2637; 6267; 8909; 9215; 8779; 7811; 4877; 1707; 2448; 1807; 5253; 3154; 112; 7732; 5260; 682; 5468; 2701; 2057; 3990; 2736; 8600; 2051; 4385; 7381; 322; 458; 7543; 2874; 9258; 9714; 3521; 5630; 2772; 8391; 9408; 1442; 8118; 9687; 7660; 9034; 341; 5762; 2999; 2304; 9307; 6002; 2522; 7315; 7180; 9665; 1884; 958; 6800; 7069; 1319; 9129; 5381; 9697; 6921; 2582; 1676; 7914; 8195; 566; 521; 2116; 6170; 7809; 490; 6706; 1188; 7364; 3247; 6804; 1916; 1953; 8733; 4514; 1881; 9707; 9646; 4352; 1155; 3517; 8850; 185; 4711; 7695; 4149; 5301; 5534; 8126; 6360; 8742; 5470; 1825; 9918; 9474; 6000; 8089; 1355; 703; 5103; 1990; 8645; 2550; 189; 3176; 2399; 9063; 3169; 5427; 2384; 6262; 8250; 5836; 9967; 7995; 1649; 4535; 7935; 1177; 5286; 7953; 9724; 9825; 3551; 4508; 4809; 7929; 6303; 5140; 5799; 629; 5555; 4695; 2755; 8995; 7564; 3552; 15; 4328; 9622; 4632; 5724; 7013; 2531; 1923; 8124; 6599; 8368; 6911; 4337; 4139; 8649; 7713; 5759; 5388; 1180; 3176; 8501; 8967; 9976; 7837; 9493; 4086; 3320; 6476; 4387; 3405; 7894; 4042; 1554; 4113; 65; 9729; 8176; 8375; 1995; 7424; 3501; 6725; 8342; 6895; 4961; 927; 8701; 191; 5831; 6931; 7083; 7096; 2145; 3570; 5577; 871; 1528; 244; 6471; 176; 8435; 7059; 4403; 8856; 2764; 579; 1388; 914; 8917; 1393; 9529; 9926; 8043; 7298; 9687; 5436; 4667; 8135; 4862; 8875; 6046; 8435; 571; 2963; 565; 3812; 6529; 1703; 5003; 534; 7944; 9259; 496; 4969; 5249; 5595; 5359; 2977; 3516; 207; 5627; 4143; 5392; 8882; 1777; 8348; 6142; 1523; 1120; 5819; 69; 3032; 2422; 3979; 1842; 9344; 778; 4268; 7845; 4280; 2946; 8941; 6754; 6557; 8961; 922; 8467; 2235; 1304; 5556; 4379; 6895; 8320; 5217; 990; 6016; 7337; 5286; 4935; 5542; 7254; 6464; 7681; 6999; 2537; 1451; 4282; 3035; 5273; 3967; 8408; 5139; 8346; 8043; 2983; 7484; 8533; 4805; 7525; 8488; 9417; 1167; 3798; 4939; 7410; 1541; 2966; 7258; 129; 5014; 7043; 7840; 8139; 6036; 6365; 8424; 829; 4841; 4714; 5319; 788; 8301; 1113; 103; 6596; 4419; 4052; 8545; 6839; 7020; 6766; 9980; 5979; 830; 8428; 1619; 7968; 3483; 3103; 9190; 4978; 9351; 579; 1652; 6434; 7781; 1177; 7105; 3978; 9763; 670; 6458; 3381; 8100; 2996; 2577; 9350; 4396; 3027; 1392; 5534; 3420; 9200; 4341; 9051; 4456; 3648; 9639; 6415; 7202; 494; 5079; 1198; 5491; 9625; 6680; 1052; 1665; 5750; 4694; 388; 6822; 5751; 1757; 9133; 3684; 4055; 2295; 5464; 1654; 2219; 2433; 3800; 3259; 7862; 5401; 2201; 9681; 2742; 4274; 3933; 352; 5944; 6303; 4062; 6558; 6860; 4525; 9947; 937; 1635; 768; 8909; 446; 4457; 8170; 7048; 5402; 990; 2303; 6793; 1832; 3814; 8663; 5681; 7377; 9541; 7831; 2247; 9580; 6190; 9703; 3107; 5020; 6437; 6421; 4330; 6449; 1272; 9807; 8809; 6494; 2395; 825; 4164; 3680; 1488; 1275; 3286; 6288; 4435; 2347; 8339; 9795; 3288; 7776; 4535; 5434; 2242; 4022; 6199; 8953; 5618; 6640; 3376; 7643; 3696; 1829; 198; 9387; 3508; 6657; 8477; 5807; 6870; 3692; 1436; 8683; 3584; 9458; 8559; 5876; 5250; 2700; 6841; 6676; 3022; 1650; 9241; 880; 1835; 1147; 7019; 9467; 9186; 3857; 3693; 5005; 8845; 4840; 4095; 2781; 4294; 2420; 8609; 9249; 1770; 7628; 2156; 7620; 399; 7706; 5142; 1997; 4931; 5170; 1686; 2166; 7092; 6707; 3381; 4836; 197; 736; 9779; 2337; 9762; 3246; 2383; 4502; 1762; 6046; 4712; 5863; 9649; 6446; 9436; 3484; 5052; 1770; 3855; 3351; 3324; 9434; 8037; 3149; 6489; 8412; 3283; 7276; 4497; 2984; 579; 2266; 285; 1041; 1767; 8507; 1304; 1140; 5624; 1034; 2632; 137; 2808; 2223; 7278; 8231; 4516; 8899; 5347; 8502; 7940; 62; 1751; 2745; 4204; 9208; 9451; 2602; 2645; 3479; 2828; 6855; 6549; 8956; 5040; 3966; 4320; 4280; 1789; 2496; 5032; 1961; 4373; 2740; 3735; 3737; 5246; 1990; 3055; 6526; 751; 5607; 4828; 1174; 3659; 7803; 3441; 8630; 4815; 4143; 8314; 9910; 7735; 3860; 8387; 9284; 6411; 9329; 8245; 2369; 337; 201; 9963; 1035; 6652; 7391; 2407; 5219; 8955; 4128; 4582; 1884; 6168; 1039; 1607; 8190; 7034; 157; 2478; 8209; 9833; 2564; 2350; 6623; 8298; 7611; 3268; 1133; 4626; 3695; 7513; 8088; 7253; 8831; 7840; 2531; 8919; 7648; 4743; 6222; 7618; 244; 3170; 415; 4288; 1589; 4612; 3091; 6536; 7837; 5485; 1263; 3652; 6098; 1633; 9762; 9080; 5131; 9370; 2568; 3010; 9957; 6586; 6432; 6599; 6640; 588; 4034; 2843; 9051; 8990; 5005; 1919; 2414; 8429; 6282; 3406; 7982; 2353; 3113; 2439; 9382; 6599; 1437; 772; 1786; 4115; 5820; 1557; 6816; 1818; 109; 349; 8609; 6571; 3438; 5873; 5681; 5019; 4990; 6488; 456; 7038; 9514; 3862; 5254; 1892; 4896; 9928; 7569; 5624; 2657; 2387; 3389; 2034; 2929; 5136; 9569; 3090; 8396; 5507; 627; 8907; 6984; 2050; 9364; 6902; 4374; 7223; 535; 4810; 2075; 7979; 6943; 4144; 6648; 4776; 2763; 1486; 3139; 4336; 7303; 3611; 9852; 8055; 929; 9651; 8500; 1995; 4107; 5020; 5622; 2588; 7835; 1635; 7503; 6212; 9025; 8034; 8055; 8223; 1098; 6249; 7734; 1384; 1132; 2072; 6766; 7017; 5351; 7809; 6386; 8441; 2807; 758; 1456; 6100; 9417; 322; 2171; 2654; 4131; 4332; 3843; 172; 4271; 4013; 3909; 9953; 3129; 6288; 7751; 5970; 7508; 9357; 5412; 6220; 6113; 4587; 2236; 6270; 3846; 8480; 7592; 8319; 9776; 8546; 7861; 9790; 571; 327; 8572; 1028; 9217; 2119; 4933; 1991; 1980; 9802; 8485; 1673; 4833; 1320; 2180; 2781; 7392; 100; 4912; 2428; 2737; 5983; 906; 5087; 5147; 4529; 5800; 3426; 6369; 4157; 3513; 8904; 7040; 2687; 7817; 2672; 7959; 9784; 8776; 9746; 1630; 24; 4481; 8562; 4745; 525; 1109; 7836; 2619; 6287; 7914; 4193; 6548; 2223; 1612; 1183; 7118; 8595; 1988; 8204; 2577; 4726; 5712; 4530; 5917; 655; 2427; 4476; 5460; 4665; 3857; 2002; 372; 1739; 3925; 7494; 176; 3234; 7109; 5158; 5649; 2918; 7284; 3372; 612; 9741; 2367; 6174; 6520; 7307; 1821; 207; 6380; 8813; 4521; 6650; 2995; 2398; 879; 5537; 2414; 5397; 1925; 5960; 6391; 1266; 4690; 2038; 413; 2211; 7855; 4060; 3610; 552; 1327; 745; 4142; 9294; 5453; 9609; 4687; 842; 8310; 4599; 9887; 9463; 9486; 2336; 3847; 5232; 7161; 8686; 8878; 4278; 9348; 5786; 7057; 6710; 7471; 2509; 7711; 3855; 9349; 9522; 8437; 9483; 4068; 6706; 9617; 4491; 7980; 7116; 2867; 9850; 3250; 5263; 2864; 6716; 1987; 6095; 6550; 7356; 7423; 6080; 216; 9092; 1505; 8720; 8107; 4915; 5002; 9762; 5880; 4282; 8384; 7616; 8293; 3797; 8371; 154; 6200; 797; 3624; 4590; 809; 9953; 8272; 7207; 2293; 8174; 6864; 9202; 2218; 7927; 8106; 1312; 1212; 8267; 6505; 8845; 8232; 8025; 1357; 6916; 8704; 4185; 8231; 1033; 5574; 5455; 5413; 4478; 5345; 3764; 9926; 1897; 7538; 9552; 8462; 778; 9155; 4176; 4591; 9396; 642; 8745; 5196; 6274; 2441; 1335; 3947; 7922; 3841; 7357; 4595; 2518; 9767; 3546; 4930; 3271; 2107; 4021; 8704; 8177; 9012; 6659; 4368; 8220; 258; 1094; 559; 9629; 1970; 3747; 7346; 5391; 4376; 2910; 1560; 3889; 3682; 9436; 1413; 144; 8093; 1885; 3344; 6323; 6062; 5994; 4471; 6804; 9313; 8055; 8246; 8062; 8558; 7795; 6568; 9820; 5332; 8323; 8337; 8582; 2053; 8854; 3039; 3273; 4614; 4007; 1114; 1259; 403; 8952; 5017; 6732; 5382; 2652; 9343; 2909; 1052; 6363; 9798; 9578; 193; 6638; 1988; 553; 5423; 9862; 7495; 5720; 6680; 6332; 3321; 8321; 4070; 8532; 8210; 3194; 8061; 1482; 4473; 8872; 3380; 105; 6863; 2670; 3191; 4569; 2287; 5968; 2848; 7951; 6454; 7639; 6486; 381; 1060; 4671; 664; 435; 913; 7175; 3050; 4593; 2903; 1315; 1512; 4585; 228; 1273; 6161; 5015; 5759; 2058; 6749]) + +let test8 _ = assert_equal 1 (minimumArrayLength [880134581; 772576344; 399895356; 285967908; 867328643; 442745784; 424034268; 345772360; 916019994; 542598802; 933956188; 790793630; 683928860; 739568265; 956222957; 333512601; 626919162; 553949110; 627736799; 918401986; 613953728; 387419984; 458262981; 817382805; 248018453; 688854223; 838755468; 470061499; 869401840; 303790130; 838894964; 165822129; 594444959; 243189521; 669050758; 737400510; 231655911; 30326960; 235299222; 649728743; 671186820; 286886018; 436529751; 185275958; 547596220; 600755891; 209994949; 961919305; 375781259; 759825101; 626503060; 25211291; 934281965; 321043477; 542621448; 689843640; 219739535; 411035537; 449771194; 226860314; 896492991; 996264811; 215102042; 756270916; 178304891; 261744798; 558714022; 706782684; 956959014; 490566913; 542120187; 719256649; 416303989; 61347588; 153604934; 762771462; 603882321; 427415285; 765590810; 150127576; 154080204; 615974251; 14547133; 593013610; 676690296; 667964848; 886562719; 918748935; 986729577; 62084349; 924807360; 626914636; 218372326; 166342871; 420648285; 955220235; 891435030; 565138979; 521600366; 338037871; 754271599; 107000763; 888415279; 351965887; 701171583; 473187119; 448322308; 683063263; 621336856; 441295215; 451921142; 675330910; 627256387; 818825062; 44897016; 582385043; 393380812; 340108689; 233337944; 392598383; 130523171; 482971695; 852799954; 106048655; 369166645; 522158820; 499886164; 611754363; 216567126; 415808131; 14652524; 258245719; 924670087; 192796564; 317461463; 753866154; 890410282; 980006795; 352341946; 490438905; 169688110; 37675331; 394193105; 631912887; 669203877; 65544428; 970631344; 706011143; 8176764; 501677981; 339117111; 176773217; 791368146; 587962126; 627740643; 733236899; 611860782; 562305253; 766521040; 312178013; 47761851; 98432974; 588162107; 444674798; 571338681; 114611482; 583158315; 926899872; 897431605; 836739450; 768186063; 310965058; 139757743; 778356561; 367377726; 710071529; 865143542; 116307916; 867012046; 356666333; 921026908; 54450768; 134760156; 285246220; 388482510; 630448736; 528156768; 176528757; 931414016; 307551907; 99316255; 266686125; 313456830; 793419672; 266440651; 533941226; 886515287; 72275303; 306917683; 124564538; 377120763; 430900101; 485708981; 979664933; 657691604; 90500814; 207190418; 967831406; 179496476; 431639293; 461749564; 612003348; 491543465; 143042116; 966639695; 794974882; 867504308; 535412914; 997445736; 485066855; 255377770; 400095408; 774358859; 603140676; 468099733; 255363971; 473944888; 197176342; 973530146; 172853722; 199954001; 978998390; 830249155; 171041494; 120249799; 579789336; 107296359; 438775113; 865549448; 562505285; 231622051; 714284255; 416414838; 269725703; 813564951; 944196270; 35646766; 968437086; 546502886; 546422956; 875177829; 326017648; 683369044; 63654388; 914744887; 494446264; 832996181; 566016927; 233133088; 444528299; 204444062; 250989857; 118983280; 119662544; 320619678; 613517678; 646513731; 519700369; 622410353; 711144761; 266942622; 520873743; 104955789; 129013154; 554852411; 725295921; 899119983; 32574354; 205539784; 900472700; 608023236; 102802351; 811913593; 867657831; 425237762; 489011961; 34960631; 778647993; 48441060; 113001319; 880043047; 404956576; 873335266; 931093557; 354633711; 908299247; 424017231; 702019415; 682808317; 448773159; 272677484; 998023769; 275324422; 181769605; 135097231; 374001181; 550506573; 281125676; 574620620; 289257907; 733000269; 726248148; 900258599; 216092838; 240121451; 708935526; 506559984; 963363142; 253694543; 777066885; 419847752; 2652071; 627294638; 171007737; 907616306; 519545295; 661559856; 565333487; 898602413; 13958534; 711190046; 173167041; 758537373; 237579306; 670774187; 819935884; 433063890; 915907577; 920122143; 261554375; 289850613; 806720049; 90279520; 669013334; 722036381; 729756124; 575351689; 192568727; 859312670; 128539214; 762993428; 241916328; 486223592; 481582130; 615943868; 351001380; 594050060; 94773984; 693430750; 533892524; 449685957; 334808432; 987874779; 888479582; 370668495; 811783463; 93478705; 69267479; 872783381; 190302820; 667739790; 145636316; 63906558; 548643453; 985463619; 387166978; 330385720; 125101087; 213821867; 651438543; 834569065; 730846149; 932085945; 929269685; 661825104; 861763088; 296522335; 150480786; 559100677; 710561705; 773008032; 669361091; 40518632; 676061939; 843546521; 565118836; 825528783; 398193933; 984187516; 589127548; 813097488; 95508608; 153585091; 548697798; 132398524; 269756492; 932618409; 736498963; 626086192; 780365242; 486370081; 871224782; 677702319; 732835810; 715527718; 496235293; 156585614; 612477670; 811854968; 608070165; 127260843; 993953090; 884552894; 13981110; 658916984; 395298925; 418582978; 749389445; 208198562; 484086863; 842428799; 475951277; 104882693; 385918757; 73796067; 166532765; 132510202; 537121325; 673264417; 165438708; 913594804; 326855874; 784445863; 896610721; 667820898; 882894177; 909420690; 49880421; 16788138; 566527517; 404188221; 407323260; 732317301; 743768712; 614759288; 816320839; 315273597; 835026277; 293575911; 206271346; 90936162; 668736539; 302389864; 459844314; 162515010; 862326889; 177225784; 528516817; 823703198; 229755259; 957042756; 517440603; 45020469; 309685972; 571201613; 888817946; 339605797; 268092512; 350297303; 286439307; 892585975; 563766413; 513505346; 872215479; 854012212; 218379954; 157282502; 470437082; 761379652; 276970771; 493873962; 58666708; 781357424; 151773969; 153870990; 348396378; 697076565; 343494124; 39075594; 37153310; 747327376; 122061654; 230235985; 221466327; 883883323; 732694798; 817210114; 325957917; 18766305; 517066355; 959470517; 421080533; 435913042; 705598828; 5348100; 285893444; 78046703; 488054923; 572627920; 432743852; 948900250; 736573135; 738344964; 988861227; 398334267; 277995509; 498754434; 510417446; 475048505; 481959671; 151876203; 700786392; 417931322; 508328046; 218383798; 81050850; 4313417; 473279813; 673133917; 651855879; 381360874; 160050498; 170551997; 476899325; 738621887; 351042132; 543581701; 861974785; 355566841; 826549942; 237117440; 543117197; 483543531; 745213607; 452335783; 621175847; 111318154; 935765313; 909331452; 951966961; 512011656; 833880599; 597741088; 872274903; 560446748; 744208922; 218081788; 142263085; 573883519; 508791472; 362161935; 279607720; 384278637; 965625191; 297709186; 462405913; 592725170; 413244218; 582331867; 664571626; 985169835; 916123874; 524935945; 484435373; 137106007; 649542576; 326401842; 244266171; 489351182; 297897611; 889704034; 155945450; 174442632; 26784993; 744683236; 986668727; 90041339; 495527940; 689047218; 762033464; 155512913; 60674792; 742149376; 596709359; 163780172; 646548398; 366898016; 320965012; 995240516; 723505963; 210166510; 798029805; 478153548; 56881214; 888721357; 542004888; 775626756; 809451122; 272418222; 173639111; 286098594; 611114581; 641980247; 701500272; 611823172; 939271211; 71699397; 910264860; 262532802; 64658012; 177893373; 662385997; 132751936; 98329502; 579500005; 740419958; 794639957; 142057103; 665985676; 914527982; 861261245; 428488057; 56775855; 910959663; 68015485; 360503160; 874976061; 190543094; 987695376; 558939973; 414401767; 247235645; 304530811; 493345265; 606075312; 479464367; 997036831; 737833138; 77451196; 869699626; 324606997; 813256583; 744407651; 955824666; 754177258; 740449609; 534833485; 379245616; 573202702; 380701824; 827132959; 377627300; 189601742; 558175455; 401128069; 463201588; 560587369; 731579902; 767139271; 579312239; 81695574; 801099849; 538042779; 407492156; 636329167; 25890949; 292048859; 151982005; 634079655; 754850072; 260757988; 468748736; 561942506; 697499773; 786723516; 371086704; 876426870; 717046791; 175042717; 882575342; 645212179; 546168724; 470672062; 166754854; 274065461; 569537741; 934786224; 865097934; 847170782; 800668609; 242817177; 489067315; 466647660; 664841831; 616484459; 423313670; 217250759; 767812248; 797333026; 749631803; 570555538; 379426258; 392460932; 954688478; 999734125; 495397031; 759678331; 649160808; 563505130; 898832468; 15339902; 283184511; 544660738; 85248101; 222703515; 160211141; 878631619; 648286438; 352828235; 838019019; 512509076; 600878809; 938338531; 41425638; 211520661; 599034085; 718208994; 828142874; 458943629; 759078031; 260160591; 134766086; 527382561; 781315434; 467586385; 435971510; 805718715; 283227731; 73074346; 472269190; 596254440; 694634299; 438716978; 777087297; 483236731; 156053414; 766189998; 532906092; 185416814; 84218400; 575273728; 529965932; 809119906; 85322015; 526122603; 401655498; 780076639; 442660256; 630077768; 36342618; 542794984; 199822166; 936772901; 77180605; 818811635; 201206097; 645087205; 979075212; 529223113; 42853898; 257526141; 853670132; 1720867; 236863356; 694651676; 512028949; 187912206; 385718107; 900644686; 50834120; 690257769; 601236484; 732283314; 110237559; 77011139; 289987174; 17427166; 324629539; 192776784; 544978481; 306967470; 920161449; 908974656; 916583129; 2248877; 805749663; 237375731; 669110904; 8963267; 342045943; 111357842; 470333536; 917153092; 659765236; 532679838; 398986864; 685861428; 96358107; 180004551; 590781972; 955957460; 771681539; 543948536; 392746777; 401956067; 710398302; 106514925; 347856221; 599578170; 116437387; 154764380; 715615838; 579277010; 845671657; 494033278; 780901733; 139390024; 277952692; 179821844; 998953360; 563279363; 688607075; 789711207; 671569314; 819485210; 981261276; 461562095; 427689991; 602816934; 692361233; 93224972; 143566458; 587418818; 892790495; 467671907; 241249859; 673915634; 453065593; 958982220; 581218739; 909532277; 826566853; 32422828; 479989188; 616245339; 367747558; 865774050; 80895272; 854099804; 940735465; 713823710; 357997900; 908651039; 431558662; 511202840; 912915540; 348524445; 211561092; 662037418; 416614013; 583743789; 759661735; 191792744; 835703055; 94302797; 565989672; 407178331; 93793489; 797953111; 669445167; 517768701; 984130624; 922044946; 809419816; 240115778; 278337927; 532041230; 661214810; 535945003; 898362132; 302496266; 921440348; 927427908; 594629097; 215105436; 496506064; 538979114; 475379294; 502812442; 235637363; 432616979; 603336447; 76950014; 686533318; 70537644; 734543399; 424946745; 175372282; 844018573; 761543055; 35205055; 628687645; 950267177; 549983511; 198485422; 187359376; 176747298; 859964012; 376627453; 657128300; 183569546; 886172616; 256221030; 300621767; 31234219; 751394526; 593680602; 553840813; 22071677; 97957834; 261117661; 184885080; 831609621; 263373030; 325013264; 743131724; 363682873; 328548105; 537817330; 125466955; 975776780; 24702259; 65316095; 216264569; 158011448; 882818224; 349215164; 420639521; 452781685; 191103336; 622343398; 878372588; 907975301; 758066951; 975328122; 62985578; 61909456; 386874032; 713724838; 890473535; 185195713; 11065797; 314089135; 795360450; 706327741; 527825810; 920672612; 174968481; 981349202; 534311286; 37732071; 631176666; 841586215; 927795421; 120036032; 320628049; 782545674; 749094841; 740887370; 270207196; 67485636; 902423647; 51879070; 66981155; 523366167; 419607420; 672979049; 791043663; 530046309; 416682213; 812732392; 59711099; 120523508; 545936022; 611587157; 535590655; 285963266; 8145664; 599957583; 428105620; 174340714; 310558245; 70447271; 940842957; 570508289; 925456263; 98443414; 643220660; 277755316; 850283835; 540825140; 788939941; 998154476; 325098342; 380250563; 850094965; 859131515; 998188075; 418435195; 834469150; 387752591; 365563465; 451960681; 134334846; 891956447; 353489891; 337029105; 267027321; 89371550; 169408345; 778259043; 779660290; 42067294; 903738791; 977290722; 327805349; 153628554; 67370584; 223050152; 216192237; 422626883; 723733818; 701794979; 766535550; 736867524; 850994919; 858194214; 837536082; 112330226; 940167120; 945766578; 166409496; 812378888; 555885426; 929659699; 421668388; 601088615; 621827512; 14859556; 366179882; 280106429; 869154158; 183493139; 692369111; 171396178; 897359245; 941617762; 363206494; 78936329; 862799901; 892769282; 61190226; 795640030; 425614094; 904416199; 299516809; 116911811; 275966376; 459508017; 900447237; 941954168; 996501730; 588394149; 436021075; 645997381; 756179844; 503848726; 566747041; 209474506; 979152914; 68140211; 470617450; 617381764; 176938785; 847368396; 141207456; 305173944; 737893686; 222174823; 161525396; 504857329; 401814031; 212645175; 528881497; 651687005; 108938678; 555698488; 596216009; 58281356; 875618559; 293658280; 184101557; 259458365; 991563909; 589089716; 666700585; 599546523; 856012064; 444852982; 54340573; 218873795; 263926502; 892015658; 133745280; 699845646; 96771102; 523544304; 570136135; 51721450; 172387488; 479090931; 786819469; 171460363; 591513922; 862728817; 752485090; 526487159; 696592596; 24678964; 962421987; 769000589; 48852146; 661017008; 302618527; 680947335; 740857756; 563600952; 183924161; 452180034; 693831759; 101967127; 31054786; 91737730; 651514973; 64883071; 609927629; 357201698; 939343995; 509341846; 651440103; 57979123; 945232207; 686351205; 711889560; 875313201; 677832830; 898234859; 510122457; 265197318; 773297210; 648845235; 709706177; 657632913; 148241707; 571881428; 839670173; 988238577; 646014857; 615165986; 541727120; 73485003; 443930949; 449762269; 979604289; 383926461; 227276678; 162037204; 495227167; 433029221; 424448698; 964862201; 829425930; 102024962; 562401930; 329558494; 7311074; 419358016; 494307195; 797314957; 424710001; 602063242; 173556290; 125967227; 188150945; 756824129; 713111706; 814169505; 197166219; 712966411; 879461144; 406442641; 510256168; 347928793; 368754833; 890191749; 682372365; 138240790; 747721640; 219309338; 524181514; 370760113; 436301661; 860516073; 691836876; 692611666; 394307541; 291055171; 742487977; 670666604; 752328679; 367522778; 426769960; 567519212; 873066011; 219728513; 121789517; 81472970; 709711604; 525944912; 876902987; 42521265; 114998371; 270989922; 50771903; 779680368; 57052960; 903587836; 943165240; 152928669; 321759514; 325023225; 343090394; 879846901; 153627120; 112113062; 281766978; 214000481; 221281563; 393210444; 333557984; 769202502; 44183180; 123977758; 607898661; 163389256; 625546306; 665003068; 695035568; 270652424; 945461310; 864562928; 461380245; 481649749; 852837953; 476267006; 206786506; 209312089; 185441970; 373448724; 929552897; 200210500; 103459553; 144584992; 491412477; 184851199; 479789037; 91741401; 488779870; 964247927; 552844256; 468009547; 239812109; 609852086; 818950291; 102327732; 863709170; 813045574; 678415650; 986123934; 710239254; 210831962; 505162691; 420461693; 545438476; 7797730; 568810553; 931345382; 906217549; 430456515; 173628963; 292494095; 107219426; 549508067; 963564693; 849151182; 534795215; 480840604; 646518941; 604736001; 959477896; 467692514; 421180748; 421787878; 721141457; 581020237; 740191213; 288716393; 85717855; 619401017; 811949627; 656967405; 592961859; 9411446; 29759375; 559454848; 551489736; 502164197; 770093946; 669643578; 344958550; 541577042; 779195339; 684602386; 913457927; 200132908; 450227575; 733159299; 828704931; 393186364; 799931151; 989534405; 218836627; 160081407; 47949021; 985620554; 439767022; 600714; 495495185; 60199641; 268790512; 196435175; 113966723; 302799307; 60534034; 606501938; 457288995; 167775528; 964982527; 689021281; 226628045; 780137520; 264998706; 437816417; 728808339; 867920937; 880621703; 601897238; 609684610; 763433141; 587260378; 60814402; 827278057; 237049497; 690916996; 482725843; 654099597; 18528212; 430960501; 473937225; 482783971; 208103646; 770778613; 512019572; 880733956; 490928234; 618524844; 803238729; 665597934; 616789008; 600587092; 643721641; 158496757; 134282568; 319200580; 28258385; 743498717; 396052512; 103573165; 36531067; 223986369; 254329795; 947187062; 940789394; 164377888; 776672798; 464676212; 301994891; 75651122; 903905978; 986104978; 106547723; 268020873; 219739741; 487257993; 735791232; 989211030; 378452656; 134419170; 455535464; 705992556; 780465696; 441150358; 447708575; 728959143; 515254405; 841302849; 699058320; 334771242; 635985965; 800545078; 316446845; 526451793; 655597577; 962426078; 993821776; 416489243; 516026856; 868204626; 217210986; 859142864; 936553674; 515610154; 886003773; 698797796; 992996010; 743396685; 380582672; 528882456; 976415193; 557079670; 586004974; 16205129; 149273514; 205225407; 984103384; 482325608; 46915971; 112526002; 698204581; 985735014; 769870509; 23587066; 331246758; 816497241; 417735063; 755506684; 384056946; 287854193; 651352498; 316285895; 734301170; 438300577; 813685254; 466187095; 744997108; 132352140; 336389235; 604950873; 517850562; 449840557; 923138843; 247753537; 304262871; 936434074; 150583455; 172885342; 73138219; 514111262; 154051255; 447694590; 189667118; 836505073; 493201418; 741756469; 203092472; 31690956; 981778826; 73767046; 568051413; 429089611; 977403653; 952200436; 14455362; 573251540; 191730834; 276579102; 70853738; 171808054; 208442406; 851465524; 532989525; 653667313; 752657273; 58946045; 272740085; 886739804; 112852903; 499398597; 864446296; 730620154; 81106425; 299526731; 900727649; 100505327; 299352481; 991008226; 723257126; 563137055; 878157515; 158782475; 588053481; 502838215; 408446454; 781625212; 21127776; 896622836; 918759002; 935425080; 61888471; 612182673; 177366247; 690155543; 115011574; 748249537; 655721797; 659690898; 228417059; 537151795; 842722133; 993917243; 730423320; 449628813; 6364244; 100039232; 117368215; 259066785; 645933208; 609097517; 405748786; 551432159; 600907654; 468230450; 950926704; 387420380; 688027441; 64837348; 983246898; 721375778; 330290051; 358806879; 934728758; 469044479; 493285999; 197978023; 615097485; 651161792; 504194903; 69153659; 648684407; 349740669; 131591369; 278256733; 453913684; 662163947; 617552739; 261153686; 723600336; 396672550; 995128794; 254881104; 437279852; 48798391; 213660407; 617865204; 147315456; 585408779; 56923662; 728651466; 584396128; 919784043; 680357374; 305368272; 11529393; 167379580; 116812010; 814682781; 329090073; 941329056; 66669214; 420872178; 811550443; 837222041; 567492099; 783575592; 710768922; 137575014; 710342549; 82981288; 987943564; 258456475; 468771019; 255983643; 362200413; 47502277; 289159318; 399635479; 442212665; 111649090; 872160154; 367896929; 913241122; 104593010; 742256538; 99382518; 721327260; 730778209; 11111220; 693491268; 77197842; 986255623; 817697531; 82676340; 170633033; 724107908; 139906038; 578055297; 379030386; 365378502; 681448528; 238487398; 970659682; 178645656; 219647130; 640016793; 193327590; 842854339; 469888791; 602792684; 896367446; 895790618; 736489903; 993802620; 431518449; 771225963; 424566083; 665618103; 393455369; 297188008; 902745447; 795308555; 122243562; 302527475; 401265707; 124186401; 655007361; 452165170; 996297717; 249240501; 327468149; 704503438; 885391687; 68148599; 786724826; 545753051; 853072026; 426870106; 89241862; 520261417; 83933253; 259308983; 164457204; 763768506; 441763015; 264510823; 838686598; 67631513; 916142290; 483325405; 579048898; 498085083; 476232898; 150605306; 867076467; 972788442; 85301124; 120540672; 617160931; 149817747; 632261526; 848427828; 688408611; 978732678; 849819215; 768518709; 611630648; 638240344; 135657907; 92299879; 332481787; 511810191; 28021996; 141540783; 65787126; 586562957; 269445371; 59233012; 599170217; 39434403; 623399301; 173620216; 917426988; 611925862; 269604200; 135145280; 478531362; 373128932; 364449381; 727537493; 578711396; 378809101; 78883507; 735615072; 751887574; 225407373; 92672921; 153629933; 181387715; 379259787; 758209495; 178626801; 251235767; 533765874; 855945630; 403543512; 561320502; 905203378; 851629389; 951733071; 404594014; 751693488; 139595787; 922915032; 789803680; 151577066; 719385155; 535058971; 375930054; 414477870; 687269879; 456160510; 580337833; 24528308; 90762728; 246767754; 621541402; 794846439; 141426772; 447790020; 164921437; 731591452; 578469376; 395298172; 569038719; 864626212; 339785938; 69146035; 771499393; 70689027; 59291569; 741811434; 961303996; 508605250; 548333580; 755747157; 633038155; 148848049; 668313240; 104373766; 350354552; 162936130; 296087603; 760609343; 862695741; 951721561; 995208806; 300108028; 392859482; 984989099; 750297115; 297797683; 631804731; 981318307; 574610714; 549598639; 140394307; 503830565; 259101642; 705520360; 820390021; 859915830; 846788934; 229133577; 767976744; 331844732; 69798730; 641436386; 247177850; 596697633; 697053935; 580017933; 214227730; 953002617; 618032872; 812231634; 402774115; 177987237; 636706626; 666118197; 24460186; 792776090; 563113284; 190520849; 622985094; 728732889; 583369663; 329377401; 871472336; 641861133; 293626715; 373799186; 35695867; 479155415; 254490628; 300750322; 692446168; 694321056; 846338356; 212582822; 157416787; 919545078; 842930596; 120076839; 313133540; 904954772; 609252495; 770173639; 859608129; 969925755; 16360958; 955212592; 44157707; 190278628; 426555992; 460422723; 452244153; 419159704; 387954827; 706823702; 78285174; 438956589; 63328254; 463394999; 296821640; 769584373; 498213425; 68803662; 986819385; 80218182; 167618716; 865524752; 72735552; 316623758; 974033857; 105271371; 758583434; 9717387; 70773112; 993343705; 347679241; 481037028; 185612719; 872345821; 431825976; 812570634; 395056075; 802189373; 290366213; 875480868; 633330130; 369201188; 405095154; 572545798; 833505626; 947939598; 359122225; 433202667; 80286651; 658519099; 952492304; 714907217; 32973500; 568352327; 279790242; 19065587; 962868116; 217880562; 837383273; 621240372; 759916378; 442049269; 253180365; 90834231; 307579845; 88943641; 747922868; 438782671; 258850955; 194207089; 281747763; 774629962; 433039410; 611661669; 481490435; 333595310; 900179970; 655185148; 135789128; 980194675; 960851715; 239709283; 246534646; 960461130; 421521249; 796831313; 111278653; 674136070; 749467478; 698566870; 695240956; 157281280; 619420093; 543026019; 578052070; 577949874; 534745180; 238719521; 704613616; 100786738; 422622127; 227634021; 891045564; 22568487; 134377904; 707191161; 134738821; 260834729; 106127363; 425578281; 276730987; 114500982; 708262188; 849744077; 8695985; 952519759; 426410880; 263097653; 748578107; 985301557; 227742037; 378878077; 659929914; 795359723; 526922511; 559456295; 552487088; 111622971; 39837625; 338800241; 129607375; 111359509; 247604166; 752502743; 620086098; 863923357; 493961085; 156780742; 467995463; 700596055; 365893473; 805388765; 414743121; 462166346; 755138510; 352275527; 863297149; 897246513; 533560236; 611620748; 344047092; 511548960; 538166882; 326774152; 790792184; 969759827; 14228468; 790569648; 656749223; 901574409; 121474565; 465703526; 299275550; 204709903; 418016999; 940698960; 991006749; 859119046; 443194910; 137070530; 222897214; 54183866; 312380392; 780630321; 369682894; 2480034; 532864381; 32284294; 353630520; 585544937; 143995076; 876190582; 725301183; 418823086; 254447506; 929511656; 10249536; 965878678; 333852087; 859476766; 847392027; 548091454; 494615494; 951679252; 21496311; 91776224; 657743618; 303969631; 588258572; 746531310; 720042308; 456893573; 201306991; 857560630; 897488572; 657456847; 312885102; 604607510; 176237782; 760909188; 917764102; 538901744; 709228448; 163580968; 347078808; 280789372; 561588265; 949745639; 321879801; 481349233; 129357682; 287456062; 790099015; 503389519; 798310544; 647352229; 309257212; 234797849; 39635800; 474306494; 154174829; 521924648; 918597576; 464102856; 769510331; 724065379; 322714373; 360702606; 327708720; 272620202; 492824845; 291686464; 35709477; 521848201; 12818220; 665496599; 415225050; 734114117; 992139588; 547331410; 316797623; 703351064; 929752390; 787824152; 757360642; 256458546; 681361391; 450699039; 319461551; 44352269; 474536512; 46868709; 152686036; 386573958; 204094073; 825579934; 197151252; 560877903; 528503712; 364689940; 70620046; 659869127; 724771240; 832810343; 754116596; 49426883; 267241002; 747138124; 273144391; 478277993; 453790794; 890766060; 847152275; 262720034; 458974246; 679028981; 520702921; 483367399; 981746812; 14028504; 176728008; 658791441; 875735224; 467407109; 468214839; 269472309; 268261275; 73363443; 297967191; 54907598; 974938344; 17806392; 292662532; 895947619; 840555959; 884385441; 841708894; 257746916; 489857544; 232996929; 190619201; 423022793; 743083091; 438058220; 554408149; 111880559; 965219302; 668017885; 823259574; 472428536; 813910760; 986702605; 556845780; 433579323; 927368928; 473608965; 166680194; 283332311; 355720431; 128215598; 173709844; 163856707; 779657383; 780228060; 553135678; 694035129; 492397970; 350727737; 517127464; 878483215; 219748709; 207253745; 514304549; 431027779; 387991334; 461610399; 818427897; 847103398; 978515377; 652539219; 982444559; 993615212; 850571612; 960687715; 48944000; 742202851; 455882946; 21496059; 875233018; 596427840; 888015296; 846792885; 745388990; 118447504; 191973880; 64382136; 703577285; 103252524; 690054196; 308189091; 897929584; 872710586; 112274640; 767463251; 767290138; 952724760; 291311206; 352014967; 632984407; 501905941; 255121980; 593074290; 550734819; 553622678; 319300726; 682151721; 491122144; 795700186; 36869078; 303956606; 325317411; 327520520; 183506678; 964994271; 441377748; 932875058; 382431616; 511306776; 991732249; 967211389; 335690295; 395306130; 379167293; 481793903; 90409646; 114086824; 621442278; 241472451; 90190810; 968244321; 659585256; 296379969; 209416969; 384473440; 844575369; 468856345; 101260546; 811652275; 462950044; 93861448; 901433789; 223030023; 628211323; 881718298; 379607418; 331955406; 243841695; 124533777; 49155087; 296264050; 710571806; 58593104; 463893355; 730268310; 457565437; 16552135; 651497092; 93997826; 95881278; 959670066; 513667873; 966289241; 336946518; 863090289; 316675647; 369905251; 240966169; 562203917; 254819235; 954523195; 406261168; 989704716; 811617148; 805942349; 669298573; 922333436; 495766959; 768022814; 346283329; 80665061; 527444685; 515437651; 56817497; 174867389; 510709873; 983555850; 768574475; 506938762; 915760168; 715766339; 480193700; 207145374; 691764815; 892287236; 396738393; 150987107; 814119155; 736722811; 113129493; 135182635; 546307251; 127435873; 830569372; 291188992; 736971886; 960467793; 791057203; 911460590; 69528754; 433324528; 907867001; 780090987; 139382960; 801165571; 651259270; 521507548; 436751795; 153808064; 509878617; 567196036; 537556510; 776338834; 849023999; 340222502; 415929831; 736333387; 241422204; 219298991; 986199650; 289741199; 648777652; 516108253; 444615167; 783980859; 793363357; 676120389; 570184159; 819033135; 75535488; 300066219; 773278827; 451014167; 185068744; 164200345; 805605623; 77006993; 937996921; 843320920; 367229113; 42840142; 610608164; 10972894; 964124946; 558898715; 226164289; 348070882; 561992089; 610678903; 363948351; 294505764; 111587811; 80006759; 229403605; 909993966; 929850367; 732102768; 17040263; 728766037; 321227193; 767600099; 207661541; 464910357; 232668355; 450946302; 966684884; 782808877; 897993721; 465118310; 124561280; 527900867; 725610669; 194090322; 179788987; 707062152; 160728261; 973048993; 921184038; 423853397; 870466952; 742677869; 864580595; 201523670; 235766777; 704388351; 45917948; 193774480; 905296432; 176894635; 236912686; 614488260; 962052167; 674555229; 922119958; 701485511; 904012554; 355469519; 142567181; 102625984; 83532121; 317432383; 535893663; 713108608; 255708417; 826352987; 617926694; 652586716; 801788709; 268511627; 381245261; 478063929; 726875318; 850366219; 54454013; 835225928; 6166094; 55866645; 551548516; 698483712; 770704894; 870096613; 308675252; 553047494; 922311472; 944040560; 180288397; 646407218; 188125223; 72463609; 415461677; 803015332; 993367544; 827036484; 793395299; 327229055; 911109358; 440305471; 30153036; 650239477; 441164598; 205119301; 244069022; 972503849; 762679101; 909836228; 463363925; 596615288; 393459699; 973990140; 661772404; 983770394; 222644062; 260850523; 699712164; 834288108; 896053421; 804953673; 361108198; 764260449; 387786231; 876055102; 733912460; 496327412; 28906063; 742522280; 835899426; 167001884; 721601621; 93917791; 17744687; 704978276; 630176563; 138389261; 673890514; 956990842; 657980310; 632674839; 658423364; 346887378; 96958369; 792655726; 354000256; 434244671; 612020773; 792019673; 145949764; 350556720; 88502093; 816843348; 235552278; 754323284; 497443103; 55318948; 867055699; 773683539; 788552042; 351513256; 605329669; 985896236; 796044510; 18318804; 361584718; 568236444; 993887814; 629974510; 14056167; 216664654; 986971943; 781163539; 534481592; 418460557; 570205087; 742816843; 836692632; 666841808; 933401201; 622046792; 971313156; 796600480; 13794002; 419957322; 158449101; 997450624; 414974852; 919851708; 672868381; 174892855; 280972602; 272482210; 927609504; 573587730; 676339321; 332036593; 153071535; 511270624; 432031659; 569789161; 621456789; 737839181; 336933984; 330416480; 455615059; 133752696; 931141544; 477683891; 924840141; 274965781; 870826416; 561586854; 409846459; 756537093; 267311638; 90623554; 26533151; 330369024; 587476827; 460760665; 977740816; 343299788; 295053106; 791378913; 720355053; 280472762; 806856571; 211491855; 884357770; 902008889; 557880149; 124419528; 680573207; 199985189; 599242259; 459787465; 893252389; 775922515; 889571665; 815978086; 999775890; 546735512; 693730544; 884889311; 504429606; 570431720; 301654576; 109074769; 620793591; 106852855; 950285865; 636998811; 948330806; 434854123; 76336199; 87037364; 126875410; 257404116; 415957109; 450901735; 982811168; 652813311; 96789243; 479394058; 402027280; 804418577; 256750393; 310122095; 550095414; 213343238; 436112674; 970157153; 347627411; 924751075; 263324922; 405989909; 953672635; 395130854; 220216423; 598098972; 390486101; 570305912; 147127222; 135162789; 910814514; 392825345; 199228979; 904056378; 706822341; 796348124; 195651094; 55090466; 51404839; 831242045; 71053383; 706793573; 365404648; 910864736; 615848151; 14040903; 533191573; 256059452; 272224994; 650044067; 955263900; 463962933; 288567186; 1059290; 362518991; 238664170; 215464522; 578581578; 410088224; 331716891; 598103799; 797007738; 542060965; 890139565; 409733946; 489382288; 888577990; 932370496; 827881207; 914382843; 858649374; 591942253; 333184193; 200447622; 785482464; 293449843; 873016338; 817529732; 876038335; 642151293; 553193932; 733840042; 137977518; 918846105; 521015156; 49644976; 93574011; 561348823; 141279894; 194024133; 584145723; 710897726; 857903368; 870621594; 747637295; 203142752; 306547309; 479038854; 73282208; 524282220; 580600766; 722359618; 204874237; 570956293; 533566142; 142645675; 519885631; 197606526; 814260815; 318093659; 800481754; 440490494; 192718433; 179352440; 344864854; 506132428; 304563239; 438505945; 489082912; 107544023; 478909596; 562705626; 736609117; 216374588; 995382803; 255321652; 132167848; 298973257; 866391899; 540479898; 227036188; 630809582; 817532550; 332810716; 146894316; 507054191; 444362786; 667965827; 923634961; 877880578; 249989192; 14898486; 539826443; 547889572; 806756175; 532262933; 813127498; 720254853; 205195315; 862492372; 810737066; 584878575; 384203520; 119141621; 683663171; 195928392; 453003032; 304067196; 476836096; 848749725; 835881380; 585873030; 727565936; 285477434; 757326406; 568507555; 682082937; 527848281; 213205650; 221152408; 911706457; 70694944; 815684282; 303822894; 198651827; 609528639; 757159847; 119402432; 332766224; 70520799; 183107082; 6015025; 269223199; 975666668; 671034337; 608343774; 7733205; 842929343; 399400795; 347397681; 924393384; 387948451; 343177287; 511796746; 635489005; 478992215; 914824459; 720655351; 463371696; 442116776; 563952720; 349628288; 238306824; 145787247; 397392068; 736871573; 609284354; 261778891; 837621769; 972229118; 316662297; 446242402; 620364484; 285759421; 102391441; 49821084; 529376411; 301346556; 792725271; 752847219; 19606588; 68322406; 926562896; 875313624; 940141258; 805233937; 866335231; 464119828; 774249769; 542626114; 260300869; 160131392; 297259556; 682626302; 380514599; 368496145; 767287077; 51033754; 808085364; 720254435; 585838696; 164936849; 86668194; 539292703; 296739006; 382410329; 666651647; 164146624; 727629670; 371562736; 791755799; 219879086; 944776441; 65733122; 879686581; 783187187; 535438748; 266398843; 346960927; 958854889; 887821383; 48848797; 375664882; 6601841; 264275589; 729837000; 25363950; 3498445; 770362583; 644998548; 375989318; 606002411; 835883550; 201580326; 317441248; 794211481; 7210717; 398879694; 716682770; 368251954; 695270297; 333999755; 141600013; 737554884; 293484900; 837672634; 129245889; 867573931; 580119374; 913999056; 764820265; 336516332; 859998647; 943239384; 96192992; 63360356; 381230045; 588792549; 132859371; 270814525; 512659945; 188237960; 889468382; 655075210; 207168250; 887929270; 609854032; 957974249; 674655543; 87508141; 143729067; 843607804; 174479291; 941145656; 495220403; 329140743; 240060384; 551948939; 61941507; 339744783; 98641702; 588902916; 214292932; 757280471; 556616858; 72817925; 518624794; 775535762; 101996668; 176516478; 971544746; 547494665; 463165568; 321972433; 701479274; 874886829; 555966677; 544814220; 813284662; 588066396; 370057978; 736083696; 667295787; 809087215; 965708412; 730246651; 281855061; 139316966; 299372089; 395904154; 683438244; 694566403; 105505448; 348098169; 397986618; 924094929; 642083120; 73421702; 297964295; 841897137; 478519716; 911628904; 967770471; 28973035; 395502229; 724202687; 905462666; 651720743; 628622317; 122192207; 203924878; 793303119; 810760931; 172610033; 359557007; 617360680; 869123641; 284859831; 144335523; 776337900; 910500686; 401805191; 636162023; 352156631; 855188794; 223033767; 567501411; 229791377; 19511173; 277302825; 233289092; 37791261; 225142993; 874685244; 187126225; 285846969; 885664904; 902428605; 266335161; 838086798; 262776164; 238701940; 288447789; 458647171; 481152043; 961482773; 928311384; 580161094; 869304570; 300777512; 556127642; 473857967; 930483027; 970645309; 707434368; 170131100; 549346706; 272578009; 509565345; 613173892; 751359362; 725817754; 659510236; 864752856; 746221644; 421993953; 190999588; 188287770; 142430024; 351920374; 863812543; 400969501; 246038929; 962933934; 53744872; 121665871; 79737161; 136023059; 626507177; 90281498; 688596628; 58943141; 755285157; 293290127; 292342583; 883364655; 850394396; 491632557; 899684436; 395748263; 790468351; 414579929; 856719364; 882938687; 794211192; 206940108; 776736; 436575138; 484895259; 773283766; 8809984; 216748895; 295492106; 14140123; 373993964; 561753250; 171520731; 755408422; 203087322; 79068990; 779361578; 701978894; 555537656; 54771459; 757119820; 88715750; 770162915; 810108319; 342135890; 255582108; 184074599; 496315337; 104908941; 261996669; 385084151; 23601665; 323424138; 523690595; 108513093; 916676162; 564261066; 538450577; 451984897; 642241231; 504349044; 496645380; 716090839; 588371860; 647878070; 563635501; 807122538; 981303916; 398496651; 126180417; 275298989; 266693423; 56712929; 789285936; 376628847; 350133807; 942731597; 497500127; 99103108; 727154939; 170009926; 788945464; 60662061; 820865279; 464411818; 341126122; 483255514; 766219160; 180027434; 438228633; 10098450; 942084823; 175765207; 844732696; 632544411; 903236096; 353992117; 528050515; 579129079; 370208810; 753424167; 39569493; 555857383; 259808505; 715905470; 298445642; 909354154; 266350409; 520368776; 915685683; 458575255; 800979378; 75292975; 641367096; 834155316; 816108094; 654351668; 235559309; 635033025; 312306814; 175956998; 796688802; 630046553; 798923836; 433801005; 464146382; 160117272; 182340545; 566891216; 308334382; 26295098; 581610815; 942746090; 342711479; 572575106; 653104220; 359339345; 845599134; 342903346; 865015279; 436986773; 686093031; 618478741; 191845648; 650935906; 268928361; 594754478; 360666637; 706535463; 813415878; 156192596; 565892602; 848411844; 783422241; 105077991; 156041502; 636858751; 636331427; 700346479; 248281495; 385890794; 33781830; 588304430; 925195974; 815650634; 506272131; 92660242; 380973580; 790562096; 920622579; 849722836; 132468869; 92935171; 163324983; 701790704; 689308168; 605351924; 193882497; 367335732; 864985638; 233641662; 524703629; 246369392; 457228461; 881721385; 444014121; 925581040; 457923535; 995187887; 737543077; 843686909; 216597861; 138643448; 565917668; 969636024; 842805996; 840971129; 828288937; 761149897; 348271281; 695879940; 667216424; 903078258; 397525531; 934141886; 993730584; 4735899; 494938308; 800083351; 765941201; 637401606; 900966734; 259622531; 509520865; 266745640; 372963788; 82126517; 952387819; 500370389; 268041591; 547069513; 104089501; 616935628; 403831475; 629897579; 884044426; 746762132; 556187222; 107407339; 294866649; 896349578; 710370968; 760426145; 58412972; 251911809; 76989223; 756885335; 685195342; 477546730; 50980413; 686045585; 840529210; 46135819; 332345562; 377098078; 745226509; 5322720; 50705096; 690854733; 570300016; 151279462; 732648774; 580042267; 695880737; 686789789; 586312017; 955153493; 627818876; 531479331; 226568966; 759247414; 133215932; 66225957; 334332781; 531015000; 807190510; 950382481; 757014042; 553926409; 218062721; 644950002; 336314663; 577558395; 883442078; 889175168; 807044813; 506442050; 464418522; 327653887; 213474144; 326829266; 836547073; 295916132; 853832486; 315986389; 218437138; 542721607; 476637614; 506837195; 502480932; 576360738; 912684430; 574035845; 187837674; 18796986; 521066136; 626115837; 267716830; 365875508; 946134001; 327778673; 42723681; 610404364; 589200680; 13113228; 248531608; 904965550; 926571901; 157924153; 852625222; 253068432; 942970458; 770971644; 841600990; 913283778; 431835096; 127701545; 478115772; 774894189; 43908397; 617756480; 274266143; 777205639; 48436117; 307443798; 306538936; 510728881; 317678196; 795395664; 621593057; 688247337; 976029814; 327993277; 948440397; 480378356; 966690718; 665809615; 100432262; 976857390; 886332098; 873476823; 564751098; 922164883; 89557981; 714268503; 579357314; 719971399; 623545657; 201893267; 133982505; 958366251; 188136455; 111128181; 331798975; 691408490; 28831126; 6775001; 389199668; 146065215; 388435881; 170763116; 942650367; 784902834; 859018783; 40091388; 408170389; 537755027; 91705508; 897836136; 804538818; 751857422; 150722947; 252292879; 906764829; 876861903; 572827041; 774231497; 966883782; 600669538; 60727346; 594849838; 137369791; 60151235; 279548987; 740482972; 365022610; 437421257; 472472776; 325693648; 462659347; 901939347; 329549203; 690609580; 432205164; 9157621; 742222914; 867716465; 391176607; 142824827; 919797755; 29422219; 858212791; 113243081; 515206347; 123352417; 124310355; 581902871; 692955514; 193179223; 120947612; 780667084; 195845686; 282668929; 773399011; 902370267; 72743490; 447927540; 539970413; 202279126; 618179301; 757727971; 805236810; 587926366; 913086970; 719864351; 253084109; 21846546; 148016384; 177864964; 813811611; 177037415; 778026288; 905864225; 879014793; 319163686; 685948883; 816665283; 339084004; 899249783; 819146688; 527436856; 513870628; 788931159; 568653060; 34991929; 996765027; 920518752; 806700487; 959821437; 267997479; 181919380; 139427519; 322837696; 971247558; 898793783; 141034000; 47064671; 651861915; 35086504; 166109558; 528392704; 149618522; 262414755; 614472139; 486647147; 494254189; 245691628; 225397917; 771234796; 493281498; 429754018; 369102842; 284504182; 14066854; 922998025; 387087423; 401124734; 813784588; 523552982; 888063375; 2780235; 60383251; 184399857; 908693674; 629022306; 809614407; 909270088; 251625985; 430745056; 720630766; 246860881; 198878428; 757951061; 733440638; 736131215; 699313932; 337243294; 570704448; 364204858; 456525009; 954981464; 404334987; 705495032; 686919890; 216412449; 390528199; 383451243; 132400905; 261934898; 341733037; 985840218; 974034486; 114271227; 857894643; 534596624; 931659514; 595085799; 32830291; 39647797; 654163924; 528855273; 4163342; 290230882; 408652105; 536093775; 667250961; 389917672; 629092315; 999450648; 971476784; 480046574; 862846223; 520726960; 711900; 551892082; 927149816; 445714364; 920633995; 916583065; 768716360; 496190617; 891421291; 76197819; 714388753; 638722831; 933063722; 695983506; 213229474; 343888563; 302442438; 544403001; 131198613; 745325242; 100701469; 591768667; 400415060; 507407809; 865193032; 116359748; 899145702; 944023234; 207155618; 799655861; 345263167; 418005088; 411897764; 672510429; 22600415; 118787049; 998737128; 234312040; 781997429; 769722754; 831316579; 712871081; 733698423; 598778664; 220907032; 271960907; 957611509; 208440159; 861577264; 967238881; 411625980; 586601042; 31719116; 272335531; 600581978; 470750673; 987950526; 261726094; 467273992; 901983038; 538611613; 225652353; 793254257; 204180096; 378716572; 664448740; 693881871; 839899577; 764475526; 266600222; 929501041; 507376520; 250116696; 224669799; 457017903; 133196122; 924703312; 26239488; 405843737; 661202830; 220200731; 299764280; 639979754; 679137159; 485513356; 63525400; 660861265; 723051326; 194234073; 6189175; 4940641; 904873142; 493982596; 411368875; 745562888; 331404346; 509906787; 954521422; 32640292; 404850513; 701854898; 291710210; 690721043; 760483851; 637314822; 525861163; 593861334; 731510714; 111100769; 148725503; 951950588; 268641578; 655813636; 286432518; 728031645; 653033289; 154437464; 678105744; 990468424; 978122233; 925627685; 720559438; 802092890; 776725803; 973222759; 179535230; 433444836; 621585749; 683431896; 891600330; 153075488; 716239588; 363697568; 549660085; 734964305; 669861153; 337284999; 93266559; 279733320; 980731461; 809775392; 683093364; 113578100; 364170401; 826625648; 616117392; 601229389; 844131111; 996589078; 72602323; 871903812; 682176966; 571741668; 777999223; 244639293; 999577531; 704164217; 850885214; 561120263; 150580631; 110025599; 474258865; 479464651; 665203750; 983236011; 466079958; 460144500; 389127370; 746427865; 81175346; 141635259; 772278259; 522949561; 999375162; 440820155; 716541506; 693346353; 640408470; 630615834; 163022026; 393668813; 616828456; 229131703; 2412587; 12294336; 513863155; 140876111; 431352122; 34883960; 448972095; 140755480; 939015544; 734235693; 551521290; 396033048; 4149768; 727955208; 414964435; 947438184; 876884060; 326702095; 626269364; 527686663; 405861532; 657023516; 728828355; 258733585; 876808207; 243000351; 866023334; 412330504; 530377894; 785068463; 355837179; 653576374; 222767463; 570908155; 640734930; 949208833; 38831890; 731920276; 848804754; 695126396; 455630591; 498936699; 519308347; 82109727; 238067085; 218182478; 139574790; 180429266; 522210421; 77527403; 613613492; 590838697; 11926175; 502335492; 308404094; 616437276; 761371914; 184977032; 782059846; 280001309; 11927892; 524208726; 686121466; 858651710; 547028887; 624696561; 774823572; 472480839; 124316134; 326106526; 210819929; 644884489; 1343671; 245403188; 334936991; 262543185; 321538591; 716393651; 917848660; 764160243; 169767408; 609768419; 900707996; 998511126; 983039154; 450174782; 55504538; 547114589; 537939590; 103579505; 89764400; 499060390; 637576283; 922462861; 623051201; 270377986; 890402635; 262701236; 467001171; 159044112; 709162711; 815222942; 151003562; 818775764; 488131936; 848624275; 71450854; 745112634; 262682477; 37924678; 534928391; 665564801; 102683437; 846203906; 291332406; 68849837; 415595672; 553769204; 845982950; 21588256; 813561246; 240195245; 989724376; 535437375; 600102086; 451751172; 674976834; 313770734; 822853548; 600821898; 650905106; 641246955; 218427387; 224391087; 754727151; 681521127; 667766811; 244880664; 362950515; 733244051; 343444408; 967469830; 149423327; 719201383; 182089659; 986203540; 29011796; 870498989; 171732664; 514743605; 375666054; 333608574; 138562039; 862404750; 719025887; 56009660; 682539953; 746036723; 785011749; 665312701; 102991323; 109988203; 433332181; 449569210; 543381559; 78360608; 229422931; 316273687; 653128913; 291118305; 367033528; 354710556; 500897961; 219233984; 226576592; 838930779; 417459117; 292845441; 84602220; 675175188; 945473021; 517845033; 648078998; 160207906; 648649914; 375160597; 606199996; 471183966; 954393555; 689794053; 431031433; 150102334; 916610517; 905777587; 360890199; 850899138; 240630736; 443669701; 48433269; 824372388; 425664823; 285703100; 305334223; 361709041; 717817130; 179000360; 22945206; 346908812; 649624837; 20170505; 712450518; 363814046; 923670183; 638830024; 61696735; 535131671; 642997116; 149404229; 404135851; 825685775; 941723964; 489770264; 491059513; 225953857; 560213359; 37381747; 478195287; 62289684; 43088982; 511633201; 13573168; 590983808; 861413758; 212187091; 28766105; 88573500; 542767436; 814761843; 106149206; 109265322; 168139134; 39588156; 888956027; 963977908; 876801940; 808538325; 796205940; 98901023; 553111699; 251371369; 925993364; 275332774; 353717302; 929306911; 149942386; 458059983; 958895709; 296560809; 978477384; 300483889; 37755941; 752542151; 217790131; 498041350; 937603851; 145536104; 418403807; 523162280; 79565821; 185879672; 278844397; 285640054; 804754853; 112479171; 2861596; 462200381; 636694272; 513904413; 157177342; 836280404; 184367370; 39289255; 403856351; 610344408; 833280427; 181347066; 335687503; 462679806; 676084168; 62480982; 318662902; 201889070; 116884043; 680246875; 553070118; 671074635; 267975454; 957648018; 421946304; 857712873; 273649091; 529741171; 415926534; 528974234; 802612655; 399987876; 846844985; 309698160; 775507669; 903684035; 165577354; 839728227; 23314109; 580507739; 518326716; 339349883; 322917474; 403780146; 101248936; 183351208; 485183992; 899287009; 230216388; 476153534; 476180881; 126872321; 461482354; 209826151; 202199348; 861283539; 443326814; 140107613; 865756176; 766226341; 424330470; 717028809; 498299923; 608087393; 780066013; 998012147; 277589888; 636892530; 915263301; 960275975; 742789189; 869125153; 828401347; 67305991; 401508942; 266211210; 391178858; 999604450; 99821455; 669502030; 671713539; 43271555; 258296097; 246353842; 430770486; 60303; 223469743; 159450586; 27998647; 338201520; 795043157; 247235419; 268633373; 612391187; 181564339; 52570901; 236386178; 863242103; 7678825; 473458473; 318010217; 906646618; 879691340; 966178235; 75780991; 370824841; 116624861; 576549259; 944040769; 986195432; 824554420; 679196196; 799126052; 587662237; 561795735; 42355331; 108984884; 407828316; 465197912; 966481559; 893227525; 6795154; 746807368; 956601637; 842362556; 788793565; 825282315; 294503251; 66141413; 501306726; 554349921; 378508021; 67255273; 409932925; 132510741; 839067377; 544698248; 425052546; 454631494; 253882207; 282033677; 473613276; 409123796; 212259467; 219507552; 432051513; 134552237; 782589502; 104587457; 805099852; 621686092; 307677090; 149127423; 738555759; 37091998; 326275650; 383234334; 806427721; 751437504; 438843618; 520928746; 911631242; 202301160; 861926799; 326322946; 499263980; 828409281; 599841411; 867420740; 925785656; 28711916; 906146755; 649130256; 874456776; 617574247; 516321250; 971095261; 103859731; 197436243; 690601790; 777983924; 831308642; 499837113; 342843208; 866153407; 32770461; 215641641; 71436856; 581312876; 146890445; 383187688; 273693177; 724837601; 551716450; 494345814; 39520618; 680201151; 762771021; 956022376; 929320618; 509370460; 498283605; 160713860; 191768148; 586313956; 654163874; 79916786; 772788632; 422138495; 907028585; 733815728; 920722380; 914763921; 868362416; 148485132; 903114571; 798150975; 67457889; 646387851; 99708242; 632239330; 278591696; 179592392; 184729438; 287806359; 407219041; 784718253; 69721491; 930354925; 895201432; 687908854; 836338718; 589228052; 300509746; 494516678; 206697133; 378463131; 490352449; 693472309; 409918506; 220644021; 828277036; 173914740; 204896122; 606243202; 40301597; 153552096; 974330964; 660023490; 716079297; 815684250; 103558465; 982664142; 258809696; 152641969; 202591601; 163899103; 994906817; 585093459; 683591612; 201003775; 497576039; 262522396; 37828791; 277369834; 900994408; 506017878; 844237799; 723699604; 233804001; 899089482; 466561118; 528040275; 288406710; 836203606; 785980489; 628655494; 43261734; 207115046; 696365649; 705056529; 683643403; 641462721; 371512969; 834555095; 201393204; 879007237; 618142198; 549712120; 458219540; 717288811; 34860271; 822273050; 227705657; 525039836; 859952718; 254644020; 947105971; 142810503; 446633396; 780695772; 731581263; 623257091; 312551899; 233721043; 93523055; 437469135; 378941459; 160391489; 196704840; 77006501; 709463535; 419702806; 437283271; 295170512; 614120860; 936408982; 347034594; 93382315; 695423766; 270139380; 252725; 803344799; 85225899; 427296361; 555323618; 233133837; 918619780; 797357979; 352315640; 403758121; 699335142; 233637578; 344511428; 950881430; 758192197; 789669696; 205468194; 285105309; 197163772; 312368791; 621913299; 697228543; 875245373; 433117553; 284384640; 470179353; 8444376; 208744058; 372707189; 156194697; 406743001; 434400566; 364687364; 594968395; 695397211; 55948840; 683344559; 979069432; 534293505; 309084727; 187051626; 816628362; 978579426; 265658374; 600880858; 296245550; 542424593; 110739241; 10276331; 91621325; 388370316; 492914032; 276802354; 604366877; 623452743; 806858505; 449146410; 313894710; 886503824; 573383623; 855827797; 193668767; 386068605; 876146368; 675023967; 15696195; 24256176; 660023795; 30181978; 17584916; 691445663; 874281186; 767821870; 569342509; 935431676; 150373153; 563667042; 638663738; 902389347; 952013547; 898338050; 764972961; 260241056; 258424481; 174044528; 454714853; 142911426; 189317039; 486892826; 451274134; 967532401; 469461175; 226186167; 873568232; 24899818; 965102317; 642284849; 515462306; 508830842; 560504650; 758749914; 526600173; 413889574; 679064381; 219209453; 796923916; 111804355; 282087985; 236881997; 800834230; 525042374; 228058331; 893366181; 371136683; 909719192; 641056845; 97410286; 302853331; 810993527; 763514029; 306961333; 699679877; 257896013; 806565650; 537709563; 876754489; 748334113; 81995219; 157881863; 140842264; 670282077; 547985458; 64513214; 405928609; 994525577; 376947787; 304233154; 915511490; 863968649; 873667084; 122461715; 797712349; 375774139; 897830234; 971416937; 186664125; 107717316; 887630980; 378935547; 552317867; 823875799; 271799030; 549100442; 750932927; 181122136; 683205237; 953835599; 799411681; 161647711; 518973034; 458722690; 29111485; 726813390; 711840987; 758857822; 573611555; 90038192; 345107778; 299452619; 194944513; 4666924; 782941744; 54925165; 305996020; 469147598; 887746949; 348483533; 985127971; 508548865; 151477073; 868536934; 80821492; 933206658; 179469716; 425829410; 893897979; 34667461; 720672741; 160143784; 319860638; 198799829; 785290106; 145639426; 764012831; 540715677; 410956625; 391885080; 466611052; 874019715; 484318287; 50294484; 997290875; 399313346; 852020155; 105152784; 204170844; 219260526; 158512409; 707395269; 153696777; 287569801; 620145605; 482753765; 266302509; 215680523; 199117104; 743997999; 899779784; 950991754; 622097178; 420341233; 463516342; 501647306; 745975833; 113018382; 960022410; 291602574; 263962459; 188116449; 954094284; 382849089; 46590717; 348069866; 485389647; 508458554; 89525595; 233652481; 696516926; 24321184; 163872200; 735951302; 300226949; 248741928; 632317909; 136282234; 143719374; 975195597; 55208784; 564752192; 981124424; 223828321; 538830707; 711313649; 66974071; 437098027; 336175281; 590238409; 167356767; 526276073; 514768947; 868519304; 221412521; 816670724; 18801863; 379524911; 883331803; 242017101; 893190695; 82237653; 934864756; 852672273; 416459172; 246374481; 741868360; 280981989; 43715295; 405549333; 415067929; 820035538; 544928107; 866603690; 503156359; 547226788; 97248285; 22159204; 959837922; 403646071; 488036984; 345874502; 653887929; 189576369; 233490135; 478231519; 508179005; 25340513; 26478687; 810417562; 730620894; 607298558; 560947072; 235915960; 398674805; 565106168; 662628926; 312399783; 754856819; 585232429; 597194457; 305675515; 74459999; 377900109; 522643437; 228637621; 861375469; 336670545; 448349245; 829531542; 13531289; 358909926; 11563703; 538337238; 929960995; 192173963; 939460069; 8389419; 890620625; 531532432; 258499297; 694712933; 264653999; 386159160; 448095995; 67838328; 981277457; 348170804; 515999819; 262238375; 381082040; 572959823; 294562831; 87770856; 271361957; 591427066; 563210504; 70251544; 318825048; 530836914; 574371096; 396777387; 320126943; 497018950; 598846491; 438541602; 756191772; 853387698; 411348887; 908007414; 671603185; 269756636; 697390505; 369766151; 756858016; 956197792; 561950482; 404392790; 716221604; 43246742; 624350133; 526883941; 818821270; 365755519; 258826429; 898101016; 664534882; 259303149; 368628354; 37404244; 848104107; 745110804; 381716125; 339951589; 586708010; 454065748; 71316035; 515206090; 237836906; 968014943; 565825718; 890667493; 31226507; 508594272; 50955851; 503890031; 564294466; 197712730; 274175372; 593339530; 305436426; 51776934; 417045366; 690567719; 722347073; 121887735; 636846; 512102589; 718907937; 160650633; 414966735; 574292294; 260747385; 191997848; 470374250; 946488980; 641494831; 56205254; 932319973; 887660777; 958753808; 442171022; 589483473; 725592812; 244616412; 117573291; 647070249; 565860621; 858831203; 553639809; 56040835; 118411056; 164407534; 322194030; 419610972; 666942108; 25802237; 221901613; 39840244; 786745379; 676336474; 939300035; 334930840; 121542381; 690663717; 191409310; 283016110; 795501849; 282921733; 362047173; 377572928; 378480347; 316194427; 633424204; 249498490; 249628144; 895488240; 141289038; 272388798; 39463673; 45049505; 376528305; 210179894; 4017612; 765645235; 204981814; 135735651; 571614673; 113738763; 990547483; 157829164; 118386828; 341141042; 354510356; 394922004; 449842189; 871555953; 699194617; 670042312; 447279936; 582317882; 1940768; 98273502; 776115414; 78997919; 190916599; 802764879; 553454346; 103954446; 835339133; 878234966; 854172638; 310481275; 566555306; 4827650; 254452092; 829095682; 858395929; 998156182; 414121733; 576247307; 981597730; 865373827; 490714776; 496762144; 491743134; 177607724; 630245385; 893315060; 732826454; 488915486; 533315707; 135071200; 136067571; 919534489; 542487929; 706386933; 590939102; 237893857; 132938132; 107694361; 328898991; 121484995; 277681880; 107860831; 336585002; 586712386; 273320974; 162940780; 159093931; 210861603; 390443515; 174031772; 947755415; 528380380; 600438489; 470851073; 22642529; 584317181; 77828744; 992573789; 501604831; 626911249; 794697508; 525999330; 422097790; 7017574; 449625986; 100410684; 416624579; 545678797; 1265032; 903335123; 249187808; 68331025; 385538065; 831521089; 93135389; 687373064; 806324465; 890752633; 63069127; 999375199; 222994774; 703575047; 866218339; 511820586; 183420397; 158491556; 272519360; 224179399; 537460989; 159633697; 747610142; 392291181; 499851857; 800942699; 94209326; 538402059; 86791634; 199726542; 496071039; 952316915; 911925699; 180388437; 561989133; 389876895; 754982287; 554988352; 561502683; 404442959; 185498990; 902861475; 235682024; 875047597; 353320622; 276889634; 753322412; 686129529; 817945105; 428840147; 469791041; 71218325; 329787101; 875838129; 824133780; 831832514; 379067057; 526981431; 226292434; 809213613; 222768309; 431381502; 400524577; 202870433; 845394727; 259955145; 187763726; 465121830; 346314649; 320618507; 665618727; 599905082; 754461801; 405389186; 857018504; 889477477; 651978919; 209143232; 569193395; 98921660; 361997820; 616528367; 855802305; 153283187; 237567371; 751406283; 593844100; 345130588; 599285003; 129063650; 113855211; 72587103; 590815347; 640765707; 421089207; 164922934; 385109240; 287810894; 168528536; 404808336; 486590084; 696469943; 608464094; 74467210; 838232319; 539089408; 396068999; 915599626; 362636577; 841602591; 580097173; 280703823; 278101088; 404871083; 914361822; 137309648; 268742932; 884288832; 43911715; 789872596; 892665295; 250479643; 577329952; 576315413; 506158942; 108852218; 504392083; 405531695; 534883148; 392198980; 882945432; 509397114; 471617656; 790704890; 411370532; 114382991; 372416505; 368471305; 226578505; 27875610; 53774096; 494946819; 50415946; 75099234; 269109491; 846265466; 861701084; 116827553; 346374561; 361055818; 895645402; 934792876; 850250270; 694812370; 787423986; 433399809; 245666961; 766188603; 23049881; 955543901; 905728306; 462235474; 82672144; 480670745; 741215897; 199563051; 385482569; 298635756; 851373061; 829327678; 189727707; 128912617; 963425809; 110802210; 990682153; 474363121; 871990026; 340329925; 482431799; 399925325; 255205448; 342079157; 715711859; 39847254; 904088100; 982786021; 478186541; 587438430; 330764922; 505339093; 860935445; 135183198; 769135979; 290394826; 389008135; 43429799; 982628510; 318762927; 500314578; 937054149; 487902775; 121372993; 13709225; 392449771; 162464475; 566184074; 531267749; 301477215; 624785468; 389341419; 385435134; 227322135; 801781926; 188104232; 283196615; 160365113; 581056190; 317857363; 865785190; 937913028; 126940639; 560715083; 826826858; 696527655; 228660818; 341330262; 490264674; 99035217; 956769417; 43415017; 626974220; 484739338; 398044696; 629066880; 511035683; 917652682; 816666236; 738289452; 562023190; 763721953; 811347185; 872413421; 298962947; 683302008; 806492002; 311288274; 758878112; 781642740; 546929653; 86838099; 347954160; 410800277; 708019071; 428796195; 240381087; 111249697; 470521723; 878004287; 749893101; 926115153; 766918872; 313384902; 282514125; 693559512; 410619175; 550574002; 407264197; 842111779; 659304626; 408802622; 365498663; 789707351; 889638136; 334285344; 494976651; 968668286; 954846953; 368720128; 760936126; 831181971; 552170313; 412087386; 572626412; 143030824; 786996318; 749700913; 762341634; 114337125; 628008929; 929185922; 934028724; 491686710; 771401120; 325826225; 202348777; 615107456; 273284693; 600543652; 50752360; 126805969; 614737460; 636765451; 647109158; 94437640; 788397681; 284207207; 382573419; 929742652; 175298806; 716723880; 108141843; 166305017; 616313653; 74722255; 555618663; 518007720; 586481551; 651507213; 488005339; 620294443; 717100095; 9717322; 357740149; 671767197; 910916252; 424069911; 599048828; 869717096; 529228725; 469225815; 515460374; 594338267; 520333183; 541090644; 912264580; 904337760; 231987686; 862786820; 802363828; 537763354; 858161862; 792479596; 852123267; 859618453; 578460562; 215256569; 985573552; 967853472; 646617428; 91309097; 862662274; 110458276; 662116844; 693710585; 168520340; 432655071; 932398443; 976468558; 68592319; 721838937; 730171891; 248385497; 708534510; 163710167; 292095449; 650717376; 384781381; 743704575; 967799158; 323357458; 682193918; 274946255; 995632778; 269137745; 690331831; 359002061; 938163282; 700167185; 441672117; 106606811; 599862772; 634798515; 994372954; 663848195; 594144281; 927632734; 551702665; 329759823; 490147282; 859850790; 760227946; 453739783; 543959965; 579362595; 823994490; 722053778; 677036864; 449909459; 495166545; 730780537; 155549731; 335369447; 570066131; 704098367; 285469967; 987132026; 559732429; 540410959; 159228312; 565909814; 895746125; 770040567; 197382773; 78676379; 953438936; 603004260; 500936672; 218021666; 108803126; 962280751; 493199984; 275799633; 655325422; 117544957; 67882297; 832840614; 895904863; 161439503; 193914677; 999811802; 271184450; 223965536; 321557566; 604804816; 464713825; 416286916; 717398357; 708059032; 592207029; 140214521; 941799187; 319151700; 15291444; 847182472; 417155278; 863201543; 587064960; 238506183; 836526635; 249795870; 81061827; 272359471; 545600756; 371697085; 763755565; 232618784; 426640390; 402728803; 226944363; 70831802; 82494286; 47171629; 763751272; 877549282; 305117867; 138828288; 755795023; 289702146; 678986457; 871810178; 67193163; 120052191; 954786038; 747466406; 370056051; 316177627; 678620700; 479497118; 251778792; 151857509; 7077282; 804770544; 12116986; 303816762; 783125253; 350517603; 46967405; 724105147; 547380804; 666863832; 807569095; 40346021; 800106796; 661559140; 665173898; 280463093; 31074576; 322138290; 599321817; 725887140; 243145555; 760727039; 915643557; 747028016; 361042556; 894809813; 577086541; 989451413; 84956926; 38888761; 665232001; 904241394; 931570960; 258546120; 53961456; 635979889; 345007332; 797931551; 918889723; 728512363; 27100800; 303917354; 62805133; 654051042; 655533258; 645278238; 724238932; 589514164; 805328818; 158784661; 125486099; 219091020; 304643090; 420468971; 757453148; 560259634; 727239974; 903087849; 699986947; 675949719; 935997518; 582924635; 336469611; 614097112; 942252990; 199221366; 831072648; 587643128; 385735445; 168142593; 556922810; 417405662; 329065738; 163026156; 840396234; 607539188; 374843690; 669697568; 316305352; 605653073; 472444499; 799289649; 5532541; 650266281; 908555849; 933138546; 860990846; 623466296; 109796920; 584498060; 350025516; 838413983; 56579103; 434796545; 696928870; 174463777; 102883399; 641519407; 344379012; 227243608; 885650530; 984889845; 872409764; 122494110; 181658728; 589283123; 35057101; 47380874; 721999086; 457605499; 124243585; 41419963; 59663770; 874399262; 367747447; 928452355; 842944276; 508718153; 121126902; 46827602; 515091845; 221428344; 481888470; 567414921; 473194436; 209389437; 228873364; 321061797; 841760778; 985486962; 405734041; 315771199; 451485835; 314407439; 379378607; 389414735; 287736463; 449313374; 140468628; 388856224; 956381493; 718303417; 58484561; 602398830; 664838024; 686643003; 613603750; 416297718; 281437202; 283723289; 993700708; 446290658; 177070294; 465380303; 20893500; 263180947; 586100343; 641350356; 568064335; 430067240; 814200544; 3567442; 678205760; 963812405; 5454662; 882118012; 989033018; 232020473; 802258265; 616794291; 75840527; 446564186; 60370171; 377084395; 45837857; 254027712; 863258937; 633787774; 843307359; 901566376; 458479242; 908727799; 111114474; 79109951; 937722111; 489669138; 457376752; 355603028; 739521490; 458955330; 810060311; 257754372; 283208811; 932651230; 969919994; 659432050; 227733030; 374222468; 460275823; 969601145; 462016313; 503905488; 206081523; 783051750; 972220761; 384399402; 709208064; 882127022; 539417312; 660275008; 843606073; 753053480; 613537001; 635216179; 160997453; 131114301; 471532844; 20051654; 632054216; 119474483; 739361674; 387434727; 388506446; 720667059; 542357321; 30562057; 254434164; 507337002; 293416315; 113940441; 333855272; 838517635; 236620935; 986007058; 438968291; 537442288; 639470852; 871837629; 316479540; 46933564; 35774178; 129419506; 201279556; 821381798; 778839415; 886105382; 344307782; 873550367; 588711921; 776177207; 573848830; 282660687; 580938295; 581281942; 667751962; 690934143; 346412941; 101867075; 372732157; 699646389; 323269763; 314915448; 466933915; 284770712; 671865971; 955139052; 760113685; 884388647; 100895882; 915695156; 468675065; 540590271; 290183982; 815685406; 160613378; 355143423; 313432517; 857543316; 462823962; 734821719; 497243277; 29162460; 825376784; 782906448; 406882721; 908727777; 407875032; 60288004; 232623240; 734861264; 663842988; 470879842; 507767374; 775478191; 75193663; 155859958; 915445869; 707415831; 261309633; 622736095; 893809054; 576939527; 351804799; 648225574; 501509789; 815979444; 766622992; 153700874; 395358500; 713865332; 581210797; 481445631; 549835015; 301304300; 291888950; 747924108; 410371589; 985582887; 571929626; 551675702; 956029061; 82402804; 104893878; 66460170; 145996633; 653756537; 76854097; 522675148; 857601709; 315350935; 609872790; 743056100; 10290668; 850978662; 646002570; 942132543; 457137174; 953034925; 626565588; 956796768; 168671130; 618518818; 482762276; 756169102; 773830852; 564770931; 156236886; 913541838; 198264906; 261270788; 700151910; 982850738; 807514705; 642484888; 268814421; 973890390; 332393578; 256226335; 548032193; 746276232; 14965220; 449203065; 475591467; 450927734; 402836993; 966379948; 487886229; 565109301; 109377857; 330244610; 483285356; 675611747; 149415529; 587796778; 558422809; 460546550; 482836461; 692763117; 368508689; 388202470; 60954542; 808758825; 562888743; 572765398; 733029857; 861904455; 239842326; 667100302; 193139094; 842664278; 496588707; 442737485; 865708308; 240037998; 339091539; 644030248; 217276417; 547790371; 777551319; 871591325; 699568382; 256522539; 363115456; 578090236; 20691150; 54493771; 509875932; 832788116; 83775256; 95923646; 581934307; 137616677; 231504737; 957746752; 29436027; 59584405; 451413067; 54874763; 816668805; 671229567; 930790237; 159583389; 251518215; 25264721; 196288042; 852221960; 119796398; 784199117; 157766725; 376689328; 63975925; 653565846; 275071181; 320602829; 724419619; 242348220; 942058090; 234941555; 699563922; 722092216; 389102861; 996276086; 651949173; 939328987; 266073259; 929687564; 337930201; 321325573; 559323711; 686055839; 768403546; 743141393; 453550650; 394859039; 379778228; 738944807; 748783687; 980799175; 652027468; 659289120; 137657; 216327066; 64573497; 480953810; 24610623; 75075422; 423231718; 429223716; 102480287; 623920276; 50111737; 188594822; 60370349; 278101133; 263020853; 305671423; 470437590; 862999123; 208103445; 810865801; 708568586; 191082083; 391324720; 478227104; 723267228; 684975202; 125713971; 904206207; 192777025; 966349701; 72157773; 660603727; 777805510; 408625874; 663706244; 817508868; 34901011; 398931444; 218679528; 658381318; 366280942; 858991986; 936707950; 558481535; 985562464; 549532782; 385267796; 293846877; 457953406; 938874690; 437185270; 797469272; 887022183; 252894543; 88926513; 170406627; 735104856; 512459895; 208178933; 871797316; 473165858; 301399145; 209816870; 598145315; 309718012; 796305091; 498066683; 17825754; 550528081; 621451166; 649476299; 355783481; 741641622; 759341721; 433099985; 501565184; 88932769; 649961467; 974813613; 675047827; 116031492; 32019323; 767376963; 86999109; 19121768; 474828967; 358541041; 943322613; 982108093; 708909189; 835302523; 726689511; 999142504; 534362710; 316045480; 34619127; 575619520; 76263275; 969949501; 114708174; 540281884; 622786878; 957492434; 350849804; 179298647; 313241771; 162586442; 142158064; 514242080; 868230450; 820659724; 857540468; 785191701; 362891153; 486150784; 777170000; 492026078; 798039520; 185769037; 753102021; 853606422; 427625100; 639257235; 535604816; 995321504; 262393481; 815388674; 422697295; 48147555; 676761599; 154286519; 48577932; 815833710; 884125321; 632970074; 894235738; 362576464; 159328838; 35430185; 729499639; 436266769; 776649271; 120118498; 570513597; 701421691; 115980820; 71416763; 579528587; 987804530; 484822013; 243444711; 880587221; 922859164; 884909783; 851959317; 29399536; 369343603; 505732731; 916593763; 510131119; 540801054; 653184030; 187753011; 928711041; 709847553; 506088485; 782679315; 522839078; 418168965; 709002609; 90270500; 248660466; 560190737; 32571711; 230044390; 932438923; 976817630; 939838531; 544197230; 775711724; 333606106; 671129638; 597233748; 883892508; 669845183; 261336736; 922978719; 795998337; 50608423; 246799393; 624467322; 59178255; 24046132; 703440979; 712409682; 85546089; 852088556; 42170354; 948651642; 984162856; 237823862; 421154555; 199897334; 558134773; 607149313; 638523761; 833666516; 991948550; 249494963; 757449586; 442347429; 76119307; 390260552; 884504379; 392681516; 166416488; 649194582; 218541808; 271187088; 383291635; 796279794; 274196696; 684405333; 548472713; 906051184; 751054300; 485586257; 144386271; 888344929; 74748512; 447809936; 583446762; 19581893; 894152515; 390460861; 488528169; 652798618; 14444536; 175632075; 987455175; 295097537; 973540034; 460323872; 105249470; 649043995; 776676652; 282150216; 714310662; 718779979; 398223952; 299198175; 328991635; 36393279; 340221541; 827920729; 457381378; 684680628; 929119244; 22354383; 789137600; 650408687; 444549636; 553665248; 582612189; 555590739; 212253201; 965989973; 594239168; 253608745; 995768864; 457435154; 543035078; 2248885; 654759280; 834849662; 309274846; 530083128; 366691311; 660961255; 58619697; 728295044; 587707606; 102357175; 310094318; 288080786; 321338701; 1182051; 220156242; 328295173; 592034956; 901287287; 747865792; 188106321; 589912844; 852171067; 740059286; 357949380; 384644691; 588978300; 523094135; 217788490; 89494962; 180234948; 736656731; 318943299; 160499898; 291398476; 922693216; 777437558; 624086432; 148456182; 830642854; 251624795; 423970932; 202949644; 491732252; 565132469; 456316311; 27294474; 10035858; 53525883; 451859416; 643412752; 733328874; 969411146; 822300500; 762025683; 207013906; 770417506; 488161061; 463677463; 322997933; 315725620; 319380490; 85540312; 434546554; 387080446; 197991575; 300705099; 419718760; 40408396; 478262670; 871427645; 310941319; 648344704; 891769098; 237210541; 144998535; 650827289; 24862955; 856412834; 484581405; 770849262; 607348091; 844430826; 115986906; 425338034; 674728775; 778769777; 991953447; 783732657; 982255925; 836946564; 681235788; 798397769; 363445362; 925820880; 894609452; 131751947; 918886485; 167128016; 776091654; 902179214; 670994100; 889968414; 970130491; 862844392; 934921294; 290641727; 263990486; 2864898; 149750784; 876099263; 128683527; 886820246; 239679034; 949634624; 621345277; 818023832; 990247814; 435235006; 48977319; 453399809; 750024669; 285359138; 114144531; 807555322; 809491321; 162756319; 52291363; 934341339; 207246222; 118035422; 171790607; 857212698; 24839663; 499620264; 578997501; 345718438; 205937020; 82673247; 453471154; 231577118; 303131208; 39853326; 518260968; 569328908; 63496602; 488358763; 910109771; 21360296; 558002536; 704131473; 697249226; 711301632; 129597963; 388615960; 943869557; 143350160; 988547273; 676227895; 845462245; 886626767; 528137195; 513788313; 668898292; 269084948; 551154063; 807788613; 26103586; 310426727; 311339013; 834380238; 154493386; 483695126; 289318437; 586280190; 26548261; 7283416; 89245440; 360280220; 952577866; 816747470; 557028923; 802131872; 508060257; 620521231; 474537912; 744825374; 69604801; 308525730; 84695174; 591867610; 120212845; 175611464; 231751606; 446624590; 845826964; 430374047; 527783653; 969359864; 64822786; 841062228; 316631041; 826138528; 852049229; 412712052; 561206530; 121570441; 444847715; 840493482; 709945745; 848677410; 245960863; 479574179; 472697818; 715320524; 697320624; 720393157; 747239366; 729294919; 924468096; 295101091; 652083784; 885843515; 13371458; 148593491; 205359243; 734589082; 59728493; 884680624; 18457062; 822863653; 507946405; 973450327; 773557980; 496486605; 255558398; 706776931; 145377721; 406410711; 79570497; 939529110; 306324733; 486148326; 86785080; 476541897; 653840476; 757250851; 67489028; 126182943; 69140492; 29574647; 949491848; 252625109; 73599928; 672348729; 149095247; 571889151; 489380583; 826090102; 851865426; 848630840; 831143770; 927940860; 619503143; 129907681; 772739462; 794501576; 31304554; 311155653; 332351895; 333654826; 116503577; 73710831; 417918694; 368975389; 133068778; 354758169; 248430663; 15843119; 336985152; 295584574; 600987564; 636887706; 838429041; 188235390; 324880755; 388380709; 336657773; 879941224; 848384691; 36146591; 600276757; 728053496; 707376712; 111507621; 650811524; 575452974; 152463533; 490815455; 416086578; 168615573; 481769626; 952616323; 471489029; 735902093; 470005652; 652087958; 579245266; 616320015; 704325889; 969504370; 914774334; 503395228; 718377621; 800321314; 662138244; 6305005; 530296332; 981461091; 549347225; 599600263; 388860091; 186879757; 438495100; 617857424; 385653770; 90478742; 671507059; 254842250; 135901418; 733491512; 150922238; 379157592; 799451221; 233502622; 625804484; 466305954; 377490104; 688288485; 273241383; 309478424; 835594738; 720842300; 982357554; 115656373; 834676933; 430478248; 503143171; 173238472; 427571859; 921830248; 137338547; 821487827; 201615458; 886867187; 793265870; 367463903; 984268128; 298311787; 933911332; 565413266; 268896445; 839990026; 666091212; 881359265; 580118873; 678283023; 842096409; 170481283; 140151982; 488301253; 79449612; 456525577; 600833054; 468411945; 736193161; 204745685; 37032092; 370242281; 13723900; 706597542; 366170135; 553449206; 569296242; 123730591; 374694847; 699909675; 288651045; 603067735; 738244691; 508276561; 174868985; 490936549; 633658369; 463863416; 557658950; 170838087; 682390346; 808653635; 943357045; 550973281; 216486041; 225356018; 509775253; 289879348; 301573230; 959442725; 97256980; 142519622; 182283062; 9566189; 200082690; 866306861; 752394944; 759729168; 980275533; 420244172; 238861132; 906712901; 295687898; 404613276; 427586780; 381750141; 862864683; 1297251; 692368336; 331106344; 850796084; 299866963; 523052043; 429288334; 25186276; 356164021; 728677867; 170361583; 672968286; 575731929; 651875664; 309149936; 925208609; 262290293; 932961282; 982315072; 360354091; 299742556; 329332864; 999362836; 28981786; 194400579; 772952052; 470546122; 537154999; 169370061; 229859370; 965311921; 193023775; 742834672; 530940332; 421685641; 381773403; 232062151; 335332054; 892876981; 760258017; 85394643; 4113555; 464698385; 596152962; 71958802; 788346187; 454850605; 120047356; 516416623; 999972; 895426000; 728187299; 406064332; 782153642; 893692752; 594531964; 563093747; 998362760; 2470949; 745610253; 371912117; 864002068; 336961344; 667200436; 887467851; 596158984; 710380000; 705716631; 400482622; 88539067; 316535414; 348370305; 688635391; 589424065; 608234029; 859934335; 388684826; 102248102; 578087852; 493001442; 828276357; 687740139; 222207346; 508622193; 881707278; 728572102; 175115485; 815903101; 979166259; 882084880; 181803828; 848406949; 754930462; 284981828; 637872412; 927494091; 810928174; 488106964; 842874688; 950530136; 663699859; 136630003; 512462453; 57083877; 794411550; 128563213; 232761918; 342805214; 266664459; 944621031; 144624113; 616825274; 819704090; 110505496; 327014583; 188440279; 952664801; 400320523; 964563963; 873409756; 146866028; 828094442; 768323002; 857632658; 161127238; 315726244; 876211356; 22685653; 996418457; 326989922; 640691378; 217881742; 799952346; 969841960; 13203400; 396902194; 173428387; 214927456; 368687246; 933091033; 162047364; 888555110; 268534779; 628182257; 275119034; 712025845; 924630465; 680414136; 50237978; 82220767; 680036585; 344010712; 809251897; 708560156; 638102011; 197079394; 911366089; 253657728; 986003455; 796774641; 246833453; 948657485; 301873356; 945127344; 13951295; 513744554; 798339102; 741189932; 535287569; 613469297; 253605547; 1800560; 520562570; 277329926; 589477608; 455945981; 710430285; 582489850; 281384298; 503497045; 511891915; 327161488; 815717416; 152401285; 286784010; 905234567; 203714002; 196367122; 711385025; 381521303; 212867426; 808606469; 201490735; 571210428; 411262499; 487552031; 472149612; 303203536; 941803373; 782042650; 730217815; 873280843; 704363366; 274999822; 741983096; 81083702; 612976873; 662209987; 755129588; 747170078; 958476579; 573875679; 158311987; 923340080; 591023194; 125553023; 669213501; 675141580; 358827979; 810069312; 398593225; 214054304; 97179496; 402183501; 704891888; 408470632; 62893040; 850751525; 699273128; 638930668; 777603883; 178499229; 548549432; 863950270; 113794654; 54988280; 904685702; 553679790; 187502790; 168858834; 458023718; 268917259; 187500090; 449289589; 662285318; 596185633; 838091909; 913938334; 254746751; 693613635; 216642677; 822697343; 845363251; 495885321; 601677789; 839062432; 529507783; 64434825; 124296920; 987029009; 680068745; 127374444; 118834555; 2863136; 661605656; 303973869; 290671081; 268081302; 191082244; 105040655; 221594662; 852198801; 990747204; 350369744; 865784729; 92617364; 189209287; 877466513; 464106106; 837478816; 314890040; 99640989; 599094142; 532323373; 141007793; 494106325; 314313824; 494957658; 610530720; 445565194; 977675134; 4162831; 690435067; 304133372; 310901006; 295135660; 509659227; 76544957; 292505392; 268905771; 94637348; 2141479; 591349; 999751743; 50435268; 438766902; 319327131; 943603117; 945932314; 851492293; 353266066; 921916622; 34607418; 535111543; 779045629; 939234255; 704958178; 152340085; 803905944; 851486590; 764036824; 335530310; 141690159; 57300842; 978841652; 654983930; 577948888; 902078083; 11946615; 645331410; 673198746; 1335135; 929713321; 124805759; 781712942; 801702334; 60398301; 295550045; 808315346; 712263022; 893729223; 156088814; 896992956; 445648173; 281250759; 68744316; 111605468; 2694717; 811568672; 308290290; 667784634; 790379514; 893833336; 304567376; 546724975; 930197338; 188093331; 865622934; 437728777; 738051237; 949881258; 582849525; 421634580; 358930384; 433522582; 997444807; 835962371; 80001165; 703265196; 313693843; 883368708; 687318883; 350812536; 59419419; 319853683; 883314210; 730431335; 431816450; 654909009; 180773041; 817249814; 591226173; 817098197; 642037801; 164700715; 903855940; 110382893; 764489475; 786116710; 904138969; 684286306; 70076604; 688581605; 726297464; 875997579; 607050254; 988457175; 346361738; 94055062; 301162263; 468770888; 619303949; 924804096; 795592534; 472202399; 90961313; 862543137; 950915502; 702164228; 31069988; 501982936; 576484821; 123640743; 57857243; 760091545; 365487923; 131861923; 945679602; 968529643; 515842042; 143240508; 66563648; 468839898; 614832714; 379845205; 91238117; 20445027; 762640657; 214381176; 793464743; 326816402; 517970761; 86736295; 495731745; 256670885; 214985148; 644645537; 900415129; 833914612; 367176694; 990901929; 617592137; 373887206; 73800046; 787723641; 530025531; 303535023; 500286414; 183716150; 575715844; 216829638; 579272370; 772185652; 465263202; 183765672; 635682593; 637777438; 992250701; 365940458; 924368015; 368262148; 528051475; 235237149; 81920684; 359616699; 158143666; 716277680; 646724350; 976010441; 999016025; 758331349; 873601511; 616385299; 576177104; 716411532; 404772990; 123753160; 206365718; 556683294; 38244380; 228998209; 361418778; 918986179; 619334480; 618354149; 53220092; 687276283; 665548534; 409701167; 460966019; 728043238; 544502818; 235621922; 974329286; 20768706; 182976962; 427180766; 533108884; 104547960; 159552897; 416392405; 887195713; 782476209; 815802159; 128584236; 120446613; 656565750; 308140529; 80421937; 538256581; 400067688; 586391470; 709818641; 175442272; 776423691; 160106332; 52141345; 187462193; 465280658; 240836361; 953256800; 115517311; 650268836; 211828638; 581591878; 448597769; 653030367; 113127542; 136099181; 935743748; 785003456; 671853642; 314127157; 347543101; 485539181; 337266127; 137005206; 262483544; 89957397; 956274660; 489851308; 509217124; 699870532; 722504877; 687288149; 80958156; 923593965; 218068021; 779683339; 40191735; 904853798; 64763288; 406745783; 149493121; 640487989; 560485689; 776971579; 260949072; 312976058; 797959177; 926147519; 552226611; 840171430; 269432475; 803629266; 424979420; 626903683; 28257564; 449393180; 944641834; 559936177; 678731006; 184083533; 878856587; 269480454; 200299500; 667373228; 924250489; 665721615; 960238012; 6727635; 379260533; 572573842; 385211721; 475175265; 497021086; 358215404; 817942701; 929188049; 503698688; 146232100; 576432156; 410889648; 112733364; 356303678; 842731274; 814370712; 160788762; 126499371; 939376998; 659977549; 402128272; 607092080; 434298277; 967084681; 352728549; 758358634; 776552580; 755540341; 567726687; 530108302; 146170195; 874700841; 121065119; 68045983; 421747073; 583020202; 917379575; 97835452; 181505544; 499338528; 243817826; 948719477; 555265455; 553672009; 200744656; 51474650; 328683421; 629523782; 785899411; 168351678; 668699603; 831769140; 17817315; 425505758; 193139191; 598521512; 848386535; 199706918; 304962698; 941580207; 735919415; 972257645; 100240947; 508565612; 278143450; 705328572; 665316131; 276050948; 588010910; 469642376; 341002875; 484688645; 962061392; 583830187; 309310593; 926272169; 428866272; 354652023; 3942377; 836012099; 842534737; 579243385; 101811970; 675727877; 194676691; 713007107; 633957873; 528418921; 11853540; 74639221; 762966141; 952860996; 948616442; 235546288; 21619697; 417013153; 214490225; 799646544; 574538880; 64608604; 620334747; 313074201; 827563971; 285238441; 967787908; 834579147; 483507992; 548511006; 365595377; 897113666; 681185187; 419441343; 481039056; 701515035; 47359321; 711188860; 771636380; 19611126; 171606143; 964319888; 502443315; 85594931; 666389196; 930019124; 288342833; 280348017; 364967058; 1114430; 975099259; 157220170; 679655924; 242877600; 575757289; 919657510; 744878398; 355892191; 18217738; 903011018; 792775856; 881706992; 423320604; 794069670; 22744826; 317460690; 88979808; 510574340; 283456524; 708836627; 377388551; 823555837; 404458093; 670189368; 217893605; 517860330; 644814471; 193938569; 861430452; 7541238; 352149717; 460773988; 970420740; 126404776; 274799131; 597160490; 469110459; 191452113; 41674181; 665876165; 468257306; 367842477; 77877011; 766812461; 597496308; 227052279; 791398668; 941197176; 166215242; 943538232; 150425716; 794878484; 83852550; 76248764; 820932037; 822283190; 720308108; 963179387; 379901064; 204021943; 955364626; 708629417; 601716868; 945633726; 839883133; 519892166; 86541654; 903686202; 849233582; 671085109; 772010318; 674261714; 832231313; 352999885; 364959731; 467354166; 502094587; 969322994; 25040656; 81269788; 421601736; 536289868; 403165159; 633125706; 66191573; 436375500; 384762019; 8921969; 672114493; 309651440; 264117317; 196012653; 229300836; 419090827; 928629685; 620488182; 154509852; 212913607; 282020715; 816040296; 23919458; 332585290; 39807784; 421912483; 919148346; 114382555; 760429159; 608556106; 272592431; 9053834; 525518991; 810500871; 793745584; 167857753; 57890245; 271774821; 586873049; 348538384; 501250451; 800425893; 673200903; 908156854; 15077525; 577253498; 912815107; 38719967; 689821603; 840208776; 83744557; 12746769; 854356059; 12181646; 858503027; 203999927; 668765690; 878500513; 514946667; 876769137; 462915843; 920628539; 490646110; 617220827; 353842501; 797121190; 616024083; 317078773; 243343900; 433201206; 465311347; 71422699; 621646320; 620977751; 256953687; 768171628; 647404300; 536760161; 590991802; 121997223; 991614184; 923935749; 403638127; 355119757; 252331200; 434433516; 212430714; 322897592; 611649303; 798782990; 701933181; 155253372; 804778446; 486095096; 508308132; 185516057; 82078922; 531829953; 922361573; 561752341; 53546122; 882329757; 229680135; 100915974; 180043077; 734747946; 4649066; 837110082; 151157004; 160569416; 77680700; 191945275; 636200935; 746366588; 984738294; 959655455; 767135935; 128813184; 721623948; 371194415; 917347567; 525631953; 52106338; 765163843; 192607547; 913379742; 962891345; 187127876; 893368590; 735274037; 445718245; 623538902; 824274989; 458367351; 831845406; 239866828; 61216781; 740792994; 552661556; 251975811; 977836669; 198953679; 657600918; 351028560; 725906670; 330646327; 965458296; 246360167; 430574159; 791465144; 56784092; 102906328; 912843226; 733180937; 753327985; 772302032; 95114603; 450698020; 144309864; 614947917; 384920064; 781898902; 468321491; 746076617; 109265572; 773188399; 788684627; 268094882; 200107432; 460856640; 441692513; 891622547; 259011624; 509212290; 197603734; 174132604; 345871572; 981277905; 296265665; 668984997; 369997733; 490771800; 859426004; 954629915; 70508933; 392742724; 669046615; 575801843; 943982442; 351252792; 125208151; 199434927; 649343486; 354794837; 630252174; 213508909; 414154929; 228136371; 747422508; 777271407; 231117820; 138080547; 241423211; 24660981; 382456876; 369990211; 257661449; 125358109; 67859854; 795970385; 550974713; 188650784; 763747994; 120651132; 752872598; 137262124; 347455152; 934836254; 734641298; 723195800; 874312962; 40452319; 750784029; 40417494; 133686508; 255699889; 166405532; 152678625; 303370737; 621360569; 262871481; 954522004; 958894350; 453734831; 858477364; 163704476; 276040863; 708844007; 261808036; 757747159; 865376469; 571839548; 786741102; 138216288; 488206849; 836952556; 331226441; 597548259; 727195858; 224799813; 933379038; 222311115; 198059580; 763091639; 315258616; 762807618; 156958323; 766430167; 390052946; 801085747; 317258593; 817771064; 313221220; 481923357; 216483786; 195244521; 301970597; 878019175; 347649364; 227143920; 485764253; 671382009; 715911573; 176275146; 861348167; 85153845; 182100314; 347827171; 356951269; 417391666; 414547360; 546214212; 403662778; 603668638; 502834124; 853075596; 621937179; 316443278; 244946576; 518623090; 384688490; 840289246; 307052973; 969461252; 433218338; 233614531; 328397228; 356937106; 744713093; 311071671; 265062676; 354362246; 804349512; 621818942; 954035180; 638364979; 900466667; 567918230; 136369507; 725174468; 940771380; 628182590; 525502392; 127828451; 680802163; 107320586; 722847079; 879352904; 67804011; 427032431; 752692420; 702695838; 243993679; 977219270; 89722660; 185364942; 248944230; 830842961; 521142323; 33320390; 84717306; 789923144; 800297145; 927886118; 187890744; 634774578; 189544765; 129015342; 153737705; 628957385; 365099991; 174167704; 828007103; 121378649; 503935726; 384270805; 621804634; 225190181; 468631587; 517802716; 567113793; 826443952; 71195003; 163162644; 484066064; 673227034; 647206986; 854992382; 692629741; 51113320; 362804389; 709591499; 186042154; 599346491; 240168884; 978926693; 682674797; 210488673; 912868543; 115661545; 754348883; 12501460; 706703069; 226475791; 552120482; 845514533; 357882665; 982554282; 411457457; 593984292; 7495405; 227890338; 821503315; 673524178; 423928623; 451996834; 456163685; 548300219; 514954106; 925905043; 212748475; 255699471; 729916721; 112632435; 127778159; 223477947; 466095464; 184224332; 572791053; 270608009; 741375617; 753993159; 664793086; 579474172; 231951067; 658023479; 431332106; 754365140; 388638432; 164011880; 280519771; 501629435; 801615536; 185871542; 455314293; 406509295; 616482973; 961961178; 533425923; 701294183; 515940007; 546133033; 261226834; 50645875; 72226894; 942554354; 618813181; 170313925; 609993303; 865042731; 446998825; 656273234; 965285769; 93372471; 330430010; 235389234; 853140923; 262276171; 576711497; 370941423; 893709138; 295750035; 158846524; 885857280; 770312840; 574914795; 167358944; 377805141; 699519489; 937368857; 756570208; 495067860; 781471765; 18258168; 775618568; 288409504; 138380625; 401571496; 424479609; 632741739; 760874012; 973499911; 412606301; 294615803; 185458985; 534337307; 481048518; 422283636; 489875247; 332874892; 685069586; 863233151; 776952014; 182302781; 511798179; 627927289; 581795093; 857247500; 355819022; 684638353; 599793718; 553254780; 801946269; 231197388; 209437007; 408585612; 124231183; 729927899; 441864381; 485685119; 90268775; 715544370; 247200326; 678901835; 415422119; 853164222; 165836622; 862690615; 229412853; 90676573; 894615566; 566093630; 27103899; 830920047; 891975149; 278489498; 364770977; 548852133; 602105921; 699850000; 794738747; 364949085; 607735083; 508464425; 262147291; 200797204; 781768270; 840329073; 17084157; 452473519; 521346987; 176065291; 356764634; 990214226; 416219162; 136911897; 296393774; 200811956; 317948221; 566102589; 62059832; 667568085; 544619539; 37259088; 761920369; 935370720; 317441846; 772588905; 127039326; 913389303; 650564845; 124756034; 319784165; 920925622; 298540510; 925542641; 610229503; 466803539; 739233061; 879675865; 684556377; 247349489; 666448556; 820967198; 547051237; 878748982; 487998796; 340961324; 938236037; 467390262; 630834080; 599213990; 802071175; 652486501; 86011465; 930311830; 65625327; 929080173; 240323694; 283181862; 27315929; 369839716; 959883729; 466978872; 415118073; 194785891; 443556270; 885326618; 100201939; 311032592; 183147826; 993551520; 402165744; 779956175; 739531034; 931614863; 290056024; 387469522; 386737316; 469126581; 698099004; 647375485; 700321345; 10038863; 406472585; 827217933; 622633663; 505720368; 988041145; 670112062; 500978805; 962738921; 642513765; 4621962; 301835372; 380393792; 155569208; 854365325; 615468577; 449306177; 81064894; 320440343; 975797476; 891832603; 227744831; 592639657; 227362568; 182432457; 344480080; 527249201; 310883716; 498458614; 477381485; 556383432; 996882481; 576267725; 799009273; 919257266; 852216064; 693860348; 275960216; 545670326; 368303977; 787399212; 237314144; 740120178; 544910277; 470769903; 879081535; 435063642; 192268681; 637572398; 164013629; 86077978; 94052914; 640301224; 245846347; 725172430; 770741952; 646324465; 872055719; 356735052; 334377377; 265436215; 809136749; 336446787; 318389058; 747357288; 271695953; 914300429; 216268272; 114685468; 859013212; 721196002; 380128039; 878718673; 311611536; 585506156; 457271396; 758677730; 389262679; 835862255; 48224013; 295105234; 460945779; 436259030; 173327372; 59885531; 306165110; 878444256; 903284231; 115560765; 677599439; 661973445; 746701163; 889803963; 890623234; 302162456; 447920254; 898197764; 574863291; 783583678; 591908792; 910470572; 826406487; 711469212; 40725902; 115483710; 55568779; 59053864; 676038743; 390929481; 18042476; 541362473; 69910719; 411146835; 103686822; 728758379; 510873321; 236263533; 124605221; 12929519; 596542311; 498732104; 35393780; 301902724; 478915245; 703280672; 533420085; 136447718; 45285853; 231770302; 837485122; 607094990; 361189843; 851657971; 404964952; 754432585; 576148363; 618819799; 405174915; 87298255; 772213436; 901863523; 753202946; 255843261; 963562272; 848366989; 786502775; 878178068; 177705958; 322807567; 894557192; 398734605; 346053307; 960916765; 565637429; 315445994; 587177009; 682416824; 746417694; 376278453; 612503217; 726115593; 830106423; 958102776; 953368189; 388951068; 747270736; 453447764; 860586903; 9991163; 121583837; 210906045; 990615624; 46162323; 210510833; 526996144; 980303915; 13817129; 759962434; 687202276; 25931626; 400304508; 58366042; 603759553; 671696775; 956157741; 898319879; 785978393; 756273788; 203468197; 790454803; 148480688; 47330838; 118209117; 100645001; 563092961; 918063661; 446356274; 156823576; 850528315; 520921802; 961200664; 826117357; 167140244; 615734701; 437169593; 443097258; 418614500; 715380517; 866945532; 511793950; 997258022; 531659221; 481453467; 305976533; 368416260; 145302375; 217754477; 424956265; 785141777; 538135517; 133916451; 193914643; 135884502; 538586411; 628619979; 988463000; 357909847; 634809572; 952847346; 631390208; 538408178; 85541566; 302244234; 905687573; 109257416; 111954432; 409346984; 48885269; 486631813; 820601187; 857481590; 252943304; 190513841; 359962455; 555918245; 222738361; 566021234; 660980946; 598103995; 348438305; 330688431; 847094478; 728324818; 299028611; 690265077; 999757978; 278999317; 586646403; 671335545; 992907265; 773375886; 789203887; 187321288; 950513819; 254082918; 85873463; 443881849; 568576368; 423455640; 313600472; 640232875; 744618830; 526949673; 684715101; 627722425; 956786619; 886408251; 390848192; 351828560; 125117381; 736593769; 327244043; 157746985; 877370998; 674587392; 386601990; 465175192; 468879152; 197494104; 999540253; 507855139; 811892856; 183717337; 756130956; 746121641; 549781844; 619118225; 650915194; 588089709; 348947314; 798202983; 394895921; 40420098; 164561410; 182035336; 435959536; 654791410; 917615623; 217038833; 28448867; 527223582; 730885934; 714436004; 968330152; 815433291; 961152238; 162978789; 717332277; 514342618; 754816274; 112802993; 840477176; 353423833; 696223149; 880989637; 508379926; 311958768; 148617510; 953316785; 939671874; 635573014; 698041793; 2090401; 148543071; 435933186; 627107629; 176803857; 637473307; 802738224; 291544471; 730239969; 31550680; 554833965; 437939187; 150697339; 156942867; 544033797; 864347471; 645061705; 519656175; 65126648; 810361137; 939596723; 742977122; 624391739; 702678995; 273056605; 607371221; 585731355; 880776136; 25593310; 560506959; 514394014; 642672857; 457301282; 726080388; 199707958; 677244936; 150285771; 129983140; 396153090; 141327050; 913923963; 435648851; 365001380; 493110758; 70166917; 465374480; 318394835; 631669322; 659695493; 242529544; 440066723; 285904618; 366893681; 209236263; 148092110; 387467015; 921266147; 467694369; 896311577; 571938345; 647807418; 812010802; 327058955; 996536064; 480866620; 38495645; 460752683; 389765416; 58411395; 940751096; 585024614; 113674812; 691736925; 572345219; 809757567; 169404638; 906886551; 159738863; 779482409; 247722451; 460342514; 114319116; 50689064; 532647549; 177707461; 757817807; 505813667; 207373386; 796632240; 802522240; 907123957; 51881847; 279956140; 921535939; 573841236; 766315280; 920234919; 757005215; 872763637; 704196636; 494744117; 396277975; 296307374; 591765299; 346181866; 192089689; 851202199; 758848708; 689864125; 940790344; 383715371; 985040208; 309171320; 59707461; 957620305; 107645189; 117397342; 586312611; 129044029; 8219979; 372638351; 191712898; 994420557; 24283022; 945733553; 413305392; 989254409; 333325158; 607557234; 767197509; 802631897; 463425641; 582605455; 567497737; 515603005; 682016960; 59729496; 893627408; 314284828; 797076221; 670506861; 877439626; 752369868; 198730176; 810932189; 928770848; 254457092; 122836855; 308740091; 891617304; 191520147; 241924709; 387211005; 547900444; 937669953; 246395318; 503560761; 168693547; 228653723; 711913442; 540912809; 94545408; 557984583; 1245078; 881748022; 625176489; 761990619; 114587498; 647809734; 41564549; 227051085; 157593465; 374937241; 105319437; 909149954; 666234928; 359496295; 665351675; 133544979; 975813521; 50670530; 280697427; 276268456; 109654344; 483471480; 298461461; 30643742; 535216927; 157460244; 268673226; 461080498; 272884373; 519031517; 609705266; 347445915; 451031591; 684196823; 537168525; 636681222; 528079541; 696493420; 448119539; 420583408; 642707458; 579304222; 907912475; 984834876; 267924670; 305665158; 869013869; 493496057; 707287934; 367297916; 242878119; 787763095; 692888343; 848194649; 522947435; 510252688; 691614457; 5653558; 725038474; 267917982; 970927080; 714560775; 777596539; 780114500; 128418688; 409984131; 966177155; 161811944; 218581729; 605950122; 696048715; 902192611; 48333221; 300108585; 849556709; 750081974; 531519311; 921586454; 169151282; 780706253; 54591706; 297551124; 513178521; 538794615; 549290163; 624433306; 585924518; 831558064; 276977174; 195390212; 243881931; 694618000; 460886935; 224867618; 19826687; 624714273; 208481210; 388312684; 334899037; 438323225; 981308760; 634520730; 263165737; 53200597; 1999394; 398618132; 401117491; 848815533; 484083432; 133022798; 126527304; 604519033; 354197048; 160113250; 535921839; 572438013; 853904729; 666394680; 4314266; 770035920; 60962035; 646284342; 148076328; 9481806; 431096385; 957009534; 261744060; 258044038; 215682837; 184819378; 568475105; 695673757; 81071933; 87992935; 400223151; 601186170; 717231724; 759361786; 24563984; 965552671; 287563439; 509356160; 735036164; 989412056; 817451223; 159743982; 800142601; 766503143; 81138167; 263344346; 27174536; 675339570; 248550925; 673136964; 746818768; 616594570; 306895125; 136576321; 782373803; 705150146; 583620182; 567862320; 423745907; 458207929; 267297415; 523519994; 20883895; 173086686; 823159483; 732596739; 273341881; 464529049; 240337120; 657974679; 671685743; 864128357; 444296668; 295842489; 133278625; 164737244; 221793998; 267795811; 369622611; 731203091; 482744217; 951847242; 977045648; 715219632; 874427308; 621853896; 526657220; 355094824; 917958978; 622075444; 569638030; 422447367; 690482898; 496339618; 402822395; 726689102; 417078909; 477323880; 151876663; 967053765; 147585035; 274446150; 174440582; 949203388; 493627212; 441544324; 697511244; 488194040; 90684532; 491471055; 707225173; 49033074; 662840348; 62026736; 665474651; 234210580; 985181622; 371061990; 55316251; 897767753; 524518235; 902804690; 329753286; 796531734; 483671824; 642764181; 587038958; 800256519; 386519747; 473850033; 969562456; 56843830; 829295437; 183344344; 624343905; 200122309; 997594741; 701610342; 778061639; 935484432; 635825790; 29787310; 185721997; 616876062; 808267554; 244897277; 697516215; 991922124; 488158531; 842977923; 171956098; 872659942; 874419473; 949136209; 908983934; 747494633; 389936595; 574246956; 911927175; 550388511; 658667973; 529139130; 400774404; 157530372; 64840786; 18995673; 879854357; 144819528; 901819707; 296111201; 710884687; 500237251; 364789162; 692670691; 781499559; 647742203; 136057253; 40877760; 432984110; 605546624; 401812327; 704075525; 943682816; 760415810; 488372329; 204276621; 780909155; 549570579; 324639664; 749962609; 362747852; 630788010; 561312407; 88553019; 935148001; 990230602; 33878177; 429790504; 783518949; 917362831; 269126631; 581220219; 549660531; 286570756; 927915484; 551822462; 539855385; 314750297; 297349519; 884721085; 223396889; 915065779; 176719517; 378124805; 791093421; 161382912; 841208577; 566933216; 454194914; 400917539; 134359473; 370969526; 739567083; 188876560; 317570351; 38065736; 379774550; 627353681; 387315004; 843069633; 208493545; 975294447; 996583705; 680324362; 151573017; 814310345; 974838269; 716270322; 570704860; 284109969; 784698763; 451045254; 895944912; 578827172; 393198947; 256579217; 9486253; 49790293; 381073131; 368145613; 650762095; 441007810; 873838384; 516696725; 326284337; 376396166; 527600180; 328813165; 101098978; 27193588; 239113048; 585344710; 354519745; 771897029; 920810308; 357894431; 468701469; 323919924; 82381194; 270464915; 431102890; 474901893; 436831797; 717243102; 727272610; 499276539; 657652769; 984908923; 47820084; 595719203; 482593787; 165856697; 967152153; 258371043; 565456680; 934093210; 653863281; 625176882; 272983646; 828986218; 734260347; 587053686; 120861324; 647043694; 596054062; 817413149; 465503714; 794080482; 310764316; 356874543; 118988530; 927568839; 403592799; 683321372; 706546719; 472737378; 86278876; 570060712; 307381633; 922471570; 254892079; 825775244; 970579456; 97702277; 708321031; 450421085; 453908375; 568497951; 747547610; 186236313; 648418646; 263353769; 247624271; 649564737; 905787261; 602709702; 620532995; 876488484; 187268405; 335680693; 830748297; 120991470; 90766553; 87948162; 111164151; 661328858; 312584865; 205898626; 822234884; 258531061; 357321364; 15164890; 928068383; 527654226; 414124011; 469832469; 815568; 848217544; 501545418; 67828443; 478410850; 13804170; 419383259; 237761910; 852420614; 422570665; 52350656; 293458628; 726019374; 29800534; 486958817; 14611692; 293978275; 214327063; 604667431; 143696079; 312889213; 325050671; 441677031; 284641740; 217726013; 144709716; 661620621; 949974702; 616654709; 299253040; 255499578; 284238890; 356537911; 86666320; 18958339; 275766219; 326616788; 243838931; 419136753; 952840052; 753741988; 985432100; 438530732; 245318829; 683782613; 628400481; 97889651; 340929468; 598224890; 745027202; 887595874; 300041789; 89590584; 746881228; 31677482; 1671260; 350723593; 11478658; 755803856; 346982972; 536993738; 731222607; 3045300; 561531385; 243423534; 19694828; 371561834; 359292423; 6137966; 352565297; 750484461; 778286239; 174830098; 881976152; 817305520; 598730326; 882119068; 104434305; 264522105; 915911725; 651516330; 51882194; 258305683; 343318582; 867581203; 971367235; 554004515; 304882651; 581331579; 311171959; 956371301; 942065047; 883986420; 321343475; 166843811; 467443638; 446409956; 459454543; 821233981; 753348787; 716214481; 74814624; 521713797; 564221662; 548688728; 733523165; 772429959; 303027483; 751146472; 350507755; 900042491; 934164836; 649105397; 596894103; 604472121; 44997183; 552196020; 83341176; 189832205; 918969369; 658979630; 27463498; 712985190; 752041475; 759393617; 504075022; 31835944; 295867108; 102066641; 43739782; 6950290; 316864104; 454874777; 757219644; 431459876; 394988537; 438443278; 199908797; 418897106; 302260162; 405822694; 987452674; 882352364; 134529577; 104081811; 176742229; 46630185; 611113397; 635298988; 479541344; 521782234; 299698442; 104545091; 99472373; 228319205; 285593215; 219999405; 85790495; 114622808; 85754571; 20761188; 165738126; 99063222; 802223371; 911164144; 978227523; 420603159; 740212910; 73420065; 880554502; 615546232; 627412622; 639541300; 647905951; 326794209; 235885234; 296250347; 786875846; 657286213; 320377820; 580938474; 432808441; 19986775; 358112824; 610893222; 818524154; 254985542; 453417629; 964618298; 106928950; 600374427; 630381545; 579857459; 38545926; 78919135; 237655387; 386990325; 324700885; 996694966; 248078569; 411790864; 692828411; 85340667; 710443923; 592476510; 380934321; 471225513; 324749250; 12484976; 60242425; 924517476; 725195365; 280177397; 794475745; 353518343; 989614164; 197169163; 872111081; 464834761; 776683306; 532554150; 768895915; 62869182; 452437598; 219001840; 302541444; 752835269; 952071863; 445535387; 289310155; 820429782; 237361532; 989877333; 460144375; 448923055; 885265985; 633254895; 530438231; 831244218; 733687778; 27712070; 848740918; 993504663; 326699861; 836103268; 669664479; 310513539; 901522397; 33051821; 632303991; 893736302; 923543055; 834316875; 321325196; 476539145; 685930796; 814224836; 510580591; 459580425; 309047467; 577895036; 597971480; 779788374; 243019163; 923014934; 984597985; 67056924; 439367612; 652797075; 358248243; 444896865; 986724080; 180089626; 397066861; 745639543; 589898422; 365061422; 819781638; 305903225; 757187552; 110266511; 102322451; 812443420; 37885197; 58543760; 91403883; 885580294; 358392917; 987515816; 743332916; 690056805; 360650568; 599156247; 944232572; 141153279; 656226566; 272734265; 334372738; 698043819; 339198059; 237481318; 370691039; 960721406; 523963782; 85646309; 647916149; 861437208; 551171026; 801897193; 597759693; 986657850; 491561650; 430819533; 771437201; 278117993; 853266521; 72943770; 415698551; 660575225; 956009553; 47209912; 634774852; 99368383; 356706988; 95262621; 405257738; 661414312; 713407022; 224992567; 236352605; 876469325; 74205017; 760722341; 489660432; 736971762; 301957772; 918015742; 386751640; 118676310; 331613324; 806378526; 991119333; 593728443; 530840802; 555648938; 845670521; 83163100; 797346650; 132946833; 655597678; 344513189; 148440544; 138896691; 232922268; 758213332; 408550671; 461099053; 299025174; 238560055; 232191711; 1817987; 191828530; 591381649; 291595061; 997659071; 974940747; 414518428; 607302492; 831543466; 286269185; 673441444; 64915778; 832420948; 558000905; 808296411; 296622409; 735203197; 255503385; 616408978; 704780680; 204650250; 492329154; 823257201; 501111114; 335221540; 161848841; 348499147; 540446496; 934363143; 560759148; 448972119; 91870200; 439129205; 667378390; 358492301; 931836913; 614808805; 498068309; 40702231; 817865615; 121361620; 805916696; 302956795; 409829210; 631374752; 432600906; 16225006; 219746147; 580116788; 576951983; 502908113; 675032410; 794783231; 489115197; 270454797; 341424710; 82427102; 12855211; 356104287; 745167169; 103714166; 303830227; 628476707; 599909630; 909435511; 978357249; 804868352; 551400054; 773403665; 571123889; 79267629; 875155648; 624458785; 368702020; 268319424; 670361846; 915551526; 708150669; 183895296; 788572939; 316523138; 526885426; 609015012; 131181436; 344558250; 249463386; 742971139; 710367342; 97922659; 118216772; 112696560; 102920246; 990022819; 412639922; 846961571; 752910939; 819055905; 762407826; 342471250; 100494311; 396911798; 733284191; 338053677; 822649216; 126067517; 492540699; 428338411; 536334948; 742189389; 782967532; 212382670; 933395521; 901020231; 325758943; 74039394; 557012040; 885526621; 222480012; 567430830; 516582770; 587380566; 804584563; 439101688; 247174651; 440394160; 491387855; 536762402; 142136988; 497189014; 316247101; 473509937; 916064608; 723190068; 58576229; 759957252; 943010084; 772799896; 112940466; 739103203; 578289787; 996387609; 735219686; 509621400; 136028973; 897877063; 775495150; 480810759; 21456674; 298360068; 132260492; 205639385; 735230457; 370313102; 431106531; 414902697; 405312500; 633716945; 706694374; 61062593; 293440740; 413103381; 723431885; 78557431; 193508899; 142796466; 897931095; 977088725; 727424382; 284129366; 213429680; 669577682; 158738761; 896511902; 654983007; 755551218; 365390358; 423199925; 351521066; 664859635; 978183364; 839570727; 13018644; 764468793; 629741049; 979086714; 58299830; 117247277; 53050370; 601946943; 178398783; 619087532; 579981564; 482287625; 405347032; 847249780; 99950865; 635527867; 208752096; 139516702; 845189799; 837760564; 894197990; 576706128; 1544651; 325454808; 558457532; 866949605; 790867268; 680683165; 240412774; 414506321; 885108236; 177497100; 555598409; 612299243; 286345659; 108997001; 7773857; 615929085; 910150531; 139658696; 917447865; 352813357; 652501142; 354992648; 900788601; 10386914; 267864767; 479555947; 535870439; 324964127; 93857234; 699776844; 877086745; 642988654; 901591058; 412690853; 4016849; 312797257; 556808620; 804635533; 572467759; 388629834; 182375879; 946286683; 445234670; 79206191; 602483018; 114170466; 134084540; 60512861; 660698410; 378196515; 344604287; 229186154; 333514303; 709149537; 900493439; 510253153; 41697119; 320604531; 693025086; 213796286; 696232428; 235262964; 220208411; 55090363; 800596863; 24931813; 789831587; 952456683; 178613560; 252971255; 330469562; 563181734; 88397059; 173455298; 152663144; 16123814; 61627819; 485448465; 17291296; 443794865; 674778668; 775234828; 235410832; 135808733; 647723151; 134904600; 855135072; 568273508; 762926453; 709695281; 585287750; 484390411; 323261426; 822870619; 182892591; 897287353; 504661456; 444530447; 924016961; 728081437; 243664984; 924572486; 251025638; 338724191; 686212498; 877215406; 111185204; 826421747; 641039418; 74624956; 576053786; 558520109; 732727343; 179533292; 284458619; 257867879; 308118898; 320969317; 914787604; 802078583; 538662584; 680261530; 233964208; 206444647; 581670513; 570088082; 210478276; 62324988; 639060238; 273029911; 775335885; 272463913; 417524545; 786242319; 710805201; 833965016; 72351902; 108426601; 892239017; 905517815; 344827966; 296253042; 620177899; 23355657; 459263251; 606255083; 146112029; 787966483; 783653345; 160214216; 159348261; 968087548; 983867297; 233784630; 184477489; 323759084; 393730436; 151426679; 305904842; 717855455; 211870954; 389512887; 939967340; 827464686; 292841171; 711858746; 823849237; 280035419; 733310668; 173480353; 780896755; 50072720; 301099132; 422404581; 112283209; 573892974; 626579788; 269545204; 765693483; 24323349; 420955892; 65021042; 495388143; 574461368; 271208700; 394805507; 662498604; 221243389; 540635752; 11552555; 437757035; 468935726; 796395116; 487656707; 676163936; 957464568; 36341008; 600765927; 22269158; 457774320; 288374091; 684238912; 849092960; 920036957; 819668243; 800336675; 499168444; 198746084; 817569420; 928329969; 970952489; 371589027; 338448022; 322666312; 519717851; 836959947; 9907794; 164097761; 568042632; 214802858; 678004381; 286430637; 992570100; 19181444; 328729739; 106912533; 606890795; 514694449; 727331789; 895839911; 133310644; 282861013; 623071057; 321350826; 69212367; 211333458; 580717296; 812997605; 81749728; 892522850; 768767813; 425503954; 409886412; 822138490; 433746007; 869070715; 56420080; 592697351; 107561631; 514005366; 38650225; 84139808; 768754096; 566777322; 177010647; 137383859; 385913398; 898303587; 121173656; 701421407; 909058585; 789727755; 977834284; 897310004; 728118369; 335470792; 943511050; 187218921; 22237963; 199497241; 248501038; 659575342; 104235320; 707879807; 720256815; 245061071; 785113114; 537970925; 715267859; 379679188; 685593418; 327450899; 392708680; 920630492; 733288766; 300327675; 476548537; 998639217; 923660646; 436439263; 324205976; 363175755; 403534005; 306883173; 824310396; 869879941; 667146023; 280031840; 796016291; 635041725; 658742833; 491657165; 355680472; 951726916; 989540942; 836326717; 939833070; 776847186; 193289702; 294461967; 82619850; 60860300; 928043127; 477977493; 165710566; 914365462; 995980341; 343136032; 90233426; 13611272; 689526356; 35978899; 463981796; 140801006; 248003145; 835321405; 185337412; 108398161; 548024918; 989149461; 645307252; 5380836; 807797564; 579106795; 568569866; 380465425; 459356618; 73767856; 677892960; 80498669; 195360366; 426103484; 175682630; 437987181; 935069036; 538799809; 633909954; 572302817; 915471643; 388207255; 521275395; 337693106; 457889018; 563778715; 652140907; 179411958; 698562073; 240774992; 248786612; 127023438; 545360499; 746832250; 18170699; 884502093; 37303660; 908883082; 571785310; 411771820; 872055033; 844081775; 704275894; 824096395; 219399712; 378445714; 251395519; 477617293; 671973887; 241518783; 131090990; 840446445; 301177165; 156210240; 333022958; 3192731; 774861298; 155986388; 453267852; 711617; 585630619; 92659602; 864316340; 848628522; 666863156; 830574466; 618944857; 425474008; 505299663; 815220718; 740041383; 816214145; 316019340; 804849617; 420827506; 519546947; 876049795; 654902817; 876630641; 700978326; 61530120; 330465435; 333651301; 566284668; 592549604; 959626515; 583213159; 66395963; 568617965; 686315155; 453132358; 857906068; 687295088; 294060863; 799289154; 162757154; 790002739; 454480043; 12666978; 679801166; 599229628; 468751706; 762738123; 283672244; 977248598; 356951064; 571646189; 264068791; 821903212; 410640238; 256179732; 63594737; 600067230; 207051349; 182029658; 607358483; 177033201; 997899168; 500069399; 168505395; 629110123; 420424144; 949551131; 824165771; 962777584; 373208997; 104090816; 478923170; 221077798; 128570961; 145912960; 981899230; 60583643; 613766096; 1704574; 604542383; 337869993; 174111551; 410613409; 155887035; 686942662; 419154768; 737721345; 44890188; 916593602; 880865502; 799817608; 558378465; 588022829; 569707550; 272090928; 175588406; 299456067; 180850149; 736410209; 671269631; 242134254; 906977065; 841192968; 199781523; 967150392; 865105712; 131942856; 666160659; 537660061; 701040502; 858137778; 88251599; 59142484; 497908243; 420562638; 249311640; 332130815; 807185532; 863987388; 947179332; 127268110; 518677718; 161060094; 359466166; 718661099; 727113483; 511171308; 903610218; 462561052; 600765720; 635185715; 276648126; 590569311; 681268148; 438630396; 350231744; 445486599; 443257589; 788480222; 762991224; 810693551; 896158308; 855827168; 525317748; 392913018; 882761310; 374639594; 232477023; 715726557; 436772744; 358878379; 17279390; 718235166; 551026601; 16838031; 683542014; 67677216; 456065639; 59106736; 66888627; 643899384; 388907818; 965992430; 26921542; 666826256; 105915905; 888572779; 840736794; 863811043; 832441302; 720893853; 79070635; 342743427; 94954376; 642699742; 554968969; 205747997; 871813874; 810011651; 506289750; 83954973; 580467563; 920314194; 527676354; 731374748; 844149064; 276493967; 834314076; 153922382; 807715001; 863117700; 765815888; 961303326; 43293397; 497534953; 693587206; 576753720; 827608656; 167038898; 983166250; 940898066; 580051199; 295106261; 936367460; 983087843; 390323296; 774586152; 959280941; 50388562; 17108282; 218667944; 37119529; 860389534; 504823166; 334476837; 581242659; 918610637; 915545032; 576129172; 800041069; 888808157; 506169091; 514238320; 192770097; 742851950; 653218561; 862601942; 937673048; 673646485; 528496788; 276167648; 318434198; 404859828; 347834846; 841740970; 261598341; 709685785; 158665761; 210610216; 974277618; 879362040; 223843324; 257566788; 536845835; 889246647; 871100347; 946409423; 538941836; 726499714; 660724271; 541179202; 555749001; 328444583; 718498314; 297905562; 841721146; 514883199; 654448574; 448772690; 463082476; 707397089; 437957552; 582806768; 424830342; 56561623; 915601750; 845299336; 768261243; 635349170; 531202771; 842805375; 912631756; 729413261; 566015887; 203395006; 152084576; 90083875; 374147403; 720187669; 688348814; 916734377; 629750449; 95008013; 605543380; 120281466; 494826355; 466611294; 49826449; 747315403; 327553847; 305504744; 139454721; 888716440; 43628456; 185168169; 836217622; 934062024; 31766705; 798153732; 101884301; 348885886; 514183471; 455548953; 107462261; 808531539; 280852421; 628700475; 84435132; 611261531; 989400793; 884409089; 692742388; 204609641; 882063510; 881441942; 753210155; 940651702; 24763471; 195303566; 576116323; 93592586; 832954372; 339386750; 237905318; 117990678; 934190248; 166452142; 818701956; 119401173; 232848221; 920740642; 857001042; 34081986; 524146605; 857196076; 827946374; 906377721; 698001261; 552206023; 97130879; 462926775; 264444091; 546330635; 800180925; 198396135; 918926477; 701060133; 752320110; 734785984; 411488958; 971484854; 383551877; 752918602; 941569865; 883207445; 548485186; 449031696; 462537437; 333062187; 954513523; 483093646; 374966365; 480652023; 225744180; 374507797; 202142202; 448806093; 907710935; 334208402; 919195597; 968577397; 544733620; 56788784; 816525405; 931349200; 659904337; 629075944; 425844170; 806175794; 788368617; 235999955; 309925724; 740664421; 201650903; 495807744; 501844093; 628316455; 989669215; 175739953; 31203847; 719606206; 455665501; 428689109; 851849941; 852443290; 873361332; 181885293; 955514550; 988539784; 655876606; 852593033; 293481642; 847715147; 276057490; 608727799; 460475235; 313040815; 705197766; 210492388; 750709646; 759695660; 430703017; 989648185; 868221080; 808064785; 899239079; 704999950; 660618662; 761253510; 509031607; 847917617; 70558722; 335503018; 477792329; 866245981; 401683292; 212256839; 844122200; 714694192; 345986851; 96248716; 127350197; 144603685; 79181316; 858694947; 753769716; 26220105; 204871252; 672392670; 82522465; 164520551; 957209211; 553679097; 580854539; 277878716; 547693500; 514218627; 818265363; 600319116; 747760708; 472725428; 391037914; 412128248; 593680918; 891532586; 294329528; 427822056; 501022770; 295664308; 943725404; 755817620; 535354008; 11017185; 336883678; 280146552; 54079751; 588111275; 15992588; 213874832; 808488789; 406348796; 97034570; 108947817; 378397859; 690286005; 954829816; 99157173; 166689078; 854331783; 838084576; 435662454; 612085307; 673654662; 75147846; 161548628; 326791458; 477813933; 647331091; 577296391; 295952584; 66197318; 393128935; 696336717; 399292929; 763429637; 310052515; 215206090; 625221014; 684133843; 331354319; 603623268; 994760022; 62016666; 458400282; 219704557; 369903352; 800805722; 233454352; 175605277; 711727316; 179686051; 761614073; 479787393; 261380186; 960837742; 816343412; 634394062; 157288630; 352983269; 349275055; 26795648; 954228347; 629550368; 598617059; 181374741; 230060676; 424802287; 268551523; 807032535; 379967023; 590771285; 935025334; 993285194; 882732089; 861216268; 304980336; 986459522; 365875090; 86237315; 770330515; 522400230; 113213622; 533150057; 290428017; 779254994; 749132961; 203101591; 699463446; 639376477; 369639288; 201884237; 976639004; 256689264; 851438110; 174283323; 759321804; 308508794; 2641050; 356309950; 62656215; 591763680; 463510183; 980362619; 799784418; 597425837; 37984058; 313691434; 32715280; 741132545; 260536552; 17692658; 893581230; 911043662; 471682327; 150964071; 707296484; 98052501; 741516705; 823661758; 298305573; 123465009; 136833896; 954182432; 874997070; 899589771; 993801240; 57841530; 774123521; 844648525; 745311138; 596437631; 375887082; 351162903; 398863250; 429145734; 171314145; 206421469; 553903650; 64749430; 642456760; 929592674; 690225230; 912568402; 677796653; 473081415; 712345919; 539176745; 877420683; 753714876; 155390656; 634734065; 841966671; 663571948; 259134339; 656289662; 959329587; 444615906; 803538188; 376463781; 973787486; 168961667; 129840203; 195854600; 550443823; 255236370; 869376438; 258788427; 624853363; 939937060; 362521401; 153930121; 990859704; 791213959; 747086955; 252210545; 157643522; 449629804; 248982371; 787803669; 847305837; 460872674; 314998004; 233270851; 69826095; 647597278; 862799271; 679105054; 614067195; 591477176; 917113307; 904348797; 139575754; 750499393; 371469229; 66394491; 370339657; 538376813; 327033342; 285305454; 674643841; 593921326; 978741197; 948105338; 229476931; 278774346; 250151123; 910213313; 53520620; 665378284; 63779821; 214883571; 906262472; 356464534; 673925836; 196690955; 687592524; 863874764; 652928405; 398135640; 834915701; 625643045; 652912977; 814090269; 766564535; 224234676; 971335307; 123171080; 307217403; 557644892; 53264559; 971389133; 876581401; 934745648; 555155525; 963435006; 195775102; 682907985; 981717791; 94216379; 310740026; 404780160; 160283648; 95444782; 169591799; 281603326; 275953513; 921296683; 970219128; 553537263; 298820940; 457694561; 951979696; 541214003; 510519365; 413700148; 931129961; 243335180; 736328971; 233261882; 439446039; 882547797; 540764542; 514526339; 134850776; 200391646; 651868592; 382279479; 935875724; 877617759; 572595896; 995052720; 973295517; 964110182; 913612007; 102135949; 656121827; 422993932; 835829017; 166092249; 288776127; 276690713; 110058051; 603842075; 113472297; 68366535; 938477478; 829350257; 290639243; 619537103; 558708497; 768801187; 283772683; 987982459; 408636947; 745899067; 101782812; 431655731; 437527820; 589871400; 214773545; 460094607; 171243912; 980061389; 803633262; 237370246; 483819720; 196500613; 521653090; 724829968; 205342455; 656874369; 354589005; 277684221; 928931955; 465169941; 910125235; 701348885; 110193431; 672533254; 334598773; 877982886; 577317872; 791911850; 864131569; 710977516; 581038246; 99642295; 53434854; 368818996; 919064064; 999272409; 539745108; 919349483; 774944560; 394732037; 588775784; 619090295; 148962539; 284064762; 75930070; 189345958; 453694351; 338475981; 794522173; 30917910; 409265335; 36401356; 375160600; 112189260; 837124875; 619673644; 543635791; 128664481; 616156163; 780678526; 345225407; 734551172; 642137234; 960791972; 507574085; 906359548; 703741823; 251593303; 791465404; 682577470; 116071495; 193186232; 144100028; 387970188; 637741797; 391194007; 264099691; 763042454; 885469609; 138966615; 47472170; 205178599; 934606528; 436997396; 408573265; 234388636; 388670164; 886064864; 444064101; 593700672; 155433530; 860604663; 697938220; 361408630; 421064305; 460528208; 847190525; 465306373; 289005051; 553608264; 508705405; 349737155; 286720847; 955998673; 512047225; 117862021; 695433571; 394540682; 594578731; 547698104; 78411406; 11493245; 665670925; 608491756; 714312296; 845651833; 555416905; 640037140; 821199064; 807146291; 864420857; 831675931; 18975897; 460196759; 729804047; 503233402; 136500313; 365918038; 178142829; 731644862; 143216052; 256243121; 424978755; 620407129; 348125360; 755308440; 994655435; 122086927; 732262735; 160658739; 307139475; 215712208; 387534532; 973153455; 218662538; 477037678; 448459119; 240755316; 141469232; 817266399; 88893301; 827487831; 203218335; 524202113; 147686094; 279580288; 450705682; 999701291; 252787032; 359752382; 551463117; 348869899; 536654088; 762021601; 682483285; 531960615; 325348244; 698974225; 707341267; 780686446; 378759295; 892857197; 499865853; 74128423; 650841757; 11907721; 929160190; 680647513; 792946797; 500886976; 373001739; 616475234; 430181532; 674267633; 256704073; 795616101; 980153184; 28357814; 385254319; 38800672; 333785017; 315744598; 191529905; 86877308; 419636228; 390248046; 936795001; 825720352; 423938340; 819543810; 279253135; 469582583; 38516615; 197309555; 381697150; 488987534; 393770102; 233908674; 778804400; 103432168; 403538429; 121930884; 847646392; 774249070; 980666671; 922083956; 892228514; 102457242; 300730026; 266614747; 682893084; 691866236; 580610436; 814269609; 512681673; 677014933; 550276223; 637680963; 684434163; 619834096; 245857594; 714265123; 856733739; 246256222; 248592283; 979515763; 303611908; 988574077; 887467141; 19373924; 977772746; 678706289; 66846674; 534594219; 743737393; 717946681; 380924214; 681173479; 713076473; 438389436; 421190702; 818266030; 667186569; 511428236; 637970608; 499092406; 882281418; 767926321; 988423697; 694833045; 197643368; 202505976; 61947449; 336469873; 785431239; 390533053; 423575093; 830222155; 883806455; 590968376; 256537761; 655003821; 486095004; 575759617; 760315056; 960952087; 923708018; 452704159; 825949596; 359810359; 49493162; 420856954; 266520268; 740202125; 559410631; 650852982; 24726626; 316216951; 24244661; 240596452; 378454289; 881536202; 567873759; 734940375; 934396077; 605892189; 613151050; 568926924; 105894907; 263593499; 231652026; 251039401; 671649415; 125004997; 95815095; 996413544; 687288362; 2399173; 823134991; 513047985; 379720803; 410861277; 802922596; 106074314; 174011761; 930638222; 677301431; 405367220; 115095629; 423101505; 376896422; 617607859; 69144422; 702808142; 776313913; 153175789; 654898839; 655286068; 733291151; 36206238; 737928218; 159276284; 690424534; 893896569; 613207822; 878724738; 484139067; 221190027; 288314688; 416084474; 606936568; 526090221; 303598561; 767242888; 743342646; 724223412; 871641745; 1359147; 144477282; 941808716; 537031096; 27317344; 720412871; 349578755; 637987232; 27701068; 184347079; 4786174; 846021676; 630418072; 80726181; 773739771; 276705764; 363519261; 11512557; 820838869; 547395246; 13444223; 144909261; 637822178; 639890846; 281278494; 584124689; 410382350; 469194336; 995146579; 281539541; 86175915; 39161265; 369630055; 200525863; 893767504; 556201119; 445225443; 311572532; 973592667; 324496299; 744744951; 660424814; 876678148; 431769353; 909736814; 493832122; 387633548; 58660654; 788948124; 82107135; 328907354; 79146663; 835693550; 720261614; 142307710; 944140810; 913452187; 884212592; 929337701; 894418998; 757154956; 131082993; 688083262; 687376628; 790080686; 494345503; 897813780; 797428220; 924602452; 47814769; 948076101; 485364400; 619155838; 294327034; 338201043; 291419511; 368283810; 70206647; 637553876; 35365943; 526242086; 981154520; 713814138; 594943956; 27327393; 487465426; 892648942; 376915531; 157583370; 639277155; 619652717; 216921520; 811392725; 47111942; 583162248; 602902227; 409084591; 86603101; 794997606; 169388884; 861716407; 979949901; 778877503; 956745577; 573844662; 330943889; 126631974; 616273247; 196812767; 856687346; 732757928; 519791431; 164296175; 770960496; 192578975; 144300610; 885950222; 739681293; 167644227; 184526169; 159088228; 653750573; 572134596; 698276287; 127457217; 559150521; 741590131; 33941000; 273629097; 228065917; 878810163; 520024570; 587907099; 846466038; 485151134; 947548574; 648666688; 886042641; 203128122; 699181585; 898831122; 385185567; 388284692; 562487968; 186433825; 51217373; 722018921; 50310262; 73762295; 37942011; 297786429; 196729063; 886638967; 238658656; 181219359; 371951954; 466281427; 684360955; 476516807; 267869140; 43592724; 318663536; 447577144; 940021573; 426513430; 627014655; 801248963; 976887832; 859104733; 715180943; 672502860; 145372525; 7587744; 808082184; 878689134; 486669326; 346028367; 83158926; 261715493; 642791974; 666754414; 712889664; 582420031; 862331931; 255664453; 734193000; 812613141; 93631877; 951058179; 395614599; 631192176; 820988680; 760497259; 407274243; 740216507; 691389562; 407577658; 304974010; 699405243; 14979927; 974503185; 923084548; 815387539; 920182721; 65929804; 202016378; 585405688; 899511295; 277254326; 758456488; 356541325; 661452959; 729807051; 540698731; 301357818; 808206170; 787714140; 823222657; 758326; 489501282; 992665762; 548692956; 313877546; 453418512; 838587084; 530027872; 269832277; 654506177; 114283323; 265286235; 377194629; 562367442; 918629767; 845974478; 126932906; 751041799; 662812209; 886987394; 70915417; 426904323; 40182667; 76393896; 315507838; 626794494; 867229843; 697541710; 212781647; 494560644; 586082943; 869444833; 64529997; 903233421; 265272640; 50641756; 98144061; 516309639; 561354276; 1241060; 815840353; 285669350; 222757985; 737037860; 690493989; 678305246; 189567894; 523068873; 555585169; 276541045; 403824355; 329346905; 265401828; 993860252; 31730864; 530914274; 999463212; 929372114; 336226354; 547197870; 976121914; 377710750; 676899270; 456367935; 965748398; 565689751; 246932079; 213280792; 778280483; 466551591; 687657822; 866343691; 758805867; 700999127; 949583872; 810656148; 909103020; 493586026; 124518593; 652633017; 571090595; 488751804; 259726970; 44334406; 445736121; 964206945; 357597806; 55348884; 889926562; 513527036; 529719084; 113590076; 550093319; 651523523; 551968830; 215140960; 61621264; 484701539; 263782843; 141735988; 836449807; 586756709; 481318146; 415294332; 655546062; 429270980; 563960029; 544430013; 474670294; 775805750; 712207997; 854762086; 241102115; 280159460; 119563747; 633998234; 310632073; 409370322; 670403338; 996972397; 578190057; 905592068; 627600500; 682666375; 756095951; 899016185; 161607268; 570512200; 442615821; 337613038; 799628100; 532445407; 256432506; 353305096; 287124812; 746365215; 814014246; 245247540; 543071564; 207049014; 798409292; 489597702; 648298216; 54320822; 426258908; 837313228; 135091074; 723387175; 143528304; 321308667; 702518826; 336658910; 234579543; 582784995; 846504844; 824014809; 999321984; 756845481; 842017001; 548883982; 171782161; 531679989; 379890992; 600141213; 977138498; 581120468; 402231604; 833787406; 434343310; 491502611; 93770247; 37631531; 43263409; 281776637; 935502493; 198269401; 702353909; 673771829; 413687828; 658862922; 533222996; 210185529; 50632319; 991493715; 7004163; 829949828; 934300249; 230711221; 200794950; 835193552; 568835271; 636927687; 859713539; 719663912; 122565904; 561737258; 979270477; 504060841; 435651578; 795750278; 365286032; 404861357; 29374393; 375782098; 154680545; 699710683; 944541068; 349368795; 555927942; 145463214; 371532782; 131871177; 242958410; 198517255; 485133651; 527707346; 41042364; 730569357; 349388230; 843206665; 367635941; 746358043; 139788526; 223772271; 123877330; 294425124; 854254920; 523848778; 360481945; 211217421; 549351937; 802355802; 242469909; 711416224; 825197371; 905371525; 591566851; 759871153; 857783078; 735303743; 269562034; 228372153; 18364031; 375681226; 562280279; 124985374; 961273928; 106751295; 34710970; 487938415; 802949307; 826592008; 657032380; 425482637; 243985626; 953205725; 523006441; 464963779; 775542741; 658529683; 777323353; 434972761; 560217221; 71832268; 691211741; 558005844; 282638332; 844142504; 652415037; 717303812; 217240466; 288818332; 846088553; 57580257; 765574394; 53885671; 599604101; 420474104; 524659312; 30553438; 884351708; 109328534; 910647625; 358185870; 73987102; 229496598; 534177476; 757888590; 731649855; 429648858; 787601976; 719435874; 526184065; 511776042; 259622198; 748465473; 811524339; 783158461; 628188955; 211249512; 460759309; 314649882; 394187580; 357163156; 111020311; 301203040; 551455298; 358476241; 136398143; 159077166; 209772568; 734266334; 933910745; 134348501; 267015447; 191834955; 302160647; 877641974; 457885199; 315488877; 784373067; 457952867; 953928713; 14227146; 672402766; 822389883; 906764259; 705414997; 27013677; 792408410; 979764593; 190214166; 684633560; 684601098; 697069139; 422981239; 476775166; 993910660; 543528162; 386953677; 267846200; 108898458; 123580342; 820218190; 147768419; 91801463; 708357973; 482817139; 736551990; 289925336; 116971302; 182927790; 63407470; 209471088; 669049020; 941128386; 30735245; 408490791; 3907014; 150406015; 719620746; 31831897; 186415387; 15010954; 851726842; 545401636; 1061595; 260266439; 226863414; 748056551; 368062603; 545826171; 830410778; 783681331; 340584944; 835329710; 941446401; 283184656; 241722169; 308833460; 960005550; 272646794; 374612865; 148167146; 312454619; 487784796; 891176216; 106505593; 315427404; 731972321; 243778675; 985640602; 90309819; 433529001; 582098231; 949727249; 356783478; 719452198; 665264143; 244422805; 149246914; 996666078; 95224846; 809873695; 254255447; 843504264; 121878560; 526104920; 670705096; 190589707; 648386439; 125353749; 63236637; 867200670; 241432791; 252974335; 583940404; 524607408; 762382843; 203959361; 507650136; 191215246; 395532935; 661318259; 310271342; 997187035; 184757833; 817785248; 680017810; 788476255; 132230152; 327865162; 396471444; 260061700; 591118063; 324818262; 130051462; 598576959; 888312510; 919013911; 498673820; 171388611; 729397402; 500823731; 317594831; 905056636; 762233536; 270193105; 718828879; 735623051; 253345552; 502411444; 83972171; 269752228; 68994413; 966763679; 692149605; 137492797; 244069944; 961435949; 446558148; 617574735; 245262491; 526298357; 98802338; 360104749; 683632015; 246158883; 758500140; 112307794; 893531231; 400226798; 525487316; 765188822; 803969167; 978987436; 234338605; 477255301; 780499236; 748416215; 549887236; 426344070; 250649381; 491602365; 645959900; 522507577; 107317277; 946273306; 272095517; 521975296; 308446610; 692043909; 23748453; 312184959; 310148759; 776413426; 768560778; 532265386; 482244843; 291029624; 779855267; 268736036; 146393241; 181997807; 912570425; 752656334; 867357611; 825091054; 740835837; 125985114; 244449188; 721722408; 871975219; 298634433; 177580640; 32925673; 687462229; 684060438; 475402774; 303047455; 521132371; 765511786; 196370431; 382269368; 152708521; 611058046; 572527464; 829689370; 441033762; 379227731; 946707049; 222291890; 682016904; 935416592; 25671644; 528056136; 73368238; 995687522; 533759792; 539434133; 428585946; 783533652; 444814075; 831217225; 287898744; 99431486; 262912120; 198849987; 869884693; 563445718; 737420484; 818140263; 989100375; 710973559; 9252216; 5130747; 398282759; 366063040; 332291531; 45768850; 959943933; 31335120; 598701297; 389189947; 385757933; 187387056; 332310; 160748489; 959682373; 338386105; 137287338; 883389119; 689876352; 314729437; 657021334; 979261960; 107449043; 930904206; 807590296; 922453176; 734153532; 971276235; 765817794; 797090236; 340405868; 530972905; 183253970; 114585716; 222115108; 431012093; 647369474; 669344679; 569085196; 375567660; 775970510; 721916531; 729344373; 906072491; 88603136; 491297163; 682371120; 214612920; 123673103; 825541371; 842079180; 107784489; 246027068; 469416843; 192399675; 241544226; 580744227; 27177043; 496959334; 490487155; 945831092; 138071151; 102960491; 699087652; 286314031; 103417266; 410087329; 417201823; 182316670; 670290103; 622755892; 525694442; 486026872; 556383025; 322312625; 34743112; 14320643; 157587079; 686078404; 486821809; 297519644; 237913609; 758638609; 803381736; 6080624; 560993758; 989518697; 120793681; 289992266; 171079899; 475755469; 390112420; 949771270; 125859907; 845514253; 48484200; 145488666; 368398426; 307209228; 92885278; 542449224; 436064108; 485594860; 284240332; 33699602; 75246796; 231958211; 356672655; 455582018; 374034293; 200461198; 340624063; 997155511; 648087626; 666858793; 450077716; 40746079; 63796507; 143921665; 182438762; 733218927; 583514074; 838299714; 39166921; 323719461; 942450321; 91070488; 284196760; 865172073; 432852250; 279993823; 791538985; 532034256; 700415783; 287994390; 73492940; 348717436; 529017756; 870896681; 917214773; 413916241; 41856566; 646143104; 62299416; 451718045; 185485503; 953447917; 708741762; 369761225; 341417818; 430621847; 154774977; 896609762; 822205581; 545675251; 796514621; 665819708; 889677251; 708851578; 80147835; 588546166; 415870577; 893155126; 879011177; 386757210; 848874017; 934123973; 147197377; 424273533; 589499875; 578440681; 6964109; 793625609; 337967185; 809814615; 188726984; 558071747; 639178521; 561972153; 726730842; 983135540; 2081235; 879284471; 655033708; 767757225; 249231267; 79265248; 749978881; 259533640; 179433036; 140538681; 515794177; 200457670; 680764716; 143609110; 641866525; 476932301; 236755911; 539515176; 116264418; 634053582; 57144860; 997881970; 437243723; 12714765; 791692154; 688127069; 535806545; 107638375; 935151876; 732803384; 907840686; 393087822; 847402969; 346267216; 254734569; 876849878; 841113036; 608367597; 345094706; 781897674; 956234853; 887605863; 250009302; 400585554; 85949680; 579245272; 622863366; 112067211; 62209796; 30014330; 348441414; 899454508; 786308330; 256787752; 549606925; 526350735; 796728684; 523894677; 592034884; 35143740; 561224653; 395765641; 23966086; 821570352; 944838230; 150944462; 690227106; 170911052; 690070288; 753374713; 338005657; 861597927; 595595196; 488362955; 43976271; 89517478; 601893084; 144622608; 94229513; 689266509; 691666613; 794870550; 722878901; 744170154; 500608235; 874269136; 189032448; 388230176; 670274735; 960101893; 653734062; 436269266; 320534201; 175400475; 503643675; 214029342; 155717636; 910080848; 565475509; 77912777; 68135389; 254624705; 326451334; 741136630; 263110111; 806045676; 494212789; 227212256; 587000885; 880924939; 328699997; 48505712; 73942177; 894452173; 932775493; 689822875; 29714712; 619289015; 74799073; 709419045; 837376264; 151113971; 450229339; 417470505; 680272047; 295353685; 164843334; 799340863; 715779216; 479778783; 19904260; 437709233; 531419012; 638266498; 234817123; 387528303; 874016316; 624452229; 336784171; 207090673; 461678711; 540897196; 352168086; 99904403; 450815152; 234159037; 775482149; 589577422; 974673284; 917538713; 533343512; 633369107; 404138498; 879132426; 862242479; 897989840; 154760470; 103299465; 332371258; 99732054; 18281397; 160300561; 838747316; 194107377; 427177743; 126615857; 700019034; 993276356; 972115407; 838484213; 956018065; 55476684; 347330609; 503111515; 986984970; 138162465; 926072760; 505061305; 52666810; 979756838; 925326109; 214731139; 842694911; 338155808; 837670785; 474724318; 835846570; 547003355; 647322791; 831906599; 201659348; 174527889; 846962649; 852282039; 18974496; 395477248; 601682022; 671303428; 626467046; 310084851; 784616394; 212654772; 384217618; 14361168; 109264045; 570916841; 412275987; 688475336; 360353914; 87488137; 118016963; 878957106; 812465175; 599600261; 415174659; 531428694; 154790002; 286614759; 28608188; 214529482; 936390648; 165554782; 339484286; 773334527; 557239519; 739255933; 234856274; 675835949; 768575760; 939726303; 369730888; 413386830; 6981849; 944504715; 296302349; 357976490; 570588673; 280872680; 406421258; 964055629; 103211165; 957763774; 554260424; 471451211; 511550985; 657495785; 21239963; 737955568; 125350060; 536128852; 684890347; 832296231; 534235617; 73336188; 144466064; 976738662; 361311321; 53261981; 203912186; 59993215; 37822164; 598695243; 447458634; 75822046; 696465340; 151167326; 484837784; 700700248; 635715082; 937199336; 116093508; 408718130; 141865086; 30242427; 882343778; 107509795; 549084528; 113031379; 827957260; 207447611; 79160556; 157206423; 325604057; 431118524; 332570024; 132828109; 194153390; 16285683; 597337757; 141537578; 597164954; 644819414; 548487574; 676439973; 887155066; 408766075; 374064251; 627280172; 881583908; 686476007; 260488690; 459543401; 234501636; 767151121; 767286150; 304516992; 899451753; 413666127; 81381068; 760811276; 11682851; 229369427; 443928257; 348920485; 114412414; 824639638; 320417292; 719604033; 208099192; 661792873; 355604755; 489208379; 720177760; 767727266; 801967834; 697934799; 373979260; 625449082; 900819067; 524569770; 968677400; 959519638; 568653859; 889318694; 392277899; 572394329; 563721391; 78280642; 277687371; 634812929; 383653244; 1616646; 341182599; 767499673; 977704935; 455950979; 797182583; 692821049; 903203194; 740271495; 894536712; 85290179; 42844791; 644749591; 757718515; 612949254; 458091034; 831395515; 944748208; 536173620; 812307699; 869672483; 715601222; 22982600; 957516465; 130948594; 608865699; 431473383; 633367288; 151337003; 715567693; 831616464; 250093093; 343893741; 147873990; 367153030; 315137205; 851098290; 443492342; 41075170; 721717104; 461908009; 987971305; 968100371; 71306484; 658917665; 447461343; 198329190; 742103031; 403801750; 547559475; 270692480; 244243852; 958002533; 605012317; 249605865; 627489474; 558646379; 436918545; 758600232; 863514135; 680991348; 102358884; 100736632; 944869588; 864842023; 239080140; 88617790; 580786333; 398371367; 919695901; 569156348; 125404541; 60334877; 512654382; 361118584; 332195569; 899827025; 315075125; 32303356; 159523070; 447797144; 412457883; 59537268; 468789987; 400367419; 382445870; 847229782; 219896709; 35280270; 519209758; 524822066; 3233310; 547716377; 953918557; 620592083; 744937048; 666580151; 884822616; 847930429; 633681921; 358278295; 315886561; 952205226; 19912593; 415016144; 980881829; 189853511; 917642325; 631479521; 576068353; 844964085; 675816850; 435696466; 663350028; 121972998; 346292047; 482300635; 89532418; 406226974; 186090623; 462572278; 669375369; 5408488; 752244415; 850143099; 592811818; 877360436; 816585041; 267807363; 928359340; 490279915; 879454965; 140047357; 162866020; 521186048; 686310037; 896098661; 145718718; 910491459; 239452718; 864690449; 283246290; 256832224; 712164024; 292750308; 33461981; 936339733; 443340585; 621803616; 215827426; 404292443; 578464817; 864099455; 673847716; 698485360; 120501175; 254883510; 23893532; 972265483; 166773984; 688026346; 903074196; 139340168; 903871254; 915962556; 376194413; 239215062; 747637726; 691450567; 614536958; 632279476; 313162116; 946973310; 914098190; 354101917; 333146126; 894716540; 499692257; 695303328; 671758223; 269663143; 553832402; 109829107; 547498364; 959396616; 936494093; 267398087; 803502298; 444148085; 186432654; 568443478; 128036394; 869405998; 676956845; 323497183; 368841210; 331874643; 468833548; 238938311; 727440452; 352338021; 196183083; 923794085; 647620836; 423128551; 566274816; 942898140; 595533634; 373591247; 503450648; 301916466; 8708120; 642390020; 960366268; 417079708; 19505217; 718437283; 994272337; 576266953; 267978380; 620876115; 560503150; 104881744; 588577337; 853021532; 92773150; 331318249; 40110799; 537465878; 99091266; 715165496; 143295717; 559433274; 232148910; 646022496; 753034835; 511186097; 666038148; 21304319; 640529253; 189355797; 348960957; 861505285; 772465162; 106856831; 276835068; 553306661; 594996372; 301654227; 572507808; 78309419; 924568234; 98232032; 793021913; 711613980; 178313275; 248950636; 175842426; 635103927; 648551638; 149175721; 106929333; 681295125; 195268085; 777020239; 545394095; 952433086; 431032492; 33199450; 639097493; 674713037; 373250856; 965884177; 808755756; 799244766; 874813906; 288041242; 972752016; 56146326; 570362108; 935808679; 262328559; 215709345; 919935644; 833924640; 221800020; 449290613; 324667430; 878602819; 535946140; 808444930; 230631535; 674122035; 266791111; 60396163; 921155403; 821742062; 476924890; 361644767; 72403480; 49853218; 747630009; 328061877; 417439488; 441033656; 632159512; 507820721; 522538070; 402865791; 855645408; 573952911; 283054350; 765745744; 537792458; 839929118; 554073294; 59924421; 136721373; 808381582; 364457444; 453435390; 402637446; 753919866; 960999911; 119331766; 251289717; 436669280; 182959411; 756668304; 200061312; 639127990; 595742744; 442025654; 763865471; 45364622; 984634075; 24386047; 285076211; 553281647; 36658000; 403978309; 146293223; 293518758; 39242324; 602427218; 955698155; 291735536; 425142178; 75573636; 460266447; 659879658; 544628691; 943659730; 491755148; 584904449; 414747421; 65881365; 976418335; 361809044; 328089179; 964390969; 950865970; 17441554; 991030273; 339159023; 590015895; 277362288; 697562806; 106295843; 390948291; 632721428; 185630689; 897951902; 142045815; 558379476; 444337643; 44745411; 161987194; 226963391; 911420654; 976080276; 893233652; 868123763; 333580982; 456166449; 553226012; 429155676; 92484550; 307074065; 410004017; 889360299; 565314544; 241794172; 436631745; 174423984; 852262193; 710263851; 260431951; 546490030; 785215293; 503322380; 109051541; 311081459; 531805277; 831672011; 457192453; 741254711; 618690461; 58033924; 458754281; 361402738; 428617505; 171527688; 86775423; 517784449; 258114637; 258639601; 747565466; 130007837; 3824845; 93132914; 233111935; 259801548; 149413240; 983993691; 797668615; 918119212; 64008440; 727563489; 312748211; 806530225; 866354155; 445614416; 903652120; 203652303; 886830107; 140246481; 263444821; 487926631; 642834126; 430543872; 797090506; 318096696; 507881666; 913908099; 11604038; 127172645; 357073165; 927274288; 707900290; 399462925; 207720041; 369532459; 713115912; 435903218; 890799763; 359602672; 936757949; 53399469; 863989773; 753734723; 212994396; 614085; 891786927; 370823381; 566691107; 718646251; 442898749; 452139134; 320961586; 354088058; 468086759; 706349926; 53032139; 599933231; 446990631; 444222755; 372571834; 698225119; 695399666; 773574399; 357184755; 776504072; 732137473; 709119495; 636698340; 844173280; 82185779; 539007567; 9446286; 83539706; 442043065; 112979215; 770200179; 968899491; 858582385; 360788009; 591691548; 389559186; 336045146; 534624429; 59063331; 715080752; 113577201; 987124861; 641187180; 724691310; 213828395; 360706711; 719910163; 856165805; 996203522; 952128882; 703174068; 232818133; 634861302; 251314743; 576130620; 891228599; 486125878; 347373354; 52345979; 128590367; 623188252; 624162653; 962840768; 191294364; 913331870; 154984041; 100738988; 965337639; 66372124; 819650510; 474557643; 236107285; 789901808; 228091145; 557034352; 973535882; 299116824; 586760351; 919651985; 961388014; 543399430; 766958569; 894780133; 82087971; 590419346; 925531041; 579062029; 720235956; 296886807; 807992629; 614995145; 598264088; 243167457; 397911710; 61253677; 91652372; 379127543; 273371304; 873818489; 180069344; 582614778; 450787111; 439930485; 301994391; 172207571; 268398348; 890519151; 324178453; 49325071; 167737300; 469953303; 494682128; 863564786; 379510961; 689764652; 920206372; 84701663; 536313610; 238050325; 839640831; 596351160; 167564077; 982270299; 970680906; 516740209; 680315547; 485981814; 345284543; 46138708; 260154757; 951418001; 87190965; 684993063; 407087809; 182928954; 86958420; 785384537; 598499837; 497547438; 733147693; 996554609; 483929121; 298046403; 280071453; 182201137; 258234946; 519357495; 775316726; 481500777; 378576679; 213015413; 925743368; 27325096; 807576244; 479734205; 258359972; 967227; 911207975; 265318437; 476009591; 667104769; 186032845; 659780186; 875108674; 354291436; 126810023; 820601994; 295726725; 724979290; 567579013; 122925213; 332448980; 890660336; 194800023; 796117546; 305476044; 132448718; 297922480; 982015526; 926552629; 329339295; 880758407; 955707493; 404114257; 479776440; 416277834; 665259754; 967297698; 895668877; 765533058; 644604533; 19766440; 937495159; 374871503; 759097578; 898219041; 453288928; 940326167; 596071104; 213452496; 251154939; 120981557; 143450911; 729162194; 916388434; 915918014; 636253694; 673753950; 737828766; 253480748; 611332843; 473403153; 83130062; 186440894; 862301875; 709879494; 155794511; 309553452; 583303847; 373194393; 997182042; 534294410; 598556869; 663967431; 53656262; 780834477; 953191418; 713183738; 35773636; 206857349; 960533711; 530527494; 737030882; 697351356; 40991260; 489215176; 792718472; 606782076; 542403926; 724173148; 238621950; 435022195; 488311403; 436226960; 314979943; 193558304; 374905406; 870519144; 981998494; 693000922; 988395328; 797987201; 564663247; 883618478; 122371689; 275580554; 796079454; 598785764; 434225902; 795750553; 393578899; 750770899; 686313468; 822126843; 782545868; 832183920; 671106083; 144341797; 700451317; 682448248; 286482938; 857962572; 580347433; 654803229; 20331307; 192428094; 241231025; 666908657; 640002483; 488858255; 307392177; 36891839; 759451533; 278546701; 413682854; 538439375; 791577454; 659576628; 468769084; 24871781; 42851931; 277370287; 942962095; 940436075; 674662222; 223154700; 389087925; 288949462; 956671979; 784701640; 605593367; 992701530; 486496081; 305008458; 758641137; 465275842; 956463323; 939876469; 610897834; 599358067; 415940385; 504626416; 328576710; 17217047; 419754822; 671319092; 932054257; 984890464; 806855482; 417809640; 177148459; 440058847; 539278363; 653060463; 955068168; 593253126; 887756207; 787136554; 361893918; 354498579; 150772784; 31699000; 84003374; 169566356; 429598682; 87540963; 71516326; 447912785; 792729602; 848795911; 944124125; 251091054; 590379615; 237696705; 287462036; 417933260; 848542971; 487557133; 74428201; 485713542; 513593751; 336148722; 448567158; 290922947; 939599864; 299746508; 76523942; 75042446; 736253934; 994781062; 171272606; 699574402; 435585880; 851279441; 652000345; 474764919; 397625217; 163742404; 693953240; 861222428; 88102557; 986263237; 508710000; 991568119; 578697098; 193714424; 387517530; 992330945; 63610347; 912565908; 990635183; 290701184; 454301595; 403512639; 70307908; 857107123; 762394623; 841902486; 666159582; 366230066; 221898371; 542082790; 854669158; 965136461; 202492638; 793340909; 690142410; 231776610; 926449425; 910977129; 230300040; 750549056; 419675764; 110247652; 945269000; 970911039; 63396117; 424771911; 741862566; 231717581; 266119486; 326694898; 745798081; 810752844; 230616021; 254245882; 186054504; 807808752; 453254538; 328163355; 713796846; 711538019; 551722277; 923601592; 396731197; 197256270; 231184816; 915983645; 484609966; 276340230; 664565909; 555698194; 741410215; 94295545; 245588591; 933569526; 108396010; 72166270; 957300702; 673149963; 688732366; 601669809; 495959351; 701770904; 263323826; 275253286; 124367722; 2734600; 420488510; 80913777; 326269489; 106918400; 613319399; 934400777; 439737807; 680376019; 799638715; 707167213; 955356673; 157012925; 551588408; 419059661; 873550859; 491599467; 941527032; 727612131; 139892498; 949157918; 757483275; 624436025; 529363734; 143406928; 909198936; 748072490; 634327877; 18104425; 379430137; 118084030; 827048088; 710799903; 623524562; 991691175; 358492755; 67591133; 241090140; 503549537; 457175122; 350921434; 750497064; 64988700; 859336356; 237058357; 137144775; 343793704; 326505408; 497189043; 892983307; 237131281; 935311269; 359309429; 80239012; 24801479; 501307990; 624878903; 265940849; 306422625; 52500088; 482848509; 132717108; 921646677; 513754830; 439585270; 529799753; 245920117; 657433183; 387778822; 935556434; 377164569; 773224679; 391455270; 917325682; 805970655; 22766151; 531614558; 325602180; 428727683; 343339065; 326973139; 75700361; 914606244; 952587246; 515312109; 145961359; 997273968; 144564614; 908274600; 726530551; 655006923; 788305502; 473829797; 678169028; 813486710; 742409090; 248239602; 239286729; 343829113; 73181693; 596205035; 399138277; 449901593; 653701684; 851323690; 812905215; 536834390; 251498622; 191559987; 429210439; 333664263; 272405973; 243333569; 816625282; 394969278; 526271870; 157390056; 823739262; 174032266; 53097163; 546286788; 934054524; 606528329; 604306554; 123031184; 66519386; 935274240; 322720622; 461829036; 971124327; 283023026; 313003892; 600600973; 619035885; 973374058; 39825; 200206299; 42347269; 73732344; 273228295; 532791109; 847358537; 361338355; 371344527; 376952847; 306044107; 857936433; 257853609; 4139262; 880192936; 946227645; 277191246; 984270515; 384483395; 554834928; 579025521; 279133744; 44418629; 177523319; 933508740; 239194651; 224648962; 956979983; 555467453; 221553626; 332609125; 914506387; 115189144; 119353705; 301683539; 925350999; 985227683; 828707860; 293511065; 721566560; 841822295; 889991993; 404259123; 787204592; 512681495; 459844120; 114282188; 254653429; 211636413; 555080057; 469882947; 87028688; 221499898; 17167209; 516576539; 547609455; 581198527; 857996296; 653031600; 679175475; 747692458; 755721184; 725398568; 747772763; 345131604; 617778793; 984802228; 658791631; 533883228; 989469540; 362321013; 612477206; 563470021; 417577705; 936512024; 246856648; 167541860; 186272290; 734169420; 941479057; 523255211; 862427987; 489019477; 549742769; 629794235; 1145583; 564674985; 459175465; 341343488; 748692303; 391698902; 759073987; 214827023; 225939692; 672683471; 260578935; 602733683; 946632319; 3911113; 534103402; 449077264; 132129961; 389758864; 671513637; 439904258; 190170600; 685417699; 139894268; 258040904; 200334579; 693054931; 895493180; 114454729; 8972787; 341758372; 26343267; 555367778; 690765421; 580958384; 337409685; 149366458; 276875064; 695048460; 36518971; 734884482; 831110138; 764364067; 86060433; 299543698; 636158625; 720725846; 160792987; 88725375; 923786212; 657934936; 338469792; 834367976; 156012032; 388862765; 493568946; 373442644; 748626922; 992931962; 79694534; 132985725; 431510537; 60233134; 948127898; 457540049; 345597233; 985695178; 780191773; 605334852; 632780312; 48939293; 273148917; 120368028; 516598947; 785875825; 551225051; 287247270; 218549497; 732195266; 970082344; 327083142; 329278064; 701551283; 161785731; 587128510; 821944980; 30556133; 273212081; 827874491; 577829261; 253863588; 716825404; 149417073; 212947487; 393458078; 570170768; 158868666; 21531319; 416836166; 94155425; 375415448; 848378056; 64156827; 291416978; 666546806; 909675659; 495715432; 586548240; 881674190; 345839218; 143007099; 327952575; 856311612; 976111976; 625108241; 76989415; 651451962; 273090621; 744577107; 405200504; 176434506; 956103016; 248645083; 390437760; 867778426; 19834824; 181686803; 372485690; 189284301; 526122275; 572375486; 503178770; 963761103; 971635904; 276050488; 393037525; 754309357; 680312567; 596724844; 719467883; 614914612; 905901249; 377493859; 990639316; 154190033; 670432958; 274367469; 313081679; 102418800; 26694346; 185660012; 218877287; 213852814; 441499435; 72566398; 899972694; 641963663; 580545800; 990874750; 199883995; 351599201; 487131143; 457229429; 404670433; 4933619; 898026554; 703484347; 535581311; 9286018; 144353800; 260261518; 566325691; 970513587; 768310366; 889023785; 173601812; 535956854; 455093153; 87811404; 843076176; 473985374; 420067528; 990636626; 740993649; 157246543; 188195900; 712200246; 374142337; 901937928; 26928655; 653291552; 579185920; 277247977; 785834624; 549113930; 517204936; 498616755; 59710653; 286059960; 964334576; 565856428; 6669806; 352360630; 965718402; 805245336; 243698995; 523587938; 577110944; 689588996; 331265609; 451742345; 788536690; 947479573; 871534312; 719926444; 233402639; 238195113; 246449268; 265230572; 953230183; 491446333; 671197979; 7047587; 16671666; 240888335; 140062060; 706895620; 748977270; 492530109; 434987277; 337162560; 470316883; 933383345; 252244776; 618959246; 827493296; 875942867; 970282902; 626057245; 96970027; 849099662; 772759510; 197098674; 306681007; 709803829; 836488570; 273442000; 115598660; 488702261; 870194750; 57652682; 997416473; 529183324; 75867853; 972531095; 625177687; 184421291; 330967023; 664200861; 358399965; 604445608; 882599504; 752623657; 496937357; 59750851; 621788307; 635789161; 275679622; 827635235; 289610650; 494972688; 258562653; 737295809; 226287271; 645231611; 75192320; 572911455; 60717784; 978696221; 682879037; 677786264; 948675474; 339238334; 589041248; 549125039; 485298582; 883874604; 864965847; 765296099; 948768527; 30104772; 454492007; 914855627; 861330003; 842381341; 226726667; 929845260; 980551468; 762214052; 489320256; 798487203; 662900436; 469331233; 161680823; 417168944; 669871431; 127392157; 250111371; 35246008; 126868351; 93711287; 305079419; 479688972; 304702453; 811415452; 658185243; 845080895; 85843304; 155536938; 118173224; 315968584; 766146962; 638927549; 813042777; 855183675; 271804840; 40717076; 885105410; 899857241; 434664830; 568735871; 657738442; 737943427; 328894351; 301572190; 696956033; 921457996; 561507911; 179689599; 985087370; 113010601; 341805605; 388225361; 829519317; 417724430; 699915482; 647193869; 987594114; 453600658; 266979551; 447159341; 877716100; 925427966; 300958648; 518439270; 727859569; 103708812; 28678347; 180676360; 171236096; 894703194; 92730318; 330297317; 91761973; 299039419; 148694167; 183039391; 748013797; 384273839; 845895751; 248195479; 18678431; 910423700; 413743872; 640810030; 33029132; 759135589; 949820960; 707188691; 127782889; 38798486; 470943920; 479633874; 702175842; 455659636; 126615266; 914983365; 132614214; 110470652; 761578387; 406060959; 11665895; 945773959; 90172252; 231781073; 493975115; 431388485; 905854703; 887223348; 496936186; 907649222; 584330727; 947129128; 203553671; 131425463; 873114819; 55013211; 407245658; 214762788; 365795404; 306691043; 568516961; 883138457; 417862974; 103583370; 596659562; 230376807; 676145482; 124273327; 33394490; 592164444; 602580791; 38801531; 556212389; 458194518; 622410982; 69369731; 653380598; 136528398; 618185117; 653364674; 513255390; 623933430; 442731736; 30561095; 981128012; 366784173; 159083276; 497651837; 175107924; 580012839; 547417685; 253066693; 288801627; 534234275; 880706689; 300143322; 564726276; 275553459; 406040272; 254495329; 987048813; 64676769; 441978557; 18678310; 525394761; 704736501; 432613354; 138851392; 122731129; 268766057; 569006584; 92775041; 948529335; 457619443; 230544756; 368515958; 342035753; 544229607; 238065117; 778089423; 806268241; 804874619; 263830987; 796610254; 117971509; 409630931; 829234682; 170183232; 63611100; 290135020; 525840971; 841288283; 95450998; 331723279; 652540450; 145016640; 78754803; 499886419; 374588182; 763217486; 72985237; 631031776; 213628056; 537188227; 306985253; 270297719; 497551303; 130823181; 757229236; 434626408; 719231760; 2107453; 970337367; 561391641; 19862835; 926180724; 407224549; 599014735; 804131798; 187969252; 731515992; 576234532; 175091503; 847989924; 39441746; 144149740; 399059542; 347267207; 576982081; 773749599; 905394895; 762226404; 56316634; 694295387; 746469779; 588676842; 290428562; 881086864; 474519769; 395301284; 994260220; 219811629; 855669593; 423365268; 74956469; 41087431; 676564891; 774949322; 596125750; 361071408; 293807262; 59431982; 662741489; 238317414; 45635406; 78701409; 848233728; 389037534; 131990294; 385753469; 894296061; 127964148; 6961099; 926257214; 13606838; 288864832; 580484331; 328777804; 151793963; 46476220; 717619171; 476688550; 290763997; 133169100; 709318920; 817205736; 371308225; 216511838; 654058190; 766273647; 784750066; 82277349; 659157946; 671372437; 579478278; 661691965; 665452412; 940904569; 378404277; 124143660; 285540609; 445198491; 715025402; 850832303; 805372353; 906635976; 247592222; 422041744; 339962339; 685210079; 294849456; 969554398; 707248416; 415851669; 657166265; 551379698; 519306776; 942357103; 479494570; 330541528; 707175884; 889531663; 765718562; 410643499; 411120600; 341595009; 857973460; 426088457; 312090874; 233046156; 102203318; 483072844; 70452268; 855440285; 636070837; 289213814; 864401731; 614773833; 309532466; 136241264; 909955027; 768283164; 398899747; 143498127; 10298813; 638856350; 859305241; 988444009; 553679392; 475625993; 296683191; 899546659; 862473069; 965182355; 336080293; 406807507; 206989007; 111164919; 942654374; 790947806; 29288221; 308781338; 386575578; 345191776; 441499348; 656157602; 45399575; 12743002; 896705128; 427461829; 506017903; 413800572; 367078252; 755163095; 370222472; 32861513; 217123679; 665714528; 778019878; 435751675; 5396732; 538597818; 309296166; 427362408; 723109521; 205558549; 10610330; 157850236; 422076531; 356313780; 344014077; 834857092; 531728948; 586868394; 777699105; 650567871; 142441761; 40357451; 865195956; 25812897; 543373533; 272215813; 894545126; 506504452; 941189035; 270508314; 691194995; 107465562; 444367467; 292883603; 26355706; 631607108; 695896801; 823593707; 902125059; 723540215; 165724695; 820874619; 1119028; 220427679; 944854213; 596428505; 297812539; 487328974; 768779587; 42776395; 140933790; 806931407; 199274019; 410057843; 346808765; 11902656; 343786525; 235822876; 68536062; 813750181; 739344538; 276362132; 290445247; 973832303; 161741708; 945622133; 729389152; 647446385; 62055997; 951971572; 269529971; 861423586; 701857641; 646959077; 849836966; 221631558; 387410648; 737522450; 928832683; 441161933; 623747643; 161135186; 679325491; 35263619; 34331665; 296900038; 315174268; 709532697; 857444952; 72512175; 615048453; 392760515; 251000549; 851653551; 812811299; 916002590; 807064686; 352749903; 769492970; 403130321; 186472067; 358201062; 622150681; 102217839; 634077878; 112464426; 678527775; 424136870; 612871883; 624841866; 176953403; 32662543; 242967993; 413587288; 407687239; 701741126; 170231212; 90688079; 787374492; 170743596; 99814796; 522138546; 197913327; 634617715; 409077045; 23232132; 710881604; 979691352; 335427626; 130980036; 376549076; 363894247; 863224224; 39887408; 947612893; 591537483; 579071448; 547420641; 176961251; 593533372; 100710319; 197905558; 549243433; 487560458; 856012353; 92858828; 268031614; 106561053; 292479019; 137705667; 38404934; 263993986; 270623413; 252996443; 261198080; 81505637; 483192496; 822114071; 417973381; 12363819; 983149243; 262883037; 731770525; 748984846; 214008342; 997477368; 21451837; 82987402; 246417397; 539365511; 303200603; 571516278; 213313155; 844034031; 27068144; 47654270; 704165313; 5384975; 885909595; 685370629; 843713832; 138090601; 642299875; 369579267; 203249845; 897606310; 406097082; 461930214; 193067956; 158444122; 369010689; 102676234; 719861112; 454469117; 242335545; 367778122; 124727016; 408437834; 717868072; 811828370; 449685984; 106915902; 675324413; 67966548; 958085392; 983324420; 846982732; 799102816; 632107202; 812521382; 6998837; 220467774; 523992766; 552145359; 992499811; 243564559; 176672883; 286572572; 727676748; 171912138; 1645269; 975209769; 784444730; 238364676; 161502667; 643555889; 603667075; 161313498; 561586229; 784095248; 961994337; 199183995; 112401305; 733356380; 164698451; 943972660; 465760920; 937304417; 482886930; 787641689; 487364624; 492325445; 560881066; 626720879; 478409260; 442604523; 510307711; 142144579; 517667013; 225046983; 372928109; 109478568; 5788372; 133723643; 331658583; 630888125; 949172858; 691176458; 244567106; 440356186; 454866234; 723047150; 589394822; 568253074; 379032528; 557491456; 337743229; 399478544; 824716973; 543623412; 929415675; 878487134; 717395207; 766758713; 463256069; 416147906; 692932119; 743175440; 640141727; 195213756; 283555840; 503475194; 31297715; 105694466; 561557824; 603800342; 264398298; 118003881; 229860239; 242685699; 280313003; 261067443; 975932615; 612370496; 893616279; 114660049; 189880611; 836947636; 223925977; 694134179; 61714093; 103070592; 256755548; 690693090; 744634665; 669541531; 364361776; 781067906; 359337672; 524759852; 681700560; 911258055; 258043379; 266175187; 985376969; 973589039; 810404231; 686681047; 344323092; 469777972; 781698442; 883768045; 511900378; 403479762; 612375921; 458905518; 84941273; 332013534; 232007092; 467249726; 954843340; 578832620; 817841058; 444936974; 238492450; 531495949; 287668354; 675127408; 646579508; 80899172; 47710479; 118710441; 529475683; 697062486; 499716447; 140216163; 579368545; 207863190; 454328013; 631060148; 333526232; 454390932; 578440410; 886593987; 407485147; 82803372; 872483961; 172429053; 937714213; 169899755; 912122690; 666097923; 300399522; 145558576; 322040263; 661984132; 869977213; 77359005; 204741640; 625345479; 897462625; 429576551; 818925970; 641675195; 509518216; 486297409; 935212456; 255407310; 46810908; 124824973; 701999199; 77237166; 743433009; 825580231; 737510583; 869565914; 207196350; 239076253; 160854101; 703726033; 596463714; 482311055; 319622580; 251834275; 438756723; 798803795; 930329819; 653482262; 583085529; 429994051; 164509089; 524286169; 96527711; 273608107; 679359232; 461050380; 711903291; 957720900; 794623679; 247518526; 210325577; 178762415; 293406800; 572166436; 299455134; 644264207; 51068042; 358068888; 438503499; 583907627; 660873371; 153415752; 654644497; 673441363; 274571347; 932774038; 858751290; 907473082; 770924045; 603891004; 543392381; 72989159; 144240368; 464481639; 567576461; 208811886; 110025818; 344615131; 504836743; 689126601; 549317663; 256536350; 495055434; 637044827; 755680189; 710441033; 147463796; 72866024; 198066979; 950410639; 536920136; 817741101; 758811627; 894788114; 71371132; 203049376; 469348813; 244252933; 112978402; 593053730; 885617757; 251035480; 54924876; 976775716; 584502941; 845294171; 859322242; 327093806; 300595057; 762742782; 521255506; 366648418; 892252027; 843135189; 336375028; 87809245; 277515346; 423947390; 670011693; 602620390; 988534805; 100529074; 297622636; 128738783; 344608450; 518154926; 205357396; 647386568; 11413129; 273815071; 605745772; 535735529; 780955902; 238803305; 72160722; 488308642; 254210590; 719264294; 919889283; 282888952; 764466204; 84447424; 562552172; 372458069; 653243988; 107784996; 777947740; 525818672; 711547447; 610787417; 801221002; 889581736; 948028183; 841614516; 983296831; 187685710; 977272772; 280635424; 961847129; 998115970; 111650337; 570073136; 384637571; 797638626; 203603489; 875974552; 840444424; 5022121; 214667817; 422601550; 700425990; 950332521; 359699644; 477349096; 607903255; 408628230; 454876987; 925057165; 849290208; 844265666; 110547659; 564221413; 633072914; 459626433; 756990032; 247348989; 594762037; 251297917; 579784396; 215609723; 359577477; 429290021; 415521575; 220837271; 953900640; 438301732; 713833296; 65149534; 698800827; 595362851; 494746879; 262815013; 144840150; 265189890; 566926127; 76993334; 898333765; 17835830; 452704474; 301650402; 663567847; 428298444; 253914148; 809191640; 535886960; 479435984; 844894150; 487345423; 933498496; 181134868; 125345268; 42389657; 131653715; 807251423; 75043296; 192499230; 950313524; 249016569; 433675012; 413811030; 585822183; 609598034; 998802123; 970786381; 88230554; 855761103; 715802736; 741668651; 199019742; 300470243; 103541565; 46958035; 949825512; 19901023; 665694592; 398101488; 360291240; 479347567; 740914572; 325984764; 96515375; 391140858; 760356982; 162065718; 514902097; 13446798; 934842282; 47446945; 643481845; 650916997; 274827440; 60466703; 46039594; 622732027; 108310410; 374054937; 232598898; 463676976; 689682400; 726709547; 100101887; 759162856; 854559174; 970209121; 711617925; 223297725; 200010650; 855372343; 266700872; 186143668; 861030039; 578932284; 136075211; 13860939; 264400199; 416497929; 267037432; 83928378; 334419797; 51877942; 475756272; 778643761; 567767252; 279837233; 31567238; 936661748; 705028642; 763003623; 689505706; 907169773; 526676541; 981787899; 707360774; 305123579; 362150653; 32104807; 43551195; 994610608; 507210610; 226904779; 801658538; 592341185; 196399429; 763328448; 91766588; 961581196; 275225487; 610108454; 593106130; 566955320; 721662006; 692080609; 671707026; 416583738; 630245801; 124823101; 374487246; 248869401; 449615721; 257812372; 265633643; 390390413; 586517514; 546500372; 134967171; 768898918; 818241403; 45291630; 472610130; 390205777; 670852219; 167555627; 297912798; 770570567; 189748836; 108244698; 71445472; 91384760; 477716838; 854112346; 735945341; 378570791; 839134244; 275391526; 648385503; 911909974; 497615668; 186615245; 91037685; 592780235; 853572035; 9797248; 342681649; 164795852; 813142915; 233984455; 871484828; 428615449; 984751343; 814144315; 511943614; 468913955; 14762012; 473617234; 797719504; 634252201; 181911721; 536374860; 102497828; 790226011; 961068722; 908762303; 192125859; 5152282; 304090475; 617042054; 333542195; 329466202; 740960306; 655430558; 126815976; 498936276; 695104874; 955246424; 639659030; 137529027; 81802103; 232412960; 701096386; 974449929; 270228346; 186699289; 609632173; 487581217; 743996948; 985671186; 332634022; 485147903; 581478281; 219301122; 214850589; 475346600; 163073452; 854253371; 234509338; 496502069; 468855818; 349503909; 110610291; 381766387; 430080980; 842068923; 810841829; 10534682; 947195913; 844034129; 388075488; 512926636; 769590924; 641646561; 695462610; 27217796; 741867446; 650039840; 571763822; 595958268; 989627691; 942041751; 488620850; 906725490; 738659722; 171561129; 270150340; 157114286; 617892299; 196453740; 159775636; 294108940; 908735610; 781733846; 822314023; 236389617; 403793850; 603083633; 150720172; 504899484; 56707488; 757139369; 132591128; 854594007; 321310475; 96085648; 542789368; 523808403; 191853681; 688341705; 961825771; 44470840; 922087614; 110671299; 423160459; 907832378; 482389967; 126433630; 96027281; 58882129; 82663174; 601514573; 762275316; 971256592; 425337727; 668207519; 799665504; 234432250; 627014335; 575123149; 798932362; 76338584; 965156190; 176550005; 613917587; 546869503; 343050890; 424858864; 447827426; 347840103; 378296488; 136556931; 70633094; 846911428; 777655324; 991601292; 455291915; 789130000; 54330637; 837202109; 414406718; 993938425; 858559165; 703477429; 100808944; 77327735; 928953259; 561548283; 623227478; 951048234; 365643641; 252818517; 167510814; 587699923; 625586777; 473445632; 994728525; 284061703; 618756217; 816715560; 195231343; 421210632; 399800135; 694306088; 867095275; 74757158; 706512125; 866273470; 823656937; 894998246; 946362500; 189757114; 763717318; 445776142; 704467706; 516233296; 826183297; 570029020; 45508413; 399693792; 487298899; 872720635; 519724819; 605201757; 297021988; 444368982; 791740706; 592337095; 970969186; 257972710; 34630406; 983503446; 958825765; 461389725; 516812538; 249271600; 607004560; 167402967; 745492167; 196462803; 593822841; 371790444; 781601286; 838974108; 60304934; 501954236; 892339806; 695512128; 448888016; 844962805; 159162079; 31990836; 74774561; 141762230; 985045977; 85428377; 631563270; 79263494; 122317028; 83091838; 487472966; 177744204; 658507978; 481550271; 671728345; 305355193; 278568645; 502350920; 408610745; 568870957; 904104068; 733082030; 899456087; 200404018; 815058429; 171510374; 390681569; 480670329; 239521505; 772637339; 762848247; 26204659; 490997674; 153497037; 302542444; 547208525; 855511510; 17138392; 277672652; 74312849; 105069448; 483708873; 564390146; 711522650; 581005579; 466510771; 674519362; 173665206; 774365810; 976059071; 979769339; 261729816; 276408921; 534494439; 912640083; 880942367; 744850414; 373264082; 74809778; 989715410; 814604227; 138669987; 65617468; 283072707; 655117604; 290440286; 547721166; 799753590; 130111264; 764268253; 880385360; 438926761; 191066578; 744889889; 510646920; 35113863; 669821795; 568044641; 502992385; 844332774; 720124923; 935836626; 141884343; 83388794; 240776551; 673604019; 556412816; 408495480; 832511325; 864094512; 177093337; 242878916; 146080110; 706429040; 742829728; 517372071; 802578300; 30021023; 721027265; 367952682; 700566292; 337412108; 921065223; 2134172; 809038105; 179615095; 854005182; 650837734; 76771753; 944366236; 681807780; 94304479; 886226586; 979297603; 91047196; 392854741; 156791855; 60413431; 211564522; 142778973; 114485690; 504550092; 635733822; 518684238; 582214388; 319006625; 355831293; 286558341; 126340568; 940496988; 507180674; 763622231; 216451034; 837564003; 496021460; 393563231; 683175185; 975147219; 888744232; 937136627; 558018917; 141731169; 159826664; 512908375; 140343606; 473158324; 996338101; 592530785; 27061833; 250500901; 536192559; 69167655; 12488416; 276469737; 230188923; 150194085; 308567598; 808723012; 540153921; 635674218; 34364258; 573138692; 840083591; 246611605; 195674985; 322082282; 244902852; 254271007; 959404815; 374370074; 826457376; 617986086; 116498511; 57472933; 972365849; 273791633; 455945512; 523848134; 690680406; 824296987; 154743246; 238173559; 384393062; 28365134; 232912843; 300847628; 357572239; 889225029; 226717400; 52107095; 405474347; 427066161; 79890213; 103008317; 343414535; 210740736; 604262010; 679861650; 958056075; 946064859; 362162542; 221470715; 457854510; 118285399; 381566030; 792770094; 18934426; 142471862; 311487466; 836564918; 572520080; 671483489; 742321783; 687751958; 97064296; 756175661; 241019977; 154957972; 775471998; 304130498; 978405073; 501615246; 631332944; 64651642; 641029548; 660936550; 714033081; 500707835; 349162421; 644670177; 771160647; 872158566; 59207420; 671681386; 205747918; 518145722; 566827151; 34434070; 979169753; 559716998; 178410760; 100358641; 201318003; 439958104; 914645294; 233640120; 363985409; 840947238; 564881364; 257260688; 623440134; 688218924; 424506755; 638716814; 391362324; 600646935; 663237090; 694453177; 444767053; 384869803; 163063315; 425525399; 227105528; 94246437; 773703429; 49415571; 136116233; 400274283; 761034313; 220459831; 518975605; 435626073; 503711042; 224520753; 172158033; 169688476; 900391298; 457214657; 671655332; 92602477; 980673671; 404061464; 935534236; 849913394; 180425345; 934883624; 61880852; 645318303; 146641092; 86538392; 433500179; 359787803; 874144540; 139718242; 854425290; 23420694; 660818224; 644037340; 313731579; 218062397; 102161569; 28606413; 759825581; 248199165; 586678882; 914699551; 452648297; 515957833; 761562738; 233162044; 346326984; 853862644; 830841070; 425014203; 562235498; 49060902; 553788784; 640501662; 108346074; 220109081; 939152917; 239228713; 751798769; 226135237; 140376977; 399425437; 268426567; 764260268; 916098316; 809768337; 716730684; 681816095; 783870310; 817266580; 633543718; 860295118; 926929740; 679169149; 18285285; 687416226; 10675125; 655258309; 327587502; 992508473; 776465403; 423853303; 490551611; 84446753; 960494381; 959501583; 593455111; 434439739; 168520694; 1727406; 908945848; 803095277; 125371173; 334499687; 426374081; 902787252; 440197190; 333120704; 390014263; 807200810; 484971867; 157120824; 283844808; 90210200; 947611324; 494343818; 587813812; 274427504; 852316689; 667398766; 346655400; 740140061; 509352436; 636311733; 793205157; 183270123; 528821580; 83135772; 29784188; 353879407; 698287736; 463055531; 564759558; 261309523; 348463154; 188680933; 278609499; 288812098; 850382605; 978769896; 689671583; 370541353; 815874615; 42891369; 670704124; 988952538; 361216582; 200377097; 600601899; 403660617; 603939276; 145915267; 806932541; 353991720; 222739090; 368586496; 173009804; 541341575; 346398930; 233248410; 887591769; 755018233; 972094345; 420828019; 538842465; 251467951; 352864990; 895353714; 827680807; 381477155; 602468267; 937358463; 432578363; 389537277; 876644867; 771044036; 734977046; 412657570; 760256673; 3778120; 11409995; 62626762; 691073698; 807698748; 224926476; 129902797; 656649283; 259687750; 741591549; 595472273; 444741943; 80897351; 768544839; 596249585; 695134512; 651476099; 798592604; 459952429; 49958669; 679208948; 95615299; 940424773; 945722672; 910918817; 77983391; 98843349; 421638127; 489044821; 870903145; 783663356; 309232266; 609634888; 442417798; 722235924; 602236470; 752705151; 780987207; 743293532; 768550702; 674024795; 211633468; 353267069; 2192426; 881314049; 33473358; 518139082; 952775281; 681579622; 270065564; 616703943; 246953786; 428995132; 24565273; 167351238; 148186602; 174685767; 52000683; 476069772; 361436109; 585231658; 563618451; 469679252; 5357701; 89196354; 519323895; 685961090; 673888732; 286132475; 828058982; 112822276; 946475689; 257905571; 513023089; 984656276; 262605252; 779796802; 234689154; 329092184; 859106879; 474501900; 833568449; 993043778; 18201492; 529381955; 566675611; 981534613; 467270010; 872478329; 587798813; 879023023; 374380701; 670120309; 420572517; 346193120; 667691642; 586359520; 760217374; 191071261; 621641053; 194159506; 155133331; 995699089; 373945392; 760431064; 20474637; 345412485; 876654472; 247775530; 21134216; 292794244; 70881705; 17033248; 916658589; 147444337; 89432692; 414386538; 881071270; 547837434; 473533446; 563950592; 431464745; 973951109; 540099399; 297605937; 855141676; 811451846; 340000763; 95076030; 850913523; 429587891; 430009729; 671013372; 390731447; 347090843; 205520092; 108405652; 8610937; 898419346; 679778687; 823005918; 435834196; 666083490; 813686475; 657076421; 96022775; 511309328; 259539729; 586430999; 454335009; 51128306; 163494169; 798637904; 663557173; 641640227; 315750491; 300951877; 103033855; 558307683; 171414822; 547080870; 130034656; 139351265; 952833102; 313882127; 23194626; 723498128; 670016452; 863901018; 65330993; 149852124; 46095124; 966692630; 907631208; 179131687; 782141004; 739706942; 921071125; 580715527; 494175560; 250520200; 947503187; 935725320; 624974152; 932145690; 635108473; 583925009; 943993525; 732820609; 732185565; 205759698; 971483546; 818437156; 883818758; 648556857; 160853073; 347972701; 411936259; 342610326; 1583739; 260789691; 705388948; 411638707; 341823653; 201611905; 59596742; 19420395; 829664336; 101542335; 926730051; 647207668; 822562499; 830575229; 357823481; 67082947; 841007040; 19199736; 629848131; 785178192; 664795997; 650479804; 144711375; 969495797; 201903980; 469031270; 101126290; 601811841; 414972091; 707938410; 134643942; 316648721; 932553373; 196677635; 135823324; 285873888; 314258620; 849644979; 372485299; 144800388; 636534857; 486838965; 718959822; 609313283; 705527210; 386171173; 331314174; 927358422; 207060650; 411448579; 32060993; 82457790; 288165960; 569773236; 353415590; 489710214; 64054706; 662995368; 317744951; 133556477; 855690340; 76844890; 349078405; 636207779; 623873857; 986020275; 642789184; 775474463; 652034446; 412764484; 974653379; 219073536; 996179841; 579599740; 544736897; 622116016; 752676433; 253468856; 908940458; 631694511; 115245490; 961194666; 636914407; 120024094; 191172505; 656609393; 439224085; 662729348; 447492693; 546350823; 549068015; 255372250; 507793347; 168052206; 858606855; 38444516; 921628436; 509294223; 828094814; 850712306; 483075159; 349290839; 25623876; 748647883; 29941391; 862166371; 801032138; 617966500; 820599758; 3845746; 966326335; 777675275; 929792510; 480798239; 363340941; 800229477; 213124118; 206806288; 131423021; 2281237; 97345993; 240648033; 389015100; 997747899; 356757178; 821534044; 594625898; 54811103; 39965058; 853597808; 241375544; 574128743; 11988362; 908582406; 385618665; 157134844; 738833123; 613934601; 384663001; 322510831; 603178342; 293491005; 460701176; 284882285; 729110766; 42822167; 391564854; 562866607; 162115114; 245214488; 246562286; 691170784; 954382783; 678736710; 806486448; 314522524; 93013353; 599971230; 652909220; 964715955; 537175757; 445585318; 594260771; 843813462; 106748220; 716660103; 215228868; 200074526; 523646807; 597740086; 632114762; 972274742; 835482772; 703219355; 321798326; 434651574; 517812114; 204509924; 20101817; 227375654; 945639057; 926993978; 892140081; 33971387; 54769575; 343017605; 934533237; 652359679; 815572911; 946344014; 672916635; 246297237; 849036821; 914611642; 950759803; 859713779; 929340752; 654393783; 554300867; 336981082; 483922886; 248419390; 480989368; 417067735; 762990504; 835987161; 414281166; 638817093; 327949304; 6159449; 107960857; 850376189; 962053620; 99700399; 758889168; 988237055; 768654083; 631850309; 88507752; 96261689; 366891115; 68309398; 408303516; 46761286; 54054152; 749430428; 634462018; 487034145; 486095792; 293671586; 151810236; 112682459; 875405756; 407312380; 873856218; 903341692; 50900359; 643802165; 146511745; 308666783; 808686714; 297501769; 695548678; 843896752; 381994355; 56600070; 182654381; 573560643; 841926965; 664020617; 560814054; 172709570; 681490423; 192108237; 303946857; 60149072; 987681057; 604468031; 457280141; 277267148; 533965698; 800619727; 76691781; 92257236; 337794491; 239052716; 626317700; 399510502; 251704325; 670752218; 927152936; 889038015; 626736644; 275265385; 515648766; 19125327; 175166090; 568750119; 625501153; 470793115; 52455375; 801639694; 175190757; 316077270; 523877302; 955136331; 938114465; 726979426; 199636440; 608250040; 108896504; 595174659; 792356602; 463936211; 851690826; 238053897; 392791052; 305774738; 684591519; 135386936; 346051059; 183362569; 75586124; 646353433; 488679784; 832989845; 205664941; 113532124; 450993716; 187949277; 256063970; 337166613; 199202670; 872612406; 553546333; 903170555; 69845615; 660588872; 671122490; 563659156; 801725995; 355501935; 909118553; 939839093; 644663952; 347383679; 253593685; 523963999; 557203202; 826147604; 194666331; 861708858; 87952087; 883309353; 874998483; 91830423; 897276229; 129328519; 72811858; 770422665; 461455678; 485809884; 494883436; 837186598; 373830270; 631622730; 773475492; 275179508; 650861145; 355000439; 91562598; 629646276; 552922439; 713183278; 240019971; 175753795; 635093383; 584349041; 924850517; 54904519; 376147794; 210923883; 509987679; 441078164; 827377036; 698866406; 587171652; 575786123; 31433110; 365428766; 760895433; 43030326; 347978337; 886647197; 512325820; 691911219; 404955085; 289301521; 520045940; 237563121; 184761742; 89310806; 64570804; 952769912; 182768669; 819422692; 110269467; 527506347; 893625949; 143027389; 24016234; 199928619; 744422043; 702035798; 712667944; 289662759; 964554929; 933993721; 417058552; 210486592; 481812223; 666167156; 873934605; 411519672; 852799097; 515744464; 480268034; 16742969; 878069178; 33913; 648360237; 336920253; 220617059; 574545230; 566016563; 505981993; 643030446; 695159288; 255391908; 23004834; 176898507; 618476019; 834890391; 737275058; 417092945; 747097167; 834541403; 210034475; 216034830; 379246087; 809542926; 29333680; 292639856; 383070222; 570221408; 530397967; 887534051; 328850434; 15819775; 572402363; 47665037; 521758585; 623235406; 559513937; 398928652; 912874491; 932348188; 914108299; 727804030; 999497402; 113000817; 568451540; 798657516; 64214238; 13480936; 433132202; 730799475; 546728116; 823505447; 123465792; 833277600; 524947339; 935537821; 408657250; 445931457; 227996233; 111001807; 607457728; 22556178; 412910714; 647256143; 682939959; 807986364; 453424801; 155355381; 853278697; 868267312; 671536125; 716790991; 690718391; 24556365; 800422475; 200713387; 776949842; 640329486; 539718390; 892073081; 751106587; 465603578; 350979859; 392774049; 737668400; 337781649; 570031836; 166894659; 213634696; 621884176; 101687818; 647970667; 32660175; 407636294; 751408893; 898195838; 925428591; 491078134; 263892285; 693472314; 647131976; 432943337; 475860198; 741421708; 654638364; 409628361; 598518393; 276826709; 397764515; 829935787; 932166470; 929454380; 291181797; 239800944; 656409758; 828442922; 218293656; 715363236; 395858827; 656528604; 376428430; 910174862; 382446756; 816261707; 474529246; 254393697; 850736311; 814969485; 76623738; 807265106; 567179003; 852666402; 26368387; 243255783; 862174826; 437660763; 825663719; 153473943; 673815575; 885346838; 749354633; 227944176; 593180822; 883085309; 679358201; 101516744; 648517780; 558709793; 904250848; 135539008; 985417751; 890798682; 216080864; 160707469; 212818325; 936020194; 301272013; 917294257; 317856443; 845923707; 743588957; 452575338; 377267369; 180952367; 66228360; 637335141; 948476637; 273905796; 174664111; 775529891; 42269585; 389061649; 175304981; 791483882; 551138888; 981290016; 933465151; 136041626; 970828595; 881805865; 530659302; 131673355; 468312513; 966230113; 220075904; 574202430; 683756221; 691183272; 153652951; 391769245; 424822563; 433437484; 50033463; 582763591; 253174742; 497131125; 714012973; 544521248; 328421815; 259113998; 466040839; 361920263; 173139588; 137616624; 400261575; 427515164; 4512961; 626158842; 34495521; 938588464; 756817567; 112550928; 304678185; 47448887; 585855690; 709244664; 543616341; 507125650; 595913468; 392626496; 918477618; 303981209; 55545944; 327167138; 796348769; 999784642; 143124515; 869754010; 167008457; 540184879; 309886119; 810775485; 580121227; 621495520; 877405498; 978263781; 103176482; 521872626; 329576518; 21608418; 429930262; 61735471; 149962604; 707910970; 469969808; 809872010; 472286967; 604093798; 425499879; 937162693; 422644279; 128594315; 204673093; 102980943; 835177027; 502096004; 937961657; 258061152; 793960662; 514271535; 196523326; 541852562; 873091852; 536280675; 941856090; 665958096; 884888438; 887931749; 874413065; 850801270; 850663872; 51879632; 541168347; 293326047; 290895036; 874140601; 621956792; 52275751; 921478781; 941246745; 618333118; 445663310; 77091212; 655318097; 873077286; 267888560; 408025260; 18981265; 353135826; 775806289; 864073917; 603167328; 68268439; 856966592; 776452587; 716263954; 661943485; 526717345; 572613561; 984853298; 51022864; 389549047; 656088993; 922427077; 441440945; 653224936; 448980070; 623140515; 470763907; 599722944; 635319127; 159019238; 529939552; 270046392; 748818360; 14437834; 38036377; 744026374; 733758616; 589084785; 895697964; 308267335; 610700181; 417220922; 268299169; 517658714; 800494851; 790246018; 323437723; 419380138; 784530573; 786311667; 477348032; 886514368; 603053356; 8875265; 923126023; 67859664; 2263262; 81564628; 637668245; 405075398; 530065509; 516342684; 15161318; 679283480; 506446342; 423948098; 429864327; 225407091; 168705688; 822101875; 79145248; 588164816; 939238422; 472687075; 813777170; 209361154; 279961691; 426352515; 625176354; 436604018; 593656104; 385132221; 27457216; 422052678; 599456011; 977122858; 951149860; 134405162; 785476015; 683677143; 616292005; 592876387; 894096286; 788352055; 295190069; 262693923; 512958449; 653249094; 671314977; 563751364; 295612299; 885434715; 958402259; 327361439; 388685829; 190462685; 914374511; 37776931; 109622274; 635931261; 693618332; 737985184; 326378667; 771310969; 72792512; 121082634; 638910178; 738663801; 966524305; 886428042; 903333549; 139867712; 329635506; 454807900; 273652613; 948204337; 306326077; 680382991; 701957252; 709181371; 430040294; 646374135; 743138503; 784354119; 397902614; 980888582; 943024409; 469558249; 537402058; 365214551; 519765683; 902709049; 553352164; 137637347; 907447972; 492351595; 500016349; 853610680; 60210362; 555343276; 803732280; 977608150; 493311126; 667426308; 426868627; 876886125; 976520541; 340188918; 74523507; 231073465; 169232856; 977317553; 763305913; 874597984; 804314702; 365008874; 605724694; 166357858; 175474443; 760139402; 857101038; 880885333; 440492653; 120547624; 331179985; 598956111; 36961273; 382329770; 61313774; 903809554; 945582656; 603250083; 949385101; 101043564; 434069502; 741951612; 916167639; 41246808; 611429570; 796742463; 550610914; 855229128; 433359938; 395193663; 77778212; 741047582; 176850694; 948623426; 952477399; 117484004; 528373876; 126617977; 367414017; 354475843; 67433983; 117429056; 476800567; 886396872; 891911371; 199448852; 441790094; 66946428; 443042301; 508711359; 229056599; 82673902; 232183014; 199336346; 457468359; 422866886; 526609574; 123733560; 347225114; 923271917; 657287052; 401006520; 847395918; 440452473; 63820512; 861323514; 758565543; 371265610; 517960709; 175129097; 117311493; 635797644; 17281900; 429756483; 506461929; 144828127; 859719673; 644796141; 827465377; 580456718; 148887143; 17429279; 907614717; 163853720; 82475201; 308587042; 981207329; 187793974; 926167332; 86726967; 888737798; 67019956; 375639746; 597475322; 786503026; 402902817; 262568862; 960353906; 866336899; 607091050; 590957068; 976463473; 120265767; 644839530; 448102962; 54295965; 477178996; 52989616; 190430595; 52011201; 586395626; 68785690; 601268903; 642317723; 314572997; 891545643; 983947537; 901938810; 736840262; 587774671; 54152973; 214586270; 861629380; 375888993; 792128660; 758805434; 610722348; 652260583; 482882316; 609175648; 884684702; 767347504; 336326620; 980888766; 151313345; 144944714; 160879586; 348325435; 220761873; 292399268; 74509641; 821087756; 249138467; 57586107; 499141761; 681909765; 895343661; 383998405; 385054846; 697772610; 264686654; 537728762; 927037010; 337109270; 45063887; 995195801; 618825483; 58929949; 276959075; 23587876; 914564694; 339702450; 604099902; 393966428; 376107011; 851587520; 890345473; 258642304; 932864771; 158665752; 339652727; 650186666; 270649104; 65197338; 662303000; 15858541; 569732331; 866185578; 223798270; 825764245; 843024789; 101338031; 834345592; 71544288; 904700599; 118338327; 964307475; 594438972; 288590904; 214853027; 145110207; 209897947; 939130459; 421663399; 197831322; 324476394; 583048009; 917410219; 60561505; 641215483; 574952656; 886919000; 816078377; 65318921; 782841805; 747501604; 676311251; 799133890; 976868059; 877038081; 777666581; 739769252; 10136799; 241979462; 722892501; 857047564; 404427106; 832677272; 585390712; 769285413; 906031543; 349457511; 721635917; 927345330; 772364528; 209577357; 555120129; 4695168; 474495672; 143482042; 932472003; 745430531; 458513346; 651362574; 598785325; 353207018; 93314772; 603236921; 979520041; 788404896; 560078389; 780473405; 296242445; 752161002; 220526906; 539137168; 907574311; 403478485; 805337219; 58598089; 878742722; 549395077; 315942498; 749481217; 135708856; 667148767; 259852233; 984878579; 987103894; 976269887; 303403900; 808792230; 600338356; 652246795; 792897565; 650428497; 762615000; 738791701; 688806767; 590832939; 686630628; 507938485; 572952486; 825552348; 919231805; 452861061; 483028085; 217349787; 947455678; 364148776; 56493453; 316277170; 31574773; 595665536; 239736705; 549376748; 316952644; 284495528; 212114030; 813421410; 116411703; 523668683; 786614230; 304726939; 150842231; 948448954; 34737850; 493604710; 731446594; 622597283; 332155777; 364083193; 193205747; 954212009; 117648665; 974856949; 327768384; 330407921; 762849413; 140293167; 434601332; 973565189; 627083534; 653063100; 634332653; 386853928; 116191635; 940640576; 258620498; 114318003; 853979089; 91719532; 692518439; 792326132; 937904356; 529723730; 490990931; 277067415; 86607700; 677037103; 434003989; 201599970; 649445958; 324970611; 999537882; 251090903; 11342933; 516918482; 941334890; 415313024; 95764654; 413128439; 108701547; 368856990; 972235813; 675853728; 669950736; 267662711; 822747576; 945139068; 996580991; 589168745; 359273257; 594889446; 824721692; 390361406; 223865396; 471633036; 691222512; 471409414; 523422718; 98001234; 498086030; 948552917; 489569846; 23669927; 557800862; 692740353; 373568236; 755027028; 982277692; 351987067; 196035754; 61130376; 975378300; 222823560; 242484661; 460401427; 793609977; 537519358; 69276576; 712146486; 307076371; 995253598; 633919947; 580086650; 606929191; 48353269; 783009465; 721581714; 668116121; 153850855; 626082663; 840705934; 594125188; 500923878; 448800818; 185831989; 704189761; 868088451; 380692905; 863853789; 656449090; 324476482; 60254016; 837900799; 452725656; 659128754; 101539499; 109467980; 155891588; 12668296; 450520351; 707603304; 762377913; 118543020; 819422606; 224953226; 137940282; 157114551; 688954616; 248333325; 912805632; 98708017; 651095395; 664533352; 744976589; 573544711; 977532380; 80194429; 908798935; 744326218; 455044147; 971540534; 451000305; 943542245; 963557281; 582450696; 215352592; 488474896; 378125462; 397348884; 448842889; 142377177; 661147398; 445673740; 15200016; 998593620; 666403862; 742124295; 882357119; 840293485; 247896681; 238510772; 72077097; 790191782; 29349972; 444514156; 60055191; 357220223; 979465404; 213448912; 93620179; 998112855; 904557816; 726980458; 662114361; 820709172; 604268576; 488994209; 322008906; 834762719; 932202560; 740259420; 184447499; 473221960; 334798983; 665080520; 24273087; 784268332; 533649868; 530197265; 205873936; 206599033; 266021515; 998694492; 469589730; 42437456; 28871806; 763044667; 873180659; 678279234; 837553236; 14862073; 271226825; 113309564; 281589712; 739389790; 889650511; 208213166; 110841140; 252055549; 663348023; 477732817; 7429285; 252607696; 131403048; 701598584; 497892468; 188471695; 611866056; 826896571; 572974253; 127095626; 724147526; 231357599; 31807592; 24922946; 688294501; 53645973; 154082972; 396763680; 773230225; 830184377; 78574159; 355007890; 44038892; 27804658; 633282355; 262090439; 743135846; 249950277; 192811674; 757764405; 62917549; 703165987; 980510195; 792376043; 180718987; 661013269; 526504162; 551175253; 865845592; 212475506; 477412448; 724187955; 842055161; 625270760; 956331704; 517596657; 97916410; 739193309; 869802411; 528315079; 360053809; 791207767; 882453767; 665452919; 378750740; 797041299; 862416661; 935701931; 821397038; 753651411; 841721477; 234942511; 996583632; 408198954; 14034632; 461612983; 188296368; 949255785; 332549182; 819710392; 807244647; 305828812; 783388050; 607019126; 99353559; 257546142; 689457037; 990133928; 894447613; 545445656; 653747779; 676054528; 217278583; 124993572; 997153662; 937480216; 39349814; 595138638; 337393021; 211550234; 504307969; 533248999; 129438619; 108570227; 708148417; 772152503; 267364797; 524640969; 325993560; 998351111; 469229862; 730441223; 655163648; 868649092; 518031005; 541225412; 270251999; 548125803; 10425728; 525185222; 9204728; 131213515; 130379067; 446123568; 927010661; 155732318; 203909777; 434524902; 100554826; 526707156; 497831019; 262196685; 437719028; 179120960; 392856653; 602082239; 323312790; 913478482; 894886692; 554348994; 463452016; 649855437; 144865710; 427376073; 133240608; 594239105; 322230373; 613679652; 510444121; 460603812; 111683891; 945694476; 777131582; 843885076; 257664933; 615111746; 267339385; 200872157; 146316667; 142074036; 370236263; 92122618; 225056129; 87570433; 571232247; 381912703; 940394360; 593327812; 567063392; 676159957; 234989543; 742841948; 166529760; 225086103; 913079762; 49515144; 967645431; 896918959; 196011864; 584923654; 570315000; 150408083; 822732739; 537686339; 408592887; 783001547; 74518797; 373960945; 244844335; 330536997; 226264460; 721909404; 247772145; 441264015; 131302296; 527771816; 785797208; 212875804; 365168372; 208349576; 608825116; 793684232; 433802337; 39697415; 384438798; 388853826; 49701207; 398984205; 757659637; 796349181; 994312700; 627122121; 82435278; 493069702; 515248501; 546603785; 965834786; 526914898; 115138670; 985842370; 909078792; 151634822; 321788442; 906852944; 987383519; 49132989; 698976144; 672622668; 721046966; 729027142; 263197472; 249512040; 137370994; 521026422; 364426817; 195958050; 16299585; 425890527; 625702258; 335822777; 424725500; 488877154; 685813074; 296319954; 565670800; 287696728; 167066321; 992409332; 934496703; 99158810; 900312339; 97498111; 169685884; 521937130; 765513359; 124571992; 203584265; 672693836; 972858163; 440771082; 989344401; 588486979; 656400850; 656739676; 400164013; 335522317; 957086244; 66512514; 358881508; 292329301; 847231903; 887585371; 492071164; 306445174; 289743471; 969552904; 979238531; 166750197; 197863223; 210045584; 684778819; 508077053; 598622997; 465773284; 892792175; 965069659; 945623383; 882285593; 689327749; 479874469; 767695076; 527297791; 876383747; 518501490; 236982142; 907826709; 654711977; 916402673; 431452070; 562261673; 472069762; 359557263; 64810834; 109374255; 478650822; 467004910; 658094620; 491274748; 740460451; 517543485; 170765760; 67514164; 189397661; 897754899; 698916301; 257869149; 585911865; 291081959; 355807935; 627699562; 672697863; 378153285; 310892216; 905756458; 800338532; 100750514; 262183716; 385726789; 515212062; 846988397; 741374778; 935501440; 537816412; 314664588; 644113669; 805423838; 667183662; 133982075; 16537263; 833930839; 805432347; 894702606; 670328405; 721316608; 203701296; 647642986; 766493404; 833396174; 206548314; 914613230; 464595404; 773892338; 176327344; 9907258; 501134437; 119424939; 960574421; 346776928; 93566189; 128288733; 347961755; 811468230; 877106073; 644907164; 710382873; 869396556; 562782076; 271765576; 150138418; 519977004; 311698311; 473295216; 558074020; 902864750; 63041947; 167981179; 681493415; 922625311; 139430698; 384836998; 244776809; 107743744; 758449660; 916446839; 540753121; 278640466; 866749835; 629090566; 401081817; 572463831; 841700278; 848981752; 237392150; 725968333; 710444778; 957935789; 644064172; 223760774; 318145713; 281506276; 898237029; 323892409; 159059807; 190134405; 294689647; 546793765; 415166119; 804075443; 573070018; 905183941; 218117932; 530716709; 652063303; 548801894; 927902568; 808006137; 920933209; 500073133; 647776322; 659772860; 591719804; 403266533; 762923556; 73290294; 234330065; 169646963; 32726695; 276139069; 619517579; 94969208; 573126573; 475169877; 785419071; 91259602; 925628376; 770823169; 731619344; 397469737; 394041073; 407440988; 400544707; 508555515; 622476745; 631173025; 632188256; 671261913; 491096014; 164228752; 35354379; 425967024; 583889894; 823660279; 660854351; 882892134; 634823066; 683965824; 610667142; 911936924; 833326313; 574395477; 648618034; 38695149; 812640761; 47975790; 43669278; 221004393; 611878368; 972110440; 638775488; 940561069; 129650387; 862979767; 37892033; 592547251; 253500791; 96549002; 851210732; 799875318; 42775206; 217785275; 839517296; 485435343; 301341764; 699605206; 954809569; 831990133; 725019958; 845531437; 366243854; 516759022; 74913138; 722525954; 486903351; 760142955; 371742760; 955699818; 574118549; 686924598; 257711843; 428446660; 766898099; 809633088; 630538084; 734137233; 286724018; 461627394; 870153680; 165372175; 345946907; 209163746; 910524368; 863268309; 803113671; 497557351; 926003720; 109385640; 163507920; 714769276; 182892738; 899213809; 516621674; 289514672; 848715525; 84721576; 753001950; 350550842; 812998504; 610300904; 523736468; 817253803; 336975471; 371593140; 785989146; 497109701; 206544816; 766441671; 99786593; 133215921; 878373245; 58170562; 606637933; 315565907; 850625031; 254982504; 2322375; 673931608; 103146591; 889791634; 53859513; 236213539; 754138773; 546612172; 941402980; 592443110; 86066893; 277639763; 162332751; 86043732; 212529565; 441213095; 360491824; 840785602; 190393423; 642379966; 80721313; 402355242; 927781196; 469799245; 590172299; 606339937; 5413578; 146423737; 148690376; 243111532; 829420215; 697815025; 636806172; 743365981; 460814626; 871812196; 504718439; 862071287; 252586500; 993619929; 479977191; 631733445; 52870513; 743593306; 741570060; 777667534; 128151224; 771329306; 41041332; 10597413; 352729929; 251188185; 225372418; 12479020; 752477331; 3942053; 125814946; 70913120; 720200933; 279271291; 566848753; 858073122; 940910986; 877798775; 871508440; 614062856; 815594058; 876059723; 823279457; 480929260; 40352357; 988875365; 297921063; 731759155; 603935241; 729487379; 817871668; 668187609; 929237989; 449086970; 186122534; 101142710; 929675463; 135089418; 552210928; 315426627; 5233712; 917921754; 657055609; 550266139; 470265096; 883827453; 729646435; 357677816; 845952811; 571117015; 913977204; 601693284; 529006886; 932917762; 481693141; 698906180; 387959675; 260035439; 842171277; 824516600; 518015700; 542728175; 577998960; 101069416; 805388411; 766447926; 328929560; 751656721; 544965822; 760463448; 198196402; 842324505; 804735228; 462418359; 335418143; 242105522; 281665241; 659291071; 347839273; 356046462; 533799667; 828569252; 512190786; 702549287; 260895952; 381315749; 769239368; 882609635; 584481294; 388448206; 407451586; 293198400; 270174447; 120208446; 241748147; 483462515; 776793722; 622388507; 200330775; 967010761; 250576677; 726513472; 726069485; 725439316; 200261002; 718960545; 34542321; 549026667; 660725122; 5422737; 57121478; 842793349; 291340232; 287998312; 721236850; 785406424; 748750705; 439322697; 517353480; 75322660; 585021555; 136739227; 145850185; 885888503; 422838996; 50741698; 48628260; 839771517; 39389077; 528131123; 14368544; 350171894; 238796002; 245854429; 947070820; 45132283; 543993151; 836508620; 474595641; 558050520; 782193545; 156670437; 234184698; 892054889; 145761990; 704569628; 224043634; 206824689; 393141268; 723310233; 832981496; 387984497; 40052999; 104574663; 813746006; 817384975; 63898040; 486318506; 260064465; 592943084; 23240710; 847527467; 376923286; 259246087; 494098014; 782663012; 329419024; 342227885; 62768921; 611248875; 246285944; 402000507; 442687545; 975034547; 207136541; 191403959; 529045989; 572879496; 165786144; 493192255; 847716119; 119224490; 627518886; 323209929; 315718783; 916494290; 585702839; 841464216; 520932310; 348489811; 132390501; 413377524; 540371257; 418168873; 955036878; 920608636; 540154184; 508876743; 920740995; 757782801; 310874249; 42913631; 242879670; 158677242; 738144214; 344828545; 939390462; 197869905; 17670721; 822852448; 368984731; 258867973; 23457688; 387258074; 929339415; 509717426; 951194537; 644767317; 425955444; 636212887; 879960645; 710756791; 669166455; 179292324; 550357170; 948313561; 476945344; 194469336; 106095815; 6855386; 418771434; 11548757; 192304716; 354748364; 979469930; 915164147; 501698129; 273809447; 946197186; 829167286; 6569904; 915403236; 592658407; 779327442; 965554044; 201160114; 626496382; 143101120; 467741750; 83550289; 957113319; 796441276; 403558241; 452000951; 501480131; 370959945; 467091176; 206068140; 873309189; 662471285; 293941493; 925133724; 927881663; 724887858; 128222908; 665734342; 101477207; 573121739; 62293481; 140592987; 838853678; 192757746; 659024968; 961526019; 719306213; 425334014; 877597363; 23620544; 801210194; 723505418; 512102487; 442685714; 167435703; 31418071; 836770231; 480734294; 419979204; 635484044; 908139479; 176554736; 181825074; 322968209; 139909800; 253322862; 490170426; 136350592; 649358312; 302574281; 282348063; 155512751; 307954016; 473817489; 654207331; 5436170; 325483422; 300442500; 456426061; 159594368; 535209988; 979458828; 985836157; 807354866; 983177844; 879879653; 868855174; 572852449; 263839686; 898635347; 109095469; 719294624; 593498332; 365882058; 871630404; 784843924; 944376771; 417073129; 990310588; 925143393; 666279219; 23486219; 283420257; 103641855; 518238127; 922990123; 95033471; 361689283; 27046571; 750803698; 664675800; 929772949; 835429007; 448952546; 329167451; 940031872; 730000965; 55981542; 705416127; 212837235; 36334507; 358262807; 297452244; 190474851; 892271380; 397812639; 840169239; 661632956; 341583785; 235284456; 792636700; 993381847; 409644560; 231217622; 676533253; 335609291; 206675057; 273249101; 688936209; 499971347; 903352428; 922367950; 953126803; 587591703; 45969420; 291330793; 624972603; 603655752; 818893524; 64714672; 380762708; 906415028; 876498239; 699719436; 484929292; 609934802; 296958649; 23073869; 709142303; 408520799; 111061964; 803572874; 711826541; 166166274; 594694644; 350363955; 553825098; 632161490; 94517549; 685210653; 944398116; 38503506; 453895113; 667927695; 645246018; 752596372; 181454665; 331458940; 10102572; 123200794; 438733782; 328987668; 141403688; 59458490; 516081376; 642431121; 941952532; 868287545; 319415044; 49122833; 757057612; 708357766; 790421965; 5217861; 66414072; 924885090; 304545843; 459822034; 42465726; 387934381; 785675694; 920267660; 537434082; 576966922; 813718009; 166029160; 794120106; 516643062; 60164841; 564372781; 459717578; 722913673; 161064642; 852147205; 579346661; 953891836; 588221117; 136824443; 515520010; 313576656; 714496605; 328882696; 860464743; 724643122; 302908750; 872755722; 336438801; 37660795; 380446259; 651591349; 607672690; 992932972; 951372211; 386124193; 140953678; 992674336; 427825601; 198394579; 508789731; 340662251; 906587698; 228275429; 914005210; 699733997; 768483920; 336742232; 103303366; 573215799; 316210908; 892578609; 539215582; 895428114; 928963798; 219288042; 501555439; 478176946; 276956746; 519471578; 334295531; 926375044; 345063213; 23875692; 686149556; 367625240; 923240099; 982239442; 741830844; 971996363; 91092087; 125816144; 438264806; 645522119; 995380476; 204340647; 36511733; 667260736; 568561194; 971218134; 178918322; 949928767; 789381313; 509264196; 10263012; 476890522; 382824839; 3218061; 999536627; 700400549; 572949255; 57886355; 487664935; 731446068; 322009859; 210070872; 635250343; 760441464; 417263317; 220352282; 304817437; 315068744; 446843190; 490017609; 343743367; 105476786; 434737547; 994554761; 125915220; 258844933; 593206606; 992612478; 460559537; 821406314; 120308316; 125228877; 989891967; 763247003; 730689118; 750112393; 269886315; 861612147; 629495284; 995271377; 913623282; 978957667; 380748574; 530486543; 167045933; 937239766; 160580490; 345465742; 740087287; 199648178; 653218537; 72489425; 476356938; 915030851; 369847305; 488603102; 748491983; 668414874; 588278894; 839084007; 313513944; 823900588; 528754019; 465405229; 119394206; 764564499; 781682760; 768038805; 283974265; 919991884; 286246575; 411639386; 718738709; 942980697; 605508594; 829933671; 195292656; 217779951; 859693672; 454573827; 890381626; 358387257; 123208115; 784600970; 242228379; 521302177; 108688846; 257769185; 170722859; 611742154; 454304626; 120429193; 638727409; 712185096; 99864273; 982797992; 39289361; 802458098; 735885733; 138084382; 672038835; 429532229; 755424421; 11925113; 541359535; 3851220; 710612587; 859049326; 226824303; 378084817; 880905535; 512639926; 398079207; 476111746; 465709568; 111165360; 888093349; 203252506; 723749908; 203424701; 825026113; 444412103; 922233310; 560210290; 263342011; 185902702; 374098121; 714403466; 579892033; 926077980; 881590611; 592431918; 535563527; 660205382; 321451635; 650161553; 188291674; 475172216; 432182421; 136427279; 8881214; 33065180; 980582541; 830169402; 897741831; 833919490; 388757005; 209625960; 562298219; 841198286; 387086913; 28416165; 536234169; 936261092; 869795200; 633732255; 583690402; 912909935; 139543276; 295173807; 369212592; 128305827; 496678049; 601911890; 430842764; 192944663; 744982815; 458347151; 299367511; 841537730; 896767969; 590883800; 853102476; 291073748; 38199782; 169877189; 278260782; 6151558; 538848297; 3269711; 778799547; 216863126; 877732019; 40211908; 395565875; 848362778; 943910443; 960162466; 101405102; 355603238; 135225239; 557541527; 904773738; 342712166; 246845344; 699751661; 911194592; 648096980; 202600981; 321991432; 831954226; 405563561; 235136064; 101066582; 925943261; 315656633; 802292044; 755633593; 70336119; 692592701; 508200218; 340826610; 1750178; 287346399; 582669040; 18613000; 603477370; 429182991; 152439405; 548373113; 941685992; 122525121; 311596229; 677929072; 686740419; 551174646; 975646265; 174912871; 332086941; 835188258; 104665797; 923155760; 690799581; 463316525; 760937361; 408402794; 384524154; 238999250; 664811069; 34623069; 99809581; 791750190; 540255705; 831495122; 664024318; 467793965; 687662630; 505195105; 679195454; 712640518; 404407807; 18305707; 408796821; 94745392; 987122058; 359243208; 940404516; 349437398; 700858946; 245834038; 960239156; 804893602; 414277640; 524434576; 937737849; 862822848; 241356490; 448653891; 774625363; 700047766; 858170727; 468696270; 371169750; 812305172; 407078248; 319459080; 14575559; 869916696; 605051064; 458270927; 381614459; 220493295; 669826685; 76699142; 742313538; 578655087; 99348549; 638289611; 424994279; 483573056; 266479939; 311283706; 809813501; 306650477; 651105684; 111914806; 693116795; 906857002; 399146430; 786713284; 58050971; 804773502; 737274400; 334221521; 525382798; 480411780; 64547304; 830430168; 613743921; 810720079; 711016591; 587876780; 227859896; 79903628; 337415814; 766925192; 413953085; 968071044; 940492735; 859606382; 819704046; 12571521; 514887247; 43987415; 279859886; 994722731; 328252401; 976037706; 275183007; 230168557; 828639678; 605959544; 734868936; 388402530; 134605131; 34448834; 907706720; 474480183; 909648787; 296872443; 281198647; 209099299; 150879910; 859487805; 614744388; 951273151; 488629713; 747176645; 708701155; 770402504; 82304468; 272665620; 714995640; 183339898; 167226600; 992408582; 762936226; 656294115; 598872996; 13998339; 6350989; 532873732; 937248614; 778562626; 897640513; 615948966; 792820661; 406858956; 546914080; 588869072; 426952889; 598364892; 191297659; 120704582; 644852405; 708465877; 775149887; 945605391; 506612855; 717259397; 191960151; 415460960; 995152594; 53517496; 635862395; 783703951; 118419086; 333273658; 202619752; 956842788; 828608954; 247594391; 486314327; 935831027; 622762407; 341722913; 626166471; 453606090; 687925155; 509417196; 294712725; 604592055; 421356081; 9058670; 779205232; 392055054; 362551501; 426148834; 860250353; 519977462; 906522317; 930415726; 552084938; 616437629; 576705321; 7496740; 121488452; 161109625; 378495403; 107966941; 269582524; 873652229; 963390414; 360032608; 680211738; 30528034; 975781893; 947178499; 795226803; 723332746; 644660874; 505460180; 974723066; 17769636; 496865400; 88582682; 702819664; 450199753; 52486241; 905400247; 324565347; 897553650; 103472998; 88298964; 55675070; 349775971; 544690673; 731527179; 698848609; 885487562; 265062202; 18901143; 680267630; 598718277; 421330350; 814137289; 263434356; 841012098; 153092659; 667394861; 772141886; 945357666; 951279095; 909371941; 748956611; 6518243; 267842858; 85476437; 328802615; 800045310; 808027768; 771030694; 698097889; 430292786; 19650646; 404998264; 967260041; 712251179; 181992048; 347634203; 816234379; 117822975; 127505309; 747563181; 490934013; 557395675; 211291887; 223154085; 485661142; 711988747; 490386362; 668940330; 114222388; 21711786; 15885505; 498726207; 673204654; 71176026; 542442118; 161717400; 299082634; 995073525; 328189; 92569138; 997852171; 908947914; 813913506; 124349194; 789749376; 769205401; 269562832; 186636431; 426218102; 987439960; 544658443; 479448402; 359333995; 648863668; 239938482; 976105248; 382163585; 656693477; 622243287; 504517466; 190659743; 860406322; 768925516; 511815339; 458942205; 678796225; 416040575; 156452195; 964068510; 842839309; 905514460; 11144761; 432563059; 176911966; 456629418; 532858206; 34590659; 214199089; 147703879; 545256018; 978060125; 65582640; 149467035; 918430291; 379345633; 622068290; 396545312; 977416432; 63842925; 184455097; 204992624; 510279037; 614875420; 428249734; 841258722; 408456495; 647480238; 261208502; 65797812; 14725872; 816263207; 946661533; 542184888; 684113035; 84437586; 894534273; 254331636; 796284355; 672810683; 819989474; 500256200; 459552541; 28567396; 214257117; 525729166; 150776706; 586271576; 790295716; 626619327; 209071485; 489447744; 497595435; 155169688; 445608984; 776099390; 524387058; 852225576; 159753875; 813052077; 402968709; 762130352; 186273743; 174523603; 79216871; 192007964; 225019178; 35652806; 230036032; 948807646; 303228740; 951629767; 536049215; 966846327; 692095613; 340057254; 603574174; 915550365; 825315163; 882691915; 608723687; 367601953; 112038743; 13274181; 831989424; 869841685; 577819159; 259189514; 549749748; 810136887; 729113868; 690884449; 317160218; 823033729; 758518981; 307563808; 309914537; 459685973; 969543661; 663381326; 540739901; 212920707; 561781550; 504426141; 335301075; 955692024; 927550140; 405804021; 434328713; 59782753; 778018240; 984942164; 289451232; 634204391; 832757962; 121992967; 385449186; 344371929; 392184443; 365252327; 236371205; 878550105; 49434950; 261401138; 139863554; 334960475; 663375380; 449522204; 628030918; 640126330; 153095079; 274176702; 17137094; 622718747; 198225209; 896215535; 196291294; 788104982; 360945542; 482199517; 61780664; 804733709; 842723295; 533175212; 193714219; 146606031; 554831158; 740931736; 981235034; 385101037; 324038389; 98081803; 209652112; 524894538; 556906949; 598381091; 365604455; 818344672; 145038560; 659478050; 260009568; 319651343; 954795731; 280146749; 853755722; 219352039; 953565398; 90255264; 393981532; 346642972; 532744470; 310389855; 190245913; 328470773; 424054072; 403575815; 558839948; 334518467; 769231832; 12081507; 997455998; 771087184; 259508275; 868017645; 605782230; 686114316; 59878676; 512238943; 400104445; 321510643; 462025001; 603044277; 328512662; 600729499; 686569708; 81202808; 827955695; 90701616; 168089048; 683429175; 156114411; 604926801; 151662587; 499929537; 493827720; 509738148; 301464705; 501122521; 249712851; 30187108; 710309730; 586920958; 927459710; 401474459; 301164580; 633391583; 257401333; 259356285; 754962158; 892424132; 219763360; 509118939; 750925801; 861610700; 327005274; 381364486; 100711487; 347593386; 662209524; 172152635; 476244143; 322120484; 871870739; 719287612; 868609561; 651082445; 73636870; 255939116; 864788918; 733371060; 477885549; 447515979; 260996223; 132862823; 9583465; 559904138; 842922601; 327726928; 775409066; 354271631; 886723820; 420128334; 213515576; 647417009; 230672650; 454593239; 726203152; 936692197; 416445300; 456949911; 221639320; 685988178; 394522022; 262465314; 685031777; 902499325; 967273575; 719722451; 477426687; 462064336; 240435241; 808718934; 185781824; 832888331; 366910820; 961004930; 86059875; 956313269; 784726490; 953237198; 837845776; 214144929; 701312907; 262779831; 739743531; 892270841; 466574750; 1215306; 768824917; 746555034; 400290052; 559339803; 949538691; 969212821; 778764948; 367796259; 971832334; 318690822; 152208137; 488621157; 198313074; 638012602; 482728992; 803205947; 359705174; 410867432; 228602165; 352547701; 471210182; 908030487; 543127353; 296263554; 970864038; 62671823; 792301093; 70880162; 385321664; 97480719; 55827638; 477772880; 658189900; 120651222; 674288129; 333015276; 738755540; 405660289; 688503710; 639721734; 267102902; 315516912; 355321378; 389200539; 305027369; 787939731; 964381539; 451299247; 617738212; 670213495; 218233848; 832899665; 766846933; 898597988; 88124389; 680213005; 556496917; 451665291; 656825152; 185894453; 32044409; 901205796; 519326973; 960333651; 890480591; 434446711; 257679847; 830873669; 760349119; 603681116; 122837758; 320013743; 534585140; 873829971; 525098623; 505708863; 440206900; 323727428; 527038408; 649288459; 142139231; 290935411; 691579108; 198133237; 160094525; 701840136; 296034162; 563056640; 190092175; 139509085; 540792072; 344486466; 863838282; 600879284; 179593093; 187047607; 26776479; 168378073; 899360405; 828269168; 465261643; 781888369; 931994288; 834939308; 426677928; 647208354; 402244955; 730435532; 959581419; 996373017; 667014808; 657901092; 190731110; 711577958; 232526504; 333247853; 176727046; 10180409; 724262278; 502265987; 329312512; 18124509; 282124519; 630989209; 453709216; 177263908; 413111933; 289384921; 970880912; 182489879; 339211025; 146656008; 959513366; 629064580; 352030355; 414154639; 496749821; 627145848; 223333156; 821016984; 781966258; 261044075; 497500688; 16667341; 824170953; 597569546; 521679983; 400713508; 542701004; 357782139; 465914297; 927778533; 753680607; 257000935; 626393737; 965286183; 920432992; 252504013; 313553372; 107790045; 418907980; 510190789; 891476421; 769614677; 553500633; 199432169; 197001773; 365693610; 457245626; 366300036; 592104168; 130404670; 417948251; 603475688; 752343881; 323385396; 758556261; 220260721; 43169261; 846445454; 217129972; 639523751; 249537432; 842533304; 715835564; 368029558; 966763665; 196600356; 808554525; 630966134; 964575832; 175975053; 198385658; 691905999; 82557518; 650962536; 371470137; 733322132; 212450549; 598348818; 277425049; 625018232; 488610139; 806632339; 112046032; 490099843; 668142910; 8007771; 926932865; 137644597; 927858069; 967603834; 808921704; 447448488; 553292832; 75358558; 863777398; 386448049; 54718169; 18590876; 984857428; 6637357; 849668307; 966842061; 298091282; 405675764; 215956096; 302894366; 373660859; 427050783; 994494367; 123461746; 34863209; 320582400; 228039657; 227350705; 66932536; 927138285; 960435012; 777500193; 841763461; 958742419; 834611620; 597628234; 310277554; 549557507; 286537570; 168324710; 382027750; 480056019; 474276066; 964016314; 662968498; 466477437; 302044787; 385988225; 283093622; 134174236; 901225469; 533357237; 66107851; 932033817; 918427370; 682193199; 303783850; 536505584; 378436218; 884577741; 928760840; 756449245; 868856148; 146924578; 347061919; 43368932; 759003892; 254700498; 525319813; 167652958; 576862186; 568230661; 808175752; 681090647; 517335221; 115744491; 360093158; 195548411; 138863758; 255320134; 140781891; 3355627; 539127692; 477485984; 279642756; 212827439; 32411215; 375957696; 168360979; 827721473; 765078939; 519684530; 594643045; 608411770; 145571995; 624288942; 623497818; 686964868; 865361812; 368261800; 281062241; 676833381; 748659474; 63013760; 888319126; 273041799; 587057113; 890313461; 436125113; 334011451; 976651848; 641666783; 166676911; 68324818; 912419925; 885991185; 179084112; 152067355; 967964379; 665223433; 99675017; 940652080; 857890798; 241337956; 631334966; 554356411; 798617746; 462884304; 810305103; 865743755; 918301077; 459666900; 390159346; 861328577; 156938956; 924210844; 563610348; 675733506; 780882061; 254902242; 351884033; 218470579; 979702960; 918168918; 320142815; 510354946; 569524481; 831895169; 219892530; 955291933; 963487946; 593756316; 751803878; 235933334; 137372912; 701414471; 350178797; 840331820; 292255250; 778437193; 855730466; 949950907; 974426110; 638057666; 682528141; 173960658; 974426050; 130942661; 3680728; 781900206; 791752262; 570788434; 571937500; 576024615; 403075295; 325671507; 190549184; 51834131; 118931851; 777112959; 161141967; 431933896; 742318868; 966554051; 778590512; 595387941; 278276709; 369364210; 374910175; 732931033; 201132020; 816154433; 78344512; 171281219; 451949233; 95938798; 254429112; 495235180; 512190917; 788661771; 834973721; 769191113; 555989504; 634697822; 324023915; 54262728; 308268164; 963956317; 211215494; 965265015; 402168919; 942494763; 878356628; 665355169; 433200613; 593116082; 236650719; 610998783; 898596515; 820072024; 236299123; 32817204; 411369606; 660294239; 735398255; 828308462; 132688742; 860263456; 541041009; 643348793; 814442662; 57362740; 11329437; 926012197; 663274395; 365912189; 533682378; 86778572; 135840991; 804220326; 84048633; 567340831; 192877861; 878162670; 447153359; 869405959; 816583136; 837220686; 181511185; 527501805; 416855095; 802090772; 415264997; 206304779; 782998589; 710677099; 223001194; 821648496; 270480589; 539379758; 488220563; 663598987; 631501906; 255877717; 782518756; 582356745; 885145815; 564724824; 621925157; 981798228; 91670940; 537759214; 197313470; 712428637; 623713602; 95145503; 444888862; 196619380; 325269265; 937493096; 115028125; 690774810; 239349383; 30821591; 409016739; 331354324; 890720411; 165657003; 27230839; 518787189; 159291152; 981547325; 478229440; 438859980; 892943203; 515654505; 963680492; 813241553; 640581525; 300261270; 710772181; 681939296; 420590285; 773339736; 793648975; 708778116; 163098082; 17549131; 858269909; 679839283; 689574744; 41315473; 985524857; 431721804; 643009839; 653751640; 366601259; 852967765; 922073647; 674259799; 761557594; 479497336; 503459487; 774387232; 521490491; 343946280; 144326602; 686613915; 47523945; 873439231; 728096341; 579807018; 324650987; 604209431; 579272279; 658101437; 206619557; 520861690; 665576216; 753652646; 106162474; 972830054; 380650122; 743904305; 595929529; 832318608; 371421576; 921277200; 255115094; 669431855; 509724319; 780262251; 725484202; 383474789; 633449601; 817609842; 640875929; 90479798; 479683021; 309961059; 185939515; 26995084; 123719640; 59608052; 891831668; 18880936; 744592664; 118473497; 778359442; 401075572; 991940936; 310032576; 85186445; 203045131; 10216235; 510378255; 648314933; 22414366; 331306899; 947770658; 566069733; 821178108; 192355461; 278916308; 868222120; 432043350; 927694790; 850676265; 960083044; 877113679; 231687443; 245894775; 161437782; 11446780; 527937160; 489252326; 425075925; 779636025; 449832115; 850345230; 110959884; 45759193; 396290457; 739906746; 387216725; 96740726; 412704644; 613663447; 233554198; 451393215; 333180277; 749381727; 420429054; 804005615; 365635367; 828701495; 897281833; 332289135; 342352660; 924863360; 800029429; 405197566; 852267221; 15553068; 739412884; 759207705; 225942784; 769765320; 352884218; 727240571; 673028344; 836647418; 997907022; 53270279; 615012218; 324285014; 188148567; 39755019; 541480765; 135301229; 296236929; 538053163; 43120328; 887568298; 558802393; 703220411; 14714989; 600393119; 786489169; 385593632; 485970884; 612301041; 762741371; 345742264; 965666631; 689308706; 620567942; 305606042; 970182378; 449966262; 240799549; 890693131; 776850910; 282786544; 837092811; 613365693; 108641867; 501198772; 136167331; 675371821; 414487787; 837312155; 707109856; 57098028; 9117878; 197390236; 42677803; 961767030; 594580270; 268121797; 126723520; 85771910; 341853516; 965550367; 229817214; 417947403; 500697139; 3127973; 992123677; 800478457; 296325601; 518773894; 326517120; 145740299; 459029650; 267194016; 809465484; 261813774; 803872925; 127767352; 913436581; 947878354; 143743839; 842286471; 343116392; 952213924; 338774779; 192237450; 376995044; 750862309; 490022394; 170341363; 904319579; 949974926; 167656208; 645638757; 417204586; 498857434; 906498546; 111267020; 454841716; 887414828; 399669462; 14472622; 433560446; 4800517; 251755819; 957993788; 855591153; 212887191; 150335458; 222265015; 415296976; 561171222; 291313304; 734067320; 304959534; 792179445; 433750803; 505166871; 269487290; 262894618; 722062083; 139053914; 377187456; 411579969; 646970603; 63988099; 873407461; 757701349; 971073433; 370404265; 51898932; 170839042; 820177162; 859478686; 600060624; 88073697; 739885325; 580288788; 501248824; 247700339; 219505966; 176127525; 663257382; 161345183; 576755242; 997958465; 994292983; 40527858; 458203678; 142412968; 874483351; 572490801; 708171165; 480409401; 573943067; 898066525; 940516554; 258849525; 79768068; 653383275; 260585182; 376002286; 612802742; 665570956; 989654522; 824911074; 810038468; 645987213; 62252684; 875075297; 920638117; 803817341; 926587326; 399611854; 378455057; 46132028; 732529522; 305644483; 543588468; 978831166; 396146979; 868783688; 671001188; 593845997; 682412411; 427829909; 643698429; 165816640; 718503498; 704548770; 937509236; 633600719; 938362565; 20962985; 385649936; 820187364; 990047237; 834243732; 831265717; 741746258; 642309471; 639253120; 350268078; 522002454; 731680013; 887979839; 248308010; 498261779; 964439456; 135903059; 904136862; 172702366; 407105093; 124190940; 170891629; 510560155; 940887897; 660722101; 922946116; 928230895; 171193876; 40525908; 900880200; 322980942; 638140230; 965109389; 874455640; 804546654; 461173153; 658915494; 990231425; 552623684; 589927703; 104317791; 837392234; 801606919; 275880666; 896884885; 762720947; 362319725; 509621094; 265427423; 295814863; 470904878; 714843908; 331291711; 119378391; 569770270; 672690372; 854571984; 6930962; 704917879; 501308132; 150619647; 397515277; 926500799; 571360012; 289862974; 340696179; 389260147; 94876185; 972722124; 968801650; 512124642; 974316414; 326990167; 333508455; 171899811; 71722612; 399245390; 257237170; 550216708; 166929968; 659861227; 388873521; 7574921; 817880396; 654219701; 818979811; 970859529; 594887552; 693413423; 383185351; 649108248; 433320235; 67318238; 755626199; 544734524; 902970712; 236756220; 402372078; 144333028; 371301172; 613373423; 892504393; 801666364; 182775731; 119064113; 763555806; 952994622; 798178999; 660123158; 250165799; 585344343; 872499825; 999060507; 423062459; 317882325; 543399080; 59442142; 519706369; 630732065; 742995184; 754971468; 625677186; 316509102; 421355817; 154805335; 651052733; 67636401; 483352400; 498687117; 777681639; 586993828; 113254447; 892925419; 556152862; 890165736; 520703448; 723470494; 502966289; 158973500; 665720295; 324304134; 673096381; 956537903; 850361396; 529352931; 68430996; 76060786; 814053882; 481355148; 884143525; 224951044; 71575982; 406687634; 158209218; 226719703; 691048661; 474018696; 852600965; 532151719; 581367915; 681135648; 409625739; 252464427; 242025498; 440473532; 995215672; 74304806; 652648017; 355491018; 202256371; 796190630; 34513888; 205112298; 884379361; 516820783; 54669368; 937038661; 535744418; 83012962; 243649573; 235547908; 346534450; 841621802; 573781413; 636037209; 410395845; 402071241; 363368652; 856680971; 132186158; 278627411; 121882250; 767962092; 240267525; 602007691; 647082928; 16748044; 773377708; 655518175; 800191948; 210916821; 266303998; 902594749; 536426446; 759124394; 528311637; 950374430; 229060681; 507075345; 394113195; 679179716; 473759977; 204073467; 762006714; 91939445; 282786337; 353467175; 624217837; 435593747; 790162978; 923401492; 240430545; 531845469; 750853653; 792449081; 171708216; 64959730; 440301816; 124966473; 814853072; 601552376; 706270755; 605835611; 69151234; 95449075; 326075238; 508418557; 495003661; 60411780; 944637723; 964802212; 789043752; 351186360; 179203322; 366785206; 151202005; 529457183; 106006515; 369173395; 131754091; 841721451; 705027357; 705610894; 51932186; 906589056; 996806869; 691096145; 855335882; 551578511; 398322750; 538652645; 521800701; 807284618; 9473955; 587426959; 765372820; 316041618; 509010011; 765008154; 637695696; 333506864; 225595067; 996669693; 923414023; 693195988; 437749955; 21223914; 530850116; 563713282; 193670253; 435899585; 117131283; 670997449; 258272182; 329835087; 746735328; 433308169; 547506901; 16507599; 906340384; 433715339; 954583768; 973927563; 223632896; 538169183; 152618538; 233327644; 501790442; 274042557; 738589732; 641856025; 61275691; 359820368; 79881906; 264852298; 866861811; 698393031; 891121882; 375257927; 71603060; 375498828; 674065880; 248667492; 591690644; 987037568; 860867619; 591458687; 75745686; 311555871; 974115710; 284735483; 72289402; 868887207; 334921290; 645731832; 250228829; 258864393; 424041194; 613870378; 608907524; 883559915; 64645989; 35852669; 224715684; 681674326; 497460600; 230633221; 838628204; 559890034; 544845073; 499553112; 407784937; 61516738; 251250268; 851089621; 798379387; 462192239; 211371140; 944817496; 833657135; 923595266; 920237252; 648236942; 888258575; 582578257; 24554175; 71765556; 854572402; 367164957; 780438302; 243338929; 139460243; 882815349; 525178900; 13212357; 62357480; 938576035; 164207670; 938176243; 861339046; 730695535; 122741174; 19199668; 995278601; 116982254; 360967510; 371654701; 804072300; 545377003; 562947735; 453060501; 818791051; 957116304; 386520358; 525223270; 814380764; 167954065; 402506840; 169559538; 287576956; 338543678; 753668107; 640640382; 128110665; 260277174; 625845840; 320070580; 344580130; 30059073; 698790824; 819551520; 476046245; 581502179; 144260516; 199657619; 931999680; 244616813; 692982318; 297691257; 55778874; 515023732; 286819419; 186762386; 426284061; 797835817; 828835999; 61275512; 260220870; 26019778; 193334276; 352876054; 37465669; 128867722; 224095476; 575347488; 120708878; 381987737; 613085063; 93434485; 98806168; 390682050; 20641518; 608602520; 380060713; 911366398; 289159427; 897086030; 273868219; 318976501; 155916481; 683586629; 450950520; 61507971; 442208973; 41896123; 662992686; 68024608; 9146796; 851996758; 982371110; 14351093; 425840877; 45261906; 519502388; 497018167; 208741213; 51582483; 722481391; 263391514; 160126229; 831636947; 178511717; 527956136; 852389889; 231997792; 981179597; 669256815; 901874374; 184997389; 141360946; 797994333; 537387314; 399748672; 995335056; 659323824; 979119413; 769669380; 81636731; 337603155; 837990697; 988464949; 100711904; 939143858; 943682457; 716681431; 972646704; 145893729; 573573411; 292712043; 548356851; 249812066; 861308885; 127288583; 587553940; 420004777; 582832936; 34668385; 496989116; 516319137; 368057363; 806013465; 521333093; 818490427; 157021662; 851633376; 837298065; 607834863; 954878331; 885610307; 913721839; 837303318; 760747588; 59341387; 382289215; 711530673; 406873621; 420813265; 665740550; 677370913; 422326752; 648600304; 233780428; 458690253; 327134172; 459998990; 443077449; 559522983; 884005420; 900499342; 792390682; 928977931; 999640607; 165364968; 346274691; 285425388; 667786913; 83354706; 916637524; 754438708; 756190130; 417057738; 490796456; 643431908; 179746787; 147350850; 588325909; 603595610; 573040056; 774788865; 919310445; 243661083; 791195574; 105948787; 840322859; 614425714; 142496740; 207383251; 134688139; 460713073; 40161181; 160492821; 687252205; 983906764; 604441736; 878866742; 139302410; 590115682; 747586754; 820272123; 292046902; 655449154; 236380682; 958171329; 511186646; 751673063; 129707770; 112959947; 34133681; 403886652; 182755083; 933093911; 523553878; 92341063; 366202319; 446744952; 244216109; 164822363; 229134110; 183955064; 932356814; 288967448; 662286217; 815197887; 705079582; 896458201; 141214707; 673608353; 704373355; 558596024; 342999057; 820802995; 288115374; 324430790; 860700036; 695891226; 426529412; 15074735; 164634624; 587041625; 776225742; 471022279; 745839236; 981995050; 772911100; 6517183; 607111356; 585542854; 812969548; 918468428; 533146941; 603112979; 96618682; 860978800; 875728393; 864903378; 732189925; 63253060; 232473509; 204045808; 944899811; 635869866; 242093459; 482215936; 237373925; 81747981; 845764046; 452006143; 428844609; 974599461; 25210292; 519976777; 883511797; 959066663; 135127754; 44953230; 802206243; 694079055; 775620984; 260411207; 879925733; 930797492; 536490396; 545262951; 153489140; 102675311; 303184317; 49732346; 846830842; 652308367; 445135204; 29173843; 907558186; 266647263; 959801368; 182740900; 598651304; 563665788; 805132695; 396254361; 881957752; 247418345; 123536641; 270170093; 118761487; 641777545; 908889640; 413935293; 649795179; 908301166; 110384506; 983431747; 88646001; 23614606; 356422024; 545478894; 844295063; 787357962; 319705864; 818388187; 775806008; 387502033; 809556221; 823402615; 872740607; 265759102; 984851792; 523598928; 552288213; 761844285; 542165323; 383373802; 90265658; 454803279; 218974847; 947340731; 47595343; 974948758; 808705530; 590189370; 16044126; 803789662; 863080470; 230785862; 725030443; 211172950; 378622358; 75201463; 571299534; 343959417; 12458275; 17461928; 461347535; 96752543; 184087840; 837631442; 922657290; 23914372; 308787395; 817812888; 796988251; 828982230; 788774067; 145922823; 748144796; 31722420; 978153541; 703883730; 201442618; 995441004; 133307168; 29299268; 925468629; 573331215; 194554362; 276237215; 5331475; 137273581; 414117114; 486589381; 549497388; 312915281; 531479198; 894776148; 239933166; 603377714; 405601885; 623728281; 334370212; 47269450; 418762275; 719711934; 346710009; 812891758; 608348112; 107712361; 881223271; 918535620; 376366986; 379989253; 548264522; 656015370; 400019032; 796166579; 477178431; 408333136; 569799737; 779092676; 705285158; 868627191; 56448683; 591095524; 879859368; 690381258; 973877706; 225479496; 697704665; 752637380; 508416197; 301315146; 934404738; 892909462; 300873405; 958968097; 318483217; 158952553; 15657124; 240452923; 795663263; 123537597; 376542338; 990934333; 429535162; 937496806; 658455862; 495991173; 236903023; 182138149; 40611345; 255176346; 268350763; 367637839; 877059128; 447738260; 900919286; 743796030; 336422502; 478383906; 9816114; 350453674; 303130403; 369753971; 500701621; 624363370; 962813474; 931766866; 455626043; 279923726; 90942495; 498308625; 949235931; 861148008; 113271668; 936390947; 959256104; 81152383; 597065423; 713698587; 922937996; 203065046; 816626482; 890732369; 210853719; 809311754; 988856620; 97548080; 505149780; 847145268; 619479021; 963031661; 866122104; 549543562; 956201273; 810867958; 259637664; 162797287; 976602300; 135987752; 385086066; 527908318; 399889432; 428832979; 955342589; 146754868; 913141719; 373545825; 620705621; 998408405; 419657690; 207634565; 417751595; 874822290; 702682289; 551118143; 642648365; 843183184; 45387985; 850288161; 248224341; 887999920; 374169120; 848448480; 515827964; 435283358; 150592661; 426093659; 645533438; 849968471; 145768982; 900174400; 460750274; 288532027; 167301535; 138946216; 606590551; 60801000; 551986166; 441916118; 566033850; 86215233; 6445526; 552309808; 388167880; 755509496; 250371316; 504131602; 777554820; 51575130; 518565300; 256175871; 46924114; 152510771; 49226509; 785781152; 467148285; 923443492; 97601917; 42984097; 193993455; 230744252; 835867326; 160338666; 662374779; 335528122; 773022958; 157397307; 391348650; 682289606; 731179123; 916216292; 9484551; 155076848; 152631717; 290953485; 439559259; 349899713; 548099413; 367194243; 77920839; 436072474; 82264043; 475307504; 570814209; 544018533; 933030607; 889607341; 662432446; 80929264; 816073035; 274529858; 521776000; 600819459; 991951287; 539739627; 239228828; 574429987; 357592554; 885757690; 149365611; 174880517; 787834086; 536418053; 737965665; 791477844; 971155716; 771594531; 240711157; 729172316; 497019047; 989407143; 971282585; 510567662; 628182580; 142003534; 215032880; 434638202; 446845940; 31138963; 603873675; 66146380; 95499896; 744572773; 721534263; 308323933; 662972527; 136269107; 388783054; 104569918; 839524051; 907653243; 600020884; 862541721; 590599358; 91511545; 405913024; 396061738; 66168487; 596223699; 554678424; 458611316; 362403682; 850265886; 467663210; 694535840; 62207080; 375384240; 804693898; 770211511; 911608875; 243961456; 78410278; 358778223; 225509058; 650314367; 880852567; 867724692; 604381471; 610352103; 261731435; 608079215; 893562093; 37565996; 563510910; 939837714; 988315062; 78005146; 677503721; 29719927; 214570148; 484475619; 936714362; 51338661; 624569961; 367826594; 181125765; 505918631; 806158105; 642017093; 744104480; 269775488; 860172452; 80842168; 233255196; 350548024; 492010950; 939676579; 64458685; 956858495; 484766956; 397939091; 192748820; 395312532; 21197199; 128161443; 730581329; 952150375; 201670853; 83308639; 196634839; 375919963; 800707170; 781780257; 823343747; 522904943; 424913835; 59344486; 917959064; 667608688; 966242876; 236382204; 410320911; 499503331; 956957206; 646126345; 724174493; 729864778; 520498316; 496658578; 792248697; 854884956; 528833893; 410515730; 75601560; 101892351; 461851802; 444409508; 223914693; 608818727; 735190743; 691144323; 909650044; 226554431; 155578086; 820990307; 732816182; 574751190; 203815486; 296860145; 262626466; 176659134; 929414341; 504895267; 529864002; 220186464; 521409615; 724796178; 86600674; 496316163; 840817344; 7501278; 837669075; 985167443; 164575470; 72101795; 83829206; 469843777; 672060839; 93050435; 832905072; 618941095; 691756125; 431431003; 973262256; 689859886; 127951482; 472532793; 961145326; 217595911; 428196914; 560021241; 858514033; 824943010; 904045119; 402392115; 647892804; 168616521; 414407257; 641198895; 516120939; 508782054; 38169324; 2282850; 18586565; 405918365; 249762990; 690109167; 212979142; 430455415; 730401489; 264720777; 961702435; 62493118; 653544339; 857486652; 45021247; 415968930; 966602309; 304563776; 832671808; 969970729; 248597259; 62274505; 802965310; 535440916; 767251575; 898576137; 875976288; 789486196; 699868753; 201391171; 72211437; 447081022; 837938631; 915315130; 615579428; 284761557; 667743056; 617911618; 121322331; 627789796; 378607091; 78819566; 860651293; 607609515; 76717090; 843949774; 382179113; 123256883; 806808661; 176765770; 268268285; 824219900; 28539558; 423039125; 826948376; 250588129; 250800611; 839614253; 172466989; 622890385; 432201480; 208443434; 976813821; 874521396; 431939454; 138807788; 116917263; 71465593; 927177425; 598897172; 1709462; 134111862; 492411615; 722524731; 591799471; 649089409; 70196528; 392992952; 566093712; 282599348; 270431385; 799168849; 70338882; 283747375; 756431565; 794008162; 196641128; 974796693; 526808165; 872767742; 335392724; 749386486; 489152078; 429493777; 865348061; 164614889; 163236818; 269580463; 702864204; 663365614; 79374258; 152018394; 885441872; 961657917; 392380888; 228938363; 109646974; 537854819; 249756152; 117340232; 592622604; 143236157; 396813664; 911803591; 619966231; 544925703; 406459285; 456503416; 97640851; 552376968; 515108972; 72531436; 894101302; 711785260; 346785716; 667692416; 895274495; 967714982; 913452629; 351293404; 568595338; 14245729; 605525224; 817301017; 223724282; 668494018; 373068946; 512943399; 881558684; 200108455; 828728729; 808671015; 538249867; 377302086; 90579142; 75849605; 697831390; 27084027; 207824870; 804450427; 278703640; 643267166; 375300705; 224857742; 198506987; 214682551; 48761807; 745862469; 402239956; 687334659; 575950247; 730101920; 579515959; 981182131; 338638716; 560856917; 46633298; 10690791; 165875041; 45796935; 971972506; 45065100; 87578479; 663374284; 163681429; 682357081; 481248704; 930273256; 181957240; 788300574; 223070017; 847216328; 107635730; 685727707; 151178505; 507049609; 383889963; 40023228; 996816032; 509741872; 14115847; 723062844; 264100379; 296588253; 68980736; 15385712; 90981557; 25143707; 413701365; 531244170; 586090424; 346268998; 611388522; 81095689; 343569350; 548336024; 557962984; 333296082; 507110664; 64774327; 159075420; 28321383; 782344507; 203688878; 58371119; 564110362; 900451899; 426557314; 19822369; 167748377; 987732437; 575764410; 406318239; 653294409; 665955118; 554522684; 159348447; 837380891; 171201590; 247364582; 641383340; 304813270; 75118424; 214577476; 619924602; 360076570; 359846465; 121606488; 444735646; 926309417; 745335195; 323960439; 361198042; 991925323; 556958627; 242915238; 31596263; 838311174; 950154603; 494863222; 207590688; 296701470; 959392941; 275981651; 102534808; 838179576; 251383703; 602245989; 458464376; 714183929; 855809354; 131367815; 30998289; 96736427; 251535086; 300787687; 562815254; 229074777; 505730937; 782759665; 928535749; 865539925; 335441926; 266981344; 397520538; 63031943; 889784797; 64863952; 970981522; 498160722; 951945431; 78521889; 530551612; 197490965; 885295; 459403591; 774776292; 695271799; 964868216; 617474258; 788132154; 594019538; 779960764; 640033534; 839126142; 329602732; 599146784; 100001430; 374024420; 666350935; 443308813; 375842942; 831730331; 962112046; 732410117; 166771301; 522999415; 381587655; 428996210; 713271658; 481031579; 451831695; 566570241; 332122325; 89932323; 462068757; 333523170; 176680743; 215264392; 873508203; 523245504; 621309678; 391191762; 459323496; 633106831; 25104680; 930558052; 87886622; 251630726; 945848058; 832710854; 75021570; 588492176; 910864480; 489651731; 872239799; 393134255; 73851295; 483278459; 623412685; 665970618; 906172616; 618340723; 959644371; 349028573; 454240721; 700924056; 630565112; 970768050; 396645088; 850710448; 174351519; 22501931; 572141979; 458440688; 890213751; 867634900; 508113257; 994571096; 631377261; 693091753; 519527198; 322544272; 927659660; 476743132; 379583920; 459462450; 177492298; 558976360; 994107857; 489224340; 150829351; 53527762; 637520943; 944076542; 308012624; 205693031; 354348429; 615139999; 406830855; 69620400; 159478446; 240172044; 766125364; 280003971; 904063705; 757968916; 325223380; 33270092; 667178987; 777484406; 140240865; 403617518; 467020657; 424230387; 608839231; 9999534; 966505850; 667035798; 812879882; 140122602; 727218504; 275826576; 91930415; 659644388; 222387613; 104649326; 633683778; 250055314; 92082319; 680397896; 225830032; 610976207; 862263613; 249349791; 192870435; 744740398; 296808190; 190019030; 391478679; 629189499; 297663965; 619248346; 340278600; 689370749; 806864057; 766408980; 47653494; 745385445; 462080799; 681332164; 713754247; 456837407; 368629709; 115270735; 502383869; 408010657; 461299316; 144410168; 414177529; 227499952; 825537471; 182489226; 38652724; 182129796; 571753330; 71322038; 260543706; 802113946; 363166673; 879557250; 736852393; 287759177; 876136245; 112206346; 175624476; 438349878; 238300653; 546370687; 281679260; 433318855; 514496110; 74260745; 371732741; 921536200; 501400003; 882234981; 238065963; 893916423; 644331215; 893843204; 207216870; 31390715; 459894111; 715880228; 401021161; 296067737; 653142445; 746432399; 497767389; 583953400; 915869743; 166993547; 59527503; 973031978; 668905713; 373235937; 960521336; 345548837; 82896564; 620000234; 798158927; 199586094; 784528988; 143253903; 344391963; 438733875; 705023834; 492217490; 273424259; 67979183; 721041820; 488779193; 476024373; 256420469; 393086715; 975785022; 844765083; 712069481; 371384848; 885012191; 326603804; 631719382; 122276312; 23676002; 449615410; 943241127; 783595435; 264155424; 752199756; 929779718; 793646891; 898145153; 378126969; 174052281; 967599680; 499306095; 724592272; 593255613; 47588133; 290378367; 80872648; 976400915; 409852479; 67992532; 179375748; 930906108; 704934140; 905770088; 82809776; 993812612; 69438726; 59721079; 898729108; 790201280; 228307218; 238076460; 576205268; 8394152; 50735319; 724979183; 813597847; 39021255; 255269817; 387015767; 502177797; 522877337; 822060945; 435773160; 677063779; 88761571; 698027986; 205937150; 58578813; 960293741; 224694252; 481375727; 822694588; 846431930; 691398141; 385445692; 290628381; 217417572; 400317471; 204987283; 197123434; 369504332; 713151480; 982392520; 174184598; 357800646; 713830313; 488345111; 536724899; 406111670; 799973966; 810700746; 274304459; 631559971; 146226204; 690883732; 244410549; 65277055; 969225359; 206011929; 147662570; 268262442; 346959438; 193756626; 550527814; 822849115; 554987594; 75060627; 775701799; 797075437; 232648646; 437377424; 520099277; 477666854; 839197092; 34802194; 860681417; 454945322; 362632720; 91482570; 1346922; 230788303; 962708553; 94826266; 178768561; 363537655; 998534124; 584344726; 535135863; 670328769; 109504196; 549790291; 841969102; 238469495; 362039526; 780348620; 890266470; 501505057; 965195944; 752198845; 180614411; 574975433; 746075606; 838581197; 661428653; 364046394; 538756117; 210331601; 755004784; 321270807; 384127763; 736887061; 88242547; 192784353; 430027013; 980545983; 368942660; 98004844; 451059443; 443214260; 324764340; 554954027; 800031013; 272353360; 583846982; 905706919; 30602417; 283464928; 753764772; 746138474; 2191642; 67545728; 848236481; 503884392; 491252659; 498786394; 789596057; 628477469; 163471314; 442873264; 307597734; 70001787; 644028896; 730818008; 950990853; 171129838; 482480395; 874755720; 466720297; 509692500; 836339382; 191861692; 77020410; 546115169; 80315951; 965807248; 884973698; 203167631; 796663249; 443378538; 187486233; 387990852; 595792361; 208850689; 444559175; 958699608; 754269044; 732852513; 973232506; 860290736; 671221142; 989265016; 878355562; 827162688; 340117897; 197360870; 618095799; 935776650; 155095604; 203001100; 183878588; 315034924; 964959547; 480245096; 604293435; 806387861; 680113527; 947373600; 277446092; 459596193; 992782556; 699619610; 922289465; 500660938; 886288531; 395470365; 944864205; 693382212; 367397318; 562985924; 629255011; 985303952; 940575301; 113364924; 546787969; 368299777; 406945092; 62718219; 14406436; 815741220; 61695158; 504669574; 786138553; 1505647; 588767777; 536290328; 203271294; 407160654; 388306208; 292458743; 364239542; 484315709; 926551691; 544939608; 58680798; 993187662; 27953206; 570945027; 598558536; 972392653; 295803400; 616576074; 220310493; 517732420; 937507723; 934923397; 764150042; 155552516; 489106806; 617535652; 504792994; 78663147; 132087223; 298743721; 908587608; 414771720; 556425128; 225995156; 796280433; 372261163; 494231249; 750619426; 705109896; 206269958; 839427919; 468672105; 206815370; 401090131; 367808305; 425509903; 923355222; 882653487; 179006901; 114165356; 712647393; 145883642; 319219949; 815931664; 902434750; 656683808; 495914505; 87688213; 948455723; 25679996; 232498264; 375699054; 793266369; 154606436; 49882529; 36510228; 108603841; 415908849; 840200131; 781839055; 704231617; 584065484; 155350489; 712825211; 913807777; 180279795; 207314886; 171920059; 45234788; 863285305; 306850155; 304842231; 693330369; 949055238; 399411886; 95996480; 706996079; 135642416; 592804435; 865112755; 890810142; 201049674; 374814494; 852909287; 749306341; 165279858; 808442665; 216373937; 220285267; 834053723; 163550978; 128628181; 938528097; 783198353; 357737992; 238206282; 182328752; 406477500; 517044214; 426846433; 16451593; 805641889; 866456194; 746755280; 246515645; 591142466; 637924147; 883621225; 19431642; 33304927; 179272394; 327130490; 894617730; 435187300; 966004828; 347019991; 150889733; 642312383; 494389161; 656371015; 70736358; 624825524; 333112664; 368305759; 414803359; 338114362; 717715470; 770372213; 347242697; 78539843; 990647601; 912791511; 331908920; 436141351; 870505515; 997020248; 738693718; 893152670; 962811096; 479666663; 593356483; 317868521; 604756552; 2295575; 41260452; 2065586; 866156248; 296479400; 618001689; 96658089; 929014072; 50353254; 960801390; 941542331; 356679540; 281066668; 531919265; 953791268; 504329724; 581815735; 371145517; 70379160; 280547074; 330575865; 745595141; 406849654; 759820175; 514496312; 825134750; 716279675; 811200868; 925096076; 746674441; 72766959; 920637776; 713982243; 100516965; 149019013; 639887879; 332345688; 258462146; 329339283; 448883052; 922781796; 786254291; 633497995; 950502191; 716798912; 573286347; 167515566; 191525657; 579828663; 842977034; 813008275; 849590517; 890029518; 422918743; 518019748; 876193272; 152299389; 814164966; 410192763; 108877312; 649183551; 155663332; 894205730; 846869777; 808999950; 548438102; 509958761; 484971684; 756304798; 313567992; 821134224; 992770039; 589815962; 468269185; 936397192; 42317305; 106009334; 192085320; 995086078; 269727360; 556512894; 999654650; 623696287; 131027908; 659367209; 492772098; 905798345; 56498260; 780504871; 174171173; 410468795; 404922700; 247293540; 300453819; 86771761; 241595061; 456803544; 908913161; 820962136; 818275509; 940242413; 195556255; 596920206; 290841155; 720928842; 962650351; 851120282; 747365180; 185482393; 341983456; 957165310; 182550305; 731238740; 90238917; 896413833; 459819550; 62008988; 394590462; 914973632; 654541539; 923567249; 128358872; 373740636; 265275454; 384030265; 181884370; 975870815; 664041056; 588276999; 231768290; 107343489; 473362139; 584359827; 864059150; 586456121; 660010961; 589952053; 90000949; 830707668; 52242640; 514408887; 802800368; 975665519; 733411069; 411023843; 150701883; 506867504; 233252214; 100543516; 699562278; 450334811; 474520512; 50414467; 152313370; 358058332; 576493941; 253785507; 645675377; 390847978; 360127208; 71701887; 506790941; 543944044; 373291593; 249016077; 548016718; 389787349; 863366560; 979715452; 849053431; 569109266; 899288899; 420529827; 225933546; 806681591; 711736545; 25284592; 591401132; 101182231; 242572311; 78668254; 694486023; 15386430; 574162294; 757340990; 502709116; 413448135; 448798493; 684933578; 897001011; 859244494; 855875113; 616624432; 480500027; 722811689; 876760576; 363217706; 297172723; 847547283; 248044217; 662313666; 858437893; 387371874; 921875135; 692152414; 874764355; 332573180; 451541474; 669732071; 512225185; 375471257; 936461671; 245997035; 199386951; 752318471; 689198019; 821418668; 766269485; 702534832; 733892321; 937537632; 202104191; 972415937; 974327455; 114146315; 659985501; 281339937; 24359203; 704270742; 398030948; 587759051; 458902853; 356199809; 856478849; 523252160; 220406070; 30365815; 567011699; 850472260; 825073435; 339214730; 583536753; 608806562; 594522500; 933528551; 303172092; 189520814; 814054381; 113387436; 210557480; 779263304; 811639170; 339573645; 331105385; 215218344; 679269381; 478353651; 350528157; 278106535; 507490191; 654326957; 343661653; 241930813; 727714139; 946088077; 794034958; 208707594; 602524511; 476419465; 956242291; 915356158; 887223299; 625445507; 569325623; 580242928; 838149458; 567403944; 904006067; 998985567; 684076456; 727913110; 715085526; 112725420; 482427640; 788897704; 969997923; 278065723; 506021059; 38298957; 496113172; 503777158; 997106999; 464128506; 571314827; 126911763; 475763612; 477759673; 737383355; 818641277; 727223930; 165430750; 137948166; 945317198; 354976160; 133375289; 590700590; 782199799; 169494189; 299575739; 951584377; 364982626; 444309544; 160243111; 456789725; 607930218; 225813748; 157773042; 76703494; 253989042; 736351242; 472007927; 442568329; 600563762; 92512244; 750184612; 851256613; 236864583; 271108420; 447281723; 62925963; 158503424; 491292144; 652857420; 279166726; 891017777; 373343801; 108209094; 734119784; 498003584; 892727251; 72506095; 488927670; 7450717; 506825671; 769350627; 162867061; 506181949; 42822397; 531232870; 765410567; 834935492; 297179229; 934792014; 706054342; 794823780; 84978239; 466899742; 993206581; 698004665; 330459783; 851702784; 95164086; 729101474; 801088659; 504423255; 826161712; 275217587; 97551799; 326740501; 333400229; 248217849; 883318318; 5523328; 419177756; 701911667; 822492098; 324613462; 269270190; 495917377; 136806735; 324222161; 295036684; 522843008; 554185532; 163757284; 134964034; 650972125; 668935378; 655882972; 886041692; 673874056; 386776814; 573941503; 25212222; 422331882; 561413515; 951170085; 224115479; 400072905; 194092773; 596921003; 427611729; 515891008; 498974187; 641612685; 157798273; 930114736; 456694074; 298959773; 743308512; 960247939; 133889093; 196134433; 469952609; 543586914; 495069289; 671781924; 446144350; 7140390; 378204170; 147234912; 3291195; 630273017; 829558408; 205668991; 546357810; 341337177; 874969086; 112654721; 531077799; 542684757; 40214345; 639659725; 739409073; 746313359; 8350195; 827020479; 778676063; 403495582; 197375135; 11786664; 941112542; 450008277; 774925048; 188271075; 821885984; 885784316; 743637794; 660905401; 971354369; 287100135; 604637885; 296412734; 521220971; 402828864; 51472792; 141426236; 19613888; 806539194; 736039840; 731564273; 143618918; 737354059; 236491340; 77263520; 616776772; 176546391; 381956369; 152912501; 262594699; 412179951; 897316581; 598328556; 20990523; 200501225; 396829036; 486150070; 237770707; 97376287; 679622056; 307680806; 792633934; 128585358; 257905839; 32307251; 581199715; 221515029; 784885275; 714876395; 945925756; 903250776; 317830733; 392940838; 963765795; 487003281; 75746729; 759494684; 822119460; 632128897; 946501222; 210437508; 211574125; 307487911; 91374330; 347093493; 300869199; 629918265; 863398506; 691727507; 556097321; 911245289; 558657907; 831742211; 6197548; 928754438; 394757287; 192939002; 54011045; 462322708; 141826995; 253602635; 676714601; 300398342; 42660931; 314048528; 924880066; 671947283; 365257727; 246002610; 856836338; 601401807; 81046531; 902273265; 580489470; 439173088; 713176159; 544965871; 583974630; 906840000; 334023962; 993048428; 227500428; 82890007; 357271232; 559050200; 500847662; 382909240; 41555471; 482606795; 392867781; 968094403; 614888831; 667021159; 834537318; 475406475; 535130731; 76173234; 897459893; 820027663; 745923862; 197222401; 656373933; 944473418; 682892270; 861330419; 330917468; 805107152; 529516787; 842157965; 758540540; 899195004; 192866260; 298251198; 911024998; 281642491; 366305018; 93321393; 933652497; 187369244; 994763065; 974563094; 286465012; 6876626; 123240400; 899041496; 891524093; 587219766; 510648609; 886400812; 717605711; 832639454; 456586840; 890305724; 374322663; 476948864; 714521798; 806081834; 154913863; 184507204; 565017645; 359360942; 226227207; 943805354; 879713891; 28300463; 844046586; 706503012; 15031623; 602891221; 449994011; 429292701; 899847770; 909535767; 865536546; 622078150; 66601641; 567722822; 828035432; 935175598; 935782124; 325407749; 463188457; 353894608; 749505837; 158440462; 702923608; 420501860; 989087570; 503460816; 271912181; 921980537; 87500768; 227684280; 351077163; 128327765; 836013349; 82461624; 295456421; 386637263; 600156233; 502322651; 645144639; 332803155; 139250169; 724016152; 740528942; 216488748; 298324999; 69466573; 838604549; 119698605; 835581445; 559518287; 77580012; 109155046; 609068539; 679255046; 782439433; 16960034; 914500321; 188266170; 959524768; 375096550; 3094361; 818577996; 88376119; 295387788; 937771268; 241726717; 19483933; 801713227; 38845511; 909129618; 320998733; 947880729; 274312683; 583042620; 327502151; 392250695; 938063247; 433806210; 320013106; 247561395; 304723446; 611800364; 577060365; 518782308; 952367951; 819385379; 203754331; 711291907; 290605789; 749869057; 733529888; 633003904; 594843571; 192144646; 342115005; 412233315; 924583709; 97759251; 432096176; 406625474; 60904078; 950288812; 720563991; 986529732; 27726928; 826628963; 330110044; 680618414; 750432866; 704987127; 349851229; 957446793; 994106082; 964714593; 339325676; 568810410; 185071587; 902279601; 913974357; 494139547; 446348148; 709195114; 953091402; 56379663; 367959861; 281772441; 175196907; 193158275; 591846189; 893584006; 900705808; 703748452; 924796691; 955182610; 886452586; 65435036; 635566900; 28855687; 443491459; 690061446; 556798193; 9778386; 460625734; 646822056; 716713751; 730066421; 477579974; 146209395; 847190339; 176173546; 40613475; 50420939; 551346875; 271525429; 643454834; 986743868; 370646383; 665033659; 924577549; 546684285; 938981083; 624381953; 527738628; 542018238; 2038188; 145725045; 237290896; 997676911; 450178420; 912688277; 118435639; 11486528; 705900202; 202431677; 192518381; 671602045; 524597190; 472156307; 798191456; 191013884; 934641081; 489337562; 383463593; 768395147; 229903967; 631270075; 540498309; 16900237; 929809699; 373270149; 248241931; 748287763; 377585869; 171386530; 720126208; 398399552; 746424329; 780422708; 263989991; 144150331; 345958011; 184078779; 849716529; 276430122; 605908393; 326539204; 130170106; 563687452; 588859714; 674283665; 773268553; 140985367; 442740209; 932840764; 803692213; 776248623; 102992327; 419190881; 323989045; 553359913; 451617740; 599999359; 949584992; 352146874; 8417860; 650074816; 636395179; 768103782; 682960839; 553435832; 98017018; 806524428; 153285580; 876112460; 709111592; 603725337; 82707016; 864503674; 532395304; 763740367; 320428443; 379729145; 206378202; 680903181; 310883041; 445254189; 126149027; 273461883; 790776573; 376515829; 490534546; 318491172; 588756105; 312761075; 842506060; 139182834; 951966515; 79500949; 316087467; 752278281; 351106473; 348364212; 649911847; 858572035; 849559195; 766230357; 961896111; 988444396; 300011676; 612853334; 455255122; 140179071; 619331365; 954812054; 800697415; 514517471; 699778998; 758837919; 55278400; 516027398; 350535328; 781676228; 478056366; 349769427; 915507737; 376695263; 736494145; 149726433; 410799331; 311719233; 336582226; 464149486; 521637541; 192169181; 442290372; 652236634; 479169732; 155712251; 721111414; 680393351; 420535896; 798964537; 514829309; 988764062; 666186499; 853508305; 280825326; 656624234; 907253455; 430487118; 326331827; 545746561; 827210170; 373350456; 880494766; 936340106; 709879081; 671019740; 615892470; 443164028; 123400371; 326315738; 95200497; 627134840; 991822544; 437718122; 592920007; 904605167; 905083519; 726598280; 597140825; 42194731; 232502620; 230014486; 395654696; 673026577; 34860748; 8399639; 487126339; 602543803; 183266410; 486233582; 622113033; 226354871; 513926678; 57608157; 838319130; 70955021; 858358992; 905682627; 353579736; 735788126; 273412180; 793891862; 724650768; 237352722; 220878161; 286383119; 873889021; 448770918; 571576457; 457064700; 808457106; 917436360; 98816323; 6170200; 728387901; 363854644; 252591279; 274048961; 7956286; 637650320; 256711099; 945972172; 579818106; 78260003; 827183598; 478105170; 515727903; 782298425; 683020935; 286579514; 456793959; 241673300; 940919299; 151633926; 479483506; 783637880; 744563278; 194826046; 681909654; 39401860; 871867480; 657387639; 352880111; 58648378; 558020170; 617722759; 318251790; 170015800; 162945446; 572250893; 609284472; 479951416; 334825495; 697419076; 222518413; 396625552; 215892174; 435841502; 979726838; 498656066; 50438781; 402675120; 904655923; 954618407; 995106918; 976073668; 274170531; 452417665; 494657303; 48000351; 623413256; 489764874; 705184329; 54333014; 147217316; 380916964; 982762341; 347752784; 840431395; 512502012; 827240979; 827374545; 988905570; 6691096; 505607621; 851226644; 941414337; 139757636; 189794485; 636226035; 544814232; 838057823; 246615043; 857037689; 429695095; 563521819; 700350061; 314791528; 759275308; 106136809; 863215350; 890722174; 513201198; 169588058; 18407361; 244698626; 849811136; 523102482; 988046602; 937782887; 198214237; 614732875; 630068637; 776909733; 423614087; 954107868; 971491122; 626364901; 782341807; 205066338; 211662798; 79759682; 771776143; 296281276; 54867662; 182304810; 456507748; 875738804; 38934346; 513924246; 67624364; 441174614; 592597203; 887963047; 671412907; 81132428; 371466099; 369507194; 791536706; 405337304; 86703244; 176293055; 999075953; 745554972; 204186361; 893201172; 902183545; 232118291; 783284181; 583351046; 462807027; 880136338; 397240388; 429481088; 935167180; 94816457; 835991466; 140864722; 480726275; 578198429; 856901163; 610851517; 525053793; 56521769; 819030192; 953111395; 380870582; 979283515; 451835306; 177019966; 106203176; 40984474; 458810736; 35062861; 94798699; 410892526; 757973576; 760225808; 144301397; 438487129; 458087910; 617841306; 53862063; 881474555; 648725032; 625850869; 106846793; 59103321; 130287170; 55858190; 106256979; 467609062; 733529465; 921660093; 42651837; 287224135; 331009045; 739351487; 59263952; 997062136; 25975033; 185527666; 792017077; 891541964; 20833729; 813291921; 652900308; 212233283; 154043146; 364259532; 839047024; 470259066; 944742692; 41438365; 431113069; 571174040; 442001780; 573198268; 878497441; 132693610; 902642512; 23692264; 852735461; 643391819; 665958762; 221963136; 749511817; 579518106; 5509355; 630358796; 910782109; 113100991; 192061930; 597184570; 716798456; 574838673; 76997997; 479259004; 234621367; 931318381; 608674963; 29866866; 975279414; 502991113; 434655698; 407023589; 411870282; 624474665; 274221751; 99950408; 262106537; 716845021; 337077676; 609345062; 519122507; 304289114; 719951465; 176110; 954987274; 815425092; 71039173; 710080504; 81802667; 591535768; 229776424; 753255660; 366725518; 165047097; 551944877; 80392950; 640999654; 841446938; 272892163; 438868922; 559793645; 171495704; 60344413; 243984976; 764656231; 158874348; 895875300; 270565635; 304699972; 354588864; 184701914; 893713292; 933071872; 45850169; 525883529; 689305900; 242554507; 57949580; 323918702; 101033909; 627515772; 406634322; 136135600; 527436270; 112688027; 171304360; 393831291; 586183317; 275121519; 263520185; 137794446; 28125746; 620367348; 504148197; 538271959; 175747565; 185043089; 986833262; 312234376; 319599038; 734318940; 351400556; 216417579; 990681532; 112333277; 41996147; 774213456; 300932224; 453811385; 266081497; 61674859; 585868369; 171763549; 673828718; 473270348; 702710701; 637874468; 464683132; 582244949; 806149756; 764639168; 513696848; 338291917; 456000069; 627643430; 298904242; 251893994; 293059545; 954290084; 295451152; 760257821; 72194535; 771892440; 100458621; 168583877; 843097152; 759290206; 725400684; 566933715; 967502404; 176293142; 994525645; 325106871; 783667701; 924375833; 483334099; 290840983; 442401896; 404387225; 470441542; 781870448; 699909558; 856628449; 138270830; 15404944; 265728940; 544184140; 233968399; 444536340; 993221223; 451426594; 503397701; 360556046; 323610031; 298766218; 964482359; 63537228; 869661946; 558806744; 818817797; 915391262; 482475944; 503546583; 390943121; 633746812; 279591874; 924859066; 208413322; 879899082; 317222003; 513817540; 606889261; 799186780; 730547604; 322327396; 431469975; 793382208; 173561212; 786905107; 380400206; 373707612; 880782649; 963531696; 667116659; 190112770; 993269622; 964146561; 767628943; 804378147; 599274498; 303043090; 963770167; 699452920; 407487594; 524024414; 121796924; 209262746; 754647745; 669101433; 579471; 513069676; 737185823; 418631796; 695520704; 234254946; 773037087; 559865799; 481101916; 342912787; 283825443; 562977445; 340069583; 155078035; 980182810; 488659457; 202466600; 803091352; 936976299; 297769593; 949965738; 957792076; 298368043; 711194837; 597086919; 95857692; 664946225; 271093470; 34373913; 328645400; 563232451; 548159833; 370578326; 341724629; 970549012; 591472013; 847365157; 114268571; 722927905; 502447327; 255313162; 385122142; 927473524; 979135073; 591906203; 39050727; 510464489; 614585705; 622637922; 420776640; 509461937; 161789328; 792251179; 776709370; 567866941; 785129893; 490536534; 921640074; 900064689; 134379550; 564983414; 178914109; 114331868; 994623611; 898404498; 561919861; 576618887; 627898067; 580860331; 20603532; 769682024; 199635178; 575226037; 279515065; 803439446; 424828341; 261990628; 23433182; 733710688; 139333207; 767734981; 433105596; 660640752; 278130782; 109192457; 839583446; 447875256; 998085433; 846337512; 117751281; 617136025; 723718152; 419778792; 955213217; 619319990; 44924395; 816057871; 743856842; 984688650; 417707366; 535204575; 932319570; 499027506; 757931450; 405807634; 198275254; 980132060; 396039667; 773943660; 926781176; 402287440; 629006096; 538452985; 404137215; 136426050; 741093962; 753989209; 257877342; 572462575; 540950406; 344324171; 70391687; 778181364; 955321310; 587315315; 701178046; 840234656; 225094713; 308147716; 838792576; 577487562; 428502981; 653074512; 590610055; 22598444; 21969844; 242033708; 200611577; 913875283; 21876486; 864542873; 466860493; 25129619; 25861233; 497900922; 348987843; 146526320; 542646176; 435079770; 372207157; 417808697; 177347109; 664264967; 731449192; 270112119; 619416470; 501592599; 945285293; 775436697; 64684103; 881390905; 891804122; 292170167; 118540739; 809761542; 342847561; 45686286; 17746520; 222267418; 530720762; 79757126; 253665319; 52359476; 973757830; 343395681; 349734517; 779132365; 633288479; 428790068; 735405769; 936327; 233381154; 235513417; 230466169; 729889208; 642147090; 264047853; 357577935; 396460793; 17007473; 905811528; 651024950; 770437648; 31356370; 949893395; 452004702; 607769622; 253388505; 928791893; 483206806; 15949365; 70764511; 337582256; 799890148; 50790079; 800223418; 421005375; 833478899; 602288424; 994690921; 844945588; 727969738; 58278989; 478667095; 377425093; 219545894; 432428602; 999338857; 678478121; 179889098; 623037361; 575912807; 90750292; 523987250; 774673273; 2931546; 399612618; 797302772; 8047395; 421356798; 196796557; 825496749; 591440418; 577121907; 618773777; 363632593; 213617612; 853018562; 180469239; 961617719; 310023263; 742673092; 655797100; 861038177; 797995633; 465619274; 854917557; 123935363; 443643673; 394051857; 90279500; 490194570; 83428862; 430037524; 610041888; 311163423; 520620262; 169446134; 808117550; 632459432; 381251382; 346320498; 161215196; 704184307; 688824397; 514266523; 66767622; 586999323; 306657051; 753063585; 74564118; 993075793; 872789450; 906304100; 218396656; 577982969; 610374013; 702670844; 256984048; 872185032; 208700944; 565405050; 209770397; 111430212; 145382655; 141132443; 952829628; 915578955; 875330929; 674809968; 891091669; 467382882; 402830535; 105814930; 381274054; 84882080; 555155219; 71716099; 81058288; 113633678; 429414773; 643478179; 282900296; 180887696; 101813286; 582886359; 926302011; 127830490; 974561999; 678979957; 675810563; 375230659; 251575431; 800128462; 589823166; 573359566; 708197522; 912006365; 251823052; 490901285; 813346737; 487054442; 588098708; 160981422; 590826962; 167504460; 136972197; 824608063; 475195129; 889909517; 110895714; 160321121; 552603184; 920553189; 125616; 137676272; 396242954; 130709706; 531011987; 114316378; 577851397; 885029833; 108135122; 152740409; 739150447; 100715168; 411667132; 402176397; 703079243; 545106065; 978705614; 126221092; 650389554; 313746178; 264361702; 412538332; 34271410; 820810110; 797295926; 180883545; 703461511; 539699710; 458898889; 15423689; 394876600; 756894171; 204056690; 692078708; 42292733; 25739014; 131211609; 674999466; 75862537; 503311196; 357686483; 760240237; 237647953; 535155316; 242230925; 326263516; 754612079; 586766296; 843895003; 651214819; 285752803; 931658651; 191339174; 203873908; 733326685; 872130605; 25673318; 971861256; 555079522; 84129738; 573747161; 355027765; 954081720; 418893878; 833372449; 720089116; 363921348; 925613852; 452403950; 284839614; 602996529; 974354701; 904221851; 218635168; 203196222; 71410642; 196847096; 172839711; 894622134; 709570724; 732459572; 832165085; 943571413; 760445692; 763530951; 217170005; 501593706; 198934970; 224464895; 179615431; 737325133; 652926420; 658044632; 829284550; 407788216; 928500387; 846501560; 832629424; 730184349; 748959037; 993263004; 483341165; 760577570; 766246230; 185966985; 899426837; 430861015; 412592063; 221554189; 592046348; 370745595; 147080153; 429956703; 204342011; 534758139; 477671890; 383591193; 649229183; 803175346; 543054612; 983774914; 755405964; 851439346; 475030812; 960070022; 347640738; 366119567; 81137461; 287914088; 637020556; 696062279; 600184316; 597550213; 307991163; 627140047; 33844861; 741156415; 174973638; 574924861; 502004294; 491152708; 371933489; 438599924; 587503204; 193675146; 867012871; 274780783; 941157221; 449928147; 747475818; 288524351; 90529330; 290172614; 70302635; 82436581; 199034166; 780273590; 637808001; 477744689; 700640330; 972326100; 644125193; 552632007; 96183701; 678074581; 325174055; 945207565; 301517157; 888945905; 81566506; 337123444; 83307725; 604189118; 408153267; 10114851; 892666301; 430660969; 282910377; 645991093; 975760701; 922491341; 563114517; 413834577; 608867809; 702678873; 93860474; 240074889; 287619413; 687601022; 587446313; 190697662; 66710624; 674239863; 23759387; 77500791; 306766612; 409398851; 627519898; 892641270; 346119516; 284466612; 336799609; 782919190; 91984401; 341136087; 668652196; 264866524; 894091373; 910411446; 305660546; 850604912; 368603531; 564185476; 756115901; 581148958; 596575932; 723098293; 810811689; 913143023; 151599645; 854619381; 889156821; 529687085; 198061242; 364390766; 284844314; 996488966; 836507816; 377375165; 487047340; 85104984; 342239169; 531699480; 920465303; 597966992; 890413931; 54449645; 405975404; 344339940; 539846152; 470593371; 982871602; 999770783; 687080452; 333132915; 995794614; 700662458; 657704829; 458172140; 852366457; 892033037; 16098443; 403744750; 153717031; 271167945; 319392064; 978886419; 807618453; 276595107; 210811421; 786015306; 723887375; 473100165; 703954414; 919750518; 559613824; 730762418; 464465081; 172686743; 797703304; 81655104; 24445208; 141972075; 727565736; 346267315; 704764241; 282371565; 566660583; 765413571; 302560684; 855886849; 327446857; 268072995; 848079230; 642483112; 240138770; 63004413; 420838215; 428052926; 689971987; 17735377; 40056281; 542960992; 240791257; 938461643; 875019804; 704770908; 500797649; 847535470; 24200970; 869316303; 164334954; 635671329; 436468370; 292969748; 756640174; 417497368; 945587124; 949382707; 366282432; 613919734; 589840291; 448881684; 800194301; 556634614; 330028859; 401982489; 411682499; 221062819; 919817980; 781624956; 491813524; 503434815; 8759396; 44031875; 20864087; 661420038; 441518512; 370031045; 146092060; 708630917; 526594381; 875883167; 799549479; 649041100; 270405497; 214632309; 512954334; 651999541; 241597439; 981291010; 5848525; 666523910; 123504938; 443285828; 634468868; 436414601; 510406000; 801551761; 531835613; 348954373; 585619485; 521498960; 679477350; 930221422; 799957751; 189755282; 1457352; 415701017; 724751331; 4222728; 397645388; 782331041; 870241151; 716445163; 165413954; 328116809; 940753698; 398122521; 157281967; 841068974; 369059355; 899260451; 600164635; 618898110; 132983072; 652704045; 597401296; 743971057; 378882954; 545752642; 144543907; 779751315; 902491077; 64784838; 361065245; 237387461; 972159779; 981493685; 772257605; 7872904; 173966631; 829401986; 217882632; 185883021; 385536532; 199384449; 77521529; 104413257; 504844988; 9386376; 136063584; 25580340; 800622837; 580449079; 197138693; 810700347; 763720982; 710241975; 415333057; 856117621; 440012626; 114874418; 883151394; 988916521; 803164096; 250309293; 17129655; 347825922; 110647442; 483309937; 637003058; 386259388; 802673236; 83851532; 386284368; 603113310; 287899051; 314487419; 357672055; 132138283; 153757680; 643352680; 620940764; 729354284; 120444471; 317296061; 244079872; 837361835; 328559334; 20753296; 607766336; 275380364; 474104964; 304815072; 554859931; 702578849; 299080134; 359335896; 273841164; 425700489; 391169404; 737455720; 174690882; 348945851; 539790326; 123939376; 91293241; 646955702; 910041041; 546962165; 698330961; 950246518; 491395984; 873356226; 525474239; 363683933; 797599340; 457775551; 655032397; 255530066; 387557965; 331626276; 174616901; 631235849; 301788375; 176275910; 471394126; 804523931; 188267973; 111549293; 762548196; 656012815; 773597299; 925800788; 742909561; 698169694; 284889618; 507442591; 535598797; 986885029; 956922608; 360737463; 181535042; 412633748; 415334195; 996174643; 123053682; 260358171; 581047315; 134878294; 838183063; 302086397; 504235848; 500593555; 286601363; 97145024; 374340006; 644823136; 942490885; 444650363; 975303189; 90817293; 815477264; 624435770; 655205631; 122735593; 974382955; 310837117; 888064814; 865550878; 912960868; 769355029; 291185785; 826544564; 174428626; 304974552; 95866444; 987313881; 820023723; 967368714; 74762275; 926055517; 383165581; 419141944; 977896516; 513039177; 337388264; 170779735; 716724714; 756025030; 408834521; 306287555; 743885292; 426085681; 909637787; 387178645; 280140144; 91051996; 982026219; 483325865; 20848431; 872255607; 840925747; 479195087; 227339302; 179221391; 218557659; 459990279; 582485153; 318270090; 814083344; 162040399; 914181390; 169539254; 727379327; 384270613; 733185434; 506372503; 372506400; 839079012; 502848401; 288666702; 307741746; 308806047; 113220437; 486000339; 359901345; 232543336; 452962805; 775755558; 494592194; 403968024; 299804084; 652727332; 712368182; 401426835; 22803499; 59321479; 828497152; 487330172; 851301692; 749979448; 570884023; 240776933; 680251868; 789206582; 928290712; 524972703; 984929998; 399739037; 105898794; 782263936; 705272165; 744183733; 263769041; 73042386; 305403469; 182852066; 898637099; 403636833; 577839025; 382244008; 700411289; 427050689; 299408758; 57799366; 540377616; 314427536; 335922353; 678469802; 416008735; 238007752; 803793488; 369580307; 233746272; 62634076; 907724679; 149464782; 682476550; 275541128; 530586550; 632813157; 400233055; 733622268; 40415373; 648246963; 526588515; 63744929; 392975655; 471355883; 482216171; 270893265; 259914148; 763215609; 280441023; 354647789; 303590337; 573200363; 514364054; 195579685; 122440561; 273551019; 829526533; 452504895; 122859094; 835608487; 421139542; 69814697; 658438382; 394112913; 944889133; 78509925; 992671430; 691182454; 695950249; 759893060; 405924113; 234170727; 773956275; 162153016; 287942660; 73294111; 566679839; 894485073; 289269385; 289244823; 320653827; 433078264; 919780754; 867145535; 996622318; 707182271; 718742226; 893027897; 236205907; 434486781; 814512281; 224605077; 955837111; 875209639; 190787491; 372003612; 52574486; 942782287; 969564442; 254820388; 916114610; 679392192; 64306857; 765030639; 417169671; 530084215; 343565573; 233487673; 780160623; 507440434; 197036761; 171241425; 863155419; 350747029; 296274814; 476582563; 243377294; 83771912; 84289201; 242627975; 434498222; 180509420; 88337802; 185962172; 617812012; 689597309; 163826560; 879974789; 418932665; 788363400; 649435529; 313121009; 441247062; 804318444; 359354768; 16826418; 173443669; 690525261; 762296764; 701860841; 524413693; 506157616; 198111318; 343513656; 867236064; 427051449; 272919536; 770516746; 956084158; 84357991; 362770002; 543111591; 6570065; 759336084; 83210205; 464997011; 419204961; 655827446; 822604194; 424985875; 500292197; 464214774; 668355495; 191803752; 26604015; 130184027; 989627202; 811824158; 715379195; 314529946; 467392798; 719861441; 781605620; 866657347; 911687487; 204736972; 442675495; 688044889; 39555227; 885934716; 891401652; 538033089; 74522073; 458231477; 553377229; 863054851; 857388030; 571332261; 747981575; 758683549; 519140828; 154459506; 194488988; 301982461; 604978022; 868006553; 724188988; 164119254; 195299280; 626396112; 670359125; 716573762; 817495378; 723227450; 294748272; 539658078; 432647463; 850138223; 281278771; 467448083; 276647092; 829422390; 774123976; 107540797; 450361185; 654203837; 921742552; 837815216; 645729845; 567468688; 327854146; 991014820; 278670012; 705473149; 82490442; 307224677; 326174317; 340256878; 388069071; 334141078; 182695636; 549986981; 199293461; 40613842; 901920648; 383466863; 988407925; 830700785; 746709104; 760238366; 93479607; 788611170; 782637518; 294902754; 176853359; 681818848; 292104163; 390786442; 217312947; 727921253; 222861294; 580816464; 264604036; 467493624; 76113899; 424199101; 560298496; 477306126; 605602552; 762949075; 449547410; 504834483; 829741001; 41108046; 997569313; 732403339; 844256007; 699010282; 603681822; 156479606; 743981007; 758352726; 205084796; 975860997; 475132554; 994227225; 571362817; 321557828; 156850919; 418589535; 295176407; 156253492; 530911542; 814793153; 416053097; 974803241; 600568189; 891672873; 540255959; 594091194; 54205458; 702587399; 574414878; 294014328; 198722730; 627471403; 156221301; 382378914; 847163951; 17890733; 792085531; 643856183; 793920644; 910551783; 105588522; 208099438; 595811946; 940982753; 5536712; 497075722; 520374060; 666516091; 792872826; 262574794; 142495788; 259182803; 713513118; 918485955; 894362175; 641330324; 642854117; 212883516; 337874956; 913610201; 519256267; 617189990; 979845590; 63258922; 803629268; 903376767; 741564646; 109689142; 928663428; 26304111; 464039784; 410381781; 458037366; 153065117; 229454854; 573531528; 22025851; 751323774; 172569541; 420485529; 662898764; 97952645; 682156554; 964219953; 164396834; 196608774; 550941761; 939096635; 5595671; 945819150; 601219060; 120895320; 220433737; 582245488; 373112511; 930899441; 796692406; 388050432; 468529597; 581321720; 970821313; 782364856; 504663116; 121797561; 738682416; 692912336; 100115111; 952427749; 971436316; 492916765; 32770663; 732855395; 686561832; 157073175; 589552039; 845092955; 715461328; 612053455; 470563790; 94230660; 609908077; 900831433; 481053795; 681448784; 276359455; 47099521; 528093896; 727568067; 396437597; 877656698; 140024573; 896926670; 88006388; 666298201; 151838532; 2033748; 973324745; 110800056; 556600124; 645760244; 267441251; 422538960; 537711253; 957675873; 349779706; 798698292; 584433957; 156465950; 738708536; 550165857; 873940927; 118694024; 973012534; 256205146; 427547417; 887471560; 341036540; 9208558; 288934787; 333404585; 98357914; 118442527; 727299405; 846528301; 630314507; 98050244; 760308536; 967371008; 317970053; 836470719; 394194162; 662605384; 243892023; 503884319; 134918108; 203217364; 809675514; 66601684; 97114772; 670707391; 851093923; 445306183; 157007255; 137706639; 51874766; 9809288; 836573986; 336147778; 909833791; 522625770; 838020734; 467934858; 377725922; 745883066; 131239622; 757752772; 922920780; 193307292; 517953129; 801318804; 226474747; 269116853; 736749125; 441583472; 712146988; 685049199; 78119779; 164730875; 36005626; 305438515; 526928065; 945133075; 546176363; 943268166; 265829440; 679987812; 967023789; 292593413; 609171096; 502200795; 665814214; 877986797; 589801753; 333795858; 223793822; 235448435; 775197237; 915495777; 723189118; 161171842; 284458039; 756369167; 244348660; 122961602; 77066766; 431018476; 751710128; 93539935; 449093294; 993242411; 257619570; 418869751; 254725444; 825550535; 951282500; 222153520; 627202437; 875136225; 484941958; 606180924; 541677836; 539919200; 144890482; 543473800; 872283146; 672339343; 741884423; 532207743; 205957539; 101238918; 206822200; 206632778; 37217643; 593170436; 930477122; 822987279; 296056734; 883517457; 894679798; 217587536; 418943025; 316432521; 197388955; 910994248; 35491135; 817526725; 616506906; 282153566; 282280791; 149859963; 920344477; 169520238; 392541959; 459318395; 165725395; 489155428; 824192995; 594134078; 621206309; 524794560; 458113747; 816858049; 693641553; 764559560; 9431971; 955789856; 235586888; 409390605; 593408282; 888938179; 199200181; 786567341; 16168104; 518033012; 654953780; 391266117; 73514264; 253014739; 869306528; 10510685; 698656125; 65052317; 145576308; 196278790; 682487181; 771434702; 189870854; 407975577; 560486089; 413436509; 450397455; 460244393; 337998650; 332755560; 168200870; 347410448; 575146860; 346155195; 498568497; 620525262; 654249163; 981733908; 715020440; 161822169; 266879256; 301822116; 963810867; 201446273; 746620437; 608509347; 112438487; 820848191; 342520165; 237476236; 54951198; 821673979; 91876169; 52474540; 156321410; 302102009; 401354676; 865493891; 200927574; 114156900; 885637563; 534388200; 929428249; 136876894; 138575823; 878638396; 662501500; 618481625; 409405863; 405671081; 999189126; 936786431; 870497169; 107619032; 816050077; 940488768; 658333857; 965928108; 919875319; 649693911; 557885370; 505364267; 337609574; 24054125; 427882916; 235671981; 753538156; 96897412; 403111963; 62648200; 307827137; 260416097; 359700360; 353915650; 403412080; 903996490; 190394454; 117016851; 416552970; 555384808; 981423960; 179648810; 900219112; 855489246; 438029458; 304423879; 819282344; 814153105; 806928920; 503320427; 962934195; 714169196; 971770969; 919932591; 901019470; 427236479; 725070563; 886136187; 100873028; 938076539; 378221931; 965294338; 676286922; 179460046; 809548938; 84116570; 571957521; 505328100; 575991326; 938761141; 739617991; 32116666; 339449102; 755562453; 536477136; 428955686; 285029089; 608820846; 601632137; 585123334; 734265820; 275686238; 599819255; 177423985; 570998061; 843022682; 46197596; 751938049; 558791334; 401257299; 732591099; 620431785; 422106706; 940569562; 907639482; 31918973; 684976168; 919769499; 906832728; 629706579; 5997595; 558421320; 354740192; 846629863; 279217733; 904927141; 721592106; 480642131; 864266943; 10363155; 92889442; 888533585; 132239001; 359963054; 936595993; 805479966; 558933530; 171439484; 328379250; 216351890; 262227900; 669060313; 760898455; 216656030; 199691858; 807478091; 829257860; 576112661; 581201850; 847703443; 542764930; 163633088; 886922893; 521650120; 559782044; 896631854; 653997783; 247697422; 441578618; 698773048; 655025152; 89209255; 762715264; 792242005; 461633275; 527815311; 903630576; 647806830; 580480762; 867917277; 248389159; 621043481; 10280582; 15205142; 171378898; 579730760; 808231349; 821974455; 285993711; 829643233; 550141721; 469875199; 282498818; 678635126; 409538803; 608697256; 761061975; 275920; 151529951; 835714924; 637341464; 941908749; 932741412; 874815790; 291156686; 823515369; 662740572; 642989393; 234643365; 771932630; 209507701; 95551246; 392531924; 378897692; 963870317; 771717701; 560572965; 539365844; 57495080; 424541204; 1387998; 757659636; 161022548; 135539696; 603921405; 321438152; 518033910; 407329945; 860449205; 548810091; 517350564; 348160599; 939355261; 568696443; 797090710; 86182254; 214652160; 155388732; 530768237; 780186328; 988131572; 240600933; 213993042; 649001169; 74006774; 163822237; 538446340; 172837764; 996299010; 219609558; 513383176; 207339863; 657566528; 821005453; 798157684; 492787788; 35910368; 673828729; 152397120; 809715620; 924249074; 895451593; 497922846; 601730919; 523493322; 981316619; 688187212; 297344226; 313504134; 642505665; 757240812; 246782730; 961185890; 377787235; 972116499; 323673564; 577160537; 691007405; 865987875; 126391307; 43578183; 152613914; 29904767; 196543498; 985184084; 79718155; 387601429; 659136098; 607955437; 623590482; 871824502; 433540188; 289370567; 758267797; 534176456; 469460523; 581379132; 218856341; 6014557; 715612596; 166356319; 207590615; 51010290; 876276788; 360195180; 493755702; 768620145; 526075515; 988212109; 142726848; 497074768; 645637277; 973752686; 812506307; 151225277; 23675143; 633391966; 517068035; 46441398; 485634209; 441194298; 18800507; 861260214; 828895960; 333128812; 994424408; 473955171; 820017131; 432481509; 901739721; 689324600; 842986424; 802190135; 41447207; 59573252; 478217273; 846052567; 761976075; 218942333; 511105652; 142407174; 774646236; 637614523; 567480767; 497466427; 750729873; 540603479; 530437559; 584988874; 660103741; 54402571; 666039128; 816876089; 776739440; 317934038; 740793766; 789212107; 214733437; 687019066; 558878137; 855190716; 939200870; 684194903; 890025384; 116443472; 413137034; 851155627; 470948631; 573641262; 678761998; 241440140; 656359724; 294333156; 830424185; 853120203; 298105605; 939921781; 265531098; 23261188; 589689140; 696819440; 805351308; 810115053; 571556129; 549052546; 131385622; 449344866; 142678118; 54874669; 640037201; 215237806; 687638983; 603448636; 849615256; 686651923; 362917935; 813083314; 696494932; 658447348; 602576869; 117130957; 403640422; 238515790; 388807260; 148608790; 520525435; 593176871; 75585276; 563471824; 935397756; 900252782; 385952433; 273199043; 576278613; 834030346; 761976397; 364271165; 233910377; 649887106; 242802337; 510365782; 567292527; 974802654; 645992901; 918698423; 554554102; 185921804; 875850432; 321758812; 845410025; 173081883; 290270340; 955087799; 915214995; 883653151; 541719090; 465931216; 677385356; 230394276; 691454722; 541976669; 498909634; 969729317; 439973921; 908645556; 502113407; 783538314; 837494078; 309298839; 682397433; 441549997; 657530622; 839152811; 220499618; 139132741; 303832054; 483475412; 421549441; 541456843; 32556178; 384615327; 878831984; 487451696; 475697578; 783738654; 29882584; 849888506; 503913852; 798176312; 460050124; 642040796; 741899064; 368924735; 462641121; 11618581; 924308383; 786162408; 916427386; 450615234; 263080252; 732241820; 817550435; 540271628; 855309529; 368197354; 554525522; 658529597; 42743878; 880381714; 709207460; 820503126; 952737217; 994504528; 631526188; 924178415; 603978253; 907182509; 742516580; 9029989; 273210494; 57439265; 805701560; 460993834; 351672013; 183726833; 112797993; 147801124; 762554217; 683347526; 884048629; 902257288; 973159532; 725663790; 251232490; 579136773; 516612720; 661113235; 244220398; 200272805; 975925524; 495914531; 340209729; 290956268; 320347736; 427677733; 371315730; 706073974; 545021887; 196056365; 474617462; 381639767; 96958229; 805088621; 807198576; 300812239; 712538117; 826406837; 895589803; 797330133; 757972312; 524591877; 683951452; 351620379; 24965350; 962598; 870415403; 683863210; 522549079; 647397798; 67007187; 41352218; 186646074; 748563677; 206726951; 523757764; 111074272; 65517548; 100158056; 643015822; 748193878; 633078752; 131081096; 464316264; 191117430; 136804573; 130986316; 971229855; 638702394; 43887481; 427718754; 394398226; 955302646; 387252441; 526448692; 391872952; 732410214; 316337474; 760952251; 645405845; 633272948; 792546167; 264213722; 756363182; 724187245; 885830931; 170113188; 53479349; 588648703; 805129454; 153508046; 828025794; 605384453; 654857809; 49417258; 236308173; 162955022; 304937522; 797076919; 102322468; 443616652; 380946515; 913833011; 969259147; 16708547; 290635451; 489509990; 398703227; 933914002; 841431430; 151748760; 880897105; 405406233; 556285632; 12267923; 970664465; 416344822; 898070938; 353715705; 945894982; 300153580; 694507988; 10453644; 315942391; 437787218; 742395886; 479478984; 527607013; 756909401; 198530290; 866816354; 582383588; 481742002; 684420702; 561734360; 119140816; 77017878; 499943245; 953742300; 351354811; 416038421; 616083789; 435977331; 504262974; 565992779; 885876351; 919226024; 648769794; 71299482; 727912800; 689154533; 398971303; 649659910; 264870556; 938525313; 195028568; 317334537; 129113273; 291781852; 982764086; 260387291; 605784385; 786185674; 389708391; 32672301; 656037190; 632554104; 543238401; 293213932; 439325180; 646925131; 556078501; 5561402; 128555892; 314305561; 723907023; 425300405; 974612848; 583643465; 521145312; 806009129; 749797261; 686679576; 234855367; 982125126; 975307757; 611932369; 300997373; 110764665; 728474870; 52336390; 444665417; 709248549; 446953566; 786778156; 970383052; 186462569; 558112723; 519416166; 166466801; 885155827; 932109855; 51487355; 888887016; 418734039; 169651166; 858593753; 111622765; 58959651; 931413005; 437758200; 629419307; 519756640; 28621617; 589407215; 599281480; 941776902; 680072433; 562932108; 314507313; 816412373; 220953021; 439274884; 921341336; 300685323; 733382228; 909225422; 396303245; 45839793; 632057455; 961034942; 156697552; 719679307; 510940913; 56766032; 934400480; 130648860; 106124743; 505831032; 451729348; 59126825; 545594718; 939934495; 586970702; 214153924; 20804755; 440685261; 17789113; 21131656; 556073805; 126662665; 459475290; 742884887; 378653964; 610907683; 405210829; 40502148; 597987047; 442510065; 815441256; 492634522; 506692099; 775029365; 352272950; 296706824; 92038611; 798222032; 133573095; 454851374; 385886384; 580962629; 701013246; 179767459; 737054025; 146695011; 951491595; 351042545; 659560312; 433197950; 18767192; 653919448; 327768093; 556803382; 851126809; 897678750; 908969532; 113499832; 626023122; 381399481; 501711159; 298748806; 138231317; 817172165; 268910549; 337474783; 296624989; 812730139; 516760569; 290601586; 543565835; 161895936; 908705814; 227639620; 713047521; 750203765; 787335531; 157002566; 6417999; 864138854; 361351847; 299946194; 911581860; 203452657; 30861727; 628305270; 292723356; 857300755; 39990453; 760661953; 330547842; 887412036; 259801924; 42621544; 491737166; 437507721; 507694245; 850492602; 933645722; 337472147; 698301554; 727056641; 902798440; 386608475; 931874766; 318914320; 760069997; 918031191; 966272422; 556513246; 360225478; 857683102; 788864254; 575263723; 741096649; 736897155; 659118931; 903898527; 787322936; 894071064; 647174057; 463869941; 298373311; 400670612; 637696221; 964245186; 566837456; 27088404; 537852709; 188322921; 862233868; 195870616; 411627685; 241122315; 847372820; 623928678; 632129777; 133254032; 987906617; 958080238; 745293008; 673136545; 284682397; 400816552; 510879933; 584465553; 740802605; 412547323; 226269308; 823725662; 838936354; 30537476; 521849380; 266364177; 12645448; 344034892; 545687669; 689719921; 75123494; 307792318; 308853401; 524695167; 565988455; 937061022; 504034063; 410644571; 667429533; 319315809; 996162584; 230463138; 464376606; 692963156; 44771726; 845711275; 725573233; 40181327; 78763771; 274306497; 86547752; 52399331; 345558444; 783826968; 210412844; 568202428; 158843826; 608005318; 997663917; 268468142; 93842257; 441069692; 772380500; 273343456; 115714082; 378615492; 158841606; 334636018; 124736971; 836744154; 441395996; 268162148; 285477457; 225648839; 505520480; 714189279; 467771909; 987156303; 984940270; 465803572; 217718522; 590166370; 236940417; 574615618; 341130858; 905979747; 905699524; 304792846; 627432587; 180590247; 451837849; 54025721; 546452878; 134763626; 127133785; 816292396; 392450706; 601823961; 669869849; 912759319; 297595465; 260998469; 992091816; 809283320; 957476781; 424430589; 225339918; 522894387; 360698913; 961802806; 514868961; 727904424; 689750967; 82444652; 156602344; 245182824; 279532925; 191484541; 21657008; 541236305; 345173802; 532158773; 484792280; 735202865; 916636267; 916888952; 570403162; 836299017; 347938925; 947077612; 971054767; 396527853; 596142044; 191078159; 601925918; 738903631; 195984375; 966252007; 205656381; 801230; 641691806; 723534631; 357542719; 745365190; 98257773; 34336460; 997925459; 778202911; 593251680; 763553724; 279037279; 245900534; 308631579; 911711768; 341547786; 676510334; 385789837; 918896711; 177833062; 273576076; 878904284; 659137; 262247959; 527620050; 469609053; 515225568; 419394002; 700231218; 307599147; 93274196; 287039819; 628863771; 265297540; 953684183; 572513505; 810487710; 332868508; 818436744; 738858700; 408624833; 509891763; 415006155; 79222974; 299881167; 546307136; 678885689; 883247179; 172047658; 794565242; 279755761; 579397063; 329339282; 609038628; 567637238; 726457460; 826262450; 586466331; 574326336; 485575947; 78586381; 762731324; 866201786; 911092087; 365654262; 915364905; 879507056; 974697768; 435200699; 292066445; 430776970; 442367424; 23886550; 192206354; 463268041; 622452650; 719562152; 693738179; 557824113; 964036575; 825791753; 886542257; 53229884; 988149998; 361891653; 646343269; 100664835; 81461975; 447083539; 288419881; 705696647; 79217207; 542609316; 345563502; 664120464; 3883985; 439104768; 108706417; 481011208; 823632994; 643666644; 649122244; 132639301; 746735840; 420044476; 705186385; 89440790; 550629950; 860139332; 389790568; 371498534; 366315200; 451746564; 753069279; 97506919; 674656864; 48226130; 850780428; 643955640; 293265066; 180724502; 902569099; 706253897; 455037993; 664299863; 840518315; 716091614; 201841450; 629802917; 198178038; 81322293; 33865085; 747340193; 285637992; 117139759; 503814148; 554278823; 658793038; 600544411; 993681669; 150418054; 410427823; 80786427; 766186401; 62507504; 341063294; 249905300; 201357604; 546432728; 386639577; 586456774; 916411440; 996134562; 703870039; 407293409; 399957252; 859703390; 123306609; 865204276; 903901318; 207589780; 519569110; 215283195; 768862021; 707076805; 169141721; 214623806; 395960458; 300992670; 155181373; 826279857; 507113183; 771992784; 189535929; 9916586; 644240470; 149284505; 118143064; 585174853; 105715351; 912023848; 301105600; 352183707; 378289793; 445575039; 500762058; 101266553; 846822969; 655878955; 773778827; 887026832; 565957794; 386225898; 2331083; 701859101; 35416175; 173186280; 410749885; 801648957; 597437582; 265732827; 525336491; 316989267; 895329874; 672564930; 716821399; 634931361; 625596251; 738557839; 778931380; 494533644; 804108209; 366332334; 898023129; 493158748; 412397924; 642124934; 840278414; 253537524; 858348810; 835644389; 54986449; 94246971; 152215539; 7663164; 540537794; 542203928; 956884846; 681179506; 415704609; 940400249; 54842343; 623978651; 563514227; 13612854; 731019300; 566469799; 70834831; 146360942; 694108326; 515503915; 44376329; 352734173; 999738545; 629625322; 923629931; 411588392; 11917090; 10752218; 183412159; 332040002; 610802199; 186111417; 990191318; 580568812; 182974997; 941114547; 415251128; 155066410; 958675559; 374381730; 578155119; 289445470; 774667044; 971907319; 436340818; 947079211; 536199987; 685193976; 874528104; 305872803; 682594289; 154656831; 265054863; 103804138; 469451427; 143457579; 474774706; 540328283; 366715792; 719638880; 816688517; 588322811; 299052291; 203321282; 376004399; 803899840; 854592047; 940919246; 17572884; 340415078; 292861903; 905200792; 513470363; 698475580; 48540262; 258510771; 658133119; 530961780; 948774796; 827674122; 404162277; 599899408; 949396266; 351910733; 762725197; 323872672; 223625686; 526998994; 562132608; 799229741; 204434863; 524485484; 817868374; 465647025; 6247875; 255761765; 300850179; 374914190; 382009576; 428212841; 650180164; 269480173; 304107449; 886090329; 245491912; 167885754; 575134235; 912916654; 811929733; 951185954; 945641399; 648631970; 320767003; 558761892; 15317359; 404167296; 389063028; 522516940; 704562206; 885210028; 57619261; 283859795; 285301829; 235529066; 998270992; 114142564; 188133814; 859621854; 138128007; 986850946; 748936945; 202000371; 476469096; 181899344; 176779129; 385255251; 47970810; 164643418; 617506619; 115002505; 439962620; 938600906; 866934835; 156319153; 234528332; 526203453; 45291204; 463922277; 389396289; 824332251; 329791786; 369675826; 360790897; 35575497; 219357774; 312988193; 392803407; 417930237; 890064119; 393382880; 651885356; 715113970; 538965312; 631775057; 59428495; 545411269; 880957865; 891209720; 810650441; 925665767; 540594601; 326975687; 619963617; 503339974; 38357883; 24079497; 426246154; 183378019; 342883939; 898000358; 131194239; 249284990; 893893112; 404510820; 993328312; 234102472; 67750954; 841523619; 104884926; 218908630; 120209741; 760630199; 226817304; 13645098; 134882215; 772551551; 278969047; 472286166; 250670733; 986660304; 753546876; 190733201; 129394933; 777423369; 645813843; 580812170; 410426737; 948972591; 976434012; 124370506; 456645911; 850321238; 979636435; 695266885; 202533350; 42884773; 308868456; 347524352; 653738223; 220974887; 897532349; 754795629; 424761866; 956469914; 561139949; 316694867; 964973308; 896418436; 720105265; 371982458; 924839957; 527546258; 275222901; 494648241; 302474041; 137454014; 378735962; 927803194; 437625025; 785726726; 461507491; 723275773; 43068606; 190267177; 555376908; 637621740; 965727382; 199887494; 236955737; 422993932; 766812134; 159378588; 375944953; 407159445; 22991471; 265142038; 453921242; 245686098; 41722911; 882236545; 824552627; 387438312; 679034344; 697476589; 105101381; 578114181; 949267357; 201816077; 944578484; 533484081; 465201769; 896690611; 981105102; 971353440; 609743020; 931656021; 289710352; 905818837; 449674955; 355035676; 421871456; 61224445; 303315013; 143615232; 672924056; 235435142; 398149415; 53245814; 422246160; 713857394; 870241258; 331183866; 754109162; 109105974; 148637582; 791197291; 542076813; 460410898; 294093918; 208172214; 717318022; 780723940; 493027452; 176761528; 848954727; 597029086; 253607102; 888168655; 300230384; 357267752; 779210006; 843552203; 283071296; 192719520; 514757860; 65289483; 836088077; 680455139; 565494088; 107780077; 817880538; 708918465; 990294312; 998873193; 404366797; 920235729; 378887906; 323400115; 345644993; 639797650; 741051613; 952385960; 326073757; 105031001; 500836356; 82200536; 650990931; 804921412; 231794670; 249325796; 264543292; 14388989; 278354703; 815307437; 869223550; 432427346; 325991754; 333466863; 37228004; 816843977; 12945244; 494577615; 143648789; 763966138; 19627283; 728899617; 557780186; 54304618; 452551707; 231223757; 967672154; 821392482; 97920516; 56090157; 717910228; 222022724; 211281631; 552477333; 207377171; 937913519; 251763729; 52366399; 673908293; 320487489; 216727732; 396418046; 426267969; 432640184; 2653271; 15622630; 317012899; 573292140; 640392901; 340158485; 646232214; 56169021; 191771318; 623948080; 123896681; 694340870; 527328212; 116436312; 338670524; 680085690; 809505663; 282525935; 166375412; 774462809; 305690822; 926420608; 441520060; 229045194; 974545382; 24754030; 5224758; 129569187; 653434184; 580338969; 235218380; 228109433; 549146922; 815909941; 39072646; 212108939; 305484362; 400498410; 893478847; 77331557; 917031080; 17861031; 437650913; 889283705; 242212157; 126865088; 394464363; 203959967; 996593148; 834751994; 961652965; 690185030; 176114979; 359647849; 372879915; 499899610; 394971580; 271247343; 589941048; 949344656; 388169748; 818940472; 667545311; 668387866; 362042505; 653052205; 571731369; 959216509; 703264043; 967115605; 801752219; 661219914; 788728790; 889471410; 805579621; 711600635; 112556637; 820730050; 6267835; 954441351; 45071213; 82600005; 905145879; 425438110; 711137835; 82256155; 863965498; 218752920; 912555617; 492663173; 871990329; 713454536; 88988358; 221811623; 99539997; 759327150; 841678612; 452055332; 821650753; 535433354; 15609773; 127046468; 795323792; 130903729; 615621437; 927510082; 239149592; 877156066; 908856644; 877647273; 677671370; 815568130; 251466715; 800103858; 46795987; 153700688; 973586120; 715210728; 597548553; 412893283; 516218263; 746419285; 456012880; 22656739; 590596557; 798004071; 414492704; 826578212; 186170190; 651664295; 628063901; 413073374; 231340400; 644416003; 265576400; 219588600; 876210301; 617295161; 768704927; 747429840; 730354735; 698173479; 906935605; 825792321; 331942397; 564838587; 806409661; 859766013; 672910281; 682938632; 602788765; 503452415; 789778494; 810352414; 978335243; 888112450; 335478283; 400354949; 645815400; 164952373; 2571968; 350598854; 59326517; 382974582; 396895910; 801000606; 155516904; 993368470; 239682451; 599795583; 707112273; 108139698; 492102311; 71724967; 364245053; 920447503; 464759298; 742529312; 247982024; 662700348; 977117305; 400024210; 240620387; 233315284; 882613941; 644081882; 264344307; 716359201; 103765765; 854966207; 549994102; 542455236; 315566580; 187125059; 985853595; 166207850; 231428570; 635652625; 616229356; 385631727; 256990283; 942380173; 122119949; 98623276; 320343404; 156301386; 317567265; 398580214; 963735281; 850082950; 332282160; 804217200; 569292813; 603922127; 347295105; 999538708; 945024747; 517852971; 157597507; 688598862; 315327193; 699111545; 574239651; 670975359; 29988105; 854618360; 787043605; 171045982; 929524721; 462479791; 672556829; 129251745; 90524612; 345799674; 239976186; 946962485; 161690469; 357337667; 881707641; 796067517; 260985324; 361024691; 950541493; 327787180; 550501995; 238705492; 244822756; 170310991; 859732864; 847826085; 715343470; 650399173; 904574277; 861392497; 882643173; 988214029; 783748386; 763013069; 605363053; 18967937; 384405007; 574882188; 8860347; 80499174; 345223928; 733229358; 904778779; 120532910; 952481426; 642332744; 966062019; 101142106; 108559951; 778813728; 57941180; 798431188; 474110326; 77622833; 129451783; 563886929; 808694598; 802643396; 806476964; 408572770; 39717027; 102484704; 995337279; 799901792; 3092692; 46545971; 766147289; 45417025; 277214187; 939866332; 374288109; 585739201; 232432658; 885463702; 356051247; 816457458; 233664219; 56689412; 856920195; 205447800; 783991597; 969668490; 261979113; 599510116; 101943354; 517711310; 973984718; 789923479; 454799856; 783786584; 62397238; 941697530; 648441467; 192004448; 301429793; 407386075; 181495950; 264286795; 686963820; 776017512; 476391572; 916554106; 188686516; 202385142; 821376867; 920477329; 427599182; 815365673; 268371039; 323371494; 720212651; 314083316; 996896832; 52626469; 721845785; 693639981; 613797579; 367528838; 741866779; 780134562; 226559816; 633635811; 339699753; 908718352; 160438962; 150608957; 215533449; 557260448; 664743480; 48018347; 814252170; 957683678; 574116074; 158671302; 170865757; 633424640; 512779982; 509267255; 364359804; 989071842; 800460097; 851606352; 112827609; 329445167; 157827272; 359478064; 725648047; 305209188; 396547342; 970847299; 996871439; 76638207; 500387434; 33923947; 287536042; 830556757; 823159140; 996968606; 558866830; 64311354; 707555301; 276565626; 434796575; 769449179; 641811708; 204163050; 119302994; 923012622; 512515490; 866948868; 687291924; 496262418; 975115316; 680502282; 475707894; 784478850; 412999801; 250774295; 850709128; 789363108; 816112923; 658711368; 444594349; 588539094; 860162463; 260573369; 91711942; 604200697; 594721932; 738875563; 100947810; 395270511; 78631999; 75451850; 326362590; 334525755; 764922430; 761549662; 925457720; 247208724; 507970946; 365156187; 265959220; 705180584; 27795404; 181582548; 17863210; 805091580; 138504137; 527123307; 733404215; 331430165; 472485462; 474389200; 10423622; 817378233; 476341743; 401877017; 73133871; 682221893; 62842211; 527932421; 79071841; 248442225; 934661340; 761555222; 394608623; 630807701; 641475931; 332836804; 444445179; 112287607; 244468199; 659380189; 467249972; 708287552; 793925919; 948948521; 743088537; 747277728; 93305465; 38043285; 640098260; 129103908; 55920126; 26389492; 114563377; 476824684; 741384233; 662101199; 239612311; 214222064; 135253043; 525170312; 123862203; 814575804; 582435000; 954101234; 52701603; 486049485; 11001233; 334563191; 872446331; 180290544; 103391935; 47748363; 761506310; 728338232; 165364139; 292675948; 670813918; 221265899; 961511229; 576788276; 590121062; 339024118; 61541115; 909007252; 827588583; 681543023; 68120380; 925169984; 859583599; 697561211; 915879384; 196153172; 671408779; 155677789; 498069886; 367237965; 239158505; 692983284; 255116178; 180310209; 528558814; 464310167; 903926430; 670102579; 864080485; 34873848; 913485056; 134225604; 96844918; 499895023; 639957410; 990277178; 998384442; 953368080; 849432453; 783512480; 532323231; 940408639; 68213667; 578688444; 694816398; 144828793; 795192202; 445140350; 701620092; 595620297; 541733034; 81504989; 458608696; 766796389; 483215342; 126851327; 120646329; 715464952; 441402650; 65528015; 147509525; 699937747; 853204687; 437275977; 280117981; 160327337; 529470387; 25329278; 75439052; 288183883; 302776284; 287285621; 103419506; 349527721; 774655525; 756453403; 307720117; 9888220; 223962457; 822022684; 972040796; 788025077; 498497933; 86141063; 212829098; 114978072; 746631830; 670947230; 743091193; 464393998; 666483577; 376269674; 9310072; 665288795; 387705442; 876096417; 311315291; 822389481; 918973584; 622972535; 160382364; 802388142; 694974229; 461681494; 792409633; 545547505; 271288272; 772465586; 879279785; 583607680; 945504156; 430245811; 128460867; 640027682; 727619104; 938958103; 470273780; 232700631; 139269472; 34768139; 44757395; 770560175; 657032322; 278088081; 799399765; 17935408; 967352203; 481644816; 909586473; 648534525; 700914668; 269107792; 101417720; 484126550; 124624771; 401205571; 501103821; 139012402; 352480046; 375294413; 77495817; 874225305; 238668546; 514629284; 842691237; 864058537; 831979388; 745611032; 778222789; 991292334; 773838258; 622541173; 67562755; 929105207; 354751176; 644521248; 706940094; 914249641; 506762456; 981360284; 868822515; 65207406; 443820808; 343234524; 720482144; 159224811; 215845299; 471128011; 651344093; 158501917; 406199307; 703452409; 282061084; 175914983; 561326571; 343890361; 656677094; 516764153; 414569026; 352329876; 715584331; 517742834; 464312039; 38607916; 243827233; 639465228; 984083317; 759043595; 5946183; 926814233; 725465495; 637855659; 903287880; 686097736; 796375449; 819815108; 604996598; 338188859; 621069803; 586911049; 478967110; 803668524; 767377777; 332992652; 390361677; 101568530; 113998580; 424136307; 821662924; 463398704; 717063511; 925018824; 434148133; 525590222; 424933256; 120972523; 666072751; 459475572; 522246252; 367641555; 791528949; 898640422; 768184380; 436987269; 451640885; 991405264; 489547808; 696298834; 586537371; 884409029; 106017153; 683460575; 34878000; 232326793; 876280554; 744861020; 3985791; 258290133; 556759814; 764985232; 58506583; 44372724; 618718367; 598223440; 685130146; 289526212; 987049197; 616107649; 29690263; 980815206; 649409812; 796515012; 124602251; 491919341; 793399028; 438929508; 42945574; 121671526; 624872110; 132477325; 775135746; 55092805; 504671452; 716066845; 439281340; 742485317; 897090697; 218382695; 562493582; 995009326; 480414093; 644788518; 174912391; 520439214; 759439499; 143624332; 774605795; 759242801; 100794661; 390240645; 393755211; 453545887; 938964280; 509277755; 58210391; 818115084; 680321081; 653901968; 143580477; 423851115; 235539669; 27850330; 679790133; 794043704; 83640223; 249363479; 278723681; 386093447; 742793870; 437968782; 770533571; 970896170; 255010090; 197469818; 255262296; 563116183; 592601057; 440110211; 845100221; 414546249; 301357122; 361489770; 330736944; 907485447; 461643609; 773648663; 240390158; 320343361; 505216086; 623472075; 213903487; 135576473; 40064991; 411788655; 1840920; 141988426; 239184305; 32171950; 877582261; 693569957; 574812381; 747702512; 162004029; 513801210; 281481536; 984163443; 376646581; 716292304; 830209373; 560190838; 60201774; 293996917; 939046840; 595429467; 609323560; 27889427; 687591204; 327332319; 213290287; 968566753; 766037849; 738180048; 346781069; 714937594; 537035054; 49190817; 60776400; 320484106; 671452356; 377600580; 712151507; 905379591; 492788347; 31573529; 119034970; 47416382; 499986805; 997092057; 883218518; 986707384; 20544527; 297214768; 377905509; 605798079; 330328375; 587761498; 855147112; 802527385; 866188078; 603342272; 261590046; 451189930; 920718896; 389941613; 47978595; 930365485; 278274609; 727367952; 362972705; 434532496; 975139096; 819440494; 851939091; 520902423; 740993011; 268447267; 16572673; 92568091; 523657350; 712628477; 343327702; 63763484; 526644663; 609642160; 623247421; 986505224; 44859868; 617748735; 543155181; 290540618; 158569856; 138097237; 983851632; 323254860; 800180817; 265306314; 654193962; 777340464; 525953159; 391292030; 132562161; 158724389; 766151825; 912593671; 596524675; 220560875; 457076674; 136839981; 587610652; 744121821; 610841916; 698847196; 688641873; 908167489; 232087827; 760766069; 692780101; 796199665; 389839498; 122994260; 64583394; 374287718; 474570840; 604062880; 915040253; 101737723; 507387950; 360394224; 698270905; 543050867; 819159047; 203147654; 493870317; 748913588; 599930227; 372712669; 522948573; 720506937; 730338447; 251188613; 571088941; 336083838; 997563751; 350012953; 102967365; 607677745; 772418688; 599355590; 747049199; 147254690; 23398461; 708085425; 39726296; 666981245; 916182700; 554978629; 589921092; 623043532; 701823916; 828669212; 298697593; 430564600; 804270238; 180549926; 339796670; 317333108; 727816220; 658214179; 704460522; 873274802; 573195641; 279685352; 228609784; 284540614; 24794261; 220871590; 318165848; 43923040; 131765909; 790692182; 119420782; 256259197; 176291728; 936750992; 275777831; 586153463; 177356492; 618480833; 496064602; 309159897; 712958258; 220447198; 815906771; 276485881; 201112005; 379984956; 964653969; 436953670; 573736887; 956698655; 515241013; 23598280; 974957640; 396585973; 245951847; 162885129; 119813119; 871832009; 848877978; 770089916; 412222790; 248759344; 260135954; 771341080; 65770711; 202333739; 818832646; 500934545; 865556165; 904574689; 566045979; 723961023; 697983691; 424231845; 522542529; 908799095; 388926147; 422767056; 420288606; 645543548; 529698396; 441934947; 188390918; 814388254; 571322036; 719072867; 532954014; 136178789; 316508755; 107025088; 206235333; 346187147; 721577569; 149384247; 746371584; 366990611; 634343881; 336777425; 806792587; 277637295; 445753852; 749130066; 542437897; 372775183; 588813946; 696425666; 712930085; 401006790; 849858720; 16741050; 159346677; 715804592; 459654301; 652721672; 866832161; 899987651; 994362497; 939296900; 614055810; 518436286; 562235685; 490644635; 425839736; 133165913; 269527754; 538656181; 153453535; 199257143; 904907592; 198076157; 325513885; 233634466; 838949124; 330433635; 401876385; 433476665; 485457076; 815449173; 294230227; 971868852; 881093963; 879257292; 906308177; 16868812; 583203212; 621878430; 919168097; 4171572; 278484289; 76005862; 598710051; 604738363; 467428534; 905420374; 138571148; 648426182; 565451868; 898042014; 900155151; 436258856; 733440131; 647360130; 516509261; 844041547; 964858698; 115966133; 723782806; 203219400; 324265305; 834193866; 3753234; 44567009; 591958194; 40855317; 140470340; 611674389; 547493519; 458966953; 863530455; 957239824; 166816802; 717833013; 695488197; 538519075; 939638212; 46985762; 217138490; 994426032; 573027255; 199240003; 219521587; 491404946; 795965051; 647739785; 593484406; 645774475; 998861399; 316603956; 334015970; 156199065; 277881785; 367343564; 322759866; 536888885; 484449998; 512859659; 449267770; 414937317; 572548284; 932492888; 119750936; 87402336; 460108315; 98358516; 329787285; 872810014; 39548256; 928455132; 669531029; 296563472; 388158807; 497357565; 247981374; 855784929; 124109759; 448979424; 92063689; 818576108; 726976171; 302380837; 587855237; 150338427; 494610526; 676629107; 116445892; 149880076; 941071333; 140138890; 660891586; 692993529; 855232946; 724205835; 228833801; 717426666; 625756850; 725235400; 761917260; 985087981; 832005982; 249626997; 404386898; 766900415; 695809069; 173072397; 238674466; 966300197; 74778372; 586824489; 52134791; 444683370; 68701770; 518987833; 442179004; 489260191; 295751636; 400186764; 436436748; 922116400; 279199037; 37350129; 476283466; 677019002; 840465529; 317710899; 364679938; 609561085; 934781644; 180927013; 478325528; 1518195; 354925266; 157804922; 967881002; 110404971; 978283605; 504583276; 788884194; 352409587; 439874432; 86108595; 894858182; 831555984; 633262196; 361608458; 603787844; 894401864; 67588347; 955282098; 321232596; 831961803; 811739214; 822291342; 235189709; 355571521; 774167165; 110554900; 634495756; 441048726; 683852900; 467536908; 757820551; 450364546; 359943670; 541292725; 616730170; 364215171; 194950245; 905539426; 32467052; 974753387; 173867455; 680770155; 538710134; 336165126; 691180968; 532497703; 851480805; 45552032; 660243735; 262173003; 852367623; 820411122; 247064282; 226022657; 468945962; 957224612; 911234628; 833445905; 583465831; 803315496; 933144749; 63963348; 482357191; 901245675; 142302739; 78936835; 10282609; 949064088; 697598818; 948059324; 447894080; 130103384; 190515121; 357342639; 796622031; 903531182; 263271238; 139605615; 8975606; 370197896; 214190428; 309856587; 739768377; 560994496; 840530545; 450318864; 403497898; 683678295; 500122575; 830513135; 16906061; 792583592; 282385304; 732124527; 790791423; 780286521; 67811702; 424617995; 41699355; 340241987; 549401840; 977558284; 140092780; 664009357; 649349092; 296244631; 980925766; 4507653; 325119630; 579717303; 16442617; 356659753; 678360892; 434144571; 869330975; 739834043; 15984418; 710733955; 965542634; 234127305; 978021652; 791785593; 323371510; 828211232; 239850107; 657997213; 999955106; 233794004; 362023631; 492544452; 92993003; 839241655; 159559090; 630738083; 657448605; 163147658; 612116259; 953518362; 505609295; 240673666; 917551; 156779495; 699301213; 557163852; 303347976; 609314130; 799264734; 535404560; 70436457; 104014611; 339085468; 834223318; 152417817; 515908724; 905142610; 157245258; 364290395; 113683839; 602228989; 47108946; 287901710; 260578798; 198370257; 36941070; 786264236; 125698838; 622882204; 918232106; 156631231; 288060772; 337527565; 130180166; 298889466; 15526979; 94608468; 914744510; 554422860; 667677542; 964945962; 794759785; 913242365; 148174576; 705412895; 7469369; 349004594; 503101429; 673630858; 271386839; 66634622; 760954883; 831793829; 399926876; 120005257; 41584947; 550115943; 780432201; 509670095; 682938837; 276156646; 123189029; 722304837; 258990834; 367334992; 7809574; 769182511; 802162627; 835323110; 963319302; 9536898; 963191189; 934708460; 66366999; 674289951; 43334554; 331249112; 791847234; 882819144; 407526595; 709617560; 682465646; 61906845; 533053742; 645217138; 940058194; 701580798; 116861062; 931802628; 548177941; 512037742; 447740029; 23120555; 656664651; 503212915; 80708922; 594503441; 753650372; 892828694; 78637642; 690532243; 315608658; 852051723; 790981844; 251796526; 44015398; 936785177; 737818343; 142810275; 599858505; 173834924; 865953771; 22860977; 743030618; 846066600; 205241179; 486878240; 765925414; 177020716; 97769569; 388644524; 172022383; 405411417; 172779253; 314674339; 988150960; 95342994; 601863105; 813551331; 563602503; 313915571; 971067927; 964474094; 703291048; 249803535; 471813462; 766968689; 189545469; 577903652; 792433140; 571398208; 757398464; 230016505; 181228708; 336750987; 383514763; 975664416; 731319303; 361210060; 623363688; 816329962; 312049955; 764936676; 440212440; 798866617; 876280366; 589528732; 49259251; 599395189; 388823444; 84937098; 331574513; 763715993; 341547656; 226998564; 636359056; 245482826; 567673362; 406168126; 611268057; 707476641; 152751992; 799798111; 153745931; 47931840; 665262714; 297991184; 451203387; 25739880; 967458497; 441282375; 817078939; 176602863; 61032732; 966123974; 643193415; 473346963; 663064272; 269356877; 16264986; 712721472; 189423555; 741395021; 345536170; 556341549; 213250633; 168887751; 625915700; 531098881; 597953140; 396592901; 114263738; 17603131; 125718555; 823387910; 879650370; 773644914; 301485393; 9255607; 267844422; 924540687; 758964745; 136745738; 460960341; 280907009; 364725039; 550542214; 300625915; 614786911; 21864651; 141138137; 199889826; 327036908; 946316711; 602837947; 612045339; 894883655; 430681861; 961056738; 176838223; 813208160; 568948954; 555118245; 367823104; 816901031; 151750003; 432291188; 996760941; 876712217; 170167389; 305787121; 484379667; 31203598; 389197464; 834246950; 635627380; 883768169; 176287609; 960208862; 836850880; 802307066; 318798308; 765181229; 694087892; 727581990; 436205868; 716519107; 811919628; 211009811; 994395838; 940320236; 900061348; 226062442; 135144726; 481425955; 500770664; 797581090; 624060705; 728925509; 293753323; 530564638; 460259890; 247801027; 468449272; 94555702; 670051292; 394570720; 627483323; 926972208; 537153924; 167938980; 356381102; 43020379; 212787393; 509625299; 88004907; 684819221; 125995679; 389294933; 659084922; 863185842; 311081699; 355530842; 571398790; 939225259; 102835229; 342198592; 211798715; 963926783; 486126396; 657612504; 974424231; 891219130; 132450478; 891889762; 229254918; 401064160; 927342323; 626089605; 33672693; 122795846; 123017501; 227343229; 746153554; 14691446; 614721354; 629619102; 73736575; 746881672; 540698963; 240739736; 361740480; 130496714; 896380772; 405951301; 497450401; 733900756; 916069404; 607541405; 135190654; 955258701; 988310199; 304200761; 561922221; 954205796; 14589448; 193982789; 316678428; 817157497; 113149294; 785778732; 63006515; 712975977; 129239741; 155378047; 136274311; 401595275; 877464406; 79188634; 417703405; 200962664; 429290488; 217431189; 599223542; 196357188; 824617184; 56016053; 735173634; 822378671; 363675394; 73943985; 982088714; 887477663; 793720830; 252910209; 351829095; 257583443; 432778492; 168047138; 516911784; 242643183; 322610230; 560830925; 286837463; 753895107; 601381501; 403315308; 575927677; 158808236; 959297723; 337469814; 584870237; 97375506; 871254657; 203099646; 229377847; 37503469; 248579459; 664934909; 76372313; 26266727; 554086901; 211050772; 874997163; 738982657; 528661525; 212409332; 683114083; 30075946; 922275571; 937389792; 304239250; 518009237; 486552091; 654790295; 139261818; 651194208; 946069977; 549874863; 791281080; 104539570; 493866648; 86886377; 631311987; 433480457; 78337724; 137913852; 770257433; 447216236; 528068994; 866287991; 946627154; 793872290; 911816135; 785613854; 548735092; 732204616; 257626418; 954284101; 660379743; 981753142; 291626088; 491361573; 137584635; 996874037; 562080907; 655509140; 765790272; 542990370; 752481068; 959427753; 71429333; 856484891; 697743668; 951641032; 923595919; 372191575; 61193218; 949450805; 349344555; 982358099; 233871679; 528214939; 278880838; 935615313; 866972277; 819626310; 824571952; 187060639; 323811002; 359304041; 962144767; 591619810; 525770940; 56782568; 562521658; 766010183; 945101001; 3105574; 448144283; 168205974; 671452312; 243617941; 91010033; 871622698; 961028825; 699310254; 117214327; 255112656; 338727512; 70939057; 982342803; 363773571; 826893518; 851029416; 812095542; 617915439; 343283119; 446557594; 239537801; 663605454; 937539164; 32386612; 40489029; 42359935; 783260727; 416378698; 439983523; 325651296; 897193724; 723241247; 340874773; 126683829; 990991720; 80575175; 369276313; 134838803; 875993561; 348205566; 789298596; 608944316; 75963077; 914472982; 990354423; 429164543; 995928990; 806552268; 886459879; 989765902; 519830138; 517914654; 401859944; 995122110; 192217950; 931601391; 766297398; 17415710; 544700302; 998939883; 307767652; 491752022; 46452668; 72130753; 419432348; 778682122; 402985843; 921668700; 610848334; 633693961; 724118613; 45128055; 141188815; 950906411; 434595489; 126462542; 242240845; 796306039; 191738063; 124158342; 654686099; 132117609; 503500865; 484236541; 690573439; 649362674; 664985262; 198900202; 410232902; 16602332; 61752711; 340826712; 538675354; 888598561; 949947703; 959626481; 355320143; 87882594; 51968756; 616953324; 671905395; 69664352; 918901303; 915892455; 779473729; 787640228; 517456106; 374062765; 3973408; 571611894; 355411599; 229663280; 474707955; 804569187; 281658393; 163479671; 486825489; 457435052; 108763306; 999081945; 905573109; 57304786; 783441733; 61119711; 206470905; 61069370; 276534535; 332936764; 701988125; 987468924; 292327689; 541819726; 291659987; 201967426; 591821046; 54882261; 741730089; 719505095; 442102332; 131677792; 302682221; 44393504; 846381341; 829048839; 91731486; 947652617; 400352444; 624135589; 497452928; 336611373; 472680380; 6684090; 743645320; 14733718; 817001123; 179771299; 315948267; 537244051; 350582584; 379135433; 789078578; 37934467; 156733318; 136687934; 535746813; 282532590; 460513783; 11476664; 142834166; 758776889; 94274345; 483321682; 527157344; 912625437; 852369692; 157756480; 710812809; 556900405; 403099718; 866247828; 580852893; 231393537; 86643448; 292669082; 2204641; 939341007; 78011798; 348279340; 966862695; 974363417; 39611459; 126881678; 483561187; 828232988; 353047694; 600004479; 839082077; 14089812; 330327702; 82748855; 523564242; 395905186; 475123222; 804046972; 618836125; 647394688; 640251357; 542373591; 300476409; 100209169; 541348340; 357127864; 517162573; 461135812; 72820014; 381051787; 984155377; 964956747; 490389744; 864379793; 171892821; 715112494; 484836022; 397525841; 995383445; 543822151; 651695076; 836473629; 680383703; 144024885; 538879337; 542453554; 218592807; 480364913; 204919736; 18259777; 694125666; 857197825; 457668159; 211971700; 69967338; 637134983; 124128403; 196908319; 841238014; 658857655; 205175343; 226198970; 162770913; 706672349; 413741800; 118221375; 653893549; 72262490; 695247839; 343686447; 105088779; 107570769; 89601816; 501111576; 314319100; 380203093; 952540620; 485119682; 345483428; 76486395; 542624915; 729832951; 627251279; 649812672; 184370589; 157053730; 709243610; 382090244; 696180866; 369477824; 382886148; 102492061; 684707506; 224913340; 602411116; 75992739; 849710585; 420698557; 652410285; 531858883; 261754753; 99495572; 133925223; 323837033; 391164673; 525930473; 777121047; 333823768; 511726624; 196385938; 784197560; 113853560; 998640600; 829992063; 199930036; 774425380; 444723793; 951526354; 776389321; 535659766; 412105722; 10524815; 402792253; 32285143; 794067740; 192615598; 661290154; 986010545; 106345723; 559998806; 529041703; 16153211; 991771996; 546224422; 183546967; 631989071; 76728391; 329752254; 190922075; 724278510; 825539964; 157868048; 968537778; 399460434; 316119901; 7589001; 705524500; 665617375; 312358276; 4167642; 581343980; 985559612; 251936668; 596547703; 391237975; 819270468; 715628313; 20182694; 180497846; 129038628; 364873380; 118786773; 909982801; 45181090; 243557936; 554794750; 101652853; 757743797; 136751408; 38267970; 732787105; 405970048; 889514555; 849105395; 270925089; 317452428; 89450415; 687042506; 233277425; 880223040; 569755351; 749486077; 933694476; 301382664; 454115458; 728346916; 451703011; 556172336; 19877651; 316093171; 587432460; 133324154; 657523655; 42688361; 360546394; 449393501; 613995171; 571196314; 901614861; 639573878; 77349289; 495337193; 969649037; 202513603; 672157887; 830099718; 380877704; 866906967; 331917420; 792346620; 587938437; 971813366; 464190622; 411836621; 661063597; 41664394; 396145135; 623571044; 360190628; 288298808; 788615365; 415987607; 991387253; 764089727; 870838261; 957499768; 458466670; 886243004; 23236655; 235070105; 993474782; 716608890; 332312335; 47651154; 627739550; 196630730; 34357483; 437090054; 920400352; 209916681; 83692890; 915373880; 155293625; 701717274; 791079666; 125958123; 678841659; 129260492; 614710260; 683132155; 272453037; 87009237; 161053234; 673997536; 115263950; 696899241; 229399978; 519110957; 354494851; 928401183; 574646716; 405928257; 197522126; 152280690; 422911488; 722556945; 978071399; 223153711; 734911760; 855317065; 850806494; 653450782; 703387385; 179859401; 218285815; 975935480; 51699246; 972643318; 448171217; 524737602; 187446572; 643095967; 822893444; 3244738; 788736682; 296195666; 433751741; 749621964; 36578255; 102009509; 102346075; 608365056; 462817120; 797361667; 385120949; 866249428; 996470158; 464128233; 488550741; 38139929; 775973454; 951007359; 526667395; 84936915; 228089589; 913522884; 164419458; 89998516; 757331758; 780496655; 726369225; 522542858; 929716216; 145233876; 97580852; 615651945; 759103745; 549058746; 521193922; 80474726; 461761898; 423577581; 924830988; 722505011; 617983077; 352012729; 931925399; 947491719; 810683705; 398087889; 284729079; 596565119; 822816347; 169477434; 261069012; 925081604; 812554257; 4614103; 212781604; 899416497; 692841837; 138502477; 367831317; 466585230; 146488177; 549418549; 414837974; 193506514; 264078270; 497821924; 284952964; 896458706; 240588129; 649012523; 908525619; 235193810; 662645371; 346671281; 386310029; 10333935; 92783829; 603793292; 612187174; 590585231; 691354870; 227682782; 727278232; 96404369; 23108196; 401442155; 924309554; 832107815; 695518370; 530760390; 558513341; 626752508; 497566921; 734338102; 391654633; 82025233; 443282496; 746351896; 927125511; 887621946; 7099976; 317388026; 534047917; 854907790; 242091601; 77518062; 484874570; 96650354; 728051850; 571023907; 137283793; 49894467; 307397289; 284784507; 843563931; 131308276; 480377644; 991765825; 858942207; 414143483; 236283915; 189656577; 469626924; 702210312; 769495460; 365246419; 687314635; 3919326; 184754913; 757548221; 974531310; 645913701; 166576380; 551539449; 280665093; 714501947; 959193732; 827033456; 349423638; 491470314; 695714582; 91682111; 761809699; 893074731; 732336626; 353244705; 447939405; 891427051; 653759919; 926311454; 165398748; 318839593; 295160414; 237473949; 334247876; 3368693; 537592643; 37290747; 178414447; 932380862; 356431196; 995307450; 187116104; 647215667; 896452907; 26634283; 137129499; 117646126; 501886784; 646217101; 336915030; 287664328; 434013680; 652480234; 432514153; 124735038; 411235136; 411602102; 84339813; 344963800; 618361110; 784957910; 456296136; 164846888; 408109854; 610709998; 824138484; 404395936; 505960314; 308662256; 178058161; 530381402; 782256076; 834051825; 70511527; 124993337; 201016071; 261978168; 127505817; 164207813; 930843312; 8864805; 610668302; 650768076; 826655106; 534240522; 413827035; 193505040; 791756432; 683244039; 633489186; 729781021; 73969679; 748475854; 134587847; 373792415; 203902324; 714402797; 162745388; 667972331; 57677526; 527205477; 962720077; 49910284; 547404260; 590063411; 601449358; 348392510; 283993933; 482340092; 644816747; 205307872; 620182667; 82612071; 484982344; 465315110; 698674786; 191001272; 172332872; 946119198; 719883941; 954679383; 914089206; 621924391; 987992178; 952114660; 592922360; 847896893; 485755689; 292189976; 884357307; 449996710; 686277904; 222445846; 544466060; 697154170; 485618885; 506673506; 349005510; 280475048; 907002449; 733685565; 598711818; 689703065; 992194908; 800946863; 478816066; 275228496; 444963614; 387971074; 874601363; 693564572; 643615233; 978734140; 968542187; 800341368; 814136933; 881565014; 478692964; 690699046; 806122553; 143508475; 679207852; 749650333; 304818034; 448882871; 777974081; 19579243; 264876486; 920578942; 950309754; 935341997; 676844542; 461225682; 41039166; 238261992; 597633564; 834674170; 358676548; 959055401; 732568276; 654542242; 20886576; 519496588; 117791267; 519724196; 874417221; 153153161; 393284013; 335225632; 566479586; 898443012; 206119413; 382629689; 62018018; 814637685; 40642256; 838745092; 757079974; 410594683; 127843591; 747528947; 501601498; 323842962; 202118376; 859901510; 995140075; 70878082; 569089244; 647497519; 709827653; 160841915; 380767638; 209585268; 426407437; 996960854; 293342964; 986859880; 388975931; 640288197; 558981273; 785279935; 663065809; 425242604; 795857052; 817885230; 292326438; 439421781; 858767853; 359024043; 563315405; 881886041; 301706441; 665668137; 940406452; 859341175; 610272442; 988650038; 467674564; 595733307; 224670151; 546273675; 26855759; 293117550; 755855066; 659210578; 677409260; 365752139; 809881287; 269353758; 286784911; 94065130; 493661609; 329558920; 349492429; 575328637; 813189738; 446960085; 745811114; 911348686; 304420614; 883891146; 459884635; 717520353; 157581584; 893771752; 251763802; 569248030; 64560590; 841536292; 744184394; 214586398; 546578262; 388198097; 587950015; 533409866; 832476678; 732092697; 345651724; 934405230; 700869871; 227490145; 351601293; 220154561; 355146024; 638611050; 332163544; 598086612; 805555069; 308733286; 151212896; 724226706; 332307750; 632979741; 842031676; 826395351; 503014816; 689491256; 427548429; 517796805; 626740601; 549773314; 657144462; 776728514; 764310372; 86473424; 537220599; 494007367; 952922867; 300207480; 769883832; 594495319; 165371850; 582182364; 50817791; 83306084; 262064341; 657041262; 403164028; 667547153; 296843495; 989872619; 195911261; 822427183; 966387374; 86068283; 685952323; 122923837; 722238175; 207943805; 289831281; 468111011; 934563545; 294361498; 540496994; 300966420; 56863071; 249927961; 942472782; 585938403; 7550201; 998829925; 358705423; 502385911; 106008357; 133251927; 836416589; 760120313; 206600065; 233229888; 671063507; 260482150; 560711250; 552127083; 575309032; 28873685; 993475875; 939597352; 848547442; 668233622; 790236833; 426699271; 214699599; 311868287; 974771997; 610414580; 983426633; 520768249; 295929332; 96489795; 781174831; 834902819; 127769013; 420478876; 515093905; 102108112; 747268945; 471146833; 501871135; 109054646; 229514168; 680680818; 53742012; 330075762; 458391294; 109300480; 136097253; 82363800; 596361267; 716975875; 792709599; 284220338; 876492052; 562320674; 375011490; 975550889; 445421180; 570337013; 447942541; 916875439; 623408060; 967009496; 125973745; 904021417; 101400346; 41086313; 47760826; 384081405; 668409662; 636733251; 824394392; 886393798; 598016813; 634779868; 312226553; 599717101; 701938853; 286039907; 255040303; 897272683; 523021538; 478540489; 143133073; 198588456; 136458618; 565492037; 950177248; 879068675; 846816074; 814365134; 759629505; 489661196; 935337346; 739541683; 217104154; 304422600; 330846519; 404897768; 124788629; 438335780; 372733946; 622362010; 395722696; 277100056; 908389256; 587561364; 9120751; 390929465; 385976108; 354010431; 944067176; 457015217; 855407385; 79851074; 881296732; 32616096; 629278910; 178662048; 576920680; 826079949; 470894116; 307504127; 893470540; 681329870; 907129424; 958307123; 425586214; 90016476; 287448101; 378762820; 103881578; 850744220; 414306572; 844415325; 993662674; 761368124; 426984726; 572143243; 549591193; 318531571; 732320949; 2550383; 604623267; 695921080; 272584175; 796846803; 167103546; 808785349; 272854035; 435066421; 273936919; 841230246; 380707346; 905040170; 68986745; 937094675; 696789447; 61670119; 729952644; 804280480; 151087797; 44834415; 314140645; 83933423; 871617204; 494749763; 484033978; 408035606; 645739075; 200185583; 878339273; 893449765; 943642483; 141808578; 550737281; 536644345; 495556184; 717343906; 626744374; 12873616; 133256100; 905167126; 584401550; 226617881; 403354227; 495162591; 202373221; 765960397; 646064048; 511682168; 813590852; 354720084; 502385164; 975681217; 36809955; 690333094; 775216187; 93976746; 440092607; 659446562; 409522990; 808426515; 711555858; 690028556; 301523309; 606509329; 880370827; 264064729; 638588496; 561106769; 539539705; 68273130; 561642729; 204204146; 342532754; 881873860; 45494865; 803713598; 824282473; 109062202; 48901013; 350413683; 519689542; 27230520; 885157499; 740267704; 440003074; 178568044; 649203155; 568132633; 776749234; 311489380; 988771246; 295944279; 881001290; 243548761; 961360298; 513082165; 463834896; 47343951; 947723658; 732081244; 410180203; 453750081; 207668803; 396718734; 186576408; 793940987; 545761893; 701746466; 422081927; 696284557; 919060774; 769676310; 203780016; 964554065; 303003429; 907651319; 386023160; 328757097; 258018694; 590624301; 986883448; 357939197; 108094554; 870218120; 950293969; 641049262; 319228397; 556217524; 452151101; 179377562; 624214720; 810736880; 557190247; 961863974; 291938490; 551923228; 959582628; 953015935; 881058724; 168471452; 34308296; 951451402; 240488108; 780874430; 672763304; 423475882; 815369973; 608616037; 434612635; 470469841; 559528420; 719190777; 569827245; 3093322; 138693159; 568075277; 333456204; 536005810; 666811610; 524145355; 723600196; 863088555; 809297265; 406650672; 533372275; 565168285; 143005290; 269012459; 326934265; 650641532; 948825463; 556401059; 792020380; 933092247; 117536478; 317599907; 741081791; 727165800; 839107842; 364438638; 829863287; 178330998; 675672730; 572780192; 232485594; 929274198; 456335362; 726893119; 648087573; 320322869; 681637551; 214349514; 472740291; 368217359; 845009454; 81824153; 44802543; 565280555; 895820097; 99224231; 444333746; 17019458; 268946923; 306356391; 36885376; 164839576; 422870420; 970738560; 289910913; 583938862; 31105828; 314499091; 448169787; 639773253; 655091467; 363430765; 508577760; 840370578; 200837514; 757601657; 905220815; 411142994; 817760242; 653318826; 589525873; 608418728; 351278933; 660987020; 201948623; 663565659; 636424702; 925676477; 107852100; 428590574; 103432586; 142886970; 975697402; 721371312; 306056268; 956463846; 973137093; 429260356; 400504401; 466788511; 449935707; 736416123; 937302262; 740939118; 351101897; 442814562; 871336807; 223454476; 522289154; 288575316; 491856821; 116716045; 690450781; 710265214; 805555057; 30695099; 327118577; 946790109; 23801545; 516939602; 289053761; 315952644; 579924388; 507451226; 485271375; 381160949; 125085623; 366845689; 367961032; 314286400; 710639442; 772332801; 156424426; 196563861; 217078283; 835411446; 305768609; 479720936; 910052636; 386955650; 578881846; 579975167; 447364654; 779181628; 564858733; 309766278; 485744376; 421078332; 521987945; 615156887; 781026289; 92429730; 138574141; 449658112; 447782815; 410325473; 449454747; 410542993; 721606781; 386286463; 138891979; 963589377; 67798348; 200785858; 450096149; 481571739; 997440884; 616763473; 605170678; 536271435; 364434420; 730277887; 423681603; 575760961; 316533524; 471777021; 819379953; 230399789; 602243365; 35168062; 857552405; 498741578; 849831630; 285094141; 453611263; 517662171; 104553693; 112848628; 763510840; 69700215; 796583614; 496401580; 738570522; 111281736; 666663244; 966107780; 529799487; 836614864; 991460244; 448160557; 673186247; 188117604; 579200066; 898988180; 182799197; 705021899; 374829172; 862397411; 508941550; 33057913; 379365272; 629300732; 214852830; 861531346; 234320376; 495332656; 908699004; 865425404; 487576686; 351557153; 975078062; 296833432; 317315575; 911334946; 381866544; 189994260; 225730768; 819815457; 538192089; 120165512; 906265237; 321498216; 543420486; 265800709; 425558313; 136248317; 510914129; 655789575; 960311333; 115842068; 146826991; 639007988; 682959798; 456704563; 534923945; 164467396; 888478019; 560263635; 185088361; 332296898; 907662766; 886416673; 369288158; 929574506; 813777697; 143197094; 952097362; 948794342; 901334215; 769180508; 185221305; 190282909; 315911023; 264706841; 399405196; 820887064; 463835797; 97957513; 994508459; 899349581; 164236578; 487480966; 368224623; 28195118; 710330739; 782320160; 950825070; 581524481; 373604699; 873274205; 933246634; 675540482; 260334961; 147118615; 654212760; 767466312; 809154662; 641838354; 595367271; 95043372; 49415084; 434090342; 326791678; 68888478; 802943805; 651114374; 971653756; 567166855; 287884429; 974974010; 251224807; 67113001; 396407606; 571146518; 361484193; 328539510; 839027653; 845177145; 8332719; 838894910; 932115662; 690130443; 434934833; 319468133; 14579893; 925892121; 387319695; 607300412; 433967443; 813974270; 434708273; 923666831; 582254836; 926459825; 109220202; 77279955; 59015171; 522417252; 600919074; 435881944; 808178255; 200613516; 871192494; 643897012; 740673518; 96925861; 703474867; 659939285; 471741859; 970469309; 838907402; 578462505; 148046674; 365406397; 186942896; 316067127; 995138640; 583710600; 91331578; 682346031; 764937409; 921964627; 999803777; 549901181; 598970434; 952477033; 846752769; 342865707; 227543503; 75104690; 516266858; 330043862; 200661826; 950026861; 254515287; 889662386; 131919565; 140252660; 793616894; 673318794; 830575032; 802585082; 89263333; 931150230; 716298391; 913299131; 672998708; 252121437; 720163236; 715365533; 134552863; 566747588; 465280837; 97160520; 286664879; 50885957; 93255921; 829652026; 922808483; 71762040; 771192630; 950485243; 620473233; 820488000; 410318915; 726910497; 171236219; 335735227; 369329752; 795083476; 233879096; 783926937; 787809538; 570394899; 35803497; 281661937; 393644357; 704641735; 899552446; 641603036; 329993282; 34395715; 302436143; 313785598; 900708697; 238214231; 341015835; 656634284; 272841938; 986527187; 679651864; 743802200; 522399802; 649526359; 778746782; 711901280; 358135339; 835216708; 595644307; 643972110; 256724220; 629755932; 439403386; 849244372; 935014405; 595362979; 681101458; 348032087; 412151156; 476197860; 941418198; 480527561; 732798488; 411596139; 569377035; 316526543; 430484122; 31458121; 982521790; 257979111; 650626085; 125631046; 45259174; 791819035; 688105733; 43186172; 879520579; 745437709; 49344707; 535310755; 128374497; 750165313; 989471934; 763655658; 963502965; 365239995; 659668974; 432744401; 219004256; 43236286; 256031574; 81825185; 965878819; 953914867; 919192735; 307812706; 270374152; 836693242; 273132579; 476428619; 161527230; 884745904; 216548943; 301671825; 313454843; 865239510; 529421372; 585951615; 293698417; 930256360; 851314588; 863413307; 286404893; 2195353; 406707616; 438492860; 241408057; 673194214; 477470020; 97492770; 53160464; 105741053; 286728737; 209400637; 650587391; 493200524; 310904043; 738031373; 648494613; 292539673; 879949298; 803609009; 647990295; 874918943; 425921595; 828327756; 905057456; 888898003; 118638112; 386843617; 13560673; 369022955; 194597462; 413863356; 339987505; 506063175; 869674636; 563703689; 467989264; 648664898; 389494728; 184216693; 74673977; 247886161; 391154808; 800354188; 516700975; 538857298; 97633066; 248701197; 289601955; 35251393; 974685921; 207159971; 501582870; 61807787; 566157909; 432800064; 448307408; 139361647; 752172671; 260454641; 702127328; 181766908; 344793957; 406440404; 524778184; 807160011; 487815169; 360173465; 316750904; 246989913; 543431742; 437548979; 152239743; 142456595; 200081211; 147156887; 716577358; 543820724; 543995554; 628148362; 446477120; 893161310; 908942070; 411620182; 43379379; 588034715; 477681310; 579464194; 854716748; 385113602; 409362063; 923031946; 218933921; 469735073; 670024505; 816737592; 326193181; 190524165; 863149; 117144540; 111901126; 557720020; 617224125; 271355123; 984505640; 801074305; 428333343; 996365498; 163736019; 895202464; 606872499; 937100559; 817006480; 168105221; 137539855; 249072398; 876760488; 868254596; 220377526; 301538193; 696807489; 466351245; 88966740; 789894853; 113510571; 304534003; 659538364; 189074911; 828161504; 275137812; 158894257; 14870659; 516670153; 494237227; 548735363; 804981085; 751808980; 700022914; 194823141; 481679169; 580229680; 609577186; 93390946; 753139005; 483368685; 456310706; 967857121; 990786111; 947189681; 173608133; 920043537; 596128894; 339457160; 385426189; 812705344; 56821674; 584027226; 48672937; 751117248; 378031097; 275978775; 548607537; 710101458; 807517477; 433576063; 515380877; 401507827; 460679472; 516482149; 481994007; 676503591; 573678202; 12833184; 515325902; 243665496; 770918772; 273502283; 907047066; 872170911; 997988283; 218847474; 549585759; 241992357; 394586036; 437115919; 298060111; 952332026; 772648171; 755049140; 470031581; 400064459; 485462874; 820936561; 441247717; 331877710; 8600657; 429446960; 921527735; 953879151; 598622070; 436810402; 497814807; 193307898; 6960779; 398875528; 194976754; 375487213; 851622051; 527781725; 925175918; 73188435; 264346529; 905885440; 514638895; 655842709; 385602498; 713956651; 687527141; 766167365; 100342716; 817571941; 284508702; 452855414; 267739299; 562938360; 370791624; 982965789; 517477936; 455461382; 668890931; 731815597; 653744437; 103174471; 207483581; 223785494; 620512886; 883714826; 607533706; 458598890; 447153731; 578770851; 991082816; 409825844; 947313072; 611863680; 641619051; 915527944; 219868687; 884844371; 320282756; 935910090; 723334054; 866420765; 432661210; 858640720; 399012870; 274594490; 619427457; 287114183; 526113103; 117079936; 953176940; 348204958; 330039038; 96649300; 964255651; 76396483; 560049300; 171742833; 753359230; 955409568; 701138205; 106394086; 283109605; 659966034; 203469473; 322067923; 705270679; 527955533; 644508649; 453243061; 334781304; 67161693; 740239736; 845276576; 606254028; 968633413; 270153230; 15609874; 556896113; 473048001; 952026023; 155024247; 8998372; 808878561; 90299280; 256184723; 528969810; 135127449; 294752131; 519091287; 597347636; 484178318; 983115861; 986523245; 982391115; 211087471; 718673428; 280193826; 961685921; 478746454; 622959905; 488452369; 215431500; 475298644; 672808055; 812220649; 129881590; 938263230; 225324862; 551452162; 642621178; 252563814; 343155482; 718791305; 150998375; 522990841; 987476746; 973450520; 13780350; 536636163; 566202945; 469358025; 269010485; 590742601; 490368447; 398268500; 754484287; 680270667; 738144905; 546979769; 891441127; 839618226; 676486701; 534327077; 18410771; 712745100; 439665032; 973998715; 251758473; 107240016; 369514425; 898227701; 913356569; 49993499; 863673055; 102964880; 500497333; 932180724; 739260615; 851220709; 516718684; 884688895; 881837804; 864898721; 898198439; 157092668; 149569962; 84749678; 299212506; 628166833; 347804602; 77971286; 947183907; 954511938; 705491353; 702275009; 245800435; 131769945; 843468954; 286112306; 474536317; 759420360; 506838542; 904281379; 36147631; 48374304; 590613169; 4567540; 846581514; 4218417; 866975656; 227946538; 285289124; 802272596; 569796677; 599551926; 551648808; 401867835; 123877689; 437131181; 756819363; 978030744; 680406928; 439707356; 256161616; 933029007; 460897678; 302662979; 993174909; 752302344; 892740959; 140295730; 259872679; 372022669; 294737191; 379296980; 914479296; 699616799; 678879908; 735798660; 282637198; 892675904; 586857450; 159511658; 259683720; 828864364; 836588071; 915672883; 916968245; 989264680; 383917973; 97063267; 284314145; 777674784; 158017025; 835459049; 377613286; 639961404; 455844893; 367144039; 196173019; 237302493; 797545388; 250759510; 743579771; 686599720; 667024929; 981399332; 60613076; 508281481; 87331087; 322048384; 388881812; 150142705; 903371857; 483270733; 350856070; 276655865; 884448113; 118717917; 556313968; 31167998; 537573530; 181298663; 632802073; 864915106; 67724929; 596666269; 475598371; 623835548; 44787751; 157746260; 223777373; 164632886; 609599525; 341031194; 85033113; 580474066; 13208933; 965498017; 130163801; 647994691; 292203283; 925434943; 102702379; 946728937; 39826707; 574698030; 658433269; 397800637; 704419188; 931450316; 411767838; 366351065; 646336687; 176344362; 191679281; 75556938; 58973368; 3218152; 618316253; 250821515; 313406860; 532623839; 841011772; 223309583; 556155174; 870059877; 243933433; 175211890; 934707688; 780761246; 11359400; 371564365; 673150414; 351175999; 291115749; 38891848; 301962843; 411486232; 516877756; 723851104; 73965722; 974497020; 492180986; 342706112; 753093367; 158220204; 979586405; 577233074; 194508705; 806173734; 748368; 520958330; 244197405; 330882986; 298730479; 661182063; 888944717; 143437490; 967367041; 364803711; 455190360; 690696999; 737051690; 573843117; 358260951; 142176931; 559743527; 318271254; 237800975; 215724646; 857838583; 746012189; 137791770; 458472384; 649699269; 622531836; 406789211; 201621307; 253319713; 275520458; 279276021; 271704284; 125048181; 609944319; 953334436; 195441216; 793939906; 772366633; 28840526; 829116352; 510321088; 64670846; 879689322; 987774; 433238720; 774260444; 425137601; 339840412; 189797030; 729406428; 270570642; 592171879; 804379631; 52413932; 165881688; 617957463; 646944415; 568341675; 108071671; 611919703; 93147523; 451987707; 1607942; 992413706; 655301052; 453804636; 213026408; 118394261; 567118201; 457240833; 222928598; 238578817; 93228069; 421164362; 237482704; 878961040; 41261614; 600236901; 992672382; 611345648; 242618495; 307349352; 597451722; 91873110; 878404944; 615331857; 252748995; 658530937; 412382651; 335465809; 158197678; 877133891; 419957196; 264480433; 529121317; 532657139; 757662623; 658296384; 130633535; 620318965; 758820720; 543594273; 910068187; 133603693; 689223716; 47935942; 103805811; 364895168; 7562600; 326456562; 307799389; 762806623; 101400368; 401428519; 33138792; 295226394; 905759641; 718353656; 976602785; 442118145; 196667033; 873226571; 317904901; 375909392; 893472771; 480996636; 321989373; 531861785; 875300465; 426070983; 547884832; 877846695; 176508789; 865774296; 865649775; 322445565; 648870647; 367921534; 612629197; 589614120; 345054597; 422925088; 651649273; 330361455; 64133505; 174957910; 685448984; 693065435; 80483864; 976471519; 887069055; 994721324; 863001281; 447365519; 771713149; 711921631; 877279512; 22100553; 314695277; 251097133; 169331996; 364409454; 764751124; 250763534; 516226905; 143962397; 624828994; 822801528; 693915417; 478568026; 928241645; 610057491; 141124962; 264059137; 256758089; 101794811; 579419161; 539358054; 345440035; 477733296; 821100707; 638936437; 253148016; 601578049; 394307354; 151651720; 582916995; 393777146; 13646419; 432700597; 993428107; 875316212; 806514254; 936213550; 905679371; 940320401; 829245842; 932730924; 362980932; 618279821; 82340475; 561171162; 22141237; 830173107; 392075026; 941214025; 440381232; 52377502; 119904829; 157354681; 689822577; 849699016; 661567741; 257137000; 923981802; 454285513; 38927215; 181680345; 454437758; 87713768; 280150329; 970107625; 831695693; 484159362; 463304544; 496944089; 123472960; 831604000; 71739042; 153229273; 106297005; 37142690; 963662759; 247071638; 632700227; 966905844; 457127990; 485852764; 113476979; 318276105; 355236508; 76451547; 704898948; 575087092; 163128955; 107548452; 234744201; 243555040; 903182697; 846150516; 483788672; 662660595; 397736851; 49347019; 470250498; 75727487; 182554961; 806928334; 943238213; 285518270; 481445966; 318078051; 950980460; 718422139; 140108202; 794006176; 245252443; 465136378; 680181836; 477929664; 316579067; 854371076; 321414839; 17700762; 16408800; 691948880; 412827872; 224778154; 474907217; 271227144; 839429554; 166326684; 318904342; 607894826; 128918784; 504844822; 263628223; 798306374; 982777833; 544934058; 109100343; 308419483; 65305083; 747110157; 241876360; 138328203; 64527473; 996606751; 466036867; 105341835; 607336865; 610397061; 536506380; 916148715; 712623038; 317971675; 66178585; 975227262; 971884423; 260482022; 929041781; 172666494; 128979462; 952743659; 546369495; 968666262; 190772628; 592305700; 36608007; 252862205; 403710188; 830991188; 247670400; 540238133; 478799614; 121339973; 487504370; 853917198; 33756563; 361211150; 955317848; 982057642; 929985389; 719821202; 966852668; 854518984; 44072911; 113099323; 489122972; 564888685; 782228354; 316941843; 967587793; 176094958; 972061015; 286448925; 878827714; 601165015; 79012603; 608884782; 568444368; 370316526; 403886558; 47473938; 233041528; 290603434; 884774420; 190565495; 891557315; 18294026; 324295655; 717088952; 145845242; 184190531; 258272085; 518258612; 665321656; 505198860; 789908896; 725918546; 831706171; 49662920; 332359094; 399589219; 995901752; 400797353; 279087721; 736899154; 242414293; 188850743; 967181857; 3566564; 869418591; 385828372; 559465968; 384074028; 217187641; 754213738; 301996045; 901926994; 368159305; 86644611; 481383651; 545833600; 634039019; 165021260; 680472418; 823426663; 804756391; 483951822; 883605273; 671903498; 406103228; 340279543; 291165199; 328358375; 730959671; 981669752; 783065460; 835459869; 625918879; 451260650; 560399166; 978114792; 96547748; 397797194; 336190163; 692959665; 432027731; 135333392; 369624994; 219280228; 781754273; 300980847; 327819310; 386250264; 349925829; 397786077; 23595725; 214821763; 930579782; 961827542; 417158549; 757115662; 475619185; 66143066; 223493609; 820039299; 229484430; 863784690; 280923827; 162130527; 905033864; 422369748; 644068477; 785057358; 885379637; 646477182; 418656779; 505056782; 727053873; 259226312; 972453671; 117645710; 382508016; 771973663; 968666011; 847467700; 913904976; 183329339; 450162823; 46566130; 699623814; 332717611; 429775125; 534492651; 962391879; 443231580; 258986803; 381592242; 425043963; 380220176; 767203673; 538467676; 586131243; 697520864; 7568165; 229823841; 902381948; 101302039; 685515168; 473475665; 201713009; 254193721; 123586217; 41439893; 965066407; 899403604; 996800382; 109383056; 158585220; 813868937; 65000896; 764458233; 197973089; 893565574; 370933566; 644033819; 853856107; 204819348; 676506848; 811855744; 194554913; 446421233; 842016569; 568974301; 72574602; 853763096; 785951003; 145650361; 128736890; 929902038; 957090421; 558068622; 606498352; 56944947; 16347504; 641463994; 623693696; 764936442; 206148511; 712168923; 57965818; 51072578; 30702425; 576003802; 889902327; 604780073; 662487020; 983447369; 743171873; 759313901; 50280522; 801558525; 947491471; 981984837; 241357782; 963287805; 435647602; 458131266; 373349702; 610583246; 699352491; 491475352; 417383272; 804799465; 236137423; 452141692; 969126621; 502606981; 584458011; 694353581; 329123065; 413968878; 370580720; 266740800; 688378977; 290283256; 901799705; 861701845; 609179885; 312462770; 150499657; 41495472; 681706504; 998810702; 960418947; 630022640; 204907115; 262648082; 959257353; 613662887; 272117135; 415292654; 41904193; 822169368; 273788879; 723468938; 756079640; 681147777; 909467445; 55303267; 566432645; 301657081; 890620444; 852725669; 272074481; 898442665; 358730533; 632984774; 669655580; 437799276; 442864874; 724657594; 81642203; 295212280; 704714265; 528250379; 468658748; 319485637; 289109633; 420826795; 802571131; 333089160; 9105168; 121804180; 277349377; 809611190; 637825551; 810155749; 781244279; 708121069; 74844781; 85845403; 174947523; 813995491; 554729; 487724406; 969261886; 910070813; 315810447; 575859816; 259540544; 339189421; 794153639; 725332850; 741959802; 874531680; 625018533; 807923706; 1016939; 814599856; 662249010; 422331290; 388845287; 45597134; 318055390; 520227459; 375860611; 279796235; 148019281; 954531613; 186203250; 154620612; 731086901; 331526642; 40212927; 517139381; 313868984; 622852872; 301699838; 959898776; 81775147; 716305797; 91445233; 231891111; 437569795; 650094342; 25865053; 252697830; 279844433; 865882161; 305677417; 972107840; 839714624; 756774902; 663867140; 236186007; 513125379; 813287956; 909221992; 996396975; 458162908; 478669916; 944980147; 229426540; 338406906; 116339799; 932287331; 598131187; 739367745; 998051224; 159257502; 197887194; 930433391; 250109854; 300534137; 387781246; 172780670; 995506495; 194850789; 13966488; 653151101; 529299935; 785822554; 376967092; 983891666; 910987948; 37473641; 750585466; 719968498; 952315449; 30248919; 915945047; 79331976; 6918658; 524430326; 307608427; 40322164; 828284607; 410477063; 491469487; 575433063; 901918558; 866377867; 694128078; 398492071; 662052770; 61475445; 13518324; 234815923; 936267218; 383138505; 472898789; 345311002; 474441895; 299912571; 298349142; 459152484; 798739868; 74894701; 601682776; 48847280; 262229010; 626968119; 280091036; 888899825; 848751558; 947289800; 493773485; 103011530; 193019276; 273733572; 211990864; 152009458; 895425003; 629915013; 848564795; 41479083; 595616871; 75526163; 127211841; 991549626; 136486090; 783914822; 19212538; 334961074; 389126353; 739634777; 286679433; 221771713; 353811064; 538694278; 349012859; 601934822; 319401303; 872350995; 948077345; 780690008; 63767061; 687514777; 262571454; 540191404; 427269317; 407805; 521770570; 238985751; 632981337; 191894833; 954183090; 626556382; 612561129; 486447371; 325705168; 211887440; 161272634; 863360122; 925808813; 907724102; 664364632; 621258355; 689738325; 970390749; 289107741; 968907607; 386664108; 324407786; 189214202; 94612769; 593540865; 818396722; 254777408; 66691030; 834792830; 966296331; 173098037; 303149574; 561165641; 661186855; 841073977; 667171481; 781289985; 299363357; 51022632; 202052501; 26016979; 578175746; 145430618; 652713007; 471261297; 772450324; 784999729; 577988244; 67890273; 741389201; 118465541; 6050095; 342625702; 919884813; 253709131; 406017492; 845663064; 642741056; 657956728; 163205371; 959937828; 700319548; 851518414; 600022558; 59707662; 900916714; 304155974; 186408548; 447687211; 38917455; 667434628; 827202270; 394995313; 887970090; 496729829; 913606802; 774537916; 243516441; 288139983; 648316709; 874569150; 12359921; 258576758; 10470075; 142644236; 751349131; 789374808; 583619371; 28855486; 755680848; 482495919; 858044358; 965621204; 463665465; 160139927; 254576513; 3137613; 682370755; 863651484; 254083707; 606659902; 124617064; 526697937; 415206917; 927615905; 345783120; 406155363; 88667915; 564652937; 452668074; 178281423; 648198353; 43755348; 619453515; 52059752; 597836585; 769189848; 612453815; 598885316; 225595299; 432050619; 86706456; 156089499; 780935774; 735331951; 464717825; 235545049; 904783686; 712028198; 260692842; 98425338; 708548297; 539306974; 183093098; 876238134; 273623239; 268052704; 402230585; 295585367; 136393737; 159430223; 838742875; 66136179; 865967320; 128902827; 393184743; 271261920; 847771598; 422915902; 309622271; 823500218; 750431417; 555225771; 535173550; 187718294; 540873787; 36188775; 627630638; 698226492; 771685991; 180591225; 253185367; 663333008; 934005090; 989720905; 397568532; 332281166; 323438160; 590369488; 701385518; 125043879; 100763482; 740685005; 174968061; 193406147; 782576920; 425146376; 57774011; 801434431; 259065302; 998444973; 531249774; 79513070; 460945026; 386023741; 308675594; 624033198; 288844530; 223862878; 767285952; 775848095; 760544423; 149206424; 653926693; 806088; 973654478; 356310954; 310683711; 552031652; 657320302; 502172167; 317078379; 912043267; 426454236; 1525211; 972505356; 123243739; 305733203; 302837337; 112216714; 478046820; 811350688; 346440555; 880333732; 88600295; 214354380; 752630263; 476239915; 369268847; 109018340; 937609199; 216510085; 70779970; 912585285; 555923233; 244378232; 580137846; 428237395; 131250989; 542770151; 528765499; 257549549; 279480697; 361350456; 569874965; 778742353; 131198130; 220391377; 890988791; 266179110; 757366602; 894525444; 632264883; 976996481; 34168160; 770666346; 14913825; 699198648; 145539675; 347831319; 387549936; 360171497; 704466824; 369032493; 525472286; 655311528; 13831945; 477525173; 72688342; 430823182; 399852477; 151427728; 90651225; 237114877; 738051275; 339214329; 882866547; 260578702; 52265072; 438937738; 465177540; 476887776; 685094257; 209749737; 597179396; 588413973; 151115073; 571344897; 193458025; 740492759; 982231666; 598757068; 335058294; 875262949; 972568489; 357178756; 909058372; 998165642; 95450196; 954093196; 507210548; 826485751; 507555160; 882023761; 946059965; 335671275; 57747441; 679491626; 260964931; 619028054; 765488126; 793672520; 265282067; 211080148; 228306876; 855969708; 97210537; 628871705; 458519333; 446815272; 940666410; 530840423; 275928775; 861687702; 516814285; 532619015; 176372071; 31622202; 69014999; 494778071; 518374110; 818922717; 335125010; 324754357; 249928610; 397269981; 957760055; 59590883; 980538640; 169766809; 478549851; 742793553; 272172360; 817652701; 378450331; 314452383; 212632586; 370032194; 862925085; 839775596; 401038312; 765882590; 25165547; 409081185; 758717854; 29323144; 802113406; 619335348; 670187597; 432992764; 842300893; 451190819; 543777190; 955899663; 167468838; 911305454; 943898810; 429047069; 870305674; 108945073; 375917020; 157236084; 269449257; 509246236; 623982958; 152174729; 214323077; 326196592; 160257757; 347196106; 427685579; 101980047; 148361038; 162482083; 397455571; 656528552; 337869993; 332644833; 951987822; 159756238; 911309883; 445389380; 53561727; 389885080; 892891025; 615089903; 397677586; 826739378; 597832725; 820872628; 92304719; 974260177; 188145987; 496908853; 652170816; 442522275; 135927893; 78123716; 184120078; 184137826; 933891864; 154815712; 976529142; 996029324; 364254469; 439608844; 813275602; 402508956; 93046189; 398679305; 185801436; 212295926; 439035545; 347505648; 983238079; 531951038; 891923807; 374326942; 15383427; 269669111; 253280873; 743917086; 24854336; 937583156; 413136149; 605154802; 676774715; 234441052; 377327301; 116490810; 324311745; 274836385; 459002617; 642516882; 551396111; 999882622; 68450921; 1175391; 993786840; 466454106; 632627337; 677853710; 46385419; 766606653; 554175716; 195409438; 800676227; 998397981; 603943619; 455388781; 796053487; 74531244; 750692148; 527969567; 15571312; 675420846; 547105516; 614303552; 867181126; 118961158; 254387999; 997958504; 141355567; 792788923; 195849658; 139015753; 186702814; 917327862; 657267424; 957504120; 791970733; 391916529; 104634974; 21408071; 882177415; 639306152; 85771927; 145946594; 502658797; 84541966; 6037049; 607214057; 892819474; 381942649; 567045503; 982239196; 536589177; 413343240; 646834247; 952516105; 815609737; 73110969; 32844520; 690559674; 485839152; 270935012; 837605968; 930228322; 648048461; 262494; 59563011; 155651427; 602871424; 271981151; 341302491; 393093646; 347279617; 780965491; 407384524; 371554884; 98929662; 461255312; 978259876; 480744698; 224461704; 435067194; 887615803; 567271624; 803306762; 665097394; 673323885; 836951559; 680647204; 682723396; 558406523; 947807862; 950256734; 674056879; 279729097; 839146595; 98739001; 556215231; 481665717; 693320682; 756390517; 243299690; 657060868; 884378811; 524717438; 452407484; 58830953; 300892817; 237906350; 195229497; 803119766; 655150059; 941488260; 358730238; 371764031; 832355827; 23839303; 207738227; 16373697; 182385232; 380362034; 512306434; 894095701; 567218130; 192638973; 197385856; 242273426; 422060930; 927336265; 882999313; 85163850; 90610765; 33516238; 776923674; 671945613; 767518373; 860734720; 513009892; 472622396; 819011033; 211774526; 855935661; 421296735; 54833051; 1416094; 509163150; 50750086; 339376333; 365461760; 591744996; 442439639; 587598543; 160213172; 34913210; 249568549; 914294680; 894468449; 837470852; 494512780; 560807828; 276349974; 260858355; 544586482; 624530253; 849676050; 35894795; 427983737; 634172670; 273198955; 461621948; 113624766; 205576139; 782246301; 757272230; 842899237; 905693435; 700009439; 591057257; 189436606; 641184817; 587002957; 463527400; 403404023; 402230310; 38604363; 262577276; 405489435; 357904488; 993262554; 865360593; 491408058; 876957195; 311669384; 136847160; 574403364; 180979520; 987273841; 222568585; 699944150; 21794238; 895981287; 680683489; 488202442; 136390356; 536222139; 65700491; 78705970; 554264708; 800700778; 877949733; 936619470; 591954633; 79930816; 232205499; 37931336; 179217025; 305784357; 196364163; 935032428; 552372894; 509841874; 711591431; 996630040; 642916; 198447071; 915387142; 385230643; 426677354; 179661606; 666228106; 281381972; 21429528; 2191402; 295070217; 607871566; 521848641; 275787847; 653311201; 648284498; 967871972; 903775523; 105354847; 569100761; 822251904; 275538852; 817375763; 572291096; 118333166; 608263793; 498534249; 919601492; 471522834; 259782980; 334129544; 456851834; 516704059; 471048481; 126884638; 30081818; 558935040; 583999555; 61163733; 951959983; 878291251; 499057382; 343314917; 994473755; 764749508; 83074152; 255800380; 838086053; 778110962; 998662202; 417771902; 827436248; 445301100; 271108584; 958805228; 913987415; 249598684; 555368814; 126805845; 311277480; 73260345; 925419810; 165617237; 667438706; 773770039; 337277232; 831108292; 454416114; 874855177; 441074449; 906486196; 782284609; 295082215; 190072540; 121569484; 496608056; 642677391; 512247467; 873809389; 786633911; 102873144; 741263564; 769060751; 627628656; 139637891; 741475920; 426381493; 762813552; 394760846; 593805238; 691291458; 513182619; 327390967; 816275818; 462583724; 421047168; 4215878; 21775094; 532928014; 349426192; 970410167; 188617352; 817169677; 688570103; 718024792; 282214936; 317892068; 114773345; 583410508; 739470781; 94259673; 222912358; 738351720; 539132037; 39110660; 313825975; 111631432; 930240694; 799716896; 37829409; 90700055; 765040251; 202940178; 31774394; 843145447; 53574577; 613865045; 170916701; 740673169; 66242574; 447994721; 154332620; 241825115; 221628267; 42426927; 295021729; 187970787; 199337830; 511017251; 609990874; 187911787; 584799814; 306857594; 18098904; 642531198; 779530001; 122663809; 945498313; 358155409; 388933963; 280750065; 453524674; 361745865; 311474775; 21450966; 400540171; 945495115; 466756739; 334373940; 12551322; 831392833; 766253952; 69538398; 858018825; 449528783; 947166417; 49062715; 957112193; 428920544; 723426839; 505318870; 836263110; 861684657; 34751022; 548529387; 108983646; 251654221; 497438877; 378555567; 599603889; 686154590; 201411534; 273011910; 38224192; 778627463; 782893383; 661223512; 246845715; 621158987; 120250031; 38693343; 418418530; 265971666; 734449581; 465850256; 429076292; 552575684; 747114073; 655379359; 978748955; 344425978; 641850087; 878812392; 460399252; 504818791; 939041896; 530873458; 571966528; 947544044; 397643361; 889040140; 827855632; 107802721; 137555469; 375116253; 226267054; 361691180; 630946265; 295389486; 875708036; 321513361; 616054935; 161133240; 61648419; 725988549; 813232915; 652535669; 365046239; 897259434; 959336119; 328361321; 396973885; 71397766; 581117480; 489869662; 460992716; 917971209; 51184201; 690159198; 940767627; 973124740; 265477103; 56609201; 469731120; 967549345; 977409499; 30294318; 796423675; 70708268; 104452036; 121343816; 940465673; 625350932; 797652177; 109187462; 746373726; 705459831; 80487522; 855767497; 942139863; 568910441; 895048574; 700590502; 415404273; 252217289; 94055450; 874235040; 122183486; 968016460; 968614878; 828691592; 254812248; 523490646; 130727131; 459286199; 309967067; 833390190; 220402695; 511094645; 220300093; 268174725; 215845968; 488623676; 389256368; 138136913; 836426446; 275077522; 264633042; 858862295; 915566835; 214320683; 349513725; 86088675; 526247205; 1700558; 893993001; 841981939; 715256704; 140563385; 631019443; 698068815; 231899014; 111686518; 199655514; 540424465; 531214798; 267882778; 784866455; 799347117; 353588410; 971786551; 156430187; 565553809; 881876002; 331880225; 874832854; 511205301; 562763196; 923845265; 330271805; 60322815; 62502709; 122414205; 632820266; 405262634; 425725055; 896024188; 348400951; 470749323; 976671021; 824936190; 939001425; 701367300; 112163366; 933483820; 971535286; 283400354; 233196847; 403610942; 219204911; 71500414; 848345305; 352782827; 898523232; 91443117; 889609617; 565883503; 448977602; 118249615; 808569208; 625833554; 127672920; 784729794; 644993716; 810757642; 512950813; 519619492; 8568259; 887384931; 231353434; 922985111; 747386311; 809094756; 911512113; 759298643; 46077263; 929973819; 499857545; 691351502; 678348757; 536348909; 491359820; 351274326; 789957387; 409753268; 844615730; 91931982; 838875162; 257831421; 386366850; 494492965; 883904471; 388612395; 828568935; 521117244; 434355759; 78218608; 98904475; 91001285; 163101649; 774830410; 825536780; 473268970; 886616187; 44585408; 672761234; 531154845; 971312894; 42201937; 374104877; 217729653; 130610711; 781051513; 637073473; 164601516; 976702498; 79686152; 296832558; 510366757; 927991689; 385958478; 371563135; 786213492; 711428392; 210238491; 13745017; 217103950; 820921427; 217787485; 380017179; 347828973; 439541232; 503462259; 456307830; 416940005; 426211136; 326200475; 177568034; 967198783; 114296696; 957169224; 293349105; 747394558; 154211810; 62410548; 806143565; 52332520; 377130911; 977261652; 435871599; 407508034; 73674120; 139382365; 148706460; 879606220; 797879289; 156369444; 339462214; 523028992; 324632342; 464689503; 197567132; 58905185; 421193436; 796330951; 982358570; 310473646; 265066471; 287988234; 291864971; 315960951; 366067801; 506497255; 547385666; 971493023; 338560962; 122370536; 959160777; 357941253; 9434272; 830153306; 859341283; 937973251; 49370531; 521893201; 903786626; 790399646; 894276400; 903222513; 685799357; 358065184; 181291136; 774917506; 885888507; 224879640; 627205562; 825355570; 293006912; 360617824; 423386310; 722949994; 474239002; 587027227; 73018378; 527152439; 2364845; 300887166; 763586731; 539088422; 915295637; 778943620; 211892412; 261581172; 780254877; 73258932; 833103048; 807528799; 788659340; 745015038; 175249943; 567118538; 848857792; 15861337; 872461336; 554173529; 60780917; 903022017; 730173290; 911355463; 369478815; 135315569; 913642887; 561167237; 414861934; 838117083; 558130852; 888336283; 964857226; 670688658; 603097383; 822444638; 730055488; 890136457; 321344697; 594520233; 614676708; 684584794; 450172507; 759647440; 795300852; 496345923; 23434402; 171265437; 696471192; 484926459; 130474058; 886921116; 978962903; 75304233; 83144210; 632235419; 91052314; 750626304; 305613920; 552055828; 844058303; 638360532; 844024437; 725493496; 152620754; 388529120; 379227534; 537023216; 881387373; 51382411; 179635836; 213610630; 544049700; 986548874; 373327268; 740298135; 487360185; 356946053; 973810594; 575704981; 372815408; 837954179; 888163710; 859437700; 439957356; 379186882; 425572734; 17151186; 471190295; 807741660; 878693668; 530412915; 321590759; 568236824; 250190458; 955609897; 611008215; 92361195; 164029717; 73685446; 66523665; 506137498; 402586347; 818453749; 513730788; 425844930; 581093945; 186626107; 881906527; 572206979; 953820917; 218623244; 667593159; 730230499; 82022003; 276863138; 259288238; 871562639; 309774004; 901574227; 272803967; 986094813; 313719478; 563782200; 550321319; 974926430; 51565918; 680528207; 598928758; 954879289; 454367651; 89217175; 426272620; 528609468; 356339537; 882946011; 541155220; 910403347; 679182531; 789987651; 769268709; 545586281; 260932373; 953901399; 614243501; 265665124; 522158120; 93508886; 217809415; 373690731; 59394985; 322524431; 218070480; 348413551; 190872799; 795741345; 18304232; 30981280; 161186209; 93764158; 742293354; 231016397; 660996306; 879905982; 295603817; 803417050; 800257962; 645705994; 51662926; 489770883; 348800998; 162219632; 306283154; 993959005; 458172277; 292681888; 621100450; 55953959; 277770324; 768080358; 388918303; 508635529; 147204371; 653757323; 608212216; 488155246; 905442431; 269819737; 348135643; 802721705; 727538620; 838869694; 768846325; 72705567; 2917271; 156586064; 558767351; 46099501; 73129814; 201208153; 319867050; 668413395; 149807342; 167762847; 580923731; 51579738; 483011118; 729358604; 878049390; 35995329; 633140146; 961892000; 557871030; 178741044; 700471875; 679023190; 484157946; 698010337; 900991985; 109342881; 874920003; 238435832; 851197205; 315562463; 618815599; 107603440; 916956036; 740141927; 114643909; 568596525; 134475127; 449056364; 382120449; 979201285; 150289259; 170928417; 459364641; 385272422; 176618349; 901332432; 251464096; 606114608; 78948602; 675737703; 586291298; 318184509; 201557694; 627171010; 981175079; 942875884; 79112814; 11126652; 220746187; 860661751; 535105527; 285652218; 924014055; 886913577; 651521984; 487467879; 860854605; 208189453; 514330753; 282248253; 346498262; 899115750; 964797665; 80112349; 56718332; 241434680; 390615064; 15992928; 768775700; 771453997; 730314942; 187806076; 127859046; 579982129; 999035537; 284408078; 486947377; 265189729; 245302679; 582234386; 152215567; 93626834; 20140945; 253066060; 781417035; 722912618; 510676540; 700434291; 265335267; 80019467; 138137745; 786921628; 855442313; 545371378; 966986296; 43926316; 965220069; 834131258; 694586307; 955270213; 64571830; 428858967; 714250637; 875937365; 721103773; 743266500; 410974686; 841738982; 721718392; 192532226; 281722487; 980628386; 308122101; 346455837; 974901010; 871585719; 403486615; 288011484; 602675127; 502159124; 428156069; 161132354; 281841246; 108137019; 799048156; 181804317; 56058428; 760466481; 863672379; 570422177; 535651742; 940764013; 73742745; 46691152; 767431245; 75782565; 580992610; 235798661; 528362502; 361433951; 810916148; 503718636; 147124920; 784609103; 250773233; 358579612; 136893555; 290762904; 539894506; 356827242; 468478938; 234308605; 764451582; 414990687; 359103975; 607817419; 828868724; 625332183; 746125268; 847896215; 249649446; 738693481; 307223826; 900080935; 371915368; 19934399; 459081657; 122924506; 981916796; 779833178; 972858689; 666949399; 358396149; 985306500; 642696770; 702670415; 159745706; 907509139; 773432631; 38103458; 239809570; 851530440; 405843614; 251018626; 661928953; 926050372; 957056330; 959840395; 323285397; 924207971; 992726456; 138495836; 452156222; 67332393; 765743835; 111967099; 342543530; 40394068; 441185389; 838389071; 818485865; 627680886; 30537274; 955600892; 916053492; 27102407; 823045200; 826881383; 774023529; 250054422; 494135371; 695497413; 275728531; 222546046; 423641123; 422697817; 870331817; 129090800; 710165049; 314261885; 85657099; 278457417; 631018571; 527536213; 167710262; 297061627; 595658186; 906356203; 996739817; 774718967; 569092555; 917124190; 985872029; 37854163; 597885816; 76105975; 425232593; 114620617; 496361983; 845543834; 213834730; 772362164; 940157357; 457095306; 875201413; 949362426; 619157958; 983650259; 918155649; 414114875; 446099734; 229926358; 618805821; 681785499; 680434040; 303063948; 518379601; 23957944; 935436813; 400803950; 727262787; 855642325; 426244346; 244149962; 899581461; 416922029; 15130327; 954137168; 196215227; 216069713; 285011004; 716815089; 759246963; 141993273; 603497766; 689237214; 198417373; 630592492; 709464828; 387786543; 373690973; 388099666; 601225061; 242444525; 79697603; 850145602; 919992347; 473272416; 129208382; 669091583; 199905613; 165914039; 950787160; 456444556; 298768092; 891239943; 871414129; 873923941; 217453204; 934666286; 730565127; 748390764; 904593166; 671477325; 751173496; 31455102; 913359282; 563702548; 763312441; 636497600; 443242973; 407868989; 801959305; 357268029; 785182063; 776929735; 245163613; 53463168; 729059770; 844784893; 982897964; 916042548; 684234056; 750295903; 454213989; 958557996; 704123155; 124773408; 747789678; 624361752; 203383649; 266160873; 532074552; 866449339; 196304148; 695132716; 877603942; 125601734; 349087002; 164475724; 738651033; 673671540; 146685989; 336102161; 817918988; 759423881; 898490938; 267782873; 349207092; 409959242; 174903716; 875233705; 644587668; 107258446; 807970494; 575098468; 567864876; 814860164; 812145023; 73361276; 128302090; 582760503; 64362997; 293161538; 420446532; 753739370; 749024856; 440921868; 695372138; 530355028; 137157144; 299698708; 304762186; 266852379; 259997081; 335960596; 295651483; 75748580; 813995633; 624583780; 458780768; 704058007; 967918318; 976948501; 345235104; 580762717; 887268490; 621596015; 910128015; 501969879; 334591172; 56951730; 486417821; 879739185; 228912463; 507461977; 268337507; 822948650; 88344354; 292151959; 579711582; 645640875; 522205658; 69453717; 842341659; 839432720; 858159750; 962943188; 658785855; 791738287; 460820562; 442121645; 833144297; 915682199; 157243110; 698488400; 757297069; 969228484; 634692983; 662470068; 766095008; 99762503; 568209873; 873156079; 966679164; 274972511; 999935604; 421388279; 284330122; 364007550; 148652805; 690492643; 84045000; 393911307; 147335081; 55893709; 779866591; 513227205; 802840675; 345469386; 849948576; 67455147; 793223988; 440569200; 414141978; 192138225; 694196607; 809634686; 226721255; 6937929; 477953755; 320585254; 584216582; 381489894; 504128766; 142182045; 293374683; 75852730; 765165325; 173790671; 24148504; 381907510; 738301828; 77301592; 263544094; 600167459; 441423330; 472756510; 438669301; 700297566; 332243535; 838404631; 605435919; 297760252; 871143030; 760575336; 749352903; 283154789; 530354052; 597474318; 768482466; 457816017; 785962416; 512252352; 739598308; 761673790; 211464485; 364803929; 659785789; 216530272; 308039663; 72328488; 656539167; 515927222; 275505151; 476315414; 438508579; 262836591; 889507418; 21718498; 170484470; 422706660; 234801896; 252382185; 509700794; 56092078; 783411558; 471942916; 488673025; 306752017; 495392329; 933541945; 995722700; 81166867; 94300972; 416010790; 491799027; 486566568; 333195311; 788569734; 213384988; 628689339; 362965631; 209614483; 736342462; 61918932; 42407847; 387070428; 684670516; 708537529; 691427860; 972576235; 460882302; 135671169; 678579303; 526400524; 82332336; 228285408; 421089488; 530519348; 35126611; 799392197; 385903608; 165481988; 347953446; 923532436; 433558842; 37265955; 945262965; 587945162; 543777200; 384142225; 214670210; 234138698; 260372135; 11357265; 675280704; 888239589; 146709428; 727397867; 356139670; 296787824; 432853592; 214221713; 581773141; 689508395; 882785628; 897365028; 965669867; 618288713; 784103326; 987054639; 691301706; 280974678; 467670; 567202589; 657835403; 225668959; 231794114; 470934033; 463418767; 892930146; 488101996; 113206014; 532335697; 330093615; 833839900; 117267457; 140035313; 680525048; 668786912; 357856772; 713191217; 889032634; 715732963; 646389460; 776160849; 169670459; 991672330; 700603581; 608333509; 233284725; 322146922; 983995544; 856789200; 227702190; 170691724; 470785192; 56302081; 956479399; 695575446; 523382368; 161377338; 78306686; 384039744; 76977749; 876297715; 11932850; 643114007; 702849735; 260061758; 573509928; 283021639; 369423428; 153846276; 882015393; 109476902; 700993311; 428018306; 874542293; 945778675; 912017653; 471026903; 28636787; 711856860; 488240871; 303220911; 251221550; 819756752; 236214049; 326478346; 281787335; 203751404; 18215784; 778628237; 181827839; 833223129; 686511336; 889260557; 729991206; 594757393; 442206721; 273864083; 384515331; 498547703; 43893904; 369354027; 276435734; 638831430; 925423903; 169244447; 713571854; 299793714; 983123116; 6137572; 309244051; 947922421; 524362359; 937839278; 575359983; 232557369; 549173814; 605540478; 717738697; 573000968; 278461952; 779167530; 908713614; 254373222; 69042323; 446070331; 152604039; 211148618; 756713835; 225057605; 805558514; 384757371; 144290779; 130318371; 265027278; 455143480; 45266602; 775642009; 963732204; 654266367; 970497697; 115382794; 696780322; 398234479; 717278431; 39511188; 605472602; 383930491; 251295223; 953190711; 224443665; 129139683; 789728038; 34551920; 181054167; 440385937; 504523438; 110423967; 70296556; 560697036; 153648088; 63465732; 276720061; 561743072; 783292620; 433499438; 813231545; 217668702; 222015669; 799037663; 532469458; 67418169; 112908703; 979712956; 498170560; 889325879; 586355132; 545873908; 923848961; 41556268; 16719790; 765934070; 481138422; 302165970; 907445460; 433241265; 361828344; 848113380; 10725932; 135348035; 300143467; 977403649; 211486864; 996581724; 857308411; 30799664; 592384025; 118291046; 862606361; 813197625; 154198508; 521000208; 63418145; 316042241; 905265785; 615144761; 399982377; 221692047; 146591014; 996230327; 140733252; 669617502; 436236718; 85439385; 264640272; 294214873; 473522066; 349159543; 978310929; 587017871; 157116111; 244805985; 713087973; 604138936; 917408935; 767545133; 735962944; 501309183; 869698117; 374047213; 284729114; 274950670; 184467706; 632518228; 921051614; 908329701; 127291830; 744000609; 783609542; 317289750; 563583281; 247110221; 506899775; 91856877; 968426730; 254507513; 874871206; 575635127; 57435169; 746994297; 270199279; 586078303; 534321245; 89231316; 243409389; 984872695; 602875687; 967193641; 504410790; 324320432; 304800220; 10521796; 884694599; 676495875; 586838365; 509790815; 157561197; 774167141; 491513562; 792482408; 394148935; 48076889; 275628373; 379638863; 135909169; 872322060; 56542370; 793881914; 479648044; 882974572; 936470318; 698841280; 679338441; 280697003; 242669991; 51860054; 19311647; 544563396; 645639294; 817836345; 291739587; 137774091; 664759485; 207205472; 785646140; 472371166; 814061619; 738607318; 798721454; 562874834; 90637655; 482896215; 180230722; 670725360; 825790750; 750162303; 76458241; 212563156; 81578370; 730833567; 154525275; 710887944; 783760398; 135609983; 822847829; 959137681; 896091487; 285429755; 878941490; 991946966; 939828831; 675059043; 240827909; 797730460; 491094367; 484390208; 586788685; 519797221; 803029456; 120049921; 331729630; 397300202; 468600471; 828310349; 638126999; 512407676; 735815049; 127262936; 360343240; 7214375; 473778287; 235353321; 701002453; 715479638; 498559607; 269250768; 17435562; 251019353; 426105364; 347104312; 240219577; 628274267; 757358261; 597600425; 296858682; 666252098; 695389094; 293106674; 415656122; 665800058; 743289643; 382080907; 184920043; 232781552; 28659416; 279425793; 751073673; 272752149; 113606357; 464422580; 332790942; 769105564; 66227382; 655754767; 653635143; 883077510; 279612181; 332563529; 347448883; 297285810; 726023510; 843570161; 298154159; 470796295; 327308944; 113299238; 420094140; 621563499; 732594414; 527424672; 189955811; 88601537; 626969880; 269283967; 740152930; 353906394; 57253165; 944317805; 620598263; 683428048; 36852308; 871862030; 678348288; 310407690; 953562020; 227682529; 572993318; 82430002; 969777815; 554836885; 4873418; 683126130; 194441563; 745216479; 960711940; 693571409; 64208011; 945689679; 299701949; 697680525; 213296897; 893596671; 400586138; 41173684; 922268205; 958418171; 488821749; 36529135; 540106555; 163305597; 888193507; 72802106; 40085557; 257306459; 965204803; 18789935; 39650900; 818242382; 206953651; 505422039; 828151969; 938142662; 290115927; 673156181; 41602560; 470608759; 826550194; 478289274; 231916019; 375935944; 464624252; 203862981; 654765651; 475202611; 357143587; 703460680; 922164684; 797317963; 798629850; 657656608; 216063806; 953940252; 785202388; 609890670; 6070761; 590037797; 261732383; 728031156; 241277287; 320810213; 46201245; 182836601; 754966506; 912477679; 712052485; 718347636; 402664349; 280061965; 390476070; 112291771; 409647473; 681680536; 571240716; 488320887; 330501527; 423725809; 307436782; 667885754; 875599826; 868342507; 739163591; 867478879; 377571395; 462261459; 910035125; 340881623; 821972217; 973002933; 587897458; 95223618; 213731211; 625519532; 702748071; 763165112; 117498976; 280741451; 911555769; 291782621; 678441732; 78414036; 218754310; 503291170; 181903682; 527431509; 341541936; 824366369; 24087331; 403096850; 835643270; 356380095; 137038296; 379940473; 641028920; 267463118; 159922152; 580147292; 245576907; 985289324; 825503700; 75333101; 324344277; 107539347; 735471268; 983095077; 633527988; 459403618; 681886098; 119994641; 442437245; 39091298; 953624636; 422982958; 708465168; 78935680; 314924579; 277911085; 923660822; 22714294; 611620744; 963727647; 476973023; 330324835; 478335574; 72355991; 544175411; 964656943; 716739422; 552686247; 592826379; 808023158; 259666800; 347002052; 984521898; 814791516; 344934666; 719828517; 469381415; 884908741; 200180287; 423779896; 41633238; 339758222; 560420792; 859462956; 336479717; 433063522; 442090958; 204755917; 822941177; 840693411; 978598224; 639366865; 977983683; 925515878; 678739322; 75207901; 309177706; 830157283; 92747617; 246131952; 451185842; 670662922; 285923176; 947753495; 654538696; 40335675; 159488505; 523544064; 977203358; 192587577; 265007352; 779596339; 320103439; 961678983; 541360377; 597394538; 54730152; 591734791; 217078181; 996935610; 814574403; 924288531; 298744802; 711774921; 28039273; 280372620; 820034597; 980882203; 773310834; 136014992; 171449411; 41741132; 730813893; 481589193; 570447133; 991236757; 692966948; 65460580; 184658084; 171501287; 815773176; 825117500; 931547129; 387941744; 908458727; 487557708; 76385657; 827276764; 205478515; 414272069; 645950877; 876208898; 569961692; 757503587; 877666335; 884968386; 245737184; 323677992; 317195208; 889574872; 384145786; 930587285; 530919159; 813408878; 927773635; 895141725; 277900575; 264735404; 933186467; 57780251; 80114404; 659834834; 13855452; 794169414; 123524600; 105237100; 497059383; 119462424; 141899200; 96046910; 677566679; 482489122; 917795144; 55577609; 558261741; 942262253; 669596670; 5533979; 231193661; 938720988; 125715452; 330012465; 561431792; 602849400; 29398540; 88364399; 916987529; 988017263; 595622798; 663106284; 717020886; 946344088; 401886877; 91464655; 491778803; 585268694; 767167093; 352231945; 793528015; 700821486; 168737843; 728863788; 351355858; 642892016; 934782279; 780056996; 189398410; 640479396; 275680174; 44959867; 402603064; 939592466; 484707834; 720999673; 484138750; 311007072; 650497665; 477425697; 279917251; 793053232; 347000982; 459462237; 624383496; 840732695; 829981890; 812798015; 834549047; 904859071; 861079068; 349014573; 728195373; 940381353; 161509916; 98629444; 65919379; 931746946; 860873110; 51745688; 392710988; 767153449; 376345771; 780480140; 341017321; 631497010; 426799303; 316555344; 935706066; 740367913; 878456862; 290369023; 341149647; 108018899; 704391065; 946613030; 888698675; 625735641; 705230057; 682993926; 917724882; 267857696; 533789043; 854033932; 902228283; 961793006; 388168134; 408216414; 320802404; 624710290; 625665173; 115125988; 86937866; 422682070; 133614559; 108947940; 59509483; 672451663; 846420237; 68051314; 494655172; 524261551; 371199610; 819169902; 947108113; 313958922; 604803634; 471389148; 427535663; 895367576; 320165536; 78619523; 699553733; 523981013; 468048896; 806425190; 178042814; 820486486; 655703874; 511308259; 267289904; 530097822; 4752455; 633073694; 893995653; 255335811; 23733245; 234557039]) + + + (* Grouping test cases *) + let suite = "Test Suite for minimumArrayLength" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + "test8" >:: test8; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimize_length_of_array_using_operations/scala_tests/MySuite.scala b/minimize_length_of_array_using_operations/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..91e85971c04a5d2bbd508fbcf60c8b24e02f1c09 --- /dev/null +++ b/minimize_length_of_array_using_operations/scala_tests/MySuite.scala @@ -0,0 +1,36 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimumArrayLength(List(1,4,3,1)), 1) + } + + test("test2") { + assertEquals(Main.minimumArrayLength(List(5,5,5,10,5)), 2) + } + + test("test3") { + assertEquals(Main.minimumArrayLength(List(2,3,4)), 1) + } + + test("test4") { + assertEquals(Main.minimumArrayLength(7,5,3,2,4), 1) + } + + test("test5") { + assertEquals(Main.minimumArrayLength(65,7,5,67,75,39,34,13,48,65), 1) + } + + test("test6") { + assertEquals(Main.minimumArrayLength(895,535,66,348,458,823,698,558,55,155,340,252,115,433,59,14,610,890,533,305,356,823,380,965,881,252,489,852,562,171,990,976,28,82,820,192,275,618,79,752,504,720,519,115,507,255,298,86,108,417,437,935,371,704,962,333,487,478,640,203,94,709,269,173,375,538,488,101,986,899,58,543,167,701,212,226,671,562,728,969,733,647,825,117,968,364,434,161,311,623,615,717,482,945,313,134,520,390,499,756,614,454,987,129,155,523,544,935,130,885,89,338,423,950,933,949,40,644,769,272,236,873,337,211,349,930,253,499,788,843,632,330,257,333,47,843,914,490,939,721,733,44,898,192,528,306,260,358,95,424,804,496,973,322,391,664,257,147,684,389,803,326,15,697,140,105,929,316,310,56,726,583,954,388,452,416,446,112,200,134,495,232,361,915,538,199,853,771,562,868,342,936,276,770,120,108,28,474,903,772,962,728,340,928,671,889,13,263,589,916,476,501,310,501,879,538,806,864,769,409,838,198,81,755,166,476,824,461,182,231,171,669,643,689,513,745,357,217,784,583,195,810,42,133,645,28,334,245,155,27,352,139,982,943,211,217,775,182,924,443,984,265,96,24,668,987,77,825,685,705,209,132,20,891,50,498,383,473,917,151,177,451,692,725,393,666,771,215,862,451,11,998,158,714,467,918,771,340,359,838,889,253,534,263,38,323,717,331,125,182,656,155,668,505,91,341,157,393,234,343,296,970,608,521,111,310,606,908,208,660,477,596,202,821,250,469,593,753,320,806,503,892,471,148,253,146,634,165,555,103,268,570,531,1000,158,846,856,852,596,710,922,202,313,24,276,493,617,337,631,867,66,131,254,262,543,676,846,50,499,504,502,536,110,500,11,428,810,237,702,926,143,5,547,625,599,681,960,627,282,273,835,932,538,691,366,336,849,505,399,693,480,652,303,847,104,662,96,696,986,977,831,164,57,236,471,542,629,519,351,316,228,380,418,375,973,707,970,168,467,262,737,681,723,514,403,298,265,155,794,220,809,737,457,990,420,917,488,685,302,222,993,792,26,800,577,840,258,213,406,21,32,101,844,798,916,400,130,710,700,302,171,379,595,118,237,21,734,27,980,753,688,191,476,234,128,718,317,465,755,751,159,869,202,489,78,867,303,775,886,711,204,716,138,615,819,478,622,801,474,632,681,319,183,212,725,65,948,563,556,232,445,993,126,464,317,450,160,699,560,280,688,178,303,166,358,94,751,891,261,805,648,552,428,826,745,387,957,411,776,40,398,430,835,195,14,988,630,204,789,590,809,978,322,975,436,983,356,895,725,911,107,724,226,943,788,429,741,240,809,325,796,251,380,395,949,277,931,121,301,633,977,608,81,46,838,807,436,202,273,853,369,735,692,111,804,43,802,838,287,51,221,603,92,361,763,177,883,827,370,242,841,317,638,725,610,357,965,677,27,607,909,117,405,246,747,624,168,159,425,111,704,473,52,402,85,914,123,21,139,47,904,286,108,713,304,47,655,474,378,319,821,62,400,894,668,823,601,403,236,474,873,282,982,807,808,530,740,268,886,623,261,673,775,543,581,989,623,513,779,352,316,934,496,764,902,103,675,67,572,488,314,194,821,437,74,989,937,859,576,114,925,87,230,778,869,839,635,106,846,845,316,857,207,389,568,432,86,380,460,800,497,191,830,401,490,816,967,595,397,557,943,858,581), 1) + } + + test("test7") { + assertEquals(Main.minimumArrayLength(3721,332,7193,3646,7062,4704,6262,4369,8052,3640,8655,9043,7741,2130,6761,2336,8367,3725,8659,9759,7038,9190,2703,2665,9834,2287,4351,4548,7896,4637,1349,4258,3135,8522,5425,5142,7611,2352,253,1118,6364,3002,7801,9328,9234,3367,5276,7319,8683,3484,3970,6919,2176,2471,364,1819,4556,3441,4405,5333,9121,9598,7396,3891,3406,6566,3247,1505,6232,6880,51,5129,223,1246,9562,3930,1017,2742,2720,4777,2904,9647,9935,5929,7279,5719,3017,3390,1813,6660,5491,1691,7873,5277,2819,8786,1767,5346,5858,3338,8626,2655,6228,8895,1675,1206,5951,3707,2932,7322,5885,3241,5449,8221,1581,4373,8269,5770,8894,8837,4469,5096,3382,6760,6343,5279,9948,2372,8375,2186,1755,2450,1478,9408,2390,3334,8800,1245,8366,9040,5554,6115,6953,7472,6612,1244,2363,5153,301,9310,7481,4678,432,115,5752,5208,2822,5789,7237,1747,9259,93,2411,1715,9117,8548,394,2942,534,2198,7050,1824,4490,8519,8164,464,8455,6350,295,2861,9809,3255,9852,1021,1473,7377,4613,4154,3717,5558,4647,1693,2714,4889,7559,5775,8978,3702,5053,1672,1938,7194,9886,9711,2970,6434,6504,191,5522,8708,1000,7974,1979,6675,5010,3977,8214,4879,8065,6687,9502,1105,6808,6555,9537,7782,3283,5950,7207,5616,933,514,2252,7454,5292,2966,8707,2708,2088,3167,5780,1747,7271,8556,2156,7239,2373,7927,3431,3570,1150,3465,7850,6456,1145,957,2814,5372,5526,309,8786,5734,3298,6424,7418,5994,2004,267,7733,5212,4763,1736,1815,8736,932,2902,8421,5918,6992,8636,9402,1567,3372,5128,6580,4384,7039,8428,5260,4923,6958,5491,5420,9382,2853,6080,5015,1897,7617,2234,3158,1411,1924,9699,9016,7707,6567,5850,5186,5709,1951,9878,7080,5069,9383,3971,3457,4332,3645,1801,1836,9526,3869,4335,420,5348,8939,5893,6172,6144,3072,1704,4080,3844,2178,7107,1623,4292,1472,377,3296,8048,3477,608,8251,1846,4063,7261,2319,6773,9877,5562,5058,1532,5628,9269,5996,1361,8730,8,66,6079,4460,3008,4334,2242,9717,5635,5921,1844,8586,499,4982,622,3498,7012,365,8242,2363,2586,6650,1514,5177,8146,9185,6838,126,760,9382,6060,6819,7205,8866,2591,286,6712,1940,8353,807,5656,7107,1872,5451,9888,6050,3907,909,8982,5615,9370,6478,2629,754,4789,618,6971,7444,2599,3186,1248,8325,5565,9178,1336,3693,8517,2727,1307,8797,6481,5743,5184,630,5311,4660,8900,4322,1930,511,2291,9566,8741,5014,1417,1004,5344,1118,9417,825,5392,6059,4736,5726,4647,9453,202,105,5259,2146,8072,4694,7243,8684,1649,6915,5043,8233,7728,3118,3439,4844,5415,2809,8213,4424,7937,6095,3637,6873,6479,8539,5845,3051,617,3049,8682,6335,3730,3129,4138,5471,3919,2510,3096,4506,8595,3513,8470,6369,9767,4598,7650,9641,3410,5166,8832,9871,9705,9675,3326,3087,1587,6812,7939,5261,4668,8735,4866,3743,6946,2818,5167,485,8669,146,9370,5011,4708,7570,4736,1314,6901,3969,6798,9984,6882,1793,5047,8077,7969,7228,2764,9659,667,7663,3722,489,7990,1659,4181,7494,7328,7043,2686,750,1984,3029,8772,5824,6213,4841,4515,974,1629,468,6518,1133,493,5945,6211,2513,723,902,766,8731,1987,8304,787,923,9677,2607,2293,2282,2596,1689,6330,4214,9232,5042,5525,2814,7519,5598,8311,8786,6205,9382,194,460,2080,9092,9637,5700,7583,3341,1437,3303,8197,3853,3693,7972,3146,6784,9291,6781,4443,3731,251,4630,8826,3969,6734,9650,9523,341,8727,8115,9376,1069,8542,163,5898,4403,4569,5810,7859,5892,8359,1049,728,6797,2899,3453,9771,2675,236,96,6938,476,1531,9529,8649,1206,5497,1259,1151,6588,2319,124,1680,6883,1954,5494,4528,5748,6323,5008,6390,5290,1510,1717,1253,1232,5236,1213,8187,336,6543,7564,2179,2515,4802,6943,1119,1288,7695,5469,1118,3013,8453,8659,3887,6094,9437,2841,7975,9693,6032,2456,8563,6777,7878,2520,8619,8141,9689,5346,7104,6452,569,1359,8133,8374,9874,262,3001,7337,2445,3975,6833,6684,3316,4359,2612,5668,2961,3731,9916,273,7389,1187,7273,5754,4770,5738,395,8794,2276,9944,2270,676,4132,9022,8505,5154,9033,8402,5814,9732,8794,5647,8243,9204,2965,6294,9588,2398,8154,4278,6886,2704,6124,6207,8773,3867,6317,4934,5202,1734,8007,3011,4321,2631,6594,2139,2461,6001,9897,4999,1542,7945,8305,2752,6584,4169,9190,5899,3086,7877,9164,1287,5016,1750,437,1787,1429,1420,2075,3000,3348,4818,6608,4769,5358,3544,6196,1064,5019,9432,1110,9171,6244,4872,2861,2324,4377,9491,8306,4394,7267,1845,8243,6938,4226,2359,8881,1702,9721,7838,5960,9778,9590,5613,8523,8062,9206,3977,8718,6825,3625,7399,5480,5803,763,7941,4721,252,7553,8254,1993,3895,6747,7615,8965,2657,7608,930,3174,5835,9638,7756,9776,976,2373,8791,8781,8386,6635,6356,6373,4876,5659,7156,1092,109,6155,9983,285,8930,6971,125,2225,3290,7793,923,150,1973,7022,9586,3811,719,2411,4354,3175,6119,741,4896,4861,393,5286,1375,5437,4308,6448,3951,2968,1104,9060,4180,1490,9561,8658,3197,6082,2315,6076,9157,8856,2488,9746,4206,6865,9401,6188,9111,9973,9653,2706,3958,2378,7155,260,9037,2918,8491,393,8107,4767,5090,8214,1082,894,5579,457,1464,1552,5568,6732,7003,5075,482,9829,1350,4768,3028,1171,7996,5826,8876,9053,3168,8400,2056,2477,9011,1540,19,14,5453,2815,4677,9865,7732,9566,302,5336,3328,1358,4149,9716,3951,7201,4159,9985,6329,2825,9731,3936,8950,524,6386,3385,282,3358,4444,5189,2386,8722,5135,5045,7141,1090,7215,6310,4567,4418,6466,5915,193,3929,9539,342,4469,3052,6143,6283,505,9588,4842,7092,2004,2152,7113,2640,6931,4863,9392,8803,9973,1468,4850,3503,1658,6624,5108,4022,197,8813,554,1478,4805,3075,306,2252,8329,5763,3884,8741,8103,5769,2892,9377,4536,9897,6077,7054,8102,2608,4140,1024,7834,1872,5052,1863,1828,5404,6285,9544,9888,3912,6200,9738,2660,901,1819,5303,2996,9001,6512,5677,9543,6710,6412,108,883,4513,7924,6217,9756,9326,1468,6029,7301,2249,5735,5326,8580,8977,6915,6958,8916,7886,519,8575,9038,6532,7248,2084,6304,3377,1195,8028,5414,7894,6078,5396,1935,5176,6877,5086,6993,2384,1604,8876,8735,6111,520,982,2135,1152,8781,5708,340,2932,8997,7344,247,7230,6726,1282,944,9779,8296,2891,5099,9886,7444,6524,4252,6554,4921,6166,9553,1152,9222,4524,6269,6464,8865,7901,6576,9052,6389,8946,1593,141,5613,7925,9559,9332,8988,8768,7381,3521,9786,339,9916,3333,4264,3718,4753,4055,5044,7316,9595,6589,8475,8728,7716,6854,2539,8709,3524,1977,7492,2620,1459,9093,338,762,9741,3949,2358,4190,7149,9571,5277,9835,8973,3676,277,6973,2911,6544,837,862,7298,5643,381,4033,9329,2996,8166,9608,9058,4693,6674,2448,2650,4745,1501,5370,4655,5971,9290,8580,8563,9010,3892,298,574,4432,2284,6415,9843,5561,6200,1164,9929,8966,1970,6663,7675,7986,6792,9175,9495,7993,3750,4801,7616,1269,6816,6299,7660,5958,7223,9542,5790,6152,9240,2071,5006,927,7770,9347,4413,7411,5426,8080,7729,2998,75,2917,1780,1763,698,10000,8732,4983,5151,9444,2178,8840,6902,1538,6951,450,4752,7337,5671,7525,5031,3191,6999,125,7105,872,2519,4698,9439,4570,1271,6723,1525,2480,3910,1331,625,600,4434,356,7389,870,3889,3350,4182,7067,3409,3081,2210,1603,4144,3760,447,8299,6251,9903,6004,10,1586,3682,3794,9485,1475,5308,7112,967,2182,8668,8671,810,5701,1731,9667,846,7312,3233,2214,6784,861,8418,1684,3359,6608,8465,5989,1699,2183,2605,3324,2733,3690,4805,203,4051,1303,9837,4548,7659,8080,9333,853,829,9318,5018,2514,2322,2775,5372,2897,2840,2576,9722,6676,5899,6679,5732,219,8009,5205,2908,4376,397,5137,7040,9309,3166,908,5192,6125,7310,6928,3898,4442,8332,9566,3915,6232,249,9090,3960,6598,3395,2831,6537,2306,1096,2987,4624,5285,8120,7589,3790,7118,4137,3590,5840,7992,9697,3978,7172,9008,6239,2145,7471,3456,4260,7774,153,1066,4669,4557,5417,6358,9328,8437,9411,580,4703,2569,7150,4298,3065,1020,6967,3675,7824,477,3183,7893,5729,3296,7217,612,4040,7470,4099,604,8404,9413,1134,640,4765,536,8798,3067,1802,4394,9446,5233,897,4650,5063,3699,251,4331,4976,4400,9903,1086,6596,788,6506,4738,6373,9371,3289,929,9111,3092,9186,5638,9107,3174,1823,9341,8930,500,6486,1525,557,137,4594,8385,4157,3401,754,7404,1599,946,1916,1587,5803,208,1079,7575,7290,1434,7826,855,7741,304,5227,1018,6616,7747,2689,5008,2422,2496,3470,1565,7100,2811,3668,7890,6808,5787,9289,9815,8587,1645,7115,9435,427,4347,4884,9136,9318,6393,8758,3247,3960,982,1383,5755,3727,1,3331,3088,5273,4428,627,9132,9563,1078,9478,9902,5764,8683,1085,2758,8396,5663,2154,9123,7296,8583,1959,2127,2004,3921,4319,252,5500,2472,4021,8850,4299,6168,2731,1304,8284,6351,2712,6632,2599,466,1003,8559,143,3528,386,661,5498,3392,2419,4420,5253,3667,6928,2360,4206,7384,771,4143,3589,2240,5873,5017,7792,7683,6881,2330,4580,7802,912,8133,7915,8036,3316,323,5553,1529,9855,3980,3597,2469,4639,8585,3713,3770,8918,7185,1646,7889,3324,7526,4476,5879,6928,1243,1478,111,5164,1157,9757,6978,8091,454,3352,4773,4590,5616,8882,5794,5337,9573,6223,8857,4682,5390,1701,1684,8675,1831,371,7233,9294,6008,6798,6359,6540,5582,2497,8265,5191,6903,8513,5822,3598,2119,5222,6948,9055,394,2766,488,3824,3803,2690,6420,4900,7112,61,5532,2799,793,9910,5242,5379,120,4262,8476,8583,3391,1481,6846,2132,7145,410,5865,3867,5256,5980,2779,5859,9212,8305,6303,1584,6215,1921,3334,1410,3571,3973,2625,9722,8825,6395,6707,2228,129,3661,7828,6358,4241,138,7928,6052,5748,3227,8258,9879,129,50,2904,9322,2180,8871,6130,7418,302,1013,4598,7300,5583,9619,7828,8601,4270,7749,2870,6989,470,1638,4364,1138,4054,6437,5272,1478,1918,8037,9626,7930,3911,5175,4375,956,3377,4799,6499,6618,9463,2053,5148,9576,586,5658,866,8961,9101,3081,9750,1696,7282,458,1257,1662,8897,6026,6612,3754,4875,8067,8615,9788,1268,340,7023,464,1294,6797,4727,234,5419,9082,5148,4703,8746,202,7567,7254,2636,2688,3356,6189,9681,6326,1556,6099,5250,2288,8370,6661,5858,2637,6267,8909,9215,8779,7811,4877,1707,2448,1807,5253,3154,112,7732,5260,682,5468,2701,2057,3990,2736,8600,2051,4385,7381,322,458,7543,2874,9258,9714,3521,5630,2772,8391,9408,1442,8118,9687,7660,9034,341,5762,2999,2304,9307,6002,2522,7315,7180,9665,1884,958,6800,7069,1319,9129,5381,9697,6921,2582,1676,7914,8195,566,521,2116,6170,7809,490,6706,1188,7364,3247,6804,1916,1953,8733,4514,1881,9707,9646,4352,1155,3517,8850,185,4711,7695,4149,5301,5534,8126,6360,8742,5470,1825,9918,9474,6000,8089,1355,703,5103,1990,8645,2550,189,3176,2399,9063,3169,5427,2384,6262,8250,5836,9967,7995,1649,4535,7935,1177,5286,7953,9724,9825,3551,4508,4809,7929,6303,5140,5799,629,5555,4695,2755,8995,7564,3552,15,4328,9622,4632,5724,7013,2531,1923,8124,6599,8368,6911,4337,4139,8649,7713,5759,5388,1180,3176,8501,8967,9976,7837,9493,4086,3320,6476,4387,3405,7894,4042,1554,4113,65,9729,8176,8375,1995,7424,3501,6725,8342,6895,4961,927,8701,191,5831,6931,7083,7096,2145,3570,5577,871,1528,244,6471,176,8435,7059,4403,8856,2764,579,1388,914,8917,1393,9529,9926,8043,7298,9687,5436,4667,8135,4862,8875,6046,8435,571,2963,565,3812,6529,1703,5003,534,7944,9259,496,4969,5249,5595,5359,2977,3516,207,5627,4143,5392,8882,1777,8348,6142,1523,1120,5819,69,3032,2422,3979,1842,9344,778,4268,7845,4280,2946,8941,6754,6557,8961,922,8467,2235,1304,5556,4379,6895,8320,5217,990,6016,7337,5286,4935,5542,7254,6464,7681,6999,2537,1451,4282,3035,5273,3967,8408,5139,8346,8043,2983,7484,8533,4805,7525,8488,9417,1167,3798,4939,7410,1541,2966,7258,129,5014,7043,7840,8139,6036,6365,8424,829,4841,4714,5319,788,8301,1113,103,6596,4419,4052,8545,6839,7020,6766,9980,5979,830,8428,1619,7968,3483,3103,9190,4978,9351,579,1652,6434,7781,1177,7105,3978,9763,670,6458,3381,8100,2996,2577,9350,4396,3027,1392,5534,3420,9200,4341,9051,4456,3648,9639,6415,7202,494,5079,1198,5491,9625,6680,1052,1665,5750,4694,388,6822,5751,1757,9133,3684,4055,2295,5464,1654,2219,2433,3800,3259,7862,5401,2201,9681,2742,4274,3933,352,5944,6303,4062,6558,6860,4525,9947,937,1635,768,8909,446,4457,8170,7048,5402,990,2303,6793,1832,3814,8663,5681,7377,9541,7831,2247,9580,6190,9703,3107,5020,6437,6421,4330,6449,1272,9807,8809,6494,2395,825,4164,3680,1488,1275,3286,6288,4435,2347,8339,9795,3288,7776,4535,5434,2242,4022,6199,8953,5618,6640,3376,7643,3696,1829,198,9387,3508,6657,8477,5807,6870,3692,1436,8683,3584,9458,8559,5876,5250,2700,6841,6676,3022,1650,9241,880,1835,1147,7019,9467,9186,3857,3693,5005,8845,4840,4095,2781,4294,2420,8609,9249,1770,7628,2156,7620,399,7706,5142,1997,4931,5170,1686,2166,7092,6707,3381,4836,197,736,9779,2337,9762,3246,2383,4502,1762,6046,4712,5863,9649,6446,9436,3484,5052,1770,3855,3351,3324,9434,8037,3149,6489,8412,3283,7276,4497,2984,579,2266,285,1041,1767,8507,1304,1140,5624,1034,2632,137,2808,2223,7278,8231,4516,8899,5347,8502,7940,62,1751,2745,4204,9208,9451,2602,2645,3479,2828,6855,6549,8956,5040,3966,4320,4280,1789,2496,5032,1961,4373,2740,3735,3737,5246,1990,3055,6526,751,5607,4828,1174,3659,7803,3441,8630,4815,4143,8314,9910,7735,3860,8387,9284,6411,9329,8245,2369,337,201,9963,1035,6652,7391,2407,5219,8955,4128,4582,1884,6168,1039,1607,8190,7034,157,2478,8209,9833,2564,2350,6623,8298,7611,3268,1133,4626,3695,7513,8088,7253,8831,7840,2531,8919,7648,4743,6222,7618,244,3170,415,4288,1589,4612,3091,6536,7837,5485,1263,3652,6098,1633,9762,9080,5131,9370,2568,3010,9957,6586,6432,6599,6640,588,4034,2843,9051,8990,5005,1919,2414,8429,6282,3406,7982,2353,3113,2439,9382,6599,1437,772,1786,4115,5820,1557,6816,1818,109,349,8609,6571,3438,5873,5681,5019,4990,6488,456,7038,9514,3862,5254,1892,4896,9928,7569,5624,2657,2387,3389,2034,2929,5136,9569,3090,8396,5507,627,8907,6984,2050,9364,6902,4374,7223,535,4810,2075,7979,6943,4144,6648,4776,2763,1486,3139,4336,7303,3611,9852,8055,929,9651,8500,1995,4107,5020,5622,2588,7835,1635,7503,6212,9025,8034,8055,8223,1098,6249,7734,1384,1132,2072,6766,7017,5351,7809,6386,8441,2807,758,1456,6100,9417,322,2171,2654,4131,4332,3843,172,4271,4013,3909,9953,3129,6288,7751,5970,7508,9357,5412,6220,6113,4587,2236,6270,3846,8480,7592,8319,9776,8546,7861,9790,571,327,8572,1028,9217,2119,4933,1991,1980,9802,8485,1673,4833,1320,2180,2781,7392,100,4912,2428,2737,5983,906,5087,5147,4529,5800,3426,6369,4157,3513,8904,7040,2687,7817,2672,7959,9784,8776,9746,1630,24,4481,8562,4745,525,1109,7836,2619,6287,7914,4193,6548,2223,1612,1183,7118,8595,1988,8204,2577,4726,5712,4530,5917,655,2427,4476,5460,4665,3857,2002,372,1739,3925,7494,176,3234,7109,5158,5649,2918,7284,3372,612,9741,2367,6174,6520,7307,1821,207,6380,8813,4521,6650,2995,2398,879,5537,2414,5397,1925,5960,6391,1266,4690,2038,413,2211,7855,4060,3610,552,1327,745,4142,9294,5453,9609,4687,842,8310,4599,9887,9463,9486,2336,3847,5232,7161,8686,8878,4278,9348,5786,7057,6710,7471,2509,7711,3855,9349,9522,8437,9483,4068,6706,9617,4491,7980,7116,2867,9850,3250,5263,2864,6716,1987,6095,6550,7356,7423,6080,216,9092,1505,8720,8107,4915,5002,9762,5880,4282,8384,7616,8293,3797,8371,154,6200,797,3624,4590,809,9953,8272,7207,2293,8174,6864,9202,2218,7927,8106,1312,1212,8267,6505,8845,8232,8025,1357,6916,8704,4185,8231,1033,5574,5455,5413,4478,5345,3764,9926,1897,7538,9552,8462,778,9155,4176,4591,9396,642,8745,5196,6274,2441,1335,3947,7922,3841,7357,4595,2518,9767,3546,4930,3271,2107,4021,8704,8177,9012,6659,4368,8220,258,1094,559,9629,1970,3747,7346,5391,4376,2910,1560,3889,3682,9436,1413,144,8093,1885,3344,6323,6062,5994,4471,6804,9313,8055,8246,8062,8558,7795,6568,9820,5332,8323,8337,8582,2053,8854,3039,3273,4614,4007,1114,1259,403,8952,5017,6732,5382,2652,9343,2909,1052,6363,9798,9578,193,6638,1988,553,5423,9862,7495,5720,6680,6332,3321,8321,4070,8532,8210,3194,8061,1482,4473,8872,3380,105,6863,2670,3191,4569,2287,5968,2848,7951,6454,7639,6486,381,1060,4671,664,435,913,7175,3050,4593,2903,1315,1512,4585,228,1273,6161,5015,5759,2058,6749), 1) + } + + test("test8") { + assertEquals(Main.minimumArrayLength(880134581,772576344,399895356,285967908,867328643,442745784,424034268,345772360,916019994,542598802,933956188,790793630,683928860,739568265,956222957,333512601,626919162,553949110,627736799,918401986,613953728,387419984,458262981,817382805,248018453,688854223,838755468,470061499,869401840,303790130,838894964,165822129,594444959,243189521,669050758,737400510,231655911,30326960,235299222,649728743,671186820,286886018,436529751,185275958,547596220,600755891,209994949,961919305,375781259,759825101,626503060,25211291,934281965,321043477,542621448,689843640,219739535,411035537,449771194,226860314,896492991,996264811,215102042,756270916,178304891,261744798,558714022,706782684,956959014,490566913,542120187,719256649,416303989,61347588,153604934,762771462,603882321,427415285,765590810,150127576,154080204,615974251,14547133,593013610,676690296,667964848,886562719,918748935,986729577,62084349,924807360,626914636,218372326,166342871,420648285,955220235,891435030,565138979,521600366,338037871,754271599,107000763,888415279,351965887,701171583,473187119,448322308,683063263,621336856,441295215,451921142,675330910,627256387,818825062,44897016,582385043,393380812,340108689,233337944,392598383,130523171,482971695,852799954,106048655,369166645,522158820,499886164,611754363,216567126,415808131,14652524,258245719,924670087,192796564,317461463,753866154,890410282,980006795,352341946,490438905,169688110,37675331,394193105,631912887,669203877,65544428,970631344,706011143,8176764,501677981,339117111,176773217,791368146,587962126,627740643,733236899,611860782,562305253,766521040,312178013,47761851,98432974,588162107,444674798,571338681,114611482,583158315,926899872,897431605,836739450,768186063,310965058,139757743,778356561,367377726,710071529,865143542,116307916,867012046,356666333,921026908,54450768,134760156,285246220,388482510,630448736,528156768,176528757,931414016,307551907,99316255,266686125,313456830,793419672,266440651,533941226,886515287,72275303,306917683,124564538,377120763,430900101,485708981,979664933,657691604,90500814,207190418,967831406,179496476,431639293,461749564,612003348,491543465,143042116,966639695,794974882,867504308,535412914,997445736,485066855,255377770,400095408,774358859,603140676,468099733,255363971,473944888,197176342,973530146,172853722,199954001,978998390,830249155,171041494,120249799,579789336,107296359,438775113,865549448,562505285,231622051,714284255,416414838,269725703,813564951,944196270,35646766,968437086,546502886,546422956,875177829,326017648,683369044,63654388,914744887,494446264,832996181,566016927,233133088,444528299,204444062,250989857,118983280,119662544,320619678,613517678,646513731,519700369,622410353,711144761,266942622,520873743,104955789,129013154,554852411,725295921,899119983,32574354,205539784,900472700,608023236,102802351,811913593,867657831,425237762,489011961,34960631,778647993,48441060,113001319,880043047,404956576,873335266,931093557,354633711,908299247,424017231,702019415,682808317,448773159,272677484,998023769,275324422,181769605,135097231,374001181,550506573,281125676,574620620,289257907,733000269,726248148,900258599,216092838,240121451,708935526,506559984,963363142,253694543,777066885,419847752,2652071,627294638,171007737,907616306,519545295,661559856,565333487,898602413,13958534,711190046,173167041,758537373,237579306,670774187,819935884,433063890,915907577,920122143,261554375,289850613,806720049,90279520,669013334,722036381,729756124,575351689,192568727,859312670,128539214,762993428,241916328,486223592,481582130,615943868,351001380,594050060,94773984,693430750,533892524,449685957,334808432,987874779,888479582,370668495,811783463,93478705,69267479,872783381,190302820,667739790,145636316,63906558,548643453,985463619,387166978,330385720,125101087,213821867,651438543,834569065,730846149,932085945,929269685,661825104,861763088,296522335,150480786,559100677,710561705,773008032,669361091,40518632,676061939,843546521,565118836,825528783,398193933,984187516,589127548,813097488,95508608,153585091,548697798,132398524,269756492,932618409,736498963,626086192,780365242,486370081,871224782,677702319,732835810,715527718,496235293,156585614,612477670,811854968,608070165,127260843,993953090,884552894,13981110,658916984,395298925,418582978,749389445,208198562,484086863,842428799,475951277,104882693,385918757,73796067,166532765,132510202,537121325,673264417,165438708,913594804,326855874,784445863,896610721,667820898,882894177,909420690,49880421,16788138,566527517,404188221,407323260,732317301,743768712,614759288,816320839,315273597,835026277,293575911,206271346,90936162,668736539,302389864,459844314,162515010,862326889,177225784,528516817,823703198,229755259,957042756,517440603,45020469,309685972,571201613,888817946,339605797,268092512,350297303,286439307,892585975,563766413,513505346,872215479,854012212,218379954,157282502,470437082,761379652,276970771,493873962,58666708,781357424,151773969,153870990,348396378,697076565,343494124,39075594,37153310,747327376,122061654,230235985,221466327,883883323,732694798,817210114,325957917,18766305,517066355,959470517,421080533,435913042,705598828,5348100,285893444,78046703,488054923,572627920,432743852,948900250,736573135,738344964,988861227,398334267,277995509,498754434,510417446,475048505,481959671,151876203,700786392,417931322,508328046,218383798,81050850,4313417,473279813,673133917,651855879,381360874,160050498,170551997,476899325,738621887,351042132,543581701,861974785,355566841,826549942,237117440,543117197,483543531,745213607,452335783,621175847,111318154,935765313,909331452,951966961,512011656,833880599,597741088,872274903,560446748,744208922,218081788,142263085,573883519,508791472,362161935,279607720,384278637,965625191,297709186,462405913,592725170,413244218,582331867,664571626,985169835,916123874,524935945,484435373,137106007,649542576,326401842,244266171,489351182,297897611,889704034,155945450,174442632,26784993,744683236,986668727,90041339,495527940,689047218,762033464,155512913,60674792,742149376,596709359,163780172,646548398,366898016,320965012,995240516,723505963,210166510,798029805,478153548,56881214,888721357,542004888,775626756,809451122,272418222,173639111,286098594,611114581,641980247,701500272,611823172,939271211,71699397,910264860,262532802,64658012,177893373,662385997,132751936,98329502,579500005,740419958,794639957,142057103,665985676,914527982,861261245,428488057,56775855,910959663,68015485,360503160,874976061,190543094,987695376,558939973,414401767,247235645,304530811,493345265,606075312,479464367,997036831,737833138,77451196,869699626,324606997,813256583,744407651,955824666,754177258,740449609,534833485,379245616,573202702,380701824,827132959,377627300,189601742,558175455,401128069,463201588,560587369,731579902,767139271,579312239,81695574,801099849,538042779,407492156,636329167,25890949,292048859,151982005,634079655,754850072,260757988,468748736,561942506,697499773,786723516,371086704,876426870,717046791,175042717,882575342,645212179,546168724,470672062,166754854,274065461,569537741,934786224,865097934,847170782,800668609,242817177,489067315,466647660,664841831,616484459,423313670,217250759,767812248,797333026,749631803,570555538,379426258,392460932,954688478,999734125,495397031,759678331,649160808,563505130,898832468,15339902,283184511,544660738,85248101,222703515,160211141,878631619,648286438,352828235,838019019,512509076,600878809,938338531,41425638,211520661,599034085,718208994,828142874,458943629,759078031,260160591,134766086,527382561,781315434,467586385,435971510,805718715,283227731,73074346,472269190,596254440,694634299,438716978,777087297,483236731,156053414,766189998,532906092,185416814,84218400,575273728,529965932,809119906,85322015,526122603,401655498,780076639,442660256,630077768,36342618,542794984,199822166,936772901,77180605,818811635,201206097,645087205,979075212,529223113,42853898,257526141,853670132,1720867,236863356,694651676,512028949,187912206,385718107,900644686,50834120,690257769,601236484,732283314,110237559,77011139,289987174,17427166,324629539,192776784,544978481,306967470,920161449,908974656,916583129,2248877,805749663,237375731,669110904,8963267,342045943,111357842,470333536,917153092,659765236,532679838,398986864,685861428,96358107,180004551,590781972,955957460,771681539,543948536,392746777,401956067,710398302,106514925,347856221,599578170,116437387,154764380,715615838,579277010,845671657,494033278,780901733,139390024,277952692,179821844,998953360,563279363,688607075,789711207,671569314,819485210,981261276,461562095,427689991,602816934,692361233,93224972,143566458,587418818,892790495,467671907,241249859,673915634,453065593,958982220,581218739,909532277,826566853,32422828,479989188,616245339,367747558,865774050,80895272,854099804,940735465,713823710,357997900,908651039,431558662,511202840,912915540,348524445,211561092,662037418,416614013,583743789,759661735,191792744,835703055,94302797,565989672,407178331,93793489,797953111,669445167,517768701,984130624,922044946,809419816,240115778,278337927,532041230,661214810,535945003,898362132,302496266,921440348,927427908,594629097,215105436,496506064,538979114,475379294,502812442,235637363,432616979,603336447,76950014,686533318,70537644,734543399,424946745,175372282,844018573,761543055,35205055,628687645,950267177,549983511,198485422,187359376,176747298,859964012,376627453,657128300,183569546,886172616,256221030,300621767,31234219,751394526,593680602,553840813,22071677,97957834,261117661,184885080,831609621,263373030,325013264,743131724,363682873,328548105,537817330,125466955,975776780,24702259,65316095,216264569,158011448,882818224,349215164,420639521,452781685,191103336,622343398,878372588,907975301,758066951,975328122,62985578,61909456,386874032,713724838,890473535,185195713,11065797,314089135,795360450,706327741,527825810,920672612,174968481,981349202,534311286,37732071,631176666,841586215,927795421,120036032,320628049,782545674,749094841,740887370,270207196,67485636,902423647,51879070,66981155,523366167,419607420,672979049,791043663,530046309,416682213,812732392,59711099,120523508,545936022,611587157,535590655,285963266,8145664,599957583,428105620,174340714,310558245,70447271,940842957,570508289,925456263,98443414,643220660,277755316,850283835,540825140,788939941,998154476,325098342,380250563,850094965,859131515,998188075,418435195,834469150,387752591,365563465,451960681,134334846,891956447,353489891,337029105,267027321,89371550,169408345,778259043,779660290,42067294,903738791,977290722,327805349,153628554,67370584,223050152,216192237,422626883,723733818,701794979,766535550,736867524,850994919,858194214,837536082,112330226,940167120,945766578,166409496,812378888,555885426,929659699,421668388,601088615,621827512,14859556,366179882,280106429,869154158,183493139,692369111,171396178,897359245,941617762,363206494,78936329,862799901,892769282,61190226,795640030,425614094,904416199,299516809,116911811,275966376,459508017,900447237,941954168,996501730,588394149,436021075,645997381,756179844,503848726,566747041,209474506,979152914,68140211,470617450,617381764,176938785,847368396,141207456,305173944,737893686,222174823,161525396,504857329,401814031,212645175,528881497,651687005,108938678,555698488,596216009,58281356,875618559,293658280,184101557,259458365,991563909,589089716,666700585,599546523,856012064,444852982,54340573,218873795,263926502,892015658,133745280,699845646,96771102,523544304,570136135,51721450,172387488,479090931,786819469,171460363,591513922,862728817,752485090,526487159,696592596,24678964,962421987,769000589,48852146,661017008,302618527,680947335,740857756,563600952,183924161,452180034,693831759,101967127,31054786,91737730,651514973,64883071,609927629,357201698,939343995,509341846,651440103,57979123,945232207,686351205,711889560,875313201,677832830,898234859,510122457,265197318,773297210,648845235,709706177,657632913,148241707,571881428,839670173,988238577,646014857,615165986,541727120,73485003,443930949,449762269,979604289,383926461,227276678,162037204,495227167,433029221,424448698,964862201,829425930,102024962,562401930,329558494,7311074,419358016,494307195,797314957,424710001,602063242,173556290,125967227,188150945,756824129,713111706,814169505,197166219,712966411,879461144,406442641,510256168,347928793,368754833,890191749,682372365,138240790,747721640,219309338,524181514,370760113,436301661,860516073,691836876,692611666,394307541,291055171,742487977,670666604,752328679,367522778,426769960,567519212,873066011,219728513,121789517,81472970,709711604,525944912,876902987,42521265,114998371,270989922,50771903,779680368,57052960,903587836,943165240,152928669,321759514,325023225,343090394,879846901,153627120,112113062,281766978,214000481,221281563,393210444,333557984,769202502,44183180,123977758,607898661,163389256,625546306,665003068,695035568,270652424,945461310,864562928,461380245,481649749,852837953,476267006,206786506,209312089,185441970,373448724,929552897,200210500,103459553,144584992,491412477,184851199,479789037,91741401,488779870,964247927,552844256,468009547,239812109,609852086,818950291,102327732,863709170,813045574,678415650,986123934,710239254,210831962,505162691,420461693,545438476,7797730,568810553,931345382,906217549,430456515,173628963,292494095,107219426,549508067,963564693,849151182,534795215,480840604,646518941,604736001,959477896,467692514,421180748,421787878,721141457,581020237,740191213,288716393,85717855,619401017,811949627,656967405,592961859,9411446,29759375,559454848,551489736,502164197,770093946,669643578,344958550,541577042,779195339,684602386,913457927,200132908,450227575,733159299,828704931,393186364,799931151,989534405,218836627,160081407,47949021,985620554,439767022,600714,495495185,60199641,268790512,196435175,113966723,302799307,60534034,606501938,457288995,167775528,964982527,689021281,226628045,780137520,264998706,437816417,728808339,867920937,880621703,601897238,609684610,763433141,587260378,60814402,827278057,237049497,690916996,482725843,654099597,18528212,430960501,473937225,482783971,208103646,770778613,512019572,880733956,490928234,618524844,803238729,665597934,616789008,600587092,643721641,158496757,134282568,319200580,28258385,743498717,396052512,103573165,36531067,223986369,254329795,947187062,940789394,164377888,776672798,464676212,301994891,75651122,903905978,986104978,106547723,268020873,219739741,487257993,735791232,989211030,378452656,134419170,455535464,705992556,780465696,441150358,447708575,728959143,515254405,841302849,699058320,334771242,635985965,800545078,316446845,526451793,655597577,962426078,993821776,416489243,516026856,868204626,217210986,859142864,936553674,515610154,886003773,698797796,992996010,743396685,380582672,528882456,976415193,557079670,586004974,16205129,149273514,205225407,984103384,482325608,46915971,112526002,698204581,985735014,769870509,23587066,331246758,816497241,417735063,755506684,384056946,287854193,651352498,316285895,734301170,438300577,813685254,466187095,744997108,132352140,336389235,604950873,517850562,449840557,923138843,247753537,304262871,936434074,150583455,172885342,73138219,514111262,154051255,447694590,189667118,836505073,493201418,741756469,203092472,31690956,981778826,73767046,568051413,429089611,977403653,952200436,14455362,573251540,191730834,276579102,70853738,171808054,208442406,851465524,532989525,653667313,752657273,58946045,272740085,886739804,112852903,499398597,864446296,730620154,81106425,299526731,900727649,100505327,299352481,991008226,723257126,563137055,878157515,158782475,588053481,502838215,408446454,781625212,21127776,896622836,918759002,935425080,61888471,612182673,177366247,690155543,115011574,748249537,655721797,659690898,228417059,537151795,842722133,993917243,730423320,449628813,6364244,100039232,117368215,259066785,645933208,609097517,405748786,551432159,600907654,468230450,950926704,387420380,688027441,64837348,983246898,721375778,330290051,358806879,934728758,469044479,493285999,197978023,615097485,651161792,504194903,69153659,648684407,349740669,131591369,278256733,453913684,662163947,617552739,261153686,723600336,396672550,995128794,254881104,437279852,48798391,213660407,617865204,147315456,585408779,56923662,728651466,584396128,919784043,680357374,305368272,11529393,167379580,116812010,814682781,329090073,941329056,66669214,420872178,811550443,837222041,567492099,783575592,710768922,137575014,710342549,82981288,987943564,258456475,468771019,255983643,362200413,47502277,289159318,399635479,442212665,111649090,872160154,367896929,913241122,104593010,742256538,99382518,721327260,730778209,11111220,693491268,77197842,986255623,817697531,82676340,170633033,724107908,139906038,578055297,379030386,365378502,681448528,238487398,970659682,178645656,219647130,640016793,193327590,842854339,469888791,602792684,896367446,895790618,736489903,993802620,431518449,771225963,424566083,665618103,393455369,297188008,902745447,795308555,122243562,302527475,401265707,124186401,655007361,452165170,996297717,249240501,327468149,704503438,885391687,68148599,786724826,545753051,853072026,426870106,89241862,520261417,83933253,259308983,164457204,763768506,441763015,264510823,838686598,67631513,916142290,483325405,579048898,498085083,476232898,150605306,867076467,972788442,85301124,120540672,617160931,149817747,632261526,848427828,688408611,978732678,849819215,768518709,611630648,638240344,135657907,92299879,332481787,511810191,28021996,141540783,65787126,586562957,269445371,59233012,599170217,39434403,623399301,173620216,917426988,611925862,269604200,135145280,478531362,373128932,364449381,727537493,578711396,378809101,78883507,735615072,751887574,225407373,92672921,153629933,181387715,379259787,758209495,178626801,251235767,533765874,855945630,403543512,561320502,905203378,851629389,951733071,404594014,751693488,139595787,922915032,789803680,151577066,719385155,535058971,375930054,414477870,687269879,456160510,580337833,24528308,90762728,246767754,621541402,794846439,141426772,447790020,164921437,731591452,578469376,395298172,569038719,864626212,339785938,69146035,771499393,70689027,59291569,741811434,961303996,508605250,548333580,755747157,633038155,148848049,668313240,104373766,350354552,162936130,296087603,760609343,862695741,951721561,995208806,300108028,392859482,984989099,750297115,297797683,631804731,981318307,574610714,549598639,140394307,503830565,259101642,705520360,820390021,859915830,846788934,229133577,767976744,331844732,69798730,641436386,247177850,596697633,697053935,580017933,214227730,953002617,618032872,812231634,402774115,177987237,636706626,666118197,24460186,792776090,563113284,190520849,622985094,728732889,583369663,329377401,871472336,641861133,293626715,373799186,35695867,479155415,254490628,300750322,692446168,694321056,846338356,212582822,157416787,919545078,842930596,120076839,313133540,904954772,609252495,770173639,859608129,969925755,16360958,955212592,44157707,190278628,426555992,460422723,452244153,419159704,387954827,706823702,78285174,438956589,63328254,463394999,296821640,769584373,498213425,68803662,986819385,80218182,167618716,865524752,72735552,316623758,974033857,105271371,758583434,9717387,70773112,993343705,347679241,481037028,185612719,872345821,431825976,812570634,395056075,802189373,290366213,875480868,633330130,369201188,405095154,572545798,833505626,947939598,359122225,433202667,80286651,658519099,952492304,714907217,32973500,568352327,279790242,19065587,962868116,217880562,837383273,621240372,759916378,442049269,253180365,90834231,307579845,88943641,747922868,438782671,258850955,194207089,281747763,774629962,433039410,611661669,481490435,333595310,900179970,655185148,135789128,980194675,960851715,239709283,246534646,960461130,421521249,796831313,111278653,674136070,749467478,698566870,695240956,157281280,619420093,543026019,578052070,577949874,534745180,238719521,704613616,100786738,422622127,227634021,891045564,22568487,134377904,707191161,134738821,260834729,106127363,425578281,276730987,114500982,708262188,849744077,8695985,952519759,426410880,263097653,748578107,985301557,227742037,378878077,659929914,795359723,526922511,559456295,552487088,111622971,39837625,338800241,129607375,111359509,247604166,752502743,620086098,863923357,493961085,156780742,467995463,700596055,365893473,805388765,414743121,462166346,755138510,352275527,863297149,897246513,533560236,611620748,344047092,511548960,538166882,326774152,790792184,969759827,14228468,790569648,656749223,901574409,121474565,465703526,299275550,204709903,418016999,940698960,991006749,859119046,443194910,137070530,222897214,54183866,312380392,780630321,369682894,2480034,532864381,32284294,353630520,585544937,143995076,876190582,725301183,418823086,254447506,929511656,10249536,965878678,333852087,859476766,847392027,548091454,494615494,951679252,21496311,91776224,657743618,303969631,588258572,746531310,720042308,456893573,201306991,857560630,897488572,657456847,312885102,604607510,176237782,760909188,917764102,538901744,709228448,163580968,347078808,280789372,561588265,949745639,321879801,481349233,129357682,287456062,790099015,503389519,798310544,647352229,309257212,234797849,39635800,474306494,154174829,521924648,918597576,464102856,769510331,724065379,322714373,360702606,327708720,272620202,492824845,291686464,35709477,521848201,12818220,665496599,415225050,734114117,992139588,547331410,316797623,703351064,929752390,787824152,757360642,256458546,681361391,450699039,319461551,44352269,474536512,46868709,152686036,386573958,204094073,825579934,197151252,560877903,528503712,364689940,70620046,659869127,724771240,832810343,754116596,49426883,267241002,747138124,273144391,478277993,453790794,890766060,847152275,262720034,458974246,679028981,520702921,483367399,981746812,14028504,176728008,658791441,875735224,467407109,468214839,269472309,268261275,73363443,297967191,54907598,974938344,17806392,292662532,895947619,840555959,884385441,841708894,257746916,489857544,232996929,190619201,423022793,743083091,438058220,554408149,111880559,965219302,668017885,823259574,472428536,813910760,986702605,556845780,433579323,927368928,473608965,166680194,283332311,355720431,128215598,173709844,163856707,779657383,780228060,553135678,694035129,492397970,350727737,517127464,878483215,219748709,207253745,514304549,431027779,387991334,461610399,818427897,847103398,978515377,652539219,982444559,993615212,850571612,960687715,48944000,742202851,455882946,21496059,875233018,596427840,888015296,846792885,745388990,118447504,191973880,64382136,703577285,103252524,690054196,308189091,897929584,872710586,112274640,767463251,767290138,952724760,291311206,352014967,632984407,501905941,255121980,593074290,550734819,553622678,319300726,682151721,491122144,795700186,36869078,303956606,325317411,327520520,183506678,964994271,441377748,932875058,382431616,511306776,991732249,967211389,335690295,395306130,379167293,481793903,90409646,114086824,621442278,241472451,90190810,968244321,659585256,296379969,209416969,384473440,844575369,468856345,101260546,811652275,462950044,93861448,901433789,223030023,628211323,881718298,379607418,331955406,243841695,124533777,49155087,296264050,710571806,58593104,463893355,730268310,457565437,16552135,651497092,93997826,95881278,959670066,513667873,966289241,336946518,863090289,316675647,369905251,240966169,562203917,254819235,954523195,406261168,989704716,811617148,805942349,669298573,922333436,495766959,768022814,346283329,80665061,527444685,515437651,56817497,174867389,510709873,983555850,768574475,506938762,915760168,715766339,480193700,207145374,691764815,892287236,396738393,150987107,814119155,736722811,113129493,135182635,546307251,127435873,830569372,291188992,736971886,960467793,791057203,911460590,69528754,433324528,907867001,780090987,139382960,801165571,651259270,521507548,436751795,153808064,509878617,567196036,537556510,776338834,849023999,340222502,415929831,736333387,241422204,219298991,986199650,289741199,648777652,516108253,444615167,783980859,793363357,676120389,570184159,819033135,75535488,300066219,773278827,451014167,185068744,164200345,805605623,77006993,937996921,843320920,367229113,42840142,610608164,10972894,964124946,558898715,226164289,348070882,561992089,610678903,363948351,294505764,111587811,80006759,229403605,909993966,929850367,732102768,17040263,728766037,321227193,767600099,207661541,464910357,232668355,450946302,966684884,782808877,897993721,465118310,124561280,527900867,725610669,194090322,179788987,707062152,160728261,973048993,921184038,423853397,870466952,742677869,864580595,201523670,235766777,704388351,45917948,193774480,905296432,176894635,236912686,614488260,962052167,674555229,922119958,701485511,904012554,355469519,142567181,102625984,83532121,317432383,535893663,713108608,255708417,826352987,617926694,652586716,801788709,268511627,381245261,478063929,726875318,850366219,54454013,835225928,6166094,55866645,551548516,698483712,770704894,870096613,308675252,553047494,922311472,944040560,180288397,646407218,188125223,72463609,415461677,803015332,993367544,827036484,793395299,327229055,911109358,440305471,30153036,650239477,441164598,205119301,244069022,972503849,762679101,909836228,463363925,596615288,393459699,973990140,661772404,983770394,222644062,260850523,699712164,834288108,896053421,804953673,361108198,764260449,387786231,876055102,733912460,496327412,28906063,742522280,835899426,167001884,721601621,93917791,17744687,704978276,630176563,138389261,673890514,956990842,657980310,632674839,658423364,346887378,96958369,792655726,354000256,434244671,612020773,792019673,145949764,350556720,88502093,816843348,235552278,754323284,497443103,55318948,867055699,773683539,788552042,351513256,605329669,985896236,796044510,18318804,361584718,568236444,993887814,629974510,14056167,216664654,986971943,781163539,534481592,418460557,570205087,742816843,836692632,666841808,933401201,622046792,971313156,796600480,13794002,419957322,158449101,997450624,414974852,919851708,672868381,174892855,280972602,272482210,927609504,573587730,676339321,332036593,153071535,511270624,432031659,569789161,621456789,737839181,336933984,330416480,455615059,133752696,931141544,477683891,924840141,274965781,870826416,561586854,409846459,756537093,267311638,90623554,26533151,330369024,587476827,460760665,977740816,343299788,295053106,791378913,720355053,280472762,806856571,211491855,884357770,902008889,557880149,124419528,680573207,199985189,599242259,459787465,893252389,775922515,889571665,815978086,999775890,546735512,693730544,884889311,504429606,570431720,301654576,109074769,620793591,106852855,950285865,636998811,948330806,434854123,76336199,87037364,126875410,257404116,415957109,450901735,982811168,652813311,96789243,479394058,402027280,804418577,256750393,310122095,550095414,213343238,436112674,970157153,347627411,924751075,263324922,405989909,953672635,395130854,220216423,598098972,390486101,570305912,147127222,135162789,910814514,392825345,199228979,904056378,706822341,796348124,195651094,55090466,51404839,831242045,71053383,706793573,365404648,910864736,615848151,14040903,533191573,256059452,272224994,650044067,955263900,463962933,288567186,1059290,362518991,238664170,215464522,578581578,410088224,331716891,598103799,797007738,542060965,890139565,409733946,489382288,888577990,932370496,827881207,914382843,858649374,591942253,333184193,200447622,785482464,293449843,873016338,817529732,876038335,642151293,553193932,733840042,137977518,918846105,521015156,49644976,93574011,561348823,141279894,194024133,584145723,710897726,857903368,870621594,747637295,203142752,306547309,479038854,73282208,524282220,580600766,722359618,204874237,570956293,533566142,142645675,519885631,197606526,814260815,318093659,800481754,440490494,192718433,179352440,344864854,506132428,304563239,438505945,489082912,107544023,478909596,562705626,736609117,216374588,995382803,255321652,132167848,298973257,866391899,540479898,227036188,630809582,817532550,332810716,146894316,507054191,444362786,667965827,923634961,877880578,249989192,14898486,539826443,547889572,806756175,532262933,813127498,720254853,205195315,862492372,810737066,584878575,384203520,119141621,683663171,195928392,453003032,304067196,476836096,848749725,835881380,585873030,727565936,285477434,757326406,568507555,682082937,527848281,213205650,221152408,911706457,70694944,815684282,303822894,198651827,609528639,757159847,119402432,332766224,70520799,183107082,6015025,269223199,975666668,671034337,608343774,7733205,842929343,399400795,347397681,924393384,387948451,343177287,511796746,635489005,478992215,914824459,720655351,463371696,442116776,563952720,349628288,238306824,145787247,397392068,736871573,609284354,261778891,837621769,972229118,316662297,446242402,620364484,285759421,102391441,49821084,529376411,301346556,792725271,752847219,19606588,68322406,926562896,875313624,940141258,805233937,866335231,464119828,774249769,542626114,260300869,160131392,297259556,682626302,380514599,368496145,767287077,51033754,808085364,720254435,585838696,164936849,86668194,539292703,296739006,382410329,666651647,164146624,727629670,371562736,791755799,219879086,944776441,65733122,879686581,783187187,535438748,266398843,346960927,958854889,887821383,48848797,375664882,6601841,264275589,729837000,25363950,3498445,770362583,644998548,375989318,606002411,835883550,201580326,317441248,794211481,7210717,398879694,716682770,368251954,695270297,333999755,141600013,737554884,293484900,837672634,129245889,867573931,580119374,913999056,764820265,336516332,859998647,943239384,96192992,63360356,381230045,588792549,132859371,270814525,512659945,188237960,889468382,655075210,207168250,887929270,609854032,957974249,674655543,87508141,143729067,843607804,174479291,941145656,495220403,329140743,240060384,551948939,61941507,339744783,98641702,588902916,214292932,757280471,556616858,72817925,518624794,775535762,101996668,176516478,971544746,547494665,463165568,321972433,701479274,874886829,555966677,544814220,813284662,588066396,370057978,736083696,667295787,809087215,965708412,730246651,281855061,139316966,299372089,395904154,683438244,694566403,105505448,348098169,397986618,924094929,642083120,73421702,297964295,841897137,478519716,911628904,967770471,28973035,395502229,724202687,905462666,651720743,628622317,122192207,203924878,793303119,810760931,172610033,359557007,617360680,869123641,284859831,144335523,776337900,910500686,401805191,636162023,352156631,855188794,223033767,567501411,229791377,19511173,277302825,233289092,37791261,225142993,874685244,187126225,285846969,885664904,902428605,266335161,838086798,262776164,238701940,288447789,458647171,481152043,961482773,928311384,580161094,869304570,300777512,556127642,473857967,930483027,970645309,707434368,170131100,549346706,272578009,509565345,613173892,751359362,725817754,659510236,864752856,746221644,421993953,190999588,188287770,142430024,351920374,863812543,400969501,246038929,962933934,53744872,121665871,79737161,136023059,626507177,90281498,688596628,58943141,755285157,293290127,292342583,883364655,850394396,491632557,899684436,395748263,790468351,414579929,856719364,882938687,794211192,206940108,776736,436575138,484895259,773283766,8809984,216748895,295492106,14140123,373993964,561753250,171520731,755408422,203087322,79068990,779361578,701978894,555537656,54771459,757119820,88715750,770162915,810108319,342135890,255582108,184074599,496315337,104908941,261996669,385084151,23601665,323424138,523690595,108513093,916676162,564261066,538450577,451984897,642241231,504349044,496645380,716090839,588371860,647878070,563635501,807122538,981303916,398496651,126180417,275298989,266693423,56712929,789285936,376628847,350133807,942731597,497500127,99103108,727154939,170009926,788945464,60662061,820865279,464411818,341126122,483255514,766219160,180027434,438228633,10098450,942084823,175765207,844732696,632544411,903236096,353992117,528050515,579129079,370208810,753424167,39569493,555857383,259808505,715905470,298445642,909354154,266350409,520368776,915685683,458575255,800979378,75292975,641367096,834155316,816108094,654351668,235559309,635033025,312306814,175956998,796688802,630046553,798923836,433801005,464146382,160117272,182340545,566891216,308334382,26295098,581610815,942746090,342711479,572575106,653104220,359339345,845599134,342903346,865015279,436986773,686093031,618478741,191845648,650935906,268928361,594754478,360666637,706535463,813415878,156192596,565892602,848411844,783422241,105077991,156041502,636858751,636331427,700346479,248281495,385890794,33781830,588304430,925195974,815650634,506272131,92660242,380973580,790562096,920622579,849722836,132468869,92935171,163324983,701790704,689308168,605351924,193882497,367335732,864985638,233641662,524703629,246369392,457228461,881721385,444014121,925581040,457923535,995187887,737543077,843686909,216597861,138643448,565917668,969636024,842805996,840971129,828288937,761149897,348271281,695879940,667216424,903078258,397525531,934141886,993730584,4735899,494938308,800083351,765941201,637401606,900966734,259622531,509520865,266745640,372963788,82126517,952387819,500370389,268041591,547069513,104089501,616935628,403831475,629897579,884044426,746762132,556187222,107407339,294866649,896349578,710370968,760426145,58412972,251911809,76989223,756885335,685195342,477546730,50980413,686045585,840529210,46135819,332345562,377098078,745226509,5322720,50705096,690854733,570300016,151279462,732648774,580042267,695880737,686789789,586312017,955153493,627818876,531479331,226568966,759247414,133215932,66225957,334332781,531015000,807190510,950382481,757014042,553926409,218062721,644950002,336314663,577558395,883442078,889175168,807044813,506442050,464418522,327653887,213474144,326829266,836547073,295916132,853832486,315986389,218437138,542721607,476637614,506837195,502480932,576360738,912684430,574035845,187837674,18796986,521066136,626115837,267716830,365875508,946134001,327778673,42723681,610404364,589200680,13113228,248531608,904965550,926571901,157924153,852625222,253068432,942970458,770971644,841600990,913283778,431835096,127701545,478115772,774894189,43908397,617756480,274266143,777205639,48436117,307443798,306538936,510728881,317678196,795395664,621593057,688247337,976029814,327993277,948440397,480378356,966690718,665809615,100432262,976857390,886332098,873476823,564751098,922164883,89557981,714268503,579357314,719971399,623545657,201893267,133982505,958366251,188136455,111128181,331798975,691408490,28831126,6775001,389199668,146065215,388435881,170763116,942650367,784902834,859018783,40091388,408170389,537755027,91705508,897836136,804538818,751857422,150722947,252292879,906764829,876861903,572827041,774231497,966883782,600669538,60727346,594849838,137369791,60151235,279548987,740482972,365022610,437421257,472472776,325693648,462659347,901939347,329549203,690609580,432205164,9157621,742222914,867716465,391176607,142824827,919797755,29422219,858212791,113243081,515206347,123352417,124310355,581902871,692955514,193179223,120947612,780667084,195845686,282668929,773399011,902370267,72743490,447927540,539970413,202279126,618179301,757727971,805236810,587926366,913086970,719864351,253084109,21846546,148016384,177864964,813811611,177037415,778026288,905864225,879014793,319163686,685948883,816665283,339084004,899249783,819146688,527436856,513870628,788931159,568653060,34991929,996765027,920518752,806700487,959821437,267997479,181919380,139427519,322837696,971247558,898793783,141034000,47064671,651861915,35086504,166109558,528392704,149618522,262414755,614472139,486647147,494254189,245691628,225397917,771234796,493281498,429754018,369102842,284504182,14066854,922998025,387087423,401124734,813784588,523552982,888063375,2780235,60383251,184399857,908693674,629022306,809614407,909270088,251625985,430745056,720630766,246860881,198878428,757951061,733440638,736131215,699313932,337243294,570704448,364204858,456525009,954981464,404334987,705495032,686919890,216412449,390528199,383451243,132400905,261934898,341733037,985840218,974034486,114271227,857894643,534596624,931659514,595085799,32830291,39647797,654163924,528855273,4163342,290230882,408652105,536093775,667250961,389917672,629092315,999450648,971476784,480046574,862846223,520726960,711900,551892082,927149816,445714364,920633995,916583065,768716360,496190617,891421291,76197819,714388753,638722831,933063722,695983506,213229474,343888563,302442438,544403001,131198613,745325242,100701469,591768667,400415060,507407809,865193032,116359748,899145702,944023234,207155618,799655861,345263167,418005088,411897764,672510429,22600415,118787049,998737128,234312040,781997429,769722754,831316579,712871081,733698423,598778664,220907032,271960907,957611509,208440159,861577264,967238881,411625980,586601042,31719116,272335531,600581978,470750673,987950526,261726094,467273992,901983038,538611613,225652353,793254257,204180096,378716572,664448740,693881871,839899577,764475526,266600222,929501041,507376520,250116696,224669799,457017903,133196122,924703312,26239488,405843737,661202830,220200731,299764280,639979754,679137159,485513356,63525400,660861265,723051326,194234073,6189175,4940641,904873142,493982596,411368875,745562888,331404346,509906787,954521422,32640292,404850513,701854898,291710210,690721043,760483851,637314822,525861163,593861334,731510714,111100769,148725503,951950588,268641578,655813636,286432518,728031645,653033289,154437464,678105744,990468424,978122233,925627685,720559438,802092890,776725803,973222759,179535230,433444836,621585749,683431896,891600330,153075488,716239588,363697568,549660085,734964305,669861153,337284999,93266559,279733320,980731461,809775392,683093364,113578100,364170401,826625648,616117392,601229389,844131111,996589078,72602323,871903812,682176966,571741668,777999223,244639293,999577531,704164217,850885214,561120263,150580631,110025599,474258865,479464651,665203750,983236011,466079958,460144500,389127370,746427865,81175346,141635259,772278259,522949561,999375162,440820155,716541506,693346353,640408470,630615834,163022026,393668813,616828456,229131703,2412587,12294336,513863155,140876111,431352122,34883960,448972095,140755480,939015544,734235693,551521290,396033048,4149768,727955208,414964435,947438184,876884060,326702095,626269364,527686663,405861532,657023516,728828355,258733585,876808207,243000351,866023334,412330504,530377894,785068463,355837179,653576374,222767463,570908155,640734930,949208833,38831890,731920276,848804754,695126396,455630591,498936699,519308347,82109727,238067085,218182478,139574790,180429266,522210421,77527403,613613492,590838697,11926175,502335492,308404094,616437276,761371914,184977032,782059846,280001309,11927892,524208726,686121466,858651710,547028887,624696561,774823572,472480839,124316134,326106526,210819929,644884489,1343671,245403188,334936991,262543185,321538591,716393651,917848660,764160243,169767408,609768419,900707996,998511126,983039154,450174782,55504538,547114589,537939590,103579505,89764400,499060390,637576283,922462861,623051201,270377986,890402635,262701236,467001171,159044112,709162711,815222942,151003562,818775764,488131936,848624275,71450854,745112634,262682477,37924678,534928391,665564801,102683437,846203906,291332406,68849837,415595672,553769204,845982950,21588256,813561246,240195245,989724376,535437375,600102086,451751172,674976834,313770734,822853548,600821898,650905106,641246955,218427387,224391087,754727151,681521127,667766811,244880664,362950515,733244051,343444408,967469830,149423327,719201383,182089659,986203540,29011796,870498989,171732664,514743605,375666054,333608574,138562039,862404750,719025887,56009660,682539953,746036723,785011749,665312701,102991323,109988203,433332181,449569210,543381559,78360608,229422931,316273687,653128913,291118305,367033528,354710556,500897961,219233984,226576592,838930779,417459117,292845441,84602220,675175188,945473021,517845033,648078998,160207906,648649914,375160597,606199996,471183966,954393555,689794053,431031433,150102334,916610517,905777587,360890199,850899138,240630736,443669701,48433269,824372388,425664823,285703100,305334223,361709041,717817130,179000360,22945206,346908812,649624837,20170505,712450518,363814046,923670183,638830024,61696735,535131671,642997116,149404229,404135851,825685775,941723964,489770264,491059513,225953857,560213359,37381747,478195287,62289684,43088982,511633201,13573168,590983808,861413758,212187091,28766105,88573500,542767436,814761843,106149206,109265322,168139134,39588156,888956027,963977908,876801940,808538325,796205940,98901023,553111699,251371369,925993364,275332774,353717302,929306911,149942386,458059983,958895709,296560809,978477384,300483889,37755941,752542151,217790131,498041350,937603851,145536104,418403807,523162280,79565821,185879672,278844397,285640054,804754853,112479171,2861596,462200381,636694272,513904413,157177342,836280404,184367370,39289255,403856351,610344408,833280427,181347066,335687503,462679806,676084168,62480982,318662902,201889070,116884043,680246875,553070118,671074635,267975454,957648018,421946304,857712873,273649091,529741171,415926534,528974234,802612655,399987876,846844985,309698160,775507669,903684035,165577354,839728227,23314109,580507739,518326716,339349883,322917474,403780146,101248936,183351208,485183992,899287009,230216388,476153534,476180881,126872321,461482354,209826151,202199348,861283539,443326814,140107613,865756176,766226341,424330470,717028809,498299923,608087393,780066013,998012147,277589888,636892530,915263301,960275975,742789189,869125153,828401347,67305991,401508942,266211210,391178858,999604450,99821455,669502030,671713539,43271555,258296097,246353842,430770486,60303,223469743,159450586,27998647,338201520,795043157,247235419,268633373,612391187,181564339,52570901,236386178,863242103,7678825,473458473,318010217,906646618,879691340,966178235,75780991,370824841,116624861,576549259,944040769,986195432,824554420,679196196,799126052,587662237,561795735,42355331,108984884,407828316,465197912,966481559,893227525,6795154,746807368,956601637,842362556,788793565,825282315,294503251,66141413,501306726,554349921,378508021,67255273,409932925,132510741,839067377,544698248,425052546,454631494,253882207,282033677,473613276,409123796,212259467,219507552,432051513,134552237,782589502,104587457,805099852,621686092,307677090,149127423,738555759,37091998,326275650,383234334,806427721,751437504,438843618,520928746,911631242,202301160,861926799,326322946,499263980,828409281,599841411,867420740,925785656,28711916,906146755,649130256,874456776,617574247,516321250,971095261,103859731,197436243,690601790,777983924,831308642,499837113,342843208,866153407,32770461,215641641,71436856,581312876,146890445,383187688,273693177,724837601,551716450,494345814,39520618,680201151,762771021,956022376,929320618,509370460,498283605,160713860,191768148,586313956,654163874,79916786,772788632,422138495,907028585,733815728,920722380,914763921,868362416,148485132,903114571,798150975,67457889,646387851,99708242,632239330,278591696,179592392,184729438,287806359,407219041,784718253,69721491,930354925,895201432,687908854,836338718,589228052,300509746,494516678,206697133,378463131,490352449,693472309,409918506,220644021,828277036,173914740,204896122,606243202,40301597,153552096,974330964,660023490,716079297,815684250,103558465,982664142,258809696,152641969,202591601,163899103,994906817,585093459,683591612,201003775,497576039,262522396,37828791,277369834,900994408,506017878,844237799,723699604,233804001,899089482,466561118,528040275,288406710,836203606,785980489,628655494,43261734,207115046,696365649,705056529,683643403,641462721,371512969,834555095,201393204,879007237,618142198,549712120,458219540,717288811,34860271,822273050,227705657,525039836,859952718,254644020,947105971,142810503,446633396,780695772,731581263,623257091,312551899,233721043,93523055,437469135,378941459,160391489,196704840,77006501,709463535,419702806,437283271,295170512,614120860,936408982,347034594,93382315,695423766,270139380,252725,803344799,85225899,427296361,555323618,233133837,918619780,797357979,352315640,403758121,699335142,233637578,344511428,950881430,758192197,789669696,205468194,285105309,197163772,312368791,621913299,697228543,875245373,433117553,284384640,470179353,8444376,208744058,372707189,156194697,406743001,434400566,364687364,594968395,695397211,55948840,683344559,979069432,534293505,309084727,187051626,816628362,978579426,265658374,600880858,296245550,542424593,110739241,10276331,91621325,388370316,492914032,276802354,604366877,623452743,806858505,449146410,313894710,886503824,573383623,855827797,193668767,386068605,876146368,675023967,15696195,24256176,660023795,30181978,17584916,691445663,874281186,767821870,569342509,935431676,150373153,563667042,638663738,902389347,952013547,898338050,764972961,260241056,258424481,174044528,454714853,142911426,189317039,486892826,451274134,967532401,469461175,226186167,873568232,24899818,965102317,642284849,515462306,508830842,560504650,758749914,526600173,413889574,679064381,219209453,796923916,111804355,282087985,236881997,800834230,525042374,228058331,893366181,371136683,909719192,641056845,97410286,302853331,810993527,763514029,306961333,699679877,257896013,806565650,537709563,876754489,748334113,81995219,157881863,140842264,670282077,547985458,64513214,405928609,994525577,376947787,304233154,915511490,863968649,873667084,122461715,797712349,375774139,897830234,971416937,186664125,107717316,887630980,378935547,552317867,823875799,271799030,549100442,750932927,181122136,683205237,953835599,799411681,161647711,518973034,458722690,29111485,726813390,711840987,758857822,573611555,90038192,345107778,299452619,194944513,4666924,782941744,54925165,305996020,469147598,887746949,348483533,985127971,508548865,151477073,868536934,80821492,933206658,179469716,425829410,893897979,34667461,720672741,160143784,319860638,198799829,785290106,145639426,764012831,540715677,410956625,391885080,466611052,874019715,484318287,50294484,997290875,399313346,852020155,105152784,204170844,219260526,158512409,707395269,153696777,287569801,620145605,482753765,266302509,215680523,199117104,743997999,899779784,950991754,622097178,420341233,463516342,501647306,745975833,113018382,960022410,291602574,263962459,188116449,954094284,382849089,46590717,348069866,485389647,508458554,89525595,233652481,696516926,24321184,163872200,735951302,300226949,248741928,632317909,136282234,143719374,975195597,55208784,564752192,981124424,223828321,538830707,711313649,66974071,437098027,336175281,590238409,167356767,526276073,514768947,868519304,221412521,816670724,18801863,379524911,883331803,242017101,893190695,82237653,934864756,852672273,416459172,246374481,741868360,280981989,43715295,405549333,415067929,820035538,544928107,866603690,503156359,547226788,97248285,22159204,959837922,403646071,488036984,345874502,653887929,189576369,233490135,478231519,508179005,25340513,26478687,810417562,730620894,607298558,560947072,235915960,398674805,565106168,662628926,312399783,754856819,585232429,597194457,305675515,74459999,377900109,522643437,228637621,861375469,336670545,448349245,829531542,13531289,358909926,11563703,538337238,929960995,192173963,939460069,8389419,890620625,531532432,258499297,694712933,264653999,386159160,448095995,67838328,981277457,348170804,515999819,262238375,381082040,572959823,294562831,87770856,271361957,591427066,563210504,70251544,318825048,530836914,574371096,396777387,320126943,497018950,598846491,438541602,756191772,853387698,411348887,908007414,671603185,269756636,697390505,369766151,756858016,956197792,561950482,404392790,716221604,43246742,624350133,526883941,818821270,365755519,258826429,898101016,664534882,259303149,368628354,37404244,848104107,745110804,381716125,339951589,586708010,454065748,71316035,515206090,237836906,968014943,565825718,890667493,31226507,508594272,50955851,503890031,564294466,197712730,274175372,593339530,305436426,51776934,417045366,690567719,722347073,121887735,636846,512102589,718907937,160650633,414966735,574292294,260747385,191997848,470374250,946488980,641494831,56205254,932319973,887660777,958753808,442171022,589483473,725592812,244616412,117573291,647070249,565860621,858831203,553639809,56040835,118411056,164407534,322194030,419610972,666942108,25802237,221901613,39840244,786745379,676336474,939300035,334930840,121542381,690663717,191409310,283016110,795501849,282921733,362047173,377572928,378480347,316194427,633424204,249498490,249628144,895488240,141289038,272388798,39463673,45049505,376528305,210179894,4017612,765645235,204981814,135735651,571614673,113738763,990547483,157829164,118386828,341141042,354510356,394922004,449842189,871555953,699194617,670042312,447279936,582317882,1940768,98273502,776115414,78997919,190916599,802764879,553454346,103954446,835339133,878234966,854172638,310481275,566555306,4827650,254452092,829095682,858395929,998156182,414121733,576247307,981597730,865373827,490714776,496762144,491743134,177607724,630245385,893315060,732826454,488915486,533315707,135071200,136067571,919534489,542487929,706386933,590939102,237893857,132938132,107694361,328898991,121484995,277681880,107860831,336585002,586712386,273320974,162940780,159093931,210861603,390443515,174031772,947755415,528380380,600438489,470851073,22642529,584317181,77828744,992573789,501604831,626911249,794697508,525999330,422097790,7017574,449625986,100410684,416624579,545678797,1265032,903335123,249187808,68331025,385538065,831521089,93135389,687373064,806324465,890752633,63069127,999375199,222994774,703575047,866218339,511820586,183420397,158491556,272519360,224179399,537460989,159633697,747610142,392291181,499851857,800942699,94209326,538402059,86791634,199726542,496071039,952316915,911925699,180388437,561989133,389876895,754982287,554988352,561502683,404442959,185498990,902861475,235682024,875047597,353320622,276889634,753322412,686129529,817945105,428840147,469791041,71218325,329787101,875838129,824133780,831832514,379067057,526981431,226292434,809213613,222768309,431381502,400524577,202870433,845394727,259955145,187763726,465121830,346314649,320618507,665618727,599905082,754461801,405389186,857018504,889477477,651978919,209143232,569193395,98921660,361997820,616528367,855802305,153283187,237567371,751406283,593844100,345130588,599285003,129063650,113855211,72587103,590815347,640765707,421089207,164922934,385109240,287810894,168528536,404808336,486590084,696469943,608464094,74467210,838232319,539089408,396068999,915599626,362636577,841602591,580097173,280703823,278101088,404871083,914361822,137309648,268742932,884288832,43911715,789872596,892665295,250479643,577329952,576315413,506158942,108852218,504392083,405531695,534883148,392198980,882945432,509397114,471617656,790704890,411370532,114382991,372416505,368471305,226578505,27875610,53774096,494946819,50415946,75099234,269109491,846265466,861701084,116827553,346374561,361055818,895645402,934792876,850250270,694812370,787423986,433399809,245666961,766188603,23049881,955543901,905728306,462235474,82672144,480670745,741215897,199563051,385482569,298635756,851373061,829327678,189727707,128912617,963425809,110802210,990682153,474363121,871990026,340329925,482431799,399925325,255205448,342079157,715711859,39847254,904088100,982786021,478186541,587438430,330764922,505339093,860935445,135183198,769135979,290394826,389008135,43429799,982628510,318762927,500314578,937054149,487902775,121372993,13709225,392449771,162464475,566184074,531267749,301477215,624785468,389341419,385435134,227322135,801781926,188104232,283196615,160365113,581056190,317857363,865785190,937913028,126940639,560715083,826826858,696527655,228660818,341330262,490264674,99035217,956769417,43415017,626974220,484739338,398044696,629066880,511035683,917652682,816666236,738289452,562023190,763721953,811347185,872413421,298962947,683302008,806492002,311288274,758878112,781642740,546929653,86838099,347954160,410800277,708019071,428796195,240381087,111249697,470521723,878004287,749893101,926115153,766918872,313384902,282514125,693559512,410619175,550574002,407264197,842111779,659304626,408802622,365498663,789707351,889638136,334285344,494976651,968668286,954846953,368720128,760936126,831181971,552170313,412087386,572626412,143030824,786996318,749700913,762341634,114337125,628008929,929185922,934028724,491686710,771401120,325826225,202348777,615107456,273284693,600543652,50752360,126805969,614737460,636765451,647109158,94437640,788397681,284207207,382573419,929742652,175298806,716723880,108141843,166305017,616313653,74722255,555618663,518007720,586481551,651507213,488005339,620294443,717100095,9717322,357740149,671767197,910916252,424069911,599048828,869717096,529228725,469225815,515460374,594338267,520333183,541090644,912264580,904337760,231987686,862786820,802363828,537763354,858161862,792479596,852123267,859618453,578460562,215256569,985573552,967853472,646617428,91309097,862662274,110458276,662116844,693710585,168520340,432655071,932398443,976468558,68592319,721838937,730171891,248385497,708534510,163710167,292095449,650717376,384781381,743704575,967799158,323357458,682193918,274946255,995632778,269137745,690331831,359002061,938163282,700167185,441672117,106606811,599862772,634798515,994372954,663848195,594144281,927632734,551702665,329759823,490147282,859850790,760227946,453739783,543959965,579362595,823994490,722053778,677036864,449909459,495166545,730780537,155549731,335369447,570066131,704098367,285469967,987132026,559732429,540410959,159228312,565909814,895746125,770040567,197382773,78676379,953438936,603004260,500936672,218021666,108803126,962280751,493199984,275799633,655325422,117544957,67882297,832840614,895904863,161439503,193914677,999811802,271184450,223965536,321557566,604804816,464713825,416286916,717398357,708059032,592207029,140214521,941799187,319151700,15291444,847182472,417155278,863201543,587064960,238506183,836526635,249795870,81061827,272359471,545600756,371697085,763755565,232618784,426640390,402728803,226944363,70831802,82494286,47171629,763751272,877549282,305117867,138828288,755795023,289702146,678986457,871810178,67193163,120052191,954786038,747466406,370056051,316177627,678620700,479497118,251778792,151857509,7077282,804770544,12116986,303816762,783125253,350517603,46967405,724105147,547380804,666863832,807569095,40346021,800106796,661559140,665173898,280463093,31074576,322138290,599321817,725887140,243145555,760727039,915643557,747028016,361042556,894809813,577086541,989451413,84956926,38888761,665232001,904241394,931570960,258546120,53961456,635979889,345007332,797931551,918889723,728512363,27100800,303917354,62805133,654051042,655533258,645278238,724238932,589514164,805328818,158784661,125486099,219091020,304643090,420468971,757453148,560259634,727239974,903087849,699986947,675949719,935997518,582924635,336469611,614097112,942252990,199221366,831072648,587643128,385735445,168142593,556922810,417405662,329065738,163026156,840396234,607539188,374843690,669697568,316305352,605653073,472444499,799289649,5532541,650266281,908555849,933138546,860990846,623466296,109796920,584498060,350025516,838413983,56579103,434796545,696928870,174463777,102883399,641519407,344379012,227243608,885650530,984889845,872409764,122494110,181658728,589283123,35057101,47380874,721999086,457605499,124243585,41419963,59663770,874399262,367747447,928452355,842944276,508718153,121126902,46827602,515091845,221428344,481888470,567414921,473194436,209389437,228873364,321061797,841760778,985486962,405734041,315771199,451485835,314407439,379378607,389414735,287736463,449313374,140468628,388856224,956381493,718303417,58484561,602398830,664838024,686643003,613603750,416297718,281437202,283723289,993700708,446290658,177070294,465380303,20893500,263180947,586100343,641350356,568064335,430067240,814200544,3567442,678205760,963812405,5454662,882118012,989033018,232020473,802258265,616794291,75840527,446564186,60370171,377084395,45837857,254027712,863258937,633787774,843307359,901566376,458479242,908727799,111114474,79109951,937722111,489669138,457376752,355603028,739521490,458955330,810060311,257754372,283208811,932651230,969919994,659432050,227733030,374222468,460275823,969601145,462016313,503905488,206081523,783051750,972220761,384399402,709208064,882127022,539417312,660275008,843606073,753053480,613537001,635216179,160997453,131114301,471532844,20051654,632054216,119474483,739361674,387434727,388506446,720667059,542357321,30562057,254434164,507337002,293416315,113940441,333855272,838517635,236620935,986007058,438968291,537442288,639470852,871837629,316479540,46933564,35774178,129419506,201279556,821381798,778839415,886105382,344307782,873550367,588711921,776177207,573848830,282660687,580938295,581281942,667751962,690934143,346412941,101867075,372732157,699646389,323269763,314915448,466933915,284770712,671865971,955139052,760113685,884388647,100895882,915695156,468675065,540590271,290183982,815685406,160613378,355143423,313432517,857543316,462823962,734821719,497243277,29162460,825376784,782906448,406882721,908727777,407875032,60288004,232623240,734861264,663842988,470879842,507767374,775478191,75193663,155859958,915445869,707415831,261309633,622736095,893809054,576939527,351804799,648225574,501509789,815979444,766622992,153700874,395358500,713865332,581210797,481445631,549835015,301304300,291888950,747924108,410371589,985582887,571929626,551675702,956029061,82402804,104893878,66460170,145996633,653756537,76854097,522675148,857601709,315350935,609872790,743056100,10290668,850978662,646002570,942132543,457137174,953034925,626565588,956796768,168671130,618518818,482762276,756169102,773830852,564770931,156236886,913541838,198264906,261270788,700151910,982850738,807514705,642484888,268814421,973890390,332393578,256226335,548032193,746276232,14965220,449203065,475591467,450927734,402836993,966379948,487886229,565109301,109377857,330244610,483285356,675611747,149415529,587796778,558422809,460546550,482836461,692763117,368508689,388202470,60954542,808758825,562888743,572765398,733029857,861904455,239842326,667100302,193139094,842664278,496588707,442737485,865708308,240037998,339091539,644030248,217276417,547790371,777551319,871591325,699568382,256522539,363115456,578090236,20691150,54493771,509875932,832788116,83775256,95923646,581934307,137616677,231504737,957746752,29436027,59584405,451413067,54874763,816668805,671229567,930790237,159583389,251518215,25264721,196288042,852221960,119796398,784199117,157766725,376689328,63975925,653565846,275071181,320602829,724419619,242348220,942058090,234941555,699563922,722092216,389102861,996276086,651949173,939328987,266073259,929687564,337930201,321325573,559323711,686055839,768403546,743141393,453550650,394859039,379778228,738944807,748783687,980799175,652027468,659289120,137657,216327066,64573497,480953810,24610623,75075422,423231718,429223716,102480287,623920276,50111737,188594822,60370349,278101133,263020853,305671423,470437590,862999123,208103445,810865801,708568586,191082083,391324720,478227104,723267228,684975202,125713971,904206207,192777025,966349701,72157773,660603727,777805510,408625874,663706244,817508868,34901011,398931444,218679528,658381318,366280942,858991986,936707950,558481535,985562464,549532782,385267796,293846877,457953406,938874690,437185270,797469272,887022183,252894543,88926513,170406627,735104856,512459895,208178933,871797316,473165858,301399145,209816870,598145315,309718012,796305091,498066683,17825754,550528081,621451166,649476299,355783481,741641622,759341721,433099985,501565184,88932769,649961467,974813613,675047827,116031492,32019323,767376963,86999109,19121768,474828967,358541041,943322613,982108093,708909189,835302523,726689511,999142504,534362710,316045480,34619127,575619520,76263275,969949501,114708174,540281884,622786878,957492434,350849804,179298647,313241771,162586442,142158064,514242080,868230450,820659724,857540468,785191701,362891153,486150784,777170000,492026078,798039520,185769037,753102021,853606422,427625100,639257235,535604816,995321504,262393481,815388674,422697295,48147555,676761599,154286519,48577932,815833710,884125321,632970074,894235738,362576464,159328838,35430185,729499639,436266769,776649271,120118498,570513597,701421691,115980820,71416763,579528587,987804530,484822013,243444711,880587221,922859164,884909783,851959317,29399536,369343603,505732731,916593763,510131119,540801054,653184030,187753011,928711041,709847553,506088485,782679315,522839078,418168965,709002609,90270500,248660466,560190737,32571711,230044390,932438923,976817630,939838531,544197230,775711724,333606106,671129638,597233748,883892508,669845183,261336736,922978719,795998337,50608423,246799393,624467322,59178255,24046132,703440979,712409682,85546089,852088556,42170354,948651642,984162856,237823862,421154555,199897334,558134773,607149313,638523761,833666516,991948550,249494963,757449586,442347429,76119307,390260552,884504379,392681516,166416488,649194582,218541808,271187088,383291635,796279794,274196696,684405333,548472713,906051184,751054300,485586257,144386271,888344929,74748512,447809936,583446762,19581893,894152515,390460861,488528169,652798618,14444536,175632075,987455175,295097537,973540034,460323872,105249470,649043995,776676652,282150216,714310662,718779979,398223952,299198175,328991635,36393279,340221541,827920729,457381378,684680628,929119244,22354383,789137600,650408687,444549636,553665248,582612189,555590739,212253201,965989973,594239168,253608745,995768864,457435154,543035078,2248885,654759280,834849662,309274846,530083128,366691311,660961255,58619697,728295044,587707606,102357175,310094318,288080786,321338701,1182051,220156242,328295173,592034956,901287287,747865792,188106321,589912844,852171067,740059286,357949380,384644691,588978300,523094135,217788490,89494962,180234948,736656731,318943299,160499898,291398476,922693216,777437558,624086432,148456182,830642854,251624795,423970932,202949644,491732252,565132469,456316311,27294474,10035858,53525883,451859416,643412752,733328874,969411146,822300500,762025683,207013906,770417506,488161061,463677463,322997933,315725620,319380490,85540312,434546554,387080446,197991575,300705099,419718760,40408396,478262670,871427645,310941319,648344704,891769098,237210541,144998535,650827289,24862955,856412834,484581405,770849262,607348091,844430826,115986906,425338034,674728775,778769777,991953447,783732657,982255925,836946564,681235788,798397769,363445362,925820880,894609452,131751947,918886485,167128016,776091654,902179214,670994100,889968414,970130491,862844392,934921294,290641727,263990486,2864898,149750784,876099263,128683527,886820246,239679034,949634624,621345277,818023832,990247814,435235006,48977319,453399809,750024669,285359138,114144531,807555322,809491321,162756319,52291363,934341339,207246222,118035422,171790607,857212698,24839663,499620264,578997501,345718438,205937020,82673247,453471154,231577118,303131208,39853326,518260968,569328908,63496602,488358763,910109771,21360296,558002536,704131473,697249226,711301632,129597963,388615960,943869557,143350160,988547273,676227895,845462245,886626767,528137195,513788313,668898292,269084948,551154063,807788613,26103586,310426727,311339013,834380238,154493386,483695126,289318437,586280190,26548261,7283416,89245440,360280220,952577866,816747470,557028923,802131872,508060257,620521231,474537912,744825374,69604801,308525730,84695174,591867610,120212845,175611464,231751606,446624590,845826964,430374047,527783653,969359864,64822786,841062228,316631041,826138528,852049229,412712052,561206530,121570441,444847715,840493482,709945745,848677410,245960863,479574179,472697818,715320524,697320624,720393157,747239366,729294919,924468096,295101091,652083784,885843515,13371458,148593491,205359243,734589082,59728493,884680624,18457062,822863653,507946405,973450327,773557980,496486605,255558398,706776931,145377721,406410711,79570497,939529110,306324733,486148326,86785080,476541897,653840476,757250851,67489028,126182943,69140492,29574647,949491848,252625109,73599928,672348729,149095247,571889151,489380583,826090102,851865426,848630840,831143770,927940860,619503143,129907681,772739462,794501576,31304554,311155653,332351895,333654826,116503577,73710831,417918694,368975389,133068778,354758169,248430663,15843119,336985152,295584574,600987564,636887706,838429041,188235390,324880755,388380709,336657773,879941224,848384691,36146591,600276757,728053496,707376712,111507621,650811524,575452974,152463533,490815455,416086578,168615573,481769626,952616323,471489029,735902093,470005652,652087958,579245266,616320015,704325889,969504370,914774334,503395228,718377621,800321314,662138244,6305005,530296332,981461091,549347225,599600263,388860091,186879757,438495100,617857424,385653770,90478742,671507059,254842250,135901418,733491512,150922238,379157592,799451221,233502622,625804484,466305954,377490104,688288485,273241383,309478424,835594738,720842300,982357554,115656373,834676933,430478248,503143171,173238472,427571859,921830248,137338547,821487827,201615458,886867187,793265870,367463903,984268128,298311787,933911332,565413266,268896445,839990026,666091212,881359265,580118873,678283023,842096409,170481283,140151982,488301253,79449612,456525577,600833054,468411945,736193161,204745685,37032092,370242281,13723900,706597542,366170135,553449206,569296242,123730591,374694847,699909675,288651045,603067735,738244691,508276561,174868985,490936549,633658369,463863416,557658950,170838087,682390346,808653635,943357045,550973281,216486041,225356018,509775253,289879348,301573230,959442725,97256980,142519622,182283062,9566189,200082690,866306861,752394944,759729168,980275533,420244172,238861132,906712901,295687898,404613276,427586780,381750141,862864683,1297251,692368336,331106344,850796084,299866963,523052043,429288334,25186276,356164021,728677867,170361583,672968286,575731929,651875664,309149936,925208609,262290293,932961282,982315072,360354091,299742556,329332864,999362836,28981786,194400579,772952052,470546122,537154999,169370061,229859370,965311921,193023775,742834672,530940332,421685641,381773403,232062151,335332054,892876981,760258017,85394643,4113555,464698385,596152962,71958802,788346187,454850605,120047356,516416623,999972,895426000,728187299,406064332,782153642,893692752,594531964,563093747,998362760,2470949,745610253,371912117,864002068,336961344,667200436,887467851,596158984,710380000,705716631,400482622,88539067,316535414,348370305,688635391,589424065,608234029,859934335,388684826,102248102,578087852,493001442,828276357,687740139,222207346,508622193,881707278,728572102,175115485,815903101,979166259,882084880,181803828,848406949,754930462,284981828,637872412,927494091,810928174,488106964,842874688,950530136,663699859,136630003,512462453,57083877,794411550,128563213,232761918,342805214,266664459,944621031,144624113,616825274,819704090,110505496,327014583,188440279,952664801,400320523,964563963,873409756,146866028,828094442,768323002,857632658,161127238,315726244,876211356,22685653,996418457,326989922,640691378,217881742,799952346,969841960,13203400,396902194,173428387,214927456,368687246,933091033,162047364,888555110,268534779,628182257,275119034,712025845,924630465,680414136,50237978,82220767,680036585,344010712,809251897,708560156,638102011,197079394,911366089,253657728,986003455,796774641,246833453,948657485,301873356,945127344,13951295,513744554,798339102,741189932,535287569,613469297,253605547,1800560,520562570,277329926,589477608,455945981,710430285,582489850,281384298,503497045,511891915,327161488,815717416,152401285,286784010,905234567,203714002,196367122,711385025,381521303,212867426,808606469,201490735,571210428,411262499,487552031,472149612,303203536,941803373,782042650,730217815,873280843,704363366,274999822,741983096,81083702,612976873,662209987,755129588,747170078,958476579,573875679,158311987,923340080,591023194,125553023,669213501,675141580,358827979,810069312,398593225,214054304,97179496,402183501,704891888,408470632,62893040,850751525,699273128,638930668,777603883,178499229,548549432,863950270,113794654,54988280,904685702,553679790,187502790,168858834,458023718,268917259,187500090,449289589,662285318,596185633,838091909,913938334,254746751,693613635,216642677,822697343,845363251,495885321,601677789,839062432,529507783,64434825,124296920,987029009,680068745,127374444,118834555,2863136,661605656,303973869,290671081,268081302,191082244,105040655,221594662,852198801,990747204,350369744,865784729,92617364,189209287,877466513,464106106,837478816,314890040,99640989,599094142,532323373,141007793,494106325,314313824,494957658,610530720,445565194,977675134,4162831,690435067,304133372,310901006,295135660,509659227,76544957,292505392,268905771,94637348,2141479,591349,999751743,50435268,438766902,319327131,943603117,945932314,851492293,353266066,921916622,34607418,535111543,779045629,939234255,704958178,152340085,803905944,851486590,764036824,335530310,141690159,57300842,978841652,654983930,577948888,902078083,11946615,645331410,673198746,1335135,929713321,124805759,781712942,801702334,60398301,295550045,808315346,712263022,893729223,156088814,896992956,445648173,281250759,68744316,111605468,2694717,811568672,308290290,667784634,790379514,893833336,304567376,546724975,930197338,188093331,865622934,437728777,738051237,949881258,582849525,421634580,358930384,433522582,997444807,835962371,80001165,703265196,313693843,883368708,687318883,350812536,59419419,319853683,883314210,730431335,431816450,654909009,180773041,817249814,591226173,817098197,642037801,164700715,903855940,110382893,764489475,786116710,904138969,684286306,70076604,688581605,726297464,875997579,607050254,988457175,346361738,94055062,301162263,468770888,619303949,924804096,795592534,472202399,90961313,862543137,950915502,702164228,31069988,501982936,576484821,123640743,57857243,760091545,365487923,131861923,945679602,968529643,515842042,143240508,66563648,468839898,614832714,379845205,91238117,20445027,762640657,214381176,793464743,326816402,517970761,86736295,495731745,256670885,214985148,644645537,900415129,833914612,367176694,990901929,617592137,373887206,73800046,787723641,530025531,303535023,500286414,183716150,575715844,216829638,579272370,772185652,465263202,183765672,635682593,637777438,992250701,365940458,924368015,368262148,528051475,235237149,81920684,359616699,158143666,716277680,646724350,976010441,999016025,758331349,873601511,616385299,576177104,716411532,404772990,123753160,206365718,556683294,38244380,228998209,361418778,918986179,619334480,618354149,53220092,687276283,665548534,409701167,460966019,728043238,544502818,235621922,974329286,20768706,182976962,427180766,533108884,104547960,159552897,416392405,887195713,782476209,815802159,128584236,120446613,656565750,308140529,80421937,538256581,400067688,586391470,709818641,175442272,776423691,160106332,52141345,187462193,465280658,240836361,953256800,115517311,650268836,211828638,581591878,448597769,653030367,113127542,136099181,935743748,785003456,671853642,314127157,347543101,485539181,337266127,137005206,262483544,89957397,956274660,489851308,509217124,699870532,722504877,687288149,80958156,923593965,218068021,779683339,40191735,904853798,64763288,406745783,149493121,640487989,560485689,776971579,260949072,312976058,797959177,926147519,552226611,840171430,269432475,803629266,424979420,626903683,28257564,449393180,944641834,559936177,678731006,184083533,878856587,269480454,200299500,667373228,924250489,665721615,960238012,6727635,379260533,572573842,385211721,475175265,497021086,358215404,817942701,929188049,503698688,146232100,576432156,410889648,112733364,356303678,842731274,814370712,160788762,126499371,939376998,659977549,402128272,607092080,434298277,967084681,352728549,758358634,776552580,755540341,567726687,530108302,146170195,874700841,121065119,68045983,421747073,583020202,917379575,97835452,181505544,499338528,243817826,948719477,555265455,553672009,200744656,51474650,328683421,629523782,785899411,168351678,668699603,831769140,17817315,425505758,193139191,598521512,848386535,199706918,304962698,941580207,735919415,972257645,100240947,508565612,278143450,705328572,665316131,276050948,588010910,469642376,341002875,484688645,962061392,583830187,309310593,926272169,428866272,354652023,3942377,836012099,842534737,579243385,101811970,675727877,194676691,713007107,633957873,528418921,11853540,74639221,762966141,952860996,948616442,235546288,21619697,417013153,214490225,799646544,574538880,64608604,620334747,313074201,827563971,285238441,967787908,834579147,483507992,548511006,365595377,897113666,681185187,419441343,481039056,701515035,47359321,711188860,771636380,19611126,171606143,964319888,502443315,85594931,666389196,930019124,288342833,280348017,364967058,1114430,975099259,157220170,679655924,242877600,575757289,919657510,744878398,355892191,18217738,903011018,792775856,881706992,423320604,794069670,22744826,317460690,88979808,510574340,283456524,708836627,377388551,823555837,404458093,670189368,217893605,517860330,644814471,193938569,861430452,7541238,352149717,460773988,970420740,126404776,274799131,597160490,469110459,191452113,41674181,665876165,468257306,367842477,77877011,766812461,597496308,227052279,791398668,941197176,166215242,943538232,150425716,794878484,83852550,76248764,820932037,822283190,720308108,963179387,379901064,204021943,955364626,708629417,601716868,945633726,839883133,519892166,86541654,903686202,849233582,671085109,772010318,674261714,832231313,352999885,364959731,467354166,502094587,969322994,25040656,81269788,421601736,536289868,403165159,633125706,66191573,436375500,384762019,8921969,672114493,309651440,264117317,196012653,229300836,419090827,928629685,620488182,154509852,212913607,282020715,816040296,23919458,332585290,39807784,421912483,919148346,114382555,760429159,608556106,272592431,9053834,525518991,810500871,793745584,167857753,57890245,271774821,586873049,348538384,501250451,800425893,673200903,908156854,15077525,577253498,912815107,38719967,689821603,840208776,83744557,12746769,854356059,12181646,858503027,203999927,668765690,878500513,514946667,876769137,462915843,920628539,490646110,617220827,353842501,797121190,616024083,317078773,243343900,433201206,465311347,71422699,621646320,620977751,256953687,768171628,647404300,536760161,590991802,121997223,991614184,923935749,403638127,355119757,252331200,434433516,212430714,322897592,611649303,798782990,701933181,155253372,804778446,486095096,508308132,185516057,82078922,531829953,922361573,561752341,53546122,882329757,229680135,100915974,180043077,734747946,4649066,837110082,151157004,160569416,77680700,191945275,636200935,746366588,984738294,959655455,767135935,128813184,721623948,371194415,917347567,525631953,52106338,765163843,192607547,913379742,962891345,187127876,893368590,735274037,445718245,623538902,824274989,458367351,831845406,239866828,61216781,740792994,552661556,251975811,977836669,198953679,657600918,351028560,725906670,330646327,965458296,246360167,430574159,791465144,56784092,102906328,912843226,733180937,753327985,772302032,95114603,450698020,144309864,614947917,384920064,781898902,468321491,746076617,109265572,773188399,788684627,268094882,200107432,460856640,441692513,891622547,259011624,509212290,197603734,174132604,345871572,981277905,296265665,668984997,369997733,490771800,859426004,954629915,70508933,392742724,669046615,575801843,943982442,351252792,125208151,199434927,649343486,354794837,630252174,213508909,414154929,228136371,747422508,777271407,231117820,138080547,241423211,24660981,382456876,369990211,257661449,125358109,67859854,795970385,550974713,188650784,763747994,120651132,752872598,137262124,347455152,934836254,734641298,723195800,874312962,40452319,750784029,40417494,133686508,255699889,166405532,152678625,303370737,621360569,262871481,954522004,958894350,453734831,858477364,163704476,276040863,708844007,261808036,757747159,865376469,571839548,786741102,138216288,488206849,836952556,331226441,597548259,727195858,224799813,933379038,222311115,198059580,763091639,315258616,762807618,156958323,766430167,390052946,801085747,317258593,817771064,313221220,481923357,216483786,195244521,301970597,878019175,347649364,227143920,485764253,671382009,715911573,176275146,861348167,85153845,182100314,347827171,356951269,417391666,414547360,546214212,403662778,603668638,502834124,853075596,621937179,316443278,244946576,518623090,384688490,840289246,307052973,969461252,433218338,233614531,328397228,356937106,744713093,311071671,265062676,354362246,804349512,621818942,954035180,638364979,900466667,567918230,136369507,725174468,940771380,628182590,525502392,127828451,680802163,107320586,722847079,879352904,67804011,427032431,752692420,702695838,243993679,977219270,89722660,185364942,248944230,830842961,521142323,33320390,84717306,789923144,800297145,927886118,187890744,634774578,189544765,129015342,153737705,628957385,365099991,174167704,828007103,121378649,503935726,384270805,621804634,225190181,468631587,517802716,567113793,826443952,71195003,163162644,484066064,673227034,647206986,854992382,692629741,51113320,362804389,709591499,186042154,599346491,240168884,978926693,682674797,210488673,912868543,115661545,754348883,12501460,706703069,226475791,552120482,845514533,357882665,982554282,411457457,593984292,7495405,227890338,821503315,673524178,423928623,451996834,456163685,548300219,514954106,925905043,212748475,255699471,729916721,112632435,127778159,223477947,466095464,184224332,572791053,270608009,741375617,753993159,664793086,579474172,231951067,658023479,431332106,754365140,388638432,164011880,280519771,501629435,801615536,185871542,455314293,406509295,616482973,961961178,533425923,701294183,515940007,546133033,261226834,50645875,72226894,942554354,618813181,170313925,609993303,865042731,446998825,656273234,965285769,93372471,330430010,235389234,853140923,262276171,576711497,370941423,893709138,295750035,158846524,885857280,770312840,574914795,167358944,377805141,699519489,937368857,756570208,495067860,781471765,18258168,775618568,288409504,138380625,401571496,424479609,632741739,760874012,973499911,412606301,294615803,185458985,534337307,481048518,422283636,489875247,332874892,685069586,863233151,776952014,182302781,511798179,627927289,581795093,857247500,355819022,684638353,599793718,553254780,801946269,231197388,209437007,408585612,124231183,729927899,441864381,485685119,90268775,715544370,247200326,678901835,415422119,853164222,165836622,862690615,229412853,90676573,894615566,566093630,27103899,830920047,891975149,278489498,364770977,548852133,602105921,699850000,794738747,364949085,607735083,508464425,262147291,200797204,781768270,840329073,17084157,452473519,521346987,176065291,356764634,990214226,416219162,136911897,296393774,200811956,317948221,566102589,62059832,667568085,544619539,37259088,761920369,935370720,317441846,772588905,127039326,913389303,650564845,124756034,319784165,920925622,298540510,925542641,610229503,466803539,739233061,879675865,684556377,247349489,666448556,820967198,547051237,878748982,487998796,340961324,938236037,467390262,630834080,599213990,802071175,652486501,86011465,930311830,65625327,929080173,240323694,283181862,27315929,369839716,959883729,466978872,415118073,194785891,443556270,885326618,100201939,311032592,183147826,993551520,402165744,779956175,739531034,931614863,290056024,387469522,386737316,469126581,698099004,647375485,700321345,10038863,406472585,827217933,622633663,505720368,988041145,670112062,500978805,962738921,642513765,4621962,301835372,380393792,155569208,854365325,615468577,449306177,81064894,320440343,975797476,891832603,227744831,592639657,227362568,182432457,344480080,527249201,310883716,498458614,477381485,556383432,996882481,576267725,799009273,919257266,852216064,693860348,275960216,545670326,368303977,787399212,237314144,740120178,544910277,470769903,879081535,435063642,192268681,637572398,164013629,86077978,94052914,640301224,245846347,725172430,770741952,646324465,872055719,356735052,334377377,265436215,809136749,336446787,318389058,747357288,271695953,914300429,216268272,114685468,859013212,721196002,380128039,878718673,311611536,585506156,457271396,758677730,389262679,835862255,48224013,295105234,460945779,436259030,173327372,59885531,306165110,878444256,903284231,115560765,677599439,661973445,746701163,889803963,890623234,302162456,447920254,898197764,574863291,783583678,591908792,910470572,826406487,711469212,40725902,115483710,55568779,59053864,676038743,390929481,18042476,541362473,69910719,411146835,103686822,728758379,510873321,236263533,124605221,12929519,596542311,498732104,35393780,301902724,478915245,703280672,533420085,136447718,45285853,231770302,837485122,607094990,361189843,851657971,404964952,754432585,576148363,618819799,405174915,87298255,772213436,901863523,753202946,255843261,963562272,848366989,786502775,878178068,177705958,322807567,894557192,398734605,346053307,960916765,565637429,315445994,587177009,682416824,746417694,376278453,612503217,726115593,830106423,958102776,953368189,388951068,747270736,453447764,860586903,9991163,121583837,210906045,990615624,46162323,210510833,526996144,980303915,13817129,759962434,687202276,25931626,400304508,58366042,603759553,671696775,956157741,898319879,785978393,756273788,203468197,790454803,148480688,47330838,118209117,100645001,563092961,918063661,446356274,156823576,850528315,520921802,961200664,826117357,167140244,615734701,437169593,443097258,418614500,715380517,866945532,511793950,997258022,531659221,481453467,305976533,368416260,145302375,217754477,424956265,785141777,538135517,133916451,193914643,135884502,538586411,628619979,988463000,357909847,634809572,952847346,631390208,538408178,85541566,302244234,905687573,109257416,111954432,409346984,48885269,486631813,820601187,857481590,252943304,190513841,359962455,555918245,222738361,566021234,660980946,598103995,348438305,330688431,847094478,728324818,299028611,690265077,999757978,278999317,586646403,671335545,992907265,773375886,789203887,187321288,950513819,254082918,85873463,443881849,568576368,423455640,313600472,640232875,744618830,526949673,684715101,627722425,956786619,886408251,390848192,351828560,125117381,736593769,327244043,157746985,877370998,674587392,386601990,465175192,468879152,197494104,999540253,507855139,811892856,183717337,756130956,746121641,549781844,619118225,650915194,588089709,348947314,798202983,394895921,40420098,164561410,182035336,435959536,654791410,917615623,217038833,28448867,527223582,730885934,714436004,968330152,815433291,961152238,162978789,717332277,514342618,754816274,112802993,840477176,353423833,696223149,880989637,508379926,311958768,148617510,953316785,939671874,635573014,698041793,2090401,148543071,435933186,627107629,176803857,637473307,802738224,291544471,730239969,31550680,554833965,437939187,150697339,156942867,544033797,864347471,645061705,519656175,65126648,810361137,939596723,742977122,624391739,702678995,273056605,607371221,585731355,880776136,25593310,560506959,514394014,642672857,457301282,726080388,199707958,677244936,150285771,129983140,396153090,141327050,913923963,435648851,365001380,493110758,70166917,465374480,318394835,631669322,659695493,242529544,440066723,285904618,366893681,209236263,148092110,387467015,921266147,467694369,896311577,571938345,647807418,812010802,327058955,996536064,480866620,38495645,460752683,389765416,58411395,940751096,585024614,113674812,691736925,572345219,809757567,169404638,906886551,159738863,779482409,247722451,460342514,114319116,50689064,532647549,177707461,757817807,505813667,207373386,796632240,802522240,907123957,51881847,279956140,921535939,573841236,766315280,920234919,757005215,872763637,704196636,494744117,396277975,296307374,591765299,346181866,192089689,851202199,758848708,689864125,940790344,383715371,985040208,309171320,59707461,957620305,107645189,117397342,586312611,129044029,8219979,372638351,191712898,994420557,24283022,945733553,413305392,989254409,333325158,607557234,767197509,802631897,463425641,582605455,567497737,515603005,682016960,59729496,893627408,314284828,797076221,670506861,877439626,752369868,198730176,810932189,928770848,254457092,122836855,308740091,891617304,191520147,241924709,387211005,547900444,937669953,246395318,503560761,168693547,228653723,711913442,540912809,94545408,557984583,1245078,881748022,625176489,761990619,114587498,647809734,41564549,227051085,157593465,374937241,105319437,909149954,666234928,359496295,665351675,133544979,975813521,50670530,280697427,276268456,109654344,483471480,298461461,30643742,535216927,157460244,268673226,461080498,272884373,519031517,609705266,347445915,451031591,684196823,537168525,636681222,528079541,696493420,448119539,420583408,642707458,579304222,907912475,984834876,267924670,305665158,869013869,493496057,707287934,367297916,242878119,787763095,692888343,848194649,522947435,510252688,691614457,5653558,725038474,267917982,970927080,714560775,777596539,780114500,128418688,409984131,966177155,161811944,218581729,605950122,696048715,902192611,48333221,300108585,849556709,750081974,531519311,921586454,169151282,780706253,54591706,297551124,513178521,538794615,549290163,624433306,585924518,831558064,276977174,195390212,243881931,694618000,460886935,224867618,19826687,624714273,208481210,388312684,334899037,438323225,981308760,634520730,263165737,53200597,1999394,398618132,401117491,848815533,484083432,133022798,126527304,604519033,354197048,160113250,535921839,572438013,853904729,666394680,4314266,770035920,60962035,646284342,148076328,9481806,431096385,957009534,261744060,258044038,215682837,184819378,568475105,695673757,81071933,87992935,400223151,601186170,717231724,759361786,24563984,965552671,287563439,509356160,735036164,989412056,817451223,159743982,800142601,766503143,81138167,263344346,27174536,675339570,248550925,673136964,746818768,616594570,306895125,136576321,782373803,705150146,583620182,567862320,423745907,458207929,267297415,523519994,20883895,173086686,823159483,732596739,273341881,464529049,240337120,657974679,671685743,864128357,444296668,295842489,133278625,164737244,221793998,267795811,369622611,731203091,482744217,951847242,977045648,715219632,874427308,621853896,526657220,355094824,917958978,622075444,569638030,422447367,690482898,496339618,402822395,726689102,417078909,477323880,151876663,967053765,147585035,274446150,174440582,949203388,493627212,441544324,697511244,488194040,90684532,491471055,707225173,49033074,662840348,62026736,665474651,234210580,985181622,371061990,55316251,897767753,524518235,902804690,329753286,796531734,483671824,642764181,587038958,800256519,386519747,473850033,969562456,56843830,829295437,183344344,624343905,200122309,997594741,701610342,778061639,935484432,635825790,29787310,185721997,616876062,808267554,244897277,697516215,991922124,488158531,842977923,171956098,872659942,874419473,949136209,908983934,747494633,389936595,574246956,911927175,550388511,658667973,529139130,400774404,157530372,64840786,18995673,879854357,144819528,901819707,296111201,710884687,500237251,364789162,692670691,781499559,647742203,136057253,40877760,432984110,605546624,401812327,704075525,943682816,760415810,488372329,204276621,780909155,549570579,324639664,749962609,362747852,630788010,561312407,88553019,935148001,990230602,33878177,429790504,783518949,917362831,269126631,581220219,549660531,286570756,927915484,551822462,539855385,314750297,297349519,884721085,223396889,915065779,176719517,378124805,791093421,161382912,841208577,566933216,454194914,400917539,134359473,370969526,739567083,188876560,317570351,38065736,379774550,627353681,387315004,843069633,208493545,975294447,996583705,680324362,151573017,814310345,974838269,716270322,570704860,284109969,784698763,451045254,895944912,578827172,393198947,256579217,9486253,49790293,381073131,368145613,650762095,441007810,873838384,516696725,326284337,376396166,527600180,328813165,101098978,27193588,239113048,585344710,354519745,771897029,920810308,357894431,468701469,323919924,82381194,270464915,431102890,474901893,436831797,717243102,727272610,499276539,657652769,984908923,47820084,595719203,482593787,165856697,967152153,258371043,565456680,934093210,653863281,625176882,272983646,828986218,734260347,587053686,120861324,647043694,596054062,817413149,465503714,794080482,310764316,356874543,118988530,927568839,403592799,683321372,706546719,472737378,86278876,570060712,307381633,922471570,254892079,825775244,970579456,97702277,708321031,450421085,453908375,568497951,747547610,186236313,648418646,263353769,247624271,649564737,905787261,602709702,620532995,876488484,187268405,335680693,830748297,120991470,90766553,87948162,111164151,661328858,312584865,205898626,822234884,258531061,357321364,15164890,928068383,527654226,414124011,469832469,815568,848217544,501545418,67828443,478410850,13804170,419383259,237761910,852420614,422570665,52350656,293458628,726019374,29800534,486958817,14611692,293978275,214327063,604667431,143696079,312889213,325050671,441677031,284641740,217726013,144709716,661620621,949974702,616654709,299253040,255499578,284238890,356537911,86666320,18958339,275766219,326616788,243838931,419136753,952840052,753741988,985432100,438530732,245318829,683782613,628400481,97889651,340929468,598224890,745027202,887595874,300041789,89590584,746881228,31677482,1671260,350723593,11478658,755803856,346982972,536993738,731222607,3045300,561531385,243423534,19694828,371561834,359292423,6137966,352565297,750484461,778286239,174830098,881976152,817305520,598730326,882119068,104434305,264522105,915911725,651516330,51882194,258305683,343318582,867581203,971367235,554004515,304882651,581331579,311171959,956371301,942065047,883986420,321343475,166843811,467443638,446409956,459454543,821233981,753348787,716214481,74814624,521713797,564221662,548688728,733523165,772429959,303027483,751146472,350507755,900042491,934164836,649105397,596894103,604472121,44997183,552196020,83341176,189832205,918969369,658979630,27463498,712985190,752041475,759393617,504075022,31835944,295867108,102066641,43739782,6950290,316864104,454874777,757219644,431459876,394988537,438443278,199908797,418897106,302260162,405822694,987452674,882352364,134529577,104081811,176742229,46630185,611113397,635298988,479541344,521782234,299698442,104545091,99472373,228319205,285593215,219999405,85790495,114622808,85754571,20761188,165738126,99063222,802223371,911164144,978227523,420603159,740212910,73420065,880554502,615546232,627412622,639541300,647905951,326794209,235885234,296250347,786875846,657286213,320377820,580938474,432808441,19986775,358112824,610893222,818524154,254985542,453417629,964618298,106928950,600374427,630381545,579857459,38545926,78919135,237655387,386990325,324700885,996694966,248078569,411790864,692828411,85340667,710443923,592476510,380934321,471225513,324749250,12484976,60242425,924517476,725195365,280177397,794475745,353518343,989614164,197169163,872111081,464834761,776683306,532554150,768895915,62869182,452437598,219001840,302541444,752835269,952071863,445535387,289310155,820429782,237361532,989877333,460144375,448923055,885265985,633254895,530438231,831244218,733687778,27712070,848740918,993504663,326699861,836103268,669664479,310513539,901522397,33051821,632303991,893736302,923543055,834316875,321325196,476539145,685930796,814224836,510580591,459580425,309047467,577895036,597971480,779788374,243019163,923014934,984597985,67056924,439367612,652797075,358248243,444896865,986724080,180089626,397066861,745639543,589898422,365061422,819781638,305903225,757187552,110266511,102322451,812443420,37885197,58543760,91403883,885580294,358392917,987515816,743332916,690056805,360650568,599156247,944232572,141153279,656226566,272734265,334372738,698043819,339198059,237481318,370691039,960721406,523963782,85646309,647916149,861437208,551171026,801897193,597759693,986657850,491561650,430819533,771437201,278117993,853266521,72943770,415698551,660575225,956009553,47209912,634774852,99368383,356706988,95262621,405257738,661414312,713407022,224992567,236352605,876469325,74205017,760722341,489660432,736971762,301957772,918015742,386751640,118676310,331613324,806378526,991119333,593728443,530840802,555648938,845670521,83163100,797346650,132946833,655597678,344513189,148440544,138896691,232922268,758213332,408550671,461099053,299025174,238560055,232191711,1817987,191828530,591381649,291595061,997659071,974940747,414518428,607302492,831543466,286269185,673441444,64915778,832420948,558000905,808296411,296622409,735203197,255503385,616408978,704780680,204650250,492329154,823257201,501111114,335221540,161848841,348499147,540446496,934363143,560759148,448972119,91870200,439129205,667378390,358492301,931836913,614808805,498068309,40702231,817865615,121361620,805916696,302956795,409829210,631374752,432600906,16225006,219746147,580116788,576951983,502908113,675032410,794783231,489115197,270454797,341424710,82427102,12855211,356104287,745167169,103714166,303830227,628476707,599909630,909435511,978357249,804868352,551400054,773403665,571123889,79267629,875155648,624458785,368702020,268319424,670361846,915551526,708150669,183895296,788572939,316523138,526885426,609015012,131181436,344558250,249463386,742971139,710367342,97922659,118216772,112696560,102920246,990022819,412639922,846961571,752910939,819055905,762407826,342471250,100494311,396911798,733284191,338053677,822649216,126067517,492540699,428338411,536334948,742189389,782967532,212382670,933395521,901020231,325758943,74039394,557012040,885526621,222480012,567430830,516582770,587380566,804584563,439101688,247174651,440394160,491387855,536762402,142136988,497189014,316247101,473509937,916064608,723190068,58576229,759957252,943010084,772799896,112940466,739103203,578289787,996387609,735219686,509621400,136028973,897877063,775495150,480810759,21456674,298360068,132260492,205639385,735230457,370313102,431106531,414902697,405312500,633716945,706694374,61062593,293440740,413103381,723431885,78557431,193508899,142796466,897931095,977088725,727424382,284129366,213429680,669577682,158738761,896511902,654983007,755551218,365390358,423199925,351521066,664859635,978183364,839570727,13018644,764468793,629741049,979086714,58299830,117247277,53050370,601946943,178398783,619087532,579981564,482287625,405347032,847249780,99950865,635527867,208752096,139516702,845189799,837760564,894197990,576706128,1544651,325454808,558457532,866949605,790867268,680683165,240412774,414506321,885108236,177497100,555598409,612299243,286345659,108997001,7773857,615929085,910150531,139658696,917447865,352813357,652501142,354992648,900788601,10386914,267864767,479555947,535870439,324964127,93857234,699776844,877086745,642988654,901591058,412690853,4016849,312797257,556808620,804635533,572467759,388629834,182375879,946286683,445234670,79206191,602483018,114170466,134084540,60512861,660698410,378196515,344604287,229186154,333514303,709149537,900493439,510253153,41697119,320604531,693025086,213796286,696232428,235262964,220208411,55090363,800596863,24931813,789831587,952456683,178613560,252971255,330469562,563181734,88397059,173455298,152663144,16123814,61627819,485448465,17291296,443794865,674778668,775234828,235410832,135808733,647723151,134904600,855135072,568273508,762926453,709695281,585287750,484390411,323261426,822870619,182892591,897287353,504661456,444530447,924016961,728081437,243664984,924572486,251025638,338724191,686212498,877215406,111185204,826421747,641039418,74624956,576053786,558520109,732727343,179533292,284458619,257867879,308118898,320969317,914787604,802078583,538662584,680261530,233964208,206444647,581670513,570088082,210478276,62324988,639060238,273029911,775335885,272463913,417524545,786242319,710805201,833965016,72351902,108426601,892239017,905517815,344827966,296253042,620177899,23355657,459263251,606255083,146112029,787966483,783653345,160214216,159348261,968087548,983867297,233784630,184477489,323759084,393730436,151426679,305904842,717855455,211870954,389512887,939967340,827464686,292841171,711858746,823849237,280035419,733310668,173480353,780896755,50072720,301099132,422404581,112283209,573892974,626579788,269545204,765693483,24323349,420955892,65021042,495388143,574461368,271208700,394805507,662498604,221243389,540635752,11552555,437757035,468935726,796395116,487656707,676163936,957464568,36341008,600765927,22269158,457774320,288374091,684238912,849092960,920036957,819668243,800336675,499168444,198746084,817569420,928329969,970952489,371589027,338448022,322666312,519717851,836959947,9907794,164097761,568042632,214802858,678004381,286430637,992570100,19181444,328729739,106912533,606890795,514694449,727331789,895839911,133310644,282861013,623071057,321350826,69212367,211333458,580717296,812997605,81749728,892522850,768767813,425503954,409886412,822138490,433746007,869070715,56420080,592697351,107561631,514005366,38650225,84139808,768754096,566777322,177010647,137383859,385913398,898303587,121173656,701421407,909058585,789727755,977834284,897310004,728118369,335470792,943511050,187218921,22237963,199497241,248501038,659575342,104235320,707879807,720256815,245061071,785113114,537970925,715267859,379679188,685593418,327450899,392708680,920630492,733288766,300327675,476548537,998639217,923660646,436439263,324205976,363175755,403534005,306883173,824310396,869879941,667146023,280031840,796016291,635041725,658742833,491657165,355680472,951726916,989540942,836326717,939833070,776847186,193289702,294461967,82619850,60860300,928043127,477977493,165710566,914365462,995980341,343136032,90233426,13611272,689526356,35978899,463981796,140801006,248003145,835321405,185337412,108398161,548024918,989149461,645307252,5380836,807797564,579106795,568569866,380465425,459356618,73767856,677892960,80498669,195360366,426103484,175682630,437987181,935069036,538799809,633909954,572302817,915471643,388207255,521275395,337693106,457889018,563778715,652140907,179411958,698562073,240774992,248786612,127023438,545360499,746832250,18170699,884502093,37303660,908883082,571785310,411771820,872055033,844081775,704275894,824096395,219399712,378445714,251395519,477617293,671973887,241518783,131090990,840446445,301177165,156210240,333022958,3192731,774861298,155986388,453267852,711617,585630619,92659602,864316340,848628522,666863156,830574466,618944857,425474008,505299663,815220718,740041383,816214145,316019340,804849617,420827506,519546947,876049795,654902817,876630641,700978326,61530120,330465435,333651301,566284668,592549604,959626515,583213159,66395963,568617965,686315155,453132358,857906068,687295088,294060863,799289154,162757154,790002739,454480043,12666978,679801166,599229628,468751706,762738123,283672244,977248598,356951064,571646189,264068791,821903212,410640238,256179732,63594737,600067230,207051349,182029658,607358483,177033201,997899168,500069399,168505395,629110123,420424144,949551131,824165771,962777584,373208997,104090816,478923170,221077798,128570961,145912960,981899230,60583643,613766096,1704574,604542383,337869993,174111551,410613409,155887035,686942662,419154768,737721345,44890188,916593602,880865502,799817608,558378465,588022829,569707550,272090928,175588406,299456067,180850149,736410209,671269631,242134254,906977065,841192968,199781523,967150392,865105712,131942856,666160659,537660061,701040502,858137778,88251599,59142484,497908243,420562638,249311640,332130815,807185532,863987388,947179332,127268110,518677718,161060094,359466166,718661099,727113483,511171308,903610218,462561052,600765720,635185715,276648126,590569311,681268148,438630396,350231744,445486599,443257589,788480222,762991224,810693551,896158308,855827168,525317748,392913018,882761310,374639594,232477023,715726557,436772744,358878379,17279390,718235166,551026601,16838031,683542014,67677216,456065639,59106736,66888627,643899384,388907818,965992430,26921542,666826256,105915905,888572779,840736794,863811043,832441302,720893853,79070635,342743427,94954376,642699742,554968969,205747997,871813874,810011651,506289750,83954973,580467563,920314194,527676354,731374748,844149064,276493967,834314076,153922382,807715001,863117700,765815888,961303326,43293397,497534953,693587206,576753720,827608656,167038898,983166250,940898066,580051199,295106261,936367460,983087843,390323296,774586152,959280941,50388562,17108282,218667944,37119529,860389534,504823166,334476837,581242659,918610637,915545032,576129172,800041069,888808157,506169091,514238320,192770097,742851950,653218561,862601942,937673048,673646485,528496788,276167648,318434198,404859828,347834846,841740970,261598341,709685785,158665761,210610216,974277618,879362040,223843324,257566788,536845835,889246647,871100347,946409423,538941836,726499714,660724271,541179202,555749001,328444583,718498314,297905562,841721146,514883199,654448574,448772690,463082476,707397089,437957552,582806768,424830342,56561623,915601750,845299336,768261243,635349170,531202771,842805375,912631756,729413261,566015887,203395006,152084576,90083875,374147403,720187669,688348814,916734377,629750449,95008013,605543380,120281466,494826355,466611294,49826449,747315403,327553847,305504744,139454721,888716440,43628456,185168169,836217622,934062024,31766705,798153732,101884301,348885886,514183471,455548953,107462261,808531539,280852421,628700475,84435132,611261531,989400793,884409089,692742388,204609641,882063510,881441942,753210155,940651702,24763471,195303566,576116323,93592586,832954372,339386750,237905318,117990678,934190248,166452142,818701956,119401173,232848221,920740642,857001042,34081986,524146605,857196076,827946374,906377721,698001261,552206023,97130879,462926775,264444091,546330635,800180925,198396135,918926477,701060133,752320110,734785984,411488958,971484854,383551877,752918602,941569865,883207445,548485186,449031696,462537437,333062187,954513523,483093646,374966365,480652023,225744180,374507797,202142202,448806093,907710935,334208402,919195597,968577397,544733620,56788784,816525405,931349200,659904337,629075944,425844170,806175794,788368617,235999955,309925724,740664421,201650903,495807744,501844093,628316455,989669215,175739953,31203847,719606206,455665501,428689109,851849941,852443290,873361332,181885293,955514550,988539784,655876606,852593033,293481642,847715147,276057490,608727799,460475235,313040815,705197766,210492388,750709646,759695660,430703017,989648185,868221080,808064785,899239079,704999950,660618662,761253510,509031607,847917617,70558722,335503018,477792329,866245981,401683292,212256839,844122200,714694192,345986851,96248716,127350197,144603685,79181316,858694947,753769716,26220105,204871252,672392670,82522465,164520551,957209211,553679097,580854539,277878716,547693500,514218627,818265363,600319116,747760708,472725428,391037914,412128248,593680918,891532586,294329528,427822056,501022770,295664308,943725404,755817620,535354008,11017185,336883678,280146552,54079751,588111275,15992588,213874832,808488789,406348796,97034570,108947817,378397859,690286005,954829816,99157173,166689078,854331783,838084576,435662454,612085307,673654662,75147846,161548628,326791458,477813933,647331091,577296391,295952584,66197318,393128935,696336717,399292929,763429637,310052515,215206090,625221014,684133843,331354319,603623268,994760022,62016666,458400282,219704557,369903352,800805722,233454352,175605277,711727316,179686051,761614073,479787393,261380186,960837742,816343412,634394062,157288630,352983269,349275055,26795648,954228347,629550368,598617059,181374741,230060676,424802287,268551523,807032535,379967023,590771285,935025334,993285194,882732089,861216268,304980336,986459522,365875090,86237315,770330515,522400230,113213622,533150057,290428017,779254994,749132961,203101591,699463446,639376477,369639288,201884237,976639004,256689264,851438110,174283323,759321804,308508794,2641050,356309950,62656215,591763680,463510183,980362619,799784418,597425837,37984058,313691434,32715280,741132545,260536552,17692658,893581230,911043662,471682327,150964071,707296484,98052501,741516705,823661758,298305573,123465009,136833896,954182432,874997070,899589771,993801240,57841530,774123521,844648525,745311138,596437631,375887082,351162903,398863250,429145734,171314145,206421469,553903650,64749430,642456760,929592674,690225230,912568402,677796653,473081415,712345919,539176745,877420683,753714876,155390656,634734065,841966671,663571948,259134339,656289662,959329587,444615906,803538188,376463781,973787486,168961667,129840203,195854600,550443823,255236370,869376438,258788427,624853363,939937060,362521401,153930121,990859704,791213959,747086955,252210545,157643522,449629804,248982371,787803669,847305837,460872674,314998004,233270851,69826095,647597278,862799271,679105054,614067195,591477176,917113307,904348797,139575754,750499393,371469229,66394491,370339657,538376813,327033342,285305454,674643841,593921326,978741197,948105338,229476931,278774346,250151123,910213313,53520620,665378284,63779821,214883571,906262472,356464534,673925836,196690955,687592524,863874764,652928405,398135640,834915701,625643045,652912977,814090269,766564535,224234676,971335307,123171080,307217403,557644892,53264559,971389133,876581401,934745648,555155525,963435006,195775102,682907985,981717791,94216379,310740026,404780160,160283648,95444782,169591799,281603326,275953513,921296683,970219128,553537263,298820940,457694561,951979696,541214003,510519365,413700148,931129961,243335180,736328971,233261882,439446039,882547797,540764542,514526339,134850776,200391646,651868592,382279479,935875724,877617759,572595896,995052720,973295517,964110182,913612007,102135949,656121827,422993932,835829017,166092249,288776127,276690713,110058051,603842075,113472297,68366535,938477478,829350257,290639243,619537103,558708497,768801187,283772683,987982459,408636947,745899067,101782812,431655731,437527820,589871400,214773545,460094607,171243912,980061389,803633262,237370246,483819720,196500613,521653090,724829968,205342455,656874369,354589005,277684221,928931955,465169941,910125235,701348885,110193431,672533254,334598773,877982886,577317872,791911850,864131569,710977516,581038246,99642295,53434854,368818996,919064064,999272409,539745108,919349483,774944560,394732037,588775784,619090295,148962539,284064762,75930070,189345958,453694351,338475981,794522173,30917910,409265335,36401356,375160600,112189260,837124875,619673644,543635791,128664481,616156163,780678526,345225407,734551172,642137234,960791972,507574085,906359548,703741823,251593303,791465404,682577470,116071495,193186232,144100028,387970188,637741797,391194007,264099691,763042454,885469609,138966615,47472170,205178599,934606528,436997396,408573265,234388636,388670164,886064864,444064101,593700672,155433530,860604663,697938220,361408630,421064305,460528208,847190525,465306373,289005051,553608264,508705405,349737155,286720847,955998673,512047225,117862021,695433571,394540682,594578731,547698104,78411406,11493245,665670925,608491756,714312296,845651833,555416905,640037140,821199064,807146291,864420857,831675931,18975897,460196759,729804047,503233402,136500313,365918038,178142829,731644862,143216052,256243121,424978755,620407129,348125360,755308440,994655435,122086927,732262735,160658739,307139475,215712208,387534532,973153455,218662538,477037678,448459119,240755316,141469232,817266399,88893301,827487831,203218335,524202113,147686094,279580288,450705682,999701291,252787032,359752382,551463117,348869899,536654088,762021601,682483285,531960615,325348244,698974225,707341267,780686446,378759295,892857197,499865853,74128423,650841757,11907721,929160190,680647513,792946797,500886976,373001739,616475234,430181532,674267633,256704073,795616101,980153184,28357814,385254319,38800672,333785017,315744598,191529905,86877308,419636228,390248046,936795001,825720352,423938340,819543810,279253135,469582583,38516615,197309555,381697150,488987534,393770102,233908674,778804400,103432168,403538429,121930884,847646392,774249070,980666671,922083956,892228514,102457242,300730026,266614747,682893084,691866236,580610436,814269609,512681673,677014933,550276223,637680963,684434163,619834096,245857594,714265123,856733739,246256222,248592283,979515763,303611908,988574077,887467141,19373924,977772746,678706289,66846674,534594219,743737393,717946681,380924214,681173479,713076473,438389436,421190702,818266030,667186569,511428236,637970608,499092406,882281418,767926321,988423697,694833045,197643368,202505976,61947449,336469873,785431239,390533053,423575093,830222155,883806455,590968376,256537761,655003821,486095004,575759617,760315056,960952087,923708018,452704159,825949596,359810359,49493162,420856954,266520268,740202125,559410631,650852982,24726626,316216951,24244661,240596452,378454289,881536202,567873759,734940375,934396077,605892189,613151050,568926924,105894907,263593499,231652026,251039401,671649415,125004997,95815095,996413544,687288362,2399173,823134991,513047985,379720803,410861277,802922596,106074314,174011761,930638222,677301431,405367220,115095629,423101505,376896422,617607859,69144422,702808142,776313913,153175789,654898839,655286068,733291151,36206238,737928218,159276284,690424534,893896569,613207822,878724738,484139067,221190027,288314688,416084474,606936568,526090221,303598561,767242888,743342646,724223412,871641745,1359147,144477282,941808716,537031096,27317344,720412871,349578755,637987232,27701068,184347079,4786174,846021676,630418072,80726181,773739771,276705764,363519261,11512557,820838869,547395246,13444223,144909261,637822178,639890846,281278494,584124689,410382350,469194336,995146579,281539541,86175915,39161265,369630055,200525863,893767504,556201119,445225443,311572532,973592667,324496299,744744951,660424814,876678148,431769353,909736814,493832122,387633548,58660654,788948124,82107135,328907354,79146663,835693550,720261614,142307710,944140810,913452187,884212592,929337701,894418998,757154956,131082993,688083262,687376628,790080686,494345503,897813780,797428220,924602452,47814769,948076101,485364400,619155838,294327034,338201043,291419511,368283810,70206647,637553876,35365943,526242086,981154520,713814138,594943956,27327393,487465426,892648942,376915531,157583370,639277155,619652717,216921520,811392725,47111942,583162248,602902227,409084591,86603101,794997606,169388884,861716407,979949901,778877503,956745577,573844662,330943889,126631974,616273247,196812767,856687346,732757928,519791431,164296175,770960496,192578975,144300610,885950222,739681293,167644227,184526169,159088228,653750573,572134596,698276287,127457217,559150521,741590131,33941000,273629097,228065917,878810163,520024570,587907099,846466038,485151134,947548574,648666688,886042641,203128122,699181585,898831122,385185567,388284692,562487968,186433825,51217373,722018921,50310262,73762295,37942011,297786429,196729063,886638967,238658656,181219359,371951954,466281427,684360955,476516807,267869140,43592724,318663536,447577144,940021573,426513430,627014655,801248963,976887832,859104733,715180943,672502860,145372525,7587744,808082184,878689134,486669326,346028367,83158926,261715493,642791974,666754414,712889664,582420031,862331931,255664453,734193000,812613141,93631877,951058179,395614599,631192176,820988680,760497259,407274243,740216507,691389562,407577658,304974010,699405243,14979927,974503185,923084548,815387539,920182721,65929804,202016378,585405688,899511295,277254326,758456488,356541325,661452959,729807051,540698731,301357818,808206170,787714140,823222657,758326,489501282,992665762,548692956,313877546,453418512,838587084,530027872,269832277,654506177,114283323,265286235,377194629,562367442,918629767,845974478,126932906,751041799,662812209,886987394,70915417,426904323,40182667,76393896,315507838,626794494,867229843,697541710,212781647,494560644,586082943,869444833,64529997,903233421,265272640,50641756,98144061,516309639,561354276,1241060,815840353,285669350,222757985,737037860,690493989,678305246,189567894,523068873,555585169,276541045,403824355,329346905,265401828,993860252,31730864,530914274,999463212,929372114,336226354,547197870,976121914,377710750,676899270,456367935,965748398,565689751,246932079,213280792,778280483,466551591,687657822,866343691,758805867,700999127,949583872,810656148,909103020,493586026,124518593,652633017,571090595,488751804,259726970,44334406,445736121,964206945,357597806,55348884,889926562,513527036,529719084,113590076,550093319,651523523,551968830,215140960,61621264,484701539,263782843,141735988,836449807,586756709,481318146,415294332,655546062,429270980,563960029,544430013,474670294,775805750,712207997,854762086,241102115,280159460,119563747,633998234,310632073,409370322,670403338,996972397,578190057,905592068,627600500,682666375,756095951,899016185,161607268,570512200,442615821,337613038,799628100,532445407,256432506,353305096,287124812,746365215,814014246,245247540,543071564,207049014,798409292,489597702,648298216,54320822,426258908,837313228,135091074,723387175,143528304,321308667,702518826,336658910,234579543,582784995,846504844,824014809,999321984,756845481,842017001,548883982,171782161,531679989,379890992,600141213,977138498,581120468,402231604,833787406,434343310,491502611,93770247,37631531,43263409,281776637,935502493,198269401,702353909,673771829,413687828,658862922,533222996,210185529,50632319,991493715,7004163,829949828,934300249,230711221,200794950,835193552,568835271,636927687,859713539,719663912,122565904,561737258,979270477,504060841,435651578,795750278,365286032,404861357,29374393,375782098,154680545,699710683,944541068,349368795,555927942,145463214,371532782,131871177,242958410,198517255,485133651,527707346,41042364,730569357,349388230,843206665,367635941,746358043,139788526,223772271,123877330,294425124,854254920,523848778,360481945,211217421,549351937,802355802,242469909,711416224,825197371,905371525,591566851,759871153,857783078,735303743,269562034,228372153,18364031,375681226,562280279,124985374,961273928,106751295,34710970,487938415,802949307,826592008,657032380,425482637,243985626,953205725,523006441,464963779,775542741,658529683,777323353,434972761,560217221,71832268,691211741,558005844,282638332,844142504,652415037,717303812,217240466,288818332,846088553,57580257,765574394,53885671,599604101,420474104,524659312,30553438,884351708,109328534,910647625,358185870,73987102,229496598,534177476,757888590,731649855,429648858,787601976,719435874,526184065,511776042,259622198,748465473,811524339,783158461,628188955,211249512,460759309,314649882,394187580,357163156,111020311,301203040,551455298,358476241,136398143,159077166,209772568,734266334,933910745,134348501,267015447,191834955,302160647,877641974,457885199,315488877,784373067,457952867,953928713,14227146,672402766,822389883,906764259,705414997,27013677,792408410,979764593,190214166,684633560,684601098,697069139,422981239,476775166,993910660,543528162,386953677,267846200,108898458,123580342,820218190,147768419,91801463,708357973,482817139,736551990,289925336,116971302,182927790,63407470,209471088,669049020,941128386,30735245,408490791,3907014,150406015,719620746,31831897,186415387,15010954,851726842,545401636,1061595,260266439,226863414,748056551,368062603,545826171,830410778,783681331,340584944,835329710,941446401,283184656,241722169,308833460,960005550,272646794,374612865,148167146,312454619,487784796,891176216,106505593,315427404,731972321,243778675,985640602,90309819,433529001,582098231,949727249,356783478,719452198,665264143,244422805,149246914,996666078,95224846,809873695,254255447,843504264,121878560,526104920,670705096,190589707,648386439,125353749,63236637,867200670,241432791,252974335,583940404,524607408,762382843,203959361,507650136,191215246,395532935,661318259,310271342,997187035,184757833,817785248,680017810,788476255,132230152,327865162,396471444,260061700,591118063,324818262,130051462,598576959,888312510,919013911,498673820,171388611,729397402,500823731,317594831,905056636,762233536,270193105,718828879,735623051,253345552,502411444,83972171,269752228,68994413,966763679,692149605,137492797,244069944,961435949,446558148,617574735,245262491,526298357,98802338,360104749,683632015,246158883,758500140,112307794,893531231,400226798,525487316,765188822,803969167,978987436,234338605,477255301,780499236,748416215,549887236,426344070,250649381,491602365,645959900,522507577,107317277,946273306,272095517,521975296,308446610,692043909,23748453,312184959,310148759,776413426,768560778,532265386,482244843,291029624,779855267,268736036,146393241,181997807,912570425,752656334,867357611,825091054,740835837,125985114,244449188,721722408,871975219,298634433,177580640,32925673,687462229,684060438,475402774,303047455,521132371,765511786,196370431,382269368,152708521,611058046,572527464,829689370,441033762,379227731,946707049,222291890,682016904,935416592,25671644,528056136,73368238,995687522,533759792,539434133,428585946,783533652,444814075,831217225,287898744,99431486,262912120,198849987,869884693,563445718,737420484,818140263,989100375,710973559,9252216,5130747,398282759,366063040,332291531,45768850,959943933,31335120,598701297,389189947,385757933,187387056,332310,160748489,959682373,338386105,137287338,883389119,689876352,314729437,657021334,979261960,107449043,930904206,807590296,922453176,734153532,971276235,765817794,797090236,340405868,530972905,183253970,114585716,222115108,431012093,647369474,669344679,569085196,375567660,775970510,721916531,729344373,906072491,88603136,491297163,682371120,214612920,123673103,825541371,842079180,107784489,246027068,469416843,192399675,241544226,580744227,27177043,496959334,490487155,945831092,138071151,102960491,699087652,286314031,103417266,410087329,417201823,182316670,670290103,622755892,525694442,486026872,556383025,322312625,34743112,14320643,157587079,686078404,486821809,297519644,237913609,758638609,803381736,6080624,560993758,989518697,120793681,289992266,171079899,475755469,390112420,949771270,125859907,845514253,48484200,145488666,368398426,307209228,92885278,542449224,436064108,485594860,284240332,33699602,75246796,231958211,356672655,455582018,374034293,200461198,340624063,997155511,648087626,666858793,450077716,40746079,63796507,143921665,182438762,733218927,583514074,838299714,39166921,323719461,942450321,91070488,284196760,865172073,432852250,279993823,791538985,532034256,700415783,287994390,73492940,348717436,529017756,870896681,917214773,413916241,41856566,646143104,62299416,451718045,185485503,953447917,708741762,369761225,341417818,430621847,154774977,896609762,822205581,545675251,796514621,665819708,889677251,708851578,80147835,588546166,415870577,893155126,879011177,386757210,848874017,934123973,147197377,424273533,589499875,578440681,6964109,793625609,337967185,809814615,188726984,558071747,639178521,561972153,726730842,983135540,2081235,879284471,655033708,767757225,249231267,79265248,749978881,259533640,179433036,140538681,515794177,200457670,680764716,143609110,641866525,476932301,236755911,539515176,116264418,634053582,57144860,997881970,437243723,12714765,791692154,688127069,535806545,107638375,935151876,732803384,907840686,393087822,847402969,346267216,254734569,876849878,841113036,608367597,345094706,781897674,956234853,887605863,250009302,400585554,85949680,579245272,622863366,112067211,62209796,30014330,348441414,899454508,786308330,256787752,549606925,526350735,796728684,523894677,592034884,35143740,561224653,395765641,23966086,821570352,944838230,150944462,690227106,170911052,690070288,753374713,338005657,861597927,595595196,488362955,43976271,89517478,601893084,144622608,94229513,689266509,691666613,794870550,722878901,744170154,500608235,874269136,189032448,388230176,670274735,960101893,653734062,436269266,320534201,175400475,503643675,214029342,155717636,910080848,565475509,77912777,68135389,254624705,326451334,741136630,263110111,806045676,494212789,227212256,587000885,880924939,328699997,48505712,73942177,894452173,932775493,689822875,29714712,619289015,74799073,709419045,837376264,151113971,450229339,417470505,680272047,295353685,164843334,799340863,715779216,479778783,19904260,437709233,531419012,638266498,234817123,387528303,874016316,624452229,336784171,207090673,461678711,540897196,352168086,99904403,450815152,234159037,775482149,589577422,974673284,917538713,533343512,633369107,404138498,879132426,862242479,897989840,154760470,103299465,332371258,99732054,18281397,160300561,838747316,194107377,427177743,126615857,700019034,993276356,972115407,838484213,956018065,55476684,347330609,503111515,986984970,138162465,926072760,505061305,52666810,979756838,925326109,214731139,842694911,338155808,837670785,474724318,835846570,547003355,647322791,831906599,201659348,174527889,846962649,852282039,18974496,395477248,601682022,671303428,626467046,310084851,784616394,212654772,384217618,14361168,109264045,570916841,412275987,688475336,360353914,87488137,118016963,878957106,812465175,599600261,415174659,531428694,154790002,286614759,28608188,214529482,936390648,165554782,339484286,773334527,557239519,739255933,234856274,675835949,768575760,939726303,369730888,413386830,6981849,944504715,296302349,357976490,570588673,280872680,406421258,964055629,103211165,957763774,554260424,471451211,511550985,657495785,21239963,737955568,125350060,536128852,684890347,832296231,534235617,73336188,144466064,976738662,361311321,53261981,203912186,59993215,37822164,598695243,447458634,75822046,696465340,151167326,484837784,700700248,635715082,937199336,116093508,408718130,141865086,30242427,882343778,107509795,549084528,113031379,827957260,207447611,79160556,157206423,325604057,431118524,332570024,132828109,194153390,16285683,597337757,141537578,597164954,644819414,548487574,676439973,887155066,408766075,374064251,627280172,881583908,686476007,260488690,459543401,234501636,767151121,767286150,304516992,899451753,413666127,81381068,760811276,11682851,229369427,443928257,348920485,114412414,824639638,320417292,719604033,208099192,661792873,355604755,489208379,720177760,767727266,801967834,697934799,373979260,625449082,900819067,524569770,968677400,959519638,568653859,889318694,392277899,572394329,563721391,78280642,277687371,634812929,383653244,1616646,341182599,767499673,977704935,455950979,797182583,692821049,903203194,740271495,894536712,85290179,42844791,644749591,757718515,612949254,458091034,831395515,944748208,536173620,812307699,869672483,715601222,22982600,957516465,130948594,608865699,431473383,633367288,151337003,715567693,831616464,250093093,343893741,147873990,367153030,315137205,851098290,443492342,41075170,721717104,461908009,987971305,968100371,71306484,658917665,447461343,198329190,742103031,403801750,547559475,270692480,244243852,958002533,605012317,249605865,627489474,558646379,436918545,758600232,863514135,680991348,102358884,100736632,944869588,864842023,239080140,88617790,580786333,398371367,919695901,569156348,125404541,60334877,512654382,361118584,332195569,899827025,315075125,32303356,159523070,447797144,412457883,59537268,468789987,400367419,382445870,847229782,219896709,35280270,519209758,524822066,3233310,547716377,953918557,620592083,744937048,666580151,884822616,847930429,633681921,358278295,315886561,952205226,19912593,415016144,980881829,189853511,917642325,631479521,576068353,844964085,675816850,435696466,663350028,121972998,346292047,482300635,89532418,406226974,186090623,462572278,669375369,5408488,752244415,850143099,592811818,877360436,816585041,267807363,928359340,490279915,879454965,140047357,162866020,521186048,686310037,896098661,145718718,910491459,239452718,864690449,283246290,256832224,712164024,292750308,33461981,936339733,443340585,621803616,215827426,404292443,578464817,864099455,673847716,698485360,120501175,254883510,23893532,972265483,166773984,688026346,903074196,139340168,903871254,915962556,376194413,239215062,747637726,691450567,614536958,632279476,313162116,946973310,914098190,354101917,333146126,894716540,499692257,695303328,671758223,269663143,553832402,109829107,547498364,959396616,936494093,267398087,803502298,444148085,186432654,568443478,128036394,869405998,676956845,323497183,368841210,331874643,468833548,238938311,727440452,352338021,196183083,923794085,647620836,423128551,566274816,942898140,595533634,373591247,503450648,301916466,8708120,642390020,960366268,417079708,19505217,718437283,994272337,576266953,267978380,620876115,560503150,104881744,588577337,853021532,92773150,331318249,40110799,537465878,99091266,715165496,143295717,559433274,232148910,646022496,753034835,511186097,666038148,21304319,640529253,189355797,348960957,861505285,772465162,106856831,276835068,553306661,594996372,301654227,572507808,78309419,924568234,98232032,793021913,711613980,178313275,248950636,175842426,635103927,648551638,149175721,106929333,681295125,195268085,777020239,545394095,952433086,431032492,33199450,639097493,674713037,373250856,965884177,808755756,799244766,874813906,288041242,972752016,56146326,570362108,935808679,262328559,215709345,919935644,833924640,221800020,449290613,324667430,878602819,535946140,808444930,230631535,674122035,266791111,60396163,921155403,821742062,476924890,361644767,72403480,49853218,747630009,328061877,417439488,441033656,632159512,507820721,522538070,402865791,855645408,573952911,283054350,765745744,537792458,839929118,554073294,59924421,136721373,808381582,364457444,453435390,402637446,753919866,960999911,119331766,251289717,436669280,182959411,756668304,200061312,639127990,595742744,442025654,763865471,45364622,984634075,24386047,285076211,553281647,36658000,403978309,146293223,293518758,39242324,602427218,955698155,291735536,425142178,75573636,460266447,659879658,544628691,943659730,491755148,584904449,414747421,65881365,976418335,361809044,328089179,964390969,950865970,17441554,991030273,339159023,590015895,277362288,697562806,106295843,390948291,632721428,185630689,897951902,142045815,558379476,444337643,44745411,161987194,226963391,911420654,976080276,893233652,868123763,333580982,456166449,553226012,429155676,92484550,307074065,410004017,889360299,565314544,241794172,436631745,174423984,852262193,710263851,260431951,546490030,785215293,503322380,109051541,311081459,531805277,831672011,457192453,741254711,618690461,58033924,458754281,361402738,428617505,171527688,86775423,517784449,258114637,258639601,747565466,130007837,3824845,93132914,233111935,259801548,149413240,983993691,797668615,918119212,64008440,727563489,312748211,806530225,866354155,445614416,903652120,203652303,886830107,140246481,263444821,487926631,642834126,430543872,797090506,318096696,507881666,913908099,11604038,127172645,357073165,927274288,707900290,399462925,207720041,369532459,713115912,435903218,890799763,359602672,936757949,53399469,863989773,753734723,212994396,614085,891786927,370823381,566691107,718646251,442898749,452139134,320961586,354088058,468086759,706349926,53032139,599933231,446990631,444222755,372571834,698225119,695399666,773574399,357184755,776504072,732137473,709119495,636698340,844173280,82185779,539007567,9446286,83539706,442043065,112979215,770200179,968899491,858582385,360788009,591691548,389559186,336045146,534624429,59063331,715080752,113577201,987124861,641187180,724691310,213828395,360706711,719910163,856165805,996203522,952128882,703174068,232818133,634861302,251314743,576130620,891228599,486125878,347373354,52345979,128590367,623188252,624162653,962840768,191294364,913331870,154984041,100738988,965337639,66372124,819650510,474557643,236107285,789901808,228091145,557034352,973535882,299116824,586760351,919651985,961388014,543399430,766958569,894780133,82087971,590419346,925531041,579062029,720235956,296886807,807992629,614995145,598264088,243167457,397911710,61253677,91652372,379127543,273371304,873818489,180069344,582614778,450787111,439930485,301994391,172207571,268398348,890519151,324178453,49325071,167737300,469953303,494682128,863564786,379510961,689764652,920206372,84701663,536313610,238050325,839640831,596351160,167564077,982270299,970680906,516740209,680315547,485981814,345284543,46138708,260154757,951418001,87190965,684993063,407087809,182928954,86958420,785384537,598499837,497547438,733147693,996554609,483929121,298046403,280071453,182201137,258234946,519357495,775316726,481500777,378576679,213015413,925743368,27325096,807576244,479734205,258359972,967227,911207975,265318437,476009591,667104769,186032845,659780186,875108674,354291436,126810023,820601994,295726725,724979290,567579013,122925213,332448980,890660336,194800023,796117546,305476044,132448718,297922480,982015526,926552629,329339295,880758407,955707493,404114257,479776440,416277834,665259754,967297698,895668877,765533058,644604533,19766440,937495159,374871503,759097578,898219041,453288928,940326167,596071104,213452496,251154939,120981557,143450911,729162194,916388434,915918014,636253694,673753950,737828766,253480748,611332843,473403153,83130062,186440894,862301875,709879494,155794511,309553452,583303847,373194393,997182042,534294410,598556869,663967431,53656262,780834477,953191418,713183738,35773636,206857349,960533711,530527494,737030882,697351356,40991260,489215176,792718472,606782076,542403926,724173148,238621950,435022195,488311403,436226960,314979943,193558304,374905406,870519144,981998494,693000922,988395328,797987201,564663247,883618478,122371689,275580554,796079454,598785764,434225902,795750553,393578899,750770899,686313468,822126843,782545868,832183920,671106083,144341797,700451317,682448248,286482938,857962572,580347433,654803229,20331307,192428094,241231025,666908657,640002483,488858255,307392177,36891839,759451533,278546701,413682854,538439375,791577454,659576628,468769084,24871781,42851931,277370287,942962095,940436075,674662222,223154700,389087925,288949462,956671979,784701640,605593367,992701530,486496081,305008458,758641137,465275842,956463323,939876469,610897834,599358067,415940385,504626416,328576710,17217047,419754822,671319092,932054257,984890464,806855482,417809640,177148459,440058847,539278363,653060463,955068168,593253126,887756207,787136554,361893918,354498579,150772784,31699000,84003374,169566356,429598682,87540963,71516326,447912785,792729602,848795911,944124125,251091054,590379615,237696705,287462036,417933260,848542971,487557133,74428201,485713542,513593751,336148722,448567158,290922947,939599864,299746508,76523942,75042446,736253934,994781062,171272606,699574402,435585880,851279441,652000345,474764919,397625217,163742404,693953240,861222428,88102557,986263237,508710000,991568119,578697098,193714424,387517530,992330945,63610347,912565908,990635183,290701184,454301595,403512639,70307908,857107123,762394623,841902486,666159582,366230066,221898371,542082790,854669158,965136461,202492638,793340909,690142410,231776610,926449425,910977129,230300040,750549056,419675764,110247652,945269000,970911039,63396117,424771911,741862566,231717581,266119486,326694898,745798081,810752844,230616021,254245882,186054504,807808752,453254538,328163355,713796846,711538019,551722277,923601592,396731197,197256270,231184816,915983645,484609966,276340230,664565909,555698194,741410215,94295545,245588591,933569526,108396010,72166270,957300702,673149963,688732366,601669809,495959351,701770904,263323826,275253286,124367722,2734600,420488510,80913777,326269489,106918400,613319399,934400777,439737807,680376019,799638715,707167213,955356673,157012925,551588408,419059661,873550859,491599467,941527032,727612131,139892498,949157918,757483275,624436025,529363734,143406928,909198936,748072490,634327877,18104425,379430137,118084030,827048088,710799903,623524562,991691175,358492755,67591133,241090140,503549537,457175122,350921434,750497064,64988700,859336356,237058357,137144775,343793704,326505408,497189043,892983307,237131281,935311269,359309429,80239012,24801479,501307990,624878903,265940849,306422625,52500088,482848509,132717108,921646677,513754830,439585270,529799753,245920117,657433183,387778822,935556434,377164569,773224679,391455270,917325682,805970655,22766151,531614558,325602180,428727683,343339065,326973139,75700361,914606244,952587246,515312109,145961359,997273968,144564614,908274600,726530551,655006923,788305502,473829797,678169028,813486710,742409090,248239602,239286729,343829113,73181693,596205035,399138277,449901593,653701684,851323690,812905215,536834390,251498622,191559987,429210439,333664263,272405973,243333569,816625282,394969278,526271870,157390056,823739262,174032266,53097163,546286788,934054524,606528329,604306554,123031184,66519386,935274240,322720622,461829036,971124327,283023026,313003892,600600973,619035885,973374058,39825,200206299,42347269,73732344,273228295,532791109,847358537,361338355,371344527,376952847,306044107,857936433,257853609,4139262,880192936,946227645,277191246,984270515,384483395,554834928,579025521,279133744,44418629,177523319,933508740,239194651,224648962,956979983,555467453,221553626,332609125,914506387,115189144,119353705,301683539,925350999,985227683,828707860,293511065,721566560,841822295,889991993,404259123,787204592,512681495,459844120,114282188,254653429,211636413,555080057,469882947,87028688,221499898,17167209,516576539,547609455,581198527,857996296,653031600,679175475,747692458,755721184,725398568,747772763,345131604,617778793,984802228,658791631,533883228,989469540,362321013,612477206,563470021,417577705,936512024,246856648,167541860,186272290,734169420,941479057,523255211,862427987,489019477,549742769,629794235,1145583,564674985,459175465,341343488,748692303,391698902,759073987,214827023,225939692,672683471,260578935,602733683,946632319,3911113,534103402,449077264,132129961,389758864,671513637,439904258,190170600,685417699,139894268,258040904,200334579,693054931,895493180,114454729,8972787,341758372,26343267,555367778,690765421,580958384,337409685,149366458,276875064,695048460,36518971,734884482,831110138,764364067,86060433,299543698,636158625,720725846,160792987,88725375,923786212,657934936,338469792,834367976,156012032,388862765,493568946,373442644,748626922,992931962,79694534,132985725,431510537,60233134,948127898,457540049,345597233,985695178,780191773,605334852,632780312,48939293,273148917,120368028,516598947,785875825,551225051,287247270,218549497,732195266,970082344,327083142,329278064,701551283,161785731,587128510,821944980,30556133,273212081,827874491,577829261,253863588,716825404,149417073,212947487,393458078,570170768,158868666,21531319,416836166,94155425,375415448,848378056,64156827,291416978,666546806,909675659,495715432,586548240,881674190,345839218,143007099,327952575,856311612,976111976,625108241,76989415,651451962,273090621,744577107,405200504,176434506,956103016,248645083,390437760,867778426,19834824,181686803,372485690,189284301,526122275,572375486,503178770,963761103,971635904,276050488,393037525,754309357,680312567,596724844,719467883,614914612,905901249,377493859,990639316,154190033,670432958,274367469,313081679,102418800,26694346,185660012,218877287,213852814,441499435,72566398,899972694,641963663,580545800,990874750,199883995,351599201,487131143,457229429,404670433,4933619,898026554,703484347,535581311,9286018,144353800,260261518,566325691,970513587,768310366,889023785,173601812,535956854,455093153,87811404,843076176,473985374,420067528,990636626,740993649,157246543,188195900,712200246,374142337,901937928,26928655,653291552,579185920,277247977,785834624,549113930,517204936,498616755,59710653,286059960,964334576,565856428,6669806,352360630,965718402,805245336,243698995,523587938,577110944,689588996,331265609,451742345,788536690,947479573,871534312,719926444,233402639,238195113,246449268,265230572,953230183,491446333,671197979,7047587,16671666,240888335,140062060,706895620,748977270,492530109,434987277,337162560,470316883,933383345,252244776,618959246,827493296,875942867,970282902,626057245,96970027,849099662,772759510,197098674,306681007,709803829,836488570,273442000,115598660,488702261,870194750,57652682,997416473,529183324,75867853,972531095,625177687,184421291,330967023,664200861,358399965,604445608,882599504,752623657,496937357,59750851,621788307,635789161,275679622,827635235,289610650,494972688,258562653,737295809,226287271,645231611,75192320,572911455,60717784,978696221,682879037,677786264,948675474,339238334,589041248,549125039,485298582,883874604,864965847,765296099,948768527,30104772,454492007,914855627,861330003,842381341,226726667,929845260,980551468,762214052,489320256,798487203,662900436,469331233,161680823,417168944,669871431,127392157,250111371,35246008,126868351,93711287,305079419,479688972,304702453,811415452,658185243,845080895,85843304,155536938,118173224,315968584,766146962,638927549,813042777,855183675,271804840,40717076,885105410,899857241,434664830,568735871,657738442,737943427,328894351,301572190,696956033,921457996,561507911,179689599,985087370,113010601,341805605,388225361,829519317,417724430,699915482,647193869,987594114,453600658,266979551,447159341,877716100,925427966,300958648,518439270,727859569,103708812,28678347,180676360,171236096,894703194,92730318,330297317,91761973,299039419,148694167,183039391,748013797,384273839,845895751,248195479,18678431,910423700,413743872,640810030,33029132,759135589,949820960,707188691,127782889,38798486,470943920,479633874,702175842,455659636,126615266,914983365,132614214,110470652,761578387,406060959,11665895,945773959,90172252,231781073,493975115,431388485,905854703,887223348,496936186,907649222,584330727,947129128,203553671,131425463,873114819,55013211,407245658,214762788,365795404,306691043,568516961,883138457,417862974,103583370,596659562,230376807,676145482,124273327,33394490,592164444,602580791,38801531,556212389,458194518,622410982,69369731,653380598,136528398,618185117,653364674,513255390,623933430,442731736,30561095,981128012,366784173,159083276,497651837,175107924,580012839,547417685,253066693,288801627,534234275,880706689,300143322,564726276,275553459,406040272,254495329,987048813,64676769,441978557,18678310,525394761,704736501,432613354,138851392,122731129,268766057,569006584,92775041,948529335,457619443,230544756,368515958,342035753,544229607,238065117,778089423,806268241,804874619,263830987,796610254,117971509,409630931,829234682,170183232,63611100,290135020,525840971,841288283,95450998,331723279,652540450,145016640,78754803,499886419,374588182,763217486,72985237,631031776,213628056,537188227,306985253,270297719,497551303,130823181,757229236,434626408,719231760,2107453,970337367,561391641,19862835,926180724,407224549,599014735,804131798,187969252,731515992,576234532,175091503,847989924,39441746,144149740,399059542,347267207,576982081,773749599,905394895,762226404,56316634,694295387,746469779,588676842,290428562,881086864,474519769,395301284,994260220,219811629,855669593,423365268,74956469,41087431,676564891,774949322,596125750,361071408,293807262,59431982,662741489,238317414,45635406,78701409,848233728,389037534,131990294,385753469,894296061,127964148,6961099,926257214,13606838,288864832,580484331,328777804,151793963,46476220,717619171,476688550,290763997,133169100,709318920,817205736,371308225,216511838,654058190,766273647,784750066,82277349,659157946,671372437,579478278,661691965,665452412,940904569,378404277,124143660,285540609,445198491,715025402,850832303,805372353,906635976,247592222,422041744,339962339,685210079,294849456,969554398,707248416,415851669,657166265,551379698,519306776,942357103,479494570,330541528,707175884,889531663,765718562,410643499,411120600,341595009,857973460,426088457,312090874,233046156,102203318,483072844,70452268,855440285,636070837,289213814,864401731,614773833,309532466,136241264,909955027,768283164,398899747,143498127,10298813,638856350,859305241,988444009,553679392,475625993,296683191,899546659,862473069,965182355,336080293,406807507,206989007,111164919,942654374,790947806,29288221,308781338,386575578,345191776,441499348,656157602,45399575,12743002,896705128,427461829,506017903,413800572,367078252,755163095,370222472,32861513,217123679,665714528,778019878,435751675,5396732,538597818,309296166,427362408,723109521,205558549,10610330,157850236,422076531,356313780,344014077,834857092,531728948,586868394,777699105,650567871,142441761,40357451,865195956,25812897,543373533,272215813,894545126,506504452,941189035,270508314,691194995,107465562,444367467,292883603,26355706,631607108,695896801,823593707,902125059,723540215,165724695,820874619,1119028,220427679,944854213,596428505,297812539,487328974,768779587,42776395,140933790,806931407,199274019,410057843,346808765,11902656,343786525,235822876,68536062,813750181,739344538,276362132,290445247,973832303,161741708,945622133,729389152,647446385,62055997,951971572,269529971,861423586,701857641,646959077,849836966,221631558,387410648,737522450,928832683,441161933,623747643,161135186,679325491,35263619,34331665,296900038,315174268,709532697,857444952,72512175,615048453,392760515,251000549,851653551,812811299,916002590,807064686,352749903,769492970,403130321,186472067,358201062,622150681,102217839,634077878,112464426,678527775,424136870,612871883,624841866,176953403,32662543,242967993,413587288,407687239,701741126,170231212,90688079,787374492,170743596,99814796,522138546,197913327,634617715,409077045,23232132,710881604,979691352,335427626,130980036,376549076,363894247,863224224,39887408,947612893,591537483,579071448,547420641,176961251,593533372,100710319,197905558,549243433,487560458,856012353,92858828,268031614,106561053,292479019,137705667,38404934,263993986,270623413,252996443,261198080,81505637,483192496,822114071,417973381,12363819,983149243,262883037,731770525,748984846,214008342,997477368,21451837,82987402,246417397,539365511,303200603,571516278,213313155,844034031,27068144,47654270,704165313,5384975,885909595,685370629,843713832,138090601,642299875,369579267,203249845,897606310,406097082,461930214,193067956,158444122,369010689,102676234,719861112,454469117,242335545,367778122,124727016,408437834,717868072,811828370,449685984,106915902,675324413,67966548,958085392,983324420,846982732,799102816,632107202,812521382,6998837,220467774,523992766,552145359,992499811,243564559,176672883,286572572,727676748,171912138,1645269,975209769,784444730,238364676,161502667,643555889,603667075,161313498,561586229,784095248,961994337,199183995,112401305,733356380,164698451,943972660,465760920,937304417,482886930,787641689,487364624,492325445,560881066,626720879,478409260,442604523,510307711,142144579,517667013,225046983,372928109,109478568,5788372,133723643,331658583,630888125,949172858,691176458,244567106,440356186,454866234,723047150,589394822,568253074,379032528,557491456,337743229,399478544,824716973,543623412,929415675,878487134,717395207,766758713,463256069,416147906,692932119,743175440,640141727,195213756,283555840,503475194,31297715,105694466,561557824,603800342,264398298,118003881,229860239,242685699,280313003,261067443,975932615,612370496,893616279,114660049,189880611,836947636,223925977,694134179,61714093,103070592,256755548,690693090,744634665,669541531,364361776,781067906,359337672,524759852,681700560,911258055,258043379,266175187,985376969,973589039,810404231,686681047,344323092,469777972,781698442,883768045,511900378,403479762,612375921,458905518,84941273,332013534,232007092,467249726,954843340,578832620,817841058,444936974,238492450,531495949,287668354,675127408,646579508,80899172,47710479,118710441,529475683,697062486,499716447,140216163,579368545,207863190,454328013,631060148,333526232,454390932,578440410,886593987,407485147,82803372,872483961,172429053,937714213,169899755,912122690,666097923,300399522,145558576,322040263,661984132,869977213,77359005,204741640,625345479,897462625,429576551,818925970,641675195,509518216,486297409,935212456,255407310,46810908,124824973,701999199,77237166,743433009,825580231,737510583,869565914,207196350,239076253,160854101,703726033,596463714,482311055,319622580,251834275,438756723,798803795,930329819,653482262,583085529,429994051,164509089,524286169,96527711,273608107,679359232,461050380,711903291,957720900,794623679,247518526,210325577,178762415,293406800,572166436,299455134,644264207,51068042,358068888,438503499,583907627,660873371,153415752,654644497,673441363,274571347,932774038,858751290,907473082,770924045,603891004,543392381,72989159,144240368,464481639,567576461,208811886,110025818,344615131,504836743,689126601,549317663,256536350,495055434,637044827,755680189,710441033,147463796,72866024,198066979,950410639,536920136,817741101,758811627,894788114,71371132,203049376,469348813,244252933,112978402,593053730,885617757,251035480,54924876,976775716,584502941,845294171,859322242,327093806,300595057,762742782,521255506,366648418,892252027,843135189,336375028,87809245,277515346,423947390,670011693,602620390,988534805,100529074,297622636,128738783,344608450,518154926,205357396,647386568,11413129,273815071,605745772,535735529,780955902,238803305,72160722,488308642,254210590,719264294,919889283,282888952,764466204,84447424,562552172,372458069,653243988,107784996,777947740,525818672,711547447,610787417,801221002,889581736,948028183,841614516,983296831,187685710,977272772,280635424,961847129,998115970,111650337,570073136,384637571,797638626,203603489,875974552,840444424,5022121,214667817,422601550,700425990,950332521,359699644,477349096,607903255,408628230,454876987,925057165,849290208,844265666,110547659,564221413,633072914,459626433,756990032,247348989,594762037,251297917,579784396,215609723,359577477,429290021,415521575,220837271,953900640,438301732,713833296,65149534,698800827,595362851,494746879,262815013,144840150,265189890,566926127,76993334,898333765,17835830,452704474,301650402,663567847,428298444,253914148,809191640,535886960,479435984,844894150,487345423,933498496,181134868,125345268,42389657,131653715,807251423,75043296,192499230,950313524,249016569,433675012,413811030,585822183,609598034,998802123,970786381,88230554,855761103,715802736,741668651,199019742,300470243,103541565,46958035,949825512,19901023,665694592,398101488,360291240,479347567,740914572,325984764,96515375,391140858,760356982,162065718,514902097,13446798,934842282,47446945,643481845,650916997,274827440,60466703,46039594,622732027,108310410,374054937,232598898,463676976,689682400,726709547,100101887,759162856,854559174,970209121,711617925,223297725,200010650,855372343,266700872,186143668,861030039,578932284,136075211,13860939,264400199,416497929,267037432,83928378,334419797,51877942,475756272,778643761,567767252,279837233,31567238,936661748,705028642,763003623,689505706,907169773,526676541,981787899,707360774,305123579,362150653,32104807,43551195,994610608,507210610,226904779,801658538,592341185,196399429,763328448,91766588,961581196,275225487,610108454,593106130,566955320,721662006,692080609,671707026,416583738,630245801,124823101,374487246,248869401,449615721,257812372,265633643,390390413,586517514,546500372,134967171,768898918,818241403,45291630,472610130,390205777,670852219,167555627,297912798,770570567,189748836,108244698,71445472,91384760,477716838,854112346,735945341,378570791,839134244,275391526,648385503,911909974,497615668,186615245,91037685,592780235,853572035,9797248,342681649,164795852,813142915,233984455,871484828,428615449,984751343,814144315,511943614,468913955,14762012,473617234,797719504,634252201,181911721,536374860,102497828,790226011,961068722,908762303,192125859,5152282,304090475,617042054,333542195,329466202,740960306,655430558,126815976,498936276,695104874,955246424,639659030,137529027,81802103,232412960,701096386,974449929,270228346,186699289,609632173,487581217,743996948,985671186,332634022,485147903,581478281,219301122,214850589,475346600,163073452,854253371,234509338,496502069,468855818,349503909,110610291,381766387,430080980,842068923,810841829,10534682,947195913,844034129,388075488,512926636,769590924,641646561,695462610,27217796,741867446,650039840,571763822,595958268,989627691,942041751,488620850,906725490,738659722,171561129,270150340,157114286,617892299,196453740,159775636,294108940,908735610,781733846,822314023,236389617,403793850,603083633,150720172,504899484,56707488,757139369,132591128,854594007,321310475,96085648,542789368,523808403,191853681,688341705,961825771,44470840,922087614,110671299,423160459,907832378,482389967,126433630,96027281,58882129,82663174,601514573,762275316,971256592,425337727,668207519,799665504,234432250,627014335,575123149,798932362,76338584,965156190,176550005,613917587,546869503,343050890,424858864,447827426,347840103,378296488,136556931,70633094,846911428,777655324,991601292,455291915,789130000,54330637,837202109,414406718,993938425,858559165,703477429,100808944,77327735,928953259,561548283,623227478,951048234,365643641,252818517,167510814,587699923,625586777,473445632,994728525,284061703,618756217,816715560,195231343,421210632,399800135,694306088,867095275,74757158,706512125,866273470,823656937,894998246,946362500,189757114,763717318,445776142,704467706,516233296,826183297,570029020,45508413,399693792,487298899,872720635,519724819,605201757,297021988,444368982,791740706,592337095,970969186,257972710,34630406,983503446,958825765,461389725,516812538,249271600,607004560,167402967,745492167,196462803,593822841,371790444,781601286,838974108,60304934,501954236,892339806,695512128,448888016,844962805,159162079,31990836,74774561,141762230,985045977,85428377,631563270,79263494,122317028,83091838,487472966,177744204,658507978,481550271,671728345,305355193,278568645,502350920,408610745,568870957,904104068,733082030,899456087,200404018,815058429,171510374,390681569,480670329,239521505,772637339,762848247,26204659,490997674,153497037,302542444,547208525,855511510,17138392,277672652,74312849,105069448,483708873,564390146,711522650,581005579,466510771,674519362,173665206,774365810,976059071,979769339,261729816,276408921,534494439,912640083,880942367,744850414,373264082,74809778,989715410,814604227,138669987,65617468,283072707,655117604,290440286,547721166,799753590,130111264,764268253,880385360,438926761,191066578,744889889,510646920,35113863,669821795,568044641,502992385,844332774,720124923,935836626,141884343,83388794,240776551,673604019,556412816,408495480,832511325,864094512,177093337,242878916,146080110,706429040,742829728,517372071,802578300,30021023,721027265,367952682,700566292,337412108,921065223,2134172,809038105,179615095,854005182,650837734,76771753,944366236,681807780,94304479,886226586,979297603,91047196,392854741,156791855,60413431,211564522,142778973,114485690,504550092,635733822,518684238,582214388,319006625,355831293,286558341,126340568,940496988,507180674,763622231,216451034,837564003,496021460,393563231,683175185,975147219,888744232,937136627,558018917,141731169,159826664,512908375,140343606,473158324,996338101,592530785,27061833,250500901,536192559,69167655,12488416,276469737,230188923,150194085,308567598,808723012,540153921,635674218,34364258,573138692,840083591,246611605,195674985,322082282,244902852,254271007,959404815,374370074,826457376,617986086,116498511,57472933,972365849,273791633,455945512,523848134,690680406,824296987,154743246,238173559,384393062,28365134,232912843,300847628,357572239,889225029,226717400,52107095,405474347,427066161,79890213,103008317,343414535,210740736,604262010,679861650,958056075,946064859,362162542,221470715,457854510,118285399,381566030,792770094,18934426,142471862,311487466,836564918,572520080,671483489,742321783,687751958,97064296,756175661,241019977,154957972,775471998,304130498,978405073,501615246,631332944,64651642,641029548,660936550,714033081,500707835,349162421,644670177,771160647,872158566,59207420,671681386,205747918,518145722,566827151,34434070,979169753,559716998,178410760,100358641,201318003,439958104,914645294,233640120,363985409,840947238,564881364,257260688,623440134,688218924,424506755,638716814,391362324,600646935,663237090,694453177,444767053,384869803,163063315,425525399,227105528,94246437,773703429,49415571,136116233,400274283,761034313,220459831,518975605,435626073,503711042,224520753,172158033,169688476,900391298,457214657,671655332,92602477,980673671,404061464,935534236,849913394,180425345,934883624,61880852,645318303,146641092,86538392,433500179,359787803,874144540,139718242,854425290,23420694,660818224,644037340,313731579,218062397,102161569,28606413,759825581,248199165,586678882,914699551,452648297,515957833,761562738,233162044,346326984,853862644,830841070,425014203,562235498,49060902,553788784,640501662,108346074,220109081,939152917,239228713,751798769,226135237,140376977,399425437,268426567,764260268,916098316,809768337,716730684,681816095,783870310,817266580,633543718,860295118,926929740,679169149,18285285,687416226,10675125,655258309,327587502,992508473,776465403,423853303,490551611,84446753,960494381,959501583,593455111,434439739,168520694,1727406,908945848,803095277,125371173,334499687,426374081,902787252,440197190,333120704,390014263,807200810,484971867,157120824,283844808,90210200,947611324,494343818,587813812,274427504,852316689,667398766,346655400,740140061,509352436,636311733,793205157,183270123,528821580,83135772,29784188,353879407,698287736,463055531,564759558,261309523,348463154,188680933,278609499,288812098,850382605,978769896,689671583,370541353,815874615,42891369,670704124,988952538,361216582,200377097,600601899,403660617,603939276,145915267,806932541,353991720,222739090,368586496,173009804,541341575,346398930,233248410,887591769,755018233,972094345,420828019,538842465,251467951,352864990,895353714,827680807,381477155,602468267,937358463,432578363,389537277,876644867,771044036,734977046,412657570,760256673,3778120,11409995,62626762,691073698,807698748,224926476,129902797,656649283,259687750,741591549,595472273,444741943,80897351,768544839,596249585,695134512,651476099,798592604,459952429,49958669,679208948,95615299,940424773,945722672,910918817,77983391,98843349,421638127,489044821,870903145,783663356,309232266,609634888,442417798,722235924,602236470,752705151,780987207,743293532,768550702,674024795,211633468,353267069,2192426,881314049,33473358,518139082,952775281,681579622,270065564,616703943,246953786,428995132,24565273,167351238,148186602,174685767,52000683,476069772,361436109,585231658,563618451,469679252,5357701,89196354,519323895,685961090,673888732,286132475,828058982,112822276,946475689,257905571,513023089,984656276,262605252,779796802,234689154,329092184,859106879,474501900,833568449,993043778,18201492,529381955,566675611,981534613,467270010,872478329,587798813,879023023,374380701,670120309,420572517,346193120,667691642,586359520,760217374,191071261,621641053,194159506,155133331,995699089,373945392,760431064,20474637,345412485,876654472,247775530,21134216,292794244,70881705,17033248,916658589,147444337,89432692,414386538,881071270,547837434,473533446,563950592,431464745,973951109,540099399,297605937,855141676,811451846,340000763,95076030,850913523,429587891,430009729,671013372,390731447,347090843,205520092,108405652,8610937,898419346,679778687,823005918,435834196,666083490,813686475,657076421,96022775,511309328,259539729,586430999,454335009,51128306,163494169,798637904,663557173,641640227,315750491,300951877,103033855,558307683,171414822,547080870,130034656,139351265,952833102,313882127,23194626,723498128,670016452,863901018,65330993,149852124,46095124,966692630,907631208,179131687,782141004,739706942,921071125,580715527,494175560,250520200,947503187,935725320,624974152,932145690,635108473,583925009,943993525,732820609,732185565,205759698,971483546,818437156,883818758,648556857,160853073,347972701,411936259,342610326,1583739,260789691,705388948,411638707,341823653,201611905,59596742,19420395,829664336,101542335,926730051,647207668,822562499,830575229,357823481,67082947,841007040,19199736,629848131,785178192,664795997,650479804,144711375,969495797,201903980,469031270,101126290,601811841,414972091,707938410,134643942,316648721,932553373,196677635,135823324,285873888,314258620,849644979,372485299,144800388,636534857,486838965,718959822,609313283,705527210,386171173,331314174,927358422,207060650,411448579,32060993,82457790,288165960,569773236,353415590,489710214,64054706,662995368,317744951,133556477,855690340,76844890,349078405,636207779,623873857,986020275,642789184,775474463,652034446,412764484,974653379,219073536,996179841,579599740,544736897,622116016,752676433,253468856,908940458,631694511,115245490,961194666,636914407,120024094,191172505,656609393,439224085,662729348,447492693,546350823,549068015,255372250,507793347,168052206,858606855,38444516,921628436,509294223,828094814,850712306,483075159,349290839,25623876,748647883,29941391,862166371,801032138,617966500,820599758,3845746,966326335,777675275,929792510,480798239,363340941,800229477,213124118,206806288,131423021,2281237,97345993,240648033,389015100,997747899,356757178,821534044,594625898,54811103,39965058,853597808,241375544,574128743,11988362,908582406,385618665,157134844,738833123,613934601,384663001,322510831,603178342,293491005,460701176,284882285,729110766,42822167,391564854,562866607,162115114,245214488,246562286,691170784,954382783,678736710,806486448,314522524,93013353,599971230,652909220,964715955,537175757,445585318,594260771,843813462,106748220,716660103,215228868,200074526,523646807,597740086,632114762,972274742,835482772,703219355,321798326,434651574,517812114,204509924,20101817,227375654,945639057,926993978,892140081,33971387,54769575,343017605,934533237,652359679,815572911,946344014,672916635,246297237,849036821,914611642,950759803,859713779,929340752,654393783,554300867,336981082,483922886,248419390,480989368,417067735,762990504,835987161,414281166,638817093,327949304,6159449,107960857,850376189,962053620,99700399,758889168,988237055,768654083,631850309,88507752,96261689,366891115,68309398,408303516,46761286,54054152,749430428,634462018,487034145,486095792,293671586,151810236,112682459,875405756,407312380,873856218,903341692,50900359,643802165,146511745,308666783,808686714,297501769,695548678,843896752,381994355,56600070,182654381,573560643,841926965,664020617,560814054,172709570,681490423,192108237,303946857,60149072,987681057,604468031,457280141,277267148,533965698,800619727,76691781,92257236,337794491,239052716,626317700,399510502,251704325,670752218,927152936,889038015,626736644,275265385,515648766,19125327,175166090,568750119,625501153,470793115,52455375,801639694,175190757,316077270,523877302,955136331,938114465,726979426,199636440,608250040,108896504,595174659,792356602,463936211,851690826,238053897,392791052,305774738,684591519,135386936,346051059,183362569,75586124,646353433,488679784,832989845,205664941,113532124,450993716,187949277,256063970,337166613,199202670,872612406,553546333,903170555,69845615,660588872,671122490,563659156,801725995,355501935,909118553,939839093,644663952,347383679,253593685,523963999,557203202,826147604,194666331,861708858,87952087,883309353,874998483,91830423,897276229,129328519,72811858,770422665,461455678,485809884,494883436,837186598,373830270,631622730,773475492,275179508,650861145,355000439,91562598,629646276,552922439,713183278,240019971,175753795,635093383,584349041,924850517,54904519,376147794,210923883,509987679,441078164,827377036,698866406,587171652,575786123,31433110,365428766,760895433,43030326,347978337,886647197,512325820,691911219,404955085,289301521,520045940,237563121,184761742,89310806,64570804,952769912,182768669,819422692,110269467,527506347,893625949,143027389,24016234,199928619,744422043,702035798,712667944,289662759,964554929,933993721,417058552,210486592,481812223,666167156,873934605,411519672,852799097,515744464,480268034,16742969,878069178,33913,648360237,336920253,220617059,574545230,566016563,505981993,643030446,695159288,255391908,23004834,176898507,618476019,834890391,737275058,417092945,747097167,834541403,210034475,216034830,379246087,809542926,29333680,292639856,383070222,570221408,530397967,887534051,328850434,15819775,572402363,47665037,521758585,623235406,559513937,398928652,912874491,932348188,914108299,727804030,999497402,113000817,568451540,798657516,64214238,13480936,433132202,730799475,546728116,823505447,123465792,833277600,524947339,935537821,408657250,445931457,227996233,111001807,607457728,22556178,412910714,647256143,682939959,807986364,453424801,155355381,853278697,868267312,671536125,716790991,690718391,24556365,800422475,200713387,776949842,640329486,539718390,892073081,751106587,465603578,350979859,392774049,737668400,337781649,570031836,166894659,213634696,621884176,101687818,647970667,32660175,407636294,751408893,898195838,925428591,491078134,263892285,693472314,647131976,432943337,475860198,741421708,654638364,409628361,598518393,276826709,397764515,829935787,932166470,929454380,291181797,239800944,656409758,828442922,218293656,715363236,395858827,656528604,376428430,910174862,382446756,816261707,474529246,254393697,850736311,814969485,76623738,807265106,567179003,852666402,26368387,243255783,862174826,437660763,825663719,153473943,673815575,885346838,749354633,227944176,593180822,883085309,679358201,101516744,648517780,558709793,904250848,135539008,985417751,890798682,216080864,160707469,212818325,936020194,301272013,917294257,317856443,845923707,743588957,452575338,377267369,180952367,66228360,637335141,948476637,273905796,174664111,775529891,42269585,389061649,175304981,791483882,551138888,981290016,933465151,136041626,970828595,881805865,530659302,131673355,468312513,966230113,220075904,574202430,683756221,691183272,153652951,391769245,424822563,433437484,50033463,582763591,253174742,497131125,714012973,544521248,328421815,259113998,466040839,361920263,173139588,137616624,400261575,427515164,4512961,626158842,34495521,938588464,756817567,112550928,304678185,47448887,585855690,709244664,543616341,507125650,595913468,392626496,918477618,303981209,55545944,327167138,796348769,999784642,143124515,869754010,167008457,540184879,309886119,810775485,580121227,621495520,877405498,978263781,103176482,521872626,329576518,21608418,429930262,61735471,149962604,707910970,469969808,809872010,472286967,604093798,425499879,937162693,422644279,128594315,204673093,102980943,835177027,502096004,937961657,258061152,793960662,514271535,196523326,541852562,873091852,536280675,941856090,665958096,884888438,887931749,874413065,850801270,850663872,51879632,541168347,293326047,290895036,874140601,621956792,52275751,921478781,941246745,618333118,445663310,77091212,655318097,873077286,267888560,408025260,18981265,353135826,775806289,864073917,603167328,68268439,856966592,776452587,716263954,661943485,526717345,572613561,984853298,51022864,389549047,656088993,922427077,441440945,653224936,448980070,623140515,470763907,599722944,635319127,159019238,529939552,270046392,748818360,14437834,38036377,744026374,733758616,589084785,895697964,308267335,610700181,417220922,268299169,517658714,800494851,790246018,323437723,419380138,784530573,786311667,477348032,886514368,603053356,8875265,923126023,67859664,2263262,81564628,637668245,405075398,530065509,516342684,15161318,679283480,506446342,423948098,429864327,225407091,168705688,822101875,79145248,588164816,939238422,472687075,813777170,209361154,279961691,426352515,625176354,436604018,593656104,385132221,27457216,422052678,599456011,977122858,951149860,134405162,785476015,683677143,616292005,592876387,894096286,788352055,295190069,262693923,512958449,653249094,671314977,563751364,295612299,885434715,958402259,327361439,388685829,190462685,914374511,37776931,109622274,635931261,693618332,737985184,326378667,771310969,72792512,121082634,638910178,738663801,966524305,886428042,903333549,139867712,329635506,454807900,273652613,948204337,306326077,680382991,701957252,709181371,430040294,646374135,743138503,784354119,397902614,980888582,943024409,469558249,537402058,365214551,519765683,902709049,553352164,137637347,907447972,492351595,500016349,853610680,60210362,555343276,803732280,977608150,493311126,667426308,426868627,876886125,976520541,340188918,74523507,231073465,169232856,977317553,763305913,874597984,804314702,365008874,605724694,166357858,175474443,760139402,857101038,880885333,440492653,120547624,331179985,598956111,36961273,382329770,61313774,903809554,945582656,603250083,949385101,101043564,434069502,741951612,916167639,41246808,611429570,796742463,550610914,855229128,433359938,395193663,77778212,741047582,176850694,948623426,952477399,117484004,528373876,126617977,367414017,354475843,67433983,117429056,476800567,886396872,891911371,199448852,441790094,66946428,443042301,508711359,229056599,82673902,232183014,199336346,457468359,422866886,526609574,123733560,347225114,923271917,657287052,401006520,847395918,440452473,63820512,861323514,758565543,371265610,517960709,175129097,117311493,635797644,17281900,429756483,506461929,144828127,859719673,644796141,827465377,580456718,148887143,17429279,907614717,163853720,82475201,308587042,981207329,187793974,926167332,86726967,888737798,67019956,375639746,597475322,786503026,402902817,262568862,960353906,866336899,607091050,590957068,976463473,120265767,644839530,448102962,54295965,477178996,52989616,190430595,52011201,586395626,68785690,601268903,642317723,314572997,891545643,983947537,901938810,736840262,587774671,54152973,214586270,861629380,375888993,792128660,758805434,610722348,652260583,482882316,609175648,884684702,767347504,336326620,980888766,151313345,144944714,160879586,348325435,220761873,292399268,74509641,821087756,249138467,57586107,499141761,681909765,895343661,383998405,385054846,697772610,264686654,537728762,927037010,337109270,45063887,995195801,618825483,58929949,276959075,23587876,914564694,339702450,604099902,393966428,376107011,851587520,890345473,258642304,932864771,158665752,339652727,650186666,270649104,65197338,662303000,15858541,569732331,866185578,223798270,825764245,843024789,101338031,834345592,71544288,904700599,118338327,964307475,594438972,288590904,214853027,145110207,209897947,939130459,421663399,197831322,324476394,583048009,917410219,60561505,641215483,574952656,886919000,816078377,65318921,782841805,747501604,676311251,799133890,976868059,877038081,777666581,739769252,10136799,241979462,722892501,857047564,404427106,832677272,585390712,769285413,906031543,349457511,721635917,927345330,772364528,209577357,555120129,4695168,474495672,143482042,932472003,745430531,458513346,651362574,598785325,353207018,93314772,603236921,979520041,788404896,560078389,780473405,296242445,752161002,220526906,539137168,907574311,403478485,805337219,58598089,878742722,549395077,315942498,749481217,135708856,667148767,259852233,984878579,987103894,976269887,303403900,808792230,600338356,652246795,792897565,650428497,762615000,738791701,688806767,590832939,686630628,507938485,572952486,825552348,919231805,452861061,483028085,217349787,947455678,364148776,56493453,316277170,31574773,595665536,239736705,549376748,316952644,284495528,212114030,813421410,116411703,523668683,786614230,304726939,150842231,948448954,34737850,493604710,731446594,622597283,332155777,364083193,193205747,954212009,117648665,974856949,327768384,330407921,762849413,140293167,434601332,973565189,627083534,653063100,634332653,386853928,116191635,940640576,258620498,114318003,853979089,91719532,692518439,792326132,937904356,529723730,490990931,277067415,86607700,677037103,434003989,201599970,649445958,324970611,999537882,251090903,11342933,516918482,941334890,415313024,95764654,413128439,108701547,368856990,972235813,675853728,669950736,267662711,822747576,945139068,996580991,589168745,359273257,594889446,824721692,390361406,223865396,471633036,691222512,471409414,523422718,98001234,498086030,948552917,489569846,23669927,557800862,692740353,373568236,755027028,982277692,351987067,196035754,61130376,975378300,222823560,242484661,460401427,793609977,537519358,69276576,712146486,307076371,995253598,633919947,580086650,606929191,48353269,783009465,721581714,668116121,153850855,626082663,840705934,594125188,500923878,448800818,185831989,704189761,868088451,380692905,863853789,656449090,324476482,60254016,837900799,452725656,659128754,101539499,109467980,155891588,12668296,450520351,707603304,762377913,118543020,819422606,224953226,137940282,157114551,688954616,248333325,912805632,98708017,651095395,664533352,744976589,573544711,977532380,80194429,908798935,744326218,455044147,971540534,451000305,943542245,963557281,582450696,215352592,488474896,378125462,397348884,448842889,142377177,661147398,445673740,15200016,998593620,666403862,742124295,882357119,840293485,247896681,238510772,72077097,790191782,29349972,444514156,60055191,357220223,979465404,213448912,93620179,998112855,904557816,726980458,662114361,820709172,604268576,488994209,322008906,834762719,932202560,740259420,184447499,473221960,334798983,665080520,24273087,784268332,533649868,530197265,205873936,206599033,266021515,998694492,469589730,42437456,28871806,763044667,873180659,678279234,837553236,14862073,271226825,113309564,281589712,739389790,889650511,208213166,110841140,252055549,663348023,477732817,7429285,252607696,131403048,701598584,497892468,188471695,611866056,826896571,572974253,127095626,724147526,231357599,31807592,24922946,688294501,53645973,154082972,396763680,773230225,830184377,78574159,355007890,44038892,27804658,633282355,262090439,743135846,249950277,192811674,757764405,62917549,703165987,980510195,792376043,180718987,661013269,526504162,551175253,865845592,212475506,477412448,724187955,842055161,625270760,956331704,517596657,97916410,739193309,869802411,528315079,360053809,791207767,882453767,665452919,378750740,797041299,862416661,935701931,821397038,753651411,841721477,234942511,996583632,408198954,14034632,461612983,188296368,949255785,332549182,819710392,807244647,305828812,783388050,607019126,99353559,257546142,689457037,990133928,894447613,545445656,653747779,676054528,217278583,124993572,997153662,937480216,39349814,595138638,337393021,211550234,504307969,533248999,129438619,108570227,708148417,772152503,267364797,524640969,325993560,998351111,469229862,730441223,655163648,868649092,518031005,541225412,270251999,548125803,10425728,525185222,9204728,131213515,130379067,446123568,927010661,155732318,203909777,434524902,100554826,526707156,497831019,262196685,437719028,179120960,392856653,602082239,323312790,913478482,894886692,554348994,463452016,649855437,144865710,427376073,133240608,594239105,322230373,613679652,510444121,460603812,111683891,945694476,777131582,843885076,257664933,615111746,267339385,200872157,146316667,142074036,370236263,92122618,225056129,87570433,571232247,381912703,940394360,593327812,567063392,676159957,234989543,742841948,166529760,225086103,913079762,49515144,967645431,896918959,196011864,584923654,570315000,150408083,822732739,537686339,408592887,783001547,74518797,373960945,244844335,330536997,226264460,721909404,247772145,441264015,131302296,527771816,785797208,212875804,365168372,208349576,608825116,793684232,433802337,39697415,384438798,388853826,49701207,398984205,757659637,796349181,994312700,627122121,82435278,493069702,515248501,546603785,965834786,526914898,115138670,985842370,909078792,151634822,321788442,906852944,987383519,49132989,698976144,672622668,721046966,729027142,263197472,249512040,137370994,521026422,364426817,195958050,16299585,425890527,625702258,335822777,424725500,488877154,685813074,296319954,565670800,287696728,167066321,992409332,934496703,99158810,900312339,97498111,169685884,521937130,765513359,124571992,203584265,672693836,972858163,440771082,989344401,588486979,656400850,656739676,400164013,335522317,957086244,66512514,358881508,292329301,847231903,887585371,492071164,306445174,289743471,969552904,979238531,166750197,197863223,210045584,684778819,508077053,598622997,465773284,892792175,965069659,945623383,882285593,689327749,479874469,767695076,527297791,876383747,518501490,236982142,907826709,654711977,916402673,431452070,562261673,472069762,359557263,64810834,109374255,478650822,467004910,658094620,491274748,740460451,517543485,170765760,67514164,189397661,897754899,698916301,257869149,585911865,291081959,355807935,627699562,672697863,378153285,310892216,905756458,800338532,100750514,262183716,385726789,515212062,846988397,741374778,935501440,537816412,314664588,644113669,805423838,667183662,133982075,16537263,833930839,805432347,894702606,670328405,721316608,203701296,647642986,766493404,833396174,206548314,914613230,464595404,773892338,176327344,9907258,501134437,119424939,960574421,346776928,93566189,128288733,347961755,811468230,877106073,644907164,710382873,869396556,562782076,271765576,150138418,519977004,311698311,473295216,558074020,902864750,63041947,167981179,681493415,922625311,139430698,384836998,244776809,107743744,758449660,916446839,540753121,278640466,866749835,629090566,401081817,572463831,841700278,848981752,237392150,725968333,710444778,957935789,644064172,223760774,318145713,281506276,898237029,323892409,159059807,190134405,294689647,546793765,415166119,804075443,573070018,905183941,218117932,530716709,652063303,548801894,927902568,808006137,920933209,500073133,647776322,659772860,591719804,403266533,762923556,73290294,234330065,169646963,32726695,276139069,619517579,94969208,573126573,475169877,785419071,91259602,925628376,770823169,731619344,397469737,394041073,407440988,400544707,508555515,622476745,631173025,632188256,671261913,491096014,164228752,35354379,425967024,583889894,823660279,660854351,882892134,634823066,683965824,610667142,911936924,833326313,574395477,648618034,38695149,812640761,47975790,43669278,221004393,611878368,972110440,638775488,940561069,129650387,862979767,37892033,592547251,253500791,96549002,851210732,799875318,42775206,217785275,839517296,485435343,301341764,699605206,954809569,831990133,725019958,845531437,366243854,516759022,74913138,722525954,486903351,760142955,371742760,955699818,574118549,686924598,257711843,428446660,766898099,809633088,630538084,734137233,286724018,461627394,870153680,165372175,345946907,209163746,910524368,863268309,803113671,497557351,926003720,109385640,163507920,714769276,182892738,899213809,516621674,289514672,848715525,84721576,753001950,350550842,812998504,610300904,523736468,817253803,336975471,371593140,785989146,497109701,206544816,766441671,99786593,133215921,878373245,58170562,606637933,315565907,850625031,254982504,2322375,673931608,103146591,889791634,53859513,236213539,754138773,546612172,941402980,592443110,86066893,277639763,162332751,86043732,212529565,441213095,360491824,840785602,190393423,642379966,80721313,402355242,927781196,469799245,590172299,606339937,5413578,146423737,148690376,243111532,829420215,697815025,636806172,743365981,460814626,871812196,504718439,862071287,252586500,993619929,479977191,631733445,52870513,743593306,741570060,777667534,128151224,771329306,41041332,10597413,352729929,251188185,225372418,12479020,752477331,3942053,125814946,70913120,720200933,279271291,566848753,858073122,940910986,877798775,871508440,614062856,815594058,876059723,823279457,480929260,40352357,988875365,297921063,731759155,603935241,729487379,817871668,668187609,929237989,449086970,186122534,101142710,929675463,135089418,552210928,315426627,5233712,917921754,657055609,550266139,470265096,883827453,729646435,357677816,845952811,571117015,913977204,601693284,529006886,932917762,481693141,698906180,387959675,260035439,842171277,824516600,518015700,542728175,577998960,101069416,805388411,766447926,328929560,751656721,544965822,760463448,198196402,842324505,804735228,462418359,335418143,242105522,281665241,659291071,347839273,356046462,533799667,828569252,512190786,702549287,260895952,381315749,769239368,882609635,584481294,388448206,407451586,293198400,270174447,120208446,241748147,483462515,776793722,622388507,200330775,967010761,250576677,726513472,726069485,725439316,200261002,718960545,34542321,549026667,660725122,5422737,57121478,842793349,291340232,287998312,721236850,785406424,748750705,439322697,517353480,75322660,585021555,136739227,145850185,885888503,422838996,50741698,48628260,839771517,39389077,528131123,14368544,350171894,238796002,245854429,947070820,45132283,543993151,836508620,474595641,558050520,782193545,156670437,234184698,892054889,145761990,704569628,224043634,206824689,393141268,723310233,832981496,387984497,40052999,104574663,813746006,817384975,63898040,486318506,260064465,592943084,23240710,847527467,376923286,259246087,494098014,782663012,329419024,342227885,62768921,611248875,246285944,402000507,442687545,975034547,207136541,191403959,529045989,572879496,165786144,493192255,847716119,119224490,627518886,323209929,315718783,916494290,585702839,841464216,520932310,348489811,132390501,413377524,540371257,418168873,955036878,920608636,540154184,508876743,920740995,757782801,310874249,42913631,242879670,158677242,738144214,344828545,939390462,197869905,17670721,822852448,368984731,258867973,23457688,387258074,929339415,509717426,951194537,644767317,425955444,636212887,879960645,710756791,669166455,179292324,550357170,948313561,476945344,194469336,106095815,6855386,418771434,11548757,192304716,354748364,979469930,915164147,501698129,273809447,946197186,829167286,6569904,915403236,592658407,779327442,965554044,201160114,626496382,143101120,467741750,83550289,957113319,796441276,403558241,452000951,501480131,370959945,467091176,206068140,873309189,662471285,293941493,925133724,927881663,724887858,128222908,665734342,101477207,573121739,62293481,140592987,838853678,192757746,659024968,961526019,719306213,425334014,877597363,23620544,801210194,723505418,512102487,442685714,167435703,31418071,836770231,480734294,419979204,635484044,908139479,176554736,181825074,322968209,139909800,253322862,490170426,136350592,649358312,302574281,282348063,155512751,307954016,473817489,654207331,5436170,325483422,300442500,456426061,159594368,535209988,979458828,985836157,807354866,983177844,879879653,868855174,572852449,263839686,898635347,109095469,719294624,593498332,365882058,871630404,784843924,944376771,417073129,990310588,925143393,666279219,23486219,283420257,103641855,518238127,922990123,95033471,361689283,27046571,750803698,664675800,929772949,835429007,448952546,329167451,940031872,730000965,55981542,705416127,212837235,36334507,358262807,297452244,190474851,892271380,397812639,840169239,661632956,341583785,235284456,792636700,993381847,409644560,231217622,676533253,335609291,206675057,273249101,688936209,499971347,903352428,922367950,953126803,587591703,45969420,291330793,624972603,603655752,818893524,64714672,380762708,906415028,876498239,699719436,484929292,609934802,296958649,23073869,709142303,408520799,111061964,803572874,711826541,166166274,594694644,350363955,553825098,632161490,94517549,685210653,944398116,38503506,453895113,667927695,645246018,752596372,181454665,331458940,10102572,123200794,438733782,328987668,141403688,59458490,516081376,642431121,941952532,868287545,319415044,49122833,757057612,708357766,790421965,5217861,66414072,924885090,304545843,459822034,42465726,387934381,785675694,920267660,537434082,576966922,813718009,166029160,794120106,516643062,60164841,564372781,459717578,722913673,161064642,852147205,579346661,953891836,588221117,136824443,515520010,313576656,714496605,328882696,860464743,724643122,302908750,872755722,336438801,37660795,380446259,651591349,607672690,992932972,951372211,386124193,140953678,992674336,427825601,198394579,508789731,340662251,906587698,228275429,914005210,699733997,768483920,336742232,103303366,573215799,316210908,892578609,539215582,895428114,928963798,219288042,501555439,478176946,276956746,519471578,334295531,926375044,345063213,23875692,686149556,367625240,923240099,982239442,741830844,971996363,91092087,125816144,438264806,645522119,995380476,204340647,36511733,667260736,568561194,971218134,178918322,949928767,789381313,509264196,10263012,476890522,382824839,3218061,999536627,700400549,572949255,57886355,487664935,731446068,322009859,210070872,635250343,760441464,417263317,220352282,304817437,315068744,446843190,490017609,343743367,105476786,434737547,994554761,125915220,258844933,593206606,992612478,460559537,821406314,120308316,125228877,989891967,763247003,730689118,750112393,269886315,861612147,629495284,995271377,913623282,978957667,380748574,530486543,167045933,937239766,160580490,345465742,740087287,199648178,653218537,72489425,476356938,915030851,369847305,488603102,748491983,668414874,588278894,839084007,313513944,823900588,528754019,465405229,119394206,764564499,781682760,768038805,283974265,919991884,286246575,411639386,718738709,942980697,605508594,829933671,195292656,217779951,859693672,454573827,890381626,358387257,123208115,784600970,242228379,521302177,108688846,257769185,170722859,611742154,454304626,120429193,638727409,712185096,99864273,982797992,39289361,802458098,735885733,138084382,672038835,429532229,755424421,11925113,541359535,3851220,710612587,859049326,226824303,378084817,880905535,512639926,398079207,476111746,465709568,111165360,888093349,203252506,723749908,203424701,825026113,444412103,922233310,560210290,263342011,185902702,374098121,714403466,579892033,926077980,881590611,592431918,535563527,660205382,321451635,650161553,188291674,475172216,432182421,136427279,8881214,33065180,980582541,830169402,897741831,833919490,388757005,209625960,562298219,841198286,387086913,28416165,536234169,936261092,869795200,633732255,583690402,912909935,139543276,295173807,369212592,128305827,496678049,601911890,430842764,192944663,744982815,458347151,299367511,841537730,896767969,590883800,853102476,291073748,38199782,169877189,278260782,6151558,538848297,3269711,778799547,216863126,877732019,40211908,395565875,848362778,943910443,960162466,101405102,355603238,135225239,557541527,904773738,342712166,246845344,699751661,911194592,648096980,202600981,321991432,831954226,405563561,235136064,101066582,925943261,315656633,802292044,755633593,70336119,692592701,508200218,340826610,1750178,287346399,582669040,18613000,603477370,429182991,152439405,548373113,941685992,122525121,311596229,677929072,686740419,551174646,975646265,174912871,332086941,835188258,104665797,923155760,690799581,463316525,760937361,408402794,384524154,238999250,664811069,34623069,99809581,791750190,540255705,831495122,664024318,467793965,687662630,505195105,679195454,712640518,404407807,18305707,408796821,94745392,987122058,359243208,940404516,349437398,700858946,245834038,960239156,804893602,414277640,524434576,937737849,862822848,241356490,448653891,774625363,700047766,858170727,468696270,371169750,812305172,407078248,319459080,14575559,869916696,605051064,458270927,381614459,220493295,669826685,76699142,742313538,578655087,99348549,638289611,424994279,483573056,266479939,311283706,809813501,306650477,651105684,111914806,693116795,906857002,399146430,786713284,58050971,804773502,737274400,334221521,525382798,480411780,64547304,830430168,613743921,810720079,711016591,587876780,227859896,79903628,337415814,766925192,413953085,968071044,940492735,859606382,819704046,12571521,514887247,43987415,279859886,994722731,328252401,976037706,275183007,230168557,828639678,605959544,734868936,388402530,134605131,34448834,907706720,474480183,909648787,296872443,281198647,209099299,150879910,859487805,614744388,951273151,488629713,747176645,708701155,770402504,82304468,272665620,714995640,183339898,167226600,992408582,762936226,656294115,598872996,13998339,6350989,532873732,937248614,778562626,897640513,615948966,792820661,406858956,546914080,588869072,426952889,598364892,191297659,120704582,644852405,708465877,775149887,945605391,506612855,717259397,191960151,415460960,995152594,53517496,635862395,783703951,118419086,333273658,202619752,956842788,828608954,247594391,486314327,935831027,622762407,341722913,626166471,453606090,687925155,509417196,294712725,604592055,421356081,9058670,779205232,392055054,362551501,426148834,860250353,519977462,906522317,930415726,552084938,616437629,576705321,7496740,121488452,161109625,378495403,107966941,269582524,873652229,963390414,360032608,680211738,30528034,975781893,947178499,795226803,723332746,644660874,505460180,974723066,17769636,496865400,88582682,702819664,450199753,52486241,905400247,324565347,897553650,103472998,88298964,55675070,349775971,544690673,731527179,698848609,885487562,265062202,18901143,680267630,598718277,421330350,814137289,263434356,841012098,153092659,667394861,772141886,945357666,951279095,909371941,748956611,6518243,267842858,85476437,328802615,800045310,808027768,771030694,698097889,430292786,19650646,404998264,967260041,712251179,181992048,347634203,816234379,117822975,127505309,747563181,490934013,557395675,211291887,223154085,485661142,711988747,490386362,668940330,114222388,21711786,15885505,498726207,673204654,71176026,542442118,161717400,299082634,995073525,328189,92569138,997852171,908947914,813913506,124349194,789749376,769205401,269562832,186636431,426218102,987439960,544658443,479448402,359333995,648863668,239938482,976105248,382163585,656693477,622243287,504517466,190659743,860406322,768925516,511815339,458942205,678796225,416040575,156452195,964068510,842839309,905514460,11144761,432563059,176911966,456629418,532858206,34590659,214199089,147703879,545256018,978060125,65582640,149467035,918430291,379345633,622068290,396545312,977416432,63842925,184455097,204992624,510279037,614875420,428249734,841258722,408456495,647480238,261208502,65797812,14725872,816263207,946661533,542184888,684113035,84437586,894534273,254331636,796284355,672810683,819989474,500256200,459552541,28567396,214257117,525729166,150776706,586271576,790295716,626619327,209071485,489447744,497595435,155169688,445608984,776099390,524387058,852225576,159753875,813052077,402968709,762130352,186273743,174523603,79216871,192007964,225019178,35652806,230036032,948807646,303228740,951629767,536049215,966846327,692095613,340057254,603574174,915550365,825315163,882691915,608723687,367601953,112038743,13274181,831989424,869841685,577819159,259189514,549749748,810136887,729113868,690884449,317160218,823033729,758518981,307563808,309914537,459685973,969543661,663381326,540739901,212920707,561781550,504426141,335301075,955692024,927550140,405804021,434328713,59782753,778018240,984942164,289451232,634204391,832757962,121992967,385449186,344371929,392184443,365252327,236371205,878550105,49434950,261401138,139863554,334960475,663375380,449522204,628030918,640126330,153095079,274176702,17137094,622718747,198225209,896215535,196291294,788104982,360945542,482199517,61780664,804733709,842723295,533175212,193714219,146606031,554831158,740931736,981235034,385101037,324038389,98081803,209652112,524894538,556906949,598381091,365604455,818344672,145038560,659478050,260009568,319651343,954795731,280146749,853755722,219352039,953565398,90255264,393981532,346642972,532744470,310389855,190245913,328470773,424054072,403575815,558839948,334518467,769231832,12081507,997455998,771087184,259508275,868017645,605782230,686114316,59878676,512238943,400104445,321510643,462025001,603044277,328512662,600729499,686569708,81202808,827955695,90701616,168089048,683429175,156114411,604926801,151662587,499929537,493827720,509738148,301464705,501122521,249712851,30187108,710309730,586920958,927459710,401474459,301164580,633391583,257401333,259356285,754962158,892424132,219763360,509118939,750925801,861610700,327005274,381364486,100711487,347593386,662209524,172152635,476244143,322120484,871870739,719287612,868609561,651082445,73636870,255939116,864788918,733371060,477885549,447515979,260996223,132862823,9583465,559904138,842922601,327726928,775409066,354271631,886723820,420128334,213515576,647417009,230672650,454593239,726203152,936692197,416445300,456949911,221639320,685988178,394522022,262465314,685031777,902499325,967273575,719722451,477426687,462064336,240435241,808718934,185781824,832888331,366910820,961004930,86059875,956313269,784726490,953237198,837845776,214144929,701312907,262779831,739743531,892270841,466574750,1215306,768824917,746555034,400290052,559339803,949538691,969212821,778764948,367796259,971832334,318690822,152208137,488621157,198313074,638012602,482728992,803205947,359705174,410867432,228602165,352547701,471210182,908030487,543127353,296263554,970864038,62671823,792301093,70880162,385321664,97480719,55827638,477772880,658189900,120651222,674288129,333015276,738755540,405660289,688503710,639721734,267102902,315516912,355321378,389200539,305027369,787939731,964381539,451299247,617738212,670213495,218233848,832899665,766846933,898597988,88124389,680213005,556496917,451665291,656825152,185894453,32044409,901205796,519326973,960333651,890480591,434446711,257679847,830873669,760349119,603681116,122837758,320013743,534585140,873829971,525098623,505708863,440206900,323727428,527038408,649288459,142139231,290935411,691579108,198133237,160094525,701840136,296034162,563056640,190092175,139509085,540792072,344486466,863838282,600879284,179593093,187047607,26776479,168378073,899360405,828269168,465261643,781888369,931994288,834939308,426677928,647208354,402244955,730435532,959581419,996373017,667014808,657901092,190731110,711577958,232526504,333247853,176727046,10180409,724262278,502265987,329312512,18124509,282124519,630989209,453709216,177263908,413111933,289384921,970880912,182489879,339211025,146656008,959513366,629064580,352030355,414154639,496749821,627145848,223333156,821016984,781966258,261044075,497500688,16667341,824170953,597569546,521679983,400713508,542701004,357782139,465914297,927778533,753680607,257000935,626393737,965286183,920432992,252504013,313553372,107790045,418907980,510190789,891476421,769614677,553500633,199432169,197001773,365693610,457245626,366300036,592104168,130404670,417948251,603475688,752343881,323385396,758556261,220260721,43169261,846445454,217129972,639523751,249537432,842533304,715835564,368029558,966763665,196600356,808554525,630966134,964575832,175975053,198385658,691905999,82557518,650962536,371470137,733322132,212450549,598348818,277425049,625018232,488610139,806632339,112046032,490099843,668142910,8007771,926932865,137644597,927858069,967603834,808921704,447448488,553292832,75358558,863777398,386448049,54718169,18590876,984857428,6637357,849668307,966842061,298091282,405675764,215956096,302894366,373660859,427050783,994494367,123461746,34863209,320582400,228039657,227350705,66932536,927138285,960435012,777500193,841763461,958742419,834611620,597628234,310277554,549557507,286537570,168324710,382027750,480056019,474276066,964016314,662968498,466477437,302044787,385988225,283093622,134174236,901225469,533357237,66107851,932033817,918427370,682193199,303783850,536505584,378436218,884577741,928760840,756449245,868856148,146924578,347061919,43368932,759003892,254700498,525319813,167652958,576862186,568230661,808175752,681090647,517335221,115744491,360093158,195548411,138863758,255320134,140781891,3355627,539127692,477485984,279642756,212827439,32411215,375957696,168360979,827721473,765078939,519684530,594643045,608411770,145571995,624288942,623497818,686964868,865361812,368261800,281062241,676833381,748659474,63013760,888319126,273041799,587057113,890313461,436125113,334011451,976651848,641666783,166676911,68324818,912419925,885991185,179084112,152067355,967964379,665223433,99675017,940652080,857890798,241337956,631334966,554356411,798617746,462884304,810305103,865743755,918301077,459666900,390159346,861328577,156938956,924210844,563610348,675733506,780882061,254902242,351884033,218470579,979702960,918168918,320142815,510354946,569524481,831895169,219892530,955291933,963487946,593756316,751803878,235933334,137372912,701414471,350178797,840331820,292255250,778437193,855730466,949950907,974426110,638057666,682528141,173960658,974426050,130942661,3680728,781900206,791752262,570788434,571937500,576024615,403075295,325671507,190549184,51834131,118931851,777112959,161141967,431933896,742318868,966554051,778590512,595387941,278276709,369364210,374910175,732931033,201132020,816154433,78344512,171281219,451949233,95938798,254429112,495235180,512190917,788661771,834973721,769191113,555989504,634697822,324023915,54262728,308268164,963956317,211215494,965265015,402168919,942494763,878356628,665355169,433200613,593116082,236650719,610998783,898596515,820072024,236299123,32817204,411369606,660294239,735398255,828308462,132688742,860263456,541041009,643348793,814442662,57362740,11329437,926012197,663274395,365912189,533682378,86778572,135840991,804220326,84048633,567340831,192877861,878162670,447153359,869405959,816583136,837220686,181511185,527501805,416855095,802090772,415264997,206304779,782998589,710677099,223001194,821648496,270480589,539379758,488220563,663598987,631501906,255877717,782518756,582356745,885145815,564724824,621925157,981798228,91670940,537759214,197313470,712428637,623713602,95145503,444888862,196619380,325269265,937493096,115028125,690774810,239349383,30821591,409016739,331354324,890720411,165657003,27230839,518787189,159291152,981547325,478229440,438859980,892943203,515654505,963680492,813241553,640581525,300261270,710772181,681939296,420590285,773339736,793648975,708778116,163098082,17549131,858269909,679839283,689574744,41315473,985524857,431721804,643009839,653751640,366601259,852967765,922073647,674259799,761557594,479497336,503459487,774387232,521490491,343946280,144326602,686613915,47523945,873439231,728096341,579807018,324650987,604209431,579272279,658101437,206619557,520861690,665576216,753652646,106162474,972830054,380650122,743904305,595929529,832318608,371421576,921277200,255115094,669431855,509724319,780262251,725484202,383474789,633449601,817609842,640875929,90479798,479683021,309961059,185939515,26995084,123719640,59608052,891831668,18880936,744592664,118473497,778359442,401075572,991940936,310032576,85186445,203045131,10216235,510378255,648314933,22414366,331306899,947770658,566069733,821178108,192355461,278916308,868222120,432043350,927694790,850676265,960083044,877113679,231687443,245894775,161437782,11446780,527937160,489252326,425075925,779636025,449832115,850345230,110959884,45759193,396290457,739906746,387216725,96740726,412704644,613663447,233554198,451393215,333180277,749381727,420429054,804005615,365635367,828701495,897281833,332289135,342352660,924863360,800029429,405197566,852267221,15553068,739412884,759207705,225942784,769765320,352884218,727240571,673028344,836647418,997907022,53270279,615012218,324285014,188148567,39755019,541480765,135301229,296236929,538053163,43120328,887568298,558802393,703220411,14714989,600393119,786489169,385593632,485970884,612301041,762741371,345742264,965666631,689308706,620567942,305606042,970182378,449966262,240799549,890693131,776850910,282786544,837092811,613365693,108641867,501198772,136167331,675371821,414487787,837312155,707109856,57098028,9117878,197390236,42677803,961767030,594580270,268121797,126723520,85771910,341853516,965550367,229817214,417947403,500697139,3127973,992123677,800478457,296325601,518773894,326517120,145740299,459029650,267194016,809465484,261813774,803872925,127767352,913436581,947878354,143743839,842286471,343116392,952213924,338774779,192237450,376995044,750862309,490022394,170341363,904319579,949974926,167656208,645638757,417204586,498857434,906498546,111267020,454841716,887414828,399669462,14472622,433560446,4800517,251755819,957993788,855591153,212887191,150335458,222265015,415296976,561171222,291313304,734067320,304959534,792179445,433750803,505166871,269487290,262894618,722062083,139053914,377187456,411579969,646970603,63988099,873407461,757701349,971073433,370404265,51898932,170839042,820177162,859478686,600060624,88073697,739885325,580288788,501248824,247700339,219505966,176127525,663257382,161345183,576755242,997958465,994292983,40527858,458203678,142412968,874483351,572490801,708171165,480409401,573943067,898066525,940516554,258849525,79768068,653383275,260585182,376002286,612802742,665570956,989654522,824911074,810038468,645987213,62252684,875075297,920638117,803817341,926587326,399611854,378455057,46132028,732529522,305644483,543588468,978831166,396146979,868783688,671001188,593845997,682412411,427829909,643698429,165816640,718503498,704548770,937509236,633600719,938362565,20962985,385649936,820187364,990047237,834243732,831265717,741746258,642309471,639253120,350268078,522002454,731680013,887979839,248308010,498261779,964439456,135903059,904136862,172702366,407105093,124190940,170891629,510560155,940887897,660722101,922946116,928230895,171193876,40525908,900880200,322980942,638140230,965109389,874455640,804546654,461173153,658915494,990231425,552623684,589927703,104317791,837392234,801606919,275880666,896884885,762720947,362319725,509621094,265427423,295814863,470904878,714843908,331291711,119378391,569770270,672690372,854571984,6930962,704917879,501308132,150619647,397515277,926500799,571360012,289862974,340696179,389260147,94876185,972722124,968801650,512124642,974316414,326990167,333508455,171899811,71722612,399245390,257237170,550216708,166929968,659861227,388873521,7574921,817880396,654219701,818979811,970859529,594887552,693413423,383185351,649108248,433320235,67318238,755626199,544734524,902970712,236756220,402372078,144333028,371301172,613373423,892504393,801666364,182775731,119064113,763555806,952994622,798178999,660123158,250165799,585344343,872499825,999060507,423062459,317882325,543399080,59442142,519706369,630732065,742995184,754971468,625677186,316509102,421355817,154805335,651052733,67636401,483352400,498687117,777681639,586993828,113254447,892925419,556152862,890165736,520703448,723470494,502966289,158973500,665720295,324304134,673096381,956537903,850361396,529352931,68430996,76060786,814053882,481355148,884143525,224951044,71575982,406687634,158209218,226719703,691048661,474018696,852600965,532151719,581367915,681135648,409625739,252464427,242025498,440473532,995215672,74304806,652648017,355491018,202256371,796190630,34513888,205112298,884379361,516820783,54669368,937038661,535744418,83012962,243649573,235547908,346534450,841621802,573781413,636037209,410395845,402071241,363368652,856680971,132186158,278627411,121882250,767962092,240267525,602007691,647082928,16748044,773377708,655518175,800191948,210916821,266303998,902594749,536426446,759124394,528311637,950374430,229060681,507075345,394113195,679179716,473759977,204073467,762006714,91939445,282786337,353467175,624217837,435593747,790162978,923401492,240430545,531845469,750853653,792449081,171708216,64959730,440301816,124966473,814853072,601552376,706270755,605835611,69151234,95449075,326075238,508418557,495003661,60411780,944637723,964802212,789043752,351186360,179203322,366785206,151202005,529457183,106006515,369173395,131754091,841721451,705027357,705610894,51932186,906589056,996806869,691096145,855335882,551578511,398322750,538652645,521800701,807284618,9473955,587426959,765372820,316041618,509010011,765008154,637695696,333506864,225595067,996669693,923414023,693195988,437749955,21223914,530850116,563713282,193670253,435899585,117131283,670997449,258272182,329835087,746735328,433308169,547506901,16507599,906340384,433715339,954583768,973927563,223632896,538169183,152618538,233327644,501790442,274042557,738589732,641856025,61275691,359820368,79881906,264852298,866861811,698393031,891121882,375257927,71603060,375498828,674065880,248667492,591690644,987037568,860867619,591458687,75745686,311555871,974115710,284735483,72289402,868887207,334921290,645731832,250228829,258864393,424041194,613870378,608907524,883559915,64645989,35852669,224715684,681674326,497460600,230633221,838628204,559890034,544845073,499553112,407784937,61516738,251250268,851089621,798379387,462192239,211371140,944817496,833657135,923595266,920237252,648236942,888258575,582578257,24554175,71765556,854572402,367164957,780438302,243338929,139460243,882815349,525178900,13212357,62357480,938576035,164207670,938176243,861339046,730695535,122741174,19199668,995278601,116982254,360967510,371654701,804072300,545377003,562947735,453060501,818791051,957116304,386520358,525223270,814380764,167954065,402506840,169559538,287576956,338543678,753668107,640640382,128110665,260277174,625845840,320070580,344580130,30059073,698790824,819551520,476046245,581502179,144260516,199657619,931999680,244616813,692982318,297691257,55778874,515023732,286819419,186762386,426284061,797835817,828835999,61275512,260220870,26019778,193334276,352876054,37465669,128867722,224095476,575347488,120708878,381987737,613085063,93434485,98806168,390682050,20641518,608602520,380060713,911366398,289159427,897086030,273868219,318976501,155916481,683586629,450950520,61507971,442208973,41896123,662992686,68024608,9146796,851996758,982371110,14351093,425840877,45261906,519502388,497018167,208741213,51582483,722481391,263391514,160126229,831636947,178511717,527956136,852389889,231997792,981179597,669256815,901874374,184997389,141360946,797994333,537387314,399748672,995335056,659323824,979119413,769669380,81636731,337603155,837990697,988464949,100711904,939143858,943682457,716681431,972646704,145893729,573573411,292712043,548356851,249812066,861308885,127288583,587553940,420004777,582832936,34668385,496989116,516319137,368057363,806013465,521333093,818490427,157021662,851633376,837298065,607834863,954878331,885610307,913721839,837303318,760747588,59341387,382289215,711530673,406873621,420813265,665740550,677370913,422326752,648600304,233780428,458690253,327134172,459998990,443077449,559522983,884005420,900499342,792390682,928977931,999640607,165364968,346274691,285425388,667786913,83354706,916637524,754438708,756190130,417057738,490796456,643431908,179746787,147350850,588325909,603595610,573040056,774788865,919310445,243661083,791195574,105948787,840322859,614425714,142496740,207383251,134688139,460713073,40161181,160492821,687252205,983906764,604441736,878866742,139302410,590115682,747586754,820272123,292046902,655449154,236380682,958171329,511186646,751673063,129707770,112959947,34133681,403886652,182755083,933093911,523553878,92341063,366202319,446744952,244216109,164822363,229134110,183955064,932356814,288967448,662286217,815197887,705079582,896458201,141214707,673608353,704373355,558596024,342999057,820802995,288115374,324430790,860700036,695891226,426529412,15074735,164634624,587041625,776225742,471022279,745839236,981995050,772911100,6517183,607111356,585542854,812969548,918468428,533146941,603112979,96618682,860978800,875728393,864903378,732189925,63253060,232473509,204045808,944899811,635869866,242093459,482215936,237373925,81747981,845764046,452006143,428844609,974599461,25210292,519976777,883511797,959066663,135127754,44953230,802206243,694079055,775620984,260411207,879925733,930797492,536490396,545262951,153489140,102675311,303184317,49732346,846830842,652308367,445135204,29173843,907558186,266647263,959801368,182740900,598651304,563665788,805132695,396254361,881957752,247418345,123536641,270170093,118761487,641777545,908889640,413935293,649795179,908301166,110384506,983431747,88646001,23614606,356422024,545478894,844295063,787357962,319705864,818388187,775806008,387502033,809556221,823402615,872740607,265759102,984851792,523598928,552288213,761844285,542165323,383373802,90265658,454803279,218974847,947340731,47595343,974948758,808705530,590189370,16044126,803789662,863080470,230785862,725030443,211172950,378622358,75201463,571299534,343959417,12458275,17461928,461347535,96752543,184087840,837631442,922657290,23914372,308787395,817812888,796988251,828982230,788774067,145922823,748144796,31722420,978153541,703883730,201442618,995441004,133307168,29299268,925468629,573331215,194554362,276237215,5331475,137273581,414117114,486589381,549497388,312915281,531479198,894776148,239933166,603377714,405601885,623728281,334370212,47269450,418762275,719711934,346710009,812891758,608348112,107712361,881223271,918535620,376366986,379989253,548264522,656015370,400019032,796166579,477178431,408333136,569799737,779092676,705285158,868627191,56448683,591095524,879859368,690381258,973877706,225479496,697704665,752637380,508416197,301315146,934404738,892909462,300873405,958968097,318483217,158952553,15657124,240452923,795663263,123537597,376542338,990934333,429535162,937496806,658455862,495991173,236903023,182138149,40611345,255176346,268350763,367637839,877059128,447738260,900919286,743796030,336422502,478383906,9816114,350453674,303130403,369753971,500701621,624363370,962813474,931766866,455626043,279923726,90942495,498308625,949235931,861148008,113271668,936390947,959256104,81152383,597065423,713698587,922937996,203065046,816626482,890732369,210853719,809311754,988856620,97548080,505149780,847145268,619479021,963031661,866122104,549543562,956201273,810867958,259637664,162797287,976602300,135987752,385086066,527908318,399889432,428832979,955342589,146754868,913141719,373545825,620705621,998408405,419657690,207634565,417751595,874822290,702682289,551118143,642648365,843183184,45387985,850288161,248224341,887999920,374169120,848448480,515827964,435283358,150592661,426093659,645533438,849968471,145768982,900174400,460750274,288532027,167301535,138946216,606590551,60801000,551986166,441916118,566033850,86215233,6445526,552309808,388167880,755509496,250371316,504131602,777554820,51575130,518565300,256175871,46924114,152510771,49226509,785781152,467148285,923443492,97601917,42984097,193993455,230744252,835867326,160338666,662374779,335528122,773022958,157397307,391348650,682289606,731179123,916216292,9484551,155076848,152631717,290953485,439559259,349899713,548099413,367194243,77920839,436072474,82264043,475307504,570814209,544018533,933030607,889607341,662432446,80929264,816073035,274529858,521776000,600819459,991951287,539739627,239228828,574429987,357592554,885757690,149365611,174880517,787834086,536418053,737965665,791477844,971155716,771594531,240711157,729172316,497019047,989407143,971282585,510567662,628182580,142003534,215032880,434638202,446845940,31138963,603873675,66146380,95499896,744572773,721534263,308323933,662972527,136269107,388783054,104569918,839524051,907653243,600020884,862541721,590599358,91511545,405913024,396061738,66168487,596223699,554678424,458611316,362403682,850265886,467663210,694535840,62207080,375384240,804693898,770211511,911608875,243961456,78410278,358778223,225509058,650314367,880852567,867724692,604381471,610352103,261731435,608079215,893562093,37565996,563510910,939837714,988315062,78005146,677503721,29719927,214570148,484475619,936714362,51338661,624569961,367826594,181125765,505918631,806158105,642017093,744104480,269775488,860172452,80842168,233255196,350548024,492010950,939676579,64458685,956858495,484766956,397939091,192748820,395312532,21197199,128161443,730581329,952150375,201670853,83308639,196634839,375919963,800707170,781780257,823343747,522904943,424913835,59344486,917959064,667608688,966242876,236382204,410320911,499503331,956957206,646126345,724174493,729864778,520498316,496658578,792248697,854884956,528833893,410515730,75601560,101892351,461851802,444409508,223914693,608818727,735190743,691144323,909650044,226554431,155578086,820990307,732816182,574751190,203815486,296860145,262626466,176659134,929414341,504895267,529864002,220186464,521409615,724796178,86600674,496316163,840817344,7501278,837669075,985167443,164575470,72101795,83829206,469843777,672060839,93050435,832905072,618941095,691756125,431431003,973262256,689859886,127951482,472532793,961145326,217595911,428196914,560021241,858514033,824943010,904045119,402392115,647892804,168616521,414407257,641198895,516120939,508782054,38169324,2282850,18586565,405918365,249762990,690109167,212979142,430455415,730401489,264720777,961702435,62493118,653544339,857486652,45021247,415968930,966602309,304563776,832671808,969970729,248597259,62274505,802965310,535440916,767251575,898576137,875976288,789486196,699868753,201391171,72211437,447081022,837938631,915315130,615579428,284761557,667743056,617911618,121322331,627789796,378607091,78819566,860651293,607609515,76717090,843949774,382179113,123256883,806808661,176765770,268268285,824219900,28539558,423039125,826948376,250588129,250800611,839614253,172466989,622890385,432201480,208443434,976813821,874521396,431939454,138807788,116917263,71465593,927177425,598897172,1709462,134111862,492411615,722524731,591799471,649089409,70196528,392992952,566093712,282599348,270431385,799168849,70338882,283747375,756431565,794008162,196641128,974796693,526808165,872767742,335392724,749386486,489152078,429493777,865348061,164614889,163236818,269580463,702864204,663365614,79374258,152018394,885441872,961657917,392380888,228938363,109646974,537854819,249756152,117340232,592622604,143236157,396813664,911803591,619966231,544925703,406459285,456503416,97640851,552376968,515108972,72531436,894101302,711785260,346785716,667692416,895274495,967714982,913452629,351293404,568595338,14245729,605525224,817301017,223724282,668494018,373068946,512943399,881558684,200108455,828728729,808671015,538249867,377302086,90579142,75849605,697831390,27084027,207824870,804450427,278703640,643267166,375300705,224857742,198506987,214682551,48761807,745862469,402239956,687334659,575950247,730101920,579515959,981182131,338638716,560856917,46633298,10690791,165875041,45796935,971972506,45065100,87578479,663374284,163681429,682357081,481248704,930273256,181957240,788300574,223070017,847216328,107635730,685727707,151178505,507049609,383889963,40023228,996816032,509741872,14115847,723062844,264100379,296588253,68980736,15385712,90981557,25143707,413701365,531244170,586090424,346268998,611388522,81095689,343569350,548336024,557962984,333296082,507110664,64774327,159075420,28321383,782344507,203688878,58371119,564110362,900451899,426557314,19822369,167748377,987732437,575764410,406318239,653294409,665955118,554522684,159348447,837380891,171201590,247364582,641383340,304813270,75118424,214577476,619924602,360076570,359846465,121606488,444735646,926309417,745335195,323960439,361198042,991925323,556958627,242915238,31596263,838311174,950154603,494863222,207590688,296701470,959392941,275981651,102534808,838179576,251383703,602245989,458464376,714183929,855809354,131367815,30998289,96736427,251535086,300787687,562815254,229074777,505730937,782759665,928535749,865539925,335441926,266981344,397520538,63031943,889784797,64863952,970981522,498160722,951945431,78521889,530551612,197490965,885295,459403591,774776292,695271799,964868216,617474258,788132154,594019538,779960764,640033534,839126142,329602732,599146784,100001430,374024420,666350935,443308813,375842942,831730331,962112046,732410117,166771301,522999415,381587655,428996210,713271658,481031579,451831695,566570241,332122325,89932323,462068757,333523170,176680743,215264392,873508203,523245504,621309678,391191762,459323496,633106831,25104680,930558052,87886622,251630726,945848058,832710854,75021570,588492176,910864480,489651731,872239799,393134255,73851295,483278459,623412685,665970618,906172616,618340723,959644371,349028573,454240721,700924056,630565112,970768050,396645088,850710448,174351519,22501931,572141979,458440688,890213751,867634900,508113257,994571096,631377261,693091753,519527198,322544272,927659660,476743132,379583920,459462450,177492298,558976360,994107857,489224340,150829351,53527762,637520943,944076542,308012624,205693031,354348429,615139999,406830855,69620400,159478446,240172044,766125364,280003971,904063705,757968916,325223380,33270092,667178987,777484406,140240865,403617518,467020657,424230387,608839231,9999534,966505850,667035798,812879882,140122602,727218504,275826576,91930415,659644388,222387613,104649326,633683778,250055314,92082319,680397896,225830032,610976207,862263613,249349791,192870435,744740398,296808190,190019030,391478679,629189499,297663965,619248346,340278600,689370749,806864057,766408980,47653494,745385445,462080799,681332164,713754247,456837407,368629709,115270735,502383869,408010657,461299316,144410168,414177529,227499952,825537471,182489226,38652724,182129796,571753330,71322038,260543706,802113946,363166673,879557250,736852393,287759177,876136245,112206346,175624476,438349878,238300653,546370687,281679260,433318855,514496110,74260745,371732741,921536200,501400003,882234981,238065963,893916423,644331215,893843204,207216870,31390715,459894111,715880228,401021161,296067737,653142445,746432399,497767389,583953400,915869743,166993547,59527503,973031978,668905713,373235937,960521336,345548837,82896564,620000234,798158927,199586094,784528988,143253903,344391963,438733875,705023834,492217490,273424259,67979183,721041820,488779193,476024373,256420469,393086715,975785022,844765083,712069481,371384848,885012191,326603804,631719382,122276312,23676002,449615410,943241127,783595435,264155424,752199756,929779718,793646891,898145153,378126969,174052281,967599680,499306095,724592272,593255613,47588133,290378367,80872648,976400915,409852479,67992532,179375748,930906108,704934140,905770088,82809776,993812612,69438726,59721079,898729108,790201280,228307218,238076460,576205268,8394152,50735319,724979183,813597847,39021255,255269817,387015767,502177797,522877337,822060945,435773160,677063779,88761571,698027986,205937150,58578813,960293741,224694252,481375727,822694588,846431930,691398141,385445692,290628381,217417572,400317471,204987283,197123434,369504332,713151480,982392520,174184598,357800646,713830313,488345111,536724899,406111670,799973966,810700746,274304459,631559971,146226204,690883732,244410549,65277055,969225359,206011929,147662570,268262442,346959438,193756626,550527814,822849115,554987594,75060627,775701799,797075437,232648646,437377424,520099277,477666854,839197092,34802194,860681417,454945322,362632720,91482570,1346922,230788303,962708553,94826266,178768561,363537655,998534124,584344726,535135863,670328769,109504196,549790291,841969102,238469495,362039526,780348620,890266470,501505057,965195944,752198845,180614411,574975433,746075606,838581197,661428653,364046394,538756117,210331601,755004784,321270807,384127763,736887061,88242547,192784353,430027013,980545983,368942660,98004844,451059443,443214260,324764340,554954027,800031013,272353360,583846982,905706919,30602417,283464928,753764772,746138474,2191642,67545728,848236481,503884392,491252659,498786394,789596057,628477469,163471314,442873264,307597734,70001787,644028896,730818008,950990853,171129838,482480395,874755720,466720297,509692500,836339382,191861692,77020410,546115169,80315951,965807248,884973698,203167631,796663249,443378538,187486233,387990852,595792361,208850689,444559175,958699608,754269044,732852513,973232506,860290736,671221142,989265016,878355562,827162688,340117897,197360870,618095799,935776650,155095604,203001100,183878588,315034924,964959547,480245096,604293435,806387861,680113527,947373600,277446092,459596193,992782556,699619610,922289465,500660938,886288531,395470365,944864205,693382212,367397318,562985924,629255011,985303952,940575301,113364924,546787969,368299777,406945092,62718219,14406436,815741220,61695158,504669574,786138553,1505647,588767777,536290328,203271294,407160654,388306208,292458743,364239542,484315709,926551691,544939608,58680798,993187662,27953206,570945027,598558536,972392653,295803400,616576074,220310493,517732420,937507723,934923397,764150042,155552516,489106806,617535652,504792994,78663147,132087223,298743721,908587608,414771720,556425128,225995156,796280433,372261163,494231249,750619426,705109896,206269958,839427919,468672105,206815370,401090131,367808305,425509903,923355222,882653487,179006901,114165356,712647393,145883642,319219949,815931664,902434750,656683808,495914505,87688213,948455723,25679996,232498264,375699054,793266369,154606436,49882529,36510228,108603841,415908849,840200131,781839055,704231617,584065484,155350489,712825211,913807777,180279795,207314886,171920059,45234788,863285305,306850155,304842231,693330369,949055238,399411886,95996480,706996079,135642416,592804435,865112755,890810142,201049674,374814494,852909287,749306341,165279858,808442665,216373937,220285267,834053723,163550978,128628181,938528097,783198353,357737992,238206282,182328752,406477500,517044214,426846433,16451593,805641889,866456194,746755280,246515645,591142466,637924147,883621225,19431642,33304927,179272394,327130490,894617730,435187300,966004828,347019991,150889733,642312383,494389161,656371015,70736358,624825524,333112664,368305759,414803359,338114362,717715470,770372213,347242697,78539843,990647601,912791511,331908920,436141351,870505515,997020248,738693718,893152670,962811096,479666663,593356483,317868521,604756552,2295575,41260452,2065586,866156248,296479400,618001689,96658089,929014072,50353254,960801390,941542331,356679540,281066668,531919265,953791268,504329724,581815735,371145517,70379160,280547074,330575865,745595141,406849654,759820175,514496312,825134750,716279675,811200868,925096076,746674441,72766959,920637776,713982243,100516965,149019013,639887879,332345688,258462146,329339283,448883052,922781796,786254291,633497995,950502191,716798912,573286347,167515566,191525657,579828663,842977034,813008275,849590517,890029518,422918743,518019748,876193272,152299389,814164966,410192763,108877312,649183551,155663332,894205730,846869777,808999950,548438102,509958761,484971684,756304798,313567992,821134224,992770039,589815962,468269185,936397192,42317305,106009334,192085320,995086078,269727360,556512894,999654650,623696287,131027908,659367209,492772098,905798345,56498260,780504871,174171173,410468795,404922700,247293540,300453819,86771761,241595061,456803544,908913161,820962136,818275509,940242413,195556255,596920206,290841155,720928842,962650351,851120282,747365180,185482393,341983456,957165310,182550305,731238740,90238917,896413833,459819550,62008988,394590462,914973632,654541539,923567249,128358872,373740636,265275454,384030265,181884370,975870815,664041056,588276999,231768290,107343489,473362139,584359827,864059150,586456121,660010961,589952053,90000949,830707668,52242640,514408887,802800368,975665519,733411069,411023843,150701883,506867504,233252214,100543516,699562278,450334811,474520512,50414467,152313370,358058332,576493941,253785507,645675377,390847978,360127208,71701887,506790941,543944044,373291593,249016077,548016718,389787349,863366560,979715452,849053431,569109266,899288899,420529827,225933546,806681591,711736545,25284592,591401132,101182231,242572311,78668254,694486023,15386430,574162294,757340990,502709116,413448135,448798493,684933578,897001011,859244494,855875113,616624432,480500027,722811689,876760576,363217706,297172723,847547283,248044217,662313666,858437893,387371874,921875135,692152414,874764355,332573180,451541474,669732071,512225185,375471257,936461671,245997035,199386951,752318471,689198019,821418668,766269485,702534832,733892321,937537632,202104191,972415937,974327455,114146315,659985501,281339937,24359203,704270742,398030948,587759051,458902853,356199809,856478849,523252160,220406070,30365815,567011699,850472260,825073435,339214730,583536753,608806562,594522500,933528551,303172092,189520814,814054381,113387436,210557480,779263304,811639170,339573645,331105385,215218344,679269381,478353651,350528157,278106535,507490191,654326957,343661653,241930813,727714139,946088077,794034958,208707594,602524511,476419465,956242291,915356158,887223299,625445507,569325623,580242928,838149458,567403944,904006067,998985567,684076456,727913110,715085526,112725420,482427640,788897704,969997923,278065723,506021059,38298957,496113172,503777158,997106999,464128506,571314827,126911763,475763612,477759673,737383355,818641277,727223930,165430750,137948166,945317198,354976160,133375289,590700590,782199799,169494189,299575739,951584377,364982626,444309544,160243111,456789725,607930218,225813748,157773042,76703494,253989042,736351242,472007927,442568329,600563762,92512244,750184612,851256613,236864583,271108420,447281723,62925963,158503424,491292144,652857420,279166726,891017777,373343801,108209094,734119784,498003584,892727251,72506095,488927670,7450717,506825671,769350627,162867061,506181949,42822397,531232870,765410567,834935492,297179229,934792014,706054342,794823780,84978239,466899742,993206581,698004665,330459783,851702784,95164086,729101474,801088659,504423255,826161712,275217587,97551799,326740501,333400229,248217849,883318318,5523328,419177756,701911667,822492098,324613462,269270190,495917377,136806735,324222161,295036684,522843008,554185532,163757284,134964034,650972125,668935378,655882972,886041692,673874056,386776814,573941503,25212222,422331882,561413515,951170085,224115479,400072905,194092773,596921003,427611729,515891008,498974187,641612685,157798273,930114736,456694074,298959773,743308512,960247939,133889093,196134433,469952609,543586914,495069289,671781924,446144350,7140390,378204170,147234912,3291195,630273017,829558408,205668991,546357810,341337177,874969086,112654721,531077799,542684757,40214345,639659725,739409073,746313359,8350195,827020479,778676063,403495582,197375135,11786664,941112542,450008277,774925048,188271075,821885984,885784316,743637794,660905401,971354369,287100135,604637885,296412734,521220971,402828864,51472792,141426236,19613888,806539194,736039840,731564273,143618918,737354059,236491340,77263520,616776772,176546391,381956369,152912501,262594699,412179951,897316581,598328556,20990523,200501225,396829036,486150070,237770707,97376287,679622056,307680806,792633934,128585358,257905839,32307251,581199715,221515029,784885275,714876395,945925756,903250776,317830733,392940838,963765795,487003281,75746729,759494684,822119460,632128897,946501222,210437508,211574125,307487911,91374330,347093493,300869199,629918265,863398506,691727507,556097321,911245289,558657907,831742211,6197548,928754438,394757287,192939002,54011045,462322708,141826995,253602635,676714601,300398342,42660931,314048528,924880066,671947283,365257727,246002610,856836338,601401807,81046531,902273265,580489470,439173088,713176159,544965871,583974630,906840000,334023962,993048428,227500428,82890007,357271232,559050200,500847662,382909240,41555471,482606795,392867781,968094403,614888831,667021159,834537318,475406475,535130731,76173234,897459893,820027663,745923862,197222401,656373933,944473418,682892270,861330419,330917468,805107152,529516787,842157965,758540540,899195004,192866260,298251198,911024998,281642491,366305018,93321393,933652497,187369244,994763065,974563094,286465012,6876626,123240400,899041496,891524093,587219766,510648609,886400812,717605711,832639454,456586840,890305724,374322663,476948864,714521798,806081834,154913863,184507204,565017645,359360942,226227207,943805354,879713891,28300463,844046586,706503012,15031623,602891221,449994011,429292701,899847770,909535767,865536546,622078150,66601641,567722822,828035432,935175598,935782124,325407749,463188457,353894608,749505837,158440462,702923608,420501860,989087570,503460816,271912181,921980537,87500768,227684280,351077163,128327765,836013349,82461624,295456421,386637263,600156233,502322651,645144639,332803155,139250169,724016152,740528942,216488748,298324999,69466573,838604549,119698605,835581445,559518287,77580012,109155046,609068539,679255046,782439433,16960034,914500321,188266170,959524768,375096550,3094361,818577996,88376119,295387788,937771268,241726717,19483933,801713227,38845511,909129618,320998733,947880729,274312683,583042620,327502151,392250695,938063247,433806210,320013106,247561395,304723446,611800364,577060365,518782308,952367951,819385379,203754331,711291907,290605789,749869057,733529888,633003904,594843571,192144646,342115005,412233315,924583709,97759251,432096176,406625474,60904078,950288812,720563991,986529732,27726928,826628963,330110044,680618414,750432866,704987127,349851229,957446793,994106082,964714593,339325676,568810410,185071587,902279601,913974357,494139547,446348148,709195114,953091402,56379663,367959861,281772441,175196907,193158275,591846189,893584006,900705808,703748452,924796691,955182610,886452586,65435036,635566900,28855687,443491459,690061446,556798193,9778386,460625734,646822056,716713751,730066421,477579974,146209395,847190339,176173546,40613475,50420939,551346875,271525429,643454834,986743868,370646383,665033659,924577549,546684285,938981083,624381953,527738628,542018238,2038188,145725045,237290896,997676911,450178420,912688277,118435639,11486528,705900202,202431677,192518381,671602045,524597190,472156307,798191456,191013884,934641081,489337562,383463593,768395147,229903967,631270075,540498309,16900237,929809699,373270149,248241931,748287763,377585869,171386530,720126208,398399552,746424329,780422708,263989991,144150331,345958011,184078779,849716529,276430122,605908393,326539204,130170106,563687452,588859714,674283665,773268553,140985367,442740209,932840764,803692213,776248623,102992327,419190881,323989045,553359913,451617740,599999359,949584992,352146874,8417860,650074816,636395179,768103782,682960839,553435832,98017018,806524428,153285580,876112460,709111592,603725337,82707016,864503674,532395304,763740367,320428443,379729145,206378202,680903181,310883041,445254189,126149027,273461883,790776573,376515829,490534546,318491172,588756105,312761075,842506060,139182834,951966515,79500949,316087467,752278281,351106473,348364212,649911847,858572035,849559195,766230357,961896111,988444396,300011676,612853334,455255122,140179071,619331365,954812054,800697415,514517471,699778998,758837919,55278400,516027398,350535328,781676228,478056366,349769427,915507737,376695263,736494145,149726433,410799331,311719233,336582226,464149486,521637541,192169181,442290372,652236634,479169732,155712251,721111414,680393351,420535896,798964537,514829309,988764062,666186499,853508305,280825326,656624234,907253455,430487118,326331827,545746561,827210170,373350456,880494766,936340106,709879081,671019740,615892470,443164028,123400371,326315738,95200497,627134840,991822544,437718122,592920007,904605167,905083519,726598280,597140825,42194731,232502620,230014486,395654696,673026577,34860748,8399639,487126339,602543803,183266410,486233582,622113033,226354871,513926678,57608157,838319130,70955021,858358992,905682627,353579736,735788126,273412180,793891862,724650768,237352722,220878161,286383119,873889021,448770918,571576457,457064700,808457106,917436360,98816323,6170200,728387901,363854644,252591279,274048961,7956286,637650320,256711099,945972172,579818106,78260003,827183598,478105170,515727903,782298425,683020935,286579514,456793959,241673300,940919299,151633926,479483506,783637880,744563278,194826046,681909654,39401860,871867480,657387639,352880111,58648378,558020170,617722759,318251790,170015800,162945446,572250893,609284472,479951416,334825495,697419076,222518413,396625552,215892174,435841502,979726838,498656066,50438781,402675120,904655923,954618407,995106918,976073668,274170531,452417665,494657303,48000351,623413256,489764874,705184329,54333014,147217316,380916964,982762341,347752784,840431395,512502012,827240979,827374545,988905570,6691096,505607621,851226644,941414337,139757636,189794485,636226035,544814232,838057823,246615043,857037689,429695095,563521819,700350061,314791528,759275308,106136809,863215350,890722174,513201198,169588058,18407361,244698626,849811136,523102482,988046602,937782887,198214237,614732875,630068637,776909733,423614087,954107868,971491122,626364901,782341807,205066338,211662798,79759682,771776143,296281276,54867662,182304810,456507748,875738804,38934346,513924246,67624364,441174614,592597203,887963047,671412907,81132428,371466099,369507194,791536706,405337304,86703244,176293055,999075953,745554972,204186361,893201172,902183545,232118291,783284181,583351046,462807027,880136338,397240388,429481088,935167180,94816457,835991466,140864722,480726275,578198429,856901163,610851517,525053793,56521769,819030192,953111395,380870582,979283515,451835306,177019966,106203176,40984474,458810736,35062861,94798699,410892526,757973576,760225808,144301397,438487129,458087910,617841306,53862063,881474555,648725032,625850869,106846793,59103321,130287170,55858190,106256979,467609062,733529465,921660093,42651837,287224135,331009045,739351487,59263952,997062136,25975033,185527666,792017077,891541964,20833729,813291921,652900308,212233283,154043146,364259532,839047024,470259066,944742692,41438365,431113069,571174040,442001780,573198268,878497441,132693610,902642512,23692264,852735461,643391819,665958762,221963136,749511817,579518106,5509355,630358796,910782109,113100991,192061930,597184570,716798456,574838673,76997997,479259004,234621367,931318381,608674963,29866866,975279414,502991113,434655698,407023589,411870282,624474665,274221751,99950408,262106537,716845021,337077676,609345062,519122507,304289114,719951465,176110,954987274,815425092,71039173,710080504,81802667,591535768,229776424,753255660,366725518,165047097,551944877,80392950,640999654,841446938,272892163,438868922,559793645,171495704,60344413,243984976,764656231,158874348,895875300,270565635,304699972,354588864,184701914,893713292,933071872,45850169,525883529,689305900,242554507,57949580,323918702,101033909,627515772,406634322,136135600,527436270,112688027,171304360,393831291,586183317,275121519,263520185,137794446,28125746,620367348,504148197,538271959,175747565,185043089,986833262,312234376,319599038,734318940,351400556,216417579,990681532,112333277,41996147,774213456,300932224,453811385,266081497,61674859,585868369,171763549,673828718,473270348,702710701,637874468,464683132,582244949,806149756,764639168,513696848,338291917,456000069,627643430,298904242,251893994,293059545,954290084,295451152,760257821,72194535,771892440,100458621,168583877,843097152,759290206,725400684,566933715,967502404,176293142,994525645,325106871,783667701,924375833,483334099,290840983,442401896,404387225,470441542,781870448,699909558,856628449,138270830,15404944,265728940,544184140,233968399,444536340,993221223,451426594,503397701,360556046,323610031,298766218,964482359,63537228,869661946,558806744,818817797,915391262,482475944,503546583,390943121,633746812,279591874,924859066,208413322,879899082,317222003,513817540,606889261,799186780,730547604,322327396,431469975,793382208,173561212,786905107,380400206,373707612,880782649,963531696,667116659,190112770,993269622,964146561,767628943,804378147,599274498,303043090,963770167,699452920,407487594,524024414,121796924,209262746,754647745,669101433,579471,513069676,737185823,418631796,695520704,234254946,773037087,559865799,481101916,342912787,283825443,562977445,340069583,155078035,980182810,488659457,202466600,803091352,936976299,297769593,949965738,957792076,298368043,711194837,597086919,95857692,664946225,271093470,34373913,328645400,563232451,548159833,370578326,341724629,970549012,591472013,847365157,114268571,722927905,502447327,255313162,385122142,927473524,979135073,591906203,39050727,510464489,614585705,622637922,420776640,509461937,161789328,792251179,776709370,567866941,785129893,490536534,921640074,900064689,134379550,564983414,178914109,114331868,994623611,898404498,561919861,576618887,627898067,580860331,20603532,769682024,199635178,575226037,279515065,803439446,424828341,261990628,23433182,733710688,139333207,767734981,433105596,660640752,278130782,109192457,839583446,447875256,998085433,846337512,117751281,617136025,723718152,419778792,955213217,619319990,44924395,816057871,743856842,984688650,417707366,535204575,932319570,499027506,757931450,405807634,198275254,980132060,396039667,773943660,926781176,402287440,629006096,538452985,404137215,136426050,741093962,753989209,257877342,572462575,540950406,344324171,70391687,778181364,955321310,587315315,701178046,840234656,225094713,308147716,838792576,577487562,428502981,653074512,590610055,22598444,21969844,242033708,200611577,913875283,21876486,864542873,466860493,25129619,25861233,497900922,348987843,146526320,542646176,435079770,372207157,417808697,177347109,664264967,731449192,270112119,619416470,501592599,945285293,775436697,64684103,881390905,891804122,292170167,118540739,809761542,342847561,45686286,17746520,222267418,530720762,79757126,253665319,52359476,973757830,343395681,349734517,779132365,633288479,428790068,735405769,936327,233381154,235513417,230466169,729889208,642147090,264047853,357577935,396460793,17007473,905811528,651024950,770437648,31356370,949893395,452004702,607769622,253388505,928791893,483206806,15949365,70764511,337582256,799890148,50790079,800223418,421005375,833478899,602288424,994690921,844945588,727969738,58278989,478667095,377425093,219545894,432428602,999338857,678478121,179889098,623037361,575912807,90750292,523987250,774673273,2931546,399612618,797302772,8047395,421356798,196796557,825496749,591440418,577121907,618773777,363632593,213617612,853018562,180469239,961617719,310023263,742673092,655797100,861038177,797995633,465619274,854917557,123935363,443643673,394051857,90279500,490194570,83428862,430037524,610041888,311163423,520620262,169446134,808117550,632459432,381251382,346320498,161215196,704184307,688824397,514266523,66767622,586999323,306657051,753063585,74564118,993075793,872789450,906304100,218396656,577982969,610374013,702670844,256984048,872185032,208700944,565405050,209770397,111430212,145382655,141132443,952829628,915578955,875330929,674809968,891091669,467382882,402830535,105814930,381274054,84882080,555155219,71716099,81058288,113633678,429414773,643478179,282900296,180887696,101813286,582886359,926302011,127830490,974561999,678979957,675810563,375230659,251575431,800128462,589823166,573359566,708197522,912006365,251823052,490901285,813346737,487054442,588098708,160981422,590826962,167504460,136972197,824608063,475195129,889909517,110895714,160321121,552603184,920553189,125616,137676272,396242954,130709706,531011987,114316378,577851397,885029833,108135122,152740409,739150447,100715168,411667132,402176397,703079243,545106065,978705614,126221092,650389554,313746178,264361702,412538332,34271410,820810110,797295926,180883545,703461511,539699710,458898889,15423689,394876600,756894171,204056690,692078708,42292733,25739014,131211609,674999466,75862537,503311196,357686483,760240237,237647953,535155316,242230925,326263516,754612079,586766296,843895003,651214819,285752803,931658651,191339174,203873908,733326685,872130605,25673318,971861256,555079522,84129738,573747161,355027765,954081720,418893878,833372449,720089116,363921348,925613852,452403950,284839614,602996529,974354701,904221851,218635168,203196222,71410642,196847096,172839711,894622134,709570724,732459572,832165085,943571413,760445692,763530951,217170005,501593706,198934970,224464895,179615431,737325133,652926420,658044632,829284550,407788216,928500387,846501560,832629424,730184349,748959037,993263004,483341165,760577570,766246230,185966985,899426837,430861015,412592063,221554189,592046348,370745595,147080153,429956703,204342011,534758139,477671890,383591193,649229183,803175346,543054612,983774914,755405964,851439346,475030812,960070022,347640738,366119567,81137461,287914088,637020556,696062279,600184316,597550213,307991163,627140047,33844861,741156415,174973638,574924861,502004294,491152708,371933489,438599924,587503204,193675146,867012871,274780783,941157221,449928147,747475818,288524351,90529330,290172614,70302635,82436581,199034166,780273590,637808001,477744689,700640330,972326100,644125193,552632007,96183701,678074581,325174055,945207565,301517157,888945905,81566506,337123444,83307725,604189118,408153267,10114851,892666301,430660969,282910377,645991093,975760701,922491341,563114517,413834577,608867809,702678873,93860474,240074889,287619413,687601022,587446313,190697662,66710624,674239863,23759387,77500791,306766612,409398851,627519898,892641270,346119516,284466612,336799609,782919190,91984401,341136087,668652196,264866524,894091373,910411446,305660546,850604912,368603531,564185476,756115901,581148958,596575932,723098293,810811689,913143023,151599645,854619381,889156821,529687085,198061242,364390766,284844314,996488966,836507816,377375165,487047340,85104984,342239169,531699480,920465303,597966992,890413931,54449645,405975404,344339940,539846152,470593371,982871602,999770783,687080452,333132915,995794614,700662458,657704829,458172140,852366457,892033037,16098443,403744750,153717031,271167945,319392064,978886419,807618453,276595107,210811421,786015306,723887375,473100165,703954414,919750518,559613824,730762418,464465081,172686743,797703304,81655104,24445208,141972075,727565736,346267315,704764241,282371565,566660583,765413571,302560684,855886849,327446857,268072995,848079230,642483112,240138770,63004413,420838215,428052926,689971987,17735377,40056281,542960992,240791257,938461643,875019804,704770908,500797649,847535470,24200970,869316303,164334954,635671329,436468370,292969748,756640174,417497368,945587124,949382707,366282432,613919734,589840291,448881684,800194301,556634614,330028859,401982489,411682499,221062819,919817980,781624956,491813524,503434815,8759396,44031875,20864087,661420038,441518512,370031045,146092060,708630917,526594381,875883167,799549479,649041100,270405497,214632309,512954334,651999541,241597439,981291010,5848525,666523910,123504938,443285828,634468868,436414601,510406000,801551761,531835613,348954373,585619485,521498960,679477350,930221422,799957751,189755282,1457352,415701017,724751331,4222728,397645388,782331041,870241151,716445163,165413954,328116809,940753698,398122521,157281967,841068974,369059355,899260451,600164635,618898110,132983072,652704045,597401296,743971057,378882954,545752642,144543907,779751315,902491077,64784838,361065245,237387461,972159779,981493685,772257605,7872904,173966631,829401986,217882632,185883021,385536532,199384449,77521529,104413257,504844988,9386376,136063584,25580340,800622837,580449079,197138693,810700347,763720982,710241975,415333057,856117621,440012626,114874418,883151394,988916521,803164096,250309293,17129655,347825922,110647442,483309937,637003058,386259388,802673236,83851532,386284368,603113310,287899051,314487419,357672055,132138283,153757680,643352680,620940764,729354284,120444471,317296061,244079872,837361835,328559334,20753296,607766336,275380364,474104964,304815072,554859931,702578849,299080134,359335896,273841164,425700489,391169404,737455720,174690882,348945851,539790326,123939376,91293241,646955702,910041041,546962165,698330961,950246518,491395984,873356226,525474239,363683933,797599340,457775551,655032397,255530066,387557965,331626276,174616901,631235849,301788375,176275910,471394126,804523931,188267973,111549293,762548196,656012815,773597299,925800788,742909561,698169694,284889618,507442591,535598797,986885029,956922608,360737463,181535042,412633748,415334195,996174643,123053682,260358171,581047315,134878294,838183063,302086397,504235848,500593555,286601363,97145024,374340006,644823136,942490885,444650363,975303189,90817293,815477264,624435770,655205631,122735593,974382955,310837117,888064814,865550878,912960868,769355029,291185785,826544564,174428626,304974552,95866444,987313881,820023723,967368714,74762275,926055517,383165581,419141944,977896516,513039177,337388264,170779735,716724714,756025030,408834521,306287555,743885292,426085681,909637787,387178645,280140144,91051996,982026219,483325865,20848431,872255607,840925747,479195087,227339302,179221391,218557659,459990279,582485153,318270090,814083344,162040399,914181390,169539254,727379327,384270613,733185434,506372503,372506400,839079012,502848401,288666702,307741746,308806047,113220437,486000339,359901345,232543336,452962805,775755558,494592194,403968024,299804084,652727332,712368182,401426835,22803499,59321479,828497152,487330172,851301692,749979448,570884023,240776933,680251868,789206582,928290712,524972703,984929998,399739037,105898794,782263936,705272165,744183733,263769041,73042386,305403469,182852066,898637099,403636833,577839025,382244008,700411289,427050689,299408758,57799366,540377616,314427536,335922353,678469802,416008735,238007752,803793488,369580307,233746272,62634076,907724679,149464782,682476550,275541128,530586550,632813157,400233055,733622268,40415373,648246963,526588515,63744929,392975655,471355883,482216171,270893265,259914148,763215609,280441023,354647789,303590337,573200363,514364054,195579685,122440561,273551019,829526533,452504895,122859094,835608487,421139542,69814697,658438382,394112913,944889133,78509925,992671430,691182454,695950249,759893060,405924113,234170727,773956275,162153016,287942660,73294111,566679839,894485073,289269385,289244823,320653827,433078264,919780754,867145535,996622318,707182271,718742226,893027897,236205907,434486781,814512281,224605077,955837111,875209639,190787491,372003612,52574486,942782287,969564442,254820388,916114610,679392192,64306857,765030639,417169671,530084215,343565573,233487673,780160623,507440434,197036761,171241425,863155419,350747029,296274814,476582563,243377294,83771912,84289201,242627975,434498222,180509420,88337802,185962172,617812012,689597309,163826560,879974789,418932665,788363400,649435529,313121009,441247062,804318444,359354768,16826418,173443669,690525261,762296764,701860841,524413693,506157616,198111318,343513656,867236064,427051449,272919536,770516746,956084158,84357991,362770002,543111591,6570065,759336084,83210205,464997011,419204961,655827446,822604194,424985875,500292197,464214774,668355495,191803752,26604015,130184027,989627202,811824158,715379195,314529946,467392798,719861441,781605620,866657347,911687487,204736972,442675495,688044889,39555227,885934716,891401652,538033089,74522073,458231477,553377229,863054851,857388030,571332261,747981575,758683549,519140828,154459506,194488988,301982461,604978022,868006553,724188988,164119254,195299280,626396112,670359125,716573762,817495378,723227450,294748272,539658078,432647463,850138223,281278771,467448083,276647092,829422390,774123976,107540797,450361185,654203837,921742552,837815216,645729845,567468688,327854146,991014820,278670012,705473149,82490442,307224677,326174317,340256878,388069071,334141078,182695636,549986981,199293461,40613842,901920648,383466863,988407925,830700785,746709104,760238366,93479607,788611170,782637518,294902754,176853359,681818848,292104163,390786442,217312947,727921253,222861294,580816464,264604036,467493624,76113899,424199101,560298496,477306126,605602552,762949075,449547410,504834483,829741001,41108046,997569313,732403339,844256007,699010282,603681822,156479606,743981007,758352726,205084796,975860997,475132554,994227225,571362817,321557828,156850919,418589535,295176407,156253492,530911542,814793153,416053097,974803241,600568189,891672873,540255959,594091194,54205458,702587399,574414878,294014328,198722730,627471403,156221301,382378914,847163951,17890733,792085531,643856183,793920644,910551783,105588522,208099438,595811946,940982753,5536712,497075722,520374060,666516091,792872826,262574794,142495788,259182803,713513118,918485955,894362175,641330324,642854117,212883516,337874956,913610201,519256267,617189990,979845590,63258922,803629268,903376767,741564646,109689142,928663428,26304111,464039784,410381781,458037366,153065117,229454854,573531528,22025851,751323774,172569541,420485529,662898764,97952645,682156554,964219953,164396834,196608774,550941761,939096635,5595671,945819150,601219060,120895320,220433737,582245488,373112511,930899441,796692406,388050432,468529597,581321720,970821313,782364856,504663116,121797561,738682416,692912336,100115111,952427749,971436316,492916765,32770663,732855395,686561832,157073175,589552039,845092955,715461328,612053455,470563790,94230660,609908077,900831433,481053795,681448784,276359455,47099521,528093896,727568067,396437597,877656698,140024573,896926670,88006388,666298201,151838532,2033748,973324745,110800056,556600124,645760244,267441251,422538960,537711253,957675873,349779706,798698292,584433957,156465950,738708536,550165857,873940927,118694024,973012534,256205146,427547417,887471560,341036540,9208558,288934787,333404585,98357914,118442527,727299405,846528301,630314507,98050244,760308536,967371008,317970053,836470719,394194162,662605384,243892023,503884319,134918108,203217364,809675514,66601684,97114772,670707391,851093923,445306183,157007255,137706639,51874766,9809288,836573986,336147778,909833791,522625770,838020734,467934858,377725922,745883066,131239622,757752772,922920780,193307292,517953129,801318804,226474747,269116853,736749125,441583472,712146988,685049199,78119779,164730875,36005626,305438515,526928065,945133075,546176363,943268166,265829440,679987812,967023789,292593413,609171096,502200795,665814214,877986797,589801753,333795858,223793822,235448435,775197237,915495777,723189118,161171842,284458039,756369167,244348660,122961602,77066766,431018476,751710128,93539935,449093294,993242411,257619570,418869751,254725444,825550535,951282500,222153520,627202437,875136225,484941958,606180924,541677836,539919200,144890482,543473800,872283146,672339343,741884423,532207743,205957539,101238918,206822200,206632778,37217643,593170436,930477122,822987279,296056734,883517457,894679798,217587536,418943025,316432521,197388955,910994248,35491135,817526725,616506906,282153566,282280791,149859963,920344477,169520238,392541959,459318395,165725395,489155428,824192995,594134078,621206309,524794560,458113747,816858049,693641553,764559560,9431971,955789856,235586888,409390605,593408282,888938179,199200181,786567341,16168104,518033012,654953780,391266117,73514264,253014739,869306528,10510685,698656125,65052317,145576308,196278790,682487181,771434702,189870854,407975577,560486089,413436509,450397455,460244393,337998650,332755560,168200870,347410448,575146860,346155195,498568497,620525262,654249163,981733908,715020440,161822169,266879256,301822116,963810867,201446273,746620437,608509347,112438487,820848191,342520165,237476236,54951198,821673979,91876169,52474540,156321410,302102009,401354676,865493891,200927574,114156900,885637563,534388200,929428249,136876894,138575823,878638396,662501500,618481625,409405863,405671081,999189126,936786431,870497169,107619032,816050077,940488768,658333857,965928108,919875319,649693911,557885370,505364267,337609574,24054125,427882916,235671981,753538156,96897412,403111963,62648200,307827137,260416097,359700360,353915650,403412080,903996490,190394454,117016851,416552970,555384808,981423960,179648810,900219112,855489246,438029458,304423879,819282344,814153105,806928920,503320427,962934195,714169196,971770969,919932591,901019470,427236479,725070563,886136187,100873028,938076539,378221931,965294338,676286922,179460046,809548938,84116570,571957521,505328100,575991326,938761141,739617991,32116666,339449102,755562453,536477136,428955686,285029089,608820846,601632137,585123334,734265820,275686238,599819255,177423985,570998061,843022682,46197596,751938049,558791334,401257299,732591099,620431785,422106706,940569562,907639482,31918973,684976168,919769499,906832728,629706579,5997595,558421320,354740192,846629863,279217733,904927141,721592106,480642131,864266943,10363155,92889442,888533585,132239001,359963054,936595993,805479966,558933530,171439484,328379250,216351890,262227900,669060313,760898455,216656030,199691858,807478091,829257860,576112661,581201850,847703443,542764930,163633088,886922893,521650120,559782044,896631854,653997783,247697422,441578618,698773048,655025152,89209255,762715264,792242005,461633275,527815311,903630576,647806830,580480762,867917277,248389159,621043481,10280582,15205142,171378898,579730760,808231349,821974455,285993711,829643233,550141721,469875199,282498818,678635126,409538803,608697256,761061975,275920,151529951,835714924,637341464,941908749,932741412,874815790,291156686,823515369,662740572,642989393,234643365,771932630,209507701,95551246,392531924,378897692,963870317,771717701,560572965,539365844,57495080,424541204,1387998,757659636,161022548,135539696,603921405,321438152,518033910,407329945,860449205,548810091,517350564,348160599,939355261,568696443,797090710,86182254,214652160,155388732,530768237,780186328,988131572,240600933,213993042,649001169,74006774,163822237,538446340,172837764,996299010,219609558,513383176,207339863,657566528,821005453,798157684,492787788,35910368,673828729,152397120,809715620,924249074,895451593,497922846,601730919,523493322,981316619,688187212,297344226,313504134,642505665,757240812,246782730,961185890,377787235,972116499,323673564,577160537,691007405,865987875,126391307,43578183,152613914,29904767,196543498,985184084,79718155,387601429,659136098,607955437,623590482,871824502,433540188,289370567,758267797,534176456,469460523,581379132,218856341,6014557,715612596,166356319,207590615,51010290,876276788,360195180,493755702,768620145,526075515,988212109,142726848,497074768,645637277,973752686,812506307,151225277,23675143,633391966,517068035,46441398,485634209,441194298,18800507,861260214,828895960,333128812,994424408,473955171,820017131,432481509,901739721,689324600,842986424,802190135,41447207,59573252,478217273,846052567,761976075,218942333,511105652,142407174,774646236,637614523,567480767,497466427,750729873,540603479,530437559,584988874,660103741,54402571,666039128,816876089,776739440,317934038,740793766,789212107,214733437,687019066,558878137,855190716,939200870,684194903,890025384,116443472,413137034,851155627,470948631,573641262,678761998,241440140,656359724,294333156,830424185,853120203,298105605,939921781,265531098,23261188,589689140,696819440,805351308,810115053,571556129,549052546,131385622,449344866,142678118,54874669,640037201,215237806,687638983,603448636,849615256,686651923,362917935,813083314,696494932,658447348,602576869,117130957,403640422,238515790,388807260,148608790,520525435,593176871,75585276,563471824,935397756,900252782,385952433,273199043,576278613,834030346,761976397,364271165,233910377,649887106,242802337,510365782,567292527,974802654,645992901,918698423,554554102,185921804,875850432,321758812,845410025,173081883,290270340,955087799,915214995,883653151,541719090,465931216,677385356,230394276,691454722,541976669,498909634,969729317,439973921,908645556,502113407,783538314,837494078,309298839,682397433,441549997,657530622,839152811,220499618,139132741,303832054,483475412,421549441,541456843,32556178,384615327,878831984,487451696,475697578,783738654,29882584,849888506,503913852,798176312,460050124,642040796,741899064,368924735,462641121,11618581,924308383,786162408,916427386,450615234,263080252,732241820,817550435,540271628,855309529,368197354,554525522,658529597,42743878,880381714,709207460,820503126,952737217,994504528,631526188,924178415,603978253,907182509,742516580,9029989,273210494,57439265,805701560,460993834,351672013,183726833,112797993,147801124,762554217,683347526,884048629,902257288,973159532,725663790,251232490,579136773,516612720,661113235,244220398,200272805,975925524,495914531,340209729,290956268,320347736,427677733,371315730,706073974,545021887,196056365,474617462,381639767,96958229,805088621,807198576,300812239,712538117,826406837,895589803,797330133,757972312,524591877,683951452,351620379,24965350,962598,870415403,683863210,522549079,647397798,67007187,41352218,186646074,748563677,206726951,523757764,111074272,65517548,100158056,643015822,748193878,633078752,131081096,464316264,191117430,136804573,130986316,971229855,638702394,43887481,427718754,394398226,955302646,387252441,526448692,391872952,732410214,316337474,760952251,645405845,633272948,792546167,264213722,756363182,724187245,885830931,170113188,53479349,588648703,805129454,153508046,828025794,605384453,654857809,49417258,236308173,162955022,304937522,797076919,102322468,443616652,380946515,913833011,969259147,16708547,290635451,489509990,398703227,933914002,841431430,151748760,880897105,405406233,556285632,12267923,970664465,416344822,898070938,353715705,945894982,300153580,694507988,10453644,315942391,437787218,742395886,479478984,527607013,756909401,198530290,866816354,582383588,481742002,684420702,561734360,119140816,77017878,499943245,953742300,351354811,416038421,616083789,435977331,504262974,565992779,885876351,919226024,648769794,71299482,727912800,689154533,398971303,649659910,264870556,938525313,195028568,317334537,129113273,291781852,982764086,260387291,605784385,786185674,389708391,32672301,656037190,632554104,543238401,293213932,439325180,646925131,556078501,5561402,128555892,314305561,723907023,425300405,974612848,583643465,521145312,806009129,749797261,686679576,234855367,982125126,975307757,611932369,300997373,110764665,728474870,52336390,444665417,709248549,446953566,786778156,970383052,186462569,558112723,519416166,166466801,885155827,932109855,51487355,888887016,418734039,169651166,858593753,111622765,58959651,931413005,437758200,629419307,519756640,28621617,589407215,599281480,941776902,680072433,562932108,314507313,816412373,220953021,439274884,921341336,300685323,733382228,909225422,396303245,45839793,632057455,961034942,156697552,719679307,510940913,56766032,934400480,130648860,106124743,505831032,451729348,59126825,545594718,939934495,586970702,214153924,20804755,440685261,17789113,21131656,556073805,126662665,459475290,742884887,378653964,610907683,405210829,40502148,597987047,442510065,815441256,492634522,506692099,775029365,352272950,296706824,92038611,798222032,133573095,454851374,385886384,580962629,701013246,179767459,737054025,146695011,951491595,351042545,659560312,433197950,18767192,653919448,327768093,556803382,851126809,897678750,908969532,113499832,626023122,381399481,501711159,298748806,138231317,817172165,268910549,337474783,296624989,812730139,516760569,290601586,543565835,161895936,908705814,227639620,713047521,750203765,787335531,157002566,6417999,864138854,361351847,299946194,911581860,203452657,30861727,628305270,292723356,857300755,39990453,760661953,330547842,887412036,259801924,42621544,491737166,437507721,507694245,850492602,933645722,337472147,698301554,727056641,902798440,386608475,931874766,318914320,760069997,918031191,966272422,556513246,360225478,857683102,788864254,575263723,741096649,736897155,659118931,903898527,787322936,894071064,647174057,463869941,298373311,400670612,637696221,964245186,566837456,27088404,537852709,188322921,862233868,195870616,411627685,241122315,847372820,623928678,632129777,133254032,987906617,958080238,745293008,673136545,284682397,400816552,510879933,584465553,740802605,412547323,226269308,823725662,838936354,30537476,521849380,266364177,12645448,344034892,545687669,689719921,75123494,307792318,308853401,524695167,565988455,937061022,504034063,410644571,667429533,319315809,996162584,230463138,464376606,692963156,44771726,845711275,725573233,40181327,78763771,274306497,86547752,52399331,345558444,783826968,210412844,568202428,158843826,608005318,997663917,268468142,93842257,441069692,772380500,273343456,115714082,378615492,158841606,334636018,124736971,836744154,441395996,268162148,285477457,225648839,505520480,714189279,467771909,987156303,984940270,465803572,217718522,590166370,236940417,574615618,341130858,905979747,905699524,304792846,627432587,180590247,451837849,54025721,546452878,134763626,127133785,816292396,392450706,601823961,669869849,912759319,297595465,260998469,992091816,809283320,957476781,424430589,225339918,522894387,360698913,961802806,514868961,727904424,689750967,82444652,156602344,245182824,279532925,191484541,21657008,541236305,345173802,532158773,484792280,735202865,916636267,916888952,570403162,836299017,347938925,947077612,971054767,396527853,596142044,191078159,601925918,738903631,195984375,966252007,205656381,801230,641691806,723534631,357542719,745365190,98257773,34336460,997925459,778202911,593251680,763553724,279037279,245900534,308631579,911711768,341547786,676510334,385789837,918896711,177833062,273576076,878904284,659137,262247959,527620050,469609053,515225568,419394002,700231218,307599147,93274196,287039819,628863771,265297540,953684183,572513505,810487710,332868508,818436744,738858700,408624833,509891763,415006155,79222974,299881167,546307136,678885689,883247179,172047658,794565242,279755761,579397063,329339282,609038628,567637238,726457460,826262450,586466331,574326336,485575947,78586381,762731324,866201786,911092087,365654262,915364905,879507056,974697768,435200699,292066445,430776970,442367424,23886550,192206354,463268041,622452650,719562152,693738179,557824113,964036575,825791753,886542257,53229884,988149998,361891653,646343269,100664835,81461975,447083539,288419881,705696647,79217207,542609316,345563502,664120464,3883985,439104768,108706417,481011208,823632994,643666644,649122244,132639301,746735840,420044476,705186385,89440790,550629950,860139332,389790568,371498534,366315200,451746564,753069279,97506919,674656864,48226130,850780428,643955640,293265066,180724502,902569099,706253897,455037993,664299863,840518315,716091614,201841450,629802917,198178038,81322293,33865085,747340193,285637992,117139759,503814148,554278823,658793038,600544411,993681669,150418054,410427823,80786427,766186401,62507504,341063294,249905300,201357604,546432728,386639577,586456774,916411440,996134562,703870039,407293409,399957252,859703390,123306609,865204276,903901318,207589780,519569110,215283195,768862021,707076805,169141721,214623806,395960458,300992670,155181373,826279857,507113183,771992784,189535929,9916586,644240470,149284505,118143064,585174853,105715351,912023848,301105600,352183707,378289793,445575039,500762058,101266553,846822969,655878955,773778827,887026832,565957794,386225898,2331083,701859101,35416175,173186280,410749885,801648957,597437582,265732827,525336491,316989267,895329874,672564930,716821399,634931361,625596251,738557839,778931380,494533644,804108209,366332334,898023129,493158748,412397924,642124934,840278414,253537524,858348810,835644389,54986449,94246971,152215539,7663164,540537794,542203928,956884846,681179506,415704609,940400249,54842343,623978651,563514227,13612854,731019300,566469799,70834831,146360942,694108326,515503915,44376329,352734173,999738545,629625322,923629931,411588392,11917090,10752218,183412159,332040002,610802199,186111417,990191318,580568812,182974997,941114547,415251128,155066410,958675559,374381730,578155119,289445470,774667044,971907319,436340818,947079211,536199987,685193976,874528104,305872803,682594289,154656831,265054863,103804138,469451427,143457579,474774706,540328283,366715792,719638880,816688517,588322811,299052291,203321282,376004399,803899840,854592047,940919246,17572884,340415078,292861903,905200792,513470363,698475580,48540262,258510771,658133119,530961780,948774796,827674122,404162277,599899408,949396266,351910733,762725197,323872672,223625686,526998994,562132608,799229741,204434863,524485484,817868374,465647025,6247875,255761765,300850179,374914190,382009576,428212841,650180164,269480173,304107449,886090329,245491912,167885754,575134235,912916654,811929733,951185954,945641399,648631970,320767003,558761892,15317359,404167296,389063028,522516940,704562206,885210028,57619261,283859795,285301829,235529066,998270992,114142564,188133814,859621854,138128007,986850946,748936945,202000371,476469096,181899344,176779129,385255251,47970810,164643418,617506619,115002505,439962620,938600906,866934835,156319153,234528332,526203453,45291204,463922277,389396289,824332251,329791786,369675826,360790897,35575497,219357774,312988193,392803407,417930237,890064119,393382880,651885356,715113970,538965312,631775057,59428495,545411269,880957865,891209720,810650441,925665767,540594601,326975687,619963617,503339974,38357883,24079497,426246154,183378019,342883939,898000358,131194239,249284990,893893112,404510820,993328312,234102472,67750954,841523619,104884926,218908630,120209741,760630199,226817304,13645098,134882215,772551551,278969047,472286166,250670733,986660304,753546876,190733201,129394933,777423369,645813843,580812170,410426737,948972591,976434012,124370506,456645911,850321238,979636435,695266885,202533350,42884773,308868456,347524352,653738223,220974887,897532349,754795629,424761866,956469914,561139949,316694867,964973308,896418436,720105265,371982458,924839957,527546258,275222901,494648241,302474041,137454014,378735962,927803194,437625025,785726726,461507491,723275773,43068606,190267177,555376908,637621740,965727382,199887494,236955737,422993932,766812134,159378588,375944953,407159445,22991471,265142038,453921242,245686098,41722911,882236545,824552627,387438312,679034344,697476589,105101381,578114181,949267357,201816077,944578484,533484081,465201769,896690611,981105102,971353440,609743020,931656021,289710352,905818837,449674955,355035676,421871456,61224445,303315013,143615232,672924056,235435142,398149415,53245814,422246160,713857394,870241258,331183866,754109162,109105974,148637582,791197291,542076813,460410898,294093918,208172214,717318022,780723940,493027452,176761528,848954727,597029086,253607102,888168655,300230384,357267752,779210006,843552203,283071296,192719520,514757860,65289483,836088077,680455139,565494088,107780077,817880538,708918465,990294312,998873193,404366797,920235729,378887906,323400115,345644993,639797650,741051613,952385960,326073757,105031001,500836356,82200536,650990931,804921412,231794670,249325796,264543292,14388989,278354703,815307437,869223550,432427346,325991754,333466863,37228004,816843977,12945244,494577615,143648789,763966138,19627283,728899617,557780186,54304618,452551707,231223757,967672154,821392482,97920516,56090157,717910228,222022724,211281631,552477333,207377171,937913519,251763729,52366399,673908293,320487489,216727732,396418046,426267969,432640184,2653271,15622630,317012899,573292140,640392901,340158485,646232214,56169021,191771318,623948080,123896681,694340870,527328212,116436312,338670524,680085690,809505663,282525935,166375412,774462809,305690822,926420608,441520060,229045194,974545382,24754030,5224758,129569187,653434184,580338969,235218380,228109433,549146922,815909941,39072646,212108939,305484362,400498410,893478847,77331557,917031080,17861031,437650913,889283705,242212157,126865088,394464363,203959967,996593148,834751994,961652965,690185030,176114979,359647849,372879915,499899610,394971580,271247343,589941048,949344656,388169748,818940472,667545311,668387866,362042505,653052205,571731369,959216509,703264043,967115605,801752219,661219914,788728790,889471410,805579621,711600635,112556637,820730050,6267835,954441351,45071213,82600005,905145879,425438110,711137835,82256155,863965498,218752920,912555617,492663173,871990329,713454536,88988358,221811623,99539997,759327150,841678612,452055332,821650753,535433354,15609773,127046468,795323792,130903729,615621437,927510082,239149592,877156066,908856644,877647273,677671370,815568130,251466715,800103858,46795987,153700688,973586120,715210728,597548553,412893283,516218263,746419285,456012880,22656739,590596557,798004071,414492704,826578212,186170190,651664295,628063901,413073374,231340400,644416003,265576400,219588600,876210301,617295161,768704927,747429840,730354735,698173479,906935605,825792321,331942397,564838587,806409661,859766013,672910281,682938632,602788765,503452415,789778494,810352414,978335243,888112450,335478283,400354949,645815400,164952373,2571968,350598854,59326517,382974582,396895910,801000606,155516904,993368470,239682451,599795583,707112273,108139698,492102311,71724967,364245053,920447503,464759298,742529312,247982024,662700348,977117305,400024210,240620387,233315284,882613941,644081882,264344307,716359201,103765765,854966207,549994102,542455236,315566580,187125059,985853595,166207850,231428570,635652625,616229356,385631727,256990283,942380173,122119949,98623276,320343404,156301386,317567265,398580214,963735281,850082950,332282160,804217200,569292813,603922127,347295105,999538708,945024747,517852971,157597507,688598862,315327193,699111545,574239651,670975359,29988105,854618360,787043605,171045982,929524721,462479791,672556829,129251745,90524612,345799674,239976186,946962485,161690469,357337667,881707641,796067517,260985324,361024691,950541493,327787180,550501995,238705492,244822756,170310991,859732864,847826085,715343470,650399173,904574277,861392497,882643173,988214029,783748386,763013069,605363053,18967937,384405007,574882188,8860347,80499174,345223928,733229358,904778779,120532910,952481426,642332744,966062019,101142106,108559951,778813728,57941180,798431188,474110326,77622833,129451783,563886929,808694598,802643396,806476964,408572770,39717027,102484704,995337279,799901792,3092692,46545971,766147289,45417025,277214187,939866332,374288109,585739201,232432658,885463702,356051247,816457458,233664219,56689412,856920195,205447800,783991597,969668490,261979113,599510116,101943354,517711310,973984718,789923479,454799856,783786584,62397238,941697530,648441467,192004448,301429793,407386075,181495950,264286795,686963820,776017512,476391572,916554106,188686516,202385142,821376867,920477329,427599182,815365673,268371039,323371494,720212651,314083316,996896832,52626469,721845785,693639981,613797579,367528838,741866779,780134562,226559816,633635811,339699753,908718352,160438962,150608957,215533449,557260448,664743480,48018347,814252170,957683678,574116074,158671302,170865757,633424640,512779982,509267255,364359804,989071842,800460097,851606352,112827609,329445167,157827272,359478064,725648047,305209188,396547342,970847299,996871439,76638207,500387434,33923947,287536042,830556757,823159140,996968606,558866830,64311354,707555301,276565626,434796575,769449179,641811708,204163050,119302994,923012622,512515490,866948868,687291924,496262418,975115316,680502282,475707894,784478850,412999801,250774295,850709128,789363108,816112923,658711368,444594349,588539094,860162463,260573369,91711942,604200697,594721932,738875563,100947810,395270511,78631999,75451850,326362590,334525755,764922430,761549662,925457720,247208724,507970946,365156187,265959220,705180584,27795404,181582548,17863210,805091580,138504137,527123307,733404215,331430165,472485462,474389200,10423622,817378233,476341743,401877017,73133871,682221893,62842211,527932421,79071841,248442225,934661340,761555222,394608623,630807701,641475931,332836804,444445179,112287607,244468199,659380189,467249972,708287552,793925919,948948521,743088537,747277728,93305465,38043285,640098260,129103908,55920126,26389492,114563377,476824684,741384233,662101199,239612311,214222064,135253043,525170312,123862203,814575804,582435000,954101234,52701603,486049485,11001233,334563191,872446331,180290544,103391935,47748363,761506310,728338232,165364139,292675948,670813918,221265899,961511229,576788276,590121062,339024118,61541115,909007252,827588583,681543023,68120380,925169984,859583599,697561211,915879384,196153172,671408779,155677789,498069886,367237965,239158505,692983284,255116178,180310209,528558814,464310167,903926430,670102579,864080485,34873848,913485056,134225604,96844918,499895023,639957410,990277178,998384442,953368080,849432453,783512480,532323231,940408639,68213667,578688444,694816398,144828793,795192202,445140350,701620092,595620297,541733034,81504989,458608696,766796389,483215342,126851327,120646329,715464952,441402650,65528015,147509525,699937747,853204687,437275977,280117981,160327337,529470387,25329278,75439052,288183883,302776284,287285621,103419506,349527721,774655525,756453403,307720117,9888220,223962457,822022684,972040796,788025077,498497933,86141063,212829098,114978072,746631830,670947230,743091193,464393998,666483577,376269674,9310072,665288795,387705442,876096417,311315291,822389481,918973584,622972535,160382364,802388142,694974229,461681494,792409633,545547505,271288272,772465586,879279785,583607680,945504156,430245811,128460867,640027682,727619104,938958103,470273780,232700631,139269472,34768139,44757395,770560175,657032322,278088081,799399765,17935408,967352203,481644816,909586473,648534525,700914668,269107792,101417720,484126550,124624771,401205571,501103821,139012402,352480046,375294413,77495817,874225305,238668546,514629284,842691237,864058537,831979388,745611032,778222789,991292334,773838258,622541173,67562755,929105207,354751176,644521248,706940094,914249641,506762456,981360284,868822515,65207406,443820808,343234524,720482144,159224811,215845299,471128011,651344093,158501917,406199307,703452409,282061084,175914983,561326571,343890361,656677094,516764153,414569026,352329876,715584331,517742834,464312039,38607916,243827233,639465228,984083317,759043595,5946183,926814233,725465495,637855659,903287880,686097736,796375449,819815108,604996598,338188859,621069803,586911049,478967110,803668524,767377777,332992652,390361677,101568530,113998580,424136307,821662924,463398704,717063511,925018824,434148133,525590222,424933256,120972523,666072751,459475572,522246252,367641555,791528949,898640422,768184380,436987269,451640885,991405264,489547808,696298834,586537371,884409029,106017153,683460575,34878000,232326793,876280554,744861020,3985791,258290133,556759814,764985232,58506583,44372724,618718367,598223440,685130146,289526212,987049197,616107649,29690263,980815206,649409812,796515012,124602251,491919341,793399028,438929508,42945574,121671526,624872110,132477325,775135746,55092805,504671452,716066845,439281340,742485317,897090697,218382695,562493582,995009326,480414093,644788518,174912391,520439214,759439499,143624332,774605795,759242801,100794661,390240645,393755211,453545887,938964280,509277755,58210391,818115084,680321081,653901968,143580477,423851115,235539669,27850330,679790133,794043704,83640223,249363479,278723681,386093447,742793870,437968782,770533571,970896170,255010090,197469818,255262296,563116183,592601057,440110211,845100221,414546249,301357122,361489770,330736944,907485447,461643609,773648663,240390158,320343361,505216086,623472075,213903487,135576473,40064991,411788655,1840920,141988426,239184305,32171950,877582261,693569957,574812381,747702512,162004029,513801210,281481536,984163443,376646581,716292304,830209373,560190838,60201774,293996917,939046840,595429467,609323560,27889427,687591204,327332319,213290287,968566753,766037849,738180048,346781069,714937594,537035054,49190817,60776400,320484106,671452356,377600580,712151507,905379591,492788347,31573529,119034970,47416382,499986805,997092057,883218518,986707384,20544527,297214768,377905509,605798079,330328375,587761498,855147112,802527385,866188078,603342272,261590046,451189930,920718896,389941613,47978595,930365485,278274609,727367952,362972705,434532496,975139096,819440494,851939091,520902423,740993011,268447267,16572673,92568091,523657350,712628477,343327702,63763484,526644663,609642160,623247421,986505224,44859868,617748735,543155181,290540618,158569856,138097237,983851632,323254860,800180817,265306314,654193962,777340464,525953159,391292030,132562161,158724389,766151825,912593671,596524675,220560875,457076674,136839981,587610652,744121821,610841916,698847196,688641873,908167489,232087827,760766069,692780101,796199665,389839498,122994260,64583394,374287718,474570840,604062880,915040253,101737723,507387950,360394224,698270905,543050867,819159047,203147654,493870317,748913588,599930227,372712669,522948573,720506937,730338447,251188613,571088941,336083838,997563751,350012953,102967365,607677745,772418688,599355590,747049199,147254690,23398461,708085425,39726296,666981245,916182700,554978629,589921092,623043532,701823916,828669212,298697593,430564600,804270238,180549926,339796670,317333108,727816220,658214179,704460522,873274802,573195641,279685352,228609784,284540614,24794261,220871590,318165848,43923040,131765909,790692182,119420782,256259197,176291728,936750992,275777831,586153463,177356492,618480833,496064602,309159897,712958258,220447198,815906771,276485881,201112005,379984956,964653969,436953670,573736887,956698655,515241013,23598280,974957640,396585973,245951847,162885129,119813119,871832009,848877978,770089916,412222790,248759344,260135954,771341080,65770711,202333739,818832646,500934545,865556165,904574689,566045979,723961023,697983691,424231845,522542529,908799095,388926147,422767056,420288606,645543548,529698396,441934947,188390918,814388254,571322036,719072867,532954014,136178789,316508755,107025088,206235333,346187147,721577569,149384247,746371584,366990611,634343881,336777425,806792587,277637295,445753852,749130066,542437897,372775183,588813946,696425666,712930085,401006790,849858720,16741050,159346677,715804592,459654301,652721672,866832161,899987651,994362497,939296900,614055810,518436286,562235685,490644635,425839736,133165913,269527754,538656181,153453535,199257143,904907592,198076157,325513885,233634466,838949124,330433635,401876385,433476665,485457076,815449173,294230227,971868852,881093963,879257292,906308177,16868812,583203212,621878430,919168097,4171572,278484289,76005862,598710051,604738363,467428534,905420374,138571148,648426182,565451868,898042014,900155151,436258856,733440131,647360130,516509261,844041547,964858698,115966133,723782806,203219400,324265305,834193866,3753234,44567009,591958194,40855317,140470340,611674389,547493519,458966953,863530455,957239824,166816802,717833013,695488197,538519075,939638212,46985762,217138490,994426032,573027255,199240003,219521587,491404946,795965051,647739785,593484406,645774475,998861399,316603956,334015970,156199065,277881785,367343564,322759866,536888885,484449998,512859659,449267770,414937317,572548284,932492888,119750936,87402336,460108315,98358516,329787285,872810014,39548256,928455132,669531029,296563472,388158807,497357565,247981374,855784929,124109759,448979424,92063689,818576108,726976171,302380837,587855237,150338427,494610526,676629107,116445892,149880076,941071333,140138890,660891586,692993529,855232946,724205835,228833801,717426666,625756850,725235400,761917260,985087981,832005982,249626997,404386898,766900415,695809069,173072397,238674466,966300197,74778372,586824489,52134791,444683370,68701770,518987833,442179004,489260191,295751636,400186764,436436748,922116400,279199037,37350129,476283466,677019002,840465529,317710899,364679938,609561085,934781644,180927013,478325528,1518195,354925266,157804922,967881002,110404971,978283605,504583276,788884194,352409587,439874432,86108595,894858182,831555984,633262196,361608458,603787844,894401864,67588347,955282098,321232596,831961803,811739214,822291342,235189709,355571521,774167165,110554900,634495756,441048726,683852900,467536908,757820551,450364546,359943670,541292725,616730170,364215171,194950245,905539426,32467052,974753387,173867455,680770155,538710134,336165126,691180968,532497703,851480805,45552032,660243735,262173003,852367623,820411122,247064282,226022657,468945962,957224612,911234628,833445905,583465831,803315496,933144749,63963348,482357191,901245675,142302739,78936835,10282609,949064088,697598818,948059324,447894080,130103384,190515121,357342639,796622031,903531182,263271238,139605615,8975606,370197896,214190428,309856587,739768377,560994496,840530545,450318864,403497898,683678295,500122575,830513135,16906061,792583592,282385304,732124527,790791423,780286521,67811702,424617995,41699355,340241987,549401840,977558284,140092780,664009357,649349092,296244631,980925766,4507653,325119630,579717303,16442617,356659753,678360892,434144571,869330975,739834043,15984418,710733955,965542634,234127305,978021652,791785593,323371510,828211232,239850107,657997213,999955106,233794004,362023631,492544452,92993003,839241655,159559090,630738083,657448605,163147658,612116259,953518362,505609295,240673666,917551,156779495,699301213,557163852,303347976,609314130,799264734,535404560,70436457,104014611,339085468,834223318,152417817,515908724,905142610,157245258,364290395,113683839,602228989,47108946,287901710,260578798,198370257,36941070,786264236,125698838,622882204,918232106,156631231,288060772,337527565,130180166,298889466,15526979,94608468,914744510,554422860,667677542,964945962,794759785,913242365,148174576,705412895,7469369,349004594,503101429,673630858,271386839,66634622,760954883,831793829,399926876,120005257,41584947,550115943,780432201,509670095,682938837,276156646,123189029,722304837,258990834,367334992,7809574,769182511,802162627,835323110,963319302,9536898,963191189,934708460,66366999,674289951,43334554,331249112,791847234,882819144,407526595,709617560,682465646,61906845,533053742,645217138,940058194,701580798,116861062,931802628,548177941,512037742,447740029,23120555,656664651,503212915,80708922,594503441,753650372,892828694,78637642,690532243,315608658,852051723,790981844,251796526,44015398,936785177,737818343,142810275,599858505,173834924,865953771,22860977,743030618,846066600,205241179,486878240,765925414,177020716,97769569,388644524,172022383,405411417,172779253,314674339,988150960,95342994,601863105,813551331,563602503,313915571,971067927,964474094,703291048,249803535,471813462,766968689,189545469,577903652,792433140,571398208,757398464,230016505,181228708,336750987,383514763,975664416,731319303,361210060,623363688,816329962,312049955,764936676,440212440,798866617,876280366,589528732,49259251,599395189,388823444,84937098,331574513,763715993,341547656,226998564,636359056,245482826,567673362,406168126,611268057,707476641,152751992,799798111,153745931,47931840,665262714,297991184,451203387,25739880,967458497,441282375,817078939,176602863,61032732,966123974,643193415,473346963,663064272,269356877,16264986,712721472,189423555,741395021,345536170,556341549,213250633,168887751,625915700,531098881,597953140,396592901,114263738,17603131,125718555,823387910,879650370,773644914,301485393,9255607,267844422,924540687,758964745,136745738,460960341,280907009,364725039,550542214,300625915,614786911,21864651,141138137,199889826,327036908,946316711,602837947,612045339,894883655,430681861,961056738,176838223,813208160,568948954,555118245,367823104,816901031,151750003,432291188,996760941,876712217,170167389,305787121,484379667,31203598,389197464,834246950,635627380,883768169,176287609,960208862,836850880,802307066,318798308,765181229,694087892,727581990,436205868,716519107,811919628,211009811,994395838,940320236,900061348,226062442,135144726,481425955,500770664,797581090,624060705,728925509,293753323,530564638,460259890,247801027,468449272,94555702,670051292,394570720,627483323,926972208,537153924,167938980,356381102,43020379,212787393,509625299,88004907,684819221,125995679,389294933,659084922,863185842,311081699,355530842,571398790,939225259,102835229,342198592,211798715,963926783,486126396,657612504,974424231,891219130,132450478,891889762,229254918,401064160,927342323,626089605,33672693,122795846,123017501,227343229,746153554,14691446,614721354,629619102,73736575,746881672,540698963,240739736,361740480,130496714,896380772,405951301,497450401,733900756,916069404,607541405,135190654,955258701,988310199,304200761,561922221,954205796,14589448,193982789,316678428,817157497,113149294,785778732,63006515,712975977,129239741,155378047,136274311,401595275,877464406,79188634,417703405,200962664,429290488,217431189,599223542,196357188,824617184,56016053,735173634,822378671,363675394,73943985,982088714,887477663,793720830,252910209,351829095,257583443,432778492,168047138,516911784,242643183,322610230,560830925,286837463,753895107,601381501,403315308,575927677,158808236,959297723,337469814,584870237,97375506,871254657,203099646,229377847,37503469,248579459,664934909,76372313,26266727,554086901,211050772,874997163,738982657,528661525,212409332,683114083,30075946,922275571,937389792,304239250,518009237,486552091,654790295,139261818,651194208,946069977,549874863,791281080,104539570,493866648,86886377,631311987,433480457,78337724,137913852,770257433,447216236,528068994,866287991,946627154,793872290,911816135,785613854,548735092,732204616,257626418,954284101,660379743,981753142,291626088,491361573,137584635,996874037,562080907,655509140,765790272,542990370,752481068,959427753,71429333,856484891,697743668,951641032,923595919,372191575,61193218,949450805,349344555,982358099,233871679,528214939,278880838,935615313,866972277,819626310,824571952,187060639,323811002,359304041,962144767,591619810,525770940,56782568,562521658,766010183,945101001,3105574,448144283,168205974,671452312,243617941,91010033,871622698,961028825,699310254,117214327,255112656,338727512,70939057,982342803,363773571,826893518,851029416,812095542,617915439,343283119,446557594,239537801,663605454,937539164,32386612,40489029,42359935,783260727,416378698,439983523,325651296,897193724,723241247,340874773,126683829,990991720,80575175,369276313,134838803,875993561,348205566,789298596,608944316,75963077,914472982,990354423,429164543,995928990,806552268,886459879,989765902,519830138,517914654,401859944,995122110,192217950,931601391,766297398,17415710,544700302,998939883,307767652,491752022,46452668,72130753,419432348,778682122,402985843,921668700,610848334,633693961,724118613,45128055,141188815,950906411,434595489,126462542,242240845,796306039,191738063,124158342,654686099,132117609,503500865,484236541,690573439,649362674,664985262,198900202,410232902,16602332,61752711,340826712,538675354,888598561,949947703,959626481,355320143,87882594,51968756,616953324,671905395,69664352,918901303,915892455,779473729,787640228,517456106,374062765,3973408,571611894,355411599,229663280,474707955,804569187,281658393,163479671,486825489,457435052,108763306,999081945,905573109,57304786,783441733,61119711,206470905,61069370,276534535,332936764,701988125,987468924,292327689,541819726,291659987,201967426,591821046,54882261,741730089,719505095,442102332,131677792,302682221,44393504,846381341,829048839,91731486,947652617,400352444,624135589,497452928,336611373,472680380,6684090,743645320,14733718,817001123,179771299,315948267,537244051,350582584,379135433,789078578,37934467,156733318,136687934,535746813,282532590,460513783,11476664,142834166,758776889,94274345,483321682,527157344,912625437,852369692,157756480,710812809,556900405,403099718,866247828,580852893,231393537,86643448,292669082,2204641,939341007,78011798,348279340,966862695,974363417,39611459,126881678,483561187,828232988,353047694,600004479,839082077,14089812,330327702,82748855,523564242,395905186,475123222,804046972,618836125,647394688,640251357,542373591,300476409,100209169,541348340,357127864,517162573,461135812,72820014,381051787,984155377,964956747,490389744,864379793,171892821,715112494,484836022,397525841,995383445,543822151,651695076,836473629,680383703,144024885,538879337,542453554,218592807,480364913,204919736,18259777,694125666,857197825,457668159,211971700,69967338,637134983,124128403,196908319,841238014,658857655,205175343,226198970,162770913,706672349,413741800,118221375,653893549,72262490,695247839,343686447,105088779,107570769,89601816,501111576,314319100,380203093,952540620,485119682,345483428,76486395,542624915,729832951,627251279,649812672,184370589,157053730,709243610,382090244,696180866,369477824,382886148,102492061,684707506,224913340,602411116,75992739,849710585,420698557,652410285,531858883,261754753,99495572,133925223,323837033,391164673,525930473,777121047,333823768,511726624,196385938,784197560,113853560,998640600,829992063,199930036,774425380,444723793,951526354,776389321,535659766,412105722,10524815,402792253,32285143,794067740,192615598,661290154,986010545,106345723,559998806,529041703,16153211,991771996,546224422,183546967,631989071,76728391,329752254,190922075,724278510,825539964,157868048,968537778,399460434,316119901,7589001,705524500,665617375,312358276,4167642,581343980,985559612,251936668,596547703,391237975,819270468,715628313,20182694,180497846,129038628,364873380,118786773,909982801,45181090,243557936,554794750,101652853,757743797,136751408,38267970,732787105,405970048,889514555,849105395,270925089,317452428,89450415,687042506,233277425,880223040,569755351,749486077,933694476,301382664,454115458,728346916,451703011,556172336,19877651,316093171,587432460,133324154,657523655,42688361,360546394,449393501,613995171,571196314,901614861,639573878,77349289,495337193,969649037,202513603,672157887,830099718,380877704,866906967,331917420,792346620,587938437,971813366,464190622,411836621,661063597,41664394,396145135,623571044,360190628,288298808,788615365,415987607,991387253,764089727,870838261,957499768,458466670,886243004,23236655,235070105,993474782,716608890,332312335,47651154,627739550,196630730,34357483,437090054,920400352,209916681,83692890,915373880,155293625,701717274,791079666,125958123,678841659,129260492,614710260,683132155,272453037,87009237,161053234,673997536,115263950,696899241,229399978,519110957,354494851,928401183,574646716,405928257,197522126,152280690,422911488,722556945,978071399,223153711,734911760,855317065,850806494,653450782,703387385,179859401,218285815,975935480,51699246,972643318,448171217,524737602,187446572,643095967,822893444,3244738,788736682,296195666,433751741,749621964,36578255,102009509,102346075,608365056,462817120,797361667,385120949,866249428,996470158,464128233,488550741,38139929,775973454,951007359,526667395,84936915,228089589,913522884,164419458,89998516,757331758,780496655,726369225,522542858,929716216,145233876,97580852,615651945,759103745,549058746,521193922,80474726,461761898,423577581,924830988,722505011,617983077,352012729,931925399,947491719,810683705,398087889,284729079,596565119,822816347,169477434,261069012,925081604,812554257,4614103,212781604,899416497,692841837,138502477,367831317,466585230,146488177,549418549,414837974,193506514,264078270,497821924,284952964,896458706,240588129,649012523,908525619,235193810,662645371,346671281,386310029,10333935,92783829,603793292,612187174,590585231,691354870,227682782,727278232,96404369,23108196,401442155,924309554,832107815,695518370,530760390,558513341,626752508,497566921,734338102,391654633,82025233,443282496,746351896,927125511,887621946,7099976,317388026,534047917,854907790,242091601,77518062,484874570,96650354,728051850,571023907,137283793,49894467,307397289,284784507,843563931,131308276,480377644,991765825,858942207,414143483,236283915,189656577,469626924,702210312,769495460,365246419,687314635,3919326,184754913,757548221,974531310,645913701,166576380,551539449,280665093,714501947,959193732,827033456,349423638,491470314,695714582,91682111,761809699,893074731,732336626,353244705,447939405,891427051,653759919,926311454,165398748,318839593,295160414,237473949,334247876,3368693,537592643,37290747,178414447,932380862,356431196,995307450,187116104,647215667,896452907,26634283,137129499,117646126,501886784,646217101,336915030,287664328,434013680,652480234,432514153,124735038,411235136,411602102,84339813,344963800,618361110,784957910,456296136,164846888,408109854,610709998,824138484,404395936,505960314,308662256,178058161,530381402,782256076,834051825,70511527,124993337,201016071,261978168,127505817,164207813,930843312,8864805,610668302,650768076,826655106,534240522,413827035,193505040,791756432,683244039,633489186,729781021,73969679,748475854,134587847,373792415,203902324,714402797,162745388,667972331,57677526,527205477,962720077,49910284,547404260,590063411,601449358,348392510,283993933,482340092,644816747,205307872,620182667,82612071,484982344,465315110,698674786,191001272,172332872,946119198,719883941,954679383,914089206,621924391,987992178,952114660,592922360,847896893,485755689,292189976,884357307,449996710,686277904,222445846,544466060,697154170,485618885,506673506,349005510,280475048,907002449,733685565,598711818,689703065,992194908,800946863,478816066,275228496,444963614,387971074,874601363,693564572,643615233,978734140,968542187,800341368,814136933,881565014,478692964,690699046,806122553,143508475,679207852,749650333,304818034,448882871,777974081,19579243,264876486,920578942,950309754,935341997,676844542,461225682,41039166,238261992,597633564,834674170,358676548,959055401,732568276,654542242,20886576,519496588,117791267,519724196,874417221,153153161,393284013,335225632,566479586,898443012,206119413,382629689,62018018,814637685,40642256,838745092,757079974,410594683,127843591,747528947,501601498,323842962,202118376,859901510,995140075,70878082,569089244,647497519,709827653,160841915,380767638,209585268,426407437,996960854,293342964,986859880,388975931,640288197,558981273,785279935,663065809,425242604,795857052,817885230,292326438,439421781,858767853,359024043,563315405,881886041,301706441,665668137,940406452,859341175,610272442,988650038,467674564,595733307,224670151,546273675,26855759,293117550,755855066,659210578,677409260,365752139,809881287,269353758,286784911,94065130,493661609,329558920,349492429,575328637,813189738,446960085,745811114,911348686,304420614,883891146,459884635,717520353,157581584,893771752,251763802,569248030,64560590,841536292,744184394,214586398,546578262,388198097,587950015,533409866,832476678,732092697,345651724,934405230,700869871,227490145,351601293,220154561,355146024,638611050,332163544,598086612,805555069,308733286,151212896,724226706,332307750,632979741,842031676,826395351,503014816,689491256,427548429,517796805,626740601,549773314,657144462,776728514,764310372,86473424,537220599,494007367,952922867,300207480,769883832,594495319,165371850,582182364,50817791,83306084,262064341,657041262,403164028,667547153,296843495,989872619,195911261,822427183,966387374,86068283,685952323,122923837,722238175,207943805,289831281,468111011,934563545,294361498,540496994,300966420,56863071,249927961,942472782,585938403,7550201,998829925,358705423,502385911,106008357,133251927,836416589,760120313,206600065,233229888,671063507,260482150,560711250,552127083,575309032,28873685,993475875,939597352,848547442,668233622,790236833,426699271,214699599,311868287,974771997,610414580,983426633,520768249,295929332,96489795,781174831,834902819,127769013,420478876,515093905,102108112,747268945,471146833,501871135,109054646,229514168,680680818,53742012,330075762,458391294,109300480,136097253,82363800,596361267,716975875,792709599,284220338,876492052,562320674,375011490,975550889,445421180,570337013,447942541,916875439,623408060,967009496,125973745,904021417,101400346,41086313,47760826,384081405,668409662,636733251,824394392,886393798,598016813,634779868,312226553,599717101,701938853,286039907,255040303,897272683,523021538,478540489,143133073,198588456,136458618,565492037,950177248,879068675,846816074,814365134,759629505,489661196,935337346,739541683,217104154,304422600,330846519,404897768,124788629,438335780,372733946,622362010,395722696,277100056,908389256,587561364,9120751,390929465,385976108,354010431,944067176,457015217,855407385,79851074,881296732,32616096,629278910,178662048,576920680,826079949,470894116,307504127,893470540,681329870,907129424,958307123,425586214,90016476,287448101,378762820,103881578,850744220,414306572,844415325,993662674,761368124,426984726,572143243,549591193,318531571,732320949,2550383,604623267,695921080,272584175,796846803,167103546,808785349,272854035,435066421,273936919,841230246,380707346,905040170,68986745,937094675,696789447,61670119,729952644,804280480,151087797,44834415,314140645,83933423,871617204,494749763,484033978,408035606,645739075,200185583,878339273,893449765,943642483,141808578,550737281,536644345,495556184,717343906,626744374,12873616,133256100,905167126,584401550,226617881,403354227,495162591,202373221,765960397,646064048,511682168,813590852,354720084,502385164,975681217,36809955,690333094,775216187,93976746,440092607,659446562,409522990,808426515,711555858,690028556,301523309,606509329,880370827,264064729,638588496,561106769,539539705,68273130,561642729,204204146,342532754,881873860,45494865,803713598,824282473,109062202,48901013,350413683,519689542,27230520,885157499,740267704,440003074,178568044,649203155,568132633,776749234,311489380,988771246,295944279,881001290,243548761,961360298,513082165,463834896,47343951,947723658,732081244,410180203,453750081,207668803,396718734,186576408,793940987,545761893,701746466,422081927,696284557,919060774,769676310,203780016,964554065,303003429,907651319,386023160,328757097,258018694,590624301,986883448,357939197,108094554,870218120,950293969,641049262,319228397,556217524,452151101,179377562,624214720,810736880,557190247,961863974,291938490,551923228,959582628,953015935,881058724,168471452,34308296,951451402,240488108,780874430,672763304,423475882,815369973,608616037,434612635,470469841,559528420,719190777,569827245,3093322,138693159,568075277,333456204,536005810,666811610,524145355,723600196,863088555,809297265,406650672,533372275,565168285,143005290,269012459,326934265,650641532,948825463,556401059,792020380,933092247,117536478,317599907,741081791,727165800,839107842,364438638,829863287,178330998,675672730,572780192,232485594,929274198,456335362,726893119,648087573,320322869,681637551,214349514,472740291,368217359,845009454,81824153,44802543,565280555,895820097,99224231,444333746,17019458,268946923,306356391,36885376,164839576,422870420,970738560,289910913,583938862,31105828,314499091,448169787,639773253,655091467,363430765,508577760,840370578,200837514,757601657,905220815,411142994,817760242,653318826,589525873,608418728,351278933,660987020,201948623,663565659,636424702,925676477,107852100,428590574,103432586,142886970,975697402,721371312,306056268,956463846,973137093,429260356,400504401,466788511,449935707,736416123,937302262,740939118,351101897,442814562,871336807,223454476,522289154,288575316,491856821,116716045,690450781,710265214,805555057,30695099,327118577,946790109,23801545,516939602,289053761,315952644,579924388,507451226,485271375,381160949,125085623,366845689,367961032,314286400,710639442,772332801,156424426,196563861,217078283,835411446,305768609,479720936,910052636,386955650,578881846,579975167,447364654,779181628,564858733,309766278,485744376,421078332,521987945,615156887,781026289,92429730,138574141,449658112,447782815,410325473,449454747,410542993,721606781,386286463,138891979,963589377,67798348,200785858,450096149,481571739,997440884,616763473,605170678,536271435,364434420,730277887,423681603,575760961,316533524,471777021,819379953,230399789,602243365,35168062,857552405,498741578,849831630,285094141,453611263,517662171,104553693,112848628,763510840,69700215,796583614,496401580,738570522,111281736,666663244,966107780,529799487,836614864,991460244,448160557,673186247,188117604,579200066,898988180,182799197,705021899,374829172,862397411,508941550,33057913,379365272,629300732,214852830,861531346,234320376,495332656,908699004,865425404,487576686,351557153,975078062,296833432,317315575,911334946,381866544,189994260,225730768,819815457,538192089,120165512,906265237,321498216,543420486,265800709,425558313,136248317,510914129,655789575,960311333,115842068,146826991,639007988,682959798,456704563,534923945,164467396,888478019,560263635,185088361,332296898,907662766,886416673,369288158,929574506,813777697,143197094,952097362,948794342,901334215,769180508,185221305,190282909,315911023,264706841,399405196,820887064,463835797,97957513,994508459,899349581,164236578,487480966,368224623,28195118,710330739,782320160,950825070,581524481,373604699,873274205,933246634,675540482,260334961,147118615,654212760,767466312,809154662,641838354,595367271,95043372,49415084,434090342,326791678,68888478,802943805,651114374,971653756,567166855,287884429,974974010,251224807,67113001,396407606,571146518,361484193,328539510,839027653,845177145,8332719,838894910,932115662,690130443,434934833,319468133,14579893,925892121,387319695,607300412,433967443,813974270,434708273,923666831,582254836,926459825,109220202,77279955,59015171,522417252,600919074,435881944,808178255,200613516,871192494,643897012,740673518,96925861,703474867,659939285,471741859,970469309,838907402,578462505,148046674,365406397,186942896,316067127,995138640,583710600,91331578,682346031,764937409,921964627,999803777,549901181,598970434,952477033,846752769,342865707,227543503,75104690,516266858,330043862,200661826,950026861,254515287,889662386,131919565,140252660,793616894,673318794,830575032,802585082,89263333,931150230,716298391,913299131,672998708,252121437,720163236,715365533,134552863,566747588,465280837,97160520,286664879,50885957,93255921,829652026,922808483,71762040,771192630,950485243,620473233,820488000,410318915,726910497,171236219,335735227,369329752,795083476,233879096,783926937,787809538,570394899,35803497,281661937,393644357,704641735,899552446,641603036,329993282,34395715,302436143,313785598,900708697,238214231,341015835,656634284,272841938,986527187,679651864,743802200,522399802,649526359,778746782,711901280,358135339,835216708,595644307,643972110,256724220,629755932,439403386,849244372,935014405,595362979,681101458,348032087,412151156,476197860,941418198,480527561,732798488,411596139,569377035,316526543,430484122,31458121,982521790,257979111,650626085,125631046,45259174,791819035,688105733,43186172,879520579,745437709,49344707,535310755,128374497,750165313,989471934,763655658,963502965,365239995,659668974,432744401,219004256,43236286,256031574,81825185,965878819,953914867,919192735,307812706,270374152,836693242,273132579,476428619,161527230,884745904,216548943,301671825,313454843,865239510,529421372,585951615,293698417,930256360,851314588,863413307,286404893,2195353,406707616,438492860,241408057,673194214,477470020,97492770,53160464,105741053,286728737,209400637,650587391,493200524,310904043,738031373,648494613,292539673,879949298,803609009,647990295,874918943,425921595,828327756,905057456,888898003,118638112,386843617,13560673,369022955,194597462,413863356,339987505,506063175,869674636,563703689,467989264,648664898,389494728,184216693,74673977,247886161,391154808,800354188,516700975,538857298,97633066,248701197,289601955,35251393,974685921,207159971,501582870,61807787,566157909,432800064,448307408,139361647,752172671,260454641,702127328,181766908,344793957,406440404,524778184,807160011,487815169,360173465,316750904,246989913,543431742,437548979,152239743,142456595,200081211,147156887,716577358,543820724,543995554,628148362,446477120,893161310,908942070,411620182,43379379,588034715,477681310,579464194,854716748,385113602,409362063,923031946,218933921,469735073,670024505,816737592,326193181,190524165,863149,117144540,111901126,557720020,617224125,271355123,984505640,801074305,428333343,996365498,163736019,895202464,606872499,937100559,817006480,168105221,137539855,249072398,876760488,868254596,220377526,301538193,696807489,466351245,88966740,789894853,113510571,304534003,659538364,189074911,828161504,275137812,158894257,14870659,516670153,494237227,548735363,804981085,751808980,700022914,194823141,481679169,580229680,609577186,93390946,753139005,483368685,456310706,967857121,990786111,947189681,173608133,920043537,596128894,339457160,385426189,812705344,56821674,584027226,48672937,751117248,378031097,275978775,548607537,710101458,807517477,433576063,515380877,401507827,460679472,516482149,481994007,676503591,573678202,12833184,515325902,243665496,770918772,273502283,907047066,872170911,997988283,218847474,549585759,241992357,394586036,437115919,298060111,952332026,772648171,755049140,470031581,400064459,485462874,820936561,441247717,331877710,8600657,429446960,921527735,953879151,598622070,436810402,497814807,193307898,6960779,398875528,194976754,375487213,851622051,527781725,925175918,73188435,264346529,905885440,514638895,655842709,385602498,713956651,687527141,766167365,100342716,817571941,284508702,452855414,267739299,562938360,370791624,982965789,517477936,455461382,668890931,731815597,653744437,103174471,207483581,223785494,620512886,883714826,607533706,458598890,447153731,578770851,991082816,409825844,947313072,611863680,641619051,915527944,219868687,884844371,320282756,935910090,723334054,866420765,432661210,858640720,399012870,274594490,619427457,287114183,526113103,117079936,953176940,348204958,330039038,96649300,964255651,76396483,560049300,171742833,753359230,955409568,701138205,106394086,283109605,659966034,203469473,322067923,705270679,527955533,644508649,453243061,334781304,67161693,740239736,845276576,606254028,968633413,270153230,15609874,556896113,473048001,952026023,155024247,8998372,808878561,90299280,256184723,528969810,135127449,294752131,519091287,597347636,484178318,983115861,986523245,982391115,211087471,718673428,280193826,961685921,478746454,622959905,488452369,215431500,475298644,672808055,812220649,129881590,938263230,225324862,551452162,642621178,252563814,343155482,718791305,150998375,522990841,987476746,973450520,13780350,536636163,566202945,469358025,269010485,590742601,490368447,398268500,754484287,680270667,738144905,546979769,891441127,839618226,676486701,534327077,18410771,712745100,439665032,973998715,251758473,107240016,369514425,898227701,913356569,49993499,863673055,102964880,500497333,932180724,739260615,851220709,516718684,884688895,881837804,864898721,898198439,157092668,149569962,84749678,299212506,628166833,347804602,77971286,947183907,954511938,705491353,702275009,245800435,131769945,843468954,286112306,474536317,759420360,506838542,904281379,36147631,48374304,590613169,4567540,846581514,4218417,866975656,227946538,285289124,802272596,569796677,599551926,551648808,401867835,123877689,437131181,756819363,978030744,680406928,439707356,256161616,933029007,460897678,302662979,993174909,752302344,892740959,140295730,259872679,372022669,294737191,379296980,914479296,699616799,678879908,735798660,282637198,892675904,586857450,159511658,259683720,828864364,836588071,915672883,916968245,989264680,383917973,97063267,284314145,777674784,158017025,835459049,377613286,639961404,455844893,367144039,196173019,237302493,797545388,250759510,743579771,686599720,667024929,981399332,60613076,508281481,87331087,322048384,388881812,150142705,903371857,483270733,350856070,276655865,884448113,118717917,556313968,31167998,537573530,181298663,632802073,864915106,67724929,596666269,475598371,623835548,44787751,157746260,223777373,164632886,609599525,341031194,85033113,580474066,13208933,965498017,130163801,647994691,292203283,925434943,102702379,946728937,39826707,574698030,658433269,397800637,704419188,931450316,411767838,366351065,646336687,176344362,191679281,75556938,58973368,3218152,618316253,250821515,313406860,532623839,841011772,223309583,556155174,870059877,243933433,175211890,934707688,780761246,11359400,371564365,673150414,351175999,291115749,38891848,301962843,411486232,516877756,723851104,73965722,974497020,492180986,342706112,753093367,158220204,979586405,577233074,194508705,806173734,748368,520958330,244197405,330882986,298730479,661182063,888944717,143437490,967367041,364803711,455190360,690696999,737051690,573843117,358260951,142176931,559743527,318271254,237800975,215724646,857838583,746012189,137791770,458472384,649699269,622531836,406789211,201621307,253319713,275520458,279276021,271704284,125048181,609944319,953334436,195441216,793939906,772366633,28840526,829116352,510321088,64670846,879689322,987774,433238720,774260444,425137601,339840412,189797030,729406428,270570642,592171879,804379631,52413932,165881688,617957463,646944415,568341675,108071671,611919703,93147523,451987707,1607942,992413706,655301052,453804636,213026408,118394261,567118201,457240833,222928598,238578817,93228069,421164362,237482704,878961040,41261614,600236901,992672382,611345648,242618495,307349352,597451722,91873110,878404944,615331857,252748995,658530937,412382651,335465809,158197678,877133891,419957196,264480433,529121317,532657139,757662623,658296384,130633535,620318965,758820720,543594273,910068187,133603693,689223716,47935942,103805811,364895168,7562600,326456562,307799389,762806623,101400368,401428519,33138792,295226394,905759641,718353656,976602785,442118145,196667033,873226571,317904901,375909392,893472771,480996636,321989373,531861785,875300465,426070983,547884832,877846695,176508789,865774296,865649775,322445565,648870647,367921534,612629197,589614120,345054597,422925088,651649273,330361455,64133505,174957910,685448984,693065435,80483864,976471519,887069055,994721324,863001281,447365519,771713149,711921631,877279512,22100553,314695277,251097133,169331996,364409454,764751124,250763534,516226905,143962397,624828994,822801528,693915417,478568026,928241645,610057491,141124962,264059137,256758089,101794811,579419161,539358054,345440035,477733296,821100707,638936437,253148016,601578049,394307354,151651720,582916995,393777146,13646419,432700597,993428107,875316212,806514254,936213550,905679371,940320401,829245842,932730924,362980932,618279821,82340475,561171162,22141237,830173107,392075026,941214025,440381232,52377502,119904829,157354681,689822577,849699016,661567741,257137000,923981802,454285513,38927215,181680345,454437758,87713768,280150329,970107625,831695693,484159362,463304544,496944089,123472960,831604000,71739042,153229273,106297005,37142690,963662759,247071638,632700227,966905844,457127990,485852764,113476979,318276105,355236508,76451547,704898948,575087092,163128955,107548452,234744201,243555040,903182697,846150516,483788672,662660595,397736851,49347019,470250498,75727487,182554961,806928334,943238213,285518270,481445966,318078051,950980460,718422139,140108202,794006176,245252443,465136378,680181836,477929664,316579067,854371076,321414839,17700762,16408800,691948880,412827872,224778154,474907217,271227144,839429554,166326684,318904342,607894826,128918784,504844822,263628223,798306374,982777833,544934058,109100343,308419483,65305083,747110157,241876360,138328203,64527473,996606751,466036867,105341835,607336865,610397061,536506380,916148715,712623038,317971675,66178585,975227262,971884423,260482022,929041781,172666494,128979462,952743659,546369495,968666262,190772628,592305700,36608007,252862205,403710188,830991188,247670400,540238133,478799614,121339973,487504370,853917198,33756563,361211150,955317848,982057642,929985389,719821202,966852668,854518984,44072911,113099323,489122972,564888685,782228354,316941843,967587793,176094958,972061015,286448925,878827714,601165015,79012603,608884782,568444368,370316526,403886558,47473938,233041528,290603434,884774420,190565495,891557315,18294026,324295655,717088952,145845242,184190531,258272085,518258612,665321656,505198860,789908896,725918546,831706171,49662920,332359094,399589219,995901752,400797353,279087721,736899154,242414293,188850743,967181857,3566564,869418591,385828372,559465968,384074028,217187641,754213738,301996045,901926994,368159305,86644611,481383651,545833600,634039019,165021260,680472418,823426663,804756391,483951822,883605273,671903498,406103228,340279543,291165199,328358375,730959671,981669752,783065460,835459869,625918879,451260650,560399166,978114792,96547748,397797194,336190163,692959665,432027731,135333392,369624994,219280228,781754273,300980847,327819310,386250264,349925829,397786077,23595725,214821763,930579782,961827542,417158549,757115662,475619185,66143066,223493609,820039299,229484430,863784690,280923827,162130527,905033864,422369748,644068477,785057358,885379637,646477182,418656779,505056782,727053873,259226312,972453671,117645710,382508016,771973663,968666011,847467700,913904976,183329339,450162823,46566130,699623814,332717611,429775125,534492651,962391879,443231580,258986803,381592242,425043963,380220176,767203673,538467676,586131243,697520864,7568165,229823841,902381948,101302039,685515168,473475665,201713009,254193721,123586217,41439893,965066407,899403604,996800382,109383056,158585220,813868937,65000896,764458233,197973089,893565574,370933566,644033819,853856107,204819348,676506848,811855744,194554913,446421233,842016569,568974301,72574602,853763096,785951003,145650361,128736890,929902038,957090421,558068622,606498352,56944947,16347504,641463994,623693696,764936442,206148511,712168923,57965818,51072578,30702425,576003802,889902327,604780073,662487020,983447369,743171873,759313901,50280522,801558525,947491471,981984837,241357782,963287805,435647602,458131266,373349702,610583246,699352491,491475352,417383272,804799465,236137423,452141692,969126621,502606981,584458011,694353581,329123065,413968878,370580720,266740800,688378977,290283256,901799705,861701845,609179885,312462770,150499657,41495472,681706504,998810702,960418947,630022640,204907115,262648082,959257353,613662887,272117135,415292654,41904193,822169368,273788879,723468938,756079640,681147777,909467445,55303267,566432645,301657081,890620444,852725669,272074481,898442665,358730533,632984774,669655580,437799276,442864874,724657594,81642203,295212280,704714265,528250379,468658748,319485637,289109633,420826795,802571131,333089160,9105168,121804180,277349377,809611190,637825551,810155749,781244279,708121069,74844781,85845403,174947523,813995491,554729,487724406,969261886,910070813,315810447,575859816,259540544,339189421,794153639,725332850,741959802,874531680,625018533,807923706,1016939,814599856,662249010,422331290,388845287,45597134,318055390,520227459,375860611,279796235,148019281,954531613,186203250,154620612,731086901,331526642,40212927,517139381,313868984,622852872,301699838,959898776,81775147,716305797,91445233,231891111,437569795,650094342,25865053,252697830,279844433,865882161,305677417,972107840,839714624,756774902,663867140,236186007,513125379,813287956,909221992,996396975,458162908,478669916,944980147,229426540,338406906,116339799,932287331,598131187,739367745,998051224,159257502,197887194,930433391,250109854,300534137,387781246,172780670,995506495,194850789,13966488,653151101,529299935,785822554,376967092,983891666,910987948,37473641,750585466,719968498,952315449,30248919,915945047,79331976,6918658,524430326,307608427,40322164,828284607,410477063,491469487,575433063,901918558,866377867,694128078,398492071,662052770,61475445,13518324,234815923,936267218,383138505,472898789,345311002,474441895,299912571,298349142,459152484,798739868,74894701,601682776,48847280,262229010,626968119,280091036,888899825,848751558,947289800,493773485,103011530,193019276,273733572,211990864,152009458,895425003,629915013,848564795,41479083,595616871,75526163,127211841,991549626,136486090,783914822,19212538,334961074,389126353,739634777,286679433,221771713,353811064,538694278,349012859,601934822,319401303,872350995,948077345,780690008,63767061,687514777,262571454,540191404,427269317,407805,521770570,238985751,632981337,191894833,954183090,626556382,612561129,486447371,325705168,211887440,161272634,863360122,925808813,907724102,664364632,621258355,689738325,970390749,289107741,968907607,386664108,324407786,189214202,94612769,593540865,818396722,254777408,66691030,834792830,966296331,173098037,303149574,561165641,661186855,841073977,667171481,781289985,299363357,51022632,202052501,26016979,578175746,145430618,652713007,471261297,772450324,784999729,577988244,67890273,741389201,118465541,6050095,342625702,919884813,253709131,406017492,845663064,642741056,657956728,163205371,959937828,700319548,851518414,600022558,59707662,900916714,304155974,186408548,447687211,38917455,667434628,827202270,394995313,887970090,496729829,913606802,774537916,243516441,288139983,648316709,874569150,12359921,258576758,10470075,142644236,751349131,789374808,583619371,28855486,755680848,482495919,858044358,965621204,463665465,160139927,254576513,3137613,682370755,863651484,254083707,606659902,124617064,526697937,415206917,927615905,345783120,406155363,88667915,564652937,452668074,178281423,648198353,43755348,619453515,52059752,597836585,769189848,612453815,598885316,225595299,432050619,86706456,156089499,780935774,735331951,464717825,235545049,904783686,712028198,260692842,98425338,708548297,539306974,183093098,876238134,273623239,268052704,402230585,295585367,136393737,159430223,838742875,66136179,865967320,128902827,393184743,271261920,847771598,422915902,309622271,823500218,750431417,555225771,535173550,187718294,540873787,36188775,627630638,698226492,771685991,180591225,253185367,663333008,934005090,989720905,397568532,332281166,323438160,590369488,701385518,125043879,100763482,740685005,174968061,193406147,782576920,425146376,57774011,801434431,259065302,998444973,531249774,79513070,460945026,386023741,308675594,624033198,288844530,223862878,767285952,775848095,760544423,149206424,653926693,806088,973654478,356310954,310683711,552031652,657320302,502172167,317078379,912043267,426454236,1525211,972505356,123243739,305733203,302837337,112216714,478046820,811350688,346440555,880333732,88600295,214354380,752630263,476239915,369268847,109018340,937609199,216510085,70779970,912585285,555923233,244378232,580137846,428237395,131250989,542770151,528765499,257549549,279480697,361350456,569874965,778742353,131198130,220391377,890988791,266179110,757366602,894525444,632264883,976996481,34168160,770666346,14913825,699198648,145539675,347831319,387549936,360171497,704466824,369032493,525472286,655311528,13831945,477525173,72688342,430823182,399852477,151427728,90651225,237114877,738051275,339214329,882866547,260578702,52265072,438937738,465177540,476887776,685094257,209749737,597179396,588413973,151115073,571344897,193458025,740492759,982231666,598757068,335058294,875262949,972568489,357178756,909058372,998165642,95450196,954093196,507210548,826485751,507555160,882023761,946059965,335671275,57747441,679491626,260964931,619028054,765488126,793672520,265282067,211080148,228306876,855969708,97210537,628871705,458519333,446815272,940666410,530840423,275928775,861687702,516814285,532619015,176372071,31622202,69014999,494778071,518374110,818922717,335125010,324754357,249928610,397269981,957760055,59590883,980538640,169766809,478549851,742793553,272172360,817652701,378450331,314452383,212632586,370032194,862925085,839775596,401038312,765882590,25165547,409081185,758717854,29323144,802113406,619335348,670187597,432992764,842300893,451190819,543777190,955899663,167468838,911305454,943898810,429047069,870305674,108945073,375917020,157236084,269449257,509246236,623982958,152174729,214323077,326196592,160257757,347196106,427685579,101980047,148361038,162482083,397455571,656528552,337869993,332644833,951987822,159756238,911309883,445389380,53561727,389885080,892891025,615089903,397677586,826739378,597832725,820872628,92304719,974260177,188145987,496908853,652170816,442522275,135927893,78123716,184120078,184137826,933891864,154815712,976529142,996029324,364254469,439608844,813275602,402508956,93046189,398679305,185801436,212295926,439035545,347505648,983238079,531951038,891923807,374326942,15383427,269669111,253280873,743917086,24854336,937583156,413136149,605154802,676774715,234441052,377327301,116490810,324311745,274836385,459002617,642516882,551396111,999882622,68450921,1175391,993786840,466454106,632627337,677853710,46385419,766606653,554175716,195409438,800676227,998397981,603943619,455388781,796053487,74531244,750692148,527969567,15571312,675420846,547105516,614303552,867181126,118961158,254387999,997958504,141355567,792788923,195849658,139015753,186702814,917327862,657267424,957504120,791970733,391916529,104634974,21408071,882177415,639306152,85771927,145946594,502658797,84541966,6037049,607214057,892819474,381942649,567045503,982239196,536589177,413343240,646834247,952516105,815609737,73110969,32844520,690559674,485839152,270935012,837605968,930228322,648048461,262494,59563011,155651427,602871424,271981151,341302491,393093646,347279617,780965491,407384524,371554884,98929662,461255312,978259876,480744698,224461704,435067194,887615803,567271624,803306762,665097394,673323885,836951559,680647204,682723396,558406523,947807862,950256734,674056879,279729097,839146595,98739001,556215231,481665717,693320682,756390517,243299690,657060868,884378811,524717438,452407484,58830953,300892817,237906350,195229497,803119766,655150059,941488260,358730238,371764031,832355827,23839303,207738227,16373697,182385232,380362034,512306434,894095701,567218130,192638973,197385856,242273426,422060930,927336265,882999313,85163850,90610765,33516238,776923674,671945613,767518373,860734720,513009892,472622396,819011033,211774526,855935661,421296735,54833051,1416094,509163150,50750086,339376333,365461760,591744996,442439639,587598543,160213172,34913210,249568549,914294680,894468449,837470852,494512780,560807828,276349974,260858355,544586482,624530253,849676050,35894795,427983737,634172670,273198955,461621948,113624766,205576139,782246301,757272230,842899237,905693435,700009439,591057257,189436606,641184817,587002957,463527400,403404023,402230310,38604363,262577276,405489435,357904488,993262554,865360593,491408058,876957195,311669384,136847160,574403364,180979520,987273841,222568585,699944150,21794238,895981287,680683489,488202442,136390356,536222139,65700491,78705970,554264708,800700778,877949733,936619470,591954633,79930816,232205499,37931336,179217025,305784357,196364163,935032428,552372894,509841874,711591431,996630040,642916,198447071,915387142,385230643,426677354,179661606,666228106,281381972,21429528,2191402,295070217,607871566,521848641,275787847,653311201,648284498,967871972,903775523,105354847,569100761,822251904,275538852,817375763,572291096,118333166,608263793,498534249,919601492,471522834,259782980,334129544,456851834,516704059,471048481,126884638,30081818,558935040,583999555,61163733,951959983,878291251,499057382,343314917,994473755,764749508,83074152,255800380,838086053,778110962,998662202,417771902,827436248,445301100,271108584,958805228,913987415,249598684,555368814,126805845,311277480,73260345,925419810,165617237,667438706,773770039,337277232,831108292,454416114,874855177,441074449,906486196,782284609,295082215,190072540,121569484,496608056,642677391,512247467,873809389,786633911,102873144,741263564,769060751,627628656,139637891,741475920,426381493,762813552,394760846,593805238,691291458,513182619,327390967,816275818,462583724,421047168,4215878,21775094,532928014,349426192,970410167,188617352,817169677,688570103,718024792,282214936,317892068,114773345,583410508,739470781,94259673,222912358,738351720,539132037,39110660,313825975,111631432,930240694,799716896,37829409,90700055,765040251,202940178,31774394,843145447,53574577,613865045,170916701,740673169,66242574,447994721,154332620,241825115,221628267,42426927,295021729,187970787,199337830,511017251,609990874,187911787,584799814,306857594,18098904,642531198,779530001,122663809,945498313,358155409,388933963,280750065,453524674,361745865,311474775,21450966,400540171,945495115,466756739,334373940,12551322,831392833,766253952,69538398,858018825,449528783,947166417,49062715,957112193,428920544,723426839,505318870,836263110,861684657,34751022,548529387,108983646,251654221,497438877,378555567,599603889,686154590,201411534,273011910,38224192,778627463,782893383,661223512,246845715,621158987,120250031,38693343,418418530,265971666,734449581,465850256,429076292,552575684,747114073,655379359,978748955,344425978,641850087,878812392,460399252,504818791,939041896,530873458,571966528,947544044,397643361,889040140,827855632,107802721,137555469,375116253,226267054,361691180,630946265,295389486,875708036,321513361,616054935,161133240,61648419,725988549,813232915,652535669,365046239,897259434,959336119,328361321,396973885,71397766,581117480,489869662,460992716,917971209,51184201,690159198,940767627,973124740,265477103,56609201,469731120,967549345,977409499,30294318,796423675,70708268,104452036,121343816,940465673,625350932,797652177,109187462,746373726,705459831,80487522,855767497,942139863,568910441,895048574,700590502,415404273,252217289,94055450,874235040,122183486,968016460,968614878,828691592,254812248,523490646,130727131,459286199,309967067,833390190,220402695,511094645,220300093,268174725,215845968,488623676,389256368,138136913,836426446,275077522,264633042,858862295,915566835,214320683,349513725,86088675,526247205,1700558,893993001,841981939,715256704,140563385,631019443,698068815,231899014,111686518,199655514,540424465,531214798,267882778,784866455,799347117,353588410,971786551,156430187,565553809,881876002,331880225,874832854,511205301,562763196,923845265,330271805,60322815,62502709,122414205,632820266,405262634,425725055,896024188,348400951,470749323,976671021,824936190,939001425,701367300,112163366,933483820,971535286,283400354,233196847,403610942,219204911,71500414,848345305,352782827,898523232,91443117,889609617,565883503,448977602,118249615,808569208,625833554,127672920,784729794,644993716,810757642,512950813,519619492,8568259,887384931,231353434,922985111,747386311,809094756,911512113,759298643,46077263,929973819,499857545,691351502,678348757,536348909,491359820,351274326,789957387,409753268,844615730,91931982,838875162,257831421,386366850,494492965,883904471,388612395,828568935,521117244,434355759,78218608,98904475,91001285,163101649,774830410,825536780,473268970,886616187,44585408,672761234,531154845,971312894,42201937,374104877,217729653,130610711,781051513,637073473,164601516,976702498,79686152,296832558,510366757,927991689,385958478,371563135,786213492,711428392,210238491,13745017,217103950,820921427,217787485,380017179,347828973,439541232,503462259,456307830,416940005,426211136,326200475,177568034,967198783,114296696,957169224,293349105,747394558,154211810,62410548,806143565,52332520,377130911,977261652,435871599,407508034,73674120,139382365,148706460,879606220,797879289,156369444,339462214,523028992,324632342,464689503,197567132,58905185,421193436,796330951,982358570,310473646,265066471,287988234,291864971,315960951,366067801,506497255,547385666,971493023,338560962,122370536,959160777,357941253,9434272,830153306,859341283,937973251,49370531,521893201,903786626,790399646,894276400,903222513,685799357,358065184,181291136,774917506,885888507,224879640,627205562,825355570,293006912,360617824,423386310,722949994,474239002,587027227,73018378,527152439,2364845,300887166,763586731,539088422,915295637,778943620,211892412,261581172,780254877,73258932,833103048,807528799,788659340,745015038,175249943,567118538,848857792,15861337,872461336,554173529,60780917,903022017,730173290,911355463,369478815,135315569,913642887,561167237,414861934,838117083,558130852,888336283,964857226,670688658,603097383,822444638,730055488,890136457,321344697,594520233,614676708,684584794,450172507,759647440,795300852,496345923,23434402,171265437,696471192,484926459,130474058,886921116,978962903,75304233,83144210,632235419,91052314,750626304,305613920,552055828,844058303,638360532,844024437,725493496,152620754,388529120,379227534,537023216,881387373,51382411,179635836,213610630,544049700,986548874,373327268,740298135,487360185,356946053,973810594,575704981,372815408,837954179,888163710,859437700,439957356,379186882,425572734,17151186,471190295,807741660,878693668,530412915,321590759,568236824,250190458,955609897,611008215,92361195,164029717,73685446,66523665,506137498,402586347,818453749,513730788,425844930,581093945,186626107,881906527,572206979,953820917,218623244,667593159,730230499,82022003,276863138,259288238,871562639,309774004,901574227,272803967,986094813,313719478,563782200,550321319,974926430,51565918,680528207,598928758,954879289,454367651,89217175,426272620,528609468,356339537,882946011,541155220,910403347,679182531,789987651,769268709,545586281,260932373,953901399,614243501,265665124,522158120,93508886,217809415,373690731,59394985,322524431,218070480,348413551,190872799,795741345,18304232,30981280,161186209,93764158,742293354,231016397,660996306,879905982,295603817,803417050,800257962,645705994,51662926,489770883,348800998,162219632,306283154,993959005,458172277,292681888,621100450,55953959,277770324,768080358,388918303,508635529,147204371,653757323,608212216,488155246,905442431,269819737,348135643,802721705,727538620,838869694,768846325,72705567,2917271,156586064,558767351,46099501,73129814,201208153,319867050,668413395,149807342,167762847,580923731,51579738,483011118,729358604,878049390,35995329,633140146,961892000,557871030,178741044,700471875,679023190,484157946,698010337,900991985,109342881,874920003,238435832,851197205,315562463,618815599,107603440,916956036,740141927,114643909,568596525,134475127,449056364,382120449,979201285,150289259,170928417,459364641,385272422,176618349,901332432,251464096,606114608,78948602,675737703,586291298,318184509,201557694,627171010,981175079,942875884,79112814,11126652,220746187,860661751,535105527,285652218,924014055,886913577,651521984,487467879,860854605,208189453,514330753,282248253,346498262,899115750,964797665,80112349,56718332,241434680,390615064,15992928,768775700,771453997,730314942,187806076,127859046,579982129,999035537,284408078,486947377,265189729,245302679,582234386,152215567,93626834,20140945,253066060,781417035,722912618,510676540,700434291,265335267,80019467,138137745,786921628,855442313,545371378,966986296,43926316,965220069,834131258,694586307,955270213,64571830,428858967,714250637,875937365,721103773,743266500,410974686,841738982,721718392,192532226,281722487,980628386,308122101,346455837,974901010,871585719,403486615,288011484,602675127,502159124,428156069,161132354,281841246,108137019,799048156,181804317,56058428,760466481,863672379,570422177,535651742,940764013,73742745,46691152,767431245,75782565,580992610,235798661,528362502,361433951,810916148,503718636,147124920,784609103,250773233,358579612,136893555,290762904,539894506,356827242,468478938,234308605,764451582,414990687,359103975,607817419,828868724,625332183,746125268,847896215,249649446,738693481,307223826,900080935,371915368,19934399,459081657,122924506,981916796,779833178,972858689,666949399,358396149,985306500,642696770,702670415,159745706,907509139,773432631,38103458,239809570,851530440,405843614,251018626,661928953,926050372,957056330,959840395,323285397,924207971,992726456,138495836,452156222,67332393,765743835,111967099,342543530,40394068,441185389,838389071,818485865,627680886,30537274,955600892,916053492,27102407,823045200,826881383,774023529,250054422,494135371,695497413,275728531,222546046,423641123,422697817,870331817,129090800,710165049,314261885,85657099,278457417,631018571,527536213,167710262,297061627,595658186,906356203,996739817,774718967,569092555,917124190,985872029,37854163,597885816,76105975,425232593,114620617,496361983,845543834,213834730,772362164,940157357,457095306,875201413,949362426,619157958,983650259,918155649,414114875,446099734,229926358,618805821,681785499,680434040,303063948,518379601,23957944,935436813,400803950,727262787,855642325,426244346,244149962,899581461,416922029,15130327,954137168,196215227,216069713,285011004,716815089,759246963,141993273,603497766,689237214,198417373,630592492,709464828,387786543,373690973,388099666,601225061,242444525,79697603,850145602,919992347,473272416,129208382,669091583,199905613,165914039,950787160,456444556,298768092,891239943,871414129,873923941,217453204,934666286,730565127,748390764,904593166,671477325,751173496,31455102,913359282,563702548,763312441,636497600,443242973,407868989,801959305,357268029,785182063,776929735,245163613,53463168,729059770,844784893,982897964,916042548,684234056,750295903,454213989,958557996,704123155,124773408,747789678,624361752,203383649,266160873,532074552,866449339,196304148,695132716,877603942,125601734,349087002,164475724,738651033,673671540,146685989,336102161,817918988,759423881,898490938,267782873,349207092,409959242,174903716,875233705,644587668,107258446,807970494,575098468,567864876,814860164,812145023,73361276,128302090,582760503,64362997,293161538,420446532,753739370,749024856,440921868,695372138,530355028,137157144,299698708,304762186,266852379,259997081,335960596,295651483,75748580,813995633,624583780,458780768,704058007,967918318,976948501,345235104,580762717,887268490,621596015,910128015,501969879,334591172,56951730,486417821,879739185,228912463,507461977,268337507,822948650,88344354,292151959,579711582,645640875,522205658,69453717,842341659,839432720,858159750,962943188,658785855,791738287,460820562,442121645,833144297,915682199,157243110,698488400,757297069,969228484,634692983,662470068,766095008,99762503,568209873,873156079,966679164,274972511,999935604,421388279,284330122,364007550,148652805,690492643,84045000,393911307,147335081,55893709,779866591,513227205,802840675,345469386,849948576,67455147,793223988,440569200,414141978,192138225,694196607,809634686,226721255,6937929,477953755,320585254,584216582,381489894,504128766,142182045,293374683,75852730,765165325,173790671,24148504,381907510,738301828,77301592,263544094,600167459,441423330,472756510,438669301,700297566,332243535,838404631,605435919,297760252,871143030,760575336,749352903,283154789,530354052,597474318,768482466,457816017,785962416,512252352,739598308,761673790,211464485,364803929,659785789,216530272,308039663,72328488,656539167,515927222,275505151,476315414,438508579,262836591,889507418,21718498,170484470,422706660,234801896,252382185,509700794,56092078,783411558,471942916,488673025,306752017,495392329,933541945,995722700,81166867,94300972,416010790,491799027,486566568,333195311,788569734,213384988,628689339,362965631,209614483,736342462,61918932,42407847,387070428,684670516,708537529,691427860,972576235,460882302,135671169,678579303,526400524,82332336,228285408,421089488,530519348,35126611,799392197,385903608,165481988,347953446,923532436,433558842,37265955,945262965,587945162,543777200,384142225,214670210,234138698,260372135,11357265,675280704,888239589,146709428,727397867,356139670,296787824,432853592,214221713,581773141,689508395,882785628,897365028,965669867,618288713,784103326,987054639,691301706,280974678,467670,567202589,657835403,225668959,231794114,470934033,463418767,892930146,488101996,113206014,532335697,330093615,833839900,117267457,140035313,680525048,668786912,357856772,713191217,889032634,715732963,646389460,776160849,169670459,991672330,700603581,608333509,233284725,322146922,983995544,856789200,227702190,170691724,470785192,56302081,956479399,695575446,523382368,161377338,78306686,384039744,76977749,876297715,11932850,643114007,702849735,260061758,573509928,283021639,369423428,153846276,882015393,109476902,700993311,428018306,874542293,945778675,912017653,471026903,28636787,711856860,488240871,303220911,251221550,819756752,236214049,326478346,281787335,203751404,18215784,778628237,181827839,833223129,686511336,889260557,729991206,594757393,442206721,273864083,384515331,498547703,43893904,369354027,276435734,638831430,925423903,169244447,713571854,299793714,983123116,6137572,309244051,947922421,524362359,937839278,575359983,232557369,549173814,605540478,717738697,573000968,278461952,779167530,908713614,254373222,69042323,446070331,152604039,211148618,756713835,225057605,805558514,384757371,144290779,130318371,265027278,455143480,45266602,775642009,963732204,654266367,970497697,115382794,696780322,398234479,717278431,39511188,605472602,383930491,251295223,953190711,224443665,129139683,789728038,34551920,181054167,440385937,504523438,110423967,70296556,560697036,153648088,63465732,276720061,561743072,783292620,433499438,813231545,217668702,222015669,799037663,532469458,67418169,112908703,979712956,498170560,889325879,586355132,545873908,923848961,41556268,16719790,765934070,481138422,302165970,907445460,433241265,361828344,848113380,10725932,135348035,300143467,977403649,211486864,996581724,857308411,30799664,592384025,118291046,862606361,813197625,154198508,521000208,63418145,316042241,905265785,615144761,399982377,221692047,146591014,996230327,140733252,669617502,436236718,85439385,264640272,294214873,473522066,349159543,978310929,587017871,157116111,244805985,713087973,604138936,917408935,767545133,735962944,501309183,869698117,374047213,284729114,274950670,184467706,632518228,921051614,908329701,127291830,744000609,783609542,317289750,563583281,247110221,506899775,91856877,968426730,254507513,874871206,575635127,57435169,746994297,270199279,586078303,534321245,89231316,243409389,984872695,602875687,967193641,504410790,324320432,304800220,10521796,884694599,676495875,586838365,509790815,157561197,774167141,491513562,792482408,394148935,48076889,275628373,379638863,135909169,872322060,56542370,793881914,479648044,882974572,936470318,698841280,679338441,280697003,242669991,51860054,19311647,544563396,645639294,817836345,291739587,137774091,664759485,207205472,785646140,472371166,814061619,738607318,798721454,562874834,90637655,482896215,180230722,670725360,825790750,750162303,76458241,212563156,81578370,730833567,154525275,710887944,783760398,135609983,822847829,959137681,896091487,285429755,878941490,991946966,939828831,675059043,240827909,797730460,491094367,484390208,586788685,519797221,803029456,120049921,331729630,397300202,468600471,828310349,638126999,512407676,735815049,127262936,360343240,7214375,473778287,235353321,701002453,715479638,498559607,269250768,17435562,251019353,426105364,347104312,240219577,628274267,757358261,597600425,296858682,666252098,695389094,293106674,415656122,665800058,743289643,382080907,184920043,232781552,28659416,279425793,751073673,272752149,113606357,464422580,332790942,769105564,66227382,655754767,653635143,883077510,279612181,332563529,347448883,297285810,726023510,843570161,298154159,470796295,327308944,113299238,420094140,621563499,732594414,527424672,189955811,88601537,626969880,269283967,740152930,353906394,57253165,944317805,620598263,683428048,36852308,871862030,678348288,310407690,953562020,227682529,572993318,82430002,969777815,554836885,4873418,683126130,194441563,745216479,960711940,693571409,64208011,945689679,299701949,697680525,213296897,893596671,400586138,41173684,922268205,958418171,488821749,36529135,540106555,163305597,888193507,72802106,40085557,257306459,965204803,18789935,39650900,818242382,206953651,505422039,828151969,938142662,290115927,673156181,41602560,470608759,826550194,478289274,231916019,375935944,464624252,203862981,654765651,475202611,357143587,703460680,922164684,797317963,798629850,657656608,216063806,953940252,785202388,609890670,6070761,590037797,261732383,728031156,241277287,320810213,46201245,182836601,754966506,912477679,712052485,718347636,402664349,280061965,390476070,112291771,409647473,681680536,571240716,488320887,330501527,423725809,307436782,667885754,875599826,868342507,739163591,867478879,377571395,462261459,910035125,340881623,821972217,973002933,587897458,95223618,213731211,625519532,702748071,763165112,117498976,280741451,911555769,291782621,678441732,78414036,218754310,503291170,181903682,527431509,341541936,824366369,24087331,403096850,835643270,356380095,137038296,379940473,641028920,267463118,159922152,580147292,245576907,985289324,825503700,75333101,324344277,107539347,735471268,983095077,633527988,459403618,681886098,119994641,442437245,39091298,953624636,422982958,708465168,78935680,314924579,277911085,923660822,22714294,611620744,963727647,476973023,330324835,478335574,72355991,544175411,964656943,716739422,552686247,592826379,808023158,259666800,347002052,984521898,814791516,344934666,719828517,469381415,884908741,200180287,423779896,41633238,339758222,560420792,859462956,336479717,433063522,442090958,204755917,822941177,840693411,978598224,639366865,977983683,925515878,678739322,75207901,309177706,830157283,92747617,246131952,451185842,670662922,285923176,947753495,654538696,40335675,159488505,523544064,977203358,192587577,265007352,779596339,320103439,961678983,541360377,597394538,54730152,591734791,217078181,996935610,814574403,924288531,298744802,711774921,28039273,280372620,820034597,980882203,773310834,136014992,171449411,41741132,730813893,481589193,570447133,991236757,692966948,65460580,184658084,171501287,815773176,825117500,931547129,387941744,908458727,487557708,76385657,827276764,205478515,414272069,645950877,876208898,569961692,757503587,877666335,884968386,245737184,323677992,317195208,889574872,384145786,930587285,530919159,813408878,927773635,895141725,277900575,264735404,933186467,57780251,80114404,659834834,13855452,794169414,123524600,105237100,497059383,119462424,141899200,96046910,677566679,482489122,917795144,55577609,558261741,942262253,669596670,5533979,231193661,938720988,125715452,330012465,561431792,602849400,29398540,88364399,916987529,988017263,595622798,663106284,717020886,946344088,401886877,91464655,491778803,585268694,767167093,352231945,793528015,700821486,168737843,728863788,351355858,642892016,934782279,780056996,189398410,640479396,275680174,44959867,402603064,939592466,484707834,720999673,484138750,311007072,650497665,477425697,279917251,793053232,347000982,459462237,624383496,840732695,829981890,812798015,834549047,904859071,861079068,349014573,728195373,940381353,161509916,98629444,65919379,931746946,860873110,51745688,392710988,767153449,376345771,780480140,341017321,631497010,426799303,316555344,935706066,740367913,878456862,290369023,341149647,108018899,704391065,946613030,888698675,625735641,705230057,682993926,917724882,267857696,533789043,854033932,902228283,961793006,388168134,408216414,320802404,624710290,625665173,115125988,86937866,422682070,133614559,108947940,59509483,672451663,846420237,68051314,494655172,524261551,371199610,819169902,947108113,313958922,604803634,471389148,427535663,895367576,320165536,78619523,699553733,523981013,468048896,806425190,178042814,820486486,655703874,511308259,267289904,530097822,4752455,633073694,893995653,255335811,23733245,234557039), 1) + } + +} diff --git a/minimize_manhattan_distances/haskell_tests/Main.hs b/minimize_manhattan_distances/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..d18fb3ff2e46a9dee815e9baa91c02eeab51128d --- /dev/null +++ b/minimize_manhattan_distances/haskell_tests/Main.hs @@ -0,0 +1,41 @@ + +module Main where +import Test.HUnit + +--Program start +minimumDistance :: [[Int]] -> Int +minimumDistance points = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minimumDistance [[3,10],[5,15],[10,2],[4,4]])," 12 (minimumDistance [[3,10],[5,15],[10,2],[4,4]])) + +test2 :: Test +test2 = TestCase (assertEqual "for (minimumDistance [[1,1],[1,1],[1,1]])," 0 (minimumDistance [[1,1],[1,1],[1,1]])) + +test3 :: Test +test3 = TestCase (assertEqual "for (minimumDistance [[22291889, 62223479], [20133205, 12454800], [98966525, 97979105]])," 51927363 (minimumDistance [[22291889, 62223479], [20133205, 12454800], [98966525, 97979105]])) + +test4 :: Test +test4 = TestCase (assertEqual "for (minimumDistance [[60524669, 99195537], [37378551, 14300009], [32140740, 2097506], [49507707, 2326044], [76469935, 48238154], [55612334, 51404665], [65448799, 98176793], [19033101, 84371599], [65611802, 57291950], [40365227, 48669746], [3066472, 4885187], [89984748, 26328215], [53953738, 39015072], [11943073, 83269394], [62138154, 36863537], [47192624, 68599111], [11402048, 87923070], [39002549, 48828255], [45487396, 84836799], [17110206, 58728525], [49367833, 11989602], [41381581, 41809172], [57193356, 17559448], [23552704, 27327996], [3720166, 4511437], [6987273, 4600353], [14199919, 15581273], [26128754, 51648681], [56843299, 44218314], [9212778, 14172237], [17798312, 41869433], [91998981, 80058038], [57676822, 90237537], [70680043, 39255155], [5445602, 75719802], [71643804, 5189496], [59079896, 6308231], [21872456, 33825381], [88437209, 22922960], [51388021, 40479723], [87189304, 66123356], [69886996, 8187080], [98621673, 73341981], [98743606, 25157569], [69239644, 33066082], [91399814, 32552112], [51654854, 12438259], [69067641, 15982093], [9717389, 92648788], [86498312, 6075012], [45548765, 74482332], [87818036, 10037309], [95480436, 18772838], [15117845, 97068766], [47892039, 65734900], [82403456, 85256915], [25342469, 18847175], [62787806, 76315415], [32568139, 93937922], [27909738, 73388017], [487505, 11727722], [79251731, 9626819], [74025104, 58246013], [82556296, 907645], [48832761, 86304722], [35162427, 14636906], [42001927, 989916], [77749963, 89717989], [66376034, 56890474], [33927606, 15822801], [6061200, 84955839], [36002898, 30167986], [80456659, 91227349], [74145274, 84728069], [9991541, 29355372], [73207014, 64696562], [92127011, 63182276], [35995852, 16947103], [97048939, 7493356], [18735514, 46317951], [70313855, 1982102], [54988329, 79966597], [178700, 50009169], [50044868, 2509805], [96901694, 45979744], [52025338, 63694596], [36282639, 24020455], [41737212, 77615889], [82157534, 79234044], [63075607, 83044629], [17403457, 14848058], [73493994, 5717875], [902148, 94181959], [71072694, 45926397], [1848675, 55362026], [21108206, 94165461], [48938565, 14859701], [28363093, 9667314], [97649057, 44497213], [7132263, 53849356], [71530788, 44884105], [50949739, 65705678], [85731231, 22807758], [54363062, 21766035], [67746949, 5448769], [61427501, 4963147], [48530251, 88225458], [4295255, 53523557], [31588106, 71063292], [7325718, 37271668], [45140960, 72395923], [79827240, 8383336], [31043336, 64991580], [69684638, 52269595], [4256991, 20579648], [17343711, 30905435], [72363577, 72875136], [21498545, 12921220], [35415442, 63259930], [93201737, 20148305], [44914160, 34336093], [81433194, 46039598], [13130426, 34161003], [80540752, 6936152], [74619141, 12321156], [927431, 78048283], [88918147, 43453305], [29379760, 31987515], [56194728, 83723240], [87166745, 28864369], [36846675, 42250293], [48015599, 37699462], [13320157, 76836692], [1886008, 87749728], [97841796, 70394149], [65095011, 52991581], [45786863, 11198196], [81395640, 72619149], [66199131, 17612564], [18755613, 57560156], [1748180, 15350356], [14138318, 92743153], [8607881, 99572467], [76829297, 1394134], [76780277, 19809076], [6997208, 887849], [51538384, 36191168], [79276460, 40616358], [92034567, 83745099], [88830790, 98946886], [74458136, 79396605], [86943704, 72095327], [15010193, 74414064], [23596690, 23370960], [48511600, 27599945], [55231175, 11078193], [16898162, 1921478], [19036624, 43844650], [19299596, 3810320], [91224374, 83957766], [80675377, 6634983], [61133966, 83040095], [39943009, 65542858], [66475163, 12245164], [73637246, 74284452], [96679141, 66363340], [61460511, 75635594], [84785467, 53842609], [76731117, 31139372], [3732800, 83736895], [66934586, 39605462], [6469432, 14202803], [6405588, 62459749], [91178245, 36933840], [5328525, 80598594], [20540491, 1562065], [69939945, 59305797], [22375487, 79487237], [62141074, 18852610], [64559460, 67021985], [18345485, 18942982], [62031523, 67570044], [72370910, 75832832], [22231428, 82300152], [19557217, 16588141], [18325222, 78966880], [18532929, 17598631], [70201602, 21930474], [44398197, 69806122], [27767608, 7575229], [49354092, 65977358], [52158406, 89434528], [42610553, 35217253], [96833810, 1781337], [89477198, 93753790], [68601673, 88930896], [20859961, 2693799], [97853221, 28659100], [22851344, 72960817], [73804148, 65120296], [90714314, 48501285], [66123790, 45458787], [39416422, 82029582], [20480889, 26030141], [76809867, 86780140], [75183674, 46032975], [72523887, 31788654], [52027541, 3954131], [64464681, 45577989], [46582060, 15816375], [75620885, 69914836], [3349625, 88177709], [34755436, 93351918], [55706058, 53155922], [83777286, 23587155], [14284465, 18041383], [83843073, 89236979], [25488479, 17250320], [90632883, 32945340], [84894587, 69009605], [69251702, 88501561], [28612343, 95548889], [90687249, 63525017], [1139728, 50124349], [94896437, 11604725], [64560475, 77355600], [25851335, 17601759], [15358472, 51007258], [53425069, 45049523], [2211617, 70913898], [40699384, 79019897], [47926543, 71248519], [3568219, 85494033], [79024920, 86900352], [10177920, 34865123], [82670596, 81013414], [33739196, 93787556], [5356836, 49626877], [85525980, 26107609], [90698042, 6401501], [18365574, 43619727], [16738278, 25875174], [98258833, 12925993], [48209930, 40255339], [22710780, 3748951], [43434251, 56034452], [61297840, 99831872], [62758236, 26452926], [9460990, 35828717], [54419937, 86504512], [70851693, 59409515], [24640681, 78461190], [50581932, 30686280], [69185666, 19049908], [44230401, 51407033], [63613305, 3739235], [7764096, 3011927], [32282852, 21638890], [20062250, 38622881], [53330496, 44572893], [39254633, 68921699], [73622862, 22342384], [6946121, 12607402], [51211300, 10044221], [24497687, 52304183], [61355299, 2945373], [67253778, 94565756], [88383221, 54373368], [5186461, 78165187], [16866300, 24107213], [88132927, 44585071], [42612109, 39984606], [60236404, 37702556], [14081932, 91791867], [1417179, 67330758], [90326563, 58307226], [1975816, 73621985], [58506057, 3504043], [60197340, 84173255], [83863159, 68599989], [27722001, 83496136], [94678255, 66477626], [73706831, 94159064], [99805725, 85363216], [59276548, 80857384], [68686576, 80602939], [88713399, 58484076], [57229617, 57869186], [52029517, 91324733], [22547831, 42542993], [94760364, 91345181], [50300419, 58414028], [15093409, 68926982], [11092291, 5244654], [93831169, 43797189], [19783837, 74728745], [27186472, 97588867], [89656054, 38210364], [28746907, 60692493], [23440360, 76982361], [12435379, 18630099], [20667683, 83634822], [81798523, 82846321], [52895455, 36044015], [90046330, 87120465], [87315459, 90881034], [80782570, 7883806], [46259294, 32109637], [80988482, 63593059], [22944683, 68347726], [72139523, 39737416], [29187698, 6141522], [53023219, 95546815], [86648437, 73046914], [32369246, 19973548], [59530561, 27610220], [72057765, 86338398], [58347670, 99006229], [36669184, 62754471], [21785130, 75669034], [11011197, 75453762], [37337703, 95381597], [7465133, 81454353], [63168095, 72707244], [23541594, 22972528], [86740184, 51330348], [20921140, 67056895], [45419088, 88058220], [72598539, 5596550], [65356856, 70721235], [6049506, 53308003], [55555011, 12706328], [84490573, 92673719], [45276661, 16643075], [53726424, 67306805], [61295333, 2796131], [30026792, 8518336], [28966108, 19266176], [32209656, 20130471], [57735177, 56662500], [74878540, 62624972], [72824700, 3958580], [47973572, 57279629], [96922084, 34447459], [59776938, 48881608], [30079407, 74419091], [41131230, 49345764], [14913366, 42782458], [64136452, 52541659], [63859828, 88521047], [47966543, 94926553], [10422605, 67691487], [41690329, 77926696], [97957580, 10068404], [58315804, 95787510], [25461931, 84566148], [51456491, 71480438], [20267578, 44266743], [56772042, 66116470], [64071461, 65836660], [52106038, 99070948], [98330318, 2993881], [84614430, 52620720], [53317068, 12004298], [42232045, 72410711], [97493875, 54725804], [44679887, 49482376], [61007697, 16773447], [78842171, 5538954], [39198545, 55162467], [1345938, 44386828], [63482940, 41190308], [38638795, 83879491], [87581836, 80872792], [47935066, 37390831], [61702303, 10897835], [9485710, 92588688], [10373034, 74435700], [96031388, 77745935], [74119367, 27690201], [24042577, 94393453], [66149335, 42447831], [14755382, 42019172], [86411589, 97069605], [80877169, 26721077], [82698027, 278169], [23009785, 77218407], [24536051, 25489417], [76316699, 82482965], [45351341, 4275344], [32723231, 42409503], [39018759, 51494447], [80047012, 24314773], [52615351, 18496507], [78852572, 13389803], [52071754, 17258692], [65223597, 78901973], [63173671, 94021543], [57717845, 81526459], [3777849, 83539721], [230984, 80108479], [79837059, 33841251], [48894108, 70715457], [11396650, 24468610], [61150157, 74208064], [37040060, 2568717], [24506766, 54972038], [61788006, 83988072], [34682665, 84342464], [25163485, 88801988], [46832989, 95371423], [46993104, 16222435], [7783235, 29726230], [56665149, 69285338], [38801926, 11554915], [18923213, 38108500], [24276011, 29740595], [75552807, 95183196], [59682133, 66748700], [39369993, 20169239], [1529252, 6021243], [61811706, 78333540], [80548951, 56471949], [64725154, 7762949], [49686549, 94093555], [25229372, 36506652], [84582937, 24645599], [84526962, 66494554], [19269863, 59222417], [29975237, 12070078], [68367951, 1812325], [40297757, 56841453], [73766261, 44705387], [62810654, 67749446], [837896, 95640119], [46089622, 46947158], [38171060, 52170391], [92524623, 48350723], [66183846, 57967368], [85675089, 13047597], [38644837, 44490492], [22885726, 74912805], [92129039, 88418369], [7597193, 47895541], [27883875, 80617739], [18085547, 79396249], [78693900, 75075268], [6001623, 98737126], [45933231, 30004615], [72144268, 76945294], [1534942, 29591559], [10868200, 60713807], [95126933, 12539811], [81547493, 59992396], [11843715, 47292989], [7248123, 75831734], [29582364, 30258119], [77037680, 95985295], [16885191, 11326404], [45905745, 36656228], [26777581, 23581621], [32055774, 67518453], [83261708, 13789005], [482520, 46749996], [47541025, 62237348], [36128165, 17038323], [69169631, 32173079], [42698726, 34232996], [24110017, 40340630], [96560439, 15774505], [24622371, 13438031], [45027658, 43766976], [90610431, 74811318], [50756345, 3506915], [89920944, 6859139], [5601034, 6422721], [90467044, 8148764], [75813250, 32724728], [78539227, 84725676], [11856517, 61131412], [42858951, 20884141], [79191343, 95907243], [73642246, 71514670], [9411577, 18907088], [39807202, 49201972], [58834613, 17755345], [95025910, 23452681], [2791604, 25678953], [28306063, 21804946], [21661417, 49912017], [29869075, 98776034], [6943317, 21658023], [62213496, 99938593], [41442680, 57543079], [63361558, 79370929], [77469779, 35727338], [75658920, 10169312], [45767619, 81198287], [46589226, 6839519], [61678749, 90661119], [53335636, 67455512], [7143772, 46566923], [17606559, 73284705], [93455223, 8457388], [39992505, 47528602], [26991707, 20813320], [69967678, 45383366], [85939793, 10587939], [67768920, 53499953], [71863693, 6316967], [10958, 43979850], [98094218, 32249639], [57798478, 93243047], [71644923, 49202041], [55981539, 80933503], [11931612, 43930033], [45087265, 25772820], [39687680, 83234859], [70384571, 59289755], [3739884, 59670733], [4403435, 6604084], [6611800, 40551489], [58014331, 68817725], [66930304, 87010548], [57227958, 93582033], [19817697, 62453129], [70380568, 56273248], [20086423, 54105488], [66846137, 70273894], [42408659, 89933394], [24659267, 92959329], [16831853, 25010969], [90710189, 96132177], [41467676, 60945821], [29384761, 77994127], [23735958, 26901661], [76391002, 2010294], [35094151, 66804766], [14241263, 86236149], [26497960, 35407906], [17024544, 67964826], [96464808, 70871412], [9951236, 86700553], [68974332, 50115776], [68778741, 66209968], [91683531, 73113780], [55058878, 17695921], [82793014, 17153484], [99920313, 22271702], [7441725, 46831325], [40657208, 24731909], [90657326, 77269087], [37331955, 29768325], [64851603, 37309387], [63921171, 77776932], [38142491, 60850386], [91360405, 13513584], [9439188, 20329677], [316129, 73562327], [49252496, 43595447], [45389836, 40541934], [91470726, 96329554], [12408286, 85303445], [52673360, 61414340], [82512517, 5413685], [36824719, 23280719], [50208079, 58624249], [11141672, 9282859], [93360177, 84533594], [96189037, 74390886], [13475832, 21013358], [16170583, 58441644], [55457508, 56987146], [87749553, 32916197], [94734630, 59963640], [1993670, 74821170], [45824208, 1662584], [81266945, 92060063], [45513585, 61235441], [7255143, 92076928], [80040304, 15836520], [77763869, 23039201], [75741877, 50062758], [77069126, 16920481], [46451142, 47362438], [31987815, 99456098], [72620802, 8228019], [27698605, 49934312], [80206933, 37165571], [36481695, 66804574], [18208504, 98787842], [40894651, 25609502], [84537537, 63492701], [97021095, 94657981], [73256816, 9685981], [42446503, 23504697], [57908276, 55257136], [75474638, 12943787], [64176814, 3116164], [30477781, 57635789], [2016894, 1567172], [31313698, 85982251], [39359802, 96591426], [94300056, 47689994], [30017024, 86934156], [39675572, 41200687], [76220995, 50852642], [65346577, 64371159], [65470929, 18768173], [25522946, 3358148], [1218560, 76708175], [61294427, 59133264], [83315286, 87350396], [32326605, 93155900], [70308858, 6982466], [31791553, 27792293], [11690781, 9503788], [72738716, 47114035], [90158599, 30842626], [46762960, 98749251], [87211618, 1065221], [60491916, 78791186], [69094327, 98908725], [66070281, 84792138], [5250085, 71667036], [2915802, 96500661], [34096587, 58126341], [61563015, 64705111], [57861070, 22389604], [22004701, 67088226], [17967345, 8986423], [61582336, 53885902], [54735321, 57722883], [45804970, 54946372], [38614917, 28426517], [34407109, 89474674], [94239429, 20909764], [56574249, 43764655], [34718303, 22341152], [48330758, 723148], [70991048, 58861517], [44440344, 31794581], [15547109, 74142809], [8436461, 11090591], [88196461, 17481777], [29554211, 34611112], [10895246, 32672844], [40113430, 61676241], [98444716, 14366247], [61254647, 41475283], [32932816, 4417581], [64645764, 62260644], [20759744, 28859675], [16589659, 10307700], [94406948, 33209123], [55923764, 42649031], [56641322, 89334932], [26825208, 54934959], [43260377, 86503778], [53088009, 25050237], [12284527, 2472183], [25213268, 91581673], [74019913, 15538107], [13224679, 43519108], [23818346, 85219770], [32209288, 38146197], [81429104, 26551404], [19612594, 14126093], [67100377, 24441228], [12604038, 76999678], [28809535, 17418416], [80921667, 79402605], [77402724, 74635312], [19307426, 50964664], [80615164, 40130701], [66257325, 98385424], [60143375, 49084725], [81407659, 47832920], [53039103, 26980108], [74965644, 75520921], [66266773, 72064177], [2372725, 66475066], [66486272, 41266710], [13858069, 65060307], [89348624, 1130330], [6195411, 48337535], [24953204, 29351535], [85648086, 94994416], [82373745, 84540337], [69839690, 381102], [49481828, 25612859], [26333726, 17878831], [33737008, 34425751], [66622784, 73584089], [27206019, 56301333], [97580536, 52388866], [21576190, 28216731], [31423448, 44992143], [18690922, 96677300], [13683818, 70926412], [27274633, 26195422], [52166821, 9798700], [29752828, 80259074], [604460, 94638311], [20641774, 46826622], [55515736, 71265322], [35129941, 71180021], [64830397, 11984332], [93452100, 55526051], [43194858, 59360934], [24502950, 94904985], [25907399, 68361554], [1459541, 14952941], [41531592, 2176286], [44366121, 20390453], [52910206, 55685061], [15855207, 50547508], [53951778, 52131155], [28715708, 74190641], [64139854, 73784375], [11998301, 7813668], [85206154, 16842306], [66639448, 6673888], [81252892, 29600462], [93313408, 20220165], [3760128, 16785182], [24052544, 91396446], [34941744, 90255627], [96636334, 21493675], [55246088, 54692526], [40226734, 95834717], [17687, 89759578], [71598574, 48420041], [51625554, 22336766], [490508, 20986130], [92561868, 96483452], [52192228, 58514626], [81024544, 68331251], [1901581, 31466550], [59639641, 94996372], [3150093, 36247759], [34840693, 16380408], [84331380, 70267378], [6353659, 26909850], [19438546, 15317776], [15880683, 63949838], [18822321, 46874363], [12858880, 34500403], [33534955, 2551774], [49603165, 70762195], [63559580, 38652168], [46645341, 4678951], [12443341, 40926384], [59870932, 57931472], [55681234, 20130475], [97211367, 39864519], [8175987, 71351954], [64722662, 93079719], [68658756, 46971220], [92159014, 26429871], [62409756, 33285114], [5360568, 31642874], [17057186, 33095278], [28734220, 49824868], [39838666, 58856547], [97305167, 27872833], [72364028, 16850085], [90313117, 66665623], [72309696, 64215429], [73676098, 33624045], [28245713, 80871431], [54808887, 78254036], [55207593, 23560758], [80057370, 33999691], [70365820, 67985705], [27375764, 90311893], [27106537, 74705586], [65477664, 53069283], [5312260, 18137950], [21598479, 95419219], [93447023, 63755253], [85776962, 66776150], [47805117, 78880238], [34724166, 73256289], [13340284, 49960427], [21327859, 69614407], [58290386, 6627351], [5009459, 63988625], [97493560, 51542290], [94011044, 78369943], [10939315, 295549], [24567690, 34248775], [44416943, 71283852], [32727938, 32980955], [188120, 25746515], [25780041, 90395192], [34638388, 27921349], [98064244, 63820857], [11158811, 53887043], [4269515, 14662106], [64079078, 13170759], [57918228, 22707674], [82908914, 783628], [56505110, 91052617], [12108152, 22224760], [45203881, 61257231], [79212129, 4497165], [21268697, 59475083], [18819693, 95283674], [18791040, 6096654], [5870717, 19692973], [11267266, 24941586], [63658476, 2065411], [35726133, 18317777], [96586891, 99019173], [65656488, 90558960], [15547483, 31757701], [85676560, 77515890], [61348463, 38027794], [18732851, 20935968], [14712726, 15681902], [85167432, 91818203], [53955470, 88274152], [99154531, 6246004], [10671773, 10246019], [52359673, 92081980], [49548983, 98760992], [8490667, 40907651], [98486872, 44614724], [31165786, 47721122], [18383802, 36290431], [97909772, 39703187], [8218208, 85856259], [81992029, 74299502], [3612489, 42252982], [36860288, 31336513], [39571091, 94002758], [31370170, 16871474], [74215376, 38285212], [588947, 35312379], [13057146, 11098314], [79633293, 54476641], [36565230, 18811350], [44792061, 36056993], [25232167, 12836543], [23364465, 47286445], [77188867, 7309199], [96702032, 60005390], [68195923, 74400537], [71914983, 23210574], [8805393, 79112441], [98762363, 55688214], [27370420, 1627721], [95991217, 4221404], [49799509, 34019680], [44681582, 7763969], [98532765, 37586819], [94555198, 69350453], [30976407, 13335011], [53463472, 7011607], [9513137, 64383151], [94568126, 20444370], [40877329, 72461091], [34737556, 74805676], [32886147, 14739941], [14648976, 7103138], [66289858, 37094465], [2189561, 68292174], [74332194, 90278922], [21047859, 66930553], [13949563, 89511635], [1754029, 27128459], [23616239, 21256182], [10182214, 43674755], [73003682, 62054723], [83648095, 42102187], [4657159, 52639423], [60901466, 59646291], [22361844, 24586631], [25768966, 6192099], [68048534, 72358549], [58846357, 60030986], [71025239, 93131845], [36873139, 21469275], [67105093, 45787457], [27207608, 66766643], [9142830, 17188765], [84405785, 5506779], [76088096, 82528010], [79082444, 57625155], [14762618, 11924942], [54382733, 24059835], [66069913, 25600509], [36798182, 16598069], [96319307, 25738073], [52204675, 67119240], [69915698, 41778361], [75679454, 8620902], [82420905, 87343228], [21510652, 27921431], [56242162, 95593279], [87055316, 96665798], [44276656, 40181348], [5275464, 20374454], [16685558, 722070], [76435155, 60089736], [64621079, 68586105], [98204086, 84187336], [22312710, 84835572], [74654031, 4206002], [74435307, 90283484], [35732640, 11447873], [93099517, 29285786], [12784022, 86003435], [49740443, 39238519], [13498328, 89311025], [93323318, 33583499], [13536026, 48936189], [46420195, 95547531], [45141546, 11874127], [42682382, 77902806], [33036454, 17254785], [77763086, 10714486], [3783965, 56294937], [20573501, 25881934], [89460120, 74283743], [44543132, 69532203], [87666615, 96107506], [11801092, 40356873], [36599184, 15417048], [9085665, 6567456], [42258211, 74546014], [17559369, 12386697], [49186829, 42837011], [85354313, 66591909], [91875737, 50331150], [22212275, 37481965], [52214280, 21863587], [61555073, 45541013], [3765693, 34710843], [90277840, 659264], [17486633, 81357842], [38146076, 699989], [83196187, 70740169], [56559254, 82172444], [89132880, 13741222], [32045104, 28278979], [90095964, 68480448], [80594283, 45260245], [42905266, 64582132], [5021102, 36631215], [29030413, 70849379], [74634940, 94023620], [88938670, 3835756], [46493218, 33465952], [8058293, 82581571], [58197697, 1383302], [14104224, 35575347], [46561659, 92259820], [59067165, 6412345], [64190543, 51713262], [26062670, 95845237], [77549811, 57653063], [62081058, 34976238], [69488801, 11314658], [54067464, 79002912], [24592649, 5059999], [99498577, 27780102], [32233606, 476526], [69345017, 84806022], [89532076, 2417532], [80663589, 74386494], [2729346, 21876742], [98781052, 70964304], [42081362, 89894055], [24104664, 16625602], [53883533, 36135827], [87327284, 98995268], [23890084, 18726748], [4772862, 61735581], [36747097, 20543426], [17790060, 72833062], [71420187, 25161823], [19691995, 8956255], [5226199, 81614489], [65678680, 83304949], [11984263, 24362599], [56485102, 58935287], [81779317, 72712428], [31380457, 37764868], [75189183, 41244361], [79657555, 66799971], [51711965, 45015814], [8005046, 76843833], [25276328, 90363521], [62919624, 42187256], [48527988, 62760825], [70296601, 7316003], [93126309, 32966136], [38447910, 7100901], [28741728, 17685618], [27000223, 21711118], [75990976, 38524198], [69711261, 49486032], [48390633, 51638403], [77054901, 20848999], [92441036, 49804254], [82855051, 37548743], [47254426, 7627688], [89135082, 50180924], [456896, 21259867], [19727883, 46604376], [13397700, 14980585], [61040369, 7390628], [33230122, 40345858], [43524712, 68618991], [99738248, 74276528], [31607605, 2726828], [46517925, 272840], [208226, 41040258], [26485466, 3675427], [75727937, 59766855], [19741378, 32416280], [49465241, 18857341], [40638589, 83870282], [91819658, 52614269], [42311086, 24130829], [2330949, 94596468], [68839474, 4245806], [8814670, 22029728], [78095276, 47175627], [25222363, 25199083], [40058898, 29529449], [26800676, 91122851], [19783699, 97275277], [1648700, 76778709], [5296652, 34606238], [85587349, 90366160], [43100083, 99323066], [20473894, 88103977], [43180648, 2219401], [76572260, 97215317], [84782588, 80316732], [4823505, 24782821], [7999658, 27428237], [61068850, 25660837], [71392640, 8930200], [91644484, 89048951], [28140247, 17243911], [73789624, 14776541], [25859854, 2745947], [83084600, 8933511], [93738143, 90431080], [88424371, 94595051], [31514192, 50961057], [96056161, 69883703], [3758518, 55278975], [98852140, 54130755], [36550658, 36376417], [31318832, 782338], [80892868, 72619082], [62741418, 99660783], [6529024, 55288209], [93271763, 37351591], [5231939, 27003849], [83688239, 51999389], [53572895, 407725], [48907666, 60973535], [21764166, 37269070], [9734575, 63672880], [85157303, 98951974], [22712967, 17209365], [26677711, 28365726], [41207219, 27302884], [65509014, 26237980], [93044788, 93975714], [1569016, 58941581], [77676068, 67341276], [30382783, 59780534], [13845380, 73803000], [44247428, 26432839], [30872434, 91383680], [11369687, 28898593], [61381356, 7104938], [22966059, 46842115], [86071571, 61181219], [39275614, 53630307], [60852743, 80677605], [63337221, 13986519], [34342745, 75811215], [46897132, 63286694], [62938749, 204867], [14023564, 37199586], [54392271, 80925586], [2977566, 70993386], [12034419, 92015604], [65902648, 65012626], [49899784, 82571927], [75434929, 83350369], [13246251, 97079084], [46809122, 39146364], [40938297, 72574369], [30130629, 37979797], [60042630, 18847065], [73613054, 47503858], [30435806, 95124777], [82473532, 83951513], [90077326, 72332207], [78850096, 21204945], [94107953, 83769113], [24084758, 31594086], [66720964, 47091094], [65752353, 52332932], [50434479, 20005424], [40556320, 74914871], [69721913, 51110007], [18031054, 97628988], [48921910, 14529610], [55210682, 48995541], [76936189, 69594437], [787329, 81105426], [44744003, 4164211], [79886266, 72822638], [48938928, 80799440], [2067804, 28215610], [69743130, 41217783], [53709194, 51038143], [20771939, 37428785], [69270198, 19733454], [54653231, 56051254], [27083823, 48506683], [34285919, 58927630], [29612605, 29178394], [11347901, 7725257], [87481533, 11076021], [44547898, 5416976], [66334183, 83518881], [5333084, 64139727], [17486713, 81353535], [61306390, 38011959], [5011167, 6119551], [60922014, 72803511], [52989953, 28391548], [23178706, 95301525], [52812569, 25391063], [61871696, 69207745], [91157919, 54001018], [9758093, 24994014], [63483288, 11709327], [29907526, 18916105], [93214936, 19917807], [83520512, 1556603], [87779185, 8412419], [96189121, 34038364], [60452754, 39818571], [15076045, 91250206], [88381534, 83847089], [23203561, 41104333], [20254141, 60117703], [63320969, 38525072], [24996911, 72623306], [82868202, 78511851], [5023781, 1780795], [70601075, 35012703], [72635715, 23854542], [8039578, 76458027], [77039588, 71022278], [31341444, 20318455], [4413841, 78181084], [41803578, 12193642], [82252355, 56581073], [31009213, 17455621], [77033943, 35315417], [3479890, 53365501], [93461688, 76145395], [48336786, 46015957], [10355210, 53144288], [96291782, 16041414], [9571219, 67941332], [85519626, 59360677], [75914908, 16383944], [10090025, 54156690], [48834725, 89922647], [50965609, 65520097], [63326788, 54539323], [46548825, 44975140], [39080209, 50563852], [30544723, 18676985], [63354502, 49526208], [49619246, 63828069], [95064635, 15705543], [63113425, 45285869], [64264223, 91355911], [13180959, 50820438], [60965323, 78924880], [52322078, 93821786], [39479082, 49508006], [11635539, 68165541], [84140506, 88389483], [50687930, 32327466], [53240709, 10669810], [30578991, 80102213], [69877763, 27336947], [10903871, 16818957], [30080849, 52944289], [50671334, 81517945], [83327723, 87731797], [55571981, 20380572], [880371, 53959285], [8341435, 56444381], [37890382, 23152104], [40644374, 71881498], [78736817, 44999939], [70202355, 33879973], [12178999, 69395622], [23474674, 42840840], [10668445, 76574129], [79696193, 28538711], [87597040, 44843658], [46704050, 38976094], [21550348, 41890878], [25531623, 23661445], [11631293, 47617877], [13540664, 93645785], [25128102, 31401994], [28462463, 73924056], [66782867, 25571593], [51246525, 16884919], [67086542, 88942194], [51899121, 9334352], [54703642, 45674848], [12483264, 69659776], [87926716, 50374443], [62268458, 1117332], [74714586, 62333779], [78289519, 20551910], [68561288, 68856446], [31289802, 23896977], [3124933, 58330823], [82388117, 37804591], [46818002, 6564807], [10235954, 42051655], [71646555, 71493527], [17900098, 95268614], [91801399, 77665531], [68465048, 58680122], [22721379, 2097277], [46320751, 6571590], [2194354, 80512038], [30778515, 31612761], [7238661, 65927424], [79797557, 87299841], [94930159, 83873878], [43616730, 16910605], [28769167, 2310950], [50959518, 58699922], [52694250, 19798977], [85499892, 83301495], [50245110, 29362280], [90196750, 68788935], [28878330, 58592766], [1465006, 83904148], [5084512, 43153432], [27971086, 69271637], [72692804, 63173005], [71790387, 54903192], [2213381, 18506317], [54251542, 86423652], [30282102, 73357083], [13522639, 55956395], [35582697, 55199788], [91709809, 46424066], [19807209, 3228345], [82917994, 61891924], [4938303, 5542692], [45090365, 50167821], [19127893, 24507566], [69540632, 86015309], [14882376, 34887485], [73630146, 46549263], [63667879, 12613477], [53084596, 22357241], [28684052, 21969637], [93776481, 53047828], [53681873, 77137600], [86528524, 78482755], [49880567, 92207881], [89712948, 73302577], [84887634, 93705203], [62120247, 30191685], [79222414, 22793479], [90854056, 35141322], [10577777, 39263961], [85635225, 15620367], [27689234, 36835789], [86774127, 38186266], [39547119, 39489083], [76958198, 91066623], [62693165, 51808189], [97883600, 54741500], [78935534, 31877190], [75902997, 71615089], [94002015, 97484146], [57803530, 71612244], [84136225, 37522643], [90386564, 31163849], [95501173, 10400325], [28161215, 54732097], [14924764, 93323102], [44049556, 1929682], [43898078, 82142654], [69647812, 54105913], [90184127, 97382948], [82332926, 11149899], [94054559, 5209581], [23513768, 72818114], [70640285, 33607943], [72276773, 77218829], [4861873, 76015391], [3197066, 27888198], [78134605, 58031786], [14312763, 63658537], [95951451, 53961977], [17582575, 58794389], [38275976, 27541604], [71136740, 72710582], [24275852, 86020548], [28418832, 99966792], [96647042, 71016164], [88996798, 29347835], [59545494, 69030390], [51165036, 80518133], [17918707, 5095836], [25410139, 46210558], [91346255, 2702140], [4125369, 89801812], [87229991, 12594412], [98005173, 64355669], [33732727, 77057813], [23592294, 2005012], [2108608, 29451095], [42723749, 18331916], [43081683, 94246565], [88502827, 16182072], [89474136, 28226037], [14313630, 78541100], [42778754, 42709003], [13034777, 98359357], [4516894, 12189906], [75863820, 64570344], [30608681, 12305475], [96833970, 28595942], [93028548, 53589919], [57408770, 60447623], [30324890, 55059753], [97123068, 8123269], [54621144, 45381350], [53237803, 67358812], [64464448, 38290993], [60043404, 32925758], [22663806, 32574839], [83739943, 28907380], [92886225, 31143655], [83527201, 8004080], [11663649, 71104682], [35450825, 86949213], [41274652, 8856311], [67568302, 45901296], [50617154, 33081803], [22790592, 87534176], [10737289, 46226089], [90762656, 31431600], [23023955, 58393360], [46416323, 98801727], [56148105, 75275712], [21950880, 8385302], [39265613, 7297750], [40575438, 71545844], [79530213, 40035532], [1986469, 94145953], [67817853, 69059467], [74915656, 55673562], [19324517, 13976544], [70757536, 97543226], [40811098, 62077901], [28500031, 2189589], [83823914, 90359222], [30830848, 47366164], [60321205, 23719999], [39591052, 41783330], [89728244, 26546365], [97720581, 61559845], [79828742, 42143547], [5147746, 63396993], [51525409, 37045578], [33343048, 90389867], [36237312, 94882760], [48770203, 61505093], [57153969, 85362984], [45170245, 94928443], [3327218, 36357728], [91609747, 7203694], [77114972, 79193054], [91429284, 89891636], [51205870, 64817025], [6938177, 5602569], [23720010, 57099282], [17213711, 1971463], [40584685, 78486245], [88969960, 26794371], [20863396, 2070645], [36081663, 32815038], [72321197, 58925144], [32030030, 88434481], [93657942, 77401488], [1899322, 70640394], [84303916, 68664709], [2841401, 97494426], [70485731, 63890143], [46900397, 7090266], [89844953, 95020075], [40415243, 40580229], [19383886, 84789736], [59160301, 9646816], [63537756, 18465607], [3195808, 83526649], [13398101, 38957397], [47215374, 31090847], [58899960, 59973540], [13216631, 82018477], [86280541, 27846437], [23311162, 17394629], [56989615, 87244868], [36392204, 12869866], [17405295, 38727234], [88131159, 31201287], [80468622, 30912056], [41825511, 34449784], [45149066, 9406115], [17863900, 29686269], [41730902, 27521277], [13696134, 98494763], [55385714, 77009404], [44319305, 59443827], [69398140, 90691048], [39666396, 58362893], [86696046, 40600813], [78329719, 69681951], [7808758, 26213161], [40574768, 98356765], [13563738, 89859842], [27941714, 13933026], [25734097, 4304462], [84930075, 41736762], [51046516, 2103129], [43486718, 13472208], [41169101, 29777065], [75354865, 34179828], [76573265, 39473090], [83771971, 54047689], [26520815, 66195352], [1966850, 44997595], [90898037, 22682971], [1323387, 21481190], [9947734, 42408197], [83397455, 3657626], [20384822, 13035305], [76103118, 46056714], [92138583, 51134063], [17695762, 49596568], [76062679, 19915364], [72163154, 63527955], [84199248, 68332246], [6272129, 72529532], [59623065, 12795201], [79923713, 26059972], [67865880, 47575714], [53553858, 31277135], [2223290, 96742106], [54941766, 45594070], [60853251, 3979589], [4346601, 82015301], [21158919, 55251680], [15599571, 42817075], [56932694, 21042710], [27869103, 61381660], [91072032, 44040865], [48485168, 19589030], [67225127, 80472154], [77457929, 63204981], [3902531, 60147346], [3968030, 90183552], [8592967, 93015925], [59810757, 4065290], [13550286, 89629675], [20834954, 6020310], [948765, 52158551], [96202859, 67627262], [18364300, 93322551], [4901425, 61611695], [67534252, 66627458], [53009168, 97738625], [71514862, 5881251], [48203424, 8897982], [80723564, 14905558], [26092022, 75404543], [84228936, 5814595], [31703689, 73099002], [92457756, 7516253], [99341204, 40705988], [92582742, 70665850], [62298261, 86978943], [29641993, 72757905], [56271915, 85367164], [52753368, 3841874], [97196513, 54644186], [66358788, 81396760], [99393732, 51520188], [89350847, 78104151], [86305315, 16421801], [32623281, 60618458], [49124847, 77828507], [45665804, 98853787], [80756320, 52705535], [64925438, 23655107], [92796837, 11848975], [4345218, 3342223], [53773923, 86797530], [95119448, 99300951], [52081052, 79539333], [83265492, 94722672], [48035352, 55613545], [17338732, 59268333], [89791012, 68000864], [16803694, 69367801], [92153189, 61333917], [45300607, 5067753], [42817675, 50783434], [84930187, 52399771], [9573122, 7868842], [2427926, 45489636], [50870541, 11535584], [32106504, 64424868], [54511712, 48226083], [73521355, 71690540], [61368046, 28161124], [31321102, 20212821], [34092252, 37762072], [55541322, 70167804], [42594005, 24934700], [69658346, 40441664], [15158425, 37152759], [24553109, 26780750], [71309581, 59121883], [29154552, 2913736], [32087420, 15348259], [54722805, 92717402], [74801885, 38694643], [55424728, 60785449], [72465287, 868351], [3955723, 56033265], [47305022, 34161352], [81573666, 26666176], [72716247, 15575930], [74025097, 70117969], [79039161, 19828878], [65423917, 84735052], [77337029, 32143568], [95374493, 84181961], [364121, 88872626], [36972235, 71321644], [27875960, 39310379], [24534763, 91386025], [8329496, 52330263], [41541446, 40864330], [16142059, 25806813], [79412566, 46224038], [50519512, 54194601], [43970269, 74066474], [25059154, 78609857], [57335483, 12548534], [28160414, 65619603], [20534474, 31815948], [88865931, 47843781], [15663197, 93845608], [66819621, 5102239], [47429004, 18071717], [47452638, 42291905], [38554410, 33681000], [4302894, 16758438], [39410188, 56388327], [26055270, 35466851], [10816616, 26415931], [94588356, 63917081], [37862031, 42580472], [2049992, 98371959], [2455663, 13188403], [13166019, 64147850], [13025352, 17831847], [50307776, 19167977], [6387202, 84439683], [21353584, 87701131], [30115134, 55353521], [57735845, 36234292], [22933325, 39562535], [48873331, 20511604], [88204125, 61325110], [22376919, 49139114], [81770186, 40890810], [8380832, 75534161], [95306790, 85167816], [55883154, 31488588], [66183919, 79762985], [52065496, 72858996], [98342481, 1201770], [83243771, 93137960], [6735544, 60899245], [51278280, 63596167], [6871834, 29684533], [25563707, 89171860], [15235705, 59588894], [34166962, 72159984], [9565957, 16716292], [36753047, 10744495], [73372382, 10527490], [91813083, 60688489], [34213902, 51730670], [39828988, 8865228], [56597348, 33493646], [19444808, 22607223], [94059332, 34233315], [7968331, 72411761], [95692840, 65416122], [19524715, 6867444], [27909456, 15259676], [64174947, 14837342], [75165070, 49033345], [16405542, 60626155], [58724818, 57671630], [51754297, 60790188], [5778613, 3536255], [57406145, 93070448], [30850397, 61275497], [60356004, 73514924], [93968785, 52473484], [88751421, 58280540], [23145829, 61920770], [98235126, 61911974], [76032774, 92435972], [17582603, 98754821], [93404859, 61905813], [6544781, 41000299], [65401710, 60135752], [99752918, 66235336], [114612, 26919826], [11265667, 16559880], [54142144, 27192968], [7492747, 43860189], [80879080, 9505846], [88009659, 3973813], [37777534, 53655344], [81541446, 97279095], [5236408, 25185657], [26245816, 49539799], [53585818, 26028066], [67925626, 63964406], [91320633, 91976855], [46861932, 41229695], [22012886, 1280792], [75486053, 66022810], [2843565, 8154221], [98174901, 19558932], [87021175, 85629502], [31620944, 92345966], [9688416, 85949867], [36055282, 62680279], [68925010, 81336742], [31881024, 78316623], [15625824, 19672831], [76250189, 1995559], [7227786, 2639802], [85056582, 14372079], [66219184, 44042504], [12147022, 43794411], [81311595, 96085917], [77330283, 13162269], [79692462, 45502341], [54408934, 5059670], [64602149, 57438761], [77981491, 92382454], [97264595, 71854856], [46922188, 45391136], [84014015, 43339107], [93391421, 64929060], [78040581, 67911472], [34342857, 70531047], [97569514, 19854605], [463239, 48329547], [43416667, 52525489], [92035663, 23722959], [23762107, 57387707], [75775412, 63835413], [24037640, 38675564], [77777499, 91184771], [93862291, 39041327], [19383509, 41202986], [6275344, 66068689], [66974756, 74319604], [44106977, 10212549], [13049229, 79196358], [23294913, 10981505], [96357396, 88862809], [9629871, 15671293], [21398630, 5500670], [38589694, 87490282], [48029351, 28350943], [37545113, 33947621], [66203586, 58102595], [52549249, 64320150], [60496805, 19401883], [52931383, 82755857], [87888260, 67350364], [38913966, 11969136], [72815753, 18023783], [51953735, 15320990], [58998338, 30656278], [60030525, 19827288], [8735718, 43952460], [83564746, 77089057], [10048947, 53859167], [29391658, 71420308], [59333007, 45091423], [13031432, 72877345], [55672028, 62105011], [41261327, 19165879], [72096848, 62627970], [80501160, 81093471], [1621341, 92462276], [43897991, 49211632], [99259871, 2835253], [847815, 66663649], [2813395, 63437501], [59771854, 43068352], [71278077, 56271616], [95608003, 64764754], [36711761, 75002431], [31403107, 14505996], [79556897, 46150888], [8433172, 99807047], [17245529, 2543488], [79903865, 56755804], [81204771, 8108587], [40971371, 67218397], [38278306, 77208372], [65590445, 37705658], [11199904, 63942689], [99162006, 35382902], [65739912, 27047358], [47677978, 4070720], [77621064, 57599739], [79448734, 16313673], [844069, 73416549], [76207549, 5221914], [78469392, 9842177], [65642661, 21329154], [65786275, 31113979], [70283340, 14648229], [77496427, 77005410], [29989981, 40918473], [39187079, 98387943], [69852433, 40960132], [61908005, 75594466], [96540548, 84722506], [42678167, 67665693], [21766433, 20876942], [91105192, 54079004], [63991698, 35233181], [71896038, 70287890], [15870608, 78739544], [18205882, 58722970], [9228562, 16895763], [91770290, 22374877], [25232262, 79352183], [73787488, 12051230], [23698279, 26355011], [52119411, 10590623], [78870132, 91348998], [94563737, 81096038], [15575610, 48269545], [44462589, 42168831], [32798653, 88309317], [5067835, 98932683], [93887768, 93980436], [97097341, 56574660], [36956964, 48910021], [93534766, 78272472], [1963438, 4456415], [77751840, 94691874], [74198490, 34575421], [16416832, 7302759], [27415168, 54998271], [44367968, 38926055], [54557289, 72070879], [20449635, 33662969], [92597984, 5272506], [10667080, 50810451], [98007921, 35770770], [81970730, 88387234], [93513182, 23555602], [86242944, 86158849], [96916097, 70831713], [39016501, 33185840], [14588934, 80786924], [3157226, 66124879], [54770153, 67326715], [16688820, 32862524], [21806076, 99865858], [94995586, 41029026], [53919867, 99234279], [19079272, 40938815], [73086979, 33659675], [18654819, 27429510], [1351523, 85272169], [41068002, 89038641], [44067877, 71783676], [5287021, 90952582], [25072682, 6414262], [86978928, 95660190], [96200751, 69772232], [51464501, 29725195], [96320266, 31675680], [92050392, 43746645], [37363900, 40227205], [25757112, 59647034], [74064925, 7603187], [69165627, 18614889], [82426143, 3852498], [8081848, 18649354], [47644465, 72542980], [81871477, 49728983], [48431921, 65111303], [48665003, 96941503], [92504555, 73771459], [29141042, 3149213], [98405287, 24190596], [36858317, 24166493], [64842105, 57066930], [46034681, 44807143], [7966489, 42867309], [22264127, 68211325], [82005763, 13229659], [82659990, 71809470], [50988200, 61352177], [57972836, 11703131], [99113723, 40505120], [28387293, 5202696], [96441776, 98925435], [67368648, 37429871], [6267981, 99916189], [6670635, 93686621], [46453994, 21099539], [74463442, 69253037], [92331280, 38856984], [74853014, 56547500], [33162198, 76168844], [78028895, 95342815], [61440910, 82024331], [24992473, 31580877], [33362359, 1677842], [17173430, 23253676], [2445495, 25613944], [50390248, 15819074], [23397402, 10269341], [79261628, 39430455], [83301138, 6214939], [49786804, 53872394], [23146709, 71216057], [83344087, 15161627], [98543144, 59151758], [42945977, 45106867], [84532626, 5479483], [36844790, 62171927], [54945261, 91210735], [51064311, 20049786], [99487503, 21902045], [81597901, 9665609], [91853076, 68511284], [1222475, 24429786], [93385427, 49387846], [34193671, 77023790], [18198282, 75640251], [57988849, 23743809], [46430635, 17731627], [18695252, 88768380], [45987720, 65297560], [55607204, 55084871], [99341733, 41616249], [56755667, 56038988], [93813516, 79804282], [25950414, 14907040], [82668743, 65143806], [9444370, 70215896], [58750654, 63046062], [24961892, 60670340], [67466082, 40377991], [95804483, 63514177], [99866644, 16420147], [2326461, 1712139], [1304147, 95828735], [74948251, 23758673], [67693249, 44417492], [18125352, 27596106], [12006940, 32668039], [59217053, 33763445], [58521229, 40726538], [85754278, 69550297], [86998203, 92613093], [11147209, 86267434], [63964357, 6417506], [29200813, 76991077], [53969118, 49362525], [10219842, 64998241], [37520395, 26324992], [80109726, 60662170], [17357162, 5910832], [72093501, 73483983], [31456868, 68668804], [51664745, 29215870], [15817504, 7643221], [60626388, 62306197], [51518517, 95181991], [19487220, 37673771], [98910804, 88708967], [9055112, 89274369], [93038586, 30654454], [23757048, 13461281], [92427785, 33651644], [43963041, 33744961], [52921966, 37209708], [71567658, 70232128], [88006480, 87018532], [2761671, 85989272], [89017646, 41643954], [36058139, 49048943], [33846379, 41819581], [48944325, 47606148], [41465214, 11561210], [85832079, 65373424], [55168664, 98212970], [28628478, 72636918], [17162248, 42896087], [62685194, 46107936], [75167988, 45754561], [5368317, 63467921], [10555415, 44448114], [34628746, 10391392], [65904200, 52131150], [3686707, 64385389], [95038808, 77226953], [6823046, 35636807], [96013195, 86459971], [35991176, 78596954], [78952190, 95675734], [25946851, 50510636], [22129721, 68206161], [42262625, 95176790], [68653687, 97172419], [91223327, 48803627], [8634493, 92632485], [12747606, 67843560], [89564419, 13137181], [57207017, 672531], [2509121, 24970439], [77472066, 96179059], [45393400, 9725311], [49809994, 77281326], [85715512, 60521451], [85975660, 20315118], [32477001, 77718819], [4346108, 60820845], [69913651, 71998951], [17599832, 31607016], [41458203, 49585888], [44168510, 47866599], [27610990, 3268249], [23438942, 12235187], [61473147, 51300675], [74211290, 92535418], [13952723, 43561470], [39124205, 32491867], [29148960, 16722966], [69860104, 48684349], [2533055, 81000183], [3701371, 14555656], [5712184, 26283291], [45377745, 28351608], [20123554, 80583553], [82469859, 15619118], [75891370, 81074663], [13522652, 81201174], [5836241, 14689510], [16290151, 27850174], [5102895, 69688550], [19861795, 7806935], [32081501, 65471821], [23051015, 60712595], [85890837, 39604721], [96490844, 78453397], [52085023, 698659], [65432079, 26467961], [74969871, 3896978], [37661931, 96790810], [52051482, 96886329], [84912088, 22653453], [7431261, 51022611], [28180303, 45263803], [13853486, 49574890], [58302225, 81285633], [80216744, 26675615], [4715251, 29093851], [61112374, 47756562], [3081345, 60817781], [36853870, 92686023], [70160074, 19251893], [50927279, 24435562], [70514992, 7729424], [77957091, 26041088], [61984842, 5025739], [65018823, 45524901], [82839154, 10037214], [67628793, 22042205], [70851289, 18659823], [12443789, 94266157], [50522185, 93084102], [50342009, 17614184], [33580535, 39643049], [82184057, 84696709], [77918992, 186708], [53949605, 99277530], [65128008, 88422721], [69390878, 9639876], [2197565, 53389869], [6611786, 95843658], [48847549, 54010318], [67874049, 9152339], [827550, 27326343], [39012410, 58425436], [61569827, 93005292], [25898520, 99292827], [78202958, 25900581], [60137895, 52529431], [22315672, 34162876], [2193095, 56652856], [46155858, 32238976], [48169743, 36324189], [41299840, 41597387], [27659427, 77424401], [14100184, 62237807], [97196486, 82102758], [97477943, 52562886], [90119490, 80506778], [80404151, 23552001], [12438371, 97011224], [76504122, 88283610], [71839160, 76423002], [61697668, 69446171], [63354575, 55442597], [12672913, 39869683], [73382050, 52123412], [39774042, 63199273], [63200460, 57149040], [61208943, 1055754], [74199446, 28530210], [78646345, 37655752], [69198836, 22022738], [66782958, 2976748], [54909452, 54551905], [12570784, 71217305], [38268370, 97259364], [33233816, 46905468], [27432523, 86472587], [24938631, 90739946], [49101854, 27360480], [47554352, 70007492], [88111191, 10315344], [13390298, 95616722], [60609558, 46438876], [61779360, 57277332], [45769989, 85156377], [77493736, 62700412], [95834522, 42091589], [58555877, 43149462], [15298352, 68266185], [83533236, 68462318], [42621759, 53128252], [27579915, 93353948], [17338191, 62230263], [17292223, 79958590], [18430087, 91863064], [28514603, 1021159], [66746450, 21449032], [21428347, 37800867], [97650953, 93235548], [57953909, 78913042], [23402542, 86694824], [18602996, 70223094], [17023468, 10257503], [10395296, 18705018], [63728259, 5682282], [64963585, 48593325], [25553225, 26811126], [96292320, 67060344], [64798025, 49765917], [97789039, 80559966], [63397107, 94833795], [36883964, 43325469], [43313291, 21030789], [41450891, 74055173], [16625439, 38313288], [16476650, 21046505], [41134141, 79484455], [74918433, 98335467], [18846374, 12349309], [49883952, 61173986], [10398943, 89544252], [51198463, 64427], [46422749, 70120742], [94368246, 60368467], [65984131, 10961371], [54291135, 73667973], [99655991, 577155], [27712810, 71024591], [73464671, 10484422], [45312095, 53202751], [3094748, 45228001], [4842511, 38080850], [27155127, 69495704], [45363220, 87721095], [7002498, 16401374], [39346007, 51466013], [2053136, 44566479], [29647872, 69349318], [40469767, 8231358], [40007944, 52838234], [63276784, 19087560], [61918802, 23935120], [13220800, 38591246], [92196830, 819825], [38013948, 5661501], [18550224, 9032192], [66849535, 23840584], [49833104, 35204525], [72149917, 61069192], [98408364, 28194262], [52271090, 5567692], [76566162, 52736021], [85874426, 53433287], [59760101, 30250315], [65905372, 71365160], [48777587, 49431717], [36066035, 18346200], [87707357, 5879238], [77774574, 40792026], [47650691, 82539178], [92818587, 47335236], [35012839, 54994645], [10533839, 71559386], [14141695, 78553570], [32317890, 49214294], [7345719, 44782598], [61305257, 15276271], [21685150, 51754253], [32634868, 26794332], [24240889, 60477806], [23241831, 48957572], [17321143, 95642667], [73585813, 76766964], [30039400, 99071091], [66369534, 34488361], [70724546, 49114534], [6218001, 26908066], [93190819, 83813085], [27654591, 75801758], [59709748, 37325075], [1175531, 16878089], [86527807, 32544717], [39383194, 19027307], [17114469, 44186703], [16041352, 99579821], [20206680, 23479618], [40892794, 66622181], [18018221, 80186835], [3578695, 40668353], [95668405, 64308367], [7245936, 52856680], [77946868, 22322870], [91526565, 16228992], [16067272, 15124092], [30359951, 38722603], [97660918, 34776849], [95071808, 96792686], [42416206, 93593512], [36007348, 94712514], [67676507, 33658618], [56571368, 94705104], [14728674, 93349477], [92213652, 36809736], [25798985, 77824529], [35612036, 401910], [95169186, 73295955], [68978131, 29773655], [32602024, 93753371], [58060572, 60940416], [91381497, 59167490], [79015212, 95071557], [13403692, 47956022], [78266631, 8126020], [53733939, 58499785], [41741562, 80813685], [14029399, 70294372], [14450954, 18731031], [23608205, 7046483], [90398709, 78937101], [87773015, 92896766], [2473602, 17089079], [97860673, 42427059], [52326924, 70449470], [35365215, 24187975], [19332782, 22979813], [23506378, 89471202], [40716060, 96713527], [72624223, 18014016], [70873994, 80397123], [17465385, 97169774], [21575864, 51074089], [38964150, 52751848], [71799462, 75187337], [69138043, 42722470], [54080374, 99457992], [62422182, 65777643], [13822918, 48597764], [31873211, 53531352], [28345291, 56150708], [42017186, 29730540], [33779513, 90522837], [75017043, 2963902], [38395841, 42115771], [49807598, 42484934], [64345242, 98099105], [26622083, 31243944], [33394783, 21810738], [98944008, 23966826], [87662672, 36992895], [20945269, 24839576], [61505929, 93582490], [17339650, 51679100], [18666573, 12412012], [72257430, 78493995], [31535255, 4343378], [77705788, 11181168], [85794547, 59308393], [72274495, 85518511], [33022515, 62537340], [77082945, 89814457], [38009488, 15694165], [80914933, 43580565], [77727909, 67169986], [35104226, 47436243], [47620979, 3753693], [84650788, 38249140], [43010266, 6910312], [24897619, 30472203], [8641777, 76877487], [89770076, 66126739], [3532021, 36646682], [72337994, 59773632], [20930129, 56193417], [45549487, 2279338], [30341577, 53400975], [85953842, 13945995], [26639565, 87577046], [67665239, 57426261], [48377266, 74788877], [60874588, 30744276], [62459127, 9472892], [96665566, 5506193], [41933652, 45888981], [71364274, 59460275], [86517992, 22154870], [75936244, 80789022], [2219973, 33200308], [42381791, 6334164], [66125309, 6611170], [10066834, 65181421], [64922895, 12017338], [58506631, 35785474], [86741725, 75725573], [50199650, 24748025], [8418033, 97753126], [24690331, 64360616], [63498598, 66457767], [96268818, 27151009], [46567824, 24480469], [79510369, 72398630], [31359910, 2952046], [63333311, 46631871], [9654475, 89485799], [53081285, 28228269], [61670561, 29978917], [98351597, 19630903], [4779741, 88346029], [19283532, 98839184], [13700405, 31560428], [21564960, 8780851], [75715580, 45358220], [35769339, 17364688], [34814411, 91253545], [98400426, 40422866], [7803226, 69462953], [12697551, 19889717], [12732380, 92834421], [35585593, 24402619], [99480351, 10547437], [80172657, 49119541], [67211569, 95184021], [34075251, 26311294], [98734836, 64794819], [10138393, 65004317], [57374343, 38125012], [42064698, 84284810], [46023053, 80271889], [52265187, 90491001], [14503858, 16374724], [71358953, 66520441], [39779883, 89159349], [25230055, 67159215], [89651775, 39311284], [12544707, 72831356], [87632031, 72948540], [36540831, 1849043], [92427480, 43427888], [95321882, 61720527], [78788084, 60754680], [40714579, 20190071], [11335807, 43288692], [95445628, 59253096], [59779336, 22126922], [72245604, 89187071], [51579157, 28667881], [85744964, 64429136], [95352023, 71306850], [82639371, 45345700], [16010448, 14012691], [99566043, 80543965], [30403952, 76188648], [87879829, 28850159], [3118757, 32855623], [9475125, 63602569], [5710736, 11998306], [9442935, 72295740], [84712194, 16595306], [26262009, 98105610], [2780515, 63907714], [61465467, 18676595], [76517934, 77085136], [87346390, 54723112], [43440797, 40360546], [46303577, 28474918], [83133131, 51819998], [86982631, 72549990], [69180503, 78371719], [33828833, 28072512], [45974233, 46031464], [28572090, 39687769], [84561644, 27067013], [15974414, 95272156], [98032743, 95544876], [80870766, 89286826], [74043831, 51403435], [76285946, 36717458], [22025254, 2701921], [50943897, 40733098], [47094832, 45147748], [46438363, 66586518], [15415931, 64159044], [4646705, 57728691], [97809712, 95537746], [38819945, 70917400], [32246211, 54299248], [75187686, 65771367], [13340742, 15072967], [59018879, 76598345], [59611629, 44134517], [66195787, 8963874], [25149688, 45566461], [83461954, 69046503], [93482928, 23111027], [70866641, 92943283], [58351363, 9211166], [35734698, 67710306], [56390981, 45270929], [10673554, 25773113], [38910077, 38951076], [41130790, 549465], [12531279, 22889839], [43620311, 51108221], [80244531, 51950867], [32668429, 2749859], [66824252, 4338174], [79782661, 79545044], [50619167, 36498980], [32199560, 64303132], [5128135, 21976260], [32324854, 20516136], [88534443, 64236585], [50020257, 87138013], [93186546, 7352457], [88527451, 53201555], [90346959, 22043644], [50210857, 89550558], [67082032, 91778913], [66616566, 86027633], [27654376, 53149053], [95124659, 58800344], [31743037, 54998277], [57797630, 10257927], [31980589, 27220787], [89993721, 25153658], [30440527, 51531964], [65347464, 88935845], [98924983, 92031226], [85780498, 15418191], [5158405, 86635448], [75666548, 77039585], [17259345, 35781966], [10576748, 35458924], [1674852, 33619493], [81151392, 37735667], [50284059, 28558660], [87672922, 47406602], [99898897, 52392530], [34136144, 80339520], [71444256, 14021659], [67404242, 27541741], [54335498, 40199432], [7503414, 50197926], [84447385, 49336254], [50106826, 29847829], [73113784, 57044782], [59861233, 42692023], [11494941, 42197040], [38113924, 93983501], [12747782, 53163108], [12779865, 87988146], [64221805, 49366531], [70250146, 91010307], [90256286, 57664754], [5068870, 31176421], [46712760, 89279682], [94603605, 96361924], [13323040, 58900828], [44524001, 61461306], [373420, 18500166], [8908681, 39524243], [84445733, 28346088], [45286864, 4092326], [75441112, 83651798], [71814546, 42382595], [29538353, 70563651], [91363002, 93707937], [36295769, 14584996], [31341495, 64580524], [86340452, 68163629], [54346714, 65062365], [58755792, 19578982], [51592522, 58421422], [1473265, 9956158], [5182892, 73682100], [66290849, 40204361], [93083466, 18410699], [28788229, 26095223], [52013970, 79580011], [11002683, 95942376], [7099328, 52514203], [70674309, 11331655], [38188856, 35099394], [55083295, 43319389], [84918558, 41971343], [43594973, 24175987], [88950242, 37683448], [50605724, 18989865], [15434348, 5741104], [27855148, 23849874], [80900513, 72459700], [11622665, 9488324], [37175785, 474443], [80928971, 49857095], [67760264, 82178331], [90714380, 40615532], [16663752, 95359997], [19875075, 18096841], [2274811, 24541069], [89070986, 79139565], [83398128, 49735297], [49537817, 62189683], [29607065, 20901362], [19951923, 21015362], [15025301, 48737830], [88562387, 45349983], [17438625, 98504278], [66272445, 21304089], [32183344, 57194036], [81177526, 58869082], [12363974, 71752572], [14569432, 28882862], [63836447, 45759018], [34657554, 15826578], [87505748, 32938751], [94807798, 38809185], [26548093, 615358], [75509633, 82721655], [60670057, 60163652], [3789518, 75188291], [11138383, 52746167], [61953757, 82665126], [96199750, 12186369], [10327401, 99831689], [44940413, 34269374], [53114713, 52339687], [56324332, 50226314], [47237860, 331069], [15514979, 5916225], [24238235, 63761905], [61841430, 83858356], [73835403, 40848135], [24368558, 85101926], [52606221, 56500150], [24973556, 50290739], [99578127, 4646002], [36296238, 21473383], [79842625, 26662992], [47724848, 24773897], [67440642, 86637862], [4644230, 83686034], [87581979, 84052105], [43401760, 32133812], [65954878, 67215735], [72503490, 87571100], [38461295, 15595988], [80241412, 37518252], [32976161, 43920677], [87923604, 60088526], [89927668, 7014787], [28317882, 65355483], [28659817, 36266603], [61799980, 64305666], [63352121, 43950611], [60698451, 9909469], [35319776, 43031005], [37903988, 59060463], [35041623, 10800763], [14847470, 74143673], [69974524, 44445507], [25317314, 89631361], [34645665, 64637182], [10997470, 49746409], [82336770, 68520325], [35721290, 80854165], [66506676, 62022115], [28981644, 37218370], [17495854, 39455869], [44949478, 2691169], [12453047, 94904845], [11260003, 39944796], [64955867, 87286527], [75540796, 97034571], [42579197, 8318346], [89632103, 59121984], [23644810, 45389689], [5474562, 65815074], [78577438, 95415545], [35375893, 72814407], [39664595, 53699568], [55063263, 56819177], [69694358, 96056893], [23729951, 43029566], [22164783, 62415855], [88007858, 19450826], [66359709, 53614463], [77354616, 98358694], [29196789, 51804336], [98041524, 98816200], [29200789, 15764153], [3856461, 18229353], [71872910, 99133101], [55947784, 23955706], [99173763, 60068543], [8865002, 57742962], [1848572, 75513145], [12382323, 39317671], [30109002, 42885296], [58172839, 86953513], [19829339, 95292984], [10061770, 69182959], [83744233, 53102682], [93124612, 23094496], [97877511, 44473992], [27696010, 29121554], [4193709, 19640212], [32539150, 53155584], [67415382, 87180993], [19996697, 78110959], [57872346, 92675981], [19909286, 54008592], [50354338, 64262667], [4385212, 7857024], [78525997, 3422781], [23249487, 60438525], [69179285, 12537524], [11395425, 80192315], [37068135, 1804405], [31039632, 88783722], [37811494, 24147008], [72025809, 98156817], [84715727, 31385806], [14096161, 80736891], [79031263, 89511940], [62706521, 12122394], [82674388, 57052367], [31978169, 84539506], [20627044, 57369015], [94338408, 8457537], [32455011, 6320685], [69871791, 67832789], [11985500, 99078002], [71177112, 73368790], [78736404, 82313883], [11600896, 83959531], [30345017, 6378371], [39323506, 55891567], [77446522, 8829543], [44647684, 76619057], [95940740, 67937461], [10693349, 93913415], [65781172, 52201816], [3760903, 28718766], [7636735, 3961989], [62396911, 56729857], [445372, 75294894], [38442428, 30895727], [69971652, 64680000], [41114497, 19506792], [31260090, 41639567], [27930264, 30427280], [61901437, 57225341], [47700858, 67257653], [48840296, 77533905], [40477011, 15081633], [1969521, 97207474], [79689603, 89651230], [91130603, 42567103], [27015500, 42858076], [88745890, 2326953], [88157337, 94934001], [28199648, 6680853], [19404727, 5563315], [94470102, 53702901], [18228140, 84278250], [57569332, 43042788], [29946900, 82305557], [56016316, 7315210], [10190005, 86923078], [78924548, 77166091], [89123845, 3223090], [56660359, 12883730], [47207055, 78194866], [87528288, 10568075], [98159370, 74313191], [79203172, 64770345], [15890564, 71726524], [49980632, 19524695], [68301680, 63394694], [22431717, 90812793], [26555633, 3688787], [56694544, 86847528], [6324853, 73291040], [90885608, 2618256], [82042930, 465746], [23358605, 29379992], [81341224, 83552669], [69131114, 34347236], [46837556, 85421470], [77359360, 93167552], [1180201, 23297200], [18802655, 72066677], [47099639, 26869276], [347961, 84181975], [19802189, 90940455], [57062448, 91329315], [26040377, 37567619], [1715437, 80166633], [93961285, 29198726], [30222804, 38883507], [56304083, 74890408], [17135957, 64433885], [60062126, 96697676], [6776008, 39466817], [42452849, 93400158], [75987204, 54322212], [6829610, 41843841], [14646109, 83816106], [88747497, 68541956], [25467535, 41916810], [68294149, 21873061], [2354543, 64143077], [24688597, 8012465], [75466256, 84857282], [66586505, 19430050], [28478490, 16151482], [25914571, 11740329], [63404925, 5800875], [56973195, 42754889], [31409691, 21533386], [54825034, 7985256], [20583143, 65497933], [34137553, 12523878], [45336809, 63503409], [26683899, 31186341], [14179379, 43616039], [857532, 31697090], [45093593, 8619997], [54337445, 72511952], [87115483, 67716727], [17809157, 65277180], [7335806, 55196158], [19910523, 88930196], [43741302, 67174463], [71547323, 72876163], [88236782, 75690423], [31150183, 45702383], [56170264, 54575575], [39038027, 24534016], [95210582, 11344070], [94261708, 45802057], [93307331, 99720057], [96991729, 71112484], [37094766, 50435674], [32393764, 7117383], [79788085, 97031779], [40360080, 45462718], [24546351, 32531732], [49264464, 7571435], [53407437, 58209141], [40796455, 29265814], [25468098, 21761159], [29306965, 1583826], [71642713, 33109306], [52640305, 78755805], [55049332, 86151932], [46395871, 30970269], [18388113, 80818177], [41566903, 26327916], [27129846, 17357934], [75350022, 91631773], [55139560, 80438582], [87790984, 48641828], [62592101, 71733119], [62072630, 95406316], [31993327, 21761349], [28199377, 46181382], [28931081, 91396338], [32835225, 36236828], [33632332, 18650993], [43522422, 21907904], [27153942, 73246864], [71134330, 86815249], [54439434, 84713398], [33626185, 57740934], [825666, 73447481], [32865207, 14468167], [17250508, 32335737], [42110343, 26992694], [43144617, 33962829], [2859328, 37726024], [83521565, 61605003], [79963054, 8376836], [91101926, 43057278], [23431726, 55700469], [24408452, 90655201], [44350828, 24059349], [78472568, 20964561], [81203021, 33770979], [75572808, 21939281], [81473201, 30769976], [1683162, 56558809], [24797745, 87815421], [21045420, 95194767], [87570683, 38976840], [22226536, 54559504], [89716628, 99073467], [92176142, 66067374], [11914889, 41431351], [21701978, 41889188], [69331828, 28174112], [59361118, 59017859], [40397543, 91723401], [74388136, 59632520], [18288762, 76978280], [91363547, 56389027], [81195880, 65535556], [30002927, 65830887], [69723560, 4833237], [79739387, 66191746], [12040492, 20925892], [87037163, 99838138], [31854218, 7989074], [84311385, 30915293], [65094805, 36140208], [1762235, 57645167], [19188360, 38671419], [71043641, 57724349], [45431886, 49604542], [10890474, 26351756], [37177637, 11032503], [9734516, 74756716], [67687308, 25354135], [85533374, 83266988], [32768331, 60979779], [58929101, 95880388], [2953458, 25617301], [58554380, 16093496], [19038825, 58828356], [6464034, 1041403], [53234488, 87044342], [81414767, 68177302], [50024363, 59545486], [52404708, 90118947], [2916585, 12716967], [63739870, 93555147], [20199367, 67067697], [72763908, 57980789], [65468694, 57353809], [10795183, 66634878], [39816012, 96003452], [34582058, 54557213], [1173575, 94526505], [264121, 82303881], [14985169, 99367479], [87893233, 81298312], [84407550, 35143833], [47011404, 67736958], [83350104, 81610146], [67302455, 58719829], [69712328, 51095569], [31307715, 37991432], [43742788, 49152676], [25919242, 55030228], [91969943, 80113955], [88919268, 10768914], [59379105, 71170956], [56998155, 47284460], [96413210, 69260015], [57083651, 39699799], [68682051, 48008021], [94700179, 60796421], [98800774, 75343015], [61491359, 50204122], [98302770, 37400304], [82687209, 62188886], [8118162, 29197675], [69820410, 22127514], [66502450, 90751167], [79817610, 5677984], [56785664, 87962968], [75144590, 87570908], [51370144, 88476719], [44419311, 45169414], [33585446, 84851630], [70516175, 36499693], [80689618, 49110367], [35876717, 32205414], [6513278, 90150545], [67490561, 77384903], [72455043, 60273904], [30911723, 60905613], [70496960, 38953015], [50401239, 12201592], [9808320, 14763304], [57786749, 4350918], [19416396, 84364494], [49148991, 80799583], [99121435, 10204180], [15857854, 18003867], [87231788, 70787305], [77412117, 60186984], [69673047, 20159125], [48938523, 11480482], [25431664, 66571184], [2766022, 14037129], [45569520, 87973958], [82130837, 68048314], [99433635, 79007100], [87664560, 40959626], [40804031, 78429736], [43132750, 73931083], [62785255, 31770378], [63002354, 43519528], [28039600, 36354803], [49355277, 94347674], [10689159, 45483227], [94444031, 32546500], [19130185, 64017022], [75453991, 95959759], [67977692, 75415178], [23635178, 11004345], [31907128, 70307018], [9562837, 56972226], [53239295, 20986794], [57826055, 62049631], [39027637, 1869567], [44702044, 26637377], [20906714, 17162568], [93916125, 25612461], [73380914, 77447748], [67299356, 24952804], [42787253, 52923893], [11051200, 8344153], [93687548, 91290011], [63152351, 66649918], [49152137, 95092130], [25089163, 32120135], [99351158, 26816138], [57051055, 91324866], [38575748, 8499051], [70992985, 7833553], [74522485, 13966531], [44138982, 41177350], [51810118, 52407504], [21104920, 38447477], [80690224, 66960132], [32939912, 21990008], [55639812, 2885385], [17214678, 46254948], [75808833, 57554578], [72205338, 87967549], [54408650, 3695188], [13109498, 56513106], [28102765, 8382158], [34316329, 10106840], [14128558, 35475533], [65935084, 75025107], [14865989, 76805328], [69083393, 75042611], [50734763, 28241240], [22367570, 896599], [53448113, 32041946], [76159910, 30122178], [32217564, 17848682], [37399908, 22873576], [94835539, 35611816], [58165033, 89019302], [59626450, 89967593], [75481195, 88934455], [46655978, 3799300], [79015046, 92770948], [13506336, 39561816], [78893322, 18061181], [66659293, 60596453], [52964121, 93306224], [14007891, 5994082], [41184778, 20555943], [38464209, 47682687], [62429233, 4743234], [18960744, 84845834], [16981145, 24999455], [63823619, 75597905], [11660375, 9582178], [84682305, 85256268], [34182786, 83055030], [69125169, 66236272], [37186325, 69494914], [50144056, 28212730], [44603172, 12155779], [40657492, 40382174], [99109695, 85554099], [92230931, 28198509], [64336947, 42223515], [58425685, 59837], [93955422, 92245890], [46815455, 29103602], [56110760, 68178730], [11701886, 12547180], [79601145, 73312191], [23094242, 43749734], [36072683, 8888097], [57870521, 26649785], [65438543, 95092095], [97982731, 8281544], [69882328, 50516075], [99228184, 84559320], [77964431, 65746155], [79968882, 29086778], [577656, 25486802], [88244556, 33729027], [85364526, 66305603], [99811056, 4375441], [16818067, 32074143], [20393255, 34648024], [24293391, 74525508], [97733754, 10420172], [15943259, 53558391], [32529205, 47926230], [63965315, 81455336], [63206775, 22480700], [1386765, 34477987], [94606460, 80773540], [6006115, 43252916], [89173491, 91466093], [72121763, 47403694], [75700238, 83307252], [29504414, 72979819], [50933563, 40869227], [88599953, 45981517], [98193304, 883571], [89692317, 43442044], [90445677, 42563313], [7074445, 88505953], [42001633, 72859573], [79435252, 67586918], [39674717, 5929606], [38580219, 2991372], [34833031, 37167490], [4765177, 59395715], [47343477, 15399249], [21773915, 89316781], [96577753, 54921199], [50920778, 43834840], [60555109, 55614311], [10176320, 89496332], [38767903, 96089986], [6577632, 89342137], [5901515, 79133199], [55641605, 48606177], [67882774, 2630148], [19878165, 96878441], [53892351, 76307642], [83646829, 56664652], [50885494, 25691430], [24355144, 70419918], [11753902, 47570261], [28177719, 79579525], [8575463, 1050625], [32231527, 83017587], [80573709, 53355267], [21381988, 50048474], [28615262, 11756465], [20835696, 52638343], [97319702, 44054655], [41965925, 60923145], [57535579, 59479741], [47691136, 40016161], [11366315, 29986947], [69387574, 98729274], [90680730, 52726567], [29971716, 43173070], [92408356, 22172552], [69633998, 11391580], [66015214, 32580945], [63225328, 94571225], [84690032, 92244156], [69190529, 1280291], [61371689, 80467057], [37290575, 59258229], [28801656, 10231269], [59626206, 35837717], [21389479, 49238685], [18236539, 47987666], [38948618, 98963259], [94161341, 85460306], [88798705, 63396549], [21209179, 30165891], [3634256, 32476948], [2980164, 76365414], [71012128, 20493021], [18489111, 47862809], [86820289, 92342541], [63799424, 43318911], [34279324, 83005974], [67099126, 93106947], [52673037, 63989569], [28976921, 23688449], [75012774, 82169878], [82009112, 24211176], [258596, 76147997], [28239299, 18500752], [21691263, 41173493], [68413387, 19180073], [25934727, 19333260], [68057947, 22396114], [13407946, 49861314], [2192915, 55778886], [91972094, 4788945], [31195061, 35307798], [15708873, 17198205], [10812346, 7260479], [61442308, 62215578], [40704578, 30493073], [82036412, 97477331], [93181533, 23346433], [31820966, 40027616], [4649921, 66613455], [85788297, 29133644], [85091188, 31701900], [55161676, 53629839], [38624501, 22525479], [65334478, 30542350], [94271494, 63054766], [81401540, 11996280], [64261334, 93677836], [12805740, 47639827], [9211331, 99097305], [40275003, 86048962], [10648689, 31720231], [92614962, 65919197], [98227494, 97534051], [68019517, 75290848], [24192672, 71429059], [90031201, 88546006], [43968237, 33727822], [46940045, 6942810], [56122461, 90311093], [54626499, 26684654], [87144583, 21286575], [99792105, 28221858], [46812171, 65542023], [6180073, 48395387], [96993041, 92064167], [28948738, 56174074], [8730293, 2715092], [29262086, 5940843], [22397300, 66315919], [83918252, 15769504], [48168106, 59891005], [5188032, 46574358], [27710153, 89725221], [50149967, 37801579], [40732574, 48189733], [33288583, 70644140], [99098864, 77390014], [19085304, 74557138], [20890904, 48652343], [88263725, 81780808], [47583033, 61159538], [40890895, 69795532], [71080359, 41454963], [30703371, 88831530], [24309557, 41612556], [97973637, 80814310], [74572163, 88941770], [9541467, 70046923], [16220414, 97237983], [92960527, 95754186], [66533708, 4179288], [71381520, 51890851], [19355147, 29141298], [60683018, 12565598], [76523051, 50574856], [25395284, 6323196], [56409408, 74792707], [25760375, 58676987], [57554002, 62978513], [10627056, 54181583], [68820725, 15398988], [27991611, 83284096], [49109042, 54485688], [45522766, 82826406], [12955694, 9164680], [23940401, 82717546], [63169140, 76695926], [86314912, 33735237], [11383834, 67789061], [11131553, 57160537], [16318335, 74962173], [86679830, 69282244], [4426593, 2466478], [12244788, 55910736], [23536516, 80285714], [10743705, 52529401], [83838129, 9154818], [5328527, 11623283], [62926563, 68719932], [36832834, 53985753], [22790090, 377420], [93231283, 24956392], [31777343, 47410909], [40232591, 68722619], [66837121, 89452633], [21048980, 21680809], [32643512, 78522661], [14686027, 14684002], [58868992, 37359695], [52890979, 72436743], [38278686, 94453523], [42647732, 24113360], [32766446, 41921030], [77619611, 54548315], [59250686, 73702221], [27712991, 63226969], [29145959, 12621469], [19077974, 42628255], [97169695, 82945558], [15958725, 45734577], [44811109, 20355162], [40618226, 364340], [93530204, 67621509], [49261363, 65208787], [28385020, 44027243], [96500468, 95070327], [15393241, 49372261], [8554837, 29060172], [7364272, 33092155], [63795327, 69601079], [11270228, 89251432], [27904953, 96624895], [71869427, 71881400], [46131559, 77905564], [18522777, 52815704], [94144078, 55321269], [49951493, 58100035], [84498361, 11383847], [98522588, 68375557], [24995997, 29935032], [37509287, 12648223], [5394013, 19481420], [6011818, 91380910], [12618662, 23358315], [51750968, 99840089], [41300358, 62903373], [26114566, 92792229], [73258629, 11284097], [6885596, 59576904], [73826788, 99420686], [78700931, 91650939], [54783414, 15838692], [37151456, 68312550], [48664841, 88551787], [69519554, 88146199], [80564789, 7245704], [94701462, 466662], [91017555, 55849170], [18256725, 58268305], [52084838, 95516114], [48141205, 17333724], [67938486, 15346548], [6343348, 32441345], [41234101, 96918649], [1785395, 30911786], [28840296, 95550808], [75185742, 39673253], [56177588, 60886933], [31158941, 42010950], [61934352, 49393886], [11314032, 18945033], [63688179, 84482843], [69440489, 86654877], [96187306, 72307589], [46259697, 95067274], [46622804, 39047348], [45660853, 19750305], [43854080, 79021404], [46805375, 61678730], [31897191, 63394922], [2576289, 21613069], [41931252, 33976776], [9627526, 70100091], [38291961, 80659423], [11123623, 3582110], [97105357, 88926017], [87699383, 25709417], [31114259, 8417284], [64021524, 71351696], [34659238, 53755533], [79667832, 68173848], [57336289, 31866868], [37019574, 86050979], [8838402, 84398666], [89373662, 93550596], [2540692, 78549446], [59610787, 4614979], [69235791, 97545119], [64563067, 69022126], [87383437, 8112884], [71494531, 11577631], [70497982, 70854833], [31337585, 59903992], [2114591, 86596046], [58160929, 65843037], [43994386, 86252828], [52165113, 73289051], [32936923, 63027337], [74545970, 69534115], [89345799, 47887160], [61871280, 99370725], [69977990, 89744719], [47068076, 67300064], [51894741, 7393898], [99625360, 74681566], [43151415, 16546650], [3747766, 14323133], [93121794, 85185331], [92810624, 24144319], [84979898, 44983407], [94888794, 26617274], [73457963, 1508511], [56813471, 25724557], [38418263, 74256242], [55926230, 67782039], [70322679, 92135649], [41584472, 11977116], [30768330, 34950490], [47500671, 56752276], [36529877, 99957970], [70443214, 24910925], [36306853, 59896141], [35779931, 36768093], [16761345, 42243831], [53890088, 30513202], [30858152, 21861958], [60620730, 7492966], [51891305, 67160667], [21202277, 82512484], [35459152, 49514961], [25227733, 50349849], [42648666, 5950511], [10524531, 79875057], [26050790, 17601767], [77383186, 75127274], [42698699, 24109816], [47025422, 35779143], [29420981, 95124739], [1015644, 53296129], [61883616, 79413852], [78394862, 40334916], [92805838, 52924782], [41002168, 4848565], [86880672, 64916298], [59341184, 31289156], [91064660, 54121648], [5700124, 79118798], [58348032, 89393287], [62326702, 62947521], [98450488, 76103369], [76461708, 39027672], [47429343, 44909687], [50238846, 97621428], [73943755, 15548118], [22092246, 65278980], [30019529, 74112922], [53914830, 43000833], [48307986, 34689056], [4425377, 25046946], [50584449, 66319891], [82481734, 8425679], [83612607, 97503453], [91896600, 7355909], [27247412, 83977909], [58911794, 22135274], [58615003, 97730125], [63807428, 61629279], [70655979, 48861206], [5876093, 1935152], [88137057, 64661427], [38990126, 31168714], [59411659, 98011440], [56229741, 92387930], [7058846, 94419374], [69659593, 77847021], [52353051, 25519670], [86295866, 58048773], [72363415, 3413831], [64593427, 51282333], [78615845, 88014728], [90496547, 50505300], [73356947, 9092839], [93966395, 81670619], [83906934, 14837512], [29374112, 62417642], [12793233, 33447229], [65270176, 25432091], [47559144, 43234916], [87039619, 80461344], [23161964, 84550523], [41945189, 12858353], [88592453, 31091717], [38980185, 94483512], [46791609, 99163980], [90155138, 5652598], [11975693, 88081539], [86435576, 16411610], [93643209, 3935822], [20704127, 47912539], [18197711, 39891787], [53452112, 32821988], [29163836, 15340342], [82974343, 24204183], [59835426, 48772271], [21383987, 88349525], [16180440, 52615977], [75174162, 15306033], [44799259, 9172039], [223126, 14753219], [17041749, 87636735], [51008623, 48414356], [75055328, 61394193], [74688568, 65920409], [4451663, 87528152], [12181704, 47277118], [46278841, 60423466], [80869953, 61633628], [26758105, 28903766], [23783034, 85361625], [57571114, 13784012], [59371403, 69446281], [92477773, 45610789], [16429686, 86936102], [77979400, 55247484], [90248557, 77332915], [98159617, 87133167], [52911117, 61684498], [50035345, 39504561], [27138978, 30611813], [81118850, 63919674], [11113530, 41882097], [18002272, 86220977], [68370438, 99293142], [74804519, 45983978], [34619752, 92810627], [33907716, 47668925], [62294362, 26854340], [74190363, 31144915], [64331653, 6106079], [21338070, 71147533], [51456835, 48496537], [59316862, 33262459], [26108984, 11305478], [36683854, 72028703], [78124110, 12990309], [15619162, 92105690], [52594247, 57401769], [87914847, 93146132], [57277332, 18228845], [72848412, 79729574], [74293627, 92932114], [10984377, 29226838], [4180416, 98861348], [35822844, 62678103], [57262814, 69660820], [89644600, 2891396], [95612465, 92539391], [94529218, 62807337], [73669905, 33230147], [61860381, 19802435], [45811859, 62051810], [53366464, 95933103], [13504612, 5014461], [75502420, 20782313], [27905760, 90663813], [35749983, 3644383], [47024934, 44151453], [96641472, 46290103], [2685620, 77983410], [56448142, 60751992], [49555578, 95110211], [59747943, 73365678], [84454477, 50636664], [91211946, 99102711], [7368220, 33192499], [94888663, 53801055], [3462978, 99119850], [43697516, 51755219], [23617970, 86396330], [62932519, 23629909], [65301658, 70974626], [2253557, 63417312], [79076734, 6213762], [80428136, 32222246], [29006030, 46110288], [80665666, 74739522], [56296586, 41777147], [37991760, 52048180], [12279849, 84800260], [30517289, 70845815], [30462507, 33835075], [46768773, 41095625], [53662586, 17782953], [46604496, 19293586], [11211515, 58030172], [63371657, 60116232], [28134925, 6616864], [89263286, 30728579], [2838821, 27866216], [26498253, 72936213], [13620315, 98519267], [92017144, 93582255], [6653708, 28294685], [79432148, 51735703], [99559531, 60850041], [73063791, 50725006], [28640110, 76338126], [94451298, 35270849], [89164220, 56612826], [33305462, 72623013], [71933276, 14241663], [62253332, 43663776], [70120005, 11272656], [37218845, 98714173], [62399563, 32143067], [95447910, 58599868], [70767562, 59816972], [69787642, 30583081], [65721085, 37644293], [97412879, 71327273], [17254260, 59370779], [22574155, 8239805], [64695745, 23554951], [99024449, 61024424], [65687472, 97887760], [29576526, 20280602], [8225441, 3130064], [34325416, 19760229], [37259168, 88029164], [98643218, 76612440], [12412677, 30683100], [92678392, 57667094], [53110527, 90050159], [34331236, 82070345], [16927637, 15426179], [66962065, 97516637], [11789408, 26297175], [12709455, 75598422], [48048052, 54854057], [16466125, 8099236], [92316396, 74387944], [99557166, 79927806], [57688505, 58226875], [55532079, 56306749], [98107451, 88420288], [6986179, 25975405], [22727653, 66970309], [44782945, 99208038], [28691031, 53172350], [40468559, 12122769], [81508168, 52777016], [19596579, 27919091], [22665251, 58028960], [50178235, 58873002], [90086268, 47455698], [56210020, 99293588], [79908818, 63379874], [36789066, 20757725], [14795430, 53526694], [77349053, 86928084], [57885489, 81847014], [99366533, 80515327], [31264466, 39011751], [78468408, 33197387], [1778446, 20289104], [17453262, 10201803], [84781373, 97564039], [36371132, 71639914], [79237380, 24880950], [64925781, 1177458], [90384982, 15032651], [72609505, 91285749], [69344334, 16512912], [14212854, 4677137], [33991929, 28057424], [28639353, 97086254], [63134816, 1767396], [91488612, 90867316], [14502774, 19006698], [97773860, 38455886], [67353476, 87141272], [2471490, 56206333], [22561844, 1667731], [28435447, 77757652], [88040139, 45883680], [30052920, 22979465], [33966, 77514474], [67577620, 23342753], [97825093, 87767070], [49558762, 61576978], [54829253, 98165523], [54418003, 65289026], [6127419, 51392373], [69464200, 79873378], [90082373, 8090331], [5915116, 5633354], [30366278, 87883584], [80482529, 40836309], [7017764, 30842145], [13259880, 51691355], [97693732, 3163003], [1338590, 15282784], [84560752, 53698739], [85221026, 23218730], [30878559, 44507230], [47262685, 66349364], [9393977, 76919036], [62444611, 35544490], [46950504, 63675066], [72059892, 7503869], [36814498, 43339440], [62097925, 28999407], [23164860, 15604756], [29808916, 62488883], [89657390, 2171129], [6159123, 36893318], [83984757, 74426805], [39148858, 7082662], [8408103, 67560398], [10281169, 2306121], [38549229, 39579063], [36815570, 19850309], [21989933, 24986654], [85579541, 40590378], [84256754, 19955613], [47215551, 24224001], [59280025, 32106689], [26853649, 12515588], [4651751, 57782029], [7657809, 2147191], [19769567, 64084304], [35232317, 63711837], [39616240, 30177280], [27185027, 54951842], [44256407, 96731040], [34201613, 41687284], [47190927, 73717192], [82224035, 51274069], [77899779, 80285346], [62186456, 13987249], [95385192, 82344258], [29940557, 94715748], [44256564, 57092992], [38429856, 31559129], [48048903, 84353952], [55558112, 43336576], [79554157, 132425], [68786321, 56860633], [92687828, 49789439], [68396881, 67723609], [59856003, 16882386], [67868011, 30581638], [50099106, 87239465], [27960445, 21833934], [34269515, 28862246], [60906007, 85280367], [23823631, 74925450], [52317237, 72081130], [22286500, 20604246], [14444768, 64953122], [9029019, 27080198], [14458049, 84434353], [99864949, 18995358], [93329885, 50029493], [26394952, 6595848], [55764635, 26316476], [30017360, 81674360], [37231066, 25708136], [23072715, 16301985], [12904540, 25918224], [91051768, 58557830], [70316734, 59348836], [79955306, 71829934], [61868561, 65647700], [64117631, 59789738], [33275869, 67717828], [34084116, 79465097], [33088094, 92354272], [36935056, 80589863], [80067726, 13339295], [86981555, 10287798], [52173539, 93070261], [13536199, 47534515], [12826676, 99669518], [15137443, 66221025], [1586548, 93441887], [4223518, 69838856], [2208154, 27070618], [97651491, 57834139], [78806571, 22081518], [86433834, 93426633], [80409909, 2457212], [66704273, 4097594], [79530044, 72424710], [45228370, 61934528], [54792503, 69398388], [73240945, 34774468], [69627096, 28400207], [80990913, 40761480], [20813689, 70019510], [7811907, 3432695], [53850014, 74085170], [28203679, 72876317], [57377637, 12814736], [99106683, 27529253], [69338773, 4089243], [57968851, 66707467], [53895836, 90008204], [84705147, 43623239], [62445493, 10576094], [63281867, 18912995], [49292291, 31288841], [68489783, 19934528], [52280604, 21349023], [38075590, 90624273], [46599215, 89547312], [33863939, 82828020], [59400724, 79864565], [23688510, 38110745], [7035936, 22941747], [10117117, 72808954], [42596694, 27742825], [42816762, 80805475], [24728482, 27010985], [19785493, 87918309], [79716244, 22269707], [83127683, 72039683], [30641334, 86181041], [79628125, 24089079], [98387191, 61613486], [65123173, 3696954], [63176495, 75669084], [35930022, 63993620], [60641160, 83336881], [77029262, 29063225], [77171155, 79320132], [46359084, 44317089], [4873653, 94800028], [39770448, 23884214], [177816, 60873215], [29458682, 49882490], [99338175, 28900172], [92285773, 24627041], [80816236, 65495130], [98142814, 15275511], [47702785, 63373898], [77586992, 77950082], [65845027, 98168593], [35242077, 13638392], [87807177, 6775450], [16913069, 75280425], [77300338, 48916140], [842774, 85566332], [79870521, 46920075], [75341955, 22089506], [2725618, 38884192], [21049660, 98598375], [59660249, 14347013], [96374970, 6659091], [2690909, 59699069], [7532866, 40401983], [63396375, 94920089], [23311661, 69247414], [3055281, 5275132], [72133567, 72529652], [56353135, 36133817], [97014193, 14404967], [23868724, 20288434], [84941292, 81946679], [37428303, 6787389], [22319290, 71061327], [98100831, 48378922], [91310265, 33388618], [79630432, 14528762], [58088920, 68254454], [21027607, 27813088], [26793554, 28068737], [99540752, 53212153], [914574, 2404982], [19969648, 95179911], [85048083, 34291894], [71662980, 79023636], [7904542, 20119706], [78851870, 57192220], [27149131, 68031733], [38881948, 74580639], [24779727, 26236937], [34874629, 74083358], [5949797, 47403006], [37575934, 14339398], [42041374, 48957287], [50431780, 56456670], [40125782, 97379620], [97498111, 84650118], [57371324, 65321610], [71864618, 52121996], [54834894, 55361819], [67077065, 16502865], [53586116, 31486520], [69483205, 47255211], [4291236, 31975580], [72379940, 87310966], [7278291, 51143060], [49595505, 48189396], [79563227, 18209744], [97189273, 47585452], [989443, 61080569], [24069663, 13505603], [52481112, 3362386], [4094125, 48949255], [6827686, 19009004], [415765, 26547262], [72399439, 91088074], [98483231, 62946692], [44971310, 72352483], [62677184, 91213343], [48283479, 12466204], [10471237, 21537993], [19107620, 271029], [64683956, 57445078], [66082851, 47617474], [55953541, 9448957], [32559089, 84745764], [13544070, 8289212], [29753580, 66280319], [47590485, 62526850], [79901511, 64890171], [64110020, 23125175], [51345669, 48963951], [1515057, 79756267], [8353754, 48585573], [95498632, 82049967], [14122954, 50701046], [10049966, 66928774], [91860067, 39572079], [7728955, 4329587], [5121032, 8646267], [73537997, 84727753], [66868150, 51287429], [23202450, 12503780], [1828230, 9684078], [62828766, 71540798], [32077646, 82040619], [37807858, 42765283], [40940420, 78274610], [62735052, 63722716], [15940251, 90267103], [34559992, 2108387], [35854194, 35794339], [14147360, 28807311], [99097236, 40658852], [58300071, 7950402], [65386754, 9445909], [77796576, 55120927], [35541678, 88610840], [12942131, 31595696], [80216361, 92608666], [70089140, 61850632], [78680392, 63572054], [17955846, 51679646], [59488353, 89930732], [14911251, 87705142], [71299909, 41159494], [26271074, 66591202], [70207063, 58984407], [12935215, 5951605], [24588200, 51842607], [9474656, 4651358], [49583040, 70829536], [15905765, 27726121], [35173762, 49297160], [49743725, 15093804], [91140969, 68454960], [95494161, 82435212], [65679104, 44783892], [41369729, 92813509], [71618513, 67262221], [81876753, 69291347], [77117354, 11849562], [23998861, 38136861], [4116336, 31111749], [63808424, 356395], [36633114, 12319310], [34623152, 78126381], [89319925, 68123124], [50883422, 49111556], [89387435, 72217820], [33876135, 30863131], [38577279, 65030679], [74384270, 43919941], [87955705, 23351865], [99274400, 92942247], [1110772, 54016382], [85083822, 11198971], [85453268, 28597337], [30698961, 86105320], [4828296, 44967896], [99808033, 23914791], [35469826, 1660046], [92460838, 13434673], [91890443, 94431547], [55084261, 36720433], [5141851, 97900539], [4395692, 58696003], [55810246, 70091795], [24774537, 17864420], [95502787, 62439505], [45613706, 11067838], [3288475, 35416478], [65588694, 25579806], [6558757, 97740364], [95204700, 70473490], [91744037, 47264872], [66991321, 75439003], [56038623, 73940794], [52637645, 66221313], [67590393, 85548984], [63066927, 75065317], [14309467, 51188834], [83676325, 99458245], [98061538, 73984809], [76660225, 18453273], [46243022, 35645229], [37567223, 67148926], [35431129, 33575428], [74039601, 71494478], [25430523, 67013942], [5766212, 74541582], [91292390, 30803581], [22651877, 50811131], [20938577, 54529729], [27187667, 45566425], [69562371, 64778334], [81395224, 81500761], [20515770, 61810453], [83848436, 60095369], [92384172, 48104237], [86042045, 60192148], [51809905, 6637624], [56542481, 47350993], [16193950, 91514478], [64215363, 58536907], [58639310, 78420616], [36958093, 93408327], [54414117, 73923785], [47807361, 17242445], [2182538, 44000314], [90020530, 17631140], [83176852, 89080885], [9573828, 32937783], [35759944, 28252464], [28953706, 87082056], [19024949, 19115442], [7891365, 19606601], [28498330, 77350075], [57278845, 7324445], [88985418, 67454739], [90559, 15252822], [38723301, 20067366], [17783400, 43039767], [15979649, 18426589], [52938986, 67925971], [42960161, 82901104], [9506730, 30183781], [46738379, 80566200], [98926636, 86710042], [95640236, 41382637], [67336803, 94527124], [65706082, 24068234], [19347158, 333849], [73808550, 43628064], [39158638, 24637964], [31557653, 41678171], [54084791, 35064633], [99160201, 86172473], [50282640, 99905504], [68028080, 15188249], [98260509, 59186854], [3290655, 72152762], [54096991, 19791788], [32717052, 14211794], [28960304, 78060415], [75258643, 21045075], [95414419, 73100614], [24646032, 96107218], [81546825, 47710423], [82779297, 15112292], [64897744, 81443507], [28272852, 47949466], [36719964, 23854545], [55714846, 30872609], [38223691, 71743827], [87369448, 59773973], [32935823, 34624589], [30418642, 78999070], [40364463, 88499884], [53426847, 23380632], [84005521, 69891543], [40311571, 29260491], [64649085, 1341260], [13395774, 39865479], [31741701, 56455525], [44749960, 79273232], [95386348, 97415563], [22778235, 31859144], [88801282, 15995234], [85900211, 35205494], [65845205, 56281682], [9033227, 20114612], [21578871, 4754531], [3530017, 33705160], [26690235, 57818719], [33092900, 80403307], [1450263, 76648442], [10017944, 5575286], [28766501, 53359116], [63314060, 3107946], [60882913, 9958320], [67577628, 16231397], [83473212, 13409757], [65598856, 10185407], [30367790, 16396903], [16629791, 53154614], [63794575, 73779341], [77988366, 96398308], [81785096, 72356150], [39308800, 71509781], [92198709, 46195705], [92616283, 44302262], [93841840, 86192813], [6872169, 89916792], [79432259, 34910814], [69276389, 14960414], [19026990, 77359280], [29816062, 79514483], [4655436, 35043949], [49715840, 39594156], [86473505, 21633922], [71813499, 82136087], [34321869, 63146261], [31640739, 59605886], [32753172, 88662982], [79290093, 36091911], [53120209, 19366902], [7094586, 12326864], [93996209, 68255698], [33970928, 64835839], [34052090, 83709287], [58918446, 58791189], [44687627, 15350078], [85842510, 3451049], [51283117, 18706172], [80563822, 72623235], [44220495, 69315297], [61195987, 1815289], [97953107, 13235050], [12151905, 1720019], [31594213, 58738457], [75086144, 69435389], [98395657, 14731184], [70260608, 88651443], [9024562, 36999366], [51334781, 20518157], [95211664, 5706423], [85136341, 42601207], [26001616, 5757895], [17910337, 65543316], [51256135, 83945793], [10167623, 118942], [69561480, 39290261], [9041658, 51542228], [6463529, 41931926], [21261542, 8798351], [43468217, 87102395], [87055226, 7981675], [50693641, 3213248], [64791963, 24291314], [94359391, 31611475], [66467978, 43486406], [18537318, 13648779], [28975000, 22300968], [42092705, 77928266], [91457154, 4725649], [2415958, 30886467], [49203855, 34432666], [68773739, 99537334], [57012870, 63746548], [88392027, 48003982], [36550300, 29089637], [87973340, 51991478], [80913355, 7843141], [35136122, 91819648], [83106302, 1415044], [43092077, 41177668], [5864428, 60545814], [14999087, 60107170], [1220115, 25846196], [99681097, 58166724], [49222482, 41502350], [20734912, 82940539], [97419042, 72953096], [81670238, 11716479], [65077595, 74610290], [90336656, 60976018], [45468796, 30692444], [85588487, 42814849], [66084788, 81019634], [13503244, 15171882], [29375576, 94930782], [17277929, 41130353], [14811834, 23314915], [95403390, 69231734], [46401700, 9801136], [73488362, 72360269], [78902680, 5182872], [77002074, 74582101], [50901324, 19820739], [25470131, 37126919], [46251450, 5649926], [33266305, 77064756], [34649966, 52738212], [52617507, 17353182], [21083020, 18868349], [23874529, 57361070], [86293881, 57961353], [48787461, 59742745], [86021393, 97900885], [11716015, 9068298], [88484071, 58840893], [58491450, 18017209], [94106093, 62331671], [24652496, 36455778], [63831304, 9008492], [36160921, 34906800], [7344710, 59567565], [45615838, 24138739], [72605314, 74545495], [99058365, 47430700], [46036019, 75371169], [74904260, 32752519], [27830650, 46017995], [20786660, 85061838], [7241687, 82988236], [68095871, 3705612], [57592659, 57205557], [78984951, 12255578], [60977062, 39881934], [32002143, 74412298], [84530982, 33796526], [71050107, 23556814], [44793655, 28033998], [57108421, 46533634], [29035012, 69567427], [76088477, 24477790], [10306461, 1498708], [67675899, 35685087], [93483202, 2332409], [41592652, 7095527], [55474920, 2571503], [96100196, 92649777], [65265736, 54135465], [31544071, 82852350], [7525820, 1909540], [71796157, 45788364], [63443658, 75936635], [1545065, 89333198], [35897056, 82248398], [11034510, 80594586], [33184784, 60439175], [86101696, 60483577], [65576751, 41263105], [67587282, 41241672], [140840, 98736813], [29462941, 91429411], [15683188, 4280785], [81581351, 64500387], [17216580, 57690009], [40068568, 90751380], [13182774, 40119256], [52890022, 61858497], [19621327, 99807741], [94751066, 18766654], [33791620, 46822367], [80822481, 75519185], [49740886, 40575377], [34055909, 86755334], [24929522, 55568085], [17684346, 52913371], [92687524, 78478985], [54272734, 37326224], [97749456, 85177691], [73134667, 72812939], [55424892, 9349669], [93431749, 86264305], [55572653, 3137948], [32107781, 67686592], [14125163, 29068562], [21077164, 79880225], [76965922, 96092827], [25542677, 90524397], [97703537, 85504140], [93396516, 86088426], [66275510, 72864534], [8015423, 1726010], [7825575, 82242227], [20528327, 22805516], [70635229, 37098051], [14930365, 50660917], [55528636, 7992482], [51361616, 67192604], [30860935, 99964759], [32718308, 3274231], [75443250, 89134552], [89392268, 55256347], [16300901, 18799370], [73818290, 71261414], [18525329, 34222086], [2250079, 76869602], [80537946, 41542838], [71542123, 50129818], [49203344, 88153427], [23294411, 50687348], [92678728, 19959246], [49728819, 3725543], [24276110, 25473228], [85155115, 7672690], [30780326, 33923304], [48852411, 26555576], [45114163, 81810793], [30812983, 54820007], [52362770, 84556193], [90339617, 49847435], [1014090, 16316735], [79001155, 48463220], [53531463, 28972915], [76248608, 70166109], [45711354, 51259435], [66896699, 28062110], [46080080, 8997638], [12555408, 40227678], [74206050, 19446935], [64396792, 87300094], [60986563, 21327331], [44342419, 70935917], [41928644, 9619328], [38645434, 22288837], [94932961, 80356029], [60618017, 40022409], [92083852, 45996122], [30723563, 95866214], [37070323, 213594], [28884924, 8843409], [12297526, 34871390], [71960176, 69694117], [57042678, 11519219], [12380862, 32376616], [44641913, 44316418], [95275194, 725042], [80242492, 86782567], [27315283, 57705798], [1539426, 85527147], [84370359, 5752823], [85616612, 32999939], [56785144, 95194246], [88124169, 79877234], [46444617, 67736081], [71710151, 8676178], [68143374, 21560441], [60585528, 82478218], [40691533, 22406175], [94820505, 85117993], [21657511, 25145977], [41932038, 89455440], [62847549, 65287250], [83486703, 66302916], [77567033, 57159834], [43845106, 98776501], [70121928, 40977117], [86746329, 81286467], [83783816, 5385942], [43976500, 57362581], [34728901, 89062934], [26072971, 28898159], [78435019, 86087430], [62364584, 64729043], [712477, 70138052], [19503915, 4806450], [29345814, 83546360], [36777857, 48008564], [73152735, 32499671], [91721708, 17616454], [98719580, 26690637], [62927582, 19767085], [94952003, 44250547], [78767465, 96378229], [3319006, 50385347], [80671672, 89034845], [59040541, 21286152], [33252791, 70601192], [26664301, 46637643], [81488595, 35441369], [97645682, 28651300], [43753032, 7016483], [55555509, 69967598], [73195701, 97985963], [10919889, 40691018], [2548936, 40048241], [20296445, 44471515], [45359254, 32236609], [11317792, 30373523], [68924044, 27759703], [66229218, 71801072], [20862640, 49771460], [82074200, 2238152], [44339121, 85021055], [57860358, 2076053], [48356017, 69593443], [71300608, 7388772], [85386117, 96857293], [2159846, 59129098], [41372164, 81853087], [54322223, 72954065], [90622167, 48148137], [86923090, 15516398], [62928322, 27487578], [90168413, 45220076], [75391390, 24638280], [62983220, 57434707], [9674228, 98321087], [49854391, 21375485], [63435848, 62563498], [90318346, 24562110], [41256225, 49032773], [85427559, 48311382], [72035718, 45985763], [97047657, 59690824], [18027805, 34310642], [82758416, 17507849], [66538698, 35029052], [67081872, 68116676], [28762975, 1584136], [70493956, 85416150], [63975624, 41700875], [85376604, 92471952], [31117619, 8710291], [66975083, 17944089], [65398853, 43471629], [18443881, 17422596], [68932598, 13965440], [85968654, 43607736], [91763795, 27976157], [63486397, 26096377], [92198858, 61112679], [2920008, 79162333], [26507522, 63835756], [45056342, 5574977], [83025636, 63770541], [82221987, 90054270], [79680869, 36420516], [17541513, 26396402], [89018329, 82183929], [47710267, 87761103], [228334, 58510262], [153603, 15300401], [61060997, 2357563], [8305051, 1329835], [81772291, 85445058], [74799431, 55319275], [6481203, 49487913], [78571828, 91037705], [67189953, 28385774], [24959135, 1387020], [12822367, 60373211], [59239647, 76172070], [89709527, 70202049], [79252, 55323796], [40823859, 40804358], [57859166, 66884316], [42121918, 94480237], [68770357, 17801922], [8582711, 69327110], [12787504, 46324332], [38308602, 11696633], [13935422, 98809490], [28353929, 8124035], [5357810, 83645084], [15556742, 3716170], [75426383, 4415990], [60850157, 65918256], [5732177, 3859395], [6018916, 38725890], [15782401, 18215338], [23977400, 19335429], [4304421, 27313296], [58568295, 34818475], [61057511, 60601315], [32378468, 34200492], [46175428, 62609526], [13898546, 88773267], [80329252, 18793220], [71186826, 5539261], [85193575, 78329152], [19499982, 52012771], [31029835, 28111589], [99791450, 82774195], [23734329, 81612336], [30256504, 14320449], [86345783, 88202028], [82758666, 25389147], [60877198, 84580723], [48789972, 99307670], [68205368, 93574484], [66051781, 91539566], [94994346, 17660618], [24071101, 92682451], [76079558, 59337348], [65046198, 74502772], [36393526, 29995877], [44864143, 61719013], [17065776, 26042163], [85242666, 14542166], [87725911, 89846537], [26228602, 38737604], [33703287, 17637529], [45679665, 61271392], [28441465, 51029299], [45604798, 21516089], [50349979, 29905237], [13024078, 9741394], [83881366, 35885621], [31087857, 46380399], [39096985, 10464353], [32465634, 26512082], [97399034, 14354007], [70151486, 48820944], [40012983, 14626371], [2690434, 76751662], [53379722, 18349573], [95883507, 26592233], [28262650, 80695769], [30040551, 48194067], [41013452, 86484631], [6371088, 49862001], [95332258, 33014559], [47181861, 39631027], [46356424, 68181292], [84586023, 4850572], [71399604, 1015117], [13638577, 77519217], [99877541, 46826777], [61197928, 98786552], [81039210, 16739306], [91144260, 52181637], [82636807, 69153858], [40974485, 41362785], [53555448, 39975931], [71566174, 24667659], [43239767, 90144384], [18421621, 97572474], [58676934, 33037787], [49568019, 81359544], [67956647, 57984859], [91080183, 67746040], [30244365, 73426645], [90455173, 76439664], [97280649, 6820846], [43204409, 76908401], [51123383, 34508268], [21803750, 63910316], [12609162, 16466638], [79699251, 45882310], [13577743, 86290988], [73192308, 12155167], [76984573, 79012654], [66015841, 83207594], [35519710, 23065786], [30229443, 77847652], [5787326, 62462035], [68676743, 12075824], [6367963, 48412229], [56375976, 82289628], [25970538, 93770465], [99552151, 98034212], [82544019, 16032842], [11051913, 57299147], [63995962, 82888907], [28655036, 92273448], [9110946, 79544615], [67678107, 59399346], [31795226, 81831469], [81951401, 16796896], [41456071, 20990930], [92863410, 34678973], [36241899, 68183907], [24282114, 54469431], [79655257, 57781488], [4434129, 32031385], [34865182, 89223614], [64007367, 65775445], [97691544, 54829813], [77176117, 52223589], [41175569, 55525066], [77565647, 89923305], [84770948, 85817154], [60821504, 67194460], [91452165, 12333333], [587023, 39889029], [88098394, 82586472], [93116660, 14473324], [98619811, 35824697], [82498845, 52420920], [75213018, 45035067], [1923927, 66268144], [75924090, 28820763], [84359311, 18465324], [96363910, 2720241], [18814850, 55684213], [84528493, 70095228], [73515335, 6195939], [18713613, 70322202], [91436500, 66920130], [78549076, 92663390], [8610278, 74270944], [85875504, 59191573], [16993211, 33775707], [40615483, 58337204], [18726627, 43554511], [62561739, 47107135], [55773876, 83721491], [62456187, 97680502], [97532808, 29211981], [76437434, 31533421], [10582460, 43943830], [98694302, 50969930], [10620448, 17434854], [19775792, 99650871], [15181729, 95015998], [27400295, 69210701], [8370558, 6374883], [66548356, 18050963], [65558661, 17513658], [42113356, 7927977], [75631076, 81343862], [47582699, 10524], [28679687, 55942315], [32626248, 81625178], [82768390, 72079066], [4219431, 75713813], [39700935, 87836566], [65789769, 70623637], [50265810, 14086323], [90598825, 68182057], [79762706, 93674926], [70850086, 83414171], [65689150, 39934361], [89042774, 96195556], [27614867, 18510081], [82055322, 50178366], [28463316, 11728366], [50585694, 32395782], [69184863, 78825961], [35859058, 39788097], [19209818, 26391227], [71180429, 28141641], [72821655, 12347277], [61068085, 23918272], [68538125, 87359965], [13006162, 69433988], [43436893, 30424246], [82521423, 10377942], [28637895, 99112347], [74381959, 84159534], [33712640, 4774997], [36494649, 54316567], [5633262, 76922385], [70386205, 76730029], [67771376, 81267187], [34139669, 10028487], [82897662, 26654641], [98853699, 88787476], [78780060, 81960639], [40224039, 17799871], [39741917, 99152645], [42802630, 97300197], [69814466, 36014090], [99065088, 65407184], [86022008, 31014982], [65920898, 54902595], [56468107, 14015465], [94242079, 25545603], [70787928, 63305575], [13905196, 9562241], [91684403, 24374888], [88459797, 29973204], [16327627, 60681879], [82151401, 32836173], [62333917, 6400418], [59617052, 38123692], [24825942, 42452547], [88313287, 24373140], [39464545, 72782516], [72001613, 11616407], [12634474, 98572911], [83057271, 21583080], [50889654, 94683476], [37555670, 65977594], [40846184, 7709910], [34244370, 49623470], [91082888, 90019351], [23754866, 47196961], [55591751, 42675734], [12598557, 64565992], [63732287, 19546136], [44402720, 47663235], [67735569, 14258073], [44592524, 95014135], [3582148, 80241789], [69205127, 84537220], [56715225, 85872668], [28072384, 53921077], [84004518, 22667673], [56593186, 10076108], [1277603, 88349061], [24189167, 93807912], [66629404, 14017368], [13996434, 85996303], [10458292, 21165795], [95411271, 41962639], [39592332, 10258370], [59823340, 15928904], [4319969, 43520031], [28217319, 4546172], [54269213, 82325300], [55890485, 3164075], [60139535, 39474010], [8040419, 64030491], [35519670, 16227687], [79593549, 8458345], [81548819, 3916767], [61192231, 12586138], [36285876, 61865195], [94942538, 46562786], [96211892, 3348940], [68575618, 26887615], [35912881, 23635796], [55613216, 37894534], [27668564, 60045714], [17911708, 86289400], [74216510, 63191698], [95482185, 35031201], [41717867, 32384884], [14454521, 38956092], [17997134, 52436398], [82270676, 10323883], [52675268, 43880636], [95307733, 69710729], [80039749, 60182829], [56368572, 30476250], [12978688, 62132027], [31199039, 49194107], [45247464, 20397641], [81466842, 54756569], [43025162, 37533211], [74271031, 52702440], [44286225, 75268646], [73318571, 88065059], [5724673, 4792596], [50765702, 48524320], [63663851, 30637443], [4378133, 49750461], [27061983, 73969468], [43879261, 79606021], [93705296, 8711574], [30248690, 88545556], [13173415, 93721074], [26832489, 14085079], [45676531, 9524434], [12486945, 3402015], [18366779, 49642683], [45239947, 61788719], [15239559, 32789964], [61381473, 49216143], [15870488, 45392721], [75658600, 65349320], [56540563, 1338840], [12588519, 25430535], [43258253, 50880221], [86406185, 49023933], [1812145, 72192645], [60215942, 63129943], [65099660, 42608153], [5480289, 30386233], [92501200, 11437688], [90387405, 24062660], [29343469, 48961170], [21725604, 83592085], [46035062, 5384391], [54916810, 22173253], [92417728, 41216977], [52543648, 89762122], [29035898, 83420919], [96852231, 26033993], [11852893, 66214166], [7122411, 62135257], [24342694, 33496897], [61770375, 69702849], [89280857, 97353249], [22823603, 25081074], [76655831, 5044305], [6942061, 95431017], [38414794, 31941665], [31004127, 21062429], [88051940, 75156839], [191520, 44325065], [50900457, 4741752], [1155690, 44460009], [11746717, 97531287], [4757900, 43317829], [4577908, 5575113], [23628884, 70550644], [10857611, 82382402], [48538418, 53062933], [20327784, 68385716], [57529601, 36100420], [19897079, 9263542], [78269150, 45412733], [9489174, 42972272], [73681636, 98714114], [43357890, 94032805], [51973184, 85723911], [64901181, 8408719], [9334396, 6476165], [85584491, 40850537], [47071291, 81270007], [28374000, 2042948], [67802180, 8592658], [16125584, 13715076], [43813362, 68988417], [84621252, 54115278], [60155573, 56583239], [46310987, 7292685], [12155195, 74323728], [28217661, 91562024], [46710176, 23336735], [13244727, 97299056], [28862435, 58956992], [53764953, 32147153], [5409595, 32976276], [66317189, 91514671], [18827957, 15326419], [81337628, 96325750], [81487200, 64963510], [27321599, 98285829], [83908999, 54213778], [74158613, 61194920], [22021189, 59201606], [88185511, 7529148], [59445106, 16086476], [68886686, 81224161], [49018644, 28105002], [19574780, 15143505], [77609791, 24309576], [76288764, 90618407], [17114116, 13828367], [85389553, 13793184], [41673683, 67672841], [89078878, 60000710], [20118372, 81031741], [28090130, 77268676], [3145737, 73169120], [11361758, 15695820], [49833109, 32231241], [6408892, 92826546], [45787840, 47202630], [32966746, 48538000], [70760134, 32034555], [2807678, 19281315], [54811243, 68469630], [34536448, 93288170], [41839452, 54914809], [60979262, 92366888], [27350092, 3092156], [13345566, 54937319], [56853844, 28134884], [600925, 96701240], [65394163, 33439122], [52600837, 91055585], [11965379, 80354943], [45276992, 86019823], [25696079, 30003344], [51716627, 65781537], [84168371, 47935937], [83320199, 6571750], [14561775, 56933872], [28526634, 63027726], [92652401, 18743437], [43875919, 3588666], [30616547, 25299729], [85012816, 86639196], [11799149, 19358899], [5976495, 89688172], [70894314, 33710829], [13320123, 2801180], [50081948, 58555033], [77094979, 6974168], [19593150, 36931969], [20317687, 85511953], [8781316, 28562127], [11242583, 58208154], [54690704, 61619053], [21857775, 15280903], [39841280, 98699431], [41449404, 87792096], [59507228, 68786766], [84234381, 11751869], [28391639, 24221699], [64263425, 90644883], [30151898, 22937738], [89523718, 24098793], [65860658, 65284771], [46836347, 42909335], [20478449, 73815838], [26301772, 32934371], [90478811, 13849584], [83061441, 94721444], [62100012, 71153368], [48110005, 40879239], [50489290, 18617518], [15138804, 93476940], [66666074, 77489213], [97666316, 26037143], [59733075, 69055952], [1260823, 63404558], [13986339, 69059268], [18078627, 20703777], [59833361, 21154047], [33671488, 72216097], [41613463, 51396861], [80952349, 52503663], [58272258, 5433562], [74392728, 31077609], [55437435, 46575682], [83513168, 7490636], [55521109, 76402845], [526519, 59646281], [89805443, 18254609], [46540813, 90560468], [98217081, 76635698], [13153989, 19704508], [74690757, 19354877], [95873296, 29714164], [10125797, 40979567], [6670493, 87927375], [75021878, 54583444], [34793505, 2860456], [83969173, 90292187], [30305847, 46287360], [87373958, 14901492], [4891502, 89318753], [69770656, 66559087], [3296758, 41818206], [78601795, 26803077], [88147, 42286585], [95002720, 5437190], [30837068, 80451547], [49342657, 26480168], [61183059, 14972430], [61582105, 84691164], [47085859, 17757473], [89411255, 98598462], [56185886, 78899452], [89187907, 67651459], [15214393, 67827930], [56306762, 8878793], [6437361, 94128852], [19757572, 76030331], [59441563, 63374883], [63592800, 62627419], [27351157, 90300585], [37336439, 79174837], [46128167, 13621096], [9350193, 25749565], [61782942, 98479384], [33992195, 38044586], [90220191, 66297624], [6962011, 6659402], [84387660, 55760144], [10372729, 45634931], [12289884, 31986858], [74846757, 67358748], [82839921, 54274918], [3879795, 61695474], [18706232, 78370617], [66087529, 34714904], [98815956, 75472655], [85819393, 68085887], [14230694, 75940551], [48375015, 37155989], [63655154, 16418017], [79434031, 81934971], [91384641, 41663676], [79063028, 82838482], [85986238, 28419221], [4462489, 89793813], [66661497, 56621279], [80778154, 2978810], [85520585, 86375024], [11851003, 63561855], [66469316, 31034266], [2070451, 51807282], [90912403, 3194392], [69272041, 94441459], [77932883, 78714327], [40146320, 20990829], [5036679, 88966132], [43181093, 56798757], [99843371, 65774220], [41287863, 25284707], [16048749, 490532], [79810689, 58539464], [1374611, 69463275], [96582093, 76738976], [89785942, 11782553], [50677430, 18754411], [23445181, 78579945], [25779882, 8615901], [99625302, 55094628], [72794446, 54734714], [25803160, 21433558], [16328687, 7684778], [76860316, 40218156], [75482768, 74954125], [44225233, 59299907], [67203797, 4604708], [31636971, 62348045], [72109296, 63025476], [25587665, 37470360], [49632971, 64529833], [23760747, 86108457], [1652027, 64317438], [41931433, 4742482], [41523882, 20751733], [62680331, 29303099], [75179809, 55267344], [3668344, 61771400], [55346008, 65037295], [19652708, 53378268], [67372557, 45679208], [98893612, 72345601], [57247062, 69947117], [71334112, 95104989], [87619557, 26970111], [49192025, 1900143], [25542337, 99551023], [35084950, 80382085], [84709809, 14159506], [67552995, 72238099], [26725134, 79577100], [90659806, 38242220], [21807560, 59378201], [53966737, 96311441], [29581394, 83793047], [41152342, 12719208], [42567981, 95514559], [7344285, 14430168], [43510063, 84721871], [28426720, 691869], [43238484, 35502333], [70580382, 15802736], [17067573, 44121544], [34287412, 13310345], [4679657, 66854449], [70273157, 9473147], [94181624, 97412356], [49108450, 5951482], [69967172, 51910946], [82289411, 14811809], [95740528, 13409304], [35601426, 67699258], [93282679, 75106092], [18712263, 98075116], [18062985, 77366907], [76483310, 24982564], [22454043, 42755911], [18925902, 15416437], [63512891, 22667186], [92582357, 6651680], [1353208, 19754291], [85302573, 6779601], [40002377, 29742863], [54131180, 95629058], [24631259, 49983224], [3703995, 53926743], [54841512, 18230149], [81370457, 35053903], [47157765, 31652557], [82780227, 35128346], [1757478, 25230579], [93267515, 2132073], [94319218, 95724520], [12315513, 41362720], [87363164, 27675144], [94743072, 83604865], [24151119, 47754105], [5887652, 40480756], [49324740, 73346066], [18641970, 80729963], [92075877, 69025196], [5091037, 71186368], [93673933, 7159895], [63161612, 67644948], [62082857, 16981996], [115103, 10658731], [30900858, 64003149], [93623178, 1239921], [8616748, 2302038], [66342571, 15762316], [31253909, 88286107], [94862787, 20969143], [7781230, 49495092], [7678170, 69956886], [1474358, 39954846], [38204328, 23489450], [81773404, 80168758], [56739128, 19288732], [94728397, 75757506], [18197379, 66761491], [20877722, 21577366], [83418015, 55621963], [20683956, 10792207], [15562756, 8945691], [85175997, 62555342], [21520538, 43953944], [72162352, 52692852], [4402810, 85431013], [31050483, 44535228], [50587519, 4148257], [85417272, 98267524], [81359603, 90232002], [35576688, 85798860], [39710343, 45792266], [79769610, 26619211], [24991733, 94441502], [16514409, 53072682], [66750767, 35508113], [25290057, 28869842], [15367382, 47492947], [65904929, 65261609], [27935803, 23477318], [8026484, 39369509], [71220395, 78266810], [6737511, 81025743], [19909011, 10142190], [937451, 66289176], [47808416, 74550665], [99707546, 41726034], [65847182, 79023584], [64478906, 81705445], [41426786, 70664738], [18932678, 58324102], [29968998, 82344438], [20455359, 71150401], [2315988, 8942701], [56769999, 66385905], [29380830, 37507902], [39522666, 90360648], [85341804, 26128613], [63805263, 53870962], [36150727, 7984486], [24995910, 85103668], [72319706, 20286590], [42300226, 23261745], [83816170, 19305788], [36837003, 91704412], [21185502, 57965360], [11643002, 56908610], [85971687, 18428095], [40121980, 41093027], [1384741, 32294272], [88764019, 75672375], [44375512, 14043064], [11776202, 41598747], [95900835, 11434148], [22724510, 84140690], [92298751, 96368590], [31934167, 30084284], [809373, 40232975], [25282560, 73322675], [12135003, 71368651], [46954427, 34429330], [90086044, 55271881], [97830031, 75420030], [66421516, 72683013], [24901423, 63680845], [80330255, 96585585], [27548546, 95791110], [42281593, 19567321], [23704777, 86541930], [71922564, 87672873], [92579622, 12515490], [96221866, 63827435], [52552952, 68714550], [2081253, 26964894], [34596893, 70170001], [37811479, 17390190], [81170106, 74577600], [88272454, 73049667], [66760651, 43092821], [26607010, 6505560], [60872991, 93105654], [65316065, 68921608], [36543605, 40396781], [45635872, 85764757], [58392334, 16156760], [61395494, 79763407], [2842365, 70553837], [95368336, 84608386], [33311927, 24404602], [11459459, 86482869], [68759521, 14774397], [76547288, 49919140], [98141772, 39692312], [66137582, 89888928], [19589731, 80218869], [74268743, 41018296], [66456916, 58667579], [68352257, 56844659], [58982324, 16260712], [46563156, 61590867], [53775786, 50920438], [6196909, 87268779], [92377587, 23545850], [18259504, 74915847], [56553022, 56930038], [18185610, 64294789], [67212146, 76857668], [59147029, 28663383], [31648957, 38604843], [60950432, 99295278], [21369446, 5466506], [91321207, 46894685], [89389084, 59679126], [80967046, 16255505], [74705218, 83798610], [33122262, 85291037], [13569081, 58803744], [93063196, 17165874], [70042869, 93660639], [61453278, 96119996], [63255251, 8987315], [23880837, 23265621], [39654754, 94740420], [54439592, 82206329], [73481685, 70683394], [32942631, 85429278], [34699671, 53595530], [85393457, 33787138], [68767142, 27503428], [36108366, 56785513], [66588916, 84118566], [32905629, 20464265], [96256486, 61026816], [13734620, 72122315], [3858388, 77474715], [22339970, 9194360], [50109108, 73050228], [41474822, 97316879], [39105813, 45131843], [38377922, 70701222], [18115341, 44197146], [17943127, 6827749], [70667429, 34604040], [83057497, 96077509], [36392453, 61571505], [65013711, 7057788], [16039149, 21519425], [46505613, 67261767], [19650286, 88391329], [86349626, 20404483], [482672, 85138751], [23321574, 14481849], [19963671, 47497367], [6482893, 53698172], [7830192, 78962902], [75035463, 88821944], [80185706, 5714420], [98235389, 69017140], [84509796, 3731288], [5873390, 6323964], [17286911, 32476734], [24824518, 75825527], [73676462, 19500990], [83670626, 72988393], [37179338, 55213477], [86537187, 96475740], [13452937, 2987701], [95242564, 74317858], [29582561, 69098012], [15789752, 6035868], [82819302, 49272404], [95460248, 78528680], [67801005, 10149817], [93126528, 36219122], [70501379, 35695187], [66524957, 69943593], [39446581, 38285525], [71476640, 92112088], [78359454, 46348429], [86715130, 57817074], [72524802, 61430171], [8883728, 45126726], [11304598, 39757512], [6445962, 95900014], [30264634, 81085131], [7980488, 32139175], [26186222, 40399946], [5131184, 8769403], [5214482, 41273569], [46775055, 2084417], [50777240, 94977513], [2088252, 83897152], [26879573, 61953258], [9352097, 69207516], [31662094, 79011493], [62453222, 85826787], [12275281, 84132081], [28095081, 8006255], [49802431, 84816458], [4622551, 74725624], [53322369, 47690466], [61560332, 23804035], [66818330, 23791145], [54541582, 53838478], [61636818, 20285918], [40199496, 15097659], [18998280, 22001768], [22104557, 91158456], [3994649, 44969590], [32355435, 77284828], [44074524, 7116756], [54359545, 5767387], [69320694, 55958512], [54637745, 86357756], [12899912, 25461131], [29892791, 37918214], [6968427, 12429355], [25165015, 61868567], [88104111, 11367546], [40630102, 28258547], [27628614, 3603842], [21161345, 77962390], [39738734, 54264267], [75720311, 19667341], [28516841, 75700210], [4069174, 67543020], [55785271, 18062721], [39673027, 16466675], [73935204, 58990114], [61553217, 91026782], [92944923, 47121746], [75080121, 55472374], [72856902, 76386712], [69211320, 78835530], [33371247, 42010511], [75989010, 49586097], [68533757, 60005495], [8726874, 17433146], [16121995, 7109889], [18717375, 17557709], [14265021, 9895153], [32337782, 82230066], [99731704, 48343827], [82141916, 69863707], [27257978, 96353052], [88415269, 93554405], [44107566, 18103990], [45535330, 21081747], [76888504, 35546951], [79596760, 39803556], [79840757, 88899631], [78760881, 59349293], [5939498, 94275560], [19800056, 73818502], [54006696, 10634396], [45992630, 76589989], [74832029, 23247962], [74309103, 13773377], [46658434, 69710938], [5047113, 37786954], [37778163, 42377362], [89462790, 16047217], [88220651, 40770957], [14437121, 81839612], [94843459, 77773460], [71628237, 26790719], [84923186, 22012848], [1072860, 11620268], [94176527, 92873555], [83490147, 76947503], [4065559, 75559061], [60001739, 4242048], [28048123, 20321892], [13231937, 84505505], [35103985, 31640696], [7237611, 99911091], [31749062, 24899174], [69305175, 11043952], [44209488, 88796795], [19728634, 92736110], [29477360, 30979393], [97203081, 84023848], [76220594, 47613063], [34871565, 51314757], [7728890, 82209444], [47127722, 64574007], [78832542, 93430160], [70583563, 45102264], [93052923, 97434085], [85419223, 86086466], [24755688, 1963384], [99557068, 20414364], [75618525, 96866865], [30336005, 23855709], [38177708, 98828681], [57746650, 66597388], [74135529, 98554343], [16511324, 9162270], [74775555, 44523153], [45217885, 89939513], [97029368, 53848378], [30539759, 74225228], [95230730, 15032813], [94228000, 47877638], [31075812, 124506], [14492920, 99610160], [31069798, 65748355], [20070976, 53966965], [75062159, 10649713], [40125790, 9757720], [22736920, 57114170], [30291028, 68255219], [74189195, 21791968], [331125, 54669543], [90614176, 51351807], [91732725, 81849486], [87161295, 95483846], [47378244, 87195363], [60295086, 77446342], [38751647, 67908266], [30401858, 55379930], [30207621, 29384231], [21449590, 67627977], [46874004, 63448735], [19284748, 45599061], [2098309, 79603168], [82261376, 10164680], [66710246, 29393847], [77018817, 29220149], [40973707, 49113091], [45389595, 68001659], [27501282, 18658345], [48601618, 40095767], [51669493, 98813455], [84607201, 58393773], [26193846, 97634170], [22280512, 89727071], [91266959, 9243553], [63346470, 36196525], [2156276, 44336414], [81405928, 30292700], [43519803, 62253499], [39137408, 13858663], [19366693, 94724802], [49473731, 66781144], [67300745, 74930665], [52052121, 58378662], [22747210, 14265573], [90882403, 28030941], [66730780, 15963164], [47262897, 40201146], [40994163, 30784330], [7702678, 91905335], [81766133, 97901220], [46348651, 53237227], [42678582, 11680252], [99395300, 62123876], [95206423, 6480704], [32482979, 29330931], [93756068, 28942577], [23379701, 83918568], [90964200, 88303605], [45152294, 91733842], [94436800, 92452267], [11605476, 28343232], [63786275, 53533193], [54579552, 33945763], [98343858, 83860859], [57136472, 70088304], [99032548, 7839629], [32254318, 75297901], [3529715, 46323672], [65710242, 46347660], [90106556, 98783696], [59608650, 56857177], [8022310, 54758754], [37765068, 57320810], [76382534, 36268657], [19799726, 71094753], [6891188, 35249103], [70712135, 72422429], [44340803, 42582278], [92588183, 60028070], [78356498, 73338379], [1862737, 16791180], [99051148, 28407622], [42119287, 18801785], [38717169, 66079226], [4966475, 96008129], [86743633, 74243169], [95280618, 12440273], [68693587, 85795997], [24131113, 65633639], [46587669, 99796991], [21644851, 51495022], [61354297, 16708128], [8039206, 48719244], [27349375, 99452075], [56172003, 86880215], [95631016, 3542625], [43997336, 47714179], [78029860, 68044482], [11518985, 88186741], [34545244, 54468054], [87099065, 50867435], [61689286, 97014086], [51594950, 83996953], [85066299, 96948916], [728366, 7676159], [72333118, 59610764], [59035057, 50880841], [28910192, 37695268], [76649240, 73765320], [62735658, 55718308], [83325709, 54598108], [27946930, 15416589], [2320435, 9459341], [8398451, 86346890], [83855863, 25551381], [17959406, 60968893], [99285150, 1019717], [96354017, 74997415], [81306668, 19621801], [60590284, 19270289], [70934732, 53361977], [80618392, 95813522], [25933500, 81852991], [85531217, 63946444], [64513075, 50522080], [89664894, 61878312], [129419, 7043151], [81271866, 99068881], [49715310, 91496445], [73848034, 75649396], [46961639, 30209329], [21261695, 8910912], [24095311, 37521669], [57724996, 1850274], [78091840, 52262276], [29028831, 76874940], [50261623, 18107572], [21520151, 96046242], [47766042, 44268344], [84534461, 65378225], [85277070, 49327285], [14254536, 67593282], [64099081, 40567578], [66012407, 14569429], [53700944, 12514464], [99650296, 82694760], [53293684, 66570839], [69008786, 38674981], [11516742, 49955290], [93691907, 69127301], [95014738, 85458062], [64590896, 17242542], [39138050, 84820203], [79696280, 70884523], [94309412, 6860178], [58569252, 11476], [78719724, 40069220], [74500740, 21500950], [11637875, 63276370], [91994508, 79075430], [88919842, 40216810], [6643820, 42352777], [81268226, 2140832], [68621033, 57839078], [25515462, 14594676], [12941092, 8799805], [30692712, 47077070], [3338188, 9481496], [87009275, 52286460], [26903732, 64151133], [13105856, 62329547], [94521822, 12015489], [11568134, 54142574], [31219903, 49491106], [63581140, 41647187], [50955793, 45655507], [94578769, 72648236], [43094938, 1597361], [3501363, 84855295], [95796689, 20980247], [67306446, 20068176], [4591623, 85194773], [87182108, 31101495], [51736895, 88854476], [29082276, 66616535], [82923243, 21506870], [77027834, 72650385], [51783113, 57018621], [48071220, 9616802], [44674165, 57420909], [71034575, 7753613], [34908086, 44896110], [73626298, 97876208], [58079521, 60554623], [69141123, 69698946], [57443788, 98611540], [11981741, 58166923], [98897802, 20655317], [35628345, 57107633], [39281858, 80790702], [82298732, 43016443], [74352877, 71571346], [26836273, 44877744], [956527, 59455906], [62605275, 32972808], [35319200, 45139405], [50215660, 26572744], [17303617, 58308628], [25242673, 29849220], [50834376, 75917691], [32683581, 25232343], [19095784, 23018696], [27749703, 69681073], [77054650, 47744256], [92161083, 78149122], [83178050, 89411588], [57745740, 82064538], [52650756, 74312543], [23828457, 34047863], [16456524, 5138499], [49811944, 24075294], [28166279, 62801292], [12087318, 38249021], [14582381, 72220856], [61514644, 61340598], [11653116, 90979017], [43509964, 3639254], [93761885, 57877482], [6299820, 11639978], [54986130, 70825885], [10193540, 31305465], [55935111, 87090563], [56976672, 29246611], [53256668, 96580403], [70202344, 13212216], [20819392, 93800108], [34571256, 78656985], [3668907, 14197542], [67973966, 67988721], [29678171, 36217552], [79045648, 42132238], [77023413, 82737586], [70991732, 23617641], [37719427, 93626583], [54229080, 31059486], [96104485, 14469848], [64862047, 59571463], [97798152, 33163639], [26708183, 47241399], [50451711, 91590447], [877545, 68575745], [56093304, 26439795], [59398852, 3030532], [78423378, 65111233], [87015578, 20365374], [37113566, 76466242], [36042070, 70628364], [86517549, 91450981], [72099372, 66203032], [71239239, 18602311], [19164445, 21001726], [94470863, 88195801], [46861603, 53127683], [78067260, 99470657], [51912329, 51394741], [2261725, 67854120], [4462358, 56457459], [48608534, 13491879], [65182226, 49655697], [22643567, 49498645], [89617056, 85906187], [10845418, 22792436], [63727743, 89882815], [85281621, 79829987], [97264576, 13311044], [85341243, 59216895], [22533569, 81523109], [96904849, 10596866], [30249621, 68747395], [72448946, 86820628], [77022146, 76784175], [41787151, 85292683], [45769045, 49623029], [96133545, 25264643], [95363015, 13432743], [37373892, 61093803], [79623584, 77350232], [14078043, 42829537], [7755488, 83118844], [71789390, 14450662], [84545008, 46617584], [64692183, 10215780], [53882707, 7444171], [12513369, 68466509], [78855834, 80899329], [26428677, 37971803], [10983179, 45663564], [8397096, 25058618], [97465650, 27227743], [19314352, 6945369], [57808002, 82450979], [38231588, 91261785], [67851230, 98435982], [66112669, 49957863], [18887675, 48043553], [72119515, 39361443], [24256157, 97184437], [2859605, 17041893], [16901556, 9632434], [93538973, 94604043], [41527583, 44100998], [5514664, 95739517], [94812007, 5293614], [43016347, 2149309], [58893167, 63170633], [63796652, 94518880], [34177003, 70790248], [69380222, 25953658], [3011147, 81840487], [57648215, 84654670], [93433319, 28554473], [28010799, 51608953], [82611525, 84996847], [58358858, 41154958], [82921400, 77015648], [15668046, 64495085], [21161043, 77192483], [50865904, 12847324], [26030621, 65277441], [49080076, 57305800], [26219798, 27482504], [21470510, 42390429], [28530073, 94278709], [89117734, 13392121], [34348, 62578646], [33890267, 5520750], [25005594, 86579077], [43189434, 35945280], [34898565, 83715258], [14966523, 34878638], [75906546, 69434056], [41748884, 54716565], [24615246, 6616790], [57572123, 94542246], [14677644, 53185871], [97622939, 13008403], [45469142, 22614958], [27334828, 89580795], [54931862, 2973355], [23520900, 48059235], [69999333, 37927286], [728759, 18904101], [76930606, 37317973], [2261701, 57373548], [86339944, 36824797], [69301540, 386303], [72122434, 72472220], [12518504, 53389342], [298461, 25387728], [60473680, 29827704], [80404267, 71164390], [6047558, 58501600], [87070171, 18416876], [59186533, 25711660], [28500490, 63982981], [71877003, 2450622], [98443197, 91331650], [79392936, 60203497], [37355316, 14478230], [32591625, 42768496], [59247921, 28874659], [24603015, 4411355], [12644621, 76043833], [35941264, 45860414], [17324894, 17936070], [37013848, 88172344], [63313908, 79100343], [47569877, 47754171], [15997078, 1437184], [65744064, 836899], [27489398, 42011612], [11391509, 69593122], [13407327, 12898281], [99683714, 3740982], [51258771, 74886048], [67985984, 7304815], [84747373, 95036140], [54448180, 42914176], [56997789, 82221125], [91021283, 10151694], [80635166, 9878601], [56654591, 91431194], [56764665, 83602365], [56157012, 60790842], [926592, 16653796], [36086969, 14277001], [70988841, 99255668], [77605864, 68207669], [8514445, 60739414], [75638548, 7373503], [80540617, 47614807], [63750458, 45043640], [44108594, 59352983], [82629776, 1444051], [48882779, 95667898], [738425, 57641782], [13700885, 34368056], [75448332, 42206446], [93502932, 82368401], [38430954, 29122892], [12876250, 26586835], [33588261, 12766617], [56139863, 85142920], [88931021, 59307535], [72265606, 74606833], [2223426, 72688089], [34548665, 32030864], [42321191, 10213101], [15754132, 24684482], [77451818, 62987733], [48022663, 69423766], [78240812, 48668947], [26739957, 88166942], [2184515, 52907938], [71166028, 15843143], [40483659, 66302556], [25843602, 76450041], [56908345, 24940366], [16207307, 94342500], [6352427, 68292657], [53674292, 35572224], [90876182, 64758693], [34119928, 46112383], [73767040, 48954769], [7337251, 93645463], [38652473, 80720257], [15939097, 79428975], [43944483, 79744634], [47917745, 64500449], [32373718, 29819184], [26658721, 42263121], [70352682, 14669741], [55790199, 10495885], [77337332, 2342873], [77656066, 34814055], [93256514, 91655180], [82968611, 59974453], [14653364, 23894993], [51786951, 19426169], [94713343, 61631129], [4638343, 79670355], [69001658, 68990972], [9367085, 5606083], [64737054, 47482875], [24352050, 18925703], [48663216, 48567341], [21938107, 55156777], [69930541, 91824815], [80452042, 71125840], [69878674, 36014325], [38639600, 82656436], [68242409, 70974987], [66284573, 47954249], [12450974, 47239886], [67221905, 88953160], [49433365, 83149355], [11674738, 15357415], [31311942, 49474412], [33207606, 32246957], [98928814, 39337388], [26963161, 83816905], [20773827, 30979358], [24947480, 68960586], [87961550, 25282790], [31739438, 29590972], [41606269, 1630757], [39909941, 74525153], [45010171, 27896340], [3127676, 58384632], [86766175, 9240810], [79730480, 17186013], [93109719, 47874770], [27804343, 31556687], [54153804, 28699624], [6211133, 89730686], [45594643, 57589040], [73533631, 76548080], [24102716, 33356474], [59579994, 64971532], [4696449, 9856561], [9051668, 82715620], [89850037, 65617815], [82029119, 13207383], [56273091, 45177712], [89342251, 14392138], [6856986, 58690072], [13750067, 81088121], [29010976, 41904099], [48499462, 80282186], [89892272, 32433189], [24308756, 52910432], [95830756, 6309465], [64418567, 82813867], [71922176, 16000093], [88690885, 97330580], [34893259, 27249206], [13016189, 67253280], [14668875, 12569634], [25500445, 28298332], [45574262, 6222130], [86678927, 91005537], [47451931, 10881469], [10685694, 87020692], [37512403, 3704707], [9556729, 97924544], [85119441, 72206320], [12838522, 31494306], [52955728, 15965315], [40530108, 85972536], [1423968, 98395449], [17994823, 1026748], [48276435, 30487761], [40671920, 72876098], [6297569, 44939964], [99662740, 98285264], [88300623, 66077307], [42708974, 46984527], [26433580, 84786312], [77136406, 38948146], [39883992, 92343203], [69419306, 38904003], [91059895, 65738292], [85442992, 4638500], [17553683, 76665194], [5717565, 77612462], [36744748, 6792875], [73086888, 89727385], [5538553, 88625379], [39780090, 79726672], [97078903, 55736970], [66909140, 83821073], [34812179, 48285656], [47212246, 57167225], [62567171, 44439037], [97713950, 11196797], [72487893, 4336425], [7380840, 6365751], [84211116, 17839905], [91631469, 90436225], [35808521, 44696193], [36210648, 76889358], [91023407, 4018543], [65256212, 60589283], [74277101, 11966848], [27340250, 59858215], [18304993, 31903018], [14150197, 1745271], [54950130, 15606361], [83020702, 37639411], [79826088, 10896195], [4594105, 56541148], [81967409, 36827002], [54345907, 88862851], [61760053, 56678223], [9315203, 29005122], [59840852, 87671882], [56202241, 48457071], [10182982, 47086464], [96300506, 72540250], [73896961, 6938669], [90111599, 19968162], [16642357, 24313234], [32472676, 1602422], [95103485, 47228111], [87613270, 849814], [31657783, 64484915], [16963352, 66707046], [22223640, 60034434], [40782148, 54770458], [54930399, 30348475], [18337194, 58970554], [8548990, 38265273], [58096450, 14420987], [27969669, 90312038], [8722531, 41346957], [10417008, 63914840], [94115753, 1521577], [65731536, 36412153], [28038138, 22916799], [45604129, 41965534], [89231024, 88378842], [68081005, 64470878], [59503113, 66069108], [62640051, 73464293], [21569609, 40556982], [80920667, 56149642], [77875920, 57230272], [20943727, 6950260], [56592423, 83489578], [99827691, 16150500], [89005479, 15127974], [93664024, 45844459], [75386196, 31263989], [82047746, 68952516], [89124408, 19414995], [8535918, 95256109], [6320801, 9082029], [86418295, 21793856], [78755837, 11412675], [89343470, 85056306], [4988134, 38442449], [22280206, 93843386], [37884517, 24759233], [41286387, 55005691], [88034001, 83423207], [63524490, 45035901], [54969737, 21910419], [47634617, 90396499], [41174961, 86067095], [75809209, 69852520], [21776757, 92825405], [99024381, 71515278], [26740372, 17256892], [71159150, 23977752], [88140433, 19715900], [84472911, 18718455], [36005949, 97308165], [8737842, 36340729], [28717563, 45530942], [80378058, 44684027], [75753977, 58436951], [65558900, 34809769], [80410516, 17569895], [55574514, 32150363], [33442532, 70761151], [77315028, 57935835], [2399162, 39466430], [23040445, 44338882], [90470689, 18202146], [87219026, 99912843], [44306901, 91047625], [29317506, 88705459], [29876496, 43169274], [92810922, 38109120], [77118136, 51694836], [3532492, 91605974], [50652391, 67841362], [28175801, 68052437], [61866213, 10350723], [76836735, 8567456], [74594170, 76198151], [55841337, 70400741], [91834300, 35671147], [94241223, 25699301], [97673220, 6231350], [34127040, 91930857], [14359366, 81960412], [23543313, 385618], [21711362, 20700910], [41552806, 13083280], [39851473, 31552867], [74365840, 74205620], [85662013, 37580590], [57054437, 66807915], [11228390, 60676358], [45707473, 49696611], [45955273, 40915814], [62675091, 26416583], [75070516, 14555251], [94145129, 48250703], [68534294, 55421188], [48281473, 1870380], [94478998, 10413840], [1762863, 62030600], [22383596, 2534887], [43061914, 97982752], [80294866, 67363622], [96529905, 71119505], [54217282, 73712580], [41432659, 73849039], [15968339, 26173246], [75334548, 99387255], [31264694, 57768081], [99162595, 18132600], [85894605, 70990650], [35275497, 26798596], [41506505, 79718852], [86080683, 80683525], [4297538, 26043106], [65683930, 25711308], [48856033, 71126160], [15789509, 1235582], [60317943, 287368], [96772625, 96136245], [75915501, 73185728], [62778405, 72842006], [73276540, 42278498], [85091909, 16993983], [99421205, 31019913], [82094905, 62416028], [68026266, 45985769], [67847857, 65812840], [75342881, 47026088], [64159018, 51010671], [88937555, 84379162], [69667672, 27252303], [55618358, 11295801], [31934951, 8702039], [62106284, 83945382], [32305032, 42739131], [80848525, 87764643], [31573777, 47771399], [37534799, 46607431], [71980143, 56431059], [20507156, 17946125], [65391553, 94662567], [8016483, 5163721], [7834879, 79395086], [28352738, 63788324], [91648157, 3671515], [55632246, 30630533], [22461102, 77092905], [97110650, 42803641], [15412272, 14375078], [95923476, 8552613], [21093008, 15957027], [70072589, 71175692], [86216777, 95438626], [42525201, 16043710], [24450613, 28750610], [54278878, 68679678], [29689118, 20579119], [89360869, 7433954], [6635669, 21091497], [21023713, 71538427], [30106143, 70011188], [28302833, 7765366], [94504917, 57253475], [29896616, 45919862], [57266309, 73619011], [21222790, 207687], [83229692, 98563585], [95793168, 65530455], [63715584, 17711514], [89890312, 71355412], [92846281, 39601886], [42995014, 39923665], [17193779, 60352647], [75682823, 5484644], [52573342, 9211868], [80218408, 74447730], [59999870, 24561145], [69557432, 95445217], [54618428, 77386116], [7275262, 1537279], [65555902, 75205378], [64331050, 5223711], [3632721, 91190594], [4982072, 32466430], [69274958, 45168778], [77603274, 89827553], [2325959, 68167972], [35956990, 56196141], [61734526, 28605805], [26803511, 81719075], [45380736, 43164376], [30908271, 91606216], [9052345, 32204233], [32467742, 13215460], [11397697, 6844355], [17149550, 8624718], [64866787, 66447453], [99947077, 37250317], [63791080, 54898178], [49366707, 4633506], [17604890, 5991384], [96149700, 51733235], [52140146, 67325368], [36174633, 88108173], [73452646, 47808759], [37204355, 48733426], [71971213, 95413197], [64749601, 15508605], [84274915, 28333597], [34543053, 67087138], [76940937, 39920251], [80025189, 9718966], [67624472, 11336180], [32692636, 33154603], [32972631, 41082626], [48986950, 93254055], [64973883, 14057940], [30539066, 46926025], [45124667, 44902980], [77465863, 11095985], [32774075, 4996717], [83534912, 5590799], [13382937, 71759891], [55288723, 18020544], [10231453, 82110359], [84908889, 54517749], [45385404, 95122060], [76128807, 42495885], [33186411, 89666882], [2154291, 13298579], [89831400, 74663194], [77671072, 1245657], [60036413, 60357919], [35386979, 75463074], [53079261, 51798540], [43314109, 92616084], [33859321, 87800577], [85074207, 87232174], [86464973, 65683110], [67682913, 39575986], [41527845, 85484898], [97687801, 69461490], [74527351, 20030789], [6413121, 80897801], [9518867, 66652129], [19531834, 27069554], [36934473, 57751285], [6145170, 54630871], [57785410, 36771256], [9941073, 22636565], [35055354, 4474502], [59548207, 5871563], [17620225, 46441244], [81217055, 86263565], [53206984, 72160561], [42742156, 87539193], [37937674, 96980652], [39145060, 34769885], [15635074, 39074496], [17036097, 68793502], [21975015, 90570707], [13793879, 45990384], [32031326, 80282821], [98734629, 36782589], [82928345, 67921787], [30905422, 1523849], [26233296, 42201996], [59736763, 49754751], [59479485, 7694233], [28436114, 21564305], [75868707, 62879293], [16915626, 20144733], [49734835, 86905827], [44334893, 16229588], [44890834, 93554915], [48035991, 67526580], [65476297, 23506390], [38439256, 99278948], [30684791, 58810887], [9102186, 16061201], [78534296, 53232429], [40769747, 59174532], [43155410, 16818774], [21648141, 88560088], [16152094, 75260512], [95057494, 17861084], [51211068, 24664075], [464748, 43816348], [2400135, 74423134], [77839130, 73181670], [47502850, 33699503], [88142761, 48685029], [87263888, 8885270], [66159476, 73399973], [66861401, 33506715], [49089732, 52058965], [36342440, 25992273], [21042262, 48992811], [11273505, 22187175], [52720227, 78104803], [41394443, 17724496], [57660732, 11012605], [39800380, 4789243], [76040842, 62581564], [73184655, 11463172], [35128879, 37581048], [99813246, 26534634], [53669819, 21959306], [66530352, 67805455], [2227830, 15132380], [36109636, 81366597], [38303429, 4846335], [77348701, 28132729], [46432783, 16455164], [32631149, 95523684], [40516006, 24860458], [6337812, 11786463], [51629001, 99804804], [87572345, 6660135], [50178016, 8139577], [34214536, 49039332], [14187859, 79851818], [65502086, 64607167], [35021362, 15892870], [55856382, 37359515], [10197270, 47353951], [27075535, 10089314], [43739604, 17524272], [97845865, 84484702], [82675225, 90101749], [22384321, 27395990], [685895, 70724388], [89206998, 55176075], [36188892, 77799647], [14775547, 45364537], [28249918, 36677515], [68581673, 88220572], [27676096, 14125228], [60435175, 61601078], [88538508, 897239], [8969918, 17446275], [67783921, 11796598], [80215761, 16969832], [49104663, 16981519], [14967319, 16480250], [70724365, 8754431], [39395374, 73607810], [19794366, 69704692], [62738784, 56400710], [80587040, 52752600], [7598127, 11890040], [26439909, 87862191], [92502114, 9333048], [55601082, 35905045], [83794952, 39813319], [28249189, 26971068], [42294928, 18535469], [95575162, 94566778], [6639507, 10888429], [60015497, 20156251], [98444111, 803313], [8934059, 47620302], [14504745, 43522851], [5268622, 78694497], [26360439, 89036077], [23020365, 76376823], [3124763, 60262074], [62693193, 72203081], [60800032, 16743106], [22578566, 28164225], [86522331, 38525794], [39076102, 40664083], [54223544, 78126088], [19902289, 3395025], [67497488, 14654279], [71296646, 51006661], [56981357, 43915746], [32431648, 85706822], [9676683, 350074], [1275865, 5323660], [10833676, 8972664], [69664859, 55979597], [770188, 77287484], [82802396, 29362815], [52925285, 41543047], [58173736, 89498415], [86842522, 53092454], [11964986, 72431252], [86734373, 32318602], [57671815, 11922180], [67327773, 37513321], [94407612, 22279489], [11968884, 17224770], [70569575, 37679217], [44933159, 22076205], [58215364, 14008215], [70257328, 72679284], [11680422, 16320744], [33188452, 27568194], [22801744, 36010977], [95141922, 19786317], [74818469, 53184948], [6991, 94296103], [6682572, 23967290], [47671666, 42051146], [28402015, 71493415], [38747078, 81625736], [33102498, 49674061], [92950677, 56396404], [5478376, 71703969], [4731930, 18143464], [97545381, 16278273], [13271166, 5686882], [75567369, 38770974], [84756549, 60277011], [39388534, 84859677], [44862584, 2773981], [48980463, 55687798], [35737601, 32548919], [23963999, 99568041], [30820373, 18216890], [92780830, 79181402], [76216103, 5373485], [30721637, 26953282], [46820321, 52124753], [1999284, 41567069], [9155785, 86669861], [38192559, 32762282], [96625835, 36762817], [12713666, 5877698], [76627992, 67850862], [39879323, 65107302], [67158643, 67355730], [28086915, 91250430], [94854510, 31188933], [92656580, 49697835], [26398263, 54957826], [11520442, 43681630], [25816542, 15042108], [47246048, 59881937], [4954047, 48189191], [8394906, 43041643], [95427872, 74406998], [7620537, 55942525], [1889620, 67676222], [76564349, 31197599], [34971803, 46470806], [16815865, 43778250], [26960198, 20875619], [81731227, 36062295], [90504660, 73997034], [70431576, 17957078], [50732671, 60401137], [6919034, 64400731], [87700710, 76539445], [91472873, 20479833], [27618666, 86964232], [92214221, 60010051], [33567571, 98494389], [1178109, 37333642], [72791083, 74315470], [55100404, 20919503], [79889384, 42825195], [53927174, 27885090], [90923967, 42655425], [88835481, 36214099], [25623117, 30052624], [80181625, 52872369], [16136249, 85641559], [74072159, 23498252], [21711337, 95246173], [76667506, 53709611], [700008, 2321404], [64857961, 66692591], [99298294, 3603353], [38671310, 25590299], [94819600, 74995468], [80453665, 60724926], [62691646, 86988356], [27625807, 50895968], [34276562, 78381693], [81937998, 95266335], [77940882, 62193190], [62329834, 44310064], [51653952, 805786], [63334343, 70029066], [60862509, 52979611], [5876399, 98271954], [52603083, 6125632], [19762575, 52676248], [91624381, 31581104], [25095948, 2106519], [110934, 75239943], [69539956, 33156330], [38154624, 74008429], [40666502, 89229102], [85499422, 55629862], [3793539, 23102016], [49445184, 73003589], [24388769, 92466366], [58660504, 53952041], [83636380, 42587030], [3061307, 91280775], [73721872, 11692906], [49117787, 53460626], [54273645, 73578565], [82954676, 83400917], [95702661, 19584347], [88952880, 36972948], [70836516, 8593766], [17489545, 41263561], [5195935, 49549941], [49159107, 82982425], [66413838, 865687], [56552403, 81043035], [30564032, 22669151], [47103036, 29143669], [98498482, 47429610], [74077250, 87247829], [43696126, 81640250], [42487357, 60033422], [57744722, 44963327], [74720498, 45745348], [23072433, 57246743], [15791825, 34658681], [6048213, 8832946], [57593721, 72343557], [45515566, 21078587], [61172664, 78707185], [96337832, 18461974], [94907779, 6193529], [19871739, 93006336], [92634181, 17376416], [99530648, 22128304], [54181094, 38591879], [28393222, 77340274], [42361671, 17076047], [41417103, 79777358], [32095204, 96800617], [77090104, 59048356], [11042594, 13337452], [87061389, 41769436], [74599315, 85459050], [21892826, 54909669], [73056774, 41306326], [20843109, 96238608], [22275853, 70607931], [80883848, 44840192], [17724686, 34780602], [63321922, 50622421], [14295285, 27451066], [73179893, 87206569], [43171872, 20686228], [62789047, 84157591], [11629752, 93005126], [39270132, 8326879], [51544145, 21585535], [36171344, 614346], [42109837, 40011631], [39809644, 23263313], [763222, 16398844], [3626383, 93569096], [21582273, 60409690], [28738776, 9025362], [48891877, 87445985], [17933616, 23230332], [65963564, 17623770], [16915784, 13461008], [85875389, 36846698], [7413805, 93334316], [90593171, 91657523], [49319511, 72095419], [67447301, 25265416], [41769318, 40965826], [33541268, 40260455], [44791885, 60977912], [77823843, 71045301], [8909840, 78451016], [7870773, 66674548], [16058905, 17555921], [94460682, 10890526], [73902147, 61330251], [65243232, 1780280], [65249023, 89455991], [10183226, 12762480], [65337306, 33330430], [24691622, 93475776], [78768759, 27447124], [13821827, 9254672], [84544449, 37077084], [67784942, 46681386], [46716996, 42526758], [887014, 55355937], [49601140, 84835005], [5620117, 69011226], [60688441, 77777575], [57306682, 72866670], [43181973, 97763758], [28158145, 30875337], [21438068, 39069436], [36635123, 6716487], [85584783, 15322430], [96894684, 787639], [47061917, 4821568], [2952198, 94476912], [76833344, 48631274], [11930688, 28980045], [4507941, 89085790], [26741351, 88801211], [32421340, 99367808], [9524653, 96667], [52312987, 27176163], [89919157, 11765130], [24211702, 25389946], [48633027, 374458], [43751787, 45629836], [95597172, 45569785], [63812120, 71844651], [66942486, 99360993], [97134845, 90348212], [42241796, 3072127], [31262373, 26474092], [79536325, 54909958], [73849283, 11939576], [82211588, 97394034], [25230283, 72537228], [25026894, 78958877], [549438, 21893672], [28994802, 11081625], [22483036, 48962979], [70150568, 2487484], [64587718, 11722331], [95098171, 41607139], [1624615, 89668622], [78890926, 25349913], [69514657, 75337270], [29505571, 63100125], [2439793, 30670151], [92172793, 42213922], [4726737, 8062136], [77545617, 19835180], [54125894, 86399229], [48363419, 87197617], [60558872, 59838121], [89373581, 15097802], [5826744, 58277464], [33562387, 98216183], [19723605, 17706739], [69302831, 58796239], [74480774, 6883907], [51562775, 17972163], [46423039, 39191348], [8167662, 48312915], [7128478, 79686021], [74213997, 28255611], [51061100, 84434987], [2475761, 73151948], [76691465, 50969677], [16612305, 6684111], [46150246, 96006109], [13709666, 38430746], [43098414, 28815691], [86663554, 52541561], [45612380, 73060069], [14787848, 44214472], [10927114, 41463108], [16242746, 22051213], [90405773, 76817824], [10434927, 29683369], [51424937, 42995433], [28875326, 75675512], [62571476, 97768226], [66294117, 13605306], [66032273, 62264684], [91298434, 83110287], [80226838, 45305691], [1450560, 41198658], [84284083, 64899323], [6743248, 26624808], [23603289, 7880047], [28144301, 26748737], [27847059, 63446268], [44648408, 63942215], [73922022, 70942922], [99977241, 40082833], [23072916, 85664525], [38485174, 4286045], [53939042, 54195937], [16319231, 58577184], [71300563, 60381682], [90152341, 2167678], [22158312, 53804096], [83597845, 24988859], [69012953, 84346979], [2959539, 79906287], [54246172, 99997760], [94436745, 74710753], [93459777, 24328127], [89104008, 20587929], [90190776, 62382990], [22768741, 96448745], [76472059, 42121822], [39932100, 47673799], [8863387, 73053207], [44570766, 57736218], [119400, 57585617], [62066476, 26041787], [63793219, 84347145], [13710871, 99205072], [45372548, 39779899], [52380269, 51575209], [55148374, 22414403], [52130684, 29035082], [14973833, 25701923], [67322020, 83744069], [69412396, 27817501], [89001933, 17770031], [76103752, 36150351], [80085534, 37764536], [48104719, 49327181], [84200326, 913733], [8821281, 9351145], [60515296, 10897226], [85224625, 94619260], [19829970, 53532505], [47831099, 22865394], [42731914, 7332499], [92925262, 27846456], [50649966, 16438466], [58653856, 23710418], [25844732, 93132771], [60112673, 38295388], [68359496, 59962576], [19390770, 32453856], [4806514, 57328931], [59313388, 9983535], [82610025, 34725818], [28433271, 1377076], [19782465, 82372576], [72835425, 82404137], [750941, 30415924], [20124469, 34447758], [30482848, 17820354], [96040338, 59888726], [24732815, 23468557], [3628362, 86421354], [85541339, 79408210], [86920539, 99230781], [24440678, 23790228], [21950397, 1465511], [85829301, 47477877], [22193671, 47894183], [37390640, 59620365], [29022216, 17167675], [83739221, 42582566], [75467432, 52362681], [60841141, 80495711], [82337001, 49032709], [55064783, 65934928], [93940485, 29358677], [16211499, 14007514], [2437958, 4294006], [17317228, 11874228], [10966063, 31076837], [90033748, 99839433], [72557420, 44510638], [34340496, 23596267], [51272376, 44760791], [85944547, 22215559], [54420054, 89147503], [42325781, 46662394], [84094826, 45900199], [43551201, 34044932], [9470669, 17882050], [10117308, 4875297], [59530686, 51528842], [51744199, 59066886], [65647044, 78916567], [84738623, 46223396], [28265784, 53012948], [69607033, 62415741], [37149192, 76364135], [79657012, 19034296], [60193139, 93668890], [8641908, 97759939], [60123189, 59279854], [16530938, 60262129], [93381037, 29067654], [10768458, 99003190], [4338071, 16116436], [11384640, 9156942], [80180570, 17896635], [70871129, 96502140], [52633787, 9984309], [30176143, 46420480], [46463391, 57291255], [46899801, 74827642], [49923199, 58833112], [31852577, 44914416], [48048543, 47709409], [47164181, 97051457], [10837166, 55098385], [70934995, 16981418], [58347764, 96965408], [46791850, 62602531], [4191923, 36521407], [53609732, 1815603], [46511381, 43642312], [36629969, 44213274], [46500306, 37678899], [33214189, 39732955], [70603269, 45304152], [48017025, 62187257], [51567388, 61854142], [79317084, 38143306], [41991784, 4460339], [51872679, 19807254], [3087680, 43160374], [87309349, 20843911], [26438724, 19714268], [84446781, 4359208], [25295051, 28866833], [78065243, 18891005], [29144727, 73594681], [22522711, 53855073], [47484349, 51379456], [24482785, 10959680], [31049670, 44917673], [13893206, 78038512], [15956422, 33500703], [93038006, 40420120], [28886383, 10008802], [77447391, 88786320], [32265339, 99287062], [57569912, 70501557], [54187193, 79720451], [74556407, 90469613], [15438574, 78380939], [73747058, 23351866], [47450983, 16672156], [68547808, 56795137], [46761721, 93432146], [60279092, 25232539], [43378198, 37466421], [81320101, 56639552], [48718888, 1936909], [82500555, 1598984], [23230335, 75933737], [43786263, 71402582], [2348744, 55748514], [83019912, 17969447], [89973510, 24588142], [66020133, 28615144], [50919517, 11464412], [99382330, 71879506], [40531682, 531243], [91527614, 85624541], [37770255, 99225201], [70353932, 26353988], [32285745, 62700365], [48010971, 77641924], [57477067, 29863946], [32561445, 98030960], [93265575, 38326587], [69644481, 80082739], [9720722, 10748636], [9327459, 37713178], [13575482, 59625038], [16372300, 92928337], [60758527, 44415601], [49627523, 51851530], [86092076, 82828555], [16377005, 73713940], [69724990, 10661217], [60625419, 625900], [30359713, 50751815], [95062952, 78778996], [99110576, 40657698], [24614202, 57140282], [74159646, 900358], [41378565, 25825917], [72534817, 94249340], [70435366, 75239606], [40400492, 6673597], [2423490, 87878589], [53689561, 30661591], [27355778, 4938595], [82688161, 46780363], [8016896, 36790178], [72200519, 2655670], [89692306, 25887459], [28964497, 47028311], [37600557, 81648947], [53260233, 59798541], [21573432, 48817542], [89442783, 84736105], [71760837, 71834631], [53439709, 48808637], [63201254, 10137438], [26452337, 53240568], [78349453, 12554149], [92764242, 35814108], [61382283, 6268773], [68606619, 25590205], [80381040, 1346829], [66266922, 22304578], [5724838, 28273374], [48478644, 74518488], [94123700, 5951125], [70603076, 25367095], [47457764, 7762564], [80364176, 27519352], [19661898, 49632537], [16368484, 36692143], [96769703, 85506904], [82648700, 95507784], [88001469, 11039647], [66830931, 22384660], [50590365, 16681961], [9015995, 20151064], [91606432, 637512], [52678034, 49643226], [88102105, 19036117], [19363706, 67693234], [8586753, 65135725], [99076977, 8855064], [21821994, 2119648], [40395461, 3279814], [35745276, 55195099], [6214556, 36358468], [72341642, 81958806], [86966589, 93789705], [57170573, 28984626], [52490641, 7539767], [1616482, 35190797], [23164803, 92995892], [30371538, 56421563], [47323476, 91502361], [6398255, 14253690], [13845928, 63624795], [77795643, 73010345], [58256086, 21574797], [52215838, 53129856], [73868255, 38010717], [56618237, 6457663], [46647200, 43939202], [53338653, 21313732], [19716877, 30162578], [31592269, 9916339], [53399559, 1868718], [23087649, 70274420], [74991122, 9906112], [57141726, 49293449], [28241435, 12441664], [13229323, 78900097], [90443951, 95517995], [54285397, 66064356], [66188214, 97321942], [79664516, 10262624], [14126355, 47646318], [8026210, 43642709], [9445063, 54425888], [94171770, 75828950], [81507210, 375487], [8852675, 7051389], [88413660, 50242935], [13091131, 29411016], [11033760, 21631787], [86786648, 32578880], [66456503, 24687932], [37016942, 25654466], [49230892, 44525351], [99939646, 50378182], [24773148, 88824729], [37507464, 9573598], [43372384, 6267976], [25591625, 51263193], [29981991, 76231416], [43897733, 93506098], [71024542, 97422146], [52395260, 40107315], [64233613, 93371990], [9930095, 1003393], [46287273, 4167584], [66075849, 76548655], [49109939, 96331854], [716553, 38215739], [41476103, 85621760], [85576007, 71343827], [53579962, 3185655], [31187376, 78276324], [17769470, 21334729], [11300103, 93777832], [47131396, 34062168], [85710618, 24262577], [70527059, 87428336], [46551611, 29366187], [71939864, 56274097], [31794017, 88655713], [89059675, 50222824], [5088221, 8754933], [63916300, 99112547], [56471939, 80862818], [42720669, 68728586], [50575729, 69639456], [68274964, 27445673], [88771995, 77015959], [15212645, 44763200], [85769370, 51864306], [42958635, 40813452], [82248227, 74640075], [42555780, 71219645], [30770781, 12300356], [95574847, 33719130], [15912265, 74590082], [15416366, 5740073], [18675708, 14475389], [58914542, 59033751], [20733280, 63554146], [88210343, 15235620], [84677225, 69903793], [74347047, 45123122], [11758327, 96563712], [52815333, 73647829], [72150763, 43603334], [67473584, 89525647], [75035219, 24579585], [54473383, 2074639], [64276412, 18492346], [73291715, 54856069], [95494278, 88097625], [78994692, 8892864], [36245366, 11288680], [57373672, 43115091], [52739828, 44682392], [67961329, 73783269], [66934873, 50490580], [97897240, 84131262], [71827531, 21805446], [60963106, 24606537], [56619724, 9514657], [8093147, 84523624], [80863679, 28191323], [59422604, 57999952], [80341264, 23257221], [46172648, 83704884], [40947527, 51282585], [71754862, 24165313], [42385509, 82133847], [55138808, 5595244], [74401648, 43745125], [80567118, 96621691], [27150789, 51449962], [91478987, 65712072], [33383780, 97956137], [6735025, 39940751], [23527038, 36300777], [79016596, 94605394], [33788984, 71924685], [47597918, 94685173], [47557237, 59695603], [95026618, 73247052], [63029300, 53501200], [71141422, 15988213], [15720452, 52956753], [52935370, 89499400], [63693156, 21363666], [80658353, 60154896], [83412017, 18051691], [96776503, 33543568], [5294201, 55177270], [86898656, 9708006], [10016488, 14655424], [73933194, 59960869], [4247812, 34076932], [62216092, 60838397], [91559830, 15612316], [28187788, 15277130], [10211182, 31508793], [51638701, 97115496], [7618296, 49024703], [41328155, 93094125], [54337434, 25837371], [68274807, 4971845], [95654279, 75607817], [38719970, 70558469], [36544644, 23545390], [41459059, 53396918], [5700380, 34975994], [8574009, 26984218], [92771688, 80819279], [64225077, 40752892], [57290238, 41121013], [52267139, 37685608], [20986111, 56384821], [14651217, 96383345], [22124102, 45465814], [99415730, 12375518], [56397143, 63142074], [57760497, 61888130], [47198635, 72442433], [50765042, 6672087], [22393785, 28533801], [81859074, 96900151], [85699267, 77385679], [91817813, 51382783], [29263195, 80980677], [33914969, 86134261], [97733808, 9916612], [89035637, 96923454], [63633734, 84191294], [77742169, 51885783], [68489056, 9318619], [42900440, 6643743], [98655372, 83209609], [17446322, 7494752], [1188690, 78504632], [82676360, 39730834], [75194855, 33821874], [90176658, 24034160], [30847387, 32644593], [7551794, 84154676], [45369525, 91516305], [90817949, 25323906], [97376743, 25932539], [56062195, 45362501], [71348173, 39310141], [45769140, 50143895], [89812133, 59576075], [77021706, 49173466], [45021709, 69560977], [73525662, 57346382], [95091780, 37746534], [84568187, 83645677], [31905629, 66573852], [84801015, 76208052], [40245093, 46270798], [51264504, 13783955], [48533384, 66713996], [74395516, 43649814], [83193337, 58001382], [53964801, 59933566], [36649902, 79442935], [5807002, 42825313], [51812851, 5781135], [98988264, 95848674], [82653730, 84366102], [34545275, 2266491], [47791552, 72975095], [81362498, 96480872], [82951102, 76729895], [15186082, 11344804], [15479013, 26274406], [75418385, 59447219], [22525094, 30567567], [9943809, 752707], [5142307, 41150532], [37433891, 43034033], [37735026, 94033746], [8289399, 98501013], [89809614, 16036292], [44931375, 15143138], [75383266, 45264073], [59363139, 47232523], [94821460, 74715121], [91638245, 28183638], [37827065, 55193494], [12054426, 80463296], [73538430, 78946378], [8137966, 15251086], [19295768, 50172779], [71869873, 55823726], [76400100, 31023111], [50453800, 67168369], [39609336, 16666649], [33172760, 43167903], [61024224, 15861126], [46933530, 90342933], [39344931, 34674574], [68509627, 39800921], [89523497, 29037559], [68578242, 91210289], [82422959, 28787398], [58722602, 64084549], [71011780, 16723795], [86355260, 23299506], [93618069, 18251524], [81748648, 99196610], [69326944, 23898054], [180413, 35912504], [43089869, 80748414], [78301590, 44858784], [69584875, 7703765], [80625356, 57889664], [70055590, 51233399], [9516656, 95102097], [39158547, 18686778], [49803171, 2458860], [51624745, 53724369], [83608894, 89961718], [63370568, 94520418], [6484999, 58476607], [49398971, 3715210], [43456248, 16178523], [80597480, 8989665], [32695582, 14248429], [95487056, 88641598], [81616213, 53101288], [14011261, 88301012], [60927503, 20544366], [65141776, 46537677], [39401270, 92102864], [45443342, 4414767], [61084139, 94297132], [60505638, 68569400], [51350084, 77474963], [45480013, 24960439], [25791073, 73229881], [35528767, 60725608], [82753820, 42489695], [97291982, 6186151], [40288562, 36638967], [96458344, 53661121], [1543561, 32172439], [29199817, 49600836], [87645232, 68798124], [18705585, 93266861], [71269809, 49809912], [72253315, 26575353], [72057791, 90167572], [63570078, 28802664], [21986242, 19084977], [75006240, 82057368], [4226317, 30489227], [93853500, 95121474], [37401003, 38314801], [80114722, 99901163], [81121365, 32529811], [80062937, 91951884], [65745660, 85547452], [64775346, 42473440], [85782764, 62085556], [73983850, 96275522], [17571307, 98154094], [53253319, 64815660], [18059182, 86926937], [59164323, 23190438], [47891588, 94339525], [27509244, 19759874], [20449407, 4273473], [46511322, 94095854], [83364588, 98585750], [94083779, 84148994], [60333086, 63294771], [41471317, 64624565], [90373215, 2613819], [25570961, 36991644], [12144688, 36616265], [86101078, 61885807], [92474203, 40570373], [27212638, 89496195], [87761893, 82142195], [79723668, 18937606], [88914001, 95989054], [94101136, 76821012], [57271070, 50947656], [57843491, 23243748], [50688328, 19592748], [77713292, 32315888], [19742719, 92796059], [22039466, 32074000], [4861521, 99271551], [88984033, 37758195], [99112514, 63433873], [40346951, 2041176], [10752678, 99469570], [37145339, 61939408], [76088547, 89849736], [50328960, 21003711], [36252568, 23481302], [9455878, 52340233], [38939346, 69174110], [46835634, 23013690], [43859856, 27812650], [8532877, 8766508], [27574119, 24642961], [96690432, 91821137], [64167330, 64504289], [18498584, 48759476], [57660230, 52865329], [36910233, 77972492], [26919301, 30389827], [43372318, 14352922], [6161904, 98791128], [73242097, 78346642], [39261126, 99414845], [36541882, 34645221], [14125107, 38611435], [70019446, 15856204], [46438869, 74349635], [68763619, 93313470], [53026939, 69211642], [40004414, 57096085], [77021350, 77632782], [65500750, 6272332], [7077888, 31611703], [71083637, 43421424], [37556284, 82215653], [41116824, 26362005], [30709554, 55535721], [13486921, 44198766], [28626950, 58857864], [60712336, 74104383], [86211825, 36304217], [98722354, 22556367], [83332625, 97840380], [3501891, 96731105], [2311911, 61979224], [95071305, 85742247], [66365167, 40794885], [30706870, 54556147], [69418906, 30088537], [29136999, 67981459], [44097322, 68585685], [21114787, 79329393], [43247011, 10403878], [7503838, 20839216], [36565438, 42939321], [33917506, 94166835], [45164870, 62068351], [28041527, 25328590], [59930970, 40553651], [41442150, 83176058], [35839310, 87797223], [83412311, 63460016], [32553310, 53509624], [52680661, 54682387], [35308718, 72532900], [35252716, 93970875], [39132255, 31528288], [58365935, 56094091], [35604880, 69616931], [39790592, 27338502], [42293174, 29927501], [41367797, 99365033], [75582852, 57880574], [93970700, 92495114], [13434622, 90216092], [66829690, 17299394], [95714854, 78220922], [53048517, 53907003], [84090273, 42226178], [38459738, 88948746], [29679892, 49674438], [46592537, 1929656], [13895727, 29396557], [36358713, 54235681], [12841323, 52869888], [27333419, 50697056], [8442527, 6877759], [50637644, 58163667], [34611328, 83159209], [7749245, 83234090], [92760006, 66528861], [96976130, 83223980], [74490037, 3086150], [2284998, 93969585], [81319752, 96831976], [17442051, 81756972], [18573468, 75509787], [15980873, 22960273], [70329499, 16807676], [96032974, 18743887], [56478906, 45028774], [80971479, 92114168], [5170465, 99430906], [33245449, 50583258], [69633865, 70874577], [68982224, 6878108], [77628057, 69202007], [50996161, 7792695], [89234521, 57863261], [23562396, 24806827], [23237950, 62609454], [89925250, 28474774], [65682507, 95977143], [99003261, 27385751], [90578794, 39960033], [13501652, 73473386], [86690832, 35744194], [91035421, 53264251], [28675537, 11341248], [10747420, 96210135], [31801876, 27891525], [11538248, 82742720], [14688600, 36177288], [73919731, 43902252], [81369711, 58036564], [68517182, 22973163], [50951657, 15075240], [80166169, 53842741], [24287139, 3159245], [96651089, 44346841], [83118386, 98491582], [8065808, 86009618], [2905536, 22099272], [15256907, 19648239], [52541733, 74508523], [62324360, 16058355], [39014223, 28223429], [88933639, 90684340], [74740284, 69768102], [78910811, 92779541], [83844088, 63604836], [22044816, 57292607], [98652129, 26601312], [30020133, 1920105], [89529892, 76278763], [41673106, 37855478], [91468517, 49151086], [51649004, 23854519], [99614532, 10274089], [43270500, 13261516], [77080269, 45607660], [52187334, 72496745], [38766270, 67224106], [3206660, 50712896], [67286054, 23006904], [17482203, 44265192], [60015647, 14738922], [74401588, 40376698], [72492383, 50655490], [89572073, 69402965], [18712613, 77880404], [50033237, 33486466], [81447106, 84869556], [28790929, 95068284], [3990260, 38405115], [13185803, 9672752], [23279234, 43932777], [96551207, 81065503], [96707289, 53317999], [21096629, 79426178], [78612440, 67318168], [74846151, 68710617], [56800765, 24695874], [28834865, 39234352], [97547847, 78482132], [14439991, 10208105], [39516420, 65574666], [88076136, 18021413], [737316, 89553644], [15020380, 14206872], [20176359, 66377611], [14755369, 48042670], [60772883, 1188560], [94811373, 89934892], [60787406, 71650384], [27963880, 62548725], [94263986, 68745016], [72160657, 83698299], [34260477, 19207479], [707546, 85167091], [19034697, 12675105], [3520475, 38998122], [12352958, 2875053], [10309498, 20786990], [22748197, 15489190], [13447991, 24305439], [28940646, 3755218], [19915630, 55523747], [83534285, 84028634], [4261123, 31199142], [24202442, 24584881], [86578008, 91604358], [3824337, 32366656], [94843300, 76528968], [31984405, 83771508], [63006591, 83834959], [65559214, 16644877], [33366, 41054964], [62580955, 97352272], [69964103, 95557901], [31882203, 31010587], [12523247, 1872809], [35694070, 34368818], [79663863, 21479965], [23061698, 97642393], [5604240, 92694348], [58674123, 72971455], [94069843, 29833528], [78673461, 99891186], [56096281, 80422598], [57693147, 61867176], [89832488, 9525319], [32550703, 94799261], [28138970, 31571225], [45568869, 91538911], [74364232, 43183753], [74936457, 11841774], [87837819, 56734049], [96596933, 97887912], [96308767, 13070961], [15150900, 69847909], [6907933, 32339265], [15128556, 45638365], [14784673, 81831075], [56446026, 97661361], [61820611, 90686284], [22455521, 49495754], [7669370, 97642657], [61732135, 3015320], [12721250, 58658583], [18112724, 56259693], [76260256, 76965043], [81077718, 94172025], [45688616, 52303553], [52408999, 98528172], [51340844, 94925070], [70337839, 58096253], [51210495, 56693655], [80225731, 32568716], [85789818, 48133197], [29847402, 95283174], [44369110, 41730963], [31578965, 84071302], [30656303, 17152505], [26001075, 55642291], [21695138, 88332294], [17179681, 60578452], [59857520, 31726779], [61921120, 23551698], [50494949, 96754441], [81961463, 84237837], [19240708, 64815647], [44233683, 95666030], [16701588, 73315143], [83495060, 44404844], [46275429, 63926154], [35207371, 52243569], [58868899, 63033440], [52644917, 59560770], [3963151, 37026819], [18803162, 71726758], [83141654, 78951532], [39647247, 39544950], [79326310, 58998738], [16893574, 38195241], [27139524, 12380216], [26707496, 94134203], [98523539, 64296387], [94313532, 37202048], [99494821, 35211222], [93271053, 78999101], [64441853, 15124382], [40214105, 36922001], [25981399, 32419549], [15125092, 89986052], [41261764, 66383658], [90640481, 37856686], [95554974, 29394559], [68699470, 5321792], [78962097, 27077187], [34538651, 16772976], [71477019, 72485060], [93680121, 3853446], [26112101, 90139837], [15103732, 96604396], [4023420, 70594443], [11205121, 33276938], [36654755, 6205345], [34734161, 18105032], [99960352, 42010131], [6895846, 85257091], [15416622, 12937763], [75218858, 1735853], [59532258, 41080258], [35221285, 16454806], [77901210, 6892165], [40542999, 97481391], [337471, 78648080], [458184, 29031880], [47814025, 71367826], [99801904, 38807783], [17913877, 91034720], [56047471, 32084469], [71957834, 5339203], [84082450, 50233177], [76623583, 24377641], [81829500, 59554931], [85032749, 10645294], [18071601, 52435656], [62005794, 14183575], [8677602, 63853928], [85683890, 34043131], [40312072, 91911721], [50970708, 22859506], [55616153, 20637917], [20617437, 91551898], [24633593, 60167175], [47080759, 33363788], [14146373, 54079970], [89273366, 65983734], [40412444, 51608676], [47669979, 49269066], [30339115, 32707049], [33073079, 58080592], [90300073, 67124681], [77408245, 7141883], [58211621, 39127638], [41577732, 7311775], [70068611, 4363320], [66418448, 27810272], [25960440, 92463512], [18831095, 43225871], [71523697, 94322626], [8528028, 81099959], [21944649, 89094690], [14800865, 78383048], [45650486, 71360487], [99962071, 79289626], [22414761, 13737274], [24558214, 7996984], [60976653, 12087121], [2370381, 52359003], [73364088, 99322611], [99197236, 20690046], [70925023, 16989667], [25294189, 60645563], [21577505, 85788507], [32100724, 6039316], [51813596, 41849557], [33694486, 46408949], [15793687, 2727122], [36929991, 55231076], [79757499, 6000349], [55185786, 33327196], [99059152, 30462313], [87108770, 91149495], [64553284, 62982219], [9240426, 18564135], [12694124, 57507722], [92631187, 3904372], [50249679, 68973765], [32549837, 31083822], [25404803, 60654881], [61320207, 41622433], [89785905, 44370669], [54686733, 11075154], [43951878, 12497275], [76782774, 9075020], [55162802, 91005031], [31148967, 39195339], [7079203, 93895951], [19587598, 29379456], [17948116, 51924997], [96046471, 86888596], [79944301, 85050295], [88299557, 91991574], [47741984, 28184917], [55195117, 38721943], [24453026, 38820305], [69862558, 51151882], [74537422, 88971985], [80014552, 20325153], [98196874, 82956954], [25565114, 7363829], [6249233, 98300424], [32844059, 57440949], [60645577, 8066606], [13496632, 82742962], [40455021, 63440196], [49746899, 75616289], [96920235, 97088207], [61867936, 19766293], [27201818, 75849399], [33368702, 15070185], [92316609, 36415635], [83816948, 14852232], [15933806, 16952478], [29961194, 85720763], [41621788, 35919416], [57330727, 74168005], [9713011, 50657199], [62221149, 18784855], [88658849, 41528658], [1709624, 13330782], [55408597, 35628308], [48242199, 63508904], [22564552, 58685512], [93166796, 7583746], [11271793, 37806962], [42453715, 57926799], [71534904, 18758901], [18604115, 21915558], [19668773, 89414015], [63918629, 51108030], [38394374, 2270787], [66731257, 95209468], [60405757, 28112633], [59266454, 80942843], [65980605, 37055942], [88459328, 54030773], [34403225, 95896682], [72973889, 75347735], [88618101, 86973649], [20760360, 34508178], [25884365, 65332876], [50821579, 90177140], [18924824, 33490248], [91052958, 91085964], [67615814, 21192571], [58730851, 65453585], [18795543, 91278400], [56909740, 47078623], [72472376, 77076426], [18199533, 94009088], [85317483, 21545888], [76961995, 949188], [36935573, 70622003], [73545762, 62411685], [66744074, 99216100], [71812638, 7335275], [77173118, 93523765], [27025005, 14693682], [40698638, 54664746], [60112712, 84759770], [17138686, 82319414], [51728154, 71381938], [20892243, 90841768], [42959853, 70536595], [82023964, 66658043], [97567773, 52431108], [58104641, 11528260], [87274273, 44883922], [24570423, 6576289], [55982388, 418947], [29295904, 23174710], [75067683, 82788674], [60693691, 47872751], [20673994, 21879494], [11669102, 42309002], [90419072, 19877742], [99834377, 87363656], [98557428, 48978305], [68385391, 78890714], [96202486, 85868061], [71507281, 15196955], [68938325, 77539931], [78727400, 54071202], [79210870, 31830468], [92410192, 25738719], [64520884, 48534537], [65193888, 57485403], [95143027, 63949799], [3822392, 84701394], [22024856, 27575176], [88007816, 3448565], [50619307, 97954050], [1343214, 30854373], [46185397, 70037266], [12998073, 58343585], [33966685, 43799873], [23822654, 52837874], [53883449, 26310293], [75697124, 59054873], [81726247, 82774726], [74315435, 17670381], [46108672, 54063675], [79996961, 13350413], [53410327, 64994176], [93970850, 86462566], [88428422, 20327308], [42064601, 39813255], [25229256, 61350060], [55896519, 69372736], [75394273, 94216748], [47199756, 3616596], [69736680, 3974193], [52122359, 61908265], [75484199, 16177159], [23221562, 57776069], [40740045, 38457243], [66320542, 63692446], [12751669, 69417926], [16811801, 95481541], [81643793, 66372318], [8501142, 99495298], [84498188, 29789297], [36175184, 46356598], [87030045, 77995115], [94515365, 50466804], [7606233, 49228231], [39723869, 28617963], [27223064, 25964272], [17955206, 76187027], [73970271, 15952642], [70890257, 72369959], [85987874, 87981310], [83370357, 68283661], [50853433, 97974105], [57202229, 81941024], [79693079, 21587184], [69207216, 32801996], [85791515, 58722846], [58089981, 64216936], [73611767, 335297], [75175884, 49005], [49758435, 81514709], [60020836, 46503947], [70984768, 10858158], [24899645, 69751446], [71830843, 58746475], [46631890, 34474529], [48757747, 36658392], [90144995, 45512721], [76661802, 5880611], [53807924, 63683099], [36247771, 41252275], [66394259, 77468869], [72996836, 73338787], [37409674, 36975728], [41443408, 71534169], [60052492, 19271088], [30425404, 53243511], [69142806, 90619096], [56725493, 15377829], [60059621, 49306936], [90738177, 82426964], [43062764, 78497066], [54073930, 97079450], [12818964, 47563104], [33069379, 32909927], [5398158, 28016635], [32838129, 48597011], [72730005, 27276753], [73228349, 60585577], [22902408, 70613461], [82669526, 56042033], [44002578, 92790474], [43146118, 69257042], [20877051, 62080966], [16261569, 67007556], [87736610, 77276361], [42632756, 88057413], [81398277, 75612885], [26597358, 12204465], [18808748, 11142666], [6622313, 24182334], [49388202, 62003084], [57325793, 22432279], [20401161, 201776], [25763088, 27632577], [51083527, 82639978], [59051191, 93546243], [70798526, 27224628], [23625535, 52825352], [29531492, 58971031], [7870921, 80799074], [11124652, 62277868], [52158672, 27664388], [6577344, 89684003], [97722310, 71338597], [96400, 263940], [92772853, 13871648], [5404823, 40662604], [64113377, 17697865], [29029184, 78833906], [55655854, 33687611], [92526089, 76322650], [49508040, 45024738], [92822690, 50411672], [10677980, 1916016], [92745404, 13954748], [85558500, 4880500], [6399878, 39715242], [59919234, 7156641], [31854227, 88892628], [10030802, 33341300], [14262239, 36945394], [65549418, 16223648], [65684802, 89786085], [9838917, 47241613], [96939394, 16488220], [18068885, 57005622], [50862130, 57134417], [40689045, 57467088], [1642089, 67297421], [84612107, 89521128], [89547026, 5753458], [2709425, 61071555], [4062283, 49511296], [7923467, 61809539], [25292787, 48105554], [80606209, 32399828], [70780665, 29022549], [25543576, 43298196], [5214614, 3816164], [95919199, 81100477], [6634685, 59651888], [47919066, 25122485], [72954728, 53423714], [3053332, 53589896], [40866638, 95470000], [59199737, 73008205], [72506800, 20305630], [3356744, 3397066], [47964595, 94336794], [83368175, 87027276], [75277162, 28765092], [55151650, 87435167], [79215870, 78393041], [71295619, 40573231], [5929239, 57364938], [4243405, 95346586], [84051771, 51129650], [7631512, 63805152], [55006912, 6010995], [93275772, 5387857], [29541087, 66715965], [75579832, 57200452], [66575188, 70871961], [68523752, 16317951], [6893895, 87442411], [79013718, 93901638], [33720262, 29620806], [53093002, 25020028], [13356618, 50022316], [1559507, 17325932], [45743990, 45249368], [56718094, 22670342], [63775837, 91555228], [9604717, 15624136], [50499782, 70819976], [85771377, 31560189], [4535354, 86826869], [82808435, 48843987], [83006165, 41611505], [95894565, 64043631], [66879910, 58405350], [22979853, 74766197], [15171091, 59491314], [32104775, 54087471], [38199868, 56014814], [40439372, 98880288], [55192174, 65777906], [17971867, 67191509], [25550635, 71002856], [87937948, 78306358], [41094775, 827708], [51019688, 5683582], [46204243, 64646001], [8132818, 75544079], [34572145, 57629559], [27685629, 64289777], [44053167, 26201893], [54489751, 11297953], [11049955, 83342298], [13808908, 34586062], [68152139, 67223651], [96100713, 57665076], [62588504, 97739174], [57239107, 24238567], [74000381, 14845628], [39457588, 79889574], [87364977, 1547318], [70217778, 51711362], [34340483, 45638776], [46935193, 8006033], [55840493, 40142822], [42922657, 34330184], [83747625, 10165760], [79994948, 11463449], [86577261, 53269045], [81800748, 67000103], [48842029, 7961803], [5302547, 57538957], [13516433, 51543365], [38307878, 82428737], [8960969, 26467728], [73609240, 8591747], [33843462, 92459608], [97604840, 66118890], [80138404, 356943], [49349621, 31201670], [56931347, 64088643], [22582920, 15528211], [21299878, 50497764], [83379340, 44449496], [15369770, 20289684], [89020823, 25528571], [62956903, 17624951], [65864144, 65012143], [73585747, 82532041], [50717193, 89661893], [88839278, 74665053], [57250452, 81617675], [41404019, 31620090], [77687842, 26396567], [95002950, 8076953], [62739768, 32058212], [61229462, 10016087], [62929600, 32453134], [12230267, 6978117], [13883396, 75638438], [35300300, 90774253], [72164606, 78214227], [74277139, 14955126], [61947817, 43415650], [45518348, 50718869], [32362524, 86881516], [91111051, 4351922], [27375020, 6760430], [49818371, 87016004], [27617453, 41643982], [54613114, 9557674], [84432779, 90273698], [8767913, 83714439], [1243624, 16878865], [21733560, 65524049], [80378328, 82937898], [83131448, 24221469], [15463652, 63849018], [86911540, 56035328], [51283040, 11772374], [21575220, 66306304], [1240334, 35069208], [27143619, 40723789], [1586409, 75228224], [90819320, 18016919], [46975741, 50060411], [53149923, 66994152], [92237587, 50828927], [63084239, 875856], [10760830, 34411348], [62196431, 3763635], [57421150, 36695285], [50208097, 22071660], [79188448, 65597167], [99461084, 40221322], [37021103, 89186289], [95660013, 21866093], [55108874, 35592553], [57673529, 44424923], [70477759, 19069732], [68971569, 28891266], [44993750, 4692728], [3380936, 95847672], [70882481, 58852955], [93572062, 90196903], [26442443, 3592564], [78181379, 718656], [42870497, 85777403], [96207573, 34024043], [29399936, 64541109], [32714535, 94924446], [33541231, 49636923], [21921262, 32433802], [26480066, 7761839], [13775208, 73761181], [22029849, 74479641], [47274610, 55133863], [5590483, 26124986], [33104248, 9483882], [84825889, 94889607], [97022688, 32531568], [19536937, 86552757], [35022171, 77055831], [21603369, 67609499], [72560864, 9761741], [14193005, 53151559], [56381981, 1202682], [29290083, 43614779], [51290906, 12985047], [54801810, 50229551], [42313012, 18158226], [55825142, 74603264], [96212454, 43909725], [49755382, 56617579], [5704181, 24756061], [19393289, 2990059], [77408547, 36622205], [37923703, 94393335], [70530700, 47852977], [38662788, 74961753], [18215869, 47550742], [6384907, 78528649], [79400640, 89344972], [45983215, 21294825], [14895823, 41334975], [90228465, 53929515], [67080684, 58225553], [33073302, 52758091], [42406694, 19288097], [21383822, 61757247], [99248423, 89441540], [78830655, 12845387], [98539686, 31833278], [9726051, 59857671], [12505757, 67151576], [40503075, 87054220], [12852039, 86625205], [74650525, 80811941], [5157270, 68492702], [32039831, 29312659], [82764849, 91154700], [88415952, 75090787], [81624717, 87708980], [98369915, 13243581], [10927596, 30030524], [9544124, 5835830], [38212558, 30164748], [89847250, 66296831], [58925033, 49636177], [8064213, 14203411], [17519826, 20890649], [37419677, 84291943], [1597540, 41184604], [85807680, 36402388], [15334035, 98447372], [32985733, 55282778], [69048505, 49045167], [74606256, 41549994], [50499710, 17324403], [43945254, 57498887], [45839573, 6413371], [29960917, 41116834], [75522548, 48614359], [8424163, 35092425], [82902452, 78323201], [26925230, 97923438], [53863902, 46046685], [62762901, 97972960], [54944525, 59224707], [9430468, 67282349], [16355835, 96836704], [69446562, 36739575], [7505613, 30440553], [34596724, 31263163], [81040124, 45496040], [72768427, 72874152], [7931532, 96697064], [45613738, 80050844], [64271051, 29111839], [87319226, 7722297], [33889781, 5500354], [70475360, 11773193], [96132400, 72865641], [8874014, 70190319], [73956408, 57877398], [89009244, 11153392], [53441884, 8504725], [65872630, 70268633], [61499709, 49641069], [35232824, 78438268], [99754851, 43987733], [66809592, 35729672], [14380719, 32057852], [53050946, 33780686], [32268753, 18335212], [75184568, 4275472], [86159040, 35771886], [81516393, 19323286], [72205555, 12760388], [328335, 47331689], [10512909, 23870479], [16230233, 8365743], [88944722, 36484138], [3280944, 20828017], [54970141, 30731655], [15615300, 24489041], [46929519, 3016098], [59306500, 73024671], [58844455, 32030253], [84562753, 44765639], [40482487, 92921744], [8209866, 60717487], [19626346, 94286130], [40763234, 74725458], [42623146, 84975714], [56197394, 6067447], [10775829, 32291644], [52105697, 18351384], [97063237, 75410216], [13639984, 96569727], [57690789, 43880917], [81367004, 4603519], [12233820, 37808869], [20610700, 8353567], [86718634, 38260951], [68896489, 41230456], [86920318, 8646567], [45665469, 54510413], [27962386, 60090901], [54563685, 25725559], [9409551, 6548088], [85470420, 13934483], [71076841, 21450267], [16286542, 76079884], [54320353, 89188832], [48316486, 55744766], [97754425, 70889342], [89387977, 63417923], [68818462, 58450278], [11953218, 324017], [87801870, 33690788], [13592749, 73784323], [48624912, 361314], [54125854, 20542405], [297154, 21366757], [15607739, 32339828], [52420254, 39276600], [32855718, 90258847], [20912611, 28289513], [75914877, 79653768], [62965808, 13952024], [99292907, 86764069], [29795872, 40218769], [29973492, 61854066], [32150631, 21392199], [78640963, 88533223], [98281169, 33273371], [73996358, 69700307], [26567463, 79320091], [15279166, 63534947], [4721098, 16742101], [48855664, 84059946], [23885578, 33293874], [51778421, 34152263], [39281686, 33873551], [91348793, 89384474], [42488052, 11549560], [45632075, 99105051], [3077035, 21813918], [28902520, 39813099], [63319481, 84253343], [30360893, 5508010], [43754777, 78927246], [65843690, 2501470], [73948314, 24185780], [89357011, 9404598], [9566021, 20195149], [75298746, 70048214], [84006116, 33721044], [92450569, 31462393], [8156282, 49745860], [9088715, 60014575], [78710945, 27418234], [57145518, 32811274], [91844802, 70775203], [65112492, 30347508], [76225904, 78653501], [87206539, 55163715], [82692845, 51969403], [69677151, 30651678], [4892148, 41724338], [4404163, 77109431], [44136581, 88551973], [95110472, 89064971], [47318070, 69111592], [42618275, 42912684], [1069908, 92359403], [68411723, 89546683], [52082969, 22219812], [1312330, 67875078], [54240073, 29735799], [88243013, 39265248], [3476650, 24039270], [65740335, 30710104], [3920123, 93983900], [48661701, 42428977], [65782101, 8975455], [39025252, 51685160], [95000173, 12072102], [95218541, 13607304], [45365159, 55580975], [80672054, 23811046], [88705444, 6667120], [63294946, 21682030], [7336516, 34280697], [47564096, 64863326], [56110237, 95357834], [87304295, 28980389], [79311172, 69666626], [96564992, 17400347], [20216294, 14260868], [66032696, 51535660], [10607847, 90690516], [7471360, 3277473], [23715340, 11491198], [70608753, 38804065], [76383472, 70349729], [83043838, 69218556], [63928715, 67144379], [49505358, 8010729], [98248880, 26081744], [90745844, 8544676], [77013290, 255528], [22735614, 66303164], [94705733, 21926903], [8151753, 71218944], [82973998, 20477343], [92724360, 4887995], [37936352, 13450133], [93329441, 49733269], [437118, 80956200], [21795981, 82522053], [73934700, 44503794], [65755398, 8425882], [25465686, 73946142], [14746764, 47452280], [414878, 86115245], [87778220, 17208218], [35401296, 37053795], [66759780, 84828237], [37905403, 34907632], [85465883, 60429523], [14668250, 31081989], [63675452, 53585849], [39931841, 71429647], [17255850, 39586962], [65991138, 37858586], [30224214, 31064402], [20884209, 66169427], [68351978, 97482538], [53764542, 37899619], [78404762, 73308761], [35566476, 64795392], [78622578, 35718613], [21488991, 18137434], [36778150, 5849448], [25668730, 68745366], [88580399, 48230760], [94425533, 19552173], [26137525, 80475198], [11477489, 21776752], [62732021, 70324432], [36329667, 55588397], [4417933, 89179266], [9201407, 90512137], [72193806, 56261163], [33251944, 10058297], [95238544, 82728244], [63829334, 24017456], [10112493, 19546744], [31130558, 38896712], [39155169, 28424674], [12196098, 56810478], [45240403, 38024463], [43087257, 50430070], [23132606, 55323619], [19657301, 94893072], [42232847, 76344179], [10256775, 34855360], [64211164, 39721621], [48424156, 15094855], [59659053, 355418], [60105915, 14897328], [40923985, 71453196], [64735584, 99749245], [56808111, 66078368], [17946095, 92834641], [70254137, 46758243], [95035242, 32797883], [14994436, 40065583], [13737370, 10410293], [80640207, 1010199], [25447820, 69762866], [94191360, 70993433], [30242466, 47043768], [37885700, 75580523], [42499698, 70403507], [97462940, 3402295], [64508094, 50807549], [84454659, 81052575], [12401713, 75392621], [4400150, 4887945], [72965937, 90776988], [52390538, 12092501], [58160059, 60709337], [99057494, 20599831], [870568, 86697837], [11394847, 67052534], [33601280, 80968069], [25828974, 86848693], [37688164, 47216982], [60876142, 68834219], [56045012, 34345996], [28293747, 76028246], [99191580, 13043348], [78914597, 432253], [16608834, 75665429], [93698817, 64128052], [25118486, 23351517], [46603562, 69908356], [73678701, 80576612], [33762115, 48352526], [41573715, 15715445], [19310867, 73931654], [60553725, 29106402], [65186769, 40237301], [26996078, 14997711], [10570459, 96768684], [30364639, 78258515], [1356558, 38295862], [61053038, 1292135], [67618065, 64956158], [20945604, 21223110], [21827568, 84513652], [65638120, 71761181], [82769703, 86596198], [71591635, 78139244], [90553373, 4196202], [3376735, 53544396], [39132001, 63123050], [69995913, 6328917], [48160213, 74867658], [19595802, 12483970], [87679551, 78209637], [62970006, 87283780], [95654365, 29273970], [37993947, 14795436], [79218564, 72265262], [1442411, 50805803], [34618724, 35964248], [28868383, 25317320], [29341970, 4994530], [39775210, 36727740], [66182283, 69168647], [71932410, 93885945], [32329960, 9734077], [45236268, 25993670], [57340668, 61529003], [94214998, 3721594], [67346448, 65342650], [15306222, 54637612], [25697994, 22950752], [87430128, 16821539], [20822610, 14436833], [10379548, 36456643], [57307674, 90441663], [88844179, 24357412], [26765824, 18876636], [34747016, 22200617], [54213115, 96977476], [95926684, 68454115], [6961950, 48162334], [91012174, 34298033], [61196938, 51987369], [30682733, 64145938], [14032986, 26636691], [96509131, 20646128], [20885732, 67433185], [70674188, 30916460], [61593644, 45995191], [96397126, 86287801], [57286313, 98100779], [82976281, 8340606], [65292712, 73266922], [55373509, 62360899], [23188821, 43144996], [54820334, 74769659], [79758315, 31112035], [89481588, 58621572], [39003539, 88485382], [65102242, 70905529], [57897367, 32887563], [95796760, 71024222], [40215245, 32341022], [55274348, 36732417], [52864726, 15884270], [14721593, 65207632], [34552343, 78801364], [8671082, 48998186], [90912998, 3216789], [75548022, 485220], [5824339, 70682630], [14278976, 88146787], [70480092, 69506370], [21358206, 98979137], [35954176, 59847739], [83033526, 57331877], [41253833, 68153947], [30050930, 30067831], [89897852, 77913822], [13264349, 1246011], [96447313, 19260933], [79813108, 8240832], [33704898, 73682708], [19573993, 67909554], [17572255, 55212948], [49230177, 39008064], [67157889, 98662988], [3822073, 23385023], [95156415, 761089], [34716590, 54074673], [31780649, 13627586], [56754680, 5025051], [87687062, 96375987], [28850885, 88230101], [18767770, 92157289], [85637309, 52061627], [16703415, 76451108], [32823909, 81458828], [78501625, 33680578], [81956968, 23386841], [19845822, 61107197], [81670757, 40319992], [71754417, 99522750], [41835147, 34886717], [16500325, 44185058], [66339309, 95263633], [16491252, 45162921], [7024066, 64408591], [30968009, 67987287], [91604342, 16160137], [63559487, 55077591], [16280106, 57699096], [21610870, 36325609], [37658127, 84349785], [11528409, 68277430], [56418983, 26207734], [29622424, 89594861], [78546128, 99032917], [29117005, 72839528], [48283650, 35471638], [74905077, 87611776], [63562283, 6985463], [24931212, 80055230], [89458613, 193625], [21742597, 69429548], [50709509, 47500004], [31480119, 8463788], [870745, 34565216], [99454262, 69089784], [96782848, 40177002], [83040738, 16050058], [95677644, 4192458], [23792106, 27249936], [92628822, 66998337], [40120929, 40821247], [34525016, 15043503], [64254054, 97302251], [24162989, 90753198], [83975380, 45099398], [77991995, 67503581], [68976239, 71812977], [40370299, 53788616], [50520784, 80668612], [36648615, 70755133], [37256504, 17106958], [14586515, 14313701], [46158327, 57832833], [33024040, 30089948], [57721579, 10995740], [51676066, 33692768], [36908813, 76157061], [39481018, 29386424], [43834822, 18820156], [50914161, 96658634], [59223980, 90263218], [87296018, 83163069], [51446272, 6654514], [61756670, 49564592], [70633334, 51182538], [71378869, 88493049], [83228326, 70785340], [42243737, 54514022], [4591836, 58288657], [14591133, 16937437], [25612137, 47062977], [5090327, 11958443], [87559446, 69293795], [20885714, 44914814], [89674058, 81627029], [37076455, 66524494], [23812828, 53985188], [70929392, 25974123], [48302150, 37489397], [93274888, 45734261], [88289353, 60807880], [35748953, 78623922], [76167998, 1838550], [33200800, 14447971], [96254334, 45260815], [33940598, 62806513], [74861197, 50985979], [28403318, 15186263], [37895263, 42874245], [68955604, 61691331], [79302680, 66955987], [72010197, 34115348], [61641497, 25042753], [95467283, 47343219], [61212227, 89882746], [87206870, 13450368], [12568944, 70411374], [62292434, 11291386], [89620559, 16272872], [15136364, 77557975], [25952615, 54512605], [74473043, 42991390], [36335513, 42930639], [88911660, 50800028], [26718935, 77322721], [39186175, 10088305], [77656807, 75764284], [56847059, 48899895], [18179111, 9973090], [18578684, 90554010], [98793724, 52059995], [18565354, 225437], [2187973, 57124615], [38030291, 87658939], [21238249, 17119819], [47171192, 9824659], [40587251, 12695804], [41033678, 83080288], [84122932, 55218775], [84387725, 64719590], [38760846, 12081344], [6421476, 63701032], [73373342, 52521413], [5452656, 21124523], [61844312, 56835177], [98209754, 41304818], [29701719, 6786952], [86304709, 53304194], [93031880, 97702515], [76309951, 9012607], [49371355, 47449286], [23161137, 75837921], [60018570, 38733177], [30559916, 52324356], [50194461, 75418303], [76076802, 27196742], [13660838, 73314472], [94362145, 2409496], [77493633, 42116970], [69422729, 39898315], [93525584, 74019603], [73268187, 51011040], [34942922, 86881994], [69194806, 81120570], [9791462, 92816309], [54323490, 58864325], [44899523, 26724631], [55510992, 34677160], [15613811, 95025660], [85885940, 13790048], [48766319, 28276700], [25637125, 1605997], [81456742, 46989543], [43364773, 29916955], [35376980, 21509511], [85932535, 26804956], [24696406, 13410466], [26324147, 62500654], [68280849, 204972], [50095265, 30840994], [24455796, 54110605], [29866525, 56462256], [70952669, 12543609], [8873145, 2604500], [3677567, 55117277], [24084211, 93192575], [40383843, 83859119], [6258754, 33667150], [46329724, 45526964], [95604595, 31823723], [99147610, 57946628], [26668892, 60610249], [27046810, 88456105], [59869175, 77602781], [47648908, 68693562], [36521795, 50798665], [32386742, 36595413], [12145577, 54752468], [89029968, 45749406], [65640201, 79264550], [17377932, 13893048], [69356697, 34569892], [10487113, 36513384], [85447498, 2779166], [57210230, 21528717], [67923004, 60291851], [71977282, 72504839], [83142941, 74421103], [2158251, 20776179], [19102675, 45343045], [79110982, 79533012], [63030684, 71500603], [71976987, 62876730], [43272845, 48259591], [95145013, 464472], [23398341, 23219443], [14186228, 52138217], [48040068, 23041664], [5252506, 35999247], [75759079, 29951641], [49916581, 22431101], [59496781, 75703248], [21397482, 14747441], [36520348, 98483999], [29744283, 4765942], [98831808, 26988912], [13449013, 1595083], [8136802, 68390571], [10094866, 85416692], [42066708, 38167084], [89176646, 90453167], [30820768, 81271265], [1731611, 73916236], [651323, 21980691], [25844673, 44343424], [23195464, 70281980], [41905730, 97645750], [76846086, 5768559], [51719763, 56085093], [99949726, 73703489], [72814225, 6514453], [45413488, 42565101], [7590587, 61872882], [2016512, 25887568], [88801034, 27606259], [26282282, 17090347], [27622945, 67684652], [12105690, 11734454], [89337184, 36690707], [48072058, 62956954], [72796961, 97599278], [18917079, 26942441], [87543453, 67007965], [27635494, 23288518], [65317844, 62614289], [74929066, 38394384], [93168820, 720905], [19731049, 75663497], [84958940, 86434594], [9708790, 6613525], [61149459, 48981169], [9383803, 19815662], [76355556, 96973338], [65297018, 61115496], [19769765, 72514266], [33584612, 14427565], [89449407, 74445585], [78553423, 86117828], [66370068, 24515477], [762908, 42334117], [31077563, 48892980], [89434646, 9275190], [16739187, 56562730], [31980510, 99422891], [2569161, 73443500], [83445014, 33304243], [60211780, 3486222], [16799766, 34916164], [3550446, 81395810], [31009561, 23854233], [84417550, 88975539], [897752, 75152880], [39385623, 70053174], [80768940, 31784746], [64567972, 76580602], [58018173, 94660552], [22751957, 83055432], [93067459, 88829376], [31849534, 46176021], [89161951, 54101458], [53104753, 64983825], [70849567, 33794130], [74510217, 48915850], [61931479, 76950621], [45382473, 48299262], [89244148, 9475279], [57861581, 94981123], [54217885, 19950597], [53340011, 20464109], [20240470, 28937187], [3403875, 19410054], [7744260, 1629050], [63985244, 75098998], [25087167, 7457058], [61448426, 31298848], [84368169, 328188], [61376398, 12108067], [29862883, 24502383], [23586081, 84940553], [57693270, 58095523], [77948645, 72512409], [56675038, 1149324], [62603842, 51638943], [10307511, 50513566], [97812727, 70284969], [27827378, 90975082], [51306536, 3683074], [57599942, 3287019], [10021164, 2815570], [17553488, 92103453], [61460594, 90765479], [11353775, 50348138], [43730107, 2846991], [89712016, 11043783], [63513475, 70842625], [72740155, 36747394], [41842672, 14863035], [33188248, 62282531], [37559900, 4214595], [29171937, 56705556], [37296123, 58484717], [28403700, 97849430], [85157480, 36570385], [30663018, 83973969], [38648065, 47500310], [48612292, 80050467], [80876707, 15758539], [21393062, 91914050], [45842980, 54027569], [91763837, 27315817], [68414087, 25512890], [23145722, 46883391], [43615987, 47834433], [62497418, 4486379], [86917868, 84145768], [75761856, 30648443], [66503641, 32982463], [88543101, 18626729], [97971731, 15658501], [57223193, 14951500], [64593077, 30228963], [41670714, 77542222], [63330427, 85709729], [98539362, 21944391], [60509695, 54914657], [21180353, 38121967], [8639151, 64070322], [54202525, 56855254], [84530092, 98628856], [5042174, 8049457], [88196427, 67407659], [8822875, 19131430], [20545660, 55937713], [58805522, 18170094], [68349055, 71067609], [52088178, 71689034], [91756598, 31283018], [38163783, 13816183], [65812914, 60282414], [49124120, 97067861], [73805608, 47260614], [51762372, 30883849], [56868937, 84958212], [6850322, 26497438], [58076932, 92357611], [88076765, 78610618], [98522744, 34746750], [4492796, 57573616], [70345983, 20938198], [25510965, 8260633], [36654871, 6860231], [24167713, 20614666], [8965071, 60421998], [67251552, 55087803], [55241327, 15130324], [13756544, 90454341], [12180016, 72515277], [41243549, 4837903], [85685852, 19514153], [72518089, 39213852], [62815071, 20826221], [55334496, 94850561], [71644443, 88819529], [14878666, 20701145], [96036932, 89674657], [31313196, 15128609], [10018394, 90473310], [41765783, 1156497], [6034923, 34155130], [78854147, 2562708], [23171323, 65143382], [19930379, 88758619], [1765231, 13240943], [47035405, 29569398], [559085, 86254381], [23604837, 36202388], [97655645, 38596789], [74785867, 15442245], [19772954, 71292916], [21065431, 55953085], [24806658, 41670362], [54372316, 94480286], [61540963, 31388930], [86043247, 76428644], [59789118, 46715099], [93697585, 45305761], [44841922, 6145755], [6764916, 92533929], [13738404, 93035868], [39606474, 69294794], [66446880, 25919634], [57270244, 43666102], [72512980, 77987727], [82913161, 75726588], [12191265, 2174210], [95282151, 83106773], [73715027, 76338788], [60889123, 35476445], [41222951, 97828839], [39517094, 58137165], [61703058, 13732948], [76018785, 43193446], [34778932, 66418394], [80822903, 78050320], [65222946, 79541189], [25444504, 25683144], [50240662, 27886453], [44038622, 87681665], [57683870, 23591004], [62399800, 81972098], [77941453, 2212438], [85907870, 51192540], [37522205, 26365515], [80779049, 60549794], [42283564, 617379], [60606833, 2266683], [63522392, 50350520], [18745107, 787184], [66247297, 93221413], [97154330, 85785291], [47444453, 9208736], [52685397, 3336386], [66016056, 36015021], [68495407, 15524140], [88481716, 72228609], [69709011, 98752541], [57782043, 76505777], [3163837, 73701771], [94514783, 2916679], [68254058, 94350920], [22561794, 34455324], [80712706, 50259633], [19741582, 92159668], [90270357, 89363606], [89609834, 64644799], [56793799, 84585899], [90263814, 77197858], [94112684, 78067236], [92860048, 37839226], [19159379, 85435951], [80926033, 16953273], [6534880, 37363242], [70160127, 12788412], [30802639, 91523934], [45930692, 56169937], [97623356, 80483649], [85148018, 32882000], [52026960, 57022304], [22900158, 22456169], [65255891, 55363089], [18886324, 50949435], [63287085, 72036492], [51473917, 70265385], [10547958, 97168026], [61643262, 51404812], [58604804, 56220622], [20951253, 24478078], [52258568, 37104277], [30252921, 78617844], [45265812, 46316896], [44416019, 11063400], [89950144, 27194116], [11669653, 37286338], [72432837, 821842], [42087800, 31332370], [53863212, 12666862], [68813927, 34677271], [65156316, 10894900], [65623044, 50302875], [92162731, 35949460], [30035196, 10134771], [9663942, 59087377], [97088007, 5732082], [31698621, 74449144], [13514858, 27631476], [2096680, 70990466], [62444119, 25654145], [94733342, 65781327], [13937295, 17404545], [94180113, 57161393], [76615825, 30282469], [67798781, 24728815], [68946581, 20003160], [59483792, 77515453], [76461273, 92098755], [81425079, 86934136], [34342403, 84748261], [76315862, 26505935], [84819973, 52550108], [18089698, 41465310], [4126750, 80471414], [62461267, 37663345], [97483022, 65608274], [90271706, 73447093], [57948032, 70242403], [19998943, 82695691], [23693580, 68692670], [60936338, 47776497], [4918563, 78307668], [78248002, 69151966], [75173359, 64555974], [99900283, 72036455], [94534067, 36938607], [13440100, 65383569], [48219907, 77208624], [65063713, 72121887], [21511259, 87255798], [24251153, 19949150], [68949977, 83774878], [85020796, 17124567], [88484255, 1000247], [17264770, 28217943], [21748797, 99462920], [87313772, 91466069], [93938740, 39832613], [56621333, 45101757], [18324185, 82373026], [50752091, 46868562], [18822452, 16423314], [18671367, 8635038], [10167603, 49759827], [36707715, 50862362], [83865223, 52206834], [47582863, 42532095], [79426096, 29502848], [42499904, 7711892], [81754698, 86663511], [88729849, 37241710], [57975536, 94381965], [47547865, 71749790], [64047957, 62976705], [40294646, 40292978], [29403860, 55381295], [74894553, 70257537], [84513099, 16098572], [88064997, 73074970], [73056239, 61014440], [41394244, 93821473], [6284663, 1151477], [11584370, 891885], [11073338, 29117486], [47465387, 26708694], [941681, 39514538], [50922349, 9002255], [26016649, 70959411], [19764743, 95081555], [22705269, 38681929], [73223648, 50511926], [61484980, 69378522], [145785, 58992982], [57026076, 16582633], [49934678, 18631289], [49133327, 90872482], [56109456, 55322052], [78164699, 66105769], [6739429, 48071749], [80365756, 15510328], [38191061, 71928957], [7962781, 79866462], [62846252, 34441716], [82239387, 12768916], [77412342, 23688282], [18972316, 95024612], [163771, 53342408], [61114255, 37894935], [57893158, 84810092], [23184927, 22941999], [60236651, 52155457], [7248345, 185588], [61249268, 23171598], [35739172, 28347470], [14500442, 59388317], [82043692, 19710112], [76830733, 29962699], [35060073, 27032318], [98206365, 91021867], [99655283, 3379460], [63816028, 20372834], [77351665, 78464920], [4407664, 60512407], [21778501, 51599921], [48575559, 71879118], [2071148, 95796352], [9406642, 36649464], [35578049, 78734217], [49078569, 34351430], [37635060, 85364410], [99961274, 81445774], [19661746, 91878446], [89537431, 69545530], [81069647, 56589593], [99626528, 76184942], [23601215, 68356561], [79724245, 5157369], [56365451, 5562679], [7837020, 56319769], [61474626, 68862844], [54735608, 24758832], [58530307, 8192950], [12578668, 57659173], [1975839, 1876144], [13750496, 50238331], [76450740, 90228640], [4787839, 1212558], [32414429, 98852045], [81972293, 90694128], [74533899, 60929538], [79383727, 285042], [18839182, 53113865], [33867968, 9739657], [22801588, 7177317], [2362385, 93291594], [17861288, 12324707], [39999724, 77406575], [95323125, 91775183], [68886897, 94994233], [18466794, 94469472], [77751897, 12110700], [51079568, 43740193], [92151737, 12962591], [23102869, 85436355], [15173925, 13319740], [45140833, 69965150], [17217102, 39273708], [86861312, 8980751], [61218101, 86655699], [84158286, 62672760], [62627761, 80597374], [28470500, 55121477], [6858436, 96893142], [3194132, 39513662], [65312200, 7532442], [48232807, 50874753], [8274911, 95119275], [92315027, 51937038], [25196536, 50999667], [851927, 7280177], [50096361, 44982677], [35626130, 10576852], [82616751, 44010105], [91817985, 93885143], [14300706, 47414975], [42675073, 67953894], [97398973, 56621990], [89195439, 42457739], [15589042, 572299], [6769150, 73615479], [55510903, 85441514], [51693406, 30226690], [23745613, 39420236], [44170513, 26169652], [84300645, 17327840], [93797867, 83126555], [81465495, 32833569], [10790876, 10810642], [87514227, 46964349], [64633769, 16958897], [12894909, 88241252], [31032006, 54176134], [11044154, 73803288], [83154770, 83928809], [51565230, 89119179], [26557617, 93410817], [12602193, 57371558], [86201787, 71569222], [28341566, 93614624], [77137062, 77196390], [39762373, 95183546], [5426213, 81075645], [91495548, 71231298], [89020933, 94519220], [47503044, 79338290], [97217734, 82210006], [73070481, 54009323], [52326618, 49664150], [39689700, 9373261], [14352000, 56417483], [83988603, 94126777], [74127107, 74216484], [21575937, 30677319], [17976543, 24063462], [74114043, 43150888], [13516198, 5555954], [37588813, 68347622], [79715812, 92155241], [15803124, 48925925], [40881836, 40143652], [88168402, 71469585], [240095, 26374186], [9397640, 59508270], [80803697, 39078886], [15286472, 36493578], [31768232, 21393378], [90528275, 36165105], [91078246, 26004833], [26083990, 48468025], [18501186, 41595595], [64594877, 71994407], [43527344, 59358453], [23123028, 85507739], [74793310, 77888933], [64653716, 45715299], [5049964, 25381680], [72137190, 75607247], [85184547, 14434310], [80289603, 67008557], [23211777, 24475330], [77791838, 5963213], [61113431, 602371], [88612666, 74245454], [73757095, 3399692], [78723167, 14467172], [42988007, 35301106], [82493019, 90146286], [42912661, 28497956], [97730546, 13191299], [26520361, 2266439], [28229808, 13747652], [45593266, 50828400], [57702071, 36017448], [90014601, 81593482], [88527314, 2051947], [14151555, 41028788], [55437492, 4307186], [24660705, 59559410], [78339766, 13620038], [30485198, 77381169], [4361924, 61652550], [57739660, 99112605], [70196257, 58131501], [73999929, 99098362], [63445153, 30326703], [54166899, 44562931], [95961556, 40282794], [5142748, 21808499], [57080789, 16311354], [70443419, 90374716], [32043160, 26401176], [35433889, 50549784], [91983407, 56274770], [26672917, 38605341], [23882795, 14667883], [48269549, 59561162], [89845828, 57404554], [61558613, 28121500], [10128122, 53599472], [79387313, 14921220], [35081901, 76966631], [77248193, 6211525], [27489864, 69955613], [69992117, 7589212], [43288172, 33585756], [24080290, 30366100], [92672592, 44883912], [89816071, 32013954], [79208078, 5897107], [62655221, 5976], [51497961, 94078885], [47499841, 95286793], [2258404, 88864363], [46799414, 9119026], [76792048, 56200487], [55752060, 96033654], [2324766, 40980379], [82155200, 90843983], [51371587, 45948622], [60715201, 79615898], [2611532, 32248151], [2619252, 79128081], [29557495, 55091374], [95194561, 1423669], [75662464, 6403545], [89289671, 91570048], [732398, 86202794], [2275400, 58338063], [10845401, 9544553], [49287466, 28559747], [31843484, 70743938], [99061450, 46729876], [20268232, 60584648], [61905378, 32129818], [31065480, 13330376], [80015237, 88064451], [63452840, 91624623], [34086370, 54572693], [27078378, 81226649], [66310652, 29177178], [10532576, 48552547], [36472037, 91324372], [50718646, 89667906], [14443993, 8048733], [32061648, 72949029], [98179049, 12988127], [32858496, 55873294], [67681274, 67517502], [47836205, 38962793], [52811828, 74413074], [20920161, 49380755], [80081699, 52728035], [30630607, 72650605], [41164348, 14471599], [32664559, 66715407], [60490407, 67594481], [59397761, 70948310], [15360681, 62132282], [13007497, 95187117], [21760445, 32622790], [89463797, 97374084], [2250772, 67846581], [53802652, 43739092], [74666540, 46422600], [19484379, 58711633], [86654293, 21922305], [61578932, 43863316], [84281021, 72652967], [40009126, 54649910], [72384973, 28705931], [1056978, 57258016], [88365486, 9961968], [487863, 5509627], [10524875, 22277736], [11147560, 8084623], [50004990, 28844007], [94419744, 50639478], [43955939, 19702718], [2461079, 43174196], [2162708, 73094452], [86949408, 93234091], [2694304, 54183775], [13183886, 41296754], [4506844, 9528093], [84651986, 70099325], [17055224, 18541547], [9074163, 60730903], [89048157, 98445969], [2128690, 58912045], [73045095, 15591962], [22037218, 77877762], [95592889, 81424852], [19372518, 49672006], [57573288, 83549122], [33542812, 43110391], [60666476, 40219782], [89710942, 74126678], [72935053, 46431568], [82163439, 60776339], [60707349, 26532910], [99296598, 37107888], [53441029, 79736873], [74483710, 28652903], [46005326, 61004053], [69271200, 11956181], [31213529, 89695967], [89402121, 98999695], [54955622, 79722255], [29136378, 98333618], [72677840, 88427050], [9381713, 80361801], [30114316, 13184285], [28373308, 38816481], [39130815, 7489034], [39665541, 35531388], [46215585, 41034310], [86264830, 80028154], [92371358, 29257094], [29434848, 67244062], [36881214, 44808974], [7153477, 43031429], [82863907, 73182718], [21975797, 21495525], [51331899, 25877167], [99271110, 17129781], [65926492, 73504261], [32031900, 72637529], [32635071, 58681277], [33106866, 4441954], [72911287, 87094246], [91798508, 39781796], [38099917, 66216905], [19255010, 15454313], [42355364, 14525279], [5039073, 84814832], [20028101, 52876440], [99481326, 78825514], [44896261, 36415269], [12384690, 42824506], [21011938, 97117222], [30701320, 19272275], [88262869, 79474641], [70915787, 4713541], [21631699, 92926983], [3361186, 37179582], [45154468, 94166139], [25722224, 73245015], [55688252, 93696091], [50229136, 98568065], [93773222, 46072091], [41285492, 52736981], [32606449, 73019552], [22389743, 21090900], [82692847, 19636069], [11940911, 44378322], [9259397, 98358039], [26830847, 31173874], [30073766, 77041902], [34307139, 97079054], [96170701, 5539646], [58164942, 47856438], [80679654, 44868847], [17867106, 20576588], [64555654, 99793883], [35427667, 19091225], [23059369, 15093602], [79028968, 13842069], [87249182, 33055307], [96050251, 41948225], [25647505, 14733616], [59424898, 78720024], [97734429, 79888006], [49269915, 19638562], [92825624, 46901502], [40854938, 34360961], [6047519, 45779447], [19253004, 80561010], [23422277, 94888707], [89847058, 35104754], [31598541, 93075579], [13923906, 32803137], [95401468, 30498737], [84026640, 39832], [89366329, 57718884], [31719095, 85053635], [31095331, 90362756], [11986621, 59731351], [28695771, 11268333], [69148317, 10104395], [28304260, 42965704], [45070675, 60391575], [40851405, 80554297], [36630483, 54142767], [26727418, 1989950], [71858477, 66272772], [51410206, 38150809], [7894022, 97760497], [37449379, 70770093], [19111453, 1331581], [30470513, 58707047], [1128638, 75714400], [63519200, 8192932], [72189767, 99866049], [53710974, 59502424], [17065556, 28723521], [57232668, 79464086], [42311753, 81830379], [45035180, 30537183], [97855129, 75485255], [70579608, 12816689], [11993045, 63373137], [94044007, 96357596], [44760954, 31957492], [23338006, 74399288], [40742176, 42956072], [3668324, 44103378], [89459383, 93488733], [83494827, 41166473], [44435336, 17115854], [75095653, 62817785], [38115901, 47306195], [35580823, 93631239], [31817072, 35301137], [43331192, 85840498], [87743403, 82549611], [76553348, 22827107], [68236229, 77343800], [41616824, 46633774], [23902798, 28491711], [86570170, 99254013], [93586800, 79065938], [98420202, 28508561], [52183243, 25495215], [27392416, 8213173], [93421320, 85815989], [73445259, 97652665], [3154473, 78982251], [60660462, 52595232], [1416550, 49015562], [73022338, 57238360], [15434938, 32618992], [81534901, 2962621], [22981285, 34597276], [44576888, 54208883], [58619219, 55083650], [42868189, 60663516], [22575119, 77836840], [61548129, 92670014], [56021544, 7432734], [97402902, 89160132], [64857915, 42489858], [23838335, 17787212], [7922236, 69189669], [47103121, 52005777], [41758563, 75363111], [62481678, 46169143], [3220386, 63565043], [21131766, 78218611], [21930786, 26766787], [59512175, 79715688], [66449844, 83526725], [1071105, 74945781], [38196304, 79657384], [68460578, 95750974], [65888320, 4406336], [44292469, 95533900], [46214636, 86046945], [79535664, 29697415], [93581173, 95138509], [4203717, 10246292], [3024204, 53757204], [62935409, 49488063], [58350787, 67748857], [42954136, 64424787], [21426994, 59510877], [39245185, 7793835], [95006784, 43597812], [90429439, 28772031], [83801630, 34412122], [77438202, 73081747], [600432, 61567303], [47986740, 47309237], [6420611, 7239958], [36543562, 11238244], [85080557, 75186073], [30468003, 4033401], [83439013, 92763653], [85981024, 13093859], [46908726, 51644330], [11992237, 92140589], [96801980, 12374072], [57841316, 51893077], [69313313, 13999885], [28934327, 81577497], [47237051, 48924737], [75424631, 23313651], [84996735, 16530097], [3952990, 49432582], [71333627, 44198624], [56977422, 7947896], [72010856, 18432730], [7193908, 91876978], [86958791, 51586218], [63819212, 54291926], [62309177, 51636888], [85340781, 42598168], [72955493, 66234642], [44058160, 40947641], [78432248, 73907577], [4013666, 57853719], [19388923, 36153660], [38483468, 96765221], [66891657, 56737986], [67308817, 53720269], [67182100, 97427917], [16601514, 22523684], [51402645, 9842492], [44061120, 36490784], [96413476, 85871528], [44619236, 6330191], [84765766, 96004146], [78799124, 68469921], [3825183, 7213034], [88336562, 45709256], [91943214, 56053706], [63930436, 75364220], [1629997, 25178656], [87725578, 57228057], [93935680, 49221235], [5624818, 32382110], [38889317, 16526620], [35145961, 40079156], [27795426, 48540563], [43929144, 73133822], [68637396, 31672941], [44846854, 43242350], [8475627, 20093715], [60514221, 45002406], [94779113, 24438536], [41451903, 66382499], [4330819, 42361948], [9414954, 63842143], [40267037, 76209737], [84416470, 72320882], [44442433, 65186807], [83434506, 4932322], [90504447, 56669159], [6815313, 64866667], [27937449, 78291270], [55825125, 53159228], [98333601, 14154695], [28496803, 4994644], [95319872, 76481768], [31256732, 87367454], [64544664, 64410311], [10633808, 92349891], [24655138, 40033393], [81865813, 96609482], [87424475, 65055427], [66427071, 87210030], [81295130, 1429890], [32782403, 73605973], [5616891, 45694385], [71725790, 95103327], [26564598, 55111126], [66580810, 6698976], [27092829, 27098503], [31671988, 17903536], [41191114, 41738521], [598907, 53230768], [58091782, 71035461], [9749754, 91415458], [53779423, 77816150], [27836113, 24843624], [64983879, 89996651], [93889396, 38857961], [68503294, 29367306], [56149585, 73264890], [8885810, 94584536], [91349062, 77577327], [65577948, 39090221], [81179008, 1500487], [76504764, 24465], [82299572, 50582345], [46284613, 26974728], [58149310, 79439818], [75384593, 41872502], [9172060, 22988895], [66670099, 17877694], [85188550, 33116661], [73209934, 87336305], [49147644, 31326724], [28025119, 79697339], [12949619, 65156336], [40139762, 6262615], [68344079, 39910236], [65206109, 22282273], [61480591, 6393962], [86486904, 59220115], [70426706, 11556343], [4703591, 11993894], [50043679, 43867101], [92455343, 13899202], [66923518, 5803601], [98574236, 65122275], [46181113, 77223765], [16576212, 57620109], [9854609, 85370386], [17187604, 60107933], [25060063, 10535931], [16397899, 22296372], [47627378, 52698625], [82943226, 49985585], [8950665, 25995092], [89756476, 70052361], [34545530, 56070577], [50765314, 64962194], [92119686, 79170505], [92680523, 29004364], [90463477, 42107451], [43187664, 95884290], [20704830, 54135033], [33533908, 60499633], [36453153, 35230547], [80844103, 53655824], [58762052, 76573576], [19311137, 56071630], [30558629, 94795808], [59677068, 30170434], [64151620, 77255233], [2715359, 27366941], [88922947, 48830292], [76029919, 84082081], [34863079, 8201841], [16477788, 99335379], [35287743, 336101], [58959839, 7423827], [85902835, 31133219], [50295970, 20705831], [79036867, 26911123], [63295587, 40486366], [90038896, 40150050], [81492699, 11237867], [89767274, 78260980], [68800704, 50995506], [8037462, 72512302], [74443088, 93519099], [74289207, 27918258], [52153704, 6880501], [85371058, 35798599], [49221156, 5864367], [76410626, 21454731], [26321795, 97004791], [43641753, 20516388], [95125913, 35776816], [89008488, 87984705], [55530033, 28256057], [11089729, 41436366], [36644103, 78207961], [96272279, 83726403], [16147005, 447564], [94410656, 24040866], [65953205, 13681219], [47727716, 30093816], [45565604, 49850760], [76653747, 13609068], [58900618, 79457148], [84008497, 79641415], [3683695, 47720590], [27703012, 28885328], [82746516, 17371828], [81620073, 97380593], [34075974, 38946868], [70568676, 17853708], [63571724, 32209089], [2005938, 71490091], [23673520, 67122680], [10229497, 23772913], [94522618, 39301466], [93354943, 30220491], [16286709, 61395776], [45749578, 58682153], [73450866, 28818331], [32231678, 69385592], [75768834, 2963374], [40250306, 69423340], [20404611, 74088607], [21950440, 61900294], [23781487, 17651287], [3226526, 8373833], [63618818, 41766375], [94019615, 453534], [91245239, 2371275], [56136633, 82833076], [4965196, 9684522], [15892983, 14114696], [8684047, 18107871], [53765031, 39867528], [23549426, 95666563], [67031055, 45215878], [86210098, 28338482], [96710602, 22704086], [44932524, 71798535], [82744251, 81362948], [11249241, 59634829], [67362883, 44136885], [98086327, 50513776], [6038228, 45828792], [5793303, 75836769], [84448910, 77908935], [71461554, 21780167], [52027874, 26275822], [92241570, 72713398], [36619404, 87395722], [45415311, 28396642], [76517239, 7112590], [53807154, 47879438], [7368141, 23681881], [18702302, 25929615], [69642125, 47536833], [15065135, 89661455], [48580236, 12095502], [44294356, 99469097], [26303653, 13339231], [82696098, 59943435], [97587021, 46970336], [51987870, 93251177], [92809491, 8051327], [58014467, 94298963], [58025896, 17772989], [99819302, 31137793], [64080422, 77202890], [21078043, 37243237], [84208768, 64858213], [49341203, 77137931], [56869937, 15049199], [5794115, 4087615], [16364814, 36447428], [32876180, 21764023], [91421273, 88580735], [34841507, 17392180], [59659694, 8968977], [51948720, 37956428], [42636244, 61664481], [80079222, 2334968], [57051788, 4977262], [32419081, 36186314], [95894571, 40267658], [64955102, 52620959], [54472326, 49706756], [50179516, 16887621], [7278995, 40091979], [47752054, 27393777], [23195645, 55299817], [45534487, 89523486], [33929531, 83947316], [82189805, 19006033], [66399497, 65494853], [66138610, 98689710], [13888801, 32619632], [56435666, 84967893], [59116987, 37673012], [80408618, 64780614], [18170095, 8082666], [1384157, 59775723], [10415282, 14184971], [74678310, 70430619], [89333534, 66120452], [70350134, 99870187], [76399132, 55284863], [8344511, 57179022], [85942159, 2708720], [76604922, 83653039], [53932363, 78271719], [61625515, 37915112], [10114197, 87462667], [8785354, 23106530], [89594052, 77181858], [4763940, 97920780], [30149686, 32576197], [49333857, 13121859], [4665520, 9391264], [49815226, 81281253], [398717, 30896973], [64320291, 59499489], [146498, 62002376], [375809, 3480085], [45202376, 92582020], [2602011, 11760799], [17174851, 69770097], [76712729, 85366826], [37149211, 39902257], [50321512, 37909197], [90777140, 26828299], [94772496, 90422470], [86016737, 86919587], [95777455, 23379964], [21743788, 22974123], [59390719, 7796145], [80751870, 90657662], [7754131, 14121438], [30902304, 83381785], [78140661, 67966310], [85059560, 9912948], [70382173, 70339702], [38346588, 16796928], [21116826, 94791414], [26203449, 20633041], [56242329, 25290926], [52143387, 72974481], [1502913, 14836741], [615526, 61413086], [66130087, 64011937], [84954520, 95520468], [21665403, 65912997], [37514193, 37800612], [72055614, 93493389], [37458582, 71667622], [87160930, 85386453], [30438136, 56951395], [67709114, 15428003], [25261083, 24656541], [64813553, 10028565], [5970841, 44475302], [31606309, 29787903], [35444651, 64921571], [57367846, 77280939], [64747804, 24410733], [55790235, 69785673], [29833405, 75511569], [4578688, 90482285], [58672453, 22727975], [80608528, 24850362], [35272891, 16610835], [91891523, 52013820], [72495690, 86113669], [4772225, 63032538], [68079357, 96784479], [60423213, 9524872], [84133693, 93107854], [55232317, 11975122], [68114284, 61461888], [88159299, 81961619], [66206513, 24432172], [95027037, 80778340], [96655157, 15321522], [34044984, 58575848], [60455301, 87892602], [79468691, 75468588], [81654676, 21350628], [37392263, 24916285], [75667799, 89292406], [52538835, 78133980], [6706251, 81830135], [44455508, 28607257], [25687611, 35121384], [53714099, 18259772], [17014479, 19598998], [84906840, 34984738], [87665599, 79854134], [41218942, 81333300], [39887064, 68830895], [46770738, 3278817], [13308506, 46750726], [24523918, 64463952], [6053666, 1179774], [61742212, 12271393], [13746100, 76575610], [77538887, 23136027], [9602863, 36872153], [78137884, 36285279], [89628519, 59039565], [10336900, 41717663], [79354789, 2805377], [94643374, 79927476], [79276290, 65478322], [33835469, 8035604], [86184494, 24495054], [46936967, 5749887], [28775143, 58760802], [16373821, 87939972], [176975, 35596575], [58723436, 25811524], [21507695, 45875770], [37398408, 19221298], [47776869, 85193026], [70251842, 99499535], [65157858, 5085050], [65779497, 55357863], [78390236, 73827906], [25702529, 98371743], [34899728, 94889985], [4831379, 83261671], [45434128, 80001475], [82093329, 52233369], [32449472, 61327676], [15897163, 23581881], [43276691, 74937494], [38946522, 57949137], [52930079, 64233299], [85887499, 52123301], [14857989, 16533429], [12873821, 68360470], [40686515, 98456724], [17417907, 69183828], [10651447, 5798877], [2278506, 90954529], [22516364, 24570912], [13345414, 55148807], [61074672, 94791587], [78647096, 94944240], [597864, 68563725], [64662822, 10268762], [98434128, 80225585], [62580869, 64181454], [80814907, 14643343], [213059, 57352504], [42422817, 99061926], [70249460, 4368815], [43950865, 73141592], [8334400, 85276930], [69684867, 99276395], [69148544, 2330332], [8298325, 18496156], [45612967, 31351272], [62217928, 34143603], [24270053, 1887137], [46109792, 16904698], [23046079, 50638173], [27212560, 64294734], [2100182, 42864693], [22025956, 77506519], [4492729, 29383239], [15009887, 47860598], [17694497, 80386110], [37877283, 97968970], [40652475, 93275127], [18261097, 53919171], [41669473, 93519793], [92174882, 13429468], [78681048, 25943033], [84456171, 66629480], [72525744, 74446689], [73933367, 91366213], [75300025, 73496825], [12366249, 6590980], [80526612, 60610405], [82224200, 24251836], [3682500, 4493338], [61998758, 17256734], [33764237, 5340115], [59506119, 35643749], [14657932, 40742636], [73417490, 7949448], [42089205, 81269124], [88559800, 84372822], [37059879, 52279136], [28230012, 9533466], [9167567, 55177441], [16594014, 58076263], [21447342, 35325745], [56213175, 67543144], [11178124, 13142624], [6466841, 20742336], [17126777, 85104944], [80313343, 36553908], [70458964, 24965598], [10858073, 55482916], [69583422, 53166098], [79830639, 83009006], [95575180, 81618045], [58769052, 99216627], [4804594, 80148780], [7456203, 87857627], [19961991, 9126990], [93144851, 70640825], [8343387, 89400969], [3188660, 99406575], [95395700, 2068002], [92653117, 10395816], [37385426, 72893704], [93592426, 47725811], [84747252, 66176082], [34623934, 66308096], [42758516, 42334147], [26397353, 78802162], [54642802, 43088219], [74675274, 81742981], [27916880, 54445303], [6608490, 9039424], [59123273, 64994033], [84604550, 13042785], [82282074, 99908151], [96830685, 76782245], [58530608, 48422118], [92152943, 60980009], [63025025, 29699635], [96542822, 42235368], [53720583, 49949484], [97473833, 24783868], [89837517, 70719325], [85243628, 46566492], [40319514, 27831061], [37702126, 80096664], [75567292, 89890044], [5475751, 95045725], [2394107, 1652003], [53626542, 36563086], [85406469, 9638034], [82589570, 90746564], [17533222, 29921522], [37142673, 30982178], [70937774, 24705299], [17132168, 88696818], [21407969, 77654339], [73128477, 48304420], [10754899, 2243782], [1730611, 12686972], [52182108, 25991903], [16834916, 10568187], [95231652, 44471465], [6365345, 90021199], [73344909, 39209530], [55323129, 74049399], [92964383, 37910645], [63461605, 21507933], [66363700, 53841199], [73034289, 3987367], [39623849, 98166840], [84728421, 80401421], [98398363, 41162303], [16875921, 79563667], [92290778, 56081848], [41862181, 34910915], [86525978, 8852232], [33438383, 35809943], [85913132, 9671876], [18123669, 38508287], [92470021, 325340], [18370097, 71188389], [585240, 1647233], [57137426, 22733808], [51173602, 55006748], [67480299, 42228062], [76301445, 78637604], [89302201, 52676637], [14104339, 41550488], [51121935, 5182733], [64923006, 11195218], [92495148, 57958343], [49062085, 19022341], [7126483, 81304971], [56895909, 72287245], [21832479, 2798302], [93281714, 98829449], [31064548, 73227484], [39485356, 86663719], [62406723, 41750149], [17003058, 6160920], [45902273, 88670558], [62221909, 56913189], [83758086, 94316993], [11576974, 35680792], [64499129, 53532458], [61110162, 36800064], [75165191, 61163689], [5395971, 43136604], [84015218, 7813718], [5977661, 18252065], [81110611, 35287762], [97420925, 80833874], [23590360, 34687704], [61167558, 99855628], [51519362, 32730179], [76391767, 69058534], [33652226, 76763069], [67394590, 12858146], [78884592, 75450726], [54504314, 92100103], [46738914, 73384143], [43014373, 40735686], [85144579, 83571998], [19443018, 30589928], [81551933, 29188501], [43033213, 73023232], [92709207, 92460615], [56283290, 58334054], [96391977, 8518644], [9817394, 99736373], [75073720, 92173178], [41434672, 47519553], [67982994, 79418699], [90029923, 32385597], [41008153, 77948024], [66024595, 12263839], [46550002, 69072244], [23699598, 28689985], [60669904, 36788912], [84214759, 72706783], [14282880, 79255875], [1887599, 44267305], [84680081, 20069954], [12324488, 23331386], [28442409, 9250771], [92477608, 23983877], [20876837, 42376357], [64277060, 7920170], [72832255, 3378101], [42904877, 12272568], [96661126, 52018085], [57088053, 92975154], [66166117, 30810581], [55564345, 77484617], [82991776, 5234340], [23755315, 38414132], [31660725, 5213070], [30618994, 85883423], [80970746, 45561904], [13925621, 28426019], [76928033, 70407378], [10177265, 29033434], [15792327, 52209621], [47115060, 33962535], [22328174, 5915430], [85103479, 70058466], [68489513, 20451945], [77651548, 1395070], [27196656, 65815402], [13864863, 82087138], [11852474, 87344918], [3594903, 42193377], [24329147, 25971316], [79388651, 40896413], [82229979, 7313579], [27894596, 39102374], [23147756, 25585362], [27176540, 19639580], [45932817, 84373876], [13185625, 97858391], [18586386, 83613856], [16513854, 4398018], [32219095, 41499421], [66912391, 53348880], [25116212, 59224318], [66598522, 63572483], [88239703, 51539766], [51046610, 18076765], [18212227, 18972566], [5314858, 3095741], [58746553, 61197077], [80180794, 62602949], [79268670, 76156113], [19442558, 22323943], [96283589, 54465640], [43255019, 61560297], [7329421, 78674394], [56619506, 29666695], [86170900, 14032887], [77402605, 86851985], [31996002, 62014556], [4682018, 29493194], [69633224, 32475289], [7019828, 82318178], [36008412, 98246834], [14771495, 32151106], [42602871, 4680522], [89186415, 5376798], [48805211, 31730469], [3896347, 6305984], [18106055, 58405024], [97710331, 20224887], [8415312, 82600837], [25667462, 8598519], [45704472, 28421279], [18402668, 67564298], [37355659, 51461606], [77355834, 18136133], [87058900, 71279378], [99519845, 97591861], [43728578, 19462169], [28776514, 35824188], [95106282, 18701546], [98554205, 41371647], [50657049, 99095458], [95861172, 5585310], [39717321, 9689158], [9470440, 57574584], [31989342, 80340871], [81566592, 39609322], [92529889, 79688466], [76585056, 39201580], [77184444, 82399004], [52441959, 41160714], [6329209, 53270852], [18265052, 54594291], [3443042, 83852886], [15423757, 85003738], [10122409, 84315360], [73987005, 39967623], [25995144, 46580538], [67381302, 19330145], [68804464, 17580027], [35408494, 43100372], [99515135, 55707312], [8416206, 98187837], [51520400, 51564732], [85100020, 51586122], [34458653, 56493066], [90333092, 84558602], [84636936, 8928905], [71229981, 30750075], [42588208, 11090732], [23192118, 86372713], [87211020, 60590838], [89692744, 16357346], [92722447, 41155303], [98648306, 98554481], [13816125, 82791266], [5025172, 49790501], [98213740, 3742667], [49095292, 34881090], [20268087, 1347819], [95220312, 95503364], [63014670, 6657919], [92500744, 84051952], [59558750, 42110715], [35908974, 53776254], [41797596, 11530909], [39881552, 23113261], [14054262, 25625153], [57737329, 32383790], [37356871, 67268458], [3435891, 55779442], [43243367, 65668788], [11230345, 75900599], [29757255, 3766496], [81198823, 36223696], [44282505, 42929432], [47158626, 32048466], [46441774, 75496731], [41355589, 51288518], [98273958, 24368855], [87174572, 23637280], [8554987, 11228330], [34093769, 50031565], [95095353, 75404416], [75287444, 53615167], [47662840, 32049095], [51164830, 13817345], [36812757, 76671319], [25498104, 24055179], [24017843, 73733062], [96027610, 31023218], [93049301, 51029948], [40008956, 10584875], [46966627, 81822222], [91389992, 32956545], [6896941, 55534552], [31488684, 87803579], [67338979, 82244510], [21072001, 29433417], [49877389, 50569620], [84819652, 55263788], [99057808, 67031433], [61094008, 98043010], [48288892, 52244369], [24447974, 2292618], [19996881, 98734215], [94580708, 11420972], [24105666, 9536470], [51972910, 63986099], [75550917, 54396819], [58046162, 47149237], [97854860, 43177104], [82153152, 30106495], [62613968, 13751667], [10158284, 22137624], [96202496, 60670630], [31920542, 64108336], [46146884, 65976603], [96344125, 98160593], [75042673, 81555625], [43160878, 47028579], [30653199, 59134629], [94640266, 55444296], [56636937, 82091065], [82442440, 76557981], [25468894, 65286261], [3124359, 69021386], [23691377, 25242947], [86730311, 43229220], [27593626, 58634208], [375523, 58744362], [89690013, 79173870], [62452034, 52229084], [79343411, 87320963], [66194010, 51731937], [9985940, 41634516], [98087745, 11421098], [7140146, 67493178], [54559335, 51824661], [88213010, 3497887], [31132811, 68271317], [90808965, 53552841], [62292782, 61389658], [10705985, 48374438], [82986099, 32416073], [81588210, 88360956], [61322263, 43257073], [34135362, 84178390], [60947690, 47942518], [28254998, 40560230], [62240191, 894116], [60180841, 14281485], [82822233, 13522774], [12937248, 10099586], [70723014, 28815510], [5211632, 82323857], [87912080, 33826634], [77951872, 93197754], [11619735, 29620830], [36905404, 88418521], [64564513, 33635642], [27855934, 72032653], [44048606, 75766927], [14384554, 36196371], [16613011, 70763195], [27839589, 4791760], [20186920, 95643180], [94046621, 95530501], [63379726, 78770908], [33593907, 4273388], [42272817, 31262443], [64719527, 97121518], [96916645, 64422853], [12018451, 89509375], [25087655, 37853333], [70787127, 81856495], [74906057, 52114593], [70520518, 48383959], [81145750, 35634770], [23383836, 56889595], [77421262, 7721378], [14972958, 12352055], [23725140, 40623006], [90098877, 26867886], [76671697, 32721912], [67951699, 1628538], [20944975, 44385984], [46701672, 94128977], [3299954, 53388595], [86365765, 17345397], [59216554, 99554010], [65246343, 11312077], [39354005, 48607807], [71794220, 55465384], [69768129, 81038515], [69218423, 98773821], [94241431, 10534551], [34141061, 59060462], [16692762, 32295391], [44240199, 33567301], [21025140, 33103603], [77569407, 94220248], [14175756, 45938223], [76998009, 92618657], [66892690, 86402971], [59237282, 75574256], [91927165, 86131848], [24377310, 748982], [64451659, 35010734], [5770631, 39602502], [82509738, 96572449], [85943459, 89511678], [71814725, 18285712], [14185350, 48975623], [69655956, 4362849], [87449701, 48268069], [47711012, 68172768], [97139504, 32274048], [81322273, 89789101], [17463194, 22654226], [5107469, 14252112], [12889748, 93686738], [35683278, 92202771], [4611115, 61590620], [23578240, 42025746], [20446743, 75657143], [4605250, 31912280], [55736842, 94558549], [7611984, 71723762], [25384485, 69112824], [19971461, 10097065], [33347413, 43478896], [62692614, 43279603], [26036055, 47085330], [31687130, 51554851], [82632210, 64196560], [88893370, 48945653], [72433701, 88038991], [75513484, 31812625], [49011466, 61465757], [19087463, 35598474], [26240751, 80612149], [22910988, 57281813], [52508613, 18793415], [48594394, 37411315], [92500013, 7992674], [34669081, 15521711], [77394872, 18057106], [55242504, 35302107], [70868238, 85201030], [60546748, 64520807], [64165302, 49385316], [14511177, 17368342], [27737335, 26943168], [60121358, 7290768], [81668344, 67797022], [42284818, 69805709], [37606660, 65851300], [1477247, 73478319], [94487102, 49679907], [27257405, 91344747], [65479748, 3999055], [42821568, 4116021], [70455951, 73765775], [32729027, 2094498], [56688087, 71443055], [55783846, 52778178], [30963397, 98019552], [63795841, 44711340], [19634547, 88847072], [84375723, 53366707], [6696940, 94699708], [48647193, 94274571], [99645119, 26241196], [64349726, 17091655], [91531278, 39729429], [43172717, 89524634], [72150551, 56571965], [62250288, 72961717], [63143012, 49163012], [79236742, 68831605], [66569455, 15182395], [31076061, 98719105], [71147401, 11395977], [54781465, 1113006], [39710038, 60550221], [86772639, 9189496], [90978054, 7856188], [52058958, 16747501], [75111851, 7576510], [9249875, 93526969], [55020690, 44398752], [94800884, 65309615], [42550178, 92063498], [71072225, 99290803], [90398635, 77865643], [35569016, 43519553], [79817516, 47978902], [79844174, 97084035], [38747547, 85282050], [90612053, 43187923], [26002974, 63874908], [53050674, 51594598], [92054126, 416582], [24469546, 94396112], [94799530, 484741], [62730462, 23783156], [70916248, 95748338], [29060809, 997157], [42940415, 4415931], [20374790, 95367163], [22956496, 36652439], [4538955, 90012878], [93313916, 11066952], [73647734, 98338868], [81930502, 51989002], [55993782, 2534677], [46962513, 81477978], [49356051, 26325950], [86085651, 20373270], [8984905, 54303198], [63957691, 14372623], [3956561, 98033036], [37089134, 11005729], [89599755, 49938598], [27383436, 29094590], [73190173, 32846114], [81265612, 45318502], [25510058, 8383418], [10459169, 23545157], [49220042, 10473995], [67823231, 88560817], [96220629, 86339976], [54235572, 99788193], [65165426, 95193412], [16971914, 29480414], [5300164, 429237], [53119574, 11371590], [31751127, 90279793], [30623745, 67368301], [38584344, 42742042], [62066329, 36409683], [73745328, 28862506], [75255129, 55688708], [47509789, 66998034], [74617602, 19618603], [19993155, 63598596], [59703370, 60131852], [84975494, 73096790], [71313255, 91839221], [49558725, 11559973], [2214998, 60424157], [83658110, 57866428], [27248242, 56918180], [58886162, 59225511], [75122246, 19873628], [1672516, 45380465], [35325383, 67957019], [86356385, 73032318], [52247010, 37066417], [7968213, 47855594], [26149290, 97123232], [24757848, 19737758], [31643463, 78389323], [71714599, 18031024], [78542744, 10528610], [97118993, 76652967], [27701503, 91041621], [27626662, 24701268], [22972635, 84275656], [52264452, 13329779], [10029111, 38457857], [27188341, 19277934], [32750643, 50982238], [46680098, 75473451], [30537738, 73547943], [97895926, 99047163], [87495875, 66511372], [52843556, 78959867], [44740185, 60314534], [25611416, 73016102], [38964566, 25931453], [8110966, 68535888], [32671235, 7635356], [62579084, 24921966], [57710358, 96311602], [73485313, 19464494], [65533802, 70230779], [96416273, 72167548], [95412044, 28698123], [73019350, 10650487], [19820904, 20492388], [14522299, 51507283], [62380892, 76664586], [60227242, 15632718], [74432302, 30444021], [59473382, 49824402], [73282652, 75943543], [32878676, 46166664], [74404046, 23040017], [13231098, 94375251], [89889849, 46394362], [4906304, 111205], [55605381, 88653367], [81957964, 14059593], [73461296, 70127261], [4657758, 2445886], [51573343, 29299875], [35811669, 50313040], [12711851, 69673207], [55566252, 96965009], [33623465, 50908629], [30582027, 53096197], [32008166, 46478652], [75902786, 47697891], [14945264, 62856587], [80295613, 75267702], [71781229, 18753237], [73887003, 67061346], [68484080, 80638920], [93046385, 85132031], [70172052, 50024739], [58157668, 33426703], [65390626, 167522], [69335688, 44379665], [15622513, 55652911], [47389260, 17385991], [51380060, 38307241], [66269024, 73548177], [6001326, 32087870], [39883039, 96222632], [22389739, 34444448], [65370135, 98421569], [2369371, 33824132], [88638755, 36502187], [97611043, 7316551], [46609847, 53691759], [75832645, 76909366], [65574278, 91772240], [11417036, 68876708], [51519161, 35842040], [44090347, 67338121], [5160548, 85661040], [16681077, 50986448], [8679572, 6481522], [56840127, 15667008], [18427766, 86782509], [81026873, 25344165], [29186011, 36395380], [44422411, 96626786], [40953016, 89085428], [11311789, 72762870], [71062398, 87969976], [24651250, 85959993], [82685405, 62960495], [36502150, 42617425], [39629668, 44053078], [85166767, 3881053], [8193829, 25143678], [47175137, 32064357], [19799503, 3382963], [92062030, 387814], [4926966, 18405094], [49544939, 20781389], [56755088, 9256652], [62182413, 7883322], [15093212, 7516779], [8798392, 62237560], [95732951, 47207671], [57885925, 60550453], [57184868, 94155812], [45468, 18655890], [87188488, 92065302], [82853772, 5191015], [54721696, 97069128], [733788, 64971069], [60206697, 59514275], [11861605, 17079214], [1468930, 18324978], [80111700, 64854918], [65391720, 43542360], [46318702, 61493300], [90706866, 13756655], [93207573, 15596772], [94268813, 23388746], [81537614, 88524862], [27420430, 71179696], [12084187, 61954862], [60535701, 62486481], [31495617, 7504379], [30947520, 58215112], [11737033, 85979721], [30822232, 20038461], [3126569, 51326612], [89534990, 34769723], [14523985, 19025880], [86528823, 49727191], [98611360, 87354737], [82161878, 51050087], [93467808, 66109732], [96214789, 47806045], [56519925, 38279970], [96092525, 52146614], [63913878, 44949896], [9819071, 65960629], [7610726, 91528431], [35163630, 20110408], [12505849, 74808741], [66090514, 66122604], [52914609, 52765535], [66062427, 66005976], [13434630, 55868899], [39517811, 77911050], [39062511, 62933972], [58232525, 64652384], [5926781, 64830732], [89202317, 20824379], [50903428, 22105433], [98314683, 57559450], [110970, 41605940], [23667604, 73564204], [99785599, 31462692], [8892811, 11850379], [28036853, 34585531], [54436943, 48779927], [78836285, 27914228], [2156212, 54967978], [1845988, 4081113], [22072469, 66243592], [47082642, 56793013], [54400033, 79713778], [53748839, 95322823], [60032215, 85084749], [98509756, 63258207], [32168673, 59772474], [59416748, 37920425], [12506232, 71044766], [82441084, 78455306], [46215315, 42970424], [5673909, 42223292], [33360220, 86079741], [7587606, 49648595], [53873433, 35357521], [61588801, 14511922], [20756858, 60162190], [84008099, 94583841], [74714351, 45525998], [24288444, 21413601], [37547294, 13637140], [78260591, 21423546], [64831437, 52469718], [48738095, 62959014], [38105071, 78045573], [31086468, 9369354], [83666535, 64691682], [45754295, 20486084], [76091335, 30088541], [43948663, 78278402], [4172650, 46136630], [9355772, 94921514], [47368108, 84731651], [84209591, 11469818], [3176045, 74526154], [6950451, 51618500], [76423895, 17471577], [90567205, 1824062], [89806647, 75716235], [27003962, 44352004], [84372121, 93140595], [27785477, 49505887], [19794072, 43602404], [18512670, 91390960], [29626487, 39182373], [15989517, 45488826], [13687707, 94864297], [81428139, 2375953], [46294003, 32894944], [76212784, 71429468], [52615765, 92246304], [9284070, 83200628], [53745425, 95327220], [55024373, 32015611], [55040714, 79707202], [63985576, 33464481], [14885232, 44116889], [8070240, 36768002], [5769293, 76684139], [34901644, 89334977], [55095948, 29870001], [73608736, 71056291], [84968282, 80220009], [4813765, 31671262], [97332815, 29957013], [85057303, 19086529], [69308952, 94162650], [56852207, 94702625], [10994674, 65794028], [14130061, 87030704], [85235866, 5941748], [26886718, 63619942], [98913199, 78563156], [92106787, 48353841], [82872737, 22195985], [7980759, 41620664], [20355239, 58402719], [74836414, 10161220], [36624855, 33743260], [39716111, 7210799], [42310720, 89378238], [26580481, 60124868], [50372307, 2106170], [56283200, 92538521], [95623707, 53752209], [27541936, 37483790], [23151603, 12037661], [81591851, 58023483], [55162870, 57461554], [29848762, 27318325], [17367368, 71219124], [19204573, 58520452], [90501467, 68489003], [49529062, 66801741], [69485114, 91159122], [43955655, 86297295], [1327141, 96018782], [65437610, 76134409], [72977683, 10997356], [20070646, 65986349], [99646370, 51457868], [50988754, 11416531], [16793207, 32986107], [95103807, 71434369], [21889467, 1913807], [44302983, 22808999], [86154314, 92400198], [96726242, 76987178], [80977965, 21969165], [85076118, 88365899], [20048706, 50355791], [68022772, 19786852], [11255695, 76142675], [41636710, 37368492], [17129703, 5803260], [61435191, 15978437], [63222825, 10305993], [92425291, 41813239], [12985452, 79195969], [83647054, 56178094], [77302387, 3089030], [65362239, 15758634], [23817281, 40918882], [99746387, 9288378], [64851521, 42709680], [41689340, 26299617], [47942265, 57338326], [72429334, 67606594], [2566310, 44450385], [30940296, 22108713], [57277088, 25310967], [39600619, 28837794], [81796122, 45274294], [38033798, 6117851], [80496990, 71547318], [20446159, 84389463], [50982496, 70023562], [73288750, 73435264], [71257483, 83388633], [22382733, 29790508], [80053684, 84984793], [88342801, 6781874], [41139539, 80396853], [55890620, 9240007], [87413369, 57036687], [35347953, 203867], [61323453, 45735234], [93177695, 51655398], [2864624, 49722118], [30712917, 68127469], [52628393, 14766997], [32292057, 5739994], [10550628, 41436481], [16522578, 64814218], [16648076, 27292897], [56712964, 22849183], [33038955, 95948296], [55692870, 2928524], [66522586, 89681359], [63024400, 98466548], [47370183, 42314244], [13844797, 54788239], [52888410, 76295544], [2644156, 59333633], [36988782, 80070924], [96206451, 22778175], [91144661, 37255625], [64236472, 54584169], [41246063, 31279384], [61160106, 50063618], [65598012, 79002338], [19106098, 30718187], [20899675, 62967762], [54774614, 44491589], [51460197, 86946232], [56635432, 2641580], [72245338, 78907952], [32626147, 194202], [88655474, 23661460], [36018712, 95409043], [75735076, 51942171], [38642495, 38080592], [47786935, 25896427], [99859420, 71802628], [57042408, 15695003], [83808586, 41431763], [61932415, 73007809], [35153701, 27010183], [13517996, 43580561], [61806448, 29541584], [31422115, 51003229], [72082723, 73473182], [48910867, 87526538], [19080001, 65760513], [18264894, 32449116], [91629117, 96277883], [51234973, 53865736], [57020520, 12152371], [44657589, 76112467], [466462, 36246832], [90967249, 98904804], [42113121, 11879531], [52647343, 93820307], [19188419, 76791928], [61652668, 28764848], [58750519, 68141072], [5454303, 49941151], [77678619, 37150656], [75241317, 65569488], [47531671, 14608683], [96175892, 83103647], [76036704, 82794955], [87894798, 55941577], [86408198, 16475078], [45105424, 82123311], [30785002, 58856274], [66718736, 78112522], [6346190, 59500109], [52752505, 6116841], [23179308, 4328079], [67080324, 15728636], [83283536, 62082325], [67694477, 83287378], [32859129, 63866269], [922016, 24488761], [28936360, 15737832], [51786566, 5743081], [76951056, 38411345], [59896540, 13104473], [45835466, 46290942], [26340449, 79797137], [18445403, 26850408], [96598975, 17327627], [9225776, 55795968], [50589049, 66804965], [50819485, 9458562], [13056679, 36073922], [23073520, 9454504], [58875641, 98728723], [50655438, 69465766], [81034869, 37710075], [7370493, 74036967], [71844079, 22454886], [92601118, 29686927], [70348283, 92735373], [33056489, 83090362], [21502933, 44708360], [28355627, 41968702], [97475721, 68885314], [99391840, 66210790], [58076753, 21209800], [83724410, 19754366], [71588658, 13800265], [47251200, 85554105], [39874610, 59499387], [96507402, 31257601], [64399783, 34371108], [18441892, 42191812], [5826467, 56937406], [34513299, 8705071], [18287981, 83047743], [99894232, 71605815], [55211899, 7173427], [77312631, 43933560], [56425328, 69501942], [94907185, 98098642], [82893482, 21795809], [6578527, 18126009], [50675419, 57174598], [48524550, 43125563], [84130400, 46959903], [70464624, 79888797], [13897069, 63389682], [11025746, 84339441], [79514073, 82186023], [41769347, 62973191], [8854628, 57459762], [94906622, 32778198], [13377083, 64423110], [56072540, 5179899], [40154196, 99786051], [13946563, 8826809], [17278605, 77417635], [63586673, 66421600], [83799741, 20359436], [68678873, 60861198], [73870362, 4673608], [95846000, 62037400], [22436893, 14270871], [60320759, 50328669], [19620138, 98593494], [81721809, 73973385], [95818186, 79683845], [58724287, 89585322], [10308754, 50478502], [63893360, 74804171], [37010545, 74015922], [25694515, 32806615], [54862376, 61046221], [44873759, 90281615], [10364217, 26979266], [61674570, 67159661], [5746505, 48207427], [65665301, 35582920], [27863506, 12431767], [71907938, 64485038], [62850868, 97110534], [18602042, 45649317], [40558615, 3117306], [73103663, 94777946], [64003355, 25570960], [76714765, 80194170], [17550606, 33174896], [61232547, 43484739], [36939274, 86984666], [63172607, 33679676], [70248267, 24687092], [65503735, 13668394], [40775052, 95852575], [90436805, 83082150], [51465343, 96681495], [23733095, 83793843], [48523702, 32607761], [25555192, 27472996], [72521123, 37172262], [49430162, 9895831], [7979411, 86615573], [30196189, 70126190], [91728978, 48298078], [71995084, 10385637], [98173116, 82207060], [48392602, 25394898], [33314733, 67219580], [91601648, 78934492], [12809598, 66236135], [33925520, 44047330], [99517708, 23418731], [94449337, 31631934], [92214919, 3316359], [86882713, 5401597], [50228584, 57517656], [22350362, 20527536], [78354242, 51418231], [45831252, 32660527], [31765661, 8040753], [20958943, 23316402], [54503473, 37617009], [70178699, 94310260], [48003460, 93348331], [96433575, 65152718], [51088750, 68871563], [56621673, 35018309], [59822939, 48092584], [27539825, 92861667], [84446422, 82414743], [53427412, 43909885], [75418197, 15015651], [20285070, 26063445], [54868737, 37854138], [34026545, 52377567], [82976783, 58494503], [21185607, 98495691], [69620926, 26677472], [33292797, 73912211], [50090610, 66878474], [20963346, 34367837], [46420102, 94329746], [57134147, 67931785], [28728367, 89842300], [60373265, 7705003], [68672058, 91720553], [62472242, 13127037], [32474946, 32215297], [45842050, 71100442], [98907440, 57778365], [49092230, 15996821], [582575, 80222477], [78152103, 69577706], [65433786, 35680424], [98253112, 53398429], [79117968, 1527716], [21410986, 6125492], [81074438, 82693341], [10078151, 78469719], [66156188, 43432566], [78448092, 61038017], [54290131, 77968945], [58455312, 59703631], [47748355, 21124023], [45726424, 3989480], [20115408, 52056379], [59038632, 5971513], [52812324, 97554794], [82118369, 92239275], [19902952, 69142183], [61468027, 94207900], [31146404, 92145989], [39688305, 27916694], [70017304, 98000118], [14880472, 29926244], [92497199, 46262967], [81730951, 16603231], [81397637, 9705284], [71933439, 26094551], [49462752, 32474631], [61562283, 20691976], [86767219, 16665914], [44040483, 77609870], [78254543, 98804418], [78558418, 61089269], [24884532, 33211691], [84263678, 97461721], [5103962, 15334218], [89272160, 40629556], [11113044, 89874931], [4474480, 42844034], [35415887, 84174247], [69703330, 31927256], [87152016, 51658317], [98520747, 35330209], [27065389, 32212037], [73611806, 24168135], [29481618, 22545166], [48906862, 40694209], [10658089, 91374796], [48263203, 29825331], [37755451, 41184662], [88927843, 61168306], [73283219, 99561606], [76432344, 69469356], [42656183, 54208416], [2410930, 81688864], [21779752, 16056677], [96565022, 8350776], [36493870, 23792825], [77870320, 48807711], [21933070, 78878558], [76663065, 61402859], [16733981, 16170097], [62392977, 69368657], [56250006, 68960127], [69953118, 92467722], [22906831, 87327177], [2086224, 74222317], [74229278, 47505518], [28529167, 50812135], [28852556, 85258435], [55693407, 70765494], [21905363, 9643813], [88152815, 2885552], [43390421, 71808934], [66036789, 5718464], [88856368, 22235861], [24544348, 74671657], [72184200, 6724112], [83747255, 43474929], [41825496, 21111218], [7516850, 48469190], [95967224, 2689659], [32922028, 90688387], [60222390, 96813081], [70368344, 83303418], [58638942, 15221791], [92952926, 11988466], [36310901, 72019983], [59701068, 32092970], [91867806, 65868535], [35295672, 44527609], [67341430, 59170834], [73952731, 23639819], [59755250, 78882866], [65634305, 21826972], [49586918, 31561340], [510695, 16469626], [49108471, 20366926], [19390341, 8436096], [90341523, 58337611], [61025880, 3772152], [19174813, 96267087], [6446535, 97349845], [95678446, 82948304], [61269820, 56969609], [38351686, 18447311], [59774620, 80061867], [69259812, 93954685], [32643375, 45193384], [83793396, 34293129], [53674883, 83492649], [80043264, 70874938], [22000206, 65327030], [4919315, 44698554], [28025771, 24195357], [90834904, 28683914], [1696443, 85093934], [27374709, 49709456], [92856831, 5950141], [58648855, 83100639], [37789199, 96176334], [47688913, 21553604], [47510781, 19126449], [78579156, 58417822], [33331374, 72403993], [22339231, 23620555], [32341878, 36191176], [68962902, 81278751], [55360793, 28793121], [34978832, 85807620], [47362334, 93937633], [97799526, 67759886], [33550607, 5656408], [25301918, 4296401], [64701419, 76971376], [22431760, 34408114], [27356781, 45080548], [11617130, 8505876], [10266029, 9679752], [58592675, 84067596], [4644146, 32604784], [64374852, 13267484], [68185237, 87004171], [45552542, 71765307], [5282682, 74856178], [71887765, 26300406], [75579369, 23061815], [92153721, 11950403], [37613397, 50624525], [98533424, 91343226], [27907015, 79246467], [70333395, 80112722], [80871447, 86988870], [84841595, 2691496], [73948709, 63385983], [94238879, 39237025], [68753439, 32601752], [71201453, 51084174], [47206481, 59286424], [70441603, 67584757], [23513457, 32606083], [25450858, 79605837], [28346811, 61890784], [82254421, 17284474], [6805836, 58979065], [33372164, 17669467], [49387184, 39886732], [84790798, 13517075], [42379631, 61602021], [72142530, 84128262], [90495058, 86391448], [54528835, 63849102], [10882120, 4239021], [38251886, 891868], [58644355, 36479239], [61489900, 67512024], [44735259, 50476799], [93942601, 71699005], [96811854, 25703983], [53798246, 40281337], [69248890, 81164408], [39807238, 27581430], [57172033, 31083630], [59554318, 23533815], [71463243, 50641724], [4757797, 25897316], [88010539, 74734313], [89729194, 17890062], [65759126, 51836581], [86337333, 11165638], [79196057, 99673112], [55527298, 24339057], [27774516, 23142465], [30714648, 3375508], [25484219, 28043975], [82624398, 86043890], [656357, 23581743], [78272943, 38212073], [3836127, 35613566], [63962095, 96589842], [89793973, 52198170], [44737155, 87686036], [17201201, 91880301], [42307913, 29447982], [93157403, 44115280], [15967969, 53997489], [53683846, 54683745], [43200215, 42048072], [99755613, 76790777], [46182369, 10149166], [71085534, 75557113], [53715854, 18396593], [94032739, 20942691], [86307044, 17124250], [20478608, 85463289], [49899522, 36719028], [66519586, 15718455], [44845094, 52983895], [11789810, 73819425], [51551119, 54537561], [93735027, 4806320], [60700412, 97079198], [64259731, 56936243], [71774569, 51636533], [5080968, 46882738], [37633644, 75721124], [52266650, 89567076], [64932847, 25031318], [76957902, 29872872], [48549122, 2876805], [25899632, 81716982], [4358514, 64248378], [17117576, 95637527], [24165452, 31455063], [79617389, 86639907], [30589866, 51673588], [65999934, 78042366], [29570019, 29709433], [85037440, 51043608], [4024483, 27004365], [62467067, 28226672], [93420469, 11315795], [8606930, 17210763], [76105230, 62693109], [52207692, 59729809], [92761300, 39229892], [44169081, 86867525], [32836025, 28305067], [56727402, 6037777], [66450090, 36699029], [99852228, 11409554], [82133263, 62166149], [60297405, 21179585], [79022273, 8990087], [56980833, 49211227], [4677717, 50098438], [46670890, 47515069], [79684553, 21551362], [54341347, 23360818], [96209168, 66309004], [17673577, 73630635], [47614451, 50843349], [75691088, 24325412], [67675806, 75953952], [31450072, 16627733], [46695818, 12999995], [41523164, 89830767], [70278230, 20343538], [93499667, 88436020], [76535413, 67213408], [80080065, 11770094], [94631996, 82441173], [76803432, 58527509], [1089137, 25021280], [60144475, 18043907], [56586626, 29348367], [49386282, 10319956], [68536691, 10160476], [89569512, 35489027], [86496815, 95198385], [71664906, 89827573], [59740680, 57769482], [42216384, 70569311], [61312857, 73717783], [19221574, 67068185], [9576237, 78793534], [77835566, 72623381], [32946121, 18327395], [26126249, 83992662], [40946781, 23056437], [35560526, 57018020], [59346860, 35114670], [56022085, 54683947], [46575566, 18433096], [52778675, 16250826], [92897416, 19932987], [90481495, 19216029], [75938782, 52083098], [21326170, 24019724], [81176398, 6716135], [65696007, 70780923], [20917044, 55567829], [922819, 76008910], [33434353, 61205081], [25855497, 8769756], [21478457, 10942379], [35059564, 60285422], [58352994, 13573208], [1242190, 1907847], [74347544, 61926611], [57714069, 99178903], [6921376, 2368657], [71341487, 66512354], [48415740, 95063766], [436043, 37452923], [13274676, 89671477], [80591134, 83633268], [20906443, 35430834], [6737911, 20235826], [92931618, 53316248], [65691613, 92406645], [28421355, 98252840], [84778677, 80832471], [54537320, 68826423], [8504184, 44528699], [12641510, 25763464], [11288589, 9146629], [14729019, 48688915], [68751191, 86194097], [46372685, 62734228], [80602889, 64970671], [73586356, 43720098], [84622801, 64095979], [62783882, 30599064], [90612872, 62735830], [17807754, 86080458], [56552011, 98759619], [32940168, 74928773], [52561294, 46867119], [70339671, 35362767], [14690660, 31144615], [74516158, 496993], [60714332, 81150755], [79949731, 33336798], [97446794, 59737572], [15314673, 86263166], [44967876, 21849624], [64083666, 24983168], [43254257, 25280401], [86036423, 39273420], [75242943, 26742245], [38299428, 96412496], [439852, 58709301], [96984734, 22866783], [63781231, 16272877], [23410054, 61032570], [71683071, 56736215], [1972258, 5262155], [39258762, 18505458], [55107862, 4931182], [17463604, 83275958], [13197021, 29079883], [20454686, 42464217], [660210, 58785064], [52807451, 13545699], [66526305, 92033202], [67839687, 61047417], [95118222, 35772028], [26470163, 99645957], [91389728, 82764292], [5791878, 91791688], [23303965, 11759655], [3842914, 79937534], [56575926, 72487689], [14895161, 84756096], [11077050, 31982284], [50997443, 12610448], [47097748, 73403985], [26741901, 10625074], [77032535, 10421683], [33849791, 33959403], [10759359, 6130816], [74858286, 16640801], [21958677, 4747458], [57337088, 15729757], [74125305, 6706736], [46331588, 9164268], [40862852, 98852435], [33188295, 52507845], [75336171, 47958969], [83312210, 4856228], [88634526, 9610072], [52288637, 14347723], [39114787, 10475207], [31265391, 5071542], [60945258, 10683173], [41807369, 40494223], [97340564, 7209162], [2453642, 47040267], [64550249, 11035684], [98222094, 11813943], [22038390, 62265644], [7111621, 21238626], [25418519, 96500253], [47859149, 57482948], [472636, 34730627], [56163251, 95118984], [12912646, 95969705], [33957510, 48801615], [39720268, 36667830], [10388684, 28837371], [26456753, 81870846], [94688447, 89865962], [88734335, 53574766], [90469559, 6942000], [807854, 25142409], [46760404, 11218264], [54366088, 25783994], [9829789, 92864915], [96418632, 54972449], [65731708, 19068512], [6633440, 93800502], [85754058, 30845264], [28895530, 78893338], [83746123, 47016227], [74240848, 22733073], [33701434, 62418465], [31289488, 53677111], [92828928, 30024782], [99160462, 36891680], [82295371, 84720009], [71042124, 93192679], [77768739, 821050], [93560235, 89241967], [60184315, 90729513], [29285076, 69603803], [33793184, 73607409], [40280411, 22421686], [28211452, 57135640], [62131670, 39346736], [38445740, 13657017], [65167293, 80499724], [42638415, 3812598], [64604534, 63825740], [42326821, 73076474], [1122162, 75464231], [4736558, 95432804], [10595847, 65698060], [10190835, 10165138], [13500185, 26959851], [69256515, 27111274], [5421866, 8882871], [84974569, 52454319], [37075303, 15067830], [31372448, 63899588], [10465201, 93335286], [92457502, 58689270], [79643005, 40219918], [95790210, 7853376], [46131200, 31465223], [96237660, 27244205], [59206162, 40002369], [74799312, 88596715], [70926728, 12034097], [21036173, 81131277], [95226109, 28900102], [55556175, 38930944], [29671924, 48050755], [88396441, 13075797], [15002400, 85630857], [51955510, 82643371], [80462795, 1957240], [46619910, 92439849], [99096394, 80486656], [5485133, 68997527], [24216348, 53371743], [94971884, 3032355], [66661438, 12554252], [79968655, 94923199], [90546005, 26415236], [21117028, 82062323], [98002096, 73459299], [10784571, 81344282], [62512817, 86890652], [58955295, 12841921], [61487783, 5693105], [76167803, 97036222], [37604920, 73580237], [3012348, 11086947], [34196663, 50235915], [38282254, 76009438], [18351122, 94593652], [46943821, 42000394], [90295639, 72040848], [86706366, 805939], [96352804, 42787317], [33103289, 44010058], [35403336, 34432760], [80667062, 66015054], [95349166, 63517741], [70081769, 43424524], [80094032, 3454427], [96197693, 66754732], [80449041, 45402347], [80855298, 53683128], [7472154, 73282915], [40455937, 69489136], [38330667, 85962881], [41275721, 3738925], [89507623, 52391454], [697411, 48322134], [96748039, 51170546], [43109781, 39435575], [9733153, 69196341], [20118470, 60038847], [94759082, 6708719], [81186834, 88820849], [48348019, 50835553], [75152475, 59469504], [48956054, 61002485], [1756098, 43640196], [22318371, 55274526], [36722526, 41924864], [77116334, 41718619], [46530187, 51145601], [21244200, 58615430], [18733776, 87328822], [70766705, 30987812], [21570760, 27347874], [39759241, 23426870], [66255976, 13962226], [35542541, 6335854], [64632505, 61587177], [60239890, 22849398], [3758542, 60289167], [14487442, 36675079], [58570390, 51573608], [39245164, 39655023], [92913076, 5613007], [99948506, 90746138], [9559572, 9039952], [86915944, 80571622], [70756603, 31871067], [5043673, 60973251], [19959879, 18896055], [49889461, 41265127], [21831921, 88481243], [92431700, 32568401], [85481647, 65292087], [41215410, 61843723], [11548225, 696669], [51976406, 44480317], [81263902, 11546140], [13537806, 34592689], [59000941, 6510627], [21092210, 55321151], [69419357, 99539194], [67186483, 89049113], [78257802, 15469945], [50729981, 52528913], [81534264, 92731489], [68080154, 81247004], [64901834, 78093257], [55818945, 43124747], [91844079, 29900252], [46095398, 55611763], [88797939, 40051339], [90635892, 20551273], [12941072, 35267062], [71255423, 42684910], [92414759, 17120811], [24471322, 91271018], [37320108, 27721429], [2090109, 42499641], [61566573, 51153771], [38447384, 59696116], [95148795, 36355020], [50737253, 41359694], [58774516, 69749313], [81669969, 64452941], [58900348, 48000000], [46504975, 61757391], [34284604, 98980641], [45257471, 45429917], [20548650, 8427753], [40673359, 6352206], [33576711, 42588752], [15116813, 72481142], [82982242, 89710273], [30092890, 1834121], [84528138, 63736066], [92435715, 81599593], [84546246, 26788523], [16409091, 77944924], [46941771, 70160090], [40655249, 52086898], [35856255, 76790094], [838127, 44344579], [67622396, 43462196], [42854921, 45591269], [48281040, 75050270], [4191538, 62523983], [476315, 39736619], [79974200, 29151391], [90075523, 23292336], [52650513, 18597107], [24712665, 10406587], [45098194, 46961667], [47289069, 19346733], [87845745, 21823521], [79177260, 72909967], [13900555, 24114345], [8688842, 41607471], [31678131, 64097181], [62568043, 8109863], [16866361, 45910643], [51498308, 22193167], [1101098, 37499456], [83791084, 74807764], [62019093, 69914099], [49500602, 39298527], [30494282, 91709413], [43033339, 94701716], [9553372, 26087196], [69174166, 39692962], [53917374, 71177027], [56100566, 16347600], [59194243, 63199323], [89010593, 16346592], [92714624, 1168940], [22026029, 63894198], [27478627, 53924338], [47604434, 1549116], [10010817, 77941812], [41667570, 24950615], [97364362, 27797942], [39702206, 13888931], [34101783, 41868558], [62862500, 14792636], [30627966, 24373887], [89327640, 50784820], [6915806, 97760688], [91307184, 42968288], [43666611, 49651237], [6515315, 80517130], [9568457, 89106412], [29736568, 69036760], [66393391, 86188247], [47029258, 71410155], [56657409, 70919290], [20433132, 85917909], [34049007, 95213985], [88863079, 8749586], [42663046, 92826737], [73556946, 21968085], [97645247, 78733318], [16877617, 37266745], [48055729, 38943645], [12186090, 61833279], [51943345, 21954730], [86709197, 90321372], [61939479, 80429599], [16861244, 10466264], [37371381, 52668955], [97077176, 27683519], [30998923, 93280000], [45753698, 83236167], [99884910, 74421943], [48133006, 37484167], [50206171, 84669811], [37909618, 96804933], [22518309, 32804949], [77612842, 76382158], [2134787, 44157316], [29736586, 36390394], [91146417, 33451881], [24992334, 6201105], [70208459, 2753682], [89108831, 48354331], [62848647, 73953877], [1905749, 91843294], [83962375, 58533711], [36103964, 28640505], [79671725, 90964547], [99454582, 12381481], [34612683, 40506204], [41111312, 55958908], [3269577, 14937269], [2358829, 78855263], [49430622, 28026330], [96087860, 43037925], [85113521, 8220474], [53254102, 63846637], [33890082, 70388477], [77291941, 61303484], [83775940, 18060773], [19009954, 87887280], [47778725, 6776656], [45730879, 26738884], [97022255, 88107562], [55058810, 66314341], [74929436, 22371657], [88828387, 60052735], [43079197, 85362650], [5266346, 48935493], [20565684, 65451196], [83332091, 69403426], [6968028, 35430733], [60168232, 48507879], [47921227, 85950881], [93058999, 3613708], [89272486, 75016195], [35065226, 23979452], [91917095, 44672525], [37659107, 71022562], [75835616, 56534960], [85781777, 27102705], [96722544, 57376032], [45336072, 95399313], [97170063, 57576964], [79800698, 85006779], [86533111, 51877583], [34213440, 55181855], [77147897, 95262044], [93911168, 41341790], [17589446, 39410230], [28174611, 61398508], [3309017, 90363846], [50557592, 39376299], [23527386, 95109771], [62237368, 85095210], [4808106, 91977247], [28196328, 80332026], [70793893, 70182226], [41556576, 43943490], [65658060, 62569632], [61034596, 55329080], [22116219, 29270525], [65493864, 3064563], [89839715, 10438512], [8046739, 67984462], [65083083, 97432914], [46678121, 19507431], [73645838, 56229729], [13267200, 43673189], [15017456, 90206551], [51656080, 55218362], [57411213, 68403039], [40762611, 21932978], [68630280, 70118598], [18351846, 43614435], [11355848, 42885564], [59772996, 17520754], [36678226, 85484283], [93227080, 43902262], [89591463, 35873957], [62646089, 72890005], [15054980, 9379182], [31564308, 21460950], [58589299, 25530083], [72372189, 12243090], [5499230, 48259828], [68019812, 95249104], [5604276, 94611182], [84541229, 24047840], [20409288, 41506424], [8260627, 63147873], [77174274, 89050132], [68526562, 43154365], [7448117, 17219733], [34544235, 19786629], [29469773, 32852558], [95398591, 20515010], [3680456, 78658578], [28530274, 12394836], [63540388, 16031927], [47933411, 19425806], [48121906, 22328926], [76023617, 23154662], [68396802, 22083719], [68760127, 38345304], [88468896, 94309557], [68012539, 11634842], [21191106, 42028666], [30583710, 69118196], [90431537, 71299942], [76096364, 80565791], [48537704, 76143838], [82149143, 25799884], [18041670, 74368199], [51391442, 16745931], [66378462, 72854304], [32855135, 36213293], [38970769, 74976126], [74625206, 13310471], [69587586, 67403177], [37503764, 77143888], [52525050, 86309549], [65364389, 20915047], [39567616, 45413775], [76544896, 16713949], [61911980, 20217052], [35799641, 4589354], [17796079, 42768073], [20576279, 22823157], [15690005, 84164567], [76743632, 8273687], [15074419, 48844285], [81949406, 43172323], [27919205, 36428008], [8263880, 52781762], [61563021, 74677422], [77280552, 58594351], [39125088, 48033242], [80434865, 25591961], [17240125, 64433586], [7181935, 53969472], [26236165, 62039301], [26130960, 35162973], [98555695, 99181838], [81167768, 18236417], [92449811, 99201401], [67016259, 85456819], [29560698, 49810396], [4869035, 12845414], [11432184, 90004145], [71287880, 56700292], [39791826, 16841886], [99127654, 39147240], [68243955, 43663781], [32219228, 5754621], [84981860, 36812598], [42823896, 54175601], [99069740, 8482038], [81383810, 90430642], [42688459, 67730603], [37354043, 89104474], [15237160, 33683803], [79054430, 42162711], [59286956, 96971944], [66025656, 48854153], [12098792, 64336395], [6522031, 33403382], [25955574, 11138046], [71777449, 15594410], [90574577, 16792061], [43400076, 21513963], [6558207, 95215729], [75756886, 12633602], [50072206, 47372871], [35209806, 32259301], [32151884, 9501595], [50970160, 71213118], [20636796, 15579265], [2243784, 75089848], [97878841, 21557783], [50323775, 50983347], [8135856, 81572327], [8407877, 70236247], [18676232, 29512811], [93078664, 52562359], [38038994, 7106781], [27735660, 16779268], [13088921, 78160612], [80707958, 28733218], [84044341, 49309432], [76677401, 23841180], [52377104, 41346296], [20859204, 5249267], [39269288, 72225015], [55678636, 54976757], [44918921, 21269614], [38999789, 42458342], [51789609, 27643018], [26345751, 93639712], [22806872, 95938088], [41579712, 44618040], [86184239, 38711969], [774651, 96909411], [83529989, 45715832], [45978448, 17158632], [68257649, 26919996], [37715302, 86117178], [80637455, 10062044], [89892342, 44233630], [50885429, 50441754], [53335119, 18351791], [59770970, 19340766], [54902007, 86032855], [93647760, 20981601], [25313167, 78397023], [55890168, 33332612], [69912499, 99313076], [36112317, 20789419], [42283977, 21334331], [91677517, 29887992], [94954950, 64729378], [27804287, 85224474], [21118099, 82829822], [22403185, 64939404], [40924685, 18396254], [98799801, 93873205], [17848107, 65320854], [71478506, 27753894], [25636364, 43422113], [48741927, 15076331], [39806609, 12569254], [95398332, 35009562], [1370539, 73355633], [26473556, 10628881], [18919136, 53577832], [38096568, 3792967], [83658475, 68571358], [82399744, 38296441], [76613742, 63030386], [87706356, 67023359], [63264793, 92522992], [61182579, 68531079], [5469445, 79664353], [73429287, 28067221], [20692371, 76324712], [88521961, 92310932], [58182110, 67462743], [4492359, 81994927], [54922728, 5529466], [47312333, 53792604], [63748328, 4608961], [20367713, 45605879], [44305141, 99818116], [32582113, 59465418], [94718028, 68482399], [19583472, 57103397], [59806302, 88753825], [3624429, 2845541], [89272449, 1799356], [65939996, 66838993], [683351, 56292613], [32705604, 4229586], [84186308, 55640828], [61700930, 90173283], [19904195, 21091574], [69762745, 96543411], [22122404, 18784324], [77494810, 59030290], [71054165, 62352098], [28734385, 39672976], [87313824, 40047449], [84049237, 72442379], [94058319, 5972800], [9891446, 31023737], [14999502, 501291], [5733715, 73986190], [8907191, 50852880], [81272037, 98398627], [70967579, 99571117], [43450137, 54596974], [89881318, 38249614], [43465198, 81759839], [79781048, 41929603], [4109094, 89603846], [52963027, 91513092], [61747308, 33423109], [98932921, 21608065], [57664059, 49956739], [91426985, 28453248], [28433899, 13432158], [3863123, 60043407], [36152750, 79706880], [51441303, 77558982], [49697458, 55475713], [86854386, 65114346], [69331163, 41229258], [86622931, 27958574], [93225028, 82659210], [330340, 95743640], [49094559, 98672614], [35335573, 77356600], [32177167, 79746177], [87686378, 2382457], [94915085, 25067855], [69008491, 38943169], [86163856, 36359872], [54066669, 65406518], [31647290, 44337616], [41437860, 57915229], [96997147, 45278749], [78403059, 12145978], [28866688, 39824293], [7915381, 74827770], [2824674, 68876961], [88457920, 90685122], [91515882, 97474], [81291660, 97197329], [1970880, 46077336], [45706986, 60511725], [28259726, 13272846], [51084290, 25278634], [31158843, 56775946], [47196307, 41169901], [7609055, 84346961], [71447178, 89811208], [80649983, 42213205], [1548042, 99204020], [80038845, 765459], [62510809, 95975490], [2826055, 42151864], [30178931, 73545313], [70199365, 60996190], [2331231, 91291332], [12637916, 5878242], [79406699, 98950970], [95135802, 89972854], [14663737, 14169809], [17741225, 84620914], [97856865, 72325232], [7902631, 22644877], [7906929, 73402924], [79654177, 63705836], [59628179, 81187204], [39443181, 10042616], [76421734, 52737187], [88422160, 95598843], [20522283, 24975489], [25036309, 28797923], [51887875, 14952915], [61937370, 83545001], [52326010, 52914083], [54825197, 10028700], [2680574, 12271121], [44914835, 57945429], [49971823, 41351302], [67578171, 50385050], [29310537, 43748361], [68582007, 50092214], [44680559, 77718669], [80127990, 3683631], [22452246, 34640656], [79926365, 97852101], [26280012, 71090189], [82657520, 39142859], [99579323, 66174934], [30064203, 88121939], [40651263, 83307388], [58187511, 9995845], [30839219, 32111286], [79513630, 74751000], [62787409, 64142198], [51009826, 85799739], [41621472, 6239311], [65972434, 28153461], [55798851, 80640110], [89659394, 21976924], [8954045, 46137134], [77295796, 8420173], [827161, 84906845], [15496423, 41632582], [23940924, 39853820], [73150787, 65466780], [77890699, 47523944], [86170395, 65090190], [72591393, 86889861], [27032155, 24622776], [91234205, 78065936], [57374543, 15497198], [15263807, 39634045], [14351520, 1276975], [44027130, 72202047], [38402965, 10317616], [98993619, 33445049], [21011458, 74371055], [75634352, 48687673], [59626204, 51056199], [91803562, 55203991], [89028565, 37957952], [62299637, 44699225], [3591760, 74410136], [75617807, 57563522], [23860185, 43314327], [97388263, 55144431], [91395334, 56517498], [71543680, 76456517], [81205565, 89686916], [25826744, 17785833], [6181791, 82412212], [19548244, 6227441], [49324008, 99514474], [95538461, 65753553], [80545418, 54190673], [67117887, 47064705], [81524869, 21447345], [68127963, 23957976], [91039568, 70377063], [98631781, 99760177], [75983758, 54595566], [80171647, 90291082], [83304845, 38527948], [34418261, 54676868], [84325063, 44358445], [23909898, 94255279], [76617762, 43809975], [49400507, 510695], [74115480, 49234195], [20039103, 69859031], [39666180, 14998918], [2568125, 52519178], [31139873, 10864351], [95925129, 59414451], [80332253, 47005901], [1653245, 20340601], [8823969, 92760076], [49531211, 91351866], [57717992, 3912494], [17831805, 56055023], [6518200, 81461265], [68175650, 86088684], [35336037, 72168253], [10888514, 34233729], [62310538, 8821712], [35592219, 85227260], [20436263, 95111498], [74201539, 27310452], [69667547, 5797360], [62895103, 72116440], [84810160, 46257795], [60286356, 42291357], [23942382, 32718910], [46218951, 31615957], [79628207, 45005141], [64794206, 76697503], [19517706, 29652832], [24533620, 31255821], [1701379, 98586702], [66217458, 35065537], [34475705, 34273939], [65631208, 43105320], [73403938, 17579438], [63734913, 34594351], [20199699, 44242050], [97641188, 84489375], [9461137, 59131364], [95770633, 45113236], [33634478, 88979145], [85501206, 53253869], [23999141, 43936407], [11072138, 77758278], [39711698, 69044866], [49102705, 34465388], [85519377, 80849639], [39324731, 91274207], [66906667, 64472569], [24247834, 504456], [41348001, 1121155], [18556337, 66924198], [36363415, 19752732], [9663022, 92031195], [84047243, 18055178], [39683495, 30094501], [26199855, 81878789], [41436833, 10383812], [16852884, 84891888], [6539232, 67889966], [37087685, 3926685], [22561494, 8949828], [1855214, 10549389], [97236868, 66888370], [64892027, 10376835], [92025061, 86909731], [37032935, 82556158], [7363169, 73344508], [27753248, 68122781], [38389328, 19168094], [16134464, 89548822], [80335365, 43346367], [31600229, 38559938], [83770637, 44675565], [64271214, 45332591], [6002384, 59436327], [4878429, 43790180], [79894200, 42535906], [71340797, 64949949], [9474376, 4791618], [31126412, 44171963], [82154913, 51436467], [40910494, 14455289], [23535680, 95750268], [6601185, 1203840], [9599631, 62185940], [97444172, 9759487], [16952002, 20848703], [18880493, 104038], [79282843, 44814953], [58261286, 69193358], [15651890, 38548960], [21761410, 32542388], [54567060, 26242360], [90040122, 63119440], [87446227, 57828460], [28277758, 15976855], [28897322, 68999814], [25837405, 62859426], [46873975, 32349969], [58516130, 35940492], [39979263, 89666242], [43109559, 13747062], [56189866, 54364640], [12218555, 17474135], [77300097, 31223910], [34307800, 93424831], [18642669, 42642655], [68583504, 58942387], [76212467, 46895217], [18467537, 27045591], [48830915, 91855921], [3266942, 2624646], [3882214, 26835195], [60807172, 65172103], [53216627, 89472863], [34621876, 64304436], [57635374, 41211472], [52162460, 70663474], [20437444, 95471568], [81553953, 99902769], [34085292, 81680746], [97561260, 49921422], [91535462, 21305423], [22158423, 59432271], [64738360, 67648601], [94438336, 66006804], [64670292, 85504535], [9803629, 90627686], [25234962, 69105668], [32817254, 42711403], [96931874, 21606754], [16865068, 77023146], [9618282, 80017778], [64716328, 51435124], [86668308, 7181572], [56658775, 23686225], [30570099, 63000359], [71691775, 54865786], [91494159, 57810684], [10198275, 4995577], [16282792, 67229584], [84098537, 22972343], [50096572, 93135142], [54174188, 70441608], [50100647, 70924835], [32714361, 51605912], [89390800, 95045840], [87895375, 2924515], [19027504, 94503933], [63996794, 6899438], [28868794, 76907658], [54653951, 75055541], [98220478, 73254129], [44321477, 55315634], [28994284, 56399378], [4724585, 99024576], [91014481, 7774151], [44321784, 89712920], [81042499, 99035252], [48180079, 16396425], [65170635, 74980510], [72634491, 35741633], [16402700, 61335817], [68141510, 30904497], [11261295, 50637038], [39262125, 16735297], [23065556, 47528768], [32468497, 62115158], [69256081, 45319225], [69767475, 66333596], [31395866, 668717], [39172036, 47603913], [21590613, 19995113], [10976707, 52639219], [32069631, 178766], [43576735, 79772168], [4224377, 28665782], [2867054, 17339909], [67429823, 24274598], [70791952, 23152750], [27002019, 96133694], [63007699, 69055731], [29710076, 38638644], [94042, 30439987], [75077321, 78966771], [83683127, 83032239], [94673946, 33321987], [26280123, 72645282], [51881394, 36496059], [99108847, 96144661], [60944008, 61214172], [12170292, 53405024], [41580649, 14301651], [64334008, 94474830], [42575613, 30222979], [20078292, 90616619], [77963874, 7684571], [34708764, 2302770], [63014028, 17676968], [23969150, 20096029], [7677572, 70821811], [12465835, 3961081], [33503262, 46252419], [44896290, 91209094], [40887920, 80208544], [30214727, 50472277], [42856998, 29960410], [45599606, 71957876], [25130307, 786683], [33389586, 85537554], [58721374, 7451571], [78350914, 28606714], [10757379, 65285445], [11888337, 35099453], [70490937, 94232662], [14096948, 52507420], [63026141, 76875940], [26625360, 50591702], [85317868, 36162925], [95857839, 38625714], [35857878, 67376271], [71306391, 55377419], [42162468, 19283668], [75768478, 6468615], [62303776, 75490731], [46233148, 22939202], [57141677, 44603788], [972050, 64243974], [26884242, 23473157], [76609273, 91554064], [695793, 79990834], [19035342, 97726328], [56724295, 10965998], [11494251, 67460203], [48713303, 39665433], [30812870, 43305730], [81614015, 91758219], [42801613, 34181256], [24480865, 81926409], [30442602, 15565747], [45547862, 10526631], [84718077, 72097169], [30750698, 93218103], [25054631, 96951194], [2668155, 89195175], [29061882, 41352509], [64250353, 86761345], [91076796, 33248905], [99690961, 36311820], [50453391, 89346755], [42580119, 20373684], [5315656, 75987466], [3600249, 44773118], [5909699, 86308557], [47048235, 9145013], [49920810, 54275237], [86582987, 74673048], [37211855, 64089209], [14698516, 10174986], [24426996, 65900817], [57272337, 14458926], [55738135, 43069393], [19691767, 69225580], [70115040, 73502560], [14577125, 90004202], [49589826, 61411370], [68696003, 28976458], [14574371, 36427595], [1301826, 89869995], [55458838, 15299506], [32875740, 83422431], [69947882, 87211174], [36699169, 98118090], [91653031, 81092731], [6070335, 35477357], [13774631, 69174277], [84977655, 34609707], [86465478, 79548222], [61594237, 11114161], [240601, 98572796], [33709815, 12068871], [22892528, 2174562], [13976388, 97887916], [25148303, 57841742], [99432779, 270726], [91753835, 90011309], [81400967, 82746958], [28746700, 38542228], [8199614, 54954616], [66810876, 98527673], [61450500, 36542284], [97158136, 37108202], [20506950, 96898131], [95945519, 34784122], [38729014, 61732377], [7952736, 61278820], [35154825, 13579227], [90959867, 12726582], [89224494, 8444498], [64480210, 20724175], [59637967, 60770171], [80639891, 52221594], [51068756, 45712205], [4535232, 90098050], [7422327, 37576906], [12849981, 86428956], [83450346, 74643040], [34459776, 3976793], [94443977, 61750188], [55036630, 56357689], [47902748, 11980770], [38262948, 80409983], [84992, 16845890], [56555879, 1434442], [92366869, 7237614], [1082721, 64505597], [28050955, 67400409], [36146571, 76610054], [54009061, 83960591], [89598915, 87283573], [688035, 39378365], [59554343, 65719061], [87515936, 13908706], [6211913, 74013799], [55002204, 84385266], [64532066, 21954944], [41745016, 37841998], [39749693, 49282247], [90988248, 11335335], [33236468, 84191245], [82723462, 60694373], [72720223, 36024436], [47252971, 90714374], [40963176, 54827059], [83284982, 95305160], [66284623, 42089861], [69541471, 25037437], [92793842, 9984509], [66843396, 16269977], [10965451, 10509848], [4302267, 90606451], [65769607, 6171703], [74001005, 22229182], [38607686, 97177277], [70649687, 61934914], [36288573, 17025154], [56128764, 25933855], [7245959, 98491797], [12958866, 51349328], [89726730, 12521673], [19736230, 75223098], [51477546, 90461737], [93361707, 49502104], [24692251, 86614406], [35722199, 71033574], [68660288, 51008206], [72828867, 76147263], [69377850, 70061251], [98144860, 37733132], [11898230, 10435452], [34976097, 5325461], [57835063, 24532611], [1226534, 39333794], [38170640, 96110562], [21313244, 53979463], [24870453, 65850589], [85218359, 45074106], [74386871, 33892947], [53836598, 34911856], [8947687, 72204116], [81695794, 75770190], [32904884, 34178322], [85559106, 79164207], [93898803, 11196410], [33567154, 3160358], [60752588, 78466407], [31348586, 45533939], [54594340, 56803995], [81432797, 70291426], [44029240, 74531201], [78536841, 29708124], [57474303, 11006402], [85749548, 89263943], [54327531, 12582922], [60007018, 20810483], [24210951, 94630513], [18998287, 24367972], [92904949, 52510669], [99635671, 90945398], [95478215, 63603289], [52189728, 58848917], [19004937, 54371888], [34608298, 85488921], [73534416, 79035838], [14955839, 77543799], [77065320, 59445138], [45071490, 7120571], [63330582, 62850935], [28406468, 33375207], [41255200, 53610901], [49977411, 92585646], [34544270, 19634480], [59142707, 63500489], [8524602, 40503946], [93896752, 54519140], [45481190, 42039112], [14899033, 1555558], [90513915, 43846191], [29642953, 57509894], [86298773, 14591817], [24360047, 99754835], [15927431, 21683063], [29195434, 46397024], [35686130, 38326249], [67450746, 27499301], [1124279, 27545004], [61139978, 16703609], [80494214, 89576518], [471312, 46857308], [65198737, 62839635], [93335766, 86777769], [71196662, 89816025], [63878695, 24581781], [76388699, 98439867], [63982863, 40757394], [57280576, 57174852], [75760224, 27101120], [86056048, 4003988], [76157424, 89110239], [64940368, 90059464], [66567514, 15709608], [81166270, 5780338], [44179671, 71613609], [98315238, 4842749], [66706836, 47725616], [16847389, 70189385], [63452563, 16779598], [92360851, 42029318], [27324559, 50824937], [3803188, 92318012], [42328204, 87605152], [87409288, 11267980], [81709292, 75843184], [26967662, 3282316], [45545550, 29759619], [61030601, 44620058], [61332083, 44880448], [87205605, 26014369], [94037800, 4319566], [42622654, 33174175], [59051968, 63362307], [78646972, 36274595], [64092743, 10082124], [98120125, 23878567], [30262143, 58141640], [76137492, 91242604], [12639228, 48174131], [41438704, 11001321], [85178615, 123356], [42971407, 19898580], [14963280, 90941565], [86394325, 77662184], [34427447, 53233642], [33140207, 55647618], [40002412, 18470584], [47816381, 48783909], [41429881, 7703097], [53647273, 78137253], [69993453, 19667166], [58271353, 65070005], [34252485, 70142043], [53720294, 60313288], [67002765, 38562646], [23244527, 19212927], [10168887, 94207993], [47303101, 77401468], [69920493, 74688717], [46411438, 96707534], [80016866, 65646094], [88406367, 53421113], [81884704, 73155535], [64727301, 35150427], [43795390, 16838377], [55083244, 85433788], [76839463, 57809861], [78718397, 20527604], [11556888, 28215486], [74082475, 48975680], [40109180, 76898121], [8049878, 66102757], [55417317, 80022910], [6324665, 77637575], [55000967, 88095189], [17040361, 50069769], [26613842, 545182], [25717479, 65526027], [9830992, 8979], [95834762, 58405903], [497608, 96563915], [52842790, 95924334], [18786801, 55965973], [3628726, 63137527], [47799345, 95728510], [62496995, 38771485], [14362103, 41972432], [73782153, 15886554], [30533234, 96203], [97789452, 28612508], [24298692, 16089062], [12604892, 37457312], [4511857, 42820966], [11564838, 16600548], [81994559, 33033366], [7187680, 41183542], [57959227, 21333174], [20779863, 38739170], [33920830, 10163231], [52991859, 25843360], [2860562, 68759962], [72709009, 40019201], [55499879, 35162720], [94049779, 70574555], [69504788, 81646305], [10006511, 28863728], [94943712, 32254673], [97727944, 38194942], [23237966, 79321747], [72714873, 91515863], [9818988, 27221345], [55300879, 32477892], [8370292, 30772205], [16111522, 85000548], [40143864, 84253700], [24445654, 72840098], [49866860, 46914979], [94774462, 6364911], [35996058, 24344418], [99178189, 94457619], [12845488, 24094234], [70505301, 47216953], [48019480, 82024043], [2683236, 31343588], [18470771, 43521241], [54317635, 36443241], [7529279, 79636044], [16988286, 38105941], [38388653, 94775667], [78088516, 36129244], [16498286, 63743188], [92482562, 21608691], [78270509, 79120428], [54745125, 33527768], [77937072, 16412502], [98195036, 56228934], [74692604, 56591972], [382045, 9435181], [76465293, 67858932], [39855522, 80338971], [69497457, 4958534], [45763828, 7356192], [16722132, 81955566], [18687472, 21532546], [13710161, 96424821], [4965150, 91631874], [2350648, 79713318], [68730687, 72727459], [75525305, 26183454], [32033908, 84983768], [76146275, 84355461], [45051216, 58630962], [87710357, 46715069], [92560047, 42234980], [29984091, 61170619], [50911937, 73618922], [62369784, 91628676], [47707689, 51224493], [56626345, 24085041], [2229086, 41168892], [9260608, 21412050], [21641894, 44410075], [5063073, 30006127], [57246910, 79717920], [21743520, 29895943], [32377572, 94156459], [51606973, 8875357], [68955035, 16564235], [68029357, 83657617], [58066312, 23265852], [82818842, 6885085], [36510022, 61143684], [1693033, 13489159], [54153329, 29649842], [84319739, 24835813], [75532356, 67099070], [67902610, 51230483], [30426628, 24521084], [53170412, 44370305], [6893465, 67816877], [58824801, 98408576], [87871983, 86084433], [29736024, 93119433], [69332338, 34595144], [30182289, 93535189], [54726523, 39022212], [1102260, 77932562], [32841103, 32005003], [72143948, 86597742], [45398142, 1446984], [89501662, 47662003], [75326211, 68751604], [72471713, 535807], [81369353, 79260385], [73946737, 55462601], [97323603, 63861524], [1920365, 41045313], [71302970, 8553318], [80139129, 98846431], [26347823, 81676829], [32906313, 75003554], [55504424, 12702951], [3756130, 20424087], [63278970, 3097963], [6847586, 44459991], [77473280, 98117695], [48920971, 849123], [80706539, 11951255], [14671478, 42710426], [56305716, 2175634], [42526711, 67071714], [80025483, 90065052], [89759363, 44349355], [2729191, 74223514], [43085317, 43730607], [86502817, 21937649], [84402257, 93406484], [34448727, 29013688], [69782108, 66002982], [4985689, 1008064], [90565884, 15014354], [72024423, 47003496], [89785491, 52964636], [84627249, 82762990], [44235810, 92400086], [39506979, 13453548], [73372514, 48638574], [63651389, 81862401], [35682455, 69139056], [31234733, 93720243], [90339306, 70664771], [89552294, 42508418], [42455342, 66131905], [30707365, 25348209], [63581317, 23780846], [60676114, 91750607], [32085421, 12781302], [55732185, 7449600], [29918810, 81211588], [6009131, 63930083], [2164737, 84582881], [55930120, 15305757], [64720360, 54248510], [70494618, 41874376], [25800078, 4884514], [6422521, 30914762], [48507889, 25432504], [44374426, 36729529], [56320869, 17179024], [8841607, 25643024], [46467281, 52026239], [90407629, 88224617], [62269925, 45325227], [47364000, 13051154], [29303843, 83211682], [22521325, 23039461], [82519797, 97090060], [43480821, 9115014], [82758966, 67192631], [28759630, 64091358], [20980865, 29286419], [32114295, 62909913], [89405423, 8176376], [3330744, 74779736], [4189079, 27279314], [39026459, 63040462], [49843180, 21082938], [10749657, 18505384], [16184476, 97740132], [25892869, 79892518], [28511300, 97974921], [41587623, 62361591], [8372268, 76256074], [61201133, 37569670], [7548662, 72600443], [56980341, 22840551], [53183844, 47710120], [29857034, 42520065], [16490192, 77570423], [12799394, 42880261], [20317918, 76688618], [12419246, 87665436], [9664817, 15662324], [53768778, 14677803], [30341631, 8904292], [94292000, 56823529], [70041109, 68426850], [2002274, 1585799], [73734983, 73698371], [47039521, 16359885], [55066573, 73948882], [31465409, 27337178], [26766896, 89554100], [38324335, 52990359], [34658639, 26264605], [13556821, 74708353], [96553789, 13211950], [30663157, 94967165], [91571023, 59894068], [30047000, 3400554], [40459667, 19040735], [20564859, 53493564], [24819267, 26292729], [10277675, 91482311], [6951096, 66787565], [30970227, 18768334], [17929332, 36782940], [61843825, 67445810], [44858491, 51592861], [51779670, 80979834], [19091435, 85340370], [2902412, 6241544], [13900760, 84868523], [77725204, 7471031], [76672037, 51942108], [21582297, 20430554], [28538193, 8973198], [17440104, 57533887], [1573103, 81249497], [42570898, 63094025], [73401731, 65054869], [86024365, 30404695], [72343435, 57173243], [81234452, 3394398], [94240363, 13679512], [10352061, 61694572], [66398487, 92796217], [48097571, 21795819], [32636857, 24160094], [65076238, 92057384], [75360910, 2103134], [3334006, 5393599], [7510189, 20423645], [91179987, 36991040], [72929654, 32177908], [30044046, 93947995], [76166411, 80213378], [23349640, 55080409], [80661570, 20380201], [66221045, 7536885], [28712272, 80051837], [84772011, 91988558], [74840250, 68048173], [55835952, 22227682], [86862807, 10060163], [13518596, 9821347], [80481055, 6635159], [79366125, 93373927], [26771035, 27149994], [33335644, 709506], [94076203, 93223775], [11687776, 99078452], [34111920, 95773949], [53643494, 18204313], [24833370, 3186110], [85876296, 76999980], [17251643, 87156655], [71964777, 31552111], [58331022, 8494242], [84012190, 46581472], [42512981, 20630351], [25260647, 50167256], [51009442, 25334679], [49899356, 91181629], [41657626, 3200530], [10819879, 83728102], [68436915, 40082891], [36713631, 23244552], [48634116, 38092931], [74981545, 30592940], [77861556, 64150327], [42614501, 9627885], [96104958, 8121541], [14289761, 8768255], [87910881, 96846187], [28361650, 22885158], [99890859, 70398900], [73455223, 50393519], [3690167, 64878157], [64331973, 87788295], [52976824, 96596466], [26813750, 751848], [43676088, 47328768], [88067890, 96038873], [9779387, 17135312], [61385172, 47193452], [11358901, 43756054], [3340486, 45244984], [19102351, 11076734], [12330844, 40501723], [94228891, 46472568], [30143932, 827250], [73784963, 79142368], [92770540, 91937765], [85205952, 89608150], [84519050, 43386539], [64917730, 72910794], [8092537, 3538925], [50434866, 5380673], [88971210, 42126890], [18681325, 751743], [2765595, 2898964], [8027308, 68222392], [84202294, 10461705], [55841575, 96238052], [66610831, 97654069], [85456093, 11088562], [95346629, 28037010], [31808872, 51639845], [28221391, 20121857], [60584902, 48606883], [34648775, 51854302], [87008273, 76669615], [97847274, 70900089], [41954096, 384926], [10944892, 65587172], [98707302, 42236568], [12444424, 64519747], [44633108, 64417950], [40013941, 36585806], [71875349, 50059843], [48244610, 68536359], [31479764, 52337172], [75198542, 87544356], [60743055, 76583818], [74021073, 67259750], [28563517, 11040745], [27866476, 91888810], [85672902, 77082313], [37223321, 67315118], [10702393, 69816291], [21172642, 29967398], [55241341, 91362846], [62627917, 89647902], [85345703, 40770735], [20825348, 73606940], [44503838, 29337690], [71941504, 69687846], [56576741, 3893048], [41717963, 67547592], [80320726, 9433910], [8853050, 2776576], [47541988, 69688845], [710207, 39103719], [52781128, 50180097], [3799638, 87697866], [18277940, 73888829], [89597146, 97559595], [14366795, 94590427], [4981796, 78223510], [66685332, 10982001], [76321994, 782749], [44413980, 89974166], [57968891, 54079332], [73929393, 85741283], [63148821, 82282119], [69169970, 363199], [70671717, 36565675], [57467215, 93290958], [84862940, 19502230], [28729252, 70347228], [19432114, 58164646], [85786483, 72951911], [10816362, 53223924], [66883291, 88300519], [44562860, 24593523], [38941001, 37226903], [19454455, 84638960], [2885486, 73872755], [17115508, 33645411], [6009152, 36511874], [14998628, 85023581], [77553058, 87587852], [63350236, 69920683], [8377185, 67891207], [2714853, 36090433], [45726562, 30770077], [71108633, 76690480], [89801114, 22600970], [16841013, 48293737], [1747471, 2155296], [14018728, 54047987], [23761003, 1023234], [17382455, 13634688], [58850114, 9076211], [61309391, 90225361], [4380246, 74329847], [20383282, 4492897], [27496759, 51477165], [7531563, 60635537], [69642926, 53978020], [69081232, 20657607], [99749368, 28960643], [37576950, 7643476], [39037931, 81629292], [36273735, 56684972], [777540, 41808699], [49352219, 23278120], [81749755, 87614815], [48185343, 29736185], [82695472, 12161168], [11142147, 11578306], [56814689, 83220353], [83422178, 76153232], [33507780, 30260177], [87110162, 26927608], [22026870, 61693422], [13324360, 42089946], [77703964, 57290741], [20716226, 24301942], [79226475, 66642259], [78229977, 90436198], [11725472, 42975346], [5025217, 57865540], [85712637, 88767887], [18235111, 53709138], [5686474, 6846117], [83880002, 98472211], [58358694, 65119086], [66491, 39003401], [98927693, 26432980], [31185148, 35565042], [85679539, 1175262], [63025409, 70609194], [10504030, 5624422], [22654624, 15144520], [78051814, 63275422], [65675142, 34273421], [22390086, 58105893], [58991052, 44607245], [9211588, 68476296], [6211012, 6936269], [8139885, 89182401], [36710073, 994728], [73447285, 78367612], [19207508, 65768196], [53756286, 44193857], [79601350, 7428480], [38873811, 34599737], [69939778, 2548836], [4073018, 67185855], [64662374, 23937758], [99453438, 43431001], [58802751, 77129], [14108155, 52216311], [21752811, 67535430], [64731132, 24115109], [50752662, 18476160], [88337466, 88247196], [25146778, 62069451], [15280374, 27788681], [58784471, 55156486], [25678139, 35467133], [77947223, 96476633], [66184873, 82558835], [83160756, 9736560], [32171480, 54793826], [11761820, 85303157], [33996901, 88867190], [77725142, 33623466], [30094206, 60524089], [30356888, 72638732], [67301951, 2882896], [44047072, 47686280], [24331420, 32476214], [98908242, 13088295], [55970805, 71325334], [3777900, 34144853], [43407415, 89356842], [83750216, 89388093], [96524884, 91942378], [34283594, 82978133], [6541846, 62094628], [34690303, 5554432], [15940952, 70216240], [79904167, 10660154], [36629454, 97006723], [37875403, 31510927], [13836451, 6952604], [49286093, 94831457], [15455231, 88981839], [78577594, 18868579], [67156229, 64644275], [82220056, 23001056], [11022533, 95814420], [1971366, 65874685], [46044894, 35332274], [24078158, 21262738], [12756817, 40285043], [62559845, 54444085], [60379986, 98731334], [65005608, 28863083], [53397334, 43535251], [64096614, 55601683], [29380418, 26263657], [93710598, 49178703], [34845311, 35944171], [24329560, 65658599], [38694869, 38957632], [71147252, 81571119], [39325432, 5268976], [18387485, 70699518], [43434092, 61263815], [96533597, 61221528], [11215345, 32888226], [87036006, 92643153], [94028943, 71164779], [86985227, 84027875], [1504807, 90414431], [1819025, 4318944], [37061347, 97301113], [93568511, 26179315], [87424512, 71262052], [53195968, 30406896], [7550145, 31852617], [97976032, 92426670], [12215057, 2690380], [34352082, 89597019], [75905280, 90113861], [22017844, 61884563], [92896475, 80299673], [90399563, 81145705], [96498594, 98175634], [68818332, 47544320], [48451224, 86337124], [55318819, 2019012], [1097111, 93961495], [31563809, 73739029], [68355173, 82686653], [85853281, 7862597], [36894888, 62445006], [7591338, 481269], [69784904, 93729824], [88797656, 92143021], [20661509, 53640110], [85410445, 67609160], [27670361, 56549725], [85241220, 43337885], [54443772, 53960624], [5427235, 57793014], [75239748, 67402658], [34504611, 45158244], [51728247, 50630439], [73198898, 26790625], [8577602, 11385651], [25705615, 13639966], [31639912, 85661706], [14292040, 75821487], [77751172, 92096516], [95342389, 96066687], [36962116, 40885861], [95071359, 87971744], [77585256, 96323287], [4898115, 81868749], [40166499, 53697014], [71280219, 74032816], [56243491, 18527153], [26133083, 16093664], [76546998, 18941623], [56734660, 95965099], [44113156, 16139220], [24363770, 92483746], [77122877, 41916270], [72304705, 70711981], [41989020, 22065031], [85518073, 23626072], [55951160, 74468626], [3230957, 19047492], [43268625, 26781202], [19309526, 83598653], [85009465, 96968603], [37277085, 71174980], [68580103, 9362577], [39284534, 13573736], [44681794, 41150555], [73453660, 71789744], [8524363, 80779486], [47104239, 51660795], [11957707, 98256473], [57001644, 3149179], [90271249, 21594669], [84422151, 49631116], [8114850, 57187878], [96455764, 26346356], [11203220, 97874931], [9858964, 87208816], [82465554, 37843540], [55264436, 63591261], [26615729, 50406902], [73276384, 18069703], [42624647, 19917659], [9945241, 58298999], [3931947, 1294781], [92349344, 65511457], [46439976, 86905729], [49284447, 7275274], [12036458, 91165430], [54355223, 34193034], [91381124, 13179268], [96406715, 51469016], [68376294, 56314296], [30208800, 19569338], [9326433, 6084567], [73104553, 21405813], [37092937, 61951880], [25427394, 26007847], [8454878, 29816270], [63936820, 64737201], [19468549, 29956718], [61123577, 51433748], [62384420, 87575344], [49124388, 52044417], [44579147, 73201039], [34424509, 45828544], [8439271, 73761166], [32025762, 55050669], [91008249, 86366270], [32070333, 37163666], [20208164, 63044142], [70009784, 69341047], [97200294, 37127777], [57080063, 42888736], [18898609, 25355188], [94074338, 84957648], [81014442, 74591513], [78145938, 54128778], [80302585, 89129985], [66813241, 25394387], [98056450, 78957779], [82170543, 8812994], [84174989, 47802223], [15002003, 58043863], [77409568, 90455251], [24540598, 52539013], [74696280, 5588254], [81850271, 26429887], [88102416, 49010526], [1311736, 91978760], [90970138, 36516784], [20198201, 96563633], [70248988, 87688949], [23210738, 33653263], [29076586, 55597511], [85023945, 18871782], [79634205, 26628879], [25538629, 15088800], [37328801, 24489959], [30954652, 73061628], [74697944, 81797993], [78408138, 2697918], [31523831, 90700328], [76925289, 59973902], [90812058, 67298767], [19627510, 12454498], [8338609, 87054380], [10548615, 41650087], [30192597, 94816564], [57642036, 94663832], [6599319, 19044681], [37161081, 8694290], [56295390, 41361731], [3368672, 62430149], [38180204, 74930179], [59703141, 46300700], [94019944, 33703496], [68213750, 88363511], [65252728, 50436037], [29935563, 56346373], [40487467, 69801430], [43739698, 24930750], [99929708, 23419036], [86655318, 28838374], [34022423, 27274173], [40475864, 68394827], [63281976, 78208264], [57509441, 73772240], [37633816, 92474880], [62179972, 55832217], [62148383, 85058149], [53569698, 32882762], [40974245, 66801134], [13368072, 52678936], [49468830, 5785961], [64072919, 37057463], [46075598, 27668500], [12099095, 32186688], [53726933, 43057180], [75501824, 93519200], [64101435, 7429512], [45968982, 20328858], [47150412, 8670972], [57355734, 64193164], [94103376, 88638005], [87664605, 67983900], [94533331, 39043642], [16076369, 96039138], [3510863, 69854860], [17211449, 6855565], [85865467, 12069598], [91143232, 52775522], [25142418, 69881584], [58477856, 29656419], [38477724, 36844448], [9008675, 60127878], [55510430, 64210421], [41876238, 93806334], [48236814, 1758578], [49505371, 80700754], [56126902, 94025600], [53061703, 14085345], [67394238, 31574408], [7840853, 70254412], [93952902, 64623411], [7555624, 9689376], [46318801, 17141080], [7112271, 65748393], [45974852, 97671391], [23190042, 10772245], [80753748, 23352149], [94867409, 34275222], [37024389, 20284827], [42117509, 34853510], [99539593, 71543868], [84838054, 78649017], [39077481, 73690596], [27109070, 32327676], [81018266, 96062788], [47450868, 49690035], [87361919, 23279605], [97966711, 9991218], [79042019, 3156045], [89806731, 73299316], [6917242, 43272977], [16385824, 92822862], [85555324, 39679745], [57401094, 16360509], [42718367, 64679398], [67360330, 77263056], [93223450, 74846443], [63910239, 22339194], [97010431, 96787505], [86517395, 98523191], [93199794, 60885544], [71378154, 59013890], [70019520, 33277200], [76859119, 73048527], [74667341, 26305453], [31072976, 52059072], [71907271, 47209357], [5791514, 57700516], [82068822, 27653702], [77529111, 86939881], [62516876, 63022283], [1014457, 58776399], [72261811, 49746998], [57416459, 74715042], [84297352, 25464197], [14405539, 61994275], [44142301, 78174382], [15536590, 69135068], [60481217, 8445413], [89692268, 31458302], [87075428, 60608542], [90167674, 29783397], [3454639, 7828656], [88110587, 9479227], [4904089, 4517203], [22766375, 24731956], [28317964, 63628811], [27356989, 91466955], [89707853, 55712825], [13822167, 82837666], [21315128, 26170728], [71827146, 80464924], [81631626, 96145636], [86319211, 46153381], [74153575, 82433840], [31581906, 55117159], [4789818, 33797574], [43118074, 88961788], [50074733, 36248811], [60093712, 10688262], [95991159, 6609550], [91678246, 31955422], [81809827, 19718819], [22882658, 59335436], [11806529, 247088], [11496235, 94530917], [79124768, 13260474], [66859321, 99632426], [13741383, 10060144], [79974409, 65518139], [9944807, 56636845], [57799693, 88448739], [33441155, 66310619], [89537393, 58740344], [55539821, 7709781], [21728128, 10160936], [24245995, 33220027], [5112403, 37263116], [94450946, 66903327], [86694619, 87115823], [24267676, 71553137], [17871576, 51937788], [76523377, 98652367], [938318, 5763282], [56798826, 24419888], [24530985, 89460229], [16372917, 54421337], [3890020, 36527746], [34286464, 65913245], [18073992, 30117698], [58124139, 81780891], [40425155, 51793932], [12681082, 91803066], [90681554, 60281678], [68952802, 21352999], [99324534, 98551853], [17233464, 38027111], [67073754, 88545468], [90413416, 63031724], [69238754, 4982427], [95671177, 69232546], [28232643, 58704901], [30946569, 29079606], [69614031, 78292848], [75840406, 47896787], [36451942, 77993481], [1858533, 48926172], [61762574, 77246213], [73347291, 31530277], [65406177, 47429295], [59352605, 6610463], [60603937, 53914068], [74404190, 48064644], [97405943, 6840721], [55956525, 94271467], [57309886, 47927481], [70574292, 8877163], [17663421, 91466173], [64458188, 77676628], [32358249, 26804955], [27517837, 26520159], [44364919, 28106716], [70753902, 23306148], [40443156, 57343765], [82330134, 46535608], [26728223, 98092109], [51346194, 73852266], [95896082, 56194466], [3871187, 61365279], [55574491, 90783462], [5894269, 90700715], [84077853, 30068159], [94641701, 33580544], [52215368, 65091460], [59536279, 57630140], [28005198, 37815543], [88218634, 71253066], [6238739, 56711408], [92192862, 99347783], [73619345, 59998213], [93640545, 96988824], [39281965, 14591226], [81433574, 11046831], [24696730, 23203446], [51641923, 21397032], [57519277, 94454163], [68635301, 33526985], [86893372, 48340832], [60761947, 47695532], [88362036, 87557069], [7768824, 95442362], [61139854, 60210583], [10103717, 63877919], [55863271, 6462564], [39813967, 8799581], [91249559, 43665222], [66304050, 69508675], [68158899, 72792575], [44695034, 57005401], [71241378, 9257590], [21584677, 32380591], [8087658, 43071358], [49229601, 24528725], [95532750, 51626035], [13598531, 95537865], [79216270, 7345397], [59074199, 17861816], [52492975, 8474032], [88571487, 30825153], [28757877, 64219337], [49589359, 51505043], [64566081, 54719251], [9108838, 34976982], [27772749, 36938139], [29146132, 75549982], [68752853, 86295858], [11601335, 70789558], [78264546, 88312977], [14407930, 77050409], [516231, 73479185], [32929642, 18594891], [25721456, 7064233], [51165251, 54699536], [43044586, 65961950], [78429361, 23737709], [15353739, 17516343], [2495904, 23795434], [37830104, 50263572], [87333588, 57062255], [15643175, 49165266], [46791072, 74306753], [45849586, 76440225], [35545893, 79103121], [7138026, 75583284], [90423332, 16770768], [31430205, 83286795], [84676470, 34084803], [69058167, 99480194], [94144153, 61517994], [14350859, 86221994], [53927857, 83122029], [27442647, 47943340], [16570883, 78137043], [18051142, 6428984], [78746417, 48952313], [12611585, 97488767], [60887022, 2232600], [58462567, 55403256], [1862285, 25955237], [72969362, 83314261], [27950180, 64962558], [24321369, 73491313], [84563785, 43650640], [49704450, 37052030], [59219733, 71272569], [12794730, 99592394], [21666786, 81915748], [57778767, 85345679], [46623264, 69979394], [70185726, 90895174], [2857568, 75388040], [75390078, 55444285], [27739029, 64505879], [69826297, 98931582], [24219236, 67097580], [78787643, 33784639], [76985837, 11373414], [5620044, 14187597], [32508990, 17872579], [72006366, 55730878], [98872644, 17046614], [8751813, 43992661], [37118998, 95678408], [59178957, 25308900], [85734382, 9614215], [23266701, 18647475], [51162877, 966433], [22164991, 465693], [22044594, 30053828], [14197483, 66433700], [35407956, 91650816], [43180734, 60334766], [68510770, 23952484], [41647788, 47531905], [7801550, 39228065], [25867008, 62023518], [65719913, 45421012], [3873904, 88187474], [51871849, 41406941], [76149438, 18386944], [61469857, 99510900], [3494102, 60618155], [34443987, 78937806], [58293313, 49987809], [75997262, 95814508], [67311423, 66253933], [78440891, 46322655], [86427907, 25242316], [13790847, 61432574], [44088863, 41937448], [5599649, 87816209], [22198645, 46306196], [29671646, 13878463], [64692221, 20438347], [13351189, 52504405], [96817597, 75422273], [55851677, 49319751], [27075064, 33689304], [93732627, 80776843], [10369700, 18779255], [84603630, 33603975], [10196539, 5798831], [91165551, 46436136], [27569557, 49776555], [81502185, 76516464], [33768078, 54029512], [85983541, 20587090], [67966015, 85195939], [71269087, 48607392], [93475879, 27160639], [67784504, 63566217], [63102677, 33216930], [56484450, 20221865], [52915975, 81833009], [43428906, 80173624], [87300799, 58637443], [14336426, 51922611], [76952287, 51928894], [90620830, 37831967], [63846920, 96917177], [42717987, 65921209], [84827438, 33193905], [94319811, 32279168], [47327194, 20100160], [83402693, 45248619], [26664393, 21581286], [90242567, 87473001], [53928357, 74953591], [11681933, 90066981], [95544767, 94945892], [60605322, 79478108], [79743609, 79295086], [2293067, 51604419], [32387392, 60862278], [39737302, 61631413], [78954660, 16554753], [74470307, 52458504], [9019793, 4572569], [81424711, 40149126], [13033210, 51311869], [44641051, 49598393], [82989873, 24847987], [89135196, 23461553], [67042475, 18297134], [94468266, 40073099], [76339830, 84143119], [89170945, 53440754], [64044895, 69367459], [15534585, 38268459], [61248407, 86453996], [4805300, 9981821], [30198871, 63435320], [34138360, 96469659], [23305619, 96626430], [97050431, 28263272], [6740343, 32554532], [56985292, 48933655], [30646296, 16621545], [79284493, 97304856], [92111277, 48304443], [15511134, 18505288], [89635736, 93868550], [8193007, 39764632], [7710905, 90970895], [79614682, 99174022], [5683866, 66548964], [3351091, 35929790], [82056341, 4900555], [34424946, 37268228], [87043148, 45390552], [17591045, 8025683], [7654837, 53995657], [13624825, 50657286], [32983537, 74294665], [48923682, 4179824], [40237772, 5480606], [45465812, 34948958], [22584594, 15600349], [2950144, 94270110], [44993708, 35738769], [73438342, 2179438], [79008364, 93269868], [98730284, 45700241], [48935797, 61008351], [68581631, 56471200], [17712884, 69410358], [32884343, 44160948], [27289831, 82800462], [93137931, 94273321], [63100431, 7616414], [80839700, 34947247], [51358871, 77954790], [62167214, 83600918], [16763271, 7756059], [58644260, 46992186], [92541812, 22053886], [94188262, 38496188], [19528101, 64080904], [62908041, 94863029], [70270389, 39539324], [70865226, 92232038], [79508161, 90868142], [67103028, 70490916], [35533831, 73646483], [39400203, 43519146], [4610189, 86661014], [31071744, 1693046], [10020493, 67895843], [3515146, 26451033], [76544351, 58944219], [92016630, 67862739], [12207977, 26813555], [78711712, 35335533], [79752518, 90506741], [89307362, 2340278], [96548177, 46784323], [69615735, 68673983], [89053608, 29596418], [53166036, 55067985], [41199952, 21160844], [38119740, 29106736], [15748375, 40729707], [94407999, 66167501], [17598267, 70000210], [48738356, 30675931], [88505269, 4438709], [50585436, 99436948], [58533583, 53616520], [70964488, 23842763], [61953377, 20449487], [15919623, 54407103], [3788293, 8197811], [20645886, 46448583], [31235297, 43414676], [24667368, 33830549], [57063220, 16371668], [21755324, 4029325], [99262631, 39905319], [17885621, 10368374], [86643507, 92789001], [83643255, 42987203], [11711535, 43813122], [84598274, 61490279], [93253807, 8813822], [38466761, 45552463], [20641060, 50555831], [99945362, 89379049], [38756275, 50355744], [34592059, 79402975], [78608255, 76620694], [89153549, 49689118], [10831780, 54647345], [66404383, 74753932], [44849772, 65547255], [76601000, 58971145], [53380024, 40393689], [32465613, 47488751], [77640294, 47354019], [57411875, 14548363], [95165276, 25730564], [9615464, 35002677], [78344247, 96585014], [89525916, 71346620], [41077883, 90502501], [17702931, 4733077], [716832, 51130357], [97583775, 54050948], [74691685, 92144], [94693121, 35186744], [40838493, 92416293], [11482668, 22358897], [4279889, 20331397], [1913017, 57552667], [41357944, 61693146], [61144525, 73656808], [82892497, 44355051], [2305741, 23170100], [10967334, 71134937], [98733858, 92434128], [7186972, 56210339], [11563793, 63658036], [93728057, 10419036], [75702833, 36392627], [57810016, 81530921], [49242326, 5506723], [38523633, 62299381], [55932894, 998553], [56481984, 8200816], [42751087, 48554864], [94160160, 62613020], [48234698, 89033753], [57871738, 93690653], [83647685, 72193515], [8496037, 24718430], [89798949, 17669286], [9409414, 27492436], [11195966, 41104915], [81805419, 32967669], [61489317, 68252568], [40129701, 19048678], [63793942, 36510949], [73039349, 6250976], [56518537, 37579202], [53501492, 70566829], [92212086, 37303365], [25471337, 12246578], [95868636, 75807896], [91567521, 72622013], [51846564, 5144833], [24292664, 26596455], [71377787, 44745789], [66855620, 99750660], [45823708, 15902700], [24078452, 81976867], [46618315, 94482372], [26406485, 75145152], [679926, 33543855], [77109258, 26900910], [4971023, 19244883], [59117865, 95013405], [18678570, 35631733], [15622193, 3980570], [50991392, 27589433], [4308228, 78654052], [19487205, 81928602], [29006556, 5210112], [66811339, 62705520], [9686106, 47900050], [85394845, 54601729], [44133813, 68669082], [33094590, 89283435], [49864617, 89279422], [1208283, 84473513], [53113736, 30600118], [48376625, 92072213], [8492878, 78581381], [64115984, 10370347], [54132171, 2706514], [58029246, 59757620], [58651253, 46108604], [49950308, 45499866], [81175839, 68544426], [19814209, 36334856], [56842233, 43432458], [30099192, 26089019], [90042788, 69266785], [17315133, 14785975], [97222851, 60933696], [8462324, 22509862], [41135105, 77793611], [77134284, 636133], [89390198, 59370258], [30301936, 58379651], [55198607, 34476782], [48468007, 52205674], [53924439, 70412340], [63343918, 47575417], [47664069, 82051700], [24723138, 23666408], [73674315, 51609759], [65761435, 88202819], [59553941, 38980768], [67811223, 27494743], [5636948, 97390021], [7365040, 10141029], [86364924, 29634953], [71140444, 40501420], [12472576, 72338690], [91818669, 78952539], [41819551, 67415589], [36206726, 20121174], [39871207, 82057004], [51629444, 39453542], [56188710, 14060883], [43219692, 9063617], [60859117, 20171925], [85438525, 67384044], [98595457, 31514353], [50801115, 5359975], [54218401, 82902109], [76466737, 67842708], [30817717, 4627152], [72441240, 26970171], [6289098, 8797724], [69050848, 76705010], [58712063, 92177191], [70844187, 2732135], [29733049, 89918117], [77804231, 92759293], [56908762, 84621649], [49819246, 20515096], [39831109, 49425966], [77489012, 23048606], [38060464, 6217200], [64816945, 9761230], [44914303, 97314352], [95862827, 86283118], [64827952, 57871861], [55810313, 8795021], [35874417, 72234136], [76495373, 70011294], [39824114, 53743240], [44528723, 70680581], [3418281, 11321487], [62213553, 62915410], [49302775, 77505958], [93321465, 31914311], [54029803, 32505170], [9753991, 72412459], [11763044, 7248910], [55034322, 73706085], [49629601, 85699988], [25050370, 52277595], [79919825, 56099342], [86160148, 33082524], [62379567, 86229403], [24566524, 29768931], [34428363, 80183637], [1418183, 76356151], [56238792, 99067613], [53797851, 4956748], [56846393, 50469826], [4075283, 37682766], [43578600, 4788145], [33845375, 50008362], [18522018, 67890078], [33840522, 20523500], [15784626, 99768817], [74135701, 98332767], [42937725, 25899537], [16403313, 43448796], [1991247, 46626925], [26943642, 28560754], [54356187, 99232683], [41787671, 42186621], [70809390, 33937193], [64417911, 47467805], [66788259, 34047018], [13711525, 19680065], [32450048, 46842381], [87305572, 18312042], [16068646, 49326897], [58258943, 52844785], [17208684, 18741705], [96499587, 75722392], [75989344, 78187079], [34397473, 77390330], [18551737, 52015449], [72644959, 94164783], [92489646, 7602930], [22937083, 33814697], [50317402, 75145159], [17160840, 97420723], [69903353, 3127811], [40023509, 53334468], [80156195, 62243836], [62143994, 40594554], [93218258, 74995352], [30434807, 6515157], [88604551, 74026900], [44204014, 14169299], [55796937, 70421437], [66400757, 39773783], [27970524, 11216056], [54761605, 20354719], [95042271, 16819240], [21696453, 66686823], [75489729, 97639760], [41599255, 77842446], [76389707, 15371322], [94649182, 54808601], [83406872, 3700327], [12815551, 39936262], [43394218, 87361553], [90259994, 40863455], [51071167, 54546889], [36597360, 53222146], [40974987, 59645559], [23541927, 66311350], [60646949, 36543727], [20900432, 83130185], [20311267, 84024196], [53226170, 16363048], [4715606, 44836626], [95983613, 84252916], [46727480, 54469132], [70287118, 24744765], [94203609, 52947607], [36782051, 20504036], [64347031, 78277237], [8059783, 4636315], [21855377, 22219821], [71223810, 65789043], [67564608, 49706681], [46490191, 27857413], [12978278, 41774764], [37460918, 10457611], [67495673, 18888081], [20625268, 75519503], [16733188, 43045027], [85495059, 10701257], [9856007, 83607871], [33412775, 63505145], [73182614, 34015249], [27499207, 83779739], [56855358, 57192165], [75928111, 68844604], [76898141, 35072338], [31254135, 78339205], [35765824, 1440225], [65654404, 18310968], [31568483, 54864187], [55047142, 71116135], [96778620, 7951827], [47924237, 62038772], [62755837, 19296223], [86493532, 41146319], [41127850, 54197424], [57217454, 6546035], [64364434, 38501771], [75723289, 56281731], [50582670, 67690266], [20406275, 78236560], [25075669, 4196950], [9667907, 23834251], [11237115, 1295613], [96649204, 54490283], [33184476, 66308114], [75749422, 61159227], [4407895, 79471506], [11502448, 30805837], [60943552, 60097193], [38391716, 95542662], [33679369, 95527229], [78297693, 42918472], [9162809, 54466205], [62416746, 16019252], [51863942, 87171512], [34141788, 69183550], [85725819, 49673664], [23906309, 38411459], [28622570, 89825916], [45999790, 33473113], [28341703, 82574882], [59715991, 94917550], [23917846, 40822346], [84241568, 22319299], [21664067, 12098678], [67121697, 87589883], [20171845, 10689838], [91034575, 20400569], [24148641, 29062852], [71880603, 49055910], [63035160, 63394847], [43017955, 35551793], [75973773, 32341612], [98009548, 7405934], [56284151, 29441990], [11026284, 99688984], [6909561, 13519161], [17827399, 14359856], [65374344, 5646664], [25057320, 62926802], [65230757, 38103224], [61318817, 69966660], [60816070, 63629674], [43622664, 52717482], [14659196, 77303531], [74310196, 47308481], [56922591, 92377858], [74107639, 80814439], [88772249, 79935445], [58660118, 24458693], [45032235, 90263924], [49204029, 9310629], [41736852, 8242163], [15632740, 93872181], [70422829, 23499229], [33760119, 65434010], [534464, 20123030], [67947504, 36406612], [12276779, 37227984], [1122012, 70697161], [47967477, 3664719], [63378437, 51163134], [76037200, 71212041], [94466343, 95599246], [21325175, 95002882], [24981841, 12895087], [51599105, 51619083], [9100288, 72344659], [1151578, 61957676], [68091414, 13231233], [55864123, 24177623], [27859409, 90631232], [19358569, 77306805], [12706892, 29694682], [34711524, 89507557], [94850379, 70973701], [3877784, 10611430], [83685434, 18392437], [48542982, 92285205], [84934024, 78277783], [22914106, 27123796], [55667512, 8045538], [27102321, 52197145], [94914556, 74918416], [9619334, 57660288], [9814538, 42593540], [51820529, 49909534], [17611090, 41377327], [4752821, 46295817], [70176796, 29919149], [2013965, 57773767], [23970332, 9504172], [79661956, 46976667], [55543254, 91672774], [29518121, 75203148], [115066, 93520403], [89526390, 31234130], [77736016, 76896241], [89752270, 61030290], [69849858, 51719396], [97106521, 30783772], [65690155, 1931927], [47544953, 70729700], [25398110, 98324030], [16037989, 36008935], [30917336, 77871410], [62218582, 14243971], [166629, 96026327], [22408118, 69642867], [59360522, 31285376], [84157212, 91936974], [75904191, 95154941], [21920110, 12357985], [39936913, 4178435], [75246619, 38198093], [11387, 47393473], [99500078, 64093704], [1183849, 6058432], [32785055, 72830497], [97462858, 14491615], [84212381, 68620074], [73366728, 44861073], [75210321, 50726029], [72056168, 4735624], [19437005, 10227136], [21826698, 8217351], [70878640, 15312084], [86864715, 60830198], [11578303, 47414045], [76384581, 94065204], [77633709, 80616374], [47063135, 87849671], [22142698, 14376593], [98184675, 56902356], [30556737, 56407936], [87406392, 25234854], [70304564, 20316004], [90673201, 46036736], [27091255, 44713321], [49117850, 67735815], [91724872, 34095918], [35705829, 46510401], [76256018, 56861217], [4289950, 72790187], [9054135, 79760694], [66585769, 72122270], [13379084, 54770189], [53514688, 9750512], [34868998, 77643593], [6490956, 46410995], [92003173, 35204995], [50721695, 62554671], [79001747, 93525726], [64337834, 32070208], [30362635, 71475109], [57283556, 20509860], [73225664, 4628059], [48824173, 49670014], [87252398, 32926316], [33731826, 86438768], [23678389, 74780174], [87973521, 23866245], [24116860, 78366972], [72754655, 9744897], [32488607, 75475555], [15282110, 52609317], [96793767, 68450601], [97467103, 33395573], [75695194, 32391975], [86962031, 34469520], [56589983, 19491456], [21099251, 16990651], [89987102, 77583097], [10912274, 31722462], [56823333, 22835225], [7542762, 8799918], [10216914, 96732055], [76218796, 16634392], [17874560, 61871517], [62361097, 14481116], [16152001, 159695], [11076479, 11534891], [65688123, 51424893], [99502371, 6473219], [53120069, 72333572], [83834014, 52735118], [64056544, 77593346], [77645297, 24082779], [60399135, 84912333], [39939244, 26827908], [81769247, 86441593], [46707274, 34553921], [29183007, 33372390], [89321234, 94379938], [50330021, 9075811], [87145622, 48483522], [16225764, 40865872], [24082509, 3919874], [70045941, 10988690], [87751610, 88054391], [70385965, 57453739], [91345767, 90804006], [48440013, 91445302], [76905292, 78918876], [18509608, 45182061], [97463422, 13887675], [55316983, 14616756], [58705866, 32146275], [75154259, 28102510], [2999298, 88549166], [92980332, 60997667], [41217694, 62639531], [23894764, 93470357], [65627940, 82251293], [28524789, 82971382], [32449170, 16971689], [71012670, 61169503], [35720740, 29743077], [2229965, 36277809], [27454031, 4531969], [72584970, 40849102], [25895756, 73400793], [24004055, 80158640], [83040765, 70713811], [55180284, 26468464], [63884494, 40333010], [56094174, 80961052], [45941252, 11237588], [92809822, 7941158], [94140595, 75263129], [90758730, 90470669], [4080565, 38611858], [79892268, 1252275], [1010762, 25546738], [72882114, 48966726], [22004897, 54539236], [78333572, 46038085], [64022871, 66029150], [14011474, 52000595], [14114724, 68979616], [25205058, 15445308], [113076, 14859316], [99969107, 74951526], [2342361, 83907816], [33570211, 59477111], [88066618, 83806249], [73423513, 35748534], [12342398, 55610856], [41046417, 4750639], [87718099, 38905091], [47673019, 36651417], [26187589, 47130929], [12341307, 51866209], [99434556, 23493310], [18794643, 22354424], [1263132, 60834916], [41881903, 98073823], [44091804, 50568462], [70883923, 84558097], [3033306, 79685017], [76645189, 85722501], [60277760, 64524116], [1621945, 76085115], [40838891, 78111065], [21142713, 57391876], [70225952, 22525012], [74560678, 21616537], [40710655, 72995272], [43970427, 11499221], [73013753, 64967892], [69346178, 25095489], [67449712, 12589532], [99463937, 30852900], [25093014, 97019129], [17476555, 89231006], [72334867, 71908223], [41188466, 40805715], [55344861, 41066415], [7765666, 51910623], [79325143, 39225863], [69022131, 41862235], [13220688, 41705670], [59931199, 12875142], [10672646, 40971750], [56842236, 71513730], [98815279, 75627241], [38341301, 71576895], [69235462, 68479265], [52987947, 43745205], [28296161, 29237979], [78683920, 32559529], [37104302, 85208864], [22359411, 1949197], [16968924, 16424322], [36002724, 98490961], [68308708, 84113331], [62580680, 77983375], [92925335, 71680874], [82703322, 92661379], [63358566, 21755871], [53959940, 93731977], [31379124, 16795451], [30690354, 38921072], [60316521, 23337876], [59790291, 72753370], [79570867, 19821063], [77923691, 26494087], [90061283, 4476483], [8652736, 73406986], [55132399, 76812755], [25111979, 33669807], [57960851, 61248392], [90736873, 6203368], [26953055, 41578005], [52484576, 39108957], [582825, 70434895], [11265542, 64392411], [67772913, 13905379], [26384833, 24186735], [23389773, 56517180], [16605969, 97708636], [97178620, 93276663], [70921852, 15736521], [46933138, 3578739], [43374083, 83157778], [94918225, 99724649], [6211072, 45018857], [755592, 14107415], [74711670, 49320147], [27307174, 73846965], [857880, 60875235], [17208999, 65419936], [8226877, 26810622], [32776293, 98297451], [547044, 99922852], [75057666, 93739222], [3923282, 56626655], [75825911, 34904894], [65349675, 70357935], [87323299, 55089706], [22985373, 31504841], [4540533, 28525968], [46049212, 70476939], [62780227, 98416811], [79494854, 45225746], [79313713, 63825191], [28174167, 66884372], [36691788, 34872432], [38301276, 83793111], [22799114, 97855846], [19847892, 89647423], [97556358, 18528762], [85664949, 26361513], [27258027, 88684983], [13075774, 18910262], [4801059, 21496504], [12822046, 46717183], [2290878, 64053702], [16883487, 56195984], [92424832, 38304753], [26179362, 38554393], [51955926, 55038705], [69237468, 2276977], [50562481, 3004576], [2804648, 3051081], [77622279, 92028096], [8252240, 3685740], [59014100, 34168856], [84324018, 8077260], [53097941, 84808650], [90494853, 77649495], [86869718, 74047818], [3377032, 31607441], [31887511, 24518991], [88380395, 76121483], [7436846, 36311249], [20715083, 65658358], [54764860, 87955387], [1876930, 78682411], [64492421, 24778502], [41931271, 70078069], [19382248, 65027481], [25273237, 83485925], [55163252, 49538254], [2211494, 92426555], [42730753, 53589021], [50836088, 12738935], [11651594, 82577224], [13953714, 9928037], [20904574, 7814246], [95873934, 91725785], [62431539, 16460310], [12400054, 50428099], [77655896, 18572148], [72474729, 53529318], [70683707, 70580831], [151069, 11907482], [3888598, 23442129], [3336430, 58465141], [88881776, 12350761], [65128547, 6491213], [4600, 21721811], [53866042, 33272782], [28412095, 62826195], [7780435, 3553544], [80322846, 99832767], [34186970, 8870388], [95125033, 18547668], [60843822, 24504253], [90629965, 87614288], [34159140, 47710191], [48136378, 83744616], [17514202, 36624594], [77067326, 43378235], [94587325, 40667574], [65673630, 68754833], [84218036, 19188274], [10838688, 15320505], [51967830, 98972537], [16607561, 4462420], [62818462, 76926014], [58296334, 84679133], [19337851, 12827617], [32925254, 4582484], [51635676, 6175505], [97788532, 30787415], [19495121, 32432336], [12398897, 84785232], [61999595, 5988604], [68690814, 61603217], [21101854, 21699641], [49529110, 57944719], [69546254, 3172203], [89553729, 78266267], [66183800, 49217395], [15381995, 58434287], [39050987, 21903241], [94370738, 23785920], [57670393, 89782243], [21973470, 96789553], [22724846, 19141180], [2320280, 97405964], [29485910, 86963244], [57857490, 66002665], [5076294, 85992339], [71790814, 49624155], [58896431, 30986114], [3895839, 34174799], [54735548, 22046387], [37974758, 95707049], [24484030, 19059123], [21415122, 49790153], [24487716, 71960170], [18799778, 58381159], [58918598, 4682672], [51360053, 16713846], [26984217, 79154203], [60332708, 75482917], [8228960, 35794686], [65291133, 76681868], [55114270, 73590075], [49927756, 85699588], [57191056, 38414912], [32054032, 64573703], [91319899, 11281445], [77591102, 61403421], [63386957, 94442852], [52152070, 85232128], [62451797, 36985930], [23299520, 87661354], [51228751, 26878828], [42962269, 5446895], [53590643, 79796100], [98717460, 3630859], [43136435, 6940228], [42916305, 48263217], [96048041, 39309503], [47509317, 18401520], [38960125, 60178050], [24583257, 78297867], [57534411, 46831970], [96420018, 7071903], [3623809, 76898], [80172126, 68710952], [27815549, 17781414], [34456619, 60518963], [18018733, 13113534], [13431201, 29304464], [45152261, 37637746], [60866933, 49522957], [71275124, 17057242], [56328673, 20649833], [89917445, 42780854], [65996380, 71351815], [53706646, 50825574], [51214605, 16933228], [19270790, 50829376], [24279288, 33832293], [23125542, 23985927], [95286554, 30765330], [99192593, 29266513], [5856116, 61175192], [6552559, 86332124], [51683152, 74866180], [93538096, 61553096], [39505310, 81209706], [34126940, 10601408], [75646191, 20101182], [60456027, 34861453], [17451815, 25179410], [54071384, 3684490], [55205217, 85400898], [23102559, 8066534], [60074265, 77137077], [83146143, 56311243], [34183670, 34196978], [55252970, 31111012], [53231252, 25098002], [22905673, 13434486], [53707879, 79508696], [69691838, 76499885], [21655564, 11930063], [83637231, 87457782], [1634067, 79072125], [40355721, 56095658], [62906051, 65575465], [83848389, 25941032], [1979981, 29893778], [85588853, 48831639], [94874343, 5556643], [96529266, 13148358], [95107875, 14571331], [55923646, 21036843], [408522, 45764401], [59257917, 99517816], [81175162, 54817619], [85785812, 35337228], [6617300, 21569052], [80397542, 35992503], [76584427, 47530417], [41007673, 93196903], [29348558, 35440519], [47370894, 20003776], [24264887, 45961504], [93222588, 16234903], [42999404, 25130977], [26773562, 96914210], [20094839, 67918370], [32801347, 82045953], [15534291, 278798], [6162333, 13868698], [58848859, 53581857], [33963150, 84693879], [25582381, 43792397], [5456980, 99519065], [19807192, 18348698], [30004914, 28237541], [19806518, 38525138], [55739620, 9706591], [35676509, 89336058], [657285, 33128007], [62194705, 21155702], [39462773, 36729066], [28058618, 98963766], [44402914, 77607851], [47509218, 68097759], [13339385, 7221988], [50813601, 10446512], [88832897, 79897794], [63366821, 24866769], [92155892, 63565481], [74052509, 44783377], [62509359, 55423325], [52007956, 62713520], [94673381, 61514249], [8969353, 75163641], [35208705, 71224477], [11614533, 40423765], [50320129, 16173585], [51551405, 35684289], [73579797, 57541789], [21040279, 46145753], [51249552, 98491085], [64522624, 75088439], [12874901, 25621975], [95498732, 39468505], [26967220, 36382550], [53937669, 62169909], [72357542, 58583822], [21856829, 77265201], [71648231, 72175367], [9382271, 56492921], [94573223, 23154506], [35987258, 18299141], [43506634, 70028448], [94173278, 23627126], [97321502, 79457971], [89077551, 15989217], [54923152, 93517271], [91402935, 41331287], [89190169, 99805637], [99636592, 96868971], [99749661, 637155], [12750645, 96223874], [20138565, 96077884], [46267618, 64013847], [80260492, 86735115], [72673259, 59929699], [60865942, 68710300], [24508131, 55923022], [70168417, 11461911], [94139523, 14480550], [20492648, 23821289], [35495081, 78098786], [93486440, 60134507], [70448376, 1006300], [38121971, 59927596], [49836299, 68519145], [82298529, 37514308], [58112459, 37045523], [56794048, 77658069], [93617459, 85620262], [95617690, 71145513], [95146110, 84451136], [56645995, 43726863], [50849506, 85375709], [629435, 48567033], [70547181, 22317988], [9864928, 93338516], [71612504, 94833514], [97841367, 85507391], [83784667, 51845521], [2343450, 53472595], [1724987, 21473523], [63196306, 80606429], [18956593, 17765439], [2575766, 4712109], [54222354, 70698838], [65706331, 39222377], [19634037, 77034395], [76214613, 89721308], [23177269, 58192296], [7088184, 80480225], [69541789, 90846454], [18475593, 71151200], [12545276, 1209815], [20540983, 29104106], [5918429, 36215067], [7443238, 18663717], [97799217, 28760631], [92699630, 76780058], [35810155, 73834975], [27831693, 81406897], [58185920, 1380586], [12654719, 63929792], [96903899, 33961204], [31733317, 66861484], [36140333, 13090000], [34696553, 74402317], [30828698, 42955647], [96777876, 33743852], [19085952, 37265536], [12626193, 74061323], [87465262, 55194823], [97497336, 28868616], [72488908, 89386599], [97721988, 90023271], [98441112, 20890220], [67954498, 95208401], [17426697, 21738824], [16680500, 59199597], [62595489, 51507964], [28482699, 26379230], [60488237, 40288474], [90586719, 82123648], [11785383, 58242104], [65965661, 23025353], [10297436, 10684728], [1431861, 1040845], [14610309, 99948346], [30260356, 47347195], [31647388, 20539567], [37663831, 50878707], [96086209, 42883411], [77014412, 23198167], [49203341, 64922007], [42830594, 41170667], [54458562, 17292772], [43419497, 49551504], [39113896, 96145735], [15151559, 70501160], [20065550, 70406728], [31958974, 17977308], [41870515, 18720856], [77122841, 76813105], [89994630, 65775015], [60374093, 25608514], [66703914, 5929600], [71021864, 17470468], [2238827, 97288522], [49923936, 37101652], [44458917, 48433099], [788520, 31109403], [91271029, 71685823], [67031756, 58921154], [46651184, 31538204], [21597768, 44612900], [17761769, 68195841], [92461414, 7708066], [35368085, 7379232], [17701243, 99147583], [40001768, 52354661], [15616439, 63837902], [78181555, 85719045], [19229682, 89363663], [58170084, 10187325], [68777348, 7572417], [64657758, 94698926], [7397195, 88383751], [38739149, 90124407], [76323100, 23771480], [8903299, 55226105], [1443086, 38706267], [20977854, 65777718], [57715908, 12319068], [94711122, 82196401], [17106803, 58582497], [98838477, 935461], [23236033, 31931029], [6452442, 98960207], [18910741, 48467673], [43411954, 90866056], [16881745, 65698188], [70429163, 8731748], [98573651, 31247613], [60517758, 69776894], [55930311, 29574210], [5452946, 64258034], [15175194, 86672009], [86891608, 6997988], [38192679, 75754854], [7552238, 19968098], [83801194, 35414341], [8583133, 19465698], [62191066, 98386265], [47736423, 61198719], [25681101, 60602320], [67961358, 55006688], [92058250, 34200063], [88616601, 9905793], [51658490, 72050005], [16344604, 47942604], [93818058, 51398841], [85297895, 47889268], [27778249, 68547453], [98801465, 90318969], [85600757, 49192797], [26450873, 82887336], [3432718, 34123371], [63936527, 29464119], [27619208, 3161216], [13347360, 84676134], [24749672, 29455627], [56825442, 30381303], [4353176, 15552719], [16579457, 65843364], [73289105, 51457953], [9130730, 36135096], [38148800, 50231557], [76795609, 81398022], [97529204, 96715039], [98877356, 53295434], [1252379, 8534927], [29700472, 51269701], [40057413, 72635142], [32721207, 57597215], [9613310, 31063218], [61179279, 60473386], [63608602, 72705406], [54950534, 46385173], [82964036, 67142926], [8121808, 81488646], [58447634, 95517938], [56050462, 83469802], [5466883, 90825250], [53397593, 96095194], [76466581, 48268468], [12861227, 6059137], [62119296, 80032314], [98031274, 32487179], [55824685, 98236401], [8552729, 28992413], [85919276, 50667278], [52825820, 88480743], [84931435, 64267422], [72068252, 46190522], [69057401, 83025765], [62785603, 32228728], [16806754, 56435043], [51517624, 13965126], [58637275, 19362003], [76273817, 95080953], [74962096, 14179774], [37413651, 68962960], [27659573, 68346696], [8433907, 58108047], [13463102, 69254461], [99511348, 77082626], [42140485, 33269340], [69746850, 75670281], [25602627, 15370782], [84764629, 10516536], [41079232, 10661980], [32094724, 32974320], [69922151, 43554674], [84679560, 38932856], [91765550, 76538782], [66666946, 88596945], [94484733, 10555168], [41914549, 53998097], [83450488, 64993812], [99148928, 68402396], [74680327, 46039164], [57604193, 29802449], [60523958, 96774857], [81741214, 12755432], [58978305, 69255462], [98180070, 93163350], [77589463, 94431387], [1075305, 71311311], [21860803, 95468173], [24278542, 18604601], [3490421, 57606820], [57193775, 52245245], [73295554, 22612369], [41345892, 19143522], [10914658, 85839900], [76262274, 3587449], [4245328, 19714365], [26971889, 77864118], [76510711, 34865485], [49103036, 25918148], [52697494, 63115511], [73772609, 34868294], [96103493, 54152621], [36114180, 52258911], [11551781, 11539445], [17624151, 20187277], [11979274, 38860248], [1649952, 35790466], [68960735, 71747094], [10704279, 28627618], [4604573, 47403225], [6184963, 16233037], [35678522, 5049303], [55029877, 45633665], [43240716, 99340654], [2381897, 69376069], [99334437, 44181056], [29691233, 32619575], [18279197, 33014212], [21735420, 20093354], [66113858, 32928605], [6783236, 33890959], [61894827, 57271053], [33933019, 13319303], [71877593, 82946081], [47059009, 32541506], [55855789, 47954714], [7028908, 68204323], [15436093, 55405851], [17934167, 57271210], [69867419, 69648492], [37128834, 39314873], [35244589, 85142665], [77800618, 13952474], [37886637, 12093691], [23353642, 51204190], [24587520, 97121696], [25188690, 13022651], [51354402, 3624751], [93093032, 14547330], [61933534, 33486051], [54263674, 21189626], [32871764, 37640110], [41194711, 22361234], [29062199, 43210561], [94027269, 91276252], [91695064, 70015736], [66417819, 8863338], [66328184, 2377560], [51517301, 74430344], [90893269, 68998519], [78025614, 89674658], [21546332, 13332824], [27035457, 91248091], [36273846, 89694721], [11636654, 4445277], [23215121, 8569735], [63025756, 83581211], [2755696, 76195791], [97861358, 78223918], [8113987, 31609801], [10239340, 4977422], [26200154, 78037008], [38352937, 74184213], [13375044, 50215742], [84271406, 30358110], [94456611, 76659763], [1012988, 61431431], [67108824, 17378953], [12930911, 38886023], [4043228, 75589592], [52386195, 63837180], [59566848, 12273416], [53958150, 79642823], [55668124, 39769293], [90722078, 41866327], [41598411, 51724511], [51726930, 1257515], [34177036, 55436218], [58292716, 33636775], [98067369, 68281090], [24938698, 23963171], [57444150, 96222692], [80067804, 93033396], [87709384, 15046180], [11537765, 70953276], [63555852, 59295837], [18031194, 23569802], [58015249, 76336277], [55851472, 87752675], [84462285, 42007878], [67854756, 86443541], [37941787, 97058373], [8362935, 57165819], [16412914, 53889381], [73266465, 86419955], [84288983, 75559197], [40708233, 12172758], [8357095, 24166205], [74201949, 92239911], [89276067, 61796130], [33882132, 63696515], [21218895, 26021172], [47818446, 82826432], [62372028, 50254557], [64013015, 94684002], [55627207, 49903184], [97845465, 823962], [38867281, 22193774], [14941756, 99371872], [71519569, 39961447], [25756347, 13798009], [136659, 29832460], [44048755, 91189549], [28103673, 1045080], [68105437, 72434699], [44900492, 46334492], [345558, 80111138], [77981054, 9008114], [49545088, 93368100], [89640661, 82148015], [89962660, 10141033], [55352681, 96251002], [7080626, 29892244], [90823570, 58328738], [71116817, 87412354], [87551273, 50148484], [1972989, 64452579], [43966283, 50156780], [17442809, 85590357], [42379152, 49742307], [77407643, 45056112], [75897972, 64256113], [65402559, 38710484], [64239556, 26527441], [84775047, 1505262], [9372716, 94878028], [75593927, 47368508], [22177766, 65502760], [87632497, 88170327], [57673284, 50575893], [86200772, 83260604], [78868021, 28036298], [92160758, 62837792], [57965032, 59468981], [81966592, 81275893], [31268027, 16961259], [18854904, 78496077], [647871, 57853489], [29227075, 75183876], [6961144, 19558169], [10014744, 18422162], [12431863, 57815640], [4601935, 4668451], [88987551, 38546719], [33615723, 33622464], [27732203, 17451011], [81997444, 15152076], [68484400, 88544543], [36275208, 30344835], [40545245, 21438080], [60165510, 47554662], [45657343, 9869470], [39170091, 1284246], [31703303, 73464086], [86370842, 30932572], [6840322, 18555387], [20599814, 39923693], [42217954, 81675545], [68411048, 82704481], [86396808, 70185128], [62698092, 9615832], [4767736, 16431422], [70046031, 97804378], [76830599, 13462134], [35747765, 22573434], [74672251, 57434667], [38074573, 61595295], [67576033, 79113943], [48296146, 55566584], [25969493, 73037044], [45295353, 76363165], [59597783, 85988925], [68224020, 27709113], [71414700, 47107649], [85627373, 86584184], [90607082, 8982269], [6079894, 43990200], [6924413, 72825027], [82451474, 21572154], [53556152, 34407725], [47514179, 34230006], [37230577, 97163079], [30842207, 53894221], [24655063, 91397996], [41855007, 67490133], [22783853, 22933926], [74547810, 18472346], [17359446, 4240558], [10963513, 10973520], [43021215, 32603948], [83215109, 71616028], [72815284, 80588467], [161696, 31375964], [26176765, 267792], [61507106, 65621316], [18739432, 50875490], [92672200, 59806], [74319002, 48135679], [85850996, 28809297], [77316363, 76293067], [26227368, 28097242], [57996054, 38990094], [16609178, 60255921], [6956392, 17001364], [20410489, 23693620], [27885862, 91421656], [74583226, 93601016], [22346122, 41719262], [26415996, 64427313], [20368863, 76023563], [99489275, 97257370], [3254872, 41959089], [93500788, 85446049], [77193692, 69686047], [81966847, 2390938], [51805735, 68900215], [5697945, 94216505], [52378795, 60762616], [3870001, 33135519], [80436047, 51892157], [76709488, 91663226], [30429787, 72419198], [6148933, 34841862], [10377305, 24716906], [98188027, 7553439], [69402350, 18723785], [9938605, 33993357], [66938045, 83943570], [67507079, 92195774], [66436547, 34464587], [62371014, 3086217], [21183619, 32841541], [64992160, 16776336], [80304661, 50564852], [24269695, 39175026], [10359986, 38745092], [35127089, 63495819], [54410, 47910946], [24400837, 10393662], [60410574, 19427525], [26474115, 30979404], [9331042, 28020062], [66658096, 21945475], [80801271, 27401194], [4442990, 17512781], [54572365, 13390392], [64456665, 78603079], [30898355, 98059040], [98562200, 78378000], [44381221, 83500797], [15536232, 58646222], [22634796, 35556508], [30699912, 89010478], [35273588, 83032527], [41957875, 87919955], [74676498, 16584959], [27954596, 53546897], [35289584, 41798454], [17278761, 96439229], [37882309, 38539311], [26527638, 82164611], [82176827, 60122193], [36281471, 31579470], [5311856, 66775637], [33978696, 19759670], [61557447, 67591113], [28396164, 35303335], [80470342, 36212795], [3864373, 54197247], [63881882, 21113410], [46215634, 85887194], [16379367, 72587173], [75204951, 53462236], [17173523, 14093528], [42051798, 74968953], [68007261, 64168278], [53341121, 72681107], [53346519, 57200784], [78171067, 34995075], [4329031, 77528336], [34371366, 66499679], [92416271, 58788272], [54490545, 8745976], [14591709, 67425891], [14514579, 84628952], [19942364, 92825350], [56010862, 71992061], [17199478, 24405035], [14208412, 71235879], [78619745, 26773131], [41676993, 65289251], [1159204, 58662517], [99729271, 7893954], [31368793, 76986949], [25915496, 19072296], [52151289, 99768994], [14505823, 7198468], [8396929, 69991912], [32582956, 31807581], [1364952, 74352790], [73204704, 42345346], [21215862, 35593771], [786272, 31967036], [14656238, 95023641], [57740637, 74024972], [37708247, 2741869], [97486228, 29043350], [3540078, 22742328], [57859239, 70790967], [23140431, 7735898], [2587697, 82852649], [47981340, 17841642], [58179359, 90214381], [54166455, 72473350], [24863630, 35649393], [10137014, 12379035], [23345608, 35867049], [4491619, 14653531], [25834582, 97693629], [10917392, 64865211], [2935425, 44987407], [51289156, 97239001], [56129339, 84194284], [5984610, 82436743], [25618659, 71536420], [21157608, 94561922], [58854890, 52023031], [41166686, 3082815], [98630632, 51981234], [94128793, 38745304], [40757363, 1206282], [87772203, 57181], [77225601, 73589490], [44895842, 46247996], [89617313, 95417031], [76108787, 68653366], [87804692, 61458826], [12021515, 91815590], [20636215, 97996104], [300804, 54412120], [77187618, 93287233], [85400239, 35826889], [55284241, 94661676], [92273322, 59646385], [27992438, 88650726], [54636365, 28551068], [66742935, 3135503], [34019998, 55830221], [41206516, 13049023], [5974930, 26452283], [98775527, 80184363], [94475083, 14468837], [60034366, 88717632], [33106763, 17302440], [34804299, 39495581], [24111702, 57999966], [43728905, 15431555], [71400664, 90019662], [88025069, 98765556], [31774319, 27579964], [44585753, 51789540], [98292047, 29234916], [44284720, 23934913], [17447432, 29078203], [88312377, 16764990], [19655930, 94802817], [4563278, 52446249], [71533892, 74318365], [76340363, 27117339], [27645306, 38544314], [5098323, 8928519], [50610881, 32421271], [44820130, 75609346], [13254658, 47313528], [17590671, 12673545], [81910583, 27577666], [39837599, 79508158], [41672490, 90026241], [78690679, 31604772], [37282088, 32691016], [16321529, 8023297], [23964316, 87078659], [57645736, 40968325], [64795669, 70855771], [15518273, 82413623], [10269483, 59569898], [96345479, 67002616], [41085359, 14655520], [58293593, 84871177], [42073037, 52582829], [58849990, 43531794], [92449553, 90205776], [88095120, 30760621], [15927106, 50880586], [36387918, 39387516], [58642719, 85661275], [63399582, 17761945], [70714046, 25077779], [99790813, 24140797], [44630895, 78764844], [86277889, 78116846], [91052975, 31805668], [62549211, 30234367], [97932996, 94037425], [40567342, 82988299], [15217610, 60014815], [53186184, 26890377], [38003219, 9450866], [65674549, 84112741], [34916452, 41397131], [9284755, 35930151], [7856237, 19027658], [58254169, 66431565], [64510838, 91249304], [63921209, 79510326], [57173385, 39432694], [64495179, 80405769], [15307911, 28717774], [86675205, 3620213], [18231667, 4416011], [98895572, 79807894], [94167453, 85821218], [43982997, 68911487], [12042722, 62509772], [30510860, 38744190], [25957447, 71701458], [45610337, 8868757], [2855403, 96252340], [39101319, 31799536], [5343419, 38811002], [66183028, 58968901], [60931200, 44501356], [91791042, 41268525], [44400920, 63911048], [38016235, 31125729], [86953129, 66758656], [36739489, 92980877], [29212688, 76744642], [51661253, 57570844], [37758007, 97602995], [29057887, 62563717], [91449609, 56912101], [70576837, 51766450], [72282896, 32097066], [34457736, 12520838], [41067375, 14601305], [45600998, 45467294], [46483932, 36248602], [32243820, 17835027], [6342495, 89729841], [72920890, 33465640], [68102764, 51345393], [13898066, 72351728], [62002685, 8560600], [47476926, 23678472], [62773794, 50024987], [62224882, 5746536], [73262347, 62489144], [29623973, 11293362], [30697880, 38290588], [30553669, 74215448], [98539548, 68857932], [48056746, 33200918], [34442928, 37197303], [13410683, 53878906], [89599045, 66105713], [66867224, 26937856], [93790352, 6797494], [9436054, 64507041], [33621476, 66129381], [97445543, 13958144], [13882448, 65699874], [94574959, 7133877], [98039095, 34002271], [12364855, 90556890], [3655822, 45958127], [84502926, 644802], [95154311, 91934751], [4233218, 33809870], [32732272, 91960856], [22617906, 14922171], [29987068, 12825306], [42577520, 60490957], [47197715, 8866123], [9741965, 33637189], [90907723, 43353448], [26910913, 29861806], [74242526, 26563548], [23402789, 21352195], [1328185, 9302308], [16845319, 57050741], [4892637, 70279518], [54328129, 45776766], [31450696, 10544332], [68764972, 55746712], [97748069, 48941805], [18191250, 84451357], [78736777, 50190190], [64424831, 62706477], [84762915, 56515667], [59457500, 2943206], [16130004, 47830731], [94387905, 10781836], [14899730, 63260409], [22779723, 67936519], [49164117, 63433243], [18813488, 95497109], [47489420, 71929907], [36568706, 22702851], [65223034, 75975222], [30255315, 4938140], [14341558, 1178151], [56320467, 53381229], [4250533, 21627890], [5408612, 44839843], [21602845, 63163003], [27334041, 44467800], [34702130, 84041784], [80241092, 13483261], [65630403, 87529681], [56104643, 71498229], [31914731, 54420093], [57419974, 17253231], [14585964, 40643594], [35584211, 88081916], [94647628, 11437242], [10535245, 20893996], [77494045, 63280938], [28323595, 49437596], [85881869, 77956896], [14427821, 95053781], [91680256, 90194067], [36386493, 71410497], [74911770, 75568966], [65901105, 87273538], [55267977, 62474590], [31696657, 72440973], [24212957, 64282065], [4048214, 35654546], [14539551, 38365302], [39587515, 61398190], [90576509, 12147096], [61846116, 62472289], [12994969, 23622268], [94888684, 49815873], [65524026, 12507864], [22178670, 75023506], [13130637, 34456507], [28100244, 57202552], [49812265, 12591280], [47239685, 83680792], [50731240, 76446477], [48228259, 48970106], [20357017, 34136595], [61927577, 73155011], [42874109, 26325923], [33910112, 56332532], [72728112, 7395854], [9403177, 48489925], [68820580, 81727112], [77605376, 12843106], [4601977, 14489758], [25537211, 98797357], [16235617, 67771604], [65879028, 19465587], [27936831, 22335899], [18067053, 34984572], [74113530, 95501273], [68655385, 37054004], [14188309, 97103560], [89546805, 11934124], [51634515, 49341069], [71882076, 23822612], [78666166, 56613815], [71161744, 46323780], [76199855, 40276106], [38327514, 89369688], [14211413, 52101426], [23399655, 8551539], [93448606, 61408787], [90485388, 76867972], [73903476, 72974996], [11220710, 14279338], [62957232, 9801134], [64722319, 55005267], [21492213, 22697974], [39373017, 14905647], [73335665, 37654557], [63495558, 20767230], [11709019, 88111059], [99697819, 4258150], [1450803, 92388068], [54665341, 66301228], [62110871, 58382922], [51822742, 84966532], [69543134, 31683883], [41311299, 34954538], [90006717, 33941026], [12507564, 93364853], [24239902, 6022585], [67707184, 263314], [41460761, 23010959], [3193018, 83496404], [4932021, 9171209], [4672163, 49846485], [6670620, 65163826], [17229956, 29853719], [81932510, 1530596], [73096943, 76789799], [76055022, 6231291], [17771056, 76121429], [68614476, 58533410], [54974720, 15486407], [59730469, 37211388], [96364737, 42362491], [28087702, 85029554], [57720859, 9200826], [51529244, 13479313], [266853, 80264063], [63068396, 76029840], [60385906, 49051993], [61213097, 81246213], [13912949, 79442583], [42537528, 13400135], [29360853, 70147752], [75607790, 83543422], [6742385, 95327080], [74542986, 72073318], [65865974, 63320299], [1997374, 96746942], [101952, 30443322], [68645301, 71541156], [67144160, 18663382], [78010783, 83489667], [5262672, 7283713], [16214377, 78957697], [52841592, 86864300], [27706513, 47612772], [52749129, 22886641], [17221827, 86864390], [61599529, 51318616], [31677183, 30768868], [19624493, 22423404], [96555774, 30965514], [567506, 32030065], [39026525, 93565114], [9338355, 99984696], [84732442, 2530], [96674097, 55842557], [66981135, 25705312], [5862752, 53247996], [73781047, 7604067], [17177446, 92324310], [14250410, 52206881], [70075905, 40771773], [35187307, 39338993], [7483514, 33148811], [72814120, 987286], [3509180, 6272458], [6320674, 25319054], [44396849, 17393421], [77887225, 14439981], [21312312, 81166146], [66732064, 70883009], [51116218, 49342441], [10917818, 28926668], [4008890, 21820831], [42959566, 95330458], [75590307, 13929353], [11087296, 95615486], [64009083, 47576313], [88702663, 15264346], [9411425, 66784544], [30647686, 4908740], [20717836, 35361989], [63682362, 46458728], [77926032, 60694744], [34621320, 38705530], [49810387, 95253641], [8338109, 5542697], [92590459, 31158779], [8638981, 77895360], [11246345, 52558927], [30212778, 5494221], [14634044, 52254945], [1966693, 58122362], [81941600, 55555083], [60130630, 25773188], [27498152, 77543889], [99549084, 7077660], [33415235, 61666332], [80722563, 63112937], [81979729, 65623411], [43819952, 63059243], [56972096, 40485641], [84913152, 28424832], [81293128, 47142451], [62857489, 91250698], [5632093, 82630423], [59964513, 32195644], [14650935, 12099785], [12715412, 4912406], [8493007, 80431589], [98333608, 74812312], [57052012, 36372812], [77998518, 53485256], [82798911, 91490616], [16032653, 53585713], [49555518, 95616553], [4247240, 18123324], [55113574, 21300941], [10824027, 96790885], [78654283, 80896124], [23758684, 98381744], [6265241, 30946701], [87121097, 8754037], [39838699, 38233107], [4160057, 97148892], [54818179, 47842756], [7425589, 17201607], [34324832, 46159332], [14072858, 4865716], [27958851, 86517162], [64995602, 46428817], [43526091, 34947801], [92111041, 58492076], [2596474, 55689223], [55685419, 25772367], [38867863, 21538097], [92461340, 85027997], [47647736, 25572100], [84453776, 47042293], [24790930, 12658413], [75902901, 98623080], [25648139, 97358511], [17611498, 21059251], [71640506, 10395305], [21527981, 62340764], [899205, 64571052], [90099106, 8987532], [67203826, 72104440], [39027643, 45342863], [36035672, 15882482], [85694142, 69686855], [76053858, 62301136], [30662499, 47535877], [17690326, 80848546], [15213209, 5912478], [83354183, 63183868], [92494424, 63597834], [98545374, 22700566], [20002837, 66757658], [15622193, 90955680], [27025281, 56093585], [48104673, 91193607], [6945804, 47545590], [63981676, 66381253], [80682051, 53991923], [55759149, 39022266], [18699187, 80981842], [97418822, 63747677], [49105045, 21417385], [54967991, 86849527], [2511515, 95447016], [27757650, 87307733], [72449893, 23570545], [87333863, 64432847], [43950806, 48726723], [55844235, 71248129], [12440847, 96804406], [71408065, 71945185], [72691090, 90215470], [66552109, 61022088], [97565146, 35801867], [31951591, 10934952], [59668031, 98748694], [41835746, 93140131], [19003606, 68840353], [90216322, 43610482], [9923560, 78008752], [7129396, 36796541], [21764942, 65333478], [98101602, 33206178], [56965138, 35545173], [98304639, 25371404], [95401559, 10008547], [73090096, 72336545], [26065616, 3005261], [42627848, 98155062], [6425579, 32611208], [57758249, 23259476], [90850857, 59973356], [1103507, 99623695], [45481202, 59494829], [98205623, 61015659], [474098, 2539565], [94998773, 91515438], [29843299, 705508], [28630010, 79709851], [20604045, 60870706], [76668742, 4388345], [33252471, 69332540], [40830265, 7496747], [3653999, 88942157], [67777506, 43222229], [36130017, 98545177], [46034084, 78186177], [99268378, 17403107], [59507245, 49973958], [50860780, 68936467], [14707480, 96538406], [659795, 99139405], [11038307, 38857938], [76695839, 19537081], [89718396, 63262754], [82603567, 55802633], [53120926, 21901841], [96185324, 67634026], [35510467, 80379656], [63639975, 70682349], [64049265, 95498127], [59476808, 55846200], [71604408, 37836075], [2023701, 59328706], [88152515, 76776786], [2670840, 39663138], [28247884, 30023701], [28236431, 12821534], [96156601, 29578875], [45511213, 90963608], [10469031, 97281350], [45154156, 95663403], [6447395, 32344258], [94728970, 91352795], [31187927, 56822061], [85546688, 46679629], [6918120, 88360816], [19564154, 51432305], [85122340, 76653537], [10670137, 47118365], [65742679, 49237577], [67430958, 57311890], [44310284, 74527972], [68340842, 6649992], [87943602, 61726019], [20358506, 37692123], [11877413, 89351874], [62103997, 89924328], [99591888, 11504610], [65194976, 67619040], [49572321, 16876704], [57382001, 31313558], [69654719, 79676101], [43967096, 82764772], [51913795, 63680707], [14355017, 79073565], [6314842, 37136549], [82337972, 25860317], [46396490, 11552401], [87614535, 72938396], [31161472, 97060555], [78302410, 42690052], [49263580, 49368484], [12273304, 68331839], [15338524, 36815690], [60443380, 20596422], [21488496, 19630133], [62137370, 17019963], [80897910, 92186892], [24221388, 20964961], [58395200, 50126813], [92452791, 11986784], [4628734, 96645480], [29999299, 646833], [22504353, 38879512], [67411106, 99287541], [74005641, 8421792], [32414904, 38200599], [74288630, 17711786], [60941439, 80584926], [79384892, 57502742], [71575758, 9585357], [42447009, 8938696], [2524416, 98038474], [3619719, 62282141], [31973254, 35129685], [93873403, 56392036], [47563625, 43486992], [50182213, 90424589], [96826029, 82131471], [96654, 40215048], [53182086, 55580184], [98273222, 6371534], [40328528, 40030573], [29564780, 9163463], [18704541, 54570737], [90728592, 64846063], [40950457, 47455091], [40514065, 7289527], [10989847, 49490436], [71751639, 43874211], [66267444, 52808980], [92444974, 74393684], [78609367, 79323405], [19725173, 98742685], [10463699, 44813273], [36736174, 15947049], [5426969, 45231870], [3879324, 34100194], [33559372, 36916179], [99127823, 54253646], [5208953, 26487274], [77453004, 58853166], [12938590, 96522867], [44791513, 36093604], [53016216, 97606926], [36694349, 18657999], [48541696, 34013262], [72373195, 45296231], [93428912, 79452907], [74099742, 46525727], [99787289, 23221967], [47989463, 64696614], [86398367, 63718245], [26084675, 81567284], [89350406, 13756971], [14237731, 51649634], [53130285, 70732881], [19787686, 88147269], [72768054, 43579835], [90220217, 382412], [77168587, 95509882], [10899888, 47048412], [39220851, 78805992], [13503387, 10397813], [11880184, 23037295], [47641505, 39266745], [23114578, 32795807], [51302010, 47408397], [93379721, 57687582], [27220513, 97528299], [41410705, 97207497], [14493437, 8118711], [51418923, 32750599], [81403611, 5593940], [91150214, 22713898], [41663878, 74010304], [76221601, 8028438], [43702641, 3329916], [4694451, 75451688], [54252830, 88868025], [83795693, 56165807], [49412062, 43976572], [36736450, 33514179], [98764324, 56138546], [88229467, 84780983], [30103692, 38749672], [21290724, 63328221], [93792951, 70576792], [662198, 85714352], [85284991, 42451345], [68356792, 97537339], [19496104, 46074042], [57150097, 45192117], [99229380, 43891265], [34283329, 65211739], [25641803, 90843127], [95249807, 58355721], [21136127, 74695408], [79630531, 2543573], [72888481, 21607523], [11468852, 18195479], [8264323, 44673626], [61268984, 63680079], [89135344, 59015762], [55491713, 42886172], [61844402, 91761191], [83946297, 49749032], [17468829, 18026759], [75203232, 67260517], [17341269, 26909837], [2797791, 80179757], [53141346, 42063706], [1443674, 61709906], [84311792, 23433796], [93242627, 2537887], [71894116, 62788879], [69735594, 12456981], [50140339, 62836646], [50282264, 99527362], [57008560, 58644562], [65969103, 46695286], [83252327, 75498485], [43044481, 11768731], [40399773, 42834088], [61311057, 37100382], [19580942, 97129597], [17371127, 38139161], [52828591, 43975974], [80687951, 26927076], [36403821, 27422826], [77499981, 37239778], [37473326, 30479306], [20560700, 72090372], [95735068, 51765137], [58950645, 12781350], [86700653, 6203684], [56484906, 89067445], [37848132, 74917902], [30464756, 27268742], [57622518, 34204767], [45482384, 12706369], [85282205, 54549753], [36733499, 63133019], [88243024, 53270741], [99263385, 60578118], [89953537, 8109845], [26467270, 53842629], [87631628, 10283334], [89557032, 25538722], [26581372, 21681844], [79509104, 13533556], [83391360, 73818380], [7806314, 64081319], [96697865, 55330036], [8813845, 39505111], [7452928, 61166210], [33389591, 16121017], [57883324, 44097696], [46581008, 85679409], [72319776, 30376349], [29258964, 99188625], [6804465, 27861951], [12370482, 53151458], [55193348, 82230328], [24387620, 84376302], [71894249, 22351154], [89588961, 80023675], [42826749, 84361398], [43308904, 48044710], [21034943, 38021641], [28476332, 20285839], [43843411, 12903972], [80424607, 87007260], [3406944, 54277344], [87127897, 28036869], [21655186, 90706786], [75044126, 72604081], [23825548, 16770688], [85412300, 96927305], [96837489, 48546529], [81467201, 12375751], [98643673, 45041059], [35045470, 33616992], [32041009, 57853854], [979554, 16334858], [24428502, 7538345], [14126599, 9251937], [44558044, 98818306], [22918209, 97062500], [97155251, 68626292], [91728998, 9764369], [90739171, 5505892], [3471221, 65026153], [84297266, 47845638], [83380135, 70564584], [30587006, 67653849], [18860653, 44056022], [97267334, 60149049], [88158402, 40870993], [7354276, 85030251], [66524494, 292980], [11490462, 95243481], [25254042, 4810715], [35021234, 87272042], [8987992, 32396185], [81881723, 57192241], [65329885, 23646907], [60509509, 57067322], [46535812, 8022174], [57080554, 84114309], [78011397, 74281786], [91102155, 66126949], [88897539, 1706778], [28790207, 43577061], [74601661, 99791718], [58638954, 48387205], [2278500, 4446839], [21381723, 31370844], [89248437, 41390128], [64583685, 31024362], [23003270, 49821204], [94362684, 36921176], [40227446, 67794890], [48173291, 67513515], [50498451, 16555374], [90139546, 53832461], [23439287, 54943544], [41001479, 97473018], [16009371, 24458821], [71923530, 6267948], [20248388, 94777556], [34184213, 21092109], [21608132, 31734275], [97175788, 38956120], [23949450, 12012208], [25708780, 80518535], [50753902, 6576898], [60667420, 42946770], [7293510, 60910419], [86081222, 66236447], [72180580, 16501648], [98253728, 61946704], [30408666, 57133829], [16387849, 88282232], [35126581, 26385001], [46834243, 64502317], [59026242, 46414737], [29282292, 74210364], [4575694, 54417696], [8768299, 25753893], [59852412, 87657766], [50406230, 57551924], [92093891, 99246400], [54349456, 81111546], [92422427, 28227532], [12701464, 27581785], [65074126, 27652955], [82655236, 76025289], [308057, 66118826], [10053144, 96474788], [39630492, 58304633], [5808033, 94835878], [92890578, 97669688], [83612346, 41144313], [71303994, 56672426], [61032144, 2081702], [86648643, 8614865], [23185984, 99316540], [65476658, 39574732], [58023761, 14545440], [25658416, 52754295], [70932377, 49232580], [87023928, 3095790], [59698487, 53069581], [66571419, 55864585], [51987614, 22758313], [5933003, 24546742], [13140716, 27693333], [78782068, 61856637], [19395803, 56086670], [35885997, 63272270], [76369833, 56849269], [38717726, 57362458], [86447157, 34215468], [22356687, 45497991], [24616556, 19899285], [13862717, 74338851], [82530488, 76817740], [13737897, 44261025], [80568546, 84381543], [71480296, 98352856], [94282122, 9692992], [6237127, 64690837], [74406780, 54125354], [28782682, 15326161], [80099270, 64817097], [72408042, 59770458], [73279485, 3355410], [43701050, 99918780], [51057913, 472415], [87118525, 97655745], [71547301, 35278499], [12639245, 66709007], [67019097, 92618480], [2402416, 28413559], [32221964, 78508539], [32116924, 24170722], [61136709, 61301236], [80891291, 18267056], [24005604, 12926512], [99517633, 36671176], [42912157, 39283933], [76766728, 90525484], [67428692, 55646131], [35964787, 13047469], [18319500, 82472414], [59395332, 77679066], [97779138, 81794126], [90319164, 4019230], [5195522, 84168245], [88694644, 37116979], [60413896, 81888661], [42627955, 28229647], [10482795, 40528647], [86569535, 37817706], [18570520, 53787951], [34052231, 59250903], [81395390, 51951483], [17333105, 6146090], [72968121, 54285573], [92914901, 33660950], [45019444, 94251148], [64063210, 15706368], [87838308, 68287785], [12474260, 95832296], [76549551, 79287104], [92413425, 20169350], [42399365, 83272787], [41995347, 99048775], [14365783, 40117146], [13872536, 74135566], [68831926, 34896797], [1217296, 43318863], [85059355, 31029653], [97963796, 60255630], [97956656, 93964838], [33737761, 85484430], [32120094, 94294380], [1181535, 41533973], [93953896, 85018171], [34051061, 98941211], [87015205, 64106986], [5737407, 20776873], [22938637, 49802005], [90803008, 83747749], [85404739, 38997355], [84406620, 40481290], [75306106, 32084284], [19583734, 40216060], [67289875, 22734448], [30757752, 41310354], [57699323, 61873907], [72290159, 91209895], [39540398, 60591240], [74237813, 80435100], [33756184, 20236666], [56011906, 43065089], [38921332, 87137339], [67714630, 65763277], [22804634, 55429339], [63646543, 95459104], [18512027, 99790245], [46504596, 30813591], [97086668, 62373675], [24525802, 7663377], [43319272, 63882617], [54737084, 57972913], [80606507, 93301055], [93721165, 27185787], [4567712, 35975701], [43210362, 62653938], [26155375, 96695677], [84715701, 48773150], [21895783, 86231617], [19280334, 86566340], [27815078, 73102453], [64338113, 29886304], [16783634, 22823259], [77178379, 13519433], [40110048, 21802829], [61086556, 88235514], [98266194, 52369674], [48411585, 73112262], [40513949, 41160158], [60978620, 56877824], [83695826, 24740841], [82510255, 997473], [64109595, 85453530], [83488213, 31953169], [59421844, 39014209], [9141685, 72541035], [19997760, 71806941], [38777700, 64996644], [14216616, 95457969], [8300040, 65257147], [79750941, 34403227], [42130636, 11390625], [17190865, 8055683], [60581363, 83311807], [7096063, 35988306], [92521287, 36376264], [87790380, 73849269], [5104181, 19491744], [64286670, 52503992], [74975221, 80539917], [75613793, 38724204], [3788594, 82313515], [1922896, 59411160], [79654493, 59973362], [84939945, 79358067], [45868363, 96284312], [97365605, 82598591], [89516193, 43140478], [30616682, 94046308], [72454587, 52629260], [6159146, 67572941], [97916399, 27846011], [70691186, 90928415], [52353146, 76678903], [58105750, 71992215], [60765931, 22720094], [63674601, 23491637], [98931915, 85977890], [83417821, 16134739], [13409232, 33033206], [9134229, 53529251], [3529533, 64168597], [41151056, 1344427], [74667249, 87638211], [78512598, 62960547], [73014486, 24235108], [45174758, 7683598], [57997624, 94431564], [96622006, 84749989], [3013481, 77150880], [48459373, 3163891], [14206529, 31153060], [73660738, 56323546], [85525470, 81007282], [16805642, 60781958], [77044067, 40275450], [81731314, 67385553], [96352398, 20029704], [35759789, 97002663], [28228472, 25350372], [37256920, 50077675], [22720464, 29376542], [71494954, 72405784], [74086473, 684642], [50262294, 48848855], [65651339, 46432169], [12690217, 71349198], [75357443, 40123163], [68068898, 53490732], [5563654, 44966704], [72396896, 20856276], [69943433, 56683379], [75981554, 46272980], [34268610, 81929414], [22763913, 48696535], [17375366, 56796696], [43717312, 76833214], [17612918, 52784194], [92586753, 99168516], [62759950, 30174100], [70971924, 11138341], [31869388, 94269907], [38296133, 59042485], [4663782, 49530847], [37740588, 62765886], [19792308, 84899337], [45447052, 18925430], [52032410, 23924522], [41447322, 1141878], [63551650, 90922592], [52872134, 73984081], [3796395, 84302180], [15060886, 92993384], [98178768, 83066307], [80983730, 56191953], [46140826, 31275915], [75903154, 61116696], [42255453, 19879262], [82127924, 22799263], [96653140, 32620621], [30356747, 75912587], [73041, 93705147], [74669234, 18331347], [98767112, 42220163], [84622122, 26677086], [21604231, 97679975], [50447710, 55898465], [17467992, 88960668], [94814578, 19953851], [37805454, 7086149], [37534879, 52899015], [48948571, 58982153], [24854360, 63929060], [33330529, 58538081], [7097757, 61850593], [80026306, 40751385], [50504594, 63071289], [65121465, 50342904], [60975028, 16180040], [56124707, 29423980], [35375906, 44863282], [19427186, 18293257], [36368731, 95193769], [30570222, 34730615], [19754285, 88122104], [19501364, 35838884], [90584537, 44754493], [47303470, 51609185], [83243734, 71680656], [61482173, 55160718], [81641276, 42972954], [13958289, 83732146], [9895134, 54878649], [12147192, 69495175], [74902597, 32275625], [85991031, 10569246], [11767301, 60712140], [11039452, 91464906], [26930991, 2815862], [79840056, 31674549], [41955711, 29134461], [33775345, 46721516], [26630014, 66788103], [57068889, 77787337], [80574051, 42296168], [6299845, 18809075], [82948865, 4316934], [29006720, 66307493], [73201102, 67176667], [93129899, 56930017], [49870307, 45264964], [99157016, 92387411], [57010445, 2234609], [87471595, 78525251], [29941112, 6279795], [66924215, 32289130], [80706783, 71711082], [58240202, 50983578], [5251845, 61220043], [79531998, 78529337], [2104656, 26134363], [74952572, 32848552], [85912059, 91737123], [59892988, 70263754], [95840017, 8857257], [20122373, 18267502], [11717699, 83571720], [78486610, 70529928], [31744296, 79671555], [55449337, 61741081], [40847436, 77478944], [91741183, 46720553], [87703131, 1128240], [81898682, 63019407], [50220240, 19614745], [47093230, 71175765], [45113972, 30122159], [17848991, 71177902], [54942317, 83360059], [147432, 61411066], [10795905, 17133644], [84649769, 90351708], [92900403, 21933738], [17742599, 62658525], [54319929, 60942531], [47895143, 35530352], [83428375, 58968719], [93505103, 67013505], [15229855, 68025305], [74275041, 15131430], [253304, 2055200], [71888058, 45543645], [15056877, 31377226], [64687582, 65123491], [99929708, 14681180], [53471887, 14758656], [98302991, 87614546], [66042600, 15904100], [88757760, 242918], [15823925, 69044736], [8520061, 96134119], [49319711, 71153222], [69938677, 82561361], [23767678, 5386029], [21874807, 36624396], [66968739, 72955320], [31609706, 36816936], [72628579, 39815208], [64414473, 60541537], [34274686, 24824633], [53164028, 85869628], [98539706, 43938554], [21477655, 99815206], [35755695, 65659956], [66780493, 21740311], [21712142, 72461142], [47068895, 58570992], [6222595, 78818196], [85585781, 19640902], [51748684, 50839525], [78531404, 9129597], [34242016, 70587867], [14997912, 61827385], [75546538, 89610743], [47380548, 34036456], [76626549, 96408318], [90120791, 20819739], [3206428, 11060069], [82847628, 74034484], [28731077, 2421148], [12738128, 22218222], [62910631, 43484183], [75149630, 68079908], [36346179, 87593593], [90277639, 98189298], [39590767, 95026161], [34328820, 6586837], [54484921, 22094227], [95673144, 12657933], [14970058, 79488855], [83475477, 79042729], [71135965, 11158649], [66713359, 76162643], [84214793, 510119], [54680704, 83605245], [64835757, 53564373], [51151004, 85549832], [41634410, 3019541], [22674050, 158586], [797991, 22472613], [3446926, 27635382], [81559465, 44254470], [52019038, 26408599], [4908858, 12233778], [24149644, 1513556], [6264405, 51674721], [61860807, 20348260], [38529747, 12547342], [84877991, 3752034], [65379691, 17090602], [34707382, 87923642], [10890005, 35600155], [82727955, 80358072], [76159013, 98449532], [93387564, 85404863], [36049096, 20229586], [4581312, 42459763], [7495512, 61794495], [86735293, 7754385], [3890486, 92055928], [60398377, 25906025], [10917678, 14065490], [70589465, 48225945], [738141, 3797157], [89281630, 35021185], [98005592, 99436332], [36997993, 37259703], [10585909, 51880998], [82954356, 62736610], [10563812, 1788739], [62901231, 34461770], [21567851, 81297577], [94610351, 34909149], [22215543, 38727119], [30900045, 64545751], [36452087, 40861978], [57365439, 26468311], [36108763, 22863550], [91346953, 38422238], [14909384, 85451431], [72501917, 39710160], [8850914, 35359097], [65833141, 14638355], [32315204, 1974142], [70326866, 57999436], [89989151, 30947236], [72709645, 57753372], [81079179, 27275363], [57236867, 51293940], [71154920, 17634924], [89311051, 97567079], [32177349, 19576402], [48818492, 23857247], [48884932, 81089721], [552051, 24418115], [86775412, 27053417], [58969612, 21773755], [63954358, 43257732], [298825, 21470297], [6728149, 88452184], [95833781, 89164073], [51471809, 96751906], [26065953, 59613550], [22259838, 5080817], [47140667, 65829644], [36022005, 13465001], [32261616, 95732892], [4133537, 70740961], [39268832, 52579172], [67293803, 66015393], [89841284, 84736455], [79650102, 59331427], [45954257, 94230012], [53226076, 13454044], [49284905, 638326], [55043190, 24744033], [70993063, 67660778], [85615326, 15432941], [83656084, 83753433], [33134384, 51618967], [5462641, 11074824], [34367555, 7084739], [33661688, 8721859], [30753431, 50535672], [60792698, 94212653], [51329267, 37305291], [76507630, 25541649], [76064089, 56543200], [56477220, 31090536], [70995931, 60702216], [76395286, 89894768], [52319233, 597798], [39182941, 35187880], [25820004, 68764908], [93752620, 68852847], [16899047, 60566340], [76303296, 63236431], [55932571, 81111503], [66058427, 52682380], [4159896, 93643366], [77226237, 4381640], [47139304, 55228062], [10656152, 60373862], [83134648, 44983127], [19986198, 19163449], [53378959, 14863632], [30527785, 7103604], [3867955, 77330507], [5825675, 77940038], [77889916, 88510657], [39890570, 94145293], [85027225, 6627750], [65886380, 81984235], [21632572, 35486835], [11543238, 70423480], [30597430, 73387624], [14444435, 26286356], [71371732, 64151585], [3871249, 10467706], [79666619, 66000685], [78847422, 45497047], [80500188, 96488493], [91280666, 30848513], [71781781, 37633819], [24100948, 70871503], [10023230, 26691577], [13554704, 85708616], [6125649, 76434821], [70204773, 92618918], [10271794, 22681796], [3850037, 94242279], [11932993, 48839828], [63182668, 83802757], [61862860, 94186909], [19988230, 10056317], [49628018, 25759522], [12063547, 39691071], [27402301, 52951478], [9679497, 10319609], [18281691, 56247255], [44100655, 49816723], [13742872, 45786666], [18300727, 55361732], [79902711, 59835336], [9597565, 10825045], [88789297, 22009129], [66236755, 80844298], [23999954, 76603862], [57022479, 27557463], [83219594, 68928398], [47206470, 82991928], [23113023, 98529883], [11700476, 75430527], [7021026, 88972806], [86119387, 7095648], [30266346, 49130989], [28106936, 99475082], [6111045, 49748480], [71823024, 73590172], [23237338, 74244511], [21758392, 34304027], [62475854, 2233900], [50983343, 37796263], [74405170, 18032024], [66435478, 77412525], [1433368, 90496215], [51133276, 90583552], [60838064, 34924547], [23997669, 73716729], [47202523, 73803808], [39402643, 82903622], [38843607, 20871151], [77038227, 49871619], [28720121, 26630543], [7163793, 33580644], [52557472, 20779969], [665717, 57180611], [16769899, 54734873], [5182821, 35839887], [96167578, 92989045], [35836298, 3829197], [59156377, 43992056], [85451172, 4521492], [47156960, 36614759], [59316284, 49343377], [38047118, 2253896], [45166651, 74455004], [52945327, 80777433], [59610560, 83488021], [67155363, 86220600], [1249945, 87027441], [67050477, 12052767], [10746983, 443146], [77828957, 61731249], [79903925, 71641193], [13910231, 47828410], [51815961, 9089099], [47278145, 92730774], [71872264, 71218619], [22947738, 98287655], [92404904, 47358689], [45502683, 44105926], [75825422, 53474989], [44753773, 52516125], [1537830, 79881977], [44089798, 55127921], [6786031, 57717402], [44017369, 25689570], [50755138, 53482670], [32590789, 26765338], [67265057, 55168333], [51245961, 49946422], [91387612, 14224872], [37660019, 8287683], [97481821, 35745921], [4534085, 2451146], [16708387, 63568861], [66172592, 89613305], [48745190, 63234794], [40181715, 94741522], [10945964, 41283430], [2041314, 11908020], [83659421, 22790095], [66286252, 29336488], [56604520, 76147372], [63662749, 32692371], [52187285, 41888411], [47335182, 95337650], [87233738, 37956104], [94463345, 81080374], [30072284, 16288834], [41982966, 45289035], [49596263, 60362640], [95302546, 24607694], [82461150, 86331156], [24759759, 4354925], [61106732, 97707586], [54496514, 78421411], [40243575, 42417282], [72622907, 9747775], [22280746, 46291009], [1808154, 3536144], [11759984, 58901285], [15763254, 85921528], [65501910, 80155136], [86454464, 16910079], [5266187, 58997046], [30272707, 83407987], [96779300, 7770505], [21079839, 39916212], [46890307, 35858665], [1048531, 64547191], [7800707, 91631899], [20933042, 76519353], [82389920, 84502091], [75490806, 68888723], [57797815, 39435970], [48952024, 42594702], [27317889, 97942406], [66304376, 22861010], [14538421, 94404516], [68617057, 88807619], [99238069, 47214786], [85248796, 69967490], [97448390, 42494248], [48286254, 91329461], [10282568, 34951922], [21838185, 4151551], [10531497, 6378887], [61650773, 32944827], [89523588, 39590023], [77924715, 47486691], [5454033, 13216484], [62259041, 93432100], [79199721, 17194864], [48454079, 44384860], [42405851, 35173116], [48574779, 62927298], [55452125, 98646308], [46719777, 30479824], [70259156, 28214740], [90087871, 52443300], [78358778, 28723081], [12581794, 78812066], [13705145, 84991632], [35482992, 582234], [48852350, 66483172], [73670173, 27310703], [8894896, 3481220], [35432068, 63699368], [29989509, 44471243], [14536729, 33357288], [8870214, 2302087], [28797029, 70432057], [5741282, 1745656], [43969361, 35998649], [97300934, 32193282], [77094273, 41754583], [18359955, 74439528], [16736825, 16896407], [74432541, 90922061], [37827418, 19401881], [76073085, 38938524], [74763264, 77962379], [22382798, 51745654], [36242253, 15017207], [98870263, 69758052], [46008009, 39250166], [76639906, 61277551], [40389364, 53823778], [80935427, 65989615], [33658226, 98287253], [80250714, 18557033], [96996003, 15891232], [86128601, 51797545], [33856962, 25808625], [9165281, 69410011], [57787011, 8371895], [56332290, 25978687], [88575549, 79443411], [21362321, 34655323], [83838557, 4714549], [16125878, 11208080], [77876830, 70262830], [83903617, 70676270], [53708137, 27036763], [82697004, 93304932], [93927270, 17081871], [29739687, 28984321], [49693815, 211395], [96509937, 98921299], [58283881, 78663603], [61448274, 23372704], [56972731, 23075511], [60253297, 53847356], [4348987, 36725285], [30566450, 12714183], [97976080, 70152558], [23547292, 87324790], [46316929, 86786307], [64205703, 15095148], [64561230, 11629470], [44758131, 8839839], [77153531, 82563440], [62294949, 73510893], [71569853, 15077288], [44974683, 80512150], [19758718, 73682728], [87044285, 28603220], [48690013, 91573101], [69702152, 53183231], [23846986, 68441693], [71561639, 75004042], [47827993, 41697652], [95048043, 60987801], [99771411, 16397438], [67047886, 80023147], [18779477, 98849981], [59679090, 59366431], [22571359, 3864847], [19767042, 20725388], [76127780, 78461615], [16185221, 56157681], [69771857, 17930925], [92744276, 99779455], [95990927, 36468221], [49897913, 18098795], [74386518, 6186852], [99419412, 41890511], [48256082, 28788666], [49789360, 30044171], [56734294, 68387652], [40501236, 88078088], [19817046, 18982634], [20332810, 20704406], [86429520, 89790093], [97920226, 80598485], [82505929, 81316827], [62033943, 88025789], [8234660, 71574596], [90753996, 6906541], [49273662, 44028506], [93679099, 12464644], [58413369, 85866522], [30419297, 33142351], [57404670, 59542282], [45421732, 40695474], [50573555, 35153871], [64017528, 48557988], [19536967, 50638743], [29782953, 83505502], [47693746, 75267415], [9882286, 71555968], [980497, 62340752], [72578001, 56860424], [90795862, 39427191], [80266474, 42915177], [61438857, 88500670], [11792252, 89735024], [59631437, 62605852], [83142546, 29077345], [79286548, 84170298], [31955033, 80168151], [35507460, 53107158], [89484738, 16450138], [67769123, 77088254], [17015800, 82688719], [28114528, 86931152], [97918423, 73942300], [59095888, 71117653], [4864949, 86157679], [16543700, 42956307], [4971781, 36698885], [90528951, 60640553], [10153745, 81932104], [50383037, 16891255], [95110464, 29950004], [13850662, 47083877], [76605753, 61065498], [91298512, 14259908], [27595484, 51881824], [697761, 92385485], [73112824, 49898311], [49503226, 88921920], [2956094, 44719157], [53188876, 73927128], [35527108, 80617803], [37402602, 30745633], [18996628, 91629495], [18362111, 32471761], [98879299, 96225735], [57363512, 80499269], [21981340, 11801707], [88095558, 20381490], [48664860, 51007359], [77528489, 57419103], [18455673, 58249079], [67070648, 9773309], [55329377, 40903507], [57603580, 26855929], [71615763, 19548952], [57888053, 39015992], [72394199, 19594306], [92085877, 79098957], [66131210, 67039383], [80539722, 75424999], [21931829, 7349808], [41909569, 18475458], [95791083, 73986103], [51261406, 98005048], [38702126, 86939888], [74753730, 68804051], [63181301, 71660282], [41975711, 23171557], [80416283, 22035080], [85222849, 2266967], [33964110, 9110229], [93617297, 44905525], [81928336, 28202784], [74645330, 96335599], [14977875, 84578527], [67883075, 59587913], [4761738, 70501128], [160114, 18537298], [70266967, 83680998], [58347216, 2653936], [72058179, 48450], [69003117, 66997954], [48152822, 48864343], [78177107, 73824657], [35908076, 29711963], [33754459, 70279513], [50233334, 62256001], [74069648, 41892906], [75876149, 80353239], [86307772, 12030227], [6891518, 54128155], [69868773, 15159582], [65922641, 29669759], [12899249, 57089201], [53398691, 67393655], [43266889, 94521338], [81169682, 24414768], [30035751, 8882353], [89589549, 26512743], [13777992, 12982102], [81108665, 56888358], [45577309, 62660761], [40488362, 1425585], [69886238, 94375196], [93852692, 11481825], [55354629, 39928754], [95985386, 31373553], [51061046, 11474686], [34502107, 50591412], [55687517, 72798530], [98144601, 56905309], [9669199, 48792282], [83720479, 98922869], [32314434, 52100051], [83888235, 63361729], [63508845, 31077436], [2989530, 15127501], [91854529, 67887689], [73929876, 58414187], [67662445, 74789427], [56613890, 78986782], [83156244, 94445771], [61437049, 80505335], [46570927, 66929082], [28600222, 87225844], [52286072, 55287640], [87947982, 1628181], [90411468, 20560795], [38300016, 77819218], [51093588, 65480225], [4595145, 77188998], [6656233, 20017993], [55352225, 92827055], [96113909, 147846], [87250430, 49603907], [1744828, 50285986], [14639159, 1306049], [15813415, 69329885], [54079965, 75846404], [53545553, 60099878], [88645682, 97902804], [63284154, 11211205], [77560332, 25198984], [42116400, 61081454], [73598600, 98090082], [47559455, 62576136], [29535241, 44177109], [93854601, 9551122], [50973964, 11582956], [48031206, 49562540], [9830463, 79685148], [50354889, 37869067], [54250470, 68574292], [24672942, 65810205], [7389655, 68472417], [85458250, 28668364], [63985817, 45556593], [28304465, 9817651], [42631593, 79642934], [66457736, 2730900], [26704126, 24185569], [95600350, 85192851], [10730169, 70140838], [57735158, 48955548], [38904052, 77741655], [13791926, 21559308], [78886155, 95177132], [72602861, 20420316], [72056269, 88571933], [48239574, 90639060], [34263353, 77698245], [15257064, 16793494], [45209880, 10520728], [44073276, 26141678], [88673983, 37807062], [11793328, 86671812], [81895007, 1460515], [81316911, 44314003], [6250303, 72062341], [92303233, 49976415], [13111223, 52814009], [21095793, 67887515], [67487395, 27430590], [84881010, 3430817], [75176051, 96471315], [10407905, 36975619], [57027474, 8986551], [57528416, 10282040], [5003565, 11301374], [65058792, 40096468], [62433437, 11568864], [27092922, 10607194], [98089860, 27198838], [83094101, 99432802], [89886488, 95310660], [20549285, 23009202], [46981153, 12208602], [53969331, 96485756], [7418241, 96098269], [83030821, 14540123], [41655776, 92928449], [1435898, 54462238], [48548875, 84020663], [9172273, 3757708], [73856846, 33021613], [81841483, 46333220], [23724344, 61737854], [87376492, 17253701], [84818013, 35959837], [25547998, 91725502], [68253449, 71755116], [96996104, 96175306], [97980933, 85551192], [60744969, 45541178], [40453620, 9714488], [11026632, 74668581], [58668053, 35352883], [24679019, 72743754], [14056088, 41752527], [50663380, 23440063], [32097269, 83321785], [46554096, 29260574], [13703044, 71735051], [19210239, 23315125], [29148894, 87495428], [10365253, 57120959], [53344135, 10522248], [55240155, 73976035], [97229710, 60860034], [51834868, 89824179], [36977993, 43475144], [79667211, 2045000], [63514389, 62748604], [65523457, 51433827], [19661697, 31443591], [54300209, 98782539], [91499623, 62339368], [11690245, 98190621], [21733301, 22536473], [17704202, 4015492], [83341736, 62795240], [35373578, 11892555], [88202327, 11156038], [44009663, 52724940], [7327154, 70306142], [35234921, 7608064], [31658398, 93665859], [1877328, 58184952], [5639648, 69315020], [59288287, 24418801], [73838929, 38916491], [69427454, 2243634], [50196787, 15580985], [20481467, 69682427], [1995606, 10167851], [87382062, 93082293], [30915052, 80584312], [41698906, 54940022], [60863845, 22888903], [10899041, 68250521], [59880102, 97086467], [6717562, 51926007], [54290089, 50420315], [18307229, 96372986], [27617015, 82620751], [51176071, 16265661], [22740996, 76340806], [75905909, 2204750], [15689994, 2278446], [90007450, 16035909], [74951200, 92993489], [29188400, 57913414], [27842, 81255151], [37928731, 65706847], [76371890, 38738884], [14426601, 57828045], [95207040, 10537754], [90444460, 97597822], [33523891, 65087712], [88440934, 78090749], [10705896, 93038560], [53559639, 43623150], [23537173, 75596830], [36977907, 63523274], [64597958, 61137898], [92198247, 37109647], [6284374, 38260676], [23476932, 83385501], [45099619, 19085485], [59280808, 75146027], [77558868, 90838488], [18399071, 90484273], [27106391, 82167252], [37211128, 20919945], [20737556, 45287377], [2102271, 99203417], [48524271, 52890626], [52331575, 26882020], [10511542, 82623401], [12742641, 57989266], [27279411, 98121591], [85038923, 59723186], [42022051, 89534614], [7043470, 44658918], [66815049, 71534661], [1362604, 95008378], [65446639, 20666010], [48019170, 98178996], [67549851, 68132501], [99925920, 26048828], [84435894, 63460327], [98547300, 47931407], [24857707, 83016300], [21267216, 71544089], [39511282, 5517566], [19818837, 41369282], [52021524, 29473787], [28488908, 4109009], [49566285, 40141887], [93194582, 4738102], [5601621, 15742099], [890925, 61413646], [88089089, 30345984], [78447452, 21100014], [46105443, 86536185], [64391452, 64818714], [53119874, 91693075], [40155714, 96531008], [25473895, 27319137], [97771063, 24431111], [1449265, 27537446], [26774703, 87949329], [63913276, 78114299], [31229865, 23309697], [32263027, 84377375], [84647380, 90717802], [29813253, 50743383], [47634990, 31834457], [70278425, 84070858], [59274645, 5716097], [68809419, 45584168], [88319120, 80265722], [90597533, 63273079], [64854436, 56547502], [18292012, 4110011], [49631022, 48321662], [57294846, 45552977], [69267141, 33276200], [17637975, 452260], [17690747, 80241505], [35826650, 48505157], [49470967, 34241645], [65285361, 51745301], [98516427, 1048432], [94401998, 10464220], [86792023, 53360487], [69990045, 7616517], [51024152, 63746675], [69027666, 94553163], [27120436, 37148673], [67037302, 35081249], [74134320, 37794570], [91028190, 8062874], [23814388, 52306715], [22374074, 38219224], [29862615, 62647462], [44392210, 16684941], [23289262, 86314446], [99660910, 44787617], [11720285, 1523642], [23329883, 88205321], [36472594, 1228685], [29713108, 6325188], [61377473, 74115561], [57796848, 52771237], [38588045, 31355504], [55059234, 16831225], [60643958, 18881404], [49400654, 48649355], [85382694, 92469499], [22468604, 37105530], [96287372, 24727875], [70535594, 1727992], [59554153, 8694459], [70090949, 35733799], [20976412, 54074582], [43120126, 44549397], [92415391, 14445400], [38482255, 47658822], [8426192, 76615403], [3453396, 67895951], [28007610, 27617644], [35850186, 62849136], [38760051, 77407972], [96757269, 50239507], [69947444, 77051782], [81894279, 50966436], [58498451, 29239909], [91081071, 84130965], [52312723, 31610971], [23183203, 54035656], [6898021, 20431664], [13554410, 49021278], [27167487, 10906869], [90006852, 25670415], [45431125, 85830586], [80322216, 83365603], [82044674, 7570386], [4949696, 46255218], [68556549, 96964730], [14565060, 44635882], [71719086, 60691645], [9642395, 7183257], [93704615, 73986121], [18491189, 60218910], [93360404, 49806330], [21359809, 34385920], [95441482, 17780697], [90717773, 71634139], [50712228, 27027503], [37691985, 8523876], [89863172, 17570047], [62956542, 40114856], [70709413, 81911836], [73546665, 15314517], [90099648, 69027654], [40500209, 53715996], [75760342, 37432524], [82569243, 93990472], [91915336, 21832827], [23132014, 22427989], [39741225, 93070219], [31699361, 6655837], [62853295, 3264381], [20057644, 21777762], [18261997, 27401216], [92728617, 22378621], [61924378, 95432289], [17915754, 2198892], [72347608, 77057423], [93087050, 11723187], [62388079, 9513305], [57163721, 27496758], [92479137, 17195750], [85726859, 86052338], [44751630, 23040732], [55760271, 99052326], [78056867, 27111723], [2820251, 52467047], [72587586, 45117940], [61659938, 29056994], [46097056, 71812978], [7151592, 37757987], [12756213, 16174227], [59530566, 39914225], [4986047, 68877087], [1526865, 91658800], [31795158, 93808094], [41361019, 95891027], [30098509, 77385916], [61719917, 2469752], [38739930, 30508587], [34201191, 5807799], [92349795, 77241961], [34086229, 18823038], [79373964, 39848914], [69742417, 55373819], [24603153, 77738184], [95555167, 28682092], [54583635, 73042530], [58585592, 53940435], [31221983, 85265842], [32105307, 72133874], [11245738, 76159532], [21737201, 16150689], [13539188, 92249612], [95716637, 54093458], [7065959, 47393330], [96957241, 32685169], [596987, 51721877], [72464474, 95843621], [85286811, 40933836], [92871101, 53811546], [98748083, 69077608], [88435637, 62118786], [10685969, 34524435], [9012803, 45088045], [61402743, 88317944], [38700861, 68156388], [37552161, 87862934], [81676193, 76126414], [75314686, 90029811], [58831227, 7642816], [39716142, 81698820], [31120385, 39038291], [51501548, 99995751], [25578495, 79189562], [94294997, 62844495], [29730804, 26957253], [55468950, 33619134], [12638025, 77735313], [39782323, 2497546], [15751777, 20460606], [65309460, 39037911], [19451287, 3419907], [94483045, 42112265], [83324221, 85634848], [72107850, 79181564], [22208048, 46222427], [29613929, 77129390], [6046895, 30039037], [61836009, 35224593], [79730030, 88283006], [54056618, 82408388], [81403933, 59113817], [28209105, 44962767], [62961220, 86763293], [45749622, 95999265], [75169467, 54162630], [17597005, 79476194], [73915119, 43585420], [87507003, 33329817], [67555687, 17683383], [70499825, 75551265], [73533290, 3259673], [36863815, 10418048], [52763047, 50338205], [81316975, 34060005], [42404347, 78130965], [73529405, 22204596], [72099700, 90728561], [1093064, 39127728], [30649600, 47877793], [82045594, 76480095], [6338008, 44259130], [85956445, 43472808], [53980723, 72430762], [98644132, 22844728], [31305283, 70651684], [20833642, 82337353], [9831543, 65774509], [90878756, 93047154], [21682297, 29011598], [59379344, 69113985], [50174006, 17436110], [26008, 13662573], [97688417, 41087210], [40910188, 7892235], [43459727, 69968582], [36960784, 25380058], [15540423, 1455264], [96540283, 70365260], [31120445, 98377696], [47830802, 50958973], [40270897, 34415642], [84601849, 97947874], [63964228, 92913074], [83384815, 49232774], [80470469, 91806463], [78335397, 13450230], [43256867, 48651880], [60920782, 99604900], [2024458, 23250647], [46093059, 70981957], [51638809, 24737930], [71358521, 2029477], [59137104, 9647106], [57449865, 50214654], [52696901, 96506120], [43759431, 28069571], [12346336, 99270165], [23898430, 31290811], [87115702, 44701188], [57864758, 17890336], [29278124, 13891475], [65865913, 92824944], [46840240, 39028120], [92787505, 62067851], [99996502, 84870239], [89562821, 99050882], [9865218, 48626289], [68664657, 64549092], [61236938, 30592836], [40798025, 29446672], [2879373, 9167228], [87856376, 68929259], [94560029, 50368888], [21128946, 62591081], [51432722, 19790944], [58459578, 20123579], [56707436, 81684629], [60676579, 11792085], [14445893, 19579459], [12935566, 44825398], [5374643, 50387311], [29364149, 5225248], [83294838, 32903435], [5045327, 66856199], [48618030, 83500992], [59977079, 65309361], [8328870, 50432795], [23528874, 97694740], [16597755, 21477930], [96262671, 26288841], [78080561, 20789509], [10456252, 98219539], [39559558, 62088842], [9220629, 79555978], [92441771, 11249295], [67131256, 96702656], [51583162, 50055828], [86098328, 51169090], [8761736, 85374277], [3149455, 66789599], [98583011, 68704408], [52859854, 66182622], [56397509, 30712107], [49126808, 61530444], [26055648, 80955361], [59676526, 45347678], [36073844, 68765113], [50582821, 59223429], [33074127, 17421258], [26942355, 66993785], [70117687, 46325311], [57304608, 61162243], [27454224, 25121749], [68435748, 88594626], [81524085, 76868570], [12529532, 74621201], [26749755, 94052225], [93341505, 44852507], [38549405, 70196919], [77733470, 46072960], [8807262, 48964181], [165043, 39041653], [20775749, 26913763], [73877080, 14921525], [81210831, 18711946], [38919938, 11042563], [49608165, 55914402], [39463353, 78585601], [32277347, 79582518], [898460, 99800606], [24839345, 65187376], [81790874, 31766826], [44461290, 77645424], [97125511, 13764379], [49678795, 90782978], [77931443, 90202936], [87679223, 25984560], [26291198, 60480925], [93193616, 5712568], [91319702, 69635076], [43924079, 38689984], [94089438, 31857243], [99900706, 62809504], [98766134, 36781420], [71309110, 55694477], [73374570, 55248952], [58987978, 76718022], [42874549, 6008004], [22903700, 26484846], [91461410, 64336231], [64924415, 76617951], [16810059, 4578001], [44632801, 42137185], [55536073, 25721306], [65848683, 22195258], [6071231, 88686696], [39274818, 34771086], [19960550, 26982967], [96747712, 54464099], [50730578, 94284160], [62400785, 47705544], [33225602, 85270871], [20332375, 71684648], [74595305, 3818576], [65243483, 6103152], [71870258, 69674490], [33772903, 45958386], [31114559, 40612442], [28871674, 82031399], [26457080, 60126550], [7894658, 2488113], [13927506, 95624251], [4950292, 62325107], [55629033, 39786989], [50895704, 99460659], [79476639, 23148928], [52665843, 44570585], [74850158, 18610167], [31888801, 30279820], [72161439, 81666679], [66661551, 97511306], [72832738, 27687606], [24860132, 80696528], [35890282, 24845158], [81846, 39783301], [90759490, 84546003], [42120580, 25868841], [11906730, 22555864], [38512529, 67844446], [29562900, 56822076], [79899631, 66149124], [52980993, 6212341], [27754044, 28928388], [17711512, 69318321], [39681181, 27895110], [86600458, 51299396], [31833078, 83213376], [69703566, 448444], [60244392, 50963189], [93044074, 35203311], [97145129, 81244039], [71262879, 78454972], [13130899, 5678672], [88018980, 99280055], [21114718, 89052792], [11424182, 33260224], [52935740, 84620277], [75503314, 34747818], [2773754, 33503262], [79318731, 46589490], [33634240, 2905506], [40182972, 8273568], [62652356, 88282170], [46834441, 95499967], [32101802, 59396499], [32418949, 78738096], [62144023, 12944221], [20553528, 20475354], [61520694, 33012076], [60505785, 17203869], [8067049, 66941430], [85885688, 20348698], [15024516, 52974248], [81919049, 77349731], [48906612, 5960141], [58595794, 42849711], [83929878, 33934684], [72932647, 26031488], [84341225, 64325362], [21195820, 95323916], [25026290, 22810488], [31200891, 89906032], [7497143, 39460177], [98863573, 25491138], [37874055, 2787671], [86120079, 16388436], [22427609, 23587872], [65045919, 35467296], [68286098, 4863727], [50109633, 8005258], [45925878, 21435544], [82852320, 68488174], [40019218, 7111156], [84746849, 66389378], [11175938, 68044198], [62545390, 12711494], [28549968, 45627765], [5971379, 82924882], [33209752, 85590638], [96674278, 29527653], [50071008, 2317226], [27826616, 50092820], [29553161, 82788442], [62093819, 47286917], [42220375, 73686085], [19824114, 99775900], [73655040, 64713558], [49797396, 17942328], [12309209, 1997596], [63204601, 82392258], [79832442, 74257835], [78920998, 82267331], [72340527, 14515023], [55115240, 6705177], [44931737, 25846299], [13715191, 49120449], [50051729, 90744288], [25604598, 60733587], [91939763, 92880021], [15200432, 90498312], [60218170, 6934316], [18185841, 95753525], [9098379, 45434281], [76331473, 73731611], [18007013, 84864189], [89239889, 57145751], [88677587, 1160605], [28491048, 99482494], [39483715, 12116908], [71786409, 46347132], [80574745, 5236593], [91912578, 34402033], [91444511, 42118307], [37112803, 4941813], [81469240, 33976149], [90874441, 95270986], [25303674, 62405510], [72239705, 68361490], [73999529, 89529034], [77279653, 77018319], [7221915, 6175301], [40627314, 94589358], [12823493, 83068227], [65259456, 63568307], [34966432, 61895677], [77575702, 57293994], [56351719, 16531548], [71128879, 47036022], [57487588, 97696099], [49494460, 53313150], [59313430, 11223930], [52173004, 44648104], [39672156, 37336044], [58263615, 67074972], [22438875, 76211677], [64220222, 9144633], [50354648, 88136776], [10918004, 3090531], [67703639, 54940741], [59551763, 55109815], [80904695, 3138657], [81131069, 8984496], [33666843, 23471216], [81649260, 82524848], [10480523, 76222979], [50675336, 70345990], [72582556, 43616958], [84419199, 96625977], [14406802, 3063889], [3319076, 11044819], [22428888, 86334981], [33953821, 28150193], [69493259, 96847016], [79827807, 59077159], [89141946, 60851635], [7376653, 64707000], [51054374, 98430353], [57815883, 61679986], [90608180, 69196275], [11289293, 15764746], [5230914, 8841821], [90754796, 77325454], [33554904, 35364292], [10474219, 73182114], [65023027, 2925439], [35346977, 62879879], [54633632, 17627947], [21360693, 74257736], [78365820, 76199857], [59375838, 81825668], [29328767, 97070975], [63579419, 19506949], [47731261, 42669271], [37787218, 32693710], [47646242, 86194744], [14858473, 51387817], [7242995, 43413372], [9421761, 93125643], [71799108, 30741075], [18201262, 72654784], [67018968, 52847624], [73778849, 96824345], [75938001, 89086817], [10126971, 38002670], [66854484, 3627353], [27573282, 54213154], [86181766, 48799059], [11046938, 41499158], [85468727, 92597634], [45597628, 84334277], [54395392, 6616885], [9199291, 63433333], [10176024, 1813027], [7515063, 32273126], [84529380, 63398762], [3090126, 31220196], [88383212, 69256044], [47813859, 4436493], [71649873, 22090611], [76752131, 51376958], [14558579, 29019572], [14215984, 36624576], [29156800, 58282921], [51716545, 68090963], [17291133, 30745491], [6804874, 78028874], [49606883, 38687495], [13155450, 11268756], [83629615, 9237072], [48304149, 1080944], [42597150, 88836009], [84427814, 72501358], [99113199, 66574298], [84030840, 26012181], [2668808, 5789918], [48705708, 99588394], [41679364, 26341434], [78186342, 45967534], [45294592, 11621360], [88953370, 32173272], [94835300, 53290835], [26700834, 94805928], [60289131, 41056493], [39446246, 31095483], [85987972, 48732277], [38707098, 85219458], [94865910, 6933066], [58569598, 99845529], [44858502, 60225623], [97502259, 28750969], [84747811, 81914099], [21692156, 36515152], [87609821, 94836198], [37273167, 84101491], [48434657, 33082277], [64325481, 90128870], [76962289, 73601551], [17545547, 82851769], [86473351, 21289965], [90470830, 10005851], [23158878, 17033993], [44602424, 53395845], [44243202, 77347950], [68516594, 79287339], [27810492, 81069718], [90162757, 30098908], [66194493, 12636258], [28384930, 87650347], [43714693, 39340173], [91168662, 76060024], [84298878, 55947552], [89314472, 18816713], [40962593, 63057447], [8483620, 79620264], [44591286, 15153427], [72693606, 62799222], [48163921, 42730555], [82910234, 31635907], [12924917, 15258296], [51861416, 81984842], [86438721, 53274180], [10528790, 53636468], [49819861, 19915872], [49508524, 70050030], [85167872, 57301362], [17476079, 4572411], [94970184, 62621039], [65964374, 95110426], [85042060, 97648146], [87709803, 111675], [89922960, 80590580], [15921428, 69249445], [33519028, 73735622], [96199999, 43140367], [63267518, 31404847], [50685772, 99558790], [51186024, 9862824], [91460262, 78854434], [58822608, 38437057], [68579119, 11449572], [52180935, 4927185], [25196141, 46531471], [52773787, 438360], [94309343, 94242616], [47868727, 10758421], [48716829, 52449467], [61172558, 9542025], [78657601, 58265241], [15716731, 72506234], [44542831, 20587020], [94227920, 68328927], [48674648, 43085206], [88170908, 90237378], [39794055, 47096437], [10538745, 80584781], [79477273, 85863907], [56991408, 1575226], [10343098, 77029395], [61831279, 22784618], [18930508, 41364901], [12388615, 14414576], [75413584, 63484713], [10803238, 74974479], [88760928, 9707236], [16809890, 24296336], [12942428, 34056136], [99675357, 22659198], [75065272, 86717906], [97843627, 43204453], [14952254, 77393704], [70083450, 3969347], [48955947, 87361749], [64849526, 21877321], [19051340, 57474907], [22229407, 3911187], [42084640, 24278873], [35829409, 88322930], [11577585, 2084397], [15669521, 71937122], [84800200, 51247971], [78818961, 40937048], [86925312, 83047942], [20291493, 14653690], [75353934, 47317596], [24888251, 24277708], [11571933, 78719741], [15887793, 1506444], [24703538, 10098983], [62440902, 3096471], [786986, 9377725], [88778202, 21615371], [7340550, 39509118], [46295953, 26970514], [64555092, 61112968], [48857878, 59656880], [13962826, 5141094], [54634700, 31189660], [28274729, 48789879], [5092456, 10171339], [32047729, 27097613], [67996724, 55334443], [22119535, 147005], [89347689, 39362871], [29137778, 53035433], [44084315, 71172028], [39324756, 98017125], [87972932, 31588096], [61047244, 28966511], [56941421, 9552259], [59843704, 75077299], [38398023, 10142085], [89497630, 95554269], [11605781, 76768762], [61525595, 84044958], [59751186, 65055351], [45886224, 81825070], [18922532, 56496300], [7714495, 65113453], [42601566, 38090727], [74734073, 54710396], [48286454, 59630336], [7200694, 74247003], [51934933, 4785146], [24299267, 42262641], [18185693, 26479142], [56767319, 6692185], [78663609, 47593196], [21497724, 84236150], [99328165, 69792152], [52292406, 32246710], [18190283, 3405804], [19383205, 46296475], [55755262, 1177128], [26756622, 92752536], [35921588, 25125279], [45592879, 12503406], [40219025, 34002394], [77983893, 50951535], [76815983, 17780935], [69755485, 88007958], [83410860, 82887163], [53634940, 78595458], [98803800, 38102168], [98592594, 69527442], [59704528, 94208441], [35662502, 31139595], [76709798, 58803429], [46746040, 60426272], [36841840, 87244922], [40669084, 5220673], [71390866, 20007510], [36657649, 6364863], [97983709, 92413347], [99540745, 30524754], [38627869, 96163996], [42697625, 76650803], [53801646, 77129560], [44235990, 82976516], [3190380, 62761923], [29833429, 49119404], [36124624, 31706728], [70442501, 58188075], [51158317, 30721330], [71340717, 2683726], [40301303, 7849049], [88971748, 585505], [49704991, 73955621], [20319166, 58659032], [19771736, 75931974], [39703284, 46030046], [61186018, 95393243], [45522286, 42025549], [40365720, 42137211], [1016728, 72831854], [74043657, 80318518], [88755948, 82566428], [37506543, 76707157], [46335180, 51210469], [40578641, 11095920], [81988436, 73462091], [52858198, 48036178], [42253886, 58613328], [46039364, 79596637], [49981640, 6925076], [36710332, 34607844], [35495783, 34245643], [3853495, 56433646], [88922111, 8365073], [90403439, 78223062], [95150380, 85090133], [97893960, 41057775], [3061746, 6422321], [47647798, 76076223], [51905744, 62491537], [29194266, 11118922], [78620646, 8862429], [15100524, 83822945], [52142836, 41692401], [40725177, 86693173], [77771298, 31935987], [285270, 73928143], [81915624, 31015990], [28615062, 52163589], [83784753, 69730037], [28058622, 45068530], [12003859, 25391816], [12482591, 21021248], [77436643, 2773835], [57319602, 16241415], [40521684, 39960659], [85711989, 14262075], [18150886, 86291340], [59965225, 15473146], [7153950, 77798686], [71534561, 90171917], [47270172, 23604287], [74503854, 10494593], [82700690, 31645841], [88100103, 8843816], [26538732, 16908673], [87188080, 66129503], [43480666, 45034582], [61768962, 61145474], [21366226, 36321849], [49886417, 33599506], [44817756, 55476088], [45122148, 10143238], [31727009, 8565679], [17706467, 71125924], [96169795, 90282458], [27672844, 64619878], [53954605, 56130346], [70909811, 64427703], [8538209, 43577409], [52904663, 59484630], [67105856, 23523672], [75729794, 13160160], [25888887, 89776027], [29789477, 63116410], [38050160, 76510529], [31477872, 77693920], [93169856, 97134548], [38858628, 36465077], [36819578, 80147961], [553059, 15980628], [36858291, 29583199], [968841, 40363926], [12137066, 72448706], [45054932, 90133844], [22789756, 7911152], [12451856, 10295059], [25958471, 93363282], [81887909, 70573501], [70427341, 22562526], [48766693, 44708343], [99176219, 91169522], [13469583, 7903249], [58028971, 77044286], [38166952, 90185492], [67818891, 30581266], [43017469, 3542351], [16063764, 13870355], [57652236, 86777004], [61907163, 50593666], [30749703, 86676881], [46451652, 9303950], [57374982, 69598461], [18378434, 9684363], [56551875, 28117119], [14848934, 3868550], [89452800, 90390362], [74699390, 653277], [32628844, 5119212], [99665132, 46003891], [94057830, 88482047], [84975775, 71921065], [61783750, 33392343], [27385603, 42445723], [74095223, 29604526], [58739312, 71537702], [30603410, 31841315], [77607875, 32500510], [87649005, 91790371], [11608096, 84508233], [5809676, 95503812], [11657625, 30754279], [23916750, 19659327], [98393383, 38116948], [94056333, 40221886], [41868160, 6016495], [26988751, 24415639], [33640708, 65907484], [18469825, 42961871], [96185387, 61413537], [93084699, 23268417], [98163040, 35799348], [3737746, 43930900], [82654123, 19065360], [41714920, 32093231], [6348182, 55308237], [11806391, 96800034], [96926851, 44542840], [52939050, 97502551], [22330659, 77138286], [74671214, 77455591], [49355436, 66146218], [55290088, 54869875], [82295785, 66518739], [99323009, 37004933], [99626657, 58233437], [24623383, 58014971], [68660933, 13682017], [82970767, 2876465], [56905965, 81638073], [37558475, 95903193], [95512538, 99883072], [9354478, 71535016], [63205438, 40276767], [68482262, 63498498], [36594608, 40476778], [14102311, 64405440], [43629417, 42402762], [35634996, 11039128], [88645543, 72098868], [14528024, 71442932], [49349417, 15830248], [44737714, 16588761], [4169630, 12508605], [51757693, 77880349], [67171676, 47033826], [65479065, 87872677], [97162745, 93041068], [75192482, 64874019], [46192807, 76057079], [74218830, 94012835], [26299500, 47660654], [25855810, 73239786], [36099403, 64987402], [85375018, 73073261], [59551864, 56512672], [86798149, 1995816], [77868287, 4802311], [98506738, 34289181], [37549518, 33100107], [6464542, 81454710], [55587681, 4578862], [22466374, 27020313], [24854540, 96984603], [44354259, 97528640], [3794459, 94012162], [36849350, 4679038], [57459859, 56402012], [44557439, 76637521], [52059618, 81861094], [83032231, 85159623], [81001963, 14130184], [59128206, 10959537], [85795334, 95007644], [47968237, 38814812], [79739492, 48787252], [43378639, 47619802], [66990589, 80209998], [5509841, 6878749], [87622141, 72174061], [99721680, 32313860], [61912712, 52720041], [5336911, 44442357], [57577588, 46922716], [59779739, 81507145], [68178605, 59053009], [32480323, 47903482], [27360441, 38369712], [28540469, 43005846], [58587551, 35293014], [33122086, 56656186], [51656312, 44857593], [35317238, 36993915], [69190226, 41005412], [63228327, 51237312], [2467080, 49671236], [54290579, 67154860], [52038049, 36763840], [34206260, 53441710], [60825332, 68588349], [99520053, 13908039], [37834239, 9171764], [85277410, 64538410], [45658009, 83218173], [14881191, 96414522], [67203293, 94032645], [24278528, 3031388], [93845036, 95844689], [19826417, 50389321], [52454415, 80993059], [52783357, 70373057], [12015996, 15243324], [1099677, 66160178], [33232505, 33152951], [1580698, 20205673], [14019417, 68748027], [77587023, 61096022], [50774372, 44647903], [3142634, 63450728], [38253641, 30274633], [73608047, 97732148], [51342754, 60358792], [75343347, 98442053], [64434659, 50646161], [25038261, 94599024], [15453830, 87307334], [40304744, 80545805], [22844998, 98553609], [42158055, 41403651], [60913200, 34399150], [48998944, 91984623], [67399474, 59578523], [65827479, 31411632], [5476959, 85023559], [13971513, 95535677], [66856836, 47818780], [4480873, 67213416], [52591447, 27668972], [46585120, 7092232], [89420201, 67103665], [26486990, 15665699], [38260981, 64444070], [66880935, 34748853], [85817751, 9072482], [55737906, 28520305], [57409938, 23510425], [15685212, 71671960], [70032121, 30186424], [87243460, 51123810], [40259380, 3196275], [78380006, 51576239], [8361890, 93537970], [16981490, 47819513], [95819239, 14287940], [17403145, 26225141], [45208371, 62895776], [13588759, 20739644], [71581719, 46930507], [79181357, 15811219], [41376760, 43634999], [28801518, 18992357], [72640322, 87590629], [25224237, 44302976], [1648518, 96238308], [58165809, 73013597], [9871063, 71647689], [42426973, 48474224], [43614886, 58300213], [93096084, 9945937], [35343088, 45145596], [59249831, 86386563], [20892852, 9519246], [31807106, 8054527], [78715609, 88585597], [81299545, 58791081], [8243627, 61818674], [90021377, 53847855], [50980196, 55802261], [89810298, 17219381], [45832487, 25184075], [45189312, 5697563], [93815365, 15967947], [47458379, 99532558], [99105172, 64968411], [29607947, 38221671], [36660769, 71308963], [95736474, 63603763], [45523593, 77647294], [29181670, 82678267], [16702235, 55729571], [85615642, 13869234], [54657969, 11960079], [78608618, 17162104], [75098767, 32908668], [26830781, 14769820], [81014839, 77188770], [62256868, 86364012], [14203274, 50161570], [1825961, 59978140], [75185302, 36962632], [97508888, 41314878], [69595396, 26106483], [18663895, 2182378], [36571137, 46155298], [3016629, 34990060], [18241633, 95953593], [58854400, 85871922], [27319656, 50104904], [73277149, 1444506], [22381636, 85946368], [76436466, 4760634], [65635296, 10893839], [5974095, 25480350], [50568879, 72450027], [97023403, 7707193], [56574879, 42670859], [60494740, 48243309], [33624703, 73594587], [31185487, 92999793], [1582718, 63845280], [84155440, 55117417], [76572210, 92011627], [11523801, 30192475], [45248960, 11525777], [55500572, 10555435], [44592053, 7229122], [20535241, 46824291], [25392939, 34006666], [48853218, 95195803], [20691609, 65571768], [89845322, 2431995], [99054571, 90536807], [80241015, 78711294], [68234384, 40253598], [9723936, 11231716], [34650326, 65587140], [55920595, 25174747], [31237367, 47884107], [31859841, 89694766], [52278770, 66394946], [29213660, 29167357], [43933041, 25204532], [69824495, 39603028], [85536563, 72160079], [22594429, 72405499], [51043817, 84859929], [5294095, 29279407], [38315885, 89491722], [25785560, 60803240], [40775559, 14449655], [29760517, 59231032], [29594903, 51645446], [90835618, 20708188], [53800640, 9175547], [8551915, 25752831], [52416509, 71702204], [69507875, 2955927], [43220709, 1250778], [41974140, 54269597], [95343008, 31018345], [64701945, 7916405], [20697401, 39527792], [7446767, 86075062], [55593615, 33628181], [46696824, 81031789], [6380928, 63376480], [8725407, 87385085], [54209730, 34873296], [6858879, 88134098], [71709892, 74568847], [98866535, 35250912], [78942281, 84771534], [56377637, 63120770], [49326845, 46148409], [47082758, 1474406], [52470520, 36960061], [91201711, 46736286], [51426317, 84971392], [81821107, 99584568], [117856, 64810137], [4320832, 26340932], [96921761, 44559168], [95075824, 13705205], [22878978, 79107044], [80579156, 27475796], [59892796, 19781289], [51375610, 43220057], [99472042, 17330583], [95829788, 59580805], [85866128, 85853070], [29162584, 87072049], [75138551, 15050613], [4975455, 50487198], [59987956, 4039643], [41714481, 73604452], [69648384, 51053257], [42014757, 26142995], [65045845, 22973353], [19357456, 27646669], [72856007, 31179066], [73275052, 29551124], [96871611, 2496306], [55748070, 51449323], [17576806, 26108067], [22278271, 25922869], [66843741, 63099249], [85952041, 90642177], [4583826, 32735759], [74430175, 65266833], [15932121, 8224111], [8912668, 46781961], [82622232, 35330621], [95989523, 8647302], [61165787, 73178342], [64503639, 77769399], [44301717, 72933657], [86277608, 37932643], [89365094, 86012646], [8062899, 71759001], [82549419, 10029905], [40650872, 81076184], [41949809, 53262846], [20531366, 93868529], [85330049, 68552006], [38750221, 23034803], [26001303, 53040357], [91253284, 19038382], [86356619, 11278269], [36680973, 98965615], [43852519, 1714741], [31998965, 95233583], [66449504, 12542564], [49028301, 801154], [16217070, 98631532], [19075277, 95104941], [58331352, 18645668], [75012229, 7505132], [50906197, 88458072], [43669394, 65702641], [30118800, 75280787], [57712298, 8695021], [25029673, 71269682], [87499997, 153861], [62217984, 35230221], [90611463, 46392313], [66126676, 35474274], [56423961, 13335616], [13025621, 33370476], [59384278, 87101628], [40379400, 76229650], [15171743, 62349823], [74452222, 32086740], [88296066, 3206025], [41615148, 48176376], [80037498, 36000170], [30197196, 70171757], [22708535, 25250100], [23765731, 73888001], [14519197, 75691545], [74964696, 72809999], [5400601, 88057612], [91326451, 60554897], [22772643, 44235171], [94570748, 92433771], [48130665, 41687439], [91793771, 64215635], [39605334, 48015014], [49581013, 6851529], [94652802, 98095023], [92146571, 37807476], [84709858, 42899573], [88671688, 21353953], [24364682, 87436296], [40389044, 43701062], [66492868, 39982754], [80402207, 63734495], [23689986, 31852014], [22468315, 98911098], [72273384, 72029661], [64186510, 74632637], [71034360, 41885893], [29550035, 44802892], [71379146, 50339819], [92419160, 79468749], [79640816, 61176226], [69218685, 12711005], [87918873, 43756767], [25163074, 14217511], [58010754, 98476535], [34474556, 1258018], [25318611, 26480753], [82178895, 55821652], [51213568, 59513781], [71208520, 53433362], [65035918, 96154681], [48712998, 31823870], [13565118, 81461791], [19454568, 26320652], [19260681, 82555169], [19730594, 72996976], [7329407, 58493979], [45591080, 59050669], [22258370, 86055228], [91010773, 17032009], [76120982, 5107046], [36312460, 86777792], [25113751, 83019589], [92452273, 27610328], [18705812, 51850963], [2559525, 70627713], [67781261, 80082476], [90066446, 8381258], [50509194, 78318756], [17327225, 6989487], [2475914, 84910418], [22148027, 425687], [81189234, 78004318], [21878339, 5506279], [28608163, 89835771], [48032675, 73291098], [13679555, 26933523], [33562934, 30923211], [37129434, 31932633], [9357938, 5569036], [39789840, 47863461], [90193816, 73554215], [81921186, 7747587], [7329380, 78690900], [61595347, 6958964], [5560612, 54587032], [81995146, 41014609], [41238250, 26478130], [81199371, 89458950], [22717285, 95935261], [45418493, 94729252], [96452793, 23058903], [68914651, 30137079], [9645237, 4542752], [89807805, 84088368], [36359764, 60546759], [60733416, 3936088], [83100544, 20976049], [84749455, 98327262], [57990417, 68050640], [85253701, 95323117], [39616656, 96244482], [96298126, 55910041], [97472738, 64881623], [25428525, 19881233], [60766887, 74310690], [34230960, 14192528], [90922767, 15641721], [44219045, 12287979], [90518266, 8350109], [82004265, 24887619], [79845096, 18985217], [81143721, 5401261], [44441203, 35654463], [85084200, 64401346], [86072337, 77883507], [26456230, 80660359], [97257611, 31917457], [11905618, 36780985], [87443216, 80206740], [30050716, 54598297], [47195711, 36194461], [31310937, 54600577], [17443601, 31453853], [12931751, 11543251], [83990921, 79899142], [42228046, 31058198], [8881060, 9016860], [3992618, 13213149], [5129293, 91489166], [51184617, 61286475], [56013548, 64639625], [2024617, 22616266], [37884716, 75245289], [79375891, 8782684], [48303704, 30163151], [90382865, 48657377], [69198898, 26417431], [68901484, 54834535], [92845411, 59756715], [75773350, 43898218], [61598385, 17188725], [1263205, 55809703], [85631238, 88057335], [77188905, 35313014], [56608297, 18447498], [80775906, 82013762], [58134016, 88543597], [57200805, 52858306], [67165235, 97957731], [27114168, 13393201], [38352891, 63282600], [39467489, 35194851], [48987897, 12723532], [16308442, 75668518], [4132490, 90573273], [3167669, 76453284], [69826859, 72924827], [63405491, 55858538], [64405362, 82407305], [95619343, 46228203], [95948351, 2361572], [72050779, 73059547], [7011231, 54976393], [87840131, 73800424], [28268285, 38523837], [76402163, 99049202], [99071063, 46747459], [93465060, 36915671], [95402056, 39411295], [21000716, 39262106], [72471256, 20998849], [39344971, 6945448], [49271708, 82278036], [83383067, 76342719], [11840692, 3049726], [63425030, 17284671], [43880957, 23973517], [42783680, 20668253], [65672772, 65567178], [29132426, 24510677], [84407664, 66059814], [31368263, 79192856], [93483830, 89948525], [22550017, 88505867], [34761166, 62530854], [4392040, 96228637], [48616940, 78220296], [94100896, 54606061], [53524942, 26159711], [41397398, 86455438], [93418709, 29686375], [70586301, 56250975], [55427759, 2344776], [76040164, 97332161], [53987430, 48188859], [41183078, 52445706], [58347734, 47213116], [81067487, 20036150], [4819234, 38031098], [58676270, 76497126], [36595938, 96688803], [64645676, 39715242], [5653868, 14815140], [71684212, 8989265], [24841499, 21404960], [14846289, 63187012], [80632262, 60517179], [16193941, 91896891], [61586266, 57173735], [59744282, 63156318], [25106761, 81523828], [99009564, 48377227], [66621311, 44915435], [22495731, 10655016], [77063841, 27954212], [33550475, 64998388], [53042895, 1569615], [83133874, 70888884], [76224193, 39830653], [4776097, 71589016], [49025957, 6010845], [85558357, 10998771], [45225796, 66153541], [46329407, 69108806], [35444430, 21633627], [37451216, 57014361], [89956514, 66296621], [78395311, 14630280], [23650821, 41525542], [21817666, 51701578], [74228494, 61406187], [42889594, 84858904], [80393367, 60901928], [52406470, 23624302], [29860809, 85489446], [81926657, 90108773], [51489904, 31568626], [6144904, 79148913], [68419859, 52346570], [9579685, 8279591], [28081253, 64758954], [34617168, 24522619], [82862537, 1556993], [70459160, 47940778], [86310898, 47637062], [97708215, 8124423], [91791693, 66798350], [51856063, 61820475], [13862849, 23558062], [91136936, 72516768], [57393939, 40915157], [80503813, 64610335], [75490280, 71175707], [82401627, 92415011], [45368711, 29973777], [91029101, 70231561], [29261044, 93089888], [43505363, 42367543], [19629390, 89480447], [93802080, 96202354], [69737744, 34523864], [30633275, 82614009], [56448723, 90925899], [67256634, 45154447], [17660269, 17132547], [84365595, 99548987], [7647867, 80898335], [72810451, 88224851], [1870629, 41105335], [385577, 65600168], [98888337, 91694324], [53648248, 56440194], [38298133, 16662390], [58682365, 87039895], [66258824, 32712881], [46652223, 34416108], [35077701, 49333337], [20948509, 79711175], [84881382, 2363929], [17758179, 21094768], [38179254, 90647879], [38169503, 68129287], [88470251, 76885466], [87829791, 28359555], [46048184, 98455918], [98425222, 46471175], [62010147, 62790477], [49745800, 53811572], [1814557, 4187478], [12287750, 48374346], [63707327, 61713269], [80284100, 69757231], [63594973, 3000719], [67586581, 43581884], [81512459, 54126881], [14405910, 66494058], [9222166, 52227553], [36327999, 24923608], [35951185, 91802073], [58540246, 97171656], [42222408, 15530652], [55745494, 33424654], [42073056, 578954], [12404168, 6063431], [47003178, 17161850], [45548122, 13504218], [70058762, 56929951], [40469750, 27515959], [45041985, 54075045], [38800369, 10279479], [50389118, 64986174], [44541479, 95461864], [33600264, 24389577], [77981353, 381423], [53601152, 72122227], [95557257, 71799328], [74516494, 95919302], [44798086, 5640636], [12739310, 10061955], [38740433, 47605552], [3773221, 90703168], [86053178, 10798055], [16109028, 25630205], [8865156, 35149681], [54591023, 84421983], [88355778, 43004479], [80398509, 86852446], [88537252, 4146868], [5754852, 28901725], [4550238, 75225141], [54140592, 6739144], [28426650, 68720038], [58556348, 66397681], [17189528, 15322853], [44533370, 16611331], [62540363, 38442713], [72239509, 36799766], [66238875, 54113373], [98894124, 32804121], [34824284, 73506273], [36871759, 60263472], [7024086, 37595101], [94159882, 48910829], [21924397, 9864366], [42081331, 82593250], [35062975, 27962519], [13515249, 77171459], [37264492, 32354951], [19898985, 88376791], [13584902, 74131879], [99096149, 45072317], [93314348, 85782751], [93386370, 38622272], [89279076, 53259319], [66563497, 60300820], [10444054, 54679785], [53013869, 44888845], [31849229, 11777369], [7497358, 54329161], [95792498, 32174306], [32881725, 2133931], [41221380, 12357834], [2654229, 75694084], [64728799, 80812937], [50693236, 15356575], [96796213, 61887499], [24379493, 14290652], [96790579, 8295857], [74080141, 83508562], [84156734, 35048153], [27858087, 66521587], [28127446, 77621260], [10322731, 82008834], [49822948, 45519774], [74112394, 31900790], [21542717, 12347045], [81668616, 83317644], [22120187, 69356419], [92901207, 63371634], [17132308, 66033749], [15748071, 36910249], [27070835, 78100696], [53427656, 51470179], [91041861, 40460791], [12985135, 53739897], [12925848, 80464461], [5246754, 72380041], [980256, 20246484], [10256189, 46223319], [54006726, 44267469], [56743285, 84782742], [49595748, 40562951], [83979190, 35388809], [49790695, 74834875], [99039711, 30645018], [56341582, 52351666], [18197662, 18707731], [67806864, 48164315], [67418995, 91659010], [8251375, 74057350], [32826021, 77816805], [14083915, 99271197], [16184535, 71344148], [90883308, 30662041], [66640361, 26377949], [65148020, 44147324], [42332813, 76708653], [55250235, 79497947], [45773465, 59084297], [18934455, 52385943], [33314042, 89718676], [78190221, 65434660], [96500264, 12466260], [58726905, 78614819], [48851442, 26086827], [92833010, 93989226], [2523155, 47011596], [90519624, 12781047], [55322737, 56027060], [95308987, 38896075], [54761359, 5327602], [36045279, 10000404], [94818039, 82832764], [77060595, 81764315], [91979505, 55885393], [41465057, 53386310], [36013324, 92400739], [79078813, 90017293], [19692591, 66135376], [9107378, 60523294], [55256542, 42950985], [1961260, 80640821], [45535445, 25638430], [45919714, 13842618], [68673476, 98560633], [6112734, 73789328], [98321461, 92529178], [44645113, 33255374], [66214348, 95925473], [54560432, 8026548], [87505436, 73031367], [47435757, 26784358], [18525533, 56784592], [56607033, 10744566], [78747531, 2479132], [48226526, 18754539], [37044295, 79244078], [62786118, 86678782], [21857273, 66918348], [90912186, 91283710], [36270488, 72708604], [59184191, 79413866], [11091733, 45079371], [73788521, 76695426], [92187975, 48235333], [86669108, 51053088], [60133067, 33684997], [52039396, 35289957], [65257886, 27588876], [13980179, 29346718], [95194534, 571043], [67933298, 55400725], [97550497, 40199108], [1952093, 67511300], [82178634, 74403687], [92369863, 97949115], [11369459, 87302392], [55707207, 21264270], [99578621, 92735431], [10939017, 1194667], [70847294, 12886915], [2916622, 7407433], [54701660, 16868205], [35645404, 38398730], [6649390, 96487445], [69833418, 30905834], [85613620, 58912074], [60567280, 2598140], [13897518, 80966263], [44921272, 13502953], [80680008, 48374241], [94531843, 74310898], [25720535, 77816514], [65073847, 66645483], [15157172, 33924211], [28176388, 52194407], [97039014, 33702877], [43087154, 28439018], [19484627, 82602252], [89936823, 31962389], [46345578, 81480489], [42503952, 23549195], [23881952, 98077428], [23071982, 94329733], [64036368, 38626246], [72150382, 40128873], [82714088, 60681733], [41134011, 83843803], [35879953, 24470291], [73424623, 11223348], [26643863, 18302805], [28810348, 16087741], [9693222, 92469544], [99584133, 96692383], [15319972, 58706573], [44853454, 56623039], [76625307, 56357539], [75479996, 86147070], [33685449, 66419839], [62139977, 20718368], [15069512, 12437184], [45624336, 55636941], [21825771, 85536256], [61735457, 5320847], [59801946, 13323380], [55321709, 79589987], [65505494, 89688445], [96686242, 72983377], [30562312, 62409728], [77529852, 25862146], [63401431, 40012069], [96497116, 65102678], [23229247, 45466190], [32026412, 82420843], [47272724, 42969413], [37918302, 36736846], [91629429, 42981368], [81807360, 62012902], [30930663, 16218426], [88100670, 53098853], [12079793, 2712433], [37182801, 4929399], [31293691, 27309839], [88404430, 94135392], [80282756, 86997984], [96387935, 60728476], [15345814, 99580270], [95248254, 30798219], [83984595, 19637484], [42612315, 43090776], [91746051, 5408442], [55967359, 67957062], [73524753, 54284427], [21431914, 50122534], [87953711, 16607614], [37217008, 2081834], [81047288, 24555187], [58436214, 13211750], [74562193, 64248339], [38914917, 6511792], [98389292, 62840793], [46730507, 86955491], [28994391, 64842294], [89554220, 78365393], [39204490, 2519294], [66445439, 16489613], [67893202, 60075316], [95406903, 15928545], [30910901, 80802866], [75099525, 50687150], [34278810, 65008933], [99403859, 29710347], [54959212, 66764918], [57265366, 82328286], [88535153, 13102891], [36752969, 85243842], [23251615, 88110744], [97810065, 26661467], [98850087, 37703748], [86371843, 75901063], [94950752, 84483808], [75205056, 67064956], [36745750, 15346705], [52731457, 19047542], [51906199, 95153117], [72927376, 52882720], [60540237, 13325604], [546619, 78790460], [23032038, 29604532], [38180460, 15152863], [39386820, 27111826], [74794605, 49446692], [53216431, 44318732], [47016220, 50254009], [85632214, 96084876], [88516302, 92090012], [97408276, 74415063], [24813215, 97412080], [54372256, 66910215], [73479443, 55140865], [16782136, 61576266], [59692089, 94690415], [62824116, 64400672], [29793525, 56821807], [20122384, 33882418], [1133761, 92067012], [22353332, 81303249], [29988502, 62053212], [95381821, 68718602], [81441243, 11745171], [77524869, 12810828], [21975506, 83905135], [15063415, 68955148], [64777792, 24923532], [98242387, 20008848], [71463899, 44708813], [72134070, 40806902], [32042235, 39859738], [16095231, 6703703], [21655534, 56669205], [70388833, 49203330], [17500941, 58004452], [40644549, 25421494], [38080192, 52557624], [43557917, 80419325], [39177616, 65988368], [80321787, 64206211], [59636123, 63227211], [79586000, 81939975], [55993504, 60641421], [84454205, 12324737], [40647727, 24501109], [24665512, 26293874], [90665313, 94575417], [7058635, 61188867], [26339035, 47825556], [10398887, 48962242], [39410712, 25452962], [46653960, 86064010], [81555206, 97047089], [93588882, 53625738], [86934970, 72537463], [73915155, 2799885], [43062970, 82799869], [99542448, 72893816], [67245136, 2178066], [91689157, 87015260], [51323793, 71020497], [94950077, 86614281], [18989687, 83099528], [11229066, 59881443], [64796695, 49212350], [99581025, 6431646], [63996038, 86123665], [63598280, 87309168], [95627203, 88182270], [11212053, 91795031], [39482415, 69420715], [15844773, 21030082], [41338496, 97971729], [96895189, 33944830], [60093435, 67866262], [93448589, 15598675], [84449049, 65728822], [89543254, 32737163], [77511967, 6498089], [91533154, 33254692], [74833254, 50528443], [98258318, 95284455], [51422738, 15456966], [40656075, 14737883], [39437554, 32996], [33298200, 15327875], [76803163, 46637473], [11603162, 78886313], [13031702, 13861017], [54670100, 40702923], [35417414, 41344083], [5798349, 32471099], [1161672, 28754372], [77873678, 57970469], [96115018, 30452109], [54218136, 90799434], [98823330, 11458691], [17215840, 27214170], [87979953, 44681796], [47318121, 14366318], [23918595, 77593844], [55779153, 42468475], [29576844, 44959071], [47536455, 20260504], [84738836, 29189051], [36965991, 3760491], [69266066, 52746213], [12694255, 18535272], [80898971, 63753469], [62394792, 3280707], [80659084, 52947624], [20944569, 66467965], [5749487, 85230546], [70241329, 52932697], [48323036, 90654807], [33247313, 2879131], [6689965, 88763524], [66210889, 63017304], [21018885, 96314045], [10384783, 87878010], [90485535, 17320847], [14920137, 64889465], [81305063, 61591176], [29032838, 75404359], [60828530, 47091681], [53913569, 40471231], [36767976, 86011754], [63162307, 40334202], [98427283, 180779], [26141527, 91990080], [63803631, 69074228], [4600540, 63649507], [72386755, 59575939], [21415083, 19916014], [26692577, 27507795], [78868831, 23575627], [82742366, 71778728], [89551289, 46532656], [59017175, 73155587], [67159593, 17215283], [73768299, 28223695], [56508603, 5038054], [93312924, 88735146], [99396176, 36585341], [75159240, 50787602], [85236767, 97056957], [59045206, 96334946], [38441777, 19700560], [43725392, 15327624], [45539182, 93138789], [47837363, 22177075], [21968015, 74281607], [35688324, 30892138], [7970868, 2203644], [65928720, 88425694], [61822378, 8942210], [13761129, 63663008], [54134025, 97556034], [7811395, 58321116], [47277548, 78207486], [41631690, 69531751], [79987404, 90300436], [72120334, 63523925], [29385015, 38924023], [25710434, 8228871], [65261224, 41830162], [58308490, 187184], [65771710, 11567471], [34558438, 77182825], [83412230, 54739728], [20661037, 74280423], [83946177, 41334664], [79737995, 15306944], [75716763, 21722217], [43129954, 22095891], [65500986, 45975731], [32042764, 63843301], [28421805, 48725824], [76157811, 45435311], [99077722, 28758373], [47471783, 32072650], [86096194, 8344384], [96230616, 19185497], [33175246, 12877193], [18888017, 53197748], [19687009, 3050150], [68501061, 19011894], [1808214, 57295983], [84790995, 54130080], [34231582, 65335802], [28756319, 63480400], [32798265, 39625424], [80587275, 51773247], [81307213, 90098500], [64939780, 95721925], [92062889, 65795436], [61123183, 1529767], [56701995, 81238024], [82987753, 44041733], [4403302, 18087756], [17019388, 80304201], [32542606, 64067031], [69361585, 65887358], [29855474, 35896323], [8891540, 74694988], [64421664, 75197857], [74480920, 28378130], [84793512, 55203946], [18750221, 45799727], [35665037, 75373410], [58500756, 64877581], [64970029, 193585], [89437975, 61341920], [93616447, 47952964], [88134426, 76006388], [99766264, 18057238], [93104290, 66492223], [24320434, 57245499], [60724483, 40210215], [53243863, 48791694], [83568894, 87021889], [82621675, 55320358], [5698592, 3471923], [33966347, 17149351], [90228161, 61012725], [84991172, 92965896], [87891183, 92185581], [96984338, 39180395], [16750301, 73849783], [67040658, 31656450], [67138474, 99795086], [59369377, 62965259], [95638302, 72386194], [79324409, 35360986], [8414942, 32406738], [37563538, 6599560], [89962957, 8736691], [51141187, 49277782], [6333667, 792973], [91453727, 12605069], [50835073, 13146882], [99488887, 65717979], [59259355, 98547427], [7064558, 71384572], [27032573, 44212120], [74350407, 71601204], [40753857, 23089193], [57762522, 59258545], [7542542, 30034653], [53673146, 3299387], [21148039, 762255], [54089147, 89593566], [47176964, 71789526], [12463600, 68313023], [59996173, 76435416], [14513626, 31110118], [35777060, 93944405], [75705618, 77414501], [92398178, 76003196], [41691574, 64355199], [63475336, 65915439], [31546484, 67589871], [96721247, 31257470], [33412960, 75040449], [81346450, 77349490], [55060744, 10361660], [65483888, 87889515], [3123832, 52637718], [24673097, 48932257], [88985072, 82524076], [17778144, 60885166], [14895106, 8999452], [87211151, 81136856], [87579061, 34406184], [50625854, 77013059], [23104951, 18954963], [50010966, 15547331], [26818255, 9879862], [87013208, 31238112], [12083846, 35084170], [11238296, 31223995], [7142142, 45525095], [41628155, 34056617], [20503611, 15908058], [81962417, 10005601], [65784482, 41541829], [39626304, 26671802], [1462552, 11625022], [55039876, 40576988], [27612157, 92869915], [82862452, 78754941], [80207794, 77391291], [63552961, 17527531], [253896, 94921468], [21133591, 29954237], [85582444, 79490495], [99271005, 25719952], [36707561, 27446117], [84273254, 32371802], [89631140, 91955291], [31401823, 9879485], [87459859, 96217950], [75420835, 13530011], [79462702, 73507700], [9777663, 63879294], [4084586, 4087314], [71006565, 23147629], [67478693, 56729254], [98263403, 84223321], [52252860, 8703515], [78927460, 24358791], [52376760, 15462040], [5336830, 99808599], [26786982, 59084267], [24232268, 78202372], [75619629, 54089862], [72275283, 28482605], [88936839, 79276704], [961526, 59790680], [68151118, 42409453], [38253903, 21458852], [55989330, 15034076], [52360086, 19127395], [21865724, 5132902], [2185878, 42033401], [34965401, 73738030], [64612180, 60311145], [2107348, 55806977], [6506510, 25887053], [95666066, 66476593], [57148275, 8894338], [83522876, 2382043], [65852251, 69405277], [64529754, 32206947], [98555080, 13640939], [31805059, 24043492], [36851083, 40670501], [97723299, 76231032], [27875573, 92629459], [36607622, 87232203], [20150950, 44124456], [77566890, 23301380], [69085538, 78162442], [94201033, 1850665], [56504581, 80798274], [61339294, 81197153], [25616444, 70174287], [22431769, 91263395], [24520738, 83456313], [70326309, 33165732], [65552412, 86065199], [49027164, 21554755], [33521690, 38404056], [39827922, 2868230], [32223933, 58392760], [87180298, 88415217], [58524716, 86961400], [58396306, 38136174], [60849325, 92221356], [54810072, 721725], [36269520, 28937281], [31997533, 72168345], [8762181, 20859809], [70416924, 28826176], [19851465, 88614219], [72360419, 16424671], [19281247, 15651375], [90495172, 16410355], [25238352, 36273330], [11923831, 72971550], [8320960, 15697133], [308032, 66615450], [26460195, 95185016], [1182742, 19117403], [32137919, 56016419], [52132008, 99796589], [18126470, 49207686], [96904461, 58907679], [80780394, 13450242], [4713277, 91377234], [555364, 15800903], [24725334, 70122560], [50321813, 35444291], [13968513, 4552743], [10455109, 13546418], [21978732, 91118306], [84583714, 22699536], [45178113, 21430586], [25181684, 99152856], [79876333, 37619711], [88590150, 3091942], [61951417, 39569374], [84917532, 25371701], [29970398, 93817052], [89702643, 32594546], [76121970, 82154283], [28589444, 24547295], [23171119, 67014029], [65989060, 5595267], [77792664, 77547097], [27274228, 35583750], [93279525, 98558326], [46295987, 23409201], [52880793, 81782749], [66958218, 34179806], [76234561, 81101314], [13020334, 30931780], [59683729, 72568043], [84779911, 91707715], [41640498, 83396875], [38448430, 70215685], [24976197, 90270499], [40098928, 70993005], [35637388, 84713581], [10028943, 73952437], [52277926, 59458340], [94864947, 73347639], [82804890, 13857526], [3116648, 74712844], [40161022, 42100196], [63999482, 32086893], [58154303, 30637126], [70378688, 69338110], [59378065, 16654108], [26947299, 20934098], [13920482, 14556484], [36968122, 65996727], [64564764, 9534819], [51276428, 85924633], [7416310, 90791747], [35820472, 2386170], [51382753, 79244790], [38853638, 51173122], [66116534, 40172003], [1395765, 81490488], [65181985, 69866687], [21548365, 49048898], [48758523, 71176640], [93449519, 74890856], [2785207, 201611], [42100515, 2259098], [93215116, 60868408], [85080697, 72126881], [97847185, 58018270], [76830318, 92998550], [79813440, 16348276], [80456334, 78300229], [5091785, 98738745], [53282138, 64028810], [30099104, 60024702], [36208137, 98242054], [7793413, 95866850], [11847426, 92004501], [22546769, 50921750], [39987234, 78003500], [36028839, 92354397], [4071376, 15612141], [5154384, 15012799], [3661361, 83594683], [12337797, 42375875], [58971317, 47203427], [97496528, 7725219], [63591292, 49615857], [8398666, 67973850], [70619297, 99387259], [64053854, 48753769], [24236672, 93918109], [3223458, 39047225], [76369058, 91609383], [16589459, 52910007], [98459276, 69551880], [37991223, 29358808], [50649959, 34598817], [77755096, 50136746], [15239632, 85571071], [8377397, 75283715], [44222892, 57951408], [93491788, 68430670], [36799561, 30034757], [6721945, 22518079], [47903028, 44130683], [78283577, 63340081], [99193195, 26376798], [34040176, 29421633], [23721324, 60883995], [99541928, 80779452], [85199587, 21815680], [35502380, 76606595], [61597008, 14271874], [50766686, 23244627], [2556760, 29104431], [39669105, 93540084], [43420854, 87509064], [23955009, 58802648], [9747435, 6523138], [29107014, 59812108], [84137577, 88323331], [25844388, 31940618], [41492540, 33729057], [72637721, 2940660], [14254198, 79649154], [14015808, 77747863], [97479503, 51244116], [18504727, 64380349], [87289209, 28853247], [22855111, 62179949], [29568150, 86808115], [1992055, 25633080], [34464594, 55837064], [37373739, 10532291], [54644882, 83334702], [19011057, 87030585], [18824087, 7157583], [91617988, 63957560], [39302014, 77366186], [75721122, 59906757], [14764670, 64617032], [25977384, 37387971], [32039334, 33458556], [65870511, 11457438], [33380035, 58955264], [62515262, 10144057], [83659232, 65886746], [67144820, 50261403], [72275968, 52188190], [5920137, 90650275], [61376412, 69227692], [9636567, 76049173], [31773822, 62451875], [23405682, 27910628], [47656740, 6308647], [69613047, 49186732], [80165183, 70317829], [84173089, 50327370], [57557993, 90830635], [7546098, 21015241], [84397322, 30426417], [50564285, 5686789], [70934860, 85641521], [86273323, 52851829], [77142318, 43680717], [78779821, 29449515], [71088406, 70465990], [82851969, 39500332], [50457311, 91796885], [17280437, 39909644], [76544926, 96390478], [19288208, 42262156], [936798, 41704550], [84505745, 56125350], [49950123, 33655946], [98451381, 1694661], [55156692, 3336854], [7492874, 46242992], [76939721, 92000001], [23993569, 41022911], [40810216, 27327885], [38527754, 29484045], [1393835, 40845875], [3665409, 64150628], [7057500, 65453412], [49677154, 33220195], [32507045, 66106261], [33893901, 4101709], [86375975, 72949099], [31320150, 5386287], [41837935, 64246831], [95605499, 86945882], [13447623, 80261225], [52255455, 75415804], [27893129, 64667447], [87780009, 38294995], [72341159, 12214680], [97794137, 33227395], [66052634, 66582527], [79346195, 45394652], [70998642, 42525255], [12413991, 70187023], [36350796, 85835382], [34160152, 1597742], [55287585, 39887680], [99304664, 1472023], [22145724, 14008078], [80881676, 91226805], [43221738, 93693045], [64729224, 1816742], [94349217, 24590256], [65284487, 96718547], [20661911, 31429658], [57777140, 27358347], [12815332, 65642900], [10984710, 41547833], [25656099, 24742930], [32232248, 39488280], [83256397, 12936619], [43712703, 11140819], [89396679, 83879201], [66349734, 60760253], [47475330, 78357778], [82897548, 61537642], [62377328, 46497968], [90276833, 73670430], [32743452, 88408042], [17236664, 6099070], [99260512, 54403491], [46967333, 86083068], [39834467, 55606893], [5387694, 14425679], [78067297, 89419732], [74738415, 29076800], [77241077, 37644549], [19908351, 46418111], [18112636, 70727978], [71240847, 88825588], [41554491, 93456673], [43016498, 51485255], [42131495, 10155773], [70397003, 5946108], [98354834, 48976894], [14933246, 81848844], [76438944, 3857235], [37299096, 60438148], [48140445, 89102081], [91110354, 39720414], [36349217, 12121154], [83040033, 463503], [1924264, 60364628], [11776240, 59820519], [14024961, 22496681], [33132360, 57949363], [587149, 86125530], [28956589, 28546184], [38576678, 65519000], [22680391, 22154092], [34679727, 71646571], [5280556, 5896696], [66359913, 68345888], [26924090, 64098022], [71923429, 56192321], [78591539, 34677564], [77561529, 17105628], [47349359, 4566307], [63440137, 33642941], [36362348, 86072713], [53370355, 90477695], [94472848, 80750857], [75409073, 59574472], [81230405, 5229340], [11945026, 64397401], [9607401, 78262547], [89102344, 49257806], [43367504, 38451990], [16252288, 7932370], [45570582, 59368332], [14099559, 74067485], [52492324, 20575878], [22008447, 28149731], [54133699, 7927449], [96496954, 39720450], [37259355, 26298394], [99108415, 7928289], [59111833, 34033799], [21337091, 10609403], [9052180, 52047275], [79278310, 82280719], [15644279, 88916588], [25934676, 1935241], [29928854, 17204525], [75199970, 50049676], [34510261, 96501299], [32234868, 37520257], [68423540, 6505421], [2712490, 4878154], [1125371, 39486049], [63158212, 57070964], [1983180, 79340341], [65014273, 42761537], [2144248, 633697], [95893129, 90266899], [84169346, 12071484], [55071460, 19037681], [6288537, 43806416], [76244308, 37277548], [61659272, 57313630], [50440416, 42064767], [40278489, 18094819], [64924231, 9644653], [76799750, 88774910], [49711642, 38631661], [17186234, 48226447], [25068799, 67456061], [26593011, 12272322], [3404164, 88926955], [53499517, 74898944], [23584082, 12505557], [83503059, 8624594], [10315960, 40012701], [16565882, 95391363], [40982490, 25543365], [81400119, 96041009], [42797379, 66541651], [60802668, 68424041], [43458438, 95518649], [20174019, 64085915], [83260244, 94970011], [85999351, 46496160], [90056409, 44063467], [9280267, 30915990], [90227772, 3168725], [97862779, 14568279], [69992478, 39670988], [51135586, 46215216], [52287726, 51267774], [82899011, 44846988], [11917349, 81791631], [82071205, 13033631], [13776314, 96281041], [18219403, 84952038], [17913867, 44190432], [25985804, 6180083], [23864689, 7321259], [93918803, 46608952], [81427095, 63916387], [16804912, 78161231], [78160903, 89321583], [69215638, 48671936], [14271248, 85359285], [83390443, 31296560], [5949613, 63469546], [1509518, 81350604], [55993659, 4404474], [59579391, 6403209], [75776624, 80134643], [58189933, 55728564], [48619335, 3403048], [72362590, 5955923], [39525504, 9898200], [81861983, 89903032], [28912821, 98613251], [86167865, 90508639], [91565252, 75503960], [81278990, 96612820], [69769524, 5045354], [37733079, 80097819], [72102691, 19038248], [27137398, 81355252], [77409070, 10843432], [74184413, 52120569], [32435904, 6975821], [72662833, 21281241], [22546894, 81866726], [65503929, 39383811], [82641779, 63893959], [56479544, 34961323], [27021980, 9692735], [50832343, 86730148], [98318101, 22740968], [65866237, 91661233], [44551116, 78497819], [54127760, 45231560], [69149217, 49253109], [46832418, 83993473], [35537826, 91016706], [84685889, 54802670], [34338815, 3357084], [10837511, 92824460], [44959993, 77489380], [59071826, 46878993], [44201827, 34566722], [95842532, 18816127], [68891977, 91443310], [95159701, 79309770], [65701390, 96148747], [57107736, 7443501], [20737884, 67052108], [59741992, 17867462], [78766626, 74731171], [77794902, 90218399], [94425062, 30816125], [5279916, 68403965], [87086575, 80058072], [1797843, 93412931], [88040934, 65355719], [32746074, 65243088], [50355113, 931425], [21848234, 64361065], [81279467, 55289942], [83891318, 20374383], [69070772, 10461999], [34967364, 53738082], [31114822, 51796170], [14812760, 29118747], [26559300, 16194011], [93616146, 3274605], [74311031, 92215366], [71432865, 59628672], [31739714, 79420096], [41175886, 5502562], [93635126, 80779273], [1208373, 56077810], [56595597, 92951431], [91920184, 46765511], [21765060, 28721515], [19119283, 71614868], [38704483, 32981826], [42997843, 61053308], [30819967, 32202022], [80822345, 9893635], [79763625, 75855817], [94400491, 76741664], [64069679, 33602321], [89575612, 13687955], [27308011, 62877770], [11828581, 9620970], [50873481, 74923704], [18206154, 1766695], [48119859, 74284581], [39131851, 16726629], [20012307, 73408615], [15475201, 17623266], [51691317, 2147647], [85759123, 75198029], [72267080, 83362020], [1417900, 78665490], [36352801, 75168439], [66977811, 28256966], [40821077, 23360123], [76367631, 41076054], [26727375, 98798177], [71402849, 42229902], [88427197, 80020374], [31881972, 37495861], [14537324, 36296572], [20158171, 46561884], [3498466, 88718885], [47680273, 54781993], [90592032, 63584161], [22945067, 64076573], [34637349, 27620993], [20395293, 10139532], [26031063, 4027871], [4094220, 27337662], [64224116, 1134840], [25273868, 22826853], [17667762, 84432185], [10615201, 50968723], [13643397, 82321598], [16959844, 86609409], [18716149, 78263135], [61468703, 1644224], [9139363, 72179999], [14522933, 5584093], [20254511, 86542716], [29626846, 92057678], [86470451, 51398242], [66617311, 14450046], [25636542, 41181946], [76368684, 44736564], [71045161, 57796910], [92658051, 59562999], [38034772, 45276458], [4312350, 91425051], [95344075, 38458996], [43870826, 85584328], [96530184, 68757529], [11417092, 68300633], [61653098, 18532252], [18361898, 3482472], [34150700, 22427391], [24546515, 10401396], [28507828, 21650312], [59805487, 88971747], [29393899, 38832737], [83167110, 95882590], [2818504, 34474897], [24727427, 29393436], [73833595, 40275544], [66061137, 67110771], [5255241, 62212241], [77412640, 52892386], [62809419, 41621804], [7129011, 62045799], [2784008, 96140674], [37928738, 63496850], [54948132, 19246301], [46799214, 81635245], [7502950, 32282654], [11654061, 72107836], [61140278, 89512723], [56615666, 2535463], [19947845, 94024596], [53740561, 84732823], [67468136, 90738559], [61596119, 73787844], [98150529, 72884484], [31465059, 25836649], [27519361, 24296776], [80142228, 41826917], [32295886, 7213414], [54573783, 38921493], [97036063, 62813065], [58319199, 78988085], [10570475, 46773223], [28468573, 24474364], [44817468, 36474509], [25136288, 10293161], [24199836, 62995076], [8837369, 50615040], [93761762, 28483307], [93565346, 87532866], [5047692, 48389327], [92972638, 72717757], [97955064, 47316799], [30705006, 79886757], [42335236, 84184227], [37449723, 84760534], [88011220, 94080905], [83414156, 64566177], [72692321, 59496587], [6236242, 82957813], [37076618, 39308136], [89238853, 23257792], [87332988, 32756544], [38476226, 87174248], [69859081, 19935271], [33007638, 59097756], [13820871, 39098172], [61328313, 71761657], [60151662, 44975417], [83284712, 27350792], [31928235, 39185187], [79986494, 1056756], [26276550, 11413170], [73478012, 93169283], [54861734, 62803626], [98513413, 61436298], [50333456, 68907291], [11815513, 79685904], [1044238, 44470526], [13261564, 19615674], [41063894, 88171598], [99750186, 49909219], [99271337, 1601283], [3808254, 54102163], [92498227, 64702242], [19248866, 7984636], [14560052, 41814832], [36250996, 83601628], [84800160, 39630745], [81484207, 21608202], [11114474, 63343701], [61537832, 89947607], [94085644, 34436850], [67800165, 46223476], [74339488, 13416747], [64422024, 53386574], [11844709, 51003731], [95422692, 98574934], [3050253, 14697210], [81412827, 21933725], [99498916, 92016984], [71276972, 32070358], [23444994, 67947323], [22240540, 75221702], [81834626, 50238899], [94064491, 25408866], [69856386, 77542097], [98040357, 41814410], [53378486, 54890299], [47742647, 82279468], [71968306, 22171672], [76258886, 62839305], [33555128, 64430849], [12085978, 13724549], [81621853, 90118231], [1584895, 96552635], [95921902, 84596370], [71464050, 87904052], [88678912, 87186613], [31398917, 18979363], [8258124, 41648728], [25918806, 88861640], [74372518, 4504702], [30809099, 12274653], [37335775, 77501961], [57726103, 51973771], [4525148, 26684443], [46251935, 2676061], [77590052, 22977610], [858692, 5232102], [61568798, 47853022], [29561901, 69983217], [42932201, 47679788], [60925633, 84505397], [55879197, 60595724], [41167052, 59588439], [5208444, 51877220], [25051756, 82897599], [72713730, 95778057], [72373069, 62610130], [90776865, 64306285], [2325093, 89547140], [6112941, 46179259], [35913586, 91352045], [66084093, 43725893], [92030332, 95514486], [42104153, 28461896], [73574873, 88842239], [11730524, 37465504], [67119330, 98344163], [65936329, 99787372], [62659530, 31766263], [21817873, 41356778], [59306403, 48446514], [94420356, 6803129], [58555656, 16583966], [6655761, 55528593], [98745220, 22287060], [16072886, 93459406], [32809678, 59123087], [69904830, 98079374], [43023053, 93308144], [73630240, 51672904], [61254453, 16760226], [52419733, 16003445], [12232147, 12037778], [88394741, 66918748], [87926059, 15978882], [65500696, 6673285], [63807934, 54173895], [31907322, 18649257], [46299989, 98344742], [16213651, 4118645], [56936783, 14891409], [52578188, 91933771], [56234100, 91196750], [12936008, 55840301], [93227590, 6352060], [84505967, 62786109], [9785624, 80616033], [49709455, 69431770], [95990727, 9909039], [24217460, 45459359], [7503703, 64735830], [45635328, 76213946], [54326029, 66458649], [1526474, 41565315], [36860659, 20047276], [82026298, 57594440], [32845662, 30966463], [4523876, 52991195], [64935915, 75158354], [771925, 63342495], [22672832, 93846202], [6865136, 80054119], [27697133, 88851176], [75988352, 35023425], [53088070, 74110373], [49620532, 48500138], [53508186, 93691856], [15165454, 77215641], [14683915, 59207680], [3070495, 36235467], [90765289, 85190939], [54647891, 37467595], [87979849, 42772099], [11488206, 45589764], [36196771, 60362278], [13760938, 4967073], [5685009, 82300849], [38063643, 55902011], [12644688, 82116512], [66815701, 62703212], [15887103, 79137764], [96397117, 42239824], [65849404, 24913090], [98677128, 68584079], [65234272, 65584711], [51958231, 92102906], [52743552, 90527308], [60469705, 65818408], [57246835, 56844686], [30113498, 67462141], [57385360, 30488403], [78101244, 23167845], [61456575, 56659614], [56649237, 3645971], [48507233, 47661146], [84437442, 16080187], [61217067, 91057982], [37495168, 31641132], [4787139, 78504407], [77132523, 14362364], [64866752, 10470471], [43009680, 88682472], [21426059, 19800527], [90340918, 3965927], [70625875, 94854838], [52976996, 17026598], [60711934, 33758895], [13539678, 24608335], [37717259, 49071871], [82336213, 34454143], [95452067, 15544417], [96223859, 81937943], [11487095, 16886221], [81714301, 32542420], [69487894, 47783859], [1574366, 47277772], [19884021, 28894589], [98436517, 70212667], [68314240, 59370282], [57007999, 46084848], [75425200, 68178495], [2948192, 55481333], [8241230, 45707280], [26638628, 68597658], [24145489, 7272523], [30130558, 20027605], [12423783, 24048557], [58221269, 44417242], [98967459, 22254881], [73123323, 81781618], [77081824, 37196645], [27604493, 94925556], [89882399, 68626781], [41668440, 14701836], [24505666, 38715378], [56314404, 37441135], [17690827, 81121813], [8891938, 84659484], [7294894, 85982734], [17515177, 23971611], [3459951, 53334756], [89614998, 40524104], [52842955, 56237139], [4565982, 482919], [20508317, 71216401], [15006687, 41323058], [42064880, 74769916], [74237961, 29352379], [44659345, 2109758], [71442108, 93022240], [37385011, 96963154], [3465404, 46697670], [57002014, 77809909], [18886362, 10671276], [27811876, 3359570], [19435451, 67406541], [12732075, 89725333], [95619745, 61009962], [70675946, 63778378], [55166002, 79772380], [3026899, 14190066], [20001883, 78616793], [94337485, 40167081], [3566003, 50950322], [73562089, 22594870], [78965344, 85984644], [94143655, 37816629], [27779605, 26278763], [57414748, 35177360], [17375619, 75204661], [67107218, 90602102], [89546087, 42395476], [3250806, 86797378], [92432832, 49240113], [86015197, 20717079], [68468904, 73161014], [29784324, 87599795], [47210109, 74182651], [67672255, 15522198], [53010072, 64154401], [69546932, 40085123], [10610830, 77770004], [78728469, 28601634], [46743784, 13797792], [15560501, 6272380], [35757693, 32005830], [51179519, 55058947], [11658850, 10938042], [7397733, 90390869], [83369475, 84125475], [55521108, 32933529], [28555244, 88483728], [7536574, 16270171], [44909652, 53607758], [61069163, 79217850], [88656910, 57175942], [4992563, 23589032], [53256288, 50227592], [44348349, 63981185], [86963585, 57138206], [46705532, 57139059], [418556, 44785258], [13786176, 22392412], [64067123, 26944749], [24495927, 18965761], [88313612, 86221516], [55290549, 8235910], [78653295, 73353821], [18044499, 22809742], [73545000, 92651559], [78358253, 76776552], [90495859, 7048239], [85424088, 70966532], [20234234, 52238100], [97844023, 25763292], [75485420, 65659464], [1784612, 26030256], [90263661, 54804651], [78733367, 71388598], [19982160, 56893649], [50915804, 56675758], [6676755, 85194494], [74509717, 33140729], [59726294, 91214477], [30860241, 82008348], [95319777, 26359120], [89942418, 33721110], [27205522, 36559008], [49578650, 78051024], [64152730, 43527853], [17428486, 59108162], [5014923, 38902535], [58459165, 49551400], [98891884, 12892679], [16206296, 64243301], [13356958, 60229388], [54931383, 1199779], [45035211, 93914073], [22076641, 89904319], [64128985, 66291003], [16236586, 43773953], [27478602, 46082698], [81552705, 99472610], [49928592, 81555668], [48984822, 77725441], [79138886, 922505], [88314868, 12372362], [46524576, 68797240], [36017955, 98930067], [24348775, 45138070], [95898294, 69586000], [68855051, 16003893], [97493586, 46111276], [8597467, 56175129], [64131719, 93523296], [23909300, 83150331], [46671307, 70462362], [66186803, 92831693], [71622792, 51441697], [51307763, 28994158], [92607783, 24046561], [98754012, 35534606], [26741944, 21444113], [33279553, 72841032], [47401494, 39839026], [64312340, 31012430], [82307991, 11370846], [38222405, 14666227], [94966026, 26014313], [92014625, 40917834], [37300190, 44466024], [80595509, 1197076], [13553782, 81390881], [21916115, 71420185], [41107625, 37194042], [85410021, 91601147], [39183981, 27786984], [99916243, 75917408], [71149209, 35574453], [74700205, 16719444], [87410908, 43707995], [92731113, 48431396], [43110047, 64667614], [77585283, 3548224], [60613461, 3394991], [63333868, 19279399], [20545402, 6941397], [93073967, 42932624], [40059423, 84032950], [73798924, 76394380], [71348090, 21753095], [77933420, 41907584], [48762152, 86505344], [60368059, 26263746], [14809125, 17462929], [82781303, 81282776], [98843258, 93062983], [43739977, 89899061], [86330486, 84280780], [38586277, 57196165], [58390376, 29106382], [5266665, 52018991], [63756671, 53485319], [31549561, 35866948], [59990283, 41714308], [53329849, 29419295], [8680295, 83586201], [23075333, 94554497], [71556696, 65453172], [94540276, 54300031], [72058178, 4326031], [25306937, 68467193], [82154603, 85582821], [36690751, 29556275], [31914339, 28559350], [59982383, 1142917], [20852477, 46436532], [15067008, 80744890], [61497184, 5582681], [92098926, 41403447], [1396536, 63463380], [91390934, 85124361], [76618528, 8474559], [26777682, 27620930], [96893878, 50285143], [63351990, 8847284], [61111022, 56196871], [59101700, 72031926], [24304708, 87530130], [57761870, 73578780], [64816926, 33195322], [23518207, 9561140], [55951654, 29488636], [83343641, 78660511], [95316798, 51320824], [68760271, 60270977], [54104511, 23417751], [97420196, 11912456], [60369491, 92655986], [32258862, 97648670], [91702402, 3128754], [48258711, 40988373], [7111202, 97556614], [49703669, 32806238], [49277962, 70461310], [80062772, 34906937], [61042040, 84675594], [85100710, 44604513], [93230199, 9682477], [45006677, 69105584], [70998076, 15100562], [33989874, 73821642], [70928390, 70123069], [27298480, 92310324], [19655113, 98657823], [91488612, 97024655], [86642074, 25124322], [33646288, 99335530], [13037149, 84520065], [38251412, 13015228], [2130269, 85711445], [93462360, 430326], [19206184, 53618578], [78814410, 8771558], [28320707, 63766939], [46756910, 99703100], [6287799, 92123543], [44015875, 47074236], [97787220, 86858894], [51234355, 92549528], [2815316, 93122736], [63869199, 20887421], [99283686, 65989182], [69113578, 99014079], [30305520, 34274789], [80291485, 8216143], [18370672, 48121940], [30128081, 94013322], [5799566, 28150413], [89063957, 10618210], [53154926, 16725867], [73083375, 10527299], [14415510, 92036147], [45758877, 97816553], [37935738, 44405399], [25410315, 47357801], [57267618, 37604380], [4050557, 49316696], [22826936, 25107792], [41168988, 47545694], [98422949, 61800774], [36238642, 44696290], [21561349, 4041410], [72749791, 35594647], [75677561, 66127074], [37687179, 42282139], [93648351, 4810515], [70316754, 72981687], [63781442, 79653528], [69685910, 48866691], [72356060, 50255465], [28554353, 54908826], [95666803, 82523008], [92317267, 43762226], [13993516, 49130753], [45771320, 71953562], [38973222, 3958678], [90882245, 34287859], [8883669, 55115468], [68208723, 2239729], [18042804, 72329511], [51366783, 3387843], [89680280, 11633687], [51723065, 4456331], [15459328, 70398761], [91712183, 28192], [40673102, 35901320], [96463654, 27383259], [25215846, 57982724], [37157109, 56700350], [52556631, 84501825], [66476536, 48634674], [45712651, 37067332], [22311665, 36563816], [40090481, 24448233], [94917807, 47243499], [22625475, 69622994], [28552234, 63623883], [26815923, 97587771], [84647606, 13242465], [43845450, 15636825], [12131424, 50402661], [73109884, 55114053], [51223146, 47344616], [29431177, 34711393], [75985558, 40415536], [32508602, 24397515], [25648560, 95850100], [65128832, 47648155], [18393576, 98732180], [13679810, 74239626], [85483678, 72404982], [16422054, 83304884], [88868494, 48310710], [54410644, 91243938], [52341860, 4915464], [61794873, 88874049], [31805071, 99745813], [27437442, 74909464], [99711090, 85118856], [71864266, 86172323], [60907033, 64029949], [55592691, 73303136], [55516052, 20863966], [43717610, 15097063], [69823302, 71398613], [77153980, 33864755], [78996758, 25692268], [83178331, 2534475], [97339240, 64802888], [47708659, 68375946], [68849591, 25831015], [89047593, 98401516], [19276645, 80270588], [46560887, 27343622], [29035148, 92353961], [87023066, 74080228], [44974368, 88736401], [89063769, 88820939], [76782369, 92161254], [61485208, 14253643], [3059913, 84940525], [58233961, 29929841], [54113056, 70988321], [53078830, 57153690], [8991001, 73119035], [25481107, 20831050], [83448037, 72194730], [44306760, 55853490], [78091985, 27700722], [7860502, 81450038], [29913255, 82324229], [41149732, 74699052], [58371508, 97069042], [69286646, 68759049], [56087190, 25659452], [11126697, 2735609], [28505593, 88309609], [59397976, 30401507], [67982688, 18226342], [48986371, 49222665], [22027846, 2680107], [30525318, 35201803], [46314688, 29350579], [48082280, 68614459], [86819704, 22338529], [77504852, 22548823], [10530415, 61304783], [24981079, 80262006], [2191132, 45135330], [13239536, 11680383], [21144503, 88959418], [33329239, 14193231], [79166681, 295302], [96444145, 48073287], [48257164, 51665241], [43018326, 84027404], [34230453, 87546621], [89660832, 46754697], [26004856, 26278821], [68319235, 93061933], [29034919, 22846768], [4094628, 78154646], [38345316, 32083397], [49006372, 94989975], [81410348, 61141364], [84224062, 86840285], [88566521, 29213827], [22970394, 72458441], [17325706, 88983302], [79576175, 13921704], [61659019, 57606999], [40225242, 43945505], [74813058, 82893471], [5389679, 72460951], [32739326, 27283290], [29119817, 1925279], [73739882, 25471838], [50796917, 99038765], [84495605, 65669940], [46326779, 74215716], [58707515, 17690062], [99429135, 47802944], [66930931, 6642872], [3867328, 65957477], [58203464, 5831873], [34551268, 92065812], [69347114, 9510785], [65145502, 5440537], [88445293, 35687301], [78351905, 84823126], [39597264, 78175340], [12018399, 76276203], [43613668, 45817767], [89727670, 62980751], [9758988, 78798422], [35297741, 86966422], [41366132, 3260251], [31370721, 2320522], [33224838, 77822050], [13916287, 72108667], [8415776, 94050664], [35302724, 19474019], [69129414, 52919346], [88311115, 48554657], [99789840, 67817331], [95131253, 84672244], [6938541, 44316671], [81523081, 73578160], [43878286, 35476237], [46222109, 11982621], [63365312, 51511883], [47957510, 22794799], [6697035, 47320208], [93724626, 81335606], [1884433, 20311864], [95101436, 68805095], [69077403, 1639004], [27708665, 60958382], [15750821, 5102948], [26050759, 55436741], [41609280, 17424117], [32074323, 20289653], [76015173, 71319473], [86579443, 44856498], [90927774, 4580193], [85617737, 85802796], [48529958, 6138113], [24162601, 31950602], [11255285, 87180831], [80808316, 86878205], [3544314, 91170231], [35261930, 74506628], [57233534, 92579630], [53229263, 37385978], [66123760, 13956294], [87555136, 58977348], [99185490, 88231194], [47126815, 26849057], [40520979, 21519270], [48751927, 49744741], [5296248, 62428302], [46460492, 64670533], [9505450, 95646927], [74748606, 39434583], [23832537, 28008301], [39439786, 34158751], [78705837, 90679592], [76073321, 47068058], [87159615, 12507487], [45104777, 44264796], [96161881, 11383554], [7716095, 43790655], [73973512, 16668844], [92318255, 92270204], [12277879, 81510530], [41269267, 60371172], [21022217, 19608503], [23289316, 11640408], [43225532, 85175840], [68077604, 90251041], [21758470, 3538931], [59196305, 71546451], [26991479, 94199475], [54606217, 49010854], [14162925, 9056657], [93545460, 52428017], [97701173, 56773385], [62310977, 36977574], [85267002, 92800225], [14066123, 32991594], [15814194, 85897728], [91851339, 67944831], [68553990, 55074383], [71861896, 82133197], [28135583, 11822029], [33662220, 96540596], [90862358, 62376465], [19170816, 30679099], [60850430, 69164087], [18769436, 69997037], [12566012, 29341973], [94765975, 39320041], [24684752, 26950933], [82412639, 89519069], [15106933, 41407922], [10943800, 89507027], [47679688, 88515649], [46346255, 80985069], [68245161, 1956019], [41377953, 70972883], [83206212, 94552223], [95105192, 46347021], [62294305, 71566521], [99471005, 80773277], [37652926, 64894393], [87778195, 50269802], [55997708, 54924865], [18967214, 41649724], [26902904, 88056592], [65245454, 93282171], [10553727, 86085440], [51745575, 95119900], [58447586, 90727327], [43660802, 13442100], [50970785, 43641709], [31834424, 60776827], [60473281, 2592411], [61997705, 74816580], [12505336, 50187483], [94943535, 39366306], [9200115, 57714747], [18094601, 7035016], [53351230, 88052978], [83406955, 86104094], [45090952, 69120760], [15151482, 25567190], [21859926, 38394809], [14009488, 47490669], [76943323, 36639669], [65865967, 69359929], [97248120, 39834501], [99626149, 74672022], [93094557, 45136741], [79619004, 50017084], [51320446, 73891540], [66710966, 24783397], [45639868, 66623744], [62322135, 17739552], [94880966, 77372517], [1323660, 54147767], [7309551, 96745887], [9406737, 86773113], [97758240, 64097980], [30346540, 49344167], [10552143, 44941436], [76094603, 71793283], [73615086, 95480680], [6040053, 57734144], [92205089, 30251835], [96449542, 42597215], [43693257, 4378742], [68811919, 16915566], [84664605, 99538349], [71947680, 83793313], [31507531, 22696385], [77489875, 38644088], [10829778, 71519309], [95589939, 12624207], [33453565, 77389632], [60433280, 10602164], [4488935, 78734611], [66533125, 32028581], [54833084, 17113399], [37170793, 5284047], [38497191, 45467187], [12645847, 90307838], [44079921, 22512052], [37680097, 9561102], [9493043, 28248062], [95707513, 80148622], [2685687, 53436782], [96336797, 37409659], [29391091, 20367252], [51837817, 26972141], [33156177, 42974785], [62467216, 50533987], [18952421, 64583929], [43249638, 66361862], [35377522, 62188851], [6476917, 62772789], [255556, 33959095], [98472180, 58458002], [20175104, 22888297], [13856484, 60271785], [59539408, 13804987], [19431645, 38733677], [97285144, 97148875], [20622976, 16512590], [80169478, 15564341], [25132796, 69553660], [85140749, 68859777], [95448110, 25574656], [21709822, 92682468], [12300858, 23795844], [29178993, 1992350], [78753093, 37228314], [62832481, 63471349], [21421784, 12083475], [66200042, 77207696], [3871602, 47590870], [13513809, 11028783], [26712151, 73437076], [26996254, 16329143], [86604004, 56559926], [29520046, 65166239], [35077473, 36942345], [94498849, 22660395], [30089420, 26515156], [45533179, 45157921], [23066953, 68498347], [90583395, 71725484], [51850742, 55180844], [44309019, 56614776], [7447455, 99750520], [75668109, 67889867], [32606253, 55650499], [69967822, 22831000], [10903808, 71405889], [14364706, 35265687], [18781687, 73630013], [85468313, 2903951], [66040566, 59828624], [83339666, 84894434], [87935957, 26616391], [28106112, 16243720], [89446814, 29825703], [16738017, 46439819], [60200086, 5714094], [44222555, 64035506], [49543632, 21958340], [25891111, 83556153], [3963639, 93232016], [87311797, 62974614], [73591122, 69881639], [23552571, 95093417], [33992386, 78962648], [26931588, 69798264], [61384206, 77655000], [26386029, 50953005], [93381257, 32125474], [98347324, 74521469], [59717210, 11209149], [46823809, 18984029], [35007589, 18947347], [20677848, 18356395], [40839890, 6989505], [40775714, 32488059], [34808239, 37649464], [38148803, 20105114], [1775263, 97082101], [42489154, 11203980], [32964266, 80707302], [26257715, 46881411], [3455075, 70135807], [67622729, 58442899], [75342848, 97258837], [29641372, 94666632], [59270394, 93980615], [98056788, 27599694], [55370273, 31354779], [86440227, 5107057], [7363275, 93652565], [8050114, 56398633], [86828878, 31136780], [66581573, 56614617], [10901386, 25910949], [59025215, 26518471], [43966276, 37610317], [84813027, 61940730], [5735758, 23911046], [97661195, 74996301], [96423998, 17416863], [89590401, 69255751], [25211616, 41212342], [13482741, 41374330], [86222473, 10407651], [4621447, 40586492], [54129675, 57236271], [71489176, 61271640], [23940836, 77961836], [72570786, 21159553], [14083218, 58040943], [64237532, 41605079], [70530165, 10012115], [35126237, 25166903], [53581002, 91955397], [66428711, 67607913], [45741665, 63573515], [24090224, 97177772], [32996601, 4239317], [53845559, 21995687], [99518495, 54866178], [49576113, 71203626], [33335575, 45754856], [80635818, 54298928], [18509207, 98962020], [52891496, 48925137], [74411631, 8779653], [95377145, 22600294], [76456860, 14189077], [23443143, 57709871], [33574790, 11550765], [60585723, 14022325], [62805667, 82824391], [15707747, 97115794], [92829001, 44606034], [58963651, 97626950], [88739104, 93348843], [77719178, 96534639], [48122957, 22431064], [38087718, 62021291], [49545316, 48688111], [25647998, 47067392], [49771948, 3549978], [35338327, 73217693], [82496214, 39201863], [58607642, 79443093], [89143136, 27709717], [32626736, 29811088], [85020793, 55974045], [5500341, 68998102], [52351338, 37726463], [17831522, 87635678], [83797594, 10540430], [72629665, 86455250], [73152091, 76859644], [50511848, 26598334], [94815117, 95620452], [62262799, 16998209], [31947291, 15520513], [54904324, 65612703], [65981118, 52805484], [73413807, 67641240], [95736504, 51405206], [19013699, 68435249], [65002654, 72583855], [64187101, 46204520], [55904449, 31519182], [51217400, 44745950], [90699678, 25672186], [62046618, 42822818], [51533267, 97027322], [25281768, 95036697], [61163400, 44310395], [71357230, 64153921], [13255292, 62904743], [6053060, 67319817], [27839408, 60243278], [84518685, 63362088], [56649013, 99011871], [11201361, 16910011], [43568413, 1870007], [14500172, 81004632], [81334935, 87022026], [24776052, 48281537], [56826634, 21807750], [98193687, 25119498], [20300090, 42661875], [8521977, 55404840], [96882088, 35100531], [59333500, 17997325], [33437385, 56565191], [1703828, 36387759], [94069750, 60360337], [95317825, 42557913], [63982433, 49768892], [18413534, 24092761], [89603307, 85469857], [5174431, 31338321], [69822626, 57464336], [79583943, 44211192], [82684422, 91131414], [15427588, 44113939], [41690305, 82646692], [21617015, 88625662], [53520947, 80404259], [53265985, 62160823], [79359623, 22432931], [40492129, 92311322], [6335539, 2622629], [93722608, 3568224], [93964663, 57953210], [35019473, 94408560], [38897604, 44407714], [3994378, 88888652], [93638088, 8529963], [55606691, 87120662], [56993836, 86767386], [29480372, 81685331], [50592543, 95453231], [76479022, 10972734], [60749047, 44171789], [76107770, 52204479], [11466488, 71980506], [31011695, 86249468], [63730054, 2477528], [30762211, 49671030], [43262131, 52442060], [78489249, 14697024], [2567173, 15666650], [95604760, 27325250], [69702294, 48360529], [38202391, 88602885], [55347704, 50092336], [1508465, 98098748], [16912478, 12598546], [35073250, 13848654], [19444016, 1525179], [30940296, 21965076], [98549060, 70497824], [10468262, 67553112], [28003032, 45620534], [8240124, 27621667], [58460298, 28408926], [9625536, 43889212], [41658063, 54925168], [82146792, 94861783], [86408280, 31724572], [33849714, 12922848], [83286401, 63803246], [43985418, 1017314], [21219311, 5862546], [55075778, 30765998], [90104174, 23971181], [61510905, 76123102], [44945149, 90544217], [9236486, 39729886], [97678431, 22963095], [24896390, 62480528], [48659882, 32506188], [67140633, 88644753], [52980484, 83678765], [52086079, 297880], [86478197, 44568124], [31082212, 10137499], [41529573, 90805540], [8254653, 21162148], [76268382, 10498937], [15265978, 63979057], [14318232, 15778980], [27377555, 57295964], [64909263, 75251025], [98760328, 20313305], [39669569, 42520802], [67532218, 42483118], [42573382, 11814362], [36267597, 3939902], [6916302, 75643306], [77476591, 52120459], [60615564, 76467712], [21754219, 37468981], [29778931, 41496368], [69612599, 58090419], [58052313, 94701496], [48838678, 78524640], [8748602, 98912548], [86745773, 13878054], [92182193, 9000850], [30388311, 76630369], [79622995, 15257367], [35432680, 25352408], [74776629, 46035499], [80893142, 21377739], [85426415, 89530391], [39843815, 71170596], [11570933, 29571231], [81627584, 47673930], [39099044, 64693228], [26609170, 45492509], [91178870, 57759994], [91566363, 51784701], [52775074, 77935325], [34733848, 83916170], [91481671, 75269245], [39562352, 79747335], [72756294, 94774906], [57173090, 59161438], [45141881, 86346295], [78001755, 7725177], [64217647, 42016784], [74076051, 98895181], [36371743, 71782094], [99232271, 45497164], [85856414, 97187689], [68058302, 91059310], [75480478, 55185195], [13412429, 69490578], [54819141, 23442148], [41589994, 54822075], [64352063, 92484254], [36900272, 77856400], [59567886, 66010588], [99834546, 81448306], [58338528, 31142369], [17314132, 78457648], [22671549, 87609807], [67738586, 61128609], [12222199, 37715767], [76691808, 52015000], [21792848, 62354254], [93955693, 32140422], [73869579, 41327502], [79545995, 9857603], [74953215, 19387655], [69658657, 69802242], [21711705, 34076963], [37315210, 4086711], [92317479, 72321618], [69938226, 81365132], [26652358, 24320327], [21026967, 33093870], [51228326, 86487281], [37413954, 26468153], [14432467, 1438071], [20761157, 30699803], [57657486, 61033505], [73400417, 72858258], [78046268, 5264083], [3065218, 36208809], [23921787, 66290319], [49234962, 34720734], [25142672, 82427797], [42049417, 89514510], [16425866, 48608817], [81903425, 10088984], [2315572, 56440986], [91605064, 99729365], [37271497, 2326719], [41178602, 48761191], [43796287, 7551060], [93487855, 53917684], [22191432, 82629312], [56962389, 61022758], [76898108, 31242078], [85215474, 46682187], [29152105, 72121729], [782986, 46558974], [32258893, 10650928], [94664518, 65241214], [31784014, 66843055], [71453708, 80750298], [78487581, 48604267], [96579438, 76185328], [59613747, 75709394], [73434654, 14235022], [57755819, 53117881], [12501126, 38154129], [45430814, 97158957], [73700508, 38205431], [13964285, 44342044], [27713828, 71154471], [54959572, 8184738], [79540206, 81715549], [89000801, 35568806], [52235378, 51007500], [30325055, 68393239], [74469119, 21820678], [81944050, 86319554], [44130826, 220494], [65976028, 46616792], [81422020, 96332570], [2738034, 8762445], [18709056, 67529524], [13939406, 1739992], [85964374, 61566112], [53759846, 58405619], [59273435, 78147045], [85155338, 56267690], [60135272, 94941535], [88948493, 16108373], [31225581, 89272290], [6194286, 94491618], [55611903, 78863351], [13610386, 63440741], [97596004, 62854743], [28657814, 36757284], [14824651, 53485958], [32682962, 74377920], [10721376, 20333603], [10861444, 43767817], [64451852, 6849071], [67932078, 65564818], [76670362, 63562721], [47007127, 96583306], [63676605, 70775099], [896554, 39004056], [91533577, 65527046], [16824007, 59906966], [37736669, 42962934], [11958032, 35449795], [44895353, 66657190], [4541681, 22322053], [92621091, 35735061], [34455539, 63689588], [95933381, 232503], [21151172, 99308192], [32292379, 25513116], [44206438, 40526039], [70980178, 50605866], [39973173, 31901179], [45265061, 62835643], [47533281, 35590474], [23186320, 73390682], [58638907, 28711287], [73955703, 2121312], [55959047, 40247895], [69754571, 59762898], [60396479, 78598255], [57481589, 14928284], [64167196, 7979924], [71135356, 1560895], [86416182, 99636069], [92874439, 47565696], [73371902, 26124426], [13014601, 81301219], [99852724, 72205641], [1793655, 20528345], [71694056, 3641952], [47730378, 27742778], [27102241, 94647311], [95020267, 62047377], [82754010, 48886162], [39312965, 37855411], [15838612, 52798286], [46549574, 91471889], [58763426, 20109581], [21974177, 43511074], [72728552, 14225849], [91829135, 6358460], [56104575, 32825716], [20237597, 70009347], [5982197, 76699133], [85694249, 41068493], [97001436, 5712004], [16802425, 70149896], [95579189, 17555510], [98436094, 53733685], [69427143, 83076310], [59686842, 89243255], [82973303, 12600088], [60725352, 2767393], [8242093, 22735695], [58732840, 10141274], [18650867, 33759709], [21619099, 58307424], [59193645, 81424171], [78469819, 4624186], [69290633, 79357079], [42417714, 78064171], [60136722, 93209113], [56879140, 59071222], [22629172, 22553355], [99208000, 84638068], [16186455, 47156964], [90934427, 70787171], [80242002, 9276198], [42509238, 37486843], [303661, 53473313], [29229947, 24347186], [66266135, 74850068], [4628516, 4544940], [67749793, 65919200], [72262594, 16985015], [49940152, 73388480], [13775851, 26003725], [61439814, 57591453], [90009261, 45391761], [66544879, 32912991], [39300303, 42843951], [43557092, 2859464], [27422226, 35721860], [52669485, 23156331], [50008636, 44698234], [57835827, 94334824], [62798647, 13743335], [74372295, 93769692], [57672634, 85189174], [72305972, 9902612], [59885952, 48432134], [53494042, 9344556], [44494567, 59522976], [95395871, 54322451], [99134524, 46399974], [67498072, 67301688], [11372452, 86354545], [75038705, 41403809], [5779677, 56520989], [78250660, 75251254], [37268558, 1652259], [69922358, 82152023], [17454936, 35710001], [92385428, 12666593], [25609837, 87700228], [37037667, 97030157], [29349155, 80488475], [86826177, 28709771], [55740470, 82390230], [77523360, 15406339], [3057882, 40221102], [9954846, 69119175], [82250938, 10532506], [82399057, 60309124], [19264006, 12099888], [60729985, 76606573], [16024011, 98400147], [85799789, 88704986], [89623063, 93788824], [22238510, 24110508], [31600676, 1585429], [38444523, 61282824], [23213594, 31168306], [93813813, 70600941], [33325015, 30221000], [98440421, 64033560], [8956334, 37929513], [22850871, 1870642], [34634641, 77603901], [79615907, 24794607], [49432723, 76376035], [73285330, 59903770], [59361823, 12945443], [77994867, 97127808], [41746130, 17185252], [54979884, 26640219], [18228695, 53667801], [64123897, 56458601], [17832699, 31010766], [13494784, 67407069], [35542350, 77424212], [50673908, 35747321], [80451483, 69163347], [32711807, 1937645], [82825278, 36299164], [53108247, 41745491], [38074675, 43694078], [68391746, 98792601], [68409975, 62659979], [26552147, 21489374], [28713648, 70959343], [47141828, 68332939], [48459851, 83225731], [94030825, 72964982], [76665242, 30208661], [18137106, 15243392], [4007249, 88886481], [17811174, 77587424], [36010473, 23107141], [61487873, 97380096], [31571676, 1744849], [43207048, 8311336], [32385318, 26311567], [23999571, 94284497], [45342986, 19449803], [55811301, 21057990], [82341208, 79040283], [18486499, 32344446], [18016963, 42578885], [21928123, 65996302], [5218539, 38006584], [77903458, 91658882], [13498094, 68396664], [92664731, 60019928], [37712224, 21723326], [50000736, 27079017], [32872930, 57346134], [46292907, 69709704], [38758298, 99842988], [23924133, 78820364], [59665865, 19320967], [48841350, 58763909], [65880698, 237162], [86843300, 48723148], [98954712, 70756757], [39665125, 57561703], [25243920, 31974433], [14836078, 79883736], [82686384, 32800062], [92597229, 1027021], [9619096, 1812711], [43662359, 77208192], [37313867, 44679822], [733158, 65325593], [94651054, 60666304], [80527633, 21610326], [48173388, 81801118], [10410465, 62807166], [80889650, 73131643], [46784073, 85996789], [64167527, 54674390], [25237939, 15669964], [97558646, 50489972], [45367265, 56899302], [68555908, 24683834], [73061589, 72128201], [75405376, 11546723], [51967163, 93834956], [95301088, 15139530], [84813261, 31860094], [85430374, 60022985], [29435415, 68797497], [24954649, 40720506], [10763664, 62641264], [46962740, 48383170], [43224085, 38671535], [47350570, 57364230], [12078456, 1829655], [74892835, 35571606], [25812977, 90971231], [64186111, 99724268], [83078777, 97906038], [12643505, 55468636], [3234277, 25350350], [20426300, 67934780], [63290706, 679281], [64187680, 78188440], [97338237, 48474679], [4917443, 24807058], [30050372, 51780739], [77591636, 75363202], [84052492, 9341955], [24978812, 1100906], [24873632, 55301736], [31522876, 20400556], [82323848, 21213662], [79686390, 21391627], [65902705, 18567478], [98173994, 42872184], [42250438, 33504353], [25337137, 94044113], [13907466, 60234231], [44073378, 45793757], [58581131, 94105201], [8696662, 75105862], [81824892, 32480931], [42408855, 7773649], [92041897, 74627709], [86630042, 71965341], [26152158, 26300760], [45038754, 22404038], [68435391, 34861728], [32840427, 90560306], [22154231, 35681181], [93074741, 83842021], [12571512, 187387], [16117935, 26020623], [65790091, 78654369], [48200544, 80296739], [88102332, 47808645], [51567295, 9056874], [66290822, 23180378], [38141406, 67953605], [22845706, 23861951], [78745925, 17703560], [91007982, 73572112], [74774942, 88293311], [45721649, 18181000], [87147669, 6218143], [2746077, 86047084], [85400972, 87863306], [82309270, 26943741], [53557336, 75224395], [85436906, 95142234], [39599476, 49852796], [51833486, 79679623], [83076353, 22671633], [80248989, 21062376], [37645835, 18284003], [1417797, 92522135], [46130494, 2332041], [66277921, 68053658], [25806795, 64989673], [15513706, 84993913], [70212826, 63354233], [83401838, 47184512], [90754957, 73867635], [16671633, 62042840], [26313943, 59917480], [87795200, 76554002], [54765253, 15989493], [39893390, 28634339], [67858354, 1726442], [38145679, 91491309], [44019873, 3796738], [34623062, 54597386], [43945589, 58785198], [71590622, 69276368], [82720873, 73035557], [32482250, 36795920], [87776561, 66230510], [46035086, 67057818], [95695839, 17415972], [97759124, 73012640], [56772718, 15496299], [36473254, 75455702], [63821870, 55469074], [75490335, 80151667], [54272402, 97048871], [12735654, 50395502], [96703481, 68229388], [94565577, 52832063], [45141277, 80052309], [99176959, 93576488], [40832986, 5783605], [53054595, 34964664], [1366937, 80804220], [58625970, 58754678], [21254657, 22896286], [45066491, 25029239], [42457200, 81729107], [22106610, 13251255], [3215625, 21044376], [90739282, 75249843], [89210689, 85415216], [31913880, 14666139], [62484713, 73414344], [19808050, 59304026], [72768505, 90202970], [11345796, 79342274], [13585886, 50190843], [80364654, 75659186], [92482609, 36329140], [67584026, 38843709], [49026870, 81177836], [12455317, 12217031], [121859, 97660262], [48730817, 57258464], [36163021, 88164431], [24022714, 89193104], [78286387, 31050851], [29799671, 63770565], [18461336, 41650859], [37976643, 82604843], [57879988, 25066820], [7254252, 70027642], [98821305, 7392911], [50438611, 14601233], [28815499, 26717365], [84171813, 217274], [59536639, 1692297], [35538147, 1736009], [40377247, 97332352], [38403882, 93755578], [36307887, 64427945], [50678314, 35396137], [33891679, 99538720], [28395028, 25981058], [87194785, 26076941], [38992545, 9893284], [82514472, 1561302], [70879461, 11961998], [65840832, 5560661], [66065224, 94389075], [94928160, 26801976], [60183170, 59345338], [95697432, 98587674], [28700572, 70792717], [84007242, 68620616], [29229850, 67625275], [13009263, 32111714], [7426042, 88971611], [48254032, 36057419], [75974131, 34764139], [43376123, 66194445], [88589557, 66731120], [93936630, 23814015], [61047544, 19790767], [8830664, 39196398], [89406467, 30201592], [95343899, 94386715], [28957466, 67847514], [62651814, 73493643], [70505889, 19225578], [31642252, 96572822], [97363114, 35336908], [18797212, 8309532], [75952322, 79905350], [75342900, 31545640], [67261836, 6121672], [84870764, 50280396], [26662545, 45970279], [28044124, 28842781], [93196562, 41287597], [85238289, 51607244], [10947463, 14417143], [63340462, 72146021], [51451383, 23203099], [74381394, 65122724], [44857972, 60951548], [97872652, 54084481], [67861255, 12047502], [72217901, 7775678], [64151920, 88564311], [50615584, 39717131], [38672291, 63779499], [52313794, 98849541], [81368800, 36494308], [89757088, 25616908], [61911115, 8142503], [82371309, 6907718], [90600654, 80997601], [40960551, 39840825], [23190807, 4532584], [56947594, 15015858], [2139628, 346028], [26544441, 27902715], [61373866, 66932793], [27940973, 62196557], [93634146, 95354419], [1585150, 37659729], [63525954, 35492818], [52956790, 48366062], [98182477, 24660253], [76961864, 34966986], [41527960, 91454911], [57793729, 69203525], [98686062, 56767905], [96677633, 81306121], [4994447, 46050402], [72310279, 25437541], [73996381, 10754147], [10641805, 13028258], [55688909, 64068229], [88674927, 32269940], [46649622, 26209603], [92558988, 86996869], [88959294, 27052706], [25116815, 30444889], [60177259, 37845912], [57416169, 250217], [95449662, 39923365], [22877957, 74844196], [31584206, 59530388], [94771256, 27852131], [38917100, 30761784], [73227436, 65894156], [92109938, 89945867], [11650987, 6618006], [19317547, 84500378], [21332688, 47726205], [2095777, 2407387], [83050042, 73788898], [89935948, 78271983], [22227284, 7631780], [82742666, 85871963], [5268292, 81803324], [55210719, 72237344], [58924163, 40494310], [48097527, 39583532], [23850242, 50693778], [52562361, 95838027], [67974922, 63482610], [1002744, 97024303], [48755556, 36319543], [74032905, 72298024], [21695607, 25654367], [12483255, 50482478], [60811415, 14524248], [71785807, 63840708], [39046986, 68847102], [49905558, 20459580], [66529432, 42383383], [55660568, 36528141], [3784798, 82431664], [81271235, 56965861], [2042088, 29465654], [57465621, 94933436], [35916318, 18699006], [54305883, 48136621], [4509114, 38175608], [22279215, 23899239], [31787913, 92994352], [42347697, 79583699], [98308928, 98212065], [10758601, 29072013], [63998086, 63712718], [73819746, 17192344], [630854, 72660472], [28444730, 95880594], [12753125, 23577596], [53501050, 11224337], [25315280, 50448448], [40202833, 79581888], [8247867, 8915413], [64941858, 46105548], [62727998, 90379098], [165700, 29688003], [34339934, 97676009], [51684652, 18079687], [67455018, 58552051], [15494943, 15106812], [9905760, 82228114], [36390359, 4679799], [71259012, 90188177], [73967773, 73542095], [5081281, 87479076], [22921605, 53869767], [60972044, 86561958], [63268468, 85172894], [19766977, 30713083], [31547813, 25227102], [13880566, 75856562], [17039664, 49862406], [40178576, 52381540], [23260935, 70416534], [76352137, 46915956], [20936592, 48960881], [96506131, 90109977], [9879321, 62229505], [14427650, 65346034], [38755892, 54508756], [40483732, 50271851], [44958123, 85644921], [74270785, 28652085], [60770294, 64628372], [44706752, 89616215], [35001578, 62134190], [15808174, 5228849], [65096651, 25499382], [57848266, 55271745], [76594692, 63417945], [64174256, 10902578], [74474235, 60194848], [95333839, 27850891], [71045455, 93192141], [944426, 29240901], [29780229, 9326552], [66852989, 90840714], [10385428, 42481778], [59659580, 39734433], [56160329, 93810600], [48595949, 93005933], [16203402, 27628176], [92961970, 76855616], [27208883, 8738524], [13803501, 54158840], [30876527, 59193236], [42133668, 57210848], [99053697, 60972416], [74989279, 28508593], [17962688, 79541657], [13593971, 74687822], [19259478, 24783726], [43308972, 58700261], [75661802, 51030109], [53359115, 43419258], [66963882, 6775119], [37151015, 81348093], [26825630, 79216153], [15134100, 52761001], [21959539, 49610632], [40450361, 53412293], [68679394, 46912225], [32437436, 76844963], [8673330, 75585278], [48970074, 85197297], [99571159, 87416464], [66596338, 99742390], [89580185, 90485268], [40472164, 59595498], [24067321, 27883003], [7097323, 61885723], [45750714, 80659489], [53523760, 21973210], [44314161, 83820485], [20123518, 31972604], [17368950, 10527523], [17016750, 81119098], [91263621, 89463206], [7220803, 49678051], [43729378, 41571905], [14785858, 66685165], [78837257, 61087244], [68146462, 38581296], [93815366, 97725544], [89457233, 75161188], [82995226, 67256215], [58044763, 45709645], [94999641, 67405139], [62837530, 8595279], [72873115, 56604420], [47078667, 83619990], [174153, 91550887], [25908597, 39309783], [63413492, 99141615], [48659609, 32878851], [15882661, 70650199], [38333658, 51487064], [72082840, 11364127], [28668830, 93737323], [33367022, 41472051], [45104434, 25713125], [62711995, 36290036], [36141673, 92636466], [66540017, 81947605], [15260503, 12098296], [37355540, 45760124], [84394000, 53893862], [35995396, 39457163], [15641040, 9960949], [3541240, 14093101], [79955801, 17861683], [52458835, 7010729], [80624861, 33427135], [30355113, 74089597], [12687944, 45930280], [64511960, 33899867], [52539321, 45477112], [61466375, 59280373], [69375084, 67348193], [75796422, 54686692], [39854118, 267516], [54081734, 45655236], [46866749, 67159953], [65984490, 60132338], [70752999, 52070274], [93461009, 18280025], [87605494, 76009044], [82773776, 29626025], [94293301, 42417769], [27480288, 96070869], [56335938, 5408125], [8810759, 23718635], [26036679, 71779363], [81934770, 87667282], [95201976, 91604593], [68868705, 47511325], [54046197, 8831256], [42121630, 46604005], [35056722, 94953585], [96469505, 37066979], [81967162, 69353384], [47195216, 7769333], [32653808, 87012375], [65035277, 12921928], [60357711, 76355589], [82301575, 80804996], [10652827, 85430223], [99249432, 19135230], [37519878, 38560001], [4861940, 91085305], [94259766, 70565156], [11122608, 80854788], [45042027, 50259476], [33369270, 7082068], [38288344, 70474789], [4540294, 64875730], [85614885, 99804258], [12935053, 55975570], [71304916, 79976791], [8104711, 92163763], [73186803, 74584376], [72543079, 49601204], [65759637, 92675143], [98232058, 11008689], [51688504, 34578829], [42748464, 98344514], [73671913, 87685122], [55141090, 52802212], [5063614, 41931744], [63199546, 12629857], [27932969, 93084404], [36782045, 44048456], [92960555, 78476845], [7828157, 52751105], [80389390, 72651419], [6255507, 99529083], [44666397, 64726973], [50229478, 63454125], [69733830, 89642073], [66755490, 97032104], [80955680, 40157927], [37361720, 93481958], [73799034, 6805182], [919593, 95314187], [15052105, 42436097], [94271540, 78119523], [597825, 59134782], [96189306, 7953211], [59600206, 15108569], [60731799, 12983459], [28833322, 92370032], [14010959, 97316068], [44728092, 96094261], [59733872, 21938044], [47748004, 9893216], [53244649, 20356069], [77510606, 71150252], [63886442, 4710142], [99848989, 3813239], [96972355, 88481187], [70971928, 93200798], [49821808, 82436130], [59407024, 71586613], [1632883, 3224985], [34501020, 4520133], [81864422, 99497664], [95199950, 90526432], [63542363, 32179353], [39312333, 78488668], [18130271, 70494531], [38002316, 34154572], [50680561, 78976734], [17938136, 18861685], [52333798, 12575952], [33018282, 48309260], [17673369, 53806096], [36819495, 5775403], [96105130, 48176699], [47244676, 67551540], [41516138, 39103388], [42630906, 67151655], [33311314, 59072795], [20358032, 37327813], [48216215, 76417828], [28846684, 78033184], [85057805, 77099287], [13622490, 54157594], [58888254, 11654399], [53834757, 21057808], [43464836, 32458234], [91115213, 80927504], [91991203, 34460171], [33406507, 21508884], [54459724, 41851561], [13198942, 2707419], [18085640, 96744072], [70108331, 73166481], [89528623, 31907484], [87438811, 80832207], [49186707, 3981882], [43872267, 80066427], [68593348, 5850041], [11468855, 11169829], [92447482, 70549568], [36058113, 79903361], [89762517, 34807802], [67557454, 75188810], [79128933, 78351656], [54467016, 61308705], [68173556, 79842780], [64021720, 26391470], [8095780, 57870284], [78948637, 25753038], [62040429, 27242667], [69954535, 9551954], [87690510, 18554313], [80139031, 18303], [78459691, 99585780], [84214691, 99716372], [78562214, 80648758], [20619344, 62027955], [70616769, 58639588], [95192181, 97199249], [32281231, 40458594], [35978919, 63217221], [81717367, 77559156], [93219066, 24880071], [94864577, 62844600], [12606147, 22847419], [79976629, 53799312], [84907389, 80056767], [90944165, 65839021], [50901311, 82098540], [86681751, 42536057], [59235864, 28055135], [28917252, 34588262], [18421982, 67335573], [33341538, 72094172], [95978262, 48530427], [19772111, 27560182], [56046592, 90716815], [61816295, 57174638], [73746500, 497366], [87502915, 35417491], [18824248, 38357707], [88139153, 66915933], [5691919, 68432870], [49165037, 96980145], [59770936, 43971701], [40993670, 45166132], [14154278, 45727924], [70680703, 1708001], [57381917, 91794994], [94482531, 42096639], [47985566, 61747513], [64565667, 71427896], [65634804, 2523534], [83705397, 91705364], [73810452, 70739691], [82935297, 57991433], [26762883, 98397746], [55218607, 92887113], [27427952, 31379765], [85643797, 51982457], [57007034, 54416222], [99369628, 62431606], [66467547, 33772027], [34694267, 42415160], [11120064, 46446187], [61615127, 78938070], [3044073, 12194761], [5189851, 68424740], [62859982, 22473377], [39238440, 5619634], [74932543, 39440341], [13645589, 96280853], [9842878, 24811764], [95512131, 37359028], [42267240, 11516756], [33766506, 76486469], [19979031, 89269628], [46315731, 51753056], [90750637, 14204286], [49676808, 83110323], [57662541, 22168134], [55817709, 22550888], [38296581, 374904], [61728323, 76773383], [4449994, 79530511], [58454431, 18704713], [88280094, 96143752], [48069213, 25693078], [72870135, 31611730], [32902296, 50412395], [54904470, 50862261], [73105833, 82540121], [3583701, 58670907], [79321765, 5152669], [14896235, 27584376], [82712506, 89785915], [18441255, 51991370], [88677660, 21677423], [15947411, 17334901], [90587071, 5948149], [82089484, 34774228], [32402402, 30534250], [67111442, 1583010], [13260651, 71492678], [2302797, 35143148], [47223885, 10641331], [83511898, 10917775], [86339857, 72647848], [63186128, 59184442], [91186237, 13900768], [2207717, 13968961], [55351529, 47153810], [57812587, 60500483], [96298078, 53069024], [83492646, 53272326], [22857959, 90294086], [34957667, 52662009], [92216465, 58446031], [51166065, 42666854], [81380666, 71694819], [8520101, 86415470], [40987510, 13561679], [75876717, 58291965], [88020998, 4116832], [39960190, 16720184], [79360584, 69488528], [80288484, 90704004], [28256396, 18948480], [13893924, 19333195], [30362600, 59052002], [89401953, 59964290], [11686019, 76746426], [36412502, 66539268], [75658526, 74866270], [15162026, 76765672], [77975740, 83400780], [73335409, 77499959], [17120199, 50700197], [61349047, 30862188], [34447714, 55649570], [38172372, 84766940], [15599238, 87912848], [86279661, 80974753], [74687694, 47234036], [76732680, 47635862], [64824400, 55012373], [15453592, 54809937], [88648960, 8546810], [66032379, 98111900], [42054229, 88440735], [28946198, 69247997], [70504401, 14748180], [59086826, 94159492], [57737853, 10457782], [93750780, 7368217], [4781998, 15149068], [87725824, 39019750], [95548518, 55085976], [87683144, 72730043], [76601104, 28184106], [3188601, 30702744], [26413002, 32148141], [64496583, 37342153], [53411167, 22016935], [7298063, 29742498], [52388472, 10023341], [3563554, 41570195], [23818872, 71494200], [1219915, 11526073], [20004545, 45843603], [72817390, 7037364], [40217661, 89887490], [19827738, 41167768], [80682996, 8461021], [70642548, 66126200], [67259190, 24993608], [4419399, 94455642], [35616367, 6956444], [91518084, 66560734], [20066145, 42906740], [51571616, 1634429], [40555983, 21339874], [82160807, 39527386], [57655034, 86616966], [70875905, 17434505], [27387855, 44537568], [97427580, 25016058], [25276979, 35138566], [16866492, 63513171], [92124205, 86562155], [17665134, 5387683], [53327524, 79007368], [4758196, 85433358], [63503526, 50905585], [89282637, 23931770], [20123252, 92475608], [53029370, 68703520], [25595218, 87588047], [77664227, 50458573], [75317012, 61419897], [8299012, 13318959], [9959912, 56604382], [77203399, 73748838], [63458276, 88426141], [79895528, 96274422], [18659827, 66247965], [75097744, 13986827], [9499785, 12355218], [21119418, 22872343], [41032646, 50356184], [1254311, 55187532], [23758400, 31559873], [43846993, 58199285], [44677317, 62777804], [70913824, 29989052], [29196229, 93594590], [39181630, 94951239], [28551225, 44057579], [21491642, 10225967], [13138026, 8846975], [49027555, 98887488], [71166508, 47962432], [63101838, 53225380], [31068148, 21138603], [77630040, 29372388], [90677772, 31215708], [53661215, 9159542], [68201250, 74684709], [48040046, 2393384], [59523342, 16221172], [84325320, 18881118], [40094854, 19783785], [43650118, 65574357], [27088447, 59391744], [73751257, 17677338], [38380002, 38647352], [42218013, 14361651], [215958, 27171863], [26499323, 7301513], [33409123, 59005964], [67130692, 5472607], [95513451, 5846652], [80482807, 17932643], [58294435, 40026159], [38093586, 67243184], [59275253, 31198068], [51624805, 75235481], [95228648, 70600890], [5170683, 82887314], [45625281, 2124862], [29414268, 3783930], [7928796, 70981468], [34357806, 171116], [97905407, 80342236], [79153512, 13722334], [64668607, 1572782], [28536117, 92999017], [95902220, 25492399], [83328116, 23800425], [21730390, 11483458], [49155857, 17131099], [13158200, 96722444], [55130191, 11427818], [11987097, 11713022], [19579083, 79953529], [36629545, 94325915], [83107710, 86956232], [56504388, 64391348], [62024628, 63225700], [70457832, 56840941], [64945774, 67097907], [87111858, 53844535], [58460330, 48137722], [16371721, 87635961], [56983574, 50016219], [49827819, 96842446], [27642857, 28505150], [21394139, 8926153], [61479270, 22877081], [64998266, 9951624], [86687778, 46188753], [41097225, 56926461], [76264473, 79821893], [77994863, 102137], [34455716, 63177369], [39815322, 94062650], [59393166, 41654314], [35677154, 97168715], [88196465, 27054505], [91470513, 3174940], [65276534, 2587444], [16359141, 50895504], [63656463, 65966814], [87675064, 83056571], [98247515, 29381566], [49164206, 89017059], [43102623, 39040035], [46170132, 65030937], [82193269, 1268880], [85649465, 81856043], [32628974, 9783047], [64045232, 55197845], [51036884, 34891721], [55738740, 98222484], [76955782, 62339492], [52383330, 19488823], [41557044, 88014735], [27624798, 40278697], [2938193, 68609880], [22800022, 44889242], [56259598, 57099164], [437696, 84437384], [36253746, 52019247], [36118188, 46264210], [57766188, 43981721], [79207205, 36497301], [74383027, 71488679], [38737686, 60153788], [93354980, 85348167], [32119665, 45796834], [84962938, 30986307], [84539058, 62520688], [56169323, 61191608], [44061331, 479758], [14372254, 520137], [7345100, 90747279], [59537415, 21270483], [45827719, 46513789], [79815088, 88830631], [33687473, 62914926], [5487118, 96249825], [42738010, 71496497], [38944310, 34837408], [14999772, 39883179], [10071257, 80014005], [57025737, 14622022], [95534972, 62996697], [4389038, 30763570], [50781451, 18244509], [23240087, 86890918], [42311692, 65777750], [29888947, 27550271], [45226894, 58117841], [33800835, 26838806], [67967628, 88211263], [50443935, 83074522], [19041783, 11941942], [8245693, 55129224], [44584564, 72428540], [62507692, 93936921], [58396782, 96438358], [60847832, 81429206], [18882041, 61214897], [38538843, 27842347], [8250707, 11855283], [13281739, 10794647], [58426120, 63945281], [90828623, 72026301], [35824091, 87855079], [99082861, 55255644], [16709969, 41206320], [75090311, 47038870], [91071415, 20052287], [72177138, 36552711], [93058650, 43301743], [54166781, 15705947], [17690392, 73392237], [75506202, 66992956], [38905896, 10436195], [18984715, 13278728], [85504494, 82019024], [58524093, 28297565], [97080896, 99879325], [41972563, 97894783], [57367146, 24060107], [69259182, 4289729], [77323035, 19532441], [51631384, 63806524], [24313602, 61391045], [47369640, 66540907], [40365770, 61789009], [63252155, 13918522], [53578447, 38309567], [36735133, 30601634], [35518808, 74698338], [22448368, 15262409], [75932664, 14266829], [92622340, 77151745], [11071155, 62402835], [99981133, 21780219], [57719205, 16316646], [21853387, 70879158], [60539718, 77824918], [72142870, 43091556], [82790567, 90564399], [76573095, 13864140], [171361, 91370248], [9921875, 92397604], [9960662, 32524239], [11557262, 84913106], [94560796, 34096597], [91880279, 74965778], [16582904, 48746736], [28156169, 98831736], [74557518, 10781994], [34297162, 49211976], [65893463, 67827112], [42827194, 66926819], [87263214, 73143190], [99604356, 73694940], [76165477, 77157767], [33034944, 96028660], [52211423, 84722303], [36054072, 23267157], [95270066, 63521519], [3315930, 45685138], [33758290, 61663074], [96803379, 46573615], [77231410, 11319105], [1315109, 25022638], [58403779, 67709055], [61304103, 30891918], [8360816, 58151792], [5450831, 83133665], [79125573, 23541728], [74977507, 14892043], [92059078, 56477734], [5241343, 83499509], [40179544, 31425398], [1774306, 72480156], [1825791, 92229025], [59637312, 61835026], [80404490, 15046028], [361683, 14058328], [49707846, 19019445], [55892574, 91627073], [69108616, 30064020], [94505422, 92893180], [33403016, 34389662], [21368708, 19673819], [29111986, 52261509], [11359013, 70275468], [74179568, 61338074], [72261056, 48044515], [57097310, 86882616], [39404071, 28917587], [33817401, 62751448], [39275433, 21803812], [57629762, 28071453], [49015466, 14756657], [25041652, 63176580], [86753827, 85200201], [38976444, 97519698], [58456357, 58290529], [62990548, 50132594], [56221699, 58293338], [56533313, 97477380], [30223338, 85609366], [40846978, 33620178], [83518376, 16855103], [79610122, 36394963], [42456857, 12372845], [76435266, 82475145], [3644280, 27621119], [8942799, 43757531], [84592635, 23824329], [47180827, 62112361], [3641759, 71970580], [98396541, 5287567], [31831269, 70934081], [60696433, 55034448], [8077252, 69318999], [69573324, 86809479], [95846794, 65511043], [73653113, 43176968], [34911413, 35289125], [80846805, 76730911], [57270049, 64007290], [46729019, 62047703], [40420667, 32834124], [35795383, 24737583], [47492433, 50216439], [34103587, 17803847], [75789826, 47828389], [38680999, 49545936], [77938368, 83569879], [9419509, 12238740], [68869086, 54867901], [72098529, 71647958], [15328936, 28737624], [98580459, 52433914], [3668423, 61316867], [13990353, 25643528], [90210129, 49743058], [93541880, 79975304], [79888848, 2872075], [67686381, 45201091], [84153278, 34732943], [97094084, 34844922], [71700010, 24944698], [58455998, 90372484], [36165734, 72990998], [2404733, 3372518], [94715281, 35197470], [55620222, 72159147], [63784433, 46193960], [3318840, 40746050], [34191816, 82256338], [50040042, 41719735], [23067879, 99675969], [55576772, 872979], [92645437, 28821081], [51027194, 44688041], [74589433, 23646354], [1728548, 69181149], [26636436, 25725040], [35298572, 9581700], [97932728, 21182972], [72611243, 21466751], [21092191, 21410235], [34750562, 32524148], [40536200, 18847700], [1955104, 1156062], [74129704, 11063522], [66539974, 90058024], [76360120, 74847705], [19759625, 80222279], [55780768, 7779870], [20409791, 2098099], [86372, 98772767], [89765843, 48130920], [80837780, 41622464], [39935061, 27136190], [98162563, 18638749], [91678039, 97535449], [93834704, 90011828], [5728458, 72524886], [34574468, 96170524], [33916746, 59773067], [21890335, 93870972], [47208543, 94711243], [95418329, 67691969], [93932716, 48865337], [33939068, 8152059], [2835139, 71078771], [40434118, 56817314], [84654450, 50288540], [49819345, 73259749], [94555915, 11027884], [96221191, 95171298], [48928138, 98612265], [83093510, 7319080], [35200365, 93957253], [55470810, 86406138], [26662637, 65670133], [23257628, 75297027], [80405683, 81167906], [91699992, 46742521], [45209352, 15746809], [17836469, 1845686], [64000932, 89054236], [75561713, 67826458], [61938656, 80010751], [23723004, 42866818], [75902650, 90960480], [40803597, 34535547], [1136217, 49390478], [72795430, 61291907], [6149342, 63589330], [81576476, 2726192], [60369153, 60049265], [33739713, 47449091], [50413295, 61885968], [6085682, 89929695], [17099309, 23943972], [43831149, 40794890], [96625548, 93449327], [32765691, 88591485], [29401313, 66474236], [63532748, 76785754], [28784350, 44319284], [16551401, 70446952], [36679550, 39021028], [37251478, 65260446], [68250096, 84874180], [14531469, 79549581], [28242610, 71297201], [41806002, 85608298], [38709147, 66093302], [44055136, 95680924], [55909816, 45128536], [87756895, 49452184], [50731649, 31782064], [3577533, 188401], [66765643, 83610381], [27784184, 4565782], [95980106, 80626226], [30537704, 18033565], [46203326, 62759420], [80961110, 38402454], [60229032, 88276421], [91231345, 89592268], [73844133, 59239424], [36014016, 28182204], [6445395, 37411513], [68068336, 62865177], [639084, 87034893], [35936303, 81820929], [50528085, 30408571], [54285920, 60858260], [78524785, 1029926], [56659898, 65420421], [19108773, 83352100], [4377689, 38392642], [67144099, 19232454], [69429146, 19198457], [6739544, 57462255], [71158888, 35522159], [57542146, 78633969], [92129383, 21282565], [86914303, 53219050], [19470962, 64205260], [54197794, 867481], [5408220, 39178714], [97383346, 8186738], [55367836, 67908730], [14166984, 13230118], [49428476, 91747265], [45128735, 45389289], [64106742, 18379129], [9813225, 31859836], [27742077, 44687590], [58451929, 11850500], [98760779, 55892059], [27905276, 30693005], [78892855, 79380693], [21659187, 3631191], [24414509, 482767], [44996283, 30878452], [45832941, 44220340], [87189173, 63598274], [1506014, 99452872], [11493402, 3110175], [41689330, 27460303], [10207751, 7748047], [13544221, 82379713], [645657, 94808503], [45482411, 51195875], [83146667, 99170525], [78807164, 1055210], [44170728, 19467432], [9664409, 77096238], [57653723, 61568828], [8744505, 81705775], [83007364, 48424341], [85392403, 75220726], [86526162, 52833346], [76465078, 38641341], [43521219, 72549359], [84719671, 37458069], [41693984, 6395408], [51785633, 63480269], [1240313, 98219042], [47844828, 38892292], [27280621, 81242449], [68567415, 20507393], [19790018, 96755491], [64424821, 5621932], [20351420, 39508125], [37372978, 78761255], [91112408, 17851903], [93343788, 62225224], [70813221, 73048557], [77012856, 60304082], [70498118, 66895615], [37452039, 65183400], [4249910, 88361313], [89924560, 56123080], [90800516, 22717399], [49860270, 54514305], [92354367, 56922081], [85725416, 21299726], [83470170, 54985983], [41273675, 77959082], [81199956, 41883347], [26423813, 67585673], [48002975, 35942997], [77707214, 5238339], [53431157, 54932043], [4048702, 94789670], [58897002, 80464443], [21837331, 42930492], [67622588, 77976545], [22206314, 50442537], [29768752, 89471469], [64842462, 72690887], [79341283, 96599273], [93815451, 4269056], [29197396, 41362043], [5924023, 90852548], [58672124, 46513774], [32206844, 25027083], [99858598, 53352732], [39734995, 78552511], [3592149, 69512712], [64094082, 77294220], [10222067, 3563390], [2784657, 2690137], [48574716, 90487835], [61403314, 59693641], [71896628, 90624207], [68918106, 61922970], [85036831, 17359577], [44712481, 67970603], [11485594, 74117163], [40654351, 60313985], [60864581, 75838661], [18838918, 78445971], [50915995, 51458359], [19313479, 958200], [42168451, 73978157], [42758926, 82047648], [77483755, 38727963], [38526138, 72246667], [15685971, 50902903], [81979675, 59066684], [33090979, 20785497], [96223960, 1285632], [14207939, 17156008], [60867916, 54317132], [43445465, 28848636], [19157014, 61089157], [25493195, 74964497], [91822423, 20672156], [40352989, 76779807], [43435700, 83451599], [87346652, 47468054], [282860, 95345913], [2293317, 23085491], [5208386, 47100498], [81241673, 34391800], [24439633, 80921437], [86624535, 88021954], [58658362, 38441189], [74554249, 78730841], [18074967, 51438156], [78160911, 83687740], [96360345, 27037884], [11125634, 18257257], [37474158, 89057098], [66309908, 51200301], [4123781, 7016896], [47960799, 18424802], [16131128, 58363473], [88104326, 82494562], [50104585, 21476146], [86598989, 33979243], [16201270, 46573427], [41498534, 49772578], [26163410, 36813001], [83355517, 71239814], [45728681, 90273133], [87882945, 57490775], [66975061, 45384535], [82931287, 21648243], [18618604, 56526400], [78657177, 67531746], [44120125, 36174243], [60339540, 36846357], [24495382, 55374826], [58276802, 94991600], [19800664, 50141980], [46685976, 7807494], [83719110, 83920394], [63452754, 85749051], [19116759, 59907978], [71494576, 58415994], [38546502, 34063567], [49911095, 73209492], [34227700, 18195892], [54332826, 49912150], [51697244, 39341048], [93384070, 24465651], [63865700, 29474219], [56336251, 67510590], [82884451, 41015425], [85644263, 78235255], [23138846, 95973463], [16492851, 97427753], [60055418, 87698136], [61361731, 8829662], [92452114, 37284718], [42441587, 49102657], [86369453, 32126402], [24354054, 89687714], [43065113, 31646250], [965907, 4863635], [13630721, 82311148], [30318421, 56752348], [88976126, 56788505], [65574829, 32974549], [27362999, 95506679], [44147824, 27849972], [58108817, 7146930], [36303790, 24978866], [79001414, 96036090], [64594496, 59530762], [30009807, 62772105], [33405480, 70507831], [20836848, 88499089], [69321215, 3045406], [6889822, 62742588], [66570197, 21426658], [47885864, 60506455], [12033437, 67715805], [30170257, 17308321], [13167233, 13091705], [45960781, 17051143], [84509345, 19718480], [17683229, 33715084], [48732070, 54861333], [84563389, 60453711], [46898071, 75823676], [56423888, 23926256], [55823638, 55958656], [24100885, 73098821], [38073781, 27526518], [97048239, 55820279], [25563307, 43188311], [21625813, 14161108], [23167648, 87817084], [31913002, 96911047], [37589459, 87125501], [85613209, 81983725], [20392893, 33608600], [78742099, 94001195], [59287674, 27060298], [2268648, 70389397], [98796296, 890968], [8826164, 56633275], [29680452, 39062213], [18281056, 6287335], [74495872, 81640721], [85942485, 48733954], [14259679, 75677308], [66080792, 28102755], [90419156, 24706170], [42254439, 89587437], [29184266, 59675667], [77678955, 53224631], [16502947, 72146271], [23509469, 40067127], [57951341, 76826015], [82934893, 64012283], [79359340, 38854535], [43751351, 87343175], [36264078, 37142569], [80289818, 71547840], [47037878, 3935409], [84858646, 66796629], [27203159, 74164830], [86834512, 23734943], [93451223, 6528524], [51159443, 6664814], [12701722, 66288925], [77306151, 67680129], [36772244, 72210959], [95396680, 64319092], [34175446, 97434216], [75250461, 2713821], [34431940, 8442808], [37861231, 75448316], [66628262, 95154188], [5955041, 96952521], [70742803, 87682298], [62778174, 40437711], [41354398, 30590797], [76502828, 86387881], [38306866, 50024781], [79349830, 71944818], [53053564, 96334563], [26100256, 61252324], [47331493, 26422153], [86068938, 6917177], [14993145, 1808426], [25721287, 67765678], [86773898, 79063634], [11684880, 93275953], [32247224, 86223276], [58174578, 4199301], [82248587, 1022647], [77072907, 4263324], [3109672, 90098534], [76268375, 36685674], [17735163, 50380865], [45073048, 21174919], [27144709, 4996439], [62918025, 58061195], [71546466, 11117592], [57772318, 45730451], [73989172, 29298259], [50511828, 4544869], [70910469, 69180304], [44787707, 52563810], [58618140, 17209383], [83828539, 54964489], [41164842, 24449901], [92658926, 27668452], [28600274, 66477773], [70057408, 256797], [53572787, 95757786], [99739784, 65070495], [88468270, 16005198], [86986796, 88021722], [624993, 27115528], [54800848, 93030287], [40463748, 77758396], [32496122, 22069407], [79777923, 85630335], [9547550, 54203319], [29417577, 23387730], [93025604, 37268223], [26334538, 97193692], [75424416, 31103867], [79035725, 76068076], [64842730, 26469634], [21990220, 43543343], [22401838, 34841074], [11116658, 92405216], [44257450, 13203144], [11531458, 25597542], [53780599, 74966437], [56436260, 95144942], [70475876, 14490692], [76437034, 20466809], [42791510, 11154917], [94191298, 48189928], [2708240, 66630971], [69790481, 5728552], [60763051, 41244875], [62798260, 38880983], [23372514, 98417895], [56747635, 40475037], [39988482, 56276846], [22435243, 56518806], [65091501, 82684543], [43947087, 95228682], [1027356, 32918468], [50806663, 4358131], [58873061, 56486388], [18507232, 81981918], [66557688, 25506480], [89109211, 12971116], [94529319, 99730036], [93862934, 71001040], [41863156, 94938588], [21023784, 89463630], [51324344, 44516184], [73223492, 38555281], [26557899, 71856457], [17655231, 32305309], [33509622, 71214377], [21657488, 47375118], [10671113, 42791435], [65180964, 57637787], [45594409, 73311687], [88107820, 20301398], [29946949, 56762049], [30859199, 61020421], [98747324, 96322193], [72434876, 76435294], [73143418, 76881457], [29284862, 1764106], [24859974, 7646458], [62925700, 14590259], [31086922, 97032626], [3427579, 81507888], [20687093, 18579938], [83563035, 26341928], [80321843, 26235271], [6523224, 44336919], [85200327, 54700832], [82083519, 33387150], [51430836, 53734542], [66216900, 37125810], [55451112, 81531423], [84019357, 66716452], [87107759, 55064070], [62461616, 51536822], [64476531, 67794875], [78980950, 60351941], [94446121, 99193222], [61326899, 62292787], [33559778, 22185272], [6541400, 97586336], [7318859, 96849110], [13399898, 35505615], [29384275, 47790579], [20438126, 38262853], [85798005, 65416063], [71243607, 9119266], [20012858, 36192574], [46950338, 3967904], [9716375, 75675565], [11277547, 62111141], [83071103, 24101361], [2002749, 46902135], [4835621, 1137806], [20129177, 54230670], [18087340, 63930340], [30677699, 8726755], [19790032, 40986828], [8000204, 17325040], [52477166, 1482008], [28479896, 3757475], [76529178, 96486543], [41820022, 56528305], [27525133, 29268832], [76914221, 34809107], [76899480, 23328434], [41671403, 1849885], [8641046, 98453810], [67140373, 45800575], [3706586, 76622985], [38025900, 17817560], [12820402, 83259810], [64614497, 24279520], [54802187, 48645124], [34658546, 59117161], [50622505, 42750823], [12863452, 97184621], [36412183, 17502594], [39098649, 90271915], [15226156, 28233559], [58987681, 64780778], [12697289, 12593870], [21578262, 9992762], [51974006, 23986684], [37946368, 52752028], [72278658, 50416251], [32574610, 13843806], [75061248, 28359078], [39982338, 34721859], [51887461, 89297772], [25243109, 448482], [85569466, 42320727], [54234129, 19189346], [24467942, 82538266], [50635065, 62592130], [74906390, 58966144], [52124016, 53713487], [79472967, 7463254], [62159907, 56713642], [45630172, 83983839], [26230673, 50812277], [23064008, 21753838], [36977989, 8580516], [49318526, 28746003], [69401007, 18716909], [23064817, 29125681], [6187600, 20088764], [82705114, 19971407], [38050381, 58478816], [56200995, 14115814], [60179201, 80779287], [22465880, 87557335], [35055403, 56103927], [49668365, 43760699], [66108660, 27936449], [98491127, 28933634], [61853411, 17202584], [54706806, 56487808], [31092730, 59220765], [88239842, 4181797], [58565946, 268796], [92518187, 36418613], [32194308, 89327142], [94884093, 52187296], [44712816, 83726582], [94566991, 38813403], [63827092, 89943851], [6128319, 50477574], [51169780, 28642099], [30441522, 97285038], [60907420, 43715956], [19888397, 26744212], [30070300, 61170928], [10328704, 87147247], [40030819, 87263182], [43693077, 85678210], [76748480, 30535736], [94582114, 49613701], [52375336, 79301672], [55145473, 98653088], [75368361, 65368854], [70953351, 91854759], [64386112, 53324598], [11897680, 93943029], [1824197, 71362302], [33460166, 59935845], [31858076, 31747575], [43423988, 17661701], [91597948, 5742883], [44695006, 16923048], [92404141, 29329513], [96771320, 9703694], [21597534, 22444931], [56842915, 21066236], [1001266, 27434839], [14511485, 58304391], [8270880, 12123587], [95368232, 24337821], [26296761, 1592808], [9371027, 9463406], [24135632, 67886829], [4609694, 26332669], [75759110, 25042780], [58949409, 45712703], [45341690, 60382726], [52941064, 79991780], [8184333, 12065777], [68941814, 22267782], [36429326, 94306875], [4798125, 90024567], [82949277, 48347663], [99098342, 41757005], [51575793, 21419715], [63241498, 250970], [54824263, 94298109], [48709491, 51771104], [35106360, 33384157], [48116880, 23757189], [19523474, 29864951], [63652586, 72331152], [4481818, 44648620], [52761915, 16111891], [64652420, 97912412], [89332082, 6924434], [29130312, 7419293], [34467454, 42274313], [15579547, 95743895], [71129447, 29651414], [99563801, 79600585], [11081635, 91899858], [98871821, 81590825], [19267031, 42871155], [97777642, 25988206], [85668512, 31826248], [74048860, 82334664], [29469808, 96446135], [95792500, 97106720], [24527734, 34030657], [66382263, 58774128], [83449010, 15230788], [21659298, 17277793], [71144296, 34906107], [45616169, 61339841], [41818822, 43139381], [10208982, 68764988], [48652861, 15057954], [95175511, 71128526], [80309115, 67146890], [39324789, 8080297], [75924561, 56973776], [3507580, 13942602], [3710604, 22053110], [49836231, 10673682], [40652851, 81928588], [84611671, 32922169], [34078743, 99081227], [7757127, 13407660], [89124113, 72256477], [5420940, 60700356], [12050250, 97527711], [46164757, 25992268], [38313806, 76412336], [69549798, 23748018], [70071756, 52147016], [62641247, 15701407], [46619958, 20299803], [40138785, 5311357], [96698577, 55506853], [76447247, 15604607], [55451914, 18090093], [46830298, 12989004], [20409437, 72727635], [86570180, 68658099], [56234026, 33053293], [48623291, 79254553], [5539494, 93987591], [73496482, 66335706], [57356655, 57233576], [92419379, 99911119], [14870495, 74236970], [96608035, 53514964], [16541326, 63924851], [30760002, 2063901], [98178925, 42754895], [70839121, 51327022], [32431727, 34232693], [1915044, 6163764], [54292468, 57005823], [3689310, 17037653], [69988645, 80370000], [96512316, 58907088], [49694438, 83783998], [37241999, 21943328], [59053977, 56430117], [29901681, 43736337], [85846093, 90963103], [93559524, 75124862], [40190824, 93188901], [74795548, 51087065], [64321168, 90890105], [48018351, 10880676], [1122931, 49730234], [65595608, 77718660], [24727662, 84417474], [42639565, 79973580], [74432153, 35472895], [59691088, 2866239], [86713601, 81859753], [69950236, 89896895], [13502981, 51268018], [53755230, 46369347], [59039580, 75596111], [38808573, 16416004], [45911028, 1763807], [26841729, 33604889], [26193203, 47887554], [34894293, 47508856], [58373358, 96363772], [34216266, 21958137], [79686452, 84200225], [65030558, 80103265], [20488140, 15403511], [94255854, 93673615], [71931344, 79060666], [39892374, 70894204], [22172589, 99802210], [93704000, 55680822], [40645257, 45552006], [85122673, 31674704], [56590147, 55835058], [60371966, 68618264], [11683448, 6054189], [56136958, 59260969], [75723947, 21641922], [85891208, 30173650], [37328114, 62108564], [77524381, 12254160], [70746606, 70719021], [50260583, 63453181], [81984044, 18932201], [44398338, 29694419], [53922929, 44085836], [69216395, 41790714], [76009123, 22565896], [70314780, 33419822], [77520936, 16884971], [19539401, 79957445], [28702671, 78584255], [62988468, 49695298], [45386279, 37266680], [51415152, 17755936], [98343477, 98640997], [38672182, 34849118], [51954059, 38485592], [20962242, 23399486], [68489080, 9706999], [69622706, 91458951], [54697253, 47082980], [46069349, 5550333], [6448369, 17621619], [13951519, 23750304], [71516999, 86267098], [43277072, 19031411], [73333821, 85706045], [22032078, 28041077], [45782446, 4467735], [41970455, 89401538], [46496631, 16860315], [36427189, 91595698], [55503089, 72852631], [58310379, 43138493], [67403253, 18353641], [10191538, 93197803], [20540640, 20420926], [28435731, 12607794], [23825977, 62182622], [59920968, 77369476], [47299197, 91204067], [87748748, 92289350], [64774959, 72255287], [60781653, 91066780], [10057970, 14626309], [69367794, 16158941], [64631722, 44127279], [94926737, 43313233], [73958791, 11100280], [2850159, 13470379], [40593914, 7519553], [6686643, 5242210], [89958489, 62450470], [96679403, 89016182], [76581242, 82775916], [69099212, 49214543], [75230012, 84588193], [71422711, 2429191], [35746485, 89091673], [96518324, 34941743], [93134767, 51689423], [36485741, 7925955], [34149720, 96470170], [60773168, 89853711], [34453830, 23493491], [8606268, 75009323], [92108433, 73074784], [57369066, 20609267], [78379549, 66577418], [47556641, 80290925], [33022269, 60966995], [41533752, 81308944], [47363327, 49305752], [83877153, 88120129], [928974, 13130271], [36140605, 49502229], [72816305, 79881139], [78382604, 16385060], [92133201, 49990691], [27227800, 59085749], [78729878, 99245324], [70871322, 54999202], [79956898, 53909049], [76971930, 57911365], [45517571, 84567857], [76921070, 74162553], [32321654, 22683456], [72834954, 75364460], [19095767, 33655789], [39775695, 6917689], [86873271, 42360616], [2574703, 22903161], [88422766, 50766903], [69278208, 52039547], [78292891, 88561195], [1024026, 85180573], [40482681, 10539905], [47638522, 24331912], [62953742, 41038556], [64633950, 74395552], [88888520, 42625054], [40331976, 64403459], [63012474, 64978748], [38244887, 84877943], [33285684, 94222857], [44976048, 94244280], [56097486, 55360127], [50511044, 39746967], [99550055, 1201882], [81337049, 80614587], [64631260, 33535214], [46660727, 28910741], [80419319, 63132887], [36640255, 68615837], [58936830, 42598501], [66077568, 30165179], [40421777, 68650570], [96356817, 31501648], [25905336, 2678201], [40158457, 30159386], [77762403, 28382637], [48592812, 67531673], [14015970, 89431953], [1530978, 82545661], [55489777, 4083672], [82789900, 72717309], [58729265, 327788], [54086642, 68128277], [35300472, 68592113], [89977168, 41962320], [48803372, 4196405], [36265306, 54661459], [40409217, 45036293], [17569608, 16865251], [9286534, 89910687], [41950552, 66140389], [36502649, 25040229], [52575242, 87818672], [90040206, 71043935], [1335442, 35646176], [65927378, 88458568], [50299199, 65869047], [74297393, 11410825], [40171026, 6528920], [13616722, 86281515], [11557631, 44045872], [49554065, 36558698], [91557352, 53113467], [4027918, 5801147], [34361237, 18530049], [8026875, 45932238], [18794041, 70116047], [6072397, 33319524], [68892596, 2331110], [26197118, 9607640], [19115685, 32966852], [44008731, 95657083], [60260330, 31794531], [97920669, 10526293], [27435826, 97006510], [3457716, 15569997], [62893521, 41800847], [45302271, 91471951], [20872325, 43746892], [46254317, 49846324], [2190334, 67512205], [49290794, 78392522], [38232153, 37975560], [13307243, 86192630], [97373613, 90333966], [24146793, 30783730], [44202657, 97964466], [2864740, 40960961], [93082948, 39196090], [30156475, 88840964], [24975346, 86924925], [52960887, 15124756], [82635512, 82704776], [1771939, 63159346], [37207466, 34015282], [39767831, 89076072], [43829062, 83098309], [41014494, 8088334], [47592435, 38153322], [47039684, 86226303], [93376179, 96265109], [60225078, 82112945], [48442391, 82204679], [43604773, 50767860], [55730962, 5091168], [88031612, 37707557], [8033420, 79326545], [5128569, 31041674], [57857594, 34659845], [95900538, 57920962], [3024237, 760149], [12347600, 74726278], [74474118, 17527685], [95136371, 45610829], [97453868, 3992971], [78394795, 47134456], [7323836, 55602426], [21705324, 99741776], [58610358, 3695367], [65602806, 48822159], [34290330, 97046428], [59665285, 30105888], [62601795, 29731057], [1465966, 59174043], [84398010, 54499555], [92231123, 14528302], [91815117, 49823483], [67470253, 52053149], [7023620, 23804776], [9382520, 68530885], [4437518, 61709901], [64066889, 49369652], [37564235, 56513931], [60573384, 79692348], [40803607, 27728355], [4336826, 46461796], [62390675, 35459467], [13186691, 66968217], [20797715, 5897108], [98818521, 86500293], [91818772, 52047186], [23607701, 32986396], [73660360, 61017962], [16559454, 56972634], [92686496, 18302603], [35363090, 44645627], [3720205, 57587578], [89559721, 3296919], [85283567, 19215700], [30900612, 85188263], [68415974, 94956082], [27205065, 2411798], [68648847, 80316705], [32743674, 66463190], [13372201, 77249377], [41871042, 26538377], [3401810, 77779238], [63817611, 89199553], [68294816, 43586260], [73010019, 86584577], [69212993, 27743734], [95507735, 55903044], [15884258, 320615], [25496945, 7064846], [10594412, 56613867], [59947951, 73814510], [24567143, 22815990], [52721371, 79707066], [71709248, 3590785], [23467198, 85424658], [53397676, 96989458], [21314552, 96301624], [49216430, 20914376], [96505508, 12883309], [1309987, 95630883], [18042196, 87725676], [41298753, 46151254], [63517643, 72263598], [14607928, 56669723], [88701408, 95008774], [70157568, 91299797], [11441357, 33289266], [56945471, 49057318], [52528084, 91216695], [80641319, 91250674], [15819742, 35838477], [16817750, 86952463], [29786435, 65586385], [91529089, 64649329], [88305626, 91499441], [57244407, 84140239], [97660817, 9345734], [28613904, 24536987], [67522077, 2843049], [16518712, 29243858], [57688112, 15465788], [83286591, 66502255], [78953261, 73539077], [19762729, 9852078], [23196635, 68788752], [75458415, 16430607], [92322077, 37552054], [74099931, 29549533], [28259272, 94997606], [22320096, 41731015], [93513815, 11032212], [66092003, 56385982], [98563094, 29137497], [25229322, 51896632], [75723570, 96950770], [67118815, 82676082], [78568754, 45479372], [16366832, 31743348], [80723935, 56174545], [61103004, 62777699], [79562816, 3381084], [91221450, 74105734], [81649768, 23236039], [63009277, 10528103], [39205257, 33190320], [26435170, 14309327], [64709677, 92994580], [19847798, 18779596], [23821277, 15773561], [37427790, 84957863], [59801189, 22427583], [89794819, 17847320], [27469931, 10743023], [91653334, 86152300], [39525229, 34944972], [23686823, 19208417], [41960575, 38102859], [41441789, 25842360], [32530395, 78899889], [96969196, 81218435], [12792576, 94040557], [28779155, 58234744], [54884609, 94089081], [38079692, 73945214], [65805021, 19706981], [69588851, 97612216], [90375706, 12189656], [78866884, 86060978], [12844510, 65752917], [25500242, 67305178], [84136371, 93321305], [19057602, 10130800], [12020402, 59656868], [90483748, 15874809], [90811522, 88928556], [36308451, 7852742], [86300642, 97386777], [10198462, 41980109], [70297708, 23907739], [27531093, 23868700], [69401848, 69282373], [75145924, 82894769], [73797842, 40193493], [78362015, 20926394], [55082361, 45083502], [64775179, 9802525], [41885974, 82285908], [51496416, 80138096], [62286361, 25917192], [37671474, 23207526], [20695846, 15385284], [61789362, 84885832], [47899092, 958940], [60745453, 51793195], [18478110, 48299670], [90171540, 19355619], [80217901, 71346864], [41320477, 642374], [37403469, 21058086], [11009180, 32307204], [74351256, 46091777], [9578932, 13982747], [69860698, 21402749], [53033098, 24257472], [61235309, 60112646], [97680545, 9615751], [65263401, 72246013], [93165305, 71720033], [55618947, 17695232], [53179208, 27988489], [19415147, 30855165], [31528779, 61391826], [98663765, 56750387], [55354689, 37727716], [68678469, 99330711], [56446753, 10531113], [72268327, 41085286], [68789943, 59605272], [50727876, 75370684], [49249586, 67344154], [9655405, 34541950], [97894283, 24112549], [86006335, 26642358], [29494827, 32073338], [6566117, 65814923], [51687877, 97881837], [15464083, 58475716], [27205990, 39647322], [60672026, 23164182], [10928808, 46392685], [68058369, 85945071], [18009059, 12943886], [55208246, 78370737], [91850641, 58549939], [66201286, 78179661], [90312421, 31085044], [48693824, 49168292], [30653741, 17109024], [46690600, 92760339], [61317955, 44031148], [67146350, 25938967], [98753582, 35729837], [22276732, 71388875], [45273949, 67731943], [59145379, 5329821], [66478073, 83587778], [44487098, 33699593], [13338074, 70204199], [45664064, 31255721], [97135434, 15783094], [95649468, 40372816], [88673402, 67647185], [16565113, 68089510], [13279154, 13207304], [86761095, 67773018], [8426053, 30073966], [61834381, 17786544], [39520265, 6355172], [66319842, 38739200], [20678499, 56111835], [68148691, 50376212], [16566500, 52582104], [31044107, 95320855], [41920299, 63618399], [91783465, 77206225], [44859128, 23796948], [74135516, 72982148], [87433075, 33714179], [6574960, 45297465], [41124877, 95427494], [85890018, 32208340], [3355733, 82639485], [52381541, 86453306], [77750224, 95047373], [7239941, 44284314], [65403450, 81058557], [91030527, 65703359], [27245637, 35833606], [26835635, 50465175], [69754248, 88429203], [29898650, 96002615], [87963276, 71429225], [85628303, 98335786], [33958547, 73760388], [54242582, 99632143], [40583876, 72094623], [45994403, 21883667], [46475437, 53125262], [35711083, 31030926], [79030842, 10779006], [41258986, 48685933], [84242854, 59668531], [97267110, 34014609], [18222173, 84422573], [66308261, 32074129], [5580120, 1447199], [2188281, 36785680], [99227826, 5191006], [82110302, 97340133], [10350347, 29565795], [88340904, 59158103], [56666158, 73931702], [43217782, 61018863], [72078164, 4886753], [23355037, 20947778], [86328265, 70997292], [32724467, 41342783], [68712492, 67815107], [39271895, 48256270], [50427369, 66611824], [31530091, 90905268], [26425456, 73296258], [43324606, 54844675], [12113843, 70299510], [2403507, 80669290], [67544833, 73857871], [36309924, 8507896], [53411387, 40916146], [80803952, 80618897], [35251681, 13296290], [76755784, 9914862], [31439017, 77256377], [94425402, 96558148], [30514270, 30725357], [79851530, 9328902], [64036973, 13325179], [70488825, 7398502], [34133941, 56457218], [24069258, 90321452], [64185913, 6545804], [77054439, 48058000], [95313954, 12305558], [1522182, 65974205], [40174446, 64257140], [33309673, 79534673], [9431570, 23478129], [62744208, 62203890], [19179321, 44021786], [6395714, 19021572], [97474668, 37225064], [16292690, 85013868], [35623603, 6161539], [75551608, 2114602], [82200617, 51441708], [84968092, 67307695], [86739865, 15183902], [14170353, 59354600], [21295633, 47049340], [87616540, 36889402], [86512601, 50410834], [14590945, 18267539], [97085232, 75383466], [5905543, 63614242], [52137103, 29717781], [63796180, 42287736], [1152717, 42994159], [31969436, 77193595], [53046132, 65332751], [99368476, 62463493], [27010142, 41621527], [42292714, 8754159], [58865982, 15818229], [82508839, 93265122], [54294034, 69250449], [46032660, 58541878], [40181357, 97100330], [77145932, 28477276], [22465578, 98371157], [20376553, 36471848], [70079055, 2168211], [23006130, 18845386], [18764755, 80483616], [78063228, 50124612], [85566846, 96315619], [86957609, 31124243], [53664684, 56803140], [94564079, 41542934], [48170917, 63893495], [26023972, 95423940], [51205876, 62867677], [57275337, 56625438], [39567288, 22312390], [13115092, 53121537], [41275907, 69779629], [99719086, 28576738], [35068138, 28903397], [84223379, 65437073], [98549353, 35298653], [71243647, 15888976], [97831251, 9853823], [90995985, 40553865], [84792414, 86157246], [74222627, 12709806], [74790143, 33525210], [75822698, 11734483], [36102274, 7447988], [16304965, 7186291], [5455036, 35249035], [81659195, 21491990], [91399465, 33975398], [65779846, 63846366], [27788384, 80490763], [88724620, 69720503], [45042960, 31136890], [42679622, 7679268], [6256574, 86839482], [94504244, 81533197], [48762476, 3707148], [74156950, 97379103], [2129903, 95370147], [82362444, 51264598], [17968218, 41544703], [52758388, 98139216], [33355104, 26120480], [22022013, 86824696], [19944775, 39891054], [10536780, 99476550], [50272135, 68362141], [94582779, 62693285], [21604845, 8784020], [6368273, 37414470], [39846305, 5565597], [20121053, 60341862], [42227381, 56512504], [77066116, 56338587], [99663306, 44170642], [60966253, 36740810], [37612816, 79880297], [49796668, 96302843], [75694748, 26050680], [88674274, 6109213], [13391871, 27510666], [59420517, 84974786], [72368199, 79351398], [38079669, 96967833], [46511581, 19298415], [67843795, 79480475], [27923948, 81309612], [72892378, 9460118], [62264371, 75263670], [2486048, 32404236], [68706252, 37641556], [65435373, 52395601], [14944038, 79141874], [59278652, 72543503], [8921197, 71514573], [87442743, 5088980], [74863908, 84090843], [98269628, 1196472], [73314994, 78539838], [39413375, 69801983], [52144070, 92277757], [13431549, 65976078], [93996926, 1690397], [81074612, 69023147], [35791696, 27550864], [21645069, 29590934], [32902294, 68707466], [75045485, 14920171], [87582324, 29042059], [99230985, 790498], [48852365, 32849321], [63371102, 18011000], [8700064, 82766678], [2710229, 99382585], [3267732, 57456784], [55748857, 58493902], [91742547, 78065045], [40978160, 31981671], [44118, 15277196], [7773062, 820484], [71103963, 52163067], [98192732, 64692951], [38809097, 84629091], [54169743, 78739499], [31211522, 57432202], [72788500, 21668033], [6354945, 79560034], [66221143, 84737730], [81840678, 11996159], [29797505, 11838109], [26104579, 970815], [82124176, 73803473], [27178206, 94643701], [15399266, 10009662], [46273667, 37499965], [62825673, 30916880], [3408734, 74390990], [82571147, 13008641], [85005516, 67415903], [37420715, 34759181], [55156091, 46122575], [94169233, 84114595], [61596868, 79030887], [94148186, 63160573], [65288887, 97803475], [23089963, 12281101], [92902315, 39725952], [73176997, 501177], [38390788, 34219009], [32609880, 45611940], [33866929, 47716643], [19314589, 55346401], [1832839, 70134220], [89145670, 77525659], [97254102, 5455267], [31508961, 16317765], [79812375, 66884572], [21516230, 81720656], [26423368, 4826930], [36165767, 71969590], [61985813, 31241666], [16317649, 34266965], [61184196, 51456556], [76818638, 71749496], [24749558, 92720576], [44012473, 5024127], [8348563, 77364729], [79323968, 11684125], [91344936, 30471787], [90313389, 17985738], [64660591, 66525630], [14551239, 6840558], [98355256, 36686818], [9784481, 50613222], [38179816, 91792068], [93845843, 21342757], [15389832, 96986958], [47566190, 64983209], [63643014, 57903003], [69117801, 3562321], [14077961, 85264510], [40688771, 97872664], [55741801, 8481566], [28320758, 22893653], [96668100, 73466628], [83527208, 48205399], [5294501, 91245075], [56712022, 90485842], [96798214, 92589573], [34278403, 17687232], [39393186, 38140029], [65334502, 42795423], [64885526, 2776815], [36261719, 86072225], [20881738, 82258356], [64578747, 85920687], [97801666, 72667869], [92028913, 62153855], [42395926, 28112956], [40653158, 67944765], [18383171, 52265775], [36204607, 39843298], [33180470, 26231096], [30276386, 77699277], [11907086, 73716034], [70884622, 40975538], [40952842, 29538325], [34196341, 70493126], [98047174, 6551018], [5655959, 18682666], [43632394, 49622518], [34308819, 57256841], [76312252, 70096468], [65121954, 70670935], [83941243, 60532753], [30941835, 9213563], [17948744, 7758521], [95488418, 90289828], [65844411, 55993161], [80038563, 1369353], [34793070, 67013761], [95850431, 15003650], [60980581, 37210438], [56109144, 86165106], [39233917, 67467968], [99580903, 9156409], [31042878, 52575772], [44690142, 58916465], [2148919, 21183737], [69619382, 19576045], [34297311, 4178917], [79409459, 11013176], [24339842, 93615755], [87621910, 50483656], [95987215, 44988523], [10589443, 44535608], [18618602, 22080492], [28379397, 99109251], [22409619, 3538174], [65098579, 86565180], [54807943, 32799719], [59202261, 66262656], [48950439, 62770164], [36424363, 7846647], [14223098, 27244483], [3853842, 89384771], [92048810, 35613051], [99972975, 95939462], [36410277, 7521136], [85988903, 71560796], [50485063, 80994770], [85343688, 36064742], [36627550, 10349753], [11900592, 85047587], [42416115, 59371272], [58006524, 58217066], [77903094, 80785983], [96751869, 80473634], [67539900, 41964810], [964700, 79735251], [48554609, 28800966], [70614327, 567332], [10540674, 19592780], [82137425, 14935551], [14459695, 63753358], [88801100, 93550277], [50976792, 20468453], [78524706, 87848007], [2352165, 11722063], [46309364, 41585066], [37551202, 27454603], [84181316, 94785148], [18834080, 17463268], [94393276, 51665885], [42943850, 57278690], [28010799, 93892629], [44547157, 96777949], [6587354, 53809697], [26500213, 97201730], [65086965, 4246107], [2288253, 96363041], [57453737, 33293087], [33658068, 35050683], [73135030, 86873288], [6452969, 43620323], [15008227, 40748988], [19443165, 31356258], [46906676, 45496232], [10137013, 97546954], [91208416, 90813584], [54066949, 30188117], [53412985, 46908726], [57183301, 37468900], [40041275, 39468779], [37411941, 46471739], [82548488, 30278594], [27262723, 66428849], [86424109, 17021702], [30744487, 92250155], [77182408, 67492847], [70095321, 46439104], [2931176, 95504072], [64822500, 18300446], [50282612, 65516902], [83169794, 42934650], [44089436, 12624230], [77210869, 84503819], [83093139, 26521475], [10483758, 49280637], [8302506, 90346681], [66846360, 14360961], [75839667, 63030212], [65561928, 96322073], [11962192, 77387048], [42705648, 69081701], [82185854, 91866395], [8838970, 48862904], [99608012, 81676030], [35652423, 74000864], [72098152, 22196061], [90141131, 45800947], [64396249, 83861121], [53252087, 25771130], [75088493, 4791785], [20409109, 17324888], [31725969, 9739353], [74507388, 14310895], [16957810, 39153610], [45279460, 79361498], [54792643, 31089102], [41830383, 70546060], [80937886, 54572917], [97570546, 85959636], [11607003, 49856429], [42599857, 79348781], [4748436, 29564474], [85845403, 1425195], [53946274, 47318715], [11285686, 60280194], [74779148, 33387008], [76064154, 43711240], [32850819, 53838637], [45926461, 22735054], [50294773, 90132667], [57123746, 70807858], [43964962, 37471375], [31390329, 2734917], [984004, 36785430], [33230375, 10828199], [90001689, 46142641], [1802165, 22296209], [14484331, 23268427], [3052831, 99712297], [36255380, 23118667], [67217128, 22055718], [2744968, 2624040], [40565079, 8851491], [17455883, 77916202], [51317426, 71889322], [87902611, 61885144], [81885470, 79216899], [92523065, 74137011], [6637789, 39565287], [88163878, 33905911], [90897294, 99905627], [64878277, 46758528], [92699165, 85345162], [62778489, 32548763], [376714, 27754403], [85769868, 98128825], [70921425, 19299350], [2819118, 8752392], [10692578, 99531212], [22809333, 93727364], [10743514, 25415236], [86934642, 6343041], [34109557, 66178892], [16036640, 22461812], [64794917, 72111284], [59653702, 24433045], [63109620, 6971824], [97458643, 83654095], [53716790, 63929896], [3138071, 64056350], [56691212, 27646662], [18756711, 20783754], [39377559, 99968371], [12464744, 89961839], [8912026, 38141905], [62184317, 39446393], [67428043, 45586363], [27866037, 22392941], [91330452, 5167583], [22771869, 32609780], [14467191, 6284289], [44827873, 83627350], [73699646, 53234246], [21606155, 34937912], [77377693, 49336767], [68103856, 74797546], [67812448, 88026123], [97940157, 82917745], [61772144, 29070330], [46099951, 6641447], [42019336, 41980250], [65932288, 78089200], [68058491, 58831760], [25722759, 56459199], [20067290, 39134525], [69985621, 69464347], [8923280, 75830405], [3540066, 649973], [3180131, 84331629], [39177289, 96104431], [25736679, 25903945], [45404511, 37538839], [13216758, 94858739], [62742402, 51401837], [19597686, 72115437], [5885945, 3702401], [89558335, 33839398], [51097237, 4665156], [10366979, 39769992], [99385222, 76018011], [20544277, 67580896], [989195, 89464082], [29086741, 87224415], [97274354, 91849594], [42175755, 21315556], [3475733, 96097313], [36606394, 25347327], [33227434, 37779606], [66568677, 12674577], [14271600, 22852982], [78004273, 25890346], [28646311, 91112462], [9662729, 80095575], [8675712, 57335763], [13009703, 75394340], [98925470, 23719004], [71935242, 11920060], [71698524, 80540923], [71255871, 80380992], [47043698, 27596326], [94684493, 24790451], [729571, 19120694], [13928106, 1453787], [48641756, 59679415], [51666820, 56116376], [25697392, 67582993], [57553149, 84667883], [66164660, 51594839], [77612133, 83751426], [47804073, 60423949], [48538742, 12026765], [63162470, 13942808], [23457691, 12979020], [90419201, 88468945], [3265217, 61226767], [40473600, 99265616], [10806480, 52947221], [70238674, 66215649], [2587358, 63910101], [34766581, 56683430], [86444805, 83109285], [22753450, 371360], [94056742, 73186960], [66832770, 80330532], [88782547, 95158253], [40881656, 85784867], [20874119, 69731781], [38553680, 27218278], [82758850, 45697443], [25059476, 94820934], [72399820, 21404596], [81226172, 686165], [99016696, 99351417], [74829318, 72162616], [10044104, 67744631], [19266737, 2539019], [59441570, 1785774], [92528737, 85474561], [11539230, 64929424], [62477147, 31183712], [2420358, 75690575], [2234706, 79212091], [70313477, 13882289], [11752007, 51688897], [30037940, 72388613], [95050724, 16885108], [25484442, 93514146], [70906362, 72016821], [47110118, 16839556], [78173163, 36385154], [74679136, 1828660], [60995108, 76442806], [76539156, 62442700], [87336548, 79228315], [56258782, 86046619], [1030050, 98444309], [51015335, 94935727], [55709535, 69963711], [96818881, 84506991], [30051576, 96354338], [28919321, 55999233], [26892072, 46235241], [88895051, 35220777], [36436221, 37056666], [83071851, 78678419], [35645633, 67934491], [11857608, 64587848], [39715369, 59057327], [46876973, 36952525], [94512621, 37047449], [93406984, 4468409], [65413735, 74921402], [34095823, 446277], [6846089, 20888854], [58216691, 50054488], [9520392, 10954038], [67731402, 12322628], [47186706, 41906355], [79137509, 70616716], [87996854, 87287013], [72063604, 7249533], [74131678, 97711935], [43534260, 29282302], [3247647, 89241695], [83847793, 35351009], [6986515, 2108306], [3211889, 1641429], [76118532, 8574823], [98525132, 17847053], [76014061, 48906646], [53325575, 15753917], [55581573, 27025733], [82222047, 64723125], [67577887, 27180399], [21376645, 7280923], [80412832, 32459315], [3714747, 66535482], [9804556, 63060654], [16114597, 20858658], [96114746, 36153334], [53833446, 50827550], [23745974, 9258359], [861846, 97484654], [72158941, 38376363], [15008572, 92453830], [95381474, 32793651], [13278754, 84412680], [89133468, 34011564], [79137955, 91499579], [27183183, 44280396], [26650964, 10874390], [24372675, 33040659], [31709219, 12287082], [37340222, 14988581], [69996464, 73095982], [47064325, 66209576], [57267551, 54167608], [85534659, 19372937], [73849564, 95093983], [92942374, 32669906], [51032524, 94632542], [90693833, 10713761], [29230625, 63644377], [29769276, 52582681], [13437363, 56654557], [31662205, 83771395], [27977406, 43487089], [52797772, 54231762], [99494397, 5166917], [8113513, 10795039], [41193915, 3234121], [784623, 4301916], [34584918, 98894415], [19945427, 97931819], [95128313, 95594672], [3041860, 90818178], [34940161, 64547233], [57161796, 13370769], [89827386, 25647227], [27281836, 11900212], [565327, 86914097], [29067560, 5306740], [15356629, 70352277], [29877167, 49670656], [58877822, 80828591], [38675860, 49136213], [40606180, 61589420], [49310951, 33494079], [59146215, 8950570], [2810355, 57743402], [62184211, 24841936], [89084158, 93510616], [71746602, 5777307], [76652147, 80980844], [73560604, 76485476], [9440830, 30099986], [15488522, 94641752], [48339208, 33510484], [26500226, 88830828], [22662714, 77109493], [88198656, 41740064], [79894131, 84161158], [25052393, 91014815], [80811963, 39592667], [29724672, 18652869], [48296650, 38228073], [74256728, 95048952], [21978318, 74442081], [46801879, 51911207], [2934836, 9042221], [48314627, 55487955], [14732149, 57926886], [70713264, 82848664], [76022426, 53592657], [49365170, 7830679], [17422867, 52550986], [38257778, 94084451], [4501513, 71104210], [71388307, 67611223], [82624782, 4580646], [82054935, 86356884], [23975020, 51373946], [72302703, 31876311], [10212402, 71539699], [75812015, 12110831], [46560914, 28863565], [48630548, 80982980], [4055667, 48635045], [95644856, 19369464], [5645777, 71713104], [75269149, 18938692], [48907376, 28362938], [49798240, 78494377], [19525973, 20647423], [7281376, 13889448], [87012254, 46975839], [89835616, 18151369], [25031444, 29595863], [62866207, 98279451], [36201403, 72476093], [27495398, 92505947], [23427885, 2172744], [88088234, 64149188], [13507375, 65665954], [43145085, 19813507], [6207205, 2671437], [73159963, 27885262], [84105793, 79173472], [45005847, 39146448], [40193069, 39607503], [25740489, 93351368], [6167009, 47532039], [4304158, 20905307], [62411017, 35335094], [67012395, 27629666], [88875894, 25681430], [65186676, 81130147], [21018696, 77621064], [58303261, 16024065], [79595623, 4933673], [65429676, 23730684], [93985943, 37562509], [21393350, 43711606], [595571, 91029695], [54783610, 56107772], [44957996, 93269878], [34376592, 52187633], [80787236, 602076], [25596653, 27305612], [83900659, 34859508], [98994780, 87366387], [36137600, 34728608], [30137924, 85047689], [60782617, 86203742], [90695690, 38481201], [15714437, 7192145], [62972438, 29301651], [89058454, 89413899], [38931786, 42720799], [62033127, 45300284], [98028092, 35895045], [78236812, 78109778], [87674110, 86356425], [72644367, 47864140], [14458167, 23769645], [3706066, 7196106], [95707170, 98444240], [66913558, 5053627], [1321218, 33831621], [18370595, 16171750], [11159911, 11973227], [41989123, 5159333], [71771904, 98631622], [10193222, 98842942], [65942582, 20024281], [7835640, 32551614], [51085866, 62639582], [29741941, 6330361], [67413393, 89509758], [24772678, 57012494], [39399197, 14690122], [26700647, 42301878], [80919548, 47159740], [398504, 83155302], [4045461, 94962905], [86628222, 68562582], [1911783, 42800117], [69748113, 91793623], [93069686, 34228367], [67542784, 47211507], [76284704, 14545709], [72530887, 27067148], [87686739, 43945334], [74722181, 91442143], [41976689, 30862536], [85896413, 85046709], [61805514, 71801386], [40944186, 44301928], [89525508, 59330427], [22918119, 26099702], [18082688, 29942931], [65657702, 53274795], [40850531, 98082255], [27820689, 90494508], [75866295, 37682400], [62419841, 22543335], [90669356, 70069552], [8189563, 80777097], [23104031, 20709597], [44130551, 12668409], [18286056, 11301967], [56444019, 53989773], [62697299, 13642384], [1502135, 42742870], [26540679, 11808867], [96917764, 84220128], [61592774, 36550488], [29858388, 74484990], [3919265, 62560232], [42767911, 81611435], [11896967, 60774688], [38075077, 90975541], [5394682, 7557763], [21641473, 25584491], [33775541, 31842260], [55633554, 58791365], [72914141, 9326173], [94776830, 971220], [84497492, 88098596], [97945906, 93387746], [34575735, 91902994], [12748230, 98697521], [80100652, 97860881], [67196623, 6443046], [20640670, 88395787], [23773965, 96159371], [29710159, 69056253], [86630680, 76397766], [97673280, 94432979], [56092507, 82313840], [60738238, 24185008], [34091129, 60431048], [60387388, 56146506], [71008239, 53538467], [90529542, 48593312], [87843602, 74091253], [32115811, 3538431], [21357323, 51462605], [19464846, 48085463], [60240476, 62274675], [4462435, 38702848], [24719328, 42043560], [22090061, 40671554], [16146005, 64260995], [31092162, 66125078], [27714209, 75004020], [21509968, 56357041], [57150298, 18011944], [15241593, 69928374], [76236703, 64880485], [55747077, 63279962], [5975934, 44354741], [32439989, 83547273], [51375272, 42394765], [97297629, 14434248], [52208227, 40460808], [64251946, 32776845], [27363262, 28285205], [70757725, 39036881], [33897558, 69150519], [52944102, 55488241], [56960260, 1254453], [81799910, 85270044], [91495803, 10984229], [92161953, 85747156], [20378262, 14077798], [37511604, 6786850], [85379518, 34077435], [58534766, 76674894], [72347550, 93546090], [67212006, 14301262], [84473596, 57746125], [9582550, 26679464], [19210137, 76123335], [94553253, 78701223], [15311286, 30283646], [999587, 54410367], [36689147, 48361409], [48273078, 49723883], [42710988, 31809093], [92572843, 33095101], [96096548, 33631744], [16701945, 7318009], [58379559, 40956622], [69868606, 71399122], [58121712, 77038394], [77878320, 51772703], [78398751, 61013985], [3954331, 10606954], [85284443, 22439092], [26005773, 77470004], [92585315, 10716997], [67144571, 90281175], [15671009, 83484709], [40468878, 40172031], [46676151, 15404143], [58686989, 50611182], [9451941, 7318369], [30420431, 8829027], [49800256, 23592060], [47038978, 57616472], [95540060, 19969723], [67678583, 60054516], [13122681, 36765085], [3008690, 84430251], [35744538, 42034147], [77953524, 76613146], [36032716, 55641794], [15238010, 90776347], [26685124, 1137834], [17127382, 33541066], [63652583, 77714529], [7286908, 43961461], [2562672, 54651828], [69097939, 97507602], [10356080, 82759559], [7971747, 63850527], [11818898, 88458248], [75052837, 77103543], [79812886, 58406351], [88665536, 57853413], [33636125, 6550638], [66558848, 20929586], [90622934, 55071359], [54796824, 49631087], [78882391, 37092345], [14287378, 5712738], [91797578, 75106265], [61300378, 38024463], [82850292, 82680813], [27902538, 37911697], [47303864, 63870986], [54376306, 95698629], [29638337, 51247646], [40526337, 18500222], [62435825, 13360085], [3657623, 21436159], [64370922, 1401639], [11821358, 71033151], [39099841, 48322699], [49688575, 56584726], [82786843, 46617111], [24262534, 12883101], [10674548, 30993356], [55273497, 30139355], [41729950, 29874692], [19177029, 35107188], [37200804, 45889109], [61689868, 27991585], [47139572, 49453570], [44035811, 48118321], [32521559, 3772995], [93015105, 87263015], [93957594, 24563291], [54641084, 11026568], [26204118, 41220712], [64360637, 68830229], [24528660, 11041315], [60464160, 33297157], [91663822, 71666117], [16781570, 90481242], [60683717, 57422785], [53808043, 13723819], [57945733, 75151727], [31391972, 86612466], [51572322, 46630276], [98682876, 45054485], [71597686, 68167255], [3582515, 6406932], [83000694, 9785327], [6131579, 82023221], [44915485, 60072746], [63336866, 6253479], [89382131, 34505013], [67365462, 46536631], [63765637, 20370631], [17752104, 34025845], [38537521, 6021233], [135729, 18749575], [47422296, 79439213], [54517469, 57936433], [78423863, 63649350], [22366338, 58864194], [72136456, 2579129], [71260053, 51877119], [4138649, 28111215], [48468789, 98558626], [46386787, 80938819], [54290636, 11757977], [78196668, 60127296], [57574248, 98902863], [2169770, 79109415], [34566750, 10786651], [55583429, 48683807], [1769181, 62813157], [79887692, 26221063], [99312320, 16249836], [24415119, 56241326], [90363814, 50994752], [38905395, 8495677], [53463, 18613431], [59817792, 32084721], [80815940, 24603206], [24136661, 46844096], [18826828, 98934990], [54584993, 34584010], [3064252, 35060496], [80817178, 4926931], [61079342, 26220491], [52822614, 35117435], [11813322, 29334423], [41509488, 93892734], [8536792, 29282194], [32338900, 22475631], [15061748, 48118475], [28103675, 90218399], [46914032, 92528946], [57895460, 4648018], [33131430, 72850057], [67103285, 40075226], [53915459, 37108861], [71414334, 15447268], [45411279, 84584713], [82480024, 36459908], [49360624, 18871347], [3838894, 60319450], [73456151, 10204529], [40139357, 30736971], [62840767, 64984572], [30493318, 75202415], [3706084, 93192218], [14354882, 21595298], [56279408, 80787765], [5891654, 39398283], [54039726, 36843534], [40441805, 99299656], [36086700, 73658986], [22213639, 88793278], [47595974, 19958281], [51195099, 37194333], [2830379, 11824802], [33732370, 83416357], [366838, 55682116], [55878152, 80244634], [75319308, 87395179], [25578668, 71586800], [65222383, 90203693], [70169660, 61213642], [98585542, 36216442], [63284700, 32784035], [50234248, 97953173], [30027922, 17944094], [39547025, 43983539], [12309179, 26064534], [30215825, 21666057], [44855855, 65450514], [32116148, 59930201], [27593120, 21884062], [36756145, 56125511], [70273390, 89597102], [3735685, 66762103], [55925831, 70073528], [36396704, 13734181], [64379860, 73128955], [19290842, 14289865], [75332716, 99051272], [28869708, 76598072], [63308880, 23124508], [1596557, 88599748], [71204695, 65908036], [2595463, 22097973], [60337191, 90291238], [15966321, 31062437], [64664170, 72149052], [10606561, 81619614], [50619318, 68452459], [58451807, 74329800], [31799937, 38408432], [71238286, 11156339], [61779955, 97018435], [17678000, 96391432], [53465383, 45238986], [49967598, 73085583], [77649830, 603885], [97636968, 83532614], [44602255, 53399931], [87397876, 24331313], [6294749, 7869379], [47719965, 33492424], [6129806, 83636993], [84914271, 15066975], [25807400, 42265], [11116169, 11314268], [63659326, 22494895], [42723113, 824965], [16149708, 43243329], [11059455, 89144093], [18675134, 37682634], [86386409, 13531806], [63961658, 81352422], [27306499, 30625368], [64315161, 23092883], [31273151, 12233336], [67048866, 9500873], [17182177, 10479117], [57337977, 83134825], [73438109, 23991399], [85148772, 28670225], [73507976, 41142857], [39664342, 43521650], [91034379, 39302150], [66780319, 4524257], [32985372, 99385456], [44022994, 52148967], [97471824, 96520102], [72637801, 47959745], [15022149, 83587955], [49285388, 85898828], [35628378, 51213956], [3192691, 36961740], [81505795, 66287935], [79298198, 71343894], [61387882, 9669818], [55148550, 85227578], [6803349, 4194315], [19217368, 1173999], [41266143, 92734656], [88143363, 29087756], [99842627, 90358590], [72196117, 61156028], [8199591, 4190687], [97388514, 81046025], [56245810, 79559140], [72735622, 43117219], [94825647, 2346989], [75998810, 49958890], [63042030, 39137915], [10062015, 90756877], [69839144, 87204990], [90515198, 4693844], [45757425, 27325643], [52126575, 47841456], [53533366, 83369272], [76081493, 20291738], [64685759, 42218151], [12186793, 44774577], [46066990, 24884940], [2154873, 77420068], [62257385, 39677124], [48904051, 58234324], [48735194, 10565909], [57475728, 26894560], [38067542, 46124896], [66438349, 1854209], [22401235, 73282796], [79392905, 66735470], [33939433, 2412952], [26456933, 60126706], [10832997, 55806497], [13531485, 15127807], [70909444, 95088585], [82065258, 37946154], [23004615, 56019554], [14144169, 50285589], [11104745, 46901323], [75542423, 31842097], [20264113, 56781565], [5498666, 94177986], [41087116, 65021473], [48984977, 22629545], [53108819, 67935125], [76160114, 99966454], [22999062, 89563107], [53125615, 87697221], [82197883, 47626077], [82970545, 22176374], [77373442, 83377895], [37844492, 40419809], [51050751, 40976563], [90361376, 13837747], [18519017, 18006930], [86238349, 77241074], [36084346, 3145561], [28251307, 36227656], [52517253, 20149246], [52386740, 17246053], [13299019, 14769681], [41150284, 99689136], [78057000, 30655527], [83937009, 56895237], [97578662, 81355230], [3727270, 60546234], [49116196, 78023518], [66927919, 93212215], [96273196, 34678608], [72198431, 15988461], [27685473, 59765128], [77474335, 74308793], [66161052, 68682579], [54592323, 89941624], [35118071, 8132597], [60925029, 70470075], [5476340, 71359167], [86757141, 22894247], [41846470, 91485775], [47268957, 11967300], [56679729, 86766643], [13689901, 2578417], [41413753, 66445321], [84947225, 76659815], [57546944, 83965180], [23948196, 22720822], [92996702, 94696124], [23948353, 15967792], [82670645, 53258205], [93702370, 80503659], [54633670, 95670308], [11788500, 67022339], [93548335, 10550907], [65839731, 46391961], [86045756, 13511099], [35164049, 64507614], [7147768, 90364002], [5080020, 32514891], [67475286, 60589791], [13450629, 17894819], [54168989, 68062548], [18592286, 93454094], [32702987, 73412998], [38394196, 94451046], [59269405, 15537451], [62622506, 50056189], [43900757, 27958824], [50259161, 31467694], [4819514, 36653135], [55084506, 86951746], [79306318, 69635664], [18799703, 30821545], [38702989, 34597664], [22294562, 6157539], [94358604, 35080838], [37978570, 87818909], [26671557, 99725120], [9805578, 53957265], [34929918, 66703237], [15519663, 87389283], [93896358, 74676076], [70792941, 75039180], [86785140, 62918173], [50592975, 81310775], [66118241, 19545813], [81852316, 52447311], [68206083, 66854885], [40455958, 38208685], [84081748, 84322057], [20395566, 79010558], [11830822, 85302262], [95351819, 29654181], [61313257, 52648844], [60926413, 55189453], [15221312, 43795952], [60529778, 89290004], [27584380, 67717126], [14769093, 87201910], [58689468, 82323930], [63330178, 35636969], [68301430, 92536211], [39663816, 65615756], [76825822, 67040673], [74364173, 75532816], [86966391, 52798067], [12994768, 84629425], [74764344, 85243062], [72225227, 1972862], [86074287, 10332035], [73606557, 17230594], [73306561, 49937200], [44081616, 28916507], [39919537, 13706101], [89192927, 17803341], [18324607, 14370061], [900466, 36367147], [23612103, 92425218], [21193320, 41903859], [63859214, 49030880], [23981461, 88698955], [99300299, 94852950], [82508254, 48066575], [63523109, 33328017], [89022641, 40274299], [87912291, 4268839], [34884074, 25858637], [79026591, 8888806], [10793998, 79487494], [81410210, 28852772], [77450762, 79558943], [64561766, 10303944], [709201, 9812870], [42266408, 23669797], [40076354, 60013142], [1704512, 50126496], [35345681, 14480198], [76499966, 32141479], [72651400, 72476433], [73821210, 85288522], [63184860, 8445326], [86926232, 66705688], [62899384, 27049378], [77843070, 59269477], [43662378, 39243081], [42195868, 68371522], [34247512, 55082535], [76409600, 78543772], [77760495, 96223497], [54415172, 37251445], [86345310, 348241], [89886193, 3187321], [86303807, 51971780], [46405097, 4645014], [44436724, 87669421], [44650470, 2447870], [37862459, 48864779], [25600260, 14797448], [54764595, 57050045], [76285842, 44911112], [23629174, 86529728], [91095404, 61940542], [9402237, 42822505], [3146510, 8865960], [94218106, 79443255], [67611420, 36519914], [82033221, 34801305], [22290589, 4628420], [20002971, 48757013], [43034399, 55072247], [77874387, 68349713], [69408495, 76216788], [52942965, 68895865], [33813294, 65840670], [53140244, 99762870], [95666346, 32102570], [53666966, 35747113], [24787511, 18366673], [25039550, 93436929], [97625702, 62069211], [24165658, 38628402], [55376099, 51954998], [10664826, 4928717], [12287379, 81111177], [79525918, 89253251], [93595946, 6621652], [11803996, 75030974], [6062093, 57543814], [35493903, 55279967], [75509664, 34143064], [96096034, 7367637], [73590134, 45465432], [61608601, 14958533], [13069969, 38534354], [80045226, 12866033], [92703294, 12499037], [51583976, 70276114], [8178268, 50981198], [51755983, 55323744], [53051487, 37923363], [78911015, 63566524], [37061574, 96073107], [89710511, 64446905], [39101676, 51089862], [71472141, 95899843], [8412104, 84586726], [39996845, 74472850], [17068559, 37292728], [59787492, 27845003], [80567262, 68937584], [14171890, 29614983], [19133086, 18090604], [8103679, 41454412], [47273134, 35743270], [16075138, 91999505], [45529584, 96457034], [69664148, 28101378], [23344903, 66369571], [68160412, 23180184], [36876349, 75718713], [9801487, 36631482], [96875051, 12536901], [61666480, 53868229], [30146051, 68909661], [81377464, 65101882], [95391966, 43630706], [14157320, 40506906], [7655418, 36280738], [12527369, 2053523], [32133806, 27256906], [34847735, 59678168], [39947529, 51076725], [54146017, 7664558], [5558523, 77282409], [54560061, 70067613], [33869333, 4667136], [23347893, 2899694], [35358612, 19450384], [57930406, 49097295], [71743482, 76552765], [29587908, 32501248], [92006810, 10373754], [65288595, 51980918], [86311579, 8009922], [74753, 7042724], [20942327, 43354557], [43488102, 24768235], [73023904, 22123960], [43160309, 42317660], [60327609, 94068438], [70137772, 80872742], [18231409, 49508840], [90101959, 41780025], [17369590, 23337478], [22289990, 56236944], [96448538, 29101164], [82864292, 65425644], [58837827, 58106971], [77226910, 48947004], [72463969, 34740261], [48473662, 81025950], [92825382, 48859254], [62765613, 83711720], [3140939, 98292481], [10198718, 94472509], [72501303, 29029614], [99632816, 57596478], [53189061, 49574828], [43261355, 42797819], [6720681, 77672753], [3613569, 94850592], [34028745, 50360415], [98830407, 41803571], [1324898, 23437784], [6466295, 58719690], [36637341, 71462589], [49753196, 83732543], [54757438, 68555371], [65661836, 85713055], [55746112, 7961147], [21071992, 53080701], [16961777, 76732415], [31943007, 99327348], [68627314, 96519151], [26065955, 86435795], [96663587, 84556160], [30849060, 22741411], [19250463, 8142691], [36268089, 23485467], [45567864, 59985939], [95670035, 37421665], [35235828, 74986753], [13659676, 96199133], [75535499, 98763480], [49218495, 90973102], [4604461, 22943039], [64668277, 6500440], [87103074, 76686278], [33654316, 9210991], [57092432, 5686621], [47751401, 58889040], [88870371, 12291247], [48216081, 95559691], [397099, 86938589], [39007098, 95396350], [98857603, 45207361], [46895973, 97998700], [12414855, 12092966], [39570306, 10196510], [56305564, 33964365], [57251768, 72008], [68455394, 46061428], [21046141, 38783018], [65581802, 46147319], [25453257, 23383989], [74620782, 28909919], [19809757, 19406316], [68953938, 91668234], [21857160, 50763638], [81973625, 1735301], [89009455, 65284566], [44903854, 19332584], [11172592, 24240199], [73405953, 185082], [58104585, 79138542], [29820929, 16875920], [18447360, 80560818], [28648522, 90539995], [11258637, 3774320], [71521895, 51332261], [76519790, 23843208], [58741474, 2650191], [60303781, 90870255], [82934085, 56319666], [18779111, 93994083], [92932784, 8957543], [53518565, 58313000], [19626266, 29254889], [4814090, 85545690], [13215957, 17761310], [72390717, 80078945], [94389452, 33066342], [84575751, 78686679], [23587365, 96832161], [29283327, 52392785], [25409597, 62268870], [72045449, 77133406], [21767572, 78918045], [69351493, 29288355], [46696680, 48685795], [82330639, 86587763], [1837297, 87786547], [6452389, 91629734], [6179665, 16412555], [595323, 18107579], [61324752, 64020361], [92425879, 31451068], [29758081, 52883198], [85308907, 52983052], [88636500, 44932662], [85037305, 77023417], [39943828, 62396093], [61465770, 53602029], [37062275, 28003335], [53607492, 44192248], [46100711, 83906890], [84728118, 6670995], [13026913, 9264562], [3704102, 18617366], [80248606, 55127181], [37425351, 94765524], [21740554, 66002594], [51903367, 66854441], [27282593, 17413172], [50992107, 33482572], [17776672, 6207482], [40506380, 39880280], [97624806, 80651939], [94785297, 290106], [31520538, 29995936], [54546912, 90216647], [57363338, 19386545], [83669555, 72312019], [44940610, 67857998], [54670829, 92473829], [25625593, 23833056], [34785960, 67991036], [83383815, 28841723], [67143812, 13363227], [50271270, 13686251], [92579291, 69102553], [41134036, 13751803], [77617064, 23085331], [55899556, 76311194], [53529594, 97302200], [19307153, 52955887], [75803800, 10591405], [52594411, 52416219], [17079309, 23331909], [14019615, 74670301], [9126693, 76690628], [26295650, 43745908], [76833027, 72607128], [65000828, 112584], [89086897, 79304294], [57987062, 13840008], [88423534, 78149879], [53111415, 83210223], [37672850, 64429660], [49785285, 97836792], [64322460, 86928327], [45846447, 57214483], [66045360, 92551505], [99261406, 55825631], [60510212, 48658474], [97854654, 65118590], [63815043, 37819686], [83711527, 33620528], [72458347, 68644361], [34827699, 97567510], [50378880, 46587319], [7287099, 1549422], [84394839, 92458018], [49914740, 35833212], [50819770, 64090359], [22842931, 2118227], [36010844, 12385902], [80181397, 88051091], [94613528, 85434414], [54828056, 23588631], [59690654, 82876058], [26139932, 4478357], [12563116, 54952542], [9263747, 36803185], [43681614, 69158045], [2641330, 97866904], [55007003, 6037050], [27260497, 8104282], [89386988, 38116580], [83625972, 37843974], [77567522, 41329283], [32355851, 38421003], [35034482, 58904772], [53479527, 31340158], [70024888, 14797986], [76997093, 56525295], [26625634, 79365591], [96527213, 68534232], [13519313, 73377271], [42215108, 47556913], [94995457, 45316820], [19387904, 8498568], [7763847, 4110244], [95511709, 82941781], [3186583, 21182033], [9094211, 18840836], [92569326, 48414137], [17662060, 93037166], [71178970, 46233277], [36413138, 29591138], [16042956, 32119844], [72942846, 97381910], [62278181, 63370630], [94290537, 1760202], [63819634, 31697578], [13761933, 46344891], [65732733, 82136779], [46204476, 94890432], [79749239, 98164147], [83474196, 74261295], [66699414, 75211049], [2836627, 21282519], [62791222, 58455561], [86527473, 40888119], [92051140, 53448182], [27260147, 59142939], [88282342, 80726330], [29467109, 29264862], [78167864, 97071936], [35708140, 7300226], [19947868, 41296690], [3531466, 41150996], [63012953, 41789348], [28263038, 90837145], [75192632, 10936733], [32121603, 36571658], [66979349, 26130462], [89664171, 91357707], [71917139, 23095729], [77388248, 53494240], [29717082, 94468308], [91562834, 85591353], [32159252, 65524192], [61256181, 86764782], [50269289, 46207077], [63752736, 72319483], [6609765, 37507549], [67039084, 40220947], [9546901, 45890503], [6337447, 246542], [53698066, 91957031], [92761272, 23004981], [85311215, 22723524], [67288984, 41885882], [5522468, 80343981], [50500428, 25600626], [68204846, 9182399], [93889147, 62066332], [41227620, 96105411], [65816830, 865488], [65245477, 69350916], [34104519, 26994988], [82563993, 82832235], [1914958, 63207710], [4561929, 27374083], [43963402, 64121626], [59627927, 26144795], [94990179, 725320], [3806845, 60928652], [48317801, 48359420], [83072138, 90574836], [40713066, 78633879], [79524712, 73915110], [37139825, 12635460], [35237905, 10400734], [68453936, 37141345], [12987890, 22587540], [75390962, 99480134], [27649853, 56514862], [34968129, 72249833], [376554, 18931898], [18095706, 44206674], [94058378, 98904592], [5032327, 38664301], [17683930, 11536649], [62920433, 47084667], [98021394, 29615371], [82848602, 18781002], [58718522, 53517835], [34027643, 7856629], [55184248, 1545819], [8692353, 32876519], [35883999, 14259834], [74098110, 57372234], [76050545, 57705711], [75950829, 12479240], [13761699, 7676149], [35768638, 35706170], [11105912, 73510788], [68946082, 36648356], [6718351, 58671614], [8283558, 20189188], [23718663, 28909109], [13653659, 43300238], [51300995, 56652848], [54611042, 65877427], [52448416, 2834789], [22882450, 4222459], [32314217, 36912448], [42810264, 55258009], [5071889, 52722917], [30559148, 93518292], [56836920, 99477687], [93659185, 6885119], [66150485, 43443921], [55912161, 26791414], [26703646, 12440705], [57399528, 8471222], [185488, 30928895], [84578562, 2364192], [78691632, 64571355], [21879980, 46387214], [64146177, 75317061], [46011098, 2317929], [43877846, 5479626], [96003079, 67033906], [7137599, 37695957], [17589084, 74196606], [38116318, 11648495], [99133890, 19445402], [49127659, 64307842], [82990527, 32634570], [3659052, 64553604], [15421844, 77778079], [35816456, 77584149], [99203181, 10219749], [94766464, 3111288], [88563096, 28859810], [84321147, 61927684], [96388177, 13020451], [78847034, 43333101], [12973393, 27455538], [35560511, 11427044], [19715015, 32592040], [10271095, 11951396], [49732136, 53651077], [68021210, 44300122], [40294960, 16464887], [45174064, 58923767], [18100745, 28138351], [65016936, 71834502], [27845397, 9556853], [94564245, 20789935], [47652130, 34409328], [84547527, 17891117], [59914507, 46150567], [1791518, 24770132], [10609138, 57998864], [58057662, 84859536], [37024825, 73136561], [97524226, 1038090], [31149399, 52297777], [99235983, 91656833], [80504462, 59728126], [73122679, 89924328], [73910899, 22026021], [88139736, 38763125], [47402505, 67568737], [24779682, 86841824], [88260414, 2846060], [47474768, 74715006], [67425174, 37593106], [12278699, 49610853], [25398376, 78630350], [34007856, 63745676], [56849267, 79447866], [19203352, 73259076], [3428241, 26350990], [33681768, 83178084], [61388700, 26120852], [71617005, 91584111], [30773652, 83786140], [14283148, 38753427], [19242521, 89530624], [79644117, 38366612], [71079366, 24319957], [82114874, 91956907], [78110926, 3476297], [43215464, 41218523], [80911753, 67504658], [13157007, 5442626], [51892376, 33714420], [87106310, 64076341], [15901123, 26034660], [94695003, 90439325], [22957350, 34522049], [8507829, 33986744], [10537571, 73678935], [93447115, 86710147], [65455195, 83374418], [18425122, 901188], [33740489, 66358848], [87117993, 32850425], [40107463, 11326395], [1690907, 27978337], [87338754, 87746398], [31611406, 15239003], [84962674, 88421724], [15538960, 62092630], [43413360, 53505217], [73643330, 93254406], [32641857, 43556016], [33227175, 93649303], [85947354, 57409442], [9825329, 23850140], [94135439, 20462555], [70153683, 39155079], [22959480, 21649505], [7928550, 53520916], [32163500, 86284905], [50091823, 70217448], [32700377, 5550738], [82536437, 81192720], [38909304, 46857211], [67877246, 85535096], [19814855, 34408175], [7378925, 28068090], [74173486, 56264000], [43022945, 82499312], [7676593, 80816573], [10197666, 42009516], [5804241, 70775133], [79323940, 66474784], [6057620, 31091446], [15746371, 60550850], [71982871, 36814044], [70852690, 69564060], [21859, 94541750], [42391692, 38905899], [91556407, 23440845], [23347391, 93248189], [74146641, 1275365], [94028003, 81243370], [8212694, 72009220], [61702092, 75666750], [29418183, 17803316], [71263620, 97713303], [35497599, 33915597], [77823858, 61712616], [50165919, 62797887], [16996344, 16722443], [456299, 43417423], [88681696, 23956517], [81605257, 36149401], [22437076, 87049231], [84945902, 39126503], [33884695, 41344549], [1338544, 30776163], [5326497, 30871287], [82923263, 9918583], [39145569, 22880510], [46153847, 50806717], [25858382, 1732071], [36143931, 91301155], [17770114, 17707625], [86057896, 47085714], [80178408, 27712152], [53678049, 44736720], [30889987, 39915909], [9808985, 74809580], [30841667, 52744701], [20333072, 57786009], [21116856, 94815588], [49638663, 229550], [14412819, 34827946], [19427534, 54653860], [31183375, 69798879], [97921012, 29114812], [69984626, 68892929], [57683664, 13146749], [15057281, 71005431], [47187635, 96854025], [5943930, 4055347], [49339756, 92812958], [87111599, 84242587], [13897374, 6030481], [4019262, 41940825], [59650179, 38488240], [46897003, 96002140], [85736117, 56980088], [1541745, 55372717], [10698135, 78116144], [55895686, 96657287], [38615342, 87908606], [60786130, 56080996], [60795923, 69216461], [63220247, 77791083], [40430055, 26511100], [75977724, 27313829], [52359286, 74712078], [15128713, 11802139], [97649721, 62671377], [52550926, 45242992], [63181275, 92251860], [76061817, 68429090], [35588673, 41182508], [71086535, 25006618], [30023828, 28850047], [71131361, 26485775], [2991515, 8057677], [84562987, 20774123], [54289319, 51641771], [66628379, 13134560], [85947338, 45714562], [36139223, 50685262], [46943765, 12671173], [84846114, 7194675], [30777557, 32606063], [58172407, 58694183], [28289644, 70612232], [23222463, 52235885], [2089386, 3882034], [40273996, 80598881], [30665580, 84214824], [93818049, 22096549], [37449501, 32831253], [68411326, 13292174], [56424971, 64520810], [17660641, 82847269], [32835612, 43050785], [77458106, 97252660], [20729491, 87235403], [6095363, 91628986], [56909497, 75854295], [16186383, 97567884], [523619, 41675783], [88442948, 68891868], [73365575, 85779136], [38830926, 13495691], [63033169, 93803965], [72052793, 60913843], [22822793, 81268181], [16881310, 78701963], [26726247, 94081579], [83262161, 72039881], [88171362, 54484197], [5102170, 40310801], [93162056, 36310860], [71868452, 25141320], [217341, 43316499], [56776785, 8406056], [90011488, 69456866], [12215516, 21683829], [94034144, 25243060], [77671846, 27526674], [84081240, 39627233], [42718156, 42430204], [28560185, 38908731], [32678454, 83449892], [79005231, 26413329], [54619087, 65157798], [31112602, 29770631], [89975627, 58046309], [63659508, 6596082], [83878953, 1206011], [72851155, 78066681], [64314260, 20422718], [4068513, 26490581], [52543413, 9946242], [72968812, 23808391], [93467956, 40543293], [35346135, 30083118], [61344275, 90516241], [73702385, 25969555], [44796055, 45494932], [72123968, 63649439], [2613110, 97220921], [56299111, 76278863], [33781894, 60613263], [32106171, 30145420], [7090620, 13843811], [95964967, 79491774], [65559277, 72485787], [73201095, 16519257], [56457960, 9768362], [12583261, 14650403], [78243467, 15974735], [84278090, 55085343], [921888, 55565988], [77032556, 17102536], [68436294, 43108310], [1952251, 131876], [76706444, 24876886], [3348781, 79792271], [34693490, 66267432], [50148558, 12302660], [68681232, 85998961], [5240306, 75311371], [39709327, 93652765], [36012016, 17331796], [44481493, 7486794], [27137866, 18148124], [99505636, 35342514], [82446147, 70320772], [20531377, 89365764], [15452912, 81070208], [22138532, 89089791], [68476354, 46362722], [24353285, 28806596], [16387916, 7116869], [58374005, 24377873], [16203993, 40541649], [9584140, 47469660], [26313979, 20424335], [29045863, 40509041], [5660667, 58353120], [7404214, 48529725], [36631484, 66797668], [91275203, 36993040], [29782942, 5914248], [37830841, 58964130], [7749793, 97073101], [1920498, 6946715], [16811047, 10449924], [28201876, 35483430], [8875695, 6804388], [84456997, 28974422], [83514724, 86094361], [41155638, 38561193], [68917780, 43059810], [99635004, 61906685], [3354238, 95973386], [38180035, 74977], [68987613, 14042777], [19918223, 17363209], [59126016, 34838817], [53669311, 80529978], [61794948, 24954482], [79664474, 88010004], [80538683, 93579429], [27352844, 5016303], [58398036, 28089802], [54058736, 29312555], [63437598, 51447133], [36694716, 18134012], [28873888, 86230259], [50042118, 59768565], [23111391, 20447502], [16236523, 31361507], [15332555, 6544577], [65980946, 26879708], [72935923, 62766796], [92873302, 82531131], [90357385, 68438497], [19276762, 68080466], [82062608, 72360331], [93543326, 29293750], [59119661, 37505705], [41881028, 60279380], [39074630, 25074833], [76692707, 16025561], [18056820, 43845415], [50832076, 768247], [42227881, 41979426], [60599493, 82036961], [50655341, 90766527], [38563571, 48780445], [26702980, 93462606], [80624874, 24251732], [86380128, 58604978], [2395213, 93008601], [42975624, 39868000], [88816847, 65409908], [70841411, 48417678], [44690273, 35900113], [29700347, 59108261], [75354902, 21341412], [82373266, 37695968], [34444069, 5233668], [87412743, 60203921], [25893534, 84844057], [54278142, 72884231], [41742840, 35346566], [70847833, 91175449], [62703172, 24563741], [20999501, 34005456], [7637354, 70147667], [67568493, 70638919], [2355612, 65264288], [31894030, 26992913], [81844272, 63383632], [57712345, 32815902], [4396830, 42688688], [53791238, 26735780], [82233948, 90906744], [51688859, 25111856], [71603692, 16999132], [61320225, 5808198], [51656059, 67460938], [28414525, 31456752], [93583302, 2205149], [27282759, 43169753], [38493602, 11814607], [66725853, 58960426], [43122549, 49312965], [90068993, 83498397], [31401580, 3632802], [60142162, 98991135], [22573925, 72896256], [84165466, 98583783], [64552269, 10273914], [84579838, 86674218], [29641280, 14708770], [43938246, 79836270], [16994733, 80150479], [43113467, 85842082], [4766285, 57514450], [55507764, 15390690], [56132012, 91559189], [38149330, 14292405], [88438150, 65905754], [17967674, 76782172], [68729230, 88389374], [77257136, 89580791], [86422138, 37777032], [15818976, 84169523], [63425287, 21041349], [57017807, 23663850], [69630354, 2981835], [47336067, 60716646], [4386572, 59904527], [56432311, 78736046], [54429676, 12699910], [83915723, 5699172], [21001011, 81873999], [46292498, 80966481], [73695350, 60182785], [74888646, 50266062], [14891083, 29189420], [88658212, 9719521], [58826106, 13281219], [70851379, 9891283], [80935857, 95794468], [80522605, 71451877], [63302306, 27557088], [98546033, 17743065], [18773709, 68310597], [83453380, 41414782], [8666142, 85386246], [35502132, 59635544], [23453095, 41519440], [52509040, 87780294], [10268562, 17120903], [645675, 28553124], [13069254, 49713115], [46709385, 78278679], [31245850, 50149837], [46954215, 61491469], [52596156, 97281027], [74551502, 51963825], [51147108, 35871636], [46652884, 59344764], [71710824, 87519702], [64568893, 93244105], [14657893, 97664633], [50257699, 66034223], [45754301, 16263925], [24579303, 15309722], [94060769, 72372950], [87070038, 11999560], [42606186, 90498317], [89120998, 76217943], [10106874, 86988582], [71056231, 30974372], [59111137, 63258096], [52929328, 5681342], [62906331, 92397722], [1107613, 80538952], [89284798, 88736113], [46719097, 52203037], [47166112, 21137469], [21406067, 13950173], [54218523, 14690715], [39300524, 44820527], [78967599, 29498451], [44658358, 26607364], [3667471, 24206011], [36744477, 93578945], [75487783, 37830423], [80425329, 16394482], [4181272, 1565246], [22479288, 30311848], [54048224, 92559555], [8390086, 62109787], [56116074, 92146072], [84457942, 73088378], [20778215, 78613271], [44570332, 41316676], [42322380, 90900363], [82942548, 58160800], [66755017, 9794300], [26453708, 85920185], [29834145, 83791238], [24377651, 61437816], [38009154, 95533254], [31264964, 23153401], [58629547, 63696566], [32819534, 45402628], [15507291, 66560326], [27529558, 41457017], [75309824, 43939758], [85290490, 27947415], [214945, 48490317], [31603563, 18606313], [85540308, 55690652], [43002553, 69213366], [18721517, 26345044], [80724908, 10867569], [17492050, 76360125], [13804818, 4859200], [71865961, 44744234], [73227908, 47524100], [83131056, 11419999], [39402210, 74495930], [99858104, 84715650], [79158327, 51925510], [94816148, 89777092], [84712225, 3942788], [28396361, 6420152], [53555592, 44278197], [36727847, 3673209], [35985753, 1881793], [7350603, 45088869], [3935197, 9751598], [1668544, 23090080], [53939510, 35649086], [44425958, 11564220], [64386232, 81562856], [46145609, 21055712], [80554245, 25023378], [27099643, 88692606], [70442035, 65222282], [51745846, 73534338], [16442921, 96695392], [96794853, 80234741], [21246882, 55311757], [40728350, 41888582], [55645504, 63048671], [99657313, 72928737], [92800106, 77633837], [23757554, 91842118], [22693767, 46986682], [53984857, 41394782], [38780421, 25144657], [61250029, 31137434], [8044283, 14532710], [79921669, 47368734], [46892210, 41705498], [47684670, 81921849], [57118585, 36116306], [28513505, 36713529], [93966781, 85240815], [99611644, 47568811], [59429616, 27152175], [67223717, 11146662], [75716497, 69502428], [57927503, 42605440], [28923891, 37104267], [47206191, 16297303], [95359661, 34893147], [69190809, 30151083], [77693916, 53596919], [29386031, 34022084], [69027053, 52340450], [84476413, 38719850], [15019509, 49928837], [58394819, 60940298], [74335990, 8563432], [57014524, 59851424], [42893848, 4316381], [35459445, 50514325], [38427681, 5207626], [81778038, 57562148], [10988014, 19984016], [9903406, 58578852], [56728143, 3778711], [77075809, 67919209], [13752854, 84946642], [67701524, 50541058], [27624235, 93226021], [88035694, 76097274], [15316815, 15585602], [83699643, 81145711], [11249379, 99585057], [33604583, 63046864], [56287653, 56019626], [15164892, 66985782], [48768254, 22844378], [2307856, 26030978], [53266345, 53798201], [49939817, 58334780], [18795575, 55250480], [8136938, 65751255], [89291731, 5298164], [54655850, 7443803], [12049476, 7372275], [49407832, 15940098], [23563304, 16955417], [15193011, 66394084], [33719299, 98983088], [56290257, 18735635], [35239795, 13897166], [7982108, 57568868], [98175236, 1084792], [58481654, 75535904], [59741580, 38193494], [47431374, 63872978], [38753016, 91037860], [71812109, 49341230], [40396768, 24316702], [75608420, 15606175], [98228851, 39755480], [63047168, 1149673], [59863260, 69656522], [92486516, 18378135], [63360868, 1394487], [72144914, 75376069], [34171403, 13841971], [20945399, 1503300], [68712136, 2153364], [69687771, 69198548], [32913267, 45208447], [58859130, 70263431], [3433895, 18170649], [16190668, 64589592], [15026071, 13932578], [72986853, 21102849], [19597756, 18472709], [46752679, 72464830], [97394349, 78145276], [40850957, 47066041], [38637961, 61295704], [66979333, 7500917], [91116172, 78999253], [68704943, 33548293], [12959544, 81738938], [65008356, 80290934], [57104031, 47467209], [58686155, 81388424], [68139213, 57616457], [8714683, 28664292], [57249915, 29320782], [55820783, 37920412], [31686076, 11504633], [93746447, 64550730], [59170956, 52156991], [42789328, 15392114], [90779205, 19885325], [642788, 57846139], [18532337, 35293860], [24213036, 70036238], [77977531, 48602577], [66553276, 38763782], [94928807, 13852037], [18779529, 75455767], [25768071, 45319352], [53384036, 81696082], [88580572, 22582574], [15617552, 99223150], [80913396, 70545803], [43916207, 50204707], [57994790, 27677158], [67946322, 10286574], [21960043, 15558530], [64662247, 92097466], [19898805, 55409131], [51503775, 95092330], [97827693, 90564602], [68334044, 90374728], [70492789, 54052208], [64424598, 95368287], [15909800, 24828646], [19527656, 35697355], [3218068, 65679697], [55833600, 14957376], [51769770, 59937795], [93215456, 36900866], [76285247, 37987719], [61852159, 84128343], [56264288, 60153678], [69696108, 64550975], [15328549, 65909707], [42177895, 57275231], [35071514, 38332293], [36661726, 46252586], [12937872, 21962942], [80165326, 99335460], [91550102, 11601174], [27679985, 59845398], [50939830, 72874377], [26638237, 12626275], [3908520, 33523287], [83628198, 89165976], [34682288, 63479346], [76328064, 2423015], [49602700, 71814975], [73256154, 90658970], [50139902, 57198782], [79747344, 78653787], [66277364, 46840506], [96994841, 20287164], [24552685, 23244722], [39402156, 95420263], [24023902, 76193887], [91588237, 23147631], [4584595, 62223145], [64119006, 50543269], [77718060, 28113653], [15994298, 52902734], [73947076, 13725445], [96294381, 34190810], [48538277, 46737189], [81172621, 76131890], [3706409, 14477769], [18033594, 8209212], [15070306, 57461677], [88867242, 84298598], [8759816, 13836531], [76922334, 82677451], [69708687, 98216245], [86750474, 56888271], [42459945, 93575387], [80276963, 91104111], [5019110, 68358099], [38605087, 56473201], [72502469, 69318685], [14592466, 81676373], [61385741, 58030210], [73665731, 92553372], [6632810, 91488046], [29646912, 20425847], [43986889, 54084629], [66201092, 18198125], [47318768, 80736166], [9609645, 52221153], [31681737, 90933634], [16665381, 85928984], [87134173, 21791597], [24362586, 19254886], [66567526, 26313653], [62520746, 96118055], [79882395, 75803202], [32387670, 38432348], [95174141, 71693937], [75263638, 57415135], [92316618, 75448664], [82071932, 85576240], [29201328, 22014230], [44719535, 18624605], [75349635, 57012076], [88747885, 11486661], [17429186, 23119588], [83165555, 39645585], [47430123, 63831167], [16255605, 64188376], [74406665, 58408122], [72240075, 33105486], [8885201, 76624937], [79182321, 98748697], [41519464, 59913883], [32970286, 70907202], [60192203, 2045216], [58560140, 9171856], [12493840, 45923693], [3382706, 31104703], [7225586, 88592870], [48853517, 83100395], [1291311, 73877465], [16929233, 69419403], [14133648, 62542318], [19175695, 12542047], [75311687, 82637284], [69535852, 18925858], [87487734, 62301834], [92061451, 16164223], [59254764, 45731849], [99901569, 67640068], [12040591, 69393991], [44906414, 44291954], [30658155, 81985261], [73106629, 57994731], [7870725, 4368440], [97409089, 67967031], [97738235, 64230776], [24943091, 73326646], [75510733, 8799066], [4577005, 98183318], [6750049, 12068614], [10089692, 74260893], [91839591, 63793437], [48760022, 38409561], [79738250, 78758748], [58221678, 71202335], [8043046, 76177651], [64408459, 84067055], [69454751, 45410078], [31850875, 87366641], [95102517, 74603458], [40727096, 77449021], [93494292, 66150351], [2867004, 42759414], [71367845, 17599382], [68104107, 66164573], [63165665, 17204685], [71942151, 45931388], [65299113, 99070934], [72553371, 59475431], [81620238, 46426537], [66857931, 1685801], [27104589, 98678001], [70821096, 76049622], [30917295, 65195781], [9230291, 85607398], [12721515, 77958588], [36589587, 43674662], [35462929, 11122203], [81983108, 96757221], [2541545, 88425585], [78310592, 66859486], [53543589, 73609080], [21671681, 69930007], [40600104, 47376304], [93803291, 54614610], [97155151, 30119478], [63616796, 3689791], [96246304, 82941378], [59505896, 37058070], [56666665, 10491269], [40291918, 15598325], [49498765, 61871088], [31090124, 99166856], [83605551, 95979052], [98077256, 74759852], [74624530, 94396288], [58931497, 53135467], [90265780, 66177751], [93875832, 72387041], [98543793, 77579157], [36968245, 39922183], [33960473, 14718874], [13399350, 24034680], [2639607, 27037985], [3510755, 13493449], [11524788, 92391293], [53013854, 16759602], [27594311, 11243791], [29146100, 72709950], [94364968, 90867314], [98711933, 8480544], [47553008, 90577255], [29216866, 15062813], [38423662, 5646277], [95666014, 55030402], [59190895, 79742380], [49541794, 3031859], [30333510, 56233000], [78112696, 56325847], [89753812, 94386430], [62768841, 4010239], [22414734, 99881232], [92068920, 74805214], [41576757, 22049014], [40376441, 34855377], [24376207, 52260198], [43904068, 22221513], [73737602, 36469402], [85280462, 37876890], [98381151, 34050640], [52510572, 91872596], [68142639, 48331508], [63389434, 19390183], [13715582, 13536165], [15228799, 45966300], [14352781, 78609119], [50496461, 63933725], [75278254, 92694795], [3587208, 57331667], [66034053, 31346093], [77237419, 12117460], [57140580, 63646622], [7764193, 57497373], [69330483, 33124354], [78012664, 41561010], [91520215, 33060675], [9902538, 43010128], [24746496, 9407089], [95274314, 24162216], [14171675, 70103627], [63854568, 64390986], [70742285, 65815039], [9905028, 49461999], [76468481, 22081925], [71580777, 5567424], [85904722, 18975938], [14251257, 70876860], [35934273, 72943776], [28429166, 74727122], [74828347, 5518496], [99798109, 12381048], [97180042, 11475857], [10514239, 78078446], [97398349, 51317922], [92300141, 85284563], [33388275, 72838457], [1533685, 88616246], [3676174, 74429334], [69832293, 65923585], [72910927, 84074598], [96483895, 13572088], [3362842, 85182553], [61303166, 25948428], [40844439, 41495490], [24512795, 15435234], [18350738, 3776433], [75224988, 18247772], [75662565, 61213765], [8121133, 41381159], [56489319, 35758991], [37412108, 14421406], [29475222, 83038018], [95384247, 27135261], [42338348, 43931405], [92663112, 89655550], [55855995, 86430651], [2627884, 98266470], [61476610, 20567140], [81277895, 14359680], [73657217, 97396211], [64407124, 88463108], [20441542, 86055259], [86106837, 49239333], [20080321, 92446629], [43276469, 6618260], [40631831, 15415342], [68583535, 10570046], [93983827, 83189000], [92728243, 33596493], [4075498, 68369446], [30437945, 55034354], [7484158, 98101091], [89524177, 5511601], [55184665, 68676208], [74238646, 80906615], [65179486, 94429735], [72793336, 80720837], [86158838, 96907795], [23682916, 94456254], [831723, 57730469], [84341552, 32108250], [31935368, 32289758], [81529689, 39426867], [93411950, 76793408], [20993067, 95341972], [39452681, 58807541], [35682295, 89314162], [80052188, 90764608], [31336864, 3979569], [77991585, 59959349], [82687887, 43152165], [65864755, 28218671], [76492473, 49419318], [30847437, 66987020], [96748853, 74525111], [24636963, 27454852], [75061128, 80445686], [58234210, 93897980], [30602562, 70952360], [92322979, 18051525], [13411053, 80784557], [69137947, 24299674], [99274858, 37094813], [82880721, 6689121], [10389049, 46513166], [29479258, 61966246], [43506498, 76343033], [16978090, 75275194], [76438044, 11823339], [45365991, 92291896], [92691727, 76388321], [25842013, 12150166], [68116944, 99372072], [71711586, 76591695], [82133931, 1230131], [39767001, 46313381], [93701591, 90754387], [98289302, 23997387], [28773355, 41736790], [38815015, 48786388], [43732595, 85580821], [39975599, 68107668], [76431007, 61900975], [21848434, 34269228], [31386270, 8318208], [48140446, 25240210], [62685447, 37660142], [69868161, 97656389], [33304306, 49999726], [759162, 88497112], [8980129, 10214042], [3734120, 66640943], [19989366, 73690959], [44601975, 7247619], [11334676, 97272792], [95561104, 34097841], [32473729, 69274004], [16264001, 26073412], [44459632, 84864479], [4787612, 99370291], [72225728, 52242695], [27694048, 25623604], [18456920, 71366181], [27600788, 73851717], [83513393, 73767537], [55583836, 24814723], [41899902, 47740795], [6592658, 27713219], [19639325, 21222125], [68041300, 38026181], [85378406, 99642921], [95737474, 50358715], [45082274, 93461196], [52196973, 50480570], [86591780, 91888031], [87683772, 52256224], [1583233, 12987359], [7402218, 89252218], [37480616, 6296499], [35032365, 27763866], [31997187, 57854377], [73476195, 14533061], [57176566, 8791800], [119374, 44495001], [58812189, 99303767], [40429043, 4329833], [32431633, 73414992], [58773409, 49703497], [13604865, 83054719], [82987691, 87531870], [44402212, 22769544], [68553583, 42667608], [29674839, 98997216], [85119248, 40888515], [96703313, 64693693], [93330856, 14315984], [67560047, 5868939], [99496263, 66056314], [46909164, 29478728], [90511428, 33836170], [78166346, 28755346], [4613278, 13863048], [62400956, 98663966], [28914513, 40215307], [35750493, 93084672], [91470210, 4195028], [83766437, 88929711], [71998766, 68999095], [48994825, 35346779], [38877492, 60208124], [36669398, 60512510], [59483761, 48533896], [7650009, 83085759], [54944687, 46143694], [54987666, 35726555], [69871134, 21903414], [84695472, 91562945], [17254232, 31410792], [25951253, 42337178], [72801702, 88291251], [40629072, 70995945], [35619079, 94043287], [86841825, 80398078], [4937117, 44729195], [43733673, 73950649], [14641961, 34985465], [54252625, 93863916], [63900915, 79301854], [52275826, 52775853], [29610451, 37760944], [63609991, 42620113], [8547726, 45191754], [95302426, 49391105], [88906804, 73255718], [98426649, 27049388], [96528494, 89145342], [16891441, 70250099], [67357407, 42438663], [81661109, 98850319], [84089689, 83449208], [31669684, 43226343], [31707753, 59087875], [76496156, 34147460], [63084727, 54629282], [62582731, 97321551], [55874074, 66211196], [22260820, 51801742], [54780574, 19529462], [4019539, 71426748], [84198110, 45824240], [65457338, 67962087], [21030988, 47861423], [32134294, 72665825], [71614787, 83690110], [21339100, 39184003], [94506940, 77218104], [56433163, 16467012], [17080264, 2823785], [89460153, 43453012], [29809832, 31791142], [87321697, 64763207], [71233151, 3352622], [87157140, 10476447], [49264505, 4238353], [37974967, 56076483], [80746394, 64277755], [83815542, 61668787], [62477057, 36066570], [44714443, 64453083], [29225570, 54847650], [9820127, 67487447], [99103730, 72330000], [23164667, 60609726], [81821011, 69194835], [98331889, 37488966], [20649792, 47273476], [49908661, 13413159], [23503367, 70981686], [50933415, 52427058], [81693083, 14106891], [25916083, 72342606], [31916568, 68322452], [51001870, 32093088], [87921878, 78455943], [11131872, 6779355], [71143997, 96073233], [92582595, 84058102], [64619746, 36487401], [46231141, 81045779], [81321427, 93833588], [20809148, 65804476], [31279278, 58425192], [46718533, 53990933], [80119533, 99297114], [18274247, 63360499], [63197746, 78696326], [61501685, 6913087], [13116876, 66875903], [48293597, 16246448], [68088962, 59949863], [22625553, 93131662], [64360346, 39307374], [50702387, 10908071], [83514537, 3326045], [26062880, 11437725], [45845522, 2724651], [96203732, 56628791], [23865376, 61742598], [1887295, 25393104], [8159801, 91343736], [58005804, 70751653], [70942066, 54859930], [75261040, 93297944], [73310484, 15688074], [29650207, 50874405], [54467400, 96112823], [86302737, 6831243], [80202765, 59086472], [57330563, 67471531], [1910078, 9253213], [19920616, 66231714], [35564885, 71872129], [22308968, 601090], [39726603, 8983680], [6392155, 36418010], [87462726, 59430704], [47896443, 29796761], [70608585, 5827883], [17103980, 14214466], [38773773, 10828475], [58099191, 66587330], [27930333, 48904480], [82071964, 41560862], [86541410, 57576235], [45278275, 67139085], [65687403, 5169196], [51378378, 12386860], [6131954, 87153293], [23207943, 88743024], [49591412, 74208106], [71146530, 48284097], [34891123, 12895511], [23908070, 90121220], [87932791, 78086201], [95421760, 16841078], [65540832, 39114199], [14546421, 43907900], [2806811, 55915215], [92188114, 29996957], [6283858, 49174018], [69259327, 98074994], [84658886, 32536555], [99220814, 61732851], [81449763, 46817564], [69162729, 71873394], [42178389, 73123330], [78790689, 16633726], [34919639, 15726086], [16492990, 89563527], [4072833, 67159555], [56665924, 18365919], [12357419, 8535163], [65389319, 73085381], [38982654, 87981772], [31464433, 97937461], [40092545, 1385221], [14245027, 34975019], [58528517, 53522938], [69861630, 32892920], [13524617, 47028965], [84068328, 85718908], [18754088, 73778325], [67206014, 11864846], [61314095, 22076201], [5096408, 41328946], [76403319, 8720954], [48090929, 32285343], [30958429, 86577997], [58472700, 3257825], [84698406, 67806670], [60420771, 86707045], [19112835, 44184925], [74391353, 7807532], [13242783, 73390892], [64398492, 6697890], [95695614, 76275976], [45453342, 31080189], [94992698, 34677179], [10579492, 7054662], [30120538, 55461391], [47710843, 65462621], [18781460, 20715192], [79523412, 49738078], [80750757, 73168213], [12643663, 97431256], [754860, 46531174], [77359635, 30953773], [99589951, 73560907], [19329367, 37568211], [28874655, 94639296], [28449794, 74481811], [46477128, 75231880], [5959846, 61956382], [22802555, 35135486], [21127911, 49196619], [37328425, 50194705], [23603939, 65424452], [50780760, 26067057], [20127430, 97809350], [698231, 54151965], [54540031, 60770147], [32982204, 25819981], [58855288, 68929508], [74664190, 33178064], [73225594, 9689949], [82474730, 84757116], [3397822, 4680292], [90099680, 55967717], [47308127, 66466899], [76250443, 21617111], [2528139, 91471326], [27859501, 65580665], [75313249, 87209113], [6558540, 44822197], [15847951, 67238190], [64190752, 72364130], [17224331, 33640448], [69889602, 52620195], [67362967, 85919385], [36914684, 59374085], [25757337, 48720419], [4740338, 64357097], [38736525, 29692488], [10322232, 74777787], [40227344, 44774433], [94493523, 92248827], [68771551, 98502511], [87674307, 60264759], [12623416, 98170905], [49165988, 22266496], [49846959, 22220166], [46842968, 30077564], [15770910, 85280853], [99628339, 29697617], [31718898, 38055811], [4066493, 26824704], [79222593, 86787593], [64014148, 87374431], [44388447, 47696521], [82039486, 64615906], [4348457, 54992242], [28782553, 24744663], [43949810, 41360865], [42506599, 77379455], [21454802, 92435425], [49468811, 22726110], [84048220, 81379802], [23638300, 18877052], [61315621, 13621159], [27700522, 62516175], [8984962, 50090346], [96605707, 36908315], [67904786, 35652661], [65346949, 19852115], [86525024, 17873206], [91443986, 28690629], [46399148, 92539534], [67347521, 8874260], [40538515, 14999389], [36774572, 3013440], [62277151, 81177431], [84425078, 89191114], [14305626, 75135556], [16933122, 72353407], [38655350, 41080305], [38882961, 93744387], [51951436, 13550210], [4135946, 87064600], [66018664, 8860040], [98639629, 95892493], [19661567, 28518999], [14840328, 68893188], [18345160, 42662560], [5162788, 88395334], [30673635, 49769022], [53913047, 83544753], [25495869, 13462072], [85593330, 72242241], [86997357, 99280736], [82519646, 96240240], [57580420, 16297280], [69005675, 37736605], [8137497, 90733597], [76568505, 96171155], [96800460, 74315381], [99259816, 44396588], [19669829, 22746950], [70672340, 73348187], [8715407, 92098532], [99086158, 26523792], [15823632, 96850918], [31805022, 20183856], [19998346, 4645940], [85455661, 10476864], [2715142, 68491765], [86949512, 96451228], [66977014, 23573528], [93320565, 17753815], [4138483, 2542150], [71783177, 14384509], [33169671, 24995708], [7212649, 6819263], [6276980, 96494381], [35552505, 60893569], [33112639, 85957959], [19376414, 32792505], [26936616, 81115135], [90072775, 69611791], [75256115, 35615418], [65651994, 11526785], [65751045, 96664946], [64275778, 88936923], [42984915, 88011423], [61068279, 94786007], [32983665, 16340610], [99076390, 9835526], [65589811, 96783054], [77843859, 79798981], [9199820, 93916175], [52241908, 84355047], [12497684, 18212276], [80927237, 38075687], [45465832, 79665317], [80860805, 18815466], [24506668, 85622236], [68136701, 9514657], [15196892, 53899353], [10489314, 75833209], [21721126, 13418363], [6487747, 32071853], [60623835, 98642049], [95552952, 49870169], [92554026, 56706788], [63437164, 90959494], [54648312, 86376168], [12855253, 43577025], [53586236, 46388218], [18923842, 43639113], [92483843, 17171665], [1493063, 54030960], [67773738, 94300844], [61200801, 93742117], [34835702, 70836036], [28918695, 87859938], [939242, 8429202], [44471172, 66851410], [68044384, 63934684], [36299962, 45326512], [31473560, 25794849], [76895152, 44925523], [87320848, 21498680], [68777712, 55185939], [36905603, 3204921], [20923050, 19974326], [7896590, 8534947], [49140539, 26744061], [67545606, 15723699], [76173716, 48071104], [71107525, 73298052], [10752979, 12001211], [64062366, 98906014], [95217739, 96043348], [12840190, 89726623], [92108712, 79841955], [4239159, 74946691], [214010, 51519281], [96451512, 95111448], [30428525, 61267278], [32274452, 28735160], [61330679, 19517686], [33442152, 90970750], [52823663, 78574530], [2421398, 1202516], [79864988, 88546481], [69417311, 31437630], [41138717, 91697975], [94996987, 22871597], [60435683, 93017005], [91659747, 46361141], [93795991, 95118785], [5874725, 74960324], [96793434, 94623928], [72523581, 83104185], [39823951, 2455341], [60483691, 19766832], [78694822, 67125537], [83539442, 44264480], [15080574, 27649750], [75887100, 55039044], [96813896, 98705959], [28594014, 11607381], [6738705, 7842101], [34964614, 97820949], [7788461, 35696032], [44152272, 22848100], [82640127, 72593755], [72761792, 58352316], [14922221, 52635375], [23536474, 34244015], [2342900, 23316571], [53057245, 40421908], [14267413, 27317071], [89664361, 69222738], [83361659, 67410328], [16905856, 5948387], [16460699, 43637914], [38935849, 26914007], [23561605, 51222953], [45963959, 46309263], [84561394, 58432141], [15888921, 3076461], [55042128, 24487799], [97446660, 21269642], [12305563, 80981315], [85772368, 32601336], [54725768, 29530319], [37595109, 76912795], [96345836, 66495830], [44263523, 39562028], [54275490, 66764916], [28093764, 96280267], [82212338, 94878275], [78609289, 59157395], [79237367, 67111510], [79443215, 5035590], [90214471, 68054888], [90311690, 96432942], [76059903, 79610079], [44190840, 11432316], [16605425, 21647962], [49705939, 77495095], [36294411, 19544862], [60961900, 72604650], [34967767, 172543], [96315592, 86344028], [94221264, 12239154], [46381081, 70263620], [2823060, 74493782], [67570541, 14580590], [93988511, 38456175], [32352017, 37512149], [80815596, 55208353], [71148781, 63798392], [13269103, 49357042], [8892361, 34557998], [8745784, 63370095], [44232017, 18333611], [16927627, 52403473], [59335491, 12918868], [5320915, 79736626], [66700558, 64539305], [53418003, 33966956], [25655408, 93450742], [47242872, 82736565], [64260866, 17665761], [43581753, 11816939], [79149829, 86419372], [19373053, 89359319], [16855112, 17109676], [10099662, 45165084], [12322079, 78330024], [15942653, 7990657], [99872617, 42463573], [56831749, 66355460], [20055180, 22723392], [75563182, 36762177], [22393929, 30014186], [10750215, 1042583], [35368823, 25977655], [38883380, 48181247], [55436578, 723521], [89065763, 9617892], [97014660, 52972633], [49108053, 64346007], [60636349, 35303380], [62500895, 53223713], [43000317, 6691329], [54859559, 24673148], [90858686, 74771055], [74902070, 10061382], [59241027, 22968978], [16018424, 91427560], [63550805, 91955834], [85205238, 50221680], [26764767, 58939892], [57437901, 63631680], [74976637, 68518764], [4467543, 75809264], [79121591, 86389666], [42755088, 62742483], [88740927, 21635225], [14532050, 86180836], [52271417, 75440001], [75577747, 92037459], [92118937, 49081951], [96628892, 21701743], [80604052, 30600546], [88489012, 91663611], [22430537, 21377758], [69680473, 44611475], [35418141, 24683093], [99298998, 81622044], [77813459, 15034441], [89466983, 2859405], [74266372, 17088386], [40917403, 71779654], [316913, 33422628], [83941190, 99421047], [47197252, 91217238], [30341202, 9057743], [25070596, 45078519], [59446725, 17896969], [85282227, 31136498], [71005770, 66806152], [97364533, 99982986], [57271309, 90399589], [64543203, 65458579], [53250163, 29236516], [23721811, 53921907], [76418918, 35089375], [99930157, 36563740], [70524922, 86531650], [68839378, 41978308], [52824333, 78728797], [69721581, 67259440], [11544841, 27963533], [64828623, 77536743], [59564908, 15766066], [54416515, 80059935], [97421650, 94336467], [55289966, 72144713], [9196642, 96668588], [93358746, 27290275], [48554119, 3126792], [66565358, 46156886], [74260245, 79480866], [13558955, 82344445], [76488436, 12682542], [46607098, 66724709], [87714733, 59288316], [59055785, 21274562], [57810202, 13771385], [5667740, 8502850], [83173819, 5814758], [20444643, 56345299], [55557756, 75054125], [38266764, 56256373], [17653557, 17880864], [14178435, 28495331], [75575460, 95081508], [68160045, 85895522], [43371251, 96990306], [57354465, 61721945], [65700654, 61888794], [41563012, 69778189], [79552094, 22965194], [79361563, 90160817], [65447257, 69057138], [37647680, 69541876], [57218722, 65190300], [84485015, 21555772], [12281126, 2660485], [56013848, 4066134], [81250384, 17917583], [26569320, 66676531], [12215232, 39366430], [20853683, 61171406], [77121073, 37131480], [96853440, 54381737], [97260428, 56623595], [91257162, 97478557], [34029645, 93483583], [9307334, 14095737], [85892661, 95090659], [39439035, 65965110], [91139080, 97757050], [5548423, 35689889], [7174602, 15249469], [56454217, 51964318], [50546364, 86968281], [51376828, 87611486], [21403980, 34844072], [52297099, 4121994], [9132191, 59003719], [57783612, 86223534], [96521798, 51174392], [90915405, 72760650], [78456108, 96128359], [12994374, 27433313], [44810407, 82822740], [91289416, 5726876], [4272222, 63936601], [20725236, 79582961], [27381797, 63350174], [45763174, 28048833], [5407455, 21149126], [75402336, 76334008], [95304332, 55935939], [54270412, 2298698], [15367043, 94416385], [40573901, 57653904], [38039087, 57543553], [15054459, 66782861], [93373073, 86988312], [94634277, 38041343], [21894557, 1528441], [51925169, 74971343], [33595141, 60787562], [50069611, 59381837], [15310374, 94917763], [40337488, 21377921], [39991783, 97118964], [84059311, 76007077], [74511353, 79699683], [66858458, 25962851], [59207208, 75186845], [23037033, 44017714], [78097180, 95891827], [9685648, 81104649], [59964668, 44343602], [28411253, 62774906], [94626685, 8795518], [25131760, 89911833], [39841963, 72277770], [15262756, 41167644], [15077757, 32996565], [59554422, 96392026], [73303066, 41284507], [74765654, 96762017], [22794824, 29749288], [94534042, 98216297], [86679361, 79425980], [13437349, 73748837], [38305115, 97552748], [76206637, 49875122], [59065469, 68314320], [9118931, 62371289], [10580414, 78363795], [88214589, 85302057], [17712417, 24883925], [39957789, 32972037], [79279211, 33378953], [80036084, 33011738], [22524896, 94601287], [2271482, 88481631], [77202966, 54377344], [76976176, 35375867], [95942670, 16665066], [73303251, 30870038], [14892531, 96999196], [20540816, 76807853], [19432148, 91775786], [49784875, 15048085], [29071657, 81780660], [16414121, 7180603], [85521344, 81964629], [43193530, 12236382], [79535106, 58884032], [71977666, 34624146], [32950425, 2459379], [11902049, 148835], [8692903, 27666964], [65349465, 91933952], [38539210, 42698144], [69598959, 40727908], [74981996, 96503392], [77941557, 74002879], [31937127, 14742978], [99880580, 25424248], [7504947, 4489474], [67352158, 85499275], [88797930, 29013839], [12220343, 79880078], [18522472, 3016902], [94040269, 71759629], [29931020, 52494546], [57319407, 34839497], [14791353, 7199638], [70453153, 59319492], [50845472, 449496], [8002419, 90808643], [58646895, 75564798], [41403288, 8772264], [71636206, 65263049], [45272414, 80026308], [62786555, 3579255], [78088366, 19005171], [80956159, 27636085], [45918842, 66832843], [50011046, 22963308], [53091102, 34029328], [48001500, 35296573], [1767821, 90496546], [4368048, 87374315], [79620446, 69100049], [76921400, 93491184], [36383634, 16020520], [49209330, 74446875], [29024211, 19264144], [13016074, 62495875], [55701673, 11666544], [53513510, 54674697], [23844949, 75278770], [2726649, 9282207], [41924608, 71554846], [72310438, 12133701], [60740889, 28095387], [57441439, 81191949], [87750256, 80086989], [1319818, 51262245], [49894022, 41099781], [10073331, 19942946], [25804441, 9477585], [54819200, 24102552], [66130061, 40901178], [65536497, 61371921], [32261523, 21682296], [16992502, 84767074], [92756874, 64652389], [64662391, 81822], [71735359, 14725361], [91068416, 3807312], [81902487, 44404949], [99457272, 34453945], [67267636, 62039252], [42759610, 28910657], [1465677, 2496215], [365546, 35580326], [44742700, 69048648], [48257462, 8674570], [22742323, 79983221], [49087365, 37084952], [20513598, 88217236], [40308783, 87944509], [85050566, 877534], [5236342, 2174441], [38977153, 61744154], [66269203, 69179472], [22600482, 95817626], [84717965, 71231013], [66021183, 91072525], [33956569, 24670093], [36250520, 78502591], [1530028, 35059441], [75384355, 80996922], [3146023, 57613855], [78320300, 54467568], [33802484, 83060668], [25496032, 99597166], [7583038, 42719138], [90289020, 10730394], [40792698, 62644135], [28907696, 36422078], [31878105, 47276384], [61945624, 39288688], [80115714, 89350714], [97831137, 64461200], [23933919, 85830952], [44490144, 8164932], [22066090, 92437415], [4388703, 66887369], [12663168, 25336466], [75026827, 2871929], [85944648, 1029418], [90693832, 28030239], [23489324, 4494891], [90445461, 15976897], [12317730, 14397094], [67347276, 79763773], [38664533, 51082752], [10745418, 94898218], [82371828, 97320839], [8954274, 47758593], [80638747, 96360864], [70057979, 15762337], [21315798, 25940516], [97447175, 43785518], [82467268, 53863413], [12344614, 7519583], [52725199, 36501642], [59448752, 93660172], [93936650, 80334184], [24273437, 96901257], [39015254, 96755665], [9182870, 67770596], [88216051, 71330883], [36817098, 78206002], [50215433, 85430434], [62706136, 64749547], [53245449, 89274352], [84559858, 14821597], [53658706, 82396779], [27116738, 59563100], [37893522, 52211142], [60316703, 90518531], [13930845, 45233200], [85979861, 1012020], [87001714, 74563610], [10419516, 3476], [22831948, 68889177], [3735138, 27013608], [72786067, 42856814], [93416598, 1779779], [65610297, 3907310], [40302828, 45058113], [89387577, 9955460], [86562926, 88581516], [92539460, 33509026], [77866121, 31151767], [33133695, 25753417], [90806044, 27285903], [20460220, 83774893], [83712216, 33308764], [21072818, 21112902], [15922401, 45142268], [80561331, 26088567], [29135956, 88762897], [35309289, 81493276], [29602326, 22789559], [12348072, 88732983], [81925755, 33030686], [7306617, 58476422], [65310126, 96015148], [59695675, 23896431], [79871929, 55265899], [82937494, 42905579], [3350438, 37933781], [32872312, 54686641], [15724145, 29292876], [42024856, 5901085], [99088495, 22328611], [91552428, 98655631], [51040507, 73004989], [36689282, 22237162], [32606491, 94188542], [2836549, 3936114], [30354965, 40738673], [4515970, 62396836], [78831787, 2271769], [83930409, 89431742], [4021591, 22549428], [88588146, 10191552], [5423031, 23699608], [65286472, 79797470], [84295950, 13779563], [82422984, 48340706], [10402218, 7640775], [86785201, 4885836], [56116642, 23324195], [55423501, 6401819], [83834219, 12481994], [78063763, 46257091], [92145900, 19870037], [18193632, 46467904], [30879816, 74285525], [78880568, 52023308], [94002357, 94622347], [13083537, 75686094], [71279902, 91084769], [62578589, 93214089], [74785373, 98735748], [7367342, 47106853], [49884685, 30585259], [88053498, 29434880], [52934857, 86331206], [40422258, 34819321], [1689705, 34385729], [59896590, 26600769], [26709907, 7335627], [90169553, 94684888], [76216696, 62384644], [32014615, 35690309], [49067659, 15881382], [11555819, 84406004], [31930887, 88396262], [90675151, 77898679], [77603367, 15960035], [43489508, 77846746], [86041824, 82726050], [20477426, 48514717], [92918361, 98657134], [27185552, 15575993], [8364660, 60139923], [68557596, 86881583], [10049817, 20048949], [44565200, 60476894], [24022959, 48438676], [92442943, 71726620], [26535122, 25156778], [77076618, 35296424], [10543992, 72511046], [47491926, 13268971], [40309058, 46487188], [49857377, 97055164], [67639756, 99131235], [72546823, 27103754], [24971636, 38764707], [60559087, 11746836], [103975, 41809399], [43622412, 14398318], [95491331, 14749437], [7659216, 6044998], [38143892, 9180569], [9820473, 21092645], [47198544, 96924361], [79603809, 64515531], [26032529, 84561194], [58851749, 11900084], [44994886, 4514264], [75493105, 51105644], [65233461, 2126501], [5303755, 18537733], [6062910, 62810824], [17909848, 91059393], [2133693, 79977434], [63862665, 5622140], [65737929, 42775804], [63666384, 72366462], [27644629, 52228835], [10851472, 81615464], [96887107, 90262958], [89487980, 97721408], [91016028, 83776327], [82648551, 14201148], [80155972, 99634260], [86635541, 81087699], [60757320, 80451247], [27869020, 77239890], [6799206, 38740824], [84043233, 35810890], [6596802, 30566043], [91961634, 16392123], [86247514, 92045810], [86679917, 22694743], [68656814, 89872674], [43505660, 53408905], [14804229, 45002511], [29882727, 58873924], [10951399, 60345864], [34507014, 55989586], [89171307, 68405474], [21695432, 7034341], [27753726, 37397738], [33804147, 91784443], [7900382, 5105443], [53677478, 40260605], [73181803, 56190848], [97825077, 91808978], [19176995, 99884857], [41994782, 19900012], [75824408, 5512576], [36948878, 34732558], [16872337, 44189783], [87334751, 84331010], [97709411, 30874046], [59266456, 82061372], [70300087, 4936359], [16128447, 46355170], [70440863, 20131560], [1703652, 45039834], [88657147, 61054735], [14713481, 66943764], [35067598, 70501571], [62013680, 9118154], [6144330, 10733819], [65502213, 25466788], [82652549, 36442835], [20420003, 79048093], [44504610, 99007673], [90200092, 95877894], [72738713, 78304098], [16248896, 37900781], [60570385, 55735075], [6879839, 91424972], [78144133, 42430807], [39249051, 9480829], [45944875, 76772367], [86854809, 17104066], [66693781, 79574557], [76746789, 99364734], [69254592, 47665142], [9506799, 47125309], [1031327, 22026855], [31039914, 5700593], [42168013, 5307632], [12362684, 48036763], [70252238, 26736053], [18268506, 99212842], [56385156, 69859360], [78209121, 18280624], [69973421, 7904646], [14840589, 72555606], [66662514, 33636165], [68489753, 15910389], [12546558, 45128020], [90665462, 46551800], [82546389, 8526000], [81947149, 69861764], [5864834, 57601791], [54006864, 61327215], [71040180, 26006221], [6218536, 51203601], [83467643, 39533646], [57936632, 4123866], [55913372, 64298504], [31632525, 27836754], [11551536, 20640613], [19479080, 56508674], [50120329, 53395319], [7098495, 77718911], [32205836, 98488393], [44151262, 97560661], [58786569, 95833923], [61012706, 70885564], [11161376, 20287379], [69604771, 6414178], [17582396, 84649633], [37376330, 80448353], [89227635, 87218522], [4797119, 2924229], [58883057, 36608249], [66990649, 80663741], [85263461, 37920573], [10979677, 81328685], [85554016, 86092784], [89001614, 2478568], [74395884, 77720228], [13480886, 29986476], [6337575, 85906460], [86836638, 30736670], [28121476, 29272687], [36334856, 1791995], [55845779, 7805312], [14976772, 85664100], [44811266, 48276360], [75012276, 74381437], [66802122, 39906498], [43430092, 78895052], [56335933, 60362556], [59126765, 16005187], [47311700, 5269714], [51100896, 66314686], [53295017, 41677378], [91524116, 38226305], [65768125, 84287777], [6529566, 49747224], [87818037, 50476818], [93257658, 36570604], [45732754, 5355826], [72952495, 72657101], [73104170, 94356410], [27176650, 93013755], [45353518, 16463290], [83749703, 66092249], [12151427, 50422104], [89210537, 42792006], [66328600, 16209182], [81452140, 81831030], [21446836, 64235055], [31319459, 16526699], [52520025, 58474281], [38111984, 19455768], [16136253, 65159639], [8736419, 60366155], [85446297, 37185122], [70792524, 30837612], [82525088, 75008296], [14413519, 66427004], [5785239, 7678872], [78636115, 45598944], [78455362, 18949255], [9552693, 12737016], [62907963, 64839565], [50300640, 44995052], [12759392, 49516298], [66225445, 38382889], [74254542, 97046203], [522471, 14715001], [64529277, 21577548], [85314133, 84276642], [85525025, 78546292], [98965807, 38111960], [44836718, 12604356], [73762254, 50258534], [45555507, 73397702], [42926021, 90321620], [58265682, 86322706], [95313445, 54038930], [11169735, 77449627], [24912815, 78393471], [96356440, 97437121], [1861480, 85474043], [18141617, 51705582], [66033775, 17124722], [44352697, 21035493], [78185235, 42868407], [85090939, 60870312], [6168182, 73829610], [25153385, 18888357], [35259058, 13671243], [47870096, 87854025], [29345191, 68077432], [3692769, 97789831], [75849310, 27892252], [90986456, 23133489], [51755618, 64106458], [72727887, 79167925], [34540663, 76090537], [79593676, 83869848], [51441478, 65331845], [42409255, 33103288], [6213341, 56992599], [21181700, 26188481], [69137292, 1196424], [39688328, 865457], [52795932, 4212608], [68035803, 48983472], [27941629, 47187400], [39749972, 89443857], [23024532, 82979359], [2189850, 53058634], [42384195, 60840885], [12493700, 75902895], [2463706, 66466387], [59837134, 38418624], [37436675, 67463670], [9033320, 37342629], [48735050, 56608813], [28757810, 68363050], [81050639, 61456701], [96457246, 94448485], [60524416, 18081250], [58659443, 70698402], [86496702, 91874928], [57403033, 51228069], [72880398, 39666130], [65110459, 69287667], [91433540, 95821660], [83449419, 73813269], [79295745, 62850634], [75493577, 87074294], [83620092, 32541943], [96407534, 89144313], [29773589, 1903904], [973861, 56140897], [29624381, 31722997], [6027743, 15050377], [67014772, 3836740], [6642390, 66343544], [25182974, 147013], [98952285, 16794745], [91548589, 40931020], [88760052, 57000427], [12483157, 19816504], [51253657, 24618899], [15439566, 44673418], [26578046, 82858203], [39111415, 97071412], [47380859, 24389028], [27986531, 68083453], [7390662, 24374454], [73764102, 12113631], [33401139, 30312373], [62051202, 31373494], [55757185, 57113560], [54687486, 65094918], [92972610, 11238515], [2711491, 69438492], [98316012, 10443002], [24511362, 88195759], [31563219, 93367558], [41871589, 91544184], [96657923, 18918921], [48307476, 53259825], [44935243, 40263301], [35075461, 61771570], [23173331, 5436217], [77426685, 91275473], [81600277, 4833624], [53054210, 8323516], [97693035, 32498234], [31132506, 39683015], [80344827, 78963188], [76242617, 26002154], [84734150, 18204377], [20399583, 46547118], [65227493, 40911478], [19084897, 89273314], [59625509, 7472993], [56165924, 67473348], [36420535, 88328616], [68334555, 38608858], [74581025, 44361585], [94486892, 6444021], [34815068, 28435478], [51969449, 88811630], [96212990, 99446410], [17943613, 78926439], [26623417, 56143029], [7414188, 79330169], [70359319, 10325595], [6549633, 4203071], [34084859, 54062388], [39816068, 89973970], [75419777, 97527443], [56950386, 96725673], [12231903, 23909886], [78506940, 66393007], [10812210, 13333575], [83557427, 79194714], [47481196, 5622487], [75488780, 99023624], [56503164, 2218049], [36237199, 39735715], [4707935, 42054837], [8710359, 26623204], [96797615, 37372253], [37790082, 21949907], [62468148, 97586289], [84613643, 84908017], [8763236, 86415929], [45540784, 2582425], [9952794, 30255511], [71349893, 73673947], [20396141, 35329277], [25772979, 10134042], [39589995, 59436207], [28428970, 69000235], [82064088, 6804045], [83294997, 1664468], [59820794, 20355754], [79418498, 42802527], [51284699, 56357224], [65446332, 88513395], [65368248, 63111179], [89693105, 54149391], [18367300, 42527635], [68814850, 90355759], [73858118, 73844599], [93971474, 424987], [56068532, 27679258], [45372810, 2601750], [95347382, 88609345], [93073378, 19015541], [31540224, 69848146], [40411033, 4300079], [83140421, 59031170], [99258279, 22752000], [91082835, 70494667], [1790198, 96789515], [14362024, 13257173], [35396268, 94004468], [52163449, 63153976], [56443649, 85083832], [77989486, 89870210], [17197518, 76147846], [26744980, 3327556], [5023295, 19088567], [20473464, 72814419], [52917190, 57343554], [89634412, 35069575], [93717932, 57925049], [85591290, 30911507], [7720272, 29738878], [23459523, 74322852], [92871648, 29428815], [79541946, 24056612], [86313911, 96229823], [64024097, 47020368], [64756100, 86179732], [33693183, 40291904], [90512766, 64858146], [15920161, 14771420], [97568860, 69994829], [3147527, 20920980], [2303309, 66748646], [31719751, 59870161], [55953196, 42362679], [57092847, 35487380], [95933043, 43937216], [75523935, 78450035], [4033738, 19479066], [33735303, 56100366], [44889574, 55872963], [2183142, 1244800], [59868412, 78737713], [66501587, 71019051], [46450168, 96325195], [7244006, 44901801], [8625580, 22078059], [4485435, 18526779], [86933775, 38772795], [83000228, 35526805], [73664678, 50673180], [66187294, 80681436], [28149327, 39190505], [83804781, 83726026], [56009422, 24988501], [11278942, 38677041], [65391593, 76516573], [21579706, 8868797], [22935437, 81536541], [10841320, 13476105], [53235735, 36394182], [35371727, 90013761], [2946772, 29561073], [45756240, 23477618], [45331376, 62968304], [5590468, 13304655], [50475005, 98658882], [29561652, 96558590], [7694405, 28733909], [41899711, 88648471], [14572752, 90995850], [61281118, 97323119], [30352255, 68048675], [54346948, 62788297], [67775129, 16260371], [63597695, 51538251], [47055039, 90339999], [1843044, 16487215], [26911377, 13437411], [31390149, 74499486], [73151968, 78507978], [76646492, 1783789], [11007290, 25124959], [38439581, 7201326], [35023252, 84646851], [42752138, 79672268], [71098512, 63103122], [83905618, 6488838], [47469456, 83885908], [49339158, 58293701], [70332404, 43232975], [42307829, 16696195], [86428154, 42905015], [20292542, 25719132], [68987093, 69852356], [69180718, 15354653], [75808305, 40209824], [5409040, 16667131], [57069418, 14919965], [67485911, 43809971], [4267193, 63720232], [78824921, 15393830], [96998062, 63622446], [96063519, 69405243], [44417234, 44276798], [31989342, 22459315], [71405727, 60932466], [8348169, 2015429], [15847522, 47776474], [69525928, 8014074], [60603987, 88856818], [96791396, 6521283], [18547846, 43312334], [19563368, 78773008], [98256837, 48386357], [16852244, 35728265], [42548904, 51501843], [23513925, 96461039], [15456328, 42448422], [5207805, 14238743], [42178139, 95189811], [28949579, 2729780], [83120111, 14047454], [82238880, 34567035], [40691149, 8875317], [31796415, 84352727], [46252241, 78066964], [81839819, 57119313], [8378060, 43952852], [59576091, 94986693], [89262051, 11621632], [49838249, 96725450], [90566913, 73973115], [50702747, 2351568], [33828994, 75123387], [70196148, 30929848], [66245753, 68264563], [54090588, 84211516], [62166808, 44821160], [9186796, 59750425], [59471924, 6094075], [81963819, 11513929], [745530, 50832546], [99982295, 23616851], [70314613, 94769825], [15720718, 17221419], [88889366, 79520628], [4423656, 42949466], [2245907, 32067284], [26867511, 2785887], [66732886, 10091424], [89512583, 94536872], [77576243, 97248776], [59986717, 15716575], [22933038, 91228192], [22103625, 25742115], [6414912, 15737807], [96364311, 99858557], [38701964, 3787938], [32908335, 34539881], [41661725, 81094481], [3182958, 12723353], [9412064, 86007899], [4569014, 50871914], [89285339, 45743639], [47928260, 67529483], [54741267, 31867438], [81746613, 97689296], [70970547, 5627600], [95738110, 16584080], [63679500, 21239086], [19627590, 6947489], [86989655, 44737592], [6781068, 10543055], [57657176, 61730557], [69632486, 11417317], [1001012, 78865254], [71605091, 81200643], [17693794, 17972471], [13326516, 18750518], [40080920, 49070761], [99460113, 74493806], [79101328, 40105018], [57576967, 33064512], [65080031, 70667773], [48170438, 36917396], [26600965, 62745713], [72881909, 50172430], [2195831, 59021423], [18872293, 75452017], [8115800, 73146649], [24052352, 25187867], [8583236, 63675383], [38816904, 54708867], [52526797, 88496306], [30307108, 66220469], [28000967, 74688104], [52301256, 44744258], [99583060, 28732759], [19547622, 92724059], [69565778, 70197142], [22867084, 43096571], [92329547, 33544193], [66042264, 8989476], [14697198, 71709470], [11389800, 95361126], [539449, 15649600], [52822750, 9217251], [77176464, 46847730], [98675040, 46875978], [47778799, 84582820], [80554290, 6336156], [24878670, 49571547], [70701956, 57808682], [91308088, 54439558], [12810599, 9760212], [31977948, 67616318], [26326482, 56910241], [70413119, 69909803], [15120960, 43971866], [83522045, 84749809], [88593950, 40163313], [66060746, 1713749], [36061091, 99619272], [21538888, 48820119], [7013600, 69039735], [46951580, 28444377], [96245125, 7769114], [22315742, 47076117], [15227929, 82555073], [190195, 83272819], [69012057, 29454698], [38502339, 47005030], [16904425, 65538024], [61907783, 40269794], [58178178, 56539238], [77539069, 6870200], [65873202, 72660314], [90994628, 12496459], [91036078, 15735882], [87453546, 33296551], [46303282, 59605239], [13854852, 60841128], [17299900, 28186999], [75179441, 96606815], [70007513, 3169769], [89274355, 29972934], [26655487, 9394006], [75315439, 52158935], [45416102, 83584227], [78016589, 90653587], [18033589, 18759077], [60783029, 14378736], [83675493, 25373457], [19321901, 17513081], [46895982, 27940751], [24675951, 97494505], [17181496, 98303233], [18961670, 96100300], [51029082, 76788048], [72211114, 98926084], [15741120, 8384168], [24700691, 11358031], [49244578, 31376409], [33660072, 29447252], [66515069, 62821903], [28956508, 52837961], [65457086, 46463746], [83538976, 49573031], [72048227, 83019670], [82776036, 72141459], [53475606, 5882813], [23556050, 75907554], [96785267, 86539101], [30732956, 14551899], [27483099, 34592671], [88326945, 63044553], [31686455, 17615476], [42182620, 55696232], [1815131, 79296112], [95459274, 89898668], [79144256, 15208984], [75305945, 22159251], [72091944, 84454904], [37303458, 17446171], [86185304, 80956713], [6913671, 64047374], [80216109, 55092323], [6859277, 70453153], [92039919, 98114360], [75221179, 17267154], [56674889, 53885566], [75815089, 53008351], [62420221, 88543832], [64486676, 72012049], [6607965, 99772567], [91373903, 11233886], [54420090, 20197759], [23142698, 4726363], [83805267, 73673219], [96958965, 40866081], [90754832, 41573809], [74697825, 32956057], [56104356, 64643476], [9266219, 13546735], [43279714, 55050113], [85691827, 35066040], [46453818, 88584100], [15248386, 57718061], [62328491, 43438298], [19124201, 8763350], [37708561, 2033102], [72114366, 80327281], [62562096, 94540582], [91702428, 78082773], [18739560, 93360954], [66037606, 39024175], [2718139, 37859802], [99016906, 58590857], [38862131, 1938128], [86086591, 22867975], [73685276, 17634219], [69300116, 57745181], [35771819, 71790045], [95270088, 36055039], [57499376, 84580348], [19014942, 78084951], [49399025, 23219944], [61531897, 64080844], [1607867, 760759], [86047225, 60378027], [33271487, 61256730], [26430475, 266329], [73830649, 93695366], [221367, 43206790], [43168534, 54408037], [95077621, 98845836], [22247926, 26640341], [67244635, 69857006], [42579475, 75853829], [29068447, 2284556], [10419980, 81364998], [76920328, 80794645], [78162462, 90732546], [372369, 90003450], [58670226, 82847342], [46460340, 58816268], [77904523, 68565140], [15806046, 33344638], [91181861, 77095027], [56310172, 79127338], [27030312, 97070118], [70374866, 22376287], [74108271, 74969526], [28902967, 20205999], [73290824, 16943722], [12203724, 20586048], [48754821, 32434785], [56527390, 93725830], [45777076, 24376730], [3411106, 23777385], [14473472, 29499525], [86707582, 55139535], [79022644, 42822804], [76591912, 10933693], [50302215, 29647707], [74350764, 54178506], [24942852, 40357727], [42285947, 10562498], [13753298, 50525609], [78330428, 3468890], [16680926, 21143253], [64807226, 72240604], [14031457, 63758783], [91567720, 73056677], [68824843, 45926097], [83344393, 71615258], [54203646, 30788839], [86381438, 11979199], [84175215, 95538089], [20006189, 27602306], [69999286, 48769088], [32569823, 33839122], [79691693, 95508913], [13803553, 20594751], [10036795, 96273499], [54263395, 90184103], [85307544, 19228630], [95717286, 97776655], [42520427, 79686936], [59864314, 53140849], [76283370, 30653764], [1618509, 44263367], [84137144, 68481620], [50392889, 50354439], [17358013, 6534957], [28415215, 71173247], [41039029, 47402104], [97899285, 97681976], [76088370, 94561185], [32879069, 23123148], [44990037, 86231843], [27356685, 35601749], [74853635, 32124297], [1154501, 40815183], [78802787, 17986176], [20544291, 67975503], [80982939, 77281869], [33691766, 84326588], [36289161, 94864093], [50415528, 32562957], [31609668, 1691260], [98800533, 37444905], [64894, 79394847], [53525427, 57738476], [2436787, 48048326], [70549205, 32139482], [91641811, 87083491], [96121799, 19203463], [85247032, 73158218], [29115456, 17667437], [32364842, 71161208], [33874226, 90224799], [26728796, 63120026], [70586680, 41971173], [19275934, 88526748], [31847638, 79802038], [12301733, 4655260], [23471821, 46174161], [99239914, 84751663], [23771923, 32079002], [74082570, 62521061], [88917077, 32082086], [34734347, 81387284], [11889878, 21059160], [64555177, 56878809], [44962604, 38522963], [26710625, 5205947], [6369866, 63678401], [84768350, 11430275], [28299317, 77536890], [9599479, 37367929], [64566967, 66501773], [10240979, 73967272], [87827787, 55642909], [73869903, 75731433], [13512577, 95590158], [29935599, 54135491], [56223768, 32981638], [1734710, 10521325], [86271338, 5724136], [11433338, 76919390], [26565538, 97312542], [80014979, 67092322], [72623377, 16222074], [26799276, 36976518], [83373802, 57953522], [63685092, 19237583], [89518012, 33005425], [19121240, 32864332], [39440747, 65309216], [84482925, 44634380], [51873411, 43162347], [34771951, 36820631], [41076778, 35807815], [69631349, 14265434], [97566469, 93394376], [7805013, 34874924], [61430179, 52519061], [87709843, 54415492], [80098372, 54528648], [11976184, 67369047], [73632465, 78104133], [27052614, 93467564], [64153629, 2492829], [6466925, 91210369], [55478465, 6710009], [45769796, 72902579], [83664591, 54322927], [10094052, 46617643], [81514417, 99536869], [89429768, 33930636], [84868589, 96099150], [31878748, 71783841], [66052280, 52762339], [9011048, 36902641], [53922452, 44406725], [56956122, 82864823], [65040996, 6056523], [60644297, 26845096], [71151242, 54307639], [89907010, 96555058], [47114284, 92176548], [85782750, 95404520], [26771652, 51206793], [61835436, 59168042], [81479727, 38052324], [59620824, 57391846], [44250962, 14233760], [45962154, 72231985], [98292136, 81092493], [40379129, 2789448], [97607141, 51504284], [98264400, 16089847], [16666482, 8989942], [92766272, 28216301], [39636400, 61890436], [65096870, 68199765], [66243707, 17010732], [83667422, 63767194], [10383296, 7172242], [81384235, 70799986], [59640057, 73838325], [87732023, 90006362], [81690157, 16632720], [52808462, 45112204], [71664059, 70442070], [14975930, 29913626], [83259441, 83871615], [66366643, 61688362], [34381142, 24463892], [16728366, 62013730], [38084329, 58095990], [48326381, 28682339], [85910561, 56888136], [63900287, 99604901], [58994726, 62003860], [69999362, 2233982], [96114241, 9823923], [85539958, 20477881], [45665258, 29784113], [44763731, 20834888], [32667563, 16711536], [40111357, 94161886], [79717502, 91914162], [31445584, 65814226], [23458744, 77971352], [62591983, 31807956], [22458069, 67770809], [25742566, 72465317], [64860698, 20753732], [94070360, 92091024], [54016347, 71932746], [88501772, 62013301], [12389104, 34778235], [49580519, 7254541], [1569738, 22726543], [63420704, 31797309], [56834466, 16907523], [10298608, 90683692], [85759715, 55890456], [47779462, 36652378], [49299021, 69857165], [70058993, 35410214], [59223562, 83683977], [87699871, 70146188], [5961692, 3773784], [89560578, 15107859], [51936271, 82777044], [61491879, 32605816], [70483509, 26434846], [84730821, 24679221], [39243921, 2721290], [73467243, 48577900], [15562326, 27810280], [96071656, 2907294], [37636546, 12935607], [34861743, 34256972], [40920896, 12830216], [49684233, 57550425], [52870611, 24188666], [15992784, 40107021], [7581978, 74879059], [42181668, 90344485], [86833818, 9477179], [54495566, 86213483], [1896919, 27735903], [76213501, 60940545], [97612532, 10417872], [27576333, 29887715], [730389, 28915270], [87095024, 51866405], [41666270, 93402551], [8573649, 18825915], [5954416, 43481254], [17349990, 3540609], [76890650, 69502099], [20244282, 58020485], [58000236, 54776542], [13480037, 435786], [90711776, 27942144], [83283046, 13723135], [67367348, 41941523], [31842325, 62004924], [31080203, 32866124], [53078320, 96336422], [72827507, 79714108], [7691019, 5466533], [42856038, 56791611], [16853280, 82784183], [74136681, 35302945], [26549507, 44804733], [33077833, 59058406], [63332500, 20323157], [81400730, 67173987], [44162665, 54931710], [60273440, 27331510], [91496064, 6795387], [74807607, 60805741], [95544841, 28079916], [19381970, 78296431], [28370243, 38961089], [44557809, 55463327], [99502028, 60013884], [34943651, 16379642], [5843648, 68209307], [15364404, 53278643], [11788533, 11173862], [72628323, 36897860], [48731428, 10289903], [72238002, 73889866], [69722824, 89013953], [38899145, 97074632], [6238385, 83312042], [56928119, 44257426], [62379203, 92554689], [96238017, 73866175], [97227929, 60425991], [59528098, 67229240], [7836432, 21913360], [57207078, 82208313], [67554989, 30003535], [48068113, 87471617], [44929792, 32589231], [21732281, 85250646], [77786391, 414663], [90019251, 56404612], [62343134, 53339291], [19724162, 3140042], [12341252, 86498168], [33325932, 31399181], [24402108, 14606253], [84354278, 54092530], [79385827, 13614571], [91380462, 63945640], [23470477, 14919303], [72600518, 54293870], [98505267, 46299169], [24642384, 54824242], [64737892, 34565184], [46860906, 42843562], [44413637, 92307877], [17910127, 68014226], [20232072, 37480438], [22796240, 66585557], [51847804, 71642124], [34025147, 88135944], [36955475, 84470523], [65268184, 15982280], [58215498, 63565244], [61085583, 22724364], [88675252, 62772750], [428160, 94237959], [16334715, 1949356], [29902302, 25284252], [70154535, 96263792], [80707030, 75859806], [19839929, 87874785], [31154748, 9505329], [17676633, 58005687], [20996165, 56219491], [88641373, 34773981], [56226099, 27559004], [65652165, 82042067], [91502685, 9525130], [71270228, 98634395], [82683143, 61945582], [28805383, 49545180], [92196802, 20717913], [9366761, 73786941], [84572561, 38055033], [88225264, 78679735], [76674100, 84514788], [33171153, 47075738], [39263231, 49690073], [12561416, 93363953], [70110492, 17469836], [90663982, 41915983], [14239152, 54248212], [62875387, 58121986], [91658003, 78633476], [25270747, 1864897], [22700554, 70345987], [73187523, 11097884], [74728431, 58594424], [51583243, 14460309], [3562157, 77424350], [57516184, 84633794], [57658210, 7478423], [12795109, 90217217], [1116301, 2808500], [25796477, 4085263], [92354106, 99366732], [76464988, 17468437], [92365859, 80228566], [1278180, 54444151], [65104754, 9195288], [81438048, 90999389], [26688377, 71087718], [1782712, 62834108], [76996468, 80751390], [54002880, 13882785], [817006, 87573402], [57997323, 83958401], [30584883, 92366996], [63205863, 64177156], [41086200, 8720493], [50431284, 5201156], [56620875, 1832518], [1652812, 90284840], [94574142, 55395417], [28677786, 25889374], [83211538, 81033562], [97659618, 10228897], [46757455, 55169884], [87962843, 50845030], [49087149, 82528601], [91809051, 50310028], [66800928, 68099987], [98386177, 62297842], [25094127, 45669310], [17936177, 24095882], [83911949, 84320539], [37659650, 62260698], [43274300, 1231666], [63775710, 57570790], [68150644, 71283236], [8839774, 79416480], [16295239, 21674848], [14774246, 25460622], [71627087, 91983800], [94241062, 80856306], [16165369, 15840700], [39305535, 39690356], [45429079, 86900532], [10211791, 43174352], [38509751, 16432492], [46420422, 389267], [3917448, 33857148], [24799664, 9789631], [86380178, 42092494], [32381848, 6144023], [68759524, 54598435], [86296282, 60825482], [53124733, 80795968], [29725105, 60869344], [54652685, 67640283], [68859250, 16156520], [23367812, 12561512], [19534790, 18325291], [50011727, 9727595], [75725073, 96920057], [20345300, 65234843], [76987279, 65544655], [22336142, 80706332], [75203496, 46216182], [21942569, 45932249], [6850754, 17826434], [48327523, 79555886], [17981250, 81024320], [33759290, 63772217], [54692062, 32261633], [94649614, 69860443], [56284642, 78474350], [86695239, 52680194], [10865853, 98479544], [23504184, 1648405], [16037873, 64868979], [90777733, 74413153], [39188476, 56202409], [45602234, 61485031], [99476216, 88665486], [56400053, 33296406], [55064958, 91806142], [69354088, 26325901], [67498546, 24858734], [56681196, 7053731], [62807887, 83054852], [99370885, 28219891], [69123542, 24639724], [2455998, 36871322], [70130573, 24469715], [23103990, 25283176], [28114524, 23518223], [52536170, 26446985], [55386733, 88718984], [81426447, 99823438], [29012530, 6682409], [9313296, 73306882], [34230509, 85494072], [73674093, 37201657], [96240676, 68763729], [50931398, 57344566], [95686671, 84373393], [5341255, 45091661], [54639993, 49272151], [91075122, 75480749], [41148584, 57017576], [44898270, 83197779], [13063984, 14510340], [52630997, 55343036], [32745688, 32603319], [57940931, 35777694], [67699674, 59627946], [22019390, 70991039], [72627889, 64070802], [81106329, 43069433], [12710932, 26342046], [18176040, 89434922], [28137568, 94343416], [44934866, 60872483], [71382328, 88516918], [53407350, 41846598], [65665492, 24520195], [26584802, 93091725], [58845204, 32410559], [81661606, 41229919], [95459735, 60843957], [52040181, 25390142], [49076586, 11330428], [25129402, 71790025], [62632658, 34212136], [7111839, 83460498], [50953180, 4903384], [66327192, 72220428], [30259205, 3849957], [71025792, 22723626], [98092280, 95293713], [30514372, 11659266], [93230884, 83079017], [84679309, 98137136], [75905391, 67624843], [78362074, 51003862], [44712210, 14832122], [60202574, 80364230], [47781947, 85419566], [66524215, 53423779], [66525246, 41718564], [3754598, 78623592], [44151762, 21053999], [42640849, 21120005], [68089503, 18274046], [70352383, 56674470], [23014110, 26222292], [18881663, 11562089], [68062030, 85119204], [69193337, 19016990], [42160556, 78248237], [85427066, 47274564], [46083719, 61484726], [44140787, 56252237], [45039, 62440465], [46008568, 96160145], [80806747, 53534194], [88625051, 87178956], [2774546, 26147571], [98305260, 45597510], [11737836, 19100353], [559006, 92982399], [45310148, 49933392], [88142095, 11645219], [43859110, 63819831], [56194868, 26853630], [10742482, 43747747], [89604346, 48746470], [43598016, 54429076], [61766994, 11271162], [98976069, 38635100], [39602206, 45545871], [69063934, 44983000], [68323322, 16707948], [84669481, 81258864], [74442591, 80079648], [38432694, 22277264], [39696328, 58963242], [38271938, 91911460], [91526866, 46270028], [3721357, 36448787], [87369440, 85482379], [96881720, 36984734], [24463703, 76719427], [20464379, 16688373], [10051484, 47703747], [82205311, 2869286], [69886870, 61063487], [25186599, 76457994], [42591763, 71197270], [9145120, 49658575], [22331755, 89423172], [52525888, 8931999], [92058163, 83527698], [48944634, 23666017], [67267921, 5575749], [52116266, 3546225], [13125639, 44989648], [94842316, 71536518], [68645136, 64728805], [26969614, 63206057], [74497942, 7970580], [50602045, 31403384], [12284362, 64164872], [94761815, 36834043], [96664202, 58481806], [10034235, 78634167], [61351089, 45972172], [3912778, 93202437], [12103044, 28867775], [98571324, 90729311], [2826095, 25109513], [10374211, 55536982], [47806629, 55863613], [42456415, 62447972], [78832113, 40965166], [41720396, 59969218], [85883883, 53004736], [58291537, 11272456], [8183172, 24935966], [37728223, 67466820], [52846348, 23571552], [96156957, 65883508], [43972247, 88444528], [14671755, 81055793], [47658443, 49497981], [91984826, 99663689], [84334646, 46674129], [86189366, 64965604], [19340183, 16704699], [63763684, 27861489], [30397913, 84581520], [8203220, 36620443], [51616905, 83317021], [14485485, 10420734], [31264517, 32235422], [61038634, 50578696], [33605005, 78484819], [47062910, 4857029], [83915956, 56006711], [37848367, 18293691], [98253659, 55605405], [84671354, 12440031], [83029684, 70246653], [15637414, 77678972], [28389763, 64896402], [83965743, 59932901], [28167476, 17619381], [44883107, 77633729], [18403759, 33514652], [64770874, 5560375], [4886594, 26511049], [38252852, 7890981], [35744839, 18268568], [24523646, 85733561], [46952474, 91686235], [4098120, 13280032], [39271991, 35194336], [82905776, 83755348], [92843321, 86164923], [20336037, 39699356], [97145856, 61749549], [41861809, 28841912], [57962320, 60267258], [27142629, 61254384], [15414554, 77437761], [58916955, 51341446], [41010987, 93354140], [31050019, 38515666], [77338075, 96762179], [81648575, 17284802], [20931275, 59575179], [72489376, 50381155], [31974026, 79633828], [72064966, 18944577], [65567603, 47296423], [92094038, 68713975], [11992605, 10819258], [73629011, 73829187], [7627633, 21800540], [71523953, 22277102], [7214413, 35602958], [55264583, 778377], [26554796, 61991299], [69185898, 9948742], [90900580, 32687474], [87329851, 11902912], [7911365, 74794213], [20885578, 66421183], [66122815, 22852339], [78386860, 55837090], [5565533, 90483282], [14279311, 34677099], [12549300, 85694910], [5762116, 50126552], [81882905, 17157797], [71777732, 10680892], [34796613, 46843452], [16703563, 61897079], [45648921, 24440349], [19972450, 3594862], [66256252, 841723], [91451820, 86679073], [85431245, 89141252], [47319327, 8529273], [1654460, 53582412], [80022242, 72129773], [18098004, 46687039], [39320858, 96282013], [56668915, 56204212], [91248489, 68994499], [41593124, 4228817], [16353974, 9259457], [53654137, 21414867], [13550571, 96963376], [57319992, 31655418], [18929751, 68631129], [32356606, 62775684], [30307773, 88521014], [17554774, 33134959], [22293696, 72791329], [11978557, 79920421], [65734148, 60056148], [49613464, 79317328], [43828768, 75740010], [54406368, 20653558], [52122210, 1148851], [34610348, 84384201], [16833998, 9762675], [9989447, 21367066], [92792365, 44581197], [79199823, 86233373], [1062713, 74036238], [2882012, 79172273], [83192577, 17479302], [39091213, 29670469], [13327522, 49998784], [90363127, 37977047], [40896899, 78174673], [19428892, 55712541], [61885185, 13041385], [81714025, 19305635], [92610750, 13898585], [18673701, 11198233], [37254569, 92690136], [95595775, 42138065], [15300401, 64394397], [41171755, 45447646], [50593611, 11974119], [93336234, 34888008], [65710117, 43978289], [59269627, 30948225], [82223861, 81586511], [15620945, 20566476], [14526464, 24304888], [13801161, 83612857], [56234101, 64767238], [9962628, 74655148], [32402497, 72077729], [4688556, 85502358], [4256724, 8737299], [81587700, 67446133], [53743659, 5384905], [1368819, 2665124], [72548177, 39075345], [33112556, 15328634], [34413739, 48217902], [75113954, 3275268], [11784546, 61567199], [10510258, 73959213], [85592904, 79336101], [53279443, 11105214], [90516884, 69238269], [35316626, 17471684], [25202085, 95973077], [24153910, 19334286], [27797802, 36534682], [68616099, 19496678], [74024717, 52340324], [37564601, 27571741], [26462174, 38050854], [64431984, 45590803], [71015634, 37708202], [23816865, 73958955], [20249027, 97402202], [5080488, 12430311], [12886165, 3406375], [45452111, 18911443], [31962111, 80482413], [1263942, 84706760], [8317863, 96202379], [25697268, 72689356], [71977505, 99937251], [19542123, 68203856], [58832102, 34843112], [78763487, 85486198], [62981168, 18414594], [21619985, 31861053], [91278136, 1953421], [85016463, 7823662], [88146411, 469619], [67048761, 77918276], [99593248, 76844871], [7478915, 11982904], [57943320, 16057332], [19180363, 28816392], [40020672, 95559102], [82976368, 58807916], [93181388, 36943776], [61152766, 24439428], [35591577, 79332703], [97256563, 83018868], [71356049, 7867393], [61520038, 15440921], [88575483, 71045727], [87603868, 71847249], [1949388, 96435425], [49162159, 16528853], [18453606, 64217217], [46530282, 82560621], [93581441, 15380794], [15857955, 67815928], [12524911, 59639712], [20774233, 47626228], [4779366, 61448473], [52845817, 47904064], [98322818, 42335517], [27018814, 73178887], [27237607, 38586578], [64771410, 81416064], [77132164, 70242875], [31589392, 95170524], [49148510, 80601724], [62825598, 62076386], [67613582, 62603539], [1747218, 71026091], [25675713, 66597791], [78078487, 9852879], [50638432, 47831195], [648334, 37571114], [83947208, 19561053], [67428964, 61822900], [57702076, 38858735], [25767614, 21367052], [7938024, 84644815], [9201897, 71387986], [86825608, 56930604], [28181651, 68731877], [4173556, 11181811], [88871532, 31040100], [98734047, 14672227], [38027629, 29267989], [24285452, 54551158], [93823474, 21763538], [28872527, 30232842], [76936812, 76774004], [52782421, 97071021], [71360305, 48881770], [7904729, 48919457], [91150767, 34688748], [80740692, 39721268], [52533632, 57928020], [16325067, 52202353], [14932583, 6286426], [31383324, 79772961], [16323482, 69405626], [95874871, 20001758], [27482620, 62362002], [73540078, 15865558], [60211556, 10926227], [45700288, 5721954], [14266294, 81515901], [77562028, 7006464], [79562185, 61683007], [34876713, 36837318], [4611173, 55484743], [14412788, 62944539], [20066184, 3892421], [35759428, 52030830], [76979294, 67324496], [4912942, 27820300], [97030143, 97238531], [49693861, 72454532], [51007242, 4642129], [71717034, 39603313], [58886837, 10169698], [9382813, 97475699], [63769433, 17846269], [90449599, 68622619], [52302287, 70347557], [11068282, 60025737], [95825388, 49366738], [19135034, 28281328], [68418534, 42684509], [36399802, 21208420], [98666517, 29958720], [7096094, 13292474], [91670451, 51695064], [60771185, 67586088], [64558202, 57500860], [23484109, 87133930], [44603193, 5803647], [40960122, 55128598], [80630418, 82904227], [34370832, 27736514], [42859016, 16024357], [56448168, 46421338], [69846030, 67769792], [25242392, 72962024], [30454568, 2275154], [25367879, 69984533], [67831641, 39379046], [29737190, 48866502], [5246183, 87433537], [10507170, 24765890], [16533527, 43993069], [32610216, 85901962], [33057271, 75235169], [32230178, 27787341], [38695713, 51392994], [72414700, 67633862], [827415, 79953424], [210630, 52591298], [90501326, 19702728], [60965090, 33686190], [49414296, 44158349], [89498288, 42237436], [14863461, 1548661], [52245672, 51972866], [56479396, 45347579], [75909762, 21006699], [34511773, 90706899], [87230287, 46801812], [80977917, 1285438], [24077944, 5322488], [82277170, 21574880], [72775158, 20047129], [21175276, 47988455], [52746775, 12578005], [40494370, 31166505], [93271105, 88374280], [36482253, 20412358], [45365259, 23264026], [29974296, 7127531], [15404459, 35728520], [91426808, 23412278], [62062337, 29621933], [73934345, 93162348], [48940855, 33550917], [64324254, 50594832], [36934512, 68124045], [79898142, 44218232], [69957163, 85365356], [79814377, 40175470], [45621167, 5476712], [13775975, 10341067], [35637618, 48955491], [69632157, 59630665], [83773829, 17820433], [16266440, 87355065], [12997908, 9181827], [27753024, 9947029], [99926313, 62330567], [36010126, 20769936], [89593301, 68280336], [15440810, 84476304], [25483102, 22685605], [30007631, 59694736], [79758705, 12037969], [21753043, 80696795], [74257389, 21348859], [25549677, 42819496], [78316190, 12957342], [1054064, 73945334], [727184, 23622731], [68984484, 33892271], [86461359, 60037289], [5735198, 72355070], [60754350, 43635631], [49815223, 75458685], [65120040, 39337961], [89904156, 26307291], [26850915, 90377884], [23058835, 63473259], [27248977, 86964063], [71254983, 47876988], [28441507, 85017793], [94725986, 72817101], [1463353, 53384545], [53395836, 1343243], [38566295, 24335141], [77155160, 7926454], [80099701, 78362453], [73399493, 7462449], [82156099, 78401199], [20117108, 94451676], [95203196, 77422090], [62639144, 52471223], [39901556, 70413850], [49913552, 72187035], [70757250, 50052528], [92120143, 2247186], [45086282, 37225204], [79314492, 58014685], [83082886, 48428715], [22886280, 40969738], [96488516, 26619619], [44311480, 89818775], [84857835, 32094875], [98116166, 78862502], [69526783, 87202929], [23166828, 60114842], [43727763, 1583975], [37839192, 69577945], [84692718, 90153505], [263513, 22447433], [86356708, 31994280], [98750977, 60089934], [27811384, 17069594], [37754294, 13693867], [9441003, 97042922], [79095339, 81113543], [37153117, 50563927], [26124064, 35936135], [73672194, 83372110], [83006854, 18923075], [54208977, 54707705], [92280143, 73189938], [21069247, 58514827], [35638448, 27406499], [8447059, 95004561], [64963158, 3878801], [99758563, 73303344], [39011711, 67385000], [34300119, 44841407], [62734672, 94130348], [41572971, 97245638], [95715903, 59410818], [73813814, 99348077], [50241576, 21893105], [96625665, 53494625], [5258287, 87316262], [2534647, 87912685], [47639916, 45653156], [61669321, 40867482], [97118550, 48384540], [80493401, 11572824], [11829978, 19995260], [42690354, 70734975], [17207066, 98807138], [98766344, 60466120], [74669907, 48915691], [19255346, 10776853], [62576108, 22018333], [7436667, 45998550], [91234243, 58074864], [33938864, 43300661], [17305012, 5229960], [71861551, 54611325], [61603962, 80700109], [49788571, 69380905], [25929173, 77398798], [32643286, 10187410], [95265180, 26965156], [81439215, 71534582], [59365062, 55010569], [8526899, 15979704], [7848664, 86266770], [42282667, 55719921], [80555309, 52349585], [84481193, 65870396], [5209410, 92000609], [1846227, 9753563], [25006417, 21120732], [30186668, 66476751], [27129117, 3386455], [80406762, 87333998], [35085487, 27131130], [75042550, 7875860], [61150593, 2749496], [11666805, 82417594], [97071323, 52431948], [29354651, 71895795], [11226018, 67535074], [79540664, 85146784], [37844154, 62907760], [97358725, 27703080], [61152222, 51299527], [73835336, 1073067], [38932551, 52579435], [82758973, 73301938], [25149586, 94154015], [31294713, 56728413], [6770579, 34376173], [94124908, 82746430], [51139243, 64760619], [78170662, 9372013], [29306083, 95177189], [49872545, 85171648], [82637134, 72247047], [51926577, 28044483], [37863067, 72469934], [92448098, 52334431], [56109114, 61122242], [52618802, 78207359], [23027512, 51524013], [11922501, 37059689], [97925227, 27134597], [89634388, 91854425], [8756921, 60580053], [97766346, 27272092], [14250102, 87836653], [30629845, 81022511], [79799805, 62651892], [58512500, 86125646], [57054933, 2686244], [22913913, 54899408], [81840799, 29762337], [76047023, 97385669], [51432087, 37571054], [66261527, 49366827], [123303, 29888504], [25336582, 17791275], [5813707, 21313890], [25271594, 26830399], [5710059, 68771003], [45408073, 87275118], [50213025, 87001327], [31092223, 69572882], [10347220, 20130149], [72740175, 17961921], [23897910, 8130072], [15609516, 94629697], [52300321, 48339970], [98166019, 98417165], [50671563, 85766471], [78137886, 13916936], [6996815, 39147713], [46350284, 61980542], [34459710, 67073253], [28766801, 34438898], [10128656, 11383978], [38479492, 96002990], [83213353, 41206975], [95436458, 98712237], [68220577, 4214656], [87311205, 37969255], [39921201, 37941000], [83375664, 73363443], [36432826, 70013334], [65895797, 34789336], [34009921, 51387471], [65315825, 35454135], [5643274, 90274493], [68960753, 85785161], [21346488, 62388889], [70979277, 31407019], [23392833, 65730644], [1629631, 15553101], [36357180, 69945568], [59891068, 49720786], [68730163, 77674539], [77206988, 56936449], [41393069, 52056090], [91376903, 80218706], [79013749, 46806401], [78423203, 14198360], [29456420, 41128270], [13763272, 63771480], [90648859, 2046170], [84433951, 50060145], [64601100, 81484719], [6867596, 19401736], [12954035, 86083041], [984909, 58767483], [6141313, 20483747], [34393317, 85006184], [39083406, 35495433], [96136807, 28527402], [22762914, 65050465], [17493371, 66377844], [82228957, 56710108], [40512714, 82446529], [31222068, 50108677], [19569458, 73534696], [4335733, 88238694], [65517704, 85749457], [78290286, 39277748], [12313606, 6198802], [33695282, 88751206], [70742981, 60209318], [41233538, 42106432], [9123650, 1557812], [88307639, 47236128], [17451262, 72648619], [91714133, 56131337], [46150452, 44904102], [41339948, 88516136], [43470561, 59714839], [28404620, 2827443], [19667814, 80641729], [13228418, 88475726], [38957453, 3596421], [99329166, 61973925], [75714146, 81819264], [21606010, 15650248], [17861330, 33958271], [40933518, 65403965], [72826181, 16244034], [70053721, 23138266], [53660308, 46553345], [26776486, 79598334], [53755060, 92260324], [49295245, 7815444], [58170695, 86887515], [63759911, 23816397], [93586361, 40110362], [82893425, 51297174], [90007272, 977557], [21894522, 37072971], [32339118, 31220454], [87385613, 59938412], [11479298, 35448352], [60051924, 31188583], [26923645, 83718426], [24878037, 69339833], [30412838, 46472602], [22743061, 96017950], [13437, 208514], [56861587, 4569046], [21141855, 34190273], [36684966, 52840520], [86733337, 67061918], [16923056, 96216515], [49094054, 5711600], [86420691, 74497123], [76288584, 70190857], [15760371, 90951131], [35373591, 47527469], [15892346, 31359322], [14971402, 89835941], [70040750, 24675744], [67468371, 31207992], [200494, 12714747], [34672060, 85384811], [87442876, 44920090], [10241270, 11360804], [2909466, 26480864], [97992508, 62199174], [71938005, 28446402], [23869576, 67883470], [52830214, 92000243], [75749284, 32573460], [46315859, 6909098], [39885226, 28328308], [88262255, 67966708], [95659056, 52417618], [37789305, 64441253], [99992840, 44576486], [24731642, 636076], [61587181, 28518176], [70793035, 62550793], [40379708, 10446422], [77507665, 69275606], [41792270, 33334550], [3505459, 44455740], [82269089, 50384904], [10322694, 56242947], [99760890, 65681285], [4998441, 64122326], [68613786, 45710670], [82303600, 45480827], [83932606, 70295960], [72119171, 94723600], [42961329, 20862338], [34528052, 9796018], [73249834, 23292744], [75850830, 14645583], [28290297, 14787312], [68540672, 18874029], [45007385, 32999998], [82333360, 15751208], [89280412, 10375324], [92461683, 68083560], [86648435, 95417220], [74322709, 56140887], [97901252, 58120566], [83450874, 23617392], [53293443, 76640056], [4799620, 62143874], [34461356, 5093580], [19656894, 28271297], [50328021, 82198973], [18046942, 80690809], [47744108, 83075828], [54015860, 23533578], [95292273, 16391760], [75284315, 59702134], [81900506, 13580551], [74589085, 4478719], [50007578, 39228530], [67254283, 16005451], [81693579, 28462019], [40096671, 65653636], [95753391, 27343827], [80947025, 24624163], [83407312, 7712443], [1509218, 1408698], [82216246, 7101330], [31899007, 95344893], [9143466, 65057030], [7060229, 5018110], [30927428, 63077271], [96451304, 80794186], [23540773, 91919653], [93091785, 50055163], [20461141, 23756831], [10473304, 74674870], [57978036, 14163342], [14925674, 30546157], [75017973, 78585498], [13263720, 85123925], [85449797, 87350159], [82393757, 70590069], [7613934, 98605176], [50920419, 39688865], [38694497, 41135067], [55255205, 79050954], [68373309, 88386521], [71982840, 12736614], [57588031, 39778608], [67532627, 54377016], [99211523, 90772927], [81509758, 83144488], [91755848, 66195370], [9608475, 71551213], [16456042, 23145169], [84315237, 23663811], [66314317, 59651394], [24919178, 24317088], [65130275, 33735356], [45705372, 33959186], [54007722, 65135976], [30645799, 19460753], [11107215, 636925], [97073893, 17841655], [11003727, 38486535], [13043161, 2636845], [1774943, 57807904], [37939974, 68825584], [21382563, 21669871], [83105468, 53171236], [14554067, 59147246], [75949720, 19763608], [29175675, 61729055], [98276441, 63231078], [11943263, 9253946], [51758104, 10198450], [86679766, 80279603], [26058853, 73737740], [23856427, 11229234], [52271865, 70773524], [4258594, 45330478], [88487019, 55195957], [58812782, 85371166], [33674401, 5071991], [52731520, 27874966], [27501716, 421651], [91009456, 62913185], [80047106, 78748529], [14134175, 2081039], [20286448, 56496351], [29213617, 41116866], [98365, 93720841], [13670973, 41234419], [43916255, 47726144], [26232554, 70843107], [59864254, 11487820], [29276881, 49905661], [21516799, 31538019], [40592128, 43056157], [89286285, 52206919], [75338680, 6480974], [43003985, 8280461], [3192915, 17257505], [88353892, 98372816], [13970064, 47034120], [33389134, 92821955], [89533050, 5112074], [48363012, 40047131], [48098603, 5713154], [31846394, 37347236], [49050147, 34968955], [62590687, 45275345], [39944424, 22887294], [42718441, 99900299], [87995620, 75048632], [96565849, 73080799], [27869468, 67040399], [74613153, 58749177], [13759255, 6834768], [20670503, 7648975], [98885665, 89194163], [6226921, 7221067], [69774348, 11326691], [74788450, 55191915], [67457280, 92741713], [67151095, 89768606], [73971167, 85325545], [44374238, 76554217], [82453839, 4451185], [87499872, 65016012], [43772226, 48416211], [94661492, 34481750], [46895184, 62618949], [10874463, 22992528], [98327554, 71354163], [97245826, 18566158], [96110793, 75429087], [14973978, 72120213], [13256326, 74183585], [80682535, 92562883], [69322127, 11775374], [93010435, 71291935], [20226148, 73806908], [9916813, 72837310], [68966895, 80026612], [73314821, 5017957], [1734120, 39826625], [60476456, 59251177], [65681591, 62351562], [21442190, 45290799], [34232454, 93906047], [53167871, 17638528], [75025152, 94976625], [78938491, 61825316], [96651702, 12761572], [66080299, 52173904], [47840342, 83621319], [46516522, 77931148], [29974757, 61563759], [63346854, 56685381], [24824871, 48161341], [41321342, 76779321], [68779262, 51301418], [8881224, 96455935], [25887826, 17976367], [90470576, 27883310], [8922649, 81060896], [52215624, 52235229], [63417886, 4490361], [59516229, 9592054], [6137465, 401447], [31491051, 17070882], [81295833, 54517157], [34618329, 93062894], [94094192, 51642572], [4905724, 34345922], [97186966, 65494355], [75235326, 63745269], [50848437, 40389356], [91079849, 79496529], [33628004, 76780433], [23371888, 48105315], [26927922, 42048830], [78737855, 20497920], [4475081, 12962038], [75876204, 57598106], [65771881, 19219179], [56316567, 30158494], [14652749, 57708555], [90693507, 11332603], [5230464, 78857318], [1021602, 17342069], [10623895, 77789871], [40827887, 79110152], [37647477, 39894252], [95810810, 61001110], [27028457, 88782548], [77975103, 54149], [77999120, 87436073], [22374590, 32041663], [97798562, 54237951], [56143728, 14380003], [79984311, 74104638], [63319417, 17942789], [37354431, 97278913], [21490468, 48343023], [93473681, 19549911], [15616583, 96391789], [95941201, 99523307], [98901569, 79336224], [52692588, 90356723], [41115153, 40362004], [53540637, 3442638], [31478204, 32389813], [37543347, 89216020], [97143613, 54763447], [30732159, 60858692], [73663717, 66305781], [61069530, 82643581], [55727760, 30655783], [45852197, 79026003], [21034995, 7197733], [54302091, 92247206], [82003185, 16450440], [13127251, 351528], [58882969, 78626173], [8923493, 34435576], [54754179, 60243942], [31845783, 66634198], [53148207, 40760622], [96917524, 47969740], [74671940, 28343467], [73933664, 10653593], [82435286, 75382082], [52885855, 62331769], [39416438, 72824678], [4232560, 93828213], [76454593, 96212507], [55287826, 47965451], [69726022, 64598797], [68901057, 12501829], [30425403, 75026546], [78488503, 84075568], [32247061, 99996478], [34437917, 8343713], [35722115, 54509751], [34654502, 55199023], [82606664, 22808873], [10476369, 716555], [61603921, 25455708], [1223769, 13596614], [5464007, 87679482], [41694224, 46710611], [79833282, 42686278], [28273195, 17354281], [26329473, 8582522], [21172762, 15846434], [16970850, 532446], [49089298, 55530725], [26131131, 76166793], [52021959, 48253955], [44803763, 91620021], [77615972, 59083478], [22202703, 69250851], [68983724, 46195989], [61229338, 82733683], [91801949, 74748920], [80372412, 25426547], [84946473, 26413904], [39392667, 43141619], [69821156, 15268615], [47174658, 91636144], [78836444, 27195344], [2508879, 5019350], [56687317, 51929501], [86109782, 99567191], [89841153, 90731590], [35508470, 6197390], [65534156, 9888215], [39018668, 85153424], [82640100, 62240778], [84312320, 9963511], [14634482, 31041189], [57319470, 10327093], [48556888, 1043167], [77403551, 50186063], [76235396, 67778734], [87272401, 98107404], [37085610, 73096552], [74103406, 7492841], [17093972, 98121673], [81929426, 25360869], [19751390, 97310294], [9771858, 45432222], [41535710, 15277394], [9521231, 76928161], [4364457, 5603802], [37173493, 43490485], [3246797, 33901436], [9818107, 6551788], [8673648, 49163202], [4955889, 42303280], [84257475, 83307254], [12342715, 64896460], [88557434, 94745854], [35537188, 5847975], [41008901, 40413021], [2748164, 4578664], [80843965, 80139079], [43706607, 11350258], [60249081, 30068945], [79803887, 79736835], [48018265, 25212412], [46085670, 78089980], [81030436, 22417593], [48433411, 61401426], [74932123, 55105046], [66340979, 43489837], [58314035, 59108034], [39407077, 84781002], [67724264, 31958399], [66635683, 51385276], [37548261, 86477061], [15844938, 5586354], [92951531, 51454832], [45719398, 22658335], [66429463, 81093912], [52044952, 45175386], [48139366, 1292533], [48831210, 78984940], [94874867, 16726303], [90425075, 24829185], [42425418, 18393128], [92627938, 56095995], [85976824, 38356197], [65029176, 10083709], [54973213, 12411319], [55531142, 21809021], [74395878, 68684615], [7570622, 87580997], [31605319, 32766201], [62284214, 29661117], [5804388, 34102257], [21173749, 47202934], [17578303, 34568210], [14315367, 25006674], [79822908, 54143671], [7161039, 6658538], [64498593, 55089553], [30772080, 77751567], [23417294, 35646553], [64429108, 56610363], [33674694, 97557791], [32482845, 50048863], [76024985, 51588613], [81675620, 40724563], [90351381, 94116450], [46621724, 19024996], [45524065, 22765181], [77184748, 67704701], [63999353, 69551496], [58663980, 14959009], [65038229, 91491225], [73516339, 308975], [59589127, 65409353], [81897686, 80298492], [57179512, 85762840], [30563044, 50396296], [56113639, 92840622], [75338773, 49551941], [68391067, 75567725], [55268615, 3807381], [60153610, 11089951], [16144877, 67288936], [29004369, 68043353], [64410778, 51632113], [43773559, 95234616], [77905368, 64169023], [93031082, 73073641], [75601806, 13138106], [4310007, 54401336], [13487140, 59683687], [70376382, 59848972], [35145227, 51945375], [58636734, 89665421], [25977841, 18210961], [13558128, 26431732], [47150801, 96324512], [92677373, 4517921], [65249172, 11853084], [12902944, 76620123], [95143091, 35513127], [81819194, 95251038], [80364511, 73128969], [70595465, 76217152], [769423, 1673196], [87921861, 49546494], [53642960, 80642288], [62525730, 58789938], [48922325, 40011191], [53244664, 411065], [14611243, 74578960], [63431231, 20884771], [87847670, 13271551], [31677760, 67499459], [65364999, 13077161], [54797241, 61939059], [27871008, 28867487], [8063956, 69896369], [59980523, 27714404], [13058016, 81993375], [48710845, 3721142], [85302534, 7311969], [54767425, 99526354], [7700473, 4720301], [32277748, 50473931], [19130720, 37268549], [55909947, 69168771], [67892127, 38230963], [4810401, 40857888], [67288350, 85394358], [31255901, 11123183], [17493266, 61172573], [20553032, 58521935], [20428707, 18361922], [2868412, 47242095], [84820334, 65627670], [38794010, 60267367], [88540737, 70889962], [73340504, 65344371], [27997291, 16684068], [72382650, 62253774], [35299319, 63531832], [28692015, 46499368], [93971081, 31133967], [93176074, 47412485], [46783950, 50341043], [82350819, 82799781], [5798664, 68447942], [74947187, 47315111], [41157099, 25059804], [65246196, 1162367], [44819675, 60675374], [25135528, 551565], [90127881, 13400789], [79930228, 79941915], [24697978, 58900963], [6149756, 80877268], [23647216, 37107271], [94879893, 33140210], [83534325, 61916813], [50693774, 37135170], [32769394, 94704915], [63900935, 24704143], [8244926, 25716612], [41559638, 45004828], [25594772, 18254675], [57977668, 54121279], [39888464, 3747749], [6129174, 66757432], [49327178, 77062395], [82199294, 49220326], [8486457, 22501132], [94401608, 25761529], [5639203, 14556926], [18042305, 45963762], [63586667, 87478755], [84534100, 37417296], [14510137, 80826900], [7613545, 20556009], [81045042, 811849], [86640136, 42292760], [14483881, 49362645], [67013064, 22390156], [40710145, 77268249], [80952056, 88238291], [29791410, 18808923], [41536264, 70386472], [91650439, 61461495], [47033610, 52284317], [34801393, 30683864], [1053180, 82204838], [15934271, 25065633], [75426055, 36756522], [73679911, 32826747], [44018942, 52331328], [40847011, 47204870], [90419687, 30138845], [11458631, 55680262], [59522601, 29005161], [81484929, 59480932], [76184473, 69273263], [26746763, 24647695], [28808142, 11189883], [35639769, 72601371], [93115965, 28413289], [53733432, 52344627], [11619004, 34081119], [75837576, 15133651], [47361538, 65889], [10494574, 31348162], [96507248, 97501983], [50650890, 48294250], [35375369, 47330783], [36096564, 21476868], [21815956, 62807730], [30365798, 51162782], [71157610, 39209829], [52195101, 28873437], [50794441, 97041756], [88117890, 15167194], [16113936, 63937913], [64615939, 84027553], [56954790, 74196982], [56220996, 39777892], [2433657, 25804191], [47962273, 38413091], [48624500, 6254657], [70614370, 51230457], [11456702, 15098465], [71162761, 22757709], [79024269, 94256009], [3933927, 62996700], [79292382, 88390107], [48143628, 35547589], [24398185, 61812472], [57180192, 2130076], [32036330, 48371670], [45246347, 88686261], [8625931, 37471829], [80259131, 23385524], [13318756, 58718607], [36067742, 38633243], [59800412, 10135812], [66684368, 45134863], [76580364, 47583323], [25571389, 63072973], [71911268, 61472843], [38719495, 97096421], [82848508, 15386580], [67242401, 37625859], [44935643, 4795332], [60602284, 136853], [13154552, 72019597], [96098983, 39335585], [90291942, 33313323], [34392203, 38605041], [76013008, 52264700], [73364908, 3321279], [19297857, 82613606], [20354854, 16308025], [32231361, 73627734], [54551652, 16818001], [45202293, 81681665], [80221850, 50864121], [95999710, 69968424], [40028841, 54689731], [65283326, 21005089], [3340623, 49503687], [60749521, 27384437], [63779067, 73470066], [56205887, 97700077], [58375824, 49775076], [68487350, 9674420], [19122623, 43894657], [64362783, 28718301], [87217716, 66382045], [27179486, 60745404], [97248234, 27646444], [71747514, 2265804], [58724726, 58793026], [94272220, 34643968], [51924192, 23216276], [68329999, 52356677], [28205215, 57415589], [49778249, 25580547], [46032247, 68191791], [22909696, 84987573], [39517767, 66855961], [43756126, 29739945], [43929738, 51844641], [77653087, 38249614], [96125240, 13615361], [34896370, 67262984], [14532101, 32974662], [43983815, 36857392], [65307918, 80671824], [21846230, 6356233], [76106926, 56626030], [85840942, 83161415], [31308550, 67387437], [55805999, 42088047], [20752705, 87453795], [30535359, 93188693], [79805534, 98245518], [85677093, 40896839], [90108178, 56991821], [2930041, 92308285], [809578, 49791437], [41462124, 19104239], [5137977, 20550112], [17694742, 99476515], [74912688, 9648945], [87628601, 87567782], [99247644, 86488047], [47984160, 31101570], [51895764, 42021161], [83545953, 72408299], [94118633, 91903269], [73095322, 4173879], [97836337, 14353067], [3703322, 18728530], [20638401, 43725719], [34272345, 72698847], [23478015, 23713256], [54065895, 95128590], [62077618, 43899351], [26428163, 49386934], [17008153, 22645740], [12481680, 90734795], [87570693, 96242684], [16423689, 61803350], [34056365, 59765618], [5745106, 28274445], [8362645, 68033199], [41086781, 40902648], [67074688, 31003533], [20079966, 39835821], [40414230, 44057454], [58930622, 40651159], [38924024, 136438], [50694735, 38752889], [98962421, 65835058], [64651969, 49215746], [82301091, 89687164], [7549954, 57486928], [97503095, 31963447], [12409611, 34189983], [19081402, 96991363], [45487732, 51037962], [7013230, 1000250], [17883431, 24883690], [21123825, 40811417], [23824280, 25716430], [91550442, 83959458], [20456938, 22571296], [56605344, 24296444], [4214964, 91707102], [10268891, 1069290], [89898336, 64522748], [939125, 20038846], [26359410, 82330759], [87678479, 55324062], [83835387, 99472328], [80205266, 43043358], [27278175, 40082358], [31553219, 7123921], [87220225, 54353503], [49173045, 54442522], [36849563, 82461711], [25385054, 87593823], [73963763, 7808571], [31217274, 6454998], [92286605, 29698540], [21482243, 6662004], [72994709, 3389282], [54423796, 22902821], [71704896, 79500404], [93618412, 32395802], [50622747, 60624975], [56357031, 35601050], [36030289, 64116180], [85834701, 32688126], [9048599, 4498376], [13458020, 22479369], [79719662, 73455611], [96502324, 41822789], [66903265, 39133796], [45187171, 69549902], [55092744, 63888176], [82218125, 33030464], [56594741, 9628180], [15487966, 4240826], [43258234, 44761915], [23182435, 82748643], [33126162, 81281875], [68378212, 57058247], [9409431, 14332646], [66608230, 41118390], [45239836, 12397925], [39324538, 66781229], [46340974, 96820893], [90787244, 9733791], [31867462, 86113524], [19612513, 2483913], [58438162, 8229127], [3639160, 57551555], [4142639, 42613847], [13595306, 37396716], [80888423, 22303952], [42933186, 92396035], [72271558, 48048933], [90489318, 31870718], [1685039, 94439150], [66846925, 65352899], [16346620, 60178391], [5889673, 43017551], [77683774, 9783148], [72000978, 25595576], [30807740, 39235680], [22662392, 31600289], [56697720, 17529759], [80364577, 58486645], [12179917, 26593959], [34012443, 28292151], [30508249, 7578438], [68634174, 77736207], [48995881, 49467100], [99239669, 10194101], [37993670, 60850626], [79452816, 48083225], [35751749, 58274262], [57819293, 98329203], [35612537, 26801633], [76890790, 21798069], [60124680, 11348898], [7590267, 28379033], [97365110, 50346527], [55532879, 39504351], [17342319, 65359018], [29819897, 69054167], [98379373, 54606991], [56014452, 11604241], [54958017, 76373019], [4575065, 73456723], [63993398, 30309341], [29380781, 85320843], [4296310, 15004317], [24276591, 13643535], [90735488, 22963810], [74298498, 43272037], [49175611, 15091522], [54423315, 1034744], [70560564, 17184814], [44089346, 79868668], [58490255, 19010097], [30199723, 65685697], [46331817, 84349548], [34688753, 3482960], [99123218, 47474486], [72870203, 20681456], [76341423, 8376840], [62949798, 48318062], [37659401, 35610429], [41023225, 25730962], [68932685, 96376677], [40618984, 47250459], [79949634, 82234024], [43843867, 89878361], [71099960, 81357259], [8136058, 58572747], [14772772, 67633818], [7505284, 82295717], [82114907, 11727234], [23268292, 12790983], [30483966, 65541425], [12905751, 46833742], [31761383, 12690159], [47836106, 53509352], [7088537, 39671022], [82659646, 60197726], [9139492, 11003390], [12896632, 53864562], [63684100, 25141478], [38245798, 64100206], [14419574, 80187198], [15772895, 84371361], [93739939, 62495375], [2613261, 34142701], [51440899, 61180864], [60721835, 50748795], [27568268, 39907963], [60630302, 41513382], [58523722, 79343443], [99158200, 61750129], [5574451, 61464850], [22991264, 41894222], [94413230, 28085456], [175480, 92705082], [55692444, 15474032], [2390583, 19056637], [45555611, 58999150], [21095085, 8702013], [58920386, 17034755], [72142295, 43481831], [20491775, 23693770], [64127643, 89953417], [3458604, 48162795], [52160834, 57240992], [79545869, 44607646], [83798399, 69262415], [33137367, 88620610], [240383, 60841504], [33926906, 85630898], [88005709, 54625290], [5101315, 13591392], [83645320, 42241482], [2074371, 18426238], [542142, 19258188], [60720092, 85607864], [43860782, 75331180], [51744181, 20196541], [93386781, 81042122], [20496370, 40884281], [22430138, 71435980], [70574032, 51822555], [22034938, 82141276], [61809847, 13142525], [69185221, 15935416], [22091874, 43932125], [58889930, 47518544], [72306602, 18311973], [87670786, 32563681], [26468429, 52880295], [88518198, 61049993], [97654559, 20964462], [15415693, 63607133], [55834506, 49068416], [76990542, 27525408], [46238188, 45133631], [34254963, 54661074], [55482273, 60478652], [72187785, 1992611], [84912638, 5035804], [65089462, 47619753], [77244954, 76653235], [27594319, 63089347], [19076032, 55277885], [20554176, 63443443], [73051928, 70978122], [7794478, 33007656], [79449259, 3130998], [28699314, 62368518], [68336774, 52752231], [659601, 14228792], [30465392, 84698171], [72848461, 32791231], [34318306, 19052160], [52326589, 7098430], [21242920, 8977906], [6607351, 61171355], [12166378, 39544559], [32470365, 49763219], [77918158, 44757053], [70999954, 24467303], [18448110, 19473898], [31961575, 77933391], [54162976, 10793755], [33161916, 33605054], [53407070, 51452923], [75403987, 5550030], [54033519, 21626602], [65996640, 72279423], [61247843, 85632028], [70978127, 48842696], [88026356, 11718862], [45869896, 9473157], [70031843, 56425552], [52099787, 66493383], [54712144, 39762718], [70666763, 80895191], [85996894, 48753175], [22703749, 61075664], [94479870, 95018483], [92741018, 46464316], [29028635, 94092789], [47038790, 98546459], [2113121, 81392552], [3656443, 48728726], [8744268, 28969798], [11074188, 92656299], [13509239, 21095269], [75597097, 35009658], [50825834, 63148953], [58705940, 34551636], [32932318, 69216295], [1893034, 96113560], [79013233, 24709921], [14827691, 52280288], [44508378, 97399153], [739900, 41320822], [42327156, 85199935], [4992164, 39895560], [44839448, 9076156], [9632204, 56999956], [1132018, 72286906], [6434795, 81317812], [62858345, 84937973], [1422499, 6491318], [35756600, 12361649], [59095596, 60000999], [26380234, 19810448], [20254994, 31320817], [87068175, 47421275], [40086476, 47854128], [59859957, 2426242], [23761208, 29667183], [73253340, 55192803], [61580752, 72759919], [86411014, 57335694], [9611043, 94316805], [44742157, 28138961], [21234066, 23460441], [45897553, 37831696], [53014537, 96204005], [96136122, 7017179], [73867345, 95285497], [44057069, 76032212], [46548199, 19757368], [94284580, 37941144], [22489500, 12642112], [38664420, 47507939], [34063319, 2592366], [94778190, 86476368], [30542961, 86837014], [96216098, 89951058], [79609967, 74646916], [91808428, 78970299], [6078023, 79626760], [82937535, 81922688], [7346000, 7952046], [85009603, 8967034], [23262433, 57416510], [36690306, 57319331], [67597133, 85367521], [99213256, 74849738], [86850365, 48328653], [55969701, 5396387], [45631484, 24990752], [75653829, 79608060], [88865, 18599064], [34352800, 60082822], [36308570, 50883093], [64838109, 47947346], [51119111, 96881161], [39471460, 45519760], [16631625, 95322309], [94512946, 29306197], [29273219, 50521401], [18661018, 46160331], [27764680, 51075500], [86709328, 94110842], [16477612, 78694316], [71924332, 19900366], [52488788, 57451601], [73562602, 50373550], [23929939, 47261916], [42796927, 97538039], [58262291, 30719158], [72212361, 58849477], [75839682, 47134633], [99289437, 99042508], [42400955, 87388661], [95058949, 81430597], [95905316, 597739], [67838049, 22968884], [12851438, 24363948], [76410918, 20308551], [42161464, 90193170], [63036250, 15028715], [28745687, 38661999], [54870118, 82142766], [92354007, 87161407], [7616358, 36152836], [34164622, 94581470], [3079933, 65036678], [61230459, 18106732], [20180830, 34415866], [93264707, 13152367], [81338573, 99452099], [4779305, 15469300], [87086752, 31626], [17254734, 48772004], [93604047, 48347450], [79241565, 96445100], [94992774, 22805729], [7451316, 88109539], [19240197, 25336565], [60942572, 31731796], [43931760, 96416036], [75271998, 11932937], [47186317, 79561279], [46765458, 89327836], [31371109, 95611360], [71566559, 40952833], [78324233, 56565905], [93217386, 25992362], [23686652, 30311946], [56442368, 85533437], [14152302, 62256110], [87496585, 3217282], [90246085, 92557425], [98061238, 25215672], [72376007, 14247688], [18802432, 63077787], [84864677, 61591232], [37555792, 57765798], [79257418, 63576137], [39563168, 15877194], [88183923, 15516310], [92617496, 68493103], [8042801, 25289295], [96007950, 9706659], [13849091, 13494036], [74897786, 12756248], [86419851, 32669634], [72442172, 48529302], [51683412, 21644041], [33872070, 79723607], [44550237, 28630584], [41097181, 8905596], [1124080, 98872739], [61423, 14469665], [47483794, 37432202], [38152496, 35118660], [1667583, 89939339], [14603442, 94300545], [14260244, 50927622], [99285941, 11097966], [60047204, 15704452], [99038420, 55547487], [78109044, 31799481], [75624984, 30054089], [52495399, 26031034], [20108676, 47054521], [59130216, 76102196], [55513351, 19662647], [88718004, 63681089], [44126869, 44011814], [83762458, 95131066], [30320639, 24275753], [92382144, 85196468], [52889507, 44249735], [56110938, 41055617], [13896217, 77819575], [23370934, 50205575], [92907582, 87267619], [3460303, 45361481], [99914939, 39326549], [32850696, 58136320], [87766679, 3887588], [68007431, 89649746], [45592910, 51239117], [67492709, 71325530], [76658376, 63216307], [77521974, 30299359], [72381744, 67931769], [4621135, 54462189], [64295415, 90308066], [44801326, 75858038], [12024161, 4062086], [82146464, 49335099], [85715120, 19588079], [21938255, 97265445], [88089691, 99282806], [2558399, 6176533], [67254788, 68973882], [46539780, 67026008], [88401250, 56132993], [59155233, 51954865], [22534406, 77166687], [94721666, 39946302], [63658510, 99455204], [21118264, 18823571], [92941158, 82104535], [34562499, 60753816], [15636466, 25934856], [55420245, 50576917], [49691840, 37342206], [9441213, 36025684], [96748867, 24289126], [15210220, 12755739], [90278117, 5598756], [92555132, 4414731], [3416339, 65636132], [88300274, 70635240], [68080553, 63403691], [14679159, 18547883], [4353791, 53693195], [74971646, 16185433], [3647971, 19571790], [43348380, 43256126], [38806161, 67667867], [7963454, 10222188], [93039230, 92561245], [51590761, 69936590], [55661796, 20993834], [48224257, 20460741], [43877188, 98865482], [81325757, 57107229], [39811601, 56065257], [11458288, 36437440], [47235495, 77531341], [48762029, 16528480], [61400131, 2281855], [1169737, 68061481], [93719237, 21260062], [71944726, 15088894], [54685137, 15661111], [80024764, 91014368], [57795482, 94313049], [56785569, 54512756], [56444784, 80006574], [48113152, 58698044], [31543532, 52319595], [26553757, 71955705], [11335879, 94193753], [81012587, 52640039], [68342816, 82868534], [93315828, 87902309], [83543506, 42081654], [44782410, 58834604], [48810572, 75581824], [86808186, 74269186], [8953964, 36212729], [24555177, 50362769], [28923049, 84367601], [64785614, 15112913], [98898660, 10728818], [39580410, 19617497], [77426845, 18378819], [94223631, 93718388], [45893230, 24159267], [17637336, 98555393], [21280827, 58703850], [42149866, 57773838], [23662311, 42048100], [94151977, 1426444], [91987282, 59812714], [4921568, 59581157], [77298676, 24033743], [97462642, 85854625], [55057904, 24405533], [18581858, 75562536], [36214704, 65385606], [834337, 68696520], [20725441, 47281708], [14685708, 1693784], [38098930, 51460752], [57216654, 14873311], [331276, 15795317], [32336631, 44109200], [15413817, 34203421], [21960001, 93254154], [4701033, 36869905], [87098873, 46099912], [25276918, 11353847], [76352363, 27404744], [66334763, 26575623], [8105478, 43914255], [69303962, 2594189], [38650274, 99917074], [41316302, 97739368], [86691356, 57991935], [75048742, 11166236], [94537505, 17675601], [69390202, 25042714], [50027731, 26471666], [63810984, 96293348], [9511765, 79256099], [80873484, 1998014], [58513034, 32031782], [14312901, 14952352], [48913408, 89459946], [85527048, 17016791], [85336864, 57191215], [62355917, 95687652], [4474411, 29569278], [63208766, 45344889], [47363901, 49111511], [79564550, 65700437], [82722141, 31427643], [94138540, 86255497], [27427988, 96623726], [85682122, 99230932], [63479733, 41883932], [24060349, 92600242], [16205704, 73781894], [12679367, 88783330], [91915965, 3343714], [59515420, 82390096], [74586779, 88699003], [99107347, 69289592], [20185057, 62250415], [66066051, 72957082], [90623695, 49640072], [53066753, 14720179], [78982590, 56151839], [90577812, 57016725], [90731751, 99764558], [60024239, 13470232], [63153966, 73473620], [17884199, 79917410], [80649819, 28042420], [59870566, 29168013], [18653643, 44861045], [58159707, 15908417], [8902337, 53032910], [96715718, 47718886], [38388094, 48964169], [23023402, 95316192], [3062631, 37129784], [47439863, 49851138], [5338759, 34778147], [26769280, 63619482], [82461032, 34066266], [58937710, 34425885], [79662974, 49437161], [46488687, 2731692], [36036813, 12562475], [56627132, 37419762], [27713583, 11094709], [28623307, 93122593], [42154328, 96573265], [25169475, 49130656], [66057331, 77198235], [45516911, 22671331], [65907545, 17858985], [53104319, 20385269], [72669872, 53145269], [3959172, 10974275], [40440797, 38693597], [20129943, 61387953], [85329850, 1588232], [64758139, 98729410], [5836978, 38783729], [86095767, 47607945], [86011921, 84559185], [55022381, 34912527], [14464331, 72675542], [49268256, 94179051], [30850235, 72542605], [95179932, 19780545], [33798442, 99395467], [62276447, 83934550], [35565941, 22221955], [57248654, 28719622], [55002111, 82595486], [10462043, 80915106], [50236244, 60997672], [10626353, 36154413], [96779344, 74550991], [50234971, 82709691], [44637403, 30595731], [60364877, 17057374], [12967034, 81471006], [62590353, 89903905], [47588386, 62363027], [57927483, 57046437], [31640799, 30401743], [27072397, 11419251], [57508825, 60275928], [64852781, 35012053], [7407528, 98150425], [34341458, 51379826], [72618970, 94458347], [19538017, 22504319], [3833099, 37282766], [71325392, 20812229], [86658340, 5372543], [57701132, 70375410], [75344552, 36997965], [37329153, 55516983], [26504579, 20480864], [77746061, 44993113], [6254200, 21473054], [48046453, 3277912], [34365923, 52409027], [14161755, 31694221], [85780247, 65136896], [14084207, 90033819], [88184898, 78545313], [84878481, 22548798], [44598526, 67277408], [69993083, 91567253], [87356744, 96692339], [54689004, 4409941], [42922910, 68547762], [99140807, 65557058], [2179160, 66653713], [91678144, 26920015], [46140358, 57612932], [67740383, 40033790], [16103184, 69838690], [5373808, 63644956], [19381117, 27363834], [98268694, 67248376], [3246853, 40252773], [56368363, 2017559], [4364838, 92939246], [36715156, 14230572], [76548369, 29531932], [3361665, 5466141], [40339553, 85518834], [84958562, 96348826], [86147010, 97712598], [63549542, 9178713], [15102815, 41593655], [63121174, 54864705], [2941987, 10061729], [65146306, 15371600], [98704643, 78174884], [97249074, 39959467], [25543257, 73949805], [52929873, 82832928], [38185214, 86695304], [61369516, 88026909], [32513674, 25718750], [30451338, 36723494], [45843701, 54597355], [44973061, 33277512], [25676840, 79752100], [25184804, 94645064], [44630038, 14462098], [22624862, 26304535], [71623809, 58188036], [63920882, 74947973], [16135030, 2511499], [29552644, 90180050], [91611455, 83256923], [33599337, 84201661], [47131694, 77237932], [16695261, 22397828], [50731615, 34619357], [54642039, 68542491], [79301055, 4518836], [80822669, 16813786], [59774089, 17523336], [40286175, 84163236], [57789689, 41276253], [96158944, 14987594], [73451609, 64380778], [51407567, 23529400], [72506736, 54552276], [80868670, 69286779], [28187580, 66992457], [53665079, 47966168], [43389039, 54229651], [88234404, 89489967], [36533085, 95755168], [24550258, 84240524], [83617312, 53760240], [49702330, 68009521], [70784805, 97621267], [20976370, 57389547], [36067367, 43157116], [52962117, 98498664], [82850047, 41523019], [28248068, 82968086], [72940416, 82500785], [24318498, 90777552], [16439004, 73690142], [41683266, 14173725], [94732433, 18299911], [55084784, 68904326], [41612281, 81790943], [90664879, 97325174], [17859, 62389459], [15195285, 61535714], [18943575, 15651569], [57940887, 39300422], [52247320, 67634091], [60807234, 25412428], [21126753, 99568826], [71754997, 38530634], [45088025, 19946051], [37207038, 94033146], [90964799, 62348457], [31148625, 90496544], [93904773, 7249705], [35369428, 13877703], [63853212, 1807363], [36709685, 87540881], [5912660, 16996631], [68672296, 64729464], [76346738, 8980828], [28303964, 91388965], [91802860, 29736376], [38127472, 63343106], [46196611, 16780119], [39250062, 32461402], [86289593, 43883089], [8987644, 22940658], [32762922, 25474879], [81197777, 83889607], [77921727, 82206695], [89730378, 34002955], [28859125, 31803643], [90979484, 55000977], [28407872, 28265625], [42263897, 30122783], [47457193, 33732713], [40711696, 50102037], [56824062, 595334], [30715383, 97885750], [37654831, 84174123], [64245796, 47964637], [25030892, 88956010], [57765181, 46542558], [87198194, 58130016], [81863042, 92237139], [88299035, 37350228], [60806004, 35609242], [85952207, 36390873], [2030720, 49091820], [20378313, 73367767], [23499180, 67170871], [80871117, 78189530], [32792335, 76844139], [84290174, 33752376], [16756676, 35324412], [499143, 25026099], [59863188, 41161849], [78487801, 1524727], [52828197, 23385369], [50191392, 89475565], [58898642, 46679552], [65460236, 80015510], [60126109, 94891981], [29003269, 24766841], [82926724, 41302295], [73155396, 28833147], [60317660, 92441072], [15813775, 41899517], [67356100, 13592132], [66597685, 72217691], [91388424, 19538270], [35480785, 47344097], [89506814, 23566370], [96608535, 3943931], [91878721, 55301262], [9694884, 848334], [70410499, 53751157], [4190556, 54561053], [10100267, 30280154], [88596015, 19603354], [79652099, 51354259], [50220150, 50500141], [89935739, 62372706], [45985968, 4703481], [22135792, 67624589], [6322156, 11589630], [79255590, 59471156], [57421684, 4967391], [33950386, 24510747], [67208649, 29401648], [87551833, 46985155], [79662635, 85961590], [9256120, 26634670], [15159490, 65330122], [95947426, 94885878], [87306794, 59292725], [2861009, 48208579], [32642171, 67240951], [85981326, 64960110], [42386062, 74902297], [72306384, 41686568], [37215781, 7476186], [97947448, 21697946], [97609226, 24171422], [85822098, 33155181], [29734725, 93746941], [21434476, 3941654], [5109035, 90652031], [49692010, 86633847], [75290927, 9580439], [41054900, 34812115], [50739013, 2764285], [96647294, 63159615], [77422795, 34398678], [73588320, 33516708], [37351079, 10524466], [36083285, 71997093], [90265337, 82212717], [46526724, 19425082], [69996331, 87050927], [75624733, 80976433], [70772052, 3352479], [2180631, 65835930], [58925443, 57263776], [14274043, 85649227], [72463241, 62785433], [95277679, 6238414], [7077590, 3048317], [40487671, 7960446], [56527360, 38765807], [47013776, 96787196], [19033035, 36444851], [83158364, 13479414], [75315372, 34177421], [57856288, 79275014], [54749053, 53340865], [24182763, 56050917], [67079694, 21427923], [20477858, 2471468], [31224602, 15748847], [8035395, 68181675], [72645767, 49812383], [17993017, 42054462], [2297651, 73093906], [80992662, 39465050], [20259332, 37089699], [10603309, 62300067], [14079769, 73718083], [5976332, 70900749], [50312052, 59675436], [31753381, 20844818], [17589075, 23132433], [66206269, 85180198], [85890520, 83893581], [54454074, 47391246], [79595962, 38583370], [43184982, 10728948], [93010805, 69771811], [99645263, 93861817], [58992063, 74156362], [83914356, 91357347], [63942480, 63782873], [95357150, 39589787], [9803551, 71399764], [425850, 47220107], [9348663, 94285076], [12385773, 19083972], [62851557, 83616598], [65463087, 40689715], [79048023, 97862704], [38821693, 33322494], [84609486, 6427728], [17248802, 90810371], [51360815, 64852372], [16332085, 86009142], [63166860, 88421964], [31353396, 10705821], [35050389, 68005867], [22156808, 60447329], [26133982, 64264336], [88964991, 44545830], [96633649, 25208626], [81621331, 531238], [59906235, 13929648], [26987769, 90843947], [52276986, 90422637], [91136554, 68689773], [3897313, 20585469], [53555789, 69976143], [40054599, 72310238], [86485931, 74420776], [47573776, 47960430], [3249023, 20378739], [94907774, 79985891], [73923586, 70764411], [7176386, 83785154], [84962906, 18043615], [89089813, 37694218], [36584145, 55196846], [83007666, 83491119], [31566433, 18815237], [17825035, 70394204], [11735988, 44222854], [75897583, 852371], [38635248, 89995595], [60350367, 91439929], [42651824, 69614046], [51886685, 95631678], [58885302, 82172584], [1972708, 87204527], [27180245, 74231103], [84303915, 38762109], [27265782, 15634610], [22342854, 25499087], [10466528, 74138282], [86531212, 2414915], [40933917, 77431722], [4206469, 89190488], [34611493, 47841233], [1851923, 10777849], [32840525, 4684983], [92444863, 962074], [89021557, 38811262], [36383362, 61631661], [88164902, 4449676], [57931600, 10002251], [3188143, 95504125], [96510037, 33956545], [28880328, 69786382], [48651734, 49771663], [49555318, 81508938], [92336139, 78473342], [38634571, 93982393], [62192597, 38631635], [51894612, 87392331], [5663108, 65172479], [38305418, 42628745], [86731818, 7747234], [36471067, 10293766], [98777170, 34894880], [95040286, 66355912], [77535464, 59344150], [5484860, 80863499], [45811178, 90680755], [54949498, 83593633], [31675416, 71356693], [955961, 91395536], [32236535, 49744930], [58744949, 24707118], [57107013, 41185186], [33609250, 94812838], [88934401, 67078808], [84510945, 61077749], [71839033, 33164953], [44938096, 44705333], [8967934, 78610040], [94003723, 37523326], [64384097, 49999888], [63506460, 68895568], [9156529, 58401333], [87541648, 76472688], [35550639, 40287766], [73373839, 72889844], [40047374, 20705658], [97077567, 37039074], [88147061, 72771690], [11381748, 70961246], [2315145, 53504086], [77062488, 92550338], [70230832, 94179496], [47622253, 81150881], [74008008, 77897108], [81536063, 29992919], [44079795, 15240436], [67171779, 76921622], [94232902, 27891412], [25479545, 69778133], [95257298, 14827313], [87526811, 6780532], [60831311, 50497812], [92313423, 44733786], [48025565, 573096], [45724841, 52711345], [9803725, 77904795], [90368909, 32846338], [61321468, 71993562], [9943580, 8558571], [94727978, 20218801], [52586475, 30428787], [58701529, 98108760], [60287748, 34864890], [90909656, 65915813], [68707608, 27576361], [13899568, 67072378], [25741408, 99315235], [40729923, 73702103], [97598903, 90301554], [76888399, 87196792], [24159801, 59782231], [64958269, 61605054], [65930380, 97623872], [51222830, 84710987], [59509210, 93032660], [42402739, 59898562], [5036561, 3208924], [5068209, 39899006], [69047942, 84085964], [23086816, 23403922], [32038907, 80232163], [59664130, 38592256], [26361676, 88691813], [316360, 59819927], [91028931, 90123361], [28366765, 61572701], [37868923, 50425658], [52224221, 99311379], [72175730, 46177729], [75939743, 84846473], [83578889, 93318328], [82231075, 63460483], [72003790, 95566796], [3181347, 31082966], [95952122, 47917895], [12032269, 97617650], [47005670, 71153840], [72010628, 95591318], [36187867, 77357477], [50507707, 33077588], [24550342, 854492], [54518556, 94795066], [61857497, 26519694], [20602258, 46546008], [89424084, 75521302], [20213570, 10060982], [64148904, 18702977], [90951629, 38773443], [55384565, 12743323], [22410912, 94725336], [28773623, 9863636], [26459620, 94528381], [7435704, 50132674], [82672384, 17731635], [92921239, 16025683], [85148661, 86051536], [63558159, 80983850], [75801248, 64792782], [62442971, 14420810], [18416077, 33707370], [21561985, 83971115], [50881574, 56853995], [29141866, 45049547], [54730460, 30522635], [38554637, 55873568], [97240031, 61040132], [20407265, 66691071], [44277542, 47968734], [61028813, 28340587], [78153837, 88042223], [57607893, 77469920], [41027566, 927881], [70818860, 51272742], [55913257, 82914003], [45673581, 3572884], [89010281, 87135761], [59492460, 66933497], [91199744, 77955783], [96338233, 64907527], [55516858, 30609496], [36001843, 41566354], [44958116, 26158781], [33204057, 21098731], [15895143, 74194136], [35856257, 32111474], [60861087, 56097997], [28161877, 8896568], [3094820, 85475941], [58489754, 62471052], [65339847, 40596926], [39611462, 90144282], [53196134, 45296866], [65819173, 78206680], [54281247, 19946750], [54305616, 32555476], [75431212, 96648832], [54057072, 84088332], [37501044, 17601802], [88989717, 82906195], [7726768, 26165074], [72031582, 33454340], [90263156, 37547391], [80202168, 94415353], [26492118, 18751107], [21080261, 87594848], [30051160, 15756788], [12359690, 15750442], [16272749, 47637754], [16158456, 13493478], [60107219, 23908223], [60603188, 91087407], [2059165, 56017726], [95381872, 18647945], [92479546, 65589915], [31150389, 90678086], [47634930, 32288505], [93429202, 51343540], [90825626, 47440313], [70760764, 54783156], [87080510, 37121004], [1289267, 40445395], [28983371, 36296543], [68134992, 69244002], [97729028, 34681594], [69921942, 35088608], [23751227, 90671282], [27376253, 68515137], [48023188, 62990932], [33612614, 85978612], [41674517, 44014398], [203061, 60121006], [27121905, 64201841], [87633302, 62853410], [77718354, 80099550], [88333467, 1851992], [71091576, 5921037], [19217710, 89209323], [42596422, 17400006], [5923524, 72980655], [58735134, 69656721], [83371113, 89313333], [61933287, 7979726], [16533997, 75100409], [32312772, 22595313], [13705536, 16264956], [10137986, 71352597], [72604301, 85421270], [31753253, 385313], [1184393, 13605742], [82810756, 75885083], [10135020, 56465662], [12572942, 61285800], [3452906, 61101776], [77725080, 17745574], [30730184, 76495893], [51898356, 32871782], [95775190, 3713522], [37109400, 53522625], [63430856, 72558929], [79432347, 52684309], [54191584, 78483261], [46479161, 28528024], [32190498, 71215479], [26164679, 83144089], [75064683, 1091144], [63680705, 74355780], [77160980, 89720086], [58407836, 76820161], [80942261, 80122799], [46925122, 79454355], [3595822, 39143618], [67188524, 84746435], [82383805, 80774945], [79984812, 86539280], [63162958, 35762034], [35108582, 70524928], [80491740, 54883733], [4394106, 13479224], [41928190, 34980457], [46894777, 55503379], [53043738, 75491820], [26032263, 29527594], [62629015, 21034313], [98652596, 78562616], [65023419, 53946483], [73218398, 78806105], [66081831, 77467791], [26132035, 26123809], [39570484, 19091970], [54257336, 70295367], [47476339, 75962070], [5231779, 59440557], [17300699, 3026144], [20476978, 58286123], [46902450, 23567259], [22755335, 2117893], [51469173, 9740263], [29806865, 93833872], [86690335, 47132703], [45996600, 77501975], [86690142, 64164605], [80729673, 58924425], [33478961, 86400057], [89678050, 26502981], [89412847, 47442915], [32401496, 16440724], [49345115, 75130932], [48738953, 51575784], [31921031, 88214049], [81738250, 77300773], [197680, 41028830], [59227158, 14926156], [48199907, 63501385], [18320288, 32225763], [72692100, 78352493], [53611140, 73365289], [10561719, 32529906], [79888353, 37243663], [63759678, 51200821], [73320593, 39643198], [94176353, 18884992], [84743574, 37741278], [59206748, 20056885], [33443006, 36092423], [26367508, 83851974], [72908905, 54551720], [6870710, 50973269], [91857445, 71672674], [51368875, 48918871], [90512405, 17229681], [7461776, 53896012], [15855646, 3160800], [69276061, 3165585], [6499618, 8559902], [3856923, 8383682], [64604137, 20847861], [27968391, 59397449], [60010022, 37719467], [61557402, 19618843], [47507549, 88731721], [66071314, 92249062], [91479855, 59076517], [58459445, 7370853], [23721958, 46307338], [6973035, 76273888], [38544911, 69637014], [26745691, 16317046], [22910553, 15083105], [4468964, 15558859], [61854301, 87140987], [72482981, 41188534], [50365810, 29064904], [15891514, 11569556], [19145332, 97762228], [39765811, 1553409], [29317643, 44078511], [87876126, 12254341], [35357555, 16827954], [42289753, 5465651], [3211473, 3493296], [76532341, 90051103], [85489451, 58247389], [54182405, 96678865], [92452988, 1622879], [60566358, 13368796], [74114936, 26879520], [98798534, 67296141], [41491953, 63248215], [6244744, 63200813], [96317602, 60720952], [31008390, 84264167], [1803398, 13312952], [47506016, 94626658], [43776719, 26280899], [94564401, 53508315], [78790276, 20510003], [9003573, 57601704], [25116401, 16222045], [61713223, 36382834], [37672040, 40949494], [16914785, 54471598], [77146342, 6214517], [8782732, 69126828], [79130504, 37356573], [65962944, 82045556], [3021160, 31533948], [14224312, 54638145], [11107619, 18456641], [56494637, 76240459], [75464135, 31866251], [45901801, 51763730], [5989142, 80750538], [56635962, 47556123], [50066642, 88246656], [15965632, 32889317], [1640418, 79985978], [22215919, 75596176], [53329209, 17731838], [28015940, 10242138], [30594132, 44844054], [38754806, 98684497], [14938844, 48886197], [22339226, 69907747], [10909537, 51183871], [7709682, 5402868], [40052334, 67434087], [8482956, 91631381], [29757028, 14698730], [95942199, 72843535], [1504341, 79205004], [40287766, 95606762], [12175333, 71031610], [49911386, 31438997], [90041616, 4744669], [43312381, 76173217], [94502355, 34728687], [22698097, 95645594], [44942018, 3405038], [63666756, 41574424], [42278958, 62673844], [61031540, 45665828], [16223738, 27049553], [72570053, 92451957], [95636698, 35845003], [3582353, 15226264], [54636745, 8289379], [46977165, 21522610], [86532165, 3464372], [93656981, 50455597], [31387700, 82764591], [74938863, 48224921], [36673665, 61866527], [20096427, 46407829], [30581015, 35130599], [5066928, 47533040], [33110855, 67314619], [56841398, 14881915], [56371822, 68861893], [52203638, 76952740], [5455325, 48187728], [6300354, 90222406], [59799136, 42181941], [26334311, 33817789], [87570751, 23055064], [8125177, 27352155], [66941422, 75766460], [30593528, 60890805], [73716956, 17289018], [75068079, 50443573], [45352078, 80870917], [61910034, 13662752], [63919879, 52887043], [7039766, 27724495], [96234790, 59979285], [24847894, 89028625], [97504776, 73876084], [67460443, 20717240], [83194168, 70734058], [36271136, 65202039], [51541751, 83491421], [66218994, 20348321], [90852110, 66447370], [58010294, 33643629], [26790051, 95611201], [11050252, 61617061], [51268856, 3046186], [99028328, 31108525], [15450185, 43753014], [5680283, 53467009], [45644641, 70368352], [10651456, 75170243], [59439664, 23028387], [62111201, 25571446], [27589419, 83045705], [89871922, 43116102], [43446774, 23541055], [52971570, 50326295], [36884097, 86357017], [96868230, 70177932], [92441787, 21542500], [64260564, 89469142], [4811402, 85155717], [53718881, 62684922], [46950603, 57395140], [90251771, 7531664], [55524416, 929953], [1918068, 95610545], [62112027, 46756665], [65496045, 32882393], [92989285, 68283811], [31391930, 22897752], [53321493, 44047534], [63817096, 69547942], [12686112, 64524305], [68581674, 39350324], [76963732, 33487385], [9154588, 73368518], [79818632, 13359982], [27652751, 32001500], [4627039, 61761784], [22242520, 99348631], [89431830, 46706849], [36768281, 90881392], [2417577, 98118847], [13067489, 68232212], [85728121, 24116758], [89011240, 63499047], [8698056, 10002594], [13227368, 2239786], [4958096, 19236265], [43157616, 32221820], [93917020, 49292154], [66154356, 88871630], [18552521, 42337481], [74223476, 75085511], [3569377, 12703511], [83426327, 68638480], [78900764, 62102159], [16581174, 32872365], [76915129, 18827486], [67067008, 67922390], [45917453, 2605867], [61491275, 44628674], [88622473, 90228717], [61286325, 7221833], [90465253, 57903203], [22842478, 73025386], [26330521, 41842853], [72454845, 24853522], [82273297, 91142300], [47924289, 44058493], [89588834, 85300837], [9638096, 22155851], [94761325, 30439873], [1056256, 80471801], [91193285, 74904364], [77241719, 88671076], [76364699, 3219214], [63626635, 12651730], [17235068, 97098441], [82224486, 83856388], [10059529, 81867402], [76236129, 38664299], [75063383, 35389562], [45112391, 66342630], [47165121, 92145094], [21853777, 27859644], [14069717, 94782179], [62806838, 88677446], [75114701, 97091354], [26800495, 73405946], [86399586, 69750608], [86706044, 35984273], [66738045, 79002892], [84569301, 85649725], [87863778, 30990135], [31296043, 82411961], [31134921, 33311081], [76589358, 65334111], [70095590, 86586006], [71965357, 23170221], [68926894, 91043999], [9768637, 30755030], [81963334, 99763095], [8248023, 72082686], [9028827, 32822740], [77190705, 22440762], [86723239, 27362978], [41946077, 69850035], [10605073, 54954294], [69028325, 24279477], [23549698, 14721150], [33853752, 34619659], [3310272, 29753535], [74117762, 91449840], [28189891, 25584120], [59552431, 8282759], [99098523, 35232766], [78989158, 35315876], [56439080, 46230345], [17209550, 12160557], [48766481, 50810125], [24469694, 57509496], [29151863, 14380485], [22444431, 3519509], [68239237, 65399729], [60866770, 46824833], [12289438, 57987266], [70477456, 97138641], [95442229, 65698322], [95341349, 18523713], [23499159, 62355765], [62029310, 78680056], [74450097, 30328040], [39137532, 72999473], [65136789, 38841915], [29764123, 17711286], [44967792, 96329647], [26517389, 70667936], [15253539, 83455786], [23087984, 82370930], [73087491, 44310469], [57482372, 62772140], [71863458, 17430691], [20163694, 90638058], [15349145, 16277534], [27426837, 81836706], [34363460, 67774168], [3779993, 176318], [93571470, 91625048], [53780873, 34975676], [97687854, 19062757], [2021780, 59962747], [82522312, 16649373], [93386304, 57308741], [44772241, 7872829], [91240275, 90068582], [20680190, 15555464], [46348419, 29254718], [50776382, 80559719], [4087154, 83956877], [72208532, 65217668], [41190642, 27237319], [76812816, 63328143], [75286207, 49777911], [24018901, 48239188], [8709796, 69172540], [85722835, 18738223], [19849579, 94363340], [28452611, 91376428], [96949633, 92069138], [82504349, 36476642], [53721507, 47638818], [76753177, 66664800], [96115458, 426735], [16425699, 48222129], [25973796, 90017675], [48112722, 86463993], [4323767, 43064991], [61393855, 93212003], [5609429, 68317274], [7331605, 47841373], [64836327, 77071864], [96254214, 93359583], [81678340, 85564791], [25992154, 23931138], [67114697, 68073805], [63672147, 85913686], [88254579, 45010655], [65323575, 83852521], [1091576, 78393980], [34455366, 79119371], [62020798, 55519057], [63433934, 16560348], [98391122, 98817251], [98207858, 48139194], [73536998, 77449901], [36560725, 76193863], [37382181, 47456120], [13015853, 96009820], [99781173, 64365366], [82333614, 75103182], [17625041, 48755368], [59740064, 54745109], [24512145, 34657010], [76308774, 41923135], [40897814, 94048655], [32023139, 78488245], [33929956, 69983119], [89762861, 73542669], [70138964, 76769588], [99673580, 64796978], [77804522, 88894111], [17848727, 47823391], [83751595, 9016154], [86971973, 32576201], [80675944, 82622383], [93527726, 13205662], [18270518, 46709934], [36863102, 91809151], [84255250, 7741400], [65436268, 72187382], [88495886, 30143032], [66796773, 47680599], [91955095, 20964299], [96151605, 10689469], [7603996, 2178004], [37066041, 75375445], [92539153, 10732074], [25167123, 4884393], [29712902, 1901515], [86792360, 6251123], [44158111, 24932402], [5914194, 56934295], [14593385, 3358678], [10800555, 4450097], [56978417, 80920245], [88283750, 1109878], [38981951, 31260759], [56754776, 540207], [89425611, 66990858], [7960448, 22298033], [32002586, 85710269], [48492363, 15516688], [93020314, 17752746], [60090648, 59172254], [74488658, 70781752], [41356383, 79043535], [99022003, 71875812], [65239665, 83883764], [94741501, 83749474], [26555894, 38248782], [16700633, 96319754], [68040576, 73596727], [96820564, 59111841], [4417212, 17377615], [97000130, 99218105], [16694884, 69250791], [51990761, 58196203], [25652137, 26166590], [97449864, 66218749], [82600877, 67203300], [458096, 98461190], [12424904, 77547321], [63677091, 74173805], [82059382, 21094565], [37157122, 44290972], [26013060, 45291675], [71802100, 8635618], [88873551, 72739773], [33276073, 84262089], [40702556, 36592051], [54861164, 35840532], [1312946, 16292294], [77873986, 90879334], [26278270, 95200638], [84982612, 82003061], [90246843, 50644552], [35390074, 76937231], [14308105, 46870550], [71573251, 22028150], [72106365, 52164154], [84981623, 5219020], [39687853, 34781913], [35581838, 86089158], [99363245, 85708032], [45734429, 84432621], [76312485, 64998898], [68027891, 37114322], [66889740, 84669900], [10489414, 35555183], [38701254, 58479409], [26700546, 65818194], [22381920, 53345188], [36548669, 85874328], [73616950, 31375058], [14725920, 94601506], [64446141, 47477657], [54866930, 29580867], [80160122, 49100814], [64022262, 44879740], [7489971, 50203094], [77398843, 65337474], [22772878, 59567982], [80900188, 67435118], [79928834, 1679817], [39669834, 27352440], [36823993, 56013320], [32056979, 40385760], [29885439, 55754053], [18354539, 67826973], [13883791, 59304800], [73109142, 18052975], [59191575, 16315575], [8952103, 96040562], [45826912, 91201069], [50790461, 79358240], [88621654, 27419143], [91264255, 80904316], [6754246, 62711292], [60150630, 56857521], [45516317, 15946244], [95131217, 68286421], [28276239, 46346285], [47918452, 87827372], [20773722, 20460750], [61311916, 33177436], [5121436, 6052716], [72386457, 97363960], [88074079, 18276195], [31719874, 92198597], [48571064, 37720693], [70595211, 80048885], [65576195, 19218913], [66186105, 97037756], [83890014, 35275797], [38678595, 23894400], [56024140, 19653275], [50699506, 68150706], [81178481, 38708743], [28772299, 71845779], [94244117, 88352827], [9462279, 36298120], [39328678, 23627427], [20795246, 36637042], [21121227, 10083958], [9818974, 71748950], [87068166, 58188444], [31622936, 53740497], [42466345, 26827542], [97225536, 67419103], [44840216, 16570053], [68834527, 80499301], [98701241, 80532151], [27105641, 33722045], [22102388, 44947195], [72649952, 83061221], [49358568, 95781829], [76907894, 32627538], [33838240, 58179004], [43448677, 56434891], [39527866, 37756953], [19636393, 58414278], [9137046, 18380926], [73558207, 80357525], [28369026, 5548555], [71389610, 12126061], [88621953, 37638516], [80586381, 41007678], [37614553, 78278466], [45588835, 26740765], [26721010, 69790927], [60134187, 67849636], [86125742, 31111975], [87317555, 40900066], [81554457, 9832916], [44574969, 18505625], [40114570, 15870618], [68404213, 22539541], [7056176, 85768546], [65433077, 19950457], [59619638, 45720126], [81688906, 45124165], [92744784, 90275445], [21937160, 95213649], [61255058, 78494424], [54136057, 50957861], [47395606, 29611043], [15673771, 57764828], [91214215, 41102371], [53384333, 41251306], [15150426, 64764677], [48499907, 16567639], [3619698, 42402471], [27472995, 85430543], [25491189, 23522382], [40402719, 60001767], [29891581, 79395209], [71034670, 7667296], [91084566, 60219058], [51980285, 21545512], [74721446, 19688374], [75865378, 52363912], [98643024, 92551161], [95611002, 7806536], [34767488, 50968272], [71769843, 40390985], [314338, 52085752], [43231307, 67545112], [58266235, 2580921], [41593923, 25749343], [81923314, 48712947], [52312450, 3413550], [6245788, 16297196], [44559078, 49497148], [67645912, 84692332], [1592410, 27171174], [6373553, 19892312], [34392366, 44615517], [88729614, 27633132], [36180607, 9627718], [8565474, 26014868], [62687364, 89050740], [9961453, 44992449], [93718695, 18233925], [51479736, 18757052], [17268621, 30262187], [48717123, 16913398], [71156128, 22675606], [97973166, 24792259], [42872671, 10875868], [17187627, 74727944], [69542728, 54781067], [26010846, 53247282], [90064060, 87773745], [89219565, 75625006], [67140165, 81065737], [76733222, 97906913], [21916371, 13915255], [2524671, 93598972], [78034384, 70728479], [99012278, 80409674], [28627420, 19612369], [34457852, 46265003], [98297864, 72288576], [96281130, 58456040], [99617954, 47766501], [50551293, 44628873], [26176918, 53565606], [70208905, 46120821], [54964210, 86722782], [8189780, 43206914], [31736313, 12856400], [52406318, 35060860], [28615698, 1559809], [92136708, 77309622], [82528054, 91493110], [69828973, 3135210], [50547314, 44354570], [84876887, 9452974], [49255046, 45070723], [26303271, 34129037], [87514597, 11341832], [74913680, 12903653], [53107276, 35462834], [51832442, 15613635], [72241187, 34555043], [65603047, 96414247], [9508617, 15014781], [80245285, 82759104], [97813071, 9249814], [27850700, 75671106], [97200517, 85260456], [53461665, 63220953], [94104812, 17964635], [90071639, 41881233], [47957287, 3356490], [82734277, 50747835], [3561859, 49468824], [81027420, 13930024], [16326208, 11991091], [71965106, 32424206], [26898150, 76294130], [36001680, 88468836], [90320581, 72314917], [43158168, 94905932], [20194860, 92281902], [20085504, 67730778], [56826322, 69848572], [12316770, 4459552], [72514274, 78414565], [68081958, 46105727], [76283191, 31536939], [57555377, 69584061], [72345733, 5943290], [75775528, 59345555], [11533, 91171837], [50782814, 2028510], [13950379, 24577687], [63756, 40748052], [45420183, 5596439], [51132369, 13064316], [64679476, 33429387], [93626668, 38128599], [65794517, 85432266], [95019367, 21975917], [77668672, 16448075], [47315650, 24433530], [99318980, 34621526], [94299303, 97785219], [63681382, 41276401], [15742267, 32994350], [12238873, 36991093], [77678578, 84302634], [79086169, 86726436], [63380594, 45832827], [92951751, 1915063], [59613414, 99045989], [75355631, 22612662], [32905244, 5613648], [98982424, 34442076], [36858158, 12985814], [7700556, 24587267], [30355129, 48411787], [15394440, 38141198], [64863198, 52613856], [3148288, 14171057], [98851609, 94093772], [76851060, 31496693], [1895089, 54044189], [34469396, 3108367], [6613215, 77701753], [93624061, 73933041], [19215472, 95495550], [90504415, 45739337], [58643266, 53271920], [47636751, 33583354], [72172353, 65164046], [43500526, 92079374], [12856006, 71046039], [85288745, 90311122], [71691975, 81494912], [64291454, 9211027], [82774942, 87130768], [25534458, 84447028], [43413497, 58732515], [30015715, 66237132], [38738747, 5228188], [92606548, 48079050], [41646415, 24145295], [1282327, 76336238], [83337729, 93529181], [82520721, 69510573], [54504063, 6176160], [35303451, 93403314], [42579974, 23656744], [43844419, 80961810], [35987147, 33250318], [19196631, 19972824], [70550149, 87850359], [71819493, 63612461], [75706088, 29524871], [59431624, 6694070], [569669, 27443997], [97094336, 12793684], [6517704, 28006213], [74493664, 20910926], [9936063, 42058362], [33099428, 46529424], [9680763, 87875094], [79505762, 73776837], [52626722, 73143916], [80318758, 24217968], [15101217, 91673073], [25632242, 83346784], [94451310, 19423714], [4895341, 15852822], [50758848, 37066933], [66008091, 67384091], [63443610, 43552400], [37363657, 89183132], [73402314, 4250454], [1348242, 76119590], [29743493, 20913302], [26135517, 22435984], [41019164, 50949903], [50288889, 35411661], [42339534, 3365162], [31054090, 18693664], [46492940, 43967227], [46831480, 34940888], [24402560, 22812241], [75845472, 4882345], [50648487, 40755891], [26139391, 67248174], [57384888, 74516375], [39790515, 80675438], [62477211, 87418681], [79715755, 20081393], [48213684, 78464869], [83817130, 56391184], [4657905, 2656899], [51883010, 14780395], [81755847, 6679889], [86896075, 26022448], [3487598, 85488546], [54250189, 4914923], [81619719, 84696889], [10477051, 92533487], [52127666, 76647434], [44630292, 18683231], [73427205, 97574195], [53224868, 60798569], [94169557, 71694064], [40092517, 1628556], [59295285, 90635452], [37472393, 25795285], [66926036, 53415220], [98833067, 56164410], [46104987, 49628958], [97016570, 22652184], [22298273, 77694019], [20394276, 90660955], [60918465, 64071851], [50651011, 46101869], [20520580, 37427398], [44368664, 47078401], [45852983, 3761550], [22233368, 85117593], [84167690, 59953382], [75570830, 13259725], [69274398, 65463825], [24448106, 46906999], [51808195, 92026127], [23957250, 41692441], [89755739, 89961123], [29965655, 55046440], [18553466, 57293104], [14249013, 75426879], [48816173, 84482797], [43118560, 67161478], [79427825, 76293945], [12177878, 52900200], [19523344, 35632587], [61759887, 60409601], [69704800, 30600851], [29640133, 87058682], [51330857, 3704509], [38623213, 52776613], [14648350, 35099909], [65570438, 26403472], [87962167, 18512088], [23102764, 47211743], [81383029, 49240781], [24714028, 13864909], [70374485, 44392196], [17670557, 82686765], [76442622, 18484034], [24955924, 18549848], [85885411, 49662189], [9959396, 30030945], [60920082, 1051125], [60607532, 5872455], [27722403, 51238192], [92450764, 21081220], [19999068, 76049092], [72965784, 73606670], [50725602, 36880899], [5516062, 80800369], [62523588, 90294005], [79734688, 94671032], [99360876, 51062288], [14426183, 68091978], [94776208, 59810494], [85573860, 8341746], [13357007, 52329920], [39866917, 65889247], [49433021, 68407040], [39455464, 26310391], [48947020, 47492188], [63273430, 54315272], [87479304, 30418787], [50955755, 53001112], [98837231, 92741825], [5090839, 77265579], [21320621, 61630785], [83418648, 58303312], [9572569, 57261401], [71278558, 99128570], [80938397, 15728890], [11013203, 55356043], [84091695, 85848390], [71483896, 65810811], [72670619, 43405587], [24663456, 88583731], [31721464, 77537921], [52703293, 83736082], [48025771, 94715339], [44669697, 67035074], [56772675, 6173869], [52164258, 2749002], [26121803, 15331403], [79605231, 19183170], [76133830, 83246485], [64063652, 42960218], [27128946, 93212184], [70095544, 102455], [87628729, 67514316], [16828511, 84612498], [1048385, 44730643], [48604734, 12160055], [70797379, 79834793], [76882046, 67249456], [63406836, 5677003], [56274, 47051765], [68955573, 43803087], [9074145, 96361758], [9228975, 63881431], [96914520, 99408495], [45269495, 80816498], [78779908, 57551254], [18468175, 94678588], [2761488, 87978637], [94507365, 38650101], [98353498, 3598426], [26021370, 8953061], [80671501, 83905823], [91855010, 48313010], [38572471, 54329589], [58050916, 94215707], [15186544, 28787257], [88630953, 90175053], [29851862, 81738699], [60446135, 79781729], [73156619, 24463197], [27094344, 70962505], [14674183, 49475597], [54755810, 6174147], [98740794, 55321552], [64674388, 92561204], [73491164, 69920615], [9898568, 73694070], [73203106, 99199207], [62717310, 7984884], [87950974, 81768094], [61129842, 53875137], [70858041, 51740217], [53574138, 9025044], [24675363, 36937804], [66582860, 69504245], [14248357, 68641402], [97599609, 62240662], [92290838, 50125091], [72382679, 58398893], [10493791, 49345612], [61302680, 88647968], [63469846, 41403871], [76801564, 33903729], [63017014, 50038386], [1353880, 31473733], [37561813, 77490379], [55153429, 83142599], [94629423, 24205903], [97118964, 61249987], [11318369, 10486509], [7074473, 43582634], [96756313, 51545065], [79257090, 8685611], [40199108, 63381374], [3831681, 6575489], [19129478, 90060081], [86268077, 14239669], [79016673, 61727624], [26380310, 59637331], [33509943, 39839255], [81299610, 13421540], [9592438, 94403453], [70778236, 23757456], [76340381, 15869206], [93946791, 65719064], [71251209, 87892784], [5709889, 89372166], [75742726, 49105360], [42689458, 61434599], [41446426, 51810596], [1998963, 63486066], [35231461, 18905502], [77098718, 13523580], [64566924, 48465145], [71928485, 75476940], [64136469, 56081481], [16685592, 75625320], [93164788, 82216551], [73074810, 65860133], [16256422, 43092935], [29778702, 60555805], [20385350, 42108256], [97684522, 85495528], [78458821, 33664870], [59908790, 50311350], [15053031, 485200], [33889894, 65370198], [91699915, 3582616], [33665327, 24814065], [29051896, 57406547], [24205292, 53954047], [65703822, 58090465], [94276234, 55211471], [61669342, 44363180], [37175427, 72782128], [91893641, 8128957], [77461771, 63472334], [90084310, 99634511], [76264056, 56269975], [67690277, 37802482], [14346466, 79988017], [90654757, 80237757], [87789476, 54490821], [81069566, 7713455], [42709754, 35462763], [13170408, 88239625], [69202958, 37251602], [4717833, 46479492], [98513621, 69560728], [48105038, 39202683], [85094897, 27963486], [93562708, 23513300], [26707920, 29207340], [72960795, 84412948], [31543239, 8110124], [952012, 25527471], [4235769, 79186113], [21056557, 21429250], [12306555, 22715790], [88319437, 77865834], [90575210, 71904244], [19949982, 97346578], [78343190, 29644496], [17143755, 39279950], [3920638, 97713677], [84520279, 79647443], [52673074, 61107318], [97773565, 41332130], [21530909, 8988682], [86305192, 64393761], [90155988, 70261672], [94511641, 59802390], [29767727, 56506023], [58206550, 4821290], [95094956, 65701648], [2559717, 16801191], [6353162, 40679895], [25041943, 56716877], [56949586, 94973655], [79155163, 63121973], [96791686, 65602891], [27175248, 5889402], [95721641, 43380544], [83466489, 77616854], [56765942, 88699384], [79624341, 31404379], [63124197, 13207786], [82184716, 98592927], [14752593, 71743841], [44975871, 93382995], [58840124, 93354408], [21622458, 98357398], [30670722, 94614782], [91757877, 341796], [98659274, 44948715], [69033622, 77052938], [85384962, 37257111], [44212660, 47317207], [99293192, 2705132], [60217690, 8497579], [34339054, 32297066], [93878971, 44472496], [68029103, 94231099], [47987886, 69301194], [33816449, 16198520], [36366611, 75954382], [49539546, 66377251], [91404250, 9470756], [20926809, 8605658], [56775880, 11712581], [19500291, 3691868], [45811813, 41011056], [77303115, 60201105], [89640889, 86868849], [73567010, 81572712], [19871596, 57246300], [11259305, 29716997], [22879184, 79883945], [18866150, 20479909], [13336703, 63639222], [59865494, 77304586], [67147582, 23509463], [41620921, 41618815], [72042469, 9678010], [75829407, 53193704], [32837639, 93118691], [91673475, 37191893], [73632495, 79827906], [55958181, 81027540], [61280090, 87004053], [44272385, 19080991], [52254194, 88015009], [73594154, 20228365], [27734977, 54287597], [6627828, 15921656], [69287756, 3186575], [10700723, 8300130], [94967584, 73375809], [3446090, 90718656], [7537989, 87723475], [28597722, 90395886], [79558365, 93547539], [24012616, 49421789], [38172930, 91030852], [31090580, 84807793], [85393284, 3707584], [41505569, 17110458], [70151716, 91349061], [783369, 11584251], [35940624, 6166254], [58782162, 32615096], [18422471, 80695645], [4383563, 36984577], [97923918, 62518929], [57157287, 48626842], [13985838, 48623563], [254960, 88955747], [2712688, 47231747], [92089951, 97663981], [91508743, 39933016], [31374564, 87726835], [97505383, 63149093], [54519203, 82889703], [32709112, 85128610], [17122145, 60683447], [95371230, 29259832], [71064379, 72128975], [56443611, 97550907], [99226021, 42168003], [66987647, 63082131], [78725401, 83493359], [20621374, 5680248], [82361581, 96334905], [84118989, 19615301], [6846589, 40206721], [95954033, 69160781], [5354373, 82457993], [1961548, 77988129], [69781199, 53720833], [3484693, 70651104], [6299299, 80438401], [1263434, 39973819], [28074440, 78893587], [25122121, 30691362], [97430497, 94544987], [27255586, 11378111], [13797357, 70735115], [87108876, 25509510], [82027143, 98791527], [19109655, 6659354], [17841012, 2490789], [1033655, 3932522], [95271109, 45507983], [15239175, 32571604], [72175133, 11119793], [50769490, 76660681], [7846612, 97886016], [9937536, 99563898], [70013349, 46716050], [1959991, 18475501], [55877217, 4308931], [54061044, 35631621], [81268247, 99633230], [91270825, 70371296], [2769779, 56146754], [22556355, 37112575], [65390673, 23673815], [27863715, 16038476], [35367136, 99551372], [26432020, 91783244], [34721428, 48631271], [30502540, 83238992], [95738689, 80380607], [35772297, 67171581], [34088133, 42011882], [69099822, 32436977], [93944277, 43406888], [55814709, 72529752], [41386333, 36400794], [63819675, 1562993], [54672932, 27276956], [82143933, 14758605], [15678940, 25699614], [81757942, 26015988], [78462647, 4798577], [49593431, 1089533], [12994566, 572988], [75905394, 98623321], [73737555, 65549680], [84446920, 53444506], [54250428, 27015006], [90259349, 90764516], [45613345, 90920800], [25473651, 86493060], [2623264, 13000921], [86937800, 32743124], [24965915, 73977303], [71744217, 25751690], [26044865, 93409223], [26504079, 78829456], [7648713, 81629785], [5355778, 42624788], [98245795, 21621456], [46302557, 3746057], [31015405, 77210702], [2670073, 4747126], [8013588, 30079795], [70542621, 79659145], [72337591, 72137672], [67129524, 80818377], [90237320, 10213949], [7331596, 33453606], [48875126, 5574795], [57911513, 57559669], [90136273, 32320364], [85945072, 76831267], [75459796, 23130937], [60717165, 16303426], [3264370, 67476640], [36902145, 81030496], [94390836, 51341653], [93740305, 56346388], [80083847, 94923793], [45448683, 935944], [55215014, 68335174], [88942809, 52698067], [82326969, 86480841], [93358083, 43290592], [15279844, 98963098], [91856178, 53621389], [36878357, 30903542], [77551105, 30241994], [28248645, 72413025], [29826453, 74610280], [16355, 73852452], [52852779, 88179768], [60846167, 97244831], [82202290, 56651737], [85520440, 1720464], [22058105, 62456557], [91259413, 76660783], [85491500, 39733419], [90705827, 38098141], [69980165, 46197638], [8730443, 95467286], [42253680, 57781499], [35473873, 889749], [22848428, 96931783], [62741883, 71550699], [26723737, 91664270], [17209559, 4195045], [19751472, 99849757], [17396110, 12084627], [35090672, 61953601], [97725847, 30541673], [54235536, 92159321], [68477351, 85990048], [55715399, 35564053], [99443225, 95766979], [71468569, 24417076], [84033618, 56243480], [43322114, 82722109], [62395944, 66585721], [55515383, 11104427], [31901890, 53673873], [25079095, 78176777], [22413209, 16170016], [28307098, 61455296], [81546694, 54664120], [59374681, 84308344], [80267765, 59895002], [20862006, 18373266], [80758991, 79066904], [33041135, 63760136], [92678459, 70372723], [45750198, 4021999], [62943882, 2277002], [7542236, 11585024], [41087392, 20229888], [26439249, 51646520], [12796887, 43696582], [98074704, 19177151], [45244146, 70150796], [23231782, 12006061], [7024312, 44731834], [9016129, 41780973], [13520221, 79405477], [29464290, 78055748], [10892352, 28585767], [99028333, 74813104], [90392760, 27272257], [68880947, 37491024], [88820451, 65450097], [43229552, 1195551], [34203374, 10815798], [66206160, 9392024], [12790626, 49224875], [80354981, 94273481], [43375526, 53585574], [13869697, 13863177], [47458389, 77410809], [46714281, 88615230], [36778269, 94099893], [18347892, 41364078], [93000552, 64217027], [70319855, 3386234], [32638673, 53737949], [58691534, 50187255], [15583346, 87759662], [585847, 4044418], [83537624, 26305736], [5275934, 83587688], [47150901, 17027141], [30311208, 4651848], [15830078, 23673819], [83642954, 88159311], [36471050, 86380969], [83179501, 54931334], [12209015, 46513466], [452208, 37241508], [24965484, 36450833], [2515221, 50892850], [13560042, 58720151], [10989972, 65645277], [38103613, 6554927], [12912145, 1222250], [76743971, 53814132], [56565657, 64579066], [37891726, 38740113], [54739022, 63840349], [92776756, 50198993], [26821841, 73049933], [25875957, 1912269], [20264651, 97012015], [17686247, 35301788], [88968241, 32257855], [63315540, 40481599], [72116181, 98009176], [7347601, 25715008], [91590473, 50670577], [68207556, 87406695], [36498421, 45945012], [2891228, 34380192], [99943668, 2529176], [59380061, 19214643], [97350149, 4299814], [49296144, 29524325], [76730342, 64690867], [88888861, 10232831], [3141718, 72081643], [66326508, 43648885], [65151050, 33995313], [14064893, 14182017], [84817737, 3211771], [1315008, 53773656], [83842251, 88256322], [43990575, 32049997], [44223688, 43816804], [33100203, 98433321], [97052709, 22997958], [47321903, 9320344], [61368102, 7532111], [24551680, 97196987], [97199365, 9565341], [76332759, 7905722], [35329187, 48229893], [32427380, 72884342], [1909724, 23721948], [8837557, 575551], [1153699, 91193282], [48494645, 19491400], [60819742, 90902587], [74239505, 55292952], [54110049, 65828038], [41418971, 70187065], [73628940, 1728454], [62017359, 88844742], [98063266, 91483916], [11509191, 77831618], [58613367, 90989398], [49085751, 96589426], [46016775, 40435793], [31489519, 95188467], [13192461, 69107524], [17343814, 45931536], [17095343, 54959787], [85522029, 21280551], [11323713, 77765424], [34084637, 93392252], [98152206, 16225485], [38086828, 54824459], [74101864, 80226427], [13123964, 32384754], [85786062, 28738620], [86119109, 60231419], [25601586, 23789345], [39731509, 34458492], [42700941, 83251408], [65598454, 90157898], [19178418, 92398581], [3050055, 46793301], [53703831, 80944833], [10787333, 23698787], [70638207, 89255610], [54556427, 16660626], [84713948, 51960476], [84965744, 63966122], [65138594, 29220438], [13231127, 3337447], [91142322, 19842113], [90061404, 85517256], [76494382, 5992114], [90979772, 53177304], [71461624, 20076456], [42371666, 92941265], [15630557, 76646986], [1610201, 48624521], [98305001, 21264752], [37825302, 33587812], [42367766, 75677127], [4431586, 50860759], [52433764, 33469475], [2284705, 69658930], [61974166, 97941357], [93638055, 21970428], [74938539, 69815071], [3638541, 39415914], [48658555, 72769321], [39592060, 71133466], [300522, 84640891], [59068219, 38387613], [82492937, 9658440], [59284305, 85192566], [76164232, 97491120], [15279649, 73331639], [19663772, 58392586], [28553162, 42519864], [41709579, 59726457], [69427042, 28500024], [52987453, 18778862], [36085687, 75872405], [8846440, 61896892], [4771358, 62749284], [19393068, 71361329], [28894391, 29928140], [33413553, 44030778], [15502168, 16486915], [12545262, 26213640], [22191895, 47381406], [39254788, 73582972], [10096386, 92258510], [5879314, 84057678], [43937105, 76511709], [62502916, 49117360], [36123315, 22471617], [63744155, 2628300], [5616839, 14937098], [61981949, 75773484], [61643784, 89708595], [35886339, 13071307], [87451094, 52030126], [6917358, 84914685], [93354263, 68759150], [75424633, 84123105], [40218106, 41968141], [66987543, 52220445], [40739123, 38833377], [72967881, 33223341], [5778690, 61661655], [57449509, 24933595], [89002018, 5000693], [99303720, 4942290], [77852556, 57405319], [15991088, 83465645], [8810420, 37535644], [96555050, 31473835], [62251814, 41386035], [33609480, 71291937], [81208748, 51201554], [23001972, 96513108], [21508967, 28316115], [11607084, 54451671], [92961968, 74412709], [44533800, 2822428], [54674254, 75500226], [86181128, 42928151], [95989475, 67478952], [5273423, 16592305], [55326521, 40422257], [79374005, 68745106], [31870144, 20415936], [22669694, 79096349], [41341188, 99395282], [19931835, 54565570], [60080905, 23356020], [14212692, 9443167], [6843849, 12756953], [59887912, 2075359], [12840398, 2359773], [77659947, 94493332], [91462214, 82570726], [83781715, 52427708], [73924252, 85673713], [66590160, 81166519], [61936554, 2624570], [84048453, 39919509], [60810308, 235996], [62713402, 27554152], [64478604, 22736202], [64921964, 31388105], [59806018, 79841503], [53118247, 54308496], [82900220, 15532416], [79398891, 84040962], [39163035, 87714201], [33969239, 34235249], [75254806, 91963545], [8610979, 92692025], [11738145, 14037102], [46391134, 12620392], [25984921, 62423879], [7967361, 83312684], [18147364, 51950635], [35146630, 93932003], [4098404, 52509733], [11307912, 2547972], [85286446, 27717684], [32005734, 27228817], [67243577, 67545815], [15237645, 77851635], [760961, 90576516], [61940461, 13712531], [25460907, 25935249], [1704318, 87664968], [67732865, 15242871], [44208278, 33761739], [53931515, 75584524], [26707521, 54646742], [73644807, 72071581], [19998806, 38793239], [26761226, 98715866], [6904852, 22148022], [46056751, 66162173], [49237482, 17253914], [90921871, 50219298], [34578761, 78195028], [6684683, 4749169], [16988687, 43052142], [78003293, 73161888], [24368075, 80115912], [64850620, 44403547], [41639688, 5964213], [39664175, 47470850], [25891802, 79599359], [37904493, 93419795], [16831668, 12388466], [63816086, 68745733], [76666302, 86822519], [2177461, 42285036], [29001239, 68928465], [16262700, 80999767], [95758256, 79610519], [5045016, 48390321], [6695329, 22578723], [89559327, 99128162], [36178378, 23946304], [80903939, 70411341], [54191681, 19953250], [55250705, 14223230], [28155567, 16166337], [3039288, 7795088], [28406752, 99740643], [44616089, 80044752], [75434515, 58589016], [46142467, 49730487], [81291654, 56771916], [39836664, 14564695], [51163196, 91374472], [54014883, 39393438], [68878975, 73317129], [63244315, 1415283], [87760061, 19008850], [43749499, 37363511], [27243950, 88111614], [49791660, 2197713], [80111378, 89037008], [51499890, 345393], [34149875, 20405364], [54611059, 88885502], [1149182, 69587167], [81842056, 79966190], [84860213, 72377354], [47056148, 10007365], [43742354, 83750603], [59954017, 69086207], [30578374, 93991635], [18306612, 32415973], [4578182, 6233781], [67910702, 20940066], [59132021, 40911394], [93400348, 23339494], [16363908, 86733080], [38318874, 47490485], [26851579, 73789519], [3213001, 96893560], [50545440, 24057469], [40357588, 57541645], [5922152, 19022598], [19998431, 28481204], [58456707, 33983400], [24644418, 19367419], [6308761, 66141640], [1426240, 77315753], [88225099, 74978596], [22248136, 16103746], [67436508, 7696498], [98197185, 20725103], [23176111, 29284395], [4269739, 71636343], [41796249, 25271784], [18839387, 98823538], [86189384, 50541146], [61316254, 12115336], [18556440, 75286044], [64347871, 76535597], [78893082, 10068312], [85854658, 34740664], [35275771, 41736416], [48957159, 50485560], [77931415, 563670], [5463347, 11709220], [53434169, 42702849], [69675486, 41500605], [9265641, 29654261], [27071604, 73570210], [7987128, 12984533], [37392331, 2152562], [94462334, 36656727], [19580459, 26358653], [40469312, 67207355], [25836390, 45391069], [72299917, 37443817], [62477663, 99416526], [74296664, 2876540], [75324126, 15890822], [54757426, 85186539], [47744398, 49971052], [27528417, 89886115], [78025716, 48303074], [40799384, 4845733], [16454275, 12470259], [14351360, 29390713], [59983985, 85116004], [2222223, 31002845], [71023977, 58573185], [12482533, 25545834], [8411121, 13080584], [46223373, 10193224], [46564668, 77360422], [82005771, 52199213], [42839971, 62293480], [31569670, 1680631], [56592387, 32498014], [19627318, 42263281], [257232, 3459312], [14825618, 98712192], [70844161, 19399270], [71480343, 18624319], [94325888, 18099315], [81574490, 85381255], [84867926, 61583256], [91949854, 96222142], [13010742, 16614042], [22721611, 72556836], [4958371, 53973472], [66111122, 9900310], [15549419, 29075889], [70862257, 18518974], [31428351, 1604371], [84079236, 38153117], [45894904, 80556746], [15381773, 10757920], [9628634, 7263522], [88364798, 21261052], [43618995, 83661607], [6785501, 28944508], [87522227, 89497024], [34284130, 36570702], [96378391, 85346240], [7535215, 87810344], [7414663, 82194777], [86251060, 64013551], [89953881, 33386567], [9365794, 23478636], [36627396, 42283970], [43926549, 57132374], [75863139, 5428558], [35682769, 72910234], [30551676, 68504269], [78023548, 41581048], [17147238, 70286334], [19005369, 12943363], [67162731, 99760967], [71054888, 41972023], [59682894, 929336], [9974343, 69973084], [22346482, 87242373], [86573721, 6070939], [85537832, 90118129], [47411793, 92838956], [54827056, 40922683], [94805021, 51874722], [74859127, 72125764], [29909179, 88594819], [65468564, 26640714], [14474695, 12882701], [84845889, 55045780], [82815700, 55757047], [77971287, 69809701], [10485522, 18719387], [51711997, 61013318], [23173118, 98845919], [65413525, 41136661], [27608153, 41868247], [87472121, 4985553], [51387903, 31567789], [63081612, 78239963], [31278932, 77862407], [68705431, 7241753], [84848891, 43430050], [21950683, 68020937], [96205731, 30217229], [27353265, 91472938], [95820115, 78818694], [18452954, 35093594], [84125611, 54823382], [18492231, 1063652], [48320027, 84540198], [57742951, 15335302], [52796659, 11722310], [10183009, 59749275], [61732420, 42539075], [10485602, 13069452], [13843841, 93485201], [6268117, 549256], [55533588, 1265453], [48593781, 84966529], [75654080, 37480287], [69658374, 55278855], [50218442, 99382432], [76737001, 34773935], [40020286, 40050956], [31209183, 15092533], [93767770, 73676211], [5292948, 14558823], [18491325, 63553215], [15298415, 42488097], [26493427, 44031912], [24661594, 56559361], [15445738, 57254231], [38994418, 61944109], [57083226, 21023650], [72589848, 73584841], [56691860, 78390554], [27560141, 67182467], [79081342, 63036860], [35222958, 403263], [59835507, 53497852], [83816067, 58273342], [63416806, 90646357], [26356122, 72008853], [58439248, 91164824], [60694038, 12852051], [57239510, 92450426], [9710779, 10599439], [36390269, 26800018], [16467570, 69926197], [73073803, 44293880], [19793084, 38944920], [84638810, 97788261], [73110660, 66829324], [11047730, 94019286], [4508302, 23085081], [56795616, 64659174], [91504541, 17101669], [25804345, 16972575], [89665623, 14171371], [8184693, 87231796], [1112508, 45068260], [82644090, 83439893], [74036503, 40749959], [26019594, 22538955], [32240195, 39069902], [31008625, 21140852], [16799610, 105962], [10770796, 3543243], [12667360, 3139605], [66219877, 12442059], [21123104, 84762947], [1705397, 30715955], [78971948, 56913115], [32186658, 31291734], [10137889, 8051750], [96148599, 61669203], [91729622, 26534349], [38566730, 80964920], [13341204, 8377967], [14290223, 53135989], [97627912, 82798578], [61797733, 68069640], [14062405, 12730293], [67951440, 61467916], [71463855, 87499062], [96039614, 6667635], [50981304, 46392442], [80846872, 58217923], [84962795, 45953341], [4309221, 28292320], [58908038, 17832046], [31779136, 57510150], [66343256, 90650379], [42946504, 19527254], [22983912, 62634477], [10903226, 97892299], [64604287, 90956994], [55944223, 20804967], [37105152, 17338290], [6520189, 21768659], [49872150, 27625051], [74342822, 56632115], [49501360, 28408836], [70103503, 93012495], [74246673, 1104081], [28760396, 57092733], [43959541, 77020615], [75078350, 20789072], [5603874, 92340631], [97894754, 37808651], [93366448, 39957711], [47934522, 87202883], [50912007, 57069149], [44213248, 64610427], [31843199, 28398843], [67718982, 83623509], [44951481, 35167822], [74024875, 97324040], [3419200, 85945040], [13955421, 11232362], [64183308, 71609071], [52449244, 98919139], [34644094, 54595343], [75331584, 65676152], [19894971, 64703832], [76518688, 85602294], [36748406, 93443161], [115484, 17070422], [32214072, 26694894], [64628412, 34857901], [24128525, 61815192], [55483096, 20620280], [68936178, 66497832], [26299825, 41350371], [19844427, 77366257], [43786128, 21729211], [127001, 25330427], [62480566, 87922034], [17115731, 60295802], [32639823, 34988336], [79180489, 3515191], [75051833, 58055076], [83439205, 2616305], [45897716, 22619082], [91179003, 63060012], [13323278, 51607053], [24096968, 48317239], [51714734, 14222460], [11814806, 16076699], [74991775, 71237150], [71314437, 53004763], [84843727, 2939489], [45797916, 66209218], [27573684, 78965708], [39517886, 96402499], [19533059, 23861458], [49542508, 24425308], [73823586, 34664167], [49826723, 28363919], [91943315, 69724494], [49336171, 72520603], [92540152, 93305079], [55979881, 58982857], [74522412, 34723586], [83725361, 71322362], [25724733, 30960799], [17592130, 67968545], [3130190, 33948611], [64546059, 78766596], [36742712, 26039532], [30325291, 95767458], [12647155, 72291900], [41648821, 49930719], [41231797, 41040601], [1445564, 95031148], [64566048, 92019560], [62952607, 59278196], [32374242, 1024181], [20133662, 42363908], [99846440, 16416339], [98932248, 23175118], [27331961, 30123730], [79001421, 73495410], [57240485, 79168814], [59245771, 37613860], [65319263, 22846815], [4937555, 144810], [25945715, 45750136], [92379863, 98515227], [92503950, 18715273], [40607989, 94738949], [49552033, 21706490], [3613595, 91559401], [27241280, 24997582], [76771464, 88007026], [14592475, 87725602], [76817626, 34150517], [11198420, 63327792], [17830137, 87345048], [43164161, 42642609], [425879, 59217523], [75788264, 27569516], [55556817, 63933890], [31239269, 48482589], [35347383, 70112838], [48521906, 64953253], [19908199, 17998324], [97511945, 44952743], [42859542, 69647961], [30277831, 19714060], [45366735, 4097901], [68130920, 20312490], [57932692, 84946639], [89284014, 69815088], [2628404, 55973414], [9222260, 65418886], [58077432, 4631774], [66311839, 92508409], [9548767, 57121530], [65523651, 50419865], [74250801, 93678978], [73269834, 75215059], [13970564, 96548492], [88597789, 75519920], [5159977, 68343662], [29402803, 40155101], [59639088, 95818331], [27017741, 61775052], [30313623, 18256071], [26378246, 6642643], [56202032, 99024698], [34114744, 98617456], [6714590, 15522214], [66173744, 95866637], [51479724, 44472983], [96061463, 97703929], [55653115, 37626575], [73410638, 69828997], [53481624, 42805004], [16506617, 5019192], [63511242, 31159609], [45413854, 61796654], [42331017, 51119600], [81256484, 56868806], [78493373, 23284241], [66006451, 25158950], [18852155, 12306805], [16297865, 44359265], [28687619, 88208438], [79697993, 72010312], [96442082, 50805302], [8757316, 7273594], [76915964, 41912908], [51944130, 17786166], [38520417, 3657863], [11192331, 69988884], [71955397, 52226547], [45489757, 36056276], [15419394, 96710572], [25743504, 90556712], [39057744, 99716736], [28819643, 80899593], [76643772, 74666830], [48663586, 77819828], [91846286, 25843172], [30240733, 12400363], [73100333, 46553839], [40272474, 5728985], [50083135, 77802604], [33741015, 52457188], [12671795, 38800182], [37699453, 39244963], [78833026, 93269321], [67999466, 96447486], [81470403, 43723736], [70258804, 30030617], [54898547, 52873460], [72277646, 77273421], [11096519, 35441482], [91412328, 20637394], [88289193, 82720278], [95203679, 63590196], [78035436, 1679921], [29316990, 74025233], [67625219, 57717893], [43834384, 8206957], [89638671, 20631089], [40476478, 90976220], [1810356, 43631260], [76440157, 51542056], [90680917, 71045629], [30730664, 47351300], [64030721, 55517630], [37534436, 12092955], [29543201, 44509964], [85468610, 51363356], [61512687, 89538385], [37878512, 78833183], [46716835, 34079241], [90991698, 33627443], [50109892, 11480207], [29475245, 38201212], [17933015, 68310351], [11572039, 80437862], [91536950, 28495955], [14732463, 73851661], [60808450, 74349449], [4527278, 41349843], [64853976, 87754873], [46419985, 64152930], [65955307, 24332845], [63677027, 87845932], [77369922, 6402049], [25293916, 5008701], [72475097, 98836681], [35184641, 35859687], [58555365, 30995323], [99893924, 79360976], [3723636, 81381749], [71817611, 55830652], [12233584, 17794048], [16728836, 39723339], [72700867, 14998358], [44157587, 98781409], [39323043, 38834967], [73350347, 67141680], [92304855, 43164105], [99038642, 80295791], [83096883, 98370806], [51925101, 1119277], [82695205, 40508432], [51539064, 6861781], [30570386, 54490923], [15247287, 28999163], [27927031, 11006202], [81061947, 88568318], [10081496, 87278266], [19955883, 64731872], [9469460, 67021869], [62228640, 68771985], [96263198, 20422156], [59600649, 82127625], [98695970, 62963446], [28807354, 54639992], [62383697, 71242116], [39501786, 10794310], [77660700, 91500364], [59590246, 88616476], [13222068, 38384945], [78741206, 76457847], [13379923, 83960076], [41557359, 49655264], [95705844, 48762099], [54620515, 47525772], [37130594, 89676250], [20718714, 25788524], [66924556, 88692703], [21219536, 61407246], [22237889, 27129685], [89889144, 18201495], [57566596, 74094549], [13177571, 53960403], [54877765, 51886753], [19531562, 52096684], [48327856, 33436345], [34827867, 84783156], [79837208, 24612542], [23848322, 31488730], [97696620, 9407241], [73809831, 24283947], [50336660, 48630947], [47730957, 76832009], [33679982, 86964460], [6136738, 98168407], [35572795, 81728636], [79919553, 49252342], [70481855, 27308895], [3859155, 23798196], [4413642, 64403012], [88464469, 94540077], [20076886, 24387848], [81189829, 43936185], [92413107, 11833828], [14735753, 81841942], [99218083, 102031], [9256118, 66530765], [72821590, 84815170], [91569310, 9260348], [70948418, 17613006], [74023441, 38361009], [87259551, 65741692], [89563065, 46634579], [36423253, 17220802], [23148701, 33134493], [87802098, 61920279], [24706323, 81872311], [31592778, 93864319], [96486397, 2790559], [28535826, 99178395], [88436408, 67575705], [3095341, 18813010], [14849260, 2937624], [24512424, 78382485], [64503759, 41572693], [71009897, 89302124], [3262355, 17653486], [97101938, 41605600], [77221730, 24179729], [90027159, 45139823], [14981924, 66231105], [5438657, 71405397], [16530632, 5315929], [15815146, 69695141], [7756788, 73304416], [84158571, 55451286], [64100975, 62558861], [60938623, 86429084], [29954477, 47751539], [77301418, 65140801], [92168762, 74150639], [24015997, 47703543], [56535623, 10935039], [58077529, 4171617], [79400372, 52315112], [95725351, 7346242], [89015505, 59404794], [96957950, 45239721], [16080945, 47312189], [75359275, 87467993], [63128360, 11321553], [55660278, 63391958], [80875523, 42324796], [4330960, 46960397], [68333252, 83884], [40446740, 81581616], [37857290, 48474592], [19001327, 90298830], [15096829, 93642415], [49872472, 4204617], [16837801, 63332227], [67334013, 2128052], [9817648, 87599722], [35122381, 12575716], [24197340, 83856677], [19897173, 31195978], [42712180, 56039678], [51850206, 57084941], [61374366, 53127362], [38195520, 39267559], [90617228, 14856535], [10001136, 73401892], [7398068, 40367118], [77345965, 3044806], [2568731, 47383886], [65463064, 84180042], [40275665, 20110768], [81743635, 73616861], [44667553, 91214535], [94658390, 51605282], [66044193, 87696017], [82910648, 65901861], [24939390, 99843409], [54229839, 14718682], [19812167, 16007296], [83918669, 37833842], [50547579, 72501898], [21696554, 27202918], [13533214, 99702277], [42583896, 322754], [48165854, 51694140], [8406654, 43345200], [58984892, 4075663], [60932911, 60395052], [31452177, 32890362], [59351020, 99554782], [85512189, 1779384], [39651599, 8830537], [45429596, 69690276], [46184282, 43488287], [46066069, 1064906], [75938595, 6868839], [58465735, 15635534], [10806348, 48409478], [49271455, 48135541], [28381747, 28975692], [46151004, 63361584], [96534516, 51588067], [69475603, 49216737], [29723356, 15465115], [40506439, 3858876], [35979835, 80170906], [85541585, 94889890], [11720610, 93097618], [26522983, 59759584], [34598247, 51037061], [57119933, 49560328], [24327794, 42389291], [32867571, 10897470], [46220586, 36190909], [46166797, 92075495], [45905133, 65509400], [32770742, 48949259], [60205713, 11057436], [61252655, 69409826], [64615039, 42913835], [52970589, 19134338], [63547065, 130436], [62001975, 56212981], [13018944, 67055352], [54235540, 86863308], [94104100, 61593520], [86389152, 89237006], [15633096, 90260934], [23034458, 50772879], [37025231, 93688632], [71636268, 55766417], [28354468, 30903911], [60303774, 33086180], [93282953, 81893164], [62340268, 32456588], [49689581, 94011089], [35383723, 20611615], [19224539, 94171235], [49875964, 30203292], [97178833, 32879074], [20597644, 91165145], [44965388, 53563492], [93901867, 39353479], [57297723, 39077252], [1305852, 6844488], [19304238, 79987676], [81691989, 54924664], [47737588, 74530501], [3306153, 68012334], [1301404, 88206895], [73110503, 85931318], [74237221, 89400284], [81371100, 72189816], [7654545, 36426870], [352689, 84221616], [15166079, 37263044], [2874039, 5698454], [49258097, 42239951], [94331662, 94519293], [67978112, 82983515], [74890538, 58981501], [10551691, 76248878], [78984946, 82638820], [68509633, 22237124], [20987377, 77987970], [19656914, 81501518], [32011085, 82576364], [55465606, 98731164], [61441553, 79504637], [11423253, 58301902], [80906028, 48181438], [70473363, 50782222], [19247311, 64751823], [96102270, 28237889], [99660582, 10313374], [67436051, 113739], [67870434, 52157813], [70061418, 2644386], [15056227, 47907089], [21675746, 41370871], [38146181, 54681776], [37869922, 75841161], [77784678, 36562831], [69366, 89351346], [71263323, 30592898], [70570549, 2452788], [76595960, 63067285], [96777470, 583069], [20347910, 96445098], [21618179, 21579133], [61873028, 25563460], [75189378, 8278434], [69697012, 30626877], [39999761, 58821910], [82186208, 82641174], [56362150, 85430952], [1731648, 61144417], [58081974, 63373667], [23741341, 74138864], [93064384, 16403692], [763122, 38336339], [71676265, 31549077], [38209554, 46642026], [6673112, 25854737], [32127243, 33021085], [69154570, 28337794], [26311809, 95874787], [44315347, 56242207], [80719134, 93395015], [5591386, 62026870], [31529502, 27197401], [53715468, 72214645], [72177082, 52000482], [92776663, 33482521], [37794495, 41199332], [90506044, 32962095], [72301506, 22641060], [91349162, 58975258], [45197713, 70658051], [21843180, 94270883], [46534130, 48713626], [97133932, 37544159], [57943771, 90436866], [91682710, 31003418], [1329535, 44872354], [77394005, 43358159], [4986446, 74022420], [71755269, 13152502], [5639708, 18836199], [79251523, 80033972], [21362760, 51250770], [49736588, 8860657], [45233392, 89301481], [81114537, 26200407], [19091276, 61801245], [62330556, 7629392], [79728391, 94252059], [58304257, 19645429], [81712218, 20009420], [43175503, 75194224], [19846097, 89891262], [86382783, 64718308], [65211463, 85969567], [17546953, 54360556], [89392927, 93717328], [43313693, 10182283], [97954575, 92081015], [53881831, 1420133], [62119074, 94028719], [37973589, 90568362], [87420654, 16762481], [76703990, 70974239], [8612536, 74613957], [78013572, 25340674], [2539491, 70857993], [43398649, 14634739], [90493977, 49759818], [72147289, 11278629], [59783678, 37334881], [53402778, 3401160], [35001370, 15357222], [79487582, 25902682], [23155708, 66605506], [74299024, 20585359], [18856483, 63197471], [98489782, 76010710], [27926288, 99116527], [89797769, 49030826], [67874316, 79518036], [94727468, 27299368], [98918365, 14137857], [46825785, 72460270], [78627901, 99020922], [55168216, 58203156], [59149781, 29082862], [5444518, 12843976], [26059681, 51769997], [86304663, 28567996], [8285079, 60892506], [33452496, 57798031], [17434357, 39251710], [73000462, 7278572], [2215268, 31879961], [22304742, 83737167], [4161700, 17762387], [33987420, 72706993], [32483254, 48053523], [27382149, 31330269], [9778795, 42512890], [35603094, 75901389], [72934716, 31906102], [39285036, 46390490], [51672264, 27102100], [77894591, 50750408], [35996151, 12522955], [72530805, 15570408], [78343375, 91899457], [20384247, 29953338], [3817080, 21091347], [65583989, 46873754], [50658252, 8723788], [2635807, 74713065], [73663972, 34299807], [32044696, 7008145], [96436827, 87366012], [55240005, 1592979], [32405458, 42621987], [67076585, 32918817], [61084969, 38129365], [34276837, 97104300], [65338969, 42614462], [47930280, 30689278], [28457372, 8148670], [98742921, 44499930], [55984423, 14682961], [93159833, 84801773], [97517157, 62105648], [36963270, 79590914], [15263273, 41339242], [39681168, 13994497], [80493924, 75095087], [66216267, 97292765], [73000236, 92438693], [26857745, 13603600], [28103325, 58036019], [30775692, 96699447], [14945148, 39127975], [7486637, 37944612], [37353049, 19999628], [73920641, 33403275], [40670378, 9887100], [55326204, 60259337], [94251086, 84264455], [77460204, 97709131], [75017298, 86991254], [59964104, 96026413], [18673958, 30495639], [89195649, 45632867], [4311786, 75473950], [37395046, 71327055], [59647817, 36589590], [82343624, 89482705], [76812224, 74764501], [83374237, 67443808], [52525360, 80709730], [34966741, 97762330], [37965083, 47406955], [30179775, 69664911], [74563446, 60666687], [41323095, 14781358], [81141645, 887510], [22068941, 42070312], [6534158, 55983026], [25939309, 62443939], [94565800, 99582396], [76646370, 47504408], [53245727, 10365623], [82499982, 80669731], [37083613, 24223897], [64146521, 44490890], [40931693, 38994450], [99994158, 41806308], [50425155, 74661377], [56952281, 35303415], [2772981, 81884061], [36850490, 2370344], [98851442, 24949190], [75857202, 29750497], [1707900, 94879074], [14356462, 31909418], [38139008, 15966250], [13403533, 96729857], [9982419, 81979749], [76970156, 37295274], [343143, 89358024], [22903623, 19313777], [3584738, 7095508], [46199730, 4957578], [95490298, 39599631], [62356035, 13981044], [38082112, 2261217], [25266794, 47491830], [15301123, 27759427], [45251019, 38646503], [68769515, 17058633], [73285319, 94114599], [46552894, 33124590], [12404552, 34926045], [60092698, 91453417], [79429456, 46181306], [99990645, 99362214], [98188879, 35058488], [62486324, 75239948], [33276286, 21095668], [65413946, 53850737], [14297322, 89643126], [60456968, 41970381], [6364299, 74064453], [95081338, 99527745], [35311834, 1814464], [71102517, 37597014], [50631870, 22028930], [47144448, 55795577], [93462429, 11619517], [59385668, 48966813], [60254030, 62390617], [21698984, 9752699], [52056988, 67005926], [6884692, 28749945], [53719068, 18666717], [84845440, 552247], [55329191, 57519913], [97994672, 84288482], [92975280, 34104553], [87598635, 54169140], [90158143, 65581258], [94362714, 34821859], [57674813, 92298257], [52528170, 4229358], [45053077, 70082390], [77057993, 33066688], [76134086, 20957262], [36733551, 84168534], [39000089, 56859567], [34553006, 44467943], [30408294, 20685414], [81466849, 31368430], [64073887, 78602885], [35575463, 62979594], [49011233, 39894832], [41977634, 47362449], [42252089, 69728712], [9268092, 81188065], [2064591, 1588127], [84960456, 30134713], [45951333, 62266155], [70688159, 85490563], [34607921, 13945927], [29704612, 13235129], [86539226, 16891796], [58221452, 70780586], [98624868, 41537155], [56560604, 46845244], [92448781, 43928379], [40316678, 76966257], [93709100, 49430453], [65408555, 24938004], [5412870, 13280702], [54040690, 91533764], [66953638, 77292053], [53067275, 62317368], [61698721, 31720888], [2682701, 95486928], [14643980, 73095413], [1597372, 56048696], [38523241, 18350060], [18705490, 712296], [6997961, 93732214], [79960503, 44099445], [66880160, 75142692], [5191809, 87306781], [27465086, 79843259], [58807039, 5721307], [34743443, 3294310], [10640288, 72896148], [86494777, 60862510], [65948138, 46770255], [10416478, 44780903], [55922697, 73802004], [8721606, 96582579], [97772392, 45674139], [26136539, 20775967], [33532140, 62789220], [17318981, 4363215], [30264580, 9471743], [38911367, 21773089], [13610245, 93056861], [10664582, 69582309], [50812076, 41456736], [75011731, 53480453], [45262982, 87238184], [5783718, 8737659], [72886418, 43961243], [5820210, 75941551], [41052054, 92119248], [4578135, 74242149], [22218411, 13287251], [42101558, 48564667], [73545189, 70265913], [26435032, 17846261], [79839348, 24533121], [36513517, 83396649], [84210007, 5734616], [12265563, 3861724], [41464989, 90189007], [23825452, 46317625], [14984355, 1116885], [39431541, 93817869], [83100853, 82987292], [7799868, 2173433], [5665829, 37771243], [42147320, 29408781], [60588742, 93945052], [79179336, 26944023], [74259820, 80571937], [42494425, 52118925], [31670117, 77354949], [80333016, 61806615], [81618890, 11634420], [47773055, 82212059], [45385848, 95192786], [9636801, 55417011], [79141702, 47898930], [62020925, 16605695], [35453309, 81823023], [71664817, 52045049], [2967392, 94646699], [33742251, 98650199], [3622030, 51504276], [18594056, 81640488], [58579686, 37787653], [84451384, 49416746], [59446065, 76002390], [77805147, 84722109], [57889815, 28135165], [35821909, 73866540], [55111544, 51369375], [33767351, 60329797], [30493880, 96647782], [58087544, 79541743], [4380839, 96691048], [20695633, 32860498], [21899296, 69510272], [63353197, 7048476], [92948647, 17029796], [44227612, 13750923], [64362670, 38983559], [68622747, 18948767], [5921993, 98869862], [1202749, 23136647], [61038953, 4455762], [73616797, 95538093], [7242434, 50684909], [26839592, 24699305], [87638478, 83751656], [12346, 62318415], [72046446, 56157711], [38966396, 3159648], [32302222, 66023887], [10091134, 57534184], [44762324, 89674690], [16984559, 40703316], [11635529, 83067991], [6256059, 99329226], [86553501, 19803914], [7920513, 38628617], [53594406, 17249333], [53017238, 93378929], [58690287, 31834813], [72243695, 10815653], [14351897, 94235740], [98493926, 68403303], [55840302, 94947576], [3710905, 96574448], [17143342, 68213961], [92218706, 28968330], [41562076, 28853651], [77047794, 80284699], [88860818, 22635948], [53744250, 33762958], [9815713, 41107117], [481474, 59722693], [80903183, 17084109], [89359978, 48377884], [26361229, 74284535], [19217798, 46793508], [87332138, 80853183], [65435519, 59621535], [96415421, 24631598], [93291281, 87631424], [85652563, 74464742], [77305459, 72413159], [59399631, 30923116], [62027509, 87656856], [30382122, 34459073], [67679923, 92066510], [2285374, 30439843], [74771840, 86337499], [85192700, 41722975], [37190479, 24243822], [75292260, 24700981], [38755606, 89836524], [70912947, 69987747], [38922737, 74612494], [31931311, 32714206], [30532219, 71481127], [76908995, 60992087], [75246021, 66120944], [75725541, 9464691], [28565688, 24501443], [31249894, 20689191], [15167405, 25836128], [79360317, 82152614], [30975800, 18033709], [52065135, 79226841], [43899367, 69490621], [81213079, 43168644], [54604565, 31721381], [20222654, 81630508], [11915380, 41842902], [95540073, 92928022], [18024456, 52816392], [40982142, 5377802], [12870354, 30770380], [21346508, 3714786], [18345721, 65603324], [50003621, 35032127], [9188961, 17126883], [49607327, 4316194], [59897776, 84827563], [52906638, 67283805], [52306512, 14876137], [51123099, 81836759], [41213069, 56298534], [80963918, 30864162], [91585057, 27265260], [73155433, 19565949], [38827806, 48339879], [19310047, 75201806], [53567741, 28800506], [12277110, 23231444], [7315941, 19160431], [76197932, 83654687], [41153075, 47488300], [81227565, 584106], [8206833, 77465243], [87464692, 595837], [88026167, 7800409], [78895755, 70399966], [31338125, 85815036], [36975615, 90747143], [11575419, 30729957], [33545646, 11436353], [92752007, 52067827], [46551428, 21567760], [5363453, 73816293], [73222638, 28313554], [77826846, 40847346], [72406048, 51064028], [58500813, 42404005], [73486263, 93715721], [92897228, 80558454], [82356330, 93331072], [14126512, 59033226], [97301454, 40078456], [56270606, 61199971], [41131368, 83502579], [86733273, 53131975], [99679117, 27858576], [33166345, 48672299], [45035883, 59628955], [41166220, 4203357], [86825121, 54614941], [95351343, 52251417], [40724214, 25152056], [81543415, 56784178], [25998447, 74657049], [74604194, 7874945], [71946240, 88935689], [95484358, 50565945], [76283006, 72814953], [44943146, 26963984], [72068546, 86277143], [31675301, 44984706], [99192797, 90747741], [85676564, 61165630], [30108452, 14603468], [91579440, 23176241], [45217189, 6835568], [49479464, 44415307], [67271917, 11183036], [19392434, 66751180], [41429063, 89827648], [28464689, 28892242], [84821212, 70185684], [16746596, 28113178], [71603729, 30550114], [20573493, 46127826], [56577781, 48117265], [86609507, 58394098], [73227192, 53219576], [63100000, 40759384], [35040688, 90600997], [93770787, 73733890], [94452248, 13074416], [86699323, 19243814], [26844143, 20941001], [91008562, 52236038], [3766489, 4474176], [82042794, 37135674], [97619732, 42734393], [95551277, 31959880], [93909046, 94211423], [56113597, 20178887], [10354076, 95352742], [16097635, 74409169], [58286580, 90705734], [10614971, 2232511], [44501046, 78001173], [70384749, 70950103], [88579654, 23640653], [77865833, 48610034], [25234645, 68764737], [75856828, 75657044], [92046903, 9753370], [48417587, 34474584], [97476007, 32137011], [61116497, 12086933], [76915605, 22744616], [58123435, 67252572], [82598337, 69337346], [94936727, 64123473], [74376082, 42411899], [88234062, 53777638], [47261085, 53911634], [39845398, 79034113], [87114532, 94640951], [2543382, 49169683], [80228542, 33440506], [73452678, 81048777], [53336500, 99051110], [99011136, 48703226], [15600185, 79730914], [28441653, 85143409], [85844197, 20725991], [17190927, 45648366], [33196026, 60775297], [11698104, 82670513], [13600944, 16306237], [60676355, 43407095], [68664362, 99513403], [40670329, 64823647], [99135160, 10397901], [1652920, 5063801], [27596954, 23574492], [97931664, 36411904], [38828537, 36930473], [130728, 32819896], [53334877, 23724327], [53388025, 82674233], [8895510, 68666595], [76275337, 22633979], [84690905, 92461980], [76822936, 22607395], [90535661, 58800603], [85238887, 25703576], [65871144, 65786287], [83996505, 31855545], [72771049, 83748875], [37100945, 49567199], [68647093, 64720959], [84263063, 7888566], [33239606, 63346157], [11383333, 8212510], [2560152, 86572786], [39716385, 42423709], [67716138, 96851779], [12410194, 22800068], [36999502, 78993013], [18803905, 78219723], [53397044, 31172565], [47725063, 66178999], [99605423, 12752033], [74800753, 92322202], [69061791, 92918927], [14337637, 59767030], [44859055, 14778624], [53728805, 78722829], [59954542, 75143678], [18717947, 35885168], [23100748, 65414832], [35915963, 31757911], [30498973, 78584450], [16085128, 98952150], [8640496, 29318623], [70209154, 72303661], [74307876, 93863036], [96049617, 98032462], [60127008, 39112785], [51553639, 8701734], [34112725, 24978968], [40798826, 35050493], [73819003, 65050046], [49291045, 10473408], [30875912, 40440056], [78623974, 13553941], [84807156, 55142234], [75707272, 31835875], [22271065, 99288888], [31163027, 26250101], [59580604, 37255755], [13116106, 75280889], [41706081, 94236836], [67964353, 69884682], [83322543, 68176837], [81707527, 51864292], [56474368, 98377693], [44624236, 37265998], [31704582, 52386028], [34865230, 21579424], [36998200, 37197883], [98551336, 74853836], [76943729, 5047208], [89684111, 71899558], [37936487, 54776593], [7457916, 61336718], [47940751, 93119594], [36329890, 55277714], [36179886, 43344113], [57771419, 98598233], [42757060, 24166791], [68540757, 84251426], [66584466, 46139693], [42174534, 33716381], [60458504, 14678214], [99283527, 50242373], [95433547, 91254202], [9960569, 1983696], [78827735, 84898979], [9622332, 5785786], [7332155, 34145675], [98098132, 60856731], [18710017, 25779107], [60436600, 48530861], [46279543, 26297209], [80339946, 49678214], [25369140, 32268928], [48381667, 47955579], [95526850, 50247437], [65926914, 64462408], [17951878, 11183890], [9498470, 79893715], [31477310, 71892156], [67731231, 35733756], [78376593, 14316856], [70753295, 12314656], [53098091, 36270961], [7596164, 36978024], [88563851, 92965586], [49562195, 13030804], [81579504, 587803], [39245981, 40742712], [26653963, 87050984], [32298387, 54625416], [90758309, 31291352], [93029819, 13327852], [4164853, 90804571], [6025644, 42147285], [51447383, 80719770], [52541432, 93075057], [38312053, 94463688], [19260828, 98039867], [70800285, 30021763], [56179677, 17050678], [54860425, 62402865], [81332662, 42828139], [92397293, 60961517], [7378193, 52260928], [37612474, 54906534], [4099097, 8798853], [22584319, 30656160], [61277311, 76468118], [50925331, 76951809], [12235596, 6934274], [86987348, 15531953], [79493455, 85345825], [6260337, 79025075], [46394372, 85379011], [75987943, 17069512], [26272983, 19458498], [98432065, 25631761], [45279929, 99255648], [85378072, 11482927], [29553415, 58437362], [69128341, 95965688], [57910425, 27564774], [18286759, 53819483], [76855171, 62307496], [36532759, 72966334], [47490545, 44582155], [90920166, 5775822], [23813781, 90588355], [99080351, 52747700], [72052910, 87192784], [35025213, 25904371], [12151601, 84994197], [17066683, 46728885], [65747507, 76669229], [38956905, 10055159], [64255242, 40483982], [70273426, 59303551], [24909511, 97210893], [19753200, 82616554], [84670248, 28281776], [91521103, 51387258], [62246517, 17940514], [35417607, 25017075], [23599362, 1005807], [28279778, 75962181], [16341081, 42737994], [93137672, 19979100], [46882623, 79360562], [82173716, 95866317], [73722207, 2394252], [20385692, 44757992], [4127868, 58399815], [81764857, 53542891], [85409216, 34661079], [57417778, 29081690], [79392520, 26541220], [72035290, 12084850], [41571480, 42553259], [66340085, 81138543], [23824674, 78479756], [47695935, 46378934], [85274367, 95981872], [51681214, 55584106], [12814116, 97319937], [46065656, 92416224], [37834810, 69068634], [1690124, 26590992], [54730942, 89757323], [99553422, 87712016], [45452522, 5306997], [91692686, 5203334], [85804648, 40259703], [73387856, 74646423], [33044595, 26766322], [13802680, 2524424], [64215365, 88937359], [36210755, 96160942], [34633546, 46215439], [40635298, 5345448], [70579248, 71645917], [708714, 17572815], [67815470, 53431157], [59809183, 37495031], [34616393, 63312123], [26846857, 20609756], [7199360, 32536106], [28600318, 77242271], [38202178, 35272035], [54869649, 35424489], [87436794, 2518352], [12554883, 76003825], [51450227, 70522928], [48567130, 10399781], [67020250, 9132565], [18106046, 1509399], [4449382, 40818506], [84942494, 20118944], [48546578, 46360536], [75890889, 1888870], [8848920, 42696131], [34827221, 11153439], [4479345, 2294163], [58931746, 21813087], [96368383, 69635015], [3974339, 85930408], [845480, 60162164], [33147518, 23709023], [1297943, 38978778], [60296235, 51615962], [19414481, 2285382], [35309180, 67887539], [91185716, 63294145], [48158143, 69985336], [94289657, 75556501], [17307520, 63286950], [33053886, 43862109], [93054413, 88919684], [2288331, 66989364], [21970707, 80504093], [43999213, 51139789], [54825024, 18742680], [63071175, 89835585], [6787948, 48361718], [67799157, 50472403], [5542696, 13836832], [65891696, 661252], [99244706, 89372244], [30390063, 38799069], [28046263, 12548429], [63638266, 23826417], [90553800, 36757687], [77897374, 14585902], [60167442, 49120916], [92282998, 81144308], [2937989, 4928622], [82839022, 71079793], [93371977, 99312565], [27499987, 56916014], [45567561, 97358622], [19710024, 19687648], [72086178, 65217346], [94607733, 12514312], [92347613, 8101693], [6449533, 32320822], [39425034, 35272906], [1373258, 43571738], [26697787, 95513504], [88344702, 30816555], [52482085, 54057230], [34295336, 48145898], [59104667, 7949605], [12617387, 61373538], [25379783, 35803872], [46415839, 9076392], [37031947, 22688020], [14669973, 86812984], [22937953, 49189716], [30301929, 16321575], [55430514, 8378188], [26494029, 92252029], [27896224, 48647785], [47521484, 71258186], [7691993, 5890382], [88759279, 12115653], [72839107, 90108561], [59010105, 67682273], [74289374, 92539658], [99967812, 87382119], [62112898, 11822288], [74853125, 99105664], [39688158, 51930140], [62192220, 7971627], [95641813, 39977127], [85285156, 45534952], [96122804, 59637740], [16985338, 99368320], [45833877, 65783031], [66155201, 43723498], [78958519, 63983213], [41440354, 95292762], [46611739, 11632212], [21321869, 13922230], [70394964, 43590951], [97223148, 80711350], [88536505, 83951508], [92128485, 32465080], [34088910, 93533875], [40739997, 63749886], [53928901, 30147447], [58091870, 2929760], [97127933, 35405239], [49730386, 77742943], [88691459, 9215846], [54160456, 28181760], [4941692, 94624446], [87868977, 51521938], [19501099, 5454039], [84071573, 4043177], [43696774, 2055727], [96938275, 72781633], [78651062, 13114635], [65016806, 82986969], [80454904, 12738653], [5187597, 20044350], [33211447, 19235924], [25994755, 59665264], [15495642, 32544307], [77488971, 66474054], [80949461, 16239320], [34975359, 86268209], [9749891, 2620485], [71081870, 96811423], [63909926, 11400884], [27005795, 62543589], [16635425, 94142053], [79819881, 17268521], [52652872, 31157192], [96513662, 18148920], [87518011, 17025738], [68911658, 24615238], [76574509, 89546740], [62171732, 96221999], [79497409, 98951089], [57497497, 52192116], [37367750, 68455942], [49397393, 89055957], [1075446, 32290194], [80439367, 66644672], [70493581, 93635452], [34865333, 33718407], [38398898, 85078985], [22202878, 60149372], [3114745, 74152674], [78190644, 26680925], [9085098, 1253800], [20419702, 34779858], [9865632, 10069957], [81375251, 87488051], [86215087, 3707435], [82266484, 50129771], [18297694, 82919959], [99301936, 73545409], [85594317, 33962165], [83727698, 84608584], [73118904, 1134552], [12575904, 39727199], [37372252, 5550125], [67972400, 4501997], [86365634, 81791536], [75720870, 84561259], [67935256, 90084963], [63400595, 74079572], [77991314, 20178147], [77625077, 9041943], [52883315, 10621401], [29246024, 26851105], [25428529, 81938009], [92888837, 66427910], [70824532, 40949633], [14213674, 37525832], [52827340, 86735023], [56979057, 62581248], [25008335, 46979139], [94501841, 37550038], [29855962, 3236993], [10249360, 53961829], [72517231, 36109853], [30781947, 28585947], [75103566, 69562292], [38009833, 69475337], [49745276, 19354950], [26653811, 58331004], [54523477, 45673895], [77781033, 70461965], [73179158, 10089562], [48526504, 6055679], [60488030, 63560812], [73407663, 26337259], [90021296, 31128652], [59597630, 43795691], [91015537, 69849567], [33720382, 41879342], [78935171, 64641229], [45427305, 17342793], [54557951, 92104481], [90371043, 7753113], [41197892, 2279417], [72507168, 81216848], [26171634, 3301939], [23742553, 46878393], [79119795, 28825597], [98067432, 9166439], [96359118, 56299236], [94164044, 57101560], [19266148, 91351794], [39441503, 34219469], [40938371, 61333885], [99257051, 19477231], [98376506, 73792798], [57092033, 77537524], [1409833, 61443856], [3292342, 71106972], [39870415, 82404035], [93429695, 17870622], [70283538, 17343994], [76333386, 38495055], [32981513, 49182387], [33570700, 78024352], [61477932, 7693439], [68333862, 20657802], [52826154, 21505590], [71937881, 94629136], [31276979, 3759806], [26967558, 33004018], [53001786, 31069013], [95197522, 16821649], [70242541, 18973872], [55332232, 27526193], [30010696, 71044160], [55549301, 83358643], [19808287, 76295470], [86005603, 64144372], [49663900, 92496706], [11920546, 59859281], [10344168, 94165659], [28403052, 29538504], [7149033, 17856409], [98532378, 3686720], [76299519, 71147654], [2179711, 19470798], [85881339, 20609801], [65060945, 63336348], [67288946, 11199589], [42009169, 90424405], [3464626, 48694102], [47187995, 95039447], [61838639, 22877940], [2764314, 87802114], [32356853, 95126703], [95995922, 47379527], [50000241, 12818832], [92178114, 55187596], [61962786, 17730187], [21235216, 30868861], [98596224, 21989037], [95617063, 37675333], [56542850, 56142987], [30382853, 28772464], [16975533, 83982513], [95620692, 94482060], [65386948, 79817365], [98314554, 94955103], [24822566, 46372179], [66330207, 98296014], [53368399, 14808042], [65371638, 66188375], [10335414, 7274511], [35805537, 51293131], [98146170, 21127084], [59635300, 60053024], [2118228, 26112338], [25560723, 28980830], [31363094, 12323723], [27976028, 96892505], [36432485, 22329505], [87311110, 12235324], [90498867, 20319972], [3467788, 7568745], [62726970, 6169145], [55503680, 87414360], [40198503, 48461787], [87732327, 38043225], [27272093, 57917611], [90949347, 7113548], [75794182, 46996272], [77070892, 26205961], [68301411, 45435820], [4977963, 95846760], [15608693, 25536637], [57652293, 20905544], [83121747, 9917124], [50053639, 79582625], [88966268, 89711306], [87333022, 89879885], [17392924, 47591454], [29232393, 38231070], [31336097, 87875607], [73238669, 71669360], [93595192, 66008069], [67913313, 73405750], [72802698, 49167376], [70782076, 26317242], [11235225, 92330278], [92695226, 25571791], [3204510, 87440099], [79635663, 28668810], [26682293, 62577698], [63323261, 54677075], [1715620, 57423623], [96752531, 67397864], [84066044, 1623479], [35851211, 63270042], [34315498, 22975462], [29315062, 41123006], [78193511, 39413792], [72309342, 10677013], [48828052, 11700212], [4104666, 50123967], [46487683, 60310000], [87709297, 91831900], [19391385, 85794645], [20178884, 42168517], [13134431, 78295556], [38510768, 83348750], [12423969, 40554556], [30956372, 21395260], [58484719, 33924213], [93286827, 50923357], [41265875, 1769938], [22115985, 20983162], [69627914, 36515050], [87631552, 96763770], [74936387, 73877110], [48092078, 16287568], [43412812, 47599649], [81800660, 32641394], [84616216, 27302694], [31447052, 97368595], [31462261, 32268056], [84854594, 18372502], [78824997, 66467931], [51470684, 71289223], [9555859, 20347965], [11310051, 71716488], [67987001, 10179332], [50936870, 79272224], [65291301, 9983926], [83490923, 73304534], [48341258, 56735012], [42967595, 2679548], [46634688, 66800444], [74664038, 40134162], [26375179, 67937094], [59807962, 66104554], [60442860, 62027700], [70599069, 42892430], [19721251, 93774532], [55278157, 31503732], [39670167, 56405657], [98653686, 75023430], [92785137, 604009], [25494445, 24918726], [31966772, 93935561], [14573022, 41408341], [15219739, 15856448], [10281935, 23073885], [24001265, 49527219], [38806545, 33784356], [10344764, 84361254], [58264560, 31953444], [25440053, 6799346], [79920207, 76498020], [12619123, 72765618], [86658279, 23223613], [15531715, 54109595], [28074067, 91174105], [40952230, 92408578], [35533968, 27397056], [45576856, 91415936], [59404906, 52851696], [4471044, 37059837], [61598215, 94841116], [67634955, 16433527], [37188066, 22952289], [25769520, 85641164], [44790187, 81496162], [91765909, 12398530], [85317373, 35397377], [44253114, 61357376], [18210017, 77228173], [15579002, 49423527], [45074289, 83101960], [31420166, 25069826], [52224528, 33776126], [33971757, 31487438], [82915937, 40117968], [56679828, 21123867], [81425477, 81274844], [53141220, 62241000], [554775, 89554515], [52891160, 98468499], [53169337, 73388206], [40158019, 7498619], [53198457, 86551372], [70911007, 77083588], [49922287, 83908234], [9083476, 31944474], [23151172, 43682942], [92329061, 96018693], [66376924, 79018792], [49117534, 75951228], [51836732, 4710537], [17165834, 61608605], [58729441, 99305784], [57773915, 67742570], [61684363, 92210286], [13434191, 58637740], [2257411, 46282081], [344120, 4202540], [99723457, 20047385], [82520818, 51654436], [27659098, 27490264], [18439273, 77419255], [27823944, 85371408], [62805367, 83709073], [25826080, 92740637], [19255994, 16264471], [74320709, 32489779], [18169674, 34039822], [48814756, 10505331], [62334247, 9340153], [18936657, 82566981], [64565115, 60501614], [61599479, 60725643], [87472106, 26257510], [2636813, 35020589], [72751751, 27395817], [94941008, 92178850], [43892242, 53879648], [72280410, 48341321], [29614115, 51208161], [37663637, 58083900], [15353139, 95483435], [95520073, 15923325], [14581031, 57046824], [42672765, 2151298], [82602934, 70331743], [32652792, 97575944], [13855668, 96880183], [63374928, 49764617], [73501251, 44019537], [15381223, 53229757], [77467547, 56361418], [4013509, 71842092], [75826229, 83197273], [71726048, 19749729], [11168476, 87407141], [46380028, 83734849], [61766529, 31689092], [85901825, 58182814], [82808377, 98239519], [11590657, 12816564], [24463040, 42193043], [75032277, 46224585], [22209830, 37249798], [11372511, 82973778], [34589467, 20683137], [22441355, 96724262], [58941353, 17919760], [67159164, 35820491], [41304110, 27984646], [74314725, 53868747], [13437620, 50589678], [25807539, 21628955], [28560327, 78572157], [94981019, 31456542], [5554164, 40972929], [19239742, 18188206], [39950122, 96686208], [62585281, 57418229], [52735084, 46030838], [3323484, 90074502], [78216724, 87888795], [82990337, 68578857], [12596368, 99659481], [85565730, 31853869], [20950324, 12065332], [13490315, 41748765], [97552235, 52797267], [81717965, 10540657], [69736027, 45919192], [7455644, 24927364], [24013606, 28948148], [40110040, 29325933], [5458431, 14012955], [37533217, 26690140], [50756041, 46416246], [65308835, 7206775], [42429272, 19045279], [37880113, 72665942], [60161068, 68373681], [45281218, 67417036], [6130897, 54384372], [2918303, 13423922], [42884471, 63637290], [66943226, 80465309], [69873660, 31571811], [95814451, 64474522], [4600960, 11347773], [85375084, 71140608], [11871831, 95876177], [95821877, 64352377], [84297104, 17935451], [14349536, 54447728], [56468223, 34697537], [69442328, 13341418], [93655388, 57829262], [15163629, 77004274], [68906630, 52812879], [22061149, 70524761], [4155382, 60553141], [9047980, 25649860], [71009344, 12224041], [84477162, 13303441], [43138522, 57887638], [19567955, 32342069], [8054674, 23129879], [74154812, 57003], [2221558, 68131080], [1857724, 28714214], [76588443, 54058296], [42470857, 51463268], [22310545, 35322776], [76488004, 95186144], [90216839, 44719353], [13960600, 25561958], [23513378, 45461301], [22637500, 18615648], [57945304, 49973981], [73019900, 58833171], [84869152, 65570260], [81866101, 89450692], [51871605, 90795290], [5956820, 92525331], [46472633, 21083370], [42904672, 23470686], [23650541, 48379353], [75270730, 51925926], [93154380, 9970320], [58266131, 24180816], [45816457, 21548820], [57045760, 63891748], [58150988, 57012312], [7856411, 87359942], [24981913, 8723323], [67444077, 81328091], [4106455, 33971472], [85962151, 32768997], [58232582, 12976656], [57004019, 46803590], [10585874, 61534602], [70535946, 85899973], [64287333, 83543718], [36796968, 64485518], [84222885, 90899491], [32712978, 60394567], [2628137, 34742853], [61636956, 28622951], [50314912, 92980089], [72485036, 21866362], [21634276, 54475837], [59060573, 15083838], [91570468, 32263444], [66263506, 83648687], [88480393, 43408671], [59930626, 48460786], [88963001, 87176475], [11858309, 62399348], [72270384, 59734653], [38401197, 87499799], [39527749, 6106560], [75128340, 68214552], [13035285, 66380319], [85457400, 54672749], [66146598, 13220021], [60171510, 13858472], [84325721, 89144803], [93940663, 60792060], [76443024, 8907358], [30818766, 50937177], [14258820, 59717241], [72588867, 25034027], [58566186, 81202223], [58215782, 55875208], [89588352, 60377629], [34278140, 17172527], [25099738, 79742333], [37817026, 25682206], [54109985, 15058772], [43354731, 53616268], [30500382, 27274952], [40910251, 38536064], [47574869, 19967802], [20333447, 57599750], [42174991, 89959340], [89411188, 65685584], [49310702, 68677848], [55895168, 13623765], [75893121, 68824763], [48019977, 4466237], [33383790, 87609890], [47851182, 86683672], [24614013, 99593498], [21137051, 87840568], [93623776, 9898417], [28118533, 91533512], [63373105, 64962407], [92961313, 30441621], [86399930, 89183309], [69070098, 6055284], [10734550, 46661415], [64342316, 17436545], [51239510, 52172845], [96954888, 89739971], [39576698, 16606314], [59344708, 76206979], [77293537, 82778374], [35927657, 87039121], [36185354, 37330368], [33732214, 42893357], [23208574, 7887347], [39452237, 73925146], [57079469, 23196310], [43210076, 78038955], [41989264, 76975481], [25436058, 86331069], [9876180, 93056413], [6925882, 41688647], [93426877, 3524639], [35783564, 94992681], [90994036, 60491668], [22774473, 4309126], [56969871, 69575604], [28837258, 57175561], [5504928, 87696527], [86738495, 88253398], [25130992, 38644623], [46168453, 82249680], [76144592, 12357496], [97728727, 54812567], [88976408, 92159886], [45240731, 59191417], [11118570, 42331461], [29899769, 40684420], [36827385, 12396146], [11975738, 86419527], [29131036, 36396826], [25303861, 86182771], [34153282, 78505619], [76449116, 75473929], [41108811, 12986311], [37208424, 7389507], [22368079, 39583130], [15124158, 70066092], [33343066, 66666403], [70128698, 32719894], [64826332, 54481863], [7869864, 61818884], [2580616, 61059184], [71841634, 61731471], [84879493, 73714773], [11384229, 51017759], [99108150, 10230712], [73729578, 11479495], [96772940, 13262459], [8207279, 82675184], [29927314, 25617341], [58684741, 40714075], [18533844, 73688139], [17684075, 80707498], [11853049, 37934919], [84420282, 25312416], [8150731, 92413815], [18065968, 70530567], [99262294, 96288826], [56275818, 71599114], [97969591, 99780965], [58586751, 79299490], [44946821, 4396500], [88768854, 28399161], [6012966, 31379770], [79014198, 20564833], [3480513, 58081917], [45235752, 33516449], [23141316, 50121524], [32099450, 89802741], [80918951, 19686047], [32241901, 23752701], [32454498, 46849057], [95646818, 3786223], [5398000, 98502779], [45757667, 17819240], [85710762, 42799990], [85180222, 35923067], [69646784, 18425793], [83842797, 43834707], [2312479, 18238943], [41147896, 27612205], [3976066, 92091210], [832158, 83327542], [77361758, 75343068], [53144441, 27157670], [98364757, 7644332], [91725072, 7667768], [89322309, 89401239], [43912157, 18617485], [54351257, 64419988], [4762825, 33007496], [11465844, 40364102], [85282797, 35701432], [59344971, 87529115], [76220385, 13783100], [86661665, 10976308], [83132530, 9002785], [72998520, 5975948], [4134041, 92060371], [57214921, 41413843], [49769701, 54773223], [78237911, 14171131], [6413778, 5144696], [11910856, 1439256], [37580752, 90824566], [89440493, 70924521], [43143918, 54447145], [35315512, 84465347], [55109133, 96066834], [47556669, 92768175], [99739995, 89053979], [7399430, 36723566], [90065601, 46233178], [9265336, 76524970], [19256724, 10775233], [54956085, 65169333], [52610490, 37093876], [15067358, 54045895], [35110986, 76956838], [78365274, 79825525], [94175927, 30225193], [67663745, 51526702], [89846696, 86126228], [95240436, 75941611], [83814901, 23616863], [31483330, 78798597], [130544, 72615619], [40740206, 69229084], [25817160, 33712573], [19196256, 73438352], [62493229, 14280515], [42951381, 7551333], [37694863, 43443554], [87360004, 90220840], [53082645, 66657243], [71095655, 30624735], [80210748, 18025882], [81221673, 97546268], [47015267, 79543872], [57456492, 78623277], [50780252, 81512266], [20835257, 70806136], [28322333, 62542853], [19319879, 76497789], [39398412, 81466702], [55212507, 64096115], [21084522, 5155706], [4795632, 38613497], [1825626, 5913735], [45845843, 87138610], [23242102, 82489259], [31263354, 39352389], [3266707, 62395813], [59364782, 21660163], [49316012, 54107278], [93803650, 81989314], [1553351, 69336741], [99801315, 45297404], [50083933, 46226717], [78256660, 63852458], [53187265, 87401417], [3227034, 85996700], [6592658, 92919589], [27043573, 56956150], [69803659, 17373648], [23336684, 45846224], [86887959, 86265577], [53707900, 16077283], [55300797, 68729682], [77265476, 20284677], [66280767, 77778044], [31526669, 50344439], [27100329, 66977218], [53040411, 40174032], [6964028, 39998415], [46593479, 32857460], [18839035, 55321127], [47729920, 31896945], [87866073, 68977002], [48180060, 18400447], [48530061, 67911619], [94695320, 59157950], [20599926, 46383393], [59570571, 55023577], [18077351, 19651239], [35769880, 83506422], [91619453, 62688229], [40116616, 95830367], [79164345, 54436025], [94998719, 13028082], [16026678, 23025851], [76914597, 61157932], [12977950, 763376], [29068754, 8195732], [22721859, 1800777], [19631969, 2363471], [26535211, 8712484], [54243691, 99526646], [14906314, 51109182], [64642478, 66678103], [96324216, 94034339], [75521453, 3699526], [13723563, 70737887], [57493960, 95350961], [78218644, 96916657], [37903346, 76385548], [79317676, 54449559], [13154748, 73950800], [73596004, 73645611], [50350952, 98367310], [87174727, 57104068], [76601951, 86396936], [44899562, 45454812], [33453255, 86185231], [13099832, 47379198], [67443222, 95577436], [51502467, 42351982], [89148202, 61030080], [81832384, 22311577], [70526182, 48677353], [27294978, 82357990], [18558084, 86272921], [72407572, 49429669], [11164927, 47593905], [7305839, 86941382], [41753743, 57896281], [63101625, 66374459], [27158801, 17134136], [37751956, 55486536], [69916524, 11787717], [5436838, 54949642], [69519929, 68679351], [93220815, 39687007], [73483811, 43413410], [97378481, 10835848], [22404693, 43438597], [65679634, 88936568], [72955238, 49493854], [17331595, 84251933], [39131826, 21825102], [40393347, 46380516], [24662959, 58764786], [59414122, 53713131], [30417506, 25033280], [23847390, 86059079], [29994963, 6302029], [91433154, 90904355], [16888763, 62204860], [64350169, 34254912], [42009331, 78416761], [2850569, 96752031], [47261393, 82715735], [10772082, 25422962], [64817314, 18275897], [48411477, 69584300], [18123859, 94791910], [11870905, 66110064], [28856980, 63406794], [14749328, 81323180], [83474709, 85398410], [81090732, 39370835], [7616965, 27000335], [21463444, 71567111], [56454092, 43344843], [49019518, 7517439], [32725711, 58767966], [72512788, 62869481], [47175925, 11060324], [14087296, 72950022], [8277850, 29949008], [80854647, 23135050], [69903347, 12481228], [13906426, 23105355], [86558639, 37218224], [42086665, 82423140], [14773755, 58852247], [17122170, 12919103], [3097616, 40597464], [55550197, 81415643], [68528767, 50908411], [35482949, 67418223], [95181657, 2885595], [44214468, 16823860], [56897489, 84356459], [33544424, 16220848], [20547810, 52039262], [57200620, 90314398], [88050414, 68125774], [58628213, 76818369], [6715412, 49063473], [67488798, 30138781], [64107633, 27860350], [25278434, 95644165], [57464824, 48897593], [50923409, 60741666], [59831708, 76252953], [79205026, 14473790], [88236718, 72272543], [79614398, 71292086], [19519115, 9776472], [5413074, 31026371], [28876445, 52148332], [98028635, 36622646], [19803875, 39831740], [3424707, 92194947], [46415228, 70728355], [25362711, 4596543], [23635903, 16403607], [76042663, 67622786], [54371063, 20294184], [83465455, 68715266], [96989063, 24425772], [47646526, 59504426], [91094358, 95377683], [19012787, 91534489], [90209236, 60865385], [61867941, 43515831], [48144172, 5977697], [72640090, 75868538], [39809614, 77905119], [41206406, 1698735], [79766174, 96722647], [79111033, 53667331], [50610061, 26683615], [46296442, 11894536], [58501577, 86708501], [43011231, 35098043], [13398630, 91873841], [5221249, 33600207], [73617541, 16317840], [70161945, 21112444], [97860426, 10910066], [38023776, 77122716], [93718832, 2730324], [79139476, 74505448], [87143706, 19895796], [9964908, 42075279], [77403948, 1213607], [91552816, 7164302], [58401638, 9676347], [70738676, 41091883], [14077333, 95785189], [94523023, 48764833], [24053580, 63402838], [10841343, 46725075], [19455550, 19069632], [1282457, 9697031], [90021010, 49685716], [61910199, 97671667], [19276678, 48165848], [46272667, 15629470], [25314522, 74544094], [11550455, 93587206], [63113569, 1781341], [4619754, 19160436], [64278336, 75353596], [78004223, 80215007], [33877193, 93073949], [33091887, 90768889], [93980570, 80017226], [22581446, 74961584], [28880333, 92111352], [62410714, 23379521], [36997570, 34121250], [8955840, 21648565], [26042310, 91322431], [22938968, 57492491], [63483321, 62011787], [61072580, 56181904], [98496099, 58211834], [99459309, 69541736], [24369500, 81966867], [71044004, 9685189], [40312583, 19503093], [67519524, 86038171], [21700255, 42565878], [4822593, 25116313], [89952182, 43968384], [97773428, 47634075], [96935362, 35116955], [4661800, 38800872], [6241888, 13146348], [75736674, 3457914], [88195896, 58893355], [92208537, 82185823], [53146187, 27919553], [43141507, 67476528], [180674, 35393793], [16339544, 44160142], [2997533, 21811473], [78994679, 65930007], [35881857, 39329331], [1741836, 66894408], [11924790, 54948194], [45445470, 34069789], [11327001, 38522520], [89689590, 79079990], [43856181, 13896426], [64379673, 25229002], [86275417, 64654998], [14512541, 96303327], [10740051, 44810744], [76991349, 45583226], [3604768, 69169808], [37450844, 91687932], [1330273, 36630785], [28205921, 72001988], [34691739, 51371003], [5446582, 23429678], [92074072, 67355060], [71658763, 13349419], [8738755, 62040985], [36128896, 45555402], [24925259, 65790165], [55088542, 71137268], [87696748, 94181126], [99110127, 22321673], [82146140, 95368395], [67245102, 21232244], [80770502, 98075121], [28840514, 10197497], [37549291, 71254377], [45507425, 45807070], [58612669, 84698929], [60334630, 79461901], [22056200, 74116934], [54720431, 99931867], [21231699, 29014781], [30817560, 93065331], [18952597, 18532546], [69304276, 63602621], [15712696, 53599532], [43225229, 28396020], [5910248, 59272855], [52378227, 45471521], [21527117, 64335763], [57331263, 72964716], [63153299, 35225355], [51626950, 26252429], [76216465, 65482035], [70879849, 5727226], [1336066, 52771477], [81618710, 8326759], [50302960, 72097088], [92646380, 96472422], [90657671, 48938992], [13035234, 39001792], [23583850, 16408179], [15265971, 692430], [85899527, 34270681], [35141976, 8326776], [91290893, 86951404], [60281810, 72123890], [21286173, 11939828], [26608107, 80794965], [35554835, 59974932], [36544701, 38534561], [90435767, 99454983], [9551388, 7833555], [86370713, 89797785], [4289203, 16634809], [49473294, 5084892], [89212208, 65466382], [2254601, 5589548], [93566115, 95337392], [20614676, 82926737], [25755414, 20339722], [10510785, 63102726], [92667272, 53448143], [14344464, 72170003], [76114493, 83462070], [44579510, 91577412], [28035878, 93256058], [95399547, 2607390], [73722215, 94618928], [65416761, 5851139], [69992497, 39033818], [83895725, 25924313], [91107367, 38255537], [3903602, 68508162], [87428856, 17319217], [99116325, 21169056], [73948634, 14708244], [77279967, 65980561], [1957232, 96333161], [24367220, 29792829], [10799552, 24652233], [44132586, 17276214], [69089231, 3441048], [29861117, 71060565], [8699145, 46892106], [49909749, 6310951], [38265460, 23694195], [35542766, 86281531], [87592928, 756227], [29687650, 19736988], [47962263, 27909513], [48817876, 8508722], [81713403, 37266827], [13077877, 42546218], [93068482, 37894649], [59022265, 40560249], [16228430, 13719758], [74232236, 43677558], [75532999, 29430041], [66527957, 25582288], [93056779, 75511204], [88340567, 39270765], [170864, 99136312], [70234229, 37939975], [13857132, 8063013], [67059534, 14119751], [55072057, 82424573], [85444302, 64485507], [31803194, 90772882], [39939998, 71205766], [24637706, 60444398], [44251798, 92424074], [24041225, 49780437], [84799154, 31378121], [22892862, 58585046], [15811888, 48017201], [37911971, 87754105], [24819603, 26299554], [55969911, 49256368], [4917952, 78784119], [30377897, 21606970], [51701127, 60885791], [29572429, 95077851], [65293718, 50505843], [23351209, 57686378], [45583688, 42048852], [1587813, 17025862], [75194601, 12777664], [67332089, 37877359], [28622291, 44723606], [9156551, 62939027], [35792356, 77029361], [11407562, 25873690], [6420150, 72355139], [13297199, 33541597], [58056643, 27154845], [12590269, 96558296], [52093394, 18671434], [58697616, 33986103], [11606098, 94544007], [88899531, 42323141], [66592942, 84998681], [36887791, 49179065], [5985191, 30368190], [64341536, 46760569], [89322456, 99449306], [884576, 87429709], [83445806, 81965003], [64422048, 96512630], [43317128, 16583470], [32707645, 92992644], [18166914, 90745283], [55331658, 86171351], [47327497, 99694133], [20945910, 934398], [20089628, 58212872], [28091615, 98548916], [30886579, 78122484], [44671179, 26099025], [29230510, 43545634], [83052600, 80580922], [44109598, 52436121], [93666425, 98680907], [33916499, 79030218], [56644894, 78033342], [74316567, 16174286], [276397, 37749085], [33878805, 74739156], [93509766, 33161179], [24849470, 18107809], [78344425, 21232754], [92484198, 66659672], [31266952, 36037461], [81234116, 31989880], [19306540, 31250751], [40153438, 47364411], [2123785, 4505798], [1738656, 57692199], [47655460, 21480587], [11279545, 37549940], [91705234, 40950408], [88911280, 44863632], [66429588, 55002554], [93486006, 94558185], [80689820, 60413450], [8713559, 91224034], [6982490, 80717432], [59296646, 97420811], [54856599, 99679497], [78716235, 98623946], [18747576, 94737801], [54179641, 19877009], [22757653, 22280352], [65559848, 53110392], [9311833, 87961702], [61539100, 62918930], [75074504, 65283888], [53216321, 28313121], [8632847, 58446292], [86191881, 91332293], [66411407, 83908813], [97293931, 56538953], [36747973, 92538240], [82502022, 88580831], [44623105, 12937532], [33148315, 63152564], [1413182, 62906321], [34543984, 1392156], [6084158, 43932441], [81462693, 56489302], [54572952, 80853338], [72482925, 43756874], [59398246, 68700579], [14720683, 71221206], [44969164, 35905574], [20693968, 15191123], [8075520, 43233579], [57229742, 43978054], [67947868, 92340007], [1008682, 75892015], [3673136, 86745232], [67289360, 83292787], [94994056, 96908237], [40396008, 80732860], [18105425, 36769302], [23777326, 65890635], [89009831, 79207518], [27509774, 60378092], [36661989, 65855763], [52642370, 76882038], [85335798, 21326558], [43501692, 35734903], [62303751, 4480001], [65425152, 74081187], [25401803, 39413172], [60407808, 85281898], [35240596, 90495859], [26307505, 48762431], [35140924, 42396026], [16775902, 96110845], [62695027, 91640781], [76124127, 16248945], [96130090, 79060555], [29459806, 9176410], [18536494, 55166074], [78989258, 48275500], [98420556, 11173939], [46962392, 66420201], [81765879, 29090333], [49062555, 30259221], [10964691, 34809956], [2099901, 27974606], [31931821, 3769265], [89241902, 10237521], [31506749, 37605765], [30956837, 88933966], [49554572, 54162616], [77967891, 63780256], [1120244, 5266541], [78053347, 89671695], [59154468, 29091376], [15711601, 21100266], [43216852, 11336612], [95171923, 67499762], [91808228, 17835101], [8685624, 14079125], [97053131, 78200303], [37524361, 35250437], [14596852, 90911214], [45718458, 52268184], [53697584, 41751241], [88595408, 74364745], [67139711, 78557909], [12627850, 55421773], [47170736, 30412911], [78895163, 54284089], [90836675, 62449427], [94259151, 59920450], [8624991, 73062621], [97547449, 43260186], [6007233, 5169883], [77553243, 60452485], [5458140, 50577069], [72805456, 79328948], [4763465, 87124353], [89242742, 20309176], [30870121, 33329833], [44778590, 7186900], [37939757, 35321523], [43310753, 72223112], [30295056, 1679400], [43615546, 13578008], [43560722, 67188752], [20699704, 70900584], [76279483, 21523666], [5411299, 49892063], [52913883, 49511093], [42608212, 7779803], [16545797, 20643862], [76544681, 38668399], [20014782, 26632790], [97057242, 33537450], [69006884, 52802046], [72150565, 40498491], [71553192, 46176475], [45064787, 33201833], [91948517, 37703030], [11712690, 75551513], [28181236, 49057195], [31176833, 44121503], [50899300, 66279435], [81676339, 56224842], [32389763, 4654707], [87842245, 32997907], [40430898, 31312340], [33569369, 70623690], [8897034, 4219361], [51322844, 1739070], [73659298, 25206341], [17282610, 7480199], [83317784, 16584947], [4102834, 30929580], [99873169, 61699945], [5636045, 38479210], [44309322, 19925314], [34414606, 73664317], [80492193, 56100123], [81296851, 76002838], [15217016, 87323622], [22444157, 25691631], [60926916, 75956194], [80690241, 77416194], [34501429, 13075615], [21273490, 83220272], [81237817, 11098623], [89221372, 76262671], [20850510, 82888349], [95152509, 89325201], [35732654, 38078127], [40836764, 88383011], [67389825, 85131655], [75405915, 30863867], [50320073, 78827797], [6573025, 83316388], [76700714, 72651804], [55395650, 68759297], [33111829, 21205523], [41407197, 62575552], [86456006, 30351641], [26581139, 44625651], [26365837, 32819306], [88174734, 85813119], [48616846, 88039845], [98514354, 58120540], [24640225, 40758588], [27354490, 69556342], [73837716, 43012948], [47018386, 99772348], [14935354, 90207416], [31841726, 25439498], [11387400, 99975525], [22332212, 66084917], [2468089, 98767396], [22905109, 76211798], [54306156, 4607176], [53691029, 62478135], [43716862, 99389103], [39344469, 2357358], [41294427, 93406179], [78386284, 16938954], [29356742, 83132244], [20712284, 41357945], [99216438, 26920204], [54222198, 81580169], [451362, 47024300], [43374519, 6430380], [88710097, 6659480], [12190958, 88542610], [55737515, 55320026], [78052066, 19505548], [32159579, 22434923], [74034312, 36481941], [94817059, 33357540], [15735709, 6168807], [40883027, 3297899], [56181181, 31590882], [12524259, 94457274], [51084067, 16404976], [7204081, 42729558], [64759083, 3556266], [4146585, 92285906], [1366706, 26507518], [77771183, 51106830], [92333817, 69253016], [73000737, 43545150], [30357140, 14342559], [44452150, 75704569], [75788407, 98528654], [58622148, 64132725], [35928461, 32492516], [36692747, 72632871], [82265939, 3899739], [72294138, 64304257], [49399859, 9444939], [29384557, 64321172], [93439399, 12372684], [85232450, 27369867], [46687632, 10906036], [65214235, 58640029], [21394479, 68461460], [44595584, 73920493], [23756371, 1496834], [60396646, 37645705], [42379992, 61975017], [87554758, 15144009], [47734355, 35623195], [18785281, 62702503], [14554043, 57971519], [7460379, 53595719], [31218836, 85937935], [49801204, 70821742], [50152174, 87641499], [65653549, 40699021], [68368929, 86584916], [72365052, 81273309], [34982686, 72853930], [17064352, 8154362], [95441309, 94094290], [46752732, 22301293], [29278119, 88208516], [76865047, 29013901], [82557663, 38244721], [37952472, 50733881], [82665876, 71587394], [66446011, 85645019], [14986007, 6584949], [9333428, 43092117], [72750233, 99124055], [22732695, 54613801], [57093042, 93002670], [4423283, 4736796], [37224887, 391343], [34398464, 8743815], [75960515, 43134937], [7311411, 10821119], [82463130, 95701043], [44136390, 57897453], [61594334, 45366422], [86298088, 38266272], [143234, 95954174], [24793100, 18659241], [79657150, 28846880], [48694973, 67663569], [73265494, 75265954], [94253040, 12353729], [52592250, 26060262], [42588522, 34646907], [65807675, 16850997], [86496081, 95121244], [97237637, 66163442], [5968092, 95290926], [44028524, 17903776], [68503139, 91927796], [10738004, 63016467], [94265495, 76577399], [94506043, 94795571], [44353564, 56448566], [92230862, 26443218], [63453431, 60477470], [74938944, 76144798], [81562714, 14542408], [30256418, 69633561], [31288740, 70389082], [55302044, 57798373], [47005505, 60840844], [84252602, 74694067], [85287219, 89758946], [42719604, 90560798], [34224587, 90265883], [23035219, 7366776], [55965013, 97847987], [2382365, 5616227], [38561484, 38049190], [47558471, 54442171], [63633067, 25633373], [20155206, 47127571], [80685011, 26083632], [97996202, 34159238], [13601273, 96142040], [98357616, 31947039], [88641136, 69873164], [11046784, 28658395], [37908974, 13950630], [8888960, 67054837], [18639265, 62623748], [78284883, 73067381], [72351077, 18286151], [64893249, 76506521], [23163685, 2018471], [5575499, 78209196], [26763355, 49278035], [82376120, 18228629], [91237448, 45287646], [78705298, 33916901], [52470917, 67472218], [70166790, 59596341], [3188836, 93056084], [10772031, 80734556], [4938283, 35290621], [46928390, 68935852], [11022426, 2810434], [77254924, 48489888], [21434507, 35664551], [3937055, 9316916], [68768226, 7342870], [79346568, 28660517], [46956459, 28926511], [92803221, 24760033], [68430246, 43256680], [53498462, 17927523], [53634473, 75309541], [61542288, 96386414], [87906085, 44089437], [99514843, 86423205], [6409338, 8322546], [41978974, 76807816], [69324904, 1665038], [92753195, 32095884], [47137562, 5174619], [90802182, 5614274], [14520916, 43358754], [78509264, 64933531], [54752707, 3612223], [85126895, 56186801], [52572618, 68764176], [40412938, 2529720], [79615126, 29665078], [63516370, 14507342], [72593426, 58828511], [96559495, 55503366], [35792479, 46948869], [17398888, 18188112], [99543278, 33636578], [77670309, 44543327], [7463744, 61597915], [80245557, 78162273], [39749114, 40734656], [18937631, 75037042], [96800705, 85699181], [6103569, 20153603], [65429512, 88188465], [53880984, 3776864], [31903298, 49363779], [99443032, 78980618], [76652947, 83603730], [13465802, 78178535], [81095927, 60634068], [43318804, 94449777], [20175306, 26379751], [3499354, 42718784], [81729157, 99406579], [38322181, 8525137], [11585673, 67658899], [64603833, 6218994], [56604713, 51612398], [73310073, 70619751], [68627647, 8383110], [61276215, 54017174], [15489514, 15691476], [85002717, 27063897], [86634320, 78444567], [40531744, 49644811], [60809942, 28188767], [18987166, 48944003], [58960939, 77158454], [50248736, 38901539], [38131544, 77982927], [49984249, 12156334], [69175281, 66639521], [29363133, 25121137], [96302125, 12772294], [79875715, 84786016], [95123981, 59577035], [94325972, 3182675], [77846685, 85439980], [96744587, 61087453], [60804489, 91434914], [15987201, 33016118], [60269432, 63671292], [89174860, 30888595], [52057050, 28400515], [23997515, 7359696], [32760471, 57350268], [17797378, 38738750], [74726032, 6606680], [99798442, 35461887], [11475638, 22861714], [15615281, 89554749], [36430771, 33464390], [39297454, 1670309], [96169495, 90590304], [21435159, 4208224], [92535374, 7385340], [62906989, 59598959], [14967521, 16110307], [74997257, 29418122], [82673136, 69525517], [55797027, 73089275], [85858692, 19972712], [98471147, 72122595], [77706631, 86413622], [83714303, 52552375], [10308484, 11741024], [54477871, 23530749], [51225527, 56310766], [24633170, 89488343], [35189017, 90883299], [97748656, 98640761], [25892485, 51839589], [97815793, 66658404], [8918169, 89380051], [78434858, 98271347], [59628654, 98042866], [10019907, 87873758], [9210793, 3262365], [63090691, 10568217], [16599481, 33739559], [17040580, 59682819], [33454015, 59091600], [10596743, 75280747], [86166411, 87998038], [14049730, 97332862], [13622906, 87362319], [40904698, 59316580], [2135678, 86442645], [34703779, 7365279], [20283630, 46931135], [59906324, 6070000], [89711122, 32929586], [53997364, 69580053], [66826501, 5543668], [82781575, 79761936], [10925064, 23528499], [25192290, 75566787], [97162188, 50378723], [5511265, 48166019], [66876444, 56717248], [35592368, 65789716], [41418304, 12521701], [13775130, 59793238], [53490392, 25658202], [88512069, 52777113], [30390386, 41627319], [65155273, 1894848], [10764603, 5943230], [81548574, 14057461], [3272707, 27711137], [68041275, 90890012], [52820187, 24326065], [51236101, 99635804], [76048704, 12044038], [22636918, 40245791], [46376900, 83340341], [91795772, 6740119], [86328038, 66130542], [88269286, 59213804], [60992528, 76329881], [78453442, 32886404], [28653257, 35088280], [84987943, 8237137], [63057907, 15305228], [25588309, 96344732], [31436975, 36487793], [22068547, 69702677], [17821963, 3357702], [27421036, 85823232], [26196625, 12390413], [63486449, 89777221], [37510701, 79287193], [85117079, 65306649], [48808868, 71751964], [94018184, 50601724], [89771231, 52890663], [32330366, 79009471], [7720041, 4411037], [81594414, 84798890], [12036798, 85049379], [53054667, 68786264], [19511547, 1536147], [16327644, 70616226], [41699607, 46503048], [215706, 34493765], [35347653, 16573577], [97165764, 87233073], [94959101, 66707062], [58535531, 42208058], [19937590, 90332030], [73643205, 93742754], [38274060, 47013658], [430707, 23204044], [52066110, 70631449], [18214897, 43490974], [37756389, 84125573], [26084891, 78151477], [3392732, 29279263], [34876137, 70112109], [86216609, 47638828], [818157, 66606148], [49750020, 39086528], [12921772, 32630067], [25502957, 51055485], [38671352, 39199353], [50380298, 12198817], [42673748, 34716544], [37289772, 96444164], [40171859, 64712953], [78833831, 9846058], [39333226, 13081808], [96939792, 28446415], [57075374, 28170781], [48163790, 35792488], [34558757, 55244249], [86826392, 42723216], [46598240, 8766654], [33874465, 67142207], [45800505, 14456124], [36505825, 69058679], [42095303, 93125002], [4727190, 5125999], [4798549, 13862019], [56456303, 2965784], [53552501, 90896096], [49990757, 7126691], [24861205, 98436641], [34038232, 3965784], [29167415, 71796335], [38861161, 35025995], [12433377, 81385780], [89305963, 95113449], [37223667, 20935817], [34637564, 3423377], [66618892, 46419881], [64271691, 11454379], [11143335, 85430641], [41551333, 51727269], [34991146, 57509165], [26251319, 71724251], [15980627, 67643768], [78700713, 3401742], [33713998, 19049660], [74622081, 46828137], [27029118, 3759269], [23963720, 86608674], [39871464, 3721520], [70594138, 91054475], [79058565, 34798179], [58968094, 55244488], [18655454, 69447623], [85314608, 68567642], [36259599, 32400674], [44990810, 95938490], [30472249, 96554610], [35404913, 17730092], [99391106, 45867696], [11271723, 90561760], [92475976, 65009193], [97828249, 73251272], [80312804, 55323800], [41833486, 80875011], [80160568, 25358191], [92144801, 28568106], [70528778, 5533559], [4913528, 2791121], [36636905, 49284298], [3485586, 71257812], [30079172, 67672578], [96266436, 9936285], [17995670, 23258931], [3263176, 83392265], [51931628, 71631916], [51989288, 96954657], [46483114, 62700434], [89262382, 80236135], [22157906, 66416141], [4121187, 31225415], [50779038, 58222935], [48537588, 74793340], [62527834, 62288535], [27074969, 38489588], [30623705, 8560885], [49305239, 17406142], [39387848, 74901507], [59738925, 82854909], [312715, 30987888], [81242538, 80901464], [78566601, 44534733], [71725236, 62151921], [43718525, 18215092], [58121274, 13266915], [35327617, 44008677], [36189455, 82167869], [94495908, 33823855], [23576067, 11475873], [61263581, 43490091], [96182144, 27677080], [4466839, 59773502], [99423574, 56305714], [14562454, 55986126], [61940524, 93292378], [55172371, 85731332], [27242643, 89035216], [52682228, 52145808], [83279675, 80346575], [10176737, 50753148], [16471985, 78733278], [73184832, 93646641], [64197154, 65955799], [84640047, 17359022], [55050453, 37479040], [59724131, 469980], [7405414, 26590684], [74394373, 97364127], [35788087, 66697993], [61266352, 86944149], [16925518, 36848501], [91661888, 23455882], [32146750, 55059447], [93085136, 85442043], [12357790, 17195433], [21033462, 73231934], [20562711, 3131316], [50358947, 39317064], [56407891, 96071975], [48277057, 12165225], [43816229, 45175059], [3217078, 73354604], [3461337, 4956307], [48167207, 79241231], [34980668, 74381021], [91298751, 77162918], [6111297, 35104056], [28917068, 13954891], [89759999, 49326323], [21304518, 7286748], [42344882, 85558629], [27560726, 65234641], [54461842, 47199692], [79670371, 42337702], [52598950, 99959839], [15584006, 86375639], [75534721, 80114625], [95466078, 49483886], [82306482, 63830301], [66790436, 98094846], [57724152, 53858517], [48433382, 48798354], [71129371, 79021989], [4283478, 9912476], [13148349, 87441380], [40172037, 25739926], [43561873, 52115548], [12026864, 51943383], [62371695, 88953425], [6769496, 272921], [39825925, 31505379], [16096521, 71796775], [86035451, 79926569], [18205621, 92970723], [89756793, 94156235], [26103200, 99361268], [34001059, 4295301], [63227331, 81810158], [39301602, 10742735], [21114482, 38862564], [46899588, 20555758], [22567858, 87473510], [64643081, 4035401], [51842983, 44342040], [76829207, 55777158], [70508024, 75858464], [86044055, 10258293], [66437748, 83328251], [85317146, 65058539], [55597923, 80889866], [82616235, 49026111], [56926561, 46817876], [77901963, 24103631], [38385608, 19371836], [43770980, 30676656], [71794678, 58959223], [39460718, 57288827], [9039176, 61290943], [26984839, 12155780], [69333864, 14462358], [15589985, 36943824], [38803926, 55455197], [93812400, 61107535], [65962306, 31248393], [97228054, 58372367], [68307027, 18477626], [33405467, 51250506], [3734597, 36969231], [93561086, 7389100], [81770532, 57675867], [59113848, 77027359], [48488506, 42647920], [53628391, 74020252], [35273849, 68652615], [54643678, 97706372], [88960288, 72572642], [74169916, 71972073], [84316945, 34114716], [50008174, 30164668], [35913711, 29795166], [35445496, 25800750], [46829010, 16886755], [98020862, 91972280], [75800235, 13523405], [40799685, 96191766], [8495523, 4901436], [56009085, 29903240], [24997613, 72446944], [37811486, 18515637], [17016338, 64334546], [42052316, 99746518], [31424049, 59535761], [72710943, 17366004], [1721111, 71224359], [47346058, 23016830], [21066904, 34105711], [53148096, 56181274], [68609671, 998499], [31075254, 37059050], [744006, 59297204], [71964368, 43028650], [85656925, 44057516], [56084000, 44555700], [71920841, 14794102], [91124274, 77383467], [69557801, 83638572], [7373450, 43961866], [49458295, 56507112], [3884816, 71968305], [83566457, 2069526], [7895297, 11593144], [91929006, 90392490], [21457050, 75904537], [93367363, 83636866], [95731074, 15526851], [48202522, 58588431], [45095615, 87592747], [98910502, 92790061], [82475574, 21204177], [90685129, 75540306], [93168713, 69090413], [96528589, 34946210], [73158472, 52769839], [92824963, 45682144], [44554278, 97513952], [91981048, 50976522], [3075495, 65541052], [50243798, 33312705], [96994120, 38693833], [69975048, 39527701], [72797128, 56989662], [3988245, 71145130], [36479529, 47553633], [17938928, 26863871], [76924, 91702069], [20227606, 68507227], [53164777, 10952120], [54455601, 82557279], [22165557, 91594989], [24076007, 16535152], [36849818, 12106715], [52589238, 20645934], [12829758, 58432675], [61481789, 22427038], [70640594, 29123381], [13834754, 14531590], [18211746, 47805754], [58100535, 38368657], [57306400, 45562257], [30426533, 97102464], [25824436, 60356316], [74985445, 7436113], [97384689, 25841198], [4156384, 18396739], [42237851, 705606], [12871080, 68728640], [63721798, 49945747], [65783367, 40205029], [7230809, 99516406], [67611663, 46642664], [90263000, 81940008], [53760861, 83599851], [94584986, 68195136], [73505187, 68020902], [73365495, 12244655], [58491334, 20530489], [57482273, 6032282], [90766381, 38098470], [9751705, 44551184], [67731955, 23952355], [88490750, 27424634], [19504465, 59252178], [10728328, 75206328], [42043928, 38977052], [35182706, 16339596], [81748899, 35051577], [75322704, 56348047], [62164914, 90078767], [14838217, 53205558], [98309571, 37696941], [93027537, 95880797], [58464173, 37630114], [29702634, 48723290], [68011603, 26000581], [79359178, 91702514], [52896009, 2335024], [39071323, 20303591], [2713063, 11297908], [70410011, 59631246], [54811318, 59361265], [90201044, 8642596], [26371811, 60376223], [30804991, 27455037], [6525596, 24113101], [42186335, 33183978], [42207007, 87234929], [72210467, 29135735], [24758876, 67331622], [623242, 20621660], [39544507, 55375034], [5976210, 79298952], [70942444, 33070105], [1361399, 6315106], [36772291, 8368851], [19162560, 46839145], [42693534, 5583585], [59771917, 76236576], [23422123, 86163570], [31651191, 84121759], [74076900, 17058399], [88776427, 62386777], [28542555, 39014913], [12353075, 41416557], [8638076, 1033831], [31146680, 76019804], [51639978, 53187101], [15441498, 33381392], [29539843, 4081778], [78839589, 61921525], [93684257, 87070463], [70621582, 13227123], [45609637, 12718605], [88517714, 9304883], [68570896, 75115130], [69474402, 7133640], [97591181, 98113327], [83011537, 42164412], [94070714, 86045171], [39069709, 97273908], [21156580, 2538580], [65982700, 4241724], [77338879, 68835052], [18799894, 5793856], [39837570, 70806434], [20570072, 34124231], [14045451, 54661929], [85617559, 16288767], [41044255, 26313821], [79248062, 30263353], [21632032, 91243568], [72249835, 46528317], [65921500, 81501385], [66488258, 2213407], [57466164, 22563357], [59032597, 53206290], [83759070, 31616331], [70322059, 26245769], [91361358, 86025570], [12046123, 3683637], [23367419, 18594508], [70837609, 19910620], [29075549, 6786946], [87759589, 438383], [7001570, 16884243], [32882845, 16429954], [35034497, 7204739], [97214892, 62111791], [11482089, 75844387], [87306701, 82754851], [76817742, 35692786], [15899935, 15749898], [58640091, 87163734], [63099643, 19168421], [86900342, 89114490], [54964393, 70635023], [25936640, 95407990], [59055516, 29482762], [7084738, 2961343], [42249606, 23180734], [92278817, 45359396], [36180165, 11311034], [74709801, 96766519], [62642792, 83469638], [44893820, 30194187], [40742584, 75698850], [51298968, 9061246], [19226120, 25537415], [79863718, 17728655], [5464687, 98701590], [59486301, 84391184], [79375373, 74791417], [20876022, 77407581], [75162150, 31202645], [20834182, 37337834], [9361155, 78175734], [41540849, 84907096], [46235498, 67297529], [10832742, 67576130], [70761620, 38218840], [51121871, 23204243], [56869610, 80654289], [42135068, 43372375], [39712950, 52576845], [44110268, 46391372], [59046355, 75121993], [17563632, 80247013], [94991618, 20612933], [18059934, 33714462], [10697716, 52950340], [21559517, 64505029], [56086820, 230901], [90642364, 55249809], [80153614, 46975266], [15752999, 14124745], [63810194, 54553931], [24409222, 68846875], [11837954, 27826588], [48145579, 49850800], [7156739, 1240014], [45332065, 59354915], [74947597, 98961023], [29542681, 48894796], [53983500, 83596607], [68557982, 83586668], [76724238, 12348775], [68006738, 74486401], [42306640, 4596944], [12614852, 96866943], [39136143, 71442436], [25613484, 99295330], [82759217, 41362967], [96779324, 85115696], [5162686, 55211871], [3151713, 4365610], [2723159, 13472834], [72178304, 15099314], [49619072, 47892630], [65618386, 45227327], [21111460, 46884952], [80045347, 66941296], [59995956, 34759262], [17665719, 40852529], [4725407, 44506192], [32919228, 34880001], [59605532, 36074800], [16084591, 47281251], [89405223, 93547268], [8988235, 94985138], [9914397, 78741681], [81591738, 4155763], [97404333, 75774653], [58729460, 80887341], [81417744, 35664128], [12635528, 18029144], [44249160, 26610846], [7966956, 5661292], [28546918, 28558499], [53985769, 51241761], [18614330, 57824639], [27591970, 58814135], [7267929, 8409990], [664958, 40267344], [95872223, 2170467], [97513458, 45845679], [62001278, 67297165], [8489604, 25873343], [77199151, 10892530], [51625006, 94834538], [36228910, 98026716], [5554416, 70803308], [54366445, 1261069], [72409556, 46858292], [57439668, 99772015], [45662493, 5221414], [58562652, 46515657], [22308373, 21655836], [21225271, 47565857], [85444905, 44757050], [58032157, 62785445], [12993683, 21057829], [89610220, 11517191], [59827644, 28393029], [68510512, 15406217], [93084215, 75971655], [3293111, 88179753], [5229389, 34633523], [31469309, 42527708], [46187762, 56470667], [29687574, 40755116], [65407894, 5092513], [42370350, 11195898], [60368111, 48457650], [88613433, 67218232], [17818764, 57147190], [20748195, 81687521], [45333466, 60009077], [52668448, 44470213], [14093645, 56985204], [13984617, 85734996], [97009772, 78431305], [99838865, 84347963], [51598734, 57486946], [80815280, 50387876], [9643541, 27498839], [14967688, 66007428], [40669072, 79466233], [4898635, 72472905], [42590236, 4005400], [92012975, 51572898], [78599207, 42674712], [69984705, 65481603], [99336187, 58745010], [79342712, 25521584], [31927675, 85029971], [57376091, 94591524], [20645367, 55411665], [65558470, 91948952], [10053860, 36547134], [87861215, 8692053], [6432888, 33711350], [89476696, 60448327], [26871628, 24917457], [15251837, 50876130], [57050093, 39384606], [79922749, 68166843], [79096626, 93438915], [76719199, 27237344], [36247851, 29801794], [84184972, 7158233], [21793538, 45028927], [85921560, 45470013], [72640365, 75380022], [39483404, 95295517], [811868, 93097464], [23508197, 62786505], [71515646, 94324021], [35024944, 6891963], [64852349, 73088578], [92262980, 85888698], [99383433, 48128108], [96666225, 21792662], [12571803, 56087613], [4822259, 92563940], [46305604, 84011463], [1890606, 25896485], [80106312, 31512593], [98050417, 83512589], [16341145, 83418314], [95974563, 5097212], [20066534, 68567009], [77582282, 89322860], [95874869, 95508254], [14571703, 9439524], [64028001, 71842552], [11924531, 44532197], [74548467, 17620239], [76306309, 41314902], [46220524, 7105404], [51896215, 89489946], [65002730, 91448678], [62535733, 37112800], [47865909, 3500076], [55441209, 58903613], [19200876, 45247405], [63059530, 35701631], [98848421, 26416558], [63887683, 1410747], [11175753, 61098042], [45332533, 81549518], [22238463, 69188436], [3359424, 16425050], [53705769, 55061388], [29944949, 21359272], [57294456, 90646730], [67585217, 58508928], [22253136, 88960909], [20194827, 73237197], [52490706, 20871703], [92262688, 72802558], [89231110, 39039813], [84179353, 17076990], [19863069, 37863921], [75387022, 78031187], [46739184, 18139562], [67466258, 52794539], [16146165, 80907499], [82581470, 71918608], [68360985, 56065229], [58259849, 66999243], [34679773, 48087938], [3878932, 85958012], [56401862, 23183037], [21712050, 88429464], [6451954, 58913300], [63002666, 4398837], [87936670, 30321619], [30513479, 42567997], [56070382, 39140215], [51097683, 57107994], [7927222, 54451480], [82203209, 38477122], [35831558, 92191773], [36083529, 5105376], [37527149, 29428391], [84751738, 39431866], [13792786, 82841684], [95785786, 46151227], [58851517, 46458901], [97529198, 72804021], [3725337, 24359180], [92078759, 82651142], [15127160, 14678221], [98098688, 72700951], [56213933, 43665894], [59346092, 29074281], [556838, 94822794], [2655349, 20898271], [18962064, 41826857], [45904829, 13168071], [57127739, 58772242], [31572568, 18186061], [1220478, 39414634], [17253655, 55894519], [11965150, 30708050], [83461397, 53194320], [37578795, 43936200], [78223213, 11725308], [601563, 1623144], [86495518, 35233996], [4756258, 87504329], [89751706, 32310112], [15081296, 22076223], [59167730, 74846609], [75708479, 21959333], [40147138, 99681437], [29354302, 59155985], [23513126, 15206608], [11254767, 17324077], [75911760, 92898289], [62726542, 50821007], [2155090, 83472578], [23705070, 72866712], [30261479, 19120101], [24546492, 29906252], [55998543, 22972823], [49273249, 71662389], [59937322, 64044747], [81631838, 10698804], [84211208, 3843941], [27404008, 61115692], [29246052, 87696940], [7848779, 51879389], [98878594, 94780819], [80982818, 96303432], [79689637, 62020267], [29743980, 49194122], [47201184, 46550771], [21814504, 99786214], [18541728, 90066833], [61976989, 45893646], [19906912, 50979851], [41595689, 18154238], [70650239, 48334818], [89619857, 12731712], [17816440, 6731114], [95706455, 11220932], [50171102, 83956790], [96457088, 40877467], [84159669, 6386325], [27806785, 96556617], [28690555, 84169116], [83990740, 23982404], [83472524, 83053142], [88145339, 81835458], [4936264, 58574455], [69985796, 13501186], [40130628, 50610938], [83532202, 89667414], [85971885, 15315673], [13671514, 47304458], [58710289, 35463473], [22467982, 84097653], [56916794, 65332082], [69841118, 84814051], [26337756, 15980800], [26319536, 54838895], [8751841, 23476193], [41871974, 25570317], [41642914, 28775716], [79612813, 38198662], [67464731, 94440090], [12395625, 80685657], [38483510, 21877818], [13254469, 31137789], [85009606, 51419656], [80554800, 73769633], [43928860, 94197254], [31283418, 34879848], [58015454, 72012958], [49476030, 67851763], [41541869, 55696291], [29973098, 71467427], [45110249, 76520687], [43855245, 59638425], [29387043, 69310675], [93154955, 92544025], [43259139, 28498102], [35225699, 42288885], [78974820, 69287649], [32317369, 1483623], [12733388, 43279830], [79399607, 21796045], [83890310, 1625913], [25873433, 4398662], [54647750, 93679050], [31473856, 14450453], [76955116, 71178287], [80429239, 85018322], [36146239, 26175572], [22288656, 36148887], [95006456, 40480695], [78648066, 59459255], [57081367, 44460095], [63823828, 30561856], [42083000, 62135668], [43956105, 8832530], [55828431, 97382105], [61166074, 3754483], [69547957, 61193732], [20611249, 84581027], [58613599, 71694833], [62852866, 81437099], [80230665, 5010617], [12153538, 72505401], [11862122, 12341154], [50056761, 97851262], [53167696, 75030918], [51708511, 38087437], [21939802, 57452696], [53754388, 81874917], [57960743, 274750], [88188858, 32071191], [26376546, 28946366], [9985034, 85833644], [57975111, 11354745], [63311756, 15144666], [91532373, 941054], [57455415, 65847588], [39494601, 50482676], [31444411, 65043547], [42409721, 27013292], [81183596, 2688437], [26097441, 92875910], [41516657, 61850753], [54408059, 35276839], [67163217, 96692453], [17522159, 36801761], [86382632, 78868845], [4869088, 62380627], [69635106, 43848864], [49034302, 95906115], [6071618, 68727621], [66242241, 28397335], [44534404, 71956357], [200889, 4169031], [46824691, 58761188], [67400077, 14787416], [8949826, 81805323], [17773423, 81364956], [72212577, 98865399], [19566856, 26428416], [12543247, 51799769], [84906975, 87757010], [82780171, 14518237], [70690456, 34678200], [33191687, 28158616], [26795940, 42583702], [87770596, 66452967], [80344087, 92336389], [23538281, 71739886], [12554096, 57020509], [90178202, 21925586], [96176505, 24225712], [62265662, 57424230], [51286932, 24809637], [31311104, 24184222], [83842632, 45928212], [46540569, 63734367], [74700272, 43171052], [92580190, 59430583], [19749193, 94276623], [91502033, 28648253], [58765811, 22362534], [4118210, 72346693], [89236446, 30116043], [59797057, 9285432], [37597356, 22488300], [30769638, 41829446], [79634584, 56412841], [14966798, 61315762], [83879889, 61592582], [24653027, 89809661], [23476540, 78302912], [6128059, 13874111], [54239187, 98194683], [7647407, 26977363], [81698991, 12535888], [54036619, 74204317], [23763746, 42457751], [46441803, 51846064], [26712172, 87258005], [22766940, 8171874], [95490212, 60670532], [64296495, 82297508], [79396173, 47870650], [80377821, 21345663], [99550115, 81766712], [77112453, 14570253], [10981761, 42292894], [95142227, 46639302], [19243925, 47339035], [65841275, 11390915], [10255606, 3241136], [69799083, 75975493], [85492455, 32488964], [28616004, 78264724], [81457020, 76710243], [34682170, 39586595], [10168532, 38544531], [96391028, 84590647], [3809943, 23553049], [50502713, 3684322], [63540457, 24098389], [59364179, 28571079], [83662116, 65003476], [42364481, 19272052], [33164739, 31326865], [24930957, 32351474], [66059277, 63043393], [66276137, 29260284], [36781027, 85536867], [55116026, 2271444], [49265394, 33825242], [50253152, 23330105], [1158334, 56400416], [93834953, 30661557], [789832, 88956050], [59975328, 30226040], [42181906, 25473021], [79387232, 69713681], [89123871, 87753538], [28809544, 97148968], [68197244, 49828660], [39737629, 85804875], [77121073, 54796795], [85423503, 59920339], [21378537, 88618695], [76396251, 53409183], [16838744, 55902951], [72307655, 92231102], [99215767, 14473860], [68941848, 10741074], [81233319, 12308542], [76192398, 93707417], [3451520, 78995231], [47123029, 43529882], [54455557, 87001325], [40135275, 55266668], [84231232, 54609615], [87673970, 78890257], [67458479, 76468974], [89634624, 41722101], [92832059, 15502589], [12117635, 7079394], [64151374, 74899881], [65419885, 86854521], [26147446, 35759328], [5015308, 65552735], [80772527, 11175553], [92440052, 66626599], [69235411, 35677061], [42261329, 13889879], [92596739, 23152876], [68837583, 95194842], [45217424, 74974978], [39216302, 188231], [56319222, 12793599], [46847142, 9720740], [86626007, 21291473], [64273114, 47535775], [79236497, 60620999], [77877349, 35299041], [18467608, 54301945], [45336947, 16955421], [25190156, 56509459], [34208961, 49183011], [13582564, 68986757], [61169170, 20451450], [86185683, 54392209], [39867331, 40213350], [72336601, 22214215], [53712418, 80420557], [5239574, 74130422], [30001119, 52507982], [63232300, 68129086], [53606680, 83432881], [94443930, 777076], [42920645, 70138232], [71744861, 7964283], [88115392, 83741236], [63252364, 69100662], [98908066, 35674494], [56243401, 71177567], [97542318, 80626039], [58739844, 60323025], [7208801, 95451586], [3300547, 89212414], [14006290, 6434359], [78893065, 91932562], [54160106, 32453282], [84080412, 83398840], [78274746, 66789277], [2396038, 69570977], [87381604, 57173768], [99129631, 48494498], [5039998, 89023880], [15477527, 68625942], [36364675, 24795916], [20128570, 89209951], [72423164, 84164071], [65359003, 58544282], [93987772, 77355652], [8942141, 21919668], [67113775, 75862889], [75860266, 41893144], [9002828, 67947828], [89029990, 86712471], [48013637, 36437452], [71263032, 72164869], [67478401, 5728410], [10021432, 73468525], [35967802, 84220937], [66460259, 74765331], [22925573, 38596872], [11493022, 75891082], [45236047, 82524883], [57376158, 50483041], [17851974, 25405497], [11430089, 65326956], [47167850, 58874275], [53900296, 90006994], [26795221, 55334696], [85196507, 37189545], [22189443, 82470612], [54221611, 16545029], [83630503, 56501525], [42505631, 11835867], [13949382, 63651380], [64563468, 11038727], [55469314, 78341647], [92007964, 58678839], [5431913, 11104621], [42871862, 1752823], [75152887, 2492629], [84042303, 71827761], [35672672, 85117546], [43249935, 74182323], [21092297, 57941312], [90942637, 92100285], [28668398, 71016100], [27068857, 19850345], [64552339, 33440427], [44792855, 94839730], [53419845, 28419332], [12632102, 18736575], [34759703, 50561267], [72585123, 77245983], [65348226, 26698269], [41443959, 14042980], [70076439, 2656153], [84095208, 63963328], [79040325, 34137302], [24214092, 91773937], [1395413, 32822177], [8304166, 45718354], [76031916, 90531551], [55324101, 20830945], [54684844, 92591750], [66336521, 48374647], [10519750, 21057297], [27816886, 49491272], [16195436, 97522949], [32512999, 15634625], [76582808, 96047690], [99697269, 50212595], [390681, 80207998], [8746119, 60195114], [23963376, 77738780], [56206926, 29611737], [89141170, 20098885], [18450566, 33972137], [87809692, 75601198], [88851093, 84718416], [80520167, 71812712], [15905636, 21635362], [47455491, 60075109], [39379017, 38073423], [21789285, 37417270], [8971667, 72753865], [67737684, 30271717], [85048185, 62116583], [80263646, 72148476], [62409103, 25763104], [80759535, 96093174], [85095080, 27579824], [77308018, 58262160], [99709139, 37060861], [18663683, 5628981], [58995049, 96093880], [46556121, 15149536], [43359993, 77891591], [24561019, 59570028], [9256861, 29293729], [74526690, 8940402], [10087147, 42364194], [75037404, 51871278], [22098212, 25180239], [73173068, 80119143], [22768192, 4136169], [13596029, 8802636], [11125800, 3861754], [53857995, 2160560], [67005161, 82560339], [54467622, 47537337], [10998999, 75798632], [90202031, 88854109], [19495191, 71465703], [28049468, 79755827], [63037524, 22047661], [24833674, 12004634], [39201378, 7065565], [92416683, 9646077], [33660400, 72559004], [60262263, 6365727], [54035423, 49322623], [70835950, 84745202], [49052614, 76512037], [95247632, 9431322], [28870609, 28252699], [89027113, 39819176], [8700962, 42700388], [19155707, 15399058], [69854138, 24504883], [56186641, 36607618], [70818600, 92510259], [25282111, 88048909], [2408647, 24155101], [45634076, 44805474], [21762762, 45238146], [32812646, 75211109], [54036665, 61283250], [30414931, 18066861], [88705462, 95992774], [17760207, 80324642], [50995891, 13359637], [6707069, 91170888], [36302414, 31706309], [61583355, 84863067], [19322993, 87782346], [2790577, 14703190], [7232028, 66945848], [79690042, 86098169], [97741207, 45822295], [45383309, 68255221], [23196191, 53615481], [96794042, 50520261], [34434711, 35466094], [89672119, 14007520], [16819193, 42718224], [13356687, 93287642], [29102847, 44863478], [49018750, 29889542], [56957788, 94450604], [84027492, 25534466], [97019761, 66756476], [3495548, 42433546], [35176069, 90700801], [36803675, 72493632], [89838508, 24885655], [81721132, 2702814], [50645115, 54460937], [26029215, 32149629], [26709813, 91748224], [29848938, 23747933], [70362089, 17921824], [21037390, 31303152], [86552958, 87327864], [53790997, 5780627], [97662978, 73869709], [78724540, 10680945], [14234430, 58910762], [57060264, 63518288], [95108343, 25668900], [97463901, 20348008], [75399664, 15741845], [95035492, 71200706], [25965310, 24016430], [7876451, 40882680], [62365214, 95158305], [87242184, 25157252], [61142901, 31466479], [67381833, 300786], [59732482, 37619471], [8534077, 57399340], [60989026, 42245405], [8516281, 87765432], [70473918, 60340687], [12233673, 44286258], [35212038, 53913141], [84632536, 71506687], [71776367, 98190412], [2174360, 66383884], [20265359, 95086206], [33493604, 86140901], [63568107, 27970644], [33097235, 84081994], [89553803, 10673592], [67032142, 49410380], [39745975, 27162908], [31551158, 18692974], [1067271, 43898456], [4539229, 60486631], [28080445, 99410710], [26965083, 152235], [8816746, 77452642], [28089922, 48067449], [51190633, 87996357], [54709757, 78005855], [32006124, 31567947], [72770560, 74700945], [60154206, 48649399], [90203375, 51943555], [87778555, 67984340], [44555556, 80300502], [97469264, 7341799], [83771396, 64502207], [25423367, 63527899], [82453542, 97951110], [93650135, 72606562], [63095521, 2678556], [11936648, 29608530], [32673667, 86855836], [85139112, 66128420], [40944639, 72436870], [53582165, 24230885], [40665289, 91269759], [79742359, 52520398], [95713225, 45215814], [5283831, 67510426], [5209469, 3631404], [46732077, 85985254], [73685302, 74677902], [83511719, 94134609], [33209322, 17628084], [93703048, 59892922], [40071484, 59582723], [22871155, 95868062], [46794160, 66350555], [67943268, 59839605], [78139866, 78406387], [69937192, 97928337], [61823449, 95308046], [82663263, 85657271], [99799380, 14598599], [85670395, 17915785], [3301910, 77081807], [30501330, 49300600], [58067674, 1218795], [97587378, 42985823], [90714139, 13295387], [27536678, 60469275], [87888746, 34779819], [71049159, 607879], [69079305, 54679436], [38288681, 7557961], [64620941, 6133259], [55373383, 10445973], [56642423, 74320255], [57947561, 93538388], [17526513, 98088394], [2161810, 37233202], [48100379, 64958515], [73784998, 47813012], [96128252, 64698418], [39698343, 57830762], [60767838, 96077575], [40838585, 1164291], [72759202, 41131432], [58081724, 75014586], [68031819, 93154435], [46371291, 52610697], [10999224, 80610134], [89879740, 23270568], [73990728, 70191885], [32492915, 63694314], [34699492, 17238132], [2634253, 66378358], [50211353, 17972691], [64200990, 81367549], [51673884, 39084508], [46020003, 13613487], [7640932, 49751203], [85211160, 34881304], [1668894, 31738789], [7353238, 37459913], [39195858, 76759736], [42713880, 96422355], [77911705, 83835328], [74914918, 70565446], [83993741, 50955019], [62078120, 95036280], [49328229, 83801893], [99273951, 81991927], [36562078, 88995544], [99390387, 22321449], [67272364, 98803620], [64172740, 40109277], [90521969, 62649636], [30080079, 3689432], [24970852, 52929203], [90041525, 78394880], [88143932, 46971966], [46727212, 1198547], [62908506, 12248637], [29572822, 25588861], [66069942, 82149726], [56636913, 60546810], [7206782, 60475774], [3753795, 39834435], [30752560, 46375627], [31556106, 34574334], [32618506, 58820521], [83240107, 22084839], [8211051, 50457244], [63807311, 31655294], [65434574, 69588549], [92101794, 93217363], [54112389, 46867264], [18461884, 71825807], [64701669, 52673680], [90088804, 95914565], [46340839, 29706609], [43512025, 53393327], [15771186, 84671771], [66019808, 27539554], [94179818, 92732], [18124394, 39102326], [12000101, 79056810], [37567401, 68512752], [23224373, 84767746], [27781768, 79240419], [16059604, 25614990], [8234849, 24203381], [8036462, 40702980], [33931058, 56809219], [78488130, 76879793], [36151808, 42974990], [74294664, 48362437], [75491171, 32587077], [58048149, 29659286], [31731378, 50909643], [3945838, 78366357], [84160879, 5068391], [21316555, 87558835], [53543401, 48359318], [45738672, 87355295], [70015330, 74375838], [19347477, 23602041], [31327466, 46031425], [86957759, 63130721], [36592963, 56408701], [38937773, 80033683], [53127897, 47675470], [41710036, 4022104], [77742388, 97696913], [78805443, 73554271], [23489513, 30560013], [41151050, 14144399], [84213464, 88734806], [39474558, 90079299], [73522730, 19647021], [25695240, 57216868], [2763617, 61428798], [27453203, 28011128], [42051814, 52939106], [53475643, 43768033], [13411660, 45266272], [4995581, 6008397], [66589864, 92232488], [46208384, 8787194], [78598121, 10196940], [69920323, 99059674], [755565, 94980387], [61855033, 71839953], [42192507, 69142468], [76912266, 20105368], [54551495, 7880283], [69766159, 85696793], [72573636, 28190760], [59212173, 47319386], [9463880, 75034736], [46100783, 59577151], [31424674, 8215309], [56393183, 35765677], [25406405, 71613118], [40683167, 28377160], [59275722, 46249160], [74357568, 86047677], [66561373, 4763246], [82210335, 59047745], [35057984, 98677052], [64747853, 61382203], [4643885, 8212841], [81996160, 86862287], [91739277, 4808674], [19948610, 7369818], [37440328, 49846529], [23659172, 14642753], [67903431, 79114343], [86588372, 99520301], [94254329, 74948402], [36810969, 22281816], [32514992, 3221656], [59695448, 8760931], [32985435, 83018011], [2082109, 6035822], [30305572, 3721850], [19069831, 87786328], [83797475, 62782860], [95094355, 14821937], [54094518, 89502299], [25535628, 42972555], [73025346, 63515716], [14612177, 76725543], [65574371, 25808535], [48897581, 11050187], [77709647, 1957366], [7834225, 41585313], [11658047, 2973223], [76603347, 88324081], [74609978, 63776222], [44504291, 39676014], [32483272, 61800202], [8976840, 10286855], [43053678, 92316529], [65326061, 70258899], [73864705, 22212059], [2958671, 25579967], [32577574, 21707379], [93523894, 25597244], [18241998, 85795149], [53057635, 25229114], [82238177, 2296018], [33573639, 79853857], [96955616, 48844292], [8860377, 48230268], [84671542, 15383931], [86620168, 43618735], [52390914, 55321069], [33432438, 81191280], [13066613, 29984436], [787895, 12136674], [74018733, 32708422], [5832254, 65052255], [52865474, 20396588], [19194162, 7068132], [5721744, 91667683], [19113371, 42086713], [48961479, 41092271], [23943400, 40071960], [65225671, 95544601], [27507977, 72445618], [70388817, 1657139], [81135622, 45435400], [37995011, 73766909], [79872917, 6015813], [12580922, 25561408], [68615074, 40730157], [62340423, 68360608], [1139171, 82004289], [55566865, 5585050], [49942066, 58115880], [55853639, 42956582], [19462610, 3701536], [10782658, 87516855], [98689213, 84493235], [33269507, 6949374], [7421295, 42778364], [29870173, 36870863], [56347092, 39664612], [9133694, 52970811], [81510414, 76206433], [5708065, 71754840], [56475766, 89126573], [37004626, 64541520], [65636940, 87486413], [49886707, 56146489], [27011002, 80288568], [5463373, 66990411], [64636469, 43770768], [84613831, 10560706], [29371653, 91063494], [62225506, 35199065], [19615552, 57076346], [24546381, 40238414], [94725768, 8539390], [79368583, 99576421], [96796737, 67912229], [75917091, 9106994], [47772348, 24803122], [34335307, 30326639], [50890117, 56495757], [5162887, 69284071], [80383614, 37569328], [27823353, 79847433], [68074343, 49039800], [11181564, 51232306], [28636877, 21546133], [26659537, 22902520], [68682160, 181170], [29938463, 96905713], [69573898, 23446261], [42379564, 14099419], [24193361, 53223808], [60687852, 47087330], [50303448, 44660038], [20329279, 50620319], [85333087, 2744033], [75230162, 89653590], [99476236, 87780085], [43076929, 66833885], [46167963, 81250662], [85082934, 53891883], [22794226, 6379099], [45499346, 8870159], [1284917, 11245345], [71414232, 26921866], [1154502, 67691501], [79788413, 42279153], [68455451, 21066105], [541329, 21350001], [77564807, 53461376], [19564597, 53511331], [22136854, 19764864], [24813242, 61433806], [15552246, 63753219], [29403124, 11895492], [71624988, 78899286], [83224618, 34233188], [73994437, 71231303], [77112441, 23330482], [52221900, 63379011], [5362281, 12324860], [39982423, 83226120], [93568055, 89075345], [55031841, 71869461], [33346945, 34792891], [90181445, 41725048], [5952862, 8303279], [27087119, 53759820], [33248821, 82772388], [14234956, 49404159], [69503175, 57719022], [38925166, 41699367], [62119054, 35157077], [65223653, 68779644], [77264343, 36939486], [90982181, 84212704], [49921988, 12843844], [74875000, 37062364], [51088626, 77345145], [29354710, 61918793], [69687604, 97615200], [60032148, 88038859], [75081625, 25976259], [48601578, 24101386], [41495543, 35793277], [82084864, 12082275], [29590008, 51595719], [18292999, 19240056], [24522672, 95785896], [24700297, 39218136], [94468189, 25648273], [24291622, 87931903], [25411846, 79285672], [84408664, 9127820], [45366592, 74829985], [61174097, 30648582], [42364984, 55920779], [8586993, 59393314], [10633458, 98663281], [11284655, 92401733], [51328919, 19242404], [90514664, 71681643], [10570674, 25739086], [70556462, 84150594], [41222652, 25059308], [76041160, 7678870], [67161525, 67907116], [43906394, 36534599], [75324611, 29443425], [42609759, 36989630], [98870468, 11152491], [9332888, 80705086], [76484936, 75160670], [82775786, 47038570], [20993448, 72755014], [5963435, 96675576], [97067581, 36109027], [74392814, 52002279], [15775874, 57934344], [17462996, 69293163], [21271301, 72489885], [56330862, 69859394], [71146855, 5194937], [80184903, 84694175], [53180823, 47482638], [34714323, 22979478], [23175704, 99396185], [5349820, 12201820], [43359454, 34606238], [36104221, 19346366], [68624494, 51396566], [16608215, 40700896], [68809391, 66041833], [86747000, 82421210], [56661734, 82549591], [52163522, 6919102], [52942502, 555036], [3681306, 5226898], [78602213, 47348697], [6912888, 9419124], [55483995, 29531717], [64771054, 46224796], [47595950, 30641352], [14669609, 95572047], [69888974, 92563942], [46587623, 50304018], [73276119, 37282518], [47787308, 43352365], [95927221, 41952486], [60897818, 41083336], [3411985, 88090968], [17720925, 75285676], [74178100, 13848098], [16956005, 93719809], [17546856, 27751029], [30155916, 5655254], [987851, 3707118], [12584462, 13000299], [73276066, 2833534], [2877209, 38910088], [65580423, 67515631], [74692649, 18570217], [20717361, 72782034], [77788085, 20263325], [6893995, 6263185], [81065596, 60670886], [61950642, 73591190], [99772933, 19016979], [72326792, 42787409], [80659453, 64781153], [43618764, 28498030], [81733752, 46484843], [51813626, 41482000], [56781849, 67104502], [86229395, 77292016], [71654531, 27504202], [49283365, 43677254], [48793801, 71776128], [86495245, 54336865], [9230803, 84646201], [95162519, 25193049], [33948182, 75890660], [10309569, 13630191], [29674779, 10630625], [99425968, 33418334], [62154328, 55224168], [65928720, 23031079], [84354234, 13503430], [78821255, 46758557], [9705871, 14541286], [23918547, 71652534], [65806017, 2624567], [4140368, 51676311], [20187735, 19358902], [44716852, 25576859], [87449643, 32180057], [23654921, 36704689], [85289633, 28671655], [59826154, 86441129], [90401550, 72507725], [93766544, 81381700], [69718632, 17676723], [88601389, 60549753], [2264965, 96612303], [65097294, 62188678], [47539645, 70867484], [85756094, 58981456], [43176222, 85441788], [24105399, 10912981], [92278399, 57073538], [47816789, 16521250], [21712613, 7390642], [42600363, 9725665], [5199428, 36979023], [55198448, 11766975], [5346796, 2130629], [73326851, 48465714], [95632256, 32534848], [89207996, 50613619], [82372506, 51442238], [58739456, 54827957], [44941305, 5609229], [48780620, 62806776], [4460126, 72202217], [51280423, 5268084], [88582157, 79097915], [6595214, 83400774], [58277237, 29884271], [12831492, 28541145], [17532942, 34813550], [58456128, 75768097], [84342863, 736694], [53697627, 62473705], [7102504, 1936647], [85886780, 91206562], [99819938, 67315227], [50485413, 63834995], [91693408, 33733454], [98859402, 18630734], [25931837, 57284257], [58659002, 78919086], [6013098, 77752021], [80659299, 92553380], [96562008, 40565274], [62833281, 35956173], [33463277, 81422691], [53090103, 23572631], [1842402, 20239127], [17533656, 40632279], [8837252, 9352648], [6637778, 11278503], [91628633, 18337334], [18123936, 60763773], [81872720, 68272232], [21042684, 87757237], [17720353, 97810599], [49187357, 99263995], [47441307, 30487811], [48682403, 16133491], [50959281, 10983657], [1414121, 100242], [57543930, 50258829], [80281109, 66648590], [20727989, 58904257], [15051977, 61120475], [44626524, 6310480], [766780, 51194935], [10421896, 57063647], [75670734, 14568556], [72208416, 27804104], [20494084, 85746440], [16977684, 54776729], [97215430, 94850623], [52429355, 47107981], [37460858, 33850933], [40103530, 10824652], [75899368, 50458948], [18476895, 62370850], [36319189, 69522572], [62243898, 76125382], [81709115, 34803351], [12026728, 41947425], [72343965, 80203150], [80530998, 95055801], [34843561, 71194933], [89639909, 86128816], [66384572, 38985153], [35654669, 96309381], [82015128, 4097994], [93536369, 34952329], [21917745, 32116358], [73215610, 53035589], [64521544, 86657582], [75890726, 32554418], [21627186, 90288674], [24986220, 77459986], [49617811, 76494613], [905224, 35250797], [84389470, 93736144], [85887164, 8281445], [26374018, 21584329], [48882850, 34380804], [4018474, 43214899], [21981798, 89619871], [73992734, 35081331], [18321416, 19516226], [83810260, 58045050], [30251548, 87283463], [23877464, 88364275], [44735494, 44059922], [33974136, 40467713], [2025518, 43506007], [7999943, 62496439], [96520363, 59762127], [77054571, 12191255], [40436441, 89572193], [65373555, 95346545], [36113589, 11022030], [70370524, 80304956], [18799274, 73243159], [9886652, 13543863], [16286675, 21112639], [94228611, 70271764], [42062363, 63866414], [219790, 67841226], [90586091, 79978219], [50941875, 9811742], [57670906, 64831901], [49167556, 33426787], [60450766, 51681248], [65326679, 46350980], [37154874, 45389376], [23322327, 62277472], [50413012, 36880625], [68688995, 20488503], [36785847, 37562850], [62599790, 358669], [65637368, 7142987], [81146644, 37513264], [52511849, 24978982], [31660680, 82660961], [99557583, 39474802], [15894229, 93436885], [63292331, 64784294], [22567647, 69414662], [75376487, 23499262], [11384932, 92799597], [99535273, 25387584], [71344074, 33876461], [29390499, 61675581], [47158724, 90639069], [50763820, 77814174], [49163834, 38143978], [14531561, 76543187], [78196073, 92521602], [82677775, 15456367], [79733534, 20271457], [99564017, 46043703], [33029571, 22790543], [24814392, 92845387], [38791514, 13770077], [3173245, 13739376], [50793911, 35561650], [10952111, 32934131], [60374473, 156756], [97847891, 54744390], [52550275, 24193379], [72002801, 25679385], [23343463, 18489091], [40678143, 15249796], [53321587, 93107748], [32823199, 6997753], [65686103, 91122374], [60652378, 40789962], [14692048, 34259755], [85062688, 96545834], [8301497, 81497773], [72392561, 29576534], [33577840, 49476436], [96667558, 45646386], [88973863, 98441424], [79769850, 72016027], [24040247, 14072252], [33007435, 5874260], [62417080, 71551600], [28210647, 94961561], [17617151, 45820971], [22668032, 74554489], [60165162, 1929854], [43187071, 20846219], [88851618, 73187395], [97261372, 67574675], [31482917, 94724582], [50168809, 94165390], [74967862, 6860863], [42436276, 71452268], [25427420, 8083695], [18584582, 56789253], [10001985, 97102243], [97167377, 98083713], [45744448, 54430024], [11037612, 56690130], [80716814, 45910584], [43663324, 86319579], [88108355, 11849960], [48457786, 67627152], [29734845, 79765060], [54204784, 78403023], [60167191, 72653504], [36578275, 56675851], [61236106, 38612168], [20166273, 46242134], [86915999, 56384212], [13104203, 33484932], [37102041, 48409738], [41089739, 84040496], [30645769, 40837308], [80247612, 26782380], [79584917, 76318520], [4145538, 64566083], [56024057, 96525222], [76688356, 52663975], [8317880, 88709782], [97242223, 27479093], [78290466, 96393567], [98046896, 2861654], [26089551, 7754574], [42009590, 55632111], [94386273, 81610274], [68093167, 73610193], [70981980, 96739644], [56014975, 7614127], [45342190, 55891900], [65847383, 24661547], [46650976, 24961850], [31306454, 47615627], [48312222, 18305124], [15929344, 9777925], [82777399, 92304793], [66852549, 96671750], [44341590, 77996279], [74388546, 55814503], [37640313, 44634636], [33454199, 5403341], [12964239, 83462716], [46236627, 50161855], [32917778, 44845643], [8191451, 43529334], [31959275, 52347352], [7025441, 89317327], [35704654, 69500900], [1661697, 60135365], [12724763, 64051692], [43603048, 36632663], [94609374, 67411359], [91327209, 6240400], [33815954, 61795045], [46375455, 70042026], [89169945, 8876753], [97174843, 16359367], [35889150, 79928687], [23938270, 50471960], [62293934, 31767661], [39340346, 93512141], [91929135, 69869467], [47061224, 66055764], [25362363, 90889654], [69136934, 14904528], [27537654, 25804686], [30321104, 6494484], [28042647, 29216227], [89522630, 51336126], [15056713, 18212946], [99224116, 63412679], [9139418, 90200683], [12896469, 22646501], [68247045, 27425584], [19813335, 74285294], [59171837, 37632278], [10465825, 28681294], [76491346, 59595540], [1461141, 67295708], [17622591, 66948761], [76872665, 72449662], [44120585, 23060511], [6941327, 76642249], [15738602, 68760375], [31267873, 7295143], [50017990, 74766555], [97189507, 94625397], [80232507, 75667696], [28195403, 43335656], [16731651, 19032198], [70795394, 18700683], [15061044, 13701282], [38665281, 17082205], [25794389, 42580281], [78936928, 99224051], [43634487, 11474371], [4906703, 69700858], [72900555, 97403227], [45388556, 41179963], [56454162, 26309062], [48156111, 6869034], [87237994, 10403316], [12097864, 87695117], [17301479, 81124230], [82935565, 30949476], [42084505, 5127660], [38222155, 93087430], [72430539, 50763403], [41026657, 30829276], [83550107, 79350681], [26980588, 64218258], [3056115, 55462330], [57470426, 2030133], [25704582, 94563005], [23557211, 16321514], [93855389, 69600358], [7451650, 31030613], [3605731, 57749785], [95383891, 45579807], [31290474, 13839404], [79718694, 20718924], [46381039, 46120744], [28281618, 75992920], [64239896, 22966125], [77440527, 79703576], [15587390, 56946248], [33793528, 92453721], [12798406, 30191842], [67980045, 89601377], [26171511, 49808907], [648314, 92980569], [85853157, 70273154], [84538757, 45290535], [43504969, 82899706], [92469399, 50017574], [91070082, 68612103], [54712339, 74495915], [94198543, 49366618], [99133816, 53853189], [80581571, 69191290], [72373835, 71902964], [95929974, 19856032], [16673075, 76355757], [40857371, 34120508], [68175126, 7312205], [84975714, 15927291], [61233688, 98926214], [19654248, 49874402], [75249649, 28297651], [59391869, 24181065], [88509762, 14070623], [57585883, 62018692], [55771383, 12149110], [44799687, 57960807], [37005310, 58392124], [50894043, 10026975], [77473269, 68603612], [91908637, 44268774], [3409853, 62000383], [6443921, 76012136], [87150984, 59807773], [71319715, 96983014], [48336403, 45897273], [97214288, 43053505], [61293920, 88669268], [52983726, 35656417], [74324878, 69044074], [79115052, 64146211], [87864227, 67992191], [53060965, 27033503], [57656361, 94430964], [23634037, 43119697], [33079517, 28714757], [37517850, 53170629], [98611364, 59665744], [19703812, 88431745], [10363618, 61209152], [91489687, 51892961], [72834028, 21867781], [84015821, 83607757], [45018545, 2092461], [13423559, 10591608], [80013932, 19565825], [88965040, 27157192], [13363239, 66238779], [78686998, 77702447], [23686375, 34206815], [81236157, 14545522], [14733424, 50605555], [14686411, 63701763], [89684369, 1226255], [81320468, 56855595], [56871589, 78543993], [32672455, 78214246], [98038108, 32692999], [10086662, 84906167], [25018015, 3091629], [92757999, 81484909], [39416348, 2113737], [15020106, 31425195], [87274804, 30358078], [55192219, 11229673], [63528099, 99170048], [93303503, 29906568], [13779426, 86155338], [3025766, 79954366], [70053387, 90208508], [31153218, 52794652], [55364289, 65953605], [73379383, 74579316], [98432945, 59065881], [58135742, 3203973], [31117326, 41102610], [61245400, 57972433], [91088496, 37334964], [82511061, 20426498], [12115156, 19926542], [10059206, 19139648], [52582243, 3028102], [12659278, 13048585], [15457695, 97602652], [25210476, 86196674], [94406944, 88170042], [25872370, 25147336], [69402812, 44120771], [47580689, 77073735], [70837884, 35185777], [59733483, 13783175], [69130206, 76956637], [1906759, 91901825], [55066896, 41128693], [29348910, 32602590], [29020104, 71074353], [44790848, 52935237], [90713965, 47157526], [57019721, 60179341], [8708479, 76992761], [77744515, 13097694], [40756477, 24920209], [83155098, 55127415], [41210018, 48875819], [52013028, 50247215], [49764099, 34838268], [42516754, 30156349], [81200536, 94187751], [17646330, 84846207], [8591388, 89530940], [14278782, 71337089], [41951659, 25109250], [77212965, 45285688], [59632353, 54782726], [52051589, 98248163], [48845181, 37241432], [786639, 42891899], [6145334, 20901123], [84236460, 41454089], [29366102, 31972477], [30834300, 79481516], [43478562, 83869699], [93873484, 37064970], [32893685, 25792696], [53467770, 3551337], [57126422, 70747432], [64653022, 43225933], [46907801, 56757520], [23442860, 20249411], [30135763, 5985537], [37358948, 33324908], [70824898, 51216118], [75984048, 53881868], [61836865, 32568472], [32426641, 87700254], [84513250, 77447496], [5631569, 26951826], [36736221, 95224928], [5395779, 71560718], [96228293, 16594669], [91182628, 55201699], [15979394, 20598874], [26711565, 70868706], [2924870, 10513172], [27947265, 30552885], [77638004, 65022787], [1302478, 21049285], [75788238, 16633442], [15921131, 22587826], [78865179, 2397607], [96210150, 63926796], [54679388, 72803625], [37285129, 19296305], [7968166, 89449521], [72983792, 10897033], [39222033, 71282023], [22016204, 40171261], [65705417, 7281411], [5417816, 69903405], [87854583, 60039774], [1961543, 53734098], [10147129, 11038867], [64097933, 20679395], [50175555, 56590908], [48807273, 92384375], [51268253, 18176853], [61361653, 49664160], [34636835, 42149502], [11471357, 41608440], [99625515, 57186045], [73067767, 10667598], [50047494, 77758694], [89294842, 28024532], [49829784, 86556901], [54993757, 85824121], [79146003, 80509017], [23561026, 49003659], [6475127, 56489011], [84789451, 33709889], [62919202, 15248339], [83524106, 90289694], [39538627, 92289026], [91105957, 75645425], [27092709, 96066348], [34841684, 86941903], [60574023, 53301881], [50564737, 30543040], [15742731, 15646645], [95272723, 80436644], [70738222, 17411422], [47540234, 54201748], [76851590, 16910604], [31710509, 68907209], [44364710, 24563238], [14278286, 90287966], [77462308, 72709466], [72011427, 59990842], [66320239, 48439065], [40914637, 89797004], [87321108, 23415437], [5823762, 79534529], [69014693, 42259917], [19722443, 60712724], [80886772, 61352256], [90256205, 71037532], [21746972, 46827404], [57370565, 9615379], [19207191, 97007606], [12705717, 3336238], [84749022, 63614359], [36798318, 17678057], [72722613, 70889722], [90020088, 77899456], [94892920, 56073789], [29326806, 90410154], [60948125, 36643248], [24746116, 89971903], [88077549, 33232082], [28573682, 75989353], [12339154, 5723326], [6794609, 6966213], [87696337, 20122264], [22698028, 91896117], [33672324, 3729631], [12413770, 21809582], [21033385, 67624375], [48699054, 81180679], [94134936, 59425927], [22497499, 8854990], [9380873, 804426], [82422134, 67215511], [46442988, 25116887], [13789297, 53472372], [84007290, 48703641], [14927958, 88259018], [46932010, 69904924], [16262205, 61423026], [99807645, 50618284], [36219019, 13013929], [20517822, 33853036], [27176301, 18901853], [98661695, 85261234], [27249834, 90353253], [93891599, 52731578], [33672174, 9311332], [2661074, 8115665], [27611689, 32496520], [13324954, 24537311], [78823828, 81575575], [88465827, 22922421], [91299542, 22735818], [91747741, 58851664], [28743916, 33412403], [51178148, 50557813], [16502057, 18002434], [42254431, 40841588], [41708948, 55788629], [57737557, 9590727], [15509452, 59433585], [25094424, 46278234], [1608758, 66098019], [16570038, 85947633], [14833980, 78351525], [33658305, 65520432], [70568979, 59914158], [50859686, 51452781], [20908053, 9811835], [38543270, 50956989], [31213679, 43563956], [18693067, 30515675], [21065388, 9410742], [7027843, 3289777], [67799938, 57990141], [13543718, 49977778], [39762102, 30117355], [1695506, 40985004], [61239997, 98057995], [2409537, 69282804], [5653153, 40566623], [43559579, 98145494], [55657435, 86668253], [21367724, 70047532], [87963189, 11055727], [99246467, 55622041], [1996314, 56270004], [38776177, 45500808], [90510261, 73821374], [86241269, 4074548], [57820812, 26505326], [74897042, 95703132], [48590820, 82630986], [26089325, 78313668], [62800746, 57644337], [96978180, 10668878], [82201270, 55713930], [48867899, 13781486], [56601592, 51819318], [30072684, 84780181], [17154176, 56027623], [21517080, 85386856], [24734316, 89197617], [96325556, 34963195], [35211881, 35609615], [46374707, 37310799], [23021808, 39080850], [82927863, 11585436], [98134234, 84746247], [83837449, 61697390], [46076497, 11499183], [82138933, 85035373], [65998329, 93219160], [20148369, 97248586], [52281774, 37783068], [42740045, 68059315], [40607419, 45607853], [95693114, 83760836], [15462363, 75955170], [5671126, 77004171], [60716789, 2657799], [70290245, 47440331], [60534288, 63952559], [8951817, 89714282], [11816483, 22751350], [71340491, 11506248], [1792745, 4190460], [80017225, 25586625], [85876377, 54401624], [57119374, 55705175], [90789938, 2524848], [89406011, 66220901], [54470127, 70749873], [13612496, 485573], [29552845, 26567981], [44489170, 38141750], [97486762, 41165613], [40537812, 73309446], [93778785, 87186539], [94509670, 7371387], [76060052, 67102268], [61778320, 60706568], [49849518, 87586937], [66374950, 62438307], [6544264, 73551704], [38203144, 98220414], [69474944, 58381031], [56873393, 52645855], [51740990, 6524579], [30726076, 78882651], [36872040, 90632661], [85745765, 2217688], [62972929, 77279675], [97502529, 5995784], [57425744, 18792500], [28078044, 59328058], [73217669, 24320364], [78440000, 50211476], [87905848, 63170303], [37044751, 15726050], [25499064, 23963585], [23211800, 97205702], [1948479, 71292323], [96566888, 90411238], [96178419, 15305776], [9303822, 73749136], [76756668, 97738919], [58729924, 39686727], [58587176, 97854328], [28013645, 74268423], [50191618, 2359689], [97198091, 98773309], [11477822, 85507651], [54877243, 49921410], [70778416, 46827566], [77577533, 44467374], [53184903, 76289161], [25863706, 80615151], [35050892, 64404276], [52911896, 67379694], [31243880, 61345593], [43616443, 72484571], [46610310, 97914996], [87752215, 17317852], [64615990, 30089208], [35177523, 97840369], [70220480, 75941012], [26170279, 40980520], [21254897, 77547717], [72719927, 45595246], [33482465, 84016607], [57824885, 45945318], [12743051, 56552526], [21196195, 51839114], [8260151, 55675924], [16134592, 62919543], [70251666, 28247349], [69018365, 45581309], [81745164, 58193932], [72132690, 66483925], [29326164, 58931358], [43725282, 51483479], [92766456, 20783123], [65603942, 90338891], [90736656, 45074025], [55493219, 28692606], [61011480, 96963172], [44484343, 26914731], [51454657, 38187839], [84852169, 99638895], [27692470, 87852407], [54547546, 17882465], [72494457, 71434327], [96053149, 32191827], [73182999, 27193550], [15976375, 46754580], [58716176, 68351254], [38726547, 62951997], [14594773, 72040726], [30975539, 91586187], [73647182, 14995650], [66740388, 99615751], [33929648, 55374518], [95426767, 42269772], [6158716, 83183964], [26283116, 71115014], [31555748, 25321138], [6016849, 79359500], [85128214, 12798376], [70398773, 91930966], [99477214, 56414920], [56749983, 82521791], [26392529, 41122934], [35557927, 55530267], [92746321, 22735176], [15007000, 15548339], [18985791, 80377574], [85427394, 56966503], [93530551, 54982200], [46709669, 27887893], [60003574, 46334949], [7579031, 43687978], [76362705, 1688300], [76442770, 32873416], [25687614, 57462169], [4611801, 87245726], [94737129, 57525772], [63438236, 85897638], [75763363, 69990354], [62200585, 3733837], [27598323, 81115567], [38903737, 93622424], [95056011, 11273085], [37782182, 85981553], [87908010, 52346327], [72802180, 18290440], [88143784, 84177062], [11914852, 78243384], [77521285, 47078445], [81324911, 3365287], [25432816, 81816553], [57630591, 94323183], [66668790, 57498164], [28541583, 59187596], [67434683, 29690880], [61539409, 75759559], [74511289, 79618112], [66137339, 79737653], [82314686, 45620636], [86002238, 89103799], [47494449, 29089839], [82303745, 65202673], [36057400, 10470946], [30603885, 42130560], [56182803, 75077512], [89886499, 89861794], [53270518, 56082645], [71889310, 76295531], [45718148, 4260671], [66213451, 28391860], [3941261, 20761977], [65416581, 33215940], [76963157, 23255611], [3318156, 25100138], [16585389, 86046287], [38127935, 44836070], [93384881, 40297459], [41918180, 91640212], [65707309, 80462103], [63291595, 71311381], [98599475, 94624404], [45067890, 34362978], [31162526, 26845969], [82042942, 40502182], [24035094, 44754263], [46900539, 4042888], [54861862, 61991143], [21986836, 88673293], [73412811, 6273025], [94373587, 37457266], [25470246, 23548692], [90645230, 41848166], [49625640, 88111584], [71561389, 86498909], [99896138, 93865307], [44076059, 77575642], [5846323, 53742377], [54636460, 19165674], [198501, 9421144], [59782254, 83999882], [45343947, 84924016], [16325938, 25864740], [72869291, 41099717], [63716607, 92414744], [26804778, 90217332], [99211041, 12632961], [30504609, 92513181], [787093, 25748221], [32542497, 77427671], [74659482, 12316811], [52672559, 73596145], [59232225, 26169145], [52141439, 2267006], [54662454, 32390658], [94355081, 25709388], [83409657, 92596624], [33820118, 24932128], [73110707, 5534601], [48443557, 42601892], [98832133, 87415318], [30672857, 20157695], [40448989, 72443556], [84907660, 35576785], [98634325, 17830565], [89610865, 83361004], [37727189, 51640554], [571551, 50245306], [68997886, 70095497], [26087110, 73132188], [92857400, 4781903], [75730571, 47351779], [75969843, 87464219], [35426925, 47582498], [88804774, 74350692], [23132702, 81148682], [42014199, 40849707], [68034558, 69338921], [48097000, 13666282], [23543985, 10076034], [48810278, 10834407], [36747283, 82051870], [69099353, 15259822], [22426735, 50197695], [6464772, 66453701], [25796709, 18195616], [84701252, 32582967], [50548077, 32278980], [47707295, 1748969], [99719988, 86715042], [29705198, 5203534], [78242089, 55421727], [96967005, 18737786], [44777183, 75546493], [72369912, 47283250], [69833407, 14124678], [77398567, 12662545], [73996085, 55454482], [39345777, 84284536], [49184927, 93246528], [63907712, 98967839], [1893259, 31378010], [82068848, 19970994], [99378288, 33193247], [10374646, 62860859], [92887570, 37151760], [24512234, 86928512], [82806318, 37018546], [80744142, 96001385], [1178719, 61131312], [4475101, 13976470], [8541790, 83133819], [84222924, 67467033], [31264349, 55260448], [26703069, 28808983], [1528759, 26881015], [97533099, 69366524], [95908150, 6268875], [7508622, 56497594], [55198281, 81700411], [34348290, 9557990], [83247159, 85012265], [12507552, 58260001], [71013804, 92777450], [39953602, 45939905], [40264122, 7491911], [43165111, 36779674], [61394900, 37748386], [46394431, 95688627], [3347515, 71614047], [28998992, 43952369], [71857170, 53258770], [15203517, 40022925], [71305759, 4052725], [53971974, 81304756], [29115938, 36893877], [55069019, 92609554], [97088501, 53251952], [53454304, 94711604], [89979075, 25612646], [44538849, 34407383], [85352847, 38035045], [3615497, 57527607], [88293067, 62363391], [97278090, 18068043], [88781966, 99859916], [44024533, 70023140], [88660241, 8658946], [19165582, 70037604], [60091030, 99404423], [41395036, 87817530], [62474888, 27458331], [87176876, 85159679], [27676879, 72288032], [91032944, 88689324], [977784, 30112953], [87148314, 89268890], [3175370, 97852144], [9971812, 59181627], [50985418, 59888102], [13368579, 22987386], [17753781, 57753221], [47851675, 9916939], [16277028, 133348], [80910251, 77237149], [16491617, 59026801], [19832426, 83351681], [29270711, 48809306], [98918151, 25388623], [49426750, 99725815], [97816580, 95529340], [76411812, 10985866], [81365206, 49428028], [32776010, 74321568], [66750357, 39971825], [56916271, 33218598], [81766569, 98539928], [42937795, 56887112], [31807097, 66027854], [55318267, 91665373], [77641087, 91728427], [81138299, 33451390], [93991456, 70316345], [86194612, 53626262], [47311066, 59601730], [28482611, 98432553], [51669493, 93854872], [87583010, 42541096], [55982350, 16031713], [21352637, 29824895], [82408369, 88771134], [32992558, 98449835], [23226312, 67085350], [24284370, 6456042], [31605303, 81052574], [78997269, 20002474], [7469493, 91364036], [45600973, 74547240], [7627781, 10646720], [97920919, 23593221], [124297, 21870589], [13689497, 24671701], [27682913, 27361264], [76006608, 10943261], [71407359, 64529891], [8818848, 18336518], [93645522, 69953009], [18762980, 22222602], [46154832, 67521805], [55195220, 70067065], [50370241, 4719274], [82856569, 65822249], [19131640, 17297601], [54787954, 34565977], [67890403, 54664073], [36595529, 44777937], [97175658, 36539607], [31727676, 55953667], [29667729, 3475990], [31531614, 33959047], [94279240, 33809609], [40125310, 18304053], [51266130, 60161074], [28413871, 56644635], [11658908, 56858798], [71895675, 61081633], [75962752, 50501103], [64194757, 74734837], [52948216, 8971992], [16334167, 70202123], [24499814, 50990292], [70962824, 3665359], [57046706, 57891255], [81031065, 15788045], [10872240, 83066278], [19579518, 64387836], [43140524, 18656902], [80174114, 72212184], [52576303, 56096558], [34260119, 88551112], [49992032, 77013199], [81233480, 54806511], [75308907, 76214319], [51923528, 89649555], [58294822, 84163274], [25253644, 72462957], [37874680, 94748308], [48210201, 33729866], [21634748, 65442663], [31380239, 75164417], [46677955, 11818958], [34126428, 69220156], [23682860, 99937988], [5787431, 21338724], [90257004, 58475838], [39920790, 48083489], [71320518, 66072615], [66497088, 26384608], [65379720, 84171326], [33211464, 45232928], [79051050, 17558412], [15566991, 71924944], [53854949, 39389868], [69924141, 8194576], [80862173, 99230899], [44971450, 97661911], [36564271, 77353271], [40909735, 17460060], [69351139, 53681250], [78847142, 24265339], [23380555, 49881020], [2410582, 19735408], [59505982, 48630063], [24911706, 80614965], [66079610, 53682379], [35182101, 3797829], [8211705, 51074815], [4967656, 14370848], [63362237, 13882171], [92970945, 94810225], [21976172, 53323534], [35047923, 20493779], [6260754, 37684061], [92472034, 77363515], [99287396, 56540704], [78765483, 45023436], [73330624, 25542371], [55735740, 62786060], [96007585, 69283021], [1838710, 89802992], [92240753, 70612900], [12892839, 77456250], [20730861, 39098839], [36278768, 82036482], [83959003, 73909146], [10159847, 16437244], [34355791, 24144044], [96891036, 49135841], [464171, 93367547], [61173544, 57089251], [3858548, 83590861], [10032298, 56920157], [78340596, 18082918], [39560228, 47855313], [78285848, 34915551], [54656527, 531253], [36838590, 46792105], [92070935, 68654275], [11524910, 70040784], [36173870, 51293083], [21695411, 92930939], [26142720, 49605528], [29863711, 72547455], [97110805, 23401456], [67275851, 78184692], [83775026, 36907975], [10553347, 3037944], [38008822, 18464150], [24415074, 36499289], [2193461, 5055453], [94376134, 50837903], [75333080, 8355467], [1909490, 26550827], [74885780, 78782609], [39620127, 48876589], [88447627, 20840908], [10831616, 36594903], [45638369, 76502806], [95425621, 18819419], [76523928, 96142458], [34975012, 5213176], [28949819, 94532083], [80561973, 45254891], [96629871, 33063885], [93070157, 76093348], [18390285, 52665634], [43426445, 64167086], [28342094, 67881634], [41217082, 37376246], [65388055, 81507533], [86867531, 24768517], [85147839, 14346803], [8216460, 27940090], [54115027, 40146657], [30481122, 57514269], [47890429, 38674079], [43323980, 71450604], [40655366, 91398048], [108632, 18177067], [75327211, 41723408], [24090000, 67801858], [78941038, 2534017], [61500483, 68003168], [75276960, 71921021], [17752672, 86599767], [16558825, 78312283], [21935467, 53535286], [24209492, 75940910], [4736712, 57253133], [78695587, 40944412], [79240690, 36787588], [12983247, 25597054], [97803736, 82339452], [56253935, 74832730], [80628993, 72956204], [2353799, 18867820], [15579945, 44150290], [33502152, 231947], [56915574, 44875767], [52779185, 26009328], [78667124, 92599402], [17838702, 61165114], [8538644, 50943947], [67252103, 88865239], [23784064, 820582], [65906050, 1041951], [20880419, 78103226], [48178517, 47947091], [42255065, 66213193], [29867280, 68774679], [41355655, 79270695], [66164190, 679800], [47302196, 14654520], [84617718, 86782547], [52040408, 20845582], [44090826, 61809877], [68058688, 15933597], [72502027, 9912653], [95552881, 55622050], [43622697, 58718107], [11850995, 22465823], [12390595, 52011639], [72664816, 42137504], [39113315, 4729324], [2403012, 24791026], [17162623, 51959395], [27859206, 86168094], [96859321, 1649391], [46935701, 84608016], [66547469, 48245299], [3661278, 41104751], [52539190, 64739281], [50472794, 66932524], [26579177, 90032786], [19024144, 58363428], [48134667, 74156198], [16577223, 54744765], [70107379, 54117779], [95812191, 84949297], [98129972, 56828014], [83948369, 93691071], [70902593, 29749877], [27269368, 2783706], [21633632, 20224466], [72175693, 12766942], [17225802, 81853062], [11828346, 67973441], [3720134, 29173804], [77386994, 595999], [6616119, 74870572], [50471126, 19016099], [91370060, 53341980], [2946799, 64242531], [53166809, 18610011], [28450554, 20526205], [16096022, 73653622], [6865258, 99214152], [19675286, 74127257], [99644268, 85928769], [58902890, 27061223], [36885755, 62723140], [57766036, 82448829], [40258137, 4240944], [58844010, 74436137], [16072310, 46733977], [53241467, 13976231], [20802051, 57871273], [98716668, 95611195], [9561901, 12625079], [96033241, 19343508], [79627305, 69048822], [57969485, 29841261], [59038444, 17475635], [74214514, 73116750], [49378843, 12993966], [14077920, 30344497], [14107519, 41723782], [90828648, 8160347], [24878089, 80604375], [20693079, 78713762], [40523622, 66484612], [68393676, 45622066], [62062559, 27165971], [78378985, 92889495], [98134753, 25915125], [66344801, 88584713], [83937449, 21799668], [84141125, 77267604], [4751815, 73712578], [63141439, 85007047], [80436226, 57292330], [43579998, 94904401], [77719553, 91222752], [38453958, 2182202], [9749366, 28471212], [64661863, 8342592], [30007847, 49865742], [84021860, 66924085], [39082141, 79320679], [33198683, 86859765], [67301874, 43348311], [64457990, 20514051], [11511998, 95994086], [11248598, 35909812], [89816401, 96059798], [77452945, 20177695], [22403862, 82150928], [41225007, 49453107], [69475422, 26088567], [30819587, 56086264], [93273130, 92877436], [3819669, 32934931], [89292577, 23152007], [42995945, 89575952], [63666369, 13143358], [28807458, 76352916], [5219892, 19959783], [42489643, 17231246], [26830180, 15808781], [61193634, 10773294], [97821030, 45493948], [65604234, 29968614], [82127737, 51028239], [64420519, 37527437], [85550411, 40891563], [50133134, 45316352], [35487284, 31745977], [51697303, 58832567], [873694, 21138424], [8843226, 68108779], [95415807, 5525660], [76207752, 40936842], [48473290, 94055449], [76235764, 13339979], [56976865, 92858187], [66120293, 28878553], [14436332, 38783932], [17759579, 89066590], [36109496, 48226417], [81387474, 39299280], [78961137, 63999083], [3970873, 24857254], [93396330, 27281180], [41115376, 49301062], [2345249, 16985326], [1798810, 52950002], [35156944, 37504630], [3049298, 27127561], [79391932, 29472548], [18872585, 90430949], [21949911, 71886601], [37256848, 17340757], [10161981, 22616052], [22759851, 79734616], [82448059, 19967672], [59749248, 94515395], [885505, 31483304], [21000332, 5714355], [56628825, 57737204], [61336481, 15636131], [23998469, 20554527], [50253612, 68656773], [87980883, 47004507], [71877306, 12988208], [45889692, 18311394], [80597623, 40803768], [4034809, 39190597], [68092312, 56446539], [21605226, 42228934], [17816120, 83868323], [45169559, 99737699], [3005855, 81744957], [87159625, 64103758], [34319005, 25694404], [74242007, 36461791], [29501128, 89949144], [72113380, 23009272], [30721828, 38599263], [79386047, 202303], [35244635, 83399467], [54580163, 37414844], [51527038, 17666928], [53542105, 40484207], [45809205, 69471576], [49330282, 72061545], [42640492, 39426437], [93754496, 82171566], [6085835, 35943047], [5700016, 10740497], [13576119, 11777109], [51513141, 46063237], [97411878, 64092169], [33941081, 39114163], [20899259, 53409991], [53413534, 87132796], [43703923, 73276850], [13669247, 68760872], [50946470, 28044981], [90398516, 64163257], [41967032, 29466287], [49665958, 9217408], [22617859, 84481860], [57661093, 98993672], [99928110, 69404345], [1202287, 63158621], [19854492, 82886098], [75616152, 48065166], [67805637, 98250888], [91159867, 6598148], [67797088, 18026381], [34649259, 76793171], [85134818, 94976011], [97906755, 57950102], [73160133, 17058647], [5423946, 45935433], [96522668, 82432100], [62507959, 50322372], [4646639, 69260405], [33688669, 44296900], [47296852, 58621051], [19076957, 88336687], [25681055, 91537258], [97610428, 49380196], [84681687, 68757741], [61050967, 37382609], [49842261, 67934469], [22260109, 37591384], [35157325, 33309029], [93186119, 56552069], [21177604, 85984041], [45025452, 38681239], [63219288, 94117134], [47440824, 60911249], [60983744, 82358495], [89111022, 32740893], [27807227, 39225570], [97943583, 62802968], [90865771, 20728055], [29635690, 5524903], [46411801, 28158696], [13480666, 15854870], [25952669, 9204735], [63148486, 2565380], [6987643, 19465235], [4528992, 76559763], [64422053, 45889097], [98484028, 94185928], [28685845, 88492420], [20635260, 71328022], [45606425, 51621085], [82782499, 60529416], [16925065, 18587783], [13033443, 22907770], [71702356, 23793582], [10448689, 26423274], [58216093, 95828807], [662057, 1981573], [88145839, 52372097], [14142937, 79728019], [52010727, 19126603], [2183958, 92741386], [88754485, 10560098], [62594528, 4848895], [33157665, 42729618], [80454267, 25318545], [63558050, 35376217], [98608258, 91416589], [29553564, 31512399], [19712872, 90971890], [87156835, 11282184], [58366656, 26157906], [75880833, 24620536], [36631178, 95885636], [78461258, 95315410], [67193749, 74935236], [10720986, 77348247], [70232926, 28887353], [28592429, 74365136], [10751666, 97898636], [94139047, 9628678], [26081377, 25712795], [77128620, 89372737], [49845006, 58179086], [64912411, 99844755], [8706338, 30225575], [66868589, 75694488], [92084309, 28439284], [37182823, 42581494], [40116160, 41103958], [63677639, 2274892], [77858824, 67229051], [33100070, 29771131], [48935846, 41481369], [97820073, 16740173], [13519023, 17251216], [78886656, 24662910], [76591327, 10302841], [25679340, 96404389], [35731856, 22338272], [9780407, 75131965], [55246713, 45800056], [38771277, 98716686], [94627688, 63327352], [23366262, 14148700], [40681112, 79848990], [88457868, 16364230], [70479235, 63602643], [53008250, 31533301], [41748187, 31575724], [90243975, 97216188], [85037208, 51242094], [19843009, 40518602], [23163373, 24154526], [32259149, 71313531], [98428737, 64484], [27897969, 17544064], [15181357, 67443833], [85629077, 38904456], [18887720, 85848211], [62400974, 57770313], [73799664, 53899325], [9617043, 34782176], [79764262, 20760338], [40761964, 67014091], [81126243, 91835005], [44025309, 16590025], [31941529, 72818662], [77592983, 74774059], [49247924, 40488130], [24109975, 73469573], [25504602, 68734703], [86899531, 1774448], [55319995, 41010125], [41887699, 10215311], [10468067, 56160655], [53384474, 35880630], [47404717, 74275691], [85321007, 94611545], [52661190, 433959], [13254370, 55431763], [59741125, 32157592], [78932626, 66365840], [42752686, 54134816], [38945796, 3913843], [21251850, 44248001], [59227649, 82959749], [81147277, 40952009], [85936096, 63856763], [64989468, 66189274], [62279034, 6970377], [32418448, 79723033], [29881581, 44261230], [37822300, 9275342], [98847116, 86147255], [42988612, 46732423], [8134628, 13768550], [78396281, 14247824], [64984043, 74533538], [41206814, 48587884], [81604855, 1337010], [41306240, 72960140], [36908372, 99213280], [58485353, 80790268], [79419764, 6966016], [14437131, 91038150], [28515040, 81921065], [86496373, 48560810], [92259579, 523366], [32665183, 57747769], [85978730, 77652629], [50474902, 68404123], [18979503, 65274424], [10475033, 68690637], [52862793, 63965374], [28960224, 48519127], [72761970, 46171579], [8156367, 63405409], [61338428, 32464522], [10376615, 10349104], [17590280, 19630790], [968289, 58667732], [98755339, 84413590], [18903603, 48248660], [95781911, 33565130], [87061159, 69146969], [90507603, 94384223], [70830881, 51844879], [73870048, 47672118], [17225394, 69423475], [72107419, 62826527], [56981413, 1700393], [96725310, 73739733], [83799392, 92325149], [38205381, 89707164], [25398135, 66578667], [47813236, 59035528], [98884702, 41049766], [16162167, 54360816], [30644421, 83677427], [63576438, 73490255], [81394300, 83464261], [87134501, 82084791], [2582588, 20308439], [98313607, 63205908], [97858723, 64721289], [84720213, 13340814], [51675022, 81488507], [70858149, 45170535], [49976576, 95026760], [71011502, 54561967], [62644526, 8184043], [91370795, 12666310], [93230597, 25600703], [20061151, 10609741], [29071622, 69713319], [4703353, 84705244], [545980, 9692279], [1592398, 83631747], [47753472, 70022228], [15148086, 80525729], [71714187, 12501678], [693731, 17254974], [64381324, 30615179], [82937259, 5818592], [80786368, 10636420], [12397334, 70756941], [86326527, 70654729], [79082612, 98848615], [96359005, 89912156], [70109997, 65735873], [52253676, 78908714], [74838690, 40819826], [69180125, 89211155], [59887761, 32802929], [13356307, 78512951], [5674303, 1453660], [57069835, 12094642], [88074016, 45811178], [52706738, 55922133], [18970452, 5853472], [57066617, 87265851], [83224824, 28615442], [2314170, 93649112], [19812067, 41536938], [98529311, 49119907], [22227392, 49663044], [83555724, 72056818], [18941478, 75139070], [99837801, 14935030], [604552, 95180365], [78067120, 89362762], [3012373, 75415384], [22205472, 88177013], [12383875, 36587801], [76118893, 72654278], [64282968, 74552052], [72378605, 24096924], [74529693, 36454868], [3864998, 76029585], [64297190, 59119447], [69955113, 21503634], [55250566, 2224841], [96911781, 66254765], [13885561, 88044606], [99619180, 94579830], [67592753, 21052995], [26838341, 55709293], [82598700, 13386574], [86515046, 98905764], [84691198, 20082807], [86717623, 16449982], [83275721, 37897068], [72206776, 11095228], [38640015, 99463128], [24688182, 85038347], [96459885, 77599768], [9614254, 9969189], [1092550, 88986993], [80881918, 32594339], [81858896, 92759233], [398916, 25506632], [99198436, 71399853], [97950301, 84071492], [97196159, 31058854], [22640782, 54033797], [30475436, 76761870], [68932350, 96560010], [54086683, 44705762], [51616658, 64040503], [83116139, 6736265], [94267538, 83398069], [78773532, 8834367], [74147049, 77792435], [37968888, 57994312], [92442250, 4847043], [37890206, 74181484], [87870508, 84773575], [13166604, 33610448], [17953122, 80710147], [5104817, 4887417], [58893082, 83681541], [2076652, 88005329], [20587970, 42603425], [9542808, 19800723], [4446107, 3716859], [30516106, 9480834], [62874567, 42503361], [75336978, 35508657], [89325481, 85457938], [39023972, 46012964], [22375762, 21024448], [5868151, 96718808], [89894218, 66671815], [32709741, 72847296], [98129742, 33298844], [91265045, 52146809], [94655697, 50851773], [61196124, 91069784], [83970631, 85975293], [28117373, 91004000], [33698611, 98623204], [82660698, 78681354], [17779759, 43619871], [35484400, 84530752], [34694108, 94240882], [80786294, 14040616], [54581944, 97913005], [74167509, 62150947], [84554538, 44222665], [49863307, 3932477], [24268932, 59340549], [46975428, 2361455], [2020649, 29665325], [39121107, 44413938], [87617815, 98892996], [46383928, 13029279], [29075477, 24263948], [47529963, 55989078], [45903829, 40473030], [76920958, 50542170], [64131677, 59025943], [26988462, 67436650], [7857992, 25238104], [30353674, 50468688], [81694616, 62332567], [33781217, 20478362], [20320883, 45863485], [91941862, 78619854], [45227383, 43387397], [98781588, 17293301], [68590627, 98895158], [7139426, 94680448], [97076926, 41328772], [65642789, 16097312], [89401357, 16454976], [86764557, 93176139], [39552634, 80587114], [51389859, 47998055], [98039629, 98714418], [32402222, 4150845], [32524105, 78098729], [38639182, 53638442], [47437229, 1125921], [24989706, 16430523], [48769053, 65699695], [28795332, 80750793], [1907992, 92712856], [62558059, 56976281], [50022335, 32779990], [19343053, 66484131], [72198812, 49466019], [84654236, 32379278], [16292529, 85483298], [29939762, 44797497], [85177928, 99686486], [26991970, 96176830], [38862821, 20043760], [69105951, 41166956], [422012, 66360154], [59333052, 59131985], [93458307, 48371358], [89615404, 27660903], [61324063, 96986092], [98483158, 83207819], [40949431, 32792987], [24022609, 81988959], [11476340, 13193461], [87155031, 25067007], [67806493, 31797662], [76638924, 70724894], [49507849, 31207553], [97972882, 37755400], [32147654, 72595017], [7155084, 22864132], [24290755, 44107467], [598579, 51419820], [60873806, 61824618], [13388103, 38364823], [25323234, 90417297], [97727827, 37652405], [95923875, 76296984], [73904401, 50950637], [12494896, 32293472], [87031150, 50962569], [15736530, 24809388], [6498762, 46330146], [60822802, 58153345], [4087751, 19861782], [59765199, 48502540], [30150396, 17718879], [86924445, 71762239], [79953143, 93411067], [3584009, 39040798], [86911700, 46243053], [34430752, 97404431], [91215402, 81911503], [34254820, 41704236], [68234565, 74328649], [90523481, 53006537], [26025752, 20973410], [70649374, 43859319], [21407147, 73773319], [68278255, 50793757], [36831110, 41835432], [8912665, 68020696], [45180207, 50605962], [12740803, 85044585], [3056113, 97664157], [4622868, 71131278], [73366303, 37773225], [38171808, 48247141], [39561546, 27477524], [97592011, 53794023], [66955643, 4698308], [45914844, 9353038], [58472959, 48868642], [819819, 73606808], [83673044, 37813050], [82904043, 26659307], [32540929, 54181979], [96993802, 87653395], [27412227, 23824367], [85851278, 6008001], [11676049, 3734645], [94668663, 93131373], [8593625, 84581955], [10120336, 80833844], [41896653, 73577988], [86041335, 2151390], [15247883, 87281991], [49924032, 6421383], [57663526, 98350155], [1648406, 37894419], [66044201, 37859321], [57134745, 97660907], [13843892, 83533112], [55097055, 16961151], [25400235, 71630571], [45178404, 12943282], [66710188, 65532211], [47767685, 57416416], [44592541, 46348938], [68618535, 83392733], [7227697, 11117138], [82318017, 83705661], [23123193, 91476499], [63215939, 63321777], [6032196, 99829539], [52068735, 4117759], [5031150, 69465728], [88392746, 15785505], [67865633, 99777430], [26013204, 31093403], [27823751, 59516646], [96726519, 22131946], [13318529, 63054350], [87432079, 72789050], [13505791, 21177575], [56275628, 40318747], [53408103, 94877323], [641733, 8614854], [7137211, 24723763], [72634266, 378762], [22262451, 17151011], [36107867, 67866416], [89017114, 64958605], [55063593, 17454801], [53911302, 40139250], [49932713, 3827600], [29687932, 95134834], [52944239, 74023747], [63487023, 74168204], [9648548, 4947323], [54592541, 84390313], [50732510, 68687061], [66740571, 98464453], [94155071, 40918421], [31584866, 24788330], [60520823, 6379169], [58179697, 17890566], [12623311, 16193190], [54211083, 20217681], [87296495, 91010494], [27841488, 46325720], [95215361, 23158533], [68357389, 17271394], [32736907, 84272713], [29830438, 29410230], [44403842, 70080120], [40556872, 31401549], [8279810, 44715113], [40309838, 30326791], [73605142, 5908468], [88245417, 47209544], [62193284, 18236282], [6945913, 48745879], [58013985, 85988723], [13093031, 9292922], [96917046, 35118383], [92139033, 50297123], [45978510, 69090898], [69450479, 3778315], [21975834, 31628725], [18009345, 65037785], [26793714, 36890189], [88601856, 4093626], [74468853, 57455784], [81194017, 31512545], [81247418, 44591582], [82665301, 55719782], [36081237, 46493145], [99994661, 97366855], [47673249, 99351008], [5545133, 27628222], [35837156, 36943036], [94431322, 67476668], [21064105, 83916334], [3002003, 94186581], [96281277, 53920136], [57387709, 25612130], [19330596, 62919343], [33643213, 69494332], [26984393, 48566414], [74933036, 62891089], [31643809, 63369906], [78191793, 60463897], [59657383, 16143505], [63993382, 67343352], [87865788, 30553819], [21258982, 24900192], [85283574, 33573782], [54532743, 24016264], [59745259, 19881035], [68560674, 99502932], [13732913, 64262630], [15382039, 33748683], [42158693, 12672155], [69692649, 24066697], [84013135, 36403272], [58021893, 85304828], [76457753, 52282605], [38803454, 6849118], [20395127, 24103942], [65905019, 44854343], [16351049, 88453565], [89068263, 68914471], [75085005, 87305593], [35850778, 15997565], [42781527, 8403668], [26437469, 55983331], [93757810, 66488506], [63752476, 47326306], [79025646, 15228390], [9968593, 64821965], [15529229, 29664084], [13787614, 24435798], [74319480, 53274579], [60843280, 34620477], [37882196, 48555895], [93392478, 80158137], [64952979, 43455206], [26047333, 48379860], [61222754, 45680629], [57971188, 81584023], [91738665, 33366666], [99046195, 534586], [45682134, 64158719], [21308981, 82400901], [30791940, 8420998], [57819997, 65325524], [51750809, 93496993], [44218423, 10716407], [67453757, 35661102], [86754612, 11549289], [25874471, 67444311], [23184963, 73764599], [98392760, 17455822], [44366718, 95421109], [6762255, 36976727], [77852921, 66440181], [34243759, 23017570], [98016131, 58723034], [75767577, 71504083], [83067113, 59601640], [63951087, 73009126], [68023745, 29317432], [91047994, 86034284], [89931336, 26212121], [15890889, 32268193], [7430977, 79027145], [38438594, 87740381], [94452267, 93830965], [70544395, 74186844], [59654466, 76395425], [14515796, 70217799], [18059041, 40971572], [30941410, 42719899], [16118020, 98023231], [24499490, 71800231], [96487987, 28012284], [16821803, 9987965], [65224530, 32640741], [69691522, 68263726], [34225073, 99987108], [92258592, 60919832], [69699282, 64256726], [96596366, 29349023], [627863, 96598012], [63826777, 76544450], [53390898, 80695281], [8308825, 41172228], [18571072, 87217932], [8371351, 3515579], [96872149, 66189397], [37696949, 61437756], [81137375, 88462880], [25937741, 30911672], [89578439, 73438110], [70204177, 76206704], [16165337, 15311429], [41001757, 35023101], [57744963, 59960776], [79504331, 38374938], [78483654, 88892914], [82135470, 87566460], [2175665, 98039616], [86721994, 40754107], [98704805, 39576470], [66026248, 57503385], [93813789, 36155565], [26026307, 62305206], [18569348, 78777719], [34334824, 3018833], [54969954, 45791497], [29250712, 8563778], [96071551, 79309475], [80056714, 52284585], [58318516, 32738361], [12022061, 75671896], [61696882, 58103060], [82807749, 30954901], [74272081, 92093758], [93377505, 75076256], [26204590, 17879811], [15637929, 54606749], [24370015, 84268167], [33376764, 55684685], [29885596, 41048471], [50171434, 37485146], [31242418, 56298264], [47505768, 45050837], [17305680, 67745436], [93756285, 77222789], [14555709, 17298263], [29306016, 86200185], [98239973, 75173545], [29831346, 82540980], [60574218, 63490771], [98390202, 63154949], [17854284, 85198425], [30247428, 81678669], [19586077, 64207630], [12910669, 61017363], [18271036, 44315614], [95430233, 17254199], [61119954, 80047481], [71095780, 65286394], [68621482, 62938345], [99581744, 58971781], [10898602, 10711568], [76454272, 41799005], [74466873, 34163326], [18009269, 88701585], [89976332, 4131300], [65849547, 96873067], [54866331, 71011943], [79130933, 65951457], [48301137, 55531109], [13023916, 47399130], [55883199, 31381061], [82094439, 96481236], [50937950, 95233622], [18470480, 90922917], [67834167, 14488845], [78589899, 46742209], [86080413, 80017133], [65939683, 49261947], [54696492, 4958769], [39606306, 916185], [59735498, 27150248], [38808952, 20860636], [40782147, 71861554], [77911493, 40870902], [88970534, 37127293], [1058785, 36379798], [23773454, 35405030], [52167652, 53293791], [61553573, 41834029], [55828488, 5482067], [86071819, 79823375], [27551039, 3262679], [18951773, 67530833], [85432728, 53105923], [75424162, 50029037], [97865094, 73381847], [52642556, 29815644], [84102150, 13772409], [22546196, 64056865], [55722296, 14086565], [60551239, 50236992], [1744425, 55739455], [39165087, 24871818], [76505137, 18630472], [95132970, 28716467], [15290479, 56446079], [45678247, 68058770], [57352010, 93471435], [5542447, 55275292], [25731876, 61479264], [27345690, 58179392], [43447507, 1352433], [46727674, 14073386], [10817335, 39748293], [91882638, 68586048], [18171627, 57392997], [50275056, 88940353], [70267106, 91629622], [27429690, 91049652], [31030322, 104573], [56976059, 92255214], [5554457, 17468060], [57184737, 85484043], [5616744, 96483156], [59774384, 79682196], [49934103, 89479019], [73416882, 13561944], [77173653, 48323049], [37178364, 74834230], [71452646, 94659868], [5227843, 15786517], [83404344, 13820503], [27692645, 8267132], [62730111, 94820909], [81265251, 49294671], [28036212, 30389964], [87856391, 5447615], [80729717, 13245802], [24443541, 23628364], [78334537, 26357561], [59987688, 78355948], [16046771, 70052606], [3892159, 83751168], [7145434, 33438559], [26719820, 69101079], [70494250, 40509126], [16970122, 65640619], [23314174, 77862653], [52099063, 31190765], [60051495, 34729341], [5935488, 22518096], [37488203, 60726304], [25456014, 61870374], [91108166, 49300671], [88855512, 65697256], [44731380, 81740222], [3514457, 59969834], [1201853, 61570846], [48506417, 64853781], [75720878, 36690307], [8720916, 97104049], [14440278, 69260202], [90670210, 95058555], [68560464, 77418324], [58869176, 97962460], [96863655, 27148955], [7401023, 24964633], [97081907, 80239149], [33502583, 20915099], [84767968, 99185776], [67372412, 78282257], [79855439, 50394424], [74539441, 70781654], [98310791, 30740193], [9300180, 26630366], [29202398, 48775295], [40462309, 28276440], [31643560, 25968264], [44907941, 27562932], [5583789, 44930210], [88708837, 65794446], [47483029, 15414166], [77733727, 26278122], [25997384, 89606683], [91831101, 24446781], [44610576, 53264731], [46178455, 73073861], [63056461, 98967259], [71479967, 25409950], [50848263, 67376802], [50467443, 34471789], [65807866, 8276608], [72244160, 77510933], [86293406, 99028221], [43647355, 95452941], [5386526, 50373781], [8543283, 15851794], [92655537, 42262852], [40742412, 91798648], [1319636, 1019251], [26125940, 78786526], [80760196, 33102000], [25898678, 68697856], [53438539, 69052450], [88714918, 63335271], [65920808, 48726642], [58009485, 66909522], [60608432, 19308608], [74513371, 65418699], [29719165, 62362833], [84635282, 91550248], [66126409, 39549768], [60535691, 86746400], [37709733, 31857127], [24694047, 37202961], [73454945, 89824319], [53149253, 66989655], [72540117, 27758796], [42393232, 21822431], [44791281, 13364612], [10136666, 49855045], [64996025, 49975257], [31548404, 82753481], [20333912, 17390968], [7402273, 99653003], [81210918, 70775107], [11175373, 75999598], [23220074, 38101692], [13160650, 41238709], [90560753, 80804732], [41132882, 32664076], [24935738, 24149058], [58320332, 69583885], [57589554, 31111009], [48255753, 21547083], [95182679, 83970013], [98171776, 57922742], [45448455, 88483379], [59239606, 42599012], [921622, 68878121], [91532774, 91880907], [65691378, 38207223], [79672087, 29684581], [88068356, 85984646], [12539320, 95985520], [55047019, 857400], [31261272, 13524577], [40364996, 73054487], [56724176, 80118590], [2861682, 39564676], [26147782, 51343627], [67112015, 77197667], [27424988, 21902712], [6949814, 40138585], [77868306, 51275385], [29055554, 30448244], [55021580, 69254947], [28567965, 79198297], [81296023, 92644484], [23551631, 7735634], [16743030, 20564721], [32087180, 63242606], [99542137, 44788204], [76974336, 27815909], [98861553, 76650369], [14053929, 42965258], [83046289, 80822142], [56131220, 65031172], [45122323, 26007150], [29723082, 29429708], [24897429, 36636193], [85325814, 88581179], [54975352, 35284009], [9108695, 38655901], [59232037, 25609304], [28242442, 59315942], [25614633, 66373405], [50386288, 10475729], [31582736, 33418771], [74098842, 23376984], [84798802, 2356623], [91550497, 13713631], [11854459, 69474386], [28338820, 99576556], [35609655, 24691164], [57113835, 82763363], [90285349, 35468587], [85355901, 88156821], [89404741, 21333257], [8238571, 75321696], [19351177, 22261937], [20998081, 93143637], [22721536, 60257100], [66131962, 92890030], [49317024, 25538583], [68535097, 16948592], [80937448, 31648528], [70745281, 81510415], [80899299, 54019804], [77491796, 93015329], [39570738, 99102753], [18768986, 80941510], [67714999, 32535126], [88731057, 60157295], [91697763, 26367815], [72565108, 47083993], [31544958, 35861701], [59346379, 17987965], [54761275, 5273775], [79613618, 8076730], [40755172, 54305281], [51107627, 11244702], [34304471, 29453904], [42420183, 12471000], [48087068, 57443500], [48965350, 7154479], [14296382, 94910988], [1181205, 155048], [53055497, 94491730], [77866618, 59871248], [71497195, 38710099], [22066745, 36353157], [24602829, 76909036], [93533641, 19756709], [96237876, 70027247], [69370670, 71706333], [41514082, 342128], [55421793, 9425351], [83263233, 27743032], [75271952, 98131758], [53035046, 5652073], [74170972, 96981625], [48974164, 95626193], [49624403, 68232580], [19785250, 8706623], [64045037, 63833828], [14850443, 67585257], [74498081, 27965828], [30044077, 92326706], [6841731, 90524739], [36830152, 56530300], [14425749, 45225835], [70425972, 89024757], [60782769, 37563741], [38875233, 83169558], [12657076, 25854216], [83827447, 11427278], [12658518, 39470339], [48286997, 3970015], [43146408, 91058267], [18944397, 32911151], [65351413, 67770555], [24256699, 42920186], [52567610, 2367084], [98492696, 49263288], [95237005, 27621300], [75585828, 13815914], [66889329, 35234460], [3874127, 58019228], [25806124, 48333879], [12912267, 85319172], [35089280, 71186220], [85490789, 49102157], [58792112, 29493889], [55369956, 12644717], [61127434, 19396810], [1353206, 54434984], [81993471, 2039757], [4523840, 62011051], [71590567, 19069734], [37746984, 80905246], [53958366, 16477780], [79228225, 37689692], [16886299, 76809964], [35725911, 78678621], [78765719, 2555387], [24766163, 46753895], [49422833, 90321042], [77179620, 250709], [91627473, 60998444], [58290324, 69797327], [59125080, 38440661], [40870791, 21107103], [11519176, 8569188], [16007291, 10646604], [65075309, 8454064], [90380972, 91057765], [90786249, 3870481], [20539746, 70310335], [58778233, 87470277], [31962848, 64645349], [84727016, 13983812], [34916674, 81697578], [52288625, 2251732], [93101038, 30197017], [52833877, 72283114], [48673068, 2912312], [60779841, 12584625], [8993494, 10348510], [9933404, 4049336], [78470097, 97185564], [51954557, 67638591], [12064438, 43535816], [24435840, 9186191], [81906964, 12867762], [84066091, 30291848], [93682851, 50806266], [14890633, 5479488], [15930114, 15847957], [62439556, 52015141], [55357725, 88072588], [39875555, 99453248], [97825959, 76331404], [41312211, 70719672], [641259, 98140853], [78791155, 72021559], [31284985, 47579222], [31478920, 79556770], [64211177, 99896893], [62152620, 47754870], [26691971, 64669801], [7524725, 42126392], [11651498, 11671231], [26228459, 42719918], [16545565, 11796529], [38494339, 78226345], [38492697, 8727391], [94443362, 19753462], [89945270, 27244202], [6883224, 43047811], [68175217, 38470550], [47807882, 24463930], [99821008, 81492509], [77846275, 88227258], [4737334, 43464597], [14154287, 11333862], [68366439, 89785968], [69082439, 78896245], [71912428, 38669946], [54203192, 34363852], [84095963, 59109521], [70577916, 16074593], [10163131, 44644959], [5072162, 51580966], [55311464, 2963896], [48455697, 69416918], [66844847, 42588684], [89386658, 2501018], [80438157, 28589638], [7880281, 60172361], [98108381, 77853169], [20311021, 9495392], [15206458, 39814346], [12332877, 3776411], [68288371, 87584747], [21952106, 43934228], [62087220, 86402577], [30887982, 34006860], [37240602, 37785779], [6178094, 62594391], [29858371, 79345348], [27383150, 56168916], [99298147, 24869800], [58151884, 65181936], [49437291, 80090060], [67438208, 71328273], [10013052, 95833337], [88889680, 55658001], [94535869, 45894453], [29597284, 26561671], [67048424, 88244025], [54272538, 27709276], [48101399, 59469310], [42000186, 67079325], [20284977, 16313258], [88339560, 30812730], [79641525, 81843025], [85139741, 75797545], [84370576, 28422226], [67800345, 69618313], [91178221, 25011954], [41716413, 8072817], [36619882, 49832236], [16073797, 94331458], [96977630, 18197117], [34351341, 68303987], [24675472, 57182881], [36420019, 46925378], [6749026, 1156673], [70864990, 12672272], [23690222, 99592002], [11639716, 92493257], [27698130, 68484576], [94649363, 17985648], [49493923, 3830917], [27851179, 22858263], [5407204, 35623764], [65644151, 81426233], [27261234, 83813810], [3891396, 38619151], [87288960, 20151416], [88281239, 21167819], [38713493, 76502114], [87009951, 92602900], [91018780, 64140529], [6284519, 68062695], [11454496, 70662221], [36443422, 59109667], [10065282, 48891563], [86092372, 81479079], [58590084, 56694760], [65997595, 71771202], [77575497, 49519611], [83982910, 25208195], [34629303, 30530785], [30628500, 11122783], [72290111, 76005763], [55191951, 8548529], [53467300, 98475202], [5201418, 83990778], [78974081, 47873920], [52831052, 66482813], [54128941, 28102886], [11064817, 3195961], [53654068, 23120195], [30084022, 98984637], [33518272, 90761140], [65950306, 9532182], [40770258, 45151048], [57860481, 98465426], [50568621, 45264486], [37788044, 98920982], [19847881, 98430432], [55962495, 53853296], [76557070, 92078920], [20100242, 53195663], [29065988, 83903399], [60727062, 84231281], [16158605, 99301638], [75329624, 73326025], [82388558, 20809072], [40420273, 24754431], [9577426, 25184192], [70406557, 86019762], [21825743, 14055021], [42146170, 12826307], [18151389, 27737975], [7817976, 73696493], [98288586, 44798331], [52291363, 11784232], [79783701, 92436521], [57445299, 41444383], [85816630, 82359603], [51631932, 89841224], [64499005, 21668208], [73926683, 51912328], [59781052, 91044218], [35353208, 46171339], [38454201, 1799980], [53728608, 80592054], [72407158, 93482700], [24698274, 80879256], [72710874, 21911890], [9564590, 68001267], [47908198, 60707749], [11410071, 61285408], [68989859, 12383732], [67034381, 84856635], [1237510, 11044262], [80753794, 82254825], [22973881, 72675875], [51628474, 39357749], [4439723, 54260642], [85982663, 12422981], [38307010, 68552710], [11685900, 65949595], [88258070, 69927934], [55498713, 57752333], [16567254, 80987020], [82154710, 636050], [66368063, 8495444], [668812, 83192341], [63798485, 25073455], [36269008, 96103452], [85521261, 67698257], [98430586, 84850688], [99352070, 9956117], [56453569, 81512971], [89766533, 1934547], [68243495, 11336251], [53802828, 97447059], [37559198, 32245591], [45141617, 51270897], [86566094, 26335400], [20128601, 9082936], [14183840, 59718922], [35223563, 76310136], [40970723, 35868596], [11888295, 10916825], [8716613, 63071975], [55660784, 36487580], [73142186, 62583557], [66938032, 51334092], [36780034, 67089087], [405534, 34189983], [49531992, 4093571], [93332121, 44083538], [94049489, 10698291], [55690187, 62833323], [10730222, 14052863], [72923710, 5819], [7204576, 57904982], [25727223, 23094247], [42380753, 87393818], [39682993, 14717558], [24490956, 2711020], [62971978, 78260844], [84058705, 75325262], [59593886, 47037277], [2814475, 34460624], [50269459, 88985492], [87359525, 47941629], [23347033, 31775292], [37733055, 94645003], [42654081, 33984383], [34487751, 4131074], [72260465, 92344598], [77660806, 63135071], [70716013, 24212009], [13716809, 37773022], [23867424, 72803130], [55074270, 55126630], [4015589, 82607341], [10851980, 59262376], [52624078, 68874480], [47813815, 88164985], [71033578, 398541], [44086813, 51759745], [77187453, 76826296], [95657970, 3188706], [88772888, 4156616], [28515542, 1982429], [65631363, 52714695], [9144964, 63817438], [58574494, 61337085], [85611811, 59167919], [10762455, 65217191], [16453770, 72418064], [5482304, 55133372], [57501920, 41039363], [19708290, 92774897], [14910068, 91413548], [91744669, 67661851], [38990131, 14507665], [33922484, 97669834], [58266127, 10799380], [15770432, 94948345], [47546033, 23249858], [64927890, 96819727], [66126633, 62145788], [56376610, 5718833], [38355878, 27565371], [38275315, 31926894], [53982732, 91468488], [18782892, 97754201], [13162598, 72293983], [84787703, 51192374], [78715089, 74493157], [3611302, 31042090], [38202515, 77274518], [36131797, 29227374], [66319176, 8838982], [168595, 87577366], [37224503, 48100592], [70221838, 67427437], [1773028, 90043888], [22428569, 29939926], [84906, 69365353], [39983327, 22719724], [61266604, 94848200], [24742790, 55030207], [31205877, 71850475], [57717204, 22868043], [44254126, 83490903], [81855862, 45754945], [22479297, 896169], [75001978, 67630784], [10085987, 99814511], [10040, 76303262], [1745363, 70523179], [91037886, 28615300], [95353517, 96560042], [83085753, 52215311], [7872254, 99634726], [87617085, 97655224], [72598855, 40045902], [70746919, 5716091], [75013146, 36051064], [73952468, 39981700], [91742864, 86814335], [29054746, 48789795], [98535629, 90586143], [59657848, 58807681], [23487259, 40747416], [236845, 97998817], [2874586, 71332842], [82174563, 99461356], [51569302, 55653410], [62916765, 28895839], [73177123, 32034179], [94137544, 62479422], [56354763, 82340100], [88840316, 84626073], [98942081, 22195853], [63399136, 33854228], [65508838, 94108171], [56173986, 74496261], [54596923, 47591957], [11640094, 2006837], [62039756, 44606112], [42320702, 13380600], [40865585, 92037003], [12608553, 30237394], [11778051, 31381802], [51641062, 24266466], [44716708, 2256086], [75496285, 79446195], [82940416, 63989939], [968911, 60933376], [59464383, 63619149], [58741332, 84764762], [61124064, 76569114], [93338439, 85580146], [31406774, 76580227], [77745500, 41752404], [156171, 17217226], [94162942, 35893577], [96219966, 49670537], [11765877, 98370874], [37788840, 3830382], [62364820, 11539408], [81420129, 34906], [3721349, 57336818], [77442180, 12058626], [90403939, 26634294], [87142442, 88932732], [84721347, 40583142], [79541162, 63697827], [52831655, 67585493], [9267784, 1201115], [92996180, 92284395], [37499018, 78722022], [15408121, 58883256], [50391228, 357330], [8193871, 39599652], [5392611, 15485438], [62972863, 6629946], [9423152, 60232176], [94342517, 25257089], [5985195, 78913141], [92754984, 37462167], [41920653, 45005052], [3302497, 52134963], [42702249, 57033678], [7102189, 5325184], [44483360, 58799840], [62427722, 76277570], [80952926, 82369155], [47620911, 84430017], [9837191, 62298301], [95934077, 52474928], [70582401, 43487747], [28672624, 9462267], [75505152, 92962184], [49114237, 30126769], [67816666, 45820635], [99087010, 99411226], [82963018, 15491193], [5330273, 43491298], [60354906, 37373398], [9386340, 16147844], [13246962, 58719742], [25764362, 47023027], [57353812, 84854061], [96727047, 74250341], [76292643, 35065293], [77871811, 34899799], [19232806, 43159494], [11816376, 41381790], [48473027, 22114229], [68095020, 62118558], [98156750, 23417666], [37556024, 17228380], [83508483, 65507370], [60966362, 14092089], [17221767, 97565670], [89977389, 99688874], [63040868, 31760358], [2316007, 66892267], [93401729, 36220109], [85770414, 82959953], [4839799, 42266861], [98008037, 97161694], [26443705, 72228957], [92981073, 45591804], [87669452, 46874948], [6713567, 84566487], [20962882, 10999524], [95328232, 28101258], [55658155, 52257017], [78420968, 38952128], [96382750, 91554832], [82863726, 97284895], [44227631, 46839943], [63802570, 37619434], [26569567, 94349496], [60653994, 85718975], [22025326, 59299777], [94496011, 77987023], [4055012, 14891422], [30697233, 53835301], [39270710, 45598093], [71919045, 49895960], [5285430, 89415748], [68246978, 67393002], [56301942, 16278753], [39564049, 39285276], [90974111, 2408306], [12559013, 15257856], [3559341, 36845972], [89693915, 17778787], [83271880, 15532363], [43802416, 40373120], [90184747, 5020876], [26929253, 68597946], [2678363, 23698172], [10634743, 21788634], [30380982, 69388759], [52516099, 4965058], [48477517, 68453544], [11795642, 98105855], [5983798, 74491742], [62615630, 63376467], [81380974, 115734], [43066230, 31968407], [94384848, 63433885], [34325971, 24341232], [45446970, 76984211], [37579584, 35377028], [7444150, 60076116], [72790446, 28841543], [40775599, 84187204], [27833947, 76810310], [90043621, 16616481], [99962581, 71991652], [80467040, 11088788], [81875586, 5268210], [64138773, 79371491], [62620023, 24907939], [47547134, 19241937], [28206486, 19447409], [30846038, 6684854], [30100973, 72337251], [36303852, 70853332], [20690491, 77027739], [53911438, 37704055], [71753262, 38777492], [36564192, 35493995], [77660744, 11467784], [97050164, 23657233], [87416839, 91812605], [45562110, 97417736], [5576717, 40420813], [51413588, 97947165], [40771562, 86581071], [51532591, 868593], [5707658, 77846329], [77616113, 26549960], [59954521, 44409895], [77360000, 66124791], [22348034, 50593737], [21590971, 70958542], [95605871, 80866266], [4075713, 64653311], [70199246, 48403546], [17136265, 859491], [61047280, 89959161], [1403571, 91259059], [47393722, 6205986], [33107227, 23167100], [77221364, 4964048], [11633090, 55266007], [7529085, 5044956], [96683445, 23297290], [18067032, 11908114], [48975682, 92774403], [67587571, 36520164], [73436490, 1703362], [37635414, 69202794], [5463837, 40123640], [29953396, 16073371], [53792112, 50559231], [3875650, 44707618], [52863329, 85308263], [7136029, 47103263], [29499684, 91264396], [40674451, 62357867], [73657877, 73167972], [81389480, 36942193], [28233466, 2559297], [95130918, 70713838], [81776305, 99029892], [57692587, 73637268], [57764599, 8971188], [33679650, 15686398], [62038328, 54624613], [52298504, 17386830], [41956282, 66611194], [30045781, 8048347], [11430138, 13301783], [47897975, 60929095], [3566958, 57647164], [24560504, 39988280], [33060108, 25603231], [78622526, 56246138], [19278574, 55551659], [57640245, 21901108], [40958980, 3836592], [79183983, 64985088], [15955167, 47460904], [70908260, 88872204], [63022906, 15126181], [87760727, 30570782], [61848837, 77629182], [74569211, 14207985], [58453650, 30434726], [15199215, 26046869], [63791449, 28751458], [60641355, 48973916], [13818948, 22609493], [70220068, 13620012], [10249087, 7210598], [12432352, 22736684], [75533154, 87476434], [82119655, 7449293], [40832163, 18019069], [58371092, 79096565], [34803117, 34081346], [29114210, 7132986], [59679141, 90888419], [23191029, 91423699], [16639342, 80728071], [32000340, 78443094], [66483798, 39186801], [99489530, 77994315], [76044840, 42798560], [72555523, 86129936], [77185092, 87737669], [47466348, 83133417], [82185604, 49614506], [14615979, 62813385], [1069901, 74217177], [86055807, 32670936], [99013813, 97488373], [91836634, 36201668], [68188834, 65338072], [28973057, 52839822], [40899082, 8595717], [83953913, 31160370], [34377733, 16332392], [77571757, 62279920], [13429651, 13868750], [81024671, 98913581], [21371893, 57492088], [94943917, 9105027], [60040409, 63602613], [5550547, 6873153], [77555495, 48493833], [34956613, 68096566], [95164516, 29227142], [96049384, 75197843], [83741301, 11223416], [79582174, 57581898], [189829, 23072347], [22935943, 21360970], [48306469, 73288490], [98089625, 97730170], [88525488, 21713779], [36659832, 60328752], [62670961, 69742880], [17186618, 7217260], [3271111, 56372855], [77224360, 72922616], [92377118, 68648047], [78974082, 77952142], [89117467, 9928857], [2797236, 70172848], [60829331, 80640707], [75928579, 17506616], [42459439, 14964501], [28096870, 66505190], [56962428, 8644793], [88651021, 23940526], [83381952, 9088926], [11510195, 48301879], [44705737, 90421455], [82274533, 40948637], [3773647, 59459232], [30887191, 6840791], [11520557, 71826976], [69258568, 11564839], [27943552, 85591238], [114837, 41422368], [32073797, 43560437], [73066229, 81490793], [51337789, 31131352], [45259474, 64579978], [5321600, 66680994], [18234038, 68281949], [55081338, 43727151], [64765262, 42139362], [3968291, 10553609], [39655797, 31612776], [69582930, 93693860], [10287337, 26367706], [57558948, 91633006], [73990958, 62898626], [28500543, 72299705], [47219489, 74495151], [11777666, 95984254], [27557849, 19852353], [20973670, 1418979], [7674255, 3352619], [37043860, 72410541], [71816292, 84504640], [71258347, 25978095], [63403426, 58014429], [48676126, 91306241], [47791680, 76923373], [65225726, 71309888], [11058995, 35656721], [79000135, 91738022], [46199000, 9265206], [13383732, 64340459], [61772897, 16901372], [55955602, 96146676], [4120637, 17661491], [1843992, 23339397], [54483872, 37900908], [45422922, 2454999], [25059532, 30147027], [115442, 81930016], [32589222, 45240503], [58264852, 31081029], [35445251, 84384272], [28719261, 2952405], [99253145, 27625591], [105793, 19381239], [99482236, 8316046], [29267292, 43578902], [22554236, 36999447], [21972783, 32940423], [56998796, 38361810], [9899067, 31319221], [74011631, 22705209], [57190539, 81896176], [58159867, 65261224], [77472441, 32548078], [47204745, 23898432], [67684741, 57273300], [47686313, 40004149], [58077304, 72402546], [74450521, 56844681], [21462764, 23644372], [28073926, 22850154], [80155740, 12382165], [8465457, 77952578], [71569245, 26058353], [64834877, 34536668], [74914995, 83141962], [21496492, 55056313], [61213454, 64734188], [1589168, 60717822], [40085596, 33298866], [19187639, 23199682], [79302910, 25057869], [82209052, 96086112], [65531159, 20032596], [91061020, 27104135], [82721275, 23965446], [51458460, 49519710], [16266421, 79971169], [18419707, 82619644], [61457629, 94035974], [66991424, 21501126], [99293312, 22710930], [8649699, 66542835], [98290922, 44631844], [10278818, 65178121], [15464816, 28436749], [63249053, 75073702], [4656175, 62715076], [78757804, 56419843], [31126900, 14596479], [69035375, 57298142], [41528955, 1287620], [32353546, 99811309], [84129747, 47965727], [86096397, 87266845], [11728468, 62213279], [6809525, 80252095], [62476038, 50866951], [33006280, 36587217], [75867005, 29791633], [19873699, 93032970], [74456920, 94707576], [28848816, 75319330], [4793893, 77767225], [1748412, 24716367], [9573224, 78002276], [95802622, 45762344], [20911302, 3006022], [48396581, 30692308], [5568841, 27455502], [65213272, 98464742], [49910765, 10026989], [78582268, 54185501], [4597209, 78972712], [45643043, 79197580], [62743885, 51817021], [39379135, 32494843], [48773569, 58731994], [51555780, 56052970], [16521979, 82776286], [5729385, 38555054], [40294521, 40194823], [88582388, 15312822], [23968790, 91395605], [55790727, 42765120], [20594926, 26581198], [23997277, 86922655], [68904971, 9640903], [44868409, 73000944], [47462084, 93564332], [1105286, 1215495], [32573482, 29153978], [29381480, 83968537], [78975359, 55725808], [6983701, 56228570], [12358142, 70289572], [19886523, 68153396], [18294739, 54030805], [88343943, 80755901], [77906593, 42988911], [53937398, 11603471], [36847153, 88603506], [64269065, 56602347], [92826971, 93050402], [82271627, 35021563], [80993029, 96695268], [97175230, 2960973], [83541152, 38082370], [49034109, 42287160], [51814983, 12892838], [37536535, 62029706], [73311586, 27925837], [15953879, 89318411], [69204346, 54378301], [4468303, 32962820], [64037620, 20163184], [89324790, 43981668], [99949298, 79719142], [42060198, 19772178], [24478045, 62770188], [71328627, 67184689], [92047593, 98512476], [8374045, 80258786], [75810953, 68226631], [25033676, 31660833], [85350871, 8872942], [96498086, 96048406], [88842136, 7142907], [38596862, 54472351], [82539241, 61577518], [55378958, 55265801], [4669394, 26585499], [8756108, 75040141], [51218351, 99328454], [55312446, 53827718], [40122091, 93175423], [90912437, 2655540], [24667915, 93642004], [22165504, 2727860], [692645, 13386591], [51896589, 77043761], [60368467, 10924204], [36928349, 31185254], [85279752, 98593741], [24376099, 5055347], [71149485, 16850619], [53702814, 16621146], [27216119, 94787608], [43496570, 66042204], [6535089, 95366305], [86013870, 90310908], [51639679, 29362952], [8863223, 66235348], [2200904, 89503013], [51010387, 95588539], [89381026, 48237884], [63871360, 68049992], [82450249, 98395900], [43384508, 43549400], [46692232, 17604275], [49807480, 84785736], [58447691, 79264031], [62664260, 4069660], [54341537, 38879000], [65212809, 18601155], [76588514, 87074233], [98124883, 90559684], [20384045, 8137019], [75752015, 33772641], [10732783, 29027658], [7584914, 97361045], [94475395, 29593777], [57513808, 44618237], [44137604, 77748462], [63159464, 3111438], [18017667, 59436623], [47478186, 55794519], [96756277, 33389663], [37370991, 13161743], [22962278, 94260732], [69175187, 55627773], [73399088, 67080874], [77550550, 12401440], [74924638, 21603253], [71756184, 9314218], [29572181, 11642743], [63661901, 91793736], [88109156, 98478603], [34247009, 68365822], [17186264, 99953417], [73524967, 45842631], [57013183, 79208998], [70612144, 54714699], [69662721, 99455684], [40783649, 4077585], [7743015, 99502137], [15693512, 15570190], [93401862, 36891075], [76164119, 23529299], [88369442, 39199963], [37007701, 20977650], [76326040, 87425275], [61608075, 28764562], [27186332, 97551822], [49873516, 11037069], [93275374, 96094652], [74491138, 62939772], [17559904, 34564732], [10548301, 58235366], [58082922, 14398385], [62976195, 88755952], [73392117, 86124253], [40069967, 95321433], [97861353, 74400183], [51962228, 1228118], [32700596, 19435846], [43058225, 57087229], [54441306, 25261635], [69663657, 54676119], [25643914, 11334727], [60442977, 33037222], [34830717, 78982566], [31941551, 38497238], [8956408, 56970834], [88882258, 13736688], [19272802, 41180559], [75923861, 92789145], [75446710, 39584425], [33992755, 16725143], [91708759, 87158260], [84601393, 41002206], [40901867, 12687665], [31360270, 28302388], [94187515, 37055483], [9015150, 72927354], [87125663, 2680417], [81398979, 84372858], [78994068, 46534112], [836279, 28434301], [53293204, 17554897], [41032768, 99107883], [22725028, 43470050], [92870338, 79109176], [26929411, 46919850], [44591234, 61809359], [42013984, 14604403], [94839589, 26956762], [4017161, 61395573], [98350128, 62335736], [56648566, 15672179], [59151874, 54108019], [8434486, 49901202], [19473016, 52086130], [26408451, 85407704], [26661507, 69018165], [61626552, 6539799], [22020647, 68890250], [22187905, 60787175], [4234282, 15205781], [91599204, 90876554], [95005232, 47162857], [8420051, 75114681], [7279398, 8737585], [18062992, 43573845], [94357617, 97851427], [36578129, 63832843], [95077385, 87294678], [44116962, 57127134], [25102774, 28235990], [95270739, 51127447], [60597949, 93449616], [91095555, 51284709], [29736017, 62424797], [29299904, 46051173], [85877087, 55572127], [53362801, 23149210], [39423267, 58441055], [57678476, 27181455], [92756760, 70986579], [9348138, 63259581], [92799519, 83897833], [86779279, 43791152], [6101993, 7195337], [72092549, 3894730], [8417058, 93435357], [13902922, 23645163], [59522545, 36994191], [42513380, 13618637], [99585326, 10493817], [46366841, 15160551], [22808267, 21451743], [81541056, 44994437], [79968775, 10555654], [2275445, 98727291], [86805752, 57001828], [54027736, 52791515], [80582136, 16972841], [92211534, 19303753], [9844320, 86667692], [41799598, 93579120], [99150527, 45993505], [23752088, 93247497], [99260965, 90441832], [78031117, 31426032], [90489556, 85489901], [91301415, 55427353], [55698755, 8702025], [23854916, 54330846], [55525368, 31349486], [58989209, 77775468], [33353225, 64512361], [48173155, 6463742], [84589286, 62188061], [54098199, 71756126], [86324794, 17828480], [648986, 17882052], [2283021, 7498495], [94670494, 13488819], [52517531, 92167782], [11574026, 64925090], [73898443, 25552094], [22730645, 69773499], [54532438, 86645352], [98587970, 60701005], [75030318, 72672177], [5713501, 55317468], [60800407, 56051261], [52171538, 96179797], [49325648, 40993056], [22952326, 58256838], [33365893, 68763997], [58610399, 51006104], [96968252, 95995860], [50004616, 70361112], [19976990, 43576432], [80948490, 85921118], [46832560, 84425631], [84529977, 51159894], [65320491, 3069154], [30402245, 43331019], [96548884, 16126905], [68720489, 51792829], [11107488, 96464281], [24839971, 78689177], [1157249, 72774970], [9267403, 32410812], [95780480, 5598517], [73607918, 76850817], [14980354, 70808445], [79076470, 91543143], [48450866, 46281309], [11975008, 25779381], [59873434, 676607], [91426336, 72693793], [63538609, 20697479], [87213999, 31064182], [11940551, 3969284], [91715872, 51030795], [59618373, 33589766], [22739449, 30113175], [14319308, 43563664], [71608570, 45535864], [21523985, 71672962], [25561469, 47588391], [1982702, 96846527], [2848876, 86570282], [98641659, 83875733], [29922183, 70079989], [57639089, 62780934], [61032114, 57247913], [7739042, 13657252], [30653741, 32352726], [11216171, 55127139], [94176713, 22346212], [59092524, 12320], [14389546, 49343701], [13298179, 31355903], [12142221, 84309661], [82529882, 15127862], [843521, 51205956], [41222022, 11081828], [84708179, 19913463], [51012115, 65121164], [42571453, 53792122], [46709889, 93137412], [46362760, 37510503], [95716558, 22008719], [86814318, 92669655], [16700657, 54327393], [96260490, 71845511], [10881308, 18945018], [21405747, 43085061], [24328360, 94199092], [54321198, 76786032], [40828471, 78791277], [19923181, 13887000], [41381302, 40891097], [29382042, 34830850], [37545388, 44325172], [68184312, 73351259], [70751657, 99634662], [19127171, 37447709], [64707787, 51915695], [33902593, 34418315], [86794062, 32689202], [43438169, 42490839], [65941223, 74187198], [31459445, 85087182], [51591136, 54659453], [33176648, 22017970], [99515728, 2633782], [47447477, 16521359], [58199707, 23123731], [19154359, 60534251], [9267794, 69621886], [63356220, 85796688], [44616662, 3896326], [14979426, 88914450], [16318785, 33584260], [8111390, 8074611], [7233996, 49335549], [35141948, 26038696], [5069091, 78735761], [54095380, 64883477], [38867257, 71420396], [72541210, 78593643], [8279862, 69807211], [26953764, 76827902], [65668335, 95986857], [53192921, 69232209], [69720685, 29848532], [83442917, 71674778], [76027657, 18925539], [7145246, 12737682], [74693405, 27576108], [76660449, 92092255], [95262523, 73252292], [60514648, 42406703], [77825794, 47242948], [89248919, 91812968], [66776081, 43988258], [53238889, 87041971], [44803624, 14433359], [87393928, 69839037], [18351940, 44894981], [60839607, 31043202], [35474208, 7349757], [85271868, 69491871], [74205519, 50796100], [95592076, 10228074], [91857625, 9048657], [9414025, 78119764], [55646626, 42014249], [55399264, 65803118], [72626116, 75036959], [7299108, 88253392], [26256248, 66186410], [20829385, 68912608], [73114289, 71732932], [4430999, 19790009], [3883115, 4744166], [25302034, 86789422], [12969183, 31250845], [3652483, 81527611], [34025677, 4450841], [9348666, 65833928], [6186480, 72328966], [61979721, 68021493], [11722099, 46766572], [36043048, 97617115], [67254834, 86068927], [16028318, 78992821], [47574408, 22588178], [12937618, 9781225], [48318534, 23456541], [52283178, 62480507], [4978982, 49911481], [60592734, 88624827], [99245465, 59103154], [84906911, 53029356], [23526896, 25542106], [47912177, 56261786], [22972103, 7618139], [18380203, 85625219], [59409988, 56742051], [77024086, 1254535], [87419593, 36965628], [18088681, 37565550], [83178156, 40209169], [99502594, 86484215], [8098166, 93009400], [42210293, 63654136], [59529233, 98185432], [62429486, 49402525], [43680165, 70061987], [32796259, 93068918], [94844108, 55469990], [22046915, 29951211], [91735721, 75425498], [25105480, 71005820], [46735592, 52111201], [34322548, 66510085], [11187188, 84411172], [4662487, 64080339], [54810698, 41675866], [4045873, 46087082], [53246582, 64287948], [90236680, 5321181], [61168811, 73018183], [77667882, 55432281], [9387647, 79102070], [24637946, 32210181], [82850510, 74966913], [1701927, 75101777], [44334509, 75094624], [68112621, 94818551], [13164494, 65949565], [47242643, 75243543], [83565151, 84292881], [43784024, 42280750], [79517065, 57895835], [57668605, 46946100], [62333615, 51604785], [57279280, 97042011], [86957096, 58735785], [78214712, 35119368], [29596329, 71618329], [97020186, 37344769], [74350970, 13811103], [76281432, 73822712], [39270202, 70221352], [1599694, 4102090], [27159390, 98686735], [54449715, 44561162], [28153504, 20713965], [80902975, 368226], [37012127, 20767239], [33604790, 66775131], [79869876, 80393193], [10454021, 44943622], [46939247, 12866884], [23833742, 94992341], [64657420, 32524918], [55131228, 19713391], [13517945, 47860819], [30500585, 73689432], [29347644, 62711819], [32690912, 71344172], [84020353, 20726646], [29839916, 10707011], [11337809, 32495725], [53376301, 6639310], [80793203, 6635], [57124977, 99645217], [77011331, 20769307], [68786519, 43869705], [483260, 77842223], [1312990, 43574200], [99724925, 85762755], [79494744, 67888382], [36828062, 34727310], [57560530, 66291568], [43272312, 65845676], [87711135, 61972757], [73912728, 88075109], [5464804, 86960108], [81324800, 46947637], [37628186, 24041633], [81429799, 40933469], [99711769, 60164298], [54715793, 46928480], [56304282, 15630382], [76577113, 85712775], [71723783, 78666946], [83827311, 71445784], [62836878, 95999714], [67552991, 79906084], [3489655, 56656250], [37397898, 60629754], [6548560, 75731006], [55323091, 47559856], [49361386, 65245100], [87118648, 3719238], [56609924, 13745916], [42510608, 20117990], [81362101, 94946153], [95130706, 73544445], [1342851, 41427183], [72475556, 95368978], [28081611, 56029069], [84199894, 63108185], [50107717, 90983169], [29413593, 84856141], [54986390, 40100953], [77875880, 31719071], [84778993, 75326785], [97228728, 67357011], [44834923, 655869], [42089844, 48754424], [39329165, 2406921], [10724087, 3834199], [3388834, 61699619], [83265711, 10729060], [13696376, 47797585], [49686880, 9103815], [68634217, 1926569], [94584789, 35679933], [74754292, 79425433], [24089591, 28534326], [34661745, 64004423], [96197237, 24367718], [60786982, 67015655], [11234085, 40885044], [71241443, 32619664], [93416980, 65873188], [39194430, 65208272], [15968168, 40321400], [13737941, 52714733], [67121023, 34439785], [10505567, 90380314], [6220530, 43342313], [32884611, 43066179], [61659314, 26052081], [40951785, 55611479], [33268747, 9114838], [44042647, 53564804], [44115484, 76187642], [39125629, 71436155], [62034670, 8823025], [60011788, 8912781], [54531361, 40735019], [32152762, 13324355], [15087262, 30405441], [48136889, 24536995], [22000877, 80353790], [1906649, 56929915], [50046624, 28556490], [31132205, 48199268], [40088852, 83263425], [52891503, 98215660], [4051020, 28719185], [79981244, 92751431], [30612720, 86131824], [6442405, 50367187], [2965832, 64674812], [58500335, 92626721], [92501753, 61332074], [40590805, 71430036], [93242478, 9864243], [89540522, 46927819], [69146028, 88545091], [18137706, 69111841], [10199158, 46516627], [62767755, 54619208], [41885805, 4572116], [16703963, 85056917], [69365051, 93120552], [81729301, 86576666], [22328643, 75172547], [85477190, 3873853], [5232710, 72782279], [99851555, 82330901], [39237289, 12710424], [49079870, 99645013], [70870312, 21334680], [80038036, 19959484], [17845302, 15947944], [45919393, 71206720], [29036155, 18658600], [992589, 42739982], [50483295, 18049291], [33388634, 86220761], [56684623, 33167987], [44676931, 97015122], [31589903, 64917348], [13322195, 29583196], [78493065, 96969953], [48935874, 11628358], [89277531, 48078750], [75922851, 95982609], [74615639, 47867953], [72700666, 45160750], [18656358, 46010082], [97488703, 34162715], [7108949, 64436019], [49701278, 58090090], [32689252, 6923390], [96034243, 46749658], [33226503, 42963000], [42460947, 1122801], [60886899, 59747329], [30965673, 12153728], [58645772, 77177069], [57788702, 47808472], [46791015, 71683411], [11359109, 2542323], [79790826, 77931020], [47619983, 12863438], [52191524, 68896758], [7271729, 40283286], [46868793, 1471129], [21147362, 20574332], [94254010, 73897053], [89512321, 51797713], [24683357, 43887185], [31093595, 51249731], [79684845, 50051191], [94654658, 18537399], [58841562, 12658428], [94193139, 98916184], [16229072, 82526713], [42587274, 71003760], [32352962, 41938935], [71265926, 33182701], [289401, 74141355], [24160297, 49149521], [94387629, 80819474], [86123049, 94893148], [5506313, 71384361], [2842636, 34145801], [19203323, 60576157], [66783859, 52236626], [9658867, 22302399], [22082601, 56702574], [76788108, 23857615], [89929609, 85717495], [41969235, 85936898], [85963026, 44991504], [51703556, 37621340], [95521769, 7699695], [567535, 81033842], [80612811, 16461238], [89837104, 29804302], [55423109, 1271094], [51296455, 6153381], [69334469, 17851873], [11924793, 42855400], [73901522, 18439121], [43662504, 92403500], [19677494, 52441710], [84712399, 46771485], [93286325, 1003523], [47499037, 89925066], [5351275, 58894876], [97655070, 25595581], [36507637, 91139120], [68011991, 6798886], [99520080, 94178879], [24449417, 29716197], [29917716, 74640031], [9639234, 9360477], [63826561, 91111648], [27265568, 86069094], [35065314, 15161891], [44954468, 94212631], [20391069, 41069774], [2325622, 35471731], [98552325, 78742094], [38186163, 50354043], [50086892, 23881753], [76529988, 10740101], [73685200, 12090319], [75593076, 79623701], [18234336, 28894541], [48127621, 4805828], [60922216, 48888245], [22002812, 39892769], [98058191, 56668554], [91687720, 93379303], [49113287, 75304693], [26466975, 72953565], [4580468, 55365857], [60801097, 68295319], [73340345, 93702766], [7025346, 8167078], [22246056, 53367049], [19343671, 77760004], [92784223, 93956844], [13987165, 70029844], [41987579, 79178616], [86928853, 89243238], [91266000, 26097246], [24832505, 66243270], [7785155, 88463385], [65939207, 16887673], [575038, 1395043], [9707420, 72974725], [88980851, 25733694], [10183041, 45920096], [74350581, 79595542], [33903406, 2066007], [66396076, 9508033], [84049280, 62313738], [44273006, 11156137], [54276208, 97231849], [88833958, 1069021], [78429845, 94032135], [28325267, 75029878], [88839774, 1154562], [39974448, 4698449], [48700090, 34800884], [49888554, 40015778], [82785195, 16914510], [12311123, 30247673], [34037941, 58194503], [56620572, 72263824], [55688716, 51653060], [79250695, 65479865], [57210207, 93132111], [65872303, 21276661], [24888836, 2278364], [61074888, 35701089], [30397272, 77499005], [59652745, 67687132], [46994030, 62918110], [22376455, 21869723], [12784644, 60402383], [63156577, 64559787], [84980324, 4332612], [75031181, 31016445], [97312457, 72982182], [34241300, 3820625], [37068395, 29906892], [45414486, 76025513], [53033981, 77729443], [27150672, 37191090], [36624080, 78757037], [3687768, 32002405], [93823877, 13711877], [44657983, 59573339], [21230862, 35359040], [34716569, 61182673], [58426920, 20397673], [2497774, 25173412], [51796525, 95385151], [38822333, 64671046], [44104160, 53050247], [85647698, 69532797], [36082737, 11080799], [68510851, 47516987], [94887447, 90558314], [35387474, 2164038], [79078111, 21161207], [27334414, 7037202], [16467345, 54888323], [30799691, 25851076], [15496697, 70257605], [30046190, 68794768], [32062882, 87312971], [24227707, 43764860], [16598269, 65322269], [70820084, 94832508], [12827075, 63160251], [17342549, 28975511], [4239445, 84181005], [92799822, 3277258], [48109185, 75334167], [33818118, 61835827], [59204402, 94526853], [32082089, 26460231], [37678876, 21754394], [73774658, 45263970], [89613134, 16515570], [65541184, 25538732], [89810099, 62763916], [3781057, 91716397], [36761184, 79370704], [34837989, 48551635], [53836569, 14637946], [78143143, 49664855], [58212916, 34192957], [21271634, 66898911], [71474249, 63680885], [32209675, 24396721], [90087074, 58295926], [53385474, 80214776], [6358576, 93542271], [22884750, 24690547], [97843744, 68783017], [17486436, 82086101], [96733543, 25519937], [88742106, 8290551], [51608487, 18720750], [7322021, 24079650], [14336768, 25902094], [57263661, 80687780], [28790691, 66143731], [20648093, 47074622], [50754676, 63088324], [56227310, 35460267], [17094432, 85850217], [74880379, 6486352], [16978100, 55974284], [5971682, 74588052], [38967057, 95089880], [18064578, 87112724], [27929176, 56924642], [74219109, 85303033], [12718583, 25842468], [67336399, 46985407], [85615791, 79839826], [23938157, 94891573], [48085969, 6967250], [12273874, 85908589], [73340468, 78080001], [58964754, 97238521], [9790435, 79213334], [40133949, 44198814], [89297123, 98063735], [76556369, 15823668], [4001406, 90126817], [5458212, 25508487], [2460340, 88989019], [86416586, 13006241], [49341765, 23406339], [53614525, 19624212], [87163404, 4341071], [34684788, 29787304], [62613114, 95588963], [66045572, 34150393], [36901970, 15872291], [85360041, 81258322], [8860245, 87727296], [88636177, 22706104], [30371080, 30878653], [89883725, 55636952], [38950984, 8173635], [67898694, 82180430], [77899422, 78053357], [67750564, 1181227], [63882838, 96679445], [23059086, 67462580], [64642550, 90008466], [79453325, 31724748], [42265573, 7787863], [37255026, 62842585], [47753017, 59152182], [94784845, 29872762], [33536851, 2252191], [87602880, 53839871], [76053545, 39387194], [67760289, 39637482], [18087763, 73652742], [43663003, 68157872], [20995500, 71815390], [34477512, 6947474], [32573499, 64896099], [36033605, 17594358], [25951415, 84743121], [15652256, 96615892], [65089280, 66252361], [14480058, 90380959], [15231832, 44787126], [4875672, 78315155], [9085395, 24446098], [30224870, 87536301], [75649654, 18539834], [91985936, 51485861], [60858498, 53050378], [88880069, 47000629], [26858767, 23023932], [56018725, 50879614], [82494217, 32339039], [39123564, 33950112], [3830212, 77888114], [65941835, 59870385], [9637125, 18968690], [43024615, 36048391], [79570415, 21351830], [46911473, 9756861], [86997989, 59280461], [34068384, 53694182], [49397986, 8222951], [7106622, 58878544], [29267109, 53714382], [76579, 67952309], [93254454, 77539981], [17675301, 75607126], [86852145, 18652909], [79034624, 54860034], [25999589, 41128894], [40657994, 6517897], [4523142, 78704683], [47798324, 83900743], [29600628, 92875650], [43416020, 28778834], [95097857, 37093370], [1516906, 19673720], [36899084, 17558385], [24716771, 52940696], [30067436, 99069112], [86264480, 48142738], [31814986, 35709474], [48270674, 90571486], [48408275, 57874390], [83107488, 15081987], [92267142, 51817486], [57661192, 26226626], [6210254, 20254084], [52171376, 81416123], [55821727, 38487667], [68700667, 79186575], [56823605, 85293053], [30553628, 12378304], [30144727, 38588157], [99289992, 62334681], [40918454, 73646665], [61111796, 38682523], [61522111, 74343312], [42822426, 65344786], [77128387, 42007727], [69754507, 17489543], [70758852, 18616177], [80879938, 36680208], [97631489, 87097775], [64936690, 43492058], [27170319, 24485489], [70742836, 66484180], [29260740, 41062251], [48131228, 93171640], [1402767, 61835715], [93721621, 40563426], [86821259, 12133400], [17911912, 18331258], [14986739, 27074883], [14815866, 25135959], [70970295, 44605376], [79964941, 44563489], [10263330, 98442818], [65636533, 96726350], [42578634, 95096989], [51474852, 26633486], [75665601, 9467606], [37207132, 44468713], [70761613, 71724152], [22642588, 64090514], [13017025, 58482485], [17611250, 40232129], [7595709, 20601219], [50911484, 76762956], [21795614, 45132400], [26590104, 5030585], [8476275, 69885700], [9473566, 64207037], [80848916, 21010105], [26780134, 80813971], [12507135, 67183940], [42708227, 47166722], [18979176, 41641119], [27661061, 29592083], [82285825, 75735468], [20262203, 24559647], [12377170, 93087479], [67267034, 75063523], [14041951, 88843291], [59635077, 63002465], [55765634, 73956322], [23771649, 47865201], [15317909, 91443658], [41665134, 25789183], [15002352, 36902603], [84506214, 9866065], [90363972, 57823359], [31974843, 64888201], [6766164, 2996364], [57965684, 10758043], [15708184, 45943425], [26121864, 54796170], [29716401, 17447903], [29968366, 72862139], [37630343, 15481200], [39465569, 92869442], [1037114, 95427159], [35535814, 91251755], [11342117, 23827266], [48079013, 19851603], [67169803, 16634267], [80779926, 38754207], [73851027, 89369727], [96600518, 41704803], [73935101, 25261292], [76040338, 62558848], [50128975, 88863415], [58312177, 39392378], [16445265, 55892004], [2491779, 26438282], [21904611, 29349263], [60230301, 90672720], [96420571, 5641349], [70607133, 70653782], [68037841, 15685062], [88491755, 19546147], [60771935, 84435343], [61111674, 46815812], [52209512, 80771606], [94912010, 64515336], [29150898, 51690893], [95922980, 10245303], [54089714, 65106237], [91665695, 43051200], [16321458, 34491152], [47328547, 91392925], [70456769, 11653545], [76139511, 44238527], [96352059, 36936008], [21355379, 10330350], [13692957, 22359619], [72205236, 83467528], [43621291, 63023231], [60811996, 85350682], [14085258, 41922289], [97944440, 59357211], [20258043, 81599166], [80449020, 31310556], [50797972, 43554054], [15794914, 78558530], [58743773, 87253735], [85560746, 82453300], [72113390, 97526657], [38003009, 29466289], [94182378, 39504919], [29841422, 82103210], [2173055, 41557285], [35914523, 66417633], [87579280, 76396084], [55227874, 14071718], [73131266, 94389038], [66956313, 14159058], [25560536, 15213053], [9370660, 25963889], [98369535, 30016827], [82634705, 60698359], [23671558, 43970508], [84514446, 23694016], [26240742, 68615373], [57222173, 82265669], [25843992, 94965600], [95299035, 73630693], [44169218, 18430764], [47972307, 52181542], [6481717, 79134305], [2383911, 58496343], [87697676, 4608598], [98935286, 398492], [21446519, 6920822], [82662651, 7213430], [55906345, 17390418], [40341740, 77352362], [54317236, 158344], [6502783, 54472162], [76715190, 48614320], [24874202, 15240361], [32356651, 40352714], [38001147, 42293397], [36213491, 5877374], [13729821, 83270602], [13288503, 33144204], [30339385, 87320546], [42413753, 18409719], [85063936, 83414071], [26941848, 13978980], [30607759, 58932153], [8795963, 97172317], [72485671, 3633881], [86418057, 53010968], [14980099, 92386228], [83289680, 79184089], [10668691, 27559398], [37742044, 27765101], [10946996, 25886026], [31551530, 49564417], [9803244, 75208738], [66712864, 70457282], [33890676, 57785385], [73973576, 40628442], [4979795, 37236924], [82194993, 5991858], [65605523, 22511091], [66434798, 82307550], [54121527, 6813195], [16646389, 15205460], [22384849, 29605403], [76844546, 40031578], [64021209, 6018141], [87974256, 68260917], [60076583, 21779272], [71072091, 89281937], [16722187, 62885967], [53530770, 10857165], [66976479, 79303228], [50757720, 20272824], [93612627, 33676118], [21526386, 84214733], [3709438, 54040800], [69517280, 39864823], [38251780, 35921825], [65472533, 88079263], [24865350, 5040593], [60478392, 63211660], [6796185, 65267427], [62543865, 78571272], [75463684, 14690352], [55610353, 22445244], [58025988, 36111922], [80394252, 14061201], [61116091, 95237491], [69955482, 65835507], [87147909, 24253234], [21526340, 1405635], [56267743, 30251330], [25962583, 66717205], [76695147, 59055790], [71779440, 44780111], [32451671, 40353711], [77887440, 34576870], [45752962, 71419593], [52012190, 74779106], [29659931, 73793634], [47168518, 79387848], [91038154, 51551649], [16618117, 38857610], [76871932, 9683928], [31310442, 41741677], [16461730, 79046376], [40834786, 97019949], [33980984, 76598936], [70953800, 11045443], [20358857, 78561085], [46702086, 85204625], [82815636, 30795726], [55327574, 48356910], [75234387, 31995521], [59242667, 23714999], [46226042, 73601632], [74303818, 9355460], [8327037, 47516335], [11952127, 95361868], [6600211, 73746041], [22966003, 14301158], [98871275, 58355435], [77675438, 65647910], [54199868, 93674691], [69036578, 18851104], [77193496, 43862624], [14526132, 35295458], [54223097, 354155], [93647512, 2079589], [76185546, 67575710], [93866891, 46877470], [59682458, 69108313], [20977105, 16756643], [33080430, 40848503], [85091498, 35545033], [73569447, 5818242], [13581777, 47599999], [97939523, 63364149], [20489590, 42902300], [82841639, 72937783], [81640831, 25143847], [36954400, 38776126], [86962984, 63782813], [95514315, 48629910], [51608552, 52991711], [23449419, 85788960], [99131495, 54685097], [53406530, 61978717], [22031782, 43945499], [22902303, 98679897], [30136235, 9405925], [2237285, 32126856], [39694737, 69978129], [18164592, 42897111], [48282533, 89798347], [88206065, 61749442], [70909379, 55607822], [10875786, 46937351], [24390168, 43948172], [42847046, 60698135], [70190184, 53431481], [42039096, 38634322], [39216924, 68284973], [19899183, 81269081], [23900861, 62829277], [80103335, 19458073], [88076700, 5043352], [28179806, 90344252], [60473952, 90686549], [85082281, 6995274], [39681928, 73005040], [29090986, 61383948], [48951249, 58177113], [50878608, 67725103], [53945896, 65270367], [79273358, 62438220], [58480519, 14802879], [41326734, 79007887], [92567128, 78960587], [41871228, 10250397], [52627749, 98164037], [82775015, 75849438], [12746806, 37916482], [41834007, 19251861], [93027062, 56818418], [3148460, 75785392], [41399350, 78460400], [16208121, 26093801], [40914549, 85699731], [5459827, 93755907], [99657177, 16859199], [9150032, 62307600], [97537982, 35686666], [6602611, 9192232], [13946704, 22249478], [96519246, 9134514], [95172852, 97441872], [11197875, 39381489], [81006929, 57701064], [35249685, 61736975], [51948045, 55570471], [23055117, 85571593], [18465179, 5162032], [79148446, 31038791], [62477390, 4238223], [29337948, 68786781], [64365087, 25401011], [4128347, 63267055], [67136025, 69517599], [77345413, 53531676], [27683684, 16028613], [63468148, 92401296], [9017797, 18848773], [49601485, 33757391], [63440920, 97564869], [23140900, 32572896], [57809163, 43370037], [33559176, 13986578], [2557231, 21938724], [69836959, 23895309], [52708364, 2171386], [86408538, 21052273], [43540998, 11666086], [78096762, 51082392], [54565371, 556011], [98516355, 1256419], [64074575, 82970711], [5895769, 7937961], [80125278, 76545407], [22937849, 5850688], [15134144, 69875747], [43777966, 28733964], [6323034, 89553829], [23453459, 73980975], [91007690, 33449767], [95263544, 73191043], [74162379, 77180516], [21774687, 20758770], [62679058, 36036174], [54685345, 47452457], [20429517, 75050636], [73109530, 17328819], [1066361, 90697552], [3069595, 57516426], [67980524, 50103317], [35766223, 19536960], [83671623, 25042027], [31218019, 33774954], [70545987, 85737192], [2990713, 53147853], [45789578, 33355986], [2260443, 45086066], [29063031, 89165605], [65959036, 85744526], [75197896, 66665401], [88062765, 97816497], [67248251, 50812124], [55390699, 45923799], [32410216, 73199637], [34062219, 58465680], [8232585, 38501230], [40397530, 28348588], [70188929, 23023755], [6240183, 15260761], [6067612, 75196864], [582618, 47815252], [72291625, 25185017], [28634843, 44990460], [55853196, 46140821], [23285542, 11699213], [68963849, 70484232], [29030767, 18596212], [58782644, 62441027], [36741320, 54903877], [68614108, 88271462], [57681164, 99647770], [7012316, 26369434], [43529323, 27979956], [4078006, 32996448], [90146463, 63672825], [21548380, 80118543], [54547869, 70754636], [96223108, 44541374], [57851540, 33659620], [33312416, 11867753], [21381135, 21070457], [59379097, 58561433], [65361707, 67463466], [29960192, 37955614], [83036601, 11941324], [82472585, 91285284], [80588363, 27553035], [56147563, 96321122], [34936873, 69644251], [30098602, 90880370], [33953940, 99712333], [12042503, 98556932], [27471985, 71626867], [31277927, 67882452], [88660910, 26318453], [30119213, 36078785], [42921863, 36033900], [73471088, 87501083], [37225420, 95717413], [47171337, 79490069], [28161803, 80888579], [79074328, 48861494], [15162121, 73418116], [48040747, 17790890], [77098475, 72057368], [38099474, 66060196], [90358669, 27837926], [20122391, 84578167], [77720774, 62628886], [25841179, 33949227], [31046456, 47738348], [36179024, 25136610], [55306236, 43266966], [20121428, 82033383], [84146532, 76005791], [7274936, 13450507], [54715612, 41279287], [35769941, 86966877], [1816529, 40897751], [5107640, 44903308], [41016189, 11080566], [23357597, 48649132], [9317624, 2146083], [50184997, 38234404], [3041283, 79904113], [95424394, 46454242], [97962436, 15068406], [80313377, 6313083], [81336003, 34565758], [76736633, 994154], [13264193, 90814513], [31836965, 85836380], [85449516, 55959783], [35476247, 48575550], [24844225, 16631616], [48366001, 34487191], [25790788, 62444776], [89457993, 74891524], [72978083, 24477778], [47321247, 66809507], [5186030, 35715949], [71954141, 68112697], [78631028, 54685217], [74052686, 94929208], [81549152, 67055398], [15902585, 3459169], [76897462, 86424759], [70224403, 66241718], [78670056, 39243050], [5472598, 1738840], [16146824, 86933168], [70447834, 46397813], [77649076, 15775130], [55114241, 46160122], [45598229, 27583644], [59261242, 34535567], [51014711, 60629676], [68664265, 60647437], [67399823, 2443149], [79624703, 49953286], [73224072, 12735422], [78806497, 80575737], [43617727, 32716840], [56859430, 45669529], [97286221, 90860842], [50914939, 82078623], [97270902, 76401980], [23871380, 89479369], [44430154, 62569880], [24923097, 45589954], [20151613, 51308347], [89322518, 91650680], [46771855, 42908936], [34394248, 97231511], [69499110, 11309773], [94654493, 5344729], [59682719, 67805768], [4496922, 28134144], [82839489, 5056623], [68705088, 35297388], [72536346, 24549123], [49232287, 67269583], [79350968, 24975525], [89165101, 7469517], [47261284, 31341386], [64484529, 98662901], [53485213, 41898663], [72274641, 38754017], [92477396, 37548160], [40160538, 76577026], [93604805, 81353278], [94801229, 1270013], [98667783, 13495895], [80615507, 83671247], [33479905, 266054], [80212512, 45256029], [6402266, 79859986], [17888644, 93757606], [23087061, 54284897], [23500422, 34401329], [84331047, 25119115], [26321775, 14662453], [62822185, 35943214], [72468125, 79317043], [42868684, 57621898], [77734617, 61430565], [84120025, 31764014], [55839827, 7650454], [74024743, 86185951], [94634335, 51978888], [68055057, 15980673], [59619775, 78028812], [28387619, 44300419], [51153214, 88861549], [20362968, 66685209], [20776328, 19743911], [31858214, 77331061], [65305435, 11114637], [30885283, 34331602], [14543654, 50224083], [20619122, 74399311], [97521426, 95618455], [91221707, 53146672], [94929298, 56712535], [88715251, 7025497], [66470282, 48564742], [92487991, 86541743], [75569010, 21485792], [45537377, 87747346], [81531080, 35428510], [67882386, 73072783], [71163554, 30217087], [23431970, 91297217], [89288616, 21021540], [45048604, 37227405], [71275150, 95744872], [19726336, 58809750], [35154531, 86229564], [12845698, 7220147], [56182754, 46525021], [65996045, 75056687], [21403768, 23657076], [69290781, 5418170], [2427099, 47387086], [89849885, 47160163], [57187016, 44667181], [49920797, 12932121], [17395926, 48697044], [11994926, 49415544], [72410607, 14845251], [81396874, 12066805], [76888975, 14214642], [83273428, 84773997], [20699364, 87858363], [82427258, 83265383], [59094752, 59361880], [95707274, 25922330], [29533169, 33592631], [14199470, 64384001], [52356710, 19515122], [4890410, 17309703], [93713331, 52196013], [99212005, 26078674], [17539964, 12370724], [98023753, 75415456], [6788044, 40329142], [5988209, 13881925], [54494548, 84115648], [53717476, 15431885], [58340211, 89998645], [86091196, 28055251], [62876176, 65308878], [29896148, 13459466], [79877348, 75711226], [9405466, 38330101], [64197569, 56728088], [40663224, 67526827], [74565983, 50632585], [42099285, 73170984], [34443370, 74070944], [36566039, 20923100], [93074245, 43317326], [21854620, 93962672], [51506315, 47530121], [18981859, 31444333], [98400488, 65410704], [90099161, 72538481], [78392112, 10599197], [90145135, 95867772], [51949654, 84522043], [29961793, 46311692], [2610316, 66307824], [25911334, 65561541], [46989155, 82291620], [11491472, 352249], [82393663, 95311912], [53032319, 13574386], [92812216, 68012609], [47297671, 47964959], [62153600, 28340207], [80776099, 32868930], [91051452, 42091758], [7490490, 44381479], [54576428, 37993647], [91161954, 56507849], [19345807, 44842550], [47772469, 46161709], [25833026, 86938021], [99830882, 34770069], [14232182, 61303248], [31695587, 69558526], [50192054, 64104895], [42223528, 51238076], [13142498, 7124388], [30260812, 10590123], [31462669, 30449045], [7301706, 89473066], [71044938, 19230779], [56792810, 25871630], [20162607, 85382817], [6853027, 57294165], [16709957, 34974157], [33450380, 51671617], [5070487, 69795507], [40143648, 3427790], [8363472, 30484665], [87507697, 14178127], [31021905, 25937262], [62884760, 68256024], [10451784, 45247697], [79577904, 30994506], [80903237, 41056937], [2262828, 6197640], [2427704, 49358130], [78896234, 44098671], [62992916, 12395511], [32005026, 12135227], [73649190, 6433333], [82754225, 17761837], [84463326, 48645549], [55505320, 70788452], [50189806, 93162200], [25390877, 10211412], [6035882, 98809948], [67910521, 29308277], [35906825, 57978307], [9988352, 71726872], [71704426, 57923575], [61860473, 13224822], [48456038, 92532669], [82684879, 46033585], [60661682, 78948008], [77898468, 90267733], [36907908, 79924370], [7260893, 90568827], [38561860, 14429084], [18498381, 79598860], [39548963, 42155955], [93364160, 27132698], [31167461, 26684749], [50192209, 17975534], [22456433, 9559084], [69207729, 65289552], [27835893, 46818926], [5921869, 76700049], [61316960, 24611870], [79740856, 36642474], [96041145, 70988626], [43155392, 54362842], [94668362, 49831624], [81922031, 62586808], [66510563, 76419368], [31527512, 94835126], [54009585, 6379125], [95043859, 23074162], [9719856, 51960438], [6620518, 92219861], [11037915, 58164018], [64468213, 67572732], [37113893, 1844427], [15484645, 37223254], [26107940, 16334462], [43821274, 13673244], [11870972, 63412886], [6261433, 67803042], [34105179, 91662448], [85414370, 64454151], [94455992, 82737834], [83712425, 93552470], [95401089, 73795975], [76003588, 60920091], [24440263, 56810980], [46406941, 77856464], [90329015, 82215467], [61678199, 9167857], [17981738, 56383967], [56377126, 96430172], [32667779, 87318594], [23356865, 42474505], [77408830, 9812713], [92753895, 35044584], [7375657, 79412152], [36184926, 206258], [22101771, 14233938], [42911783, 37636974], [28829223, 6235376], [57607675, 80617191], [82610337, 46854611], [21192852, 96147761], [16516511, 65235014], [68228697, 88121189], [52694316, 23422001], [76588087, 94629915], [2835529, 32319416], [55437190, 90411516], [55148432, 46035873], [82129770, 39876597], [49810974, 8586229], [54306806, 19470645], [52204637, 28707087], [84207062, 88661011], [21944022, 38081406], [32273049, 96960493], [19832881, 9356854], [26086722, 97070775], [23523784, 80413789], [33744324, 50047421], [24067506, 39731379], [41488411, 38453788], [3986602, 81486354], [66121657, 12338390], [66935851, 30050772], [12649694, 96302004], [58520388, 44400262], [16494313, 68872579], [12998373, 57408677], [92601610, 82925325], [41481150, 16955747], [38049555, 45554176], [34844934, 20906589], [33913945, 5681784], [23257696, 61733276], [53185880, 95490486], [72836078, 30717624], [95505064, 8016258], [4772417, 13112345], [88173226, 98969799], [51076916, 67650093], [74818365, 67492730], [75546257, 4362025], [55368365, 3122468], [48972216, 53932477], [34607622, 753280], [46807968, 63570576], [17116431, 54749130], [40486809, 16262921], [97780630, 73320594], [77891366, 33635007], [11438683, 62104220], [97505392, 65943782], [73950682, 90248962], [54311526, 62875331], [5537762, 50691726], [57308337, 78291176], [59005076, 8906439], [47564451, 65299914], [48763842, 96458398], [18890896, 94376896], [37732331, 40217489], [71762916, 68448528], [54678986, 83938268], [39128228, 46584857], [41090871, 69994504], [47609381, 79033267], [46756097, 34120142], [19994455, 91138250], [46631290, 76254822], [53727877, 4301502], [27919244, 80496571], [64621445, 99072751], [96886183, 43351703], [8280356, 63424524], [7425001, 99127943], [55870512, 26992644], [85760368, 60334866], [57419992, 95284183], [72795796, 20262247], [63971176, 18801631], [30295198, 75711759], [83715644, 19752266], [62666361, 25781449], [92628208, 39585247], [37526249, 52692935], [63230640, 36442114], [67437158, 33657472], [41594729, 53667494], [69082469, 47478589], [32966888, 77027527], [43905610, 93551961], [84348674, 53554480], [66573048, 81677398], [54531371, 73961160], [33269964, 33161276], [87246534, 3092384], [59837452, 289272], [21376739, 10855723], [96389299, 74690206], [39680481, 44685343], [80300965, 18458911], [36340422, 41727751], [47690995, 45810250], [56869705, 60949380], [4627096, 76392736], [26645499, 10903496], [34921502, 57476623], [97052691, 2970798], [22476629, 99753286], [35001557, 4417462], [67357157, 47002803], [28630293, 45068532], [95056703, 88074989], [6356744, 22341960], [48665880, 73635056], [94668990, 73875720], [41804937, 89570015], [96486307, 94964126], [86710832, 38181436], [85753355, 45534020], [58383685, 23634092], [63005762, 47790502], [53309392, 12672373], [31796929, 54198853], [68800592, 95391467], [7019156, 94623435], [50987663, 2926701], [40655287, 93505420], [67002605, 29063121], [24924603, 44933370], [60514633, 92532526], [59714971, 31257004], [17247250, 24142166], [16889492, 6083959], [57920901, 73230069], [15914266, 23333950], [32958025, 69508168], [52928769, 75872812], [41644525, 35142556], [67472462, 38360261], [92408534, 10632338], [13882706, 62205796], [46597495, 23692966], [81453920, 46863183], [24104421, 97478152], [48213183, 6624931], [99115379, 22439695], [84438131, 94276110], [16610225, 53268595], [32824754, 33177123], [10908361, 75661519], [91496388, 1873136], [58995339, 20295834], [84498617, 77665761], [29856994, 60217893], [89270902, 41574779], [58142811, 53755979], [9531259, 59526606], [97299256, 24914440], [34131321, 73778300], [25833584, 7401513], [67064323, 81171276], [82203355, 36401310], [21601325, 88541251], [59173842, 14787978], [53887975, 3409080], [1581765, 83923774], [5975850, 22119699], [28395524, 49427190], [49845470, 33710537], [28336895, 9518917], [85770586, 4384342], [48629082, 11240972], [58928195, 64283396], [67309672, 43913409], [33761687, 1429098], [40559979, 19090695], [54588938, 20435350], [13033009, 89557474], [61494129, 90107122], [67587018, 80790062], [89564716, 96913177], [59149087, 47058412], [31855225, 4543015], [81030400, 19223301], [90690913, 58859284], [65823345, 25819343], [67048837, 53879653], [64363250, 68022979], [98381895, 24784163], [19515576, 15526200], [33296292, 38268925], [55646360, 18485986], [65431676, 34668544], [51129632, 56679780], [68828452, 36890205], [59134165, 50786619], [15515858, 31267195], [26968576, 27092495], [14330981, 99760775], [58229584, 42478013], [68713329, 17195658], [17585970, 38509922], [87102043, 58641951], [30339178, 63488783], [70699056, 73983151], [511220, 9601569], [83980227, 8507078], [53317790, 54228138], [62744324, 78360366], [5571962, 47368560], [92868224, 51776053], [30654861, 52771431], [70550491, 1975664], [95403841, 46225110], [14882681, 43897271], [75934290, 78883505], [83482163, 74309743], [41708740, 42476236], [94629121, 49440104], [52631551, 13419952], [48098069, 25335398], [36638107, 628703], [21261196, 26116705], [59278358, 95861570], [96921320, 13380907], [52139392, 57457716], [13985074, 58922588], [24571358, 8935243], [21442452, 161721], [51672701, 29360294], [12611773, 95996648], [52334330, 79631007], [68103312, 79654579], [61499511, 8128976], [81808486, 23976035], [69218764, 66838878], [56015551, 85475362], [95479807, 53077136], [17131293, 46054130], [41606408, 98575510], [52191759, 75344317], [15945599, 99126514], [48192674, 72017027], [52473109, 54037206], [51322263, 43913924], [31981205, 5761579], [13004884, 13745491], [65607583, 90305208], [43341614, 74709798], [9325196, 47385685], [73848450, 30981186], [51360243, 36756024], [33375272, 42688079], [1024235, 439649], [2560781, 72472832], [56181299, 34956826], [26390112, 20984401], [82631985, 72840722], [4231729, 98853500], [38019047, 32839533], [98580299, 9539642], [41720824, 20196712], [11962104, 15898561], [59665965, 12970455], [3692721, 80653028], [37127923, 9323197], [9507012, 12002624], [60884972, 13766019], [95504906, 65671422], [80783642, 18472586], [32168058, 42209193], [66142756, 83533363], [20827533, 43216562], [53767561, 56875824], [73399114, 69362554], [64376786, 9647706], [79773983, 53926426], [82211934, 62843916], [55043241, 78250543], [45128539, 41624247], [39645186, 22034590], [59148868, 33652133], [60899190, 98778064], [11318161, 97044146], [11866628, 49492105], [35959567, 93883381], [1733386, 14808161], [57248571, 11181663], [6026465, 2165340], [84085877, 97002772], [86646104, 55639025], [88035639, 20388196], [54458444, 63554323], [72535915, 98221773], [37784666, 25398179], [8106938, 52781535], [62046520, 7946262], [40029070, 49905981], [57702614, 74632178], [38888868, 23985078], [27433377, 15737403], [8569034, 56192510], [18635100, 53199493], [23805814, 47115680], [37234896, 38701024], [73390632, 66959426], [27155673, 31303762], [44239662, 45089416], [51216512, 62072126], [95003446, 58312206], [14197347, 98800713], [30325197, 53354790], [52267402, 50070209], [63963656, 95828976], [88871781, 39976345], [54080747, 64961145], [43114168, 32303993], [43819389, 34671845], [13243654, 89352822], [35002462, 52910128], [57099955, 127459], [93231770, 94929040], [99166267, 49775105], [73045534, 7358691], [93833050, 59117040], [97471915, 14230595], [72151431, 19044827], [46639898, 66785109], [71588715, 60275520], [63580821, 23801167], [1939545, 3370152], [47393098, 74884807], [74924132, 35712751], [25022398, 15347866], [32026838, 17633065], [17979910, 26786921], [497771, 5410776], [36580003, 64519268], [85868453, 2286333], [61014550, 9568064], [34492746, 38982191], [35717446, 7356025], [96002681, 28974852], [27759456, 73324328], [47950881, 33254129], [12315907, 92970519], [25868038, 8411399], [44925162, 31860314], [93737479, 45671232], [24450512, 2141280], [15872405, 93890584], [58253613, 65764519], [11147544, 11226672], [82909267, 88259470], [39165063, 84920152], [42580715, 10799125], [37264102, 2120795], [59419568, 63401386], [22834313, 82956207], [70249732, 41251172], [95607968, 19565033], [89928928, 19152640], [86513271, 89656939], [33300169, 16677298], [66985736, 93748847], [88652215, 68807669], [39276824, 27230316], [68276299, 75666343], [29508313, 3588204], [89676947, 51654795], [94575488, 98562873], [10186422, 88026221], [49388683, 14147131], [81338602, 53271376], [37170872, 64296191], [10322552, 63053024], [47330922, 19750502], [17717409, 73143435], [20665547, 99411413], [35122832, 69240601], [61693030, 37232269], [10090966, 18765475], [60510327, 7566788], [820764, 32136197], [86518562, 44115455], [17427335, 88690866], [81816758, 70169449], [16543448, 19737480], [78285293, 26740321], [50292835, 34858009], [57180953, 11380709], [54658768, 24539297], [57930233, 92541386], [79446757, 7653942], [94505479, 35551036], [40726833, 10575396], [91472396, 86285815], [30713647, 45231687], [67959974, 18747689], [41798695, 50173704], [16044601, 60478340], [26820329, 64007584], [47836018, 9477088], [95851301, 84863708], [90435662, 43526503], [33996946, 22671988], [44115049, 1946935], [7975003, 72556068], [62252502, 63972871], [24071428, 15112576], [68341367, 54274311], [23978075, 24455549], [55987652, 32925239], [62056830, 13398299], [85765786, 8803521], [64021754, 64294200], [28154467, 43392120], [59451402, 71305632], [71036621, 65198131], [9373664, 81695606], [26063902, 15338378], [20956587, 37611282], [56369792, 73338797], [66704616, 42277251], [1270904, 63206875], [79302128, 32754297], [71346488, 70814102], [69964850, 46111659], [31797806, 38619008], [54255701, 30194384], [8619806, 61816457], [59826579, 80356382], [40442393, 48560522], [62793431, 36754513], [25625430, 78300923], [83578431, 34912726], [27666194, 97963739], [14729989, 70599017], [49612417, 58622684], [37785683, 92795629], [78751001, 17636658], [45362273, 43242853], [79402434, 19568334], [13159547, 91737318], [76878810, 96841995], [27973215, 84278268], [15155510, 57344621], [57251060, 33664732], [28364862, 41922740], [50332394, 84527475], [69712092, 4531578], [20222213, 95373113], [31346814, 858234], [29693624, 61675439], [31104248, 9105783], [12094660, 42823913], [98161134, 85721142], [40100257, 12615683], [46535735, 95257895], [28448490, 67784186], [96581258, 71204339], [81927539, 2464676], [85897867, 81894105], [50662091, 43321184], [50363114, 73439486], [27049760, 66036162], [76963021, 15001653], [89515811, 41692390], [39374097, 1398284], [2459039, 5380146], [31105429, 64245582], [64055584, 38697830], [40032067, 22626653], [3339865, 82476166], [31282306, 247100], [21438582, 26825936], [20777805, 62148603], [47111110, 19213098], [11445576, 60721155], [81153784, 21347735], [9459953, 1862377], [63632149, 66038637], [85816042, 95353008], [65601735, 78778067], [89337036, 52948096], [74718119, 22696961], [23016812, 66661077], [40047654, 86985369], [87584556, 39740578], [41023949, 8988465], [40914435, 56583049], [32840196, 43562139], [26614796, 79133225], [10844059, 41911978], [89217652, 60091127], [21804764, 3065107], [54955029, 24797739], [54134827, 21876526], [30293661, 67468707], [70421374, 35655519], [36926101, 11001980], [12729595, 78389297], [80742238, 41622770], [60675792, 95648039], [96122465, 5909911], [24330510, 12882343], [7390309, 59422802], [29885874, 69316649], [45496054, 73117516], [940480, 62358269], [47714296, 5916262], [20602738, 72279473], [69516106, 76687199], [50345170, 30373076], [57406892, 56271448], [15252380, 87125631], [67055079, 45718615], [14799488, 99574568], [34764975, 51695983], [1402105, 73703823], [45977988, 95424461], [46378172, 25721356], [95093060, 54659730], [48496928, 79776806], [74995650, 43410261], [2647292, 80353823], [14854466, 35360349], [99265303, 32607981], [16138652, 16344438], [29055699, 51529650], [26461102, 31205183], [22947699, 66435709], [44291270, 21552146], [41957884, 29837345], [5943595, 28892095], [32595972, 25039541], [91759211, 21725525], [87551012, 84645632], [42130334, 73141181], [2420364, 17210199], [17903162, 71077957], [58798459, 41026265], [52484871, 59891658], [93522655, 55506199], [36570606, 43235408], [52365843, 45443269], [89708411, 21053314], [16002578, 4849616], [63086832, 84830860], [1248072, 35416934], [83061711, 81144149], [13229480, 4851761], [27181503, 72646980], [82438869, 22870537], [40813774, 23454629], [97970558, 51233562], [83457312, 9745255], [76142392, 71714616], [86990571, 93960155], [98575041, 40721337], [3464057, 36876222], [9326, 90242183], [67721656, 36111025], [43373390, 54806541], [84389717, 69203694], [71477211, 12305628], [32794041, 4816841], [91055779, 45473692], [15264304, 37515545], [70632277, 85965106], [76308794, 60833769], [56166409, 49882706], [92887615, 74413644], [70666760, 50986845], [98381176, 11744456], [37754215, 52780702], [13718236, 84057732], [95180566, 30146549], [20797812, 13334488], [67961700, 12120430], [9082585, 48193801], [59985189, 35594279], [19623123, 67938820], [31986219, 36306853], [45816335, 9554808], [46795056, 59150471], [57550362, 61566264], [69001305, 74895363], [50958801, 12794951], [86015969, 69901272], [59245897, 84640800], [93883453, 80574112], [29846740, 80843465], [3433473, 57153048], [92175160, 2846956], [29201284, 15889438], [29659494, 8578463], [62049639, 47042474], [88412434, 45532154], [55058384, 49222587], [31812855, 25465468], [85330997, 39401598], [3866449, 39127543], [52286916, 29943691], [6679131, 19802038], [89650209, 42226178], [79255669, 92363237], [80414375, 36568085], [89139344, 41516190], [45030278, 46690455], [21606575, 53717496], [92000911, 76507294], [44576379, 10088046], [48795094, 2435816], [51575590, 76493119], [73191953, 58879742], [84583565, 58309999], [97299972, 24226458], [27400690, 34422209], [2134642, 38433510], [33043120, 96340302], [57667937, 81437773], [71886214, 36159432], [43583025, 70990513], [23721025, 20677981], [76636596, 88924723], [8940668, 83699492], [2297445, 33370667], [37605692, 45483907], [80848683, 27360849], [60667374, 60020252], [60742979, 98515509], [34936115, 61672374], [85807502, 81479550], [78138979, 13375418], [895216, 8668524], [12478351, 77835380], [37137038, 89392559], [8619462, 11833723], [58171783, 34044715], [90372318, 28969862], [6822108, 32067666], [86686230, 53500939], [66679562, 66088210], [23221477, 15803411], [79141478, 8804544], [20627034, 44272023], [23602915, 4337627], [9526195, 21134261], [78310236, 61720949], [13567513, 59944537], [76037823, 1679903], [85226418, 50393632], [68811301, 31670256], [78985683, 5828585], [29408685, 37332740], [56590682, 66565537], [69616529, 74037465], [99712377, 30999461], [56105423, 26189677], [1076850, 30440449], [26973580, 46533865], [43228080, 31388951], [83401077, 93151344], [92579092, 30370447], [24226539, 62591439], [5817903, 20562384], [66918853, 95176102], [28369873, 40481132], [48998412, 44349855], [10182637, 10084597], [47414386, 55540639], [31076042, 20376723], [90832158, 46755543], [67564878, 63852976], [84936307, 33016350], [80365931, 49586626], [66040008, 55481592], [42428240, 67108552], [59595653, 30724211], [21935418, 18297652], [71237120, 49049964], [25915750, 64399261], [91496168, 42454415], [85072047, 38874365], [72572176, 64786753], [36838939, 97590243], [97965698, 34973537], [86330266, 37054580], [58003273, 82680369], [82534210, 44844573], [12759223, 67147046], [33153251, 97899180], [74645543, 87286132], [90479532, 61723145], [43572135, 32447720], [84007959, 83744220], [76843052, 17413179], [89844678, 39228242], [54638871, 55058514], [92486196, 5230329], [15100011, 91765539], [74188001, 21237093], [72901744, 69469006], [40386635, 44244583], [90700047, 21000984], [22957275, 67739716], [11924275, 19068351], [46692885, 9624531], [32684758, 70491013], [49708361, 64335161], [90790024, 75174734], [60133758, 16300708], [18520743, 89388803], [14128825, 44293692], [22500698, 65168581], [64363543, 1432026], [72199652, 8238747], [53189616, 33684356], [50330747, 8058228], [50525807, 72669058], [54779026, 3296151], [6733329, 92095397], [64147691, 42141504], [10077956, 31949458], [93407030, 46352637], [30209657, 12474456], [84616150, 18963565], [42944537, 30776231], [49670917, 35273570], [57271522, 47361033], [85698196, 31702696], [98295903, 98462284], [41596994, 27830071], [86305880, 1394098], [92394897, 40955704], [63955408, 1427591], [39089519, 44994749], [5674488, 23747901], [38230671, 76237326], [66731338, 49818148], [7973033, 62315531], [920830, 58700498], [56894797, 44862064], [30001345, 37233396], [54957323, 66264368], [14977913, 69478192], [29298038, 33956555], [40345999, 62737473], [90971215, 34602806], [41757635, 6867273], [31696363, 59019032], [1365376, 93590339], [31420578, 60850516], [5590188, 22538495], [88986765, 86151632], [77140869, 91604270], [21220949, 19252190], [48066631, 36111740], [96727489, 36596636], [3435283, 57079799], [47989064, 26821349], [38342003, 88663181], [37951380, 84509343], [2281815, 9387913], [48927856, 41225925], [82837070, 32649666], [57743611, 5192013], [10473192, 71454631], [80510861, 28663977], [80096891, 11376580], [79505885, 84620721], [77151879, 93334207], [28227514, 89864474], [67659286, 10257971], [37925684, 45280343], [97196944, 54263588], [45339812, 36898094], [80845652, 56906862], [76077737, 78053084], [64310825, 58247396], [18175244, 29500803], [34432891, 23413592], [49203069, 85629326], [10121414, 54796350], [20898228, 30076902], [6744619, 36069376], [29084954, 81690177], [12189383, 59489132], [5760250, 24507611], [78774226, 1974755], [4545761, 31487201], [1478021, 17558336], [46722927, 55794662], [20361703, 37229526], [70278224, 16119885], [78723437, 67633114], [6548397, 84872532], [42325867, 18130187], [81246010, 33289106], [47643857, 99613509], [34054639, 17345072], [85359067, 28295170], [26586995, 31665054], [86628216, 18558203], [62273064, 77840405], [71970212, 23102039], [51466462, 58727453], [68602333, 35153249], [70396674, 14752613], [37985039, 40333410], [33107052, 42681688], [42855064, 26600244], [21142465, 26904972], [92102861, 69597829], [1726704, 20231364], [44805408, 63489584], [96155337, 3077061], [33650365, 26470603], [67309572, 68215256], [64385623, 5468580], [40882732, 85424166], [46114043, 11409674], [71220617, 98218094], [97283527, 27949667], [93647842, 86073662], [87616503, 96087940], [4761601, 71845928], [77496280, 46533852], [79542602, 93265481], [41063771, 63295131], [53239628, 62356995], [26185865, 75385819], [62204853, 67065946], [34858650, 84883673], [24803164, 11540149], [73047311, 38387284], [22207315, 62364711], [85668138, 66622478], [54630468, 19046041], [128536, 27735554], [11189700, 9348352], [90286092, 36226028], [85432220, 74912489], [99198787, 2129059], [9616004, 66738394], [62288218, 72575026], [17820367, 1975466], [60005189, 74437450], [36163062, 55910252], [74209448, 8204929], [85809462, 19413686], [68496643, 27084027], [41897799, 38395198], [53322767, 58761883], [37041484, 19331021], [95402304, 33084972], [68935409, 17623994], [44250710, 47684533], [42790821, 80933105], [53707566, 88765510], [65340553, 60292592], [50020752, 5087886], [4452920, 65144466], [10130141, 17730394], [19594033, 97656590], [86686860, 67344514], [91555330, 67573740], [49942905, 11467282], [61210208, 92433287], [38427596, 28969029], [55475418, 24442392], [88430628, 98678003], [13850202, 42076922], [53983723, 8185868], [45175071, 91991157], [35241241, 81028437], [92835994, 57167457], [91218395, 40540372], [26630375, 94542007], [34507749, 82156792], [87998828, 87497888], [41377150, 19269738], [80988712, 28536586], [87202136, 1726156], [12745488, 98522277], [9492851, 92362205], [21823897, 97002901], [74918798, 3712732], [37725090, 67504075], [24421027, 67682108], [54513162, 75579304], [18325645, 64491859], [34764424, 54146769], [85514252, 6558276], [92738994, 7764485], [48047425, 79092525], [18639980, 8455563], [84124054, 7898114], [13991049, 19461452], [93635505, 72790378], [50568321, 16119033], [96401459, 16447418], [85878966, 16153177], [62964664, 66999440], [86344409, 62711733], [20694558, 83192606], [43055469, 48187177], [13748831, 35739421], [1710556, 93362392], [26544892, 41677478], [11691034, 67751346], [19276079, 29395221], [73537855, 64092221], [68944966, 85022250], [75918584, 33582478], [56972662, 19814953], [95221934, 20751764], [50897194, 39496782], [20734570, 97587353], [80023936, 17286474], [2278872, 19492350], [46775541, 74604220], [52549394, 74385949], [66229921, 63064064], [62898582, 25533319], [52390993, 43934446], [79271823, 28055651], [43101116, 90408704], [81277978, 38281900], [97302106, 71814290], [47746296, 32389372], [86831075, 4638015], [94985101, 70593668], [61796736, 43054723], [22898238, 22439787], [25600152, 27545316], [98436880, 10714304], [31785423, 20411268], [7794228, 58587417], [21883232, 53887530], [84481139, 30020482], [31421483, 99903300], [5267424, 37794404], [53558486, 13177236], [76435550, 48278506], [45040747, 9189973], [18356286, 72640378], [60232178, 27895874], [8007469, 84681041], [94851238, 45068036], [51128053, 36947576], [28265703, 52973163], [73795319, 29342135], [15969011, 2872300], [50922876, 88242646], [45137989, 12876063], [26012499, 71347741], [92624984, 8494249], [81748892, 77152210], [73014274, 8373852], [51810527, 41598510], [75542891, 91424733], [62041493, 73983673], [79560047, 10102580], [35817140, 35469121], [30574511, 43516748], [90801030, 63685955], [83846000, 34713498], [52478379, 2817630], [6157758, 2200078], [27129081, 33854458], [36398284, 14599532], [74595343, 39967591], [71093688, 47209718], [64143779, 14802080], [39844415, 69690870], [48788030, 71182942], [36153830, 1430604], [47812459, 7249736], [53177767, 52859866], [39286115, 41645809], [65697276, 49459194], [78473142, 80884938], [80030921, 65236123], [93077820, 97644058], [69835434, 1938560], [80124229, 92924917], [76842215, 79234806], [11163439, 68249927], [73423640, 91992947], [99806125, 90787974], [89775693, 32272446], [70700399, 58426258], [68310687, 49747718], [47894411, 39332888], [5012719, 6286772], [35091890, 99474072], [9808411, 42543488], [72100836, 75374162], [34886345, 23784285], [83327194, 71757285], [29147905, 17464723], [92186499, 71758234], [53431234, 32122277], [91346174, 86273227], [42055731, 53146359], [19004066, 66180310], [57984004, 46093001], [26389206, 68039104], [53093926, 58650480], [8023905, 42560123], [79708625, 48083582], [32694132, 10852458], [66165334, 45302041], [18955006, 86158495], [84667402, 89059990], [34363969, 15412078], [31634221, 65169595], [84992588, 93114847], [77405923, 63775194], [60475132, 95703955], [66003307, 9319885], [37480298, 41047502], [34651866, 73567183], [9720625, 41597572], [35673943, 40819857], [2929508, 72251416], [95732768, 50860650], [57005256, 34274424], [40112571, 23299764], [5927227, 83953375], [39605681, 30982217], [46086530, 39283901], [76060759, 53805431], [61706460, 17211552], [52744580, 26948628], [25318136, 51114031], [38006979, 63903236], [42418063, 24463465], [95690470, 14108908], [53447616, 79507604], [27412423, 1231796], [6133662, 89317212], [37284847, 26120808], [10553455, 44126731], [6519934, 92253043], [9626683, 99203314], [44795782, 24371513], [92047192, 84308636], [33934951, 78142838], [71533602, 62759755], [63890550, 26133009], [1363505, 12024810], [21894371, 19426111], [56338788, 80747772], [66669194, 13115238], [23806963, 78513785], [88106580, 54855172], [22020904, 62184663], [27082392, 87054222], [70197450, 52281616], [51086541, 26355885], [90969232, 88189622], [73954690, 71557481], [98013949, 27212253], [91093064, 14275221], [78725821, 81803563], [40228389, 98139249], [10028923, 20372658], [8192119, 76736058], [34559745, 67970243], [34166718, 1918226], [19802943, 34603578], [26249819, 16229111], [12773284, 99165304], [77402173, 78064524], [6188584, 14701505], [81589429, 69916518], [43665778, 94814375], [42900100, 77650370], [54652745, 16979535], [54576338, 6179726], [84343006, 58856763], [64918765, 56541270], [30051862, 19370377], [88856606, 64499506], [314860, 80687211], [45538730, 83358953], [31123735, 28876976], [95066466, 44470357], [45029483, 15656388], [60046935, 48423674], [23450588, 97359433], [93477441, 48715172], [42618088, 21651959], [11410908, 37411209], [60056350, 54302227], [62853216, 51787594], [37156913, 68111343], [97681406, 11406521], [44688119, 95108669], [1935106, 86768871], [93133919, 77515945], [83006018, 61817362], [68124164, 56215151], [9582002, 59042511], [33847884, 31548910], [49225059, 28960275], [34063581, 21912858], [25373646, 64148705], [6682492, 55272108], [58946095, 29964490], [44598184, 11418183], [13849446, 29774409], [83435993, 23771772], [21504333, 85621919], [22293245, 93374177], [3906585, 95758139], [62471034, 26739623], [78492789, 89066619], [29554830, 12225495], [8423478, 25355325], [28800210, 25294832], [10765862, 71734747], [14560629, 74917335], [12919535, 39667526], [77878208, 29429121], [89361180, 40879438], [40851742, 8958184], [20926081, 39903412], [78802888, 65465419], [60560133, 25558218], [59901116, 7696431], [17767932, 9704182], [20539251, 84604861], [66690847, 1155497], [67272782, 18242029], [99000564, 34295688], [54597605, 93827005], [78476986, 66026937], [37484814, 44686533], [41575100, 61305151], [48127252, 34514636], [34934194, 80095847], [8700392, 14585774], [39620429, 62811439], [92726218, 98587447], [4891284, 20648874], [73318098, 55263442], [45321923, 84812317], [24367967, 24970803], [49847952, 34060115], [91872315, 57397208], [57502946, 33069092], [45155825, 58295663], [10904686, 4785773], [45384418, 99916539], [70846502, 28579336], [17794526, 78542727], [36373507, 12759666], [29259305, 36532146], [36968018, 35910424], [90785752, 16868371], [61903194, 90297275], [55066228, 86021535], [4832487, 74927444], [4056285, 90900376], [10693282, 26992865], [11457872, 41233479], [77010180, 62030987], [9791325, 43001495], [45095381, 760475], [32993922, 80967831], [58847341, 43197229], [205985, 43214239], [25931523, 19232404], [21467765, 14458263], [11278059, 44916069], [99262286, 66412561], [97008500, 75571332], [32666692, 77204267], [99153691, 35480017], [55684996, 21333513], [86873710, 2567348], [99468294, 77698833], [46699122, 88483497], [16272312, 86688257], [66373548, 20103213], [83427682, 25846799], [52318480, 86427106], [22125204, 48208604], [18422018, 36916349], [52205514, 90318876], [3997627, 12298412], [74755972, 13927542], [16241112, 63474186], [47550725, 13766153], [53625781, 43481967], [46040267, 8775134], [45751771, 2580925], [11319166, 16181856], [8996243, 13105079], [935768, 90279339], [85137104, 54157962], [94897340, 45034420], [85158798, 58510122], [95731028, 61257281], [18698876, 33691428], [29634842, 88343404], [28717647, 40442491], [59315948, 74647834], [91581907, 51961135], [39569837, 20042530], [29419912, 1474110], [33512792, 87963908], [46114275, 82019789], [72398357, 85295535], [49257980, 79526508], [92737707, 70494301], [47570832, 29152683], [95138786, 78655970], [88229115, 86994678], [26542836, 56405588], [81651226, 23166079], [95394379, 96284528], [56973105, 53752139], [23580645, 9982013], [62824202, 55471883], [2139032, 25204980], [72838517, 78641990], [18734170, 96946412], [27796977, 13795504], [72925404, 57624470], [96271691, 56706781], [38423477, 21381528], [24097317, 88691539], [54681270, 39872701], [83128437, 81167603], [89511943, 5112964], [20435377, 38239225], [2364418, 51612425], [17175482, 66895319], [32610862, 26608453], [57391829, 70272670], [6598947, 55550849], [56529179, 82949798], [3142523, 22730011], [12811466, 66455132], [29521234, 25999424], [90347030, 67821172], [45114907, 38104204], [63690681, 81446605], [44578063, 38521057], [34508049, 55444687], [63964063, 75733019], [83332002, 74427951], [8142247, 71763059], [70867421, 3929026], [50058686, 53166434], [59167453, 46561419], [19680174, 7660138], [58683012, 98576722], [38365897, 45427314], [75157268, 24556256], [2492661, 3635769], [9459486, 93630144], [8260201, 41719966], [15471555, 13566371], [33701789, 58424716], [1044825, 33226813], [91287426, 656747], [48954641, 9154953], [75883046, 39357527], [42306073, 35457677], [22431267, 65196008], [50149756, 66273499], [65028295, 28430339], [67755556, 78988625], [18279032, 88829440], [84617436, 6262867], [94006405, 10596448], [21162808, 53486868], [76434978, 68431292], [33749908, 9670847], [73031801, 76827539], [60539876, 42060717], [68030340, 18720935], [97736961, 8993648], [26794589, 56514109], [75745949, 59851359], [93992903, 44683147], [57293070, 60888586], [91187914, 1942296], [29399215, 97321781], [95902368, 63893950], [69501506, 10390534], [25962910, 36955541], [10582620, 84650680], [33699456, 97749646], [30740153, 55154158], [97885513, 18943709], [98615088, 89894359], [80799566, 72177371], [14079294, 36951929], [17176707, 79801332], [94306059, 27031516], [41714731, 52241830], [76835579, 41031692], [79963273, 47993255], [68715055, 41667347], [63757772, 92613119], [44813806, 20700595], [74323447, 53905005], [62690351, 78418619], [67884041, 49529106], [90734771, 50353624], [78731469, 85207531], [68804049, 46205435], [83519597, 78092226], [53138753, 70074093], [4761226, 15081725], [20492034, 2690653], [79434076, 63250616], [33633298, 34058533], [69870227, 88042813], [87076113, 62640649], [65798168, 63433224], [66251313, 44215822], [42939097, 17651904], [6818842, 89427243], [81149950, 66469962], [48158847, 29610499], [2841588, 10198555], [20332414, 69797594], [82638441, 23134599], [38921698, 50548992], [89593967, 39693735], [46942368, 15480073], [34779112, 30309147], [72834866, 85446638], [7545877, 77699970], [67580180, 332074], [72514435, 77041032], [77734618, 16328447], [10991911, 80495167], [83239407, 84198068], [66204324, 5991238], [58231181, 70069569], [67596541, 92737045], [76703335, 72461558], [67148236, 45451758], [16311213, 59242369], [42258906, 38941858], [35602221, 13757422], [83217598, 75262782], [15554916, 42422478], [34359553, 33972136], [74769475, 64147107], [98387255, 79364889], [44818104, 22358075], [44569578, 52920965], [43413664, 19384057], [26892673, 78791737], [99791796, 8592455], [91719693, 73079920], [56895461, 33670172], [7586862, 80228912], [62890290, 40375629], [77630498, 64320593], [92220470, 51123004], [42454465, 45359112], [79169502, 32798207], [95678484, 93907026], [20876144, 39895858], [37174062, 70977994], [37661969, 34508993], [43995511, 14119258], [88996353, 71001142], [50782414, 9793042], [73146743, 30407007], [17457167, 50235313], [48711613, 676567], [78444767, 99291392], [45658019, 7123931], [51910878, 36451020], [78319229, 60301362], [63824925, 90130589], [5097406, 77592990], [25958597, 76229509], [93536841, 12860881], [90551109, 51369041], [95167243, 88323552], [70573264, 33649984], [3825930, 76165336], [44737607, 64024880], [89261472, 8836617], [6988705, 19885127], [4763113, 73514052], [89247597, 54482672], [67918962, 75355555], [14377652, 46443371], [81851017, 6714394], [60306713, 26903776], [44909485, 22468278], [83572604, 10512178], [40626589, 58261495], [37166078, 56414178], [25014751, 95085191], [39298683, 85697276], [1705710, 4462085], [85010991, 89991356], [51171079, 8850173], [84195094, 93405169], [18055592, 42264398], [51001517, 52076336], [81379690, 24410164], [21340717, 27758483], [60228424, 58955441], [72434260, 90534710], [1435592, 68508563], [45138300, 77080692], [80020214, 95951439], [44357951, 5567731], [65124368, 87716432], [77822202, 55739700], [73953229, 9207558], [29211371, 62498524], [5991811, 81800932], [64702216, 19435668], [14512503, 74148041], [5903546, 82949603], [26354246, 86430229], [26697377, 39243772], [78779614, 3472222], [14935618, 59128457], [3462909, 511747], [75442083, 58738275], [44972755, 37829081], [16920854, 17995349], [28716322, 58796764], [65345132, 41142856], [58299477, 61541993], [33445024, 64243046], [95926060, 82353195], [66431185, 51303061], [79422929, 26360832], [45391846, 17587792], [84758202, 14171903], [39120603, 71082855], [52326003, 69005737], [93080626, 77727962], [97828537, 50097749], [82897192, 97841151], [75839080, 55145372], [30548962, 56560110], [46571082, 45922406], [96488025, 34583741], [4915947, 74588224], [2060964, 92047465], [21009453, 66393807], [73053318, 45894663], [69645221, 50941131], [45017138, 96439630], [56865865, 75370248], [93243251, 4218929], [65816938, 26961420], [46185221, 9762350], [90543114, 40574814], [56274119, 6486864], [62975669, 85799179], [3207460, 64314008], [63552250, 57523847], [59804571, 38243651], [5665714, 67843448], [96684936, 97209124], [49587331, 63584018], [89578644, 40042051], [11405820, 7753631], [63643485, 61244583], [42579169, 63645962], [33386959, 69037072], [26036577, 33301337], [26936749, 16036440], [99963486, 2678314], [57631194, 83542527], [84135830, 40951652], [50314863, 57819429], [44815524, 52320269], [79543959, 56306466], [17159351, 11932409], [35193570, 53241918], [58929389, 55325349], [62269154, 10221168], [73779717, 63765800], [8283010, 978307], [76419552, 41940066], [56319575, 26548376], [51158917, 9791139], [6951074, 65504287], [35935355, 60501829], [85664161, 39106662], [5502641, 62906844], [65597135, 45901512], [41022067, 22982974], [21894135, 19055159], [87555273, 88764730], [73458414, 57245816], [75809313, 45582728], [20295727, 20817444], [19895359, 51094754], [45257345, 75275523], [70082477, 84804450], [84304493, 84786276], [99769628, 74945861], [92492164, 40850418], [75447863, 31510935], [4183711, 80819768], [86024018, 34145573], [41168243, 99699310], [64665228, 18606707], [75110942, 54932610], [8134316, 40506385], [33820530, 55182517], [9041044, 1900158], [17401798, 37043642], [65237871, 18498458], [77283526, 73158181], [45834075, 75306225], [22899019, 48895284], [31749180, 79620597], [89536996, 5970709], [25930823, 81618015], [87353535, 42025863], [61487964, 43061596], [28456553, 85043883], [8746802, 24551204], [79293394, 74908860], [43510805, 96110145], [70109654, 3071681], [14217948, 13233850], [8248965, 3617995], [13114480, 92067931], [49528177, 93203088], [28621845, 66164812], [24005815, 87425127], [70351855, 7534759], [14054957, 9998546], [36141404, 42457329], [65363211, 87709158], [52694874, 75198987], [70721523, 29015811], [27438777, 31857538], [62625565, 88724913], [86958180, 37152232], [44027559, 67052233], [17652484, 45833868], [22931903, 3222738], [62042375, 5104151], [47513476, 92636592], [16119888, 71612466], [81529968, 10495968], [81126474, 22597131], [39750306, 13256618], [29715009, 36087561], [99041024, 12858409], [56270801, 72953492], [88928442, 19344651], [5306318, 98219776], [96240483, 65758506], [91231685, 96043878], [9893997, 78277849], [2168396, 24904152], [40008128, 44805920], [84369072, 58834353], [99450306, 41309490], [9386277, 67898017], [21674418, 65983291], [37055204, 1661945], [38273662, 81173961], [47662237, 29230398], [73685643, 92211522], [67801779, 35973854], [31807320, 61381619], [80328461, 38633241], [84894024, 11499623], [56605004, 25504751], [27962502, 62165153], [68288817, 62048868], [95493630, 71828420], [47730902, 38800234], [12155218, 22830726], [71653205, 72638116], [67960424, 6911944], [99365335, 23924296], [22653352, 99084298], [65520864, 79051940], [17738589, 82122619], [3545254, 14005535], [12526939, 6729669], [22068017, 45824164], [76640917, 156473], [97652704, 13600182], [90728200, 12996443], [20308356, 83702410], [55956223, 24406474], [48873742, 85844690], [23300635, 51190669], [86361815, 68695234], [16927052, 9713390], [14310721, 89161815], [86778891, 29153093], [86332635, 72602261], [67545954, 86289797], [48464471, 86082255], [44573527, 34730150], [70932270, 14415891], [83977175, 76077438], [53219489, 23386282], [95061466, 95360696], [96282612, 17268513], [17691145, 63654920], [26595064, 98175284], [45592427, 16350752], [86813875, 53575479], [10994167, 71565141], [10137847, 57679912], [31240355, 13432907], [16446156, 92227336], [8853765, 57457687], [11023401, 14466357], [45276778, 23215992], [33554506, 11250312], [48479646, 80896281], [25648047, 95167038], [44227245, 3465589], [16416369, 66570706], [20709785, 27573471], [83021348, 86064486], [75695753, 99742044], [59684639, 31865112], [14346888, 15896293], [30004123, 56216736], [46245758, 11298135], [71914094, 92497668], [15535319, 99808799], [62338713, 87613622], [66404816, 6236775], [37163612, 71563711], [37161945, 13049019], [95836448, 99738721], [44053297, 92594018], [71222136, 79843020], [46723036, 50162077], [42428281, 71746509], [61807836, 64133466], [97067037, 9262720], [8817371, 56529385], [97770938, 49991640], [97589079, 97846301], [18687168, 28475464], [53576458, 56343259], [26479213, 40702318], [53660671, 52988699], [95937864, 15825245], [8873295, 90664629], [46191713, 62633434], [77553950, 97770193], [81445412, 73245846], [38986854, 84995071], [55566241, 40531310], [60884008, 41206558], [1349034, 51887469], [9116831, 66291816], [50307199, 11724122], [91116136, 69354650], [79196621, 81920297], [22535424, 60536894], [73866182, 37890985], [17415663, 69828711], [70241870, 2328139], [49521790, 67124702], [77002128, 43106284], [5344892, 62818094], [43068391, 59224899], [30891756, 49574560], [65021657, 17900757], [65234413, 44632715], [73249614, 81583247], [5534416, 83729572], [55845784, 96503303], [66901098, 25088753], [65675631, 96010525], [70108868, 23916298], [21974522, 23525909], [22011740, 73822790], [47855427, 22913070], [18096467, 86862405], [56949219, 4882892], [87954219, 99277018], [25416842, 69106961], [18816679, 17893301], [40935670, 71407230], [88604594, 32891641], [46901141, 92037584], [57214510, 50701222], [95961805, 95977733], [80947454, 10586569], [97101350, 13186275], [32897773, 86871111], [26469234, 4107519], [75458876, 30661265], [70455392, 59926454], [44011488, 28178088], [45934843, 16580572], [3612404, 59442151], [62564428, 65465275], [30250523, 49130995], [20905078, 41459864], [2061480, 25638320], [47987039, 34718803], [59082021, 34461197], [63710061, 37841969], [24900899, 57859421], [31753123, 65835788], [76047888, 45637198], [1447511, 60441230], [85465845, 77943895], [57751535, 30291507], [16542326, 73608183], [42219873, 54134781], [26889187, 63584072], [48603358, 81161803], [42897507, 6483805], [61097045, 93690700], [90919939, 62020910], [50995763, 71576787], [13553592, 28886520], [39686840, 36894733], [81353082, 33695574], [66524620, 969674], [60638127, 37678649], [71338976, 35361597], [73348425, 79280315], [36674442, 56904391], [46475142, 25591290], [99772533, 83538715], [79781796, 27096110], [13313320, 21207257], [9004378, 17068307], [44867937, 39988094], [90639793, 2551036], [61186940, 29835734], [51140684, 64216773], [3272971, 82456664], [18097605, 1061000], [24518625, 89076216], [12431368, 31549149], [59705649, 81887787], [51502342, 6893462], [6012535, 56382787], [15523546, 16081505], [16320009, 76280318], [17205740, 41719938], [74669232, 59016720], [86768566, 84406405], [86347047, 68124366], [86210447, 77444492], [63126354, 51055515], [42112392, 96325410], [11343699, 84522204], [97841253, 57158742], [24643085, 34345309], [18881033, 68674599], [88936913, 13727331], [14841761, 72061342], [32513371, 15356433], [24940253, 29508916], [86022825, 31329117], [55970193, 93507303], [93511934, 91442911], [45443990, 97678744], [77624251, 93672357], [5376772, 9240314], [70129907, 6691698], [94438471, 68450026], [19336183, 38083555], [96177134, 33929755], [50070215, 63580504], [23589060, 37271193], [34223217, 22130963], [40826671, 75680994], [41635849, 57058869], [50922686, 97957289], [74178805, 75558296], [27693397, 83941239], [1155654, 47955284], [22666729, 9762679], [59984393, 4161002], [89834556, 65052705], [2504033, 50674983], [5032937, 6321386], [2339841, 54506141], [17938338, 60180667], [4984409, 45603538], [8383497, 15043635], [83184744, 72813472], [73344256, 20881254], [61201880, 29057684], [41718540, 15056824], [56472663, 17888640], [5406333, 87175989], [15392562, 89408502], [33433237, 34972014], [22518430, 82072960], [51940050, 52551244], [64532950, 25103468], [42582588, 45362212], [79117619, 89330932], [35374374, 72108888], [61835567, 75422843], [38173903, 11860731], [74256188, 40839424], [40447564, 98293931], [27932883, 74673172], [78837366, 458046], [59161016, 92198166], [38171414, 13553501], [93371912, 37021636], [5027199, 30764482], [93735611, 20441560], [56674907, 2752773], [98683512, 57561286], [73972861, 80672866], [63950355, 49242883], [56867491, 9395370], [54453012, 62500511], [23670770, 24303262], [56931151, 32787776], [73795160, 5368723], [78121983, 50937434], [51832708, 65175924], [54244793, 47374212], [14097001, 25727477], [19002779, 31018928], [25696513, 97911780], [25995731, 8565416], [27560841, 53843819], [93734409, 51616922], [6620858, 37784966], [25886831, 69389582], [31859375, 61956759], [16680360, 85530074], [99397057, 40273344], [48677173, 47590426], [7744743, 50161027], [62444468, 96827910], [26071669, 10826479], [84968621, 27854575], [16343629, 49720182], [23610221, 19659923], [77594463, 18896124], [2243914, 34904218], [15585279, 44329027], [38248909, 74038185], [14949153, 52498793], [46406222, 17108506], [61626852, 39231562], [54450869, 75242123], [9143201, 17652611], [50869290, 13089758], [75397471, 45682668], [49056709, 84804650], [40383131, 34928265], [33499960, 8830975], [11007631, 37423405], [58709673, 35074123], [35620241, 23731533], [66558338, 959815], [61936761, 17403017], [55919439, 75129267], [56642079, 8342944], [1088658, 85814969], [18964250, 38409164], [2910770, 73655257], [72589629, 92697543], [22329776, 46580950], [65553540, 60148627], [86630936, 2605547], [70852924, 98280485], [48297495, 9384805], [15819507, 99264642], [65613229, 70226353], [42165923, 97293834], [13566695, 24145334], [63467145, 58531527], [38543042, 96727209], [87932345, 28559193], [27868379, 43225645], [32157338, 40772474], [72602891, 40428088], [88797038, 10818933], [11428448, 81868789], [51143359, 92917520], [38457341, 5214946], [70402998, 97142991], [65763542, 72292355], [90789008, 92780436], [1303604, 72755321], [22430325, 76052409], [7787771, 43911604], [9332053, 58030215], [5127622, 36818899], [7538092, 56796076], [69364720, 76141447], [14582342, 77022179], [15476742, 43418273], [30558272, 39827186], [62819824, 32706678], [43057181, 51533991], [7855902, 74916740], [4682931, 49080700], [55953010, 89467942], [54432601, 85641840], [34517247, 48350782], [96347929, 88890402], [15105801, 84727594], [21386087, 13843228], [87712129, 98958807], [42765305, 54256652], [26901212, 62631337], [52576059, 27218042], [71968337, 51914997], [97912425, 58675362], [46053813, 22435446], [34561349, 90197678], [49574194, 48906576], [8140101, 68316053], [88247764, 98727013], [98155771, 74965919], [98018980, 1003545], [52021764, 61115828], [30700779, 83670083], [55128866, 30427719], [2642100, 61526065], [44542717, 24337676], [6873856, 86782909], [79886026, 51562723], [5817535, 42831921], [68392503, 96227799], [86765444, 55601677], [36965654, 26065936], [37573897, 54236903], [11341431, 24819508], [80330032, 90669731], [64643686, 76059003], [29932969, 58936733], [64772110, 67675044], [25855173, 7039470], [57099285, 13147420], [40158405, 39701019], [61221765, 86520988], [4291336, 34404799], [18238309, 8537699], [96555542, 55915276], [55753743, 30745803], [67026657, 28044839], [25806806, 5385704], [41325400, 6213165], [76872360, 49073540], [54125505, 40987620], [29196710, 13255190], [13022726, 96038331], [85342516, 81618814], [1318452, 86609123], [18500327, 14099824], [12139569, 63451130], [58268593, 15975681], [63233937, 19054950], [81162859, 8036605], [46164896, 85891943], [49348699, 13332560], [55489141, 37683771], [48018262, 84688568], [97802800, 49670248], [62851914, 47067543], [95726278, 75484868], [68629080, 48766346], [26490211, 29841815], [36833711, 90835432], [43204183, 64444120], [92398000, 20269998], [45478979, 5518917], [59493581, 90717194], [66352036, 52482717], [6184414, 76439607], [96484561, 23833584], [39205886, 75786333], [88716722, 4010946], [59572949, 86254790], [74769662, 14126652], [77855682, 32984048], [70620505, 55734905], [61929301, 93881932], [59482954, 37312567], [45887513, 97233460], [46597346, 82114579], [81879798, 86325796], [48059054, 89698637], [19974334, 66927148], [55562463, 2246168], [45733446, 66289163], [41910933, 96723890], [22650523, 59746334], [69908787, 88711193], [8326550, 34963782], [61839468, 27671337], [76320400, 35260970], [28025013, 9609230], [38404364, 98749333], [66756872, 26932122], [92077924, 735737], [12428716, 215630], [11822786, 53024689], [86694647, 1303682], [46647422, 20437091], [86501321, 24850056], [24770549, 92411748], [57249172, 57517460], [89767580, 70123003], [81891557, 90030631], [50606368, 61117196], [80952973, 50960601], [40363439, 77850002], [44057843, 59241073], [27610352, 23452207], [32790287, 54190707], [22010965, 39982445], [37331303, 80760568], [7496686, 46162582], [7949097, 54865731], [54583785, 2844123], [42864736, 66955779], [61850768, 24632599], [57003038, 61443205], [38512960, 24277326], [42025368, 11232688], [63963672, 60245749], [32912514, 23603111], [77192984, 4393310], [7487151, 42905536], [6279591, 73881194], [59604065, 18579622], [68780442, 39947249], [92767244, 68087144], [95995247, 74911460], [48800934, 75349311], [2654014, 39543468], [58659279, 42277737], [17996861, 31935819], [12928097, 16210981], [80687513, 55967777], [52667986, 72960017], [92001176, 31418571], [7547223, 46753241], [81489830, 372731], [29345091, 75328763], [95560470, 89842747], [94786577, 5352233], [61799264, 3922956], [69700587, 48525998], [45484090, 81735483], [73658538, 29612711], [80928538, 86372366], [31279328, 11719768], [83920675, 98677619], [8206373, 55031690], [2756616, 48471295], [49584750, 46603101], [39030508, 11268588], [25397076, 72096839], [20249459, 72611966], [49099648, 93183525], [6585201, 35796691], [80852951, 21503793], [37966185, 54210760], [27991487, 98863970], [14758986, 64532104], [36982353, 72786981], [3284005, 52879191], [91694072, 46624671], [49724361, 5761215], [56672710, 71425903], [66787639, 63982016], [8201599, 50672491], [94568531, 63962669], [51311037, 99978417], [86097384, 75151514], [7751248, 67020620], [64304873, 41741539], [92493071, 71094957], [25369895, 64315423], [93549587, 88608773], [6901396, 1114107], [64637273, 25836314], [64039800, 1099809], [65749908, 15220674], [4263259, 71503275], [20727199, 58341538], [66798553, 88585226], [18727372, 146537], [22228114, 32998675], [45027092, 37501538], [68783116, 44901936], [15931241, 96100401], [9656132, 44689242], [67823665, 77213377], [20026666, 45795632], [72986609, 75174937], [41901198, 48734313], [97769231, 2949170], [53980137, 21415278], [22930705, 64007042], [77865255, 29841742], [16459625, 50372524], [96532031, 80950922], [98681681, 80917452], [95024358, 95708351], [93138278, 19999295], [70087700, 3273409], [86221641, 86438773], [40069119, 71924196], [26441221, 51274714], [1227263, 20834004], [39911302, 87901699], [21560932, 52464886], [73974911, 51027807], [36844688, 59086792], [90914385, 32939047], [47103300, 5714888], [30971131, 96470954], [71415949, 72246735], [94862310, 86064190], [30921186, 96917686], [84890846, 56544747], [18896517, 93141970], [87596917, 81933291], [44437474, 8507415], [88371270, 22066819], [27070667, 76655352], [1127279, 35767611], [51626443, 44101137], [31978762, 80049274], [80242726, 21344467], [37768149, 54924928], [92543814, 13577160], [90808172, 18432220], [39487719, 27778730], [48706835, 35260779], [81247788, 43434073], [4536801, 18749207], [2751735, 83747796], [78446749, 41386697], [64478973, 86557276], [68713944, 46895804], [97436566, 5455845], [11437180, 12214463], [83514893, 73939557], [54663675, 61510198], [43043145, 37501869], [75880930, 92585527], [62144278, 37279280], [69908904, 39754585], [93660372, 12670334], [93095786, 70781095], [56427487, 67878770], [61511197, 35389979], [19188583, 95945182], [80028363, 38887678], [10067213, 47177532], [17613580, 56895406], [28336081, 88044903], [57027775, 80453997], [56086450, 37534469], [96795345, 50302760], [24952786, 62552391], [54616151, 74046326], [88297056, 63595565], [73203930, 974320], [32528637, 32707780], [41917155, 49992314], [21950183, 21138606], [3812057, 87034296], [84903560, 41405835], [5995040, 77488745], [86832689, 24781906], [34128789, 6086224], [32179526, 72502957], [87847569, 95588099], [86361132, 20965253], [20080737, 79724071], [12996452, 31596382], [6562906, 50743455], [30727149, 87301879], [37869359, 53915207], [93424961, 91231394], [57902001, 31718954], [17652127, 27641644], [91989595, 54452266], [49742337, 48145159], [15185701, 19492825], [48018261, 91840666], [51947956, 21273084], [61126540, 13695999], [43031229, 24329213], [52723069, 64814164], [52550471, 56385454], [60956186, 42715420], [45147211, 28948835], [92332980, 68793710], [94309284, 46436110], [70655457, 90754300], [42891059, 77616874], [46180228, 23572344], [52608315, 87470244], [12634479, 85492669], [42920027, 42863797], [24589314, 93218502], [15421780, 75742747], [71737956, 38927125], [3869013, 86257944], [67283659, 90365966], [66070863, 55051473], [60102175, 29834440], [88288894, 75734131], [50718082, 23637324], [26709877, 37755926], [55545817, 2717823], [4532160, 27217106], [54286419, 55459963], [68833019, 7875679], [37009818, 69176029], [33645628, 86942010], [78985995, 78814185], [70366076, 86313148], [52011676, 39703962], [3834510, 40014300], [98089219, 94033545], [63783742, 98247308], [8587920, 48522735], [37803072, 96093585], [13830744, 444694], [66755227, 79081289], [55260227, 24572295], [1333449, 25910823], [79230574, 68806380], [99041266, 15952374], [34000933, 38329952], [892387, 6114601], [33761481, 32394151], [47894226, 12723804], [54173919, 5660202], [48508054, 10096582], [13998074, 29897842], [1577527, 82243416], [80601059, 17405491], [9378155, 56840650], [4221840, 4857754], [6984603, 86995439], [77726902, 74210207], [39218927, 916864], [59729025, 10056589], [86981025, 34742934], [84386911, 24264198], [7792457, 28280039], [88629054, 85504449], [1196128, 17786835], [38530508, 20960095], [4190482, 35540405], [34104606, 7266104], [59684506, 4968217], [72250969, 48946566], [62335079, 5589544], [68988078, 46535385], [67102172, 4536842], [89263709, 53318631], [85836166, 52957296], [39650553, 25883452], [28585239, 33135990], [13482289, 8937219], [65648432, 92531433], [26029766, 30198019], [49602023, 6043302], [49176733, 35864315], [95314635, 33538726], [49126698, 93034250], [54958748, 17251351], [54838510, 21330118], [4979506, 89116833], [13058661, 48192996], [65891007, 4533077], [60278547, 46127385], [71914414, 94712015], [21164706, 26238533], [78578810, 15031233], [34783965, 69944700], [46017440, 80501483], [41155806, 5907641], [89404514, 94845997], [2075114, 51186225], [79357754, 62425927], [63957832, 1239563], [72189463, 65757246], [98476459, 98456714], [58909549, 53217662], [98052086, 552330], [96189508, 28751903], [83758027, 75613496], [61148575, 36051844], [62248834, 40196241], [10129050, 27790965], [50496169, 55932112], [16186085, 95020201], [86841708, 49874452], [16438749, 78553070], [69444334, 37878628], [66109064, 91747094], [55987024, 74522959], [28879302, 72911327], [75662902, 6194964], [29976061, 37338170], [23930834, 76193773], [283970, 34237871], [36001996, 61417164], [34066023, 27200069], [82955258, 67986430], [72722754, 75732171], [3027932, 24134020], [92656563, 60769855], [30596994, 42908319], [44798232, 40322142], [46568432, 32961924], [29399487, 35908883], [36414998, 19114184], [21168912, 27651091], [35853346, 97997925], [82749537, 46405886], [90887944, 59695456], [94584457, 57094685], [34026892, 32397613], [3996360, 79676973], [21424778, 58797850], [46717522, 8645649], [54819903, 47601385], [49714617, 27506748], [68295366, 90032030], [99175505, 43204698], [64720312, 81370160], [28562186, 83558905], [79527708, 89810848], [23945155, 49928236], [62834647, 14238211], [52242845, 51031916], [20775635, 62514144], [45393646, 43424564], [20186765, 51496339], [26047030, 8748656], [70291291, 97360160], [61479856, 11921079], [43310936, 16028228], [49861929, 56048644], [33869570, 97288912], [90308768, 40182538], [77629152, 98348804], [10637383, 4475691], [19104072, 53062837], [20612663, 90174176], [26130188, 68837512], [18956005, 4126037], [8588818, 72607756], [91946606, 28722590], [99867837, 55081928], [897443, 25728338], [44205078, 53797820], [15984096, 59319531], [37031738, 29265876], [46009622, 10594839], [95082902, 91331600], [40209721, 20955746], [52766625, 37185827], [71124232, 83906481], [82449775, 88950818], [45283235, 32479312], [70655418, 66574702], [92726442, 76130161], [74869152, 98807485], [98318526, 37382398], [88435653, 69820648], [10328478, 11968017], [41272960, 16846933], [21171449, 34876523], [30118245, 30743864], [22197179, 89019377], [63875489, 81251823], [42402352, 69096172], [16692103, 5509656], [2654656, 53473793], [80739627, 55417137], [76116280, 27947360], [77378290, 52650067], [26057494, 41347202], [3046244, 37394170], [75957236, 15908101], [87152356, 49173612], [27958087, 79449335], [25934808, 62336253], [71389762, 63101047], [15571454, 71102775], [28487474, 71887395], [66616472, 37538574], [10219793, 17983581], [88621415, 43925952], [84797743, 92552868], [22343564, 8856186], [76162888, 10620401], [82124462, 30323172], [78813361, 80239393], [5697559, 84298908], [77081989, 55234202], [19355676, 50734640], [87515234, 26490463], [98135008, 37529085], [21854526, 93690226], [39276182, 12271865], [67795484, 76150901], [66741209, 20699621], [62628252, 34709288], [70045212, 14030038], [49835673, 64162420], [79581150, 45636046], [35654345, 79830818], [5503314, 81035833], [36303388, 1850630], [50168858, 15648843], [19969763, 28277343], [66861469, 23672559], [64261141, 39592170], [75053573, 33532153], [14411865, 3336752], [2792903, 97870135], [6179754, 78131315], [29273764, 23204701], [26836259, 55421630], [64405867, 55518476], [82459966, 40112318], [86190008, 10163480], [24711320, 30268429], [65685338, 5663752], [73679077, 41921928], [41304315, 23925026], [46841098, 89298578], [16402604, 54195088], [83412160, 24380129], [51710455, 91153027], [11702852, 13469708], [50253913, 33311829], [62566115, 6818191], [8846099, 34833948], [91846497, 43315501], [30764097, 46107440], [85205606, 18152426], [78924173, 55016902], [79800237, 98282778], [38428046, 46560634], [50389093, 7553810], [71554339, 37537645], [41092054, 24533652], [36048564, 72749923], [97101410, 6536364], [81725719, 7361002], [7098809, 12124943], [35120611, 26403713], [58328097, 76420994], [31915605, 42762594], [63162521, 66814080], [62682142, 29660370], [11448849, 32046676], [56737041, 85125574], [16293133, 19217881], [73967947, 81447541], [51497588, 39064388], [24395173, 78127969], [30849495, 3391403], [80087676, 81689493], [41782409, 81165197], [54025775, 83051816], [1986605, 24248478], [65243568, 42644243], [835755, 95352114], [64124145, 35436647], [96712041, 12296731], [24937671, 32193], [29304806, 65390402], [42096501, 49517272], [38152616, 54372111], [97470026, 89506993], [26476174, 18962261], [79909704, 79074832], [37111175, 3339085], [53752064, 28737348], [23975173, 26453863], [37597918, 34711499], [58416478, 90905050], [65894608, 96509703], [94784588, 18333836], [8558956, 47733679], [71862635, 82699839], [77990875, 62245013], [62266942, 41072983], [73696318, 62515334], [27617076, 38068603], [1031430, 88642650], [56819755, 28326408], [20061892, 79678558], [1099613, 26221214], [75485935, 4843048], [9712881, 96345432], [43505896, 20350297], [63540810, 71955027], [68107645, 51074690], [1581620, 6173641], [11904630, 29388189], [59327583, 54653488], [31178307, 78943335], [25567968, 10524006], [41819231, 86701676], [32159031, 47595942], [41469573, 26003656], [17810474, 81980632], [32218393, 77007530], [70344340, 63981125], [25936132, 95947422], [1287465, 82813815], [90860699, 81752060], [28389862, 24164650], [65169158, 96050257], [37014086, 41299307], [49161678, 40966184], [62784920, 67983192], [12769264, 79044997], [21056862, 35384416], [78696931, 51880830], [74129798, 94644463], [84214593, 86540000], [2855692, 46580447], [70439584, 66665446], [888827, 43592824], [50047656, 67029581], [91363147, 84559580], [42660994, 92527603], [32547888, 16729200], [28178303, 93256371], [77933808, 4962130], [37001038, 68196235], [80210562, 2941415], [12529589, 28345064], [63073784, 79492418], [75179668, 35849799], [6279126, 74182026], [67270839, 7083781], [66140442, 34395496], [10770782, 18004192], [93363657, 2784688], [13471336, 75179089], [42912944, 55199202], [86463037, 78921695], [99876897, 22467142], [23983774, 30097799], [52336174, 94154111], [42473857, 51998920], [92216435, 44920116], [1798514, 38569757], [52603512, 17937555], [58170833, 15440045], [18136707, 67246960], [51049201, 80027548], [21018515, 97104696], [56357376, 54325031], [81206613, 50108190], [81727981, 10298337], [69906647, 26219255], [77765321, 90305416], [67705899, 6744481], [90653071, 40848043], [205023, 57117132], [29625250, 52818318], [41919050, 13524326], [24711909, 20127059], [64848340, 91615501], [65751882, 35428190], [29945088, 44733031], [90895836, 29538094], [3486801, 70645381], [55264661, 17099749], [2241874, 82345772], [62590747, 5330859], [24543471, 14953708], [33291984, 12607417], [83135206, 59193217], [50590512, 58073365], [86132564, 77789774], [33247436, 40973477], [44285800, 35707065], [88195052, 74599940], [9312878, 62314285], [35534684, 23207862], [36506352, 64009940], [89283663, 33776132], [69420336, 89776040], [74753484, 27724366], [81592468, 76759680], [46637401, 98197322], [97888646, 18279976], [60483925, 31665301], [21808327, 84497889], [55381079, 97623517], [20920728, 50303890], [45615521, 94551004], [42729948, 16168419], [48768105, 41839704], [86342716, 48977072], [4691548, 45040185], [39546783, 20775704], [3237169, 97596073], [87512234, 98769259], [27316399, 91321765], [54447845, 84017769], [53393227, 10898077], [64390768, 59550689], [86003411, 78761591], [26892582, 35485307], [10205272, 18335051], [64029964, 33765544], [2725917, 46795029], [60440193, 99831823], [23743043, 77325472], [12858119, 58269674], [52165544, 91173145], [91984969, 58694951], [54610323, 53740100], [95805295, 12117473], [89523224, 4751895], [13538598, 34334355], [43184375, 19161120], [86389953, 24025054], [74660407, 2621441], [68121062, 93330513], [24190459, 17637331], [12915166, 25233991], [28732307, 66135510], [49654999, 27916372], [99883608, 7683086], [90322394, 28417425], [36535146, 48395592], [95142499, 90484846], [81120543, 56871087], [18129033, 4981159], [72502487, 50115585], [99372919, 95946199], [8484438, 86834649], [76334991, 31886650], [81932622, 84338104], [88009276, 99941309], [14581297, 11596682], [55921843, 44534778], [5105249, 92755998], [76426001, 8097697], [48659913, 7730763], [66190421, 63383315], [63593748, 74755946], [39461497, 95724788], [32862024, 30493241], [2935047, 9602155], [58955990, 90955680], [42965459, 39917391], [80966171, 62163063], [50056058, 88151683], [85332396, 43681179], [33523035, 66399528], [35537772, 94547722], [10146776, 48533452], [50823883, 27166340], [75934234, 66927539], [75614038, 92076099], [36232491, 47467461], [25297994, 85164309], [77818312, 557185], [85021858, 60929805], [54031604, 84829056], [5976636, 70985015], [79250835, 70151947], [2063725, 85007596], [59258744, 63329871], [26239064, 96258843], [33821677, 28320791], [9984576, 23309156], [23622226, 38700793], [48875846, 66986775], [57874560, 44291471], [72150518, 31504858], [97601285, 68206159], [18650460, 46928865], [86408121, 46900069], [4378247, 41844752], [96838010, 20955141], [54684342, 62266121], [2916340, 67702128], [85038217, 90128663], [11257574, 27090347], [16678403, 48939919], [54090442, 70398093], [22050347, 37399151], [39877713, 60901235], [95617264, 36912915], [96543194, 72290501], [7324044, 15968877], [68006437, 94123106], [19049770, 5288529], [78825861, 43741580], [44060518, 74569204], [79303794, 30245398], [42757941, 95370983], [40220843, 81101867], [55972796, 82759772], [29101562, 62610377], [41729480, 12053251], [23723232, 63668181], [44015109, 12892159], [74193257, 67393172], [85708027, 89607254], [11840660, 76181230], [44798058, 77202723], [44097718, 57564229], [38220203, 1314140], [91607943, 23702244], [49442961, 58058365], [48611224, 47772363], [27460762, 51975194], [82370970, 254133], [18710479, 11784865], [63204891, 77318306], [36683018, 46792777], [61483884, 12025124], [7944748, 23137623], [2030863, 31444327], [7878149, 57194281], [71183240, 88673794], [30673636, 56564764], [45691343, 44873502], [57434586, 93742484], [97426965, 79791731], [87682234, 81552066], [97583078, 72768232], [52135321, 30495365], [35006088, 13621472], [40469282, 54809469], [40142649, 31339557], [85273261, 2052807], [11631605, 16673983], [65074621, 52335910], [9121261, 47569304], [64335607, 61138441], [90676257, 27720343], [7819761, 64888277], [38381344, 83233278], [37954548, 62351557], [30410259, 17854574], [82686435, 99570857], [26272871, 37797360], [17031733, 40222167], [67744597, 82633763], [48752356, 59196152], [2006862, 7487093], [58530659, 43588783], [16215351, 28249580], [86419397, 13271017], [60909634, 55278970], [34299900, 59979239], [13767945, 86203899], [12847819, 91324151], [48053003, 42181571], [71380899, 76978149], [95607940, 3658533], [31326171, 48257692], [48139279, 43842821], [62287302, 32995631], [96899258, 64473807], [14355378, 76297813], [5724391, 84935726], [40307868, 85274780], [75417604, 7097403], [36593132, 97659609], [35932419, 45791185], [90212864, 96111622], [7750111, 62285427], [74004292, 18725876], [98944836, 52189430], [99260112, 11932042], [82359882, 34941047], [91500963, 5163665], [69310699, 22514665], [49087681, 64740282], [31474051, 54640618], [15495537, 99333049], [45316103, 80010974], [88540214, 25585413], [21742624, 2584936], [81973311, 63135302], [45952385, 82121813], [70607654, 89403383], [7248193, 80418032], [60264733, 28310878], [54303421, 24684948], [53599576, 19164915], [55392946, 81661743], [51625202, 53488881], [17403644, 63876524], [92705595, 34568387], [20390614, 49045774], [861755, 73788140], [39253367, 54183744], [962884, 52791732], [21900616, 27313025], [63602327, 53291085], [6000733, 19844170], [93634538, 60704527], [2965262, 45926775], [90786602, 16150501], [37982372, 95598474], [32097217, 19276681], [71261135, 92145325], [25775690, 8303208], [78839771, 51911402], [29946342, 89024316], [19008189, 57573098], [9857238, 81053658], [57013484, 63757792], [27748428, 17266498], [10982277, 68516184], [23630842, 31371132], [61061094, 23135047], [21859781, 99673877], [2355462, 44722953], [306050, 69840231], [47199279, 68221155], [95002170, 83977905], [61562527, 58049900], [95330809, 56508979], [29655960, 12473602], [51750447, 51705381], [28738778, 83347699], [24556622, 84498078], [27169833, 21879190], [50954526, 9396335], [53259967, 96223437], [73955667, 92893881], [20966421, 5217170], [9225141, 41406225], [79818934, 53399394], [35143271, 31890798], [42907733, 14972645], [74180301, 69583425], [47912338, 13148070], [61525815, 86693027], [49616266, 86143023], [42615362, 74738519], [18314975, 86175541], [8316532, 63363709], [87409815, 91404128], [62087706, 20178135], [13330718, 77482444], [32105881, 55788335], [30038857, 71645436], [76368404, 48406916], [74246909, 54672475], [14779535, 30868197], [57352837, 39976549], [73652669, 41774815], [84401815, 34877732], [51921479, 26218390], [13254272, 19842834], [4537207, 44911824], [71855419, 15068012], [14389199, 54248913], [79075956, 50978382], [58854031, 75221645], [24027369, 75893048], [29642664, 56765357], [75893864, 38930580], [28395023, 31092982], [55520472, 91914381], [88968243, 59739], [9835876, 59881245], [122859, 73333589], [78917601, 45946850], [3466378, 14483078], [69388201, 46493702], [68856731, 15864247], [15329146, 12896404], [216780, 49099381], [22635208, 60872107], [20015106, 31903484], [98978145, 25100180], [70180167, 80416661], [99619132, 15636027], [80416115, 98296085], [22194681, 25314159], [84290446, 9435775], [54027094, 88604311], [61653719, 63153739], [94942794, 2122083], [45349980, 60864460], [78796992, 69729825], [31287889, 25869975], [90844144, 30710658], [18327773, 6082261], [15246994, 8817077], [1438984, 78745645], [45371088, 25541080], [19939166, 7604197], [85488974, 30569484], [31212557, 8882218], [55076625, 77505906], [67092006, 85527102], [28177324, 47120194], [47800787, 62954378], [40764971, 20084783], [90142572, 21602463], [80978376, 6935436], [93336336, 30056418], [95962356, 33925037], [69665381, 17799576], [12622379, 81581220], [13508207, 29730674], [78034874, 46652786], [50422460, 89321782], [46019460, 21012925], [13236819, 69421605], [10037983, 78161836], [17659542, 66369690], [33678408, 69934962], [28178178, 70432635], [90101649, 98219271], [52744615, 19191751], [40264290, 63831375], [12870062, 40294139], [27512323, 31252100], [60719298, 87627162], [762008, 81459299], [10285647, 52321449], [47748166, 72078921], [93563241, 23072870], [46987655, 12501873], [23870108, 92702692], [83699820, 67329600], [19365849, 67525348], [3189685, 31198689], [3565074, 98107272], [95608850, 78116413], [95002344, 95851363], [60652590, 65031358], [13566618, 15207207], [84723729, 83242693], [2799590, 14646851], [49473603, 6646517], [81024644, 75685939], [28560073, 92039826], [61792522, 72220368], [41044359, 75937633], [13178912, 74809050], [98396081, 89018891], [94266278, 71611714], [95181391, 88208209], [42112920, 68275075], [46339889, 7229270], [21960512, 49406454], [70360181, 89591417], [51015643, 36143799], [23184644, 18966420], [72985610, 10023114], [60776940, 17336904], [50873117, 97728373], [1245490, 66930856], [9254725, 63986843], [76208106, 3421895], [33783456, 98640027], [26755599, 11140148], [46315884, 23936996], [95902875, 11560020], [1236201, 60532705], [91396797, 84689531], [36087438, 95659537], [38587216, 64921883], [64963165, 64922023], [95235394, 49513623], [84296899, 20448348], [86317454, 96516299], [8322793, 62449460], [55704332, 56640196], [93416410, 94661663], [21882073, 9287264], [37066818, 64689407], [75764303, 64758147], [10280034, 81876711], [77809121, 44545381], [48725393, 98313110], [9634695, 81842367], [68139798, 54477270], [82955152, 44959529], [71880299, 94266135], [48168522, 31267501], [46645343, 37112121], [8786769, 86749233], [32483236, 69180708], [97915331, 39256364], [48568705, 52871590], [4122768, 69394563], [72161140, 8596834], [68257492, 78575734], [55508468, 39517633], [43152662, 19447930], [40641636, 88510171], [50193231, 61261945], [95383096, 85877212], [94313298, 52505878], [17714234, 71792291], [47063474, 53810957], [90482837, 64601474], [74338093, 34154140], [55201928, 31243956], [50630750, 13054423], [19695867, 55099455], [52334473, 88953470], [92779924, 97964402], [49020414, 90671041], [81942520, 90662046], [86825204, 47405252], [89761020, 92332500], [99629325, 76181642], [41748045, 13850621], [50241441, 21787701], [74544478, 5127428], [6954457, 43290702], [97873037, 26723260], [79530163, 67376839], [79012252, 92643906], [51393485, 83262619], [14782827, 67442228], [846937, 68214874], [7031051, 31176737], [71926748, 75140029], [19086566, 87961160], [98780341, 42553077], [22292732, 14153694], [27376458, 58049471], [55976102, 45871905], [96615475, 29656933], [99877428, 27605447], [53614718, 10398512], [32568462, 34301460], [77700409, 51091200], [22891476, 90721241], [27162048, 50749785], [20381652, 4598897], [25021103, 12098762], [30886550, 21462624], [36475703, 56161774], [33998169, 58447444], [13192730, 9993413], [69293397, 28056843], [6054582, 64280047], [95045467, 64922474], [2471509, 21610702], [39663455, 36711097], [77718918, 85480547], [28560771, 27272991], [39509511, 30457186], [68764537, 54844707], [10678664, 85789657], [17979456, 27313692], [8628011, 30708739], [25793707, 30690796], [16198683, 35701930], [73079519, 86350662], [83289798, 21063529], [46689160, 14866557], [81016198, 56322413], [95737161, 23583794], [86619968, 92123668], [91521949, 28607118], [30084099, 31229064], [81774497, 319984], [22938844, 59802297], [96421975, 76377178], [87809928, 25734794], [7622515, 42533038], [86103568, 17487777], [92726455, 30310834], [44135631, 42232556], [95571306, 35011326], [60553034, 36790267], [4691803, 16556788], [44569355, 79128589], [58749422, 18254487], [78359056, 12943950], [43640563, 63497054], [63443457, 46573918], [66328346, 50174588], [30069543, 55085978], [90394130, 1997170], [33968697, 42803953], [93057354, 3814139], [39372994, 13266762], [89920737, 44425535], [95060407, 2839894], [47223396, 19646860], [91706091, 37140689], [29376177, 61598037], [59171991, 48719064], [4959239, 10360643], [74642299, 35028782], [86832197, 8623933], [73692795, 30958299], [66218821, 61460580], [69796683, 51289120], [95962622, 5458931], [89030337, 90877257], [56456289, 85305693], [98943745, 96481621], [28673936, 80622964], [61234743, 41955930], [93665634, 33719647], [23591165, 85968426], [74976337, 3188232], [16066575, 86470571], [42407828, 7077963], [7577196, 22014902], [64658922, 25531717], [14468155, 44100818], [29402126, 97197232], [30936715, 58970889], [2282021, 38772233], [53593063, 89407653], [76680962, 52887794], [30867017, 49474083], [4690493, 5745296], [56370349, 45427124], [58335012, 89200476], [70249319, 75453538], [28817951, 74864453], [73199976, 42726594], [77650562, 25630424], [68294844, 66671833], [9016332, 44351336], [67828695, 55308809], [24124744, 66248612], [94664531, 31330279], [24145221, 81749663], [20078908, 87063161], [17096749, 83895137], [43459966, 36913724], [65574715, 91810081], [54521778, 47072794], [90412871, 66501707], [14678056, 42997526], [67751386, 49572687], [87284489, 85426143], [79081322, 53931007], [42992499, 75638953], [58248978, 70891475], [39558709, 80287201], [97664129, 54487045], [84032706, 99703703], [50187815, 43345519], [92051033, 22277199], [33743325, 17068887], [34675314, 92962904], [75702528, 64700427], [66069732, 31900844], [99710372, 87525494], [39686878, 69463497], [35818200, 26697641], [48616629, 65825997], [49002483, 9485867], [46896659, 25515896], [1688396, 48547166], [52116141, 72622504], [98831103, 72947512], [66555416, 14496270], [38464070, 17838724], [23301903, 13014464], [2240085, 70660761], [18743685, 18592773], [56193208, 63247570], [99164101, 32980409], [24497127, 91160108], [84791473, 80208141], [86537878, 61046474], [86830700, 40459872], [92798633, 93518385], [16042122, 67499136], [25176357, 89979284], [13034294, 34535574], [3702723, 65696506], [98827690, 93312745], [31448019, 9334813], [26280662, 25202532], [64293233, 46039753], [69634124, 65187032], [42039828, 36896424], [98098064, 7759534], [49548286, 15797828], [66540736, 40232869], [86631632, 1473009], [49646435, 12622400], [53172533, 34304784], [26348911, 79142309], [65557890, 43307829], [21160284, 87136021], [26648889, 26335680], [62538507, 10945194], [69971240, 53243765], [31439859, 72820025], [50983795, 63017857], [50280712, 48414639], [12605819, 5300558], [36469307, 10726528], [7741942, 28796179], [96321608, 34045020], [22400073, 30573935], [21201360, 8709436], [1073857, 94575006], [39264862, 76081678], [73691994, 38807532], [58889336, 35999556], [60670126, 62310575], [63883876, 15615233], [45735301, 61781959], [40289470, 4632485], [35922644, 55873041], [15003828, 48475908], [76429471, 24224744], [10731150, 73543338], [25409865, 58559176], [62914097, 41333775], [48777289, 5896880], [87477915, 87693538], [38363027, 2286055], [68051562, 28419930], [52794113, 82555573], [85923345, 14774846], [64583801, 90290684], [35573243, 37539764], [1691294, 60201630], [7516801, 19456995], [66119359, 31177888], [25183954, 91955721], [74148160, 99830776], [67046069, 8673415], [27290384, 21004475], [89872333, 50801418], [74368446, 52535840], [80326189, 42858573], [11881013, 90101535], [70671415, 58339113], [20646548, 91196911], [51394603, 33259856], [84645148, 47544459], [53865963, 82019301], [76295526, 83825557], [74818198, 60183118], [26840298, 70831158], [89500188, 3270690], [55232876, 12338323], [52292060, 85780425], [98250038, 38126373], [78993881, 50545014], [30193668, 82018815], [7269812, 24513026], [26785549, 67552826], [10679645, 34922352], [96722426, 55099912], [8100712, 68565338], [26305260, 26233814], [63009585, 73519149], [33516535, 29253206], [44370311, 11708625], [81968766, 84581329], [46584641, 10718116], [10602183, 48669407], [48276882, 50588938], [46469703, 35024091], [94765266, 20769882], [32629833, 78909138], [51959395, 30590003], [30771232, 32802605], [54208637, 56285527], [40356046, 898547], [82562998, 52862251], [83625972, 34451997], [37190744, 78233416], [51162440, 72521372], [78463707, 63401165], [604648, 61137291], [47781871, 15452514], [8713544, 25640270], [70680191, 5374574], [41393855, 73939312], [58864337, 88373339], [1841310, 58945416], [59078766, 62234650], [26601192, 39025369], [77069629, 73407440], [73670468, 89180251], [50442767, 42229017], [26547620, 1411167], [74890308, 14032617], [13131659, 13382822], [46343941, 23731669], [64352688, 9580843], [78010878, 87744930], [47451729, 70710926], [40895637, 58760776], [15062117, 36681938], [50172048, 66159700], [17130796, 37256719], [46941516, 50040376], [75370794, 2607371], [31569745, 21051028], [63629917, 80986989], [63023195, 36519506], [79363512, 57722933], [69352192, 47999797], [76783533, 52057783], [89476348, 24516440], [1183123, 44821278], [4834734, 16695278], [47889095, 30209638], [70133412, 21627785], [98300056, 41174888], [40538267, 34342478], [89302923, 40821791], [2251218, 10048051], [43846463, 13260243], [68867368, 46484171], [25117290, 6919019], [46306579, 11686124], [7244608, 76620585], [86461284, 57883722], [65785766, 37120277], [25187174, 90479224], [28886844, 93727901], [40926115, 27576764], [85910943, 48319327], [44319123, 20628301], [87894594, 23745507], [95184400, 69806959], [48872325, 68029799], [59803439, 55376916], [62577738, 79649982], [23246588, 44771410], [69107687, 23210109], [97105639, 68470124], [55257755, 65236589], [37780066, 76995212], [9095191, 76611988], [76028316, 47631793], [55486850, 81980685], [52255985, 97007868], [47491508, 5696416], [17482777, 73165394], [52879510, 18526042], [99679960, 48391477], [29986813, 71766945], [63067591, 97576320], [77651517, 22443558], [62502739, 25856725], [78953449, 64984052], [84608138, 13868875], [14079510, 31638162], [2487908, 89598433], [67965366, 45485796], [91055411, 3894420], [86288543, 72580853], [4219518, 67309034], [9537470, 17093006], [69230946, 64905685], [86874716, 15998357], [3830592, 22016372], [88450451, 88701918], [15340001, 22546013], [27246200, 4579510], [3168986, 53549628], [81394267, 5523906], [44557711, 81359068], [24493697, 59931922], [81850332, 71194765], [24862975, 17984987], [73462032, 38388532], [67195021, 42782738], [28173286, 49130740], [20888555, 23775592], [66719300, 97321180], [76667547, 77604195], [30449057, 42859535], [21174487, 32638168], [16601271, 73679248], [12793655, 48689540], [19770660, 76075922], [10498526, 46800927], [91059049, 34235510], [67221609, 40220280], [80998907, 39865053], [18998370, 12319088], [63152153, 55300952], [30321204, 79808604], [91493748, 30994112], [54186080, 36809226], [8252461, 15938058], [53322671, 89045518], [7517569, 25432705], [72077084, 70473214], [33408603, 28294785], [74808200, 7195136], [46186173, 8862986], [66642975, 62202374], [84300584, 84368308], [87766169, 55090184], [16905440, 2317495], [86851357, 65617109], [76223554, 19449503], [56272745, 68744053], [10715152, 17665042], [81712810, 80506316], [27255400, 8768469], [28130729, 82276242], [75678316, 2912255], [60747435, 7428350], [20670510, 25294592], [54543559, 71563274], [87648738, 56091218], [3900997, 82464656], [49065197, 83413166], [68569727, 16277061], [74220686, 53534101], [96786088, 49618639], [85869125, 8953588], [62272109, 49805274], [65646017, 98706569], [95154977, 33982267], [69653991, 40493016], [73417205, 71704280], [80463098, 17740029], [92021725, 12389925], [70281454, 73637667], [82058478, 91706336], [67620449, 81503424], [37759789, 70595278], [49600539, 90372503], [61964243, 7697936], [39385946, 59035771], [81750809, 69727473], [40716418, 19607458], [85188226, 98725474], [31109086, 92548884], [73214489, 90034057], [68343469, 14288815], [75966513, 91048812], [99932946, 91977283], [62700828, 65941686], [91048298, 63744237], [19870091, 27253], [78284568, 98095537], [20661410, 97972248], [2824139, 34566696], [33784581, 83025964], [47526874, 27940629], [28032326, 10718588], [79544934, 65499248], [43433101, 77646216], [32515431, 32854609], [97858338, 55607087], [13684133, 1505693], [72555561, 54650583], [50160742, 59770888], [33430327, 94893894], [68545545, 23644177], [10147278, 6369977], [24669507, 40546650], [7789506, 38205322], [72247811, 36372990], [84682838, 97797921], [83089552, 31748179], [87907227, 81549], [24155425, 33302920], [87200661, 67013103], [73405520, 54014091], [5625353, 32684260], [32788589, 60410866], [43163825, 79988091], [31594466, 55285900], [3605457, 90604455], [67265492, 81094600], [46124798, 55811205], [1577722, 85276132], [62335410, 79225942], [85348414, 79807292], [11650324, 98124762], [85725341, 7022473], [4221272, 5444274], [79088982, 92893375], [76191092, 6858564], [18187066, 88468795], [78723394, 73979850], [32119754, 79272646], [64310591, 66069997], [20406280, 50317027], [68622272, 44940756], [21983177, 81233211], [41973019, 35744423], [92651804, 32540168], [13415934, 40858650], [8231130, 31819812], [57401889, 54870646], [89193302, 42981756], [80252818, 30846061], [62234213, 79534507], [17338055, 40154452], [72299256, 79672906], [85510668, 9506656], [79872344, 38244117], [41190951, 41148251], [68031354, 29203324], [18681683, 37382826], [76563507, 11030764], [35459656, 91124613], [65303015, 95892781], [51661829, 82739273], [96238249, 98792772], [99853802, 90799772], [35537889, 50033450], [61343274, 67303704], [28210476, 95469217], [28569825, 42937860], [1950277, 70986417], [69016901, 40010050], [82386071, 76451344], [61049387, 39541539], [62475484, 57867601], [19744321, 57924828], [2829394, 79978912], [82615971, 66253096], [77937539, 17480485], [4625061, 31787357], [77235066, 26305087], [63026867, 45999858], [7842953, 31790014], [55937610, 94845434], [49088094, 22113477], [43449138, 32088737], [98631259, 2483908], [91260624, 83591970], [168579, 2645130], [42615079, 35374951], [13987475, 5286297], [7272799, 56620787], [38209398, 6067332], [24221455, 80487264], [947432, 27900672], [75325317, 64208596], [54158808, 55985767], [22240400, 83008952], [91866790, 47419822], [44742719, 66007528], [18806636, 91366648], [41831779, 18321836], [77634569, 22632134], [97975368, 45408066], [56342324, 76175658], [64551703, 59947424], [90355782, 75084125], [14542775, 37841933], [62520897, 63729052], [33104241, 27983857], [71889427, 50189592], [96302697, 76369574], [98017350, 92997974], [31458467, 55453418], [24297983, 73891020], [25042926, 56529638], [178934, 36928844], [16851948, 56446435], [35443227, 52619991], [82351631, 95930210], [5263046, 19556408], [70796578, 2117403], [17787491, 59922268], [43811023, 32365854], [50179079, 64568968], [68513334, 52443066], [93745912, 24285325], [49145795, 35032570], [51579276, 71938133], [49304293, 64810275], [20579319, 66700512], [57119846, 41690079], [13137608, 70358804], [29671842, 47097320], [73784199, 74431380], [9641758, 91772611], [77291770, 26584679], [85470261, 57459610], [90629200, 62338055], [38537039, 26358228], [28327541, 19850879], [44228485, 12922297], [82789724, 82753227], [65486451, 94616313], [11723626, 82205209], [43794261, 62238200], [12531305, 76495652], [56677015, 30697877], [76306198, 94687445], [74060365, 18714968], [30976079, 5068448], [1623975, 16210660], [87529919, 75754528], [86010214, 99679640], [16535952, 18436426], [38805612, 97220852], [41356821, 90535065], [78925899, 54300], [52740461, 11586657], [62829673, 11659627], [53353550, 96275221], [32730292, 12254494], [46272301, 42277864], [98748142, 16486674], [86323034, 37649701], [45608298, 83057669], [90221167, 39494012], [12181070, 29483698], [27396948, 47353314], [71993673, 52491363], [38799796, 16038146], [11090079, 42195524], [33289786, 39809480], [37255621, 59758230], [28970311, 97898524], [79779397, 22540625], [93975623, 29617814], [91098708, 68905203], [56014993, 17148789], [88635785, 17686691], [13960224, 48794422], [6621946, 1877497], [36259157, 94676878], [82245887, 68676290], [72077542, 65251702], [40849474, 32810428], [94785241, 34694624], [53521277, 56688828], [70307456, 38562519], [76524712, 4439707], [9376719, 31160808], [51609945, 70648345], [36627889, 9091282], [52241155, 36593528], [70509690, 72547782], [10113827, 22806043], [62063856, 71611676], [92149804, 61453908], [2303051, 24777805], [14827527, 54705456], [58014865, 79806780], [7516270, 34845981], [94060718, 52806305], [32018633, 49390106], [73101573, 13615521], [58275, 17128295], [28933283, 64938859], [62863070, 22298603], [89421898, 52034430], [44726778, 28083202], [38381295, 72799409], [47741095, 38279101], [64598632, 28328270], [40498592, 20408765], [70055883, 41171953], [88382046, 75643655], [92998158, 18139473], [13479471, 60264492], [17588365, 2335249], [13262358, 40055121], [72494595, 83732428], [25862895, 35768177], [63299693, 61781148], [21996737, 92346472], [53702861, 19362963], [46997133, 81483118], [55912279, 78743790], [55595707, 35612127], [45160703, 43123917], [67657966, 99463410], [91051143, 33501156], [88385059, 42569267], [21831649, 61580117], [72411090, 4898697], [82436656, 73078777], [35730995, 73466485], [83989644, 15208000], [32660434, 3486959], [58856256, 80997583], [79691754, 96442899], [87946747, 8927075], [206829, 77518332], [56803033, 38811284], [12012860, 37858655], [41526587, 26746563], [69785201, 72433090], [23022031, 84748828], [86727949, 92470378], [81840140, 71250711], [98566596, 2168158], [32741534, 29562756], [97995245, 183278], [24268656, 70467888], [74965888, 5000478], [19654330, 77911737], [45956898, 46939774], [80391650, 67813236], [87695560, 96740285], [34553653, 86416077], [70972626, 73089934], [53754714, 22479412], [389681, 65042611], [73046954, 14364599], [62582570, 56460011], [6030224, 35871237], [85947248, 97057251], [42247776, 61075071], [7559706, 12319116], [28539809, 1470877], [73372665, 50202031], [45665279, 7948358], [14640529, 9927897], [57147074, 86109182], [46747818, 84241482], [10105786, 4395615], [17873182, 22209533], [37580409, 10941737], [76273065, 56491735], [74196245, 71917502], [81513239, 74859112], [69775249, 82568838], [80253336, 99088685], [86162975, 91613214], [84284772, 39869246], [83999718, 76369353], [79449948, 99836245], [94147211, 99973356], [73098368, 78028766], [63593959, 56468344], [1769759, 44211096], [29626363, 94020529], [63390372, 66323315], [83310013, 32216387], [15248822, 632351], [10332141, 69237226], [59048997, 36189690], [18355884, 36946084], [37500749, 59673174], [77704967, 82169122], [25855040, 62311490], [20797732, 45602687], [69589594, 28993977], [71683035, 28845106], [54976167, 51102821], [1094060, 2942923], [89541118, 17751967], [23369293, 10838444], [66011218, 69905937], [30052150, 76804150], [19854285, 45030248], [75199278, 20996472], [82674986, 69489493], [19446457, 63094708], [79699591, 72550174], [58193707, 63454984], [85089205, 5479852], [76670776, 36719997], [3492045, 47405625], [24443510, 86753782], [53571479, 70872266], [91368960, 11122793], [83358662, 76240642], [48247502, 99554123], [13469691, 75436265], [39170274, 24726362], [52973797, 53010948], [4515865, 39103351], [78553933, 69253211], [2428837, 88857868], [17467270, 91548349], [1857341, 18027467], [2638035, 16004301], [608113, 31271013], [28762352, 19513713], [83185643, 51702441], [35205564, 82118766], [58934986, 70403063], [26558542, 25715441], [11197651, 53615004], [90889150, 92751863], [58973611, 18551365], [88547251, 10045311], [68203283, 19499676], [55852664, 12957284], [93966804, 19979266], [57378802, 42360557], [17628701, 11755316], [18479705, 19449437], [5155551, 26192022], [2970782, 72976607], [1516695, 21088543], [16211105, 42944984], [38206803, 35526580], [61681367, 87365498], [75156634, 27558789], [28058096, 65637587], [90547231, 83605537], [90233845, 81633967], [91408111, 16683407], [60845293, 4132393], [33925290, 87528835], [77238583, 93687646], [94903877, 59816714], [11582414, 32001264], [33867521, 44184659], [57488238, 54386069], [77184948, 20244468], [2720, 30613916], [85461659, 32552034], [10277194, 54960512], [95625522, 23746584], [5977111, 62835772], [34902168, 70640285], [26230699, 21540359], [8388405, 58932343], [641077, 97736711], [81083471, 41720550], [77448666, 17723861], [69736839, 62975205], [16384610, 40705048], [14107271, 53746380], [65272530, 79923421], [81226793, 29540972], [57414005, 53504323], [17202264, 45662964], [29697449, 95019172], [22335059, 60599271], [76961247, 53998749], [68126727, 87315285], [74377129, 88203972], [95357706, 11878666], [70213051, 26545524], [58102414, 84410824], [58628859, 60848255], [80272275, 83769666], [85852175, 25030464], [6320977, 66143301], [70318246, 68911155], [50850683, 50279719], [49063474, 39061141], [87343390, 22145876], [86382236, 33709983], [27534018, 65278958], [51070650, 12841389], [17754729, 77444939], [21987866, 75242399], [90549689, 36161430], [2001213, 6128107], [79625823, 29211677], [90805750, 23660947], [98484888, 2207846], [50403032, 29832715], [83857195, 45794838], [20388591, 84624410], [76282505, 12472824], [42449767, 69772982], [62919764, 55920884], [67771342, 72328398], [31342451, 76362760], [70912575, 85970172], [64581444, 70800824], [814474, 92231284], [48494784, 20231112], [3536863, 89400902], [20551897, 68700871], [74595195, 45951662], [55778435, 36535792], [746506, 89648133], [79935394, 12492455], [20691816, 3807124], [83088450, 37168024], [3677831, 14833528], [44466747, 93329927], [82246958, 81793530], [56431894, 58721278], [14088191, 9389105], [17376487, 1989779], [8044591, 63046613], [80355303, 2089974], [18631268, 72110438], [10260088, 75595831], [69980634, 43659175], [67792478, 48117007], [65629679, 56440938], [62274637, 51406647], [50098660, 93501794], [45139360, 34979591], [25514687, 17132973], [14258746, 16178190], [47849722, 26940900], [49705450, 44399163], [59077153, 8611595], [95850245, 74449032], [50145113, 12234100], [78044966, 52997316], [18324113, 79873651], [96923736, 85578853], [14679261, 46609264], [93713277, 17332380], [31880719, 33377196], [47648646, 88451575], [99562743, 74271059], [22968826, 45853210], [32258720, 62538766], [99238923, 85458476], [21613722, 26721299], [52355263, 23552476], [38226777, 26059398], [57455081, 17331873], [43109312, 48622410], [81535603, 6014176], [32685882, 91852304], [81303008, 22442024], [53644856, 60857596], [422895, 42925870], [38092340, 86809798], [5136631, 48837282], [58724341, 48523061], [65117116, 79631693], [34046957, 74275308], [60151806, 59568203], [28404191, 8429304], [31060410, 98937403], [54510559, 17609754], [69394865, 85972524], [40974634, 9874182], [19246123, 72004212], [88802947, 5426018], [50099616, 47339907], [91674628, 30062508], [1628608, 76865649], [66724167, 42324170], [99835212, 17576870], [21810786, 12793961], [15830847, 67440558], [93876096, 45653385], [78772530, 83989688], [96728490, 30852382], [31847710, 22764611], [94935580, 23165906], [83639526, 21363162], [13103073, 3832872], [19108745, 45229423], [37596731, 75597489], [9785423, 90095573], [61242088, 83008179], [64347363, 25928391], [76824266, 10264618], [1382210, 99486538], [42667013, 70960074], [55323894, 74208216], [17329797, 22100293], [49593198, 48159908], [65374433, 89158493], [57066556, 38934170], [19138743, 95671319], [64515829, 68695528], [94811327, 97920896], [50585288, 94282307], [87461020, 80934871], [2514073, 22255957], [59353917, 93173058], [21278493, 68992027], [33260935, 18121305], [27139354, 87001722], [29625347, 68363767], [35778175, 4433169], [87345252, 94943356], [39983207, 99082313], [34493896, 87969323], [76158304, 75687935], [95276553, 70476694], [69979018, 76205186], [72727127, 85335410], [98893495, 58569149], [85493900, 19582995], [87402700, 86614784], [62993812, 45835699], [17716533, 40790425], [60872261, 53187736], [82795012, 12325941], [60677295, 71766558], [49702744, 64700520], [27706670, 12198709], [90461850, 74765279], [74989579, 22800736], [26008647, 83200711], [10483102, 88237053], [55256388, 38845598], [23542275, 73017520], [32699704, 3934154], [15678809, 8380148], [98453833, 48702512], [87603127, 58579158], [81560758, 54359382], [19949120, 69520000], [43390277, 78439475], [34105937, 83239544], [60986465, 46176426], [46351561, 60244999], [35505319, 52771163], [69020980, 70407105], [44985367, 84335410], [11033221, 87824409], [80605976, 71149327], [92127419, 90017497], [30928461, 25986235], [28612417, 38332682], [34520004, 9592256], [17995259, 65367805], [54220821, 79973504], [95767576, 71564481], [49533140, 65981431], [17207057, 55774718], [37484091, 36791626], [98971408, 8735585], [59365820, 72168541], [20453283, 90825365], [39579715, 38132640], [68297437, 26396110], [19462591, 36334426], [22411634, 1962833], [25952930, 13341424], [98175655, 98967607], [55995620, 99659135], [62008557, 57645350], [34029443, 94553931], [2756752, 70610191], [71857152, 58574390], [19977355, 79739932], [86744977, 62646942], [48780935, 5041967], [18008644, 7144304], [12602230, 42198692], [13754678, 10467516], [83321137, 3992940], [5077036, 40162316], [6069551, 83952097], [29142902, 410652], [34322757, 92667952], [83430559, 55253871], [77813800, 60380624], [93948295, 87682139], [55396795, 44744426], [72435674, 68644293], [68739054, 54392391], [51567836, 23200029], [93526310, 15727605], [54780566, 19621487], [11540772, 46114439], [97417649, 62103401], [86212730, 36973626], [50249540, 9396562], [21218945, 65529173], [40674712, 60473327], [44428087, 94823351], [35966053, 72175090], [92927423, 18775070], [71299134, 91318375], [81174329, 61670194], [3910684, 31493433], [14891027, 91706603], [28712569, 59423681], [6080000, 63053102], [70147583, 85816904], [40449361, 43924026], [92588196, 95297376], [37653172, 6305866], [9049869, 88597853], [56581713, 42287671], [65885281, 52010798], [43756023, 7050030], [60930521, 79413200], [63735570, 97701811], [45517115, 52923433], [82077347, 46738893], [23199250, 2801416], [50668059, 30825354], [52946518, 20378306], [28624912, 18556339], [42175286, 24757054], [57596914, 80675824], [46198992, 12682646], [72646050, 2992754], [50042933, 45717713], [7861808, 18881381], [18916307, 41025936], [95501758, 51285359], [29531369, 29803672], [95619813, 9245661], [7437209, 3821816], [47826901, 45106162], [46279384, 63048861], [40484301, 98449948], [3972998, 32110887], [21130344, 74533417], [84124432, 7856965], [14216031, 64320163], [57384813, 33887018], [53744387, 51351879], [43192895, 54897257], [6113607, 22279306], [59270213, 34165544], [10585150, 29991889], [78181293, 29396895], [34013323, 75752898], [35813587, 14326706], [56458120, 8626763], [77731275, 26837065], [91899915, 59817396], [98037131, 98237296], [40380141, 32896147], [52165503, 70838488], [47583954, 9513021], [49871507, 59831660], [38745326, 61167816], [10446678, 65131086], [91391412, 67870389], [46307128, 82759341], [59700135, 86677636], [38041074, 91707834], [46227685, 32216663], [40721166, 53440770], [2571351, 62360506], [91872861, 1769997], [40014081, 75109692], [27834542, 93740205], [55519028, 83702846], [1792026, 76315377], [15839576, 71890776], [33502199, 52373012], [18425136, 11455620], [51046095, 22486074], [81717982, 13623553], [13089882, 77457486], [39217290, 39298687], [16586565, 8994173], [52694935, 45988991], [47389184, 36234070], [55152240, 4967098], [3663833, 82504715], [32051694, 16156898], [68204802, 53804161], [44974158, 51186201], [69063113, 78395205], [36860399, 69824615], [85153212, 51139164], [55919928, 6712855], [24564788, 79339350], [71057609, 47743306], [8574315, 77985908], [99993949, 1503934], [56148412, 76099321], [41867905, 28354461], [81650534, 89733654], [79264771, 4424393], [43620826, 56263164], [18942204, 90828674], [44920663, 94020204], [79912631, 59005514], [53010337, 61704947], [15397704, 7334616], [39251041, 66831653], [88290862, 83494155], [64043833, 37238771], [10411421, 65241839], [16535170, 1035506], [87066669, 45719346], [75980098, 16035389], [81278128, 23242146], [7612174, 83320935], [30753785, 59984390], [13589079, 32417222], [65626388, 242390], [57495029, 68582627], [76945279, 50926358], [14057957, 51973908], [25186060, 14466064], [76226924, 26104004], [93574598, 54496579], [35692825, 7693326], [22749488, 61377352], [24398596, 28861116], [89799673, 20964870], [32706583, 50655611], [79616670, 74276399], [90471906, 55489062], [99465080, 25432449], [91104402, 86044943], [56967553, 74038774], [21540351, 24735551], [23666699, 19234476], [27284495, 77304298], [92165194, 96778224], [87685609, 75036394], [81353136, 26449922], [36412488, 88607761], [49252746, 90635345], [2094542, 62333651], [25538551, 54637251], [77912528, 52901417], [10128315, 30354952], [2545064, 65638359], [67355262, 79815448], [62986397, 60070080], [16424284, 9038848], [79115843, 25183955], [70821342, 86362854], [18025315, 71708722], [20885898, 2592156], [58559714, 79280481], [14220820, 93129069], [74626811, 41579498], [28056318, 79103689], [75127581, 40670724], [5026639, 79289151], [34504410, 20981503], [26834892, 31227577], [10630051, 93851920], [43607692, 81371225], [55954014, 90201563], [85310360, 77803971], [43295347, 26507533], [32541636, 13630637], [68469921, 89298755], [34804562, 4918585], [56443818, 36424388], [73807110, 5168118], [64324119, 71451056], [77475050, 2324337], [5587417, 33919088], [11686078, 24996149], [43896933, 516104], [6980551, 65124470], [78143163, 62798782], [67393703, 60393034], [13604985, 61893036], [48444599, 54403258], [51706951, 85499602], [36062336, 25784115], [58280718, 89116696], [67560838, 78925285], [90686948, 68252009], [79149402, 74924370], [48676202, 42434628], [69173370, 3633483], [42517173, 35691689], [35378397, 43197391], [88688078, 91131313], [61928840, 51214702], [34706378, 53173743], [79277107, 46300309], [80616754, 10873654], [82036453, 90058495], [88858565, 42556763], [89498812, 33621883], [42178938, 44077485], [80548917, 17913010], [94286642, 70680810], [31350148, 23573667], [555947, 64246200], [77000703, 35923221], [70922357, 59262431], [28914921, 62087187], [32054285, 19238378], [90774001, 27982166], [45563611, 10496378], [75899442, 88141867], [98782128, 22117136], [52779572, 29938297], [53896800, 36669012], [16734277, 42183144], [22021108, 46852573], [88455350, 82895551], [60567917, 13905345], [38566504, 14129148], [39644724, 6293011], [56397822, 6236748], [27732530, 54397476], [1804609, 70235155], [74061977, 84167230], [75104308, 4831513], [65777118, 20584324], [34513170, 27333648], [49809608, 92419385], [53260426, 83220120], [75773960, 93210889], [22690095, 56600241], [52377456, 28552770], [87943782, 23618970], [82213150, 34120380], [62886954, 90682202], [96066577, 27193321], [35446901, 35585149], [39487005, 84028774], [95692538, 98552974], [24761302, 6544820], [55295062, 60285071], [32845826, 95674408], [51380672, 50444294], [82803910, 10231329], [20531052, 23091478], [32882762, 61029396], [54322824, 2369438], [44879108, 36883867], [91111059, 46026717], [13256448, 11396290], [86223176, 76966755], [58467186, 47660053], [94528676, 61797326], [3959828, 9244049], [47608543, 22063719], [87010162, 53768847], [24657664, 73900551], [58047415, 40081497], [15230383, 79231733], [26799037, 46120954], [39871812, 12733435], [20246260, 42545412], [87820425, 73022054], [95517193, 43336233], [7608931, 45500755], [46904286, 26428120], [93732832, 66949778], [43219094, 47524887], [56251458, 72187637], [5366581, 94624153], [61602686, 72032771], [53444620, 54867465], [48200837, 43488222], [82108123, 65922116], [33010782, 8965865], [44232030, 77378876], [59208236, 26730245], [62122905, 23212199], [49878598, 57807480], [26629665, 65721066], [74347364, 18942180], [89776908, 72656663], [33449898, 6619359], [78744136, 39941484], [27717382, 26818036], [69887843, 41352083], [33957682, 22665422], [36347906, 50208311], [10286799, 34960774], [41778971, 91037503], [713678, 16751671], [66469776, 83939350], [8178922, 5551557], [36039502, 5901067], [38227047, 95247480], [26837711, 80117376], [41003082, 47189267], [37237158, 45896185], [44586897, 51702862], [67120115, 91003954], [64805604, 4090828], [9832949, 66514185], [46258109, 44550771], [35536587, 69828799], [69597820, 79029545], [62674703, 42271598], [56165579, 66196057], [57332797, 78973945], [99480158, 18611706], [18570231, 68005122], [58905822, 94766847], [18651351, 50259217], [12366890, 38029355], [89729584, 8388043], [52426672, 57365753], [48953132, 33032939], [45772229, 7160401], [56139591, 85038865], [2121882, 94763413], [53444529, 22504026], [50832804, 85931464], [66857780, 87761499], [39907805, 87264114], [31954474, 10400370], [40324603, 97497361], [57974809, 563185], [78725057, 75417601], [52890916, 62928230], [36236839, 26309459], [35890680, 6831588], [61297055, 25769546], [33120941, 7192819], [61721859, 2098203], [22783778, 9912898], [24419971, 86006584], [63711810, 14897628], [24022746, 19100933], [23923154, 33524221], [3746033, 80042836], [60365132, 23978358], [49087915, 98141068], [35114935, 58273881], [28074566, 25540811], [37042488, 25604518], [78197081, 83612660], [7173892, 99004982], [16189258, 94234476], [82624062, 42128222], [70976768, 36404175], [31626822, 61440270], [32421212, 68982003], [40430496, 50956580], [21730568, 2896063], [11296838, 67908303], [7948455, 77392405], [16490103, 65575099], [36126465, 95389629], [3407488, 93995100], [37923912, 89242113], [79523587, 92528373], [95105253, 73121147], [38468718, 49801982], [52162274, 29847080], [73713632, 13536191], [94186773, 37247068], [38742239, 12471714], [7389818, 28690772], [99149044, 99015086], [9640130, 18200213], [32117966, 1202719], [30148209, 46003662], [40411771, 58498090], [19743889, 6686743], [67400867, 66534786], [42970289, 62502152], [74942277, 47916177], [79470748, 55995454], [4177945, 52888569], [36098109, 44876280], [63673757, 88663369], [74912829, 94282530], [68406961, 29797417], [11748756, 94724705], [32814779, 62710951], [72712625, 39414508], [51701417, 9089971], [12089732, 24713163], [4198253, 41504174], [24052517, 99865040], [38290704, 63434274], [65708077, 95366714], [46616380, 65837901], [42934148, 21330152], [9727439, 46407987], [37818143, 33486164], [24942985, 23981322], [73647728, 69349010], [90677205, 56151578], [46448123, 78935418], [7432239, 79024716], [33677342, 86874256], [99021310, 86456525], [92344356, 99401854], [21126781, 91333953], [11921555, 79998608], [44037634, 11184215], [70251784, 97155996], [8779852, 32600673], [22364351, 56688380], [58292611, 8187958], [31598632, 49482586], [42212252, 23191337], [51898284, 32972766], [19536627, 98653300], [19125261, 59730205], [71648518, 30634155], [72682133, 19025133], [43023055, 1717735], [16261883, 73487994], [21508676, 49031978], [94394814, 20422948], [34515548, 10086625], [59070652, 3485481], [60741461, 1974741], [33891546, 57403167], [9396915, 66104013], [24223189, 78962655], [24663678, 21264856], [52250757, 72997565], [93394805, 20354602], [15428192, 82017143], [67338828, 46237332], [85839321, 31611806], [35577391, 57838767], [55018783, 2297710], [78625051, 33631841], [23523928, 50907868], [41932040, 32844622], [92017305, 60524082], [68579303, 58311372], [61886662, 49666153], [92269123, 40541366], [44331115, 95383687], [45642798, 86152837], [47032034, 42702321], [92014477, 88263183], [34457964, 52420231], [29895468, 28818233], [91917186, 98535079], [66382075, 52781017], [35929070, 91945523], [88508477, 97739843], [64289255, 58003547], [69088263, 21336313], [23154488, 90099382], [55242424, 98528722], [79864639, 26973867], [49647534, 35810442], [31024650, 19368648], [33255036, 49744251], [54893362, 41560772], [89108080, 97637459], [62048014, 42080278], [34504189, 9493755], [85558000, 51325333], [511320, 46702003], [55855897, 65405404], [73583128, 64174523], [15650341, 17794617], [2659592, 50291241], [7746276, 33721506], [51945388, 23846948], [49183945, 97870845], [40617907, 64327660], [16855332, 14178280], [96625081, 61743250], [89413810, 8861364], [73172409, 67959146], [4891994, 72358746], [29103546, 56841314], [70825956, 71039729], [29412625, 95701616], [41074938, 88661492], [48630438, 70891969], [73708661, 56416802], [14995823, 72050755], [29684903, 96937336], [45092224, 28690253], [21881313, 4232377], [33442123, 78573965], [48077386, 13157321], [7345594, 23908370], [20550093, 42987798], [8114631, 69620972], [73401470, 92493742], [41690442, 27446427], [71530393, 47043482], [96302422, 22452839], [48039746, 9387800], [28185964, 39587523], [49051547, 476639], [16504988, 93104070], [7511459, 58659799], [28096442, 21162742], [416540, 6554769], [42793702, 30370893], [26442533, 84253617], [90288960, 48812590], [90907691, 35862766], [11108729, 86180935], [86504344, 66982541], [2128449, 92798562], [95060434, 35372079], [87154972, 73586348], [1955920, 66728157], [24780944, 94800165], [40355281, 71363208], [31735183, 81898795], [68725579, 12500456], [78709413, 72000648], [55388877, 8152493], [39045401, 27406556], [14972609, 74136665], [152005, 39306114], [73636455, 12403842], [26404665, 52886381], [3989408, 62736515], [49776945, 37706577], [97204461, 71102610], [63853159, 92404312], [71271383, 47549057], [72156662, 27855569], [71680558, 6639248], [59604481, 54847341], [22592704, 53029551], [39082509, 93150366], [89025809, 26999992], [31985768, 89420206], [13412661, 76638066], [7705925, 41021431], [972600, 61859904], [39846434, 72239361], [14312907, 69997623], [39934671, 58576218], [36991722, 19398722], [50923303, 5866222], [37308013, 75009636], [52408268, 74830609], [75414927, 94852973], [76042591, 46754816], [60562901, 92221191], [37284983, 60330343], [7637646, 13487670], [13782295, 44278749], [92848276, 95585565], [33295828, 27521797], [95388797, 73691463], [21861052, 1541355], [33974142, 22720669], [32580568, 91311543], [17244638, 96798746], [33737214, 73406876], [70119935, 74214671], [68023143, 35539451], [44406326, 19886936], [25864383, 43185854], [60474889, 83815804], [34878955, 50489065], [29686229, 55678728], [93250968, 15162424], [92186937, 41687679], [51729166, 67616979], [60742197, 75097415], [58840838, 99601095], [70190974, 6156035], [79625168, 22118176], [89796140, 53124485], [76946028, 41295394], [73895255, 75749756], [73842830, 12069123], [94221702, 59673537], [48063525, 55806921], [86123095, 64428904], [89322735, 46855876], [64800489, 3172756], [53169637, 14864759], [40317680, 39082262], [69706280, 53244563], [6164165, 35590245], [20288572, 17408680], [35587783, 75428440], [78201646, 53372731], [23498122, 21807512], [6657436, 54723578], [90777683, 68197291], [94645638, 80741652], [2198509, 12991443], [33577515, 56811645], [12633628, 42659836], [64125995, 41628166], [5458133, 67716913], [64978550, 61135125], [14177113, 47003247], [28130027, 56206708], [30125937, 4185691], [44595537, 91810718], [28220504, 77387175], [30736850, 40173399], [7047218, 50346423], [2936831, 38932842], [89549640, 37201427], [5550242, 83677028], [44529549, 86139790], [32264512, 5675206], [27570600, 98804277], [12587483, 22141769], [3735486, 51811738], [70790287, 82505892], [81897968, 66481964], [68950669, 87187357], [69229076, 88259231], [7087189, 15791323], [43115263, 1424735], [23151081, 59197617], [42918045, 33050684], [26471885, 58500070], [40683133, 22682268], [99720971, 64172663], [71616027, 62464593], [24006188, 73911680], [2761837, 49663409], [31046860, 73025435], [81512558, 75741852], [83752670, 36995130], [90943313, 94279965], [86201552, 85853604], [37753818, 27760721], [26216884, 69651792], [25448951, 71683275], [2829169, 52436347], [3628499, 56086278], [24687979, 47621649], [89901085, 60030584], [12441519, 62005673], [46187144, 78625512], [28946779, 96958095], [17082584, 29567745], [48115212, 12560502], [25715995, 23735618], [74819255, 57573619], [4253618, 95832830], [70280548, 56286709], [3032514, 79324924], [51543973, 38932509], [30917882, 12530359], [97726258, 48519299], [92754932, 40277442], [94049059, 90096729], [14375807, 22040918], [33562917, 10084169], [7871830, 81056118], [6921609, 38058309], [75994494, 22999622], [60735154, 15708532], [34294207, 6456869], [48013741, 26945005], [12390453, 16504474], [86994292, 25818192], [5714184, 41670868], [96749872, 81349849], [44019265, 51952553], [90523879, 85987792], [17951932, 40058606], [80645284, 16186973], [13080993, 90947359], [77990042, 68000303], [7085556, 92111293], [1059323, 4950785], [20357094, 47122507], [60086153, 70499490], [47349281, 57391405], [53822212, 5534230], [18417575, 39824559], [53961358, 66048440], [43948003, 26944950], [58999603, 47154082], [39865553, 88273703], [39679970, 77345156], [21429183, 36156000], [52267826, 96867015], [98854840, 77627680], [35594223, 72058709], [45689954, 62657082], [58025370, 66997636], [29653602, 61616010], [71065421, 85523201], [58306490, 7276203], [83538269, 4300060], [26274278, 74895151], [93310874, 62195333], [31466176, 5436030], [63662339, 44138612], [98692490, 32860695], [88938334, 34840054], [21485421, 35453007], [63876361, 77069574], [19728855, 48748991], [42105069, 72717110], [53260196, 41996982], [56759130, 18280416], [50275072, 67066923], [71440645, 33653952], [54589252, 66708589], [29535792, 46566845], [85785359, 66223854], [42532434, 10237830], [49837160, 52832421], [46616930, 74664528], [1562707, 18957397], [92854676, 8490033], [37066705, 20353067], [98141113, 63462425], [43239093, 81264552], [42694138, 83239793], [30121531, 32724733], [95612114, 45940543], [75881101, 62891482], [64574544, 2175788], [82421760, 38464306], [99802148, 8897032], [71992615, 13272476], [71605440, 75302870], [94089574, 44583120], [67472557, 25320826], [83770830, 19175292], [16706547, 8194554], [78018187, 30227231], [86315856, 33071645], [1298274, 55876362], [47930527, 64614652], [2986382, 66116867], [63190659, 895539], [72675126, 12134852], [83250831, 71381054], [8906363, 39439809], [64187254, 15056584], [44134477, 78239710], [27298470, 21794935], [60229668, 8754557], [48587499, 33098919], [61054201, 18352397], [53277682, 5231083], [67619519, 46464657], [57885113, 74750364], [48446746, 81727548], [97378827, 21783672], [84747943, 98327764], [86398238, 40880533], [35628654, 44307852], [61748991, 99218222], [29055549, 95999760], [78845625, 69504976], [5352747, 4854766], [80593170, 32394468], [91728733, 86690481], [53423965, 6690316], [33614214, 46947751], [43512178, 2487639], [81512727, 84530883], [11391583, 41563420], [26725200, 3819167], [8268030, 80954602], [94782715, 1248844], [1033273, 9047114], [82446079, 33906178], [72453522, 30570559], [55615448, 71636156], [74342569, 52605452], [63850794, 58038773], [67902190, 44393238], [50690194, 19795796], [28810704, 47239672], [78814721, 43642842], [59374420, 80193291], [24235587, 59101121], [39272941, 7669449], [15972175, 12486606], [38634804, 33059801], [11759788, 54453190], [91824042, 8610091], [44432638, 75469854], [35776865, 32710439], [94098231, 58104769], [9147468, 92338423], [40184645, 89889905], [63171199, 74565312], [89365483, 97722575], [51841728, 62887345], [58412593, 69993127], [79562145, 97413300], [53134835, 28223750], [44929699, 64585841], [9474593, 66677693], [30934329, 66391002], [64850965, 30136785], [6132341, 22337832], [91263218, 2813241], [88580156, 13160476], [89402018, 29204285], [87945567, 24525009], [85288401, 14838037], [52490709, 56240020], [52585390, 80055999], [56945721, 54737174], [57202297, 17303107], [19146462, 60763312], [50506890, 11743128], [93958390, 47047593], [61584749, 88677437], [79644603, 21970344], [44580116, 64327701], [71503632, 39130952], [66348350, 7794163], [21959573, 80765961], [72796404, 85838897], [22906115, 74984154], [55507663, 43207168], [83894574, 37310182], [77012366, 18254052], [91685255, 95145798], [34148077, 48665332], [69122791, 23852703], [41928499, 58233192], [9765857, 45951215], [43613466, 1442223], [95025413, 13135085], [69329665, 72937910], [20172473, 66688272], [20306379, 60506783], [57842863, 28108200], [35705251, 9549714], [61192265, 26671797], [80188403, 97156342], [30173078, 74484059], [95832, 51440660], [87501284, 16348521], [44559191, 2750148], [82867455, 65440277], [78404866, 23624923], [56736888, 75101178], [35600121, 25230156], [26963475, 45618630], [70393846, 91630576], [11749053, 73770047], [38027391, 97510477], [34775227, 67334823], [82309611, 59670123], [30481281, 57073229], [6561676, 20661512], [22010854, 65860792], [86882704, 90465408], [90016755, 92902802], [33960966, 27527840], [87324230, 24919776], [85121228, 48556330], [45741434, 11391527], [70022680, 57779201], [70749220, 83641027], [64795331, 32663480], [31459083, 43270165], [79137836, 25170942], [72894428, 40511955], [66495369, 66630540], [48549660, 31136223], [94941414, 93869881], [42862908, 20779417], [8149217, 90296058], [54098629, 20650614], [78858936, 40093192], [85908114, 38909319], [37152066, 79146558], [60061079, 47566488], [38460841, 29081481], [73280116, 46215100], [76148356, 78121648], [13614369, 50684732], [88387964, 21090368], [57693779, 27953165], [22370832, 33230330], [911681, 78221401], [48755613, 49048438], [89258754, 85380263], [82487737, 13737964], [53299975, 84913539], [94615656, 329781], [74552434, 16542876], [19810309, 71820103], [70513643, 96418334], [16912908, 43356285], [24575340, 36687749], [96138844, 23865146], [40028410, 11414297], [4912882, 35680796], [86029734, 34952710], [93058756, 55186970], [87945140, 84031505], [81767271, 59108536], [88002690, 7217671], [46394253, 16796656], [61926616, 8502085], [90639242, 67566859], [99445577, 2387766], [75237412, 25771128], [26650905, 69288285], [15864534, 20272560], [78821737, 58510462], [89649018, 10880767], [14564362, 37985624], [77712636, 77291795], [1328043, 71722096], [76691059, 19738457], [42030781, 96596224], [75972884, 63400041], [1711263, 46713627], [61415020, 60289418], [12143901, 8582939], [59397865, 3035801], [97006429, 34944476], [22037511, 86366771], [34053437, 50611500], [75430986, 38899860], [26483959, 80533872], [44757599, 41825084], [35090077, 96811747], [75184934, 52257169], [35248241, 2798371], [58195532, 17971296], [5135306, 96395396], [69736806, 49880423], [90463047, 52898613], [48119020, 82018539], [43638435, 90231605], [98688687, 83635843], [37384334, 88346106], [18130470, 57404101], [16632157, 71660220], [57426973, 91265818], [50437041, 67923890], [40398331, 29515351], [13005901, 7968441], [84018005, 21909904], [22141215, 90409293], [71231398, 99421969], [84683764, 57632661], [93985426, 52052499], [48930738, 48464900], [97938412, 85078730], [56121393, 76063020], [76733438, 99371059], [44655883, 4352724], [26876728, 2021059], [87300759, 42421857], [52655761, 18928094], [91262882, 48918568], [10067524, 77238436], [36533470, 16415525], [34049015, 55379866], [39445744, 17588957], [45373604, 91622136], [16287463, 58065897], [20523367, 27614851], [8316368, 28698662], [9150163, 88772306], [4189147, 29212392], [96975351, 80041310], [83443606, 39790515], [73284731, 41928718], [92859053, 86431541], [40504787, 65506833], [7346671, 11550305], [74244004, 33480364], [73445962, 95822027], [63999008, 59259307], [75430055, 14828528], [66121439, 76983621], [37497896, 40532241], [42253501, 5110205], [7738991, 48578096], [8393062, 59812219], [43685434, 7443103], [29159230, 66247071], [20753769, 28023366], [75242508, 8327023], [2084655, 39511980], [30657242, 14527150], [22446007, 92303431], [28659243, 52491007], [69567673, 25543309], [84316584, 76249085], [6304110, 98924627], [24771789, 89416062], [67791138, 51849243], [26302560, 20610753], [94521150, 45386582], [83535571, 16215706], [95236224, 36150734], [757879, 35947924], [93135028, 44272868], [77722462, 40575193], [85931918, 20335123], [73623653, 49275953], [13294815, 58404286], [6286296, 2511388], [88549915, 26718556], [8701130, 29679316], [21927198, 77505901], [1406209, 62518823], [63523428, 86070130], [6075728, 30397611], [14431870, 35867457], [68725447, 54090095], [5141519, 8373786], [66358064, 36819371], [78735432, 26665804], [1029596, 78161505], [26803387, 66540058], [21045991, 65453614], [85061892, 26569490], [70425621, 32974574], [13600220, 817081], [66288419, 14929429], [28388079, 62967348], [34551773, 1601402], [25909084, 28711204], [17546697, 1729471], [77678073, 59371038], [66553358, 28378200], [2465269, 75991825], [95667427, 63206739], [71656201, 28546635], [45321457, 2026207], [52124768, 87955308], [6452368, 76579897], [7531326, 15802319], [23794767, 85338106], [3055693, 22403514], [85582398, 3681908], [66368240, 21534046], [9252008, 74465618], [75433144, 28099862], [54163449, 29808005], [96687129, 95808110], [23858902, 33441177], [91681089, 40190921], [52605785, 45330436], [8007923, 40156189], [62917390, 65598119], [37456514, 45182473], [84710660, 53929750], [10178150, 54748403], [67802633, 17759493], [59367663, 12637573], [3632327, 45375902], [59412559, 71815550], [42593412, 94095959], [17052529, 16460288], [77488168, 71125721], [43364886, 60325539], [55082732, 42098275], [31036495, 16682231], [15671303, 71328146], [63094061, 86328474], [59925894, 11380064], [86415286, 14504872], [48279896, 18977359], [21815875, 93900982], [52156770, 78617510], [38074685, 80828793], [678662, 21526980], [23105023, 64950450], [17848966, 70202342], [85852196, 23822869], [49043983, 21524836], [36085759, 9102619], [59767500, 80403809], [52212383, 64692076], [84912389, 48197713], [25801861, 43370244], [77986794, 81886061], [99818853, 60955529], [38402025, 60233029], [41445899, 80168905], [7965472, 92843088], [55920734, 86482476], [57416607, 45719165], [1439203, 6841075], [51636541, 94740487], [10327339, 2379217], [17382145, 89025108], [78405881, 18706149], [59162609, 53058411], [56392170, 25348653], [60764210, 21631943], [74058959, 78056614], [95551482, 13361882], [31799708, 16755457], [78374721, 51218310], [82464467, 45066182], [43496006, 9836067], [69911971, 54917673], [18976493, 42358703], [50059494, 66645737], [33370449, 54689342], [46187886, 17640559], [61662974, 13995226], [53578666, 8944372], [42201912, 40542303], [94139843, 23314712], [82185297, 48515051], [53154266, 67233250], [87569955, 42557008], [158628, 15048923], [44234029, 55861047], [41078910, 18047962], [65484091, 43139713], [6898119, 75396930], [49384717, 22938946], [42933180, 16794429], [29557736, 44102898], [94499948, 66703685], [51284718, 54173935], [34561626, 28306886], [9422703, 32268319], [84334450, 49071636], [43756303, 37363954], [52202133, 27915824], [50281424, 71260463], [426594, 64370602], [38966975, 47813749], [96820524, 30353618], [4435496, 98755517], [70154002, 28571031], [66331244, 63978327], [52184169, 57157206], [29670660, 98605152], [3544597, 56999327], [74927608, 24676101], [46390207, 3693391], [36614008, 39945538], [45938327, 18830294], [60142602, 31802241], [88298936, 59842975], [71837369, 94982999], [54797110, 92877013], [64499391, 52996468], [57631672, 61535813], [33588734, 67282107], [65150111, 59273365], [48370994, 75538167], [31216067, 56666773], [18772779, 45373956], [92281836, 44569251], [30515211, 23520973], [78639978, 89342742], [83931550, 41803369], [54765868, 69584697], [29707105, 45058897], [23509680, 6224847], [64521485, 36433501], [72015731, 24764680], [15677103, 71870598], [80431230, 70758563], [27158, 70036308], [47687164, 62175780], [62927330, 9178192], [25361828, 66398651], [31921792, 77655077], [62075195, 89352241], [52418727, 8578317], [2412379, 99606081], [39719133, 21975130], [56356475, 45241739], [43812715, 73753403], [12018814, 78740046], [85130091, 59821848], [24559963, 36534576], [85025176, 89599736], [97459767, 99227571], [75124290, 34227270], [43764113, 97011837], [7063606, 42438927], [76091667, 54605424], [6684633, 27050368], [76157970, 36838920], [1618198, 77242704], [51647223, 93937707], [89124056, 12691798], [6694193, 39888976], [95863815, 79587884], [23248907, 57549989], [26806199, 52202883], [89508974, 70217543], [25760522, 20830559], [34253126, 31053614], [94236993, 38852217], [51955754, 99011388], [80143411, 48636518], [79092392, 1843794], [12582886, 42595272], [39853318, 63805879], [88829564, 80396704], [53207143, 99065735], [7472039, 37027450], [57254705, 93022087], [93823238, 43297504], [68674978, 20606634], [60815569, 82708499], [16265239, 15154878], [60905185, 80173818], [79114923, 84152952], [99710483, 43032688], [63374087, 88381051], [82777973, 99123684], [94085721, 34487337], [28141044, 63199909], [60484278, 67088233], [47027618, 80448971], [88589773, 491871], [21516347, 36124261], [31487531, 42778932], [10810934, 4661379], [41714938, 73721497], [94298311, 23863846], [43729267, 67109422], [56033457, 38380142], [6850528, 6856742], [48922916, 88913066], [95856241, 76050811], [99515441, 94470077], [24024449, 60137378], [99086460, 22659438], [549149, 76722634], [8657031, 73355192], [30625510, 90523222], [28363979, 40792770], [13412774, 19594830], [35428999, 35350449], [44936539, 74138739], [66910695, 16562169], [53164842, 42941420], [69908060, 25823064], [41587871, 47893470], [66788495, 5072319], [29315916, 25653639], [9088876, 6197126], [49692644, 45132052], [35299768, 44361388], [78997668, 37240000], [57332106, 28689867], [7424697, 93994289], [70882758, 18122228], [66452167, 52360096], [37853078, 21829184], [4232945, 90837235], [6219091, 22453054], [82558380, 57762792], [48432898, 53387111], [37083466, 35883002], [553176, 98589413], [82511851, 61429020], [84212065, 51991820], [1725978, 12395716], [68549392, 55395341], [10199409, 62565309], [74499004, 48106413], [85104287, 19207196], [97926228, 75998691], [1011042, 44456934], [49407273, 79281001], [53199372, 31257743], [29194441, 47643509], [75473886, 43205556], [20444892, 71873942], [70144180, 40723017], [74929950, 85632948], [92865216, 13298701], [74642330, 37644746], [68032686, 92135031], [32300993, 1325619], [1187224, 8629796], [26961545, 44053731], [12703172, 41117473], [66510870, 1914786], [2482255, 21621231], [77500466, 97106425], [51276732, 35624365], [74605264, 5715612], [67881542, 77788745], [1300447, 43467497], [73036505, 79284868], [15145485, 59532208], [22254198, 97977221], [51711177, 96331531], [40944898, 37153688], [23072757, 53171571], [52800915, 14905793], [74278570, 49038300], [41458501, 11284930], [67412343, 41934591], [77282637, 32120963], [96272158, 42662694], [27105383, 70797854], [30568568, 23187666], [2664172, 56971487], [96748685, 62146300], [92376992, 25987772], [26726459, 26572536], [51813122, 35806051], [6511399, 7182107], [12361018, 2316725], [61221376, 35166480], [17520433, 68494846], [34485211, 98328422], [71584003, 98635008], [94631946, 97854522], [32993612, 16567067], [72042528, 31352763], [17233397, 16239722], [33985298, 33448876], [90382170, 42748581], [59696904, 51110311], [34915801, 58293776], [38286400, 96609439], [92389645, 44352124], [23192063, 79586567], [43605061, 88978491], [28570260, 7469015], [81589056, 16034916], [33168383, 87160453], [48666331, 50751890], [87505796, 99450139], [94277843, 88345697], [47336263, 43309254], [4189919, 91432964], [93157821, 40404170], [48935049, 5902541], [49579129, 58833389], [23107625, 80669966], [84706377, 74326296], [21520342, 31046138], [11993826, 11062631], [36355295, 87508152], [41272408, 64851942], [38237024, 70432151], [42848614, 54870205], [3927917, 20452665], [73697100, 2544717], [46592155, 76012878], [46822651, 21301326], [98672730, 4175581], [31620133, 91164654], [17716763, 61764041], [83073485, 35026468], [5948352, 67549503], [49194571, 58480426], [89627849, 85735886], [89044850, 37452441], [74964459, 25264344], [16734863, 15568910], [3870369, 85241176], [74116965, 23856385], [31122903, 52367062], [47947030, 23229500], [72897561, 49153049], [30851991, 46805972], [11391530, 64801755], [23814883, 98331096], [94530464, 73004884], [71706502, 63353021], [20665872, 24493285], [37418993, 96343629], [78989873, 55296432], [37656981, 90722233], [9994865, 48152027], [82978622, 82694085], [96313243, 53582455], [65022379, 35642539], [5660872, 70948225], [8093646, 53096356], [62721394, 55632887], [96396177, 80168717], [6775125, 97255834], [63903213, 70025718], [12304548, 15558087], [71342572, 96571151], [68847189, 57252144], [88432340, 11105087], [25262678, 26968505], [88814486, 48894969], [34481720, 1754933], [53189601, 34828218], [6195942, 99049937], [61494014, 60228209], [52269237, 61461645], [36970935, 16762008], [18183448, 66133243], [65591916, 79159437], [39327934, 83413063], [45111353, 16151650], [42340433, 78994668], [87540695, 78280455], [27082941, 2781342], [12719374, 9723319], [72473510, 8289137], [59828558, 65502365], [93770224, 7291200], [71430624, 6441436], [51890742, 72562177], [71887492, 40360464], [50111363, 87669071], [44366294, 56133848], [55426451, 16860630], [79214790, 86266076], [70541954, 72659638], [86339770, 10015929], [99847013, 19566370], [4096835, 90842183], [1566822, 72942392], [97632881, 55990233], [41443456, 72975647], [16643668, 11462713], [2286102, 60994284], [87251477, 67926464], [80395863, 78947465], [7775072, 50627569], [76830844, 85108672], [24868906, 91342563], [88233471, 57013574], [83932584, 45683544], [54170542, 19224697], [6129197, 7969386], [69402320, 28790726], [88833412, 72245827], [42694921, 31719495], [5939406, 89586678], [56351427, 24946256], [40933369, 43547593], [10574048, 15907312], [59241241, 6035344], [22814299, 98709775], [54802735, 67708364], [97678907, 70091555], [65497161, 28869686], [42519361, 23264437], [7365970, 50571519], [54895850, 76427808], [74332053, 1366384], [31219071, 51538785], [35728104, 19927829], [85779456, 6047499], [88110015, 55927244], [65895400, 6425210], [49565328, 17934625], [30624616, 61857911], [47745379, 7508913], [58108995, 80610168], [49398587, 26369635], [67854977, 63680128], [53684132, 67408405], [75939549, 26639334], [39836298, 49486895], [11461136, 87980273], [61664889, 98466109], [27944037, 35179374], [83270677, 39479188], [99406043, 80821105], [24704950, 22452246], [57427889, 31048074], [55078297, 46938369], [3063491, 35830592], [17289250, 11268898], [59874674, 15472056], [23299374, 71222249], [54828459, 67596046], [35401808, 25736507], [32227323, 155371], [70221066, 76308246], [64493642, 3875994], [57609689, 2986648], [9512262, 58199160], [99778815, 435745], [29007976, 56031320], [76039735, 58140964], [14668705, 39797967], [75181728, 6584653], [68517588, 56857959], [75966566, 52661972], [311607, 3733220], [57654752, 26281764], [71436811, 58671877], [85166461, 5805796], [47192833, 17418059], [83830392, 90611285], [74913143, 61030484], [39061220, 98206290], [24801682, 91123731], [8324724, 5768691], [28194659, 44245051], [89826671, 18082016], [76188324, 66038440], [37087814, 71172843], [49280201, 14220359], [29345449, 93889517], [21797092, 13618962], [93489471, 29319426], [30843538, 94974638], [3931642, 57583725], [78947044, 6238541], [57160148, 12768298], [60588881, 53353692], [68233996, 54321627], [793178, 7078510], [94209979, 59468028], [1927589, 23754760], [75116351, 67499871], [67732483, 35875487], [93168115, 15253841], [85311505, 52803652], [95614153, 2541886], [10701669, 38854045], [40501419, 56073972], [62033967, 27688441], [88467725, 60459326], [82201921, 69483726], [50381877, 19271183], [72200702, 37301561], [32727025, 79627840], [86148189, 86357277], [3646734, 35351283], [42671545, 11982793], [29448935, 96911073], [35563289, 77858675], [65539587, 51255448], [98741395, 29931098], [42290031, 42142263], [24508407, 85676535], [53015795, 89410510], [55602287, 39951339], [71688048, 17469362], [91522885, 1482301], [13449855, 16695384], [87523412, 94740228], [99594927, 44567567], [7605973, 85567485], [91799183, 17674214], [33461336, 52055618], [81994580, 49330656], [50113481, 28543696], [71656134, 95507049], [31666396, 15602627], [40266716, 55654832], [709026, 41556015], [44906893, 89446015], [8188428, 53592894], [28993340, 5561626], [21779798, 26493379], [82638970, 4373224], [88886302, 79294681], [66902957, 79403616], [40363556, 11078501], [53135612, 93964694], [44559852, 72577243], [7934925, 88374054], [53838967, 6260433], [79789591, 7652200], [38448164, 29723301], [8256282, 12641351], [42387287, 91815542], [27713403, 73185119], [15029385, 94940185], [22825999, 43230950], [36516043, 67142225], [46970134, 86426149], [96280702, 58128028], [19242811, 15090654], [46049861, 500010], [7513745, 34110092], [62060638, 47528666], [27798179, 76975766], [77893998, 43088586], [38230203, 24234191], [38841261, 80546704], [34614376, 59186016], [67772060, 15236133], [24883028, 18593003], [86618883, 16336076], [10685833, 52550022], [10237008, 75685270], [62448051, 14964044], [71849766, 27582562], [69080552, 45488525], [72503548, 40204690], [56051849, 74857189], [21703583, 90880105], [71225319, 13788261], [76405066, 74996948], [61114809, 23572583], [98830356, 35597215], [87872570, 33663044], [13224206, 66976150], [78985664, 15674194], [47388930, 69433934], [2117822, 52349940], [93037750, 59713754], [37729073, 31727954], [22070170, 35565310], [85637521, 13259938], [72713668, 78827062], [31760616, 70907617], [69398954, 29720964], [57905581, 19683228], [81167339, 44136112], [56566221, 44376373], [35194009, 13799658], [28138255, 79111368], [88162292, 21951397], [56931673, 88200193], [50056649, 50493166], [37241574, 8674061], [85071598, 23007867], [95530267, 15002267], [98475324, 5691197], [92454662, 13109917], [35306060, 15322107], [98314867, 83593645], [9279531, 45971486], [88042964, 74211406], [68835448, 31415237], [10633669, 92312840], [52561192, 17969577], [7306090, 31443462], [90744212, 24725317], [31753878, 45289277], [15740323, 44200257], [67477081, 14151861], [11116279, 11822354], [68111508, 60356442], [34937035, 4526685], [75405140, 61915445], [47327877, 62198679], [31375120, 72050324], [89885861, 49587179], [85176125, 88208960], [74308947, 48725479], [52101758, 8266239], [50630739, 93813479], [25622715, 2485589], [27759012, 53890002], [42288822, 65673020], [95153366, 43089510], [7255516, 68111305], [72006259, 92937301], [61713359, 79154085], [8633990, 89045801], [16061689, 17702320], [22890137, 76114360], [53358353, 94991902], [76174620, 9877557], [8785226, 71811042], [92327118, 46888218], [77257593, 62758494], [23323661, 95558482], [5607733, 32094433], [48256411, 38138271], [47748277, 80378450], [57016119, 15201479], [98454995, 4687219], [27484045, 94558378], [76425990, 70715546], [87918350, 94608037], [31188905, 34333330], [87828752, 62116170], [34191228, 19534742], [35156192, 75029508], [14802659, 80779453], [49289464, 29292461], [14293837, 25913567], [6854288, 8366987], [9383195, 65940305], [44569226, 85555654], [37386886, 28556920], [53276479, 65425788], [3327869, 46082739], [52295383, 25460205], [76647729, 83400709], [17206262, 42632222], [77107933, 1088863], [25025978, 84199354], [81932456, 77753596], [95614165, 70150665], [20856764, 72675386], [7027722, 40894828], [18325214, 4286430], [26616372, 63699195], [13141958, 57392722], [96737093, 50915430], [13763346, 90652654], [43413309, 82760851], [68341040, 38277194], [96842427, 30447605], [55012019, 52965638], [36649784, 27690994], [98716460, 32633650], [47272645, 33783422], [83391516, 22438101], [1591341, 98385512], [46210442, 57132742], [22741437, 7874167], [49506596, 16071797], [77157123, 76410439], [91002966, 61039019], [52829357, 9661072], [46613520, 75365023], [65739934, 713495], [48723220, 5512490], [70829335, 2056414], [54287944, 30583072], [73497153, 44916382], [19926215, 96979737], [46938424, 5778303], [84862408, 60416951], [55710333, 66609156], [81642353, 65007768], [95933358, 95889962], [50199740, 94767233], [88254427, 44435584], [47316621, 66282913], [65666407, 1498420], [62480606, 31167947], [29544609, 51735929], [85852826, 12239888], [88687609, 79091099], [38749097, 50095462], [40990214, 53610264], [59686940, 9151234], [50697532, 13491264], [30886589, 39437677], [48136186, 90367405], [86923450, 81282465], [49241656, 46852333], [39619902, 75838863], [25111947, 84784617], [49053119, 22973223], [12778522, 42653823], [32976725, 39062186], [7701845, 69992006], [24702806, 31622796], [39028580, 49223691], [50825523, 69171942], [51647768, 26232054], [93245087, 28121217], [41935960, 48679788], [53044244, 66268725], [8324981, 15857902], [32248021, 73582637], [52465931, 67903073], [90114408, 32025315], [27415801, 46805277], [92151271, 71498058], [98123593, 7617802], [11019797, 61154670], [14394057, 53012285], [49702508, 52356621], [58959795, 58434612], [49432983, 39526473], [72178694, 82811484], [99936347, 28817604], [61246390, 54913184], [27001676, 77953573], [98707863, 78215299], [27462978, 20247481], [3169439, 78895929], [50916902, 48588403], [61427362, 42419240], [50253831, 23776626], [8917299, 46984604], [29267190, 38085885], [865528, 61415338], [80964892, 5364783], [7256219, 87211771], [4811259, 95569005], [13529672, 12397261], [98627262, 86335720], [8203860, 51359036], [2299003, 97267643], [10942071, 3172055], [11720977, 61709170], [56156110, 14734681], [5909066, 70531024], [6753920, 92647946], [63965426, 92928176], [1883256, 17294571], [15527298, 60194050], [86595650, 76112317], [46194002, 51328027], [76796246, 57287693], [80428535, 18730900], [71740983, 42493177], [55152501, 67582247], [58474796, 92967210], [11816977, 46071387], [71317667, 86594539], [3624799, 10675714], [20944621, 88029373], [30365710, 49701844], [88380315, 31934875], [27461604, 74472163], [92707373, 11059251], [58354194, 28737163], [51534825, 83732658], [6857951, 50378999], [32975016, 94538893], [15911130, 8070500], [64611863, 73846177], [61680516, 40456333], [99837634, 75180556], [58383798, 67242914], [29690085, 33239179], [791300, 33505972], [72196879, 25030060], [5519041, 19094196], [26840776, 37811270], [66243299, 8267001], [77747323, 1360745], [14092792, 76113337], [86905604, 60358493], [50234387, 54225906], [58195914, 87318657], [47264762, 68398675], [19201117, 75974661], [45581891, 86737992], [18168987, 19408921], [53642269, 97467474], [36837308, 76301026], [51908500, 96169990], [13321840, 66559972], [76008209, 57562587], [44783881, 26742492], [20259739, 59808598], [96972915, 65537920], [95688402, 83347082], [40246890, 92685695], [17636477, 49003618], [18192752, 45558542], [52198283, 3075007], [18758436, 83404180], [36635060, 92615326], [85681755, 38871490], [22755385, 79116831], [46299206, 76451413], [24198006, 40376040], [27126708, 52135832], [72858463, 95621639], [10618406, 12826329], [53367959, 53678782], [57973486, 44784294], [2027101, 10086800], [95365220, 59426216], [58335343, 47733823], [36710358, 73457173], [86768114, 42011702], [94103414, 12093383], [66693521, 8454347], [91467280, 62516572], [2402659, 21223181], [45566784, 91643681], [61547083, 65044761], [83350459, 35828092], [63847156, 21671486], [60986385, 10730598], [41236411, 86561411], [86068320, 4493207], [13060575, 39051634], [16882285, 44664449], [93607795, 31097434], [5225761, 20818616], [31328239, 51874837], [9291602, 16797764], [83108662, 87799997], [52775931, 97312943], [39531510, 50814319], [69313835, 69177660], [10547111, 3338376], [58103529, 66485726], [44387317, 57609391], [48378099, 53518905], [10385452, 45069702], [45406469, 73764174], [10597714, 67432637], [70384199, 49045264], [33252691, 50993846], [29213511, 49848410], [41746101, 97609785], [54578455, 15915280], [21388822, 57225882], [20194491, 79995685], [56323931, 24356674], [90618199, 71860063], [46515440, 653690], [74827607, 27993034], [97669631, 17116349], [62054511, 45321935], [37255700, 85380511], [49072268, 31002871], [30849460, 64694504], [22810023, 36967010], [63022177, 94854720], [33659657, 56662074], [39458707, 71449892], [8690438, 69498920], [71886985, 50672396], [11599936, 86780376], [90917995, 49060539], [99609391, 3681003], [930389, 62753604], [18927514, 86073867], [78868572, 8768377], [68439665, 47739984], [81720630, 2734481], [87380073, 28109799], [87874212, 19909425], [35106214, 72336195], [84258137, 2183578], [67677511, 13357735], [76294965, 95275668], [6772265, 71983895], [700562, 12807652], [59281291, 83281767], [60183347, 50133354], [94979132, 48696273], [3580375, 62799249], [21306002, 79213136], [44329451, 41503989], [45074605, 98901817], [92798586, 77067199], [19858078, 77069787], [44011583, 65423315], [12421160, 58958919], [49379533, 13198567], [95574295, 37240186], [82757977, 44835879], [1992171, 36643737], [87005619, 84550027], [50713674, 5828412], [95896935, 13691583], [90303399, 63039986], [72606219, 64407329], [86752000, 27896864], [94093159, 79462748], [94846626, 56972354], [17676987, 47307907], [71915303, 38139531], [88469683, 51518981], [68984954, 52328501], [27221848, 17962171], [21765544, 7843928], [55907295, 14470466], [47106701, 39148256], [51027239, 30902764], [31213090, 66384667], [71512752, 59768375], [36231310, 82854593], [52713778, 59740210], [39103249, 40986727], [67769016, 47272990], [21655640, 41887871], [66823458, 34493061], [88212028, 81829271], [91378593, 49181338], [12840489, 733836], [44239138, 21145449], [44565584, 36256727], [23282124, 76462187], [96030320, 70382056], [77147106, 25918353], [33455885, 47240875], [72633908, 58037071], [97321038, 92316189], [69048566, 71341187], [1192365, 49740017], [92254235, 9100500], [31837030, 99528329], [22310146, 31836521], [50511249, 77280752], [68733745, 20170190], [61132384, 63542836], [10857822, 48588159], [83665422, 45148055], [64711212, 7356078], [9513069, 9419743], [37996529, 17422150], [82574304, 78013687], [58976717, 33324747], [12587759, 90171939], [60300817, 34565875], [41745818, 14245791], [19254048, 64705584], [93687218, 74097084], [77312012, 46936387], [75395444, 78928100], [65822605, 49504947], [48587418, 39547321], [54173612, 93478133], [55687514, 12435771], [45017297, 67296375], [65438415, 27557261], [63632999, 61231386], [20160474, 53021880], [59322139, 67832967], [91184572, 30773847], [66962590, 42548493], [20318454, 49115026], [95385331, 22828383], [97876998, 13828352], [5382902, 72373713], [41459891, 18971668], [33541051, 29945737], [43895785, 10717624], [11487281, 8404141], [10916888, 41560623], [99919720, 65569437], [2231419, 54670832], [5137695, 56216717], [15098533, 11176735], [13336096, 44628013], [16335177, 86161488], [99838933, 50399708], [65278112, 63852179], [9956643, 88475527], [56639804, 13233668], [41954765, 72570630], [94217098, 91218052], [34903772, 35531156], [86139159, 10283641], [59658399, 51145135], [51636291, 66999588], [89314166, 46778275], [30893693, 43169299], [23106015, 98127432], [78512393, 93102123], [54096413, 28342731], [87471745, 88036564], [20743274, 50539246], [93777122, 5613597], [66422858, 58440196], [42707310, 69350748], [91478933, 93325581], [39917139, 8926960], [77950369, 68716968], [29142003, 95159459], [84164981, 40283545], [703777, 98583786], [76722637, 59801659], [16652749, 33478261], [61976348, 62497305], [99099608, 2086573], [8811394, 1570100], [80828526, 85368370], [51293366, 55170445], [77545877, 51636335], [10434577, 48945432], [87126058, 80200180], [95449318, 14929074], [18975582, 32761442], [71873837, 16104763], [3074288, 35618655], [15542368, 20631272], [52667792, 82693448], [48454155, 8428109], [49182806, 59801024], [15406529, 13086504], [79467322, 41082535], [21458583, 3008525], [23774683, 53883157], [21535686, 20210206], [59016705, 94913071], [81178053, 52605002], [55241212, 252523], [76733030, 69069367], [89277652, 46786008], [7848210, 96113674], [97927955, 80334406], [69435400, 47735622], [22233513, 29820488], [54123814, 10747313], [22229274, 80715833], [58181126, 79754410], [74356709, 38193060], [87093413, 74469093], [82677060, 85054561], [55975015, 80667766], [60241433, 93634007], [26750765, 36988534], [80269656, 87344299], [53556415, 13389715], [18917508, 10109558], [18646847, 67217663], [18180784, 11709327], [1789562, 28071067], [54004539, 71052224], [82141342, 44479049], [36732746, 28515912], [34873354, 57669183], [33133142, 57573069], [73074391, 15316368], [377670, 40571387], [30800125, 5047769], [62577890, 83152390], [37026455, 90944590], [34230661, 64650274], [82261424, 35705997], [97158544, 47378883], [12560583, 522205], [60015441, 441418], [37104042, 94701273], [37934026, 61153995], [30641605, 51252336], [67565945, 28281127], [26035346, 63663531], [23986746, 27154761], [38940554, 39713811], [40741554, 62991615], [37674011, 74048670], [77018064, 79460503], [24980741, 85909190], [38921661, 33400623], [62412400, 92054440], [9501227, 5586088], [60745716, 8831786], [72524185, 69909678], [7455958, 95695732], [65643783, 21918762], [91538341, 42095373], [93757611, 90639430], [28643325, 54457748], [732713, 82198165], [75122808, 51273731], [82247928, 96162145], [1912104, 71414288], [37584740, 88655205], [1775411, 61892910], [11508239, 91784126], [93252534, 66161849], [61789895, 97578437], [84705803, 76543407], [26724704, 25837902], [98905805, 45554585], [73015597, 97747154], [90742657, 87313262], [35728276, 72541008], [56487118, 90065158], [710605, 80177209], [23380013, 91843226], [1997941, 4438505], [71818294, 30594982], [64938526, 50989803], [34187601, 74614961], [55729709, 99982290], [56166637, 60189370], [66445916, 56877905], [17666836, 75804927], [27741114, 39254548], [1287107, 52110119], [34745337, 94488452], [76490021, 33109306], [36239530, 29892164], [77877629, 70747331], [74902003, 11849095], [15199993, 91555325], [94450552, 64131160], [86940796, 95503670], [89631550, 42760724], [95951701, 68377364], [28418270, 50232060], [71511983, 49126237], [43659662, 92211624], [8225488, 6050138], [11419103, 74952893], [45439893, 70106954], [41945514, 22973360], [23221315, 65057221], [95276435, 90733377], [75752327, 82082685], [59110478, 96175877], [24835876, 59245631], [9812645, 39549549], [5625551, 55037126], [27647025, 78935846], [83942058, 74804037], [15341105, 48502386], [36411632, 34515368], [88262372, 78968515], [51638189, 52298331], [41275378, 18776054], [23706304, 42889478], [64874784, 52425200], [91608736, 64132530], [92103537, 23274022], [53093652, 44085780], [64666755, 61799011], [75785032, 78134920], [89571955, 8627], [43615828, 30661736], [42297647, 32123652], [79087366, 80395466], [94605470, 79231885], [88826242, 29602898], [59811405, 48491790], [22462727, 11744297], [78304178, 30039023], [87840437, 56192978], [86348140, 14841145], [93426078, 93020718], [35549313, 64083745], [79098447, 59459409], [11602523, 20709682], [24481037, 37632103], [2283242, 6025259], [33222109, 7884376], [74775611, 217924], [71939834, 22735120], [36666129, 72957588], [30086941, 31782197], [83822605, 79760431], [88315999, 5100435], [38346567, 81913787], [63689323, 81528846], [54396434, 81189274], [75921975, 8622069], [69551567, 53136732], [19694748, 1974377], [84893991, 74044931], [47596052, 48691640], [11782518, 58270676], [60277234, 30360612], [91175614, 64645006], [71461501, 61135301], [12840944, 45295105], [77092289, 8206897], [54208488, 89141726], [75260203, 2616754], [48610832, 643542], [92233813, 7264429], [1135344, 5937431], [55492343, 14555915], [60102915, 12143850], [68071126, 19773681], [44843671, 89509114], [20699950, 91046922], [59280072, 99941818], [67684460, 7561982], [1758599, 83762449], [23595261, 20547301], [2822716, 79837835], [83227560, 62280316], [55436177, 50607746], [3784710, 98269741], [5041699, 51075926], [16752661, 13696035], [15900028, 20083504], [8995336, 20274767], [97986112, 11792761], [32871528, 70532985], [90581058, 71313344], [10102452, 45013165], [76494102, 31338988], [65685611, 15077043], [91167046, 6275835], [38777406, 23055104], [28970203, 21048729], [33808605, 66984255], [4037929, 64116276], [48314528, 71006850], [4283981, 77939813], [77412529, 70354084], [28240694, 60324761], [71124117, 91032925], [3945517, 56211617], [30309608, 6016406], [61382187, 75195275], [10409360, 64718606], [22393938, 9640972], [80364901, 17302290], [62292918, 63387706], [16454469, 43779055], [97632737, 54494080], [22545603, 2868317], [14629268, 31173728], [86437492, 14149074], [49158503, 89227297], [85010577, 25556293], [48571007, 18710779], [50865586, 50714083], [16844603, 78922237], [40353228, 15266521], [62292644, 98222609], [47952292, 13758517], [70542947, 30796145], [36368328, 31539455], [3492969, 41734477], [73924775, 10047941], [83915470, 6553659], [101415, 31062524], [56238305, 61506258], [56274194, 62102954], [29253781, 27492377], [70551787, 30810659], [61123491, 2587608], [81526095, 58173568], [81529157, 83187521], [60299441, 89557684], [53134565, 15574698], [55041467, 66873771], [24289889, 49258225], [50356485, 55407558], [24679619, 47403120], [58745431, 46592855], [44753688, 25487010], [35165536, 82706956], [48523293, 64064969], [45704687, 2497447], [75073164, 16202581], [22284931, 92046956], [33613576, 82509413], [43215084, 12051179], [24180035, 24901165], [52916766, 41136456], [18914912, 31594149], [92233282, 75441928], [97952956, 69686013], [11889752, 37916757], [83780870, 43350529], [48289725, 23633460], [91639711, 41092702], [57742996, 97639072], [78255084, 276457], [32725974, 11073515], [69815653, 55694947], [95722895, 75940268], [51419806, 86471138], [65553164, 13953070], [72761439, 73780852], [55069096, 55142613], [38160785, 75844328], [92309646, 95759137], [63433731, 57638824], [90609156, 51550467], [12826013, 6782658], [61259247, 54985539], [92748256, 75266920], [82166401, 25372177], [83055304, 18622696], [37041395, 59682738], [46839546, 33882817], [92287613, 12265785], [34303801, 41940326], [31711080, 75804343], [79305833, 98045270], [15221742, 60178324], [56819331, 51203226], [80820413, 83600793], [21561097, 88906280], [28574616, 74956999], [10369070, 15421533], [8822044, 95718675], [55292912, 11502404], [30396296, 57031595], [75524387, 77902465], [84487875, 46960053], [29333916, 31006979], [66068657, 56887206], [77203816, 33819783], [53155477, 67237014], [24522777, 61294992], [1502599, 8250524], [46147128, 51779975], [55897044, 84565367], [46826842, 99448065], [42527847, 7098933], [55231407, 61165865], [13315975, 4035304], [49405430, 66070901], [11276662, 23156838], [20171743, 50908473], [319469, 82352107], [70726693, 65336895], [42796959, 49260658], [91156604, 37904757], [28573139, 759717], [70360728, 80522940], [20537772, 88909258], [69216619, 46983179], [92874466, 28635209], [68938441, 78223890], [89107321, 5662346], [7635966, 98967943], [90380382, 98021909], [92148299, 96294178], [86880190, 20113210], [80416977, 83946522], [8721103, 37838777], [27445156, 270446], [88811925, 57713758], [45551499, 76595018], [79729180, 86740990], [88345592, 16259459], [73285708, 74218975], [18077472, 68033213], [96236433, 89854206], [47547814, 91605441], [41402112, 91161655], [7804760, 10033817], [35870602, 65858855], [80974954, 35033981], [9119004, 1332196], [51656878, 44119703], [65743248, 81423453], [20384672, 13149249], [65008943, 16624757], [51159947, 95763001], [32867503, 10800345], [20691044, 83241873], [59053205, 93273787], [29264874, 36857844], [47488233, 80405167], [84622719, 32002348], [97134257, 94859373], [44434520, 61904011], [1623302, 97434311], [80637783, 44833861], [30575101, 7774387], [14639475, 43864583], [27836729, 63931831], [22781420, 47427922], [79798540, 45078347], [80237793, 6516163], [32408451, 23497408], [28505095, 76178131], [48229884, 22962065], [1469570, 35931046], [75747475, 31965167], [83616204, 99557285], [1432741, 80701201], [82259857, 12596243], [18350685, 92775864], [63616202, 76111230], [8459900, 86333219], [60360449, 58915918], [22015022, 97940174], [23891836, 48656853], [94490383, 34557939], [36109488, 37787246], [84474976, 81779412], [63632519, 77473052], [64867135, 39557050], [95114881, 36862776], [14745637, 63246017], [52400, 79875847], [23363837, 46093499], [70766012, 12694383], [79963109, 77931512], [90312782, 33525678], [74890094, 60108645], [92360810, 34379772], [45876902, 25768685], [84193566, 16597821], [15555073, 53335481], [70444089, 99908510], [29660415, 47276176], [66931828, 96461588], [78118164, 70009259], [14607338, 1520693], [83462290, 92890402], [27965239, 94007492], [68644789, 84767044], [88965256, 85211319], [14720102, 14488487], [80865486, 24171812], [5538535, 79876181], [67305019, 52983236], [51497603, 43698694], [87934987, 73396128], [84173986, 12956257], [81046483, 63698669], [76740957, 35133745], [91619453, 97830835], [61592489, 87428464], [23980131, 58124038], [29291409, 98523927], [48837389, 32625304], [72936579, 82122305], [12803709, 10494206], [27155928, 66441076], [80026487, 55878019], [68607454, 44210364], [48187277, 89037164], [71298669, 99647830], [91387159, 75593102], [70893876, 43461276], [10353333, 9163656], [49873070, 6946776], [96003999, 15108422], [16309999, 16522836], [1051669, 66147792], [37922064, 74246133], [55404545, 76703279], [62870812, 7412670], [22504846, 43535349], [55995527, 54413185], [32146420, 21924175], [7142216, 71855282], [96598967, 21257739], [45008215, 1092839], [78537720, 50260267], [88709017, 96397469], [5714473, 46012659], [96539513, 20000605], [18603477, 31029541], [49352582, 49410348], [48903215, 30334270], [31102644, 69473117], [20530488, 65304882], [38020211, 97162587], [81217240, 23731422], [37680352, 53826159], [28443657, 32210671], [54446726, 54491724], [11684376, 57406362], [74602645, 27902075], [25765479, 5863963], [37073629, 58960903], [54766236, 78162924], [39089803, 66656996], [92585566, 50869681], [94808971, 69802167], [56776341, 60389395], [29598120, 36486277], [17091154, 42278656], [66165195, 15338277], [13476657, 82519180], [99796051, 40808223], [25223339, 87946398], [94361938, 62140810], [66095884, 15084928], [75466888, 68073672], [69531311, 83694452], [13219793, 18313609], [80861529, 31376], [20018575, 42838395], [66228898, 53653266], [70111190, 56310910], [87828512, 89925881], [75647194, 89671746], [63637657, 53892768], [74328261, 26827719], [70841410, 28396930], [41801301, 61090057], [17600242, 29352418], [25093454, 43543074], [11115991, 81348651], [27878486, 18746353], [77202252, 70186389], [91899270, 79358681], [945855, 63955869], [71354553, 50683916], [39996567, 16139880], [51796390, 43617715], [17318972, 70110785], [2554174, 26480568], [67071571, 82296333], [56618134, 58724313], [67359644, 46348036], [98284311, 53303599], [47750609, 86632418], [15839295, 30213943], [3810712, 36162402], [20360916, 13905315], [62696515, 57919740], [96591043, 11866891], [28981534, 35932054], [95913893, 99685498], [38899140, 5685575], [34266918, 98603633], [62463716, 50287298], [49784320, 5208677], [13413747, 53855596], [10801770, 9029193], [29296348, 92133394], [84727969, 98031704], [24473036, 22939373], [58579899, 51840345], [81600063, 8808244], [84236053, 23788601], [46616478, 45321260], [12518224, 38936528], [85351416, 85046192], [77949839, 16383551], [3723152, 31606182], [60258599, 36813281], [92655831, 87100543], [28712109, 72772032], [99540069, 80464757], [57824264, 1304180], [85014573, 1470626], [68301211, 93724246], [88834894, 73791611], [19152552, 3347832], [77565042, 86034282], [46641890, 31879457], [93665252, 49885803], [6581998, 50382313], [8437239, 15526724], [97780986, 75852633], [70891968, 59671406], [2584843, 56080993], [47089475, 33973996], [66897741, 84438202], [8202549, 50162263], [1756687, 17144044], [17931950, 28954089], [91057763, 69272909], [26630918, 44911693], [45460442, 15960701], [5993291, 19313413], [14659168, 29868735], [48416783, 69639124], [93801430, 48390367], [80282554, 4532516], [27342551, 67184714], [31491840, 50242263], [22545032, 78355441], [72852165, 72615721], [44957565, 72652103], [46756327, 69586530], [87842224, 24637857], [34954100, 3201955], [65647184, 72002902], [8139978, 85903838], [58441884, 59067280], [92738292, 28837424], [56261353, 98733763], [84577315, 10430392], [22569238, 98915136], [85879809, 86226471], [52407463, 42323130], [97984228, 51782096], [60756229, 73107961], [97160457, 40543063], [37027165, 45762040], [77069290, 37947747], [38583244, 56336106], [21235776, 50219044], [90926403, 29480599], [13320591, 7182363], [72171010, 72861968], [54703348, 64023055], [84488784, 46349997], [37064608, 68319319], [3234927, 59294356], [36216275, 94151884], [8897249, 83801143], [80469605, 32693200], [74615692, 71299763], [52056859, 33134864], [72745624, 75497882], [78652836, 87334382], [34338419, 77944743], [10736714, 3236940], [14276255, 55256011], [43822148, 21367340], [67934096, 12217146], [59335032, 7282246], [20880181, 36419228], [28843148, 53075579], [97549570, 54720129], [90475234, 89018066], [21723902, 51196534], [86306430, 9048243], [285686, 65106509], [40908612, 94339684], [3762234, 22391621], [2983383, 49961428], [46010617, 68149431], [88776303, 67382930], [45685479, 6849738], [24994166, 61799272], [61990824, 23509568], [12572204, 53434346], [67797648, 3878346], [60225498, 52391157], [13357445, 79057527], [43494122, 82913777], [41936767, 97437624], [79836730, 67105332], [76420694, 45880647], [91039796, 32989024], [30701168, 63469200], [74799389, 19190384], [84026128, 92420157], [73051491, 54327256], [11830282, 49915790], [34656006, 74061405], [62729935, 35026723], [31459492, 66611411], [29972484, 74631711], [10300801, 42110722], [48840796, 40787658], [58161063, 52865552], [94542897, 20934487], [85142398, 2489968], [5243373, 40698681], [2640589, 3526887], [98496950, 52736023], [30076843, 95015174], [41418321, 43293551], [58987114, 2412390], [12700673, 78262489], [4235625, 94689139], [32290777, 19378067], [69062072, 17210606], [15226568, 75861648], [86997344, 29687750], [2488458, 27573275], [59197898, 11897400], [61199765, 2814329], [28229287, 98214966], [87390645, 24336609], [25949365, 69132621], [88448492, 19656798], [42575860, 50184920], [48108941, 51481573], [11268776, 31277423], [15168096, 96150804], [35725723, 54096087], [96322757, 80729796], [12728572, 74783892], [89097569, 1667027], [16315827, 5569975], [43562092, 31519008], [60657203, 10793142], [20479107, 92415566], [27094598, 64260294], [33435244, 11056941], [1827295, 71306199], [76817029, 20805701], [98292964, 5686021], [12817782, 90653529], [49925324, 74989056], [97924050, 81633224], [42617934, 97061494], [19218730, 61899424], [17058183, 35713326], [84122746, 5967976], [6824897, 64880494], [40546851, 82043828], [11332002, 41186989], [34853349, 34376251], [90021036, 98923640], [69952658, 84323362], [86575575, 99178338], [58155218, 35309993], [85525082, 93535517], [35386589, 82213159], [70841175, 32246992], [2378157, 30485997], [59128254, 75690278], [76201803, 93765686], [31637448, 79963260], [4813784, 90806149], [15644627, 44298220], [73512689, 5029712], [12835106, 77570917], [37467581, 44838925], [96741105, 41206033], [93577558, 96610035], [32088333, 56545020], [87500541, 11091711], [52867939, 50654832], [14021494, 72237081], [82148220, 22780920], [87771083, 43766314], [40392878, 86721166], [46626282, 99267540], [19803966, 13873191], [33337169, 18992725], [79076990, 73762004], [33161426, 69085631], [64078705, 57790083], [44928481, 57751807], [83502837, 3401224], [9048196, 841426], [43686858, 23596447], [72142031, 92046450], [73988550, 84240054], [76090209, 84021106], [22459099, 42122056], [75866984, 63598260], [34413709, 5271600], [27065778, 99100043], [58665922, 92185583], [7237917, 21776723], [90883730, 23026017], [98290199, 51414657], [51341196, 17509356], [79751866, 92187993], [84349297, 91011933], [46974860, 29281424], [58237642, 5524708], [7302085, 16543904], [52676282, 71595205], [93975527, 44211292], [75040329, 78725662], [76193032, 2258298], [76896940, 5125466], [96621137, 40192784], [5596189, 87221317], [73201540, 57741991], [60721031, 64982340], [93347086, 93336397], [56270731, 79668032], [23828326, 46176572], [90533365, 33612035], [64311722, 25791798], [12242780, 52514441], [32512150, 68156555], [78219312, 63209331], [94813035, 75034578], [39949208, 47654578], [10934407, 22400376], [74156430, 96593323], [60406034, 29132184], [2648999, 84826213], [96029944, 74263048], [15581746, 85418382], [2856758, 57316065], [50594113, 3757653], [46416679, 26458351], [12465593, 24439177], [18521182, 63614763], [26041443, 21982263], [6373298, 77728751], [41918676, 75522977], [56589772, 68443301], [43169592, 99854004], [55860873, 45465102], [57662652, 4805649], [52078977, 98736748], [71816267, 1106435], [44782378, 28844291], [57476421, 79889682], [76171019, 46256377], [67939740, 97982247], [15029696, 43224830], [12506010, 62045999], [6371517, 77908507], [26833855, 9253275], [80449130, 5200611], [71682491, 80566696], [16479845, 69811208], [50978663, 12516717], [39096017, 97896855], [72204066, 64303925], [77456514, 21498136], [19731148, 55594814], [77833283, 44989008], [10889156, 65518372], [57646826, 72624801], [98132803, 76850932], [86051763, 37728299], [22324539, 75531189], [25454784, 41974172], [75931026, 38806694], [93560682, 30951052], [24907583, 58887454], [43246487, 20572312], [82835885, 4851792], [29235153, 71710445], [34228112, 41643993], [43954099, 73775223], [17536483, 22569322], [5743282, 54892659], [74827389, 41201009], [39747107, 4916407], [79589441, 16073268], [53251780, 12002924], [65438990, 23678394], [57065983, 26081839], [1111008, 1012447], [57801886, 57223452], [26531099, 19627500], [20303633, 23145606], [8748623, 43739541], [38700132, 65682231], [96085809, 79406145], [70751828, 69955866], [1412603, 46083252], [92501216, 14253327], [70323279, 68151661], [6173004, 89522223], [50934692, 54627075], [75562193, 10414883], [23749904, 81893774], [16299821, 43453341], [62893770, 56603050], [62108594, 24075893], [14386034, 75685326], [32349927, 65083622], [61989139, 55344873], [66498262, 77450975], [24360717, 92836964], [65981375, 79837382], [39311307, 64326480], [78960240, 18854966], [94413199, 51773178], [74915754, 35066539], [86362381, 63570896], [61401585, 49973343], [30700028, 68825743], [86359442, 76148821], [40348095, 44621408], [92213444, 82781239], [5871612, 34803526], [4006843, 65853917], [38752311, 60192241], [48274770, 65493919], [47076731, 47964508], [69211407, 93595309], [62923472, 72217036], [62053700, 74286558], [75672377, 30195230], [34058849, 83810229], [54258818, 3681100], [34465662, 13457955], [60367684, 50348011], [29066049, 24863923], [39364998, 57233290], [43532787, 64648034], [54097563, 89070035], [60326928, 20793791], [86693304, 39109821], [23009920, 35722786], [60707888, 65505768], [37149662, 91246827], [17978146, 10735016], [68406519, 97806573], [45942526, 51363], [73142261, 10412845], [18723267, 6655428], [33820837, 68798710], [30509665, 65096039], [29726467, 3294172], [27897895, 10107869], [67754971, 12946214], [29414314, 99849477], [57372599, 42325085], [54487144, 55368134], [77566858, 43861017], [50964048, 91347433], [77438159, 52758398], [20010455, 17396531], [20307796, 4151569], [86524079, 46284680], [89548213, 15416558], [40961099, 79137142], [98520632, 12271987], [75694432, 29926682], [60121301, 51747696], [70013061, 97421275], [45995424, 15827834], [42779454, 2848097], [70586086, 12738018], [77573444, 26356818], [45940755, 21287410], [33487803, 22655262], [96670218, 82800924], [49386876, 65571992], [79303171, 97208642], [75764860, 74443161], [99634431, 73656835], [93700320, 14928256], [55486626, 80274219], [2673676, 29100759], [87447912, 63761488], [70377575, 49111418], [92443087, 33308682], [59143090, 85604627], [30202643, 5472000], [90772858, 93689125], [40210206, 78126476], [9255387, 17816179], [73668111, 50912571], [70625152, 36397225], [87733404, 89341107], [54895789, 2586924], [15983982, 45258145], [98799838, 56365209], [6222514, 30245502], [14730929, 13411559], [77746363, 56069136], [77224347, 85268927], [89001984, 74113738], [66664292, 6862428], [11083259, 51531914], [41670320, 71352597], [68768041, 44003863], [57978873, 10505041], [83644254, 30310730], [53752817, 77601225], [96401628, 55583380], [22351852, 1994050], [40703033, 92133639], [19129077, 76694305], [46744028, 29501730], [11023516, 62931257], [25004528, 35232497], [60074899, 31243012], [19990377, 85934958], [46316133, 61044598], [24905195, 93948862], [6112551, 50133269], [56730982, 7050466], [54883475, 96076671], [48125919, 42962451], [39129828, 44748133], [7161499, 20409836], [25828691, 88607834], [59112558, 19613909], [5245657, 62181767], [35146296, 92032317], [60437211, 35582846], [3479889, 88684934], [98814942, 29007039], [46376334, 855949], [28560963, 30442429], [43383858, 13024052], [71154250, 93480670], [71599763, 93135862], [20155745, 15834611], [76196084, 28216136], [17947810, 607275], [35159658, 50579593], [26224904, 83629484], [19256180, 13333557], [27945126, 22910460], [63800160, 62675157], [6558384, 67511422], [49847077, 13629205], [72486706, 5617605], [97699093, 48779595], [79273642, 73252769], [43468193, 37641807], [3349660, 30905803], [99691551, 47484507], [9861684, 34082294], [66877625, 26135984], [33225435, 593007], [46993511, 84505339], [22592967, 43403038], [29618201, 98427257], [71772517, 40422437], [54294885, 78206694], [85527124, 76158666], [57079365, 59198156], [9585346, 97122202], [64887664, 26133171], [87974880, 19797491], [26051719, 7602524], [10354286, 64064486], [47812164, 5162495], [88688832, 31452540], [95395568, 81209617], [58154466, 94823749], [93816524, 4151115], [10931414, 43415319], [90194580, 7727918], [63892131, 96252185], [51547845, 56646442], [13188452, 19257124], [56230907, 1898497], [91308563, 62076219], [95512270, 33384344], [83264169, 5624101], [12096361, 9243042], [41273543, 69904478], [46161125, 85376555], [56067161, 18992204], [95385850, 72879003], [91182944, 11404702], [63310356, 23345453], [38546989, 69946646], [63025807, 59073973], [49496904, 25435210], [22193793, 2550994], [60360043, 71660103], [87675084, 91424645], [17943050, 10322303], [32648827, 40645804], [20866652, 7003836], [55163799, 12248416], [34292912, 69877860], [65100616, 54481445], [47249895, 8220919], [82322445, 404010], [6000525, 99224929], [59452976, 99138867], [35761726, 26054368], [89344170, 24121623], [6154935, 68399137], [18622305, 71444939], [71404871, 15432157], [65554582, 39497326], [28629336, 19301765], [89750402, 59512102], [13925489, 67089190], [6235969, 27097522], [32316723, 51578945], [60833116, 19535244], [9820563, 80130598], [4861406, 27175673], [77732417, 51264709], [72247921, 11171872], [90654519, 4899493], [64621861, 94023193], [33580982, 78478586], [24238201, 48683642], [94123162, 21257511], [54732645, 53392466], [59045006, 71945550], [1790670, 59050093], [70821350, 30913783], [34878996, 11941323], [63429888, 82173275], [25017065, 94915088], [21127810, 93517176], [43803298, 4146072], [11604350, 97705189], [92043711, 64940401], [79335791, 57210879], [63131972, 89306879], [62179225, 66621687], [80193992, 35400927], [3258801, 35534372], [59326766, 95312571], [26738192, 48921207], [53523599, 7097871], [2417139, 39971871], [541578, 99532861], [94369469, 11320127], [60382929, 18979102], [22571190, 73655417], [72556661, 785909], [13560121, 67350871], [2999899, 94281603], [16613406, 89126602], [40539468, 99175769], [52384022, 46566771], [19424058, 62209977], [78266501, 23387662], [58930990, 68400260], [53142678, 10098357], [8974719, 95504859], [11989306, 12366409], [40895684, 40660843], [60494505, 32546761], [96883153, 35626159], [94484230, 69590373], [5944987, 18425481], [36322547, 37577723], [50296165, 71117732], [18975933, 13183447], [91417151, 39794585], [22289501, 48279076], [4226393, 72300290], [6192632, 42354142], [47376508, 55360952], [83167544, 72800129], [83518113, 36381735], [13039931, 72018074], [11595944, 7842547], [85180465, 49500937], [25443245, 60701382], [7269671, 87700045], [19642941, 97867564], [95951096, 44450939], [93493982, 46491810], [46963614, 34184142], [43078607, 29786167], [33744822, 62353306], [77246573, 1141166], [39122347, 32897058], [93966664, 90834068], [8870648, 472804], [48713158, 25187715], [28853113, 35296508], [17824804, 25316309], [34323019, 77261745], [13995932, 47981783], [70067267, 9381648], [27476848, 68709941], [27902182, 61630083], [50810643, 28885051], [75827660, 47360553], [78104445, 69098777], [48809327, 42052350], [8978568, 9323136], [57994485, 13200451], [54040519, 26411865], [49048605, 51612651], [62354595, 30560744], [459495, 73430431], [52359941, 81453216], [13519494, 27939861], [49921265, 30347163], [1211623, 29308942], [34535590, 82985755], [8414293, 82299275], [70614961, 6819883], [60269142, 71777507], [83492800, 95406144], [76483228, 96726441], [99143180, 32164234], [15645057, 14394377], [95504164, 46641933], [802801, 71336451], [6911702, 25283771], [10527985, 3200806], [49948444, 64742812], [45847417, 44067764], [27596518, 85035911], [32820886, 96759607], [58059939, 84093792], [34706331, 79856205], [84155710, 21295633], [77347583, 23010821], [94999759, 59275224], [14049661, 85298291], [28431603, 42934907], [64171067, 58340249], [13808502, 87525742], [86998390, 31464064], [81452906, 36034548], [42567033, 49730780], [90199206, 73175793], [8297968, 76282837], [7679624, 84778506], [81485815, 46654477], [23691133, 33830653], [74853656, 80548280], [64807006, 46391463], [32958734, 73661474], [65454541, 1141093], [55111832, 80674339], [48018937, 73458874], [36909199, 44518997], [22543219, 51350058], [4516186, 60959713], [91884904, 62279645], [98094913, 15638888], [71364613, 54202822], [2797151, 96667798], [57899261, 91527997], [76061591, 70247266], [65794097, 94308081], [73798368, 79088660], [29484397, 87939269], [1565726, 68962764], [29606165, 64991069], [11709589, 93410996], [14960613, 42049142], [70984736, 95478561], [64069621, 57289000], [91026011, 14021560], [59581702, 61876363], [21171428, 74147629], [56272559, 94053791], [84433159, 12878420], [68055895, 47260465], [47066059, 46148638], [52516723, 74711195], [90458761, 90640333], [62490898, 60898909], [34834549, 54947833], [26204366, 24490908], [48682354, 24762434], [49892545, 52827640], [45603155, 93244870], [64977720, 59694709], [15748167, 29673015], [36810916, 83478835], [85786178, 85287590], [93828054, 24234611], [53343739, 32049270], [73213324, 65727284], [88635855, 46002561], [71447254, 15928427], [83663202, 46563598], [80020175, 43446001], [99341326, 23733231], [43069425, 86057270], [67013291, 23081316], [98554736, 15427858], [65267045, 46745466], [79095710, 46743802], [85770600, 61433974], [88268817, 59085908], [50405397, 20272626], [54262510, 28220813], [49358836, 34686670], [1389491, 89334605], [84451663, 9392418], [38885654, 33445195], [40066511, 42333991], [97650080, 39212926], [52249236, 37250664], [26527393, 30435231], [82961514, 49490812], [77878989, 97350588], [43559362, 96280159], [28046335, 33345812], [89918601, 43945245], [56552163, 74320847], [10505628, 90145826], [39742198, 17167863], [86954392, 1055584], [40003045, 15277432], [11198058, 96161061], [58178627, 94396428], [96811781, 16851836], [97358398, 20188013], [92232877, 64591702], [17272237, 61762481], [7597371, 14734456], [83229731, 68138091], [81508351, 68905746], [13287438, 87973056], [13532616, 86773850], [25426048, 70093263], [86541087, 1697335], [31176407, 37687269], [34585694, 95593741], [83502912, 89503536], [54265011, 58054270], [38195447, 96678437], [18637068, 54888368], [10619560, 84956009], [11696011, 1297893], [71675862, 35298138], [96806209, 59961989], [85666631, 13906207], [80266827, 21964373], [91634677, 45639435], [27595522, 67676756], [23519274, 41844075], [2504886, 1083565], [37709415, 6738211], [12480730, 68920493], [57304328, 12439118], [76997485, 68619449], [20506085, 30694688], [26797228, 6978903], [82378277, 61517293], [55992621, 60257290], [53177750, 68153971], [54463309, 53249015], [48631691, 52948984], [75413957, 53096856], [76107728, 35704984], [75804900, 53254394], [28024754, 50575312], [68522626, 94657476], [67138612, 24160207], [29628942, 79402343], [51016268, 24293843], [90864518, 56633705], [59322249, 69058150], [21421277, 27663150], [5407218, 13880575], [59326636, 31138616], [2036815, 94059957], [39359432, 93159472], [13644040, 39653055], [58249431, 11710395], [47920105, 84809677], [28181617, 74413425], [96664055, 85533419], [21399726, 77883331], [9486006, 53281837], [58140980, 70848911], [50600199, 41550689], [48871377, 47523482], [11136023, 40850389], [98723005, 57468012], [83722653, 91010963], [27951646, 29892410], [96733517, 64207619], [80831849, 85701755], [71490462, 68228665], [78912769, 75265978], [57091954, 76661447], [74082499, 7930581], [76053801, 13596251], [72504536, 26606212], [13063654, 55602103], [86082908, 75554434], [19478425, 21591363], [92154225, 47274719], [13870671, 4617487], [31330377, 51505685], [79856594, 23492899], [7812144, 28334600], [92241247, 97738917], [3776017, 93498291], [58741237, 18964656], [20969045, 73253412], [2217999, 32120106], [45104018, 94899682], [87917263, 1141649], [16824381, 20728267], [70172461, 43001681], [14531023, 20298076], [8623410, 81748876], [75308885, 29249625], [38757923, 23020524], [45070986, 73114980], [67554659, 44181192], [7666545, 23487928], [29152635, 82526479], [96669176, 63052639], [2674974, 27953573], [38095123, 94018832], [88071136, 66880404], [61147964, 51657453], [83358014, 27130585], [73596432, 42969580], [77986830, 36206910], [61376724, 57730549], [2543618, 5126373], [59554300, 67757890], [42755986, 47762689], [11825016, 43571863], [37219610, 49160619], [24908398, 85980854], [39208111, 9584864], [43328904, 33628960], [17904402, 54929277], [55864601, 57532700], [38292236, 55502621], [29297388, 37609399], [56195871, 6394297], [85732131, 46287873], [41541743, 9931458], [7232408, 57077474], [91508260, 10705489], [58626404, 55513725], [82962590, 95129708], [15425560, 70646008], [28042913, 21726860], [31622267, 13116724], [11513162, 36536130], [43789228, 25865930], [95574348, 64943416], [86588656, 63182820], [67587244, 54062099], [94233765, 39532082], [80227032, 77881110], [2372851, 92477461], [88205586, 84499407], [40864434, 3742365], [88686454, 90312783], [67969276, 95456761], [98305, 22061491], [73203186, 12463141], [43743687, 69184681], [15032032, 90212512], [3820036, 90603315], [53580448, 62766788], [69435832, 69102834], [64441445, 51321503], [96374697, 61076021], [85636054, 11104533], [72557570, 13692944], [95109412, 35614747], [23115171, 659119], [44204713, 16947697], [63696836, 17702790], [45878931, 88013978], [94833996, 66306775], [60989217, 32555466], [1605253, 99736706], [42484924, 64485054], [83682251, 1537407], [22203997, 76785110], [44342852, 9993645], [48891809, 96589191], [57842594, 78639525], [61165986, 77027890], [32215021, 95662228], [84716606, 35785554], [64026377, 43485685], [70721474, 73143667], [29729667, 95129167], [41424833, 15040552], [90914799, 53640066], [97931039, 83265053], [65189787, 32257680], [74046496, 90116610], [93998845, 29986673], [38246636, 93251287], [80008852, 24568963], [68023467, 93295908], [83251465, 21727136], [99609407, 6475253], [49000039, 99681015], [96527999, 91584252], [98333390, 71951514], [98321480, 94193876], [34455866, 71078308], [68874848, 87032765], [76123380, 52290323], [44494134, 92073964], [20892940, 23283194], [96705886, 44740107], [88757972, 69809270], [90905881, 32749855], [69550798, 37856303], [54299303, 11146174], [76926967, 43396750], [10606684, 43495903], [6144786, 90193737], [24868917, 11952683], [83952266, 97894844], [99813552, 26673184], [76466764, 9718159], [64476424, 49221531], [85583782, 50414313], [57805540, 67830108], [23332742, 83686178], [23887639, 21028435], [99522410, 97619685], [98313302, 57923574], [5366011, 3475757], [86273302, 94862216], [45379788, 86192271], [35961736, 22781005], [29061850, 50114397], [16845683, 38706293], [39753188, 92553680], [97177341, 69713808], [40615283, 79824542], [28798866, 61017307], [22638310, 80183867], [50487802, 27829719], [99407782, 88035519], [79090049, 62432752], [15357786, 96822315], [16200647, 60173928], [40618512, 32189921], [39064951, 27742091], [72027612, 90598307], [56816454, 87531556], [48227469, 82111001], [4227214, 63041566], [22207203, 30632011], [26022484, 12989196], [37296733, 36175124], [39586134, 86992139], [26891713, 77010793], [45383720, 44872983], [44569373, 26522383], [1537061, 46031754], [42690177, 29822079], [3237870, 28784948], [96581950, 53877880], [56242375, 73716184], [98763440, 75552185], [20179541, 11716414], [5657490, 82392705], [26921846, 93380199], [74341714, 44138561], [61922120, 55483253], [90637283, 20292709], [81634924, 82389060], [58593312, 92011882], [85085654, 36632334], [76142027, 28601579], [9708400, 36911144], [10874483, 77371905], [54750451, 44208217], [16864724, 40242631], [23088298, 87477518], [13083927, 29899542], [2984350, 75840158], [95184401, 70555855], [57182417, 79099261], [51840149, 74496007], [44306929, 30577326], [70746312, 62705006], [23498994, 72006127], [14384663, 5547043], [2698246, 13608681], [38549827, 93980816], [79004974, 57730465], [88494007, 33396694], [64074920, 49357345], [96098503, 44425482], [75985182, 72711184], [26342902, 51634930], [34783987, 36082376], [99879023, 69549425], [93733694, 45669152], [96152966, 20522483], [94738365, 33172168], [5320083, 47224659], [82648067, 9823227], [62686215, 91727504], [73236541, 63331138], [43845452, 93639338], [86275759, 20805856], [48462115, 32021221], [1641784, 4431814], [90672445, 74703290], [86241931, 11297859], [53368351, 12295355], [82473253, 13882901], [60019227, 60801756], [20184317, 46057300], [42209544, 46307752], [37209831, 35261362], [70970063, 33075189], [41960366, 80576942], [79591665, 55758946], [26056886, 21780966], [38248134, 47486048], [91883369, 24797905], [8899054, 85381314], [62672651, 65007689], [25240344, 21400934], [76732837, 78746680], [56700738, 22759704], [83099174, 87733811], [31809107, 29286057], [23010045, 86593542], [95935761, 13487903], [45212423, 30391891], [55619648, 61557863], [92609579, 74392163], [42208728, 97590834], [80930752, 30531567], [48605667, 94733299], [75338030, 93082347], [93888603, 62725233], [31024739, 51495480], [54194244, 88239802], [64633284, 26964701], [8821109, 58122497], [52458734, 35548673], [72864615, 45919217], [15023817, 36651779], [4316269, 60635827], [72364098, 20762156], [76309942, 39792821], [43768265, 57249718], [15402679, 22042720], [46210559, 66189288], [71726407, 14809953], [89288190, 88262185], [86926585, 87682206], [31494632, 82084166], [41500084, 69341570], [7726589, 73119622], [39105279, 9751890], [8210342, 15114700], [32115571, 51786012], [9455500, 45824178], [14580524, 48057219], [7307882, 50542720], [99537614, 15516357], [64337278, 19064257], [63338210, 35610448], [65592426, 18036622], [48812810, 59050803], [36818217, 70865819], [57902800, 88094263], [53780843, 42708674], [18989497, 87455477], [40950143, 43675689], [5050102, 77186509], [19068845, 83629065], [49532923, 64915850], [4910796, 54080994], [75783436, 93083883], [66013707, 91019107], [78005738, 18160712], [81047627, 93390438], [69595067, 62629896], [52697044, 15424877], [74656702, 64869289], [42749993, 54666953], [65632917, 27016435], [17152306, 61925696], [72982422, 91643403], [76976275, 15199755], [25656350, 28330594], [54798031, 64820600], [37309249, 34028575], [65921523, 90192319], [34600573, 55246988], [9209675, 71994622], [37815743, 20045831], [78275278, 8261151], [42496688, 80081209], [5039101, 15613123], [42187618, 47682726], [13784131, 96438921], [38213236, 951995], [74951736, 35809282], [31852807, 49123034], [37764348, 93184027], [80263179, 68846559], [39424776, 1793678], [30059112, 17737120], [22047689, 38555959], [63498783, 325982], [60866338, 7374125], [2186319, 38436391], [27564817, 89683400], [17461221, 98647582], [4538486, 57707487], [26648434, 34410762], [26407742, 25761237], [42418941, 14375900], [89986177, 83665666], [1726174, 56938090], [82207328, 2657418], [14392673, 93297330], [63600606, 58263504], [238428, 93645527], [56483328, 82006990], [67989942, 15649814], [4880036, 82860759], [84548378, 83778951], [97971556, 90805452], [27839287, 90087477], [37027518, 87476638], [86763987, 33681603], [67888865, 73016672], [69868355, 79961916], [45169226, 83045020], [93055941, 74694330], [54704853, 95185832], [42442237, 99082057], [69676951, 62276426], [53596568, 56978460], [6229225, 53175409], [48109027, 61010301], [84435433, 78055486], [68081188, 37784604], [57525337, 24531331], [27393793, 54645445], [69984398, 79567240], [45400014, 37254650], [29402616, 72182155], [68294882, 2382624], [20225620, 6283097], [51300531, 79650808], [97622440, 11664219], [30634499, 81625542], [60271403, 98525035], [66761528, 90295489], [55636309, 83950763], [83267528, 96922211], [83847571, 49924639], [36270693, 28857299], [97707959, 93455063], [13824430, 46701661], [73204714, 55680555], [84221362, 84646461], [8483479, 19992342], [74847029, 93902835], [51931974, 39478919], [97231184, 98011900], [91120785, 44954432], [12405636, 34052249], [76919856, 45816369], [25570182, 40298979], [48889222, 1408246], [58753268, 42247101], [95277350, 90456374], [48183152, 38442267], [47965228, 51828219], [13200070, 96525133], [52689197, 15063971], [98846286, 71173347], [71358065, 78004819], [19270148, 92665948], [17825819, 84056144], [95284723, 59261273], [75145599, 16787271], [72087509, 38059549], [32667736, 36452968], [41004294, 56096177], [24064503, 29870490], [13196005, 35319237], [3213414, 72589990], [42708246, 26692312], [56085425, 2323768], [66189222, 49447612], [21390382, 70254748], [24918109, 18719028], [46991011, 42009653], [41678363, 35912489], [56239021, 82057339], [21292815, 99048131], [96110320, 28957649], [258516, 59110394], [7341154, 68867470], [97076859, 41323469], [77697928, 28623919], [97357182, 82123128], [59597760, 18835805], [85919340, 35528053], [79668048, 37271728], [819266, 38462788], [34278003, 86596115], [56683526, 15094239], [80838602, 72725884], [21802333, 23850903], [24927276, 55887202], [8100458, 75494980], [180752, 90751510], [42186927, 52526607], [39676812, 70861438], [35876859, 78444594], [18564595, 89642286], [45742319, 13850611], [61355442, 8498626], [97156493, 177118], [6079116, 34725892], [54519143, 90269124], [58703435, 72996635], [5266723, 65785842], [17302659, 51566897], [47510722, 11211110], [65931705, 87225324], [1830603, 97029127], [34840086, 21638967], [88451049, 74141140], [51506615, 1887928], [70174791, 65962442], [6352037, 75988772], [83861224, 67055170], [17388228, 81828580], [3498894, 56253278], [99807315, 99121867], [59294877, 16870369], [98505079, 50283080], [11202438, 8679567], [56489779, 90836339], [16063883, 54022740], [57764119, 63748544], [60190273, 30583349], [91822397, 96629889], [757113, 74842359], [18092038, 35970815], [86387357, 6900638], [31798282, 98339133], [47677092, 19799046], [27126862, 16893691], [65495784, 68394471], [32585165, 23529355], [85675440, 33282564], [35903407, 74110487], [9660759, 68179827], [29002183, 91129692], [79808726, 42067469], [64600388, 13915697], [42669223, 8220654], [21857781, 77913667], [75363685, 70615302], [28880255, 56915808], [20495093, 18357418], [38789499, 61461375], [41147913, 12126746], [46485320, 14786178], [62114302, 92430163], [45083690, 95842534], [63346444, 65510535], [73589055, 54925240], [87155181, 66716106], [18029287, 54246643], [16038436, 72621786], [95665945, 60910326], [25354452, 98872682], [42246434, 6466044], [83861926, 73726737], [91786116, 37370273], [95846498, 75957690], [55689474, 78417244], [24136117, 38181562], [98881998, 74819158], [90269044, 66443454], [12697817, 49385863], [27640831, 74064760], [34496831, 83912438], [94557932, 40178570], [15478288, 27966846], [19340445, 70692019], [10703119, 61459530], [93103460, 35863932], [91838662, 83754232], [73697929, 18250723], [81015550, 26710211], [20829139, 73272215], [26090648, 60723434], [38426142, 41487928], [42271254, 72067591], [94166276, 18958770], [59164935, 76162942], [2775529, 7924584], [28079, 25919596], [5186106, 17951492], [28778314, 47095772], [51998185, 30053075], [68636382, 93650790], [89193331, 49994038], [23716074, 10603350], [91225299, 94217930], [27076656, 86092466], [52029031, 94549624], [78692402, 98838699], [2008465, 18067319], [99397158, 44454609], [60819619, 52390742], [45856803, 3262426], [24678048, 81127799], [98508842, 92262155], [59535430, 50934051], [72153340, 24292730], [50157941, 19408748], [98314891, 5760871], [41712905, 976136], [993751, 1805660], [79259590, 59864958], [46851151, 98979626], [26772923, 75469145], [75307055, 40106799], [91330885, 36587051], [67386032, 81952222], [22831302, 42213713], [21947222, 60458014], [79273240, 85333695], [31165926, 18099181], [4384238, 30123088], [74657960, 43876019], [6943088, 26199128], [46799975, 55492283], [98777330, 59303588], [35572053, 95344000], [67667849, 45929759], [19245408, 98086910], [37087802, 4907070], [57411511, 7464724], [28592342, 74452674], [66547886, 81423], [20270580, 66031738], [98161543, 32434784], [59740902, 54359920], [13342358, 33146035], [74419051, 31921726], [29927537, 87733554], [8237230, 3319749], [2788281, 35434416], [86335503, 42548630], [6131402, 40537256], [75143177, 45455253], [68271859, 13486798], [34888957, 58860863], [22117513, 734206], [51591190, 15376129], [69326809, 33439334], [65768638, 78839776], [93088425, 11326873], [12643157, 12471568], [9207835, 66217806], [60660746, 14416550], [72014048, 95752091], [9151939, 457866], [24207518, 92946629], [45385656, 84040164], [70039152, 71697172], [86073720, 17086402], [18401827, 99325101], [5138354, 72180790], [15734882, 67815331], [50453126, 18779728], [40346175, 39987557], [59118326, 3210827], [3407920, 64552759], [32853454, 84332605], [52702841, 75007013], [76197208, 38419885], [65327346, 20554993], [19061009, 24872657], [96038140, 84425791], [44019955, 8993646], [29976279, 19017427], [17885203, 25158256], [54257845, 60189473], [7079012, 98983644], [6429959, 38902181], [80808055, 5132257], [7663410, 18443077], [6773199, 28928915], [94452053, 88083682], [18453074, 7721496], [38489424, 69951664], [9829820, 84706179], [11018741, 53576063], [80477005, 10429009], [55683937, 92472174], [97106159, 1284470], [20331417, 39480238], [30646975, 87681889], [43200950, 89940907], [141470, 524049], [79276429, 95224855], [8930798, 75254289], [4049011, 12477887], [69947547, 86456592], [9129228, 56591959], [42165497, 89413029], [55045845, 6140773], [68103798, 10557843], [81002354, 36491860], [78187829, 22583475], [21851402, 27611292], [24976844, 69782888], [25378537, 97437772], [70303467, 58284254], [28323596, 2762656], [72663574, 67760281], [94535558, 80259349], [21252783, 44047160], [22307065, 61121532], [97483977, 25745902], [13445480, 15854650], [585263, 99016706], [38762608, 62909892], [4027243, 80804124], [96826256, 17607172], [48171571, 27937703], [91182944, 31781330], [17780060, 49494284], [22500065, 60383963], [42326601, 18945679], [53998891, 86867494], [20849276, 14259189], [7353350, 94034862], [77647736, 8077627], [4762330, 28258651], [72037365, 47776244], [77546292, 64351438], [35151315, 92260370], [12956218, 1274126], [68870848, 28575764], [11963926, 33062809], [72222065, 23726799], [2299510, 81181373], [94911540, 16583947], [92222592, 41479033], [80994925, 41553341], [82284725, 49623819], [49370739, 30328523], [68577876, 57141146], [18830219, 14559594], [77102560, 44867836], [68887966, 51980548], [45097478, 10445821], [65903832, 76475379], [37926308, 34789103], [81107080, 8369402], [45913388, 53844515], [93379931, 90131636], [55502015, 480955], [76767561, 9442676], [68044327, 58671296], [4705291, 2125968], [5961170, 68451354], [69297285, 39409410], [56210581, 97011938], [91111222, 51563482], [9799856, 1464723], [20878473, 95098135], [5376471, 95720152], [28368687, 4461414], [80226822, 93842780], [81559281, 49764287], [88163745, 67138617], [13720460, 76103953], [67252328, 56695805], [71415754, 13989854], [84254338, 24900210], [39880380, 51109085], [25320011, 60479075], [59822868, 72661681], [37861740, 38748073], [54388991, 44008549], [81004984, 82077107], [71784889, 14641872], [85331583, 42684370], [26947363, 15858650], [34842154, 54126526], [18866152, 71375333], [45787033, 27466446], [69980433, 67744133], [24422632, 41727472], [81395813, 579600], [88224192, 39542663], [39656376, 21625390], [98560984, 20014198], [45682093, 14898949], [44891550, 59861767], [47003696, 51222199], [40768777, 92748964], [55152222, 93281367], [89680348, 60744333], [876461, 86157264], [34340817, 69411864], [48887399, 46233512], [99808118, 10830713], [34300779, 9747046], [98507136, 68183455], [19004273, 11948501], [3805867, 53477696], [62872541, 50546283], [45282757, 59390265], [96329618, 26474152], [38478786, 35024412], [17206097, 59409312], [11633931, 13553596], [54996992, 31146884], [80207403, 80328176], [15965196, 80272412], [3347343, 39517343], [37599838, 44540425], [53916185, 11510017], [98621165, 35985058], [50939914, 44881053], [13539442, 57620261], [92949441, 60295939], [65101362, 62786467], [27900830, 45355616], [65896792, 2613547], [40835650, 75360140], [68320475, 73275899], [68766580, 84773828], [84978791, 82014823], [2981586, 10117397], [53519680, 56517088], [90321779, 19266256], [11773786, 22142020], [97854696, 46645554], [75700112, 93594552], [44888038, 4893084], [31432343, 19183453], [25973154, 95667864], [44625461, 19490189], [71501830, 59289307], [28617371, 86889386], [32795853, 3163408], [17350660, 9537159], [55277846, 62456694], [99786039, 80437919], [52866756, 73768980], [57642282, 32173747], [43957713, 8135144], [90864177, 70096291], [42751769, 75278437], [61074310, 52576484], [59058914, 53312812], [65800446, 37393524], [18812679, 53337910], [88086445, 63841448], [69283088, 95134353], [81566195, 32234131], [40829117, 47698296], [326747, 20277117], [33287352, 83451775], [21532715, 58969950], [93758199, 20765284], [76778357, 90848651], [95653395, 69933948], [8103958, 94094775], [15212453, 64827684], [13162613, 88945636], [49231798, 79039382], [59027543, 19824648], [92305743, 52084732], [8015386, 94758594], [82703997, 44474978], [38743535, 15638641], [37460823, 39610573], [66275017, 26408188], [94140277, 12423815], [9784787, 81146786], [49698967, 21414020], [97498314, 57080156], [3916250, 86130569], [62274455, 7163275], [81712347, 60982655], [95868547, 13176128], [61817086, 79631427], [65707000, 47681740], [59493216, 63144412], [49171585, 93517684], [46293545, 75005640], [26403459, 51189958], [45308819, 9429497], [99419205, 31063442], [68582667, 63931013], [28658419, 39482926], [1067421, 97283679], [15802718, 33116637], [93932950, 96298084], [77103549, 5619264], [67555315, 57117219], [81851696, 30638966], [66756793, 28076418], [38322779, 63798046], [93097598, 30881948], [57555485, 2586768], [76345514, 67492938], [11818724, 80903685], [33316577, 52695981], [6974572, 21733786], [20029694, 23215393], [13325879, 12135483], [47475586, 19449676], [92283546, 55075504], [47207152, 38458515], [65349390, 26811799], [82902694, 39843683], [32717398, 54984030], [82610926, 23690060], [86709170, 60650594], [64549351, 46772784], [53168085, 49669439], [17069035, 7736328], [2095736, 88660610], [6822784, 78740060], [67775998, 82593694], [82594718, 55775874], [73502556, 71568612], [19164388, 29162482], [99947742, 88260284], [92983980, 11944011], [42241593, 16767235], [77325684, 76861979], [92197162, 24391186], [33683470, 80741951], [88170876, 75484214], [88982351, 9417439], [22962713, 95723259], [19424000, 11338136], [14911470, 45025488], [68691906, 51079234], [32351700, 50939657], [39921572, 56874944], [90625450, 69466958], [34855538, 26528961], [20051859, 69760991], [90467114, 74931799], [5006646, 99890956], [50378292, 30184653], [75691557, 49553893], [32119661, 24052939], [81877148, 48289609], [43912219, 31450221], [90052879, 68543205], [88580704, 85841087], [58222434, 27551398], [36834913, 73832011], [15397013, 21987254], [38032821, 96091661], [32428958, 84417537], [74546118, 2687038], [7639562, 37120479], [25123844, 4572208], [28745879, 8510926], [26895270, 10833689], [4060150, 27654907], [83124455, 10092818], [64573949, 60674207], [50977871, 64935098], [48084840, 60707510], [34294753, 51726627], [11472659, 58157947], [37558284, 99620387], [13587363, 93634442], [60422421, 74894140], [88209403, 44319749], [68426185, 84726581], [15770015, 78619577], [87232113, 9722508], [49061379, 29130637], [82323414, 4536654], [1448014, 37640286], [59180393, 46441382], [64637071, 65935005], [58903221, 74289857], [11340695, 32564903], [66005503, 52307733], [63228453, 49545139], [66348770, 81189162], [1740651, 28941737], [73781719, 30539184], [63998085, 63845600], [59006139, 89521155], [5181894, 60589764], [1293054, 47986557], [48652510, 5182246], [13303177, 25051788], [44960006, 51417904], [2826173, 90166023], [52676491, 93593887], [32260327, 59708500], [76260593, 306241], [40358832, 91876737], [23481695, 70880206], [27764636, 3080154], [15488507, 1643723], [81339702, 7415239], [23317705, 65355605], [10143844, 64739451], [43358964, 76520004], [74934757, 38869398], [74689167, 51399550], [92980899, 21459814], [415044, 29484420], [57467403, 62002100], [92545815, 16591995], [28735988, 98145433], [89286288, 77686986], [20943405, 81313254], [18391423, 13794909], [17934157, 42135353], [75377869, 58614979], [21695473, 45190385], [19273698, 14810360], [58711676, 10369572], [18787552, 6964602], [61604916, 22640605], [26713765, 14216401], [64866442, 33199253], [46650652, 34329295], [35319618, 19727634], [66096588, 89698192], [20554680, 53621850], [98366722, 55113680], [91977203, 3729180], [91266851, 55423402], [18619289, 5271407], [47622885, 76438885], [99333804, 31599934], [85373423, 16507385], [68457668, 17035117], [34799529, 12214126], [92348065, 20001424], [47611081, 91848174], [56431488, 78819718], [90252105, 84253938], [60330305, 14342153], [94806281, 59268050], [52048835, 92296359], [73655815, 50411824], [32759710, 15350008], [98324853, 29967321], [33592049, 48105853], [70988657, 49623216], [72494312, 66713057], [39502958, 59494369], [27874641, 61589605], [84887024, 80187482], [43055675, 86515721], [832443, 23591962], [75636305, 19109614], [93680323, 26300550], [85637515, 60337893], [62787843, 6099171], [5941953, 58346887], [93626612, 11592994], [97334592, 1640787], [51244140, 46805670], [27602667, 56403063], [80072351, 49232860], [31116028, 65478541], [67031058, 26726850], [63145056, 46428301], [93556297, 77138856], [10595635, 12860177], [23858924, 87434074], [50154551, 80694765], [40488634, 88848252], [91765749, 44510061], [86803008, 66523286], [41514366, 41912983], [16771729, 15799734], [78749073, 10419020], [54806631, 24737567], [75849980, 82430413], [26677567, 77291878], [48688066, 72335094], [90619127, 863071], [81245640, 41360369], [72301247, 28611533], [99929085, 61511258], [47557322, 22862519], [30656583, 94719361], [81059900, 81840518], [38841576, 5705239], [76987009, 87828859], [25705435, 31284808], [80633989, 19127127], [57873832, 25432480], [44193647, 59444963], [27193483, 74786082], [56783749, 66822801], [32055467, 91197518], [69613293, 80679009], [35171532, 87063901], [64056689, 25194342], [22813857, 66918060], [75980046, 88496124], [1081161, 15323031], [35739441, 13553236], [37856448, 45438332], [96286269, 25974668], [23995859, 39132403], [23604299, 64099125], [88689535, 48240486], [23662905, 65436318], [77371036, 16902143], [88452252, 59647974], [54053546, 58075041], [57018753, 85710963], [51515079, 67826937], [80951868, 19616325], [226978, 95279493], [65536634, 78648032], [74449920, 54879261], [14884178, 15376065], [11660266, 54965644], [1530837, 98536453], [83013631, 15015297], [25942379, 29021453], [13580164, 34379515], [80832165, 38305720], [1323215, 81953447], [86241606, 5540687], [51081445, 89862133], [5460992, 79326187], [30029316, 50161826], [19178093, 24083857], [61090881, 17055727], [87918803, 19868337], [5781147, 51624494], [84858134, 89198919], [12534607, 12209061], [95046511, 24430508], [34184135, 26112517], [15819897, 74059739], [44862523, 87725082], [81581325, 57290968], [12504076, 45676075], [16890641, 65735624], [7792170, 18916627], [66526015, 77324510], [19908947, 31343693], [8686294, 1508262], [57715979, 979689], [3981791, 80086204], [62313423, 46559653], [9916124, 59454025], [17417793, 12485725], [94925933, 81361933], [51953403, 14537745], [9335660, 87319458], [73920976, 13494410], [56777307, 27636927], [48104094, 19301316], [1797044, 88343291], [677326, 3161789], [65852345, 6123914], [44675226, 3390296], [84556053, 9901953], [95343173, 69973236], [5096414, 65375550], [63836282, 88566946], [58974144, 94178414], [75599061, 68608320], [88465902, 12617834], [72942936, 64530439], [38848059, 82216234], [39272317, 91228412], [59483328, 51872213], [88370218, 3425874], [46940983, 52274285], [80671481, 73654196], [41751468, 4290783], [59247815, 86484360], [32155818, 92117513], [73286015, 11958767], [17165596, 2368030], [32567786, 87542522], [78687819, 46605008], [4791054, 64598827], [53619901, 73248037], [85686210, 80713146], [51510950, 11900984], [37094493, 89480620], [92267690, 94591029], [13621112, 71553988], [50757837, 61310898], [76583669, 638294], [72261879, 77280138], [95620800, 87386779], [30961262, 99211957], [25709482, 91055029], [29139186, 876783], [95784701, 33506707], [94981532, 33996593], [79103229, 61140185], [91233506, 7535580], [98559542, 90422129], [45904285, 25175653], [73610481, 72326420], [51749642, 46518001], [9307406, 556614], [9451057, 12925100], [67305626, 72656309], [44087590, 55477069], [28923360, 17055204], [75420667, 90842562], [35742714, 37507858], [65292907, 72084427], [16316811, 18347348], [26572614, 9631304], [88021756, 17809516], [51602379, 68211487], [93540625, 11872357], [68836768, 59496303], [32442038, 64949856], [38200207, 46530589], [71214639, 59682177], [40331759, 5221944], [19809597, 60337922], [60432588, 90478250], [222065, 76916973], [1068619, 82460096], [79521235, 48257615], [61302837, 22177339], [12743637, 44858423], [12471742, 38800346], [15611375, 96415439], [94462249, 29745840], [15330588, 63210540], [47580630, 37377274], [64499454, 53953020], [75660234, 75168913], [84023644, 50237417], [35519978, 3450196], [9800665, 31390982], [10549455, 22137380], [86430604, 28561502], [51764283, 55264236], [57974286, 98766726], [34940850, 67142864], [22469437, 13378664], [21171602, 20827006], [33746173, 41321134], [4934677, 54174], [63351394, 94106632], [59862450, 65507690], [47039264, 83416637], [56568001, 73918487], [15851095, 25421077], [21179953, 4421966], [35325548, 1979610], [30867477, 84961864], [60559086, 97221572], [442854, 62631007], [64540799, 41395247], [55837392, 29433977], [80831071, 66404359], [69108577, 33544040], [4535462, 16827423], [36108067, 67471172], [10975857, 47237114], [41683953, 1896279], [74017152, 82660708], [4994535, 56979535], [59348974, 81825036], [16004594, 63903094], [63091475, 11623765], [92275933, 31004831], [24774963, 96183513], [96283962, 16089959], [85150944, 7313719], [372125, 30679430], [41237944, 51015966], [86453855, 11986089], [4103212, 87517193], [66470520, 65504730], [18889640, 56610368], [82002489, 33158247], [93522301, 61975073], [7697211, 88844317], [56197861, 50593253], [66562563, 78888791], [50904968, 16471904], [67324571, 95497196], [30622240, 31330385], [72289385, 39560475], [76075041, 44039560], [35944574, 69114270], [76609160, 28755775], [26224373, 45437688], [6771880, 89845899], [51464812, 45195507], [91542449, 24434880], [56047855, 18032315], [96945658, 45483960], [56484960, 76007335], [9642281, 79596052], [31421065, 68936912], [78996908, 20649754], [56091031, 28860189], [14902669, 61847821], [26602503, 22716499], [86246931, 83620403], [78305406, 51623834], [5336775, 76955588], [86464177, 3301265], [55206925, 14498208], [36675472, 58312515], [17232628, 91725717], [1488317, 37903344], [97834613, 53727870], [45302837, 10832256], [58375895, 49974381], [34105532, 43020319], [84674884, 41133179], [32947890, 25262991], [53260646, 1911708], [5534513, 76754624], [69486877, 95449233], [48581178, 74480211], [42671927, 31662871], [3928617, 97465157], [50192630, 62344862], [80228502, 42255288], [78154008, 84837403], [39955608, 38283471], [97649494, 63951525], [54138888, 16479000], [73474777, 93421406], [75929480, 10295181], [24288845, 80579062], [19841349, 87605435], [81362103, 23031785], [62279595, 74313110], [65919962, 77957015], [15921842, 1853692], [81146399, 74366314], [70949660, 34753541], [19655956, 59617969], [54445177, 51626803], [58330917, 26367342], [86541137, 17377368], [98306578, 31117591], [69019037, 77055002], [19675007, 11473501], [57536851, 97229908], [42653679, 59859613], [89990505, 41006180], [51164006, 61133795], [48801852, 91410241], [64078085, 51957168], [39346397, 53167565], [28950558, 87137791], [32277192, 92254275], [4774787, 1757131], [96171225, 15026369], [80520066, 32222154], [14589106, 46365568], [81826260, 21394900], [4699116, 77930884], [47787272, 61397771], [4515241, 59198381], [86254242, 5159845], [80022782, 87938315], [98338598, 22132857], [76922546, 45218316], [78740071, 51719607], [78113308, 38540676], [62444955, 81616444], [12747899, 71796492], [16121238, 24427032], [83334553, 47550158], [15150652, 83048830], [42553306, 761573], [42461604, 80960128], [71085921, 52886099], [92993518, 71391549], [55833051, 4869765], [19636729, 31906063], [2442347, 8788807], [52765051, 44839106], [51091395, 9247205], [98148542, 22541888], [94631353, 66553477], [22555113, 81524930], [55954306, 64083689], [24074295, 68775596], [96264295, 99371732], [28772824, 95752965], [70484118, 48094268], [95576880, 75221298], [79963123, 80867915], [97540636, 33263290], [19208453, 2704172], [68544508, 77617642], [49214894, 66215273], [51513462, 29757290], [95184291, 28299116], [65972437, 3710512], [27010588, 24954280], [53872843, 97676359], [16177205, 87153980], [12843761, 37677938], [46442163, 51729753], [56408526, 98548683], [38725302, 74814117], [45694156, 29215388], [32091970, 61595457], [82904489, 69761700], [17687532, 75558361], [36605975, 1579844], [96758114, 70703571], [27755998, 60182720], [95186605, 97482863], [76760747, 3570356], [90490538, 18780175], [64136678, 93821213], [12975390, 79822093], [55985616, 59172016], [66818858, 92144314], [30917443, 53954067], [51200808, 33107211], [54273517, 28696273], [79441756, 28822250], [92197153, 6051866], [96539397, 17661570], [97197574, 82332644], [27389790, 28005555], [79060287, 93416823], [14567597, 7278122], [10739969, 52754560], [6826719, 76068781], [42904682, 68156111], [79450824, 2188059], [8946023, 11042206], [85677702, 70890867], [21555888, 57564935], [32054407, 69173361], [73933937, 70013824], [29816525, 46462096], [84349158, 26550467], [2962046, 38540280], [8880016, 37617226], [27115316, 42395581], [21128784, 54663543], [49625091, 66792947], [15476923, 15483461], [92865018, 57943804], [77096894, 29596149], [34537041, 9685914], [11926522, 29644347], [51581005, 73508779], [9293864, 52370351], [86071264, 81164144], [64069869, 30000998], [707259, 52731870], [64577119, 51069], [21881856, 56620641], [26743038, 28172509], [36682154, 95638962], [97185806, 44557340], [15637936, 995349], [97261032, 81476551], [20913213, 92060193], [75661850, 45152091], [90848956, 56950489], [49045802, 12240428], [68207608, 71356717], [40471883, 88839434], [73885538, 77588112], [41205512, 15175477], [57945942, 3471582], [64622125, 54037769], [34179081, 1099810], [89826663, 81836770], [67072042, 89575891], [98905002, 67404927], [74288220, 42799655], [62075978, 28355216], [81815347, 50860234], [1317302, 44001684], [84893244, 75085006], [10019713, 88758034], [8842618, 46234488], [78784371, 94711219], [34033146, 99223682], [62178710, 84804942], [26759103, 76511865], [10397105, 83437883], [37935625, 86363855], [44571166, 45370206], [77172565, 99307719], [45325696, 67681523], [55376542, 70926622], [97663862, 28331539], [78445336, 95055431], [43638829, 66338041], [34960445, 36841196], [52930272, 45181642], [71114838, 92169335], [14370804, 16662455], [23218076, 85976561], [94326560, 12924176], [57595090, 69184594], [37012829, 58808927], [623822, 39818901], [22341533, 79366105], [75251137, 95607236], [24744507, 58660939], [80524146, 69593272], [77404377, 51080842], [17922166, 24772785], [98950535, 75277974], [49678281, 25459644], [62486281, 69526109], [38013173, 93540120], [98739327, 22074013], [52850930, 2071926], [98054871, 52565121], [69376045, 41157293], [53148564, 74247616], [99720799, 786282], [46912940, 28493936], [91012716, 1099486], [68574395, 74256418], [14473566, 96901548], [75419390, 12935785], [52779459, 53519939], [47761812, 44055257], [73494896, 57801224], [62427319, 75143431], [20950025, 1579685], [57907404, 10431040], [64672473, 87472356], [94763703, 71524499], [31175300, 91830085], [36290062, 57434997], [93410775, 8249456], [35285172, 53185150], [92508327, 10235829], [77631895, 94116209], [74544130, 13567573], [89911997, 95506472], [58733444, 80969125], [24275782, 61393037], [17662215, 9264627], [39440686, 85925405], [39620773, 62698596], [35569926, 27789031], [91236691, 22337184], [85928685, 36425122], [28570880, 42789258], [47391299, 21353820], [24008909, 38474917], [77465078, 81383187], [96780763, 17588100], [90950650, 289951], [48784158, 36836171], [1930578, 60151894], [52904707, 4918398], [18527760, 94578087], [57962372, 98884128], [95985788, 25153684], [33906538, 18704550], [96567553, 64774050], [36034962, 16438806], [77009628, 89469095], [78375117, 68692725], [3229382, 42781474], [40389847, 55398938], [20649371, 89418176], [6051450, 65388143], [13258578, 19386808], [63137230, 30774891], [72161118, 51440296], [87346800, 9553210], [52399833, 70890567], [75219806, 21526935], [93423094, 41564921], [76524632, 50579386], [66372420, 92335804], [63840461, 96082666], [99168143, 33726328], [97350563, 28671050], [39616221, 2775869], [53329989, 71029877], [26804645, 53858555], [18035426, 73100182], [60004552, 27472999], [90865304, 7263975], [37538980, 98484956], [33520449, 10689176], [59275710, 49316535], [81843507, 63471263], [97513472, 34634154], [23141683, 7726463], [71566921, 23170053], [27580573, 65252485], [86569919, 66039164], [66486125, 2963270], [27953951, 95282761], [82988498, 72360438], [83261323, 26208660], [17744048, 43890935], [95798273, 36164760], [76620092, 38820820], [23503302, 74795367], [4347080, 53936314], [91418005, 86821683], [10333867, 19960606], [38569611, 39555601], [90242832, 31511202], [67807275, 91179154], [67911261, 31133138], [13329619, 44592063], [44696648, 63432542], [27454951, 65067907], [4722598, 61188596], [61591534, 61748244], [35061722, 66366116], [31954718, 86865019], [57149757, 78739188], [11165052, 91707303], [29525417, 31694495], [23660132, 81092737], [28861395, 40668101], [93536714, 65734466], [88724701, 31226086], [41620944, 62706944], [32098558, 72639925], [65993679, 37151046], [15120897, 8192314], [76738466, 95227597], [71742646, 57405937], [89675226, 63584973], [10966567, 83314130], [60472070, 16222140], [48968447, 15461149], [13841594, 55611502], [58140224, 75106974], [62358273, 39742390], [25091305, 36672389], [4223600, 47701313], [65631731, 82625336], [80348163, 87100025], [86841889, 36697016], [40559022, 44717325], [21399821, 99950315], [37079967, 51090978], [43060159, 7009710], [46005045, 63706890], [80910519, 3290813], [4361234, 99816744], [25996183, 13994629], [14827141, 67742416], [48060092, 64881641], [96336240, 73465546], [71506061, 95960671], [57396108, 66966617], [76259497, 21401280], [96251468, 62637755], [54437685, 66810275], [92790886, 19138576], [29028186, 82774454], [6799906, 35285111], [14502274, 14245306], [85104954, 94489106], [32544354, 33269911], [84169494, 82996842], [3285580, 88580050], [55137875, 37846582], [77819686, 49109271], [33722633, 91989625], [37533689, 94378452], [66144557, 92923336], [31698694, 62706499], [69639823, 91109827], [41298467, 9056552], [90532128, 79651171], [34070690, 89836255], [28974828, 87993058], [39193907, 67661290], [41510739, 29394168], [17672387, 18028162], [39255636, 89021045], [69785995, 77790915], [70002732, 17994859], [27449649, 97349133], [38970298, 94729406], [20533251, 52849673], [90529325, 57023226], [84745624, 29889281], [86565425, 22961262], [33818603, 78280967], [54821596, 4237881], [72379844, 18446938], [10864538, 26835452], [59595690, 73677648], [3137259, 81193069], [48913531, 4835806], [76974129, 35738786], [34987700, 13110474], [87156139, 27609029], [36211896, 12419920], [4617629, 28560656], [19382353, 38067832], [51834296, 80219910], [18710364, 10837962], [6868459, 18886854], [34671633, 62705579], [96729752, 9399257], [27492278, 32647982], [22731840, 23034137], [62119688, 26401511], [10731389, 64000982], [59965681, 55520673], [13021067, 69081243], [56362747, 8179168], [94234004, 38578883], [96716149, 5236804], [9645219, 81884593], [32324568, 15440793], [40263672, 77475439], [53906110, 67680227], [21138647, 46788554], [7519114, 57106273], [60258276, 53538726], [50910292, 54210099], [27451021, 66686977], [68394988, 65994776], [62268171, 13429326], [12900056, 92574416], [68555345, 47332422], [73629420, 52219185], [1158517, 56272828], [54939010, 21863729], [50797637, 34248784], [40250659, 606381], [59691230, 98357210], [54357949, 18304351], [30802593, 91054219], [24049364, 26360122], [61099089, 94382533], [89531120, 4275756], [26521945, 30114600], [7420779, 1789361], [9770356, 50084111], [11078896, 89050770], [36149572, 71988051], [10598798, 41380633], [59503703, 43836253], [83015598, 58590761], [48904272, 96088197], [78636737, 56087182], [42205398, 83351661], [14119119, 22815157], [55997520, 7996595], [51023909, 84390208], [21249338, 50966298], [7437151, 92106709], [31378100, 2431563], [39277136, 77279426], [58747015, 19619158], [97819767, 30451390], [51195719, 50717522], [78604421, 63453475], [14582171, 64656915], [46390777, 10483486], [60693156, 78871453], [94179248, 41544878], [39710937, 21813279], [5044299, 11776008], [74544345, 51167001], [79866499, 35060643], [92881798, 46739247], [47962487, 89385914], [98207228, 52335245], [82565120, 19264538], [51465221, 56343281], [51345671, 57799874], [45102702, 7954297], [80102787, 76235844], [86580946, 67308994], [23688636, 46441985], [3997046, 50200241], [98561731, 27255107], [10826657, 58981923], [13417252, 14925164], [83415765, 70213835], [200301, 73485319], [41526873, 46708299], [26433932, 90543445], [48239706, 90085268], [42352474, 74534640], [3611499, 41649809], [6447047, 48911639], [67835071, 99398505], [85737286, 24628942], [39710050, 94276010], [44250826, 43408318], [191375, 12198155], [11155082, 90017203], [77805479, 66583265], [41759582, 98111612], [28659463, 99605133], [75776016, 9795238], [96591920, 35581665], [25103963, 71982001], [60239453, 66918086], [81652267, 19834207], [84368594, 89177087], [86786007, 57911144], [14938425, 53353818], [99358841, 22705025], [97935235, 95772720], [34794005, 74096710], [97739669, 71506807], [2917922, 50570033], [91159228, 75284112], [19760912, 42541128], [80896548, 95814671], [27657558, 6233486], [10828189, 35606242], [12314145, 46531326], [57882574, 31198460], [70080185, 24083857], [66015991, 51977508], [3469486, 91817133], [86026419, 76688707], [14512181, 2070456], [95165123, 25390839], [85554958, 11627518], [6722342, 81423699], [84241142, 49308367], [57177915, 47990634], [30595810, 37723523], [48750338, 90072554], [41190832, 70307852], [89145765, 84331154], [14718732, 2411659], [71799862, 42724112], [67864143, 18469861], [20449340, 37016425], [16600438, 78559997], [29586399, 462308], [57533436, 4764410], [13226856, 26130373], [89165064, 3785904], [40639794, 61066577], [46143370, 75245267], [70710094, 45803027], [67189928, 62819891], [57940383, 45884180], [33184935, 76677432], [94855672, 96920633], [22292100, 6970464], [27260057, 59543089], [31745930, 32356222], [38276457, 8191284], [60392666, 97731039], [81078749, 56754939], [79223323, 11943370], [20562671, 35900418], [33201164, 1658191], [26834676, 97084661], [54007141, 63189417], [89750841, 5904455], [97252595, 60924022], [13747017, 50768422], [3160598, 12122473], [82628466, 32510176], [72569594, 3267746], [92135949, 37328226], [42275676, 52102479], [38989944, 36256459], [73773425, 29212631], [14156831, 52362619], [98350307, 93731110], [97736265, 37114377], [51364340, 21795428], [82449348, 18859308], [26511108, 80204249], [11499381, 17117829], [43800541, 21006748], [46288702, 47435673], [42005462, 57720197], [63970922, 6060546], [85495239, 90290974], [85299567, 28152919], [28313094, 26885462], [76920030, 87548242], [31820460, 33467813], [24691867, 3720422], [92768422, 10147888], [39478524, 66238709], [84140509, 32510287], [45027234, 60272102], [51028658, 62604180], [85651877, 87071884], [48446606, 37892647], [29766912, 19242584], [3380712, 61078126], [19074324, 35710389], [16891730, 52141359], [97285592, 61366006], [69402150, 90153731], [99475323, 14518626], [50428747, 43685775], [37762419, 77894072], [25163767, 8320174], [38694525, 36940153], [47479433, 27095763], [81275117, 27126441], [17669233, 27943957], [33992618, 10825068], [20983747, 33094094], [14834740, 36870090], [76850387, 78377072], [86949909, 76552456], [11618488, 11098532], [88655929, 94289036], [33739873, 98147642], [61789614, 16329666], [28715661, 32837516], [68333253, 45429918], [64083369, 12937860], [42094393, 73469878], [39702383, 50427177], [63611561, 57008069], [3564898, 15356980], [54304795, 18003719], [35052714, 72548445], [3789403, 73694342], [8136206, 85537512], [55589507, 19733775], [9521243, 60152650], [192273, 87072012], [84809365, 27509810], [57465871, 4891113], [86952697, 44687758], [14050211, 1792649], [76921954, 59128369], [60848765, 85712727], [26079679, 77926279], [23429269, 2843756], [94955316, 96834375], [1747411, 35608019], [61085919, 57610004], [835822, 32880216], [71737538, 41919481], [45261214, 19071548], [33143242, 76003584], [42746144, 92335487], [96188168, 30597975], [10118957, 83923076], [45230833, 62481542], [17296504, 44874614], [92567254, 38415856], [93198058, 70751175], [50684314, 45379771], [57423075, 58174702], [43037713, 89728911], [63453808, 29208794], [71950429, 95831711], [69788875, 91247307], [62653075, 52675767], [64036370, 65802970], [61150796, 96147564], [27107856, 53694985], [56448907, 89424159], [34808968, 22824833], [75997189, 39314530], [99539061, 68494836], [76012268, 3382917], [55849514, 48641441], [65392500, 89045455], [19893500, 78743730], [92703503, 58719334], [3850553, 28497170], [50338582, 94783227], [77533960, 11495025], [8393188, 97553108], [60838715, 3168641], [86395332, 17706418], [34269091, 46811519], [89023132, 41782543], [50068924, 51969790], [65763716, 66095412], [65095280, 3068073], [77631057, 22204331], [73484925, 8219386], [40215281, 38923229], [48250476, 97456092], [58900682, 87879708], [24311289, 16644521], [35154586, 50639849], [54559214, 44537152], [27040780, 86779967], [23324819, 92308580], [18506807, 35634259], [63528784, 40571879], [33438409, 32504864], [40880960, 35666559], [67149487, 67576421], [98305196, 81977354], [47284567, 38589350], [42298524, 8353777], [48067444, 24156991], [93643667, 47079286], [79802403, 51374848], [67448718, 72407274], [61937542, 96994751], [12972142, 9686304], [66004521, 3003314], [86645803, 89855444], [42320594, 66831307], [95625165, 98757845], [7025538, 15920698], [59555575, 15722737], [83100011, 46661376], [83859285, 26646477], [62324743, 41318716], [5575149, 15707321], [94728898, 54223078], [14514887, 78815311], [5354207, 4970924], [37433802, 97605528], [56345451, 77872504], [56690751, 74505126], [62786828, 86677726], [88928793, 54435539], [36641287, 67021487], [15564021, 56186871], [91821040, 64986245], [68988952, 47010463], [45351548, 4242848], [50474950, 56890465], [55456225, 48370633], [46424185, 3350231], [35349466, 84433725], [66070035, 39869711], [63998869, 77722755], [43645383, 72319778], [74613372, 89812458], [74913561, 59630232], [12440044, 22042194], [54608500, 57480255], [34531412, 98486054], [52164164, 96562886], [89346678, 23801990], [8406963, 58732973], [87288739, 97320183], [59480250, 60924382], [46328941, 76582792], [64275837, 26829847], [93895702, 26957981], [28385846, 12503723], [86420948, 11585281], [83715239, 43233241], [42364883, 87086252], [85494139, 69365759], [17734265, 60162546], [45211200, 44850231], [72657383, 18958965], [58896855, 35649230], [93768828, 30864141], [92486688, 50671240], [4961957, 43922452], [80587618, 35529330], [29261967, 93810052], [10380087, 67563941], [69559726, 55503504], [34852513, 89742216], [24161920, 28481401], [40479501, 10951148], [60342363, 4095468], [46768224, 82303604], [17738094, 17022247], [27231645, 71022130], [54406172, 96591970], [96554537, 39535214], [49633398, 35365661], [36935194, 79005728], [75553642, 48226292], [42432684, 31946835], [20756402, 51348822], [35406347, 67354296], [94138818, 66980715], [97097115, 14924342], [23798582, 90807346], [4757005, 56163443], [69399676, 54939347], [32597324, 59667555], [83266984, 22426241], [29571465, 37917405], [4003329, 70064277], [22499149, 97202474], [96929849, 76337480], [52017372, 42896215], [6939894, 24278531], [78599008, 73939463], [52746577, 22456783], [46929217, 87998075], [64349612, 21291524], [20490142, 7054678], [80835790, 6067340], [12851862, 25094029], [78876612, 81080406], [89977027, 32085164], [62283765, 80602660], [51000348, 28382131], [26637786, 92805647], [13847207, 91502030], [30151432, 16383361], [90244739, 99980602], [80404561, 39423245], [4615718, 26522556], [68051191, 71040309], [58433608, 28216172], [78320158, 80858883], [56745981, 24622187], [89627489, 15519008], [15850746, 28592929], [39198129, 14126026], [97589015, 19040], [26370061, 63177311], [28320316, 58926099], [53960345, 42158688], [51985642, 42375653], [21548763, 65494892], [3811551, 30500041], [62814299, 97034729], [18258016, 22960781], [40830601, 17876855], [48682992, 79363753], [83813328, 80526552], [77298361, 10187620], [93310184, 61080654], [66241840, 16792138], [46838140, 45566814], [96044727, 94506238], [57919052, 22173646], [85065673, 25202476], [51281701, 63013093], [40543707, 47618934], [11195127, 78296120], [42497670, 31388577], [37278108, 13590139], [5116388, 53525579], [18465930, 13322954], [4753405, 3050271], [32302828, 9560604], [15528624, 58763035], [69063200, 16920139], [48031215, 42833349], [26262154, 24064175], [66187874, 11102729], [73563474, 33123148], [26789790, 96500933], [21096610, 77551753], [94447824, 78449710], [38236650, 37774545], [99673964, 5006571], [75574386, 25097556], [5060387, 7019762], [51861185, 14055118], [40719375, 40922883], [74824945, 95414875], [30548879, 9552718], [11410919, 15303590], [55878664, 56947990], [48847932, 25721977], [67155127, 83423904], [2758394, 98379250], [76546164, 82394632], [30072322, 94687207], [60391584, 65732587], [77849255, 6445876], [94158366, 10064035], [75186245, 97007140], [2351706, 7795331], [28562990, 98666813], [260977, 9683607], [89117669, 39612366], [63736595, 92177170], [93625774, 89575756], [12461216, 35911480], [43067781, 38143273], [72002762, 15070417], [74409298, 94447286], [63366269, 70529009], [13866361, 47485173], [19580939, 13321711], [77854248, 61489032], [51897810, 96109686], [99373596, 42525716], [19076328, 43870145], [68711861, 25934627], [84394229, 59467380], [32614889, 91715686], [49952579, 86332174], [96537325, 47383478], [76459980, 89716590], [41926821, 82124870], [85135077, 57087681], [78647966, 70652574], [78445852, 56719392], [3606224, 82538397], [35626646, 61034812], [4013210, 96576820], [66437215, 13443619], [54106944, 29859899], [9523736, 87536911], [83258906, 48885135], [67842493, 36475045], [91262186, 6380946], [37076039, 20142390], [90132126, 84051609], [31386255, 36999624], [59372761, 80006177], [26934818, 6226272], [11822183, 58820071], [93497866, 79252578], [5168442, 9353789], [44291430, 51875129], [81101133, 31088272], [56320965, 86198567], [71231483, 11147844], [21703450, 31712017], [11122486, 49142894], [48385536, 68322544], [54367833, 23647166], [27232062, 28577956], [72086150, 95906325], [78143795, 33843420], [28229708, 21236165], [80599592, 4874131], [79454591, 49803403], [65945145, 47675547], [39924527, 88400746], [14153770, 75421973], [304805, 95824736], [89240585, 30552673], [97046154, 90920265], [66560977, 71104395], [60022793, 69519546], [52728320, 49210378], [34104715, 15722787], [69270447, 45887487], [45223108, 16536849], [73347102, 77680670], [79765874, 77187201], [50218642, 46101645], [56109127, 71036994], [55955729, 76479626], [19767324, 44031065], [78269312, 65821267], [93005844, 44231278], [30104311, 11777246], [51418572, 48985518], [37449059, 60597379], [15826927, 93473486], [2129269, 39646630], [16890636, 99815690], [35878903, 42787823], [67798522, 8175977], [20119291, 19469837], [22291165, 12003625], [27689256, 81590043], [19704987, 3199074], [58707279, 64230073], [69002710, 18298610], [72066212, 38690130], [63171652, 90798164], [49182651, 8306777], [22646544, 52155490], [71776159, 59862181], [26738263, 85239547], [36409733, 84423757], [7814089, 52907480], [61226992, 47244754], [64970183, 53258907], [82487799, 40997795], [40395289, 19728562], [66966466, 81106412], [27501924, 39599654], [52204108, 78882390], [15827113, 30864191], [54010311, 17762870], [46446361, 81943242], [21964936, 36227984], [15690227, 64061461], [70676287, 23876071], [83868625, 24911279], [38319756, 67397849], [87953894, 40616651], [45752203, 21523482], [89732209, 29509388], [288735, 21686013], [34669691, 90003447], [7027143, 59239401], [99299395, 33072346], [33509354, 92227223], [71747917, 27809262], [65100274, 22887753], [45804164, 10202535], [30406018, 38935478], [7748736, 19261989], [97702610, 31073623], [80326556, 8652378], [91479482, 87643486], [49202389, 31584803], [5054940, 48394922], [69407526, 43257120], [32863149, 95564699], [97325120, 21941645], [84504983, 42267979], [79122278, 14924270], [69879963, 87911460], [92195912, 80060805], [17430232, 94966197], [49838817, 51915635], [4042615, 20022584], [72450621, 6420381], [56344365, 14735620], [58978041, 60649489], [8063382, 15556350], [90366312, 92284304], [92589461, 5107400], [26040837, 66816396], [66211293, 60289952], [10132231, 20752884], [56969205, 5240279], [90526986, 74019149], [94405349, 27713639], [78970055, 10297325], [4313248, 24328560], [10334105, 14340330], [97554073, 36705512], [17065922, 7615561], [37100101, 93989527], [69860859, 84332712], [6505641, 74418535], [71091492, 1813680], [39239843, 80952977], [12901775, 77614827], [59367916, 47341885], [25117378, 29348672], [33364268, 20921268], [47117213, 44207867], [43168467, 74797610], [7075497, 42357145], [45495127, 59135646], [1467094, 37242699], [93496563, 47824096], [83885148, 31637707], [97312431, 93363195], [77820743, 71871418], [4905009, 33264644], [2416418, 60461628], [80931007, 38975168], [6204252, 65533453], [96747956, 33366254], [49245125, 62089974], [93130021, 45456272], [40458999, 48866570], [90119691, 61029663], [36193135, 51202591], [76587116, 15600939], [87674847, 48093998], [33371091, 77359233], [41391403, 73763913], [7884126, 22430698], [40242152, 68017848], [10986007, 73300112], [85559593, 15446052], [83840113, 31158513], [99833346, 7836723], [19658930, 90791826], [13728016, 37055861], [60402665, 19934092], [68772045, 96622621], [52148023, 82495713], [72958667, 80150649], [67323094, 34234918], [63951152, 63490143], [38058070, 8619705], [60586347, 34542901], [35564375, 69627238], [71936978, 82447632], [4928418, 19591557], [11660727, 89575707], [50685394, 59901267], [15196479, 95359854], [64603390, 56616323], [82235608, 29727839], [62381334, 64810884], [99008992, 41128185], [51002017, 8623385], [71603416, 41378549], [78290177, 92917635], [46796566, 99052926], [51981257, 21835178], [7131788, 94949959], [77757466, 98027672], [22552882, 26918897], [91353470, 72906932], [61618428, 35449829], [7934331, 8685304], [20159138, 55791005], [48826972, 67962092], [73296624, 79152823], [40703833, 85638067], [99490243, 83590974], [39981246, 23716771], [30963064, 98657849], [49240614, 73892749], [73261635, 42495009], [38049710, 7692825], [14192593, 13405726], [36165383, 48232537], [53576825, 83671628], [35728297, 35453139], [51041524, 80414599], [8366667, 30676012], [48463378, 39090204], [87082463, 66277882], [73276310, 26343484], [41397127, 14981115], [84971142, 49271626], [85973004, 16282063], [60440231, 92403299], [49860250, 73207347], [87469196, 47819992], [35245604, 76614738], [40430167, 89001342], [31180281, 10511545], [30299529, 3559929], [14739985, 98183134], [51501681, 45217885], [50526342, 44279941], [36502257, 75041362], [62225294, 93027962], [44642273, 14565575], [18382259, 16223234], [79132122, 79381616], [80367865, 40615439], [34101462, 31629437], [64992721, 83595638], [9347518, 99666176], [86531804, 1544051], [47765828, 79311219], [21029618, 32307177], [94536234, 65925537], [89199213, 5765571], [33670654, 45816524], [16123123, 73243564], [49655891, 35396624], [3656523, 45394908], [82789977, 84095544], [37129556, 99423709], [76755007, 59803046], [37587848, 90061046], [77784314, 83886630], [51878420, 71008505], [80117162, 16665631], [85167565, 74581524], [6489164, 3388087], [25875979, 80230895], [76200310, 18886451], [62194013, 66786957], [70416812, 18447743], [12523043, 80534113], [92161237, 77801423], [68683856, 6705762], [28540698, 29103995], [51595402, 66185379], [99441443, 38207018], [89341459, 99176310], [40706125, 52470113], [10200091, 27373822], [85119733, 10485709], [1534316, 16126248], [7307432, 70027514], [10697923, 96859341], [65617109, 45882310], [57091882, 31833493], [78990266, 95856091], [12202182, 57249461], [41413020, 46201272], [28121415, 27990838], [18288516, 79677824], [9769490, 48871296], [82495475, 29208729], [25090953, 68650372], [84926656, 94849717], [61827797, 72905528], [67399340, 82463971], [52335913, 49134086], [41060098, 91525366], [58989354, 79353100], [2573158, 9009080], [4545000, 27426334], [466627, 85887093], [6891347, 46085685], [61286814, 44518655], [79320972, 66264643], [52261738, 18384317], [99592993, 75169147], [38064672, 12256018], [74500852, 8202415], [11603949, 14949166], [55956403, 25337817], [47954819, 87886056], [24629806, 33703230], [99653911, 29672468], [43405870, 752463], [4810862, 97490169], [44586134, 22299556], [55373463, 35709798], [77646231, 9642250], [71774049, 51713646], [31109402, 57887852], [99082062, 97032663], [39986783, 84908593], [34549871, 55237981], [40653885, 54774462], [15742835, 34234057], [59588956, 56329466], [62010300, 70171762], [31062429, 28556621], [17265934, 74079032], [25700490, 84385976], [29877067, 74704837], [3543287, 17977053], [89411675, 13579639], [858864, 73461825], [74861919, 64900733], [38501277, 90359786], [60234987, 92803578], [18495790, 97920848], [13618698, 18509085], [36920884, 87083637], [68010116, 87182600], [1562673, 64779058], [3709984, 47106630], [76589422, 72767867], [92799122, 69989090], [57015483, 81704998], [3596768, 58935010], [88705410, 78861706], [14497849, 89643725], [59412946, 79046384], [35887479, 13121841], [87158318, 11642376], [63779044, 61626115], [30548056, 58950460], [13633822, 52267972], [98630355, 50274703], [26719893, 61277789], [53836494, 15272813], [74375759, 21456772], [37612583, 48668505], [1291889, 54965287], [76696516, 3745308], [29660730, 49180935], [17943009, 19189639], [99610741, 5196056], [80949185, 92410316], [3821053, 71969908], [92222188, 6233692], [39986674, 3764992], [88282793, 71468969], [12791461, 70205076], [426086, 96988154], [9908934, 31857548], [60480149, 38773715], [50346951, 39071347], [12921621, 31728446], [68742755, 75032842], [67644148, 76349515], [49371492, 90106704], [95991139, 3341552], [30392160, 98319656], [83087247, 27204545], [82982264, 29949390], [50680881, 80524361], [60286255, 18856170], [48041675, 28412633], [31979813, 85002189], [23696163, 71814618], [72634245, 16730780], [93051362, 57021883], [4048370, 41663384], [72986881, 81990175], [78108539, 66781358], [15948078, 73378338], [4847792, 49674567], [84273514, 49171514], [86669155, 89708817], [68233478, 49858431], [15954472, 11329203], [8378397, 24038419], [73451716, 48723582], [82208456, 67545996], [77536196, 84290002], [24140986, 4728419], [94530501, 26915031], [81601370, 85080738], [15290855, 63887754], [36255122, 12780077], [6528261, 63146091], [27520859, 199491], [18339886, 38201529], [53161181, 60060100], [3114008, 49448755], [92909997, 85191446], [18901261, 92793909], [94554148, 99013368], [4821401, 87090879], [63673766, 74992600], [46878079, 25007394], [94337201, 9721516], [96214248, 39518692], [8453713, 48682116], [40894180, 13008233], [80852289, 19929220], [85372803, 91399044], [41320223, 50601682], [87031986, 5171863], [52827740, 31440910], [32977540, 46174296], [68641878, 73620023], [96972676, 7591709], [12288691, 60309081], [88759998, 94209323], [80114471, 93327855], [38741954, 22552641], [7621426, 81490685], [32894033, 51106859], [40220978, 33256827], [23006915, 80443882], [7208041, 4975110], [45104134, 77237967], [78671628, 15423719], [29688211, 877436], [19679374, 50526834], [93993503, 26856348], [61928950, 3818357], [57175513, 38100358], [46196616, 69191335], [9540938, 76005907], [86938767, 46453832], [58772522, 89648360], [66581008, 14475309], [24175169, 85307362], [85179937, 23704282], [26364436, 70039807], [52833037, 79710508], [60894285, 1101715], [24998355, 24879979], [20229204, 62768421], [36602562, 99119860], [80213201, 24050019], [78116680, 18648469], [66133111, 59536460], [8423771, 21495712], [64449527, 21526904], [50163788, 59894731], [89577001, 37191018], [11719951, 39537705], [66869073, 5356574], [97812444, 9164663], [65426140, 93999006], [56486697, 13452389], [91349266, 53262908], [57280401, 81917387], [84717547, 60437701], [65342858, 89981671], [14364093, 47372924], [80265276, 48872268], [90313186, 72914015], [68145252, 81261335], [89637626, 19898515], [9211160, 53005580], [38225501, 26488451], [70370165, 7292138], [22580125, 72890417], [89975795, 89396376], [80792501, 92395952], [47350583, 68489051], [71014514, 99693586], [92398955, 57123642], [21341487, 35623222], [25465974, 35573067], [17954322, 56542954], [91713697, 83639307], [21799729, 68453287], [8036192, 62925987], [18156359, 47203876], [84433421, 57127731], [41552862, 94640542], [42797269, 67138858], [71317221, 18347984], [79665382, 23941325], [61922804, 26771654], [34881061, 49640142], [36316397, 97458661], [48202028, 76199750], [5990530, 39748737], [79541408, 46312939], [37871760, 83431763], [85516445, 55093154], [63874303, 61026172], [40487904, 38650654], [34758717, 53884534], [28190857, 55190605], [48114651, 95374395], [1617648, 93812204], [85716624, 6922429], [61567090, 69684479], [12193426, 11892376], [19032354, 35324960], [2844209, 46012405], [24081362, 75379829], [76038399, 61602216], [1436835, 48244090], [39797457, 3812300], [46433368, 95542740], [21013934, 63707100], [99265231, 30820452], [4472338, 110739], [48089009, 46820712], [95337831, 67026864], [1800554, 13788738], [6659748, 63545324], [57810725, 84180152], [84368664, 7123731], [5038647, 52479761], [49761316, 31079030], [90442183, 76839738], [44743840, 66664313], [13553214, 67095161], [68376468, 83886057], [36213383, 35674500], [59973268, 39479611], [49300235, 57671309], [34810678, 88612884], [8899600, 43784602], [62270577, 88545875], [94482286, 54301626], [10669292, 39004443], [41116802, 39537396], [79556242, 4091238], [60445122, 33476434], [18581917, 94946249], [36582144, 68215450], [58526540, 95549203], [67564421, 61104937], [19689982, 44822281], [46940161, 44751863], [60046689, 86308236], [36118377, 10414503], [39312835, 5757728], [62438965, 96691171], [75571853, 66493587], [43735770, 97978044], [78963151, 38740209], [51712954, 75028818], [88032857, 76662433], [62600165, 86087292], [56063304, 72542730], [6307737, 49591822], [56282100, 99212152], [79655210, 28586068], [1991812, 15621481], [11507929, 8503514], [19043284, 352798], [85733458, 98723936], [94750327, 50819430], [25677569, 16981788], [27086574, 70090833], [60150629, 74291442], [85723235, 11071016], [77482435, 27845326], [70548209, 45996197], [84263586, 6507783], [72752649, 68222879], [37601577, 23995944], [96291886, 38814989], [98057747, 50652330], [63471925, 74697550], [39183446, 60906418], [27779401, 77360814], [89136026, 29862261], [28984891, 16464947], [51575429, 72421049], [27141278, 58152125], [40377474, 59753663], [73171716, 20608984], [75287651, 31674541], [87790066, 52724189], [70958353, 7654072], [86149340, 29686332], [39519758, 66477408], [8979961, 42008260], [41038147, 41261170], [21582875, 5967311], [55615875, 36430823], [28085572, 92326041], [50106004, 19328983], [5205673, 99894918], [57927120, 15065036], [11130524, 74450179], [86402425, 96990817], [69585943, 40855373], [20577814, 1045745], [575553, 51148839], [63991608, 88947602], [64648707, 91484049], [41332547, 55675870], [39134404, 56131179], [32030106, 72632512], [52635891, 55654206], [28191573, 64047723], [72319189, 85835847], [52937820, 66535163], [30805942, 87094133], [88524948, 16571376], [95004776, 54475333], [68539833, 23283148], [35663339, 62646889], [98389272, 3460744], [87588125, 43931019], [80298423, 86011727], [84375929, 55863005], [2677346, 26995362], [53963640, 62327935], [61528585, 51110372], [20899820, 91068555], [18768810, 56907085], [79149303, 87049973], [93680250, 58413758], [81841555, 44486408], [90646631, 84280424], [88962877, 63957451], [45339295, 71998671], [36421305, 87419659], [81742033, 99478279], [17952712, 38363807], [38605666, 43865803], [42371128, 58032192], [33935719, 46738394], [84214782, 92809564], [35683893, 86226331], [40911055, 56963646], [99248088, 9221673], [87262278, 55018431], [35437762, 78063979], [31079930, 89147244], [80887852, 86777252], [77317781, 74081535], [83835653, 60169890], [13398339, 93195081], [1889651, 42769159], [20714696, 28831196], [56819320, 21217966], [29856031, 46149045], [97524186, 76039804], [18154486, 7826252], [12477166, 28127861], [41669570, 40919281], [69125044, 98867242], [5738606, 10857361], [39564957, 70259047], [29990144, 32935001], [17148407, 39272547], [65395567, 67618802], [73617706, 41520899], [10836844, 68334815], [32504710, 98750435], [11823491, 98574543], [20551758, 79341265], [14225288, 49447772], [29870729, 21159396], [97658950, 6945615], [84408767, 94747351], [85651235, 16782120], [2729161, 88860423], [14726787, 54806111], [36834549, 68286735], [27557341, 37776187], [62501808, 80602250], [22147559, 89082086], [63013614, 8260221], [32615484, 82013580], [92042343, 86089070], [32802515, 84663150], [25386696, 4953967], [88750749, 69947246], [71108001, 63277111], [89883300, 22328387], [98538175, 73302403], [76674115, 45496502], [13915770, 58324164], [16236083, 53706472], [39317769, 6939818], [1135921, 38109208], [54305413, 67950162], [95035180, 21405253], [63892041, 15712568], [96993066, 40272928], [5082961, 86523537], [12946858, 91215689], [73792022, 65030776], [70141921, 99050019], [79837453, 50169677], [60901592, 88801313], [51974708, 47415459], [71501311, 48359175], [90983075, 34395579], [4619225, 85500113], [19292612, 11215611], [17559885, 73458087], [16672841, 3182050], [84763888, 6832821], [10495504, 7495087], [8362203, 34601300], [66386795, 18621092], [81863307, 85247481], [72523446, 35770316], [3814586, 14866887], [86532220, 98262810], [62040783, 9324640], [11226628, 87291833], [63906953, 67652442], [50466580, 52608765], [20202070, 93842267], [93850595, 56780260], [49230413, 31258564], [73055653, 23578216], [49086468, 10787287], [27286717, 14798294], [95271183, 78015182], [86559135, 86637289], [70038337, 29225999], [36067547, 85975314], [4149601, 40324120], [13790507, 49631677], [28201263, 65807497], [62689507, 6742943], [25939116, 10304251], [79182589, 11788407], [31782295, 21966506], [59914629, 52745386], [82593066, 98713994], [26460640, 91662662], [44860185, 44735804], [82512270, 15468890], [14576515, 79731742], [53818660, 17881315], [82883835, 43656085], [12299118, 39824099], [45120339, 48268669], [10644573, 41530670], [78286299, 47362102], [54242321, 86155243], [12827056, 80351781], [9787345, 10125199], [86484332, 78521735], [61392524, 19665787], [91352934, 29034480], [72999812, 43515034], [68210547, 58671033], [97777469, 41439347], [95781081, 76462529], [28388290, 23956073], [69955095, 2643251], [14903076, 46000516], [68564432, 2396043], [16806358, 25647722], [95762322, 7440455], [75246107, 40393715], [46852785, 99242051], [17985605, 51010545], [71600674, 24596692], [99673193, 43507947], [43731870, 54401871], [84235677, 59877690], [39182528, 67713932], [73883164, 38540865], [56271957, 56598678], [37994033, 29884863], [70152623, 38899099], [62655684, 31473730], [87229005, 94426935], [23089433, 11039604], [51657788, 67412368], [95636582, 92026296], [739270, 91421179], [18277413, 57439054], [21479973, 56780547], [14826305, 40929237], [99030393, 24289625], [6424084, 43085783], [84182106, 93146660], [52908928, 33128971], [563379, 77150368], [15910936, 54344833], [28527145, 71999234], [58235734, 30045046], [15368959, 55618838], [23731401, 15809562], [84568448, 94358224], [52310434, 14396170], [12866270, 85161227], [8147294, 27100907], [14644697, 12988308], [86814886, 56328523], [96062616, 33000288], [43492, 42872288], [1308735, 19582708], [73226365, 82013458], [42877398, 47155284], [61131995, 91573961], [5368175, 49775244], [83541579, 95216171], [25996376, 97299460], [60472736, 25745035], [36559715, 135658], [27034023, 2529021], [15574043, 9814163], [95685288, 33877003], [6488726, 72863127], [86611787, 61625491], [72160841, 9591825], [94241578, 56306536], [14515557, 11355633], [79835652, 69567738], [32347551, 4447834], [99852356, 45256899], [3592061, 8733379], [88285568, 50303272], [82222435, 47002200], [49435901, 52385753], [57197360, 43406064], [83658077, 81270679], [43611326, 24173566], [80890701, 44364474], [31578042, 32327020], [84797354, 68790099], [98844546, 82215607], [13133143, 28347278], [47607792, 14586865], [13203654, 20805928], [65810052, 41564721], [27340970, 31292345], [58577100, 71996387], [45044340, 33803146], [51495212, 73659916], [68337353, 80157551], [2364858, 61803851], [60481076, 37711586], [65755965, 12512426], [54465368, 45159482], [35143574, 52675585], [48284302, 59486475], [63142528, 78569195], [49509356, 42040314], [6321649, 91693418], [7721387, 63342487], [39472802, 9281244], [11771698, 17534850], [66463702, 30368735], [83643831, 55619523], [28779109, 30408485], [31559581, 25435653], [30613955, 26970523], [18043938, 80546540], [6242657, 61889906], [30138115, 33774578], [76842749, 64858786], [95137497, 58268840], [11458469, 43364523], [96346362, 56106812], [3310966, 36176060], [58408793, 8978137], [87582500, 5194245], [77252815, 94115123], [88393064, 80908505], [56671528, 64846875], [99721155, 47450250], [83487755, 96040373], [22344221, 93839515], [17645683, 94789064], [19913233, 38798731], [39806831, 56763109], [39813349, 48707042], [23837223, 57295948], [3708646, 6506097], [56949719, 68290449], [87820078, 98916745], [53730852, 41689466], [32702683, 12918337], [53242307, 29599474], [17813243, 54939219], [15306800, 5666487], [88886587, 20633966], [2533846, 84082836], [84376846, 35875736], [53171133, 30583247], [99705135, 41579921], [20873868, 32501162], [89491389, 3426509], [36881710, 34105808], [24051547, 23708663], [42528077, 33628909], [86470796, 50658109], [89182704, 52753316], [42905344, 11917150], [12050717, 62570244], [58769996, 89626893], [61171190, 93897308], [90560646, 90298438], [39181739, 35167782], [38917778, 64218802], [70756562, 92760405], [56442860, 17873597], [59313420, 25661344], [87037097, 1679844], [64911803, 60475211], [84975036, 31631277], [65435773, 90799470], [83342578, 96807167], [12959029, 73511548], [19200888, 98987396], [88569214, 75434633], [28569235, 32181759], [16307707, 25135731], [83942488, 86239311], [73173445, 77058214], [96843939, 31377924], [26689784, 26553582], [20098093, 67883700], [96344440, 29129955], [54579673, 58244809], [54494440, 55950807], [96752265, 11009651], [41620028, 19358841], [52173155, 1745367], [89371183, 91753858], [49680068, 33024331], [68469257, 98333435], [34965291, 46037156], [40365298, 51248008], [76781542, 76741956], [26734975, 15920882], [46013256, 50502886], [25221871, 28315373], [30167908, 44758601], [14442997, 73542810], [70474333, 14904535], [40221549, 46998659], [11576994, 24116688], [53185262, 99483033], [79358437, 96547013], [87805862, 76746093], [51561161, 4743931], [92179795, 40201588], [73760106, 81805484], [99445159, 36338670], [88319942, 8671090], [50735806, 74707148], [45102661, 24790435], [60381250, 78118086], [62786196, 48953283], [28825992, 73784193], [60431855, 25987743], [40669724, 19878703], [48045449, 78377431], [49737340, 77050116], [43300084, 14197178], [93950771, 86166767], [93432786, 83443784], [80755705, 52596860], [94939630, 66906847], [37778630, 32666275], [89004093, 4022760], [44307597, 22866759], [45993876, 69452608], [2711909, 27596040], [6404134, 90605103], [69381355, 31439189], [25861247, 552545], [94146508, 82951885], [97654699, 53092731], [35208626, 62504675], [48536134, 49148543], [51600681, 90235362], [61095206, 94204077], [15067199, 81707747], [60889752, 81987496], [75390080, 32340345], [84205018, 4296274], [54182908, 91722328], [33128549, 74994898], [59201961, 20320438], [56082240, 84670138], [17687426, 99238123], [98370247, 41537952], [18984659, 42028665], [74624472, 46807387], [50015167, 44769733], [73343540, 88677535], [82643581, 1966307], [74082553, 7841354], [20172989, 8221316], [50989501, 45821903], [52136313, 77825862], [96380673, 33392252], [22778822, 9319433], [23476808, 10386787], [2673447, 22255457], [16844999, 22623784], [52488897, 42662464], [49771971, 50444224], [39512876, 94888222], [97479960, 63944813], [83369207, 31839391], [99583027, 59926635], [2220139, 77407660], [18807584, 38250041], [95190815, 80862661], [38839156, 16573560], [64041933, 5244903], [17345809, 3764936], [38225875, 71550987], [92020728, 69147500], [36029263, 35918725], [93125146, 99491290], [12485007, 90584914], [4793799, 19089190], [44674282, 24559383], [30385073, 27828464], [39061916, 96886080], [71182795, 33823968], [28413592, 77625521], [87889438, 78210107], [40678764, 17582870], [99372635, 74523337], [96526608, 40134059], [28057140, 39590543], [41086258, 9311990], [14356304, 82782123], [74966541, 84494058], [46290743, 26088544], [76654, 41562935], [5321745, 87715563], [17868688, 21101792], [93372198, 71476327], [17102831, 98354792], [91781719, 2000730], [37101310, 35777661], [81051758, 50838331], [3177089, 72918236], [8858402, 76625407], [66697096, 7102428], [62146302, 7870834], [64053144, 77746635], [79242343, 60443596], [38684875, 16438752], [70898233, 18208934], [662600, 36600352], [35735374, 94942225], [52460428, 10079666], [10780677, 17189257], [46557178, 55267936], [38707762, 15136746], [68725017, 38426131], [25167922, 16019017], [38317760, 38345706], [28423525, 30266824], [33285545, 99138860], [84520564, 41444492], [31850825, 48295190], [63717765, 25488278], [80231292, 94994702], [30165106, 42576314], [23810523, 40230323], [83641086, 38098103], [66678719, 69231266], [43065342, 15570081], [88719574, 79022922], [14522450, 51550200], [85293291, 25206392], [92001645, 48671918], [39697024, 2938925], [791648, 91770582], [83914007, 27327319], [95677798, 39375375], [67236332, 44738874], [3755700, 28940680], [33938509, 50190361], [37099120, 76789373], [97192900, 94194465], [85338604, 40985190], [83277693, 28194128], [19692547, 27049216], [74838819, 52586896], [28443307, 16355263], [28427678, 73676331], [17553102, 6508156], [28323499, 88769193], [15097861, 75598371], [50977197, 22255418], [23739206, 35441974], [66295896, 52210833], [10193018, 60352954], [99329374, 41630637], [22974482, 83330855], [64171669, 45419480], [4487169, 21572728], [13647021, 50134291], [83451049, 42376452], [99795434, 41678512], [75933719, 44428967], [55462049, 74970254], [21583950, 40971747], [21382706, 14486723], [30347493, 45655997], [20279165, 85271818], [55021480, 20394538], [83417845, 74405409], [91062784, 90339901], [36267198, 79747817], [49333447, 36404246], [84528187, 28622996], [52059967, 23259958], [32776577, 38834493], [59053287, 8290404], [69661341, 39890874], [30266987, 72826333], [72177312, 64524523], [7147276, 56422851], [7505509, 44520039], [76522951, 25710981], [79410999, 82215553], [72102733, 19307368], [99371884, 25174534], [98279395, 63568581], [78100563, 80120863], [90249861, 19268482], [54204369, 80176908], [17434063, 63824953], [4480075, 56140758], [6254124, 84947530], [9769431, 33024217], [76797988, 10269619], [68421212, 47010458], [43751728, 83333963], [30014592, 25800195], [33868569, 55847304], [27740771, 97358788], [86998487, 32129980], [18759021, 68250359], [38385570, 18620353], [17080727, 63742867], [33265602, 69641264], [80410715, 27516212], [22843842, 51593332], [33959106, 73757200], [24726323, 9966201], [4988848, 85157838], [78589705, 98598497], [93925264, 96942082], [93912612, 71154816], [45481741, 23877142], [78503625, 79229254], [47160510, 21906417], [39966024, 60086738], [93523525, 18025839], [71268333, 79374915], [84163693, 37168655], [83269096, 52236990], [97543871, 27678265], [16754742, 60479718], [86809332, 31669938], [14734194, 64757159], [77157701, 92612451], [15349326, 16983825], [98150703, 77329116], [18125879, 70533449], [45661304, 13176522], [71794295, 69482615], [60060308, 27730408], [41328454, 10627463], [29337129, 86831046], [44174736, 44969344], [20804475, 3232586], [19002052, 56252238], [26884948, 38288581], [30356033, 64309860], [34635944, 89114473], [54260110, 6269214], [54963665, 69575204], [87957883, 16644694], [75410821, 21652094], [69204781, 43968249], [99921771, 73246265], [47485123, 81291618], [56786665, 21747587], [75198281, 46914818], [74350635, 2110729], [27734777, 32952663], [83886023, 67294353], [76660021, 48602287], [79624297, 90770322], [2722871, 93272774], [51048272, 73238705], [66165219, 58745904], [27771142, 62841134], [96733520, 11779085], [95771173, 58034233], [14093014, 44292579], [91138804, 56170701], [9189893, 53913554], [93437964, 23337794], [58094393, 53537387], [71628527, 61589953], [42630450, 60222671], [71575511, 38521964], [55918312, 72237178], [42582554, 57778872], [45449108, 12842996], [46455490, 56200899], [876650, 54228135], [13267117, 48595645], [22144283, 94579518], [15677422, 41717965], [81991766, 49288010], [1792366, 91797640], [44251210, 83965317], [85304493, 735349], [55383414, 66092244], [85972836, 67007695], [21410800, 44975412], [5727092, 80604015], [81588722, 26552332], [4458675, 29931392], [72104285, 91416346], [90339118, 48392208], [89659435, 28078037], [13462258, 39660197], [23164283, 12229462], [13474450, 78643254], [91630349, 47814499], [14509615, 67881726], [8724799, 42648628], [23364117, 66023251], [40133394, 86664958], [76597735, 75401022], [23969213, 41403309], [46744604, 88608335], [65286080, 66754958], [66684993, 34258167], [62105974, 56203207], [76999649, 58976267], [32474988, 29094847], [53272934, 51577556], [76038115, 92150597], [69702570, 24237151], [8259072, 84008424], [64308850, 50390121], [33242155, 80175904], [59004709, 17300864], [55986816, 9995567], [54302902, 21901848], [33313457, 66764974], [53969380, 54601637], [96889593, 2809824], [523586, 27033164], [45309781, 12071198], [34430123, 76197329], [46363548, 63573044], [34827834, 57632563], [26454635, 68646864], [83987890, 99678609], [21825002, 2927970], [6699685, 98603001], [54531568, 94389023], [55736806, 14954286], [38034542, 97253032], [94323226, 28940743], [75001117, 1009879], [2847339, 97886762], [66190357, 10422904], [92169028, 25194624], [4271538, 66678172], [86060101, 69058938], [27849865, 89960203], [12737885, 36413334], [97747525, 20830842], [76611603, 80990775], [38051275, 74142617], [1484204, 37544257], [45281018, 6911022], [66383728, 90618367], [43928308, 82966684], [96367578, 84233703], [93831530, 98204964], [28103581, 6043540], [12691889, 66329072], [54364428, 98188004], [18624793, 85246917], [60887836, 70165824], [23955203, 42339748], [10926852, 13029065], [69530234, 71864443], [89227527, 6755136], [2339004, 54683687], [41310357, 72591904], [80865524, 25409976], [62753645, 50275525], [21461800, 84302639], [33979946, 748678], [5830748, 37260142], [30023188, 66885003], [49486992, 54585286], [34769340, 70088961], [91273691, 35164653], [79540616, 76739729], [44890915, 90814025], [78686627, 23059201], [94245928, 18856361], [18715362, 56903165], [69506574, 94188264], [4023226, 74529674], [1330124, 99045941], [53263513, 37597639], [76990576, 33666357], [46127003, 46621237], [83731796, 13922446], [96358271, 27846], [74726713, 45175958], [39283702, 32730597], [21574352, 2216255], [87770376, 4688662], [35347576, 26741311], [2516557, 92296522], [37686913, 53551194], [15102586, 13663419], [74137833, 17210901], [76538749, 58026962], [37767993, 25148139], [59098973, 10641496], [45537868, 3457455], [92664932, 10498246], [20298221, 23338046], [37154718, 36385912], [2159888, 29958490], [616142, 44448474], [16824922, 37449735], [67535147, 12568569], [60138092, 41792094], [10369090, 75473576], [87334860, 19741431], [98442042, 19839123], [42505712, 62532578], [418680, 36740570], [71619587, 42083034], [31976373, 51379462], [43052352, 23948262], [64017151, 17661125], [53071051, 86237155], [78533769, 46086962], [52081108, 31259934], [34653775, 13218674], [25389635, 37401454], [25433750, 82589004], [72547178, 19428117], [90448039, 1780927], [46072068, 18133616], [66992338, 9127138], [9785424, 85352360], [98420228, 45163410], [60450623, 53517013], [11178644, 20157301], [46677055, 30673514], [97087176, 48223641], [38167089, 61145022], [29468785, 18434717], [45266507, 98276038], [66865682, 71528958], [64523990, 62988771], [60314501, 43623847], [41286313, 72772954], [70083772, 82449061], [62255470, 67473820], [81711102, 35537716], [83629027, 6466745], [2652100, 41760430], [74172705, 37358822], [25845604, 1103886], [68250794, 98497045], [77578236, 23471719], [80640608, 82348482], [71718826, 74478614], [25118458, 36089914], [81480958, 342082], [8956183, 39541921], [53314487, 75120613], [60873813, 23428554], [73922286, 82540948], [34609368, 44138533], [86376159, 14862389], [13837073, 71671939], [36197262, 85915632], [34564630, 31722776], [24101935, 77284452], [47269797, 79829768], [29187078, 62344214], [38412800, 82891894], [87558317, 3086898], [24083153, 6066806], [803381, 6652381], [89202332, 90554920], [15601846, 80605029], [40331099, 93352538], [98730477, 19555997], [17197252, 96902779], [84723199, 58881559], [62053755, 27850160], [1054111, 75252830], [61912100, 91067421], [90758185, 71521747], [12258052, 48213573], [19911428, 98150397], [20509436, 98866532], [36302209, 78161671], [70325811, 5555828], [63404899, 26311952], [81871549, 89249213], [53114590, 39023531], [38965794, 23121281], [87320086, 24754003], [19905048, 31956420], [49163084, 2829542], [98944881, 10362585], [32348145, 96358087], [50855114, 12974683], [34202712, 51980817], [65349112, 42508498], [11122637, 53385536], [39078005, 58061843], [42153777, 49876598], [46773464, 98810381], [83954636, 97472550], [89553651, 3307146], [39998449, 279205], [45076123, 64253227], [65560705, 37417487], [65577453, 48040874], [54073405, 38041667], [63759521, 19353202], [8575756, 78731136], [75650374, 74231622], [66273731, 97760828], [91970888, 86402903], [32886719, 45843208], [43835990, 34854523], [33708866, 79043277], [68258490, 35701763], [1218556, 70567302], [87029540, 96663023], [23210194, 48186972], [38646826, 51490233], [3486944, 72560378], [7681559, 76237301], [77519126, 53590679], [24173223, 11881189], [96663165, 28383306], [76712653, 94156377], [41371521, 60606002], [12776203, 64775570], [88533126, 99447075], [4464546, 18679791], [14054863, 65071607], [95086450, 1518133], [41227419, 13421022], [9718167, 4419771], [14219475, 68785562], [81167950, 96067207], [37087051, 97148420], [60972946, 58488001], [2917799, 14928903], [26990685, 35337439], [55128614, 6880723], [23997017, 87235160], [77934302, 93263993], [17934709, 71108260], [52849190, 96849651], [47547427, 11246774], [31198942, 51427886], [73171076, 29344955], [51504721, 58203768], [42473357, 23542840], [63015147, 98368860], [71622198, 82154071], [62570887, 75076993], [80305970, 11301131], [46561264, 57495854], [36113245, 7326317], [61105080, 71835504], [43733794, 43754775], [72463528, 12776184], [60791002, 21875908], [65051909, 4069704], [55540651, 46142067], [73452497, 3591130], [58066891, 829800], [26194167, 69709089], [49870198, 55852247], [167176, 51639181], [54551181, 84174028], [79411904, 31888970], [28611375, 39023487], [40779877, 6013362], [97824614, 6251933], [40384607, 94113480], [65252794, 39187023], [49899313, 94964242], [73687859, 75232573], [31746935, 1831092], [9823485, 81696174], [55830938, 64299297], [48686353, 11213570], [16693085, 75807453], [40397046, 11787895], [98592854, 50958731], [12689911, 37643389], [98546473, 51966669], [99361351, 67615352], [14944133, 61430045], [18015914, 18909476], [3873083, 67864286], [85256830, 49554572], [97859409, 29245644], [7942973, 10325575], [37195705, 58755008], [34927775, 62010872], [86290145, 13090323], [7737699, 66043037], [34932352, 45099832], [39307934, 95830859], [68853061, 20977903], [47766152, 59338330], [56512893, 99797295], [68175252, 92229535], [34459271, 60221218], [311134, 99076103], [37685097, 33358475], [27591189, 18103240], [15899826, 68983159], [63782280, 50464989], [54017816, 2792688], [32528296, 45488546], [98295144, 53456338], [40435550, 66172090], [85616255, 79129607], [52187871, 77410535], [28603773, 7670416], [29388181, 37623669], [33319385, 52481092], [96956018, 93681274], [55859275, 68874167], [55110596, 66342730], [73581598, 39221969], [29705753, 75920737], [60171511, 47490118], [29831513, 26458763], [56857720, 2890010], [65000596, 94705391], [97653007, 53983977], [58173694, 74605788], [79234598, 77273580], [28279675, 40395138], [37374716, 71760873], [97749250, 68351856], [98351880, 56647156], [97470647, 96964978], [53735183, 73098979], [20693019, 260113], [67119564, 79408477], [9204578, 62320355], [42964628, 3347413], [45891464, 7931691], [71096249, 11175699], [47193060, 4348600], [80859794, 54470304], [4652822, 47068643], [38652365, 84410810], [15877462, 68730749], [92546491, 22463912], [38536578, 78235563], [91020330, 56537186], [26176885, 90593977], [70490797, 87134080], [37728751, 42666453], [57585424, 53489611], [13773512, 35089016], [80878243, 78723656], [56472976, 89500320], [43191360, 59990499], [1834511, 80084375], [37307916, 93034768], [66462416, 75944680], [32155064, 55352047], [47990420, 3419427], [47336991, 20318615], [1401812, 14336591], [72371583, 18401163], [17617837, 87159814], [10784241, 47459446], [72759026, 68085775], [59963955, 38026071], [88306569, 11190250], [38672240, 35701331], [43899977, 30185812], [81205645, 24800906], [20935173, 59640292], [11599934, 37767409], [95723960, 25954427], [56875504, 61726031], [50120977, 35199728], [64161398, 5146202], [76458437, 25495863], [19748404, 24377893], [3447398, 36560230], [65398397, 95894787], [8649279, 34526910], [9683760, 81183682], [26248649, 98228716], [60043443, 53332350], [31805368, 2598139], [44438874, 16581947], [40109014, 42948015], [92524062, 75243048], [99928378, 82093043], [27441982, 43886435], [55040282, 21081792], [52545346, 92705000], [11057310, 17823960], [39532182, 71197962], [22963720, 62738580], [12841105, 69746516], [52129054, 7058494], [86072567, 26935848], [24637107, 49215015], [75093343, 71962069], [6429158, 95388278], [41846853, 89855208], [4393148, 36470388], [25511236, 27748643], [12349483, 18428149], [19736182, 51911752], [69474423, 1507239], [24277035, 35057224], [27190483, 57116063], [33568842, 69035255], [12211740, 22149522], [80088789, 99002162], [82781721, 53613903], [41113014, 28076336], [69496901, 82124934], [51698038, 65989268], [68833276, 30636861], [51728897, 60897168], [18836178, 91647017], [37190309, 56830975], [63982029, 98022738], [99430809, 89163695], [61522442, 56030690], [70241022, 45226812], [80614802, 42911349], [36766487, 40228400], [69810868, 48508842], [73385592, 20092396], [8903249, 27707163], [64142359, 20542062], [2390096, 57584638], [96537307, 1163617], [11775215, 21527698], [68297019, 84563380], [65693542, 75084378], [76272964, 26861071], [46908931, 23303387], [55055596, 63310550], [33448789, 68610814], [29980306, 12162573], [90718862, 93293119], [93778554, 92703553], [1718851, 80221443], [65985838, 21568074], [32616190, 95265312], [73577744, 2929364], [46371141, 9061312], [49949863, 23991742], [19647908, 85169249], [44004531, 3373632], [60759581, 80582667], [66781882, 32176241], [61165113, 81927386], [37855759, 51473341], [66866828, 61926163], [61290982, 48554517], [18266448, 14719383], [7669511, 23547123], [44995476, 66356402], [11856135, 13390777], [23657631, 55848191], [83312629, 78910266], [75821545, 17771728], [93069433, 18322436], [60146383, 92016044], [46365031, 97545290], [9575701, 92389588], [14478759, 14224805], [13937801, 6095647], [83081408, 35432737], [1955063, 94274284], [70502791, 26038201], [44417546, 19641855], [2447820, 17932195], [14328766, 59855334], [22915018, 8642976], [38603391, 2884285], [71768824, 76638728], [5412813, 5653405], [44692614, 89337048], [45808742, 73372551], [64372591, 84970075], [76134582, 46757382], [11359918, 72891479], [83199145, 87890742], [99563622, 33710641], [72777153, 25748731], [49279379, 91637144], [82723793, 97447478], [77564938, 13350518], [91078954, 60998465], [22387939, 32643063], [2941535, 17654617], [96848076, 973839], [22493619, 35947437], [38217172, 6689704], [12549777, 63097003], [72848635, 7719620], [93332764, 48816310], [25819334, 90706504], [92201095, 33518729], [15280045, 6301353], [73136729, 59748208], [74922076, 5298662], [61489005, 45007912], [87117537, 40860259], [6438283, 45114345], [26404452, 45060170], [79235863, 93038783], [47255835, 95469887], [33849137, 13791857], [35554884, 50940009], [96866376, 29506643], [13784620, 49115883], [6680094, 32936496], [85512362, 49252035], [87541014, 77280026], [43859412, 62206742], [91172399, 26019830], [8583026, 79158033], [53225414, 13742466], [24382981, 89152245], [65683565, 72995941], [60767869, 16746883], [56100925, 53175632], [49160001, 38680592], [88936798, 2309579], [19455303, 99794603], [67981715, 78852979], [45601304, 60922728], [34376633, 27181481], [89293702, 77768846], [17915241, 76813485], [12723980, 89839975], [17379200, 58411258], [72217547, 89142864], [19799635, 25195715], [44806801, 91736736], [67823035, 86416256], [83487078, 6723038], [35578431, 13735045], [49955055, 10476223], [36337903, 3191366], [13218626, 5468588], [56161376, 80421066], [61908077, 76923512], [90739005, 76326709], [39356439, 7864173], [96709479, 62284835], [64046519, 42171222], [19914933, 53684327], [89067159, 51122054], [98049137, 88143076], [96273889, 44726504], [49116200, 66551422], [36635041, 17678506], [12191783, 23160600], [96172491, 60247760], [88290212, 8580045], [8205425, 61792691], [66088970, 94312255], [95838716, 96286110], [65257589, 26927645], [75072383, 75791252], [92100076, 4067257], [45675184, 43903658], [56936173, 80544442], [79253743, 8086861], [40563886, 35188718], [93797191, 66394030], [73031209, 81363147], [54770159, 91270232], [40491024, 94604978], [19633049, 37287744], [82803699, 91019595], [51766912, 6348094], [20224832, 51575988], [59117752, 50148382], [7161094, 71185929], [91125864, 94755107], [12626566, 92635109], [99835463, 61299053], [35800440, 73949265], [35383290, 67223839], [27369325, 7147444], [36340863, 13573949], [6919253, 17915834], [10031516, 20292288], [53589132, 43070977], [81644335, 54985628], [28864536, 71955541], [22447941, 92340732], [48418811, 11540871], [25072072, 62531327], [52129729, 53079111], [35131554, 32670279], [80712981, 58383876], [64593227, 88820495], [1370258, 94362741], [30927198, 17747039], [50699604, 13010043], [10269287, 45427370], [46255994, 58173567], [56078011, 71101048], [84789292, 77194757], [17919198, 66115842], [61238927, 48193787], [87694914, 3851925], [58480357, 97362105], [83168223, 54071613], [74163037, 96637085], [36964266, 96454800], [93216431, 63272614], [33739183, 55767713], [77567268, 66968890], [1387413, 34444977], [46902702, 35702962], [56629468, 98109769], [57366052, 3826991], [765789, 46407403], [31867864, 66734682], [10195052, 82215402], [46962741, 7667221], [94355243, 70653949], [83131344, 78378861], [40011928, 92743892], [75635379, 9542904], [38418147, 97568335], [81834145, 44833421], [65795707, 66538759], [95900343, 34196370], [27865224, 79864710], [49081078, 68485157], [35100156, 76320065], [82413558, 57176218], [61741602, 13801711], [38491898, 17500821], [17266130, 27736512], [14022882, 84427034], [76021915, 32259553], [71032486, 42030793], [27656989, 67064457], [79329905, 9778283], [55097221, 39725149], [85854544, 94532142], [93247519, 80393600], [11076162, 67472731], [56062015, 52248332], [37558891, 97636321], [74206314, 56468267], [1638995, 14396984], [51466525, 72412302], [7451581, 86839416], [97151765, 37623], [16546321, 23715092], [20880976, 56810126], [19685509, 93697791], [31488177, 83477940], [91445275, 45996046], [78312716, 69353875], [86309475, 49450812], [36283306, 20212406], [77858939, 92711916], [3868575, 8128038], [40122974, 68636039], [48214130, 4325687], [20474550, 92833795], [95987691, 91759376], [91612875, 21721761], [76479077, 55631369], [37317344, 39106960], [21124828, 62369283], [26866080, 963321], [10952998, 15329368], [70334036, 17074224], [29651226, 2101136], [72225297, 26335307], [48857857, 10390949], [55210460, 71215713], [8016558, 94277938], [74330547, 35526309], [61623595, 61759703], [92604142, 75387266], [11793598, 33141407], [86411731, 10682240], [26963295, 42199325], [91202839, 5345313], [56566503, 85320123], [9082543, 12806863], [70634360, 1584154], [27857801, 61615048], [24414380, 30591337], [51736485, 88558504], [78902514, 82528127], [50499269, 50957695], [22676642, 88780612], [38428850, 90409829], [87212344, 16155067], [5780736, 63776514], [82868133, 81728055], [87497673, 61440021], [78930612, 53697930], [47069353, 6110601], [5378641, 84871209], [28746535, 67716546], [84091916, 98305331], [35630306, 76245031], [33783285, 62041594], [63405050, 39246529], [31886516, 98813760], [8497699, 87946193], [71764123, 87108447], [67554370, 41368984], [3537184, 4692877], [40291711, 8757928], [66990675, 62568486], [22544811, 44294165], [1739187, 62827943], [37041777, 15470425], [86693821, 54947033], [59268515, 35325442], [37720585, 21991829], [70485026, 49966984], [56024875, 99695617], [20635166, 52200441], [53845979, 46613552], [27610229, 95614150], [10484628, 90457080], [30420411, 69942475], [25764963, 60035329], [77522774, 21135214], [66317168, 64432536], [85086518, 57024440], [43816430, 12154021], [75612255, 78250504], [99306189, 45322600], [90475647, 53647122], [56232186, 15957059], [22157436, 78362704], [82601225, 8671956], [6226820, 15734885], [41808114, 872677], [75012852, 85493934], [63437253, 36884934], [94099292, 7903260], [44079124, 748487], [12660224, 20768221], [37748062, 19767781], [547321, 58049070], [93203836, 73774839], [62823502, 94822329], [52335622, 43799956], [99759477, 70035653], [88855666, 49628875], [27515764, 10385891], [88945257, 67423488], [51788403, 55077687], [70157896, 22067059], [11973113, 66395485], [42228724, 28296189], [11709631, 62555004], [33159897, 12529878], [26766998, 3990010], [21567804, 6357089], [81222412, 75979220], [33800929, 86119374], [44663235, 31215563], [1742851, 88132844], [76760449, 75994118], [10645645, 54245516], [19541582, 25975668], [72147887, 89042868], [40840815, 61968292], [50904613, 73567551], [13274043, 66811063], [38887731, 55701348], [53090464, 31227419], [26367750, 61043969], [47054617, 52033191], [33103985, 15342164], [99656453, 17163610], [289698, 9982135], [72249250, 83557327], [99706348, 5075347], [8074743, 31640274], [33715413, 98336856], [24585949, 61093865], [8922268, 73175368], [33006676, 74652295], [11172229, 34165947], [49103651, 27461615], [55363992, 15534399], [89742730, 22689698], [31880825, 20869682], [14692696, 63169906], [56676670, 76592788], [78935701, 46814382], [99139805, 30622332], [287140, 8267802], [88491751, 79621445], [17586311, 76282296], [67397304, 98336878], [76380784, 72525308], [5256569, 12407757], [49914788, 25192525], [97966242, 20736760], [42659201, 62239961], [67281495, 73304178], [83662555, 81452816], [39963389, 92084590], [20080177, 51122779], [72823364, 32090228], [6874404, 69242090], [48269198, 77657262], [29248091, 62454221], [74987219, 13478621], [78902771, 87752431], [61955526, 44069774], [17091246, 46411383], [75022700, 26721527], [22803620, 79628531], [99454671, 4114287], [95785588, 869008], [20148685, 44014550], [50831623, 27181490], [37765399, 77054533], [22772130, 95737873], [71294722, 84336597], [1597874, 42971334], [33979651, 32350236], [50212024, 82828332], [86274640, 61169180], [91357266, 58849777], [18963895, 76049048], [75674932, 42125417], [93376926, 93410880], [53962729, 14129338], [30935303, 77527244], [90285922, 68696425], [91604801, 50046896], [3239052, 14372906], [15916531, 87009097], [87519424, 45049842], [6706443, 97002585], [9112331, 7206148], [83460672, 14426719], [81621042, 59498524], [41197252, 29372859], [45964651, 58043538], [68441529, 44217903], [57779853, 22856987], [91555445, 34237796], [46450999, 35009423], [41707655, 54285380], [36715247, 68037433], [80007788, 49190552], [55182396, 81732598], [374698, 24435423], [30872339, 32690521], [63116191, 7401599], [23949439, 49107723], [83733563, 31570509], [93214911, 17882036], [63844877, 30595365], [67255649, 79052644], [29251244, 95680745], [84019665, 32781134], [51433984, 40612120], [60423792, 46812383], [54637605, 54827128], [78905311, 72334013], [5766885, 15995166], [96119636, 64050863], [88686931, 11882101], [74979492, 18772043], [95317913, 40771766], [2818127, 17232230], [52508597, 9937047], [15555953, 81405241], [90184584, 36487122], [90604465, 73219595], [70505373, 76795241], [19281096, 58892413], [5001440, 99996723], [91933978, 9185461], [41572201, 11752685], [5650787, 7908771], [36605943, 46052297], [86744989, 75602704], [9876740, 42125974], [96367264, 48607817], [21361012, 41558654], [84319212, 23033844], [99974312, 34114037], [22796247, 99824681], [97639926, 16653598], [27962225, 5123492], [3581594, 10417700], [80105626, 17647093], [85155275, 99002429], [36055334, 42764204], [46241821, 9276958], [21052176, 50659479], [53803863, 66529569], [66005215, 27582718], [38943223, 30114867], [62373056, 4181138], [46407334, 13941012], [98266163, 60904735], [33207605, 82055359], [64782257, 67068376], [66972758, 10366986], [57846283, 69022546], [61183303, 28974771], [39119189, 73062658], [90686223, 91853870], [5803979, 71767250], [92120181, 75856017], [42524324, 96935682], [62192300, 82343015], [62861906, 55634120], [9340136, 28400302], [24342875, 56204954], [16016553, 6112061], [71032217, 92407152], [25719800, 23608830], [87282025, 44270676], [75161816, 53600777], [98738442, 32595729], [77355082, 15620010], [99417398, 24315202], [43031357, 33896964], [96841931, 86812739], [73558456, 60616814], [36370443, 62731290], [43091636, 61306315], [35643420, 68957673], [74527766, 79354242], [66380434, 11277751], [5806487, 37996608], [60091467, 13501544], [24679922, 30568422], [38900132, 28867152], [99718570, 20798961], [14979397, 20030721], [87332076, 80201582], [96131870, 14944894], [76338265, 76533171], [98008573, 94417674], [71945062, 17557200], [83937324, 14499154], [41869301, 11357436], [72097888, 20768010], [10942856, 15690142], [66250695, 84886130], [59361593, 19347208], [45720388, 95532569], [12887835, 64009258], [86000285, 876194], [19780793, 97304330], [4771118, 7746122], [37082291, 93400934], [89135225, 84296431], [67616656, 4397980], [5025203, 15737725], [21568595, 29587048], [2449094, 47676058], [72755295, 86816799], [96348887, 22737310], [55839712, 55527390], [86368676, 99624933], [92345539, 62356213], [75540452, 31648339], [16105785, 39880076], [72161357, 48824378], [82279286, 95802713], [17869738, 80371014], [33560295, 96587168], [57890706, 17339580], [43591172, 46734572], [56874097, 24373697], [28570479, 4731451], [89312341, 59331355], [42939353, 35497326], [38034892, 76357682], [87388633, 14058402], [25283316, 94400332], [24984197, 88755322], [97592099, 43163243], [59057032, 73897386], [11478753, 5891114], [22130342, 97811011], [2029532, 36863649], [25464235, 39540063], [29720247, 28725311], [33838354, 7765775], [8286882, 77388142], [65306023, 38592167], [28452782, 76389714], [63287950, 51924038], [33257699, 26355778], [27365480, 20744121], [47050547, 82746924], [93667807, 24154987], [7408512, 99766709], [65644464, 20225231], [3529730, 29549535], [33582459, 39514390], [77100694, 38280363], [41719304, 92186929], [57334506, 36172491], [35831559, 19450517], [49774058, 87205205], [77375473, 54830340], [53179708, 68630387], [46476059, 20923297], [68071532, 55534139], [2819851, 15254568], [93975763, 75054437], [27059398, 5070907], [55737660, 1890831], [42009974, 70378347], [88373492, 70786442], [51601636, 790812], [89574070, 79956614], [23726874, 43005279], [55612177, 80704962], [55311674, 54808349], [46150805, 31586564], [74651632, 23280254], [63432528, 27328970], [54057467, 76441810], [63181486, 91314518], [98558396, 31774131], [48415583, 18712177], [64030083, 52646045], [50057020, 7286985], [18716860, 53034770], [54307233, 28753495], [34796255, 35022636], [26106312, 48425991], [45936694, 56792020], [22536963, 49219108], [11705424, 49453993], [83486969, 37674068], [56120938, 70713074], [50171098, 1243321], [56148457, 41820032], [79588791, 32692934], [93638438, 6294420], [98091161, 56583340], [54994090, 58955532], [60813781, 24783256], [32655339, 86136752], [11453715, 77727634], [20503521, 11912108], [79762139, 9450492], [61573978, 171007], [90987624, 56147132], [89567868, 49795897], [34333160, 28838863], [86971187, 6584915], [96251465, 39637363], [53312084, 54633205], [46247523, 48149792], [15418030, 30414300], [6347742, 48581128], [48049039, 10852858], [93844270, 3786222], [44736775, 82539921], [87022997, 40894306], [99645875, 51555816], [47491536, 86914427], [89080503, 42787132], [80236541, 51652358], [90627380, 65100411], [57012653, 82041656], [96974226, 39631180], [52744878, 76782910], [19979058, 22306963], [57918297, 36549558], [85592798, 50411064], [36012065, 97728123], [68259972, 51252894], [12304557, 14134795], [38397949, 5283772], [33134531, 20932862], [84440292, 53117476], [40111795, 36949921], [43607117, 85699090], [12585434, 96928582], [83248558, 48577692], [38344534, 29566542], [86440665, 10369545], [49079877, 98421518], [19844296, 20645252], [80957131, 36990644], [70216523, 55294639], [84374362, 90272196], [45642039, 11979311], [77686432, 98296254], [9224697, 7669951], [72337677, 20640364], [65710293, 90379141], [11433771, 78831928], [3917674, 86593672], [22552855, 98460788], [92814091, 42047145], [9929563, 17472578], [75159401, 52923321], [53687867, 58047531], [64097369, 46686397], [81967912, 53924838], [60273064, 92419637], [9078469, 31788836], [1213165, 83856546], [50620647, 55764198], [70033528, 80295859], [65543195, 55688207], [76903227, 52104289], [87350182, 51935906], [89016887, 51225413], [44850861, 93642590], [21959643, 67707123], [15950071, 4094425], [15574873, 95354102], [58007645, 4499315], [81182240, 96420497], [24830922, 37679198], [17050393, 69172820], [1392047, 53975342], [26041494, 16230361], [683606, 85480534], [94506735, 38896559], [34185902, 48179029], [31562507, 2505878], [55838728, 20750779], [2601316, 44583461], [93914463, 98493226], [28135591, 30491808], [22491942, 821713], [30069786, 19810122], [56596784, 69688049], [86265352, 40149366], [92540043, 89572895], [60923457, 6445394], [74379737, 14602961], [43696254, 5910439], [2328304, 82538368], [21435324, 2194250], [76402708, 60357547], [11178813, 54727097], [17431546, 89550746], [21359684, 55721725], [70393931, 2863785], [5129334, 91948088], [83534203, 54201461], [96866697, 29867286], [39237948, 83633057], [11508028, 26666884], [8885740, 49106141], [4691384, 58236837], [64733714, 7146767], [28097065, 17121930], [93339523, 21406100], [61235363, 8718133], [76609790, 62673667], [93113073, 95843315], [40922659, 5666923], [91241135, 82366455], [55903206, 20503648], [97210691, 46114392], [87230957, 85009748], [29466075, 84113746], [15166440, 13259727], [81501254, 62764155], [23366642, 23745907], [89809659, 63372064], [21371691, 82495172], [40326560, 62935257], [73873264, 62109114], [67872566, 82631807], [73609864, 72034364], [74002974, 62310335], [7113941, 85026848], [12962049, 20764259], [97531424, 41939367], [53386081, 60900677], [87268734, 92554331], [38958720, 27802325], [4907950, 12240760], [79457612, 67444631], [42157417, 13313396], [33996611, 55299520], [63048283, 45302647], [43344443, 85261182], [81455663, 27226815], [85906046, 82073384], [59171956, 45486786], [38019562, 45815101], [31350522, 13897074], [72096454, 29283057], [13815328, 96698384], [45788813, 38012621], [51055095, 26631753], [31483962, 36599507], [27253815, 90757268], [86661668, 82892158], [39541786, 40732944], [52780665, 87875213], [74088836, 94644791], [44343898, 575600], [84463877, 86310398], [40395581, 56968111], [51449537, 66860450], [45868679, 57884465], [85162021, 12499666], [8255880, 39365634], [73712780, 68356838], [55581500, 6925007], [52409421, 3393986], [88440662, 23746844], [92924327, 41834146], [35434653, 24847329], [1639377, 28264335], [62513708, 55670314], [69658057, 8411259], [13022385, 45000202], [8126255, 51905112], [55380660, 93095566], [9428610, 40890414], [37702938, 454462], [72726845, 81776445], [68232441, 32942838], [38706811, 35448134], [22789580, 71563136], [17299312, 43773811], [6579752, 69587085], [40900106, 98356260], [63224607, 67039114], [36703550, 77352145], [81071053, 49931230], [4065500, 46318316], [16507805, 75532928], [28738795, 70255005], [78167426, 28344545], [98385331, 48062320], [66037921, 59681445], [40769580, 57035720], [89594949, 43277376], [24660786, 14424217], [16200761, 90856380], [59328932, 56598040], [27414960, 82057874], [46787842, 10898358], [12541180, 18881020], [54887881, 97204144], [83691541, 37944432], [1583959, 31178739], [28112033, 27323214], [56519148, 4900040], [38500445, 90565318], [62733803, 40145908], [75207148, 73435197], [49054415, 36006420], [29177973, 16370498], [2543924, 85601417], [67473403, 33822507], [43052665, 8707073], [92380594, 56031677], [25313193, 13740199], [21532058, 45906656], [45753619, 35110190], [58137929, 16165982], [28046, 89571073], [77277476, 34823087], [88461797, 34623976], [65856857, 66008127], [46578649, 48569703], [78372110, 39266159], [94636496, 3617023], [93235768, 68877931], [28035510, 90190550], [89195051, 26994732], [40581935, 52469444], [93445407, 8540477], [99180625, 60810996], [3030868, 57549558], [52661386, 88242827], [61236347, 96651953], [53307212, 53539291], [91904179, 89421190], [12435306, 51239342], [67554603, 93401584], [13341859, 76219270], [54400830, 90204980], [89404114, 15600080], [93042223, 56288026], [15218402, 24310678], [31669032, 75284054], [91036592, 88673860], [52004004, 98699881], [36894596, 36610879], [61887967, 63320514], [62599763, 35711403], [46115659, 30477597], [84497636, 61576880], [2900037, 23642004], [17112940, 30748504], [72712617, 23509919], [93426002, 96333154], [44959914, 77352369], [83010473, 28261299], [3391378, 25752082], [91190694, 14484010], [74204574, 35983144], [96829018, 89323573], [25367099, 80518317], [526379, 8172102], [30695253, 71101807], [66822899, 35041477], [91687288, 97474805], [75503739, 41957028], [82867422, 1262240], [63474081, 86364537], [47268660, 70412135], [96042109, 6401068], [62345932, 10157608], [22214211, 14859354], [59103271, 71263131], [78264733, 74569256], [40196600, 26982222], [44542782, 4019049], [19060243, 37873608], [10939521, 248775], [2454477, 90661133], [82800906, 18071327], [463081, 84412965], [16424935, 58994840], [51691200, 2474630], [69918477, 91810197], [62330756, 69870671], [44576042, 76165025], [7824951, 81425794], [78005534, 94506623], [40574213, 38567336], [79412745, 55975522], [63406150, 68855888], [46329714, 66027977], [10461624, 21399509], [22378100, 16887077], [49169589, 9869672], [54029589, 83979548], [5456988, 15609257], [41853885, 43149067], [52520423, 92894459], [48861594, 47819760], [68636294, 93208534], [78832950, 91444769], [40319756, 91213809], [5459074, 60633592], [6339052, 10809663], [49348431, 28558284], [80291429, 56215133], [59191671, 45637693], [54080782, 28030403], [50966344, 33034766], [49165934, 28445889], [38465650, 32938224], [56661942, 25550742], [42160543, 25764000], [3636131, 17874025], [13573539, 83190146], [91126975, 16392573], [96020768, 67229942], [94145957, 25644142], [16934907, 98685093], [12973040, 27982546], [81320677, 3351508], [30615642, 12896155], [4631085, 5776071], [77396885, 67384510], [91732348, 74773358], [18323321, 42548093], [99992099, 46969385], [27488752, 13770130], [44973939, 49922350], [55559362, 70466955], [87551800, 30628575], [86667670, 41132997], [44245172, 17918337], [72432899, 11411545], [95806667, 19360245], [27873675, 37521422], [71029703, 32765413], [48383188, 43751012], [13162416, 51278942], [4417512, 53634255], [4979736, 88631162], [83538978, 76163574], [14997228, 58404336], [14781241, 97491147], [59269638, 62180170], [21881356, 71861203], [90022400, 54717217], [25583070, 42937470], [39125705, 62404117], [53141740, 7025830], [7641564, 73796933], [4496083, 63473988], [49178956, 64730642], [23180914, 63083459], [31672029, 44235701], [57406729, 78692483], [15294767, 19503424], [82053438, 18828456], [96570175, 40582754], [56190370, 98328480], [52677378, 76720217], [8109958, 81883232], [48952115, 97072526], [82886679, 27068401], [66249290, 24924957], [7288553, 85534454], [34975422, 12297432], [3605027, 97266722], [6157395, 86485928], [73780515, 42753437], [52884886, 45952465], [53505338, 38154795], [92611147, 37414559], [15422240, 49320039], [9404858, 58908024], [73281831, 7313388], [71460785, 46593924], [71197018, 95419945], [93667340, 59972759], [66845363, 83179022], [14419729, 56286570], [28922390, 25079997], [23078778, 68064820], [33975241, 76042744], [42852126, 8710324], [39568837, 2172988], [83218940, 91247113], [16540554, 84658404], [38875451, 60517190], [34829786, 21337564], [41740039, 4047455], [91850167, 57846213], [56028316, 75635708], [91755180, 68044400], [16944050, 73341057], [51173104, 59299906], [7833252, 44707130], [30963726, 58538881], [20373242, 51242128], [39964466, 38169931], [36249762, 23093514], [62252193, 26328155], [73111345, 92642082], [49417393, 92280361], [55809260, 26347567], [50607175, 16208117], [77298349, 67774104], [3838319, 81871383], [37864679, 42151232], [82646770, 69304604], [8443560, 99605895], [87119865, 94328736], [60443259, 55035219], [57597431, 60713592], [84482263, 13066747], [635264, 8951447], [20050526, 48701518], [53796996, 45345881], [94159630, 81214815], [79445963, 26955298], [24606439, 59885399], [83490725, 79726538], [79836856, 21883970], [15854166, 52444204], [75977659, 20767607], [60196482, 23751266], [18465065, 65158303], [7852193, 74659522], [10688321, 16536110], [25841498, 43003276], [86795477, 26888905], [90269908, 37457366], [78801866, 71453146], [94764266, 77103415], [42018834, 7364648], [52271247, 88435175], [99584021, 47815335], [35706277, 73857598], [12054520, 63293214], [21840991, 67376142], [31785092, 73648468], [93955563, 42158942], [96050897, 70271252], [95173793, 39779133], [30439341, 97420992], [76586568, 23531011], [6275269, 87809280], [43949429, 89232201], [6544568, 13322217], [72556861, 33203930], [68409825, 53948519], [97233397, 23627908], [9201490, 34839524], [48762285, 45604210], [27347935, 20182384], [97289897, 83829295], [18301886, 39533693], [36284965, 41291749], [63841144, 5175803], [56198897, 14273829], [34680364, 46782288], [87915710, 99695404], [47535312, 93631605], [45645435, 86589719], [9367360, 16726579], [56814392, 32919440], [10478133, 20055860], [50675131, 9967156], [24258132, 67284829], [96201968, 63474799], [23659118, 30822905], [41199541, 83949895], [13312519, 75597091], [31869833, 94317860], [36241049, 75730095], [80218684, 95356722], [4118709, 75788057], [7863691, 41572132], [22246368, 30036694], [82386442, 25502221], [70529918, 81252043], [1333828, 79306977], [91172375, 17636928], [20436850, 53798671], [18678004, 91722357], [96319435, 18157174], [20636641, 9527217], [78646686, 43084553], [38949207, 74513345], [80524383, 22516324], [27128510, 94837262], [10668561, 44651789], [47327973, 68934619], [23881534, 80077623], [36555402, 8435836], [88966921, 36864704], [26047389, 25193508], [43202593, 41384079], [860592, 61546959], [77994568, 74460325], [56216713, 15991893], [9945205, 80961316], [12746972, 89755961], [36990919, 6128863], [44474198, 61067658], [41757974, 6041466], [46421587, 94149642], [86443144, 72456952], [36662613, 98925265], [5659677, 31570554], [87758347, 54188049], [66251931, 61134776], [8596796, 77222996], [41344848, 12995952], [219541, 97664533], [64534861, 66522934], [74485777, 4748069], [2147719, 66301841], [73656128, 72933848], [8291475, 36483512], [20072330, 7953572], [97941275, 43774376], [92657252, 67931805], [25034564, 96302886], [39041570, 79080774], [10521975, 86241590], [91982551, 34841359], [88607711, 59389084], [95636727, 38949821], [42158966, 31107475], [12946404, 52693566], [68304866, 76802133], [98014128, 67295058], [84275275, 84505800], [37047171, 56688499], [10171542, 70416229], [57534429, 42749806], [29602226, 45121141], [57173367, 29634655], [44722969, 99280151], [19619114, 50496080], [69614724, 96189872], [17873674, 95453130], [68412234, 50473261], [35982957, 25179696], [93416858, 70111768], [29978923, 35766921], [93077747, 79288982], [93814636, 51289714], [43661884, 98317969], [32651622, 79218018], [63705777, 96611139], [63381226, 32332550], [85081975, 2651373], [44954788, 77349387], [18073516, 98267375], [66097999, 7042060], [97665441, 45965166], [91621412, 14562031], [92857719, 82113516], [78379795, 58305189], [97101999, 36997844], [73773835, 72118278], [31755309, 64752395], [77602518, 73347295], [67532151, 42648623], [95429008, 25654954], [8450055, 69856971], [83036451, 28884700], [20767580, 83085648], [45034000, 44655033], [74904901, 11273809], [38898917, 4048223], [92893704, 47329867], [22621267, 35578140], [67451064, 64135726], [32232838, 50392656], [29590447, 6477306], [1645505, 41244278], [46101057, 48702204], [71545810, 14724731], [53175644, 65019931], [34792796, 43350575], [54771150, 1059291], [68501460, 2662881], [29214912, 28353010], [52466341, 59521170], [82363443, 31457061], [78855635, 11474740], [80604021, 7388621], [32881317, 83039332], [73170188, 59634822], [64985781, 46958861], [65851093, 49254423], [95274861, 17280687], [73123276, 23141226], [87583158, 72268108], [48171408, 77099925], [56506647, 73893700], [16780886, 32392356], [25551446, 63877093], [64103840, 37841962], [81992882, 58526612], [31629009, 84002273], [22384771, 93554056], [69692418, 88488377], [71674405, 11126997], [64761201, 94203220], [14702530, 99873452], [50701436, 57362742], [72825659, 54708446], [7442442, 91389826], [66519237, 43576740], [15647774, 66944003], [42682572, 60621094], [31327783, 16289872], [20037304, 24939503], [60981929, 11620410], [82190209, 50113645], [51074862, 94880340], [31275740, 10799207], [99346717, 19806297], [97179798, 60451606], [90554049, 32638285], [63802401, 25551489], [35816640, 93852078], [74297767, 51253087], [59721314, 37833618], [58428462, 57170902], [43394964, 5793791], [92152708, 95618375], [70789179, 93496722], [68954271, 47396113], [18956812, 47414163], [76544013, 59801809], [98596645, 21858386], [30768443, 63551385], [81965634, 30590726], [94706213, 26620460], [36833039, 25898599], [27047017, 76668675], [52838546, 51761825], [96354500, 62259399], [20840655, 62759251], [52116080, 12604005], [98275595, 40309994], [82569661, 88756137], [7467715, 92464527], [45311656, 10915795], [2136340, 67688242], [39793069, 13470600], [2877104, 21376186], [11707928, 62217931], [26794196, 68965508], [4396762, 23113898], [51545620, 69206426], [58611921, 58308717], [57056131, 71366029], [32766570, 5524712], [77108010, 52611888], [41768231, 38102754], [47403216, 64434314], [14284174, 63223590], [19133778, 4916886], [622670, 71460143], [43491184, 11777749], [54715408, 64476849], [91953019, 77493393], [93559638, 52322773], [28157501, 19614392], [98497399, 31201181], [45993901, 1414079], [60762173, 45484198], [68379587, 76888763], [83659539, 48538876], [3499199, 757429], [10409112, 31056058], [40036385, 76371951], [97695182, 21886802], [26401900, 12396718], [39961612, 90731806], [55782485, 58596072], [5716183, 40694577], [39673445, 74598638], [23623146, 7892790], [63117950, 48181083], [60526587, 72501048], [7808670, 8461092], [13018304, 66901085], [23180058, 59590443], [79926342, 54678164], [94971856, 78618400], [38693999, 77859592], [7207018, 60446084], [64859244, 59090243], [13698642, 22991272], [36834520, 95968303], [20382162, 10316574], [11714595, 49388154], [12333410, 88201629], [649713, 13837526], [46248650, 31971202], [33539657, 93213268], [22765206, 26345165], [47950409, 57344552], [42181337, 31512172], [84368685, 42884984], [44603132, 32122565], [32381341, 42757993], [71117992, 22301443], [65234382, 87358478], [91992674, 87703708], [69361287, 58655518], [8753811, 60465417], [54417560, 66176001], [78113203, 4928638], [59937780, 84028471], [59962601, 80633266], [61558334, 95974919], [59496476, 19407118], [49771975, 27314266], [28272001, 90098983], [30886060, 37194985], [50363776, 7264643], [55738449, 87953055], [57078986, 18444662], [83731145, 5241201], [36475501, 76079475], [58320195, 50045204], [73791934, 34829533], [12513893, 48953395], [39084223, 62470309], [45675888, 47668860], [20082349, 6896968], [58451777, 36838618], [45932576, 9043369], [11851921, 32082982], [85743031, 21221007], [45422605, 22522422], [72888410, 63439305], [22254283, 18153733], [97555420, 86339842], [95863585, 62808680], [6586556, 33326822], [22364056, 41170382], [10289279, 20430887], [46544051, 78303899], [29532456, 74392589], [96613409, 56910956], [22482263, 51713187], [2367544, 14137489], [89818470, 99112513], [80813164, 47351216], [10156474, 12718194], [83023296, 62198495], [33593518, 69116034], [87137433, 41643550], [59824744, 74534201], [98268129, 16508181], [64971072, 99610679], [14134674, 71640523], [43048512, 36284997], [6859844, 64347358], [13729381, 42121261], [71200790, 28503316], [47003598, 79615621], [90298869, 52961547], [12217580, 11937917], [52162588, 47703545], [3753119, 43947563], [90639709, 56460182], [80623100, 48977783], [78573481, 93981748], [40777146, 9302544], [38777490, 10496363], [29765347, 7583602], [46033373, 27418406], [58400567, 63625483], [72892378, 51291972], [45443922, 3009235], [2916248, 30275082], [18079790, 23993408], [23126920, 40346163], [31242626, 42556184], [60255924, 55936074], [900102, 19029274], [17165288, 11065329], [70424988, 18261944], [18251413, 45095030], [12237298, 38477960], [86651227, 10738032], [99926699, 81118662], [64249369, 16718305], [57131747, 53732943], [72641413, 42677572], [51285716, 76829700], [23909698, 32261278], [40010706, 27457102], [17605462, 19558261], [43759927, 59066972], [84274884, 24405954], [93864014, 80584241], [33412581, 28037166], [39224788, 3894507], [78721741, 76915190], [93162683, 83210782], [59330234, 13584133], [31177634, 81726054], [72470950, 86887568], [42180237, 31868947], [50450016, 6819356], [19577430, 99595805], [10284590, 38691158], [36524309, 14756637], [34178128, 22380129], [39153271, 7962891], [69536168, 59837496], [57039125, 52967717], [7398719, 62053990], [64228115, 76286569], [59249039, 34661153], [34013428, 71307091], [35438731, 84603143], [66829081, 99141552], [60610257, 37654319], [34373309, 75159890], [36313104, 18001757], [61877023, 64784041], [95569263, 94559930], [22723821, 85024056], [94856515, 66826263], [78313459, 74332673], [28562902, 41412669], [59270997, 64377165], [25067587, 54410374], [40904595, 79311261], [90553179, 78700144], [55473421, 55856264], [99847610, 86721016], [84482884, 57718864], [2195958, 68606874], [81423004, 27621287], [22357057, 53162038], [39431365, 26671049], [9752270, 56309902], [61295213, 70347242], [25308825, 1980830], [69166818, 67677413], [35214494, 23039482], [85696376, 93687094], [17140653, 94855221], [14342726, 73911419], [79294056, 50634047], [59689419, 93002817], [95475087, 54798817], [54137110, 7887944], [63056699, 85613642], [15560439, 94576118], [66999874, 69257741], [54694584, 48521381], [99788438, 3736109], [60021591, 48170575], [23699891, 92690895], [22309743, 17072816], [54117090, 68039188], [61409440, 56553510], [8076919, 19879762], [65923860, 91775783], [830552, 10901833], [53558242, 61142914], [23981694, 65169119], [90822226, 30323120], [17421377, 17171814], [6224249, 68627904], [19409406, 37786775], [36019478, 90742126], [40924844, 3149427], [11583596, 32994635], [61555661, 46093356], [71339314, 66961541], [96319570, 137938], [21956443, 18753186], [38640761, 8096553], [75616006, 71829678], [94244801, 97476613], [34483229, 57776226], [24510801, 35039518], [59544169, 47715684], [31028529, 30444677], [80606524, 3243888], [82111360, 44576858], [44026588, 58122959], [79303954, 69924516], [28801479, 48820687], [13382603, 14999039], [72907403, 11423092], [26835233, 40424456], [59493517, 68605174], [74774983, 69067380], [42750930, 16192910], [59479037, 29752470], [65458126, 60323509], [62499174, 19058272], [86856741, 91707362], [87975456, 90839592], [46948632, 87235997], [65551852, 37242174], [348785, 37640331], [62197783, 26596327], [70505438, 34317410], [35891897, 72290997], [26890728, 91319136], [7792957, 81704029], [60011050, 78420461], [50229376, 56545964], [67107103, 92893934], [39700714, 41210066], [15654790, 85817106], [37919307, 38334444], [29665016, 77934936], [12482096, 74551543], [40211229, 40798569], [6457576, 58984191], [43936295, 23601704], [47727740, 14773181], [25702865, 77946042], [33046030, 23646485], [14817549, 77744646], [63073901, 72405623], [2195466, 8493526], [33922421, 133756], [25430526, 51732472], [57204951, 11465758], [67436167, 95879181], [27665075, 93580562], [87014998, 48181151], [55834945, 87591049], [11622677, 23877224], [31908142, 62682608], [10241585, 75672451], [10766835, 12952780], [2633234, 40381784], [22620864, 64911119], [12663525, 61794717], [52943826, 74415923], [27247127, 95527067], [25947762, 36209740], [20439287, 15542707], [36580231, 17870735], [2923744, 73691227], [32228569, 97756236], [46147702, 48644824], [60755674, 52072464], [96422574, 24163454], [13090357, 99799153], [45651054, 85383518], [44434212, 44622629], [27281197, 22069512], [86998196, 35349914], [78883555, 31321463], [81954376, 94558777], [59193343, 22168086], [60215116, 70827454], [50176930, 34137434], [60758998, 128335], [37099621, 24301447], [96849397, 6253319], [87620561, 82744739], [41794609, 84480433], [36636472, 77129928], [45436210, 33514495], [3716702, 19659719], [47932069, 38339816], [62458840, 88773037], [70289688, 13068984], [73372338, 1528810], [7239216, 20331244], [49410242, 24997286], [47438825, 97335949], [26889150, 39998870], [75126911, 73982891], [7784591, 2665461], [88334186, 79221138], [2780591, 45085358], [9194952, 90888059], [2764058, 14784536], [15369187, 82265227], [97479492, 80307663], [13962242, 87617813], [96452919, 79876289], [39479034, 79056829], [75769048, 50726959], [55790763, 92559978], [95607669, 66546201], [93418729, 11253489], [40103038, 26096652], [41838839, 41478106], [62606824, 44647563], [47030397, 90884669], [62065633, 61074540], [88352993, 28193974], [95376037, 42264297], [3828378, 85293333], [44046509, 19217080], [71970424, 53338798], [49183365, 76854266], [32950106, 86876625], [20952493, 78624499], [3577893, 69197251], [96004240, 96085358], [6423111, 69943592], [69542268, 27084848], [20828291, 27488112], [1188463, 63628825], [69868992, 80141003], [69561649, 29665276], [90306792, 17037612], [31857205, 54110761], [49299787, 48066602], [29600040, 27609186], [28787437, 74012601], [20748732, 67609200], [78968437, 73460897], [30561716, 99816528], [52846438, 35931806], [63678695, 82163483], [5938924, 55996817], [23517722, 26433539], [64526396, 99068536], [54367967, 51532276], [3245350, 62947690], [33670622, 4145012], [45253291, 47569191], [22905542, 29759175], [98130990, 81027401], [65879254, 46581726], [68914837, 91593214], [96291290, 38192910], [430842, 68221330], [43951703, 75042511], [92024993, 84947527], [39575059, 11168750], [10882747, 82797155], [85414861, 69252686], [48669700, 80974152], [95225656, 42402178], [46978307, 40835815], [92311582, 79142633], [44022227, 27983049], [99697976, 35217144], [72415998, 53828638], [51100174, 43251655], [40202382, 50097149], [55678416, 10242469], [64792589, 8414391], [59608855, 30792649], [71036974, 7075506], [87808150, 47970189], [65501225, 23510167], [65369908, 26180891], [43212684, 55919892], [79106150, 80529467], [40694133, 54083407], [27981235, 74976049], [99238214, 42982325], [21247956, 24343798], [92109447, 45750511], [23644148, 38325504], [96243773, 40320222], [71512943, 52710768], [78358668, 75727417], [44707673, 93771530], [98738142, 26351324], [92247646, 44306845], [70257792, 97383704], [49242479, 99662934], [22781921, 41740226], [59845059, 89137130], [6354777, 185216], [6208038, 49852802], [33856139, 21151611], [21636576, 27012765], [11054948, 71617117], [27921823, 35192177], [78226396, 49457829], [53465954, 2790137], [90179706, 79856703], [48378177, 52176159], [6935622, 70247066], [17051966, 52058449], [8718713, 51052298], [22986886, 52889647], [20408662, 10163506], [49393189, 39954063], [33108436, 29176600], [46348748, 97996747], [67349449, 65951143], [7391466, 25761414], [4286233, 68912107], [85625355, 28873250], [8922272, 26861271], [33609560, 27631334], [91799733, 91401422], [4385110, 70409833], [61066540, 55848135], [15749763, 85750079], [60988070, 22722696], [55093740, 72969900], [33022639, 48144740], [53880626, 28752005], [58196694, 94565355], [91072633, 61055978], [73826316, 78933623], [62833347, 94685817], [55387445, 89274397], [10846209, 59238507], [2551437, 35887636], [11145883, 87875277], [76975389, 91728550], [18137287, 68563212], [84966739, 36905570], [88661190, 61682821], [58866106, 17584968], [49324169, 75078301], [29598075, 65555724], [47860398, 77784546], [55584714, 18403514], [35661375, 70995848], [80605030, 92231880], [53982181, 59889818], [79455622, 99655232], [65489765, 80622215], [11373156, 68925732], [65347819, 36113867], [67893865, 28321394], [72002169, 91246032], [91298101, 63021353], [52010489, 35006928], [87174810, 47470760], [42306, 81869372], [79287646, 41557052], [75983081, 86705596], [2860568, 73089538], [58674283, 85968524], [43220856, 5346530], [62572793, 81031377], [89326898, 32499126], [73589483, 58680368], [41471114, 48578374], [69493639, 68079985], [58063116, 1644458], [35043623, 2237936], [20830054, 69244326], [44614515, 54846701], [82288599, 97622366], [61415063, 1835148], [9727974, 37415385], [60664035, 90809746], [95211375, 71731657], [75169587, 6792935], [28603836, 55452561], [5915868, 89844428], [17967969, 70767439], [67304926, 35020160], [59867830, 62672205], [28041458, 48470925], [96786690, 30405488], [95179641, 28016121], [33335204, 65918534], [3454171, 29033076], [5258831, 41678673], [15533886, 3387994], [62101445, 91992497], [43467727, 96260645], [56681635, 12629016], [40605447, 16265645], [42804820, 71461548], [35533880, 97104381], [15040716, 38470257], [18155915, 9969520], [72337602, 29292647], [7800976, 31004231], [81619012, 98657113], [9693081, 56461713], [44354888, 19574963], [23304853, 78476136], [15252681, 36387288], [32529892, 90417181], [50843064, 85455888], [9705013, 12892792], [3431193, 1975926], [70172187, 20844773], [37419298, 66830784], [12199435, 21490751], [64324052, 273088], [67580633, 13157760], [86086635, 19389591], [46852140, 19859999], [41605548, 69935646], [19359993, 82532046], [89026904, 55644120], [36387595, 77782816], [13403519, 10459847], [43823027, 15880091], [68385487, 58335786], [25625521, 90416457], [92299075, 42962631], [99005445, 92640304], [63583345, 73616458], [63188138, 84027365], [65553700, 13636637], [17287985, 89639956], [8544989, 19535488], [94699199, 74848234], [22922322, 77316177], [25147926, 9807211], [53399392, 60906376], [76421457, 72394537], [4438198, 60071044], [94780315, 76607080], [51240629, 67168517], [97555801, 34805168], [20131696, 9368], [37689708, 55000414], [1158211, 90453251], [54232844, 72612193], [35061243, 75566791], [68421008, 40154545], [30872169, 71495360], [2561448, 75720821], [24801328, 46804169], [27787869, 66995596], [5015115, 25449297], [27034206, 57870021], [71334974, 71470501], [80203281, 38010949], [22579028, 34642168], [60351961, 83683060], [87080281, 24816919], [19902052, 19230922], [91196979, 33726297], [81461445, 64655029], [40529910, 57431349], [48157152, 59485096], [36010007, 13189582], [90711350, 41309534], [72022809, 76655010], [49482947, 54970689], [41236749, 55084551], [24063269, 57651597], [88366354, 67355728], [87392337, 85104393], [17725496, 10772790], [40189203, 86663715], [18228911, 16575140], [55092970, 47851118], [11093269, 31988785], [71539209, 5783455], [56848089, 93251811], [99393038, 93758157], [64357231, 49122364], [91430344, 46998817], [20162419, 34353508], [94465606, 62014888], [39309505, 19964234], [95193388, 52563313], [27832262, 79324965], [8300623, 41284357], [14850519, 75523721], [2477428, 97652836], [2331296, 16382573], [93131761, 52429328], [18802397, 15412030], [72449556, 43400466], [6360465, 22164780], [74185050, 86508717], [69513712, 89277868], [49363332, 30265221], [74914740, 8735027], [64424971, 62448512], [34021382, 12559152], [95553804, 42835427], [49127003, 86713489], [91648941, 57393961], [41794109, 31769108], [29443772, 54575888], [67582466, 6775068], [85367346, 50026757], [75385041, 72621647], [90247892, 77085593], [29214291, 35131028], [36933719, 35433804], [25572000, 92758896], [29774569, 73694516], [13861201, 75766863], [28100368, 70167416], [45026581, 61531801], [648281, 53044905], [75728580, 45369542], [35924979, 71222163], [9874982, 51008141], [7126249, 94399240], [58707666, 35987364], [77810481, 11933615], [58401386, 15614482], [91571091, 67856527], [70716255, 90787940], [57066732, 67993697], [91899233, 89590], [44887131, 56637957], [67508969, 68944468], [72867910, 84462264], [84868255, 80583680], [26490664, 29528659], [82440581, 76591134], [39052304, 6849218], [5939734, 90981753], [45487557, 67301737], [50818557, 90028438], [13325596, 5138863], [1508243, 80680230], [83233404, 12206603], [64563071, 91708527], [49267399, 71489492], [40737338, 45391260], [2856526, 20629770], [5833605, 2193707], [86537078, 33482532], [84082132, 79595989], [88070672, 89734061], [91395757, 78340908], [74310420, 51883265], [70395993, 45112218], [62463174, 73774318], [99580974, 63791427], [64346035, 70614735], [90360754, 91931926], [37007387, 23735650], [39683878, 41825112], [32651359, 34779145], [96360818, 29581485], [47608669, 74433906], [34797983, 83257137], [55696377, 76164347], [54188491, 90394134], [30157351, 72783959], [59302345, 59932779], [5474957, 47483134], [38867497, 52975685], [20448205, 58585012], [48172550, 36671572], [62772789, 86782742], [24414456, 28020288], [45069659, 61062270], [88375008, 72442578], [21230981, 48886617], [93068895, 25354853], [79656933, 68495567], [23910452, 58270956], [84619844, 7703987], [83628724, 80885265], [55728085, 47807886], [39970947, 5069240], [8871935, 91565429], [64968139, 79053325], [294311, 31549952], [87666396, 54468517], [6869811, 7662156], [20251054, 64650237], [35940869, 40201266], [23068183, 10998743], [88403129, 10103440], [95356883, 56433570], [18391370, 86458138], [51918829, 68109547], [27777119, 5010778], [27266440, 93670834], [50031217, 94492081], [76219005, 93481573], [94548253, 90358265], [59388137, 88781813], [89699230, 21505735], [51139643, 6719816], [73179906, 43837544], [64666481, 5944639], [92308314, 15262497], [56727417, 87063199], [66218421, 57162400], [8481843, 36133731], [39990605, 60012181], [60870824, 33300568], [54039302, 68262303], [42114133, 77081834], [39818582, 99685737], [87616488, 24057270], [48477551, 48543184], [41252921, 24664567], [90082738, 58922611], [35941678, 342332], [29030700, 28760584], [23163155, 34779137], [49901057, 20991259], [79394941, 94186319], [23094938, 80735399], [24925567, 40798617], [37109286, 98710531], [50754945, 62781528], [19716493, 80795110], [64441143, 8440500], [16437013, 18247756], [8851874, 33345965], [91633031, 7743263], [48316483, 86921697], [51070857, 47981040], [11890554, 80763596], [88861178, 93145012], [52094197, 48883342], [27417358, 20340622], [40218576, 5231529], [93760184, 74277058], [99916224, 56865427], [49441653, 2720087], [20237191, 19630607], [56708332, 1101432], [27719306, 20846459], [39472833, 5632765], [50033127, 53621340], [22537648, 60361200], [99413619, 95744933], [45431068, 19304273], [85918661, 51008820], [11680751, 70644696], [812627, 82838644], [71745920, 2674650], [95309930, 91574890], [68590119, 51816571], [6474833, 8720681], [30714065, 10731348], [13696793, 44521909], [10339613, 29002847], [42184341, 71143909], [9160149, 19580968], [71395912, 55900815], [35589849, 99023712], [76359001, 20821803], [61041979, 39095342], [33173780, 55153607], [8392097, 64996143], [16608612, 22520976], [14133255, 58262869], [23349576, 22158773], [64488275, 70244142], [23046783, 22336872], [61399165, 10828101], [57430993, 79973479], [41942508, 61403255], [18104327, 12537739], [19997497, 23122560], [58520117, 83383928], [69828554, 70339832], [97988271, 45341376], [13717766, 93386869], [11455096, 47949233], [61176281, 47960803], [10688912, 76272199], [7388872, 95366831], [20461880, 25298205], [27312394, 44900358], [63922712, 20908861], [22610947, 56662370], [9688659, 64092569], [15876452, 92369440], [90298095, 69650481], [72566579, 87818245], [3729665, 87739677], [47520811, 83430557], [84263121, 87871164], [5544516, 81179853], [94033066, 90634809], [79578105, 51131714], [18299974, 86828867], [80867559, 48727719], [75220025, 66711370], [75075376, 11078863], [26740210, 77964448], [45427002, 65665207], [14974322, 14965421], [62304518, 56865120], [78066619, 10156188], [60304987, 14660862], [6927584, 21643382], [54621466, 93609089], [47327589, 36003812], [75518940, 32284719], [15775727, 10597236], [89216812, 15898537], [85170627, 62592255], [12446681, 10079743], [58679586, 82044389], [89944792, 74856890], [78863389, 93511682], [33608301, 4894074], [478668, 67398421], [92488453, 30674986], [54163382, 78683928], [75416037, 46300026], [30328413, 91594342], [7652953, 58376087], [53244457, 7149326], [18073647, 82037334], [77022492, 53905638], [91920560, 99842493], [48412998, 29470247], [5921344, 56576615], [6686503, 9604517], [63154764, 47501240], [54761578, 69472770], [61021116, 14316157], [27058303, 98876689], [26479972, 65678400], [20092032, 33221134], [19360562, 92915356], [69876916, 41020575], [44987032, 773480], [19198461, 63397242], [11260782, 72524781], [54080296, 53582391], [88572313, 72227832], [74490298, 78434362], [483957, 76661826], [50069088, 38200756], [15787949, 87889279], [18476824, 11446435], [90318365, 81432622], [40141773, 3617971], [87509288, 83537561], [1186075, 32025593], [69170047, 28446040], [26207927, 86644542], [73474614, 33005564], [77641568, 73122564], [46989246, 7447873], [94594250, 24188475], [46437326, 10960570], [22535355, 12665418], [80146633, 52081741], [28887216, 4374348], [15729716, 66814297], [40189720, 51485289], [79603905, 31881483], [51397956, 80601032], [55426831, 55304523], [98168702, 1274241], [64099788, 87141915], [88944263, 11492379], [72403223, 39558487], [90058338, 89408332], [67563522, 21764747], [2559807, 88536704], [90736166, 50522996], [36672564, 64755970], [74404698, 50944860], [1457816, 6236649], [68818072, 34342835], [34260355, 82913358], [43461624, 52354544], [33842164, 15575560], [94252707, 16237677], [45179557, 75779923], [77929827, 43690323], [36745335, 86772493], [82903750, 54490441], [18853855, 5843125], [56710314, 23227418], [74353076, 58066191], [81070907, 64899877], [34194603, 5093489], [62917809, 57672103], [21771948, 84718255], [49773710, 58119865], [16927918, 76040424], [92524337, 12480470], [69048138, 78294608], [65061804, 47063385], [61767846, 47652301], [19028132, 66816734], [95374719, 28820349], [5316741, 80993400], [54336313, 24763609], [54599148, 12930664], [8568104, 24995132], [57263424, 54821575], [44601671, 97999400], [47458008, 20593234], [40197138, 39704164], [69879259, 23358697], [74053645, 44836374], [97287086, 71857564], [44261921, 42143066], [2373036, 18128462], [51671289, 65344695], [45610675, 23854639], [23368100, 8566440], [25827661, 6793142], [39193183, 85663563], [5595354, 39983282], [83626404, 1186719], [42332039, 87381395], [98282003, 64764619], [42761784, 77155686], [79315245, 21880212], [77126800, 66823519], [90873537, 21854428], [81442289, 43935129], [19887465, 6193204], [82833594, 95733453], [78617641, 43148205], [58454457, 66705110], [36041443, 4592191], [15183779, 33435950], [12015227, 55516988], [60783442, 29548336], [22186616, 38421723], [78368922, 37691131], [1001879, 91145128], [26634280, 9227673], [2263771, 18935840], [16538133, 89787059], [47243438, 24400069], [43479823, 67995344], [83885262, 91876982], [13775274, 35561459], [69645651, 18801678], [13793472, 96067743], [65097203, 47683396], [5151826, 72679315], [7488779, 48159041], [25890948, 41623249], [82668661, 97135910], [72417701, 97034874], [74793859, 14761355], [7409436, 66041232], [42355718, 59265429], [56751301, 91560375], [73510327, 9966761], [9726607, 5439107], [35058629, 68744019], [1819415, 86029810], [78714590, 56826148], [77268642, 80235049], [20121177, 94515962], [72010585, 15002950], [77801155, 5045966], [92305155, 41121745], [77048841, 547516], [36405748, 94373749], [77051114, 85652897], [78327053, 30136076], [70050490, 27043897], [480255, 12442114], [67773507, 60998684], [60779127, 98744293], [24170332, 9910457], [3442769, 81525113], [65427878, 83790547], [75551222, 98692162], [72450000, 86615047], [18806482, 25669247], [91743664, 56760975], [11214309, 76670948], [69196955, 44311317], [84925183, 88189417], [25548566, 58581163], [16285241, 53612971], [5644907, 14752573], [32058731, 18093847], [72360615, 53589884], [97931965, 53620358], [39797497, 23662600], [90572509, 51812446], [66631215, 82882590], [99812236, 69330993], [24179494, 2698777], [44052452, 4709487], [73391620, 34726089], [56163177, 86924050], [3510987, 82305240], [41375816, 27754632], [29451941, 99963204], [90032489, 43450460], [53497669, 7193635], [90712562, 43312557], [96442945, 94954525], [23718243, 31367682], [43510956, 67104472], [29475069, 88779702], [29452805, 44115483], [60271830, 74184356], [8144480, 55128900], [19335246, 13810596], [47218276, 6908552], [85897702, 59680275], [38636504, 48965294], [68863062, 67976446], [63112597, 42532324], [73887014, 57875951], [7067469, 90074406], [88526393, 87387767], [96203484, 93633276], [9780184, 12502837], [89209931, 1214967], [34276702, 71600699], [54184439, 81272184], [68934126, 90450294], [61595908, 93704124], [56449784, 92928971], [89198941, 18742525], [92194959, 83471423], [83364214, 31231876], [2759502, 58797258], [32878458, 65039661], [62345014, 63930919], [8211173, 12078371], [59465256, 83237592], [93471423, 65840794], [1817168, 93897304], [45496530, 59113087], [82303483, 82293734], [65647778, 64861135], [66204033, 78577151], [3119379, 59187422], [63049830, 4611171], [38772691, 75184694], [19584785, 13979922], [72673423, 49854940], [71754529, 2373050], [15335988, 10939040], [72646812, 31952084], [34707852, 91730840], [33707544, 97181366], [26045586, 30551039], [22035004, 8072643], [98970877, 78634476], [57077224, 94961370], [11619983, 5893712], [17171232, 7654159], [55625751, 20878435], [56117686, 59114378], [3285037, 90420710], [44556647, 96876852], [40583825, 54547467], [71355071, 82074888], [44703576, 70892157], [10725571, 13012861], [38485562, 37610796], [80403266, 77846233], [11530158, 15187258], [27879821, 7052204], [8453385, 93575825], [47195182, 18960747], [68352036, 84474312], [20177611, 93618543], [91342719, 20898819], [27185967, 26292407], [15979203, 50713739], [6790056, 70206858], [3470547, 97080924], [76324243, 38529224], [62091457, 90913716], [84714945, 25217096], [83398732, 48727411], [87991545, 28609439], [49577037, 36524667], [49834751, 59002252], [38560156, 84957829], [93249500, 39167464], [44222448, 62255908], [43723739, 3869598], [3356205, 73544031], [3733600, 33303308], [12822272, 31488825], [68674808, 38116385], [37051520, 6270450], [89063687, 67468418], [4699718, 50544904], [88494025, 50739912], [21714174, 66420533], [31823453, 57316962], [19103599, 37377477], [8218856, 71500176], [5008898, 58193728], [57383309, 84962009], [39424366, 12065752], [13509392, 56272469], [96441103, 67254158], [77111711, 96594362], [26066510, 30609684], [72653396, 91497549], [82875772, 83741983], [36662062, 11961754], [77806874, 15423919], [23062490, 70676738], [17784592, 18318346], [80607664, 55952380], [98735910, 66170188], [33032931, 53311856], [81094176, 860586], [54523897, 45834590], [4657281, 51724612], [32478602, 62918567], [34401756, 84367786], [4237174, 99608914], [73943001, 9054106], [98709611, 99107396], [60828186, 31884366], [47466136, 24824738], [1872606, 73558640], [74899315, 62996377], [1769384, 12881381], [60907839, 37930410], [49250489, 47845405], [80562304, 96103822], [314112, 6874857], [76208623, 72568361], [17144717, 24152453], [35723240, 30818936], [72058774, 32644659], [69306823, 54565762], [8910306, 19335130], [47294589, 26297704], [61537095, 68635091], [82624920, 44408081], [63947331, 19916574], [38141753, 46891751], [9474259, 61518323], [29736022, 5248049], [58005844, 63636945], [29077188, 62935811], [96411866, 96641745], [5629169, 22794550], [20327691, 83460581], [33552924, 92708141], [27880937, 14502403], [66087649, 82733813], [49356803, 12231265], [82144030, 71311136], [9003823, 69544667], [2891921, 67889017], [19086652, 32769670], [87944205, 79190431], [81051528, 13603515], [90270745, 42572072], [41060181, 61299833], [99480410, 65546844], [41769802, 292047], [91362839, 258426], [7545987, 46307665], [50485534, 7064314], [65298404, 23383541], [16858012, 90996889], [37350221, 78856356], [97623628, 65822720], [33853126, 87191223], [58433516, 34407983], [20955201, 7172555], [95446665, 82697324], [94841245, 49128246], [33982263, 77230182], [3591643, 58251100], [83779998, 49702851], [19408652, 5804414], [55389659, 2503914], [12209945, 58839139], [92299883, 22946450], [67157732, 37865131], [64649811, 29602669], [84990874, 11766172], [58978461, 56100197], [61175120, 61344452], [96574476, 83218131], [56557840, 90439665], [62726815, 53070357], [85013336, 56995798], [47421410, 82580343], [46253774, 72489787], [85746664, 41227171], [69794790, 29000825], [90638692, 44393554], [26550726, 46247196], [71936879, 9358716], [17318503, 23840336], [24243466, 35402972], [10881064, 68204280], [9869545, 62842730], [25309737, 13644706], [6685060, 14004646], [76669410, 53901836], [10929714, 47658051], [33892852, 63719597], [75117697, 19015336], [4851851, 66140608], [70084664, 67963864], [56424437, 55196490], [94064017, 73832725], [36747596, 74651046], [78477220, 46599283], [65092483, 53001333], [7692588, 93729334], [51573736, 7089873], [58514346, 14093344], [74267405, 76527251], [89730460, 41487350], [14248656, 18984215], [78001452, 6260200], [22781628, 60824174], [41159187, 36355458], [80981872, 16338310], [71953130, 82493985], [33798628, 65524794], [87082313, 43321106], [884338, 5084839], [99393041, 41905580], [75974925, 97347804], [14790267, 24270849], [87885544, 64311417], [25857737, 12531818], [30856113, 18576686], [90982957, 81072300], [88296064, 39264562], [30356874, 69648085], [65322235, 74299551], [71863377, 33492675], [61193538, 9253394], [68929684, 54706960], [53190788, 7108589], [57359182, 89470092], [50218788, 23215044], [26218647, 93710258], [67187667, 6568766], [3469298, 60829678], [34384203, 21424483], [62061529, 35059982], [46410212, 81624724], [42152557, 61258790], [78317212, 52440976], [67511382, 99364365], [25100954, 5278320], [20361774, 33079321], [77988714, 31502112], [47151464, 31624341], [23356110, 55132903], [83825392, 1327493], [67107495, 27390766], [38670728, 22427817], [3688503, 66637065], [5571745, 16750867], [74981255, 56122681], [6692649, 88433723], [8392921, 26698762], [76166756, 82572479], [19230268, 60568033], [29078572, 93614538], [43377036, 1679303], [26186515, 58159751], [46294568, 11212406], [78570368, 84603223], [5508085, 46735607], [11614557, 31879508], [49451795, 92648607], [76518560, 37148556], [25759703, 18909913], [76317719, 29864115], [48079092, 52016747], [73190280, 8948457], [48987131, 71372804], [13561081, 78860521], [38510076, 88518380], [92195444, 9610741], [86328168, 73616877], [67688664, 83934361], [11646811, 98736272], [69688372, 40897792], [7164691, 22871869], [31291577, 56367932], [57796417, 59782563], [3913229, 15341332], [20562115, 43104052], [25523395, 83221718], [83386260, 53849231], [41330769, 26658822], [70807490, 58815966], [12741077, 81271429], [3271346, 76866372], [7977679, 90038424], [94505711, 66376795], [36795594, 4093132], [54367203, 44658591], [15634736, 48937663], [93450518, 56966575], [41212844, 50781753], [45867636, 74085411], [12763796, 7032026], [9226010, 8234987], [17600452, 15139714], [13091813, 34172381], [70801979, 80730927], [61762169, 58014930], [52590348, 99319064], [80286148, 51560407], [72231281, 94867757], [27248233, 3617825], [60017083, 32640680], [29058639, 63644583], [69674514, 79185716], [77724580, 76358114], [9720838, 38731454], [28470308, 35535443], [88079703, 95201251], [23633235, 76348706], [19649365, 36939384], [52413636, 82102490], [56006313, 41018646], [65337836, 11491542], [71501038, 71723821], [30050086, 89833350], [65044456, 19687493], [45552725, 23290007], [23806217, 8912996], [29459762, 65173888], [48107551, 26398281], [66956991, 58163615], [29577368, 99671405], [58818718, 215823], [61859987, 45060805], [84602002, 30105153], [66103532, 20717508], [33681375, 74691438], [45211387, 52326810], [68864534, 55723690], [73849074, 21794367], [51818897, 21840808], [44551870, 88247211], [28344509, 55023765], [89420237, 37823465], [77249504, 81138326], [32850832, 44054576], [41978968, 40126275], [37272672, 41551753], [37902096, 77879829], [88196990, 92004437], [53343501, 18540426], [56950161, 99241138], [1375026, 71567794], [28630962, 33700105], [19514638, 44073106], [59009371, 28948072], [3460294, 44482434], [26410895, 76313212], [16236227, 74498030], [57827959, 83918970], [60460840, 53512840], [84301613, 96726819], [15198475, 88776375], [88989757, 64067521], [83558927, 34017462], [14146905, 6822957], [50651058, 11499259], [91326473, 44116696], [895988, 31076396], [29092171, 30900005], [67110014, 72418211], [92068585, 27383837], [95715961, 78272609], [59043018, 54738606], [77831701, 23126229], [9543957, 44592755], [95318027, 63696035], [26848166, 12950555], [25643120, 62006910], [71160352, 39735628], [44529337, 54402161], [27328798, 74966300], [60715252, 29697836], [71435191, 84791605], [53400925, 83847943], [90121404, 61940687], [76878388, 84369986], [61261682, 62748500], [81646054, 14444771], [61876514, 84770552], [51179075, 35157475], [49783203, 29219554], [82855039, 62288220], [83206478, 54958735], [45994371, 26302919], [56333803, 72409590], [12474892, 42414829], [95124620, 77548531], [18393726, 94770485], [30623301, 95134693], [35062208, 64871533], [93028511, 47970987], [94371646, 66720552], [51013218, 90471814], [4471464, 93970464], [60322772, 1035349], [73650805, 59738088], [45651739, 31657786], [3994266, 37618489], [97783004, 53545557], [33236203, 34772652], [60975477, 78633651], [21134336, 95384098], [14902457, 62626797], [19059059, 32335757], [32116260, 59592529], [59399942, 69392120], [41771076, 97830400], [36385283, 32377535], [55364103, 43399622], [64075812, 76002083], [51030212, 17582661], [58487581, 64278587], [37549509, 25492998], [36999190, 91098601], [8292699, 74584020], [94777615, 27587156], [88481923, 23555108], [57866539, 82543475], [60520655, 26135610], [52144059, 98839625], [18491534, 85078203], [45700572, 13524478], [92218471, 60525785], [44374271, 92935091], [23791513, 97605417], [91695955, 13981520], [4915640, 26384613], [1511344, 34648188], [56224327, 25828257], [43252241, 91614710], [53351391, 20968763], [23460527, 90668137], [89437352, 54192736], [30095235, 50428200], [70222111, 62402481], [58140564, 27733839], [4190062, 42949719], [86699721, 88281592], [79824230, 1103173], [35185503, 12592015], [36466310, 88517067], [42106212, 58412952], [12374887, 23244798], [49686077, 3421306], [11915553, 82552151], [54482446, 43986039], [39581360, 5533402], [11485443, 72228200], [83310697, 47694849], [11045127, 62488180], [59004147, 99355629], [61933657, 96504267], [65125786, 75657343], [35796184, 53966618], [74849707, 96674258], [87806698, 25151770], [92023487, 9028543], [34028036, 41399738], [4979269, 22816142], [93830494, 88941760], [53061987, 57334331], [13130353, 91820714], [40840426, 85936594], [9322823, 95457323], [84932502, 10435894], [21450011, 24686115], [67445272, 4408851], [91932698, 8963381], [56559100, 37243102], [5409747, 9806739], [39831505, 72723755], [13007387, 30522440], [85462739, 38350602], [15184931, 39275638], [4922087, 66958677], [75840845, 29142121], [68699374, 25337013], [88672474, 23307511], [82186965, 14532811], [66129041, 21688568], [91498546, 1626606], [96948589, 59022726], [22165289, 10970131], [5920337, 65860857], [57616589, 85749036], [79627135, 77982221], [32284412, 62307741], [69433409, 41445298], [75906232, 8135297], [53545456, 90059200], [3613201, 7190044], [82927336, 22305477], [14718893, 55949496], [14619474, 67936455], [10922502, 96588727], [58228361, 9523138], [67555208, 89144832], [15964897, 96717538], [15770392, 85479266], [65213650, 87857648], [38461080, 9884430], [87119508, 79320227], [17658526, 61921993], [78403517, 76395707], [81934874, 46140928], [85420653, 3782779], [48785220, 66397441], [53158312, 74348991], [8382284, 18159073], [30612429, 85266610], [92653463, 34584211], [41445955, 20107251], [22232810, 5952936], [18006973, 83446268], [33712663, 84846119], [77908872, 50554051], [51450747, 12559214], [67452287, 55328821], [35555618, 1826702], [55735445, 8846638], [84380861, 87049368], [6494977, 93533002], [85618119, 22234976], [20168630, 55833317], [77224588, 34133523], [65923069, 5730884], [42397942, 31415312], [28582122, 62502936], [72750901, 55773540], [63918874, 68373671], [8351067, 25886981], [53444511, 35550446], [72238464, 98872329], [28980700, 35238054], [40155481, 90790671], [6941895, 84250968], [43860309, 93074325], [83429297, 3502365], [40137952, 34457894], [94823427, 14071004], [55442625, 57949929], [17851656, 77475149], [47980995, 62709720], [35808238, 98503797], [93897699, 69808226], [68530939, 89113767], [56861451, 93860222], [10942812, 88768640], [51993687, 81420550], [16015978, 10198725], [61104297, 90226551], [55691199, 61958856], [96562024, 9813440], [13556493, 84280299], [48579253, 30416448], [96122142, 90391331], [34674468, 26154856], [95089432, 33834120], [52390681, 93149020], [35664435, 66547817], [2334214, 30169892], [6868736, 66207707], [27487995, 46097870], [75111601, 47937441], [28050596, 18772432], [75533262, 83832243], [10493393, 80602935], [70955946, 30483842], [86359227, 58803917], [48042545, 44233531], [73586678, 29697553], [21700823, 46663518], [66806414, 17209546], [62119519, 17818826], [43392231, 51744445], [40421251, 50749089], [56652267, 39387630], [35798709, 31443495], [97839663, 13684586], [96863300, 69515903], [58813523, 89694167], [52839579, 44371414], [10063699, 32718913], [30905287, 43774675], [55859199, 40098243], [51639615, 69604470], [36190674, 1617655], [50843708, 10504294], [56258482, 50613032], [37694271, 91891045], [91645612, 49314503], [27738938, 83149697], [41356730, 92872689], [96333597, 83518824], [27811255, 18633982], [85676989, 50335256], [74200245, 77630104], [30285013, 22022151], [91915943, 8017298], [82426449, 56233874], [6492306, 16939505], [17366232, 88323978], [76929602, 12062371], [12386681, 75814571], [49060629, 48157940], [38273253, 30080335], [16399695, 18374926], [23721776, 558285], [10532579, 17956299], [66973246, 68520591], [37792284, 24027503], [4183209, 88151758], [53294249, 63191811], [91369819, 88870799], [25950542, 30121700], [33645266, 16795740], [97995140, 29799967], [54123612, 82834990], [2861310, 30016230], [40222243, 85059449], [55344819, 81198414], [85180956, 3788632], [62287993, 63979712], [47643626, 41863648], [89298875, 41496353], [27512107, 90724821], [37123260, 71776550], [89206437, 68257412], [75962143, 69906093], [74275835, 25780215], [67101982, 4988179], [74240823, 71396348], [78887651, 79097853], [52438356, 27852993], [97709161, 8919047], [90595170, 25908196], [26707076, 46463907], [22324033, 83092634], [17718898, 54037215], [87922302, 96110501], [99787889, 11839063], [89548346, 51958385], [80010512, 19368844], [59669758, 15692377], [64980980, 58632093], [80040007, 78715416], [6747969, 71500990], [87498665, 40307499], [21638817, 98038805], [7759872, 8539568], [62908301, 45800375], [42707601, 21560645], [45168021, 72961543], [15553003, 84267860], [99765164, 97834318], [47807670, 43655080], [77976893, 53824055], [17180190, 15256168], [11567922, 445542], [75750317, 88219580], [36456162, 25116130], [12697949, 33035020], [17459322, 41020931], [51596290, 40038878], [92190349, 41580524], [84121899, 34563804], [77761241, 23602465], [27440230, 71891926], [33910725, 48165389], [90166419, 53506974], [62556799, 5821547], [48950614, 4891978], [8654869, 47317122], [34423718, 56025416], [81258727, 7370628], [26097987, 87594428], [85609712, 27632532], [43202358, 11521969], [39684118, 89568224], [40756200, 5793172], [13792883, 99330694], [15590345, 2328842], [91817035, 23355066], [25567580, 68973469], [52139118, 43166453], [86964487, 31099022], [26953822, 25702263], [45922024, 75701770], [50432396, 38558947], [15135945, 95949072], [28135959, 87227074], [84903262, 83492583], [88186080, 17896016], [56504113, 86570898], [96603735, 39148468], [50322522, 86382424], [59818851, 82803888], [25076854, 39551170], [86606877, 66639296], [79060026, 74956216], [27699521, 64249990], [86529660, 61962965], [32616366, 91815969], [71844993, 80512980], [96715279, 19006946], [42123452, 75237729], [44748075, 9756849], [59730163, 47308886], [95747516, 25827761], [18070243, 1527378], [45623478, 59094604], [62075996, 68123232], [68381837, 22372784], [87615706, 29257226], [20976290, 43906445], [54028734, 18561398], [5022625, 51084663], [28528916, 2484900], [36249452, 25353351], [38709444, 79017287], [36160443, 63394341], [96362330, 43552383], [95414806, 55990096], [77747830, 2783205], [81632813, 17178088], [28045210, 72211292], [80549275, 1812029], [90396136, 36965379], [5835647, 45085112], [86382868, 51728026], [51733137, 89524778], [89102618, 54373819], [42895984, 73933423], [81210257, 47182294], [61860842, 32802714], [38088898, 19249727], [14125365, 73484093], [29762209, 41594438], [83794698, 22937346], [57731528, 43004526], [89748934, 82564085], [95531357, 49791901], [46306738, 34951396], [66378274, 48102341], [30091600, 49256969], [5687392, 22143836], [22315805, 6086732], [48676733, 68532054], [94410276, 68429016], [83475236, 49649325], [2034912, 64099065], [38700171, 718031], [15301459, 17949507], [56474339, 93588587], [17928237, 91161054], [20989496, 61122328], [68051528, 82822802], [78329312, 38258183], [76834404, 21065363], [45254407, 1862181], [65277795, 36428374], [14404249, 66214707], [15229382, 22623101], [31705811, 83618127], [80533292, 45505022], [62129303, 45740378], [98687563, 58093470], [18700984, 16030563], [28137616, 73246479], [47354551, 35064518], [58003735, 63137247], [76903974, 36975395], [95697728, 8767519], [46352943, 70353776], [20887454, 82905816], [20672061, 88958731], [98788431, 95208387], [41372996, 71217253], [59466917, 31831502], [8435789, 6008318], [34744909, 27114346], [97011362, 85030674], [24463866, 76686750], [87101274, 51910204], [82744879, 63570884], [71270533, 13972952], [51353396, 70036505], [79664368, 75417662], [86400445, 54732061], [22358254, 53318305], [91350613, 99942176], [14296817, 81052481], [72468936, 35414968], [26844963, 13207970], [28916607, 37671689], [49522240, 57791131], [30075544, 53134171], [82324850, 83998605], [80748670, 9739165], [13365160, 27032133], [90262738, 38360505], [97493817, 28761291], [61900292, 30310433], [69188663, 91829859], [58553361, 43428382], [41538417, 89735698], [83654532, 79256582], [78769662, 14261808], [1568857, 38633077], [89512447, 89464442], [20634998, 18519823], [89208210, 99058914], [37998854, 78103706], [26343432, 30388401], [64372989, 77825914], [8950829, 86909811], [5846690, 12950571], [90833679, 19914465], [9038830, 48915072], [35842231, 3462738], [723096, 34633841], [79816119, 58055751], [87017685, 6834742], [85651644, 23259907], [82115212, 28929023], [7506757, 30939224], [93288172, 37309301], [89292791, 56533452], [17023175, 5478640], [31637024, 4137487], [23302282, 34562294], [90575189, 72247047], [48639029, 64764056], [61341392, 27955340], [99740848, 52517910], [27962755, 17359345], [54555182, 81598010], [2554328, 50922256], [57094017, 18591999], [39199926, 57081185], [52247441, 53602798], [15430877, 91107870], [89129326, 61559166], [43581438, 17647175], [20344074, 34904754], [75843536, 14439283], [96380565, 24693306], [8796741, 42781875], [2964593, 33847076], [7615912, 18629117], [67487934, 77919748], [85858659, 45967647], [87515591, 95323638], [6796649, 17328337], [32656039, 59372818], [93396458, 58173404], [38733394, 82828229], [28789858, 40265238], [94190052, 26607007], [78073159, 31477632], [15324032, 84394624], [81679146, 18066145], [33155261, 67109035], [64628399, 69589204], [25854492, 52698226], [87593028, 97048370], [43085548, 86032065], [40945552, 96883751], [32213463, 51405882], [57763729, 13178206], [5960556, 97782255], [26806873, 21683336], [42599311, 68449866], [73215555, 39727802], [80295976, 93018230], [32469570, 87980404], [9518971, 75697997], [21140147, 84512078], [33284071, 45979483], [23511625, 66545148], [422011, 85706722], [39717640, 16544020], [88263923, 42786169], [76026321, 54591129], [35429305, 44250311], [91807114, 19139461], [66622790, 93021241], [40347200, 43181769], [88222411, 79305687], [99690578, 46277075], [68255347, 25717108], [98478228, 4447653], [20817449, 90730860], [1070952, 49688858], [79022789, 66396198], [90004868, 60859618], [71188253, 89914580], [67915074, 44105427], [40698449, 8744300], [3242345, 74719826], [29518246, 35448386], [55984464, 13508237], [83131106, 98538780], [57133863, 46346876], [53577466, 29005436], [37680917, 61958911], [41219041, 32807912], [83032867, 75245159], [23144162, 75928662], [62122552, 18757162], [13389264, 83062672], [9043049, 26862943], [86033850, 47984061], [94610270, 8093645], [32520863, 40263600], [20560668, 36414573], [70780464, 6442442], [66777110, 5717557], [19711279, 83450039], [72869119, 25859701], [86046764, 11911752], [19333138, 58376221], [23093031, 93148286], [45272044, 16625971], [7873372, 35916581], [19081317, 23961710], [24466557, 63414937], [82227957, 94952737], [72452038, 65463954], [65909100, 65943211], [24433607, 61656032], [40936984, 24188160], [89914780, 74406670], [18227983, 16926211], [55050820, 62675705], [27519370, 92018417], [68818656, 46760844], [48457095, 997970], [1373131, 20372315], [31750864, 9841536], [30337514, 2517812], [97671237, 24828167], [93022970, 69959402], [98316187, 67201556], [59874521, 76690036], [36838789, 30483820], [4554634, 20281592], [39407548, 38020108], [62936109, 24715641], [23847738, 40208282], [86632035, 27663953], [80405949, 20820132], [56994635, 42997543], [82720869, 38053167], [10427399, 7830755], [21967621, 65774748], [97799033, 15851613], [4399599, 79102121], [76731740, 4111770], [17188505, 51241284], [64303112, 88624496], [29762140, 81630084], [63922553, 60427246], [67925503, 18194421], [17595519, 21208874], [12476120, 14441584], [2017120, 93282484], [9279509, 11603897], [47289313, 81133621], [56059922, 82054954], [3218050, 27785737], [49564365, 21453096], [17762957, 36699103], [34521283, 88512829], [54713492, 4271586], [45520751, 27694083], [20437695, 60959897], [55499551, 14818597], [38331197, 17399994], [23543445, 23774525], [67227950, 39098139], [29902350, 51672530], [35912062, 48463336], [94756914, 48743504], [61090979, 99193828], [19932795, 90788146], [14082923, 19979205], [2099038, 30671165], [88272725, 2342083], [29969817, 80976525], [99157218, 65404954], [83022262, 50106357], [55461775, 52493641], [78892832, 86688771], [98925339, 31809502], [61207218, 73998069], [17032156, 54912620], [66109070, 8280988], [40637540, 41244393], [87433651, 92410198], [92318524, 7082023], [154908, 64531984], [95555012, 41297585], [54336231, 76231378], [98829469, 64728034], [30229445, 88803317], [68792948, 8136566], [78471526, 81846795], [40025717, 61848324], [18343460, 45546803], [56179986, 6552679], [91475946, 90981764], [3300834, 481651], [76646028, 24872338], [26619, 80714642], [35018190, 5022239], [31596855, 79263236], [93541346, 19647942], [32050944, 84264565], [73937460, 84355692], [8716691, 82729418], [1155314, 43703440], [98773652, 79214243], [52237093, 56193401], [47128107, 96517669], [40045684, 27382727], [74947344, 93468366], [21871890, 78973379], [57199803, 73531621], [3905230, 47681915], [49995180, 73546647], [89363751, 73448195], [30969340, 15147175], [55758970, 65312825], [4865005, 18043989], [47937092, 71217753], [46348328, 25525082], [43166306, 80573853], [96848806, 94408641], [40024678, 3913771], [25098649, 86910259], [54462009, 43304799], [16457907, 66091216], [32135310, 49883634], [95662155, 33991254], [13769500, 77511187], [95434918, 5640524], [31830251, 56381949], [6705451, 86501268], [87136242, 97000227], [30278098, 32997334], [95927352, 32781268], [65264402, 96382710], [86126020, 86010816], [72394947, 83339641], [32974276, 86298069], [73857694, 59969635], [51003506, 5420383], [48965675, 70966322], [35026106, 50333233], [77385677, 94305453], [74060584, 12690389], [73045272, 98253799], [26640820, 6251863], [80242506, 85720925], [70597583, 96776387], [55506998, 92352070], [52638331, 85896669], [82378266, 47815659], [21540909, 33436716], [35319140, 44937405], [94848466, 30004509], [87815184, 24628784], [13115045, 96843605], [9589900, 85167270], [28481114, 70559787], [68948, 16788289], [97692394, 60738677], [44562889, 55063555], [59699139, 44409407], [12060932, 87209], [41123012, 49684363], [58924256, 1127540], [29500440, 22177945], [4216980, 98488065], [58177963, 35647169], [27909247, 86436441], [59055611, 73126142], [36688625, 95034162], [7117424, 19751482], [17050323, 23552618], [75231682, 97663946], [91426073, 45677582], [55054220, 60151368], [7813763, 80473035], [74273107, 14082678], [22705762, 3124050], [69116081, 76404315], [36821890, 80872683], [35082252, 48934882], [13627712, 86335109], [55909930, 53193326], [8280845, 60817370], [87313514, 54051641], [92641281, 19852573], [81083350, 60817986], [50964697, 82165106], [96886639, 26302799], [99042001, 78570230], [36086229, 55644103], [23875672, 99481422], [89081159, 21385970], [64612731, 45015619], [55523560, 36136112], [79664265, 15017883], [384509, 8813209], [11180705, 2447439], [34080097, 38435677], [78835593, 50677486], [17253948, 15631904], [67026205, 3206205], [4372980, 90252181], [8596204, 68563951], [51459436, 19342755], [43063537, 32985167], [39294199, 52273949], [54190228, 42139351], [63442909, 61145882], [84981453, 5211738], [38987965, 15851321], [85595351, 43992194], [74911727, 61198890], [89880363, 1314268], [16885135, 78634587], [41914491, 12932295], [82800071, 40335318], [7095488, 69381394], [73688170, 85965874], [80919588, 55454404], [59496474, 81467548], [78975788, 36593576], [82508349, 22891929], [46692706, 95243087], [98399089, 64870422], [72979579, 89717742], [57543128, 86396065], [29106752, 63532501], [15576246, 19962108], [48352984, 92342171], [19542763, 17140053], [96894029, 8777177], [26435459, 8235376], [17070908, 33216600], [33356787, 80185100], [25843019, 52787801], [77717933, 24715829], [38157025, 24890664], [98103982, 33918071], [64445801, 75132355], [97591088, 44863011], [74379065, 91629125], [66602546, 75701116], [84212932, 93535818], [6821574, 71274289], [83315073, 57870683], [33813552, 98086328], [6818884, 93145300], [67873081, 83109456], [21560162, 55343858], [57546489, 65268745], [19947192, 43023889], [53677734, 1220272], [95029091, 27956136], [40354581, 36767704], [91565786, 21986684], [22129591, 90049723], [32647852, 20898765], [36374730, 88253339], [69099298, 87159213], [50875451, 81183095], [35527532, 49393414], [49666268, 16980866], [69479778, 90334323], [90729699, 87785340], [7395112, 34024332], [65121425, 16919274], [77593696, 33956487], [15454340, 96864846], [92345483, 42371555], [33723571, 73876854], [69752955, 59815969], [70396364, 47671067], [29418037, 13162200], [92478583, 33132350], [38374989, 79537185], [4125181, 78567108], [44567749, 1853992], [61867657, 27413172], [32845497, 13705755], [93018257, 58355031], [65286214, 30735722], [55476833, 39010476], [41738055, 32442830], [63672791, 50081580], [39057944, 90467788], [29692334, 62764940], [59107139, 80792392], [90357498, 39773314], [44370524, 40401727], [89242720, 3647620], [4338509, 3974625], [74808756, 71942468], [25359154, 79131720], [47791363, 71175447], [11751144, 42873058], [40954188, 18023813], [82751437, 26262480], [91771208, 74768762], [17717664, 29515356], [19086669, 94668780], [69253689, 96060466], [67568857, 83790487], [66350302, 53520018], [6367524, 33140682], [9176146, 46982035], [33839166, 97502674], [71541274, 46506522], [83636747, 17157534], [11315385, 33907768], [6899386, 87529329], [36336409, 82181109], [12918611, 16924634], [55031322, 80986461], [53381249, 84478771], [64374522, 62244228], [96260358, 47477245], [2537566, 24755410], [6182711, 58924739], [19798672, 78541833], [8328557, 43301105], [1318761, 96920252], [7314778, 35014453], [85502201, 50371221], [88093546, 99353615], [53175336, 97059210], [9607967, 38926807], [54570429, 15224089], [99275165, 95030189], [76788013, 7696561], [80924225, 79063317], [49225578, 76708269], [77836911, 225670], [80547035, 20877573], [16796808, 49417110], [29913687, 15378137], [68165447, 6476183], [82538125, 18427705], [18416518, 77604907], [31356303, 4263719], [68259111, 83520521], [94538585, 76219362], [32657887, 25512157], [30207114, 93461437], [26300580, 19617838], [15025116, 668892], [9621901, 71507778], [22989041, 72485051], [49876918, 98080998], [75491341, 18178433], [37726228, 70632154], [89015474, 3631066], [61314802, 40281481], [91118156, 74582459], [57984994, 38692047], [61265305, 78382808], [72657445, 40229809], [33146360, 71671237], [77498738, 47672380], [68997345, 40368806], [93422449, 80583645], [48616241, 94520037], [97188773, 25142403], [40103929, 72186237], [49983517, 21506891], [37204412, 43120071], [5903339, 60074987], [8966714, 58313372], [66887159, 63968731], [11214522, 15431731], [38730817, 39666157], [2279205, 82370389], [33143378, 11677692], [49909740, 89810101], [27679119, 53748012], [46815288, 7912216], [38227607, 20176934], [44227589, 5984697], [4095572, 50846601], [25012392, 94580078], [91530565, 42780034], [70836767, 97389630], [41540099, 60380599], [38899271, 30311907], [77375063, 34351138], [20763103, 58802510], [41719534, 70890230], [6423062, 94746617], [21932398, 6305474], [96680255, 27125575], [82589766, 15770331], [65239137, 96577724], [9102685, 82277625], [80721775, 26680805], [85185838, 6300383], [86659519, 13113281], [88039517, 20744540], [86895700, 14763816], [48504692, 97651907], [30369587, 78240988], [20363095, 88820750], [65940149, 88257470], [99538704, 19324215], [28328901, 35706527], [70994302, 91517104], [64050738, 3399987], [85478331, 14672026], [79635680, 39794401], [16480636, 95667596], [20324478, 19850517], [7619859, 35252322], [93332122, 67830755], [36231476, 23755231], [13048245, 58462611], [24442857, 18488388], [88244818, 9932040], [4512102, 51768482], [78587780, 50913612], [90998593, 89630788], [78353860, 801880], [64465002, 64706635], [1226995, 25639860], [3396074, 18324802], [19076435, 48674858], [28530145, 74566758], [97573385, 66278321], [94429624, 91586218], [63327198, 82019677], [54233785, 8696160], [26196949, 70801219], [70605102, 33873636], [50316816, 63542859], [16867746, 29359406], [45983123, 86222173], [93731421, 42684139], [47056180, 47987829], [20816281, 86347878], [47943170, 35643885], [11213467, 6287821], [6158407, 21380330], [49991588, 81911107], [43944966, 28859048], [95433797, 57405592], [69880171, 26536810], [57450046, 80859345], [42510693, 63643479], [23205183, 28004661], [58212447, 72545252], [29887446, 90559908], [2261804, 44278998], [595362, 85843666], [84477794, 35316256], [17224794, 3886587], [83248153, 64035808], [84190738, 38635883], [30718554, 87224292], [84412370, 79742730], [22958277, 379590], [81689510, 96446080], [45445471, 83046672], [46543430, 83726626], [46958530, 30716043], [73981947, 53216598], [95584764, 83416120], [58540520, 35766726], [83111121, 77867913], [83193395, 78577741], [30349476, 53405529], [70082919, 11442403], [95331308, 7165039], [66725022, 59048595], [59710253, 58736224], [95544603, 12120069], [18937481, 77766935], [27572083, 51844941], [93906584, 48336672], [93482805, 45843496], [72937302, 46845476], [57817966, 76370377], [17078386, 98106376], [54954551, 3742966], [47084213, 99872292], [86517185, 48969717], [9375122, 51284846], [26519644, 4500050], [67469620, 21380617], [88183159, 7154606], [35328878, 48041768], [31004165, 54472459], [17007822, 83272114], [65334210, 47241764], [75556582, 71941326], [4661923, 80041547], [51346986, 24964236], [95281766, 92413866], [62623548, 26953563], [15247271, 48590526], [53683197, 6147511], [41175150, 43684709], [53184915, 21351569], [54897075, 69503325], [28458385, 54542820], [93428674, 76622740], [86634202, 89225013], [98935328, 81657267], [1978520, 87072799], [56280868, 38586307], [79195425, 23582257], [17882917, 39688981], [2779509, 17548808], [72384078, 92348426], [78854872, 88311153], [75588873, 98772529], [24966572, 88674441], [92317606, 94197178], [33359253, 83351826], [9598968, 88746874], [96511562, 61586026], [73464027, 57772250], [84013960, 66641412], [51153388, 18009789], [33364848, 54873263], [67128315, 62131383], [13437309, 1976781], [12216783, 1308130], [93424162, 96257911], [75043639, 70115043], [33970511, 53942731], [77768714, 90018718], [45159260, 17820114], [80672996, 83205505], [16000221, 96626151], [86840331, 21182887], [12842120, 17886070], [98015578, 94881035], [28700308, 13275815], [89027630, 56004029], [36658555, 25312007], [80189632, 37740873], [96264432, 46582904], [45124404, 40240014], [80149909, 97159504], [97735232, 7993649], [60146539, 45480102], [76727225, 30192114], [29948454, 25702636], [44640187, 64091896], [61641235, 96697256], [25842506, 94017420], [93821443, 56151024], [73994446, 19802090], [39831765, 14233954], [96962140, 88325184], [9962138, 23930975], [65174605, 11948040], [94932814, 28602940], [25664366, 33782741], [87776134, 85850481], [38869453, 69711781], [94669497, 11777697], [97488696, 76806755], [23959401, 1587537], [4799723, 50859041], [71164872, 7793024], [57155114, 90489903], [68778072, 61521416], [58733517, 76498914], [81729456, 98272897], [64853035, 57425017], [10528728, 96255593], [17341795, 8912200], [3179843, 41252139], [30185167, 15285892], [47183180, 85649819], [94167485, 41232115], [19181316, 97574463], [37994224, 45757458], [46672954, 82949155], [57227360, 74157322], [2284259, 71500668], [85204628, 40718906], [27552910, 18890126], [94884305, 40999596], [62934259, 41283689], [89670270, 7326593], [12186825, 10173306], [27266151, 12026932], [68394922, 72955763], [62020644, 21593177], [17958191, 56661025], [25151669, 97270423], [44693119, 28596509], [74658473, 11105245], [78547057, 32466503], [98776080, 8280580], [33372594, 30876871], [94306580, 19668806], [27777156, 51028140], [13931193, 68653988], [39441598, 45090905], [26796560, 67142669], [98242389, 12070705], [94086785, 62958563], [66081267, 63459397], [6188172, 39181905], [74679703, 93612409], [66295009, 63443710], [84622526, 35279363], [31808966, 85825329], [15737991, 8531785], [57872219, 7263063], [33249401, 96333073], [43884519, 47598677], [90416772, 26039108], [45758718, 32153998], [22125039, 44675001], [92337257, 67732795], [3115821, 7397472], [62580879, 61226870], [68072641, 27036171], [82825288, 61600313], [70723819, 52310794], [96870464, 54295062], [62372717, 57823137], [17676964, 34739519], [18075653, 89879387], [53019642, 61712559], [28123632, 41879267], [71287895, 97266614], [84328644, 57556950], [23129098, 86543945], [51452972, 22627884], [53711904, 48404733], [38593012, 58602353], [67381885, 14813029], [66662492, 71143870], [3097709, 91063498], [85561199, 94892774], [65574892, 39753727], [63685921, 94394365], [78344037, 90336115], [98953252, 80160436], [59028946, 51986229], [42731839, 29686269], [48519013, 58374585], [93022014, 12238191], [35363495, 20475418], [67423820, 24500590], [96587132, 46214392], [58219298, 11130983], [53039405, 19173554], [53279426, 79521999], [49443051, 8858284], [43501328, 79348822], [31998159, 98870889], [35637940, 79245711], [24416287, 66049428], [49622814, 21613924], [30534525, 44437769], [20034771, 5213140], [37280922, 43498711], [38954023, 35141710], [60856373, 72829645], [23632523, 18774947], [13287159, 85687155], [43542254, 23602627], [19274808, 70845730], [87406245, 79349680], [77892829, 11399452], [55319386, 18726190], [86298787, 18734178], [78297888, 29992370], [62152798, 42291544], [78025875, 45297106], [42888307, 23326922], [95584593, 4444147], [98458973, 43056348], [70075509, 15520549], [46488850, 39403683], [88996772, 96909576], [64120278, 96276378], [10527858, 33199546], [77175532, 25312968], [77723445, 88636435], [26956881, 37533611], [66799764, 95290761], [16049136, 50100245], [55675845, 33119655], [94945818, 99373198], [30646406, 70061609], [69814039, 28254435], [48583188, 39429810], [40250046, 29805583], [97051185, 78899624], [30355934, 89798177], [82890492, 66110667], [58101414, 77632456], [5241188, 48166965], [22817318, 7009812], [90611760, 25522921], [50756416, 22243450], [11335474, 79805409], [31842431, 3330914], [83843088, 74245672], [52402481, 2270996], [77188373, 93712209], [15330109, 25688754], [23416429, 75403659], [20788215, 94229218], [40997420, 15119862], [94279026, 76292779], [93865018, 70131768], [74329111, 56239739], [52260335, 30780718], [28597134, 71282647], [17724520, 87861985], [13349463, 73657473], [47472783, 33978874], [90750093, 11996329], [87661939, 85663854], [37553032, 55765527], [92723702, 11106473], [88424170, 77856582], [7561575, 53724992], [68791955, 7593489], [60820054, 82931913], [67631209, 61066118], [25997573, 55423770], [28209386, 17264638], [33335335, 22721977], [69025667, 76482675], [1261989, 54839001], [61781516, 73435806], [23674933, 64755667], [10841255, 13797517], [49472411, 9167557], [36314893, 44864404], [21075638, 1714552], [35368369, 56432707], [89185443, 20805064], [31548355, 56372304], [38768657, 36401347], [7875346, 46960647], [8745809, 51128285], [35350289, 14379911], [93601932, 42420663], [52506470, 61542861], [75212647, 68973921], [46056744, 73744761], [78808489, 43803775], [46857102, 17594371], [86234542, 8821789], [56312856, 60698697], [19860954, 17610046], [13751944, 8754725], [12183574, 93713229], [56824518, 8578400], [42426035, 63411206], [6018162, 85200342], [90884180, 46185975], [71245472, 42260542], [66375489, 95965551], [43113215, 57196522], [68404080, 25147070], [20909001, 51484340], [20653864, 6873317], [19709584, 66568343], [47605838, 18517975], [98187234, 44942973], [46989838, 73428807], [75328497, 63484943], [24317153, 37498013], [64632413, 58172857], [43971110, 75093395], [74062996, 43498178], [5991621, 54133522], [63658491, 55823106], [97665755, 165146], [77945649, 65246766], [91429855, 13353591], [52837, 34283527], [20066376, 87856621], [73372342, 51672243], [30765805, 20068558], [40053864, 82729101], [63097357, 68740948], [47098411, 67100109], [31280132, 56538823], [76413255, 75671740], [82249687, 58243182], [87942752, 28401950], [45016037, 22480236], [28069437, 53125944], [28268408, 32942434], [76284778, 43529535], [66428980, 30909416], [21733068, 42457208], [57847135, 81528465], [6097893, 48212564], [38426805, 83248174], [28022606, 48763512], [5167683, 68882945], [29328109, 9392247], [94484624, 40184998], [34731336, 40464805], [34490527, 90011280], [58238380, 35858324], [52980616, 63006160], [77053956, 82699166], [51382063, 5593697], [13846170, 11741339], [91403675, 64211347], [93253739, 98031123], [73308118, 89943537], [94194175, 77930036], [60364801, 7847354], [90041372, 41913366], [50275641, 70023383], [61998968, 9276243], [83090275, 36418881], [64379705, 39699265], [45967258, 48981663], [13199208, 79828692], [29081877, 4388983], [73225931, 27797724], [66087684, 11607083], [74196917, 18203648], [6734802, 4734674], [4112013, 60484840], [18394739, 2182958], [42469219, 70856258], [5725463, 53078583], [6799830, 3219940], [32843469, 29948371], [31155509, 64412183], [1944896, 99011125], [27785265, 33728262], [33343566, 32502849], [15405047, 63525141], [61888094, 34776019], [7321640, 93951785], [43081524, 63132260], [69064792, 75244020], [64765575, 96138628], [82264644, 44491705], [96081597, 60371526], [92449202, 99149653], [54110883, 61450775], [78881426, 48455555], [16289406, 514238], [30660750, 71097950], [3697802, 9027190], [50564573, 22749376], [14754548, 99377081], [57933657, 21352177], [83921495, 76599044], [6528231, 95575459], [33272058, 84783583], [91381474, 90521663], [56030874, 55202685], [66218301, 96495749], [14002215, 85505202], [90229780, 16239593], [84084202, 36060432], [61781353, 36978751], [18235628, 44282345], [38480819, 58484543], [75588269, 54599970], [28479209, 52393671], [6518171, 21827248], [93212218, 71782770], [27498317, 70596092], [63943118, 87686719], [96730450, 43536714], [21601725, 74282702], [44308060, 65750757], [69023936, 12104876], [17520139, 38816707], [66052618, 49228901], [66298427, 35962654], [2931363, 41516432], [85349897, 77157680], [27171487, 66314322], [58057360, 66586716], [40679887, 72599498], [19574960, 46381166], [16863301, 65530008], [2760860, 39761731], [75218931, 86370496], [56565815, 17043978], [21548355, 96560489], [57524515, 35547682], [25340376, 95061250], [7770927, 1007966], [91335246, 65604299], [71130348, 95341267], [77962851, 29883856], [48481145, 96573871], [36781875, 1364350], [77892591, 71984737], [9171147, 98976096], [13238421, 40458097], [57872224, 61761841], [10431748, 20259373], [95552326, 532437], [38015865, 25678598], [54536675, 33967340], [80147426, 29451481], [67660038, 43919477], [17745591, 69470226], [8098760, 90232093], [70445365, 21809717], [18688209, 39811509], [57829071, 52096868], [50449328, 46256167], [46735387, 38633698], [50228272, 36317734], [26363488, 43054413], [82808265, 6448311], [53703772, 32813982], [85065513, 73719910], [22223572, 34614717], [36320463, 25418531], [17515596, 99582754], [44947089, 29369294], [61095764, 96774236], [52317696, 6970138], [86224594, 83469224], [4053907, 34914809], [59767586, 13462763], [92270227, 1494875], [31026641, 27944852], [77090554, 41207500], [2759559, 31990832], [68098719, 92747683], [36162248, 47392635], [83887498, 86694480], [92035576, 21367533], [24511386, 7501871], [92544838, 38219390], [4630797, 71845497], [81443121, 88502086], [97518204, 64770134], [47731824, 18986718], [79973781, 99730342], [29597298, 25942351], [51828845, 10893393], [47693030, 62448340], [2394235, 55547708], [5970671, 40576052], [9419317, 59305132], [84156094, 38044669], [1336466, 75801503], [67677128, 55600380], [56531950, 50343930], [93634152, 55658317], [86152368, 73493709], [34479226, 74706393], [71592554, 79493141], [83675322, 718285], [31112407, 74335189], [79314086, 16299757], [5892308, 13152119], [54216640, 56552894], [88481636, 54387462], [56888461, 18148320], [63365009, 57765361], [57899328, 89257058], [46797645, 32863948], [79033444, 11830903], [86157295, 16796241], [95393986, 8251710], [72495950, 16659192], [98388624, 89993260], [71349855, 70765088], [50901507, 46432320], [67595430, 79575194], [84505194, 51265415], [28061609, 35127397], [17286614, 24395565], [8546006, 70100512], [88331407, 81985739], [82165767, 58415150], [89709520, 96577761], [75236546, 18068698], [22821611, 808491], [30900717, 43601638], [65864073, 54533805], [33776047, 11414659], [14600682, 53721831], [52474304, 47629038], [53629736, 2344263], [3281881, 98727391], [12870967, 11067614], [33349171, 13568354], [75781380, 24053484], [8838865, 78445439], [93371457, 42049029], [60173641, 80397362], [45688816, 76643612], [49024045, 73907537], [20008351, 22518206], [75743164, 35412682], [44393789, 33394210], [46147642, 69767084], [17254375, 87576339], [22580929, 33123082], [99455233, 97858593], [99991910, 55932201], [29114110, 72944024], [9695654, 73736503], [65057381, 92743018], [99792417, 92930101], [17278617, 44638222], [56779971, 36553076], [2893795, 73516798], [64618562, 8039264], [38344545, 10615329], [2998081, 35770736], [72227338, 65367227], [79949947, 65334515], [81750611, 91744383], [39005156, 55989049], [29006707, 27042045], [29049741, 57037011], [19962235, 4834206], [78054550, 14947105], [31337901, 46754310], [47812780, 10293354], [31185995, 25664311], [10621069, 91225419], [65224708, 13664097], [10445081, 6847012], [92111119, 6911476], [49441521, 53401595], [83352191, 21167189], [35393779, 43601511], [93099079, 10056654], [24266621, 25518524], [5856061, 19749122], [42294194, 90508078], [69465922, 22828305], [84944284, 31391845], [87748488, 10721305], [88910192, 79124328], [44395065, 26735964], [3800956, 7357717], [11444222, 75418849], [9214046, 50480727], [5019985, 18629923], [11563300, 59951386], [38510409, 38661357], [58988302, 7587022], [72730286, 5141544], [41769030, 75588896], [88417425, 49931632], [85885027, 16522916], [68101260, 52033791], [26672636, 23453413], [66261655, 14079033], [67986806, 2352114], [10411159, 10386378], [19790997, 39312431], [57247899, 18025672], [14652909, 47378424], [6719419, 30007531], [76410678, 36606778], [46017265, 92607340], [9180870, 84832123], [13683370, 69953060], [84132210, 51862383], [5086633, 46147159], [78896454, 56713637], [19801491, 77327811], [99505009, 17433458], [31818269, 20422524], [15929231, 25304290], [18632378, 55699661], [36524068, 17946226], [29033929, 62526723], [10684382, 29884926], [44074419, 24611102], [67006580, 45407505], [94869467, 85523940], [41788563, 64677262], [80821889, 69946579], [51580266, 96542612], [61027259, 93092421], [7117878, 58721029], [62693045, 13609800], [37574298, 41360846], [37576102, 30439184], [69309206, 65094760], [59468729, 16904945], [79222577, 76701099], [42450104, 10878025], [65355351, 69322531], [96510893, 30659679], [26825123, 67255782], [64658271, 27069069], [43295131, 43322784], [40475532, 27176197], [9451636, 23375565], [17003586, 21207602], [94261826, 24183598], [34351453, 46927196], [99550940, 97554783], [398865, 86449331], [43939490, 9748779], [46425607, 67806417], [92963707, 96034680], [67520632, 67495979], [26740268, 3729148], [50162389, 30379325], [6035773, 21981272], [40591446, 69476688], [95852038, 70531], [68621801, 94870270], [40898273, 40983280], [70763407, 49044665], [4594958, 44075509], [66330340, 25090305], [67032482, 96216226], [63157219, 79770375], [65611146, 65306941], [24890307, 18575537], [4012432, 51991430], [35668302, 36912352], [41029574, 74432523], [82602155, 69099785], [18304524, 66006932], [1490166, 89356473], [47848658, 12670253], [7802697, 28976869], [3549552, 21569579], [56031341, 92103014], [72952953, 44722005], [76966388, 91990020], [29699176, 38665501], [44088540, 80582685], [90887151, 80316663], [59490348, 73627818], [92174100, 94798287], [53824589, 27160392], [55383427, 53499577], [57595790, 51835169], [21577074, 10092794], [21153924, 75400797], [55962911, 54980792], [66778524, 97476509], [29365580, 75544658], [23100020, 88476588], [85768321, 99414985], [29568159, 43208428], [95705712, 46939003], [44810666, 15572746], [34249394, 63793123], [72982836, 9800148], [11513912, 1285794], [24845032, 73713157], [78377755, 94348363], [68823600, 8701433], [68081435, 62282229], [14437807, 23805106], [75089084, 9406214], [41586524, 57068803], [45574640, 95013152], [45215070, 61808385], [19415254, 80374112], [26285756, 64612565], [45387264, 96923727], [90209307, 46304825], [1773613, 84639534], [39258865, 8847666], [79070464, 908988], [47200388, 30773267], [84936189, 44010675], [87512957, 63751254], [21014261, 30938657], [83719367, 24325756], [3544234, 75922210], [59329435, 78285687], [23161823, 32134731], [69510402, 8679350], [78591136, 80295176], [59272142, 68100124], [4055203, 5676350], [39255713, 94245792], [51718749, 59205693], [55345898, 10669560], [1336682, 39625568], [13826017, 9420262], [29285126, 13411555], [87288242, 2611670], [29205981, 47606658], [44114900, 48444431], [47532100, 6601215], [21625744, 62998746], [78187169, 79021172], [19217544, 93477525], [28545799, 1326024], [72148189, 42852928], [56477118, 71483458], [70251734, 4108235], [57773265, 13358669], [29286205, 82914890], [27709564, 53300667], [51159944, 79260256], [9356894, 15102079], [59308110, 28346729], [24956515, 87535206], [36637554, 26999502], [15841207, 89188124], [82118116, 92968580], [79410152, 28919625], [54121281, 89942068], [71088798, 23524805], [84036830, 19235185], [78250269, 52637230], [76493613, 4401139], [60881598, 64403377], [28431608, 38966883], [7043887, 27186894], [20378178, 71894435], [55679210, 13009280], [72504470, 48375483], [24585209, 69764957], [26562699, 43459806], [68421088, 86631676], [95970479, 5074587], [55389077, 50119862], [76361015, 44031898], [36847244, 15210435], [48880640, 8207186], [16075803, 95181984], [65217054, 38441969], [5700627, 70922743], [89276863, 32743650], [7202183, 82810431], [9776610, 20363955], [11412034, 16436601], [9912745, 80466468], [75506054, 90955059], [4382275, 19921416], [62978585, 13937620], [61817752, 87349026], [56981809, 26691322], [52910318, 88312604], [7589215, 12374459], [81058871, 9158860], [95164503, 92121425], [49388445, 219665], [53608879, 45720752], [34513524, 24643220], [83517266, 63011908], [18575808, 8846002], [20026822, 76967320], [54571378, 62451856], [63129741, 77927973], [68756, 44432355], [53699112, 65875545], [57745763, 75282106], [30253639, 13866460], [95069697, 72054683], [38222553, 6729561], [10064273, 27092339], [99932305, 5371211], [32459517, 43078695], [54781838, 68378071], [9507097, 36017672], [25919348, 61978885], [20383410, 40731768], [60060973, 4979250], [41490550, 58725498], [40662451, 67260716], [8791388, 69512037], [6086773, 90328049], [97197929, 12903239], [19520623, 76235309], [60828309, 80030401], [53083683, 68335671], [69905726, 34120941], [80955985, 87734329], [16609586, 11958321], [3294464, 25478484], [9121124, 89752201], [19610286, 26469876], [85012707, 37832028], [20215035, 61011053], [59718732, 39201598], [92896142, 24406421], [59396828, 81479217], [89932484, 40059747], [70208920, 78372631], [76917981, 82125559], [16212481, 72752680], [45708508, 96689319], [84596814, 8616402], [75550515, 20534624], [63896222, 9739973], [34659307, 81522986], [13317440, 9968], [91336049, 90474254], [45078026, 24265628], [3736347, 43541072], [35271182, 93444343], [60679409, 67196497], [73865645, 68902996], [4832581, 74741774], [16893493, 34351157], [46326262, 66343948], [32661973, 32257694], [66051892, 78997294], [54641261, 89366946], [78856480, 52827855], [61555084, 75089772], [12299844, 65542267], [94305780, 44469859], [8421318, 50660555], [61393013, 38766417], [10837867, 73196426], [64620376, 5605740], [82155737, 88545984], [58234593, 5006275], [49773426, 59074802], [48525151, 30341446], [44113853, 15306846], [7767357, 64327661], [34862534, 31099272], [13086681, 55856031], [14905870, 90781922], [27108443, 89618518], [70151884, 53917267], [38807695, 34764965], [58466763, 91830319], [5434886, 33875077], [72149050, 29754379], [37696258, 20819832], [76363658, 71372397], [93397285, 16957519], [14084925, 67958594], [11200351, 749817], [19332780, 92249134], [95952889, 38268451], [70724570, 72881492], [82337152, 4756130], [48238733, 5376344], [46321129, 47076870], [74764553, 12706800], [50033111, 43634988], [47212302, 33863357], [89294680, 89017572], [33944665, 95537047], [99253459, 21661679], [86657200, 82877895], [75212516, 41979289], [26244481, 97343207], [48672542, 25079894], [23564232, 56546345], [44339702, 24290387], [55668184, 37685168], [51676477, 42583332], [89238723, 92488435], [6018936, 9859574], [93474751, 36266400], [57582064, 10535331], [90234838, 3615123], [84423953, 6642854], [68270993, 87549783], [15081026, 2037462], [51760215, 80849439], [1440705, 84631657], [6804002, 71493919], [69634244, 11651517], [87332870, 39186146], [88924370, 16156562], [39014653, 94022445], [41914997, 43689497], [82226394, 53599445], [85206551, 62148572], [54150980, 5532760], [6580521, 74944316], [72525777, 71869205], [57095243, 86826503], [54818820, 28582339], [81139329, 76280942], [26385164, 9934751], [7637074, 12249450], [99842406, 15841804], [36756340, 66748460], [21787028, 29086974], [11904824, 16456457], [58198357, 19014808], [29852719, 3820920], [81720744, 93045193], [42528022, 15411709], [14841255, 26506751], [96796340, 48105972], [21378508, 79994895], [91324935, 9259322], [41988754, 91627430], [28224029, 39428627], [64059638, 11644036], [50104758, 349582], [33203030, 44575081], [48712425, 58255019], [1791002, 13528825], [49216997, 70812532], [1337558, 40086382], [25727177, 2783284], [46142767, 48700552], [50009236, 15720039], [10211575, 62403985], [46800049, 78749126], [50200403, 87097806], [244720, 35313389], [31237884, 69318111], [79138599, 47602166], [26266181, 48217292], [77680595, 17263749], [25222475, 32259937], [15145407, 64700239], [33551344, 40626046], [61410994, 10632888], [96244339, 82026744], [32352212, 14131868], [90884559, 32544421], [84248519, 78891628], [86601812, 51290755], [63341211, 45743093], [5427136, 15553493], [72055145, 28546188], [88188252, 38014633], [70316511, 55131], [65942904, 88272307], [75997536, 31423134], [74912228, 47176228], [92340795, 50071241], [66531278, 51719199], [73426929, 35437520], [30388561, 33882687], [45345567, 19754833], [65631188, 38418929], [4623424, 73660349], [30792022, 27581804], [57273113, 91494241], [57710627, 63835923], [46121539, 83161352], [91311141, 60765514], [98839241, 98756697], [65899344, 39840824], [23439560, 5793714], [11330278, 45026543], [21551798, 63685054], [77692973, 75190829], [23991836, 15644272], [19845269, 31863657], [86491196, 35665802], [34691240, 64281099], [4162765, 76416281], [82982747, 9428272], [28223111, 53124315], [59743531, 98043374], [67302552, 73579365], [19998941, 66776498], [1435303, 84603915], [78420001, 6218335], [5817772, 5278570], [37850162, 2552643], [22287393, 21370423], [57333777, 30013407], [65051197, 26946656], [44779179, 14466926], [93064783, 38966998], [19455560, 33036944], [87198865, 17871668], [49430034, 39400720], [33199634, 43598801], [94131871, 92925263], [38431229, 25938675], [26572277, 46765589], [66941203, 54248452], [64716363, 39386259], [70496169, 188234], [68865083, 98408118], [68733199, 25356439], [97562051, 94971322], [80629031, 60180408], [64904691, 44188632], [89816597, 44861200], [69433217, 57731617], [19505499, 16656714], [5557597, 91517318], [56194773, 81250562], [76318636, 25689072], [755863, 25286253], [31680608, 46063689], [25154649, 86000021], [90059655, 93446458], [81196291, 3065856], [1615808, 89437694], [90971297, 65207753], [89880223, 93612250], [51616389, 98809387], [18101323, 23409739], [82944318, 83247602], [4938164, 97123960], [60053842, 44968364], [89665071, 29416323], [6101680, 2706711], [37027712, 94650733], [47104186, 48367121], [41533933, 37749443], [11762201, 36394413], [7358461, 26442549], [37126190, 31340105], [27971706, 51043415], [8329249, 1845584], [2925474, 68131010], [94674556, 16791968], [35038712, 76214257], [87213462, 60672609], [83536596, 37668471], [62856336, 33959968], [81895018, 2158809], [13005023, 25796], [35444344, 74131392], [98653402, 79766865], [48955051, 60608667], [30498499, 65781243], [57771574, 66621417], [13000909, 97557783], [4726366, 58473201], [64062439, 90708870], [18114364, 60397430], [39397857, 95450332], [20315585, 42192416], [33728856, 12367790], [38136748, 60671321], [75320670, 67564631], [96124407, 7077488], [19913378, 16224855], [14355104, 97330695], [38513766, 48852445], [78265092, 60514184], [59035980, 6315514], [63930441, 60147543], [84817574, 96911509], [9330005, 30532303], [91327723, 83889202], [12828573, 19529470], [42731902, 49212739], [45278016, 2926480], [79376391, 34006244], [66842011, 99971555], [45325679, 34972246], [4241324, 42208397], [6071149, 12716703], [28805888, 12722853], [65927693, 61364979], [68277789, 30341105], [75684474, 41400246], [67086286, 55308930], [93369095, 81746441], [30250247, 80458315], [45939776, 94970673], [150053, 53111083], [81350349, 19810638], [92404601, 67087289], [93823791, 79852152], [41725231, 8876672], [25500108, 98323585], [48779536, 66187058], [80664950, 88000736], [1307584, 34974748], [45412191, 69951484], [73111710, 86135748], [75863631, 87642781], [27814618, 96135101], [1059013, 19751726], [30827569, 7713092], [84601384, 4339286], [18940548, 99160453], [94248674, 20004651], [56823648, 51781316], [2266360, 15294732], [48288307, 14608732], [47361205, 65938318], [6782950, 37142749], [33065503, 58420642], [92882070, 78242952], [69963787, 51974590], [22258494, 63971688], [83126276, 39256727], [29261268, 51597968], [12995598, 81990285], [35482220, 57280763], [26555244, 28892155], [91183326, 46651767], [1041282, 51520034], [36623247, 26059526], [56845416, 25156530], [10764250, 56905912], [62492868, 60927054], [77900524, 13503986], [22424953, 41681508], [26802242, 78794828], [3968149, 34652202], [50554552, 51558623], [83763512, 79386957], [71370359, 72359201], [29431053, 26395794], [95449696, 19744583], [58486962, 86738427], [16409178, 80169574], [46500434, 3964662], [37728200, 36059648], [85165104, 16968855], [59160700, 44838428], [69020738, 36908308], [22850380, 64514567], [25011942, 9901698], [82526395, 97646466], [36099524, 45238901], [8770657, 46695859], [5317282, 32046026], [71569150, 2962217], [12380650, 97977149], [62502872, 88512569], [52896765, 69891642], [55805899, 61882376], [23725200, 59159575], [79574201, 10012238], [70971101, 52246625], [80830614, 2389084], [88747593, 84243114], [52955757, 1772326], [31869276, 46537731], [21580099, 25629361], [77448581, 58706223], [80464308, 38708338], [97104301, 55576598], [67710888, 15605960], [9118666, 94691979], [17980097, 46151975], [76130828, 31636853], [56556074, 8841229], [26294362, 53550462], [78811955, 15890547], [76926510, 9016828], [84088848, 54048367], [80321685, 7181073], [48172562, 80299078], [38015221, 40423704], [4970643, 3127894], [36479430, 5416017], [2971239, 66384492], [86286568, 68131141], [66948047, 84505658], [80618050, 31570257], [24737064, 62815832], [99729551, 35186171], [39596594, 277723], [55881948, 2036461], [4350093, 68491219], [81005756, 1443186], [62928765, 37960451], [70295007, 18643180], [29940702, 28272318], [12315525, 64687129], [10823770, 29981823], [34945028, 93570353], [50284154, 60573611], [48577085, 59348415], [86443173, 73060836], [96925536, 63006414], [28653043, 19180030], [98971494, 84177142], [26486572, 70111788], [52764, 79958048], [1853520, 14325385], [2869607, 2308824], [10319621, 80653797], [36741563, 12618307], [53456088, 93317007], [52906045, 35128097], [23047684, 19947895], [17094077, 75341005], [86791177, 13798246], [93360431, 83209639], [75973053, 280010], [51989512, 22949262], [12382327, 35174817], [96702394, 66789379], [8978802, 89600843], [35814723, 73939089], [55015409, 18054815], [78508565, 39776634], [48377048, 79153330], [1283724, 69290687], [91502893, 69118692], [66517302, 41011317], [88713588, 89569801], [53227714, 92828919], [86824394, 93576292], [7495407, 80755496], [56711607, 3216489], [15365248, 82467844], [59485804, 85981326], [38850176, 62670927], [79162409, 8940687], [49592936, 28322850], [17561003, 91043418], [88390914, 69594835], [33904696, 32250095], [34542179, 32534089], [86170232, 53903529], [54418755, 45737023], [57942641, 26499212], [16267575, 26122780], [67519235, 51041380], [75422946, 79184175], [99073959, 40055294], [30437716, 6442655], [33660603, 16921888], [96794164, 351847], [45911020, 59559022], [49834871, 95344813], [64237529, 40594617], [3598512, 80992473], [63348525, 73419352], [6573749, 98542494], [62530400, 84922034], [23640360, 68358909], [56652312, 37181628], [37585216, 68987746], [24401780, 78228714], [62431213, 90044855], [22453427, 85745066], [47843094, 81894405], [85884458, 84471124], [30801701, 58890940], [98914536, 54744221], [83169473, 72725876], [75802219, 97858921], [3920400, 34369767], [66832847, 80421696], [23101222, 31206118], [80846069, 14497677], [76296955, 17523449], [38575881, 1799573], [48588182, 15801792], [87079696, 81684982], [94836692, 21574248], [25983426, 46329526], [47148408, 9488312], [2854024, 91458610], [34585440, 19219550], [65340212, 85562324], [48744541, 39812365], [6790399, 77253377], [23101139, 19729510], [39263538, 11690945], [27853952, 80287546], [86045266, 78641368], [82234889, 66890736], [47078908, 37503265], [79140801, 34168769], [20772481, 70427950], [94364593, 28559717], [87722806, 84115510], [49232476, 33840657], [90984928, 51335771], [75872726, 66285007], [69714036, 86994957], [19316469, 66374011], [36484067, 2476388], [46220200, 7233123], [17038345, 85519002], [39658835, 77191085], [39165107, 60731815], [43888829, 43285271], [21106881, 65388905], [28379544, 29818678], [91558883, 62009055], [50166337, 60883682], [87893931, 24197365], [83834196, 53385454], [97631361, 96299184], [57920948, 39728479], [25335023, 10011074], [47074060, 25382378], [45968131, 89807863], [84149763, 78924222], [34760566, 70044385], [7407541, 52096268], [13087483, 34305423], [84518346, 98347373], [41191768, 20120102], [29103269, 88818704], [29245541, 32488775], [79859457, 84692098], [6179865, 15823397], [28324125, 25298478], [88998869, 95001005], [14995201, 55846804], [81067361, 69276949], [8388555, 11124953], [97902592, 64025487], [15298226, 59428438], [99624581, 13936063], [45421830, 95605145], [811010, 76992543], [75819022, 74711513], [22786115, 14133028], [85574377, 39672570], [38396437, 6352137], [55900396, 85406323], [61083853, 82594841], [42250597, 10700840], [19524212, 68997604], [31090130, 67338814], [7843841, 96014213], [10510513, 40558426], [76255732, 86921172], [20719092, 365072], [93565468, 3261680], [3548587, 99553677], [93505538, 27849781], [77152062, 36514640], [20881231, 4323950], [88972509, 16727269], [71006588, 19639205], [35736789, 76409774], [94594848, 62469550], [83687318, 88807978], [61611777, 30485666], [33141938, 70421014], [28028435, 74767235], [9288734, 94048864], [88478054, 19910457], [55445471, 36137211], [38438214, 24331200], [15759792, 36387068], [80570893, 54369647], [19284642, 18633096], [94842300, 55425675], [976656, 67238510], [35247386, 48603762], [28187392, 84713789], [31911913, 2696082], [33490450, 89453994], [61960344, 90011267], [13707229, 30400992], [43478553, 89099802], [46047139, 86483811], [73638775, 53369670], [46750650, 99642291], [45997039, 91159764], [40326026, 47617447], [67146488, 27943870], [43357380, 68215415], [82794779, 27685602], [18913438, 41022497], [86451675, 74684677], [46743513, 79011288], [65722050, 85080587], [92225623, 93772174], [44212321, 55548895], [53147509, 36488130], [53351533, 89088650], [3164999, 39921867], [77855249, 4693935], [73807530, 34074789], [81358529, 21624310], [55526607, 19254397], [46916243, 3774420], [43846787, 11183748], [22955051, 76814739], [11062962, 54303566], [4059297, 53280704], [89523857, 97926939], [16472204, 78516351], [82715703, 20742830], [48683008, 58987200], [28546953, 81833030], [43734998, 84791900], [96274760, 49908733], [90764234, 88275856], [57206266, 22130617], [48491738, 81173722], [55374524, 75818087], [30758358, 61465037], [29084776, 37416429], [37734355, 35511180], [63916456, 1411585], [74232259, 43493071], [13074516, 45335314], [8099736, 52506490], [58174446, 75060596], [11272241, 65645397], [33710215, 78169713], [55807992, 27801040], [65840933, 81302682], [44960236, 94678188], [72358523, 44130006], [30410492, 21551064], [54201550, 47239700], [56883688, 27600087], [59723911, 32907256], [53425643, 39078757], [84416834, 23914776], [9259341, 46048824], [99916777, 83002129], [79733094, 94835328], [4996662, 90057028], [88717506, 29459995], [95767536, 28418711], [43044291, 61344211], [75959190, 92463986], [2589436, 76811401], [48974320, 35856304], [66198969, 8979818], [53702763, 52158907], [50540087, 58042839], [59322009, 12585130], [17676668, 97040206], [67411913, 26017350], [65373016, 29964185], [21734883, 56213608], [67459270, 90435175], [41535773, 42135002], [98165725, 36205730], [69006683, 36698545], [91266043, 64459257], [46704834, 78375547], [44022700, 53706010], [60498888, 23301605], [19408809, 59750929], [96964742, 16921564], [8903221, 6624943], [83136454, 43134263], [93821470, 40959406], [96698727, 97724736], [48931698, 55707776], [22182099, 1042657], [1002723, 80230374], [6806632, 49336164], [67926974, 12462493], [26903154, 78036330], [11959395, 26130920], [57547514, 92526393], [68802552, 82375284], [98970097, 48257586], [34466637, 89284213], [14728349, 55450808], [9356436, 69458719], [53523003, 26940700], [81672316, 67521862], [88499872, 26848155], [71802240, 62278499], [40930566, 57281981], [91685281, 46591006], [55353829, 90537557], [81206031, 85709539], [80752167, 92417554], [57042820, 45667150], [62757244, 59284495], [13953635, 43265927], [42466804, 53231260], [44786116, 34199076], [61751071, 75589341], [65516156, 34081925], [56588790, 16971022], [26126087, 15799403], [15061493, 55289314], [20435159, 65976179], [43692552, 53752700], [68557924, 69679411], [12503637, 65660904], [7471799, 62391256], [40180861, 55299991], [34365153, 83016543], [77980648, 88971131], [59789605, 88506284], [74353493, 11671743], [25261120, 58558785], [22362065, 84668563], [34239636, 33104568], [19445880, 9660769], [21614233, 37461628], [37775322, 57770913], [28063238, 45679955], [6797391, 77193828], [42131181, 93277327], [24919891, 24417074], [73653968, 92094755], [52039159, 40619980], [67158491, 70606894], [41320453, 41853201], [31613658, 26414491], [28533080, 69272695], [39008587, 19636555], [992963, 15821075], [95710778, 24165071], [96632313, 60453911], [27175495, 27131257], [58097666, 64553393], [11520865, 62138172], [8012440, 82822851], [38179243, 43036996], [71691420, 8925087], [14477262, 46346870], [50022321, 85708385], [61370829, 7427487], [33281996, 53799658], [13335466, 82556893], [68689092, 32908371], [80779017, 63768790], [15784784, 82157909], [15403526, 69875050], [15961221, 59372779], [33412044, 6094095], [53658479, 15517292], [25225569, 79957121], [88616054, 13675507], [97528752, 20999364], [63371641, 70048549], [63366367, 83506615], [78565546, 28136750], [67645312, 64664114], [8118018, 99102714], [39851904, 96430660], [76065939, 52910308], [38552728, 82703768], [64982088, 69939798], [86930950, 57538398], [65020771, 55993408], [52058869, 75793940], [83986450, 49057114], [58125484, 44631086], [4813754, 86080825], [31319284, 10758218], [77689292, 54044643], [17317027, 37790026], [5557570, 97549728], [20790232, 73731440], [18846615, 95293604], [17027156, 89677173], [13451573, 61036274], [69757706, 58987015], [97545002, 86067845], [11497392, 69557227], [79395638, 96816077], [74139040, 67787687], [21966509, 42784171], [40443471, 92535917], [11267758, 1656137], [74600639, 82455126], [6868586, 36677122], [23670874, 46153274], [43453725, 18880107], [93088615, 27486809], [4976230, 91438831], [47846759, 33373834], [15449250, 72741236], [23614953, 18007328], [93987245, 69171185], [95160555, 47147611], [59741993, 19168329], [70778753, 49056567], [91007243, 53932950], [97427467, 70386486], [34399688, 8798612], [9045794, 54483140], [74343731, 63438034], [16225685, 10752985], [16683267, 89990061], [19461892, 58923294], [26242805, 76138316], [1146958, 27456390], [71542248, 64039638], [8897409, 51340417], [27522938, 72170225], [24587027, 82889115], [31609374, 37755980], [83172418, 56181815], [29769227, 8695277], [47377548, 49301538], [88939020, 69063114], [87235303, 32458497], [14325977, 69005218], [54171553, 73906845], [37687292, 52639466], [70823028, 61773324], [56702147, 7629506], [33682101, 42960324], [60290689, 4451302], [20483632, 27230405], [43241296, 74732024], [18462118, 35476242], [15275167, 2185742], [5795138, 87652115], [3133326, 32158227], [45580869, 13913112], [12890826, 37687275], [69096711, 55504050], [66687277, 3577951], [85864804, 31537736], [62975072, 5572728], [26002517, 75923500], [77753703, 53460191], [51981079, 9656064], [46394240, 11711482], [76336864, 75653630], [72572214, 47374591], [3815252, 56541892], [96415970, 19362888], [54820678, 75640884], [13459115, 44459973], [38224729, 2587006], [20503652, 37779275], [66555292, 63589357], [43292251, 80698581], [80244307, 92903284], [51196429, 40461800], [2359413, 13960579], [45449337, 56762257], [6255493, 94133940], [33318797, 60694884], [8252392, 12539563], [26158617, 83534047], [70533529, 2140033], [17752128, 1664995], [14767766, 25507113], [11265351, 34371250], [61799785, 13037243], [47113058, 97668948], [32701672, 4230658], [43807714, 45294141], [3751773, 31554327], [15791841, 19784856], [6367473, 66452224], [46654871, 64601567], [62217603, 93265188], [10912458, 98606622], [60215712, 59709124], [10904083, 53846680], [47040748, 3464379], [75125767, 13993377], [68580808, 76680104], [75385141, 13936367], [25834413, 43112621], [17697736, 22496618], [15462092, 52148847], [18859960, 36350787], [37571014, 51594289], [5647883, 10284304], [93544355, 3753970], [32349428, 60858460], [43866328, 88316235], [55205205, 91062303], [86846801, 31904531], [80712274, 72251396], [71930314, 83691972], [37871428, 40270380], [55111574, 25618978], [3694261, 75275813], [97491640, 47791347], [52329618, 69476500], [25265758, 11943986], [11909501, 93117066], [36020959, 26479853], [96971844, 3880777], [56100689, 49347718], [14066516, 70026078], [33103052, 94437869], [96486115, 34998481], [56495732, 68157726], [53170073, 58459531], [19445863, 61975277], [35948081, 84195873], [92461694, 37205707], [5673876, 97477453], [6118211, 44761591], [34291711, 80128645], [24501449, 4381802], [20868396, 30162764], [14364856, 11717224], [55876299, 87959679], [20430537, 95336475], [68341123, 44598909], [48330919, 84614576], [82928920, 47346972], [24875251, 74996531], [61506003, 40579213], [16836458, 56145179], [81824155, 86375323], [52347005, 18101081], [34623158, 94806419], [96226111, 39552172], [66156378, 14751039], [7396488, 19425965], [63530331, 44409515], [94023144, 54614876], [12436218, 2664567], [83358671, 70088169], [22037347, 32410834], [64121206, 77455899], [19572542, 92432901], [42730128, 92096254], [86980451, 34952715], [18066323, 96591501], [37871019, 61752500], [66993869, 35803552], [59032577, 28812455], [82259753, 71195274], [21143210, 73068216], [65783784, 8144140], [27805002, 10506134], [12627053, 58840345], [58853752, 23549425], [27230146, 10485710], [11079608, 76179888], [39849224, 60531400], [60667497, 95365681], [87730677, 49777619], [68373712, 11649383], [28242743, 66647696], [82826247, 22049998], [88827787, 39638749], [17876232, 66175083], [2930140, 20405441], [98651737, 98798616], [51683736, 69696903], [51886497, 48377508], [24611505, 33557339], [44424728, 63841794], [93033778, 92910864], [10851552, 75067336], [99847750, 23311317], [97236746, 83612372], [33004334, 62040747], [77691013, 68237272], [79326417, 45281156], [99977290, 44182031], [68740755, 55991057], [3042874, 45199533], [87586028, 72247935], [39392280, 87045561], [19088642, 56154688], [31144509, 46125910], [53159192, 34751466], [3407402, 6959438], [72102005, 84359483], [48958970, 99404315], [71031389, 97742578], [64220982, 70230161], [97460140, 98843099], [96423656, 58061252], [14895350, 40585347], [79505093, 42869421], [18618292, 8558059], [65649641, 15857538], [98108639, 28969365], [24661454, 31944261], [69611653, 73604002], [9214754, 5984762], [14018063, 65535869], [26029964, 70174401], [26051620, 15780814], [76419467, 35154940], [74961438, 164468], [63379552, 3476741], [40249050, 56673789], [2540286, 96761121], [71248023, 21021159], [18206060, 29245205], [55015307, 40476881], [36074656, 32343336], [47400661, 53795605], [77303710, 54225627], [29836177, 39387691], [31228362, 79106906], [71442893, 45308463], [84052230, 75535989], [81092080, 44362093], [38465710, 86642841], [7045323, 11449131], [23164476, 75193229], [98278037, 19757949], [30736881, 41352433], [80167064, 97057485], [45070754, 2692277], [52567491, 53574444], [97506320, 83517895], [46266566, 87152720], [20020440, 45718250], [37599902, 29747152], [49010419, 67432215], [92315612, 70665276], [66021332, 99962335], [86886893, 99102992], [53721156, 96486032], [67314643, 6539310], [76506285, 83586688], [26690536, 36018352], [12143559, 1926098], [83503306, 86013371], [72635498, 85137805], [24900424, 14635487], [8629839, 65153314], [22515205, 73082324], [55444536, 63694616], [43078848, 49423542], [97352068, 62682890], [32627073, 18980714], [68565968, 42645383], [39022050, 60492183], [47574983, 6915853], [53601565, 24260217], [74209268, 68946091], [74535997, 3831653], [58111829, 49967065], [63852007, 33717447], [49773981, 91513710], [31414579, 21257666], [69305965, 73064233], [6444598, 78440590], [92030378, 40547704], [90182277, 41770068], [28742897, 37246448], [610814, 23809649], [84723720, 8484919], [23567798, 66224811], [840430, 31402592], [30123588, 37199364], [66459605, 37740677], [55647515, 58530526], [24339741, 16487606], [83261554, 34133757], [76013387, 80251611], [95017307, 26469956], [25834586, 36407602], [98154296, 88820641], [88210517, 39172296], [75393794, 72991481], [38738618, 16493685], [35591725, 38940748], [48126637, 32291691], [37547881, 66304292], [54365048, 69549060], [95476644, 18583533], [86475558, 71625138], [17068088, 90366503], [71400084, 58308069], [63171409, 54160488], [48764619, 1081467], [40614374, 80257126], [36194460, 38248830], [61196744, 44220281], [6248609, 18049407], [82846770, 34333904], [24468022, 55832650], [21195498, 94165872], [2406837, 73176846], [61345184, 70438543], [85930716, 36613378], [78015047, 37481847], [14807116, 56236291], [20832046, 18111024], [64608480, 56886201], [1662041, 44412736], [8073688, 26792673], [4771260, 5052095], [12784243, 42697969], [83290978, 38126768], [10179442, 31306143], [13142156, 42372212], [54929728, 74095272], [32612876, 5705764], [14496366, 45449854], [66406933, 9196637], [90734078, 46724897], [4023328, 50324429], [20561262, 12599806], [84843088, 37447813], [82027363, 86278356], [5670116, 10272109], [98371484, 95200697], [78625457, 7391333], [81756129, 84261751], [22839158, 5180457], [2083611, 40627276], [61514676, 46323283], [91512549, 42818452], [76063733, 53257653], [95545340, 78350704], [22256040, 54615573], [44034248, 79924512], [25090241, 43143007], [6827232, 58356504], [24393264, 81938464], [55679871, 87266208], [23235071, 18571047], [1771086, 46633783], [64922456, 98713610], [14799370, 60499384], [83881002, 39890556], [39694443, 764254], [75216249, 95306570], [54146090, 2337348], [64661646, 40634654], [38151576, 84122097], [67016567, 56733686], [62503902, 85591336], [48478691, 89291676], [28066729, 52846089], [28820767, 88197594], [83195003, 97982473], [34729393, 91951187], [85926096, 75071683], [31551455, 92995515], [29890227, 57275864], [34168404, 65808631], [62448077, 65079831], [53406285, 2160150], [61010310, 90954800], [44005219, 17413867], [70553220, 18867297], [60860417, 23446656], [72891439, 81251255], [65653891, 32574025], [40730026, 41020637], [92422248, 1377011], [16130825, 54404598], [13485720, 57854381], [50202486, 95926429], [18133159, 80435571], [49620052, 77719408], [15578098, 29590530], [9381138, 70760313], [84717489, 46814326], [26645373, 90595379], [47014890, 81020832], [94408897, 9732150], [83488740, 29633809], [94899399, 7690760], [21672900, 30238712], [84644462, 14414377], [18076454, 50241954], [91066110, 13011408], [3902286, 72944987], [55546545, 75351168], [47391558, 8735821], [42853041, 68342595], [29424761, 93612740], [64464478, 71476730], [34834585, 16560849], [64733643, 33833516], [87728903, 60917373], [41379086, 35751272], [8815728, 4059983], [32531317, 56633909], [1010051, 15680553], [63872131, 46291925], [98811433, 16118817], [26836964, 70844702], [48180423, 68311881], [11235127, 51267959], [3149380, 1925542], [83406060, 43767412], [2730534, 63365659], [21058133, 70960650], [49829976, 61123423], [31589087, 69413093], [81939385, 79351039], [19865696, 84951855], [28421581, 90994287], [56723931, 59452002], [61334428, 79846649], [17106185, 90905665], [1202801, 5634539], [13509911, 4189363], [98688355, 74024823], [36938832, 33754435], [38654217, 24898413], [62064268, 97681403], [34100379, 12915989], [99007288, 65270322], [82459170, 60205162], [46904781, 10031749], [87664141, 23745880], [72870096, 27664812], [34879759, 87844126], [24802083, 75239419], [48384318, 80450369], [83073523, 53874435], [77432180, 75396534], [44141845, 92755885], [29281162, 97462382], [40250437, 4198114], [65211085, 24797209], [93793720, 98175540], [21625968, 14683513], [1024272, 17916291], [46266642, 4623898], [58108465, 29767245], [15283058, 93124867], [90271085, 30145953], [1961831, 38533925], [53760648, 6570253], [1360563, 66711225], [43058383, 18958070], [62584369, 23344407], [67294443, 79348355], [47296882, 38879877], [90674667, 45094203], [55319019, 61034415], [38370559, 90164680], [17719111, 5718793], [15964736, 87743923], [78552900, 43399747], [98846243, 94726387], [70219277, 77229851], [2229988, 82898200], [49049755, 94632340], [47170388, 97784517], [55466764, 5161769], [29596676, 62506937], [53912871, 65332660], [39597912, 72551558], [59891589, 27144964], [67161262, 12426733], [85565593, 58249982], [11158697, 15219272], [9773962, 6183617], [3897695, 83628637], [53140623, 49222775], [93122660, 20562759], [77650314, 67785399], [61639385, 6642930], [9788578, 37852056], [89743279, 30655147], [64029770, 19923312], [7730850, 96046649], [45033488, 75488412], [35402606, 16350304], [77773317, 69469952], [72964019, 25006847], [33444258, 43673354], [49026054, 24539582], [88314905, 48459202], [24712026, 70083790], [40078411, 24662495], [50949056, 3803660], [88420133, 64720168], [38387946, 11106039], [19661126, 97132680], [7310627, 31257188], [26643194, 46099554], [63074152, 9448386], [97671259, 34491631], [13117716, 66165121], [43165168, 74472490], [31531592, 51159629], [70746937, 81509273], [59288289, 7874950], [50597818, 79939126], [19308295, 21139219], [70768402, 98199002], [52387956, 20823843], [60181956, 5600081], [58672623, 97348916], [38858931, 7466155], [14193302, 20081463], [93628941, 88950082], [2228245, 44031520], [28977811, 90989069], [65537315, 18345706], [9815501, 88175129], [77356245, 67432811], [57521196, 17473797], [34939406, 61950731], [11760923, 83238613], [67717965, 91798362], [36488613, 93574116], [80128023, 97545971], [11765946, 82909533], [77205343, 16713670], [97636302, 72694697], [14679975, 29446266], [29569231, 14489806], [48979510, 62115335], [92904294, 13700937], [34083185, 96295739], [37381489, 58012262], [86236703, 97345594], [20219562, 94988747], [82243092, 96405794], [75072688, 96427920], [95974482, 67415647], [96583776, 41662836], [2129736, 8095135], [82760514, 12444433], [74168199, 58198029], [90253674, 43190514], [90885149, 22940775], [34875110, 73067225], [62529793, 47559512], [72709616, 15284561], [77832999, 42684917], [62339844, 42642633], [34040150, 88144728], [65342952, 25289673], [92165933, 52867039], [94700028, 76323074], [40764989, 31515175], [56392755, 71023403], [9912102, 42852884], [16258546, 97590396], [22184260, 44429260], [61761595, 93877801], [44280229, 48988774], [44545651, 4834857], [58993089, 36013689], [24108588, 87754764], [45922143, 25398251], [74391280, 63445656], [48836635, 19285842], [89380995, 3635083], [82652942, 13468637], [49988276, 2091217], [49420329, 58293319], [39982302, 36059322], [79503009, 99949272], [87781062, 31430296], [12679538, 65739734], [153428, 3724556], [87677758, 79496400], [50640013, 20086995], [52946926, 61676012], [52417671, 55901976], [73878506, 43966200], [97197327, 67737712], [23474701, 88818114], [92696049, 5649659], [68239556, 73060764], [16242737, 49255506], [12204261, 96735563], [8676127, 38101816], [65595689, 98062558], [36496228, 21013220], [20824944, 49012951], [96560527, 33595091], [40201436, 18625324], [42737314, 21421565], [35221336, 17092798], [47378749, 96880659], [73482299, 83395449], [29400418, 5706118], [6471799, 62209945], [33577011, 54549471], [36739124, 30495117], [93690953, 16879904], [29167774, 73092998], [9681933, 12519531], [5863020, 72351832], [31050207, 23503887], [97285893, 36164896], [8385348, 10832228], [55902589, 56372692], [76145623, 41790366], [97850248, 1962563], [10169894, 45664411], [70161585, 85807792], [97805607, 23526281], [36203571, 11988767], [3616307, 83122228], [87709008, 17533358], [71088984, 46286397], [83179111, 12244413], [52378847, 65740439], [70207264, 772522], [9873311, 5958902], [81556043, 72625119], [69287045, 54449352], [12341528, 28277608], [93664148, 17707574], [75101695, 8387461], [71218498, 62564509], [64800812, 39065440], [44456588, 19033720], [67376436, 91002347], [30436203, 15771990], [59684078, 65880746], [90873700, 88703384], [40428519, 30543208], [64424672, 40972153], [48803837, 88640320], [16419945, 42686862], [62177131, 91989315], [82736035, 165954], [31233475, 79827579], [33744759, 74362104], [7013194, 79508100], [52283773, 8231661], [18240550, 34630655], [48253022, 54414170], [31265865, 89648906], [93452524, 92868439], [91401552, 73809386], [10889507, 33851452], [12429603, 79707381], [75413365, 5907892], [81728455, 76460175], [38750307, 14682148], [41171486, 67638756], [12465492, 25644385], [99053753, 6524899], [45017339, 92760937], [2299173, 52539718], [28539142, 29468195], [35308332, 74968353], [26533606, 20417939], [67317780, 59030366], [55677942, 69965710], [62088004, 71706241], [31456199, 48077110], [96701365, 18771381], [72989258, 79927001], [21247811, 125086], [77071454, 69493857], [33704739, 27275357], [89999859, 72208147], [28093532, 30934327], [6483415, 11970658], [4756833, 17508412], [46351282, 20819663], [42614542, 17608951], [4208107, 34570183], [75403028, 34866314], [53306447, 86922101], [87061103, 50309036], [87769521, 53886374], [65236409, 3910713], [12764860, 58424599], [40702101, 60863760], [53063541, 53740448], [74176523, 58650330], [5707455, 7076065], [95553749, 67722111], [5915610, 56728265], [90721360, 4714303], [58235654, 31420690], [45410289, 10800737], [81305386, 58452166], [64551117, 42046204], [29988801, 48802984], [20051738, 64592495], [16240794, 34993306], [47239420, 23940459], [5730258, 35006338], [99469694, 86695450], [68846667, 78773637], [51481067, 97259932], [1697650, 41539611], [70881013, 44920290], [30045936, 2163500], [67080763, 26326780], [35132521, 21386550], [72552409, 26753149], [91476087, 40568557], [10656987, 95189459], [17607824, 26528242], [34787888, 63850844], [94913196, 49887936], [93541630, 17264959], [59241192, 50391656], [36474003, 80290307], [85708389, 56814487], [35425423, 85502464], [2633251, 77061897], [93991860, 27415327], [23712810, 19792991], [81765214, 44839241], [81917873, 29226994], [42158096, 92999708], [80271308, 38526315], [84825722, 35649903], [26971619, 86804038], [60946344, 98034848], [63880781, 59290810], [81509380, 22070833], [89154411, 57459140], [72642803, 65352667], [51286956, 49637284], [96072579, 83810753], [83494669, 53638583], [98766601, 12231378], [1818387, 67136093], [21638506, 82790494], [87139302, 50242175], [54735217, 64741637], [95895004, 54001510], [26483801, 55981096], [49030437, 25202642], [20255296, 98334721], [18061657, 41745038], [92538215, 6737592], [2582018, 4076692], [3098539, 9430255], [2629517, 23163663], [92815174, 30878677], [60215624, 81710587], [40045927, 87266281], [21758416, 17408674], [10172814, 18570167], [60109743, 35654825], [49552648, 3201107], [12682117, 86809173], [22283822, 45537314], [84572288, 57007762], [76415473, 99599558], [66062200, 17816507], [11520897, 88256876], [64693227, 62116060], [46736436, 65187688], [42133486, 90841193], [99023476, 14564321], [49808025, 63140022], [46292335, 28493454], [21467261, 89504173], [62990246, 92530281], [59252017, 9066516], [25693604, 56405953], [30663871, 28619303], [59261749, 23470353], [35607049, 31847103], [24245661, 60656576], [50923741, 67848312], [64818430, 4825649], [85872742, 18050833], [64837206, 33243070], [48929884, 23315163], [15096542, 55897535], [28120817, 14022937], [88966934, 51058550], [6716799, 36418923], [44821154, 4200580], [49146662, 10566333], [49290447, 60219237], [72941773, 87612003], [91875177, 41923208], [98512317, 67348128], [93735487, 83209866], [22360546, 5647813], [49607406, 37685384], [14412031, 61496450], [96790033, 38699591], [73342170, 77825491], [67608798, 70283973], [67261231, 92728730], [71363332, 71834039], [35826356, 707602], [2122513, 60563187], [45630855, 47168632], [99670833, 54093811], [87672640, 63417750], [86369254, 72183066], [78372429, 14362955], [19125843, 59738947], [85908762, 19760808], [44576129, 87693118], [78997320, 42897706], [47388937, 16476420], [69082325, 17601124], [9588446, 18030646], [98107417, 27778026], [38832236, 35742074], [59493075, 83093742], [7969805, 69049824], [23646711, 19298112], [76018180, 21835300], [17645877, 22249559], [18587077, 99718069], [76387048, 47597823], [2881310, 99844719], [85512856, 22229675], [67850170, 71969923], [37386312, 52583999], [61094279, 22298331], [62204010, 80717304], [29608506, 73396110], [47785035, 49346193], [78491491, 78391372], [13064094, 65062843], [28811014, 82769198], [38425523, 78834507], [33855226, 95977903], [50101909, 82437423], [97745654, 66851843], [97876942, 50835376], [2536575, 75081555], [10993826, 17942463], [51011231, 78237893], [44873538, 8414580], [36132374, 20698875], [93645006, 91026374], [97295752, 96099904], [11279771, 56032393], [22482355, 9337189], [4306520, 71986318], [50987800, 68233549], [72155142, 4143729], [41592351, 10561475], [29964101, 54277271], [31806296, 98647656], [59400297, 43689623], [30812597, 78523524], [64424120, 54837647], [24231747, 73579288], [70611366, 91390321], [94213041, 76157089], [56238685, 53267481], [74911432, 78602750], [98464029, 58941446], [7531248, 63495678], [25037615, 96637386], [40500787, 86669986], [32695598, 79406542], [35736644, 39679806], [17752730, 90976041], [5471669, 15933210], [39553277, 47224639], [80938394, 82357390], [55746226, 6935200], [96596216, 78698810], [89060235, 1764314], [45694772, 57669182], [34396040, 67796916], [39476727, 9028506], [26261680, 25281482], [70919990, 45359388], [9264969, 20193422], [9171950, 53204189], [34693591, 74377963], [8656861, 47168002], [86621272, 4666615], [38936759, 99303382], [29868294, 47724322], [33277840, 89661630], [75432131, 14419497], [20532795, 40546682], [51202461, 96842070], [16963774, 76785236], [84356021, 57291105], [65380713, 46965433], [65437064, 55457670], [87750799, 42447397], [23873890, 78160868], [26799389, 26259667], [64179654, 1205261], [12451678, 56731327], [26128075, 36120028], [18663308, 66963408], [49747966, 3563333], [29957924, 77732831], [55573550, 98123826], [84527806, 94679188], [94294428, 80159886], [78148889, 50644409], [52868802, 25524899], [31789155, 24114321], [6269169, 87152071], [1447194, 78614840], [64630102, 42240380], [30415182, 26462686], [38213947, 9723764], [11449323, 4705699], [81182254, 96636696], [66686151, 82400851], [52957393, 4696648], [30890070, 45441525], [38374164, 44688697], [4617473, 74527412], [16451533, 28356754], [65993774, 2228491], [62736806, 16752619], [17483018, 27294794], [47821873, 50227757], [31209622, 65353796], [10486332, 24814420], [91063652, 56669485], [74847485, 77674392], [8236111, 42865], [69733831, 59341380], [75649659, 48799416], [41332887, 96162428], [77698386, 4057557], [1078188, 73546656], [64274544, 73774131], [14470121, 81696459], [6143589, 74812859], [49877868, 82932960], [78346230, 26005239], [38775085, 18964793], [98889774, 53676720], [45984361, 29866153], [62972452, 29032592], [68744886, 20774235], [8912175, 95424204], [24077503, 86065973], [32000894, 48091359], [59065524, 19716252], [96154582, 42862791], [78857242, 4376059], [24489781, 79518273], [98550428, 64796180], [67509735, 25829714], [21931380, 78426769], [20718637, 97090116], [74172816, 47609261], [72639191, 97741389], [68483232, 37498988], [19487022, 13245717], [25810781, 83503324], [59312212, 91123924], [76336887, 65835725], [53129967, 36797857], [63665606, 57564932], [17715406, 58372157], [76487606, 65614716], [6439457, 58315591], [484401, 91345774], [42458431, 14695983], [76275065, 25001932], [34742300, 89317751], [60200638, 61843729], [88724397, 40031987], [44626434, 48339538], [9066192, 74639228], [33833344, 29888673], [61428989, 59395577], [74914687, 71177857], [46992370, 99426314], [72819706, 4519571], [24978795, 99700325], [52958436, 84864435], [43101492, 81841681], [29092608, 68343122], [67022443, 98302282], [65271495, 6476284], [48961019, 41388613], [46147249, 12812970], [25894884, 21913104], [74860866, 9979721], [36859205, 18717410], [47718994, 73186727], [85825211, 51536854], [18290374, 94422524], [10997268, 68459424], [70217524, 44458888], [10935841, 20249482], [5323034, 84546994], [43734289, 81770373], [82073898, 4606179], [22503147, 20630231], [79173791, 82928057], [80488531, 81271210], [55653147, 73467638], [95393166, 69183068], [37378012, 97247429], [78525533, 63471473], [61348841, 64616262], [84492889, 65839886], [77768647, 75180119], [94302802, 6075146], [37025209, 66936455], [87154161, 5774948], [11502, 4235541], [35637435, 33327186], [50223611, 42427384], [53067779, 33694354], [83664207, 77256997], [97176031, 39395915], [2560365, 35184021], [80604233, 37735707], [60222331, 56129314], [48013709, 92739849], [38572993, 7373346], [18377038, 82538935], [33752463, 9913540], [26262935, 44731298], [1597618, 23298775], [46295837, 20678753], [29139121, 70745289], [56543864, 23352189], [941363, 19561421], [13460467, 76945602], [99772519, 85358983], [33768316, 45473050], [46612760, 15562869], [62631035, 25569404], [3993042, 48722264], [93677220, 48430829], [79568309, 9090317], [42015635, 69661491], [7989874, 76363395], [37031378, 92584081], [33371099, 10923017], [24384563, 62760398], [94357150, 38436368], [78084244, 35476843], [64606176, 46565116], [37365567, 38961283], [71935809, 71203562], [64638403, 93036888], [76103540, 92838955], [65186056, 59984916], [55538406, 61256952], [17969968, 83117612], [4289305, 97344523], [93274189, 68427854], [58704181, 68237416], [59601411, 47732273], [15187954, 37057891], [85717595, 23421475], [90699668, 61345237], [98816534, 52985448], [60211693, 71870090], [77434507, 46890368], [79239912, 92725301], [96460544, 58827416], [17172267, 81398746], [3130880, 45746686], [66048413, 41055670], [2947372, 44052795], [66214625, 7539261], [79071994, 14838259], [89277475, 55868959], [91418909, 64479366], [71652457, 30511071], [95586856, 80717847], [30945008, 71924561], [85062514, 88703353], [75975617, 87427041], [96237085, 20892645], [11671264, 43303721], [36581649, 99296558], [50189897, 99763339], [96584097, 81683777], [82203831, 94502666], [74644746, 90561773], [1332374, 51348525], [73955698, 49589165], [12699094, 97223282], [54844909, 54904967], [83758897, 82680977], [99714647, 44836810], [20767363, 53243773], [65356770, 85530540], [21241790, 48293512], [12889166, 9308959], [70248820, 44820956], [29706544, 13113845], [87967614, 35804568], [12072309, 98615893], [92830161, 88694851], [91682201, 22314709], [33414994, 44971403], [20085416, 71917425], [71873086, 83785186], [32464251, 74445273], [86397893, 96552892], [59654373, 12161472], [36480370, 32519701], [83615435, 35064067], [93110048, 96186107], [6000546, 47763635], [50485958, 62688412], [40939340, 37224333], [66978250, 71125016], [70769493, 219351], [5038057, 10910998], [85169370, 86018243], [40402508, 61443681], [63169926, 32694454], [32472225, 99331814], [44639949, 42676642], [30821574, 38304191], [21068498, 96907608], [11066368, 29820577], [89706195, 1413105], [88757384, 58761140], [84716762, 82428944], [71172865, 82143733], [14941291, 95334978], [38280407, 67762433], [8518903, 16953562], [43138031, 56002326], [11031003, 53452803], [70233624, 76350418], [82791597, 95915338], [44576730, 28788408], [88767232, 91988172], [62084215, 28649732], [23789370, 86959697], [39647919, 31909060], [21602951, 69985982], [43746728, 97500284], [69591959, 79643171], [12466361, 98635031], [64173019, 63854050], [27899323, 68370506], [45020357, 40675319], [77013126, 24360935], [42663836, 40795628], [62190189, 56949687], [66431613, 93712989], [6859910, 33040376], [60640849, 51239441], [89954918, 92884045], [84749676, 67741975], [84171407, 45562540], [32673596, 34498183], [54355481, 79540672], [49876001, 22675869], [91348757, 86039160], [2068813, 53469016], [6785352, 68992947], [76180953, 84282948], [80461935, 76045774], [67368472, 85880588], [21494640, 67241781], [43930788, 49585422], [41173008, 81225938], [91211189, 37278420], [61596920, 71608591], [61075642, 30276637], [64766887, 52164342], [87642188, 71372839], [17223046, 20508037], [84621472, 98943789], [37868739, 59704691], [80621842, 61014976], [86344837, 38389742], [36543188, 42780532], [75495933, 42631620], [70882767, 93050765], [29246348, 49144597], [21196153, 31447539], [99140215, 17379130], [89056950, 97021881], [6414151, 55585988], [6043744, 14796321], [82778425, 51901376], [40424537, 16286325], [97992721, 71388074], [4932063, 23716607], [50863838, 38482159], [82051441, 97958915], [22065364, 85926731], [68599621, 57071914], [18743545, 63238543], [3882606, 35088692], [73406250, 65799125], [68571354, 16575652], [90901169, 30813324], [61742999, 76450556], [28492493, 94036845], [40078566, 99352317], [15411858, 62436494], [75251469, 62448490], [43664523, 78149906], [48189665, 12817867], [80770299, 3920181], [97121319, 70797879], [61197582, 48781009], [32553930, 6196634], [43854008, 78413308], [38791758, 80778480], [13875039, 577933], [74900698, 95989762], [27985000, 81784607], [50196184, 88826739], [32822282, 48278314], [10743814, 69786757], [98662941, 29689882], [60284122, 2479187], [86878427, 85760065], [82098463, 71217314], [62139783, 85263988], [74227895, 83830580], [22460864, 57798570], [60751484, 32661645], [93704600, 77279963], [31390833, 12044701], [95363677, 13290581], [76695999, 73361336], [32083452, 93327953], [19391720, 26025153], [18747118, 4336571], [41702472, 40549835], [29635894, 15312047], [93366048, 27731698], [69536752, 91187542], [95586547, 28125297], [26695230, 23635908], [52365227, 76559554], [30664734, 84482901], [22124241, 60849827], [87744750, 73886704], [24856276, 71768397], [85080168, 74728544], [99457235, 36865321], [70938671, 78112767], [12327418, 56210100], [85991520, 55810194], [98015612, 83274521], [39681888, 4218108], [27563060, 67224874], [60795554, 4009506], [51863557, 8874], [18949873, 74309654], [34369218, 87556663], [35591645, 10441305], [50711381, 41895315], [13285777, 3162502], [84870667, 48986053], [25426505, 82084210], [23443994, 83686377], [17604272, 55958690], [33795829, 91934163], [6184606, 82477470], [82648083, 42216128], [5659569, 60816351], [31539256, 57271581], [90204541, 30505797], [96281502, 80882594], [79457582, 91348375], [60711763, 29612178], [78438248, 58816721], [70400855, 17680201], [28443152, 39566443], [51992225, 85093169], [27606569, 42369004], [38074331, 88110519], [74412067, 79435008], [50721793, 22549778], [25538376, 37029704], [98392443, 16095158], [47265757, 76201577], [50898914, 2978657], [23716629, 80560899], [37572109, 57766485], [32576082, 63253772], [99156446, 76024241], [680683, 63716161], [98289581, 81950317], [16651230, 68852736], [28800702, 72544369], [57618533, 65227722], [95527404, 62281790], [62050117, 13006873], [61594787, 73576386], [9108897, 2088993], [96028274, 93169529], [19953767, 66185560], [62001556, 48686803], [15039151, 22070787], [49295866, 74780135], [91803184, 69331885], [45968761, 44627739], [64148208, 86109001], [8876455, 14988255], [72555470, 60517224], [55850488, 39174355], [38712120, 30101272], [60964514, 58624340], [99520987, 54168498], [48510585, 16003603], [74224683, 78253176], [44718903, 64618168], [85299946, 25740441], [89136471, 47628191], [82416261, 67273135], [27956356, 59654624], [90316210, 32018679], [53787306, 37884843], [30427635, 10011095], [28882525, 64275165], [92579092, 1011545], [94340286, 30605034], [41321562, 73362453], [96459339, 95502335], [88214130, 22257990], [21583315, 15898115], [94377498, 30162254], [32497382, 16922706], [1178301, 47430778], [87814571, 97460114], [35482931, 93083670], [38043611, 49375600], [28266460, 14489276], [75987936, 90188748], [72837823, 58947870], [46711672, 1192954], [37696242, 82584551], [83239778, 33871294], [54325705, 72926292], [91521347, 94906329], [84856616, 78368385], [24426686, 27802104], [88703092, 8159134], [38879064, 48940431], [27806031, 72175969], [29801304, 39721338], [69272277, 1776335], [91586777, 31075404], [62449532, 54005383], [69327371, 74075784], [74680689, 84399333], [50764469, 43210117], [33432608, 82330887], [7192797, 55195403], [28514314, 33867911], [51840854, 40176082], [50605419, 87278067], [61071580, 32166443], [36543193, 17768372], [62721881, 77943681], [44707490, 34965753], [59515025, 16299612], [95200650, 23933247], [95687111, 26780219], [15191447, 57718163], [94023141, 69458050], [55019731, 99863300], [62114224, 48690012], [31225865, 178394], [10028219, 33238928], [70555117, 58920216], [78882478, 69111075], [39668955, 14047631], [76133547, 92819675], [35886261, 9645995], [77759299, 47954432], [91650026, 96809820], [51971956, 99477955], [40953932, 23318929], [34296945, 21904390], [96902036, 3295959], [89251046, 48017010], [38227037, 96161257], [62259228, 43847502], [66639636, 86421424], [87046810, 66606516], [86197838, 8857066], [44961679, 43918131], [14436745, 11453364], [783521, 79743979], [2913382, 77972632], [13318615, 32946402], [46175272, 79568772], [59734213, 30425941], [27153103, 67395096], [86725907, 65315601], [64733220, 53110317], [28875355, 29446303], [12965220, 82013984], [26183164, 20697574], [84453523, 3294347], [88757174, 57360368], [5552858, 23648832], [26074049, 17968726], [60563079, 43134989], [84679341, 74969746], [28042306, 645702], [45659015, 51966004], [20345510, 46030171], [2520047, 3970265], [1028082, 5693186], [73896641, 28263107], [98128033, 19899554], [2370261, 60624439], [80328704, 14956828], [2423455, 48977600], [1517301, 92843173], [20795946, 41676355], [69681580, 15440626], [40841497, 62612577], [36591456, 25057012], [40538367, 37981308], [19410916, 70885565], [7263256, 89684451], [89595398, 14237876], [6214736, 77382085], [15827804, 41090239], [62352983, 84660860], [3163252, 71210197], [16168586, 1481940], [83365679, 3132206], [71353112, 37703692], [28724749, 53838982], [36550174, 70267702], [15397894, 22431031], [34075387, 75573624], [35974089, 91152725], [40646390, 79375981], [87771887, 33235059], [71678248, 29972308], [55198608, 29122911], [15217299, 4057469], [24534531, 7346580], [69774587, 25801874], [15196449, 64397756], [50974662, 46161385], [1229305, 70277034], [10630721, 39782880], [42139976, 71311157], [55135825, 2336731], [80047978, 77615600], [43413976, 69081569], [94254047, 71157150], [32743857, 73130650], [20148906, 96162101], [22660348, 15568832], [10239842, 97609555], [63370275, 98319844], [96438783, 76161361], [19353661, 20899986], [13227410, 14275758], [69118673, 54861246], [25871993, 97728309], [71463502, 51185895], [740107, 86424965], [63191540, 87022604], [97888657, 50353056], [74603290, 35968587], [62594202, 17767583], [95956696, 18721889], [94234024, 51179523], [6457450, 6273034], [74285543, 80420684], [85333260, 18350277], [66255466, 77816721], [65559610, 12076476], [54270157, 8252103], [84031224, 39752989], [67823886, 2427765], [45523592, 74188078], [36875529, 60223761], [26554728, 83326214], [21407193, 1599306], [76022769, 16762094], [8186776, 90620785], [4916020, 57141505], [79709077, 20600405], [93789215, 44019707], [15870660, 73928648], [33879013, 18807358], [85205735, 17981268], [28608827, 72324080], [75227527, 81186600], [61466188, 90383428], [96669279, 84859366], [14010277, 43054094], [21128077, 75558350], [20861858, 40779033], [20480478, 18813400], [28219262, 31517333], [43941332, 4172801], [9201094, 69608235], [52803849, 83684213], [34697477, 95927243], [20030900, 23342224], [26368998, 43925504], [89806950, 60060807], [59305298, 25952427], [51101782, 20835472], [90046463, 28440761], [45731636, 39366846], [86481731, 84764951], [58348741, 35667222], [61496037, 87075600], [88812516, 14335860], [521374, 62769093], [42182486, 59281490], [89901688, 33455595], [64184962, 98257744], [14393191, 88579884], [74341428, 19577259], [88096987, 12393361], [57141288, 59735793], [4632852, 58604594], [99523353, 31087561], [28367092, 24444003], [53388317, 46773727], [84787712, 29423778], [24005871, 92130293], [27459894, 10707391], [37780177, 65081311], [26434025, 82962325], [37056963, 18022277], [19207009, 19807898], [59056129, 74264764], [49020462, 45613899], [46399061, 44949480], [46403508, 85707748], [43252397, 78901414], [28427376, 7866811], [48591723, 73663938], [76714592, 53407375], [56552670, 45291776], [93037023, 50438788], [24325270, 7098123], [50072121, 61600823], [25283804, 37076878], [92946759, 52241485], [13223032, 67579031], [37300472, 9801640], [44870182, 66142165], [11847225, 77075139], [64519087, 89900045], [90390534, 48650491], [79183907, 27466214], [82900062, 66025328], [19134775, 35144270], [5100889, 74194166], [37214835, 26895373], [68037973, 68242647], [94170101, 60443182], [13717292, 77115837], [33882556, 87819344], [1687086, 52017003], [44637706, 33496669], [85842570, 30834477], [49934581, 61942090], [2705504, 52102517], [60654711, 99323675], [79839463, 26394705], [65334586, 39751975], [73542639, 21842924], [47693009, 8509192], [67590205, 37680152], [76128836, 438506], [74831186, 35778925], [35213174, 75821866], [71270646, 64092854], [69015996, 98797471], [20345530, 80298842], [87309630, 41247342], [2993079, 36754469], [91385588, 1228987], [342407, 6789766], [91540886, 16698443], [52431105, 77559835], [60637487, 45665341], [32617606, 41360741], [89832120, 25374222], [63903913, 91921017], [65680324, 66544915], [72296269, 1859997], [75403512, 3999568], [26908283, 82535947], [80798307, 37243995], [19964776, 25133558], [7170293, 53351477], [17473211, 57498441], [10891276, 70422479], [5404511, 58990271], [1754924, 78565687], [82488413, 75174056], [65324009, 67511151], [45601542, 93770968], [25920890, 59948350], [93482231, 87641973], [83425721, 82998305], [72949239, 18989386], [22119162, 88715442], [45017984, 56337237], [96828907, 80481834], [94313603, 50746336], [72269386, 89924072], [56350888, 71540893], [10359749, 5732542], [51103311, 61553817], [9189943, 46203861], [36010971, 12887849], [13363954, 33100588], [88198481, 10109530], [64114300, 38318535], [21090414, 13950603], [57490219, 29434709], [31363438, 76591060], [15280759, 60052142], [57394095, 37956216], [99676454, 27257191], [57116289, 14611418], [26056167, 15672948], [11667753, 60268468], [60105053, 70474867], [95656619, 70068308], [20284987, 64616302], [34460778, 71685798], [13265190, 182220], [90706750, 32242078], [92746531, 82983502], [11927879, 4491726], [8611210, 34728377], [72377088, 42888428], [47594335, 82654354], [69344425, 88696027], [16738948, 79974917], [60452752, 27536977], [48210256, 29238397], [85389202, 2767730], [7452747, 27296632], [94271351, 96945149], [33648336, 20238131], [9837264, 65983519], [20425615, 58593438], [65893101, 59462554], [41459592, 94982883], [35509162, 4191152], [98512335, 86055742], [41347207, 56800651], [84496754, 52965213], [52422430, 61505778], [69458299, 61011918], [18809529, 35339992], [77277712, 18762262], [50378827, 29402053], [20025771, 50825257], [69335071, 41961653], [75620673, 10024833], [60758818, 89681179], [52269822, 16262693], [84909190, 83177559], [86636140, 11458256], [86641875, 78233892], [73405226, 71104244], [49752693, 57595494], [95130950, 28276505], [50651428, 55268415], [13648805, 56606397], [9798998, 17144849], [73179568, 59495778], [47240667, 80620811], [10679251, 36800845], [76483235, 8016230], [49392522, 62149653], [99367940, 23855048], [2832624, 88970887], [32180146, 29406994], [50087516, 77642714], [96249181, 72920136], [56377861, 57778282], [90742066, 13357008], [24247996, 49020049], [73760844, 66653711], [62899558, 84062075], [30235686, 24173678], [83474285, 83653123], [46456663, 91582809], [90254499, 29224686], [43817658, 55495498], [60039298, 50428562], [74827420, 59350262], [7992793, 11197679], [45215551, 29819906], [69170263, 81888349], [17981697, 97529849], [34779525, 48543643], [4879740, 10363893], [7793413, 55943962], [37594729, 25655284], [2986394, 14984335], [45112746, 27546865], [1013897, 77168785], [92023822, 58167377], [13938294, 87649668], [66205894, 56997023], [74599682, 38706511], [85390278, 75045201], [21730981, 73173392], [84502459, 1039576], [2608059, 4672240], [66038175, 83010424], [53921004, 55109115], [26971961, 40857931], [91023390, 35497360], [40439417, 47389554], [87934323, 81142082], [88343118, 81413319], [685152, 55514602], [41637951, 1316414], [49468541, 5001515], [78875319, 99180095], [91967945, 37044083], [79685340, 60780217], [30974998, 96704872], [56923163, 9175356], [44451400, 91675583], [54917028, 92799383], [7887387, 76433079], [23063314, 82271572], [90767485, 52381917], [47797838, 83741117], [51078071, 46182764], [35572091, 37778541], [19610240, 41467300], [88744674, 42474622], [23786308, 50030115], [92204485, 36418565], [65114904, 25072295], [3862140, 3868817], [19180057, 91120225], [55980783, 42006964], [69167598, 18620815], [50596214, 33484198], [48085429, 56134454], [95221683, 56518905], [52293806, 92394971], [61668282, 30700046], [78246971, 98860556], [40149671, 2833496], [3735269, 62569358], [19636327, 92721304], [80478854, 85993497], [92844368, 2283697], [45898189, 33141890], [85745402, 63000883], [42539797, 90787979], [80196369, 32582536], [4501995, 65046752], [80199939, 53210623], [94419076, 6051452], [85836860, 93970243], [81603194, 80524921], [32314333, 58694340], [20417823, 75935275], [51567029, 68189211], [23508588, 56710065], [61252572, 71188450], [38533616, 67884085], [26809078, 48567748], [88903857, 95179875], [30001639, 46396591], [18220479, 95832186], [65511422, 27874757], [89932863, 85082269], [75609562, 79868225], [83046600, 52262513], [10547107, 70229235], [54045647, 27748303], [12480527, 2223935], [71866608, 4782419], [28509626, 7982207], [89965431, 39186147], [49546291, 92583608], [1492779, 67597691], [4301702, 90075422], [7359392, 84657036], [60624057, 18458013], [83401193, 23732684], [31286526, 10329153], [23534683, 93837570], [2786829, 353516], [711446, 55213888], [92899310, 80801992], [13804103, 31878655], [41131188, 19103959], [31825320, 81817395], [79176484, 93103323], [11483367, 42740172], [92778962, 7147644], [93570264, 85052832], [34542613, 1850404], [18524415, 42149630], [56939875, 23911093], [57907488, 5946533], [40163419, 11576750], [70450505, 6618076], [97665910, 44897098], [48469980, 85937159], [54102766, 8731947], [44591551, 89037204], [2816349, 5787267], [9735171, 10656616], [11928849, 52880983], [18318027, 34056950], [75934746, 63328770], [1098845, 26969326], [16063882, 66704230], [46942018, 85336323], [95679648, 52443195], [6882310, 97932908], [15183540, 28999818], [82862483, 41029382], [58219264, 66166633], [48722275, 96486814], [52600943, 1356182], [93314615, 31065611], [98584717, 23791093], [65849813, 21542381], [69821755, 88784527], [73211479, 37956435], [8814777, 78564440], [52514685, 189764], [35734037, 66005377], [82660692, 51330533], [22454365, 92139859], [17118683, 78779429], [75592310, 31609800], [34052279, 57812600], [54860260, 55441767], [9927695, 98433067], [60520111, 28790332], [13308720, 84998998], [79866482, 89866268], [12894633, 2456765], [28670664, 7524363], [67176349, 30710571], [24242624, 57853052], [451786, 77828013], [27783087, 5736551], [83483136, 15108217], [31904119, 7536451], [70376117, 53794818], [36170011, 1061677], [43962457, 7820737], [33429950, 65678508], [61437190, 74170936], [91096782, 39646706], [51375437, 99644325], [30088754, 50370997], [22466979, 3129032], [42436464, 69149662], [60485395, 93045570], [66639086, 63240894], [12812373, 89343986], [97718196, 87091377], [57167823, 96410980], [22825232, 97109370], [85717570, 23089403], [12127348, 4523769], [64684710, 85120257], [99299892, 36319970], [78518503, 65960573], [57912128, 12932770], [69110789, 3251260], [95097964, 19977832], [81667486, 69468856], [56698682, 32527338], [2287269, 55411779], [96199417, 47320091], [39915042, 79615481], [7580416, 1808724], [85683805, 41602177], [529353, 24888384], [30502724, 98876129], [72886185, 84075130], [94917627, 59318497], [76234583, 17896249], [8738888, 20438568], [41450165, 75320792], [71197090, 34769709], [48693691, 23074859], [34120515, 96799295], [36878467, 41572670], [47101358, 87770542], [23839296, 51124032], [33149946, 44606490], [92417359, 20451495], [22161223, 98905158], [22465861, 76196696], [75206609, 52843251], [75117783, 9151335], [24608050, 76682068], [98971315, 84191083], [42288272, 95458547], [18883397, 78705291], [8978918, 54541136], [53672292, 17282845], [24399272, 31805002], [43495941, 70721350], [52845903, 64438035], [16790889, 52620490], [26684029, 35967422], [67324086, 81769894], [41535938, 73175019], [84465894, 37018124], [84111396, 41934203], [59866705, 9743969], [49964524, 57950041], [25867566, 14271359], [56528904, 65857155], [69072522, 4516400], [68873881, 55848571], [2552513, 37736477], [8998097, 548978], [101097, 20749622], [10851767, 13948982], [30590747, 72020712], [30836128, 80926680], [85441544, 47083995], [8466184, 93202432], [6363817, 43397110], [80340690, 88195740], [34024732, 21760892], [82742760, 69134192], [28360060, 98442111], [61830365, 67741142], [82589260, 27537680], [95094899, 65229590], [67161211, 96922572], [4999503, 22770275], [80305508, 99016326], [72661293, 96391238], [4880565, 89467008], [51917790, 45554182], [43756938, 60456230], [88593634, 78923102], [55751760, 87015636], [3230869, 75313934], [70224470, 3394487], [74212183, 74943791], [37948873, 13224251], [38608166, 21300110], [54668975, 4096032], [37165968, 92507129], [67297203, 90401057], [42992479, 59501454], [76932869, 38807620], [62212012, 62668381], [63256127, 99250700], [53288732, 84086781], [43743438, 59958354], [41306643, 83541873], [53344631, 7971273], [82212213, 15632353], [23288066, 54378424], [68659679, 43403970], [74587186, 95286484], [18188640, 93644601], [16092265, 18173949], [46123488, 61006486], [45181603, 10041227], [94807129, 49116251], [30864876, 43159579], [63353146, 43317356], [66876281, 42995631], [26018914, 36284240], [15831935, 63982598], [83799369, 68575068], [78644900, 33284314], [19944168, 77030909], [16911953, 20587675], [99737664, 12158873], [81115503, 40609785], [97485119, 79577670], [59605082, 40626841], [98716293, 45848253], [50104422, 15501286], [35184605, 3584669], [87363434, 62257643], [43513024, 9699308], [86836738, 10338281], [54645124, 18647556], [18794550, 34789118], [51878424, 79578270], [15343340, 51798116], [47907539, 71485259], [11723027, 3851872], [10392450, 87021306], [97043817, 3058965], [8961146, 54017776], [38451427, 24779222], [94242482, 57789626], [58972542, 42952542], [22762483, 25488606], [8727487, 32337223], [45344885, 89724129], [16180210, 41106589], [68222303, 79451349], [47301400, 511177], [37593854, 59049276], [65639180, 65994972], [48147960, 84817094], [69229610, 68579181], [83349892, 61746480], [81287405, 79787979], [28237, 48229625], [68955468, 39126126], [80956488, 12092384], [7171926, 96841013], [65600634, 26159251], [10594466, 31518347], [92984087, 84261030], [25695887, 31718531], [22619370, 20704333], [62321927, 12595065], [90134989, 75757881], [31647818, 12360353], [88959255, 96578987], [74283799, 47443222], [31884935, 99398337], [50438248, 91751391], [49210460, 81657052], [71813344, 39478853], [91976415, 44164034], [62530460, 35702275], [62380385, 31080968], [48218385, 67558839], [25828936, 40299519], [87005060, 71072496], [34939060, 43045358], [71246515, 19602549], [17989414, 95847455], [5340272, 32848304], [87696429, 31018759], [72091679, 17369185], [50288897, 25431029], [85338770, 67719956], [78391254, 43762397], [35532325, 98843738], [37752597, 81261280], [7276630, 16824582], [24929549, 16169386], [40737223, 71313366], [79809125, 10622049], [43767036, 65357883], [54772370, 32104935], [58851955, 78160249], [50995073, 56342412], [48886365, 37785355], [78703258, 38471274], [66420345, 9482536], [82298724, 70062343], [27035691, 26582965], [41269916, 14992008], [86761715, 78742686], [43577829, 74776632], [40694892, 89961707], [9960933, 54299555], [56177301, 94022681], [6004767, 73562778], [69030478, 60674123], [93697139, 92063641], [27604047, 82340298], [48091779, 1722834], [73089848, 13107170], [42802796, 12419769], [49828340, 2515153], [54790310, 27898866], [96575438, 13517529], [88616096, 44964454], [67440892, 27630467], [91147439, 33160582], [67899363, 54406301], [44492251, 51736363], [90456842, 48883813], [86327922, 78022656], [67777627, 45218266], [41956175, 12761564], [39765655, 1319261], [11884755, 78643577], [80596612, 75976084], [64829002, 72555301], [68598535, 98532991], [99898792, 95719381], [27654399, 75794168], [65518896, 56263368], [65621299, 64210514], [47648927, 34427139], [99691934, 74283917], [74645859, 95283877], [31193113, 97618138], [38540567, 5524615], [67532905, 29913036], [45054095, 32511329], [6611696, 57528753], [98225680, 30125888], [87489987, 23561915], [13213868, 20165368], [30800577, 47890537], [8718919, 98422843], [18735920, 40148118], [64668730, 23246417], [48820319, 85583540], [99214578, 47798978], [6240139, 17982605], [63282139, 81359086], [82139672, 78810534], [63784527, 86309808], [91207429, 64969394], [62129706, 72943896], [68186125, 8663790], [95537555, 15954310], [266548, 82816969], [3784600, 15852141], [99967185, 60226517], [80652381, 80109501], [59915063, 74642176], [61468633, 30040431], [15658706, 42885775], [95102912, 29493951], [75553216, 39302260], [79899883, 68067665], [25820520, 19477438], [98964783, 4973579], [68481890, 98668637], [84074983, 50570046], [25930370, 64382475], [62253560, 36511793], [90706909, 20062787], [42347657, 42968218], [36748045, 39362303], [69563392, 25361055], [25856539, 69013522], [97363181, 57590537], [35342483, 9664142], [70153028, 19918891], [77382774, 54277752], [54294205, 29538795], [6251737, 83036373], [83556159, 99040017], [95851202, 68208640], [22844035, 5353392], [63511119, 19435731], [93908458, 81306008], [34550802, 15404236], [99546289, 29139978], [10502483, 84790230], [92199857, 88601027], [37631269, 7271762], [96693114, 72557889], [27711511, 53702719], [62731140, 92410196], [21400665, 33825241], [33004308, 58675888], [13916370, 14107161], [28953196, 75327417], [19313123, 90062798], [57658854, 76884127], [89913046, 90269614], [25158591, 12290559], [86497213, 45365601], [80173178, 4887989], [59801943, 30841965], [49492107, 53038829], [51538545, 89842192], [71869745, 52869084], [70292804, 96485748], [55001951, 50879285], [62904493, 92968233], [41439884, 1761010], [52727335, 24534436], [324273, 93248467], [73618603, 68279793], [37527286, 82103990], [50223020, 42966082], [83164561, 70564983], [70224245, 92624537], [33336661, 16327017], [91286117, 44880262], [84910281, 90526789], [6721445, 94162418], [38481552, 47398594], [66445382, 37243636], [90759643, 78098485], [52395280, 39296987], [65414064, 86357995], [40582494, 37628075], [86685377, 31687837], [39983525, 19724766], [31449825, 93138851], [66107681, 22824888], [81410982, 21953529], [44218171, 50859585], [8338414, 38958120], [6669028, 48638106], [18807358, 41865257], [23798295, 3554163], [86318263, 72661126], [21881701, 94922996], [21483834, 92768848], [8179122, 44277024], [59431776, 7592415], [31736363, 82138950], [6855067, 37196535], [38235997, 57930279], [21633559, 30522000], [90414833, 4620603], [39458734, 38212629], [47663846, 23927249], [12379896, 5200723], [68149456, 26950139], [63091172, 1409899], [12651713, 92619012], [65944944, 4133014], [6396098, 75223971], [98300083, 44146473], [15098559, 25788655], [99675151, 73072514], [45932601, 69021513], [85908263, 26727023], [17679079, 43104921], [73914092, 26310564], [11406647, 13600501], [40238370, 9799793], [33039822, 70459205], [64912360, 70525261], [88821861, 24090618], [61056892, 39667545], [58827016, 62580476], [30903724, 74207580], [42546017, 39864914], [28410787, 43522744], [39584601, 61685251], [81236046, 19815348], [85470085, 75247506], [13716992, 42196235], [48807151, 55537225], [85003404, 4202520], [25958887, 18620239], [40711769, 66733467], [45779946, 83315576], [93048400, 79735018], [80225163, 91562068], [55512984, 99656594], [55150042, 45270299], [30883482, 15382978], [24180380, 10924778], [33411504, 11736166], [33853197, 52139155], [46236395, 8605741], [90648658, 95358398], [40838208, 14589166], [96933332, 6419646], [57167210, 47515915], [61387311, 5331366], [1341383, 93129595], [80626641, 29695316], [78789096, 84525770], [27386864, 26066904], [81621008, 10535474], [45614467, 82542831], [6349128, 65741363], [59486291, 8149692], [29814363, 10656594], [2303022, 7681090], [76590331, 14538607], [94349910, 70645392], [91083799, 69472944], [12215432, 22400330], [4326929, 23538237], [57698278, 41330070], [61168214, 68790275], [64791026, 33827323], [48459124, 12363246], [58464272, 43529975], [29158322, 25919163], [83636780, 93634715], [10208563, 32577293], [33226872, 80260003], [9809232, 32200523], [44135224, 58275410], [90701905, 38499118], [37288762, 25051868], [31095152, 71033968], [52343946, 68674832], [58129630, 15252201], [72865404, 87494526], [15163259, 68813073], [79856523, 49449870], [33501774, 82661230], [81960981, 17808994], [21134881, 46321171], [46598657, 91196286], [47832268, 63087012], [92440271, 795860], [77335554, 39899706], [79114674, 15409092], [69713785, 34862144], [69597494, 73984724], [48663006, 18758439], [67254011, 64492288], [82858269, 83998877], [29273612, 17797881], [7123004, 9612055], [18674762, 36941878], [70634337, 80409677], [91502201, 40322842], [86846125, 61559190], [72011363, 77213752], [34859491, 44379003], [49949869, 9889509], [89376035, 97253353], [63297499, 90034096], [66512235, 20595164], [63311612, 36227807], [6490927, 30530502], [56642148, 88172829], [27598125, 93674430], [28428955, 85536127], [88948177, 10436186], [21070900, 7582726], [94200077, 70547261], [43936005, 42990114], [89108155, 77459365], [61951965, 59179449], [32340891, 77012622], [95662828, 82496822], [50844291, 96767640], [2198164, 17686971], [56842384, 6057142], [83983349, 64625044], [4912340, 59012791], [66385750, 86435748], [23860158, 86783321], [30222005, 56384574], [59242029, 35344040], [48491564, 54358021], [72178539, 612107], [39028805, 3781658], [25467625, 28973045], [96043376, 21937430], [16482155, 43726235], [9812195, 96308318], [9451637, 50675675], [25898759, 17315356], [29890919, 4212765], [58657479, 6982839], [50066455, 11544833], [20020070, 98393189], [78864582, 8759077], [18178220, 92380259], [89702070, 5096240], [29127265, 63571045], [68757108, 19450418], [53665219, 39949457], [12653193, 21154410], [32530852, 15686399], [67746223, 7497977], [49127953, 46220206], [41826, 75654139], [55268676, 14926118], [73088551, 7298028], [67699467, 24199483], [64093568, 54780179], [58894252, 95130738], [51059292, 40677704], [9987246, 88581679], [62388874, 65846950], [28270390, 12137830], [54505778, 14379474], [39604721, 28467577], [11283035, 72457297], [69006512, 37798231], [49341068, 79491392], [20653951, 10871530], [24926058, 9694631], [55077906, 52276037], [58211339, 6146616], [7236765, 51263883], [89716128, 71906430], [27766082, 89631178], [11903109, 12804360], [2408943, 1379265], [96089709, 86109637], [61916563, 58124112], [23068459, 19771997], [12457643, 9472088], [80867305, 58266256], [19942118, 67071896], [4366108, 54490582], [1239745, 12374904], [69389907, 39698503], [4579322, 59239136], [65839577, 92823829], [9419050, 92509870], [59598728, 33969053], [58038592, 45802186], [29732144, 44796071], [71997051, 52118204], [42479115, 16862690], [35654355, 80937911], [13636487, 90107037], [58709087, 62351411], [56474650, 57425754], [73356302, 69664618], [79443580, 84930408], [76808979, 65961618], [39997971, 89722872], [82211095, 77960201], [71010919, 59620264], [73835867, 4652931], [82273853, 59675214], [46534936, 56726303], [99724751, 43771437], [96245428, 9702812], [87994520, 48387247], [11550719, 19009330], [95055682, 40120688], [46996655, 18543814], [47434892, 35033706], [65078380, 48663623], [75773044, 20123344], [98277013, 86697428], [77626951, 82782781], [9536037, 31135117], [29299270, 73320975], [56420207, 10146814], [69195302, 59737122], [34014454, 63133930], [86026470, 521368], [67712259, 53527631], [50565393, 27390445], [57794295, 76879016], [17883, 71992500], [62813587, 44580886], [35918413, 73070488], [24391753, 98388672], [36693768, 39340273], [54184173, 54172781], [69113693, 81403442], [10070925, 22663237], [80928270, 63586091], [63760338, 60244035], [39837074, 12108038], [2997661, 24807745], [79366356, 39368122], [81352759, 73704146], [60255780, 41942934], [7154551, 32744410], [68723411, 9412104], [56512917, 30256711], [82403949, 16044519], [86680025, 45631412], [74316806, 2300519], [19533300, 20177713], [86860392, 34888305], [61003820, 21773237], [17755327, 50825352], [25766986, 6978828], [2523041, 17889162], [82325448, 78317063], [93802068, 15738041], [46734566, 20481829], [70293914, 1571960], [38772257, 29758284], [90130482, 34447023], [73554256, 44915775], [65419659, 44569209], [64497439, 10125822], [24950998, 81368282], [12189828, 91210888], [52425527, 55825076], [83995040, 2457443], [38713604, 47426558], [90577572, 15039184], [86963570, 19348356], [21497052, 50758693], [58628712, 50661594], [80174184, 95331143], [86034600, 68533879], [89002681, 66407159], [30163699, 85556820], [15873388, 69542105], [96940946, 26765034], [88761033, 2739786], [1748663, 93310177], [61241395, 9101898], [97674663, 9018453], [49502595, 24709246], [7591673, 23318961], [14961967, 94986375], [6743409, 71585564], [17223190, 41230876], [47534935, 51355823], [18282701, 93610907], [57257706, 43475186], [92008842, 1112953], [82085536, 42298441], [89750283, 90701224], [50274466, 92532573], [82781593, 78666327], [61827437, 95877197], [39794116, 73911581], [93595594, 75396748], [95411269, 11532333], [56491723, 54095775], [47928019, 15466909], [42916706, 89057219], [35882811, 8746245], [31806537, 13707080], [80200493, 72418694], [57772748, 45542817], [81937868, 79493854], [92155388, 11310129], [35771898, 9482516], [43346933, 24503894], [68632234, 29092003], [77953661, 8147596], [22235246, 1858070], [46800620, 11482248], [64980368, 51047305], [37615679, 27859561], [54441351, 64985769], [25235788, 15457920], [90783375, 82860804], [53688344, 66448955], [26214360, 20469725], [64727659, 85867534], [77994116, 30601093], [40417040, 78605406], [61391409, 24955619], [58991684, 7051521], [46148549, 84733026], [51951688, 68452270], [25020342, 90236033], [25700366, 92364909], [50800591, 88824458], [10406279, 22687017], [45530178, 96377530], [67408313, 1916860], [14114355, 51825283], [13017220, 62332499], [19395718, 3523819], [55249130, 71633002], [6103642, 9156250], [99254515, 86617387], [87746666, 51691054], [13311192, 52807415], [56745350, 43875947], [11620278, 45985256], [96674359, 18693409], [49061850, 72797633], [35136460, 91849696], [80684659, 21348730], [5117463, 47497243], [39628294, 31516678], [65611825, 3803389], [56648134, 21690152], [109797, 92813859], [91252949, 404886], [11800216, 1169693], [26550061, 50389263], [82553036, 23291186], [49326164, 35363278], [70156007, 25710785], [24004270, 45814422], [98592969, 66642247], [95738089, 51393819], [86944887, 98363672], [31568404, 35475967], [66865245, 54928371], [82271298, 76153215], [76933105, 65812488], [92448479, 72310479], [2878849, 79692782], [50739484, 91452551], [61888577, 15929098], [81673453, 42314381], [95340934, 66339078], [57782696, 23001404], [45653619, 99504162], [95326399, 18180623], [69481441, 99533238], [42040009, 67458318], [29340451, 55216647], [13496082, 3215226], [78541328, 78958309], [77295299, 96258578], [38578472, 84913693], [80565472, 87992443], [78585059, 36473165], [8807467, 21327330], [6417537, 24108661], [86796885, 41770392], [8662477, 13491306], [49154347, 11053637], [25732401, 99865440], [54503182, 69378578], [79173571, 66012292], [40126341, 92812777], [79980671, 48802904], [95039295, 32532304], [89308648, 76960310], [65218665, 83698743], [81557607, 28419462], [86435631, 62769359], [12550464, 85703323], [34180101, 63940427], [38713027, 34635142], [21544222, 67197057], [50754789, 15263662], [78862984, 77134663], [90606532, 34242252], [56283919, 83476455], [67161408, 72028755], [46147611, 37238494], [20560974, 45655612], [71719359, 62839924], [31893032, 722541], [16309717, 75750175], [66528739, 5408679], [25711378, 10831848], [88744557, 13738513], [60061896, 51367423], [63729588, 94370759], [98515779, 79718840], [61472234, 63147832], [93726686, 52692991], [84238066, 26296611], [13396354, 93415573], [29000457, 96950045], [70089616, 94358610], [48028726, 1701140], [25355026, 41661456], [95370164, 15908877], [48291335, 98492962], [82579684, 27320282], [89006786, 36108382], [33264336, 36918914], [77703348, 59243288], [34122028, 79916647], [41922742, 71950250], [69885122, 29619673], [93270494, 59559148], [61857431, 56094470], [69074004, 3208554], [42052815, 76964013], [11504251, 95610465], [71492752, 32951484], [32146391, 80098560], [57989908, 32473047], [40086023, 24966356], [17488707, 64599788], [78799731, 60822955], [53113748, 68603988], [65804084, 98611524], [74917181, 61987479], [26822474, 57517836], [41236984, 81899098], [59125600, 50915224], [36986352, 9337206], [56178129, 9793662], [69389179, 73628482], [4240447, 57525398], [43137842, 98349615], [23099498, 36489036], [92926448, 21584171], [27894646, 52744144], [60883953, 45281426], [249779, 18797291], [49746550, 45782785], [73140804, 18324517], [86544260, 32438700], [8800987, 91178737], [77876423, 1325273], [5410795, 74138925], [97227704, 94063444], [54234633, 84883782], [36455087, 77285724], [79865835, 52843682], [54214385, 2690026], [78725947, 11722391], [30162209, 11538856], [72556088, 29387368], [24806945, 45518432], [17360484, 97371935], [84902525, 54844745], [38967085, 64112563], [96777596, 29912281], [83574537, 57199023], [10974447, 17296603], [28466020, 11611414], [84065214, 66443841], [6219848, 41889293], [27611470, 10904709], [4050138, 70393257], [36751483, 52866099], [1441483, 77059502], [80622945, 36422098], [45968936, 13078087], [58842586, 30083631], [46000143, 71120267], [92420325, 14095442], [36138119, 92228788], [9506235, 28475488], [24180758, 82063034], [25760742, 94687189], [75696997, 57431384], [77311989, 178572], [17726296, 77978358], [58864982, 75400552], [1769773, 94449517], [67156490, 18360966], [17439749, 71246803], [93149738, 6201565], [56668574, 47627125], [12453273, 15773452], [57408748, 20754658], [91815682, 9277427], [13639783, 80358654], [80252584, 13137244], [39313571, 94548323], [93810668, 66710992], [27554065, 47158489], [56155722, 40039159], [30457237, 54623451], [41232684, 99820071], [61870595, 80837787], [51004482, 87960271], [83279140, 53091891], [39297584, 48158705], [98203193, 51916886], [17130435, 95314168], [1770055, 52219207], [46083061, 67166802], [9168995, 33008647], [56920571, 85665405], [92166781, 64002058], [17234049, 62034059], [41986839, 50413872], [14468866, 55150285], [78168075, 78375051], [24034112, 51373875], [41347017, 30650876], [1458510, 39978274], [65222070, 35813641], [84929709, 61324569], [47568922, 54289043], [37657026, 65833472], [76809359, 19277560], [29221199, 39617888], [63046120, 46696591], [49954763, 79044840], [25593690, 26408433], [79086874, 80769613], [14103625, 85724242], [27121377, 2024060], [20600922, 27788136], [67145071, 13186787], [69992836, 19313762], [6720448, 31976739], [48634132, 71649024], [30561786, 80252593], [53157535, 53676186], [74577554, 79106600], [49664305, 70325933], [60217219, 4461297], [28210688, 36805039], [82097037, 78127690], [13935965, 29325530], [20954676, 91142958], [41625397, 51841225], [28808700, 23010430], [46671808, 85781010], [6569940, 2674245], [18235040, 79291733], [65974180, 33838897], [68538399, 30863703], [55829136, 88676910], [71924690, 31952511], [15139001, 61475449], [21094270, 68922298], [40137875, 2460251], [45383103, 1906342], [36354509, 93821177], [70995134, 13021512], [21863371, 63879715], [89176058, 9001582], [47700857, 66803254], [79036748, 5985064], [36729560, 53356717], [18333054, 11689501], [88367717, 41700287], [33742317, 23157815], [79580642, 4838996], [23489084, 1649934], [69479634, 29457208], [47012902, 89824230], [88067182, 88027471], [67517592, 30665068], [69467796, 39974922], [98965353, 97006424], [73517811, 68766078], [30759081, 37899313], [2810948, 43626314], [80433385, 37263006], [10012994, 93771281], [63140498, 20723203], [42677635, 93394746], [58460147, 45484559], [54408990, 93018958], [17765838, 47897952], [96812387, 65469183], [8660055, 18725771], [12966287, 66770087], [70904182, 87081153], [52472418, 65182148], [54990355, 57232407], [48621093, 49439573], [78210849, 65524431], [33944066, 40673646], [42556116, 9816674], [87150032, 44687359], [61854998, 64186380], [31853023, 85835600], [46154721, 48202239], [19741526, 96304314], [3112847, 14517315], [98964171, 8897537], [80302896, 94724640], [97532716, 87102653], [64207072, 55286396], [30905500, 6076780], [96438572, 3275709], [26744882, 88354304], [67879793, 35152595], [83517781, 20226590], [98706331, 70059216], [27503164, 39168012], [51751071, 3578609], [97013299, 12980674], [76456778, 19142304], [42136265, 78385252], [12076191, 75419098], [72925349, 35720363], [94256003, 86131851], [32120735, 75217657], [60319293, 69179390], [85090312, 46023244], [9204862, 58293318], [73549935, 15767887], [61363065, 87342122], [193331, 93211833], [6895180, 31922676], [39367648, 11007675], [35182634, 43972104], [10037121, 46320028], [42282814, 1778696], [87698592, 97851467], [45190256, 31819138], [92431785, 12393921], [49770599, 51753219], [12321870, 23648024], [64820504, 20932640], [74155875, 11836785], [26757828, 76973289], [14573386, 15689716], [92178750, 64739442], [61097411, 38674639], [14276790, 85488742], [4358144, 58153200], [605907, 27618805], [50237228, 96512282], [42137646, 97274004], [78671020, 57898127], [25564181, 98917754], [98911427, 53669505], [82494009, 71377275], [93172912, 37723649], [83727542, 17614426], [67419140, 92286388], [62756934, 14428925], [75414599, 33234808], [8689671, 21855739], [84749973, 59410512], [87268169, 35196895], [17870926, 88693868], [56570381, 28407788], [56421045, 63070588], [1936262, 54187024], [39392341, 56790806], [93121526, 63710002], [65093499, 73973603], [84663175, 28929279], [86347574, 72450630], [1771288, 17333274], [10034835, 72609685], [73336115, 80237446], [40431151, 34850028], [17144496, 99730043], [68677319, 16956103], [59596774, 88949788], [40265026, 76390033], [25043078, 51005989], [41516442, 60823686], [12663717, 8056941], [17261355, 64759272], [5655481, 20252516], [92194104, 21918290], [38881210, 46054621], [85876609, 47742005], [82667062, 99524377], [25362283, 9531791], [40715100, 50680408], [91097928, 87716506], [94511013, 92203238], [45176617, 44521517], [96621658, 10105549], [46812477, 5012254], [31296420, 42160186], [29209420, 2808315], [10041655, 94058733], [61563548, 61050279], [77819552, 79968310], [70133490, 68620154], [56569322, 35090275], [87485831, 43610531], [6384573, 64601131], [85017147, 92050997], [10480088, 67748561], [51677993, 49241376], [33184368, 83132579], [45879676, 52964121], [9600768, 26898390], [10276765, 5492271], [20653704, 92114218], [87097558, 39686395], [53614605, 80835876], [73823846, 49640606], [28953270, 75359658], [1421841, 41018606], [77992688, 3810922], [57991960, 64078964], [29332544, 6143565], [67495927, 16406233], [86106352, 54137536], [77643378, 35187051], [42410396, 67257862], [91099869, 16284467], [37587114, 71459639], [52819447, 16953572], [56507066, 38597081], [59564453, 76749439], [3137447, 27349968], [79122362, 85031729], [6854450, 7604101], [71166254, 22617360], [49868416, 75251778], [70796035, 96053239], [31035395, 55377757], [97365570, 93531058], [91170582, 1909001], [33223506, 37426559], [76414468, 66918539], [82644165, 8992471], [8719654, 81534218], [14199727, 69834702], [48291591, 89412202], [35040018, 72407128], [19902420, 70145739], [20589291, 89901640], [10443602, 20694733], [35414492, 36456111], [41135291, 89491825], [324566, 51623298], [65485847, 78558867], [19287592, 47424058], [98821154, 73977822], [5310021, 97074730], [10831755, 31926716], [55947871, 77756875], [92773464, 12411087], [31906029, 45318775], [14093589, 23178081], [1972455, 70239138], [73908900, 94399460], [94391777, 72964255], [9091375, 57518140], [22860498, 5451016], [75170712, 28769604], [64330184, 39942985], [82255538, 65231056], [99014329, 86935662], [11000464, 1535047], [70541840, 58139646], [30645023, 29823955], [37451169, 32552881], [38696398, 50183426], [36030840, 33584243], [30026188, 51954055], [93404769, 12321188], [4363889, 30292205], [92434730, 58063571], [93067739, 89604924], [91449254, 51635535], [16199989, 83355607], [98687428, 86293622], [39396490, 65933389], [6521402, 92453025], [13421784, 97059725], [22475358, 14414491], [26425567, 47963863], [31386148, 70833282], [7611156, 73326047], [28845162, 15738230], [30597474, 66796641], [18095439, 7207925], [73548904, 95220082], [58693316, 9828728], [6245649, 56927149], [98093571, 64098048], [80707550, 64244696], [15019586, 32956396], [89740179, 9268168], [41574064, 56963614], [12899714, 99255732], [91474069, 9056090], [49925561, 95206055], [2509953, 98158945], [93260168, 24430483], [90282526, 13010232], [38431240, 18927107], [52511978, 48556921], [28337351, 32980546], [54129065, 97390922], [28165360, 32507746], [59533593, 11898501], [4977515, 34864448], [7337792, 9539435], [76665597, 84306563], [27335237, 50153298], [57493074, 66079552], [3748257, 31388642], [87981354, 64721309], [18554264, 72853702], [6890671, 68532217], [41424118, 20925722], [64749749, 89708542], [70920893, 11806860], [905535, 65327430], [84318808, 53660293], [43322539, 32593081], [86037800, 29573284], [56514360, 57887029], [69134260, 96141112], [44259617, 71159068], [6301885, 85358271], [62233584, 33262650], [21043504, 45354909], [10043541, 82021691], [53524914, 99779984], [29307342, 80561766], [67881663, 34844845], [73769020, 85161062], [81323404, 75707945], [10027440, 67018362], [1408988, 20748944], [37459407, 74093032], [21486308, 70063138], [58468624, 83927870], [93481871, 46788725], [32228433, 32979933], [10003289, 47748282], [58825783, 47730059], [88216827, 94221730], [47494458, 52403254], [32617517, 31824877], [20302684, 64443243], [17091536, 25927066], [25970635, 30222580], [44675769, 45142209], [59063897, 97455666], [98747137, 13942784], [42517214, 27885690], [49097708, 77468185], [44581671, 78353392], [75225813, 82905621], [77889182, 56657427], [9832048, 83381152], [48758594, 62300051], [56039324, 54995960], [3662604, 55327987], [36812543, 70907892], [97083039, 15927757], [88392858, 51605431], [86419857, 21265522], [8027820, 42416242], [67063136, 71171747], [41795452, 51987953], [67241403, 58278905], [10678856, 53407212], [20420882, 37446677], [72251738, 40531887], [54116260, 56479370], [16967069, 68995174], [53866371, 44794806], [34509000, 21352634], [60031140, 27943114], [29125159, 22487305], [33497868, 26401704], [5379918, 5979328], [57605234, 45951060], [80989453, 77536078], [14992424, 95393743], [95271439, 52146172], [95694752, 18314087], [20983894, 46825203], [83026663, 16197520], [57902192, 41544388], [77975313, 46712103], [92159521, 91770368], [32337986, 10875722], [49647104, 4912790], [95583606, 62518401], [83852641, 82916187], [51755445, 11324030], [25410777, 34595859], [32613455, 83963200], [44602985, 99676759], [23792667, 11596048], [81456408, 11158730], [51394562, 11051877], [27139219, 79373879], [41762260, 26426221], [79592252, 48373152], [70510585, 82976694], [79473209, 44734646], [98572659, 29711077], [92102285, 94462379], [69472936, 14360430], [50298188, 64530105], [32939923, 30974], [87820576, 60718284], [64231923, 57729370], [52484980, 41516439], [88860809, 82910145], [55187696, 9331947], [18582728, 17721086], [1767252, 56198451], [17295457, 68004551], [59540672, 75267331], [73369421, 65676560], [38618003, 72564238], [15011737, 12650663], [15633301, 65394049], [53157680, 64427249], [8910544, 19920614], [18132120, 51042273], [24458158, 91655646], [61480899, 71884522], [59849706, 69458013], [85696547, 88025932], [32197023, 48453740], [88804831, 69238177], [54321200, 42260328], [10175958, 60175175], [85438982, 15376563], [50981524, 3589493], [17780354, 9545608], [18154310, 66761750], [98832734, 34929970], [46106578, 38604562], [5438202, 67275976], [31267591, 83491634], [59741800, 92117130], [46976153, 70057747], [79341082, 56307494], [3868050, 7097615], [79620995, 38590171], [73527520, 92695476], [45873749, 20893181], [43623213, 96867450], [51716427, 33188232], [43726931, 11486303], [99657994, 17207285], [48029811, 58093163], [94431290, 91728077], [73456990, 39207100], [91820726, 80873003], [24767320, 71518203], [64727167, 55532259], [95431109, 27713264], [19388721, 19250777], [47073174, 23187243], [28223091, 89229846], [45388146, 6275436], [52619123, 30460952], [69441267, 51587610], [90449586, 79187039], [59603764, 27589035], [71141125, 37825586], [48205023, 47861817], [7188373, 90805442], [73523651, 58374451], [74562888, 57586049], [50285062, 45722058], [74909624, 22756497], [57879114, 49997164], [28676041, 85830845], [70431177, 13813788], [37616233, 77388823], [27052078, 93073610], [33803868, 70984037], [39815609, 41039976], [25695519, 34227297], [93337381, 54233673], [27382639, 22660976], [15790212, 2977144], [9931019, 72517407], [33869827, 44568476], [46460464, 6956337], [56353571, 37877277], [66347408, 96117784], [17312275, 4532000], [98509199, 32662291], [87021052, 10680176], [54671149, 93857520], [35791195, 36325201], [11540880, 51443157], [50596332, 72177359], [9290042, 37176472], [38829510, 45217058], [70311669, 30080240], [64125943, 41874393], [42935345, 29635549], [74276449, 80557013], [69125935, 3593315], [8516728, 43784928], [69541740, 29662928], [35818591, 39899628], [34599357, 28021359], [25835659, 37141544], [49830203, 43521454], [2282907, 48021924], [94571164, 70930437], [53334086, 11498803], [26141834, 62519411], [41772749, 71426959], [9715694, 6914273], [65214846, 42265266], [46156394, 64284085], [1217516, 18896476], [14868729, 23925070], [72688234, 34061493], [44580151, 64068947], [13439551, 6878103], [44916886, 9915533], [48079048, 50473752], [58830247, 98738423], [28219018, 31100520], [37731126, 28910977], [3767980, 55443849], [76348705, 32915158], [34550190, 55785213], [47953356, 42457557], [82249606, 87927385], [3472325, 45144462], [1568364, 98233747], [7962458, 51128271], [26797571, 66776130], [99891145, 29761915], [51214235, 17064829], [30748473, 17152922], [52700035, 70744488], [73625660, 22829822], [32626125, 77063241], [46139413, 41756746], [13676210, 46219084], [46286798, 97762157], [38394287, 45279590], [39464515, 59443785], [43784172, 94968358], [3780027, 14807033], [54395749, 92408213], [84272529, 13305961], [49785165, 35994058], [29567311, 66440003], [73203365, 39993757], [23671823, 93290354], [77625467, 17416592], [95360146, 35314974], [84803766, 73568486], [6284546, 80352918], [63024770, 58199429], [85194128, 95449030], [35395191, 72963457], [76740418, 66023654], [84928521, 46233798], [63046663, 4800217], [93096038, 98158636], [44510891, 77969059], [73695049, 66426920], [61511920, 69997318], [59479275, 57877091], [27490835, 35766186], [64711543, 87614360], [14517175, 90090985], [9376117, 85339440], [14865416, 24844273], [82087650, 1040764], [86501430, 57977296], [53994978, 42429578], [49750341, 59521015], [15106024, 12154864], [26903534, 48476507], [58705425, 33204376], [67704352, 70877407], [21130646, 60770294], [91424219, 85847790], [99007520, 90600102], [65302616, 21481063], [83982920, 84720091], [18948259, 7725408], [30273148, 93498032], [19510569, 56570744], [55178054, 44127871], [89551940, 82005364], [81327492, 13830205], [35013023, 41198861], [79242750, 84492204], [38289649, 25128067], [13757307, 98763612], [62911304, 14855868], [3764108, 93183992], [91305788, 92732176], [10790963, 77674555], [43481664, 40363233], [48488600, 56342165], [52927673, 58803563], [58097931, 57866930], [72083513, 92706514], [43905789, 70362374], [91835553, 87219578], [19606302, 88164753], [89486877, 11492019], [35797561, 46010308], [15943526, 43369665], [37857192, 64261368], [80218233, 21986629], [21477450, 5313111], [68604363, 66743205], [6719999, 3325068], [34554406, 16627080], [72212156, 45664364], [90936054, 73130756], [84855670, 10175336], [21464212, 61669354], [21006762, 23601632], [22121404, 61956969], [16610232, 89733001], [32883243, 18478959], [71886947, 83766988], [16555743, 56404433], [32574171, 67166541], [17984212, 75644348], [68397483, 22074040], [55588986, 16865005], [47005685, 75666263], [73360274, 36356524], [85082391, 31880451], [70668302, 18925045], [21297248, 49449587], [53756691, 41491142], [13840495, 95045016], [27308166, 73322885], [77470105, 93803349], [97026150, 48389285], [54522091, 31999324], [68451437, 5450132], [29025945, 42120412], [10244675, 53069351], [48894931, 9278898], [83592634, 48801426], [59358119, 4908052], [41953013, 13440150], [68263951, 91285353], [3220170, 74542304], [96431778, 69552982], [66080266, 10180853], [946807, 16611910], [90482867, 42378192], [28801227, 63895741], [3026022, 72390427], [65700295, 440183], [15596937, 77089992], [60342410, 82364789], [96238709, 87938215], [63986787, 8040207], [22516092, 45933417], [55110158, 39225333], [63064508, 21719338], [32027233, 2986734], [38050221, 19759759], [72679043, 5950799], [44300146, 56943999], [41223734, 60076187], [68344532, 1311677], [72838600, 39176591], [79006525, 15199352], [69100918, 76389868], [23739649, 98553424], [6341402, 6136747], [11095811, 2382567], [98889085, 97101499], [52504568, 98720369], [41835715, 51028813], [26162936, 15871926], [82993503, 32906924], [75150388, 62331956], [35611828, 40937905], [28379591, 35738713], [66234290, 86205536], [5445718, 14731715], [29073735, 92817169], [46280838, 25307575], [29158974, 77087881], [96994736, 46786797], [92348107, 10100925], [61892313, 4994912], [82870395, 94741468], [68330584, 84835702], [96881793, 62233605], [48050627, 89809923], [22462434, 51234448], [91058732, 12390616], [26014156, 89284502], [31555970, 1726382], [96798237, 34574724], [41731629, 48963972], [82519223, 10452936], [34060692, 85391051], [61897363, 59722332], [5018210, 34335095], [7609057, 75767169], [88623974, 77968646], [91386800, 92074354], [50741263, 28104647], [18558471, 37800705], [15158346, 17215015], [97969477, 97431511], [43316735, 5301297], [42297158, 82889659], [75242796, 99312945], [50808917, 36279747], [98234006, 48306346], [81180812, 64873315], [98028975, 16705769], [23385781, 73471062], [64789000, 60464827], [23315838, 68283615], [73645187, 95247612], [4963075, 69348955], [94838126, 3522914], [29608510, 24825139], [39861673, 98165656], [30506678, 6327064], [4061051, 77825226], [28489574, 75334688], [81610751, 14219635], [96323022, 20745300], [19315666, 78663000], [4653237, 25154076], [67365231, 31304013], [94145545, 8900531], [67205925, 83803304], [57545988, 63288031], [57057451, 79524539], [72246062, 72177637], [79241318, 12277199], [74500081, 90780223], [72925616, 81729763], [8681884, 70400662], [47858218, 5507493], [31102957, 59360741], [54193029, 17524557], [14861665, 13154416], [19238010, 71957727], [81861885, 81601996], [27514026, 60705449], [90755389, 59146763], [53547209, 70656754], [79989367, 2070508], [70425205, 23959657], [60269512, 40127548], [28546343, 51723152], [2647765, 19717137], [89720892, 89344136], [23813405, 66859995], [34306472, 16694671], [85072478, 24440112], [17856594, 38664110], [28490637, 76951516], [4705768, 13270011], [91444593, 45520981], [99983583, 29648485], [48595571, 2936293], [79583250, 65930045], [7772920, 42840147], [4473588, 55252897], [95091930, 75724712], [38595997, 19964545], [36009982, 28740647], [16200686, 43593054], [30845301, 98045876], [30083288, 77077494], [22437192, 57616918], [27997193, 29016626], [35010846, 50927897], [9949300, 77078202], [16052402, 57463702], [89234021, 1482518], [19320455, 84444045], [58118904, 83715385], [20306921, 53326047], [6792176, 8052483], [72227033, 18626880], [17494634, 22443179], [14618473, 66515690], [51569827, 77617958], [97550385, 49239696], [28238743, 50258983], [45744575, 83176835], [98513273, 20803621], [6247346, 54789911], [2425246, 38033779], [88224489, 85215853], [7398959, 39849846], [76860918, 65034516], [11505463, 90787876], [50843005, 87369046], [36103709, 16209471], [95422412, 19755913], [83177321, 45400669], [384316, 17090675], [51328071, 5345346], [24023493, 58975284], [313057, 96110481], [39150580, 78803628], [51068415, 36220282], [68511410, 97076353], [74899693, 61846249], [15135711, 68640399], [3803861, 37738676], [76563266, 50122044], [74346774, 14460654], [76336922, 48155939], [47085075, 49107591], [56215029, 20805348], [22804271, 48788973], [82766877, 90649311], [31115310, 56155551], [51444114, 38354341], [66148168, 3876073], [7399454, 43078588], [89342088, 15301384], [66022059, 52653690], [27649933, 71997787], [59649723, 23236340], [95266055, 49662353], [52600821, 90075839], [48445671, 92113831], [43157146, 68010234], [41851658, 21068606], [65131793, 6055140], [84284363, 22222037], [4701937, 7302883], [50655021, 93077182], [54085478, 13774191], [83026007, 82172556], [62511338, 84852139], [24287280, 78615658], [80808160, 5937587], [18694206, 90494030], [34055416, 3458587], [31295006, 45288019], [45191492, 65524240], [36069112, 6245677], [50484390, 1821069], [33554105, 59386173], [43092743, 19507509], [72178735, 96208090], [9852246, 6392757], [14711814, 73117929], [80537126, 54459801], [49795910, 14799798], [59305080, 49755781], [66951499, 65422572], [41574603, 37946850], [90768534, 50593618], [46843856, 70600782], [36408885, 25379376], [58461867, 13441866], [57991345, 88138380], [66592751, 41568636], [80932169, 91987171], [86830681, 41858557], [39537080, 314738], [94945748, 1122846], [43047553, 87139590], [49367589, 69597929], [6592103, 12903539], [77413243, 20234320], [56252298, 70700776], [82705582, 86074064], [13731558, 40413334], [15700064, 67521052], [68115718, 60289947], [83918440, 66123292], [89411272, 554423], [98216804, 99530071], [81223050, 51755843], [49535182, 85581494], [37998430, 25501412], [19345983, 79501035], [23528537, 57923237], [8463985, 58778088], [97140393, 14834707], [30758837, 82712376], [26865851, 80082380], [48554276, 44001426], [73260853, 78280885], [17338926, 33898871], [22099496, 60252210], [28787383, 77030126], [48171351, 68208992], [88373416, 95792561], [3927695, 76322348], [94591550, 43195463], [68026808, 63785470], [88846904, 65091116], [4259944, 11439072], [76305925, 49486920], [89476957, 88538858], [9497662, 44616339], [56495078, 51141215], [14765200, 58247442], [60352490, 16700917], [6616106, 48117575], [84677748, 78586108], [85352967, 93247755], [41460668, 27382765], [87934264, 4439229], [44799792, 23369731], [65272157, 72706477], [59079196, 1348167], [30468222, 51677063], [67255742, 85200914], [94162843, 60117519], [4308629, 31925969], [43383271, 61375555], [25340630, 57061356], [72980895, 4952148], [74659520, 57113527], [51466563, 44758769], [51507065, 90805411], [32991874, 10015831], [42668092, 8825888], [92478536, 46482132], [35059645, 14548925], [17862089, 30757944], [71769853, 36065308], [58807989, 70296615], [31520158, 15862583], [16224959, 32976686], [24194547, 91533120], [49875009, 84563829], [70326181, 8130148], [45032007, 70293808], [33915469, 55998426], [94132696, 30682006], [23033181, 2458517], [44147101, 18400332], [8997382, 39901039], [67732033, 22195854], [70133630, 28788864], [7461931, 913385], [61663608, 2975873], [44097782, 55694987], [8763664, 80021625], [70930432, 20513126], [38072109, 70037748], [32514847, 37248859], [85638986, 42300018], [41775942, 65347468], [39360411, 69523075], [53723874, 55693236], [92012637, 40583447], [18701573, 83996351], [55537689, 98413387], [75060090, 91632181], [85405275, 45777415], [36922343, 71223028], [88503967, 18537314], [25231646, 28356387], [20577679, 3745839], [25260343, 37796592], [45594967, 88537425], [70402849, 42739182], [39864974, 56297617], [51809949, 67414622], [18943071, 65080127], [79195943, 90025235], [43023045, 90055035], [10729804, 61460322], [11256779, 83402703], [76241784, 80650734], [11463849, 20552116], [4149977, 5743480], [1520025, 54540479], [9218484, 38311779], [73111600, 5158273], [99334251, 66841141], [59733412, 58362436], [15734497, 88291013], [47214793, 8005570], [84358540, 5908281], [49912755, 7985928], [35532469, 12458844], [29569465, 31051105], [24574107, 80129654], [52621527, 35344476], [46186477, 69672552], [28995976, 16009697], [75970639, 64779989], [59422577, 33175279], [55626441, 52601981], [76000437, 38812786], [44349127, 53632366], [42707619, 27364181], [88732751, 71580672], [13596751, 20317977], [61786347, 70108273], [12138647, 30665407], [47762584, 80219357], [6387135, 75402410], [74948549, 46183669], [72388742, 57066067], [33167934, 37167037], [65809907, 85366906], [6146213, 65284833], [42599110, 4904047], [52707183, 53289052], [64026106, 98264148], [5262628, 17229704], [70031243, 48164505], [44727533, 94903545], [46353096, 57401361], [72886222, 62463204], [11989820, 89474960], [79612725, 54574002], [75654381, 22206735], [86411029, 94121468], [92808618, 98731568], [73450779, 13637263], [51385456, 95605662], [34015179, 50929958], [13035485, 83633996], [2278209, 75752306], [20164006, 33511000], [92872757, 81840332], [89672506, 3811200], [81297891, 71981857], [45673517, 13160610], [36750534, 70018635], [71356303, 11740720], [27193333, 39002823], [87490604, 67059974], [54877666, 36199038], [80704892, 67676905], [68408779, 55385064], [78412326, 32641946], [70260491, 33489712], [44483872, 71777080], [50511868, 43401592], [2788156, 434263], [31530843, 39086819], [86833509, 81464958], [64819793, 36634234], [49003115, 77338898], [82399216, 9314122], [39298939, 28020752], [1069339, 2413131], [44530507, 72848562], [17125128, 60369004], [80218044, 26305957], [73398479, 19881397], [53678154, 96418306], [18877798, 68415447], [54373794, 26490832], [7225808, 21563662], [16948247, 69477124], [16814436, 9984416], [61173360, 66734609], [97785493, 66599619], [29800469, 12275354], [14621189, 92213673], [89246335, 95407660], [53393020, 66475052], [95339410, 29950443], [54578612, 66665157], [24052789, 92581234], [88374931, 57330817], [31510357, 45636046], [97247008, 85452127], [46291418, 90201539], [20403247, 68855649], [63259439, 28962891], [15061501, 98596911], [36971171, 63512569], [97088668, 18379753], [44016392, 76049903], [45417749, 15720782], [344550, 57282073], [91788195, 8779950], [35622917, 30712787], [4764000, 44041244], [53872422, 22526089], [19837350, 73769094], [36036461, 34860175], [7366809, 70949223], [41462463, 35971437], [86683124, 19676093], [15803734, 46934991], [1385100, 92810178], [34463023, 53305284], [68513081, 14374672], [60640960, 35589463], [17488707, 27700255], [78544280, 13509674], [29068283, 64186411], [37494538, 66478590], [16634915, 74024045], [98194799, 51746913], [62467100, 31698989], [7715057, 27683331], [18132571, 20549318], [65734705, 76236911], [21123710, 15367337], [93680574, 72827347], [7951959, 73287371], [81499950, 10510747], [63935345, 23326150], [95899509, 13076782], [41748857, 49082593], [21944787, 64439838], [86931833, 24940392], [37830254, 14486076], [53792601, 57602742], [64074683, 51539145], [55019678, 73387066], [14040246, 20018694], [53200145, 48028637], [6243798, 77325536], [60425974, 62087099], [6745887, 26410623], [87796737, 33683881], [16451996, 440496], [33527303, 52348], [96666893, 80478558], [74549797, 63699769], [15123852, 59902071], [95564405, 62094509], [59535169, 40883882], [86687105, 75882430], [95373706, 5821170], [77860056, 63902623], [62348725, 70764364], [16506157, 22798451], [66825817, 52091730], [15534104, 78128736], [78602704, 61262979], [69356326, 58555346], [18739734, 50664180], [22173972, 76230766], [36959343, 4313707], [21396743, 15008179], [15283034, 83237223], [94142647, 19634256], [99145080, 17784733], [73567351, 88710216], [94109105, 8695056], [44996112, 32558428], [78879846, 41170125], [4206547, 9218435], [13691845, 41627014], [71342129, 41180699], [8300796, 13605281], [38263223, 44160795], [9331685, 44796367], [75784314, 47415119], [95069275, 87308434], [74960499, 97060005], [61636431, 44178544], [95262517, 8254181], [51229386, 98512107], [24794962, 81023464], [21153924, 11837036], [87230776, 66118458], [39002217, 38058941], [82755529, 58582158], [40962805, 11047488], [49252530, 14010928], [29809997, 90128069], [81766820, 88456688], [51672349, 84242879], [6160735, 73386524], [67030690, 40730042], [1905333, 96582873], [19202036, 90350557], [49152865, 90873285], [61124160, 49517246], [16754194, 22785628], [49466232, 54001236], [78546593, 6694160], [58478837, 25229343], [26131539, 97978348], [8493460, 58782304], [87358812, 1591375], [30777210, 14004814], [80420601, 53219272], [75958808, 23406000], [28413628, 42793456], [98518600, 92317428], [81425638, 28981468], [97338840, 3920366], [85228336, 17468930], [8693502, 5309560], [91706065, 34126684], [74957491, 22277200], [42426334, 66039045], [31859196, 69471756], [42922934, 47087469], [83973248, 13180437], [45736130, 78331614], [70706004, 52697598], [39247510, 96439045], [42559746, 2018025], [56335677, 59485459], [84568070, 22862241], [41075529, 67595758], [94259609, 23241762], [23208693, 39071457], [85240800, 18586632], [42200623, 60108231], [59313379, 6639596], [59892073, 81641156], [46378318, 83873987], [46218941, 8201032], [50409924, 15212559], [2760953, 17589359], [61036555, 70503640], [15687947, 25771378], [39826863, 58586501], [28488221, 63875727], [7034752, 15346235], [18582351, 96763668], [78635946, 69580804], [39659931, 35752486], [64350765, 45487826], [96116206, 2011734], [62811021, 5445741], [68659486, 95634720], [70584221, 58596909], [15340395, 84951043], [7462034, 57675796], [9854758, 80931577], [5324453, 63829482], [23774016, 49726164], [60689197, 3892524], [48391629, 91825614], [28209394, 79475484], [43822869, 38228113], [13588870, 82379066], [79493152, 45249960], [61040098, 31155427], [64592311, 80764245], [4179290, 7653113], [44672818, 21198203], [27467396, 53889936], [91970112, 55511482], [39244854, 36841774], [81227819, 76701661], [79635211, 34049055], [76106751, 85931296], [45808399, 45245640], [25737562, 49845525], [53585887, 78770215], [95947019, 15687122], [3145505, 22684317], [19606485, 12587842], [96076310, 42923642], [15097879, 17796651], [21879456, 5593631], [362748, 41056363], [27169170, 28933891], [40245380, 33277203], [51096056, 31865828], [60900678, 59018065], [48070643, 50382590], [97560568, 80496935], [9577582, 55635611], [96146651, 25531397], [8206642, 8001864], [21265062, 81507618], [47470695, 27937846], [81720421, 57283592], [78818699, 41493714], [49463971, 97638997], [93718947, 67108938], [1672502, 60411136], [1526010, 38968408], [82609792, 53492963], [12464146, 37708233], [15621255, 84155560], [48569637, 81482095], [94482037, 89336522], [32467928, 45316302], [28182723, 73445154], [44013364, 71498184], [77871861, 43516684], [35446933, 69784412], [24941865, 88234462], [95451002, 25302223], [15768393, 29253572], [76785003, 36622105], [37888518, 80106094], [90823478, 66544040], [77103603, 46892462], [64680439, 19348857], [49832316, 1392856], [59982005, 5015673], [95117556, 98582357], [13064974, 30359753], [62206335, 30859070], [22425412, 25619809], [54474833, 96529384], [89831933, 45874469], [13690641, 79344441], [39769018, 81562121], [74046029, 47788283], [39362404, 93061785], [13166039, 21591385], [44375449, 67128160], [50664881, 24034008], [36343939, 8561434], [14407650, 52666954], [59908964, 75769816], [27781285, 22570882], [85192113, 96345275], [5590236, 16574716], [19598207, 56453410], [47315915, 61071044], [54616736, 51140309], [27145470, 15556367], [31620035, 67516924], [64830966, 67890467], [31081453, 92476230], [58066886, 47473103], [2903867, 22361786], [83176276, 43864144], [74317359, 14573822], [65364094, 49687564], [37067207, 63376036], [85038819, 72567481], [93727365, 66642268], [30481537, 5887262], [43564917, 91660126], [7568765, 23327737], [67766393, 73158366], [46199344, 95855495], [6559311, 29219120], [75687520, 30480840], [16927851, 14775606], [60663003, 12508794], [642614, 31620774], [61183210, 4387523], [78898295, 43415150], [23230085, 56243157], [41167814, 71484001], [21477530, 62915362], [33005765, 59509865], [6679139, 76208573], [50108098, 72325075], [3418369, 55047442], [66831589, 87180156], [52953153, 20466562], [15914820, 15070367], [15063608, 25106608], [16577471, 21819529], [41979450, 99250765], [51575639, 44940852], [1856676, 92608483], [33462496, 35268342], [90822481, 7700637], [37180125, 66786937], [13582702, 88488338], [73757033, 6675862], [38051208, 44374534], [20070352, 12159827], [79253639, 13818298], [97529640, 95732516], [66094932, 95750162], [95759612, 61261992], [11933801, 34622692], [9308341, 85457049], [51413940, 16286795], [97436059, 53952563], [55606644, 67555788], [23231465, 46604628], [63928883, 37703589], [3867289, 63590179], [74457026, 89899224], [44811363, 97303793], [50633841, 24118912], [19150130, 52129671], [69174470, 31017541], [80281480, 1605057], [2404871, 62602575], [921842, 79959676], [63954057, 69016254], [68467100, 43586359], [21143447, 39439829], [74680763, 64404252], [98942610, 80530823], [28693590, 85621923], [51605054, 28596464], [92733875, 50293963], [70302543, 63346097], [68267149, 96418523], [63365117, 7562630], [48403573, 59888740], [807238, 26317050], [37884397, 7847670], [6964444, 70112080], [70079200, 39368619], [99217514, 17934235], [82395013, 13907575], [41345207, 753018], [93615798, 13227075], [47818856, 66622402], [68818916, 43155626], [13345669, 25076733], [57584482, 42497745], [76982139, 94363007], [50638986, 74719613], [53897985, 56631731], [29352424, 88827996], [72140801, 64065130], [27407746, 93110619], [727958, 51900490], [22188382, 44480325], [80491253, 59670124], [88346988, 56037301], [12063322, 65972735], [6967834, 15020675], [65682333, 15370972], [95966070, 30478508], [96900737, 748725], [97691252, 6701890], [17933265, 49223722], [98665460, 99550805], [75313974, 14710143], [33452623, 31405055], [47331213, 72475541], [72847218, 78889260], [14181764, 82367989], [78101452, 74542118], [23133052, 43536134], [56312112, 29240545], [96412400, 13952841], [3803323, 40869487], [67222948, 43979472], [8626819, 17429100], [1333726, 63999424], [73880211, 98100987], [71408568, 45391419], [33742942, 15354715], [19785124, 63298402], [26886303, 58548098], [28308611, 118912], [53978953, 4462776], [53471532, 66413454], [53978818, 52887239], [42070377, 64590502], [85943016, 58548608], [49189419, 95637360], [89568610, 46439241], [68501369, 30953373], [68489282, 24275043], [30751110, 54483707], [34778500, 84306219], [8730334, 1133820], [35792163, 94065553], [57495160, 73510381], [788168, 13829711], [69281683, 36126482], [87515476, 76678420], [77790149, 97703706], [41430981, 17540671], [33524828, 63822234], [63279617, 67399478], [87989249, 99420769], [28557344, 6404914], [88022897, 86211068], [33795853, 86007633], [11418553, 76370954], [10539873, 36762984], [6887853, 24343749], [52178997, 18267108], [53535609, 36939557], [49276100, 38029496], [2139158, 52956664], [99823746, 93023880], [51443125, 4378597], [19128133, 4210642], [91295527, 8742813], [65367868, 95342449], [76874893, 98729032], [15194172, 97456709], [79487739, 25756010], [3588646, 98784927], [7830073, 4763840], [56430166, 84991082], [51054780, 7584162], [78646700, 3231537], [80996404, 13176692], [83374193, 50425753], [95495943, 11819144], [85143647, 11581748], [22934036, 79551504], [32269434, 33699040], [15427679, 83193310], [96592946, 71748454], [20298029, 2416613], [12983580, 74319136], [9306495, 52993247], [59039584, 95373977], [1271017, 89542512], [8562807, 7664681], [38574326, 17175120], [51861498, 74445856], [71153841, 12770033], [51507300, 72385073], [24302868, 7848815], [22266351, 84492291], [8759492, 34705210], [3628858, 63561590], [30825314, 19684263], [33252723, 62049054], [12022451, 4541452], [93718320, 6609453], [52122503, 75373374], [70486862, 56352277], [942558, 96513382], [58336967, 8669709], [46359861, 97047092], [15567465, 19696554], [46960908, 68148218], [73839365, 30305150], [31204864, 40166775], [27177556, 19530355], [95555007, 2259752], [34089336, 63143994], [71829059, 48808870], [95336996, 70573194], [76064470, 82765018], [87930967, 71363381], [60019873, 69528400], [34648171, 60014992], [17180362, 10161047], [1963808, 6547484], [65132852, 78708503], [71132115, 39073785], [90084542, 29163572], [82785723, 98268098], [26837700, 86379196], [36933392, 94009623], [38192392, 73651109], [6405347, 36813801], [24416544, 44414375], [6880987, 29905526], [57401645, 39370273], [17513419, 11443718], [5284470, 11942449], [84587324, 87563151], [28141315, 27804103], [80828257, 58465481], [3047633, 35007514], [82197611, 27321011], [68145507, 30290578], [25214261, 16462860], [63744260, 21751552], [61477788, 45832801], [22684864, 72877277], [77252726, 82499772], [38880854, 21965009], [24513139, 77693820], [96065497, 81489659], [47527686, 62969862], [16029579, 77397148], [61528869, 35146065], [62953550, 67718784], [15872755, 70007748], [4786784, 85243580], [30387802, 66700728], [68628755, 17938983], [55096913, 57088694], [17917833, 76272389], [94227732, 65010096], [25180659, 39245645], [88496523, 43280491], [57303707, 57024712], [9649628, 72754397], [3658521, 774252], [56059500, 6375479], [69922559, 89131474], [73964028, 71202882], [80843619, 46211237], [98020816, 37496619], [93330784, 20534507], [11762985, 60768612], [11512377, 23726705], [97633493, 42376946], [76691243, 99089863], [74357141, 97282737], [44790295, 55809695], [43679962, 82553883], [80806569, 52770968], [97039687, 14353381], [79656001, 20309043], [80197621, 71566457], [10356271, 95265212], [49146857, 97307626], [60489096, 55545551], [29349881, 3830624], [57490670, 96204228], [9010572, 40103124], [95229515, 91293452], [4169631, 29828925], [77696980, 56437288], [9728902, 18325937], [23338568, 21930775], [42295233, 14378788], [71672559, 32151232], [52263513, 76677620], [71521651, 39997758], [66949779, 97835233], [39367342, 38464823], [3773489, 15256876], [49006029, 602178], [97735416, 2706800], [19128291, 29126408], [39949139, 74299811], [70307824, 40278240], [48401899, 45894821], [84149274, 2943701], [28328911, 93012627], [94511931, 93183462], [2716641, 45987070], [74908514, 46796094], [15758044, 98322406], [11929017, 87034104], [21476453, 66814150], [9222412, 10139418], [8574740, 43944295], [30278020, 47822176], [77216017, 61812562], [39778831, 53082051], [26441324, 24621110], [31521364, 27271274], [51479971, 46959511], [6726517, 73293991], [21513205, 32271059], [69631192, 79933671], [45606210, 92215424], [33199470, 35099214], [60667914, 88327539], [77666972, 16770582], [8923774, 89903533], [60866608, 44191193], [87867558, 12453276], [89813613, 43309486], [79950152, 87531092], [50992108, 18286583], [67411886, 5933834], [17584134, 58607289], [19537073, 14418993], [34055652, 59027419], [6230113, 99382032], [44371984, 68906005], [43679749, 30195009], [6196425, 63633229], [25519203, 30474366], [8407837, 9709228], [44784652, 25574705], [40547152, 90576957], [6024290, 42034607], [87839588, 56214140], [45977809, 39900615], [14384648, 46685353], [54725566, 54928631], [60396828, 65913241], [54095381, 58928398], [19366349, 52649669], [77509021, 47784205], [77802632, 42777277], [96248490, 21842249], [38629202, 25267659], [9303371, 42076030], [79142411, 62012432], [14720876, 24678650], [5444549, 44152899], [62033037, 83285931], [11735172, 8336714], [64398308, 57406720], [685921, 1370867], [88115360, 14481821], [5052459, 47807815], [64426859, 11938312], [83055715, 52680341], [1162279, 98981335], [63053142, 95651941], [20512848, 77423180], [47998335, 91184755], [259487, 45902437], [96697486, 53870847], [97236639, 64807277], [65856941, 63750189], [18328019, 32103928], [24735237, 69188617], [83056626, 45596762], [62035317, 70081669], [14209621, 83238285], [34030553, 76273073], [31000283, 80378664], [39308893, 53516116], [60763200, 31819606], [35600072, 19112383], [4189108, 87922161], [51684592, 58868229], [86084590, 10203920], [60825931, 10623942], [52223455, 12666007], [91701442, 96799959], [6086005, 62824938], [73062134, 12203453], [3021689, 67688584], [23564179, 307681], [27275253, 28166608], [99965416, 23383053], [71698172, 42929835], [17638603, 96603975], [50472867, 54780206], [86925440, 3339710], [83733146, 17289048], [15081240, 69904988], [81977073, 8819500], [47112858, 56203723], [42303101, 4660709], [57293068, 87491000], [81288918, 69339491], [4429463, 38008026], [72513919, 39568446], [8588391, 42855607], [71175038, 80812352], [41860556, 60927322], [46189682, 50536323], [82156586, 89105886], [53720381, 46424048], [53472872, 75065542], [35739341, 74924106], [17879677, 92852700], [83279493, 82982479], [20157294, 25044881], [15267429, 37667039], [1877916, 12691119], [26736375, 60220998], [65142648, 99372341], [12255066, 95387119], [83179450, 83614951], [68038108, 40801337], [65538318, 21506459], [5862508, 9204607], [18403509, 15655992], [22156536, 17788743], [71550946, 27470291], [32121805, 78898343], [70583246, 72142698], [54804567, 37796607], [22238984, 67907995], [85017580, 22994323], [46275736, 49074662], [50748223, 54970656], [41247924, 20900090], [60942996, 82820377], [39517994, 4290407], [64614163, 74369335], [20962668, 99339871], [7697392, 22458102], [42263193, 38268601], [81936678, 56527067], [51754553, 26197312], [37907205, 62844431], [48488133, 27725927], [14205511, 9064914], [98722084, 28645054], [82632947, 46607462], [20234648, 40441537], [23985416, 77837169], [58197315, 29284079], [34961524, 98733188], [19261543, 13982417], [60703232, 5928426], [72717975, 1257146], [91312747, 49993604], [50492192, 85155805], [84197967, 10451910], [55920015, 53335746], [57030768, 19791802], [95561760, 11846448], [53156445, 4911704], [16173765, 77865623], [43896160, 67914241], [72575234, 37237703], [32409258, 41457369], [77538662, 43813819], [3198057, 62422011], [21302077, 43754455], [55310578, 3074809], [71843635, 62760460], [8018175, 4543162], [68751727, 24060151], [80261366, 32134648], [13738706, 32236422], [69026637, 27667764], [7688545, 4773412], [57902929, 12953391], [56320604, 20917777], [26355675, 93804669], [7280302, 1404691], [57569094, 59228880], [71370559, 61845052], [11640057, 20942369], [81579847, 66157121], [64948619, 854090], [71279879, 89463688], [73360820, 15485350], [37097421, 62382278], [49827826, 27230644], [49203231, 97112514], [2271932, 33458831], [5801531, 98714820], [11922657, 60083220], [50019187, 74617007], [50701943, 95949898], [15304445, 38893501], [49533563, 72579640], [86703815, 26179721], [37626746, 32231264], [42956657, 51478582], [85075851, 32033378], [74203878, 44184451], [6164904, 11311388], [65347227, 13466262], [33881887, 57631658], [49997913, 6700152], [18584975, 71795804], [50823290, 78984381], [84564186, 9043935], [14461061, 61182707], [1811756, 63052163], [53986536, 48555165], [94490885, 97725587], [19503616, 7149820], [47227543, 88051186], [84099600, 41396785], [83580751, 31713400], [13281601, 56323297], [19702999, 39241399], [36198518, 50952807], [70062117, 57112035], [33369361, 532975], [76578699, 59522412], [98467572, 30613269], [94755185, 86218700], [64632039, 41077712], [55894785, 78549535], [53635812, 81827061], [96665116, 31578819], [41797706, 24315874], [43600984, 13418386], [12031236, 12642198], [13869714, 52501809], [76063585, 21329517], [97097318, 7667765], [16486834, 54764023], [27796927, 57884003], [74242673, 34510282], [40346178, 32133437], [40110096, 11363163], [11544949, 56862451], [5427837, 22120157], [49047465, 11151531], [53383851, 24299928], [36391402, 2520494], [27556276, 96965477], [35759731, 90624467], [42935358, 75995348], [89202382, 64311169], [32044960, 49196984], [28146397, 81849430], [38983174, 98035601], [6582244, 90133668], [11329800, 44889370], [79059050, 97793282], [6022293, 85006619], [44270739, 70390745], [54975701, 25999919], [16544847, 6414655], [51223381, 53569522], [14137558, 43351048], [55960244, 9484102], [86965025, 42655724], [85627706, 6815045], [54157543, 84070889], [99679100, 53685691], [84003678, 10497510], [29256224, 67190928], [54365014, 70075196], [50252178, 72172826], [84788825, 58243818], [20914825, 1013245], [86975563, 10420030], [65470816, 29666526], [6258478, 16311672], [52228495, 96589725], [16133574, 87858818], [73108840, 54203147], [32801101, 29846677], [27182996, 986532], [50692728, 55270661], [48879356, 20882877], [10966193, 16229351], [72414716, 98943561], [38095435, 33433981], [14333626, 87350371], [99272096, 82633516], [33655, 1535206], [19191248, 50424268], [91826939, 5211397], [54841327, 27217362], [22402172, 62526705], [9011939, 18830209], [21586629, 13577168], [57448983, 48102648], [87721967, 92944190], [966978, 76238120], [66707010, 2378481], [76637265, 3412130], [90249421, 3932347], [6382606, 9187340], [88613856, 19642274], [81927341, 6738571], [70390404, 67870694], [90844956, 36754388], [77707158, 35308936], [10799339, 52883840], [64281399, 18543981], [71079224, 59816066], [34097201, 73939963], [55703686, 36000065], [15741469, 2392378], [98834807, 37774525], [1094462, 31387555], [73193445, 2826854], [3753980, 26035376], [29795822, 68670296], [55058427, 34395368], [2596612, 8725779], [16195796, 67029679], [8133955, 16845987], [74327570, 88079324], [82127773, 68949036], [71428140, 55599212], [86360115, 71758842], [38602566, 38378501], [92833634, 32560079], [83035140, 44175076], [79871395, 21145031], [40153274, 39658756], [98339432, 12750275], [60476159, 1270080], [54679581, 16243765], [85295979, 81204531], [22142687, 97833673], [3040205, 83174005], [61519450, 93713500], [82649978, 34544851], [94699764, 47544849], [71126291, 35395236], [95923232, 10367972], [28119633, 12344662], [87995347, 42670538], [21680665, 50164013], [68753578, 87575004], [37740767, 41532795], [5561925, 29680317], [82870840, 8789286], [96536054, 13466857], [70298081, 33858161], [17164780, 9189051], [24304796, 66039189], [78277425, 2038062], [9492565, 121130], [31714282, 49384800], [35719976, 86575989], [17834668, 67916654], [28598818, 94050430], [954749, 38430512], [97393484, 98983747], [20373878, 7592933], [23302835, 29097152], [23476592, 3498950], [30680869, 9901950], [33501440, 40284212], [23141565, 18566448], [25695718, 44635409], [30489811, 96003481], [85413868, 74370452], [63609081, 26332978], [83412157, 44851677], [3996838, 11651542], [13980839, 50155003], [96490586, 19824603], [24506117, 8864631], [65608852, 69005642], [65285419, 67148942], [60425546, 39435447], [86728005, 63660224], [89961827, 68068352], [91511475, 84602090], [24457863, 64587556], [66570793, 55673243], [72774974, 85042172], [79925671, 33148331], [85415066, 72845010], [81938492, 25503077], [4503138, 18605567], [66310355, 88991448], [69133706, 15997843], [87686565, 4420072], [70166773, 43180583], [12241467, 60100679], [10130856, 23471786], [81901038, 44628729], [607282, 31652867], [89317678, 97059140], [15173616, 32187635], [37712709, 46122627], [26528538, 26344284], [21167052, 56211005], [83123061, 79576054], [18039816, 63279136], [24503815, 95108839], [42167744, 22592038], [11734701, 14444173], [35830822, 62580054], [21408439, 61594259], [78219312, 24274661], [18392671, 12622421], [75456900, 83250570], [7015604, 62513328], [26976840, 47423310], [79498995, 55102535], [41994251, 60817368], [96942920, 17875229], [50855074, 17991861], [22892106, 4231150], [86617831, 18990868], [5530963, 76797973], [93220057, 6347888], [10884459, 42899538], [4060872, 35903020], [22073946, 27440277], [69995243, 1262397], [82945240, 13041600], [94827404, 8443371], [90533620, 4521304], [94824149, 16189856], [97269428, 51164249], [90858320, 36076694], [38792735, 27787131], [91600000, 1708213], [21193761, 91873401], [15702069, 77226607], [18717200, 48670581], [7057454, 86847212], [91839404, 5781302], [83951074, 70349464], [2548076, 12366073], [2692180, 41359421], [78334963, 15493242], [1214266, 93870781], [67156502, 55366164], [84387659, 64155538], [92725287, 31510149], [11095383, 80337962], [38104603, 56197643], [18688353, 18262501], [21155629, 97845578], [7424751, 12805157], [93285473, 98322520], [61736875, 83768259], [83576430, 23074691], [17265185, 31415601], [16169730, 5473187], [97187987, 35244331], [94859455, 52533678], [70381142, 28778411], [76044109, 17399965], [68441879, 17473050], [33020873, 22103439], [59202977, 91220045], [59660531, 96868054], [28712522, 29750317], [76333969, 50681992], [18300374, 50492754], [92617656, 74163616], [36883812, 77489796], [21804009, 17609361], [71145437, 76699621], [56452781, 82104625], [87877356, 79417229], [21328532, 59835169], [50518885, 58337697], [46375284, 68370395], [41749264, 5561106], [36899883, 72436066], [1747460, 23149965], [73139798, 44396110], [74781817, 66617330], [42301067, 88683211], [60709469, 76060032], [65530452, 14046586], [37966865, 51864701], [98755091, 2924694], [41369984, 62475891], [69285066, 85840184], [75287668, 37284569], [32814277, 2268757], [36976154, 71794866], [65543762, 8190416], [86373442, 86916132], [2038334, 76559224], [13278772, 45260051], [9122707, 82610280], [240007, 49435375], [22033535, 94280629], [74379643, 90490424], [36890601, 6312719], [99427559, 2659723], [39326985, 35003648], [67746856, 24814501], [5817373, 33493078], [22736106, 56117239], [60375759, 88509792], [81397079, 34204101], [46697212, 70771831], [3323002, 10424268], [1679982, 60752148], [9382614, 90644503], [69521960, 18769589], [74171841, 40817730], [46315252, 66775531], [12029836, 39288624], [84825287, 30700368], [15184916, 22495873], [2537235, 759650], [54093273, 9478550], [15927179, 9556471], [23543345, 88398632], [68341742, 20316878], [3338533, 73831540], [1713206, 92329871], [83362853, 11033285], [30631307, 81363862], [28160386, 91341177], [94867015, 92634803], [92798345, 17059522], [16781276, 39946334], [90018446, 38505921], [22995361, 63617760], [20115865, 24633107], [14756316, 40825043], [97083937, 99208209], [99096112, 75051238], [61586385, 61366349], [96674524, 43202519], [51030671, 32504316], [80476160, 16989073], [71414637, 19679486], [83140723, 53732228], [19982860, 17600133], [2925687, 18085276], [74933104, 95521073], [90801939, 13850455], [51769905, 19509036], [85555198, 50216152], [48930061, 44585276], [54451174, 15713997], [7274315, 3665869], [28164775, 65634295], [21662849, 87564159], [15605244, 74121094], [36258561, 68210484], [27872358, 79147853], [63775478, 18845966], [81047088, 61108569], [40656475, 60069227], [53844030, 22770913], [11544314, 27480067], [8021237, 21734656], [34023407, 47656338], [36485876, 46842228], [3747972, 37033720], [48238244, 78189397], [19823179, 23312031], [82323750, 84628459], [56489811, 22967653], [33233942, 90970180], [17724588, 92556346], [29669517, 26141080], [93723705, 34231277], [95946800, 97619264], [20841565, 57703916], [44671071, 64746376], [67937259, 77336103], [71859168, 40732555], [11814551, 39354587], [57513822, 42267314], [88754058, 90768616], [5303424, 86489213], [53732532, 80650139], [98416802, 50679879], [93790250, 57923650], [8369405, 76556420], [42512132, 83401016], [99842815, 3717925], [75253981, 27546931], [40245688, 69579714], [64439601, 93378186], [91505797, 9630784], [49526732, 43461307], [30031025, 8759749], [27930764, 87097298], [54204442, 67342192], [95550484, 72839255], [10003742, 70853288], [90950908, 53334442], [92214934, 60168991], [19998573, 96466645], [11085257, 532979], [67225882, 71953880], [61012815, 33345412], [2862591, 69822182], [76353486, 43659287], [62343552, 66145530], [30952796, 11225015], [47243206, 36622884], [59504662, 97301440], [97752560, 11483870], [10262584, 22133840], [48536875, 31330076], [24318244, 31113521], [88890613, 80560150], [40716445, 74511701], [30457921, 72220354], [22758301, 17765783], [45066356, 97268558], [10664579, 11961942], [10517808, 85497837], [37001220, 92797529], [14823504, 63248071], [84265132, 69808680], [9088155, 80483639], [91365201, 18179617], [20786074, 38689622], [92796712, 41409595], [645190, 76483791], [59634521, 19303501], [40908430, 41669990], [89104103, 25975341], [71481829, 67980629], [17497460, 38373245], [82405040, 74360876], [70336526, 40580131], [15929325, 92926957], [37906088, 14416050], [2520429, 39099987], [55283292, 68206926], [55875731, 31273459], [15442182, 8100560], [97679986, 34330804], [24189355, 21029507], [59765696, 13998899], [93340625, 23515486], [38161788, 93202802], [95185884, 30820505], [42406850, 64838287], [90551256, 21949071], [89743258, 88360896], [13857216, 16568721], [39963532, 22112154], [46090412, 15982273], [26448435, 49041833], [10336433, 86066207], [76948963, 60439059], [49134125, 31784348], [24702935, 65366340], [46998993, 19166631], [78588732, 77334004], [65995339, 20504398], [96958482, 69377683], [81130503, 34514864], [55855895, 86678623], [94016641, 51937341], [42100119, 48917724], [88113656, 4782023], [74826956, 79774731], [51910035, 24427918], [8408977, 10522205], [45906722, 69290856], [10490082, 30920678], [2439649, 23954148], [13671208, 36692715], [35276794, 1739088], [21967751, 79227663], [84779134, 81390819], [20129451, 42062877], [93050214, 49275989], [30360598, 70351870], [30964451, 14045666], [59888633, 94506582], [64574068, 16806387], [52387068, 26490730], [50914273, 19867606], [93470589, 31182344], [52731142, 63535835], [13668462, 38544638], [23985087, 99965938], [67299898, 81125506], [33298321, 25860699], [95745527, 63487513], [44172459, 13640304], [20428066, 79656845], [14159432, 45367367], [41410578, 90161674], [89045855, 85255645], [87679594, 98411568], [28740589, 30159437], [76496579, 35726801], [56604273, 43294986], [95643620, 27825153], [705583, 55582556], [55616063, 70708238], [35788255, 26961564], [31459972, 83372295], [88191643, 55842897], [72003050, 28619785], [35155128, 89240104], [66983313, 82431657], [76153530, 76681046], [5792447, 66112124], [99776274, 1665453], [52411499, 40092197], [58777411, 16748213], [6657408, 56735065], [26773977, 90313368], [56313892, 47899296], [58816299, 57781174], [52252981, 91324676], [82810442, 85014392], [51305695, 37130213], [86139968, 460333], [46657032, 40346113], [11899054, 51009125], [8169045, 59156854], [97120182, 92468469], [1717891, 14783778], [59847133, 69579170], [24826997, 24643900], [35565650, 79021466], [98759859, 8546239], [35313104, 49132083], [56119766, 14193476], [14823202, 89866501], [38528022, 59906200], [9644589, 95211300], [14506567, 31121785], [21246635, 16862866], [89965899, 50793126], [63084725, 97512758], [39787720, 86201319], [71290628, 38294202], [22391903, 25718909], [90976201, 80168715], [98689504, 62719834], [56051074, 81087483], [61751256, 17443649], [62158003, 22159665], [3255347, 94313464], [36909904, 20641834], [26620460, 60760012], [11565146, 65223573], [6906011, 18629650], [17605950, 17584536], [44526149, 88335024], [77950032, 59340496], [99660483, 14324289], [95327948, 47869175], [28749369, 95328542], [3043232, 60442925], [28781892, 82079677], [10625875, 82241819], [95030459, 46846618], [33934804, 40890346], [99372926, 73575902], [90463072, 24673931], [4181881, 12939561], [8857285, 97789538], [49129852, 54738107], [51895147, 74301357], [77296765, 34437120], [88117248, 88553788], [8500323, 55570383], [80317060, 14255919], [33471207, 32951749], [15840687, 85871906], [91510596, 34634920], [53440406, 54464964], [19940639, 176587], [39099587, 79607797], [56528166, 79373106], [73114103, 61552479], [29699515, 22665751], [55271855, 70108603], [40543830, 35182710], [72116640, 84760056], [21395435, 23757823], [94817115, 74255719], [79926067, 62739024], [81880263, 65157101], [91448644, 3107857], [59739422, 7727751], [3079707, 30120241], [87459216, 93124813], [73252202, 17853108], [74464488, 50934879], [13806751, 36519946], [35931240, 38903427], [24540883, 95066805], [92259166, 39844692], [70869944, 31218070], [58498592, 37048578], [35476878, 41569701], [94444138, 3723529], [96642679, 38965571], [29836439, 65237795], [65269033, 1282438], [3828149, 88293440], [34879197, 74071721], [15205746, 92132118], [64418837, 48633645], [23585070, 27386425], [99008583, 14899467], [28194817, 46926988], [12324834, 81203855], [97406308, 66358685], [17708862, 22426040], [31728600, 69937917], [49497172, 79574810], [23046276, 30883898], [61121788, 45148999], [5691668, 33478257], [26357550, 17280495], [47436245, 38616769], [68407212, 10947116], [63240354, 39114521], [93679259, 2604073], [92997628, 47316702], [82257088, 5525249], [52159752, 12954413], [30946915, 83101136], [31329219, 69577116], [57148237, 76032619], [52359877, 74864021], [39911438, 86800869], [19742526, 59199073], [20493780, 21573974], [7506942, 47330530], [60885325, 66345816], [26927741, 220836], [75286434, 56315825], [63625818, 47707186], [60716384, 19136074], [53187151, 55372905], [93935887, 85965715], [26507230, 20492551], [29685351, 45897886], [47757048, 72279848], [15676491, 35465602], [49535960, 38847919], [92310557, 70257931], [4975506, 2908072], [81927886, 94144798], [76730544, 53383976], [55507252, 95597888], [68419425, 2799549], [36538163, 93125040], [1238250, 61258164], [48937529, 89422605], [71743661, 65006942], [16390712, 97633231], [44231400, 86412236], [9949780, 46720286], [47072041, 55467408], [34038757, 85840483], [2970879, 1188303], [38767935, 87501373], [66454925, 48443436], [81080879, 79994566], [42937911, 67890438], [51705532, 38758795], [59048778, 49117393], [87688592, 55924140], [9811657, 60403618], [34979037, 43755735], [99998275, 90741533], [14415171, 13202282], [710891, 63425166], [15221946, 93259518], [12234497, 73494422], [69760893, 71310259], [28985898, 77935712], [15885984, 15129384], [51857105, 88164916], [60110387, 42829682], [29591901, 72794767], [48337189, 5635435], [37624597, 51343087], [78706404, 51143124], [47360998, 50093336], [28676082, 18581075], [5621478, 23770750], [79455557, 8293685], [78535970, 43955726], [72863749, 94322153], [77629211, 50324825], [49384731, 97779206], [64293613, 84756742], [67219474, 45272178], [38743914, 95051319], [87439922, 47308817], [18938309, 74803208], [64976854, 99732360], [17238715, 12900546], [24463710, 27877204], [45677387, 43370102], [95057269, 41395747], [8065985, 87456564], [40789397, 16613642], [78510962, 49613335], [98625776, 53340925], [6346687, 34775697], [31023786, 17468470], [33791492, 69966587], [52477859, 15077194], [22345433, 6762583], [78030566, 34968632], [8848052, 70299661], [12247041, 75102348], [57035295, 40976737], [87357604, 63782602], [10212888, 77330519], [77101610, 4205265], [99651856, 1880484], [43582365, 20058362], [86095629, 50647248], [41103160, 73349287], [59716046, 31751658], [82317245, 63510192], [94726918, 20024071], [96388482, 3088315], [5063676, 7208085], [74411988, 50107870], [229535, 1656927], [41831998, 83943174], [39219750, 6559751], [18607824, 57032436], [20296287, 1190396], [1651964, 64086454], [29079194, 42005817], [52711407, 21713464], [3640719, 7451074], [23597907, 5166121], [30084414, 87445055], [9933284, 48313173], [30791636, 55541776], [48537217, 85072541], [92078117, 54144604], [18826361, 14176819], [97076825, 85559484], [79800083, 48316415], [63984224, 410780], [76451258, 3342940], [86227943, 76404290], [67077468, 45173093], [25076011, 72155004], [13150881, 5317977], [1582931, 81578707], [22580124, 12116356], [56136247, 41355974], [73862158, 70260042], [96145943, 16093092], [52729338, 6973769], [72675548, 98074567], [48055082, 81690819], [5712207, 32907005], [43292671, 75857152], [67556254, 91571125], [29460369, 87962297], [31257571, 33713531], [65404713, 23394824], [83265165, 45360549], [22560687, 67175015], [77311, 98180510], [83149615, 56389138], [70791052, 45170001], [21503468, 89652453], [93738346, 7843797], [82333649, 58657927], [39706785, 56185798], [2863749, 68298521], [2920004, 72010214], [82223012, 42547319], [90084925, 83609872], [87265689, 73875571], [83865185, 77661628], [33519675, 21018900], [4708816, 15690978], [87348345, 6484209], [43103299, 79750772], [96759655, 27669745], [51448751, 43199527], [33592239, 28692037], [73798061, 62435816], [11575244, 61072331], [13815408, 8623779], [20631629, 24216092], [55589049, 79036770], [41532965, 6637911], [73191069, 96846994], [3183471, 86837086], [57870052, 11866557], [36214706, 92859014], [46451022, 43658026], [48671148, 83246143], [45469947, 20828577], [86161209, 30307280], [42157409, 82405257], [33416967, 42053263], [52018023, 81031220], [22174941, 94464881], [40334165, 81934599], [16361563, 58669912], [48970582, 83092192], [73177173, 96335058], [58264614, 98858811], [44924785, 96767785], [5740794, 46267148], [6298159, 25185664], [16292385, 19459464], [42365290, 41699350], [43106079, 54574799], [1859504, 12916210], [22394671, 95556017], [64071808, 70731000], [57875724, 94315021], [6393609, 43058405], [69222024, 77686431], [42558672, 46446973], [39936273, 70385323], [80011155, 11026686], [42151940, 77910249], [11764125, 20642376], [18351167, 52596975], [77004364, 54719289], [56427679, 76528246], [24707592, 4901354], [18720258, 70448244], [80158451, 8562524], [91920669, 40462466], [62270347, 11922528], [15898879, 74451541], [99725823, 31905473], [81092297, 34482900], [43929193, 51914356], [58565024, 80625785], [22526350, 38516131], [70303549, 26387880], [80833812, 18254639], [46976345, 25283454], [77742631, 76971831], [97606246, 65156178], [63848666, 98395035], [34538447, 24948928], [14383425, 38763448], [38898888, 12531712], [85672049, 67884853], [92124567, 37334907], [75884157, 30674479], [8277393, 33867173], [53230388, 68728211], [47172877, 79724593], [15724517, 69933250], [36821900, 1784605], [27917992, 89547204], [17359762, 76406833], [98229357, 93578336], [25234993, 71933825], [2708769, 13595353], [80620540, 19229054], [77334051, 54665431], [22571106, 64056821], [42121025, 12278323], [96954677, 96405517], [99915050, 66583376], [91639101, 5210632], [13390959, 80792311], [52170537, 13298923], [6951929, 1413310], [37375856, 96890243], [45884861, 72741229], [495051, 72121751], [87034010, 10168777], [25208948, 92979225], [17579595, 43028107], [41567940, 18017673], [31449710, 63886869], [42522805, 56919476], [88653516, 20320836], [39591330, 18558736], [24681781, 17544709], [23839444, 15513061], [88914171, 88098679], [68704141, 5728097], [10643365, 94765212], [72369265, 47207855], [13162510, 88139997], [27471483, 19282459], [2396784, 39725349], [24165016, 63843865], [8389509, 23037616], [45069923, 51666490], [14314171, 82930577], [11926140, 23742166], [40410877, 25007316], [23002537, 85875415], [88517398, 90675913], [4659150, 8813989], [76711523, 74001711], [25238957, 95901241], [26642996, 55555216], [49436842, 69291274], [52190328, 17010181], [30696896, 58136790], [14926560, 56397458], [18087364, 90825693], [12697397, 15088935], [69706458, 40112595], [28724006, 59858764], [50988684, 75970589], [31052789, 18966167], [77938286, 20799748], [66480760, 45028835], [1954139, 38201583], [54063999, 19090683], [45078416, 92290237], [32094340, 16623447], [31231245, 88468682], [28007724, 9897011], [34489319, 57223711], [1826219, 71217665], [45661700, 34670001], [28345114, 1074401], [8744915, 48574890], [37400275, 94610539], [92256244, 68182874], [44566521, 15234847], [26526628, 26721404], [53378874, 45047674], [34378743, 56452703], [33397775, 90969994], [34820830, 10312432], [65456609, 4870428], [13279517, 86815318], [62131340, 54772144], [96443193, 83310108], [50734336, 48162055], [32535403, 97023820], [59732430, 83848118], [14681349, 49910852], [75873178, 24003150], [51315764, 25560997], [43338002, 870832], [42062360, 71388154], [33657468, 22927795], [5291232, 39464760], [2928496, 58112427], [55082886, 29642916], [51553164, 14908183], [81514411, 16415870], [12016078, 61175997], [92597295, 59675630], [42910184, 82460855], [88327728, 47022474], [78778954, 78177312], [23815648, 10592817], [86588207, 71249797], [64284712, 94802180], [33435292, 34236388], [71904738, 27829812], [30729322, 82482339], [54325932, 96144000], [21345286, 11475628], [89254853, 72114764], [93332571, 6049216], [29507365, 36292787], [20574814, 36928937], [3931851, 89310956], [54971298, 28084235], [34206984, 54922156], [78706444, 42973956], [9321825, 65719722], [54673989, 20187528], [51763638, 96384669], [54949714, 52683938], [92601950, 36390743], [19997799, 59483566], [89969276, 43918424], [30239323, 29530061], [75267813, 39093211], [80140461, 32240231], [57217490, 4480850], [18378489, 93408366], [8985261, 14891985], [65436589, 38452222], [19702677, 92399651], [28071934, 97939343], [38812177, 93227326], [29036123, 22587187], [854855, 19332657], [38051442, 32904178], [47247327, 17270718], [6781851, 903676], [7389672, 96031471], [88549543, 41154786], [97178742, 69059817], [21661597, 91841515], [85870792, 9713421], [17619010, 42506956], [76524503, 46258983], [60636035, 83047480], [3689941, 85806578], [38895493, 41396545], [13802950, 26400982], [73486518, 139655], [63832125, 22859596], [13356898, 56382644], [95715468, 7272669], [24616081, 29316090], [47652844, 2658332], [50480884, 27590537], [84646215, 20989288], [44207905, 45862652], [17482241, 91528236], [43275815, 84846155], [18238951, 83655535], [662450, 26342206], [4366548, 92133639], [94555869, 35308641], [20820335, 93568769], [1748027, 75132595], [93633733, 76024501], [44844827, 19878774], [70609436, 67545202], [36665403, 71099597], [51884799, 52866732], [71992683, 83232934], [13274524, 82228121], [42344290, 89873796], [57125356, 59520846], [14879135, 33661114], [51417381, 53064734], [34524904, 49004679], [55401206, 34019807], [82711970, 51164489], [25143429, 26800431], [41328837, 30507912], [17625651, 64402551], [36076783, 28979524], [24359274, 56319715], [49316628, 84914726], [66311175, 8752611], [98217335, 46485370], [9930412, 30322501], [20996174, 40903152], [29724186, 56879610], [36908293, 59045185], [74596598, 12174905], [20056673, 31027979], [97320671, 245334], [92004427, 91403509], [48675705, 8617226], [5475841, 57754595], [96186320, 52585097], [74267001, 13066340], [57363899, 60307101], [43913177, 43566668], [72874474, 40298489], [38982762, 30385107], [37636747, 68190], [55471368, 95205756], [91118727, 47040275], [66493430, 89802128], [18906284, 10496286], [79448100, 65795009], [98731406, 69503299], [24562738, 68035924], [33228878, 86249456], [33917153, 87379546], [71807033, 78442484], [51177289, 23871927], [16742334, 7774011], [17986045, 58767342], [14599174, 9576656], [10721976, 42308066], [37439279, 34327947], [84328535, 51122630], [44933416, 81058693], [84774233, 75148637], [90742894, 24277829], [46793365, 32894416], [27442540, 80862896], [82029470, 24792702], [90513793, 89186323], [95279434, 55501109], [48786100, 25008358], [98014498, 39324183], [1969631, 75491375], [57150711, 88685471], [67263867, 55496989], [2534673, 14072831], [5395135, 2663677], [50449615, 70339193], [31594154, 95796050], [3392755, 92463769], [52730169, 44166333], [83438115, 94558477], [83152016, 92861000], [25309225, 90864646], [79777647, 48692293], [78964509, 99784041], [90151765, 14700552], [98794920, 69937011], [50435682, 32821962], [82487644, 6363934], [50981948, 27555187], [6594191, 13010876], [51884820, 34680908], [45217574, 55678529], [86134687, 53442399], [48577590, 16745350], [60466643, 9927931], [37145001, 948150], [48958009, 73043277], [92754101, 5018175], [1123406, 65499171], [80909383, 59593988], [20934013, 53009155], [21960034, 12372013], [47871214, 94378999], [59527249, 90188552], [32458303, 44936423], [68204941, 54475719], [1566624, 22292700], [35876955, 79787728], [47551926, 9211956], [96492009, 51768773], [29618442, 88172077], [83526397, 60595041], [49771690, 83171795], [34354255, 59185776], [36728239, 66737776], [30272826, 80450515], [30391765, 31810768], [55542097, 65007183], [24041886, 37073913], [61600567, 95458068], [54199197, 48094380], [47678189, 47733166], [47962525, 10898175], [70443441, 85326252], [83162168, 15237554], [3206259, 39082718], [31533324, 99198264], [53784823, 74025099], [47780295, 57890512], [60564465, 95956905], [36664755, 66615712], [36037693, 93241421], [66582825, 2686414], [57164247, 80494162], [57971273, 33547126], [73863311, 32535495], [91836399, 77432726], [13781211, 19717870], [58278607, 54353478], [21135852, 57519487], [50006778, 58664887], [9048890, 63210400], [43796353, 46962276], [59848716, 31681515], [9417629, 2181116], [52039658, 89780081], [20705441, 52326885], [40795283, 97654051], [96366526, 62010652], [24591208, 38114813], [60921639, 53678707], [97453056, 69060398], [85091076, 96398943], [49356739, 79367948], [53639151, 92004190], [99095429, 45924063], [12052198, 49189117], [72637700, 85036016], [9999767, 93662187], [96585198, 3035062], [76019143, 79787387], [84268223, 75669315], [2509084, 64696903], [65152854, 19182656], [770306, 48432759], [59027638, 53205787], [68686447, 92184477], [76129773, 72447638], [73934996, 17453273], [79593574, 86860319], [77506656, 98117560], [11490607, 35362197], [53116976, 20597025], [75302111, 66919674], [17538869, 6730849], [78450223, 17906072], [22450951, 34990444], [3357954, 44914318], [79890251, 59485622], [27760419, 19275989], [85935706, 27677368], [76766437, 74343171], [92625994, 99068791], [8231428, 39730731], [31749258, 44340677], [77100927, 28784022], [13653641, 89916776], [16554662, 31119622], [11005158, 74197263], [61635299, 49330174], [32563858, 8717610], [20566526, 6184480], [32648400, 24873808], [50663253, 8889732], [16176067, 63119447], [33587687, 45220508], [69116037, 62211136], [63712384, 88722931], [60525233, 13731738], [91098195, 36934270], [36824767, 77305095], [26040613, 78738736], [35524811, 84969833], [91814318, 10338865], [63726580, 96526546], [336955, 99061851], [83495563, 57884837], [5617249, 56323046], [89823061, 62135288], [1972874, 50015993], [67581995, 61459301], [44491744, 54623342], [34982024, 79695165], [53982438, 43854472], [10516151, 41580327], [44582193, 56570507], [4893058, 27627495], [23263428, 95102711], [94096336, 89367190], [67804573, 20884835], [87260692, 5932221], [92916406, 70935170], [4137683, 69314791], [98919759, 25001801], [50638334, 63842878], [45497187, 92513601], [73721603, 50876431], [38072050, 41053698], [46706966, 97134164], [73235255, 55624288], [3587208, 91587527], [57962090, 65410836], [65063870, 81931926], [72255269, 31906989], [86792426, 56325148], [10572656, 80650901], [51748467, 2419785], [24934032, 87256303], [33094228, 16488521], [83779883, 23931265], [92495367, 57502836], [88541493, 1211946], [58262892, 15817719], [44394456, 75790742], [49108688, 37491080], [24056294, 2043759], [64367597, 22538506], [43900754, 98496529], [31615254, 15835627], [49647780, 98512170], [71696441, 82183548], [83076755, 83835017], [72307659, 26398241], [73201476, 36658094], [27405441, 71118684], [4455477, 85946986], [84342756, 36374674], [54142105, 50159898], [21830581, 64326895], [3966329, 93615224], [6832673, 68364327], [17279187, 48387090], [45771945, 31231917], [33440194, 62864050], [24010000, 34623500], [79865358, 56999116], [38226035, 9585982], [74051679, 90633542], [50788152, 97755401], [18642935, 91229541], [64060062, 38964239], [61749261, 27756122], [61086547, 88056813], [68934756, 73208072], [59902864, 23547268], [160361, 64357402], [38412366, 19680512], [66770154, 10870623], [22418887, 35533952], [59920875, 65379877], [47591956, 42425558], [90345101, 92423696], [6519889, 81139410], [84426690, 26102625], [73012625, 37569671], [31126796, 35747638], [9689949, 52406135], [37356369, 38358137], [95991736, 68700398], [99574978, 12424473], [20363717, 34030704], [1506997, 84848025], [69241496, 54778051], [64814857, 81241220], [94319325, 65574070], [40205808, 81085534], [8413855, 67132820], [62325513, 78547295], [97082249, 41455110], [17408989, 920035], [36853565, 78955962], [46579645, 10544069], [12700471, 53537806], [96584259, 51570848], [21603121, 8595627], [41158018, 73351307], [18863630, 3645886], [64826165, 16609904], [39710497, 90065893], [21973321, 45639642], [19652036, 88721249], [65006950, 62653544], [37241093, 33843915], [73601307, 18300592], [11683462, 12348774], [12390345, 41920953], [20309107, 64250015], [77632283, 34633494], [39034189, 59938484], [88992426, 34592533], [78327612, 31018253], [72733889, 33940987], [40071512, 33112348], [85576325, 62031678], [9397259, 78267724], [49938637, 9116605], [75448118, 95183763], [74914198, 78652746], [27762959, 34027488], [14397303, 7541102], [39174871, 71758137], [26552993, 92914072], [95921515, 82780994], [9863546, 4133280], [23444792, 91066386], [10417034, 42605628], [65460905, 39718472], [78133993, 57882969], [39827224, 74465904], [10007861, 14579017], [29086054, 7932245], [17636138, 6939269], [87995791, 41635714], [41216838, 94312034], [13581219, 17363089], [39344585, 22165506], [45614882, 36017390], [31110648, 61728884], [50724849, 46315886], [3021903, 96903360], [77058286, 53432594], [67343905, 52633996], [40087887, 21123915], [56011212, 40948746], [7873088, 18665373], [28508963, 2748700], [85441310, 25731334], [80648150, 65278268], [34395404, 13247540], [28359210, 34225043], [3417530, 72348105], [56431043, 37345450], [35862423, 20139797], [59652641, 21411155], [62921370, 72324742], [50914204, 23371407], [7824303, 82305023], [87618020, 41041706], [35562800, 88714567], [35949667, 6294929], [49652692, 12038769], [84918747, 37387763], [92245168, 2814261], [59129563, 43823188], [45309848, 1183409], [15132653, 35941347], [48731078, 48894226], [20490218, 45373717], [35842020, 62355003], [69599907, 90317181], [61241849, 46616587], [96569959, 68747171], [31980236, 8612156], [81664156, 22360064], [78525343, 3671058], [30224429, 69112365], [33640479, 35777755], [25162179, 13782513], [43601307, 28493977], [18901983, 2800851], [23141256, 82332961], [27532659, 30055710], [8105004, 43031779], [42832951, 53949941], [559138, 41821491], [72796281, 50784976], [6652229, 99201685], [9049227, 9989120], [95152638, 30998286], [81867083, 97537179], [13751657, 52944286], [71644052, 21509091], [67726278, 74473569], [55206328, 85715955], [14540485, 58386972], [48775187, 36778151], [81231538, 76506196], [14263261, 14497530], [56779930, 59762743], [15486782, 75166903], [10683118, 70457763], [44913990, 40005099], [29160637, 55304891], [695528, 32902847], [68282495, 68654007], [3626005, 88201320], [48148145, 13487694], [29855721, 4313803], [41188320, 1574757], [71221369, 69046578], [68192645, 32710572], [67937929, 57295162], [57092198, 97954772], [22242295, 30550164], [73255919, 62909480], [73340863, 48568149], [79644963, 24417176], [66680641, 38571206], [38848663, 50062934], [95863615, 34380548], [63857129, 16661048], [59994986, 61804212], [63930078, 99905821], [53686406, 37570203], [24923913, 55347077], [74068279, 89866423], [14346818, 73818773], [84263699, 83124580], [14034210, 42881638], [8158168, 38858576], [72833573, 33243416], [83802718, 60474212], [71844555, 69235600], [34066676, 91383431], [80520802, 1750672], [91303520, 55871917], [46516826, 61414128], [628772, 37934081], [34604855, 57822435], [77551986, 63602326], [62657731, 3873318], [49494902, 35418675], [31198373, 9154907], [21380603, 88621995], [86777230, 10655542], [59934889, 65691060], [82321802, 45384060], [71463091, 75660922], [5304889, 7473496], [17468561, 18183917], [15437154, 89657330], [51499813, 17465139], [27301106, 16624493], [54553393, 8167866], [81170104, 44505423], [47763913, 30608566], [41962897, 38567356], [34815676, 35411399], [25386203, 26091838], [73287369, 57289918], [75253565, 3974964], [1486845, 25206496], [50681226, 3988848], [44908583, 82189041], [28307314, 14306179], [55068543, 31623702], [6798524, 68814390], [78316716, 51722178], [62834084, 28628038], [63569793, 49397728], [46823707, 2080741], [6608186, 23670340], [7196682, 22118423], [76754911, 8853498], [50141440, 1460128], [30743902, 10875086], [77629606, 12893225], [63800723, 7117218], [27009090, 90418248], [73534120, 63833394], [89439682, 25102885], [50301967, 82534868], [58437766, 4284697], [68261012, 48516286], [91006618, 27475900], [42416208, 51163105], [50478932, 90377822], [20219942, 31541302], [743948, 62345087], [46161207, 89563369], [78770571, 27841013], [67117233, 95914228], [2955086, 72577933], [76091213, 82157294], [58124325, 45092237], [26765326, 23426240], [10795841, 50264026], [10081794, 62067692], [24825427, 97845573], [44472118, 49589440], [81921335, 49407227], [46766508, 48596335], [6117205, 66170448], [82487031, 6728028], [67800204, 14669791], [27075051, 29171159], [61770420, 56651166], [21542812, 22778256], [61019070, 9570627], [83139281, 17392157], [59103436, 2018557], [19159081, 349478], [93349555, 25727228], [7775350, 19589934], [49743701, 52892775], [48616261, 18757751], [50812266, 4599078], [78533774, 72284297], [36568839, 28017928], [90486520, 72974077], [18315162, 35635047], [29119882, 39812669], [77467872, 29147757], [55406023, 60362373], [81395801, 13927944], [39381818, 1080998], [20846243, 34497685], [78125334, 62933009], [80415561, 76082187], [33382842, 76061369], [42773923, 99220521], [75009215, 35309823], [6730354, 67919331], [13302118, 96786914], [12627410, 70598039], [58004215, 44773636], [7353744, 60440753], [2521068, 46939136], [69659345, 72555277], [68797418, 41145616], [67654650, 50023426], [38507171, 96145210], [77763785, 46119972], [32358532, 65203316], [44762806, 28868572], [79491214, 62662187], [51621773, 62314232], [12980701, 56411917], [38984661, 19437027], [91172513, 12817738], [4873995, 29027615], [39740469, 30222385], [59102865, 57302024], [95254479, 72046028], [71782740, 44733072], [9098787, 83596147], [5784749, 84787532], [69609417, 15225577], [31620662, 91207051], [86505825, 80595004], [91255458, 39217257], [11766075, 19645727], [65324210, 81453878], [31142220, 99219184], [98443070, 29519272], [70142411, 33310611], [34448575, 87975257], [68107004, 68584377], [7691112, 57094577], [16341898, 87284819], [55345689, 58218056], [63594981, 86155979], [74718897, 47386337], [63503187, 61837514], [53781458, 69936303], [88947622, 89769380], [40457207, 50139967], [85981851, 89262340], [90743686, 1195363], [6960660, 23543194], [74023341, 47593499], [75257681, 72419116], [12880366, 28662068], [82744082, 7006044], [46689790, 66662048], [75588358, 28696800], [47928473, 12639749], [14306763, 15303978], [73155050, 62269901], [41475494, 55713164], [67287463, 79252590], [44578193, 51341501], [49546051, 2335134], [56648841, 87017601], [15833098, 59054862], [52845413, 63058631], [15549008, 14781530], [67817872, 51964985], [34128187, 41816140], [35447445, 69097877], [97096667, 91819788], [52278136, 60600882], [39112074, 15340559], [31698405, 91198186], [55836276, 74443210], [89597833, 80561860], [59681545, 41614471], [17488077, 85273229], [59296176, 71811978], [52474320, 72024484], [99542657, 65767006], [10811624, 69276414], [28192976, 55589422], [1691572, 50671986], [68090506, 23057643], [92340965, 45996179], [77562587, 88954573], [18972633, 23000743], [73031344, 53763241], [71349723, 64942616], [59850972, 7085576], [94708182, 65716704], [47002781, 20724781], [51785545, 72742349], [59183740, 14951981], [13882381, 81172791], [86054120, 95739260], [16934229, 25943544], [95352123, 72604040], [81301078, 25764591], [29261330, 3939385], [47963743, 63347462], [85981474, 59164404], [17382104, 89158308], [32932833, 88881837], [7975343, 17573101], [68790113, 9749219], [82430518, 87536743], [73387554, 94974086], [23836190, 9761233], [89505053, 21961582], [68875451, 41665849], [96962881, 44961694], [15767754, 75662630], [4685507, 55160280], [99008904, 92106428], [21204766, 25467743], [9046607, 95895969], [90395386, 20235101], [1388390, 68823243], [61874782, 39537892], [97904884, 65299448], [29921586, 55581580], [26214700, 22621591], [75627900, 28684498], [84392656, 67591069], [97959142, 55262622], [7148349, 20904593], [52820537, 38545058], [22742652, 47688346], [27398097, 8521987], [23076662, 12261157], [61348104, 31417044], [11261872, 83300477], [31756979, 66056434], [5839082, 31365055], [62456606, 35649810], [48922441, 84970067], [96708914, 45944560], [91950657, 12844262], [95099345, 60342242], [72414661, 59121868], [17896601, 68442898], [83985842, 12217476], [36544207, 42687231], [14785795, 32169848], [3364650, 43517917], [79960979, 16624549], [74903837, 22271861], [61097360, 46433104], [39174746, 50002758], [79457262, 61601348], [63645428, 26601466], [66139857, 27918255], [84212874, 82802631], [35066686, 73416269], [51070762, 9834450], [8303987, 31627220], [21386538, 75577783], [50350533, 95983872], [99679735, 82779812], [77678171, 47701803], [60480810, 92291359], [21319329, 12180102], [73255086, 74108852], [64124864, 63228002], [49432193, 23884855], [18490122, 51755153], [86151462, 308389], [63688735, 72493379], [10617619, 6261374], [87150859, 32623629], [22670155, 29125770], [81801629, 9054980], [14994456, 64474587], [84158613, 54993776], [14662637, 29446234], [44477867, 29521712], [33558006, 1484282], [77114924, 48504381], [58597265, 97032403], [35660073, 23773095], [19640803, 46199461], [89630250, 70338274], [34446453, 38550352], [20269865, 7372987], [65595799, 36494547], [73105407, 74109538], [10076076, 77047739], [64069413, 72865530], [95063215, 65384655], [64783155, 51426418], [81584182, 75433196], [85150880, 39093373], [49856101, 72338520], [9334166, 98933238], [93355915, 66331720], [30754388, 95662648], [21164085, 63671601], [95469650, 55543392], [80508134, 30689136], [19214627, 27641157], [99851704, 4213711], [39480670, 16262147], [99707103, 73327224], [2923094, 41104433], [10822862, 48724991], [96246510, 39902297], [90306450, 40960136], [60265662, 32068469], [95446775, 26422055], [22376753, 31571306], [99019867, 32305065], [90279146, 18813307], [39218660, 97652929], [94795111, 67641243], [59376011, 61747989], [98070541, 59130714], [92977639, 64453234], [99249846, 8083132], [86859663, 72729968], [8332601, 35037664], [74631423, 33579959], [99262429, 84881941], [844016, 97074291], [88043480, 47396797], [98936403, 23261130], [81750183, 77056062], [62051910, 59065150], [15742638, 85043168], [71378931, 40617465], [16682494, 51007932], [27993577, 85721556], [83463721, 87019815], [31828345, 86550926], [65593007, 48633590], [77261341, 49304807], [43008929, 93929261], [68969433, 14250118], [41478928, 49487602], [59080431, 72311278], [68920579, 94004761], [44690443, 14215063], [38184302, 24276268], [37141752, 37153118], [87940261, 91227947], [17723338, 66108634], [53540338, 52324113], [15010712, 16102783], [70366667, 55740151], [21780377, 70451803], [66844104, 64743659], [99305892, 51912730], [41796215, 39944023], [81849238, 71638658], [89844308, 30072730], [54475409, 14606437], [33624922, 24669365], [36071553, 13288415], [37334499, 60541319], [38787457, 88067726], [11487798, 50079190], [5650153, 13257208], [11810012, 29909892], [36702630, 99821159], [94546112, 25775113], [17602425, 96299596], [35985122, 9683244], [8345773, 30072160], [29667217, 5132329], [32484661, 71313082], [4851304, 10456740], [32903651, 67557229], [19181060, 98810144], [22960992, 93605339], [71318314, 75531875], [38225647, 74113394], [12403188, 16704056], [85264465, 35036571], [64810043, 30550282], [2139270, 2368842], [61034269, 61007789], [20600098, 59972405], [38371024, 51340191], [38940155, 59914218], [41197983, 708448], [47749003, 87233764], [56596673, 64050057], [97814100, 91667848], [3096815, 19669977], [97469749, 22249178], [69500036, 49396234], [68498553, 6130876], [35926325, 26909036], [17559698, 20193518], [50232206, 75800124], [59332219, 2509993], [25049216, 83876132], [57451662, 37824950], [35886876, 75691703], [46168269, 55418924], [66375032, 56070080], [49428363, 10237764], [578570, 89376908], [37657131, 85586330], [35775531, 61665781], [61684666, 45182473], [20501448, 58249155], [63738954, 441693], [11631671, 82709630], [60269430, 69318808], [21947403, 36360462], [99458793, 73563929], [22247447, 37088134], [50374522, 50329121], [96032379, 70069394], [37104718, 18147175], [81565756, 86903434], [47652098, 39435722], [81012046, 14388664], [83281904, 66915308], [79108092, 531288], [38159402, 85731640], [43595820, 91414072], [20343070, 14286967], [899980, 38547016], [78044788, 54027394], [88411824, 68336221], [49922695, 36812471], [7374295, 87209033], [38674821, 9212809], [35363902, 51403298], [74228499, 86215415], [84780795, 39442459], [13583226, 45518791], [79338016, 86621281], [25352412, 43809344], [35939076, 24034202], [34415839, 9549694], [55615873, 9392243], [21055338, 93182429], [70607285, 31094909], [59549649, 63057648], [26985929, 81395709], [93046121, 70281196], [98019249, 37217570], [7012825, 21265837], [84111327, 71014715], [83493006, 1158776], [4501286, 96587590], [10361669, 88724897], [97892091, 72479772], [40486032, 20389041], [52550258, 60307210], [65595201, 1501841], [20946251, 84796106], [2810507, 57752943], [69136432, 32517976], [9223065, 83278039], [67058726, 40250837], [95726321, 5412370], [67504613, 47557612], [93908461, 65838432], [44285543, 79619948], [28669066, 68728932], [11115054, 43004386], [16696589, 36894551], [87354022, 55258318], [97956790, 58608048], [39051871, 65490192], [21089546, 706767], [50603771, 21757487], [2657590, 97832274], [67756841, 88779370], [16517362, 45281452], [71438534, 12309809], [34138195, 22840617], [85352460, 25812691], [92804359, 9605892], [59292960, 37967629], [97023910, 39931975], [51873201, 42754879], [13946279, 67288120], [85402598, 62037520], [31536451, 26643855], [37083674, 1687694], [66797754, 51122526], [20532941, 2794797], [95857319, 60641130], [99707603, 49285262], [72033631, 57063736], [22601578, 17156879], [96973240, 52367551], [31742988, 28639216], [65276743, 81739973], [50402261, 32055402], [45187712, 7029084], [1940523, 92946515], [74624719, 60556798], [73830540, 63278673], [33279485, 54448697], [29663945, 58064106], [80546143, 26248658], [4905335, 98707619], [62742271, 96449700], [34103614, 95013550], [25376536, 88433218], [52794025, 8552150], [61285199, 62382088], [19691638, 72227056], [34601453, 71858102], [55862985, 16851367], [14582452, 65195316], [89960985, 94353931], [24187673, 7180616], [89274331, 93394224], [47930110, 18075203], [17774608, 43257644], [42188785, 12406832], [75063350, 71151514], [59602536, 66821114], [31533248, 44623255], [83302087, 46293976], [91320666, 53699071], [46751175, 70228905], [62892588, 72027758], [66554387, 34969907], [54256957, 17736943], [45219963, 64748111], [74225751, 93895009], [33495765, 51464015], [45069366, 97080791], [39535982, 49690478], [48817200, 59969343], [85731306, 41332910], [2761362, 6955122], [4309877, 24197094], [66545937, 3660490], [74604256, 97524396], [66454926, 81450871], [32613576, 77685635], [60268048, 73307350], [71937873, 51328084], [36904444, 30379782], [45463851, 35286978], [84542891, 91906461], [54730243, 93075674], [44909048, 8217681], [58829221, 63836484], [27666647, 2817541], [40415082, 92202826], [80467866, 90663574], [90359125, 26109897], [35612076, 89562090], [634229, 32355368], [71086012, 51754518], [94595260, 66652228], [56932392, 86725091], [94241723, 55782089], [91871188, 53053146], [42363416, 85570909], [5620549, 75032292], [2442659, 15147812], [15333039, 78781176], [85482813, 31125580], [2530575, 63780409], [31470609, 58843069], [48737859, 86636671], [60466246, 90561496], [53252946, 97752096], [70656332, 518366], [77713094, 85583230], [35124634, 66122641], [61165958, 48697969], [56347127, 67764831], [60136806, 44510714], [75771577, 35571504], [73707535, 5197636], [85041224, 29059282], [89132235, 52451378], [83017929, 89620967], [7558440, 63869019], [1013628, 78103670], [95468708, 16389570], [75657935, 32053853], [23429798, 81753863], [26165001, 69614453], [32067448, 69728127], [27775963, 14930533], [77199845, 49856358], [24698643, 77227271], [18974940, 11069729], [3413128, 69586161], [46757227, 21922921], [84336827, 64185402], [92410173, 95668176], [32250052, 2701068], [72989687, 82548358], [87776382, 92466485], [39149661, 68198046], [48908079, 19902928], [58697981, 22316629], [20082005, 59168558], [82483373, 89465990], [14204627, 50971757], [99203546, 84397055], [70554191, 5331743], [12186545, 18453246], [72887912, 4122637], [4505544, 24437585], [39110375, 93025128], [61420083, 63784449], [66796544, 5164943], [38889678, 45797743], [71816897, 6970694], [57858046, 71571539], [56119352, 78552439], [47317214, 77255991], [63454630, 94768521], [899956, 95561300], [39935919, 12472459], [74679708, 76817155], [18483344, 57892768], [71692379, 97544935], [90621, 86116211], [64518443, 92283351], [85910504, 79983252], [16792052, 14345649], [65367168, 11286700], [17075804, 73800746], [70569569, 94885815], [27818100, 13476214], [37154712, 8048415], [5343656, 45522164], [44014752, 32108743], [35419630, 5732191], [67016078, 3771563], [25138309, 11888810], [23732467, 71394340], [66041865, 50771416], [254280, 69881210], [92967447, 39856108], [79931686, 68074769], [19063608, 59802652], [47047476, 91715721], [5711025, 46543516], [7021469, 4275212], [95451269, 7377196], [41148610, 50156177], [27287491, 44242516], [24273110, 52674582], [66453190, 74801198], [77321046, 777012], [30396096, 8471392], [84284428, 29212789], [97045273, 35903102], [83118008, 50691126], [2512597, 92343852], [33932868, 80446473], [365568, 63324558], [59026678, 71598651], [38946816, 29621291], [63270257, 55680371], [19876773, 41924937], [5582258, 37864376], [2571279, 48812090], [30803245, 53411164], [49151589, 84347722], [10179462, 60231831], [38741483, 42077129], [421908, 36712915], [24385488, 6575064], [98063343, 1467596], [11130960, 46497266], [21535185, 80814591], [84483197, 26781786], [14496963, 13234828], [39122494, 64984666], [19725585, 33599933], [62772462, 78584613], [87372245, 14703896], [31622289, 2887825], [84511410, 8309202], [96229626, 63313346], [41078761, 12220614], [17361106, 42751038], [96195457, 73833107], [14509892, 39976634], [80612968, 43617332], [89128952, 89829298], [12216806, 13304789], [51799132, 60614014], [1474574, 96102686], [78899826, 18533105], [11534380, 48534995], [34807914, 27578107], [89013338, 98203436], [87991240, 66971945], [12719203, 38347574], [4620170, 23595849], [36769074, 76110056], [78504552, 53008357], [42884469, 37760229], [31905990, 2798600], [17612026, 29414682], [85337115, 81609166], [78314432, 28502468], [55692705, 64978563], [6497563, 6602637], [61799153, 64939461], [58899061, 22177729], [42855733, 45986899], [74258214, 35489563], [6352587, 32812983], [29481180, 4411457], [81605501, 2188590], [64792673, 74922206], [50574607, 41390048], [68369882, 776433], [77970800, 23759492], [49064400, 8586630], [51797800, 33692235], [17113834, 27299375], [15537287, 86441412], [1787065, 73898934], [76982648, 59532021], [24520307, 30878176], [43814185, 71434822], [78024438, 64876703], [14826079, 90251243], [42307360, 96217226], [605210, 96822305], [68637381, 95939204], [21242340, 6847164], [22472658, 15905765], [44130533, 32367889], [715589, 96680145], [67124683, 50099566], [97371883, 57156829], [88058025, 58231510], [92051364, 50487713], [90125822, 47426356], [75390260, 28578829], [27643914, 28718004], [32107306, 18504609], [70062684, 90487060], [80836528, 70066439], [47805508, 34344466], [55591011, 73103809], [17409645, 78260431], [41586758, 17401916], [7024751, 49494392], [31088615, 30776170], [57826624, 82145533], [44523413, 92330045], [35025728, 8271090], [15787847, 25867567], [26255799, 20910455], [88187717, 11549424], [66373728, 7084293], [83017993, 92541879], [19570696, 44999037], [98308650, 34079849], [53617332, 38085182], [52051064, 59982612], [49689533, 76035948], [37012878, 45324514], [63933577, 57863938], [85148677, 32758512], [52713265, 24280528], [42883322, 9363138], [67195384, 85021833], [63900289, 27688743], [25857142, 83139312], [59392760, 7863912], [65737168, 93607280], [7065865, 28964543], [37630213, 93220810], [19219945, 1329009], [17609089, 98751498], [38384020, 39958062], [26494540, 34735454], [45081643, 51500637], [74935677, 73774687], [2798421, 40798194], [79209393, 29464644], [42130584, 55300890], [71163729, 53617354], [43866471, 71635930], [66458000, 37452484], [25580197, 35043804], [84128139, 45065521], [18354634, 27534722], [37943422, 83903831], [1402587, 68927281], [84562504, 95572156], [38050946, 84441332], [92129830, 48051417], [46717099, 23158848], [17481986, 45846776], [12342413, 84465231], [9722893, 95270689], [16839977, 50858391], [53139246, 55928293], [77120715, 87809890], [58156067, 84842128], [46915705, 66034423], [27731502, 57748535], [81248245, 87492466], [2996797, 4078957], [43607702, 17486307], [8444665, 14084976], [65448731, 24806510], [51878767, 6344891], [77887845, 37419798], [52908025, 4638763], [60550888, 7894344], [63129398, 94315926], [57414871, 60179162], [17008981, 80395538], [45137428, 48765831], [44701490, 22927827], [77793899, 42302091], [66919743, 7311226], [78459146, 88669122], [4405464, 48360485], [27424587, 1102233], [47749577, 78550458], [75160440, 13572589], [75203800, 81474095], [57753671, 38055730], [52736372, 33849890], [48521262, 75825789], [97146759, 66669706], [73438156, 16111357], [68574953, 66519060], [12715770, 5112965], [6620147, 59953823], [94150759, 45495082], [13272523, 90166172], [94712340, 25968220], [58021137, 68853004], [98946718, 50547907], [93483211, 37508213], [39538299, 69041129], [89709999, 93621736], [15693240, 94302891], [51574587, 16408574], [35176633, 57168212], [46018725, 80853380], [43481528, 11147700], [61240126, 56882701], [65044349, 39765974], [53051688, 91728327], [24258376, 64915296], [66032383, 12671909], [7629277, 94911195], [11124111, 82253957], [79791380, 41419319], [76344317, 77780347], [48224681, 44781077], [85527699, 41648259], [22961915, 44385622], [6622373, 16302715], [2200243, 25890645], [27035653, 76628341], [39770712, 13534607], [57182223, 53035976], [44200141, 82139133], [83457634, 24658069], [6521476, 47626051], [67489100, 59138961], [72604552, 48855778], [25954411, 41841519], [63159238, 5648438], [46562458, 99733085], [902678, 81856387], [12651116, 8994127], [79250846, 30187303], [15319545, 55528334], [87164424, 70254503], [58650530, 5572429], [53708015, 41382617], [43561118, 49897796], [27561322, 43137566], [21190690, 48600134], [49318864, 61024937], [44825399, 32503111], [96786072, 45046600], [17659928, 3735238], [62140011, 67706065], [56103311, 52909249], [35493659, 85969943], [74831553, 30134980], [87401830, 85970371], [98060361, 40041854], [12434936, 32317105], [95777706, 48152716], [27612113, 88173445], [25098666, 24645264], [90483181, 73935797], [56832471, 85919166], [75662252, 12297764], [63002459, 85784707], [10819807, 10165671], [40921595, 98990545], [12798343, 20619357], [30027469, 6415431], [73580640, 98420212], [52807198, 95504713], [8293171, 28682254], [18059927, 62978407], [30538780, 6421147], [52958499, 42466454], [38120289, 60118066], [67917376, 74613438], [68361754, 69160161], [79903167, 38219573], [21954411, 60689465], [31244652, 13749176], [66294146, 45057941], [2060137, 84141695], [20430819, 10715632], [23996617, 83484346], [94218884, 98698161], [69487108, 89482816], [97184535, 33610771], [44211749, 14671373], [5514287, 9502492], [88101098, 5013414], [38963556, 75535620], [56084327, 57101173], [28334538, 26487527], [85266395, 81528506], [9494039, 97545628], [58790181, 54741543], [13301349, 43270128], [5750999, 29538491], [97642450, 26825940], [55019835, 39638304], [48830165, 85135394], [23159562, 64431447], [59673590, 9955568], [34073778, 79151905], [18172317, 14066680], [71446978, 60034656], [20321411, 95399770], [2303812, 54146099], [83727896, 4753973], [77666052, 82537487], [8504510, 11863579], [30861516, 88679936], [51531025, 18170956], [4982894, 61556166], [14116607, 12262448], [1441639, 41882484], [27380897, 50933556], [52524415, 61795191], [16569592, 7397112], [62037825, 46646284], [61386278, 16020641], [53046210, 7848058], [34378475, 54596411], [13624614, 71289135], [32755200, 17608160], [22457036, 48353417], [32600622, 8612665], [26139006, 69936171], [5950639, 74789179], [37012489, 59734998], [80539932, 47373344], [16624461, 40006724], [46033951, 94672819], [60470254, 13575164], [84383937, 89443940], [846642, 96678031], [96564944, 84700850], [27502347, 27282049], [72361318, 68955721], [66500069, 73002404], [52514433, 34757960], [1450313, 42938823], [86876268, 57358458], [12453853, 45118581], [50583548, 69842703], [43906547, 87400587], [90536618, 12375136], [27526323, 71466227], [38991576, 89481579], [53148216, 95375231], [35900862, 49092716], [28298510, 85249784], [53196322, 46562660], [43539867, 42906797], [8998010, 265177], [1187655, 56046355], [125057, 56862344], [22039026, 2669027], [35386614, 35227209], [71944788, 92378573], [54217037, 87412341], [85214228, 62866312], [67132300, 22116967], [74871069, 13996834], [20695983, 90851033], [93968606, 56742200], [99510877, 45409623], [56474241, 95729346], [86943920, 18240600], [10175086, 57559832], [32076761, 46728358], [72139712, 80112435], [63082507, 65611646], [6216223, 43482408], [76875319, 69632005], [4090862, 74762890], [64638300, 80488937], [98887895, 51021295], [52820265, 56518824], [59864524, 71978939], [53614235, 7561196], [87467810, 70045916], [16762818, 28608977], [99902973, 90259515], [30363007, 70200123], [92750493, 78807421], [51356492, 36204224], [42783094, 83357675], [29740768, 60449000], [78011930, 34494642], [48881186, 48606417], [74740856, 73506027], [5348318, 80584633], [2488710, 54458958], [25528752, 75126804], [63097486, 54991861], [64148462, 31072277], [16399974, 63788508], [21167133, 80949880], [8808045, 45883549], [96330182, 4299363], [21977748, 1827737], [21059133, 91867496], [83876309, 51125643], [1378142, 82829820], [15519204, 8143318], [36644990, 99194630], [36958408, 10501866], [76802707, 22343735], [71760755, 22678995], [65002346, 79387952], [90038226, 45926949], [48120706, 55609888], [81688308, 22859825], [17507868, 1884044], [34182521, 54787289], [61670132, 51320348], [32073914, 54701863], [37143219, 45760887], [48038615, 31037847], [85890928, 1666850], [77122484, 98221859], [67682638, 87923109], [2865178, 7343466], [37956373, 89861916], [71718965, 69235686], [13938609, 97722283], [43292802, 93929163], [26129771, 69802140], [72962046, 28849889], [93932893, 9843343], [93903242, 49564839], [80579908, 39049457], [30296192, 99872110], [67838444, 24570634], [78676089, 39106403], [56099796, 58475768], [5705325, 2047048], [84832465, 73231398], [45501880, 12125036], [55443944, 58399981], [72381623, 78191557], [68327953, 41535123], [65643331, 78199344], [15869211, 56052249], [69836533, 91363729], [95501855, 66367591], [2139, 11435734], [41846326, 88965080], [90859107, 4697059], [61890740, 20036987], [61412971, 76043339], [5481964, 10003715], [78025404, 70394609], [99165445, 85666169], [13314320, 22487047], [1010972, 63684818], [5425082, 85570296], [92195611, 10757221], [42955558, 29744152], [41609433, 13479669], [13804491, 11832759], [83414812, 89742470], [7465254, 7494513], [97070619, 53108810], [65669493, 14237891], [66325631, 55018808], [22432033, 61095430], [43018803, 51068905], [73535554, 71905704], [91214375, 14105493], [25471416, 29429778], [8419899, 55508592], [70349125, 36428393], [18803182, 56560691], [50938790, 42862820], [45568781, 15059226], [63190176, 95337781], [50034954, 44119468], [78774803, 32850918], [82011868, 44932643], [2554293, 60853787], [81176227, 78035630], [59867671, 84549029], [74321042, 49538979], [41920203, 26703639], [24890149, 78902101], [91084775, 30989121], [14975742, 5805679], [75510595, 626656], [92388288, 83201214], [13265481, 19151856], [58163715, 59855958], [68021308, 67052951], [83477462, 41547163], [80374359, 25107179], [45177257, 22403135], [77215584, 79591996], [99052520, 57750474], [21926365, 27042306], [2700610, 21514813], [22912001, 21908670], [33799401, 51641910], [6739415, 77293124], [64330678, 30627294], [3660592, 904276], [61045888, 82445672], [91404614, 91636264], [74628275, 11616217], [76770079, 95891502], [62801134, 5833797], [19298357, 30325226], [67022341, 57053899], [86444434, 56966556], [61840398, 12531610], [56908382, 63942299], [42793907, 49187042], [92920528, 62765432], [88381837, 69655797], [50289072, 1691341], [70849882, 4671765], [46423884, 12396142], [77948198, 33995566], [89835456, 29848034], [86386021, 86856738], [9416206, 97379209], [91769586, 53072990], [32911924, 55388706], [22936836, 81606690], [59385398, 36225403], [62509138, 53705870], [78121914, 90120302], [13036855, 64322813], [64993535, 34241183], [36022206, 19845658], [60911492, 37021164], [35469915, 50219306], [13325313, 59198443], [69272449, 21284993], [61647945, 19972773], [63415257, 49147812], [90659004, 85437598], [9536471, 29795585], [83076328, 99716828], [98106699, 63805319], [43492579, 11612805], [797601, 59138087], [31378845, 62486470], [5886368, 13785177], [48616793, 98636732], [69941429, 38916704], [2093287, 19731879], [90740091, 25574266], [68751915, 4393598], [49863714, 90143644], [34394003, 45038123], [90379241, 32929097], [36341344, 44374199], [98860949, 76764144], [91445409, 40205214], [3494211, 56889713], [99064990, 12783671], [67875362, 11625276], [72996622, 86887314], [80626255, 48148055], [63704465, 9386044], [88103744, 43230480], [35580814, 87244302], [81938263, 43776747], [81202875, 28276302], [82121693, 12300649], [20267195, 39577858], [57923640, 32159236], [5609361, 98154305], [22573901, 63696983], [44021434, 14134705], [39379926, 52120342], [5367400, 76955451], [89004855, 67317596], [7356636, 7697795], [84629737, 67331556], [70795067, 66657636], [19276459, 95222921], [13014133, 64908205], [3024081, 57656108], [25679608, 98708357], [4206844, 6058954], [87851217, 97119574], [16328972, 47768006], [46019280, 98943630], [33823353, 88976282], [67023258, 77554865], [9089772, 81945165], [52802632, 28154514], [45426397, 4957708], [71815585, 52214723], [75305787, 42456030], [37241805, 25839072], [18976586, 54759568], [70235145, 7306945], [14504471, 26469639], [7617602, 31752319], [63536231, 87708749], [8645833, 2144584], [65769222, 84877179], [29221191, 91768797], [89299451, 78423721], [3405826, 97245121], [1730709, 50676175], [31337156, 121379], [85351717, 59867736], [29067122, 12725771], [64617483, 21945244], [80063117, 56885661], [49712642, 40095059], [54890011, 5827273], [47711090, 57031930], [23031674, 281281], [99372296, 30176868], [76749465, 30051083], [2886963, 32668918], [86819526, 53380691], [98989476, 13280859], [27614569, 94457716], [30965160, 63236882], [10282719, 2116505], [7066747, 369232], [63179150, 64355835], [29479233, 97025409], [4614908, 80501999], [89866680, 83010940], [46098866, 47778290], [10149974, 2888827], [45359121, 15296865], [77092251, 42820260], [36247554, 72923482], [39228188, 77001505], [17947909, 84769370], [76259525, 67425196], [3695011, 33966579], [4291914, 44863950], [4858750, 60068553], [85399066, 30197108], [95236395, 29141862], [53521624, 26054112], [41425807, 43253975], [39743495, 33534750], [90744431, 50680860], [48183919, 88699239], [34447805, 34922638], [86009208, 28931514], [88873885, 88371746], [48234918, 75915866], [88780656, 93689721], [8265591, 24679730], [90905683, 79143177], [96687145, 16443121], [6184767, 26751816], [48142074, 76377338], [12984969, 71224720], [55425390, 38846662], [54381515, 31005119], [2024659, 58876170], [59812226, 3555784], [67961609, 85145903], [61926031, 24757827], [91389965, 65832328], [71127731, 7238795], [70470354, 47409949], [10599660, 69757135], [97795984, 47452853], [27014783, 72472146], [62242999, 14445287], [93169956, 61767121], [1318795, 6633054], [41854232, 83371739], [59972106, 54525617], [80274072, 50640849], [58962778, 80187423], [30139587, 94694566], [58843222, 18490948], [93459021, 20012262], [55053281, 69031766], [64759278, 70317403], [98296154, 20132132], [59386867, 86319952], [49639941, 52460822], [82866839, 20045982], [98053589, 19139858], [75816357, 82676482], [710379, 77213393], [32562279, 64029810], [28940634, 9468285], [3649085, 23133686], [20964802, 12416283], [65998470, 30211731], [70029174, 11988140], [44662613, 31753992], [25997511, 75630024], [67183301, 56676167], [97500267, 46400170], [91173888, 54902242], [7770654, 82356313], [40741538, 14162608], [80065633, 20758832], [16501751, 13298613], [3718607, 19510244], [39860534, 90888927], [44989860, 90011937], [21604979, 52200618], [76439027, 8866933], [29817677, 52247651], [1325292, 77365071], [68851480, 27544875], [95193251, 59643764], [99142784, 30358156], [12254375, 86032244], [45313781, 67810275], [63095617, 48892215], [51113422, 78371276], [1376439, 15133002], [53339613, 41228881], [18915389, 47927863], [55786652, 23820254], [86627895, 22320137], [25784615, 35035512], [99290078, 51950438], [61115654, 28981700], [68574443, 82918555], [83844958, 58002761], [27457506, 47272699], [80029253, 70090962], [8153366, 49407953], [79108012, 25217293], [79755764, 68217735], [1265353, 70461294], [55937345, 52240442], [82386184, 94744568], [21222910, 38571009], [68200011, 50231475], [53907713, 86312375], [47621846, 75970690], [34423058, 67932824], [20253971, 35728509], [10910637, 54912154], [88829993, 72123463], [10512407, 25959039], [51999893, 872581], [3963578, 15670598], [29907174, 12271616], [39600750, 5711402], [95475448, 48780598], [16802032, 16076527], [49170020, 22765124], [63248792, 49348676], [3734369, 49403921], [76830460, 89432449], [66371223, 87284650], [20814615, 94297686], [93419733, 85094583], [58907672, 11776975], [43440856, 7702294], [85021745, 43490967], [60544320, 37720897], [14344135, 47778642], [84303846, 57029512], [40740726, 7351010], [93064833, 6310517], [64868544, 54279065], [89835581, 92288433], [2454391, 978482], [65803113, 84558654], [6857807, 65999345], [84364477, 99660931], [51894659, 68084042], [78324367, 73051504], [2857297, 78283392], [86379669, 94291588], [90534645, 43026904], [25162998, 23880732], [66916033, 78903124], [10640119, 43251337], [22426295, 62300908], [11560314, 44165905], [63748855, 83015585], [62024217, 54290712], [88796555, 84564710], [21572652, 58646446], [69925821, 64340219], [27281022, 56866562], [69304094, 92420279], [27852161, 11661572], [3990494, 28542327], [38376732, 73944761], [38092953, 49876236], [6245812, 3527463], [90541742, 43399242], [55360600, 23923454], [77607810, 57619231], [90239054, 650225], [13858705, 26658882], [88243752, 69554425], [78162558, 87960026], [83312128, 39979499], [60373420, 38696611], [90144947, 4415954], [1043383, 39572331], [73600947, 48277413], [73323726, 99964730], [36412994, 22314000], [3704622, 17940947], [5926635, 36286467], [86203887, 46050741], [94991592, 41712080], [61835376, 54303147], [84586142, 42945612], [628664, 14936856], [8150380, 1540867], [25111873, 11161209], [48451169, 14331649], [74543241, 98669190], [19111767, 67563228], [28818933, 97115843], [10467218, 66900072], [56992086, 53090329], [79909522, 57384748], [9926770, 61639851], [83938101, 71682041], [2537429, 78916483], [68934148, 54199105], [81672397, 96876524], [16024993, 71928741], [20583367, 68464485], [79379721, 9768666], [37944703, 79541801], [19024414, 87384162], [66852874, 73740031], [96177499, 67765258], [31199464, 43432399], [3508733, 39502444], [33705608, 74914834], [46479439, 11358298], [25485159, 90591407], [20399093, 93462483], [1650116, 42041913], [44961328, 10542733], [6126768, 52756289], [66045432, 9033201], [58834340, 24101763], [83705599, 3797833], [88583587, 91626983], [76198194, 58990864], [74219148, 18322614], [6632537, 6567075], [31283612, 14788753], [79972337, 8766908], [31463165, 9676322], [61866682, 58685850], [44352145, 45713486], [62360633, 13219335], [43766259, 5834385], [88810076, 85216823], [15130733, 54565541], [40165373, 50523029], [90067239, 1467643], [90442889, 695568], [54457360, 28529263], [14937404, 51856266], [54153119, 86824746], [12032120, 31769628], [42858168, 58174060], [35338524, 61091651], [11295798, 37748548], [85316778, 26953376], [85831030, 84532236], [87907158, 83063071], [97236463, 29427940], [29094685, 46146847], [95855656, 39690480], [85621328, 18504773], [76255673, 37540455], [94541646, 83445667], [88778721, 51877886], [63802029, 33866212], [38236429, 79825575], [61742450, 3410515], [3506879, 40474938], [90159044, 4947252], [20209846, 31979046], [4369758, 92546194], [80780046, 14942471], [34983097, 92807877], [16438187, 98037809], [88950280, 24917811], [76904533, 27942449], [50641017, 84929087], [64008971, 16495400], [88330485, 50155544], [71590306, 14842614], [97680403, 10091290], [98483203, 89025606], [22345290, 25012142], [1171879, 1639490], [29064234, 53971839], [75379062, 2396049], [9939956, 69156803], [36494415, 93078864], [863203, 33907456], [81404471, 26494639], [83035913, 70114114], [75340973, 72087964], [18308102, 75952114], [81359411, 57538135], [59126973, 47151480], [21041924, 90396269], [32299444, 32327532], [70327892, 13122829], [56513898, 15032193], [60769742, 14621781], [47931244, 7642850], [32104914, 59736303], [67350772, 78405571], [7839163, 77009433], [40036804, 38716126], [79856911, 87131957], [61526882, 31763872], [20876970, 80332738], [80214375, 26647798], [64965437, 77043864], [18321786, 48055272], [85958609, 78177854], [17120578, 95928118], [49072878, 92025164], [18590755, 73643370], [74389874, 52945580], [44659668, 51381115], [43338954, 99321803], [45067996, 68766141], [68198015, 92217690], [2263465, 72418456], [95119190, 61026743], [49978192, 80874983], [5361585, 20413605], [93690448, 71910115], [37479582, 97396934], [31622795, 33752239], [41609476, 31015984], [80173330, 50952226], [47990735, 1116581], [4582126, 25184371], [59591848, 75535000], [55194110, 15946532], [34593371, 97460543], [88168679, 54530162], [56647057, 18630028], [79088096, 94700888], [66650175, 24560833], [35397250, 16305452], [82730298, 23196234], [65692049, 82558359], [86202158, 35805389], [58814081, 29592932], [55990278, 14958637], [65859198, 94336241], [64901687, 77327355], [66311588, 44386957], [81421851, 13637917], [10492305, 99002399], [34373367, 22971209], [71867130, 41129790], [5834411, 43137813], [35407919, 28238588], [31450183, 51385920], [93301941, 9413786], [67526476, 29050516], [70830918, 59696776], [735039, 8661012], [10344864, 48876785], [92313878, 41107959], [90993086, 28951642], [47508133, 55728383], [63546529, 63080615], [48313423, 4578720], [58510349, 49672653], [32441785, 56539828], [49128408, 61389410], [10114989, 20151327], [65069189, 81577104], [34594602, 93037438], [62440725, 55560029], [46992270, 28302809], [14170677, 22089429], [28791203, 96322191], [64284110, 48501089], [76247731, 71951030], [44203130, 67359832], [76432904, 46023595], [88371074, 56638153], [44654050, 61461321], [94277640, 83734996], [27318963, 86611877], [77211738, 56574902], [28588263, 47140155], [45454465, 51753857], [57710358, 8886450], [57040609, 56489939], [89710432, 92001955], [16011827, 1609470], [70019176, 53983126], [46776018, 9916974], [78013159, 84247724], [49371060, 76230698], [66715735, 19648644], [61528107, 16815734], [57266282, 67908434], [18525633, 96401420], [79357193, 51061434], [51407192, 78572172], [67771709, 11273928], [26498957, 42945903], [89870922, 47770750], [38869780, 22409141], [97452193, 11218274], [11219314, 74098498], [98886748, 96879725], [70265370, 15720720], [46316969, 40291668], [54769907, 54671925], [80943489, 64972022], [39158339, 65131185], [42568919, 61521766], [40025201, 54828238], [45154945, 53838517], [33696675, 25079182], [85083884, 97922810], [11435122, 58840487], [90420107, 28852999], [72839952, 19011744], [51001903, 56116414], [99838933, 73406366], [59806309, 94406904], [67319621, 4638344], [33871849, 76537464], [13740459, 30836534], [26761068, 60552297], [44794400, 74354944], [49537912, 90602721], [92328840, 33507571], [2312078, 23529867], [16080718, 73278709], [83200137, 14582939], [2755373, 63307401], [26862223, 60245148], [95688195, 89725383], [17288993, 97658244], [43023425, 58739851], [50830546, 15667063], [84347015, 48236956], [1549646, 32040013], [77072056, 27728583], [64705175, 16465426], [88079702, 99736415], [58069839, 9078579], [21360354, 1229490], [5261150, 51799129], [50608574, 92936479], [9829505, 58694484], [10904915, 97179974], [38512132, 3247815], [60215178, 85001491], [33708371, 98963205], [54358490, 68427190], [85355524, 57660022], [1910017, 67322678], [36400027, 74090016], [2453983, 37692381], [28059559, 40292394], [93666665, 90237237], [20995536, 97866080], [16060821, 28233105], [76712388, 66031819], [5560470, 75196884], [40572048, 39684106], [31172431, 58633106], [5656651, 63099507], [54033301, 95511163], [95569209, 35706022], [60963753, 5166277], [5208678, 14555270], [35366347, 35832295], [75822963, 10117005], [11508349, 75315243], [30263577, 70448931], [24513104, 87386171], [70680826, 38032], [647472, 5197666], [42504790, 64561469], [57040184, 39640548], [1504602, 52443390], [57460307, 84159086], [4890056, 50106129], [7108660, 67802635], [12780062, 12796280], [45164218, 29259640], [80459066, 7909793], [23748664, 16334674], [65074015, 22858570], [62996730, 25048907], [56009251, 97024714], [98563611, 39742722], [49452350, 16164318], [26622527, 30198852], [78297444, 62317923], [81476661, 2904240], [59460441, 45328932], [87977698, 99448076], [52084961, 13399867], [89870811, 44900696], [45864098, 84957829], [46352149, 24299885], [97739889, 71291479], [98117489, 67804716], [36367697, 76662148], [38677665, 3950518], [79593416, 67264812], [97136286, 70275715], [87132431, 68570409], [97402105, 21265421], [75067882, 19145469], [4852423, 74494334], [10760385, 70821294], [60751245, 16658065], [68162795, 69881965], [24696334, 30303787], [27926881, 38810159], [63216776, 8075460], [76590421, 11490649], [23226362, 37718481], [19851298, 85946859], [74327037, 94101406], [96332299, 18277528], [7814056, 83311266], [59016683, 34709118], [44848373, 28931359], [99011511, 24295901], [98276333, 98147167], [89863112, 86923229], [20277886, 38084381], [64941723, 65410831], [57438532, 96630085], [16867620, 98875661], [42372977, 54195593], [96891903, 46083619], [56788687, 69264047], [53481379, 23514404], [97417026, 31349770], [15690990, 75951183], [51855630, 31026822], [60927643, 21929827], [51629188, 43601564], [97657656, 80663317], [4545303, 75441043], [79295447, 8336207], [83619267, 51480343], [32170481, 31298214], [26946128, 86070690], [46122930, 99978499], [43264525, 35218914], [77831339, 58776380], [38531643, 5506327], [21887155, 42982424], [35134706, 76609905], [94417829, 22040794], [98657244, 80912251], [35971203, 18248100], [49080440, 49752985], [43797979, 76365630], [35203328, 32269382], [77909638, 31120335], [1339067, 23832813], [85414325, 89024598], [6845802, 25919271], [43717501, 52555640], [20838418, 19498171], [42757264, 26861437], [1458602, 68544613], [22986101, 643906], [61010592, 517906], [75944202, 32030752], [50891806, 57487676], [39706100, 83382515], [85465447, 24942329], [99428381, 73271407], [61234302, 88597146], [907867, 4656465], [62961925, 72521039], [42410186, 86618280], [54711568, 16199662], [7183257, 74493791], [54896707, 12568564], [69311659, 86847523], [89044693, 78037234], [92514673, 1443125], [13941737, 42254916], [26328027, 97796850], [72146547, 41815383], [89724550, 34742804], [79182702, 27897283], [24678563, 55032785], [79157504, 53508906], [52015251, 18299257], [14156156, 50091243], [1801147, 16214444], [53086480, 98797351], [97282672, 43786197], [95284176, 35165232], [62048947, 2540175], [68045521, 90005477], [55483894, 99503147], [95783425, 21649080], [65443936, 76933471], [36377480, 98274795], [77203992, 81495390], [32849035, 27411461], [31666147, 90007647], [95114259, 86434696], [164708, 51885970], [78586900, 16263573], [58214266, 49271068], [95223974, 21586974], [54649173, 2999609], [33201594, 21149164], [54454235, 80336394], [35935197, 94614795], [33121317, 57386914], [21930609, 33141218], [3337401, 28137326], [24326728, 41647074], [98099444, 22863194], [7885774, 1998148], [22334581, 91488455], [66293468, 49033570], [95506286, 47183119], [14554301, 39256180], [3332186, 13932259], [63750085, 4340892], [30626785, 85062414], [58510339, 25125361], [78738890, 76920801], [2553894, 13743738], [30712267, 79212427], [49584234, 88157161], [9788182, 60976101], [5931891, 3454455], [93024949, 54031117], [21629046, 87658958], [42768816, 93455497], [74871461, 31308260], [72908761, 63336722], [85689179, 94106940], [89394948, 96340546], [25238792, 94932291], [51741943, 46265674], [21629289, 28692380], [15405151, 12445483], [28899849, 87725667], [98344653, 58754463], [16951324, 22013072], [82793835, 85456831], [6849118, 64995918], [35578095, 81019656], [15449763, 38814937], [4206114, 55790771], [14567973, 9328279], [38002137, 12188366], [86231947, 99916743], [44005536, 64164366], [25550723, 29847119], [91472568, 88969184], [16391059, 24234908], [61726468, 14170267], [60693503, 5725297], [43956030, 67222640], [64757923, 22556958], [31092194, 52728122], [16031416, 16673871], [35371191, 71850622], [73852368, 19610342], [70982351, 8585566], [61016514, 30309754], [3092968, 91917699], [13799396, 69416537], [44490408, 81259990], [84830649, 41567774], [43715342, 1862317], [96003373, 73757837], [52694758, 98868313], [97149482, 26476648], [62880072, 74117895], [38958809, 14888611], [7743602, 80283979], [29960606, 13364811], [69723803, 3089415], [60582839, 6723302], [72751462, 25885823], [85200564, 37263740], [70590449, 35974848], [80013801, 10568773], [50941932, 13230502], [78948897, 18888763], [7893646, 91480918], [59045044, 41925477], [40296770, 95247502], [92830321, 35121513], [14130447, 16913309], [24911807, 96077211], [80089644, 76992474], [20266300, 46141253], [48247419, 3610458], [17233179, 74610913], [28629589, 97116162], [19200274, 33302454], [85035275, 91564560], [75358995, 39397377], [26622941, 21952519], [23517970, 44082416], [81704783, 68735868], [7023418, 95513608], [79005486, 73344558], [71347978, 78174114], [92326089, 1118412], [15499618, 25989162], [49841430, 75528010], [76668144, 59376520], [43742238, 14563468], [71283911, 54238966], [9698405, 22747410], [50273201, 14038178], [37510268, 95070986], [71183984, 83253867], [82058654, 94048517], [8550435, 30832668], [90098735, 85620328], [93079086, 55666079], [18280045, 3549450], [70669412, 72942953], [3559009, 90626910], [60190449, 96573671], [95780137, 94601625], [42402224, 40949014], [25497164, 19984446], [61296749, 15077058], [96561270, 38383182], [12259527, 69408820], [53174190, 55070885], [73937001, 6243178], [63772758, 43103992], [76196102, 8355915], [51736683, 50175144], [37253343, 67690223], [64250883, 7973091], [85845399, 86882078], [36804900, 28064606], [20356832, 90797015], [52442896, 90729446], [23404960, 38119003], [80872107, 19250537], [88135146, 55110427], [7161321, 54361202], [24999045, 55263022], [78941228, 9345777], [17709556, 19653986], [64927915, 38655386], [7546901, 28302975], [96139830, 84314100], [63852812, 20866576], [29693087, 6448671], [75207452, 97863081], [16787153, 35821319], [18051788, 94346241], [70146652, 37699421], [84237747, 42070119], [12772605, 10913639], [21294033, 22733741], [59086568, 97166666], [1258505, 63905542], [51890154, 82563545], [4563998, 95781593], [68486474, 8974136], [51599811, 59304721], [76832781, 53346543], [72228039, 45024947], [2404112, 17140614], [27920063, 11919728], [82785405, 30642448], [96610848, 11792422], [87870101, 11895486], [50703148, 38295084], [48428799, 35001055], [93187905, 7189885], [90291433, 76319861], [77518839, 80716396], [40866877, 12573195], [41511787, 14852855], [75628926, 57019477], [52939680, 57258658], [33562773, 48246370], [90556492, 60922345], [30298629, 96724726], [6721741, 94081639], [30919657, 31691444], [52001355, 91373024], [1527705, 94512832], [7878841, 89955661], [38857654, 4264947], [99388316, 76715778], [71514165, 27253247], [47984828, 95673305], [92736847, 61844498], [40547194, 18506333], [43226143, 24490068], [1959184, 96528736], [56411544, 12367707], [6181497, 46676504], [83881659, 77055869], [24305982, 64108657], [40377434, 1420810], [58256655, 24807117], [38788842, 75400423], [42169152, 48531447], [40646975, 2982773], [56892694, 85451394], [71758059, 90037219], [50985081, 70204381], [5015325, 56153389], [52295649, 3417489], [27742024, 40643805], [55067141, 89820395], [88977075, 38441045], [96942786, 28359332], [36746944, 15182160], [19588073, 48541531], [64941329, 86078597], [15213752, 48265468], [3838171, 81486613], [40434401, 69832058], [87779256, 96518482], [52541903, 12721524], [69817502, 43992806], [54261336, 36381986], [5694941, 44135400], [39243632, 38215858], [49522338, 79464598], [68360813, 97767100], [33596555, 28423808], [58638681, 44505941], [72733462, 59341662], [90247072, 66969752], [18195227, 50741936], [96304431, 57541487], [92876291, 56385779], [24155139, 60650340], [10624774, 45578971], [81263302, 85014513], [27151773, 21286368], [86275212, 99625091], [43232124, 61295849], [27851286, 29098898], [22679345, 62983457], [34382231, 14997709], [79931922, 96141071], [75255514, 80802391], [47160333, 20877873], [54404707, 97162904], [1384706, 5381411], [95815794, 73948375], [27739594, 14389136], [33109292, 1683653], [69720330, 25446712], [49210089, 73737637], [78168032, 25034231], [35603146, 54978852], [95946695, 86509092], [54498627, 40114674], [35972599, 19253593], [98919755, 17584874], [37853653, 33907111], [7397007, 72517765], [58629768, 78582738], [33061448, 52634246], [81526123, 17768768], [86612510, 35796951], [39689620, 37941899], [40324673, 20228134], [58770487, 55237444], [9207602, 72000620], [52655812, 67772361], [23367422, 34024734], [23255656, 40470588], [15911437, 44366615], [63010552, 2375152], [60394912, 5637302], [70531668, 83382752], [71931370, 45235395], [87804950, 96976679], [59658766, 55569517], [34406389, 76651807], [52188770, 59864288], [55426186, 34363198], [15806387, 57288546], [94493514, 27779659], [569754, 74129688], [98570278, 98329606], [97958259, 80609256], [31026180, 40951813], [28493705, 75865064], [2905959, 6331478], [57762672, 37982753], [7673551, 7200405], [51296165, 712199], [73478276, 16536604], [87604125, 65857835], [92457001, 47888], [61024405, 2657790], [34794107, 24295707], [52733840, 74603469], [3033693, 8795346], [89739766, 20327034], [92166785, 51164707], [40485203, 64170499], [33416283, 79205636], [11945850, 15996188], [12967241, 56570105], [49348396, 84604692], [85384477, 64649082], [33773788, 48846821], [45397719, 1978974], [89354712, 67313123], [61187562, 28399476], [62165434, 63449143], [91079224, 49812462], [93618836, 13415453], [85724088, 46878853], [7396512, 90562221], [19133703, 37074409], [48821720, 52617941], [15794086, 97000936], [83641913, 16730562], [48718421, 24816036], [97516736, 39360398], [60314067, 47639570], [96926293, 20623336], [14230438, 28434984], [17108500, 22773401], [21598984, 60462466], [70718213, 87078663], [42741364, 70676600], [12573769, 45679503], [85102473, 37954608], [58149236, 91790095], [82173166, 85566928], [49136971, 24980944], [92876137, 60726792], [88066707, 53971772], [38360685, 78570745], [34148456, 53453256], [38532647, 29288421], [16791874, 5768459], [75697015, 88573177], [91273315, 79161011], [7946322, 99412353], [1770749, 60836436], [53199917, 97821690], [53117835, 35855794], [45745004, 10821832], [68734631, 88778690], [39170181, 65012506], [81500063, 36390743], [13797027, 72215190], [26019221, 84147821], [86727901, 6390489], [42489282, 26886416], [10183734, 16732597], [39856634, 52360052], [41608187, 81658144], [8709031, 81309801], [95012324, 38487866], [45667017, 46091967], [47380401, 19731523], [16996435, 58356635], [64752390, 68054937], [12921537, 66912355], [70386206, 62054900], [96545525, 21926280], [20837454, 21531403], [47829831, 79356608], [50681785, 88846431], [10517675, 73823586], [86456840, 5806319], [47923200, 82130870], [43799832, 7374786], [89592991, 42705608], [38665993, 83614925], [16598324, 45689804], [85079996, 41229627], [45163859, 64811586], [78398367, 63920164], [53256438, 78692142], [63039353, 5175217], [11106528, 48082634], [58229912, 30801251], [84938997, 48807952], [58828111, 99535524], [54919029, 91188578], [38072262, 99864272], [31163086, 49127012], [44019470, 95263718], [10980714, 83511562], [4268441, 95029900], [46085363, 14743522], [33796353, 52216854], [48611950, 52463053], [62219656, 86965446], [66869362, 38129600], [83276450, 65944566], [86455700, 252409], [30294540, 23528800], [15541804, 54146490], [6753314, 94415320], [87647250, 712353], [94358844, 45730866], [94739226, 42883278], [43960034, 81668610], [74256303, 54937484], [85409724, 89863102], [25317000, 13232378], [37879361, 57805555], [32848627, 16208296], [72166805, 40742433], [95511061, 94849000], [96833310, 13829177], [60732301, 23821726], [99000218, 73765300], [61944861, 69827992], [27617959, 51957876], [33329461, 19061717], [81883903, 48570441], [54184445, 19494174], [68858079, 39151644], [54072769, 64016023], [17907661, 44570782], [85402036, 73205106], [20418146, 96900134], [616809, 48356715], [49897782, 45847318], [3767797, 98095717], [77326633, 2104325], [88236916, 57615895], [99881972, 12964156], [70025656, 61558028], [55196836, 61389255], [90746950, 2814007], [50498902, 8685775], [95385034, 55265116], [14051430, 47809675], [70106368, 67538475], [13657114, 5850773], [41842661, 43067383], [36811536, 62507408], [35532493, 64978350], [30667683, 69238009], [57813494, 35306048], [89694009, 50879145], [40472690, 69951445], [98621231, 6785674], [63390953, 73475521], [41069922, 98394387], [10564849, 19696510], [54395192, 59790934], [42780934, 29799944], [55697902, 11634105], [65505846, 18723375], [70834804, 46193141], [13686271, 92678117], [19259839, 87538806], [93004538, 2461351], [2171775, 33702030], [72317763, 20224043], [3414018, 63130749], [73761565, 94353740], [26860423, 75350098], [24369593, 74357063], [75884568, 99035880], [96512075, 27347252], [85384171, 15126395], [26971241, 19238208], [50118277, 21356279], [49065826, 87720071], [43367974, 67590995], [64795622, 24906498], [56571887, 94712126], [23127499, 92307783], [44066168, 82153244], [80915666, 31669917], [36941029, 35156370], [31727414, 41746901], [89011581, 51074665], [15571592, 95922462], [40749633, 89219051], [8677057, 17089427], [49616486, 46976852], [88331855, 26135684], [90864610, 17341680], [52731219, 11518706], [55209750, 31962764], [63138654, 45854724], [11118456, 71108935], [66583757, 8981403], [16664720, 48068092], [85649426, 27162333], [75551700, 25385784], [63521528, 8483212], [43123014, 49566331], [77646581, 11499340], [60378393, 9449812], [89012271, 91863445], [63065772, 58219028], [35962248, 90026961], [97006401, 46226706], [88239412, 24294035], [60891730, 37128652], [11968887, 21598100], [51503182, 32885004], [16389151, 4586626], [1801656, 88970493], [81905805, 31897383], [97380512, 54846926], [29929314, 15627393], [51759583, 34965602], [79522435, 11609103], [57515455, 69766316], [47504299, 99715976], [4936519, 88767368], [61429072, 44389374], [16361748, 40490066], [23074542, 56841333], [88558290, 22235632], [71583604, 46723960], [68719553, 30900042], [1806383, 6591415], [86727246, 65089205], [87465153, 89609295], [10305535, 81940609], [11352262, 97806792], [95965357, 37397686], [98437841, 76428017], [56512074, 92320698], [59939910, 49692992], [49371613, 48790584], [75485252, 22725386], [91769054, 51773156], [20688620, 28889571], [86567078, 20126896], [9215984, 36030496], [29767371, 72629590], [11644955, 91813127], [1299655, 86318063], [70346399, 96882364], [68067760, 38298580], [85824940, 6186014], [16053458, 39382182], [8278876, 7576455], [14695514, 38101008], [64701824, 63507645], [53766645, 26002011], [48772555, 96044115], [96639780, 77664079], [65685139, 12334590], [23987741, 58317869], [33269282, 86644600], [12080835, 56685046], [79097143, 77436652], [28033021, 83629653], [19241036, 12905687], [73501417, 8189965], [77333611, 33430257], [40879268, 48739544], [29844677, 38525118], [31429318, 42244483], [29672773, 63920662], [63966035, 67973841], [24594036, 16219540], [80111935, 56044814], [43203466, 86251521], [15120077, 84145713], [96476585, 64558825], [91616715, 71454741], [49642398, 4218946], [90303103, 17962359], [63016305, 95381480], [24732581, 23775860], [73524827, 39451638], [36028078, 69601922], [55414553, 13111259], [12204949, 58893703], [88426206, 95608403], [2626729, 86342234], [57350022, 31131656], [910375, 43479192], [8108756, 35882382], [3654692, 42051340], [22434761, 68913924], [57376464, 43440755], [96667957, 83039655], [73256667, 99472281], [34503982, 55026690], [36069261, 98362859], [57880821, 61374605], [67754094, 24842758], [80303170, 15019490], [47101745, 70112582], [36300059, 541846], [54516803, 30343143], [86230776, 48985117], [9004067, 60365873], [58461497, 63176441], [67253626, 98356602], [76839909, 39737667], [89566194, 19523641], [46893297, 11963494], [93209131, 57399519], [98186459, 60752939], [67758163, 12693475], [11896743, 89577746], [13700362, 32295877], [39204120, 874782], [88520493, 79129631], [20912443, 41704051], [2151148, 49369796], [15484072, 86311805], [53979762, 97784670], [56769387, 46870202], [18647216, 63139256], [41479340, 60219293], [57365534, 2945097], [29695691, 91100512], [27987550, 4610961], [29862965, 60854627], [80846397, 59806464], [50202206, 28692635], [85750224, 14006982], [98960875, 72831573], [66311716, 79832654], [79867788, 26346643], [68096567, 47887206], [7441757, 69483924], [15776442, 62798230], [78926548, 53079181], [56999784, 11925298], [30992878, 51392647], [66092538, 29664565], [83904065, 1319019], [6209493, 33235526], [22823316, 36667448], [65855369, 3678394], [30714189, 68105379], [92231191, 88674826], [2946965, 71817729], [21032422, 23850058], [62114979, 42171790], [55927062, 77080359], [83090612, 88808889], [43817066, 17145107], [55283708, 4374353], [44813803, 8894507], [34120430, 25608030], [69426004, 5034749], [86672530, 44150927], [98571064, 77534027], [53057231, 39974017], [81199507, 18589778], [69934714, 93834085], [61346036, 62574549], [39352080, 30714629], [55330569, 98399619], [89604331, 71216408], [24179261, 51993331], [87790833, 48723315], [4370284, 60741962], [49409966, 78012739], [91917827, 75974097], [44952432, 54722299], [42846068, 63579548], [59532719, 46512283], [93131173, 73526055], [91077034, 3676498], [59738106, 83351530], [84807162, 88234315], [16035660, 27027266], [14433819, 36585346], [1561662, 88390195], [81655209, 74337687], [1938452, 78362155], [55351317, 41776297], [79095395, 74973548], [77922522, 87429093], [68635407, 14379445], [63073184, 99025839], [54834373, 7276559], [90808833, 72058390], [4718106, 59212917], [22900135, 98180822], [80058101, 11137307], [35186316, 11943004], [44850514, 12458844], [83215275, 89245429], [92363774, 66658818], [97673364, 31499921], [16067182, 39250913], [98642299, 5777659], [66660637, 60968932], [54544024, 49820908], [87541827, 10991054], [66635649, 27241726], [51786390, 42047981], [50075276, 80285539], [45239737, 53214081], [60054654, 71838507], [87997867, 69334127], [62398239, 16570814], [16857458, 71724255], [58422315, 54848286], [275030, 42316997], [73528214, 62205833], [44635876, 1504111], [44119038, 16992924], [5817212, 37714655], [7784953, 55448099], [25183164, 35190569], [77604720, 78841614], [66499426, 47038373], [25033369, 52154405], [1440073, 68448556], [69127139, 4755050], [88481831, 33095413], [58175709, 11399136], [32108591, 50899387], [40672466, 22896685], [14010370, 45982143], [73264935, 69826999], [14179510, 57682766], [32511098, 64032996], [22853228, 42333283], [48781285, 23127690], [81656284, 43686664], [61485941, 29739545], [98280215, 16537526], [68441837, 67213309], [89492868, 8167677], [60486222, 39371498], [70092448, 92967857], [88817318, 63270730], [86373519, 95318541], [28696160, 25077473], [40814587, 88414161], [24140251, 96944883], [39442169, 88261249], [39254037, 92491735], [12226666, 62551589], [66078752, 43926542], [80958877, 30262523], [61939634, 89422907], [96804647, 57713605], [75312805, 66750315], [43917800, 46989295], [70391585, 89062176], [40787842, 48502410], [38087567, 18049403], [56300357, 24263885], [98436361, 12546551], [60121631, 78991055], [72756003, 62629279], [46281391, 18287215], [28572865, 57774499], [44325636, 75798267], [85739519, 849030], [33644025, 39353949], [45144695, 69400684], [97312149, 68080197], [35969472, 12531626], [43394509, 71888753], [13173142, 23834449], [66068365, 88571743], [13535453, 51818393], [67008337, 26592629], [47079876, 57976721], [35550697, 58005222], [47613869, 97220964], [13893191, 18516200], [3843245, 20669499], [75903256, 14871788], [48331363, 40653065], [43990439, 29843915], [4228281, 16133564], [95347379, 9382212], [69148104, 35059148], [55029978, 57519730], [43966028, 65820722], [79759183, 29317701], [29748677, 93251563], [78793568, 77608716], [78414689, 94551544], [8562745, 37793982], [75293827, 52350745], [18003653, 34610348], [57960338, 18926451], [37476749, 54995025], [49246764, 36146188], [35664291, 42825541], [75932544, 48899175], [25222271, 88124036], [21872620, 5840162], [6117749, 81513933], [17505026, 91249356], [64631985, 86748281], [64504222, 39911335], [57274413, 27569202], [98889599, 46081715], [93320428, 89896592], [41619777, 50831339], [8222495, 86893923], [55169666, 86699974], [89676741, 5286232], [52771214, 87416982], [43032210, 75330712], [7357995, 65182025], [19639060, 24572223], [71322864, 92106217], [91899626, 16021660], [79307869, 45557413], [78945798, 92781269], [27903638, 59488377], [68884691, 25743458], [95974491, 76347043], [77235428, 90565698], [77464580, 47540531], [45341845, 64868029], [2147310, 81037410], [87217175, 19855775], [72849167, 64997442], [74366560, 49940464], [70324243, 69026275], [46602510, 87209738], [32766473, 19259560], [44733064, 78494526], [32791532, 71274814], [26693801, 82810968], [41730433, 57245826], [6721018, 15865778], [94990012, 68692544], [32442835, 56851846], [76706721, 64120570], [62861854, 74439962], [85836996, 52701997], [84428345, 81131284], [19752381, 68706792], [92990686, 44366273], [95735272, 84035791], [14346396, 85403535], [3105946, 61357429], [97002860, 69622629], [58150840, 65840385], [74977999, 28338940], [77480635, 58052789], [21845787, 73480950], [49124199, 79519850], [27303961, 97304676], [10504875, 56791700], [31268747, 24407399], [68984888, 75912058], [67709334, 72536516], [23151248, 93552549], [381652, 81141125], [95334092, 28405674], [9833782, 22970081], [86587098, 76111195], [13022974, 20073819], [23521464, 72325462], [2243758, 71990896], [80974545, 16605630], [88109727, 17727734], [49678785, 1769154], [62680632, 79865500], [28550132, 36339511], [77763338, 90090755], [17186939, 72222888], [68607515, 60052392], [40242490, 95620510], [79249060, 92036899], [7635587, 31778125], [15252244, 71095416], [42229824, 55863415], [39553048, 73432994], [795582, 66840034], [9334366, 94379879], [36542479, 78646581], [26844223, 46793074], [49952177, 79779820], [92593968, 93215342], [94392853, 88945853], [33840795, 32337045], [90661084, 39719039], [79686032, 45091779], [50298646, 94969240], [67247601, 1902231], [93771709, 39764526], [9224191, 87875589], [29559520, 46672951], [823921, 29828294], [22170212, 83981317], [19294028, 45765052], [54458256, 81280716], [82453014, 42709801], [76739687, 2367572], [47226592, 29834056], [14664532, 66679993], [92512347, 80896531], [52923419, 67530525], [25583320, 76399445], [48412425, 97666425], [68775821, 71053496], [98133327, 29463317], [93454435, 97069050], [61231100, 68083109], [11745487, 52077380], [60467315, 97246100], [85167040, 41597058], [7762487, 48866059], [96310087, 23632117], [30141227, 71478139], [1343590, 88711326], [18306817, 70643494], [49555753, 3223418], [85507178, 24311446], [7395970, 4244022], [67840734, 69431800], [78113575, 19529372], [42092109, 53432886], [15027856, 35998582], [20634955, 90295441], [23257867, 67595378], [29763055, 96808108], [46288535, 71837423], [60687492, 92834553], [62068131, 31503188], [72006904, 32907662], [44923234, 28197264], [68996443, 18743370], [44633010, 49375792], [73331706, 89934264], [63436729, 5859259], [94696459, 67595900], [92017110, 16127322], [26117279, 77623168], [61077262, 30124061], [47482328, 27667310], [66001497, 65659052], [44691400, 68808528], [71500663, 69427126], [80430532, 26794393], [70776319, 35393095], [53490618, 91302090], [53578533, 59758171], [77227861, 19361877], [57259837, 70523893], [21905849, 90502585], [52002948, 63758010], [3302154, 34578315], [82686802, 96119673], [96118358, 4176931], [61557990, 55463012], [15203860, 13726363], [75327041, 96345990], [41530151, 35675099], [84415877, 67713231], [96897540, 52315709], [26244301, 87211282], [50905934, 38323545], [6792076, 96544986], [3383774, 79682839], [65046126, 60971327], [65370545, 12630954], [18876977, 32190967], [44844982, 54725164], [80812710, 34290165], [38468925, 32176592], [11182857, 58525205], [61628303, 89576072], [90278058, 5302662], [82409512, 49816542], [89667696, 84322901], [2554833, 35523942], [38800552, 55771349], [87741618, 6213182], [25464527, 18777062], [53250096, 58772701], [65889274, 30146190], [37115849, 49179358], [58935409, 90139649], [93016856, 55429790], [40533779, 25925964], [6447946, 81367857], [2437772, 66918884], [95699961, 90267466], [58108692, 27828500], [62334580, 43036946], [9372773, 71568436], [16777531, 53266577], [79253969, 815877], [72580013, 55131570], [8831681, 30591965], [63918889, 83168865], [59458911, 61600491], [12831933, 12693905], [44274878, 71832335], [17182196, 70303870], [52371406, 41093550], [33207214, 93988835], [87479144, 64772285], [72072790, 94513504], [76055167, 67225160], [27183158, 78337554], [55199636, 49107821], [39172086, 15704552], [22898441, 65320346], [47600176, 32928538], [18034800, 66156083], [24444224, 29689149], [8112862, 99776529], [5018716, 13279922], [27386169, 69029788], [55314384, 28363436], [7538794, 33148674], [56094863, 94802671], [69466084, 1136290], [15868468, 23015108], [96379164, 9322968], [14867271, 17278418], [61317686, 62328811], [27834085, 53269871], [52527547, 72435283], [69102456, 66896821], [33110648, 37404606], [41965461, 14147524], [36439586, 98345823], [58438059, 88197650], [23607887, 68421392], [91254381, 14352846], [26680918, 4344534], [93239137, 53887732], [28268470, 82081854], [42782527, 95247122], [97392741, 54662145], [78575438, 94198781], [64363954, 90297265], [94950191, 19998069], [98018961, 62606616], [12143316, 6250579], [22733806, 6649570], [96880331, 55262107], [99378643, 59405756], [31782257, 27707927], [16080239, 16968341], [61514271, 37427540], [70380162, 58171606], [9534029, 90981567], [24990389, 80436807], [58483942, 60525635], [60797, 78207299], [24955925, 11437155], [22708489, 70756664], [33519663, 97937958], [26649404, 91432550], [8300935, 79897756], [33317633, 42719806], [11568357, 34769392], [19477396, 12524561], [39129145, 66967663], [77379662, 25099855], [36893261, 21004265], [41261671, 85873870], [25603191, 93674586], [62907672, 52599643], [48007149, 43118934], [6631065, 32467388], [2874372, 44200065], [26081627, 98626638], [61790582, 35665331], [4504330, 55557879], [34608391, 43565122], [73439142, 23572425], [90382288, 37374399], [29706267, 693470], [80217694, 45495128], [1072245, 4553788], [99923267, 11255718], [35268060, 8447230], [40931361, 49860239], [51264622, 21083859], [43795981, 7675403], [29022327, 93338889], [39527438, 65478417], [59398423, 49185919], [246742, 94643056], [98442601, 73451251], [32335640, 27962394], [58776517, 82231482], [7324636, 69889776], [31582853, 80868814], [11687792, 92726575], [49901068, 8912402], [18803497, 53002640], [96199409, 61211872], [61171419, 80219845], [74246908, 55923109], [44550679, 23965368], [81777983, 37086060], [84042812, 36921787], [31384806, 57108009], [5109517, 93409061], [17032006, 37345045], [43393110, 1627278], [85025278, 33351167], [56852467, 44366020], [28166168, 66653839], [19536085, 73741253], [2457385, 66527575], [67133799, 36544541], [43528089, 23678098], [55698453, 21523282], [60829600, 65694237], [81771473, 70053696], [21303260, 58638242], [97402126, 59019447], [72355194, 27861204], [19145873, 95841110], [72753883, 20041612], [64493983, 4323885], [22683168, 35144225], [21388202, 38670901], [86229429, 20030197], [36900807, 77646535], [13128745, 31191427], [64232589, 31006422], [48111937, 48467454], [41335847, 16961577], [89321421, 73784600], [94044739, 85274352], [87589133, 52311780], [64290937, 73912743], [43597818, 99264987], [34069688, 30113058], [20935165, 75947196], [71047219, 92455472], [22134393, 13341577], [54444718, 23021912], [19816680, 13961874], [28961776, 63311053], [86678267, 44498404], [78962114, 82754721], [13439664, 87972060], [79581419, 14194431], [82272108, 84187882], [3138333, 79269869], [30834285, 2898497], [23825413, 37848466], [46536340, 73990392], [93536557, 87213142], [54684217, 91634351], [2248212, 21662143], [72831483, 36481066], [55450632, 17262287], [21031936, 19097343], [6583499, 60452417], [9399174, 81588766], [69076896, 72499065], [6718057, 8774463], [7436539, 29785328], [83297533, 40291110], [45341910, 84874525], [57469290, 26191889], [38304730, 74916304], [84858047, 96420658], [1127404, 64186073], [28084231, 18296724], [15843634, 29013975], [76371314, 51445461], [204421, 24187225], [99919636, 55284178], [31454265, 91278238], [9780348, 62922811], [14790898, 90918461], [11744450, 11554469], [58847081, 89192731], [89429241, 46439073], [45562180, 89882814], [97248654, 66803184], [69926892, 13112681], [5948104, 42667959], [75134677, 4776198], [25653274, 60393076], [62517428, 62479462], [56842687, 79274429], [66545615, 85379460], [42043618, 62846291], [78087963, 34338137], [97187958, 60962644], [83923386, 10923486], [38570436, 71773038], [80541905, 71427287], [33113094, 73924781], [40085435, 23617833], [18413028, 65418341], [14592218, 88612987], [34456447, 69991004], [46368177, 69410658], [35287288, 77408545], [26192733, 3018199], [83089433, 22053743], [49305392, 11184259], [4801333, 54487366], [35754540, 32170980], [85007292, 42006662], [98255014, 90648751], [86397236, 55289585], [92819168, 6306314], [8391077, 30407129], [99662597, 55653125], [92811733, 94080554], [74431745, 99101702], [67610308, 89319583], [79347355, 90625036], [81976987, 99854689], [39912428, 8834859], [57250971, 90099813], [22143508, 2212079], [81779672, 37038341], [20713041, 46475780], [65287945, 92190745], [46845716, 72951480], [37456175, 6646002], [1472199, 25807748], [24050599, 51653260], [5015871, 69058889], [37683378, 21744080], [85578486, 69255470], [48036379, 21626810], [71273486, 14191821], [37608170, 23504400], [72208350, 15288599], [2598114, 68036930], [43211471, 91948673], [65114193, 25715645], [94678616, 42154019], [51599588, 23027886], [57770610, 36828391], [21891300, 82257344], [79869388, 78656804], [84217172, 84612699], [91058969, 24607664], [6503612, 98880074], [45925550, 2106354], [61950115, 27220350], [7151011, 17824670], [18574172, 15793740], [26458138, 6308985], [40492129, 79656365], [30066957, 81795773], [28921988, 88590693], [62958775, 59508062], [29894250, 46732305], [45300397, 87325366], [13496722, 26011767], [97425966, 70674107], [60577704, 42311468], [30177058, 98351631], [4153802, 51738559], [62509880, 46921413], [2859991, 38111436], [40773855, 58953911], [67645578, 62345532], [4430177, 20613625], [61939932, 33127106], [8707014, 19471236], [23410227, 60768956], [40014529, 37509261], [17676795, 1940631], [16829192, 26804695], [83207117, 39943684], [19510831, 23294964], [91956911, 18392988], [43015283, 67831187], [75051962, 8079362], [26109018, 79022944], [74278926, 37055393], [64931563, 44518775], [87921563, 22087496], [12905187, 57267851], [38952199, 6705739], [33437575, 58526277], [56913177, 52870728], [82639590, 11589973], [1065933, 79266617], [29520916, 73818489], [76182194, 91891652], [38036288, 54460230], [21280336, 84064564], [53612897, 13510053], [94586842, 55300054], [39072388, 73383565], [31977652, 70338562], [17052017, 71490165], [67503318, 22180329], [40664121, 83703819], [99442645, 83496329], [44479423, 69444512], [51836876, 77988588], [45004681, 64155910], [90829967, 54950221], [88177627, 68171885], [19064339, 65328979], [61533025, 43686154], [60124990, 2278091], [63982965, 41649105], [86619021, 47134234], [42457167, 67435509], [53888697, 40615091], [71844284, 51004812], [80059593, 97407817], [13982938, 3672492], [59636024, 14927833], [39689425, 48144794], [22576918, 1643448], [79103430, 6578850], [51544636, 54055614], [99060238, 96095616], [32321040, 14452861], [59318721, 6448853], [28178941, 8559950], [59132780, 18020797], [11818731, 56268874], [33917473, 21926492], [17918742, 42507337], [59713259, 57989279], [64136370, 41439864], [44410065, 87461892], [52110735, 40852413], [70951090, 78478863], [54476668, 75538134], [84603132, 17021210], [63611614, 47631702], [75867754, 36325696], [9469464, 76082072], [24026428, 19702414], [91369663, 16420935], [58831106, 12480680], [5088727, 34195471], [63264771, 23268766], [98669609, 94836322], [77814468, 71960543], [9389389, 83045942], [9520039, 87457518], [19994802, 30538649], [76852119, 97346788], [37744962, 62793445], [62172294, 3747174], [90345993, 5783322], [7185374, 38518114], [40215105, 29796911], [16837292, 76943934], [2480397, 49496952], [47726218, 99665023], [78624967, 22308799], [67965128, 55537580], [82309100, 84544648], [75719811, 28543522], [75801305, 66359857], [63972570, 95418219], [14011718, 86866320], [75183787, 47426140], [73352864, 43982965], [29972988, 43852149], [58563165, 31179255], [70472100, 7862033], [64192558, 11819537], [12364753, 94677022], [1693957, 91046048], [8218520, 14171552], [46540291, 97576924], [95351673, 78372102], [96522988, 46815244], [69052319, 22772127], [41524951, 86149194], [96206239, 30210603], [39951626, 98134820], [5096099, 41374965], [95305657, 64494941], [5398685, 49310331], [45230323, 78078159], [53507752, 86267935], [51546953, 23473799], [43816392, 21800748], [67701848, 3127544], [86712044, 29470425], [3944051, 58928867], [50431606, 95227061], [47479188, 1017282], [71209193, 60569049], [1090475, 63423669], [59537231, 70742428], [937408, 39314245], [36539878, 58918032], [30288044, 46997481], [33186628, 53310918], [64702884, 56649732], [41884953, 36156218], [29213587, 70518922], [98140283, 30038993], [33249500, 10405077], [73267058, 44673403], [90990065, 43767500], [13475425, 34381830], [4642579, 64087184], [48489010, 26179313], [87670151, 62047586], [71849422, 74619375], [26394634, 94227880], [13485658, 53975914], [10186683, 4401426], [79483409, 20942382], [98375699, 68191229], [97719807, 54109621], [42521192, 9979646], [9758380, 60574879], [32854733, 71333047], [24093061, 26597204], [58075334, 75999067], [41217435, 62948801], [98083321, 30300065], [23664208, 78449354], [84969110, 59128622], [58287441, 83049375], [46701784, 1219288], [97241858, 78887986], [63534520, 8335975], [12202364, 89375423], [91829273, 37859103], [96849369, 68093654], [44249116, 47025886], [56464779, 58009210], [15603188, 80739535], [67207775, 16273217], [76331177, 62801832], [15279824, 4792463], [28788984, 72173068], [21785336, 25617458], [1274298, 71939622], [50906895, 96978641], [42400892, 27744358], [54161897, 12869217], [93153578, 4594086], [91101738, 43687392], [42371066, 5813557], [91028909, 72925494], [48386521, 17949352], [88845637, 87044501], [81854444, 44399639], [44318803, 48283627], [20888155, 46935856], [23351860, 87573082], [99588670, 89087655], [35876905, 20270124], [32353699, 285823], [47480406, 692670], [92002585, 81396839], [15096176, 37560903], [475492, 70573466], [25705967, 61918196], [47589995, 6229613], [17718316, 87143206], [49734752, 95450879], [24771451, 95169157], [22482856, 84072673], [63569350, 26253560], [65486785, 8000127], [23452731, 99376942], [42123461, 9319067], [61485378, 62840534], [1233982, 37773578], [4528207, 95892182], [27238267, 864862], [54224340, 64490066], [25540180, 97000747], [76414231, 82481397], [14341040, 98016205], [37340754, 33739990], [20974578, 47641925], [46417967, 6826776], [75637523, 83482159], [8682893, 19887992], [51931033, 66949635], [44202554, 97237861], [13041901, 69403191], [11884643, 67224604], [52476693, 69390728], [82669889, 26768601], [30604527, 57807541], [63144571, 27004194], [36970007, 43844007], [45161419, 58073447], [78711821, 74318126], [74021929, 9968674], [46691058, 27221955], [20547337, 35192227], [48610832, 62515256], [46466802, 84645460], [58487209, 1129712], [69165593, 72124045], [73010968, 63654613], [33109634, 18214691], [42774272, 45295652], [85185444, 84322538], [74259659, 30496769], [21099920, 81053546], [76945626, 99902756], [39185537, 46429600], [10806314, 46665600], [13021060, 90583520], [99749765, 21165126], [84845286, 8019500], [55812078, 87412064], [54348623, 50358666], [78760295, 88001849], [57830123, 85164051], [41213536, 22235063], [45884672, 89680874], [54878880, 20119441], [48353932, 56896538], [46000668, 27926447], [33306336, 80751878], [3401172, 63893184], [61547720, 37611250], [48498881, 92056292], [97976393, 61556013], [35962343, 38684918], [92713488, 63100979], [38185421, 79871042], [22086527, 46603842], [80593670, 77963864], [52909295, 19468170], [10249870, 58937503], [37019244, 22144800], [57895753, 68267811], [85700718, 32183419], [43057614, 39511867], [87206470, 91403534], [58734316, 72589584], [67503156, 94937312], [57746694, 85982824], [43703920, 91158168], [49299799, 22472469], [91651694, 6956276], [59872703, 90473679], [64997441, 40634237], [10924570, 40263735], [61043420, 50437252], [45766837, 17469173], [24958368, 18068371], [14755894, 25368374], [8521518, 8159141], [14821063, 54104638], [59720025, 19284289], [99560555, 20581026], [36001117, 39062748], [62019679, 68632872], [13527311, 7612779], [88856422, 4261490], [76600994, 8735629], [27031692, 79080425], [98207179, 78810533], [46008148, 24389674], [28169277, 56980337], [11091905, 14664967], [43463435, 27812030], [13558982, 58131876], [73561148, 27784737], [79784947, 12514365], [18552772, 25577336], [68309328, 7621869], [94306153, 44963222], [12327053, 8670895], [90317381, 73276836], [7902744, 3277670], [24442818, 90521294], [10004742, 91195506], [50646711, 90780393], [43720125, 68378606], [47407132, 62592534], [54897007, 62601851], [72953666, 18104840], [51369380, 35107577], [67013948, 40617572], [45217087, 41513222], [80870864, 41613392], [35835261, 67747671], [62623485, 43126415], [26209370, 6379559], [48323625, 38517369], [58926305, 27904628], [45070546, 68722764], [51595677, 68478596], [16074059, 28375325], [29785537, 90661306], [88127831, 48829372], [11796430, 88782192], [58312411, 76307037], [80221882, 257060], [48122829, 78624729], [34976756, 21284178], [32520683, 39153312], [77832123, 58317635], [70056276, 83044318], [72555593, 54596626], [69621144, 24131994], [10188777, 23745538], [14791536, 49976844], [57027066, 82582704], [78308081, 51593198], [59586206, 38924950], [46226019, 34296854], [20566805, 22014686], [12617044, 92577615], [63925660, 88892394], [99201757, 90262731], [10806769, 79246786], [4544983, 54045856], [68780902, 36965799], [57047335, 37779883], [97581152, 8034132], [34137385, 5050158], [32884627, 72519466], [90268719, 29999432], [51524669, 87496051], [46868626, 30048798], [93235398, 41718532], [67680693, 90122150], [98995504, 92393415], [71073896, 44866759], [26559547, 11545186], [21147418, 19619693], [92833468, 85298076], [32447907, 79806408], [99617602, 62011970], [4685533, 95229002], [15901924, 88078207], [89391058, 54765068], [72646652, 12510640], [91819561, 3054115], [95295275, 17552773], [26685548, 55942815], [56142963, 81119790], [96841687, 74526079], [60554741, 18752740], [68612091, 96604632], [84000680, 40481569], [93199382, 59513860], [12557071, 28378003], [21688896, 71730500], [31398501, 75298281], [32961121, 14366291], [77281366, 45167349], [94315922, 19246401], [62099605, 92422391], [54921397, 68720110], [94493696, 33681353], [97940499, 66952191], [12148417, 91027551], [41259569, 72927468], [19587319, 8393622], [15310852, 94482818], [65283806, 84828192], [59537875, 66501324], [24930531, 26314172], [87259383, 20197333], [56875934, 60902626], [99449978, 18278632], [59047468, 94186995], [66331140, 73675877], [53403952, 69925208], [78665960, 25724914], [90283750, 92920552], [98407609, 92419585], [23995874, 95142877], [69994969, 4353154], [50107664, 30924574], [70778771, 96970949], [32523963, 86276827], [63141186, 57458066], [78344563, 19278386], [47423331, 7836136], [69830313, 48831301], [82358071, 50236056], [58821255, 55348261], [76125077, 70027764], [84593598, 18704339], [17457055, 82221339], [35348437, 52293459], [78355978, 22779856], [43014937, 28429362], [87976641, 65504434], [66837397, 43267103], [5683656, 5663836], [147252, 73296074], [69627145, 46103896], [31153879, 54618382], [87265503, 9967660], [2540908, 99106465], [25370649, 33813526], [23059196, 50182242], [61735897, 20110104], [93585873, 13962316], [94004893, 76609057], [69074645, 62147968], [45445379, 55187999], [14040218, 72939416], [27392757, 46964247], [90832634, 78741762], [65827892, 46479600], [15069417, 71582265], [16791081, 83738934], [37847505, 3439343], [52700878, 78412260], [18796586, 2843715], [73879956, 63555595], [37578498, 96521538], [8809830, 99028168], [10646120, 33256799], [75482492, 37430918], [68311961, 16559115], [17629010, 2896921], [28990273, 81516151], [50883075, 40194670], [90852265, 87484542], [51056250, 17829930], [11740216, 87457213], [48563136, 40525061], [24043185, 36496547], [38096546, 7954445], [68373003, 57604861], [54240301, 43107647], [61112137, 64018862], [85305920, 84504343], [88605930, 32233644], [52385532, 96231262], [19060784, 22009489], [45357224, 66033617], [8493240, 27262254], [87373289, 33676651], [37479004, 29127527], [49540776, 26809677], [51948293, 82876836], [80116560, 21467343], [4661368, 80956708], [33376160, 85993344], [14849848, 73767994], [77488528, 27782202], [85999060, 69256576], [16011492, 26218005], [77043132, 47556785], [16634379, 74053810], [33558478, 93224960], [97777016, 49438296], [93475625, 84457643], [38071142, 17825730], [48158809, 84980971], [53750021, 82164055], [49329502, 21804365], [33303444, 25744762], [50317377, 50331847], [67510596, 53839783], [42914697, 44688439], [11175449, 16490077], [73510491, 73228739], [11975029, 51110447], [73267224, 34192460], [31903939, 72833104], [22418891, 1830067], [80327097, 89966358], [45581822, 647966], [54017988, 18340370], [65305000, 2396665], [3182753, 440561], [87911391, 5824977], [73645386, 74309572], [95697613, 71121187], [87838392, 17307900], [72966862, 16148226], [69813428, 69602264], [4171961, 36563792], [7519453, 96412785], [56291082, 17099934], [4547601, 43893157], [18317675, 49592659], [49367580, 59137880], [45960363, 26656039], [2839300, 87757296], [96904796, 32159936], [21140855, 49838971], [67800263, 95436577], [74024231, 10635604], [8828755, 14199325], [9511627, 84262691], [62799865, 19946601], [71105294, 85804101], [89564161, 21692408], [64441631, 49123461], [14224666, 96688073], [99913295, 20124144], [16028846, 69799555], [19156869, 12883753], [85574025, 63706041], [77985336, 60695733], [54618632, 58532741], [68817571, 16247412], [81442469, 81332269], [91376608, 80587370], [99164389, 28431556], [18498063, 47934589], [5072995, 40597862], [86677966, 74274975], [81694826, 89990638], [14775873, 23313429], [90519802, 56608921], [41268828, 45264237], [67221436, 42255734], [89132757, 79013055], [3434715, 83233105], [74461861, 63819017], [26871170, 5547741], [4806231, 36845168], [97865663, 8680925], [73371827, 78530922], [7297335, 67276135], [15946032, 56354869], [86514927, 44539603], [68989929, 56406026], [96096179, 16907238], [90588184, 38983595], [54041771, 12802239], [89738075, 48621857], [74352797, 63139236], [90855729, 35185099], [40972353, 28737683], [78959009, 15905627], [81070094, 95670311], [21961146, 35251318], [34103339, 28783081], [95712275, 82279575], [52922040, 79991891], [46596343, 91585157], [59367099, 55238165], [96395153, 30083397], [29493337, 67779913], [31844621, 30883353], [84167189, 87587135], [6698700, 49824095], [58405531, 74738500], [64575430, 70437460], [61742847, 77569942], [63987122, 78818565], [16622417, 15254075], [99996278, 28210447], [89929248, 20525503], [63235555, 52427397], [84651710, 74425495], [59022605, 73258702], [59443965, 47981277], [67256407, 82907637], [26105194, 22210329], [48612192, 75849253], [83047792, 9376612], [43548120, 46826212], [20538966, 8426245], [60869217, 52836031], [50133695, 92922036], [11728216, 52717840], [35795462, 15880086], [2872092, 48902775], [56946302, 4823555], [56809651, 35309043], [22658442, 81061199], [92025640, 16675576], [69821637, 57991043], [44382026, 7722688], [22960477, 7014586], [74926409, 40055628], [92466481, 42836094], [80533222, 51396218], [32281500, 45101260], [13710569, 60950848], [55107680, 65144509], [36128412, 11360728], [33518364, 6595739], [63952110, 82096073], [51087814, 54640317], [86926707, 50982532], [10534642, 48735386], [91189087, 52914621], [65176464, 95892352], [17449701, 46005743], [23601528, 5728751], [38954337, 50560629], [49641145, 37280576], [79280824, 10484033], [86732978, 49157616], [23445716, 56390683], [17584173, 79606688], [23484639, 20316861], [14129443, 95452124], [38529328, 46330803], [22929589, 18109887], [71284967, 29551653], [13264058, 85863240], [78488594, 40394055], [40782546, 38583137], [89025090, 30859522], [21496345, 8817054], [67101706, 87849125], [13338136, 9945517], [14827342, 94290670], [16514849, 47152224], [10878477, 17344928], [31876770, 49097358], [76126469, 44339196], [32976064, 35260357], [15249456, 85648380], [76748233, 25003294], [88074213, 94861699], [32658034, 40326992], [36662157, 64716292], [59799075, 2638399], [85354005, 63205173], [81465663, 21069879], [108516, 44978153], [20383662, 10705490], [27412359, 55919334], [98290929, 14343805], [26118662, 61491446], [5147731, 57097964], [6615792, 74900460], [70688630, 25482078], [15896545, 54247369], [5030435, 83363147], [36686800, 8912998], [55179509, 39772874], [31579927, 57962735], [47375135, 94016992], [42923448, 41061582], [53077847, 81105071], [56237665, 93755018], [50691812, 93939191], [1338611, 4653433], [92163950, 57224642], [83199964, 65304980], [93512944, 46150199], [51241772, 97832802], [18968506, 46901971], [94350009, 36745221], [18153907, 57731321], [73885781, 68544118], [4022281, 73623459], [8760040, 16293549], [92962757, 3511035], [71828116, 9506789], [85882464, 60048693], [65371999, 20304898], [19565976, 95524259], [90278410, 23873914], [76354406, 38959285], [44388342, 8653251], [2702733, 28906502], [51481489, 75106919], [71758272, 71938081], [45288473, 5117206], [67238532, 53816546], [91087828, 11866660], [44598494, 29946420], [72009931, 75535956], [93660961, 37815779], [63172721, 18419185], [64870613, 42658780], [1446643, 15669481], [4368102, 74083415], [59945674, 30209360], [47415980, 32023015], [64846975, 58320262], [69865319, 48291083], [75306623, 6175401], [21208016, 36924047], [75906804, 30424973], [84210842, 22663405], [18232147, 85586502], [24132980, 8873051], [10950916, 22651161], [72861601, 41119353], [56767458, 17649801], [62279502, 23484523], [35335181, 74774037], [24351173, 52693175], [2981399, 59720516], [72016421, 10922792], [37158040, 18627611], [1637858, 58472581], [70849021, 79988232], [14136567, 56624304], [65543980, 95580451], [30328153, 17070839], [59425815, 34733760], [56968244, 68226], [82047890, 56046328], [3283507, 71685116], [83227245, 61292399], [93078737, 57122061], [40597883, 71575074], [38834675, 54971232], [90566037, 98544397], [98794941, 10406930], [68725858, 44963021], [20742434, 92256075], [21528294, 59730509], [48442019, 9912844], [64098195, 37028880], [42813114, 72869385], [86018019, 21109214], [49729660, 50620627], [30269095, 13175687], [32705884, 59495484], [2320545, 18412712], [38892929, 50366061], [27626863, 8926389], [45209668, 22304154], [40882870, 30392588], [66472907, 48913713], [59038644, 62826047], [54933754, 37855258], [53166422, 66488448], [88295281, 72152231], [27045449, 70196019], [66420352, 80949444], [29221552, 10580853], [61933322, 5090247], [94413377, 10421252], [60685682, 70280534], [1481992, 38462052], [67150756, 6383232], [34438614, 82904548], [75623234, 46474283], [70690276, 17003059], [9466052, 17778071], [34127017, 10412675], [65862841, 81071871], [49480414, 95402865], [3764479, 95957370], [85006922, 15237728], [92098726, 6084804], [34440548, 37636932], [81208240, 75294553], [74955558, 72852033], [34313124, 55592532], [65895908, 13984454], [40806480, 6437271], [62940092, 67563970], [6585276, 33008250], [52202585, 96851090], [94979110, 19090879], [64545127, 38779313], [77837725, 76290200], [82461930, 42052868], [13613508, 97960223], [48696147, 77180802], [81341084, 60167391], [29526461, 52301451], [84119960, 5760020], [4061859, 99723568], [74522184, 71353395], [57883498, 57035527], [62636924, 6937665], [42021549, 50567914], [97959898, 54861420], [92641378, 47555919], [53020635, 15880572], [59860209, 11471593], [64231549, 66685692], [55740801, 5605307], [13312628, 60409638], [96224077, 34404383], [73569176, 10924135], [84736767, 39126046], [22697513, 88181999], [301825, 15436703], [83516216, 62560289], [25094443, 58421373], [22023629, 54205606], [16355740, 73578280], [71812979, 22332030], [87940452, 86249287], [57811023, 47529891], [79895191, 83560730], [35112268, 3284641], [15700061, 90848440], [96652116, 16716889], [30453969, 2115782], [93377148, 70038175], [44735563, 9865263], [23350612, 86307760], [90268781, 17859353], [14924359, 77631426], [35684660, 73325788], [88364322, 5160238], [69718003, 69834824], [55105780, 64083793], [50270397, 57493952], [85782020, 30433096], [22838043, 31292870], [29248994, 4382337], [95634467, 39619093], [98696500, 61240485], [59231608, 30392686], [69841663, 43217925], [45857034, 53848612], [19129224, 34039886], [51377794, 34200599], [62444367, 52060772], [98736809, 23653759], [82743084, 18236900], [86265738, 91737794], [46724018, 30401663], [27745190, 55443850], [37759846, 5215736], [41139714, 78493604], [54933856, 15628986], [2233113, 66923524], [68470595, 46539493], [70447888, 67256734], [94470252, 66296663], [94415454, 11920231], [70722062, 49300069], [67197202, 86983788], [33302303, 27466711], [34329712, 39451013], [12644044, 41493163], [17568103, 52512137], [79354976, 69295855], [20433805, 79022231], [3235492, 72521454], [11801217, 87408843], [7638668, 53356334], [71960072, 85776673], [17501691, 15321727], [46765734, 70887863], [11992387, 35886375], [43556047, 67358788], [20977654, 29660219], [46668847, 74057861], [94316899, 41034044], [84976361, 64271757], [41989914, 13287979], [43301201, 78363435], [30981698, 2128530], [94283125, 65756615], [84113655, 30672863], [54749980, 75403593], [93651650, 91138507], [93017989, 59903480], [7030122, 33326571], [14902948, 69873981], [44314198, 72768844], [25134393, 46381143], [42083514, 64516617], [59318138, 55152831], [96391651, 88765609], [13338601, 99602473], [33487177, 97433654], [19954148, 7150505], [79782052, 95655487], [51957640, 59402888], [39681417, 10813282], [71703167, 64116899], [79889882, 68012852], [70030747, 97960032], [92744720, 36896934], [56905113, 44931851], [15008443, 99185286], [82173622, 24456649], [57939777, 92869023], [60359412, 39880075], [6722439, 818973], [67301590, 41037848], [23224630, 213968], [44922104, 77091875], [63945573, 73380941], [19280040, 55751233], [28642532, 9900535], [74099467, 48116543], [93798924, 34051706], [65539883, 96025917], [88498913, 62984901], [43537064, 62039749], [52944632, 60769529], [39763058, 76878299], [86913315, 9791065], [78039688, 1883142], [8834553, 76453346], [48855408, 52342303], [77494316, 93298822], [3057211, 29128376], [4601540, 53010423], [91805898, 44746299], [18767579, 21265221], [11185355, 5731775], [86791397, 35645792], [82396006, 64154550], [43687588, 75226962], [49982660, 66374271], [83085966, 46389562], [84634302, 40996366], [99895721, 49901], [39913773, 60652941], [36251101, 12448002], [97055842, 37660896], [53188497, 95639655], [50130310, 90168602], [94021876, 47049630], [84151774, 81668579], [62886096, 71607308], [17752777, 4258057], [81769217, 29271118], [26060445, 36403762], [26062434, 45721032], [71281320, 13040974], [39413481, 91466388], [11971305, 37941073], [10364555, 21956260], [61235057, 51877995], [2532964, 85763779], [26357049, 36336327], [59874800, 81310633], [57820294, 3346753], [65955458, 82804202], [27793974, 87978944], [92990846, 58597460], [35804380, 71783333], [98006055, 42294948], [82691216, 63769495], [39271534, 82198526], [5271964, 22973440], [10479403, 5147068], [83128489, 93046476], [16891214, 49700707], [57862929, 84344805], [49153599, 82147660], [13582264, 46145198], [27999566, 26785267], [12789066, 35041746], [2511761, 61543013], [72534878, 36404334], [15256674, 32653083], [11918025, 44232319], [3989491, 92585233], [84520261, 84593179], [37035208, 42463889], [24892748, 67602680], [46899161, 66076383], [33820167, 11522653], [87399904, 17993372], [69502582, 87275626], [4694065, 9152441], [49728053, 6488262], [7047168, 5949144], [12353029, 75622214], [50945617, 47240443], [93150052, 98986577], [61319948, 66927975], [8579655, 47465806], [59129266, 58976218], [54774552, 66274216], [85050380, 97618832], [5549809, 96964257], [83068171, 8069619], [76912909, 8623384], [66695050, 62229637], [54276453, 26164299], [95226219, 24033510], [88488003, 15380313], [36851267, 98338063], [20498342, 32103393], [96230667, 514939], [93584977, 29368854], [76410178, 26108614], [58802472, 69501656], [547742, 32263828], [36291637, 47574454], [195238, 88902368], [35255814, 39036175], [45196274, 37722547], [822262, 13793990], [59325409, 66820479], [67776736, 37821304], [43824629, 22589474], [90042849, 10336916], [34044037, 6397095], [54230745, 35411877], [21399272, 20415346], [67076447, 33821769], [25640621, 64284540], [99643207, 5639833], [79741824, 74327902], [9552126, 90399], [99382297, 41243439], [96925672, 46582290], [1257362, 12665445], [15283240, 68926983], [46926046, 71085968], [47134675, 3212793], [44344438, 9120838], [64473509, 48156839], [59075907, 2664245], [923262, 59548627], [67912673, 26987759], [74825912, 31449189], [37507854, 35041029], [41684770, 83122110], [49085815, 49257746], [71349248, 99192281], [13764863, 24463800], [1986708, 29903546], [55040872, 12598608], [23494460, 36607529], [83517928, 96479182], [8706711, 57210072], [73026105, 87216892], [67571341, 49293210], [70039156, 48193802], [9133916, 56368737], [224478, 35552497], [57661789, 87411670], [13159827, 43464642], [53960425, 15062503], [24920115, 35220648], [66396369, 96893972], [49781906, 61806941], [89502451, 62294672], [16966408, 86764510], [8610176, 78680082], [54391459, 41835879], [31097486, 51061120], [64168850, 50046055], [40476599, 29883841], [75768380, 21263830], [31032149, 22481051], [3557104, 97630993], [33087509, 92045089], [23669801, 61950239], [82200762, 44934281], [54786510, 61380742], [38063848, 82018420], [89054809, 56087824], [4582329, 89809448], [87217733, 82765351], [72777337, 56242915], [54189784, 36410669], [69554387, 27119475], [49601656, 63276358], [77395785, 71669865], [92470786, 8406936], [33421254, 60156181], [11494321, 64838886], [62321918, 69828691], [33908056, 55683745], [1310526, 77292090], [33345037, 80535204], [58464216, 51223327], [96895242, 41005089], [55282920, 99968974], [11887709, 49160376], [11794788, 70986331], [13226784, 25609082], [28290461, 2829289], [65662416, 54772455], [18603733, 80145765], [24055455, 62398742], [20638338, 87039710], [76884905, 54680053], [44748715, 98164599], [71324698, 66773021], [35242694, 4563505], [5659902, 68596485], [21264433, 30984029], [56964086, 6346772], [44402384, 91253345], [36466340, 29663840], [74956970, 30457116], [15920969, 52764822], [6973152, 32679089], [95581343, 21534440], [85681056, 36181661], [56997125, 10843138], [6133661, 11792100], [78101714, 80278025], [23554959, 62229803], [75395995, 84203537], [805406, 4949156], [26294328, 51749587], [76983120, 76108242], [35312326, 86153668], [44722166, 11580494], [27568758, 8523798], [67367084, 9366603], [75486167, 64067890], [50947177, 86644701], [31515819, 99805912], [730289, 88388295], [55393619, 55284986], [64238456, 16986102], [19997261, 71659365], [81476888, 42905378], [16223462, 99665690], [17243408, 69942383], [11662299, 19299253], [56341243, 88653676], [73576836, 26179515], [74332032, 26378794], [93352004, 71919122], [92931590, 61054228], [79949837, 95474778], [14987943, 13204566], [99747729, 12944766], [64572768, 26268232], [60227807, 73082681], [39558013, 91475244], [47574263, 6457654], [85380186, 40236988], [64197215, 381739], [56481015, 88997767], [23891716, 52403778], [96234312, 21597129], [86652321, 75578934], [43122960, 29975891], [89234535, 43552960], [9511483, 90363983], [36601386, 51287556], [63141775, 54813150], [10002061, 8952071], [20933305, 64744044], [172362, 95211580], [36844345, 44568710], [18548445, 80777520], [91628493, 31949502], [9614884, 45963045], [17796377, 53988836], [55564697, 23973491], [68779032, 13383402], [22371087, 84879739], [98642635, 5794152], [87254497, 14346466], [37865646, 315068], [70262538, 5522952], [9335100, 47907283], [73239765, 9324699], [1403829, 87968213], [31265382, 76030457], [19290333, 31261096], [7207749, 51347768], [82739208, 19359501], [50349917, 51678643], [80475543, 2708926], [6250251, 98028144], [61940094, 79170278], [17321638, 13400861], [64851482, 2454806], [40586015, 1280235], [81786560, 12954418], [13101748, 41695621], [71430268, 81901234], [40960756, 84122114], [4973301, 84164912], [71160921, 30590767], [6119431, 68565008], [31132531, 43745911], [44179755, 99735965], [99637081, 94476726], [58432549, 32368382], [77662944, 20362583], [53953313, 61690533], [96191501, 67621052], [20954750, 12559153], [23923502, 64064623], [43220612, 90564378], [76529510, 78042792], [33330320, 78217164], [38073737, 14460642], [83289158, 84750078], [67497808, 54667905], [22160231, 93658389], [57809636, 31069934], [26776991, 97546865], [55447746, 44311363], [8275804, 50779040], [73558979, 89411506], [61512380, 15448412], [10879118, 89405280], [53451414, 70447224], [69301957, 50147631], [74912593, 50718764], [24287446, 90399202], [86822546, 1147347], [58672281, 48730357], [49732101, 44095963], [15375442, 95651166], [25386602, 27641495], [2521387, 60097375], [63758561, 58594149], [55108058, 26919549], [87169732, 26711757], [87377258, 110943], [90588646, 81556523], [56771585, 60927071], [19481546, 3724110], [89054000, 13644850], [18319354, 97317321], [81173064, 76059746], [35630421, 11732941], [6151029, 92603423], [92594188, 66485187], [24631346, 83312186], [77240397, 64559702], [21627572, 43667149], [34198746, 53671270], [16169606, 60969108], [65453613, 66960784], [78922806, 21959554], [91266175, 62713081], [1119247, 74536191], [71452534, 86363049], [25473185, 25258129], [35539264, 34725432], [50708381, 30228363], [23910771, 96015728], [98273378, 98704299], [60803227, 97563336], [10274496, 3525175], [16126941, 10659345], [38269771, 32520476], [34567916, 66092281], [73182105, 43448523], [75047340, 89153789], [56288192, 23725213], [57867119, 5928890], [78237318, 35220721], [12663583, 11920064], [70051975, 90732430], [39312403, 68215268], [29313275, 26133530], [15039261, 20843293], [28025954, 14537333], [49747650, 50899179], [62105736, 17802758], [76846078, 28748833], [59804830, 12105333], [55198801, 72748801], [94391466, 16350620], [11792928, 22394278], [11692269, 38577326], [53389244, 62584264], [1047419, 62217277], [34741340, 28302063], [19943496, 79876643], [38239501, 43431991], [82026933, 23169526], [44804733, 99246328], [96053933, 68727549], [91341624, 4345672], [30609632, 7699390], [24409200, 32136514], [29457332, 23104624], [68060855, 59280587], [20153765, 30283286], [90564066, 40381299], [60347526, 7979664], [5409518, 52183149], [53270779, 85682], [91975379, 45519779], [65547406, 47910751], [88827643, 61375454], [55827622, 98544644], [67097183, 98384839], [71902811, 28155849], [93182494, 4809899], [65747902, 18280458], [26784643, 76857948], [39018441, 973955], [97990631, 10683608], [22642110, 89874990], [79414758, 7888826], [51448800, 42522060], [32715792, 51295405], [49725403, 57377869], [30459545, 85151419], [22528999, 13790204], [19700207, 49801575], [7097121, 69678395], [19970932, 29869139], [631526, 88753172], [30158651, 76443826], [83315791, 38055925], [31189907, 89842365], [36707034, 90406679], [59713787, 62068040], [36139878, 15054084], [92231350, 30629507], [11816444, 69374901], [84252242, 78683144], [57511035, 47267534], [8942559, 24178616], [171111, 56568915], [6302631, 95817596], [75893705, 25938759], [95892638, 81693812], [81966216, 39244591], [76765472, 86068175], [25284599, 659931], [54285532, 70438953], [5598481, 81803699], [83613647, 93499074], [71345201, 78913692], [8514391, 40746774], [18929976, 88607960], [38655063, 26980053], [42330217, 28628770], [80938002, 2232900], [12957025, 13226617], [94844840, 50860243], [98225884, 55775709], [49640606, 50306343], [80281396, 45951714], [99648599, 24940347], [68607062, 6755464], [51098411, 67552086], [6813940, 49497338], [97262203, 5318873], [5258695, 46180101], [19520097, 63661040], [79171345, 96327195], [21707856, 93347350], [5723428, 77342526], [56081208, 68406835], [56581763, 78083924], [53188262, 98173316], [61536408, 47905725], [82883377, 61192125], [85312981, 44926645], [20016224, 25660781], [23327512, 6225599], [69187385, 44039034], [94472806, 91443], [74506522, 22761511], [9119085, 29689170], [32959899, 11944293], [64253175, 64696014], [44307653, 74278699], [72495334, 68251451], [80527157, 49755766], [38305236, 18985772], [93273437, 47440212], [70741745, 18108968], [26919068, 70833913], [20881576, 76525519], [34684046, 37927970], [95181940, 98830720], [71676323, 26349733], [94298161, 13454351], [55425446, 23060627], [2698102, 21491839], [22904787, 35996524], [75392482, 38892049], [73889849, 57253853], [40347226, 44004713], [278889, 79971053], [25770824, 4876228], [58139601, 22055819], [23189412, 67117580], [63549144, 90796988], [50026120, 53915702], [57108655, 68766577], [21505239, 62535560], [42740802, 46547787], [58572721, 11681929], [46081642, 25901707], [81646283, 58788857], [27041437, 90727736], [93393913, 20344944], [85054754, 17915127], [45857699, 77271720], [26566447, 90334443], [32593866, 33813775], [94333001, 98565849], [23667800, 10462878], [9885744, 5470658], [1454289, 72379946], [12005535, 72148998], [86505033, 64331313], [14148586, 77831883], [64428570, 15907016], [6998083, 42994879], [85861299, 94777795], [53624809, 54128683], [19242833, 13289952], [67923057, 18169346], [78461094, 11619625], [44000762, 56978162], [26125063, 5150930], [50346957, 67607169], [9501394, 12513521], [31973821, 95180064], [98744201, 61243317], [46466495, 75597052], [81311342, 44400188], [48512392, 42071938], [76900587, 18156899], [46146560, 81886015], [77551733, 70210209], [98201655, 78636813], [77768363, 48523146], [42090187, 61033678], [79638210, 88147686], [75267611, 86138646], [44173549, 24180171], [47499276, 47481638], [12522081, 88841694], [74039925, 52673479], [61339601, 72047395], [95435347, 56531829], [60008513, 49324630], [77733420, 80754515], [41978438, 55163381], [79963373, 96200586], [54902250, 34721035], [85715490, 8496665], [84516984, 26726261], [42289597, 22948254], [58876359, 66414877], [46380337, 18886652], [53021024, 73271310], [34321133, 88419925], [67456221, 13359916], [6890680, 44524001], [29921095, 35960308], [99308792, 39062961], [94795988, 4470562], [57219046, 55676222], [8206009, 25940015], [88971028, 6400387], [12330544, 67218780], [91590640, 39661866], [29967565, 6131567], [15037034, 9000825], [15459939, 97366059], [64789024, 35510188], [62859416, 88929370], [46300410, 24979018], [50115820, 63316403], [90235011, 21697898], [87933824, 12563400], [33812870, 8907193], [41513408, 56806424], [9600898, 49695738], [5105258, 10613536], [124478, 97098553], [15076261, 6112326], [78706990, 98175927], [58446707, 19022036], [88761756, 17739942], [43583589, 98511754], [85350318, 67189028], [28324894, 40276816], [25085719, 42051248], [34016430, 5463561], [71659144, 70511110], [37978153, 99665122], [61179321, 54511137], [83011405, 89807015], [78381502, 95990096], [79583370, 23823050], [67039334, 35721065], [75206615, 43428456], [90898523, 98283021], [20349818, 33053187], [92119712, 33807275], [24575615, 8718583], [10677761, 17199452], [29318252, 307001], [88323506, 55508678], [18064691, 29602185], [54688437, 81137141], [29423844, 66470362], [68596959, 78042837], [89187355, 94775061], [99326959, 49614430], [77676016, 31890729], [41788263, 26788969], [63703612, 50362195], [78495360, 46268231], [72133634, 82221523], [21832903, 81366352], [80645084, 81486162], [86411900, 71875197], [89126577, 77848651], [20037560, 24246377], [73619378, 6686955], [50851313, 11544235], [73522271, 26083333], [56028340, 17685276], [53070180, 85706489], [98054136, 99579006], [37421658, 60154019], [65857097, 67252659], [77328241, 960108], [5833548, 48986574], [35198788, 2000666], [16418924, 84128890], [48400386, 93094414], [50035505, 71842288], [94496938, 57437162], [41912958, 86939066], [6913602, 72247465], [56391673, 68375093], [99118206, 80529319], [84092221, 34576723], [25224096, 91647056], [7383897, 41672625], [51731977, 67934132], [94507400, 41936241], [94338371, 17993124], [96470278, 14411329], [3388431, 86997161], [12029841, 95665797], [13552115, 851611], [58288560, 11736663], [48044699, 41517531], [63183503, 689297], [31127534, 29549743], [45935701, 40251844], [66283590, 47622931], [52703032, 40692785], [27240483, 45883295], [73766176, 76340620], [47164788, 27859031], [5658201, 19905472], [62240729, 54018887], [31750181, 2894922], [39437325, 50514289], [36137234, 43045584], [26152443, 63490528], [3684156, 21853738], [73605180, 64589782], [76391649, 70938682], [90585570, 3945653], [37452418, 80208944], [75770781, 89685854], [17800627, 93140545], [46261674, 2692739], [51865157, 66479818], [63957662, 27748862], [39594630, 10377672], [85441127, 39583289], [47230128, 74450336], [46529708, 25356406], [13049930, 708428], [73111892, 26009027], [2393665, 80365046], [80332088, 55810744], [20071642, 611976], [44759097, 29853803], [20188177, 94883754], [27964058, 93375082], [82919390, 84847442], [7111322, 90423070], [99082672, 33060824], [56438701, 12320535], [10277814, 88902212], [86050306, 48111842], [96198005, 72998148], [23982158, 33874862], [24425832, 13987413], [18389193, 71079081], [92815794, 51567040], [33441978, 45981076], [14330545, 15979596], [29631847, 97876224], [11720460, 42253589], [8927127, 61367482], [54100486, 80132330], [11726561, 77412596], [66676127, 81976451], [57125278, 11736421], [1731451, 62687311], [57666574, 96491246], [1320853, 42631975], [92977094, 13312515], [19456148, 56095623], [37812310, 7221008], [77604819, 5344207], [52141850, 79140551], [4048332, 36776995], [32044916, 65155426], [73876106, 39881483], [61105405, 95179842], [94311173, 19865507], [20465947, 33332778], [3005256, 17527969], [69086307, 96696090], [63214225, 74949264], [16638247, 54595896], [76593, 25617997], [75356816, 72645318], [76891447, 55522908], [38045499, 99146527], [40151824, 47457655], [14480497, 89820386], [5291349, 678927], [71634409, 16988107], [52870756, 68970876], [38097426, 95665763], [85631517, 22525376], [95143951, 96848195], [98619096, 53913250], [26523033, 94580403], [85112136, 56288249], [62712400, 17152052], [63825257, 99164236], [7466915, 63229787], [72469158, 33640991], [2587697, 77191532], [60606446, 92080475], [52731107, 67434655], [69733853, 92238858], [17430290, 34912895], [64363628, 73705150], [38019792, 27520253], [86032899, 19045775], [74191738, 70960694], [67568432, 20533371], [23539280, 3496830], [73637547, 12873462], [86222231, 96442001], [36054376, 49712264], [94159868, 28691704], [12310134, 17856851], [83288970, 38013782], [88373274, 19778492], [15192459, 33015070], [1922045, 63151014], [80169029, 76790478], [1694289, 23588915], [82272063, 99320509], [46076897, 2301428], [52449479, 95865916], [47234261, 51942054], [62158103, 32358503], [22295318, 62939142], [8318815, 20454174], [55761143, 81197162], [90953793, 88796549], [66853744, 94401518], [87733911, 78482566], [40482047, 2194203], [47286041, 31760577], [83942797, 81648897], [41268995, 20133879], [89054401, 10067741], [72160592, 6833244], [78391992, 42414580], [659044, 83304442], [93276810, 42449906], [70083084, 78880239], [84056423, 55774910], [29394159, 61292186], [10260857, 58797364], [13693999, 27666541], [66231126, 20091634], [3381249, 81755383], [48631005, 47587562], [62186037, 49866137], [69240393, 13419345], [40166894, 98391753], [99935762, 2685849], [53069651, 41869162], [44187303, 12091880], [94837124, 6589733], [43792521, 86842061], [64972366, 20890012], [35559740, 40903928], [2132338, 44212380], [62018330, 5138019], [45373976, 65747095], [78660705, 22946514], [26843326, 1592268], [41370483, 97742029], [34029065, 91729676], [91235462, 13890960], [82190929, 49867562], [86428187, 95080784], [2435235, 55743078], [91391231, 17139735], [34616803, 91164215], [94899979, 44524287], [6602678, 42334852], [63492861, 21619], [39403308, 90458171], [80923805, 74694727], [56518549, 53198907], [27670930, 32914089], [47694982, 54407334], [42196244, 26767788], [3509186, 9749721], [30300487, 47697687], [62969258, 39218298], [31483664, 76730050], [32982676, 48492896], [18933713, 7287290], [16903591, 55266140], [57712583, 12948736], [26460894, 18442202], [45723910, 74863691], [86575538, 78449432], [13988786, 29526259], [46354335, 47201173], [44402684, 91476527], [56606138, 8013732], [84168430, 38730271], [49766640, 45746440], [91941850, 33765218], [76412222, 98574549], [73308784, 96132261], [10731961, 68068536], [1108541, 8497467], [7546623, 53291275], [3011661, 52747707], [3764794, 91003744], [3152783, 41893593], [616986, 28803095], [40634200, 84012032], [39225788, 98881890], [79961712, 8330143], [19986921, 65293609], [24554787, 34434973], [6837755, 19496464], [93106918, 80360770], [43090593, 51950991], [17594036, 38666518], [14558196, 25165063], [33037292, 44009784], [13998630, 84716070], [21750545, 91145854], [24628864, 16557370], [7117486, 40142502], [56200108, 82178218], [45501841, 46339253], [18700383, 55891777], [76205764, 62904203], [86670634, 33105259], [35764632, 40431049], [23913149, 68967170], [54694698, 13470869], [38864575, 25024844], [80322244, 94634810], [7159380, 10507553], [14443395, 86139067], [61271111, 62006073], [79029504, 70220069], [59063453, 18241737], [94024510, 45453919], [38642033, 50553865], [27407209, 55740566], [92299513, 70998254], [88689702, 45744181], [50141528, 90617505], [23702967, 49812052], [69200786, 82344569], [91137007, 88505918], [6717229, 40923820], [91129136, 18349637], [57427755, 69257551], [5071676, 76246720], [87265390, 52254276], [43311791, 28827286], [52137942, 7907425], [46156309, 43863762], [25179932, 55499019], [21824957, 43162632], [28804842, 71570357], [42512539, 31446665], [3119499, 64477525], [69019607, 78434112], [70116733, 43762161], [10390670, 43511942], [62568059, 44199901], [96533353, 93189587], [97369883, 90596823], [54488039, 78200965], [14103058, 7262209], [15080041, 51355103], [97272591, 65356703], [88027419, 74967513], [89668305, 83104984], [44916026, 60240412], [49840527, 86282954], [17172219, 33459615], [69416727, 29177169], [22311908, 72877247], [3112126, 41833085], [98981576, 70710598], [71264566, 47547382], [97564078, 99903248], [12309692, 64670460], [97184109, 75959793], [14734148, 75646527], [8891970, 49724243], [15980751, 28962645], [13153288, 31842827], [25394693, 11955707], [24704954, 80377461], [23523948, 6809427], [3442249, 13675201], [21349124, 29814754], [53652165, 89735776], [8076850, 41283735], [76887619, 349569], [75459273, 3137667], [18187776, 18490658], [64322074, 11089264], [43198645, 65728239], [7404930, 68060331], [39937732, 43754469], [81162537, 6024701], [52490571, 79418947], [33129290, 37800312], [99410806, 12966186], [67011522, 62052916], [58285366, 32444635], [63472534, 1974315], [14570535, 66595822], [35043545, 34968848], [22279431, 51280161], [8833625, 76837535], [77178735, 32609967], [32420754, 62440428], [12011657, 69816532], [46446324, 99576006], [58146356, 70674095], [78521308, 74060756], [83648003, 39795794], [57741759, 80502734], [60925442, 69733331], [75966029, 62439291], [93120066, 40391192], [13004695, 70543539], [86904354, 61995295], [46686239, 57615205], [66958344, 46047636], [54718466, 30476677], [1536389, 42650503], [49641653, 14366660], [13030481, 63151489], [34362277, 17942645], [69762051, 50987265], [23782685, 35682179], [45574625, 19006385], [33982624, 34548629], [8027425, 50592085], [62756898, 98406049], [6524948, 57192499], [60289826, 23594121], [19218314, 75607172], [41159084, 37444472], [10774533, 83138268], [33739467, 5277342], [36352240, 11171510], [35304731, 49303984], [59275755, 17036692], [80820438, 16269436], [60481001, 85550798], [26688285, 37407747], [74117344, 65121751], [21025498, 70439018], [28959046, 3615103], [20566417, 61295175], [50855848, 98486170], [86567646, 65587685], [62135383, 88489179], [68726621, 74180226], [80493973, 8888799], [38083250, 56256770], [37867330, 88401122], [44043981, 11092862], [88764488, 79971556], [23494216, 32865576], [98390180, 94241306], [29818749, 46081032], [67271609, 37705842], [64138532, 63645653], [76199549, 21412891], [63964604, 23751154], [81018622, 37099457], [56956624, 3304586], [5546762, 86748542], [19679344, 98836906], [41503833, 93741094], [89153286, 8077895], [31580066, 60124458], [39508497, 19600770], [47486576, 28444135], [16785016, 73393739], [62026971, 62003373], [14307503, 30343842], [86159372, 38656825], [51078451, 24280114], [43061486, 51484201], [58949766, 54976074], [87504269, 89772856], [96722067, 83350682], [17887276, 74578917], [77498890, 91271737], [48045393, 50953240], [13326073, 27496681], [78504143, 22221198], [83495125, 5293082], [57986830, 63895887], [4313978, 30885115], [50844465, 55032076], [20769186, 39942764], [83708782, 47280987], [79263644, 47534179], [40274542, 98707147], [38043328, 366971], [62421408, 15021623], [51337948, 97113707], [155603, 14535312], [48019923, 97562349], [35207495, 59057197], [64197681, 68179662], [72035837, 84875769], [59769311, 58896065], [56572925, 90936438], [59841997, 89633470], [64350735, 69493610], [29249791, 7499662], [26338737, 5768982], [47927026, 10338841], [39872641, 27422229], [60956114, 43062656], [34059242, 3814691], [28072793, 93209163], [93998691, 92015779], [29510162, 97560523], [34883363, 8826624], [84872463, 47447959], [65216202, 32400830], [22733420, 24721049], [68341634, 197369], [36614383, 94316506], [23031324, 56100492], [49239452, 4539352], [76259051, 36766262], [21844295, 69143842], [92297599, 49584459], [13140298, 37925861], [95570136, 84120588], [6370206, 60584645], [26275656, 74755317], [8527062, 69452870], [34356276, 88854434], [90734422, 56505594], [54645193, 81783638], [81824801, 19565136], [88717641, 26625331], [74403656, 77706226], [22974262, 77561762], [92845552, 17620665], [83896265, 94139306], [44486684, 71897375], [70950714, 99333286], [1396617, 10709078], [38214511, 6599583], [18697889, 51365758], [96155583, 87219588], [84624026, 56865384], [95786083, 17966396], [63070849, 64227005], [86368231, 76501915], [416129, 11238032], [31495041, 24993567], [7597438, 62351745], [98197650, 17264018], [61421357, 47949397], [88643780, 8839184], [61713287, 3246574], [52200317, 63333967], [3702608, 36903220], [6645385, 97774752], [54663978, 21143091], [91982366, 9448246], [73361965, 3952133], [44018616, 29033612], [47476114, 26372493], [86968974, 51147250], [62214431, 40229849], [51160979, 20347785], [8548159, 62012279], [6741671, 28128855], [22992406, 97101140], [54204764, 63561136], [36467121, 69534665], [75777678, 95305903], [37293081, 86111307], [50451236, 93228669], [42379175, 2904997], [36188135, 4252907], [65038027, 15759812], [32372968, 24370190], [68133818, 90635425], [17318449, 87831276], [93069460, 4760125], [47678662, 99883687], [72692256, 87678619], [24305397, 88728815], [26438318, 3405914], [64709710, 4829510], [60678720, 95906832], [68670812, 88590796], [88547124, 38147677], [36956292, 70191509], [55556554, 85712065], [54876906, 16225232], [11064283, 26577822], [54654294, 87092136], [46442076, 85244476], [99972372, 47235104], [59857989, 3782761], [78415150, 6682625], [22013763, 20104773], [91985785, 18482390], [1617791, 45673163], [64086174, 24799589], [37124797, 58199200], [98272836, 16264694], [3622832, 11274991], [85932813, 2065845], [61718189, 19410796], [61972154, 18155909], [22549813, 9784981], [93588672, 15188527], [56791542, 56824225], [15688326, 28200703], [98349032, 57721674], [57280764, 5211587], [98714711, 97128990], [77404257, 30893334], [87332615, 69669776], [41135087, 11689169], [82035056, 88498936], [53318539, 77602590], [27236218, 91773001], [87061677, 82818547], [17758280, 80160580], [60482247, 17372382], [13654651, 63601291], [77986156, 50683706], [68974200, 60428551], [44789380, 80591582], [11271117, 2666871], [8784905, 36273331], [35911915, 90733950], [22577508, 38249949], [22189003, 88998346], [83845588, 55340739], [56260067, 76333697], [63442117, 83531382], [20746338, 46756112], [38477624, 82722672], [60928770, 52078341], [79025323, 70958609], [65635536, 57057308], [59579726, 50140990], [22192655, 86866862], [71950145, 10714741], [87202315, 27692011], [93769488, 64922455], [86007039, 48242145], [5277255, 92665751], [94094677, 54849218], [67160022, 81579483], [96757325, 45487349], [92435874, 11317924], [25037001, 2960535], [48182709, 18820201], [19638889, 4430059], [98343744, 54958888], [33714619, 42346424], [22099169, 95266645], [78033928, 65614793], [51510377, 50284114], [74714680, 93637751], [2566670, 89767684], [74537101, 37189103], [13745019, 43143705], [43377541, 41261557], [88603053, 43137542], [75268151, 86732608], [53745828, 6200339], [74157291, 14731247], [57813900, 576221], [40412024, 33540753], [48254339, 90977087], [17203661, 36907497], [2520432, 83882546], [20830871, 81951875], [97103664, 49499177], [73508157, 5849134], [1897226, 93005909], [30882441, 48742896], [74186954, 60040223], [30198285, 73288454], [88842985, 83576192], [18481797, 56567597], [84268497, 83290302], [69891057, 60595904], [77162567, 37130354], [67016842, 48790767], [499262, 26027597], [81054419, 93077471], [52537300, 88538081], [56964425, 5137208], [25379663, 88106928], [71685939, 16478647], [84810657, 66928904], [56809324, 87757558], [93114993, 56615904], [95308906, 89933483], [71792148, 96718307], [60770162, 46120543], [82655048, 86130868], [74203187, 80896621], [43030704, 77272671], [27639676, 68937986], [36457571, 49130796], [10212524, 75801838], [74614215, 49695669], [56761077, 4365537], [52994673, 64782345], [81454495, 576712], [18462950, 91518158], [15562489, 14719512], [18668740, 75666760], [95186598, 44404472], [95558128, 25087951], [78028458, 71978859], [41280786, 21281151], [91493412, 12730303], [22397488, 25418738], [47431444, 60347532], [14954628, 94330825], [76029514, 47007732], [83449788, 94439073], [51976328, 40901396], [95530882, 93431774], [84182880, 29463393], [19440650, 30852403], [38016872, 8116008], [58106433, 97826685], [93330794, 49877167], [17367281, 78061848], [76020486, 32065282], [43026560, 11859311], [73868722, 25430996], [77528450, 55687381], [41816195, 80687297], [83315894, 64045651], [63102527, 71355987], [66795330, 54095776], [11825257, 5177887], [54446810, 312622], [8713361, 49224670], [25018246, 350668], [73717991, 46807671], [98422747, 42115537], [19358996, 67756030], [48307243, 99875592], [11270318, 35389638], [47770442, 41111368], [98706464, 20401928], [26518998, 8331211], [48167651, 86605000], [94237751, 97411700], [5461571, 82311340], [4288873, 48810524], [86043055, 3640052], [82953941, 92444814], [84387762, 72610959], [60002862, 66008036], [87009767, 67997873], [5910249, 76095390], [68438787, 12177141], [38492707, 27695823], [56543906, 62262821], [48443437, 61382069], [36727166, 85067663], [70558487, 84069672], [8046252, 12194967], [4930512, 75798426], [96880810, 46103275], [53038233, 69743153], [91414389, 13060796], [91789261, 55612621], [11629615, 19243400], [16636595, 51252289], [35263978, 16420158], [37138926, 41008306], [19976179, 37323321], [26913972, 87017868], [89069016, 93351347], [79691880, 15139653], [20318741, 69714024], [35063069, 97489940], [3568908, 84909844], [64424868, 80553384], [12231308, 97415379], [73412056, 34630914], [94286234, 73504462], [35151267, 99352034], [89133346, 28796816], [27371363, 55560911], [71978586, 25286674], [89974914, 93246479], [82536312, 91035083], [87930781, 42344855], [85559364, 5307499], [77548186, 7523635], [71132710, 56309991], [32739334, 26313336], [51959551, 86081432], [92998646, 24803086], [33663582, 10637670], [34642594, 23911712], [91303726, 48917877], [51769418, 96566459], [97422899, 53799303], [59884009, 87175701], [51096155, 44124647], [54499568, 19033366], [29818719, 97733498], [84763721, 26932662], [16576829, 83954842], [36926178, 20279955], [38368391, 77397173], [55908989, 55650999], [11797729, 2063991], [44124726, 62294174], [43569914, 68771085], [96456065, 49976495], [22455757, 37397530], [95227699, 30783661], [15533634, 74151446], [17646416, 97215938], [64750098, 16888689], [15532591, 66250235], [53579351, 2073413], [9788815, 29165298], [1097940, 680403], [92362532, 86518125], [32097137, 70224651], [13334642, 70066417], [5249368, 32108928], [98458983, 87292382], [45194838, 6354246], [41754709, 66112448], [18749359, 52624860], [42900237, 73535485], [18622719, 32176858], [82776392, 25406229], [54502047, 15079229], [84343795, 19163587], [6177342, 858342], [90619433, 94196538], [42619443, 65324377], [60333742, 55925521], [88936895, 35716020], [40133569, 6949801], [83166794, 98092671], [19704087, 89460022], [33350034, 76728053], [81184618, 73286716], [83863181, 61221734], [87317497, 83981371], [5272206, 94103654], [17124288, 94922941], [53931910, 39909033], [25145903, 52325376], [77790650, 22492685], [9660292, 56724669], [763309, 99062922], [68521980, 27922518], [76194912, 14264034], [89968816, 22071914], [81623534, 82432721], [51763576, 4561504], [34009342, 28236266], [97217386, 14074782], [5897121, 42852998], [44117898, 82924175], [62079632, 64047430], [19429516, 70549307], [39296679, 75699837], [59595873, 47830300], [67479015, 84027039], [70620620, 8069084], [22563740, 10574511], [41469454, 47659758], [42283676, 59300128], [73484348, 29947525], [59817973, 45692435], [97313292, 2639772], [34839825, 1788954], [29377007, 18581426], [27321755, 56928500], [38475302, 27337803], [3221598, 71327241], [28388311, 92519743], [79783175, 50078959], [66640173, 79651724], [79670975, 83102493], [99748619, 78712264], [85528980, 87584290], [74704214, 42100443], [55341363, 29312479], [76418615, 43097276], [55430799, 68493326], [79879158, 10710515], [97661705, 61840617], [60066693, 1151395], [64938781, 9913747], [38571007, 206369], [99166308, 89857068], [72058379, 1371264], [93663562, 35548118], [35048478, 89024939], [53378424, 31358417], [27107459, 3856537], [64001751, 47816820], [93070211, 10363356], [14990998, 73996132], [79575166, 45391767], [14908487, 91240988], [53186492, 86563251], [55098018, 91553321], [10923895, 87452717], [75814742, 50020840], [49345443, 98005377], [85742126, 13452443], [45241982, 66129524], [41896645, 64368282], [10694551, 33794218], [62368259, 70524935], [88484046, 52319921], [42870731, 7180203], [60905187, 99533875], [85787712, 60345208], [5468923, 85572672], [37301780, 13839684], [20541654, 4337988], [43810695, 53158419], [11049077, 44038580], [86795063, 35692612], [47373217, 70590510], [50861747, 86774921], [1670918, 95236598], [37255380, 62638338], [27302782, 75429635], [48253754, 16840563], [32549991, 63690902], [74153510, 35346660], [89954804, 49325041], [4792723, 50958377], [88108626, 86519984], [80894393, 81770502], [67120432, 8992067], [11341293, 49881160], [40580046, 23192549], [1899478, 44925240], [95758863, 1024892], [50245838, 39585624], [54526387, 55058124], [37658443, 99738807], [83588764, 16735527], [96376825, 27919878], [44400825, 82590894], [47792831, 79757668], [25187314, 54772254], [5198159, 63774974], [58191534, 6591761], [89003507, 42103762], [62766499, 79038978], [6247905, 1399743], [85310768, 18132644], [96255901, 79378250], [92680172, 28990609], [42367851, 47596698], [34167469, 57101897], [62547028, 39080835], [78187948, 53917711], [5457464, 89175020], [38757002, 3328223], [92174629, 45789612], [50075903, 38283266], [18725925, 74898509], [63899687, 57945988], [25015726, 67911580], [69090005, 27137509], [2812450, 94444318], [52835748, 25977669], [98068860, 59999967], [71791520, 28052723], [56781301, 99217559], [97225422, 5425299], [60548530, 63409838], [17964500, 407332], [80050928, 33065203], [80691640, 92452139], [55674981, 67799247], [63240957, 97087257], [16232496, 43492710], [73533570, 24411160], [8315113, 88734244], [96152177, 66323035], [50555873, 71210272], [97089982, 60166526], [85814654, 8865437], [64922598, 4066078], [77888612, 67763355], [9788422, 53457015], [6907929, 23901600], [18203821, 54143708], [12660508, 6504374], [92804133, 39992706], [25895258, 86037056], [75261594, 94254351], [78931379, 43826763], [9811300, 82900547], [49230184, 42302643], [42811615, 13951424], [34265640, 74687390], [48020393, 27363919], [80729406, 92507148], [70840006, 93963272], [57846429, 27245912], [90830598, 44248154], [51460819, 17735404], [13240271, 82372844], [14181056, 52515657], [1035753, 53838310], [16155882, 65963909], [22583732, 96997749], [47674767, 28670916], [73964483, 94546618], [16413040, 69380893], [49033755, 6789715], [89784853, 70891171], [63514377, 89581203], [93611643, 11977521], [13576206, 3417952], [11231426, 20806773], [90679145, 12859615], [79364047, 70733512], [69059080, 55198423], [69213198, 65725428], [40741293, 78493342], [69023962, 66346237], [62451801, 1058953], [1216273, 17209687], [52401409, 13396760], [68965246, 27587351], [14952040, 38189418], [74193448, 216748], [81405946, 86527843], [28808056, 4416820], [60536917, 26967310], [33848852, 26625288], [28562081, 17068217], [57246464, 88937708], [11917293, 30176855], [52180405, 20073195], [20697740, 3797272], [54764194, 10098378], [42038995, 97710769], [9713720, 85513004], [7852377, 66127933], [86543218, 20164899], [1509687, 73365938], [65261601, 97169356], [67561857, 87730518], [96274959, 66729488], [30653568, 72033303], [8346959, 27783126], [92794638, 20204679], [2527346, 69382143], [83010205, 83314011], [65615249, 97695113], [47669777, 8275549], [98818583, 17194161], [63160529, 16845437], [75386864, 24222298], [31342882, 13396253], [6991984, 65477093], [83289741, 23301029], [64933214, 19679986], [32616897, 73183359], [95121058, 49179639], [43792861, 58996730], [53855200, 85783331], [28671925, 71068489], [84596732, 98467065], [91899165, 70148049], [67408553, 38702919], [4910151, 120880], [398999, 53376189], [19856487, 73218890], [90930038, 7932148], [50664157, 20904746], [19872894, 94918734], [681696, 45328028], [14589176, 26406469], [76177072, 73788908], [26947355, 70849150], [44911040, 78773255], [36925548, 45486004], [14128981, 87390567], [4120092, 34691767], [66195263, 1122501], [75154912, 23081343], [5330898, 55669582], [87227454, 13699144], [279873, 62717588], [146249, 35799386], [91074, 75528514], [39774240, 17283139], [31675979, 11809138], [23484858, 46601866], [74935657, 86211317], [5121403, 36517370], [61385787, 67879610], [28680180, 82491279], [83268001, 99755066], [58595911, 64522559], [83469175, 58833876], [35813114, 61783497], [44341323, 62806059], [65308321, 50648684], [26890609, 39014028], [23531139, 43930871], [76765865, 18719246], [78858229, 64617367], [9331841, 40132785], [27761878, 78158169], [64740712, 78864868], [88564799, 60703738], [19484102, 98415397], [14390378, 98652959], [1649356, 31881466], [40091355, 89463589], [1274636, 26747415], [63737436, 12632437], [61935657, 17719280], [78061911, 47207814], [47735012, 30330959], [17103954, 10636570], [6446193, 50076981], [20820645, 94020763], [47696189, 6404984], [92966438, 75474487], [3334430, 35483457], [92259796, 49611310], [33583202, 643312], [69234855, 217553], [248563, 71947942], [69948432, 57501381], [5798777, 86611774], [75369940, 2416029], [85096716, 99044062], [62713784, 78567638], [15182091, 38151718], [50341683, 90194045], [4223928, 62634700], [23280528, 3243343], [18741632, 89433280], [51658851, 24759783], [88462226, 98560245], [31025671, 45507624], [92933510, 93467388], [12557590, 43974105], [24710292, 33491557], [54687451, 85724677], [85451869, 79935236], [39819177, 19439786], [53713715, 34840115], [4632790, 23216720], [84780582, 11516408], [41796571, 66178543], [91046051, 5840647], [47245805, 21371127], [81151777, 50657966], [97230488, 72203819], [69411301, 5688500], [55480161, 90389298], [61776069, 59013434], [97292849, 23242135], [46531088, 87084295], [64024902, 93142523], [36617770, 65850025], [65418073, 26190269], [27922485, 77624535], [12955602, 93398722], [36988002, 60539661], [44707890, 95455584], [46301336, 30432420], [27431309, 71219375], [54787777, 81059960], [1931642, 17074617], [18331306, 63840547], [29409932, 68302618], [56569838, 36033029], [54259202, 86832136], [44852300, 82707482], [65129512, 22591377], [17720817, 27572095], [61767809, 38676966], [45648864, 44886268], [59457149, 78536617], [51375325, 99943910], [30780844, 31413024], [64504660, 95323324], [40757642, 27373414], [348928, 72683745], [47398851, 17233647], [95122603, 21769248], [80083850, 67221623], [12965203, 31774535], [83274694, 79634826], [53030461, 18391009], [46090361, 20925910], [66639951, 10356479], [49876107, 28161572], [41778266, 70066331], [32604441, 34962763], [23158382, 28976852], [14208727, 85492711], [90048129, 1040878], [99325379, 11877505], [84746540, 21641304], [3697662, 44929911], [1706163, 38852666], [34378487, 40120275], [66045011, 16991350], [17918935, 80906751], [22496487, 29146802], [51801795, 90280986], [61180286, 80885163], [10815827, 74586332], [57074874, 9953780], [8898766, 84165613], [16224180, 44556910], [47989591, 44971406], [72730768, 4963874], [28228407, 49964623], [91073780, 98218245], [60491099, 63324259], [137572, 59078973], [38301497, 17923595], [10150819, 54488909], [42869162, 87619094], [28253153, 45578318], [87801920, 98199963], [73263734, 13708148], [84636737, 7971959], [37714391, 37317886], [43546360, 64876518], [6013471, 66737169], [34407252, 70157543], [99722669, 28961344], [80062801, 48227258], [61150769, 40946815], [56306967, 87155431], [98493769, 42755108], [55583488, 32087102], [77756692, 81368905], [87063838, 54366847], [59612535, 55142689], [70567395, 29691973], [10325103, 86691923], [71715930, 45412617], [56353605, 86085758], [97481692, 80166219], [27975474, 47555597], [99744175, 37477327], [62489140, 20749723], [23639594, 59035358], [85692923, 34886426], [12999582, 9788766], [18121469, 19089518], [19980713, 55375773], [19058924, 73746442], [14870282, 71285701], [61345733, 24892271], [88089127, 38066303], [67312454, 8881851], [60570475, 80034872], [75278636, 87984116], [89036949, 82039900], [59218037, 57399979], [91427680, 54594159], [53107992, 39601812], [92650224, 54751582], [52148488, 67762413], [89874520, 43736476], [66219959, 83938984], [43498627, 26488251], [49458215, 37519658], [7337167, 3408960], [37263286, 26305415], [91931189, 79184806], [94049281, 55946977], [65505890, 8550750], [57825081, 21664088], [66863483, 44932204], [3064019, 4996204], [23300665, 63485130], [87737165, 47323901], [14282753, 95286208], [97661189, 1561086], [82796797, 30123831], [20453303, 88832739], [55469652, 34149726], [56833145, 37536865], [45466201, 10479356], [40173866, 37575789], [87955881, 63676916], [51892390, 5521506], [75206651, 94152513], [66521580, 84702293], [82412392, 39391383], [60834301, 71008813], [16917423, 1671454], [11559789, 80722755], [19433478, 2204939], [34968998, 64477782], [11454122, 16158922], [61922567, 9098864], [69900666, 47464546], [12154358, 56996597], [48238472, 89152544], [31275623, 40189372], [45649478, 24536523], [13099233, 88705097], [12135078, 53076176], [72758239, 63636948], [16615984, 45996886], [91416129, 54756], [35992838, 26234685], [3954339, 97935233], [87780192, 74368793], [41062502, 82128531], [4961296, 62864798], [3835550, 24777259], [9746066, 89586605], [31354549, 14469885], [50852778, 62219612], [31811891, 86344447], [93683498, 72852367], [45404621, 5340577], [97043354, 2890072], [50108855, 33458017], [20816570, 35637840], [79796153, 15060348], [18864194, 97319596], [29882939, 14247622], [65434624, 20688153], [60190206, 74849802], [7809301, 5603001], [31403482, 22108161], [16476180, 51944286], [65182592, 73515311], [40861381, 78899442], [83046624, 20462122], [96236248, 15259061], [8385455, 86581405], [89717527, 88203618], [56294482, 65422702], [32734341, 66450537], [69857904, 70689357], [27703657, 36051880], [883509, 81768169], [86622084, 82981317], [84670013, 89068422], [64798509, 80886098], [49173389, 49395712], [982914, 13665456], [61065121, 84973403], [35259291, 68123469], [53084902, 77710705], [89194522, 61324748], [81332822, 98158974], [21651749, 81450465], [40721871, 6894681], [69268652, 19724899], [19215717, 35534188], [13176206, 14219684], [2886538, 42563930], [92228844, 93344992], [79478037, 87348194], [63218600, 1162995], [45312548, 66563724], [70908231, 30603983], [76561548, 2757456], [86861872, 67080265], [92339195, 87814101], [57870381, 60102188], [46162920, 35128358], [86544793, 69801022], [98143062, 14615755], [73919643, 22781040], [66880728, 43664905], [33281577, 47272360], [79009729, 20168367], [63431161, 23385712], [13835536, 10757166], [45895622, 56789063], [10695089, 4037566], [33354834, 84676494], [33902719, 99041540], [81352352, 87152508], [48059068, 16175292], [5296158, 85251968], [73330856, 15024553], [97175750, 419047], [94187238, 48846869], [62049550, 48079029], [802180, 771417], [24600386, 88357600], [38905987, 7376164], [14999877, 28279889], [16070385, 56595628], [88951522, 68361505], [37540415, 44725873], [45847874, 94133278], [66916604, 32047442], [37422744, 64887443], [2725059, 60116265], [32020502, 57139543], [38725538, 22097098], [65396139, 21804620], [43043944, 54921596], [21430804, 88251304], [29919610, 44775620], [26418865, 86469158], [59342221, 40998315], [25414188, 75800945], [11500102, 1838343], [13855497, 64139010], [3633126, 26843679], [1257995, 3259324], [59808878, 51832572], [21943105, 45342802], [24774844, 85852053], [42395391, 40141793], [86625677, 68491236], [13014658, 6129793], [47922597, 70624419], [59740652, 61491392], [4115287, 45896871], [9861780, 10441402], [80694941, 92497201], [30850447, 26800087], [83840988, 11988760], [47311498, 55383594], [99680514, 71373510], [74784362, 97365439], [17458403, 776152], [75316229, 78554905], [22434184, 46447981], [82212459, 43808058], [548188, 30605582], [82001390, 84013456], [54982939, 55168755], [24376605, 41736391], [37310685, 53630671], [11636179, 50407102], [48807372, 29212982], [46078574, 83770746], [94718839, 26837281], [76566480, 71548518], [14527023, 27901456], [17620362, 44863434], [57168708, 67914616], [24893532, 75062051], [4491993, 3989055], [57742220, 49300750], [54825081, 57366898], [49533985, 9836256], [46988698, 96874573], [49949179, 22238728], [80987507, 89094314], [7878968, 11628463], [17955253, 544066], [12629542, 93806020], [98210506, 92486940], [29651083, 9363282], [21422060, 98921929], [41010434, 53204288], [78201784, 47327679], [69256284, 60021125], [34312897, 58810806], [57325021, 28810702], [78791025, 50268255], [99795453, 64293841], [86772857, 94145412], [22664615, 16098654], [15894495, 48284416], [49986853, 60702035], [44450057, 36899606], [5802234, 99922210], [22691276, 92260547], [95497681, 79917426], [80611767, 92448188], [15800275, 79664385], [23967379, 95177452], [67614316, 52870469], [76969911, 86287677], [72991071, 53713676], [71467041, 78929867], [11523047, 26445611], [33745173, 13653802], [86590105, 70468763], [38806909, 28158515], [76339826, 37229217], [10825556, 73272670], [98094160, 82809744], [85251010, 9669055], [50043785, 4066389], [83999301, 21812515], [12939765, 73880237], [57214357, 69241068], [33247226, 34669836], [13252373, 63869810], [76925030, 66229791], [96849231, 20882912], [8122384, 79662045], [6868602, 5397373], [80718815, 87479964], [56215883, 24531263], [19621605, 51186921], [90144326, 32811027], [83697591, 71536654], [2827656, 21270684], [51622342, 25364415], [60127081, 94412172], [80798164, 44075125], [29534282, 30220061], [75210804, 64899748], [27078715, 60707444], [92275385, 54853338], [84907633, 57111130], [13094552, 31018498], [30441077, 1392819], [25252876, 65051960], [93180103, 96013759], [9801215, 31235096], [8772097, 80923759], [65322459, 8017679], [11425933, 65234650], [46190734, 77687228], [39638135, 18371242], [65719934, 47414006], [77982962, 9045723], [96942349, 76401319], [60825046, 5836215], [23518986, 88290061], [42403389, 98549372], [80408795, 12892910], [12465164, 24236265], [14956674, 58968414], [85803139, 30026905], [69090257, 45081084], [79270311, 5171692], [36210825, 92242966], [66659914, 53254277], [28270469, 52370848], [62644170, 35130937], [55351936, 33995330], [88939344, 95295527], [78079047, 57168509], [14489675, 57794122], [69336997, 44034270], [92086127, 31031779], [7655541, 8412425], [3552357, 5295241], [41050768, 21293645], [53769186, 46723593], [96021698, 25015312], [35338649, 45334688], [37958669, 82819346], [63563320, 6091273], [50583885, 63424155], [19218121, 88311421], [58336864, 27987809], [49202914, 7477416], [27683925, 3922957], [84476928, 28649936], [2914784, 2122628], [84659086, 33927593], [18842434, 27476951], [76127976, 75313398], [75884131, 94557883], [52259659, 17233496], [18367993, 95243382], [76384966, 23174577], [9510247, 55969698], [82644540, 10601118], [63527175, 20970653], [37425517, 82654048], [72185000, 8471452], [57637188, 73749079], [59915012, 29091631], [48710259, 72259912], [56234583, 43691857], [77184029, 7856158], [81267812, 16469034], [27220416, 26733644], [60103598, 31821993], [41990255, 50552374], [63087032, 82616685], [84645762, 35212277], [97837339, 99395233], [28662677, 63793708], [77603240, 72262022], [34989372, 5262970], [14925435, 76587179], [26914481, 26105670], [2330288, 64366974], [42827183, 22692261], [71891242, 37843184], [37773715, 64173364], [92272928, 70137762], [76513653, 68473852], [44839785, 15406674], [67867817, 23374174], [2000558, 20521724], [74037968, 32397505], [56827028, 67825047], [18915146, 57465308], [46328900, 1983620], [51964682, 58359279], [67802350, 87119487], [98481430, 62841637], [36623682, 66468577], [91729070, 9806960], [6398366, 78991310], [93613216, 52604096], [79291977, 70916461], [26149966, 22872670], [67159297, 53243889], [38389070, 37110032], [87524574, 38105593], [58101191, 69032982], [27198259, 47348611], [90914356, 19483876], [5528264, 42861194], [27574029, 28813186], [27757182, 46334749], [88828392, 51756217], [73310016, 13059653], [94795190, 28213148], [22088539, 7840788], [54863999, 67595244], [11825680, 97986556], [25924996, 9790553], [980040, 95461085], [76164770, 91248343], [43272503, 35354188], [18867007, 10656119], [89618878, 68822367], [21131535, 69240581], [78038653, 27362682], [51714963, 94916085], [89214096, 40970464], [38379100, 21267952], [55359732, 36422819], [88237937, 11895001], [28352365, 93874263], [41478804, 44461803], [6474009, 25874072], [61669069, 87503464], [59311011, 24025766], [48515149, 68846669], [23778445, 20878253], [81300776, 40256781], [8028849, 57030966], [62185431, 56579978], [43308830, 16617226], [56250324, 51395040], [83075440, 87549875], [15881887, 10934362], [39621460, 23976931], [39131574, 6363086], [88914590, 51946830], [50019033, 81064871], [39049171, 54751242], [70058720, 73756204], [4212167, 33776523], [94341527, 7171533], [88610906, 57943706], [9764021, 20314175], [64243379, 89641559], [53911867, 79795238], [55554236, 25207328], [44697157, 16796863], [33860452, 63480616], [37235598, 77071522], [79580560, 80665420], [98588004, 41775857], [22345835, 76732318], [96239393, 46558064], [42010155, 65432282], [80725519, 94644509], [69670753, 91057964], [20973469, 35292361], [53100279, 25349004], [81531920, 37330914], [99355436, 96973978], [16607910, 37339031], [5671188, 27671507], [61793693, 42035664], [48837176, 15370591], [78221957, 62381701], [53069416, 87335770], [18522521, 70554973], [41324570, 24990854], [27153246, 37112518], [69080679, 33791954], [99203739, 55313440], [94095163, 84976362], [72943941, 49666890], [52174333, 86143151], [88893468, 89922961], [50192952, 83254904], [10411112, 3589861], [93612683, 72292050], [59606435, 72465952], [84990782, 3542574], [19402218, 5862636], [39843271, 65173976], [54864865, 67868407], [33069710, 81472976], [40963239, 45643993], [41679313, 24184395], [28104321, 99890529], [39561767, 73872011], [46250612, 11145121], [67692104, 91420672], [8683039, 96174241], [54308213, 52582973], [44796053, 64389638], [17380525, 84443946], [49759408, 7232885], [6966549, 26666856], [53498035, 70440402], [37190612, 36834731], [30681083, 9373772], [82823074, 42292918], [28431754, 90190123], [90566719, 6329689], [21994934, 95202312], [9217346, 87560892], [34982650, 81747209], [48847340, 51984709], [72670145, 71517187], [62516202, 3358383], [70504840, 14397083], [73084951, 10951977], [13166048, 55780533], [2089494, 11498758], [32670825, 92177905], [23080773, 19808875], [55916624, 96044988], [35455981, 88173689], [57795724, 36624637], [14628943, 48221061], [36139346, 10248011], [4207115, 29279045], [46515129, 7246194], [63990499, 41055990], [52204272, 35535875], [51319082, 97816221], [2405051, 78495135], [90332331, 62280203], [7439126, 13880934], [11093379, 80846680], [12530077, 43804804], [73936629, 90367734], [69247508, 76619450], [82013916, 82507949], [92583666, 37075010], [50862089, 57519660], [64194614, 9507667], [44091557, 48607815], [16663637, 19628990], [78951704, 38873488], [19384056, 97893908], [38261058, 40059700], [47331221, 85131289], [65765408, 59400014], [95390085, 33576903], [42715174, 71527507], [26529673, 44845865], [69534919, 53168451], [85042768, 79372758], [75362738, 40344890], [78338223, 66325894], [17347982, 58365566], [20247221, 12827353], [22023945, 69710711], [31160375, 95837875], [75400598, 88858332], [66332735, 43616716], [94032502, 70348879], [55048295, 67237356], [75423706, 97721011], [16711078, 13108263], [26998217, 89525098], [61543129, 76612048], [92066468, 38724575], [16650752, 86273960], [10457598, 90378460], [5103661, 35744301], [8206780, 68991898], [24975360, 97729274], [40891576, 45294755], [80504205, 87287203], [16373755, 75854343], [30491598, 97633588], [33578441, 39300051], [36882694, 76868593], [28564189, 46787632], [32365011, 66935094], [14748081, 34819012], [4205293, 87418595], [35586608, 13497946], [82507356, 5446599], [6993974, 8329945], [40594808, 73020275], [91724749, 39909250], [99923878, 55073543], [66954811, 5555835], [41301815, 50261006], [20729807, 90225891], [96547261, 76888145], [85669763, 33548126], [32850022, 40052923], [57774988, 66459808], [88994546, 71355032], [85542991, 54146992], [41179746, 34498546], [56835929, 98093561], [72894110, 73431475], [81097524, 6325129], [38379009, 8843867], [97477590, 64120982], [43154036, 3055091], [18903938, 54932493], [35995044, 66340472], [83662385, 80975571], [47143042, 94293856], [83478957, 68205858], [53409953, 79498683], [43855439, 52716930], [58812868, 7480317], [95907752, 50841917], [14678750, 31119803], [55912146, 71308104], [73477844, 54846437], [42837327, 54701007], [1674285, 69346252], [34339330, 54716661], [52908574, 69599879], [55417102, 37277428], [13045123, 73717309], [75643530, 38518951], [51585431, 85076872], [89064924, 48336598], [17251946, 94290768], [1719394, 95321087], [63141362, 43002735], [27719703, 72195257], [76558345, 64556153], [45567507, 68438844], [73749881, 98239198], [74388330, 52120542], [36142187, 5643802], [22319159, 7186876], [70581229, 79065306], [57317947, 12809178], [15954508, 27714796], [2300553, 9916553], [8530094, 88689849], [55990789, 89479206], [4999753, 61721485], [29393813, 25742902], [97573385, 84955926], [95259853, 25266081], [24073298, 74190555], [85424579, 79515288], [79749348, 30451973], [92223412, 62059715], [89567769, 47104523], [50759294, 4923846], [81804174, 70972473], [23756699, 54123535], [13503995, 46860294], [42286623, 89546569], [13177928, 71504543], [1835297, 86938084], [83696724, 84307431], [48303327, 6596238], [5481546, 15338689], [97231402, 48954834], [6270279, 69236385], [75039071, 9476915], [76344796, 35418568], [49559069, 63362509], [55155435, 96901331], [93153533, 86181271], [57922948, 1172121], [7156638, 89276349], [11070936, 58655341], [97887427, 78471360], [99177957, 85820973], [49891776, 3680403], [30778257, 50100781], [56285498, 30883449], [11323952, 21088784], [77585661, 71792877], [79018767, 19773739], [6284314, 1919051], [76105048, 25516800], [5226322, 9011690], [21421409, 16799419], [38919720, 28018320], [55512127, 5111681], [86079684, 22524691], [75193718, 87036052], [68906802, 88085976], [50439886, 84314826], [2489742, 7477498], [28482203, 26467898], [680267, 59409896], [70750283, 23638575], [83152320, 28132909], [44369045, 98257865], [4680379, 72063720], [57504427, 20898763], [62515778, 54599318], [38624879, 63352552], [15255287, 54792664], [88978302, 4235203], [38072827, 86646552], [33681287, 57748553], [90599216, 15929092], [11789637, 39738255], [13726299, 76041225], [19859312, 94933170], [89351144, 80904698], [42094859, 33289534], [77074876, 94534970], [75331159, 54317887], [93810097, 45815449], [43894654, 98833245], [3638529, 31806527], [74000911, 46360535], [56458269, 10413139], [78686203, 67113623], [4479937, 84542942], [28428257, 55474468], [80477207, 97866431], [32935616, 60887235], [18908122, 29622880], [15816047, 374511], [43854541, 71639118], [83296181, 79543588], [27127124, 27600647], [35793396, 90223896], [94319148, 67511126], [15049228, 6449791], [46003576, 2491209], [19362754, 37727604], [99111318, 88897203], [5769799, 60622542], [23312379, 92109382], [65880956, 48537444], [82486988, 87261579], [19452125, 25238427], [33798213, 94687584], [72902320, 28496110], [56359313, 40601393], [82519570, 86509773], [16961574, 72206243], [82693966, 18937516], [97210983, 54285536], [40168714, 52675506], [72023325, 55855191], [90454594, 9238409], [73005694, 47276787], [86987522, 74521301], [27675479, 18635589], [22032261, 26059995], [9088223, 55876449], [86397876, 71744643], [49738121, 15353307], [15107047, 74993501], [34229265, 17894011], [24988149, 11813519], [30592125, 47815973], [55533392, 83727209], [17911282, 1986683], [5646674, 6866158], [14391228, 66896091], [87493063, 18540326], [6900664, 63584250], [86847605, 67685663], [35598627, 36286854], [98850621, 47001524], [25683548, 94522860], [14261325, 12298967], [32860995, 1095760], [10491014, 99600132], [48237514, 19987546], [63764596, 86963826], [13779589, 72378978], [90306766, 34231502], [11449740, 69620913], [66343140, 88702952], [38380517, 2066437], [60086254, 88817849], [57502827, 3835941], [23920798, 9676969], [25783132, 18140718], [14065520, 61482209], [23027018, 80996382], [11444356, 43370703], [3162280, 71162341], [21006090, 16865878], [48677204, 42307684], [72384967, 18762141], [23434570, 58243644], [66707328, 83015173], [376482, 52243569], [12912762, 73397229], [53393451, 35001800], [64853195, 74994168], [46160001, 92566051], [14509647, 56047887], [69863086, 12086105], [67456560, 40274647], [69671653, 42138206], [44570531, 18801035], [45700386, 30323307], [61523200, 51163062], [5158109, 51707662], [13392040, 93889278], [91098399, 78657946], [48731031, 69500557], [67437346, 74167615], [66339391, 13845576], [80977481, 86415734], [70010594, 94468266], [79863599, 23542824], [40128684, 26938314], [87857409, 76291833], [6320919, 79700311], [39439703, 10606682], [25982227, 3302193], [39907249, 68414197], [98717935, 48234605], [72449503, 20238082], [89611852, 35227074], [8811084, 3612541], [55996288, 65683603], [57006826, 77909438], [82719169, 20186371], [32177066, 60010412], [36132596, 7686734], [70763288, 14617110], [98423140, 7222433], [50823911, 53856947], [28015499, 39574647], [98647594, 72991164], [69951845, 12558215], [2762164, 8017823], [77061355, 37497155], [20104807, 89272069], [41809725, 56763207], [75882193, 34754577], [23434853, 40859542], [26672109, 9674177], [67627812, 11528800], [84206069, 52347660], [31285430, 77919137], [72352400, 87476268], [41362430, 73014519], [49870685, 53059008], [1119995, 12772933], [34490159, 49015581], [83226148, 67694187], [82026041, 65650380], [51198794, 10394799], [90585412, 59354094], [70778530, 89090810], [24366445, 13345491], [33320178, 40650937], [48783823, 2066870], [60763928, 43585628], [11755768, 4090351], [73208764, 82199509], [13601613, 20025712], [68014384, 44952694], [19356953, 35726571], [91411364, 9669603], [72062325, 54520687], [20473142, 68633162], [90201630, 96957970], [2887977, 67904098], [36565804, 9765517], [14102990, 6554287], [88555891, 78013778], [47803137, 76160246], [90104718, 69660291], [68542643, 45938626], [63701225, 64593392], [42036913, 13381091], [20917076, 30819063], [55864847, 94130625], [41630495, 98914825], [12684196, 33150807], [26992395, 80935991], [19107934, 50257071], [35262577, 72093898], [11611103, 34015325], [14423976, 16707584], [95262159, 40448617], [74950991, 62487671], [44199481, 20793343], [3363520, 14536105], [61005180, 32969840], [70130522, 17019502], [69708263, 51589163], [44347098, 69942244], [32851894, 82401507], [86516462, 19084804], [91259636, 32171010], [13397834, 74751777], [85043700, 39453104], [57920559, 78006179], [8480245, 1160427], [60884120, 2126133], [41322383, 72036313], [87752353, 79586337], [72333940, 54358491], [79841696, 61904845], [4321578, 44573270], [48846855, 55215373], [27924231, 49648088], [46894336, 60258300], [15451325, 17852210], [14302733, 38080964], [17231664, 77017623], [141185, 98289274], [6179850, 47608350], [72010993, 8828796], [61823674, 6340926], [90466167, 95312186], [81217580, 1779204], [50853330, 18538222], [89550804, 77768196], [39948724, 48681463], [36100685, 79229959], [10956342, 65802369], [15987054, 56525234], [71920793, 97798938], [24681857, 38089880], [34669410, 85155980], [48125389, 10003318], [39599862, 6850928], [50676987, 90745754], [47646631, 48706440], [7554368, 60023165], [80577612, 58959254], [45317981, 77829039], [76253977, 46635837], [25910043, 99719402], [50694763, 1231300], [50514116, 57752384], [23447837, 6018562], [66108824, 70192681], [10119331, 23642743], [30408267, 24621655], [24287726, 91779080], [81648214, 82359462], [18352329, 42930749], [5878757, 23988639], [94798361, 40804305], [70286853, 57483330], [48947790, 86709449], [69486778, 28230191], [17227172, 29458270], [88680425, 17634744], [94645029, 16364303], [73921305, 49942169], [65569633, 30962022], [8820885, 26825184], [69693862, 51373800], [76739341, 56351841], [4923311, 22235529], [42823810, 2153711], [44942744, 94520988], [55146912, 75948823], [28061830, 6004207], [8472941, 97868334], [27889136, 78642027], [57776679, 7097255], [84465463, 7027215], [1523124, 13181524], [22300091, 61470158], [16870579, 25255456], [93356159, 34113370], [5451828, 33516103], [7133845, 30468030], [38834670, 41189582], [61993939, 67261069], [2605925, 38922688], [52963955, 66930279], [36210580, 86031245], [86084213, 75034163], [73552882, 37620270], [26451585, 55942552], [46431418, 94271324], [37026175, 98151707], [95864018, 71923803], [47604067, 79653172], [19801946, 81965706], [19331272, 94615692], [82269292, 85555918], [48919805, 76819809], [64875350, 88312686], [93669536, 56805511], [10022923, 112137], [28288957, 24918762], [36658612, 25133374], [88739976, 92664135], [32724673, 8595015], [6614025, 35972471], [86133676, 84472589], [88466941, 16117476], [22996824, 45656197], [69660402, 12853465], [52006012, 8531140], [21844627, 62634984], [22790481, 1345861], [4721149, 30682590], [17108618, 20783131], [40780211, 89079755], [80325793, 90983600], [76498562, 61216609], [17099644, 58554307], [53977866, 64294002], [45745407, 87015201], [94272071, 57503473], [45476902, 3107767], [98350783, 75158634], [35684870, 74010861], [73948562, 31348929], [15477151, 73260561], [76407687, 51511652], [29785663, 88545221], [65268829, 4069754], [47197616, 3974606], [82952980, 44856921], [54025512, 11056700], [71147935, 44447331], [36414238, 95630756], [18732938, 41301619], [74767186, 66238048], [84617271, 30703831], [82075834, 56295809], [6926342, 47760662], [15952122, 55639289], [50399407, 83723001], [75345142, 59383752], [2260365, 5057032], [92711651, 71178520], [17627093, 93969704], [22051851, 50168550], [10221462, 59097312], [41862916, 29780677], [11226009, 56190184], [74717438, 72058398], [31191173, 82558906], [26157031, 1630715], [65057040, 49309573], [37202038, 59674718], [78172106, 51308374], [18959646, 38575710], [7786515, 27927048], [14459484, 96239593], [88024077, 81621461], [77001549, 12540736], [33787280, 49681349], [32356603, 69898398], [42278862, 51819112], [22840314, 75226222], [83372224, 18240059], [89540622, 81863248], [84828055, 1631966], [9326607, 54567711], [30067454, 2301586], [67459845, 55717988], [32441568, 13405363], [9486714, 96794458], [55090727, 13663722], [42074586, 92896837], [28352181, 16147128], [50923874, 17663629], [87792284, 34900476], [22155521, 98782576], [9372683, 99953085], [1147181, 12764999], [29389579, 33486489], [611458, 30146572], [16593501, 2168768], [61327536, 20470038], [6921287, 86050412], [67221810, 63399989], [76014343, 74750041], [60730729, 29045940], [8187140, 4252409], [12172066, 33467154], [73472288, 26795060], [70255464, 36001169], [39026076, 1659602], [16238770, 85431085], [64523353, 96231618], [57607957, 82457025], [22972111, 11659173], [76948302, 4850181], [76262053, 58895874], [15962632, 7429978], [85956503, 86413039], [49402059, 83100179], [57921151, 88570822], [99295460, 43367999], [99287018, 33032417], [50317048, 49214410], [36241064, 43719772], [88515094, 71794763], [9553228, 95998849], [56098724, 60996531], [63038891, 80252055], [8248158, 14234551], [47159464, 31937224], [1393670, 50136525], [1196366, 84563468], [141876, 76590028], [32396811, 31641866], [36088078, 82505197], [66277020, 51326596], [10547146, 78770152], [69893970, 88784719], [69400605, 85788911], [51756715, 34860054], [33430423, 35663878], [70719124, 71165551], [69515779, 32018150], [76191160, 74555776], [98147154, 39729728], [20918037, 11361027], [99692495, 18438356], [14895532, 95241485], [9688848, 69238332], [33335965, 75071772], [2876365, 6702048], [3756906, 58215801], [82982215, 95099257], [26656004, 19330381], [11981487, 68829635], [82292595, 24990426], [79553407, 2438642], [69574556, 4980905], [90176531, 50390471], [55911811, 46070962], [69286050, 79394362], [59176306, 83216710], [28217037, 19597915], [6709017, 81841550], [62120441, 84219570], [59358756, 48281357], [33666591, 2060657], [89865088, 39188002], [85255204, 95460502], [69485039, 64145581], [60066130, 79093998], [77823270, 5238131], [91530596, 84607408], [16586917, 3175617], [95481458, 47956065], [31480207, 33390173], [45473794, 51132575], [55176250, 41267367], [4077573, 42519974], [66280423, 77690456], [68632732, 9201259], [74875980, 14178234], [38320286, 39713799], [22257369, 68791536], [86412525, 32693548], [89370722, 4535428], [62487495, 58131442], [43916279, 58935397], [37239777, 95660460], [87789731, 92424886], [390003, 54453944], [16488032, 56578776], [3429115, 80154309], [9451282, 98680733], [53538465, 37291847], [21855480, 48845655], [62533129, 2330713], [41427368, 83142929], [57176668, 94267702], [15495871, 65661547], [49143769, 80042546], [46164587, 84460523], [55305222, 7201392], [45176892, 23787886], [34009137, 46363482], [84636570, 55781347], [56203225, 36446840], [77109359, 27406082], [54444973, 15414144], [30841919, 59530528], [76736458, 40732963], [69920526, 85618478], [92442969, 47921493], [65377897, 86523898], [95901513, 88508856], [77029244, 495938], [31609391, 27971119], [96508830, 16340793], [25939074, 90561781], [5320879, 90814968], [11923452, 29073847], [21803950, 13625201], [60764320, 36105905], [52917101, 62979385], [2887423, 1393423], [59742922, 31154852], [34455509, 52758410], [49734749, 49597164], [51510257, 29009146], [50480984, 72116030], [98359948, 75690996], [27297243, 99076983], [26735124, 69172561], [33117722, 10922320], [45175674, 15035556], [38203934, 43704143], [76611755, 44481057], [44834966, 82370054], [21196087, 99809564], [34315156, 72838192], [91794918, 31222210], [28824480, 11500602], [38727373, 96775946], [83166537, 11712775], [66422848, 82995156], [84456497, 21791478], [81865366, 74937923], [25066415, 32926582], [44953231, 47849363], [3358137, 14346120], [98399063, 98430684], [25212830, 6502686], [16780983, 37745858], [96640269, 95326066], [73109031, 80118836], [70114560, 42250976], [37923979, 90917491], [4379991, 72449688], [56740087, 71849771], [78629838, 76939075], [39874261, 57752740], [54437992, 43483192], [13080974, 63978041], [83873629, 69553478], [2477801, 27008350], [39460703, 7605314], [47483580, 54341722], [36273415, 73492761], [73044809, 54384211], [56535044, 86325992], [62380849, 45405227], [85059424, 54915499], [53020036, 56196515], [81188874, 8345807], [95259643, 70750308], [70132301, 18970718], [75675198, 12388354], [9014492, 80674599], [79458941, 71422100], [76478102, 79149514], [97116468, 57724194], [88585667, 88565195], [6366846, 1925881], [86468149, 71459078], [79066844, 78817335], [90106088, 33149794], [1255724, 21615101], [60394073, 7771556], [93209289, 98018311], [34388657, 34976793], [67217386, 81546939], [26670337, 8028312], [2447103, 20241348], [88907566, 86010957], [92316575, 40364134], [55256512, 80591319], [49236300, 28138710], [69161321, 32170384], [16415593, 98996648], [84663325, 77797307], [67264004, 40160017], [28697430, 651236], [95862240, 63184023], [7908756, 34052446], [41306728, 36556324], [27388865, 29115255], [25020337, 65100269], [47936121, 48566233], [92190075, 79424339], [70575303, 16206129], [47505012, 52718056], [5261071, 60388379], [56105344, 44908676], [86105837, 14013498], [97067366, 88658281], [38841087, 980434], [95419524, 37231137], [94587539, 88236575], [51490778, 27123065], [92879009, 83316457], [51406753, 88480146], [18260754, 83831787], [32048387, 78942633], [781992, 77893191], [86805962, 11481313], [54198564, 74220005], [50464251, 41678488], [52938973, 67841609], [36036354, 32824139], [37233453, 90159851], [41778963, 41469888], [67153306, 29418700], [95628798, 15067422], [54300727, 20589177], [99770389, 93146835], [54893272, 59412909], [20689976, 33377690], [86816107, 10087322], [7097937, 81835944], [44761991, 15364340], [43968164, 67029385], [49797617, 33175839], [61142629, 92768244], [79325967, 56878017], [47998558, 49501661], [94801031, 96022137], [74493644, 8942308], [99119001, 31481222], [91473679, 40271175], [79409348, 9700836], [7902962, 38156995], [30487229, 45287704], [98821229, 29563512], [42549779, 6477808], [30787824, 10964554], [96205772, 26625475], [32045829, 64062561], [44131606, 50217705], [97289698, 2445797], [10119231, 75782345], [33334334, 68411045], [64296008, 73270047], [64810192, 79917845], [42959996, 37284377], [97769298, 52352049], [29470719, 76150618], [64548962, 38160691], [85261680, 16863776], [95247967, 1656363], [74723729, 17136806], [92865327, 80815401], [83519269, 35563408], [15013320, 48550127], [79270614, 62675089], [41354081, 70970790], [30911662, 15671083], [33726429, 23916990], [64317480, 21127200], [23429286, 66403893], [59709576, 20010157], [13011057, 80612626], [22165742, 30273604], [52796124, 13781886], [36672619, 6044022], [38619153, 18199645], [28947510, 88499795], [14332214, 93846485], [3356540, 34686833], [12727106, 59835245], [24183570, 49979982], [18496915, 40078506], [10933489, 70169287], [52135580, 89206681], [66137613, 53097157], [80562186, 97754854], [39981313, 89143000], [34586348, 50751975], [39623491, 13710872], [77021557, 49204583], [55217067, 71415427], [15339123, 89440609], [60054962, 35309635], [1175564, 31649785], [33864681, 11319661], [84164520, 21105984], [83194958, 16067683], [88212068, 48517702], [6323508, 8235923], [50012502, 91988838], [22726840, 19909204], [15319298, 4247424], [56748566, 65022100], [44395633, 57988601], [14013519, 9541936], [48360952, 40087294], [76420422, 39037510], [51620479, 74972443], [83175943, 19381354], [23517324, 4592923], [89570097, 79239706], [40382785, 83081283], [56118130, 2626976], [13981713, 76413944], [5775832, 38810997], [39148305, 11283734], [55865075, 52622976], [18074795, 73768658], [42172488, 57127741], [26653053, 18625495], [75305913, 17078150], [81822226, 31675052], [83986616, 23210304], [90093300, 12600662], [75107657, 63424495], [54158859, 40970806], [31852053, 53419684], [90505029, 15927491], [31096557, 56460472], [44052662, 99957200], [8811811, 68609246], [12031278, 27052754], [84724546, 91962491], [83774127, 92871666], [61973767, 55264476], [68213827, 9648703], [50225609, 64125414], [23019025, 35185806], [83984833, 56214068], [50479764, 45181199], [20724361, 35997021], [83062630, 31568962], [38500961, 53645509], [46071763, 75312007], [98731434, 64135558], [14931395, 54937145], [50070938, 74951567], [50942946, 52014790], [23360678, 10272560], [23400431, 40347633], [86110495, 5731290], [75375820, 86484288], [49600605, 74961267], [64860281, 50559306], [99427182, 65269831], [80553138, 6252346], [96433415, 44294780], [26359267, 80569595], [39502619, 66698674], [19588645, 56212362], [48930761, 22426991], [47861361, 74770005], [61046532, 32662596], [15381981, 57953691], [40441655, 22311306], [33204254, 37489007], [99993527, 16318820], [34593382, 96682886], [25654314, 65998423], [68758021, 36504568], [81899711, 19074227], [49946070, 14522806], [61860681, 66601911], [18315352, 38493465], [28872711, 50555152], [10692148, 8185199], [74724006, 94358448], [31735250, 90210291], [17104392, 72594716], [96608891, 13676723], [11733448, 64327613], [12751140, 56522944], [57100042, 20850870], [24150252, 69296094], [6418613, 16136373], [39488774, 84935386], [99428844, 79100372], [61625301, 7023662], [15463866, 75098669], [40572776, 92431560], [7940995, 87156572], [43339340, 8375276], [62066408, 35882345], [32002066, 74041762], [14081432, 44344394], [16662920, 63000094], [14597099, 1393467], [34378984, 20661919], [7383179, 16313055], [64246218, 17813172], [8573303, 34677443], [76529653, 44967077], [84906519, 18715903], [83602948, 72368547], [55462351, 24136583], [98240278, 3848401], [80718596, 52874672], [59582341, 5317982], [22861638, 25203489], [72603249, 65194024], [48796828, 22100187], [97237612, 63917799], [21111179, 76927839], [13735162, 22777439], [20436296, 97838257], [6324683, 64557072], [51336324, 90141204], [6290496, 16938580], [2233793, 40190636], [80879792, 28858191], [23999926, 91054908], [52236399, 82257805], [74864226, 1235298], [20251516, 12713551], [57705745, 95237294], [43540958, 9117321], [98841589, 42878600], [12159940, 11341727], [73969983, 7046303], [81342230, 2197651], [92248209, 59069460], [27895306, 32334068], [86003577, 15471796], [8207381, 78585475], [59519989, 74403162], [26004105, 77745348], [17737866, 22966527], [78484954, 81612547], [9002638, 34707539], [6572616, 64143520], [26319614, 24812563], [8738548, 98666296], [24349088, 10626187], [1462791, 89915437], [88856512, 97135104], [18353442, 16466380], [87199359, 68505290], [57424431, 89234692], [25941904, 962917], [63680612, 62406249], [55268243, 83648035], [96535178, 17577170], [42248662, 53055428], [29505204, 25787295], [78412031, 71558386], [80971294, 44365901], [41430366, 67149359], [42436803, 60317547], [55036272, 67093448], [75230085, 71463137], [79856253, 8975174], [32563851, 75647721], [65046802, 47559685], [2618160, 96296032], [38835386, 82304561], [73922661, 52080812], [50661891, 81310559], [32139840, 59098313], [76861258, 65025198], [74960776, 41689595], [38469565, 11329278], [6389687, 2432588], [32302387, 69136684], [79744512, 13116536], [78161234, 98822295], [37875906, 49634610], [1512511, 48854901], [92158484, 14792901], [624042, 36831753], [28671527, 87543082], [78849343, 62156256], [70688507, 74312413], [14831599, 71956316], [34822657, 42219824], [68672539, 31414188], [23945972, 65115103], [96681812, 55321653], [25347376, 68772646], [58042728, 18256970], [22529040, 7156872], [12451013, 17911939], [38224706, 68700364], [82905150, 92859009], [1206027, 83131607], [61902882, 15955725], [6990098, 90165596], [58412173, 77606356], [39665884, 20631611], [81913630, 65354546], [64920430, 31393133], [14364242, 45430374], [80740719, 64403841], [38114392, 31767109], [7415051, 29070862], [69878045, 60895167], [24213594, 75365187], [74158757, 83486580], [34101888, 97185741], [34404435, 20890179], [7072375, 12915985], [27940391, 82978601], [80582828, 30430826], [20763932, 41144022], [79599839, 7723953], [17535655, 59439491], [64688301, 30943637], [76454508, 97368948], [99270133, 88567027], [33206320, 63088003], [37805842, 20809682], [7484671, 77769399], [77269025, 17951673], [40217197, 88305260], [78939046, 82934233], [45497897, 10884078], [21771728, 40271918], [264291, 30665124], [97234713, 84892467], [45211483, 63338335], [19405313, 11652419], [413222, 42108295], [18912891, 96265639], [72177605, 38969617], [40174771, 96073401], [2540694, 55285537], [28346654, 27072610], [32451375, 36242947], [9744843, 65746038], [56856305, 2187200], [16669175, 60046541], [14091128, 72890392], [15602871, 80921323], [49281900, 5050896], [19447426, 32564942], [34821201, 28676208], [33070887, 39128915], [33527699, 80386989], [86826680, 75026003], [33315679, 57635974], [58919389, 58961601], [5585359, 34052296], [49071745, 96837688], [87621320, 16563754], [18427298, 89114216], [49423409, 32996547], [87207500, 91427438], [20194557, 53787390], [29312892, 94029667], [60159729, 38465843], [38340179, 54522806], [2807821, 92053760], [38838644, 66343869], [64622219, 46847737], [95316716, 43049420], [92223879, 38104756], [55084865, 20252325], [6100777, 22749444], [48172891, 69407575], [24941527, 93966232], [66641623, 61322492], [25036164, 25186578], [5924442, 48320601], [67207608, 57763872], [68578352, 5746133], [88138871, 55262547], [29941677, 10542290], [69078458, 9466283], [69046706, 59693003], [33233842, 23578128], [2569986, 48927780], [27302079, 59369221], [86970967, 29452924], [14202940, 83029993], [77874292, 60888358], [31743574, 89911393], [85280860, 45696815], [36656501, 32048321], [35442670, 10657860], [3351717, 43472021], [47513125, 69912918], [1803925, 51416858], [27167351, 11267242], [53624435, 9843008], [44623550, 70166569], [44868504, 85497159], [77614162, 68148788], [54725584, 39452907], [60865987, 74774039], [54650019, 15499122], [31386620, 70543286], [44458730, 74280127], [30091528, 3696415], [69314767, 1446805], [58428681, 16708396], [82020155, 12134562], [68278522, 18602369], [92834471, 44148606], [78742388, 82931874], [68947608, 59961957], [36647328, 14393732], [59800871, 22306384], [80845479, 17381104], [10195370, 18770374], [99251941, 83633358], [73038764, 84134776], [75242508, 7776998], [2254223, 19795160], [41591121, 93171239], [23069745, 97956815], [72833060, 84992155], [66793656, 41913210], [91044615, 36280142], [95638813, 96288040], [7287694, 3389989], [39811583, 75946004], [9396339, 41947287], [14852342, 28769989], [93001436, 67077914], [65185362, 3592320], [64040954, 43911783], [30895851, 96886322], [38779664, 76447033], [6888890, 15498746], [19296622, 45970210], [96341708, 98215891], [70796039, 43876750], [97224386, 53750278], [25523597, 34864298], [52844841, 5707795], [6630073, 28100320], [79787695, 98841026], [95716039, 12366725], [90217467, 98332568], [1245828, 64809631], [15636695, 74460466], [72958321, 28189643], [39828792, 53902329], [89801990, 64002243], [58158004, 59321786], [93529632, 67341125], [87140843, 31215408], [50698199, 48716920], [78464097, 98010612], [13213284, 94165033], [70742659, 73243224], [79919648, 61570356], [38360444, 9041213], [67771840, 33507213], [46182773, 35256159], [9264352, 13844945], [82754572, 93549197], [25634558, 96099479], [2098244, 53170497], [31417889, 80287563], [26612700, 26867201], [29025841, 47222511], [84629571, 87463208], [88812721, 53885506], [79889953, 59649966], [68774272, 66024946], [46004782, 23400019], [65369916, 92240209], [76641034, 21064154], [59798573, 27516730], [44020848, 34757832], [8163665, 32042376], [48983759, 18465903], [8480759, 92097126], [4557819, 32707076], [32610643, 73436222], [80798621, 9446180], [16497138, 34828997], [1341652, 76074331], [85044313, 72990657], [37967386, 64670922], [63681331, 60270260], [53332080, 71669438], [73106166, 85282269], [1230759, 90706813], [25503061, 88425718], [70085018, 53808053], [37080777, 23688980], [57926927, 25024864], [81629165, 80837307], [5072029, 75657234], [72713333, 75191160], [6602865, 82079504], [89658596, 23876346], [75960061, 89447604], [31775975, 44542330], [82321981, 76148124], [18655121, 90724595], [435886, 96210938], [58771677, 76504559], [94790642, 78167250], [10644814, 20427302], [92302879, 37276835], [91384829, 34572051], [8686794, 7092438], [83095149, 44899592], [46373789, 59047616], [70031690, 79371369], [60220220, 12830321], [27903649, 82609482], [13778210, 98764011], [4818923, 24859383], [49631350, 66623677], [20666013, 59129516], [10923526, 23049962], [46671054, 28517817], [68306745, 91852498], [28867142, 64175376], [69539816, 17963426], [32405375, 47780536], [4188232, 4331851], [89259553, 83564068], [68949828, 79256236], [74590878, 52772134], [41801354, 43055660], [94129279, 37422464], [12470735, 23389555], [6405309, 56978691], [68045774, 99231658], [97406863, 9431847], [49400369, 3335860], [40580908, 54419414], [69891309, 50057524], [57317012, 17447917], [28649075, 21455970], [18952043, 43989049], [54241784, 39325928], [93181789, 78661616], [83676138, 79398194], [13678447, 84241081], [79358801, 77190089], [5349914, 76670578], [11813400, 70198970], [63718878, 36755051], [45252566, 72736044], [40070322, 56560338], [38658839, 28325296], [4708867, 9721565], [12154917, 94289529], [98048170, 28877417], [96257760, 68724803], [80221639, 92079623], [19868873, 84086855], [84251467, 29792210], [62481434, 55290190], [82614011, 75872569], [82894169, 40245957], [52905222, 5155754], [73077115, 9451227], [5264146, 3736961], [23644465, 40330499], [56634749, 1240900], [64023975, 66210515], [95131600, 80243934], [94300178, 61762008], [24596548, 28689834], [50299669, 46204060], [8103798, 89104978], [92538853, 20361668], [46815173, 11622107], [99566856, 2156628], [56546676, 92056011], [82526594, 70166952], [45888710, 27180948], [61727700, 76460710], [92260355, 3551478], [28333115, 27424983], [9279723, 11138086], [60513083, 67183891], [37629854, 74979287], [84817412, 47774677], [4608053, 17052173], [3514795, 21748431], [7502940, 2342004], [75603477, 25293585], [25543359, 40642067], [9608961, 48187336], [96177395, 84691903], [15386897, 26768396], [64786066, 91077032], [75117883, 88814010], [89314872, 8279625], [22042405, 16826804], [8091672, 21266500], [12052537, 79975391], [7429903, 69365088], [78919428, 86532401], [70003586, 78878070], [26247532, 37549814], [69807700, 48079551], [87844444, 9803395], [8690032, 63756451], [86446892, 51746907], [20966464, 52387805], [79479993, 72921291], [40459144, 26353386], [58207150, 77188022], [80661633, 21108442], [83209168, 95432712], [71862921, 71511420], [79176419, 51653], [25729745, 61475684], [21777884, 34158553], [85496920, 257900], [71754290, 32627533], [45758992, 10058446], [71583968, 95805587], [64473775, 54913938], [6899680, 35682832], [58478867, 18597448], [10828543, 72455456], [25686168, 56910629], [76518788, 41037651], [83385534, 36299322], [57928619, 14326834], [8210153, 40413654], [49942519, 23738241], [68532011, 19408246], [18203128, 23464919], [93701319, 52069155], [2960080, 10823342], [65849362, 19523324], [74935130, 55403827], [85596055, 46097774], [91035221, 19980990], [82993648, 60665530], [54971291, 96066078], [51581779, 88472977], [42438979, 50874543], [25061710, 35991869], [38017486, 44363273], [33583493, 63943142], [60628800, 97101221], [10953066, 20759931], [10096292, 42230394], [77927383, 8802620], [23199798, 50110118], [86113684, 85354736], [70778829, 82455687], [31418581, 6321085], [23825670, 96342360], [18630554, 8272078], [4396737, 3799088], [70821153, 88683414], [4873676, 69574330], [67916697, 39836828], [84321766, 22964647], [87242430, 45184474], [98069986, 97140414], [68253053, 17155541], [31903511, 94846075], [95214169, 10036329], [70571865, 33836060], [67764807, 75174814], [6533927, 91079784], [1505083, 83758013], [5305802, 1502739], [49330765, 78324280], [97669462, 51635618], [81615754, 30363394], [28987654, 44885254], [2346551, 89389594], [29549277, 79239486], [15022751, 26159929], [17577665, 55786663], [78031331, 36549497], [22287260, 64610326], [63264441, 53167437], [78697417, 29611514], [44216979, 91042091], [10489409, 74225623], [58038585, 1900529], [65006316, 73810860], [59210514, 68993956], [90466094, 46099386], [81837650, 93600329], [25983708, 90058284], [99740684, 28055492], [38859190, 73277848], [2043253, 86157294], [63324531, 85326615], [65127312, 47346082], [78115831, 97356932], [74698884, 62609535], [54105353, 31700968], [52945544, 64354729], [24425179, 88534887], [51596035, 69130782], [50713347, 18026137], [60855326, 90804184], [32646825, 17100803], [27624648, 89408011], [15842508, 79404061], [24863698, 87289451], [23080388, 30962575], [70464956, 67723225], [39566897, 74511970], [31899978, 80898249], [44257954, 73544636], [53453847, 33933600], [78074001, 33581826], [13237158, 95377177], [42141813, 96907959], [53958864, 84088025], [12473960, 62049318], [73155864, 85863598], [15620632, 24210677], [25171674, 86384186], [1293164, 3066187], [17999804, 1478680], [4652329, 67328732], [32100601, 48952923], [67455092, 17574665], [61234847, 95177326], [37611292, 34156818], [78777060, 9224629], [73477971, 8491700], [80507122, 77823916], [9977378, 50987173], [78308882, 77036890], [3905129, 54974891], [20379156, 78300377], [25172864, 10246721], [63294494, 56964486], [22023386, 27227604], [20138969, 70454083], [98883575, 73109456], [40799365, 11736462], [11855403, 19485672], [59482222, 92761600], [77147568, 23518973], [56411133, 96246732], [74249358, 23334840], [95716138, 11025331], [87090184, 94294628], [47241046, 34370868], [43214912, 9925004], [9468151, 50809591], [97672585, 80112833], [21474833, 94271780], [95216203, 85395968], [53221441, 76496123], [98803790, 71550134], [87409846, 39030532], [25296541, 83729789], [24173124, 23873881], [97374662, 64686910], [49636642, 41887043], [59849109, 1091829], [42828065, 27289692], [61827662, 57975464], [90029135, 37907505], [51612038, 28348883], [74447338, 9112582], [19752737, 48447884], [49347140, 67083857], [63025568, 36171024], [71885925, 44129863], [9203760, 97480778], [8096811, 46289156], [69312616, 45747206], [3595756, 40500717], [98656494, 56190647], [48886018, 19504191], [9118786, 85170179], [50982748, 78759016], [66663169, 98818577], [53246548, 63468381], [16882928, 9425615], [15734286, 69210559], [87826757, 11642317], [74838840, 59945304], [71097197, 41025870], [89310428, 29699747], [93766931, 45412456], [2280644, 19092689], [95756706, 23935420], [72457943, 750592], [92842863, 72480495], [87794115, 56544382], [10930591, 44792195], [56209007, 24483532], [35408127, 87454079], [26750481, 29944680], [43719921, 35451357], [13361050, 79571859], [70573576, 52968192], [98525193, 56967880], [87095492, 97279877], [60954992, 72431585], [36008877, 82013188], [78325352, 89556737], [90371887, 98065367], [55291619, 31909040], [60209696, 51850681], [99391389, 9796785], [12769362, 14482779], [68581019, 1414870], [43750929, 25222534], [11135451, 75798266], [83939830, 72327179], [3778033, 33325308], [60692170, 10728021], [43260993, 4406297], [33367474, 50318470], [42339817, 42021254], [38991621, 18126575], [14593805, 64848898], [2846530, 60268911], [70172647, 9902905], [24282947, 17273308], [14934972, 35445128], [92060748, 18825342], [52313934, 57867033], [54773359, 38404783], [19061315, 31366826], [20970551, 90953478], [72003614, 49330674], [99033083, 86706888], [32002861, 78493268], [9785973, 83927500], [37256333, 88273058], [15416507, 62041418], [95598292, 44969005], [34659427, 4408318], [95107764, 78720931], [35736503, 65382525], [38747725, 41513432], [4806071, 50501779], [82677949, 7262009], [94377789, 18993215], [97468774, 52033115], [42598760, 90872957], [92460364, 55037186], [521036, 39600867], [72537631, 14830097], [34016119, 60995853], [60677053, 22733173], [81599868, 5785602], [2934670, 56615091], [48532074, 40091823], [20335310, 4367479], [71546698, 86338503], [39093759, 25262746], [72051223, 84417218], [1834236, 77483314], [61175995, 28316216], [41523293, 93475029], [94304736, 55813418], [82657340, 98651285], [90269572, 66001678], [136658, 11556425], [27117709, 29308088], [73372069, 94669049], [7320928, 54516310], [35002999, 8650670], [85575000, 79588011], [30299628, 5693748], [97402633, 36172704], [11450018, 55463615], [19415699, 59259237], [26873494, 72327904], [98237761, 11964797], [84557380, 69368668], [54511246, 29263737], [29182648, 99075220], [17675419, 63667539], [20498935, 83364715], [25718499, 47242941], [73631977, 75657700], [48093837, 48293475], [54306513, 5189775], [15830069, 53156912], [46046836, 38967574], [53201382, 78296268], [19530042, 70686596], [20420775, 58219074], [30814766, 52523536], [69824384, 9447228], [88293706, 75399102], [41499040, 46081303], [30133853, 95708998], [22049737, 69975342], [96000081, 1800981], [88957970, 16475788], [43426571, 11220325], [69539757, 2543836], [12439412, 69933840], [12049799, 11068289], [99206294, 26679472], [18432324, 76194350], [4971770, 12214545], [372507, 8929419], [52578283, 43928444], [642336, 59409792], [74346102, 85967429], [26586346, 99076809], [6807510, 875665], [15826568, 91863918], [64853826, 99715602], [57482001, 60835702], [74885114, 36530169], [1532841, 22331196], [6170888, 75256824], [61571229, 2237645], [74060735, 57277384], [2281365, 59563984], [44629633, 4477779], [36726389, 70174154], [13038715, 28922954], [89700889, 65104373], [49043155, 86992494], [50425992, 32118222], [71368253, 78804213], [38042035, 36300673], [89149387, 5081076], [584966, 45540488], [75486133, 6839536], [68474882, 19432627], [20977505, 21695816], [87836245, 30098896], [22297374, 29522985], [74314629, 93162806], [90932902, 24485517], [71749125, 87183998], [45886124, 80762154], [86836222, 20278214], [84954184, 71909093], [95861851, 60451154], [59737114, 43223924], [1918954, 97360179], [24989682, 61717922], [52447551, 9432781], [89382766, 68024371], [95269656, 14126226], [57124389, 57423134], [8427265, 71493636], [86045508, 91155958], [14240890, 4761333], [47401010, 46312539], [56252184, 23032468], [59779144, 44366439], [47696872, 20852833], [3849960, 47122824], [64123388, 59564269], [43797302, 55619548], [57391424, 2938143], [90249085, 18153659], [7401252, 4535777], [62621191, 82660568], [14902400, 12971291], [81330795, 76919748], [29549832, 35754344], [42100254, 73536409], [34670799, 50713374], [46635237, 23826441], [24162006, 8509285], [32418311, 71585011], [16110021, 52051094], [5168308, 98262485], [17587632, 97429760], [37977645, 89587902], [59297214, 22474671], [26031944, 52032083], [15232375, 54848832], [57599765, 86410440], [16320594, 30284176], [32314819, 75095232], [27849707, 48304661], [96151252, 73636508], [11981406, 36250849], [950876, 50533042], [68816321, 76604876], [5155033, 9870209], [1711856, 59717041], [28056622, 33751963], [42182041, 92471513], [42705104, 18222517], [8771898, 66020806], [12170373, 75979964], [1851216, 73698128], [98772950, 4477887], [10889442, 88377524], [65146137, 49988280], [31736310, 10644235], [50812384, 54583160], [60193718, 47800468], [58388741, 54805576], [7288963, 67187991], [30665994, 74667944], [47655045, 2887469], [74012350, 72037813], [22730617, 16435278], [9385872, 76731362], [34298038, 16642409], [13566093, 70657370], [74590982, 9348003], [14076474, 21163684], [47183106, 38627579], [70716035, 92650454], [15322720, 35346280], [25814158, 43530331], [3370385, 27159157], [19645669, 9988236], [84201283, 3594733], [47379469, 7917211], [59284822, 967526], [18135075, 74828113], [7838366, 71313732], [29933792, 34639000], [69480296, 32863350], [13013190, 88563292], [58848903, 36179262], [66932879, 35300667], [48118519, 99226948], [42911895, 99134897], [27541169, 64115997], [30572672, 44828127], [53270940, 68849229], [55823370, 20056672], [78021076, 43839265], [44093977, 12070717], [66740911, 40367112], [11447932, 26679442], [37735492, 51989818], [81307564, 99399551], [90460506, 47901380], [92694754, 26004287], [19159605, 33917454], [98323927, 61118108], [93360522, 905518], [35420276, 99674887], [70748421, 16109251], [78746404, 91561977], [98795268, 52995138], [18397075, 10209589], [53414361, 80237589], [72411606, 72154642], [93400770, 1137259], [42610358, 62791625], [5372942, 33419804], [81234957, 21103955], [52875697, 7485624], [6957879, 66666437], [16955998, 83007076], [48440500, 69369405], [53709944, 87689999], [31790651, 60346242], [90859166, 60323687], [7257318, 4906725], [89427261, 97307482], [66875756, 12617751], [35346684, 68832783], [40729677, 8818131], [61966793, 17109943], [62778400, 58266263], [1014047, 31336548], [25074595, 68493886], [48548873, 85629698], [55474311, 54633701], [65490161, 61626253], [21295530, 40316105], [59630241, 28703314], [45168977, 4798297], [84368953, 2731586], [95657580, 44294503], [11121471, 84628809], [60008688, 3740254], [5426949, 42325100], [73996905, 83770028], [60032773, 47316944], [17722408, 22705388], [80465533, 79058295], [74510099, 30100964], [96407156, 34539085], [76400927, 23322935], [53515789, 7691674], [84507646, 50946218], [24759396, 22263396], [80648187, 73593753], [21370980, 27354868], [47600560, 31199586], [59321328, 5768821], [63916841, 41918463], [5244430, 65799534], [70882538, 45229860], [80279615, 45673058], [90319727, 35574852], [80976985, 63764613], [55462120, 99404950], [17246373, 43918174], [51016701, 72341399], [54225633, 27271099], [99982023, 17571753], [56358638, 1796983], [48916510, 81732560], [10127279, 2091935], [38353077, 4166053], [472511, 4386046], [28255222, 7684865], [25644926, 24455193], [45178939, 83865489], [37738508, 24979627], [10576619, 94993513], [66476429, 4818361], [33568825, 194464], [76788372, 72337191], [42062376, 58136451], [75895178, 92325938], [79498787, 98949969], [6556769, 95789021], [93910922, 57312266], [22178735, 78376679], [97395383, 20273650], [5105224, 28986328], [53642535, 89288582], [32120203, 57048067], [37338749, 14427409], [78945801, 51871116], [61316033, 50123823], [25835136, 59466576], [19131738, 25472708], [68731955, 71807409], [27470071, 94736974], [51380683, 99741120], [80135947, 57593548], [34398396, 81417745], [6197849, 89872443], [26934306, 65509992], [62253064, 40163907], [53476347, 94683715], [12212734, 27905994], [42301774, 22431835], [76670958, 3817865], [30232939, 22201546], [58567564, 90595751], [94370781, 54803092], [43276665, 22931372], [46175818, 48000992], [1978256, 66449437], [81200460, 93426550], [90349085, 43997577], [76279269, 10957919], [60454056, 11205965], [12836481, 85609560], [98058593, 22027667], [33895943, 75821916], [12773256, 85767665], [993168, 63542768], [61632735, 69437472], [89307383, 5489004], [52452662, 2416544], [95917835, 15825542], [41903688, 17428670], [3360166, 8887554], [67587961, 81258509], [79738737, 76502180], [77864476, 76566844], [9522939, 13831796], [59863572, 28843804], [77574364, 89516395], [64772760, 37804959], [73045600, 80088848], [21608301, 30717412], [98126506, 62525868], [86177027, 34063194], [54647008, 80876361], [67688154, 61307792], [68272703, 36810336], [51394510, 68244635], [31217107, 62487464], [53980130, 4606495], [11191203, 38013784], [99853466, 75604791], [36893669, 81403690], [59784169, 52192039], [79614455, 1045293], [32863352, 21155405], [18250289, 32974013], [67844576, 4035763], [18127959, 327006], [69402590, 32154315], [57471197, 5202994], [56319377, 11576084], [36907452, 38223858], [85055912, 2969884], [87374941, 68030378], [32726454, 64576756], [21539700, 19415817], [49474063, 80248923], [12002008, 7459162], [959511, 42957509], [19701010, 5186526], [68595906, 63607903], [8026070, 30431981], [97275318, 42204800], [54971531, 80364010], [67192013, 73808612], [3620448, 53046235], [39252649, 37508644], [52997440, 39812338], [15555592, 83277507], [54251330, 92397557], [75582394, 68354022], [33591032, 89260089], [45195226, 41959518], [11756078, 1382426], [2748461, 62397638], [65900651, 95470627], [4675294, 45615791], [74012978, 83865584], [82955360, 99649720], [4691290, 86978757], [34237455, 49676141], [5325943, 18729466], [2743524, 74775011], [50787786, 10112794], [65226103, 14726989], [90167079, 7809893], [60030848, 6598201], [37220408, 96250294], [19415805, 39761081], [31062012, 18948013], [19002743, 39124713], [40279910, 97785743], [50207567, 57877931], [85467676, 3711999], [83429856, 18575021], [74189790, 45686391], [48823744, 1265064], [34766666, 95439879], [34500427, 86893879], [85312143, 17047581], [6341744, 22237833], [32033311, 80944624], [23141473, 39486944], [58415441, 77459547], [48805, 18776748], [17587879, 3855395], [24105633, 64967294], [3484982, 89061015], [18742081, 39308770], [74712268, 65200155], [52162475, 91587539], [847213, 2251993], [26367361, 13212709], [18999169, 65166251], [19771900, 34503220], [14276742, 51098909], [66213995, 97625295], [34282808, 12165123], [42160748, 67382842], [14809819, 68728185], [40178120, 89662363], [69360732, 32173542], [72115041, 4284736], [83368714, 44591925], [53209931, 27736960], [91105587, 8986184], [17621681, 81572360], [92153475, 4111650], [49967902, 22060764], [27867562, 56988356], [80356579, 24809894], [66598724, 70188259], [575011, 76819516], [18450894, 99842826], [73820375, 10082362], [72480085, 26051671], [40812889, 14187151], [32415080, 48297099], [28152226, 11219448], [49391654, 14472287], [94058710, 19998286], [93313489, 85195075], [37374209, 14732081], [88540297, 976518], [13246904, 57322608], [4962956, 1961398], [91274804, 31002182], [11088035, 2802944], [61513432, 58884840], [20467656, 7165449], [49124144, 637492], [15791793, 28543984], [44847337, 9829973], [85211755, 64278118], [97402108, 49938905], [42554692, 83059459], [97913033, 33533613], [28021387, 98377560], [78862857, 85007329], [84401585, 10787197], [19586903, 33801945], [66923742, 11862710], [62495002, 78326073], [57592741, 81393185], [67242022, 69978937], [48968362, 96516088], [28704952, 72314543], [81177482, 34574593], [70349669, 61872294], [8003198, 43765654], [98910428, 84173554], [61622640, 90133277], [55375904, 21187624], [46873596, 58469378], [83969212, 48700797], [63232424, 43583350], [54993675, 92171106], [73522891, 94741273], [20503658, 31271822], [63923471, 25917689], [47678774, 30264543], [85445824, 39017213], [57782254, 43556223], [67657426, 45820843], [26961475, 91132322], [96078328, 73477521], [54209330, 17406737], [69675206, 79058028], [47241374, 10286510], [68409843, 7132266], [88466946, 99868355], [51859540, 6481008], [96097406, 811776], [7231643, 36266448], [68536575, 55119133], [60381083, 49914966], [85896594, 9148152], [9224902, 26407055], [84003117, 60394026], [62225978, 53007838], [48599004, 56459271], [19984749, 90411570], [76046189, 88027007], [59988983, 71053504], [11890025, 19163902], [85133023, 75591731], [68276344, 53986243], [46835, 7036864], [3783721, 63687195], [26696475, 45814030], [3424653, 9543272], [64462647, 67521537], [38228021, 26700891], [69895545, 9677165], [47181100, 67417914], [23002054, 75415704], [45335727, 89608001], [77741249, 49130752], [35753844, 63557332], [14017390, 73517332], [64499175, 33491216], [31553873, 175202], [20676699, 27228099], [50418310, 55553220], [14524902, 77843020], [70828660, 88976495], [95739786, 54303968], [79375445, 38452171], [9231869, 67888339], [14980492, 76789581], [51145629, 70075323], [53929940, 92634459], [60946991, 66587497], [64381858, 71820014], [35447266, 17165083], [43947716, 23783707], [99873881, 23754107], [80915017, 75953870], [74075879, 69128396], [28115745, 61322373], [24075061, 44188565], [77547802, 59368465], [4471145, 33540516], [35992314, 88298556], [11721877, 36248342], [82510960, 24297196], [15929738, 45777230], [17016915, 74807999], [44880996, 98827650], [56183819, 8597112], [13114580, 34935502], [92751535, 17162048], [5639657, 95831621], [31923581, 72300852], [15598926, 519391], [984023, 15990035], [36472635, 20238370], [64308257, 92629634], [76805649, 41175975], [85352058, 92156589], [45048609, 7920054], [84876446, 10687004], [81731060, 88546394], [31239445, 92301694], [64190472, 95084658], [73400384, 80198774], [50234086, 58805817], [31923063, 31324767], [39930406, 27537598], [44713548, 24732611], [77691431, 22425041], [50601103, 84449610], [11869053, 3093884], [23071596, 25962462], [66911703, 92327525], [51115059, 11401658], [75962755, 64465388], [57407559, 86660071], [44252556, 6723168], [18501868, 32365489], [39346124, 1506582], [90937517, 65001534], [71343529, 28772109], [37559583, 17791926], [67315637, 64778651], [43538436, 14686487], [42236822, 90606665], [28191775, 36168232], [94237117, 67798524], [81801075, 75557584], [18150734, 39297347], [65243233, 30507976], [50298307, 26861965], [37046400, 19053981], [73175819, 16085601], [67740973, 33693795], [20993254, 94843190], [48123086, 74256255], [39494185, 81157516], [35842794, 7887073], [53217310, 30720460], [47858124, 57090615], [85935147, 55953807], [75482344, 64243852], [942226, 59339166], [38929311, 62824765], [13640768, 52268245], [70425696, 23587283], [5152581, 47995857], [82985151, 56135343], [56584521, 23432826], [41758988, 76040919], [70957054, 19967102], [73130547, 71459548], [50346216, 64995601], [63602172, 81776078], [72864998, 94699228], [44726550, 15568829], [75461366, 87516948], [26890295, 26375635], [6829733, 65016456], [65381395, 96275810], [16971512, 36695715], [41923967, 8574395], [65474970, 89132868], [6933080, 68887502], [31862726, 43700270], [14295134, 18671362], [94702668, 98770450], [44823718, 17836676], [80400437, 84433229], [55146092, 58149255], [92516631, 61463060], [41077723, 81626539], [28005779, 64972717], [72802512, 74891399], [48465620, 21090493], [82537670, 56907181], [36022012, 68839368], [67969292, 58064845], [61871116, 13259332], [67763385, 92061279], [78508761, 84402871], [44521004, 41111000], [46205740, 63256713], [24800533, 34394327], [94655224, 91071744], [5918352, 8228389], [86984071, 51646481], [53155156, 98350862], [52883504, 36147091], [93269288, 30923404], [79474618, 42611244], [2619398, 40468745], [65449230, 40293484], [6140231, 68722894], [18187482, 66097024], [17291566, 45766437], [54986465, 44464583], [17281109, 48215168], [38176645, 61743137], [26654518, 50571301], [70980717, 2896541], [23283263, 88759467], [67185938, 77070266], [30370021, 27478233], [58779008, 33628776], [45747543, 21860673], [9516376, 41407482], [88281529, 17931759], [16995548, 58704355], [56169077, 93494486], [70577114, 29109934], [17632452, 82533852], [13316344, 55737776], [32859087, 18852148], [40316738, 66261389], [35343828, 66626263], [22464469, 35597182], [45478058, 32904601], [53841816, 28835280], [24256675, 14668191], [66997396, 61813524], [37450735, 47527251], [50047318, 93869511], [11382602, 59032625], [93781391, 13209850], [82780052, 88224605], [42471058, 13617338], [50474471, 5042359], [66328874, 7867054], [32799893, 98191762], [93302435, 5068907], [25291241, 68042729], [53927935, 74104405], [70245137, 14100714], [51360896, 20848178], [92046375, 24827204], [89395829, 11499332], [16603654, 58341121], [58160283, 89793960], [4542328, 26378213], [71320285, 57851534], [53494869, 43049088], [33124539, 71292622], [63235080, 34665967], [40436662, 46080014], [55778825, 23617910], [37455989, 13204904], [76690077, 74173976], [92594939, 44673032], [89901589, 19564511], [86568929, 69272536], [43819762, 6499248], [39701468, 89552332], [68039848, 5918656], [21214538, 58456514], [73777472, 31820906], [4543905, 66891057], [65859366, 13366630], [9213271, 94299553], [6190454, 91130333], [30552037, 26239389], [31675406, 45302182], [2300329, 93588126], [39684181, 78923870], [17683653, 54309973], [49342208, 18500587], [17388840, 35049926], [88667030, 21941051], [45781082, 44540403], [72027390, 56804221], [73544058, 2223026], [5775448, 99138473], [85314946, 81308585], [95482932, 80951376], [50771591, 34644446], [14295774, 17231108], [69956535, 37374741], [35911762, 6465023], [3088805, 76465174], [29882447, 99144368], [46471278, 88361766], [96248912, 51151530], [89297023, 26539621], [27914071, 18041254], [86754924, 25472022], [97466923, 28536604], [47513285, 22191008], [19561034, 21002195], [37079288, 93463469], [3266815, 54116115], [47782461, 22057497], [86566388, 94709889], [27971662, 82910900], [77261743, 67419433], [81951799, 37553892], [62915188, 2096686], [52259129, 88233172], [23283209, 10158125], [5210923, 96791969], [22130117, 77225498], [14721282, 45427], [40523250, 29114141], [80252452, 44071609], [95063078, 69897158], [58549485, 12440767], [42288190, 20669358], [22784263, 62517825], [74557777, 91917361], [45182403, 45116815], [19269369, 63616469], [35079246, 58729108], [67017755, 60827494], [36197657, 77317057], [71954605, 59409097], [84984900, 34831984], [76664442, 43847895], [70269807, 31710055], [55807310, 15311592], [41007312, 80020552], [24088472, 14494788], [41940403, 43976635], [49318955, 83192161], [40143384, 28193630], [31651191, 60583114], [59115307, 64749179], [63501048, 3886403], [95961718, 92770749], [87099299, 7354353], [80822553, 91880957], [91221620, 59992470], [5779247, 74209998], [11584212, 32323565], [21547462, 79656999], [94766299, 9736534], [9053371, 78871671], [62715148, 95728762], [63989517, 17337466], [53841187, 36686342], [33374711, 28460658], [1149489, 87836536], [64498845, 65960084], [73266416, 30070374], [49732174, 22708296], [63316114, 45787022], [38191316, 85268692], [65459932, 91997842], [60893309, 63055212], [50611521, 64387688], [45334962, 59244299], [73934991, 8699939], [89423286, 44879966], [82714025, 23844105], [24881295, 51479608], [96317009, 91382581], [62786979, 91035103], [25789612, 30504970], [98216194, 26808797], [40541313, 63541712], [87419227, 74945268], [5546380, 23597891], [63396778, 82984659], [25227426, 43950186], [89725739, 75352281], [60385016, 89254717], [76968046, 10576941], [27192697, 78997693], [4288173, 11305314], [89655778, 38336582], [46153273, 16331006], [32595325, 30419956], [84540334, 56012096], [81605966, 18507647], [39749397, 52822609], [70185305, 77739814], [60437116, 14073729], [44145738, 35692436], [53745669, 26737333], [69101095, 38614896], [3358140, 32448118], [52834120, 38683850], [47091300, 99191045], [42956801, 87971538], [87770895, 32143426], [60499950, 2066225], [84444411, 3440547], [18734665, 47146536], [50648840, 27395511], [23776703, 65679683], [19465187, 7366], [94092425, 48860213], [36277358, 81618025], [99225004, 88396853], [22866333, 62956788], [27808295, 85903159], [70545740, 46217680], [1213292, 52215303], [59513664, 32977770], [49933063, 54570970], [82872553, 15348124], [95878514, 21687061], [77301221, 87819941], [4412569, 90250362], [32301849, 50661323], [94637407, 46446787], [30309765, 58778136], [82952883, 50539485], [48073976, 14731077], [39111066, 61294972], [2098175, 87220583], [92214576, 56003650], [20744270, 27948842], [20004141, 98957583], [73789093, 9428045], [93384058, 28694828], [3664039, 39761758], [14013523, 30327841], [93020974, 46345011], [58939837, 57935295], [19587007, 10356008], [27645435, 25717541], [80120780, 90667931], [32018259, 57683329], [2176419, 43217913], [32364714, 26736095], [2330907, 34435330], [9420291, 40187560], [77477647, 44565573], [85781091, 800019], [8614098, 89580780], [40852618, 12357805], [8042542, 47495015], [79732480, 97439083], [5329897, 62556980], [67630643, 47511528], [81402164, 60907368], [26473655, 59031338], [54190695, 92763941], [83809112, 74381704], [80674581, 39641019], [39223584, 36833955], [92496592, 80267824], [31148549, 75633098], [80760272, 64414698], [22846965, 99290554], [27424559, 5814661], [79917852, 20081493], [8260305, 2204915], [29313849, 58731839], [90439557, 32519565], [14862968, 97075409], [95776101, 81685731], [88146101, 92252643], [33504281, 25757655], [19339874, 7215229], [76502577, 82681662], [71309622, 31540149], [27790361, 77709858], [42537525, 68817854], [70945993, 34701586], [10348074, 57352459], [46305046, 46643536], [28813120, 91174113], [35693421, 13485845], [57449479, 82161616], [21377728, 77915722], [95383224, 81542033], [99497794, 16667637], [4788286, 10542355], [64467637, 67497650], [17661508, 87504104], [88138632, 72565211], [50793749, 2015537], [27506068, 77817873], [83682970, 82279658], [43464002, 35994946], [59754657, 56290528], [57276439, 74864075], [23265381, 93812596], [16340261, 19538424], [90765102, 29419811], [83787399, 47524666], [24094616, 75239135], [3559599, 18695265], [34858853, 59409199], [64610365, 10596146], [63977252, 67840664], [71354120, 72512951], [90326295, 2793342], [84734667, 28975416], [8707271, 14419500], [41721715, 96236356], [80815590, 49091534], [4230015, 82745507], [95294907, 99400920], [24786553, 32932237], [43637025, 51534874], [86831412, 65336400], [73036101, 9865376], [5182629, 98488399], [88867853, 84877243], [27715636, 51692635], [38964435, 50804960], [48151059, 66570354], [41468803, 99726473], [40825181, 34709111], [47091908, 86439801], [40779472, 31734459], [61223228, 47235026], [10577192, 69838182], [6737931, 32415451], [80867284, 4894481], [90370368, 33828804], [80564810, 45606514], [48827552, 15729101], [15709311, 69425484], [21073745, 22312000], [87228476, 49488338], [74636527, 30727147], [54504689, 48465107], [64049272, 61920686], [20322303, 52231072], [4947346, 78522252], [78858512, 69202548], [67767295, 34370833], [4263730, 904725], [46478859, 68989205], [13868812, 38768946], [12926173, 94036234], [77193229, 58813738], [41119062, 60938035], [62110999, 16754716], [30119257, 67483935], [34229414, 50694050], [1330406, 4893553], [46436364, 77331377], [73290201, 12481955], [75871549, 65463100], [41011728, 4248399], [38859620, 31929055], [85955818, 77405718], [20251718, 46410932], [10103691, 43038313], [24283149, 45798442], [84981160, 93545227], [83168609, 28907564], [33815661, 40975441], [29925291, 7082467], [50425021, 45850272], [65524055, 57370621], [10429774, 87697182], [65990951, 767412], [45184509, 37044007], [16740655, 61550556], [50909448, 81580998], [4866070, 12351335], [39955146, 70764819], [49312997, 41254882], [52816089, 61288098], [7981701, 27338410], [56938980, 44674775], [390738, 15456375], [15025868, 14712450], [93708081, 58667054], [81292933, 22528564], [90426474, 23467187], [46286768, 10311404], [76003981, 67661355], [3153337, 61166682], [34948616, 4095104], [33033619, 4917816], [9608357, 13467382], [89911132, 21360898], [52914532, 82748393], [73034239, 31326225], [95941361, 38402762], [56200779, 40682643], [97527611, 7798465], [89068724, 90445079], [41944803, 48924230], [29660629, 91959110], [56181120, 73402038], [92717375, 90109283], [64038088, 24137523], [19448818, 7319699], [49841037, 11051736], [80841729, 43899615], [29735341, 23517185], [28154955, 25783297], [48231385, 72524214], [49564948, 45129228], [92639921, 16447577], [84803143, 3539817], [3510114, 30985305], [82856031, 32195804], [22312106, 50496171], [85370281, 58953877], [70869702, 47324219], [85319278, 12479714], [30103005, 53521817], [53979495, 6118779], [98965907, 54984100], [11887040, 3257130], [92134353, 84909689], [37720897, 68662134], [26050434, 50868053], [68371396, 2450498], [78114686, 45033217], [67724605, 24593340], [49571177, 8996065], [79025631, 66994387], [55209458, 29310449], [84963562, 14709640], [44893257, 58648619], [8361014, 2526758], [15808215, 94133745], [37071561, 54885096], [42519662, 98050892], [53003438, 62860164], [5751784, 66525072], [96906343, 64539569], [98522892, 25923722], [51991322, 13000500], [78977061, 64007620], [57267185, 99029133], [26932418, 60506098], [5379987, 86401588], [89274603, 11826093], [18345685, 29298153], [47938158, 92370809], [84829947, 8045405], [25374994, 35009457], [83562970, 56812005], [67807929, 96405232], [33078275, 27068923], [40722748, 76735796], [11356630, 89291660], [5780126, 39058959], [75016041, 9422678], [94988340, 40968246], [83289774, 93466227], [88903657, 69321827], [82059373, 54554166], [79167135, 99767895], [2282254, 98704954], [2348205, 72707945], [54045814, 21571107], [44366940, 49568202], [71851692, 24073277], [35544289, 50088155], [76921494, 90715510], [15024971, 21693108], [9919580, 3667832], [94670007, 21148388], [67564947, 11829981], [93504933, 88656005], [26331918, 46397842], [79007333, 51320929], [94931828, 75570375], [74337786, 46283420], [5896761, 1827408], [96101345, 36610060], [96264030, 79237585], [61086589, 83116509], [12371489, 85381506], [34453921, 76311995], [11960258, 86939350], [86156406, 13643712], [88671284, 77430963], [31506809, 17015945], [64438700, 33109118], [8346851, 87524734], [3266024, 47324320], [32876641, 64846352], [81692675, 79367769], [44070776, 85066957], [20063577, 57915300], [44042148, 73179173], [95904548, 85564666], [76590531, 41450470], [21848629, 9433090], [54667618, 25489653], [78085521, 80799427], [33090996, 80115356], [2512281, 62321943], [81723571, 20901237], [60060022, 57627979], [18827006, 23478656], [95716715, 46303057], [57018280, 31419291], [68496129, 78699493], [57083004, 79061182], [57622450, 18962623], [79943548, 56789694], [12084415, 83485539], [50036836, 53531180], [1657884, 3808429], [76843087, 41636066], [80797826, 46215900], [380188, 46701910], [38591769, 37658425], [71489910, 37328496], [71195438, 4899782], [19545587, 78824058], [16719355, 5652953], [24912078, 75749815], [60505954, 32582718], [8370250, 13043914], [25907510, 83404934], [57041724, 8842882], [32529722, 30299083], [8499104, 6651890], [86670788, 83560495], [9979882, 23308082], [67241259, 93929088], [52173337, 79088325], [16813055, 61133864], [16578859, 24719954], [38006596, 21065867], [53815032, 25993166], [66502600, 64469161], [32977744, 54143377], [16627711, 8582248], [7341938, 4674920], [7768647, 20095894], [35179413, 24461583], [75292522, 40669258], [92673409, 35962846], [89710043, 87013802], [72268092, 20361654], [4574693, 7912090], [19679845, 63497361], [76569453, 60522407], [22228563, 16091109], [24629061, 11454347], [8802146, 13856668], [10813149, 26678389], [50911060, 48314241], [78619546, 2078733], [44388185, 30938467], [99122071, 1793193], [90421255, 31562234], [49867533, 14770742], [68950369, 76863118], [50831090, 32884822], [75200905, 64750950], [54799720, 82664189], [56677615, 44055574], [93742463, 37280500], [19441361, 82133719], [98129877, 18383635], [3665852, 74710464], [47473166, 76377384], [83986061, 82721074], [54440263, 17033975], [20373863, 55249869], [63295538, 79610687], [92580617, 17041608], [52388193, 53101445], [52344679, 64493346], [38756269, 11210110], [11814857, 97119563], [81100805, 96351235], [45109653, 89565211], [58086103, 19143693], [6279293, 15999073], [41849726, 14822516], [71556094, 33124617], [78901095, 74931254], [55953242, 60379233], [7384166, 41248626], [76892833, 47974835], [65104583, 70772673], [29768633, 30873730], [86626052, 88900097], [23249761, 63152845], [683078, 70759991], [74740470, 8111121], [32278146, 19299387], [99148123, 95556878], [83991083, 80699604], [30514484, 1282703], [97640286, 85786378], [76435964, 47552152], [59046545, 23786620], [21378543, 21902538], [18410818, 20467120], [22149497, 20398946], [60824963, 27413912], [23784590, 22764659], [4984439, 51734543], [57269163, 98176742], [18361625, 44484731], [69466264, 9243402], [80116984, 26579816], [55686723, 88763620], [54579768, 85354123], [40473507, 80311739], [7252901, 94970413], [41281493, 59116296], [78333228, 6010529], [88792911, 89115329], [39498688, 39864052], [29559698, 8101465], [42218899, 82467358], [46279707, 50044639], [4656686, 51769320], [47033674, 9307748], [30524835, 24811871], [89383430, 77672726], [21316023, 30024819], [10918636, 2455259], [22315600, 54413562], [51135959, 17738214], [44441755, 22496201], [92580514, 74878973], [86007711, 91708695], [19207962, 92973692], [39479752, 28675852], [96751234, 81471216], [57099091, 9947357], [99150020, 13808127], [56087874, 30024624], [89968874, 91512116], [43460616, 67017652], [18397109, 94110449], [41059614, 30286244], [61345387, 20688955], [19550355, 71739263], [99908624, 70639107], [98892172, 1661022], [67465214, 27953721], [85680618, 29685760], [87811975, 79992863], [25008269, 96763831], [74968810, 52841088], [42683555, 73628134], [96855404, 62707885], [39805217, 29932186], [99092692, 84311835], [76519839, 21258321], [3266723, 69969675], [95843582, 2081622], [18425277, 77966340], [41883628, 30400675], [44777123, 29566576], [77933668, 37948295], [51040518, 41791967], [87933217, 73101037], [1199978, 23143519], [64892622, 74508977], [53802374, 59945235], [15022435, 76508892], [80550379, 33363978], [93608719, 74109527], [5649234, 81240841], [98278101, 19553090], [48381759, 10255588], [68490979, 63306740], [81644879, 42994607], [31480318, 82328292], [20939241, 21201636], [44465407, 56542092], [75468467, 53866593], [20623636, 67010913], [26077256, 39610230], [97022517, 57260352], [30751511, 57607875], [80473319, 26496343], [50345313, 21654759], [55934013, 9466093], [41438125, 30077549], [80912219, 55554176], [71005063, 6072277], [1584591, 36137355], [1367908, 49442625], [39740271, 6552353], [48025191, 97443644], [92963193, 69847026], [70701315, 9777182], [36841285, 4206056], [79104317, 58293437], [93196584, 11994411], [95356421, 22300351], [34756189, 98223542], [77869741, 34428857], [99868086, 84946753], [16602739, 38879340], [30652061, 79809513], [87712968, 11776381], [38591693, 30580324], [79957249, 9037020], [91777988, 25538005], [35544943, 49226996], [24695900, 74641141], [75452898, 79908091], [62726079, 16470455], [81666390, 75410027], [75981220, 63285421], [2669956, 80490218], [91498165, 93126132], [83256070, 61464326], [66003574, 20698235], [39499028, 8962687], [50883019, 62851631], [26229699, 29916249], [31866473, 79492529], [91724489, 14545254], [8948157, 46196615], [93675276, 93580823], [75783043, 74891466], [47438962, 38093020], [70565445, 5315817], [46627527, 94841004], [55295393, 51952150], [94953990, 79093294], [26761472, 87498592], [78529922, 73224930], [86578795, 25260381], [27842694, 42511734], [26155986, 86984610], [7574275, 59184432], [76667287, 23111989], [75256940, 49736077], [23993232, 88222267], [35365733, 92732126], [62966382, 88888630], [90347800, 21417722], [82419390, 26864802], [27433034, 96023380], [19944653, 76925601], [72232671, 50003124], [21345983, 73652086], [59378441, 68722949], [55288733, 74289104], [14369639, 26220840], [90323135, 90044451], [67565568, 20761163], [83791823, 9126852], [2922048, 88102387], [9155202, 25348389], [46268425, 12671133], [24539963, 89211370], [74119760, 46516322], [39440617, 22961334], [11508258, 67165403], [17471951, 89143405], [13220488, 31532617], [94620402, 63561582], [6498651, 37514005], [86973002, 12071971], [80064193, 63189422], [90828279, 97006595], [27933054, 38914797], [9191153, 69775424], [71790425, 89187653], [16893255, 64928559], [10173647, 53474168], [70705723, 18166949], [48299471, 51565199], [67542560, 16224551], [41841828, 79774031], [81967480, 62350804], [84300810, 64148948], [1494808, 63207306], [31158909, 51082575], [26873088, 98463975], [96258639, 10165516], [61892723, 83003408], [60447426, 84514884], [72766062, 39233336], [48263760, 81736529], [40594030, 46971681], [94406228, 8384212], [97941832, 4992916], [19458097, 37547191], [2504002, 10768609], [7482802, 98760186], [81803932, 30284004], [45049263, 584666], [83586467, 4692880], [18309940, 83439871], [53727763, 80313836], [67701507, 98503654], [49229365, 87109167], [28015697, 77175892], [52064130, 31357476], [559123, 41498548], [21864937, 44486191], [67179738, 84706394], [50185400, 41481292], [95703776, 45874504], [59535205, 46007003], [98439521, 1831888], [30352736, 37245145], [70514004, 97228321], [43146620, 28910532], [89111285, 7275068], [16044500, 33387487], [90891610, 25589186], [57928293, 78095173], [64807920, 16734202], [30068751, 95397764], [77624821, 94635674], [56853597, 71376477], [90885132, 71821030], [31840118, 42766738], [88166161, 8619780], [64746119, 76558483], [2228529, 57190322], [91898112, 46624747], [23982474, 4661087], [90600265, 50275504], [44112605, 35779694], [69919008, 20003423], [10957593, 19450127], [73310828, 16097304], [7462725, 54084853], [35697737, 95918598], [76044022, 32445079], [79493317, 90124191], [11553204, 64222149], [61282180, 31404922], [84549551, 98496819], [36260948, 32917759], [64130060, 6692489], [87349566, 97166827], [68335057, 53246147], [27407795, 7460135], [26671628, 2213904], [78968928, 84505053], [40259820, 57772695], [80129880, 37521007], [15676397, 44005184], [75042339, 75427636], [82491187, 35277538], [62728951, 61371472], [89105767, 15810245], [81200983, 45357829], [16870549, 54782798], [72581354, 92286718], [78632964, 22290742], [79680480, 70889879], [981624, 26246099], [51994713, 24306962], [52751999, 59085873], [23135136, 95846253], [58880472, 32717678], [14122738, 62782476], [15411021, 25772121], [54680934, 51608002], [53550973, 42217263], [96054921, 42346208], [30635353, 53938466], [25947488, 2834264], [3489043, 29975388], [48436919, 39246819], [90087183, 64846125], [65548818, 19769997], [5307539, 42181980], [31498863, 23843], [96541746, 77810004], [77207130, 11770736], [8289677, 2566552], [6644158, 5443904], [57620798, 11875127], [2984425, 59785052], [3276812, 78918032], [74360640, 89994670], [29771570, 54277681], [1933026, 51251384], [43562254, 68091264], [46517589, 69479726], [77504115, 71624208], [25906193, 38792826], [18269299, 29237827], [70333013, 73155168], [40982615, 22324900], [28655420, 26142881], [92232279, 68315277], [75702196, 5875458], [79007128, 94261794], [63160578, 33913625], [16331462, 5919259], [70786473, 69715184], [83951435, 33656838], [61789731, 95073799], [20012063, 98919533], [46699859, 45737823], [20253330, 65187626], [31083233, 13828242], [76999611, 77050205], [29057070, 17467548], [33046235, 8513120], [64997792, 7400893], [61578031, 59427957], [78902689, 80160944], [52138470, 41414746], [36076711, 32633132], [39227629, 39307234], [78110586, 34802929], [1216518, 54213864], [50098323, 67053660], [8633106, 54629132], [76622345, 1523428], [55572905, 1951497], [68393209, 34835063], [15071592, 75530363], [99221577, 57167593], [20960474, 26443021], [25174877, 70767527], [57656977, 1547726], [64259687, 37890530], [34051476, 4377797], [39844132, 93589111], [25062521, 47075079], [79755433, 35642805], [17417837, 32857978], [17275898, 92820292], [14584462, 14317831], [61796978, 87533778], [55766841, 16837825], [88023313, 87443358], [25461587, 47993932], [40374827, 48152239], [84768047, 16936942], [42891236, 20430525], [33545062, 92719424], [80235063, 64117057], [59643997, 34855159], [55192730, 45065187], [79185033, 50812584], [83144027, 21431704], [98420845, 79217354], [49680725, 43311409], [28931562, 68001486], [59923803, 67369893], [95506176, 77204331], [18762545, 33363596], [10955436, 39378125], [96783258, 22917890], [17391805, 61548806], [74569807, 50679086], [95856823, 99321368], [22124144, 13341983], [81891078, 91608715], [9061926, 84833303], [77582655, 88785739], [56007138, 77692772], [33686238, 98140309], [86974168, 85920179], [97506538, 42105185], [12713430, 4731323], [74384387, 49814516], [62809592, 44549134], [71482796, 44900562], [84656686, 84583552], [52947008, 93218837], [31616891, 73495553], [61081781, 1106349], [83678230, 48763897], [56979749, 72047141], [97202804, 47251525], [50374213, 76300858], [11343964, 62348597], [4995294, 10366377], [67246966, 17510161], [43686725, 13335298], [82418673, 51474887], [42995107, 43786935], [80624482, 68083796], [10471349, 8929557], [29701840, 86048339], [27974158, 90255523], [80020963, 2120608], [89267288, 27466093], [22729301, 35181988], [79569794, 17218329], [85815703, 83344716], [48025768, 12559609], [95868996, 71708784], [74688558, 91553391], [48816860, 91199230], [33736587, 55824815], [94100128, 35152495], [56196417, 24623683], [64664893, 84828257], [76443929, 28944683], [2930893, 78249586], [85010672, 26857812], [75259028, 11437497], [691531, 36488587], [18027861, 27068279], [52142952, 92896550], [92253965, 97730121], [30203042, 46582858], [13209859, 91141702], [57625956, 48315590], [21310877, 43685944], [19743216, 70202093], [38447938, 72193436], [26931647, 83297450], [16370904, 19590464], [14587329, 38664624], [78990914, 34556993], [93812038, 67646566], [80959838, 77538577], [13482160, 2999430], [84139994, 55947373], [99967500, 4969541], [10954069, 91992616], [76953216, 70171522], [33755364, 17286376], [61587920, 6597591], [26412053, 72802304], [87304523, 36333918], [15874537, 21444358], [55180149, 59047941], [69148500, 66981341], [5436967, 56740467], [99380578, 77512715], [78707161, 63690541], [80590730, 41249318], [85860574, 67958051], [17578345, 75221887], [10892957, 22708703], [29853070, 9357453], [70064575, 93173200], [23442657, 83716237], [86993079, 43597590], [20907259, 29364351], [48963855, 84760643], [13472789, 72844431], [93539372, 78718948], [45361006, 10487932], [20769053, 4916778], [78721632, 16797476], [4749411, 65373146], [24860291, 39925400], [5790166, 20562182], [84276653, 71698498], [43682248, 50514686], [92607556, 17202552], [47175023, 41390621], [31539929, 70561621], [64772824, 89289565], [1701379, 75237966], [85814325, 78092095], [93630443, 20333529], [15347512, 64204564], [34893534, 71457526], [31727000, 94486573], [56248322, 47456074], [70073685, 90563125], [48067533, 44601902], [87889949, 48839747], [48450746, 91615387], [76458498, 18535085], [93453668, 14796191], [6536777, 32343651], [16603588, 64760593], [62741959, 66510308], [6505990, 86855321], [31514129, 24016853], [95599066, 39518105], [44438929, 95125598], [36108572, 95364738], [57249945, 38349491], [48188211, 9128362], [16248841, 50265924], [64036438, 27394150], [93292638, 96233403], [75113034, 9087664], [36088777, 198581], [30954315, 78004179], [79590112, 3051374], [80078051, 87525450], [3133956, 87661688], [36650717, 19178536], [89729731, 50995443], [54315201, 49794892], [50991823, 45020637], [73449866, 84699300], [41699313, 38004006], [21388068, 56104246], [90418449, 19974690], [14674566, 53516293], [48199539, 32399047], [36651043, 99706703], [73150708, 51844611], [15080139, 96831333], [50406723, 17975420], [71613533, 46284870], [98226962, 46766276], [80404993, 30046158], [37286561, 52882487], [40334851, 5630601], [75240529, 54374901], [78960005, 56069879], [85340445, 6870174], [45618778, 34126930], [60310749, 98997848], [71965367, 49340863], [80819491, 41391008], [70307442, 75719015], [53250326, 62000768], [21024700, 25199862], [1540001, 23862065], [44413985, 12243681], [44665415, 93529306], [99236280, 43058152], [855692, 6444226], [54644113, 11218993], [54014377, 57022153], [93400360, 65483496], [40199148, 16216557], [37240275, 67740475], [80544891, 99077393], [76107112, 15151306], [57955338, 39942737], [97912682, 32338707], [39087912, 70071348], [52773981, 78227622], [8557599, 74395191], [68112176, 12423165], [99422637, 31111516], [52445789, 2865894], [78301037, 92136139], [80540952, 97287529], [35106354, 90910291], [8688667, 48259847], [92722056, 1803722], [12298635, 31867196], [99238742, 4521611], [22274424, 52191700], [74251256, 10734450], [77274527, 54016649], [78602420, 57469203], [26571516, 725582], [5301918, 71200492], [61025185, 29632467], [29129174, 58455361], [56287728, 65092090], [647775, 11517575], [11549405, 4145504], [38635921, 71535351], [6672338, 5705863], [87213588, 32721909], [89882457, 65416222], [10255603, 32579630], [74758070, 44318342], [71677745, 60831266], [36082689, 6331178], [52757404, 29883034], [50392334, 61602688], [49396881, 31792893], [49256529, 37431694], [66958011, 38227540], [22461938, 28682009], [79407971, 91345053], [38199851, 29220908], [959219, 54081195], [8385267, 7672202], [80594362, 34163266], [74330744, 61573579], [11261039, 20585328], [19256027, 86631491], [5564860, 95991080], [77332963, 45490648], [42574884, 93403502], [1635368, 43118373], [48681532, 75964582], [98178363, 72314979], [12318599, 59623480], [9128772, 46490271], [35312804, 78236830], [13980209, 10541333], [36300819, 74400089], [96490902, 62450142], [88409240, 85847098], [14444226, 33885170], [69611064, 90611306], [9768634, 58468863], [16804846, 93998333], [22543854, 55780324], [792242, 12057727], [71394238, 13913692], [98883600, 7337691], [33918127, 18782476], [41935168, 84143497], [22246134, 9899406], [91971284, 24376436], [37623802, 70805079], [66198070, 28418955], [95749730, 57237618], [65813960, 95160613], [87921256, 88793367], [52294288, 66013724], [5014360, 38674123], [26097084, 16305337], [59819418, 48003902], [33646309, 22864579], [16766776, 27393437], [12322907, 7052968], [21470117, 69755893], [33422388, 5656563], [82722198, 60912852], [24481541, 57862572], [94845080, 52477652], [21093268, 12392063], [6398750, 25999250], [50763127, 54834244], [67396857, 50310222], [98548298, 21476580], [23629177, 97734740], [36884156, 78489653], [54987367, 23452661], [62239969, 7615715], [20680706, 43081361], [26363695, 54942469], [28149273, 44746349], [63502779, 44481906], [40457304, 8909676], [72191784, 21932089], [13744964, 12856108], [62679711, 90092907], [88850593, 2323640], [78854306, 6934555], [96910769, 26166615], [84762436, 14555675], [51125721, 99711665], [37070544, 45716129], [39938669, 91231374], [73563436, 43316229], [55224819, 7076719], [54889354, 8978751], [11047062, 7375081], [32563940, 55564927], [74577665, 43246916], [11966692, 41133028], [48570469, 99483757], [57840860, 19792384], [60456127, 97779482], [63635798, 87850680], [44766118, 72718971], [72539760, 96052251], [45322668, 96745479], [70241800, 62628384], [1972904, 71918384], [23772488, 96609506], [63886892, 18458863], [82026690, 67612213], [23368777, 47954501], [96546670, 38318326], [35083350, 22403202], [41631213, 61066592], [58961285, 57957059], [93492292, 68207745], [45560546, 37637567], [69658595, 64241974], [67821875, 41962551], [77739560, 58076710], [20851973, 98666382], [36035170, 41202429], [31480752, 53027634], [30547445, 6316370], [22506937, 4602633], [32121918, 22497048], [37993162, 21813930], [7178351, 31567627], [8180310, 92468364], [54625807, 51198396], [11938582, 63815561], [98381418, 85629442], [12195815, 1447870], [29056939, 18514579], [96642264, 78527275], [91060276, 38389463], [49062589, 39708856], [53934245, 11146437], [11254698, 4237299], [95127775, 97103170], [73500348, 29172742], [45097139, 50666347], [81628825, 23233063], [43219968, 27645136], [38112730, 78644912], [61928532, 61227677], [85173029, 14333049], [51842395, 67474160], [24001133, 49758491], [59071321, 57383561], [28128679, 53658203], [842733, 66187200], [40455644, 62699298], [71765399, 70379859], [86412325, 76280193], [84022990, 67263044], [62694052, 56234883], [80195884, 11504281], [30968846, 21648294], [63166084, 62414696], [70775415, 92645121], [47928523, 19510962], [1595530, 8737205], [66579231, 97342076], [90377195, 41374020], [67421459, 88587032], [4724854, 98312154], [27044851, 2979998], [85129563, 26019005], [29225140, 73292160], [56188847, 84206402], [35875829, 83888590], [59301872, 84083639], [55554268, 90783269], [39092054, 93390904], [28483310, 40407869], [23840176, 81331828], [54475704, 80277879], [41904778, 94664435], [36385596, 17225018], [46345136, 78877558], [87771850, 92460797], [70716870, 16687184], [7146276, 19120884], [4534156, 59331731], [26880573, 62137152], [57145741, 85921997], [36100057, 89344693], [95656986, 27007724], [34967540, 46732749], [6269060, 19928297], [10703891, 18621834], [3116092, 22888807], [99807115, 53711228], [58347223, 68590917], [90579300, 79187250], [10079284, 48861545], [31673526, 9949247], [36786154, 41586883], [82238664, 54582966], [43249947, 24839058], [91308906, 47415895], [31818773, 86794627], [27525503, 33800634], [71266423, 64407095], [11621775, 91954613], [60057917, 9467318], [75153356, 18847418], [56341449, 40109857], [99003629, 66696811], [21030999, 63672169], [16004580, 45978636], [584065, 63168988], [25194093, 69324597], [94316817, 51705014], [37300439, 30070055], [5283291, 41626092], [51547287, 24962437], [45602866, 90825134], [51184273, 58153958], [13013201, 95758108], [47972063, 34157066], [16488025, 54148002], [44408166, 73411282], [27328872, 82696467], [2741211, 77672056], [17928977, 59345224], [47016843, 81086303], [11258136, 51286939], [57125898, 59107164], [311192, 96495779], [6710749, 37623059], [98478509, 45476190], [69855011, 38789795], [40878055, 88198784], [37386674, 81883260], [83391633, 56599423], [38484298, 74397310], [60247816, 77773042], [8439906, 70349795], [60806348, 35414904], [93339769, 8108518], [77553264, 5249091], [75577188, 34348714], [13001929, 78688180], [82309062, 34772632], [88471572, 66525514], [71318487, 97863600], [80499929, 17566330], [79691172, 46061155], [60761646, 65566639], [58116913, 99614640], [57434227, 56004422], [37976363, 40552253], [97623971, 40237686], [27963089, 90003785], [63452438, 90261722], [43608865, 76202034], [23637132, 22729819], [20316679, 23652030], [31097349, 36083553], [50116809, 40512643], [33608188, 66417428], [23068290, 64813015], [43248999, 10883632], [32055097, 69886039], [46333292, 48753803], [57695331, 33368912], [67824610, 95406729], [91976482, 49725032], [3519415, 98167998], [6119109, 3848556], [36069001, 64300802], [44265089, 24331724], [47231708, 77970612], [13235757, 59618926], [27474125, 62953806], [66257715, 78182919], [63233743, 6606208], [79809714, 41128208], [76444372, 39259370], [93760642, 70088994], [40719223, 92379690], [72996911, 42219572], [41763098, 84575663], [90017609, 57835786], [35582894, 46581238], [94435577, 39302973], [39438796, 73596655], [36761579, 60063479], [87075217, 81712529], [5754484, 44961564], [40001025, 12407938], [15565553, 59194789], [18853054, 55441682], [29564185, 87028093], [81676984, 24826948], [99867893, 64482072], [66084896, 26650577], [93125995, 31644275], [20757459, 92241397], [18049942, 34227688], [28930620, 55889382], [92727991, 66716124], [95302424, 87575228], [62706439, 24931645], [89445161, 47123862], [64544624, 79135263], [48943113, 28870274], [47802295, 72814148], [58921580, 20959010], [55700089, 15723226], [32308914, 39180376], [12736689, 73083973], [14177006, 16117093], [68883834, 64411088], [81773642, 45020525], [40445931, 91099742], [79521736, 80335469], [55608302, 67470715], [52509964, 35417935], [27111729, 73203346], [78251830, 45559440], [43047811, 29174026], [64295979, 64664147], [51202253, 62957974], [53231834, 98061572], [72456977, 35080696], [20923003, 37801299], [3338704, 31495160], [70714796, 34870203], [70351495, 99857126], [19163005, 14814953], [3623929, 75231204], [45517370, 8693658], [6190206, 6692679], [16771936, 99397270], [20006623, 37876685], [29544654, 27129283], [99635387, 44253207], [70747269, 79830082], [73577896, 87187677], [94233166, 24499274], [56410139, 61560648], [39974175, 6385950], [97439297, 89038619], [36160058, 92435586], [49437231, 1216952], [35451238, 97268263], [95591210, 44332768], [32735837, 59889973], [17195028, 29040578], [98434661, 48211715], [95626790, 72088474], [52959876, 33881675], [71232709, 91298783], [42782365, 52658841], [61777128, 97980739], [37845790, 84029166], [92113673, 9388233], [13037675, 8494458], [20018607, 84686556], [39735587, 77645933], [82692357, 76829004], [47271080, 88112254], [25562074, 3083527], [55173286, 2118091], [90727976, 83565159], [51168408, 27245301], [2556403, 25409724], [5046394, 96158733], [90253820, 99325867], [81761742, 17051833], [80476624, 32870771], [97256237, 3938909], [25133456, 19274662], [26909180, 43409416], [66997898, 99210603], [83336794, 23678887], [61473504, 40498698], [33620997, 31784100], [65021550, 40062303], [33837262, 3739340], [49462442, 38524922], [65221351, 92785881], [64853644, 17829795], [50993252, 85060878], [96243264, 77067109], [52920818, 42963809], [60233000, 21700434], [60587559, 32821890], [78140265, 7501720], [49894794, 78698097], [45658786, 86345185], [54555975, 34480614], [93110198, 84481662], [13583929, 48023274], [22754148, 44911848], [49762592, 58411497], [72343737, 26353975], [82998842, 14512335], [44810461, 30988793], [85853497, 42405810], [55940058, 58055262], [62605194, 98750332], [91308697, 85028], [68466060, 76906702], [483401, 94463404], [42697525, 17748311], [84917459, 98504616], [53082984, 68861638], [99488688, 41369744], [27337152, 50577441], [4390624, 18298068], [42025283, 76109986], [52592023, 5648558], [3876603, 73841260], [71318815, 79750338], [38091470, 7196051], [2680659, 45695523], [1973566, 98465877], [28932706, 42959429], [27917138, 14150059], [97313630, 29250080], [59117626, 8336869], [64185841, 26497416], [55635735, 30471428], [32497186, 18395049], [22950803, 66782190], [21072072, 17442804], [62616529, 86398566], [80409780, 54037773], [21603647, 57000303], [30572734, 37748232], [49507703, 94940838], [73916064, 27455203], [90225803, 48665196], [77782069, 87573071], [69265858, 23889609], [94869871, 69650730], [97241118, 67714491], [32545347, 63594838], [30015345, 58312227], [24282129, 54842711], [49587763, 37545180], [99674694, 53300794], [69955123, 69605892], [53440829, 81071645], [15219336, 75610302], [32246942, 1143117], [91178950, 19274809], [35482167, 47817737], [88313863, 85533513], [57891460, 52678746], [48473557, 75554872], [28220635, 27581503], [9895572, 45134455], [67977878, 54820653], [1802899, 97200967], [93650076, 94351614], [32825668, 95596251], [89919967, 98634682], [21413096, 27677552], [22197785, 8810189], [52815514, 16735908], [90748164, 84569087], [73451030, 88418494], [57541624, 58337937], [21481603, 38208054], [72726251, 92030940], [32958040, 17450651], [23680101, 38000970], [86685607, 81732011], [3409929, 39342230], [66909834, 77463990], [22285767, 83734654], [19533612, 53876595], [38227908, 43879775], [27647095, 36098343], [88979097, 94277148], [3895947, 17656500], [39278935, 70408617], [51897599, 64111752], [26690427, 65992998], [74352333, 44438329], [74053719, 97417808], [18232872, 6140234], [65513552, 54542816], [25478644, 84462462], [5835362, 87657553], [43603121, 58812481], [76719128, 12674957], [19260639, 31721864], [97686251, 34062165], [83307936, 34529005], [75495744, 99394901], [59600792, 52733489], [30059846, 89822634], [36725292, 44717416], [35726965, 66522327], [51025460, 84044152], [81874888, 68886429], [43521684, 38980406], [40149638, 99637213], [31734669, 50868941], [25448394, 20056159], [1299640, 39087935], [57243679, 7106512], [27706104, 95511663], [87431558, 52503537], [24187256, 74519508], [71750069, 81207758], [82343890, 83927674], [12849867, 84258363], [83512522, 57402674], [92031511, 42515124], [95197003, 31562488], [10630561, 42184254], [38418003, 72096293], [59071606, 53703538], [45112471, 88384034], [76493898, 44481981], [51283914, 10440121], [77706341, 17977745], [76467245, 45200253], [82516742, 9421689], [54374733, 98177284], [83503447, 3764770], [76122330, 60414247], [57517320, 29226601], [31969899, 67324345], [99389265, 64757157], [36148131, 77368934], [84918845, 64310167], [38513816, 85570713], [90613576, 56117255], [1416251, 50500709], [20796498, 30126741], [91437320, 37825201], [85103294, 48847354], [66229367, 52787784], [68565872, 78959677], [55307485, 19306951], [7054124, 71129755], [98066643, 81942601], [38238418, 70683136], [72929098, 63317064], [3440451, 5016852], [1613043, 80970621], [68646348, 46376875], [53401828, 29408998], [20705941, 94215815], [32687334, 87966257], [59767156, 89664594], [68974756, 9787895], [55807540, 90094591], [66370939, 67174768], [4833050, 27046393], [14170983, 5591], [93051193, 37141620], [87497384, 62691145], [96771069, 92928440], [62897024, 54021037], [44580021, 41608772], [34946581, 67258701], [23816891, 58716388], [92146642, 3744929], [3173835, 9543583], [3283547, 47512848], [22534779, 43954418], [5411661, 84413727], [29444810, 63994221], [80158424, 59229852], [34635412, 54897176], [30109838, 31788756], [34624300, 33137578], [51574155, 62785152], [52838875, 21777908], [35315909, 20724938], [44408708, 96054598], [77777897, 48904765], [67335357, 92560420], [32118275, 82547067], [17206111, 37576062], [54351321, 82256432], [98955033, 31625945], [93598835, 90665048], [52479309, 14811732], [21070212, 64730814], [8639033, 50894791], [95556897, 10658789], [11628114, 37090476], [16415231, 39172885], [38488016, 19533288], [14836772, 90186803], [93751529, 73631128], [496419, 11535341], [22550386, 61796126], [45437564, 98488138], [80386064, 57495326], [32449657, 21419447], [13281527, 81128665], [59547401, 79558099], [97829883, 88163602], [90761886, 53743959], [25289457, 31440596], [60646792, 79309421], [60738270, 66125622], [71230139, 65663107], [90858203, 73965411], [94439830, 15229210], [72334277, 91314174], [55996586, 64517337], [22947297, 55450001], [77129357, 21234670], [59367363, 35840040], [72162608, 11211473], [29347894, 6261253], [30916504, 38549936], [5432717, 27001118], [15045675, 95611146], [42850628, 75413994], [67765916, 32248506], [68565490, 27394055], [34671768, 49026988], [17603768, 66986583], [93231283, 33464361], [31247836, 69608618], [25556644, 51213169], [12301807, 12892058], [84215838, 10624595], [83319006, 68973270], [34368196, 4386740], [80001697, 90240988], [36924843, 24024275], [11688981, 85653437], [4048846, 77028740], [80998567, 90793744], [56508149, 93668888], [62169331, 19954137], [67938924, 24447069], [86380592, 14111412], [72837742, 57102000], [6111483, 38392865], [81225596, 31545422], [49941199, 66745514], [71119309, 83488860], [80672311, 36970716], [40789669, 21444279], [19013118, 56557869], [31968445, 37642985], [9914666, 35382362], [60387945, 88089485], [54064526, 58086686], [83129985, 37804221], [60969325, 37720979], [44633969, 17106618], [66087392, 11858069], [36959679, 42982348], [24599866, 3507032], [27222962, 67309066], [69623746, 93500854], [32645660, 82166403], [77648040, 33932763], [39425757, 1086403], [73645406, 87525368], [71117311, 60488882], [10859555, 17056395], [58848452, 77616746], [7377375, 98244534], [92831500, 23073103], [85164262, 76210744], [92499150, 98460675], [89120218, 80587356], [21213199, 75053894], [1181818, 76913927], [39180338, 78265235], [9615430, 75707751], [56920392, 83031125], [19642887, 56283715], [2998515, 96445104], [13649795, 68817301], [98742108, 87707595], [77455809, 29674476], [43570459, 78872229], [8140048, 19137730], [69000283, 15175159], [31960769, 48880558], [80438457, 19174939], [25327572, 80683593], [41902909, 44066648], [20112701, 56114950], [11481965, 12563721], [42284583, 3915111], [65423983, 4997637], [61015204, 50688481], [90742447, 11649374], [78355196, 85345363], [56983675, 40118773], [67203636, 77700643], [57848246, 42086343], [99958745, 47404504], [11214378, 1218317], [27203873, 19876180], [13732889, 2693835], [13539861, 88986767], [96814114, 28991610], [25441714, 44496950], [46947415, 10921539], [51329197, 81174876], [92882562, 83081436], [726587, 31771904], [34350276, 6411521], [40792037, 9052579], [7920799, 30342454], [45401552, 21189521], [98907386, 15727432], [2836192, 87414751], [62232510, 75878590], [23367242, 88261217], [58928403, 74587178], [19276274, 63929815], [97855649, 93801775], [45314597, 3902920], [91222530, 13622453], [73678294, 34710318], [74992678, 17629451], [62884931, 99463511], [67844447, 85555838], [46806332, 85267111], [675099, 9516572], [26906687, 33912636], [16555221, 55896651], [63919989, 56921341], [64602651, 16596043], [14145320, 2006121], [58342780, 37248786], [99334488, 72025909], [63104334, 57459240], [85314040, 75823257], [51199802, 29509029], [29013689, 84719446], [56298654, 43132125], [40544479, 60553205], [49873201, 11099612], [58316156, 3423414], [6202481, 23541093], [75884394, 21023995], [60342804, 8315409], [23326156, 93108291], [42252335, 12017617], [90857781, 58491458], [20133672, 8644405], [97696645, 58625497], [6042700, 54007439], [57102569, 81266293], [63022310, 16149308], [10116916, 64462889], [44136473, 33207377], [12152671, 66397817], [2225040, 84784307], [49956526, 77122266], [36587731, 4926001], [9008162, 39125018], [22070956, 58950300], [94510615, 36933665], [8918145, 78640211], [73273205, 1570060], [15470012, 92277646], [76360556, 96194217], [78412495, 36844354], [21785674, 40430718], [48476214, 10756298], [52713230, 56692315], [12189522, 21025790], [14443898, 71371183], [81655651, 34171222], [6491746, 94478717], [90071026, 38676955], [57665685, 24729884], [3596780, 68332144], [11509599, 27888985], [32065468, 43880739], [79442406, 10531180], [2564401, 55913799], [81386394, 87779922], [84506575, 1726082], [93667169, 19763538], [63389592, 15298183], [53843639, 41052326], [60310080, 58573213], [36791007, 59181071], [95457267, 74834135], [75792672, 59477099], [92101050, 59796204], [63332499, 50480941], [271368, 92038157], [82209619, 46532480], [11155883, 65796624], [48755499, 69701706], [89405658, 44859876], [45499306, 3829077], [99699423, 11234495], [15030920, 49613987], [48226257, 61570814], [30222663, 19967402], [42904677, 43783759], [76828737, 68758822], [52520933, 65056844], [768330, 6490863], [91697788, 408587], [82630722, 78962110], [97436874, 94642767], [552002, 83350369], [4981090, 80709005], [59946012, 95154255], [24284367, 68187857], [10493030, 78782703], [76197305, 88419397], [90286082, 8537713], [34484048, 35450357], [3851309, 63362144], [27852016, 72945626], [79043910, 93890504], [42912155, 50306663], [84988252, 1805632], [37727832, 30140662], [7711863, 23887406], [94236534, 53541397], [38761996, 8915803], [87412237, 53680689], [46561639, 37655578], [37862377, 64622542], [32016666, 67649266], [4753098, 16283346], [12129509, 65854964], [3771027, 35591084], [57658338, 5236276], [68791754, 58454945], [72801140, 58549994], [68113182, 93101504], [71980474, 86270424], [96062327, 96714836], [8884811, 42309279], [41380591, 64130759], [85988135, 21990134], [29336619, 26488788], [36868490, 57100325], [89371166, 47468380], [18316919, 58294535], [93192089, 68983371], [66055709, 98500213], [35932707, 48073443], [72830157, 4683744], [10922157, 28550055], [67928560, 78962826], [30033800, 36539172], [98724517, 90054826], [94561416, 80354909], [45726135, 68498297], [69527752, 37237850], [13845914, 20984386], [91981685, 55005456], [75662142, 78684507], [57130510, 98848763], [98906333, 14726719], [79549939, 60105038], [21639532, 9898495], [47253114, 77851716], [47219889, 20702139], [37245180, 47700500], [58183717, 1242313], [99514606, 35125344], [57472517, 28372784], [5838511, 296571], [17822021, 29724209], [94670245, 61982974], [95838913, 48401170], [45709337, 52494629], [9438813, 48764175], [78047929, 19939727], [98922903, 85633287], [14789959, 77123877], [25667225, 97206263], [49672798, 50000232], [1258648, 53563533], [79935851, 11405292], [31302442, 17396258], [56020694, 1651931], [98773600, 54670896], [75681464, 62040545], [82873039, 97249205], [85025944, 22109502], [74485664, 73490342], [39488665, 31611677], [48119629, 41152641], [16523095, 72222961], [76546776, 29767758], [84267575, 77544605], [85516444, 2906562], [22284024, 53886992], [16437606, 5747666], [63237233, 13353676], [57872649, 20209059], [32718635, 61936394], [47859420, 2460220], [3515540, 4915423], [93232029, 53937660], [52405264, 63286447], [30750870, 91648186], [44958486, 10384236], [27276686, 81356473], [56492026, 12746502], [92019172, 28570221], [60305603, 22881589], [47382475, 43341838], [67421573, 22928645], [44794578, 70407968], [13606094, 14417617], [40556751, 70417898], [53449223, 83855653], [69914708, 72283954], [49261229, 20010316], [42809353, 61917453], [18507214, 55980477], [94816161, 42803523], [98811319, 87986214], [52976319, 67359998], [1465906, 42847649], [12454705, 61738770], [48537730, 32035099], [97569229, 7998248], [48091977, 82635042], [50760520, 85700170], [17478672, 61771920], [32505745, 59052480], [99115215, 56489270], [7993400, 48741073], [4928159, 6409821], [44075022, 64975516], [12344693, 8231315], [28415854, 62728054], [33461420, 66699730], [24433788, 59226690], [36560540, 70000402], [43059004, 39842960], [52978457, 48542574], [22508140, 39040473], [55196819, 18704832], [89686016, 79405392], [48797653, 79298054], [56865989, 2501105], [99486905, 4717401], [48584979, 56742488], [71594995, 8330683], [77874494, 35577885], [53179792, 14988228], [18335430, 25664290], [83730001, 82199185], [92964266, 7553980], [11945228, 75094314], [37331958, 88893048], [48955627, 45926498], [2996775, 84207995], [15494014, 64221736], [78606742, 9208305], [72249348, 96801799], [58073330, 17440907], [41423587, 89083689], [99509954, 7529884], [23051940, 58157808], [3384390, 44566984], [68869284, 41303618], [82732540, 33034811], [54393239, 80250590], [83827106, 55679277], [1345495, 56917395], [33580518, 25853436], [81728715, 76773602], [45185262, 73182536], [55111583, 26828558], [13147508, 44215616], [22260024, 94321135], [25857633, 5233306], [20610989, 64701903], [59118303, 48608666], [37255092, 46179209], [11803578, 19563953], [19393764, 65064091], [68563139, 31170055], [65493643, 92888301], [18503310, 92820634], [9552122, 85608074], [79439560, 11206614], [4781667, 11362460], [48278658, 44745148], [53540621, 39618259], [63827923, 12467731], [96588029, 44916434], [75628198, 96821214], [10551565, 24418838], [9255176, 7517019], [63500678, 35473883], [35525567, 88223790], [88312937, 50078733], [50325877, 36047206], [56487768, 20160822], [92603489, 16234575], [37532731, 610338], [51048241, 3651690], [69675644, 38016294], [31706738, 26066111], [8683396, 75083277], [85532072, 18312026], [91133158, 36136527], [83968702, 24807270], [40045486, 59612252], [15702736, 63019769], [2676518, 22932076], [18935005, 26305331], [5808356, 5066788], [25982557, 15215521], [5592093, 36878156], [94107831, 73310748], [20588481, 61126916], [62476044, 86129013], [35370967, 3107883], [31931222, 78044894], [22987809, 4188663], [83163147, 98624476], [81535065, 70486218], [36399764, 47802590], [45032700, 51869644], [32703671, 59976128], [60030953, 44343779], [29235921, 36715314], [31310835, 64666242], [38385490, 90307069], [43882272, 47136382], [33593328, 9713950], [16201604, 29488834], [62455777, 89182511], [6308219, 75817955], [86826344, 69715385], [93055902, 98237428], [77950183, 35666741], [17395723, 8438575], [25130477, 34833533], [12642809, 94198279], [47208106, 41176703], [92527387, 46108210], [23882775, 6954663], [53274103, 52302213], [1605788, 44698097], [92365639, 16798786], [41011198, 66490020], [84244108, 39088250], [22858392, 41789563], [58133508, 85836637], [14827745, 33611506], [71369794, 9620868], [46194928, 52014748], [23990781, 18921810], [99145667, 89084873], [13419557, 65554343], [35706091, 50902322], [15634808, 80586584], [66198358, 51826668], [22932281, 63898578], [75271490, 10928675], [97317754, 82326197], [18947564, 6725635], [34342977, 40392893], [46607128, 69181586], [31754810, 32454499], [90184158, 38885081], [65478136, 25069299], [67719346, 27663181], [48944393, 72471458], [59774388, 47545451], [93350729, 42066097], [13522636, 18551627], [82388649, 2416701], [89616627, 74981019], [69420227, 94284450], [76357347, 68333938], [35059390, 77505570], [70610596, 70795575], [36350131, 34439272], [33167265, 71998246], [67091132, 76240410], [24796449, 72578403], [50028533, 40894286], [12725817, 24116123], [62097955, 39317276], [84722240, 17473885], [97519971, 43542231], [403191, 22528965], [87877388, 7018524], [54046733, 91591578], [27178588, 80920901], [25090967, 21468823], [63898575, 71000302], [72986058, 55454431], [35091839, 51487347], [14232889, 37239865], [760698, 54903189], [3837814, 99271773], [76864612, 12582783], [17219290, 79669153], [68706079, 39430105], [82613313, 27247954], [10304902, 1296180], [17999081, 10783], [44575, 11771175], [80814955, 27911522], [69301404, 68857579], [68890044, 92556115], [51189569, 98703793], [71306317, 44834786], [25662014, 13063858], [99512518, 99683816], [58934657, 15588188], [38884517, 72813601], [5486832, 79429269], [33281032, 26874826], [84349762, 43022807], [46634950, 77278778], [7260137, 91871509], [30698186, 7222762], [65217305, 74382024], [58783878, 43275967], [13920887, 17989323], [9633, 96819297], [83131145, 62296822], [79064871, 65850005], [54295009, 6702958], [58532693, 51757229], [61757508, 9360961], [25300546, 23404998], [84976118, 35195018], [8176086, 96693993], [24988223, 55252179], [3537060, 69020179], [21522822, 97777531], [31395998, 14658178], [7026413, 75788387], [95095596, 66121252], [11348029, 73898764], [8277117, 17789377], [18611224, 38477246], [96739181, 56368506], [14694573, 74165837], [25640447, 49997266], [59977109, 22004791], [27786285, 67622152], [79426469, 51582854], [62372717, 17229721], [74735720, 72755395], [83821030, 60075352], [94651477, 9028697], [26724846, 5646470], [13617596, 24476580], [73077604, 95651920], [46891390, 71586462], [17471829, 27449421], [70873478, 49076060], [10370754, 97391879], [98496882, 10455795], [25649276, 18952926], [89494757, 6559271], [82173640, 3520790], [5497222, 54782392], [19031311, 64754727], [31014202, 17679870], [11368835, 2062697], [45956540, 57289674], [65007383, 80046607], [21712479, 90954442], [63914886, 85295811], [19672499, 48040224], [34826423, 46264107], [4760311, 81996341], [17624076, 10601003], [63756597, 49981022], [40837319, 18381341], [940851, 80409088], [14101239, 24379925], [55293953, 65101743], [81368321, 9727634], [90811105, 29815565], [44548768, 7411553], [82041925, 1630091], [88424251, 6759414], [92920843, 85725914], [56101073, 55713742], [90057660, 77253259], [79647197, 61003228], [53376084, 10546304], [87235858, 56198414], [76195798, 46149860], [42401935, 89115130], [18233474, 35972232], [59502874, 37027527], [50696545, 64939750], [1411347, 39182318], [13219912, 87266279], [56224238, 82454846], [76045622, 4434127], [71527218, 97678866], [87691921, 60614710], [79412157, 99681259], [85772958, 56299831], [40152516, 10075415], [52878419, 83134499], [27962530, 11160523], [19266380, 97940834], [90645242, 66036093], [72500995, 26529149], [21903216, 83649757], [8858319, 22922658], [78057087, 17549461], [77362562, 31568833], [23256982, 88993970], [94711187, 48003377], [4945590, 33216367], [42297450, 72172774], [29658482, 86374976], [91575423, 58672412], [10076522, 23202980], [43406132, 94918346], [44674135, 94988856], [41819898, 4090256], [32380221, 9052172], [55098428, 43704973], [37933650, 52196489], [49824862, 47083721], [98069391, 81084839], [48107343, 18400250], [4506991, 89020858], [11125082, 40396835], [87334383, 17297363], [61408600, 82097233], [9780834, 50512254], [6299015, 79464989], [24788585, 94907529], [31977751, 77809349], [14406931, 42779737], [26855960, 49514135], [57251997, 73213295], [3866933, 62334216], [55258742, 99403258], [45426232, 44468568], [30592408, 66947453], [93835774, 3158300], [82785773, 8753588], [11685043, 58603594], [18762424, 19286740], [88998399, 83125001], [54164379, 86348748], [98063685, 78433645], [16250083, 15188688], [85205320, 65472172], [91977410, 94590858], [65071610, 4591176], [57664987, 17579860], [80791925, 80920348], [5203092, 24667760], [95450170, 2913087], [84718109, 51833981], [37237229, 22997880], [54450969, 83977366], [20014602, 32174179], [12798844, 41223701], [48960137, 86143843], [10111544, 14437979], [20985240, 87718044], [72396497, 1547852], [65625987, 158747], [41667206, 56721844], [55744861, 28785381], [90002753, 83587066], [57602968, 23522406], [6711193, 11584068], [80216829, 22161512], [61494516, 26429392], [2464147, 37159729], [3864151, 27138166], [36236052, 86570591], [60792968, 98725258], [78106316, 18067406], [54246865, 11805058], [32536673, 52750750], [88026306, 14166540], [49786215, 64086800], [84775524, 10263878], [22775139, 35614113], [45497445, 38922009], [72033117, 70661331], [65958835, 23632527], [70672126, 75374294], [24633410, 45511610], [63246135, 91243016], [36106430, 94730947], [12174593, 57122254], [50616413, 71827915], [1186746, 15652762], [19443188, 41593647], [22838968, 16360744], [97545092, 65174926], [14994685, 93525804], [65785016, 29572220], [6026957, 52806404], [10075257, 15836362], [43140327, 58586859], [83110375, 38308664], [93097985, 73154160], [5128621, 18985364], [80534794, 82832172], [46536941, 61386701], [23865822, 41310298], [26602906, 17666978], [26661722, 64358390], [22523826, 12216956], [92726535, 25682757], [16720670, 48046248], [59419112, 4852681], [53932617, 40722787], [54071738, 65705904], [42325923, 11356291], [56041496, 75040991], [83245153, 86803740], [39872525, 79330915], [57961038, 36334832], [85340900, 75142819], [37518243, 31270540], [68057634, 67698934], [60496133, 37464209], [96171880, 53282260], [84280344, 77253878], [53793305, 17394961], [15355505, 14363671], [26200596, 64294745], [6727301, 23784987], [35180728, 55829568], [22746236, 43435583], [35469646, 1371790], [45388638, 70490551], [22776387, 54380476], [54495174, 15181024], [73762653, 56226120], [64872721, 63801789], [2061136, 7710632], [87187955, 1482917], [86102931, 28938598], [66898927, 4126974], [41124145, 16718434], [37014070, 55029891], [91589387, 4263312], [95931854, 54041053], [73978934, 7741032], [93491406, 79057035], [2479202, 71448986], [71326370, 49971194], [19861057, 82056669], [58585138, 99674467], [83485301, 49923116], [85780174, 86331849], [959675, 29704113], [35363610, 7944735], [87303754, 81748391], [7515242, 87530627], [23164384, 30161517], [74518061, 27051762], [23939869, 72883141], [49914013, 18629757], [68573433, 95102391], [91632967, 98508129], [1221569, 12189648], [7951287, 68459866], [30997711, 33098675], [53313079, 86310945], [16257009, 12110125], [25206671, 41819742], [65342714, 75663536], [14777724, 63141834], [21625980, 72764182], [65003228, 88140721], [80229023, 18622728], [66436804, 34703708], [17073317, 40521809], [37470377, 32310177], [64637649, 7853826], [95995343, 62091249], [44969445, 96212276], [69155954, 57023495], [39358882, 50333657], [98898998, 47482721], [319468, 26654974], [58956325, 33987287], [26926224, 70960870], [44680998, 98333531], [59455739, 24632424], [51582527, 89464062], [92048427, 72090558], [66299526, 8488067], [53368447, 48965326], [18472166, 85535618], [83677755, 73519063], [55646914, 14339486], [41660552, 42857809], [61729287, 34776627], [74045526, 7904826], [80289882, 21987909], [30192300, 42904431], [76098801, 35769474], [44760491, 91872397], [34935869, 86078017], [88933354, 18343], [1597126, 84880605], [95981972, 48089644], [69836991, 74731979], [51500160, 78310507], [5412014, 25954210], [39160382, 23093223], [67202592, 45704560], [10831921, 6599051], [15244878, 50286186], [73881933, 29043585], [60277753, 59545456], [89327899, 1369643], [28581763, 38794816], [90851143, 88790512], [86968816, 9539278], [27633829, 98214651], [3768307, 91021433], [52876324, 83979783], [52875978, 46871042], [46596693, 84434935], [18849129, 10430104], [5536217, 73553549], [62161144, 60883106], [23956186, 68074527], [98376265, 79600123], [87793368, 93158127], [13378060, 148704], [10409279, 92889930], [11817625, 50848590], [7582520, 58924726], [81673434, 7747292], [58740032, 18160890], [59913301, 73817433], [91336233, 80281526], [44477162, 47382022], [31454596, 41554294], [79619665, 82563137], [90129850, 40806895], [6591615, 1389585], [70186890, 14460775], [15660644, 25301353], [21780853, 54186351], [63535692, 37402474], [98501923, 95498754], [29107411, 18261425], [25689286, 99429745], [90601874, 69575273], [61708887, 51377982], [42687256, 69183469], [77423020, 84571861], [31271854, 78061883], [42933912, 19652073], [5299321, 87679013], [55772956, 92613405], [99159703, 7328700], [48296222, 84088188], [43074631, 50712927], [74755788, 87201886], [3500452, 40168737], [38312053, 7941798], [64662562, 20419151], [64769259, 25826210], [41556530, 90911568], [50228142, 91670610], [54353912, 9937001], [85486604, 93698844], [9572169, 90591244], [69763484, 27441591], [33592679, 36829593], [61252085, 23198124], [94397277, 66919490], [83277000, 30569523], [15268793, 73771288], [63545642, 70175898], [22431279, 79865859], [7731278, 58645518], [61393115, 71309874], [10452900, 97258584], [58426925, 43952313], [52860978, 53657090], [72716799, 48292251], [70738534, 65881431], [46139119, 78282865], [37940596, 22608036], [6694491, 92876741], [11435048, 19269295], [1876357, 86065643], [64335812, 59976526], [24377934, 71494648], [76735236, 78585452], [83703736, 91170636], [38997009, 36968982], [86875005, 3123249], [58924663, 40551659], [18846752, 57723467], [88772119, 7097120], [59157031, 74814463], [30509424, 13977187], [27339032, 94517420], [51565472, 30687932], [47156804, 94581], [38617767, 69760954], [40878131, 26007421], [48992543, 81021951], [6482077, 83502154], [52523105, 91629932], [64239734, 83098615], [50781343, 22029192], [52527280, 8748340], [13131563, 24711230], [48705846, 24436357], [95459446, 61755570], [10200270, 73065199], [17152955, 18903274], [44652017, 98022432], [57983390, 58002532], [45355, 31501980], [17832250, 57709486], [14881114, 85849821], [51326147, 83382780], [23930695, 43757021], [92683037, 33815980], [19791433, 90940919], [40856921, 26989389], [87153365, 79362118], [83143761, 72487503], [90944840, 91769661], [95138172, 49095115], [17113422, 47108763], [20732425, 9552759], [3400678, 46241371], [70503776, 23713832], [77093585, 9376543], [99672435, 7993456], [80811709, 69685250], [81917997, 53543105], [79774305, 96448721], [10598890, 34821667], [5289471, 12873291], [79230115, 29082108], [92360719, 79467875], [98027076, 14566200], [34117696, 85454262], [85042504, 22152356], [62660804, 48258232], [82056557, 43908073], [710201, 50920581], [8065391, 483681], [9103016, 84109480], [53623012, 71509016], [70053259, 67128811], [99107859, 70072720], [93378171, 52220728], [38949100, 44345781], [6064771, 83196366], [36874502, 93828953], [68121763, 11792989], [58040517, 35620124], [85486277, 9521127], [401415, 13841469], [6700352, 24552706], [11378380, 53027525], [72701785, 30065941], [17529389, 15008465], [35243370, 6641311], [53223103, 24421454], [40530558, 85044227], [50323651, 69982048], [8547433, 19937435], [3468789, 19608263], [2184985, 82957637], [40395816, 17155984], [62489169, 18397670], [14961308, 64299348], [41840423, 72713292], [81242507, 31112680], [73025674, 57819139], [28038782, 81872801], [5045103, 28122240], [36029257, 45587029], [70151851, 15789001], [44131735, 65415865], [59928580, 69075974], [78958244, 32886170], [40148557, 3467690], [78492518, 13358497], [93340063, 18147123], [11474712, 6912663], [74640961, 777], [7003013, 88073507], [57932589, 98370511], [31099710, 69884873], [43481369, 19450974], [58891607, 67385817], [54497973, 45400431], [40927833, 37087417], [44739085, 61620918], [52926148, 75902806], [24065899, 34760713], [95233949, 83632268], [80418514, 80007112], [38953563, 40412543], [7341513, 86393848], [78745347, 5215751], [71664026, 23941019], [81226323, 15660166], [69583545, 75304939], [10384956, 49648663], [1225705, 15963504], [64515779, 7479455], [97262766, 48960722], [90125168, 35683542], [54729758, 76019528], [61547251, 85023199], [39339183, 20574223], [99062230, 34717115], [21786110, 32715990], [77376126, 51131909], [49741653, 93457799], [91332400, 83072422], [809653, 44131848], [66349280, 80657491], [6505043, 56796570], [57790702, 67622041], [79884493, 7347963], [15028140, 82117379], [1015728, 41905572], [55736995, 78995140], [55202879, 36851657], [96790933, 68741217], [31479058, 96634682], [29504093, 83233181], [61658173, 52132837], [19887253, 36125176], [49786442, 69961822], [21393950, 91262048], [88547366, 50630510], [77740899, 55854132], [38962572, 15896261], [92708083, 4628114], [81684421, 36439306], [9773091, 13276009], [58382588, 71267559], [95933906, 45831537], [39130029, 75739881], [77057500, 63284025], [99880975, 8823883], [24248322, 78537709], [93688634, 11489138], [96488258, 51201815], [70947173, 61008702], [52913565, 35034343], [67173097, 55845348], [26942601, 94665334], [69169211, 82411731], [89023225, 36203498], [73649805, 67190320], [14693521, 42175565], [78332433, 89391122], [24304453, 66552055], [86639858, 21986321], [86195365, 43246103], [93143649, 84765956], [93773765, 16039098], [28441464, 5392427], [54871721, 58506792], [23824098, 69818368], [82549419, 69866025], [99542215, 21209282], [56104382, 61704603], [41053794, 78555143], [81132741, 42687015], [13941489, 25536173], [74965878, 25035593], [37373801, 87002695], [85365197, 78932786], [94646873, 14197934], [37741697, 71435935], [25111644, 4789917], [70978765, 74820032], [59990571, 27730033], [70807750, 55683240], [60961068, 69323923], [66687444, 24920409], [40047721, 58333000], [79458989, 43715067], [24863353, 94670127], [97695920, 34066307], [50289325, 85417308], [56035274, 27363629], [87618870, 62594220], [67659486, 18356726], [22641931, 71580258], [78904852, 44536898], [61091442, 54588793], [36582184, 33270700], [72523965, 25354629], [88822891, 13092230], [82547608, 44535282], [3685980, 82616265], [95794080, 61766858], [81239958, 81791940], [57146380, 45345459], [32623431, 86727233], [65777599, 30356636], [72921731, 78559426], [81905094, 36161066], [12146809, 71390358], [76843842, 65540958], [23490097, 53119162], [32484347, 16933450], [22465502, 7454529], [51504092, 97056615], [15226494, 35599886], [52399951, 89148212], [27485052, 58946262], [88978789, 82561646], [26866246, 41542126], [14564750, 73899051], [76889162, 68169727], [58143043, 84385057], [70731298, 84653932], [4083729, 68447941], [25043253, 86881017], [44298151, 15428368], [88998458, 51599330], [36704358, 18751405], [62209032, 79620191], [12043845, 11553962], [79328198, 91982976], [8718955, 78503842], [42604382, 39740292], [14563050, 94180447], [93142478, 99737524], [98072582, 31432543], [87738920, 85591171], [67342292, 43619194], [30266092, 81697285], [8460662, 88454029], [28775259, 46218687], [43701176, 59081514], [29395455, 12222173], [13645303, 27239222], [78016347, 94565939], [31635678, 96973258], [48700507, 9269220], [23452485, 12019061], [90640278, 65315585], [99889706, 37379960], [68360999, 40536310], [41357722, 18082391], [30363699, 46851630], [83716871, 75498591], [21236503, 75365594], [60500954, 53307714], [40894346, 56502093], [91130864, 59856671], [73807094, 47967351], [73884420, 49332939], [78672621, 78301684], [91311441, 15712271], [37564195, 3320399], [90464804, 95872697], [35846233, 59982314], [92366306, 47622625], [94815774, 87464552], [56367249, 29171025], [74006482, 92003639], [36720634, 20901259], [74233405, 3596651], [52103799, 20928284], [7650050, 94770426], [35950923, 58005985], [70616095, 28318113], [7879844, 56752610], [33299865, 77767559], [36292213, 20291794], [56610884, 74231992], [33582985, 96750967], [76299016, 91525221], [21212987, 98910283], [22559253, 97794101], [81577601, 65120684], [43514908, 10510500], [37402949, 13061042], [40193927, 89847214], [68562850, 48291619], [41945721, 91744025], [76622106, 49267923], [61484999, 21766130], [52402250, 17228042], [63653361, 5192452], [11838535, 55999161], [77427679, 24212357], [2642393, 44595513], [42768204, 42998643], [98541842, 4516847], [26847115, 91439034], [56984620, 33470761], [85379871, 76058361], [60573205, 26292990], [88538282, 54923674], [94707029, 897147], [89750867, 41925057], [11348274, 12051694], [59407779, 56068359], [16322472, 4843616], [15522386, 9872518], [7450893, 39992], [6955564, 67796566], [62012311, 94519620], [13249081, 95337036], [32400987, 67058586], [63021489, 75263877], [97660245, 96144329], [33381942, 19475594], [17290991, 86620627], [85408081, 50038394], [45593434, 85507848], [92928159, 86869096], [53847960, 67227702], [96875802, 48505291], [24740491, 30931048], [62978731, 85333201], [35097589, 973691], [37221768, 51774670], [32813708, 80193142], [39564852, 82893582], [61053618, 13951558], [61316084, 58822634], [80198592, 37553854], [71890378, 29781233], [38491918, 44558976], [99185766, 7316302], [76007921, 46731304], [98887242, 23778053], [96826865, 40915890], [93978102, 8858847], [32896987, 50586235], [60712755, 4434830], [5586500, 38217188], [63971593, 22128091], [12512580, 83716867], [41739595, 83932707], [13868029, 18180442], [39921333, 49557458], [54935240, 17473475], [11025886, 99111741], [49910802, 33509896], [53690294, 41493482], [22259111, 72488485], [72014612, 29691180], [79807979, 35713473], [11265883, 40199147], [44353662, 18071682], [4269210, 9806478], [81489400, 93954110], [53160011, 8102776], [79222304, 29163978], [71294295, 52405715], [60638859, 5370416], [6978923, 15785411], [28319103, 15582734], [58200660, 54868314], [67972311, 93075546], [74364056, 96306053], [54048018, 82737498], [52533903, 84067315], [50895237, 79804541], [56021043, 67425656], [91468043, 89372138], [67283709, 60780848], [39731496, 10643424], [11436887, 670166], [29856160, 33387795], [34053689, 80110806], [54473089, 59973495], [61604251, 59266299], [11564261, 18637596], [36843074, 27632172], [98403554, 46981238], [15985183, 96342394], [7048109, 12262853], [15686823, 36861405], [57549736, 60891199], [52148188, 25877725], [47022678, 9873040], [83562836, 48714832], [78495486, 23860208], [37098886, 32313886], [12587356, 71061584], [11981489, 31577942], [99516199, 95120699], [80456896, 42911110], [8089354, 81974550], [21065567, 98011082], [27706228, 64782367], [749078, 3433501], [53006621, 53205695], [90212128, 89993194], [7671154, 94403759], [97975619, 4155878], [71755382, 15868032], [7026388, 28818937], [36635391, 92737837], [24812321, 7621983], [51036232, 5522937], [82497809, 24018472], [220162, 40239850], [91210971, 1062619], [79354069, 96547380], [84596251, 25827539], [45892265, 93149267], [42272412, 96173762], [29193884, 7408796], [40452819, 41526605], [15411131, 18725841], [76231638, 44384401], [89518889, 11013625], [86805880, 80262991], [29003574, 53810036], [14344315, 80919038], [10968451, 624659], [87860694, 96074746], [47257394, 19065134], [25663381, 89338922], [62748456, 75916527], [48270550, 37145690], [90241435, 24803658], [26679311, 63898163], [41812090, 78143625], [81322518, 98056871], [98209785, 23114948], [75413806, 36625725], [77181848, 77369582], [32736197, 48867770], [60957314, 17758476], [21652112, 87826107], [90647291, 96266685], [30820395, 62291781], [5141895, 28381719], [46515885, 13654699], [37890490, 96937084], [11233717, 81754683], [88248551, 62211259], [49980814, 92708371], [87849873, 51407764], [3808747, 41235107], [85462076, 83336837], [48833981, 22830367], [91396321, 45843948], [71433257, 70977069], [20336798, 73525766], [40234001, 28467925], [53181483, 6189489], [38694943, 81269395], [92356666, 84797779], [78765808, 88748303], [90422210, 84194246], [82090385, 47473473], [48279216, 80358178], [98151426, 97195027], [229826, 80474878], [24727338, 54899954], [41125471, 90327529], [23564555, 81666789], [54751909, 62577464], [8023974, 2523944], [53170245, 78579276], [19730546, 87351783], [15479718, 13345483], [85888873, 15305639], [85301349, 41474962], [47443120, 22334942], [32348591, 2058484], [36966899, 28286506], [61552005, 45799721], [18582522, 9775761], [51256044, 91897702], [85685198, 41579911], [60944916, 42190593], [59674234, 33924205], [36989059, 95206710], [35239524, 40180640], [51348885, 776307], [99725384, 3482959], [32180107, 17923199], [6151937, 98087128], [42281028, 58206312], [84837461, 29198833], [49792647, 84625532], [35914412, 96827587], [40056916, 87229162], [53541242, 30328581], [41974092, 51503008], [47962459, 46811089], [53170402, 36308568], [53116638, 28749967], [34893515, 56904751], [97430758, 92849073], [43733607, 61199531], [2080596, 2781200], [75449309, 22967359], [81947919, 33582149], [60656957, 28077403], [99292954, 19613232], [9346882, 26150982], [4540062, 28374978], [99407306, 12850186], [98595133, 52149791], [72159452, 80971304], [91543060, 47563031], [99108005, 94489595], [65751606, 85556411], [70465905, 22665048], [25584937, 22940863], [95786375, 89435666], [86912423, 83072665], [76581425, 7548663], [79537881, 85664775], [53587184, 55479742], [92822053, 69399663], [80107676, 81878756], [28446586, 87629981], [20803947, 44159009], [38781927, 27991678], [50864784, 33695089], [16262575, 96356129], [4246235, 87095050], [20448019, 98937031], [22512793, 28971925], [35514525, 36343355], [35070979, 78013712], [56057446, 55334699], [94608927, 5686546], [85279609, 63028170], [39556131, 56394633], [15168207, 1752067], [46224741, 35776522], [72289418, 33120441], [22727716, 80452457], [16000353, 32047236], [78009013, 28284825], [29373027, 14143467], [7642074, 82411398], [36009980, 4542534], [40899771, 20708612], [89407235, 5864651], [11703018, 58450972], [1079762, 57061289], [64742467, 7051942], [48171754, 64887399], [57245509, 39795591], [62893361, 94964778], [86414957, 29141179], [30251401, 51679480], [99333549, 93189972], [24577589, 41219804], [88345176, 92750751], [39205741, 55579746], [97305624, 3076303], [76964096, 32290236], [16009402, 75270008], [28508149, 61072219], [538801, 49641218], [95462924, 24221404], [73406815, 64587969], [99097817, 85901759], [19579025, 88813160], [57924288, 55623508], [2282277, 27914366], [73874149, 23279448], [16947433, 10664824], [44395260, 37590918], [78441893, 23909229], [82018671, 13860002], [15694394, 47608524], [57017561, 96353789], [71946072, 31705201], [86432120, 55138526], [18935388, 82214287], [88144240, 71973369], [97817623, 72831976], [79354150, 24396940], [3680614, 5479232], [68149995, 14329255], [98222475, 13488514], [46416076, 91802955], [58858544, 91694856], [78031986, 87882357], [42237325, 45428435], [34970062, 67268505], [33446624, 53353172], [1727184, 10055368], [1914385, 95493620], [99805177, 6083095], [49690706, 68059246], [33389907, 67404541], [25636078, 40268079], [36409602, 90567861], [88763728, 41669367], [11135964, 20050459], [21082731, 4511923], [83162705, 70720970], [50988422, 86026380], [90543142, 15220115], [35652720, 67678398], [79351150, 62035468], [71692257, 10969864], [24991592, 1834431], [57839797, 89624596], [18896128, 80161029], [1317199, 61062502], [17489837, 71413372], [74018704, 63139638], [45021596, 92490438], [81148951, 65194748], [41163026, 50656673], [83367952, 36499426], [81631113, 56174812], [20542225, 73683848], [77022894, 45206223], [33705926, 94139681], [49676897, 10624165], [45338105, 15209520], [74794732, 83969714], [73012985, 94612717], [70311192, 95917029], [6413686, 24221279], [82480980, 10848502], [82652897, 63988275], [99651827, 14455323], [36122159, 67846626], [29937111, 46225907], [6984042, 84070730], [63800399, 80266009], [30839283, 35405531], [70580283, 33187486], [15120196, 9534985], [52034533, 68663181], [80711359, 47758479], [71415732, 38874278], [18264482, 53840628], [35669950, 99904446], [38882408, 58174677], [39553677, 51110742], [62062466, 56229791], [72088759, 96446958], [74807513, 62311292], [59589706, 34541930], [12163652, 56739058], [1520305, 59578499], [43183495, 61377403], [66162637, 73271359], [97914223, 84766978], [72784909, 39916581], [67072696, 98857989], [19033906, 47658493], [44876507, 55588471], [60268013, 65633622], [62406915, 74503314], [82008684, 34484758], [92483853, 17394228], [22555641, 20988495], [53361541, 78202113], [24166963, 11451781], [88994873, 18639042], [91125668, 150587], [89112943, 23166063], [57967605, 49413842], [98983785, 25387612], [3199257, 4010233], [92855830, 10450800], [37660142, 83573019], [74032906, 27250197], [49374171, 2532518], [98237002, 53104044], [86149369, 92787530], [58671319, 85350930], [55950817, 80692684], [78778249, 53518324], [717822, 65706416], [9163006, 96241395], [17109572, 85321899], [71073682, 88587217], [97500047, 32365305], [98495375, 40487381], [91192661, 3192277], [78049576, 62715326], [1700880, 6868811], [21518850, 65703987], [48549207, 49183941], [23508450, 88774222], [46417251, 41174197], [60186175, 86913803], [44412119, 55440357], [23256676, 11726789], [26061586, 88837682], [35725124, 92341709], [39465060, 22584991], [52006304, 23142247], [45589420, 33243036], [58785776, 33066222], [20070618, 44642266], [20301043, 5905737], [33944142, 57264026], [67840572, 16535669], [28625454, 71259599], [76879648, 37789899], [10621526, 76067488], [25497824, 54364213], [9506892, 49934761], [94223920, 92902608], [63811145, 90008208], [62980899, 34064403], [50341233, 15816602], [31812363, 49304810], [7676308, 74277694], [82252851, 14487672], [530179, 90120097], [38671712, 99183957], [66025959, 5728558], [56800915, 76135646], [35380704, 60943472], [16696750, 69674947], [64282254, 15460971], [31289907, 99594957], [15142473, 81356003], [34183300, 5088594], [22139481, 32275085], [47612357, 81863314], [30797972, 60260476], [38180999, 33564478], [72350245, 75588199], [34620427, 24706579], [63996626, 36266100], [36313051, 93606613], [33217989, 93111537], [52704611, 55681098], [57224189, 74953282], [22330952, 96787029], [53260666, 81465146], [64249893, 29582616], [72134000, 48999898], [97876370, 59777683], [85949017, 70696335], [30793386, 96521380], [94270846, 70496404], [92181851, 21949196], [10454709, 12825878], [93672395, 31014905], [12029100, 17495315], [18227766, 41629298], [98706972, 49257975], [78730940, 72115549], [74187429, 84054151], [91024049, 18100989], [70396216, 18852610], [63597312, 84488604], [74120703, 79667153], [43543660, 41148291], [75766528, 47266437], [90884551, 73685267], [88779007, 85055566], [18641552, 27637628], [77628684, 41087841], [10430036, 54257407], [99186909, 20246812], [75711488, 62979466], [95347989, 60605403], [88548165, 44600495], [1996092, 9673550], [20046439, 72664050], [84678104, 40780356], [12638873, 34139255], [49692680, 41476847], [98391831, 82911718], [76396060, 68938473], [61843697, 73233262], [14037747, 26326592], [16805566, 10654937], [9862969, 8792429], [62578955, 32497771], [28768760, 13850023], [58673512, 38206091], [62665789, 29538266], [13494372, 97151975], [73809329, 2904551], [34054373, 85445961], [59908961, 74594876], [86834279, 68334315], [84579815, 70804669], [46241309, 51508821], [76612936, 62492009], [53344492, 3504102], [89241333, 74428891], [38983989, 91886421], [11977618, 72811543], [38653055, 98007575], [36048965, 36000097], [5152844, 58190548], [11542875, 74813275], [68880956, 37253449], [33860777, 19531164], [58954271, 5673390], [85528066, 17671459], [23694925, 74657844], [67539369, 62669909], [46879150, 27894763], [41519657, 25810257], [30354105, 41760183], [65703334, 94926646], [92985510, 5251399], [2278306, 85484737], [77936611, 1701241], [76143969, 71463275], [43937875, 2912175], [71006483, 51187599], [20482739, 72770230], [95048775, 16471842], [53404067, 86150573], [37239819, 12410069], [80026772, 87612048], [56638777, 72827206], [16438642, 40062751], [48011256, 68603820], [18309122, 4364674], [55177114, 94890301], [10411075, 57993738], [46002412, 12751190], [24861908, 37559736], [79578978, 29648553], [87651510, 94437231], [56501173, 28694067], [14216344, 31925598], [73878272, 35239746], [18696594, 62431728], [42891324, 43233806], [8027687, 58606813], [89902615, 48194351], [47156912, 65981530], [6625707, 60727578], [99642869, 73850111], [58480340, 20343988], [68081648, 57974572], [73574282, 58890982], [15495587, 50268772], [95303485, 1427772], [17058741, 86218804], [48007408, 84597837], [3824360, 68018308], [27895135, 85568555], [91010050, 60233061], [54796580, 14187527], [24741221, 31729448], [73056374, 9052558], [74885035, 97818617], [1413580, 72679688], [85906910, 86019740], [36608795, 36065289], [13054970, 99491242], [58915987, 87829221], [39514687, 94308865], [28555640, 49531722], [65584938, 33935559], [94103504, 54001980], [93150459, 46045549], [31775546, 81113356], [17980133, 22792479], [48857354, 69974147], [71514325, 71276033], [99260113, 81055756], [15534737, 1258487], [88863608, 85396541], [66575175, 74356879], [49927838, 83529492], [48605584, 61592160], [35683017, 87968893], [17212940, 21181524], [39538350, 41518284], [2501230, 55299378], [40586167, 32581402], [26460627, 98474672], [46659463, 12852703], [15612613, 94935439], [63929667, 20742587], [14141238, 48584619], [62753225, 410674], [38566116, 55802749], [74510206, 90413909], [92185817, 42040540], [97451229, 83965328], [41654383, 76482808], [39766243, 59307818], [14877089, 33144414], [47721638, 66325259], [19091202, 1249550], [12716885, 20436846], [69921326, 63072042], [87752411, 2918943], [7233384, 13327874], [49611329, 44623337], [71996442, 51975041], [31890439, 44182100], [2648427, 41472124], [58228727, 27831065], [18143170, 87096777], [71115942, 91089666], [32773063, 25702134], [56578018, 76026657], [6919289, 96000205], [50968381, 12045623], [71241817, 23731747], [40927629, 21663900], [60216800, 23308413], [28101319, 37514028], [45076739, 77588068], [34522429, 15936127], [52582734, 49104661], [78738750, 19995811], [11972817, 71646124], [4515141, 51072197], [10532341, 87431934], [18945668, 25193240], [65066127, 73058558], [9450465, 14933634], [54323441, 23326678], [88733174, 59691181], [34186525, 73210343], [10032940, 28535411], [56186943, 32927285], [62960933, 18602692], [35319472, 84409082], [86749194, 58035084], [7571753, 3200855], [60633679, 68789381], [71813488, 28064934], [13752585, 57887071], [51910351, 40780681], [97297826, 72370991], [42849450, 37416130], [18842418, 69950411], [66011233, 78584819], [585445, 30832782], [13430670, 62538049], [84760358, 5567234], [38662126, 39890379], [22138999, 7904140], [30806160, 26724763], [42337247, 95904413], [20483642, 32808595], [86672950, 63852456], [48243759, 43762329], [48236571, 6187305], [340769, 43154073], [52577379, 13616640], [77895921, 28515848], [97765927, 56383261], [44258350, 8324780], [3503080, 71996463], [31488296, 70324456], [11894118, 4473294], [72934439, 58844666], [29146327, 74618600], [13330693, 56738286], [96572279, 80860774], [87439389, 68855256], [38758535, 71688126], [18736671, 69246033], [78580651, 62670920], [85287527, 86282734], [81652458, 48623391], [93329961, 80136968], [60756864, 73553646], [74357852, 2062395], [80029695, 88910484], [99313244, 78515575], [47549777, 41611658], [64928996, 80122895], [64356774, 98101212], [76674903, 3501762], [29358930, 36126797], [78740477, 81403905], [2041190, 58287927], [53081556, 30966447], [14339738, 79642162], [92239760, 81098695], [95971081, 92704254], [98005562, 88399196], [7476830, 29259856], [46337982, 58093221], [7743961, 54366523], [90945394, 9900754], [44910352, 50859324], [40679417, 38214223], [58528680, 68372016], [39638929, 17087122], [13293584, 45334136], [63821390, 85534566], [46020715, 40968235], [73371366, 1404737], [1508578, 93166108], [38963397, 86976068], [82444262, 4655875], [16925893, 37344809], [85479759, 39609867], [1778510, 20566884], [13362192, 70403349], [20025884, 34397523], [28378394, 1926854], [27957888, 87126130], [61387418, 18698029], [29649066, 92419386], [82394648, 95498135], [80902268, 65869357], [42487297, 71670844], [60786746, 42824727], [61810837, 35723318], [68146864, 55198929], [5724820, 41440406], [23307117, 74606280], [25665909, 30380639], [24194906, 99051047], [21032313, 44625105], [81492011, 24570526], [36385236, 39154381], [78107119, 944147], [21530949, 34673823], [23174284, 20026774], [15561115, 70363149], [18305879, 36189814], [23449167, 97096945], [78849731, 38211350], [95946653, 70768782], [61730534, 67468759], [59227500, 74842079], [90329505, 71753784], [70663986, 67703523], [77023973, 34159262], [42919145, 23322677], [57817485, 75533428], [34833538, 88279823], [52059088, 28690614], [85509625, 59390212], [29039801, 22084453], [71659529, 36473005], [1847353, 87004190], [95228533, 13723313], [62063585, 14908365], [38249216, 68707622], [62100950, 46203635], [84954756, 43350259], [90028014, 52996934], [27511265, 20001266], [38870805, 18900640], [65210108, 50571303], [68030001, 72535763], [74042142, 89288], [79193604, 55757702], [76097021, 93306838], [31405470, 30909081], [52951438, 21443120], [16122143, 23710501], [54305180, 17698530], [19767437, 46271618], [92408829, 55457624], [85885435, 68108897], [11383923, 92832009], [84433553, 10711930], [95293378, 2840712], [7629508, 63879697], [78372072, 17435258], [10482740, 16377], [32138749, 28083344], [24871947, 65192823], [60139279, 95294305], [3368487, 41237954], [66658431, 93993062], [36829415, 38062542], [38912444, 46856037], [86181983, 34928698], [13417078, 75016314], [19355654, 443976], [10885442, 95996062], [72169919, 32053336], [89382742, 45961903], [91902239, 40398535], [95450333, 60177895], [93791190, 39489067], [26587349, 62409972], [88774015, 92445073], [57913765, 74148920], [22923199, 18497332], [90808951, 91318446], [94876149, 83898308], [65736069, 11683786], [20919827, 49163390], [82533669, 32167209], [7088631, 74059646], [15524887, 27738146], [56296075, 8944754], [40282417, 1468865], [68596320, 12466612], [13627712, 643502], [72624321, 46565796], [80018518, 63536595], [86631932, 67847150], [46292923, 16921866], [23419906, 46085375], [89703217, 28207411], [5460158, 47094824], [84867802, 70067804], [87223338, 2592669], [47400439, 4231975], [80575295, 60691554], [77014043, 96742553], [47297994, 92229325], [5126947, 19156102], [94642152, 1700523], [56294215, 46667185], [58619190, 23729008], [65911422, 87468027], [94905491, 96608214], [32958138, 86258451], [56932563, 84054192], [34142712, 95201241], [78380695, 53850576], [12502818, 77331261], [1831394, 20402174], [93819950, 33942460], [47095917, 2671230], [18481746, 92971506], [61404889, 97196167], [97801402, 30431139], [97437927, 87526883], [13734962, 87149369], [45560697, 15398022], [1021965, 48167605], [97529889, 84046610], [56123406, 86796140], [3184960, 51180398], [24835031, 76478265], [63062579, 72126866], [28720267, 53665854], [79677372, 60631381], [41634124, 22626080], [637680, 88837464], [69141984, 99151509], [85777472, 22616737], [71057471, 99022941], [29442757, 59588288], [77090251, 8169250], [34051184, 31608251], [6237578, 78879876], [95952452, 66482334], [4973496, 67858933], [93140097, 15341317], [79266992, 48370688], [27569954, 12674008], [83557122, 72936767], [66710124, 32280718], [49268832, 28390021], [51485003, 7423832], [62569638, 59807883], [23621976, 16619057], [12080385, 11881012], [5606709, 28954329], [72170815, 23436764], [36086596, 94437497], [77413457, 75583524], [34283112, 46783723], [96399004, 7082328], [99102769, 28741855], [70871052, 68478022], [33689818, 41738748], [38014052, 61287553], [80114774, 4591340], [13174867, 82115757], [74831646, 66064010], [28946551, 91681260], [69495852, 86765213], [40618098, 56496766], [27538896, 89349369], [26856953, 57462954], [23602227, 84139798], [91550808, 5157515], [85666654, 61410817], [65260348, 35502157], [26962235, 23031387], [63775419, 15691635], [61747074, 3698446], [50677303, 27750335], [54726545, 84547855], [32234392, 85402206], [2575680, 21371098], [51008765, 36191706], [32278663, 72616019], [69008390, 63151725], [69550573, 72882440], [562374, 66628350], [98375068, 4672311], [50797938, 92935103], [33043025, 54091170], [24791639, 32715530], [29614859, 85737189], [27139079, 45655601], [18965219, 66224052], [77889454, 17271926], [7969999, 40507170], [53985628, 65527859], [79191394, 27824329], [11245620, 75012820], [99871491, 96669756], [51134824, 14674038], [84294510, 61601950], [61257480, 15543417], [35628004, 87296433], [85584140, 94163339], [37662878, 37145254], [52944838, 51220699], [56281617, 63783577], [15896883, 30141477], [74245563, 92633634], [66859301, 59378349], [77580214, 97876685], [51465699, 50689656], [85614361, 11565403], [88784080, 65152722], [10208129, 28555751], [16374748, 44657540], [47693163, 80426142], [27365816, 38840573], [94811393, 18224728], [8539412, 58863053], [62715369, 4085041], [29872789, 83328586], [36663471, 40582374], [37614204, 20812642], [50054057, 40666024], [93173569, 32846906], [34972431, 39762993], [14730926, 87008225], [8896044, 66011542], [77347304, 86574884], [38660399, 49471432], [56514750, 49807954], [26641905, 43736819], [76966652, 78085635], [65238788, 27841220], [36595033, 2095485], [50995446, 49647330], [44724157, 87674385], [71282915, 65744015], [5226291, 39574302], [55362188, 20938996], [73414952, 27828036], [87223621, 84369754], [19555872, 52586508], [30667028, 65694109], [97409846, 10912463], [22941043, 45710529], [95362098, 68753087], [92014409, 1327098], [36949808, 90342087], [2480068, 64657556], [59572499, 17394118], [44178217, 57112566], [36100085, 21397352], [39948276, 89316926], [17224337, 39087027], [84199401, 13564601], [47276319, 74737380], [49328059, 95650334], [33962727, 49075212], [60918845, 88136747], [41131711, 98235331], [99819497, 83737819], [21262663, 91254123], [59853095, 17724458], [95917273, 1705956], [2615545, 49292490], [24054595, 37690127], [57690330, 57788541], [21502034, 62726772], [2878857, 47492623], [27516860, 43166696], [56088348, 92422065], [92885227, 2942724], [2276194, 43754876], [29835609, 87793859], [78287595, 11559029], [38221945, 68261965], [62927549, 84501324], [68511386, 37045878], [7743994, 19765923], [85663919, 96492045], [52341733, 24873224], [19606621, 75196545], [1113312, 536946], [3323088, 37415665], [42700558, 19191774], [42728451, 36023482], [86092654, 23848398], [93007522, 6841857], [23188168, 1857659], [62728042, 71506432], [9836851, 6011297], [73536921, 83061950], [89364506, 32048192], [4834664, 23903447], [20838170, 52649153], [34032470, 36831726], [42281872, 14970766], [19762808, 66327770], [98436395, 50997963], [1974224, 83399989], [27622023, 37870711], [46346337, 95357294], [40948441, 44678085], [39124775, 52536010], [44405, 58359813], [99965225, 65531824], [46411515, 72679875], [44300211, 65361825], [72192726, 41090796], [53214971, 76123648], [27412053, 43886978], [61785407, 58905207], [52120932, 3004425], [18764616, 14888063], [20473517, 47711183], [31912225, 21740367], [44475813, 36374134], [39358046, 99660819], [47834926, 13189184], [62463594, 43142515], [4149630, 98915775], [81333575, 29358856], [1367523, 34205387], [78930424, 85276229], [16991291, 77215153], [78840025, 94936019], [30795481, 66388496], [804383, 49338363], [12856347, 33421236], [38100298, 65132063], [49438543, 59015050], [93053318, 91453230], [30954155, 93638329], [56864866, 31512435], [57106074, 7370742], [88627207, 99117290], [35358355, 89468389], [79493486, 45124047], [38842617, 96163887], [83139121, 16558933], [4027468, 87477395], [29131759, 30972796], [83084435, 28826474], [55992256, 19436955], [84616721, 27711863], [10721422, 58903173], [99251888, 63205716], [3216067, 92451407], [21978618, 56644498], [45248892, 77000109], [45903789, 94037196], [8369735, 96304746], [71763714, 96289919], [3139383, 38252411], [68783875, 12046680], [34369673, 64793743], [51820404, 92834351], [3547148, 25297781], [19308018, 9725496], [22919371, 82467154], [38224937, 76082133], [92232410, 68471578], [62359356, 88152640], [3687408, 16307053], [27076900, 154642], [87286545, 19419155], [63743690, 57342410], [8754824, 6281465], [68814608, 86239421], [28922808, 48504286], [28543244, 15142105], [40042625, 84055484], [59116412, 93211899], [20456857, 8165509], [11264711, 54274066], [14607576, 83803927], [80176193, 54910985], [58295194, 89020413], [73811133, 51599673], [90018671, 3450574], [69537927, 35559285], [28639596, 33054555], [99063926, 2867074], [65732059, 86379808], [60371535, 83080082], [24844458, 4542147], [12467834, 73275069], [39604433, 52697393], [25429268, 58405258], [92656963, 20617825], [29175549, 31167946], [63089062, 1746960], [48200819, 39185579], [12711068, 75433966], [90314743, 80058297], [64900075, 97559837], [22327406, 33168289], [23455630, 64794385], [85318876, 86644373], [15399261, 88494508], [74913805, 37982522], [1296523, 1760083], [11572921, 74548385], [97628492, 53347719], [67548724, 28383863], [96236816, 35548024], [78523033, 43449721], [22673685, 25135377], [48457616, 78919705], [80329346, 46359568], [80129628, 88738038], [39077179, 3886028], [21909277, 36739384], [46429146, 18261194], [57489330, 26140598], [71391328, 75279039], [28222293, 21922942], [82879756, 73039820], [86447214, 34443414], [11453321, 88595506], [75358646, 38686361], [39161040, 66296193], [73159367, 84753138], [84748877, 87694934], [2490649, 54212289], [58047231, 86045394], [3282829, 11599943], [51625175, 22403089], [68082459, 73444925], [7068849, 82129853], [35494172, 25604174], [90583370, 64335279], [50799110, 4990759], [29792415, 93493848], [63625473, 60345831], [359532, 78606067], [24218208, 83865586], [47422272, 89407904], [77327589, 66320347], [56186449, 60413030], [1174435, 29631756], [13179420, 17714297], [13131005, 44778575], [83985949, 22872599], [83391373, 64238612], [84994247, 52302496], [41363182, 60537312], [51965711, 37832102], [71924566, 77681993], [10428295, 84158569], [52784803, 80602881], [54036512, 93370690], [72516660, 12512317], [23616221, 22595838], [70228396, 45111861], [42516351, 53129601], [21579354, 38618988], [58217428, 79812107], [78744987, 47233039], [80326095, 88217847], [12275625, 34515614], [84986174, 71121724], [48536862, 29696664], [53858306, 36059146], [68790180, 86886414], [8680080, 65192175], [99872191, 6135226], [43730513, 69438660], [81352382, 72454422], [9363834, 3666027], [62503803, 87539239], [80832346, 45806480], [26613172, 89769697], [54700036, 50795095], [85615560, 47612173], [67098822, 35796465], [48429499, 5277754], [60852915, 31753656], [81178573, 53537627], [69932579, 30582043], [78329994, 22973336], [79391424, 89850668], [24708245, 40203485], [94677923, 67582751], [44928044, 41804196], [55424396, 74962852], [79542634, 83116185], [8953735, 15236544], [64941325, 38548929], [52792214, 96657447], [67713148, 35589945], [36876665, 35158313], [90872616, 82414150], [82322985, 56705242], [92068667, 67042153], [36651329, 89232750], [79024262, 85343943], [96964848, 52870466], [2408878, 16156655], [86251173, 78693242], [73634954, 31035360], [73024091, 18034462], [31678462, 95460883], [34432986, 80542822], [33739171, 28309158], [60198284, 12604000], [31628022, 67387076], [51435794, 58704688], [5218105, 43946658], [75475971, 36642894], [42141946, 39507729], [75801237, 5552524], [75002263, 98588569], [19567471, 31913310], [49907594, 51967714], [56030622, 24182929], [18823679, 64693100], [56487611, 80926375], [49769002, 80848844], [79495906, 50161960], [9683586, 79516721], [65947078, 21912997], [67696499, 62920608], [79916410, 62845904], [80358551, 89683762], [48131106, 81039753], [72701970, 73695918], [20427019, 64243621], [94043104, 87372271], [48885543, 76607196], [50812368, 62280893], [64120972, 55115494], [11649073, 75991025], [16209045, 68318731], [96810108, 69836079], [43538237, 61834990], [47302244, 95754346], [74893538, 64921158], [12737223, 42842748], [46846070, 64966991], [45794363, 15541943], [72868043, 55940911], [84971313, 57084870], [66201159, 24287495], [42044205, 55281295], [73633332, 52559658], [73796254, 78546805], [56020115, 42041450], [55349959, 52288863], [85936415, 54031566], [58635786, 11114907], [39931047, 22388879], [17065634, 63323620], [94588095, 64460377], [67342826, 96423939], [16191598, 37523771], [9815795, 68557479], [64448970, 48549299], [36296259, 68008645], [51353513, 93007736], [37954615, 55943282], [72781585, 68088028], [54784758, 23183293], [3513714, 41175406], [80349305, 89269121], [55760738, 64489424], [70234782, 14611810], [25659925, 87532836], [2064837, 8487451], [91210214, 89372132], [40054166, 75505183], [10519211, 8731224], [97745720, 70165468], [5939254, 89447596], [15554913, 67900544], [15298956, 93753058], [87637933, 67152896], [93484699, 95963698], [16757812, 32774016], [78412277, 44766335], [24824655, 33338323], [63693643, 94265184], [79486047, 39748269], [46350326, 31048758], [11426330, 71816281], [37396643, 5883239], [83971836, 90779791], [98662276, 37448911], [37993108, 69767839], [80663509, 63938982], [45726275, 56190708], [74460600, 96052567], [6161131, 61837250], [50005338, 1770466], [64681366, 12951105], [54487900, 11395578], [96685605, 28448939], [79533522, 94143106], [2284259, 33685681], [8975196, 24139649], [89482351, 34981241], [20781230, 74780953], [72817585, 78414056], [59203106, 97603272], [76255202, 64201420], [19707104, 74711151], [57634508, 88551283], [15193683, 39484952], [92018663, 42533843], [48845728, 53821812], [31481849, 94872345], [55000516, 72682662], [80263912, 39010830], [20316815, 90266001], [64622494, 86801535], [9047890, 88376880], [63116977, 39532906], [97056367, 90790355], [52203341, 96791403], [7246135, 15522299], [85502066, 2568615], [85454340, 36466068], [15334970, 8336671], [27395013, 94333163], [39379723, 91502501], [51228930, 22355000], [63115261, 36073726], [45473481, 76073078], [29253713, 14726358], [234636, 16991856], [61549070, 17592842], [99685215, 47357936], [58839879, 68159115], [10384852, 82954936], [81293281, 36261432], [84550503, 54416256], [28598824, 18648663], [8845354, 71451747], [15386701, 29967658], [63289037, 29604662], [1095092, 7075521], [47287989, 32149858], [54743591, 25580699], [13492779, 19861910], [60281997, 43031129], [55117641, 39886120], [42612180, 8654649], [19266420, 76056552], [46803092, 24044415], [23976053, 11518398], [84455422, 69440206], [29077288, 26429645], [68257026, 81850520], [8798590, 53308330], [68280454, 73659502], [83931608, 53192401], [99831532, 25962565], [38554605, 46589725], [27787368, 2205536], [57578390, 23225447], [79552323, 22993176], [24300934, 57636421], [76370285, 77516533], [5526522, 96515565], [10938484, 95364985], [606350, 74054992], [90049000, 61875303], [74187090, 67709177], [6732011, 93402446], [9691314, 51583320], [16636011, 20760348], [20847637, 74169477], [91382210, 75082548], [30253717, 606241], [65189699, 60030205], [11776588, 3771576], [38905568, 52146913], [28666455, 28548091], [20944200, 13836709], [20760714, 84291970], [94720444, 94546272], [38560542, 94507744], [62810037, 11593703], [89516557, 56218714], [8254879, 15188974], [88367107, 81967251], [48498677, 41638691], [12530603, 74626877], [31458694, 28249372], [64272485, 19126647], [25235841, 44079202], [36823613, 1512101], [16403231, 50610692], [54619466, 32241471], [4446362, 39651066], [56388077, 19741588], [79170811, 88789290], [53383032, 51080893], [79639295, 1223864], [71940780, 6586268], [8975208, 92863410], [25372904, 56830301], [652167, 76178025], [59762950, 25298599], [40588413, 46222133], [48762405, 14907538], [19465960, 85195479], [91838759, 96236005], [31104000, 96020949], [48360424, 31512561], [19262995, 59771665], [84295790, 58913638], [2460266, 86790246], [45731568, 11346992], [5074965, 97876023], [50934976, 47917940], [84603999, 11708843], [82232425, 3428372], [19227930, 34774986], [22776736, 18719378], [42597053, 50241692], [94800608, 49407203], [89752728, 42880128], [20177674, 56109789], [56092327, 79116251], [23035151, 53559895], [37828729, 89228119], [3857674, 65163964], [3455843, 77175327], [22553631, 1669856], [31249712, 32175225], [9588375, 53365245], [36486975, 85488667], [53794384, 33372357], [63829962, 67718847], [67550312, 53457118], [40098204, 84769477], [85672369, 96032478], [95922526, 1262275], [55601004, 92941884], [66180452, 73120350], [89507787, 42974617], [45359077, 47006632], [56626799, 97157409], [2819739, 58619109], [73917115, 9513797], [45420771, 75647795], [18949989, 72115170], [20027844, 58320338], [52503258, 42799968], [15443513, 61021802], [13718179, 34443279], [35822955, 55545391], [8040658, 59539777], [35413529, 51308868], [77069032, 31299218], [26048884, 34831620], [50653332, 79863349], [19589760, 72799093], [62251298, 49265800], [91966186, 52141362], [17977616, 38877789], [89398005, 40683102], [99554819, 74534623], [52276341, 15271064], [69180581, 45683535], [96680716, 4850745], [87308060, 18779230], [32659410, 67835766], [66807015, 13436717], [50536045, 63924423], [91584872, 42534966], [32573334, 2622766], [13873916, 27337805], [38274847, 3946913], [77283684, 31909922], [58514941, 3851419], [64524697, 98519516], [66204412, 51390815], [54784464, 67120959], [30521414, 53069492], [94318653, 50863872], [60048350, 88074221], [13599750, 47058823], [45257840, 89818304], [60929269, 12073341], [16486078, 88838195], [50173924, 50100244], [77162743, 46985234], [98013590, 28291031], [43434874, 49393091], [94376105, 62647151], [42316482, 14578647], [92976669, 10858711], [16055417, 30504035], [96215885, 3182398], [80862539, 94524050], [95436646, 82941923], [64316624, 20192031], [70175494, 71939655], [44356066, 69673113], [18165684, 91367285], [27050714, 77838417], [83846337, 88248433], [62671444, 74152488], [62167053, 92264674], [35455797, 48387060], [31772847, 14754990], [29910439, 94104144], [5104362, 84991752], [69724848, 64432708], [37300497, 93800252], [58757233, 25765606], [60393421, 1375264], [33307310, 7641907], [62127618, 70573955], [38647667, 87627265], [13592360, 12099868], [24903890, 55016209], [49695595, 54108065], [97091485, 98075578], [98836598, 52387837], [19660779, 9128635], [73652297, 7889261], [51370186, 87618319], [81955671, 10614807], [96875844, 29641375], [27452182, 47199188], [6624991, 9717520], [91002607, 37455992], [3078594, 81096322], [39402610, 89359144], [30481467, 1526159], [7238571, 7432705], [19918704, 5629767], [35115183, 27791804], [29981453, 87428269], [67176136, 15567605], [4371211, 77516220], [99546017, 30512230], [27410670, 7136864], [68353729, 88552989], [54446227, 82864327], [15582531, 67660821], [18796190, 12245850], [79709219, 7731853], [59713609, 85048575], [99835176, 92315539], [51119333, 27457304], [3850653, 70052916], [18808725, 18687617], [50428732, 27874556], [70243173, 33507027], [12581893, 45679576], [73100576, 54265822], [68061032, 17930013], [30921015, 81208542], [63469647, 55393485], [31870720, 76209328], [45940746, 74991710], [45880612, 23536948], [15381554, 29907519], [33235531, 32704374], [39488379, 75140084], [46894743, 67729323], [70391636, 28133957], [4286114, 70530986], [62260228, 27116388], [27133380, 61819227], [93342202, 69057048], [72628410, 10904720], [75728586, 13586402], [43255471, 98115062], [94821226, 57723986], [16539497, 14513601], [66239364, 93641744], [4517270, 37280883], [96203837, 41401780], [3041904, 61691494], [9626576, 92335593], [42233386, 24268600], [6556415, 10960444], [64991771, 43653421], [57506099, 18001001], [63130799, 41682875], [52852460, 30955276], [50589798, 37651749], [60044902, 74200569], [33815907, 94046579], [27242843, 6569512], [29839575, 52934490], [35456406, 33157807], [47552226, 42194123], [80151756, 38285218], [36077287, 2854185], [5931234, 95903346], [32756307, 78446095], [50428844, 31508938], [16037326, 48765248], [3233409, 6343805], [21534537, 33135527], [44291681, 58327903], [31634187, 97574660], [76105817, 62566434], [46681698, 11738635], [24918349, 7380686], [35257079, 52191204], [86726321, 31241773], [35568413, 28165699], [8920159, 66739928], [97854200, 12313769], [46279603, 82857379], [68870081, 73231870], [56247161, 48871443], [44546274, 26675411], [56201955, 54046071], [4872525, 13111048], [79478084, 45568321], [80967871, 15107397], [60359357, 93482536], [98988079, 93195640], [27640535, 38822701], [37738026, 25919078], [83562133, 90618172], [67928966, 22804377], [64388168, 85895348], [84908782, 22260334], [89072577, 35499018], [94124954, 11466523], [89487185, 26800805], [78803126, 73844763], [27715729, 42290310], [44000278, 50257157], [3528502, 53517881], [3307251, 22524975], [35965626, 80327175], [31288072, 16203250], [76485814, 19741927], [92308799, 46582639], [65532590, 95878795], [35668379, 5227889], [77924265, 28840404], [55325791, 28262726], [19920907, 33607013], [78352963, 81607693], [71045519, 38227038], [3245781, 43731009], [31465902, 43173073], [30714585, 78570752], [98770932, 70814506], [3966259, 72856909], [92929712, 28811770], [44162949, 40900542], [31499825, 65517933], [65736232, 11372207], [7919558, 90477439], [48786522, 67004365], [54182044, 11547097], [13001134, 31390687], [30197257, 10005045], [8231428, 50745188], [67243885, 82547508], [32590722, 92677553], [49792807, 63795188], [32161805, 71412129], [81316191, 67004846], [91569174, 87495285], [58006228, 59907520], [62018522, 19496006], [94279586, 23912240], [77873796, 73003445], [86735807, 33820325], [21006581, 19906238], [58316041, 36974402], [14959223, 82503077], [30359773, 90668239], [14252356, 85581016], [90583447, 8761002], [83925230, 9067696], [21033380, 14863858], [23352528, 82759749], [6090697, 77800824], [18014654, 84699918], [55430615, 40044128], [92408497, 87231465], [65354460, 41466030], [27136821, 19346567], [36300692, 28769489], [49430713, 37425872], [86273049, 52885990], [12472202, 41889101], [32201556, 8969656], [21180404, 20816842], [72667147, 59255455], [54261841, 89979037], [30155124, 99134037], [6870044, 63118152], [19956477, 2056411], [23933715, 12057950], [44183151, 74719788], [3356299, 90568957], [62185589, 7683264], [1570025, 98025838], [47885683, 23747362], [24169301, 88857646], [89903143, 31601376], [29775426, 59462311], [52276406, 11404192], [21223170, 8438552], [59840933, 4229479], [91580808, 52139623], [95264904, 31901987], [48351853, 30561234], [41150610, 73474934], [6009726, 92753409], [23068927, 74604455], [68896416, 37911539], [98639577, 59678547], [36079046, 67742818], [29765285, 10314251], [42326665, 22221988], [17355783, 99763644], [76203969, 97030769], [55615171, 34219267], [26654986, 28231937], [60326224, 89822035], [67112096, 71349293], [22919078, 284829], [70199727, 76989438], [57771110, 29752549], [1336821, 66996765], [59921564, 8912325], [90665607, 51689851], [20457905, 68924873], [6394815, 49836887], [53798608, 14432476], [25476640, 63574503], [40313751, 7498989], [22772799, 80325342], [58575246, 51334993], [85422423, 4264885], [41712366, 84329137], [60391209, 78973669], [57552884, 68196902], [97257643, 33794195], [26265084, 51794436], [96216860, 57351596], [83910774, 11635104], [46300187, 90727989], [91430283, 18456133], [17799549, 30880359], [77651367, 26525731], [47559607, 4403088], [55583133, 31297897], [75495889, 39093765], [8829271, 15945667], [96549817, 96649753], [16335454, 39806673], [40893883, 85263320], [41159552, 9806040], [97178047, 2503995], [98359284, 24888575], [99407872, 39060445], [32616145, 36761279], [84916668, 4617142], [93768042, 91560160], [66956378, 7222877], [48522826, 20989138], [79950765, 3373164], [77242160, 84495602], [98608284, 83314246], [63247075, 60525448], [46019495, 45917957], [55671845, 97709062], [56535699, 47902149], [9287983, 67103888], [13528684, 82474491], [11566067, 52359829], [72192586, 6719584], [54986453, 40722380], [13832788, 24542513], [99919360, 19390836], [90111297, 96942999], [87396492, 15924752], [10468111, 51741496], [95411494, 60312633], [43724674, 7681373], [98067104, 47359594], [51742256, 68919110], [23920232, 11822062], [24581961, 75350938], [14300999, 66555653], [19795649, 6639248], [8130424, 58895814], [54488544, 79410005], [83683406, 62383292], [80021997, 50634823], [31044523, 30297334], [78666675, 26928019], [72167382, 37100287], [69097428, 29649719], [10470999, 65297746], [91088513, 15627949], [83223879, 62792705], [18059579, 20626025], [16516972, 21151272], [37606436, 67764224], [13677818, 35206234], [91961439, 58600590], [59773673, 50245776], [90334839, 21986215], [43143643, 87061534], [86554179, 62710004], [15670201, 91168240], [27920835, 62314820], [57549116, 78554775], [20270213, 41055251], [46805580, 67545742], [64201075, 64883738], [87824177, 40328016], [89129328, 82307737], [35526190, 81296756], [54710056, 44442176], [70852301, 8902855], [70108661, 53470292], [35446348, 35366719], [15348729, 42760927], [44334928, 45875718], [64318846, 64802454], [130008, 40437660], [46425147, 81899235], [41840305, 77966964], [3111369, 3391280], [67833612, 22376543], [82314272, 17409637], [92100817, 49229532], [23344347, 32896858], [11913590, 30082658], [64471137, 80248467], [91868192, 14785952], [79249350, 90329374], [51810642, 33190061], [58441939, 48081748], [75462148, 34768185], [68561148, 68263175], [14033349, 82666747], [43184087, 85856891], [767713, 4067485], [12156304, 20931338], [1538847, 5375622], [62523951, 35221816], [9533984, 51787344], [19832164, 59568313], [16601995, 13958343], [97316273, 77272860], [76515049, 30041353], [28969744, 93908601], [96228519, 11559437], [55395888, 52223305], [50980690, 71554226], [30521192, 86746652], [56385926, 34710944], [99639403, 19002116], [90167967, 9394541], [6131538, 8895407], [50985462, 49668712], [90597839, 58504009], [90600683, 55646022], [59951557, 51994039], [93732296, 77723659], [7626768, 1901900], [25427223, 64390513], [27178119, 50865771], [88489130, 46374938], [80048853, 49907464], [83219156, 55608751], [76277596, 36366071], [70628673, 77441278], [51455070, 64077957], [17327107, 8012419], [78146102, 20055110], [36338181, 77777387], [8529584, 71131102], [8091243, 96228920], [68452364, 27591749], [32245143, 26439455], [12291495, 46309054], [73617228, 60934810], [1338833, 86149786], [64992364, 49466837], [28856588, 36448822], [77406824, 67849615], [52488940, 63171275], [96768521, 16105525], [78073849, 99727847], [38479164, 45396338], [24952691, 61243067], [53120719, 66056085], [25100041, 17875108], [15062614, 92572582], [26007798, 40971795], [28932577, 42920502], [30825908, 81774002], [97215931, 71226374], [75883367, 39527618], [79872492, 88523835], [49055655, 65974123], [81976384, 68432939], [69266440, 65772244], [10968307, 71292519], [7185678, 17317246], [15436612, 30344334], [85146655, 75544891], [60738940, 27007999], [7189487, 55741164], [83838804, 46404846], [90894819, 89243582], [79690085, 89378330], [28368469, 42164503], [26337002, 86964043], [90636963, 51445895], [27844239, 85731316], [22564354, 68877830], [27479668, 83242899], [5599716, 43658259], [31232511, 98328621], [17342230, 84464856], [66855033, 18355146], [17006683, 344158], [38068412, 79389044], [83594991, 85876240], [56865152, 74154284], [21336966, 45792483], [11583667, 34271523], [18387228, 84063838], [62653575, 89386088], [76433458, 85041992], [48288794, 80567863], [38668049, 76495857], [5207317, 45609280], [46482570, 16445309], [44804050, 38390305], [22974840, 45301023], [20322135, 43678874], [17152811, 95350407], [38280391, 67946300], [48297481, 53354081], [39097962, 77638407], [28269836, 62848779], [41933464, 56545958], [83532344, 70745480], [3327920, 56668823], [93500876, 33445067], [98261293, 6052949], [48231147, 29068614], [38108782, 29047622], [81962889, 93729260], [89473440, 12487490], [29306121, 15775703], [89323059, 77125225], [12641809, 42568252], [11070992, 20761053], [88412318, 99442495], [79324298, 30418336], [55595766, 39979691], [76724992, 12206355], [68436720, 713731], [66430585, 51987137], [37972532, 1812232], [54578060, 70601175], [23584949, 58459711], [12599825, 30620793], [208860, 87923484], [14839157, 61892998], [97227975, 37351300], [45222607, 61559567], [82498707, 27260361], [25045071, 41482907], [88009498, 98382020], [25937665, 34469656], [196494, 82527802], [60849349, 6432016], [78571443, 32005686], [84582158, 84412244], [56659624, 95069912], [88078027, 95287100], [7502323, 37847507], [96294905, 80109278], [84421407, 70832646], [13330067, 60113601], [18146948, 59753725], [50485864, 40996931], [343009, 6336098], [23067975, 21907678], [9267413, 23227204], [76392773, 42995673], [47424609, 57477632], [33010944, 8130030], [83686883, 90247152], [15449654, 64054917], [82035402, 77140090], [92407474, 75216565], [2777696, 13787258], [72236759, 7458118], [17411756, 18936244], [1613263, 37275782], [54824006, 67957971], [86134578, 92855489], [37411675, 71639809], [17213857, 86380271], [76209727, 73846545], [91629705, 19057632], [97554604, 24869677], [612283, 70184506], [33369407, 43631078], [58171902, 17767850], [93564831, 24062233], [16337834, 64744824], [30713185, 19047383], [95068555, 33018180], [1195962, 63089166], [91266064, 9350816], [2369468, 47430786], [793689, 89557376], [15540179, 8697420], [21401762, 6224720], [26416135, 93030339], [17860177, 61716459], [76120443, 84192762], [32194894, 67503482], [50888032, 61216458], [99873555, 79066367], [17607390, 99134730], [5718059, 34504738], [77033446, 3704998], [850354, 40633692], [79267048, 661074], [24207568, 8549460], [50896847, 77293611], [64081865, 73249618], [31325882, 30595951], [78925917, 37559192], [99268995, 84691045], [80778721, 22591600], [14615253, 44793892], [5910745, 1507822], [90043968, 76946033], [8673848, 68005677], [9202378, 52022461], [54233825, 47940998], [44858778, 70823604], [988244, 24737784], [4807718, 52322865], [24817878, 90542010], [47138628, 5044613], [94922056, 14175811], [58714004, 74935001], [5941731, 72182658], [48470283, 73310184], [4790618, 11552181], [98279298, 63491204], [67585058, 13116473], [71888808, 98458251], [41868250, 9404762], [82306637, 86377239], [1096314, 59735901], [88231841, 44370245], [59391823, 37449419], [26707821, 44116014], [85162440, 5702193], [34120514, 21038308], [41278138, 54431351], [18571280, 92246461], [48135887, 26716704], [97957190, 28100979], [86539650, 47309701], [21288366, 71426194], [15444715, 24773721], [97665241, 33776363], [90507665, 16194527], [25837452, 49565254], [45740538, 49748987], [68580030, 35122458], [83129360, 22894041], [22952065, 86246879], [36470103, 27064997], [98731386, 5839585], [19229834, 96182596], [65418841, 41982973], [60294405, 47547268], [52443432, 16483948], [36797289, 26333090], [30616378, 33778009], [62279682, 43157754], [54208614, 94263786], [69034585, 39134847], [57349371, 54789140], [55484107, 57571370], [6161538, 93696293], [92830988, 5705251], [51523681, 6291408], [14362210, 31410703], [81403447, 88892367], [45365759, 93904897], [79695042, 26279826], [66564356, 53784913], [5606611, 73902456], [76161483, 75238829], [76335370, 15588972], [83492615, 75723932], [71264755, 21316970], [40880463, 94746483], [21830206, 83627197], [71937309, 66282003], [10258644, 2647301], [74803188, 44521301], [53316543, 30658978], [37830184, 18804890], [93207059, 71243321], [58247336, 54440958], [69966286, 69067908], [40341477, 7997693], [58610133, 34335629], [77753565, 34958642], [61754560, 81006235], [19628190, 91084545], [85236190, 44643448], [68190381, 16600689], [46719126, 91453198], [27980909, 83030279], [77990444, 45329116], [67753397, 148683], [52183175, 18211683], [67799401, 44906357], [97120001, 7818827], [66545970, 24950152], [1119183, 38288502], [24282195, 97110315], [26575886, 80832833], [2869463, 42692429], [40153012, 34048899], [33204173, 49840709], [53655589, 25096743], [26253938, 79429388], [94725685, 61603046], [92210366, 58836114], [44925888, 48760093], [18177568, 14079535], [38977394, 17007146], [69017419, 31178466], [21983385, 18810720], [57369246, 63484774], [82529682, 16058515], [86132186, 9503780], [97455554, 20485244], [24304470, 78641470], [72960957, 7208290], [65031990, 4666673], [98683174, 7112715], [11606219, 44748975], [70380439, 99802627], [89413630, 62016854], [20755577, 8112652], [80658089, 41994891], [72855425, 60530441], [63779324, 9087505], [81432086, 26652394], [62388777, 15416078], [82259882, 79598068], [2742617, 70282315], [51967761, 78659227], [90208881, 69913496], [40249500, 25748340], [44238038, 41189025], [8321588, 12711323], [98493436, 48654050], [95606732, 75185625], [22753716, 57540808], [87050839, 2862983], [11789497, 17838645], [88515489, 51015495], [67190204, 80940536], [34245708, 79112751], [21874408, 45144692], [49992224, 92062811], [68117225, 16421751], [13781190, 22974034], [50751625, 45576567], [46699426, 50076663], [71205262, 5274710], [43465332, 69894884], [91081875, 72762944], [5918853, 1946385], [24281715, 43610190], [85954206, 4825661], [80486471, 47223435], [30816905, 6341345], [28003493, 91050390], [40924036, 77617317], [51441739, 88540498], [51567595, 55031409], [61150024, 97875660], [38815985, 92686948], [27505847, 75495789], [72921768, 76898772], [99785252, 59060182], [21161596, 78181330], [3001979, 98964396], [33847451, 39553131], [55906159, 49495930], [22521042, 49425521], [6034480, 12559745], [14481453, 6715460], [87744689, 15909275], [51614217, 69305425], [38022571, 53788293], [30535337, 9868159], [37244894, 9800465], [81101251, 67602437], [71066183, 8728574], [58386817, 82768155], [10285601, 51221669], [37298333, 91454086], [21074989, 41694740], [51330159, 71691279], [85982220, 64810151], [3558153, 2022176], [78189393, 5496333], [14794890, 12287121], [94989096, 49904246], [18436155, 36298666], [65924404, 64579559], [57234864, 75802281], [7055685, 52990308], [70488779, 58431151], [28672141, 80389456], [20309074, 94490088], [75870455, 13152178], [24801688, 10028669], [82763004, 48330148], [36688795, 53960156], [10156874, 43141604], [88131346, 14991335], [40678755, 88331297], [68730519, 78060076], [62145084, 22651631], [9219481, 98768795], [73403670, 63535051], [2330916, 2427830], [86900174, 88828625], [9773255, 4494331], [89142396, 69570069], [62477813, 96109057], [94184831, 61076868], [51124299, 1416754], [24617430, 982556], [89530123, 43933059], [81296717, 21661066], [11857395, 96604899], [91813670, 10934318], [24278640, 23956080], [70942827, 25697285], [15415742, 10656734], [45278955, 66951746], [75372008, 94656760], [3729542, 34609290], [53059617, 2585858], [48206827, 79899283], [86494679, 89888918], [62449984, 45710949], [90168549, 22597578], [67997792, 80219163], [43964369, 71510951], [90858570, 4370786], [8058199, 5911243], [77915606, 12815177], [12473978, 4873465], [67758077, 64454222], [31317830, 73463847], [45467791, 57168103], [33727131, 57085300], [6844601, 99627500], [67069965, 76341855], [40300482, 99669065], [35729099, 18927614], [74937397, 88177700], [74515455, 41167868], [34594439, 70970330], [61026171, 29313908], [27880149, 78141705], [64743099, 64700757], [40483947, 22951441], [97199, 41417874], [76771438, 17330599], [38344142, 76132424], [78971995, 10782003], [88422129, 40630391], [72375545, 54558062], [57534828, 89613030], [17930510, 67145310], [85758501, 85344173], [12643642, 40549851], [77794533, 40553074], [43376953, 50589688], [94661422, 37048999], [75215573, 61077962], [59452358, 47723123], [22197775, 22310695], [97574739, 81691799], [65849366, 61570518], [73518132, 84318250], [87541386, 70861979], [26010106, 16195933], [63106998, 27233232], [92932111, 30852027], [67461625, 84191732], [19678420, 71888897], [84687436, 51911375], [95711783, 43659790], [6253933, 846872], [89237680, 23894417], [3830703, 40933656], [30302355, 86111906], [8237268, 38217177], [16026739, 22632254], [15846267, 95999334], [94764047, 54194431], [31728228, 66050992], [89852957, 49335332], [63710540, 36462661], [51923615, 47938706], [9905347, 1510772], [31592946, 78150601], [42939740, 1121385], [99758467, 46784337], [15179919, 58979623], [35551384, 26726547], [86195452, 45720055], [97856883, 68370680], [21402452, 82516211], [13844842, 49059363], [4097281, 74800273], [38151921, 6165646], [2863723, 28285164], [87195400, 2946809], [42715978, 54674428], [48055647, 58918662], [21454758, 84382821], [23408679, 69720351], [92462043, 59240047], [44791506, 55401533], [7206145, 7356773], [85245144, 43251768], [39135106, 64163041], [67143508, 4759912], [26324514, 50043291], [27406815, 18560553], [31160590, 9479538], [12657426, 49952904], [13527881, 23798851], [69173852, 29414629], [907407, 86436402], [50994079, 91221387], [79157909, 63285060], [20314320, 56597522], [57118186, 36590397], [70588645, 9984059], [81235754, 11010015], [41906328, 66121819], [81701208, 24837417], [18099129, 41967043], [93218312, 58331561], [25836423, 20572354], [71251298, 80871733], [67694584, 59324196], [86794354, 51739702], [26685011, 41129689], [1999628, 74812724], [19723621, 87630752], [34652078, 30205275], [61840435, 83583413], [89682856, 2442079], [19090006, 84003112], [57545388, 45527498], [76970291, 73626218], [8478814, 42117631], [56822288, 86633574], [33192038, 39231641], [35017250, 82174389], [93641043, 63236136], [28265378, 27930428], [90455282, 61044231], [77261127, 50396907], [57288800, 5748805], [25106987, 48909218], [92605749, 31067286], [98980429, 97488919], [98295643, 89276667], [24526615, 48409760], [85645090, 54278699], [72420904, 41071142], [17324985, 9041255], [55760577, 95022026], [20394041, 87601988], [44926759, 72966390], [37013505, 7380639], [54902089, 39680762], [67505039, 9563678], [14062455, 95707976], [65690795, 26630483], [3708172, 95904833], [88777288, 30434239], [18553905, 296672], [5344375, 42658242], [63560085, 35180364], [60890467, 35937876], [18720841, 82334595], [74757248, 4194996], [47820819, 25603337], [90490385, 67160630], [9651351, 48270562], [86179707, 89230411], [43093407, 66770082], [27599137, 97691861], [52720946, 95403875], [72068344, 46106983], [72621499, 44287780], [23256417, 50069749], [68555349, 68439036], [19658723, 92144434], [90545623, 47203912], [14917388, 97326943], [23680871, 78404474], [16211441, 87834890], [49158133, 35654123], [21120566, 91441098], [70814317, 93001159], [30566721, 27731482], [36119546, 16399918], [84088953, 30748688], [40980482, 68363882], [73394149, 83869136], [27589554, 79105670], [40344310, 24997524], [34648490, 29406540], [37460373, 24350661], [42525215, 62502194], [56931740, 13967242], [834089, 46342979], [53055206, 11082939], [38161170, 90703532], [4092058, 37663190], [99809729, 69770941], [60739345, 56490070], [15645413, 68831404], [39725196, 94663408], [14254463, 22675678], [42422453, 22228845], [23813691, 50831799], [49812551, 52090810], [4224023, 64302833], [19878490, 8724061], [15274388, 33059724], [21772981, 29559587], [19315390, 57268381], [23216936, 31354336], [25261473, 89926284], [46778186, 73293636], [79497311, 29233905], [66471480, 76368077], [83908046, 68065931], [28738611, 85848220], [30524724, 69476953], [6532148, 64102715], [1012348, 71250503], [46690470, 11685410], [75567175, 38293929], [85540279, 97448213], [9033063, 96288088], [2687575, 2713783], [22496375, 6446346], [7981238, 18795614], [13225065, 68543760], [47808601, 76882903], [60824103, 8266484], [6732091, 53069920], [12219860, 27366522], [87377065, 55591521], [34838875, 59301047], [37252359, 89509839], [27415820, 75195285], [66254950, 20616007], [78269616, 54627841], [36882178, 18110562], [5414973, 90142543], [39614788, 45937499], [74746165, 22329374], [20155984, 20603738], [80690131, 42970564], [7440118, 60993138], [90370387, 51481289], [79175843, 8958780], [43001483, 55498529], [10260723, 54521158], [20559632, 32385955], [10867666, 41031255], [85606354, 99336767], [95448456, 90283816], [84457873, 10419562], [97309045, 19694181], [68070570, 36075860], [89090092, 41941597], [78390521, 32275948], [73007762, 69429680], [65442170, 76791955], [37443548, 44971143], [46856219, 69298129], [57973613, 73170161], [60327261, 63668176], [50938149, 28892862], [51775347, 95218783], [28167896, 83490440], [49660352, 43689362], [66027351, 51261666], [69498707, 75922879], [45807447, 79736477], [86450644, 96922168], [51682281, 10436217], [77388347, 7634577], [29998281, 49836248], [25681875, 15726738], [77693860, 6090787], [38300792, 74770862], [14306314, 60752689], [78804476, 4179030], [13561824, 44934403], [96950360, 16250567], [51924508, 2643716], [20593114, 53157354], [4484867, 22029525], [83942119, 69006449], [86434189, 51686750], [53494811, 39233484], [44326665, 16852910], [1684537, 31687398], [19731147, 62819109], [5898934, 11858876], [97434326, 66077111], [49114925, 29212879], [60754811, 8587938], [20267461, 37101168], [49184311, 18864487], [14408544, 21776258], [55773749, 67932663], [40738095, 72849387], [57848657, 7846180], [37224112, 85501802], [16431511, 50642841], [3425875, 13775206], [49562331, 10552233], [78738724, 41646443], [36173065, 70417549], [53667931, 86073950], [86450073, 17221136], [45014869, 89813676], [724536, 94381533], [38454220, 2095543], [21875911, 56738253], [5812699, 60488346], [61518833, 69958171], [3087981, 74207186], [69357920, 29892015], [20123776, 94336526], [35701068, 7350492], [11609344, 69829860], [21941427, 6859767], [29911405, 6944843], [49914451, 85710695], [69707557, 17974861], [79875421, 82321189], [44630112, 65668482], [85658332, 25786907], [90987157, 13880173], [63017646, 26815258], [58906468, 55416930], [55935486, 53260400], [92514615, 70499417], [94731353, 18241933], [31503446, 84901393], [59881470, 66579148], [45427318, 91467525], [7569955, 88566551], [27650307, 70860938], [53681738, 5982808], [17752195, 78919318], [41884960, 86017753], [22678039, 10827916], [54514323, 2125262], [78413206, 48436051], [2188043, 74671948], [80347159, 30229865], [33624947, 7884820], [67018798, 25290832], [70522832, 37883200], [26979491, 23129268], [97323474, 64266030], [63438120, 52525057], [21904624, 6987300], [55471983, 1148062], [88863226, 90841198], [34946018, 26290194], [56990679, 58483358], [12048443, 39608781], [374950, 86640562], [8169341, 99007888], [87406128, 61004581], [30647206, 84367754], [2144833, 507902], [68001927, 18467522], [98583327, 45712454], [75026107, 86003923], [44418135, 26493046], [83703650, 59094540], [16728284, 74997290], [65927732, 71157301], [13943497, 9006877], [6639949, 27836081], [68156154, 6264525], [53151604, 76971239], [71636479, 70046131], [21028257, 9524515], [94174650, 26625896], [26173554, 19948440], [68904248, 98430664], [26018316, 84374887], [93431336, 55224361], [97596418, 74426823], [48356364, 46486021], [68207734, 23529902], [92235893, 66493937], [23672811, 62597024], [68634216, 77567382], [1468028, 79194781], [2992373, 40138199], [59663354, 54615116], [96668716, 91657349], [10454179, 88684279], [81131476, 87803620], [74107222, 89892819], [401345, 83425123], [26878499, 11966128], [85217229, 29977906], [33611574, 85673583], [68327299, 23548479], [36862631, 49399148], [54398925, 87938539], [54654382, 89042779], [46196496, 43464477], [46430849, 81935008], [25927923, 12601061], [4440721, 61542327], [88998690, 64730725], [33275966, 21789709], [3935986, 83087895], [46600935, 33416609], [83812630, 21256825], [53587536, 48131467], [18108332, 58545615], [14227633, 24340445], [87391402, 41021596], [92548080, 45511912], [2229006, 90733819], [92389480, 56691181], [67529881, 76701609], [32261826, 78083433], [26078760, 21476315], [58407475, 78565835], [78153505, 50178402], [4560037, 69826236], [25705847, 64342201], [41090694, 56440321], [74664828, 68583574], [71387381, 14163001], [68354254, 31138627], [72948308, 66840775], [11358991, 69781101], [55363046, 87392303], [75967229, 58742129], [92226693, 54386982], [57196722, 81680584], [90795503, 56037506], [9510752, 96465948], [23338358, 93407860], [87349487, 46070731], [31355818, 96040352], [913269, 73471582], [23043098, 49020691], [97182082, 62769124], [36947772, 34372758], [710652, 28786832], [32866949, 59858260], [19128641, 75916286], [39071103, 42979087], [2288961, 58727512], [75279395, 92928865], [5490592, 80982696], [75187476, 73943805], [56173008, 52963280], [28667120, 22148477], [22979149, 64562529], [79788473, 2063073], [36398508, 22722358], [65836898, 34044435], [57098078, 39976015], [12012051, 31466560], [85503857, 62640681], [1881888, 92651106], [50627404, 26120518], [48843251, 68133658], [26277171, 63776273], [16280856, 41992408], [79016153, 76852393], [27103191, 44423861], [18064817, 94973966], [10285184, 73231060], [63878805, 45228875], [70260895, 50824016], [78017762, 35205733], [52682782, 55125404], [7710934, 79778067], [57293835, 1592313], [48422410, 45934180], [77941041, 99605590], [97781396, 76931739], [72320152, 72150238], [22194128, 3710884], [33079121, 47863172], [48872387, 33940871], [17918241, 92967906], [97202580, 66172309], [32492227, 77265277], [32333717, 41538404], [39401669, 8819897], [45786745, 69686246], [66386293, 60213934], [9260514, 80246645], [16269968, 25787290], [41315797, 39656126], [53182305, 66825316], [39908970, 52605469], [58868155, 48539396], [1264544, 15899873], [44600746, 14934938], [61111434, 10629866], [81957439, 92513215], [34952495, 29060451], [75757910, 32112830], [61927917, 22889320], [63187631, 72438945], [81069930, 50966078], [65291205, 44549338], [36098018, 28550567], [12848298, 8187609], [73469753, 7054210], [62250327, 73652723], [65948888, 48276082], [59990562, 34606308], [95283741, 8620197], [49954052, 5916633], [48753870, 37520128], [39609708, 7039694], [49910986, 91165290], [24500094, 27261144], [85076949, 47079816], [52675327, 63597245], [63168405, 87490335], [20435092, 76725480], [63815355, 44903913], [83767060, 84409267], [64939584, 11295576], [44911984, 87418818], [65008014, 69391416], [78149009, 89969612], [47524061, 72446977], [57542332, 51306206], [26722434, 70760498], [98259014, 627623], [81648631, 26456597], [41523729, 43487599], [58321338, 6853609], [31758727, 33010514], [98155003, 53380930], [21938493, 86898691], [98280589, 37019694], [36631954, 74832759], [79841801, 99903508], [87366998, 59227013], [28406725, 55759953], [14628863, 62383313], [19797287, 66579088], [63798446, 81843806], [66093637, 77150867], [87153143, 54427479], [5386580, 36563276], [91813427, 91370877], [80582923, 64281124], [70868407, 98253701], [61776598, 4858503], [36679447, 54249521], [59149053, 34127292], [89354407, 78978348], [56562134, 25633916], [45537919, 94521267], [94906475, 76325518], [33554777, 88589687], [37703497, 86149122], [41616614, 98960980], [21334201, 79797628], [44367698, 27595070], [59708470, 74120867], [29154796, 6600256], [42402902, 84295170], [70354364, 88659184], [87224203, 55199638], [23538933, 93438195], [96317598, 84629941], [43055727, 39199824], [9014856, 65153644], [80608084, 90853588], [13832069, 61357935], [56198705, 51542895], [37898170, 88527875], [11715027, 80433543], [37033031, 15272328], [90708406, 98921231], [11378117, 69418178], [14015429, 92024114], [96002332, 19901790], [26483112, 29814286], [25383473, 2911216], [47889628, 54833588], [5721129, 29864235], [76188335, 48066679], [86490661, 83411176], [35027404, 28690624], [88208641, 3119573], [49523389, 23541619], [39062888, 10352626], [41973819, 56898957], [37256875, 76963677], [1595215, 99523640], [57092176, 3233776], [75784222, 82811678], [86856997, 23822925], [36612364, 34896544], [89576188, 55794589], [32259613, 36437420], [61342247, 21131055], [79074549, 27055543], [65446157, 13760756], [70222659, 52473739], [13989684, 8679682], [28044181, 93141242], [42098380, 62852698], [55631849, 83933949], [5874321, 18714286], [1284141, 67371176], [6295538, 65700095], [7262404, 23041978], [23440329, 91294488], [91597224, 56340030], [6777067, 64982243], [38553308, 97640742], [63017918, 27640060], [18604500, 36973622], [90323684, 62715144], [70150420, 1800418], [41222101, 2477020], [20468601, 60923749], [49026844, 39790682], [42617217, 30201657], [99967992, 98624249], [7596469, 95547359], [44696068, 62899641], [23179712, 84976525], [35767417, 97991143], [4790769, 8585680], [52509974, 23932932], [92797340, 77544920], [76403213, 42061714], [22533760, 41667320], [274677, 55898246], [82107900, 43695506], [92746259, 41386580], [67777846, 68072119], [3150127, 33366946], [90644942, 22216616], [69150806, 18496141], [41954825, 31321147], [84731752, 46846091], [45735301, 68554210], [20641914, 51471787], [11068066, 48725523], [64512983, 8316377], [79780863, 71227179], [58502380, 14178791], [81041570, 87297627], [46018749, 54712429], [76015671, 7508331], [46123268, 96989129], [79500249, 56542861], [17840372, 65263770], [48427872, 26112773], [74210718, 70123200], [90546515, 72860305], [86554106, 69963274], [59832035, 67528374], [14141433, 85608426], [21004303, 38136864], [20401390, 10440619], [61737957, 74815590], [64073495, 79280896], [95304548, 85728972], [88183912, 52707021], [20068019, 72746695], [64690440, 60280111], [35296292, 67227087], [56416458, 67135942], [10667458, 49604960], [24729031, 47965801], [76442730, 83629332], [69656605, 58999491], [12397380, 71042897], [84039326, 71818461], [60672225, 58988286], [68438723, 41133474], [12789110, 22082797], [33591415, 29314527], [49019384, 73710214], [22374020, 48654306], [99736998, 89804561], [17767210, 5718272], [16409442, 79104181], [56042445, 1921158], [51591684, 84775713], [60747941, 92754173], [16684335, 7449955], [61605064, 62603129], [65639303, 99203799], [32567695, 9459022], [24060841, 48199210], [94620602, 80603040], [87006730, 70600326], [34265171, 76727570], [29274492, 12389266], [36034776, 77402962], [36374605, 15234724], [58559246, 10741696], [6704825, 39740902], [4870976, 98039244], [84907171, 4997763], [48142125, 97349168], [42839994, 94884981], [15960578, 79696798], [29509812, 8869887], [19236567, 81730420], [42819287, 99714179], [42561665, 98094919], [53230299, 46454307], [61311078, 70554786], [30758449, 10579963], [29230502, 75857316], [88641374, 28136625], [41530556, 68161416], [46617172, 53771157], [90021945, 41041168], [76147732, 40862508], [73447559, 55836710], [66862220, 52240798], [35203895, 6674250], [22884638, 15570937], [24204585, 87269174], [77026595, 88228365], [60812177, 65787668], [84418821, 12499809], [48144358, 45397989], [66451983, 75053972], [50304814, 94548654], [71283988, 78323858], [60652330, 46143078], [96648008, 81529249], [90186819, 49971128], [67804323, 10613160], [5218777, 5206773], [19564190, 99162881], [7645612, 46175176], [55457833, 82322458], [41893454, 71423513], [31882679, 92416775], [45787457, 24877855], [64161083, 64963879], [6630229, 54753037], [88388151, 48694679], [13108062, 59688390], [7247395, 81132392], [57452313, 60920450], [68904919, 36011558], [19058715, 60384207], [72321653, 80724395], [37226766, 97275571], [48539583, 30264902], [28275524, 46809224], [81692699, 78639173], [18857036, 18292735], [67251828, 86977063], [39472072, 54175604], [59960851, 79603968], [36705153, 7573944], [49922841, 11658494], [66629498, 94446262], [33855333, 13538590], [44122856, 14155604], [63395394, 47917125], [34829610, 38226905], [66474099, 13898831], [27790781, 4170876], [42730364, 5336671], [58406944, 20150266], [16187444, 5055785], [91851523, 88689168], [47614903, 69171155], [92729114, 28958785], [13526473, 98134587], [27297693, 2170613], [13107548, 82582775], [42449732, 36985643], [79380387, 83835332], [14657007, 71553478], [40896091, 96389362], [62217383, 93471354], [63621815, 68421736], [78925813, 21297679], [88741032, 42198385], [46128684, 64475854], [47726235, 40001817], [18489698, 48377730], [68510639, 21202381], [4713388, 70368285], [56152374, 53101998], [17684914, 14722548], [76208191, 658046], [30384449, 6789704], [18541482, 35616910], [14311072, 34080864], [15137525, 29303479], [59666225, 84237555], [94752881, 81927641], [88680896, 74966006], [69365526, 73739268], [81602871, 32849665], [35280587, 86510784], [124552, 28594916], [78013482, 92883716], [45562590, 65987120], [71104392, 23857301], [6359028, 59202597], [69948583, 67682209], [1997154, 97105450], [72240025, 86772705], [46735579, 72076475], [96874292, 81055754], [21023790, 61231302], [17816522, 98238080], [35907620, 38105945], [67140322, 39015834], [24651636, 47494868], [99970771, 57622503], [26546598, 29247058], [21577755, 98209479], [53724957, 98397932], [78646732, 24406621], [22086732, 24338168], [15433192, 58174800], [66201426, 63322416], [34111439, 76366078], [95081353, 79898459], [18613510, 78080185], [92907217, 80421413], [19607462, 19397576], [87075065, 73364081], [11097507, 96818092], [37841616, 6455894], [5699326, 29340714], [25665, 69372149], [98661054, 82673739], [64698237, 18486525], [24961090, 81025488], [41075542, 86217498], [434302, 24959788], [58546814, 93195607], [67981822, 97368088], [11943488, 77793221], [52263400, 87422298], [6557415, 31916348], [9563160, 32018825], [50265604, 8880827], [42098517, 59735238], [65610090, 85545616], [65121789, 24087797], [12902440, 9094468], [83108516, 11541252], [31696257, 63800437], [21416851, 98451867], [2505031, 21091309], [48440359, 81566087], [12900853, 50635627], [46826212, 93442969], [64751723, 8797603], [51733624, 8393075], [6327976, 41067628], [96310770, 53814589], [45467089, 31441213], [89558049, 92010112], [75325071, 68089037], [16905365, 63711427], [93936652, 30597921], [32886635, 7770527], [19574536, 36619266], [91291320, 89044315], [16494551, 75845220], [81947484, 17474624], [99760707, 89824044], [72261610, 64882367], [29201270, 77185022], [88700689, 4749913], [46849144, 91754993], [3825107, 99589531], [78208871, 13588662], [20249384, 41891246], [40679645, 88956381], [51091982, 22469471], [73102230, 15850339], [21617172, 16487221], [43224863, 14643057], [39432434, 56180441], [37651111, 20987956], [7843417, 38815588], [9508332, 54080776], [10073831, 12855443], [60596682, 72827163], [52879180, 74818935], [39888299, 47303120], [1581092, 63128227], [73416021, 43268324], [68816925, 60441952], [99158129, 41182997], [23725265, 3606900], [61114202, 95138765], [85370044, 17199192], [12410746, 57995943], [61599804, 18734948], [64978663, 57195839], [61466648, 88270575], [53081766, 76555082], [68439056, 52854915], [41743047, 73016569], [47306292, 35715081], [13509134, 75895914], [32348759, 71098262], [92867849, 63826094], [98491851, 2271684], [81236532, 20590867], [53147867, 66396255], [71401677, 40119906], [43280618, 86083385], [82790154, 93252353], [53617665, 98165934], [84689625, 16692345], [70591358, 58990385], [43287623, 96817161], [98776873, 64848305], [71760138, 45271529], [4631019, 29311985], [62911835, 58431483], [21529877, 65127751], [53011938, 69126380], [35132658, 41057887], [51096522, 72385190], [89809304, 26879674], [47353996, 10243489], [80562516, 44247294], [6828985, 20492743], [87933049, 24873783], [72252690, 84377013], [27535297, 43403605], [47927341, 13020720], [81751565, 63812319], [70856007, 90067266], [84003383, 27037656], [88046295, 42974952], [54554530, 5000300], [39837542, 63203293], [96365997, 8221054], [17665716, 39745766], [35015426, 23732688], [48685006, 14361463], [77855692, 80907390], [33687763, 14496264], [35731260, 71955880], [47807502, 95355305], [49969042, 84908202], [96909798, 22176991], [49936509, 66641386], [76185821, 91724453], [15647670, 30641487], [17516290, 88118010], [29712214, 86424929], [80114575, 808630], [79005473, 71010694], [30385652, 28795119], [68019351, 45459938], [66787015, 18162542], [28591451, 52138421], [30237085, 58577696], [31262249, 1776682], [85006352, 30198597], [56542832, 32406406], [33393072, 14899798], [39300303, 77688044], [66035764, 46670876], [46200452, 60585882], [60139831, 75306252], [31224681, 17087606], [23411896, 64116376], [48887240, 54137191], [9889469, 11179491], [79002942, 94704658], [70400171, 88000674], [4120159, 65716805], [18889280, 82944594], [59771249, 58866284], [21255487, 56411721], [97021767, 45329523], [72931190, 13476410], [87211094, 12578618], [53511758, 24894626], [97841850, 96866023], [26424470, 45640044], [17707478, 67318054], [75263731, 1161214], [49101588, 41015473], [30040595, 21420441], [37732788, 27812687], [48150071, 13032240], [99920122, 887996], [53620848, 81620872], [42812254, 62518719], [9580694, 43904298], [12478455, 26899534], [32473272, 61257999], [57918594, 47423910], [83941552, 26514382], [57515433, 56992438], [79866500, 96546866], [99451387, 8688198], [18297725, 58815244], [2515996, 61806013], [23280712, 67008222], [25915969, 52360100], [48624742, 41575700], [42032320, 97231380], [76348324, 59751793], [8185845, 99521383], [22463774, 68749860], [45376561, 84440116], [84392886, 60593752], [60566739, 65472059], [4490872, 46456959], [91000460, 12488563], [19448158, 47904157], [99517623, 19294158], [25126504, 92810352], [70393309, 89418141], [92883812, 9335372], [89105197, 12515482], [19869040, 15302527], [52163069, 38247063], [45107218, 32713177], [64262073, 28811723], [98852797, 98962871], [71007130, 66223833], [23894529, 45217786], [10422689, 68401942], [51484096, 93671163], [59566654, 93607481], [11239798, 62357188], [34938661, 6211412], [35693489, 51918682], [18690672, 66050871], [21354843, 57398941], [22680337, 25202659], [60747707, 90102993], [79037470, 15113904], [79134975, 13651810], [15858054, 84443473], [82251197, 52595210], [40841605, 74675894], [22186123, 43766903], [7375880, 36647296], [18997866, 25043114], [83757301, 95829344], [54804141, 50745162], [9462949, 60988282], [42264314, 8624847], [38834669, 76268736], [87579634, 16968881], [80075345, 93165151], [54859368, 95455292], [84186331, 42449495], [9821855, 8906780], [19938844, 32141217], [13954662, 52540224], [36621785, 21131459], [15898768, 16301369], [76372497, 74126847], [97206813, 27996048], [57191682, 68835591], [797820, 95554272], [19877998, 18011983], [77458323, 10877368], [98277266, 29049276], [90852932, 74818259], [25919465, 21081289], [44486492, 86487265], [12790701, 78249742], [8939571, 54272301], [77557911, 77546149], [41621094, 39089173], [84266366, 17601773], [25778600, 11312178], [19774551, 38362636], [63943224, 82559933], [11508302, 14882698], [60711188, 64935721], [49665354, 29681334], [82583493, 49801140], [82502891, 81616101], [71557515, 83799021], [58700848, 43119565], [96739028, 25011093], [19589132, 66227661], [85435226, 24692977], [93838178, 65123392], [96711826, 23613525], [15581552, 50843827], [16653187, 15735481], [40999774, 79930943], [32506123, 19295476], [36702604, 67724335], [58091507, 23780063], [87891434, 22340257], [72667543, 88817191], [42668086, 56043849], [95378348, 13937225], [2094972, 33121999], [41054899, 58695363], [14379202, 5236996], [97395987, 90013859], [44545495, 15145665], [18983028, 627592], [39597571, 87781588], [43649771, 21894358], [49865250, 49260113], [66213623, 7078221], [89423043, 99091705], [79580060, 89967962], [38750510, 93093706], [94164511, 37432171], [50919641, 58529636], [62732019, 78810300], [94585505, 90440575], [40139780, 84161613], [93189075, 55984873], [53710739, 65380664], [57613007, 9267894], [58039852, 34757318], [11874051, 31640348], [58501901, 2064830], [97890235, 77916957], [77505954, 99447403], [58832082, 65319425], [85073314, 11038523], [60552226, 93119245], [14027072, 83473824], [66521469, 2484192], [24433678, 53420620], [82338736, 26572368], [20879300, 86359260], [44711687, 15783714], [51916525, 31927218], [90475469, 73908611], [96143441, 44316245], [79039204, 7140428], [80030216, 89634112], [64053572, 71153873], [7395154, 69411655], [25805797, 8048602], [13981360, 72471248], [23028041, 68249156], [18309037, 72078632], [22395033, 66884387], [84028583, 92158755], [28376563, 56139584], [87284577, 25118675], [14365911, 54227713], [77380838, 5648145], [75472290, 12646158], [14242640, 61328045], [70709557, 4497586], [84834837, 1465225], [10963926, 95004819], [82634514, 85802498], [22518170, 41536524], [29818921, 90252604], [28065362, 68065076], [34612574, 62846807], [93644072, 37105206], [92103679, 28118739], [60732146, 78591087], [73525839, 29011924], [55256923, 90875668], [3303620, 4719849], [16756391, 65822649], [73506179, 85056418], [88386619, 45209964], [70301921, 18881117], [3239348, 56223896], [28748133, 82519200], [77651395, 39087260], [4246369, 8692353], [81155215, 9519497], [75748642, 27833584], [96536517, 40387144], [70820471, 8362563], [1062070, 86504792], [81803547, 55775136], [41589470, 62089465], [5938970, 68177278], [30875484, 94633182], [75690554, 38604262], [57261358, 40108306], [82169270, 99973912], [21707923, 31466661], [89352345, 18732147], [6014053, 80654946], [81473940, 24538117], [88832694, 1030873], [27987851, 51197956], [42428546, 95227252], [26138035, 19971608], [18046825, 64133434], [47609032, 33799942], [62593671, 93407317], [79438720, 93187091], [48882266, 85497027], [90660684, 37894381], [23292517, 24128284], [4463210, 51400099], [33116000, 26360631], [33205167, 20721439], [19219307, 42677974], [86041621, 19294390], [84225535, 20824864], [19479915, 93593230], [99729339, 91133297], [51043101, 62648843], [23825880, 5857074], [48556068, 26860415], [19937619, 24689462], [31194560, 47884476], [86844015, 66027952], [25779658, 19233671], [64234497, 2793796], [99941021, 44886832], [24812397, 65169214], [18982550, 84191838], [43095346, 37790636], [63640856, 87033824], [6385322, 33944184], [12716933, 22953496], [43264324, 1891619], [96886273, 39581893], [46203895, 74406894], [56703042, 63637749], [39804200, 43514487], [99394108, 74458428], [72478839, 39068036], [45319019, 70946318], [18660842, 84139870], [76022691, 98107039], [98396191, 6033844], [46607361, 60476810], [82404135, 16420299], [10487335, 93519419], [63770571, 77825163], [93287910, 58812132], [27107261, 61816238], [77521763, 14023811], [53132869, 85769166], [5077389, 89708112], [21580967, 91115334], [22852096, 18080604], [36455853, 52797801], [81055650, 17046589], [72246002, 67992848], [84574601, 25157573], [88362205, 38460905], [59832554, 74207570], [7662505, 84540421], [71551816, 64088190], [40445269, 66702116], [54136609, 21006174], [10817593, 24030013], [4567176, 51722010], [60254485, 46003500], [348197, 57885590], [8369156, 2690377], [90049055, 72051901], [50527536, 56742879], [63871975, 41109615], [8127342, 45148300], [74516026, 78759306], [36713321, 44798389], [56915336, 91377639], [57940368, 17419206], [41029044, 15617049], [37389249, 90997450], [86558574, 71763296], [64499567, 4861131], [36012644, 57039901], [66219263, 69671071], [74935713, 62804217], [88060489, 23174071], [97768525, 14491903], [53382513, 46515082], [73169563, 52013700], [87417089, 30282698], [98783211, 30663325], [27625158, 79895313], [13267420, 92779946], [43644021, 87056719], [34211734, 16649958], [36285904, 37575998], [47936742, 33463084], [95732341, 66679050], [21182911, 43432889], [8873425, 89266528], [17604013, 20438915], [61175943, 19692705], [6212068, 69008150], [6179604, 84699750], [51778764, 25539090], [92553736, 15731758], [8266810, 83862448], [89872504, 78979827], [8098452, 58423471], [46080204, 17801262], [48662708, 98567835], [80832070, 17177264], [65233883, 61001344], [84656002, 86429881], [36172281, 90683401], [29444688, 50223611], [98922909, 34304510], [57475465, 54586799], [8271697, 31364401], [95816435, 64055092], [8678726, 2148686], [2423819, 82972321], [58630177, 1564591], [14980456, 73819830], [2481407, 7762533], [36032294, 19218577], [76428241, 4043146], [80560888, 35067082], [13849644, 61263756], [23565644, 41950637], [76044912, 87381740], [72284080, 75838619], [99107791, 7260871], [99746154, 49902765], [89128811, 52210110], [41689413, 16151787], [77287923, 88948859], [65500376, 59614144], [21930865, 97351619], [77523614, 66026849], [93689513, 21699374], [50373248, 56690208], [53386189, 87628833], [37597755, 91926336], [34367543, 56739291], [88868314, 66951222], [70702346, 87190297], [962035, 45428736], [93754991, 13014535], [24246123, 29729013], [4265377, 77905949], [61385602, 84665263], [59156304, 21752779], [62870116, 35939694], [21124754, 15336158], [82182827, 74316871], [45353107, 16098253], [71412025, 46874220], [18906761, 52162496], [33391349, 85429760], [77152336, 95682662], [22600368, 6288990], [81982613, 76117372], [85473532, 33241575], [65437520, 32865191], [93977103, 50047212], [3686449, 4913894], [75745877, 46660854], [52569117, 169472], [79329636, 23652585], [24044137, 64043120], [83116308, 17388356], [52767019, 34051188], [92410889, 26928327], [50996234, 35760468], [20093658, 47501282], [33163619, 28076749], [78360497, 91286993], [2586196, 15634659], [94344586, 32397028], [5380012, 59820710], [31913705, 69497046], [68990014, 72112074], [88624964, 70425581], [1444481, 68134113], [35393244, 29965307], [50082200, 23908432], [10780431, 84531814], [18803974, 29454261], [1016425, 7101750], [34273259, 81336247], [48403479, 71033119], [14016679, 45498373], [96159222, 15787165], [76099888, 5780400], [46382211, 39854399], [83946552, 61310023], [87593671, 2890543], [64700348, 65945811], [78762344, 98248066], [44050273, 57406468], [41383902, 52168914], [74883986, 34719279], [95796633, 34254185], [41664503, 83067219], [91427906, 64178219], [22060132, 24630179], [41616444, 66095771], [67766002, 85893161], [10890761, 87376771], [41736991, 80437925], [6176950, 90827312], [45108650, 7055937], [17591814, 73897234], [83314184, 20751584], [26235295, 31322060], [39470489, 84769141], [97089342, 86133197], [54478986, 60671999], [38249833, 28227583], [45822044, 40624883], [55319287, 38854578], [39088408, 46532672], [74507962, 49549033], [56404522, 53085383], [26708632, 3718827], [89623895, 24411898], [41703825, 65787292], [70851421, 67455388], [7412474, 57873320], [64569623, 13996084], [69422128, 70362451], [86987874, 55086514], [56037088, 79660541], [27773711, 19198918], [7586883, 27559543], [15061330, 53126018], [14913410, 23946446], [36833184, 5536337], [57822993, 93344050], [86760836, 64393125], [70075591, 40334941], [62924859, 48957359], [97114474, 76627219], [18651414, 20804507], [21679764, 47483230], [11776785, 58784072], [85866629, 1137311], [7709269, 49037423], [32120578, 96673052], [82124616, 81065223], [1418886, 46119738], [78510222, 27599084], [70596987, 83568319], [58188443, 24429750], [36136463, 45045256], [72783127, 20803081], [21696699, 30222786], [40046327, 13448694], [87407381, 109561], [73115174, 47278410], [90361521, 7846353], [91996042, 87525626], [13410919, 15604607], [65128890, 93903586], [58486521, 248253], [17391068, 3721263], [78948187, 91017666], [43212349, 85572057], [56023156, 35851041], [1320824, 51746854], [97417624, 16539827], [76622563, 67281719], [82330021, 31765227], [69545104, 59798227], [39402039, 41264252], [26951879, 29385502], [64158834, 61196734], [9271074, 45906857], [97519099, 61885972], [93470150, 68440452], [55579050, 55757495], [72755292, 97475637], [81650857, 60227881], [6665407, 61586605], [25206084, 21943262], [98024485, 8505623], [42649754, 56533778], [89186172, 10039298], [1745042, 12741705], [19642881, 47306768], [84020941, 92077977], [16020891, 89391276], [9657478, 76684971], [9900144, 19514017], [62686399, 10831030], [73600574, 94629520], [72409758, 4079550], [23580304, 82347506], [53007936, 51446216], [17412506, 2085799], [79895904, 13472917], [25007122, 56180489], [23560912, 13428679], [67724529, 53564424], [10526934, 12719006], [67250360, 15539509], [39382125, 32207829], [72621811, 88762511], [50332512, 4276637], [2678170, 90262702], [68560579, 26086943], [37324553, 51729929], [54690935, 25076401], [14936878, 6186193], [62316371, 36689625], [33923319, 1709278], [84088636, 23179642], [68280483, 26912539], [81006996, 10156055], [17727504, 80680265], [35102926, 14523718], [23160012, 84110663], [17678355, 20354665], [42064976, 69462094], [84324447, 28706471], [39423547, 47975105], [61489343, 52355371], [74945365, 40412026], [47536703, 32228657], [63538836, 56901346], [76614096, 35219000], [14103009, 46633590], [88820108, 91231930], [82117371, 74880399], [65591706, 81096670], [62343542, 48006426], [69339626, 36118621], [57618947, 25206707], [4962633, 40410326], [14672426, 53559593], [54153730, 55679442], [24993209, 85976332], [83411572, 54834205], [2357381, 20304255], [99867174, 34834665], [23763385, 57863374], [29060808, 39390384], [26848266, 14950343], [84588701, 70586690], [330412, 28859117], [21248309, 48392864], [4807875, 15104134], [54522521, 20625890], [37805205, 7776957], [76403437, 79758880], [92342627, 26243828], [62488717, 44695507], [35540259, 1690841], [2551508, 95627762], [36563265, 76194401], [36364174, 71038245], [48358561, 94300161], [5082028, 19930513], [56608383, 12961721], [14644424, 71100037], [25615679, 10408351], [67787703, 95808109], [12602094, 25416986], [87235813, 57754986], [47060791, 34574456], [97207431, 41376064], [38763548, 46342409], [7422121, 46030803], [23337032, 89306553], [88481936, 41861056], [13560972, 67922110], [33259332, 45480765], [42179658, 65785205], [23073352, 9000032], [23584668, 62308430], [40130455, 67656741], [27002378, 60833014], [36016086, 72050712], [85154347, 9624242], [27753952, 71971674], [11924457, 47353043], [38582780, 74224488], [8750955, 67155967], [32611174, 19212724], [57518769, 14507073], [78564062, 84607674], [37856340, 89917727], [80396012, 95599845], [45097089, 26124763], [66081589, 72929025], [53584838, 37461251], [78221690, 18066415], [90000200, 9430336], [37457370, 64326879], [61138648, 26473434], [14997200, 82646896], [12919898, 67915160], [56401332, 63527321], [76499416, 18746317], [90365630, 62312787], [67606214, 49899018], [63213096, 20422687], [32029937, 29995895], [46761293, 47162494], [78731907, 70927770], [23891467, 57848681], [63459871, 47048166], [92331713, 24612142], [78573706, 93684997], [20324376, 14835930], [90208875, 54487567], [6365403, 71366640], [91675933, 49900289], [50036782, 2772396], [59951, 82909548], [73538938, 50786829], [65735669, 23307760], [10953497, 81228975], [97794720, 20862644], [53555324, 74809531], [88897082, 17787401], [68313978, 5830103], [3233068, 94125566], [93846585, 82671824], [54956793, 36086745], [61865713, 55550674], [58762079, 97922537], [88096274, 55447590], [59175667, 49605038], [42094267, 48096215], [39349192, 45436534], [46968790, 50476384], [62459579, 42223282], [91606187, 81671478], [93657318, 22129448], [29314284, 86962652], [40964105, 11025604], [1868746, 33273730], [32534201, 10292002], [8104214, 84534028], [53043127, 18875089], [67110730, 72361225], [29157116, 7079212], [25892268, 54022917], [41108982, 14185411], [18329179, 23027692], [16307955, 40227187], [89942883, 37215410], [10828808, 41840635], [19435750, 53034065], [52422419, 2081566], [9626278, 96216601], [48182026, 59063380], [82569622, 64451706], [61481853, 22826913], [75446218, 16894504], [87360326, 89252635], [4067283, 71602693], [17736549, 57512239], [86906435, 23488311], [50463872, 41039309], [18316922, 36404896], [96243851, 71803427], [34872804, 63600572], [51478853, 27657365], [23644129, 95722744], [51410728, 17796074], [66962192, 46478803], [14733162, 91116118], [18829816, 97492296], [22563496, 83399050], [17294440, 26027315], [62863656, 85329547], [88037640, 4544524], [80335977, 40267517], [84380111, 70281923], [11356013, 42159286], [41265718, 86807495], [94619191, 81684485], [98710547, 36666992], [24869597, 79363621], [18618827, 73441826], [57923848, 24509700], [69939523, 41356152], [78685259, 68637570], [94669932, 87035238], [85249913, 5383199], [56071424, 99546398], [76848507, 83397576], [22208939, 11979492], [3483558, 8986981], [4997327, 11952532], [62975441, 99658723], [70833103, 766744], [68315048, 36194373], [34212510, 7889995], [62293582, 24321839], [11508327, 64685358], [90300369, 15641036], [6653904, 429259], [56475509, 78670793], [88223899, 39044389], [29424979, 66540106], [70417556, 20706576], [5271233, 71519675], [70353358, 83119223], [71115869, 34650100], [34888546, 2471827], [5821229, 57451364], [97973786, 82213441], [88887061, 6714534], [63838417, 2259160], [50513765, 19824730], [50237078, 38640038], [98418646, 47997811], [36743935, 16252234], [6749523, 44032611], [59040823, 15604863], [76407765, 61312977], [22153660, 11535210], [80387163, 315199], [8268365, 61647330], [5869829, 45171636], [63631215, 57835260], [79666486, 39593960], [8441103, 53556978], [91809047, 33483027], [58199331, 38830268], [26135156, 70941048], [23075380, 10213633], [50713986, 67803832], [29122655, 44392730], [73892140, 24715990], [53726689, 75484110], [1543902, 34561373], [75222763, 5620311], [51917254, 17679273], [73158961, 21000598], [13400891, 82708600], [13700717, 30957512], [47980699, 24167091], [20925595, 88260988], [82522212, 21613117], [19861425, 29237510], [28245598, 90849832], [4083487, 81281924], [99802587, 12770524], [83747162, 70352749], [22929884, 89760842], [15235668, 35210547], [57451997, 89132548], [30382004, 39702123], [9452481, 37280027], [26077023, 16012643], [33893947, 11206736], [58591753, 64940789], [87686150, 12005813], [97123883, 41141856], [10624529, 35004512], [40437417, 12989289], [85360254, 35064033], [31015551, 12077727], [64859201, 26278850], [762195, 15716134], [9923278, 81746832], [83093776, 47571569], [37971284, 98218366], [14881874, 99778414], [23402023, 21210841], [74898896, 92809478], [46489116, 12425398], [8412508, 34817231], [10008703, 74498780], [50621360, 65272665], [64731133, 43296993], [11951409, 63227576], [62325884, 85221859], [8951739, 9827812], [19490115, 62159879], [13600454, 26875241], [55122189, 89627047], [21852537, 5141132], [12869826, 92363908], [5766406, 14897326], [75395794, 28489350], [7745006, 48468699], [17507157, 90699530], [68026674, 86187284], [9758481, 65277520], [65246316, 36568116], [89580123, 46679437], [92719532, 65783651], [66561255, 6570471], [72953708, 30921190], [20133480, 22338796], [79281492, 2231446], [13130059, 9974343], [25099461, 22870093], [74325350, 34951485], [74607421, 48571092], [3046519, 25229719], [65689420, 50703617], [5047693, 68682330], [64318698, 87762361], [72747700, 95809370], [92785747, 88701147], [70881685, 30937399], [11077069, 15731861], [14148959, 30895457], [6449186, 11697771], [33789584, 24166213], [37640633, 6100094], [46271812, 94341639], [1871540, 70195334], [43423263, 3199057], [8945507, 71613508], [38041235, 37646434], [64272233, 32432234], [44747628, 4828722], [15403648, 65342336], [60735464, 62151290], [61972449, 85889567], [6722550, 39616245], [13473398, 55576742], [7463459, 15915840], [58170072, 28004612], [85631427, 53139674], [17815503, 50858392], [92762824, 74899540], [4546111, 5913874], [92946847, 85028923], [44016460, 28012912], [18890288, 41016610], [14847181, 43630444], [16298586, 67154561], [55263718, 3054818], [83584504, 45927915], [33582187, 31512098], [54267909, 12146211], [56245587, 2941832], [35783447, 75151084], [4172400, 40663531], [60593222, 70456535], [95758338, 90558481], [37679972, 90290095], [49464422, 6881647], [71001334, 33812745], [80874507, 51823368], [14570540, 51199659], [49816736, 21241904], [2183353, 18893120], [37692623, 45337124], [36145685, 82170811], [38789690, 28394821], [66010635, 81347889], [91063357, 49621249], [66674610, 22642442], [9394310, 91314355], [45620664, 89653404], [20978514, 31665715], [49363865, 593145], [39454112, 19695300], [38736426, 14131496], [11906882, 92723259], [30174237, 18326659], [7574342, 17988796], [29659933, 42783210], [40708953, 27724245], [29446836, 26107482], [11886769, 84290814], [78850523, 56330186], [48428734, 53961486], [23532603, 27926077], [70456476, 87273744], [11069368, 32011656], [69445877, 40272836], [34561480, 23730557], [65779753, 36804519], [97263497, 31617306], [77954462, 64773136], [31776983, 46184293], [95069364, 96226396], [435019, 62802701], [57226697, 47582345], [37954972, 58872504], [60350901, 70726188], [29783226, 65587782], [48647322, 52655636], [61121054, 31614095], [10003969, 44655533], [92851016, 47419489], [65803288, 66748116], [89357377, 7811204], [97667102, 62240495], [43391500, 18925], [2883440, 33718270], [77964342, 70160329], [81070501, 87625824], [84202062, 75247673], [93036659, 44523455], [97920963, 99396755], [83035648, 16296063], [94756898, 61962785], [298143, 58760598], [76227644, 32177294], [54002461, 56714045], [91976420, 96865664], [67022502, 4781924], [11637455, 8149689], [56753212, 63533110], [48345073, 2946444], [50115382, 64044597], [64462834, 89032894], [81169935, 12511990], [77807240, 39211332], [73340693, 33648961], [17000782, 27052648], [62394639, 21483340], [38662608, 43885537], [56238111, 79450202], [95106267, 53486791], [41206779, 35081856], [43586009, 32281115], [46817006, 58149578], [95503919, 62963352], [14672765, 27203628], [42406160, 66009571], [85261059, 66392805], [79120378, 38299603], [17660474, 56150946], [16871379, 58589148], [56458039, 8437835], [87559160, 17972562], [8683995, 28518935], [85445853, 7273125], [51873089, 99922759], [16008635, 75649629], [10673692, 64000367], [62230187, 44766356], [16066464, 35565305], [78741477, 5578693], [48280444, 68235717], [79117004, 70955988], [14251043, 44861634], [12476552, 6032378], [45668731, 51422766], [30023445, 78891726], [77964663, 89432467], [33764879, 43361061], [80794230, 21260507], [7602272, 3995355], [58564411, 82413200], [54845951, 15223079], [26578079, 21692439], [22548911, 68932350], [4311855, 32643991], [12628061, 33783808], [8465985, 80712798], [50831969, 59394602], [25463356, 86843095], [47718, 9512782], [70535714, 16063904], [16001858, 50610398], [11768468, 10560151], [36285136, 78354664], [21764646, 16580881], [57533990, 8741025], [1549887, 68672826], [15210677, 9301476], [54422342, 58805524], [56049003, 70256739], [12493478, 57604484], [45561032, 89350108], [44610093, 34282170], [84776606, 68619229], [50436415, 46143971], [5782466, 22602638], [60892022, 15236523], [73332542, 95921109], [98658855, 19672222], [81989418, 82753455], [34192411, 71056272], [68023593, 47345949], [58766611, 96844921], [66909470, 79550294], [49021958, 28419120], [19863135, 78294385], [3683437, 94286608], [15153492, 1256471], [14283866, 3820543], [92542627, 90479234], [63014533, 52855328], [67213815, 46476047], [48362101, 3187385], [52177824, 12992615], [43997870, 52811273], [71196250, 91178127], [99088857, 17122803], [30492014, 92626702], [94440536, 56460546], [10250084, 10026784], [33615958, 76524615], [4249395, 64860578], [10575712, 55174748], [35703028, 45677107], [92888811, 1708732], [51206296, 66421842], [77386665, 14503063], [60792223, 45942251], [85925240, 87358385], [63515429, 46275794], [58805040, 40436266], [13804358, 9160978], [5231980, 32932707], [9495188, 68116842], [15333793, 15588191], [80155509, 51629138], [47143221, 89983285], [34139398, 83995567], [7129968, 49968558], [15954891, 82803244], [32367312, 57972595], [80005772, 80155617], [22351196, 86209209], [42954174, 46839069], [26493371, 56406091], [17468952, 51951291], [42960625, 94537420], [13341717, 63108491], [73662668, 4966498], [82024559, 508930], [18757992, 5243974], [93970557, 90811696], [22013314, 87493655], [50070565, 13976088], [3762354, 24596704], [83907728, 84286372], [72138348, 84287486], [6608175, 70094510], [81389801, 77390600], [76248319, 82189784], [14147536, 24327788], [17561890, 92756267], [41225481, 75516180], [2646278, 44133547], [52819414, 83591339], [71807322, 64093326], [69267397, 50024091], [84996836, 27923348], [99301216, 79395172], [88418951, 86529487], [792208, 59755062], [89396388, 23058498], [72178989, 39496701], [82002909, 50678863], [87638208, 84586032], [44738357, 53171803], [39534731, 67458253], [54802570, 13462931], [88739142, 99728222], [53201923, 40075184], [73661902, 18555848], [68642559, 40468555], [67074861, 20390982], [28637273, 37855804], [69345745, 56986946], [69665867, 18661045], [68555721, 73794262], [65756394, 53325695], [63099423, 81270026], [77466807, 32161383], [98338124, 61603478], [862021, 48262073], [32108799, 70031113], [47343311, 85744490], [56806078, 76968599], [38475607, 35520139], [99194628, 89910760], [78110499, 84291161], [33056351, 63983838], [72201825, 17820330], [26141346, 12912130], [49143726, 34243845], [33954640, 27382281], [29932118, 40948949], [97012282, 64683911], [28433826, 4952279], [78106545, 18518194], [56084313, 28380527], [28279294, 52968577], [79229781, 84917087], [38441995, 37056793], [78408655, 52483788], [17804247, 27056123], [96229185, 89190170], [35552489, 6086309], [39447322, 98435900], [60229493, 23454823], [23258311, 39556322], [34059419, 72616969], [87213069, 41760646], [21936231, 60792030], [22193123, 79799685], [49922448, 25164443], [557470, 41088076], [74652422, 27462052], [47450358, 6240271], [74233003, 34633183], [56597480, 96899721], [33778587, 34123883], [27260189, 19352460], [1608686, 11182451], [35474263, 27325546], [17950560, 55837012], [14786338, 64345811], [21024394, 82072190], [70404976, 29682913], [98318989, 68392945], [5784379, 7541318], [57902418, 47360036], [85175231, 15233022], [23244058, 95357051], [85687952, 18979841], [66472501, 67485904], [43953723, 46449089], [5440094, 7966191], [2348587, 29577273], [4687262, 14959795], [77715210, 79549931], [43281145, 78452658], [70077164, 17487396], [2006943, 90260972], [24927705, 8929350], [36354943, 64654238], [38523701, 50439237], [67683526, 19846857], [85705160, 92896958], [71019903, 33928204], [2840241, 67322765], [19138371, 45122256], [89038057, 61817817], [55556382, 88016153], [77834341, 37486637], [96199336, 86333567], [80467049, 75310545], [19751547, 61949326], [24783777, 32910631], [62427085, 28708825], [78266910, 46790072], [60106595, 66104834], [75316116, 44904440], [94403899, 96128541], [79778873, 76218891], [1415605, 78638449], [14839973, 76830460], [75543200, 86760011], [96998971, 35752613], [67937694, 31839969], [29007350, 48702538], [28264111, 83997534], [70015477, 65433970], [93748331, 76657502], [41496241, 31248130], [74109237, 94010900], [4491401, 49952176], [95098366, 71688567], [48487828, 76211281], [39379938, 31870249], [61034251, 78591442], [55772910, 11888748], [428054, 16229557], [9691928, 13702816], [11795840, 23062847], [46627799, 91857663], [17213670, 71714082], [27592077, 34278735], [25697811, 24281475], [96598262, 87043357], [71370761, 75466124], [22441006, 11619983], [18593395, 98096037], [68423417, 76375244], [69716847, 23162832], [18064688, 22835875], [74626795, 80429951], [86281842, 28963239], [34152871, 22833016], [40787343, 52603579], [31455122, 50117822], [58829487, 11262235], [38596942, 35713021], [7334691, 90742537], [48524255, 65622072], [14495774, 36766657], [76591430, 54036590], [22379711, 91873478], [26156143, 29868050], [38312271, 77488816], [32320660, 35962929], [96445939, 42440590], [70855178, 36044584], [63118014, 29282071], [97519827, 11569305], [56936126, 60303894], [35151039, 70970600], [63322037, 4730202], [51631758, 58306619], [98788110, 9624215], [9085166, 66817707], [8039295, 4667598], [34390900, 79634198], [59992090, 12479634], [75668819, 62148289], [26278039, 8737336], [86219904, 45679567], [31474418, 36651900], [4976700, 14997668], [56847011, 93819053], [26768272, 56785844], [41074001, 3309968], [59321320, 83720094], [7395021, 27048980], [65650501, 77004440], [72599158, 93180021], [20314368, 73482101], [43411651, 27119435], [59854602, 25948152], [32380510, 16189691], [69398284, 88351422], [50274640, 67192779], [50424137, 57713447], [234828, 33420342], [23327472, 74179928], [87130658, 41939702], [5305754, 25536087], [55923811, 86499079], [41072158, 66756321], [7593951, 17520392], [8031554, 62786198], [78002082, 63798605], [3817957, 12361157], [17662333, 23043833], [66167732, 32043993], [85897067, 71779120], [38621530, 15350377], [60209939, 46110647], [36429113, 65988577], [61556663, 73248626], [29007220, 70508566], [37230419, 85576563], [27669666, 57009483], [13703294, 83333695], [21256653, 72765199], [45406393, 76436221], [73074385, 1950038], [44434980, 79133764], [28054204, 8837004], [90808159, 88293282], [15565327, 41220716], [62792670, 40747192], [75174408, 9938870], [93485099, 19313596], [80482283, 77423427], [21433253, 15819346], [67019526, 5408653], [68207066, 38490524], [81712651, 66370208], [59941201, 52525910], [75433846, 68944404], [29212763, 20698482], [43338389, 40767632], [33742159, 30048949], [29032430, 58552782], [91616361, 86566572], [4166552, 99454555], [68420046, 88313331], [45128955, 10640869], [73947260, 740458], [69988216, 69304645], [38434895, 67915744], [68935746, 36722403], [18950745, 94654935], [88380400, 25284311], [18795593, 10690943], [1622959, 90643383], [91488503, 25312769], [50599736, 34851293], [31254589, 11373944], [60395993, 74855253], [26345789, 44691005], [98137496, 97985311], [67167074, 52245910], [68663340, 95174454], [19058484, 41768302], [24862232, 63001186], [83983834, 71465073], [90549679, 5237227], [35216981, 79298522], [9013825, 93100244], [33316363, 60473440], [26205653, 62877021], [35239276, 48335772], [47268323, 1648647], [94716049, 16818614], [65943574, 88520806], [58975204, 56732868], [43698517, 28656721], [18270324, 41831486], [81077832, 77615040], [55253531, 2447033], [88091347, 17407145], [52891956, 39757592], [7887844, 90741822], [98405403, 81123949], [16578301, 69731127], [86553710, 81812914], [98169261, 73097948], [36903490, 32246385], [73959251, 56317626], [99880711, 88078577], [5761833, 4100064], [40343889, 73883893], [97482434, 27202537], [13210448, 39307635], [71265906, 24147745], [5580153, 88124382], [95044361, 39519839], [67037655, 39065311], [24010364, 12639518], [57573517, 25499411], [77584176, 17729074], [83307722, 83926769], [60502464, 56911771], [19016240, 28758150], [32701622, 44642093], [20078678, 47696569], [95947505, 56907596], [13482787, 66591320], [95574368, 32053163], [76618217, 55436395], [346514, 37861385], [46678884, 13478622], [94862961, 75454737], [85649369, 86994680], [78414751, 53606159], [12755391, 14023017], [85021114, 22440892], [85668207, 89489778], [83945829, 19372124], [51907999, 53328844], [12519603, 858333], [29568029, 6766398], [21431627, 46743863], [65616235, 6202693], [27858003, 33904541], [75943652, 95797650], [63381085, 27685213], [77861232, 86905738], [84523643, 99554037], [62880076, 51353293], [89191497, 85069704], [67425827, 19596042], [30757729, 64600249], [67385583, 84258941], [23737107, 42112612], [63711408, 88554689], [43122105, 90751941], [91131043, 75418643], [18268042, 27121594], [34169958, 50946240], [45949773, 80410694], [27105326, 85605852], [43828869, 57998518], [9400959, 77914924], [33637014, 47291006], [57447370, 27542296], [22702887, 46448317], [55366956, 13912624], [10191842, 38838082], [44589091, 71122741], [62870231, 64359996], [89729858, 61917953], [23789532, 2518371], [61456153, 1310346], [12126447, 2426038], [30832376, 71675108], [48494101, 78015808], [60340405, 38991594], [10500890, 99870006], [86194237, 26713941], [8134068, 28837570], [99873855, 82108620], [68331614, 99693135], [83449636, 26541896], [35551206, 25268386], [73384032, 51459756], [81412176, 17108821], [54815870, 74004936], [10980021, 68324465], [6012021, 74388136], [76174781, 80619481], [51081315, 32405773], [23299559, 2232464], [36476880, 17632933], [5301520, 67849958], [24025816, 98678855], [61353831, 74174486], [83310768, 51245677], [51271603, 59931750], [77054440, 8151658], [43137658, 48054536], [41264270, 97547042], [16020359, 65275714], [32687311, 95291512], [3515111, 76332707], [93428975, 79679498], [16808255, 42362916], [86277989, 28114048], [93204971, 66089843], [35526220, 91764811], [62595316, 85506592], [76916820, 3842574], [93512620, 18420568], [92112170, 59093513], [62658544, 61774187], [42621186, 78356903], [50615137, 40627667], [47540494, 251946], [71006745, 3056897], [92012640, 38176536], [33801218, 45455608], [86432043, 26427189], [94071832, 12044758], [55233669, 74875488], [6964570, 31488649], [47757111, 1299604], [28072136, 48393514], [28993653, 93392744], [41019644, 87736247], [70955308, 37976475], [74018637, 82775157], [37398695, 2496308], [34062958, 87332468], [31347027, 71249393], [70813268, 24496703], [76301629, 3976136], [28886970, 40979329], [9148681, 47066969], [23032817, 17335996], [10133497, 74862046], [78361292, 77157211], [1011981, 73034387], [72894364, 52337026], [14927512, 7851402], [13494162, 31665914], [6055869, 13485091], [88701122, 18988516], [76092604, 17082295], [51277099, 48221025], [76609462, 17051071], [11997293, 26100196], [36867376, 13261844], [55612268, 20339972], [44128784, 50554181], [66712798, 39888565], [33937823, 85017474], [80574823, 84115885], [62537075, 33135635], [98984318, 45778146], [17920473, 20117745], [4278715, 11495371], [81556951, 3247431], [26184302, 71020710], [41105282, 34163424], [97591510, 45674153], [50571329, 56864559], [71873829, 62274589], [11350975, 13783273], [10946202, 19280495], [14729118, 43437869], [61000182, 42904056], [42338994, 88444728], [2278074, 80892097], [96692165, 30394144], [65810748, 23267888], [16376923, 46279520], [50793582, 12762203], [81087682, 25167225], [44992033, 4891437], [45063814, 42688094], [87711432, 45070103], [47891537, 75636359], [21963682, 20733974], [13738815, 16467223], [21584934, 57448965], [23345052, 61199028], [37057333, 80907888], [41882307, 18948765], [19245312, 31031769], [84692519, 41663661], [79891724, 27770826], [17135494, 51197848], [62595362, 69285502], [86092172, 33320008], [18130856, 12661791], [44031452, 40408591], [62831665, 39674946], [12521506, 71839023], [30103029, 5736216], [32899353, 47855417], [72096721, 36374393], [4906904, 87354301], [1946170, 84901914], [35276904, 93478439], [95059282, 182130], [63369439, 49534945], [7510229, 19078637], [84559348, 75213307], [19741766, 27260735], [96997780, 5566903], [81983520, 50765817], [71064850, 4559946], [59533786, 34502403], [60472529, 35739550], [63537016, 66194733], [27465062, 61196115], [55611464, 98852497], [32509922, 65617178], [55575214, 99152741], [64119786, 958478], [63273801, 37305136], [87148238, 91827403], [1138044, 73164245], [20132346, 16682180], [99365656, 78016686], [16149239, 55666777], [58484651, 44049814], [37334105, 60311796], [50091001, 80656797], [33332629, 7957904], [97210197, 86639107], [19528812, 68424644], [88772164, 72458458], [82779453, 36821162], [73812492, 42973166], [79836269, 54427519], [20750659, 34434838], [44190, 89342413], [29441825, 73073920], [16356661, 33700307], [22292494, 43402197], [7432391, 23588964], [72711520, 65211722], [3769968, 98281430], [4448343, 10282277], [46600433, 86795936], [98312124, 57576262], [16614869, 15160846], [95207381, 9799426], [49970324, 35902166], [66512165, 53520266], [72045238, 73251665], [54818114, 72524919], [8058418, 16969712], [23746299, 19956031], [6210367, 83394284], [96408709, 84348024], [93917104, 1618626], [97297390, 93719122], [82943336, 48675586], [16892699, 60141090], [64736706, 4115637], [59937551, 64147187], [66058790, 27924306], [72205602, 28668922], [43525114, 46107863], [44761123, 3656942], [96916173, 36922681], [3197560, 95688860], [17802061, 77973955], [62556425, 647461], [79108285, 75114420], [76420582, 71735852], [49108618, 42444668], [58875713, 89933557], [54591969, 65242446], [64485863, 65233957], [68787955, 93033549], [83751364, 75069607], [12719456, 22161153], [59335822, 20110809], [4728775, 489255], [39022360, 19317166], [28356560, 9301426], [57825574, 41925069], [76051593, 25374934], [16430117, 64936021], [37616596, 49226612], [36623858, 27427371], [84020841, 79264486], [60942883, 26088200], [26966712, 48403764], [57700095, 32388665], [42950050, 37617401], [1976806, 62901683], [11819396, 86896224], [92186238, 58241275], [7098375, 23474358], [16377255, 29463307], [48877610, 22821999], [58945034, 57193884], [98501127, 80286027], [95164288, 2167627], [95010732, 78861983], [49773554, 33052558], [17265069, 86220180], [55720708, 17422522], [54069329, 10011562], [38270067, 65754384], [77893821, 53018302], [29513756, 44194333], [77701764, 55419110], [48690004, 85793518], [73924786, 58873656], [74281861, 63407738], [86972779, 66407813], [52261574, 88268205], [42178886, 17717433], [13870807, 63191989], [26644392, 92817218], [85202401, 10860839], [16875718, 60870738], [86408172, 55790549], [66092250, 94520792], [26328602, 49645713], [94211485, 54066806], [2356737, 58889809], [52604339, 60630012], [33704415, 44102667], [46541569, 51619001], [23690498, 31686389], [67867797, 41214198], [6804764, 61702613], [28013422, 23718811], [88703823, 91511218], [76579274, 37502196], [91694428, 66436384], [14598178, 23091381], [62201144, 52651124], [54594465, 10951453], [27429667, 80421981], [68232699, 56387452], [54497065, 90744781], [10567467, 84010032], [76357659, 68330157], [2191542, 81029742], [22390280, 83971664], [69130844, 49113791], [65362815, 65431973], [83869660, 65617018], [7019764, 30226679], [45043737, 70887608], [53696932, 14434652], [17606173, 73232442], [14386888, 10223431], [92621298, 17669340], [79652029, 44770010], [69905644, 49361775], [28081623, 99272063], [8657171, 59959746], [17712812, 9378472], [46305183, 11295467], [94508405, 89698700], [82317504, 24374900], [14453647, 26640806], [21823136, 57934710], [66825395, 77004196], [50491689, 22368957], [53278435, 52790210], [31471424, 78405413], [79810873, 46764854], [81310824, 45454319], [61904954, 72418999], [66227966, 71389820], [1122907, 19931257], [16997229, 33798437], [59599298, 19240500], [73413686, 48644722], [90674134, 33598112], [3209162, 31408377], [98135603, 93008374], [70417086, 98250834], [40187067, 6403517], [71383324, 73601139], [37661077, 67835164], [71902638, 30412975], [70635032, 84774166], [31203272, 76796574], [53851035, 33987068], [56741152, 16685390], [76310138, 65823076], [52642041, 17944803], [93787109, 94739886], [16200675, 2667754], [29140124, 3291954], [94696336, 26886193], [98297219, 98287995], [63926432, 79352091], [35290840, 96408160], [68118683, 97662957], [55118863, 30506045], [55994825, 39046916], [51788004, 93056221], [18268594, 30935236], [93546869, 12880402], [33595712, 86056075], [30473694, 5186935], [50948804, 90422110], [58139400, 12305601], [52954038, 52643787], [24146656, 94545984], [33963372, 49782583], [4857119, 7750141], [27531158, 86304436], [50534010, 65845962], [9664890, 23717331], [92998379, 41780532], [88202214, 95928852], [83512066, 63643604], [44279053, 50713722], [33123423, 91384248], [45545111, 26990676], [37396968, 15568688], [78052156, 59456263], [67281293, 48934484], [67802276, 10891023], [35022191, 91567273], [29233094, 90857859], [2354096, 85615074], [18550312, 5985916], [15126269, 32651811], [10541885, 61708973], [22653115, 48755695], [94756705, 5853507], [75042240, 28528398], [32919495, 4426675], [85101208, 33716266], [34274952, 59438119], [2561113, 11420398], [61500709, 9909271], [15626816, 69648986], [49095004, 20497987], [89080164, 1963688], [80234579, 68095085], [24821681, 28411545], [63041601, 32539101], [86326904, 24695066], [35598746, 21548457], [84398462, 54438100], [82296567, 54847842], [22443805, 90806570], [5465867, 91128885], [78384634, 8764654], [86343652, 64858609], [42432664, 94351942], [24728110, 57518620], [82458252, 43626774], [11950348, 12983474], [70690133, 3205923], [10238004, 42815368], [4129519, 76121069], [18489842, 55376328], [3164317, 84451739], [49562931, 71281636], [2412222, 88074491], [79844782, 70631072], [43071100, 42890534], [82343548, 19193794], [75809937, 74267366], [85224778, 89889638], [62186322, 72095951], [9817537, 17379049], [63253221, 23099187], [51283798, 73151912], [7461904, 95259599], [87208018, 22281024], [91318519, 36642791], [22598794, 8947946], [78047488, 65290177], [8491864, 56521160], [73335526, 25187851], [23898297, 94446821], [41265298, 21243148], [93656038, 88662705], [8774427, 69502454], [43397088, 41964865], [92325453, 38109099], [6493909, 74139879], [28355450, 48053410], [46577720, 21176589], [85837504, 97672406], [73045495, 79636141], [84268498, 76414145], [4948091, 1767519], [83021100, 91619993], [18355995, 65519571], [60645038, 75049514], [89718757, 80378216], [55204729, 23484057], [76849244, 4878782], [31688993, 39478746], [31800616, 20637350], [12186413, 24153503], [19675929, 36142201], [20979813, 62344000], [7703833, 78004595], [72386441, 96268455], [95487954, 12762894], [75832648, 38295031], [77437732, 40419418], [63472814, 68327427], [59166620, 22665393], [56191537, 92790237], [293278, 37576370], [58957975, 13511169], [44975701, 88573832], [98786621, 67197937], [78116713, 11894476], [42229362, 97243646], [68666559, 14471048], [78925306, 26583284], [58344728, 50625593], [57273594, 17920323], [3603873, 62454473], [50988988, 67835988], [38249700, 89814375], [75659641, 56411679], [15367755, 11960890], [25914913, 17429527], [69929417, 64607826], [25506234, 38935167], [24528950, 55639541], [35393203, 80706975], [91031331, 60071792], [68093635, 95808126], [64637222, 5389725], [75478251, 94384799], [68965020, 64552233], [400586, 29479240], [30465382, 59958724], [25920432, 91904503], [99273162, 16431929], [99945620, 54482220], [40625209, 92882586], [57491193, 80596615], [23337608, 52101792], [65784747, 65987463], [41716100, 85036230], [36258172, 80073963], [57393635, 91866512], [76281793, 59586499], [69999804, 80881191], [88538678, 23872016], [67248472, 77835824], [50195068, 27066891], [39783785, 64699649], [58330325, 37872713], [23571496, 28425327], [10000596, 81872032], [38242666, 62056175], [85615932, 88727878], [35998861, 85572830], [58866070, 61624597], [606278, 50781284], [81295995, 78872267], [66014305, 32143783], [16488749, 82853749], [27655657, 28348224], [86676119, 86942362], [37592064, 7547089], [88380537, 85828493], [18074514, 78530504], [83869128, 55738282], [55482515, 80068615], [37218054, 14047963], [24703021, 52383144], [61366070, 31260340], [22690096, 61288406], [63105694, 47002938], [9700575, 10753127], [95712039, 96484172], [85275143, 27783754], [86808516, 41395040], [4822831, 29952273], [81805253, 92298425], [96009347, 77694139], [16531219, 8419260], [73996501, 11461325], [99531815, 73687319], [83053011, 19279475], [97473447, 71233488], [34061483, 92930427], [50488390, 42363821], [71887558, 9337424], [32664874, 14127667], [49032870, 13702678], [43221114, 22670557], [45867206, 68213509], [10040695, 88885620], [97691097, 78480806], [46759777, 94416409], [94224138, 43265017], [43952151, 83953983], [76142303, 9072214], [22419002, 35155584], [32892241, 37179729], [21054617, 8557040], [48420672, 1802771], [25650170, 2554195], [23646063, 36262469], [8197966, 1004963], [67822294, 3157213], [64941330, 83506818], [88930568, 24410820], [82170023, 32503831], [5487054, 79472582], [24407584, 31117016], [13841583, 66250798], [75236294, 22250324], [3137747, 52881960], [40898546, 98383803], [29510548, 77717897], [42387316, 52275651], [5198088, 72383856], [30149372, 96277723], [43269236, 4820064], [55685555, 35335749], [95130506, 56918968], [74479019, 52699739], [53180831, 32382012], [31571706, 20704876], [59772118, 21423323], [19453927, 4165452], [82413007, 35601889], [37181811, 30954442], [59197500, 36609381], [35468064, 88795341], [78072424, 12844183], [56881823, 87692424], [35248642, 25675209], [54330813, 13071786], [2407937, 4366018], [41918416, 92597991], [47061730, 31785908], [87740768, 82384285], [2973985, 42769566], [42142756, 18189850], [43947052, 62429400], [75092975, 54997320], [29012824, 16987892], [93093234, 19499328], [74233787, 80144571], [17930460, 90457199], [21481988, 1686280], [52517452, 5479525], [60128801, 92812438], [63615672, 7458646], [67665304, 17276382], [94421375, 75054994], [50418905, 44966874], [16064970, 44939858], [20474570, 91325460], [58406289, 97365914], [45146176, 41481248], [3288122, 74327429], [55584566, 93936582], [59936399, 36382782], [98757318, 71778467], [94033714, 17343868], [89920232, 68650665], [71153584, 17900300], [20260658, 56546316], [73336948, 81374744], [78617793, 76000677], [30241128, 78470751], [18350954, 7585609], [38806360, 52750725], [13059006, 48282174], [16709956, 21342965], [30213627, 6987742], [7875631, 3617386], [50718605, 77037566], [46134459, 13553985], [13067620, 47371775], [33744730, 17844794], [35890732, 93972450], [59979668, 76745122], [57971261, 69605400], [48846984, 9356874], [67221804, 51626362], [41636561, 62233195], [38799591, 60719323], [25344335, 50080661], [30975857, 81852473], [54015210, 44843774], [17747917, 76011681], [61946334, 15604848], [34733936, 12778429], [85206273, 33621045], [54655758, 32646520], [32815587, 15586148], [26219211, 58774529], [69726378, 30908907], [8368365, 33324591], [57451807, 58251306], [5926053, 43823988], [56983772, 28135346], [64861369, 15454684], [85168861, 96893442], [81824932, 41283966], [75702646, 34884177], [18740376, 57536492], [97392695, 40703296], [55643394, 52861556], [15110975, 1714619], [17704466, 79493330], [55426712, 23491001], [69508471, 91095956], [33911201, 5777733], [82610171, 15194979], [46183746, 92243188], [86024278, 31900892], [35326264, 45424354], [31339383, 21706790], [4809031, 67534915], [23822322, 41458684], [65915923, 46148598], [94008004, 86540837], [28116881, 54475698], [66515633, 52320731], [24818586, 90844458], [49709487, 37339187], [75771434, 89588797], [3343243, 52662992], [57277529, 8745341], [40001607, 86182833], [745481, 20074724], [1849306, 61081144], [91375866, 47294856], [74491641, 47123995], [5570076, 98607563], [66089525, 14802829], [73014488, 37649140], [27549512, 57256562], [8596653, 53133295], [52721313, 88392773], [49640929, 71169251], [84003357, 98440419], [37249912, 83225198], [93383889, 21927661], [40511202, 36330537], [52119008, 1680179], [64640653, 79702863], [89596978, 20336910], [17774606, 58907297], [95423699, 25849093], [11444341, 26118939], [39823562, 19849541], [48769641, 29599732], [40358203, 50437246], [39831515, 44602064], [46403808, 53570498], [29900635, 12582092], [107760, 54987727], [82583882, 64086618], [23721428, 26764839], [43642004, 41067724], [55080901, 78735910], [70137767, 9446066], [84379010, 41318396], [45689348, 36673681], [30514258, 65965707], [6063774, 8377432], [6186349, 98505059], [3903437, 16080137], [6295424, 36494537], [15243251, 80311598], [46122333, 86280581], [73219156, 32790359], [57899331, 36493636], [29830434, 20212852], [91994516, 85588933], [11478053, 63637137], [5192957, 31728452], [91368686, 82285917], [53496972, 49225033], [44988508, 90173007], [59893899, 20095270], [18286524, 16772083], [4303768, 82535951], [7483767, 54250004], [15222212, 66699024], [32412164, 32161856], [9712551, 89387764], [4795918, 69758895], [56965187, 6513819], [50246311, 20527091], [27589552, 48447286], [31969019, 83049411], [644628, 59909783], [15513667, 63657506], [5900743, 30970217], [57599860, 68196201], [95611926, 94995982], [88684193, 8618465], [7288839, 69281903], [9467878, 15341480], [53730990, 73044717], [64749849, 10476145], [98972125, 68826088], [12345530, 22908665], [96137348, 96677364], [14343467, 32643377], [14838411, 5353878], [53379659, 94960752], [58514547, 41207447], [33784729, 59535494], [85930783, 36643947], [35934673, 6893782], [99115565, 1567237], [43137578, 37147816], [84049876, 77924112], [86993598, 97079741], [83188847, 79564485], [16235651, 60070825], [76989742, 93190774], [76096051, 13602622], [46929015, 30696712], [4545195, 37541463], [27366307, 98161572], [69874184, 37490945], [2152834, 96224063], [17687725, 39086919], [6750814, 80902440], [24352987, 58425333], [21598824, 26946629], [92709126, 50215104], [39303025, 40103012], [58563468, 24445062], [43249838, 96900873], [58383670, 68287050], [26359051, 58546540], [11390868, 42083041], [30877694, 33031537], [38478421, 40895371], [14833434, 44061360], [43441566, 66928935], [80950274, 10792518], [28893541, 80155801], [40653803, 46161906], [53271556, 23572693], [95473006, 92051520], [7332565, 78792931], [9221966, 65577196], [95314452, 53789147], [52440271, 44018272], [73143117, 52297547], [73371721, 55297467], [25992833, 80876621], [59091408, 36100781], [48131668, 1196676], [62844658, 74312208], [56402231, 45139454], [31152997, 69943529], [67404929, 79567629], [71494785, 71852409], [3976248, 28370370], [72291260, 98920561], [79393650, 11634565], [64137602, 65448910], [8909102, 62207102], [55533944, 33866195], [89727864, 92349424], [44661378, 70845606], [4379949, 95454508], [77498491, 89534610], [78198556, 33145182], [76760201, 3260441], [9884030, 34975867], [47418199, 70640291], [76090104, 8113967], [95767477, 61059092], [32954126, 29577402], [64319000, 25869703], [38997214, 10171883], [95302651, 7938178], [6094809, 46881108], [7281763, 94986560], [95231016, 19707681], [75777570, 66194650], [29798966, 26751238], [45195634, 1154904], [22563960, 71400197], [13849557, 31290806], [21933226, 42486832], [1740029, 4655431], [70589469, 66645211], [55593839, 26548356], [66780752, 36570132], [12359214, 24066734], [39343409, 89926887], [13064406, 40842628], [38161744, 60007162], [68093267, 20295939], [77617804, 44235475], [10337340, 11825554], [17218435, 55991488], [31659377, 91677109], [97273820, 44248264], [40718298, 2456856], [55448914, 9295373], [77806308, 81301338], [50012131, 3858744], [58293311, 99630626], [97508113, 63065681], [15681648, 36142248], [18361428, 3122170], [85852145, 28094707], [35909154, 73117681], [8870392, 65425536], [85680290, 15262786], [46520790, 96646139], [98064954, 53814828], [95199869, 20151550], [31518916, 47627492], [92549868, 2945396], [56487331, 61773115], [22058334, 89547287], [83406934, 39704316], [97835726, 20955616], [88799065, 2846358], [36055906, 10037385], [35798833, 52810081], [46600437, 64282648], [98768069, 51538375], [86633514, 30430486], [59975536, 81005143], [39438878, 47087165], [88677463, 53995878], [59610803, 97647052], [20088799, 90551242], [79560712, 20254252], [32251008, 56883535], [50776674, 66262524], [23256654, 34751822], [72650698, 22283573], [81335482, 69490820], [63901829, 64257405], [54019592, 11344860], [96030744, 23524409], [42168204, 24024813], [39653390, 83502219], [81949153, 47611430], [45160261, 81873403], [93012903, 56525533], [30639910, 38005626], [93448577, 61950357], [25437850, 11839353], [28976473, 67081799], [96064486, 40836832], [54948283, 11837802], [37361098, 73900838], [76379671, 5525674], [13668853, 44741141], [8359816, 81617289], [15382769, 8215455], [40454726, 97897890], [44152798, 98255302], [57245363, 35714519], [54552898, 11058534], [54880016, 94318594], [99977364, 58313794], [76690428, 85648554], [52523058, 9239395], [46808101, 78463280], [1415916, 16075053], [33690859, 22434218], [51813606, 63555558], [56621214, 19766847], [53462608, 34625833], [60664302, 62153459], [8559279, 73264836], [70948778, 30972854], [18024284, 98742278], [82167159, 64594105], [47942393, 39685737], [34465006, 13526801], [48251867, 8187339], [40473995, 4729270], [26250844, 60729615], [26636918, 61769750], [64561873, 59799433], [75623952, 42593977], [75479073, 92330328], [86297151, 49127702], [19024739, 76763915], [37144131, 69198954], [77324854, 35977264], [46701783, 58246167], [2765197, 18343537], [54744954, 1397966], [68415906, 40710947], [61688310, 25842974], [99771750, 52205446], [85733797, 79539474], [31032984, 30011075], [35675743, 81312405], [14529318, 80588011], [50902503, 63366906], [40351282, 35658549], [27671012, 86312387], [13765912, 98840272], [61483170, 29012990], [93060828, 19531303], [49314520, 88654799], [31562124, 63162080], [57901630, 64422019], [60607374, 96530221], [80725827, 68165849], [78826815, 50491138], [87861609, 81838029], [68183122, 72832181], [89220562, 18103877], [77508077, 5241928], [13638184, 32568784], [85772572, 54658944], [30781023, 82402926], [871658, 10193653], [88906064, 27678218], [64216855, 14877101], [62616022, 61387179], [51603229, 79298460], [26316823, 3967725], [48899206, 42597026], [3522700, 67002809], [2049250, 65467265], [63281255, 64376804], [63572647, 10629595], [45802423, 28095175], [34296107, 34656038], [21562576, 38454825], [11755988, 12768997], [76335200, 73016116], [5357461, 37809511], [19442774, 9245671], [51332263, 77802336], [92568669, 60746531], [67779220, 4644122], [90441954, 80789805], [74058349, 94378212], [6426522, 70926359], [60185593, 34849563], [85091869, 88364626], [7389465, 43482060], [96493919, 17548071], [61952329, 93001297], [95885472, 42997479], [1335553, 50323043], [20002332, 14192387], [95310679, 11555092], [46956969, 89110741], [67733648, 58406526], [4914161, 63728443], [46424860, 39565205], [52609910, 68634889], [73168635, 68355536], [63466974, 45768837], [65778557, 90032648], [34682273, 82136618], [71199356, 14307788], [75831726, 46617379], [55714731, 64458921], [23563270, 20148080], [93211599, 5002328], [41632486, 8649149], [59574524, 14424512], [7834796, 88604404], [3580433, 27990711], [47682830, 81613954], [30298297, 80354344], [14228588, 50212271], [44705270, 65868490], [16653447, 68718895], [53192546, 54206163], [31877024, 99031026], [18481947, 25290623], [51852989, 54096107], [3183630, 37361632], [27837303, 89608459], [76859672, 49377865], [50054904, 54100172], [70127136, 70135241], [19916080, 93852967], [55311547, 81341571], [40192277, 21191639], [72570380, 44480728], [13234228, 3221719], [36274877, 93843735], [89857334, 6159150], [52042333, 9027612], [37415547, 73221557], [44241865, 5114038], [65783751, 72743658], [86313666, 63290526], [35669366, 33177446], [34388443, 6187565], [53296738, 84154366], [11445675, 98945197], [11644151, 88017156], [27585648, 63856107], [4700742, 45751536], [2794338, 63178457], [94258582, 13948679], [94973617, 26625454], [36224107, 739746], [2093079, 93343634], [59146486, 44318370], [11493774, 86686031], [45202360, 60725597], [82635603, 455956], [83470167, 29108278], [72888176, 17831132], [86735261, 73499505], [77823514, 52285732], [34333081, 66614959], [55755675, 44375362], [91153616, 44680334], [50509556, 83242825], [72866216, 6022089], [60125465, 29230902], [38396484, 82079353], [1036616, 80804805], [1368351, 18313818], [19300097, 13220237], [24592997, 11705016], [19921795, 61051965], [63063911, 44217602], [31567193, 30575659], [67468812, 56219537], [82473530, 50231380], [16530157, 82379726], [66739255, 770428], [92643660, 68584294], [54537681, 85184653], [1338337, 83910345], [41463917, 56597559], [85564702, 40241804], [24397579, 92115665], [89059239, 47187368], [53588821, 95948739], [35286389, 28360933], [62240567, 49044235], [84087533, 639161], [44109884, 26495309], [72822500, 39226484], [71339636, 73634017], [47563842, 45738300], [44763358, 52121258], [29281017, 15076469], [90874127, 53941790], [8925342, 31016884], [4456006, 23745590], [90752389, 62163328], [37048773, 99057702], [42490444, 41221086], [83369578, 12399049], [21996336, 68707046], [70470503, 37889499], [24830590, 51809628], [67331500, 38761024], [62522032, 48373747], [25807161, 41415264], [12524745, 25976532], [60269, 90279863], [20372274, 21382358], [78515710, 49405360], [64712661, 35727298], [51020999, 82922685], [66420878, 71771455], [48442140, 94262846], [32952608, 89701602], [88205873, 24906680], [78215252, 65611087], [93963164, 68887500], [47864073, 58794035], [11115968, 42926694], [34171753, 43506049], [97998420, 6518691], [93295450, 39438347], [91266732, 54221393], [31954046, 56687342], [36815590, 33313581], [82882523, 84053956], [81326567, 67237249], [54347153, 78164426], [58203701, 13604161], [53901032, 24832685], [45966357, 45301179], [7031724, 63645062], [65430764, 56323512], [69959440, 77604198], [96585196, 59916687], [96574302, 89079146], [20865596, 28289699], [72452319, 76576527], [15439880, 50694401], [61021717, 71024482], [85607074, 43632546], [96051891, 26769576], [90107804, 2446309], [93957412, 54818506], [1621320, 18939803], [45174516, 14186748], [69487776, 47871264], [32391021, 3100189], [94358842, 3252487], [7387433, 70512629], [45538674, 88494351], [58974344, 47953762], [58121485, 4328773], [34477803, 76642967], [63415381, 86494553], [38840952, 54373256], [67673229, 76034978], [76571030, 99755406], [6167355, 22161397], [24090508, 87250322], [18382682, 93379289], [72146762, 66656772], [89347197, 37655556], [47955668, 43159647], [45197772, 47808730], [87824880, 86628204], [84924959, 89225858], [60875225, 26846108], [9859950, 36312168], [34379320, 65868663], [97877119, 81851277], [65501866, 54783551], [94243176, 55704245], [27950764, 33192848], [32955078, 29191480], [44791027, 54666397], [68932356, 19051849], [15252532, 84483216], [75663094, 93909389], [38563414, 27657194], [87705315, 67015083], [71575598, 91357247], [56188368, 17008799], [86609512, 55007611], [27191556, 52853818], [28209598, 59370449], [78261845, 4870130], [7046030, 83507775], [58592468, 12752876], [18574272, 15089516], [12497449, 95081920], [56093858, 88872705], [27334896, 70141511], [13282782, 8275246], [34813195, 74905178], [21631147, 16439437], [56449551, 80137066], [61136239, 96422770], [12576092, 91510893], [44656221, 18950470], [42948600, 81715763], [32207592, 28801745], [46931846, 95920790], [61465798, 97586370], [41460076, 50448751], [80151505, 42193786], [19906150, 17565384], [88581073, 92127927], [1374090, 60645502], [27799683, 39346867], [4452413, 92930660], [38123049, 36891093], [16007989, 24643900], [47703329, 23264192], [42370971, 99269286], [49858651, 41518849], [601321, 84939317], [15649897, 81905316], [61351200, 4028922], [26893238, 6934273], [17442326, 14048842], [19995038, 21147989], [35545746, 68315203], [59549086, 99402524], [46164784, 61858065], [18770951, 8445103], [14590868, 65845434], [42014349, 66361228], [36618953, 25826536], [13053336, 90605746], [11485804, 53036573], [30457974, 80331021], [62901670, 56837837], [78285426, 24316236], [42613080, 79658865], [91408121, 63457565], [54625615, 72504761], [71941693, 77310947], [39245035, 75596234], [38677001, 66976003], [62258592, 770407], [14859661, 2902457], [68219237, 63938827], [8264167, 24239166], [76714633, 83824730], [65340049, 9216589], [97120278, 63804866], [96218756, 38453172], [45892425, 84189105], [16787002, 95105998], [21611402, 47881966], [28518240, 54318755], [92542177, 76430641], [43353154, 85601108], [59888559, 68452521], [48959785, 20621435], [75089404, 54210887], [85536893, 72026996], [51196080, 84558798], [44742855, 83963319], [31801830, 88982751], [24242990, 59237730], [55016505, 7911501], [29065489, 8891066], [51402006, 95619142], [35144611, 76056460], [86504188, 83389721], [35403495, 54846034], [81129593, 75627959], [33210731, 21161867], [56094833, 26543285], [68330982, 7044022], [20074019, 37598226], [31562616, 40211134], [81281797, 112471], [83243255, 33430530], [80365690, 70093970], [97437427, 57522648], [45210448, 75658954], [58840263, 29114120], [69868715, 78574820], [77424909, 40608569], [4469109, 69668281], [37019084, 34689591], [29919505, 25978923], [10177096, 5923590], [97417775, 29347871], [75973857, 86058226], [46467747, 62039138], [73592277, 61165140], [64088843, 72916219], [6088419, 72453468], [40083918, 29717908], [98180623, 2433292], [79863306, 65025295], [94237023, 73782431], [153222, 9651955], [3923508, 45200946], [32772525, 3329146], [49906203, 32869655], [40317644, 64221568], [637229, 5194775], [45031003, 78404758], [64295936, 22603269], [67759710, 68781024], [16485929, 16001296], [26247190, 68053949], [30522991, 14284268], [66582700, 63904590], [77367151, 8036775], [35089684, 75325730], [66283113, 58462587], [62548562, 52167559], [81032215, 35408497], [75301660, 19545337], [84231826, 57071481], [66917225, 1254027], [11750128, 12649208], [22991169, 60324218], [36599776, 88184734], [80838766, 51898719], [77095997, 40706473], [85672353, 18006276], [218891, 4776456], [93637709, 31413611], [53129886, 40431342], [74908482, 73205004], [14050369, 2392335], [53908879, 96012731], [93684735, 96141361], [21312317, 35037420], [76155782, 7993489], [64526073, 25102452], [49931808, 22755134], [73783758, 70247613], [83422067, 35454595], [25855166, 94739185], [46161439, 39618782], [91890088, 52327303], [23467594, 77824118], [42751604, 59414952], [25993625, 59529083], [47069681, 2393168], [50450747, 29428456], [69955863, 97941544], [98785942, 97554560], [55926562, 32383892], [96274252, 9694354], [77238131, 44888811], [50021978, 69649415], [18136202, 43071445], [32366749, 14683084], [85711454, 17770826], [75946998, 68434476], [6640905, 25791725], [2673694, 59200103], [65066031, 56016898], [24479868, 36933832], [15705649, 86458857], [77006474, 71006876], [58139716, 9808722], [58841613, 96476875], [40661882, 45109022], [78696175, 62788115], [86470463, 23186832], [92280504, 30375022], [63156403, 53813511], [73118043, 14344005], [62212784, 71510505], [21174490, 9653119], [54909607, 12695969], [99725698, 35354443], [54743755, 34652802], [35726593, 89836933], [85840495, 74777220], [73716554, 69241727], [30140015, 28726036], [33585247, 62483791], [89071763, 22156852], [89763316, 64069379], [34683650, 28855689], [41077690, 45956290], [83463707, 77913812], [94371564, 57668344], [61798068, 21761276], [19896904, 42603868], [54586647, 72277749], [13021685, 36731446], [56137948, 3294687], [18811369, 59295345], [29303389, 79078808], [59561005, 8812324], [73765696, 82581839], [20679848, 68433296], [2555240, 49185386], [90751692, 73823182], [37955635, 68797458], [8893712, 66413891], [5103462, 38966970], [48532290, 75907851], [53421440, 24171822], [81954667, 48729906], [45630598, 24442816], [17887219, 26885082], [65611570, 90218982], [88967867, 95602071], [68359184, 74795024], [18477476, 13145352], [24998832, 94272874], [88644170, 1665371], [75102003, 86761635], [80244075, 21698489], [76723196, 64688688], [43167999, 43949718], [99170943, 84611084], [69844056, 62422874], [85889683, 4199944], [71910110, 57995140], [66463114, 86278818], [94557148, 29155474], [98046423, 56860312], [49943398, 74916466], [28741209, 14493614], [62932607, 44616100], [63143127, 6557243], [92981148, 5666117], [6035523, 92616656], [35329951, 33881402], [93170363, 46872066], [86187189, 30799993], [45458426, 53739303], [89822701, 13153718], [9950431, 44370257], [24124472, 40179680], [31022052, 96532361], [53610968, 87451323], [71779610, 13099567], [98904717, 88809302], [47738844, 44202743], [92961599, 19822137], [52176493, 2217405], [83790045, 71688818], [13939187, 92548837], [25649198, 60621760], [54399723, 80282764], [1223578, 49299088], [3926835, 9928158], [63854368, 60032607], [18602024, 40295782], [50683735, 64854322], [79419532, 55952357], [53206649, 41746329], [61959718, 2496924], [24763001, 78601619], [3112445, 77559453], [30309712, 72893626], [20026998, 12922308], [10628147, 72690833], [97423818, 75827593], [45767446, 88590378], [85861878, 30722181], [92942883, 56219240], [91844406, 47896342], [4894710, 6292146], [68471982, 46376957], [26471770, 83980996], [66484430, 56840962], [89612198, 71381890], [54045507, 99977128], [9072062, 21070482], [37329237, 2951651], [3638963, 70675935], [81683015, 25222601], [4579912, 1371808], [62677231, 16455826], [32805327, 11943407], [41972684, 67846569], [61266389, 5860931], [77313691, 60991433], [13616838, 84124227], [82154878, 55198505], [838909, 4045741], [4045742, 15750203], [56706587, 1630153], [79618445, 94089762], [53991775, 54828409], [8391451, 7087290], [87755313, 35776084], [97159536, 22506059], [12729708, 2680130], [15880984, 86634166], [98346803, 37936746], [71833268, 30587630], [55793411, 85249029], [89168350, 64661919], [68096349, 4318333], [24742497, 9337007], [71832264, 48626009], [65281364, 46808775], [25930049, 99743377], [30932039, 21742875], [40006673, 38642279], [73641674, 538387], [38978601, 73781992], [13676838, 49287785], [74726543, 68150003], [70946179, 33512225], [75862233, 13486631], [63499823, 4329658], [96436445, 1797579], [49182110, 55835277], [30470057, 56669807], [21780098, 14755228], [77702553, 83225140], [76986446, 68506440], [26643157, 22725331], [84196079, 91844045], [54409873, 56330980], [57253007, 82889619], [94146344, 73942646], [27046731, 68610733], [93596577, 54506072], [18166240, 44778604], [11116829, 72927162], [45987218, 57807450], [44307756, 61206377], [41994343, 87655169], [30882461, 26762436], [45772343, 75261380], [61129030, 96809531], [60698632, 6802342], [67076982, 9793235], [24500582, 49537802], [75461566, 55878219], [97195687, 71105711], [55682012, 40136915], [66025493, 36165680], [2976371, 80520939], [39114254, 69543713], [10062765, 81798638], [1768436, 6921010], [86638724, 91396282], [6060283, 25262424], [37726907, 60711446], [22449780, 51989631], [14024471, 42823395], [8340451, 33660370], [85622517, 19000111], [15520461, 28327843], [79326296, 188657], [91903494, 66454933], [60472210, 91531588], [60067356, 16858483], [26988069, 56854893], [33828182, 37627480], [54159165, 25124643], [13455810, 39308874], [80599305, 85557831], [21524216, 63041449], [81910782, 31245133], [13207797, 24929400], [89518522, 20637530], [18144434, 2283122], [26861190, 71273167], [22105031, 39126235], [14205252, 71446598], [54013108, 59184437], [2524311, 54165112], [81289422, 79803572], [50225312, 30867135], [74468849, 84758658], [54731830, 89040149], [69722795, 82553959], [82465279, 30030692], [60927240, 34642658], [10199865, 77475461], [76857353, 96068337], [43246961, 30979988], [75521569, 83639919], [35271560, 39165963], [47182349, 62818136], [38007408, 59400902], [28385695, 50452305], [87240073, 68083311], [99657991, 42154220], [40687270, 33720572], [50857814, 71118687], [79953788, 39943915], [21146492, 63225338], [82071080, 80190410], [62392645, 11278232], [44818742, 477975], [82669637, 78696828], [91207410, 34392833], [52111344, 33655686], [46239467, 50728301], [72572447, 98382801], [89206750, 4750270], [48111684, 42694630], [3288466, 27778437], [78578446, 40417435], [53818192, 29155706], [84073461, 47307730], [14265290, 21228909], [17329761, 29604792], [22743743, 74775730], [37095054, 19500151], [87794724, 57952303], [47619613, 81844684], [10525101, 77236329], [62240853, 73264924], [19566800, 1908436], [17109195, 69375617], [57561425, 48770500], [60420228, 55022779], [44993416, 9035815], [15523680, 77543972], [84441070, 14134007], [36429691, 28569309], [28330343, 40903904], [2211570, 10819963], [92713401, 89813152], [13563238, 99280171], [72955309, 43200029], [98688635, 7042983], [92918378, 18078794], [55043315, 24155104], [87322596, 44494288], [52154264, 68440757], [28913032, 27372173], [72814176, 29592656], [17498058, 55781339], [51327747, 42754436], [5377561, 33901083], [57341592, 28740252], [37620530, 75154926], [65187718, 45713432], [49435993, 60613139], [75037970, 25762349], [71021663, 94279168], [12244039, 25432780], [681690, 69974384], [94535896, 24953879], [88225673, 33756038], [19262088, 17819630], [78716372, 93531692], [56562197, 79045926], [5870366, 77996209], [47651038, 57377699], [36911315, 27021525], [57000984, 67268852], [97996435, 4207648], [48446671, 27319741], [44166065, 20285479], [78743613, 18033480], [3242123, 77635718], [25399300, 43826350], [89706812, 15695661], [21758958, 32901942], [82610504, 77211997], [39438426, 62625590], [63536042, 96257555], [68680575, 66639777], [8096985, 45977734], [68461245, 30201481], [59269778, 45223808], [58330375, 57783276], [6969863, 48249557], [63344630, 20787278], [80364817, 36498626], [79817974, 31524437], [63720728, 82154710], [41710871, 55735726], [82444748, 4734327], [6632337, 34761075], [92273457, 41806621], [32881286, 33709088], [98485711, 76688378], [54663674, 43689857], [19891749, 50184817], [9556817, 85009446], [39222833, 52502165], [51223189, 75640836], [48922913, 37321160], [26038349, 17700379], [41948677, 93067578], [89967970, 89884625], [6240984, 74140403], [50778152, 23392663], [46253037, 35302242], [1769910, 75598232], [95610705, 73990234], [27282829, 5309225], [83648706, 34222117], [77696244, 73086969], [99283627, 98758615], [91623401, 21180198], [86661900, 34927316], [10722360, 30891747], [84728797, 40120827], [87070773, 30404590], [13366628, 79995286], [63165638, 90941356], [62871634, 87662271], [28061127, 79424075], [36946265, 32451999], [59467831, 88909795], [96479548, 29895819], [72716291, 33031842], [23210567, 38476977], [13333845, 55472613], [86630345, 80969268], [7131150, 55446058], [55575465, 45245340], [85833659, 74548543], [74567029, 25088011], [39880381, 12280253], [57346487, 6611076], [53680548, 7317065], [3762866, 96224363], [86105966, 90233338], [67108359, 73610449], [53707516, 51644468], [11157949, 47682125], [39907319, 86574737], [44703407, 79044934], [12027964, 93895283], [80178333, 59511977], [19698781, 55087466], [10001542, 86202107], [57715741, 25005290], [95440885, 44490473], [399737, 19004954], [5229087, 95895391], [75481124, 17170841], [18975881, 47811573], [70744055, 57248897], [64561495, 8002117], [92870077, 28201590], [70432818, 46696803], [59943339, 57083606], [5283356, 19764122], [30176638, 66782009], [74323753, 51485885], [72202072, 4962657], [92723420, 89571622], [3474808, 33443872], [83743977, 47852817], [4771785, 72004747], [31225328, 72612691], [39991698, 47887874], [66739255, 53439240], [29465058, 9846593], [78306498, 54744429], [3122641, 50496437], [59155223, 24514663], [1035206, 9860737], [7349095, 16926492], [91619215, 64186374], [88170897, 13452746], [97554362, 93647974], [78422498, 81672732], [18481502, 48954870], [84571379, 22608815], [29777058, 9165653], [3240237, 76861697], [45588572, 45203912], [4996465, 8277196], [24720178, 57634052], [66281443, 58568714], [20428296, 69885316], [72855866, 90447165], [12083110, 60119403], [28462273, 51497435], [34660933, 52160233], [25691358, 71522359], [62226278, 36573820], [73284671, 1968677], [22359003, 47376933], [55003359, 87375285], [98201671, 48502346], [22873564, 94665794], [76170961, 16561232], [54863355, 83477201], [82568470, 67327417], [83961092, 48096114], [50152711, 20025090], [65713525, 62964839], [8867714, 86630499], [12943193, 9792010], [28930754, 9560347], [90010852, 5086080], [99999269, 24191890], [89508883, 5731554], [39077572, 32100906], [82640052, 92624484], [81370475, 95582323], [36033106, 21257886], [18765925, 36407881], [50572970, 88534119], [94121578, 66826706], [90231341, 53279738], [32633461, 38313755], [62089485, 16655000], [75057132, 68756017], [12952044, 36610339], [61245753, 48689234], [56422250, 34751913], [33319833, 32443407], [7607433, 49051173], [58099060, 2847825], [37635438, 97738841], [12828310, 1845426], [56440510, 34590075], [96216094, 16554126], [50313137, 22560681], [42898778, 70586949], [70955743, 24548619], [89197869, 47285509], [2396896, 72336435], [37481635, 97054417], [46200444, 30576109], [12854396, 2839134], [18738172, 63216747], [89612801, 58639486], [4488807, 33624482], [36195047, 70531659], [61602734, 68339774], [61066932, 3729281], [14459670, 19542513], [21717436, 24448739], [821485, 1698439], [75855249, 71957763], [89387173, 10400579], [531245, 72010778], [68617221, 57782113], [23712898, 52983258], [52536821, 26704969], [9501590, 83474338], [21488797, 41885743], [78051545, 78530648], [44767846, 84866439], [13541061, 59237185], [69725047, 39930670], [38487595, 89712577], [42541619, 81938884], [8400420, 81994641], [87750544, 27852712], [69475080, 66983471], [68748937, 8104699], [33009163, 44869674], [3303973, 90258426], [25022285, 60821145], [11405225, 39004806], [57949628, 50742357], [73673202, 2286709], [9091025, 368410], [67551987, 78568152], [39552839, 8865045], [14422870, 39233252], [70485163, 58084715], [10789646, 55669493], [45927990, 81952451], [9557021, 97100743], [14159341, 19514138], [30386361, 95910484], [12048741, 40189522], [43981290, 83214209], [58329416, 43120619], [94756557, 45362192], [87657247, 7779915], [24393555, 1985194], [51946720, 41178985], [29010369, 21601784], [35973530, 37527536], [98380655, 3408782], [93129083, 48697866], [22272639, 10175714], [57377223, 91244242], [99868532, 47767404], [76881631, 10427682], [10065048, 79959287], [98271196, 10039640], [46188180, 18321566], [59880251, 49918484], [71677558, 41078593], [83045323, 88104537], [55356085, 89293217], [19208109, 59195287], [8302213, 68267551], [91460919, 40110276], [76600147, 71781971], [21121799, 53786152], [84933745, 37174660], [25375327, 79569816], [3024216, 47333255], [66544968, 10633463], [35255395, 4314905], [23730268, 58384398], [59642033, 62548066], [42109065, 32356577], [93958392, 85201347], [75126063, 54725084], [71904662, 22673731], [29347312, 36469484], [1512546, 31786359], [67977617, 91526619], [19838190, 64708457], [33204661, 95217034], [94430453, 37816989], [21365578, 26793026], [90655142, 64753670], [80309402, 9012323], [4105434, 24673569], [42611234, 10192055], [61638696, 88897671], [1131338, 50317108], [82687285, 58638060], [49572282, 63449352], [26038622, 83260649], [42902824, 54994763], [8856760, 83523636], [43575912, 85785535], [52964199, 26668521], [67067900, 28267262], [26296859, 26133553], [63760811, 78028555], [47952066, 54201024], [69878080, 89031043], [9370663, 61001868], [31882965, 88477669], [50834142, 16253461], [84142557, 60093274], [40610776, 76363483], [42366423, 87130685], [12867304, 18243961], [12901787, 90093491], [18533498, 55741242], [58497556, 66860947], [88951847, 86343039], [34132885, 60142849], [9962985, 86282666], [83506269, 23099289], [71693435, 29768353], [16464994, 30754673], [94554650, 53089697], [74171071, 11659723], [87939762, 37523159], [77491109, 4867288], [73019236, 86383543], [75354941, 49657891], [31039934, 3987948], [19871375, 68450403], [21294207, 16470329], [85696011, 14768383], [14851723, 43349766], [53563195, 38696088], [57635735, 41420027], [44420999, 92013012], [51113861, 4898529], [96823698, 15932914], [24275217, 98927829], [82325032, 65776766], [90153340, 13100230], [29165506, 43103620], [94000467, 29350926], [33543659, 7560401], [20953168, 27031843], [44066414, 41018557], [13829862, 59244399], [10838072, 34718404], [24779237, 22077116], [75198888, 97657432], [39529247, 23513100], [8428012, 12897890], [81673523, 68999570], [227991, 3282175], [23907393, 85110166], [32346524, 98664623], [66228157, 80316453], [2534613, 69495661], [45113235, 63643347], [26928107, 69050612], [890884, 79494303], [7058074, 72238322], [33818509, 19933740], [93765928, 50698433], [44212226, 2529557], [83124864, 13614640], [25587030, 75293524], [53463298, 2519521], [68012926, 83019066], [50436992, 48221200], [95160858, 72644755], [97370245, 96740333], [61702860, 712784], [8558508, 47176878], [68938323, 14115854], [18354202, 67653360], [6040429, 10751461], [92037585, 92470114], [50690392, 60476392], [71500445, 99829011], [61085872, 44072419], [2973111, 3843095], [94358574, 83242140], [17163660, 37209007], [3939919, 18315239], [11560869, 69683362], [90616708, 37187345], [23632316, 13038666], [14759102, 38267575], [34269701, 38561849], [17026985, 3294380], [57658542, 59688771], [10169841, 86409506], [91880167, 66149258], [64370567, 74686135], [664489, 40652154], [66986811, 42289224], [50182138, 78902353], [35548362, 6679299], [92496824, 90472092], [87002897, 16918964], [48207788, 51563273], [66124121, 88766684], [40362743, 4479444], [54102484, 21432891], [89788935, 67337263], [4192631, 60397551], [97480085, 87447391], [92660564, 18015587], [26573865, 80757618], [88844830, 82843985], [17668477, 27340032], [81259610, 28023016], [8211038, 53816939], [83511031, 81466949], [67973599, 21533841], [94299676, 32519485], [2353882, 36305044], [91677761, 56226804], [82999734, 74555144], [43961393, 19080792], [63240889, 46407479], [61439794, 64236542], [52317778, 43823735], [54418525, 40408243], [63735990, 29124026], [38798008, 44940730], [92404663, 67108615], [57545842, 5194311], [14602480, 17578377], [19971316, 91909335], [47985094, 40631054], [40265902, 22934909], [58028551, 81340746], [67383837, 31944861], [78678710, 15270813], [36751931, 60987974], [43762652, 19886582], [38666181, 74900701], [49528340, 66678715], [13615696, 76551093], [19175547, 50022380], [76798196, 83321690], [44492293, 29468973], [93017972, 54534895], [5916686, 92988137], [84329292, 43538032], [74994660, 86857370], [46376820, 94536655], [99762152, 14650953], [97205960, 6028680], [25469090, 75544641], [3395283, 95830774], [38244155, 92030993], [99747250, 92610110], [10095624, 37737127], [72671413, 42124900], [8194451, 37526421], [828524, 26672406], [60701839, 55824050], [23634144, 40047605], [51155412, 73834240], [12459388, 89772665], [97787819, 42375205], [88904381, 3636293], [57268279, 21937243], [76250700, 38782452], [60566231, 73765402], [25369329, 2079876], [66406335, 69137087], [57404697, 28259935], [92562211, 52336496], [9725601, 54969729], [80240794, 66924501], [42847279, 28013262], [89339186, 1329657], [37169584, 66145557], [16634973, 79064783], [13525348, 34164751], [28619246, 34745581], [85839756, 52369033], [61020478, 93993113], [80104708, 48856468], [29645617, 18018985], [63604239, 30776784], [18721957, 55571418], [68709920, 86732150], [61945057, 81770805], [17933232, 40200048], [49801570, 46299185], [86559411, 95096156], [47312327, 21399765], [56541852, 36638554], [22441813, 81957023], [8521521, 97801177], [92177493, 35220191], [98564283, 80188037], [63977825, 39029294], [16356833, 2378898], [45121418, 18435920], [20300073, 80157944], [8363523, 49611573], [52033633, 17755543], [27040996, 61182550], [45749789, 7478705], [50520433, 90997446], [51484461, 14069531], [70294614, 69320083], [449919, 93389295], [82492423, 24289014], [41601256, 44728267], [22259264, 40933289], [63593300, 57996874], [2892536, 97508675], [52960903, 4983538], [46951830, 44792246], [68194043, 11650316], [23317521, 58399431], [83143854, 89012605], [35347425, 46879303], [59150199, 65643753], [80326920, 28565521], [41105068, 930229], [54807871, 87819018], [81162694, 92473112], [39400701, 88927092], [19590296, 47222594], [69913493, 6831201], [8534382, 25809265], [82378391, 43582166], [43104546, 12422397], [31060400, 34928289], [80626912, 77395108], [34982688, 14085743], [74909288, 95651339], [75801822, 24209661], [38829897, 46627535], [20868735, 76962258], [35330168, 43344767], [28053899, 3414951], [5399366, 34234164], [90377061, 48094497], [53182661, 94017486], [34816895, 52964586], [85163035, 70726255], [33777660, 35811738], [84313954, 11075767], [83189985, 2130332], [99795524, 65191455], [2769429, 72913510], [85851358, 95174560], [85000262, 60518134], [91330861, 99628844], [78483393, 15276414], [97258630, 71886163], [64752013, 69548963], [93315232, 96284973], [35893465, 14554378], [30425912, 69654117], [60211774, 19606527], [64389189, 87587041], [63720633, 5815159], [45127816, 96066491], [38339163, 85878015], [58659342, 74242347], [10138913, 55230513], [86538892, 32635708], [78206635, 65703297], [82469228, 35756262], [98722271, 23355425], [75440323, 56962651], [7997475, 32791693], [51773648, 41489011], [35416635, 95684203], [7492332, 44814250], [31510635, 1215798], [78162640, 1084451], [41236446, 12007743], [40621747, 80976482], [83512381, 10068916], [65526536, 97164160], [52389768, 68813209], [1749266, 87218747], [38314849, 83476431], [96161456, 77767242], [59200271, 21890686], [62797563, 76305577], [73430324, 75687922], [2608000, 71261451], [193430, 8580648], [2002938, 60950730], [51944277, 82858616], [69543695, 26632828], [98714444, 5058058], [14980130, 47666600], [3938350, 39328667], [30385225, 5159562], [49049722, 38503295], [68951482, 20029435], [17368005, 29034817], [12680168, 98556665], [53819456, 40195352], [21782916, 94824808], [10404911, 17417820], [75850145, 60629543], [24682462, 65682197], [81665506, 49327025], [32643583, 87900287], [48240279, 6935546], [93089539, 82426107], [72674718, 14111733], [49746226, 39711726], [7138109, 52877846], [6704704, 44121451], [6025797, 40839192], [47031395, 995021], [20736157, 56536318], [45514655, 1177227], [362161, 87933376], [21426901, 38265176], [37027617, 10983986], [49625877, 58389129], [72376878, 1049651], [27313566, 3763577], [50590181, 73242402], [83908536, 34995180], [51991384, 22863936], [26403079, 53903484], [11944116, 66278450], [58194182, 63020115], [9196587, 84458342], [35121264, 93234497], [91210805, 54591187], [26118641, 51169555], [37955154, 51931273], [78303415, 16091779], [38620712, 36325309], [26543656, 2722244], [86802585, 31651444], [36439633, 63141904], [66713821, 7771156], [68373033, 78414208], [60432203, 72213091], [39723984, 43368841], [47556418, 26230529], [71171698, 79260465], [29844182, 85725254], [6234813, 95456252], [54165220, 54014202], [90954421, 70030132], [16062233, 96983879], [85922977, 9986506], [64336563, 59309887], [85502919, 18564456], [81905812, 60934950], [98504698, 23340731], [62769055, 75043717], [70916430, 39604457], [51412865, 48670362], [91273524, 90072912], [80663816, 53248985], [71322547, 95587753], [56489196, 81045430], [28160792, 60783042], [94197705, 65799906], [72584640, 6007567], [21309453, 98197321], [98979496, 72948700], [99560438, 78338944], [11969058, 15953382], [38384186, 64621918], [94494684, 39861858], [87984966, 71438880], [3587602, 58155582], [54534352, 74573596], [50693397, 47742434], [81647926, 30836281], [29267888, 36599518], [72199096, 53078673], [15923903, 55428229], [29977518, 3633892], [24446946, 4288748], [21211972, 47246990], [17636439, 65884010], [43410502, 86933348], [61733080, 48900174], [68118239, 46423442], [23133569, 28756346], [46346017, 78997053], [815204, 7160607], [29721965, 53208857], [48165776, 17891128], [23619360, 66621566], [98472599, 28015093], [48676107, 57348500], [89553511, 76081045], [68316062, 10168889], [40667674, 27758453], [98916653, 22591562], [69927719, 31833752], [65426242, 80266506], [50475828, 58301213], [54925436, 29420487], [21820321, 91011049], [19047634, 27697349], [35287333, 66793216], [15869054, 58733011], [71705662, 62842253], [42085746, 16465928], [53432701, 10677801], [47066573, 39614908], [56584805, 75772339], [16788623, 6903815], [56275014, 93448637], [53703362, 7015872], [82075531, 40200308], [45207574, 70096543], [44983385, 85133824], [59562759, 48848221], [83213474, 14066379], [23763083, 40634767], [81818772, 12553745], [95788187, 63624652], [15047083, 57726764], [5010555, 67059615], [7298072, 11837687], [44381983, 88519878], [84371426, 75534298], [65760051, 68762652], [2015806, 48851470], [99135183, 91914306], [17049136, 8698363], [7164083, 68968076], [23905696, 44981470], [64012481, 16087584], [35095434, 9765226], [13690368, 29076280], [84333056, 40796515], [93793737, 27385136], [55531741, 26630098], [88606524, 44756382], [36535682, 8840804], [49312447, 2879551], [85847028, 2026874], [34257954, 66839480], [73756875, 18272616], [18326115, 1083952], [29698308, 64737990], [98606086, 41565203], [21956444, 25020990], [79398926, 96771683], [38885151, 51697284], [51643456, 94605088], [51222637, 88296781], [36179076, 8468190], [63037047, 85820149], [37238948, 78880536], [17534594, 44091625], [37533887, 84663742], [36592166, 19858774], [14399685, 78228664], [78211517, 42655286], [53458357, 55348837], [968357, 11033179], [19525695, 88319387], [90558017, 34185504], [18857283, 51822120], [4254264, 29117861], [74350417, 67048622], [56558296, 22519982], [1632176, 80485110], [3282701, 47949302], [13593650, 11307271], [50543126, 57799777], [34898722, 55143539], [87478940, 27720498], [62395454, 78880174], [1309388, 47221677], [78975762, 68620043], [51153593, 65683290], [85537540, 97969514], [96014797, 19436335], [2061223, 12545775], [96918322, 54450241], [42688718, 13684220], [99075157, 27823615], [75171788, 88698465], [9308901, 86035447], [63672618, 23902011], [84719747, 74443770], [90809797, 67711796], [8097228, 78358790], [33552978, 86136518], [1793924, 28262377], [79305710, 50644604], [23210674, 21238724], [688147, 48931991], [99090868, 72318491], [34725805, 38071349], [4915963, 29280578], [52664294, 16607453], [69191619, 38091131], [53263417, 41719477], [56956144, 35930843], [52365164, 39304634], [78499390, 62132821], [74561879, 31411132], [56344273, 87464721], [29546939, 20375479], [31852409, 61628423], [27107870, 49463892], [90124637, 83937220], [25867993, 41809791], [1568730, 98735177], [82120544, 13219347], [99428168, 52831079], [5616374, 18254654], [93132920, 40726973], [47912662, 88084399], [21325067, 76716166], [49070671, 10000620], [98244730, 67128001], [40355784, 88676237], [15627678, 78439586], [18770964, 8902166], [9501787, 22986810], [90674049, 4211829], [58130318, 29411164], [19322202, 60180009], [19332101, 50612127], [88891823, 67185377], [20481289, 22719647], [70903587, 13467625], [14069702, 38383915], [4120626, 45830584], [13374984, 9836860], [43320624, 4864177], [28874212, 56734716], [15737555, 3527534], [30957965, 52198776], [9744880, 95664075], [77859244, 72016537], [20878991, 31087289], [61149616, 30425001], [55688504, 48417038], [77655641, 23798514], [19861881, 33986004], [93581236, 7771925], [6640088, 58177867], [81684865, 23859621], [74480418, 83775527], [7385649, 56162064], [22295779, 76995450], [62611442, 92734907], [64448234, 30489306], [72765304, 79716696], [73844803, 96272379], [47081312, 5335541], [83650300, 47749846], [71888697, 8495284], [3712257, 28801831], [83125637, 55145645], [87513012, 44639173], [47963270, 29925029], [41546669, 63988642], [54565879, 86504701], [62338395, 26534567], [33633295, 49042097], [37143045, 14006651], [54271251, 56288510], [82635365, 90236152], [14665089, 81694052], [884862, 40983772], [34977707, 46956815], [53663303, 99434502], [50376067, 98911168], [59246442, 50502859], [88496270, 36469881], [20951834, 14617417], [12500328, 42475685], [42988548, 28033849], [54229624, 78061070], [51987596, 95569027], [7107654, 61910232], [8623833, 72780058], [1497564, 19488050], [75858128, 26038411], [29286602, 97579663], [43789438, 72885395], [97729035, 13079950], [81229085, 31316384], [90361412, 37094265], [31644519, 41034720], [47750571, 58317368], [36532060, 33551823], [48179644, 33476265], [93225770, 90644737], [96598697, 10640517], [13688265, 40605043], [3847878, 10140350], [25515897, 29641149], [21908900, 83005789], [50596183, 27427768], [75257474, 25492626], [47700027, 52640510], [89417087, 745596], [80415465, 37935556], [77953084, 94132842], [94156542, 20222284], [83608641, 74518098], [67012023, 63220815], [93352735, 95585060], [94501459, 79033479], [10774627, 78875558], [23094003, 52017036], [3263974, 69904664], [68769306, 51320901], [27403490, 72379417], [42221275, 36756734], [57881351, 80716683], [68363782, 13958085], [80533201, 92090524], [13502498, 85950483], [59004859, 48826310], [8459253, 45598940], [3411209, 98568215], [91130226, 81342753], [72859035, 11176241], [10680832, 87058083], [41003169, 54650977], [43606052, 40753310], [15221450, 45872576], [57537719, 97714797], [49691093, 83981281], [1640365, 46320757], [59569400, 71887149], [61148891, 74925476], [54644649, 69724024], [34019013, 13159611], [93684563, 21321866], [49715547, 14433638], [73450644, 83528658], [33042910, 54428376], [70298998, 62909799], [48745826, 52607343], [7994489, 13934064], [18740687, 61212085], [53053464, 29027182], [67538683, 26994238], [23149434, 71176571], [13755026, 93811632], [87802070, 65381918], [93311527, 80931136], [92842995, 80550485], [84592996, 60569593], [20882389, 27584939], [26133764, 87538704], [11332408, 57087434], [37071937, 68413350], [74214304, 8850852], [82838234, 89426255], [81691812, 77762399], [90100454, 62632002], [27759995, 17746850], [5302148, 96264592], [23076284, 46311470], [12764782, 88001142], [16990781, 53203267], [20285723, 92436991], [44201342, 88345856], [21760634, 48460924], [50423305, 51889870], [57082032, 59037004], [54279251, 63178836], [12143784, 52005804], [20060066, 71650260], [25282817, 91253079], [11846733, 55589234], [63809875, 95787345], [35987020, 21081848], [87239440, 65472672], [56168212, 16244193], [3212758, 34093490], [33377287, 64018128], [33620235, 71812568], [74746061, 4998338], [97247794, 94020460], [87328605, 62667771], [8039784, 92361786], [57085166, 22982637], [25200405, 13149127], [46797042, 2284409], [64051392, 60420560], [84057754, 59350164], [19967638, 38769623], [67517003, 29006641], [42277513, 76487708], [37420981, 65962639], [37080260, 66618003], [39946044, 27416272], [17001526, 94349162], [41440212, 57666531], [5591976, 29282230], [6147866, 56062056], [74307730, 9037060], [91217111, 24709327], [99794378, 51762532], [13395892, 51042952], [47468125, 73856513], [10897232, 47827041], [83082044, 51668022], [72892697, 43153638], [76519075, 83828371], [71975216, 18521295], [79680025, 8265519], [35367441, 42754544], [94513881, 80514605], [61956204, 39029929], [46583743, 11193881], [10877970, 68172067], [9990707, 70049390], [95173245, 63470359], [96340625, 63640054], [87522317, 22518424], [43593572, 22465527], [75769787, 76544010], [90120839, 34293792], [69164328, 52094925], [22450749, 70091871], [95927064, 41578602], [65023116, 69364144], [87504637, 78104047], [59925298, 10063286], [72609721, 27439646], [70080681, 83968613], [26272686, 9222695], [90713399, 93723946], [94612358, 30993358], [74621026, 97601837], [96245720, 96978824], [77491478, 26150779], [55549568, 35298653], [60616599, 17612290], [79431167, 52119480], [31258739, 11409850], [84818765, 1273105], [8672318, 68925830], [23834108, 94600584], [86234429, 37916723], [48546603, 64962285], [98245662, 32839907], [89431616, 84154455], [33384503, 75023547], [25937728, 17134215], [82019015, 61746966], [84961198, 94480886], [61455404, 6706873], [13210935, 15446942], [43133540, 33662695], [39461549, 84948268], [18653283, 22067272], [80993543, 99033534], [40921214, 35017782], [40218672, 96656934], [54427434, 81079181], [39095363, 45079274], [23372279, 34100426], [35073726, 35257146], [88738032, 69669136], [19707871, 90547819], [20770505, 73425633], [13838365, 88084363], [9417268, 4300733], [16584505, 48825688], [34310578, 67519969], [21037671, 78420069], [44670698, 62401351], [86326603, 40694383], [2994964, 68233116], [77180595, 92048117], [55582588, 55026361], [54248964, 22668507], [62230239, 62578434], [15489205, 10531677], [12498131, 60125166], [40936838, 45147933], [6700128, 2933651], [35049143, 8873627], [2256791, 85215474], [77511196, 28128332], [47228064, 68425678], [42436912, 52053973], [50898476, 26782318], [71509001, 45974284], [41710120, 14526984], [65391388, 14876153], [3625865, 17514991], [71761560, 25801531], [77661301, 5061575], [74215006, 21816374], [77146546, 38233639], [16561049, 54327096], [82897493, 90240547], [14200287, 4747913], [37738666, 82817951], [81804074, 45270661], [97505261, 38727999], [6679463, 68632654], [19188530, 24699909], [86598832, 33478800], [47241716, 60211487], [7281150, 74017411], [55219538, 51546522], [58078627, 91606993], [94357433, 2036345], [23859363, 27693719], [68919189, 95878958], [74212895, 76205770], [17444760, 24212339], [51998549, 88786707], [48580332, 21508132], [21540791, 25260834], [60108405, 74682304], [81352928, 63391981], [75842331, 42293046], [95636263, 25253727], [91231971, 96145342], [84809276, 2071936], [43707490, 48627098], [89816260, 15034649], [20885242, 33142443], [68833100, 17596868], [78477150, 52228431], [14586204, 52667975], [89053702, 21499423], [56908286, 91023621], [77982499, 59394754], [16163221, 37454045], [93232699, 28246752], [97843639, 14034512], [27181458, 57189000], [12966323, 29762772], [26731607, 32713159], [88685550, 13776381], [61953410, 61331075], [97443075, 55815960], [31460310, 41575101], [56501839, 9678947], [59597614, 16939942], [10694080, 12366096], [60336463, 76024747], [25606210, 41260108], [42171842, 57202583], [98874199, 40036521], [35979658, 5619012], [68801357, 19559748], [46517997, 20515464], [26842053, 2915312], [42321364, 88543983], [87807980, 9999449], [99617672, 45996925], [93302444, 37521321], [72156058, 56254757], [42421461, 50991810], [17415464, 48834073], [5659423, 39148903], [92576324, 44483685], [90893184, 11862730], [32326630, 37395230], [27223889, 53475876], [47562922, 47063383], [92754276, 96772235], [49125251, 16467558], [31780402, 38316594], [16780225, 85056373], [20982810, 91248081], [93640732, 35372546], [19456139, 6136758], [31280511, 96985597], [30181222, 3195447], [11129132, 47371456], [82579126, 81493275], [67338994, 24497285], [58295212, 35806013], [99653303, 30447343], [62256724, 98656916], [10251694, 52914611], [57782464, 33552328], [21819344, 40685745], [56999006, 56658458], [80857747, 15875116], [15999891, 16793675], [11855876, 2717965], [33529702, 26783427], [54019014, 34067078], [11996906, 50606463], [49474368, 51743453], [93652708, 72558961], [76791464, 30304652], [65662418, 32326390], [77186618, 56317182], [1502627, 1960674], [96755845, 57921494], [12308185, 31783541], [59891470, 96479829], [23762400, 70417988], [32076103, 62246401], [63458282, 53659138], [2155108, 15567942], [55979588, 47873968], [56646910, 99826325], [47658824, 15901381], [88421628, 55458369], [60018601, 27623437], [83828241, 13690512], [38262807, 16075670], [31390672, 55324375], [38881632, 23274369], [87495596, 12958709], [62599954, 52345892], [3336630, 14387324], [93472936, 63389274], [27605619, 55195613], [95285075, 49738096], [11416877, 96477129], [19088928, 90106385], [6787883, 6655505], [69885910, 18827923], [94384002, 41445063], [59111565, 63869742], [98034115, 39707617], [24956168, 78050186], [77512758, 30493570], [81708681, 2613179], [31673601, 57600108], [97122674, 73983194], [82317003, 13425707], [83896720, 66611508], [66562656, 28532906], [29547070, 12991706], [23078638, 3837045], [82415823, 10029744], [66720344, 99347487], [13258027, 84291828], [21917318, 14325273], [21298056, 23905337], [62935048, 32554479], [29556119, 71330348], [61695158, 68442982], [80323213, 74871611], [69408973, 42944121], [47289450, 62292440], [99308168, 68352662], [45548122, 71562566], [75202119, 89375016], [71152810, 31256922], [26210145, 88712047], [824943, 29447252], [97043857, 30377827], [69406529, 90301702], [49604889, 12630526], [93330961, 76540720], [85130263, 40685798], [10130839, 14250031], [39720965, 80385962], [3883556, 63364251], [58148217, 1770083], [60447094, 40825161], [73530063, 82416130], [65448429, 62956267], [57819720, 74994051], [44381197, 45791052], [9840968, 92404239], [51765390, 78731862], [13661059, 10008929], [87711005, 45320964], [79129648, 82485328], [64049153, 42670282], [85987359, 37050884], [90199325, 59663709], [45225858, 37329185], [16499448, 4438725], [82705668, 76737055], [28703529, 10856816], [69681340, 35251349], [32842806, 55685260], [21868660, 97137543], [8515733, 50514911], [65752055, 92602782], [93258309, 4023737], [60746853, 7640375], [28805314, 33758925], [9604360, 78521124], [63932024, 4838822], [23807717, 43086144], [77797840, 77577231], [47528365, 64424875], [45676930, 64035644], [78769254, 76180052], [68599994, 34261720], [95594416, 72526875], [26030992, 48643493], [49431701, 55312046], [49857273, 2107421], [1152663, 4000955], [30426542, 45629801], [68566711, 78398962], [94606643, 93279839], [66226633, 1157530], [94798569, 37479407], [87957645, 33303185], [81008120, 4745542], [8970209, 14346503], [35708486, 36923300], [17241047, 33678131], [32256858, 75935156], [16329804, 28397312], [84113030, 38104764], [98709802, 2554837], [88588770, 27987835], [61645855, 31586194], [72851386, 29177108], [10531706, 35460562], [53107961, 27992599], [11827970, 36270035], [77327240, 39712783], [58287556, 41448689], [54109438, 56441485], [94232791, 11707850], [7774266, 46325825], [31492122, 77640132], [29603310, 50419397], [95442442, 50457564], [16938132, 83290238], [62430825, 38753449], [53080683, 93183236], [15667128, 38231348], [78595402, 42570075], [1202580, 93320568], [22466396, 12812729], [24461105, 94185584], [78056822, 42608924], [79095340, 71126521], [19382933, 60797027], [17329760, 9156047], [93905519, 87719586], [33101372, 85180987], [35130976, 73416417], [24372223, 20961139], [21507391, 86613340], [45580246, 32280040], [50734015, 64036038], [48345814, 34459079], [81144911, 37484489], [8704039, 59995829], [98481286, 97342223], [11530533, 21112597], [56639078, 6751874], [94651645, 25379594], [29750576, 61273732], [77791605, 78667855], [49186887, 34754664], [8517443, 63565151], [68315041, 97196738], [58442487, 67872128], [65978827, 68895861], [25775629, 81186502], [45316465, 67110247], [69703486, 595616], [73087180, 98390889], [1553220, 24401276], [90775813, 29541602], [87158889, 91408398], [67574595, 39608976], [38273084, 60016351], [14519757, 58912932], [67768958, 65567746], [11474224, 82591724], [29641398, 64469825], [64816001, 53187328], [20901980, 81570027], [27819562, 92979215], [49405174, 14388437], [57731194, 67902995], [81369374, 2935660], [4359602, 15806555], [70154609, 97942044], [43179462, 47093435], [31052943, 78891874], [98375569, 48696450], [29381644, 81927340], [70419324, 5063754], [23460071, 51028246], [73860604, 30714500], [10526537, 91594692], [91548451, 35932254], [59367022, 20607633], [67165019, 55912862], [56023422, 53375512], [49366340, 89413256], [81550491, 59164637], [90425400, 12619510], [8811427, 69545060], [12371356, 53912192], [55925011, 91104129], [85085840, 32351187], [27834629, 69341369], [32720040, 6449774], [13286802, 3946033], [768992, 23150881], [39516923, 86074229], [82955596, 34881743], [93923089, 86824047], [29552282, 81843016], [24777424, 84560797], [74996304, 46214747], [24759634, 72730268], [54511187, 61943183], [60007525, 25855109], [22945763, 15382677], [40602903, 26739860], [77344215, 67041970], [57090662, 78426536], [99968576, 65181814], [39394290, 3637560], [59330484, 6257687], [14726622, 94254374], [59467592, 62167910], [60693821, 9548032], [66199725, 55808131], [52687588, 54980571], [8988840, 56539906], [86861903, 88703418], [92257074, 64347027], [93778189, 55680604], [79147404, 25857968], [78965099, 25355125], [71725454, 13801873], [81224976, 65160951], [95614597, 78890613], [18114313, 13401886], [20433117, 11658826], [84414080, 86614827], [40988324, 61549956], [76752814, 98568097], [41079500, 25520326], [39442362, 60410521], [54863384, 83838191], [4877132, 45815223], [31801283, 20281644], [87920509, 94522005], [9268985, 67456970], [23000822, 48615910], [7535290, 15936072], [70111712, 82836543], [4736547, 27992776], [33393762, 57164370], [28716315, 56047373], [99197161, 26081671], [7575163, 37397556], [38862242, 57263397], [38339360, 78328840], [64382789, 86630653], [38273239, 2735302], [5317867, 41858881], [67675143, 43733494], [46968772, 98706730], [1273971, 19138094], [48450540, 41859830], [56527527, 25278296], [27474611, 56992102], [48226211, 43856601], [56426615, 75035856], [71724472, 98711860], [73116266, 70502093], [97216663, 57049243], [38805470, 40844993], [5417492, 64438848], [20845199, 39694494], [92930605, 18474874], [28545452, 73714927], [73453654, 16672340], [86061230, 34062920], [6576562, 12326061], [61566359, 88900726], [61955158, 85479259], [89857576, 68724804], [33889096, 85328356], [65388152, 50418683], [30633056, 66002717], [41485648, 77622234], [77074257, 38516429], [42032433, 85835012], [64070275, 10251953], [39833635, 88884552], [68941353, 37927248], [13069384, 70416480], [52530060, 41627156], [7599617, 91292549], [74381005, 39975769], [16417768, 29353865], [9816279, 6599280], [94714905, 6969667], [60728016, 65540558], [69803969, 2463295], [54110683, 64288464], [83558626, 82060176], [69556665, 86969167], [4192499, 98436614], [71183758, 57785470], [35039990, 46180091], [60530463, 50963300], [54255886, 18873119], [71905567, 82036971], [1081001, 75689468], [67070224, 16917164], [54858877, 40618458], [20302795, 95372602], [22275598, 55621453], [57559251, 5200432], [97325544, 28795399], [99841030, 29371093], [55975917, 23334889], [44402456, 70691748], [86130328, 59710531], [98112225, 46857228], [7111190, 30573931], [82770110, 83776763], [7997280, 94713386], [59441688, 64313602], [83784672, 53612536], [72063489, 37040829], [99654278, 99599722], [19348213, 7653839], [23611698, 64470188], [56429622, 43912538], [88502785, 40907690], [95588973, 84286829], [34295400, 3265759], [69633688, 59760823], [84143422, 68081978], [32884644, 8683524], [64506230, 80683537], [68761403, 900429], [15070031, 43870392], [46501482, 56933557], [87005265, 64320594], [94538481, 27390483], [22954841, 94837709], [91651308, 84232754], [99567557, 49192667], [24800256, 88733266], [86065280, 24092618], [42964891, 53807592], [36982924, 63935049], [1163743, 59020714], [31500619, 61881869], [52137261, 76638912], [81126130, 3458331], [61403772, 88407770], [7212964, 9628631], [79384204, 45443388], [25764822, 27966976], [99446144, 54283793], [57038942, 39519831], [80403121, 1677492], [1598737, 15843696], [67783108, 41789827], [41857911, 85615893], [47542395, 73008895], [20068114, 5423255], [15243103, 55326011], [48485093, 3505901], [74623368, 19637651], [73177744, 3674883], [68689223, 61035526], [62478815, 14389513], [54098901, 15747703], [92545936, 54896865], [3454984, 22102908], [67024236, 28636911], [1339922, 38542775], [77442278, 93688739], [34110348, 52036098], [54251545, 24136131], [48487319, 21611708], [84285629, 23183136], [87677605, 3396559], [77077343, 33970020], [68059401, 7894251], [97061941, 61439987], [42557598, 75093023], [62375088, 87687717], [31620955, 31570779], [87018527, 9207571], [13820006, 75488809], [11121169, 86312903], [82229212, 80674852], [62720559, 70331321], [50675124, 27903010], [76895227, 81008072], [58910002, 65588089], [48711720, 27937511], [46220880, 23701039], [79658583, 83256267], [91788776, 83474880], [15026454, 96719185], [98562739, 93753406], [91250824, 79099730], [72683883, 99085621], [82551246, 77650162], [8700456, 66156658], [53380673, 62013890], [27808172, 34382598], [69359306, 90702295], [17631143, 71219856], [55885275, 50618048], [94068590, 35468367], [94416550, 77896196], [40838064, 70140551], [45613212, 73357039], [65131803, 14419758], [9514454, 96563273], [17279486, 37626235], [45801751, 80217936], [55256978, 66093081], [73112789, 10262565], [52630392, 47001380], [75616394, 30268693], [3342528, 89450776], [43519964, 49858410], [69933761, 53950496], [58600147, 88578782], [50514718, 75012960], [7643172, 302014], [38356423, 88238893], [91903544, 69291217], [51689305, 28637411], [64370746, 41029601], [77052518, 72156033], [61387008, 13501343], [23557567, 51637127], [28057678, 66790704], [28237122, 78643400], [82156348, 17254497], [51846072, 68802391], [8399756, 12624798], [65090396, 40416155], [99949807, 84256140], [16502240, 1419925], [50208582, 50818604], [1961583, 93164819], [28829756, 35590448], [15965564, 90645593], [56024806, 23426852], [85603748, 42794385], [18807456, 85011434], [12742439, 69260258], [98600600, 96062295], [855019, 81059541], [35831267, 30901362], [99261789, 47650143], [31058359, 22636079], [73800088, 51904611], [6719960, 45320646], [9818774, 38268591], [8278300, 15332944], [55994653, 59319414], [41639991, 62901786], [25622033, 37063657], [45618396, 88782817], [64694369, 31992675], [49526144, 56769836], [54132211, 67761520], [63020762, 89102219], [97586797, 33521182], [70932718, 43207302], [38499648, 51034542], [73234093, 80533150], [4730147, 94736295], [58966779, 30526792], [50365518, 22693134], [93564487, 81501089], [66060018, 37251837], [65249865, 95025809], [84861699, 18517130], [62907266, 7842321], [80618378, 79580484], [69561792, 69592873], [4417566, 46868855], [36801508, 95203970], [11407214, 73867544], [88821756, 53106075], [61661580, 54247928], [84166232, 13524309], [29875997, 61627555], [8121308, 63719690], [41933860, 66913325], [17804658, 39867725], [4128287, 24448800], [73675158, 62578667], [20080751, 29733832], [61800080, 48261217], [28938227, 85126968], [75424621, 48099780], [70427395, 62057043], [78500707, 91848902], [72434164, 26186203], [44893166, 5899444], [89700141, 54615687], [431722, 42918261], [1908282, 46736806], [29982346, 57396532], [61781971, 48604034], [82898384, 71934258], [17039974, 56115722], [10286899, 90408245], [14345275, 5431850], [59929729, 51489116], [19827856, 14807424], [54061571, 87566998], [3027599, 20749075], [59683354, 86867447], [5695, 58257617], [72815675, 5176601], [51458141, 57811469], [96593212, 79546853], [81224303, 42221913], [65027070, 53392935], [74143255, 90702509], [3304311, 14918089], [67478214, 4138775], [8655002, 49228664], [17067488, 45402696], [7338178, 40383230], [29632980, 96534886], [83114573, 920847], [33306900, 8895473], [43165001, 19814304], [89160230, 49474751], [91613481, 79899131], [27609298, 73641112], [37283685, 13871060], [91592070, 94142277], [32327553, 96328809], [74952329, 50489], [41387474, 50016838], [80485317, 46363806], [6125869, 5562859], [67522985, 47063139], [11389896, 34918264], [51523240, 70174813], [35552092, 1922603], [72227678, 63940054], [24478399, 58978972], [872979, 86261851], [11887797, 38457378], [67890875, 45146466], [29311800, 96164394], [54195101, 64236170], [69024491, 20879106], [2825748, 98304648], [67564442, 24872343], [41915633, 7854193], [12372966, 48303027], [53470933, 16700261], [30835166, 86821602], [81206081, 90186003], [82043332, 40763569], [20210173, 13729167], [46662353, 39389742], [2631528, 60472066], [87101300, 22561553], [10067947, 36688152], [88963734, 89504300], [75429148, 50332184], [17587005, 70428926], [76351968, 28167148], [48930257, 33979604], [48145556, 74761759], [4046458, 77232555], [59301612, 73410826], [62365246, 63514349], [31949943, 80771251], [70310258, 24369149], [65236461, 66240097], [77027690, 35870139], [54892914, 17127875], [45550549, 67673155], [82931930, 57517202], [94358018, 69269562], [87529214, 68460336], [20844568, 68510995], [77696179, 52983833], [39665984, 88417150], [44832077, 90543269], [44151889, 39137248], [96023915, 46082836], [68638968, 80560814], [96208264, 20101002], [46357276, 49724514], [52778163, 25951097], [18428773, 53178958], [30407287, 20774111], [26175170, 89100351], [80822589, 44222545], [55403927, 93446452], [27422009, 21759771], [43317419, 87623328], [93989482, 10770370], [20863325, 26371813], [99299320, 15325886], [25145698, 65981835], [74364670, 60362621], [1133598, 57340675], [38516568, 88522955], [87643796, 98580324], [11912203, 66020649], [19176432, 36129131], [72915830, 35790131], [73561480, 69837817], [90791903, 28680257], [77378267, 65441547], [40019901, 90860449], [49714403, 92195142], [34209448, 9459993], [15691872, 15971357], [31790618, 78051535], [74942182, 56726489], [80428237, 1305107], [27977202, 36377907], [34243724, 47066547], [22854328, 27163363], [96163528, 39716395], [22675841, 55273875], [17579666, 42617521], [41183057, 49944348], [98967750, 88980128], [56349250, 95745991], [81362594, 26933666], [12336255, 10479987], [19142617, 84101026], [73710694, 15494467], [24698010, 25399457], [1689024, 32642085], [81834670, 25898516], [17602807, 87812063], [67481974, 38283781], [77898079, 36298093], [37964638, 71689322], [10084416, 42015655], [47953110, 58194486], [9918158, 5874520], [69263287, 77349011], [70631041, 29228909], [84575623, 88107286], [95348046, 21357938], [10449377, 51777915], [95605495, 60112771], [95029057, 32112786], [46064763, 87585986], [35483062, 3147420], [55637399, 87725920], [62002798, 69644887], [8483517, 82879268], [32998090, 44777888], [48807073, 65564106], [25999432, 3337022], [32229461, 39764843], [28141181, 84108466], [50286920, 79530823], [26762314, 82384601], [19033912, 70674532], [45486780, 76873949], [84439966, 41466373], [56795502, 94958742], [79077893, 46762368], [94099865, 84035027], [40436260, 86501921], [52535545, 75517700], [32696028, 95864501], [86290321, 92327668], [94191843, 58005771], [95056381, 11103570], [5105885, 75430578], [14051534, 97181748], [18839673, 50913544], [43529774, 88205717], [13686627, 73570116], [29133573, 87378767], [26383304, 67099527], [84183690, 21524582], [36166279, 12535242], [12857218, 88462416], [53901377, 53971740], [36673994, 53424765], [67387413, 61738410], [9222877, 96731126], [50899501, 74813976], [32475426, 90242071], [56342509, 58147979], [21424925, 81990218], [67496654, 67010035], [32411546, 17333661], [97996318, 35356816], [91491101, 67621139], [23304852, 97700009], [59180075, 99509809], [47105992, 83084984], [65628529, 83647536], [68367551, 65599229], [95365586, 9430331], [81860238, 43378624], [80735608, 56421859], [66509028, 92672218], [61652763, 29617169], [6980158, 10342586], [13952719, 62992380], [44770964, 87420487], [31015331, 13589402], [84619411, 60050986], [73539282, 96928666], [81000412, 72210278], [82383877, 68306113], [21008655, 18841837], [64446321, 24000864], [7803901, 26126069], [23285368, 54749633], [59605535, 35772920], [40409262, 19166586], [76102756, 13263798], [59451495, 96523118], [47130355, 2431479], [81681104, 11839944], [25459329, 35440122], [77439391, 11214183], [91971924, 88744755], [36328997, 94768946], [6110504, 88594484], [65738892, 20764995], [84821501, 58643406], [17597307, 40575785], [66900816, 16260622], [96788326, 88750119], [75045953, 71194833], [48988063, 84832559], [53663955, 39523279], [24635682, 68162075], [84672420, 1130111], [64426877, 98199616], [76746597, 21319426], [28460044, 91934897], [50289295, 6369587], [77676774, 91584962], [16518258, 86805138], [25962322, 6896492], [51314150, 18758266], [19090121, 92774405], [86575273, 85715214], [97862923, 55761715], [86406485, 95780322], [97261244, 50604874], [52427184, 7551096], [90124188, 75335787], [61253382, 81101179], [78272291, 56204462], [63724156, 46484024], [31401086, 47069467], [48249428, 45570192], [9827574, 14670340], [10490553, 50749362], [28370604, 89922114], [23889842, 9149176], [69785186, 42538690], [3360572, 54841181], [95089266, 35492893], [59505453, 69126931], [18582169, 670948], [70436285, 73289750], [82723226, 66207097], [90705722, 46571696], [62402001, 98727177], [72301205, 10894304], [3559446, 4902883], [58627333, 41119219], [25591203, 28284112], [40511595, 83557153], [76254521, 62539141], [4333178, 74242499], [51493443, 79128842], [15452681, 22671521], [80578101, 46511757], [62442220, 27765937], [79218302, 21277280], [74196958, 30536833], [56644834, 34041737], [84345047, 87944580], [6508252, 34590877], [75832691, 17051251], [34533621, 45411390], [41999297, 7431291], [22456322, 49413417], [1070272, 24923878], [67950474, 920049], [32091359, 75345190], [74431623, 69614591], [85341269, 89956706], [66311154, 24072982], [88250105, 61553923], [44634810, 5705846], [74151999, 16029858], [38404641, 63228078], [83530303, 30693260], [88763248, 11766413], [7893635, 56832646], [80498757, 44507541], [90937430, 46655113], [64050371, 32793453], [16789435, 16529535], [35399310, 24629065], [80639538, 89738522], [25663402, 36636547], [88947135, 64465192], [38911223, 15224192], [44240337, 92102194], [33608492, 97360768], [9382352, 70291380], [16162871, 51209954], [23793843, 21119979], [19907947, 14552331], [30649172, 85957337], [47477982, 52745992], [6834930, 33806616], [79462613, 59584584], [12564043, 96286791], [56233473, 32166962], [38140778, 71302615], [49931456, 98125863], [76068989, 7060837], [26579674, 85204155], [99259593, 98889748], [45749816, 42215196], [59430275, 63577802], [13977277, 60056472], [17032558, 42372369], [94745881, 22333838], [54074331, 72053575], [49772377, 44808903], [19466647, 77380216], [3019139, 61512385], [7000448, 64150834], [97632156, 43085811], [82986187, 11794850], [99727283, 34821127], [21112205, 90870505], [7267821, 4929875], [5617117, 7263171], [41037286, 25232727], [77908398, 4288261], [69530554, 13064765], [53788821, 41358487], [36787940, 48370224], [7068474, 50012453], [7721718, 11510105], [22826056, 33269389], [97905608, 20607913], [51699187, 38907496], [20679641, 27414664], [22434020, 99172203], [80367341, 95507189], [78235522, 38500934], [14707729, 19015223], [16611626, 69270037], [67737320, 53066285], [8273613, 11714651], [93441488, 10288566], [39153789, 40424440], [33899154, 10217100], [43600767, 658837], [58562398, 62038364], [34596955, 16516511], [63616254, 93560421], [6192729, 84724444], [96803139, 16778041], [69819259, 94140322], [1627287, 34681758], [60503137, 22084695], [7253875, 34414041], [50637939, 82137934], [38217718, 5130265], [9287164, 76840429], [68392480, 55829118], [83823667, 26790835], [471245, 27730698], [7945240, 17834227], [52677885, 79563146], [76891248, 25573443], [20161665, 27974427], [18806843, 38544787], [44395096, 45606055], [2890182, 99853790], [30711620, 28663006], [82119314, 48239409], [16563967, 57008388], [11010594, 19915511], [91801889, 74258321], [72226407, 48189874], [77236629, 62474625], [60850726, 52296711], [84464106, 94190545], [36473172, 89588557], [98132701, 810633], [63916199, 56845364], [84343533, 60996605], [64849120, 21947479], [64367434, 64036089], [19580013, 87066654], [3562624, 47638659], [86710926, 8046376], [39313682, 33017906], [10744365, 66024771], [24688749, 7158129], [33551118, 3781832], [5855074, 79236961], [44941735, 65610558], [39006423, 32056399], [10742899, 50967913], [56724481, 71780696], [65859619, 4906162], [22655557, 70376204], [77877815, 68393283], [23828537, 2157736], [24736287, 98865543], [85051559, 95989619], [36885186, 50763833], [68660748, 69237208], [31245185, 1817063], [14594441, 90569982], [92100327, 78566051], [20507510, 18227411], [54487574, 14412362], [60771516, 58590425], [67854942, 69073358], [44095078, 24201654], [5199390, 41382164], [36872609, 54930031], [60705317, 44193836], [82037645, 48594649], [9542631, 74030541], [38095165, 3830872], [13102714, 18000879], [38396038, 72725029], [49308450, 78589434], [48578768, 86091413], [99545791, 38780211], [31786535, 64490868], [9265407, 77861623], [4979302, 12482238], [9455879, 96557527], [34221728, 34005404], [47690999, 99390140], [49130581, 17705872], [38596357, 22066174], [53916555, 1556994], [99839365, 19059757], [58711193, 17273738], [615187, 73654556], [80981459, 91460735], [86512987, 75283854], [68778530, 87077702], [80073162, 58407673], [51964702, 77725569], [59659048, 26290407], [58716412, 30538564], [79520189, 4545426], [25607502, 48396940], [3454923, 95030030], [5184195, 38310227], [70411850, 54035589], [34769461, 37767122], [30394969, 41905926], [45210787, 49039293], [27375742, 10601253], [26857796, 35444773], [27796846, 320521], [50556507, 3467886], [2842852, 853504], [76232117, 73953351], [5861994, 31944950], [23316363, 88789351], [7361041, 82477450], [58645643, 16354960], [43923615, 37155999], [35712207, 27710674], [84983340, 58726899], [25297294, 60335865], [65584945, 99262361], [22347960, 68952592], [83272233, 64789397], [75065293, 49795759], [88861460, 12048091], [94983102, 72893398], [19265917, 55409747], [64887751, 52546598], [2428735, 73563285], [69551213, 53723912], [61276149, 49229496], [62792922, 33329246], [40423637, 62362396], [26389356, 98842533], [72037993, 62288159], [54545675, 12168863], [25935444, 79531419], [77976350, 77745778], [25144460, 32860997], [85138875, 26215618], [36929440, 84162664], [48929474, 13563927], [72690305, 83541515], [72205325, 79372429], [39979710, 28654782], [51119764, 28918299], [97621957, 93660731], [76620134, 3737579], [99481548, 54277137], [29160752, 25848010], [95744067, 81418710], [80705837, 47698821], [36328256, 33594905], [55902996, 66195854], [55208297, 42062070], [77894993, 72460935], [24513986, 56894980], [44306413, 96396323], [52127559, 71002937], [2885863, 15003243], [42602561, 4241103], [42451692, 4914651], [32479726, 6931080], [81699833, 62346279], [89935700, 65309506], [28104656, 13293084], [52480688, 36611321], [93252448, 80834464], [87947906, 52585340], [43520806, 12931897], [29003826, 95344064], [38837172, 46406010], [81512071, 80171955], [31473900, 98815918], [10261886, 64924534], [66190350, 88169142], [34862330, 86905915], [29032859, 34178902], [90317639, 80737414], [71111283, 59896950], [14374026, 19698938], [21603683, 33439888], [47575322, 91577593], [78228185, 37592513], [19834029, 23897976], [12542126, 50097884], [56529267, 7100178], [10455502, 7691635], [46944684, 1081216], [3024227, 24847733], [15333410, 30792138], [96314287, 34674162], [66733417, 94195732], [22433549, 38160459], [16658523, 56260757], [75224248, 86525535], [23889943, 63818446], [72967459, 40325057], [51473024, 73024074], [66857583, 52197402], [38058893, 26448714], [93107967, 66198093], [78031306, 83706335], [48445033, 15514416], [72545322, 2110383], [93132922, 54298776], [42956808, 22148899], [41253146, 75117847], [64022035, 84207570], [90152783, 54787394], [95445364, 29092969], [59699399, 65767026], [99240340, 17008161], [5815023, 71917860], [50372325, 6185281], [25637510, 88207750], [88023415, 10255734], [76216692, 34616537], [4498200, 43853081], [59858941, 89259896], [51193699, 46137862], [42423814, 7283462], [98544379, 87023293], [73050189, 64761507], [15357569, 94393334], [91181017, 23969047], [46582494, 38854014], [26764297, 44596159], [98743914, 68522297], [25548354, 45786646], [71283300, 16255638], [26708150, 921109], [38272137, 8659877], [72215794, 28263685], [48847945, 33038155], [75996750, 66157052], [94564981, 68288111], [82076759, 77171621], [80893495, 43091988], [97693042, 27876886], [14549079, 88687187], [40672585, 21869937], [10081335, 15339567], [72727628, 72518865], [48575074, 91104138], [21201430, 80192560], [78153952, 80543478], [60981984, 34379154], [44991544, 47610705], [47586537, 30125387], [77470794, 75032221], [22077013, 83193108], [88967262, 45165702], [31060750, 72500526], [26904921, 98107961], [49575103, 37592149], [13070710, 13546192], [45965618, 99357042], [77412696, 92346642], [42307916, 37342810], [92578010, 18099423], [54075624, 63592621], [79899681, 12054275], [25018894, 89029249], [55814515, 67524744], [62182886, 10974597], [64721689, 15168231], [6343329, 2642439], [86813466, 33196425], [3983763, 90069184], [22708071, 77607920], [61642776, 64446778], [96615315, 67166016], [64816291, 69500796], [42242423, 6876269], [56508162, 86524440], [33239898, 57557863], [74937377, 90546598], [19363740, 22208762], [56434138, 37416633], [63086931, 17666478], [7850090, 41202932], [3189966, 73924238], [92385756, 10085495], [68547830, 381576], [36162116, 75881459], [97890845, 87515114], [99393320, 51608012], [26627274, 88901319], [50092717, 17950563], [13066496, 34722948], [64355121, 20234076], [35425307, 2531572], [24461435, 20953803], [35360012, 32880362], [26757230, 95967872], [91671471, 93601255], [67505619, 28488093], [17536312, 32788329], [50370253, 55230072], [43937569, 2508656], [28920133, 76169798], [5829660, 22505010], [99546180, 62448288], [64746822, 89137145], [61701470, 31600277], [96474506, 19136469], [21804321, 22351556], [60958927, 47078841], [57768749, 74348944], [19679173, 81420174], [80959259, 38972866], [3149610, 14624472], [78963167, 2754466], [5825251, 51749375], [24063259, 33185288], [64818250, 84053742], [45965857, 91377815], [10563762, 63327508], [66843009, 16813920], [50529532, 19740960], [29670885, 82698685], [12359634, 20553802], [87489900, 4677318], [67371062, 6471897], [30292078, 63783982], [4867425, 75518790], [18404406, 61295538], [69863499, 15716328], [32921281, 38902065], [13634143, 11805281], [67324759, 75984397], [69993604, 22459055], [51938542, 6510802], [64818318, 11964591], [76338600, 83853020], [1493361, 37436541], [27180744, 60394374], [1217832, 69877080], [40741774, 73848731], [31985680, 27970229], [95353636, 62113729], [44715082, 9792501], [27062322, 18993169], [62120494, 4650820], [41811064, 27003376], [15664338, 51459884], [95901500, 78560856], [86719238, 33092461], [21990672, 63954290], [1294794, 48845582], [6406491, 71794223], [3606528, 56026839], [36616734, 12702230], [74150140, 62227134], [6721751, 52705297], [45435108, 46578661], [41406610, 5229306], [84851757, 1944078], [86480830, 27076960], [98116781, 43209422], [86695838, 76157819], [51133424, 76451359], [94330248, 54065197], [12144672, 88935598], [67828503, 31181607], [23844056, 17398023], [7151735, 73500130], [60683171, 6302978], [98053016, 62020216], [98480436, 11751538], [72575969, 90241142], [71669573, 28988493], [49429644, 42136828], [21451695, 45897967], [56805351, 67257573], [25135489, 87697511], [77532154, 82566115], [55287995, 21551859], [92449609, 27114548], [97258416, 57029763], [90860263, 47875214], [53444104, 48782689], [25705741, 51152926], [55705177, 87668109], [41809585, 81383511], [31411874, 50758493], [83036869, 53200116], [21960308, 11206238], [82222834, 37465763], [4417232, 33234529], [78914105, 51573367], [56877246, 70129586], [60680481, 53307390], [180288, 23148335], [69726487, 46136523], [77308821, 35643638], [50942169, 76712201], [65151496, 52907407], [95086128, 10053434], [85172662, 49214913], [13029357, 84660836], [59105297, 93782250], [92650422, 41902472], [32565185, 38467958], [18765954, 7202374], [17830316, 25232859], [77651615, 98442658], [94319966, 93120304], [8243295, 86734574], [90986477, 81494587], [57835382, 34632200], [69848099, 17014047], [26651670, 41680046], [90526249, 77219226], [26612087, 53541382], [70984080, 382857], [28815470, 32562812], [16103912, 43815618], [92843804, 17951875], [43358737, 24807496], [67694526, 7281447], [99681353, 95283808], [81135694, 15741364], [62697709, 14963058], [6032775, 46956265], [59057953, 80718311], [47230759, 39584433], [23255029, 18391687], [17531131, 97324292], [29659323, 3243730], [88959963, 29612901], [64750394, 57194567], [21707813, 23792031], [40611111, 76889628], [18476914, 88162105], [34029608, 91268518], [65301287, 54594], [5385857, 13295199], [12463625, 96471127], [40478996, 25521421], [66433685, 67913449], [88202981, 52032462], [6010128, 31802492], [11942052, 6596082], [61550662, 91836778], [36813453, 91110005], [22540138, 1833373], [80276726, 50594288], [45805174, 64946228], [42912545, 91712160], [86770126, 61826188], [39945978, 48712478], [27383152, 3376451], [72687207, 83409608], [38306465, 63689935], [58865953, 69911840], [68513042, 99170395], [77140156, 76509182], [32608960, 83149075], [59556357, 46780933], [39414900, 16363316], [60591297, 15881752], [35973288, 62061343], [52589351, 74674796], [70380070, 47158185], [27432315, 90966160], [88253522, 42437689], [56128479, 18081740], [41892146, 40698839], [97373063, 63836004], [88401172, 20444743], [16552334, 62154314], [23264810, 15304464], [23846170, 2130161], [95988205, 70937901], [42186047, 96894810], [7326330, 49048911], [51674071, 22134840], [19958047, 18207797], [10998295, 79207104], [55393805, 77805523], [9289452, 18252110], [1493958, 71712384], [12919225, 56861344], [51107941, 25640472], [57984361, 90436645], [19185242, 87093543], [49226386, 27836833], [39061175, 19935834], [1290187, 39739155], [23705170, 42929260], [9286176, 19436006], [40686991, 93985602], [81250842, 67229182], [97908937, 1588794], [26152281, 3702850], [92028470, 32635860], [44864702, 53860936], [16234543, 68027014], [95250678, 5653353], [92443651, 2701777], [83427577, 51932345], [40899667, 69190608], [60811950, 51768079], [88966960, 57730350], [1752298, 70643382], [72562320, 84744953], [272378, 61622758], [64800083, 11105555], [28111177, 16577649], [50250790, 13483620], [47535931, 86151421], [18196384, 54643188], [88435051, 79395193], [11978252, 33974505], [4515605, 59246415], [15615721, 14972255], [31745915, 40076721], [53636556, 86044926], [19111326, 68147029], [82614542, 48756489], [51132268, 20791369], [59355665, 14224618], [37501619, 11626576], [4116528, 76070557], [28483530, 34039506], [3907722, 32780037], [42038281, 36161371], [25994776, 51013996], [38298093, 44799808], [8901923, 53577626], [47918752, 8228455], [45764536, 66831034], [45130586, 11878584], [89873287, 7081196], [69999853, 87607586], [22972688, 96535392], [85250468, 98515923], [1539721, 30356043], [78105117, 22078198], [44384952, 69931197], [697456, 11361180], [48755004, 38604900], [1686314, 19153464], [67933488, 82343737], [45926778, 65138384], [36335299, 94031255], [57361164, 43845976], [77005806, 81946529], [20341866, 2140456], [53526088, 97037379], [55254325, 16823021], [91245673, 496738], [88948114, 39136825], [98063425, 12034135], [7655781, 12022756], [3728113, 35983701], [49891602, 8983667], [68179092, 80415516], [90242378, 26437076], [51031582, 658045], [41777045, 85680896], [23603393, 75297652], [42598358, 86002197], [54784649, 10505370], [96278097, 98222297], [1122927, 88828519], [45104229, 81459363], [69157812, 72897590], [29044977, 10595356], [3890186, 99537515], [41829092, 7566526], [37021556, 74193971], [20372187, 44415117], [48508970, 45207953], [20203500, 10803835], [19636899, 64483071], [9568033, 72858465], [5501356, 15261175], [74849462, 41037738], [41721948, 44622350], [33339712, 87197193], [98732699, 59554023], [82043336, 13738881], [82687374, 58297651], [26361284, 41833724], [39213773, 23921883], [16267780, 32152835], [48489606, 15660093], [57041882, 48365179], [55424746, 3726227], [72662227, 62889473], [63257382, 5927416], [22640049, 73187086], [69370039, 35544745], [14114792, 73351996], [56808598, 10048444], [2396491, 92981848], [64532570, 70315442], [37532271, 66758657], [28331081, 41219996], [2224264, 95352777], [39867757, 37108553], [10226570, 14551206], [63821171, 33060995], [97518102, 10278466], [83193255, 5206213], [87422470, 97796076], [37245345, 54541624], [86266395, 23476510], [91580926, 62456760], [65953471, 63351653], [43303184, 79160308], [84064629, 8195053], [36087897, 93288103], [75050239, 83444883], [2838585, 15038999], [4961105, 95749106], [89322015, 92542489], [12863061, 70136048], [71003671, 51840928], [58522821, 55327353], [2890689, 92422295], [18935871, 69564704], [25383295, 38032456], [74758913, 43992922], [97521121, 21030697], [82215256, 77081592], [41422818, 69485886], [92033002, 46880585], [54741382, 5112312], [36784407, 33967689], [77136166, 53252032], [26525152, 66916756], [17773299, 57604170], [96740942, 44975930], [95000261, 57797588], [53456274, 17297970], [25772365, 48831820], [36547013, 56401657], [30889767, 99363053], [95340499, 57601630], [6283047, 24659385], [88341272, 78556656], [97653077, 18206648], [82283411, 55258792], [88497659, 18756110], [19281589, 5038352], [11583596, 70386404], [74672054, 29222439], [9739037, 46417129], [94846285, 71081594], [54932502, 98313537], [71649311, 42991142], [71692418, 88820264], [34160207, 64771030], [18349909, 86171469], [89238266, 13393988], [65191509, 2487074], [88054416, 80218742], [72352236, 7573334], [78770879, 58319736], [74654621, 73136797], [33346493, 87659108], [19780166, 29002478], [56527101, 14312893], [12998052, 22467288], [47980876, 76097522], [19858619, 53562866], [2539448, 27110525], [33140286, 47350008], [61682286, 39951231], [11266628, 65029386], [69203985, 54774553], [28988250, 61101621], [92899750, 36769441], [32864670, 52221034], [14077849, 89655474], [87150663, 41942355], [72466844, 42461164], [97154539, 94598591], [48688226, 64332983], [71827431, 86609030], [50277321, 62913524], [35077868, 98540686], [98747410, 34468558], [55003652, 31231544], [39377268, 8436156], [40189907, 89340910], [46853734, 79619599], [64532191, 89962952], [61628526, 41461721], [15780525, 241855], [43170315, 44486072], [48877320, 86577844], [68941091, 86142753], [42508932, 18719179], [18159831, 77741389], [49479984, 93628304], [78918325, 80890704], [38453503, 31043695], [59142251, 75361407], [97525, 53812897], [15663664, 21129821], [20736826, 90107229], [63150426, 9762637], [28631337, 91042151], [37105923, 99206513], [91486628, 42661962], [96464979, 18395125], [72848013, 32740947], [58658327, 61764927], [38075721, 98287101], [92339636, 48194697], [48351272, 67469699], [51126828, 81376208], [33819131, 68163331], [87239073, 6835725], [66089315, 50028446], [34755518, 25713386], [1640037, 45506218], [74211485, 72620582], [26407712, 45950984], [4087305, 15727811], [96745162, 53536356], [60009595, 97088808], [33295164, 89817827], [64173759, 32724778], [21235517, 47461036], [63725405, 10080645], [5379911, 9267580], [56452563, 50944461], [65667438, 82814489], [36494794, 72188245], [10059895, 14829427], [7554674, 45038275], [57155442, 13432031], [40795416, 49613929], [69252705, 76675447], [8005723, 89645975], [89875902, 25519521], [61043128, 70073981], [46363785, 10935635], [48599806, 19736750], [43286195, 88659327], [7285753, 38873838], [88534557, 31991271], [35566867, 23003568], [85459994, 54565607], [7994554, 2816693], [28388161, 36659810], [40339679, 91969203], [51372551, 48424339], [27716733, 19937386], [95746681, 95316814], [39332188, 21282496], [97319845, 32012864], [55957308, 83919791], [39215273, 18952097], [64896402, 5332615], [15156149, 43577783], [55942912, 61701095], [90348170, 12538102], [36990299, 56487273], [94713223, 96887148], [34952729, 4016452], [23207627, 25281610], [79825270, 12671154], [89124055, 37276780], [28382885, 71593295], [40359216, 23858145], [99631982, 12010048], [17786795, 18524213], [21836207, 32872522], [33476203, 46837426], [13968469, 5068513], [5009903, 58388842], [71465887, 10328273], [62483220, 88578740], [37064298, 21189228], [38354295, 47891369], [28387667, 72288016], [79891549, 42552943], [42773142, 22473788], [58899191, 40634145], [78231182, 17093056], [92445977, 75002755], [90414655, 56167158], [51669777, 41167459], [65417856, 79730186], [65450989, 48448743], [75587669, 85363682], [78875065, 89972098], [95989390, 23326055], [32940915, 30609551], [2749902, 10839975], [24232187, 69168981], [94129442, 84413208], [81638860, 94347090], [83817386, 76652290], [24942087, 35760921], [56687042, 75488123], [42840942, 52015048], [22636310, 75158610], [46319179, 45620119], [79216083, 27296329], [47776080, 480058], [48350309, 96052299], [75492281, 24721543], [95462063, 86793075], [38797086, 58734765], [63107003, 4432040], [7743256, 14053728], [61363360, 55549678], [33128330, 71882607], [63095422, 47057238], [10777535, 44857430], [60750002, 69420887], [99558187, 70698566], [87593532, 38091371], [31907604, 32123342], [10093053, 8964146], [90657432, 85262355], [62078955, 22514684], [61671685, 16061074], [79304311, 53211153], [54804294, 17432649], [40224541, 14367327], [76817508, 54987913], [79766401, 53832699], [57422965, 49950873], [31542860, 55641485], [27147813, 2402912], [71335370, 91374150], [82012900, 98976811], [35874337, 86633437], [18628954, 45980943], [38028378, 76045272], [15770549, 6653983], [28326836, 42901454], [70690127, 738557], [15018999, 78013467], [49988728, 39784106], [5257357, 51843453], [36932790, 64919809], [5762144, 8135842], [10421396, 62593716], [10704368, 11105988], [31939258, 19986422], [40852842, 69910696], [33570901, 27508515], [34036013, 35011262], [67117737, 55984965], [54730096, 50221921], [11268874, 34851578], [67435810, 32126249], [29425345, 97257929], [36137760, 76590641], [26915733, 34462661], [59617487, 87677881], [95530993, 56602368], [49601846, 940014], [67091601, 31423586], [67123046, 89752972], [68004834, 88873780], [66176548, 35425772], [84998315, 68588774], [67025565, 53745248], [68162896, 51660367], [3072589, 39131019], [51577525, 89531127], [76728718, 79441551], [38547451, 9318386], [38832311, 13867790], [98688719, 27567805], [73376168, 22027633], [25484462, 36597801], [63331358, 91765702], [33606648, 95782729], [53520083, 73109229], [1197600, 12606691], [87226614, 37289973], [2645356, 65277694], [97926690, 54948740], [80423082, 17109904], [74234981, 15781995], [10430412, 90220317], [7240910, 36718402], [65701811, 970568], [44997180, 92506486], [50129986, 3071680], [27653373, 5539781], [88181982, 63346148], [13855062, 85869980], [8718285, 5256230], [6798209, 72458214], [63461197, 33322518], [39684429, 78732390], [78765981, 36983591], [60013702, 74656115], [37059075, 63417046], [21288209, 6485392], [24108160, 13411760], [78624646, 23611099], [38163544, 2069859], [31634746, 25734682], [56815577, 18903631], [12756303, 35628865], [11323973, 45193111], [85019304, 68738774], [91710058, 3451909], [83384430, 56264409], [54565574, 59152196], [11221152, 88908668], [67422270, 74722124], [9415298, 6778333], [59539361, 30234948], [79886658, 75103648], [2474029, 68785592], [34580776, 39991940], [84041525, 65946125], [74257926, 36501365], [56105179, 43815211], [53482096, 59333081], [39817362, 60880679], [99563226, 34522455], [89664242, 4437285], [2733329, 83077637], [96150918, 64678202], [86300190, 10941011], [3924647, 88515685], [65100912, 2711769], [45209421, 78558004], [12388758, 52484640], [46527920, 34768358], [44247692, 70917294], [36789333, 90947175], [37121769, 16675489], [67657856, 36791191], [96479723, 90024787], [78942793, 11059964], [25716232, 65668332], [36457796, 800561], [43820085, 53964781], [41450298, 69980491], [45238327, 33074873], [14058129, 71026851], [36846643, 6294578], [50265369, 23577874], [24220314, 43837310], [43124970, 29706869], [36824652, 44442686], [65973875, 89503417], [95355227, 4483399], [89698193, 46931772], [48537093, 49643531], [82291178, 3522926], [86077557, 16506383], [69512269, 32024942], [14675785, 76890481], [39916671, 79523171], [68517840, 18656924], [13880842, 24209295], [97518727, 21644143], [99286424, 82599219], [36917506, 43572280], [88214459, 34391742], [33894355, 23198997], [29628544, 10787671], [95656002, 55466396], [58379551, 64537436], [78838807, 41077372], [60749271, 54178917], [23976984, 10089104], [26340016, 52514296], [67777847, 32756562], [92854656, 2493050], [86994537, 42294129], [79494925, 23857568], [48076185, 45927353], [52201839, 58012461], [30186376, 88269068], [77525815, 79772640], [43479568, 32189794], [38789259, 10465701], [15229473, 45027130], [96432594, 88202153], [73657188, 23423609], [89409964, 84695147], [51497634, 26919457], [98636649, 17182311], [81974203, 82089740], [78001207, 95296228], [91164978, 98603756], [59424276, 41025155], [46895863, 73525957], [42411711, 19257368], [815609, 44897298], [57711439, 65825907], [59210928, 27431941], [91773347, 75749809], [86741646, 57777053], [52394372, 76765610], [67882953, 73880021], [10970159, 55260702], [87675549, 250562], [1117502, 90564020], [97210429, 74507033], [79481553, 94396039], [87396109, 79786292], [16597491, 78759443], [9077342, 76194392], [90020291, 75401430], [88164757, 99725609], [25856915, 3042737], [85349191, 51496743], [47410934, 49156116], [55405795, 55387882], [82324252, 89793987], [91287805, 60603116], [97845140, 10840928], [45873548, 1170494], [83647720, 14807237], [79244673, 54882372], [27017100, 79068067], [81475482, 11179221], [97363169, 60200666], [49897112, 76692352], [62506520, 87322712], [40762716, 84448908], [97918781, 55709037], [6444603, 62304500], [62454612, 75211023], [93327630, 31664624], [4575865, 36582245], [44296746, 67124687], [86915, 12332092], [46026995, 20675987], [21818322, 27353228], [41235811, 54491010], [1263173, 5965348], [40745177, 33060909], [24319382, 44502872], [9730601, 71566654], [980329, 41893164], [47872927, 26522923], [4938780, 43837390], [23947237, 5116211], [41957953, 89876165], [94884816, 13133415], [87767398, 42213262], [65559580, 78335237], [81270343, 15841604], [36143056, 93351712], [25701707, 30368818], [6428143, 79304940], [37103286, 29236018], [10911119, 38414517], [83899342, 22407648], [93939927, 70381829], [9428966, 549184], [97040752, 39974435], [6633278, 49530402], [49904306, 24393891], [25945132, 82041214], [87578203, 75984340], [74783948, 95301644], [76800130, 3557534], [43305546, 13355557], [15721286, 97382118], [16164896, 29680578], [92657632, 99187968], [23041021, 57288496], [20865141, 29489674], [29546698, 20804569], [82215809, 96985657], [9183365, 47781160], [6818258, 57584096], [59094934, 8300636], [28749569, 29633656], [14974382, 21924972], [97304836, 83852256], [80973631, 223314], [33442582, 99740436], [77653822, 19614652], [20289471, 77887419], [98495074, 46873825], [12921769, 40290771], [41776706, 80348953], [89548282, 10932997], [17885536, 57092830], [31214963, 66738930], [47660858, 22635017], [13901729, 49613584], [6708075, 5411694], [96920383, 65570158], [64176219, 51636027], [20932808, 54587589], [25306280, 45447188], [92990852, 24691972], [8702257, 62435577], [91741096, 91789532], [26173073, 18785621], [20400070, 7771910], [10080435, 1338568], [90171642, 95192273], [35849415, 51175359], [70122873, 13099441], [63277125, 19381381], [13709549, 38845698], [77127529, 83652349], [58413045, 70243264], [52244955, 19031660], [8880546, 38643197], [9413831, 43408376], [40347541, 31309243], [33251498, 6939188], [34450903, 69978424], [667478, 35711727], [26462886, 91481027], [20657151, 81523172], [70823266, 99506277], [6604423, 17219441], [94630009, 44909890], [5232768, 96321795], [56047745, 88319068], [24111495, 41387233], [32720349, 66105893], [33620040, 4148200], [57186961, 99084300], [86674653, 46983420], [58997842, 41228633], [90571261, 73482818], [18742360, 32460488], [16014715, 11161401], [18403904, 75287046], [68917846, 89874394], [22128445, 31856650], [84291470, 84505262], [58952195, 21984207], [21043324, 85949888], [11905901, 82870864], [84174971, 47704120], [82192065, 2831133], [26585877, 27849372], [15396527, 59984844], [6375041, 6341533], [24784602, 22205010], [69125881, 20373593], [29661786, 76479930], [6656319, 54057211], [84568453, 68426648], [75779206, 51055914], [61111807, 25615094], [53738959, 98555573], [51074870, 91601648], [77280156, 97140462], [67944618, 69722970], [94694441, 32968101], [35939941, 94452737], [82078185, 77286415], [23693064, 87685863], [96730863, 6792282], [87028023, 64063647], [71694220, 38721495], [36177297, 97665664], [66018055, 30614777], [74763740, 30461803], [84575401, 36450880], [48975042, 77689672], [65944949, 31042176], [78764002, 7328607], [69602666, 26576151], [56412171, 36727298], [59966549, 7467773], [24085416, 21826525], [48750189, 80229148], [53988901, 38572206], [36152173, 71237413], [12152217, 87507985], [4449750, 64635883], [63884720, 51784585], [7459242, 55195822], [12791201, 35411142], [45799878, 72158711], [69264537, 46186356], [99254415, 83036171], [92416971, 70309795], [39383150, 39008375], [99365963, 7841246], [14555036, 92995639], [6703099, 65578158], [95728642, 68628954], [74700095, 2924316], [64169592, 85888288], [25168320, 50961123], [44387454, 3300359], [86408398, 45259879], [81021570, 48349711], [3909670, 28483399], [72519675, 8485481], [11437575, 81504728], [30388331, 35492502], [52462819, 71911418], [77863982, 51761988], [43025506, 70833025], [14471190, 93757459], [43396873, 3775337], [79986640, 65616452], [56837396, 5917748], [36906298, 15158214], [89273708, 24678573], [43365395, 55953650], [76254770, 97167897], [65637746, 14993871], [84545490, 11400687], [96033555, 23360595], [84822971, 44735542], [96012368, 28854824], [78673665, 22865632], [15595475, 95411770], [3798326, 31369289], [11775668, 18410395], [21733586, 11298544], [81450013, 98016551], [85163392, 72011514], [19470022, 11897333], [69162432, 14718714], [25435209, 14604600], [69262524, 56521094], [89026946, 77545309], [22333897, 47320996], [11749235, 43720404], [42358548, 71164442], [6111827, 11884381], [4089134, 47891179], [9789761, 19040956], [6514430, 40010787], [61919169, 23787888], [79615949, 52118206], [77250337, 33591289], [23493374, 16667525], [60005408, 3584902], [50640621, 9003166], [26382004, 84949357], [19980839, 58224110], [43670344, 662308], [43298179, 84162657], [33873582, 67519363], [36817385, 99985951], [52464219, 62975977], [51475168, 22138582], [56278457, 87289536], [11815977, 94719489], [78310836, 79064219], [36784371, 22048164], [71424483, 39081120], [14151329, 6072377], [38445532, 94572450], [46588911, 64902755], [19369269, 51090467], [62157392, 34085030], [86515843, 50567852], [69185638, 28825020], [2554227, 13945886], [77424192, 18909414], [20001112, 3157008], [27035430, 69327437], [52468264, 88518109], [77382941, 82494689], [55443808, 3892620], [67681304, 24745032], [36572081, 83896745], [59167687, 76005998], [5076030, 57396197], [69581091, 47116002], [2134570, 90671964], [85679860, 57079336], [71114189, 34832245], [50687294, 45688648], [99818368, 59037391], [22205303, 73648037], [51033961, 85406412], [41911384, 79026382], [34684215, 63479721], [5573862, 59341779], [53194110, 27836066], [76306133, 11935073], [7564368, 39335076], [6000356, 39073948], [5920497, 79097695], [9272797, 61027135], [89654236, 61962876], [7094546, 20186753], [831725, 71074049], [2226158, 41360752], [8330836, 3274366], [55459547, 29214023], [10513881, 24571668], [67090141, 24474596], [84525702, 84592724], [40110600, 38434039], [76105608, 66937849], [64337912, 64325037], [82320900, 89689427], [54511883, 16282489], [96658262, 95219033], [37095631, 24329753], [23974358, 43721611], [85002544, 63915539], [67871193, 68819091], [83469484, 39828281], [79013493, 19447069], [86955213, 66489997], [75450641, 10612750], [7591187, 84738966], [49101761, 26162325], [40500115, 47121664], [53766321, 81995008], [66690851, 98398705], [63047264, 11745778], [96274086, 10942410], [91259977, 20271338], [85935491, 41428892], [36265035, 12112564], [24237177, 29061797], [61278574, 29722691], [98322573, 18025384], [44500957, 76042440], [10965060, 48642582], [53487147, 99767650], [56800019, 47454099], [7324205, 30090550], [745710, 959286], [40853561, 61239844], [80968726, 85988366], [42891973, 62471417], [98868686, 24238975], [8661122, 17285408], [74367942, 84738766], [30575073, 17991967], [93412421, 80703950], [10308053, 57158631], [42881419, 63733416], [10481367, 61291774], [483124, 49649517], [61836563, 52106387], [44216783, 98889060], [86706704, 27723940], [58657216, 68961432], [79087821, 19657751], [78732958, 17053666], [7547910, 40345278], [47007723, 30198058], [87055097, 36801913], [78551310, 49743932], [139259, 3437557], [46948169, 25415206], [7843133, 4760792], [38996186, 93991240], [25367881, 6056248], [49539045, 9596325], [83461890, 68320793], [20530101, 39253913], [70541166, 91273787], [38150038, 94444605], [2470926, 64900607], [31422110, 19078291], [93574541, 22867377], [98788383, 50478837], [30582923, 57711193], [67570779, 84473991], [81735759, 49624278], [90444899, 79186061], [14181808, 21283323], [71079399, 79383777], [40783520, 85788347], [4328431, 27868010], [56876818, 57456734], [14036743, 39884347], [27995211, 25012526], [63151655, 49246685], [62604954, 75396726], [42108030, 3766579], [93529535, 95864174], [9885617, 83589163], [36222732, 77153193], [79982917, 96831519], [15697714, 98598157], [8827892, 45932508], [40048538, 71458398], [82308599, 54388697], [15209598, 28986487], [85209516, 36500112], [65012097, 62761626], [35014112, 9432272], [8116367, 91889055], [78053798, 47506229], [99219893, 54499983], [52816795, 43758447], [60314712, 31526383], [53135649, 53705881], [37788100, 81481635], [27313678, 61268886], [89535264, 1931787], [86940829, 83641388], [50258105, 84797492], [35474337, 63919745], [6085855, 96000434], [11914139, 17408498], [43768328, 18105832], [41022044, 12216531], [17659928, 26616595], [94460730, 901492], [94157832, 20516792], [93117136, 64863770], [58830770, 98024789], [70036826, 21464231], [46223096, 4343929], [70755832, 25837028], [39673562, 35938948], [19240451, 23888403], [81648066, 2260464], [22815820, 96973464], [47659276, 26295257], [50354529, 18429797], [29800727, 98378480], [47778846, 43920618], [12492394, 95664091], [8775413, 29094963], [56298930, 95735033], [78185166, 73032810], [8799308, 86927284], [8116585, 40438334], [96714256, 42543314], [8879461, 78229665], [54819135, 85297406], [74023200, 87961326], [15028941, 73982091], [37756796, 13942635], [32838436, 96742799], [36976356, 34562757], [55735927, 38843196], [66958574, 59192611], [50897141, 4380548], [63050969, 67147746], [14850983, 28237221], [29125498, 73791322], [5082502, 51497305], [45625244, 11389680], [55151826, 90648103], [37437158, 72197377], [26374880, 1855018], [26381355, 14401843], [70481350, 36067086], [60217736, 42442389], [14909590, 39542242], [2298403, 30703032], [49366446, 34270103], [67484963, 37313930], [43058342, 69993484], [94618416, 11997797], [85406447, 21967885], [91932225, 78243765], [17347765, 70398524], [78730636, 88480964], [86279959, 44047302], [3428547, 54925300], [53891212, 8805374], [53909088, 38722417], [82289844, 79337097], [36131545, 11029857], [9795799, 62704672], [77650599, 80525653], [89780736, 61996338], [27153194, 75771846], [58703467, 59675844], [12529664, 37703380], [8955919, 493251], [67217810, 25450401], [49638078, 85209044], [47980808, 56699384], [16541667, 58406854], [76686190, 42891930], [53343580, 7092043], [58332237, 12279703], [21452372, 80569059], [69641050, 35329310], [74751740, 20688175], [65516018, 35706332], [31848616, 29568590], [63178586, 84382150], [47539114, 75203530], [6116170, 91124346], [69766303, 26213931], [61953301, 91109490], [96398204, 10713077], [36426261, 65829018], [98262215, 67959578], [18759187, 40206320], [58097327, 28359377], [21813408, 73190234], [64927630, 68505124], [12862395, 60375279], [50469410, 60385623], [27067817, 90587460], [25846430, 20081613], [51676041, 37443813], [10088265, 16441500], [59833561, 96357164], [35904395, 64798119], [27745630, 2760398], [84684013, 47986404], [25890213, 70085780], [52090128, 18032170], [23756179, 90663119], [71171020, 63937294], [49518807, 95098525], [67087102, 8982389], [23819452, 7765885], [69764561, 9518546], [95432293, 42823963], [47399885, 67842270], [56384538, 52164887], [62721878, 93745461], [91759938, 36788036], [71745058, 4408505], [7513934, 54240427], [52853576, 27619658], [59230393, 64983153], [23144431, 581939], [27723533, 45717506], [91403407, 82673268], [67165372, 65914649], [36292048, 57198709], [86921171, 51352775], [41605604, 78736736], [80119450, 31921190], [74201181, 33095447], [43845594, 85112843], [15796091, 95612030], [68049968, 98528121], [40058467, 10963351], [32529307, 47944178], [99852845, 90649481], [35202048, 99333881], [50689603, 42676740], [98180951, 36914552], [37222388, 51537851], [12953260, 50078304], [67257075, 7635785], [69951480, 61821682], [7994248, 20105037], [46027875, 28290072], [98245690, 80328152], [11243580, 80390107], [86676980, 38545588], [39716688, 47806423], [10301376, 93070876], [96396237, 37698670], [84580449, 3779299], [35752041, 94135888], [91322822, 48042465], [15501409, 60899525], [13910171, 39939764], [40801342, 203109], [60834717, 65353671], [42632433, 6762195], [19203899, 27272258], [20570811, 82648040], [83465574, 31400098], [11206832, 90109642], [9455450, 33401233], [29144486, 88989902], [35936756, 17379135], [3606087, 98088583], [23722896, 67636232], [38432930, 62975316], [80945029, 23397428], [81949744, 43725831], [58421554, 24153826], [7549971, 38298808], [67726949, 66900743], [16807734, 98802525], [3201989, 32738979], [71857724, 30820240], [52095372, 28125542], [78020015, 97429324], [89373723, 49048062], [71373332, 69694666], [26516468, 80599478], [37043270, 26457435], [84962004, 26057085], [3727072, 38595766], [36055726, 65527489], [43310518, 90701701], [9872303, 20531733], [81735460, 20079038], [96140073, 44775061], [54849305, 57797115], [31136723, 7878765], [9574283, 35348494], [55416626, 36706167], [15746953, 67129203], [63163791, 89910987], [16335656, 67649685], [70058979, 14202837], [3680458, 50226245], [77560646, 37777504], [18259561, 3220805], [74218605, 32943467], [9213607, 28591596], [37494161, 85590130], [89023892, 11180177], [97443616, 61593072], [9377702, 9788576], [60444329, 52019608], [419137, 14243801], [94876975, 45659476], [66750272, 12898846], [37078125, 88222454], [15665645, 77455094], [28274833, 4989745], [59343170, 82816970], [76451102, 50216178], [97131942, 53371262], [32501421, 72454091], [4944984, 45318950], [26440954, 14742705], [44088554, 19287587], [16700767, 20039957], [37215429, 18035007], [5848751, 88104864], [12417467, 45803466], [96075668, 41509428], [53493910, 35280709], [52158663, 23473058], [92066331, 60637091], [42820118, 6877699], [31241872, 36768164], [20513176, 35065574], [92003489, 36261685], [34571450, 65156441], [44210533, 12469671], [53436994, 48552281], [34454218, 40389714], [76567608, 14976684], [92364081, 43506251], [759645, 23256729], [28791534, 28267158], [8172857, 18714095], [75393337, 78161933], [66225455, 3767698], [52277723, 54804238], [26257917, 63480102], [28665988, 52851589], [67986669, 13463088], [82684831, 77603260], [79985681, 84043634], [83195957, 31964984], [68367372, 82701245], [82833469, 42410422], [7468996, 25573828], [97633891, 26723536], [23421515, 95742126], [1525366, 41033223], [53116853, 64694403], [77222902, 89659035], [17891922, 56617778], [86275839, 11315717], [5439429, 51815902], [18111566, 82418251], [20637718, 63660425], [70283684, 62161182], [9098208, 23464999], [84691698, 18416970], [39265097, 72449363], [35747562, 85634978], [7277341, 87217109], [68059298, 23854916], [96533249, 26124239], [56917438, 5030611], [20508774, 62189453], [18905470, 55317563], [20084973, 53827692], [4672007, 61768459], [40046891, 93017473], [8230380, 85968922], [91663815, 54348577], [97588939, 91437988], [7268894, 29333203], [37822130, 72165607], [86500648, 85273415], [97201376, 53698351], [11448461, 68853885], [59330830, 35568586], [460622, 24989828], [51308608, 16350687], [14446356, 45528794], [81979116, 62346060], [55208706, 39918952], [82846107, 4244365], [23296959, 86829572], [48261246, 44813996], [9382267, 63353481], [62627520, 98243621], [1369046, 87201616], [95188555, 39934739], [98913314, 3521162], [55641080, 9399466], [36517105, 82172270], [8360330, 80227457], [11044325, 42211024], [24557184, 73549590], [63964741, 18903146], [75399028, 26405502], [39287190, 75955677], [50881053, 88122520], [55349864, 90846940], [55031899, 86931876], [31669376, 86129381], [42523108, 91259933], [85316924, 7678551], [48192015, 16794169], [5057788, 36650595], [53118935, 16702547], [15002553, 31332326], [4427253, 80704895], [34089351, 67168136], [6873410, 11614119], [51033012, 32882187], [76526085, 49554681], [93591884, 55806840], [60981087, 55512882], [41899887, 80309728], [49760273, 25905633], [55896351, 61808960], [97608976, 95703743], [19154071, 68122751], [26359706, 74029262], [61653076, 72118781], [19017140, 98381868], [15815016, 43404922], [59202738, 29430343], [93349307, 49681918], [28473218, 42771974], [55052658, 78923384], [21160967, 81248004], [27646286, 55276612], [2853729, 53314454], [77027812, 40836575], [65467700, 222618], [91501859, 91593296], [61383881, 32368057], [67187527, 15079615], [17042764, 7967413], [47464808, 11673419], [58537887, 13983114], [44635443, 7014097], [85104548, 6756916], [64783094, 92908806], [97023453, 82216369], [27300816, 23389839], [7540645, 72529474], [36525129, 87771380], [49844168, 82628681], [53451773, 22052252], [79591382, 49453633], [52219485, 2613467], [48329203, 8965634], [78185010, 39722983], [32420895, 69453343], [53507606, 20344951], [21126020, 91935069], [87692404, 55316340], [14133328, 35239449], [36765618, 52296943], [14614705, 45242646], [96832784, 69401469], [18393136, 43725972], [1068631, 72541347], [70081481, 85533134], [8601841, 79721811], [12578188, 55985326], [66024149, 50552320], [67379570, 12654035], [46804446, 94951000], [31554340, 33974246], [85418898, 27972004], [68163369, 19188434], [3508275, 61556337], [36417877, 84863215], [96501532, 12058926], [62526245, 8294356], [56115521, 8638265], [96446156, 48858786], [78913717, 2838276], [23372190, 43765819], [12358018, 78407388], [82407610, 8651201], [24810640, 57675401], [37789840, 94384062], [13924037, 83376882], [14935763, 81716863], [13878369, 81130400], [89289379, 56162537], [35116402, 40084961], [54216633, 90089553], [22809220, 92576035], [87589240, 13349624], [31004228, 19047862], [37523064, 39923565], [54287465, 31625258], [23508208, 90612201], [62043733, 68319025], [44983757, 32228579], [17872082, 94628252], [24022315, 6546435], [4068515, 1765562], [15329116, 24623791], [22676735, 96598594], [10646925, 23073654], [54602505, 13035795], [32301695, 86653386], [56142328, 41019809], [97045786, 73943549], [82487661, 54364058], [87018878, 42610725], [91294671, 89375642], [16830681, 35248951], [10347221, 9350249], [96920816, 37877584], [29126217, 70008074], [99743458, 71182536], [33436266, 61402306], [83359204, 40488799], [72987496, 71453969], [32222986, 91746488], [79276722, 33477469], [99265859, 18838205], [30559470, 87362333], [70404176, 44866164], [92817581, 8068562], [50518651, 10223808], [53697395, 22252887], [89809479, 52034038], [14263655, 60322960], [80899532, 296647], [76805703, 95949955], [96515733, 93979529], [82979498, 54491882], [49295023, 79617981], [67328389, 25161153], [49061238, 47077816], [30156981, 14359547], [16602657, 94337985], [53254253, 65215332], [18888700, 95818452], [29019452, 84452041], [62724830, 10771251], [27538469, 68106225], [70713506, 41529096], [74900693, 44457566], [41349791, 2033529], [96813197, 51350812], [5096820, 86527957], [17866632, 18772017], [16640285, 23739165], [7858879, 65754361], [83785268, 17815991], [16837937, 37311350], [63770258, 38194688], [23262772, 67775370], [71372613, 32536702], [40001801, 39567765], [46975466, 24860983], [41655980, 89263320], [64945490, 83628113], [49100408, 98819695], [30063372, 95464247], [43842523, 29255090], [25724964, 91389537], [9020832, 25783292], [57610350, 42380264], [9455770, 94677877], [30613772, 46534664], [28342624, 15122284], [18493688, 24776651], [22949685, 40182698], [57878148, 54921856], [52666780, 46439615], [77345287, 21612592], [14839542, 18216684], [40676537, 20574856], [71238953, 59762774], [4871236, 95567484], [25732339, 41744345], [52641660, 34454870], [23737246, 74041885], [84332123, 37851246], [91199840, 30976384], [12386021, 45064727], [67473988, 49485054], [43502641, 11774760], [51888283, 84571814], [45376397, 75369668], [65851001, 94862684], [68289455, 7339322], [60802025, 87901569], [92642834, 49647621], [35556565, 28547414], [96588798, 16513840], [31329607, 69353535], [81788146, 73459590], [57450202, 49991929], [89145087, 27340755], [38860532, 16233298], [5970520, 84691382], [34661596, 35008560], [54484931, 23977438], [35724080, 50888124], [18596237, 65584066], [43490602, 75465888], [94848835, 45436095], [13264861, 53659655], [89605723, 2091701], [44103976, 86342374], [58578752, 23443769], [73463310, 42826071], [16754796, 61864268], [89831087, 66156853], [22713992, 54599825], [26787766, 74947818], [55081339, 71416982], [46023161, 12162234], [26349717, 31169240], [95955605, 3654341], [16908932, 14384412], [85252978, 20918487], [55461905, 46511929], [76878384, 64890056], [44555862, 74213776], [19717637, 57004981], [64252268, 56516032], [52492332, 82995781], [22183386, 36672713], [84266238, 86968020], [61630988, 21560476], [84880413, 66912221], [44283819, 64308784], [70699906, 11044574], [21842249, 56126663], [42564074, 75062144], [81396044, 57037701], [91284297, 83944990], [8016233, 95017628], [41945277, 64005852], [94388287, 59687725], [93539955, 32192724], [2189661, 73044880], [67802175, 38201909], [95143523, 75477105], [12988741, 70513771], [94233450, 91677419], [21496360, 55768331], [83310916, 56063121], [60919284, 26595078], [27560313, 598633], [88348215, 67153954], [78475747, 9989502], [27354224, 73941635], [59340125, 32134834], [93383804, 62299572], [24494283, 6356560], [19121390, 92511236], [53553870, 9408282], [11394790, 68043362], [45074860, 11583234], [533107, 81917707], [57359439, 88882897], [41691420, 27561698], [45372069, 62147440], [18071240, 20642247], [62203328, 15344565], [87578555, 2858027], [38923470, 39167190], [1221158, 92516657], [5159315, 84464470], [69030582, 74462463], [66661168, 9540825], [35902641, 70053118], [54896873, 24768667], [94606159, 31274942], [32854583, 68190662], [716087, 70231342], [74976029, 83703214], [15579928, 75631968], [70955116, 64690810], [67367813, 36763577], [93307593, 49656243], [50359815, 54773612], [10665303, 76176646], [15716145, 38019174], [38921625, 95880548], [80431959, 91177396], [9174062, 36756696], [511114, 36597213], [67447269, 46407051], [19015444, 71646550], [65020912, 84510184], [62874161, 8089484], [93727228, 10180284], [28450304, 88420473], [79224152, 39053632], [79156036, 5115728], [42624915, 29492887], [87450874, 61468923], [92812391, 52489017], [70583619, 21248337], [98519287, 27675434], [89096687, 9508368], [37358996, 92457698], [57657614, 88801655], [35576171, 26109402], [8463326, 4675781], [22672532, 74261384], [69259156, 34899675], [45206215, 63204497], [99086832, 32916249], [58212191, 65847744], [68894283, 78051412], [90822343, 42664885], [36136456, 49184451], [2950943, 61402733], [89668111, 47154856], [3891731, 3684184], [56525367, 20961200], [28380685, 8041326], [8571276, 70007206], [28499571, 44534662], [23574379, 19714475], [23105074, 60946483], [1390639, 29313244], [51874406, 80287215], [75939150, 90474315], [25272702, 54439650], [93325735, 13690939], [80963675, 710979], [81720098, 9706928], [77104347, 7781652], [20770105, 68221031], [21977673, 68594199], [60784126, 85104125], [3793720, 12778672], [47142663, 54480998], [10595168, 98633152], [96496292, 85673400], [71032104, 98601386], [69578974, 8837509], [11327852, 68432640], [98488612, 22486127], [23801558, 69891671], [58916421, 45610969], [85579251, 52997240], [45333983, 23260596], [96612553, 48439637], [49960311, 79612671], [78026515, 4880362], [96769139, 33146524], [91673288, 34119270], [31718638, 52618472], [20550090, 79571102], [86926671, 65675609], [26042874, 51448849], [26633148, 76821642], [15932388, 35609951], [87731544, 33002987], [84999235, 88381388], [20561895, 76625453], [84144558, 23095790], [46795240, 54820415], [57425661, 21415381], [65966361, 41683389], [57904775, 10346269], [43459113, 82768109], [71581488, 74639718], [47918377, 58574996], [80535176, 60172344], [54792731, 77276237], [87927792, 47198788], [90170337, 36978891], [9245615, 31190337], [31354678, 57243586], [41663186, 56720963], [92025883, 92067180], [63629380, 24700283], [26153840, 38476777], [48504117, 88403283], [95162303, 85284967], [93668233, 38691281], [69534581, 56746474], [73256354, 87784985], [94876163, 53908446], [92926116, 80756891], [87431488, 9317255], [32122823, 34524378], [47866088, 53805468], [54809940, 79715695], [27392238, 99633705], [57318922, 59852256], [77469178, 71604523], [20534929, 63994819], [30129474, 79785300], [3519286, 61158337], [44735321, 74727229], [81352299, 75057858], [71713565, 6150586], [66013489, 45553999], [82380753, 59603636], [1375606, 56244727], [2925389, 3321354], [81473773, 75457807], [90768987, 39353288], [52322723, 62684616], [86294265, 52697002], [76737023, 94408341], [36851461, 36247614], [46614761, 56439033], [73909986, 12596517], [86731150, 64969631], [42854484, 39395461], [68205266, 3649725], [68195473, 89495992], [29787167, 99579930], [68326346, 79546210], [57606404, 24704309], [54732357, 4800554], [83530153, 41764392], [69548568, 15936215], [61088264, 93821072], [3369692, 93528119], [49853941, 23925492], [88867919, 15529041], [70329979, 64267337], [17170412, 46951484], [2921649, 46172891], [56208254, 86388481], [45754039, 48960414], [24201908, 42849620], [62174200, 75993428], [67240233, 19329767], [46781912, 41759884], [92883937, 48063964], [17964447, 38943357], [87683583, 37240833], [51203589, 6051149], [5399261, 33519575], [51517319, 67076738], [26262816, 61191066], [11428221, 30642557], [14751287, 74441273], [82690854, 95993330], [94345187, 87875], [31099697, 17574768], [32264927, 57063188], [94138961, 88787593], [60381761, 66119522], [91207290, 6624235], [33804135, 49394034], [24750010, 55528492], [60423412, 33466922], [10198385, 10117233], [83839863, 83604987], [53737684, 63459023], [49111033, 10467106], [14357198, 48199603], [79698113, 95154165], [29762981, 64320620], [3245306, 7852865], [55610793, 81822043], [42952544, 14568109], [70942829, 43233581], [70755352, 87704824], [57677426, 43349420], [96933476, 43624911], [24879937, 37826282], [93763747, 90829961], [14134362, 30183541], [13113346, 43334766], [90302082, 94050567], [12228400, 48021065], [55807388, 66159737], [28588926, 28667909], [63182412, 27779487], [63594769, 15217328], [93732937, 13493049], [64702158, 4030108], [13134923, 51556414], [24104998, 1850018], [26445102, 71896840], [27715004, 32843027], [18522927, 18603399], [23923640, 80810782], [76892286, 92112538], [91095135, 60712749], [10775896, 82397945], [4893094, 53256515], [29309664, 34581083], [23209729, 32640177], [24577862, 18149449], [21284131, 42064950], [56365944, 95786372], [44807802, 74219273], [96942739, 14431759], [87921507, 99548956], [34247692, 54790398], [61110243, 86525527], [71893026, 10534619], [25615488, 28751994], [83118216, 44754793], [28244356, 86447454], [32434164, 59611883], [83012356, 48020237], [46676099, 23496667], [75852123, 92345058], [8052619, 49379785], [49311911, 75994840], [31737640, 66085914], [63114718, 28483109], [39515790, 84290663], [23405486, 68831668], [37111717, 644032], [34644780, 84187443], [33224598, 4769803], [36506178, 4112840], [92956130, 93299113], [43763261, 21115643], [31462473, 7000529], [48714060, 94722766], [75333356, 75612367], [33413700, 29744773], [61834583, 13903647], [52077790, 55639050], [56447118, 23601407], [93112871, 81808129], [27986663, 88378352], [98066933, 88686354], [29469128, 63627423], [57496668, 33025521], [77309458, 68649403], [6743574, 9541040], [47818135, 34191801], [93486320, 71443843], [24825007, 25734163], [38836179, 31048132], [19417004, 9345227], [8142298, 57067283], [81075848, 70583973], [38355600, 71861585], [95717432, 51264212], [69397271, 47198151], [78629068, 71300491], [13366106, 83886733], [91658276, 57036940], [9915890, 13065910], [75669532, 74965764], [84672865, 30023581], [64047007, 73065210], [62992206, 44703094], [40528597, 87082750], [10635943, 49606654], [68655937, 7737082], [98794456, 22094690], [32446007, 35659489], [73783903, 5628099], [39060361, 9532566], [84560521, 75446349], [38435335, 88627571], [69556972, 61621489], [63673506, 29877170], [98824321, 88671914], [73027077, 60246243], [36902899, 20858182], [35508341, 86707852], [32501680, 10072689], [34703561, 49984492], [34703508, 87377446], [93879520, 89217852], [18088454, 12228058], [79680022, 13045004], [267848, 45889504], [69765247, 28710103], [54473529, 6525804], [13963832, 89097200], [48395733, 92778931], [95168865, 28787154], [48654103, 28458808], [73031792, 21703466], [83618769, 63616082], [41102518, 24401376], [80642453, 64104008], [53701296, 78377211], [55577787, 11081585], [8427634, 23289673], [62126542, 45932350], [54479096, 12430698], [59049102, 34945730], [28083201, 96025709], [93404640, 70705674], [47883606, 76990541], [79124980, 47303696], [94401160, 24037743], [12946821, 66015276], [70378362, 46697528], [3359901, 30465076], [51550498, 49347078], [34798233, 29364097], [34487726, 43476715], [12821583, 56003188], [63436527, 15459529], [80357503, 29345368], [5114433, 6239780], [7359057, 54393408], [58808162, 8722710], [23816489, 82058266], [30541923, 49218647], [99561629, 31340169], [29083888, 66515143], [85357232, 85876011], [61040132, 61845510], [97215372, 1221257], [53558339, 74456340], [71282524, 32214997], [57487780, 85353354], [99736035, 87885619], [95717506, 15212247], [41943641, 39054013], [36148830, 92791046], [76023549, 95253584], [35515490, 18694521], [11157249, 95196186], [49549073, 97962969], [23804390, 53602677], [87289118, 31422821], [3396955, 15089625], [51840317, 61296404], [27169604, 8606070], [79768637, 69083869], [36745847, 46166024], [15154323, 17942458], [96069569, 33851833], [322296, 60264937], [79348127, 7549002], [12398368, 86810497], [50864070, 90137013], [32389559, 29596257], [44146424, 13209467], [31868318, 97616241], [63823570, 28663179], [67151394, 64469067], [21380096, 9917346], [27618975, 66608266], [78475292, 68810136], [86690788, 4366455], [3498807, 42685949], [45454350, 5982631], [38801485, 83673870], [71840504, 59881717], [1501259, 46008964], [81103395, 76853569], [69259558, 93140864], [97465765, 9894440], [91559828, 93727659], [61540292, 14167494], [46023844, 38323081], [76968803, 61648954], [89740136, 64242899], [45571622, 88050820], [74800723, 50472588], [42925775, 51748755], [99321, 45623136], [9304390, 98522657], [37507968, 90904590], [25075402, 60710702], [86163033, 37985320], [36952246, 36826877], [59352666, 61859567], [54796256, 95362439], [56565929, 8330734], [50931904, 61285862], [73721943, 32240171], [14742449, 45089757], [44774292, 97636953], [80298468, 12584919], [33196537, 28237862], [31159766, 76514913], [93935299, 2403262], [5675321, 23946919], [93860480, 4511488], [13488937, 65196465], [5195039, 50633271], [15024511, 84782000], [24648308, 51575658], [28839322, 6682029], [6005956, 44940186], [63278901, 77921075], [34921366, 7688709], [14463423, 17518982], [23704147, 45009092], [43481624, 24788937], [22557212, 57413257], [54832170, 59212460], [55023068, 49630700], [69402117, 88067596], [27118564, 27933248], [65869982, 46515228], [34888023, 26412837], [43672440, 52548766], [78761251, 52884839], [3276406, 96818580], [72326725, 75213762], [65154360, 7901328], [94044793, 61922300], [96312327, 41341939], [55103374, 65061101], [33221977, 78239972], [15317001, 73524293], [18730153, 97522577], [68046043, 87891516], [99637170, 80574780], [38473989, 66402544], [32789288, 57914205], [30233013, 84513147], [44790472, 60740952], [10722761, 78845213], [59161424, 27584340], [59286763, 19144692], [39302551, 87742382], [27309726, 95710825], [4964978, 95875600], [95822219, 85095987], [69876493, 60637875], [64450949, 8847586], [20951957, 53854613], [73765586, 34382252], [65464402, 17834570], [34298681, 99290315], [39801681, 17411732], [28397862, 85958321], [61449465, 77904937], [78654996, 62397251], [71817319, 69792652], [5640438, 69234611], [99333210, 82829858], [33594515, 62716396], [92845186, 87333314], [38220267, 92571035], [55909895, 67445224], [29426498, 54325109], [61119383, 47818265], [64355801, 92458895], [66460305, 97509825], [6273312, 35287754], [50447822, 43772730], [7067329, 3216787], [41630302, 90239138], [75447051, 10742582], [52839450, 70975873], [67799459, 23204201], [54506048, 69136707], [74486773, 98907944], [28252100, 23024736], [93466121, 89183375], [39183302, 90358645], [63429330, 83046411], [85601477, 96381037], [15425734, 49744852], [16711776, 86779486], [93577516, 15881104], [96806677, 66708283], [42999090, 36342598], [37423946, 2344503], [36680748, 21371764], [47881819, 15815566], [65763088, 67531110], [16515629, 89973617], [56360713, 83028381], [21541540, 78378494], [19141978, 40315994], [28693024, 11857780], [44763605, 45674963], [7006392, 38662810], [79597477, 12189700], [68029601, 16754069], [38975315, 50451574], [79622100, 71072569], [24053505, 54333682], [95016474, 34076723], [38619779, 12060974], [61822611, 34696048], [22285480, 41961967], [31439597, 10230243], [51338284, 97299562], [77815719, 24124199], [93208006, 50785513], [5233195, 70991809], [57991078, 4694056], [30919596, 21263204], [90723204, 55040956], [10621512, 46169412], [68763243, 3121859], [4647768, 68905531], [584181, 81624551], [18550105, 66948089], [90428312, 5255099], [95972008, 18631778], [1917683, 47915246], [91827181, 16922292], [33950718, 16444176], [27517895, 88750558], [36900889, 83454568], [31485902, 69647183], [55292748, 3969766], [82058346, 29203951], [77230343, 45583014], [10942760, 80014613], [15094007, 69591071], [13426506, 18220689], [52275518, 79663173], [66982099, 53734161], [9371747, 78622315], [14654425, 90855996], [59287056, 17291135], [68001361, 26372551], [31432819, 66710101], [918508, 60174910], [80256410, 9865314], [65407972, 27077821], [97088048, 75511111], [5533619, 50230050], [29451664, 78171820], [20550482, 43174885], [62406808, 44413972], [48241288, 16174115], [93001892, 51692385], [98785527, 41048799], [48836709, 53201092], [60883917, 44213613], [95358480, 23470170], [44344892, 38497556], [39928923, 11805279], [96639076, 54528497], [36193997, 79192403], [57585877, 21463202], [16127517, 15168266], [18383776, 19232398], [41804252, 92112005], [77221133, 41084202], [87492151, 35872115], [64566191, 20695507], [79558943, 40945648], [73719015, 45033496], [84615238, 59174820], [40508610, 2421515], [22400447, 52100298], [28894098, 20050717], [23225675, 50681601], [49820476, 25321814], [58072010, 23712589], [76318642, 26418083], [55893136, 8352113], [38646444, 17367146], [99412930, 45449852], [98074999, 14616456], [40356352, 6444873], [62434320, 44189699], [99180753, 53371850], [88203149, 43711631], [28835004, 31407491], [40619281, 22082887], [75662359, 27312443], [91084692, 87979045], [77530412, 61236636], [11031424, 82766209], [15484080, 37152186], [52832438, 68169225], [22991688, 9169237], [51828494, 13601504], [28643759, 84729759], [91901850, 93127427], [38339680, 54037601], [69560639, 51468238], [49338677, 36869373], [71727184, 36533336], [18472952, 68655462], [18769783, 50228027], [31080970, 73764814], [75216314, 71770423], [2526233, 71655309], [48309096, 53478573], [24007405, 16303554], [30117314, 87541730], [91104499, 2689886], [71360695, 86040285], [48116259, 4084820], [68041794, 6620219], [8639479, 64155676], [11159619, 32429162], [34403342, 83832028], [15512513, 76921227], [15274947, 99357326], [99461729, 60700882], [77572101, 62209616], [67458474, 79926844], [92665644, 19995789], [3810065, 72733256], [20941441, 92782624], [87941605, 33109644], [64261947, 92963755], [49093554, 96896980], [12358783, 56049599], [2975907, 19457444], [18160549, 19280897], [77455750, 49965273], [58159980, 56840525], [3554388, 86734983], [19319009, 71267298], [4244750, 38427020], [87617879, 18933795], [87888601, 70090591], [95022140, 51689857], [33919989, 65887749], [6916129, 9767091], [7095044, 29082499], [31390228, 67606437], [64936208, 34518447], [53579775, 6415395], [6767255, 282804], [4534787, 80994651], [43150770, 16198884], [43652236, 36917985], [50179990, 18296671], [56360421, 63155552], [44983588, 33800400], [69538443, 73567510], [43243059, 5255221], [35140537, 83203591], [92310032, 49051882], [7435472, 92816026], [79376276, 31183703], [5643629, 89911809], [95043163, 46890752], [25374490, 62344375], [34382699, 57496447], [67849350, 81302301], [60240865, 16430537], [98534818, 89568050], [6294944, 20478711], [81773518, 22697699], [62780092, 51237300], [2444966, 74210704], [72060492, 66980462], [70367402, 70038010], [17658537, 66610915], [68356606, 55212259], [23278631, 8493800], [20616463, 63636674], [46060941, 63582636], [29869334, 5026720], [37856516, 76051796], [89401597, 73406623], [5885549, 75754978], [29413837, 52260416], [31319522, 4148254], [34610786, 48340253], [98879448, 7630908], [76563061, 28549357], [6574300, 67633125], [25293363, 96332622], [22914917, 20740413], [61773356, 27139379], [73679232, 45265977], [69542392, 75319945], [55258044, 38354182], [31598585, 57055895], [86179834, 37648031], [18506458, 94201587], [61684709, 72572407], [63315985, 84557123], [65152917, 86568023], [45225509, 49989443], [40552925, 60500994], [27086858, 51291723], [24637301, 55504062], [38120213, 79971206], [60052517, 6841095], [34680311, 54948651], [35462371, 76575618], [2508934, 73000799], [37506314, 14808392], [15576453, 83622097], [13353898, 62424468], [42524153, 33973656], [63051961, 57958964], [49874634, 20995263], [23860777, 90306687], [84727547, 92841927], [96511343, 12719381], [68986181, 95575770], [3061166, 54551063], [43756643, 37325266], [65113119, 57536441], [53091755, 82033964], [17440720, 15389128], [55800953, 9987516], [97094281, 21783113], [87323850, 59010421], [1096681, 41210541], [59830437, 21065070], [26476840, 27034489], [86648124, 50255455], [73672483, 37659659], [47105094, 5455058], [75030668, 43630707], [31539600, 87352794], [32552225, 91704038], [67889622, 27223630], [39497226, 9741040], [78871856, 35533562], [31818061, 77083206], [23097466, 38859142], [11894437, 57757459], [41837121, 66356206], [85731311, 74535532], [51223399, 5189728], [75534046, 94008633], [43951474, 43471757], [59998504, 74216251], [7949607, 75839427], [26418941, 37186778], [16377921, 91339455], [65225980, 95516434], [22420124, 37706076], [61098515, 95583012], [55842366, 76784296], [31321893, 66458301], [16572309, 97745076], [57432871, 76455433], [11076450, 88077205], [50826733, 71782092], [82965290, 91321196], [6813155, 9669555], [78890435, 23732806], [35703511, 86015818], [53012246, 61475477], [69861069, 8629455], [76898427, 54673875], [80071835, 17915005], [62733964, 3750360], [91908772, 40087000], [87606122, 86240705], [12178317, 81940798], [47902211, 74609373], [72938043, 29741979], [6662658, 89985802], [21840042, 82663864], [30266281, 39253737], [185597, 57645864], [8227123, 81568656], [69260752, 61168382], [88082504, 15431686], [71794425, 27909049], [4247893, 37039800], [26496683, 9127218], [29606862, 19296360], [60936859, 19994535], [4501742, 39416245], [30301131, 47391445], [4885686, 21478174], [73245, 34448371], [41240265, 19314403], [738651, 90706962], [50053832, 17670195], [65828153, 76717029], [23194764, 32565476], [4879263, 30789741], [3160551, 69659850], [37602235, 49003780], [74789737, 8791872], [22729554, 88838951], [56736146, 2451744], [73525115, 81008456], [18336771, 57788133], [33235435, 11009046], [39422336, 52435409], [76514863, 30941929], [93260899, 39620665], [10970420, 66981178], [98554796, 5682793], [69312068, 90451231], [90539855, 46028481], [93658428, 64737001], [42982077, 93871340], [43083404, 55601668], [76422512, 43619270], [19361770, 39769216], [94824182, 94387951], [92936851, 13626398], [44944259, 28432595], [2354294, 12721873], [97485044, 92841395], [61201205, 55711394], [18664678, 33939713], [96745678, 97929412], [22967282, 20888458], [19884466, 6112392], [14883105, 28525385], [23009645, 68861074], [51010300, 31606499], [56168169, 30906790], [44640893, 20892083], [5690664, 90029071], [55397132, 32051969], [45609256, 40215218], [61569299, 10328323], [2138776, 49625901], [23066723, 66844821], [91018433, 60452788], [7880281, 55227463], [8159669, 39357856], [6834062, 90310337], [61615672, 93160545], [951439, 16770148], [8100992, 64973838], [55414278, 30735575], [17243160, 67826670], [75452465, 98820379], [61050938, 26056983], [60946946, 56701411], [33985460, 8648014], [10318684, 29420479], [30348180, 54835827], [52203367, 47492230], [95620813, 40792201], [1464277, 34442736], [24700456, 41522187], [45222981, 5291656], [82867674, 60311231], [22609714, 96603732], [94542343, 33139688], [48988668, 53079914], [99497440, 34710839], [83162057, 37646754], [94371428, 62385532], [13059680, 62804143], [39920673, 90721132], [73432912, 87555470], [96951784, 50483709], [49865180, 57814065], [86602459, 72552596], [2691694, 83731155], [20119431, 91919057], [9737592, 20479354], [58191956, 89787666], [48245230, 67704334], [87354121, 88994643], [16672288, 10509320], [43360409, 18918915], [13169062, 74833704], [86739986, 49874959], [78534481, 95800611], [22944045, 41074520], [51334342, 37517226], [88565304, 4179170], [4157087, 34317537], [31047693, 68202693], [58572686, 23610943], [64321901, 47640097], [54312504, 65982902], [2753477, 17093642], [1213598, 80868445], [97741724, 90851977], [72696663, 36555315], [92504894, 40666542], [10996381, 16757259], [18511139, 7488066], [39830003, 75465694], [81474644, 9536286], [37040326, 93709438], [18886872, 68997240], [88325542, 82397897], [86059431, 57248039], [46183868, 95651493], [82530701, 84647345], [97837834, 57082893], [36525297, 15055631], [42259296, 34812618], [7995142, 55566510], [64442969, 31503643], [70574629, 3983151], [30286063, 47012479], [53719671, 11810766], [81971678, 34583581], [50587916, 83338924], [43692670, 77771138], [65454712, 78754351], [83822057, 82028571], [46964728, 89120238], [15056652, 74040959], [34682829, 21057217], [91776893, 57481077], [27639871, 90094324], [5295558, 37634375], [84274282, 38855588], [85820671, 27825796], [44198753, 93234217], [19545659, 94159274], [20233295, 92337276], [5604005, 59233075], [25186956, 41934419], [2762421, 59522757], [17317785, 2558756], [51521010, 24155910], [97930709, 60106123], [22258556, 55289221], [71284635, 44482117], [1386468, 9724442], [48849528, 93076495], [41729878, 79044320], [47351591, 77378810], [50110043, 78099008], [66857045, 18929397], [14996495, 49846716], [34580309, 93144719], [56787945, 95660762], [47437012, 61520266], [67522140, 33834925], [43398871, 76516727], [24663436, 9337416], [10841491, 95633391], [6615256, 13349380], [97902674, 68662387], [37883786, 48073303], [99261976, 69342112], [46145721, 47481226], [88041505, 4361144], [9580772, 18798089], [97483798, 17806772], [53483217, 91450409], [80494971, 88930219], [76839436, 58193938], [75756198, 7446251], [13352594, 7295939], [54316180, 32551954], [41314337, 6744723], [79540326, 86478174], [28746833, 19985813], [11131310, 23202151], [65625520, 99234756], [1989767, 13163759], [12943907, 97027026], [91966946, 91926937], [12488188, 43354822], [87538403, 22729310], [24273392, 98857847], [55909583, 98767381], [58590349, 62425256], [70796300, 61130059], [63323355, 90276662], [9504158, 89169622], [78774705, 12256871], [49076956, 53967883], [29467043, 66177573], [47504878, 21468743], [59215861, 9543348], [26862502, 52650626], [63970228, 35114119], [29162745, 66133212], [55862899, 45230959], [9350777, 42682885], [56023853, 59453949], [69512659, 89547246], [45915202, 15458522], [99233621, 16781899], [74341689, 24215247], [88975626, 2221621], [86303752, 61410587], [61993567, 77256414], [36621981, 65995378], [91263383, 30469845], [93476194, 55897875], [53349439, 40335307], [54252378, 89917614], [74382898, 17049391], [73704259, 94083469], [4583977, 60505735], [57810662, 39894325], [58449159, 88873359], [38416574, 5947275], [84052241, 76247786], [77927870, 14740263], [850882, 60124451], [93545085, 96574921], [17294516, 83311611], [3625730, 92561528], [65367134, 44359421], [4015458, 80489267], [65639927, 37041916], [64959248, 90876550], [60772445, 14178251], [23814342, 28302351], [22459085, 88877666], [42047545, 59879667], [61652216, 9691711], [51960135, 98805596], [13705135, 9951987], [73391518, 25944180], [1241976, 88316402], [23247151, 12556002], [48845725, 66438460], [13306309, 32046446], [98073421, 61320809], [44975493, 19078798], [24184429, 84079261], [20231292, 13642807], [22736991, 52238157], [40369497, 79187212], [88281395, 16470391], [9425828, 489967], [66222263, 42184962], [1934772, 51228499], [56282277, 86458852], [42669713, 40221364], [26288751, 55359908], [75794118, 29896711], [12084317, 4984000], [44274556, 87813135], [4701821, 24205445], [11471912, 52347599], [91609584, 68982880], [35763110, 31268779], [9797936, 85140168], [49825993, 16985501], [22115721, 58148376], [73995766, 75217874], [41395345, 32130317], [89341414, 94960592], [67558590, 6455029], [82490959, 45413811], [69705209, 91926341], [31323369, 94192862], [70179978, 69693624], [89125100, 69048437], [42345406, 31614917], [95836670, 15594994], [89585099, 82655028], [7046557, 18344745], [34617204, 75726306], [93269683, 21927048], [71770008, 85834861], [242028, 65284479], [56673657, 85547475], [84993344, 31653178], [14006048, 61684233], [97383460, 83747573], [5099237, 15311540], [66317095, 93742300], [6092638, 3970567], [11126994, 76671178], [48176861, 29022169], [41973421, 15003016], [92818798, 34551567], [46257087, 51224000], [1129550, 96817608], [25900465, 2019153], [74564634, 72793225], [4881202, 4706355], [86151803, 62140594], [42079456, 3235820], [74242511, 58798353], [86824636, 80525892], [67003614, 64114600], [15120807, 81891869], [41472406, 42895743], [11727647, 13918097], [4037021, 77951706], [90299085, 75726752], [26276485, 10949333], [25310589, 38742422], [54253999, 11761949], [26039381, 83222627], [37704521, 5688309], [76190551, 6676046], [28554904, 99221096], [75941905, 5488951], [93389554, 40530347], [95102347, 3209333], [41676750, 66757828], [53654208, 32358480], [41421187, 78408929], [46589821, 18762054], [26375059, 46048046], [33538986, 4266406], [87980397, 2209963], [64920644, 69747597], [57245744, 20826109], [97000904, 16757504], [37602235, 2261930], [42639101, 60810506], [76741936, 40732036], [66476177, 32507636], [91327975, 41999934], [50361607, 60133863], [16052930, 41700614], [29196778, 10999097], [8496681, 95117659], [73130823, 87073223], [55489366, 80370921], [69550209, 69822319], [19721700, 6212670], [22157272, 51598038], [30702348, 78095107], [77038132, 91600168], [38438791, 87153460], [76002383, 53997937], [48789815, 69941817], [58198921, 31510706], [56467749, 79791592], [23957755, 6168597], [23475435, 23220570], [95676553, 89291629], [27911459, 85793218], [23563175, 86979960], [10102373, 73453852], [65797492, 7990875], [8318085, 58198248], [10273530, 79844375], [24826442, 36042761], [3481133, 84093091], [88238295, 33459989], [22206355, 40288240], [91303945, 70324363], [77473612, 74944105], [46969085, 25455502], [99126838, 45539984], [71380018, 23044610], [93436791, 55371082], [67597397, 4967294], [96727486, 82421523], [91200073, 10069481], [9307993, 12516520], [96539585, 17964134], [75977839, 56977173], [13061403, 89276057], [80441877, 1580103], [82121615, 93580826], [58736244, 19131368], [19625545, 81897045], [32278714, 49033941], [11418635, 60304192], [46761053, 95106091], [23863025, 44016762], [42705744, 91084875], [54595945, 65227487], [44737076, 52679935], [98704296, 77872631], [54378843, 48406983], [47289845, 96148167], [5627370, 86116675], [26625241, 20683168], [5201185, 65961073], [34744245, 77873818], [13951643, 69185997], [64419892, 1047533], [42294549, 67303329], [29350872, 64002698], [69444677, 70508616], [66514015, 62308225], [64972402, 19137070], [64704647, 1013132], [77110802, 35004462], [91832695, 31968621], [77172086, 15116330], [56230129, 90694301], [14843699, 20925221], [91204286, 8708340], [55705850, 78016274], [61633726, 96094989], [98408368, 80741502], [21448244, 4748874], [86598713, 60496436], [93103801, 94053633], [77791821, 154135], [42617338, 29872473], [76379501, 58883248], [56366332, 24837656], [89871728, 53627310], [1701805, 78951817], [24189160, 71899923], [81027785, 29809562], [29801940, 21075926], [3517363, 75199298], [89414326, 5165300], [31604890, 11334931], [21248475, 93868887], [59308047, 69199136], [25239131, 23865848], [33828617, 91659516], [64643745, 96360670], [14076109, 25423424], [83802110, 23757777], [59807533, 48516598], [5896835, 228408], [11278623, 20470316], [68222004, 48108026], [92121718, 71038916], [35989319, 21615252], [77231558, 96274503], [48892778, 64649504], [88114665, 58417739], [19840839, 90349964], [1713210, 75939174], [28218605, 99766646], [83019392, 90642963], [12810105, 59014290], [43311248, 16916992], [32057878, 97821458], [42307960, 67182604], [21983104, 34703832], [47748074, 51169752], [56079644, 81363959], [32321552, 70181342], [28594841, 86857105], [85157508, 93229985], [90664163, 52847834], [7815646, 6024006], [63336357, 33908528], [31813404, 17602733], [71185402, 39909929], [39511589, 33979784], [73029172, 67865358], [39662786, 7615988], [53207172, 35440058], [91469289, 14771871], [95893588, 74820652], [6346418, 53907641], [53579371, 37986019], [14562358, 89473383], [16755616, 7386782], [83522075, 90043734], [12096977, 55960259], [12277238, 47431408], [93236338, 47221934], [12197751, 66033970], [16343806, 93158495], [6956291, 61563660], [63385303, 11555874], [68293717, 49694482], [43478755, 33100392], [92683059, 88183135], [41684301, 63419611], [69979175, 71740508], [86273619, 38521465], [6782003, 66979788], [94501158, 46776925], [45134379, 30229860], [18633363, 12948379], [6312223, 6749927], [92273214, 62519554], [72049038, 68629668], [36763478, 36924717], [71525180, 28473769], [73500965, 97545620], [57821170, 64979861], [57815844, 96058018], [38423969, 99347479], [23803100, 2225091], [12580050, 49472159], [18330813, 20826676], [48157504, 14565031], [60164064, 2559424], [38725623, 83717335], [84360213, 64093803], [68505048, 6534962], [67534476, 52481889], [20804051, 43833606], [20571998, 26062349], [8872652, 85950921], [81491727, 11357083], [32293778, 52492155], [66936601, 99204850], [88363552, 91896591], [94135788, 13970731], [71320057, 76615258], [66921727, 6987260], [40747065, 98509735], [52589697, 8473878], [12686254, 91756793], [51825988, 55567394], [88432120, 25430908], [83791584, 94357820], [71119285, 54258775], [8880141, 15195057], [26801438, 68860489], [49961781, 85986491], [37877924, 60052967], [69005357, 81239662], [43869167, 18503988], [80167339, 41754881], [44788598, 31733477], [66470026, 80829336], [50569055, 70701536], [94921249, 52159862], [41861662, 61158736], [37413882, 90318117], [3696746, 52738419], [23594461, 66687552], [81544445, 42005831], [89384627, 22923500], [67218723, 61111129], [91422616, 16211686], [61234958, 6830796], [58046691, 95093841], [7887417, 73868138], [89622788, 14251252], [11652282, 65009561], [50464479, 4964420], [95605803, 49101114], [81429024, 76572418], [11767300, 68428646], [8216020, 36427621], [76629346, 13884677], [89122750, 60222562], [10007583, 62860962], [50178563, 20600095], [8389471, 60727915], [57689374, 57551780], [38264727, 86435317], [81010268, 16912986], [18207074, 28809150], [64647300, 94008656], [97854141, 10305059], [3586634, 14763308], [24560403, 73025813], [93284530, 92534700], [67252113, 77370856], [40988126, 64420037], [11561700, 34299317], [78759760, 96923832], [27130551, 11118211], [44074577, 45921516], [73016404, 41291575], [50494833, 71544018], [63826500, 19046257], [68559453, 38203544], [55534184, 91911617], [83853317, 74622639], [49185773, 35264290], [23635900, 44556883], [74713691, 45614674], [82062200, 18328321], [18901166, 92934794], [99853746, 11390146], [43762353, 51611864], [28039989, 16772464], [15071091, 7300847], [7326244, 24098703], [21968540, 57519194], [95922560, 61976525], [90224825, 73307850], [99376248, 60219962], [9721054, 68665098], [96267378, 48465489], [66399023, 28058411], [59518425, 59419650], [82879509, 52651175], [29534697, 96759534], [48795456, 50578530], [99265309, 97398355], [74010254, 26707130], [32948334, 93473538], [39462057, 31306758], [69580568, 61136399], [96495682, 74574835], [39659992, 27724586], [90654929, 1545356], [13148702, 71580499], [70948570, 62991191], [28999164, 61416932], [27878921, 82199349], [41042952, 53385847], [93286947, 10972917], [16786133, 57103357], [69783862, 75240715], [32082433, 51216374], [8462195, 44442261], [37637508, 37201380], [44444675, 4246936], [51126018, 99218911], [43912213, 56572927], [88250391, 97137275], [18802079, 38933939], [98786615, 82411628], [96062433, 46022213], [44830245, 74698021], [74224552, 28490667], [34017157, 75385978], [84012968, 17277094], [59919023, 79277418], [79018665, 89269442], [8240672, 16949330], [11702165, 45120921], [52287756, 72976529], [91631854, 77669690], [76926666, 34247674], [15372688, 93495683], [42049955, 63425881], [66729040, 98993269], [36610212, 3896989], [36436388, 63807657], [33246485, 50252096], [69950145, 79499589], [73316687, 19943387], [39791615, 92881928], [41251836, 51468372], [45228499, 21387508], [18248238, 79727838], [5314404, 30659630], [81456154, 92282916], [67236204, 97340910], [47834808, 82844428], [87825623, 29572657], [36178660, 91064868], [74510629, 39871835], [69145469, 23285113], [34380820, 80007488], [12410685, 11208408], [53180533, 49924702], [86240872, 12106259], [75130739, 92522661], [8388802, 77149033], [17011267, 32809158], [40434588, 4727269], [30975086, 69327748], [51641520, 70574406], [17591295, 39256675], [88925829, 6206320], [58223153, 84524088], [50647718, 50567510], [7640918, 84917819], [24248857, 21586664], [25265116, 34110245], [40357546, 267267], [6500347, 58005811], [81025832, 57222358], [58640270, 22793340], [9230964, 87891153], [19260727, 18726532], [9638683, 15720204], [34152955, 60614097], [29784957, 11950778], [26760124, 23945753], [58547480, 70346821], [59262557, 83615122], [45841437, 75333441], [32935377, 44798957], [41872250, 39533696], [50026975, 50926242], [32223211, 17896143], [37432068, 35684701], [46119886, 97632663], [75703681, 56665456], [91440215, 20284834], [89014981, 4989470], [39440874, 48881616], [51672641, 21726766], [48158170, 7186910], [82734376, 7195382], [63276029, 51500863], [50764294, 30484932], [54635180, 91729733], [87375721, 79846395], [73969037, 46798623], [14668233, 20505524], [43937101, 2970121], [92818982, 64793942], [98670329, 98181999], [4756105, 74122455], [23664279, 68382278], [38214334, 39428431], [26289481, 31702324], [82094878, 59022957], [52305130, 66458640], [80319924, 45379807], [59094149, 4496852], [40418651, 19289114], [80170100, 88957442], [37674885, 30355972], [76784433, 3100839], [18186084, 10428813], [8346616, 84450548], [39291425, 27885560], [86911892, 17309443], [90732051, 8380633], [52543517, 51702531], [91712372, 82065041], [19031733, 89477829], [64416329, 64330184], [57468868, 8896697], [18641957, 12924379], [72742894, 13452299], [10829630, 60917078], [51451313, 32167575], [3873837, 87693950], [43636176, 96035338], [28063008, 74051597], [68138894, 23440993], [34229886, 20545587], [37139562, 47963810], [60955791, 80418008], [66408192, 23131694], [68678414, 12857933], [99775135, 74767477], [39869756, 5511845], [7720890, 46792945], [96920037, 92010744], [19360161, 17201047], [39274247, 73071348], [2380896, 20141841], [35062446, 85288272], [25455744, 1351541], [9835847, 37878058], [3567760, 19975564], [41669641, 45544974], [25452580, 4800395], [36632390, 83658686], [99686748, 77189676], [3658011, 15688325], [38766278, 38541391], [33132489, 81525533], [90630164, 61000930], [94691157, 56191], [98272512, 94386281], [43593983, 6881528], [50526960, 35700100], [65598008, 58352638], [34636649, 9713874], [504195, 22361088], [63437561, 16663421], [36070322, 28422763], [33613080, 96443326], [21993237, 19542157], [80208699, 61005877], [69315270, 16805976], [44406993, 97983860], [25478603, 70728036], [85856602, 71409504], [22867095, 37232826], [5867557, 12088780], [78501691, 3480558], [71708791, 82190176], [8051001, 22336949], [59522864, 40909457], [49252010, 10037899], [92233839, 84125757], [8999814, 95227719], [29432715, 28187384], [46297514, 36291074], [79342155, 81111768], [16054389, 4286007], [28847556, 57654397], [12464730, 13039908], [18216432, 99135837], [57454516, 94073243], [26852125, 11946578], [51665819, 198703], [33213169, 18828008], [78555081, 85317831], [72771341, 41808174], [41736577, 40765621], [30088436, 2906058], [91331143, 73054302], [79656394, 91910883], [76253697, 4647530], [93129050, 34131032], [28693913, 30408226], [75112585, 87933821], [56423926, 55936993], [7722148, 76200831], [29820967, 40998392], [43761771, 64456481], [41821966, 4970696], [91511793, 48169955], [27544836, 50842482], [67563769, 22399509], [2410466, 4700723], [97427782, 92163230], [4206024, 90127800], [3943016, 16996615], [66677448, 29347789], [25846243, 75054204], [61085783, 5214869], [42799506, 78301698], [87338369, 26369515], [93844575, 19400655], [55412214, 30099494], [29320274, 84711793], [89854264, 66894703], [29095984, 46318989], [10467218, 59671984], [37104732, 68723054], [57388155, 34785969], [86975538, 42522490], [8504817, 65114353], [83716253, 80633444], [47854300, 87619502], [3980972, 83803411], [39817254, 8382000], [11837818, 88615877], [29574226, 89209148], [87957218, 43942282], [17435360, 64688270], [95721396, 65054149], [34214191, 27805776], [65910048, 37374367], [1757345, 77341046], [44070571, 10832229], [59866843, 89038795], [46278332, 90729968], [20124464, 64898952], [67210177, 78429310], [666949, 48193740], [68933549, 83438881], [16369456, 82817844], [55443361, 47726697], [90151934, 88692201], [30047444, 86176106], [36071702, 62485956], [40107671, 74119652], [63853213, 56363989], [15743444, 86951630], [5024360, 59309781], [92821683, 70317293], [99248183, 30384556], [35238616, 39547912], [1097175, 7265747], [9182244, 41547147], [90245671, 54435997], [66519148, 54344016], [5476356, 36851950], [47749522, 42861494], [8338178, 14257637], [59342843, 76632616], [27915226, 17096532], [71815913, 65804436], [23879847, 51314472], [18734058, 36305125], [29419287, 31908932], [3982087, 48094004], [79231699, 26794744], [26084686, 33714737], [54050331, 85287659], [93273041, 65288953], [20474563, 8211588], [68178721, 3033524], [43232331, 29277310], [40157663, 18397085], [34034225, 68858673], [37856266, 81906670], [21990225, 46063529], [89150084, 2767263], [47498126, 94429876], [31145170, 20636519], [74598982, 30963887], [21257236, 24955398], [23652199, 75490344], [37850040, 31143201], [29086837, 42609671], [5216529, 15408103], [11417090, 98249895], [98640809, 44208938], [71022117, 46878780], [3866952, 41319797], [97317820, 26653982], [97421419, 97353817], [4211517, 9473756], [73591871, 61249139], [17801472, 79894285], [10227611, 504851], [86105888, 41067884], [16328508, 8723692], [44077766, 70841093], [26546493, 21059285], [77106299, 47763565], [45850971, 97354486], [89958937, 40960430], [50744235, 9742914], [10055462, 98415162], [53026144, 85642178], [25407397, 3614114], [745189, 5618154], [26287171, 15774000], [25407922, 92918794], [89367692, 12110733], [93392812, 83514662], [44473008, 63210141], [72185704, 18526524], [43101672, 19567794], [273633, 84744105], [21800166, 8823130], [10940466, 15476109], [19246813, 25369446], [92422565, 78164658], [23676842, 9856740], [58875728, 76935882], [46668487, 59025674], [92895595, 72473759], [53063783, 62408301], [40198340, 89173141], [44016667, 25678918], [33770050, 75194313], [27371009, 1416925], [29433005, 67803693], [11727175, 44511166], [40084470, 35838853], [7031513, 99162228], [93261605, 28117768], [99613527, 99450278], [28881382, 91403118], [55657191, 19049654], [53509519, 40826555], [27163691, 88081699], [28127558, 15334224], [17873319, 62866058], [25693074, 91276297], [36527138, 92590336], [50711678, 19414483], [58599740, 42503444], [16817901, 17783367], [6792448, 36606779], [26653625, 24677383], [16141875, 48244435], [14882076, 80154957], [27999919, 77306454], [19261439, 16799704], [56716411, 35043068], [15377736, 68561047], [23887664, 36994556], [58762477, 63767198], [54757376, 99980761], [39364735, 8221941], [12762942, 15339825], [33681313, 37191128], [12182673, 95148966], [17984817, 6560286], [89086981, 654520], [88662257, 6571806], [21592823, 53312101], [40459374, 92999680], [35774516, 43902262], [66344151, 11772184], [69130696, 68521896], [71990758, 62078298], [35070611, 67369189], [75450329, 57500233], [77380484, 48769283], [64030214, 52636399], [2162228, 4440349], [88510719, 33903652], [14878827, 21433794], [61419668, 91439304], [91943965, 37406768], [84971027, 27650279], [69528503, 62789623], [72563668, 49526391], [45766789, 73146102], [26688289, 53279250], [92909989, 73130337], [2831995, 80980031], [28959601, 74065896], [1628302, 89548702], [884151, 77868326], [6048534, 16582645], [55739606, 91488969], [13112613, 38271782], [13815763, 21588357], [13310145, 88010531], [22408183, 77613763], [53621835, 33726463], [83708924, 8010701], [70745602, 7407089], [27998737, 55068653], [7277530, 3580100], [82051044, 40931125], [44618905, 92877680], [58926613, 3088926], [19729848, 53424629], [41217708, 16211664], [96564128, 22451220], [74123765, 64613123], [88396543, 30589833], [36313387, 41811755], [97463017, 42534194], [37724595, 77266269], [88669305, 46127924], [15324689, 17365544], [30948442, 1434660], [86863521, 20001915], [86975170, 89531935], [14935654, 82482775], [33976965, 44970034], [40215416, 30282674], [98361811, 3092382], [82468217, 38916964], [13382818, 23424829], [68228009, 24027786], [72256928, 11876569], [18610184, 63720985], [88769676, 6119674], [5013538, 95693015], [12908544, 36672782], [76132249, 66425619], [91242439, 84334862], [15771194, 48840861], [30688004, 40225871], [48459009, 77057072], [58751927, 29176480], [56538063, 64310559], [15128784, 20851173], [20203355, 57762704], [13922043, 68447813], [80778946, 54498967], [22437918, 67898548], [88990947, 95546918], [4715122, 26733336], [27803111, 4818550], [21093303, 22118904], [90794829, 36267388], [65928102, 44789941], [55150983, 58109520], [74541255, 16300291], [85126800, 93509597], [21969350, 33076805], [44021641, 13980472], [15003188, 15811624], [28608281, 33531693], [6411510, 95842187], [99562663, 55595568], [76325694, 75390809], [61026865, 14633481], [97607097, 375945], [27485918, 39769219], [14906909, 98492551], [92964229, 10775521], [60652632, 3043180], [48155955, 72838636], [87043596, 10097509], [20754184, 6684749], [34536173, 11793894], [11007466, 53809649], [13155577, 47804256], [83175030, 8581142], [90620439, 524218], [87035694, 35880845], [50776514, 24369944], [11353545, 72422153], [34140016, 50555603], [30294505, 74650779], [84068818, 19122466], [65294955, 40855995], [26062445, 39145457], [14376940, 52773184], [76492016, 30920183], [21859701, 45283937], [83502153, 70612917], [2246721, 21760780], [48846585, 87709620], [32309658, 19241733], [73620184, 23983554], [40171957, 10397289], [35634169, 33421840], [45249024, 92365654], [88931373, 22103661], [76082209, 58082322], [10172984, 27456290], [69921426, 2786813], [29179986, 14898788], [9087225, 75986598], [56114365, 35230615], [95628626, 45293176], [6145001, 96680790], [51604976, 29961040], [48390423, 61831655], [27353792, 92169688], [41348496, 43571113], [13696712, 29985151], [10853414, 63721620], [35750524, 25803723], [9940137, 9538472], [41100707, 74659863], [14399116, 97906608], [96645490, 71846116], [55444133, 46720918], [50841165, 46991150], [93380028, 30941769], [26390510, 20038272], [48384821, 72294863], [43897490, 61809983], [99620796, 38392312], [76215290, 90116852], [86193861, 52536142], [2746986, 69712276], [53681362, 91096682], [11293106, 43018041], [21228527, 22321613], [39665425, 77303788], [74033688, 38872256], [89977745, 28020716], [90814140, 57740572], [52698844, 49744937], [45052477, 54660974], [46952891, 27708140], [67077295, 45670855], [82561770, 29866022], [48714711, 33778171], [7055663, 68641691], [4734852, 30603644], [38855697, 15224744], [80141525, 32513938], [74323486, 88181753], [92963940, 98278550], [86311921, 73245010], [46404214, 59520077], [84158217, 41754657], [38502678, 84903404], [13801095, 42600532], [95285472, 11382055], [95475915, 79993078], [80395855, 45644474], [86356803, 19697060], [77568691, 8352850], [31413300, 42989021], [72359936, 5729614], [4539808, 85179797], [5579967, 69248191], [73485070, 37289744], [5782875, 89860366], [73120198, 64931844], [60420635, 68372491], [79106770, 48702053], [74209884, 36089139], [81668321, 69477849], [39155578, 4566516], [19012812, 36065108], [90382468, 74895532], [51089067, 6002268], [53054834, 19888628], [83454674, 13365876], [85197804, 28842472], [52698152, 54916550], [50536372, 89350274], [22319126, 3017673], [69550795, 29023092], [57592233, 47136007], [99516450, 63812350], [73842580, 26201153], [46340379, 6299058], [46254977, 98340370], [71092738, 95465761], [79741017, 78650986], [19153358, 85448706], [1252110, 86267247], [32303942, 10285740], [41571621, 96295007], [87777523, 14181437], [18171418, 98403535], [26822418, 31847701], [87846522, 87222580], [71896737, 75988582], [4590800, 20801440], [81234689, 72919846], [79499373, 60160536], [79150016, 75040699], [11260116, 38331630], [61924045, 89233447], [61925439, 69801573], [46164179, 43783918], [16575126, 54830984], [73923043, 81977605], [71567356, 85853649], [28625388, 12610326], [65585838, 58356823], [35115179, 20071066], [4850689, 38442127], [78359208, 13764927], [9071171, 52330274], [10666440, 91910850], [11437969, 47233046], [58321618, 97198752], [35349676, 79628067], [87893984, 34277663], [12181508, 82549431], [31094087, 11767346], [31958283, 80334555], [91833528, 41861077], [79810635, 35620165], [40313233, 57374040], [49821636, 71385229], [56978788, 37395061], [33378484, 63075327], [36701879, 38229212], [95205181, 74121566], [21770243, 21945140], [27254096, 81699292], [37234975, 38169597], [32851557, 33701968], [35338258, 22389232], [28394145, 66880584], [59696148, 85985970], [97566575, 45083335], [52631543, 84710981], [74446633, 82941387], [24724090, 75351329], [86155926, 23267344], [10131002, 50124340], [43960334, 38182557], [38100638, 11492078], [2750196, 64378374], [54152013, 28183130], [58933670, 6375592], [73796545, 46849325], [47934941, 3945593], [12618382, 74195016], [83238176, 55805172], [61760814, 62863232], [87461939, 68174828], [33742062, 37711234], [41352941, 27209792], [21376955, 2021486], [50374761, 40529055], [24485561, 65137355], [15829658, 6945734], [11388127, 68115332], [4986803, 27534120], [89623488, 54774422], [4995512, 15245942], [74601495, 5940178], [97590696, 38451056], [18874245, 85931369], [39958078, 83095371], [32223192, 25507651], [2508139, 68448024], [3401603, 46505786], [59247896, 26857869], [13970869, 18357949], [48639417, 51972727], [36154201, 82523054], [47320117, 62929213], [21044444, 92417676], [29006448, 1206674], [20880919, 71014965], [39303446, 67053727], [45316276, 22207389], [54883587, 5692539], [75873064, 94615490], [80804189, 1623541], [11075235, 57184730], [76831791, 8534766], [81285654, 50962291], [33585226, 96129242], [10544210, 2444752], [430228, 77397001], [20513234, 18482246], [28471312, 73208189], [96776998, 18002832], [7220817, 71681456], [80627356, 9799349], [17300168, 61685199], [1618342, 16863992], [31304050, 10668588], [11118699, 20061116], [59220608, 2530029], [64042765, 98779336], [51085949, 66935593], [47727674, 53446013], [16125815, 76774313], [5215958, 62492989], [74403202, 55931370], [74914648, 99747646], [1239867, 88504971], [11315627, 45207135], [15430937, 15080892], [81471352, 7308702], [3902826, 43311475], [57278705, 17445041], [67853441, 4872257], [17055418, 33148806], [20302262, 88920359], [70883118, 22038141], [70465653, 38148425], [71690020, 20498541], [26243962, 45693388], [21991300, 77177521], [82756774, 29738303], [89336421, 36691491], [97434525, 96894697], [22001317, 89380607], [82053432, 44597779], [75425721, 13894947], [1064378, 32519332], [10292131, 7082511], [5701966, 34077313], [84770388, 88136567], [35483480, 17130114], [79215042, 67766742], [50524297, 475365], [39278402, 48905828], [25723122, 19967381], [53900061, 9738930], [61516942, 87100258], [42910250, 39968005], [81195967, 84515023], [66163451, 24715934], [39413800, 6173690], [71803773, 4204315], [66999549, 12032151], [89846495, 77419219], [48981903, 16396915], [91482842, 34120941], [80488374, 52899758], [71396166, 565306], [59048139, 27477115], [63983423, 25287924], [74949096, 69314675], [71649266, 59740682], [43653034, 45569210], [13517966, 59325625], [24345162, 6310292], [61580591, 23255732], [66993537, 29404379], [63392201, 82375025], [99303209, 40175042], [40187401, 23790346], [26602532, 41206960], [19363381, 73433896], [95341962, 90054401], [63370717, 55183872], [37758591, 92045111], [20523531, 96065823], [8960061, 56117240], [58457769, 54292728], [67256140, 93358242], [59905377, 6623237], [18314212, 46923036], [94209608, 39403825], [86676083, 12488816], [47485544, 96324607], [99907769, 15810923], [23262776, 8561951], [67570888, 55823197], [22108894, 88840051], [27272965, 47829010], [25847800, 66445764], [91056392, 97741543], [42380256, 41027104], [22306717, 2739908], [17946198, 30820703], [35587459, 40427235], [49748707, 70522047], [28989656, 21880089], [27149562, 88713779], [85268080, 40611289], [25562860, 8609386], [98509612, 86873035], [85952102, 38796318], [15234132, 68869940], [10376825, 78915059], [24899595, 18143114], [19296379, 28593963], [42671281, 31178591], [64579064, 60795683], [63845046, 39888317], [11734615, 36204309], [7103905, 58800979], [36996690, 55808502], [16414275, 89105612], [93565372, 94159106], [3939460, 9779798], [22812882, 24923082], [89548818, 95992162], [18459271, 22332229], [55332043, 66617130], [31841708, 32490628], [38792468, 75438313], [72107130, 66899851], [90323647, 4544910], [17084529, 97516880], [33733857, 22709100], [19081341, 58821795], [98483342, 51566096], [11405674, 10025489], [46985970, 60468115], [24420718, 91732751], [73333201, 82225847], [24075087, 55216581], [1432001, 78873703], [79560299, 38568970], [41657239, 75518004], [68768497, 34300875], [62782044, 33829596], [38015017, 50549033], [21970579, 68743511], [39116433, 29418363], [22094497, 83869534], [31008132, 95119585], [91222328, 3480661], [24317325, 59026349], [97155462, 13600972], [15503859, 32184056], [98430982, 31739265], [33670095, 23070787], [78437146, 94982091], [41018944, 27171646], [52901831, 12105791], [29914072, 45999492], [16136544, 16142031], [13450785, 15742951], [67040385, 60271551], [50669367, 3252827], [69533672, 63087334], [83626990, 54794357], [77565936, 33851693], [39975919, 38951544], [20105499, 38577799], [9530178, 47606147], [21085249, 32815525], [23965044, 89624248], [84473814, 43860168], [76013127, 60481050], [66776812, 94851149], [33403758, 64284360], [41313952, 21371641], [76387173, 87889704], [47106311, 36093562], [3293841, 76017922], [31616212, 14786596], [78938271, 44432280], [67109005, 9391665], [89516967, 89282597], [75156289, 87428712], [96737223, 87512845], [99912399, 50753351], [68005141, 70766076], [27150896, 86040368], [70086961, 9068224], [81331868, 53266597], [78094655, 74558960], [87329171, 82166519], [56309652, 29619745], [91320003, 10287513], [52893006, 59562664], [89148048, 91402228], [48647377, 28238457], [27475855, 96206375], [33787057, 56313358], [44530630, 2087011], [71159462, 79937126], [6987879, 9903464], [35900333, 25817270], [43295031, 61201710], [44110303, 64400466], [1538383, 11532952], [43325626, 22413074], [65487872, 26778383], [93266772, 7006975], [79729330, 1419042], [62078017, 12138315], [20213769, 89545345], [51201491, 56496158], [55901830, 77143691], [701202, 95698937], [31767206, 5403724], [86976229, 43438902], [47442090, 55534522], [61220703, 84153790], [63393767, 60310132], [37523873, 57118748], [3343464, 31198855], [73341709, 86723463], [92800763, 87958699], [40650463, 12884397], [30113215, 49611589], [81476357, 68708636], [27432225, 63757392], [79162138, 23261853], [23965730, 87202500], [32738713, 91452823], [9442359, 33157439], [60824805, 5161884], [77156849, 16743314], [13748440, 95884001], [71505697, 8417199], [17047477, 43428501], [56037880, 4146687], [17074607, 29842862], [55016572, 98333355], [89094229, 23895438], [40849615, 21023320], [27384800, 69057853], [34942116, 31953842], [43635228, 61662086], [58978044, 19214874], [59637709, 63946292], [46925439, 87867372], [41672756, 8454099], [69891553, 68176231], [40784791, 85675793], [72387172, 93211778], [65201294, 10176238], [4777681, 64713389], [30779947, 18876358], [50095296, 61450098], [51300092, 39016367], [34613676, 8576403], [66414160, 24386477], [84329544, 73230935], [11909523, 29899250], [47262306, 45277922], [48007580, 93313546], [56653904, 5667779], [45044012, 38242747], [28663991, 72678913], [4298276, 96770145], [6406529, 50117604], [57960386, 26037870], [78343011, 20330328], [18603648, 8769799], [98591195, 40147291], [79857797, 79614305], [48646654, 99564586], [60577779, 6581272], [13578716, 22870185], [2004252, 2230709], [42139273, 36503696], [89613392, 11139863], [1861113, 52151157], [2764189, 44627964], [18241070, 1026441], [16726631, 38097429], [22611051, 64270272], [84969432, 85829114], [16867849, 10933307], [11906831, 82613726], [34676779, 67939472], [64063327, 59487190], [19645626, 88722299], [50839815, 53241427], [97152241, 27540360], [95903942, 55497421], [21443119, 7374689], [29375005, 51977444], [7896595, 79749671], [72610539, 68251617], [54220980, 32725507], [12314496, 20243224], [15229544, 16392273], [39641265, 24720944], [10471909, 15683818], [67529029, 19299484], [93670600, 41292502], [53347497, 17762288], [2712785, 49922620], [87600814, 22852876], [86625982, 73630538], [83679936, 46177962], [14761786, 87565675], [76297777, 15778394], [56369356, 31207691], [77151355, 94701245], [66824020, 68198988], [62722052, 22800387], [74648129, 43738369], [13675510, 95204415], [90516458, 46731096], [22013800, 20810338], [44963100, 28314166], [66966474, 29800532], [96802343, 24717285], [91798067, 39824950], [96208491, 53800788], [17595781, 79403387], [49086237, 23955030], [91115322, 3679540], [90464337, 78900852], [30532946, 24653395], [13135872, 94250187], [25491200, 75972012], [81847667, 14587107], [98813142, 86961799], [36171151, 18128644], [44954338, 1795770], [49781058, 32912870], [15730632, 65395658], [85492543, 30978701], [95633769, 42758310], [82611106, 67710566], [16612118, 55828248], [15211974, 14663300], [18492390, 69707318], [43977908, 96558003], [60420740, 87853335], [27072574, 97888907], [11444391, 42177257], [47090112, 11733585], [24803115, 48274403], [5692933, 45662439], [45859856, 10377197], [29640260, 90108664], [31905538, 20666180], [9168773, 89836688], [75009198, 76262652], [44062177, 68971597], [98917907, 89201384], [80438296, 62659417], [53516636, 13623274], [21785501, 83181709], [57973994, 12826713], [10592747, 38906544], [78024553, 80824440], [88903550, 17837696], [1835542, 51684682], [59554425, 68791420], [97684986, 29139506], [62421818, 60741795], [75565930, 94578226], [31670401, 63247958], [26155187, 42595169], [39479490, 5614121], [5414565, 51956818], [30336672, 44909863], [47024313, 59364968], [61850545, 55985349], [84449183, 44125706], [95940085, 53758590], [86518533, 80809193], [7250666, 81186336], [19494728, 99539837], [6708026, 80609917], [4926977, 52272918], [38483098, 83358512], [79725266, 6184985], [97381584, 66742041], [60564157, 39820681], [31894743, 10365723], [76019265, 79911918], [38121864, 25726331], [34227574, 24670203], [51725091, 75750127], [90862291, 43638569], [71676577, 14056896], [37912264, 7242413], [24531686, 27899641], [84804369, 41968536], [67552766, 55122016], [36300118, 79930063], [85834269, 36725178], [59097359, 47544499], [61205602, 25916907], [59087559, 15154149], [29800275, 26576493], [99530003, 33264244], [26344347, 22423679], [4228076, 24678965], [76647114, 13332686], [86156922, 46454966], [51704372, 22885872], [72539134, 50452380], [99553552, 47598872], [61312470, 6325213], [39310392, 55709602], [46434078, 9170507], [41032200, 70811693], [39596332, 84504159], [75326073, 20529420], [11776372, 80685959], [80359120, 22847642], [26391729, 72367715], [46365505, 14040095], [58683974, 33951512], [65402999, 91518573], [19779517, 19756490], [79533365, 30433037], [52999344, 21022093], [63207296, 60694580], [40751578, 14908867], [69046150, 53099435], [86360156, 86766817], [19792819, 37401595], [65570860, 78687983], [13992548, 29105505], [70992414, 51594488], [1022052, 63602122], [30520698, 3621528], [41685121, 16358347], [9645721, 94920072], [63178279, 35193402], [80057946, 8769739], [12231159, 41082736], [65425177, 59903833], [180530, 73922629], [19490509, 86523500], [38045996, 11443355], [76883341, 8047885], [92168593, 68231574], [58404872, 65068520], [49735599, 61557186], [46892932, 7440267], [15299307, 7782949], [84346337, 11125589], [35128542, 21522491], [70977283, 4689982], [43635461, 84429583], [65757345, 57294686], [16286561, 18877189], [63469554, 83342084], [62084987, 55866038], [51046907, 15353885], [98634340, 47234042], [74859890, 28138227], [84282839, 26654628], [95232214, 98343069], [78265767, 46276471], [97458955, 70212437], [16606103, 32817522], [66738607, 97594326], [71253250, 52079410], [97863645, 56006171], [84415762, 97643789], [45294941, 94273349], [13014391, 86323870], [93150188, 40386413], [66607758, 64302641], [46683376, 84529711], [46076621, 1864873], [58284900, 21507335], [30732555, 22462973], [82295386, 54416718], [72127235, 52858601], [42984936, 3355900], [159057, 9278051], [63619368, 33253284], [38388807, 70490820], [59090310, 32441107], [79574438, 42904222], [22635163, 36493573], [75662410, 48069635], [52755867, 60738184], [9335588, 26396698], [62707061, 60403839], [51342974, 43255061], [35645689, 44274832], [88654090, 84737766], [94360232, 35956792], [20423334, 44844595], [43242261, 47972438], [59442555, 6786549], [38833063, 51355163], [2926795, 89088950], [57036438, 2606168], [63872412, 27395390], [94187670, 69101127], [93351169, 9040310], [61233618, 62273862], [57996301, 19169792], [85077347, 2058406], [99516538, 87144806], [79280558, 54286331], [51861147, 96190013], [43309150, 99763808], [40913841, 73119010], [34627627, 3857115], [3236099, 11911299], [39901960, 94710370], [30761091, 93554393], [19685237, 50126511], [26744815, 92878114], [32133654, 13206702], [4993259, 60908299], [16324201, 74253382], [73676073, 51203349], [51222830, 3005501], [8977871, 47049803], [24576280, 16149409], [22361357, 77386777], [78069264, 20999992], [16036167, 28121825], [14393179, 23363045], [63419664, 74714385], [10012141, 36833590], [93140849, 12637652], [53380080, 96549432], [43221434, 53314599], [81048439, 68415404], [35392705, 87586355], [27301292, 66540185], [36948252, 30803386], [99971348, 6572439], [58456580, 37657516], [80824946, 87972653], [27867858, 65771548], [75904889, 57829733], [87409461, 42851288], [63308151, 28215528], [43396759, 49086016], [61672058, 99654500], [97536581, 1139912], [27109473, 35205727], [34976917, 50887973], [20712427, 73446668], [56452221, 23145595], [24039981, 77299553], [55411097, 13784327], [80948322, 85245523], [7820615, 75825968], [14711806, 39814471], [22592133, 66626318], [53930560, 95011110], [20942777, 11964439], [17839554, 54798439], [17748065, 4581517], [64691653, 95799454], [81840048, 96387277], [35361315, 32082067], [25419347, 39373242], [54181627, 58405856], [12027507, 71338052], [33128927, 13272586], [68180499, 26539741], [58644616, 94728540], [94433305, 59239936], [88754622, 89334462], [89919650, 82758918], [1588317, 78408941], [98884841, 7977333], [38424210, 12426582], [36265683, 53652576], [62428814, 2543900], [12997620, 74182410], [1991744, 35029894], [98491772, 17149220], [48237511, 89817320], [80646718, 36956293], [34660115, 31337859], [62466649, 75470991], [37645299, 38336909], [16306803, 98066753], [21348119, 65709250], [4983345, 14494846], [88546314, 67833219], [45202667, 73875516], [63296280, 95109910], [60626377, 710643], [50283626, 93916486], [55453216, 27533722], [21634348, 12754462], [58680547, 33891333], [17706249, 51084114], [80474575, 38599844], [71063995, 20444662], [34420028, 99725892], [28516078, 21557297], [40753432, 18941532], [71062948, 65822424], [42663134, 32802771], [69325536, 25723282], [80051222, 61144146], [59413870, 29279778], [67146065, 25243122], [36457247, 87261881], [12425137, 19198043], [74691459, 82503205], [43300455, 19560867], [65432997, 94563785], [15503436, 7824381], [85667989, 57873617], [59669507, 18876594], [76948703, 52832968], [77758476, 30762677], [13028345, 33089449], [36098836, 46303503], [98274097, 971213], [97936556, 13041339], [40450032, 51349724], [88184463, 56162703], [45039439, 70056641], [61380672, 61097327], [73612237, 62008404], [57257289, 25755928], [9097023, 78874447], [96369423, 54223769], [76164273, 10856628], [40910456, 88848402], [82000036, 41158189], [4659502, 9135854], [14081946, 91697470], [45380867, 22674153], [17775356, 92997212], [72430321, 90998605], [72503851, 5215309], [82858079, 61799032], [91137219, 94704549], [36235368, 57732071], [11176748, 397610], [75299268, 98925968], [53848466, 74218391], [98347537, 35795129], [65469362, 52533641], [63848185, 14817944], [4213835, 65592490], [61098456, 47557012], [4042982, 426845], [79104506, 99648985], [93153759, 6308996], [48382441, 13314986], [54837457, 30132609], [93136235, 83881548], [59969636, 89339530], [50394104, 39205193], [14097587, 96171691], [64959081, 74418924], [4177554, 2758075], [28804215, 28923861], [86115286, 66919333], [89786442, 9030458], [37162473, 35867466], [25899476, 78049580], [95879119, 81257760], [35810732, 23358995], [83706031, 78627853], [35918556, 69487037], [44966980, 24913803], [41714440, 82430403], [16842714, 88039053], [92596410, 57334405], [68022070, 59978051], [82278370, 85543067], [84816682, 82460997], [39081064, 87101860], [71338877, 10552186], [97063447, 86808050], [83380315, 67496920], [62223947, 89605040], [90926414, 77784247], [83699031, 73094062], [96244074, 71167465], [55329887, 37459363], [73038918, 32747910], [39603596, 19792866], [34170171, 38824567], [13719050, 41308374], [90462459, 2268594], [68182920, 4088083], [69197591, 5483982], [71304521, 98826118], [9519687, 89441053], [97098875, 59239609], [50576152, 88360667], [70271951, 78498986], [20352804, 50143500], [54948729, 82138555], [82534304, 51840748], [28711536, 91373217], [73878350, 71247118], [47338314, 6707007], [30563190, 17932172], [27657822, 72569085], [73530581, 65757159], [12866291, 97298117], [72965691, 12459489], [14663419, 5654662], [58691337, 54712901], [29749711, 86355498], [42610984, 27311525], [74476685, 78747347], [84727913, 94967737], [24034727, 24762267], [85130825, 15379414], [77698229, 98007562], [31587669, 16831302], [30883944, 77745826], [59568150, 67179317], [50118551, 43632168], [4823793, 25119816], [20099238, 96426224], [70609981, 72719843], [22346318, 44866995], [2289808, 22683561], [27524339, 84397598], [42665788, 17924826], [55964242, 18826699], [49685869, 2768947], [42837639, 44302925], [22478940, 49370423], [63884958, 29837471], [27849888, 8994098], [10222048, 47041745], [33861782, 25353344], [18152166, 81158710], [13996699, 62759087], [22723156, 62615022], [58363915, 65973515], [24952457, 95165043], [73156025, 27951557], [85415141, 54104489], [39981117, 96201820], [27110335, 45885672], [3674036, 57399662], [62680932, 21727663], [18383678, 61229983], [79444138, 63414870], [48191859, 99899511], [70471795, 49452205], [26403474, 59374881], [42140619, 7152961], [3842249, 5756918], [36626837, 34685556], [28364110, 10472037], [48202026, 65950766], [75550204, 2390868], [65329421, 20516853], [2836718, 98319302], [61906797, 79309784], [95448385, 62816659], [18807781, 43892986], [91927564, 64043673], [34049554, 73636147], [78055710, 57951270], [73374732, 70515017], [22925463, 65962851], [16035869, 80053349], [23911377, 45617690], [31167604, 84834076], [55936830, 68416491], [38344653, 94497400], [73414139, 87528605], [82792127, 99782811], [69189038, 3326635], [27316168, 14993895], [6418646, 95874534], [27469318, 22136411], [88599023, 3428678], [73885269, 96100205], [69934858, 52108696], [79567566, 7360355], [60919437, 82911240], [65182621, 98077419], [47880273, 10165920], [41706162, 57482304], [43694700, 74417073], [50916366, 11531534], [51018419, 12826277], [79782787, 93767070], [66333151, 42353332], [85624081, 95352420], [18787507, 50418261], [13795618, 42244784], [65618890, 12182559], [93826401, 70169201], [26564657, 94409703], [71241678, 29112805], [4938032, 88668209], [80943641, 6805415], [17378339, 42361150], [20662757, 67713742], [4657434, 94316719], [45023005, 92067306], [90446214, 810324], [40306260, 91261216], [41852753, 79811916], [48748196, 35655058], [64489253, 67038634], [41338242, 17205891], [78153468, 66556135], [94008850, 8079826], [40448751, 50337001], [9666082, 7492743], [78117097, 13508451], [17262893, 3022321], [37143359, 53716032], [15997237, 49859545], [61451038, 76281178], [48089861, 23357245], [91534564, 74985535], [40025898, 66382742], [9686391, 97803931], [30851141, 880843], [42390864, 62410604], [20200021, 36273884], [10766522, 29243852], [43835547, 80472320], [72611924, 62860479], [95083636, 67205441], [32431866, 36097411], [26606300, 50767709], [65057172, 44980223], [74673154, 54980785], [78316764, 98626753], [56518364, 67962425], [99776324, 24587643], [55787765, 75742166], [39334716, 5599528], [42303486, 17113690], [8563570, 90014514], [31572455, 82337793], [81855906, 55879135], [52561171, 7759933], [87603219, 19539952], [43868114, 31923612], [64218117, 12799442], [49012862, 77492257], [50853134, 62177209], [65481825, 50543212], [45206020, 72461013], [72308191, 80321297], [5963086, 10059541], [85084315, 57635088], [61590551, 10728046], [84542616, 35041562], [27238340, 56146138], [12013574, 70401482], [3733036, 26562705], [60587492, 92404319], [28342267, 87183805], [14371337, 46767774], [96324308, 61953637], [21762572, 2890092], [63036114, 33353438], [74108296, 52840138], [15425333, 14483865], [92349061, 51811974], [13141226, 84325295], [96245617, 49881016], [68773053, 22598641], [54405001, 4073778], [36381770, 88268630], [22687107, 34592624], [95012367, 66750038], [54810425, 1871720], [74604364, 47950367], [12630689, 45142928], [10162305, 3958156], [24245416, 36835770], [32205541, 52472530], [58104412, 14744326], [91882234, 22836076], [82986239, 33818032], [66627559, 55053735], [99514938, 15571786], [66710856, 30251551], [70442702, 54714840], [97146733, 50066797], [96735220, 34873656], [98180713, 7469423], [96896217, 31303915], [1233264, 37414250], [57228314, 50174565], [89845132, 62661211], [79730170, 249487], [69010156, 48648369], [9629235, 88633032], [89577849, 78497928], [28488614, 21470325], [52748457, 40486906], [73029333, 37158937], [19500947, 67461087], [51215855, 58845440], [65327220, 79267502], [98185597, 18038928], [64057732, 56855733], [70676919, 37215379], [8243994, 67657584], [88940646, 42925050], [23342856, 27008278], [53239457, 43376501], [50945785, 37537702], [2550402, 89514251], [3602780, 38018264], [85385034, 34494353], [62380906, 97458307], [65398366, 80322817], [51458329, 2314117], [78249878, 27336282], [19082800, 93221175], [11979210, 23385962], [1421922, 44847764], [71943541, 93137336], [24589960, 74654508], [76603518, 18388157], [53731728, 35289057], [80809215, 96482699], [95497835, 27269007], [38779165, 97255843], [83923806, 71766614], [69155772, 95173967], [40111114, 88302155], [29353133, 52983282], [12146311, 6805495], [4253500, 51948121], [89004971, 7454772], [41237852, 50797601], [51992202, 56229346], [79909860, 40927468], [75782321, 46309012], [57883983, 62302517], [70390323, 41945673], [934578, 1682185], [26225936, 23361860], [26469252, 78533225], [93444731, 5456866], [57382098, 40284266], [65019868, 29899791], [99184591, 94733114], [52552236, 56413450], [21332792, 33377433], [94320000, 46332371], [62361000, 47746091], [8611316, 22157904], [51603044, 84046105], [47839757, 63096149], [54856101, 18439111], [28819374, 58165358], [5258841, 26599385], [8627785, 604704], [64482488, 30796245], [94845840, 69911075], [24634012, 62243939], [57552482, 73761418], [26206799, 52468282], [96138264, 37843235], [16012201, 65891833], [27746959, 29027578], [61819094, 19534967], [83164879, 39347021], [24055027, 28350929], [51571312, 45285270], [14922679, 82467499], [7819265, 27240377], [48071993, 68951274], [80099574, 19507334], [65592845, 26628335], [64541404, 12832595], [89416723, 5145273], [33389436, 58329177], [14517863, 18857829], [92400846, 38578708], [91747314, 28469235], [81128553, 3486056], [44069086, 85296606], [64929616, 75160297], [93355056, 77912174], [62364446, 83568478], [29275529, 36293047], [57272972, 5113153], [88402637, 73171257], [46387684, 10592720], [27717313, 40621102], [89655326, 5017876], [4593219, 25369357], [93977846, 89738433], [1223498, 34296259], [23594215, 25733130], [15713211, 91667934], [15153095, 30026436], [24121672, 99059335], [91132368, 62224976], [92224280, 97677024], [18593312, 43844934], [26203666, 40371269], [61706906, 74437639], [96383023, 28322311], [36021317, 27184070], [55769593, 28506558], [46296236, 96645620], [5395511, 71913771], [30341191, 30516944], [97004762, 99379412], [15351158, 24082706], [25064085, 28934751], [40082093, 57772144], [47059979, 8413803], [31723528, 91835039], [58420444, 16236394], [71537163, 99811414], [70480170, 5930337], [41199082, 28285545], [54985848, 62534901], [48392153, 64947167], [64009743, 77225129], [14244313, 17112281], [35714984, 92441104], [44444793, 46130520], [26513243, 62490544], [83589441, 41423851], [58663657, 10783448], [64147283, 87609354], [91028499, 81599116], [20693693, 5906471], [34255075, 58485719], [93348281, 21211000], [74358522, 86495856], [86694129, 11158712], [36040577, 53963258], [68043687, 33247843], [21584366, 84286285], [90650960, 15701051], [4763903, 98883485], [33589008, 64234447], [85494170, 89928008], [10567302, 52389186], [87096058, 23802102], [2370515, 88913214], [48766726, 31213199], [34369689, 65241237], [18652768, 41740060], [61762864, 46630541], [27919807, 53330677], [28257248, 7000919], [27951028, 63602992], [39847540, 97020276], [54255833, 49384805], [12233197, 63697457], [4336178, 87834142], [89154779, 34710570], [45738499, 80524743], [15056575, 22470783], [76404706, 36490285], [33260198, 7440678], [42641024, 66542387], [12561064, 83953654], [32761949, 56863776], [32591483, 26158373], [20610368, 61494092], [53292692, 42672557], [22274297, 13845842], [14017063, 35008141], [54480019, 10418176], [64937704, 86722651], [29509661, 21755683], [45590659, 75200843], [35713801, 25136310], [56597135, 69817604], [40241696, 1996049], [73584846, 48487154], [22583563, 42355292], [86950312, 88308498], [23728374, 23257514], [79519663, 85045500], [60807184, 94941781], [5183792, 15587681], [28262390, 89496660], [71851529, 95949495], [44428061, 13485089], [46497545, 14752860], [97068069, 46856286], [18823851, 50804233], [3612137, 72009171], [37679874, 98131620], [75345485, 99047899], [8742072, 46758570], [89295498, 99012293], [33483940, 22695208], [1135824, 74573497], [32815185, 92321805], [94042932, 19072926], [61849867, 8168026], [10909817, 18732807], [50134292, 83151199], [61020983, 8361027], [64085806, 19417544], [19026417, 46882539], [67207029, 7418865], [91245843, 17276098], [65812780, 5079940], [69379328, 42037659], [74053759, 12411523], [76412183, 47654561], [8630454, 3290124], [34243354, 74192804], [73598589, 5922182], [95099772, 3638018], [3374070, 94276487], [27025957, 52106147], [76075261, 71358584], [71602704, 81486394], [420046, 5960049], [75401785, 45120407], [21417261, 26583837], [19596039, 8370877], [85821264, 38021241], [65460990, 16761002], [46713324, 55638288], [38866123, 13912102], [63930918, 73667701], [83129506, 15069295], [52238334, 52439233], [17982874, 98604041], [7105496, 24516775], [59609225, 37223113], [57345339, 18408973], [56828219, 72299668], [13154704, 62821433], [17812420, 19700578], [57024108, 46658366], [52424881, 27592396], [42280234, 10413366], [89771017, 89977796], [95001032, 28954694], [58378907, 11314916], [78639664, 88084005], [96964457, 87088862], [91130729, 54005087], [26145016, 96755242], [40283280, 76328381], [94925143, 97709512], [53658726, 43181433], [45711978, 85321568], [74613434, 89356019], [23973752, 74990650], [2360699, 92467720], [97427535, 35816093], [27504254, 79349959], [8802827, 99769405], [69708332, 5826346], [7792376, 69294202], [23442210, 63842353], [4523777, 72257386], [5403642, 43561498], [2834769, 45570152], [46790434, 84279223], [42774320, 27763125], [72602659, 81974112], [28518767, 11443271], [11053489, 70175200], [24803573, 39215216], [43984378, 46346796], [47609888, 43743064], [66108571, 86248660], [46486650, 54183302], [19059160, 77307892], [86771466, 29697042], [96169689, 5288295], [81930153, 59038579], [73772431, 18643653], [15863484, 8656257], [91441323, 69323178], [28289177, 45362126], [55779848, 71691331], [24465451, 73170611], [9579986, 1722334], [99058466, 49918194], [9741660, 96087527], [4924182, 3926161], [60825051, 41910683], [55261554, 75608106], [54459817, 76081469], [2971859, 83606412], [34773184, 90870342], [52303758, 43920610], [90592986, 53718843], [13627722, 78947747], [36383245, 19202165], [38683639, 84243032], [86676817, 6409037], [50168491, 90618239], [91430951, 99326362], [65237893, 92326825], [12877384, 53330077], [91741536, 31475801], [13625311, 60288876], [45147183, 38479683], [9845565, 99636692], [83383275, 23749526], [61770520, 75213134], [24613170, 27746532], [26206015, 10360665], [20196678, 63421334], [60444707, 68501917], [81501487, 19602349], [40444984, 27325995], [62270978, 45574010], [80486066, 53264390], [6174365, 21163537], [62303957, 76742883], [35845496, 36409292], [452306, 22589435], [26706810, 26019111], [85137507, 93521764], [70952216, 13779794], [56570164, 77723979], [20391934, 33188364], [75976961, 1124492], [42470350, 85798147], [81170507, 72190814], [51722827, 10733485], [46042534, 26545135], [25358872, 95678142], [88839529, 23288909], [15151394, 86345544], [49624103, 43828389], [57498476, 85428341], [20751868, 80806128], [57763541, 90335369], [24558949, 31355510], [54329148, 52425742], [40601186, 85547755], [46837974, 68470241], [67282410, 99739498], [97003606, 56949670], [49269535, 38228624], [24344375, 57564492], [71111634, 99953862], [58588733, 25278238], [35960110, 35046448], [16069300, 38126084], [30360824, 95158750], [37810627, 77893288], [93700703, 91889473], [35877642, 85301857], [4436709, 94613066], [81155733, 79040456], [2606585, 82877581], [9631028, 22863641], [11063981, 12291256], [77250853, 23277093], [65698905, 66047261], [79138812, 42158122], [12289940, 39067229], [33888559, 19653819], [20756876, 80054597], [68335785, 29913822], [16625696, 62557232], [31844025, 23403472], [86137208, 97809466], [79462031, 56264834], [44842413, 25091884], [98590240, 99264930], [33563897, 80002806], [66258068, 34233537], [48646808, 42955825], [18689660, 4323373], [37465623, 18712224], [99778603, 84583744], [24401577, 23327477], [30930653, 50158329], [44645798, 95176248], [7715597, 37526834], [92475328, 66582250], [57805369, 89962906], [38576813, 38359035], [61094385, 37482332], [88928209, 55379551], [43924348, 10475327], [37872860, 29830800], [64600025, 53638700], [46926708, 12936121], [68449682, 67285317], [90095708, 19107481], [65174506, 19824444], [47740673, 20313992], [22505582, 87409236], [14430569, 70989594], [27496240, 63882440], [50412291, 76354594], [11429729, 78401718], [25066654, 19033587], [40899633, 84536965], [92363189, 85838301], [54008366, 25739666], [29348102, 92299103], [55025343, 67218870], [71941361, 86676810], [57263416, 99875241], [50858054, 78997887], [81420278, 23845712], [88004988, 78511648], [48981742, 8989607], [10788449, 12840848], [72432718, 2560894], [89252461, 28131342], [23142166, 12764722], [68541823, 3810927], [68613992, 75437950], [47099084, 1956187], [32105015, 31065430], [40346068, 60933919], [49060147, 83740339], [21774733, 93713686], [94620092, 85212444], [60607795, 67378129], [37100465, 88807685], [13344895, 11150074], [41744278, 11235554], [98498202, 18094118], [19580374, 16473576], [40039758, 58560942], [76717889, 21513581], [58139871, 89204245], [34771484, 91014603], [59296734, 55074152], [42588116, 11972417], [11339974, 864343], [34566242, 65440990], [49557380, 6114759], [70974258, 33516230], [75732374, 86902189], [25232458, 60499977], [28540511, 94633247], [65248187, 31618624], [4351503, 61810171], [93492594, 21512425], [4398483, 567036], [40581302, 26080472], [68416753, 71380109], [97680319, 24231715], [50392398, 77144421], [91891675, 2263378], [18737656, 48852212], [7451870, 31908568], [53829705, 28689086], [52132856, 8151350], [16747749, 83351073], [9996420, 7570637], [92529935, 45143933], [90712827, 6451161], [14666047, 47148749], [58122630, 12290037], [42057392, 87476324], [13904496, 19085172], [96583100, 40775035], [24185548, 5596692], [61365009, 364756], [1172241, 87883719], [33606960, 21935077], [38834403, 37349472], [86988585, 94078111], [38715213, 341505], [51284111, 62265195], [91657658, 87329823], [24234616, 64995580], [74847135, 36341413], [62011934, 68337141], [95282582, 7277299], [50252997, 49280840], [7643029, 65052355], [87478417, 50882071], [28162491, 6459202], [63938004, 83386863], [39498374, 89233230], [50296864, 73163173], [75787122, 40489301], [4578214, 99472080], [28620290, 94162735], [1921327, 12526373], [7030629, 86975626], [66803341, 69248997], [86110376, 71371686], [66266626, 94230739], [17024559, 65859924], [34634178, 82139275], [18537215, 89605437], [74722665, 48800263], [31947246, 53741127], [76828299, 97364994], [80215347, 66685172], [77901462, 20950029], [14032588, 62676125], [47823273, 34577691], [7000708, 29237950], [36938385, 36953385], [35590695, 69147605], [21760870, 65549250], [72801830, 44765802], [82700663, 14198319], [60822832, 55844744], [76089061, 78121715], [5559304, 26342673], [54421233, 78195268], [15027590, 95463770], [28237882, 90512327], [46716248, 93545182], [8801378, 65793097], [67194680, 23144751], [95411820, 47055214], [80539602, 80614712], [13252761, 64319451], [58550245, 68326085], [97663284, 10029933], [10559410, 40282053], [46253983, 65256774], [16770728, 83742899], [19976040, 21397469], [65449896, 47303988], [25766316, 42548420], [27942311, 92604615], [63958534, 23234850], [14384458, 38516044], [20610171, 86789512], [21851508, 48685767], [47527967, 52988949], [79252361, 77778849], [36934059, 70968681], [4802165, 9313821], [6697203, 21910438], [20919644, 12545720], [7571738, 29618657], [98879754, 26964899], [57856939, 19622631], [61859134, 92709753], [79049666, 88082446], [450479, 8282756], [53867973, 15379821], [23680716, 82098121], [78083730, 82074760], [46861297, 84052444], [55260054, 48287981], [60173094, 41720536], [68036708, 20567127], [79080657, 24534150], [40263865, 94067252], [11973495, 68282467], [82185595, 5273146], [76356222, 35702098], [91661163, 94865816], [1508711, 27343706], [43501263, 37493252], [94470571, 65145036], [66592531, 59834202], [83468527, 2283270], [95910246, 17510815], [21178092, 35505552], [70737690, 55836590], [80417124, 2415901], [88537290, 7238496], [74441899, 97779404], [34329928, 7025515], [15928815, 97487182], [76235951, 29434231], [10776096, 20476491], [5910487, 93667991], [43774453, 12493596], [74195785, 34582108], [91647122, 18805528], [13452111, 79016984], [54365306, 26791599], [1266993, 52560573], [32811914, 1238602], [1819757, 60702300], [99241858, 56538293], [95506386, 22707515], [67157410, 73473080], [52959504, 29729206], [68389691, 68481388], [66102994, 16380479], [47946841, 74420179], [83674261, 43836557], [26932536, 99014972], [48372678, 23232746], [69559404, 53718203], [81483590, 12049492], [46954810, 8699630], [85250543, 39201300], [55511994, 76732443], [26605395, 77791705], [7501880, 41527027], [24013665, 1062131], [25559607, 39616614], [21868678, 26170943], [57090943, 78289258], [83464878, 31621191], [15825724, 34842501], [98218039, 87393439], [86984534, 91110497], [15052413, 97372203], [95885411, 40087009], [64998643, 72104602], [65474067, 43772186], [69016936, 72404359], [74936190, 83811756], [75944945, 43542233], [64557388, 4445082], [92768969, 57186760], [97257100, 41690533], [8589533, 6464532], [69468818, 99206739], [32487735, 43672005], [28700642, 35680610], [15662836, 93098830], [47845925, 20813992], [56236601, 56056085], [54447767, 93605552], [99204999, 50111235], [83728313, 11967974], [57763345, 17332703], [48228514, 24569101], [80913580, 68124862], [28696113, 87377694], [73568442, 92510353], [27817700, 69805845], [94529405, 3750022], [24716166, 40871904], [56703026, 16430623], [17546128, 8687110], [17787262, 76518321], [6425450, 91842407], [18777590, 94928642], [34025608, 43457350], [50924323, 74224149], [80640675, 68672874], [15899031, 5936852], [93321789, 43082299], [14607045, 6451807], [85419680, 70938830], [81190635, 57064362], [35615626, 47024589], [67690246, 33698429], [35264836, 47951684], [70560398, 8088303], [16996728, 3907984], [67272046, 78220311], [1681731, 16278261], [70918781, 24017177], [42187100, 67639812], [17338836, 72375859], [22592199, 5454017], [6168140, 70709513], [17980524, 70751064], [38046255, 38632422], [84287379, 3941544], [64304906, 58235429], [57616649, 79850888], [6287108, 86990664], [28893532, 83074295], [99542951, 97764853], [29427062, 7467420], [61982098, 81745940], [32032475, 16480335], [46126496, 88850797], [60193757, 46980348], [40559167, 13903280], [22451066, 78579362], [50520403, 51362553], [65690574, 8640280], [94515078, 56816223], [11320039, 88193646], [96817439, 29812940], [79552401, 88841114], [9894746, 93476021], [93974580, 26247702], [26937185, 55275423], [42869709, 62890632], [53318559, 8418491], [24571229, 54728852], [76821740, 65652543], [955083, 12381103], [47357100, 5525229], [5079804, 12643515], [48107615, 40437288], [40358088, 51884065], [55672410, 81826514], [89026664, 71683900], [76343276, 99287720], [16107348, 37030259], [53567822, 45609833], [63290324, 80333519], [92746244, 57341850], [14808262, 36611869], [96088654, 51051047], [32396667, 41576166], [70072958, 93291574], [48050543, 45952524], [65028010, 78998554], [65002864, 56049999], [16899791, 24905534], [98512620, 10877546], [81637484, 36218426], [23245782, 71129393], [26490685, 39207725], [24902308, 84692074], [12042752, 26361839], [13706375, 47213949], [55707444, 80911179], [59084480, 91049066], [93480931, 24936517], [75735564, 78964952], [69940687, 2425978], [22778627, 30579321], [15669036, 94383138], [2217726, 71817176], [58246620, 75402037], [51568738, 74847628], [27047745, 1880350], [20644308, 89464203], [74305297, 57072117], [65637844, 29644133], [95102594, 13778655], [99940911, 77673680], [85286909, 19028609], [70512207, 81034681], [73458686, 27399333], [42636904, 25925017], [24231171, 36053163], [43741033, 40982973], [43782797, 37143727], [93797917, 3193506], [93725393, 81780459], [91504751, 78159499], [30011170, 83749925], [14773795, 84514914], [72334512, 26334787], [55619364, 77236122], [58192684, 74748693], [77805861, 38670250], [36123924, 22168335], [22832909, 37767919], [94093423, 82250826], [5484412, 78451295], [9903293, 25633896], [42248064, 48207510], [76388774, 80775940], [50513089, 11448282], [1549262, 3211108], [7710752, 69734916], [19642354, 73309960], [60282995, 41227188], [63524701, 53782903], [36601987, 91104430], [61552063, 30619819], [36634178, 10512863], [68526933, 87640544], [25074058, 24166012], [26484661, 85988461], [59679502, 54529198], [70547062, 14766971], [70318152, 54533294], [60474020, 32176545], [1813280, 88109587], [86383968, 6125265], [80623266, 42231380], [6424441, 48131687], [20592052, 1259530], [34624525, 34253678], [15210292, 61088914], [70509870, 17688537], [14235333, 86148166], [27117251, 20160072], [72796619, 9678086], [15864625, 62357787], [47766855, 81262438], [31119116, 33333758], [36155720, 60109180], [2373092, 22543395], [3903809, 32798878], [49487158, 87585010], [43397764, 89696932], [59883399, 51805969], [30435691, 71951853], [75467375, 36808466], [15935843, 34876782], [26340761, 71272725], [5213256, 928660], [52339114, 11289868], [74911750, 64062843], [58068681, 77054065], [73702267, 89916964], [7112595, 14802504], [33737227, 39021986], [36223882, 92921215], [30749431, 93617220], [7625194, 26279449], [72327567, 29795572], [20729990, 53409958], [75156800, 56037465], [98073747, 929562], [78542774, 59519216], [19207029, 90861278], [45766998, 57385497], [61604668, 4019472], [52147948, 61231263], [54895544, 4470017], [32355263, 67700709], [85353282, 40675369], [96703589, 54117726], [84005645, 40407408], [92166932, 7768007], [61955844, 99473195], [46158250, 50967123], [58585840, 79079426], [39669739, 15595346], [19122375, 40772123], [80082847, 30117691], [70750483, 57244458], [48564821, 81465890], [92909133, 36901835], [40390704, 2329541], [79255768, 70291469], [51864986, 10635279], [66190589, 10576721], [55500771, 42726223], [82518727, 28640535], [5241557, 73957805], [94322220, 31279331], [49885320, 24124937], [33672152, 31452534], [60385034, 72592583], [20614637, 66155953], [50150702, 94402177], [82788034, 76064282], [83635588, 24263554], [20353260, 3917667], [53286086, 12460602], [60886083, 9924617], [96247219, 53748367], [79249512, 69146204], [8970613, 33178023], [6355437, 11028094], [25194279, 36730048], [57173524, 66819830], [53838368, 87115686], [172325, 19862124], [57804862, 36719018], [63593208, 51501117], [41806882, 33547430], [28337711, 21436863], [84342146, 98471162], [67320946, 77453834], [88121310, 79980938], [3238180, 73716611], [40644713, 39487155], [36649498, 18734755], [52689032, 9775354], [17316371, 99789828], [40240944, 97704167], [86180641, 23304094], [41337193, 26231856], [74412510, 51168473], [4617683, 87541461], [99962976, 17645703], [608685, 96286961], [49695774, 52657821], [12546480, 75370788], [44828109, 46520135], [65644907, 80084816], [54046423, 99499886], [55513249, 33261830], [87038639, 46679260], [33612267, 33808296], [97197202, 39115195], [68788999, 87758715], [82570919, 43701623], [23121419, 59187848], [16329016, 7073556], [79336920, 96124864], [48433664, 51606066], [42391671, 64949496], [21402716, 71777481], [6937432, 96100971], [65490743, 94705637], [48369617, 96566088], [72533534, 33636074], [97632460, 26039878], [23443293, 4438437], [58790600, 62763705], [47526985, 55488775], [36636208, 3694563], [48012333, 31668412], [7335023, 74972315], [63773980, 14036396], [17091037, 95056191], [96475170, 95739572], [71305624, 52240672], [85050065, 98967793], [35419823, 12632174], [86183653, 48461122], [29112772, 70406058], [82071694, 71833951], [78272235, 56192554], [32590319, 10287128], [85732689, 36648703], [88815651, 18362161], [41214328, 79249217], [50789248, 10867170], [44307667, 83809274], [46498867, 12816118], [9865678, 57035680], [52360233, 19220554], [18015203, 20460222], [79128061, 44880608], [96490799, 42831894], [14292814, 77436864], [46387855, 61316979], [66559340, 58659525], [36823218, 71256477], [14769806, 91178654], [22649658, 95895405], [31931379, 90334522], [40442457, 50549078], [16139645, 85397539], [46098244, 20016007], [98197009, 43838028], [13429150, 27962462], [82097661, 55870502], [96004128, 42623200], [53753023, 74348351], [31812016, 79506837], [18471215, 86092433], [63882829, 30353440], [23771417, 12681172], [59133490, 40701513], [34665778, 10519310], [63279343, 1463895], [4718122, 87795715], [86253752, 53585204], [21233449, 24891287], [13694038, 65853562], [91709233, 16974480], [63173293, 45237394], [89318136, 99274512], [41933895, 26522516], [96166831, 65073683], [1321513, 63564455], [14900089, 22650550], [2204619, 52091379], [89270524, 6989031], [53937632, 57949804], [20593594, 85524731], [8070731, 32587904], [72693384, 35416988], [35279810, 28547328], [20424218, 35605424], [50547830, 67200036], [33990970, 77695686], [98944336, 28088880], [39149252, 30507704], [93413132, 78989938], [880200, 60112459], [60915987, 89906264], [69848332, 41406274], [69895860, 90677465], [30721815, 30921284], [12556988, 91654033], [48598903, 82857644], [40020041, 24822586], [8150796, 39391649], [20618973, 74504927], [41367210, 97440808], [69226403, 511525], [29230966, 29305429], [44497834, 87733216], [59629868, 97769811], [32565526, 43833761], [37549088, 79187009], [55885253, 7061324], [14381561, 88357057], [9141052, 98134358], [49016743, 4614227], [23017049, 13385328], [17756590, 95323864], [86824009, 61791249], [28743401, 25562034], [57322454, 74256906], [53277889, 65729175], [38815272, 83085937], [52625739, 90677936], [75151945, 214908], [79858345, 55299974], [5103591, 40936290], [3062970, 23930265], [53695018, 26661802], [92105618, 92068337], [10708115, 99998135], [69833330, 55607769], [13566563, 3294136], [99737889, 51764424], [56478682, 53289809], [91195322, 43444054], [92709901, 50608698], [93866253, 33105518], [5010202, 5713037], [85453206, 99736786], [40592291, 53463698], [98476468, 58854070], [39128858, 98920056], [29062978, 35847585], [83289623, 44771319], [15497102, 43268668], [4829320, 92575288], [12150648, 42074780], [91336685, 94100407], [73393439, 3043403], [75015492, 11410098], [48123206, 40841281], [10944407, 33007588], [92993255, 39283657], [46268641, 8050526], [17935999, 21952180], [72847060, 83280663], [17326379, 28055437], [4966285, 94564459], [55298105, 32943722], [38681661, 5368180], [25563575, 41654376], [71089766, 51033985], [91005440, 76495210], [48100498, 84202507], [86629712, 95163214], [12567075, 61949865], [25176351, 48999212], [77672284, 69325844], [41717571, 89269068], [99099423, 70680928], [48130758, 21628328], [95740930, 52074886], [97483035, 89370783], [73152857, 17277646], [58617852, 70033121], [54268893, 27462498], [39449329, 92377469], [85692394, 75828355], [73767482, 83109656], [77743021, 11586397], [61413620, 2216456], [78894826, 41178291], [58568127, 80918796], [59989254, 49296013], [68322733, 69837496], [98862616, 15519795], [54274344, 13785776], [72088243, 27565407], [5386297, 38745384], [13647311, 74935323], [18089378, 78370539], [95342209, 29115939], [41927019, 59173618], [24176551, 65652392], [81330308, 85354209], [94295588, 10413888], [23377998, 25407069], [10693927, 61179917], [75635411, 98176031], [11083473, 32353690], [99006678, 90900631], [44572474, 75582575], [69505037, 72407033], [77732978, 15521490], [72224911, 70836335], [65848401, 41963918], [5943054, 41086943], [60004127, 90224118], [65579031, 51410773], [5489072, 38741943], [7036299, 2843006], [87309359, 18517482], [7003077, 83517963], [95594832, 50600962], [45351344, 82793965], [23140526, 79320373], [28576266, 92452614], [12286706, 34073896], [56783298, 12924311], [19729122, 17045999], [67079078, 93472374], [9865837, 33039709], [47646469, 68939178], [4903854, 33935706], [92126608, 22139599], [75757761, 72652196], [78244173, 44897328], [18869560, 13941878], [22616597, 30046851], [30591476, 33512879], [6576816, 69730609], [65673289, 89933233], [6123682, 10420205], [89830957, 41436127], [67491294, 62122698], [56518079, 35249321], [39540145, 80769541], [24637108, 92088878], [96946774, 38734160], [39230557, 55828572], [81159708, 11090571], [13002481, 37941073], [59291834, 37925927], [87797387, 36913013], [64184943, 32791240], [26529165, 80080115], [11558811, 54573338], [89964217, 61660139], [75520565, 41181146], [93414534, 23997427], [39261137, 89685908], [8534441, 38660147], [82036775, 22285252], [18717455, 25534743], [78651089, 39601151], [15077944, 50889086], [41408364, 78160635], [86450085, 27990776], [19943308, 68456567], [96813333, 92442415], [54691724, 15618451], [40293073, 92385241], [94715429, 81999238], [84289538, 20431013], [58668467, 79955211], [41435040, 99757183], [15053144, 29617555], [64206414, 95386777], [10147918, 12716660], [51558403, 76759092], [59788645, 58765311], [65962569, 98160887], [33066639, 76182974], [92984016, 26845760], [70972840, 16430567], [23886593, 72802325], [84043017, 51151225], [65951963, 43540916], [56577159, 98905710], [50864710, 99542828], [13512988, 6962947], [67092839, 70438058], [41606744, 10036934], [63241894, 35672838], [26302740, 58407655], [71434429, 8096], [64971893, 62974190], [78970838, 11457073], [27376566, 87730558], [45559695, 8180250], [67872611, 19262412], [93171378, 87273160], [71054860, 32011148], [4341630, 43216270], [62513353, 66368629], [99998709, 87190717], [41401173, 32700200], [45486634, 62891929], [96496747, 35233584], [24765096, 40892290], [75658752, 25801713], [14310832, 15205079], [83624889, 65443031], [23180702, 54435607], [73682225, 20225649], [17178991, 42067293], [11310619, 17147119], [65092562, 72597947], [90039964, 61409270], [8318784, 10047134], [9123934, 6889884], [57614880, 98837666], [91202321, 96383437], [74504903, 56785055], [87322781, 16104007], [78754997, 50228331], [43833266, 99862358], [51556345, 68829204], [25828076, 54995796], [82395983, 45815147], [6268427, 5493460], [11397667, 47765681], [55868652, 34442592], [41995833, 30335028], [14837021, 14240281], [56686617, 54004723], [97685769, 99531891], [702761, 39215289], [23804994, 57547041], [12847278, 76789187], [66506004, 57780049], [86720921, 20773186], [43270978, 28844826], [25299341, 20221191], [40647125, 78909929], [13950130, 53671880], [90119782, 11404681], [26222381, 8966499], [81188809, 74221400], [66657605, 32715502], [70050132, 18861883], [83699240, 55545122], [49465078, 5977711], [70145424, 40499291], [69441662, 44485261], [37460145, 9805761], [53985503, 7821990], [60326599, 41270997], [97107066, 55233011], [22729259, 46112622], [78562377, 52510132], [29265910, 87457147], [67721712, 45856858], [43817643, 46435942], [40474052, 32630726], [88197956, 42848193], [11711820, 55641100], [65035364, 11410164], [53078909, 42823092], [79281335, 20953754], [91266396, 46647718], [3116236, 93762362], [44219974, 15290177], [6649535, 90623426], [78391282, 53148145], [99797115, 18012567], [27206367, 58680472], [70525342, 61278986], [68504506, 70063666], [10738701, 87381246], [9905492, 95484091], [42524903, 82651722], [92647411, 17634757], [6855998, 88219815], [27575181, 90374262], [87766940, 27681250], [57256489, 34653190], [78592805, 37577827], [68446246, 43753226], [70328751, 90752948], [20338936, 77291548], [50122000, 11965331], [61731386, 67948915], [40527986, 76446972], [69905669, 85278015], [10313731, 55877927], [87467850, 96950254], [55138505, 74629256], [30970392, 56185887], [80198750, 99965843], [76659615, 50860780], [83071960, 53414991], [89251108, 97629703], [78691897, 25467978], [55917448, 1375913], [82555348, 96314536], [95957342, 25114723], [13681495, 24746355], [34498837, 80128145], [73079368, 27184858], [9923622, 80947533], [23428040, 10215214], [38395759, 98570065], [5746533, 63248152], [15011785, 33692062], [45069853, 93972572], [23526787, 98632167], [98527036, 55945227], [33091187, 96002916], [70574352, 9909840], [11872013, 16382019], [44138756, 23072418], [60227089, 57208329], [9294474, 58327524], [64858358, 54974376], [74371801, 3663648], [56746684, 17934394], [25076322, 68984203], [2252017, 83703685], [94774974, 53485920], [43294058, 72722458], [96022344, 76114197], [44952848, 89442755], [82369253, 8381139], [58460249, 20736052], [79895976, 10088065], [19787175, 12952081], [54028133, 60663379], [98230415, 251679], [96721680, 56652840], [2990754, 17651446], [72153555, 85046486], [67695621, 70459386], [88547041, 92042797], [62617573, 41998704], [66866490, 84906691], [19124665, 95983227], [66611897, 70305685], [58738007, 65143626], [73398535, 85446596], [6798727, 2953829], [62406289, 23051325], [68042412, 32392180], [39270882, 93840834], [50234529, 43596543], [73125196, 75988198], [15157622, 33295592], [54913897, 77415886], [86518698, 4439794], [63302243, 30391188], [47873592, 7624567], [73807136, 73665082], [26046815, 30442230], [71448879, 47619074], [39297373, 29600311], [55937766, 73950806], [70569808, 35384325], [8475017, 99672271], [10343448, 79903967], [9376625, 73515953], [54207239, 8241170], [76384364, 48046819], [71037842, 59859752], [34889682, 3913691], [88004353, 83612878], [52385961, 12404046], [89915781, 89027526], [21396461, 55461158], [97546690, 75934669], [37021177, 6053913], [90570041, 81004106], [87688915, 50201242], [70045723, 10742522], [69079438, 10807323], [29103463, 327193], [29289063, 97803573], [59971028, 29204891], [24286013, 55355028], [66407398, 47314189], [23123219, 54756540], [37633368, 51057745], [9383214, 57849552], [35621673, 57717955], [76495817, 703215], [23255291, 59495699], [1249862, 61836174], [64225931, 48826421], [96281024, 3104362], [15984131, 72582626], [31185436, 61944020], [45933896, 39215465], [91961877, 64653582], [80607349, 98030183], [91540740, 94939639], [19724439, 67612047], [37460563, 35092991], [14566688, 27068924], [75192544, 4904934], [55662470, 33158989], [18381744, 69935044], [13767371, 16673119], [24846818, 99164963], [29977474, 42339627], [16094028, 65219312], [451950, 5783573], [57683394, 44575984], [20235614, 13684374], [3455357, 2536852], [82551635, 57034028], [43363484, 26201131], [81281887, 77562917], [74492004, 34177126], [27067995, 78083985], [84459438, 72317484], [53682840, 60126633], [7014740, 66013229], [88421520, 72881444], [49083482, 40308024], [7922035, 31638674], [55722786, 3379942], [24617966, 26368974], [47487319, 17780644], [6707429, 29938579], [592144, 24806421], [31915446, 71463388], [84647835, 87742212], [8442359, 46656547], [89618680, 99170345], [1923565, 81239464], [57428190, 4025755], [23336186, 40271858], [14391266, 4492944], [44461589, 17110340], [28427190, 60683940], [97252008, 80876258], [31222025, 75900562], [41955117, 89722686], [97748691, 88485553], [10480887, 60964897], [35963011, 61703785], [1660290, 95546995], [10496923, 25177508], [8877493, 83858141], [5407121, 31415857], [93539315, 43177646], [70733183, 80362793], [16768376, 9363133], [95768278, 10348887], [80516806, 44926785], [92707556, 75935053], [89271595, 69755123], [23289082, 41669314], [40135081, 20059113], [721424, 21398893], [45407395, 89691648], [99879857, 43851885], [82401710, 49454377], [34020186, 16217771], [82321993, 14331548], [37256986, 56110319], [37567796, 87558176], [76846418, 73617748], [53523624, 66529989], [67784350, 32633572], [3415359, 96039153], [52644400, 44449720], [64955127, 75411526], [76373030, 44155679], [11566692, 5013879], [74904593, 93154443], [83035242, 74959200], [29227979, 60788105], [97744706, 39482918], [11704834, 76381582], [82421442, 36861339], [42659911, 29180264], [68880152, 95878464], [10950806, 53805599], [1051516, 42875768], [66442338, 28391862], [13980814, 5187462], [67264713, 94865637], [78073165, 15454891], [45714698, 61742478], [81561231, 66618568], [77064093, 54313126], [15204656, 45562597], [98374762, 22978920], [90786169, 76746958], [3687109, 60393448], [43668197, 66566558], [82346818, 30319234], [70828326, 42693146], [41152528, 80908133], [69529102, 57057263], [29536806, 18021525], [79684946, 99472293], [58387353, 89671497], [59295272, 17446873], [36489650, 42332001], [3754700, 6991859], [33391812, 71652516], [76514520, 55355919], [2576418, 23365928], [84780844, 10071002], [90772105, 22396746], [16282511, 58697523], [46879467, 61440718], [95501821, 20666946], [53742794, 32056], [26652490, 37989818], [17610136, 67376092], [8083819, 94088278], [21523251, 20033686], [40510557, 73158815], [88715157, 71450859], [26609340, 83363564], [87446680, 72746893], [54230747, 11463586], [70041542, 8628606], [80997009, 94781824], [98311219, 15767480], [46562304, 1682721], [41580314, 95426712], [23740693, 84882534], [40232951, 88720474], [15309593, 50444830], [85268214, 74706986], [92434707, 25786318], [62082824, 33074000], [86306139, 87012201], [35585247, 74694267], [96267734, 34126733], [40981452, 20893251], [11654091, 85626824], [84191206, 86502670], [75851991, 55391950], [87528084, 5745717], [87577925, 30877681], [65947405, 97766025], [40456499, 74711725], [47632462, 51436969], [98579538, 70538346], [83006161, 31967799], [35562949, 27444014], [31338145, 96083970], [83974329, 16570402], [90634709, 45629404], [68659536, 63457483], [92012714, 67904808], [22683988, 11298426], [56306850, 29585545], [84740202, 96509005], [12428111, 24215630], [52096210, 97669881], [41857528, 83497197], [16279612, 7313815], [69027212, 31886459], [37670016, 63221057], [57312165, 72726360], [67245523, 89980078], [6573872, 57691935], [32930380, 18733210], [19559158, 91070356], [36321408, 6332733], [36196588, 71045039], [29030124, 64980452], [99256882, 94638598], [64102968, 64591804], [44412075, 84436962], [82200509, 63428106], [49863225, 30952746], [68024918, 45977605], [60733956, 27154072], [82157046, 38864693], [35173006, 55417632], [97695944, 52501170], [30782442, 17357982], [14679208, 14567011], [57144963, 5813368], [55976466, 57420930], [46941155, 2354063], [36296177, 40092174], [24477420, 89033975], [60913695, 70623686], [4952476, 63682010], [43973854, 8200120], [41347068, 66412799], [11483915, 31071779], [30903459, 23312059], [48000698, 20970200], [30971811, 17119575], [36606880, 31723968], [53612811, 55496843], [17149602, 9030915], [70805272, 59887224], [12136357, 82493713], [7276726, 93590655], [80971515, 22262514], [11810824, 98332890], [19669457, 19518476], [40713061, 10804056], [3407700, 61344863], [56000644, 84453534], [50802957, 56793495], [87278640, 67037415], [72117606, 70486250], [87632587, 69972212], [51040122, 58410978], [90786611, 88376711], [78886634, 42684441], [42575120, 48342722], [42807646, 39206949], [15792246, 47355502], [26854044, 66056226], [92952932, 50113941], [3549484, 42515598], [33750072, 67072958], [41534903, 67844408], [64009107, 75613907], [55090972, 13975046], [92960858, 42545885], [69699780, 30839143], [74676149, 9852404], [91495297, 55153967], [12019667, 82974412], [67683940, 4254281], [95460126, 84233733], [77930967, 52653850], [51197567, 4931510], [62628580, 7629848], [9231856, 21529849], [55487284, 45207920], [65068099, 5608153], [83789368, 20932649], [11837565, 22186135], [91392215, 9020707], [71827827, 87132681], [7572440, 30057512], [52602343, 64108778], [33116542, 67443761], [21404632, 352072], [21496830, 25183632], [68520783, 44524404], [98373744, 16561842], [78731182, 82980148], [69527099, 52390941], [21636194, 59627487], [17764438, 57195260], [25158903, 77314894], [7453967, 32388977], [50258018, 58175597], [26466523, 71669474], [88663918, 98263877], [42778401, 39982066], [73327687, 91915339], [40120375, 97840485], [29290081, 73648898], [27165967, 6069890], [13097271, 80445131], [29091126, 71501471], [18430249, 75146752], [64625776, 81504639], [8566547, 9954838], [20807102, 66998594], [40162997, 19569432], [86090923, 45159726], [89172357, 47598947], [42173727, 65179136], [64344806, 57962479], [24236966, 44795163], [64673775, 34481757], [73093378, 67665872], [64041097, 84182510], [34882843, 95118573], [25123452, 85464360], [39430463, 84052502], [30201854, 89449076], [69916264, 71255885], [84307670, 53437658], [21583562, 30019001], [83236316, 78689352], [44091452, 88358960], [94305391, 77512358], [40388483, 60706444], [99161272, 4083715], [34371906, 92047824], [20027402, 56134364], [12470567, 45136107], [25322761, 12445461], [89678637, 86853363], [10438099, 33120326], [37687234, 70048706], [61289003, 17581262], [40710006, 20518854], [51230740, 44897938], [60939805, 32773131], [35018939, 15059557], [10030668, 51125028], [12049897, 87291030], [75356875, 32827770], [67522666, 31070575], [47145431, 34134669], [9855117, 2758384], [4724668, 18439525], [79010338, 52983150], [39301859, 39963076], [23761404, 74550517], [21530658, 73024085], [67348163, 32627487], [220532, 93734299], [51629394, 99928391], [35628953, 22159763], [34998570, 47156537], [4801452, 15725647], [78151909, 10610708], [91527343, 9164160], [40604745, 34045378], [80920201, 2288253], [50181559, 91281282], [95601339, 23583213], [80944247, 40420463], [17500788, 31144692], [87037470, 40971089], [70113541, 34454062], [40950221, 74777480], [40625413, 31872281], [25668633, 31436668], [49765224, 78538063], [85122979, 55123176], [33977959, 13806700], [602048, 25700512], [81061694, 79999769], [20365011, 68328234], [87810045, 44257041], [73376232, 10011949], [38189958, 51361036], [38393828, 9270203], [22588079, 56785223], [54607299, 40181783], [59879330, 82914495], [84306243, 31254767], [49957236, 84907201], [79002912, 66113118], [66895375, 884714], [8872740, 58611174], [72674740, 84601400], [55141969, 74450698], [8668639, 80152182], [81505821, 57313808], [74320364, 49165079], [4226775, 91883263], [26010692, 29514861], [53045663, 69725774], [86540992, 53741052], [41469814, 14588943], [86441901, 67490367], [41295257, 35032597], [89562693, 60939312], [4742084, 7314411], [83412219, 14159953], [6065477, 30306241], [87630510, 99500494], [35325907, 67818467], [79965720, 5416856], [32678786, 67607554], [61209113, 47865809], [87841418, 18137867], [93642392, 72499454], [3933450, 23133541], [76878074, 55918691], [89196834, 6077863], [59329431, 62797571], [80237205, 56145361], [66930734, 44387436], [26313336, 94462685], [70734903, 23360825], [24403677, 55312704], [49778802, 83073589], [39682924, 9016062], [60114756, 30080648], [32316266, 15809186], [45597361, 19485890], [43208057, 13010442], [36579886, 18970221], [4391029, 14637468], [5735047, 15912038], [25684600, 11225957], [42230688, 63734893], [78469774, 25719022], [67163415, 56275671], [87666420, 37564660], [82493848, 46843759], [96658331, 89700870], [83568093, 64620555], [48221605, 96940998], [44037140, 7902484], [4817509, 68905610], [6360783, 11870113], [28821255, 22994503], [19797061, 80363646], [92504700, 35960103], [6002737, 84018623], [51185459, 29796173], [34020941, 83620078], [35297087, 95399347], [67854242, 81087512], [93786094, 91737580], [32745699, 71367218], [61247721, 40157639], [28325767, 41800189], [52225673, 35610889], [56824656, 19460091], [73035419, 17522980], [72818949, 98844820], [99317185, 82162756], [84160427, 51362848], [63826309, 90554867], [42144744, 46589351], [33153145, 74860043], [11781651, 4894225], [44830525, 76005159], [52614502, 34239980], [14863450, 28207315], [48642719, 31624569], [30910894, 82925725], [2249438, 35174560], [83768271, 93700589], [3858942, 6513146], [39691003, 63073360], [24925368, 50012888], [85081395, 53872396], [10933869, 36965915], [86603004, 7775133], [75454022, 94883923], [12604189, 92556410], [93818503, 20536985], [20205844, 5397071], [82613505, 13163798], [47803842, 32450871], [76053063, 19388373], [83869941, 66703199], [33962047, 86446521], [21231971, 50731279], [20434885, 58052928], [87878399, 48730411], [44776115, 97608375], [58260881, 27672260], [3987605, 75195738], [6480323, 71490702], [7277336, 77730927], [57291147, 15404308], [25454573, 72796634], [90407050, 20306546], [10533967, 48226778], [80312068, 14312320], [31026163, 57575209], [4952242, 57920191], [24348436, 21553208], [96893508, 51170827], [10734085, 75761527], [66040536, 67448930], [33360080, 84614234], [56602287, 29914037], [6774181, 60138625], [5270613, 94136086], [11313981, 84992004], [1063360, 42977913], [94915723, 33086180], [47042582, 41166156], [85709261, 97526808], [94440265, 19572094], [80091869, 5844982], [15221590, 17909753], [52775794, 1179556], [44844202, 91509812], [94234653, 7849885], [17463494, 25194944], [89233492, 20235220], [40394735, 20352873], [47111828, 90082984], [81699549, 61169516], [26887419, 61431430], [18500856, 92517460], [45127230, 96661966], [79165945, 61768966], [23179555, 62450482], [88124550, 77035693], [28864120, 6878859], [44913993, 56271273], [45998841, 10022029], [92287515, 36394159], [18844959, 38979217], [19393581, 42942687], [66439869, 70779035], [17385923, 12535626], [27045692, 39098037], [1740451, 57606104], [5690414, 41492302], [1097067, 87716238], [30336648, 97983488], [23530735, 51266716], [34738406, 39467377], [54675099, 23159933], [35271939, 36718433], [53407327, 44313682], [46400228, 48688689], [95880900, 622640], [79655612, 21898942], [58546363, 64038070], [6582860, 27002338], [42420947, 40333515], [18513339, 56948931], [22741830, 29235531], [90626061, 73292651], [97148754, 46933547], [4604291, 73791523], [54976154, 75286629], [94961793, 62817827], [48630219, 31882641], [83126759, 78153483], [67170753, 28847138], [81261252, 35902620], [91104103, 99493571], [87291099, 69576881], [31885889, 33962088], [36669043, 7491174], [35989187, 12740819], [47908266, 80702425], [34141340, 74534174], [9245657, 49106316], [63841610, 19069751], [33864874, 56514497], [56924226, 94023290], [86417227, 44690873], [57588828, 9786514], [86488827, 84747864], [13003112, 46278281], [11457091, 96179032], [46051122, 15423442], [32879693, 8241557], [42974259, 7960073], [64455090, 88588779], [512373, 76523013], [45682218, 84456578], [80503034, 34645704], [31810046, 18552012], [99171120, 6032956], [63128865, 30497701], [21836740, 27249256], [71017744, 41426803], [38825400, 13399574], [14772740, 32207180], [60676543, 73526323], [13514911, 52640346], [31968523, 9746060], [45758358, 34783005], [61538817, 29387177], [27923382, 33919952], [75725093, 1170934], [41568884, 48922763], [90593040, 87018234], [35828944, 2502830], [38971298, 27096073], [56589751, 40330627], [85434229, 79380097], [74127167, 11533278], [80547431, 23733677], [55426040, 30165731], [14499800, 60986104], [64161109, 37575521], [10294282, 26552137], [62498279, 87124332], [21684793, 90820985], [78883529, 42637003], [91936682, 35613753], [62018493, 3511321], [30144446, 92677328], [52595838, 60118050], [39854065, 29535195], [54327721, 31342061], [4499980, 55293303], [78431261, 86312039], [57019331, 15444717], [96332878, 58674324], [95032579, 31318075], [14366320, 51851397], [83919457, 38817030], [24400027, 60126482], [34677884, 55578378], [88600671, 82992552], [48512359, 12574514], [40002169, 10245158], [55906030, 20676158], [72868418, 86309597], [52117512, 17544734], [8015145, 79105219], [38366750, 76890828], [15872491, 11738888], [17787150, 26353030], [9647154, 93818988], [82084342, 3209463], [59858467, 36699093], [47215748, 93070391], [79973202, 4927344], [49735424, 61975900], [73189731, 69775423], [77096775, 11385214], [67281131, 17979130], [5383759, 17870712], [68695345, 4536852], [98943214, 17637933], [88745564, 78140269], [88430716, 84111304], [62439734, 67682814], [4575545, 57550204], [24811184, 1040630], [50269412, 22033143], [55621208, 36816704], [43209954, 80648835], [95147974, 9301560], [64140676, 83037514], [4667847, 83812167], [20043777, 45498131], [71752011, 83277816], [25893737, 46286061], [75102357, 2971029], [93220064, 14727067], [34445201, 23952367], [21703104, 96855724], [143347, 73851345], [36882819, 48587702], [41679821, 37509799], [86420861, 35410554], [36135230, 96836230], [22158160, 97084311], [11820916, 44195022], [78705858, 88615566], [3997358, 17217336], [54418483, 57896546], [22691068, 97200332], [86205156, 57823855], [84912001, 59942301], [8899699, 2083174], [99352205, 13840271], [77904678, 60932304], [93104800, 60218780], [61382252, 91119085], [27792625, 45161440], [93727554, 54530195], [45444839, 25795087], [17370281, 15757842], [84051993, 58140760], [52706363, 55761923], [52408412, 55512144], [76357930, 10525013], [82938286, 76847797], [74262939, 25444552], [52200006, 23055988], [66690618, 93716552], [61642170, 88628958], [78301397, 28272207], [11203812, 63747831], [67364583, 28210868], [17545350, 97493199], [69187122, 52603639], [14219878, 59070427], [16249423, 16201457], [36023384, 33587333], [98576800, 4618201], [61881488, 12641469], [7261545, 85593941], [64200541, 95730304], [28011861, 79479572], [34474929, 21230693], [12284658, 95092185], [64208404, 32003454], [54439144, 43375404], [10480290, 45702214], [18040150, 51730177], [92153509, 54955799], [42020099, 23811362], [84669740, 63647548], [5870227, 94567471], [74569028, 35921810], [7985698, 65999449], [55168274, 76790691], [92862285, 36476303], [99846463, 2444075], [39197188, 20970323], [2158870, 36482694], [46913599, 74956857], [56519860, 62289608], [59141526, 85417863], [37305076, 68319694], [96078413, 60841033], [91181932, 35232521], [51547826, 57314596], [84306166, 48517712], [11504658, 85048061], [55343597, 95848670], [36107937, 45279468], [40224885, 20385544], [39303160, 16764083], [40020365, 91976700], [57599636, 62553151], [43459848, 36707052], [82930775, 7475223], [42758775, 80458337], [84329139, 42648153], [66217546, 19118798], [15356853, 27574260], [18245155, 96372400], [56119862, 40870599], [49473791, 12469573], [7720011, 89718986], [78138313, 44528162], [38058626, 46027457], [65672599, 75420294], [45441964, 68130677], [13639537, 76225781], [35920704, 19460677], [57947319, 19415312], [79573625, 8850639], [26443724, 91808500], [38586669, 81141106], [6014552, 42393662], [92782514, 55077351], [81582250, 86520414], [17167859, 54770885], [7545444, 52285525], [93914118, 75746038], [69166385, 2414240], [90290472, 97311478], [45014277, 69351692], [64470764, 91103672], [25051719, 727436], [86978713, 77502351], [84518747, 79936367], [41300361, 92950842], [30254059, 82308213], [98912478, 22530133], [21385995, 11987026], [71553303, 7515904], [91669229, 10554751], [17283397, 99064882], [32898600, 15439154], [3075762, 72091898], [8365033, 67853876], [49283395, 27578072], [53562311, 9387897], [98958107, 22654241], [40140303, 34368219], [53504757, 25063498], [52845530, 8391804], [15973981, 40091922], [63725036, 53778941], [7840772, 69761674], [51642408, 8085656], [68026780, 26606185], [78751851, 87544002], [4272256, 54252661], [87578403, 47057126], [63944052, 37285324], [26384485, 37764150], [13678976, 71313625], [67306763, 72127031], [8252344, 34680627], [44652012, 57445361], [63510938, 11547774], [12260815, 94676819], [47008325, 90659453], [68592387, 18699226], [93464449, 98858865], [53222479, 40741236], [19602758, 82983276], [63345961, 72517440], [23082117, 3457701], [15878572, 46370679], [92803146, 526603], [9542243, 44778555], [95514681, 28560526], [8507939, 9813004], [57325982, 13555416], [95491682, 8945164], [42893516, 36746236], [13442808, 64288971], [23656988, 47762463], [99274370, 20399009], [10270242, 70426313], [36300771, 84048292], [68745293, 81490326], [38989888, 42333887], [98304177, 16399375], [39538754, 52668152], [48690249, 93029241], [97364467, 60846734], [65897561, 7104299], [23262600, 42858745], [98871614, 67669131], [65412168, 28506256], [5419850, 82469831], [43886527, 34984639], [35542360, 14901026], [73829296, 52006516], [19157449, 74223533], [36735513, 69222218], [16027956, 98360663], [66014226, 71371562], [30554217, 95192132], [45281359, 16737103], [45688880, 72414241], [86270667, 81398101], [96561381, 67076386], [46819091, 44969119], [12758459, 4159121], [82162965, 28794584], [99537929, 9189230], [47640228, 31032865], [26685970, 57611342], [54315290, 57585592], [74366032, 92806538], [88249526, 47151616], [66956439, 3312143], [88828960, 2138484], [2751658, 3363240], [79857264, 94448196], [22390430, 1470107], [69298905, 93886383], [15785171, 28828817], [13808334, 5403782], [22480008, 81136586], [52914026, 46849331], [20751559, 4276529], [26341159, 63216276], [2387437, 12027203], [1952317, 70322787], [86904091, 97860961], [46779212, 41013865], [36360865, 66157866], [41020722, 54530134], [81911674, 54304833], [25407485, 95985525], [76029260, 96245350], [94159266, 42841659], [78415629, 20383474], [49733047, 16564360], [91093421, 45648422], [93680055, 81402150], [14822827, 84815586], [51193615, 38665129], [61952365, 61360363], [6225587, 51275918], [95550062, 88921613], [96400267, 96946222], [42858817, 34863333], [75322648, 75313760], [24644324, 38288334], [6013997, 29981442], [61086465, 86472237], [23239314, 95051588], [47680808, 81155560], [23701543, 52443806], [46293216, 38032523], [46756459, 5005156], [29732594, 76260852], [23459244, 36998317], [11807719, 63963899], [24247135, 84706080], [47558235, 90383121], [25907205, 40858872], [82600159, 11317146], [14112176, 55794950], [952475, 50150992], [79464054, 24076037], [9789261, 24511693], [72546988, 50235559], [43703982, 48376897], [81775944, 57446537], [19750670, 63420478], [90803682, 99555567], [62755858, 89577670], [72678953, 54918331], [89486612, 48848161], [53595648, 76072846], [25530351, 16035022], [79275423, 65550646], [40964934, 94337318], [8297544, 47070794], [60766335, 83871021], [75126715, 99574382], [34489577, 27809924], [81701802, 7991631], [90871126, 99834181], [75357229, 20447719], [25409835, 15306822], [34282357, 56228138], [46503682, 11620421], [47987935, 19823993], [84307318, 33254175], [5399860, 73848420], [4219458, 70053004], [24976916, 725173], [75012966, 37722022], [39806688, 473373], [24539877, 54665161], [22494612, 62244139], [38768144, 27164141], [58156968, 75390467], [36655903, 82113374], [74754804, 87622484], [38171892, 93692032], [71707786, 65635216], [59944355, 17390272], [20412015, 35394919], [58786211, 81258770], [69002055, 65200286], [53708110, 50532209], [70310469, 54292472], [26204948, 63901852], [40549922, 71058614], [78022251, 47920888], [59152116, 72758590], [68781902, 78131377], [89082984, 44005965], [86146321, 36901962], [45976515, 95865947], [35017362, 56902424], [98768031, 15036810], [21548948, 73236968], [97050531, 75177396], [9161696, 6438009], [648400, 28724844], [10424732, 67187850], [41795364, 22563285], [50809943, 50487003], [73823140, 81409288], [15714839, 71796815], [38175691, 80862141], [41235874, 75076044], [72090763, 40537420], [80622522, 45682801], [7069724, 61017521], [36892966, 83840263], [85176382, 48085163], [85903179, 21010286], [97436706, 92522319], [60804811, 37051255], [95274883, 36959690], [83204280, 64310752], [10573013, 77084692], [9578045, 36375272], [34087527, 25247575], [12883741, 88185481], [5071754, 36236468], [47415204, 77276579], [82609364, 94964215], [97261114, 3698965], [44159337, 33808443], [17030816, 1121426], [15388396, 84462944], [99400454, 63285048], [36871364, 86378994], [70433545, 6230121], [17982449, 60145472], [73816779, 82951699], [79594045, 36631859], [53697579, 27629991], [52800386, 60449884], [89256500, 91469971], [6208542, 50079709], [80111591, 26320865], [99879501, 40291421], [82474062, 92819607], [20228097, 65202203], [26151141, 14802607], [87100200, 95582647], [18649204, 6003781], [92979921, 99551547], [95311581, 6510425], [67059430, 82982765], [31770885, 28994563], [51325061, 30033105], [22325040, 11795805], [95770671, 15524924], [764515, 9846414], [21905223, 28871790], [7977588, 21888600], [52624543, 66794386], [27592316, 19651004], [34056999, 40692355], [80432192, 99832740], [34197862, 87744196], [42595040, 29839632], [58444888, 89759382], [59117136, 93688867], [7029883, 30256082], [99775151, 37381604], [95165523, 10633999], [45774087, 69175416], [87336275, 13967008], [75343637, 47509380], [17092966, 33893989], [96878465, 8443070], [6587038, 35868771], [61950793, 95995486], [36981719, 83185507], [16971675, 62474604], [87702873, 80877336], [36090494, 70807167], [30552048, 30589439], [1591787, 44653501], [3173207, 21432669], [46266157, 6699617], [38175307, 57823822], [32820432, 91070336], [71561428, 16413116], [55247896, 37397642], [36821637, 32312805], [31360971, 44413142], [43259585, 83981618], [71109422, 2735147], [25581452, 57389047], [15060877, 95782634], [95741403, 54916996], [58324499, 76916304], [8975227, 4710578], [14363380, 32781673], [9656855, 92094459], [83390957, 61197634], [59627133, 72877378], [32541188, 88434136], [47083487, 4410661], [37849055, 45298599], [44323787, 66037821], [33376887, 90023662], [52882753, 65970596], [30962922, 12269442], [84841726, 15556213], [69821126, 63523197], [94839496, 82475924], [41448119, 24524584], [1994891, 9680751], [15120168, 13938933], [69235384, 48266321], [19726523, 90418556], [72147211, 48744240], [84864105, 85126040], [75200996, 1967431], [86098684, 34870469], [35087011, 40426886], [36873284, 97486814], [48295835, 45169763], [64603045, 54612785], [52570549, 66769822], [96273572, 60743237], [6847393, 14050678], [41481914, 28111143], [39790306, 96154677], [21960089, 86147971], [61991885, 97823934], [39680050, 48158374], [96024204, 95792746], [44437246, 1373809], [71568616, 90310968], [28564456, 18607620], [74510607, 95988547], [9786469, 7131547], [94960841, 85723266], [66064185, 23120224], [53563161, 26635025], [6049824, 86335078], [70959335, 41692236], [56243466, 57244995], [12161586, 44141753], [1649512, 78706798], [16890053, 8264180], [48161859, 90562736], [36961304, 54484591], [2157655, 92086580], [93044669, 61675415], [88886, 62263007], [83507844, 7641379], [22418276, 285647], [54647765, 27263376], [47612257, 7102467], [52039419, 79767577], [65046739, 9899871], [53674211, 20601182], [11495390, 80399243], [89223387, 56452142], [25403164, 22472491], [85828880, 48351350], [93485179, 38912041], [82000504, 80917883], [53570708, 63255403], [28739238, 98291929], [4970840, 33098248], [626267, 60807841], [92384801, 41143808], [9126609, 4256821], [89175883, 47726288], [40141765, 75119396], [49280859, 94109873], [29396837, 25974950], [66460153, 41674694], [55640117, 29864779], [90133266, 94128799], [46160503, 3012940], [80662912, 2732151], [20134937, 93732033], [52760846, 25944267], [56114143, 91001365], [18425845, 55833877], [33202879, 78826842], [71107009, 76608222], [78970829, 76434458], [59453529, 54204241], [93810242, 52783632], [10296333, 38267119], [11832100, 26156301], [50441615, 53373520], [72058889, 45837694], [36016662, 13151806], [40352520, 50498503], [11256753, 45812514], [95992481, 84451035], [22016792, 47247854], [64599130, 53357847], [16466741, 63406540], [23727890, 48518852], [22473509, 40877420], [33889663, 11731954], [82260631, 44746414], [2014828, 31440953], [21831862, 34937705], [49129474, 11536457], [31378647, 89300922], [49154052, 98205549], [64557257, 69634311], [8002967, 65418003], [22090514, 69427842], [76162726, 6446746], [78926294, 44986071], [10317191, 82870740], [19538447, 74456174], [97570658, 26263649], [32612485, 42919745], [27119006, 41815513], [80466752, 70882129], [23576056, 20760602], [6313626, 10901471], [60143583, 77272899], [87409925, 594952], [96800067, 45179535], [19660373, 47722455], [14847396, 71484029], [40252818, 1675011], [50774422, 69058407], [31267512, 75837821], [18849339, 22646052], [36183215, 52747815], [36455698, 53385346], [79711290, 34247396], [36189864, 29229459], [37066740, 62000770], [71192200, 21441216], [89547535, 60401652], [50774453, 5922897], [64895663, 50748302], [78721783, 55413870], [80272849, 66391031], [15812291, 20941497], [40770745, 32369668], [98883334, 15574762], [16343144, 33829360], [25797318, 68405108], [94801034, 98768954], [26345243, 57830032], [42650232, 46068557], [96883939, 72821856], [51763053, 57130203], [37424309, 33652304], [68365604, 9775935], [65365232, 26247111], [19455317, 40530940], [73976695, 88706494], [54000203, 12008074], [65622030, 21853533], [98006374, 46696922], [36251788, 63400682], [20606630, 87118079], [22763098, 81533892], [57740897, 45715694], [53949917, 51078975], [24988557, 9140534], [8222867, 20999488], [11826775, 10846380], [86487024, 71412996], [43444503, 21926880], [90191216, 91100919], [31617134, 28525566], [17430455, 69689723], [34090149, 81029394], [36826381, 62322957], [52924743, 61476803], [98626381, 66734358], [6372146, 40230899], [18846371, 76477608], [25808677, 65727676], [54926016, 81094173], [96858274, 34729261], [20196780, 61803095], [41185405, 18080339], [90466330, 87098971], [22123515, 26842301], [78709094, 67473195], [30292290, 80891304], [49462282, 79204129], [14295980, 50224518], [54872069, 57600071], [21955454, 16872359], [45672308, 32277766], [51806049, 22514885], [53155706, 51230566], [49108420, 60235989], [18588268, 4883655], [34274736, 10489827], [48530334, 66311859], [59861956, 83105640], [30166436, 89680320], [86860025, 35236103], [11780554, 86589742], [75235605, 28290793], [6116169, 21187198], [62402606, 50666995], [84578534, 68208900], [79487246, 79094452], [47571733, 36238809], [62523514, 65971963], [69692447, 49570472], [9233669, 86834877], [4324361, 69603299], [18854081, 38968217], [88581544, 28781992], [53728864, 29010959], [33936172, 27912743], [65993219, 72643167], [89055008, 90738386], [1757166, 26876089], [63306761, 69866649], [12270126, 69660087], [738903, 448560], [71057186, 68705758], [45840126, 79663576], [70661434, 25021681], [1458140, 44829622], [297257, 84452920], [4214234, 77788977], [12217284, 88901849], [42694700, 40563654], [17994429, 99353927], [83480632, 31966202], [11527227, 53223636], [80019999, 6750762], [42006107, 586420], [95452653, 68645216], [75589456, 9446958], [28785595, 94946016], [41443259, 85484707], [2552029, 7747914], [68877766, 86637581], [89503263, 49110256], [8211028, 39093280], [2219618, 38989264], [15193457, 24791335], [5527807, 2556696], [96763248, 95349609], [16610608, 77549921], [11457530, 51314071], [79409992, 96733580], [38513550, 67935327], [66590716, 89259413], [31708657, 95822262], [94406961, 98307096], [11906321, 55587392], [71492010, 35237602], [59116065, 81727574], [47259454, 37971622], [76908592, 93769429], [5123610, 2283774], [88229401, 17839875], [92300499, 7113218], [31967960, 67106008], [34147893, 75441524], [21235989, 57048977], [57396268, 75082956], [62731484, 57245808], [46236713, 9543986], [54815620, 10694765], [53114642, 86430857], [44050292, 48970533], [10343404, 32253426], [80155415, 2556599], [51974217, 74523409], [58623259, 56428218], [91442527, 6429249], [40842233, 95749494], [70225703, 32704717], [78997966, 40581973], [19365315, 17411052], [21401245, 92966711], [53625182, 36322334], [6623637, 88937552], [45764132, 13234078], [68705630, 73233724], [93558150, 32807849], [60641678, 46679983], [93946903, 51707281], [55630800, 74027736], [38569805, 99492682], [12731593, 8666708], [62689296, 4932397], [5369866, 92509353], [84313369, 50704880], [98123365, 47764356], [26909956, 43925704], [52349816, 92002940], [28313778, 34141073], [61677805, 80200009], [21732893, 13260474], [85722530, 13420170], [68736621, 79316044], [14176259, 84755727], [26247245, 48984489], [427960, 40649687], [59991151, 42862467], [15483078, 31750725], [17438702, 58914778], [65047638, 81509812], [16957616, 98326189], [52904159, 19501629], [81803574, 40863743], [32136542, 65746678], [59342428, 36119186], [18234193, 10160908], [63930293, 3763994], [34068232, 89793776], [95231896, 14644599], [18809979, 48435777], [26936129, 97526028], [35985491, 46102158], [36510081, 86193188], [27697292, 59662867], [50135761, 67405059], [56789453, 49949199], [9184357, 62060127], [15063421, 5850177], [19853440, 53172778], [44561987, 1825287], [21277399, 41949136], [81330833, 58543757], [2612870, 94574531], [59606103, 96903695], [57193442, 22534916], [26322583, 3740395], [47003494, 91668521], [5534140, 52071890], [23185249, 76185588], [82325775, 51056995], [87132931, 38793333], [11532432, 43744918], [16078584, 35387646], [85891494, 45397373], [54969475, 60630920], [64070029, 35106923], [25458708, 32744557], [33411033, 55738193], [79765625, 2905994], [62865640, 14896960], [58659131, 25297575], [20337845, 12429018], [50737464, 53048843], [18688286, 53210258], [36857864, 6992575], [36180106, 34560746], [76649085, 93341210], [39207719, 26965296], [99361249, 36758854], [43600473, 48906850], [46790875, 76888000], [16719877, 73509322], [76244701, 56197575], [48521877, 70153979], [40468679, 5053075], [77673620, 77955902], [79109017, 74302664], [48856621, 26202636], [67867701, 85472190], [16812164, 9833213], [27910630, 90817509], [4495935, 12115397], [94875646, 32640618], [63758202, 50528123], [63705989, 37107102], [8973538, 19228942], [24168827, 22522498], [77100206, 96850362], [87583526, 68853164], [16248706, 31598255], [8833618, 12261592], [4762756, 54316575], [37448041, 77945611], [74184643, 19830273], [56927605, 61920947], [74721118, 51668492], [53263124, 25540618], [41359004, 47582280], [92203062, 28279192], [74875659, 91981911], [90287602, 82572158], [37569116, 83457423], [43653954, 332058], [67622332, 95981762], [2414224, 51039928], [28209687, 65834423], [49633871, 46715118], [16146026, 99381741], [40346448, 29031974], [46766938, 5147533], [87102438, 92194929], [81043293, 1004586], [80608043, 11657846], [48859561, 30166496], [3575708, 62392174], [16001683, 58713677], [98837204, 45313847], [18687723, 81160262], [61915984, 6105850], [84340032, 32325756], [76725490, 3704821], [25942327, 83326393], [37117308, 15625427], [24247277, 96427721], [80429504, 65000548], [80677747, 9590156], [5904356, 21306318], [27279915, 96323762], [72631989, 20941221], [82500326, 3400661], [41119245, 79086522], [20576797, 15519445], [38982165, 56320221], [92586950, 87476685], [82500815, 71198249], [81373226, 25746968], [58135854, 50866492], [29177854, 15551539], [45382602, 58915493], [60339232, 2981026], [54108773, 97349308], [97470013, 19270055], [58604570, 65489368], [59558459, 63460734], [83030029, 9877062], [96911007, 50411986], [53382639, 20754453], [30894048, 45440929], [40790673, 51325290], [31522422, 70657654], [82065718, 22095770], [53324226, 83916], [83934230, 97217030], [98699320, 15841637], [35286567, 49816885], [47941653, 86906754], [50385283, 57514403], [84566845, 24610286], [20187982, 59610157], [69163168, 56658091], [98803875, 62093434], [29146588, 10224258], [72528225, 83496212], [90192589, 50075146], [1833629, 45252469], [76268637, 26995719], [28297742, 20922725], [34320559, 46761308], [66355275, 92616171], [47970115, 25607939], [14990082, 48688774], [45765614, 49408530], [60658706, 37515922], [21505268, 83838897], [13303176, 79476683], [45508170, 14177167], [75592151, 79356929], [65531712, 67145389], [29305205, 5226501], [1266542, 26204442], [87386032, 17079776], [46118691, 56419918], [55469213, 46583019], [91070263, 58799038], [30367824, 98718198], [21122917, 47667416], [12028153, 22485111], [41861573, 77976930], [50246375, 11195595], [47593723, 60346637], [5855503, 29825840], [89863198, 20333286], [34332658, 88241392], [93117802, 39037868], [93395264, 64965675], [47708625, 73466279], [30360743, 614736], [11920761, 65531783], [43368845, 25905537], [24299383, 60452673], [10474265, 49016642], [23143267, 96644476], [72186180, 11035351], [94588964, 95438377], [62749080, 84417082], [80566198, 59119253], [85053519, 11564094], [1635730, 57412438], [21397404, 50054770], [12170711, 87472359], [62335834, 53819741], [16884920, 97747636], [80061557, 40654349], [75888431, 88689922], [16928021, 5036653], [87115342, 31743328], [55723133, 26262502], [81513182, 46077460], [15901309, 67496590], [79746035, 44419798], [68758352, 98606888], [29860161, 54083476], [96839259, 57412807], [3853994, 66230771], [67371198, 5151630], [5351791, 54349280], [5981705, 49829414], [96088038, 4530641], [55771192, 95805486], [86032361, 35307321], [33341943, 13572971], [20736448, 60277885], [57608037, 24635859], [80428130, 72509687], [77390323, 48780629], [34743276, 4328055], [36959969, 49851738], [17809741, 48878441], [7452448, 21515208], [89875418, 30506779], [39391207, 76666546], [47327322, 20032205], [36285153, 57657413], [80581032, 74999151], [4262705, 74479063], [12446489, 30851724], [61021100, 94401027], [43399148, 17315052], [84005709, 72454989], [29552938, 58107182], [70572584, 62584616], [3823733, 13275394], [63644881, 26486598], [81817265, 31897139], [86660652, 3554221], [80271770, 85686002], [9491500, 77387699], [1248448, 76173335], [88258816, 67869900], [74262348, 21122337], [28590710, 61308837], [37613362, 16551560], [33041970, 47495579], [37342581, 99319952], [99514535, 7906581], [57167163, 26330517], [19288455, 36398772], [45465574, 22486977], [72812906, 5884282], [57502001, 28015489], [22587022, 91013353], [13255709, 55721977], [6121370, 66840550], [6062938, 66755250], [12593921, 9550432], [80293722, 24685567], [26422643, 39633204], [39800784, 21062752], [77822545, 4746823], [52086319, 67754178], [78508550, 15180828], [61709657, 10983433], [90436050, 14974614], [70684305, 79842875], [92165193, 29874134], [10155452, 69889604], [68642970, 23612054], [7973190, 75546916], [67770290, 68385533], [8201951, 82005638], [31850741, 28404538], [76946664, 34557509], [92568289, 19567510], [75106350, 6389849], [74148315, 65634422], [54322086, 7124128], [51988525, 28734406], [15084858, 1008892], [69249863, 24679331], [42407441, 71996735], [24009660, 26443141], [19862139, 44704659], [905772, 2057726], [1293007, 46935034], [7053033, 9532706], [5850849, 65517088], [57102478, 74669505], [88200610, 97259149], [9055226, 64486691], [93945681, 53911641], [21988320, 1338666], [12674420, 19191455], [54994312, 9403030], [29226068, 55859751], [44513272, 17504108], [19184402, 55114430], [49952395, 81278122], [52012157, 21919225], [64302598, 64361841], [42534161, 68010077], [91938154, 57781493], [29060918, 92450342], [75334392, 13912938], [54475830, 83041627], [43407954, 55477955], [56587171, 35294977], [38482131, 32838416], [30783853, 11549130], [11017198, 15753755], [29553723, 47288098], [62261163, 93653643], [79900415, 57581218], [91456164, 26272009], [3007727, 52861102], [41838557, 25554217], [15316994, 9457849], [22177927, 83518648], [83045821, 32919285], [34161095, 65435240], [57465966, 13288177], [94690235, 77794056], [29629648, 56889319], [4928157, 48679487], [55324275, 45169613], [60124629, 15177067], [57361081, 17009638], [51826825, 62047065], [51782555, 76001674], [56476558, 86709112], [19346756, 50487032], [89341869, 51173659], [70579750, 51901688], [23946477, 16710125], [11130505, 36679544], [20276577, 61703136], [58179248, 38453744], [21056759, 58946596], [89227532, 49543570], [18622182, 64662906], [76638872, 76220977], [3428579, 59122479], [87487614, 45844999], [58095772, 11601824], [53674039, 72853455], [6967619, 90940350], [92217561, 97421877], [40889284, 81814363], [64163903, 52610466], [11844833, 43260054], [82330476, 33322154], [44014319, 88099334], [71233865, 67874527], [3461350, 371426], [88895166, 93329573], [51400516, 4944908], [60257861, 48560451], [25296078, 33380260], [62840405, 65148372], [47091716, 82156566], [24592933, 85823174], [16137156, 63704414], [33041554, 10347780], [23510640, 30384306], [76888646, 14572818], [36191084, 38199289], [66378271, 36615099], [90575617, 29831085], [54740270, 19803653], [44981424, 6046441], [15896382, 32805639], [70413812, 19836384], [36759372, 40007327], [58610829, 66613054], [21243807, 83118510], [19697168, 71692231], [47827059, 38052843], [74261501, 9071627], [74422198, 46127560], [34933952, 63646874], [31984709, 2159896], [66956254, 92056160], [83094909, 13375162], [45489724, 1115174], [54096034, 28800389], [72696779, 92076607], [4927421, 22076560], [89184894, 78819680], [65866813, 11648415], [48476190, 29112464], [30267821, 50129793], [25339644, 61222834], [43226463, 8961665], [45867925, 81712828], [56216577, 8831523], [86321316, 37315877], [76480756, 8983372], [98724743, 38741937], [53827543, 34180000], [82861427, 89100279], [65999767, 55518016], [42918793, 22891548], [30927835, 19941981], [42992395, 53542691], [8598863, 36016170], [96575767, 66871148], [85219950, 68793086], [77546127, 76964038], [30103841, 84851048], [63391591, 92410238], [38052995, 41957842], [38280974, 93290690], [18894436, 7430570], [64580385, 26194449], [84087131, 98976885], [63190668, 9700385], [24343873, 37314884], [77301178, 44965159], [8301033, 90690427], [6148120, 74651909], [88904656, 39786121], [52866529, 9412570], [82805283, 99567277], [94628792, 86555519], [69857087, 18671972], [64508623, 24998718], [40614242, 36191440], [81817279, 78941197], [30877217, 15198759], [48772437, 2017528], [10770319, 13567411], [79839480, 5007312], [17910560, 49577866], [48129994, 10675488], [61990248, 91983303], [7186718, 16071029], [93635370, 53077837], [49883630, 44773767], [53512362, 81322421], [11460966, 68311445], [79839721, 3314137], [90902607, 78831165], [23837004, 76726976], [30387844, 52796339], [81526002, 32336166], [20503306, 13484085], [90504130, 57836010], [79251655, 11245574], [75172028, 99653518], [73694840, 62612614], [45253780, 61501071], [43351716, 21141750], [74986035, 27816170], [39314598, 13219728], [22732973, 52188729], [71564300, 19584883], [9025738, 28676785], [53568540, 44167257], [27549887, 78037385], [29004943, 68706477], [50198903, 57625391], [36238387, 18650658], [4326672, 89971477], [70077613, 84840889], [28276874, 60601686], [53329529, 58141767], [80060389, 75794492], [40742653, 91922779], [58686756, 54601324], [17887561, 2487199], [90997720, 75206041], [40345339, 201581], [44637838, 24302634], [30795293, 60982286], [89867334, 8752209], [92479043, 56426710], [58131730, 3246446], [16430214, 20563415], [50152280, 29578501], [7602572, 74723042], [26431731, 45935736], [46709619, 49075750], [43902910, 45032850], [35043137, 21957964], [87946949, 74310953], [99263508, 66502622], [32650566, 59642959], [19782357, 66862352], [8566188, 13717278], [13840816, 9137122], [55775632, 37552667], [64737654, 35155319], [45976908, 59747043], [65603037, 46830631], [35615647, 40762216], [57848581, 51691834], [47068091, 94027930], [77421213, 9233272], [93832135, 84229051], [20478466, 36276267], [25894100, 85434752], [50192043, 79000915], [25962898, 63041715], [47579412, 63575440], [24847686, 57263046], [84551590, 94289252], [21440370, 15121218], [28544584, 85599082], [11379744, 92173274], [33644643, 50434193], [73050271, 73769706], [18954737, 60465033], [8454812, 36214541], [43232733, 53901682], [39330138, 88523953], [89491489, 6985294], [43584443, 25867652], [3382146, 46246977], [57922168, 19947297], [52440655, 83658419], [43858598, 34551345], [66156136, 53978690], [67000139, 50880610], [32433185, 88623346], [37115135, 37442357], [77214250, 50008415], [16758625, 72551228], [87404200, 53468557], [90352568, 65360246], [42629982, 68892765], [37633153, 83093961], [65239141, 10285707], [33498433, 2667071], [39462735, 63175530], [86503421, 54219353], [32934481, 23765163], [27514518, 97156559], [82592513, 68066759], [33321356, 90520394], [58778399, 68845123], [12770292, 78415942], [65543194, 57363928], [86516431, 9294756], [90865026, 35859838], [73114836, 4995413], [79258057, 25512059], [65899424, 11473463], [27643854, 71702759], [7841632, 61671278], [11348581, 4662304], [95147709, 31071301], [4615235, 63229439], [77236286, 1326228], [55060400, 38530240], [97754192, 67549055], [11540840, 41332336], [92917942, 3586732], [89808572, 62374498], [96964409, 61964711], [15942992, 90253554], [31408187, 1590369], [92111310, 82776092], [45859817, 83885548], [99488322, 5636734], [65319671, 31505779], [66868832, 33853350], [92476588, 26169713], [29740182, 39557583], [44419179, 6535699], [20688293, 99031195], [72603479, 6484579], [4459799, 36636282], [11776979, 71768301], [11014946, 53446429], [6596333, 61620657], [83951879, 22363748], [78860901, 7429963], [960799, 38705369], [97801893, 74798706], [53169859, 55144215], [41181573, 30691089], [83154178, 93918056], [99198210, 42262764], [28116321, 26526440], [48939702, 2672601], [77110630, 8996570], [12602468, 62695768], [81026529, 74128053], [84617534, 86836661], [39164789, 44480411], [47652462, 89717539], [11269968, 81492482], [88677357, 35905231], [38693151, 73620601], [32049711, 60056306], [6634907, 8732713], [39965022, 83262118], [29554583, 77975461], [70800587, 53606490], [36665819, 51509252], [64978618, 42019679], [7931432, 39588213], [28909039, 36547047], [1511366, 37703747], [30609763, 13421470], [87959165, 31297145], [68412368, 14853101], [86846226, 97934053], [46352674, 63701890], [31292367, 77166702], [52604548, 8713626], [34159124, 57147536], [40655440, 82092157], [47478052, 8734912], [1775948, 26870691], [60299035, 75278579], [95133542, 58761417], [52617250, 37183969], [66895994, 66864541], [54104307, 64896756], [88172358, 44217438], [39036873, 99130900], [46976534, 85311456], [23907180, 61319965], [69167749, 10085883], [67011177, 11455055], [14354098, 48986858], [92313540, 23787851], [66261034, 10994496], [88208884, 12311609], [6664627, 53156695], [9162030, 18924618], [11762266, 99263601], [84867804, 97035963], [76925888, 15359851], [46916290, 17973865], [52226818, 55968083], [79392135, 23891706], [57118172, 89371206], [61042058, 42800735], [56003027, 33942541], [65658425, 90723671], [59979203, 8004326], [33752510, 62391955], [92308368, 60405996], [55254851, 95274793], [22823327, 35603466], [2804028, 65871701], [48029953, 63792480], [7280625, 12702756], [88243175, 21579994], [98120851, 14951790], [25907111, 88074386], [52732391, 39002110], [16079905, 68082412], [41368383, 21071283], [10744805, 13517389], [18921726, 48565896], [69259354, 90248399], [2858583, 91349002], [1430752, 770409], [35385110, 32637179], [23978756, 73175753], [83301532, 19188268], [45268185, 19201280], [88390106, 15769742], [99190283, 78705250], [23950599, 914531], [48636696, 34688876], [54286166, 88588228], [93420095, 45328215], [82321251, 76441618], [3230546, 66545107], [43489796, 56264897], [42291328, 56941516], [79773568, 35447657], [38722287, 50396443], [68532626, 47850621], [97711520, 99514747], [82766487, 15439428], [56104082, 85657052], [12469538, 51287745], [75765503, 2689940], [90086887, 60340351], [21277411, 68864009], [24040950, 39179803], [75245475, 25320679], [41513694, 86428883], [95456155, 99121326], [42861268, 69074706], [79961853, 86772586], [27709575, 50648745], [47445310, 48805097], [19184458, 9968737], [44239961, 49472263], [60215330, 78344890], [72675756, 52131676], [94437895, 61654509], [5206510, 50736616], [56332311, 97193866], [54976536, 34005495], [31066394, 52976497], [33037919, 12315950], [13786105, 35732679], [82898261, 39063125], [6689875, 26422367], [92569077, 57758655], [96312777, 49836826], [88631046, 64846194], [74788907, 46002670], [58359711, 67299089], [43372075, 71616911], [23292576, 4967411], [66458144, 66926137], [71769802, 55989791], [46657059, 14622217], [92811695, 24577778], [26576709, 1312638], [18416039, 57032402], [29380068, 94688219], [96177271, 95660702], [27728079, 20127561], [63832137, 2349452], [52325029, 9357929], [35076014, 492628], [93018403, 83611174], [87877995, 52595265], [96610991, 76693999], [46954466, 87222515], [20817989, 27092023], [35701308, 33980563], [44895180, 88824325], [27177888, 53376975], [2557825, 19995557], [61375484, 34374462], [92888355, 71570646], [31933917, 46858064], [255015, 96203843], [55680656, 8028266], [76533465, 32172441], [16409986, 27088557], [59327013, 28542869], [85866111, 14487196], [35097325, 89539230], [96414810, 75108919], [69088657, 38735461], [22972035, 57195536], [30399495, 71846136], [94660655, 76584917], [90221180, 3242787], [26873128, 76408624], [32241659, 47755466], [27323623, 75303204], [91129433, 85188674], [98045577, 30836007], [74013183, 91434493], [56017931, 49465477], [38069657, 24844796], [40118382, 71424003], [46269889, 65335069], [18008782, 44870524], [83778286, 7788087], [15609227, 28945696], [29032856, 20452798], [37653486, 72659192], [40153737, 28880507], [88923655, 88074159], [62113916, 1051641], [68319628, 48455584], [60063946, 54245635], [1575872, 92019656], [12690462, 64420151], [59881196, 77157245], [8902966, 2086196], [61144063, 56388313], [66783739, 37536107], [77911999, 59664764], [39942294, 44010052], [98394317, 92435868], [46734948, 36593135], [40423411, 54665384], [92156437, 72582606], [41258502, 46884527], [49281609, 90598160], [32452756, 75884363], [57939793, 22212088], [49957480, 99114669], [22668532, 40501387], [55610277, 16327947], [59435212, 96945777], [58308008, 35504654], [738597, 74151014], [94169715, 43409324], [3353333, 41540462], [98571432, 48094711], [96159056, 12752299], [90730558, 46433388], [46348577, 40739557], [22861126, 53572717], [82728316, 32063001], [5123630, 54517139], [285333, 99609769], [96151362, 19757598], [77744316, 37832573], [89908440, 1289157], [11560163, 87653829], [8362272, 49918814], [25625734, 11528840], [20595904, 93578547], [66129225, 16388399], [93273241, 85739340], [3820663, 6116912], [1874085, 69753135], [35239872, 23858951], [96995388, 54646055], [68070532, 90996159], [21331016, 63075151], [36651198, 70529161], [32159090, 20365749], [17849931, 10316463], [25918953, 39732749], [14608663, 71274958], [79296106, 93564877], [13332146, 27969481], [54446076, 17477928], [67600541, 93212248], [64810733, 50446934], [81135408, 54981354], [60655888, 3411655], [53739741, 68284960], [75525877, 66583520], [84110232, 62870167], [32194002, 39799614], [48723601, 77200316], [74255839, 92600502], [69850044, 43740359], [97713603, 41430762], [27876194, 76677384], [67765201, 37297532], [53731400, 63188861], [32351990, 40348441], [34629826, 13561599], [52269664, 12848528], [82397420, 13720706], [47782317, 26793917], [39441662, 64739564], [73483331, 18087491], [8585310, 88807534], [60698809, 96249708], [40141196, 24686316], [16812628, 18688794], [79848908, 798092], [31595091, 85463348], [3478098, 43632812], [51108163, 98416096], [96180539, 71732499], [8648378, 85447376], [24261828, 25362342], [11875288, 23654933], [33191748, 50000571], [76515514, 42355406], [83284657, 16810925], [48097363, 3211440], [37228854, 18856941], [36791021, 90832383], [46016573, 41611545], [66615162, 62440864], [87821036, 43134175], [53919410, 63295788], [85776151, 32477710], [68858648, 47871127], [85206350, 79287546], [40394511, 44420855], [66393507, 32170569], [28043500, 56655584], [41512437, 40729376], [81291950, 40396915], [49627264, 3319759], [59269928, 63231312], [59979274, 3634454], [80288070, 54637366], [38316966, 28560761], [25628769, 72973020], [32639224, 3645422], [98171455, 35236613], [80072868, 15239433], [28127208, 18935957], [96715843, 46741506], [17235654, 612592], [24352223, 86252702], [19156544, 95480306], [27092196, 34561250], [19375692, 8876903], [41864600, 20825009], [65630131, 94923860], [94099444, 64043718], [69609925, 93863304], [16661891, 46174741], [43644579, 8927170], [43132101, 86030588], [93301360, 17677311], [62594882, 91034078], [93126069, 2679065], [86004343, 84129854], [59296426, 82802591], [48301569, 93184442], [47790912, 94851193], [75387825, 74590476], [29036344, 6735795], [60301384, 73516828], [65541752, 60542748], [92702972, 31307624], [5560590, 93634582], [91794361, 43873617], [71710515, 87501483], [7470151, 99999179], [13180609, 6217635], [43486394, 23840173], [85412592, 59877111], [42962775, 8823879], [91888829, 27693054], [74386898, 80542899], [99744333, 34747696], [84261626, 57486056], [43601530, 74559812], [2500602, 48190006], [97317922, 85361768], [70849185, 75146804], [32495427, 26047156], [11537438, 20793607], [4828936, 48129185], [21349117, 82211821], [50816450, 53335373], [76313700, 26553998], [82306405, 5341377], [86212481, 18467749], [86052633, 92922147], [31221308, 48375111], [76539469, 16986607], [92228835, 89717771], [42535148, 48632029], [25860992, 89766078], [35242433, 32633885], [54967027, 40434663], [68311828, 10041587], [64914783, 71563130], [79112718, 77162491], [85695210, 85684369], [40567076, 34098012], [59439284, 44617704], [47289754, 2632616], [73123134, 74442118], [36860190, 86526563], [75236227, 93228825], [50820341, 83255648], [48970681, 62804404], [47829207, 84380570], [25899397, 23958262], [22179026, 52065912], [52641236, 95029799], [57237825, 52449982], [5880787, 12980111], [35244303, 22503291], [86920693, 44686528], [64315886, 58261185], [74462495, 33794667], [84677296, 12478014], [72810870, 68867512], [6882980, 85913680], [67101142, 39592868], [43627857, 18832982], [30563110, 21379912], [93441979, 66279344], [27921890, 47369663], [54180685, 23073959], [96849706, 21829132], [41894479, 8774816], [85261443, 13557184], [74126197, 98325079], [99614297, 87996234], [91557275, 69905445], [39796040, 76167694], [98807021, 47835331], [46662880, 92900679], [88399832, 39075921], [53742457, 32172014], [12300869, 40401486], [82122457, 52731862], [4524651, 63302295], [24139420, 9628056], [63042495, 9196434], [6302486, 23637608], [68089232, 19183960], [22314933, 35274455], [18132138, 12333966], [12726652, 59179255], [69440418, 33008371], [4124533, 79910063], [18782446, 96820934], [40816014, 685023], [50439114, 77495814], [78354238, 12118310], [64258016, 15263579], [17550371, 91089963], [41205658, 91283092], [51871, 18130553], [16112106, 71080087], [17375128, 65559075], [11772566, 67729186], [23746196, 35898142], [56642681, 19926249], [77656759, 31896033], [63318334, 24977969], [45950923, 27109083], [60750996, 55192632], [29918175, 3271515], [39726450, 58894622], [67835082, 23098944], [66736978, 63772046], [27285599, 73791614], [62409303, 3220764], [2471575, 24054084], [8077452, 77973795], [61422789, 82999523], [40149974, 95876323], [77168383, 53942565], [13350006, 53776145], [17443220, 32922964], [7811243, 80180786], [387842, 20636757], [22764034, 78975267], [6731948, 62398107], [47125923, 26191672], [3456513, 27179900], [18529341, 78403737], [5437755, 72835942], [51431901, 91166659], [90872024, 88900239], [39253868, 33459076], [21683824, 46670696], [75405982, 12174268], [49348325, 89905118], [39941507, 63549566], [84609582, 76835481], [54102083, 2749023], [62324181, 62685419], [25190168, 6077378], [7160395, 65564500], [79294642, 95634964], [36491181, 79507958], [75174153, 11121408], [45260342, 84324335], [16418787, 26928440], [88915136, 88472243], [54136326, 93739431], [28184831, 92377190], [13732004, 78875378], [34981086, 68531255], [17603480, 49747798], [64834431, 50779715], [44527138, 42925328], [61246095, 94814439], [64531123, 11862261], [99837670, 69178051], [67462037, 2852637], [85798492, 50268709], [98925571, 61128046], [38676988, 25367305], [61206277, 83709996], [10519904, 36420339], [24389520, 40222144], [12411102, 33985015], [58759952, 84719267], [37908186, 16060001], [40922451, 85625824], [22612055, 49865216], [15930604, 15629955], [46111382, 22634945], [24330936, 74877682], [9971996, 12949090], [37460005, 18570991], [37045320, 90078967], [85102558, 28519090], [53741394, 61543613], [86032136, 67137434], [3353714, 77931537], [53690948, 750336], [9479591, 5651033], [68877930, 43094094], [808750, 13124531], [20507077, 81564326], [66407085, 10744948], [22100260, 89742267], [75746025, 26206782], [15043247, 90978560], [89551604, 82082173], [91941879, 26958897], [22363760, 89448377], [51232062, 31850458], [64444522, 81824400], [42126976, 54825598], [15033206, 99717375], [48931298, 61520152], [17560324, 30100348], [18354839, 901443], [16821102, 62168109], [65688157, 33983268], [12608201, 26103104], [86528022, 49371172], [16428792, 78971728], [19445476, 12882358], [98934303, 94943853], [25315702, 1589791], [18587767, 29242472], [87263672, 57061951], [23293443, 95410119], [94987229, 50350533], [64582974, 41135718], [74984526, 94818302], [47521430, 17976262], [6241709, 6896221], [67353561, 78707194], [5229751, 61107688], [8891411, 95451571], [14110500, 17124163], [53086970, 11087294], [86436807, 29065917], [32610487, 22697845], [46759094, 94235406], [93692292, 95842797], [67882710, 90424176], [27758201, 82968943], [58556233, 28698353], [59603073, 54575691], [12345131, 84022425], [78473119, 79141485], [72065367, 95987476], [14417540, 57667033], [83510307, 7840694], [73541147, 48043228], [91063702, 50830068], [16389102, 56067609], [97574565, 29531718], [80335122, 99224288], [52296135, 68871690], [55672805, 6525512], [94205500, 4887643], [35190213, 8265271], [76574609, 202583], [53697870, 62092961], [26301532, 48304917], [95151402, 31705598], [75651943, 42024863], [67859996, 63389268], [7659984, 22199112], [26596401, 57157620], [47026503, 93931084], [38592154, 17092049], [49518691, 15348702], [70075601, 45139953], [59305163, 25442750], [1941555, 48704478], [6070743, 46522710], [63232165, 35870654], [94194652, 16598814], [88991967, 29512200], [67508409, 97337641], [24675540, 51483787], [12401323, 22011008], [22236523, 5711062], [7573741, 72223465], [46225416, 85582136], [62386842, 61366476], [65433014, 29757592], [39596766, 52529702], [49193150, 29800048], [10170488, 61745303], [51559838, 53274751], [51187815, 18830451], [82262247, 58033459], [62513706, 24178465], [49001721, 22307166], [42403725, 67498576], [63632243, 84733235], [28368389, 9098245], [44517129, 32490791], [44487025, 17471645], [91011446, 11568463], [16534648, 20693376], [47023875, 20181923], [81883514, 56720404], [85799814, 21066337], [21768607, 36453750], [75364443, 30556303], [12016490, 99776808], [1908017, 29124853], [96463679, 49045268], [21137271, 21549258], [76338931, 84054345], [74611356, 57171873], [88795607, 41970880], [1306273, 58808272], [5520766, 92754804], [76883435, 28615211], [8854897, 7576347], [89747360, 19888523], [92705737, 14873369], [65154625, 69238683], [83309223, 22827029], [347542, 54833304], [44321039, 3314949], [46181571, 56464483], [84518906, 41307009], [69677840, 83710663], [28770165, 47434389], [60092461, 72739096], [85068101, 92525282], [11043700, 20431588], [10387284, 89281012], [38736530, 38811514], [48212222, 17035687], [73305418, 16885321], [75622547, 76826589], [47130515, 17974400], [22859683, 33240755], [25739142, 5851407], [90594045, 32690502], [71738581, 61343795], [67778220, 98785829], [89742461, 82236300], [89855909, 73497041], [39215443, 55038823], [5983447, 25362556], [92743039, 42177790], [61661897, 86944628], [85448153, 47864664], [10613877, 22574570], [78214035, 28952187], [71015419, 88261617], [11389727, 79139420], [52150017, 8892148], [70270251, 16915197], [95772720, 58882411], [19968204, 84487022], [14711138, 24168151], [71049752, 83736842], [73503712, 42346215], [34218413, 21740834], [60652862, 8694108], [400380, 9649046], [4435131, 57408478], [26669741, 10232926], [28462200, 57332442], [31027141, 28201301], [18959415, 79549792], [59004424, 62181943], [30782769, 2172737], [27418703, 9957028], [79603839, 86843235], [90922415, 77401132], [81809022, 91435037], [30559736, 13238919], [2148076, 35054286], [11966697, 5279180], [65645022, 26106162], [53266996, 4170382], [74966226, 30456992], [48992125, 27235597], [91845265, 37701778], [34830762, 68777899], [44127674, 35888452], [48633406, 80430439], [55697948, 96855711], [15557943, 18578754], [17712196, 18936074], [9914453, 52263067], [6460125, 68553782], [14503990, 79674414], [70838308, 87075663], [98275592, 6304244], [72432334, 37657318], [26705319, 99065028], [46486783, 60512759], [68200852, 91705783], [33124816, 1396269], [82775271, 13222233], [76373874, 1987833], [90314247, 52650366], [27305238, 55201845], [78532598, 56075578], [38840141, 93767526], [62210197, 86198804], [9210505, 12975363], [6218343, 41010002], [15890983, 87860484], [95212309, 78071318], [13527036, 46290252], [3779380, 87730888], [81806307, 20256622], [50312703, 26866665], [75999333, 1460258], [50254036, 59130556], [81626095, 23391451], [93825017, 62779873], [70744282, 96172373], [21386350, 89272128], [38648444, 44886956], [71877594, 14291016], [67548485, 23111552], [52542284, 32474896], [29473025, 9398096], [6224620, 29712890], [26784776, 71619373], [44576408, 52972272], [42079796, 809561], [73656077, 4597134], [43961707, 1972665], [37910131, 32397463], [62044040, 92363083], [22813474, 10787356], [60549378, 86615296], [61448667, 90877778], [47247730, 65120856], [71950243, 55297017], [77621255, 84335822], [29716366, 81876504], [95816858, 80559393], [14679132, 82775959], [53202527, 99944793], [54483126, 17152366], [5040247, 33266408], [48642738, 9193995], [48326465, 6439162], [66973220, 20110749], [88656146, 97613960], [84922204, 58351825], [68847587, 90624454], [25328410, 46331911], [53203097, 84257342], [74305682, 50611890], [65450071, 58274456], [29635332, 887108], [97784906, 31496319], [16189918, 7599516], [49684163, 76808301], [98542281, 44903694], [94562162, 16748015], [56435605, 84684959], [41693738, 93514999], [78453241, 37743517], [8021068, 37473807], [24992445, 96306546], [60299787, 89329447], [29359500, 45813730], [90742359, 22820160], [98840793, 25553135], [60350310, 21446865], [15586885, 3825484], [5461533, 87781246], [27856978, 39742449], [73439840, 70326358], [87763339, 89825604], [75193739, 73642859], [9664606, 61424330], [44760947, 84689311], [79075022, 20362483], [33830673, 18606764], [45251766, 53946739], [17397924, 94014202], [29154870, 109125], [72826378, 50902734], [56192604, 61716406], [64547360, 10843104], [13389503, 6066464], [68489668, 36947728], [7043927, 38816902], [18050699, 30491658], [21167133, 5202770], [42455824, 16139688], [25717838, 77570164], [21200115, 2625519], [48834020, 46651760], [94086133, 5429850], [41420033, 32418563], [54259433, 98906815], [83036496, 19740175], [94611929, 2321673], [92874380, 10881834], [91891592, 33483880], [28355480, 8353158], [82097608, 4598148], [46544541, 67173682], [40082548, 15850722], [21571447, 93514242], [1525188, 4929308], [25547913, 57415052], [46149783, 21149320], [31777808, 73929271], [17067168, 95465771], [22712129, 52872158], [28062168, 80525543], [82266066, 70317712], [84242157, 43575873], [35188268, 69025946], [17096284, 49174887], [68668779, 13093272], [66295230, 23595531], [66459228, 66807748], [88384784, 38368146], [27008993, 18411328], [26459071, 29288467], [36995419, 53332371], [85581837, 58558432], [38854215, 43912854], [22500477, 6191879], [19782585, 47252897], [86213434, 44335673], [33806973, 93323958], [47629939, 78875442], [41937949, 62209269], [57779750, 94696608], [23378903, 37493334], [53713229, 52121623], [55030978, 14107730], [35261977, 27047844], [28412457, 10988005], [22787472, 60386441], [56752385, 51672199], [91891779, 90903465], [83010769, 64833435], [89131935, 7164749], [55183243, 85075080], [72050308, 79344905], [83034217, 93402004], [41559656, 49416158], [11708983, 69990021], [95036364, 84322442], [71127041, 42912273], [52210910, 41220074], [83192637, 45235238], [63044508, 62666146], [25064145, 16359875], [99783279, 42769114], [91126973, 35613299], [92598918, 52922087], [5943515, 19010053], [41855916, 23318046], [43827205, 65515557], [88529708, 9138590], [28430245, 39626293], [71630260, 71069225], [57890850, 24701787], [61222109, 83817008], [27584509, 81080833], [70367467, 58680579], [81187831, 4625289], [57917492, 38550779], [31221706, 60775990], [10267691, 53530850], [26308662, 90788538], [70100753, 50269574], [52836006, 75158688], [55765567, 87045988], [78931853, 2642340], [93538054, 84445623], [10409766, 53206096], [91756257, 61016652], [54200861, 92633159], [8484166, 65603381], [78846572, 7276983], [39460343, 93525], [10814941, 61927745], [5847880, 67134888], [53691628, 26612453], [25526053, 48344361], [37138591, 12356522], [52156512, 62811833], [81553559, 1254465], [33271415, 59106853], [79660677, 39800937], [57162668, 35198345], [87153856, 36332946], [82824448, 18049880], [57680403, 89452034], [26887819, 5670892], [35146784, 17693499], [66297728, 4855983], [32543452, 20146807], [71417210, 59969496], [14113230, 35119738], [23194674, 81431961], [25388295, 96202736], [65437990, 29145813], [11022816, 91915518], [52526607, 13748897], [89687199, 62194779], [41727615, 81726217], [95284019, 48228252], [23709112, 67947587], [86998858, 63181695], [93049648, 39296253], [31329517, 85961529], [25625136, 23904132], [13968131, 40823902], [90465530, 22691294], [54899162, 57751658], [8548991, 2775239], [12510909, 48400813], [47614828, 86990304], [36619121, 98091015], [36611221, 48166764], [4095829, 54648342], [34994522, 5920836], [44128458, 87112298], [90471537, 39468400], [63003753, 35904541], [25391627, 36341198], [20467259, 54531233], [77079222, 32443850], [17602230, 12845121], [42812121, 76874531], [72311898, 9215507], [51260807, 47801624], [38271085, 55029647], [32466132, 17872858], [31171266, 44233055], [7738340, 24616410], [29523752, 84158921], [35075745, 98349687], [22215022, 54269036], [40238007, 74675584], [3224738, 62516656], [37331043, 29260124], [83228911, 95843574], [54792917, 54756575], [19663302, 92478372], [52558609, 76444441], [31447749, 44917412], [75123566, 37343240], [42776248, 37258733], [23790313, 62584403], [60361745, 82103066], [12848263, 21888143], [18951304, 76005445], [77056461, 10261541], [49139049, 16761693], [98610883, 52440281], [79613963, 6430304], [9251177, 17107951], [88296780, 83579380], [55506449, 90699316], [79776034, 51132006], [42208793, 10330268], [83569260, 95403040], [16680969, 71528802], [81722947, 95154298], [65725757, 97309940], [42733298, 31562031], [16349140, 80265433], [62904681, 49977468], [61150728, 92585546], [39350116, 27008545], [68889504, 79736150], [62984568, 76200598], [81940582, 59842706], [22363152, 27082692], [89526085, 15490644], [83339481, 95264040], [17444953, 96367284], [65649474, 29351477], [94296824, 57931587], [30705917, 38817678], [29897754, 88077696], [26072272, 7632440], [28356106, 50734284], [44921486, 66145656], [65584169, 74129609], [62663929, 37688121], [54859119, 50503034], [71576032, 9648166], [9791827, 70802180], [53477917, 52551480], [21710251, 80086825], [57419731, 9960319], [29477501, 69351984], [91805348, 2082142], [25683434, 95693636], [59815739, 44176478], [26031717, 3674383], [22303177, 82949703], [47195525, 79984632], [18386842, 70513317], [7667954, 70352759], [86922899, 84431503], [57570893, 82369737], [15184583, 15663691], [12630505, 15436686], [91106737, 66543106], [17572264, 69597831], [5895714, 25101603], [76131784, 56690769], [52730571, 16974727], [42870014, 64023741], [88711517, 79885526], [16745153, 25259057], [46001514, 67468035], [79471431, 64114843], [70681774, 19152592], [93284327, 15112269], [80334827, 63186682], [9454610, 85805773], [86059022, 93917223], [52934003, 95372102], [31567749, 410627], [53841443, 32914659], [84594690, 12913758], [82768969, 91538145], [10311473, 87639676], [78228245, 55442754], [58630814, 85390208], [12163852, 50662544], [25368781, 25683666], [95105608, 92731828], [2938336, 65873563], [15765013, 17602414], [53550708, 58994705], [18226658, 80146174], [83942781, 71744466], [77758874, 76795384], [25916668, 70649793], [47248212, 23193392], [94477721, 16601305], [2850250, 40338172], [31039785, 48271803], [12874367, 48634670], [24922830, 67455655], [59208526, 68823220], [91152680, 81663439], [66339794, 64757952], [44668205, 29265186], [192430, 41680448], [60995119, 64143256], [74773263, 57696519], [58398569, 35745942], [53078487, 26742561], [81845896, 25952036], [29884754, 96287747], [40658942, 45115358], [43756015, 88496327], [6064733, 90311856], [8274709, 7856688], [26493783, 15964376], [77790382, 88404864], [56126976, 8865702], [18113242, 94249535], [41077646, 43458318], [87848670, 94200843], [61886121, 3071862], [7017330, 84061619], [69986106, 6590333], [70448712, 76100809], [50276259, 79397868], [4559720, 55360725], [21306244, 73778575], [69692967, 44106974], [21719838, 4549480], [35561679, 73843527], [10578213, 15675864], [82285796, 46531366], [47553638, 52059225], [96562245, 9091097], [33575, 35004394], [28828320, 54906062], [83700905, 50346908], [13778020, 49383429], [39335725, 56096403], [6365549, 52982819], [37437342, 41176476], [18172971, 97673899], [62442119, 64540880], [29776558, 31864165], [13524842, 27268965], [59356518, 35368595], [61097196, 82709567], [38888185, 90782480], [39035565, 34706033], [12930312, 57449718], [55212751, 91302380], [57332580, 86049504], [50599063, 17228432], [42699558, 86492772], [36862245, 78304539], [59469979, 6207087], [4053270, 15655833], [3054599, 65276109], [22160941, 28178995], [53627870, 13664673], [27217812, 26158960], [80578027, 27660294], [3085467, 35154676], [58210817, 50747509], [52469234, 67239650], [72730989, 45554231], [73405048, 37305226], [82375521, 96252675], [66900569, 22354598], [86935748, 6058590], [13437099, 54609146], [97161608, 24477011], [14491990, 97708873], [51536299, 37726613], [13876994, 9503883], [93584877, 58216390], [82962198, 14997561], [91355769, 78530006], [28796267, 20817049], [6586214, 12674371], [29338683, 45489647], [53587295, 36120713], [58855600, 24956177], [74960867, 89067907], [33310549, 8581486], [83584481, 50931181], [55895779, 16134618], [708314, 87204915], [9489182, 74149841], [53693279, 7129744], [10188816, 45758919], [26220325, 82453258], [31097643, 82637786], [3130465, 79570326], [78956536, 12349034], [25127996, 78151340], [12817943, 79955646], [72840476, 98372208], [35644608, 6862921], [88421151, 92589456], [73776148, 55057520], [14053639, 66092463], [59497498, 12481651], [26480079, 28850689], [80415339, 42706072], [27039110, 75963725], [46671281, 14373015], [56813749, 17652772], [86963317, 63108131], [70640164, 72929780], [42337451, 27807], [86465575, 91349533], [38485524, 85784413], [84289710, 8437523], [87385893, 32046604], [64014678, 24589782], [6824571, 46482835], [71951068, 78451880], [70174319, 65748059], [54082344, 87694066], [90845746, 16390732], [14486951, 81899669], [32295807, 18839691], [78841536, 32078972], [50462346, 37242425], [21637898, 60081334], [96172824, 41559970], [85571374, 12759435], [30643479, 44356258], [118210, 47576561], [53061825, 12319005], [15641101, 39700275], [46700912, 60258501], [7350347, 57591502], [14580516, 68734763], [68629271, 27272916], [96427550, 41561752], [89493772, 29392793], [40579062, 96940291], [38442888, 15075566], [65781017, 87067178], [33963465, 46255951], [40793974, 16801634], [49824342, 36896385], [10804629, 80477665], [28089927, 97649736], [11959166, 68302100], [62891879, 19278452], [16757245, 30464510], [99524072, 44832336], [23568404, 82508504], [97850527, 89073277], [34588594, 97333622], [54002180, 19261275], [45609001, 2935829], [39462226, 58140010], [36375054, 44622560], [2049167, 57255172], [58618353, 1380905], [60724479, 14067017], [67365086, 89067436], [29504041, 6051751], [67505273, 15024008], [33556115, 84387488], [30172478, 39428013], [76655756, 46203259], [4876695, 91708335], [39910700, 15161346], [82789806, 68130565], [47324190, 82816360], [75064190, 75662241], [99467753, 912159], [95639082, 56493121], [39915384, 33275344], [75776847, 25817388], [5552098, 25045847], [25474751, 37953223], [51242383, 11412614], [33120805, 18976039], [79394007, 85006297], [26947131, 30582731], [66442880, 41519397], [48472801, 56381037], [55101940, 13414009], [12471357, 51045183], [609800, 39420661], [60489830, 43924506], [52038275, 41974864], [23322576, 68468528], [75039180, 79189496], [29086189, 51023905], [31620835, 13383858], [57776544, 71394547], [65375390, 53557454], [82788627, 86110809], [22635126, 18095062], [15827811, 68171653], [87647797, 49739770], [81234411, 71849909], [71690482, 82271118], [49534036, 30610409], [53416698, 32096828], [46193117, 78272299], [83429826, 8323941], [88036229, 13558099], [86543132, 74842543], [2975135, 40742184], [71295628, 1175350], [14267580, 24823341], [94143446, 38515928], [57200639, 90741918], [22666967, 21823289], [95162349, 62040543], [33307135, 85922528], [68882867, 85666765], [91119689, 8632716], [13562407, 14796471], [75029155, 94210706], [14650826, 28814000], [19479329, 19346611], [23512953, 59374291], [95646145, 30908561], [63798460, 47549380], [64372994, 31159863], [15951723, 23450268], [17123862, 31246597], [61009841, 8397819], [92634895, 67757578], [38208056, 33807478], [8067274, 61844210], [70179593, 48496565], [28364172, 1031480], [61655980, 31973234], [14318303, 5877413], [48728922, 95815172], [42150388, 22130356], [31961946, 28840101], [49970339, 78588305], [37555111, 81560819], [11426349, 65228939], [87130687, 89614266], [65448281, 75676466], [8374096, 25141879], [49051220, 26312999], [5709390, 41165476], [41208382, 10661014], [29897791, 80643345], [23678574, 64814291], [37222256, 65447966], [47404114, 22635748], [5677309, 99356606], [79773637, 10240789], [56377486, 6109470], [89922390, 11767933], [59718746, 95546316], [19574661, 24133934], [10627262, 69536742], [10486176, 92441563], [16379872, 86744112], [28873984, 32252602], [1162735, 14576626], [74231479, 13825662], [28874312, 98929010], [78682865, 3954982], [7708436, 69945523], [85099437, 51174072], [27872117, 92376056], [73443556, 27393304], [77966706, 44165957], [76848175, 55519366], [48071982, 28190149], [16271275, 85715921], [19614939, 80736194], [49506247, 18807704], [52166818, 95864274], [14500846, 84011770], [86428312, 28856665], [2150743, 71415190], [19031858, 2170415], [92465908, 52288986], [45776422, 3502985], [51742790, 72721542], [87090308, 85912647], [66732124, 33540900], [61102155, 84092046], [39838682, 19146078], [54272310, 20399058], [79424487, 69320090], [10488806, 39059606], [28465323, 23041938], [31248882, 31776496], [18827497, 68209085], [80149109, 99893558], [93745291, 11775525], [10209132, 76941275], [70969531, 48646958], [62596649, 20016131], [29027981, 38612181], [13405580, 60718852], [32393920, 28022578], [17246658, 40483069], [1197795, 28595491], [20107122, 47257379], [68091165, 9293155], [61034057, 50519279], [75314114, 21403202], [52724216, 66716257], [71643863, 81203227], [92961532, 90780365], [65647363, 28541375], [97425346, 52159314], [32675180, 70106667], [23060535, 52670110], [85162713, 9866548], [35803784, 4021002], [59820314, 38490674], [24507265, 31414706], [28795704, 74129221], [56460870, 27986357], [72586856, 53725146], [54505651, 13772432], [35306632, 14002491], [18529088, 64281625], [67707400, 14465167], [66385190, 64672057], [33265316, 42573751], [73686895, 77593271], [71307571, 53749175], [6284750, 81656354], [39300084, 85802884], [8651016, 59903575], [85539863, 88215333], [72891427, 97587339], [1167682, 80211316], [10137903, 71389624], [41969067, 45679924], [49118772, 21772146], [83911818, 5875368], [3702304, 59261586], [98360206, 28271132], [18948533, 5887953], [66764638, 8342762], [67724924, 41232354], [28972502, 82065516], [42966590, 62481792], [35537282, 78952965], [46401801, 39693786], [98576753, 25217394], [66759342, 66175619], [26313677, 13288947], [44854673, 68991379], [65518577, 64164976], [3859414, 95579421], [66215689, 8370969], [74487958, 65112095], [4583796, 33910507], [45524108, 19651020], [11469756, 79726457], [88093627, 47351138], [55653586, 9752506], [56412055, 94880134], [46469472, 64472527], [12697122, 73131640], [18184598, 29432066], [73529523, 12191233], [62739722, 13222227], [2755564, 98797551], [46253711, 82954602], [90362234, 6232489], [18234670, 44418024], [45329524, 53773369], [16923839, 57243816], [35282649, 88446772], [72659382, 22863815], [44046804, 39660847], [61313880, 95635643], [88051274, 20279634], [51586525, 84057773], [65848709, 29488721], [50875797, 28458086], [98713748, 64001881], [51693608, 82689569], [15094877, 80080187], [70737224, 37555730], [20093126, 95717644], [72596778, 81656723], [60169812, 42083004], [76229306, 16668466], [16674451, 94081676], [9659014, 60505232], [36752588, 35034655], [9646878, 24226601], [1490995, 86954277], [3510835, 839100], [21801292, 76137124], [85474477, 747533], [61448045, 66386173], [63643752, 16110637], [79893597, 90524448], [72489551, 36831241], [83491658, 80642274], [26974188, 69795982], [95142238, 66191280], [47765977, 41532629], [21148353, 49964199], [1413405, 61667898], [60832993, 12896632], [45470992, 98395015], [93676716, 68985806], [32628809, 90307516], [31842010, 86203824], [66508868, 45381468], [48682281, 54622925], [26263599, 20276027], [85712648, 61673562], [52527387, 89675727], [17747118, 49272086], [18472950, 34675043], [7265827, 32147032], [60685933, 91450010], [19935317, 13017743], [80967082, 10036712], [76672674, 10126925], [21471074, 93371122], [34269897, 10426529], [67748956, 85504054], [55815898, 22695219], [28267780, 17461268], [98392433, 99458198], [40074826, 27074625], [31726619, 27431606], [61606240, 4036755], [10909765, 39514487], [78243127, 94952612], [2813352, 52184697], [65891294, 47435971], [1414647, 4544463], [90034066, 39028209], [59936603, 31437151], [55952990, 80879297], [31067688, 45232603], [63682234, 68629168], [31898532, 20004022], [14587453, 42016373], [7153484, 56559101], [9137244, 44144993], [39678043, 14185456], [32035898, 81976841], [30378188, 82358178], [89967870, 96208586], [97808045, 54595214], [85951663, 99308137], [16769099, 66965614], [38900369, 2518507], [31913706, 53574086], [53127972, 3934726], [17338246, 2783575], [51556830, 8885180], [89498261, 65375392], [90067524, 33760938], [43828831, 89959196], [97954110, 15026270], [8341635, 45790211], [15613030, 70905726], [60035930, 30464429], [5855759, 73654892], [29025376, 41178924], [9662296, 94826486], [62825958, 21858455], [81471662, 26572769], [65723731, 95774851], [10182049, 71019509], [40312856, 80487693], [81279210, 57139946], [35677648, 13679318], [87784982, 27823324], [25899017, 86967664], [33158321, 27227027], [54167182, 37417029], [48406187, 24042767], [15568636, 53326794], [18671718, 41911824], [1145645, 90780199], [57289453, 39593061], [30891557, 29525540], [89774263, 82448981], [87305865, 73929056], [61486297, 74090411], [4084566, 80527044], [36582426, 86502791], [83582878, 55295180], [426959, 44560442], [43872619, 93704470], [91179940, 32286383], [92916247, 63981107], [61824123, 35409948], [69752910, 27346289], [18612208, 8141159], [22511743, 72308150], [74948577, 7188402], [48912783, 96901929], [63426379, 78164654], [9860249, 83070688], [53571171, 54107058], [71210169, 10954924], [73249725, 55926672], [7941182, 64727110], [21188635, 43681118], [2666978, 16156026], [70599710, 45312768], [59203813, 62303067], [36138105, 52673350], [77986784, 1598505], [38328608, 40869238], [16916269, 74155067], [87875691, 17166114], [63115152, 39006698], [33827465, 29565849], [17381126, 57472942], [36924158, 15321228], [40581161, 62068654], [79295732, 83658820], [37422932, 70406290], [23898259, 7526027], [8165349, 72643076], [99793473, 70484488], [79475548, 48035889], [96972722, 16234005], [33174365, 16813910], [76158176, 22103549], [29749095, 10831174], [10702415, 11761360], [30868922, 93634610], [35943182, 38963659], [43171528, 8516649], [84471563, 56353768], [25698936, 78338014], [24842289, 67531984], [44810843, 58303940], [67491984, 82904342], [89172213, 22393050], [43685689, 44137374], [23115833, 24455197], [38199342, 49595838], [57289119, 52314090], [24491814, 89328457], [74046054, 16367465], [34197796, 19101656], [58187793, 79038302], [54835480, 16901716], [6807586, 60709127], [95695237, 79011637], [91409702, 30877841], [69791566, 49717760], [39225975, 43319217], [20962650, 68535461], [30478891, 94247732], [39845566, 14819994], [10543352, 71755216], [29337359, 85037169], [14009968, 47368999], [6775822, 70520956], [75991382, 50989430], [95223870, 97007978], [15249250, 21191974], [8883576, 41435580], [27183567, 85972684], [81325413, 45539191], [19056976, 12428936], [18318181, 82811723], [4874228, 99383933], [40547996, 85388299], [8645401, 90121422], [42273791, 73760827], [45614259, 87690658], [46032446, 16338049], [62733127, 77609022], [56500204, 14615207], [13379174, 35200827], [23317394, 51396055], [31885308, 51553107], [37489355, 90786046], [74094490, 14053828], [55108804, 91372833], [50941131, 27119518], [51240598, 11434580], [43838240, 21481308], [98318773, 1501718], [32451488, 11495405], [36400149, 42366287], [21161670, 44170009], [21333936, 69859667], [49407127, 79851554], [44434737, 45122370], [31877708, 52414565], [40230316, 5789986], [23361634, 15480432], [38904591, 887872], [418194, 64920595], [61552211, 36765437], [53892370, 36098440], [2984064, 17332958], [62494141, 60316723], [27599312, 3774542], [52485219, 20313486], [80627976, 29391186], [78359743, 43484464], [6072279, 97092564], [57997619, 58505285], [57707575, 29270764], [73818233, 53488034], [80183773, 55205545], [90854, 55793852], [1175441, 65970886], [85993123, 2473966], [98652249, 79934555], [50927918, 72364222], [35435001, 81342220], [39614208, 54771865], [42657145, 81660275], [70323925, 35695954], [41855982, 63408442], [86561835, 23796317], [52276147, 47458647], [844417, 8588834], [51797732, 28272559], [30970523, 98318747], [24848169, 50754050], [13941523, 19662699], [90334397, 38496481], [99561419, 63916067], [83885248, 62388649], [19429814, 13529282], [49121474, 6226048], [69987568, 22114136], [14012280, 80263145], [77183596, 53719143], [40354497, 54024638], [49870590, 48491519], [68975860, 53146820], [40931929, 52833829], [3875216, 74849796], [63885709, 29580340], [74170666, 70633876], [70785430, 85205458], [26218868, 56499248], [58187161, 23414786], [53375193, 63145196], [10907601, 42444516], [86767757, 38581039], [65541543, 29121142], [22007206, 44569914], [87208980, 57617529], [40039086, 47806262], [85067253, 26134442], [69276433, 30037728], [87948535, 4313872], [16265590, 97277622], [10418041, 85714845], [24737272, 46589146], [78758518, 91849223], [10539541, 14162168], [32812637, 24124544], [62491726, 19359816], [31667765, 72606938], [39518982, 41859390], [44105888, 3481733], [2838863, 65306686], [43227758, 7534306], [14403533, 37385877], [38922699, 42588259], [90007473, 22067996], [92262838, 87837404], [40324921, 29667085], [67945055, 5566688], [84989239, 78802917], [78212086, 76772555], [15745637, 14654660], [44020008, 5426459], [92769137, 88638788], [3128100, 42920597], [25553459, 32974679], [75760060, 82188112], [53525629, 98869926], [69089789, 69821617], [88570852, 95588923], [32432344, 20429500], [58259975, 98388451], [16616239, 63919380], [67150796, 83253626], [6042108, 71416087], [24685120, 22379613], [35981914, 54267795], [79571503, 92927114], [97575625, 76415883], [27876726, 15731106], [77384727, 94612150], [28796785, 49463642], [73460530, 10451798], [44303681, 49774819], [25706200, 14528100], [64099936, 94367530], [2883069, 15118107], [94160589, 4891459], [54054566, 72355633], [4997645, 42438778], [11221382, 509961], [41284541, 98859655], [14176523, 67710383], [62198287, 13705861], [4746882, 1965036], [2145548, 95936853], [14184476, 54102303], [90842105, 40561305], [85359245, 30426288], [28927481, 31742900], [27976532, 33035046], [8214979, 37362814], [49579015, 82668279], [17643773, 86670509], [77978712, 24145455], [75559704, 9498193], [54194314, 72399518], [62929266, 39792840], [81213559, 17418028], [28064825, 6494037], [92781648, 10975156], [39748948, 48942205], [25637028, 76423013], [93160953, 17788759], [27923851, 43019348], [62502060, 61811242], [37367242, 63521169], [75212641, 30197622], [73120814, 70901315], [21284460, 59027769], [82938896, 98296507], [56556480, 87022044], [83969566, 30425146], [5749095, 18808491], [97723249, 31178257], [79004284, 35931696], [16893601, 5852886], [16903499, 66132875], [62387143, 56637888], [3702657, 39805942], [95441914, 54301834], [56664561, 30953002], [47301021, 8875862], [37609958, 30667795], [97301042, 66590328], [26821986, 12782923], [36961977, 53472807], [19330151, 95573013], [99354747, 81764698], [66659398, 43620074], [28627469, 45356689], [51985701, 66477147], [64148500, 91985836], [39312554, 19858658], [26026171, 26971915], [82765603, 58238291], [86632124, 38611308], [35207999, 86907116], [57431807, 54411453], [98832100, 46631348], [97918273, 41661516], [76531725, 19943667], [63437132, 74610940], [58279593, 3643036], [79080814, 54218600], [44836840, 92986435], [90791285, 87806673], [96284697, 87818078], [6216641, 13544333], [10083978, 88593118], [49426645, 32513718], [95341311, 62276138], [6450007, 87368833], [15963676, 76891336], [70740950, 57731442], [68152968, 68013381], [14643070, 58586719], [82671348, 9729859], [56269583, 77741898], [18653824, 34634700], [32630645, 117589], [32665285, 67751007], [29798548, 14524633], [79828912, 51056910], [38065872, 52865937], [58374043, 62577416], [567995, 7640323], [62848117, 13621462], [93594696, 78580994], [73168678, 42579629], [34307703, 14881639], [44664222, 74959908], [4217648, 69115255], [50830213, 46840572], [2543360, 30323433], [8037361, 7540839], [25189460, 25222178], [39969319, 1244255], [7404737, 90255458], [44314399, 18767377], [27186971, 55636171], [83610776, 6055446], [18868741, 65553894], [51072468, 69912229], [53003273, 77583019], [71272222, 20246008], [70905038, 90384332], [99687478, 29594809], [18951821, 74281173], [18349741, 48357057], [91941043, 42937087], [60035644, 91289934], [48995947, 95214619], [16325446, 25260767], [12055584, 13960156], [7414631, 48415312], [35320506, 52766980], [82090297, 4803690], [22404731, 2734716], [95832041, 35198043], [81578555, 35580557], [69752548, 8481959], [12582771, 33756719], [17173799, 1324284], [76218064, 83509141], [64582644, 5292129], [4563863, 64568496], [99367627, 63471713], [11129632, 36283668], [15441033, 59597985], [77527376, 23678941], [95345987, 29428322], [63934671, 12460892], [84876465, 23483103], [59385089, 92822744], [51552431, 29987572], [72158533, 96750122], [77299430, 35589262], [22000399, 76497101], [75672116, 88275935], [30644735, 5358748], [5414361, 66188656], [53232640, 30086364], [13434157, 60633091], [98705274, 81456340], [76615472, 56334916], [8179201, 20286028], [76782339, 6147742], [45796033, 50080252], [30771774, 83814427], [86775976, 32486309], [92456093, 97231151], [81945763, 43412637], [74099423, 40849181], [16084699, 39219629], [46307262, 42932211], [41569146, 29297839], [67797216, 82380518], [51810747, 82645822], [93885181, 17461542], [91051991, 30502051], [4869098, 56137260], [74473733, 27074808], [20362846, 39958589], [79523161, 22084636], [593843, 79398585], [56274187, 837473], [19424242, 23574075], [12385119, 12725717], [21656643, 22004530], [49467997, 35556266], [69363368, 90044865], [47614663, 42502156], [68240606, 71297860], [85609411, 89567487], [34270228, 30926013], [28176598, 36706452], [27249450, 24190343], [95481418, 10427842], [3268563, 78416144], [98997925, 99173647], [50201592, 86801026], [42627391, 14636491], [24272660, 97241529], [65460218, 13691498], [9616235, 34865149], [77331864, 48644410], [4231296, 69457023], [21019412, 97579786], [1292370, 94948081], [91932334, 52726609], [64012874, 6475021], [80967753, 73647136], [62165448, 4035245], [48764596, 62348538], [16479841, 17971790], [62484080, 90044890], [62951895, 39557804], [44631619, 73584371], [7388359, 57225341], [72074998, 79055231], [31557042, 42164903], [18970358, 17108332], [21315529, 41161640], [61896580, 58658210], [51780257, 87960510], [85160015, 84549751], [53031832, 1775795], [50863312, 78689435], [94513547, 62836432], [16292042, 14071322], [45044433, 84885328], [95573668, 75214524], [67985310, 21647747], [46944985, 81483814], [11823247, 71318389], [96053734, 42291130], [78283145, 51787507], [28243527, 15846585], [72312902, 35361899], [90074153, 24665766], [19041365, 65279865], [81420541, 99810632], [49529050, 83855688], [47660286, 90491071], [81663323, 50071847], [45627084, 62377002], [62631357, 53952611], [29164451, 23915873], [21410022, 27682062], [94045684, 23906402], [7134454, 61497915], [28185310, 54862778], [63783867, 42293863], [71191866, 53976996], [40589861, 65643200], [24230625, 20758230], [99206217, 61931055], [62459952, 61079358], [20793410, 74266692], [47465909, 375481], [27437080, 28293938], [59529863, 17386364], [67732070, 38208622], [43656614, 81415316], [14198805, 6395708], [99634468, 93245554], [80402886, 20186822], [34313067, 1531076], [96319193, 22380260], [62560871, 44286561], [56482772, 76211734], [91933334, 71781523], [16921010, 28499646], [69017958, 71794286], [19651271, 62258299], [17504277, 22196131], [7177788, 61175122], [17870238, 52083487], [71537579, 23324286], [65927392, 4764495], [49037101, 66919067], [28088884, 28242655], [44745446, 41627796], [64401658, 1168994], [61433358, 67173517], [90615737, 90448440], [81927900, 59613330], [38258967, 55786463], [3252532, 68404454], [74358814, 95491788], [41846586, 93034031], [66244308, 54459806], [48535632, 96359127], [753289, 22318095], [34242489, 15317911], [98386762, 81060542], [71195430, 46210150], [46234823, 89770534], [19279040, 72942510], [43751207, 37454126], [89333078, 42907590], [53861422, 51961623], [49516464, 82418817], [16657612, 18686281], [22015719, 54312526], [97377905, 35239861], [83249871, 59612018], [29496925, 1116866], [89286139, 37536498], [73859859, 94189857], [42707096, 86163070], [15787164, 29029194], [99330598, 33983029], [87741323, 27849141], [764163, 40837295], [56730046, 161811], [61728685, 9893122], [79808304, 76725892], [81024477, 11568227], [87860159, 96999971], [96344967, 23824341], [91693423, 99497862], [96706606, 96118264], [60967464, 42518398], [26517676, 65836270], [57667966, 73006524], [13521946, 11730568], [47265655, 99058241], [63121087, 18147617], [41730807, 94491021], [20323474, 92541761], [80044612, 5470331], [51961199, 34472709], [80624379, 35863170], [51498858, 75995207], [45479134, 12328746], [12757196, 93975995], [26182741, 42758064], [58746142, 84020737], [15742215, 31912782], [51310846, 5260049], [7597949, 88914257], [14776281, 84807343], [56865287, 32013038], [13018556, 93071382], [40222494, 26879988], [34147560, 85147355], [87605738, 98935402], [14981673, 71328806], [25790168, 59832672], [60196551, 76627352], [33535463, 79410010], [71695223, 86827126], [1522145, 76065591], [21981293, 24944409], [62544255, 18810990], [50213492, 16899194], [15796212, 90085534], [10083805, 48046565], [90309569, 73701607], [29976293, 19371795], [18644228, 91768253], [48276008, 29471710], [25141780, 43241488], [35447691, 60611203], [78713365, 18931430], [13986180, 60331686], [95920009, 41868537], [1118535, 70626536], [85583712, 74164116], [79433397, 72356320], [83788413, 9957438], [76058435, 72665395], [96513196, 9796919], [65456147, 33581433], [50033623, 87074317], [37571633, 83030891], [36819641, 3837974], [75559328, 55190883], [43188361, 68064180], [14056537, 61635004], [76369840, 61952387], [72311269, 26080941], [54478116, 74686269], [12805836, 25380555], [12680237, 16127214], [93972290, 2551071], [48557868, 86911861], [76704653, 32575231], [85872070, 49445150], [13750092, 74155079], [56828050, 79666148], [38596591, 15164678], [34750227, 43121732], [58844634, 23269550], [50706743, 56387904], [5964876, 42448041], [13616278, 50446129], [65769085, 95458126], [73314733, 50406908], [54823845, 68544558], [39149961, 48680262], [27881045, 87201161], [15430388, 8806388], [22292235, 32392982], [92199417, 60331279], [21000989, 986055], [42954892, 15231240], [29851183, 6587456], [19679045, 7381941], [96124729, 82016071], [10746383, 74525516], [60946665, 20532930], [31973347, 3839741], [95244804, 88427091], [92856923, 68358804], [13246511, 37364948], [24639332, 65597710], [97277445, 88640403], [46891199, 77819304], [94897942, 68010807], [78606666, 53966481], [10289050, 2585220], [26300529, 45232432], [51198238, 66809187], [21215639, 91154067], [26242058, 74651885], [17721796, 31432124], [55289410, 27846852], [79379025, 88025449], [65441586, 55035332], [60096829, 5547853], [87742799, 14461784], [84407918, 70081800], [97346037, 88150252], [14287449, 30498656], [8548841, 9387488], [49508577, 76647294], [20933213, 28248421], [78974741, 86234680], [79159620, 36535267], [6537823, 1266116], [5807024, 82828339], [28034005, 5091324], [49686667, 64189998], [28532441, 32474635], [66477166, 31839575], [99315656, 30379542], [8943977, 9496609], [65208896, 17088303], [23966542, 70539623], [76888749, 54734099], [695798, 46802604], [50509151, 42791279], [4148542, 54884098], [58984297, 32066059], [53165906, 27732806], [52735465, 73434639], [7793112, 85560912], [15708122, 5756716], [82944934, 17338833], [40939652, 29898647], [29458867, 97146541], [97812380, 32448058], [23792113, 61305965], [20888925, 51322862], [21672329, 80115913], [71104542, 76999721], [76871080, 94691932], [19945221, 40213001], [81325904, 45321748], [51515068, 20184249], [4697172, 57890438], [68664970, 12372972], [42322865, 67701089], [2070230, 12938251], [36360253, 19255538], [15730773, 43057174], [65168318, 85708396], [22096197, 52725843], [965337, 8116173], [41022700, 49139248], [73453331, 38162366], [63654125, 37702610], [10720767, 6356236], [66004479, 45873788], [24879732, 67504280], [30881913, 38051984], [68997880, 6530977], [10536517, 84709352], [92420860, 22513531], [77468052, 4545717], [66943433, 48828794], [31366908, 99258423], [41817685, 36966259], [67592243, 12028227], [37253192, 29602695], [67549441, 51306236], [28390207, 40236902], [37061273, 28341345], [55867142, 86404614], [50594992, 95451152], [96471196, 25739597], [6254626, 87657164], [2492256, 15148918], [79754185, 83813199], [90504319, 21451832], [36945887, 5048425], [89186907, 6262994], [98046238, 13440249], [81221269, 73343873], [53938046, 42550203], [64563267, 32065873], [16736531, 45388731], [55834928, 20787975], [4435964, 74477703], [88724641, 48589300], [4263947, 19980344], [59739949, 46108135], [82465720, 27102588], [97111809, 46330746], [80476972, 39187129], [87294135, 15605361], [80284760, 30447969], [56454729, 99996494], [56185415, 43332165], [57125808, 13710327], [45850836, 4396032], [49995288, 25679992], [74767881, 86553592], [73246360, 74251033], [16234805, 97314136], [97834687, 62797655], [72047410, 68779686], [89866160, 59487053], [2350777, 95132663], [71229488, 14072622], [32032298, 68525113], [74683539, 35855505], [43104293, 45667499], [61888357, 28987086], [81255580, 75278002], [40354123, 73741570], [53784682, 19067480], [44853957, 9053674], [73293520, 49530164], [69617823, 16181511], [82885293, 16183525], [71411758, 64942003], [96837496, 75902298], [44850809, 71664650], [75616306, 84824903], [6281286, 50670407], [7841838, 63271729], [3546884, 78456155], [41853869, 9859744], [18100778, 9147871], [86869671, 35983405], [48307092, 77537026], [69229703, 54702147], [32166326, 78590677], [63353527, 37647618], [2785959, 6054392], [16841204, 86143174], [27884988, 41930742], [91592814, 84105435], [22780523, 21034803], [20648977, 56806980], [49988069, 39212223], [44615097, 19864691], [51156702, 72799685], [65244874, 30250672], [8201355, 5714370], [86631080, 8298586], [13379575, 73681392], [89549593, 99614678], [89304813, 97728608], [6360431, 53385673], [24839145, 75127920], [75125002, 34774546], [37690615, 94033407], [74376655, 77505715], [72188556, 67953521], [77717041, 78911028], [84991624, 79442674], [55053051, 22474095], [6790126, 42269268], [21170573, 80127276], [58197418, 4049540], [39718322, 6812509], [3535894, 61484381], [51495972, 47813807], [46505318, 36666469], [31888411, 59082355], [22683561, 75270678], [89946664, 51135052], [78973467, 30755094], [9367354, 46626778], [73027719, 14047363], [64269839, 92042774], [9166568, 89671340], [54169658, 53489958], [9693770, 32492877], [79992142, 38171743], [60586490, 1633772], [96485827, 30235228], [73576899, 29630391], [85976834, 68087411], [67746684, 27093204], [2382548, 65157289], [77681237, 92921902], [73652976, 5888911], [10416903, 95942059], [28034306, 44896398], [91637384, 92277137], [41543502, 69585390], [77528834, 5175395], [5754803, 90010725], [30658679, 15285275], [12074955, 48883090], [19308407, 95501855], [34498796, 84994414], [10175350, 66264613], [66528408, 89762269], [28507450, 5085412], [63966937, 88827060], [32559134, 25208357], [25147820, 31349417], [81314222, 88269887], [66432888, 91927126], [14724058, 45319977], [66862998, 21298632], [41522439, 8639409], [68189669, 3934705], [30149109, 92520212], [39597824, 69289420], [86860435, 6785977], [89381204, 137627], [57428414, 76955644], [85740566, 93388889], [48681590, 72151291], [3460708, 66099976], [38132589, 93097019], [54435859, 56954939], [43056029, 21793435], [27400103, 71687029], [28329304, 33225897], [91951384, 67644557], [47875124, 36131893], [7803370, 11036106], [4416635, 43491079], [5506317, 80060078], [57537415, 91589106], [59692688, 60077658], [62909768, 82139412], [80393488, 12887216], [51897416, 41820], [15718147, 65718370], [49477910, 1962720], [71197413, 63031943], [83769107, 93475923], [60790560, 52069841], [83605860, 11551870], [46540118, 19478601], [15295723, 52668344], [40702566, 73618763], [50265455, 36370160], [32427350, 72738731], [32911857, 23838202], [94292793, 22298424], [50791955, 80104348], [95871770, 81839942], [2123167, 67276100], [80980298, 51017727], [38656337, 39684721], [44595265, 92000786], [1786969, 81415641], [15540643, 67053777], [68668802, 24527988], [63860945, 56031964], [4535410, 14303114], [31347287, 92961572], [45740331, 65583448], [70370088, 17401011], [61388166, 97056444], [92331539, 25590052], [72730605, 75714216], [40489875, 27223151], [88765487, 37834282], [71547937, 58855880], [42770308, 17560847], [62523832, 7011341], [14106601, 64300786], [57162888, 4322081], [47958514, 43785121], [15640904, 3099712], [50482184, 77236170], [54422659, 98260572], [94792368, 41896229], [83860420, 44745000], [89452509, 96856841], [68612874, 59409146], [4149558, 11310006], [38270687, 12990966], [57982838, 97848663], [29457543, 10134994], [56328785, 73040101], [63345222, 42167473], [40140173, 77156104], [47595561, 51063050], [65875681, 10089580], [71321982, 21228332], [1727986, 10046965], [93782214, 12982791], [85285194, 69499091], [50811028, 12245276], [41566824, 47215079], [80308976, 28831393], [63559941, 9313319], [15711694, 70062162], [96723435, 84063461], [22468514, 68198657], [31928485, 77030563], [94451896, 26471824], [17042630, 20185681], [23344340, 62711553], [97802960, 68418760], [91057350, 85480167], [55959306, 44904226], [60856594, 43165111], [93278934, 82716870], [70554312, 92065740], [95578502, 25195583], [22003436, 80205068], [86940305, 78047684], [82306021, 81428813], [32312219, 20456530], [87182296, 3488935], [79997132, 47746453], [8626205, 33882613], [48150855, 74164576], [23801460, 58072708], [45242003, 87863405], [77821962, 75395370], [90785397, 27425661], [83702560, 2900892], [95750129, 11310287], [27149150, 32523403], [22184861, 86225969], [99684354, 84759310], [92797256, 83666674], [60705235, 37227290], [13664685, 6101149], [99045990, 14367739], [21676839, 13027406], [42992348, 55338484], [78177434, 38457938], [23259487, 17199162], [18970381, 95797452], [84263079, 68573777], [55258328, 20860596], [70313005, 78049928], [98427755, 25787437], [92303921, 92092460], [30157733, 24693787], [84699831, 92073122], [44103555, 12367825], [41061419, 19710815], [94837903, 49483356], [32028193, 71543551], [10602451, 29994358], [73311966, 22348481], [84149293, 8943391], [57341682, 48654651], [45390369, 43100032], [39298808, 59754873], [78425776, 35970061], [17866621, 73112748], [26347520, 29497395], [90043959, 86235568], [8378791, 77728353], [62306515, 63471737], [40983921, 4090388], [230286, 12248427], [5365321, 82472144], [14316249, 4377106], [45301080, 50430446], [26931912, 38907111], [78730803, 69714674], [10256894, 62946933], [36110279, 65375292], [98212216, 65058412], [70367012, 41816682], [51331443, 31404198], [76462277, 67722584], [70232876, 50192713], [88302772, 44372965], [91735834, 71693747], [76303965, 46400281], [22178469, 24501168], [29419762, 7571765], [84579752, 17951908], [25838780, 50487687], [82088045, 84280265], [73042292, 92447032], [44143865, 20446395], [41679138, 25256475], [72946763, 86299545], [86788107, 31755474], [41098757, 87901405], [73304748, 82161137], [36559433, 17722379], [82460691, 30779229], [77220976, 5077808], [21060908, 85750082], [61428525, 36431696], [3748595, 36064452], [17350568, 11026785], [24742050, 45103544], [21013217, 51816268], [52617368, 97799590], [20250493, 68161011], [53510582, 34179127], [50026184, 70090908], [56687981, 70473563], [62381312, 12358437], [25219641, 84874130], [75211380, 87365669], [59867515, 85554528], [43587342, 65120858], [84077475, 65908998], [11860835, 91939433], [81216613, 47656117], [39594153, 99445666], [4900817, 21065370], [8024176, 83919477], [38104265, 69503329], [93386008, 86326377], [37508698, 54885199], [20678178, 35874838], [5398012, 27918325], [40893728, 71450823], [41916774, 75078204], [98895014, 99421303], [48867719, 36804158], [31426293, 8300287], [1544096, 39344982], [56462107, 57627561], [55672859, 63188127], [4132563, 205097], [17003266, 60913753], [21765929, 2068596], [26715331, 44980102], [38680024, 86307743], [81458985, 79419408], [679249, 72443304], [82885045, 47524731], [27657305, 75118406], [22881129, 16355270], [45492271, 68407770], [69102664, 5315365], [94680652, 44295935], [99944539, 86872440], [24877905, 94688869], [28613276, 69683736], [34447114, 51377523], [23555243, 60684375], [86232023, 12634445], [65761133, 23661780], [84331243, 33681932], [99515682, 97814494], [21344085, 88981345], [25763490, 78040903], [85262720, 81227848], [10511024, 52704580], [55182322, 22945167], [25910160, 13120149], [38821849, 30696196], [75726405, 94304971], [30147859, 70669018], [10901402, 70451478], [39328377, 5902231], [7688418, 4632356], [71257693, 34628596], [66998902, 9025949], [91045733, 37489085], [33297934, 78712395], [87079082, 40477288], [39313833, 37174533], [14288271, 84967888], [52441810, 99873058], [16874351, 55691700], [6199548, 15974271], [42876511, 30701097], [40061683, 8522120], [69971963, 72561765], [92590154, 85266183], [88861451, 84833980], [157791, 31846690], [88334619, 30339613], [87429558, 58955978], [33871650, 91959403], [41931570, 36370903], [12061435, 25807357], [89382461, 75805054], [16246615, 32493129], [58076285, 81433799], [34676234, 40994649], [26804112, 37510148], [55930691, 89945938], [46051094, 51611487], [51640518, 59631402], [69468327, 90173410], [75738434, 50096073], [33356858, 12862912], [70930730, 53753514], [58937060, 60985539], [52740359, 75789332], [72015168, 46764838], [66198860, 66448917], [80666528, 63102388], [98008518, 81761615], [35232514, 48944330], [45383690, 90977527], [41042151, 88869083], [71846799, 89340920], [61139720, 75028767], [51324916, 25753501], [36572609, 37562941], [40285513, 90721446], [3812120, 44661751], [10305580, 45216495], [25527149, 93690158], [74730871, 14607752], [43134426, 29484554], [5061672, 72367308], [93647151, 39581628], [34536409, 99690342], [70502423, 82007265], [73973541, 630260], [87987604, 75207464], [5072003, 73640188], [81515409, 74406868], [65798877, 24670068], [6201883, 50688478], [35124627, 89933500], [66405980, 31469937], [6250367, 41343628], [68902394, 17763753], [86350493, 18108153], [58465463, 8478918], [2900218, 38599896], [83494520, 13355757], [33573710, 57512889], [34515922, 1805840], [97993335, 6546504], [89300427, 89674260], [69602516, 33391061], [92539073, 36512183], [83000382, 54780345], [39401591, 74305118], [89271948, 27451418], [34664276, 23343004], [27062916, 34372121], [23294416, 66208628], [76745455, 61812930], [42104132, 26730851], [92802472, 24938308], [2456855, 64802165], [36376647, 98752660], [40541916, 34743616], [50440462, 26049491], [62772186, 59597536], [98092269, 54487633], [92378749, 12733256], [24871803, 30330009], [92052390, 79992232], [81010124, 77183022], [38053726, 43746994], [39093072, 64417879], [94537534, 89058942], [10618404, 53632820], [48999115, 90491765], [8820373, 72310241], [90341365, 1303624], [76104435, 36554134], [88538519, 89245584], [88216112, 64920441], [66012606, 41597514], [95052418, 15704004], [24888176, 27091941], [44425882, 90247110], [38475314, 6243553], [81633775, 47250812], [20786578, 34887834], [47019124, 11984506], [79307173, 46666096], [60324572, 20199998], [47745827, 63305290], [65360303, 53995104], [18252258, 26940793], [22590417, 88018622], [35877284, 57983129], [63538156, 30012144], [24664766, 79848484], [1558058, 80414468], [6865802, 74404771], [25001803, 31610770], [65792182, 43834278], [43748256, 89498201], [21873699, 42056801], [97639, 62384793], [97787216, 85429336], [35910504, 9018321], [11812799, 19672667], [29886172, 66175347], [30016970, 40738895], [74481918, 84963792], [53066850, 36149084], [89399410, 10027875], [71918681, 80369902], [69022492, 42955210], [90314885, 53345294], [54276521, 29904702], [32287718, 72668161], [67092899, 65935606], [1057295, 37565888], [71657776, 80857436], [66434938, 64584657], [14829081, 26552118], [59488301, 2802435], [21974825, 33063335], [96053614, 96514335], [44338325, 7326044], [99857679, 52331646], [35965195, 21175573], [8874988, 46480], [3735307, 26154200], [44383822, 30209298], [23230383, 36518153], [34775539, 19875663], [1044860, 23667863], [59860313, 51096464], [98956832, 7866348], [76260962, 29882689], [70471334, 95137351], [95864520, 60333007], [16519422, 34275754], [17768663, 81370101], [12831905, 44681471], [49538873, 72263487], [75467638, 96244758], [20276425, 13181909], [61346450, 61891374], [98320933, 33352107], [73155196, 12563525], [69082197, 31266822], [92372565, 2359379], [41473615, 14192573], [20117920, 93589355], [81377469, 30693559], [5184122, 33205260], [35029836, 72933444], [19461127, 56249277], [9760398, 83825375], [5543883, 64943960], [621756, 97150183], [81120221, 59144694], [52505328, 74911769], [90553949, 82214214], [95788940, 52197654], [51759678, 38378871], [15552786, 60201484], [27066361, 24291075], [20445852, 67463729], [99774289, 94465287], [93958230, 54256593], [63694544, 16462099], [70520144, 94845203], [91907796, 95613637], [48310733, 924189], [77797813, 66295751], [10349200, 20606985], [40249632, 20948641], [97217297, 90093675], [72892554, 69040067], [41419647, 90517633], [97256268, 7335839], [81174388, 89132294], [36972146, 25722035], [17180345, 68611272], [33986507, 42250205], [65056722, 31005665], [83423771, 20567479], [72488700, 81573796], [835572, 69376416], [90084400, 68077815], [52032167, 6244601], [62381207, 18297274], [90587103, 70702923], [66941941, 34982543], [79329514, 63075425], [10424628, 27019843], [16400511, 21664536], [49445347, 86565394], [96754348, 95411828], [56227259, 16770184], [3546035, 58547050], [85172908, 9355197], [43489252, 33417970], [14161609, 90623264], [80116257, 71658060], [19679655, 30909592], [89369855, 25598063], [90193226, 23236874], [38424751, 19172752], [44426037, 90085369], [99118009, 25443995], [15794382, 8971518], [8231202, 98545899], [38280502, 78661238], [61562064, 48144485], [36666205, 91665200], [51417374, 76070048], [67296734, 1656664], [19940004, 55222963], [58042688, 83342652], [13581779, 76049650], [43384707, 41736887], [41317792, 94799191], [79445323, 41004375], [6249599, 82226385], [67029603, 85365844], [98048684, 75545157], [31756449, 37151913], [52629358, 30246368], [36165966, 23694980], [85904440, 15303613], [58552345, 78961987], [96501866, 43273006], [91255533, 62049759], [63115683, 96149286], [69718800, 33606714], [14445046, 34069577], [30831749, 66022720], [92269410, 72485839], [5254530, 74231163], [75050298, 68672365], [29002677, 83607152], [37994407, 72911750], [56527429, 18832421], [62037635, 22503523], [65613103, 75189038], [95318221, 94204001], [45884322, 40249472], [71889003, 93326225], [33802091, 14043959], [25587568, 47772017], [45127736, 7150189], [41849469, 41900658], [69227174, 6521922], [53486584, 29851982], [96623511, 89904276], [37820610, 43085461], [10466045, 62957114], [9783368, 61562905], [76368772, 19674655], [59097686, 23568105], [59853519, 53457813], [5812074, 66798690], [57482198, 48006711], [94389337, 71475455], [54162345, 24254729], [94493542, 38231186], [86092678, 52222164], [67756788, 38191022], [11341454, 81308277], [32066107, 44699479], [53346591, 63973518], [79234210, 29809037], [12147559, 58053636], [97941661, 44823774], [87969752, 48090842], [48188594, 88983541], [57052402, 64696910], [70313261, 48727434], [80194247, 24530787], [92826953, 43067563], [42045863, 45198396], [13933244, 12854805], [96312252, 14286521], [61698071, 80585659], [92839592, 66122351], [62152818, 43409854], [83474161, 80099683], [48520844, 14239255], [54672835, 79005286], [64349489, 12365283], [91715515, 59867744], [14903789, 3862154], [43534161, 70598137], [54194767, 21260542], [42349823, 21939385], [70185512, 64677409], [20417293, 68311348], [39186334, 18485797], [28972598, 35370815], [11934678, 19783957], [49451722, 60096467], [28913454, 81954221], [86171788, 9191578], [38150543, 28841847], [94649435, 5537865], [10558472, 42950895], [49217294, 1019319], [85945325, 38833054], [95279419, 17766759], [15841026, 44528542], [31893150, 38347599], [59057177, 25972636], [79660736, 19846167], [4876964, 80169534], [4388480, 61433583], [24881568, 46020723], [36557446, 76624718], [14127446, 22492538], [22157909, 2301329], [81703882, 17977028], [23231848, 25491741], [85814360, 84065895], [19953928, 19672520], [59848703, 10446599], [5883603, 14193382], [15722304, 44972269], [60626989, 38554856], [70187391, 25835071], [27354119, 82108295], [12381135, 96204251], [36071886, 75288479], [48340934, 17177746], [66023657, 78025721], [42690947, 48979843], [61678076, 47267288], [86091004, 32276389], [81079340, 57098426], [11816340, 54488355], [40991722, 81793513], [69509978, 81893405], [67014881, 64911097], [47122717, 37037625], [90199781, 18519252], [28675488, 31299691], [31277818, 79880679], [44546950, 6096752], [74780589, 99704270], [54285122, 31052755], [27542906, 24809331], [7009344, 12178879], [14603441, 68346691], [73380964, 35558448], [73138148, 34732244], [95578746, 95173455], [58806597, 75684947], [83060086, 30076232], [98725566, 31650057], [42375155, 48128348], [61194324, 97833327], [4527683, 30013112], [32746416, 29573771], [56423402, 80220227], [97817669, 65434294], [15044136, 92629014], [62188261, 90374328], [92519582, 61168626], [53609765, 38832928], [48885886, 72041298], [99596223, 45467632], [38121724, 42733805], [99258096, 39527656], [48597625, 39550188], [2968333, 72559150], [69599293, 8051814], [2415801, 87287737], [28640419, 19737984], [10748198, 90268653], [91312792, 80740278], [54574278, 99274513], [44017766, 78743513], [42479921, 71950289], [90433704, 52690457], [58860894, 92323010], [93443754, 19023966], [59773278, 75140908], [90345186, 75188904], [30789447, 38747751], [1931834, 60665630], [91339123, 47859813], [11291921, 22272739], [10784747, 2242577], [44472022, 82484467], [84860625, 6160640], [75532181, 36587545], [6862649, 95644387], [56111424, 69511063], [64441457, 64177621], [23687480, 78796349], [7464304, 51318033], [67250482, 23038150], [69832555, 27420097], [10444233, 58682349], [75798341, 67662207], [70144909, 39647926], [22522965, 47506858], [59043985, 17738347], [34622754, 31420431], [26349016, 5739850], [9336599, 67558554], [96796954, 10842800], [4410519, 29068228], [44962865, 250636], [39857325, 68921118], [55209050, 38180735], [86062677, 57047815], [61256711, 26509386], [53291248, 30847640], [86848700, 43213949], [71246269, 54128684], [16816523, 36763109], [24453880, 65236517], [58754465, 52925195], [43263561, 35551453], [79639708, 52746469], [59945406, 70841312], [73381652, 19091431], [52600816, 48113078], [40156698, 47390458], [75373288, 47123564], [65942315, 48552938], [31455382, 52869660], [61425259, 23354959], [44069736, 49188941], [93064212, 52275560], [14352753, 80804083], [24468625, 72469331], [22225521, 78959958], [30946789, 92407246], [46183986, 51020384], [26291902, 52391368], [83225206, 55006655], [77798547, 83735814], [48887697, 59239520], [88810085, 2734780], [68361478, 94708672], [62692212, 43959676], [32667141, 16412062], [12327793, 47747549], [49365128, 2775624], [54185181, 81375694], [88083503, 53958362], [72314660, 5460947], [59460577, 12710019], [13893490, 96403308], [39724210, 71711506], [85138122, 57735017], [25372817, 65752026], [64846757, 12952565], [72745924, 50487715], [18666899, 75488215], [84233593, 89710513], [13461796, 92903145], [57686301, 84491827], [25093342, 39552457], [79989352, 59814650], [94498061, 49747686], [73246666, 47173655], [49296488, 60954299], [81087997, 92128737], [18182824, 51316650], [27084047, 47755482], [99499433, 68912014], [61445422, 1821757], [88254529, 93681353], [97439034, 9080138], [63423749, 61966361], [44789960, 77944404], [47490211, 54659540], [91010573, 89054307], [17927375, 60350025], [17782077, 40545157], [63117295, 37128367], [4297274, 47702358], [44225457, 9237052], [56107237, 2243001], [96186764, 55297486], [88214220, 29556513], [98744642, 85634758], [28006258, 94765966], [10698176, 18546090], [21783799, 11922697], [30297567, 28789990], [34103421, 41730155], [81457026, 71000193], [56613425, 80187607], [45669970, 12492207], [81251225, 55545836], [56510538, 91595850], [67740822, 30673368], [32729702, 66658432], [30141037, 74950928], [31614778, 52287483], [9494268, 62200901], [40825572, 96401400], [15206540, 30762297], [2280421, 70604737], [14234538, 95161133], [21767407, 67144050], [27975347, 69248291], [64042059, 25938736], [2208148, 59077994], [6901783, 23279144], [9123814, 87932252], [13126014, 7594081], [96893302, 15014582], [67213196, 94803322], [68149518, 25864815], [1077574, 43572263], [14736461, 5864852], [20712304, 36050050], [8327197, 63244051], [98082517, 20658078], [57078444, 81502536], [6209035, 99659382], [10797124, 7387116], [42470576, 96703387], [36814408, 29499761], [50248918, 22345298], [53012501, 53037418], [77392465, 35743005], [3957165, 24834736], [25050196, 87718123], [24428070, 86050894], [20779791, 1744474], [63087090, 97950254], [63454789, 76593663], [9523384, 6300348], [80167185, 22883929], [67504105, 93341535], [14625193, 50776093], [94116364, 51465288], [22349626, 93363706], [97094979, 89742218], [97075940, 47212143], [69866258, 92801215], [138860, 10937301], [98178568, 36903957], [39568571, 19634179], [95236586, 40694782], [72487989, 48856349], [22328476, 86944643], [83477386, 63359387], [87093055, 24472086], [28239999, 38196740], [11869809, 83400718], [94790058, 56381584], [77965656, 56704067], [15153167, 25001135], [82417435, 40737961], [5523320, 12399188], [81675373, 72415999], [88247970, 47101505], [36957573, 49801166], [76020219, 36293318], [99443879, 62931282], [47517612, 15652930], [53252650, 47074002], [29216858, 35046924], [71350503, 9657734], [66001003, 56963796], [79581010, 96933174], [17096520, 4048217], [86694355, 68393077], [24922587, 81346816], [2582129, 8032293], [64425202, 37003165], [3982888, 36780735], [56185809, 1916637], [67166314, 46740316], [26527958, 84655363], [72615493, 36325556], [23568723, 84719094], [64738006, 5986674], [63938264, 9906018], [19894237, 71289261], [94593606, 37222551], [6275179, 83018303], [87453518, 36879226], [56495888, 52048165], [33592655, 28669268], [9434490, 85913738], [39548099, 79766287], [85307641, 5539069], [68058141, 89102235], [59568891, 55025278], [83126266, 31525189], [26075755, 11885676], [42074381, 83960661], [35326265, 28617860], [61205578, 7310333], [87787956, 42749999], [32563072, 4426601], [26984587, 47249139], [73207855, 80091012], [96525905, 64927291], [80713858, 53690445], [91445557, 34605468], [96843573, 37829834], [47675840, 46700272], [34660029, 78511063], [49875352, 80247220], [67987069, 78119859], [74786659, 82857505], [224755, 49849352], [89632316, 93728837], [18992617, 62698651], [90115423, 82731948], [47536709, 9375624], [81371836, 11553194], [76350605, 23421876], [49738879, 90109526], [48177453, 53629380], [32412546, 22008393], [2419518, 72712292], [17359622, 60363432], [58046598, 72301663], [68007827, 27922734], [45371031, 41015902], [85269935, 38755902], [24999967, 16183330], [54408097, 5038096], [6057171, 16632711], [46278582, 8463147], [57994011, 83198654], [55673541, 49127947], [31177399, 12438257], [36770316, 46902309], [29401658, 40967716], [94890470, 72733023], [15279150, 32589552], [21171836, 43110872], [46131589, 94428538], [12135066, 45449518], [10266553, 867937], [72902943, 27546511], [80286877, 42611199], [90329678, 97567929], [98599576, 33097127], [66882208, 35636989], [59901826, 35466316], [93370267, 45143918], [22419603, 41703360], [76800653, 80827133], [5903020, 44635287], [33368557, 18159756], [7113649, 36629422], [51809623, 49056519], [35834287, 77485038], [83254967, 61920458], [28497858, 13271901], [16617052, 4314303], [47879724, 34175893], [94716110, 70499425], [84542486, 66008993], [1345740, 39748310], [87165835, 54986725], [53601146, 71815331], [30318021, 13401276], [87075612, 80236894], [30430842, 37147999], [89059968, 86059789], [78352320, 45843573], [87672874, 9651610], [57065844, 50971448], [27850019, 38635211], [13493319, 88028347], [94628592, 57694271], [36228852, 66576377], [14970518, 47277820], [31797077, 42238859], [82565932, 64529541], [53871985, 18091641], [69936321, 36209745], [93805365, 2217321], [16914515, 18154959], [87291275, 13507630], [73068131, 35862598], [72278737, 54359515], [85437306, 17542725], [55715717, 14986009], [26425853, 71462188], [46886783, 5263896], [50618446, 91413930], [3679405, 44000349], [57245618, 78455036], [20882031, 31637028], [40007341, 41514245], [18876865, 63668373], [37594335, 47088850], [4019742, 45680184], [17395566, 40772456], [81779642, 5735784], [24948727, 21281636], [43424077, 60453390], [95758586, 15828642], [89142005, 39593204], [30537723, 88310932], [78365122, 95311757], [7756168, 12533427], [94534220, 31479820], [49883419, 80707479], [4055443, 93865622], [84450416, 11085096], [58073717, 59458140], [35371266, 45257545], [14058441, 32405876], [56508420, 38380802], [68841491, 24002087], [71986200, 38195659], [2157448, 9293921], [50364064, 31815342], [70242211, 53910146], [57726258, 29502080], [26627899, 10438788], [69072201, 85442183], [79423345, 58148165], [11275582, 31635111], [68763896, 53551646], [96063107, 55692240], [63497724, 30822926], [91096008, 82111043], [34301029, 57891050], [32308544, 25255557], [78985566, 13688187], [79972244, 96527500], [74120810, 17604267], [3135406, 80792061], [5802073, 41658676], [44519930, 67683411], [93108511, 55916487], [22255485, 24403443], [64064576, 87458815], [33649537, 10335715], [41117941, 45990143], [61743378, 99932524], [31285036, 16559], [9034964, 20510262], [39138848, 72791376], [61786731, 22843827], [8978856, 83676929], [79768766, 82247266], [9884209, 11475503], [22708356, 71083908], [4490462, 12781785], [28075572, 20388200], [74007884, 51685096], [74850271, 70812157], [40091868, 53647926], [87544719, 87360072], [76132297, 12918915], [2157378, 80683749], [7467119, 35412674], [89073847, 70929980], [86758334, 64028642], [58216116, 51329879], [25189850, 62475554], [22138631, 68601044], [63016922, 711062], [85453470, 62008315], [72395835, 84011741], [38118205, 91606851], [40693943, 15550671], [34857236, 33821692], [6577382, 46206259], [11534786, 84467341], [30538680, 23416288], [66832299, 51779838], [19184045, 68331834], [74952477, 22639143], [66176928, 17345397], [14022098, 18816650], [61146196, 68524182], [18500432, 34904058], [78452278, 4378853], [77913789, 49686394], [40321841, 57056836], [67663320, 37017248], [81099783, 34288516], [80514648, 46249879], [53015588, 68520908], [96595973, 61404165], [66304788, 55430271], [283921, 86972502], [19590226, 32687746], [78892114, 79105978], [7230649, 10929151], [72942344, 62910375], [86497540, 51000540], [67495598, 38370243], [64579891, 43142891], [46589498, 79705269], [26844528, 6215399], [22697599, 63300753], [33561848, 15879096], [51681410, 91645437], [45343570, 95729055], [73594616, 30651674], [58399321, 67550211], [61032318, 49694193], [244399, 87131943], [44830114, 70611360], [55538857, 71485843], [67455364, 44748266], [28626361, 21759804], [50606285, 14185518], [2812719, 9522707], [36784130, 69118423], [81664877, 23021950], [49727299, 73170222], [85530347, 18480359], [89362263, 48267613], [75684913, 20860624], [81241654, 21994795], [32547025, 43064102], [87772837, 66844659], [67502710, 97031040], [11101436, 81787684], [59572862, 58789960], [54988487, 38868033], [18030740, 58755434], [5562370, 6715309], [20592673, 72534457], [80275075, 18424636], [72649795, 71622328], [57931015, 35624854], [52699815, 25026808], [62785381, 78857784], [75422215, 51321750], [54915324, 19989016], [12957502, 69795809], [82143426, 65536057], [33692882, 13695019], [31402332, 70090646], [56658917, 9694954], [88387298, 73156068], [62041353, 36203164], [25127481, 69206134], [20367311, 79882816], [16131357, 47649136], [69768841, 53560202], [19505939, 78996489], [55076271, 20466388], [66026923, 84642969], [5722832, 35222641], [18628658, 41041643], [30413626, 58599579], [80708513, 64087938], [13574566, 39899409], [60433713, 14090918], [10887036, 42901974], [78375602, 5098921], [2187551, 84035543], [56139881, 38689401], [78425582, 74922152], [14335021, 6168277], [96358626, 18137175], [29885561, 38624168], [22003501, 3941862], [21258764, 41731373], [15933563, 88895746], [19967678, 30231628], [48870320, 36353768], [74087311, 68638679], [70299960, 11437590], [42591926, 51629252], [89166536, 99345861], [50130248, 1599688], [2682611, 82259303], [3961230, 45181866], [66088724, 58040763], [32547741, 21491591], [9233521, 61530096], [75417811, 5994857], [9685223, 90059302], [81622180, 95081329], [59285476, 79219395], [99466433, 42435525], [60118532, 93508615], [83970481, 60376194], [28714420, 25124879], [87891061, 25559054], [36898244, 84779310], [43842885, 78086399], [30430019, 77128793], [14129419, 442240], [89367578, 10140753], [8290237, 90696710], [14895700, 15896738], [72383330, 57100559], [34059807, 28509301], [68293675, 56886189], [80290857, 91722334], [28884416, 65130730], [19958785, 597126], [50470893, 91662835], [43285965, 82681091], [70074723, 80850637], [40707601, 4415917], [66750827, 17819464], [69692508, 87676023], [40108182, 22381903], [81513158, 87965916], [4656548, 42400600], [34462012, 15924814], [9233250, 51757426], [4773778, 35245721], [78257488, 46062437], [47049938, 93330233], [49649281, 90199125], [77945786, 66350684], [14711097, 62686450], [95811178, 116016], [315544, 18378949], [7788946, 20985663], [9088744, 84843759], [83721101, 72888594], [83765156, 43335634], [84336647, 41103896], [766660, 15472440], [42518630, 18398007], [54603861, 45191311], [96396449, 13742560], [84439191, 83111573], [89733968, 74492737], [36630342, 99208499], [20228985, 81786242], [94239858, 80722109], [25508774, 61522583], [41535927, 44859552], [74541857, 92862108], [83051030, 40253136], [92621311, 20889377], [19354641, 83783183], [88517787, 47546466], [63897550, 91104400], [19367253, 81212000], [47909829, 14199269], [61895740, 2145859], [10470253, 74938517], [30652681, 84724774], [95779118, 42111890], [63617605, 88668354], [96967945, 65293608], [87353684, 55871941], [32019952, 38409775], [88461882, 83074386], [42589058, 9014140], [11752608, 73983829], [42719802, 8573275], [55708163, 12226420], [54133779, 27457850], [37985496, 72895793], [59899471, 90011721], [8383681, 86190685], [54657663, 63215311], [3347291, 17688687], [12198015, 70050153], [87857260, 30355093], [17251623, 5536660], [17007959, 52823536], [69534797, 72921766], [4270431, 61217604], [53818960, 22816853], [68086739, 647764], [21626856, 50821943], [29749745, 10877335], [24294138, 83678681], [53848844, 15751145], [89758784, 21290016], [60319222, 11881819], [98419425, 58914462], [73798394, 54717316], [84177219, 67681104], [69731094, 56638964], [48336230, 70994156], [54382916, 86205758], [32622494, 52067909], [33694216, 92881656], [33551261, 88565270], [11770672, 68314801], [41428670, 83924616], [7217281, 16615612], [34123605, 5422563], [51622161, 27690818], [79885167, 34647041], [61944893, 11984232], [51054724, 46574632], [64070312, 69977585], [35836359, 32517135], [38038277, 55890253], [60790313, 81844686], [54039610, 50671336], [68708065, 51469054], [40074678, 50688856], [62874986, 68017456], [35311079, 1767073], [19104678, 74560142], [29113974, 34702230], [3837632, 91156369], [61499868, 21833843], [51351502, 63177854], [5578441, 43634610], [12188405, 16931305], [81728513, 25588076], [89651896, 74351183], [33193133, 2865149], [86752662, 37765368], [17367973, 71218712], [1347987, 80265338], [44701137, 28386592], [53930352, 6740944], [15711504, 13258034], [34098782, 20867265], [90859442, 17366979], [60738257, 6227618], [68270719, 34693889], [23903794, 34937008], [88769442, 85963476], [29372878, 97387454], [23359590, 64343562], [10214886, 51813673], [18287170, 43907321], [16637564, 74441645], [63980009, 39659645], [67652013, 66935855], [62676123, 28105427], [57813146, 56683647], [92716631, 11344995], [40491220, 11991323], [26176609, 54792449], [37144819, 75708105], [18288520, 5141976], [22655345, 52652510], [69108274, 45354339], [53437061, 90757172], [45036371, 19973390], [92976494, 37304785], [26238339, 89167360], [32291736, 38033204], [6830867, 33460326], [48348859, 61322350], [819777, 31192558], [54321045, 44028796], [71631887, 7748994], [92282082, 64764715], [55193603, 93481124], [48578851, 73731730], [15182807, 19115587], [83831182, 35274916], [52349213, 2833427], [71490686, 44918233], [27845496, 62544995], [65722557, 4097300], [37073882, 225792], [12678276, 67954022], [13124944, 58352869], [3927350, 99201582], [49939993, 14780343], [54177500, 29084762], [65320575, 62218860], [97349542, 12217467], [81575185, 86530907], [41635142, 47133883], [15248082, 37761813], [40512130, 20925385], [65338813, 65316132], [64605956, 94414972], [47036180, 3619204], [60835322, 65357939], [86362384, 28578811], [49356795, 56869705], [21327962, 27785541], [91909681, 61570659], [14832304, 21714766], [89555487, 41539528], [98966318, 7859316], [92133066, 4541535], [99743225, 80266591], [61891433, 43404346], [71279945, 72917880], [92640751, 34118044], [76739402, 21975396], [4032281, 90262953], [29463332, 12677124], [60789236, 1517617], [68225231, 76870210], [83133679, 41270340], [25302135, 32440023], [79985598, 24632428], [87959114, 56040230], [71957934, 84045884], [58962529, 92416619], [89050330, 84534000], [79956584, 72002038], [92382984, 46561791], [86800962, 10832993], [71593571, 26569707], [82695654, 3900201], [72518103, 34593658], [50145638, 35550929], [44702623, 47375000], [96916508, 60721893], [90660587, 10140393], [62169152, 60162345], [18362982, 35705447], [99912294, 70346644], [97398164, 18700505], [98329620, 78133202], [71944438, 38041282], [64437827, 35324959], [50959599, 22096942], [45502354, 26169371], [97723647, 2262073], [96876967, 64788543], [32383104, 25068674], [61291819, 94374270], [58086013, 28433512], [50077825, 99658617], [26090106, 25283079], [69032782, 27638917], [58076982, 33923595], [66514546, 82725774], [95128024, 32493068], [15505300, 17837940], [4145788, 67102954], [91930466, 64464955], [45519279, 68932851], [81955701, 92774199], [95125420, 92352146], [86405062, 18076037], [30253072, 28251145], [55015441, 31427984], [71923320, 19570754], [90406065, 66788825], [70604965, 24223074], [55693939, 19036902], [66632325, 72677665], [47282525, 10961980], [18941749, 75282368], [15825626, 46102723], [58827040, 4995449], [58703051, 19790853], [99365478, 73238044], [48705206, 48867001], [92291463, 98082572], [97298494, 56304512], [3477183, 1389937], [73543626, 94026580], [48665462, 58468308], [31287825, 37890373], [45394557, 42234263], [44849224, 40790769], [82462503, 10095475], [14647305, 93802471], [19530876, 17075825], [64372001, 35490302], [52324604, 28276255], [15840321, 17698392], [7022877, 17433535], [29933420, 23487103], [31746268, 93090972], [71146155, 68128302], [53968582, 99240240], [35765843, 28010564], [17034068, 16086713], [79975966, 30897558], [90007951, 62977485], [10711432, 57500227], [2058115, 29996266], [15168956, 67847563], [66755674, 47609345], [32551579, 70884724], [25024546, 29887457], [28907136, 95445005], [82738348, 49713459], [18776556, 83045847], [55413046, 82055739], [71709066, 76434635], [48164710, 30635933], [81788215, 81738454], [6425257, 16438394], [64786161, 67718707], [67799467, 4285441], [94596642, 19270044], [39075463, 66968507], [3567150, 71767700], [20615324, 73309273], [68286149, 39911548], [2000084, 97762640], [8181400, 64434545], [86173569, 63690598], [39421916, 62883922], [90147161, 10220361], [60670424, 36468153], [48570822, 8714729], [81581242, 32692409], [1865838, 12308052], [15105125, 33121950], [99546845, 6330265], [6640120, 31891205], [19803308, 68294960], [95799199, 96867936], [33943015, 42717700], [27929152, 72147023], [91644344, 8485606], [23705608, 66296437], [59540808, 6963982], [45327004, 51439160], [35653099, 48417902], [13879593, 88264373], [84002216, 87128193], [66096965, 96787916], [11009317, 44482530], [35421153, 54486279], [14229718, 18557512], [68587101, 64583316], [72511471, 234089], [23306189, 44975342], [16783380, 32580277], [31215142, 33121313], [925164, 12240942], [72115377, 89304691], [99496528, 79871382], [90263226, 71119949], [24051753, 14105600], [75809943, 86512860], [25807301, 16795442], [29218828, 95491347], [57250227, 78815922], [6540515, 88378998], [44555646, 23779760], [30505485, 94946633], [98251467, 19420167], [12161641, 2349029], [38045343, 62121714], [4277778, 42626027], [18006922, 19012690], [65541278, 91187401], [34547934, 17467681], [53166923, 18203097], [55268624, 32732149], [41851918, 12194749], [11468317, 15117340], [13307496, 59438416], [10946613, 91619546], [17631377, 68007465], [12335829, 87827502], [79207050, 96040849], [66692852, 95802187], [70389935, 27664108], [61813359, 20412331], [82559437, 59539053], [39863314, 71172513], [81492868, 44319304], [65613822, 83183577], [90151832, 86434377], [62022031, 90138800], [75595006, 82906229], [61454939, 87384788], [30839984, 83928921], [42070037, 59841118], [54888279, 48851933], [31662713, 93834721], [80642399, 74671978], [96341371, 81661336], [39874138, 26145989], [71925599, 84606645], [25508955, 68130388], [78631853, 59714876], [25556191, 13820561], [97597665, 85504765], [99591561, 41987412], [63616442, 56197403], [78795119, 40441846], [22034226, 53464950], [1823136, 70270897], [91240363, 6274634], [58003018, 41535457], [73563927, 58991943], [40357552, 66524353], [21053080, 48188749], [69006141, 26298206], [18240560, 56722854], [25582318, 48612719], [38618240, 6422481], [2329730, 62952876], [7621890, 70272170], [71619652, 34083993], [37076096, 18355342], [33666738, 56412210], [62719729, 97509576], [85956745, 60824149], [20588202, 22016848], [9435945, 81446454], [25727399, 62903716], [87061705, 29192210], [52492779, 79097334], [22943065, 7050215], [52619237, 32513131], [59370364, 52984840], [37213802, 87718838], [61837960, 33703185], [27550410, 14241235], [45459533, 22926801], [88812239, 39550908], [54696621, 56290507], [32750712, 37989172], [78135365, 6941995], [85405181, 73066847], [53007107, 46547247], [14081445, 2642949], [70855180, 44340497], [17278244, 58639834], [15267967, 32476709], [92331677, 81303334], [19997485, 84477543], [52486963, 98128054], [82959759, 44517595], [51741427, 73600395], [88843298, 62474124], [76365830, 8174297], [80273694, 94945875], [91619850, 45560899], [75671764, 61084852], [86943619, 93444666], [5946402, 79407788], [64387803, 1310948], [3864209, 62630284], [56889203, 94527214], [87797267, 25362943], [28991228, 57899334], [79846741, 94440407], [66356797, 89426016], [6290956, 4590100], [23476141, 22305525], [10971989, 32642590], [3293394, 8305341], [75827195, 41966340], [37796122, 36252763], [82223287, 3606858], [17599657, 36923861], [50743520, 44098807], [44811746, 71831937], [52394466, 19711312], [13648308, 87927756], [94673524, 15906077], [70419926, 64185563], [64698829, 37123368], [67174524, 94664813], [13875148, 54543077], [61442297, 58170308], [58768919, 30075569], [46572757, 48428049], [99283522, 7706043], [90653328, 16366779], [70546267, 16557914], [92979020, 33650920], [27605314, 48118296], [49976105, 43564145], [65841995, 78758043], [46575924, 60437256], [68964203, 20929706], [44901857, 63974948], [13258326, 96978030], [5040055, 44043202], [73059539, 36138371], [58971865, 188293], [62764328, 66179919], [35481175, 39027194], [63108812, 32693132], [80173055, 84603848], [60765910, 14288856], [91225152, 19473077], [54115979, 12757472], [83842256, 92871156], [26473107, 49316966], [52062430, 66172627], [76535393, 11955724], [7622599, 93631264], [31103733, 59227662], [78608139, 14343041], [65738154, 28285938], [16989406, 7300486], [56985629, 74020801], [62139782, 96993069], [97497154, 43514981], [2401744, 41524248], [76073099, 12007187], [35398513, 96989015], [51064028, 51418211], [97061491, 23201096], [24030164, 12449063], [65355031, 27181036], [41841894, 58260177], [65814355, 41783297], [38105311, 16311010], [67941928, 17900600], [36563354, 11221625], [1525874, 37731977], [60054862, 36190126], [22537115, 76006401], [89837921, 50913438], [12738550, 62994203], [58835248, 5680220], [7068161, 19182521], [42535407, 22748620], [86139345, 88685503], [67958654, 78491618], [96956572, 34704972], [5949620, 13658345], [84766881, 10895], [46967677, 76596664], [8646857, 55586411], [79650497, 59750028], [47276064, 50778578], [3611419, 57805098], [36477500, 72883207], [80755705, 59659378], [37357127, 50946884], [98114169, 28520092], [9665709, 89111942], [14030441, 96964095], [88338413, 48296632], [67717578, 36727421], [88168900, 35822962], [25464400, 63672857], [2234276, 55263657], [34955414, 73669900], [40930077, 43369732], [62438142, 45913995], [5885737, 36171341], [9801986, 11301875], [27440533, 88313022], [2530465, 82987949], [9930156, 8800480], [26170314, 21103341], [66209959, 27904373], [61008455, 2324230], [88506336, 42148539], [8029957, 95385895], [87644546, 65910514], [17292128, 68174739], [83700141, 52859403], [61615706, 90086417], [38099146, 99420078], [45637342, 55865362], [61213302, 61146376], [28395562, 48682835], [93152410, 88278706], [77005698, 99587325], [33636243, 84056750], [7374530, 68194737], [73512257, 99539196], [73499443, 9639364], [3620291, 73710842], [90225634, 59684878], [15406172, 55942549], [81650200, 14111492], [98078895, 81063500], [31690409, 8265594], [99598583, 56928321], [57201380, 75678196], [77618256, 5997588], [30767936, 14836445], [12795161, 17678707], [98875048, 5871059], [1400497, 47856575], [6086285, 81002915], [64958077, 44008686], [12855147, 64578064], [8101573, 55734738], [3292645, 58435243], [68340289, 77478591], [62550206, 28392400], [81007258, 2459415], [50033980, 50308344], [51671645, 29508279], [76848594, 42192100], [27463730, 87912054], [52203969, 16785612], [77397744, 33978406], [83121539, 22242973], [26919536, 35331415], [82881503, 14653762], [38173952, 19009980], [52150868, 38393209], [70520225, 22812162], [41454393, 35806695], [26623418, 78731079], [78175365, 57317377], [67472169, 22418361], [86374628, 58341553], [14547396, 53976960], [99650004, 97387751], [16991363, 12422462], [70970166, 70162191], [60415778, 49999135], [31340990, 8712396], [10328016, 47177995], [58432841, 74878588], [56320113, 93230692], [19506382, 60300500], [23919176, 35325236], [40737357, 58390494], [51761184, 30617031], [74974270, 59592134], [19761473, 4651549], [67244434, 96451141], [77846673, 18114210], [23900340, 20054299], [83796929, 74132344], [8199681, 93789622], [65440666, 28839380], [96572949, 39002885], [44560235, 55921123], [12194651, 39092662], [4514787, 9213455], [82804211, 51436186], [58616337, 81550584], [95149254, 43124669], [52989805, 53429319], [12511028, 21464528], [30375509, 60501483], [88977423, 10920429], [35874254, 91669027], [80589071, 67136014], [28575078, 86224945], [88056414, 84447965], [12047894, 84161498], [37762806, 35618040], [37807906, 78818917], [15791211, 92286619], [83680518, 11948430], [58572478, 42573193], [34438403, 92827300], [36321239, 57462737], [60862095, 30900665], [21425609, 78119788], [91224889, 51314810], [57338117, 8054954], [71658576, 23244872], [21485657, 97259968], [15296633, 73769286], [49176689, 10237072], [36040504, 60071559], [98359353, 39724425], [8819448, 10094159], [68592055, 93449980], [33717943, 72520763], [1242800, 59931937], [81020004, 96696505], [21298809, 73081790], [8203299, 58015451], [37916899, 89493732], [78985808, 47229106], [47551721, 32187537], [74383755, 97353069], [81917307, 28419292], [97608487, 85160887], [84114045, 37215617], [30076146, 46705868], [75447105, 15119373], [27766334, 23903924], [5487613, 91004907], [28984616, 59677777], [3637239, 63953630], [84690585, 15103017], [45300308, 36416783], [23323447, 68585921], [12748569, 56300140], [44221413, 49640888], [92035775, 57529315], [8363018, 8757025], [77628685, 66251067], [18426036, 51265256], [90871075, 75691017], [9966242, 86058308], [73536126, 40106594], [49053850, 68890877], [22543141, 1377228], [8963849, 87319553], [40887622, 48974550], [42470297, 6744155], [88457214, 48411617], [16755507, 57826179], [44351934, 86393028], [96159656, 46519405], [55786948, 79875895], [76479884, 16913310], [27617821, 28468370], [10724961, 39886131], [99915656, 33854077], [4817521, 57496677], [73217986, 96694469], [11838682, 84837157], [24952426, 89388612], [85482840, 62178358], [21935773, 86738737], [27142687, 25521353], [55822124, 74036393], [43216107, 61045806], [90790933, 68642412], [44479418, 9917153], [71555944, 12053000], [44278139, 63236944], [5525162, 48844363], [46953994, 40121628], [83053991, 98367040], [48285118, 38137544], [19868658, 5594217], [74003445, 99939209], [44037289, 24148498], [20386516, 73348733], [73612085, 78334545], [13470117, 98098939], [29143629, 7767186], [78723169, 97101617], [46620279, 34486709], [35152677, 16295469], [13954340, 37999118], [34130803, 33582543], [14113206, 71590644], [7064764, 79350775], [32299618, 90297712], [91460937, 43791102], [22805262, 68017053], [14696624, 74313464], [88206338, 61392230], [56541459, 76871554], [68986810, 67024276], [47583256, 48542909], [35964076, 69665974], [84908507, 85254913], [35099058, 65836886], [19762441, 40952017], [43235622, 40494961], [31096869, 11926922], [18167702, 35686899], [37399241, 89974128], [53061424, 82281547], [61189536, 74865146], [56805596, 2754712], [4510774, 83745084], [4705901, 97408853], [69544748, 82378767], [70530496, 65993515], [91244876, 67016289], [95154322, 49246074], [87321490, 33876083], [20255193, 24436], [85070886, 19183202], [70182622, 33455606], [94840361, 77758062], [49310138, 82835463], [60344805, 56365360], [92988410, 42571227], [46832133, 14550192], [10332765, 38657105], [19928081, 86627315], [89242499, 67968825], [59399039, 39833864], [27223161, 60818911], [81560072, 66909682], [37552429, 37090452], [55600523, 1805043], [11541195, 94311735], [30450547, 60156401], [62733084, 82489999], [69236654, 65800447], [29324900, 58142606], [17361578, 67341280], [83472806, 4280529], [5781719, 11896677], [14013287, 56708649], [71423314, 27427821], [1972387, 51280316], [35398388, 43450202], [10924325, 38708715], [97367680, 30907998], [56501742, 52292139], [82198924, 35669571], [30470671, 54184814], [90481033, 91681974], [86345738, 4340279], [63834459, 44707640], [67703662, 16857541], [4934879, 24456421], [83554849, 3420926], [11693227, 28561400], [27981952, 3892020], [29499609, 21751530], [87408445, 20664903], [32293791, 11027530], [23890746, 48331034], [20971867, 87774952], [22645957, 63762654], [55919835, 23070645], [22277277, 44201286], [47734957, 26810298], [75939018, 20690167], [13110305, 99272219], [91646274, 24748779], [85105453, 99891391], [19344736, 4882032], [45850643, 9812373], [67799195, 94071347], [26086325, 41962634], [59644596, 71893139], [48789286, 52221153], [93086761, 8705106], [47092034, 90829280], [71349458, 54999083], [4119149, 65973347], [83679344, 19483329], [25311127, 94756261], [41692966, 33729321], [6180235, 69025841], [33098533, 66856498], [48656864, 45268604], [93174686, 56112663], [55189822, 63955294], [66420000, 35691621], [8208462, 30405793], [57715239, 62487122], [69832660, 4705066], [65233308, 50646481], [75588316, 37764172], [12992167, 294807], [85179091, 31027314], [17357719, 43178872], [48007178, 58518979], [47086029, 14956217], [76357553, 94973160], [24516134, 923907], [50060860, 14053591], [16871760, 48286634], [32893665, 95837897], [12891056, 85392250], [24539502, 58318981], [73375950, 91488402], [36159569, 64166899], [10703384, 17325970], [70150375, 58188068], [98092185, 62236110], [92697361, 86622114], [52553714, 64095492], [80736093, 36878081], [43684571, 72623101], [3231527, 34575368], [57367948, 18105789], [73630040, 17464183], [96409163, 17079563], [95972289, 16135629], [46308020, 34135062], [58095482, 79230060], [42105910, 55519413], [16405405, 64668943], [63190378, 2391716], [57292013, 80702700], [76787426, 51038132], [56997238, 64833985], [91101307, 25813012], [46006616, 39247820], [77651277, 34010814], [27905229, 90520085], [83357941, 20762260], [45410662, 34295324], [68300567, 34676763], [16127210, 42629903], [76129811, 14548566], [93029734, 59604327], [77189418, 33573503], [78538638, 69935930], [47365360, 61416126], [32762526, 7035203], [74173979, 24224591], [39196417, 59725267], [17826775, 65773312], [31845575, 66697700], [57382159, 67080978], [8218267, 38886070], [85236121, 37732414], [51869394, 19336494], [17482446, 5384027], [63970960, 81199289], [67016500, 52949568], [14264489, 65246438], [18724437, 66202188], [49256487, 77260803], [90987001, 61994957], [35617863, 8784548], [47632991, 37409389], [83512424, 3581997], [68751768, 44323403], [16644169, 7358823], [41971578, 66280619], [29074350, 37074068], [20621637, 63066394], [86266060, 35410111], [12889807, 35869655], [60040862, 8075130], [82263844, 96250257], [13661593, 1772008], [60425076, 97470693], [45263164, 81683297], [40362408, 38940888], [30158277, 88426593], [74925649, 48977180], [4220732, 60385526], [42808770, 49264242], [30494307, 40566720], [59662283, 66620515], [25473337, 64058314], [44658460, 7177545], [59673702, 21421874], [6181124, 10383997], [62023224, 3526933], [42667690, 6397064], [77476921, 57859735], [83116915, 28375429], [90560150, 31196901], [55006459, 85621532], [42731238, 27724399], [22597811, 30476998], [14400241, 14792516], [33692182, 29768658], [87778556, 15571667], [2449610, 92259265], [72901441, 94737605], [76225706, 35144179], [41283129, 21239779], [16391452, 28591319], [47283798, 46934771], [47199614, 10171025], [83694321, 2703790], [7885893, 49297896], [73810324, 27519874], [3335687, 18005492], [34187524, 18338656], [76044311, 22906916], [30589850, 98103430], [25934495, 59625111], [93299619, 94824405], [59948696, 40874315], [1276640, 81252015], [76598245, 59460090], [87188958, 96655657], [79451654, 87871057], [1420770, 76032938], [73118479, 26652160], [7922746, 75253131], [27231521, 1535742], [94463381, 76390362], [46716124, 37047429], [1750579, 8813708], [39478470, 43858594], [83303613, 74787240], [47344101, 95333305], [452679, 73474890], [26929691, 13422310], [17422338, 64856388], [40347092, 22284654], [7724907, 92894969], [68616733, 71952041], [50114466, 48318956], [96629584, 62845524], [11663168, 34428437], [59746544, 67894378], [12697648, 21328549], [2825035, 94258691], [74908978, 96118610], [3350740, 44895297], [81843341, 21405389], [17319662, 48968851], [9445157, 1507648], [50436156, 20739348], [42984816, 1038461], [83041681, 69436153], [19552857, 10483913], [66176702, 81670583], [26089615, 17202397], [93060143, 87300975], [67900645, 89492446], [64149822, 94990398], [17763661, 60592436], [20307312, 33549223], [99619489, 32793752], [44230303, 56545045], [45733551, 30779468], [8594798, 18215437], [9660924, 23950853], [49412693, 70430196], [31345386, 31560798], [767799, 18642103], [84131245, 46540198], [52978756, 22294995], [16667123, 22615893], [73111535, 58040135], [73903129, 79596446], [46922086, 44928479], [46526931, 29334658], [85738820, 65841836], [74002831, 50343538], [23032042, 70816120], [87625878, 15702873], [81808408, 32404578], [52667649, 18419743], [89111833, 5269132], [12045361, 19500473], [13506469, 66649944], [67540625, 2989455], [17602104, 3620687], [44377799, 98487303], [57346209, 10609506], [70890427, 24445523], [12560598, 10881649], [22996614, 57212287], [20507387, 66609254], [46727780, 54218429], [14381854, 9002232], [89750367, 59262281], [88531293, 31966565], [98023631, 1702957], [98963428, 31346654], [3070241, 18281949], [63295433, 55776672], [46809655, 96306613], [44939930, 91201836], [20414546, 98163633], [83542393, 66648547], [22458169, 36495975], [13977893, 63259890], [97117960, 33571741], [32952644, 82872236], [20424737, 88039568], [80501354, 10871755], [80305791, 36344902], [10661962, 94278248], [14499944, 15379503], [30164007, 51343329], [75993403, 99702436], [90430966, 48591760], [21849169, 24272281], [46323448, 60205988], [93003630, 8608147], [32554844, 21150189], [13582544, 97698843], [88974120, 64140508], [87908367, 43120509], [95231952, 59125264], [34075485, 51842968], [55353616, 96350712], [74543888, 56950913], [2914728, 43613568], [65285633, 95752906], [36854450, 48200342], [85952807, 26830428], [32506597, 88606821], [75312763, 5597685], [41981417, 26130460], [72319558, 28859578], [15036677, 36716835], [8792595, 11960319], [73713522, 22044337], [35939100, 98151325], [22429413, 45359663], [43610242, 83844199], [31755499, 72684747], [63849522, 50186606], [40394428, 94716616], [90253847, 3361186], [17621283, 44755882], [59781806, 34135742], [98091124, 14280448], [99002330, 21925320], [20406847, 15031737], [78895832, 708477], [39058202, 1451511], [63227791, 2009897], [37584386, 32731200], [92756284, 73753053], [57506122, 28010938], [50110115, 75355023], [54869182, 18702517], [58573363, 80554211], [10031799, 76159707], [14114633, 22711436], [12995584, 47076595], [76123553, 58875210], [92790010, 13804683], [64567049, 12248389], [83286920, 3631577], [24089351, 90441406], [42467355, 33432122], [79167663, 33685677], [71582671, 17105585], [18045056, 22044281], [98874452, 33550958], [91018636, 8473309], [62159162, 9351906], [9715890, 77264888], [51714691, 82670255], [19817826, 28247355], [61981190, 60182864], [46222497, 3187872], [81877628, 74182342], [58211927, 72818005], [23182015, 53520264], [35353098, 86501378], [76922818, 69146610], [90876067, 15868878], [38251727, 81940292], [76509848, 96964307], [50650384, 58705582], [69337435, 45448441], [68245328, 74243147], [38287521, 75859748], [89105181, 58911428], [82670790, 39654052], [48798824, 86106137], [41177851, 71227298], [11788108, 84373066], [75710681, 55583652], [99103955, 69610148], [38596199, 73247828], [3797991, 64622832], [69131818, 90245522], [40445200, 21661875], [67913762, 69000022], [10723902, 75554541], [3043802, 97556603], [98907683, 89893634], [83513889, 1640404], [22314371, 2760346], [93963466, 48056650], [37510273, 64308409], [17793927, 90504313], [24290318, 47397371], [81858198, 81602745], [46871993, 88530219], [93186080, 99884595], [31937957, 10636449], [88434264, 77390289], [99684995, 33317918], [84606601, 54284443], [34486747, 72229755], [21807374, 47273918], [17883419, 31180049], [45883097, 78530125], [1974874, 58740878], [65999662, 62232830], [21026896, 44430783], [5168199, 90649186], [43379761, 46182918], [26587697, 6846881], [9196809, 95786941], [68244888, 83436142], [63382036, 5578084], [82882227, 4474570], [61553589, 97892726], [84044958, 49446558], [49745943, 35015885], [70099767, 71531775], [94909091, 21149118], [82135187, 77427696], [11394231, 81976928], [18876563, 76316986], [25735691, 37848189], [87561689, 81380887], [12524873, 12509648], [13696947, 54577151], [65546389, 19835046], [68973729, 24810297], [49362693, 68883590], [44157039, 35596394], [56781096, 45910737], [5061704, 18967513], [99050529, 11318870], [57065598, 67056564], [42769217, 35498878], [83325519, 86386338], [32100545, 67354567], [24967875, 3480603], [66015662, 30192570], [79541840, 73227819], [76103524, 81551164], [31605144, 40627440], [39582743, 25400410], [47504914, 77841898], [56387402, 10073000], [27594567, 96970803], [62549845, 8592080], [74983047, 51989349], [10157298, 10945735], [72960488, 54497256], [13101026, 60360841], [30241185, 73908192], [31484908, 28204939], [4498543, 79343728], [32359584, 5849654], [15427829, 57492811], [86449603, 67443645], [29094143, 17461775], [52225083, 51318692], [96043336, 33961815], [84835463, 96913330], [61149033, 92720143], [92199869, 69452638], [2987008, 41542081], [16754175, 98964979], [55349522, 79623468], [64318270, 33440317], [24037281, 34791870], [59386540, 12602412], [91485809, 6080893], [3630171, 55973296], [90266019, 34279032], [83862071, 44411684], [78485850, 60080223], [61651036, 89474387], [88687590, 10113420], [2460946, 25035354], [39654908, 70139665], [25254605, 42243778], [86360643, 13609759], [27387426, 76899887], [40173445, 96393848], [33550419, 99048667], [77111331, 30543883], [43887702, 74632621], [84081135, 97584160], [83643359, 26834144], [9861423, 99894602], [96501195, 19196987], [79373359, 7315426], [53939289, 19425296], [61319685, 49946445], [58988403, 84807549], [70748128, 59261494], [19315305, 15242571], [76157174, 19945783], [44670322, 75890430], [41220359, 22692926], [5851318, 42195961], [47044976, 41240715], [54218642, 38720458], [42491891, 53281420], [22532518, 1934119], [18783628, 57741102], [69902800, 86548853], [23472643, 1048054], [4788306, 36731387], [7061124, 85354972], [75131062, 13447153], [89328050, 19601063], [18672004, 97662456], [31119490, 53965084], [69894308, 4883167], [4574294, 45341597], [5413539, 25971618], [58663855, 84716279], [94264599, 93669915], [60093623, 40124941], [36013911, 90613590], [85201223, 99537885], [76742165, 9684054], [37562068, 62029062], [74300772, 73598275], [93071898, 29775132], [96506762, 62779108], [39898678, 20086570], [79162650, 38547607], [32544506, 24958333], [70150571, 75213846], [92294859, 60291601], [84111009, 9244957], [23708627, 26474523], [9577632, 53742700], [13738675, 66477971], [91780192, 81862992], [91093809, 2369115], [16726339, 47527921], [38487191, 84244044], [38075030, 19703637], [69788315, 89756048], [73990447, 28858522], [15281707, 23354886], [58268637, 76956218], [38946623, 7464982], [17877411, 3976705], [3197170, 77668037], [17290554, 10097779], [85753867, 56537438], [60239686, 35684709], [15753776, 47031028], [83533290, 43783580], [51465624, 69385072], [74722875, 16039990], [88708938, 89790173], [50080237, 19766403], [2452833, 66866101], [13239626, 54192844], [93823653, 55719321], [66728053, 5045964], [60090164, 39887657], [54749615, 60864926], [79213579, 94394384], [74454782, 30816338], [11115196, 23328002], [78304863, 62427411], [11867126, 41616215], [38425824, 67893093], [39885756, 65539619], [33087293, 9944431], [39043207, 98055067], [69825760, 52899699], [4357079, 85627233], [96470216, 63964266], [29181086, 47536242], [93954465, 99172308], [38726358, 28062743], [73599990, 21283455], [22862585, 59643139], [96565763, 65180760], [22435419, 90261201], [68543565, 37145722], [96013400, 41446992], [92935194, 21336163], [87763412, 72231286], [48824690, 23596128], [38049148, 44400751], [15879904, 63951128], [44081339, 78567501], [40752460, 90799501], [75865778, 29316809], [68488597, 95888434], [4796822, 84046259], [29544560, 78705798], [65028540, 74212470], [58919526, 57281407], [89114953, 24601985], [63364947, 6192759], [78674205, 70700230], [39273714, 37681703], [28022218, 79946540], [10164799, 41776632], [38659806, 98454210], [91644449, 64116988], [77538206, 15770791], [74871976, 10841718], [54372341, 85230596], [89456589, 96213933], [65091497, 4633126], [18262253, 37318335], [83130185, 47123853], [32330301, 53452053], [73051112, 68965512], [59432919, 52496133], [66422838, 44820852], [95189046, 27421369], [25584741, 5452732], [49281925, 38606659], [34446635, 7816183], [99382811, 89397814], [46950226, 3437906], [61969833, 20874605], [35557848, 64720782], [12594407, 75446431], [10756509, 83063235], [27729283, 88400929], [92427740, 21921205], [81701307, 98543178], [95778263, 35124875], [74426629, 21039938], [40488358, 36248213], [41138935, 95011838], [3169293, 96000611], [48337260, 83555759], [54411556, 85218464], [45906674, 40646396], [52826935, 59599007], [60185877, 82417840], [2262611, 51033551], [96582505, 53616167], [8744094, 10347607], [46159847, 65522412], [17297058, 93212466], [18125249, 17653898], [92390673, 29552007], [56148314, 70492690], [15258714, 41296913], [86381537, 4199259], [29663672, 84390598], [76735022, 28221380], [45467744, 55521411], [77015884, 92004740], [37764601, 92578534], [62393853, 23140705], [57197036, 33281438], [72483994, 62886858], [83955130, 51437066], [48319673, 53498148], [22305070, 65722036], [9719376, 23062272], [37522210, 43615679], [71663643, 33765534], [37691640, 26174907], [21467070, 45364254], [65075105, 38460671], [11722137, 14126198], [39983166, 34446281], [25907210, 34712099], [7755262, 5200477], [74125801, 53738469], [55958364, 93963214], [83527602, 4641584], [63118054, 40160662], [19859425, 20320849], [18782670, 56103946], [81221701, 66318556], [2753713, 4124933], [82291115, 21496161], [51028386, 48806718], [16367830, 57539856], [99766900, 60868676], [5040094, 66597715], [9725356, 16515972], [30915592, 37157883], [93810538, 36002913], [56169357, 50946160], [7007819, 31494882], [37687145, 36287823], [52091243, 97726934], [72447065, 24207915], [14102962, 33789067], [57297735, 47149236], [10149975, 42907677], [62523189, 3122497], [19729232, 51013918], [26738164, 13522511], [99092219, 22962095], [64255224, 44203047], [5452064, 89639163], [91706570, 84434449], [16091773, 84081455], [6146224, 71444301], [12142539, 19478676], [59173604, 32122744], [5149659, 94043665], [28090045, 44375403], [92366821, 44109176], [32031708, 94482938], [14939122, 40476053], [78563072, 54341689], [71820119, 44177286], [53761422, 85853238], [23935012, 57210246], [54827117, 99033807], [67446650, 96048847], [14637901, 44192990], [7651743, 60365843], [59961613, 23283404], [85757321, 33570042], [63586440, 34936553], [92016440, 57176377], [44614393, 20184278], [96681878, 83360381], [44102910, 3948571], [83929657, 9302135], [72900141, 31275616], [27025285, 4238907], [71094898, 79244222], [47149792, 61848609], [98036308, 64830107], [5896369, 20715435], [31925366, 31277232], [56953430, 56897047], [25391598, 81223046], [95045795, 76958861], [39839164, 59882373], [9549518, 1448038], [36156186, 82723918], [39530530, 26484987], [61295619, 36131276], [75394368, 24155958], [41966897, 96491122], [86725596, 57947414], [73106868, 51650602], [8268645, 3380936], [75701745, 82736989], [29538497, 14197445], [32020860, 46326157], [68493957, 55199970], [85790414, 7568593], [99921605, 43212478], [29383857, 79337561], [70339941, 38995387], [42985285, 73650651], [94253371, 51525791], [22698090, 15327336], [85178477, 80992501], [15981204, 26953231], [29331118, 97530078], [9074129, 94996401], [12190425, 75654310], [78205660, 24339749], [35548698, 30492965], [13750576, 60623355], [37609748, 82814299], [97588951, 69020987], [59125509, 35225418], [40490809, 93969534], [4637874, 72212182], [93979863, 38573876], [45493515, 37635864], [22241198, 35204090], [25069180, 40194432], [87710047, 30776129], [82320569, 66155590], [46505736, 99582756], [24351503, 30679102], [95972944, 13184348], [70576496, 7946698], [34581135, 98459871], [46033272, 81333925], [16375804, 99380267], [4886207, 89433521], [5690656, 34055206], [31432524, 54110894], [75672578, 13284697], [41768372, 89659052], [16131603, 4399325], [37352198, 39443929], [28814631, 45387756], [19456123, 23695220], [27567363, 24432245], [40703871, 988640], [99528985, 77866804], [25727988, 25943456], [29285471, 87097653], [16040677, 97647433], [5724552, 20112951], [22280938, 98276751], [30594084, 84219948], [54012058, 72202592], [3867044, 9621857], [74838780, 81208070], [576595, 55937137], [30214296, 54330974], [62305383, 13601045], [19915450, 72301903], [96450309, 28328549], [97183944, 70017152], [74920732, 37730990], [89281900, 57362953], [1295709, 4915162], [88795814, 17538840], [31495846, 29414156], [4100779, 27659074], [91488541, 1349637], [76179568, 53785965], [15982739, 93851031], [84280427, 66046022], [13875463, 92846063], [58769240, 59656047], [98798821, 26216175], [25102628, 28735107], [49841201, 94398053], [44070847, 51594845], [25180292, 95581615], [79284423, 53621615], [58404614, 8769700], [96959481, 30284502], [46226380, 93274493], [87699585, 36034865], [24720837, 3851567], [88246110, 71153867], [41833675, 7765711], [59641147, 54946511], [58622037, 86371744], [83092540, 77326243], [95880338, 77326890], [52581953, 16984179], [10749396, 84006930], [25141273, 13467115], [15240973, 44606133], [46185416, 40807899], [55548866, 70075863], [60876719, 17951101], [70398450, 94639022], [19715811, 63921103], [13522791, 63511614], [74863048, 6356714], [96890986, 51876399], [12542527, 59976435], [34069097, 72225823], [73961077, 42510006], [583194, 39976438], [80829582, 39311626], [66287989, 65490934], [5696288, 3855327], [70369037, 21727403], [64152601, 38447985], [99499571, 16678790], [39044011, 37356578], [13958696, 1638212], [3789404, 27717931], [89686736, 68894710], [10020102, 12362371], [21158041, 68132520], [17767434, 59449383], [56835342, 72861764], [40164692, 53569896], [56215391, 13064900], [76867746, 83333652], [48027363, 95259606], [24554495, 21158553], [10196511, 51881676], [55167206, 46538447], [27361651, 48938242], [10014697, 78868207], [74803641, 62435741], [79565095, 72690844], [21349746, 71971020], [71892185, 35727659], [29612730, 99312096], [95334171, 31393638], [10333353, 49955775], [46794966, 26816265], [25417642, 56139333], [35454388, 22262984], [99094608, 63309872], [77486359, 12526484], [12132367, 20995291], [35295359, 19814863], [99525351, 92649639], [10290749, 59315912], [58096198, 98059212], [36687639, 32667122], [22720684, 7869165], [62771599, 18052383], [84939958, 49981062], [23641349, 24555851], [78475302, 27868531], [97584940, 20932935], [26166323, 26631707], [95902213, 20931691], [37898945, 96985981], [4054103, 32277088], [81132144, 33424447], [88950128, 16826919], [34191221, 75036942], [23877775, 91998834], [11955818, 14773489], [23664992, 75572499], [76958839, 94151755], [35186518, 49781836], [17903083, 1629714], [33064980, 79071836], [76846559, 36308046], [26513308, 37933658], [62269861, 95962490], [53869735, 54601758], [39737300, 22645933], [85420938, 61265409], [24564270, 2261813], [10106885, 42926094], [59721032, 91342185], [89267102, 62511520], [24282349, 37840962], [54894538, 67578868], [56842957, 40769363], [19067788, 4699278], [5480293, 10632951], [46778195, 79324600], [78759648, 7971069], [7587903, 68894898], [63550629, 19138696], [79694802, 9324081], [28109437, 88164276], [32883369, 91326134], [77397654, 83565819], [48748870, 46618009], [48412698, 29406780], [6897965, 22225955], [89170200, 82360756], [64740386, 35147937], [20985495, 32809836], [79126922, 61240396], [49197066, 13629473], [32422101, 47967039], [13970623, 62380452], [85668221, 76979686], [66671052, 99494345], [32464108, 31148873], [29252498, 2607504], [18278952, 22545434], [58056429, 19151022], [25352864, 2992116], [49740675, 4315514], [73299739, 58077527], [62586132, 27864976], [89413125, 19956630], [50521134, 63691273], [93401103, 97755709], [54727759, 16375966], [91760580, 13399885], [96707224, 41425028], [30049324, 21112004], [74097910, 15220059], [42402112, 36731885], [95565643, 50558345], [23193346, 10156221], [43022288, 31330533], [68790022, 72965690], [67937543, 59150524], [94895431, 11663353], [44024834, 4289652], [35169053, 30159294], [59586112, 95742343], [88611494, 14967383], [59170420, 69418796], [20806122, 2405885], [26717006, 22799589], [16812284, 6519447], [34424352, 94696070], [28421043, 55102497], [24140061, 4534555], [58353289, 19334856], [91567133, 14729943], [1862220, 47476178], [5975758, 71670930], [62884768, 69186507], [97214555, 68130002], [36804429, 4992804], [51388515, 5417617], [88822368, 7040010], [85220791, 12930276], [94026617, 6879930], [95814812, 66949424], [80524497, 5735888], [89329471, 60242763], [98417763, 98502973], [41464428, 64472549], [1201106, 66423678], [45335668, 74321707], [30969099, 22488278], [85942918, 71313460], [12727392, 99595189], [50117563, 49083441], [96435691, 98606550], [63776160, 29820347], [24778388, 42283102], [99847546, 28162729], [13561056, 17376608], [11439342, 6671543], [89036838, 15270778], [12596701, 89416862], [53261628, 18544746], [70837132, 15122810], [70003798, 67125910], [94641106, 73205815], [15096272, 92750892], [37120866, 51576194], [9608276, 69245066], [32789321, 90481986], [26012738, 77455919], [47053989, 58562360], [92729621, 42737878], [26181614, 24190254], [47445126, 1010460], [40267840, 26518862], [12179176, 42200774], [82658027, 50266549], [12113808, 42307088], [81944412, 64432993], [94346189, 65282535], [70899310, 17710425], [58495320, 43611140], [69970478, 95155858], [15219921, 25144027], [69267096, 56101141], [70820312, 40816320], [7139309, 37331379], [70209750, 76022273], [98417074, 43657598], [21300136, 64697057], [91352420, 50052783], [65790666, 83261475], [40823618, 90457769], [52207777, 67230655], [70278953, 81847450], [7803644, 24053621], [915571, 16555786], [53224490, 99917731], [38998096, 93030615], [90433566, 38045847], [10487415, 79060911], [97034108, 31120108], [35592853, 27117494], [32459791, 80424379], [11181275, 27109978], [54540454, 54688991], [13038313, 66541694], [42704699, 60385061], [32027214, 32818521], [42737955, 21391158], [79769304, 66197827], [89115267, 79718986], [69273430, 35683820], [93433138, 14967566], [74282785, 12724700], [22312232, 83076374], [95670723, 96380374], [80769082, 30675075], [30708234, 84888680], [66682, 12461964], [40635614, 26805456], [15186182, 51949991], [85331103, 24196184], [9025874, 593885], [34121353, 45265403], [77409858, 84301895], [77181407, 27127052], [46699691, 58276813], [23696369, 49518420], [44993023, 3082164], [80854636, 45490275], [20279675, 43276532], [96779665, 30897856], [26343079, 93712876], [13803049, 14278610], [75845966, 16721214], [95441892, 93240068], [65677666, 90714887], [76918997, 65190038], [56642470, 22144292], [22032725, 13467196], [76085473, 12671528], [53609980, 44531396], [33178218, 59494439], [17945874, 11333372], [25971948, 46146469], [61258700, 33687799], [90525895, 60567594], [88242356, 28954356], [41351676, 84160936], [80184050, 57546057], [581639, 14194543], [56069623, 77202345], [67573537, 3852937], [21169716, 4389753], [86216369, 67321692], [13361687, 62961030], [50034720, 5278728], [21415431, 98501124], [9984097, 19847326], [54892475, 14992496], [49905578, 99773194], [44423812, 42650128], [67281833, 44755941], [24335849, 35569281], [10654185, 30696219], [54536774, 50410217], [45599606, 69768660], [14187314, 93946232], [63775369, 30539064], [27643971, 57858776], [27938804, 46910542], [28916366, 32197638], [8954361, 80384320], [49266740, 35956757], [87518380, 51986133], [94386698, 7739802], [96684769, 94598365], [10381522, 86395712], [57104134, 39699698], [89608957, 55903838], [93533632, 59069649], [48254397, 38251198], [95821518, 86228952], [16413300, 11337575], [81608254, 18016366], [18216612, 21556936], [38012726, 98131853], [19980144, 49568964], [40093196, 25530352], [6091651, 88578116], [31060674, 81842441], [91700851, 74353749], [55441245, 61044800], [57654054, 56061730], [23274486, 64873438], [9046695, 64096277], [42466401, 97351637], [70525648, 21554745], [21988455, 40009291], [90332523, 97692778], [38460661, 79591779], [25550948, 76894427], [14386234, 84315762], [10029672, 38245711], [19341723, 40980213], [60275452, 67026068], [36942226, 56337256], [38459790, 1216900], [30749438, 49268708], [54656278, 90806442], [60996269, 34167020], [62333676, 97908642], [62862911, 39058201], [75751901, 42541548], [23394748, 32484286], [70435937, 34750787], [67687431, 6420957], [11100568, 99318859], [44449907, 75955263], [19736624, 39376319], [97377612, 50407449], [95917238, 31834374], [29351860, 25545642], [66637798, 57589884], [47478053, 15034610], [6605369, 41898147], [98305965, 68109812], [85790940, 37553284], [93101444, 45127470], [68314836, 80085715], [11408894, 54122680], [71955244, 43508680], [2071155, 65724721], [82204421, 90521394], [44755806, 10965565], [86384093, 72065861], [14756142, 95981780], [86780141, 91606611], [14096476, 44653116], [2379396, 86641944], [5665225, 64001811], [61830594, 37993993], [99609659, 69267935], [70034857, 61771273], [13376615, 39129429], [74638256, 93658009], [67183386, 96547110], [64310963, 49948899], [77538784, 73544258], [27816203, 92462523], [17369786, 10363430], [85394673, 86420628], [8324199, 60400056], [78910860, 88121492], [70342602, 38971489], [45917222, 86479483], [77551396, 74772972], [99128288, 51652298], [46339799, 5002116], [39405453, 71375568], [90676880, 70901111], [13684246, 52282798], [49573594, 13756069], [17792374, 22517267], [2935570, 5622351], [25232544, 8469774], [47389429, 45963484], [83818659, 34824276], [60557755, 23817137], [10066076, 98494116], [49222632, 54549603], [70622309, 74088250], [73463505, 30563264], [258580, 60655497], [54172703, 68849425], [82695046, 82161379], [41349628, 14468269], [59194126, 28103466], [110596, 94399952], [32327904, 38051532], [23573446, 6707726], [54520314, 23876627], [41616031, 43889411], [50209607, 50085129], [17235604, 70964773], [66185022, 57369245], [59166988, 75180696], [78029538, 3764830], [57342002, 97643554], [39266364, 71674579], [88175575, 15288637], [33238406, 5155852], [67386630, 96954672], [61661129, 60075143], [4979231, 48317656], [42514863, 21977706], [52354701, 70324140], [20169441, 74846370], [67360960, 21311443], [26240617, 69634914], [12027289, 32581567], [74044251, 131034], [19866626, 14432271], [89271637, 2438581], [50107804, 7007761], [35647892, 71565794], [19547614, 4166371], [7583633, 8214354], [67449491, 1549631], [81998962, 22861649], [45886585, 83646064], [3219567, 25433438], [56948794, 43510808], [80163293, 80540871], [38118074, 45470822], [54529863, 4680183], [31919609, 10953059], [42516260, 41200769], [40743737, 59630392], [6630557, 4713902], [85806579, 3014636], [5678430, 48270615], [36742663, 77083311], [74700982, 74128485], [62229321, 58352851], [95019875, 42853754], [33414240, 50976038], [74175508, 70480307], [82109573, 57356644], [36607130, 26295460], [41063850, 74466776], [2776927, 51087934], [70764718, 41616867], [21503351, 34089733], [89545568, 4517282], [36789105, 54479616], [58784731, 78644531], [70736065, 34332292], [6336924, 85967559], [27038033, 32338844], [64565244, 32349379], [27267341, 94988808], [26302602, 22748123], [61462564, 7418039], [3170414, 65636778], [89574748, 77001259], [94109125, 87828136], [352558, 44025035], [56272173, 29685407], [39859441, 72567900], [57012909, 22724988], [99176364, 72475016], [96409487, 6476264], [74788668, 80821639], [12451658, 9581030], [14082220, 47193476], [36483559, 65561911], [35521885, 3060873], [66077742, 80530078], [26670332, 19046118], [58050307, 12377266], [719531, 54401792], [24218388, 36382546], [20435275, 97689965], [40097140, 50539321], [75599706, 75010468], [71767689, 98533388], [98517341, 12719402], [90872387, 29526352], [75252277, 2930018], [76154637, 54762837], [49972705, 26572084], [29016457, 77602725], [92362705, 49324206], [99649593, 3953858], [4297827, 9267231], [79901292, 71198954], [72287094, 29752956], [89520262, 58558151], [88386542, 87937421], [85626692, 55171831], [79857809, 42012803], [94959847, 99016776], [37727035, 9863893], [35720221, 82293396], [41861012, 90352920], [54441246, 27295657], [14308174, 80874894], [89447047, 72811426], [28717759, 31544144], [57420062, 80148026], [11036354, 57412905], [90628669, 45086770], [24496473, 57332125], [63333667, 42627381], [47560937, 20398846], [50838430, 39206833], [92448144, 28813985], [25649450, 87530621], [97816237, 84240516], [75054287, 62766401], [99032260, 41000108], [41028925, 95427326], [51137039, 70472915], [57014957, 24028448], [28843118, 27921583], [84046971, 99615111], [40506228, 38298220], [95228470, 80196609], [2556558, 4069231], [51769442, 42494134], [70547899, 46071882], [97529118, 24759204], [17739434, 593199], [70422293, 12379386], [23483342, 75762874], [93205968, 64374216], [59770372, 80785570], [5270589, 59679487], [14601409, 95872397], [52675514, 42967654], [76101047, 63193055], [2552209, 48871974], [5159235, 37045027], [80934428, 7112381], [18356426, 11546319], [26709875, 86382479], [94454533, 44515007], [26379029, 14916730], [85480297, 68959869], [4070399, 38716377], [42232614, 23753712], [52123156, 7746164], [22258273, 73996797], [81892519, 94805302], [2337860, 78546446], [57896828, 22768801], [98339930, 12393543], [15590757, 23088262], [33069324, 80295477], [95514589, 9273286], [85934103, 32167721], [66597620, 40932708], [68678952, 11499061], [62846366, 99312716], [34580536, 32349808], [82350322, 43964253], [14541780, 61527615], [47886603, 10496397], [679591, 60450733], [63313441, 84575800], [59764585, 85617376], [34561854, 37138169], [94371318, 70006440], [52520103, 48571877], [15276200, 42356454], [43318600, 94138755], [2605058, 70435912], [2456233, 76990100], [23061169, 45158610], [48324170, 89514490], [56438238, 87535373], [30384642, 13200071], [84935899, 69798678], [51640574, 3819783], [59474342, 90824860], [45990232, 6028561], [41404340, 76906600], [74572559, 1675564], [57928421, 73650601], [89721352, 48595070], [98757851, 21397285], [33194946, 25329815], [38290870, 63562434], [84012666, 72508663], [62253200, 94930210], [58804156, 13335103], [93951063, 9432585], [76761119, 11817192], [64183388, 53324212], [1616058, 82655182], [55730976, 85899686], [19600194, 32022823], [8734095, 73429046], [45688141, 89757718], [91582361, 32575195], [18768283, 7309735], [82416440, 23510043], [89238, 86076548], [39754125, 48768109], [57469274, 82453979], [80132300, 26861679], [24708904, 87267078], [54165258, 32382698], [59362103, 8128321], [74350820, 56692738], [36369082, 38020918], [61394400, 50519728], [90686750, 62765470], [54322652, 67207609], [18874152, 91985811], [41099975, 61183790], [83734906, 68816148], [66883498, 6952612], [8884957, 18972901], [15410096, 2597854], [53840904, 26588973], [82970090, 2136657], [96885168, 79044228], [31666704, 55813514], [49206221, 37506273], [78344986, 76094329], [28207138, 94663807], [9782222, 11713424], [71119527, 15124143], [79904016, 36632126], [44259563, 72463598], [3317729, 79520541], [84379448, 35518775], [66777988, 82201096], [36304837, 16507551], [36970191, 85001857], [49965898, 36371373], [4018926, 6240643], [28946620, 53425682], [14007159, 1813164], [5688343, 96348695], [29415807, 8464645], [71702701, 17239973], [73575956, 40303757], [81757595, 92329933], [76793448, 82789777], [32354765, 51118822], [36689246, 36903746], [18271822, 30271389], [95691233, 88511752], [54068749, 79186529], [67794810, 23339233], [86863188, 76030091], [3631132, 7860151], [19320268, 63882689], [5492146, 66447350], [32481066, 68574480], [43680186, 65247059], [96924858, 54907630], [13873360, 76132583], [89602159, 29272488], [13211091, 14497157], [86676058, 64638879], [35701467, 40639403], [13197620, 76977492], [56364928, 83184344], [20510246, 62867299], [75437123, 25961278], [12887715, 10525008], [27678463, 57674917], [58078504, 17355202], [55385404, 50950295], [12803383, 37037315], [31472005, 4542409], [57695744, 10868724], [10358688, 88385416], [37492464, 15316061], [92890241, 71503872], [36309231, 67760441], [32087841, 29229162], [95904972, 51540969], [10375297, 27115928], [42431507, 69033038], [26482583, 32631190], [47468846, 51152733], [42240390, 60551683], [72561589, 11607026], [58847517, 60029368], [17067418, 7038480], [99611261, 34030184], [81096538, 83470467], [54702309, 75696977], [37651473, 81017492], [74000298, 24525618], [83327323, 20641636], [48192435, 8744896], [89053867, 35390646], [38922301, 52593211], [96480845, 30009029], [84918001, 10361958], [76658195, 21844395], [35905632, 87686551], [87911341, 80868793], [31943716, 88072590], [27581723, 24648761], [32439823, 72712349], [18555600, 41490647], [90947294, 30627855], [18536989, 86712405], [48203105, 8068734], [88132695, 36378470], [77577100, 81609265], [8582393, 44435040], [78296909, 48785637], [6005941, 51614880], [60823708, 36341727], [82648815, 69601261], [42798222, 57776842], [54519027, 84738541], [45440475, 64653806], [39150618, 86065182], [50079074, 86390437], [57005084, 77260434], [36172076, 72935712], [33883937, 25392969], [20370957, 7185338], [34342072, 84504678], [26995073, 95911436], [60617301, 11996737], [34585848, 85990807], [57004034, 15683944], [22330927, 22362878], [89008818, 93076540], [97623037, 57594981], [39101682, 9901728], [81652955, 81270843], [14542090, 53112996], [77219956, 45428881], [47037292, 53303856], [71118238, 38857440], [92338033, 4752990], [81489652, 11163772], [21082933, 48110252], [24427848, 52202324], [80895061, 48712468], [71162078, 84558521], [16171097, 79270689], [14257393, 65895963], [27319977, 72062131], [16800709, 21659295], [39058138, 61569734], [54947379, 88509679], [11857411, 99814365], [85848885, 13514590], [36137628, 63349788], [73839963, 76095732], [54926067, 55148049], [68440969, 23372593], [26827087, 39542864], [25183460, 40146888], [12267902, 4481871], [8380601, 59168825], [9746454, 79555430], [9294295, 20913517], [59347229, 83568217], [93156217, 14178226], [54742217, 38841260], [42765707, 9004263], [33399760, 1432227], [86481948, 65105049], [18201948, 48298604], [41335458, 55384002], [30492258, 58884231], [28045116, 17506965], [82957888, 47814968], [69273467, 28639815], [48575706, 3087582], [37940272, 55478205], [587143, 65533103], [57884188, 80825218], [16797955, 1359496], [7725903, 87377579], [91728682, 26293826], [8427190, 51168023], [5663559, 92729396], [31094960, 1925844], [39260462, 43025849], [59266568, 69339192], [64517460, 39143074], [77086788, 61443104], [13041448, 33735013], [20763852, 73748509], [71777149, 57506345], [18953354, 66216353], [8827221, 51904563], [55234988, 28365493], [24994384, 40444334], [48672166, 77576667], [99301797, 6429707], [17592256, 67920395], [96384700, 2546685], [46701868, 19901827], [22655095, 78889458], [33951180, 5845768], [90931235, 660013], [2734902, 40814001], [79331785, 99329066], [63106329, 37490115], [47831134, 50775943], [66303854, 7505700], [86167734, 4885168], [19297734, 56768908], [61306104, 20055683], [39237575, 6945152], [46245982, 60135082], [50644461, 87495184], [73912653, 41907605], [83172591, 41190904], [74984472, 19257546], [95755877, 50320334], [46209882, 4659839], [78014049, 66758063], [18050344, 55912499], [78909024, 69469220], [1563274, 20639568], [72617081, 46379813], [52045814, 13267117], [59308967, 57720695], [72627727, 46848976], [11641773, 23876119], [8325887, 8591816], [35258140, 11680120], [62483360, 89854041], [19901274, 6774804], [1843616, 70530030], [47199393, 73732471], [30263263, 16320838], [481831, 65735794], [46667995, 47188790], [64885522, 84851383], [9130735, 5679496], [5393515, 92305551], [88884684, 84755977], [64078109, 52970054], [88562525, 49618615], [46498025, 14038038], [16819258, 96651957], [42267869, 43178343], [40701641, 11124919], [65408488, 11207229], [22131593, 70566872], [56836433, 91288021], [90354154, 19503469], [69169495, 55138943], [64510195, 43940519], [59943379, 55814811], [82628649, 13965432], [83888290, 16357959], [55107544, 28616789], [64551301, 38799143], [37290687, 50259482], [77253055, 76323166], [13949889, 68556532], [74162740, 9892498], [62906955, 9734192], [75701073, 68400296], [79819101, 33253327], [68028186, 61875209], [17092081, 41970417], [33265657, 30563594], [64197471, 60229891], [81840383, 2816425], [74260360, 45696076], [84648370, 27166026], [94543178, 64741535], [39342540, 59363088], [33144655, 45028915], [42073122, 26651983], [85465807, 23656924], [81751287, 52437151], [81347090, 9011656], [41921602, 27888774], [22357416, 81924667], [87048063, 54535554], [84937885, 64800961], [42240083, 74417939], [10851994, 890208], [20185750, 9687424], [47757617, 19777848], [73806512, 25732346], [34421649, 33359286], [17060510, 54841908], [2260516, 26449429], [98207298, 21786393], [58094481, 54251058], [74928493, 616827], [86093245, 94753648], [65456429, 26270089], [83494178, 60700983], [51201833, 84482962], [12584536, 92465186], [59447245, 14578868], [91138101, 50437322], [4982692, 73474445], [83677341, 99069817], [74213568, 35110980], [73522570, 78675774], [98805457, 65799316], [61160807, 71381783], [59852152, 32427345], [48392411, 97961863], [65164319, 24022978], [49683144, 97849020], [18826167, 53123037], [62071202, 23679815], [78937242, 35237197], [67576693, 42340419], [58594359, 50022937], [73376335, 26318372], [35645886, 14325697], [26940911, 23020310], [20287774, 9729620], [55209362, 55080397], [43440524, 79380030], [21519318, 91492994], [83183950, 53743704], [8243721, 54053995], [97464290, 91751600], [91490295, 18183269], [64589127, 14467946], [95256338, 6813038], [71501396, 34689141], [27439157, 5529798], [40438978, 66582540], [6068288, 37109179], [76101867, 81713804], [49052501, 16830729], [24229181, 46183787], [24085024, 6911431], [59559812, 42835365], [49101891, 90606945], [32232145, 73995298], [83298928, 70656071], [91071026, 37435900], [50648758, 41591065], [1100609, 78648091], [21067993, 65233524], [90881376, 19011513], [49142983, 78183739], [32137722, 39187113], [55097479, 65174492], [50711375, 71396243], [8368744, 53113585], [8983258, 78684707], [85203285, 13607478], [72832956, 27068964], [98809810, 1732400], [96647444, 60376172], [99708783, 14995228], [4669039, 53682913], [99693701, 50965516], [1242048, 40846795], [85980145, 35064481], [69264876, 33718458], [9406948, 34366335], [16705954, 51564163], [80578264, 97566424], [17450269, 6659704], [5313967, 36141061], [5188475, 64354495], [48311187, 79153066], [86922339, 25837656], [49365672, 96351823], [48193028, 51644349], [42017837, 20097398], [76569187, 9129380], [83634081, 53855791], [71998241, 16764170], [93857098, 82462698], [28290664, 98722374], [2462460, 30891441], [31081713, 61387953], [59238295, 1542914], [60362545, 58401226], [19892220, 43506546], [1290460, 30170570], [86539587, 76699007], [68861415, 31148114], [97464238, 70413034], [94540830, 94594179], [23906710, 5877220], [95298440, 55511816], [94185133, 82638906], [33294699, 25748954], [10067165, 69477663], [32502646, 6049933], [10914449, 35917447], [43209668, 9929693], [87270909, 57409463], [6862258, 7554125], [91835575, 69732146], [50397447, 26703645], [56356557, 9329182], [93247228, 22197839], [30142071, 72806900], [71800663, 94157608], [82512005, 90174636], [73542025, 72566956], [55504442, 65524064], [32692962, 82838202], [69368227, 84564375], [4736257, 68705054], [66356070, 72218374], [17510853, 96300926], [364494, 22281521], [87580756, 33281515], [34184742, 97912421], [80212322, 70402664], [97437722, 44345330], [35992514, 19515835], [6628217, 17361142], [21691403, 79826071], [15429274, 39923351], [723535, 14519307], [20266923, 5759314], [64372248, 56700558], [8462349, 96915797], [87948563, 41584073], [87522560, 85769935], [72221150, 69896915], [59123065, 69800991], [68445490, 99100874], [76038373, 76693697], [9861374, 14093731], [71964932, 66597870], [26099051, 34206369], [89282491, 1641231], [94720472, 84608824], [83699834, 27518912], [76084074, 11664465], [76627979, 23196289], [19654641, 77116751], [43945058, 69984971], [69091352, 21124845], [66842474, 73368206], [84315000, 93288500], [39207242, 89055649], [61558630, 91071187], [29448807, 98615722], [24391920, 5571865], [54446864, 64939152], [17584635, 90848866], [39697843, 58892004], [73308847, 16963462], [14523138, 35150737], [93851226, 69441211], [67362385, 9008820], [2584527, 59391265], [43015791, 84734780], [58615473, 18565522], [4707656, 35287220], [92621655, 570253], [18865490, 47038897], [67607859, 15440772], [3019921, 50784485], [67133497, 64980913], [31759088, 93575181], [20076106, 83334857], [73727815, 93174845], [84924118, 57131141], [38955552, 92609676], [85841599, 56655640], [35137042, 92367841], [41750120, 79962675], [28594411, 4479527], [20032601, 76282050], [3802653, 2179830], [60617440, 41430803], [45856334, 26736748], [64513761, 76229783], [45649947, 88373253], [1755658, 35259178], [79072203, 90916580], [17282776, 15157907], [89063419, 19630239], [27591569, 55194365], [94286260, 65466613], [88526025, 43034542], [24441915, 97652500], [61479742, 78961650], [76802383, 93159630], [41247856, 63053049], [90836279, 52823485], [7291252, 5637180], [83064608, 72076432], [85532585, 83196422], [76080568, 78394739], [28600928, 45841136], [86956765, 2220103], [27613084, 75291755], [47451491, 46168348], [5449306, 2744852], [46374763, 27670860], [84120552, 51727630], [73142586, 77469006], [98411469, 25899691], [83689061, 26778265], [25718618, 76039477], [75361283, 45950896], [58425195, 5693420], [60735773, 42359112], [18750164, 81094281], [94073347, 89856553], [81293442, 46949851], [73729615, 55728971], [51437881, 89989083], [57856327, 37772115], [26227981, 52496541], [91144846, 86331362], [36098765, 66338188], [52896048, 5388639], [86087407, 24455054], [76498748, 48416802], [51656304, 27415104], [72975774, 71309712], [28738193, 22120611], [53572142, 9924381], [83595051, 66368072], [12799066, 55015747], [16252521, 8678368], [95268194, 25240776], [68617815, 9098272], [20486510, 24268300], [35219534, 51689866], [68544459, 12434503], [54033334, 7683757], [21770472, 34086587], [35712, 25271652], [8685837, 82884213], [65480831, 31691914], [99666170, 10920873], [58003211, 89303362], [53352512, 79486998], [18472971, 15396487], [92328284, 33300171], [74723197, 43912935], [11578842, 29660253], [24157939, 44128279], [89657130, 55681147], [61719866, 21258559], [9377526, 61057301], [15629708, 15346391], [20564181, 50041524], [10366898, 43889034], [86119114, 89462643], [95646101, 76809185], [67803920, 30977520], [93426379, 4150889], [83976343, 75766485], [19376624, 75581241], [13793478, 66210108], [31006410, 46353812], [59870188, 55997802], [84124168, 21931236], [98500761, 53142107], [39164463, 58273833], [86476454, 62516798], [87815372, 84466569], [85781338, 67307140], [74373331, 75072723], [39129353, 12331657], [39337294, 13645497], [14089862, 29298468], [55696276, 69370905], [77562640, 54473169], [2571635, 44728786], [77192529, 21527729], [47415937, 83219742], [36293430, 90237220], [9484665, 25374874], [80421390, 48787666], [46567787, 77610501], [63956177, 36645150], [48973604, 78962360], [94041935, 30315834], [552884, 53039064], [45079153, 71224924], [64910822, 9185072], [43157964, 52619983], [98207576, 86792984], [33521690, 53052078], [4983036, 26568331], [44369601, 65283740], [23880275, 92589339], [29890041, 41898183], [6662198, 77046321], [27719486, 23440154], [86306046, 74179351], [6921085, 77342819], [90104150, 67304138], [99673983, 97869711], [48682750, 93637486], [81458838, 49255336], [34446508, 2556495], [69378683, 9939445], [14362784, 46250936], [86751565, 32495754], [78808982, 66381650], [93586584, 73184440], [99144102, 43177657], [31218258, 40121287], [2180704, 75730088], [59884704, 70959684], [98342183, 86892575], [51391719, 59668100], [6785621, 9736505], [78154818, 9822466], [77706356, 16245736], [83114912, 183384], [59700086, 13963881], [53946470, 56818069], [26801549, 54133486], [51895382, 17668912], [1026186, 87345899], [18626488, 86819964], [45994800, 26091756], [66892212, 1208978], [63964480, 94881851], [23586495, 83187746], [66973062, 70474368], [23704466, 98738212], [69539156, 53546852], [49711771, 16435013], [65349150, 49323110], [91179538, 72381646], [11488018, 76888565], [85631896, 37632475], [1862486, 66430668], [67785563, 3737014], [87974494, 10664878], [80973150, 58948231], [88404261, 93426923], [46951699, 47576270], [64605029, 36144228], [53166521, 42969319], [43230060, 5051534], [46412003, 391222], [83031214, 98529793], [64790149, 45588584], [4106037, 21467737], [9987611, 3904181], [84891811, 19310402], [59032926, 84409247], [69298, 55127496], [42237049, 30218015], [82959247, 65577739], [25171927, 67058693], [43070474, 42745550], [80132421, 76303142], [87722893, 19645778], [64334174, 7418701], [95247709, 43503350], [30506072, 998026], [86779046, 69157472], [7790906, 27256479], [82472963, 47305652], [65464327, 30683255], [89993546, 37752644], [60801148, 68680317], [94500928, 80714431], [86257831, 88945956], [50760024, 20508963], [72393018, 97527871], [92026420, 16263403], [68019154, 36878062], [84282247, 15294804], [99909855, 27985206], [35033672, 53808484], [26651412, 11771721], [33351868, 59228290], [71587401, 2169408], [5820185, 14716536], [67688550, 39296256], [12825105, 77780771], [84338180, 76563195], [67392137, 19892977], [29089770, 4484504], [7009899, 3048328], [31933201, 9308712], [59613992, 98408384], [82872396, 40548284], [87534816, 58495988], [33505140, 77724342], [64792517, 75917134], [41495770, 36523869], [62964483, 93202774], [21790190, 3316432], [73958790, 79722837], [8885265, 57908468], [56002271, 75386755], [68003841, 20704558], [75786335, 6291942], [5389524, 325975], [91959652, 48024862], [85892237, 37527584], [51227626, 68903679], [37617307, 23881996], [88935797, 18436003], [27996983, 62709767], [45874324, 43257057], [14691123, 94844253], [52671822, 6591698], [99348083, 51528520], [29508087, 77055220], [23942172, 49810487], [20084527, 12276071], [2300208, 59922380], [44777807, 28036503], [76943861, 45476049], [13131244, 13655739], [99014402, 18325803], [93035908, 90635757], [36338500, 80169420], [63205951, 32706363], [81199816, 90988617], [75064786, 57557326], [19756776, 97361847], [87172160, 69349152], [69011009, 77853806], [56752878, 62210750], [31289010, 3437624], [33139871, 16694891], [20268939, 4262365], [31191509, 7646973], [76899453, 18851149], [2560446, 64452318], [73040893, 40381233], [14778178, 93840056], [54358517, 65669022], [18047017, 71597928], [757490, 67181881], [49157804, 27646765], [182402, 25551008], [38872771, 84962667], [84350019, 15613411], [77861713, 15967031], [16755027, 19214783], [69148159, 95481844], [20117469, 63840662], [96088824, 64653689], [55267995, 86031904], [99408227, 61001570], [21140119, 69349279], [73771930, 85546478], [68802692, 7764915], [81605953, 96717476], [21421466, 8691514], [39502067, 1203615], [50848761, 47748589], [99178703, 31513656], [57385230, 55869644], [33887856, 15631309], [21793969, 86966757], [30517871, 24866305], [47493383, 91699516], [63274313, 95797557], [93755131, 88950586], [93611193, 68969034], [93665976, 44052372], [45064872, 3888382], [96351090, 67866211], [56911366, 6769679], [69597832, 36822210], [99594973, 81587037], [3643540, 72488254], [64601457, 52080911], [91874169, 7096618], [88059074, 12393443], [23112956, 1061449], [13220068, 87575267], [81556224, 90290333], [68483041, 46072934], [80692781, 5206426], [98348058, 18001918], [17508337, 7334323], [50572009, 19928439], [2741479, 71267956], [65623241, 7687156], [42452024, 40961282], [55344212, 46016373], [91583710, 94974218], [67738998, 78271208], [31416058, 39081704], [58977054, 32997125], [45474177, 30239926], [85768640, 46951155], [40559541, 63672312], [47773255, 18358273], [49664912, 78647320], [67904097, 65066633], [13100939, 37348547], [78616335, 86823530], [53821757, 75051374], [95691597, 21026430], [24563345, 60477441], [21853224, 20014146], [51497650, 37028200], [13107379, 75476397], [31778714, 62059507], [68325921, 5575643], [31471898, 64032540], [3144050, 7621880], [16331427, 77054642], [77534137, 57619906], [58120863, 59335477], [91845376, 8814261], [7636536, 91091059], [26154804, 46075727], [30256468, 86812860], [6496998, 85315507], [28150103, 82032468], [38618660, 20764176], [57961813, 50963441], [61317560, 89917636], [88552920, 57863128], [90907208, 53500414], [10571199, 58861212], [16728181, 71657207], [21483873, 50635357], [99143307, 91093952], [79366481, 36287852], [38385852, 69516756], [81250374, 47937197], [62754403, 36735674], [56671788, 93291554], [42611920, 41905289], [33340764, 25513050], [69687163, 8189918], [10172611, 95140018], [57947566, 54994402], [9960745, 86385880], [62946526, 21388726], [39116230, 556157], [70140548, 43038118], [7670324, 38132170], [77376372, 99448886], [28718761, 44673957], [51361529, 55648974], [27361859, 57821843], [98340175, 5805775], [14569928, 87067148], [14748707, 41807192], [6060786, 57981576], [95403290, 71717106], [51980050, 19525581], [99465960, 76161558], [49447594, 7197770], [86766317, 60974013], [12580376, 4026929], [74846924, 74430772], [27529691, 11187182], [6676450, 1802268], [80767663, 13351906], [91422126, 83267398], [27246718, 37837681], [63431322, 69582637], [86265950, 12942440], [69499399, 30028096], [70378551, 14132124], [67993524, 11576861], [56245594, 26848227], [51098443, 5921304], [73823769, 56593688], [32832189, 68680209], [94445905, 52859880], [57092113, 62859535], [12023007, 23134076], [20344675, 66693832], [20421148, 95327387], [40002084, 97522096], [60868048, 50238189], [6775281, 11601174], [302471, 49873610], [75262444, 26327455], [12322463, 26767004], [86184544, 37177835], [5269700, 14575096], [46389612, 68304493], [31658132, 46278844], [9269063, 72157772], [78932045, 29129260], [75792163, 54980371], [56158034, 81146556], [45473159, 36407102], [3236081, 30425025], [22480129, 23150153], [67257091, 98386140], [32855073, 72265555], [88705651, 50716943], [44725425, 15333746], [22304811, 51972885], [52856263, 6292901], [70747972, 43224465], [38453514, 436198], [53120856, 66116029], [92083767, 57792732], [17742677, 65698131], [22608481, 95453682], [44649128, 11558952], [25687423, 92614773], [49144884, 33370430], [47272588, 1629795], [18552848, 93259459], [8975254, 1636527], [72864278, 68645758], [4485951, 1214177], [72122447, 34593915], [36695112, 14676349], [14858205, 73101892], [92920137, 73483253], [41859706, 99779383], [68540066, 15039831], [55230015, 63182484], [86448320, 81682283], [59718207, 96327082], [50298568, 2392452], [66591194, 38635188], [70401096, 32742447], [41742801, 48560380], [90161407, 88574813], [70177611, 30722231], [61830849, 85735007], [13637518, 11826173], [48728797, 73461684], [43982817, 74939267], [58163234, 81834732], [25008632, 37958724], [64875733, 31118548], [45070497, 53512710], [9876227, 22180618], [3307420, 30698654], [95623970, 38325188], [53516204, 5322059], [60589943, 46897276], [55630736, 32698402], [13452929, 17405675], [73969590, 69189528], [36754306, 60297246], [53679322, 57216911], [48001197, 13471204], [20241368, 26878968], [6231633, 72275212], [89696196, 52742781], [74911552, 91555573], [82699004, 92526157], [92041127, 46875010], [92184249, 20247283], [33360541, 66215513], [74944461, 77377290], [11668117, 39191797], [85388062, 78317907], [19599480, 96460809], [28383390, 61752494], [17594336, 27339964], [73654080, 17828816], [82580475, 71186741], [66256215, 58468639], [47624914, 27796412], [39469396, 58301830], [92561535, 75474447], [59453063, 82022571], [75216065, 34792883], [6301440, 20628880], [68344187, 55036897], [86921246, 48627553], [34235786, 53605225], [45737895, 41127545], [39622346, 92243965], [8168172, 97099451], [16073550, 88004660], [32106914, 93624138], [9264970, 5608105], [83265125, 89076657], [72257744, 92570509], [35914873, 9917010], [1288963, 44655011], [6195816, 30905932], [12042860, 65922559], [32878699, 80170140], [25491204, 32495162], [45437837, 57677464], [54946756, 61131257], [79268548, 47583166], [99441850, 45440212], [55122239, 86350267], [88005110, 79368649], [5118548, 89063792], [26495074, 44029509], [14319595, 65525597], [88237951, 49903359], [96457788, 40427821], [40316028, 89613330], [15162864, 51977465], [50622078, 77553199], [90721901, 93779548], [66415687, 73366633], [94299386, 85878480], [99134381, 4865229], [28034281, 22521748], [99293145, 94388734], [16736736, 31930406], [96923445, 6359492], [42248040, 68301656], [75410698, 95658659], [30233083, 96404826], [84597401, 59336974], [71609814, 65078077], [6734637, 72755834], [86708636, 20947712], [60746213, 5837810], [69641308, 80059474], [35466681, 44170282], [13195644, 95383681], [95450326, 59709085], [15755922, 11418962], [82189927, 12231129], [22319624, 43805125], [28741682, 51013484], [56841463, 20949154], [71990773, 78029668], [26360683, 75028010], [22903985, 15428246], [16110843, 80530410], [17243183, 54895056], [96794250, 99601021], [21143956, 58422305], [21771829, 78350747], [49474098, 66789959], [88242770, 22988960], [2677802, 78807150], [55930409, 12592343], [57615526, 76706509], [20842957, 2850549], [52972139, 15485572], [32249617, 96002356], [49795451, 89159739], [62465997, 16718088], [4665853, 32681124], [71685767, 44273178], [61111784, 48299085], [64473571, 59231211], [72692263, 17908762], [42460178, 46658691], [3520131, 59758341], [30535849, 26539785], [94933263, 13290173], [73699538, 74782324], [32459781, 95420831], [25271052, 19066704], [79354664, 8669482], [42493249, 48578500], [6717681, 45514361], [56346460, 81160838], [21270182, 94145342], [80804023, 59917057], [2461625, 47681856], [58251435, 98581759], [49778691, 3576487], [74084, 5519503], [24425545, 33963596], [38269827, 69134584], [95808982, 64983707], [81307228, 80433928], [40785530, 19953394], [38677514, 22856588], [67236979, 61210085], [10095198, 83149022], [28850886, 658843], [41513690, 89541520], [32598603, 72866825], [20177299, 69706518], [44039075, 71253379], [72859137, 84891934], [90425473, 4587383], [99099413, 10610567], [51221966, 3927480], [47501128, 3575229], [63105846, 47374950], [23129020, 28368285], [87008728, 60797760], [21733719, 78559354], [27520099, 29115252], [94913146, 69782631], [52056176, 38595752], [43005088, 60679882], [82466453, 35933971], [30699907, 84715986], [5540108, 77492055], [69846137, 96534045], [56960349, 43343024], [84590669, 5039987], [52525891, 20182929], [96306317, 21102179], [69213879, 16674771], [17056381, 16633402], [53366634, 9725554], [94926649, 61036302], [99663803, 85444913], [75097296, 54291473], [2411918, 17592968], [65347758, 8731960], [74987207, 73547097], [98932111, 86547429], [89201291, 7233294], [92880348, 76797426], [34502365, 79268694], [65413595, 26867901], [59533158, 60317165], [22133944, 1558889], [22776548, 40895063], [28034909, 55742555], [52324840, 60916986], [55209960, 17049583], [49766671, 20936130], [33162313, 31115678], [84569131, 48936814], [3970176, 8150357], [46161418, 68737788], [36340037, 26955859], [55150307, 17550440], [53828037, 11688406], [149663, 78753373], [69926805, 11448242], [12786404, 84321383], [3755061, 90921596], [99954044, 62554825], [25613037, 45076192], [90876717, 52382648], [71723818, 89767718], [65379912, 6011264], [69969258, 31545208], [45547876, 88715738], [74212211, 58164751]])," 199130908 (minimumDistance [[60524669, 99195537], [37378551, 14300009], [32140740, 2097506], [49507707, 2326044], [76469935, 48238154], [55612334, 51404665], [65448799, 98176793], [19033101, 84371599], [65611802, 57291950], [40365227, 48669746], [3066472, 4885187], [89984748, 26328215], [53953738, 39015072], [11943073, 83269394], [62138154, 36863537], [47192624, 68599111], [11402048, 87923070], [39002549, 48828255], [45487396, 84836799], [17110206, 58728525], [49367833, 11989602], [41381581, 41809172], [57193356, 17559448], [23552704, 27327996], [3720166, 4511437], [6987273, 4600353], [14199919, 15581273], [26128754, 51648681], [56843299, 44218314], [9212778, 14172237], [17798312, 41869433], [91998981, 80058038], [57676822, 90237537], [70680043, 39255155], [5445602, 75719802], [71643804, 5189496], [59079896, 6308231], [21872456, 33825381], [88437209, 22922960], [51388021, 40479723], [87189304, 66123356], [69886996, 8187080], [98621673, 73341981], [98743606, 25157569], [69239644, 33066082], [91399814, 32552112], [51654854, 12438259], [69067641, 15982093], [9717389, 92648788], [86498312, 6075012], [45548765, 74482332], [87818036, 10037309], [95480436, 18772838], [15117845, 97068766], [47892039, 65734900], [82403456, 85256915], [25342469, 18847175], [62787806, 76315415], [32568139, 93937922], [27909738, 73388017], [487505, 11727722], [79251731, 9626819], [74025104, 58246013], [82556296, 907645], [48832761, 86304722], [35162427, 14636906], [42001927, 989916], [77749963, 89717989], [66376034, 56890474], [33927606, 15822801], [6061200, 84955839], [36002898, 30167986], [80456659, 91227349], [74145274, 84728069], [9991541, 29355372], [73207014, 64696562], [92127011, 63182276], [35995852, 16947103], [97048939, 7493356], [18735514, 46317951], [70313855, 1982102], [54988329, 79966597], [178700, 50009169], [50044868, 2509805], [96901694, 45979744], [52025338, 63694596], [36282639, 24020455], [41737212, 77615889], [82157534, 79234044], [63075607, 83044629], [17403457, 14848058], [73493994, 5717875], [902148, 94181959], [71072694, 45926397], [1848675, 55362026], [21108206, 94165461], [48938565, 14859701], [28363093, 9667314], [97649057, 44497213], [7132263, 53849356], [71530788, 44884105], [50949739, 65705678], [85731231, 22807758], [54363062, 21766035], [67746949, 5448769], [61427501, 4963147], [48530251, 88225458], [4295255, 53523557], [31588106, 71063292], [7325718, 37271668], [45140960, 72395923], [79827240, 8383336], [31043336, 64991580], [69684638, 52269595], [4256991, 20579648], [17343711, 30905435], [72363577, 72875136], [21498545, 12921220], [35415442, 63259930], [93201737, 20148305], [44914160, 34336093], [81433194, 46039598], [13130426, 34161003], [80540752, 6936152], [74619141, 12321156], [927431, 78048283], [88918147, 43453305], [29379760, 31987515], [56194728, 83723240], [87166745, 28864369], [36846675, 42250293], [48015599, 37699462], [13320157, 76836692], [1886008, 87749728], [97841796, 70394149], [65095011, 52991581], [45786863, 11198196], [81395640, 72619149], [66199131, 17612564], [18755613, 57560156], [1748180, 15350356], [14138318, 92743153], [8607881, 99572467], [76829297, 1394134], [76780277, 19809076], [6997208, 887849], [51538384, 36191168], [79276460, 40616358], [92034567, 83745099], [88830790, 98946886], [74458136, 79396605], [86943704, 72095327], [15010193, 74414064], [23596690, 23370960], [48511600, 27599945], [55231175, 11078193], [16898162, 1921478], [19036624, 43844650], [19299596, 3810320], [91224374, 83957766], [80675377, 6634983], [61133966, 83040095], [39943009, 65542858], [66475163, 12245164], [73637246, 74284452], [96679141, 66363340], [61460511, 75635594], [84785467, 53842609], [76731117, 31139372], [3732800, 83736895], [66934586, 39605462], [6469432, 14202803], [6405588, 62459749], [91178245, 36933840], [5328525, 80598594], [20540491, 1562065], [69939945, 59305797], [22375487, 79487237], [62141074, 18852610], [64559460, 67021985], [18345485, 18942982], [62031523, 67570044], [72370910, 75832832], [22231428, 82300152], [19557217, 16588141], [18325222, 78966880], [18532929, 17598631], [70201602, 21930474], [44398197, 69806122], [27767608, 7575229], [49354092, 65977358], [52158406, 89434528], [42610553, 35217253], [96833810, 1781337], [89477198, 93753790], [68601673, 88930896], [20859961, 2693799], [97853221, 28659100], [22851344, 72960817], [73804148, 65120296], [90714314, 48501285], [66123790, 45458787], [39416422, 82029582], [20480889, 26030141], [76809867, 86780140], [75183674, 46032975], [72523887, 31788654], [52027541, 3954131], [64464681, 45577989], [46582060, 15816375], [75620885, 69914836], [3349625, 88177709], [34755436, 93351918], [55706058, 53155922], [83777286, 23587155], [14284465, 18041383], [83843073, 89236979], [25488479, 17250320], [90632883, 32945340], [84894587, 69009605], [69251702, 88501561], [28612343, 95548889], [90687249, 63525017], [1139728, 50124349], [94896437, 11604725], [64560475, 77355600], [25851335, 17601759], [15358472, 51007258], [53425069, 45049523], [2211617, 70913898], [40699384, 79019897], [47926543, 71248519], [3568219, 85494033], [79024920, 86900352], [10177920, 34865123], [82670596, 81013414], [33739196, 93787556], [5356836, 49626877], [85525980, 26107609], [90698042, 6401501], [18365574, 43619727], [16738278, 25875174], [98258833, 12925993], [48209930, 40255339], [22710780, 3748951], [43434251, 56034452], [61297840, 99831872], [62758236, 26452926], [9460990, 35828717], [54419937, 86504512], [70851693, 59409515], [24640681, 78461190], [50581932, 30686280], [69185666, 19049908], [44230401, 51407033], [63613305, 3739235], [7764096, 3011927], [32282852, 21638890], [20062250, 38622881], [53330496, 44572893], [39254633, 68921699], [73622862, 22342384], [6946121, 12607402], [51211300, 10044221], [24497687, 52304183], [61355299, 2945373], [67253778, 94565756], [88383221, 54373368], [5186461, 78165187], [16866300, 24107213], [88132927, 44585071], [42612109, 39984606], [60236404, 37702556], [14081932, 91791867], [1417179, 67330758], [90326563, 58307226], [1975816, 73621985], [58506057, 3504043], [60197340, 84173255], [83863159, 68599989], [27722001, 83496136], [94678255, 66477626], [73706831, 94159064], [99805725, 85363216], [59276548, 80857384], [68686576, 80602939], [88713399, 58484076], [57229617, 57869186], [52029517, 91324733], [22547831, 42542993], [94760364, 91345181], [50300419, 58414028], [15093409, 68926982], [11092291, 5244654], [93831169, 43797189], [19783837, 74728745], [27186472, 97588867], [89656054, 38210364], [28746907, 60692493], [23440360, 76982361], [12435379, 18630099], [20667683, 83634822], [81798523, 82846321], [52895455, 36044015], [90046330, 87120465], [87315459, 90881034], [80782570, 7883806], [46259294, 32109637], [80988482, 63593059], [22944683, 68347726], [72139523, 39737416], [29187698, 6141522], [53023219, 95546815], [86648437, 73046914], [32369246, 19973548], [59530561, 27610220], [72057765, 86338398], [58347670, 99006229], [36669184, 62754471], [21785130, 75669034], [11011197, 75453762], [37337703, 95381597], [7465133, 81454353], [63168095, 72707244], [23541594, 22972528], [86740184, 51330348], [20921140, 67056895], [45419088, 88058220], [72598539, 5596550], [65356856, 70721235], [6049506, 53308003], [55555011, 12706328], [84490573, 92673719], [45276661, 16643075], [53726424, 67306805], [61295333, 2796131], [30026792, 8518336], [28966108, 19266176], [32209656, 20130471], [57735177, 56662500], [74878540, 62624972], [72824700, 3958580], [47973572, 57279629], [96922084, 34447459], [59776938, 48881608], [30079407, 74419091], [41131230, 49345764], [14913366, 42782458], [64136452, 52541659], [63859828, 88521047], [47966543, 94926553], [10422605, 67691487], [41690329, 77926696], [97957580, 10068404], [58315804, 95787510], [25461931, 84566148], [51456491, 71480438], [20267578, 44266743], [56772042, 66116470], [64071461, 65836660], [52106038, 99070948], [98330318, 2993881], [84614430, 52620720], [53317068, 12004298], [42232045, 72410711], [97493875, 54725804], [44679887, 49482376], [61007697, 16773447], [78842171, 5538954], [39198545, 55162467], [1345938, 44386828], [63482940, 41190308], [38638795, 83879491], [87581836, 80872792], [47935066, 37390831], [61702303, 10897835], [9485710, 92588688], [10373034, 74435700], [96031388, 77745935], [74119367, 27690201], [24042577, 94393453], [66149335, 42447831], [14755382, 42019172], [86411589, 97069605], [80877169, 26721077], [82698027, 278169], [23009785, 77218407], [24536051, 25489417], [76316699, 82482965], [45351341, 4275344], [32723231, 42409503], [39018759, 51494447], [80047012, 24314773], [52615351, 18496507], [78852572, 13389803], [52071754, 17258692], [65223597, 78901973], [63173671, 94021543], [57717845, 81526459], [3777849, 83539721], [230984, 80108479], [79837059, 33841251], [48894108, 70715457], [11396650, 24468610], [61150157, 74208064], [37040060, 2568717], [24506766, 54972038], [61788006, 83988072], [34682665, 84342464], [25163485, 88801988], [46832989, 95371423], [46993104, 16222435], [7783235, 29726230], [56665149, 69285338], [38801926, 11554915], [18923213, 38108500], [24276011, 29740595], [75552807, 95183196], [59682133, 66748700], [39369993, 20169239], [1529252, 6021243], [61811706, 78333540], [80548951, 56471949], [64725154, 7762949], [49686549, 94093555], [25229372, 36506652], [84582937, 24645599], [84526962, 66494554], [19269863, 59222417], [29975237, 12070078], [68367951, 1812325], [40297757, 56841453], [73766261, 44705387], [62810654, 67749446], [837896, 95640119], [46089622, 46947158], [38171060, 52170391], [92524623, 48350723], [66183846, 57967368], [85675089, 13047597], [38644837, 44490492], [22885726, 74912805], [92129039, 88418369], [7597193, 47895541], [27883875, 80617739], [18085547, 79396249], [78693900, 75075268], [6001623, 98737126], [45933231, 30004615], [72144268, 76945294], [1534942, 29591559], [10868200, 60713807], [95126933, 12539811], [81547493, 59992396], [11843715, 47292989], [7248123, 75831734], [29582364, 30258119], [77037680, 95985295], [16885191, 11326404], [45905745, 36656228], [26777581, 23581621], [32055774, 67518453], [83261708, 13789005], [482520, 46749996], [47541025, 62237348], [36128165, 17038323], [69169631, 32173079], [42698726, 34232996], [24110017, 40340630], [96560439, 15774505], [24622371, 13438031], [45027658, 43766976], [90610431, 74811318], [50756345, 3506915], [89920944, 6859139], [5601034, 6422721], [90467044, 8148764], [75813250, 32724728], [78539227, 84725676], [11856517, 61131412], [42858951, 20884141], [79191343, 95907243], [73642246, 71514670], [9411577, 18907088], [39807202, 49201972], [58834613, 17755345], [95025910, 23452681], [2791604, 25678953], [28306063, 21804946], [21661417, 49912017], [29869075, 98776034], [6943317, 21658023], [62213496, 99938593], [41442680, 57543079], [63361558, 79370929], [77469779, 35727338], [75658920, 10169312], [45767619, 81198287], [46589226, 6839519], [61678749, 90661119], [53335636, 67455512], [7143772, 46566923], [17606559, 73284705], [93455223, 8457388], [39992505, 47528602], [26991707, 20813320], [69967678, 45383366], [85939793, 10587939], [67768920, 53499953], [71863693, 6316967], [10958, 43979850], [98094218, 32249639], [57798478, 93243047], [71644923, 49202041], [55981539, 80933503], [11931612, 43930033], [45087265, 25772820], [39687680, 83234859], [70384571, 59289755], [3739884, 59670733], [4403435, 6604084], [6611800, 40551489], [58014331, 68817725], [66930304, 87010548], [57227958, 93582033], [19817697, 62453129], [70380568, 56273248], [20086423, 54105488], [66846137, 70273894], [42408659, 89933394], [24659267, 92959329], [16831853, 25010969], [90710189, 96132177], [41467676, 60945821], [29384761, 77994127], [23735958, 26901661], [76391002, 2010294], [35094151, 66804766], [14241263, 86236149], [26497960, 35407906], [17024544, 67964826], [96464808, 70871412], [9951236, 86700553], [68974332, 50115776], [68778741, 66209968], [91683531, 73113780], [55058878, 17695921], [82793014, 17153484], [99920313, 22271702], [7441725, 46831325], [40657208, 24731909], [90657326, 77269087], [37331955, 29768325], [64851603, 37309387], [63921171, 77776932], [38142491, 60850386], [91360405, 13513584], [9439188, 20329677], [316129, 73562327], [49252496, 43595447], [45389836, 40541934], [91470726, 96329554], [12408286, 85303445], [52673360, 61414340], [82512517, 5413685], [36824719, 23280719], [50208079, 58624249], [11141672, 9282859], [93360177, 84533594], [96189037, 74390886], [13475832, 21013358], [16170583, 58441644], [55457508, 56987146], [87749553, 32916197], [94734630, 59963640], [1993670, 74821170], [45824208, 1662584], [81266945, 92060063], [45513585, 61235441], [7255143, 92076928], [80040304, 15836520], [77763869, 23039201], [75741877, 50062758], [77069126, 16920481], [46451142, 47362438], [31987815, 99456098], [72620802, 8228019], [27698605, 49934312], [80206933, 37165571], [36481695, 66804574], [18208504, 98787842], [40894651, 25609502], [84537537, 63492701], [97021095, 94657981], [73256816, 9685981], [42446503, 23504697], [57908276, 55257136], [75474638, 12943787], [64176814, 3116164], [30477781, 57635789], [2016894, 1567172], [31313698, 85982251], [39359802, 96591426], [94300056, 47689994], [30017024, 86934156], [39675572, 41200687], [76220995, 50852642], [65346577, 64371159], [65470929, 18768173], [25522946, 3358148], [1218560, 76708175], [61294427, 59133264], [83315286, 87350396], [32326605, 93155900], [70308858, 6982466], [31791553, 27792293], [11690781, 9503788], [72738716, 47114035], [90158599, 30842626], [46762960, 98749251], [87211618, 1065221], [60491916, 78791186], [69094327, 98908725], [66070281, 84792138], [5250085, 71667036], [2915802, 96500661], [34096587, 58126341], [61563015, 64705111], [57861070, 22389604], [22004701, 67088226], [17967345, 8986423], [61582336, 53885902], [54735321, 57722883], [45804970, 54946372], [38614917, 28426517], [34407109, 89474674], [94239429, 20909764], [56574249, 43764655], [34718303, 22341152], [48330758, 723148], [70991048, 58861517], [44440344, 31794581], [15547109, 74142809], [8436461, 11090591], [88196461, 17481777], [29554211, 34611112], [10895246, 32672844], [40113430, 61676241], [98444716, 14366247], [61254647, 41475283], [32932816, 4417581], [64645764, 62260644], [20759744, 28859675], [16589659, 10307700], [94406948, 33209123], [55923764, 42649031], [56641322, 89334932], [26825208, 54934959], [43260377, 86503778], [53088009, 25050237], [12284527, 2472183], [25213268, 91581673], [74019913, 15538107], [13224679, 43519108], [23818346, 85219770], [32209288, 38146197], [81429104, 26551404], [19612594, 14126093], [67100377, 24441228], [12604038, 76999678], [28809535, 17418416], [80921667, 79402605], [77402724, 74635312], [19307426, 50964664], [80615164, 40130701], [66257325, 98385424], [60143375, 49084725], [81407659, 47832920], [53039103, 26980108], [74965644, 75520921], [66266773, 72064177], [2372725, 66475066], [66486272, 41266710], [13858069, 65060307], [89348624, 1130330], [6195411, 48337535], [24953204, 29351535], [85648086, 94994416], [82373745, 84540337], [69839690, 381102], [49481828, 25612859], [26333726, 17878831], [33737008, 34425751], [66622784, 73584089], [27206019, 56301333], [97580536, 52388866], [21576190, 28216731], [31423448, 44992143], [18690922, 96677300], [13683818, 70926412], [27274633, 26195422], [52166821, 9798700], [29752828, 80259074], [604460, 94638311], [20641774, 46826622], [55515736, 71265322], [35129941, 71180021], [64830397, 11984332], [93452100, 55526051], [43194858, 59360934], [24502950, 94904985], [25907399, 68361554], [1459541, 14952941], [41531592, 2176286], [44366121, 20390453], [52910206, 55685061], [15855207, 50547508], [53951778, 52131155], [28715708, 74190641], [64139854, 73784375], [11998301, 7813668], [85206154, 16842306], [66639448, 6673888], [81252892, 29600462], [93313408, 20220165], [3760128, 16785182], [24052544, 91396446], [34941744, 90255627], [96636334, 21493675], [55246088, 54692526], [40226734, 95834717], [17687, 89759578], [71598574, 48420041], [51625554, 22336766], [490508, 20986130], [92561868, 96483452], [52192228, 58514626], [81024544, 68331251], [1901581, 31466550], [59639641, 94996372], [3150093, 36247759], [34840693, 16380408], [84331380, 70267378], [6353659, 26909850], [19438546, 15317776], [15880683, 63949838], [18822321, 46874363], [12858880, 34500403], [33534955, 2551774], [49603165, 70762195], [63559580, 38652168], [46645341, 4678951], [12443341, 40926384], [59870932, 57931472], [55681234, 20130475], [97211367, 39864519], [8175987, 71351954], [64722662, 93079719], [68658756, 46971220], [92159014, 26429871], [62409756, 33285114], [5360568, 31642874], [17057186, 33095278], [28734220, 49824868], [39838666, 58856547], [97305167, 27872833], [72364028, 16850085], [90313117, 66665623], [72309696, 64215429], [73676098, 33624045], [28245713, 80871431], [54808887, 78254036], [55207593, 23560758], [80057370, 33999691], [70365820, 67985705], [27375764, 90311893], [27106537, 74705586], [65477664, 53069283], [5312260, 18137950], [21598479, 95419219], [93447023, 63755253], [85776962, 66776150], [47805117, 78880238], [34724166, 73256289], [13340284, 49960427], [21327859, 69614407], [58290386, 6627351], [5009459, 63988625], [97493560, 51542290], [94011044, 78369943], [10939315, 295549], [24567690, 34248775], [44416943, 71283852], [32727938, 32980955], [188120, 25746515], [25780041, 90395192], [34638388, 27921349], [98064244, 63820857], [11158811, 53887043], [4269515, 14662106], [64079078, 13170759], [57918228, 22707674], [82908914, 783628], [56505110, 91052617], [12108152, 22224760], [45203881, 61257231], [79212129, 4497165], [21268697, 59475083], [18819693, 95283674], [18791040, 6096654], [5870717, 19692973], [11267266, 24941586], [63658476, 2065411], [35726133, 18317777], [96586891, 99019173], [65656488, 90558960], [15547483, 31757701], [85676560, 77515890], [61348463, 38027794], [18732851, 20935968], [14712726, 15681902], [85167432, 91818203], [53955470, 88274152], [99154531, 6246004], [10671773, 10246019], [52359673, 92081980], [49548983, 98760992], [8490667, 40907651], [98486872, 44614724], [31165786, 47721122], [18383802, 36290431], [97909772, 39703187], [8218208, 85856259], [81992029, 74299502], [3612489, 42252982], [36860288, 31336513], [39571091, 94002758], [31370170, 16871474], [74215376, 38285212], [588947, 35312379], [13057146, 11098314], [79633293, 54476641], [36565230, 18811350], [44792061, 36056993], [25232167, 12836543], [23364465, 47286445], [77188867, 7309199], [96702032, 60005390], [68195923, 74400537], [71914983, 23210574], [8805393, 79112441], [98762363, 55688214], [27370420, 1627721], [95991217, 4221404], [49799509, 34019680], [44681582, 7763969], [98532765, 37586819], [94555198, 69350453], [30976407, 13335011], [53463472, 7011607], [9513137, 64383151], [94568126, 20444370], [40877329, 72461091], [34737556, 74805676], [32886147, 14739941], [14648976, 7103138], [66289858, 37094465], [2189561, 68292174], [74332194, 90278922], [21047859, 66930553], [13949563, 89511635], [1754029, 27128459], [23616239, 21256182], [10182214, 43674755], [73003682, 62054723], [83648095, 42102187], [4657159, 52639423], [60901466, 59646291], [22361844, 24586631], [25768966, 6192099], [68048534, 72358549], [58846357, 60030986], [71025239, 93131845], [36873139, 21469275], [67105093, 45787457], [27207608, 66766643], [9142830, 17188765], [84405785, 5506779], [76088096, 82528010], [79082444, 57625155], [14762618, 11924942], [54382733, 24059835], [66069913, 25600509], [36798182, 16598069], [96319307, 25738073], [52204675, 67119240], [69915698, 41778361], [75679454, 8620902], [82420905, 87343228], [21510652, 27921431], [56242162, 95593279], [87055316, 96665798], [44276656, 40181348], [5275464, 20374454], [16685558, 722070], [76435155, 60089736], [64621079, 68586105], [98204086, 84187336], [22312710, 84835572], [74654031, 4206002], [74435307, 90283484], [35732640, 11447873], [93099517, 29285786], [12784022, 86003435], [49740443, 39238519], [13498328, 89311025], [93323318, 33583499], [13536026, 48936189], [46420195, 95547531], [45141546, 11874127], [42682382, 77902806], [33036454, 17254785], [77763086, 10714486], [3783965, 56294937], [20573501, 25881934], [89460120, 74283743], [44543132, 69532203], [87666615, 96107506], [11801092, 40356873], [36599184, 15417048], [9085665, 6567456], [42258211, 74546014], [17559369, 12386697], [49186829, 42837011], [85354313, 66591909], [91875737, 50331150], [22212275, 37481965], [52214280, 21863587], [61555073, 45541013], [3765693, 34710843], [90277840, 659264], [17486633, 81357842], [38146076, 699989], [83196187, 70740169], [56559254, 82172444], [89132880, 13741222], [32045104, 28278979], [90095964, 68480448], [80594283, 45260245], [42905266, 64582132], [5021102, 36631215], [29030413, 70849379], [74634940, 94023620], [88938670, 3835756], [46493218, 33465952], [8058293, 82581571], [58197697, 1383302], [14104224, 35575347], [46561659, 92259820], [59067165, 6412345], [64190543, 51713262], [26062670, 95845237], [77549811, 57653063], [62081058, 34976238], [69488801, 11314658], [54067464, 79002912], [24592649, 5059999], [99498577, 27780102], [32233606, 476526], [69345017, 84806022], [89532076, 2417532], [80663589, 74386494], [2729346, 21876742], [98781052, 70964304], [42081362, 89894055], [24104664, 16625602], [53883533, 36135827], [87327284, 98995268], [23890084, 18726748], [4772862, 61735581], [36747097, 20543426], [17790060, 72833062], [71420187, 25161823], [19691995, 8956255], [5226199, 81614489], [65678680, 83304949], [11984263, 24362599], [56485102, 58935287], [81779317, 72712428], [31380457, 37764868], [75189183, 41244361], [79657555, 66799971], [51711965, 45015814], [8005046, 76843833], [25276328, 90363521], [62919624, 42187256], [48527988, 62760825], [70296601, 7316003], [93126309, 32966136], [38447910, 7100901], [28741728, 17685618], [27000223, 21711118], [75990976, 38524198], [69711261, 49486032], [48390633, 51638403], [77054901, 20848999], [92441036, 49804254], [82855051, 37548743], [47254426, 7627688], [89135082, 50180924], [456896, 21259867], [19727883, 46604376], [13397700, 14980585], [61040369, 7390628], [33230122, 40345858], [43524712, 68618991], [99738248, 74276528], [31607605, 2726828], [46517925, 272840], [208226, 41040258], [26485466, 3675427], [75727937, 59766855], [19741378, 32416280], [49465241, 18857341], [40638589, 83870282], [91819658, 52614269], [42311086, 24130829], [2330949, 94596468], [68839474, 4245806], [8814670, 22029728], [78095276, 47175627], [25222363, 25199083], [40058898, 29529449], [26800676, 91122851], [19783699, 97275277], [1648700, 76778709], [5296652, 34606238], [85587349, 90366160], [43100083, 99323066], [20473894, 88103977], [43180648, 2219401], [76572260, 97215317], [84782588, 80316732], [4823505, 24782821], [7999658, 27428237], [61068850, 25660837], [71392640, 8930200], [91644484, 89048951], [28140247, 17243911], [73789624, 14776541], [25859854, 2745947], [83084600, 8933511], [93738143, 90431080], [88424371, 94595051], [31514192, 50961057], [96056161, 69883703], [3758518, 55278975], [98852140, 54130755], [36550658, 36376417], [31318832, 782338], [80892868, 72619082], [62741418, 99660783], [6529024, 55288209], [93271763, 37351591], [5231939, 27003849], [83688239, 51999389], [53572895, 407725], [48907666, 60973535], [21764166, 37269070], [9734575, 63672880], [85157303, 98951974], [22712967, 17209365], [26677711, 28365726], [41207219, 27302884], [65509014, 26237980], [93044788, 93975714], [1569016, 58941581], [77676068, 67341276], [30382783, 59780534], [13845380, 73803000], [44247428, 26432839], [30872434, 91383680], [11369687, 28898593], [61381356, 7104938], [22966059, 46842115], [86071571, 61181219], [39275614, 53630307], [60852743, 80677605], [63337221, 13986519], [34342745, 75811215], [46897132, 63286694], [62938749, 204867], [14023564, 37199586], [54392271, 80925586], [2977566, 70993386], [12034419, 92015604], [65902648, 65012626], [49899784, 82571927], [75434929, 83350369], [13246251, 97079084], [46809122, 39146364], [40938297, 72574369], [30130629, 37979797], [60042630, 18847065], [73613054, 47503858], [30435806, 95124777], [82473532, 83951513], [90077326, 72332207], [78850096, 21204945], [94107953, 83769113], [24084758, 31594086], [66720964, 47091094], [65752353, 52332932], [50434479, 20005424], [40556320, 74914871], [69721913, 51110007], [18031054, 97628988], [48921910, 14529610], [55210682, 48995541], [76936189, 69594437], [787329, 81105426], [44744003, 4164211], [79886266, 72822638], [48938928, 80799440], [2067804, 28215610], [69743130, 41217783], [53709194, 51038143], [20771939, 37428785], [69270198, 19733454], [54653231, 56051254], [27083823, 48506683], [34285919, 58927630], [29612605, 29178394], [11347901, 7725257], [87481533, 11076021], [44547898, 5416976], [66334183, 83518881], [5333084, 64139727], [17486713, 81353535], [61306390, 38011959], [5011167, 6119551], [60922014, 72803511], [52989953, 28391548], [23178706, 95301525], [52812569, 25391063], [61871696, 69207745], [91157919, 54001018], [9758093, 24994014], [63483288, 11709327], [29907526, 18916105], [93214936, 19917807], [83520512, 1556603], [87779185, 8412419], [96189121, 34038364], [60452754, 39818571], [15076045, 91250206], [88381534, 83847089], [23203561, 41104333], [20254141, 60117703], [63320969, 38525072], [24996911, 72623306], [82868202, 78511851], [5023781, 1780795], [70601075, 35012703], [72635715, 23854542], [8039578, 76458027], [77039588, 71022278], [31341444, 20318455], [4413841, 78181084], [41803578, 12193642], [82252355, 56581073], [31009213, 17455621], [77033943, 35315417], [3479890, 53365501], [93461688, 76145395], [48336786, 46015957], [10355210, 53144288], [96291782, 16041414], [9571219, 67941332], [85519626, 59360677], [75914908, 16383944], [10090025, 54156690], [48834725, 89922647], [50965609, 65520097], [63326788, 54539323], [46548825, 44975140], [39080209, 50563852], [30544723, 18676985], [63354502, 49526208], [49619246, 63828069], [95064635, 15705543], [63113425, 45285869], [64264223, 91355911], [13180959, 50820438], [60965323, 78924880], [52322078, 93821786], [39479082, 49508006], [11635539, 68165541], [84140506, 88389483], [50687930, 32327466], [53240709, 10669810], [30578991, 80102213], [69877763, 27336947], [10903871, 16818957], [30080849, 52944289], [50671334, 81517945], [83327723, 87731797], [55571981, 20380572], [880371, 53959285], [8341435, 56444381], [37890382, 23152104], [40644374, 71881498], [78736817, 44999939], [70202355, 33879973], [12178999, 69395622], [23474674, 42840840], [10668445, 76574129], [79696193, 28538711], [87597040, 44843658], [46704050, 38976094], [21550348, 41890878], [25531623, 23661445], [11631293, 47617877], [13540664, 93645785], [25128102, 31401994], [28462463, 73924056], [66782867, 25571593], [51246525, 16884919], [67086542, 88942194], [51899121, 9334352], [54703642, 45674848], [12483264, 69659776], [87926716, 50374443], [62268458, 1117332], [74714586, 62333779], [78289519, 20551910], [68561288, 68856446], [31289802, 23896977], [3124933, 58330823], [82388117, 37804591], [46818002, 6564807], [10235954, 42051655], [71646555, 71493527], [17900098, 95268614], [91801399, 77665531], [68465048, 58680122], [22721379, 2097277], [46320751, 6571590], [2194354, 80512038], [30778515, 31612761], [7238661, 65927424], [79797557, 87299841], [94930159, 83873878], [43616730, 16910605], [28769167, 2310950], [50959518, 58699922], [52694250, 19798977], [85499892, 83301495], [50245110, 29362280], [90196750, 68788935], [28878330, 58592766], [1465006, 83904148], [5084512, 43153432], [27971086, 69271637], [72692804, 63173005], [71790387, 54903192], [2213381, 18506317], [54251542, 86423652], [30282102, 73357083], [13522639, 55956395], [35582697, 55199788], [91709809, 46424066], [19807209, 3228345], [82917994, 61891924], [4938303, 5542692], [45090365, 50167821], [19127893, 24507566], [69540632, 86015309], [14882376, 34887485], [73630146, 46549263], [63667879, 12613477], [53084596, 22357241], [28684052, 21969637], [93776481, 53047828], [53681873, 77137600], [86528524, 78482755], [49880567, 92207881], [89712948, 73302577], [84887634, 93705203], [62120247, 30191685], [79222414, 22793479], [90854056, 35141322], [10577777, 39263961], [85635225, 15620367], [27689234, 36835789], [86774127, 38186266], [39547119, 39489083], [76958198, 91066623], [62693165, 51808189], [97883600, 54741500], [78935534, 31877190], [75902997, 71615089], [94002015, 97484146], [57803530, 71612244], [84136225, 37522643], [90386564, 31163849], [95501173, 10400325], [28161215, 54732097], [14924764, 93323102], [44049556, 1929682], [43898078, 82142654], [69647812, 54105913], [90184127, 97382948], [82332926, 11149899], [94054559, 5209581], [23513768, 72818114], [70640285, 33607943], [72276773, 77218829], [4861873, 76015391], [3197066, 27888198], [78134605, 58031786], [14312763, 63658537], [95951451, 53961977], [17582575, 58794389], [38275976, 27541604], [71136740, 72710582], [24275852, 86020548], [28418832, 99966792], [96647042, 71016164], [88996798, 29347835], [59545494, 69030390], [51165036, 80518133], [17918707, 5095836], [25410139, 46210558], [91346255, 2702140], [4125369, 89801812], [87229991, 12594412], [98005173, 64355669], [33732727, 77057813], [23592294, 2005012], [2108608, 29451095], [42723749, 18331916], [43081683, 94246565], [88502827, 16182072], [89474136, 28226037], [14313630, 78541100], [42778754, 42709003], [13034777, 98359357], [4516894, 12189906], [75863820, 64570344], [30608681, 12305475], [96833970, 28595942], [93028548, 53589919], [57408770, 60447623], [30324890, 55059753], [97123068, 8123269], [54621144, 45381350], [53237803, 67358812], [64464448, 38290993], [60043404, 32925758], [22663806, 32574839], [83739943, 28907380], [92886225, 31143655], [83527201, 8004080], [11663649, 71104682], [35450825, 86949213], [41274652, 8856311], [67568302, 45901296], [50617154, 33081803], [22790592, 87534176], [10737289, 46226089], [90762656, 31431600], [23023955, 58393360], [46416323, 98801727], [56148105, 75275712], [21950880, 8385302], [39265613, 7297750], [40575438, 71545844], [79530213, 40035532], [1986469, 94145953], [67817853, 69059467], [74915656, 55673562], [19324517, 13976544], [70757536, 97543226], [40811098, 62077901], [28500031, 2189589], [83823914, 90359222], [30830848, 47366164], [60321205, 23719999], [39591052, 41783330], [89728244, 26546365], [97720581, 61559845], [79828742, 42143547], [5147746, 63396993], [51525409, 37045578], [33343048, 90389867], [36237312, 94882760], [48770203, 61505093], [57153969, 85362984], [45170245, 94928443], [3327218, 36357728], [91609747, 7203694], [77114972, 79193054], [91429284, 89891636], [51205870, 64817025], [6938177, 5602569], [23720010, 57099282], [17213711, 1971463], [40584685, 78486245], [88969960, 26794371], [20863396, 2070645], [36081663, 32815038], [72321197, 58925144], [32030030, 88434481], [93657942, 77401488], [1899322, 70640394], [84303916, 68664709], [2841401, 97494426], [70485731, 63890143], [46900397, 7090266], [89844953, 95020075], [40415243, 40580229], [19383886, 84789736], [59160301, 9646816], [63537756, 18465607], [3195808, 83526649], [13398101, 38957397], [47215374, 31090847], [58899960, 59973540], [13216631, 82018477], [86280541, 27846437], [23311162, 17394629], [56989615, 87244868], [36392204, 12869866], [17405295, 38727234], [88131159, 31201287], [80468622, 30912056], [41825511, 34449784], [45149066, 9406115], [17863900, 29686269], [41730902, 27521277], [13696134, 98494763], [55385714, 77009404], [44319305, 59443827], [69398140, 90691048], [39666396, 58362893], [86696046, 40600813], [78329719, 69681951], [7808758, 26213161], [40574768, 98356765], [13563738, 89859842], [27941714, 13933026], [25734097, 4304462], [84930075, 41736762], [51046516, 2103129], [43486718, 13472208], [41169101, 29777065], [75354865, 34179828], [76573265, 39473090], [83771971, 54047689], [26520815, 66195352], [1966850, 44997595], [90898037, 22682971], [1323387, 21481190], [9947734, 42408197], [83397455, 3657626], [20384822, 13035305], [76103118, 46056714], [92138583, 51134063], [17695762, 49596568], [76062679, 19915364], [72163154, 63527955], [84199248, 68332246], [6272129, 72529532], [59623065, 12795201], [79923713, 26059972], [67865880, 47575714], [53553858, 31277135], [2223290, 96742106], [54941766, 45594070], [60853251, 3979589], [4346601, 82015301], [21158919, 55251680], [15599571, 42817075], [56932694, 21042710], [27869103, 61381660], [91072032, 44040865], [48485168, 19589030], [67225127, 80472154], [77457929, 63204981], [3902531, 60147346], [3968030, 90183552], [8592967, 93015925], [59810757, 4065290], [13550286, 89629675], [20834954, 6020310], [948765, 52158551], [96202859, 67627262], [18364300, 93322551], [4901425, 61611695], [67534252, 66627458], [53009168, 97738625], [71514862, 5881251], [48203424, 8897982], [80723564, 14905558], [26092022, 75404543], [84228936, 5814595], [31703689, 73099002], [92457756, 7516253], [99341204, 40705988], [92582742, 70665850], [62298261, 86978943], [29641993, 72757905], [56271915, 85367164], [52753368, 3841874], [97196513, 54644186], [66358788, 81396760], [99393732, 51520188], [89350847, 78104151], [86305315, 16421801], [32623281, 60618458], [49124847, 77828507], [45665804, 98853787], [80756320, 52705535], [64925438, 23655107], [92796837, 11848975], [4345218, 3342223], [53773923, 86797530], [95119448, 99300951], [52081052, 79539333], [83265492, 94722672], [48035352, 55613545], [17338732, 59268333], [89791012, 68000864], [16803694, 69367801], [92153189, 61333917], [45300607, 5067753], [42817675, 50783434], [84930187, 52399771], [9573122, 7868842], [2427926, 45489636], [50870541, 11535584], [32106504, 64424868], [54511712, 48226083], [73521355, 71690540], [61368046, 28161124], [31321102, 20212821], [34092252, 37762072], [55541322, 70167804], [42594005, 24934700], [69658346, 40441664], [15158425, 37152759], [24553109, 26780750], [71309581, 59121883], [29154552, 2913736], [32087420, 15348259], [54722805, 92717402], [74801885, 38694643], [55424728, 60785449], [72465287, 868351], [3955723, 56033265], [47305022, 34161352], [81573666, 26666176], [72716247, 15575930], [74025097, 70117969], [79039161, 19828878], [65423917, 84735052], [77337029, 32143568], [95374493, 84181961], [364121, 88872626], [36972235, 71321644], [27875960, 39310379], [24534763, 91386025], [8329496, 52330263], [41541446, 40864330], [16142059, 25806813], [79412566, 46224038], [50519512, 54194601], [43970269, 74066474], [25059154, 78609857], [57335483, 12548534], [28160414, 65619603], [20534474, 31815948], [88865931, 47843781], [15663197, 93845608], [66819621, 5102239], [47429004, 18071717], [47452638, 42291905], [38554410, 33681000], [4302894, 16758438], [39410188, 56388327], [26055270, 35466851], [10816616, 26415931], [94588356, 63917081], [37862031, 42580472], [2049992, 98371959], [2455663, 13188403], [13166019, 64147850], [13025352, 17831847], [50307776, 19167977], [6387202, 84439683], [21353584, 87701131], [30115134, 55353521], [57735845, 36234292], [22933325, 39562535], [48873331, 20511604], [88204125, 61325110], [22376919, 49139114], [81770186, 40890810], [8380832, 75534161], [95306790, 85167816], [55883154, 31488588], [66183919, 79762985], [52065496, 72858996], [98342481, 1201770], [83243771, 93137960], [6735544, 60899245], [51278280, 63596167], [6871834, 29684533], [25563707, 89171860], [15235705, 59588894], [34166962, 72159984], [9565957, 16716292], [36753047, 10744495], [73372382, 10527490], [91813083, 60688489], [34213902, 51730670], [39828988, 8865228], [56597348, 33493646], [19444808, 22607223], [94059332, 34233315], [7968331, 72411761], [95692840, 65416122], [19524715, 6867444], [27909456, 15259676], [64174947, 14837342], [75165070, 49033345], [16405542, 60626155], [58724818, 57671630], [51754297, 60790188], [5778613, 3536255], [57406145, 93070448], [30850397, 61275497], [60356004, 73514924], [93968785, 52473484], [88751421, 58280540], [23145829, 61920770], [98235126, 61911974], [76032774, 92435972], [17582603, 98754821], [93404859, 61905813], [6544781, 41000299], [65401710, 60135752], [99752918, 66235336], [114612, 26919826], [11265667, 16559880], [54142144, 27192968], [7492747, 43860189], [80879080, 9505846], [88009659, 3973813], [37777534, 53655344], [81541446, 97279095], [5236408, 25185657], [26245816, 49539799], [53585818, 26028066], [67925626, 63964406], [91320633, 91976855], [46861932, 41229695], [22012886, 1280792], [75486053, 66022810], [2843565, 8154221], [98174901, 19558932], [87021175, 85629502], [31620944, 92345966], [9688416, 85949867], [36055282, 62680279], [68925010, 81336742], [31881024, 78316623], [15625824, 19672831], [76250189, 1995559], [7227786, 2639802], [85056582, 14372079], [66219184, 44042504], [12147022, 43794411], [81311595, 96085917], [77330283, 13162269], [79692462, 45502341], [54408934, 5059670], [64602149, 57438761], [77981491, 92382454], [97264595, 71854856], [46922188, 45391136], [84014015, 43339107], [93391421, 64929060], [78040581, 67911472], [34342857, 70531047], [97569514, 19854605], [463239, 48329547], [43416667, 52525489], [92035663, 23722959], [23762107, 57387707], [75775412, 63835413], [24037640, 38675564], [77777499, 91184771], [93862291, 39041327], [19383509, 41202986], [6275344, 66068689], [66974756, 74319604], [44106977, 10212549], [13049229, 79196358], [23294913, 10981505], [96357396, 88862809], [9629871, 15671293], [21398630, 5500670], [38589694, 87490282], [48029351, 28350943], [37545113, 33947621], [66203586, 58102595], [52549249, 64320150], [60496805, 19401883], [52931383, 82755857], [87888260, 67350364], [38913966, 11969136], [72815753, 18023783], [51953735, 15320990], [58998338, 30656278], [60030525, 19827288], [8735718, 43952460], [83564746, 77089057], [10048947, 53859167], [29391658, 71420308], [59333007, 45091423], [13031432, 72877345], [55672028, 62105011], [41261327, 19165879], [72096848, 62627970], [80501160, 81093471], [1621341, 92462276], [43897991, 49211632], [99259871, 2835253], [847815, 66663649], [2813395, 63437501], [59771854, 43068352], [71278077, 56271616], [95608003, 64764754], [36711761, 75002431], [31403107, 14505996], [79556897, 46150888], [8433172, 99807047], [17245529, 2543488], [79903865, 56755804], [81204771, 8108587], [40971371, 67218397], [38278306, 77208372], [65590445, 37705658], [11199904, 63942689], [99162006, 35382902], [65739912, 27047358], [47677978, 4070720], [77621064, 57599739], [79448734, 16313673], [844069, 73416549], [76207549, 5221914], [78469392, 9842177], [65642661, 21329154], [65786275, 31113979], [70283340, 14648229], [77496427, 77005410], [29989981, 40918473], [39187079, 98387943], [69852433, 40960132], [61908005, 75594466], [96540548, 84722506], [42678167, 67665693], [21766433, 20876942], [91105192, 54079004], [63991698, 35233181], [71896038, 70287890], [15870608, 78739544], [18205882, 58722970], [9228562, 16895763], [91770290, 22374877], [25232262, 79352183], [73787488, 12051230], [23698279, 26355011], [52119411, 10590623], [78870132, 91348998], [94563737, 81096038], [15575610, 48269545], [44462589, 42168831], [32798653, 88309317], [5067835, 98932683], [93887768, 93980436], [97097341, 56574660], [36956964, 48910021], [93534766, 78272472], [1963438, 4456415], [77751840, 94691874], [74198490, 34575421], [16416832, 7302759], [27415168, 54998271], [44367968, 38926055], [54557289, 72070879], [20449635, 33662969], [92597984, 5272506], [10667080, 50810451], [98007921, 35770770], [81970730, 88387234], [93513182, 23555602], [86242944, 86158849], [96916097, 70831713], [39016501, 33185840], [14588934, 80786924], [3157226, 66124879], [54770153, 67326715], [16688820, 32862524], [21806076, 99865858], [94995586, 41029026], [53919867, 99234279], [19079272, 40938815], [73086979, 33659675], [18654819, 27429510], [1351523, 85272169], [41068002, 89038641], [44067877, 71783676], [5287021, 90952582], [25072682, 6414262], [86978928, 95660190], [96200751, 69772232], [51464501, 29725195], [96320266, 31675680], [92050392, 43746645], [37363900, 40227205], [25757112, 59647034], [74064925, 7603187], [69165627, 18614889], [82426143, 3852498], [8081848, 18649354], [47644465, 72542980], [81871477, 49728983], [48431921, 65111303], [48665003, 96941503], [92504555, 73771459], [29141042, 3149213], [98405287, 24190596], [36858317, 24166493], [64842105, 57066930], [46034681, 44807143], [7966489, 42867309], [22264127, 68211325], [82005763, 13229659], [82659990, 71809470], [50988200, 61352177], [57972836, 11703131], [99113723, 40505120], [28387293, 5202696], [96441776, 98925435], [67368648, 37429871], [6267981, 99916189], [6670635, 93686621], [46453994, 21099539], [74463442, 69253037], [92331280, 38856984], [74853014, 56547500], [33162198, 76168844], [78028895, 95342815], [61440910, 82024331], [24992473, 31580877], [33362359, 1677842], [17173430, 23253676], [2445495, 25613944], [50390248, 15819074], [23397402, 10269341], [79261628, 39430455], [83301138, 6214939], [49786804, 53872394], [23146709, 71216057], [83344087, 15161627], [98543144, 59151758], [42945977, 45106867], [84532626, 5479483], [36844790, 62171927], [54945261, 91210735], [51064311, 20049786], [99487503, 21902045], [81597901, 9665609], [91853076, 68511284], [1222475, 24429786], [93385427, 49387846], [34193671, 77023790], [18198282, 75640251], [57988849, 23743809], [46430635, 17731627], [18695252, 88768380], [45987720, 65297560], [55607204, 55084871], [99341733, 41616249], [56755667, 56038988], [93813516, 79804282], [25950414, 14907040], [82668743, 65143806], [9444370, 70215896], [58750654, 63046062], [24961892, 60670340], [67466082, 40377991], [95804483, 63514177], [99866644, 16420147], [2326461, 1712139], [1304147, 95828735], [74948251, 23758673], [67693249, 44417492], [18125352, 27596106], [12006940, 32668039], [59217053, 33763445], [58521229, 40726538], [85754278, 69550297], [86998203, 92613093], [11147209, 86267434], [63964357, 6417506], [29200813, 76991077], [53969118, 49362525], [10219842, 64998241], [37520395, 26324992], [80109726, 60662170], [17357162, 5910832], [72093501, 73483983], [31456868, 68668804], [51664745, 29215870], [15817504, 7643221], [60626388, 62306197], [51518517, 95181991], [19487220, 37673771], [98910804, 88708967], [9055112, 89274369], [93038586, 30654454], [23757048, 13461281], [92427785, 33651644], [43963041, 33744961], [52921966, 37209708], [71567658, 70232128], [88006480, 87018532], [2761671, 85989272], [89017646, 41643954], [36058139, 49048943], [33846379, 41819581], [48944325, 47606148], [41465214, 11561210], [85832079, 65373424], [55168664, 98212970], [28628478, 72636918], [17162248, 42896087], [62685194, 46107936], [75167988, 45754561], [5368317, 63467921], [10555415, 44448114], [34628746, 10391392], [65904200, 52131150], [3686707, 64385389], [95038808, 77226953], [6823046, 35636807], [96013195, 86459971], [35991176, 78596954], [78952190, 95675734], [25946851, 50510636], [22129721, 68206161], [42262625, 95176790], [68653687, 97172419], [91223327, 48803627], [8634493, 92632485], [12747606, 67843560], [89564419, 13137181], [57207017, 672531], [2509121, 24970439], [77472066, 96179059], [45393400, 9725311], [49809994, 77281326], [85715512, 60521451], [85975660, 20315118], [32477001, 77718819], [4346108, 60820845], [69913651, 71998951], [17599832, 31607016], [41458203, 49585888], [44168510, 47866599], [27610990, 3268249], [23438942, 12235187], [61473147, 51300675], [74211290, 92535418], [13952723, 43561470], [39124205, 32491867], [29148960, 16722966], [69860104, 48684349], [2533055, 81000183], [3701371, 14555656], [5712184, 26283291], [45377745, 28351608], [20123554, 80583553], [82469859, 15619118], [75891370, 81074663], [13522652, 81201174], [5836241, 14689510], [16290151, 27850174], [5102895, 69688550], [19861795, 7806935], [32081501, 65471821], [23051015, 60712595], [85890837, 39604721], [96490844, 78453397], [52085023, 698659], [65432079, 26467961], [74969871, 3896978], [37661931, 96790810], [52051482, 96886329], [84912088, 22653453], [7431261, 51022611], [28180303, 45263803], [13853486, 49574890], [58302225, 81285633], [80216744, 26675615], [4715251, 29093851], [61112374, 47756562], [3081345, 60817781], [36853870, 92686023], [70160074, 19251893], [50927279, 24435562], [70514992, 7729424], [77957091, 26041088], [61984842, 5025739], [65018823, 45524901], [82839154, 10037214], [67628793, 22042205], [70851289, 18659823], [12443789, 94266157], [50522185, 93084102], [50342009, 17614184], [33580535, 39643049], [82184057, 84696709], [77918992, 186708], [53949605, 99277530], [65128008, 88422721], [69390878, 9639876], [2197565, 53389869], [6611786, 95843658], [48847549, 54010318], [67874049, 9152339], [827550, 27326343], [39012410, 58425436], [61569827, 93005292], [25898520, 99292827], [78202958, 25900581], [60137895, 52529431], [22315672, 34162876], [2193095, 56652856], [46155858, 32238976], [48169743, 36324189], [41299840, 41597387], [27659427, 77424401], [14100184, 62237807], [97196486, 82102758], [97477943, 52562886], [90119490, 80506778], [80404151, 23552001], [12438371, 97011224], [76504122, 88283610], [71839160, 76423002], [61697668, 69446171], [63354575, 55442597], [12672913, 39869683], [73382050, 52123412], [39774042, 63199273], [63200460, 57149040], [61208943, 1055754], [74199446, 28530210], [78646345, 37655752], [69198836, 22022738], [66782958, 2976748], [54909452, 54551905], [12570784, 71217305], [38268370, 97259364], [33233816, 46905468], [27432523, 86472587], [24938631, 90739946], [49101854, 27360480], [47554352, 70007492], [88111191, 10315344], [13390298, 95616722], [60609558, 46438876], [61779360, 57277332], [45769989, 85156377], [77493736, 62700412], [95834522, 42091589], [58555877, 43149462], [15298352, 68266185], [83533236, 68462318], [42621759, 53128252], [27579915, 93353948], [17338191, 62230263], [17292223, 79958590], [18430087, 91863064], [28514603, 1021159], [66746450, 21449032], [21428347, 37800867], [97650953, 93235548], [57953909, 78913042], [23402542, 86694824], [18602996, 70223094], [17023468, 10257503], [10395296, 18705018], [63728259, 5682282], [64963585, 48593325], [25553225, 26811126], [96292320, 67060344], [64798025, 49765917], [97789039, 80559966], [63397107, 94833795], [36883964, 43325469], [43313291, 21030789], [41450891, 74055173], [16625439, 38313288], [16476650, 21046505], [41134141, 79484455], [74918433, 98335467], [18846374, 12349309], [49883952, 61173986], [10398943, 89544252], [51198463, 64427], [46422749, 70120742], [94368246, 60368467], [65984131, 10961371], [54291135, 73667973], [99655991, 577155], [27712810, 71024591], [73464671, 10484422], [45312095, 53202751], [3094748, 45228001], [4842511, 38080850], [27155127, 69495704], [45363220, 87721095], [7002498, 16401374], [39346007, 51466013], [2053136, 44566479], [29647872, 69349318], [40469767, 8231358], [40007944, 52838234], [63276784, 19087560], [61918802, 23935120], [13220800, 38591246], [92196830, 819825], [38013948, 5661501], [18550224, 9032192], [66849535, 23840584], [49833104, 35204525], [72149917, 61069192], [98408364, 28194262], [52271090, 5567692], [76566162, 52736021], [85874426, 53433287], [59760101, 30250315], [65905372, 71365160], [48777587, 49431717], [36066035, 18346200], [87707357, 5879238], [77774574, 40792026], [47650691, 82539178], [92818587, 47335236], [35012839, 54994645], [10533839, 71559386], [14141695, 78553570], [32317890, 49214294], [7345719, 44782598], [61305257, 15276271], [21685150, 51754253], [32634868, 26794332], [24240889, 60477806], [23241831, 48957572], [17321143, 95642667], [73585813, 76766964], [30039400, 99071091], [66369534, 34488361], [70724546, 49114534], [6218001, 26908066], [93190819, 83813085], [27654591, 75801758], [59709748, 37325075], [1175531, 16878089], [86527807, 32544717], [39383194, 19027307], [17114469, 44186703], [16041352, 99579821], [20206680, 23479618], [40892794, 66622181], [18018221, 80186835], [3578695, 40668353], [95668405, 64308367], [7245936, 52856680], [77946868, 22322870], [91526565, 16228992], [16067272, 15124092], [30359951, 38722603], [97660918, 34776849], [95071808, 96792686], [42416206, 93593512], [36007348, 94712514], [67676507, 33658618], [56571368, 94705104], [14728674, 93349477], [92213652, 36809736], [25798985, 77824529], [35612036, 401910], [95169186, 73295955], [68978131, 29773655], [32602024, 93753371], [58060572, 60940416], [91381497, 59167490], [79015212, 95071557], [13403692, 47956022], [78266631, 8126020], [53733939, 58499785], [41741562, 80813685], [14029399, 70294372], [14450954, 18731031], [23608205, 7046483], [90398709, 78937101], [87773015, 92896766], [2473602, 17089079], [97860673, 42427059], [52326924, 70449470], [35365215, 24187975], [19332782, 22979813], [23506378, 89471202], [40716060, 96713527], [72624223, 18014016], [70873994, 80397123], [17465385, 97169774], [21575864, 51074089], [38964150, 52751848], [71799462, 75187337], [69138043, 42722470], [54080374, 99457992], [62422182, 65777643], [13822918, 48597764], [31873211, 53531352], [28345291, 56150708], [42017186, 29730540], [33779513, 90522837], [75017043, 2963902], [38395841, 42115771], [49807598, 42484934], [64345242, 98099105], [26622083, 31243944], [33394783, 21810738], [98944008, 23966826], [87662672, 36992895], [20945269, 24839576], [61505929, 93582490], [17339650, 51679100], [18666573, 12412012], [72257430, 78493995], [31535255, 4343378], [77705788, 11181168], [85794547, 59308393], [72274495, 85518511], [33022515, 62537340], [77082945, 89814457], [38009488, 15694165], [80914933, 43580565], [77727909, 67169986], [35104226, 47436243], [47620979, 3753693], [84650788, 38249140], [43010266, 6910312], [24897619, 30472203], [8641777, 76877487], [89770076, 66126739], [3532021, 36646682], [72337994, 59773632], [20930129, 56193417], [45549487, 2279338], [30341577, 53400975], [85953842, 13945995], [26639565, 87577046], [67665239, 57426261], [48377266, 74788877], [60874588, 30744276], [62459127, 9472892], [96665566, 5506193], [41933652, 45888981], [71364274, 59460275], [86517992, 22154870], [75936244, 80789022], [2219973, 33200308], [42381791, 6334164], [66125309, 6611170], [10066834, 65181421], [64922895, 12017338], [58506631, 35785474], [86741725, 75725573], [50199650, 24748025], [8418033, 97753126], [24690331, 64360616], [63498598, 66457767], [96268818, 27151009], [46567824, 24480469], [79510369, 72398630], [31359910, 2952046], [63333311, 46631871], [9654475, 89485799], [53081285, 28228269], [61670561, 29978917], [98351597, 19630903], [4779741, 88346029], [19283532, 98839184], [13700405, 31560428], [21564960, 8780851], [75715580, 45358220], [35769339, 17364688], [34814411, 91253545], [98400426, 40422866], [7803226, 69462953], [12697551, 19889717], [12732380, 92834421], [35585593, 24402619], [99480351, 10547437], [80172657, 49119541], [67211569, 95184021], [34075251, 26311294], [98734836, 64794819], [10138393, 65004317], [57374343, 38125012], [42064698, 84284810], [46023053, 80271889], [52265187, 90491001], [14503858, 16374724], [71358953, 66520441], [39779883, 89159349], [25230055, 67159215], [89651775, 39311284], [12544707, 72831356], [87632031, 72948540], [36540831, 1849043], [92427480, 43427888], [95321882, 61720527], [78788084, 60754680], [40714579, 20190071], [11335807, 43288692], [95445628, 59253096], [59779336, 22126922], [72245604, 89187071], [51579157, 28667881], [85744964, 64429136], [95352023, 71306850], [82639371, 45345700], [16010448, 14012691], [99566043, 80543965], [30403952, 76188648], [87879829, 28850159], [3118757, 32855623], [9475125, 63602569], [5710736, 11998306], [9442935, 72295740], [84712194, 16595306], [26262009, 98105610], [2780515, 63907714], [61465467, 18676595], [76517934, 77085136], [87346390, 54723112], [43440797, 40360546], [46303577, 28474918], [83133131, 51819998], [86982631, 72549990], [69180503, 78371719], [33828833, 28072512], [45974233, 46031464], [28572090, 39687769], [84561644, 27067013], [15974414, 95272156], [98032743, 95544876], [80870766, 89286826], [74043831, 51403435], [76285946, 36717458], [22025254, 2701921], [50943897, 40733098], [47094832, 45147748], [46438363, 66586518], [15415931, 64159044], [4646705, 57728691], [97809712, 95537746], [38819945, 70917400], [32246211, 54299248], [75187686, 65771367], [13340742, 15072967], [59018879, 76598345], [59611629, 44134517], [66195787, 8963874], [25149688, 45566461], [83461954, 69046503], [93482928, 23111027], [70866641, 92943283], [58351363, 9211166], [35734698, 67710306], [56390981, 45270929], [10673554, 25773113], [38910077, 38951076], [41130790, 549465], [12531279, 22889839], [43620311, 51108221], [80244531, 51950867], [32668429, 2749859], [66824252, 4338174], [79782661, 79545044], [50619167, 36498980], [32199560, 64303132], [5128135, 21976260], [32324854, 20516136], [88534443, 64236585], [50020257, 87138013], [93186546, 7352457], [88527451, 53201555], [90346959, 22043644], [50210857, 89550558], [67082032, 91778913], [66616566, 86027633], [27654376, 53149053], [95124659, 58800344], [31743037, 54998277], [57797630, 10257927], [31980589, 27220787], [89993721, 25153658], [30440527, 51531964], [65347464, 88935845], [98924983, 92031226], [85780498, 15418191], [5158405, 86635448], [75666548, 77039585], [17259345, 35781966], [10576748, 35458924], [1674852, 33619493], [81151392, 37735667], [50284059, 28558660], [87672922, 47406602], [99898897, 52392530], [34136144, 80339520], [71444256, 14021659], [67404242, 27541741], [54335498, 40199432], [7503414, 50197926], [84447385, 49336254], [50106826, 29847829], [73113784, 57044782], [59861233, 42692023], [11494941, 42197040], [38113924, 93983501], [12747782, 53163108], [12779865, 87988146], [64221805, 49366531], [70250146, 91010307], [90256286, 57664754], [5068870, 31176421], [46712760, 89279682], [94603605, 96361924], [13323040, 58900828], [44524001, 61461306], [373420, 18500166], [8908681, 39524243], [84445733, 28346088], [45286864, 4092326], [75441112, 83651798], [71814546, 42382595], [29538353, 70563651], [91363002, 93707937], [36295769, 14584996], [31341495, 64580524], [86340452, 68163629], [54346714, 65062365], [58755792, 19578982], [51592522, 58421422], [1473265, 9956158], [5182892, 73682100], [66290849, 40204361], [93083466, 18410699], [28788229, 26095223], [52013970, 79580011], [11002683, 95942376], [7099328, 52514203], [70674309, 11331655], [38188856, 35099394], [55083295, 43319389], [84918558, 41971343], [43594973, 24175987], [88950242, 37683448], [50605724, 18989865], [15434348, 5741104], [27855148, 23849874], [80900513, 72459700], [11622665, 9488324], [37175785, 474443], [80928971, 49857095], [67760264, 82178331], [90714380, 40615532], [16663752, 95359997], [19875075, 18096841], [2274811, 24541069], [89070986, 79139565], [83398128, 49735297], [49537817, 62189683], [29607065, 20901362], [19951923, 21015362], [15025301, 48737830], [88562387, 45349983], [17438625, 98504278], [66272445, 21304089], [32183344, 57194036], [81177526, 58869082], [12363974, 71752572], [14569432, 28882862], [63836447, 45759018], [34657554, 15826578], [87505748, 32938751], [94807798, 38809185], [26548093, 615358], [75509633, 82721655], [60670057, 60163652], [3789518, 75188291], [11138383, 52746167], [61953757, 82665126], [96199750, 12186369], [10327401, 99831689], [44940413, 34269374], [53114713, 52339687], [56324332, 50226314], [47237860, 331069], [15514979, 5916225], [24238235, 63761905], [61841430, 83858356], [73835403, 40848135], [24368558, 85101926], [52606221, 56500150], [24973556, 50290739], [99578127, 4646002], [36296238, 21473383], [79842625, 26662992], [47724848, 24773897], [67440642, 86637862], [4644230, 83686034], [87581979, 84052105], [43401760, 32133812], [65954878, 67215735], [72503490, 87571100], [38461295, 15595988], [80241412, 37518252], [32976161, 43920677], [87923604, 60088526], [89927668, 7014787], [28317882, 65355483], [28659817, 36266603], [61799980, 64305666], [63352121, 43950611], [60698451, 9909469], [35319776, 43031005], [37903988, 59060463], [35041623, 10800763], [14847470, 74143673], [69974524, 44445507], [25317314, 89631361], [34645665, 64637182], [10997470, 49746409], [82336770, 68520325], [35721290, 80854165], [66506676, 62022115], [28981644, 37218370], [17495854, 39455869], [44949478, 2691169], [12453047, 94904845], [11260003, 39944796], [64955867, 87286527], [75540796, 97034571], [42579197, 8318346], [89632103, 59121984], [23644810, 45389689], [5474562, 65815074], [78577438, 95415545], [35375893, 72814407], [39664595, 53699568], [55063263, 56819177], [69694358, 96056893], [23729951, 43029566], [22164783, 62415855], [88007858, 19450826], [66359709, 53614463], [77354616, 98358694], [29196789, 51804336], [98041524, 98816200], [29200789, 15764153], [3856461, 18229353], [71872910, 99133101], [55947784, 23955706], [99173763, 60068543], [8865002, 57742962], [1848572, 75513145], [12382323, 39317671], [30109002, 42885296], [58172839, 86953513], [19829339, 95292984], [10061770, 69182959], [83744233, 53102682], [93124612, 23094496], [97877511, 44473992], [27696010, 29121554], [4193709, 19640212], [32539150, 53155584], [67415382, 87180993], [19996697, 78110959], [57872346, 92675981], [19909286, 54008592], [50354338, 64262667], [4385212, 7857024], [78525997, 3422781], [23249487, 60438525], [69179285, 12537524], [11395425, 80192315], [37068135, 1804405], [31039632, 88783722], [37811494, 24147008], [72025809, 98156817], [84715727, 31385806], [14096161, 80736891], [79031263, 89511940], [62706521, 12122394], [82674388, 57052367], [31978169, 84539506], [20627044, 57369015], [94338408, 8457537], [32455011, 6320685], [69871791, 67832789], [11985500, 99078002], [71177112, 73368790], [78736404, 82313883], [11600896, 83959531], [30345017, 6378371], [39323506, 55891567], [77446522, 8829543], [44647684, 76619057], [95940740, 67937461], [10693349, 93913415], [65781172, 52201816], [3760903, 28718766], [7636735, 3961989], [62396911, 56729857], [445372, 75294894], [38442428, 30895727], [69971652, 64680000], [41114497, 19506792], [31260090, 41639567], [27930264, 30427280], [61901437, 57225341], [47700858, 67257653], [48840296, 77533905], [40477011, 15081633], [1969521, 97207474], [79689603, 89651230], [91130603, 42567103], [27015500, 42858076], [88745890, 2326953], [88157337, 94934001], [28199648, 6680853], [19404727, 5563315], [94470102, 53702901], [18228140, 84278250], [57569332, 43042788], [29946900, 82305557], [56016316, 7315210], [10190005, 86923078], [78924548, 77166091], [89123845, 3223090], [56660359, 12883730], [47207055, 78194866], [87528288, 10568075], [98159370, 74313191], [79203172, 64770345], [15890564, 71726524], [49980632, 19524695], [68301680, 63394694], [22431717, 90812793], [26555633, 3688787], [56694544, 86847528], [6324853, 73291040], [90885608, 2618256], [82042930, 465746], [23358605, 29379992], [81341224, 83552669], [69131114, 34347236], [46837556, 85421470], [77359360, 93167552], [1180201, 23297200], [18802655, 72066677], [47099639, 26869276], [347961, 84181975], [19802189, 90940455], [57062448, 91329315], [26040377, 37567619], [1715437, 80166633], [93961285, 29198726], [30222804, 38883507], [56304083, 74890408], [17135957, 64433885], [60062126, 96697676], [6776008, 39466817], [42452849, 93400158], [75987204, 54322212], [6829610, 41843841], [14646109, 83816106], [88747497, 68541956], [25467535, 41916810], [68294149, 21873061], [2354543, 64143077], [24688597, 8012465], [75466256, 84857282], [66586505, 19430050], [28478490, 16151482], [25914571, 11740329], [63404925, 5800875], [56973195, 42754889], [31409691, 21533386], [54825034, 7985256], [20583143, 65497933], [34137553, 12523878], [45336809, 63503409], [26683899, 31186341], [14179379, 43616039], [857532, 31697090], [45093593, 8619997], [54337445, 72511952], [87115483, 67716727], [17809157, 65277180], [7335806, 55196158], [19910523, 88930196], [43741302, 67174463], [71547323, 72876163], [88236782, 75690423], [31150183, 45702383], [56170264, 54575575], [39038027, 24534016], [95210582, 11344070], [94261708, 45802057], [93307331, 99720057], [96991729, 71112484], [37094766, 50435674], [32393764, 7117383], [79788085, 97031779], [40360080, 45462718], [24546351, 32531732], [49264464, 7571435], [53407437, 58209141], [40796455, 29265814], [25468098, 21761159], [29306965, 1583826], [71642713, 33109306], [52640305, 78755805], [55049332, 86151932], [46395871, 30970269], [18388113, 80818177], [41566903, 26327916], [27129846, 17357934], [75350022, 91631773], [55139560, 80438582], [87790984, 48641828], [62592101, 71733119], [62072630, 95406316], [31993327, 21761349], [28199377, 46181382], [28931081, 91396338], [32835225, 36236828], [33632332, 18650993], [43522422, 21907904], [27153942, 73246864], [71134330, 86815249], [54439434, 84713398], [33626185, 57740934], [825666, 73447481], [32865207, 14468167], [17250508, 32335737], [42110343, 26992694], [43144617, 33962829], [2859328, 37726024], [83521565, 61605003], [79963054, 8376836], [91101926, 43057278], [23431726, 55700469], [24408452, 90655201], [44350828, 24059349], [78472568, 20964561], [81203021, 33770979], [75572808, 21939281], [81473201, 30769976], [1683162, 56558809], [24797745, 87815421], [21045420, 95194767], [87570683, 38976840], [22226536, 54559504], [89716628, 99073467], [92176142, 66067374], [11914889, 41431351], [21701978, 41889188], [69331828, 28174112], [59361118, 59017859], [40397543, 91723401], [74388136, 59632520], [18288762, 76978280], [91363547, 56389027], [81195880, 65535556], [30002927, 65830887], [69723560, 4833237], [79739387, 66191746], [12040492, 20925892], [87037163, 99838138], [31854218, 7989074], [84311385, 30915293], [65094805, 36140208], [1762235, 57645167], [19188360, 38671419], [71043641, 57724349], [45431886, 49604542], [10890474, 26351756], [37177637, 11032503], [9734516, 74756716], [67687308, 25354135], [85533374, 83266988], [32768331, 60979779], [58929101, 95880388], [2953458, 25617301], [58554380, 16093496], [19038825, 58828356], [6464034, 1041403], [53234488, 87044342], [81414767, 68177302], [50024363, 59545486], [52404708, 90118947], [2916585, 12716967], [63739870, 93555147], [20199367, 67067697], [72763908, 57980789], [65468694, 57353809], [10795183, 66634878], [39816012, 96003452], [34582058, 54557213], [1173575, 94526505], [264121, 82303881], [14985169, 99367479], [87893233, 81298312], [84407550, 35143833], [47011404, 67736958], [83350104, 81610146], [67302455, 58719829], [69712328, 51095569], [31307715, 37991432], [43742788, 49152676], [25919242, 55030228], [91969943, 80113955], [88919268, 10768914], [59379105, 71170956], [56998155, 47284460], [96413210, 69260015], [57083651, 39699799], [68682051, 48008021], [94700179, 60796421], [98800774, 75343015], [61491359, 50204122], [98302770, 37400304], [82687209, 62188886], [8118162, 29197675], [69820410, 22127514], [66502450, 90751167], [79817610, 5677984], [56785664, 87962968], [75144590, 87570908], [51370144, 88476719], [44419311, 45169414], [33585446, 84851630], [70516175, 36499693], [80689618, 49110367], [35876717, 32205414], [6513278, 90150545], [67490561, 77384903], [72455043, 60273904], [30911723, 60905613], [70496960, 38953015], [50401239, 12201592], [9808320, 14763304], [57786749, 4350918], [19416396, 84364494], [49148991, 80799583], [99121435, 10204180], [15857854, 18003867], [87231788, 70787305], [77412117, 60186984], [69673047, 20159125], [48938523, 11480482], [25431664, 66571184], [2766022, 14037129], [45569520, 87973958], [82130837, 68048314], [99433635, 79007100], [87664560, 40959626], [40804031, 78429736], [43132750, 73931083], [62785255, 31770378], [63002354, 43519528], [28039600, 36354803], [49355277, 94347674], [10689159, 45483227], [94444031, 32546500], [19130185, 64017022], [75453991, 95959759], [67977692, 75415178], [23635178, 11004345], [31907128, 70307018], [9562837, 56972226], [53239295, 20986794], [57826055, 62049631], [39027637, 1869567], [44702044, 26637377], [20906714, 17162568], [93916125, 25612461], [73380914, 77447748], [67299356, 24952804], [42787253, 52923893], [11051200, 8344153], [93687548, 91290011], [63152351, 66649918], [49152137, 95092130], [25089163, 32120135], [99351158, 26816138], [57051055, 91324866], [38575748, 8499051], [70992985, 7833553], [74522485, 13966531], [44138982, 41177350], [51810118, 52407504], [21104920, 38447477], [80690224, 66960132], [32939912, 21990008], [55639812, 2885385], [17214678, 46254948], [75808833, 57554578], [72205338, 87967549], [54408650, 3695188], [13109498, 56513106], [28102765, 8382158], [34316329, 10106840], [14128558, 35475533], [65935084, 75025107], [14865989, 76805328], [69083393, 75042611], [50734763, 28241240], [22367570, 896599], [53448113, 32041946], [76159910, 30122178], [32217564, 17848682], [37399908, 22873576], [94835539, 35611816], [58165033, 89019302], [59626450, 89967593], [75481195, 88934455], [46655978, 3799300], [79015046, 92770948], [13506336, 39561816], [78893322, 18061181], [66659293, 60596453], [52964121, 93306224], [14007891, 5994082], [41184778, 20555943], [38464209, 47682687], [62429233, 4743234], [18960744, 84845834], [16981145, 24999455], [63823619, 75597905], [11660375, 9582178], [84682305, 85256268], [34182786, 83055030], [69125169, 66236272], [37186325, 69494914], [50144056, 28212730], [44603172, 12155779], [40657492, 40382174], [99109695, 85554099], [92230931, 28198509], [64336947, 42223515], [58425685, 59837], [93955422, 92245890], [46815455, 29103602], [56110760, 68178730], [11701886, 12547180], [79601145, 73312191], [23094242, 43749734], [36072683, 8888097], [57870521, 26649785], [65438543, 95092095], [97982731, 8281544], [69882328, 50516075], [99228184, 84559320], [77964431, 65746155], [79968882, 29086778], [577656, 25486802], [88244556, 33729027], [85364526, 66305603], [99811056, 4375441], [16818067, 32074143], [20393255, 34648024], [24293391, 74525508], [97733754, 10420172], [15943259, 53558391], [32529205, 47926230], [63965315, 81455336], [63206775, 22480700], [1386765, 34477987], [94606460, 80773540], [6006115, 43252916], [89173491, 91466093], [72121763, 47403694], [75700238, 83307252], [29504414, 72979819], [50933563, 40869227], [88599953, 45981517], [98193304, 883571], [89692317, 43442044], [90445677, 42563313], [7074445, 88505953], [42001633, 72859573], [79435252, 67586918], [39674717, 5929606], [38580219, 2991372], [34833031, 37167490], [4765177, 59395715], [47343477, 15399249], [21773915, 89316781], [96577753, 54921199], [50920778, 43834840], [60555109, 55614311], [10176320, 89496332], [38767903, 96089986], [6577632, 89342137], [5901515, 79133199], [55641605, 48606177], [67882774, 2630148], [19878165, 96878441], [53892351, 76307642], [83646829, 56664652], [50885494, 25691430], [24355144, 70419918], [11753902, 47570261], [28177719, 79579525], [8575463, 1050625], [32231527, 83017587], [80573709, 53355267], [21381988, 50048474], [28615262, 11756465], [20835696, 52638343], [97319702, 44054655], [41965925, 60923145], [57535579, 59479741], [47691136, 40016161], [11366315, 29986947], [69387574, 98729274], [90680730, 52726567], [29971716, 43173070], [92408356, 22172552], [69633998, 11391580], [66015214, 32580945], [63225328, 94571225], [84690032, 92244156], [69190529, 1280291], [61371689, 80467057], [37290575, 59258229], [28801656, 10231269], [59626206, 35837717], [21389479, 49238685], [18236539, 47987666], [38948618, 98963259], [94161341, 85460306], [88798705, 63396549], [21209179, 30165891], [3634256, 32476948], [2980164, 76365414], [71012128, 20493021], [18489111, 47862809], [86820289, 92342541], [63799424, 43318911], [34279324, 83005974], [67099126, 93106947], [52673037, 63989569], [28976921, 23688449], [75012774, 82169878], [82009112, 24211176], [258596, 76147997], [28239299, 18500752], [21691263, 41173493], [68413387, 19180073], [25934727, 19333260], [68057947, 22396114], [13407946, 49861314], [2192915, 55778886], [91972094, 4788945], [31195061, 35307798], [15708873, 17198205], [10812346, 7260479], [61442308, 62215578], [40704578, 30493073], [82036412, 97477331], [93181533, 23346433], [31820966, 40027616], [4649921, 66613455], [85788297, 29133644], [85091188, 31701900], [55161676, 53629839], [38624501, 22525479], [65334478, 30542350], [94271494, 63054766], [81401540, 11996280], [64261334, 93677836], [12805740, 47639827], [9211331, 99097305], [40275003, 86048962], [10648689, 31720231], [92614962, 65919197], [98227494, 97534051], [68019517, 75290848], [24192672, 71429059], [90031201, 88546006], [43968237, 33727822], [46940045, 6942810], [56122461, 90311093], [54626499, 26684654], [87144583, 21286575], [99792105, 28221858], [46812171, 65542023], [6180073, 48395387], [96993041, 92064167], [28948738, 56174074], [8730293, 2715092], [29262086, 5940843], [22397300, 66315919], [83918252, 15769504], [48168106, 59891005], [5188032, 46574358], [27710153, 89725221], [50149967, 37801579], [40732574, 48189733], [33288583, 70644140], [99098864, 77390014], [19085304, 74557138], [20890904, 48652343], [88263725, 81780808], [47583033, 61159538], [40890895, 69795532], [71080359, 41454963], [30703371, 88831530], [24309557, 41612556], [97973637, 80814310], [74572163, 88941770], [9541467, 70046923], [16220414, 97237983], [92960527, 95754186], [66533708, 4179288], [71381520, 51890851], [19355147, 29141298], [60683018, 12565598], [76523051, 50574856], [25395284, 6323196], [56409408, 74792707], [25760375, 58676987], [57554002, 62978513], [10627056, 54181583], [68820725, 15398988], [27991611, 83284096], [49109042, 54485688], [45522766, 82826406], [12955694, 9164680], [23940401, 82717546], [63169140, 76695926], [86314912, 33735237], [11383834, 67789061], [11131553, 57160537], [16318335, 74962173], [86679830, 69282244], [4426593, 2466478], [12244788, 55910736], [23536516, 80285714], [10743705, 52529401], [83838129, 9154818], [5328527, 11623283], [62926563, 68719932], [36832834, 53985753], [22790090, 377420], [93231283, 24956392], [31777343, 47410909], [40232591, 68722619], [66837121, 89452633], [21048980, 21680809], [32643512, 78522661], [14686027, 14684002], [58868992, 37359695], [52890979, 72436743], [38278686, 94453523], [42647732, 24113360], [32766446, 41921030], [77619611, 54548315], [59250686, 73702221], [27712991, 63226969], [29145959, 12621469], [19077974, 42628255], [97169695, 82945558], [15958725, 45734577], [44811109, 20355162], [40618226, 364340], [93530204, 67621509], [49261363, 65208787], [28385020, 44027243], [96500468, 95070327], [15393241, 49372261], [8554837, 29060172], [7364272, 33092155], [63795327, 69601079], [11270228, 89251432], [27904953, 96624895], [71869427, 71881400], [46131559, 77905564], [18522777, 52815704], [94144078, 55321269], [49951493, 58100035], [84498361, 11383847], [98522588, 68375557], [24995997, 29935032], [37509287, 12648223], [5394013, 19481420], [6011818, 91380910], [12618662, 23358315], [51750968, 99840089], [41300358, 62903373], [26114566, 92792229], [73258629, 11284097], [6885596, 59576904], [73826788, 99420686], [78700931, 91650939], [54783414, 15838692], [37151456, 68312550], [48664841, 88551787], [69519554, 88146199], [80564789, 7245704], [94701462, 466662], [91017555, 55849170], [18256725, 58268305], [52084838, 95516114], [48141205, 17333724], [67938486, 15346548], [6343348, 32441345], [41234101, 96918649], [1785395, 30911786], [28840296, 95550808], [75185742, 39673253], [56177588, 60886933], [31158941, 42010950], [61934352, 49393886], [11314032, 18945033], [63688179, 84482843], [69440489, 86654877], [96187306, 72307589], [46259697, 95067274], [46622804, 39047348], [45660853, 19750305], [43854080, 79021404], [46805375, 61678730], [31897191, 63394922], [2576289, 21613069], [41931252, 33976776], [9627526, 70100091], [38291961, 80659423], [11123623, 3582110], [97105357, 88926017], [87699383, 25709417], [31114259, 8417284], [64021524, 71351696], [34659238, 53755533], [79667832, 68173848], [57336289, 31866868], [37019574, 86050979], [8838402, 84398666], [89373662, 93550596], [2540692, 78549446], [59610787, 4614979], [69235791, 97545119], [64563067, 69022126], [87383437, 8112884], [71494531, 11577631], [70497982, 70854833], [31337585, 59903992], [2114591, 86596046], [58160929, 65843037], [43994386, 86252828], [52165113, 73289051], [32936923, 63027337], [74545970, 69534115], [89345799, 47887160], [61871280, 99370725], [69977990, 89744719], [47068076, 67300064], [51894741, 7393898], [99625360, 74681566], [43151415, 16546650], [3747766, 14323133], [93121794, 85185331], [92810624, 24144319], [84979898, 44983407], [94888794, 26617274], [73457963, 1508511], [56813471, 25724557], [38418263, 74256242], [55926230, 67782039], [70322679, 92135649], [41584472, 11977116], [30768330, 34950490], [47500671, 56752276], [36529877, 99957970], [70443214, 24910925], [36306853, 59896141], [35779931, 36768093], [16761345, 42243831], [53890088, 30513202], [30858152, 21861958], [60620730, 7492966], [51891305, 67160667], [21202277, 82512484], [35459152, 49514961], [25227733, 50349849], [42648666, 5950511], [10524531, 79875057], [26050790, 17601767], [77383186, 75127274], [42698699, 24109816], [47025422, 35779143], [29420981, 95124739], [1015644, 53296129], [61883616, 79413852], [78394862, 40334916], [92805838, 52924782], [41002168, 4848565], [86880672, 64916298], [59341184, 31289156], [91064660, 54121648], [5700124, 79118798], [58348032, 89393287], [62326702, 62947521], [98450488, 76103369], [76461708, 39027672], [47429343, 44909687], [50238846, 97621428], [73943755, 15548118], [22092246, 65278980], [30019529, 74112922], [53914830, 43000833], [48307986, 34689056], [4425377, 25046946], [50584449, 66319891], [82481734, 8425679], [83612607, 97503453], [91896600, 7355909], [27247412, 83977909], [58911794, 22135274], [58615003, 97730125], [63807428, 61629279], [70655979, 48861206], [5876093, 1935152], [88137057, 64661427], [38990126, 31168714], [59411659, 98011440], [56229741, 92387930], [7058846, 94419374], [69659593, 77847021], [52353051, 25519670], [86295866, 58048773], [72363415, 3413831], [64593427, 51282333], [78615845, 88014728], [90496547, 50505300], [73356947, 9092839], [93966395, 81670619], [83906934, 14837512], [29374112, 62417642], [12793233, 33447229], [65270176, 25432091], [47559144, 43234916], [87039619, 80461344], [23161964, 84550523], [41945189, 12858353], [88592453, 31091717], [38980185, 94483512], [46791609, 99163980], [90155138, 5652598], [11975693, 88081539], [86435576, 16411610], [93643209, 3935822], [20704127, 47912539], [18197711, 39891787], [53452112, 32821988], [29163836, 15340342], [82974343, 24204183], [59835426, 48772271], [21383987, 88349525], [16180440, 52615977], [75174162, 15306033], [44799259, 9172039], [223126, 14753219], [17041749, 87636735], [51008623, 48414356], [75055328, 61394193], [74688568, 65920409], [4451663, 87528152], [12181704, 47277118], [46278841, 60423466], [80869953, 61633628], [26758105, 28903766], [23783034, 85361625], [57571114, 13784012], [59371403, 69446281], [92477773, 45610789], [16429686, 86936102], [77979400, 55247484], [90248557, 77332915], [98159617, 87133167], [52911117, 61684498], [50035345, 39504561], [27138978, 30611813], [81118850, 63919674], [11113530, 41882097], [18002272, 86220977], [68370438, 99293142], [74804519, 45983978], [34619752, 92810627], [33907716, 47668925], [62294362, 26854340], [74190363, 31144915], [64331653, 6106079], [21338070, 71147533], [51456835, 48496537], [59316862, 33262459], [26108984, 11305478], [36683854, 72028703], [78124110, 12990309], [15619162, 92105690], [52594247, 57401769], [87914847, 93146132], [57277332, 18228845], [72848412, 79729574], [74293627, 92932114], [10984377, 29226838], [4180416, 98861348], [35822844, 62678103], [57262814, 69660820], [89644600, 2891396], [95612465, 92539391], [94529218, 62807337], [73669905, 33230147], [61860381, 19802435], [45811859, 62051810], [53366464, 95933103], [13504612, 5014461], [75502420, 20782313], [27905760, 90663813], [35749983, 3644383], [47024934, 44151453], [96641472, 46290103], [2685620, 77983410], [56448142, 60751992], [49555578, 95110211], [59747943, 73365678], [84454477, 50636664], [91211946, 99102711], [7368220, 33192499], [94888663, 53801055], [3462978, 99119850], [43697516, 51755219], [23617970, 86396330], [62932519, 23629909], [65301658, 70974626], [2253557, 63417312], [79076734, 6213762], [80428136, 32222246], [29006030, 46110288], [80665666, 74739522], [56296586, 41777147], [37991760, 52048180], [12279849, 84800260], [30517289, 70845815], [30462507, 33835075], [46768773, 41095625], [53662586, 17782953], [46604496, 19293586], [11211515, 58030172], [63371657, 60116232], [28134925, 6616864], [89263286, 30728579], [2838821, 27866216], [26498253, 72936213], [13620315, 98519267], [92017144, 93582255], [6653708, 28294685], [79432148, 51735703], [99559531, 60850041], [73063791, 50725006], [28640110, 76338126], [94451298, 35270849], [89164220, 56612826], [33305462, 72623013], [71933276, 14241663], [62253332, 43663776], [70120005, 11272656], [37218845, 98714173], [62399563, 32143067], [95447910, 58599868], [70767562, 59816972], [69787642, 30583081], [65721085, 37644293], [97412879, 71327273], [17254260, 59370779], [22574155, 8239805], [64695745, 23554951], [99024449, 61024424], [65687472, 97887760], [29576526, 20280602], [8225441, 3130064], [34325416, 19760229], [37259168, 88029164], [98643218, 76612440], [12412677, 30683100], [92678392, 57667094], [53110527, 90050159], [34331236, 82070345], [16927637, 15426179], [66962065, 97516637], [11789408, 26297175], [12709455, 75598422], [48048052, 54854057], [16466125, 8099236], [92316396, 74387944], [99557166, 79927806], [57688505, 58226875], [55532079, 56306749], [98107451, 88420288], [6986179, 25975405], [22727653, 66970309], [44782945, 99208038], [28691031, 53172350], [40468559, 12122769], [81508168, 52777016], [19596579, 27919091], [22665251, 58028960], [50178235, 58873002], [90086268, 47455698], [56210020, 99293588], [79908818, 63379874], [36789066, 20757725], [14795430, 53526694], [77349053, 86928084], [57885489, 81847014], [99366533, 80515327], [31264466, 39011751], [78468408, 33197387], [1778446, 20289104], [17453262, 10201803], [84781373, 97564039], [36371132, 71639914], [79237380, 24880950], [64925781, 1177458], [90384982, 15032651], [72609505, 91285749], [69344334, 16512912], [14212854, 4677137], [33991929, 28057424], [28639353, 97086254], [63134816, 1767396], [91488612, 90867316], [14502774, 19006698], [97773860, 38455886], [67353476, 87141272], [2471490, 56206333], [22561844, 1667731], [28435447, 77757652], [88040139, 45883680], [30052920, 22979465], [33966, 77514474], [67577620, 23342753], [97825093, 87767070], [49558762, 61576978], [54829253, 98165523], [54418003, 65289026], [6127419, 51392373], [69464200, 79873378], [90082373, 8090331], [5915116, 5633354], [30366278, 87883584], [80482529, 40836309], [7017764, 30842145], [13259880, 51691355], [97693732, 3163003], [1338590, 15282784], [84560752, 53698739], [85221026, 23218730], [30878559, 44507230], [47262685, 66349364], [9393977, 76919036], [62444611, 35544490], [46950504, 63675066], [72059892, 7503869], [36814498, 43339440], [62097925, 28999407], [23164860, 15604756], [29808916, 62488883], [89657390, 2171129], [6159123, 36893318], [83984757, 74426805], [39148858, 7082662], [8408103, 67560398], [10281169, 2306121], [38549229, 39579063], [36815570, 19850309], [21989933, 24986654], [85579541, 40590378], [84256754, 19955613], [47215551, 24224001], [59280025, 32106689], [26853649, 12515588], [4651751, 57782029], [7657809, 2147191], [19769567, 64084304], [35232317, 63711837], [39616240, 30177280], [27185027, 54951842], [44256407, 96731040], [34201613, 41687284], [47190927, 73717192], [82224035, 51274069], [77899779, 80285346], [62186456, 13987249], [95385192, 82344258], [29940557, 94715748], [44256564, 57092992], [38429856, 31559129], [48048903, 84353952], [55558112, 43336576], [79554157, 132425], [68786321, 56860633], [92687828, 49789439], [68396881, 67723609], [59856003, 16882386], [67868011, 30581638], [50099106, 87239465], [27960445, 21833934], [34269515, 28862246], [60906007, 85280367], [23823631, 74925450], [52317237, 72081130], [22286500, 20604246], [14444768, 64953122], [9029019, 27080198], [14458049, 84434353], [99864949, 18995358], [93329885, 50029493], [26394952, 6595848], [55764635, 26316476], [30017360, 81674360], [37231066, 25708136], [23072715, 16301985], [12904540, 25918224], [91051768, 58557830], [70316734, 59348836], [79955306, 71829934], [61868561, 65647700], [64117631, 59789738], [33275869, 67717828], [34084116, 79465097], [33088094, 92354272], [36935056, 80589863], [80067726, 13339295], [86981555, 10287798], [52173539, 93070261], [13536199, 47534515], [12826676, 99669518], [15137443, 66221025], [1586548, 93441887], [4223518, 69838856], [2208154, 27070618], [97651491, 57834139], [78806571, 22081518], [86433834, 93426633], [80409909, 2457212], [66704273, 4097594], [79530044, 72424710], [45228370, 61934528], [54792503, 69398388], [73240945, 34774468], [69627096, 28400207], [80990913, 40761480], [20813689, 70019510], [7811907, 3432695], [53850014, 74085170], [28203679, 72876317], [57377637, 12814736], [99106683, 27529253], [69338773, 4089243], [57968851, 66707467], [53895836, 90008204], [84705147, 43623239], [62445493, 10576094], [63281867, 18912995], [49292291, 31288841], [68489783, 19934528], [52280604, 21349023], [38075590, 90624273], [46599215, 89547312], [33863939, 82828020], [59400724, 79864565], [23688510, 38110745], [7035936, 22941747], [10117117, 72808954], [42596694, 27742825], [42816762, 80805475], [24728482, 27010985], [19785493, 87918309], [79716244, 22269707], [83127683, 72039683], [30641334, 86181041], [79628125, 24089079], [98387191, 61613486], [65123173, 3696954], [63176495, 75669084], [35930022, 63993620], [60641160, 83336881], [77029262, 29063225], [77171155, 79320132], [46359084, 44317089], [4873653, 94800028], [39770448, 23884214], [177816, 60873215], [29458682, 49882490], [99338175, 28900172], [92285773, 24627041], [80816236, 65495130], [98142814, 15275511], [47702785, 63373898], [77586992, 77950082], [65845027, 98168593], [35242077, 13638392], [87807177, 6775450], [16913069, 75280425], [77300338, 48916140], [842774, 85566332], [79870521, 46920075], [75341955, 22089506], [2725618, 38884192], [21049660, 98598375], [59660249, 14347013], [96374970, 6659091], [2690909, 59699069], [7532866, 40401983], [63396375, 94920089], [23311661, 69247414], [3055281, 5275132], [72133567, 72529652], [56353135, 36133817], [97014193, 14404967], [23868724, 20288434], [84941292, 81946679], [37428303, 6787389], [22319290, 71061327], [98100831, 48378922], [91310265, 33388618], [79630432, 14528762], [58088920, 68254454], [21027607, 27813088], [26793554, 28068737], [99540752, 53212153], [914574, 2404982], [19969648, 95179911], [85048083, 34291894], [71662980, 79023636], [7904542, 20119706], [78851870, 57192220], [27149131, 68031733], [38881948, 74580639], [24779727, 26236937], [34874629, 74083358], [5949797, 47403006], [37575934, 14339398], [42041374, 48957287], [50431780, 56456670], [40125782, 97379620], [97498111, 84650118], [57371324, 65321610], [71864618, 52121996], [54834894, 55361819], [67077065, 16502865], [53586116, 31486520], [69483205, 47255211], [4291236, 31975580], [72379940, 87310966], [7278291, 51143060], [49595505, 48189396], [79563227, 18209744], [97189273, 47585452], [989443, 61080569], [24069663, 13505603], [52481112, 3362386], [4094125, 48949255], [6827686, 19009004], [415765, 26547262], [72399439, 91088074], [98483231, 62946692], [44971310, 72352483], [62677184, 91213343], [48283479, 12466204], [10471237, 21537993], [19107620, 271029], [64683956, 57445078], [66082851, 47617474], [55953541, 9448957], [32559089, 84745764], [13544070, 8289212], [29753580, 66280319], [47590485, 62526850], [79901511, 64890171], [64110020, 23125175], [51345669, 48963951], [1515057, 79756267], [8353754, 48585573], [95498632, 82049967], [14122954, 50701046], [10049966, 66928774], [91860067, 39572079], [7728955, 4329587], [5121032, 8646267], [73537997, 84727753], [66868150, 51287429], [23202450, 12503780], [1828230, 9684078], [62828766, 71540798], [32077646, 82040619], [37807858, 42765283], [40940420, 78274610], [62735052, 63722716], [15940251, 90267103], [34559992, 2108387], [35854194, 35794339], [14147360, 28807311], [99097236, 40658852], [58300071, 7950402], [65386754, 9445909], [77796576, 55120927], [35541678, 88610840], [12942131, 31595696], [80216361, 92608666], [70089140, 61850632], [78680392, 63572054], [17955846, 51679646], [59488353, 89930732], [14911251, 87705142], [71299909, 41159494], [26271074, 66591202], [70207063, 58984407], [12935215, 5951605], [24588200, 51842607], [9474656, 4651358], [49583040, 70829536], [15905765, 27726121], [35173762, 49297160], [49743725, 15093804], [91140969, 68454960], [95494161, 82435212], [65679104, 44783892], [41369729, 92813509], [71618513, 67262221], [81876753, 69291347], [77117354, 11849562], [23998861, 38136861], [4116336, 31111749], [63808424, 356395], [36633114, 12319310], [34623152, 78126381], [89319925, 68123124], [50883422, 49111556], [89387435, 72217820], [33876135, 30863131], [38577279, 65030679], [74384270, 43919941], [87955705, 23351865], [99274400, 92942247], [1110772, 54016382], [85083822, 11198971], [85453268, 28597337], [30698961, 86105320], [4828296, 44967896], [99808033, 23914791], [35469826, 1660046], [92460838, 13434673], [91890443, 94431547], [55084261, 36720433], [5141851, 97900539], [4395692, 58696003], [55810246, 70091795], [24774537, 17864420], [95502787, 62439505], [45613706, 11067838], [3288475, 35416478], [65588694, 25579806], [6558757, 97740364], [95204700, 70473490], [91744037, 47264872], [66991321, 75439003], [56038623, 73940794], [52637645, 66221313], [67590393, 85548984], [63066927, 75065317], [14309467, 51188834], [83676325, 99458245], [98061538, 73984809], [76660225, 18453273], [46243022, 35645229], [37567223, 67148926], [35431129, 33575428], [74039601, 71494478], [25430523, 67013942], [5766212, 74541582], [91292390, 30803581], [22651877, 50811131], [20938577, 54529729], [27187667, 45566425], [69562371, 64778334], [81395224, 81500761], [20515770, 61810453], [83848436, 60095369], [92384172, 48104237], [86042045, 60192148], [51809905, 6637624], [56542481, 47350993], [16193950, 91514478], [64215363, 58536907], [58639310, 78420616], [36958093, 93408327], [54414117, 73923785], [47807361, 17242445], [2182538, 44000314], [90020530, 17631140], [83176852, 89080885], [9573828, 32937783], [35759944, 28252464], [28953706, 87082056], [19024949, 19115442], [7891365, 19606601], [28498330, 77350075], [57278845, 7324445], [88985418, 67454739], [90559, 15252822], [38723301, 20067366], [17783400, 43039767], [15979649, 18426589], [52938986, 67925971], [42960161, 82901104], [9506730, 30183781], [46738379, 80566200], [98926636, 86710042], [95640236, 41382637], [67336803, 94527124], [65706082, 24068234], [19347158, 333849], [73808550, 43628064], [39158638, 24637964], [31557653, 41678171], [54084791, 35064633], [99160201, 86172473], [50282640, 99905504], [68028080, 15188249], [98260509, 59186854], [3290655, 72152762], [54096991, 19791788], [32717052, 14211794], [28960304, 78060415], [75258643, 21045075], [95414419, 73100614], [24646032, 96107218], [81546825, 47710423], [82779297, 15112292], [64897744, 81443507], [28272852, 47949466], [36719964, 23854545], [55714846, 30872609], [38223691, 71743827], [87369448, 59773973], [32935823, 34624589], [30418642, 78999070], [40364463, 88499884], [53426847, 23380632], [84005521, 69891543], [40311571, 29260491], [64649085, 1341260], [13395774, 39865479], [31741701, 56455525], [44749960, 79273232], [95386348, 97415563], [22778235, 31859144], [88801282, 15995234], [85900211, 35205494], [65845205, 56281682], [9033227, 20114612], [21578871, 4754531], [3530017, 33705160], [26690235, 57818719], [33092900, 80403307], [1450263, 76648442], [10017944, 5575286], [28766501, 53359116], [63314060, 3107946], [60882913, 9958320], [67577628, 16231397], [83473212, 13409757], [65598856, 10185407], [30367790, 16396903], [16629791, 53154614], [63794575, 73779341], [77988366, 96398308], [81785096, 72356150], [39308800, 71509781], [92198709, 46195705], [92616283, 44302262], [93841840, 86192813], [6872169, 89916792], [79432259, 34910814], [69276389, 14960414], [19026990, 77359280], [29816062, 79514483], [4655436, 35043949], [49715840, 39594156], [86473505, 21633922], [71813499, 82136087], [34321869, 63146261], [31640739, 59605886], [32753172, 88662982], [79290093, 36091911], [53120209, 19366902], [7094586, 12326864], [93996209, 68255698], [33970928, 64835839], [34052090, 83709287], [58918446, 58791189], [44687627, 15350078], [85842510, 3451049], [51283117, 18706172], [80563822, 72623235], [44220495, 69315297], [61195987, 1815289], [97953107, 13235050], [12151905, 1720019], [31594213, 58738457], [75086144, 69435389], [98395657, 14731184], [70260608, 88651443], [9024562, 36999366], [51334781, 20518157], [95211664, 5706423], [85136341, 42601207], [26001616, 5757895], [17910337, 65543316], [51256135, 83945793], [10167623, 118942], [69561480, 39290261], [9041658, 51542228], [6463529, 41931926], [21261542, 8798351], [43468217, 87102395], [87055226, 7981675], [50693641, 3213248], [64791963, 24291314], [94359391, 31611475], [66467978, 43486406], [18537318, 13648779], [28975000, 22300968], [42092705, 77928266], [91457154, 4725649], [2415958, 30886467], [49203855, 34432666], [68773739, 99537334], [57012870, 63746548], [88392027, 48003982], [36550300, 29089637], [87973340, 51991478], [80913355, 7843141], [35136122, 91819648], [83106302, 1415044], [43092077, 41177668], [5864428, 60545814], [14999087, 60107170], [1220115, 25846196], [99681097, 58166724], [49222482, 41502350], [20734912, 82940539], [97419042, 72953096], [81670238, 11716479], [65077595, 74610290], [90336656, 60976018], [45468796, 30692444], [85588487, 42814849], [66084788, 81019634], [13503244, 15171882], [29375576, 94930782], [17277929, 41130353], [14811834, 23314915], [95403390, 69231734], [46401700, 9801136], [73488362, 72360269], [78902680, 5182872], [77002074, 74582101], [50901324, 19820739], [25470131, 37126919], [46251450, 5649926], [33266305, 77064756], [34649966, 52738212], [52617507, 17353182], [21083020, 18868349], [23874529, 57361070], [86293881, 57961353], [48787461, 59742745], [86021393, 97900885], [11716015, 9068298], [88484071, 58840893], [58491450, 18017209], [94106093, 62331671], [24652496, 36455778], [63831304, 9008492], [36160921, 34906800], [7344710, 59567565], [45615838, 24138739], [72605314, 74545495], [99058365, 47430700], [46036019, 75371169], [74904260, 32752519], [27830650, 46017995], [20786660, 85061838], [7241687, 82988236], [68095871, 3705612], [57592659, 57205557], [78984951, 12255578], [60977062, 39881934], [32002143, 74412298], [84530982, 33796526], [71050107, 23556814], [44793655, 28033998], [57108421, 46533634], [29035012, 69567427], [76088477, 24477790], [10306461, 1498708], [67675899, 35685087], [93483202, 2332409], [41592652, 7095527], [55474920, 2571503], [96100196, 92649777], [65265736, 54135465], [31544071, 82852350], [7525820, 1909540], [71796157, 45788364], [63443658, 75936635], [1545065, 89333198], [35897056, 82248398], [11034510, 80594586], [33184784, 60439175], [86101696, 60483577], [65576751, 41263105], [67587282, 41241672], [140840, 98736813], [29462941, 91429411], [15683188, 4280785], [81581351, 64500387], [17216580, 57690009], [40068568, 90751380], [13182774, 40119256], [52890022, 61858497], [19621327, 99807741], [94751066, 18766654], [33791620, 46822367], [80822481, 75519185], [49740886, 40575377], [34055909, 86755334], [24929522, 55568085], [17684346, 52913371], [92687524, 78478985], [54272734, 37326224], [97749456, 85177691], [73134667, 72812939], [55424892, 9349669], [93431749, 86264305], [55572653, 3137948], [32107781, 67686592], [14125163, 29068562], [21077164, 79880225], [76965922, 96092827], [25542677, 90524397], [97703537, 85504140], [93396516, 86088426], [66275510, 72864534], [8015423, 1726010], [7825575, 82242227], [20528327, 22805516], [70635229, 37098051], [14930365, 50660917], [55528636, 7992482], [51361616, 67192604], [30860935, 99964759], [32718308, 3274231], [75443250, 89134552], [89392268, 55256347], [16300901, 18799370], [73818290, 71261414], [18525329, 34222086], [2250079, 76869602], [80537946, 41542838], [71542123, 50129818], [49203344, 88153427], [23294411, 50687348], [92678728, 19959246], [49728819, 3725543], [24276110, 25473228], [85155115, 7672690], [30780326, 33923304], [48852411, 26555576], [45114163, 81810793], [30812983, 54820007], [52362770, 84556193], [90339617, 49847435], [1014090, 16316735], [79001155, 48463220], [53531463, 28972915], [76248608, 70166109], [45711354, 51259435], [66896699, 28062110], [46080080, 8997638], [12555408, 40227678], [74206050, 19446935], [64396792, 87300094], [60986563, 21327331], [44342419, 70935917], [41928644, 9619328], [38645434, 22288837], [94932961, 80356029], [60618017, 40022409], [92083852, 45996122], [30723563, 95866214], [37070323, 213594], [28884924, 8843409], [12297526, 34871390], [71960176, 69694117], [57042678, 11519219], [12380862, 32376616], [44641913, 44316418], [95275194, 725042], [80242492, 86782567], [27315283, 57705798], [1539426, 85527147], [84370359, 5752823], [85616612, 32999939], [56785144, 95194246], [88124169, 79877234], [46444617, 67736081], [71710151, 8676178], [68143374, 21560441], [60585528, 82478218], [40691533, 22406175], [94820505, 85117993], [21657511, 25145977], [41932038, 89455440], [62847549, 65287250], [83486703, 66302916], [77567033, 57159834], [43845106, 98776501], [70121928, 40977117], [86746329, 81286467], [83783816, 5385942], [43976500, 57362581], [34728901, 89062934], [26072971, 28898159], [78435019, 86087430], [62364584, 64729043], [712477, 70138052], [19503915, 4806450], [29345814, 83546360], [36777857, 48008564], [73152735, 32499671], [91721708, 17616454], [98719580, 26690637], [62927582, 19767085], [94952003, 44250547], [78767465, 96378229], [3319006, 50385347], [80671672, 89034845], [59040541, 21286152], [33252791, 70601192], [26664301, 46637643], [81488595, 35441369], [97645682, 28651300], [43753032, 7016483], [55555509, 69967598], [73195701, 97985963], [10919889, 40691018], [2548936, 40048241], [20296445, 44471515], [45359254, 32236609], [11317792, 30373523], [68924044, 27759703], [66229218, 71801072], [20862640, 49771460], [82074200, 2238152], [44339121, 85021055], [57860358, 2076053], [48356017, 69593443], [71300608, 7388772], [85386117, 96857293], [2159846, 59129098], [41372164, 81853087], [54322223, 72954065], [90622167, 48148137], [86923090, 15516398], [62928322, 27487578], [90168413, 45220076], [75391390, 24638280], [62983220, 57434707], [9674228, 98321087], [49854391, 21375485], [63435848, 62563498], [90318346, 24562110], [41256225, 49032773], [85427559, 48311382], [72035718, 45985763], [97047657, 59690824], [18027805, 34310642], [82758416, 17507849], [66538698, 35029052], [67081872, 68116676], [28762975, 1584136], [70493956, 85416150], [63975624, 41700875], [85376604, 92471952], [31117619, 8710291], [66975083, 17944089], [65398853, 43471629], [18443881, 17422596], [68932598, 13965440], [85968654, 43607736], [91763795, 27976157], [63486397, 26096377], [92198858, 61112679], [2920008, 79162333], [26507522, 63835756], [45056342, 5574977], [83025636, 63770541], [82221987, 90054270], [79680869, 36420516], [17541513, 26396402], [89018329, 82183929], [47710267, 87761103], [228334, 58510262], [153603, 15300401], [61060997, 2357563], [8305051, 1329835], [81772291, 85445058], [74799431, 55319275], [6481203, 49487913], [78571828, 91037705], [67189953, 28385774], [24959135, 1387020], [12822367, 60373211], [59239647, 76172070], [89709527, 70202049], [79252, 55323796], [40823859, 40804358], [57859166, 66884316], [42121918, 94480237], [68770357, 17801922], [8582711, 69327110], [12787504, 46324332], [38308602, 11696633], [13935422, 98809490], [28353929, 8124035], [5357810, 83645084], [15556742, 3716170], [75426383, 4415990], [60850157, 65918256], [5732177, 3859395], [6018916, 38725890], [15782401, 18215338], [23977400, 19335429], [4304421, 27313296], [58568295, 34818475], [61057511, 60601315], [32378468, 34200492], [46175428, 62609526], [13898546, 88773267], [80329252, 18793220], [71186826, 5539261], [85193575, 78329152], [19499982, 52012771], [31029835, 28111589], [99791450, 82774195], [23734329, 81612336], [30256504, 14320449], [86345783, 88202028], [82758666, 25389147], [60877198, 84580723], [48789972, 99307670], [68205368, 93574484], [66051781, 91539566], [94994346, 17660618], [24071101, 92682451], [76079558, 59337348], [65046198, 74502772], [36393526, 29995877], [44864143, 61719013], [17065776, 26042163], [85242666, 14542166], [87725911, 89846537], [26228602, 38737604], [33703287, 17637529], [45679665, 61271392], [28441465, 51029299], [45604798, 21516089], [50349979, 29905237], [13024078, 9741394], [83881366, 35885621], [31087857, 46380399], [39096985, 10464353], [32465634, 26512082], [97399034, 14354007], [70151486, 48820944], [40012983, 14626371], [2690434, 76751662], [53379722, 18349573], [95883507, 26592233], [28262650, 80695769], [30040551, 48194067], [41013452, 86484631], [6371088, 49862001], [95332258, 33014559], [47181861, 39631027], [46356424, 68181292], [84586023, 4850572], [71399604, 1015117], [13638577, 77519217], [99877541, 46826777], [61197928, 98786552], [81039210, 16739306], [91144260, 52181637], [82636807, 69153858], [40974485, 41362785], [53555448, 39975931], [71566174, 24667659], [43239767, 90144384], [18421621, 97572474], [58676934, 33037787], [49568019, 81359544], [67956647, 57984859], [91080183, 67746040], [30244365, 73426645], [90455173, 76439664], [97280649, 6820846], [43204409, 76908401], [51123383, 34508268], [21803750, 63910316], [12609162, 16466638], [79699251, 45882310], [13577743, 86290988], [73192308, 12155167], [76984573, 79012654], [66015841, 83207594], [35519710, 23065786], [30229443, 77847652], [5787326, 62462035], [68676743, 12075824], [6367963, 48412229], [56375976, 82289628], [25970538, 93770465], [99552151, 98034212], [82544019, 16032842], [11051913, 57299147], [63995962, 82888907], [28655036, 92273448], [9110946, 79544615], [67678107, 59399346], [31795226, 81831469], [81951401, 16796896], [41456071, 20990930], [92863410, 34678973], [36241899, 68183907], [24282114, 54469431], [79655257, 57781488], [4434129, 32031385], [34865182, 89223614], [64007367, 65775445], [97691544, 54829813], [77176117, 52223589], [41175569, 55525066], [77565647, 89923305], [84770948, 85817154], [60821504, 67194460], [91452165, 12333333], [587023, 39889029], [88098394, 82586472], [93116660, 14473324], [98619811, 35824697], [82498845, 52420920], [75213018, 45035067], [1923927, 66268144], [75924090, 28820763], [84359311, 18465324], [96363910, 2720241], [18814850, 55684213], [84528493, 70095228], [73515335, 6195939], [18713613, 70322202], [91436500, 66920130], [78549076, 92663390], [8610278, 74270944], [85875504, 59191573], [16993211, 33775707], [40615483, 58337204], [18726627, 43554511], [62561739, 47107135], [55773876, 83721491], [62456187, 97680502], [97532808, 29211981], [76437434, 31533421], [10582460, 43943830], [98694302, 50969930], [10620448, 17434854], [19775792, 99650871], [15181729, 95015998], [27400295, 69210701], [8370558, 6374883], [66548356, 18050963], [65558661, 17513658], [42113356, 7927977], [75631076, 81343862], [47582699, 10524], [28679687, 55942315], [32626248, 81625178], [82768390, 72079066], [4219431, 75713813], [39700935, 87836566], [65789769, 70623637], [50265810, 14086323], [90598825, 68182057], [79762706, 93674926], [70850086, 83414171], [65689150, 39934361], [89042774, 96195556], [27614867, 18510081], [82055322, 50178366], [28463316, 11728366], [50585694, 32395782], [69184863, 78825961], [35859058, 39788097], [19209818, 26391227], [71180429, 28141641], [72821655, 12347277], [61068085, 23918272], [68538125, 87359965], [13006162, 69433988], [43436893, 30424246], [82521423, 10377942], [28637895, 99112347], [74381959, 84159534], [33712640, 4774997], [36494649, 54316567], [5633262, 76922385], [70386205, 76730029], [67771376, 81267187], [34139669, 10028487], [82897662, 26654641], [98853699, 88787476], [78780060, 81960639], [40224039, 17799871], [39741917, 99152645], [42802630, 97300197], [69814466, 36014090], [99065088, 65407184], [86022008, 31014982], [65920898, 54902595], [56468107, 14015465], [94242079, 25545603], [70787928, 63305575], [13905196, 9562241], [91684403, 24374888], [88459797, 29973204], [16327627, 60681879], [82151401, 32836173], [62333917, 6400418], [59617052, 38123692], [24825942, 42452547], [88313287, 24373140], [39464545, 72782516], [72001613, 11616407], [12634474, 98572911], [83057271, 21583080], [50889654, 94683476], [37555670, 65977594], [40846184, 7709910], [34244370, 49623470], [91082888, 90019351], [23754866, 47196961], [55591751, 42675734], [12598557, 64565992], [63732287, 19546136], [44402720, 47663235], [67735569, 14258073], [44592524, 95014135], [3582148, 80241789], [69205127, 84537220], [56715225, 85872668], [28072384, 53921077], [84004518, 22667673], [56593186, 10076108], [1277603, 88349061], [24189167, 93807912], [66629404, 14017368], [13996434, 85996303], [10458292, 21165795], [95411271, 41962639], [39592332, 10258370], [59823340, 15928904], [4319969, 43520031], [28217319, 4546172], [54269213, 82325300], [55890485, 3164075], [60139535, 39474010], [8040419, 64030491], [35519670, 16227687], [79593549, 8458345], [81548819, 3916767], [61192231, 12586138], [36285876, 61865195], [94942538, 46562786], [96211892, 3348940], [68575618, 26887615], [35912881, 23635796], [55613216, 37894534], [27668564, 60045714], [17911708, 86289400], [74216510, 63191698], [95482185, 35031201], [41717867, 32384884], [14454521, 38956092], [17997134, 52436398], [82270676, 10323883], [52675268, 43880636], [95307733, 69710729], [80039749, 60182829], [56368572, 30476250], [12978688, 62132027], [31199039, 49194107], [45247464, 20397641], [81466842, 54756569], [43025162, 37533211], [74271031, 52702440], [44286225, 75268646], [73318571, 88065059], [5724673, 4792596], [50765702, 48524320], [63663851, 30637443], [4378133, 49750461], [27061983, 73969468], [43879261, 79606021], [93705296, 8711574], [30248690, 88545556], [13173415, 93721074], [26832489, 14085079], [45676531, 9524434], [12486945, 3402015], [18366779, 49642683], [45239947, 61788719], [15239559, 32789964], [61381473, 49216143], [15870488, 45392721], [75658600, 65349320], [56540563, 1338840], [12588519, 25430535], [43258253, 50880221], [86406185, 49023933], [1812145, 72192645], [60215942, 63129943], [65099660, 42608153], [5480289, 30386233], [92501200, 11437688], [90387405, 24062660], [29343469, 48961170], [21725604, 83592085], [46035062, 5384391], [54916810, 22173253], [92417728, 41216977], [52543648, 89762122], [29035898, 83420919], [96852231, 26033993], [11852893, 66214166], [7122411, 62135257], [24342694, 33496897], [61770375, 69702849], [89280857, 97353249], [22823603, 25081074], [76655831, 5044305], [6942061, 95431017], [38414794, 31941665], [31004127, 21062429], [88051940, 75156839], [191520, 44325065], [50900457, 4741752], [1155690, 44460009], [11746717, 97531287], [4757900, 43317829], [4577908, 5575113], [23628884, 70550644], [10857611, 82382402], [48538418, 53062933], [20327784, 68385716], [57529601, 36100420], [19897079, 9263542], [78269150, 45412733], [9489174, 42972272], [73681636, 98714114], [43357890, 94032805], [51973184, 85723911], [64901181, 8408719], [9334396, 6476165], [85584491, 40850537], [47071291, 81270007], [28374000, 2042948], [67802180, 8592658], [16125584, 13715076], [43813362, 68988417], [84621252, 54115278], [60155573, 56583239], [46310987, 7292685], [12155195, 74323728], [28217661, 91562024], [46710176, 23336735], [13244727, 97299056], [28862435, 58956992], [53764953, 32147153], [5409595, 32976276], [66317189, 91514671], [18827957, 15326419], [81337628, 96325750], [81487200, 64963510], [27321599, 98285829], [83908999, 54213778], [74158613, 61194920], [22021189, 59201606], [88185511, 7529148], [59445106, 16086476], [68886686, 81224161], [49018644, 28105002], [19574780, 15143505], [77609791, 24309576], [76288764, 90618407], [17114116, 13828367], [85389553, 13793184], [41673683, 67672841], [89078878, 60000710], [20118372, 81031741], [28090130, 77268676], [3145737, 73169120], [11361758, 15695820], [49833109, 32231241], [6408892, 92826546], [45787840, 47202630], [32966746, 48538000], [70760134, 32034555], [2807678, 19281315], [54811243, 68469630], [34536448, 93288170], [41839452, 54914809], [60979262, 92366888], [27350092, 3092156], [13345566, 54937319], [56853844, 28134884], [600925, 96701240], [65394163, 33439122], [52600837, 91055585], [11965379, 80354943], [45276992, 86019823], [25696079, 30003344], [51716627, 65781537], [84168371, 47935937], [83320199, 6571750], [14561775, 56933872], [28526634, 63027726], [92652401, 18743437], [43875919, 3588666], [30616547, 25299729], [85012816, 86639196], [11799149, 19358899], [5976495, 89688172], [70894314, 33710829], [13320123, 2801180], [50081948, 58555033], [77094979, 6974168], [19593150, 36931969], [20317687, 85511953], [8781316, 28562127], [11242583, 58208154], [54690704, 61619053], [21857775, 15280903], [39841280, 98699431], [41449404, 87792096], [59507228, 68786766], [84234381, 11751869], [28391639, 24221699], [64263425, 90644883], [30151898, 22937738], [89523718, 24098793], [65860658, 65284771], [46836347, 42909335], [20478449, 73815838], [26301772, 32934371], [90478811, 13849584], [83061441, 94721444], [62100012, 71153368], [48110005, 40879239], [50489290, 18617518], [15138804, 93476940], [66666074, 77489213], [97666316, 26037143], [59733075, 69055952], [1260823, 63404558], [13986339, 69059268], [18078627, 20703777], [59833361, 21154047], [33671488, 72216097], [41613463, 51396861], [80952349, 52503663], [58272258, 5433562], [74392728, 31077609], [55437435, 46575682], [83513168, 7490636], [55521109, 76402845], [526519, 59646281], [89805443, 18254609], [46540813, 90560468], [98217081, 76635698], [13153989, 19704508], [74690757, 19354877], [95873296, 29714164], [10125797, 40979567], [6670493, 87927375], [75021878, 54583444], [34793505, 2860456], [83969173, 90292187], [30305847, 46287360], [87373958, 14901492], [4891502, 89318753], [69770656, 66559087], [3296758, 41818206], [78601795, 26803077], [88147, 42286585], [95002720, 5437190], [30837068, 80451547], [49342657, 26480168], [61183059, 14972430], [61582105, 84691164], [47085859, 17757473], [89411255, 98598462], [56185886, 78899452], [89187907, 67651459], [15214393, 67827930], [56306762, 8878793], [6437361, 94128852], [19757572, 76030331], [59441563, 63374883], [63592800, 62627419], [27351157, 90300585], [37336439, 79174837], [46128167, 13621096], [9350193, 25749565], [61782942, 98479384], [33992195, 38044586], [90220191, 66297624], [6962011, 6659402], [84387660, 55760144], [10372729, 45634931], [12289884, 31986858], [74846757, 67358748], [82839921, 54274918], [3879795, 61695474], [18706232, 78370617], [66087529, 34714904], [98815956, 75472655], [85819393, 68085887], [14230694, 75940551], [48375015, 37155989], [63655154, 16418017], [79434031, 81934971], [91384641, 41663676], [79063028, 82838482], [85986238, 28419221], [4462489, 89793813], [66661497, 56621279], [80778154, 2978810], [85520585, 86375024], [11851003, 63561855], [66469316, 31034266], [2070451, 51807282], [90912403, 3194392], [69272041, 94441459], [77932883, 78714327], [40146320, 20990829], [5036679, 88966132], [43181093, 56798757], [99843371, 65774220], [41287863, 25284707], [16048749, 490532], [79810689, 58539464], [1374611, 69463275], [96582093, 76738976], [89785942, 11782553], [50677430, 18754411], [23445181, 78579945], [25779882, 8615901], [99625302, 55094628], [72794446, 54734714], [25803160, 21433558], [16328687, 7684778], [76860316, 40218156], [75482768, 74954125], [44225233, 59299907], [67203797, 4604708], [31636971, 62348045], [72109296, 63025476], [25587665, 37470360], [49632971, 64529833], [23760747, 86108457], [1652027, 64317438], [41931433, 4742482], [41523882, 20751733], [62680331, 29303099], [75179809, 55267344], [3668344, 61771400], [55346008, 65037295], [19652708, 53378268], [67372557, 45679208], [98893612, 72345601], [57247062, 69947117], [71334112, 95104989], [87619557, 26970111], [49192025, 1900143], [25542337, 99551023], [35084950, 80382085], [84709809, 14159506], [67552995, 72238099], [26725134, 79577100], [90659806, 38242220], [21807560, 59378201], [53966737, 96311441], [29581394, 83793047], [41152342, 12719208], [42567981, 95514559], [7344285, 14430168], [43510063, 84721871], [28426720, 691869], [43238484, 35502333], [70580382, 15802736], [17067573, 44121544], [34287412, 13310345], [4679657, 66854449], [70273157, 9473147], [94181624, 97412356], [49108450, 5951482], [69967172, 51910946], [82289411, 14811809], [95740528, 13409304], [35601426, 67699258], [93282679, 75106092], [18712263, 98075116], [18062985, 77366907], [76483310, 24982564], [22454043, 42755911], [18925902, 15416437], [63512891, 22667186], [92582357, 6651680], [1353208, 19754291], [85302573, 6779601], [40002377, 29742863], [54131180, 95629058], [24631259, 49983224], [3703995, 53926743], [54841512, 18230149], [81370457, 35053903], [47157765, 31652557], [82780227, 35128346], [1757478, 25230579], [93267515, 2132073], [94319218, 95724520], [12315513, 41362720], [87363164, 27675144], [94743072, 83604865], [24151119, 47754105], [5887652, 40480756], [49324740, 73346066], [18641970, 80729963], [92075877, 69025196], [5091037, 71186368], [93673933, 7159895], [63161612, 67644948], [62082857, 16981996], [115103, 10658731], [30900858, 64003149], [93623178, 1239921], [8616748, 2302038], [66342571, 15762316], [31253909, 88286107], [94862787, 20969143], [7781230, 49495092], [7678170, 69956886], [1474358, 39954846], [38204328, 23489450], [81773404, 80168758], [56739128, 19288732], [94728397, 75757506], [18197379, 66761491], [20877722, 21577366], [83418015, 55621963], [20683956, 10792207], [15562756, 8945691], [85175997, 62555342], [21520538, 43953944], [72162352, 52692852], [4402810, 85431013], [31050483, 44535228], [50587519, 4148257], [85417272, 98267524], [81359603, 90232002], [35576688, 85798860], [39710343, 45792266], [79769610, 26619211], [24991733, 94441502], [16514409, 53072682], [66750767, 35508113], [25290057, 28869842], [15367382, 47492947], [65904929, 65261609], [27935803, 23477318], [8026484, 39369509], [71220395, 78266810], [6737511, 81025743], [19909011, 10142190], [937451, 66289176], [47808416, 74550665], [99707546, 41726034], [65847182, 79023584], [64478906, 81705445], [41426786, 70664738], [18932678, 58324102], [29968998, 82344438], [20455359, 71150401], [2315988, 8942701], [56769999, 66385905], [29380830, 37507902], [39522666, 90360648], [85341804, 26128613], [63805263, 53870962], [36150727, 7984486], [24995910, 85103668], [72319706, 20286590], [42300226, 23261745], [83816170, 19305788], [36837003, 91704412], [21185502, 57965360], [11643002, 56908610], [85971687, 18428095], [40121980, 41093027], [1384741, 32294272], [88764019, 75672375], [44375512, 14043064], [11776202, 41598747], [95900835, 11434148], [22724510, 84140690], [92298751, 96368590], [31934167, 30084284], [809373, 40232975], [25282560, 73322675], [12135003, 71368651], [46954427, 34429330], [90086044, 55271881], [97830031, 75420030], [66421516, 72683013], [24901423, 63680845], [80330255, 96585585], [27548546, 95791110], [42281593, 19567321], [23704777, 86541930], [71922564, 87672873], [92579622, 12515490], [96221866, 63827435], [52552952, 68714550], [2081253, 26964894], [34596893, 70170001], [37811479, 17390190], [81170106, 74577600], [88272454, 73049667], [66760651, 43092821], [26607010, 6505560], [60872991, 93105654], [65316065, 68921608], [36543605, 40396781], [45635872, 85764757], [58392334, 16156760], [61395494, 79763407], [2842365, 70553837], [95368336, 84608386], [33311927, 24404602], [11459459, 86482869], [68759521, 14774397], [76547288, 49919140], [98141772, 39692312], [66137582, 89888928], [19589731, 80218869], [74268743, 41018296], [66456916, 58667579], [68352257, 56844659], [58982324, 16260712], [46563156, 61590867], [53775786, 50920438], [6196909, 87268779], [92377587, 23545850], [18259504, 74915847], [56553022, 56930038], [18185610, 64294789], [67212146, 76857668], [59147029, 28663383], [31648957, 38604843], [60950432, 99295278], [21369446, 5466506], [91321207, 46894685], [89389084, 59679126], [80967046, 16255505], [74705218, 83798610], [33122262, 85291037], [13569081, 58803744], [93063196, 17165874], [70042869, 93660639], [61453278, 96119996], [63255251, 8987315], [23880837, 23265621], [39654754, 94740420], [54439592, 82206329], [73481685, 70683394], [32942631, 85429278], [34699671, 53595530], [85393457, 33787138], [68767142, 27503428], [36108366, 56785513], [66588916, 84118566], [32905629, 20464265], [96256486, 61026816], [13734620, 72122315], [3858388, 77474715], [22339970, 9194360], [50109108, 73050228], [41474822, 97316879], [39105813, 45131843], [38377922, 70701222], [18115341, 44197146], [17943127, 6827749], [70667429, 34604040], [83057497, 96077509], [36392453, 61571505], [65013711, 7057788], [16039149, 21519425], [46505613, 67261767], [19650286, 88391329], [86349626, 20404483], [482672, 85138751], [23321574, 14481849], [19963671, 47497367], [6482893, 53698172], [7830192, 78962902], [75035463, 88821944], [80185706, 5714420], [98235389, 69017140], [84509796, 3731288], [5873390, 6323964], [17286911, 32476734], [24824518, 75825527], [73676462, 19500990], [83670626, 72988393], [37179338, 55213477], [86537187, 96475740], [13452937, 2987701], [95242564, 74317858], [29582561, 69098012], [15789752, 6035868], [82819302, 49272404], [95460248, 78528680], [67801005, 10149817], [93126528, 36219122], [70501379, 35695187], [66524957, 69943593], [39446581, 38285525], [71476640, 92112088], [78359454, 46348429], [86715130, 57817074], [72524802, 61430171], [8883728, 45126726], [11304598, 39757512], [6445962, 95900014], [30264634, 81085131], [7980488, 32139175], [26186222, 40399946], [5131184, 8769403], [5214482, 41273569], [46775055, 2084417], [50777240, 94977513], [2088252, 83897152], [26879573, 61953258], [9352097, 69207516], [31662094, 79011493], [62453222, 85826787], [12275281, 84132081], [28095081, 8006255], [49802431, 84816458], [4622551, 74725624], [53322369, 47690466], [61560332, 23804035], [66818330, 23791145], [54541582, 53838478], [61636818, 20285918], [40199496, 15097659], [18998280, 22001768], [22104557, 91158456], [3994649, 44969590], [32355435, 77284828], [44074524, 7116756], [54359545, 5767387], [69320694, 55958512], [54637745, 86357756], [12899912, 25461131], [29892791, 37918214], [6968427, 12429355], [25165015, 61868567], [88104111, 11367546], [40630102, 28258547], [27628614, 3603842], [21161345, 77962390], [39738734, 54264267], [75720311, 19667341], [28516841, 75700210], [4069174, 67543020], [55785271, 18062721], [39673027, 16466675], [73935204, 58990114], [61553217, 91026782], [92944923, 47121746], [75080121, 55472374], [72856902, 76386712], [69211320, 78835530], [33371247, 42010511], [75989010, 49586097], [68533757, 60005495], [8726874, 17433146], [16121995, 7109889], [18717375, 17557709], [14265021, 9895153], [32337782, 82230066], [99731704, 48343827], [82141916, 69863707], [27257978, 96353052], [88415269, 93554405], [44107566, 18103990], [45535330, 21081747], [76888504, 35546951], [79596760, 39803556], [79840757, 88899631], [78760881, 59349293], [5939498, 94275560], [19800056, 73818502], [54006696, 10634396], [45992630, 76589989], [74832029, 23247962], [74309103, 13773377], [46658434, 69710938], [5047113, 37786954], [37778163, 42377362], [89462790, 16047217], [88220651, 40770957], [14437121, 81839612], [94843459, 77773460], [71628237, 26790719], [84923186, 22012848], [1072860, 11620268], [94176527, 92873555], [83490147, 76947503], [4065559, 75559061], [60001739, 4242048], [28048123, 20321892], [13231937, 84505505], [35103985, 31640696], [7237611, 99911091], [31749062, 24899174], [69305175, 11043952], [44209488, 88796795], [19728634, 92736110], [29477360, 30979393], [97203081, 84023848], [76220594, 47613063], [34871565, 51314757], [7728890, 82209444], [47127722, 64574007], [78832542, 93430160], [70583563, 45102264], [93052923, 97434085], [85419223, 86086466], [24755688, 1963384], [99557068, 20414364], [75618525, 96866865], [30336005, 23855709], [38177708, 98828681], [57746650, 66597388], [74135529, 98554343], [16511324, 9162270], [74775555, 44523153], [45217885, 89939513], [97029368, 53848378], [30539759, 74225228], [95230730, 15032813], [94228000, 47877638], [31075812, 124506], [14492920, 99610160], [31069798, 65748355], [20070976, 53966965], [75062159, 10649713], [40125790, 9757720], [22736920, 57114170], [30291028, 68255219], [74189195, 21791968], [331125, 54669543], [90614176, 51351807], [91732725, 81849486], [87161295, 95483846], [47378244, 87195363], [60295086, 77446342], [38751647, 67908266], [30401858, 55379930], [30207621, 29384231], [21449590, 67627977], [46874004, 63448735], [19284748, 45599061], [2098309, 79603168], [82261376, 10164680], [66710246, 29393847], [77018817, 29220149], [40973707, 49113091], [45389595, 68001659], [27501282, 18658345], [48601618, 40095767], [51669493, 98813455], [84607201, 58393773], [26193846, 97634170], [22280512, 89727071], [91266959, 9243553], [63346470, 36196525], [2156276, 44336414], [81405928, 30292700], [43519803, 62253499], [39137408, 13858663], [19366693, 94724802], [49473731, 66781144], [67300745, 74930665], [52052121, 58378662], [22747210, 14265573], [90882403, 28030941], [66730780, 15963164], [47262897, 40201146], [40994163, 30784330], [7702678, 91905335], [81766133, 97901220], [46348651, 53237227], [42678582, 11680252], [99395300, 62123876], [95206423, 6480704], [32482979, 29330931], [93756068, 28942577], [23379701, 83918568], [90964200, 88303605], [45152294, 91733842], [94436800, 92452267], [11605476, 28343232], [63786275, 53533193], [54579552, 33945763], [98343858, 83860859], [57136472, 70088304], [99032548, 7839629], [32254318, 75297901], [3529715, 46323672], [65710242, 46347660], [90106556, 98783696], [59608650, 56857177], [8022310, 54758754], [37765068, 57320810], [76382534, 36268657], [19799726, 71094753], [6891188, 35249103], [70712135, 72422429], [44340803, 42582278], [92588183, 60028070], [78356498, 73338379], [1862737, 16791180], [99051148, 28407622], [42119287, 18801785], [38717169, 66079226], [4966475, 96008129], [86743633, 74243169], [95280618, 12440273], [68693587, 85795997], [24131113, 65633639], [46587669, 99796991], [21644851, 51495022], [61354297, 16708128], [8039206, 48719244], [27349375, 99452075], [56172003, 86880215], [95631016, 3542625], [43997336, 47714179], [78029860, 68044482], [11518985, 88186741], [34545244, 54468054], [87099065, 50867435], [61689286, 97014086], [51594950, 83996953], [85066299, 96948916], [728366, 7676159], [72333118, 59610764], [59035057, 50880841], [28910192, 37695268], [76649240, 73765320], [62735658, 55718308], [83325709, 54598108], [27946930, 15416589], [2320435, 9459341], [8398451, 86346890], [83855863, 25551381], [17959406, 60968893], [99285150, 1019717], [96354017, 74997415], [81306668, 19621801], [60590284, 19270289], [70934732, 53361977], [80618392, 95813522], [25933500, 81852991], [85531217, 63946444], [64513075, 50522080], [89664894, 61878312], [129419, 7043151], [81271866, 99068881], [49715310, 91496445], [73848034, 75649396], [46961639, 30209329], [21261695, 8910912], [24095311, 37521669], [57724996, 1850274], [78091840, 52262276], [29028831, 76874940], [50261623, 18107572], [21520151, 96046242], [47766042, 44268344], [84534461, 65378225], [85277070, 49327285], [14254536, 67593282], [64099081, 40567578], [66012407, 14569429], [53700944, 12514464], [99650296, 82694760], [53293684, 66570839], [69008786, 38674981], [11516742, 49955290], [93691907, 69127301], [95014738, 85458062], [64590896, 17242542], [39138050, 84820203], [79696280, 70884523], [94309412, 6860178], [58569252, 11476], [78719724, 40069220], [74500740, 21500950], [11637875, 63276370], [91994508, 79075430], [88919842, 40216810], [6643820, 42352777], [81268226, 2140832], [68621033, 57839078], [25515462, 14594676], [12941092, 8799805], [30692712, 47077070], [3338188, 9481496], [87009275, 52286460], [26903732, 64151133], [13105856, 62329547], [94521822, 12015489], [11568134, 54142574], [31219903, 49491106], [63581140, 41647187], [50955793, 45655507], [94578769, 72648236], [43094938, 1597361], [3501363, 84855295], [95796689, 20980247], [67306446, 20068176], [4591623, 85194773], [87182108, 31101495], [51736895, 88854476], [29082276, 66616535], [82923243, 21506870], [77027834, 72650385], [51783113, 57018621], [48071220, 9616802], [44674165, 57420909], [71034575, 7753613], [34908086, 44896110], [73626298, 97876208], [58079521, 60554623], [69141123, 69698946], [57443788, 98611540], [11981741, 58166923], [98897802, 20655317], [35628345, 57107633], [39281858, 80790702], [82298732, 43016443], [74352877, 71571346], [26836273, 44877744], [956527, 59455906], [62605275, 32972808], [35319200, 45139405], [50215660, 26572744], [17303617, 58308628], [25242673, 29849220], [50834376, 75917691], [32683581, 25232343], [19095784, 23018696], [27749703, 69681073], [77054650, 47744256], [92161083, 78149122], [83178050, 89411588], [57745740, 82064538], [52650756, 74312543], [23828457, 34047863], [16456524, 5138499], [49811944, 24075294], [28166279, 62801292], [12087318, 38249021], [14582381, 72220856], [61514644, 61340598], [11653116, 90979017], [43509964, 3639254], [93761885, 57877482], [6299820, 11639978], [54986130, 70825885], [10193540, 31305465], [55935111, 87090563], [56976672, 29246611], [53256668, 96580403], [70202344, 13212216], [20819392, 93800108], [34571256, 78656985], [3668907, 14197542], [67973966, 67988721], [29678171, 36217552], [79045648, 42132238], [77023413, 82737586], [70991732, 23617641], [37719427, 93626583], [54229080, 31059486], [96104485, 14469848], [64862047, 59571463], [97798152, 33163639], [26708183, 47241399], [50451711, 91590447], [877545, 68575745], [56093304, 26439795], [59398852, 3030532], [78423378, 65111233], [87015578, 20365374], [37113566, 76466242], [36042070, 70628364], [86517549, 91450981], [72099372, 66203032], [71239239, 18602311], [19164445, 21001726], [94470863, 88195801], [46861603, 53127683], [78067260, 99470657], [51912329, 51394741], [2261725, 67854120], [4462358, 56457459], [48608534, 13491879], [65182226, 49655697], [22643567, 49498645], [89617056, 85906187], [10845418, 22792436], [63727743, 89882815], [85281621, 79829987], [97264576, 13311044], [85341243, 59216895], [22533569, 81523109], [96904849, 10596866], [30249621, 68747395], [72448946, 86820628], [77022146, 76784175], [41787151, 85292683], [45769045, 49623029], [96133545, 25264643], [95363015, 13432743], [37373892, 61093803], [79623584, 77350232], [14078043, 42829537], [7755488, 83118844], [71789390, 14450662], [84545008, 46617584], [64692183, 10215780], [53882707, 7444171], [12513369, 68466509], [78855834, 80899329], [26428677, 37971803], [10983179, 45663564], [8397096, 25058618], [97465650, 27227743], [19314352, 6945369], [57808002, 82450979], [38231588, 91261785], [67851230, 98435982], [66112669, 49957863], [18887675, 48043553], [72119515, 39361443], [24256157, 97184437], [2859605, 17041893], [16901556, 9632434], [93538973, 94604043], [41527583, 44100998], [5514664, 95739517], [94812007, 5293614], [43016347, 2149309], [58893167, 63170633], [63796652, 94518880], [34177003, 70790248], [69380222, 25953658], [3011147, 81840487], [57648215, 84654670], [93433319, 28554473], [28010799, 51608953], [82611525, 84996847], [58358858, 41154958], [82921400, 77015648], [15668046, 64495085], [21161043, 77192483], [50865904, 12847324], [26030621, 65277441], [49080076, 57305800], [26219798, 27482504], [21470510, 42390429], [28530073, 94278709], [89117734, 13392121], [34348, 62578646], [33890267, 5520750], [25005594, 86579077], [43189434, 35945280], [34898565, 83715258], [14966523, 34878638], [75906546, 69434056], [41748884, 54716565], [24615246, 6616790], [57572123, 94542246], [14677644, 53185871], [97622939, 13008403], [45469142, 22614958], [27334828, 89580795], [54931862, 2973355], [23520900, 48059235], [69999333, 37927286], [728759, 18904101], [76930606, 37317973], [2261701, 57373548], [86339944, 36824797], [69301540, 386303], [72122434, 72472220], [12518504, 53389342], [298461, 25387728], [60473680, 29827704], [80404267, 71164390], [6047558, 58501600], [87070171, 18416876], [59186533, 25711660], [28500490, 63982981], [71877003, 2450622], [98443197, 91331650], [79392936, 60203497], [37355316, 14478230], [32591625, 42768496], [59247921, 28874659], [24603015, 4411355], [12644621, 76043833], [35941264, 45860414], [17324894, 17936070], [37013848, 88172344], [63313908, 79100343], [47569877, 47754171], [15997078, 1437184], [65744064, 836899], [27489398, 42011612], [11391509, 69593122], [13407327, 12898281], [99683714, 3740982], [51258771, 74886048], [67985984, 7304815], [84747373, 95036140], [54448180, 42914176], [56997789, 82221125], [91021283, 10151694], [80635166, 9878601], [56654591, 91431194], [56764665, 83602365], [56157012, 60790842], [926592, 16653796], [36086969, 14277001], [70988841, 99255668], [77605864, 68207669], [8514445, 60739414], [75638548, 7373503], [80540617, 47614807], [63750458, 45043640], [44108594, 59352983], [82629776, 1444051], [48882779, 95667898], [738425, 57641782], [13700885, 34368056], [75448332, 42206446], [93502932, 82368401], [38430954, 29122892], [12876250, 26586835], [33588261, 12766617], [56139863, 85142920], [88931021, 59307535], [72265606, 74606833], [2223426, 72688089], [34548665, 32030864], [42321191, 10213101], [15754132, 24684482], [77451818, 62987733], [48022663, 69423766], [78240812, 48668947], [26739957, 88166942], [2184515, 52907938], [71166028, 15843143], [40483659, 66302556], [25843602, 76450041], [56908345, 24940366], [16207307, 94342500], [6352427, 68292657], [53674292, 35572224], [90876182, 64758693], [34119928, 46112383], [73767040, 48954769], [7337251, 93645463], [38652473, 80720257], [15939097, 79428975], [43944483, 79744634], [47917745, 64500449], [32373718, 29819184], [26658721, 42263121], [70352682, 14669741], [55790199, 10495885], [77337332, 2342873], [77656066, 34814055], [93256514, 91655180], [82968611, 59974453], [14653364, 23894993], [51786951, 19426169], [94713343, 61631129], [4638343, 79670355], [69001658, 68990972], [9367085, 5606083], [64737054, 47482875], [24352050, 18925703], [48663216, 48567341], [21938107, 55156777], [69930541, 91824815], [80452042, 71125840], [69878674, 36014325], [38639600, 82656436], [68242409, 70974987], [66284573, 47954249], [12450974, 47239886], [67221905, 88953160], [49433365, 83149355], [11674738, 15357415], [31311942, 49474412], [33207606, 32246957], [98928814, 39337388], [26963161, 83816905], [20773827, 30979358], [24947480, 68960586], [87961550, 25282790], [31739438, 29590972], [41606269, 1630757], [39909941, 74525153], [45010171, 27896340], [3127676, 58384632], [86766175, 9240810], [79730480, 17186013], [93109719, 47874770], [27804343, 31556687], [54153804, 28699624], [6211133, 89730686], [45594643, 57589040], [73533631, 76548080], [24102716, 33356474], [59579994, 64971532], [4696449, 9856561], [9051668, 82715620], [89850037, 65617815], [82029119, 13207383], [56273091, 45177712], [89342251, 14392138], [6856986, 58690072], [13750067, 81088121], [29010976, 41904099], [48499462, 80282186], [89892272, 32433189], [24308756, 52910432], [95830756, 6309465], [64418567, 82813867], [71922176, 16000093], [88690885, 97330580], [34893259, 27249206], [13016189, 67253280], [14668875, 12569634], [25500445, 28298332], [45574262, 6222130], [86678927, 91005537], [47451931, 10881469], [10685694, 87020692], [37512403, 3704707], [9556729, 97924544], [85119441, 72206320], [12838522, 31494306], [52955728, 15965315], [40530108, 85972536], [1423968, 98395449], [17994823, 1026748], [48276435, 30487761], [40671920, 72876098], [6297569, 44939964], [99662740, 98285264], [88300623, 66077307], [42708974, 46984527], [26433580, 84786312], [77136406, 38948146], [39883992, 92343203], [69419306, 38904003], [91059895, 65738292], [85442992, 4638500], [17553683, 76665194], [5717565, 77612462], [36744748, 6792875], [73086888, 89727385], [5538553, 88625379], [39780090, 79726672], [97078903, 55736970], [66909140, 83821073], [34812179, 48285656], [47212246, 57167225], [62567171, 44439037], [97713950, 11196797], [72487893, 4336425], [7380840, 6365751], [84211116, 17839905], [91631469, 90436225], [35808521, 44696193], [36210648, 76889358], [91023407, 4018543], [65256212, 60589283], [74277101, 11966848], [27340250, 59858215], [18304993, 31903018], [14150197, 1745271], [54950130, 15606361], [83020702, 37639411], [79826088, 10896195], [4594105, 56541148], [81967409, 36827002], [54345907, 88862851], [61760053, 56678223], [9315203, 29005122], [59840852, 87671882], [56202241, 48457071], [10182982, 47086464], [96300506, 72540250], [73896961, 6938669], [90111599, 19968162], [16642357, 24313234], [32472676, 1602422], [95103485, 47228111], [87613270, 849814], [31657783, 64484915], [16963352, 66707046], [22223640, 60034434], [40782148, 54770458], [54930399, 30348475], [18337194, 58970554], [8548990, 38265273], [58096450, 14420987], [27969669, 90312038], [8722531, 41346957], [10417008, 63914840], [94115753, 1521577], [65731536, 36412153], [28038138, 22916799], [45604129, 41965534], [89231024, 88378842], [68081005, 64470878], [59503113, 66069108], [62640051, 73464293], [21569609, 40556982], [80920667, 56149642], [77875920, 57230272], [20943727, 6950260], [56592423, 83489578], [99827691, 16150500], [89005479, 15127974], [93664024, 45844459], [75386196, 31263989], [82047746, 68952516], [89124408, 19414995], [8535918, 95256109], [6320801, 9082029], [86418295, 21793856], [78755837, 11412675], [89343470, 85056306], [4988134, 38442449], [22280206, 93843386], [37884517, 24759233], [41286387, 55005691], [88034001, 83423207], [63524490, 45035901], [54969737, 21910419], [47634617, 90396499], [41174961, 86067095], [75809209, 69852520], [21776757, 92825405], [99024381, 71515278], [26740372, 17256892], [71159150, 23977752], [88140433, 19715900], [84472911, 18718455], [36005949, 97308165], [8737842, 36340729], [28717563, 45530942], [80378058, 44684027], [75753977, 58436951], [65558900, 34809769], [80410516, 17569895], [55574514, 32150363], [33442532, 70761151], [77315028, 57935835], [2399162, 39466430], [23040445, 44338882], [90470689, 18202146], [87219026, 99912843], [44306901, 91047625], [29317506, 88705459], [29876496, 43169274], [92810922, 38109120], [77118136, 51694836], [3532492, 91605974], [50652391, 67841362], [28175801, 68052437], [61866213, 10350723], [76836735, 8567456], [74594170, 76198151], [55841337, 70400741], [91834300, 35671147], [94241223, 25699301], [97673220, 6231350], [34127040, 91930857], [14359366, 81960412], [23543313, 385618], [21711362, 20700910], [41552806, 13083280], [39851473, 31552867], [74365840, 74205620], [85662013, 37580590], [57054437, 66807915], [11228390, 60676358], [45707473, 49696611], [45955273, 40915814], [62675091, 26416583], [75070516, 14555251], [94145129, 48250703], [68534294, 55421188], [48281473, 1870380], [94478998, 10413840], [1762863, 62030600], [22383596, 2534887], [43061914, 97982752], [80294866, 67363622], [96529905, 71119505], [54217282, 73712580], [41432659, 73849039], [15968339, 26173246], [75334548, 99387255], [31264694, 57768081], [99162595, 18132600], [85894605, 70990650], [35275497, 26798596], [41506505, 79718852], [86080683, 80683525], [4297538, 26043106], [65683930, 25711308], [48856033, 71126160], [15789509, 1235582], [60317943, 287368], [96772625, 96136245], [75915501, 73185728], [62778405, 72842006], [73276540, 42278498], [85091909, 16993983], [99421205, 31019913], [82094905, 62416028], [68026266, 45985769], [67847857, 65812840], [75342881, 47026088], [64159018, 51010671], [88937555, 84379162], [69667672, 27252303], [55618358, 11295801], [31934951, 8702039], [62106284, 83945382], [32305032, 42739131], [80848525, 87764643], [31573777, 47771399], [37534799, 46607431], [71980143, 56431059], [20507156, 17946125], [65391553, 94662567], [8016483, 5163721], [7834879, 79395086], [28352738, 63788324], [91648157, 3671515], [55632246, 30630533], [22461102, 77092905], [97110650, 42803641], [15412272, 14375078], [95923476, 8552613], [21093008, 15957027], [70072589, 71175692], [86216777, 95438626], [42525201, 16043710], [24450613, 28750610], [54278878, 68679678], [29689118, 20579119], [89360869, 7433954], [6635669, 21091497], [21023713, 71538427], [30106143, 70011188], [28302833, 7765366], [94504917, 57253475], [29896616, 45919862], [57266309, 73619011], [21222790, 207687], [83229692, 98563585], [95793168, 65530455], [63715584, 17711514], [89890312, 71355412], [92846281, 39601886], [42995014, 39923665], [17193779, 60352647], [75682823, 5484644], [52573342, 9211868], [80218408, 74447730], [59999870, 24561145], [69557432, 95445217], [54618428, 77386116], [7275262, 1537279], [65555902, 75205378], [64331050, 5223711], [3632721, 91190594], [4982072, 32466430], [69274958, 45168778], [77603274, 89827553], [2325959, 68167972], [35956990, 56196141], [61734526, 28605805], [26803511, 81719075], [45380736, 43164376], [30908271, 91606216], [9052345, 32204233], [32467742, 13215460], [11397697, 6844355], [17149550, 8624718], [64866787, 66447453], [99947077, 37250317], [63791080, 54898178], [49366707, 4633506], [17604890, 5991384], [96149700, 51733235], [52140146, 67325368], [36174633, 88108173], [73452646, 47808759], [37204355, 48733426], [71971213, 95413197], [64749601, 15508605], [84274915, 28333597], [34543053, 67087138], [76940937, 39920251], [80025189, 9718966], [67624472, 11336180], [32692636, 33154603], [32972631, 41082626], [48986950, 93254055], [64973883, 14057940], [30539066, 46926025], [45124667, 44902980], [77465863, 11095985], [32774075, 4996717], [83534912, 5590799], [13382937, 71759891], [55288723, 18020544], [10231453, 82110359], [84908889, 54517749], [45385404, 95122060], [76128807, 42495885], [33186411, 89666882], [2154291, 13298579], [89831400, 74663194], [77671072, 1245657], [60036413, 60357919], [35386979, 75463074], [53079261, 51798540], [43314109, 92616084], [33859321, 87800577], [85074207, 87232174], [86464973, 65683110], [67682913, 39575986], [41527845, 85484898], [97687801, 69461490], [74527351, 20030789], [6413121, 80897801], [9518867, 66652129], [19531834, 27069554], [36934473, 57751285], [6145170, 54630871], [57785410, 36771256], [9941073, 22636565], [35055354, 4474502], [59548207, 5871563], [17620225, 46441244], [81217055, 86263565], [53206984, 72160561], [42742156, 87539193], [37937674, 96980652], [39145060, 34769885], [15635074, 39074496], [17036097, 68793502], [21975015, 90570707], [13793879, 45990384], [32031326, 80282821], [98734629, 36782589], [82928345, 67921787], [30905422, 1523849], [26233296, 42201996], [59736763, 49754751], [59479485, 7694233], [28436114, 21564305], [75868707, 62879293], [16915626, 20144733], [49734835, 86905827], [44334893, 16229588], [44890834, 93554915], [48035991, 67526580], [65476297, 23506390], [38439256, 99278948], [30684791, 58810887], [9102186, 16061201], [78534296, 53232429], [40769747, 59174532], [43155410, 16818774], [21648141, 88560088], [16152094, 75260512], [95057494, 17861084], [51211068, 24664075], [464748, 43816348], [2400135, 74423134], [77839130, 73181670], [47502850, 33699503], [88142761, 48685029], [87263888, 8885270], [66159476, 73399973], [66861401, 33506715], [49089732, 52058965], [36342440, 25992273], [21042262, 48992811], [11273505, 22187175], [52720227, 78104803], [41394443, 17724496], [57660732, 11012605], [39800380, 4789243], [76040842, 62581564], [73184655, 11463172], [35128879, 37581048], [99813246, 26534634], [53669819, 21959306], [66530352, 67805455], [2227830, 15132380], [36109636, 81366597], [38303429, 4846335], [77348701, 28132729], [46432783, 16455164], [32631149, 95523684], [40516006, 24860458], [6337812, 11786463], [51629001, 99804804], [87572345, 6660135], [50178016, 8139577], [34214536, 49039332], [14187859, 79851818], [65502086, 64607167], [35021362, 15892870], [55856382, 37359515], [10197270, 47353951], [27075535, 10089314], [43739604, 17524272], [97845865, 84484702], [82675225, 90101749], [22384321, 27395990], [685895, 70724388], [89206998, 55176075], [36188892, 77799647], [14775547, 45364537], [28249918, 36677515], [68581673, 88220572], [27676096, 14125228], [60435175, 61601078], [88538508, 897239], [8969918, 17446275], [67783921, 11796598], [80215761, 16969832], [49104663, 16981519], [14967319, 16480250], [70724365, 8754431], [39395374, 73607810], [19794366, 69704692], [62738784, 56400710], [80587040, 52752600], [7598127, 11890040], [26439909, 87862191], [92502114, 9333048], [55601082, 35905045], [83794952, 39813319], [28249189, 26971068], [42294928, 18535469], [95575162, 94566778], [6639507, 10888429], [60015497, 20156251], [98444111, 803313], [8934059, 47620302], [14504745, 43522851], [5268622, 78694497], [26360439, 89036077], [23020365, 76376823], [3124763, 60262074], [62693193, 72203081], [60800032, 16743106], [22578566, 28164225], [86522331, 38525794], [39076102, 40664083], [54223544, 78126088], [19902289, 3395025], [67497488, 14654279], [71296646, 51006661], [56981357, 43915746], [32431648, 85706822], [9676683, 350074], [1275865, 5323660], [10833676, 8972664], [69664859, 55979597], [770188, 77287484], [82802396, 29362815], [52925285, 41543047], [58173736, 89498415], [86842522, 53092454], [11964986, 72431252], [86734373, 32318602], [57671815, 11922180], [67327773, 37513321], [94407612, 22279489], [11968884, 17224770], [70569575, 37679217], [44933159, 22076205], [58215364, 14008215], [70257328, 72679284], [11680422, 16320744], [33188452, 27568194], [22801744, 36010977], [95141922, 19786317], [74818469, 53184948], [6991, 94296103], [6682572, 23967290], [47671666, 42051146], [28402015, 71493415], [38747078, 81625736], [33102498, 49674061], [92950677, 56396404], [5478376, 71703969], [4731930, 18143464], [97545381, 16278273], [13271166, 5686882], [75567369, 38770974], [84756549, 60277011], [39388534, 84859677], [44862584, 2773981], [48980463, 55687798], [35737601, 32548919], [23963999, 99568041], [30820373, 18216890], [92780830, 79181402], [76216103, 5373485], [30721637, 26953282], [46820321, 52124753], [1999284, 41567069], [9155785, 86669861], [38192559, 32762282], [96625835, 36762817], [12713666, 5877698], [76627992, 67850862], [39879323, 65107302], [67158643, 67355730], [28086915, 91250430], [94854510, 31188933], [92656580, 49697835], [26398263, 54957826], [11520442, 43681630], [25816542, 15042108], [47246048, 59881937], [4954047, 48189191], [8394906, 43041643], [95427872, 74406998], [7620537, 55942525], [1889620, 67676222], [76564349, 31197599], [34971803, 46470806], [16815865, 43778250], [26960198, 20875619], [81731227, 36062295], [90504660, 73997034], [70431576, 17957078], [50732671, 60401137], [6919034, 64400731], [87700710, 76539445], [91472873, 20479833], [27618666, 86964232], [92214221, 60010051], [33567571, 98494389], [1178109, 37333642], [72791083, 74315470], [55100404, 20919503], [79889384, 42825195], [53927174, 27885090], [90923967, 42655425], [88835481, 36214099], [25623117, 30052624], [80181625, 52872369], [16136249, 85641559], [74072159, 23498252], [21711337, 95246173], [76667506, 53709611], [700008, 2321404], [64857961, 66692591], [99298294, 3603353], [38671310, 25590299], [94819600, 74995468], [80453665, 60724926], [62691646, 86988356], [27625807, 50895968], [34276562, 78381693], [81937998, 95266335], [77940882, 62193190], [62329834, 44310064], [51653952, 805786], [63334343, 70029066], [60862509, 52979611], [5876399, 98271954], [52603083, 6125632], [19762575, 52676248], [91624381, 31581104], [25095948, 2106519], [110934, 75239943], [69539956, 33156330], [38154624, 74008429], [40666502, 89229102], [85499422, 55629862], [3793539, 23102016], [49445184, 73003589], [24388769, 92466366], [58660504, 53952041], [83636380, 42587030], [3061307, 91280775], [73721872, 11692906], [49117787, 53460626], [54273645, 73578565], [82954676, 83400917], [95702661, 19584347], [88952880, 36972948], [70836516, 8593766], [17489545, 41263561], [5195935, 49549941], [49159107, 82982425], [66413838, 865687], [56552403, 81043035], [30564032, 22669151], [47103036, 29143669], [98498482, 47429610], [74077250, 87247829], [43696126, 81640250], [42487357, 60033422], [57744722, 44963327], [74720498, 45745348], [23072433, 57246743], [15791825, 34658681], [6048213, 8832946], [57593721, 72343557], [45515566, 21078587], [61172664, 78707185], [96337832, 18461974], [94907779, 6193529], [19871739, 93006336], [92634181, 17376416], [99530648, 22128304], [54181094, 38591879], [28393222, 77340274], [42361671, 17076047], [41417103, 79777358], [32095204, 96800617], [77090104, 59048356], [11042594, 13337452], [87061389, 41769436], [74599315, 85459050], [21892826, 54909669], [73056774, 41306326], [20843109, 96238608], [22275853, 70607931], [80883848, 44840192], [17724686, 34780602], [63321922, 50622421], [14295285, 27451066], [73179893, 87206569], [43171872, 20686228], [62789047, 84157591], [11629752, 93005126], [39270132, 8326879], [51544145, 21585535], [36171344, 614346], [42109837, 40011631], [39809644, 23263313], [763222, 16398844], [3626383, 93569096], [21582273, 60409690], [28738776, 9025362], [48891877, 87445985], [17933616, 23230332], [65963564, 17623770], [16915784, 13461008], [85875389, 36846698], [7413805, 93334316], [90593171, 91657523], [49319511, 72095419], [67447301, 25265416], [41769318, 40965826], [33541268, 40260455], [44791885, 60977912], [77823843, 71045301], [8909840, 78451016], [7870773, 66674548], [16058905, 17555921], [94460682, 10890526], [73902147, 61330251], [65243232, 1780280], [65249023, 89455991], [10183226, 12762480], [65337306, 33330430], [24691622, 93475776], [78768759, 27447124], [13821827, 9254672], [84544449, 37077084], [67784942, 46681386], [46716996, 42526758], [887014, 55355937], [49601140, 84835005], [5620117, 69011226], [60688441, 77777575], [57306682, 72866670], [43181973, 97763758], [28158145, 30875337], [21438068, 39069436], [36635123, 6716487], [85584783, 15322430], [96894684, 787639], [47061917, 4821568], [2952198, 94476912], [76833344, 48631274], [11930688, 28980045], [4507941, 89085790], [26741351, 88801211], [32421340, 99367808], [9524653, 96667], [52312987, 27176163], [89919157, 11765130], [24211702, 25389946], [48633027, 374458], [43751787, 45629836], [95597172, 45569785], [63812120, 71844651], [66942486, 99360993], [97134845, 90348212], [42241796, 3072127], [31262373, 26474092], [79536325, 54909958], [73849283, 11939576], [82211588, 97394034], [25230283, 72537228], [25026894, 78958877], [549438, 21893672], [28994802, 11081625], [22483036, 48962979], [70150568, 2487484], [64587718, 11722331], [95098171, 41607139], [1624615, 89668622], [78890926, 25349913], [69514657, 75337270], [29505571, 63100125], [2439793, 30670151], [92172793, 42213922], [4726737, 8062136], [77545617, 19835180], [54125894, 86399229], [48363419, 87197617], [60558872, 59838121], [89373581, 15097802], [5826744, 58277464], [33562387, 98216183], [19723605, 17706739], [69302831, 58796239], [74480774, 6883907], [51562775, 17972163], [46423039, 39191348], [8167662, 48312915], [7128478, 79686021], [74213997, 28255611], [51061100, 84434987], [2475761, 73151948], [76691465, 50969677], [16612305, 6684111], [46150246, 96006109], [13709666, 38430746], [43098414, 28815691], [86663554, 52541561], [45612380, 73060069], [14787848, 44214472], [10927114, 41463108], [16242746, 22051213], [90405773, 76817824], [10434927, 29683369], [51424937, 42995433], [28875326, 75675512], [62571476, 97768226], [66294117, 13605306], [66032273, 62264684], [91298434, 83110287], [80226838, 45305691], [1450560, 41198658], [84284083, 64899323], [6743248, 26624808], [23603289, 7880047], [28144301, 26748737], [27847059, 63446268], [44648408, 63942215], [73922022, 70942922], [99977241, 40082833], [23072916, 85664525], [38485174, 4286045], [53939042, 54195937], [16319231, 58577184], [71300563, 60381682], [90152341, 2167678], [22158312, 53804096], [83597845, 24988859], [69012953, 84346979], [2959539, 79906287], [54246172, 99997760], [94436745, 74710753], [93459777, 24328127], [89104008, 20587929], [90190776, 62382990], [22768741, 96448745], [76472059, 42121822], [39932100, 47673799], [8863387, 73053207], [44570766, 57736218], [119400, 57585617], [62066476, 26041787], [63793219, 84347145], [13710871, 99205072], [45372548, 39779899], [52380269, 51575209], [55148374, 22414403], [52130684, 29035082], [14973833, 25701923], [67322020, 83744069], [69412396, 27817501], [89001933, 17770031], [76103752, 36150351], [80085534, 37764536], [48104719, 49327181], [84200326, 913733], [8821281, 9351145], [60515296, 10897226], [85224625, 94619260], [19829970, 53532505], [47831099, 22865394], [42731914, 7332499], [92925262, 27846456], [50649966, 16438466], [58653856, 23710418], [25844732, 93132771], [60112673, 38295388], [68359496, 59962576], [19390770, 32453856], [4806514, 57328931], [59313388, 9983535], [82610025, 34725818], [28433271, 1377076], [19782465, 82372576], [72835425, 82404137], [750941, 30415924], [20124469, 34447758], [30482848, 17820354], [96040338, 59888726], [24732815, 23468557], [3628362, 86421354], [85541339, 79408210], [86920539, 99230781], [24440678, 23790228], [21950397, 1465511], [85829301, 47477877], [22193671, 47894183], [37390640, 59620365], [29022216, 17167675], [83739221, 42582566], [75467432, 52362681], [60841141, 80495711], [82337001, 49032709], [55064783, 65934928], [93940485, 29358677], [16211499, 14007514], [2437958, 4294006], [17317228, 11874228], [10966063, 31076837], [90033748, 99839433], [72557420, 44510638], [34340496, 23596267], [51272376, 44760791], [85944547, 22215559], [54420054, 89147503], [42325781, 46662394], [84094826, 45900199], [43551201, 34044932], [9470669, 17882050], [10117308, 4875297], [59530686, 51528842], [51744199, 59066886], [65647044, 78916567], [84738623, 46223396], [28265784, 53012948], [69607033, 62415741], [37149192, 76364135], [79657012, 19034296], [60193139, 93668890], [8641908, 97759939], [60123189, 59279854], [16530938, 60262129], [93381037, 29067654], [10768458, 99003190], [4338071, 16116436], [11384640, 9156942], [80180570, 17896635], [70871129, 96502140], [52633787, 9984309], [30176143, 46420480], [46463391, 57291255], [46899801, 74827642], [49923199, 58833112], [31852577, 44914416], [48048543, 47709409], [47164181, 97051457], [10837166, 55098385], [70934995, 16981418], [58347764, 96965408], [46791850, 62602531], [4191923, 36521407], [53609732, 1815603], [46511381, 43642312], [36629969, 44213274], [46500306, 37678899], [33214189, 39732955], [70603269, 45304152], [48017025, 62187257], [51567388, 61854142], [79317084, 38143306], [41991784, 4460339], [51872679, 19807254], [3087680, 43160374], [87309349, 20843911], [26438724, 19714268], [84446781, 4359208], [25295051, 28866833], [78065243, 18891005], [29144727, 73594681], [22522711, 53855073], [47484349, 51379456], [24482785, 10959680], [31049670, 44917673], [13893206, 78038512], [15956422, 33500703], [93038006, 40420120], [28886383, 10008802], [77447391, 88786320], [32265339, 99287062], [57569912, 70501557], [54187193, 79720451], [74556407, 90469613], [15438574, 78380939], [73747058, 23351866], [47450983, 16672156], [68547808, 56795137], [46761721, 93432146], [60279092, 25232539], [43378198, 37466421], [81320101, 56639552], [48718888, 1936909], [82500555, 1598984], [23230335, 75933737], [43786263, 71402582], [2348744, 55748514], [83019912, 17969447], [89973510, 24588142], [66020133, 28615144], [50919517, 11464412], [99382330, 71879506], [40531682, 531243], [91527614, 85624541], [37770255, 99225201], [70353932, 26353988], [32285745, 62700365], [48010971, 77641924], [57477067, 29863946], [32561445, 98030960], [93265575, 38326587], [69644481, 80082739], [9720722, 10748636], [9327459, 37713178], [13575482, 59625038], [16372300, 92928337], [60758527, 44415601], [49627523, 51851530], [86092076, 82828555], [16377005, 73713940], [69724990, 10661217], [60625419, 625900], [30359713, 50751815], [95062952, 78778996], [99110576, 40657698], [24614202, 57140282], [74159646, 900358], [41378565, 25825917], [72534817, 94249340], [70435366, 75239606], [40400492, 6673597], [2423490, 87878589], [53689561, 30661591], [27355778, 4938595], [82688161, 46780363], [8016896, 36790178], [72200519, 2655670], [89692306, 25887459], [28964497, 47028311], [37600557, 81648947], [53260233, 59798541], [21573432, 48817542], [89442783, 84736105], [71760837, 71834631], [53439709, 48808637], [63201254, 10137438], [26452337, 53240568], [78349453, 12554149], [92764242, 35814108], [61382283, 6268773], [68606619, 25590205], [80381040, 1346829], [66266922, 22304578], [5724838, 28273374], [48478644, 74518488], [94123700, 5951125], [70603076, 25367095], [47457764, 7762564], [80364176, 27519352], [19661898, 49632537], [16368484, 36692143], [96769703, 85506904], [82648700, 95507784], [88001469, 11039647], [66830931, 22384660], [50590365, 16681961], [9015995, 20151064], [91606432, 637512], [52678034, 49643226], [88102105, 19036117], [19363706, 67693234], [8586753, 65135725], [99076977, 8855064], [21821994, 2119648], [40395461, 3279814], [35745276, 55195099], [6214556, 36358468], [72341642, 81958806], [86966589, 93789705], [57170573, 28984626], [52490641, 7539767], [1616482, 35190797], [23164803, 92995892], [30371538, 56421563], [47323476, 91502361], [6398255, 14253690], [13845928, 63624795], [77795643, 73010345], [58256086, 21574797], [52215838, 53129856], [73868255, 38010717], [56618237, 6457663], [46647200, 43939202], [53338653, 21313732], [19716877, 30162578], [31592269, 9916339], [53399559, 1868718], [23087649, 70274420], [74991122, 9906112], [57141726, 49293449], [28241435, 12441664], [13229323, 78900097], [90443951, 95517995], [54285397, 66064356], [66188214, 97321942], [79664516, 10262624], [14126355, 47646318], [8026210, 43642709], [9445063, 54425888], [94171770, 75828950], [81507210, 375487], [8852675, 7051389], [88413660, 50242935], [13091131, 29411016], [11033760, 21631787], [86786648, 32578880], [66456503, 24687932], [37016942, 25654466], [49230892, 44525351], [99939646, 50378182], [24773148, 88824729], [37507464, 9573598], [43372384, 6267976], [25591625, 51263193], [29981991, 76231416], [43897733, 93506098], [71024542, 97422146], [52395260, 40107315], [64233613, 93371990], [9930095, 1003393], [46287273, 4167584], [66075849, 76548655], [49109939, 96331854], [716553, 38215739], [41476103, 85621760], [85576007, 71343827], [53579962, 3185655], [31187376, 78276324], [17769470, 21334729], [11300103, 93777832], [47131396, 34062168], [85710618, 24262577], [70527059, 87428336], [46551611, 29366187], [71939864, 56274097], [31794017, 88655713], [89059675, 50222824], [5088221, 8754933], [63916300, 99112547], [56471939, 80862818], [42720669, 68728586], [50575729, 69639456], [68274964, 27445673], [88771995, 77015959], [15212645, 44763200], [85769370, 51864306], [42958635, 40813452], [82248227, 74640075], [42555780, 71219645], [30770781, 12300356], [95574847, 33719130], [15912265, 74590082], [15416366, 5740073], [18675708, 14475389], [58914542, 59033751], [20733280, 63554146], [88210343, 15235620], [84677225, 69903793], [74347047, 45123122], [11758327, 96563712], [52815333, 73647829], [72150763, 43603334], [67473584, 89525647], [75035219, 24579585], [54473383, 2074639], [64276412, 18492346], [73291715, 54856069], [95494278, 88097625], [78994692, 8892864], [36245366, 11288680], [57373672, 43115091], [52739828, 44682392], [67961329, 73783269], [66934873, 50490580], [97897240, 84131262], [71827531, 21805446], [60963106, 24606537], [56619724, 9514657], [8093147, 84523624], [80863679, 28191323], [59422604, 57999952], [80341264, 23257221], [46172648, 83704884], [40947527, 51282585], [71754862, 24165313], [42385509, 82133847], [55138808, 5595244], [74401648, 43745125], [80567118, 96621691], [27150789, 51449962], [91478987, 65712072], [33383780, 97956137], [6735025, 39940751], [23527038, 36300777], [79016596, 94605394], [33788984, 71924685], [47597918, 94685173], [47557237, 59695603], [95026618, 73247052], [63029300, 53501200], [71141422, 15988213], [15720452, 52956753], [52935370, 89499400], [63693156, 21363666], [80658353, 60154896], [83412017, 18051691], [96776503, 33543568], [5294201, 55177270], [86898656, 9708006], [10016488, 14655424], [73933194, 59960869], [4247812, 34076932], [62216092, 60838397], [91559830, 15612316], [28187788, 15277130], [10211182, 31508793], [51638701, 97115496], [7618296, 49024703], [41328155, 93094125], [54337434, 25837371], [68274807, 4971845], [95654279, 75607817], [38719970, 70558469], [36544644, 23545390], [41459059, 53396918], [5700380, 34975994], [8574009, 26984218], [92771688, 80819279], [64225077, 40752892], [57290238, 41121013], [52267139, 37685608], [20986111, 56384821], [14651217, 96383345], [22124102, 45465814], [99415730, 12375518], [56397143, 63142074], [57760497, 61888130], [47198635, 72442433], [50765042, 6672087], [22393785, 28533801], [81859074, 96900151], [85699267, 77385679], [91817813, 51382783], [29263195, 80980677], [33914969, 86134261], [97733808, 9916612], [89035637, 96923454], [63633734, 84191294], [77742169, 51885783], [68489056, 9318619], [42900440, 6643743], [98655372, 83209609], [17446322, 7494752], [1188690, 78504632], [82676360, 39730834], [75194855, 33821874], [90176658, 24034160], [30847387, 32644593], [7551794, 84154676], [45369525, 91516305], [90817949, 25323906], [97376743, 25932539], [56062195, 45362501], [71348173, 39310141], [45769140, 50143895], [89812133, 59576075], [77021706, 49173466], [45021709, 69560977], [73525662, 57346382], [95091780, 37746534], [84568187, 83645677], [31905629, 66573852], [84801015, 76208052], [40245093, 46270798], [51264504, 13783955], [48533384, 66713996], [74395516, 43649814], [83193337, 58001382], [53964801, 59933566], [36649902, 79442935], [5807002, 42825313], [51812851, 5781135], [98988264, 95848674], [82653730, 84366102], [34545275, 2266491], [47791552, 72975095], [81362498, 96480872], [82951102, 76729895], [15186082, 11344804], [15479013, 26274406], [75418385, 59447219], [22525094, 30567567], [9943809, 752707], [5142307, 41150532], [37433891, 43034033], [37735026, 94033746], [8289399, 98501013], [89809614, 16036292], [44931375, 15143138], [75383266, 45264073], [59363139, 47232523], [94821460, 74715121], [91638245, 28183638], [37827065, 55193494], [12054426, 80463296], [73538430, 78946378], [8137966, 15251086], [19295768, 50172779], [71869873, 55823726], [76400100, 31023111], [50453800, 67168369], [39609336, 16666649], [33172760, 43167903], [61024224, 15861126], [46933530, 90342933], [39344931, 34674574], [68509627, 39800921], [89523497, 29037559], [68578242, 91210289], [82422959, 28787398], [58722602, 64084549], [71011780, 16723795], [86355260, 23299506], [93618069, 18251524], [81748648, 99196610], [69326944, 23898054], [180413, 35912504], [43089869, 80748414], [78301590, 44858784], [69584875, 7703765], [80625356, 57889664], [70055590, 51233399], [9516656, 95102097], [39158547, 18686778], [49803171, 2458860], [51624745, 53724369], [83608894, 89961718], [63370568, 94520418], [6484999, 58476607], [49398971, 3715210], [43456248, 16178523], [80597480, 8989665], [32695582, 14248429], [95487056, 88641598], [81616213, 53101288], [14011261, 88301012], [60927503, 20544366], [65141776, 46537677], [39401270, 92102864], [45443342, 4414767], [61084139, 94297132], [60505638, 68569400], [51350084, 77474963], [45480013, 24960439], [25791073, 73229881], [35528767, 60725608], [82753820, 42489695], [97291982, 6186151], [40288562, 36638967], [96458344, 53661121], [1543561, 32172439], [29199817, 49600836], [87645232, 68798124], [18705585, 93266861], [71269809, 49809912], [72253315, 26575353], [72057791, 90167572], [63570078, 28802664], [21986242, 19084977], [75006240, 82057368], [4226317, 30489227], [93853500, 95121474], [37401003, 38314801], [80114722, 99901163], [81121365, 32529811], [80062937, 91951884], [65745660, 85547452], [64775346, 42473440], [85782764, 62085556], [73983850, 96275522], [17571307, 98154094], [53253319, 64815660], [18059182, 86926937], [59164323, 23190438], [47891588, 94339525], [27509244, 19759874], [20449407, 4273473], [46511322, 94095854], [83364588, 98585750], [94083779, 84148994], [60333086, 63294771], [41471317, 64624565], [90373215, 2613819], [25570961, 36991644], [12144688, 36616265], [86101078, 61885807], [92474203, 40570373], [27212638, 89496195], [87761893, 82142195], [79723668, 18937606], [88914001, 95989054], [94101136, 76821012], [57271070, 50947656], [57843491, 23243748], [50688328, 19592748], [77713292, 32315888], [19742719, 92796059], [22039466, 32074000], [4861521, 99271551], [88984033, 37758195], [99112514, 63433873], [40346951, 2041176], [10752678, 99469570], [37145339, 61939408], [76088547, 89849736], [50328960, 21003711], [36252568, 23481302], [9455878, 52340233], [38939346, 69174110], [46835634, 23013690], [43859856, 27812650], [8532877, 8766508], [27574119, 24642961], [96690432, 91821137], [64167330, 64504289], [18498584, 48759476], [57660230, 52865329], [36910233, 77972492], [26919301, 30389827], [43372318, 14352922], [6161904, 98791128], [73242097, 78346642], [39261126, 99414845], [36541882, 34645221], [14125107, 38611435], [70019446, 15856204], [46438869, 74349635], [68763619, 93313470], [53026939, 69211642], [40004414, 57096085], [77021350, 77632782], [65500750, 6272332], [7077888, 31611703], [71083637, 43421424], [37556284, 82215653], [41116824, 26362005], [30709554, 55535721], [13486921, 44198766], [28626950, 58857864], [60712336, 74104383], [86211825, 36304217], [98722354, 22556367], [83332625, 97840380], [3501891, 96731105], [2311911, 61979224], [95071305, 85742247], [66365167, 40794885], [30706870, 54556147], [69418906, 30088537], [29136999, 67981459], [44097322, 68585685], [21114787, 79329393], [43247011, 10403878], [7503838, 20839216], [36565438, 42939321], [33917506, 94166835], [45164870, 62068351], [28041527, 25328590], [59930970, 40553651], [41442150, 83176058], [35839310, 87797223], [83412311, 63460016], [32553310, 53509624], [52680661, 54682387], [35308718, 72532900], [35252716, 93970875], [39132255, 31528288], [58365935, 56094091], [35604880, 69616931], [39790592, 27338502], [42293174, 29927501], [41367797, 99365033], [75582852, 57880574], [93970700, 92495114], [13434622, 90216092], [66829690, 17299394], [95714854, 78220922], [53048517, 53907003], [84090273, 42226178], [38459738, 88948746], [29679892, 49674438], [46592537, 1929656], [13895727, 29396557], [36358713, 54235681], [12841323, 52869888], [27333419, 50697056], [8442527, 6877759], [50637644, 58163667], [34611328, 83159209], [7749245, 83234090], [92760006, 66528861], [96976130, 83223980], [74490037, 3086150], [2284998, 93969585], [81319752, 96831976], [17442051, 81756972], [18573468, 75509787], [15980873, 22960273], [70329499, 16807676], [96032974, 18743887], [56478906, 45028774], [80971479, 92114168], [5170465, 99430906], [33245449, 50583258], [69633865, 70874577], [68982224, 6878108], [77628057, 69202007], [50996161, 7792695], [89234521, 57863261], [23562396, 24806827], [23237950, 62609454], [89925250, 28474774], [65682507, 95977143], [99003261, 27385751], [90578794, 39960033], [13501652, 73473386], [86690832, 35744194], [91035421, 53264251], [28675537, 11341248], [10747420, 96210135], [31801876, 27891525], [11538248, 82742720], [14688600, 36177288], [73919731, 43902252], [81369711, 58036564], [68517182, 22973163], [50951657, 15075240], [80166169, 53842741], [24287139, 3159245], [96651089, 44346841], [83118386, 98491582], [8065808, 86009618], [2905536, 22099272], [15256907, 19648239], [52541733, 74508523], [62324360, 16058355], [39014223, 28223429], [88933639, 90684340], [74740284, 69768102], [78910811, 92779541], [83844088, 63604836], [22044816, 57292607], [98652129, 26601312], [30020133, 1920105], [89529892, 76278763], [41673106, 37855478], [91468517, 49151086], [51649004, 23854519], [99614532, 10274089], [43270500, 13261516], [77080269, 45607660], [52187334, 72496745], [38766270, 67224106], [3206660, 50712896], [67286054, 23006904], [17482203, 44265192], [60015647, 14738922], [74401588, 40376698], [72492383, 50655490], [89572073, 69402965], [18712613, 77880404], [50033237, 33486466], [81447106, 84869556], [28790929, 95068284], [3990260, 38405115], [13185803, 9672752], [23279234, 43932777], [96551207, 81065503], [96707289, 53317999], [21096629, 79426178], [78612440, 67318168], [74846151, 68710617], [56800765, 24695874], [28834865, 39234352], [97547847, 78482132], [14439991, 10208105], [39516420, 65574666], [88076136, 18021413], [737316, 89553644], [15020380, 14206872], [20176359, 66377611], [14755369, 48042670], [60772883, 1188560], [94811373, 89934892], [60787406, 71650384], [27963880, 62548725], [94263986, 68745016], [72160657, 83698299], [34260477, 19207479], [707546, 85167091], [19034697, 12675105], [3520475, 38998122], [12352958, 2875053], [10309498, 20786990], [22748197, 15489190], [13447991, 24305439], [28940646, 3755218], [19915630, 55523747], [83534285, 84028634], [4261123, 31199142], [24202442, 24584881], [86578008, 91604358], [3824337, 32366656], [94843300, 76528968], [31984405, 83771508], [63006591, 83834959], [65559214, 16644877], [33366, 41054964], [62580955, 97352272], [69964103, 95557901], [31882203, 31010587], [12523247, 1872809], [35694070, 34368818], [79663863, 21479965], [23061698, 97642393], [5604240, 92694348], [58674123, 72971455], [94069843, 29833528], [78673461, 99891186], [56096281, 80422598], [57693147, 61867176], [89832488, 9525319], [32550703, 94799261], [28138970, 31571225], [45568869, 91538911], [74364232, 43183753], [74936457, 11841774], [87837819, 56734049], [96596933, 97887912], [96308767, 13070961], [15150900, 69847909], [6907933, 32339265], [15128556, 45638365], [14784673, 81831075], [56446026, 97661361], [61820611, 90686284], [22455521, 49495754], [7669370, 97642657], [61732135, 3015320], [12721250, 58658583], [18112724, 56259693], [76260256, 76965043], [81077718, 94172025], [45688616, 52303553], [52408999, 98528172], [51340844, 94925070], [70337839, 58096253], [51210495, 56693655], [80225731, 32568716], [85789818, 48133197], [29847402, 95283174], [44369110, 41730963], [31578965, 84071302], [30656303, 17152505], [26001075, 55642291], [21695138, 88332294], [17179681, 60578452], [59857520, 31726779], [61921120, 23551698], [50494949, 96754441], [81961463, 84237837], [19240708, 64815647], [44233683, 95666030], [16701588, 73315143], [83495060, 44404844], [46275429, 63926154], [35207371, 52243569], [58868899, 63033440], [52644917, 59560770], [3963151, 37026819], [18803162, 71726758], [83141654, 78951532], [39647247, 39544950], [79326310, 58998738], [16893574, 38195241], [27139524, 12380216], [26707496, 94134203], [98523539, 64296387], [94313532, 37202048], [99494821, 35211222], [93271053, 78999101], [64441853, 15124382], [40214105, 36922001], [25981399, 32419549], [15125092, 89986052], [41261764, 66383658], [90640481, 37856686], [95554974, 29394559], [68699470, 5321792], [78962097, 27077187], [34538651, 16772976], [71477019, 72485060], [93680121, 3853446], [26112101, 90139837], [15103732, 96604396], [4023420, 70594443], [11205121, 33276938], [36654755, 6205345], [34734161, 18105032], [99960352, 42010131], [6895846, 85257091], [15416622, 12937763], [75218858, 1735853], [59532258, 41080258], [35221285, 16454806], [77901210, 6892165], [40542999, 97481391], [337471, 78648080], [458184, 29031880], [47814025, 71367826], [99801904, 38807783], [17913877, 91034720], [56047471, 32084469], [71957834, 5339203], [84082450, 50233177], [76623583, 24377641], [81829500, 59554931], [85032749, 10645294], [18071601, 52435656], [62005794, 14183575], [8677602, 63853928], [85683890, 34043131], [40312072, 91911721], [50970708, 22859506], [55616153, 20637917], [20617437, 91551898], [24633593, 60167175], [47080759, 33363788], [14146373, 54079970], [89273366, 65983734], [40412444, 51608676], [47669979, 49269066], [30339115, 32707049], [33073079, 58080592], [90300073, 67124681], [77408245, 7141883], [58211621, 39127638], [41577732, 7311775], [70068611, 4363320], [66418448, 27810272], [25960440, 92463512], [18831095, 43225871], [71523697, 94322626], [8528028, 81099959], [21944649, 89094690], [14800865, 78383048], [45650486, 71360487], [99962071, 79289626], [22414761, 13737274], [24558214, 7996984], [60976653, 12087121], [2370381, 52359003], [73364088, 99322611], [99197236, 20690046], [70925023, 16989667], [25294189, 60645563], [21577505, 85788507], [32100724, 6039316], [51813596, 41849557], [33694486, 46408949], [15793687, 2727122], [36929991, 55231076], [79757499, 6000349], [55185786, 33327196], [99059152, 30462313], [87108770, 91149495], [64553284, 62982219], [9240426, 18564135], [12694124, 57507722], [92631187, 3904372], [50249679, 68973765], [32549837, 31083822], [25404803, 60654881], [61320207, 41622433], [89785905, 44370669], [54686733, 11075154], [43951878, 12497275], [76782774, 9075020], [55162802, 91005031], [31148967, 39195339], [7079203, 93895951], [19587598, 29379456], [17948116, 51924997], [96046471, 86888596], [79944301, 85050295], [88299557, 91991574], [47741984, 28184917], [55195117, 38721943], [24453026, 38820305], [69862558, 51151882], [74537422, 88971985], [80014552, 20325153], [98196874, 82956954], [25565114, 7363829], [6249233, 98300424], [32844059, 57440949], [60645577, 8066606], [13496632, 82742962], [40455021, 63440196], [49746899, 75616289], [96920235, 97088207], [61867936, 19766293], [27201818, 75849399], [33368702, 15070185], [92316609, 36415635], [83816948, 14852232], [15933806, 16952478], [29961194, 85720763], [41621788, 35919416], [57330727, 74168005], [9713011, 50657199], [62221149, 18784855], [88658849, 41528658], [1709624, 13330782], [55408597, 35628308], [48242199, 63508904], [22564552, 58685512], [93166796, 7583746], [11271793, 37806962], [42453715, 57926799], [71534904, 18758901], [18604115, 21915558], [19668773, 89414015], [63918629, 51108030], [38394374, 2270787], [66731257, 95209468], [60405757, 28112633], [59266454, 80942843], [65980605, 37055942], [88459328, 54030773], [34403225, 95896682], [72973889, 75347735], [88618101, 86973649], [20760360, 34508178], [25884365, 65332876], [50821579, 90177140], [18924824, 33490248], [91052958, 91085964], [67615814, 21192571], [58730851, 65453585], [18795543, 91278400], [56909740, 47078623], [72472376, 77076426], [18199533, 94009088], [85317483, 21545888], [76961995, 949188], [36935573, 70622003], [73545762, 62411685], [66744074, 99216100], [71812638, 7335275], [77173118, 93523765], [27025005, 14693682], [40698638, 54664746], [60112712, 84759770], [17138686, 82319414], [51728154, 71381938], [20892243, 90841768], [42959853, 70536595], [82023964, 66658043], [97567773, 52431108], [58104641, 11528260], [87274273, 44883922], [24570423, 6576289], [55982388, 418947], [29295904, 23174710], [75067683, 82788674], [60693691, 47872751], [20673994, 21879494], [11669102, 42309002], [90419072, 19877742], [99834377, 87363656], [98557428, 48978305], [68385391, 78890714], [96202486, 85868061], [71507281, 15196955], [68938325, 77539931], [78727400, 54071202], [79210870, 31830468], [92410192, 25738719], [64520884, 48534537], [65193888, 57485403], [95143027, 63949799], [3822392, 84701394], [22024856, 27575176], [88007816, 3448565], [50619307, 97954050], [1343214, 30854373], [46185397, 70037266], [12998073, 58343585], [33966685, 43799873], [23822654, 52837874], [53883449, 26310293], [75697124, 59054873], [81726247, 82774726], [74315435, 17670381], [46108672, 54063675], [79996961, 13350413], [53410327, 64994176], [93970850, 86462566], [88428422, 20327308], [42064601, 39813255], [25229256, 61350060], [55896519, 69372736], [75394273, 94216748], [47199756, 3616596], [69736680, 3974193], [52122359, 61908265], [75484199, 16177159], [23221562, 57776069], [40740045, 38457243], [66320542, 63692446], [12751669, 69417926], [16811801, 95481541], [81643793, 66372318], [8501142, 99495298], [84498188, 29789297], [36175184, 46356598], [87030045, 77995115], [94515365, 50466804], [7606233, 49228231], [39723869, 28617963], [27223064, 25964272], [17955206, 76187027], [73970271, 15952642], [70890257, 72369959], [85987874, 87981310], [83370357, 68283661], [50853433, 97974105], [57202229, 81941024], [79693079, 21587184], [69207216, 32801996], [85791515, 58722846], [58089981, 64216936], [73611767, 335297], [75175884, 49005], [49758435, 81514709], [60020836, 46503947], [70984768, 10858158], [24899645, 69751446], [71830843, 58746475], [46631890, 34474529], [48757747, 36658392], [90144995, 45512721], [76661802, 5880611], [53807924, 63683099], [36247771, 41252275], [66394259, 77468869], [72996836, 73338787], [37409674, 36975728], [41443408, 71534169], [60052492, 19271088], [30425404, 53243511], [69142806, 90619096], [56725493, 15377829], [60059621, 49306936], [90738177, 82426964], [43062764, 78497066], [54073930, 97079450], [12818964, 47563104], [33069379, 32909927], [5398158, 28016635], [32838129, 48597011], [72730005, 27276753], [73228349, 60585577], [22902408, 70613461], [82669526, 56042033], [44002578, 92790474], [43146118, 69257042], [20877051, 62080966], [16261569, 67007556], [87736610, 77276361], [42632756, 88057413], [81398277, 75612885], [26597358, 12204465], [18808748, 11142666], [6622313, 24182334], [49388202, 62003084], [57325793, 22432279], [20401161, 201776], [25763088, 27632577], [51083527, 82639978], [59051191, 93546243], [70798526, 27224628], [23625535, 52825352], [29531492, 58971031], [7870921, 80799074], [11124652, 62277868], [52158672, 27664388], [6577344, 89684003], [97722310, 71338597], [96400, 263940], [92772853, 13871648], [5404823, 40662604], [64113377, 17697865], [29029184, 78833906], [55655854, 33687611], [92526089, 76322650], [49508040, 45024738], [92822690, 50411672], [10677980, 1916016], [92745404, 13954748], [85558500, 4880500], [6399878, 39715242], [59919234, 7156641], [31854227, 88892628], [10030802, 33341300], [14262239, 36945394], [65549418, 16223648], [65684802, 89786085], [9838917, 47241613], [96939394, 16488220], [18068885, 57005622], [50862130, 57134417], [40689045, 57467088], [1642089, 67297421], [84612107, 89521128], [89547026, 5753458], [2709425, 61071555], [4062283, 49511296], [7923467, 61809539], [25292787, 48105554], [80606209, 32399828], [70780665, 29022549], [25543576, 43298196], [5214614, 3816164], [95919199, 81100477], [6634685, 59651888], [47919066, 25122485], [72954728, 53423714], [3053332, 53589896], [40866638, 95470000], [59199737, 73008205], [72506800, 20305630], [3356744, 3397066], [47964595, 94336794], [83368175, 87027276], [75277162, 28765092], [55151650, 87435167], [79215870, 78393041], [71295619, 40573231], [5929239, 57364938], [4243405, 95346586], [84051771, 51129650], [7631512, 63805152], [55006912, 6010995], [93275772, 5387857], [29541087, 66715965], [75579832, 57200452], [66575188, 70871961], [68523752, 16317951], [6893895, 87442411], [79013718, 93901638], [33720262, 29620806], [53093002, 25020028], [13356618, 50022316], [1559507, 17325932], [45743990, 45249368], [56718094, 22670342], [63775837, 91555228], [9604717, 15624136], [50499782, 70819976], [85771377, 31560189], [4535354, 86826869], [82808435, 48843987], [83006165, 41611505], [95894565, 64043631], [66879910, 58405350], [22979853, 74766197], [15171091, 59491314], [32104775, 54087471], [38199868, 56014814], [40439372, 98880288], [55192174, 65777906], [17971867, 67191509], [25550635, 71002856], [87937948, 78306358], [41094775, 827708], [51019688, 5683582], [46204243, 64646001], [8132818, 75544079], [34572145, 57629559], [27685629, 64289777], [44053167, 26201893], [54489751, 11297953], [11049955, 83342298], [13808908, 34586062], [68152139, 67223651], [96100713, 57665076], [62588504, 97739174], [57239107, 24238567], [74000381, 14845628], [39457588, 79889574], [87364977, 1547318], [70217778, 51711362], [34340483, 45638776], [46935193, 8006033], [55840493, 40142822], [42922657, 34330184], [83747625, 10165760], [79994948, 11463449], [86577261, 53269045], [81800748, 67000103], [48842029, 7961803], [5302547, 57538957], [13516433, 51543365], [38307878, 82428737], [8960969, 26467728], [73609240, 8591747], [33843462, 92459608], [97604840, 66118890], [80138404, 356943], [49349621, 31201670], [56931347, 64088643], [22582920, 15528211], [21299878, 50497764], [83379340, 44449496], [15369770, 20289684], [89020823, 25528571], [62956903, 17624951], [65864144, 65012143], [73585747, 82532041], [50717193, 89661893], [88839278, 74665053], [57250452, 81617675], [41404019, 31620090], [77687842, 26396567], [95002950, 8076953], [62739768, 32058212], [61229462, 10016087], [62929600, 32453134], [12230267, 6978117], [13883396, 75638438], [35300300, 90774253], [72164606, 78214227], [74277139, 14955126], [61947817, 43415650], [45518348, 50718869], [32362524, 86881516], [91111051, 4351922], [27375020, 6760430], [49818371, 87016004], [27617453, 41643982], [54613114, 9557674], [84432779, 90273698], [8767913, 83714439], [1243624, 16878865], [21733560, 65524049], [80378328, 82937898], [83131448, 24221469], [15463652, 63849018], [86911540, 56035328], [51283040, 11772374], [21575220, 66306304], [1240334, 35069208], [27143619, 40723789], [1586409, 75228224], [90819320, 18016919], [46975741, 50060411], [53149923, 66994152], [92237587, 50828927], [63084239, 875856], [10760830, 34411348], [62196431, 3763635], [57421150, 36695285], [50208097, 22071660], [79188448, 65597167], [99461084, 40221322], [37021103, 89186289], [95660013, 21866093], [55108874, 35592553], [57673529, 44424923], [70477759, 19069732], [68971569, 28891266], [44993750, 4692728], [3380936, 95847672], [70882481, 58852955], [93572062, 90196903], [26442443, 3592564], [78181379, 718656], [42870497, 85777403], [96207573, 34024043], [29399936, 64541109], [32714535, 94924446], [33541231, 49636923], [21921262, 32433802], [26480066, 7761839], [13775208, 73761181], [22029849, 74479641], [47274610, 55133863], [5590483, 26124986], [33104248, 9483882], [84825889, 94889607], [97022688, 32531568], [19536937, 86552757], [35022171, 77055831], [21603369, 67609499], [72560864, 9761741], [14193005, 53151559], [56381981, 1202682], [29290083, 43614779], [51290906, 12985047], [54801810, 50229551], [42313012, 18158226], [55825142, 74603264], [96212454, 43909725], [49755382, 56617579], [5704181, 24756061], [19393289, 2990059], [77408547, 36622205], [37923703, 94393335], [70530700, 47852977], [38662788, 74961753], [18215869, 47550742], [6384907, 78528649], [79400640, 89344972], [45983215, 21294825], [14895823, 41334975], [90228465, 53929515], [67080684, 58225553], [33073302, 52758091], [42406694, 19288097], [21383822, 61757247], [99248423, 89441540], [78830655, 12845387], [98539686, 31833278], [9726051, 59857671], [12505757, 67151576], [40503075, 87054220], [12852039, 86625205], [74650525, 80811941], [5157270, 68492702], [32039831, 29312659], [82764849, 91154700], [88415952, 75090787], [81624717, 87708980], [98369915, 13243581], [10927596, 30030524], [9544124, 5835830], [38212558, 30164748], [89847250, 66296831], [58925033, 49636177], [8064213, 14203411], [17519826, 20890649], [37419677, 84291943], [1597540, 41184604], [85807680, 36402388], [15334035, 98447372], [32985733, 55282778], [69048505, 49045167], [74606256, 41549994], [50499710, 17324403], [43945254, 57498887], [45839573, 6413371], [29960917, 41116834], [75522548, 48614359], [8424163, 35092425], [82902452, 78323201], [26925230, 97923438], [53863902, 46046685], [62762901, 97972960], [54944525, 59224707], [9430468, 67282349], [16355835, 96836704], [69446562, 36739575], [7505613, 30440553], [34596724, 31263163], [81040124, 45496040], [72768427, 72874152], [7931532, 96697064], [45613738, 80050844], [64271051, 29111839], [87319226, 7722297], [33889781, 5500354], [70475360, 11773193], [96132400, 72865641], [8874014, 70190319], [73956408, 57877398], [89009244, 11153392], [53441884, 8504725], [65872630, 70268633], [61499709, 49641069], [35232824, 78438268], [99754851, 43987733], [66809592, 35729672], [14380719, 32057852], [53050946, 33780686], [32268753, 18335212], [75184568, 4275472], [86159040, 35771886], [81516393, 19323286], [72205555, 12760388], [328335, 47331689], [10512909, 23870479], [16230233, 8365743], [88944722, 36484138], [3280944, 20828017], [54970141, 30731655], [15615300, 24489041], [46929519, 3016098], [59306500, 73024671], [58844455, 32030253], [84562753, 44765639], [40482487, 92921744], [8209866, 60717487], [19626346, 94286130], [40763234, 74725458], [42623146, 84975714], [56197394, 6067447], [10775829, 32291644], [52105697, 18351384], [97063237, 75410216], [13639984, 96569727], [57690789, 43880917], [81367004, 4603519], [12233820, 37808869], [20610700, 8353567], [86718634, 38260951], [68896489, 41230456], [86920318, 8646567], [45665469, 54510413], [27962386, 60090901], [54563685, 25725559], [9409551, 6548088], [85470420, 13934483], [71076841, 21450267], [16286542, 76079884], [54320353, 89188832], [48316486, 55744766], [97754425, 70889342], [89387977, 63417923], [68818462, 58450278], [11953218, 324017], [87801870, 33690788], [13592749, 73784323], [48624912, 361314], [54125854, 20542405], [297154, 21366757], [15607739, 32339828], [52420254, 39276600], [32855718, 90258847], [20912611, 28289513], [75914877, 79653768], [62965808, 13952024], [99292907, 86764069], [29795872, 40218769], [29973492, 61854066], [32150631, 21392199], [78640963, 88533223], [98281169, 33273371], [73996358, 69700307], [26567463, 79320091], [15279166, 63534947], [4721098, 16742101], [48855664, 84059946], [23885578, 33293874], [51778421, 34152263], [39281686, 33873551], [91348793, 89384474], [42488052, 11549560], [45632075, 99105051], [3077035, 21813918], [28902520, 39813099], [63319481, 84253343], [30360893, 5508010], [43754777, 78927246], [65843690, 2501470], [73948314, 24185780], [89357011, 9404598], [9566021, 20195149], [75298746, 70048214], [84006116, 33721044], [92450569, 31462393], [8156282, 49745860], [9088715, 60014575], [78710945, 27418234], [57145518, 32811274], [91844802, 70775203], [65112492, 30347508], [76225904, 78653501], [87206539, 55163715], [82692845, 51969403], [69677151, 30651678], [4892148, 41724338], [4404163, 77109431], [44136581, 88551973], [95110472, 89064971], [47318070, 69111592], [42618275, 42912684], [1069908, 92359403], [68411723, 89546683], [52082969, 22219812], [1312330, 67875078], [54240073, 29735799], [88243013, 39265248], [3476650, 24039270], [65740335, 30710104], [3920123, 93983900], [48661701, 42428977], [65782101, 8975455], [39025252, 51685160], [95000173, 12072102], [95218541, 13607304], [45365159, 55580975], [80672054, 23811046], [88705444, 6667120], [63294946, 21682030], [7336516, 34280697], [47564096, 64863326], [56110237, 95357834], [87304295, 28980389], [79311172, 69666626], [96564992, 17400347], [20216294, 14260868], [66032696, 51535660], [10607847, 90690516], [7471360, 3277473], [23715340, 11491198], [70608753, 38804065], [76383472, 70349729], [83043838, 69218556], [63928715, 67144379], [49505358, 8010729], [98248880, 26081744], [90745844, 8544676], [77013290, 255528], [22735614, 66303164], [94705733, 21926903], [8151753, 71218944], [82973998, 20477343], [92724360, 4887995], [37936352, 13450133], [93329441, 49733269], [437118, 80956200], [21795981, 82522053], [73934700, 44503794], [65755398, 8425882], [25465686, 73946142], [14746764, 47452280], [414878, 86115245], [87778220, 17208218], [35401296, 37053795], [66759780, 84828237], [37905403, 34907632], [85465883, 60429523], [14668250, 31081989], [63675452, 53585849], [39931841, 71429647], [17255850, 39586962], [65991138, 37858586], [30224214, 31064402], [20884209, 66169427], [68351978, 97482538], [53764542, 37899619], [78404762, 73308761], [35566476, 64795392], [78622578, 35718613], [21488991, 18137434], [36778150, 5849448], [25668730, 68745366], [88580399, 48230760], [94425533, 19552173], [26137525, 80475198], [11477489, 21776752], [62732021, 70324432], [36329667, 55588397], [4417933, 89179266], [9201407, 90512137], [72193806, 56261163], [33251944, 10058297], [95238544, 82728244], [63829334, 24017456], [10112493, 19546744], [31130558, 38896712], [39155169, 28424674], [12196098, 56810478], [45240403, 38024463], [43087257, 50430070], [23132606, 55323619], [19657301, 94893072], [42232847, 76344179], [10256775, 34855360], [64211164, 39721621], [48424156, 15094855], [59659053, 355418], [60105915, 14897328], [40923985, 71453196], [64735584, 99749245], [56808111, 66078368], [17946095, 92834641], [70254137, 46758243], [95035242, 32797883], [14994436, 40065583], [13737370, 10410293], [80640207, 1010199], [25447820, 69762866], [94191360, 70993433], [30242466, 47043768], [37885700, 75580523], [42499698, 70403507], [97462940, 3402295], [64508094, 50807549], [84454659, 81052575], [12401713, 75392621], [4400150, 4887945], [72965937, 90776988], [52390538, 12092501], [58160059, 60709337], [99057494, 20599831], [870568, 86697837], [11394847, 67052534], [33601280, 80968069], [25828974, 86848693], [37688164, 47216982], [60876142, 68834219], [56045012, 34345996], [28293747, 76028246], [99191580, 13043348], [78914597, 432253], [16608834, 75665429], [93698817, 64128052], [25118486, 23351517], [46603562, 69908356], [73678701, 80576612], [33762115, 48352526], [41573715, 15715445], [19310867, 73931654], [60553725, 29106402], [65186769, 40237301], [26996078, 14997711], [10570459, 96768684], [30364639, 78258515], [1356558, 38295862], [61053038, 1292135], [67618065, 64956158], [20945604, 21223110], [21827568, 84513652], [65638120, 71761181], [82769703, 86596198], [71591635, 78139244], [90553373, 4196202], [3376735, 53544396], [39132001, 63123050], [69995913, 6328917], [48160213, 74867658], [19595802, 12483970], [87679551, 78209637], [62970006, 87283780], [95654365, 29273970], [37993947, 14795436], [79218564, 72265262], [1442411, 50805803], [34618724, 35964248], [28868383, 25317320], [29341970, 4994530], [39775210, 36727740], [66182283, 69168647], [71932410, 93885945], [32329960, 9734077], [45236268, 25993670], [57340668, 61529003], [94214998, 3721594], [67346448, 65342650], [15306222, 54637612], [25697994, 22950752], [87430128, 16821539], [20822610, 14436833], [10379548, 36456643], [57307674, 90441663], [88844179, 24357412], [26765824, 18876636], [34747016, 22200617], [54213115, 96977476], [95926684, 68454115], [6961950, 48162334], [91012174, 34298033], [61196938, 51987369], [30682733, 64145938], [14032986, 26636691], [96509131, 20646128], [20885732, 67433185], [70674188, 30916460], [61593644, 45995191], [96397126, 86287801], [57286313, 98100779], [82976281, 8340606], [65292712, 73266922], [55373509, 62360899], [23188821, 43144996], [54820334, 74769659], [79758315, 31112035], [89481588, 58621572], [39003539, 88485382], [65102242, 70905529], [57897367, 32887563], [95796760, 71024222], [40215245, 32341022], [55274348, 36732417], [52864726, 15884270], [14721593, 65207632], [34552343, 78801364], [8671082, 48998186], [90912998, 3216789], [75548022, 485220], [5824339, 70682630], [14278976, 88146787], [70480092, 69506370], [21358206, 98979137], [35954176, 59847739], [83033526, 57331877], [41253833, 68153947], [30050930, 30067831], [89897852, 77913822], [13264349, 1246011], [96447313, 19260933], [79813108, 8240832], [33704898, 73682708], [19573993, 67909554], [17572255, 55212948], [49230177, 39008064], [67157889, 98662988], [3822073, 23385023], [95156415, 761089], [34716590, 54074673], [31780649, 13627586], [56754680, 5025051], [87687062, 96375987], [28850885, 88230101], [18767770, 92157289], [85637309, 52061627], [16703415, 76451108], [32823909, 81458828], [78501625, 33680578], [81956968, 23386841], [19845822, 61107197], [81670757, 40319992], [71754417, 99522750], [41835147, 34886717], [16500325, 44185058], [66339309, 95263633], [16491252, 45162921], [7024066, 64408591], [30968009, 67987287], [91604342, 16160137], [63559487, 55077591], [16280106, 57699096], [21610870, 36325609], [37658127, 84349785], [11528409, 68277430], [56418983, 26207734], [29622424, 89594861], [78546128, 99032917], [29117005, 72839528], [48283650, 35471638], [74905077, 87611776], [63562283, 6985463], [24931212, 80055230], [89458613, 193625], [21742597, 69429548], [50709509, 47500004], [31480119, 8463788], [870745, 34565216], [99454262, 69089784], [96782848, 40177002], [83040738, 16050058], [95677644, 4192458], [23792106, 27249936], [92628822, 66998337], [40120929, 40821247], [34525016, 15043503], [64254054, 97302251], [24162989, 90753198], [83975380, 45099398], [77991995, 67503581], [68976239, 71812977], [40370299, 53788616], [50520784, 80668612], [36648615, 70755133], [37256504, 17106958], [14586515, 14313701], [46158327, 57832833], [33024040, 30089948], [57721579, 10995740], [51676066, 33692768], [36908813, 76157061], [39481018, 29386424], [43834822, 18820156], [50914161, 96658634], [59223980, 90263218], [87296018, 83163069], [51446272, 6654514], [61756670, 49564592], [70633334, 51182538], [71378869, 88493049], [83228326, 70785340], [42243737, 54514022], [4591836, 58288657], [14591133, 16937437], [25612137, 47062977], [5090327, 11958443], [87559446, 69293795], [20885714, 44914814], [89674058, 81627029], [37076455, 66524494], [23812828, 53985188], [70929392, 25974123], [48302150, 37489397], [93274888, 45734261], [88289353, 60807880], [35748953, 78623922], [76167998, 1838550], [33200800, 14447971], [96254334, 45260815], [33940598, 62806513], [74861197, 50985979], [28403318, 15186263], [37895263, 42874245], [68955604, 61691331], [79302680, 66955987], [72010197, 34115348], [61641497, 25042753], [95467283, 47343219], [61212227, 89882746], [87206870, 13450368], [12568944, 70411374], [62292434, 11291386], [89620559, 16272872], [15136364, 77557975], [25952615, 54512605], [74473043, 42991390], [36335513, 42930639], [88911660, 50800028], [26718935, 77322721], [39186175, 10088305], [77656807, 75764284], [56847059, 48899895], [18179111, 9973090], [18578684, 90554010], [98793724, 52059995], [18565354, 225437], [2187973, 57124615], [38030291, 87658939], [21238249, 17119819], [47171192, 9824659], [40587251, 12695804], [41033678, 83080288], [84122932, 55218775], [84387725, 64719590], [38760846, 12081344], [6421476, 63701032], [73373342, 52521413], [5452656, 21124523], [61844312, 56835177], [98209754, 41304818], [29701719, 6786952], [86304709, 53304194], [93031880, 97702515], [76309951, 9012607], [49371355, 47449286], [23161137, 75837921], [60018570, 38733177], [30559916, 52324356], [50194461, 75418303], [76076802, 27196742], [13660838, 73314472], [94362145, 2409496], [77493633, 42116970], [69422729, 39898315], [93525584, 74019603], [73268187, 51011040], [34942922, 86881994], [69194806, 81120570], [9791462, 92816309], [54323490, 58864325], [44899523, 26724631], [55510992, 34677160], [15613811, 95025660], [85885940, 13790048], [48766319, 28276700], [25637125, 1605997], [81456742, 46989543], [43364773, 29916955], [35376980, 21509511], [85932535, 26804956], [24696406, 13410466], [26324147, 62500654], [68280849, 204972], [50095265, 30840994], [24455796, 54110605], [29866525, 56462256], [70952669, 12543609], [8873145, 2604500], [3677567, 55117277], [24084211, 93192575], [40383843, 83859119], [6258754, 33667150], [46329724, 45526964], [95604595, 31823723], [99147610, 57946628], [26668892, 60610249], [27046810, 88456105], [59869175, 77602781], [47648908, 68693562], [36521795, 50798665], [32386742, 36595413], [12145577, 54752468], [89029968, 45749406], [65640201, 79264550], [17377932, 13893048], [69356697, 34569892], [10487113, 36513384], [85447498, 2779166], [57210230, 21528717], [67923004, 60291851], [71977282, 72504839], [83142941, 74421103], [2158251, 20776179], [19102675, 45343045], [79110982, 79533012], [63030684, 71500603], [71976987, 62876730], [43272845, 48259591], [95145013, 464472], [23398341, 23219443], [14186228, 52138217], [48040068, 23041664], [5252506, 35999247], [75759079, 29951641], [49916581, 22431101], [59496781, 75703248], [21397482, 14747441], [36520348, 98483999], [29744283, 4765942], [98831808, 26988912], [13449013, 1595083], [8136802, 68390571], [10094866, 85416692], [42066708, 38167084], [89176646, 90453167], [30820768, 81271265], [1731611, 73916236], [651323, 21980691], [25844673, 44343424], [23195464, 70281980], [41905730, 97645750], [76846086, 5768559], [51719763, 56085093], [99949726, 73703489], [72814225, 6514453], [45413488, 42565101], [7590587, 61872882], [2016512, 25887568], [88801034, 27606259], [26282282, 17090347], [27622945, 67684652], [12105690, 11734454], [89337184, 36690707], [48072058, 62956954], [72796961, 97599278], [18917079, 26942441], [87543453, 67007965], [27635494, 23288518], [65317844, 62614289], [74929066, 38394384], [93168820, 720905], [19731049, 75663497], [84958940, 86434594], [9708790, 6613525], [61149459, 48981169], [9383803, 19815662], [76355556, 96973338], [65297018, 61115496], [19769765, 72514266], [33584612, 14427565], [89449407, 74445585], [78553423, 86117828], [66370068, 24515477], [762908, 42334117], [31077563, 48892980], [89434646, 9275190], [16739187, 56562730], [31980510, 99422891], [2569161, 73443500], [83445014, 33304243], [60211780, 3486222], [16799766, 34916164], [3550446, 81395810], [31009561, 23854233], [84417550, 88975539], [897752, 75152880], [39385623, 70053174], [80768940, 31784746], [64567972, 76580602], [58018173, 94660552], [22751957, 83055432], [93067459, 88829376], [31849534, 46176021], [89161951, 54101458], [53104753, 64983825], [70849567, 33794130], [74510217, 48915850], [61931479, 76950621], [45382473, 48299262], [89244148, 9475279], [57861581, 94981123], [54217885, 19950597], [53340011, 20464109], [20240470, 28937187], [3403875, 19410054], [7744260, 1629050], [63985244, 75098998], [25087167, 7457058], [61448426, 31298848], [84368169, 328188], [61376398, 12108067], [29862883, 24502383], [23586081, 84940553], [57693270, 58095523], [77948645, 72512409], [56675038, 1149324], [62603842, 51638943], [10307511, 50513566], [97812727, 70284969], [27827378, 90975082], [51306536, 3683074], [57599942, 3287019], [10021164, 2815570], [17553488, 92103453], [61460594, 90765479], [11353775, 50348138], [43730107, 2846991], [89712016, 11043783], [63513475, 70842625], [72740155, 36747394], [41842672, 14863035], [33188248, 62282531], [37559900, 4214595], [29171937, 56705556], [37296123, 58484717], [28403700, 97849430], [85157480, 36570385], [30663018, 83973969], [38648065, 47500310], [48612292, 80050467], [80876707, 15758539], [21393062, 91914050], [45842980, 54027569], [91763837, 27315817], [68414087, 25512890], [23145722, 46883391], [43615987, 47834433], [62497418, 4486379], [86917868, 84145768], [75761856, 30648443], [66503641, 32982463], [88543101, 18626729], [97971731, 15658501], [57223193, 14951500], [64593077, 30228963], [41670714, 77542222], [63330427, 85709729], [98539362, 21944391], [60509695, 54914657], [21180353, 38121967], [8639151, 64070322], [54202525, 56855254], [84530092, 98628856], [5042174, 8049457], [88196427, 67407659], [8822875, 19131430], [20545660, 55937713], [58805522, 18170094], [68349055, 71067609], [52088178, 71689034], [91756598, 31283018], [38163783, 13816183], [65812914, 60282414], [49124120, 97067861], [73805608, 47260614], [51762372, 30883849], [56868937, 84958212], [6850322, 26497438], [58076932, 92357611], [88076765, 78610618], [98522744, 34746750], [4492796, 57573616], [70345983, 20938198], [25510965, 8260633], [36654871, 6860231], [24167713, 20614666], [8965071, 60421998], [67251552, 55087803], [55241327, 15130324], [13756544, 90454341], [12180016, 72515277], [41243549, 4837903], [85685852, 19514153], [72518089, 39213852], [62815071, 20826221], [55334496, 94850561], [71644443, 88819529], [14878666, 20701145], [96036932, 89674657], [31313196, 15128609], [10018394, 90473310], [41765783, 1156497], [6034923, 34155130], [78854147, 2562708], [23171323, 65143382], [19930379, 88758619], [1765231, 13240943], [47035405, 29569398], [559085, 86254381], [23604837, 36202388], [97655645, 38596789], [74785867, 15442245], [19772954, 71292916], [21065431, 55953085], [24806658, 41670362], [54372316, 94480286], [61540963, 31388930], [86043247, 76428644], [59789118, 46715099], [93697585, 45305761], [44841922, 6145755], [6764916, 92533929], [13738404, 93035868], [39606474, 69294794], [66446880, 25919634], [57270244, 43666102], [72512980, 77987727], [82913161, 75726588], [12191265, 2174210], [95282151, 83106773], [73715027, 76338788], [60889123, 35476445], [41222951, 97828839], [39517094, 58137165], [61703058, 13732948], [76018785, 43193446], [34778932, 66418394], [80822903, 78050320], [65222946, 79541189], [25444504, 25683144], [50240662, 27886453], [44038622, 87681665], [57683870, 23591004], [62399800, 81972098], [77941453, 2212438], [85907870, 51192540], [37522205, 26365515], [80779049, 60549794], [42283564, 617379], [60606833, 2266683], [63522392, 50350520], [18745107, 787184], [66247297, 93221413], [97154330, 85785291], [47444453, 9208736], [52685397, 3336386], [66016056, 36015021], [68495407, 15524140], [88481716, 72228609], [69709011, 98752541], [57782043, 76505777], [3163837, 73701771], [94514783, 2916679], [68254058, 94350920], [22561794, 34455324], [80712706, 50259633], [19741582, 92159668], [90270357, 89363606], [89609834, 64644799], [56793799, 84585899], [90263814, 77197858], [94112684, 78067236], [92860048, 37839226], [19159379, 85435951], [80926033, 16953273], [6534880, 37363242], [70160127, 12788412], [30802639, 91523934], [45930692, 56169937], [97623356, 80483649], [85148018, 32882000], [52026960, 57022304], [22900158, 22456169], [65255891, 55363089], [18886324, 50949435], [63287085, 72036492], [51473917, 70265385], [10547958, 97168026], [61643262, 51404812], [58604804, 56220622], [20951253, 24478078], [52258568, 37104277], [30252921, 78617844], [45265812, 46316896], [44416019, 11063400], [89950144, 27194116], [11669653, 37286338], [72432837, 821842], [42087800, 31332370], [53863212, 12666862], [68813927, 34677271], [65156316, 10894900], [65623044, 50302875], [92162731, 35949460], [30035196, 10134771], [9663942, 59087377], [97088007, 5732082], [31698621, 74449144], [13514858, 27631476], [2096680, 70990466], [62444119, 25654145], [94733342, 65781327], [13937295, 17404545], [94180113, 57161393], [76615825, 30282469], [67798781, 24728815], [68946581, 20003160], [59483792, 77515453], [76461273, 92098755], [81425079, 86934136], [34342403, 84748261], [76315862, 26505935], [84819973, 52550108], [18089698, 41465310], [4126750, 80471414], [62461267, 37663345], [97483022, 65608274], [90271706, 73447093], [57948032, 70242403], [19998943, 82695691], [23693580, 68692670], [60936338, 47776497], [4918563, 78307668], [78248002, 69151966], [75173359, 64555974], [99900283, 72036455], [94534067, 36938607], [13440100, 65383569], [48219907, 77208624], [65063713, 72121887], [21511259, 87255798], [24251153, 19949150], [68949977, 83774878], [85020796, 17124567], [88484255, 1000247], [17264770, 28217943], [21748797, 99462920], [87313772, 91466069], [93938740, 39832613], [56621333, 45101757], [18324185, 82373026], [50752091, 46868562], [18822452, 16423314], [18671367, 8635038], [10167603, 49759827], [36707715, 50862362], [83865223, 52206834], [47582863, 42532095], [79426096, 29502848], [42499904, 7711892], [81754698, 86663511], [88729849, 37241710], [57975536, 94381965], [47547865, 71749790], [64047957, 62976705], [40294646, 40292978], [29403860, 55381295], [74894553, 70257537], [84513099, 16098572], [88064997, 73074970], [73056239, 61014440], [41394244, 93821473], [6284663, 1151477], [11584370, 891885], [11073338, 29117486], [47465387, 26708694], [941681, 39514538], [50922349, 9002255], [26016649, 70959411], [19764743, 95081555], [22705269, 38681929], [73223648, 50511926], [61484980, 69378522], [145785, 58992982], [57026076, 16582633], [49934678, 18631289], [49133327, 90872482], [56109456, 55322052], [78164699, 66105769], [6739429, 48071749], [80365756, 15510328], [38191061, 71928957], [7962781, 79866462], [62846252, 34441716], [82239387, 12768916], [77412342, 23688282], [18972316, 95024612], [163771, 53342408], [61114255, 37894935], [57893158, 84810092], [23184927, 22941999], [60236651, 52155457], [7248345, 185588], [61249268, 23171598], [35739172, 28347470], [14500442, 59388317], [82043692, 19710112], [76830733, 29962699], [35060073, 27032318], [98206365, 91021867], [99655283, 3379460], [63816028, 20372834], [77351665, 78464920], [4407664, 60512407], [21778501, 51599921], [48575559, 71879118], [2071148, 95796352], [9406642, 36649464], [35578049, 78734217], [49078569, 34351430], [37635060, 85364410], [99961274, 81445774], [19661746, 91878446], [89537431, 69545530], [81069647, 56589593], [99626528, 76184942], [23601215, 68356561], [79724245, 5157369], [56365451, 5562679], [7837020, 56319769], [61474626, 68862844], [54735608, 24758832], [58530307, 8192950], [12578668, 57659173], [1975839, 1876144], [13750496, 50238331], [76450740, 90228640], [4787839, 1212558], [32414429, 98852045], [81972293, 90694128], [74533899, 60929538], [79383727, 285042], [18839182, 53113865], [33867968, 9739657], [22801588, 7177317], [2362385, 93291594], [17861288, 12324707], [39999724, 77406575], [95323125, 91775183], [68886897, 94994233], [18466794, 94469472], [77751897, 12110700], [51079568, 43740193], [92151737, 12962591], [23102869, 85436355], [15173925, 13319740], [45140833, 69965150], [17217102, 39273708], [86861312, 8980751], [61218101, 86655699], [84158286, 62672760], [62627761, 80597374], [28470500, 55121477], [6858436, 96893142], [3194132, 39513662], [65312200, 7532442], [48232807, 50874753], [8274911, 95119275], [92315027, 51937038], [25196536, 50999667], [851927, 7280177], [50096361, 44982677], [35626130, 10576852], [82616751, 44010105], [91817985, 93885143], [14300706, 47414975], [42675073, 67953894], [97398973, 56621990], [89195439, 42457739], [15589042, 572299], [6769150, 73615479], [55510903, 85441514], [51693406, 30226690], [23745613, 39420236], [44170513, 26169652], [84300645, 17327840], [93797867, 83126555], [81465495, 32833569], [10790876, 10810642], [87514227, 46964349], [64633769, 16958897], [12894909, 88241252], [31032006, 54176134], [11044154, 73803288], [83154770, 83928809], [51565230, 89119179], [26557617, 93410817], [12602193, 57371558], [86201787, 71569222], [28341566, 93614624], [77137062, 77196390], [39762373, 95183546], [5426213, 81075645], [91495548, 71231298], [89020933, 94519220], [47503044, 79338290], [97217734, 82210006], [73070481, 54009323], [52326618, 49664150], [39689700, 9373261], [14352000, 56417483], [83988603, 94126777], [74127107, 74216484], [21575937, 30677319], [17976543, 24063462], [74114043, 43150888], [13516198, 5555954], [37588813, 68347622], [79715812, 92155241], [15803124, 48925925], [40881836, 40143652], [88168402, 71469585], [240095, 26374186], [9397640, 59508270], [80803697, 39078886], [15286472, 36493578], [31768232, 21393378], [90528275, 36165105], [91078246, 26004833], [26083990, 48468025], [18501186, 41595595], [64594877, 71994407], [43527344, 59358453], [23123028, 85507739], [74793310, 77888933], [64653716, 45715299], [5049964, 25381680], [72137190, 75607247], [85184547, 14434310], [80289603, 67008557], [23211777, 24475330], [77791838, 5963213], [61113431, 602371], [88612666, 74245454], [73757095, 3399692], [78723167, 14467172], [42988007, 35301106], [82493019, 90146286], [42912661, 28497956], [97730546, 13191299], [26520361, 2266439], [28229808, 13747652], [45593266, 50828400], [57702071, 36017448], [90014601, 81593482], [88527314, 2051947], [14151555, 41028788], [55437492, 4307186], [24660705, 59559410], [78339766, 13620038], [30485198, 77381169], [4361924, 61652550], [57739660, 99112605], [70196257, 58131501], [73999929, 99098362], [63445153, 30326703], [54166899, 44562931], [95961556, 40282794], [5142748, 21808499], [57080789, 16311354], [70443419, 90374716], [32043160, 26401176], [35433889, 50549784], [91983407, 56274770], [26672917, 38605341], [23882795, 14667883], [48269549, 59561162], [89845828, 57404554], [61558613, 28121500], [10128122, 53599472], [79387313, 14921220], [35081901, 76966631], [77248193, 6211525], [27489864, 69955613], [69992117, 7589212], [43288172, 33585756], [24080290, 30366100], [92672592, 44883912], [89816071, 32013954], [79208078, 5897107], [62655221, 5976], [51497961, 94078885], [47499841, 95286793], [2258404, 88864363], [46799414, 9119026], [76792048, 56200487], [55752060, 96033654], [2324766, 40980379], [82155200, 90843983], [51371587, 45948622], [60715201, 79615898], [2611532, 32248151], [2619252, 79128081], [29557495, 55091374], [95194561, 1423669], [75662464, 6403545], [89289671, 91570048], [732398, 86202794], [2275400, 58338063], [10845401, 9544553], [49287466, 28559747], [31843484, 70743938], [99061450, 46729876], [20268232, 60584648], [61905378, 32129818], [31065480, 13330376], [80015237, 88064451], [63452840, 91624623], [34086370, 54572693], [27078378, 81226649], [66310652, 29177178], [10532576, 48552547], [36472037, 91324372], [50718646, 89667906], [14443993, 8048733], [32061648, 72949029], [98179049, 12988127], [32858496, 55873294], [67681274, 67517502], [47836205, 38962793], [52811828, 74413074], [20920161, 49380755], [80081699, 52728035], [30630607, 72650605], [41164348, 14471599], [32664559, 66715407], [60490407, 67594481], [59397761, 70948310], [15360681, 62132282], [13007497, 95187117], [21760445, 32622790], [89463797, 97374084], [2250772, 67846581], [53802652, 43739092], [74666540, 46422600], [19484379, 58711633], [86654293, 21922305], [61578932, 43863316], [84281021, 72652967], [40009126, 54649910], [72384973, 28705931], [1056978, 57258016], [88365486, 9961968], [487863, 5509627], [10524875, 22277736], [11147560, 8084623], [50004990, 28844007], [94419744, 50639478], [43955939, 19702718], [2461079, 43174196], [2162708, 73094452], [86949408, 93234091], [2694304, 54183775], [13183886, 41296754], [4506844, 9528093], [84651986, 70099325], [17055224, 18541547], [9074163, 60730903], [89048157, 98445969], [2128690, 58912045], [73045095, 15591962], [22037218, 77877762], [95592889, 81424852], [19372518, 49672006], [57573288, 83549122], [33542812, 43110391], [60666476, 40219782], [89710942, 74126678], [72935053, 46431568], [82163439, 60776339], [60707349, 26532910], [99296598, 37107888], [53441029, 79736873], [74483710, 28652903], [46005326, 61004053], [69271200, 11956181], [31213529, 89695967], [89402121, 98999695], [54955622, 79722255], [29136378, 98333618], [72677840, 88427050], [9381713, 80361801], [30114316, 13184285], [28373308, 38816481], [39130815, 7489034], [39665541, 35531388], [46215585, 41034310], [86264830, 80028154], [92371358, 29257094], [29434848, 67244062], [36881214, 44808974], [7153477, 43031429], [82863907, 73182718], [21975797, 21495525], [51331899, 25877167], [99271110, 17129781], [65926492, 73504261], [32031900, 72637529], [32635071, 58681277], [33106866, 4441954], [72911287, 87094246], [91798508, 39781796], [38099917, 66216905], [19255010, 15454313], [42355364, 14525279], [5039073, 84814832], [20028101, 52876440], [99481326, 78825514], [44896261, 36415269], [12384690, 42824506], [21011938, 97117222], [30701320, 19272275], [88262869, 79474641], [70915787, 4713541], [21631699, 92926983], [3361186, 37179582], [45154468, 94166139], [25722224, 73245015], [55688252, 93696091], [50229136, 98568065], [93773222, 46072091], [41285492, 52736981], [32606449, 73019552], [22389743, 21090900], [82692847, 19636069], [11940911, 44378322], [9259397, 98358039], [26830847, 31173874], [30073766, 77041902], [34307139, 97079054], [96170701, 5539646], [58164942, 47856438], [80679654, 44868847], [17867106, 20576588], [64555654, 99793883], [35427667, 19091225], [23059369, 15093602], [79028968, 13842069], [87249182, 33055307], [96050251, 41948225], [25647505, 14733616], [59424898, 78720024], [97734429, 79888006], [49269915, 19638562], [92825624, 46901502], [40854938, 34360961], [6047519, 45779447], [19253004, 80561010], [23422277, 94888707], [89847058, 35104754], [31598541, 93075579], [13923906, 32803137], [95401468, 30498737], [84026640, 39832], [89366329, 57718884], [31719095, 85053635], [31095331, 90362756], [11986621, 59731351], [28695771, 11268333], [69148317, 10104395], [28304260, 42965704], [45070675, 60391575], [40851405, 80554297], [36630483, 54142767], [26727418, 1989950], [71858477, 66272772], [51410206, 38150809], [7894022, 97760497], [37449379, 70770093], [19111453, 1331581], [30470513, 58707047], [1128638, 75714400], [63519200, 8192932], [72189767, 99866049], [53710974, 59502424], [17065556, 28723521], [57232668, 79464086], [42311753, 81830379], [45035180, 30537183], [97855129, 75485255], [70579608, 12816689], [11993045, 63373137], [94044007, 96357596], [44760954, 31957492], [23338006, 74399288], [40742176, 42956072], [3668324, 44103378], [89459383, 93488733], [83494827, 41166473], [44435336, 17115854], [75095653, 62817785], [38115901, 47306195], [35580823, 93631239], [31817072, 35301137], [43331192, 85840498], [87743403, 82549611], [76553348, 22827107], [68236229, 77343800], [41616824, 46633774], [23902798, 28491711], [86570170, 99254013], [93586800, 79065938], [98420202, 28508561], [52183243, 25495215], [27392416, 8213173], [93421320, 85815989], [73445259, 97652665], [3154473, 78982251], [60660462, 52595232], [1416550, 49015562], [73022338, 57238360], [15434938, 32618992], [81534901, 2962621], [22981285, 34597276], [44576888, 54208883], [58619219, 55083650], [42868189, 60663516], [22575119, 77836840], [61548129, 92670014], [56021544, 7432734], [97402902, 89160132], [64857915, 42489858], [23838335, 17787212], [7922236, 69189669], [47103121, 52005777], [41758563, 75363111], [62481678, 46169143], [3220386, 63565043], [21131766, 78218611], [21930786, 26766787], [59512175, 79715688], [66449844, 83526725], [1071105, 74945781], [38196304, 79657384], [68460578, 95750974], [65888320, 4406336], [44292469, 95533900], [46214636, 86046945], [79535664, 29697415], [93581173, 95138509], [4203717, 10246292], [3024204, 53757204], [62935409, 49488063], [58350787, 67748857], [42954136, 64424787], [21426994, 59510877], [39245185, 7793835], [95006784, 43597812], [90429439, 28772031], [83801630, 34412122], [77438202, 73081747], [600432, 61567303], [47986740, 47309237], [6420611, 7239958], [36543562, 11238244], [85080557, 75186073], [30468003, 4033401], [83439013, 92763653], [85981024, 13093859], [46908726, 51644330], [11992237, 92140589], [96801980, 12374072], [57841316, 51893077], [69313313, 13999885], [28934327, 81577497], [47237051, 48924737], [75424631, 23313651], [84996735, 16530097], [3952990, 49432582], [71333627, 44198624], [56977422, 7947896], [72010856, 18432730], [7193908, 91876978], [86958791, 51586218], [63819212, 54291926], [62309177, 51636888], [85340781, 42598168], [72955493, 66234642], [44058160, 40947641], [78432248, 73907577], [4013666, 57853719], [19388923, 36153660], [38483468, 96765221], [66891657, 56737986], [67308817, 53720269], [67182100, 97427917], [16601514, 22523684], [51402645, 9842492], [44061120, 36490784], [96413476, 85871528], [44619236, 6330191], [84765766, 96004146], [78799124, 68469921], [3825183, 7213034], [88336562, 45709256], [91943214, 56053706], [63930436, 75364220], [1629997, 25178656], [87725578, 57228057], [93935680, 49221235], [5624818, 32382110], [38889317, 16526620], [35145961, 40079156], [27795426, 48540563], [43929144, 73133822], [68637396, 31672941], [44846854, 43242350], [8475627, 20093715], [60514221, 45002406], [94779113, 24438536], [41451903, 66382499], [4330819, 42361948], [9414954, 63842143], [40267037, 76209737], [84416470, 72320882], [44442433, 65186807], [83434506, 4932322], [90504447, 56669159], [6815313, 64866667], [27937449, 78291270], [55825125, 53159228], [98333601, 14154695], [28496803, 4994644], [95319872, 76481768], [31256732, 87367454], [64544664, 64410311], [10633808, 92349891], [24655138, 40033393], [81865813, 96609482], [87424475, 65055427], [66427071, 87210030], [81295130, 1429890], [32782403, 73605973], [5616891, 45694385], [71725790, 95103327], [26564598, 55111126], [66580810, 6698976], [27092829, 27098503], [31671988, 17903536], [41191114, 41738521], [598907, 53230768], [58091782, 71035461], [9749754, 91415458], [53779423, 77816150], [27836113, 24843624], [64983879, 89996651], [93889396, 38857961], [68503294, 29367306], [56149585, 73264890], [8885810, 94584536], [91349062, 77577327], [65577948, 39090221], [81179008, 1500487], [76504764, 24465], [82299572, 50582345], [46284613, 26974728], [58149310, 79439818], [75384593, 41872502], [9172060, 22988895], [66670099, 17877694], [85188550, 33116661], [73209934, 87336305], [49147644, 31326724], [28025119, 79697339], [12949619, 65156336], [40139762, 6262615], [68344079, 39910236], [65206109, 22282273], [61480591, 6393962], [86486904, 59220115], [70426706, 11556343], [4703591, 11993894], [50043679, 43867101], [92455343, 13899202], [66923518, 5803601], [98574236, 65122275], [46181113, 77223765], [16576212, 57620109], [9854609, 85370386], [17187604, 60107933], [25060063, 10535931], [16397899, 22296372], [47627378, 52698625], [82943226, 49985585], [8950665, 25995092], [89756476, 70052361], [34545530, 56070577], [50765314, 64962194], [92119686, 79170505], [92680523, 29004364], [90463477, 42107451], [43187664, 95884290], [20704830, 54135033], [33533908, 60499633], [36453153, 35230547], [80844103, 53655824], [58762052, 76573576], [19311137, 56071630], [30558629, 94795808], [59677068, 30170434], [64151620, 77255233], [2715359, 27366941], [88922947, 48830292], [76029919, 84082081], [34863079, 8201841], [16477788, 99335379], [35287743, 336101], [58959839, 7423827], [85902835, 31133219], [50295970, 20705831], [79036867, 26911123], [63295587, 40486366], [90038896, 40150050], [81492699, 11237867], [89767274, 78260980], [68800704, 50995506], [8037462, 72512302], [74443088, 93519099], [74289207, 27918258], [52153704, 6880501], [85371058, 35798599], [49221156, 5864367], [76410626, 21454731], [26321795, 97004791], [43641753, 20516388], [95125913, 35776816], [89008488, 87984705], [55530033, 28256057], [11089729, 41436366], [36644103, 78207961], [96272279, 83726403], [16147005, 447564], [94410656, 24040866], [65953205, 13681219], [47727716, 30093816], [45565604, 49850760], [76653747, 13609068], [58900618, 79457148], [84008497, 79641415], [3683695, 47720590], [27703012, 28885328], [82746516, 17371828], [81620073, 97380593], [34075974, 38946868], [70568676, 17853708], [63571724, 32209089], [2005938, 71490091], [23673520, 67122680], [10229497, 23772913], [94522618, 39301466], [93354943, 30220491], [16286709, 61395776], [45749578, 58682153], [73450866, 28818331], [32231678, 69385592], [75768834, 2963374], [40250306, 69423340], [20404611, 74088607], [21950440, 61900294], [23781487, 17651287], [3226526, 8373833], [63618818, 41766375], [94019615, 453534], [91245239, 2371275], [56136633, 82833076], [4965196, 9684522], [15892983, 14114696], [8684047, 18107871], [53765031, 39867528], [23549426, 95666563], [67031055, 45215878], [86210098, 28338482], [96710602, 22704086], [44932524, 71798535], [82744251, 81362948], [11249241, 59634829], [67362883, 44136885], [98086327, 50513776], [6038228, 45828792], [5793303, 75836769], [84448910, 77908935], [71461554, 21780167], [52027874, 26275822], [92241570, 72713398], [36619404, 87395722], [45415311, 28396642], [76517239, 7112590], [53807154, 47879438], [7368141, 23681881], [18702302, 25929615], [69642125, 47536833], [15065135, 89661455], [48580236, 12095502], [44294356, 99469097], [26303653, 13339231], [82696098, 59943435], [97587021, 46970336], [51987870, 93251177], [92809491, 8051327], [58014467, 94298963], [58025896, 17772989], [99819302, 31137793], [64080422, 77202890], [21078043, 37243237], [84208768, 64858213], [49341203, 77137931], [56869937, 15049199], [5794115, 4087615], [16364814, 36447428], [32876180, 21764023], [91421273, 88580735], [34841507, 17392180], [59659694, 8968977], [51948720, 37956428], [42636244, 61664481], [80079222, 2334968], [57051788, 4977262], [32419081, 36186314], [95894571, 40267658], [64955102, 52620959], [54472326, 49706756], [50179516, 16887621], [7278995, 40091979], [47752054, 27393777], [23195645, 55299817], [45534487, 89523486], [33929531, 83947316], [82189805, 19006033], [66399497, 65494853], [66138610, 98689710], [13888801, 32619632], [56435666, 84967893], [59116987, 37673012], [80408618, 64780614], [18170095, 8082666], [1384157, 59775723], [10415282, 14184971], [74678310, 70430619], [89333534, 66120452], [70350134, 99870187], [76399132, 55284863], [8344511, 57179022], [85942159, 2708720], [76604922, 83653039], [53932363, 78271719], [61625515, 37915112], [10114197, 87462667], [8785354, 23106530], [89594052, 77181858], [4763940, 97920780], [30149686, 32576197], [49333857, 13121859], [4665520, 9391264], [49815226, 81281253], [398717, 30896973], [64320291, 59499489], [146498, 62002376], [375809, 3480085], [45202376, 92582020], [2602011, 11760799], [17174851, 69770097], [76712729, 85366826], [37149211, 39902257], [50321512, 37909197], [90777140, 26828299], [94772496, 90422470], [86016737, 86919587], [95777455, 23379964], [21743788, 22974123], [59390719, 7796145], [80751870, 90657662], [7754131, 14121438], [30902304, 83381785], [78140661, 67966310], [85059560, 9912948], [70382173, 70339702], [38346588, 16796928], [21116826, 94791414], [26203449, 20633041], [56242329, 25290926], [52143387, 72974481], [1502913, 14836741], [615526, 61413086], [66130087, 64011937], [84954520, 95520468], [21665403, 65912997], [37514193, 37800612], [72055614, 93493389], [37458582, 71667622], [87160930, 85386453], [30438136, 56951395], [67709114, 15428003], [25261083, 24656541], [64813553, 10028565], [5970841, 44475302], [31606309, 29787903], [35444651, 64921571], [57367846, 77280939], [64747804, 24410733], [55790235, 69785673], [29833405, 75511569], [4578688, 90482285], [58672453, 22727975], [80608528, 24850362], [35272891, 16610835], [91891523, 52013820], [72495690, 86113669], [4772225, 63032538], [68079357, 96784479], [60423213, 9524872], [84133693, 93107854], [55232317, 11975122], [68114284, 61461888], [88159299, 81961619], [66206513, 24432172], [95027037, 80778340], [96655157, 15321522], [34044984, 58575848], [60455301, 87892602], [79468691, 75468588], [81654676, 21350628], [37392263, 24916285], [75667799, 89292406], [52538835, 78133980], [6706251, 81830135], [44455508, 28607257], [25687611, 35121384], [53714099, 18259772], [17014479, 19598998], [84906840, 34984738], [87665599, 79854134], [41218942, 81333300], [39887064, 68830895], [46770738, 3278817], [13308506, 46750726], [24523918, 64463952], [6053666, 1179774], [61742212, 12271393], [13746100, 76575610], [77538887, 23136027], [9602863, 36872153], [78137884, 36285279], [89628519, 59039565], [10336900, 41717663], [79354789, 2805377], [94643374, 79927476], [79276290, 65478322], [33835469, 8035604], [86184494, 24495054], [46936967, 5749887], [28775143, 58760802], [16373821, 87939972], [176975, 35596575], [58723436, 25811524], [21507695, 45875770], [37398408, 19221298], [47776869, 85193026], [70251842, 99499535], [65157858, 5085050], [65779497, 55357863], [78390236, 73827906], [25702529, 98371743], [34899728, 94889985], [4831379, 83261671], [45434128, 80001475], [82093329, 52233369], [32449472, 61327676], [15897163, 23581881], [43276691, 74937494], [38946522, 57949137], [52930079, 64233299], [85887499, 52123301], [14857989, 16533429], [12873821, 68360470], [40686515, 98456724], [17417907, 69183828], [10651447, 5798877], [2278506, 90954529], [22516364, 24570912], [13345414, 55148807], [61074672, 94791587], [78647096, 94944240], [597864, 68563725], [64662822, 10268762], [98434128, 80225585], [62580869, 64181454], [80814907, 14643343], [213059, 57352504], [42422817, 99061926], [70249460, 4368815], [43950865, 73141592], [8334400, 85276930], [69684867, 99276395], [69148544, 2330332], [8298325, 18496156], [45612967, 31351272], [62217928, 34143603], [24270053, 1887137], [46109792, 16904698], [23046079, 50638173], [27212560, 64294734], [2100182, 42864693], [22025956, 77506519], [4492729, 29383239], [15009887, 47860598], [17694497, 80386110], [37877283, 97968970], [40652475, 93275127], [18261097, 53919171], [41669473, 93519793], [92174882, 13429468], [78681048, 25943033], [84456171, 66629480], [72525744, 74446689], [73933367, 91366213], [75300025, 73496825], [12366249, 6590980], [80526612, 60610405], [82224200, 24251836], [3682500, 4493338], [61998758, 17256734], [33764237, 5340115], [59506119, 35643749], [14657932, 40742636], [73417490, 7949448], [42089205, 81269124], [88559800, 84372822], [37059879, 52279136], [28230012, 9533466], [9167567, 55177441], [16594014, 58076263], [21447342, 35325745], [56213175, 67543144], [11178124, 13142624], [6466841, 20742336], [17126777, 85104944], [80313343, 36553908], [70458964, 24965598], [10858073, 55482916], [69583422, 53166098], [79830639, 83009006], [95575180, 81618045], [58769052, 99216627], [4804594, 80148780], [7456203, 87857627], [19961991, 9126990], [93144851, 70640825], [8343387, 89400969], [3188660, 99406575], [95395700, 2068002], [92653117, 10395816], [37385426, 72893704], [93592426, 47725811], [84747252, 66176082], [34623934, 66308096], [42758516, 42334147], [26397353, 78802162], [54642802, 43088219], [74675274, 81742981], [27916880, 54445303], [6608490, 9039424], [59123273, 64994033], [84604550, 13042785], [82282074, 99908151], [96830685, 76782245], [58530608, 48422118], [92152943, 60980009], [63025025, 29699635], [96542822, 42235368], [53720583, 49949484], [97473833, 24783868], [89837517, 70719325], [85243628, 46566492], [40319514, 27831061], [37702126, 80096664], [75567292, 89890044], [5475751, 95045725], [2394107, 1652003], [53626542, 36563086], [85406469, 9638034], [82589570, 90746564], [17533222, 29921522], [37142673, 30982178], [70937774, 24705299], [17132168, 88696818], [21407969, 77654339], [73128477, 48304420], [10754899, 2243782], [1730611, 12686972], [52182108, 25991903], [16834916, 10568187], [95231652, 44471465], [6365345, 90021199], [73344909, 39209530], [55323129, 74049399], [92964383, 37910645], [63461605, 21507933], [66363700, 53841199], [73034289, 3987367], [39623849, 98166840], [84728421, 80401421], [98398363, 41162303], [16875921, 79563667], [92290778, 56081848], [41862181, 34910915], [86525978, 8852232], [33438383, 35809943], [85913132, 9671876], [18123669, 38508287], [92470021, 325340], [18370097, 71188389], [585240, 1647233], [57137426, 22733808], [51173602, 55006748], [67480299, 42228062], [76301445, 78637604], [89302201, 52676637], [14104339, 41550488], [51121935, 5182733], [64923006, 11195218], [92495148, 57958343], [49062085, 19022341], [7126483, 81304971], [56895909, 72287245], [21832479, 2798302], [93281714, 98829449], [31064548, 73227484], [39485356, 86663719], [62406723, 41750149], [17003058, 6160920], [45902273, 88670558], [62221909, 56913189], [83758086, 94316993], [11576974, 35680792], [64499129, 53532458], [61110162, 36800064], [75165191, 61163689], [5395971, 43136604], [84015218, 7813718], [5977661, 18252065], [81110611, 35287762], [97420925, 80833874], [23590360, 34687704], [61167558, 99855628], [51519362, 32730179], [76391767, 69058534], [33652226, 76763069], [67394590, 12858146], [78884592, 75450726], [54504314, 92100103], [46738914, 73384143], [43014373, 40735686], [85144579, 83571998], [19443018, 30589928], [81551933, 29188501], [43033213, 73023232], [92709207, 92460615], [56283290, 58334054], [96391977, 8518644], [9817394, 99736373], [75073720, 92173178], [41434672, 47519553], [67982994, 79418699], [90029923, 32385597], [41008153, 77948024], [66024595, 12263839], [46550002, 69072244], [23699598, 28689985], [60669904, 36788912], [84214759, 72706783], [14282880, 79255875], [1887599, 44267305], [84680081, 20069954], [12324488, 23331386], [28442409, 9250771], [92477608, 23983877], [20876837, 42376357], [64277060, 7920170], [72832255, 3378101], [42904877, 12272568], [96661126, 52018085], [57088053, 92975154], [66166117, 30810581], [55564345, 77484617], [82991776, 5234340], [23755315, 38414132], [31660725, 5213070], [30618994, 85883423], [80970746, 45561904], [13925621, 28426019], [76928033, 70407378], [10177265, 29033434], [15792327, 52209621], [47115060, 33962535], [22328174, 5915430], [85103479, 70058466], [68489513, 20451945], [77651548, 1395070], [27196656, 65815402], [13864863, 82087138], [11852474, 87344918], [3594903, 42193377], [24329147, 25971316], [79388651, 40896413], [82229979, 7313579], [27894596, 39102374], [23147756, 25585362], [27176540, 19639580], [45932817, 84373876], [13185625, 97858391], [18586386, 83613856], [16513854, 4398018], [32219095, 41499421], [66912391, 53348880], [25116212, 59224318], [66598522, 63572483], [88239703, 51539766], [51046610, 18076765], [18212227, 18972566], [5314858, 3095741], [58746553, 61197077], [80180794, 62602949], [79268670, 76156113], [19442558, 22323943], [96283589, 54465640], [43255019, 61560297], [7329421, 78674394], [56619506, 29666695], [86170900, 14032887], [77402605, 86851985], [31996002, 62014556], [4682018, 29493194], [69633224, 32475289], [7019828, 82318178], [36008412, 98246834], [14771495, 32151106], [42602871, 4680522], [89186415, 5376798], [48805211, 31730469], [3896347, 6305984], [18106055, 58405024], [97710331, 20224887], [8415312, 82600837], [25667462, 8598519], [45704472, 28421279], [18402668, 67564298], [37355659, 51461606], [77355834, 18136133], [87058900, 71279378], [99519845, 97591861], [43728578, 19462169], [28776514, 35824188], [95106282, 18701546], [98554205, 41371647], [50657049, 99095458], [95861172, 5585310], [39717321, 9689158], [9470440, 57574584], [31989342, 80340871], [81566592, 39609322], [92529889, 79688466], [76585056, 39201580], [77184444, 82399004], [52441959, 41160714], [6329209, 53270852], [18265052, 54594291], [3443042, 83852886], [15423757, 85003738], [10122409, 84315360], [73987005, 39967623], [25995144, 46580538], [67381302, 19330145], [68804464, 17580027], [35408494, 43100372], [99515135, 55707312], [8416206, 98187837], [51520400, 51564732], [85100020, 51586122], [34458653, 56493066], [90333092, 84558602], [84636936, 8928905], [71229981, 30750075], [42588208, 11090732], [23192118, 86372713], [87211020, 60590838], [89692744, 16357346], [92722447, 41155303], [98648306, 98554481], [13816125, 82791266], [5025172, 49790501], [98213740, 3742667], [49095292, 34881090], [20268087, 1347819], [95220312, 95503364], [63014670, 6657919], [92500744, 84051952], [59558750, 42110715], [35908974, 53776254], [41797596, 11530909], [39881552, 23113261], [14054262, 25625153], [57737329, 32383790], [37356871, 67268458], [3435891, 55779442], [43243367, 65668788], [11230345, 75900599], [29757255, 3766496], [81198823, 36223696], [44282505, 42929432], [47158626, 32048466], [46441774, 75496731], [41355589, 51288518], [98273958, 24368855], [87174572, 23637280], [8554987, 11228330], [34093769, 50031565], [95095353, 75404416], [75287444, 53615167], [47662840, 32049095], [51164830, 13817345], [36812757, 76671319], [25498104, 24055179], [24017843, 73733062], [96027610, 31023218], [93049301, 51029948], [40008956, 10584875], [46966627, 81822222], [91389992, 32956545], [6896941, 55534552], [31488684, 87803579], [67338979, 82244510], [21072001, 29433417], [49877389, 50569620], [84819652, 55263788], [99057808, 67031433], [61094008, 98043010], [48288892, 52244369], [24447974, 2292618], [19996881, 98734215], [94580708, 11420972], [24105666, 9536470], [51972910, 63986099], [75550917, 54396819], [58046162, 47149237], [97854860, 43177104], [82153152, 30106495], [62613968, 13751667], [10158284, 22137624], [96202496, 60670630], [31920542, 64108336], [46146884, 65976603], [96344125, 98160593], [75042673, 81555625], [43160878, 47028579], [30653199, 59134629], [94640266, 55444296], [56636937, 82091065], [82442440, 76557981], [25468894, 65286261], [3124359, 69021386], [23691377, 25242947], [86730311, 43229220], [27593626, 58634208], [375523, 58744362], [89690013, 79173870], [62452034, 52229084], [79343411, 87320963], [66194010, 51731937], [9985940, 41634516], [98087745, 11421098], [7140146, 67493178], [54559335, 51824661], [88213010, 3497887], [31132811, 68271317], [90808965, 53552841], [62292782, 61389658], [10705985, 48374438], [82986099, 32416073], [81588210, 88360956], [61322263, 43257073], [34135362, 84178390], [60947690, 47942518], [28254998, 40560230], [62240191, 894116], [60180841, 14281485], [82822233, 13522774], [12937248, 10099586], [70723014, 28815510], [5211632, 82323857], [87912080, 33826634], [77951872, 93197754], [11619735, 29620830], [36905404, 88418521], [64564513, 33635642], [27855934, 72032653], [44048606, 75766927], [14384554, 36196371], [16613011, 70763195], [27839589, 4791760], [20186920, 95643180], [94046621, 95530501], [63379726, 78770908], [33593907, 4273388], [42272817, 31262443], [64719527, 97121518], [96916645, 64422853], [12018451, 89509375], [25087655, 37853333], [70787127, 81856495], [74906057, 52114593], [70520518, 48383959], [81145750, 35634770], [23383836, 56889595], [77421262, 7721378], [14972958, 12352055], [23725140, 40623006], [90098877, 26867886], [76671697, 32721912], [67951699, 1628538], [20944975, 44385984], [46701672, 94128977], [3299954, 53388595], [86365765, 17345397], [59216554, 99554010], [65246343, 11312077], [39354005, 48607807], [71794220, 55465384], [69768129, 81038515], [69218423, 98773821], [94241431, 10534551], [34141061, 59060462], [16692762, 32295391], [44240199, 33567301], [21025140, 33103603], [77569407, 94220248], [14175756, 45938223], [76998009, 92618657], [66892690, 86402971], [59237282, 75574256], [91927165, 86131848], [24377310, 748982], [64451659, 35010734], [5770631, 39602502], [82509738, 96572449], [85943459, 89511678], [71814725, 18285712], [14185350, 48975623], [69655956, 4362849], [87449701, 48268069], [47711012, 68172768], [97139504, 32274048], [81322273, 89789101], [17463194, 22654226], [5107469, 14252112], [12889748, 93686738], [35683278, 92202771], [4611115, 61590620], [23578240, 42025746], [20446743, 75657143], [4605250, 31912280], [55736842, 94558549], [7611984, 71723762], [25384485, 69112824], [19971461, 10097065], [33347413, 43478896], [62692614, 43279603], [26036055, 47085330], [31687130, 51554851], [82632210, 64196560], [88893370, 48945653], [72433701, 88038991], [75513484, 31812625], [49011466, 61465757], [19087463, 35598474], [26240751, 80612149], [22910988, 57281813], [52508613, 18793415], [48594394, 37411315], [92500013, 7992674], [34669081, 15521711], [77394872, 18057106], [55242504, 35302107], [70868238, 85201030], [60546748, 64520807], [64165302, 49385316], [14511177, 17368342], [27737335, 26943168], [60121358, 7290768], [81668344, 67797022], [42284818, 69805709], [37606660, 65851300], [1477247, 73478319], [94487102, 49679907], [27257405, 91344747], [65479748, 3999055], [42821568, 4116021], [70455951, 73765775], [32729027, 2094498], [56688087, 71443055], [55783846, 52778178], [30963397, 98019552], [63795841, 44711340], [19634547, 88847072], [84375723, 53366707], [6696940, 94699708], [48647193, 94274571], [99645119, 26241196], [64349726, 17091655], [91531278, 39729429], [43172717, 89524634], [72150551, 56571965], [62250288, 72961717], [63143012, 49163012], [79236742, 68831605], [66569455, 15182395], [31076061, 98719105], [71147401, 11395977], [54781465, 1113006], [39710038, 60550221], [86772639, 9189496], [90978054, 7856188], [52058958, 16747501], [75111851, 7576510], [9249875, 93526969], [55020690, 44398752], [94800884, 65309615], [42550178, 92063498], [71072225, 99290803], [90398635, 77865643], [35569016, 43519553], [79817516, 47978902], [79844174, 97084035], [38747547, 85282050], [90612053, 43187923], [26002974, 63874908], [53050674, 51594598], [92054126, 416582], [24469546, 94396112], [94799530, 484741], [62730462, 23783156], [70916248, 95748338], [29060809, 997157], [42940415, 4415931], [20374790, 95367163], [22956496, 36652439], [4538955, 90012878], [93313916, 11066952], [73647734, 98338868], [81930502, 51989002], [55993782, 2534677], [46962513, 81477978], [49356051, 26325950], [86085651, 20373270], [8984905, 54303198], [63957691, 14372623], [3956561, 98033036], [37089134, 11005729], [89599755, 49938598], [27383436, 29094590], [73190173, 32846114], [81265612, 45318502], [25510058, 8383418], [10459169, 23545157], [49220042, 10473995], [67823231, 88560817], [96220629, 86339976], [54235572, 99788193], [65165426, 95193412], [16971914, 29480414], [5300164, 429237], [53119574, 11371590], [31751127, 90279793], [30623745, 67368301], [38584344, 42742042], [62066329, 36409683], [73745328, 28862506], [75255129, 55688708], [47509789, 66998034], [74617602, 19618603], [19993155, 63598596], [59703370, 60131852], [84975494, 73096790], [71313255, 91839221], [49558725, 11559973], [2214998, 60424157], [83658110, 57866428], [27248242, 56918180], [58886162, 59225511], [75122246, 19873628], [1672516, 45380465], [35325383, 67957019], [86356385, 73032318], [52247010, 37066417], [7968213, 47855594], [26149290, 97123232], [24757848, 19737758], [31643463, 78389323], [71714599, 18031024], [78542744, 10528610], [97118993, 76652967], [27701503, 91041621], [27626662, 24701268], [22972635, 84275656], [52264452, 13329779], [10029111, 38457857], [27188341, 19277934], [32750643, 50982238], [46680098, 75473451], [30537738, 73547943], [97895926, 99047163], [87495875, 66511372], [52843556, 78959867], [44740185, 60314534], [25611416, 73016102], [38964566, 25931453], [8110966, 68535888], [32671235, 7635356], [62579084, 24921966], [57710358, 96311602], [73485313, 19464494], [65533802, 70230779], [96416273, 72167548], [95412044, 28698123], [73019350, 10650487], [19820904, 20492388], [14522299, 51507283], [62380892, 76664586], [60227242, 15632718], [74432302, 30444021], [59473382, 49824402], [73282652, 75943543], [32878676, 46166664], [74404046, 23040017], [13231098, 94375251], [89889849, 46394362], [4906304, 111205], [55605381, 88653367], [81957964, 14059593], [73461296, 70127261], [4657758, 2445886], [51573343, 29299875], [35811669, 50313040], [12711851, 69673207], [55566252, 96965009], [33623465, 50908629], [30582027, 53096197], [32008166, 46478652], [75902786, 47697891], [14945264, 62856587], [80295613, 75267702], [71781229, 18753237], [73887003, 67061346], [68484080, 80638920], [93046385, 85132031], [70172052, 50024739], [58157668, 33426703], [65390626, 167522], [69335688, 44379665], [15622513, 55652911], [47389260, 17385991], [51380060, 38307241], [66269024, 73548177], [6001326, 32087870], [39883039, 96222632], [22389739, 34444448], [65370135, 98421569], [2369371, 33824132], [88638755, 36502187], [97611043, 7316551], [46609847, 53691759], [75832645, 76909366], [65574278, 91772240], [11417036, 68876708], [51519161, 35842040], [44090347, 67338121], [5160548, 85661040], [16681077, 50986448], [8679572, 6481522], [56840127, 15667008], [18427766, 86782509], [81026873, 25344165], [29186011, 36395380], [44422411, 96626786], [40953016, 89085428], [11311789, 72762870], [71062398, 87969976], [24651250, 85959993], [82685405, 62960495], [36502150, 42617425], [39629668, 44053078], [85166767, 3881053], [8193829, 25143678], [47175137, 32064357], [19799503, 3382963], [92062030, 387814], [4926966, 18405094], [49544939, 20781389], [56755088, 9256652], [62182413, 7883322], [15093212, 7516779], [8798392, 62237560], [95732951, 47207671], [57885925, 60550453], [57184868, 94155812], [45468, 18655890], [87188488, 92065302], [82853772, 5191015], [54721696, 97069128], [733788, 64971069], [60206697, 59514275], [11861605, 17079214], [1468930, 18324978], [80111700, 64854918], [65391720, 43542360], [46318702, 61493300], [90706866, 13756655], [93207573, 15596772], [94268813, 23388746], [81537614, 88524862], [27420430, 71179696], [12084187, 61954862], [60535701, 62486481], [31495617, 7504379], [30947520, 58215112], [11737033, 85979721], [30822232, 20038461], [3126569, 51326612], [89534990, 34769723], [14523985, 19025880], [86528823, 49727191], [98611360, 87354737], [82161878, 51050087], [93467808, 66109732], [96214789, 47806045], [56519925, 38279970], [96092525, 52146614], [63913878, 44949896], [9819071, 65960629], [7610726, 91528431], [35163630, 20110408], [12505849, 74808741], [66090514, 66122604], [52914609, 52765535], [66062427, 66005976], [13434630, 55868899], [39517811, 77911050], [39062511, 62933972], [58232525, 64652384], [5926781, 64830732], [89202317, 20824379], [50903428, 22105433], [98314683, 57559450], [110970, 41605940], [23667604, 73564204], [99785599, 31462692], [8892811, 11850379], [28036853, 34585531], [54436943, 48779927], [78836285, 27914228], [2156212, 54967978], [1845988, 4081113], [22072469, 66243592], [47082642, 56793013], [54400033, 79713778], [53748839, 95322823], [60032215, 85084749], [98509756, 63258207], [32168673, 59772474], [59416748, 37920425], [12506232, 71044766], [82441084, 78455306], [46215315, 42970424], [5673909, 42223292], [33360220, 86079741], [7587606, 49648595], [53873433, 35357521], [61588801, 14511922], [20756858, 60162190], [84008099, 94583841], [74714351, 45525998], [24288444, 21413601], [37547294, 13637140], [78260591, 21423546], [64831437, 52469718], [48738095, 62959014], [38105071, 78045573], [31086468, 9369354], [83666535, 64691682], [45754295, 20486084], [76091335, 30088541], [43948663, 78278402], [4172650, 46136630], [9355772, 94921514], [47368108, 84731651], [84209591, 11469818], [3176045, 74526154], [6950451, 51618500], [76423895, 17471577], [90567205, 1824062], [89806647, 75716235], [27003962, 44352004], [84372121, 93140595], [27785477, 49505887], [19794072, 43602404], [18512670, 91390960], [29626487, 39182373], [15989517, 45488826], [13687707, 94864297], [81428139, 2375953], [46294003, 32894944], [76212784, 71429468], [52615765, 92246304], [9284070, 83200628], [53745425, 95327220], [55024373, 32015611], [55040714, 79707202], [63985576, 33464481], [14885232, 44116889], [8070240, 36768002], [5769293, 76684139], [34901644, 89334977], [55095948, 29870001], [73608736, 71056291], [84968282, 80220009], [4813765, 31671262], [97332815, 29957013], [85057303, 19086529], [69308952, 94162650], [56852207, 94702625], [10994674, 65794028], [14130061, 87030704], [85235866, 5941748], [26886718, 63619942], [98913199, 78563156], [92106787, 48353841], [82872737, 22195985], [7980759, 41620664], [20355239, 58402719], [74836414, 10161220], [36624855, 33743260], [39716111, 7210799], [42310720, 89378238], [26580481, 60124868], [50372307, 2106170], [56283200, 92538521], [95623707, 53752209], [27541936, 37483790], [23151603, 12037661], [81591851, 58023483], [55162870, 57461554], [29848762, 27318325], [17367368, 71219124], [19204573, 58520452], [90501467, 68489003], [49529062, 66801741], [69485114, 91159122], [43955655, 86297295], [1327141, 96018782], [65437610, 76134409], [72977683, 10997356], [20070646, 65986349], [99646370, 51457868], [50988754, 11416531], [16793207, 32986107], [95103807, 71434369], [21889467, 1913807], [44302983, 22808999], [86154314, 92400198], [96726242, 76987178], [80977965, 21969165], [85076118, 88365899], [20048706, 50355791], [68022772, 19786852], [11255695, 76142675], [41636710, 37368492], [17129703, 5803260], [61435191, 15978437], [63222825, 10305993], [92425291, 41813239], [12985452, 79195969], [83647054, 56178094], [77302387, 3089030], [65362239, 15758634], [23817281, 40918882], [99746387, 9288378], [64851521, 42709680], [41689340, 26299617], [47942265, 57338326], [72429334, 67606594], [2566310, 44450385], [30940296, 22108713], [57277088, 25310967], [39600619, 28837794], [81796122, 45274294], [38033798, 6117851], [80496990, 71547318], [20446159, 84389463], [50982496, 70023562], [73288750, 73435264], [71257483, 83388633], [22382733, 29790508], [80053684, 84984793], [88342801, 6781874], [41139539, 80396853], [55890620, 9240007], [87413369, 57036687], [35347953, 203867], [61323453, 45735234], [93177695, 51655398], [2864624, 49722118], [30712917, 68127469], [52628393, 14766997], [32292057, 5739994], [10550628, 41436481], [16522578, 64814218], [16648076, 27292897], [56712964, 22849183], [33038955, 95948296], [55692870, 2928524], [66522586, 89681359], [63024400, 98466548], [47370183, 42314244], [13844797, 54788239], [52888410, 76295544], [2644156, 59333633], [36988782, 80070924], [96206451, 22778175], [91144661, 37255625], [64236472, 54584169], [41246063, 31279384], [61160106, 50063618], [65598012, 79002338], [19106098, 30718187], [20899675, 62967762], [54774614, 44491589], [51460197, 86946232], [56635432, 2641580], [72245338, 78907952], [32626147, 194202], [88655474, 23661460], [36018712, 95409043], [75735076, 51942171], [38642495, 38080592], [47786935, 25896427], [99859420, 71802628], [57042408, 15695003], [83808586, 41431763], [61932415, 73007809], [35153701, 27010183], [13517996, 43580561], [61806448, 29541584], [31422115, 51003229], [72082723, 73473182], [48910867, 87526538], [19080001, 65760513], [18264894, 32449116], [91629117, 96277883], [51234973, 53865736], [57020520, 12152371], [44657589, 76112467], [466462, 36246832], [90967249, 98904804], [42113121, 11879531], [52647343, 93820307], [19188419, 76791928], [61652668, 28764848], [58750519, 68141072], [5454303, 49941151], [77678619, 37150656], [75241317, 65569488], [47531671, 14608683], [96175892, 83103647], [76036704, 82794955], [87894798, 55941577], [86408198, 16475078], [45105424, 82123311], [30785002, 58856274], [66718736, 78112522], [6346190, 59500109], [52752505, 6116841], [23179308, 4328079], [67080324, 15728636], [83283536, 62082325], [67694477, 83287378], [32859129, 63866269], [922016, 24488761], [28936360, 15737832], [51786566, 5743081], [76951056, 38411345], [59896540, 13104473], [45835466, 46290942], [26340449, 79797137], [18445403, 26850408], [96598975, 17327627], [9225776, 55795968], [50589049, 66804965], [50819485, 9458562], [13056679, 36073922], [23073520, 9454504], [58875641, 98728723], [50655438, 69465766], [81034869, 37710075], [7370493, 74036967], [71844079, 22454886], [92601118, 29686927], [70348283, 92735373], [33056489, 83090362], [21502933, 44708360], [28355627, 41968702], [97475721, 68885314], [99391840, 66210790], [58076753, 21209800], [83724410, 19754366], [71588658, 13800265], [47251200, 85554105], [39874610, 59499387], [96507402, 31257601], [64399783, 34371108], [18441892, 42191812], [5826467, 56937406], [34513299, 8705071], [18287981, 83047743], [99894232, 71605815], [55211899, 7173427], [77312631, 43933560], [56425328, 69501942], [94907185, 98098642], [82893482, 21795809], [6578527, 18126009], [50675419, 57174598], [48524550, 43125563], [84130400, 46959903], [70464624, 79888797], [13897069, 63389682], [11025746, 84339441], [79514073, 82186023], [41769347, 62973191], [8854628, 57459762], [94906622, 32778198], [13377083, 64423110], [56072540, 5179899], [40154196, 99786051], [13946563, 8826809], [17278605, 77417635], [63586673, 66421600], [83799741, 20359436], [68678873, 60861198], [73870362, 4673608], [95846000, 62037400], [22436893, 14270871], [60320759, 50328669], [19620138, 98593494], [81721809, 73973385], [95818186, 79683845], [58724287, 89585322], [10308754, 50478502], [63893360, 74804171], [37010545, 74015922], [25694515, 32806615], [54862376, 61046221], [44873759, 90281615], [10364217, 26979266], [61674570, 67159661], [5746505, 48207427], [65665301, 35582920], [27863506, 12431767], [71907938, 64485038], [62850868, 97110534], [18602042, 45649317], [40558615, 3117306], [73103663, 94777946], [64003355, 25570960], [76714765, 80194170], [17550606, 33174896], [61232547, 43484739], [36939274, 86984666], [63172607, 33679676], [70248267, 24687092], [65503735, 13668394], [40775052, 95852575], [90436805, 83082150], [51465343, 96681495], [23733095, 83793843], [48523702, 32607761], [25555192, 27472996], [72521123, 37172262], [49430162, 9895831], [7979411, 86615573], [30196189, 70126190], [91728978, 48298078], [71995084, 10385637], [98173116, 82207060], [48392602, 25394898], [33314733, 67219580], [91601648, 78934492], [12809598, 66236135], [33925520, 44047330], [99517708, 23418731], [94449337, 31631934], [92214919, 3316359], [86882713, 5401597], [50228584, 57517656], [22350362, 20527536], [78354242, 51418231], [45831252, 32660527], [31765661, 8040753], [20958943, 23316402], [54503473, 37617009], [70178699, 94310260], [48003460, 93348331], [96433575, 65152718], [51088750, 68871563], [56621673, 35018309], [59822939, 48092584], [27539825, 92861667], [84446422, 82414743], [53427412, 43909885], [75418197, 15015651], [20285070, 26063445], [54868737, 37854138], [34026545, 52377567], [82976783, 58494503], [21185607, 98495691], [69620926, 26677472], [33292797, 73912211], [50090610, 66878474], [20963346, 34367837], [46420102, 94329746], [57134147, 67931785], [28728367, 89842300], [60373265, 7705003], [68672058, 91720553], [62472242, 13127037], [32474946, 32215297], [45842050, 71100442], [98907440, 57778365], [49092230, 15996821], [582575, 80222477], [78152103, 69577706], [65433786, 35680424], [98253112, 53398429], [79117968, 1527716], [21410986, 6125492], [81074438, 82693341], [10078151, 78469719], [66156188, 43432566], [78448092, 61038017], [54290131, 77968945], [58455312, 59703631], [47748355, 21124023], [45726424, 3989480], [20115408, 52056379], [59038632, 5971513], [52812324, 97554794], [82118369, 92239275], [19902952, 69142183], [61468027, 94207900], [31146404, 92145989], [39688305, 27916694], [70017304, 98000118], [14880472, 29926244], [92497199, 46262967], [81730951, 16603231], [81397637, 9705284], [71933439, 26094551], [49462752, 32474631], [61562283, 20691976], [86767219, 16665914], [44040483, 77609870], [78254543, 98804418], [78558418, 61089269], [24884532, 33211691], [84263678, 97461721], [5103962, 15334218], [89272160, 40629556], [11113044, 89874931], [4474480, 42844034], [35415887, 84174247], [69703330, 31927256], [87152016, 51658317], [98520747, 35330209], [27065389, 32212037], [73611806, 24168135], [29481618, 22545166], [48906862, 40694209], [10658089, 91374796], [48263203, 29825331], [37755451, 41184662], [88927843, 61168306], [73283219, 99561606], [76432344, 69469356], [42656183, 54208416], [2410930, 81688864], [21779752, 16056677], [96565022, 8350776], [36493870, 23792825], [77870320, 48807711], [21933070, 78878558], [76663065, 61402859], [16733981, 16170097], [62392977, 69368657], [56250006, 68960127], [69953118, 92467722], [22906831, 87327177], [2086224, 74222317], [74229278, 47505518], [28529167, 50812135], [28852556, 85258435], [55693407, 70765494], [21905363, 9643813], [88152815, 2885552], [43390421, 71808934], [66036789, 5718464], [88856368, 22235861], [24544348, 74671657], [72184200, 6724112], [83747255, 43474929], [41825496, 21111218], [7516850, 48469190], [95967224, 2689659], [32922028, 90688387], [60222390, 96813081], [70368344, 83303418], [58638942, 15221791], [92952926, 11988466], [36310901, 72019983], [59701068, 32092970], [91867806, 65868535], [35295672, 44527609], [67341430, 59170834], [73952731, 23639819], [59755250, 78882866], [65634305, 21826972], [49586918, 31561340], [510695, 16469626], [49108471, 20366926], [19390341, 8436096], [90341523, 58337611], [61025880, 3772152], [19174813, 96267087], [6446535, 97349845], [95678446, 82948304], [61269820, 56969609], [38351686, 18447311], [59774620, 80061867], [69259812, 93954685], [32643375, 45193384], [83793396, 34293129], [53674883, 83492649], [80043264, 70874938], [22000206, 65327030], [4919315, 44698554], [28025771, 24195357], [90834904, 28683914], [1696443, 85093934], [27374709, 49709456], [92856831, 5950141], [58648855, 83100639], [37789199, 96176334], [47688913, 21553604], [47510781, 19126449], [78579156, 58417822], [33331374, 72403993], [22339231, 23620555], [32341878, 36191176], [68962902, 81278751], [55360793, 28793121], [34978832, 85807620], [47362334, 93937633], [97799526, 67759886], [33550607, 5656408], [25301918, 4296401], [64701419, 76971376], [22431760, 34408114], [27356781, 45080548], [11617130, 8505876], [10266029, 9679752], [58592675, 84067596], [4644146, 32604784], [64374852, 13267484], [68185237, 87004171], [45552542, 71765307], [5282682, 74856178], [71887765, 26300406], [75579369, 23061815], [92153721, 11950403], [37613397, 50624525], [98533424, 91343226], [27907015, 79246467], [70333395, 80112722], [80871447, 86988870], [84841595, 2691496], [73948709, 63385983], [94238879, 39237025], [68753439, 32601752], [71201453, 51084174], [47206481, 59286424], [70441603, 67584757], [23513457, 32606083], [25450858, 79605837], [28346811, 61890784], [82254421, 17284474], [6805836, 58979065], [33372164, 17669467], [49387184, 39886732], [84790798, 13517075], [42379631, 61602021], [72142530, 84128262], [90495058, 86391448], [54528835, 63849102], [10882120, 4239021], [38251886, 891868], [58644355, 36479239], [61489900, 67512024], [44735259, 50476799], [93942601, 71699005], [96811854, 25703983], [53798246, 40281337], [69248890, 81164408], [39807238, 27581430], [57172033, 31083630], [59554318, 23533815], [71463243, 50641724], [4757797, 25897316], [88010539, 74734313], [89729194, 17890062], [65759126, 51836581], [86337333, 11165638], [79196057, 99673112], [55527298, 24339057], [27774516, 23142465], [30714648, 3375508], [25484219, 28043975], [82624398, 86043890], [656357, 23581743], [78272943, 38212073], [3836127, 35613566], [63962095, 96589842], [89793973, 52198170], [44737155, 87686036], [17201201, 91880301], [42307913, 29447982], [93157403, 44115280], [15967969, 53997489], [53683846, 54683745], [43200215, 42048072], [99755613, 76790777], [46182369, 10149166], [71085534, 75557113], [53715854, 18396593], [94032739, 20942691], [86307044, 17124250], [20478608, 85463289], [49899522, 36719028], [66519586, 15718455], [44845094, 52983895], [11789810, 73819425], [51551119, 54537561], [93735027, 4806320], [60700412, 97079198], [64259731, 56936243], [71774569, 51636533], [5080968, 46882738], [37633644, 75721124], [52266650, 89567076], [64932847, 25031318], [76957902, 29872872], [48549122, 2876805], [25899632, 81716982], [4358514, 64248378], [17117576, 95637527], [24165452, 31455063], [79617389, 86639907], [30589866, 51673588], [65999934, 78042366], [29570019, 29709433], [85037440, 51043608], [4024483, 27004365], [62467067, 28226672], [93420469, 11315795], [8606930, 17210763], [76105230, 62693109], [52207692, 59729809], [92761300, 39229892], [44169081, 86867525], [32836025, 28305067], [56727402, 6037777], [66450090, 36699029], [99852228, 11409554], [82133263, 62166149], [60297405, 21179585], [79022273, 8990087], [56980833, 49211227], [4677717, 50098438], [46670890, 47515069], [79684553, 21551362], [54341347, 23360818], [96209168, 66309004], [17673577, 73630635], [47614451, 50843349], [75691088, 24325412], [67675806, 75953952], [31450072, 16627733], [46695818, 12999995], [41523164, 89830767], [70278230, 20343538], [93499667, 88436020], [76535413, 67213408], [80080065, 11770094], [94631996, 82441173], [76803432, 58527509], [1089137, 25021280], [60144475, 18043907], [56586626, 29348367], [49386282, 10319956], [68536691, 10160476], [89569512, 35489027], [86496815, 95198385], [71664906, 89827573], [59740680, 57769482], [42216384, 70569311], [61312857, 73717783], [19221574, 67068185], [9576237, 78793534], [77835566, 72623381], [32946121, 18327395], [26126249, 83992662], [40946781, 23056437], [35560526, 57018020], [59346860, 35114670], [56022085, 54683947], [46575566, 18433096], [52778675, 16250826], [92897416, 19932987], [90481495, 19216029], [75938782, 52083098], [21326170, 24019724], [81176398, 6716135], [65696007, 70780923], [20917044, 55567829], [922819, 76008910], [33434353, 61205081], [25855497, 8769756], [21478457, 10942379], [35059564, 60285422], [58352994, 13573208], [1242190, 1907847], [74347544, 61926611], [57714069, 99178903], [6921376, 2368657], [71341487, 66512354], [48415740, 95063766], [436043, 37452923], [13274676, 89671477], [80591134, 83633268], [20906443, 35430834], [6737911, 20235826], [92931618, 53316248], [65691613, 92406645], [28421355, 98252840], [84778677, 80832471], [54537320, 68826423], [8504184, 44528699], [12641510, 25763464], [11288589, 9146629], [14729019, 48688915], [68751191, 86194097], [46372685, 62734228], [80602889, 64970671], [73586356, 43720098], [84622801, 64095979], [62783882, 30599064], [90612872, 62735830], [17807754, 86080458], [56552011, 98759619], [32940168, 74928773], [52561294, 46867119], [70339671, 35362767], [14690660, 31144615], [74516158, 496993], [60714332, 81150755], [79949731, 33336798], [97446794, 59737572], [15314673, 86263166], [44967876, 21849624], [64083666, 24983168], [43254257, 25280401], [86036423, 39273420], [75242943, 26742245], [38299428, 96412496], [439852, 58709301], [96984734, 22866783], [63781231, 16272877], [23410054, 61032570], [71683071, 56736215], [1972258, 5262155], [39258762, 18505458], [55107862, 4931182], [17463604, 83275958], [13197021, 29079883], [20454686, 42464217], [660210, 58785064], [52807451, 13545699], [66526305, 92033202], [67839687, 61047417], [95118222, 35772028], [26470163, 99645957], [91389728, 82764292], [5791878, 91791688], [23303965, 11759655], [3842914, 79937534], [56575926, 72487689], [14895161, 84756096], [11077050, 31982284], [50997443, 12610448], [47097748, 73403985], [26741901, 10625074], [77032535, 10421683], [33849791, 33959403], [10759359, 6130816], [74858286, 16640801], [21958677, 4747458], [57337088, 15729757], [74125305, 6706736], [46331588, 9164268], [40862852, 98852435], [33188295, 52507845], [75336171, 47958969], [83312210, 4856228], [88634526, 9610072], [52288637, 14347723], [39114787, 10475207], [31265391, 5071542], [60945258, 10683173], [41807369, 40494223], [97340564, 7209162], [2453642, 47040267], [64550249, 11035684], [98222094, 11813943], [22038390, 62265644], [7111621, 21238626], [25418519, 96500253], [47859149, 57482948], [472636, 34730627], [56163251, 95118984], [12912646, 95969705], [33957510, 48801615], [39720268, 36667830], [10388684, 28837371], [26456753, 81870846], [94688447, 89865962], [88734335, 53574766], [90469559, 6942000], [807854, 25142409], [46760404, 11218264], [54366088, 25783994], [9829789, 92864915], [96418632, 54972449], [65731708, 19068512], [6633440, 93800502], [85754058, 30845264], [28895530, 78893338], [83746123, 47016227], [74240848, 22733073], [33701434, 62418465], [31289488, 53677111], [92828928, 30024782], [99160462, 36891680], [82295371, 84720009], [71042124, 93192679], [77768739, 821050], [93560235, 89241967], [60184315, 90729513], [29285076, 69603803], [33793184, 73607409], [40280411, 22421686], [28211452, 57135640], [62131670, 39346736], [38445740, 13657017], [65167293, 80499724], [42638415, 3812598], [64604534, 63825740], [42326821, 73076474], [1122162, 75464231], [4736558, 95432804], [10595847, 65698060], [10190835, 10165138], [13500185, 26959851], [69256515, 27111274], [5421866, 8882871], [84974569, 52454319], [37075303, 15067830], [31372448, 63899588], [10465201, 93335286], [92457502, 58689270], [79643005, 40219918], [95790210, 7853376], [46131200, 31465223], [96237660, 27244205], [59206162, 40002369], [74799312, 88596715], [70926728, 12034097], [21036173, 81131277], [95226109, 28900102], [55556175, 38930944], [29671924, 48050755], [88396441, 13075797], [15002400, 85630857], [51955510, 82643371], [80462795, 1957240], [46619910, 92439849], [99096394, 80486656], [5485133, 68997527], [24216348, 53371743], [94971884, 3032355], [66661438, 12554252], [79968655, 94923199], [90546005, 26415236], [21117028, 82062323], [98002096, 73459299], [10784571, 81344282], [62512817, 86890652], [58955295, 12841921], [61487783, 5693105], [76167803, 97036222], [37604920, 73580237], [3012348, 11086947], [34196663, 50235915], [38282254, 76009438], [18351122, 94593652], [46943821, 42000394], [90295639, 72040848], [86706366, 805939], [96352804, 42787317], [33103289, 44010058], [35403336, 34432760], [80667062, 66015054], [95349166, 63517741], [70081769, 43424524], [80094032, 3454427], [96197693, 66754732], [80449041, 45402347], [80855298, 53683128], [7472154, 73282915], [40455937, 69489136], [38330667, 85962881], [41275721, 3738925], [89507623, 52391454], [697411, 48322134], [96748039, 51170546], [43109781, 39435575], [9733153, 69196341], [20118470, 60038847], [94759082, 6708719], [81186834, 88820849], [48348019, 50835553], [75152475, 59469504], [48956054, 61002485], [1756098, 43640196], [22318371, 55274526], [36722526, 41924864], [77116334, 41718619], [46530187, 51145601], [21244200, 58615430], [18733776, 87328822], [70766705, 30987812], [21570760, 27347874], [39759241, 23426870], [66255976, 13962226], [35542541, 6335854], [64632505, 61587177], [60239890, 22849398], [3758542, 60289167], [14487442, 36675079], [58570390, 51573608], [39245164, 39655023], [92913076, 5613007], [99948506, 90746138], [9559572, 9039952], [86915944, 80571622], [70756603, 31871067], [5043673, 60973251], [19959879, 18896055], [49889461, 41265127], [21831921, 88481243], [92431700, 32568401], [85481647, 65292087], [41215410, 61843723], [11548225, 696669], [51976406, 44480317], [81263902, 11546140], [13537806, 34592689], [59000941, 6510627], [21092210, 55321151], [69419357, 99539194], [67186483, 89049113], [78257802, 15469945], [50729981, 52528913], [81534264, 92731489], [68080154, 81247004], [64901834, 78093257], [55818945, 43124747], [91844079, 29900252], [46095398, 55611763], [88797939, 40051339], [90635892, 20551273], [12941072, 35267062], [71255423, 42684910], [92414759, 17120811], [24471322, 91271018], [37320108, 27721429], [2090109, 42499641], [61566573, 51153771], [38447384, 59696116], [95148795, 36355020], [50737253, 41359694], [58774516, 69749313], [81669969, 64452941], [58900348, 48000000], [46504975, 61757391], [34284604, 98980641], [45257471, 45429917], [20548650, 8427753], [40673359, 6352206], [33576711, 42588752], [15116813, 72481142], [82982242, 89710273], [30092890, 1834121], [84528138, 63736066], [92435715, 81599593], [84546246, 26788523], [16409091, 77944924], [46941771, 70160090], [40655249, 52086898], [35856255, 76790094], [838127, 44344579], [67622396, 43462196], [42854921, 45591269], [48281040, 75050270], [4191538, 62523983], [476315, 39736619], [79974200, 29151391], [90075523, 23292336], [52650513, 18597107], [24712665, 10406587], [45098194, 46961667], [47289069, 19346733], [87845745, 21823521], [79177260, 72909967], [13900555, 24114345], [8688842, 41607471], [31678131, 64097181], [62568043, 8109863], [16866361, 45910643], [51498308, 22193167], [1101098, 37499456], [83791084, 74807764], [62019093, 69914099], [49500602, 39298527], [30494282, 91709413], [43033339, 94701716], [9553372, 26087196], [69174166, 39692962], [53917374, 71177027], [56100566, 16347600], [59194243, 63199323], [89010593, 16346592], [92714624, 1168940], [22026029, 63894198], [27478627, 53924338], [47604434, 1549116], [10010817, 77941812], [41667570, 24950615], [97364362, 27797942], [39702206, 13888931], [34101783, 41868558], [62862500, 14792636], [30627966, 24373887], [89327640, 50784820], [6915806, 97760688], [91307184, 42968288], [43666611, 49651237], [6515315, 80517130], [9568457, 89106412], [29736568, 69036760], [66393391, 86188247], [47029258, 71410155], [56657409, 70919290], [20433132, 85917909], [34049007, 95213985], [88863079, 8749586], [42663046, 92826737], [73556946, 21968085], [97645247, 78733318], [16877617, 37266745], [48055729, 38943645], [12186090, 61833279], [51943345, 21954730], [86709197, 90321372], [61939479, 80429599], [16861244, 10466264], [37371381, 52668955], [97077176, 27683519], [30998923, 93280000], [45753698, 83236167], [99884910, 74421943], [48133006, 37484167], [50206171, 84669811], [37909618, 96804933], [22518309, 32804949], [77612842, 76382158], [2134787, 44157316], [29736586, 36390394], [91146417, 33451881], [24992334, 6201105], [70208459, 2753682], [89108831, 48354331], [62848647, 73953877], [1905749, 91843294], [83962375, 58533711], [36103964, 28640505], [79671725, 90964547], [99454582, 12381481], [34612683, 40506204], [41111312, 55958908], [3269577, 14937269], [2358829, 78855263], [49430622, 28026330], [96087860, 43037925], [85113521, 8220474], [53254102, 63846637], [33890082, 70388477], [77291941, 61303484], [83775940, 18060773], [19009954, 87887280], [47778725, 6776656], [45730879, 26738884], [97022255, 88107562], [55058810, 66314341], [74929436, 22371657], [88828387, 60052735], [43079197, 85362650], [5266346, 48935493], [20565684, 65451196], [83332091, 69403426], [6968028, 35430733], [60168232, 48507879], [47921227, 85950881], [93058999, 3613708], [89272486, 75016195], [35065226, 23979452], [91917095, 44672525], [37659107, 71022562], [75835616, 56534960], [85781777, 27102705], [96722544, 57376032], [45336072, 95399313], [97170063, 57576964], [79800698, 85006779], [86533111, 51877583], [34213440, 55181855], [77147897, 95262044], [93911168, 41341790], [17589446, 39410230], [28174611, 61398508], [3309017, 90363846], [50557592, 39376299], [23527386, 95109771], [62237368, 85095210], [4808106, 91977247], [28196328, 80332026], [70793893, 70182226], [41556576, 43943490], [65658060, 62569632], [61034596, 55329080], [22116219, 29270525], [65493864, 3064563], [89839715, 10438512], [8046739, 67984462], [65083083, 97432914], [46678121, 19507431], [73645838, 56229729], [13267200, 43673189], [15017456, 90206551], [51656080, 55218362], [57411213, 68403039], [40762611, 21932978], [68630280, 70118598], [18351846, 43614435], [11355848, 42885564], [59772996, 17520754], [36678226, 85484283], [93227080, 43902262], [89591463, 35873957], [62646089, 72890005], [15054980, 9379182], [31564308, 21460950], [58589299, 25530083], [72372189, 12243090], [5499230, 48259828], [68019812, 95249104], [5604276, 94611182], [84541229, 24047840], [20409288, 41506424], [8260627, 63147873], [77174274, 89050132], [68526562, 43154365], [7448117, 17219733], [34544235, 19786629], [29469773, 32852558], [95398591, 20515010], [3680456, 78658578], [28530274, 12394836], [63540388, 16031927], [47933411, 19425806], [48121906, 22328926], [76023617, 23154662], [68396802, 22083719], [68760127, 38345304], [88468896, 94309557], [68012539, 11634842], [21191106, 42028666], [30583710, 69118196], [90431537, 71299942], [76096364, 80565791], [48537704, 76143838], [82149143, 25799884], [18041670, 74368199], [51391442, 16745931], [66378462, 72854304], [32855135, 36213293], [38970769, 74976126], [74625206, 13310471], [69587586, 67403177], [37503764, 77143888], [52525050, 86309549], [65364389, 20915047], [39567616, 45413775], [76544896, 16713949], [61911980, 20217052], [35799641, 4589354], [17796079, 42768073], [20576279, 22823157], [15690005, 84164567], [76743632, 8273687], [15074419, 48844285], [81949406, 43172323], [27919205, 36428008], [8263880, 52781762], [61563021, 74677422], [77280552, 58594351], [39125088, 48033242], [80434865, 25591961], [17240125, 64433586], [7181935, 53969472], [26236165, 62039301], [26130960, 35162973], [98555695, 99181838], [81167768, 18236417], [92449811, 99201401], [67016259, 85456819], [29560698, 49810396], [4869035, 12845414], [11432184, 90004145], [71287880, 56700292], [39791826, 16841886], [99127654, 39147240], [68243955, 43663781], [32219228, 5754621], [84981860, 36812598], [42823896, 54175601], [99069740, 8482038], [81383810, 90430642], [42688459, 67730603], [37354043, 89104474], [15237160, 33683803], [79054430, 42162711], [59286956, 96971944], [66025656, 48854153], [12098792, 64336395], [6522031, 33403382], [25955574, 11138046], [71777449, 15594410], [90574577, 16792061], [43400076, 21513963], [6558207, 95215729], [75756886, 12633602], [50072206, 47372871], [35209806, 32259301], [32151884, 9501595], [50970160, 71213118], [20636796, 15579265], [2243784, 75089848], [97878841, 21557783], [50323775, 50983347], [8135856, 81572327], [8407877, 70236247], [18676232, 29512811], [93078664, 52562359], [38038994, 7106781], [27735660, 16779268], [13088921, 78160612], [80707958, 28733218], [84044341, 49309432], [76677401, 23841180], [52377104, 41346296], [20859204, 5249267], [39269288, 72225015], [55678636, 54976757], [44918921, 21269614], [38999789, 42458342], [51789609, 27643018], [26345751, 93639712], [22806872, 95938088], [41579712, 44618040], [86184239, 38711969], [774651, 96909411], [83529989, 45715832], [45978448, 17158632], [68257649, 26919996], [37715302, 86117178], [80637455, 10062044], [89892342, 44233630], [50885429, 50441754], [53335119, 18351791], [59770970, 19340766], [54902007, 86032855], [93647760, 20981601], [25313167, 78397023], [55890168, 33332612], [69912499, 99313076], [36112317, 20789419], [42283977, 21334331], [91677517, 29887992], [94954950, 64729378], [27804287, 85224474], [21118099, 82829822], [22403185, 64939404], [40924685, 18396254], [98799801, 93873205], [17848107, 65320854], [71478506, 27753894], [25636364, 43422113], [48741927, 15076331], [39806609, 12569254], [95398332, 35009562], [1370539, 73355633], [26473556, 10628881], [18919136, 53577832], [38096568, 3792967], [83658475, 68571358], [82399744, 38296441], [76613742, 63030386], [87706356, 67023359], [63264793, 92522992], [61182579, 68531079], [5469445, 79664353], [73429287, 28067221], [20692371, 76324712], [88521961, 92310932], [58182110, 67462743], [4492359, 81994927], [54922728, 5529466], [47312333, 53792604], [63748328, 4608961], [20367713, 45605879], [44305141, 99818116], [32582113, 59465418], [94718028, 68482399], [19583472, 57103397], [59806302, 88753825], [3624429, 2845541], [89272449, 1799356], [65939996, 66838993], [683351, 56292613], [32705604, 4229586], [84186308, 55640828], [61700930, 90173283], [19904195, 21091574], [69762745, 96543411], [22122404, 18784324], [77494810, 59030290], [71054165, 62352098], [28734385, 39672976], [87313824, 40047449], [84049237, 72442379], [94058319, 5972800], [9891446, 31023737], [14999502, 501291], [5733715, 73986190], [8907191, 50852880], [81272037, 98398627], [70967579, 99571117], [43450137, 54596974], [89881318, 38249614], [43465198, 81759839], [79781048, 41929603], [4109094, 89603846], [52963027, 91513092], [61747308, 33423109], [98932921, 21608065], [57664059, 49956739], [91426985, 28453248], [28433899, 13432158], [3863123, 60043407], [36152750, 79706880], [51441303, 77558982], [49697458, 55475713], [86854386, 65114346], [69331163, 41229258], [86622931, 27958574], [93225028, 82659210], [330340, 95743640], [49094559, 98672614], [35335573, 77356600], [32177167, 79746177], [87686378, 2382457], [94915085, 25067855], [69008491, 38943169], [86163856, 36359872], [54066669, 65406518], [31647290, 44337616], [41437860, 57915229], [96997147, 45278749], [78403059, 12145978], [28866688, 39824293], [7915381, 74827770], [2824674, 68876961], [88457920, 90685122], [91515882, 97474], [81291660, 97197329], [1970880, 46077336], [45706986, 60511725], [28259726, 13272846], [51084290, 25278634], [31158843, 56775946], [47196307, 41169901], [7609055, 84346961], [71447178, 89811208], [80649983, 42213205], [1548042, 99204020], [80038845, 765459], [62510809, 95975490], [2826055, 42151864], [30178931, 73545313], [70199365, 60996190], [2331231, 91291332], [12637916, 5878242], [79406699, 98950970], [95135802, 89972854], [14663737, 14169809], [17741225, 84620914], [97856865, 72325232], [7902631, 22644877], [7906929, 73402924], [79654177, 63705836], [59628179, 81187204], [39443181, 10042616], [76421734, 52737187], [88422160, 95598843], [20522283, 24975489], [25036309, 28797923], [51887875, 14952915], [61937370, 83545001], [52326010, 52914083], [54825197, 10028700], [2680574, 12271121], [44914835, 57945429], [49971823, 41351302], [67578171, 50385050], [29310537, 43748361], [68582007, 50092214], [44680559, 77718669], [80127990, 3683631], [22452246, 34640656], [79926365, 97852101], [26280012, 71090189], [82657520, 39142859], [99579323, 66174934], [30064203, 88121939], [40651263, 83307388], [58187511, 9995845], [30839219, 32111286], [79513630, 74751000], [62787409, 64142198], [51009826, 85799739], [41621472, 6239311], [65972434, 28153461], [55798851, 80640110], [89659394, 21976924], [8954045, 46137134], [77295796, 8420173], [827161, 84906845], [15496423, 41632582], [23940924, 39853820], [73150787, 65466780], [77890699, 47523944], [86170395, 65090190], [72591393, 86889861], [27032155, 24622776], [91234205, 78065936], [57374543, 15497198], [15263807, 39634045], [14351520, 1276975], [44027130, 72202047], [38402965, 10317616], [98993619, 33445049], [21011458, 74371055], [75634352, 48687673], [59626204, 51056199], [91803562, 55203991], [89028565, 37957952], [62299637, 44699225], [3591760, 74410136], [75617807, 57563522], [23860185, 43314327], [97388263, 55144431], [91395334, 56517498], [71543680, 76456517], [81205565, 89686916], [25826744, 17785833], [6181791, 82412212], [19548244, 6227441], [49324008, 99514474], [95538461, 65753553], [80545418, 54190673], [67117887, 47064705], [81524869, 21447345], [68127963, 23957976], [91039568, 70377063], [98631781, 99760177], [75983758, 54595566], [80171647, 90291082], [83304845, 38527948], [34418261, 54676868], [84325063, 44358445], [23909898, 94255279], [76617762, 43809975], [49400507, 510695], [74115480, 49234195], [20039103, 69859031], [39666180, 14998918], [2568125, 52519178], [31139873, 10864351], [95925129, 59414451], [80332253, 47005901], [1653245, 20340601], [8823969, 92760076], [49531211, 91351866], [57717992, 3912494], [17831805, 56055023], [6518200, 81461265], [68175650, 86088684], [35336037, 72168253], [10888514, 34233729], [62310538, 8821712], [35592219, 85227260], [20436263, 95111498], [74201539, 27310452], [69667547, 5797360], [62895103, 72116440], [84810160, 46257795], [60286356, 42291357], [23942382, 32718910], [46218951, 31615957], [79628207, 45005141], [64794206, 76697503], [19517706, 29652832], [24533620, 31255821], [1701379, 98586702], [66217458, 35065537], [34475705, 34273939], [65631208, 43105320], [73403938, 17579438], [63734913, 34594351], [20199699, 44242050], [97641188, 84489375], [9461137, 59131364], [95770633, 45113236], [33634478, 88979145], [85501206, 53253869], [23999141, 43936407], [11072138, 77758278], [39711698, 69044866], [49102705, 34465388], [85519377, 80849639], [39324731, 91274207], [66906667, 64472569], [24247834, 504456], [41348001, 1121155], [18556337, 66924198], [36363415, 19752732], [9663022, 92031195], [84047243, 18055178], [39683495, 30094501], [26199855, 81878789], [41436833, 10383812], [16852884, 84891888], [6539232, 67889966], [37087685, 3926685], [22561494, 8949828], [1855214, 10549389], [97236868, 66888370], [64892027, 10376835], [92025061, 86909731], [37032935, 82556158], [7363169, 73344508], [27753248, 68122781], [38389328, 19168094], [16134464, 89548822], [80335365, 43346367], [31600229, 38559938], [83770637, 44675565], [64271214, 45332591], [6002384, 59436327], [4878429, 43790180], [79894200, 42535906], [71340797, 64949949], [9474376, 4791618], [31126412, 44171963], [82154913, 51436467], [40910494, 14455289], [23535680, 95750268], [6601185, 1203840], [9599631, 62185940], [97444172, 9759487], [16952002, 20848703], [18880493, 104038], [79282843, 44814953], [58261286, 69193358], [15651890, 38548960], [21761410, 32542388], [54567060, 26242360], [90040122, 63119440], [87446227, 57828460], [28277758, 15976855], [28897322, 68999814], [25837405, 62859426], [46873975, 32349969], [58516130, 35940492], [39979263, 89666242], [43109559, 13747062], [56189866, 54364640], [12218555, 17474135], [77300097, 31223910], [34307800, 93424831], [18642669, 42642655], [68583504, 58942387], [76212467, 46895217], [18467537, 27045591], [48830915, 91855921], [3266942, 2624646], [3882214, 26835195], [60807172, 65172103], [53216627, 89472863], [34621876, 64304436], [57635374, 41211472], [52162460, 70663474], [20437444, 95471568], [81553953, 99902769], [34085292, 81680746], [97561260, 49921422], [91535462, 21305423], [22158423, 59432271], [64738360, 67648601], [94438336, 66006804], [64670292, 85504535], [9803629, 90627686], [25234962, 69105668], [32817254, 42711403], [96931874, 21606754], [16865068, 77023146], [9618282, 80017778], [64716328, 51435124], [86668308, 7181572], [56658775, 23686225], [30570099, 63000359], [71691775, 54865786], [91494159, 57810684], [10198275, 4995577], [16282792, 67229584], [84098537, 22972343], [50096572, 93135142], [54174188, 70441608], [50100647, 70924835], [32714361, 51605912], [89390800, 95045840], [87895375, 2924515], [19027504, 94503933], [63996794, 6899438], [28868794, 76907658], [54653951, 75055541], [98220478, 73254129], [44321477, 55315634], [28994284, 56399378], [4724585, 99024576], [91014481, 7774151], [44321784, 89712920], [81042499, 99035252], [48180079, 16396425], [65170635, 74980510], [72634491, 35741633], [16402700, 61335817], [68141510, 30904497], [11261295, 50637038], [39262125, 16735297], [23065556, 47528768], [32468497, 62115158], [69256081, 45319225], [69767475, 66333596], [31395866, 668717], [39172036, 47603913], [21590613, 19995113], [10976707, 52639219], [32069631, 178766], [43576735, 79772168], [4224377, 28665782], [2867054, 17339909], [67429823, 24274598], [70791952, 23152750], [27002019, 96133694], [63007699, 69055731], [29710076, 38638644], [94042, 30439987], [75077321, 78966771], [83683127, 83032239], [94673946, 33321987], [26280123, 72645282], [51881394, 36496059], [99108847, 96144661], [60944008, 61214172], [12170292, 53405024], [41580649, 14301651], [64334008, 94474830], [42575613, 30222979], [20078292, 90616619], [77963874, 7684571], [34708764, 2302770], [63014028, 17676968], [23969150, 20096029], [7677572, 70821811], [12465835, 3961081], [33503262, 46252419], [44896290, 91209094], [40887920, 80208544], [30214727, 50472277], [42856998, 29960410], [45599606, 71957876], [25130307, 786683], [33389586, 85537554], [58721374, 7451571], [78350914, 28606714], [10757379, 65285445], [11888337, 35099453], [70490937, 94232662], [14096948, 52507420], [63026141, 76875940], [26625360, 50591702], [85317868, 36162925], [95857839, 38625714], [35857878, 67376271], [71306391, 55377419], [42162468, 19283668], [75768478, 6468615], [62303776, 75490731], [46233148, 22939202], [57141677, 44603788], [972050, 64243974], [26884242, 23473157], [76609273, 91554064], [695793, 79990834], [19035342, 97726328], [56724295, 10965998], [11494251, 67460203], [48713303, 39665433], [30812870, 43305730], [81614015, 91758219], [42801613, 34181256], [24480865, 81926409], [30442602, 15565747], [45547862, 10526631], [84718077, 72097169], [30750698, 93218103], [25054631, 96951194], [2668155, 89195175], [29061882, 41352509], [64250353, 86761345], [91076796, 33248905], [99690961, 36311820], [50453391, 89346755], [42580119, 20373684], [5315656, 75987466], [3600249, 44773118], [5909699, 86308557], [47048235, 9145013], [49920810, 54275237], [86582987, 74673048], [37211855, 64089209], [14698516, 10174986], [24426996, 65900817], [57272337, 14458926], [55738135, 43069393], [19691767, 69225580], [70115040, 73502560], [14577125, 90004202], [49589826, 61411370], [68696003, 28976458], [14574371, 36427595], [1301826, 89869995], [55458838, 15299506], [32875740, 83422431], [69947882, 87211174], [36699169, 98118090], [91653031, 81092731], [6070335, 35477357], [13774631, 69174277], [84977655, 34609707], [86465478, 79548222], [61594237, 11114161], [240601, 98572796], [33709815, 12068871], [22892528, 2174562], [13976388, 97887916], [25148303, 57841742], [99432779, 270726], [91753835, 90011309], [81400967, 82746958], [28746700, 38542228], [8199614, 54954616], [66810876, 98527673], [61450500, 36542284], [97158136, 37108202], [20506950, 96898131], [95945519, 34784122], [38729014, 61732377], [7952736, 61278820], [35154825, 13579227], [90959867, 12726582], [89224494, 8444498], [64480210, 20724175], [59637967, 60770171], [80639891, 52221594], [51068756, 45712205], [4535232, 90098050], [7422327, 37576906], [12849981, 86428956], [83450346, 74643040], [34459776, 3976793], [94443977, 61750188], [55036630, 56357689], [47902748, 11980770], [38262948, 80409983], [84992, 16845890], [56555879, 1434442], [92366869, 7237614], [1082721, 64505597], [28050955, 67400409], [36146571, 76610054], [54009061, 83960591], [89598915, 87283573], [688035, 39378365], [59554343, 65719061], [87515936, 13908706], [6211913, 74013799], [55002204, 84385266], [64532066, 21954944], [41745016, 37841998], [39749693, 49282247], [90988248, 11335335], [33236468, 84191245], [82723462, 60694373], [72720223, 36024436], [47252971, 90714374], [40963176, 54827059], [83284982, 95305160], [66284623, 42089861], [69541471, 25037437], [92793842, 9984509], [66843396, 16269977], [10965451, 10509848], [4302267, 90606451], [65769607, 6171703], [74001005, 22229182], [38607686, 97177277], [70649687, 61934914], [36288573, 17025154], [56128764, 25933855], [7245959, 98491797], [12958866, 51349328], [89726730, 12521673], [19736230, 75223098], [51477546, 90461737], [93361707, 49502104], [24692251, 86614406], [35722199, 71033574], [68660288, 51008206], [72828867, 76147263], [69377850, 70061251], [98144860, 37733132], [11898230, 10435452], [34976097, 5325461], [57835063, 24532611], [1226534, 39333794], [38170640, 96110562], [21313244, 53979463], [24870453, 65850589], [85218359, 45074106], [74386871, 33892947], [53836598, 34911856], [8947687, 72204116], [81695794, 75770190], [32904884, 34178322], [85559106, 79164207], [93898803, 11196410], [33567154, 3160358], [60752588, 78466407], [31348586, 45533939], [54594340, 56803995], [81432797, 70291426], [44029240, 74531201], [78536841, 29708124], [57474303, 11006402], [85749548, 89263943], [54327531, 12582922], [60007018, 20810483], [24210951, 94630513], [18998287, 24367972], [92904949, 52510669], [99635671, 90945398], [95478215, 63603289], [52189728, 58848917], [19004937, 54371888], [34608298, 85488921], [73534416, 79035838], [14955839, 77543799], [77065320, 59445138], [45071490, 7120571], [63330582, 62850935], [28406468, 33375207], [41255200, 53610901], [49977411, 92585646], [34544270, 19634480], [59142707, 63500489], [8524602, 40503946], [93896752, 54519140], [45481190, 42039112], [14899033, 1555558], [90513915, 43846191], [29642953, 57509894], [86298773, 14591817], [24360047, 99754835], [15927431, 21683063], [29195434, 46397024], [35686130, 38326249], [67450746, 27499301], [1124279, 27545004], [61139978, 16703609], [80494214, 89576518], [471312, 46857308], [65198737, 62839635], [93335766, 86777769], [71196662, 89816025], [63878695, 24581781], [76388699, 98439867], [63982863, 40757394], [57280576, 57174852], [75760224, 27101120], [86056048, 4003988], [76157424, 89110239], [64940368, 90059464], [66567514, 15709608], [81166270, 5780338], [44179671, 71613609], [98315238, 4842749], [66706836, 47725616], [16847389, 70189385], [63452563, 16779598], [92360851, 42029318], [27324559, 50824937], [3803188, 92318012], [42328204, 87605152], [87409288, 11267980], [81709292, 75843184], [26967662, 3282316], [45545550, 29759619], [61030601, 44620058], [61332083, 44880448], [87205605, 26014369], [94037800, 4319566], [42622654, 33174175], [59051968, 63362307], [78646972, 36274595], [64092743, 10082124], [98120125, 23878567], [30262143, 58141640], [76137492, 91242604], [12639228, 48174131], [41438704, 11001321], [85178615, 123356], [42971407, 19898580], [14963280, 90941565], [86394325, 77662184], [34427447, 53233642], [33140207, 55647618], [40002412, 18470584], [47816381, 48783909], [41429881, 7703097], [53647273, 78137253], [69993453, 19667166], [58271353, 65070005], [34252485, 70142043], [53720294, 60313288], [67002765, 38562646], [23244527, 19212927], [10168887, 94207993], [47303101, 77401468], [69920493, 74688717], [46411438, 96707534], [80016866, 65646094], [88406367, 53421113], [81884704, 73155535], [64727301, 35150427], [43795390, 16838377], [55083244, 85433788], [76839463, 57809861], [78718397, 20527604], [11556888, 28215486], [74082475, 48975680], [40109180, 76898121], [8049878, 66102757], [55417317, 80022910], [6324665, 77637575], [55000967, 88095189], [17040361, 50069769], [26613842, 545182], [25717479, 65526027], [9830992, 8979], [95834762, 58405903], [497608, 96563915], [52842790, 95924334], [18786801, 55965973], [3628726, 63137527], [47799345, 95728510], [62496995, 38771485], [14362103, 41972432], [73782153, 15886554], [30533234, 96203], [97789452, 28612508], [24298692, 16089062], [12604892, 37457312], [4511857, 42820966], [11564838, 16600548], [81994559, 33033366], [7187680, 41183542], [57959227, 21333174], [20779863, 38739170], [33920830, 10163231], [52991859, 25843360], [2860562, 68759962], [72709009, 40019201], [55499879, 35162720], [94049779, 70574555], [69504788, 81646305], [10006511, 28863728], [94943712, 32254673], [97727944, 38194942], [23237966, 79321747], [72714873, 91515863], [9818988, 27221345], [55300879, 32477892], [8370292, 30772205], [16111522, 85000548], [40143864, 84253700], [24445654, 72840098], [49866860, 46914979], [94774462, 6364911], [35996058, 24344418], [99178189, 94457619], [12845488, 24094234], [70505301, 47216953], [48019480, 82024043], [2683236, 31343588], [18470771, 43521241], [54317635, 36443241], [7529279, 79636044], [16988286, 38105941], [38388653, 94775667], [78088516, 36129244], [16498286, 63743188], [92482562, 21608691], [78270509, 79120428], [54745125, 33527768], [77937072, 16412502], [98195036, 56228934], [74692604, 56591972], [382045, 9435181], [76465293, 67858932], [39855522, 80338971], [69497457, 4958534], [45763828, 7356192], [16722132, 81955566], [18687472, 21532546], [13710161, 96424821], [4965150, 91631874], [2350648, 79713318], [68730687, 72727459], [75525305, 26183454], [32033908, 84983768], [76146275, 84355461], [45051216, 58630962], [87710357, 46715069], [92560047, 42234980], [29984091, 61170619], [50911937, 73618922], [62369784, 91628676], [47707689, 51224493], [56626345, 24085041], [2229086, 41168892], [9260608, 21412050], [21641894, 44410075], [5063073, 30006127], [57246910, 79717920], [21743520, 29895943], [32377572, 94156459], [51606973, 8875357], [68955035, 16564235], [68029357, 83657617], [58066312, 23265852], [82818842, 6885085], [36510022, 61143684], [1693033, 13489159], [54153329, 29649842], [84319739, 24835813], [75532356, 67099070], [67902610, 51230483], [30426628, 24521084], [53170412, 44370305], [6893465, 67816877], [58824801, 98408576], [87871983, 86084433], [29736024, 93119433], [69332338, 34595144], [30182289, 93535189], [54726523, 39022212], [1102260, 77932562], [32841103, 32005003], [72143948, 86597742], [45398142, 1446984], [89501662, 47662003], [75326211, 68751604], [72471713, 535807], [81369353, 79260385], [73946737, 55462601], [97323603, 63861524], [1920365, 41045313], [71302970, 8553318], [80139129, 98846431], [26347823, 81676829], [32906313, 75003554], [55504424, 12702951], [3756130, 20424087], [63278970, 3097963], [6847586, 44459991], [77473280, 98117695], [48920971, 849123], [80706539, 11951255], [14671478, 42710426], [56305716, 2175634], [42526711, 67071714], [80025483, 90065052], [89759363, 44349355], [2729191, 74223514], [43085317, 43730607], [86502817, 21937649], [84402257, 93406484], [34448727, 29013688], [69782108, 66002982], [4985689, 1008064], [90565884, 15014354], [72024423, 47003496], [89785491, 52964636], [84627249, 82762990], [44235810, 92400086], [39506979, 13453548], [73372514, 48638574], [63651389, 81862401], [35682455, 69139056], [31234733, 93720243], [90339306, 70664771], [89552294, 42508418], [42455342, 66131905], [30707365, 25348209], [63581317, 23780846], [60676114, 91750607], [32085421, 12781302], [55732185, 7449600], [29918810, 81211588], [6009131, 63930083], [2164737, 84582881], [55930120, 15305757], [64720360, 54248510], [70494618, 41874376], [25800078, 4884514], [6422521, 30914762], [48507889, 25432504], [44374426, 36729529], [56320869, 17179024], [8841607, 25643024], [46467281, 52026239], [90407629, 88224617], [62269925, 45325227], [47364000, 13051154], [29303843, 83211682], [22521325, 23039461], [82519797, 97090060], [43480821, 9115014], [82758966, 67192631], [28759630, 64091358], [20980865, 29286419], [32114295, 62909913], [89405423, 8176376], [3330744, 74779736], [4189079, 27279314], [39026459, 63040462], [49843180, 21082938], [10749657, 18505384], [16184476, 97740132], [25892869, 79892518], [28511300, 97974921], [41587623, 62361591], [8372268, 76256074], [61201133, 37569670], [7548662, 72600443], [56980341, 22840551], [53183844, 47710120], [29857034, 42520065], [16490192, 77570423], [12799394, 42880261], [20317918, 76688618], [12419246, 87665436], [9664817, 15662324], [53768778, 14677803], [30341631, 8904292], [94292000, 56823529], [70041109, 68426850], [2002274, 1585799], [73734983, 73698371], [47039521, 16359885], [55066573, 73948882], [31465409, 27337178], [26766896, 89554100], [38324335, 52990359], [34658639, 26264605], [13556821, 74708353], [96553789, 13211950], [30663157, 94967165], [91571023, 59894068], [30047000, 3400554], [40459667, 19040735], [20564859, 53493564], [24819267, 26292729], [10277675, 91482311], [6951096, 66787565], [30970227, 18768334], [17929332, 36782940], [61843825, 67445810], [44858491, 51592861], [51779670, 80979834], [19091435, 85340370], [2902412, 6241544], [13900760, 84868523], [77725204, 7471031], [76672037, 51942108], [21582297, 20430554], [28538193, 8973198], [17440104, 57533887], [1573103, 81249497], [42570898, 63094025], [73401731, 65054869], [86024365, 30404695], [72343435, 57173243], [81234452, 3394398], [94240363, 13679512], [10352061, 61694572], [66398487, 92796217], [48097571, 21795819], [32636857, 24160094], [65076238, 92057384], [75360910, 2103134], [3334006, 5393599], [7510189, 20423645], [91179987, 36991040], [72929654, 32177908], [30044046, 93947995], [76166411, 80213378], [23349640, 55080409], [80661570, 20380201], [66221045, 7536885], [28712272, 80051837], [84772011, 91988558], [74840250, 68048173], [55835952, 22227682], [86862807, 10060163], [13518596, 9821347], [80481055, 6635159], [79366125, 93373927], [26771035, 27149994], [33335644, 709506], [94076203, 93223775], [11687776, 99078452], [34111920, 95773949], [53643494, 18204313], [24833370, 3186110], [85876296, 76999980], [17251643, 87156655], [71964777, 31552111], [58331022, 8494242], [84012190, 46581472], [42512981, 20630351], [25260647, 50167256], [51009442, 25334679], [49899356, 91181629], [41657626, 3200530], [10819879, 83728102], [68436915, 40082891], [36713631, 23244552], [48634116, 38092931], [74981545, 30592940], [77861556, 64150327], [42614501, 9627885], [96104958, 8121541], [14289761, 8768255], [87910881, 96846187], [28361650, 22885158], [99890859, 70398900], [73455223, 50393519], [3690167, 64878157], [64331973, 87788295], [52976824, 96596466], [26813750, 751848], [43676088, 47328768], [88067890, 96038873], [9779387, 17135312], [61385172, 47193452], [11358901, 43756054], [3340486, 45244984], [19102351, 11076734], [12330844, 40501723], [94228891, 46472568], [30143932, 827250], [73784963, 79142368], [92770540, 91937765], [85205952, 89608150], [84519050, 43386539], [64917730, 72910794], [8092537, 3538925], [50434866, 5380673], [88971210, 42126890], [18681325, 751743], [2765595, 2898964], [8027308, 68222392], [84202294, 10461705], [55841575, 96238052], [66610831, 97654069], [85456093, 11088562], [95346629, 28037010], [31808872, 51639845], [28221391, 20121857], [60584902, 48606883], [34648775, 51854302], [87008273, 76669615], [97847274, 70900089], [41954096, 384926], [10944892, 65587172], [98707302, 42236568], [12444424, 64519747], [44633108, 64417950], [40013941, 36585806], [71875349, 50059843], [48244610, 68536359], [31479764, 52337172], [75198542, 87544356], [60743055, 76583818], [74021073, 67259750], [28563517, 11040745], [27866476, 91888810], [85672902, 77082313], [37223321, 67315118], [10702393, 69816291], [21172642, 29967398], [55241341, 91362846], [62627917, 89647902], [85345703, 40770735], [20825348, 73606940], [44503838, 29337690], [71941504, 69687846], [56576741, 3893048], [41717963, 67547592], [80320726, 9433910], [8853050, 2776576], [47541988, 69688845], [710207, 39103719], [52781128, 50180097], [3799638, 87697866], [18277940, 73888829], [89597146, 97559595], [14366795, 94590427], [4981796, 78223510], [66685332, 10982001], [76321994, 782749], [44413980, 89974166], [57968891, 54079332], [73929393, 85741283], [63148821, 82282119], [69169970, 363199], [70671717, 36565675], [57467215, 93290958], [84862940, 19502230], [28729252, 70347228], [19432114, 58164646], [85786483, 72951911], [10816362, 53223924], [66883291, 88300519], [44562860, 24593523], [38941001, 37226903], [19454455, 84638960], [2885486, 73872755], [17115508, 33645411], [6009152, 36511874], [14998628, 85023581], [77553058, 87587852], [63350236, 69920683], [8377185, 67891207], [2714853, 36090433], [45726562, 30770077], [71108633, 76690480], [89801114, 22600970], [16841013, 48293737], [1747471, 2155296], [14018728, 54047987], [23761003, 1023234], [17382455, 13634688], [58850114, 9076211], [61309391, 90225361], [4380246, 74329847], [20383282, 4492897], [27496759, 51477165], [7531563, 60635537], [69642926, 53978020], [69081232, 20657607], [99749368, 28960643], [37576950, 7643476], [39037931, 81629292], [36273735, 56684972], [777540, 41808699], [49352219, 23278120], [81749755, 87614815], [48185343, 29736185], [82695472, 12161168], [11142147, 11578306], [56814689, 83220353], [83422178, 76153232], [33507780, 30260177], [87110162, 26927608], [22026870, 61693422], [13324360, 42089946], [77703964, 57290741], [20716226, 24301942], [79226475, 66642259], [78229977, 90436198], [11725472, 42975346], [5025217, 57865540], [85712637, 88767887], [18235111, 53709138], [5686474, 6846117], [83880002, 98472211], [58358694, 65119086], [66491, 39003401], [98927693, 26432980], [31185148, 35565042], [85679539, 1175262], [63025409, 70609194], [10504030, 5624422], [22654624, 15144520], [78051814, 63275422], [65675142, 34273421], [22390086, 58105893], [58991052, 44607245], [9211588, 68476296], [6211012, 6936269], [8139885, 89182401], [36710073, 994728], [73447285, 78367612], [19207508, 65768196], [53756286, 44193857], [79601350, 7428480], [38873811, 34599737], [69939778, 2548836], [4073018, 67185855], [64662374, 23937758], [99453438, 43431001], [58802751, 77129], [14108155, 52216311], [21752811, 67535430], [64731132, 24115109], [50752662, 18476160], [88337466, 88247196], [25146778, 62069451], [15280374, 27788681], [58784471, 55156486], [25678139, 35467133], [77947223, 96476633], [66184873, 82558835], [83160756, 9736560], [32171480, 54793826], [11761820, 85303157], [33996901, 88867190], [77725142, 33623466], [30094206, 60524089], [30356888, 72638732], [67301951, 2882896], [44047072, 47686280], [24331420, 32476214], [98908242, 13088295], [55970805, 71325334], [3777900, 34144853], [43407415, 89356842], [83750216, 89388093], [96524884, 91942378], [34283594, 82978133], [6541846, 62094628], [34690303, 5554432], [15940952, 70216240], [79904167, 10660154], [36629454, 97006723], [37875403, 31510927], [13836451, 6952604], [49286093, 94831457], [15455231, 88981839], [78577594, 18868579], [67156229, 64644275], [82220056, 23001056], [11022533, 95814420], [1971366, 65874685], [46044894, 35332274], [24078158, 21262738], [12756817, 40285043], [62559845, 54444085], [60379986, 98731334], [65005608, 28863083], [53397334, 43535251], [64096614, 55601683], [29380418, 26263657], [93710598, 49178703], [34845311, 35944171], [24329560, 65658599], [38694869, 38957632], [71147252, 81571119], [39325432, 5268976], [18387485, 70699518], [43434092, 61263815], [96533597, 61221528], [11215345, 32888226], [87036006, 92643153], [94028943, 71164779], [86985227, 84027875], [1504807, 90414431], [1819025, 4318944], [37061347, 97301113], [93568511, 26179315], [87424512, 71262052], [53195968, 30406896], [7550145, 31852617], [97976032, 92426670], [12215057, 2690380], [34352082, 89597019], [75905280, 90113861], [22017844, 61884563], [92896475, 80299673], [90399563, 81145705], [96498594, 98175634], [68818332, 47544320], [48451224, 86337124], [55318819, 2019012], [1097111, 93961495], [31563809, 73739029], [68355173, 82686653], [85853281, 7862597], [36894888, 62445006], [7591338, 481269], [69784904, 93729824], [88797656, 92143021], [20661509, 53640110], [85410445, 67609160], [27670361, 56549725], [85241220, 43337885], [54443772, 53960624], [5427235, 57793014], [75239748, 67402658], [34504611, 45158244], [51728247, 50630439], [73198898, 26790625], [8577602, 11385651], [25705615, 13639966], [31639912, 85661706], [14292040, 75821487], [77751172, 92096516], [95342389, 96066687], [36962116, 40885861], [95071359, 87971744], [77585256, 96323287], [4898115, 81868749], [40166499, 53697014], [71280219, 74032816], [56243491, 18527153], [26133083, 16093664], [76546998, 18941623], [56734660, 95965099], [44113156, 16139220], [24363770, 92483746], [77122877, 41916270], [72304705, 70711981], [41989020, 22065031], [85518073, 23626072], [55951160, 74468626], [3230957, 19047492], [43268625, 26781202], [19309526, 83598653], [85009465, 96968603], [37277085, 71174980], [68580103, 9362577], [39284534, 13573736], [44681794, 41150555], [73453660, 71789744], [8524363, 80779486], [47104239, 51660795], [11957707, 98256473], [57001644, 3149179], [90271249, 21594669], [84422151, 49631116], [8114850, 57187878], [96455764, 26346356], [11203220, 97874931], [9858964, 87208816], [82465554, 37843540], [55264436, 63591261], [26615729, 50406902], [73276384, 18069703], [42624647, 19917659], [9945241, 58298999], [3931947, 1294781], [92349344, 65511457], [46439976, 86905729], [49284447, 7275274], [12036458, 91165430], [54355223, 34193034], [91381124, 13179268], [96406715, 51469016], [68376294, 56314296], [30208800, 19569338], [9326433, 6084567], [73104553, 21405813], [37092937, 61951880], [25427394, 26007847], [8454878, 29816270], [63936820, 64737201], [19468549, 29956718], [61123577, 51433748], [62384420, 87575344], [49124388, 52044417], [44579147, 73201039], [34424509, 45828544], [8439271, 73761166], [32025762, 55050669], [91008249, 86366270], [32070333, 37163666], [20208164, 63044142], [70009784, 69341047], [97200294, 37127777], [57080063, 42888736], [18898609, 25355188], [94074338, 84957648], [81014442, 74591513], [78145938, 54128778], [80302585, 89129985], [66813241, 25394387], [98056450, 78957779], [82170543, 8812994], [84174989, 47802223], [15002003, 58043863], [77409568, 90455251], [24540598, 52539013], [74696280, 5588254], [81850271, 26429887], [88102416, 49010526], [1311736, 91978760], [90970138, 36516784], [20198201, 96563633], [70248988, 87688949], [23210738, 33653263], [29076586, 55597511], [85023945, 18871782], [79634205, 26628879], [25538629, 15088800], [37328801, 24489959], [30954652, 73061628], [74697944, 81797993], [78408138, 2697918], [31523831, 90700328], [76925289, 59973902], [90812058, 67298767], [19627510, 12454498], [8338609, 87054380], [10548615, 41650087], [30192597, 94816564], [57642036, 94663832], [6599319, 19044681], [37161081, 8694290], [56295390, 41361731], [3368672, 62430149], [38180204, 74930179], [59703141, 46300700], [94019944, 33703496], [68213750, 88363511], [65252728, 50436037], [29935563, 56346373], [40487467, 69801430], [43739698, 24930750], [99929708, 23419036], [86655318, 28838374], [34022423, 27274173], [40475864, 68394827], [63281976, 78208264], [57509441, 73772240], [37633816, 92474880], [62179972, 55832217], [62148383, 85058149], [53569698, 32882762], [40974245, 66801134], [13368072, 52678936], [49468830, 5785961], [64072919, 37057463], [46075598, 27668500], [12099095, 32186688], [53726933, 43057180], [75501824, 93519200], [64101435, 7429512], [45968982, 20328858], [47150412, 8670972], [57355734, 64193164], [94103376, 88638005], [87664605, 67983900], [94533331, 39043642], [16076369, 96039138], [3510863, 69854860], [17211449, 6855565], [85865467, 12069598], [91143232, 52775522], [25142418, 69881584], [58477856, 29656419], [38477724, 36844448], [9008675, 60127878], [55510430, 64210421], [41876238, 93806334], [48236814, 1758578], [49505371, 80700754], [56126902, 94025600], [53061703, 14085345], [67394238, 31574408], [7840853, 70254412], [93952902, 64623411], [7555624, 9689376], [46318801, 17141080], [7112271, 65748393], [45974852, 97671391], [23190042, 10772245], [80753748, 23352149], [94867409, 34275222], [37024389, 20284827], [42117509, 34853510], [99539593, 71543868], [84838054, 78649017], [39077481, 73690596], [27109070, 32327676], [81018266, 96062788], [47450868, 49690035], [87361919, 23279605], [97966711, 9991218], [79042019, 3156045], [89806731, 73299316], [6917242, 43272977], [16385824, 92822862], [85555324, 39679745], [57401094, 16360509], [42718367, 64679398], [67360330, 77263056], [93223450, 74846443], [63910239, 22339194], [97010431, 96787505], [86517395, 98523191], [93199794, 60885544], [71378154, 59013890], [70019520, 33277200], [76859119, 73048527], [74667341, 26305453], [31072976, 52059072], [71907271, 47209357], [5791514, 57700516], [82068822, 27653702], [77529111, 86939881], [62516876, 63022283], [1014457, 58776399], [72261811, 49746998], [57416459, 74715042], [84297352, 25464197], [14405539, 61994275], [44142301, 78174382], [15536590, 69135068], [60481217, 8445413], [89692268, 31458302], [87075428, 60608542], [90167674, 29783397], [3454639, 7828656], [88110587, 9479227], [4904089, 4517203], [22766375, 24731956], [28317964, 63628811], [27356989, 91466955], [89707853, 55712825], [13822167, 82837666], [21315128, 26170728], [71827146, 80464924], [81631626, 96145636], [86319211, 46153381], [74153575, 82433840], [31581906, 55117159], [4789818, 33797574], [43118074, 88961788], [50074733, 36248811], [60093712, 10688262], [95991159, 6609550], [91678246, 31955422], [81809827, 19718819], [22882658, 59335436], [11806529, 247088], [11496235, 94530917], [79124768, 13260474], [66859321, 99632426], [13741383, 10060144], [79974409, 65518139], [9944807, 56636845], [57799693, 88448739], [33441155, 66310619], [89537393, 58740344], [55539821, 7709781], [21728128, 10160936], [24245995, 33220027], [5112403, 37263116], [94450946, 66903327], [86694619, 87115823], [24267676, 71553137], [17871576, 51937788], [76523377, 98652367], [938318, 5763282], [56798826, 24419888], [24530985, 89460229], [16372917, 54421337], [3890020, 36527746], [34286464, 65913245], [18073992, 30117698], [58124139, 81780891], [40425155, 51793932], [12681082, 91803066], [90681554, 60281678], [68952802, 21352999], [99324534, 98551853], [17233464, 38027111], [67073754, 88545468], [90413416, 63031724], [69238754, 4982427], [95671177, 69232546], [28232643, 58704901], [30946569, 29079606], [69614031, 78292848], [75840406, 47896787], [36451942, 77993481], [1858533, 48926172], [61762574, 77246213], [73347291, 31530277], [65406177, 47429295], [59352605, 6610463], [60603937, 53914068], [74404190, 48064644], [97405943, 6840721], [55956525, 94271467], [57309886, 47927481], [70574292, 8877163], [17663421, 91466173], [64458188, 77676628], [32358249, 26804955], [27517837, 26520159], [44364919, 28106716], [70753902, 23306148], [40443156, 57343765], [82330134, 46535608], [26728223, 98092109], [51346194, 73852266], [95896082, 56194466], [3871187, 61365279], [55574491, 90783462], [5894269, 90700715], [84077853, 30068159], [94641701, 33580544], [52215368, 65091460], [59536279, 57630140], [28005198, 37815543], [88218634, 71253066], [6238739, 56711408], [92192862, 99347783], [73619345, 59998213], [93640545, 96988824], [39281965, 14591226], [81433574, 11046831], [24696730, 23203446], [51641923, 21397032], [57519277, 94454163], [68635301, 33526985], [86893372, 48340832], [60761947, 47695532], [88362036, 87557069], [7768824, 95442362], [61139854, 60210583], [10103717, 63877919], [55863271, 6462564], [39813967, 8799581], [91249559, 43665222], [66304050, 69508675], [68158899, 72792575], [44695034, 57005401], [71241378, 9257590], [21584677, 32380591], [8087658, 43071358], [49229601, 24528725], [95532750, 51626035], [13598531, 95537865], [79216270, 7345397], [59074199, 17861816], [52492975, 8474032], [88571487, 30825153], [28757877, 64219337], [49589359, 51505043], [64566081, 54719251], [9108838, 34976982], [27772749, 36938139], [29146132, 75549982], [68752853, 86295858], [11601335, 70789558], [78264546, 88312977], [14407930, 77050409], [516231, 73479185], [32929642, 18594891], [25721456, 7064233], [51165251, 54699536], [43044586, 65961950], [78429361, 23737709], [15353739, 17516343], [2495904, 23795434], [37830104, 50263572], [87333588, 57062255], [15643175, 49165266], [46791072, 74306753], [45849586, 76440225], [35545893, 79103121], [7138026, 75583284], [90423332, 16770768], [31430205, 83286795], [84676470, 34084803], [69058167, 99480194], [94144153, 61517994], [14350859, 86221994], [53927857, 83122029], [27442647, 47943340], [16570883, 78137043], [18051142, 6428984], [78746417, 48952313], [12611585, 97488767], [60887022, 2232600], [58462567, 55403256], [1862285, 25955237], [72969362, 83314261], [27950180, 64962558], [24321369, 73491313], [84563785, 43650640], [49704450, 37052030], [59219733, 71272569], [12794730, 99592394], [21666786, 81915748], [57778767, 85345679], [46623264, 69979394], [70185726, 90895174], [2857568, 75388040], [75390078, 55444285], [27739029, 64505879], [69826297, 98931582], [24219236, 67097580], [78787643, 33784639], [76985837, 11373414], [5620044, 14187597], [32508990, 17872579], [72006366, 55730878], [98872644, 17046614], [8751813, 43992661], [37118998, 95678408], [59178957, 25308900], [85734382, 9614215], [23266701, 18647475], [51162877, 966433], [22164991, 465693], [22044594, 30053828], [14197483, 66433700], [35407956, 91650816], [43180734, 60334766], [68510770, 23952484], [41647788, 47531905], [7801550, 39228065], [25867008, 62023518], [65719913, 45421012], [3873904, 88187474], [51871849, 41406941], [76149438, 18386944], [61469857, 99510900], [3494102, 60618155], [34443987, 78937806], [58293313, 49987809], [75997262, 95814508], [67311423, 66253933], [78440891, 46322655], [86427907, 25242316], [13790847, 61432574], [44088863, 41937448], [5599649, 87816209], [22198645, 46306196], [29671646, 13878463], [64692221, 20438347], [13351189, 52504405], [96817597, 75422273], [55851677, 49319751], [27075064, 33689304], [93732627, 80776843], [10369700, 18779255], [84603630, 33603975], [10196539, 5798831], [91165551, 46436136], [27569557, 49776555], [81502185, 76516464], [33768078, 54029512], [85983541, 20587090], [67966015, 85195939], [71269087, 48607392], [93475879, 27160639], [67784504, 63566217], [63102677, 33216930], [56484450, 20221865], [52915975, 81833009], [43428906, 80173624], [87300799, 58637443], [14336426, 51922611], [76952287, 51928894], [90620830, 37831967], [63846920, 96917177], [42717987, 65921209], [84827438, 33193905], [94319811, 32279168], [47327194, 20100160], [83402693, 45248619], [26664393, 21581286], [90242567, 87473001], [53928357, 74953591], [11681933, 90066981], [95544767, 94945892], [60605322, 79478108], [79743609, 79295086], [2293067, 51604419], [32387392, 60862278], [39737302, 61631413], [78954660, 16554753], [74470307, 52458504], [9019793, 4572569], [81424711, 40149126], [13033210, 51311869], [44641051, 49598393], [82989873, 24847987], [89135196, 23461553], [67042475, 18297134], [94468266, 40073099], [76339830, 84143119], [89170945, 53440754], [64044895, 69367459], [15534585, 38268459], [61248407, 86453996], [4805300, 9981821], [30198871, 63435320], [34138360, 96469659], [23305619, 96626430], [97050431, 28263272], [6740343, 32554532], [56985292, 48933655], [30646296, 16621545], [79284493, 97304856], [92111277, 48304443], [15511134, 18505288], [89635736, 93868550], [8193007, 39764632], [7710905, 90970895], [79614682, 99174022], [5683866, 66548964], [3351091, 35929790], [82056341, 4900555], [34424946, 37268228], [87043148, 45390552], [17591045, 8025683], [7654837, 53995657], [13624825, 50657286], [32983537, 74294665], [48923682, 4179824], [40237772, 5480606], [45465812, 34948958], [22584594, 15600349], [2950144, 94270110], [44993708, 35738769], [73438342, 2179438], [79008364, 93269868], [98730284, 45700241], [48935797, 61008351], [68581631, 56471200], [17712884, 69410358], [32884343, 44160948], [27289831, 82800462], [93137931, 94273321], [63100431, 7616414], [80839700, 34947247], [51358871, 77954790], [62167214, 83600918], [16763271, 7756059], [58644260, 46992186], [92541812, 22053886], [94188262, 38496188], [19528101, 64080904], [62908041, 94863029], [70270389, 39539324], [70865226, 92232038], [79508161, 90868142], [67103028, 70490916], [35533831, 73646483], [39400203, 43519146], [4610189, 86661014], [31071744, 1693046], [10020493, 67895843], [3515146, 26451033], [76544351, 58944219], [92016630, 67862739], [12207977, 26813555], [78711712, 35335533], [79752518, 90506741], [89307362, 2340278], [96548177, 46784323], [69615735, 68673983], [89053608, 29596418], [53166036, 55067985], [41199952, 21160844], [38119740, 29106736], [15748375, 40729707], [94407999, 66167501], [17598267, 70000210], [48738356, 30675931], [88505269, 4438709], [50585436, 99436948], [58533583, 53616520], [70964488, 23842763], [61953377, 20449487], [15919623, 54407103], [3788293, 8197811], [20645886, 46448583], [31235297, 43414676], [24667368, 33830549], [57063220, 16371668], [21755324, 4029325], [99262631, 39905319], [17885621, 10368374], [86643507, 92789001], [83643255, 42987203], [11711535, 43813122], [84598274, 61490279], [93253807, 8813822], [38466761, 45552463], [20641060, 50555831], [99945362, 89379049], [38756275, 50355744], [34592059, 79402975], [78608255, 76620694], [89153549, 49689118], [10831780, 54647345], [66404383, 74753932], [44849772, 65547255], [76601000, 58971145], [53380024, 40393689], [32465613, 47488751], [77640294, 47354019], [57411875, 14548363], [95165276, 25730564], [9615464, 35002677], [78344247, 96585014], [89525916, 71346620], [41077883, 90502501], [17702931, 4733077], [716832, 51130357], [97583775, 54050948], [74691685, 92144], [94693121, 35186744], [40838493, 92416293], [11482668, 22358897], [4279889, 20331397], [1913017, 57552667], [41357944, 61693146], [61144525, 73656808], [82892497, 44355051], [2305741, 23170100], [10967334, 71134937], [98733858, 92434128], [7186972, 56210339], [11563793, 63658036], [93728057, 10419036], [75702833, 36392627], [57810016, 81530921], [49242326, 5506723], [38523633, 62299381], [55932894, 998553], [56481984, 8200816], [42751087, 48554864], [94160160, 62613020], [48234698, 89033753], [57871738, 93690653], [83647685, 72193515], [8496037, 24718430], [89798949, 17669286], [9409414, 27492436], [11195966, 41104915], [81805419, 32967669], [61489317, 68252568], [40129701, 19048678], [63793942, 36510949], [73039349, 6250976], [56518537, 37579202], [53501492, 70566829], [92212086, 37303365], [25471337, 12246578], [95868636, 75807896], [91567521, 72622013], [51846564, 5144833], [24292664, 26596455], [71377787, 44745789], [66855620, 99750660], [45823708, 15902700], [24078452, 81976867], [46618315, 94482372], [26406485, 75145152], [679926, 33543855], [77109258, 26900910], [4971023, 19244883], [59117865, 95013405], [18678570, 35631733], [15622193, 3980570], [50991392, 27589433], [4308228, 78654052], [19487205, 81928602], [29006556, 5210112], [66811339, 62705520], [9686106, 47900050], [85394845, 54601729], [44133813, 68669082], [33094590, 89283435], [49864617, 89279422], [1208283, 84473513], [53113736, 30600118], [48376625, 92072213], [8492878, 78581381], [64115984, 10370347], [54132171, 2706514], [58029246, 59757620], [58651253, 46108604], [49950308, 45499866], [81175839, 68544426], [19814209, 36334856], [56842233, 43432458], [30099192, 26089019], [90042788, 69266785], [17315133, 14785975], [97222851, 60933696], [8462324, 22509862], [41135105, 77793611], [77134284, 636133], [89390198, 59370258], [30301936, 58379651], [55198607, 34476782], [48468007, 52205674], [53924439, 70412340], [63343918, 47575417], [47664069, 82051700], [24723138, 23666408], [73674315, 51609759], [65761435, 88202819], [59553941, 38980768], [67811223, 27494743], [5636948, 97390021], [7365040, 10141029], [86364924, 29634953], [71140444, 40501420], [12472576, 72338690], [91818669, 78952539], [41819551, 67415589], [36206726, 20121174], [39871207, 82057004], [51629444, 39453542], [56188710, 14060883], [43219692, 9063617], [60859117, 20171925], [85438525, 67384044], [98595457, 31514353], [50801115, 5359975], [54218401, 82902109], [76466737, 67842708], [30817717, 4627152], [72441240, 26970171], [6289098, 8797724], [69050848, 76705010], [58712063, 92177191], [70844187, 2732135], [29733049, 89918117], [77804231, 92759293], [56908762, 84621649], [49819246, 20515096], [39831109, 49425966], [77489012, 23048606], [38060464, 6217200], [64816945, 9761230], [44914303, 97314352], [95862827, 86283118], [64827952, 57871861], [55810313, 8795021], [35874417, 72234136], [76495373, 70011294], [39824114, 53743240], [44528723, 70680581], [3418281, 11321487], [62213553, 62915410], [49302775, 77505958], [93321465, 31914311], [54029803, 32505170], [9753991, 72412459], [11763044, 7248910], [55034322, 73706085], [49629601, 85699988], [25050370, 52277595], [79919825, 56099342], [86160148, 33082524], [62379567, 86229403], [24566524, 29768931], [34428363, 80183637], [1418183, 76356151], [56238792, 99067613], [53797851, 4956748], [56846393, 50469826], [4075283, 37682766], [43578600, 4788145], [33845375, 50008362], [18522018, 67890078], [33840522, 20523500], [15784626, 99768817], [74135701, 98332767], [42937725, 25899537], [16403313, 43448796], [1991247, 46626925], [26943642, 28560754], [54356187, 99232683], [41787671, 42186621], [70809390, 33937193], [64417911, 47467805], [66788259, 34047018], [13711525, 19680065], [32450048, 46842381], [87305572, 18312042], [16068646, 49326897], [58258943, 52844785], [17208684, 18741705], [96499587, 75722392], [75989344, 78187079], [34397473, 77390330], [18551737, 52015449], [72644959, 94164783], [92489646, 7602930], [22937083, 33814697], [50317402, 75145159], [17160840, 97420723], [69903353, 3127811], [40023509, 53334468], [80156195, 62243836], [62143994, 40594554], [93218258, 74995352], [30434807, 6515157], [88604551, 74026900], [44204014, 14169299], [55796937, 70421437], [66400757, 39773783], [27970524, 11216056], [54761605, 20354719], [95042271, 16819240], [21696453, 66686823], [75489729, 97639760], [41599255, 77842446], [76389707, 15371322], [94649182, 54808601], [83406872, 3700327], [12815551, 39936262], [43394218, 87361553], [90259994, 40863455], [51071167, 54546889], [36597360, 53222146], [40974987, 59645559], [23541927, 66311350], [60646949, 36543727], [20900432, 83130185], [20311267, 84024196], [53226170, 16363048], [4715606, 44836626], [95983613, 84252916], [46727480, 54469132], [70287118, 24744765], [94203609, 52947607], [36782051, 20504036], [64347031, 78277237], [8059783, 4636315], [21855377, 22219821], [71223810, 65789043], [67564608, 49706681], [46490191, 27857413], [12978278, 41774764], [37460918, 10457611], [67495673, 18888081], [20625268, 75519503], [16733188, 43045027], [85495059, 10701257], [9856007, 83607871], [33412775, 63505145], [73182614, 34015249], [27499207, 83779739], [56855358, 57192165], [75928111, 68844604], [76898141, 35072338], [31254135, 78339205], [35765824, 1440225], [65654404, 18310968], [31568483, 54864187], [55047142, 71116135], [96778620, 7951827], [47924237, 62038772], [62755837, 19296223], [86493532, 41146319], [41127850, 54197424], [57217454, 6546035], [64364434, 38501771], [75723289, 56281731], [50582670, 67690266], [20406275, 78236560], [25075669, 4196950], [9667907, 23834251], [11237115, 1295613], [96649204, 54490283], [33184476, 66308114], [75749422, 61159227], [4407895, 79471506], [11502448, 30805837], [60943552, 60097193], [38391716, 95542662], [33679369, 95527229], [78297693, 42918472], [9162809, 54466205], [62416746, 16019252], [51863942, 87171512], [34141788, 69183550], [85725819, 49673664], [23906309, 38411459], [28622570, 89825916], [45999790, 33473113], [28341703, 82574882], [59715991, 94917550], [23917846, 40822346], [84241568, 22319299], [21664067, 12098678], [67121697, 87589883], [20171845, 10689838], [91034575, 20400569], [24148641, 29062852], [71880603, 49055910], [63035160, 63394847], [43017955, 35551793], [75973773, 32341612], [98009548, 7405934], [56284151, 29441990], [11026284, 99688984], [6909561, 13519161], [17827399, 14359856], [65374344, 5646664], [25057320, 62926802], [65230757, 38103224], [61318817, 69966660], [60816070, 63629674], [43622664, 52717482], [14659196, 77303531], [74310196, 47308481], [56922591, 92377858], [74107639, 80814439], [88772249, 79935445], [58660118, 24458693], [45032235, 90263924], [49204029, 9310629], [41736852, 8242163], [15632740, 93872181], [70422829, 23499229], [33760119, 65434010], [534464, 20123030], [67947504, 36406612], [12276779, 37227984], [1122012, 70697161], [47967477, 3664719], [63378437, 51163134], [76037200, 71212041], [94466343, 95599246], [21325175, 95002882], [24981841, 12895087], [51599105, 51619083], [9100288, 72344659], [1151578, 61957676], [68091414, 13231233], [55864123, 24177623], [27859409, 90631232], [19358569, 77306805], [12706892, 29694682], [34711524, 89507557], [94850379, 70973701], [3877784, 10611430], [83685434, 18392437], [48542982, 92285205], [84934024, 78277783], [22914106, 27123796], [55667512, 8045538], [27102321, 52197145], [94914556, 74918416], [9619334, 57660288], [9814538, 42593540], [51820529, 49909534], [17611090, 41377327], [4752821, 46295817], [70176796, 29919149], [2013965, 57773767], [23970332, 9504172], [79661956, 46976667], [55543254, 91672774], [29518121, 75203148], [115066, 93520403], [89526390, 31234130], [77736016, 76896241], [89752270, 61030290], [69849858, 51719396], [97106521, 30783772], [65690155, 1931927], [47544953, 70729700], [25398110, 98324030], [16037989, 36008935], [30917336, 77871410], [62218582, 14243971], [166629, 96026327], [22408118, 69642867], [59360522, 31285376], [84157212, 91936974], [75904191, 95154941], [21920110, 12357985], [39936913, 4178435], [75246619, 38198093], [11387, 47393473], [99500078, 64093704], [1183849, 6058432], [32785055, 72830497], [97462858, 14491615], [84212381, 68620074], [73366728, 44861073], [75210321, 50726029], [72056168, 4735624], [19437005, 10227136], [21826698, 8217351], [70878640, 15312084], [86864715, 60830198], [11578303, 47414045], [76384581, 94065204], [77633709, 80616374], [47063135, 87849671], [22142698, 14376593], [98184675, 56902356], [30556737, 56407936], [87406392, 25234854], [70304564, 20316004], [90673201, 46036736], [27091255, 44713321], [49117850, 67735815], [91724872, 34095918], [35705829, 46510401], [76256018, 56861217], [4289950, 72790187], [9054135, 79760694], [66585769, 72122270], [13379084, 54770189], [53514688, 9750512], [34868998, 77643593], [6490956, 46410995], [92003173, 35204995], [50721695, 62554671], [79001747, 93525726], [64337834, 32070208], [30362635, 71475109], [57283556, 20509860], [73225664, 4628059], [48824173, 49670014], [87252398, 32926316], [33731826, 86438768], [23678389, 74780174], [87973521, 23866245], [24116860, 78366972], [72754655, 9744897], [32488607, 75475555], [15282110, 52609317], [96793767, 68450601], [97467103, 33395573], [75695194, 32391975], [86962031, 34469520], [56589983, 19491456], [21099251, 16990651], [89987102, 77583097], [10912274, 31722462], [56823333, 22835225], [7542762, 8799918], [10216914, 96732055], [76218796, 16634392], [17874560, 61871517], [62361097, 14481116], [16152001, 159695], [11076479, 11534891], [65688123, 51424893], [99502371, 6473219], [53120069, 72333572], [83834014, 52735118], [64056544, 77593346], [77645297, 24082779], [60399135, 84912333], [39939244, 26827908], [81769247, 86441593], [46707274, 34553921], [29183007, 33372390], [89321234, 94379938], [50330021, 9075811], [87145622, 48483522], [16225764, 40865872], [24082509, 3919874], [70045941, 10988690], [87751610, 88054391], [70385965, 57453739], [91345767, 90804006], [48440013, 91445302], [76905292, 78918876], [18509608, 45182061], [97463422, 13887675], [55316983, 14616756], [58705866, 32146275], [75154259, 28102510], [2999298, 88549166], [92980332, 60997667], [41217694, 62639531], [23894764, 93470357], [65627940, 82251293], [28524789, 82971382], [32449170, 16971689], [71012670, 61169503], [35720740, 29743077], [2229965, 36277809], [27454031, 4531969], [72584970, 40849102], [25895756, 73400793], [24004055, 80158640], [83040765, 70713811], [55180284, 26468464], [63884494, 40333010], [56094174, 80961052], [45941252, 11237588], [92809822, 7941158], [94140595, 75263129], [90758730, 90470669], [4080565, 38611858], [79892268, 1252275], [1010762, 25546738], [72882114, 48966726], [22004897, 54539236], [78333572, 46038085], [64022871, 66029150], [14011474, 52000595], [14114724, 68979616], [25205058, 15445308], [113076, 14859316], [99969107, 74951526], [2342361, 83907816], [33570211, 59477111], [88066618, 83806249], [73423513, 35748534], [12342398, 55610856], [41046417, 4750639], [87718099, 38905091], [47673019, 36651417], [26187589, 47130929], [12341307, 51866209], [99434556, 23493310], [18794643, 22354424], [1263132, 60834916], [41881903, 98073823], [44091804, 50568462], [70883923, 84558097], [3033306, 79685017], [76645189, 85722501], [60277760, 64524116], [1621945, 76085115], [40838891, 78111065], [21142713, 57391876], [70225952, 22525012], [74560678, 21616537], [40710655, 72995272], [43970427, 11499221], [73013753, 64967892], [69346178, 25095489], [67449712, 12589532], [99463937, 30852900], [25093014, 97019129], [17476555, 89231006], [72334867, 71908223], [41188466, 40805715], [55344861, 41066415], [7765666, 51910623], [79325143, 39225863], [69022131, 41862235], [13220688, 41705670], [59931199, 12875142], [10672646, 40971750], [56842236, 71513730], [98815279, 75627241], [38341301, 71576895], [69235462, 68479265], [52987947, 43745205], [28296161, 29237979], [78683920, 32559529], [37104302, 85208864], [22359411, 1949197], [16968924, 16424322], [36002724, 98490961], [68308708, 84113331], [62580680, 77983375], [92925335, 71680874], [82703322, 92661379], [63358566, 21755871], [53959940, 93731977], [31379124, 16795451], [30690354, 38921072], [60316521, 23337876], [59790291, 72753370], [79570867, 19821063], [77923691, 26494087], [90061283, 4476483], [8652736, 73406986], [55132399, 76812755], [25111979, 33669807], [57960851, 61248392], [90736873, 6203368], [26953055, 41578005], [52484576, 39108957], [582825, 70434895], [11265542, 64392411], [67772913, 13905379], [26384833, 24186735], [23389773, 56517180], [16605969, 97708636], [97178620, 93276663], [70921852, 15736521], [46933138, 3578739], [43374083, 83157778], [94918225, 99724649], [6211072, 45018857], [755592, 14107415], [74711670, 49320147], [27307174, 73846965], [857880, 60875235], [17208999, 65419936], [8226877, 26810622], [32776293, 98297451], [547044, 99922852], [75057666, 93739222], [3923282, 56626655], [75825911, 34904894], [65349675, 70357935], [87323299, 55089706], [22985373, 31504841], [4540533, 28525968], [46049212, 70476939], [62780227, 98416811], [79494854, 45225746], [79313713, 63825191], [28174167, 66884372], [36691788, 34872432], [38301276, 83793111], [22799114, 97855846], [19847892, 89647423], [97556358, 18528762], [85664949, 26361513], [27258027, 88684983], [13075774, 18910262], [4801059, 21496504], [12822046, 46717183], [2290878, 64053702], [16883487, 56195984], [92424832, 38304753], [26179362, 38554393], [51955926, 55038705], [69237468, 2276977], [50562481, 3004576], [2804648, 3051081], [77622279, 92028096], [8252240, 3685740], [59014100, 34168856], [84324018, 8077260], [53097941, 84808650], [90494853, 77649495], [86869718, 74047818], [3377032, 31607441], [31887511, 24518991], [88380395, 76121483], [7436846, 36311249], [20715083, 65658358], [54764860, 87955387], [1876930, 78682411], [64492421, 24778502], [41931271, 70078069], [19382248, 65027481], [25273237, 83485925], [55163252, 49538254], [2211494, 92426555], [42730753, 53589021], [50836088, 12738935], [11651594, 82577224], [13953714, 9928037], [20904574, 7814246], [95873934, 91725785], [62431539, 16460310], [12400054, 50428099], [77655896, 18572148], [72474729, 53529318], [70683707, 70580831], [151069, 11907482], [3888598, 23442129], [3336430, 58465141], [88881776, 12350761], [65128547, 6491213], [4600, 21721811], [53866042, 33272782], [28412095, 62826195], [7780435, 3553544], [80322846, 99832767], [34186970, 8870388], [95125033, 18547668], [60843822, 24504253], [90629965, 87614288], [34159140, 47710191], [48136378, 83744616], [17514202, 36624594], [77067326, 43378235], [94587325, 40667574], [65673630, 68754833], [84218036, 19188274], [10838688, 15320505], [51967830, 98972537], [16607561, 4462420], [62818462, 76926014], [58296334, 84679133], [19337851, 12827617], [32925254, 4582484], [51635676, 6175505], [97788532, 30787415], [19495121, 32432336], [12398897, 84785232], [61999595, 5988604], [68690814, 61603217], [21101854, 21699641], [49529110, 57944719], [69546254, 3172203], [89553729, 78266267], [66183800, 49217395], [15381995, 58434287], [39050987, 21903241], [94370738, 23785920], [57670393, 89782243], [21973470, 96789553], [22724846, 19141180], [2320280, 97405964], [29485910, 86963244], [57857490, 66002665], [5076294, 85992339], [71790814, 49624155], [58896431, 30986114], [3895839, 34174799], [54735548, 22046387], [37974758, 95707049], [24484030, 19059123], [21415122, 49790153], [24487716, 71960170], [18799778, 58381159], [58918598, 4682672], [51360053, 16713846], [26984217, 79154203], [60332708, 75482917], [8228960, 35794686], [65291133, 76681868], [55114270, 73590075], [49927756, 85699588], [57191056, 38414912], [32054032, 64573703], [91319899, 11281445], [77591102, 61403421], [63386957, 94442852], [52152070, 85232128], [62451797, 36985930], [23299520, 87661354], [51228751, 26878828], [42962269, 5446895], [53590643, 79796100], [98717460, 3630859], [43136435, 6940228], [42916305, 48263217], [96048041, 39309503], [47509317, 18401520], [38960125, 60178050], [24583257, 78297867], [57534411, 46831970], [96420018, 7071903], [3623809, 76898], [80172126, 68710952], [27815549, 17781414], [34456619, 60518963], [18018733, 13113534], [13431201, 29304464], [45152261, 37637746], [60866933, 49522957], [71275124, 17057242], [56328673, 20649833], [89917445, 42780854], [65996380, 71351815], [53706646, 50825574], [51214605, 16933228], [19270790, 50829376], [24279288, 33832293], [23125542, 23985927], [95286554, 30765330], [99192593, 29266513], [5856116, 61175192], [6552559, 86332124], [51683152, 74866180], [93538096, 61553096], [39505310, 81209706], [34126940, 10601408], [75646191, 20101182], [60456027, 34861453], [17451815, 25179410], [54071384, 3684490], [55205217, 85400898], [23102559, 8066534], [60074265, 77137077], [83146143, 56311243], [34183670, 34196978], [55252970, 31111012], [53231252, 25098002], [22905673, 13434486], [53707879, 79508696], [69691838, 76499885], [21655564, 11930063], [83637231, 87457782], [1634067, 79072125], [40355721, 56095658], [62906051, 65575465], [83848389, 25941032], [1979981, 29893778], [85588853, 48831639], [94874343, 5556643], [96529266, 13148358], [95107875, 14571331], [55923646, 21036843], [408522, 45764401], [59257917, 99517816], [81175162, 54817619], [85785812, 35337228], [6617300, 21569052], [80397542, 35992503], [76584427, 47530417], [41007673, 93196903], [29348558, 35440519], [47370894, 20003776], [24264887, 45961504], [93222588, 16234903], [42999404, 25130977], [26773562, 96914210], [20094839, 67918370], [32801347, 82045953], [15534291, 278798], [6162333, 13868698], [58848859, 53581857], [33963150, 84693879], [25582381, 43792397], [5456980, 99519065], [19807192, 18348698], [30004914, 28237541], [19806518, 38525138], [55739620, 9706591], [35676509, 89336058], [657285, 33128007], [62194705, 21155702], [39462773, 36729066], [28058618, 98963766], [44402914, 77607851], [47509218, 68097759], [13339385, 7221988], [50813601, 10446512], [88832897, 79897794], [63366821, 24866769], [92155892, 63565481], [74052509, 44783377], [62509359, 55423325], [52007956, 62713520], [94673381, 61514249], [8969353, 75163641], [35208705, 71224477], [11614533, 40423765], [50320129, 16173585], [51551405, 35684289], [73579797, 57541789], [21040279, 46145753], [51249552, 98491085], [64522624, 75088439], [12874901, 25621975], [95498732, 39468505], [26967220, 36382550], [53937669, 62169909], [72357542, 58583822], [21856829, 77265201], [71648231, 72175367], [9382271, 56492921], [94573223, 23154506], [35987258, 18299141], [43506634, 70028448], [94173278, 23627126], [97321502, 79457971], [89077551, 15989217], [54923152, 93517271], [91402935, 41331287], [89190169, 99805637], [99636592, 96868971], [99749661, 637155], [12750645, 96223874], [20138565, 96077884], [46267618, 64013847], [80260492, 86735115], [72673259, 59929699], [60865942, 68710300], [24508131, 55923022], [70168417, 11461911], [94139523, 14480550], [20492648, 23821289], [35495081, 78098786], [93486440, 60134507], [70448376, 1006300], [38121971, 59927596], [49836299, 68519145], [82298529, 37514308], [58112459, 37045523], [56794048, 77658069], [93617459, 85620262], [95617690, 71145513], [95146110, 84451136], [56645995, 43726863], [50849506, 85375709], [629435, 48567033], [70547181, 22317988], [9864928, 93338516], [71612504, 94833514], [97841367, 85507391], [83784667, 51845521], [2343450, 53472595], [1724987, 21473523], [63196306, 80606429], [18956593, 17765439], [2575766, 4712109], [54222354, 70698838], [65706331, 39222377], [19634037, 77034395], [76214613, 89721308], [23177269, 58192296], [7088184, 80480225], [69541789, 90846454], [18475593, 71151200], [12545276, 1209815], [20540983, 29104106], [5918429, 36215067], [7443238, 18663717], [97799217, 28760631], [92699630, 76780058], [35810155, 73834975], [27831693, 81406897], [58185920, 1380586], [12654719, 63929792], [96903899, 33961204], [31733317, 66861484], [36140333, 13090000], [34696553, 74402317], [30828698, 42955647], [96777876, 33743852], [19085952, 37265536], [12626193, 74061323], [87465262, 55194823], [97497336, 28868616], [72488908, 89386599], [97721988, 90023271], [98441112, 20890220], [67954498, 95208401], [17426697, 21738824], [16680500, 59199597], [62595489, 51507964], [28482699, 26379230], [60488237, 40288474], [90586719, 82123648], [11785383, 58242104], [65965661, 23025353], [10297436, 10684728], [1431861, 1040845], [14610309, 99948346], [30260356, 47347195], [31647388, 20539567], [37663831, 50878707], [96086209, 42883411], [77014412, 23198167], [49203341, 64922007], [42830594, 41170667], [54458562, 17292772], [43419497, 49551504], [39113896, 96145735], [15151559, 70501160], [20065550, 70406728], [31958974, 17977308], [41870515, 18720856], [77122841, 76813105], [89994630, 65775015], [60374093, 25608514], [66703914, 5929600], [71021864, 17470468], [2238827, 97288522], [49923936, 37101652], [44458917, 48433099], [788520, 31109403], [91271029, 71685823], [67031756, 58921154], [46651184, 31538204], [21597768, 44612900], [17761769, 68195841], [92461414, 7708066], [35368085, 7379232], [17701243, 99147583], [40001768, 52354661], [15616439, 63837902], [78181555, 85719045], [19229682, 89363663], [58170084, 10187325], [68777348, 7572417], [64657758, 94698926], [7397195, 88383751], [38739149, 90124407], [76323100, 23771480], [8903299, 55226105], [1443086, 38706267], [20977854, 65777718], [57715908, 12319068], [94711122, 82196401], [17106803, 58582497], [98838477, 935461], [23236033, 31931029], [6452442, 98960207], [18910741, 48467673], [43411954, 90866056], [16881745, 65698188], [70429163, 8731748], [98573651, 31247613], [60517758, 69776894], [55930311, 29574210], [5452946, 64258034], [15175194, 86672009], [86891608, 6997988], [38192679, 75754854], [7552238, 19968098], [83801194, 35414341], [8583133, 19465698], [62191066, 98386265], [47736423, 61198719], [25681101, 60602320], [67961358, 55006688], [92058250, 34200063], [88616601, 9905793], [51658490, 72050005], [16344604, 47942604], [93818058, 51398841], [85297895, 47889268], [27778249, 68547453], [98801465, 90318969], [85600757, 49192797], [26450873, 82887336], [3432718, 34123371], [63936527, 29464119], [27619208, 3161216], [13347360, 84676134], [24749672, 29455627], [56825442, 30381303], [4353176, 15552719], [16579457, 65843364], [73289105, 51457953], [9130730, 36135096], [38148800, 50231557], [76795609, 81398022], [97529204, 96715039], [98877356, 53295434], [1252379, 8534927], [29700472, 51269701], [40057413, 72635142], [32721207, 57597215], [9613310, 31063218], [61179279, 60473386], [63608602, 72705406], [54950534, 46385173], [82964036, 67142926], [8121808, 81488646], [58447634, 95517938], [56050462, 83469802], [5466883, 90825250], [53397593, 96095194], [76466581, 48268468], [12861227, 6059137], [62119296, 80032314], [98031274, 32487179], [55824685, 98236401], [8552729, 28992413], [85919276, 50667278], [52825820, 88480743], [84931435, 64267422], [72068252, 46190522], [69057401, 83025765], [62785603, 32228728], [16806754, 56435043], [51517624, 13965126], [58637275, 19362003], [76273817, 95080953], [74962096, 14179774], [37413651, 68962960], [27659573, 68346696], [8433907, 58108047], [13463102, 69254461], [99511348, 77082626], [42140485, 33269340], [69746850, 75670281], [25602627, 15370782], [84764629, 10516536], [41079232, 10661980], [32094724, 32974320], [69922151, 43554674], [84679560, 38932856], [91765550, 76538782], [66666946, 88596945], [94484733, 10555168], [41914549, 53998097], [83450488, 64993812], [99148928, 68402396], [74680327, 46039164], [57604193, 29802449], [60523958, 96774857], [81741214, 12755432], [58978305, 69255462], [98180070, 93163350], [77589463, 94431387], [1075305, 71311311], [21860803, 95468173], [24278542, 18604601], [3490421, 57606820], [57193775, 52245245], [73295554, 22612369], [41345892, 19143522], [10914658, 85839900], [76262274, 3587449], [4245328, 19714365], [26971889, 77864118], [76510711, 34865485], [49103036, 25918148], [52697494, 63115511], [73772609, 34868294], [96103493, 54152621], [36114180, 52258911], [11551781, 11539445], [17624151, 20187277], [11979274, 38860248], [1649952, 35790466], [68960735, 71747094], [10704279, 28627618], [4604573, 47403225], [6184963, 16233037], [35678522, 5049303], [55029877, 45633665], [43240716, 99340654], [2381897, 69376069], [99334437, 44181056], [29691233, 32619575], [18279197, 33014212], [21735420, 20093354], [66113858, 32928605], [6783236, 33890959], [61894827, 57271053], [33933019, 13319303], [71877593, 82946081], [47059009, 32541506], [55855789, 47954714], [7028908, 68204323], [15436093, 55405851], [17934167, 57271210], [69867419, 69648492], [37128834, 39314873], [35244589, 85142665], [77800618, 13952474], [37886637, 12093691], [23353642, 51204190], [24587520, 97121696], [25188690, 13022651], [51354402, 3624751], [93093032, 14547330], [61933534, 33486051], [54263674, 21189626], [32871764, 37640110], [41194711, 22361234], [29062199, 43210561], [94027269, 91276252], [91695064, 70015736], [66417819, 8863338], [66328184, 2377560], [51517301, 74430344], [90893269, 68998519], [78025614, 89674658], [21546332, 13332824], [27035457, 91248091], [36273846, 89694721], [11636654, 4445277], [23215121, 8569735], [63025756, 83581211], [2755696, 76195791], [97861358, 78223918], [8113987, 31609801], [10239340, 4977422], [26200154, 78037008], [38352937, 74184213], [13375044, 50215742], [84271406, 30358110], [94456611, 76659763], [1012988, 61431431], [67108824, 17378953], [12930911, 38886023], [4043228, 75589592], [52386195, 63837180], [59566848, 12273416], [53958150, 79642823], [55668124, 39769293], [90722078, 41866327], [41598411, 51724511], [51726930, 1257515], [34177036, 55436218], [58292716, 33636775], [98067369, 68281090], [24938698, 23963171], [57444150, 96222692], [80067804, 93033396], [87709384, 15046180], [11537765, 70953276], [63555852, 59295837], [18031194, 23569802], [58015249, 76336277], [55851472, 87752675], [84462285, 42007878], [67854756, 86443541], [37941787, 97058373], [8362935, 57165819], [16412914, 53889381], [73266465, 86419955], [84288983, 75559197], [40708233, 12172758], [8357095, 24166205], [74201949, 92239911], [89276067, 61796130], [33882132, 63696515], [21218895, 26021172], [47818446, 82826432], [62372028, 50254557], [64013015, 94684002], [55627207, 49903184], [97845465, 823962], [38867281, 22193774], [14941756, 99371872], [71519569, 39961447], [25756347, 13798009], [136659, 29832460], [44048755, 91189549], [28103673, 1045080], [68105437, 72434699], [44900492, 46334492], [345558, 80111138], [77981054, 9008114], [49545088, 93368100], [89640661, 82148015], [89962660, 10141033], [55352681, 96251002], [7080626, 29892244], [90823570, 58328738], [71116817, 87412354], [87551273, 50148484], [1972989, 64452579], [43966283, 50156780], [17442809, 85590357], [42379152, 49742307], [77407643, 45056112], [75897972, 64256113], [65402559, 38710484], [64239556, 26527441], [84775047, 1505262], [9372716, 94878028], [75593927, 47368508], [22177766, 65502760], [87632497, 88170327], [57673284, 50575893], [86200772, 83260604], [78868021, 28036298], [92160758, 62837792], [57965032, 59468981], [81966592, 81275893], [31268027, 16961259], [18854904, 78496077], [647871, 57853489], [29227075, 75183876], [6961144, 19558169], [10014744, 18422162], [12431863, 57815640], [4601935, 4668451], [88987551, 38546719], [33615723, 33622464], [27732203, 17451011], [81997444, 15152076], [68484400, 88544543], [36275208, 30344835], [40545245, 21438080], [60165510, 47554662], [45657343, 9869470], [39170091, 1284246], [31703303, 73464086], [86370842, 30932572], [6840322, 18555387], [20599814, 39923693], [42217954, 81675545], [68411048, 82704481], [86396808, 70185128], [62698092, 9615832], [4767736, 16431422], [70046031, 97804378], [76830599, 13462134], [35747765, 22573434], [74672251, 57434667], [38074573, 61595295], [67576033, 79113943], [48296146, 55566584], [25969493, 73037044], [45295353, 76363165], [59597783, 85988925], [68224020, 27709113], [71414700, 47107649], [85627373, 86584184], [90607082, 8982269], [6079894, 43990200], [6924413, 72825027], [82451474, 21572154], [53556152, 34407725], [47514179, 34230006], [37230577, 97163079], [30842207, 53894221], [24655063, 91397996], [41855007, 67490133], [22783853, 22933926], [74547810, 18472346], [17359446, 4240558], [10963513, 10973520], [43021215, 32603948], [83215109, 71616028], [72815284, 80588467], [161696, 31375964], [26176765, 267792], [61507106, 65621316], [18739432, 50875490], [92672200, 59806], [74319002, 48135679], [85850996, 28809297], [77316363, 76293067], [26227368, 28097242], [57996054, 38990094], [16609178, 60255921], [6956392, 17001364], [20410489, 23693620], [27885862, 91421656], [74583226, 93601016], [22346122, 41719262], [26415996, 64427313], [20368863, 76023563], [99489275, 97257370], [3254872, 41959089], [93500788, 85446049], [77193692, 69686047], [81966847, 2390938], [51805735, 68900215], [5697945, 94216505], [52378795, 60762616], [3870001, 33135519], [80436047, 51892157], [76709488, 91663226], [30429787, 72419198], [6148933, 34841862], [10377305, 24716906], [98188027, 7553439], [69402350, 18723785], [9938605, 33993357], [66938045, 83943570], [67507079, 92195774], [66436547, 34464587], [62371014, 3086217], [21183619, 32841541], [64992160, 16776336], [80304661, 50564852], [24269695, 39175026], [10359986, 38745092], [35127089, 63495819], [54410, 47910946], [24400837, 10393662], [60410574, 19427525], [26474115, 30979404], [9331042, 28020062], [66658096, 21945475], [80801271, 27401194], [4442990, 17512781], [54572365, 13390392], [64456665, 78603079], [30898355, 98059040], [98562200, 78378000], [44381221, 83500797], [15536232, 58646222], [22634796, 35556508], [30699912, 89010478], [35273588, 83032527], [41957875, 87919955], [74676498, 16584959], [27954596, 53546897], [35289584, 41798454], [17278761, 96439229], [37882309, 38539311], [26527638, 82164611], [82176827, 60122193], [36281471, 31579470], [5311856, 66775637], [33978696, 19759670], [61557447, 67591113], [28396164, 35303335], [80470342, 36212795], [3864373, 54197247], [63881882, 21113410], [46215634, 85887194], [16379367, 72587173], [75204951, 53462236], [17173523, 14093528], [42051798, 74968953], [68007261, 64168278], [53341121, 72681107], [53346519, 57200784], [78171067, 34995075], [4329031, 77528336], [34371366, 66499679], [92416271, 58788272], [54490545, 8745976], [14591709, 67425891], [14514579, 84628952], [19942364, 92825350], [56010862, 71992061], [17199478, 24405035], [14208412, 71235879], [78619745, 26773131], [41676993, 65289251], [1159204, 58662517], [99729271, 7893954], [31368793, 76986949], [25915496, 19072296], [52151289, 99768994], [14505823, 7198468], [8396929, 69991912], [32582956, 31807581], [1364952, 74352790], [73204704, 42345346], [21215862, 35593771], [786272, 31967036], [14656238, 95023641], [57740637, 74024972], [37708247, 2741869], [97486228, 29043350], [3540078, 22742328], [57859239, 70790967], [23140431, 7735898], [2587697, 82852649], [47981340, 17841642], [58179359, 90214381], [54166455, 72473350], [24863630, 35649393], [10137014, 12379035], [23345608, 35867049], [4491619, 14653531], [25834582, 97693629], [10917392, 64865211], [2935425, 44987407], [51289156, 97239001], [56129339, 84194284], [5984610, 82436743], [25618659, 71536420], [21157608, 94561922], [58854890, 52023031], [41166686, 3082815], [98630632, 51981234], [94128793, 38745304], [40757363, 1206282], [87772203, 57181], [77225601, 73589490], [44895842, 46247996], [89617313, 95417031], [76108787, 68653366], [87804692, 61458826], [12021515, 91815590], [20636215, 97996104], [300804, 54412120], [77187618, 93287233], [85400239, 35826889], [55284241, 94661676], [92273322, 59646385], [27992438, 88650726], [54636365, 28551068], [66742935, 3135503], [34019998, 55830221], [41206516, 13049023], [5974930, 26452283], [98775527, 80184363], [94475083, 14468837], [60034366, 88717632], [33106763, 17302440], [34804299, 39495581], [24111702, 57999966], [43728905, 15431555], [71400664, 90019662], [88025069, 98765556], [31774319, 27579964], [44585753, 51789540], [98292047, 29234916], [44284720, 23934913], [17447432, 29078203], [88312377, 16764990], [19655930, 94802817], [4563278, 52446249], [71533892, 74318365], [76340363, 27117339], [27645306, 38544314], [5098323, 8928519], [50610881, 32421271], [44820130, 75609346], [13254658, 47313528], [17590671, 12673545], [81910583, 27577666], [39837599, 79508158], [41672490, 90026241], [78690679, 31604772], [37282088, 32691016], [16321529, 8023297], [23964316, 87078659], [57645736, 40968325], [64795669, 70855771], [15518273, 82413623], [10269483, 59569898], [96345479, 67002616], [41085359, 14655520], [58293593, 84871177], [42073037, 52582829], [58849990, 43531794], [92449553, 90205776], [88095120, 30760621], [15927106, 50880586], [36387918, 39387516], [58642719, 85661275], [63399582, 17761945], [70714046, 25077779], [99790813, 24140797], [44630895, 78764844], [86277889, 78116846], [91052975, 31805668], [62549211, 30234367], [97932996, 94037425], [40567342, 82988299], [15217610, 60014815], [53186184, 26890377], [38003219, 9450866], [65674549, 84112741], [34916452, 41397131], [9284755, 35930151], [7856237, 19027658], [58254169, 66431565], [64510838, 91249304], [63921209, 79510326], [57173385, 39432694], [64495179, 80405769], [15307911, 28717774], [86675205, 3620213], [18231667, 4416011], [98895572, 79807894], [94167453, 85821218], [43982997, 68911487], [12042722, 62509772], [30510860, 38744190], [25957447, 71701458], [45610337, 8868757], [2855403, 96252340], [39101319, 31799536], [5343419, 38811002], [66183028, 58968901], [60931200, 44501356], [91791042, 41268525], [44400920, 63911048], [38016235, 31125729], [86953129, 66758656], [36739489, 92980877], [29212688, 76744642], [51661253, 57570844], [37758007, 97602995], [29057887, 62563717], [91449609, 56912101], [70576837, 51766450], [72282896, 32097066], [34457736, 12520838], [41067375, 14601305], [45600998, 45467294], [46483932, 36248602], [32243820, 17835027], [6342495, 89729841], [72920890, 33465640], [68102764, 51345393], [13898066, 72351728], [62002685, 8560600], [47476926, 23678472], [62773794, 50024987], [62224882, 5746536], [73262347, 62489144], [29623973, 11293362], [30697880, 38290588], [30553669, 74215448], [98539548, 68857932], [48056746, 33200918], [34442928, 37197303], [13410683, 53878906], [89599045, 66105713], [66867224, 26937856], [93790352, 6797494], [9436054, 64507041], [33621476, 66129381], [97445543, 13958144], [13882448, 65699874], [94574959, 7133877], [98039095, 34002271], [12364855, 90556890], [3655822, 45958127], [84502926, 644802], [95154311, 91934751], [4233218, 33809870], [32732272, 91960856], [22617906, 14922171], [29987068, 12825306], [42577520, 60490957], [47197715, 8866123], [9741965, 33637189], [90907723, 43353448], [26910913, 29861806], [74242526, 26563548], [23402789, 21352195], [1328185, 9302308], [16845319, 57050741], [4892637, 70279518], [54328129, 45776766], [31450696, 10544332], [68764972, 55746712], [97748069, 48941805], [18191250, 84451357], [78736777, 50190190], [64424831, 62706477], [84762915, 56515667], [59457500, 2943206], [16130004, 47830731], [94387905, 10781836], [14899730, 63260409], [22779723, 67936519], [49164117, 63433243], [18813488, 95497109], [47489420, 71929907], [36568706, 22702851], [65223034, 75975222], [30255315, 4938140], [14341558, 1178151], [56320467, 53381229], [4250533, 21627890], [5408612, 44839843], [21602845, 63163003], [27334041, 44467800], [34702130, 84041784], [80241092, 13483261], [65630403, 87529681], [56104643, 71498229], [31914731, 54420093], [57419974, 17253231], [14585964, 40643594], [35584211, 88081916], [94647628, 11437242], [10535245, 20893996], [77494045, 63280938], [28323595, 49437596], [85881869, 77956896], [14427821, 95053781], [91680256, 90194067], [36386493, 71410497], [74911770, 75568966], [65901105, 87273538], [55267977, 62474590], [31696657, 72440973], [24212957, 64282065], [4048214, 35654546], [14539551, 38365302], [39587515, 61398190], [90576509, 12147096], [61846116, 62472289], [12994969, 23622268], [94888684, 49815873], [65524026, 12507864], [22178670, 75023506], [13130637, 34456507], [28100244, 57202552], [49812265, 12591280], [47239685, 83680792], [50731240, 76446477], [48228259, 48970106], [20357017, 34136595], [61927577, 73155011], [42874109, 26325923], [33910112, 56332532], [72728112, 7395854], [9403177, 48489925], [68820580, 81727112], [77605376, 12843106], [4601977, 14489758], [25537211, 98797357], [16235617, 67771604], [65879028, 19465587], [27936831, 22335899], [18067053, 34984572], [74113530, 95501273], [68655385, 37054004], [14188309, 97103560], [89546805, 11934124], [51634515, 49341069], [71882076, 23822612], [78666166, 56613815], [71161744, 46323780], [76199855, 40276106], [38327514, 89369688], [14211413, 52101426], [23399655, 8551539], [93448606, 61408787], [90485388, 76867972], [73903476, 72974996], [11220710, 14279338], [62957232, 9801134], [64722319, 55005267], [21492213, 22697974], [39373017, 14905647], [73335665, 37654557], [63495558, 20767230], [11709019, 88111059], [99697819, 4258150], [1450803, 92388068], [54665341, 66301228], [62110871, 58382922], [51822742, 84966532], [69543134, 31683883], [41311299, 34954538], [90006717, 33941026], [12507564, 93364853], [24239902, 6022585], [67707184, 263314], [41460761, 23010959], [3193018, 83496404], [4932021, 9171209], [4672163, 49846485], [6670620, 65163826], [17229956, 29853719], [81932510, 1530596], [73096943, 76789799], [76055022, 6231291], [17771056, 76121429], [68614476, 58533410], [54974720, 15486407], [59730469, 37211388], [96364737, 42362491], [28087702, 85029554], [57720859, 9200826], [51529244, 13479313], [266853, 80264063], [63068396, 76029840], [60385906, 49051993], [61213097, 81246213], [13912949, 79442583], [42537528, 13400135], [29360853, 70147752], [75607790, 83543422], [6742385, 95327080], [74542986, 72073318], [65865974, 63320299], [1997374, 96746942], [101952, 30443322], [68645301, 71541156], [67144160, 18663382], [78010783, 83489667], [5262672, 7283713], [16214377, 78957697], [52841592, 86864300], [27706513, 47612772], [52749129, 22886641], [17221827, 86864390], [61599529, 51318616], [31677183, 30768868], [19624493, 22423404], [96555774, 30965514], [567506, 32030065], [39026525, 93565114], [9338355, 99984696], [84732442, 2530], [96674097, 55842557], [66981135, 25705312], [5862752, 53247996], [73781047, 7604067], [17177446, 92324310], [14250410, 52206881], [70075905, 40771773], [35187307, 39338993], [7483514, 33148811], [72814120, 987286], [3509180, 6272458], [6320674, 25319054], [44396849, 17393421], [77887225, 14439981], [21312312, 81166146], [66732064, 70883009], [51116218, 49342441], [10917818, 28926668], [4008890, 21820831], [42959566, 95330458], [75590307, 13929353], [11087296, 95615486], [64009083, 47576313], [88702663, 15264346], [9411425, 66784544], [30647686, 4908740], [20717836, 35361989], [63682362, 46458728], [77926032, 60694744], [34621320, 38705530], [49810387, 95253641], [8338109, 5542697], [92590459, 31158779], [8638981, 77895360], [11246345, 52558927], [30212778, 5494221], [14634044, 52254945], [1966693, 58122362], [81941600, 55555083], [60130630, 25773188], [27498152, 77543889], [99549084, 7077660], [33415235, 61666332], [80722563, 63112937], [81979729, 65623411], [43819952, 63059243], [56972096, 40485641], [84913152, 28424832], [81293128, 47142451], [62857489, 91250698], [5632093, 82630423], [59964513, 32195644], [14650935, 12099785], [12715412, 4912406], [8493007, 80431589], [98333608, 74812312], [57052012, 36372812], [77998518, 53485256], [82798911, 91490616], [16032653, 53585713], [49555518, 95616553], [4247240, 18123324], [55113574, 21300941], [10824027, 96790885], [78654283, 80896124], [23758684, 98381744], [6265241, 30946701], [87121097, 8754037], [39838699, 38233107], [4160057, 97148892], [54818179, 47842756], [7425589, 17201607], [34324832, 46159332], [14072858, 4865716], [27958851, 86517162], [64995602, 46428817], [43526091, 34947801], [92111041, 58492076], [2596474, 55689223], [55685419, 25772367], [38867863, 21538097], [92461340, 85027997], [47647736, 25572100], [84453776, 47042293], [24790930, 12658413], [75902901, 98623080], [25648139, 97358511], [17611498, 21059251], [71640506, 10395305], [21527981, 62340764], [899205, 64571052], [90099106, 8987532], [67203826, 72104440], [39027643, 45342863], [36035672, 15882482], [85694142, 69686855], [76053858, 62301136], [30662499, 47535877], [17690326, 80848546], [15213209, 5912478], [83354183, 63183868], [92494424, 63597834], [98545374, 22700566], [20002837, 66757658], [15622193, 90955680], [27025281, 56093585], [48104673, 91193607], [6945804, 47545590], [63981676, 66381253], [80682051, 53991923], [55759149, 39022266], [18699187, 80981842], [97418822, 63747677], [49105045, 21417385], [54967991, 86849527], [2511515, 95447016], [27757650, 87307733], [72449893, 23570545], [87333863, 64432847], [43950806, 48726723], [55844235, 71248129], [12440847, 96804406], [71408065, 71945185], [72691090, 90215470], [66552109, 61022088], [97565146, 35801867], [31951591, 10934952], [59668031, 98748694], [41835746, 93140131], [19003606, 68840353], [90216322, 43610482], [9923560, 78008752], [7129396, 36796541], [21764942, 65333478], [98101602, 33206178], [56965138, 35545173], [98304639, 25371404], [95401559, 10008547], [73090096, 72336545], [26065616, 3005261], [42627848, 98155062], [6425579, 32611208], [57758249, 23259476], [90850857, 59973356], [1103507, 99623695], [45481202, 59494829], [98205623, 61015659], [474098, 2539565], [94998773, 91515438], [29843299, 705508], [28630010, 79709851], [20604045, 60870706], [76668742, 4388345], [33252471, 69332540], [40830265, 7496747], [3653999, 88942157], [67777506, 43222229], [36130017, 98545177], [46034084, 78186177], [99268378, 17403107], [59507245, 49973958], [50860780, 68936467], [14707480, 96538406], [659795, 99139405], [11038307, 38857938], [76695839, 19537081], [89718396, 63262754], [82603567, 55802633], [53120926, 21901841], [96185324, 67634026], [35510467, 80379656], [63639975, 70682349], [64049265, 95498127], [59476808, 55846200], [71604408, 37836075], [2023701, 59328706], [88152515, 76776786], [2670840, 39663138], [28247884, 30023701], [28236431, 12821534], [96156601, 29578875], [45511213, 90963608], [10469031, 97281350], [45154156, 95663403], [6447395, 32344258], [94728970, 91352795], [31187927, 56822061], [85546688, 46679629], [6918120, 88360816], [19564154, 51432305], [85122340, 76653537], [10670137, 47118365], [65742679, 49237577], [67430958, 57311890], [44310284, 74527972], [68340842, 6649992], [87943602, 61726019], [20358506, 37692123], [11877413, 89351874], [62103997, 89924328], [99591888, 11504610], [65194976, 67619040], [49572321, 16876704], [57382001, 31313558], [69654719, 79676101], [43967096, 82764772], [51913795, 63680707], [14355017, 79073565], [6314842, 37136549], [82337972, 25860317], [46396490, 11552401], [87614535, 72938396], [31161472, 97060555], [78302410, 42690052], [49263580, 49368484], [12273304, 68331839], [15338524, 36815690], [60443380, 20596422], [21488496, 19630133], [62137370, 17019963], [80897910, 92186892], [24221388, 20964961], [58395200, 50126813], [92452791, 11986784], [4628734, 96645480], [29999299, 646833], [22504353, 38879512], [67411106, 99287541], [74005641, 8421792], [32414904, 38200599], [74288630, 17711786], [60941439, 80584926], [79384892, 57502742], [71575758, 9585357], [42447009, 8938696], [2524416, 98038474], [3619719, 62282141], [31973254, 35129685], [93873403, 56392036], [47563625, 43486992], [50182213, 90424589], [96826029, 82131471], [96654, 40215048], [53182086, 55580184], [98273222, 6371534], [40328528, 40030573], [29564780, 9163463], [18704541, 54570737], [90728592, 64846063], [40950457, 47455091], [40514065, 7289527], [10989847, 49490436], [71751639, 43874211], [66267444, 52808980], [92444974, 74393684], [78609367, 79323405], [19725173, 98742685], [10463699, 44813273], [36736174, 15947049], [5426969, 45231870], [3879324, 34100194], [33559372, 36916179], [99127823, 54253646], [5208953, 26487274], [77453004, 58853166], [12938590, 96522867], [44791513, 36093604], [53016216, 97606926], [36694349, 18657999], [48541696, 34013262], [72373195, 45296231], [93428912, 79452907], [74099742, 46525727], [99787289, 23221967], [47989463, 64696614], [86398367, 63718245], [26084675, 81567284], [89350406, 13756971], [14237731, 51649634], [53130285, 70732881], [19787686, 88147269], [72768054, 43579835], [90220217, 382412], [77168587, 95509882], [10899888, 47048412], [39220851, 78805992], [13503387, 10397813], [11880184, 23037295], [47641505, 39266745], [23114578, 32795807], [51302010, 47408397], [93379721, 57687582], [27220513, 97528299], [41410705, 97207497], [14493437, 8118711], [51418923, 32750599], [81403611, 5593940], [91150214, 22713898], [41663878, 74010304], [76221601, 8028438], [43702641, 3329916], [4694451, 75451688], [54252830, 88868025], [83795693, 56165807], [49412062, 43976572], [36736450, 33514179], [98764324, 56138546], [88229467, 84780983], [30103692, 38749672], [21290724, 63328221], [93792951, 70576792], [662198, 85714352], [85284991, 42451345], [68356792, 97537339], [19496104, 46074042], [57150097, 45192117], [99229380, 43891265], [34283329, 65211739], [25641803, 90843127], [95249807, 58355721], [21136127, 74695408], [79630531, 2543573], [72888481, 21607523], [11468852, 18195479], [8264323, 44673626], [61268984, 63680079], [89135344, 59015762], [55491713, 42886172], [61844402, 91761191], [83946297, 49749032], [17468829, 18026759], [75203232, 67260517], [17341269, 26909837], [2797791, 80179757], [53141346, 42063706], [1443674, 61709906], [84311792, 23433796], [93242627, 2537887], [71894116, 62788879], [69735594, 12456981], [50140339, 62836646], [50282264, 99527362], [57008560, 58644562], [65969103, 46695286], [83252327, 75498485], [43044481, 11768731], [40399773, 42834088], [61311057, 37100382], [19580942, 97129597], [17371127, 38139161], [52828591, 43975974], [80687951, 26927076], [36403821, 27422826], [77499981, 37239778], [37473326, 30479306], [20560700, 72090372], [95735068, 51765137], [58950645, 12781350], [86700653, 6203684], [56484906, 89067445], [37848132, 74917902], [30464756, 27268742], [57622518, 34204767], [45482384, 12706369], [85282205, 54549753], [36733499, 63133019], [88243024, 53270741], [99263385, 60578118], [89953537, 8109845], [26467270, 53842629], [87631628, 10283334], [89557032, 25538722], [26581372, 21681844], [79509104, 13533556], [83391360, 73818380], [7806314, 64081319], [96697865, 55330036], [8813845, 39505111], [7452928, 61166210], [33389591, 16121017], [57883324, 44097696], [46581008, 85679409], [72319776, 30376349], [29258964, 99188625], [6804465, 27861951], [12370482, 53151458], [55193348, 82230328], [24387620, 84376302], [71894249, 22351154], [89588961, 80023675], [42826749, 84361398], [43308904, 48044710], [21034943, 38021641], [28476332, 20285839], [43843411, 12903972], [80424607, 87007260], [3406944, 54277344], [87127897, 28036869], [21655186, 90706786], [75044126, 72604081], [23825548, 16770688], [85412300, 96927305], [96837489, 48546529], [81467201, 12375751], [98643673, 45041059], [35045470, 33616992], [32041009, 57853854], [979554, 16334858], [24428502, 7538345], [14126599, 9251937], [44558044, 98818306], [22918209, 97062500], [97155251, 68626292], [91728998, 9764369], [90739171, 5505892], [3471221, 65026153], [84297266, 47845638], [83380135, 70564584], [30587006, 67653849], [18860653, 44056022], [97267334, 60149049], [88158402, 40870993], [7354276, 85030251], [66524494, 292980], [11490462, 95243481], [25254042, 4810715], [35021234, 87272042], [8987992, 32396185], [81881723, 57192241], [65329885, 23646907], [60509509, 57067322], [46535812, 8022174], [57080554, 84114309], [78011397, 74281786], [91102155, 66126949], [88897539, 1706778], [28790207, 43577061], [74601661, 99791718], [58638954, 48387205], [2278500, 4446839], [21381723, 31370844], [89248437, 41390128], [64583685, 31024362], [23003270, 49821204], [94362684, 36921176], [40227446, 67794890], [48173291, 67513515], [50498451, 16555374], [90139546, 53832461], [23439287, 54943544], [41001479, 97473018], [16009371, 24458821], [71923530, 6267948], [20248388, 94777556], [34184213, 21092109], [21608132, 31734275], [97175788, 38956120], [23949450, 12012208], [25708780, 80518535], [50753902, 6576898], [60667420, 42946770], [7293510, 60910419], [86081222, 66236447], [72180580, 16501648], [98253728, 61946704], [30408666, 57133829], [16387849, 88282232], [35126581, 26385001], [46834243, 64502317], [59026242, 46414737], [29282292, 74210364], [4575694, 54417696], [8768299, 25753893], [59852412, 87657766], [50406230, 57551924], [92093891, 99246400], [54349456, 81111546], [92422427, 28227532], [12701464, 27581785], [65074126, 27652955], [82655236, 76025289], [308057, 66118826], [10053144, 96474788], [39630492, 58304633], [5808033, 94835878], [92890578, 97669688], [83612346, 41144313], [71303994, 56672426], [61032144, 2081702], [86648643, 8614865], [23185984, 99316540], [65476658, 39574732], [58023761, 14545440], [25658416, 52754295], [70932377, 49232580], [87023928, 3095790], [59698487, 53069581], [66571419, 55864585], [51987614, 22758313], [5933003, 24546742], [13140716, 27693333], [78782068, 61856637], [19395803, 56086670], [35885997, 63272270], [76369833, 56849269], [38717726, 57362458], [86447157, 34215468], [22356687, 45497991], [24616556, 19899285], [13862717, 74338851], [82530488, 76817740], [13737897, 44261025], [80568546, 84381543], [71480296, 98352856], [94282122, 9692992], [6237127, 64690837], [74406780, 54125354], [28782682, 15326161], [80099270, 64817097], [72408042, 59770458], [73279485, 3355410], [43701050, 99918780], [51057913, 472415], [87118525, 97655745], [71547301, 35278499], [12639245, 66709007], [67019097, 92618480], [2402416, 28413559], [32221964, 78508539], [32116924, 24170722], [61136709, 61301236], [80891291, 18267056], [24005604, 12926512], [99517633, 36671176], [42912157, 39283933], [76766728, 90525484], [67428692, 55646131], [35964787, 13047469], [18319500, 82472414], [59395332, 77679066], [97779138, 81794126], [90319164, 4019230], [5195522, 84168245], [88694644, 37116979], [60413896, 81888661], [42627955, 28229647], [10482795, 40528647], [86569535, 37817706], [18570520, 53787951], [34052231, 59250903], [81395390, 51951483], [17333105, 6146090], [72968121, 54285573], [92914901, 33660950], [45019444, 94251148], [64063210, 15706368], [87838308, 68287785], [12474260, 95832296], [76549551, 79287104], [92413425, 20169350], [42399365, 83272787], [41995347, 99048775], [14365783, 40117146], [13872536, 74135566], [68831926, 34896797], [1217296, 43318863], [85059355, 31029653], [97963796, 60255630], [97956656, 93964838], [33737761, 85484430], [32120094, 94294380], [1181535, 41533973], [93953896, 85018171], [34051061, 98941211], [87015205, 64106986], [5737407, 20776873], [22938637, 49802005], [90803008, 83747749], [85404739, 38997355], [84406620, 40481290], [75306106, 32084284], [19583734, 40216060], [67289875, 22734448], [30757752, 41310354], [57699323, 61873907], [72290159, 91209895], [39540398, 60591240], [74237813, 80435100], [33756184, 20236666], [56011906, 43065089], [38921332, 87137339], [67714630, 65763277], [22804634, 55429339], [63646543, 95459104], [18512027, 99790245], [46504596, 30813591], [97086668, 62373675], [24525802, 7663377], [43319272, 63882617], [54737084, 57972913], [80606507, 93301055], [93721165, 27185787], [4567712, 35975701], [43210362, 62653938], [26155375, 96695677], [84715701, 48773150], [21895783, 86231617], [19280334, 86566340], [27815078, 73102453], [64338113, 29886304], [16783634, 22823259], [77178379, 13519433], [40110048, 21802829], [61086556, 88235514], [98266194, 52369674], [48411585, 73112262], [40513949, 41160158], [60978620, 56877824], [83695826, 24740841], [82510255, 997473], [64109595, 85453530], [83488213, 31953169], [59421844, 39014209], [9141685, 72541035], [19997760, 71806941], [38777700, 64996644], [14216616, 95457969], [8300040, 65257147], [79750941, 34403227], [42130636, 11390625], [17190865, 8055683], [60581363, 83311807], [7096063, 35988306], [92521287, 36376264], [87790380, 73849269], [5104181, 19491744], [64286670, 52503992], [74975221, 80539917], [75613793, 38724204], [3788594, 82313515], [1922896, 59411160], [79654493, 59973362], [84939945, 79358067], [45868363, 96284312], [97365605, 82598591], [89516193, 43140478], [30616682, 94046308], [72454587, 52629260], [6159146, 67572941], [97916399, 27846011], [70691186, 90928415], [52353146, 76678903], [58105750, 71992215], [60765931, 22720094], [63674601, 23491637], [98931915, 85977890], [83417821, 16134739], [13409232, 33033206], [9134229, 53529251], [3529533, 64168597], [41151056, 1344427], [74667249, 87638211], [78512598, 62960547], [73014486, 24235108], [45174758, 7683598], [57997624, 94431564], [96622006, 84749989], [3013481, 77150880], [48459373, 3163891], [14206529, 31153060], [73660738, 56323546], [85525470, 81007282], [16805642, 60781958], [77044067, 40275450], [81731314, 67385553], [96352398, 20029704], [35759789, 97002663], [28228472, 25350372], [37256920, 50077675], [22720464, 29376542], [71494954, 72405784], [74086473, 684642], [50262294, 48848855], [65651339, 46432169], [12690217, 71349198], [75357443, 40123163], [68068898, 53490732], [5563654, 44966704], [72396896, 20856276], [69943433, 56683379], [75981554, 46272980], [34268610, 81929414], [22763913, 48696535], [17375366, 56796696], [43717312, 76833214], [17612918, 52784194], [92586753, 99168516], [62759950, 30174100], [70971924, 11138341], [31869388, 94269907], [38296133, 59042485], [4663782, 49530847], [37740588, 62765886], [19792308, 84899337], [45447052, 18925430], [52032410, 23924522], [41447322, 1141878], [63551650, 90922592], [52872134, 73984081], [3796395, 84302180], [15060886, 92993384], [98178768, 83066307], [80983730, 56191953], [46140826, 31275915], [75903154, 61116696], [42255453, 19879262], [82127924, 22799263], [96653140, 32620621], [30356747, 75912587], [73041, 93705147], [74669234, 18331347], [98767112, 42220163], [84622122, 26677086], [21604231, 97679975], [50447710, 55898465], [17467992, 88960668], [94814578, 19953851], [37805454, 7086149], [37534879, 52899015], [48948571, 58982153], [24854360, 63929060], [33330529, 58538081], [7097757, 61850593], [80026306, 40751385], [50504594, 63071289], [65121465, 50342904], [60975028, 16180040], [56124707, 29423980], [35375906, 44863282], [19427186, 18293257], [36368731, 95193769], [30570222, 34730615], [19754285, 88122104], [19501364, 35838884], [90584537, 44754493], [47303470, 51609185], [83243734, 71680656], [61482173, 55160718], [81641276, 42972954], [13958289, 83732146], [9895134, 54878649], [12147192, 69495175], [74902597, 32275625], [85991031, 10569246], [11767301, 60712140], [11039452, 91464906], [26930991, 2815862], [79840056, 31674549], [41955711, 29134461], [33775345, 46721516], [26630014, 66788103], [57068889, 77787337], [80574051, 42296168], [6299845, 18809075], [82948865, 4316934], [29006720, 66307493], [73201102, 67176667], [93129899, 56930017], [49870307, 45264964], [99157016, 92387411], [57010445, 2234609], [87471595, 78525251], [29941112, 6279795], [66924215, 32289130], [80706783, 71711082], [58240202, 50983578], [5251845, 61220043], [79531998, 78529337], [2104656, 26134363], [74952572, 32848552], [85912059, 91737123], [59892988, 70263754], [95840017, 8857257], [20122373, 18267502], [11717699, 83571720], [78486610, 70529928], [31744296, 79671555], [55449337, 61741081], [40847436, 77478944], [91741183, 46720553], [87703131, 1128240], [81898682, 63019407], [50220240, 19614745], [47093230, 71175765], [45113972, 30122159], [17848991, 71177902], [54942317, 83360059], [147432, 61411066], [10795905, 17133644], [84649769, 90351708], [92900403, 21933738], [17742599, 62658525], [54319929, 60942531], [47895143, 35530352], [83428375, 58968719], [93505103, 67013505], [15229855, 68025305], [74275041, 15131430], [253304, 2055200], [71888058, 45543645], [15056877, 31377226], [64687582, 65123491], [99929708, 14681180], [53471887, 14758656], [98302991, 87614546], [66042600, 15904100], [88757760, 242918], [15823925, 69044736], [8520061, 96134119], [49319711, 71153222], [69938677, 82561361], [23767678, 5386029], [21874807, 36624396], [66968739, 72955320], [31609706, 36816936], [72628579, 39815208], [64414473, 60541537], [34274686, 24824633], [53164028, 85869628], [98539706, 43938554], [21477655, 99815206], [35755695, 65659956], [66780493, 21740311], [21712142, 72461142], [47068895, 58570992], [6222595, 78818196], [85585781, 19640902], [51748684, 50839525], [78531404, 9129597], [34242016, 70587867], [14997912, 61827385], [75546538, 89610743], [47380548, 34036456], [76626549, 96408318], [90120791, 20819739], [3206428, 11060069], [82847628, 74034484], [28731077, 2421148], [12738128, 22218222], [62910631, 43484183], [75149630, 68079908], [36346179, 87593593], [90277639, 98189298], [39590767, 95026161], [34328820, 6586837], [54484921, 22094227], [95673144, 12657933], [14970058, 79488855], [83475477, 79042729], [71135965, 11158649], [66713359, 76162643], [84214793, 510119], [54680704, 83605245], [64835757, 53564373], [51151004, 85549832], [41634410, 3019541], [22674050, 158586], [797991, 22472613], [3446926, 27635382], [81559465, 44254470], [52019038, 26408599], [4908858, 12233778], [24149644, 1513556], [6264405, 51674721], [61860807, 20348260], [38529747, 12547342], [84877991, 3752034], [65379691, 17090602], [34707382, 87923642], [10890005, 35600155], [82727955, 80358072], [76159013, 98449532], [93387564, 85404863], [36049096, 20229586], [4581312, 42459763], [7495512, 61794495], [86735293, 7754385], [3890486, 92055928], [60398377, 25906025], [10917678, 14065490], [70589465, 48225945], [738141, 3797157], [89281630, 35021185], [98005592, 99436332], [36997993, 37259703], [10585909, 51880998], [82954356, 62736610], [10563812, 1788739], [62901231, 34461770], [21567851, 81297577], [94610351, 34909149], [22215543, 38727119], [30900045, 64545751], [36452087, 40861978], [57365439, 26468311], [36108763, 22863550], [91346953, 38422238], [14909384, 85451431], [72501917, 39710160], [8850914, 35359097], [65833141, 14638355], [32315204, 1974142], [70326866, 57999436], [89989151, 30947236], [72709645, 57753372], [81079179, 27275363], [57236867, 51293940], [71154920, 17634924], [89311051, 97567079], [32177349, 19576402], [48818492, 23857247], [48884932, 81089721], [552051, 24418115], [86775412, 27053417], [58969612, 21773755], [63954358, 43257732], [298825, 21470297], [6728149, 88452184], [95833781, 89164073], [51471809, 96751906], [26065953, 59613550], [22259838, 5080817], [47140667, 65829644], [36022005, 13465001], [32261616, 95732892], [4133537, 70740961], [39268832, 52579172], [67293803, 66015393], [89841284, 84736455], [79650102, 59331427], [45954257, 94230012], [53226076, 13454044], [49284905, 638326], [55043190, 24744033], [70993063, 67660778], [85615326, 15432941], [83656084, 83753433], [33134384, 51618967], [5462641, 11074824], [34367555, 7084739], [33661688, 8721859], [30753431, 50535672], [60792698, 94212653], [51329267, 37305291], [76507630, 25541649], [76064089, 56543200], [56477220, 31090536], [70995931, 60702216], [76395286, 89894768], [52319233, 597798], [39182941, 35187880], [25820004, 68764908], [93752620, 68852847], [16899047, 60566340], [76303296, 63236431], [55932571, 81111503], [66058427, 52682380], [4159896, 93643366], [77226237, 4381640], [47139304, 55228062], [10656152, 60373862], [83134648, 44983127], [19986198, 19163449], [53378959, 14863632], [30527785, 7103604], [3867955, 77330507], [5825675, 77940038], [77889916, 88510657], [39890570, 94145293], [85027225, 6627750], [65886380, 81984235], [21632572, 35486835], [11543238, 70423480], [30597430, 73387624], [14444435, 26286356], [71371732, 64151585], [3871249, 10467706], [79666619, 66000685], [78847422, 45497047], [80500188, 96488493], [91280666, 30848513], [71781781, 37633819], [24100948, 70871503], [10023230, 26691577], [13554704, 85708616], [6125649, 76434821], [70204773, 92618918], [10271794, 22681796], [3850037, 94242279], [11932993, 48839828], [63182668, 83802757], [61862860, 94186909], [19988230, 10056317], [49628018, 25759522], [12063547, 39691071], [27402301, 52951478], [9679497, 10319609], [18281691, 56247255], [44100655, 49816723], [13742872, 45786666], [18300727, 55361732], [79902711, 59835336], [9597565, 10825045], [88789297, 22009129], [66236755, 80844298], [23999954, 76603862], [57022479, 27557463], [83219594, 68928398], [47206470, 82991928], [23113023, 98529883], [11700476, 75430527], [7021026, 88972806], [86119387, 7095648], [30266346, 49130989], [28106936, 99475082], [6111045, 49748480], [71823024, 73590172], [23237338, 74244511], [21758392, 34304027], [62475854, 2233900], [50983343, 37796263], [74405170, 18032024], [66435478, 77412525], [1433368, 90496215], [51133276, 90583552], [60838064, 34924547], [23997669, 73716729], [47202523, 73803808], [39402643, 82903622], [38843607, 20871151], [77038227, 49871619], [28720121, 26630543], [7163793, 33580644], [52557472, 20779969], [665717, 57180611], [16769899, 54734873], [5182821, 35839887], [96167578, 92989045], [35836298, 3829197], [59156377, 43992056], [85451172, 4521492], [47156960, 36614759], [59316284, 49343377], [38047118, 2253896], [45166651, 74455004], [52945327, 80777433], [59610560, 83488021], [67155363, 86220600], [1249945, 87027441], [67050477, 12052767], [10746983, 443146], [77828957, 61731249], [79903925, 71641193], [13910231, 47828410], [51815961, 9089099], [47278145, 92730774], [71872264, 71218619], [22947738, 98287655], [92404904, 47358689], [45502683, 44105926], [75825422, 53474989], [44753773, 52516125], [1537830, 79881977], [44089798, 55127921], [6786031, 57717402], [44017369, 25689570], [50755138, 53482670], [32590789, 26765338], [67265057, 55168333], [51245961, 49946422], [91387612, 14224872], [37660019, 8287683], [97481821, 35745921], [4534085, 2451146], [16708387, 63568861], [66172592, 89613305], [48745190, 63234794], [40181715, 94741522], [10945964, 41283430], [2041314, 11908020], [83659421, 22790095], [66286252, 29336488], [56604520, 76147372], [63662749, 32692371], [52187285, 41888411], [47335182, 95337650], [87233738, 37956104], [94463345, 81080374], [30072284, 16288834], [41982966, 45289035], [49596263, 60362640], [95302546, 24607694], [82461150, 86331156], [24759759, 4354925], [61106732, 97707586], [54496514, 78421411], [40243575, 42417282], [72622907, 9747775], [22280746, 46291009], [1808154, 3536144], [11759984, 58901285], [15763254, 85921528], [65501910, 80155136], [86454464, 16910079], [5266187, 58997046], [30272707, 83407987], [96779300, 7770505], [21079839, 39916212], [46890307, 35858665], [1048531, 64547191], [7800707, 91631899], [20933042, 76519353], [82389920, 84502091], [75490806, 68888723], [57797815, 39435970], [48952024, 42594702], [27317889, 97942406], [66304376, 22861010], [14538421, 94404516], [68617057, 88807619], [99238069, 47214786], [85248796, 69967490], [97448390, 42494248], [48286254, 91329461], [10282568, 34951922], [21838185, 4151551], [10531497, 6378887], [61650773, 32944827], [89523588, 39590023], [77924715, 47486691], [5454033, 13216484], [62259041, 93432100], [79199721, 17194864], [48454079, 44384860], [42405851, 35173116], [48574779, 62927298], [55452125, 98646308], [46719777, 30479824], [70259156, 28214740], [90087871, 52443300], [78358778, 28723081], [12581794, 78812066], [13705145, 84991632], [35482992, 582234], [48852350, 66483172], [73670173, 27310703], [8894896, 3481220], [35432068, 63699368], [29989509, 44471243], [14536729, 33357288], [8870214, 2302087], [28797029, 70432057], [5741282, 1745656], [43969361, 35998649], [97300934, 32193282], [77094273, 41754583], [18359955, 74439528], [16736825, 16896407], [74432541, 90922061], [37827418, 19401881], [76073085, 38938524], [74763264, 77962379], [22382798, 51745654], [36242253, 15017207], [98870263, 69758052], [46008009, 39250166], [76639906, 61277551], [40389364, 53823778], [80935427, 65989615], [33658226, 98287253], [80250714, 18557033], [96996003, 15891232], [86128601, 51797545], [33856962, 25808625], [9165281, 69410011], [57787011, 8371895], [56332290, 25978687], [88575549, 79443411], [21362321, 34655323], [83838557, 4714549], [16125878, 11208080], [77876830, 70262830], [83903617, 70676270], [53708137, 27036763], [82697004, 93304932], [93927270, 17081871], [29739687, 28984321], [49693815, 211395], [96509937, 98921299], [58283881, 78663603], [61448274, 23372704], [56972731, 23075511], [60253297, 53847356], [4348987, 36725285], [30566450, 12714183], [97976080, 70152558], [23547292, 87324790], [46316929, 86786307], [64205703, 15095148], [64561230, 11629470], [44758131, 8839839], [77153531, 82563440], [62294949, 73510893], [71569853, 15077288], [44974683, 80512150], [19758718, 73682728], [87044285, 28603220], [48690013, 91573101], [69702152, 53183231], [23846986, 68441693], [71561639, 75004042], [47827993, 41697652], [95048043, 60987801], [99771411, 16397438], [67047886, 80023147], [18779477, 98849981], [59679090, 59366431], [22571359, 3864847], [19767042, 20725388], [76127780, 78461615], [16185221, 56157681], [69771857, 17930925], [92744276, 99779455], [95990927, 36468221], [49897913, 18098795], [74386518, 6186852], [99419412, 41890511], [48256082, 28788666], [49789360, 30044171], [56734294, 68387652], [40501236, 88078088], [19817046, 18982634], [20332810, 20704406], [86429520, 89790093], [97920226, 80598485], [82505929, 81316827], [62033943, 88025789], [8234660, 71574596], [90753996, 6906541], [49273662, 44028506], [93679099, 12464644], [58413369, 85866522], [30419297, 33142351], [57404670, 59542282], [45421732, 40695474], [50573555, 35153871], [64017528, 48557988], [19536967, 50638743], [29782953, 83505502], [47693746, 75267415], [9882286, 71555968], [980497, 62340752], [72578001, 56860424], [90795862, 39427191], [80266474, 42915177], [61438857, 88500670], [11792252, 89735024], [59631437, 62605852], [83142546, 29077345], [79286548, 84170298], [31955033, 80168151], [35507460, 53107158], [89484738, 16450138], [67769123, 77088254], [17015800, 82688719], [28114528, 86931152], [97918423, 73942300], [59095888, 71117653], [4864949, 86157679], [16543700, 42956307], [4971781, 36698885], [90528951, 60640553], [10153745, 81932104], [50383037, 16891255], [95110464, 29950004], [13850662, 47083877], [76605753, 61065498], [91298512, 14259908], [27595484, 51881824], [697761, 92385485], [73112824, 49898311], [49503226, 88921920], [2956094, 44719157], [53188876, 73927128], [35527108, 80617803], [37402602, 30745633], [18996628, 91629495], [18362111, 32471761], [98879299, 96225735], [57363512, 80499269], [21981340, 11801707], [88095558, 20381490], [48664860, 51007359], [77528489, 57419103], [18455673, 58249079], [67070648, 9773309], [55329377, 40903507], [57603580, 26855929], [71615763, 19548952], [57888053, 39015992], [72394199, 19594306], [92085877, 79098957], [66131210, 67039383], [80539722, 75424999], [21931829, 7349808], [41909569, 18475458], [95791083, 73986103], [51261406, 98005048], [38702126, 86939888], [74753730, 68804051], [63181301, 71660282], [41975711, 23171557], [80416283, 22035080], [85222849, 2266967], [33964110, 9110229], [93617297, 44905525], [81928336, 28202784], [74645330, 96335599], [14977875, 84578527], [67883075, 59587913], [4761738, 70501128], [160114, 18537298], [70266967, 83680998], [58347216, 2653936], [72058179, 48450], [69003117, 66997954], [48152822, 48864343], [78177107, 73824657], [35908076, 29711963], [33754459, 70279513], [50233334, 62256001], [74069648, 41892906], [75876149, 80353239], [86307772, 12030227], [6891518, 54128155], [69868773, 15159582], [65922641, 29669759], [12899249, 57089201], [53398691, 67393655], [43266889, 94521338], [81169682, 24414768], [30035751, 8882353], [89589549, 26512743], [13777992, 12982102], [81108665, 56888358], [45577309, 62660761], [40488362, 1425585], [69886238, 94375196], [93852692, 11481825], [55354629, 39928754], [95985386, 31373553], [51061046, 11474686], [34502107, 50591412], [55687517, 72798530], [98144601, 56905309], [9669199, 48792282], [83720479, 98922869], [32314434, 52100051], [83888235, 63361729], [63508845, 31077436], [2989530, 15127501], [91854529, 67887689], [73929876, 58414187], [67662445, 74789427], [56613890, 78986782], [83156244, 94445771], [61437049, 80505335], [46570927, 66929082], [28600222, 87225844], [52286072, 55287640], [87947982, 1628181], [90411468, 20560795], [38300016, 77819218], [51093588, 65480225], [4595145, 77188998], [6656233, 20017993], [55352225, 92827055], [96113909, 147846], [87250430, 49603907], [1744828, 50285986], [14639159, 1306049], [15813415, 69329885], [54079965, 75846404], [53545553, 60099878], [88645682, 97902804], [63284154, 11211205], [77560332, 25198984], [42116400, 61081454], [73598600, 98090082], [47559455, 62576136], [29535241, 44177109], [93854601, 9551122], [50973964, 11582956], [48031206, 49562540], [9830463, 79685148], [50354889, 37869067], [54250470, 68574292], [24672942, 65810205], [7389655, 68472417], [85458250, 28668364], [63985817, 45556593], [28304465, 9817651], [42631593, 79642934], [66457736, 2730900], [26704126, 24185569], [95600350, 85192851], [10730169, 70140838], [57735158, 48955548], [38904052, 77741655], [13791926, 21559308], [78886155, 95177132], [72602861, 20420316], [72056269, 88571933], [48239574, 90639060], [34263353, 77698245], [15257064, 16793494], [45209880, 10520728], [44073276, 26141678], [88673983, 37807062], [11793328, 86671812], [81895007, 1460515], [81316911, 44314003], [6250303, 72062341], [92303233, 49976415], [13111223, 52814009], [21095793, 67887515], [67487395, 27430590], [84881010, 3430817], [75176051, 96471315], [10407905, 36975619], [57027474, 8986551], [57528416, 10282040], [5003565, 11301374], [65058792, 40096468], [62433437, 11568864], [27092922, 10607194], [98089860, 27198838], [83094101, 99432802], [89886488, 95310660], [20549285, 23009202], [46981153, 12208602], [53969331, 96485756], [7418241, 96098269], [83030821, 14540123], [41655776, 92928449], [1435898, 54462238], [48548875, 84020663], [9172273, 3757708], [73856846, 33021613], [81841483, 46333220], [23724344, 61737854], [87376492, 17253701], [84818013, 35959837], [25547998, 91725502], [68253449, 71755116], [96996104, 96175306], [97980933, 85551192], [60744969, 45541178], [40453620, 9714488], [11026632, 74668581], [58668053, 35352883], [24679019, 72743754], [14056088, 41752527], [50663380, 23440063], [32097269, 83321785], [46554096, 29260574], [13703044, 71735051], [19210239, 23315125], [29148894, 87495428], [10365253, 57120959], [53344135, 10522248], [55240155, 73976035], [97229710, 60860034], [51834868, 89824179], [36977993, 43475144], [79667211, 2045000], [63514389, 62748604], [65523457, 51433827], [19661697, 31443591], [54300209, 98782539], [91499623, 62339368], [11690245, 98190621], [21733301, 22536473], [17704202, 4015492], [83341736, 62795240], [35373578, 11892555], [88202327, 11156038], [44009663, 52724940], [7327154, 70306142], [35234921, 7608064], [31658398, 93665859], [1877328, 58184952], [5639648, 69315020], [59288287, 24418801], [73838929, 38916491], [69427454, 2243634], [50196787, 15580985], [20481467, 69682427], [1995606, 10167851], [87382062, 93082293], [30915052, 80584312], [41698906, 54940022], [60863845, 22888903], [10899041, 68250521], [59880102, 97086467], [6717562, 51926007], [54290089, 50420315], [18307229, 96372986], [27617015, 82620751], [51176071, 16265661], [22740996, 76340806], [75905909, 2204750], [15689994, 2278446], [90007450, 16035909], [74951200, 92993489], [29188400, 57913414], [27842, 81255151], [37928731, 65706847], [76371890, 38738884], [14426601, 57828045], [95207040, 10537754], [90444460, 97597822], [33523891, 65087712], [88440934, 78090749], [10705896, 93038560], [53559639, 43623150], [23537173, 75596830], [36977907, 63523274], [64597958, 61137898], [92198247, 37109647], [6284374, 38260676], [23476932, 83385501], [45099619, 19085485], [59280808, 75146027], [77558868, 90838488], [18399071, 90484273], [27106391, 82167252], [37211128, 20919945], [20737556, 45287377], [2102271, 99203417], [48524271, 52890626], [52331575, 26882020], [10511542, 82623401], [12742641, 57989266], [27279411, 98121591], [85038923, 59723186], [42022051, 89534614], [7043470, 44658918], [66815049, 71534661], [1362604, 95008378], [65446639, 20666010], [48019170, 98178996], [67549851, 68132501], [99925920, 26048828], [84435894, 63460327], [98547300, 47931407], [24857707, 83016300], [21267216, 71544089], [39511282, 5517566], [19818837, 41369282], [52021524, 29473787], [28488908, 4109009], [49566285, 40141887], [93194582, 4738102], [5601621, 15742099], [890925, 61413646], [88089089, 30345984], [78447452, 21100014], [46105443, 86536185], [64391452, 64818714], [53119874, 91693075], [40155714, 96531008], [25473895, 27319137], [97771063, 24431111], [1449265, 27537446], [26774703, 87949329], [63913276, 78114299], [31229865, 23309697], [32263027, 84377375], [84647380, 90717802], [29813253, 50743383], [47634990, 31834457], [70278425, 84070858], [59274645, 5716097], [68809419, 45584168], [88319120, 80265722], [90597533, 63273079], [64854436, 56547502], [18292012, 4110011], [49631022, 48321662], [57294846, 45552977], [69267141, 33276200], [17637975, 452260], [17690747, 80241505], [35826650, 48505157], [49470967, 34241645], [65285361, 51745301], [98516427, 1048432], [94401998, 10464220], [86792023, 53360487], [69990045, 7616517], [51024152, 63746675], [69027666, 94553163], [27120436, 37148673], [67037302, 35081249], [74134320, 37794570], [91028190, 8062874], [23814388, 52306715], [22374074, 38219224], [29862615, 62647462], [44392210, 16684941], [23289262, 86314446], [99660910, 44787617], [11720285, 1523642], [23329883, 88205321], [36472594, 1228685], [29713108, 6325188], [61377473, 74115561], [57796848, 52771237], [38588045, 31355504], [55059234, 16831225], [60643958, 18881404], [49400654, 48649355], [85382694, 92469499], [22468604, 37105530], [96287372, 24727875], [70535594, 1727992], [59554153, 8694459], [70090949, 35733799], [20976412, 54074582], [43120126, 44549397], [92415391, 14445400], [38482255, 47658822], [8426192, 76615403], [3453396, 67895951], [28007610, 27617644], [35850186, 62849136], [38760051, 77407972], [96757269, 50239507], [69947444, 77051782], [81894279, 50966436], [58498451, 29239909], [91081071, 84130965], [52312723, 31610971], [23183203, 54035656], [6898021, 20431664], [13554410, 49021278], [27167487, 10906869], [90006852, 25670415], [45431125, 85830586], [80322216, 83365603], [82044674, 7570386], [4949696, 46255218], [68556549, 96964730], [14565060, 44635882], [71719086, 60691645], [9642395, 7183257], [93704615, 73986121], [18491189, 60218910], [93360404, 49806330], [21359809, 34385920], [95441482, 17780697], [90717773, 71634139], [50712228, 27027503], [37691985, 8523876], [89863172, 17570047], [62956542, 40114856], [70709413, 81911836], [73546665, 15314517], [90099648, 69027654], [40500209, 53715996], [75760342, 37432524], [82569243, 93990472], [91915336, 21832827], [23132014, 22427989], [39741225, 93070219], [31699361, 6655837], [62853295, 3264381], [20057644, 21777762], [18261997, 27401216], [92728617, 22378621], [61924378, 95432289], [17915754, 2198892], [72347608, 77057423], [93087050, 11723187], [62388079, 9513305], [57163721, 27496758], [92479137, 17195750], [85726859, 86052338], [44751630, 23040732], [55760271, 99052326], [78056867, 27111723], [2820251, 52467047], [72587586, 45117940], [61659938, 29056994], [46097056, 71812978], [7151592, 37757987], [12756213, 16174227], [59530566, 39914225], [4986047, 68877087], [1526865, 91658800], [31795158, 93808094], [41361019, 95891027], [30098509, 77385916], [61719917, 2469752], [38739930, 30508587], [34201191, 5807799], [92349795, 77241961], [34086229, 18823038], [79373964, 39848914], [69742417, 55373819], [24603153, 77738184], [95555167, 28682092], [54583635, 73042530], [58585592, 53940435], [31221983, 85265842], [32105307, 72133874], [11245738, 76159532], [21737201, 16150689], [13539188, 92249612], [95716637, 54093458], [7065959, 47393330], [96957241, 32685169], [596987, 51721877], [72464474, 95843621], [85286811, 40933836], [92871101, 53811546], [98748083, 69077608], [88435637, 62118786], [10685969, 34524435], [9012803, 45088045], [61402743, 88317944], [38700861, 68156388], [37552161, 87862934], [81676193, 76126414], [75314686, 90029811], [58831227, 7642816], [39716142, 81698820], [31120385, 39038291], [51501548, 99995751], [25578495, 79189562], [94294997, 62844495], [29730804, 26957253], [55468950, 33619134], [12638025, 77735313], [39782323, 2497546], [15751777, 20460606], [65309460, 39037911], [19451287, 3419907], [94483045, 42112265], [83324221, 85634848], [72107850, 79181564], [22208048, 46222427], [29613929, 77129390], [6046895, 30039037], [61836009, 35224593], [79730030, 88283006], [54056618, 82408388], [81403933, 59113817], [28209105, 44962767], [62961220, 86763293], [45749622, 95999265], [75169467, 54162630], [17597005, 79476194], [73915119, 43585420], [87507003, 33329817], [67555687, 17683383], [70499825, 75551265], [73533290, 3259673], [36863815, 10418048], [52763047, 50338205], [81316975, 34060005], [42404347, 78130965], [73529405, 22204596], [72099700, 90728561], [1093064, 39127728], [30649600, 47877793], [82045594, 76480095], [6338008, 44259130], [85956445, 43472808], [53980723, 72430762], [98644132, 22844728], [31305283, 70651684], [20833642, 82337353], [9831543, 65774509], [90878756, 93047154], [21682297, 29011598], [59379344, 69113985], [50174006, 17436110], [26008, 13662573], [97688417, 41087210], [40910188, 7892235], [43459727, 69968582], [36960784, 25380058], [15540423, 1455264], [96540283, 70365260], [31120445, 98377696], [47830802, 50958973], [40270897, 34415642], [84601849, 97947874], [63964228, 92913074], [83384815, 49232774], [80470469, 91806463], [78335397, 13450230], [43256867, 48651880], [60920782, 99604900], [2024458, 23250647], [46093059, 70981957], [51638809, 24737930], [71358521, 2029477], [59137104, 9647106], [57449865, 50214654], [52696901, 96506120], [43759431, 28069571], [12346336, 99270165], [23898430, 31290811], [87115702, 44701188], [57864758, 17890336], [29278124, 13891475], [65865913, 92824944], [46840240, 39028120], [92787505, 62067851], [99996502, 84870239], [89562821, 99050882], [9865218, 48626289], [68664657, 64549092], [61236938, 30592836], [40798025, 29446672], [2879373, 9167228], [87856376, 68929259], [94560029, 50368888], [21128946, 62591081], [51432722, 19790944], [58459578, 20123579], [56707436, 81684629], [60676579, 11792085], [14445893, 19579459], [12935566, 44825398], [5374643, 50387311], [29364149, 5225248], [83294838, 32903435], [5045327, 66856199], [48618030, 83500992], [59977079, 65309361], [8328870, 50432795], [23528874, 97694740], [16597755, 21477930], [96262671, 26288841], [78080561, 20789509], [10456252, 98219539], [39559558, 62088842], [9220629, 79555978], [92441771, 11249295], [67131256, 96702656], [51583162, 50055828], [86098328, 51169090], [8761736, 85374277], [3149455, 66789599], [98583011, 68704408], [52859854, 66182622], [56397509, 30712107], [49126808, 61530444], [26055648, 80955361], [59676526, 45347678], [36073844, 68765113], [50582821, 59223429], [33074127, 17421258], [26942355, 66993785], [70117687, 46325311], [57304608, 61162243], [27454224, 25121749], [68435748, 88594626], [81524085, 76868570], [12529532, 74621201], [26749755, 94052225], [93341505, 44852507], [38549405, 70196919], [77733470, 46072960], [8807262, 48964181], [165043, 39041653], [20775749, 26913763], [73877080, 14921525], [81210831, 18711946], [38919938, 11042563], [49608165, 55914402], [39463353, 78585601], [32277347, 79582518], [898460, 99800606], [24839345, 65187376], [81790874, 31766826], [44461290, 77645424], [97125511, 13764379], [49678795, 90782978], [77931443, 90202936], [87679223, 25984560], [26291198, 60480925], [93193616, 5712568], [91319702, 69635076], [43924079, 38689984], [94089438, 31857243], [99900706, 62809504], [98766134, 36781420], [71309110, 55694477], [73374570, 55248952], [58987978, 76718022], [42874549, 6008004], [22903700, 26484846], [91461410, 64336231], [64924415, 76617951], [16810059, 4578001], [44632801, 42137185], [55536073, 25721306], [65848683, 22195258], [6071231, 88686696], [39274818, 34771086], [19960550, 26982967], [96747712, 54464099], [50730578, 94284160], [62400785, 47705544], [33225602, 85270871], [20332375, 71684648], [74595305, 3818576], [65243483, 6103152], [71870258, 69674490], [33772903, 45958386], [31114559, 40612442], [28871674, 82031399], [26457080, 60126550], [7894658, 2488113], [13927506, 95624251], [4950292, 62325107], [55629033, 39786989], [50895704, 99460659], [79476639, 23148928], [52665843, 44570585], [74850158, 18610167], [31888801, 30279820], [72161439, 81666679], [66661551, 97511306], [72832738, 27687606], [24860132, 80696528], [35890282, 24845158], [81846, 39783301], [90759490, 84546003], [42120580, 25868841], [11906730, 22555864], [38512529, 67844446], [29562900, 56822076], [79899631, 66149124], [52980993, 6212341], [27754044, 28928388], [17711512, 69318321], [39681181, 27895110], [86600458, 51299396], [31833078, 83213376], [69703566, 448444], [60244392, 50963189], [93044074, 35203311], [97145129, 81244039], [71262879, 78454972], [13130899, 5678672], [88018980, 99280055], [21114718, 89052792], [11424182, 33260224], [52935740, 84620277], [75503314, 34747818], [2773754, 33503262], [79318731, 46589490], [33634240, 2905506], [40182972, 8273568], [62652356, 88282170], [46834441, 95499967], [32101802, 59396499], [32418949, 78738096], [62144023, 12944221], [20553528, 20475354], [61520694, 33012076], [60505785, 17203869], [8067049, 66941430], [85885688, 20348698], [15024516, 52974248], [81919049, 77349731], [48906612, 5960141], [58595794, 42849711], [83929878, 33934684], [72932647, 26031488], [84341225, 64325362], [21195820, 95323916], [25026290, 22810488], [31200891, 89906032], [7497143, 39460177], [98863573, 25491138], [37874055, 2787671], [86120079, 16388436], [22427609, 23587872], [65045919, 35467296], [68286098, 4863727], [50109633, 8005258], [45925878, 21435544], [82852320, 68488174], [40019218, 7111156], [84746849, 66389378], [11175938, 68044198], [62545390, 12711494], [28549968, 45627765], [5971379, 82924882], [33209752, 85590638], [96674278, 29527653], [50071008, 2317226], [27826616, 50092820], [29553161, 82788442], [62093819, 47286917], [42220375, 73686085], [19824114, 99775900], [73655040, 64713558], [49797396, 17942328], [12309209, 1997596], [63204601, 82392258], [79832442, 74257835], [78920998, 82267331], [72340527, 14515023], [55115240, 6705177], [44931737, 25846299], [13715191, 49120449], [50051729, 90744288], [25604598, 60733587], [91939763, 92880021], [15200432, 90498312], [60218170, 6934316], [18185841, 95753525], [9098379, 45434281], [76331473, 73731611], [18007013, 84864189], [89239889, 57145751], [88677587, 1160605], [28491048, 99482494], [39483715, 12116908], [71786409, 46347132], [80574745, 5236593], [91912578, 34402033], [91444511, 42118307], [37112803, 4941813], [81469240, 33976149], [90874441, 95270986], [25303674, 62405510], [72239705, 68361490], [73999529, 89529034], [77279653, 77018319], [7221915, 6175301], [40627314, 94589358], [12823493, 83068227], [65259456, 63568307], [34966432, 61895677], [77575702, 57293994], [56351719, 16531548], [71128879, 47036022], [57487588, 97696099], [49494460, 53313150], [59313430, 11223930], [52173004, 44648104], [39672156, 37336044], [58263615, 67074972], [22438875, 76211677], [64220222, 9144633], [50354648, 88136776], [10918004, 3090531], [67703639, 54940741], [59551763, 55109815], [80904695, 3138657], [81131069, 8984496], [33666843, 23471216], [81649260, 82524848], [10480523, 76222979], [50675336, 70345990], [72582556, 43616958], [84419199, 96625977], [14406802, 3063889], [3319076, 11044819], [22428888, 86334981], [33953821, 28150193], [69493259, 96847016], [79827807, 59077159], [89141946, 60851635], [7376653, 64707000], [51054374, 98430353], [57815883, 61679986], [90608180, 69196275], [11289293, 15764746], [5230914, 8841821], [90754796, 77325454], [33554904, 35364292], [10474219, 73182114], [65023027, 2925439], [35346977, 62879879], [54633632, 17627947], [21360693, 74257736], [78365820, 76199857], [59375838, 81825668], [29328767, 97070975], [63579419, 19506949], [47731261, 42669271], [37787218, 32693710], [47646242, 86194744], [14858473, 51387817], [7242995, 43413372], [9421761, 93125643], [71799108, 30741075], [18201262, 72654784], [67018968, 52847624], [73778849, 96824345], [75938001, 89086817], [10126971, 38002670], [66854484, 3627353], [27573282, 54213154], [86181766, 48799059], [11046938, 41499158], [85468727, 92597634], [45597628, 84334277], [54395392, 6616885], [9199291, 63433333], [10176024, 1813027], [7515063, 32273126], [84529380, 63398762], [3090126, 31220196], [88383212, 69256044], [47813859, 4436493], [71649873, 22090611], [76752131, 51376958], [14558579, 29019572], [14215984, 36624576], [29156800, 58282921], [51716545, 68090963], [17291133, 30745491], [6804874, 78028874], [49606883, 38687495], [13155450, 11268756], [83629615, 9237072], [48304149, 1080944], [42597150, 88836009], [84427814, 72501358], [99113199, 66574298], [84030840, 26012181], [2668808, 5789918], [48705708, 99588394], [41679364, 26341434], [78186342, 45967534], [45294592, 11621360], [88953370, 32173272], [94835300, 53290835], [26700834, 94805928], [60289131, 41056493], [39446246, 31095483], [85987972, 48732277], [38707098, 85219458], [94865910, 6933066], [58569598, 99845529], [44858502, 60225623], [97502259, 28750969], [84747811, 81914099], [21692156, 36515152], [87609821, 94836198], [37273167, 84101491], [48434657, 33082277], [64325481, 90128870], [76962289, 73601551], [17545547, 82851769], [86473351, 21289965], [90470830, 10005851], [23158878, 17033993], [44602424, 53395845], [44243202, 77347950], [68516594, 79287339], [27810492, 81069718], [90162757, 30098908], [66194493, 12636258], [28384930, 87650347], [43714693, 39340173], [91168662, 76060024], [84298878, 55947552], [89314472, 18816713], [40962593, 63057447], [8483620, 79620264], [44591286, 15153427], [72693606, 62799222], [48163921, 42730555], [82910234, 31635907], [12924917, 15258296], [51861416, 81984842], [86438721, 53274180], [10528790, 53636468], [49819861, 19915872], [49508524, 70050030], [85167872, 57301362], [17476079, 4572411], [94970184, 62621039], [65964374, 95110426], [85042060, 97648146], [87709803, 111675], [89922960, 80590580], [15921428, 69249445], [33519028, 73735622], [96199999, 43140367], [63267518, 31404847], [50685772, 99558790], [51186024, 9862824], [91460262, 78854434], [58822608, 38437057], [68579119, 11449572], [52180935, 4927185], [25196141, 46531471], [52773787, 438360], [94309343, 94242616], [47868727, 10758421], [48716829, 52449467], [61172558, 9542025], [78657601, 58265241], [15716731, 72506234], [44542831, 20587020], [94227920, 68328927], [48674648, 43085206], [88170908, 90237378], [39794055, 47096437], [10538745, 80584781], [79477273, 85863907], [56991408, 1575226], [10343098, 77029395], [61831279, 22784618], [18930508, 41364901], [12388615, 14414576], [75413584, 63484713], [10803238, 74974479], [88760928, 9707236], [16809890, 24296336], [12942428, 34056136], [99675357, 22659198], [75065272, 86717906], [97843627, 43204453], [14952254, 77393704], [70083450, 3969347], [48955947, 87361749], [64849526, 21877321], [19051340, 57474907], [22229407, 3911187], [42084640, 24278873], [35829409, 88322930], [11577585, 2084397], [15669521, 71937122], [84800200, 51247971], [78818961, 40937048], [86925312, 83047942], [20291493, 14653690], [75353934, 47317596], [24888251, 24277708], [11571933, 78719741], [15887793, 1506444], [24703538, 10098983], [62440902, 3096471], [786986, 9377725], [88778202, 21615371], [7340550, 39509118], [46295953, 26970514], [64555092, 61112968], [48857878, 59656880], [13962826, 5141094], [54634700, 31189660], [28274729, 48789879], [5092456, 10171339], [32047729, 27097613], [67996724, 55334443], [22119535, 147005], [89347689, 39362871], [29137778, 53035433], [44084315, 71172028], [39324756, 98017125], [87972932, 31588096], [61047244, 28966511], [56941421, 9552259], [59843704, 75077299], [38398023, 10142085], [89497630, 95554269], [11605781, 76768762], [61525595, 84044958], [59751186, 65055351], [45886224, 81825070], [18922532, 56496300], [7714495, 65113453], [42601566, 38090727], [74734073, 54710396], [48286454, 59630336], [7200694, 74247003], [51934933, 4785146], [24299267, 42262641], [18185693, 26479142], [56767319, 6692185], [78663609, 47593196], [21497724, 84236150], [99328165, 69792152], [52292406, 32246710], [18190283, 3405804], [19383205, 46296475], [55755262, 1177128], [26756622, 92752536], [35921588, 25125279], [45592879, 12503406], [40219025, 34002394], [77983893, 50951535], [76815983, 17780935], [69755485, 88007958], [83410860, 82887163], [53634940, 78595458], [98803800, 38102168], [98592594, 69527442], [59704528, 94208441], [35662502, 31139595], [76709798, 58803429], [46746040, 60426272], [36841840, 87244922], [40669084, 5220673], [71390866, 20007510], [36657649, 6364863], [97983709, 92413347], [99540745, 30524754], [38627869, 96163996], [42697625, 76650803], [53801646, 77129560], [44235990, 82976516], [3190380, 62761923], [29833429, 49119404], [36124624, 31706728], [70442501, 58188075], [51158317, 30721330], [71340717, 2683726], [40301303, 7849049], [88971748, 585505], [49704991, 73955621], [20319166, 58659032], [19771736, 75931974], [39703284, 46030046], [61186018, 95393243], [45522286, 42025549], [40365720, 42137211], [1016728, 72831854], [74043657, 80318518], [88755948, 82566428], [37506543, 76707157], [46335180, 51210469], [40578641, 11095920], [81988436, 73462091], [52858198, 48036178], [42253886, 58613328], [46039364, 79596637], [49981640, 6925076], [36710332, 34607844], [35495783, 34245643], [3853495, 56433646], [88922111, 8365073], [90403439, 78223062], [95150380, 85090133], [97893960, 41057775], [3061746, 6422321], [47647798, 76076223], [51905744, 62491537], [29194266, 11118922], [78620646, 8862429], [15100524, 83822945], [52142836, 41692401], [40725177, 86693173], [77771298, 31935987], [285270, 73928143], [81915624, 31015990], [28615062, 52163589], [83784753, 69730037], [28058622, 45068530], [12003859, 25391816], [12482591, 21021248], [77436643, 2773835], [57319602, 16241415], [40521684, 39960659], [85711989, 14262075], [18150886, 86291340], [59965225, 15473146], [7153950, 77798686], [71534561, 90171917], [47270172, 23604287], [74503854, 10494593], [82700690, 31645841], [88100103, 8843816], [26538732, 16908673], [87188080, 66129503], [43480666, 45034582], [61768962, 61145474], [21366226, 36321849], [49886417, 33599506], [44817756, 55476088], [45122148, 10143238], [31727009, 8565679], [17706467, 71125924], [96169795, 90282458], [27672844, 64619878], [53954605, 56130346], [70909811, 64427703], [8538209, 43577409], [52904663, 59484630], [67105856, 23523672], [75729794, 13160160], [25888887, 89776027], [29789477, 63116410], [38050160, 76510529], [31477872, 77693920], [93169856, 97134548], [38858628, 36465077], [36819578, 80147961], [553059, 15980628], [36858291, 29583199], [968841, 40363926], [12137066, 72448706], [45054932, 90133844], [22789756, 7911152], [12451856, 10295059], [25958471, 93363282], [81887909, 70573501], [70427341, 22562526], [48766693, 44708343], [99176219, 91169522], [13469583, 7903249], [58028971, 77044286], [38166952, 90185492], [67818891, 30581266], [43017469, 3542351], [16063764, 13870355], [57652236, 86777004], [61907163, 50593666], [30749703, 86676881], [46451652, 9303950], [57374982, 69598461], [18378434, 9684363], [56551875, 28117119], [14848934, 3868550], [89452800, 90390362], [74699390, 653277], [32628844, 5119212], [99665132, 46003891], [94057830, 88482047], [84975775, 71921065], [61783750, 33392343], [27385603, 42445723], [74095223, 29604526], [58739312, 71537702], [30603410, 31841315], [77607875, 32500510], [87649005, 91790371], [11608096, 84508233], [5809676, 95503812], [11657625, 30754279], [23916750, 19659327], [98393383, 38116948], [94056333, 40221886], [41868160, 6016495], [26988751, 24415639], [33640708, 65907484], [18469825, 42961871], [96185387, 61413537], [93084699, 23268417], [98163040, 35799348], [3737746, 43930900], [82654123, 19065360], [41714920, 32093231], [6348182, 55308237], [11806391, 96800034], [96926851, 44542840], [52939050, 97502551], [22330659, 77138286], [74671214, 77455591], [49355436, 66146218], [55290088, 54869875], [82295785, 66518739], [99323009, 37004933], [99626657, 58233437], [24623383, 58014971], [68660933, 13682017], [82970767, 2876465], [56905965, 81638073], [37558475, 95903193], [95512538, 99883072], [9354478, 71535016], [63205438, 40276767], [68482262, 63498498], [36594608, 40476778], [14102311, 64405440], [43629417, 42402762], [35634996, 11039128], [88645543, 72098868], [14528024, 71442932], [49349417, 15830248], [44737714, 16588761], [4169630, 12508605], [51757693, 77880349], [67171676, 47033826], [65479065, 87872677], [97162745, 93041068], [75192482, 64874019], [46192807, 76057079], [74218830, 94012835], [26299500, 47660654], [25855810, 73239786], [36099403, 64987402], [85375018, 73073261], [59551864, 56512672], [86798149, 1995816], [77868287, 4802311], [98506738, 34289181], [37549518, 33100107], [6464542, 81454710], [55587681, 4578862], [22466374, 27020313], [24854540, 96984603], [44354259, 97528640], [3794459, 94012162], [36849350, 4679038], [57459859, 56402012], [44557439, 76637521], [52059618, 81861094], [83032231, 85159623], [81001963, 14130184], [59128206, 10959537], [85795334, 95007644], [47968237, 38814812], [79739492, 48787252], [43378639, 47619802], [66990589, 80209998], [5509841, 6878749], [87622141, 72174061], [99721680, 32313860], [61912712, 52720041], [5336911, 44442357], [57577588, 46922716], [59779739, 81507145], [68178605, 59053009], [32480323, 47903482], [27360441, 38369712], [28540469, 43005846], [58587551, 35293014], [33122086, 56656186], [51656312, 44857593], [35317238, 36993915], [69190226, 41005412], [63228327, 51237312], [2467080, 49671236], [54290579, 67154860], [52038049, 36763840], [34206260, 53441710], [60825332, 68588349], [99520053, 13908039], [37834239, 9171764], [85277410, 64538410], [45658009, 83218173], [14881191, 96414522], [67203293, 94032645], [24278528, 3031388], [93845036, 95844689], [19826417, 50389321], [52454415, 80993059], [52783357, 70373057], [12015996, 15243324], [1099677, 66160178], [33232505, 33152951], [1580698, 20205673], [14019417, 68748027], [77587023, 61096022], [50774372, 44647903], [3142634, 63450728], [38253641, 30274633], [73608047, 97732148], [51342754, 60358792], [75343347, 98442053], [64434659, 50646161], [25038261, 94599024], [15453830, 87307334], [40304744, 80545805], [22844998, 98553609], [42158055, 41403651], [60913200, 34399150], [48998944, 91984623], [67399474, 59578523], [65827479, 31411632], [5476959, 85023559], [13971513, 95535677], [66856836, 47818780], [4480873, 67213416], [52591447, 27668972], [46585120, 7092232], [89420201, 67103665], [26486990, 15665699], [38260981, 64444070], [66880935, 34748853], [85817751, 9072482], [55737906, 28520305], [57409938, 23510425], [15685212, 71671960], [70032121, 30186424], [87243460, 51123810], [40259380, 3196275], [78380006, 51576239], [8361890, 93537970], [16981490, 47819513], [95819239, 14287940], [17403145, 26225141], [45208371, 62895776], [13588759, 20739644], [71581719, 46930507], [79181357, 15811219], [41376760, 43634999], [28801518, 18992357], [72640322, 87590629], [25224237, 44302976], [1648518, 96238308], [58165809, 73013597], [9871063, 71647689], [42426973, 48474224], [43614886, 58300213], [93096084, 9945937], [35343088, 45145596], [59249831, 86386563], [20892852, 9519246], [31807106, 8054527], [78715609, 88585597], [81299545, 58791081], [8243627, 61818674], [90021377, 53847855], [50980196, 55802261], [89810298, 17219381], [45832487, 25184075], [45189312, 5697563], [93815365, 15967947], [47458379, 99532558], [99105172, 64968411], [29607947, 38221671], [36660769, 71308963], [95736474, 63603763], [45523593, 77647294], [29181670, 82678267], [16702235, 55729571], [85615642, 13869234], [54657969, 11960079], [78608618, 17162104], [75098767, 32908668], [26830781, 14769820], [81014839, 77188770], [62256868, 86364012], [14203274, 50161570], [1825961, 59978140], [75185302, 36962632], [97508888, 41314878], [69595396, 26106483], [18663895, 2182378], [36571137, 46155298], [3016629, 34990060], [18241633, 95953593], [58854400, 85871922], [27319656, 50104904], [73277149, 1444506], [22381636, 85946368], [76436466, 4760634], [65635296, 10893839], [5974095, 25480350], [50568879, 72450027], [97023403, 7707193], [56574879, 42670859], [60494740, 48243309], [33624703, 73594587], [31185487, 92999793], [1582718, 63845280], [84155440, 55117417], [76572210, 92011627], [11523801, 30192475], [45248960, 11525777], [55500572, 10555435], [44592053, 7229122], [20535241, 46824291], [25392939, 34006666], [48853218, 95195803], [20691609, 65571768], [89845322, 2431995], [99054571, 90536807], [80241015, 78711294], [68234384, 40253598], [9723936, 11231716], [34650326, 65587140], [55920595, 25174747], [31237367, 47884107], [31859841, 89694766], [52278770, 66394946], [29213660, 29167357], [43933041, 25204532], [69824495, 39603028], [85536563, 72160079], [22594429, 72405499], [51043817, 84859929], [5294095, 29279407], [38315885, 89491722], [25785560, 60803240], [40775559, 14449655], [29760517, 59231032], [29594903, 51645446], [90835618, 20708188], [53800640, 9175547], [8551915, 25752831], [52416509, 71702204], [69507875, 2955927], [43220709, 1250778], [41974140, 54269597], [95343008, 31018345], [64701945, 7916405], [20697401, 39527792], [7446767, 86075062], [55593615, 33628181], [46696824, 81031789], [6380928, 63376480], [8725407, 87385085], [54209730, 34873296], [6858879, 88134098], [71709892, 74568847], [98866535, 35250912], [78942281, 84771534], [56377637, 63120770], [49326845, 46148409], [47082758, 1474406], [52470520, 36960061], [91201711, 46736286], [51426317, 84971392], [81821107, 99584568], [117856, 64810137], [4320832, 26340932], [96921761, 44559168], [95075824, 13705205], [22878978, 79107044], [80579156, 27475796], [59892796, 19781289], [51375610, 43220057], [99472042, 17330583], [95829788, 59580805], [85866128, 85853070], [29162584, 87072049], [75138551, 15050613], [4975455, 50487198], [59987956, 4039643], [41714481, 73604452], [69648384, 51053257], [42014757, 26142995], [65045845, 22973353], [19357456, 27646669], [72856007, 31179066], [73275052, 29551124], [96871611, 2496306], [55748070, 51449323], [17576806, 26108067], [22278271, 25922869], [66843741, 63099249], [85952041, 90642177], [4583826, 32735759], [74430175, 65266833], [15932121, 8224111], [8912668, 46781961], [82622232, 35330621], [95989523, 8647302], [61165787, 73178342], [64503639, 77769399], [44301717, 72933657], [86277608, 37932643], [89365094, 86012646], [8062899, 71759001], [82549419, 10029905], [40650872, 81076184], [41949809, 53262846], [20531366, 93868529], [85330049, 68552006], [38750221, 23034803], [26001303, 53040357], [91253284, 19038382], [86356619, 11278269], [36680973, 98965615], [43852519, 1714741], [31998965, 95233583], [66449504, 12542564], [49028301, 801154], [16217070, 98631532], [19075277, 95104941], [58331352, 18645668], [75012229, 7505132], [50906197, 88458072], [43669394, 65702641], [30118800, 75280787], [57712298, 8695021], [25029673, 71269682], [87499997, 153861], [62217984, 35230221], [90611463, 46392313], [66126676, 35474274], [56423961, 13335616], [13025621, 33370476], [59384278, 87101628], [40379400, 76229650], [15171743, 62349823], [74452222, 32086740], [88296066, 3206025], [41615148, 48176376], [80037498, 36000170], [30197196, 70171757], [22708535, 25250100], [23765731, 73888001], [14519197, 75691545], [74964696, 72809999], [5400601, 88057612], [91326451, 60554897], [22772643, 44235171], [94570748, 92433771], [48130665, 41687439], [91793771, 64215635], [39605334, 48015014], [49581013, 6851529], [94652802, 98095023], [92146571, 37807476], [84709858, 42899573], [88671688, 21353953], [24364682, 87436296], [40389044, 43701062], [66492868, 39982754], [80402207, 63734495], [23689986, 31852014], [22468315, 98911098], [72273384, 72029661], [64186510, 74632637], [71034360, 41885893], [29550035, 44802892], [71379146, 50339819], [92419160, 79468749], [79640816, 61176226], [69218685, 12711005], [87918873, 43756767], [25163074, 14217511], [58010754, 98476535], [34474556, 1258018], [25318611, 26480753], [82178895, 55821652], [51213568, 59513781], [71208520, 53433362], [65035918, 96154681], [48712998, 31823870], [13565118, 81461791], [19454568, 26320652], [19260681, 82555169], [19730594, 72996976], [7329407, 58493979], [45591080, 59050669], [22258370, 86055228], [91010773, 17032009], [76120982, 5107046], [36312460, 86777792], [25113751, 83019589], [92452273, 27610328], [18705812, 51850963], [2559525, 70627713], [67781261, 80082476], [90066446, 8381258], [50509194, 78318756], [17327225, 6989487], [2475914, 84910418], [22148027, 425687], [81189234, 78004318], [21878339, 5506279], [28608163, 89835771], [48032675, 73291098], [13679555, 26933523], [33562934, 30923211], [37129434, 31932633], [9357938, 5569036], [39789840, 47863461], [90193816, 73554215], [81921186, 7747587], [7329380, 78690900], [61595347, 6958964], [5560612, 54587032], [81995146, 41014609], [41238250, 26478130], [81199371, 89458950], [22717285, 95935261], [45418493, 94729252], [96452793, 23058903], [68914651, 30137079], [9645237, 4542752], [89807805, 84088368], [36359764, 60546759], [60733416, 3936088], [83100544, 20976049], [84749455, 98327262], [57990417, 68050640], [85253701, 95323117], [39616656, 96244482], [96298126, 55910041], [97472738, 64881623], [25428525, 19881233], [60766887, 74310690], [34230960, 14192528], [90922767, 15641721], [44219045, 12287979], [90518266, 8350109], [82004265, 24887619], [79845096, 18985217], [81143721, 5401261], [44441203, 35654463], [85084200, 64401346], [86072337, 77883507], [26456230, 80660359], [97257611, 31917457], [11905618, 36780985], [87443216, 80206740], [30050716, 54598297], [47195711, 36194461], [31310937, 54600577], [17443601, 31453853], [12931751, 11543251], [83990921, 79899142], [42228046, 31058198], [8881060, 9016860], [3992618, 13213149], [5129293, 91489166], [51184617, 61286475], [56013548, 64639625], [2024617, 22616266], [37884716, 75245289], [79375891, 8782684], [48303704, 30163151], [90382865, 48657377], [69198898, 26417431], [68901484, 54834535], [92845411, 59756715], [75773350, 43898218], [61598385, 17188725], [1263205, 55809703], [85631238, 88057335], [77188905, 35313014], [56608297, 18447498], [80775906, 82013762], [58134016, 88543597], [57200805, 52858306], [67165235, 97957731], [27114168, 13393201], [38352891, 63282600], [39467489, 35194851], [48987897, 12723532], [16308442, 75668518], [4132490, 90573273], [3167669, 76453284], [69826859, 72924827], [63405491, 55858538], [64405362, 82407305], [95619343, 46228203], [95948351, 2361572], [72050779, 73059547], [7011231, 54976393], [87840131, 73800424], [28268285, 38523837], [76402163, 99049202], [99071063, 46747459], [93465060, 36915671], [95402056, 39411295], [21000716, 39262106], [72471256, 20998849], [39344971, 6945448], [49271708, 82278036], [83383067, 76342719], [11840692, 3049726], [63425030, 17284671], [43880957, 23973517], [42783680, 20668253], [65672772, 65567178], [29132426, 24510677], [84407664, 66059814], [31368263, 79192856], [93483830, 89948525], [22550017, 88505867], [34761166, 62530854], [4392040, 96228637], [48616940, 78220296], [94100896, 54606061], [53524942, 26159711], [41397398, 86455438], [93418709, 29686375], [70586301, 56250975], [55427759, 2344776], [76040164, 97332161], [53987430, 48188859], [41183078, 52445706], [58347734, 47213116], [81067487, 20036150], [4819234, 38031098], [58676270, 76497126], [36595938, 96688803], [64645676, 39715242], [5653868, 14815140], [71684212, 8989265], [24841499, 21404960], [14846289, 63187012], [80632262, 60517179], [16193941, 91896891], [61586266, 57173735], [59744282, 63156318], [25106761, 81523828], [99009564, 48377227], [66621311, 44915435], [22495731, 10655016], [77063841, 27954212], [33550475, 64998388], [53042895, 1569615], [83133874, 70888884], [76224193, 39830653], [4776097, 71589016], [49025957, 6010845], [85558357, 10998771], [45225796, 66153541], [46329407, 69108806], [35444430, 21633627], [37451216, 57014361], [89956514, 66296621], [78395311, 14630280], [23650821, 41525542], [21817666, 51701578], [74228494, 61406187], [42889594, 84858904], [80393367, 60901928], [52406470, 23624302], [29860809, 85489446], [81926657, 90108773], [51489904, 31568626], [6144904, 79148913], [68419859, 52346570], [9579685, 8279591], [28081253, 64758954], [34617168, 24522619], [82862537, 1556993], [70459160, 47940778], [86310898, 47637062], [97708215, 8124423], [91791693, 66798350], [51856063, 61820475], [13862849, 23558062], [91136936, 72516768], [57393939, 40915157], [80503813, 64610335], [75490280, 71175707], [82401627, 92415011], [45368711, 29973777], [91029101, 70231561], [29261044, 93089888], [43505363, 42367543], [19629390, 89480447], [93802080, 96202354], [69737744, 34523864], [30633275, 82614009], [56448723, 90925899], [67256634, 45154447], [17660269, 17132547], [84365595, 99548987], [7647867, 80898335], [72810451, 88224851], [1870629, 41105335], [385577, 65600168], [98888337, 91694324], [53648248, 56440194], [38298133, 16662390], [58682365, 87039895], [66258824, 32712881], [46652223, 34416108], [35077701, 49333337], [20948509, 79711175], [84881382, 2363929], [17758179, 21094768], [38179254, 90647879], [38169503, 68129287], [88470251, 76885466], [87829791, 28359555], [46048184, 98455918], [98425222, 46471175], [62010147, 62790477], [49745800, 53811572], [1814557, 4187478], [12287750, 48374346], [63707327, 61713269], [80284100, 69757231], [63594973, 3000719], [67586581, 43581884], [81512459, 54126881], [14405910, 66494058], [9222166, 52227553], [36327999, 24923608], [35951185, 91802073], [58540246, 97171656], [42222408, 15530652], [55745494, 33424654], [42073056, 578954], [12404168, 6063431], [47003178, 17161850], [45548122, 13504218], [70058762, 56929951], [40469750, 27515959], [45041985, 54075045], [38800369, 10279479], [50389118, 64986174], [44541479, 95461864], [33600264, 24389577], [77981353, 381423], [53601152, 72122227], [95557257, 71799328], [74516494, 95919302], [44798086, 5640636], [12739310, 10061955], [38740433, 47605552], [3773221, 90703168], [86053178, 10798055], [16109028, 25630205], [8865156, 35149681], [54591023, 84421983], [88355778, 43004479], [80398509, 86852446], [88537252, 4146868], [5754852, 28901725], [4550238, 75225141], [54140592, 6739144], [28426650, 68720038], [58556348, 66397681], [17189528, 15322853], [44533370, 16611331], [62540363, 38442713], [72239509, 36799766], [66238875, 54113373], [98894124, 32804121], [34824284, 73506273], [36871759, 60263472], [7024086, 37595101], [94159882, 48910829], [21924397, 9864366], [42081331, 82593250], [35062975, 27962519], [13515249, 77171459], [37264492, 32354951], [19898985, 88376791], [13584902, 74131879], [99096149, 45072317], [93314348, 85782751], [93386370, 38622272], [89279076, 53259319], [66563497, 60300820], [10444054, 54679785], [53013869, 44888845], [31849229, 11777369], [7497358, 54329161], [95792498, 32174306], [32881725, 2133931], [41221380, 12357834], [2654229, 75694084], [64728799, 80812937], [50693236, 15356575], [96796213, 61887499], [24379493, 14290652], [96790579, 8295857], [74080141, 83508562], [84156734, 35048153], [27858087, 66521587], [28127446, 77621260], [10322731, 82008834], [49822948, 45519774], [74112394, 31900790], [21542717, 12347045], [81668616, 83317644], [22120187, 69356419], [92901207, 63371634], [17132308, 66033749], [15748071, 36910249], [27070835, 78100696], [53427656, 51470179], [91041861, 40460791], [12985135, 53739897], [12925848, 80464461], [5246754, 72380041], [980256, 20246484], [10256189, 46223319], [54006726, 44267469], [56743285, 84782742], [49595748, 40562951], [83979190, 35388809], [49790695, 74834875], [99039711, 30645018], [56341582, 52351666], [18197662, 18707731], [67806864, 48164315], [67418995, 91659010], [8251375, 74057350], [32826021, 77816805], [14083915, 99271197], [16184535, 71344148], [90883308, 30662041], [66640361, 26377949], [65148020, 44147324], [42332813, 76708653], [55250235, 79497947], [45773465, 59084297], [18934455, 52385943], [33314042, 89718676], [78190221, 65434660], [96500264, 12466260], [58726905, 78614819], [48851442, 26086827], [92833010, 93989226], [2523155, 47011596], [90519624, 12781047], [55322737, 56027060], [95308987, 38896075], [54761359, 5327602], [36045279, 10000404], [94818039, 82832764], [77060595, 81764315], [91979505, 55885393], [41465057, 53386310], [36013324, 92400739], [79078813, 90017293], [19692591, 66135376], [9107378, 60523294], [55256542, 42950985], [1961260, 80640821], [45535445, 25638430], [45919714, 13842618], [68673476, 98560633], [6112734, 73789328], [98321461, 92529178], [44645113, 33255374], [66214348, 95925473], [54560432, 8026548], [87505436, 73031367], [47435757, 26784358], [18525533, 56784592], [56607033, 10744566], [78747531, 2479132], [48226526, 18754539], [37044295, 79244078], [62786118, 86678782], [21857273, 66918348], [90912186, 91283710], [36270488, 72708604], [59184191, 79413866], [11091733, 45079371], [73788521, 76695426], [92187975, 48235333], [86669108, 51053088], [60133067, 33684997], [52039396, 35289957], [65257886, 27588876], [13980179, 29346718], [95194534, 571043], [67933298, 55400725], [97550497, 40199108], [1952093, 67511300], [82178634, 74403687], [92369863, 97949115], [11369459, 87302392], [55707207, 21264270], [99578621, 92735431], [10939017, 1194667], [70847294, 12886915], [2916622, 7407433], [54701660, 16868205], [35645404, 38398730], [6649390, 96487445], [69833418, 30905834], [85613620, 58912074], [60567280, 2598140], [13897518, 80966263], [44921272, 13502953], [80680008, 48374241], [94531843, 74310898], [25720535, 77816514], [65073847, 66645483], [15157172, 33924211], [28176388, 52194407], [97039014, 33702877], [43087154, 28439018], [19484627, 82602252], [89936823, 31962389], [46345578, 81480489], [42503952, 23549195], [23881952, 98077428], [23071982, 94329733], [64036368, 38626246], [72150382, 40128873], [82714088, 60681733], [41134011, 83843803], [35879953, 24470291], [73424623, 11223348], [26643863, 18302805], [28810348, 16087741], [9693222, 92469544], [99584133, 96692383], [15319972, 58706573], [44853454, 56623039], [76625307, 56357539], [75479996, 86147070], [33685449, 66419839], [62139977, 20718368], [15069512, 12437184], [45624336, 55636941], [21825771, 85536256], [61735457, 5320847], [59801946, 13323380], [55321709, 79589987], [65505494, 89688445], [96686242, 72983377], [30562312, 62409728], [77529852, 25862146], [63401431, 40012069], [96497116, 65102678], [23229247, 45466190], [32026412, 82420843], [47272724, 42969413], [37918302, 36736846], [91629429, 42981368], [81807360, 62012902], [30930663, 16218426], [88100670, 53098853], [12079793, 2712433], [37182801, 4929399], [31293691, 27309839], [88404430, 94135392], [80282756, 86997984], [96387935, 60728476], [15345814, 99580270], [95248254, 30798219], [83984595, 19637484], [42612315, 43090776], [91746051, 5408442], [55967359, 67957062], [73524753, 54284427], [21431914, 50122534], [87953711, 16607614], [37217008, 2081834], [81047288, 24555187], [58436214, 13211750], [74562193, 64248339], [38914917, 6511792], [98389292, 62840793], [46730507, 86955491], [28994391, 64842294], [89554220, 78365393], [39204490, 2519294], [66445439, 16489613], [67893202, 60075316], [95406903, 15928545], [30910901, 80802866], [75099525, 50687150], [34278810, 65008933], [99403859, 29710347], [54959212, 66764918], [57265366, 82328286], [88535153, 13102891], [36752969, 85243842], [23251615, 88110744], [97810065, 26661467], [98850087, 37703748], [86371843, 75901063], [94950752, 84483808], [75205056, 67064956], [36745750, 15346705], [52731457, 19047542], [51906199, 95153117], [72927376, 52882720], [60540237, 13325604], [546619, 78790460], [23032038, 29604532], [38180460, 15152863], [39386820, 27111826], [74794605, 49446692], [53216431, 44318732], [47016220, 50254009], [85632214, 96084876], [88516302, 92090012], [97408276, 74415063], [24813215, 97412080], [54372256, 66910215], [73479443, 55140865], [16782136, 61576266], [59692089, 94690415], [62824116, 64400672], [29793525, 56821807], [20122384, 33882418], [1133761, 92067012], [22353332, 81303249], [29988502, 62053212], [95381821, 68718602], [81441243, 11745171], [77524869, 12810828], [21975506, 83905135], [15063415, 68955148], [64777792, 24923532], [98242387, 20008848], [71463899, 44708813], [72134070, 40806902], [32042235, 39859738], [16095231, 6703703], [21655534, 56669205], [70388833, 49203330], [17500941, 58004452], [40644549, 25421494], [38080192, 52557624], [43557917, 80419325], [39177616, 65988368], [80321787, 64206211], [59636123, 63227211], [79586000, 81939975], [55993504, 60641421], [84454205, 12324737], [40647727, 24501109], [24665512, 26293874], [90665313, 94575417], [7058635, 61188867], [26339035, 47825556], [10398887, 48962242], [39410712, 25452962], [46653960, 86064010], [81555206, 97047089], [93588882, 53625738], [86934970, 72537463], [73915155, 2799885], [43062970, 82799869], [99542448, 72893816], [67245136, 2178066], [91689157, 87015260], [51323793, 71020497], [94950077, 86614281], [18989687, 83099528], [11229066, 59881443], [64796695, 49212350], [99581025, 6431646], [63996038, 86123665], [63598280, 87309168], [95627203, 88182270], [11212053, 91795031], [39482415, 69420715], [15844773, 21030082], [41338496, 97971729], [96895189, 33944830], [60093435, 67866262], [93448589, 15598675], [84449049, 65728822], [89543254, 32737163], [77511967, 6498089], [91533154, 33254692], [74833254, 50528443], [98258318, 95284455], [51422738, 15456966], [40656075, 14737883], [39437554, 32996], [33298200, 15327875], [76803163, 46637473], [11603162, 78886313], [13031702, 13861017], [54670100, 40702923], [35417414, 41344083], [5798349, 32471099], [1161672, 28754372], [77873678, 57970469], [96115018, 30452109], [54218136, 90799434], [98823330, 11458691], [17215840, 27214170], [87979953, 44681796], [47318121, 14366318], [23918595, 77593844], [55779153, 42468475], [29576844, 44959071], [47536455, 20260504], [84738836, 29189051], [36965991, 3760491], [69266066, 52746213], [12694255, 18535272], [80898971, 63753469], [62394792, 3280707], [80659084, 52947624], [20944569, 66467965], [5749487, 85230546], [70241329, 52932697], [48323036, 90654807], [33247313, 2879131], [6689965, 88763524], [66210889, 63017304], [21018885, 96314045], [10384783, 87878010], [90485535, 17320847], [14920137, 64889465], [81305063, 61591176], [29032838, 75404359], [60828530, 47091681], [53913569, 40471231], [36767976, 86011754], [63162307, 40334202], [98427283, 180779], [26141527, 91990080], [63803631, 69074228], [4600540, 63649507], [72386755, 59575939], [21415083, 19916014], [26692577, 27507795], [78868831, 23575627], [82742366, 71778728], [89551289, 46532656], [59017175, 73155587], [67159593, 17215283], [73768299, 28223695], [56508603, 5038054], [93312924, 88735146], [99396176, 36585341], [75159240, 50787602], [85236767, 97056957], [59045206, 96334946], [38441777, 19700560], [43725392, 15327624], [45539182, 93138789], [47837363, 22177075], [21968015, 74281607], [35688324, 30892138], [7970868, 2203644], [65928720, 88425694], [61822378, 8942210], [13761129, 63663008], [54134025, 97556034], [7811395, 58321116], [47277548, 78207486], [41631690, 69531751], [79987404, 90300436], [72120334, 63523925], [29385015, 38924023], [25710434, 8228871], [65261224, 41830162], [58308490, 187184], [65771710, 11567471], [34558438, 77182825], [83412230, 54739728], [20661037, 74280423], [83946177, 41334664], [79737995, 15306944], [75716763, 21722217], [43129954, 22095891], [65500986, 45975731], [32042764, 63843301], [28421805, 48725824], [76157811, 45435311], [99077722, 28758373], [47471783, 32072650], [86096194, 8344384], [96230616, 19185497], [33175246, 12877193], [18888017, 53197748], [19687009, 3050150], [68501061, 19011894], [1808214, 57295983], [84790995, 54130080], [34231582, 65335802], [28756319, 63480400], [32798265, 39625424], [80587275, 51773247], [81307213, 90098500], [64939780, 95721925], [92062889, 65795436], [61123183, 1529767], [56701995, 81238024], [82987753, 44041733], [4403302, 18087756], [17019388, 80304201], [32542606, 64067031], [69361585, 65887358], [29855474, 35896323], [8891540, 74694988], [64421664, 75197857], [74480920, 28378130], [84793512, 55203946], [18750221, 45799727], [35665037, 75373410], [58500756, 64877581], [64970029, 193585], [89437975, 61341920], [93616447, 47952964], [88134426, 76006388], [99766264, 18057238], [93104290, 66492223], [24320434, 57245499], [60724483, 40210215], [53243863, 48791694], [83568894, 87021889], [82621675, 55320358], [5698592, 3471923], [33966347, 17149351], [90228161, 61012725], [84991172, 92965896], [87891183, 92185581], [96984338, 39180395], [16750301, 73849783], [67040658, 31656450], [67138474, 99795086], [59369377, 62965259], [95638302, 72386194], [79324409, 35360986], [8414942, 32406738], [37563538, 6599560], [89962957, 8736691], [51141187, 49277782], [6333667, 792973], [91453727, 12605069], [50835073, 13146882], [99488887, 65717979], [59259355, 98547427], [7064558, 71384572], [27032573, 44212120], [74350407, 71601204], [40753857, 23089193], [57762522, 59258545], [7542542, 30034653], [53673146, 3299387], [21148039, 762255], [54089147, 89593566], [47176964, 71789526], [12463600, 68313023], [59996173, 76435416], [14513626, 31110118], [35777060, 93944405], [75705618, 77414501], [92398178, 76003196], [41691574, 64355199], [63475336, 65915439], [31546484, 67589871], [96721247, 31257470], [33412960, 75040449], [81346450, 77349490], [55060744, 10361660], [65483888, 87889515], [3123832, 52637718], [24673097, 48932257], [88985072, 82524076], [17778144, 60885166], [14895106, 8999452], [87211151, 81136856], [87579061, 34406184], [50625854, 77013059], [23104951, 18954963], [50010966, 15547331], [26818255, 9879862], [87013208, 31238112], [12083846, 35084170], [11238296, 31223995], [7142142, 45525095], [41628155, 34056617], [20503611, 15908058], [81962417, 10005601], [65784482, 41541829], [39626304, 26671802], [1462552, 11625022], [55039876, 40576988], [27612157, 92869915], [82862452, 78754941], [80207794, 77391291], [63552961, 17527531], [253896, 94921468], [21133591, 29954237], [85582444, 79490495], [99271005, 25719952], [36707561, 27446117], [84273254, 32371802], [89631140, 91955291], [31401823, 9879485], [87459859, 96217950], [75420835, 13530011], [79462702, 73507700], [9777663, 63879294], [4084586, 4087314], [71006565, 23147629], [67478693, 56729254], [98263403, 84223321], [52252860, 8703515], [78927460, 24358791], [52376760, 15462040], [5336830, 99808599], [26786982, 59084267], [24232268, 78202372], [75619629, 54089862], [72275283, 28482605], [88936839, 79276704], [961526, 59790680], [68151118, 42409453], [38253903, 21458852], [55989330, 15034076], [52360086, 19127395], [21865724, 5132902], [2185878, 42033401], [34965401, 73738030], [64612180, 60311145], [2107348, 55806977], [6506510, 25887053], [95666066, 66476593], [57148275, 8894338], [83522876, 2382043], [65852251, 69405277], [64529754, 32206947], [98555080, 13640939], [31805059, 24043492], [36851083, 40670501], [97723299, 76231032], [27875573, 92629459], [36607622, 87232203], [20150950, 44124456], [77566890, 23301380], [69085538, 78162442], [94201033, 1850665], [56504581, 80798274], [61339294, 81197153], [25616444, 70174287], [22431769, 91263395], [24520738, 83456313], [70326309, 33165732], [65552412, 86065199], [49027164, 21554755], [33521690, 38404056], [39827922, 2868230], [32223933, 58392760], [87180298, 88415217], [58524716, 86961400], [58396306, 38136174], [60849325, 92221356], [54810072, 721725], [36269520, 28937281], [31997533, 72168345], [8762181, 20859809], [70416924, 28826176], [19851465, 88614219], [72360419, 16424671], [19281247, 15651375], [90495172, 16410355], [25238352, 36273330], [11923831, 72971550], [8320960, 15697133], [308032, 66615450], [26460195, 95185016], [1182742, 19117403], [32137919, 56016419], [52132008, 99796589], [18126470, 49207686], [96904461, 58907679], [80780394, 13450242], [4713277, 91377234], [555364, 15800903], [24725334, 70122560], [50321813, 35444291], [13968513, 4552743], [10455109, 13546418], [21978732, 91118306], [84583714, 22699536], [45178113, 21430586], [25181684, 99152856], [79876333, 37619711], [88590150, 3091942], [61951417, 39569374], [84917532, 25371701], [29970398, 93817052], [89702643, 32594546], [76121970, 82154283], [28589444, 24547295], [23171119, 67014029], [65989060, 5595267], [77792664, 77547097], [27274228, 35583750], [93279525, 98558326], [46295987, 23409201], [52880793, 81782749], [66958218, 34179806], [76234561, 81101314], [13020334, 30931780], [59683729, 72568043], [84779911, 91707715], [41640498, 83396875], [38448430, 70215685], [24976197, 90270499], [40098928, 70993005], [35637388, 84713581], [10028943, 73952437], [52277926, 59458340], [94864947, 73347639], [82804890, 13857526], [3116648, 74712844], [40161022, 42100196], [63999482, 32086893], [58154303, 30637126], [70378688, 69338110], [59378065, 16654108], [26947299, 20934098], [13920482, 14556484], [36968122, 65996727], [64564764, 9534819], [51276428, 85924633], [7416310, 90791747], [35820472, 2386170], [51382753, 79244790], [38853638, 51173122], [66116534, 40172003], [1395765, 81490488], [65181985, 69866687], [21548365, 49048898], [48758523, 71176640], [93449519, 74890856], [2785207, 201611], [42100515, 2259098], [93215116, 60868408], [85080697, 72126881], [97847185, 58018270], [76830318, 92998550], [79813440, 16348276], [80456334, 78300229], [5091785, 98738745], [53282138, 64028810], [30099104, 60024702], [36208137, 98242054], [7793413, 95866850], [11847426, 92004501], [22546769, 50921750], [39987234, 78003500], [36028839, 92354397], [4071376, 15612141], [5154384, 15012799], [3661361, 83594683], [12337797, 42375875], [58971317, 47203427], [97496528, 7725219], [63591292, 49615857], [8398666, 67973850], [70619297, 99387259], [64053854, 48753769], [24236672, 93918109], [3223458, 39047225], [76369058, 91609383], [16589459, 52910007], [98459276, 69551880], [37991223, 29358808], [50649959, 34598817], [77755096, 50136746], [15239632, 85571071], [8377397, 75283715], [44222892, 57951408], [93491788, 68430670], [36799561, 30034757], [6721945, 22518079], [47903028, 44130683], [78283577, 63340081], [99193195, 26376798], [34040176, 29421633], [23721324, 60883995], [99541928, 80779452], [85199587, 21815680], [35502380, 76606595], [61597008, 14271874], [50766686, 23244627], [2556760, 29104431], [39669105, 93540084], [43420854, 87509064], [23955009, 58802648], [9747435, 6523138], [29107014, 59812108], [84137577, 88323331], [25844388, 31940618], [41492540, 33729057], [72637721, 2940660], [14254198, 79649154], [14015808, 77747863], [97479503, 51244116], [18504727, 64380349], [87289209, 28853247], [22855111, 62179949], [29568150, 86808115], [1992055, 25633080], [34464594, 55837064], [37373739, 10532291], [54644882, 83334702], [19011057, 87030585], [18824087, 7157583], [91617988, 63957560], [39302014, 77366186], [75721122, 59906757], [14764670, 64617032], [25977384, 37387971], [32039334, 33458556], [65870511, 11457438], [33380035, 58955264], [62515262, 10144057], [83659232, 65886746], [67144820, 50261403], [72275968, 52188190], [5920137, 90650275], [61376412, 69227692], [9636567, 76049173], [31773822, 62451875], [23405682, 27910628], [47656740, 6308647], [69613047, 49186732], [80165183, 70317829], [84173089, 50327370], [57557993, 90830635], [7546098, 21015241], [84397322, 30426417], [50564285, 5686789], [70934860, 85641521], [86273323, 52851829], [77142318, 43680717], [78779821, 29449515], [71088406, 70465990], [82851969, 39500332], [50457311, 91796885], [17280437, 39909644], [76544926, 96390478], [19288208, 42262156], [936798, 41704550], [84505745, 56125350], [49950123, 33655946], [98451381, 1694661], [55156692, 3336854], [7492874, 46242992], [76939721, 92000001], [23993569, 41022911], [40810216, 27327885], [38527754, 29484045], [1393835, 40845875], [3665409, 64150628], [7057500, 65453412], [49677154, 33220195], [32507045, 66106261], [33893901, 4101709], [86375975, 72949099], [31320150, 5386287], [41837935, 64246831], [95605499, 86945882], [13447623, 80261225], [52255455, 75415804], [27893129, 64667447], [87780009, 38294995], [72341159, 12214680], [97794137, 33227395], [66052634, 66582527], [79346195, 45394652], [70998642, 42525255], [12413991, 70187023], [36350796, 85835382], [34160152, 1597742], [55287585, 39887680], [99304664, 1472023], [22145724, 14008078], [80881676, 91226805], [43221738, 93693045], [64729224, 1816742], [94349217, 24590256], [65284487, 96718547], [20661911, 31429658], [57777140, 27358347], [12815332, 65642900], [10984710, 41547833], [25656099, 24742930], [32232248, 39488280], [83256397, 12936619], [43712703, 11140819], [89396679, 83879201], [66349734, 60760253], [47475330, 78357778], [82897548, 61537642], [62377328, 46497968], [90276833, 73670430], [32743452, 88408042], [17236664, 6099070], [99260512, 54403491], [46967333, 86083068], [39834467, 55606893], [5387694, 14425679], [78067297, 89419732], [74738415, 29076800], [77241077, 37644549], [19908351, 46418111], [18112636, 70727978], [71240847, 88825588], [41554491, 93456673], [43016498, 51485255], [42131495, 10155773], [70397003, 5946108], [98354834, 48976894], [14933246, 81848844], [76438944, 3857235], [37299096, 60438148], [48140445, 89102081], [91110354, 39720414], [36349217, 12121154], [83040033, 463503], [1924264, 60364628], [11776240, 59820519], [14024961, 22496681], [33132360, 57949363], [587149, 86125530], [28956589, 28546184], [38576678, 65519000], [22680391, 22154092], [34679727, 71646571], [5280556, 5896696], [66359913, 68345888], [26924090, 64098022], [71923429, 56192321], [78591539, 34677564], [77561529, 17105628], [47349359, 4566307], [63440137, 33642941], [36362348, 86072713], [53370355, 90477695], [94472848, 80750857], [75409073, 59574472], [81230405, 5229340], [11945026, 64397401], [9607401, 78262547], [89102344, 49257806], [43367504, 38451990], [16252288, 7932370], [45570582, 59368332], [14099559, 74067485], [52492324, 20575878], [22008447, 28149731], [54133699, 7927449], [96496954, 39720450], [37259355, 26298394], [99108415, 7928289], [59111833, 34033799], [21337091, 10609403], [9052180, 52047275], [79278310, 82280719], [15644279, 88916588], [25934676, 1935241], [29928854, 17204525], [75199970, 50049676], [34510261, 96501299], [32234868, 37520257], [68423540, 6505421], [2712490, 4878154], [1125371, 39486049], [63158212, 57070964], [1983180, 79340341], [65014273, 42761537], [2144248, 633697], [95893129, 90266899], [84169346, 12071484], [55071460, 19037681], [6288537, 43806416], [76244308, 37277548], [61659272, 57313630], [50440416, 42064767], [40278489, 18094819], [64924231, 9644653], [76799750, 88774910], [49711642, 38631661], [17186234, 48226447], [25068799, 67456061], [26593011, 12272322], [3404164, 88926955], [53499517, 74898944], [23584082, 12505557], [83503059, 8624594], [10315960, 40012701], [16565882, 95391363], [40982490, 25543365], [81400119, 96041009], [42797379, 66541651], [60802668, 68424041], [43458438, 95518649], [20174019, 64085915], [83260244, 94970011], [85999351, 46496160], [90056409, 44063467], [9280267, 30915990], [90227772, 3168725], [97862779, 14568279], [69992478, 39670988], [51135586, 46215216], [52287726, 51267774], [82899011, 44846988], [11917349, 81791631], [82071205, 13033631], [13776314, 96281041], [18219403, 84952038], [17913867, 44190432], [25985804, 6180083], [23864689, 7321259], [93918803, 46608952], [81427095, 63916387], [16804912, 78161231], [78160903, 89321583], [69215638, 48671936], [14271248, 85359285], [83390443, 31296560], [5949613, 63469546], [1509518, 81350604], [55993659, 4404474], [59579391, 6403209], [75776624, 80134643], [58189933, 55728564], [48619335, 3403048], [72362590, 5955923], [39525504, 9898200], [81861983, 89903032], [28912821, 98613251], [86167865, 90508639], [91565252, 75503960], [81278990, 96612820], [69769524, 5045354], [37733079, 80097819], [72102691, 19038248], [27137398, 81355252], [77409070, 10843432], [74184413, 52120569], [32435904, 6975821], [72662833, 21281241], [22546894, 81866726], [65503929, 39383811], [82641779, 63893959], [56479544, 34961323], [27021980, 9692735], [50832343, 86730148], [98318101, 22740968], [65866237, 91661233], [44551116, 78497819], [54127760, 45231560], [69149217, 49253109], [46832418, 83993473], [35537826, 91016706], [84685889, 54802670], [34338815, 3357084], [10837511, 92824460], [44959993, 77489380], [59071826, 46878993], [44201827, 34566722], [95842532, 18816127], [68891977, 91443310], [95159701, 79309770], [65701390, 96148747], [57107736, 7443501], [20737884, 67052108], [59741992, 17867462], [78766626, 74731171], [77794902, 90218399], [94425062, 30816125], [5279916, 68403965], [87086575, 80058072], [1797843, 93412931], [88040934, 65355719], [32746074, 65243088], [50355113, 931425], [21848234, 64361065], [81279467, 55289942], [83891318, 20374383], [69070772, 10461999], [34967364, 53738082], [31114822, 51796170], [14812760, 29118747], [26559300, 16194011], [93616146, 3274605], [74311031, 92215366], [71432865, 59628672], [31739714, 79420096], [41175886, 5502562], [93635126, 80779273], [1208373, 56077810], [56595597, 92951431], [91920184, 46765511], [21765060, 28721515], [19119283, 71614868], [38704483, 32981826], [42997843, 61053308], [30819967, 32202022], [80822345, 9893635], [79763625, 75855817], [94400491, 76741664], [64069679, 33602321], [89575612, 13687955], [27308011, 62877770], [11828581, 9620970], [50873481, 74923704], [18206154, 1766695], [48119859, 74284581], [39131851, 16726629], [20012307, 73408615], [15475201, 17623266], [51691317, 2147647], [85759123, 75198029], [72267080, 83362020], [1417900, 78665490], [36352801, 75168439], [66977811, 28256966], [40821077, 23360123], [76367631, 41076054], [26727375, 98798177], [71402849, 42229902], [88427197, 80020374], [31881972, 37495861], [14537324, 36296572], [20158171, 46561884], [3498466, 88718885], [47680273, 54781993], [90592032, 63584161], [22945067, 64076573], [34637349, 27620993], [20395293, 10139532], [26031063, 4027871], [4094220, 27337662], [64224116, 1134840], [25273868, 22826853], [17667762, 84432185], [10615201, 50968723], [13643397, 82321598], [16959844, 86609409], [18716149, 78263135], [61468703, 1644224], [9139363, 72179999], [14522933, 5584093], [20254511, 86542716], [29626846, 92057678], [86470451, 51398242], [66617311, 14450046], [25636542, 41181946], [76368684, 44736564], [71045161, 57796910], [92658051, 59562999], [38034772, 45276458], [4312350, 91425051], [95344075, 38458996], [43870826, 85584328], [96530184, 68757529], [11417092, 68300633], [61653098, 18532252], [18361898, 3482472], [34150700, 22427391], [24546515, 10401396], [28507828, 21650312], [59805487, 88971747], [29393899, 38832737], [83167110, 95882590], [2818504, 34474897], [24727427, 29393436], [73833595, 40275544], [66061137, 67110771], [5255241, 62212241], [77412640, 52892386], [62809419, 41621804], [7129011, 62045799], [2784008, 96140674], [37928738, 63496850], [54948132, 19246301], [46799214, 81635245], [7502950, 32282654], [11654061, 72107836], [61140278, 89512723], [56615666, 2535463], [19947845, 94024596], [53740561, 84732823], [67468136, 90738559], [61596119, 73787844], [98150529, 72884484], [31465059, 25836649], [27519361, 24296776], [80142228, 41826917], [32295886, 7213414], [54573783, 38921493], [97036063, 62813065], [58319199, 78988085], [10570475, 46773223], [28468573, 24474364], [44817468, 36474509], [25136288, 10293161], [24199836, 62995076], [8837369, 50615040], [93761762, 28483307], [93565346, 87532866], [5047692, 48389327], [92972638, 72717757], [97955064, 47316799], [30705006, 79886757], [42335236, 84184227], [37449723, 84760534], [88011220, 94080905], [83414156, 64566177], [72692321, 59496587], [6236242, 82957813], [37076618, 39308136], [89238853, 23257792], [87332988, 32756544], [38476226, 87174248], [69859081, 19935271], [33007638, 59097756], [13820871, 39098172], [61328313, 71761657], [60151662, 44975417], [83284712, 27350792], [31928235, 39185187], [79986494, 1056756], [26276550, 11413170], [73478012, 93169283], [54861734, 62803626], [98513413, 61436298], [50333456, 68907291], [11815513, 79685904], [1044238, 44470526], [13261564, 19615674], [41063894, 88171598], [99750186, 49909219], [99271337, 1601283], [3808254, 54102163], [92498227, 64702242], [19248866, 7984636], [14560052, 41814832], [36250996, 83601628], [84800160, 39630745], [81484207, 21608202], [11114474, 63343701], [61537832, 89947607], [94085644, 34436850], [67800165, 46223476], [74339488, 13416747], [64422024, 53386574], [11844709, 51003731], [95422692, 98574934], [3050253, 14697210], [81412827, 21933725], [99498916, 92016984], [71276972, 32070358], [23444994, 67947323], [22240540, 75221702], [81834626, 50238899], [94064491, 25408866], [69856386, 77542097], [98040357, 41814410], [53378486, 54890299], [47742647, 82279468], [71968306, 22171672], [76258886, 62839305], [33555128, 64430849], [12085978, 13724549], [81621853, 90118231], [1584895, 96552635], [95921902, 84596370], [71464050, 87904052], [88678912, 87186613], [31398917, 18979363], [8258124, 41648728], [25918806, 88861640], [74372518, 4504702], [30809099, 12274653], [37335775, 77501961], [57726103, 51973771], [4525148, 26684443], [46251935, 2676061], [77590052, 22977610], [858692, 5232102], [61568798, 47853022], [29561901, 69983217], [42932201, 47679788], [60925633, 84505397], [55879197, 60595724], [41167052, 59588439], [5208444, 51877220], [25051756, 82897599], [72713730, 95778057], [72373069, 62610130], [90776865, 64306285], [2325093, 89547140], [6112941, 46179259], [35913586, 91352045], [66084093, 43725893], [92030332, 95514486], [42104153, 28461896], [73574873, 88842239], [11730524, 37465504], [67119330, 98344163], [65936329, 99787372], [62659530, 31766263], [21817873, 41356778], [59306403, 48446514], [94420356, 6803129], [58555656, 16583966], [6655761, 55528593], [98745220, 22287060], [16072886, 93459406], [32809678, 59123087], [69904830, 98079374], [43023053, 93308144], [73630240, 51672904], [61254453, 16760226], [52419733, 16003445], [12232147, 12037778], [88394741, 66918748], [87926059, 15978882], [65500696, 6673285], [63807934, 54173895], [31907322, 18649257], [46299989, 98344742], [16213651, 4118645], [56936783, 14891409], [52578188, 91933771], [56234100, 91196750], [12936008, 55840301], [93227590, 6352060], [84505967, 62786109], [9785624, 80616033], [49709455, 69431770], [95990727, 9909039], [24217460, 45459359], [7503703, 64735830], [45635328, 76213946], [54326029, 66458649], [1526474, 41565315], [36860659, 20047276], [82026298, 57594440], [32845662, 30966463], [4523876, 52991195], [64935915, 75158354], [771925, 63342495], [22672832, 93846202], [6865136, 80054119], [27697133, 88851176], [75988352, 35023425], [53088070, 74110373], [49620532, 48500138], [53508186, 93691856], [15165454, 77215641], [14683915, 59207680], [3070495, 36235467], [90765289, 85190939], [54647891, 37467595], [87979849, 42772099], [11488206, 45589764], [36196771, 60362278], [13760938, 4967073], [5685009, 82300849], [38063643, 55902011], [12644688, 82116512], [66815701, 62703212], [15887103, 79137764], [96397117, 42239824], [65849404, 24913090], [98677128, 68584079], [65234272, 65584711], [51958231, 92102906], [52743552, 90527308], [60469705, 65818408], [57246835, 56844686], [30113498, 67462141], [57385360, 30488403], [78101244, 23167845], [61456575, 56659614], [56649237, 3645971], [48507233, 47661146], [84437442, 16080187], [61217067, 91057982], [37495168, 31641132], [4787139, 78504407], [77132523, 14362364], [64866752, 10470471], [43009680, 88682472], [21426059, 19800527], [90340918, 3965927], [70625875, 94854838], [52976996, 17026598], [60711934, 33758895], [13539678, 24608335], [37717259, 49071871], [82336213, 34454143], [95452067, 15544417], [96223859, 81937943], [11487095, 16886221], [81714301, 32542420], [69487894, 47783859], [1574366, 47277772], [19884021, 28894589], [98436517, 70212667], [68314240, 59370282], [57007999, 46084848], [75425200, 68178495], [2948192, 55481333], [8241230, 45707280], [26638628, 68597658], [24145489, 7272523], [30130558, 20027605], [12423783, 24048557], [58221269, 44417242], [98967459, 22254881], [73123323, 81781618], [77081824, 37196645], [27604493, 94925556], [89882399, 68626781], [41668440, 14701836], [24505666, 38715378], [56314404, 37441135], [17690827, 81121813], [8891938, 84659484], [7294894, 85982734], [17515177, 23971611], [3459951, 53334756], [89614998, 40524104], [52842955, 56237139], [4565982, 482919], [20508317, 71216401], [15006687, 41323058], [42064880, 74769916], [74237961, 29352379], [44659345, 2109758], [71442108, 93022240], [37385011, 96963154], [3465404, 46697670], [57002014, 77809909], [18886362, 10671276], [27811876, 3359570], [19435451, 67406541], [12732075, 89725333], [95619745, 61009962], [70675946, 63778378], [55166002, 79772380], [3026899, 14190066], [20001883, 78616793], [94337485, 40167081], [3566003, 50950322], [73562089, 22594870], [78965344, 85984644], [94143655, 37816629], [27779605, 26278763], [57414748, 35177360], [17375619, 75204661], [67107218, 90602102], [89546087, 42395476], [3250806, 86797378], [92432832, 49240113], [86015197, 20717079], [68468904, 73161014], [29784324, 87599795], [47210109, 74182651], [67672255, 15522198], [53010072, 64154401], [69546932, 40085123], [10610830, 77770004], [78728469, 28601634], [46743784, 13797792], [15560501, 6272380], [35757693, 32005830], [51179519, 55058947], [11658850, 10938042], [7397733, 90390869], [83369475, 84125475], [55521108, 32933529], [28555244, 88483728], [7536574, 16270171], [44909652, 53607758], [61069163, 79217850], [88656910, 57175942], [4992563, 23589032], [53256288, 50227592], [44348349, 63981185], [86963585, 57138206], [46705532, 57139059], [418556, 44785258], [13786176, 22392412], [64067123, 26944749], [24495927, 18965761], [88313612, 86221516], [55290549, 8235910], [78653295, 73353821], [18044499, 22809742], [73545000, 92651559], [78358253, 76776552], [90495859, 7048239], [85424088, 70966532], [20234234, 52238100], [97844023, 25763292], [75485420, 65659464], [1784612, 26030256], [90263661, 54804651], [78733367, 71388598], [19982160, 56893649], [50915804, 56675758], [6676755, 85194494], [74509717, 33140729], [59726294, 91214477], [30860241, 82008348], [95319777, 26359120], [89942418, 33721110], [27205522, 36559008], [49578650, 78051024], [64152730, 43527853], [17428486, 59108162], [5014923, 38902535], [58459165, 49551400], [98891884, 12892679], [16206296, 64243301], [13356958, 60229388], [54931383, 1199779], [45035211, 93914073], [22076641, 89904319], [64128985, 66291003], [16236586, 43773953], [27478602, 46082698], [81552705, 99472610], [49928592, 81555668], [48984822, 77725441], [79138886, 922505], [88314868, 12372362], [46524576, 68797240], [36017955, 98930067], [24348775, 45138070], [95898294, 69586000], [68855051, 16003893], [97493586, 46111276], [8597467, 56175129], [64131719, 93523296], [23909300, 83150331], [46671307, 70462362], [66186803, 92831693], [71622792, 51441697], [51307763, 28994158], [92607783, 24046561], [98754012, 35534606], [26741944, 21444113], [33279553, 72841032], [47401494, 39839026], [64312340, 31012430], [82307991, 11370846], [38222405, 14666227], [94966026, 26014313], [92014625, 40917834], [37300190, 44466024], [80595509, 1197076], [13553782, 81390881], [21916115, 71420185], [41107625, 37194042], [85410021, 91601147], [39183981, 27786984], [99916243, 75917408], [71149209, 35574453], [74700205, 16719444], [87410908, 43707995], [92731113, 48431396], [43110047, 64667614], [77585283, 3548224], [60613461, 3394991], [63333868, 19279399], [20545402, 6941397], [93073967, 42932624], [40059423, 84032950], [73798924, 76394380], [71348090, 21753095], [77933420, 41907584], [48762152, 86505344], [60368059, 26263746], [14809125, 17462929], [82781303, 81282776], [98843258, 93062983], [43739977, 89899061], [86330486, 84280780], [38586277, 57196165], [58390376, 29106382], [5266665, 52018991], [63756671, 53485319], [31549561, 35866948], [59990283, 41714308], [53329849, 29419295], [8680295, 83586201], [23075333, 94554497], [71556696, 65453172], [94540276, 54300031], [72058178, 4326031], [25306937, 68467193], [82154603, 85582821], [36690751, 29556275], [31914339, 28559350], [59982383, 1142917], [20852477, 46436532], [15067008, 80744890], [61497184, 5582681], [92098926, 41403447], [1396536, 63463380], [91390934, 85124361], [76618528, 8474559], [26777682, 27620930], [96893878, 50285143], [63351990, 8847284], [61111022, 56196871], [59101700, 72031926], [24304708, 87530130], [57761870, 73578780], [64816926, 33195322], [23518207, 9561140], [55951654, 29488636], [83343641, 78660511], [95316798, 51320824], [68760271, 60270977], [54104511, 23417751], [97420196, 11912456], [60369491, 92655986], [32258862, 97648670], [91702402, 3128754], [48258711, 40988373], [7111202, 97556614], [49703669, 32806238], [49277962, 70461310], [80062772, 34906937], [61042040, 84675594], [85100710, 44604513], [93230199, 9682477], [45006677, 69105584], [70998076, 15100562], [33989874, 73821642], [70928390, 70123069], [27298480, 92310324], [19655113, 98657823], [91488612, 97024655], [86642074, 25124322], [33646288, 99335530], [13037149, 84520065], [38251412, 13015228], [2130269, 85711445], [93462360, 430326], [19206184, 53618578], [78814410, 8771558], [28320707, 63766939], [46756910, 99703100], [6287799, 92123543], [44015875, 47074236], [97787220, 86858894], [51234355, 92549528], [2815316, 93122736], [63869199, 20887421], [99283686, 65989182], [69113578, 99014079], [30305520, 34274789], [80291485, 8216143], [18370672, 48121940], [30128081, 94013322], [5799566, 28150413], [89063957, 10618210], [53154926, 16725867], [73083375, 10527299], [14415510, 92036147], [45758877, 97816553], [37935738, 44405399], [25410315, 47357801], [57267618, 37604380], [4050557, 49316696], [22826936, 25107792], [41168988, 47545694], [98422949, 61800774], [36238642, 44696290], [21561349, 4041410], [72749791, 35594647], [75677561, 66127074], [37687179, 42282139], [93648351, 4810515], [70316754, 72981687], [63781442, 79653528], [69685910, 48866691], [72356060, 50255465], [28554353, 54908826], [95666803, 82523008], [92317267, 43762226], [13993516, 49130753], [45771320, 71953562], [38973222, 3958678], [90882245, 34287859], [8883669, 55115468], [68208723, 2239729], [18042804, 72329511], [51366783, 3387843], [89680280, 11633687], [51723065, 4456331], [15459328, 70398761], [91712183, 28192], [40673102, 35901320], [96463654, 27383259], [25215846, 57982724], [37157109, 56700350], [52556631, 84501825], [66476536, 48634674], [45712651, 37067332], [22311665, 36563816], [40090481, 24448233], [94917807, 47243499], [22625475, 69622994], [28552234, 63623883], [26815923, 97587771], [84647606, 13242465], [43845450, 15636825], [12131424, 50402661], [73109884, 55114053], [51223146, 47344616], [29431177, 34711393], [75985558, 40415536], [32508602, 24397515], [25648560, 95850100], [65128832, 47648155], [18393576, 98732180], [13679810, 74239626], [85483678, 72404982], [16422054, 83304884], [88868494, 48310710], [54410644, 91243938], [52341860, 4915464], [61794873, 88874049], [31805071, 99745813], [27437442, 74909464], [99711090, 85118856], [71864266, 86172323], [60907033, 64029949], [55592691, 73303136], [55516052, 20863966], [43717610, 15097063], [69823302, 71398613], [77153980, 33864755], [78996758, 25692268], [83178331, 2534475], [97339240, 64802888], [47708659, 68375946], [68849591, 25831015], [89047593, 98401516], [19276645, 80270588], [46560887, 27343622], [29035148, 92353961], [87023066, 74080228], [44974368, 88736401], [89063769, 88820939], [76782369, 92161254], [61485208, 14253643], [3059913, 84940525], [58233961, 29929841], [54113056, 70988321], [53078830, 57153690], [8991001, 73119035], [25481107, 20831050], [83448037, 72194730], [44306760, 55853490], [78091985, 27700722], [7860502, 81450038], [29913255, 82324229], [41149732, 74699052], [58371508, 97069042], [69286646, 68759049], [56087190, 25659452], [11126697, 2735609], [28505593, 88309609], [59397976, 30401507], [67982688, 18226342], [48986371, 49222665], [22027846, 2680107], [30525318, 35201803], [46314688, 29350579], [48082280, 68614459], [86819704, 22338529], [77504852, 22548823], [10530415, 61304783], [24981079, 80262006], [2191132, 45135330], [13239536, 11680383], [21144503, 88959418], [33329239, 14193231], [79166681, 295302], [96444145, 48073287], [48257164, 51665241], [43018326, 84027404], [34230453, 87546621], [89660832, 46754697], [26004856, 26278821], [68319235, 93061933], [29034919, 22846768], [4094628, 78154646], [38345316, 32083397], [49006372, 94989975], [81410348, 61141364], [84224062, 86840285], [88566521, 29213827], [22970394, 72458441], [17325706, 88983302], [79576175, 13921704], [61659019, 57606999], [40225242, 43945505], [74813058, 82893471], [5389679, 72460951], [32739326, 27283290], [29119817, 1925279], [73739882, 25471838], [50796917, 99038765], [84495605, 65669940], [46326779, 74215716], [58707515, 17690062], [99429135, 47802944], [66930931, 6642872], [3867328, 65957477], [58203464, 5831873], [34551268, 92065812], [69347114, 9510785], [65145502, 5440537], [88445293, 35687301], [78351905, 84823126], [39597264, 78175340], [12018399, 76276203], [43613668, 45817767], [89727670, 62980751], [9758988, 78798422], [35297741, 86966422], [41366132, 3260251], [31370721, 2320522], [33224838, 77822050], [13916287, 72108667], [8415776, 94050664], [35302724, 19474019], [69129414, 52919346], [88311115, 48554657], [99789840, 67817331], [95131253, 84672244], [6938541, 44316671], [81523081, 73578160], [43878286, 35476237], [46222109, 11982621], [63365312, 51511883], [47957510, 22794799], [6697035, 47320208], [93724626, 81335606], [1884433, 20311864], [95101436, 68805095], [69077403, 1639004], [27708665, 60958382], [15750821, 5102948], [26050759, 55436741], [41609280, 17424117], [32074323, 20289653], [76015173, 71319473], [86579443, 44856498], [90927774, 4580193], [85617737, 85802796], [48529958, 6138113], [24162601, 31950602], [11255285, 87180831], [80808316, 86878205], [3544314, 91170231], [35261930, 74506628], [57233534, 92579630], [53229263, 37385978], [66123760, 13956294], [87555136, 58977348], [99185490, 88231194], [47126815, 26849057], [40520979, 21519270], [48751927, 49744741], [5296248, 62428302], [46460492, 64670533], [9505450, 95646927], [74748606, 39434583], [23832537, 28008301], [39439786, 34158751], [78705837, 90679592], [76073321, 47068058], [87159615, 12507487], [45104777, 44264796], [96161881, 11383554], [7716095, 43790655], [73973512, 16668844], [92318255, 92270204], [12277879, 81510530], [41269267, 60371172], [21022217, 19608503], [23289316, 11640408], [43225532, 85175840], [68077604, 90251041], [21758470, 3538931], [59196305, 71546451], [26991479, 94199475], [54606217, 49010854], [14162925, 9056657], [93545460, 52428017], [97701173, 56773385], [62310977, 36977574], [85267002, 92800225], [14066123, 32991594], [15814194, 85897728], [91851339, 67944831], [68553990, 55074383], [71861896, 82133197], [28135583, 11822029], [33662220, 96540596], [90862358, 62376465], [19170816, 30679099], [60850430, 69164087], [18769436, 69997037], [12566012, 29341973], [94765975, 39320041], [24684752, 26950933], [82412639, 89519069], [15106933, 41407922], [10943800, 89507027], [47679688, 88515649], [46346255, 80985069], [68245161, 1956019], [41377953, 70972883], [83206212, 94552223], [95105192, 46347021], [62294305, 71566521], [99471005, 80773277], [37652926, 64894393], [87778195, 50269802], [55997708, 54924865], [18967214, 41649724], [26902904, 88056592], [65245454, 93282171], [10553727, 86085440], [51745575, 95119900], [58447586, 90727327], [43660802, 13442100], [50970785, 43641709], [31834424, 60776827], [60473281, 2592411], [61997705, 74816580], [12505336, 50187483], [94943535, 39366306], [9200115, 57714747], [18094601, 7035016], [53351230, 88052978], [83406955, 86104094], [45090952, 69120760], [15151482, 25567190], [21859926, 38394809], [14009488, 47490669], [76943323, 36639669], [65865967, 69359929], [97248120, 39834501], [99626149, 74672022], [93094557, 45136741], [79619004, 50017084], [51320446, 73891540], [66710966, 24783397], [45639868, 66623744], [62322135, 17739552], [94880966, 77372517], [1323660, 54147767], [7309551, 96745887], [9406737, 86773113], [97758240, 64097980], [30346540, 49344167], [10552143, 44941436], [76094603, 71793283], [73615086, 95480680], [6040053, 57734144], [92205089, 30251835], [96449542, 42597215], [43693257, 4378742], [68811919, 16915566], [84664605, 99538349], [71947680, 83793313], [31507531, 22696385], [77489875, 38644088], [10829778, 71519309], [95589939, 12624207], [33453565, 77389632], [60433280, 10602164], [4488935, 78734611], [66533125, 32028581], [54833084, 17113399], [37170793, 5284047], [38497191, 45467187], [12645847, 90307838], [44079921, 22512052], [37680097, 9561102], [9493043, 28248062], [95707513, 80148622], [2685687, 53436782], [96336797, 37409659], [29391091, 20367252], [51837817, 26972141], [33156177, 42974785], [62467216, 50533987], [18952421, 64583929], [43249638, 66361862], [35377522, 62188851], [6476917, 62772789], [255556, 33959095], [98472180, 58458002], [20175104, 22888297], [13856484, 60271785], [59539408, 13804987], [19431645, 38733677], [97285144, 97148875], [20622976, 16512590], [80169478, 15564341], [25132796, 69553660], [85140749, 68859777], [95448110, 25574656], [21709822, 92682468], [12300858, 23795844], [29178993, 1992350], [78753093, 37228314], [62832481, 63471349], [21421784, 12083475], [66200042, 77207696], [3871602, 47590870], [13513809, 11028783], [26712151, 73437076], [26996254, 16329143], [86604004, 56559926], [29520046, 65166239], [35077473, 36942345], [94498849, 22660395], [30089420, 26515156], [45533179, 45157921], [23066953, 68498347], [90583395, 71725484], [51850742, 55180844], [44309019, 56614776], [7447455, 99750520], [75668109, 67889867], [32606253, 55650499], [69967822, 22831000], [10903808, 71405889], [14364706, 35265687], [18781687, 73630013], [85468313, 2903951], [66040566, 59828624], [83339666, 84894434], [87935957, 26616391], [28106112, 16243720], [89446814, 29825703], [16738017, 46439819], [60200086, 5714094], [44222555, 64035506], [49543632, 21958340], [25891111, 83556153], [3963639, 93232016], [87311797, 62974614], [73591122, 69881639], [23552571, 95093417], [33992386, 78962648], [26931588, 69798264], [61384206, 77655000], [26386029, 50953005], [93381257, 32125474], [98347324, 74521469], [59717210, 11209149], [46823809, 18984029], [35007589, 18947347], [20677848, 18356395], [40839890, 6989505], [40775714, 32488059], [34808239, 37649464], [38148803, 20105114], [1775263, 97082101], [42489154, 11203980], [32964266, 80707302], [26257715, 46881411], [3455075, 70135807], [67622729, 58442899], [75342848, 97258837], [29641372, 94666632], [59270394, 93980615], [98056788, 27599694], [55370273, 31354779], [86440227, 5107057], [7363275, 93652565], [8050114, 56398633], [86828878, 31136780], [66581573, 56614617], [10901386, 25910949], [59025215, 26518471], [43966276, 37610317], [84813027, 61940730], [5735758, 23911046], [97661195, 74996301], [96423998, 17416863], [89590401, 69255751], [25211616, 41212342], [13482741, 41374330], [86222473, 10407651], [4621447, 40586492], [54129675, 57236271], [71489176, 61271640], [23940836, 77961836], [72570786, 21159553], [14083218, 58040943], [64237532, 41605079], [70530165, 10012115], [35126237, 25166903], [53581002, 91955397], [66428711, 67607913], [45741665, 63573515], [24090224, 97177772], [32996601, 4239317], [53845559, 21995687], [99518495, 54866178], [49576113, 71203626], [33335575, 45754856], [80635818, 54298928], [18509207, 98962020], [52891496, 48925137], [74411631, 8779653], [95377145, 22600294], [76456860, 14189077], [23443143, 57709871], [33574790, 11550765], [60585723, 14022325], [62805667, 82824391], [15707747, 97115794], [92829001, 44606034], [58963651, 97626950], [88739104, 93348843], [77719178, 96534639], [48122957, 22431064], [38087718, 62021291], [49545316, 48688111], [25647998, 47067392], [49771948, 3549978], [35338327, 73217693], [82496214, 39201863], [58607642, 79443093], [89143136, 27709717], [32626736, 29811088], [85020793, 55974045], [5500341, 68998102], [52351338, 37726463], [17831522, 87635678], [83797594, 10540430], [72629665, 86455250], [73152091, 76859644], [50511848, 26598334], [94815117, 95620452], [62262799, 16998209], [31947291, 15520513], [54904324, 65612703], [65981118, 52805484], [73413807, 67641240], [95736504, 51405206], [19013699, 68435249], [65002654, 72583855], [64187101, 46204520], [55904449, 31519182], [51217400, 44745950], [90699678, 25672186], [62046618, 42822818], [51533267, 97027322], [25281768, 95036697], [61163400, 44310395], [71357230, 64153921], [13255292, 62904743], [6053060, 67319817], [27839408, 60243278], [84518685, 63362088], [56649013, 99011871], [11201361, 16910011], [43568413, 1870007], [14500172, 81004632], [81334935, 87022026], [24776052, 48281537], [56826634, 21807750], [98193687, 25119498], [20300090, 42661875], [8521977, 55404840], [96882088, 35100531], [59333500, 17997325], [33437385, 56565191], [1703828, 36387759], [94069750, 60360337], [95317825, 42557913], [63982433, 49768892], [18413534, 24092761], [89603307, 85469857], [5174431, 31338321], [69822626, 57464336], [79583943, 44211192], [82684422, 91131414], [15427588, 44113939], [41690305, 82646692], [21617015, 88625662], [53520947, 80404259], [53265985, 62160823], [79359623, 22432931], [40492129, 92311322], [6335539, 2622629], [93722608, 3568224], [93964663, 57953210], [35019473, 94408560], [38897604, 44407714], [3994378, 88888652], [93638088, 8529963], [55606691, 87120662], [56993836, 86767386], [29480372, 81685331], [50592543, 95453231], [76479022, 10972734], [60749047, 44171789], [76107770, 52204479], [11466488, 71980506], [31011695, 86249468], [63730054, 2477528], [30762211, 49671030], [43262131, 52442060], [78489249, 14697024], [2567173, 15666650], [95604760, 27325250], [69702294, 48360529], [38202391, 88602885], [55347704, 50092336], [1508465, 98098748], [16912478, 12598546], [35073250, 13848654], [19444016, 1525179], [30940296, 21965076], [98549060, 70497824], [10468262, 67553112], [28003032, 45620534], [8240124, 27621667], [58460298, 28408926], [9625536, 43889212], [41658063, 54925168], [82146792, 94861783], [86408280, 31724572], [33849714, 12922848], [83286401, 63803246], [43985418, 1017314], [21219311, 5862546], [55075778, 30765998], [90104174, 23971181], [61510905, 76123102], [44945149, 90544217], [9236486, 39729886], [97678431, 22963095], [24896390, 62480528], [48659882, 32506188], [67140633, 88644753], [52980484, 83678765], [52086079, 297880], [86478197, 44568124], [31082212, 10137499], [41529573, 90805540], [8254653, 21162148], [76268382, 10498937], [15265978, 63979057], [14318232, 15778980], [27377555, 57295964], [64909263, 75251025], [98760328, 20313305], [39669569, 42520802], [67532218, 42483118], [42573382, 11814362], [36267597, 3939902], [6916302, 75643306], [77476591, 52120459], [60615564, 76467712], [21754219, 37468981], [29778931, 41496368], [69612599, 58090419], [58052313, 94701496], [48838678, 78524640], [8748602, 98912548], [86745773, 13878054], [92182193, 9000850], [30388311, 76630369], [79622995, 15257367], [35432680, 25352408], [74776629, 46035499], [80893142, 21377739], [85426415, 89530391], [39843815, 71170596], [11570933, 29571231], [81627584, 47673930], [39099044, 64693228], [26609170, 45492509], [91178870, 57759994], [91566363, 51784701], [52775074, 77935325], [34733848, 83916170], [91481671, 75269245], [39562352, 79747335], [72756294, 94774906], [57173090, 59161438], [45141881, 86346295], [78001755, 7725177], [64217647, 42016784], [74076051, 98895181], [36371743, 71782094], [99232271, 45497164], [85856414, 97187689], [68058302, 91059310], [75480478, 55185195], [13412429, 69490578], [54819141, 23442148], [41589994, 54822075], [64352063, 92484254], [36900272, 77856400], [59567886, 66010588], [99834546, 81448306], [58338528, 31142369], [17314132, 78457648], [22671549, 87609807], [67738586, 61128609], [12222199, 37715767], [76691808, 52015000], [21792848, 62354254], [93955693, 32140422], [73869579, 41327502], [79545995, 9857603], [74953215, 19387655], [69658657, 69802242], [21711705, 34076963], [37315210, 4086711], [92317479, 72321618], [69938226, 81365132], [26652358, 24320327], [21026967, 33093870], [51228326, 86487281], [37413954, 26468153], [14432467, 1438071], [20761157, 30699803], [57657486, 61033505], [73400417, 72858258], [78046268, 5264083], [3065218, 36208809], [23921787, 66290319], [49234962, 34720734], [25142672, 82427797], [42049417, 89514510], [16425866, 48608817], [81903425, 10088984], [2315572, 56440986], [91605064, 99729365], [37271497, 2326719], [41178602, 48761191], [43796287, 7551060], [93487855, 53917684], [22191432, 82629312], [56962389, 61022758], [76898108, 31242078], [85215474, 46682187], [29152105, 72121729], [782986, 46558974], [32258893, 10650928], [94664518, 65241214], [31784014, 66843055], [71453708, 80750298], [78487581, 48604267], [96579438, 76185328], [59613747, 75709394], [73434654, 14235022], [57755819, 53117881], [12501126, 38154129], [45430814, 97158957], [73700508, 38205431], [13964285, 44342044], [27713828, 71154471], [54959572, 8184738], [79540206, 81715549], [89000801, 35568806], [52235378, 51007500], [30325055, 68393239], [74469119, 21820678], [81944050, 86319554], [44130826, 220494], [65976028, 46616792], [81422020, 96332570], [2738034, 8762445], [18709056, 67529524], [13939406, 1739992], [85964374, 61566112], [53759846, 58405619], [59273435, 78147045], [85155338, 56267690], [60135272, 94941535], [88948493, 16108373], [31225581, 89272290], [6194286, 94491618], [55611903, 78863351], [13610386, 63440741], [97596004, 62854743], [28657814, 36757284], [14824651, 53485958], [32682962, 74377920], [10721376, 20333603], [10861444, 43767817], [64451852, 6849071], [67932078, 65564818], [76670362, 63562721], [47007127, 96583306], [63676605, 70775099], [896554, 39004056], [91533577, 65527046], [16824007, 59906966], [37736669, 42962934], [11958032, 35449795], [44895353, 66657190], [4541681, 22322053], [92621091, 35735061], [34455539, 63689588], [95933381, 232503], [21151172, 99308192], [32292379, 25513116], [44206438, 40526039], [70980178, 50605866], [39973173, 31901179], [45265061, 62835643], [47533281, 35590474], [23186320, 73390682], [58638907, 28711287], [73955703, 2121312], [55959047, 40247895], [69754571, 59762898], [60396479, 78598255], [57481589, 14928284], [64167196, 7979924], [71135356, 1560895], [86416182, 99636069], [92874439, 47565696], [73371902, 26124426], [13014601, 81301219], [99852724, 72205641], [1793655, 20528345], [71694056, 3641952], [47730378, 27742778], [27102241, 94647311], [95020267, 62047377], [82754010, 48886162], [39312965, 37855411], [15838612, 52798286], [46549574, 91471889], [58763426, 20109581], [21974177, 43511074], [72728552, 14225849], [91829135, 6358460], [56104575, 32825716], [20237597, 70009347], [5982197, 76699133], [85694249, 41068493], [97001436, 5712004], [16802425, 70149896], [95579189, 17555510], [98436094, 53733685], [69427143, 83076310], [59686842, 89243255], [82973303, 12600088], [60725352, 2767393], [8242093, 22735695], [58732840, 10141274], [18650867, 33759709], [21619099, 58307424], [59193645, 81424171], [78469819, 4624186], [69290633, 79357079], [42417714, 78064171], [60136722, 93209113], [56879140, 59071222], [22629172, 22553355], [99208000, 84638068], [16186455, 47156964], [90934427, 70787171], [80242002, 9276198], [42509238, 37486843], [303661, 53473313], [29229947, 24347186], [66266135, 74850068], [4628516, 4544940], [67749793, 65919200], [72262594, 16985015], [49940152, 73388480], [13775851, 26003725], [61439814, 57591453], [90009261, 45391761], [66544879, 32912991], [39300303, 42843951], [43557092, 2859464], [27422226, 35721860], [52669485, 23156331], [50008636, 44698234], [57835827, 94334824], [62798647, 13743335], [74372295, 93769692], [57672634, 85189174], [72305972, 9902612], [59885952, 48432134], [53494042, 9344556], [44494567, 59522976], [95395871, 54322451], [99134524, 46399974], [67498072, 67301688], [11372452, 86354545], [75038705, 41403809], [5779677, 56520989], [78250660, 75251254], [37268558, 1652259], [69922358, 82152023], [17454936, 35710001], [92385428, 12666593], [25609837, 87700228], [37037667, 97030157], [29349155, 80488475], [86826177, 28709771], [55740470, 82390230], [77523360, 15406339], [3057882, 40221102], [9954846, 69119175], [82250938, 10532506], [82399057, 60309124], [19264006, 12099888], [60729985, 76606573], [16024011, 98400147], [85799789, 88704986], [89623063, 93788824], [22238510, 24110508], [31600676, 1585429], [38444523, 61282824], [23213594, 31168306], [93813813, 70600941], [33325015, 30221000], [98440421, 64033560], [8956334, 37929513], [22850871, 1870642], [34634641, 77603901], [79615907, 24794607], [49432723, 76376035], [73285330, 59903770], [59361823, 12945443], [77994867, 97127808], [41746130, 17185252], [54979884, 26640219], [18228695, 53667801], [64123897, 56458601], [17832699, 31010766], [13494784, 67407069], [35542350, 77424212], [50673908, 35747321], [80451483, 69163347], [32711807, 1937645], [82825278, 36299164], [53108247, 41745491], [38074675, 43694078], [68391746, 98792601], [68409975, 62659979], [26552147, 21489374], [28713648, 70959343], [47141828, 68332939], [48459851, 83225731], [94030825, 72964982], [76665242, 30208661], [18137106, 15243392], [4007249, 88886481], [17811174, 77587424], [36010473, 23107141], [61487873, 97380096], [31571676, 1744849], [43207048, 8311336], [32385318, 26311567], [23999571, 94284497], [45342986, 19449803], [55811301, 21057990], [82341208, 79040283], [18486499, 32344446], [18016963, 42578885], [21928123, 65996302], [5218539, 38006584], [77903458, 91658882], [13498094, 68396664], [92664731, 60019928], [37712224, 21723326], [50000736, 27079017], [32872930, 57346134], [46292907, 69709704], [38758298, 99842988], [23924133, 78820364], [59665865, 19320967], [48841350, 58763909], [65880698, 237162], [86843300, 48723148], [98954712, 70756757], [39665125, 57561703], [25243920, 31974433], [14836078, 79883736], [82686384, 32800062], [92597229, 1027021], [9619096, 1812711], [43662359, 77208192], [37313867, 44679822], [733158, 65325593], [94651054, 60666304], [80527633, 21610326], [48173388, 81801118], [10410465, 62807166], [80889650, 73131643], [46784073, 85996789], [64167527, 54674390], [25237939, 15669964], [97558646, 50489972], [45367265, 56899302], [68555908, 24683834], [73061589, 72128201], [75405376, 11546723], [51967163, 93834956], [95301088, 15139530], [84813261, 31860094], [85430374, 60022985], [29435415, 68797497], [24954649, 40720506], [10763664, 62641264], [46962740, 48383170], [43224085, 38671535], [47350570, 57364230], [12078456, 1829655], [74892835, 35571606], [25812977, 90971231], [64186111, 99724268], [83078777, 97906038], [12643505, 55468636], [3234277, 25350350], [20426300, 67934780], [63290706, 679281], [64187680, 78188440], [97338237, 48474679], [4917443, 24807058], [30050372, 51780739], [77591636, 75363202], [84052492, 9341955], [24978812, 1100906], [24873632, 55301736], [31522876, 20400556], [82323848, 21213662], [79686390, 21391627], [65902705, 18567478], [98173994, 42872184], [42250438, 33504353], [25337137, 94044113], [13907466, 60234231], [44073378, 45793757], [58581131, 94105201], [8696662, 75105862], [81824892, 32480931], [42408855, 7773649], [92041897, 74627709], [86630042, 71965341], [26152158, 26300760], [45038754, 22404038], [68435391, 34861728], [32840427, 90560306], [22154231, 35681181], [93074741, 83842021], [12571512, 187387], [16117935, 26020623], [65790091, 78654369], [48200544, 80296739], [88102332, 47808645], [51567295, 9056874], [66290822, 23180378], [38141406, 67953605], [22845706, 23861951], [78745925, 17703560], [91007982, 73572112], [74774942, 88293311], [45721649, 18181000], [87147669, 6218143], [2746077, 86047084], [85400972, 87863306], [82309270, 26943741], [53557336, 75224395], [85436906, 95142234], [39599476, 49852796], [51833486, 79679623], [83076353, 22671633], [80248989, 21062376], [37645835, 18284003], [1417797, 92522135], [46130494, 2332041], [66277921, 68053658], [25806795, 64989673], [15513706, 84993913], [70212826, 63354233], [83401838, 47184512], [90754957, 73867635], [16671633, 62042840], [26313943, 59917480], [87795200, 76554002], [54765253, 15989493], [39893390, 28634339], [67858354, 1726442], [38145679, 91491309], [44019873, 3796738], [34623062, 54597386], [43945589, 58785198], [71590622, 69276368], [82720873, 73035557], [32482250, 36795920], [87776561, 66230510], [46035086, 67057818], [95695839, 17415972], [97759124, 73012640], [56772718, 15496299], [36473254, 75455702], [63821870, 55469074], [75490335, 80151667], [54272402, 97048871], [12735654, 50395502], [96703481, 68229388], [94565577, 52832063], [45141277, 80052309], [99176959, 93576488], [40832986, 5783605], [53054595, 34964664], [1366937, 80804220], [58625970, 58754678], [21254657, 22896286], [45066491, 25029239], [42457200, 81729107], [22106610, 13251255], [3215625, 21044376], [90739282, 75249843], [89210689, 85415216], [31913880, 14666139], [62484713, 73414344], [19808050, 59304026], [72768505, 90202970], [11345796, 79342274], [13585886, 50190843], [80364654, 75659186], [92482609, 36329140], [67584026, 38843709], [49026870, 81177836], [12455317, 12217031], [121859, 97660262], [48730817, 57258464], [36163021, 88164431], [24022714, 89193104], [78286387, 31050851], [29799671, 63770565], [18461336, 41650859], [37976643, 82604843], [57879988, 25066820], [7254252, 70027642], [98821305, 7392911], [50438611, 14601233], [28815499, 26717365], [84171813, 217274], [59536639, 1692297], [35538147, 1736009], [40377247, 97332352], [38403882, 93755578], [36307887, 64427945], [50678314, 35396137], [33891679, 99538720], [28395028, 25981058], [87194785, 26076941], [38992545, 9893284], [82514472, 1561302], [70879461, 11961998], [65840832, 5560661], [66065224, 94389075], [94928160, 26801976], [60183170, 59345338], [95697432, 98587674], [28700572, 70792717], [84007242, 68620616], [29229850, 67625275], [13009263, 32111714], [7426042, 88971611], [48254032, 36057419], [75974131, 34764139], [43376123, 66194445], [88589557, 66731120], [93936630, 23814015], [61047544, 19790767], [8830664, 39196398], [89406467, 30201592], [95343899, 94386715], [28957466, 67847514], [62651814, 73493643], [70505889, 19225578], [31642252, 96572822], [97363114, 35336908], [18797212, 8309532], [75952322, 79905350], [75342900, 31545640], [67261836, 6121672], [84870764, 50280396], [26662545, 45970279], [28044124, 28842781], [93196562, 41287597], [85238289, 51607244], [10947463, 14417143], [63340462, 72146021], [51451383, 23203099], [74381394, 65122724], [44857972, 60951548], [97872652, 54084481], [67861255, 12047502], [72217901, 7775678], [64151920, 88564311], [50615584, 39717131], [38672291, 63779499], [52313794, 98849541], [81368800, 36494308], [89757088, 25616908], [61911115, 8142503], [82371309, 6907718], [90600654, 80997601], [40960551, 39840825], [23190807, 4532584], [56947594, 15015858], [2139628, 346028], [26544441, 27902715], [61373866, 66932793], [27940973, 62196557], [93634146, 95354419], [1585150, 37659729], [63525954, 35492818], [52956790, 48366062], [98182477, 24660253], [76961864, 34966986], [41527960, 91454911], [57793729, 69203525], [98686062, 56767905], [96677633, 81306121], [4994447, 46050402], [72310279, 25437541], [73996381, 10754147], [10641805, 13028258], [55688909, 64068229], [88674927, 32269940], [46649622, 26209603], [92558988, 86996869], [88959294, 27052706], [25116815, 30444889], [60177259, 37845912], [57416169, 250217], [95449662, 39923365], [22877957, 74844196], [31584206, 59530388], [94771256, 27852131], [38917100, 30761784], [73227436, 65894156], [92109938, 89945867], [11650987, 6618006], [19317547, 84500378], [21332688, 47726205], [2095777, 2407387], [83050042, 73788898], [89935948, 78271983], [22227284, 7631780], [82742666, 85871963], [5268292, 81803324], [55210719, 72237344], [58924163, 40494310], [48097527, 39583532], [23850242, 50693778], [52562361, 95838027], [67974922, 63482610], [1002744, 97024303], [48755556, 36319543], [74032905, 72298024], [21695607, 25654367], [12483255, 50482478], [60811415, 14524248], [71785807, 63840708], [39046986, 68847102], [49905558, 20459580], [66529432, 42383383], [55660568, 36528141], [3784798, 82431664], [81271235, 56965861], [2042088, 29465654], [57465621, 94933436], [35916318, 18699006], [54305883, 48136621], [4509114, 38175608], [22279215, 23899239], [31787913, 92994352], [42347697, 79583699], [98308928, 98212065], [10758601, 29072013], [63998086, 63712718], [73819746, 17192344], [630854, 72660472], [28444730, 95880594], [12753125, 23577596], [53501050, 11224337], [25315280, 50448448], [40202833, 79581888], [8247867, 8915413], [64941858, 46105548], [62727998, 90379098], [165700, 29688003], [34339934, 97676009], [51684652, 18079687], [67455018, 58552051], [15494943, 15106812], [9905760, 82228114], [36390359, 4679799], [71259012, 90188177], [73967773, 73542095], [5081281, 87479076], [22921605, 53869767], [60972044, 86561958], [63268468, 85172894], [19766977, 30713083], [31547813, 25227102], [13880566, 75856562], [17039664, 49862406], [40178576, 52381540], [23260935, 70416534], [76352137, 46915956], [20936592, 48960881], [96506131, 90109977], [9879321, 62229505], [14427650, 65346034], [38755892, 54508756], [40483732, 50271851], [44958123, 85644921], [74270785, 28652085], [60770294, 64628372], [44706752, 89616215], [35001578, 62134190], [15808174, 5228849], [65096651, 25499382], [57848266, 55271745], [76594692, 63417945], [64174256, 10902578], [74474235, 60194848], [95333839, 27850891], [71045455, 93192141], [944426, 29240901], [29780229, 9326552], [66852989, 90840714], [10385428, 42481778], [59659580, 39734433], [56160329, 93810600], [48595949, 93005933], [16203402, 27628176], [92961970, 76855616], [27208883, 8738524], [13803501, 54158840], [30876527, 59193236], [42133668, 57210848], [99053697, 60972416], [74989279, 28508593], [17962688, 79541657], [13593971, 74687822], [19259478, 24783726], [43308972, 58700261], [75661802, 51030109], [53359115, 43419258], [66963882, 6775119], [37151015, 81348093], [26825630, 79216153], [15134100, 52761001], [21959539, 49610632], [40450361, 53412293], [68679394, 46912225], [32437436, 76844963], [8673330, 75585278], [48970074, 85197297], [99571159, 87416464], [66596338, 99742390], [89580185, 90485268], [40472164, 59595498], [24067321, 27883003], [7097323, 61885723], [45750714, 80659489], [53523760, 21973210], [44314161, 83820485], [20123518, 31972604], [17368950, 10527523], [17016750, 81119098], [91263621, 89463206], [7220803, 49678051], [43729378, 41571905], [14785858, 66685165], [78837257, 61087244], [68146462, 38581296], [93815366, 97725544], [89457233, 75161188], [82995226, 67256215], [58044763, 45709645], [94999641, 67405139], [62837530, 8595279], [72873115, 56604420], [47078667, 83619990], [174153, 91550887], [25908597, 39309783], [63413492, 99141615], [48659609, 32878851], [15882661, 70650199], [38333658, 51487064], [72082840, 11364127], [28668830, 93737323], [33367022, 41472051], [45104434, 25713125], [62711995, 36290036], [36141673, 92636466], [66540017, 81947605], [15260503, 12098296], [37355540, 45760124], [84394000, 53893862], [35995396, 39457163], [15641040, 9960949], [3541240, 14093101], [79955801, 17861683], [52458835, 7010729], [80624861, 33427135], [30355113, 74089597], [12687944, 45930280], [64511960, 33899867], [52539321, 45477112], [61466375, 59280373], [69375084, 67348193], [75796422, 54686692], [39854118, 267516], [54081734, 45655236], [46866749, 67159953], [65984490, 60132338], [70752999, 52070274], [93461009, 18280025], [87605494, 76009044], [82773776, 29626025], [94293301, 42417769], [27480288, 96070869], [56335938, 5408125], [8810759, 23718635], [26036679, 71779363], [81934770, 87667282], [95201976, 91604593], [68868705, 47511325], [54046197, 8831256], [42121630, 46604005], [35056722, 94953585], [96469505, 37066979], [81967162, 69353384], [47195216, 7769333], [32653808, 87012375], [65035277, 12921928], [60357711, 76355589], [82301575, 80804996], [10652827, 85430223], [99249432, 19135230], [37519878, 38560001], [4861940, 91085305], [94259766, 70565156], [11122608, 80854788], [45042027, 50259476], [33369270, 7082068], [38288344, 70474789], [4540294, 64875730], [85614885, 99804258], [12935053, 55975570], [71304916, 79976791], [8104711, 92163763], [73186803, 74584376], [72543079, 49601204], [65759637, 92675143], [98232058, 11008689], [51688504, 34578829], [42748464, 98344514], [73671913, 87685122], [55141090, 52802212], [5063614, 41931744], [63199546, 12629857], [27932969, 93084404], [36782045, 44048456], [92960555, 78476845], [7828157, 52751105], [80389390, 72651419], [6255507, 99529083], [44666397, 64726973], [50229478, 63454125], [69733830, 89642073], [66755490, 97032104], [80955680, 40157927], [37361720, 93481958], [73799034, 6805182], [919593, 95314187], [15052105, 42436097], [94271540, 78119523], [597825, 59134782], [96189306, 7953211], [59600206, 15108569], [60731799, 12983459], [28833322, 92370032], [14010959, 97316068], [44728092, 96094261], [59733872, 21938044], [47748004, 9893216], [53244649, 20356069], [77510606, 71150252], [63886442, 4710142], [99848989, 3813239], [96972355, 88481187], [70971928, 93200798], [49821808, 82436130], [59407024, 71586613], [1632883, 3224985], [34501020, 4520133], [81864422, 99497664], [95199950, 90526432], [63542363, 32179353], [39312333, 78488668], [18130271, 70494531], [38002316, 34154572], [50680561, 78976734], [17938136, 18861685], [52333798, 12575952], [33018282, 48309260], [17673369, 53806096], [36819495, 5775403], [96105130, 48176699], [47244676, 67551540], [41516138, 39103388], [42630906, 67151655], [33311314, 59072795], [20358032, 37327813], [48216215, 76417828], [28846684, 78033184], [85057805, 77099287], [13622490, 54157594], [58888254, 11654399], [53834757, 21057808], [43464836, 32458234], [91115213, 80927504], [91991203, 34460171], [33406507, 21508884], [54459724, 41851561], [13198942, 2707419], [18085640, 96744072], [70108331, 73166481], [89528623, 31907484], [87438811, 80832207], [49186707, 3981882], [43872267, 80066427], [68593348, 5850041], [11468855, 11169829], [92447482, 70549568], [36058113, 79903361], [89762517, 34807802], [67557454, 75188810], [79128933, 78351656], [54467016, 61308705], [68173556, 79842780], [64021720, 26391470], [8095780, 57870284], [78948637, 25753038], [62040429, 27242667], [69954535, 9551954], [87690510, 18554313], [80139031, 18303], [78459691, 99585780], [84214691, 99716372], [78562214, 80648758], [20619344, 62027955], [70616769, 58639588], [95192181, 97199249], [32281231, 40458594], [35978919, 63217221], [81717367, 77559156], [93219066, 24880071], [94864577, 62844600], [12606147, 22847419], [79976629, 53799312], [84907389, 80056767], [90944165, 65839021], [50901311, 82098540], [86681751, 42536057], [59235864, 28055135], [28917252, 34588262], [18421982, 67335573], [33341538, 72094172], [95978262, 48530427], [19772111, 27560182], [56046592, 90716815], [61816295, 57174638], [73746500, 497366], [87502915, 35417491], [18824248, 38357707], [88139153, 66915933], [5691919, 68432870], [49165037, 96980145], [59770936, 43971701], [40993670, 45166132], [14154278, 45727924], [70680703, 1708001], [57381917, 91794994], [94482531, 42096639], [47985566, 61747513], [64565667, 71427896], [65634804, 2523534], [83705397, 91705364], [73810452, 70739691], [82935297, 57991433], [26762883, 98397746], [55218607, 92887113], [27427952, 31379765], [85643797, 51982457], [57007034, 54416222], [99369628, 62431606], [66467547, 33772027], [34694267, 42415160], [11120064, 46446187], [61615127, 78938070], [3044073, 12194761], [5189851, 68424740], [62859982, 22473377], [39238440, 5619634], [74932543, 39440341], [13645589, 96280853], [9842878, 24811764], [95512131, 37359028], [42267240, 11516756], [33766506, 76486469], [19979031, 89269628], [46315731, 51753056], [90750637, 14204286], [49676808, 83110323], [57662541, 22168134], [55817709, 22550888], [38296581, 374904], [61728323, 76773383], [4449994, 79530511], [58454431, 18704713], [88280094, 96143752], [48069213, 25693078], [72870135, 31611730], [32902296, 50412395], [54904470, 50862261], [73105833, 82540121], [3583701, 58670907], [79321765, 5152669], [14896235, 27584376], [82712506, 89785915], [18441255, 51991370], [88677660, 21677423], [15947411, 17334901], [90587071, 5948149], [82089484, 34774228], [32402402, 30534250], [67111442, 1583010], [13260651, 71492678], [2302797, 35143148], [47223885, 10641331], [83511898, 10917775], [86339857, 72647848], [63186128, 59184442], [91186237, 13900768], [2207717, 13968961], [55351529, 47153810], [57812587, 60500483], [96298078, 53069024], [83492646, 53272326], [22857959, 90294086], [34957667, 52662009], [92216465, 58446031], [51166065, 42666854], [81380666, 71694819], [8520101, 86415470], [40987510, 13561679], [75876717, 58291965], [88020998, 4116832], [39960190, 16720184], [79360584, 69488528], [80288484, 90704004], [28256396, 18948480], [13893924, 19333195], [30362600, 59052002], [89401953, 59964290], [11686019, 76746426], [36412502, 66539268], [75658526, 74866270], [15162026, 76765672], [77975740, 83400780], [73335409, 77499959], [17120199, 50700197], [61349047, 30862188], [34447714, 55649570], [38172372, 84766940], [15599238, 87912848], [86279661, 80974753], [74687694, 47234036], [76732680, 47635862], [64824400, 55012373], [15453592, 54809937], [88648960, 8546810], [66032379, 98111900], [42054229, 88440735], [28946198, 69247997], [70504401, 14748180], [59086826, 94159492], [57737853, 10457782], [93750780, 7368217], [4781998, 15149068], [87725824, 39019750], [95548518, 55085976], [87683144, 72730043], [76601104, 28184106], [3188601, 30702744], [26413002, 32148141], [64496583, 37342153], [53411167, 22016935], [7298063, 29742498], [52388472, 10023341], [3563554, 41570195], [23818872, 71494200], [1219915, 11526073], [20004545, 45843603], [72817390, 7037364], [40217661, 89887490], [19827738, 41167768], [80682996, 8461021], [70642548, 66126200], [67259190, 24993608], [4419399, 94455642], [35616367, 6956444], [91518084, 66560734], [20066145, 42906740], [51571616, 1634429], [40555983, 21339874], [82160807, 39527386], [57655034, 86616966], [70875905, 17434505], [27387855, 44537568], [97427580, 25016058], [25276979, 35138566], [16866492, 63513171], [92124205, 86562155], [17665134, 5387683], [53327524, 79007368], [4758196, 85433358], [63503526, 50905585], [89282637, 23931770], [20123252, 92475608], [53029370, 68703520], [25595218, 87588047], [77664227, 50458573], [75317012, 61419897], [8299012, 13318959], [9959912, 56604382], [77203399, 73748838], [63458276, 88426141], [79895528, 96274422], [18659827, 66247965], [75097744, 13986827], [9499785, 12355218], [21119418, 22872343], [41032646, 50356184], [1254311, 55187532], [23758400, 31559873], [43846993, 58199285], [44677317, 62777804], [70913824, 29989052], [29196229, 93594590], [39181630, 94951239], [28551225, 44057579], [21491642, 10225967], [13138026, 8846975], [49027555, 98887488], [71166508, 47962432], [63101838, 53225380], [31068148, 21138603], [77630040, 29372388], [90677772, 31215708], [53661215, 9159542], [68201250, 74684709], [48040046, 2393384], [59523342, 16221172], [84325320, 18881118], [40094854, 19783785], [43650118, 65574357], [27088447, 59391744], [73751257, 17677338], [38380002, 38647352], [42218013, 14361651], [215958, 27171863], [26499323, 7301513], [33409123, 59005964], [67130692, 5472607], [95513451, 5846652], [80482807, 17932643], [58294435, 40026159], [38093586, 67243184], [59275253, 31198068], [51624805, 75235481], [95228648, 70600890], [5170683, 82887314], [45625281, 2124862], [29414268, 3783930], [7928796, 70981468], [34357806, 171116], [97905407, 80342236], [79153512, 13722334], [64668607, 1572782], [28536117, 92999017], [95902220, 25492399], [83328116, 23800425], [21730390, 11483458], [49155857, 17131099], [13158200, 96722444], [55130191, 11427818], [11987097, 11713022], [19579083, 79953529], [36629545, 94325915], [83107710, 86956232], [56504388, 64391348], [62024628, 63225700], [70457832, 56840941], [64945774, 67097907], [87111858, 53844535], [58460330, 48137722], [16371721, 87635961], [56983574, 50016219], [49827819, 96842446], [27642857, 28505150], [21394139, 8926153], [61479270, 22877081], [64998266, 9951624], [86687778, 46188753], [41097225, 56926461], [76264473, 79821893], [77994863, 102137], [34455716, 63177369], [39815322, 94062650], [59393166, 41654314], [35677154, 97168715], [88196465, 27054505], [91470513, 3174940], [65276534, 2587444], [16359141, 50895504], [63656463, 65966814], [87675064, 83056571], [98247515, 29381566], [49164206, 89017059], [43102623, 39040035], [46170132, 65030937], [82193269, 1268880], [85649465, 81856043], [32628974, 9783047], [64045232, 55197845], [51036884, 34891721], [55738740, 98222484], [76955782, 62339492], [52383330, 19488823], [41557044, 88014735], [27624798, 40278697], [2938193, 68609880], [22800022, 44889242], [56259598, 57099164], [437696, 84437384], [36253746, 52019247], [36118188, 46264210], [57766188, 43981721], [79207205, 36497301], [74383027, 71488679], [38737686, 60153788], [93354980, 85348167], [32119665, 45796834], [84962938, 30986307], [84539058, 62520688], [56169323, 61191608], [44061331, 479758], [14372254, 520137], [7345100, 90747279], [59537415, 21270483], [45827719, 46513789], [79815088, 88830631], [33687473, 62914926], [5487118, 96249825], [42738010, 71496497], [38944310, 34837408], [14999772, 39883179], [10071257, 80014005], [57025737, 14622022], [95534972, 62996697], [4389038, 30763570], [50781451, 18244509], [23240087, 86890918], [42311692, 65777750], [29888947, 27550271], [45226894, 58117841], [33800835, 26838806], [67967628, 88211263], [50443935, 83074522], [19041783, 11941942], [8245693, 55129224], [44584564, 72428540], [62507692, 93936921], [58396782, 96438358], [60847832, 81429206], [18882041, 61214897], [38538843, 27842347], [8250707, 11855283], [13281739, 10794647], [58426120, 63945281], [90828623, 72026301], [35824091, 87855079], [99082861, 55255644], [16709969, 41206320], [75090311, 47038870], [91071415, 20052287], [72177138, 36552711], [93058650, 43301743], [54166781, 15705947], [17690392, 73392237], [75506202, 66992956], [38905896, 10436195], [18984715, 13278728], [85504494, 82019024], [58524093, 28297565], [97080896, 99879325], [41972563, 97894783], [57367146, 24060107], [69259182, 4289729], [77323035, 19532441], [51631384, 63806524], [24313602, 61391045], [47369640, 66540907], [40365770, 61789009], [63252155, 13918522], [53578447, 38309567], [36735133, 30601634], [35518808, 74698338], [22448368, 15262409], [75932664, 14266829], [92622340, 77151745], [11071155, 62402835], [99981133, 21780219], [57719205, 16316646], [21853387, 70879158], [60539718, 77824918], [72142870, 43091556], [82790567, 90564399], [76573095, 13864140], [171361, 91370248], [9921875, 92397604], [9960662, 32524239], [11557262, 84913106], [94560796, 34096597], [91880279, 74965778], [16582904, 48746736], [28156169, 98831736], [74557518, 10781994], [34297162, 49211976], [65893463, 67827112], [42827194, 66926819], [87263214, 73143190], [99604356, 73694940], [76165477, 77157767], [33034944, 96028660], [52211423, 84722303], [36054072, 23267157], [95270066, 63521519], [3315930, 45685138], [33758290, 61663074], [96803379, 46573615], [77231410, 11319105], [1315109, 25022638], [58403779, 67709055], [61304103, 30891918], [8360816, 58151792], [5450831, 83133665], [79125573, 23541728], [74977507, 14892043], [92059078, 56477734], [5241343, 83499509], [40179544, 31425398], [1774306, 72480156], [1825791, 92229025], [59637312, 61835026], [80404490, 15046028], [361683, 14058328], [49707846, 19019445], [55892574, 91627073], [69108616, 30064020], [94505422, 92893180], [33403016, 34389662], [21368708, 19673819], [29111986, 52261509], [11359013, 70275468], [74179568, 61338074], [72261056, 48044515], [57097310, 86882616], [39404071, 28917587], [33817401, 62751448], [39275433, 21803812], [57629762, 28071453], [49015466, 14756657], [25041652, 63176580], [86753827, 85200201], [38976444, 97519698], [58456357, 58290529], [62990548, 50132594], [56221699, 58293338], [56533313, 97477380], [30223338, 85609366], [40846978, 33620178], [83518376, 16855103], [79610122, 36394963], [42456857, 12372845], [76435266, 82475145], [3644280, 27621119], [8942799, 43757531], [84592635, 23824329], [47180827, 62112361], [3641759, 71970580], [98396541, 5287567], [31831269, 70934081], [60696433, 55034448], [8077252, 69318999], [69573324, 86809479], [95846794, 65511043], [73653113, 43176968], [34911413, 35289125], [80846805, 76730911], [57270049, 64007290], [46729019, 62047703], [40420667, 32834124], [35795383, 24737583], [47492433, 50216439], [34103587, 17803847], [75789826, 47828389], [38680999, 49545936], [77938368, 83569879], [9419509, 12238740], [68869086, 54867901], [72098529, 71647958], [15328936, 28737624], [98580459, 52433914], [3668423, 61316867], [13990353, 25643528], [90210129, 49743058], [93541880, 79975304], [79888848, 2872075], [67686381, 45201091], [84153278, 34732943], [97094084, 34844922], [71700010, 24944698], [58455998, 90372484], [36165734, 72990998], [2404733, 3372518], [94715281, 35197470], [55620222, 72159147], [63784433, 46193960], [3318840, 40746050], [34191816, 82256338], [50040042, 41719735], [23067879, 99675969], [55576772, 872979], [92645437, 28821081], [51027194, 44688041], [74589433, 23646354], [1728548, 69181149], [26636436, 25725040], [35298572, 9581700], [97932728, 21182972], [72611243, 21466751], [21092191, 21410235], [34750562, 32524148], [40536200, 18847700], [1955104, 1156062], [74129704, 11063522], [66539974, 90058024], [76360120, 74847705], [19759625, 80222279], [55780768, 7779870], [20409791, 2098099], [86372, 98772767], [89765843, 48130920], [80837780, 41622464], [39935061, 27136190], [98162563, 18638749], [91678039, 97535449], [93834704, 90011828], [5728458, 72524886], [34574468, 96170524], [33916746, 59773067], [21890335, 93870972], [47208543, 94711243], [95418329, 67691969], [93932716, 48865337], [33939068, 8152059], [2835139, 71078771], [40434118, 56817314], [84654450, 50288540], [49819345, 73259749], [94555915, 11027884], [96221191, 95171298], [48928138, 98612265], [83093510, 7319080], [35200365, 93957253], [55470810, 86406138], [26662637, 65670133], [23257628, 75297027], [80405683, 81167906], [91699992, 46742521], [45209352, 15746809], [17836469, 1845686], [64000932, 89054236], [75561713, 67826458], [61938656, 80010751], [23723004, 42866818], [75902650, 90960480], [40803597, 34535547], [1136217, 49390478], [72795430, 61291907], [6149342, 63589330], [81576476, 2726192], [60369153, 60049265], [33739713, 47449091], [50413295, 61885968], [6085682, 89929695], [17099309, 23943972], [43831149, 40794890], [96625548, 93449327], [32765691, 88591485], [29401313, 66474236], [63532748, 76785754], [28784350, 44319284], [16551401, 70446952], [36679550, 39021028], [37251478, 65260446], [68250096, 84874180], [14531469, 79549581], [28242610, 71297201], [41806002, 85608298], [38709147, 66093302], [44055136, 95680924], [55909816, 45128536], [87756895, 49452184], [50731649, 31782064], [3577533, 188401], [66765643, 83610381], [27784184, 4565782], [95980106, 80626226], [30537704, 18033565], [46203326, 62759420], [80961110, 38402454], [60229032, 88276421], [91231345, 89592268], [73844133, 59239424], [36014016, 28182204], [6445395, 37411513], [68068336, 62865177], [639084, 87034893], [35936303, 81820929], [50528085, 30408571], [54285920, 60858260], [78524785, 1029926], [56659898, 65420421], [19108773, 83352100], [4377689, 38392642], [67144099, 19232454], [69429146, 19198457], [6739544, 57462255], [71158888, 35522159], [57542146, 78633969], [92129383, 21282565], [86914303, 53219050], [19470962, 64205260], [54197794, 867481], [5408220, 39178714], [97383346, 8186738], [55367836, 67908730], [14166984, 13230118], [49428476, 91747265], [45128735, 45389289], [64106742, 18379129], [9813225, 31859836], [27742077, 44687590], [58451929, 11850500], [98760779, 55892059], [27905276, 30693005], [78892855, 79380693], [21659187, 3631191], [24414509, 482767], [44996283, 30878452], [45832941, 44220340], [87189173, 63598274], [1506014, 99452872], [11493402, 3110175], [41689330, 27460303], [10207751, 7748047], [13544221, 82379713], [645657, 94808503], [45482411, 51195875], [83146667, 99170525], [78807164, 1055210], [44170728, 19467432], [9664409, 77096238], [57653723, 61568828], [8744505, 81705775], [83007364, 48424341], [85392403, 75220726], [86526162, 52833346], [76465078, 38641341], [43521219, 72549359], [84719671, 37458069], [41693984, 6395408], [51785633, 63480269], [1240313, 98219042], [47844828, 38892292], [27280621, 81242449], [68567415, 20507393], [19790018, 96755491], [64424821, 5621932], [20351420, 39508125], [37372978, 78761255], [91112408, 17851903], [93343788, 62225224], [70813221, 73048557], [77012856, 60304082], [70498118, 66895615], [37452039, 65183400], [4249910, 88361313], [89924560, 56123080], [90800516, 22717399], [49860270, 54514305], [92354367, 56922081], [85725416, 21299726], [83470170, 54985983], [41273675, 77959082], [81199956, 41883347], [26423813, 67585673], [48002975, 35942997], [77707214, 5238339], [53431157, 54932043], [4048702, 94789670], [58897002, 80464443], [21837331, 42930492], [67622588, 77976545], [22206314, 50442537], [29768752, 89471469], [64842462, 72690887], [79341283, 96599273], [93815451, 4269056], [29197396, 41362043], [5924023, 90852548], [58672124, 46513774], [32206844, 25027083], [99858598, 53352732], [39734995, 78552511], [3592149, 69512712], [64094082, 77294220], [10222067, 3563390], [2784657, 2690137], [48574716, 90487835], [61403314, 59693641], [71896628, 90624207], [68918106, 61922970], [85036831, 17359577], [44712481, 67970603], [11485594, 74117163], [40654351, 60313985], [60864581, 75838661], [18838918, 78445971], [50915995, 51458359], [19313479, 958200], [42168451, 73978157], [42758926, 82047648], [77483755, 38727963], [38526138, 72246667], [15685971, 50902903], [81979675, 59066684], [33090979, 20785497], [96223960, 1285632], [14207939, 17156008], [60867916, 54317132], [43445465, 28848636], [19157014, 61089157], [25493195, 74964497], [91822423, 20672156], [40352989, 76779807], [43435700, 83451599], [87346652, 47468054], [282860, 95345913], [2293317, 23085491], [5208386, 47100498], [81241673, 34391800], [24439633, 80921437], [86624535, 88021954], [58658362, 38441189], [74554249, 78730841], [18074967, 51438156], [78160911, 83687740], [96360345, 27037884], [11125634, 18257257], [37474158, 89057098], [66309908, 51200301], [4123781, 7016896], [47960799, 18424802], [16131128, 58363473], [88104326, 82494562], [50104585, 21476146], [86598989, 33979243], [16201270, 46573427], [41498534, 49772578], [26163410, 36813001], [83355517, 71239814], [45728681, 90273133], [87882945, 57490775], [66975061, 45384535], [82931287, 21648243], [18618604, 56526400], [78657177, 67531746], [44120125, 36174243], [60339540, 36846357], [24495382, 55374826], [58276802, 94991600], [19800664, 50141980], [46685976, 7807494], [83719110, 83920394], [63452754, 85749051], [19116759, 59907978], [71494576, 58415994], [38546502, 34063567], [49911095, 73209492], [34227700, 18195892], [54332826, 49912150], [51697244, 39341048], [93384070, 24465651], [63865700, 29474219], [56336251, 67510590], [82884451, 41015425], [85644263, 78235255], [23138846, 95973463], [16492851, 97427753], [60055418, 87698136], [61361731, 8829662], [92452114, 37284718], [42441587, 49102657], [86369453, 32126402], [24354054, 89687714], [43065113, 31646250], [965907, 4863635], [13630721, 82311148], [30318421, 56752348], [88976126, 56788505], [65574829, 32974549], [27362999, 95506679], [44147824, 27849972], [58108817, 7146930], [36303790, 24978866], [79001414, 96036090], [64594496, 59530762], [30009807, 62772105], [33405480, 70507831], [20836848, 88499089], [69321215, 3045406], [6889822, 62742588], [66570197, 21426658], [47885864, 60506455], [12033437, 67715805], [30170257, 17308321], [13167233, 13091705], [45960781, 17051143], [84509345, 19718480], [17683229, 33715084], [48732070, 54861333], [84563389, 60453711], [46898071, 75823676], [56423888, 23926256], [55823638, 55958656], [24100885, 73098821], [38073781, 27526518], [97048239, 55820279], [25563307, 43188311], [21625813, 14161108], [23167648, 87817084], [31913002, 96911047], [37589459, 87125501], [85613209, 81983725], [20392893, 33608600], [78742099, 94001195], [59287674, 27060298], [2268648, 70389397], [98796296, 890968], [8826164, 56633275], [29680452, 39062213], [18281056, 6287335], [74495872, 81640721], [85942485, 48733954], [14259679, 75677308], [66080792, 28102755], [90419156, 24706170], [42254439, 89587437], [29184266, 59675667], [77678955, 53224631], [16502947, 72146271], [23509469, 40067127], [57951341, 76826015], [82934893, 64012283], [79359340, 38854535], [43751351, 87343175], [36264078, 37142569], [80289818, 71547840], [47037878, 3935409], [84858646, 66796629], [27203159, 74164830], [86834512, 23734943], [93451223, 6528524], [51159443, 6664814], [12701722, 66288925], [77306151, 67680129], [36772244, 72210959], [95396680, 64319092], [34175446, 97434216], [75250461, 2713821], [34431940, 8442808], [37861231, 75448316], [66628262, 95154188], [5955041, 96952521], [70742803, 87682298], [62778174, 40437711], [41354398, 30590797], [76502828, 86387881], [38306866, 50024781], [79349830, 71944818], [53053564, 96334563], [26100256, 61252324], [47331493, 26422153], [86068938, 6917177], [14993145, 1808426], [25721287, 67765678], [86773898, 79063634], [11684880, 93275953], [32247224, 86223276], [58174578, 4199301], [82248587, 1022647], [77072907, 4263324], [3109672, 90098534], [76268375, 36685674], [17735163, 50380865], [45073048, 21174919], [27144709, 4996439], [62918025, 58061195], [71546466, 11117592], [57772318, 45730451], [73989172, 29298259], [50511828, 4544869], [70910469, 69180304], [44787707, 52563810], [58618140, 17209383], [83828539, 54964489], [41164842, 24449901], [92658926, 27668452], [28600274, 66477773], [70057408, 256797], [53572787, 95757786], [99739784, 65070495], [88468270, 16005198], [86986796, 88021722], [624993, 27115528], [54800848, 93030287], [40463748, 77758396], [32496122, 22069407], [79777923, 85630335], [9547550, 54203319], [29417577, 23387730], [93025604, 37268223], [26334538, 97193692], [75424416, 31103867], [79035725, 76068076], [64842730, 26469634], [21990220, 43543343], [22401838, 34841074], [11116658, 92405216], [44257450, 13203144], [11531458, 25597542], [53780599, 74966437], [56436260, 95144942], [70475876, 14490692], [76437034, 20466809], [42791510, 11154917], [94191298, 48189928], [2708240, 66630971], [69790481, 5728552], [60763051, 41244875], [62798260, 38880983], [23372514, 98417895], [56747635, 40475037], [39988482, 56276846], [22435243, 56518806], [65091501, 82684543], [43947087, 95228682], [1027356, 32918468], [50806663, 4358131], [58873061, 56486388], [18507232, 81981918], [66557688, 25506480], [89109211, 12971116], [94529319, 99730036], [93862934, 71001040], [41863156, 94938588], [21023784, 89463630], [51324344, 44516184], [73223492, 38555281], [26557899, 71856457], [17655231, 32305309], [33509622, 71214377], [21657488, 47375118], [10671113, 42791435], [65180964, 57637787], [45594409, 73311687], [88107820, 20301398], [29946949, 56762049], [30859199, 61020421], [98747324, 96322193], [72434876, 76435294], [73143418, 76881457], [29284862, 1764106], [24859974, 7646458], [62925700, 14590259], [31086922, 97032626], [3427579, 81507888], [20687093, 18579938], [83563035, 26341928], [80321843, 26235271], [6523224, 44336919], [85200327, 54700832], [82083519, 33387150], [51430836, 53734542], [66216900, 37125810], [55451112, 81531423], [84019357, 66716452], [87107759, 55064070], [62461616, 51536822], [64476531, 67794875], [78980950, 60351941], [94446121, 99193222], [61326899, 62292787], [33559778, 22185272], [6541400, 97586336], [7318859, 96849110], [13399898, 35505615], [29384275, 47790579], [20438126, 38262853], [85798005, 65416063], [71243607, 9119266], [20012858, 36192574], [46950338, 3967904], [9716375, 75675565], [11277547, 62111141], [83071103, 24101361], [2002749, 46902135], [4835621, 1137806], [20129177, 54230670], [18087340, 63930340], [30677699, 8726755], [19790032, 40986828], [8000204, 17325040], [52477166, 1482008], [28479896, 3757475], [76529178, 96486543], [41820022, 56528305], [27525133, 29268832], [76914221, 34809107], [76899480, 23328434], [41671403, 1849885], [8641046, 98453810], [67140373, 45800575], [3706586, 76622985], [38025900, 17817560], [12820402, 83259810], [64614497, 24279520], [54802187, 48645124], [34658546, 59117161], [50622505, 42750823], [12863452, 97184621], [36412183, 17502594], [39098649, 90271915], [15226156, 28233559], [58987681, 64780778], [12697289, 12593870], [21578262, 9992762], [51974006, 23986684], [37946368, 52752028], [72278658, 50416251], [32574610, 13843806], [75061248, 28359078], [39982338, 34721859], [51887461, 89297772], [25243109, 448482], [85569466, 42320727], [54234129, 19189346], [24467942, 82538266], [50635065, 62592130], [74906390, 58966144], [52124016, 53713487], [79472967, 7463254], [62159907, 56713642], [45630172, 83983839], [26230673, 50812277], [23064008, 21753838], [36977989, 8580516], [49318526, 28746003], [69401007, 18716909], [23064817, 29125681], [6187600, 20088764], [82705114, 19971407], [38050381, 58478816], [56200995, 14115814], [60179201, 80779287], [22465880, 87557335], [35055403, 56103927], [49668365, 43760699], [66108660, 27936449], [98491127, 28933634], [61853411, 17202584], [54706806, 56487808], [31092730, 59220765], [88239842, 4181797], [58565946, 268796], [92518187, 36418613], [32194308, 89327142], [94884093, 52187296], [44712816, 83726582], [94566991, 38813403], [63827092, 89943851], [6128319, 50477574], [51169780, 28642099], [30441522, 97285038], [60907420, 43715956], [19888397, 26744212], [30070300, 61170928], [10328704, 87147247], [40030819, 87263182], [43693077, 85678210], [76748480, 30535736], [94582114, 49613701], [52375336, 79301672], [55145473, 98653088], [75368361, 65368854], [70953351, 91854759], [64386112, 53324598], [11897680, 93943029], [1824197, 71362302], [33460166, 59935845], [31858076, 31747575], [43423988, 17661701], [91597948, 5742883], [44695006, 16923048], [92404141, 29329513], [96771320, 9703694], [21597534, 22444931], [56842915, 21066236], [1001266, 27434839], [14511485, 58304391], [8270880, 12123587], [95368232, 24337821], [26296761, 1592808], [9371027, 9463406], [24135632, 67886829], [4609694, 26332669], [75759110, 25042780], [58949409, 45712703], [45341690, 60382726], [52941064, 79991780], [8184333, 12065777], [68941814, 22267782], [36429326, 94306875], [4798125, 90024567], [82949277, 48347663], [99098342, 41757005], [51575793, 21419715], [63241498, 250970], [54824263, 94298109], [48709491, 51771104], [35106360, 33384157], [48116880, 23757189], [19523474, 29864951], [63652586, 72331152], [4481818, 44648620], [52761915, 16111891], [64652420, 97912412], [89332082, 6924434], [29130312, 7419293], [34467454, 42274313], [15579547, 95743895], [71129447, 29651414], [99563801, 79600585], [11081635, 91899858], [98871821, 81590825], [19267031, 42871155], [97777642, 25988206], [85668512, 31826248], [74048860, 82334664], [29469808, 96446135], [95792500, 97106720], [24527734, 34030657], [66382263, 58774128], [83449010, 15230788], [21659298, 17277793], [71144296, 34906107], [45616169, 61339841], [41818822, 43139381], [10208982, 68764988], [48652861, 15057954], [95175511, 71128526], [80309115, 67146890], [39324789, 8080297], [75924561, 56973776], [3507580, 13942602], [3710604, 22053110], [49836231, 10673682], [40652851, 81928588], [84611671, 32922169], [34078743, 99081227], [7757127, 13407660], [89124113, 72256477], [5420940, 60700356], [12050250, 97527711], [46164757, 25992268], [38313806, 76412336], [69549798, 23748018], [70071756, 52147016], [62641247, 15701407], [46619958, 20299803], [40138785, 5311357], [96698577, 55506853], [76447247, 15604607], [55451914, 18090093], [46830298, 12989004], [20409437, 72727635], [86570180, 68658099], [56234026, 33053293], [48623291, 79254553], [5539494, 93987591], [73496482, 66335706], [57356655, 57233576], [92419379, 99911119], [14870495, 74236970], [96608035, 53514964], [16541326, 63924851], [30760002, 2063901], [98178925, 42754895], [70839121, 51327022], [32431727, 34232693], [1915044, 6163764], [54292468, 57005823], [3689310, 17037653], [69988645, 80370000], [96512316, 58907088], [49694438, 83783998], [37241999, 21943328], [59053977, 56430117], [29901681, 43736337], [85846093, 90963103], [93559524, 75124862], [40190824, 93188901], [74795548, 51087065], [64321168, 90890105], [48018351, 10880676], [1122931, 49730234], [65595608, 77718660], [24727662, 84417474], [42639565, 79973580], [74432153, 35472895], [59691088, 2866239], [86713601, 81859753], [69950236, 89896895], [13502981, 51268018], [53755230, 46369347], [59039580, 75596111], [38808573, 16416004], [45911028, 1763807], [26841729, 33604889], [26193203, 47887554], [34894293, 47508856], [58373358, 96363772], [34216266, 21958137], [79686452, 84200225], [65030558, 80103265], [20488140, 15403511], [94255854, 93673615], [71931344, 79060666], [39892374, 70894204], [22172589, 99802210], [93704000, 55680822], [40645257, 45552006], [85122673, 31674704], [56590147, 55835058], [60371966, 68618264], [11683448, 6054189], [56136958, 59260969], [75723947, 21641922], [85891208, 30173650], [37328114, 62108564], [77524381, 12254160], [70746606, 70719021], [50260583, 63453181], [81984044, 18932201], [44398338, 29694419], [53922929, 44085836], [69216395, 41790714], [76009123, 22565896], [70314780, 33419822], [77520936, 16884971], [19539401, 79957445], [28702671, 78584255], [62988468, 49695298], [45386279, 37266680], [51415152, 17755936], [98343477, 98640997], [38672182, 34849118], [51954059, 38485592], [20962242, 23399486], [68489080, 9706999], [69622706, 91458951], [54697253, 47082980], [46069349, 5550333], [6448369, 17621619], [13951519, 23750304], [71516999, 86267098], [43277072, 19031411], [73333821, 85706045], [22032078, 28041077], [45782446, 4467735], [41970455, 89401538], [46496631, 16860315], [36427189, 91595698], [55503089, 72852631], [58310379, 43138493], [67403253, 18353641], [10191538, 93197803], [20540640, 20420926], [28435731, 12607794], [23825977, 62182622], [59920968, 77369476], [47299197, 91204067], [87748748, 92289350], [64774959, 72255287], [60781653, 91066780], [10057970, 14626309], [69367794, 16158941], [64631722, 44127279], [94926737, 43313233], [73958791, 11100280], [2850159, 13470379], [40593914, 7519553], [6686643, 5242210], [89958489, 62450470], [96679403, 89016182], [76581242, 82775916], [69099212, 49214543], [75230012, 84588193], [71422711, 2429191], [35746485, 89091673], [96518324, 34941743], [93134767, 51689423], [36485741, 7925955], [34149720, 96470170], [60773168, 89853711], [34453830, 23493491], [8606268, 75009323], [92108433, 73074784], [57369066, 20609267], [78379549, 66577418], [47556641, 80290925], [33022269, 60966995], [41533752, 81308944], [47363327, 49305752], [83877153, 88120129], [928974, 13130271], [36140605, 49502229], [72816305, 79881139], [78382604, 16385060], [92133201, 49990691], [27227800, 59085749], [78729878, 99245324], [70871322, 54999202], [79956898, 53909049], [76971930, 57911365], [45517571, 84567857], [76921070, 74162553], [32321654, 22683456], [72834954, 75364460], [19095767, 33655789], [39775695, 6917689], [86873271, 42360616], [2574703, 22903161], [88422766, 50766903], [69278208, 52039547], [78292891, 88561195], [1024026, 85180573], [40482681, 10539905], [47638522, 24331912], [62953742, 41038556], [64633950, 74395552], [88888520, 42625054], [40331976, 64403459], [63012474, 64978748], [38244887, 84877943], [33285684, 94222857], [44976048, 94244280], [56097486, 55360127], [50511044, 39746967], [99550055, 1201882], [81337049, 80614587], [64631260, 33535214], [46660727, 28910741], [80419319, 63132887], [36640255, 68615837], [58936830, 42598501], [66077568, 30165179], [40421777, 68650570], [96356817, 31501648], [25905336, 2678201], [40158457, 30159386], [77762403, 28382637], [48592812, 67531673], [14015970, 89431953], [1530978, 82545661], [55489777, 4083672], [82789900, 72717309], [58729265, 327788], [54086642, 68128277], [35300472, 68592113], [89977168, 41962320], [48803372, 4196405], [36265306, 54661459], [40409217, 45036293], [17569608, 16865251], [9286534, 89910687], [41950552, 66140389], [36502649, 25040229], [52575242, 87818672], [90040206, 71043935], [1335442, 35646176], [65927378, 88458568], [50299199, 65869047], [74297393, 11410825], [40171026, 6528920], [13616722, 86281515], [11557631, 44045872], [49554065, 36558698], [91557352, 53113467], [4027918, 5801147], [34361237, 18530049], [8026875, 45932238], [18794041, 70116047], [6072397, 33319524], [68892596, 2331110], [26197118, 9607640], [19115685, 32966852], [44008731, 95657083], [60260330, 31794531], [97920669, 10526293], [27435826, 97006510], [3457716, 15569997], [62893521, 41800847], [45302271, 91471951], [20872325, 43746892], [46254317, 49846324], [2190334, 67512205], [49290794, 78392522], [38232153, 37975560], [13307243, 86192630], [97373613, 90333966], [24146793, 30783730], [44202657, 97964466], [2864740, 40960961], [93082948, 39196090], [30156475, 88840964], [24975346, 86924925], [52960887, 15124756], [82635512, 82704776], [1771939, 63159346], [37207466, 34015282], [39767831, 89076072], [43829062, 83098309], [41014494, 8088334], [47592435, 38153322], [47039684, 86226303], [93376179, 96265109], [60225078, 82112945], [48442391, 82204679], [43604773, 50767860], [55730962, 5091168], [88031612, 37707557], [8033420, 79326545], [5128569, 31041674], [57857594, 34659845], [95900538, 57920962], [3024237, 760149], [12347600, 74726278], [74474118, 17527685], [95136371, 45610829], [97453868, 3992971], [78394795, 47134456], [7323836, 55602426], [21705324, 99741776], [58610358, 3695367], [65602806, 48822159], [34290330, 97046428], [59665285, 30105888], [62601795, 29731057], [1465966, 59174043], [84398010, 54499555], [92231123, 14528302], [91815117, 49823483], [67470253, 52053149], [7023620, 23804776], [9382520, 68530885], [4437518, 61709901], [64066889, 49369652], [37564235, 56513931], [60573384, 79692348], [40803607, 27728355], [4336826, 46461796], [62390675, 35459467], [13186691, 66968217], [20797715, 5897108], [98818521, 86500293], [91818772, 52047186], [23607701, 32986396], [73660360, 61017962], [16559454, 56972634], [92686496, 18302603], [35363090, 44645627], [3720205, 57587578], [89559721, 3296919], [85283567, 19215700], [30900612, 85188263], [68415974, 94956082], [27205065, 2411798], [68648847, 80316705], [32743674, 66463190], [13372201, 77249377], [41871042, 26538377], [3401810, 77779238], [63817611, 89199553], [68294816, 43586260], [73010019, 86584577], [69212993, 27743734], [95507735, 55903044], [15884258, 320615], [25496945, 7064846], [10594412, 56613867], [59947951, 73814510], [24567143, 22815990], [52721371, 79707066], [71709248, 3590785], [23467198, 85424658], [53397676, 96989458], [21314552, 96301624], [49216430, 20914376], [96505508, 12883309], [1309987, 95630883], [18042196, 87725676], [41298753, 46151254], [63517643, 72263598], [14607928, 56669723], [88701408, 95008774], [70157568, 91299797], [11441357, 33289266], [56945471, 49057318], [52528084, 91216695], [80641319, 91250674], [15819742, 35838477], [16817750, 86952463], [29786435, 65586385], [91529089, 64649329], [88305626, 91499441], [57244407, 84140239], [97660817, 9345734], [28613904, 24536987], [67522077, 2843049], [16518712, 29243858], [57688112, 15465788], [83286591, 66502255], [78953261, 73539077], [19762729, 9852078], [23196635, 68788752], [75458415, 16430607], [92322077, 37552054], [74099931, 29549533], [28259272, 94997606], [22320096, 41731015], [93513815, 11032212], [66092003, 56385982], [98563094, 29137497], [25229322, 51896632], [75723570, 96950770], [67118815, 82676082], [78568754, 45479372], [16366832, 31743348], [80723935, 56174545], [61103004, 62777699], [79562816, 3381084], [91221450, 74105734], [81649768, 23236039], [63009277, 10528103], [39205257, 33190320], [26435170, 14309327], [64709677, 92994580], [19847798, 18779596], [23821277, 15773561], [37427790, 84957863], [59801189, 22427583], [89794819, 17847320], [27469931, 10743023], [91653334, 86152300], [39525229, 34944972], [23686823, 19208417], [41960575, 38102859], [41441789, 25842360], [32530395, 78899889], [96969196, 81218435], [12792576, 94040557], [28779155, 58234744], [54884609, 94089081], [38079692, 73945214], [65805021, 19706981], [69588851, 97612216], [90375706, 12189656], [78866884, 86060978], [12844510, 65752917], [25500242, 67305178], [84136371, 93321305], [19057602, 10130800], [12020402, 59656868], [90483748, 15874809], [90811522, 88928556], [36308451, 7852742], [86300642, 97386777], [10198462, 41980109], [70297708, 23907739], [27531093, 23868700], [69401848, 69282373], [75145924, 82894769], [73797842, 40193493], [78362015, 20926394], [55082361, 45083502], [64775179, 9802525], [41885974, 82285908], [51496416, 80138096], [62286361, 25917192], [37671474, 23207526], [20695846, 15385284], [61789362, 84885832], [47899092, 958940], [60745453, 51793195], [18478110, 48299670], [90171540, 19355619], [80217901, 71346864], [41320477, 642374], [37403469, 21058086], [11009180, 32307204], [74351256, 46091777], [9578932, 13982747], [69860698, 21402749], [53033098, 24257472], [61235309, 60112646], [97680545, 9615751], [65263401, 72246013], [93165305, 71720033], [55618947, 17695232], [53179208, 27988489], [19415147, 30855165], [31528779, 61391826], [98663765, 56750387], [55354689, 37727716], [68678469, 99330711], [56446753, 10531113], [72268327, 41085286], [68789943, 59605272], [50727876, 75370684], [49249586, 67344154], [9655405, 34541950], [97894283, 24112549], [86006335, 26642358], [29494827, 32073338], [6566117, 65814923], [51687877, 97881837], [15464083, 58475716], [27205990, 39647322], [60672026, 23164182], [10928808, 46392685], [68058369, 85945071], [18009059, 12943886], [55208246, 78370737], [91850641, 58549939], [66201286, 78179661], [90312421, 31085044], [48693824, 49168292], [30653741, 17109024], [46690600, 92760339], [61317955, 44031148], [67146350, 25938967], [98753582, 35729837], [22276732, 71388875], [45273949, 67731943], [59145379, 5329821], [66478073, 83587778], [44487098, 33699593], [13338074, 70204199], [45664064, 31255721], [97135434, 15783094], [95649468, 40372816], [88673402, 67647185], [16565113, 68089510], [13279154, 13207304], [86761095, 67773018], [8426053, 30073966], [61834381, 17786544], [39520265, 6355172], [66319842, 38739200], [20678499, 56111835], [68148691, 50376212], [16566500, 52582104], [31044107, 95320855], [41920299, 63618399], [91783465, 77206225], [44859128, 23796948], [74135516, 72982148], [87433075, 33714179], [6574960, 45297465], [41124877, 95427494], [85890018, 32208340], [3355733, 82639485], [52381541, 86453306], [77750224, 95047373], [7239941, 44284314], [65403450, 81058557], [91030527, 65703359], [27245637, 35833606], [26835635, 50465175], [69754248, 88429203], [29898650, 96002615], [87963276, 71429225], [85628303, 98335786], [33958547, 73760388], [54242582, 99632143], [40583876, 72094623], [45994403, 21883667], [46475437, 53125262], [35711083, 31030926], [79030842, 10779006], [41258986, 48685933], [84242854, 59668531], [97267110, 34014609], [18222173, 84422573], [66308261, 32074129], [5580120, 1447199], [2188281, 36785680], [99227826, 5191006], [82110302, 97340133], [10350347, 29565795], [88340904, 59158103], [56666158, 73931702], [43217782, 61018863], [72078164, 4886753], [23355037, 20947778], [86328265, 70997292], [32724467, 41342783], [68712492, 67815107], [39271895, 48256270], [50427369, 66611824], [31530091, 90905268], [26425456, 73296258], [43324606, 54844675], [12113843, 70299510], [2403507, 80669290], [67544833, 73857871], [36309924, 8507896], [53411387, 40916146], [80803952, 80618897], [35251681, 13296290], [76755784, 9914862], [31439017, 77256377], [94425402, 96558148], [30514270, 30725357], [79851530, 9328902], [64036973, 13325179], [70488825, 7398502], [34133941, 56457218], [24069258, 90321452], [64185913, 6545804], [77054439, 48058000], [95313954, 12305558], [1522182, 65974205], [40174446, 64257140], [33309673, 79534673], [9431570, 23478129], [62744208, 62203890], [19179321, 44021786], [6395714, 19021572], [97474668, 37225064], [16292690, 85013868], [35623603, 6161539], [75551608, 2114602], [82200617, 51441708], [84968092, 67307695], [86739865, 15183902], [14170353, 59354600], [21295633, 47049340], [87616540, 36889402], [86512601, 50410834], [14590945, 18267539], [97085232, 75383466], [5905543, 63614242], [52137103, 29717781], [63796180, 42287736], [1152717, 42994159], [31969436, 77193595], [53046132, 65332751], [99368476, 62463493], [27010142, 41621527], [42292714, 8754159], [58865982, 15818229], [82508839, 93265122], [54294034, 69250449], [46032660, 58541878], [40181357, 97100330], [77145932, 28477276], [22465578, 98371157], [20376553, 36471848], [70079055, 2168211], [23006130, 18845386], [18764755, 80483616], [78063228, 50124612], [85566846, 96315619], [86957609, 31124243], [53664684, 56803140], [94564079, 41542934], [48170917, 63893495], [26023972, 95423940], [51205876, 62867677], [57275337, 56625438], [39567288, 22312390], [13115092, 53121537], [41275907, 69779629], [99719086, 28576738], [35068138, 28903397], [84223379, 65437073], [98549353, 35298653], [71243647, 15888976], [97831251, 9853823], [90995985, 40553865], [84792414, 86157246], [74222627, 12709806], [74790143, 33525210], [75822698, 11734483], [36102274, 7447988], [16304965, 7186291], [5455036, 35249035], [81659195, 21491990], [91399465, 33975398], [65779846, 63846366], [27788384, 80490763], [88724620, 69720503], [45042960, 31136890], [42679622, 7679268], [6256574, 86839482], [94504244, 81533197], [48762476, 3707148], [74156950, 97379103], [2129903, 95370147], [82362444, 51264598], [17968218, 41544703], [52758388, 98139216], [33355104, 26120480], [22022013, 86824696], [19944775, 39891054], [10536780, 99476550], [50272135, 68362141], [94582779, 62693285], [21604845, 8784020], [6368273, 37414470], [39846305, 5565597], [20121053, 60341862], [42227381, 56512504], [77066116, 56338587], [99663306, 44170642], [60966253, 36740810], [37612816, 79880297], [49796668, 96302843], [75694748, 26050680], [88674274, 6109213], [13391871, 27510666], [59420517, 84974786], [72368199, 79351398], [38079669, 96967833], [46511581, 19298415], [67843795, 79480475], [27923948, 81309612], [72892378, 9460118], [62264371, 75263670], [2486048, 32404236], [68706252, 37641556], [65435373, 52395601], [14944038, 79141874], [59278652, 72543503], [8921197, 71514573], [87442743, 5088980], [74863908, 84090843], [98269628, 1196472], [73314994, 78539838], [39413375, 69801983], [52144070, 92277757], [13431549, 65976078], [93996926, 1690397], [81074612, 69023147], [35791696, 27550864], [21645069, 29590934], [32902294, 68707466], [75045485, 14920171], [87582324, 29042059], [99230985, 790498], [48852365, 32849321], [63371102, 18011000], [8700064, 82766678], [2710229, 99382585], [3267732, 57456784], [55748857, 58493902], [91742547, 78065045], [40978160, 31981671], [44118, 15277196], [7773062, 820484], [71103963, 52163067], [98192732, 64692951], [38809097, 84629091], [54169743, 78739499], [31211522, 57432202], [72788500, 21668033], [6354945, 79560034], [66221143, 84737730], [81840678, 11996159], [29797505, 11838109], [26104579, 970815], [82124176, 73803473], [27178206, 94643701], [15399266, 10009662], [46273667, 37499965], [62825673, 30916880], [3408734, 74390990], [82571147, 13008641], [85005516, 67415903], [37420715, 34759181], [55156091, 46122575], [94169233, 84114595], [61596868, 79030887], [94148186, 63160573], [65288887, 97803475], [23089963, 12281101], [92902315, 39725952], [73176997, 501177], [38390788, 34219009], [32609880, 45611940], [33866929, 47716643], [19314589, 55346401], [1832839, 70134220], [89145670, 77525659], [97254102, 5455267], [31508961, 16317765], [79812375, 66884572], [21516230, 81720656], [26423368, 4826930], [36165767, 71969590], [61985813, 31241666], [16317649, 34266965], [61184196, 51456556], [76818638, 71749496], [24749558, 92720576], [44012473, 5024127], [8348563, 77364729], [79323968, 11684125], [91344936, 30471787], [90313389, 17985738], [64660591, 66525630], [14551239, 6840558], [98355256, 36686818], [9784481, 50613222], [38179816, 91792068], [93845843, 21342757], [15389832, 96986958], [47566190, 64983209], [63643014, 57903003], [69117801, 3562321], [14077961, 85264510], [40688771, 97872664], [55741801, 8481566], [28320758, 22893653], [96668100, 73466628], [83527208, 48205399], [5294501, 91245075], [56712022, 90485842], [96798214, 92589573], [34278403, 17687232], [39393186, 38140029], [65334502, 42795423], [64885526, 2776815], [36261719, 86072225], [20881738, 82258356], [64578747, 85920687], [97801666, 72667869], [92028913, 62153855], [42395926, 28112956], [40653158, 67944765], [18383171, 52265775], [36204607, 39843298], [33180470, 26231096], [30276386, 77699277], [11907086, 73716034], [70884622, 40975538], [40952842, 29538325], [34196341, 70493126], [98047174, 6551018], [5655959, 18682666], [43632394, 49622518], [34308819, 57256841], [76312252, 70096468], [65121954, 70670935], [83941243, 60532753], [30941835, 9213563], [17948744, 7758521], [95488418, 90289828], [65844411, 55993161], [80038563, 1369353], [34793070, 67013761], [95850431, 15003650], [60980581, 37210438], [56109144, 86165106], [39233917, 67467968], [99580903, 9156409], [31042878, 52575772], [44690142, 58916465], [2148919, 21183737], [69619382, 19576045], [34297311, 4178917], [79409459, 11013176], [24339842, 93615755], [87621910, 50483656], [95987215, 44988523], [10589443, 44535608], [18618602, 22080492], [28379397, 99109251], [22409619, 3538174], [65098579, 86565180], [54807943, 32799719], [59202261, 66262656], [48950439, 62770164], [36424363, 7846647], [14223098, 27244483], [3853842, 89384771], [92048810, 35613051], [99972975, 95939462], [36410277, 7521136], [85988903, 71560796], [50485063, 80994770], [85343688, 36064742], [36627550, 10349753], [11900592, 85047587], [42416115, 59371272], [58006524, 58217066], [77903094, 80785983], [96751869, 80473634], [67539900, 41964810], [964700, 79735251], [48554609, 28800966], [70614327, 567332], [10540674, 19592780], [82137425, 14935551], [14459695, 63753358], [88801100, 93550277], [50976792, 20468453], [78524706, 87848007], [2352165, 11722063], [46309364, 41585066], [37551202, 27454603], [84181316, 94785148], [18834080, 17463268], [94393276, 51665885], [42943850, 57278690], [28010799, 93892629], [44547157, 96777949], [6587354, 53809697], [26500213, 97201730], [65086965, 4246107], [2288253, 96363041], [57453737, 33293087], [33658068, 35050683], [73135030, 86873288], [6452969, 43620323], [15008227, 40748988], [19443165, 31356258], [46906676, 45496232], [10137013, 97546954], [91208416, 90813584], [54066949, 30188117], [53412985, 46908726], [57183301, 37468900], [40041275, 39468779], [37411941, 46471739], [82548488, 30278594], [27262723, 66428849], [86424109, 17021702], [30744487, 92250155], [77182408, 67492847], [70095321, 46439104], [2931176, 95504072], [64822500, 18300446], [50282612, 65516902], [83169794, 42934650], [44089436, 12624230], [77210869, 84503819], [83093139, 26521475], [10483758, 49280637], [8302506, 90346681], [66846360, 14360961], [75839667, 63030212], [65561928, 96322073], [11962192, 77387048], [42705648, 69081701], [82185854, 91866395], [8838970, 48862904], [99608012, 81676030], [35652423, 74000864], [72098152, 22196061], [90141131, 45800947], [64396249, 83861121], [53252087, 25771130], [75088493, 4791785], [20409109, 17324888], [31725969, 9739353], [74507388, 14310895], [16957810, 39153610], [45279460, 79361498], [54792643, 31089102], [41830383, 70546060], [80937886, 54572917], [97570546, 85959636], [11607003, 49856429], [42599857, 79348781], [4748436, 29564474], [85845403, 1425195], [53946274, 47318715], [11285686, 60280194], [74779148, 33387008], [76064154, 43711240], [32850819, 53838637], [45926461, 22735054], [50294773, 90132667], [57123746, 70807858], [43964962, 37471375], [31390329, 2734917], [984004, 36785430], [33230375, 10828199], [90001689, 46142641], [1802165, 22296209], [14484331, 23268427], [3052831, 99712297], [36255380, 23118667], [67217128, 22055718], [2744968, 2624040], [40565079, 8851491], [17455883, 77916202], [51317426, 71889322], [87902611, 61885144], [81885470, 79216899], [92523065, 74137011], [6637789, 39565287], [88163878, 33905911], [90897294, 99905627], [64878277, 46758528], [92699165, 85345162], [62778489, 32548763], [376714, 27754403], [85769868, 98128825], [70921425, 19299350], [2819118, 8752392], [10692578, 99531212], [22809333, 93727364], [10743514, 25415236], [86934642, 6343041], [34109557, 66178892], [16036640, 22461812], [64794917, 72111284], [59653702, 24433045], [63109620, 6971824], [97458643, 83654095], [53716790, 63929896], [3138071, 64056350], [56691212, 27646662], [18756711, 20783754], [39377559, 99968371], [12464744, 89961839], [8912026, 38141905], [62184317, 39446393], [67428043, 45586363], [27866037, 22392941], [91330452, 5167583], [22771869, 32609780], [14467191, 6284289], [44827873, 83627350], [73699646, 53234246], [21606155, 34937912], [77377693, 49336767], [68103856, 74797546], [67812448, 88026123], [97940157, 82917745], [61772144, 29070330], [46099951, 6641447], [42019336, 41980250], [65932288, 78089200], [68058491, 58831760], [25722759, 56459199], [20067290, 39134525], [69985621, 69464347], [8923280, 75830405], [3540066, 649973], [3180131, 84331629], [39177289, 96104431], [25736679, 25903945], [45404511, 37538839], [13216758, 94858739], [62742402, 51401837], [19597686, 72115437], [5885945, 3702401], [89558335, 33839398], [51097237, 4665156], [10366979, 39769992], [99385222, 76018011], [20544277, 67580896], [989195, 89464082], [29086741, 87224415], [97274354, 91849594], [42175755, 21315556], [3475733, 96097313], [36606394, 25347327], [33227434, 37779606], [66568677, 12674577], [14271600, 22852982], [78004273, 25890346], [28646311, 91112462], [9662729, 80095575], [8675712, 57335763], [13009703, 75394340], [98925470, 23719004], [71935242, 11920060], [71698524, 80540923], [71255871, 80380992], [47043698, 27596326], [94684493, 24790451], [729571, 19120694], [13928106, 1453787], [48641756, 59679415], [51666820, 56116376], [25697392, 67582993], [57553149, 84667883], [66164660, 51594839], [77612133, 83751426], [47804073, 60423949], [48538742, 12026765], [63162470, 13942808], [23457691, 12979020], [90419201, 88468945], [3265217, 61226767], [40473600, 99265616], [10806480, 52947221], [70238674, 66215649], [2587358, 63910101], [34766581, 56683430], [86444805, 83109285], [22753450, 371360], [94056742, 73186960], [66832770, 80330532], [88782547, 95158253], [40881656, 85784867], [20874119, 69731781], [38553680, 27218278], [82758850, 45697443], [25059476, 94820934], [72399820, 21404596], [81226172, 686165], [99016696, 99351417], [74829318, 72162616], [10044104, 67744631], [19266737, 2539019], [59441570, 1785774], [92528737, 85474561], [11539230, 64929424], [62477147, 31183712], [2420358, 75690575], [2234706, 79212091], [70313477, 13882289], [11752007, 51688897], [30037940, 72388613], [95050724, 16885108], [25484442, 93514146], [70906362, 72016821], [47110118, 16839556], [78173163, 36385154], [74679136, 1828660], [60995108, 76442806], [76539156, 62442700], [87336548, 79228315], [56258782, 86046619], [1030050, 98444309], [51015335, 94935727], [55709535, 69963711], [96818881, 84506991], [30051576, 96354338], [28919321, 55999233], [26892072, 46235241], [88895051, 35220777], [36436221, 37056666], [83071851, 78678419], [35645633, 67934491], [11857608, 64587848], [39715369, 59057327], [46876973, 36952525], [94512621, 37047449], [93406984, 4468409], [65413735, 74921402], [34095823, 446277], [6846089, 20888854], [58216691, 50054488], [9520392, 10954038], [67731402, 12322628], [47186706, 41906355], [79137509, 70616716], [87996854, 87287013], [72063604, 7249533], [74131678, 97711935], [43534260, 29282302], [3247647, 89241695], [83847793, 35351009], [6986515, 2108306], [3211889, 1641429], [76118532, 8574823], [98525132, 17847053], [76014061, 48906646], [53325575, 15753917], [55581573, 27025733], [82222047, 64723125], [67577887, 27180399], [21376645, 7280923], [80412832, 32459315], [3714747, 66535482], [9804556, 63060654], [16114597, 20858658], [96114746, 36153334], [53833446, 50827550], [23745974, 9258359], [861846, 97484654], [72158941, 38376363], [15008572, 92453830], [95381474, 32793651], [13278754, 84412680], [89133468, 34011564], [79137955, 91499579], [27183183, 44280396], [26650964, 10874390], [24372675, 33040659], [31709219, 12287082], [37340222, 14988581], [69996464, 73095982], [47064325, 66209576], [57267551, 54167608], [85534659, 19372937], [73849564, 95093983], [92942374, 32669906], [51032524, 94632542], [90693833, 10713761], [29230625, 63644377], [29769276, 52582681], [13437363, 56654557], [31662205, 83771395], [27977406, 43487089], [52797772, 54231762], [99494397, 5166917], [8113513, 10795039], [41193915, 3234121], [784623, 4301916], [34584918, 98894415], [19945427, 97931819], [95128313, 95594672], [3041860, 90818178], [34940161, 64547233], [57161796, 13370769], [89827386, 25647227], [27281836, 11900212], [565327, 86914097], [29067560, 5306740], [15356629, 70352277], [29877167, 49670656], [58877822, 80828591], [38675860, 49136213], [40606180, 61589420], [49310951, 33494079], [59146215, 8950570], [2810355, 57743402], [62184211, 24841936], [89084158, 93510616], [71746602, 5777307], [76652147, 80980844], [73560604, 76485476], [9440830, 30099986], [15488522, 94641752], [48339208, 33510484], [26500226, 88830828], [22662714, 77109493], [88198656, 41740064], [79894131, 84161158], [25052393, 91014815], [80811963, 39592667], [29724672, 18652869], [48296650, 38228073], [74256728, 95048952], [21978318, 74442081], [46801879, 51911207], [2934836, 9042221], [48314627, 55487955], [14732149, 57926886], [70713264, 82848664], [76022426, 53592657], [49365170, 7830679], [17422867, 52550986], [38257778, 94084451], [4501513, 71104210], [71388307, 67611223], [82624782, 4580646], [82054935, 86356884], [23975020, 51373946], [72302703, 31876311], [10212402, 71539699], [75812015, 12110831], [46560914, 28863565], [48630548, 80982980], [4055667, 48635045], [95644856, 19369464], [5645777, 71713104], [75269149, 18938692], [48907376, 28362938], [49798240, 78494377], [19525973, 20647423], [7281376, 13889448], [87012254, 46975839], [89835616, 18151369], [25031444, 29595863], [62866207, 98279451], [36201403, 72476093], [27495398, 92505947], [23427885, 2172744], [88088234, 64149188], [13507375, 65665954], [43145085, 19813507], [6207205, 2671437], [73159963, 27885262], [84105793, 79173472], [45005847, 39146448], [40193069, 39607503], [25740489, 93351368], [6167009, 47532039], [4304158, 20905307], [62411017, 35335094], [67012395, 27629666], [88875894, 25681430], [65186676, 81130147], [21018696, 77621064], [58303261, 16024065], [79595623, 4933673], [65429676, 23730684], [93985943, 37562509], [21393350, 43711606], [595571, 91029695], [54783610, 56107772], [44957996, 93269878], [34376592, 52187633], [80787236, 602076], [25596653, 27305612], [83900659, 34859508], [98994780, 87366387], [36137600, 34728608], [30137924, 85047689], [60782617, 86203742], [90695690, 38481201], [15714437, 7192145], [62972438, 29301651], [89058454, 89413899], [38931786, 42720799], [62033127, 45300284], [98028092, 35895045], [78236812, 78109778], [87674110, 86356425], [72644367, 47864140], [14458167, 23769645], [3706066, 7196106], [95707170, 98444240], [66913558, 5053627], [1321218, 33831621], [18370595, 16171750], [11159911, 11973227], [41989123, 5159333], [71771904, 98631622], [10193222, 98842942], [65942582, 20024281], [7835640, 32551614], [51085866, 62639582], [29741941, 6330361], [67413393, 89509758], [24772678, 57012494], [39399197, 14690122], [26700647, 42301878], [80919548, 47159740], [398504, 83155302], [4045461, 94962905], [86628222, 68562582], [1911783, 42800117], [69748113, 91793623], [93069686, 34228367], [67542784, 47211507], [76284704, 14545709], [72530887, 27067148], [87686739, 43945334], [74722181, 91442143], [41976689, 30862536], [85896413, 85046709], [61805514, 71801386], [40944186, 44301928], [89525508, 59330427], [22918119, 26099702], [18082688, 29942931], [65657702, 53274795], [40850531, 98082255], [27820689, 90494508], [75866295, 37682400], [62419841, 22543335], [90669356, 70069552], [8189563, 80777097], [23104031, 20709597], [44130551, 12668409], [18286056, 11301967], [56444019, 53989773], [62697299, 13642384], [1502135, 42742870], [26540679, 11808867], [96917764, 84220128], [61592774, 36550488], [29858388, 74484990], [3919265, 62560232], [42767911, 81611435], [11896967, 60774688], [38075077, 90975541], [5394682, 7557763], [21641473, 25584491], [33775541, 31842260], [55633554, 58791365], [72914141, 9326173], [94776830, 971220], [84497492, 88098596], [97945906, 93387746], [34575735, 91902994], [12748230, 98697521], [80100652, 97860881], [67196623, 6443046], [20640670, 88395787], [23773965, 96159371], [29710159, 69056253], [86630680, 76397766], [97673280, 94432979], [56092507, 82313840], [60738238, 24185008], [34091129, 60431048], [60387388, 56146506], [71008239, 53538467], [90529542, 48593312], [87843602, 74091253], [32115811, 3538431], [21357323, 51462605], [19464846, 48085463], [60240476, 62274675], [4462435, 38702848], [24719328, 42043560], [22090061, 40671554], [16146005, 64260995], [31092162, 66125078], [27714209, 75004020], [21509968, 56357041], [57150298, 18011944], [15241593, 69928374], [76236703, 64880485], [55747077, 63279962], [5975934, 44354741], [32439989, 83547273], [51375272, 42394765], [97297629, 14434248], [52208227, 40460808], [64251946, 32776845], [27363262, 28285205], [70757725, 39036881], [33897558, 69150519], [52944102, 55488241], [56960260, 1254453], [81799910, 85270044], [91495803, 10984229], [92161953, 85747156], [20378262, 14077798], [37511604, 6786850], [85379518, 34077435], [58534766, 76674894], [72347550, 93546090], [67212006, 14301262], [84473596, 57746125], [9582550, 26679464], [19210137, 76123335], [94553253, 78701223], [15311286, 30283646], [999587, 54410367], [36689147, 48361409], [48273078, 49723883], [42710988, 31809093], [92572843, 33095101], [96096548, 33631744], [16701945, 7318009], [58379559, 40956622], [69868606, 71399122], [58121712, 77038394], [77878320, 51772703], [78398751, 61013985], [3954331, 10606954], [85284443, 22439092], [26005773, 77470004], [92585315, 10716997], [67144571, 90281175], [15671009, 83484709], [40468878, 40172031], [46676151, 15404143], [58686989, 50611182], [9451941, 7318369], [30420431, 8829027], [49800256, 23592060], [47038978, 57616472], [95540060, 19969723], [67678583, 60054516], [13122681, 36765085], [3008690, 84430251], [35744538, 42034147], [77953524, 76613146], [36032716, 55641794], [15238010, 90776347], [26685124, 1137834], [17127382, 33541066], [63652583, 77714529], [7286908, 43961461], [2562672, 54651828], [69097939, 97507602], [10356080, 82759559], [7971747, 63850527], [11818898, 88458248], [75052837, 77103543], [79812886, 58406351], [88665536, 57853413], [33636125, 6550638], [66558848, 20929586], [90622934, 55071359], [54796824, 49631087], [78882391, 37092345], [14287378, 5712738], [91797578, 75106265], [61300378, 38024463], [82850292, 82680813], [27902538, 37911697], [47303864, 63870986], [54376306, 95698629], [29638337, 51247646], [40526337, 18500222], [62435825, 13360085], [3657623, 21436159], [64370922, 1401639], [11821358, 71033151], [39099841, 48322699], [49688575, 56584726], [82786843, 46617111], [24262534, 12883101], [10674548, 30993356], [55273497, 30139355], [41729950, 29874692], [19177029, 35107188], [37200804, 45889109], [61689868, 27991585], [47139572, 49453570], [44035811, 48118321], [32521559, 3772995], [93015105, 87263015], [93957594, 24563291], [54641084, 11026568], [26204118, 41220712], [64360637, 68830229], [24528660, 11041315], [60464160, 33297157], [91663822, 71666117], [16781570, 90481242], [60683717, 57422785], [53808043, 13723819], [57945733, 75151727], [31391972, 86612466], [51572322, 46630276], [98682876, 45054485], [71597686, 68167255], [3582515, 6406932], [83000694, 9785327], [6131579, 82023221], [44915485, 60072746], [63336866, 6253479], [89382131, 34505013], [67365462, 46536631], [63765637, 20370631], [17752104, 34025845], [38537521, 6021233], [135729, 18749575], [47422296, 79439213], [54517469, 57936433], [78423863, 63649350], [22366338, 58864194], [72136456, 2579129], [71260053, 51877119], [4138649, 28111215], [48468789, 98558626], [46386787, 80938819], [54290636, 11757977], [78196668, 60127296], [57574248, 98902863], [2169770, 79109415], [34566750, 10786651], [55583429, 48683807], [1769181, 62813157], [79887692, 26221063], [99312320, 16249836], [24415119, 56241326], [90363814, 50994752], [38905395, 8495677], [53463, 18613431], [59817792, 32084721], [80815940, 24603206], [24136661, 46844096], [18826828, 98934990], [54584993, 34584010], [3064252, 35060496], [80817178, 4926931], [61079342, 26220491], [52822614, 35117435], [11813322, 29334423], [41509488, 93892734], [8536792, 29282194], [32338900, 22475631], [15061748, 48118475], [28103675, 90218399], [46914032, 92528946], [57895460, 4648018], [33131430, 72850057], [67103285, 40075226], [53915459, 37108861], [71414334, 15447268], [45411279, 84584713], [82480024, 36459908], [49360624, 18871347], [3838894, 60319450], [73456151, 10204529], [40139357, 30736971], [62840767, 64984572], [30493318, 75202415], [3706084, 93192218], [14354882, 21595298], [56279408, 80787765], [5891654, 39398283], [54039726, 36843534], [40441805, 99299656], [36086700, 73658986], [22213639, 88793278], [47595974, 19958281], [51195099, 37194333], [2830379, 11824802], [33732370, 83416357], [366838, 55682116], [55878152, 80244634], [75319308, 87395179], [25578668, 71586800], [65222383, 90203693], [70169660, 61213642], [98585542, 36216442], [63284700, 32784035], [50234248, 97953173], [30027922, 17944094], [39547025, 43983539], [12309179, 26064534], [30215825, 21666057], [44855855, 65450514], [32116148, 59930201], [27593120, 21884062], [36756145, 56125511], [70273390, 89597102], [3735685, 66762103], [55925831, 70073528], [36396704, 13734181], [64379860, 73128955], [19290842, 14289865], [75332716, 99051272], [28869708, 76598072], [63308880, 23124508], [1596557, 88599748], [71204695, 65908036], [2595463, 22097973], [60337191, 90291238], [15966321, 31062437], [64664170, 72149052], [10606561, 81619614], [50619318, 68452459], [58451807, 74329800], [31799937, 38408432], [71238286, 11156339], [61779955, 97018435], [17678000, 96391432], [53465383, 45238986], [49967598, 73085583], [77649830, 603885], [97636968, 83532614], [44602255, 53399931], [87397876, 24331313], [6294749, 7869379], [47719965, 33492424], [6129806, 83636993], [84914271, 15066975], [25807400, 42265], [11116169, 11314268], [63659326, 22494895], [42723113, 824965], [16149708, 43243329], [11059455, 89144093], [18675134, 37682634], [86386409, 13531806], [63961658, 81352422], [27306499, 30625368], [64315161, 23092883], [31273151, 12233336], [67048866, 9500873], [17182177, 10479117], [57337977, 83134825], [73438109, 23991399], [85148772, 28670225], [73507976, 41142857], [39664342, 43521650], [91034379, 39302150], [66780319, 4524257], [32985372, 99385456], [44022994, 52148967], [97471824, 96520102], [72637801, 47959745], [15022149, 83587955], [49285388, 85898828], [35628378, 51213956], [3192691, 36961740], [81505795, 66287935], [79298198, 71343894], [61387882, 9669818], [55148550, 85227578], [6803349, 4194315], [19217368, 1173999], [41266143, 92734656], [88143363, 29087756], [99842627, 90358590], [72196117, 61156028], [8199591, 4190687], [97388514, 81046025], [56245810, 79559140], [72735622, 43117219], [94825647, 2346989], [75998810, 49958890], [63042030, 39137915], [10062015, 90756877], [69839144, 87204990], [90515198, 4693844], [45757425, 27325643], [52126575, 47841456], [53533366, 83369272], [76081493, 20291738], [64685759, 42218151], [12186793, 44774577], [46066990, 24884940], [2154873, 77420068], [62257385, 39677124], [48904051, 58234324], [48735194, 10565909], [57475728, 26894560], [38067542, 46124896], [66438349, 1854209], [22401235, 73282796], [79392905, 66735470], [33939433, 2412952], [26456933, 60126706], [10832997, 55806497], [13531485, 15127807], [70909444, 95088585], [82065258, 37946154], [23004615, 56019554], [14144169, 50285589], [11104745, 46901323], [75542423, 31842097], [20264113, 56781565], [5498666, 94177986], [41087116, 65021473], [48984977, 22629545], [53108819, 67935125], [76160114, 99966454], [22999062, 89563107], [53125615, 87697221], [82197883, 47626077], [82970545, 22176374], [77373442, 83377895], [37844492, 40419809], [51050751, 40976563], [90361376, 13837747], [18519017, 18006930], [86238349, 77241074], [36084346, 3145561], [28251307, 36227656], [52517253, 20149246], [52386740, 17246053], [13299019, 14769681], [41150284, 99689136], [78057000, 30655527], [83937009, 56895237], [97578662, 81355230], [3727270, 60546234], [49116196, 78023518], [66927919, 93212215], [96273196, 34678608], [72198431, 15988461], [27685473, 59765128], [77474335, 74308793], [66161052, 68682579], [54592323, 89941624], [35118071, 8132597], [60925029, 70470075], [5476340, 71359167], [86757141, 22894247], [41846470, 91485775], [47268957, 11967300], [56679729, 86766643], [13689901, 2578417], [41413753, 66445321], [84947225, 76659815], [57546944, 83965180], [23948196, 22720822], [92996702, 94696124], [23948353, 15967792], [82670645, 53258205], [93702370, 80503659], [54633670, 95670308], [11788500, 67022339], [93548335, 10550907], [65839731, 46391961], [86045756, 13511099], [35164049, 64507614], [7147768, 90364002], [5080020, 32514891], [67475286, 60589791], [13450629, 17894819], [54168989, 68062548], [18592286, 93454094], [32702987, 73412998], [38394196, 94451046], [59269405, 15537451], [62622506, 50056189], [43900757, 27958824], [50259161, 31467694], [4819514, 36653135], [55084506, 86951746], [79306318, 69635664], [18799703, 30821545], [38702989, 34597664], [22294562, 6157539], [94358604, 35080838], [37978570, 87818909], [26671557, 99725120], [9805578, 53957265], [34929918, 66703237], [15519663, 87389283], [93896358, 74676076], [70792941, 75039180], [86785140, 62918173], [50592975, 81310775], [66118241, 19545813], [81852316, 52447311], [68206083, 66854885], [40455958, 38208685], [84081748, 84322057], [20395566, 79010558], [11830822, 85302262], [95351819, 29654181], [61313257, 52648844], [60926413, 55189453], [15221312, 43795952], [60529778, 89290004], [27584380, 67717126], [14769093, 87201910], [58689468, 82323930], [63330178, 35636969], [68301430, 92536211], [39663816, 65615756], [76825822, 67040673], [74364173, 75532816], [86966391, 52798067], [12994768, 84629425], [74764344, 85243062], [72225227, 1972862], [86074287, 10332035], [73606557, 17230594], [73306561, 49937200], [44081616, 28916507], [39919537, 13706101], [89192927, 17803341], [18324607, 14370061], [900466, 36367147], [23612103, 92425218], [21193320, 41903859], [63859214, 49030880], [23981461, 88698955], [99300299, 94852950], [82508254, 48066575], [63523109, 33328017], [89022641, 40274299], [87912291, 4268839], [34884074, 25858637], [79026591, 8888806], [10793998, 79487494], [81410210, 28852772], [77450762, 79558943], [64561766, 10303944], [709201, 9812870], [42266408, 23669797], [40076354, 60013142], [1704512, 50126496], [35345681, 14480198], [76499966, 32141479], [72651400, 72476433], [73821210, 85288522], [63184860, 8445326], [86926232, 66705688], [62899384, 27049378], [77843070, 59269477], [43662378, 39243081], [42195868, 68371522], [34247512, 55082535], [76409600, 78543772], [77760495, 96223497], [54415172, 37251445], [86345310, 348241], [89886193, 3187321], [86303807, 51971780], [46405097, 4645014], [44436724, 87669421], [44650470, 2447870], [37862459, 48864779], [25600260, 14797448], [54764595, 57050045], [76285842, 44911112], [23629174, 86529728], [91095404, 61940542], [9402237, 42822505], [3146510, 8865960], [94218106, 79443255], [67611420, 36519914], [82033221, 34801305], [22290589, 4628420], [20002971, 48757013], [43034399, 55072247], [77874387, 68349713], [69408495, 76216788], [52942965, 68895865], [33813294, 65840670], [53140244, 99762870], [95666346, 32102570], [53666966, 35747113], [24787511, 18366673], [25039550, 93436929], [97625702, 62069211], [24165658, 38628402], [55376099, 51954998], [10664826, 4928717], [12287379, 81111177], [79525918, 89253251], [93595946, 6621652], [11803996, 75030974], [6062093, 57543814], [35493903, 55279967], [75509664, 34143064], [96096034, 7367637], [73590134, 45465432], [61608601, 14958533], [13069969, 38534354], [80045226, 12866033], [92703294, 12499037], [51583976, 70276114], [8178268, 50981198], [51755983, 55323744], [53051487, 37923363], [78911015, 63566524], [37061574, 96073107], [89710511, 64446905], [39101676, 51089862], [71472141, 95899843], [8412104, 84586726], [39996845, 74472850], [17068559, 37292728], [59787492, 27845003], [80567262, 68937584], [14171890, 29614983], [19133086, 18090604], [8103679, 41454412], [47273134, 35743270], [16075138, 91999505], [45529584, 96457034], [69664148, 28101378], [23344903, 66369571], [68160412, 23180184], [36876349, 75718713], [9801487, 36631482], [96875051, 12536901], [61666480, 53868229], [30146051, 68909661], [81377464, 65101882], [95391966, 43630706], [14157320, 40506906], [7655418, 36280738], [12527369, 2053523], [32133806, 27256906], [34847735, 59678168], [39947529, 51076725], [54146017, 7664558], [5558523, 77282409], [54560061, 70067613], [33869333, 4667136], [23347893, 2899694], [35358612, 19450384], [57930406, 49097295], [71743482, 76552765], [29587908, 32501248], [92006810, 10373754], [65288595, 51980918], [86311579, 8009922], [74753, 7042724], [20942327, 43354557], [43488102, 24768235], [73023904, 22123960], [43160309, 42317660], [60327609, 94068438], [70137772, 80872742], [18231409, 49508840], [90101959, 41780025], [17369590, 23337478], [22289990, 56236944], [96448538, 29101164], [82864292, 65425644], [58837827, 58106971], [77226910, 48947004], [72463969, 34740261], [48473662, 81025950], [92825382, 48859254], [62765613, 83711720], [3140939, 98292481], [10198718, 94472509], [72501303, 29029614], [99632816, 57596478], [53189061, 49574828], [43261355, 42797819], [6720681, 77672753], [3613569, 94850592], [34028745, 50360415], [98830407, 41803571], [1324898, 23437784], [6466295, 58719690], [36637341, 71462589], [49753196, 83732543], [54757438, 68555371], [65661836, 85713055], [55746112, 7961147], [21071992, 53080701], [16961777, 76732415], [31943007, 99327348], [68627314, 96519151], [26065955, 86435795], [96663587, 84556160], [30849060, 22741411], [19250463, 8142691], [36268089, 23485467], [45567864, 59985939], [95670035, 37421665], [35235828, 74986753], [13659676, 96199133], [75535499, 98763480], [49218495, 90973102], [4604461, 22943039], [64668277, 6500440], [87103074, 76686278], [33654316, 9210991], [57092432, 5686621], [47751401, 58889040], [88870371, 12291247], [48216081, 95559691], [397099, 86938589], [39007098, 95396350], [98857603, 45207361], [46895973, 97998700], [12414855, 12092966], [39570306, 10196510], [56305564, 33964365], [57251768, 72008], [68455394, 46061428], [21046141, 38783018], [65581802, 46147319], [25453257, 23383989], [74620782, 28909919], [19809757, 19406316], [68953938, 91668234], [21857160, 50763638], [81973625, 1735301], [89009455, 65284566], [44903854, 19332584], [11172592, 24240199], [73405953, 185082], [58104585, 79138542], [29820929, 16875920], [18447360, 80560818], [28648522, 90539995], [11258637, 3774320], [71521895, 51332261], [76519790, 23843208], [58741474, 2650191], [60303781, 90870255], [82934085, 56319666], [18779111, 93994083], [92932784, 8957543], [53518565, 58313000], [19626266, 29254889], [4814090, 85545690], [13215957, 17761310], [72390717, 80078945], [94389452, 33066342], [84575751, 78686679], [23587365, 96832161], [29283327, 52392785], [25409597, 62268870], [72045449, 77133406], [21767572, 78918045], [69351493, 29288355], [46696680, 48685795], [82330639, 86587763], [1837297, 87786547], [6452389, 91629734], [6179665, 16412555], [595323, 18107579], [61324752, 64020361], [92425879, 31451068], [29758081, 52883198], [85308907, 52983052], [88636500, 44932662], [85037305, 77023417], [39943828, 62396093], [61465770, 53602029], [37062275, 28003335], [53607492, 44192248], [46100711, 83906890], [84728118, 6670995], [13026913, 9264562], [3704102, 18617366], [80248606, 55127181], [37425351, 94765524], [21740554, 66002594], [51903367, 66854441], [27282593, 17413172], [50992107, 33482572], [17776672, 6207482], [40506380, 39880280], [97624806, 80651939], [94785297, 290106], [31520538, 29995936], [54546912, 90216647], [57363338, 19386545], [83669555, 72312019], [44940610, 67857998], [54670829, 92473829], [25625593, 23833056], [34785960, 67991036], [83383815, 28841723], [67143812, 13363227], [50271270, 13686251], [92579291, 69102553], [41134036, 13751803], [77617064, 23085331], [55899556, 76311194], [53529594, 97302200], [19307153, 52955887], [75803800, 10591405], [52594411, 52416219], [17079309, 23331909], [14019615, 74670301], [9126693, 76690628], [26295650, 43745908], [76833027, 72607128], [65000828, 112584], [89086897, 79304294], [57987062, 13840008], [88423534, 78149879], [53111415, 83210223], [37672850, 64429660], [49785285, 97836792], [64322460, 86928327], [45846447, 57214483], [66045360, 92551505], [99261406, 55825631], [60510212, 48658474], [97854654, 65118590], [63815043, 37819686], [83711527, 33620528], [72458347, 68644361], [34827699, 97567510], [50378880, 46587319], [7287099, 1549422], [84394839, 92458018], [49914740, 35833212], [50819770, 64090359], [22842931, 2118227], [36010844, 12385902], [80181397, 88051091], [94613528, 85434414], [54828056, 23588631], [59690654, 82876058], [26139932, 4478357], [12563116, 54952542], [9263747, 36803185], [43681614, 69158045], [2641330, 97866904], [55007003, 6037050], [27260497, 8104282], [89386988, 38116580], [83625972, 37843974], [77567522, 41329283], [32355851, 38421003], [35034482, 58904772], [53479527, 31340158], [70024888, 14797986], [76997093, 56525295], [26625634, 79365591], [96527213, 68534232], [13519313, 73377271], [42215108, 47556913], [94995457, 45316820], [19387904, 8498568], [7763847, 4110244], [95511709, 82941781], [3186583, 21182033], [9094211, 18840836], [92569326, 48414137], [17662060, 93037166], [71178970, 46233277], [36413138, 29591138], [16042956, 32119844], [72942846, 97381910], [62278181, 63370630], [94290537, 1760202], [63819634, 31697578], [13761933, 46344891], [65732733, 82136779], [46204476, 94890432], [79749239, 98164147], [83474196, 74261295], [66699414, 75211049], [2836627, 21282519], [62791222, 58455561], [86527473, 40888119], [92051140, 53448182], [27260147, 59142939], [88282342, 80726330], [29467109, 29264862], [78167864, 97071936], [35708140, 7300226], [19947868, 41296690], [3531466, 41150996], [63012953, 41789348], [28263038, 90837145], [75192632, 10936733], [32121603, 36571658], [66979349, 26130462], [89664171, 91357707], [71917139, 23095729], [77388248, 53494240], [29717082, 94468308], [91562834, 85591353], [32159252, 65524192], [61256181, 86764782], [50269289, 46207077], [63752736, 72319483], [6609765, 37507549], [67039084, 40220947], [9546901, 45890503], [6337447, 246542], [53698066, 91957031], [92761272, 23004981], [85311215, 22723524], [67288984, 41885882], [5522468, 80343981], [50500428, 25600626], [68204846, 9182399], [93889147, 62066332], [41227620, 96105411], [65816830, 865488], [65245477, 69350916], [34104519, 26994988], [82563993, 82832235], [1914958, 63207710], [4561929, 27374083], [43963402, 64121626], [59627927, 26144795], [94990179, 725320], [3806845, 60928652], [48317801, 48359420], [83072138, 90574836], [40713066, 78633879], [79524712, 73915110], [37139825, 12635460], [35237905, 10400734], [68453936, 37141345], [12987890, 22587540], [75390962, 99480134], [27649853, 56514862], [34968129, 72249833], [376554, 18931898], [18095706, 44206674], [94058378, 98904592], [5032327, 38664301], [17683930, 11536649], [62920433, 47084667], [98021394, 29615371], [82848602, 18781002], [58718522, 53517835], [34027643, 7856629], [55184248, 1545819], [8692353, 32876519], [35883999, 14259834], [74098110, 57372234], [76050545, 57705711], [75950829, 12479240], [13761699, 7676149], [35768638, 35706170], [11105912, 73510788], [68946082, 36648356], [6718351, 58671614], [8283558, 20189188], [23718663, 28909109], [13653659, 43300238], [51300995, 56652848], [54611042, 65877427], [52448416, 2834789], [22882450, 4222459], [32314217, 36912448], [42810264, 55258009], [5071889, 52722917], [30559148, 93518292], [56836920, 99477687], [93659185, 6885119], [66150485, 43443921], [55912161, 26791414], [26703646, 12440705], [57399528, 8471222], [185488, 30928895], [84578562, 2364192], [78691632, 64571355], [21879980, 46387214], [64146177, 75317061], [46011098, 2317929], [43877846, 5479626], [96003079, 67033906], [7137599, 37695957], [17589084, 74196606], [38116318, 11648495], [99133890, 19445402], [49127659, 64307842], [82990527, 32634570], [3659052, 64553604], [15421844, 77778079], [35816456, 77584149], [99203181, 10219749], [94766464, 3111288], [88563096, 28859810], [84321147, 61927684], [96388177, 13020451], [78847034, 43333101], [12973393, 27455538], [35560511, 11427044], [19715015, 32592040], [10271095, 11951396], [49732136, 53651077], [68021210, 44300122], [40294960, 16464887], [45174064, 58923767], [18100745, 28138351], [65016936, 71834502], [27845397, 9556853], [94564245, 20789935], [47652130, 34409328], [84547527, 17891117], [59914507, 46150567], [1791518, 24770132], [10609138, 57998864], [58057662, 84859536], [37024825, 73136561], [97524226, 1038090], [31149399, 52297777], [99235983, 91656833], [80504462, 59728126], [73122679, 89924328], [73910899, 22026021], [88139736, 38763125], [47402505, 67568737], [24779682, 86841824], [88260414, 2846060], [47474768, 74715006], [67425174, 37593106], [12278699, 49610853], [25398376, 78630350], [34007856, 63745676], [56849267, 79447866], [19203352, 73259076], [3428241, 26350990], [33681768, 83178084], [61388700, 26120852], [71617005, 91584111], [30773652, 83786140], [14283148, 38753427], [19242521, 89530624], [79644117, 38366612], [71079366, 24319957], [82114874, 91956907], [78110926, 3476297], [43215464, 41218523], [80911753, 67504658], [13157007, 5442626], [51892376, 33714420], [87106310, 64076341], [15901123, 26034660], [94695003, 90439325], [22957350, 34522049], [8507829, 33986744], [10537571, 73678935], [93447115, 86710147], [65455195, 83374418], [18425122, 901188], [33740489, 66358848], [87117993, 32850425], [40107463, 11326395], [1690907, 27978337], [87338754, 87746398], [31611406, 15239003], [84962674, 88421724], [15538960, 62092630], [43413360, 53505217], [73643330, 93254406], [32641857, 43556016], [33227175, 93649303], [85947354, 57409442], [9825329, 23850140], [94135439, 20462555], [70153683, 39155079], [22959480, 21649505], [7928550, 53520916], [32163500, 86284905], [50091823, 70217448], [32700377, 5550738], [82536437, 81192720], [38909304, 46857211], [67877246, 85535096], [19814855, 34408175], [7378925, 28068090], [74173486, 56264000], [43022945, 82499312], [7676593, 80816573], [10197666, 42009516], [5804241, 70775133], [79323940, 66474784], [6057620, 31091446], [15746371, 60550850], [71982871, 36814044], [70852690, 69564060], [21859, 94541750], [42391692, 38905899], [91556407, 23440845], [23347391, 93248189], [74146641, 1275365], [94028003, 81243370], [8212694, 72009220], [61702092, 75666750], [29418183, 17803316], [71263620, 97713303], [35497599, 33915597], [77823858, 61712616], [50165919, 62797887], [16996344, 16722443], [456299, 43417423], [88681696, 23956517], [81605257, 36149401], [22437076, 87049231], [84945902, 39126503], [33884695, 41344549], [1338544, 30776163], [5326497, 30871287], [82923263, 9918583], [39145569, 22880510], [46153847, 50806717], [25858382, 1732071], [36143931, 91301155], [17770114, 17707625], [86057896, 47085714], [80178408, 27712152], [53678049, 44736720], [30889987, 39915909], [9808985, 74809580], [30841667, 52744701], [20333072, 57786009], [21116856, 94815588], [49638663, 229550], [14412819, 34827946], [19427534, 54653860], [31183375, 69798879], [97921012, 29114812], [69984626, 68892929], [57683664, 13146749], [15057281, 71005431], [47187635, 96854025], [5943930, 4055347], [49339756, 92812958], [87111599, 84242587], [13897374, 6030481], [4019262, 41940825], [59650179, 38488240], [46897003, 96002140], [85736117, 56980088], [1541745, 55372717], [10698135, 78116144], [55895686, 96657287], [38615342, 87908606], [60786130, 56080996], [60795923, 69216461], [63220247, 77791083], [40430055, 26511100], [75977724, 27313829], [52359286, 74712078], [15128713, 11802139], [97649721, 62671377], [52550926, 45242992], [63181275, 92251860], [76061817, 68429090], [35588673, 41182508], [71086535, 25006618], [30023828, 28850047], [71131361, 26485775], [2991515, 8057677], [84562987, 20774123], [54289319, 51641771], [66628379, 13134560], [85947338, 45714562], [36139223, 50685262], [46943765, 12671173], [84846114, 7194675], [30777557, 32606063], [58172407, 58694183], [28289644, 70612232], [23222463, 52235885], [2089386, 3882034], [40273996, 80598881], [30665580, 84214824], [93818049, 22096549], [37449501, 32831253], [68411326, 13292174], [56424971, 64520810], [17660641, 82847269], [32835612, 43050785], [77458106, 97252660], [20729491, 87235403], [6095363, 91628986], [56909497, 75854295], [16186383, 97567884], [523619, 41675783], [88442948, 68891868], [73365575, 85779136], [38830926, 13495691], [63033169, 93803965], [72052793, 60913843], [22822793, 81268181], [16881310, 78701963], [26726247, 94081579], [83262161, 72039881], [88171362, 54484197], [5102170, 40310801], [93162056, 36310860], [71868452, 25141320], [217341, 43316499], [56776785, 8406056], [90011488, 69456866], [12215516, 21683829], [94034144, 25243060], [77671846, 27526674], [84081240, 39627233], [42718156, 42430204], [28560185, 38908731], [32678454, 83449892], [79005231, 26413329], [54619087, 65157798], [31112602, 29770631], [89975627, 58046309], [63659508, 6596082], [83878953, 1206011], [72851155, 78066681], [64314260, 20422718], [4068513, 26490581], [52543413, 9946242], [72968812, 23808391], [93467956, 40543293], [35346135, 30083118], [61344275, 90516241], [73702385, 25969555], [44796055, 45494932], [72123968, 63649439], [2613110, 97220921], [56299111, 76278863], [33781894, 60613263], [32106171, 30145420], [7090620, 13843811], [95964967, 79491774], [65559277, 72485787], [73201095, 16519257], [56457960, 9768362], [12583261, 14650403], [78243467, 15974735], [84278090, 55085343], [921888, 55565988], [77032556, 17102536], [68436294, 43108310], [1952251, 131876], [76706444, 24876886], [3348781, 79792271], [34693490, 66267432], [50148558, 12302660], [68681232, 85998961], [5240306, 75311371], [39709327, 93652765], [36012016, 17331796], [44481493, 7486794], [27137866, 18148124], [99505636, 35342514], [82446147, 70320772], [20531377, 89365764], [15452912, 81070208], [22138532, 89089791], [68476354, 46362722], [24353285, 28806596], [16387916, 7116869], [58374005, 24377873], [16203993, 40541649], [9584140, 47469660], [26313979, 20424335], [29045863, 40509041], [5660667, 58353120], [7404214, 48529725], [36631484, 66797668], [91275203, 36993040], [29782942, 5914248], [37830841, 58964130], [7749793, 97073101], [1920498, 6946715], [16811047, 10449924], [28201876, 35483430], [8875695, 6804388], [84456997, 28974422], [83514724, 86094361], [41155638, 38561193], [68917780, 43059810], [99635004, 61906685], [3354238, 95973386], [38180035, 74977], [68987613, 14042777], [19918223, 17363209], [59126016, 34838817], [53669311, 80529978], [61794948, 24954482], [79664474, 88010004], [80538683, 93579429], [27352844, 5016303], [58398036, 28089802], [54058736, 29312555], [63437598, 51447133], [36694716, 18134012], [28873888, 86230259], [50042118, 59768565], [23111391, 20447502], [16236523, 31361507], [15332555, 6544577], [65980946, 26879708], [72935923, 62766796], [92873302, 82531131], [90357385, 68438497], [19276762, 68080466], [82062608, 72360331], [93543326, 29293750], [59119661, 37505705], [41881028, 60279380], [39074630, 25074833], [76692707, 16025561], [18056820, 43845415], [50832076, 768247], [42227881, 41979426], [60599493, 82036961], [50655341, 90766527], [38563571, 48780445], [26702980, 93462606], [80624874, 24251732], [86380128, 58604978], [2395213, 93008601], [42975624, 39868000], [88816847, 65409908], [70841411, 48417678], [44690273, 35900113], [29700347, 59108261], [75354902, 21341412], [82373266, 37695968], [34444069, 5233668], [87412743, 60203921], [25893534, 84844057], [54278142, 72884231], [41742840, 35346566], [70847833, 91175449], [62703172, 24563741], [20999501, 34005456], [7637354, 70147667], [67568493, 70638919], [2355612, 65264288], [31894030, 26992913], [81844272, 63383632], [57712345, 32815902], [4396830, 42688688], [53791238, 26735780], [82233948, 90906744], [51688859, 25111856], [71603692, 16999132], [61320225, 5808198], [51656059, 67460938], [28414525, 31456752], [93583302, 2205149], [27282759, 43169753], [38493602, 11814607], [66725853, 58960426], [43122549, 49312965], [90068993, 83498397], [31401580, 3632802], [60142162, 98991135], [22573925, 72896256], [84165466, 98583783], [64552269, 10273914], [84579838, 86674218], [29641280, 14708770], [43938246, 79836270], [16994733, 80150479], [43113467, 85842082], [4766285, 57514450], [55507764, 15390690], [56132012, 91559189], [38149330, 14292405], [88438150, 65905754], [17967674, 76782172], [68729230, 88389374], [77257136, 89580791], [86422138, 37777032], [15818976, 84169523], [63425287, 21041349], [57017807, 23663850], [69630354, 2981835], [47336067, 60716646], [4386572, 59904527], [56432311, 78736046], [54429676, 12699910], [83915723, 5699172], [21001011, 81873999], [46292498, 80966481], [73695350, 60182785], [74888646, 50266062], [14891083, 29189420], [88658212, 9719521], [58826106, 13281219], [70851379, 9891283], [80935857, 95794468], [80522605, 71451877], [63302306, 27557088], [98546033, 17743065], [18773709, 68310597], [83453380, 41414782], [8666142, 85386246], [35502132, 59635544], [23453095, 41519440], [52509040, 87780294], [10268562, 17120903], [645675, 28553124], [13069254, 49713115], [46709385, 78278679], [31245850, 50149837], [46954215, 61491469], [52596156, 97281027], [74551502, 51963825], [51147108, 35871636], [46652884, 59344764], [71710824, 87519702], [64568893, 93244105], [14657893, 97664633], [50257699, 66034223], [45754301, 16263925], [24579303, 15309722], [94060769, 72372950], [87070038, 11999560], [42606186, 90498317], [89120998, 76217943], [10106874, 86988582], [71056231, 30974372], [59111137, 63258096], [52929328, 5681342], [62906331, 92397722], [1107613, 80538952], [89284798, 88736113], [46719097, 52203037], [47166112, 21137469], [21406067, 13950173], [54218523, 14690715], [39300524, 44820527], [78967599, 29498451], [44658358, 26607364], [3667471, 24206011], [36744477, 93578945], [75487783, 37830423], [80425329, 16394482], [4181272, 1565246], [22479288, 30311848], [54048224, 92559555], [8390086, 62109787], [56116074, 92146072], [84457942, 73088378], [20778215, 78613271], [44570332, 41316676], [42322380, 90900363], [82942548, 58160800], [66755017, 9794300], [26453708, 85920185], [29834145, 83791238], [24377651, 61437816], [38009154, 95533254], [31264964, 23153401], [58629547, 63696566], [32819534, 45402628], [15507291, 66560326], [27529558, 41457017], [75309824, 43939758], [85290490, 27947415], [214945, 48490317], [31603563, 18606313], [85540308, 55690652], [43002553, 69213366], [18721517, 26345044], [80724908, 10867569], [17492050, 76360125], [13804818, 4859200], [71865961, 44744234], [73227908, 47524100], [83131056, 11419999], [39402210, 74495930], [99858104, 84715650], [79158327, 51925510], [94816148, 89777092], [84712225, 3942788], [28396361, 6420152], [53555592, 44278197], [36727847, 3673209], [35985753, 1881793], [7350603, 45088869], [3935197, 9751598], [1668544, 23090080], [53939510, 35649086], [44425958, 11564220], [64386232, 81562856], [46145609, 21055712], [80554245, 25023378], [27099643, 88692606], [70442035, 65222282], [51745846, 73534338], [16442921, 96695392], [96794853, 80234741], [21246882, 55311757], [40728350, 41888582], [55645504, 63048671], [99657313, 72928737], [92800106, 77633837], [23757554, 91842118], [22693767, 46986682], [53984857, 41394782], [38780421, 25144657], [61250029, 31137434], [8044283, 14532710], [79921669, 47368734], [46892210, 41705498], [47684670, 81921849], [57118585, 36116306], [28513505, 36713529], [93966781, 85240815], [99611644, 47568811], [59429616, 27152175], [67223717, 11146662], [75716497, 69502428], [57927503, 42605440], [28923891, 37104267], [47206191, 16297303], [95359661, 34893147], [69190809, 30151083], [77693916, 53596919], [29386031, 34022084], [69027053, 52340450], [84476413, 38719850], [15019509, 49928837], [58394819, 60940298], [74335990, 8563432], [57014524, 59851424], [42893848, 4316381], [35459445, 50514325], [38427681, 5207626], [81778038, 57562148], [10988014, 19984016], [9903406, 58578852], [56728143, 3778711], [77075809, 67919209], [13752854, 84946642], [67701524, 50541058], [27624235, 93226021], [88035694, 76097274], [15316815, 15585602], [83699643, 81145711], [11249379, 99585057], [33604583, 63046864], [56287653, 56019626], [15164892, 66985782], [48768254, 22844378], [2307856, 26030978], [53266345, 53798201], [49939817, 58334780], [18795575, 55250480], [8136938, 65751255], [89291731, 5298164], [54655850, 7443803], [12049476, 7372275], [49407832, 15940098], [23563304, 16955417], [15193011, 66394084], [33719299, 98983088], [56290257, 18735635], [35239795, 13897166], [7982108, 57568868], [98175236, 1084792], [58481654, 75535904], [59741580, 38193494], [47431374, 63872978], [38753016, 91037860], [71812109, 49341230], [40396768, 24316702], [75608420, 15606175], [98228851, 39755480], [63047168, 1149673], [59863260, 69656522], [92486516, 18378135], [63360868, 1394487], [72144914, 75376069], [34171403, 13841971], [20945399, 1503300], [68712136, 2153364], [69687771, 69198548], [32913267, 45208447], [58859130, 70263431], [3433895, 18170649], [16190668, 64589592], [15026071, 13932578], [72986853, 21102849], [19597756, 18472709], [46752679, 72464830], [97394349, 78145276], [40850957, 47066041], [38637961, 61295704], [66979333, 7500917], [91116172, 78999253], [68704943, 33548293], [12959544, 81738938], [65008356, 80290934], [57104031, 47467209], [58686155, 81388424], [68139213, 57616457], [8714683, 28664292], [57249915, 29320782], [55820783, 37920412], [31686076, 11504633], [93746447, 64550730], [59170956, 52156991], [42789328, 15392114], [90779205, 19885325], [642788, 57846139], [18532337, 35293860], [24213036, 70036238], [77977531, 48602577], [66553276, 38763782], [94928807, 13852037], [18779529, 75455767], [25768071, 45319352], [53384036, 81696082], [88580572, 22582574], [15617552, 99223150], [80913396, 70545803], [43916207, 50204707], [57994790, 27677158], [67946322, 10286574], [21960043, 15558530], [64662247, 92097466], [19898805, 55409131], [51503775, 95092330], [97827693, 90564602], [68334044, 90374728], [70492789, 54052208], [64424598, 95368287], [15909800, 24828646], [19527656, 35697355], [3218068, 65679697], [55833600, 14957376], [51769770, 59937795], [93215456, 36900866], [76285247, 37987719], [61852159, 84128343], [56264288, 60153678], [69696108, 64550975], [15328549, 65909707], [42177895, 57275231], [35071514, 38332293], [36661726, 46252586], [12937872, 21962942], [80165326, 99335460], [91550102, 11601174], [27679985, 59845398], [50939830, 72874377], [26638237, 12626275], [3908520, 33523287], [83628198, 89165976], [34682288, 63479346], [76328064, 2423015], [49602700, 71814975], [73256154, 90658970], [50139902, 57198782], [79747344, 78653787], [66277364, 46840506], [96994841, 20287164], [24552685, 23244722], [39402156, 95420263], [24023902, 76193887], [91588237, 23147631], [4584595, 62223145], [64119006, 50543269], [77718060, 28113653], [15994298, 52902734], [73947076, 13725445], [96294381, 34190810], [48538277, 46737189], [81172621, 76131890], [3706409, 14477769], [18033594, 8209212], [15070306, 57461677], [88867242, 84298598], [8759816, 13836531], [76922334, 82677451], [69708687, 98216245], [86750474, 56888271], [42459945, 93575387], [80276963, 91104111], [5019110, 68358099], [38605087, 56473201], [72502469, 69318685], [14592466, 81676373], [61385741, 58030210], [73665731, 92553372], [6632810, 91488046], [29646912, 20425847], [43986889, 54084629], [66201092, 18198125], [47318768, 80736166], [9609645, 52221153], [31681737, 90933634], [16665381, 85928984], [87134173, 21791597], [24362586, 19254886], [66567526, 26313653], [62520746, 96118055], [79882395, 75803202], [32387670, 38432348], [95174141, 71693937], [75263638, 57415135], [92316618, 75448664], [82071932, 85576240], [29201328, 22014230], [44719535, 18624605], [75349635, 57012076], [88747885, 11486661], [17429186, 23119588], [83165555, 39645585], [47430123, 63831167], [16255605, 64188376], [74406665, 58408122], [72240075, 33105486], [8885201, 76624937], [79182321, 98748697], [41519464, 59913883], [32970286, 70907202], [60192203, 2045216], [58560140, 9171856], [12493840, 45923693], [3382706, 31104703], [7225586, 88592870], [48853517, 83100395], [1291311, 73877465], [16929233, 69419403], [14133648, 62542318], [19175695, 12542047], [75311687, 82637284], [69535852, 18925858], [87487734, 62301834], [92061451, 16164223], [59254764, 45731849], [99901569, 67640068], [12040591, 69393991], [44906414, 44291954], [30658155, 81985261], [73106629, 57994731], [7870725, 4368440], [97409089, 67967031], [97738235, 64230776], [24943091, 73326646], [75510733, 8799066], [4577005, 98183318], [6750049, 12068614], [10089692, 74260893], [91839591, 63793437], [48760022, 38409561], [79738250, 78758748], [58221678, 71202335], [8043046, 76177651], [64408459, 84067055], [69454751, 45410078], [31850875, 87366641], [95102517, 74603458], [40727096, 77449021], [93494292, 66150351], [2867004, 42759414], [71367845, 17599382], [68104107, 66164573], [63165665, 17204685], [71942151, 45931388], [65299113, 99070934], [72553371, 59475431], [81620238, 46426537], [66857931, 1685801], [27104589, 98678001], [70821096, 76049622], [30917295, 65195781], [9230291, 85607398], [12721515, 77958588], [36589587, 43674662], [35462929, 11122203], [81983108, 96757221], [2541545, 88425585], [78310592, 66859486], [53543589, 73609080], [21671681, 69930007], [40600104, 47376304], [93803291, 54614610], [97155151, 30119478], [63616796, 3689791], [96246304, 82941378], [59505896, 37058070], [56666665, 10491269], [40291918, 15598325], [49498765, 61871088], [31090124, 99166856], [83605551, 95979052], [98077256, 74759852], [74624530, 94396288], [58931497, 53135467], [90265780, 66177751], [93875832, 72387041], [98543793, 77579157], [36968245, 39922183], [33960473, 14718874], [13399350, 24034680], [2639607, 27037985], [3510755, 13493449], [11524788, 92391293], [53013854, 16759602], [27594311, 11243791], [29146100, 72709950], [94364968, 90867314], [98711933, 8480544], [47553008, 90577255], [29216866, 15062813], [38423662, 5646277], [95666014, 55030402], [59190895, 79742380], [49541794, 3031859], [30333510, 56233000], [78112696, 56325847], [89753812, 94386430], [62768841, 4010239], [22414734, 99881232], [92068920, 74805214], [41576757, 22049014], [40376441, 34855377], [24376207, 52260198], [43904068, 22221513], [73737602, 36469402], [85280462, 37876890], [98381151, 34050640], [52510572, 91872596], [68142639, 48331508], [63389434, 19390183], [13715582, 13536165], [15228799, 45966300], [14352781, 78609119], [50496461, 63933725], [75278254, 92694795], [3587208, 57331667], [66034053, 31346093], [77237419, 12117460], [57140580, 63646622], [7764193, 57497373], [69330483, 33124354], [78012664, 41561010], [91520215, 33060675], [9902538, 43010128], [24746496, 9407089], [95274314, 24162216], [14171675, 70103627], [63854568, 64390986], [70742285, 65815039], [9905028, 49461999], [76468481, 22081925], [71580777, 5567424], [85904722, 18975938], [14251257, 70876860], [35934273, 72943776], [28429166, 74727122], [74828347, 5518496], [99798109, 12381048], [97180042, 11475857], [10514239, 78078446], [97398349, 51317922], [92300141, 85284563], [33388275, 72838457], [1533685, 88616246], [3676174, 74429334], [69832293, 65923585], [72910927, 84074598], [96483895, 13572088], [3362842, 85182553], [61303166, 25948428], [40844439, 41495490], [24512795, 15435234], [18350738, 3776433], [75224988, 18247772], [75662565, 61213765], [8121133, 41381159], [56489319, 35758991], [37412108, 14421406], [29475222, 83038018], [95384247, 27135261], [42338348, 43931405], [92663112, 89655550], [55855995, 86430651], [2627884, 98266470], [61476610, 20567140], [81277895, 14359680], [73657217, 97396211], [64407124, 88463108], [20441542, 86055259], [86106837, 49239333], [20080321, 92446629], [43276469, 6618260], [40631831, 15415342], [68583535, 10570046], [93983827, 83189000], [92728243, 33596493], [4075498, 68369446], [30437945, 55034354], [7484158, 98101091], [89524177, 5511601], [55184665, 68676208], [74238646, 80906615], [65179486, 94429735], [72793336, 80720837], [86158838, 96907795], [23682916, 94456254], [831723, 57730469], [84341552, 32108250], [31935368, 32289758], [81529689, 39426867], [93411950, 76793408], [20993067, 95341972], [39452681, 58807541], [35682295, 89314162], [80052188, 90764608], [31336864, 3979569], [77991585, 59959349], [82687887, 43152165], [65864755, 28218671], [76492473, 49419318], [30847437, 66987020], [96748853, 74525111], [24636963, 27454852], [75061128, 80445686], [58234210, 93897980], [30602562, 70952360], [92322979, 18051525], [13411053, 80784557], [69137947, 24299674], [99274858, 37094813], [82880721, 6689121], [10389049, 46513166], [29479258, 61966246], [43506498, 76343033], [16978090, 75275194], [76438044, 11823339], [45365991, 92291896], [92691727, 76388321], [25842013, 12150166], [68116944, 99372072], [71711586, 76591695], [82133931, 1230131], [39767001, 46313381], [93701591, 90754387], [98289302, 23997387], [28773355, 41736790], [38815015, 48786388], [43732595, 85580821], [39975599, 68107668], [76431007, 61900975], [21848434, 34269228], [31386270, 8318208], [48140446, 25240210], [62685447, 37660142], [69868161, 97656389], [33304306, 49999726], [759162, 88497112], [8980129, 10214042], [3734120, 66640943], [19989366, 73690959], [44601975, 7247619], [11334676, 97272792], [95561104, 34097841], [32473729, 69274004], [16264001, 26073412], [44459632, 84864479], [4787612, 99370291], [72225728, 52242695], [27694048, 25623604], [18456920, 71366181], [27600788, 73851717], [83513393, 73767537], [55583836, 24814723], [41899902, 47740795], [6592658, 27713219], [19639325, 21222125], [68041300, 38026181], [85378406, 99642921], [95737474, 50358715], [45082274, 93461196], [52196973, 50480570], [86591780, 91888031], [87683772, 52256224], [1583233, 12987359], [7402218, 89252218], [37480616, 6296499], [35032365, 27763866], [31997187, 57854377], [73476195, 14533061], [57176566, 8791800], [119374, 44495001], [58812189, 99303767], [40429043, 4329833], [32431633, 73414992], [58773409, 49703497], [13604865, 83054719], [82987691, 87531870], [44402212, 22769544], [68553583, 42667608], [29674839, 98997216], [85119248, 40888515], [96703313, 64693693], [93330856, 14315984], [67560047, 5868939], [99496263, 66056314], [46909164, 29478728], [90511428, 33836170], [78166346, 28755346], [4613278, 13863048], [62400956, 98663966], [28914513, 40215307], [35750493, 93084672], [91470210, 4195028], [83766437, 88929711], [71998766, 68999095], [48994825, 35346779], [38877492, 60208124], [36669398, 60512510], [59483761, 48533896], [7650009, 83085759], [54944687, 46143694], [54987666, 35726555], [69871134, 21903414], [84695472, 91562945], [17254232, 31410792], [25951253, 42337178], [72801702, 88291251], [40629072, 70995945], [35619079, 94043287], [86841825, 80398078], [4937117, 44729195], [43733673, 73950649], [14641961, 34985465], [54252625, 93863916], [63900915, 79301854], [52275826, 52775853], [29610451, 37760944], [63609991, 42620113], [8547726, 45191754], [95302426, 49391105], [88906804, 73255718], [98426649, 27049388], [96528494, 89145342], [16891441, 70250099], [67357407, 42438663], [81661109, 98850319], [84089689, 83449208], [31669684, 43226343], [31707753, 59087875], [76496156, 34147460], [63084727, 54629282], [62582731, 97321551], [55874074, 66211196], [22260820, 51801742], [54780574, 19529462], [4019539, 71426748], [84198110, 45824240], [65457338, 67962087], [21030988, 47861423], [32134294, 72665825], [71614787, 83690110], [21339100, 39184003], [94506940, 77218104], [56433163, 16467012], [17080264, 2823785], [89460153, 43453012], [29809832, 31791142], [87321697, 64763207], [71233151, 3352622], [87157140, 10476447], [49264505, 4238353], [37974967, 56076483], [80746394, 64277755], [83815542, 61668787], [62477057, 36066570], [44714443, 64453083], [29225570, 54847650], [9820127, 67487447], [99103730, 72330000], [23164667, 60609726], [81821011, 69194835], [98331889, 37488966], [20649792, 47273476], [49908661, 13413159], [23503367, 70981686], [50933415, 52427058], [81693083, 14106891], [25916083, 72342606], [31916568, 68322452], [51001870, 32093088], [87921878, 78455943], [11131872, 6779355], [71143997, 96073233], [92582595, 84058102], [64619746, 36487401], [46231141, 81045779], [81321427, 93833588], [20809148, 65804476], [31279278, 58425192], [46718533, 53990933], [80119533, 99297114], [18274247, 63360499], [63197746, 78696326], [61501685, 6913087], [13116876, 66875903], [48293597, 16246448], [68088962, 59949863], [22625553, 93131662], [64360346, 39307374], [50702387, 10908071], [83514537, 3326045], [26062880, 11437725], [45845522, 2724651], [96203732, 56628791], [23865376, 61742598], [1887295, 25393104], [8159801, 91343736], [58005804, 70751653], [70942066, 54859930], [75261040, 93297944], [73310484, 15688074], [29650207, 50874405], [54467400, 96112823], [86302737, 6831243], [80202765, 59086472], [57330563, 67471531], [1910078, 9253213], [19920616, 66231714], [35564885, 71872129], [22308968, 601090], [39726603, 8983680], [6392155, 36418010], [87462726, 59430704], [47896443, 29796761], [70608585, 5827883], [17103980, 14214466], [38773773, 10828475], [58099191, 66587330], [27930333, 48904480], [82071964, 41560862], [86541410, 57576235], [45278275, 67139085], [65687403, 5169196], [51378378, 12386860], [6131954, 87153293], [23207943, 88743024], [49591412, 74208106], [71146530, 48284097], [34891123, 12895511], [23908070, 90121220], [87932791, 78086201], [95421760, 16841078], [65540832, 39114199], [14546421, 43907900], [2806811, 55915215], [92188114, 29996957], [6283858, 49174018], [69259327, 98074994], [84658886, 32536555], [99220814, 61732851], [81449763, 46817564], [69162729, 71873394], [42178389, 73123330], [78790689, 16633726], [34919639, 15726086], [16492990, 89563527], [4072833, 67159555], [56665924, 18365919], [12357419, 8535163], [65389319, 73085381], [38982654, 87981772], [31464433, 97937461], [40092545, 1385221], [14245027, 34975019], [58528517, 53522938], [69861630, 32892920], [13524617, 47028965], [84068328, 85718908], [18754088, 73778325], [67206014, 11864846], [61314095, 22076201], [5096408, 41328946], [76403319, 8720954], [48090929, 32285343], [30958429, 86577997], [58472700, 3257825], [84698406, 67806670], [60420771, 86707045], [19112835, 44184925], [74391353, 7807532], [13242783, 73390892], [64398492, 6697890], [95695614, 76275976], [45453342, 31080189], [94992698, 34677179], [10579492, 7054662], [30120538, 55461391], [47710843, 65462621], [18781460, 20715192], [79523412, 49738078], [80750757, 73168213], [12643663, 97431256], [754860, 46531174], [77359635, 30953773], [99589951, 73560907], [19329367, 37568211], [28874655, 94639296], [28449794, 74481811], [46477128, 75231880], [5959846, 61956382], [22802555, 35135486], [21127911, 49196619], [37328425, 50194705], [23603939, 65424452], [50780760, 26067057], [20127430, 97809350], [698231, 54151965], [54540031, 60770147], [32982204, 25819981], [58855288, 68929508], [74664190, 33178064], [73225594, 9689949], [82474730, 84757116], [3397822, 4680292], [90099680, 55967717], [47308127, 66466899], [76250443, 21617111], [2528139, 91471326], [27859501, 65580665], [75313249, 87209113], [6558540, 44822197], [15847951, 67238190], [64190752, 72364130], [17224331, 33640448], [69889602, 52620195], [67362967, 85919385], [36914684, 59374085], [25757337, 48720419], [4740338, 64357097], [38736525, 29692488], [10322232, 74777787], [40227344, 44774433], [94493523, 92248827], [68771551, 98502511], [87674307, 60264759], [12623416, 98170905], [49165988, 22266496], [49846959, 22220166], [46842968, 30077564], [15770910, 85280853], [99628339, 29697617], [31718898, 38055811], [4066493, 26824704], [79222593, 86787593], [64014148, 87374431], [44388447, 47696521], [82039486, 64615906], [4348457, 54992242], [28782553, 24744663], [43949810, 41360865], [42506599, 77379455], [21454802, 92435425], [49468811, 22726110], [84048220, 81379802], [23638300, 18877052], [61315621, 13621159], [27700522, 62516175], [8984962, 50090346], [96605707, 36908315], [67904786, 35652661], [65346949, 19852115], [86525024, 17873206], [91443986, 28690629], [46399148, 92539534], [67347521, 8874260], [40538515, 14999389], [36774572, 3013440], [62277151, 81177431], [84425078, 89191114], [14305626, 75135556], [16933122, 72353407], [38655350, 41080305], [38882961, 93744387], [51951436, 13550210], [4135946, 87064600], [66018664, 8860040], [98639629, 95892493], [19661567, 28518999], [14840328, 68893188], [18345160, 42662560], [5162788, 88395334], [30673635, 49769022], [53913047, 83544753], [25495869, 13462072], [85593330, 72242241], [86997357, 99280736], [82519646, 96240240], [57580420, 16297280], [69005675, 37736605], [8137497, 90733597], [76568505, 96171155], [96800460, 74315381], [99259816, 44396588], [19669829, 22746950], [70672340, 73348187], [8715407, 92098532], [99086158, 26523792], [15823632, 96850918], [31805022, 20183856], [19998346, 4645940], [85455661, 10476864], [2715142, 68491765], [86949512, 96451228], [66977014, 23573528], [93320565, 17753815], [4138483, 2542150], [71783177, 14384509], [33169671, 24995708], [7212649, 6819263], [6276980, 96494381], [35552505, 60893569], [33112639, 85957959], [19376414, 32792505], [26936616, 81115135], [90072775, 69611791], [75256115, 35615418], [65651994, 11526785], [65751045, 96664946], [64275778, 88936923], [42984915, 88011423], [61068279, 94786007], [32983665, 16340610], [99076390, 9835526], [65589811, 96783054], [77843859, 79798981], [9199820, 93916175], [52241908, 84355047], [12497684, 18212276], [80927237, 38075687], [45465832, 79665317], [80860805, 18815466], [24506668, 85622236], [68136701, 9514657], [15196892, 53899353], [10489314, 75833209], [21721126, 13418363], [6487747, 32071853], [60623835, 98642049], [95552952, 49870169], [92554026, 56706788], [63437164, 90959494], [54648312, 86376168], [12855253, 43577025], [53586236, 46388218], [18923842, 43639113], [92483843, 17171665], [1493063, 54030960], [67773738, 94300844], [61200801, 93742117], [34835702, 70836036], [28918695, 87859938], [939242, 8429202], [44471172, 66851410], [68044384, 63934684], [36299962, 45326512], [31473560, 25794849], [76895152, 44925523], [87320848, 21498680], [68777712, 55185939], [36905603, 3204921], [20923050, 19974326], [7896590, 8534947], [49140539, 26744061], [67545606, 15723699], [76173716, 48071104], [71107525, 73298052], [10752979, 12001211], [64062366, 98906014], [95217739, 96043348], [12840190, 89726623], [92108712, 79841955], [4239159, 74946691], [214010, 51519281], [96451512, 95111448], [30428525, 61267278], [32274452, 28735160], [61330679, 19517686], [33442152, 90970750], [52823663, 78574530], [2421398, 1202516], [79864988, 88546481], [69417311, 31437630], [41138717, 91697975], [94996987, 22871597], [60435683, 93017005], [91659747, 46361141], [93795991, 95118785], [5874725, 74960324], [96793434, 94623928], [72523581, 83104185], [39823951, 2455341], [60483691, 19766832], [78694822, 67125537], [83539442, 44264480], [15080574, 27649750], [75887100, 55039044], [96813896, 98705959], [28594014, 11607381], [6738705, 7842101], [34964614, 97820949], [7788461, 35696032], [44152272, 22848100], [82640127, 72593755], [72761792, 58352316], [14922221, 52635375], [23536474, 34244015], [2342900, 23316571], [53057245, 40421908], [14267413, 27317071], [89664361, 69222738], [83361659, 67410328], [16905856, 5948387], [16460699, 43637914], [38935849, 26914007], [23561605, 51222953], [45963959, 46309263], [84561394, 58432141], [15888921, 3076461], [55042128, 24487799], [97446660, 21269642], [12305563, 80981315], [85772368, 32601336], [54725768, 29530319], [37595109, 76912795], [96345836, 66495830], [44263523, 39562028], [54275490, 66764916], [28093764, 96280267], [82212338, 94878275], [78609289, 59157395], [79237367, 67111510], [79443215, 5035590], [90214471, 68054888], [90311690, 96432942], [76059903, 79610079], [44190840, 11432316], [16605425, 21647962], [49705939, 77495095], [36294411, 19544862], [60961900, 72604650], [34967767, 172543], [96315592, 86344028], [94221264, 12239154], [46381081, 70263620], [2823060, 74493782], [67570541, 14580590], [93988511, 38456175], [32352017, 37512149], [80815596, 55208353], [71148781, 63798392], [13269103, 49357042], [8892361, 34557998], [8745784, 63370095], [44232017, 18333611], [16927627, 52403473], [59335491, 12918868], [5320915, 79736626], [66700558, 64539305], [53418003, 33966956], [25655408, 93450742], [47242872, 82736565], [64260866, 17665761], [43581753, 11816939], [79149829, 86419372], [19373053, 89359319], [16855112, 17109676], [10099662, 45165084], [12322079, 78330024], [15942653, 7990657], [99872617, 42463573], [56831749, 66355460], [20055180, 22723392], [75563182, 36762177], [22393929, 30014186], [10750215, 1042583], [35368823, 25977655], [38883380, 48181247], [55436578, 723521], [89065763, 9617892], [97014660, 52972633], [49108053, 64346007], [60636349, 35303380], [62500895, 53223713], [43000317, 6691329], [54859559, 24673148], [90858686, 74771055], [74902070, 10061382], [59241027, 22968978], [16018424, 91427560], [63550805, 91955834], [85205238, 50221680], [26764767, 58939892], [57437901, 63631680], [74976637, 68518764], [4467543, 75809264], [79121591, 86389666], [42755088, 62742483], [88740927, 21635225], [14532050, 86180836], [52271417, 75440001], [75577747, 92037459], [92118937, 49081951], [96628892, 21701743], [80604052, 30600546], [88489012, 91663611], [22430537, 21377758], [69680473, 44611475], [35418141, 24683093], [99298998, 81622044], [77813459, 15034441], [89466983, 2859405], [74266372, 17088386], [40917403, 71779654], [316913, 33422628], [83941190, 99421047], [47197252, 91217238], [30341202, 9057743], [25070596, 45078519], [59446725, 17896969], [85282227, 31136498], [71005770, 66806152], [97364533, 99982986], [57271309, 90399589], [64543203, 65458579], [53250163, 29236516], [23721811, 53921907], [76418918, 35089375], [99930157, 36563740], [70524922, 86531650], [68839378, 41978308], [52824333, 78728797], [69721581, 67259440], [11544841, 27963533], [64828623, 77536743], [59564908, 15766066], [54416515, 80059935], [97421650, 94336467], [55289966, 72144713], [9196642, 96668588], [93358746, 27290275], [48554119, 3126792], [66565358, 46156886], [74260245, 79480866], [13558955, 82344445], [76488436, 12682542], [46607098, 66724709], [87714733, 59288316], [59055785, 21274562], [57810202, 13771385], [5667740, 8502850], [83173819, 5814758], [20444643, 56345299], [55557756, 75054125], [38266764, 56256373], [17653557, 17880864], [14178435, 28495331], [75575460, 95081508], [68160045, 85895522], [43371251, 96990306], [57354465, 61721945], [65700654, 61888794], [41563012, 69778189], [79552094, 22965194], [79361563, 90160817], [65447257, 69057138], [37647680, 69541876], [57218722, 65190300], [84485015, 21555772], [12281126, 2660485], [56013848, 4066134], [81250384, 17917583], [26569320, 66676531], [12215232, 39366430], [20853683, 61171406], [77121073, 37131480], [96853440, 54381737], [97260428, 56623595], [91257162, 97478557], [34029645, 93483583], [9307334, 14095737], [85892661, 95090659], [39439035, 65965110], [91139080, 97757050], [5548423, 35689889], [7174602, 15249469], [56454217, 51964318], [50546364, 86968281], [51376828, 87611486], [21403980, 34844072], [52297099, 4121994], [9132191, 59003719], [57783612, 86223534], [96521798, 51174392], [90915405, 72760650], [78456108, 96128359], [12994374, 27433313], [44810407, 82822740], [91289416, 5726876], [4272222, 63936601], [20725236, 79582961], [27381797, 63350174], [45763174, 28048833], [5407455, 21149126], [75402336, 76334008], [95304332, 55935939], [54270412, 2298698], [15367043, 94416385], [40573901, 57653904], [38039087, 57543553], [15054459, 66782861], [93373073, 86988312], [94634277, 38041343], [21894557, 1528441], [51925169, 74971343], [33595141, 60787562], [50069611, 59381837], [15310374, 94917763], [40337488, 21377921], [39991783, 97118964], [84059311, 76007077], [74511353, 79699683], [66858458, 25962851], [59207208, 75186845], [23037033, 44017714], [78097180, 95891827], [9685648, 81104649], [59964668, 44343602], [28411253, 62774906], [94626685, 8795518], [25131760, 89911833], [39841963, 72277770], [15262756, 41167644], [15077757, 32996565], [59554422, 96392026], [73303066, 41284507], [74765654, 96762017], [22794824, 29749288], [94534042, 98216297], [86679361, 79425980], [13437349, 73748837], [38305115, 97552748], [76206637, 49875122], [59065469, 68314320], [9118931, 62371289], [10580414, 78363795], [88214589, 85302057], [17712417, 24883925], [39957789, 32972037], [79279211, 33378953], [80036084, 33011738], [22524896, 94601287], [2271482, 88481631], [77202966, 54377344], [76976176, 35375867], [95942670, 16665066], [73303251, 30870038], [14892531, 96999196], [20540816, 76807853], [19432148, 91775786], [49784875, 15048085], [29071657, 81780660], [16414121, 7180603], [85521344, 81964629], [43193530, 12236382], [79535106, 58884032], [71977666, 34624146], [32950425, 2459379], [11902049, 148835], [8692903, 27666964], [65349465, 91933952], [38539210, 42698144], [69598959, 40727908], [74981996, 96503392], [77941557, 74002879], [31937127, 14742978], [99880580, 25424248], [7504947, 4489474], [67352158, 85499275], [88797930, 29013839], [12220343, 79880078], [18522472, 3016902], [94040269, 71759629], [29931020, 52494546], [57319407, 34839497], [14791353, 7199638], [70453153, 59319492], [50845472, 449496], [8002419, 90808643], [58646895, 75564798], [41403288, 8772264], [71636206, 65263049], [45272414, 80026308], [62786555, 3579255], [78088366, 19005171], [80956159, 27636085], [45918842, 66832843], [50011046, 22963308], [53091102, 34029328], [48001500, 35296573], [1767821, 90496546], [4368048, 87374315], [79620446, 69100049], [76921400, 93491184], [36383634, 16020520], [49209330, 74446875], [29024211, 19264144], [13016074, 62495875], [55701673, 11666544], [53513510, 54674697], [23844949, 75278770], [2726649, 9282207], [41924608, 71554846], [72310438, 12133701], [60740889, 28095387], [57441439, 81191949], [87750256, 80086989], [1319818, 51262245], [49894022, 41099781], [10073331, 19942946], [25804441, 9477585], [54819200, 24102552], [66130061, 40901178], [65536497, 61371921], [32261523, 21682296], [16992502, 84767074], [92756874, 64652389], [64662391, 81822], [71735359, 14725361], [91068416, 3807312], [81902487, 44404949], [99457272, 34453945], [67267636, 62039252], [42759610, 28910657], [1465677, 2496215], [365546, 35580326], [44742700, 69048648], [48257462, 8674570], [22742323, 79983221], [49087365, 37084952], [20513598, 88217236], [40308783, 87944509], [85050566, 877534], [5236342, 2174441], [38977153, 61744154], [66269203, 69179472], [22600482, 95817626], [84717965, 71231013], [66021183, 91072525], [33956569, 24670093], [36250520, 78502591], [1530028, 35059441], [75384355, 80996922], [3146023, 57613855], [78320300, 54467568], [33802484, 83060668], [25496032, 99597166], [7583038, 42719138], [90289020, 10730394], [40792698, 62644135], [28907696, 36422078], [31878105, 47276384], [61945624, 39288688], [80115714, 89350714], [97831137, 64461200], [23933919, 85830952], [44490144, 8164932], [22066090, 92437415], [4388703, 66887369], [12663168, 25336466], [75026827, 2871929], [85944648, 1029418], [90693832, 28030239], [23489324, 4494891], [90445461, 15976897], [12317730, 14397094], [67347276, 79763773], [38664533, 51082752], [10745418, 94898218], [82371828, 97320839], [8954274, 47758593], [80638747, 96360864], [70057979, 15762337], [21315798, 25940516], [97447175, 43785518], [82467268, 53863413], [12344614, 7519583], [52725199, 36501642], [59448752, 93660172], [93936650, 80334184], [24273437, 96901257], [39015254, 96755665], [9182870, 67770596], [88216051, 71330883], [36817098, 78206002], [50215433, 85430434], [62706136, 64749547], [53245449, 89274352], [84559858, 14821597], [53658706, 82396779], [27116738, 59563100], [37893522, 52211142], [60316703, 90518531], [13930845, 45233200], [85979861, 1012020], [87001714, 74563610], [10419516, 3476], [22831948, 68889177], [3735138, 27013608], [72786067, 42856814], [93416598, 1779779], [65610297, 3907310], [40302828, 45058113], [89387577, 9955460], [86562926, 88581516], [92539460, 33509026], [77866121, 31151767], [33133695, 25753417], [90806044, 27285903], [20460220, 83774893], [83712216, 33308764], [21072818, 21112902], [15922401, 45142268], [80561331, 26088567], [29135956, 88762897], [35309289, 81493276], [29602326, 22789559], [12348072, 88732983], [81925755, 33030686], [7306617, 58476422], [65310126, 96015148], [59695675, 23896431], [79871929, 55265899], [82937494, 42905579], [3350438, 37933781], [32872312, 54686641], [15724145, 29292876], [42024856, 5901085], [99088495, 22328611], [91552428, 98655631], [51040507, 73004989], [36689282, 22237162], [32606491, 94188542], [2836549, 3936114], [30354965, 40738673], [4515970, 62396836], [78831787, 2271769], [83930409, 89431742], [4021591, 22549428], [88588146, 10191552], [5423031, 23699608], [65286472, 79797470], [84295950, 13779563], [82422984, 48340706], [10402218, 7640775], [86785201, 4885836], [56116642, 23324195], [55423501, 6401819], [83834219, 12481994], [78063763, 46257091], [92145900, 19870037], [18193632, 46467904], [30879816, 74285525], [78880568, 52023308], [94002357, 94622347], [13083537, 75686094], [71279902, 91084769], [62578589, 93214089], [74785373, 98735748], [7367342, 47106853], [49884685, 30585259], [88053498, 29434880], [52934857, 86331206], [40422258, 34819321], [1689705, 34385729], [59896590, 26600769], [26709907, 7335627], [90169553, 94684888], [76216696, 62384644], [32014615, 35690309], [49067659, 15881382], [11555819, 84406004], [31930887, 88396262], [90675151, 77898679], [77603367, 15960035], [43489508, 77846746], [86041824, 82726050], [20477426, 48514717], [92918361, 98657134], [27185552, 15575993], [8364660, 60139923], [68557596, 86881583], [10049817, 20048949], [44565200, 60476894], [24022959, 48438676], [92442943, 71726620], [26535122, 25156778], [77076618, 35296424], [10543992, 72511046], [47491926, 13268971], [40309058, 46487188], [49857377, 97055164], [67639756, 99131235], [72546823, 27103754], [24971636, 38764707], [60559087, 11746836], [103975, 41809399], [43622412, 14398318], [95491331, 14749437], [7659216, 6044998], [38143892, 9180569], [9820473, 21092645], [47198544, 96924361], [79603809, 64515531], [26032529, 84561194], [58851749, 11900084], [44994886, 4514264], [75493105, 51105644], [65233461, 2126501], [5303755, 18537733], [6062910, 62810824], [17909848, 91059393], [2133693, 79977434], [63862665, 5622140], [65737929, 42775804], [63666384, 72366462], [27644629, 52228835], [10851472, 81615464], [96887107, 90262958], [89487980, 97721408], [91016028, 83776327], [82648551, 14201148], [80155972, 99634260], [86635541, 81087699], [60757320, 80451247], [27869020, 77239890], [6799206, 38740824], [84043233, 35810890], [6596802, 30566043], [91961634, 16392123], [86247514, 92045810], [86679917, 22694743], [68656814, 89872674], [43505660, 53408905], [14804229, 45002511], [29882727, 58873924], [10951399, 60345864], [34507014, 55989586], [89171307, 68405474], [21695432, 7034341], [27753726, 37397738], [33804147, 91784443], [7900382, 5105443], [53677478, 40260605], [73181803, 56190848], [97825077, 91808978], [19176995, 99884857], [41994782, 19900012], [75824408, 5512576], [36948878, 34732558], [16872337, 44189783], [87334751, 84331010], [97709411, 30874046], [59266456, 82061372], [70300087, 4936359], [16128447, 46355170], [70440863, 20131560], [1703652, 45039834], [88657147, 61054735], [14713481, 66943764], [35067598, 70501571], [62013680, 9118154], [6144330, 10733819], [65502213, 25466788], [82652549, 36442835], [20420003, 79048093], [44504610, 99007673], [90200092, 95877894], [72738713, 78304098], [16248896, 37900781], [60570385, 55735075], [6879839, 91424972], [78144133, 42430807], [39249051, 9480829], [45944875, 76772367], [86854809, 17104066], [66693781, 79574557], [76746789, 99364734], [69254592, 47665142], [9506799, 47125309], [1031327, 22026855], [31039914, 5700593], [42168013, 5307632], [12362684, 48036763], [70252238, 26736053], [18268506, 99212842], [56385156, 69859360], [78209121, 18280624], [69973421, 7904646], [14840589, 72555606], [66662514, 33636165], [68489753, 15910389], [12546558, 45128020], [90665462, 46551800], [82546389, 8526000], [81947149, 69861764], [5864834, 57601791], [54006864, 61327215], [71040180, 26006221], [6218536, 51203601], [83467643, 39533646], [57936632, 4123866], [55913372, 64298504], [31632525, 27836754], [11551536, 20640613], [19479080, 56508674], [50120329, 53395319], [7098495, 77718911], [32205836, 98488393], [44151262, 97560661], [58786569, 95833923], [61012706, 70885564], [11161376, 20287379], [69604771, 6414178], [17582396, 84649633], [37376330, 80448353], [89227635, 87218522], [4797119, 2924229], [58883057, 36608249], [66990649, 80663741], [85263461, 37920573], [10979677, 81328685], [85554016, 86092784], [89001614, 2478568], [74395884, 77720228], [13480886, 29986476], [6337575, 85906460], [86836638, 30736670], [28121476, 29272687], [36334856, 1791995], [55845779, 7805312], [14976772, 85664100], [44811266, 48276360], [75012276, 74381437], [66802122, 39906498], [43430092, 78895052], [56335933, 60362556], [59126765, 16005187], [47311700, 5269714], [51100896, 66314686], [53295017, 41677378], [91524116, 38226305], [65768125, 84287777], [6529566, 49747224], [87818037, 50476818], [93257658, 36570604], [45732754, 5355826], [72952495, 72657101], [73104170, 94356410], [27176650, 93013755], [45353518, 16463290], [83749703, 66092249], [12151427, 50422104], [89210537, 42792006], [66328600, 16209182], [81452140, 81831030], [21446836, 64235055], [31319459, 16526699], [52520025, 58474281], [38111984, 19455768], [16136253, 65159639], [8736419, 60366155], [85446297, 37185122], [70792524, 30837612], [82525088, 75008296], [14413519, 66427004], [5785239, 7678872], [78636115, 45598944], [78455362, 18949255], [9552693, 12737016], [62907963, 64839565], [50300640, 44995052], [12759392, 49516298], [66225445, 38382889], [74254542, 97046203], [522471, 14715001], [64529277, 21577548], [85314133, 84276642], [85525025, 78546292], [98965807, 38111960], [44836718, 12604356], [73762254, 50258534], [45555507, 73397702], [42926021, 90321620], [58265682, 86322706], [95313445, 54038930], [11169735, 77449627], [24912815, 78393471], [96356440, 97437121], [1861480, 85474043], [18141617, 51705582], [66033775, 17124722], [44352697, 21035493], [78185235, 42868407], [85090939, 60870312], [6168182, 73829610], [25153385, 18888357], [35259058, 13671243], [47870096, 87854025], [29345191, 68077432], [3692769, 97789831], [75849310, 27892252], [90986456, 23133489], [51755618, 64106458], [72727887, 79167925], [34540663, 76090537], [79593676, 83869848], [51441478, 65331845], [42409255, 33103288], [6213341, 56992599], [21181700, 26188481], [69137292, 1196424], [39688328, 865457], [52795932, 4212608], [68035803, 48983472], [27941629, 47187400], [39749972, 89443857], [23024532, 82979359], [2189850, 53058634], [42384195, 60840885], [12493700, 75902895], [2463706, 66466387], [59837134, 38418624], [37436675, 67463670], [9033320, 37342629], [48735050, 56608813], [28757810, 68363050], [81050639, 61456701], [96457246, 94448485], [60524416, 18081250], [58659443, 70698402], [86496702, 91874928], [57403033, 51228069], [72880398, 39666130], [65110459, 69287667], [91433540, 95821660], [83449419, 73813269], [79295745, 62850634], [75493577, 87074294], [83620092, 32541943], [96407534, 89144313], [29773589, 1903904], [973861, 56140897], [29624381, 31722997], [6027743, 15050377], [67014772, 3836740], [6642390, 66343544], [25182974, 147013], [98952285, 16794745], [91548589, 40931020], [88760052, 57000427], [12483157, 19816504], [51253657, 24618899], [15439566, 44673418], [26578046, 82858203], [39111415, 97071412], [47380859, 24389028], [27986531, 68083453], [7390662, 24374454], [73764102, 12113631], [33401139, 30312373], [62051202, 31373494], [55757185, 57113560], [54687486, 65094918], [92972610, 11238515], [2711491, 69438492], [98316012, 10443002], [24511362, 88195759], [31563219, 93367558], [41871589, 91544184], [96657923, 18918921], [48307476, 53259825], [44935243, 40263301], [35075461, 61771570], [23173331, 5436217], [77426685, 91275473], [81600277, 4833624], [53054210, 8323516], [97693035, 32498234], [31132506, 39683015], [80344827, 78963188], [76242617, 26002154], [84734150, 18204377], [20399583, 46547118], [65227493, 40911478], [19084897, 89273314], [59625509, 7472993], [56165924, 67473348], [36420535, 88328616], [68334555, 38608858], [74581025, 44361585], [94486892, 6444021], [34815068, 28435478], [51969449, 88811630], [96212990, 99446410], [17943613, 78926439], [26623417, 56143029], [7414188, 79330169], [70359319, 10325595], [6549633, 4203071], [34084859, 54062388], [39816068, 89973970], [75419777, 97527443], [56950386, 96725673], [12231903, 23909886], [78506940, 66393007], [10812210, 13333575], [83557427, 79194714], [47481196, 5622487], [75488780, 99023624], [56503164, 2218049], [36237199, 39735715], [4707935, 42054837], [8710359, 26623204], [96797615, 37372253], [37790082, 21949907], [62468148, 97586289], [84613643, 84908017], [8763236, 86415929], [45540784, 2582425], [9952794, 30255511], [71349893, 73673947], [20396141, 35329277], [25772979, 10134042], [39589995, 59436207], [28428970, 69000235], [82064088, 6804045], [83294997, 1664468], [59820794, 20355754], [79418498, 42802527], [51284699, 56357224], [65446332, 88513395], [65368248, 63111179], [89693105, 54149391], [18367300, 42527635], [68814850, 90355759], [73858118, 73844599], [93971474, 424987], [56068532, 27679258], [45372810, 2601750], [95347382, 88609345], [93073378, 19015541], [31540224, 69848146], [40411033, 4300079], [83140421, 59031170], [99258279, 22752000], [91082835, 70494667], [1790198, 96789515], [14362024, 13257173], [35396268, 94004468], [52163449, 63153976], [56443649, 85083832], [77989486, 89870210], [17197518, 76147846], [26744980, 3327556], [5023295, 19088567], [20473464, 72814419], [52917190, 57343554], [89634412, 35069575], [93717932, 57925049], [85591290, 30911507], [7720272, 29738878], [23459523, 74322852], [92871648, 29428815], [79541946, 24056612], [86313911, 96229823], [64024097, 47020368], [64756100, 86179732], [33693183, 40291904], [90512766, 64858146], [15920161, 14771420], [97568860, 69994829], [3147527, 20920980], [2303309, 66748646], [31719751, 59870161], [55953196, 42362679], [57092847, 35487380], [95933043, 43937216], [75523935, 78450035], [4033738, 19479066], [33735303, 56100366], [44889574, 55872963], [2183142, 1244800], [59868412, 78737713], [66501587, 71019051], [46450168, 96325195], [7244006, 44901801], [8625580, 22078059], [4485435, 18526779], [86933775, 38772795], [83000228, 35526805], [73664678, 50673180], [66187294, 80681436], [28149327, 39190505], [83804781, 83726026], [56009422, 24988501], [11278942, 38677041], [65391593, 76516573], [21579706, 8868797], [22935437, 81536541], [10841320, 13476105], [53235735, 36394182], [35371727, 90013761], [2946772, 29561073], [45756240, 23477618], [45331376, 62968304], [5590468, 13304655], [50475005, 98658882], [29561652, 96558590], [7694405, 28733909], [41899711, 88648471], [14572752, 90995850], [61281118, 97323119], [30352255, 68048675], [54346948, 62788297], [67775129, 16260371], [63597695, 51538251], [47055039, 90339999], [1843044, 16487215], [26911377, 13437411], [31390149, 74499486], [73151968, 78507978], [76646492, 1783789], [11007290, 25124959], [38439581, 7201326], [35023252, 84646851], [42752138, 79672268], [71098512, 63103122], [83905618, 6488838], [47469456, 83885908], [49339158, 58293701], [70332404, 43232975], [42307829, 16696195], [86428154, 42905015], [20292542, 25719132], [68987093, 69852356], [69180718, 15354653], [75808305, 40209824], [5409040, 16667131], [57069418, 14919965], [67485911, 43809971], [4267193, 63720232], [78824921, 15393830], [96998062, 63622446], [96063519, 69405243], [44417234, 44276798], [31989342, 22459315], [71405727, 60932466], [8348169, 2015429], [15847522, 47776474], [69525928, 8014074], [60603987, 88856818], [96791396, 6521283], [18547846, 43312334], [19563368, 78773008], [98256837, 48386357], [16852244, 35728265], [42548904, 51501843], [23513925, 96461039], [15456328, 42448422], [5207805, 14238743], [42178139, 95189811], [28949579, 2729780], [83120111, 14047454], [82238880, 34567035], [40691149, 8875317], [31796415, 84352727], [46252241, 78066964], [81839819, 57119313], [8378060, 43952852], [59576091, 94986693], [89262051, 11621632], [49838249, 96725450], [90566913, 73973115], [50702747, 2351568], [33828994, 75123387], [70196148, 30929848], [66245753, 68264563], [54090588, 84211516], [62166808, 44821160], [9186796, 59750425], [59471924, 6094075], [81963819, 11513929], [745530, 50832546], [99982295, 23616851], [70314613, 94769825], [15720718, 17221419], [88889366, 79520628], [4423656, 42949466], [2245907, 32067284], [26867511, 2785887], [66732886, 10091424], [89512583, 94536872], [77576243, 97248776], [59986717, 15716575], [22933038, 91228192], [22103625, 25742115], [6414912, 15737807], [96364311, 99858557], [38701964, 3787938], [32908335, 34539881], [41661725, 81094481], [3182958, 12723353], [9412064, 86007899], [4569014, 50871914], [89285339, 45743639], [47928260, 67529483], [54741267, 31867438], [81746613, 97689296], [70970547, 5627600], [95738110, 16584080], [63679500, 21239086], [19627590, 6947489], [86989655, 44737592], [6781068, 10543055], [57657176, 61730557], [69632486, 11417317], [1001012, 78865254], [71605091, 81200643], [17693794, 17972471], [13326516, 18750518], [40080920, 49070761], [99460113, 74493806], [79101328, 40105018], [57576967, 33064512], [65080031, 70667773], [48170438, 36917396], [26600965, 62745713], [72881909, 50172430], [2195831, 59021423], [18872293, 75452017], [8115800, 73146649], [24052352, 25187867], [8583236, 63675383], [38816904, 54708867], [52526797, 88496306], [30307108, 66220469], [28000967, 74688104], [52301256, 44744258], [99583060, 28732759], [19547622, 92724059], [69565778, 70197142], [22867084, 43096571], [92329547, 33544193], [66042264, 8989476], [14697198, 71709470], [11389800, 95361126], [539449, 15649600], [52822750, 9217251], [77176464, 46847730], [98675040, 46875978], [47778799, 84582820], [80554290, 6336156], [24878670, 49571547], [70701956, 57808682], [91308088, 54439558], [12810599, 9760212], [31977948, 67616318], [26326482, 56910241], [70413119, 69909803], [15120960, 43971866], [83522045, 84749809], [88593950, 40163313], [66060746, 1713749], [36061091, 99619272], [21538888, 48820119], [7013600, 69039735], [46951580, 28444377], [96245125, 7769114], [22315742, 47076117], [15227929, 82555073], [190195, 83272819], [69012057, 29454698], [38502339, 47005030], [16904425, 65538024], [61907783, 40269794], [58178178, 56539238], [77539069, 6870200], [65873202, 72660314], [90994628, 12496459], [91036078, 15735882], [87453546, 33296551], [46303282, 59605239], [13854852, 60841128], [17299900, 28186999], [75179441, 96606815], [70007513, 3169769], [89274355, 29972934], [26655487, 9394006], [75315439, 52158935], [45416102, 83584227], [78016589, 90653587], [18033589, 18759077], [60783029, 14378736], [83675493, 25373457], [19321901, 17513081], [46895982, 27940751], [24675951, 97494505], [17181496, 98303233], [18961670, 96100300], [51029082, 76788048], [72211114, 98926084], [15741120, 8384168], [24700691, 11358031], [49244578, 31376409], [33660072, 29447252], [66515069, 62821903], [28956508, 52837961], [65457086, 46463746], [83538976, 49573031], [72048227, 83019670], [82776036, 72141459], [53475606, 5882813], [23556050, 75907554], [96785267, 86539101], [30732956, 14551899], [27483099, 34592671], [88326945, 63044553], [31686455, 17615476], [42182620, 55696232], [1815131, 79296112], [95459274, 89898668], [79144256, 15208984], [75305945, 22159251], [72091944, 84454904], [37303458, 17446171], [86185304, 80956713], [6913671, 64047374], [80216109, 55092323], [6859277, 70453153], [92039919, 98114360], [75221179, 17267154], [56674889, 53885566], [75815089, 53008351], [62420221, 88543832], [64486676, 72012049], [6607965, 99772567], [91373903, 11233886], [54420090, 20197759], [23142698, 4726363], [83805267, 73673219], [96958965, 40866081], [90754832, 41573809], [74697825, 32956057], [56104356, 64643476], [9266219, 13546735], [43279714, 55050113], [85691827, 35066040], [46453818, 88584100], [15248386, 57718061], [62328491, 43438298], [19124201, 8763350], [37708561, 2033102], [72114366, 80327281], [62562096, 94540582], [91702428, 78082773], [18739560, 93360954], [66037606, 39024175], [2718139, 37859802], [99016906, 58590857], [38862131, 1938128], [86086591, 22867975], [73685276, 17634219], [69300116, 57745181], [35771819, 71790045], [95270088, 36055039], [57499376, 84580348], [19014942, 78084951], [49399025, 23219944], [61531897, 64080844], [1607867, 760759], [86047225, 60378027], [33271487, 61256730], [26430475, 266329], [73830649, 93695366], [221367, 43206790], [43168534, 54408037], [95077621, 98845836], [22247926, 26640341], [67244635, 69857006], [42579475, 75853829], [29068447, 2284556], [10419980, 81364998], [76920328, 80794645], [78162462, 90732546], [372369, 90003450], [58670226, 82847342], [46460340, 58816268], [77904523, 68565140], [15806046, 33344638], [91181861, 77095027], [56310172, 79127338], [27030312, 97070118], [70374866, 22376287], [74108271, 74969526], [28902967, 20205999], [73290824, 16943722], [12203724, 20586048], [48754821, 32434785], [56527390, 93725830], [45777076, 24376730], [3411106, 23777385], [14473472, 29499525], [86707582, 55139535], [79022644, 42822804], [76591912, 10933693], [50302215, 29647707], [74350764, 54178506], [24942852, 40357727], [42285947, 10562498], [13753298, 50525609], [78330428, 3468890], [16680926, 21143253], [64807226, 72240604], [14031457, 63758783], [91567720, 73056677], [68824843, 45926097], [83344393, 71615258], [54203646, 30788839], [86381438, 11979199], [84175215, 95538089], [20006189, 27602306], [69999286, 48769088], [32569823, 33839122], [79691693, 95508913], [13803553, 20594751], [10036795, 96273499], [54263395, 90184103], [85307544, 19228630], [95717286, 97776655], [42520427, 79686936], [59864314, 53140849], [76283370, 30653764], [1618509, 44263367], [84137144, 68481620], [50392889, 50354439], [17358013, 6534957], [28415215, 71173247], [41039029, 47402104], [97899285, 97681976], [76088370, 94561185], [32879069, 23123148], [44990037, 86231843], [27356685, 35601749], [74853635, 32124297], [1154501, 40815183], [78802787, 17986176], [20544291, 67975503], [80982939, 77281869], [33691766, 84326588], [36289161, 94864093], [50415528, 32562957], [31609668, 1691260], [98800533, 37444905], [64894, 79394847], [53525427, 57738476], [2436787, 48048326], [70549205, 32139482], [91641811, 87083491], [96121799, 19203463], [85247032, 73158218], [29115456, 17667437], [32364842, 71161208], [33874226, 90224799], [26728796, 63120026], [70586680, 41971173], [19275934, 88526748], [31847638, 79802038], [12301733, 4655260], [23471821, 46174161], [99239914, 84751663], [23771923, 32079002], [74082570, 62521061], [88917077, 32082086], [34734347, 81387284], [11889878, 21059160], [64555177, 56878809], [44962604, 38522963], [26710625, 5205947], [6369866, 63678401], [84768350, 11430275], [28299317, 77536890], [9599479, 37367929], [64566967, 66501773], [10240979, 73967272], [87827787, 55642909], [73869903, 75731433], [13512577, 95590158], [29935599, 54135491], [56223768, 32981638], [1734710, 10521325], [86271338, 5724136], [11433338, 76919390], [26565538, 97312542], [80014979, 67092322], [72623377, 16222074], [26799276, 36976518], [83373802, 57953522], [63685092, 19237583], [89518012, 33005425], [19121240, 32864332], [39440747, 65309216], [84482925, 44634380], [51873411, 43162347], [34771951, 36820631], [41076778, 35807815], [69631349, 14265434], [97566469, 93394376], [7805013, 34874924], [61430179, 52519061], [87709843, 54415492], [80098372, 54528648], [11976184, 67369047], [73632465, 78104133], [27052614, 93467564], [64153629, 2492829], [6466925, 91210369], [55478465, 6710009], [45769796, 72902579], [83664591, 54322927], [10094052, 46617643], [81514417, 99536869], [89429768, 33930636], [84868589, 96099150], [31878748, 71783841], [66052280, 52762339], [9011048, 36902641], [53922452, 44406725], [56956122, 82864823], [65040996, 6056523], [60644297, 26845096], [71151242, 54307639], [89907010, 96555058], [47114284, 92176548], [85782750, 95404520], [26771652, 51206793], [61835436, 59168042], [81479727, 38052324], [59620824, 57391846], [44250962, 14233760], [45962154, 72231985], [98292136, 81092493], [40379129, 2789448], [97607141, 51504284], [98264400, 16089847], [16666482, 8989942], [92766272, 28216301], [39636400, 61890436], [65096870, 68199765], [66243707, 17010732], [83667422, 63767194], [10383296, 7172242], [81384235, 70799986], [59640057, 73838325], [87732023, 90006362], [81690157, 16632720], [52808462, 45112204], [71664059, 70442070], [14975930, 29913626], [83259441, 83871615], [66366643, 61688362], [34381142, 24463892], [16728366, 62013730], [38084329, 58095990], [48326381, 28682339], [85910561, 56888136], [63900287, 99604901], [58994726, 62003860], [69999362, 2233982], [96114241, 9823923], [85539958, 20477881], [45665258, 29784113], [44763731, 20834888], [32667563, 16711536], [40111357, 94161886], [79717502, 91914162], [31445584, 65814226], [23458744, 77971352], [62591983, 31807956], [22458069, 67770809], [25742566, 72465317], [64860698, 20753732], [94070360, 92091024], [54016347, 71932746], [88501772, 62013301], [12389104, 34778235], [49580519, 7254541], [1569738, 22726543], [63420704, 31797309], [56834466, 16907523], [10298608, 90683692], [85759715, 55890456], [47779462, 36652378], [49299021, 69857165], [70058993, 35410214], [59223562, 83683977], [87699871, 70146188], [5961692, 3773784], [89560578, 15107859], [51936271, 82777044], [61491879, 32605816], [70483509, 26434846], [84730821, 24679221], [39243921, 2721290], [73467243, 48577900], [15562326, 27810280], [96071656, 2907294], [37636546, 12935607], [34861743, 34256972], [40920896, 12830216], [49684233, 57550425], [52870611, 24188666], [15992784, 40107021], [7581978, 74879059], [42181668, 90344485], [86833818, 9477179], [54495566, 86213483], [1896919, 27735903], [76213501, 60940545], [97612532, 10417872], [27576333, 29887715], [730389, 28915270], [87095024, 51866405], [41666270, 93402551], [8573649, 18825915], [5954416, 43481254], [17349990, 3540609], [76890650, 69502099], [20244282, 58020485], [58000236, 54776542], [13480037, 435786], [90711776, 27942144], [83283046, 13723135], [67367348, 41941523], [31842325, 62004924], [31080203, 32866124], [53078320, 96336422], [72827507, 79714108], [7691019, 5466533], [42856038, 56791611], [16853280, 82784183], [74136681, 35302945], [26549507, 44804733], [33077833, 59058406], [63332500, 20323157], [81400730, 67173987], [44162665, 54931710], [60273440, 27331510], [91496064, 6795387], [74807607, 60805741], [95544841, 28079916], [19381970, 78296431], [28370243, 38961089], [44557809, 55463327], [99502028, 60013884], [34943651, 16379642], [5843648, 68209307], [15364404, 53278643], [11788533, 11173862], [72628323, 36897860], [48731428, 10289903], [72238002, 73889866], [69722824, 89013953], [38899145, 97074632], [6238385, 83312042], [56928119, 44257426], [62379203, 92554689], [96238017, 73866175], [97227929, 60425991], [59528098, 67229240], [7836432, 21913360], [57207078, 82208313], [67554989, 30003535], [48068113, 87471617], [44929792, 32589231], [21732281, 85250646], [77786391, 414663], [90019251, 56404612], [62343134, 53339291], [19724162, 3140042], [12341252, 86498168], [33325932, 31399181], [24402108, 14606253], [84354278, 54092530], [79385827, 13614571], [91380462, 63945640], [23470477, 14919303], [72600518, 54293870], [98505267, 46299169], [24642384, 54824242], [64737892, 34565184], [46860906, 42843562], [44413637, 92307877], [17910127, 68014226], [20232072, 37480438], [22796240, 66585557], [51847804, 71642124], [34025147, 88135944], [36955475, 84470523], [65268184, 15982280], [58215498, 63565244], [61085583, 22724364], [88675252, 62772750], [428160, 94237959], [16334715, 1949356], [29902302, 25284252], [70154535, 96263792], [80707030, 75859806], [19839929, 87874785], [31154748, 9505329], [17676633, 58005687], [20996165, 56219491], [88641373, 34773981], [56226099, 27559004], [65652165, 82042067], [91502685, 9525130], [71270228, 98634395], [82683143, 61945582], [28805383, 49545180], [92196802, 20717913], [9366761, 73786941], [84572561, 38055033], [88225264, 78679735], [76674100, 84514788], [33171153, 47075738], [39263231, 49690073], [12561416, 93363953], [70110492, 17469836], [90663982, 41915983], [14239152, 54248212], [62875387, 58121986], [91658003, 78633476], [25270747, 1864897], [22700554, 70345987], [73187523, 11097884], [74728431, 58594424], [51583243, 14460309], [3562157, 77424350], [57516184, 84633794], [57658210, 7478423], [12795109, 90217217], [1116301, 2808500], [25796477, 4085263], [92354106, 99366732], [76464988, 17468437], [92365859, 80228566], [1278180, 54444151], [65104754, 9195288], [81438048, 90999389], [26688377, 71087718], [1782712, 62834108], [76996468, 80751390], [54002880, 13882785], [817006, 87573402], [57997323, 83958401], [30584883, 92366996], [63205863, 64177156], [41086200, 8720493], [50431284, 5201156], [56620875, 1832518], [1652812, 90284840], [94574142, 55395417], [28677786, 25889374], [83211538, 81033562], [97659618, 10228897], [46757455, 55169884], [87962843, 50845030], [49087149, 82528601], [91809051, 50310028], [66800928, 68099987], [98386177, 62297842], [25094127, 45669310], [17936177, 24095882], [83911949, 84320539], [37659650, 62260698], [43274300, 1231666], [63775710, 57570790], [68150644, 71283236], [8839774, 79416480], [16295239, 21674848], [14774246, 25460622], [71627087, 91983800], [94241062, 80856306], [16165369, 15840700], [39305535, 39690356], [45429079, 86900532], [10211791, 43174352], [38509751, 16432492], [46420422, 389267], [3917448, 33857148], [24799664, 9789631], [86380178, 42092494], [32381848, 6144023], [68759524, 54598435], [86296282, 60825482], [53124733, 80795968], [29725105, 60869344], [54652685, 67640283], [68859250, 16156520], [23367812, 12561512], [19534790, 18325291], [50011727, 9727595], [75725073, 96920057], [20345300, 65234843], [76987279, 65544655], [22336142, 80706332], [75203496, 46216182], [21942569, 45932249], [6850754, 17826434], [48327523, 79555886], [17981250, 81024320], [33759290, 63772217], [54692062, 32261633], [94649614, 69860443], [56284642, 78474350], [86695239, 52680194], [10865853, 98479544], [23504184, 1648405], [16037873, 64868979], [90777733, 74413153], [39188476, 56202409], [45602234, 61485031], [99476216, 88665486], [56400053, 33296406], [55064958, 91806142], [69354088, 26325901], [67498546, 24858734], [56681196, 7053731], [62807887, 83054852], [99370885, 28219891], [69123542, 24639724], [2455998, 36871322], [70130573, 24469715], [23103990, 25283176], [28114524, 23518223], [52536170, 26446985], [55386733, 88718984], [81426447, 99823438], [29012530, 6682409], [9313296, 73306882], [34230509, 85494072], [73674093, 37201657], [96240676, 68763729], [50931398, 57344566], [95686671, 84373393], [5341255, 45091661], [54639993, 49272151], [91075122, 75480749], [41148584, 57017576], [44898270, 83197779], [13063984, 14510340], [52630997, 55343036], [32745688, 32603319], [57940931, 35777694], [67699674, 59627946], [22019390, 70991039], [72627889, 64070802], [81106329, 43069433], [12710932, 26342046], [18176040, 89434922], [28137568, 94343416], [44934866, 60872483], [71382328, 88516918], [53407350, 41846598], [65665492, 24520195], [26584802, 93091725], [58845204, 32410559], [81661606, 41229919], [95459735, 60843957], [52040181, 25390142], [49076586, 11330428], [25129402, 71790025], [62632658, 34212136], [7111839, 83460498], [50953180, 4903384], [66327192, 72220428], [30259205, 3849957], [71025792, 22723626], [98092280, 95293713], [30514372, 11659266], [93230884, 83079017], [84679309, 98137136], [75905391, 67624843], [78362074, 51003862], [44712210, 14832122], [60202574, 80364230], [47781947, 85419566], [66524215, 53423779], [66525246, 41718564], [3754598, 78623592], [44151762, 21053999], [42640849, 21120005], [68089503, 18274046], [70352383, 56674470], [23014110, 26222292], [18881663, 11562089], [68062030, 85119204], [69193337, 19016990], [42160556, 78248237], [85427066, 47274564], [46083719, 61484726], [44140787, 56252237], [45039, 62440465], [46008568, 96160145], [80806747, 53534194], [88625051, 87178956], [2774546, 26147571], [98305260, 45597510], [11737836, 19100353], [559006, 92982399], [45310148, 49933392], [88142095, 11645219], [43859110, 63819831], [56194868, 26853630], [10742482, 43747747], [89604346, 48746470], [43598016, 54429076], [61766994, 11271162], [98976069, 38635100], [39602206, 45545871], [69063934, 44983000], [68323322, 16707948], [84669481, 81258864], [74442591, 80079648], [38432694, 22277264], [39696328, 58963242], [38271938, 91911460], [91526866, 46270028], [3721357, 36448787], [87369440, 85482379], [96881720, 36984734], [24463703, 76719427], [20464379, 16688373], [10051484, 47703747], [82205311, 2869286], [69886870, 61063487], [25186599, 76457994], [42591763, 71197270], [9145120, 49658575], [22331755, 89423172], [52525888, 8931999], [92058163, 83527698], [48944634, 23666017], [67267921, 5575749], [52116266, 3546225], [13125639, 44989648], [94842316, 71536518], [68645136, 64728805], [26969614, 63206057], [74497942, 7970580], [50602045, 31403384], [12284362, 64164872], [94761815, 36834043], [96664202, 58481806], [10034235, 78634167], [61351089, 45972172], [3912778, 93202437], [12103044, 28867775], [98571324, 90729311], [2826095, 25109513], [10374211, 55536982], [47806629, 55863613], [42456415, 62447972], [78832113, 40965166], [41720396, 59969218], [85883883, 53004736], [58291537, 11272456], [8183172, 24935966], [37728223, 67466820], [52846348, 23571552], [96156957, 65883508], [43972247, 88444528], [14671755, 81055793], [47658443, 49497981], [91984826, 99663689], [84334646, 46674129], [86189366, 64965604], [19340183, 16704699], [63763684, 27861489], [30397913, 84581520], [8203220, 36620443], [51616905, 83317021], [14485485, 10420734], [31264517, 32235422], [61038634, 50578696], [33605005, 78484819], [47062910, 4857029], [83915956, 56006711], [37848367, 18293691], [98253659, 55605405], [84671354, 12440031], [83029684, 70246653], [15637414, 77678972], [28389763, 64896402], [83965743, 59932901], [28167476, 17619381], [44883107, 77633729], [18403759, 33514652], [64770874, 5560375], [4886594, 26511049], [38252852, 7890981], [35744839, 18268568], [24523646, 85733561], [46952474, 91686235], [4098120, 13280032], [39271991, 35194336], [82905776, 83755348], [92843321, 86164923], [20336037, 39699356], [97145856, 61749549], [41861809, 28841912], [57962320, 60267258], [27142629, 61254384], [15414554, 77437761], [58916955, 51341446], [41010987, 93354140], [31050019, 38515666], [77338075, 96762179], [81648575, 17284802], [20931275, 59575179], [72489376, 50381155], [31974026, 79633828], [72064966, 18944577], [65567603, 47296423], [92094038, 68713975], [11992605, 10819258], [73629011, 73829187], [7627633, 21800540], [71523953, 22277102], [7214413, 35602958], [55264583, 778377], [26554796, 61991299], [69185898, 9948742], [90900580, 32687474], [87329851, 11902912], [7911365, 74794213], [20885578, 66421183], [66122815, 22852339], [78386860, 55837090], [5565533, 90483282], [14279311, 34677099], [12549300, 85694910], [5762116, 50126552], [81882905, 17157797], [71777732, 10680892], [34796613, 46843452], [16703563, 61897079], [45648921, 24440349], [19972450, 3594862], [66256252, 841723], [91451820, 86679073], [85431245, 89141252], [47319327, 8529273], [1654460, 53582412], [80022242, 72129773], [18098004, 46687039], [39320858, 96282013], [56668915, 56204212], [91248489, 68994499], [41593124, 4228817], [16353974, 9259457], [53654137, 21414867], [13550571, 96963376], [57319992, 31655418], [18929751, 68631129], [32356606, 62775684], [30307773, 88521014], [17554774, 33134959], [22293696, 72791329], [11978557, 79920421], [65734148, 60056148], [49613464, 79317328], [43828768, 75740010], [54406368, 20653558], [52122210, 1148851], [34610348, 84384201], [16833998, 9762675], [9989447, 21367066], [92792365, 44581197], [79199823, 86233373], [1062713, 74036238], [2882012, 79172273], [83192577, 17479302], [39091213, 29670469], [13327522, 49998784], [90363127, 37977047], [40896899, 78174673], [19428892, 55712541], [61885185, 13041385], [81714025, 19305635], [92610750, 13898585], [18673701, 11198233], [37254569, 92690136], [95595775, 42138065], [15300401, 64394397], [41171755, 45447646], [50593611, 11974119], [93336234, 34888008], [65710117, 43978289], [59269627, 30948225], [82223861, 81586511], [15620945, 20566476], [14526464, 24304888], [13801161, 83612857], [56234101, 64767238], [9962628, 74655148], [32402497, 72077729], [4688556, 85502358], [4256724, 8737299], [81587700, 67446133], [53743659, 5384905], [1368819, 2665124], [72548177, 39075345], [33112556, 15328634], [34413739, 48217902], [75113954, 3275268], [11784546, 61567199], [10510258, 73959213], [85592904, 79336101], [53279443, 11105214], [90516884, 69238269], [35316626, 17471684], [25202085, 95973077], [24153910, 19334286], [27797802, 36534682], [68616099, 19496678], [74024717, 52340324], [37564601, 27571741], [26462174, 38050854], [64431984, 45590803], [71015634, 37708202], [23816865, 73958955], [20249027, 97402202], [5080488, 12430311], [12886165, 3406375], [45452111, 18911443], [31962111, 80482413], [1263942, 84706760], [8317863, 96202379], [25697268, 72689356], [71977505, 99937251], [19542123, 68203856], [58832102, 34843112], [78763487, 85486198], [62981168, 18414594], [21619985, 31861053], [91278136, 1953421], [85016463, 7823662], [88146411, 469619], [67048761, 77918276], [99593248, 76844871], [7478915, 11982904], [57943320, 16057332], [19180363, 28816392], [40020672, 95559102], [82976368, 58807916], [93181388, 36943776], [61152766, 24439428], [35591577, 79332703], [97256563, 83018868], [71356049, 7867393], [61520038, 15440921], [88575483, 71045727], [87603868, 71847249], [1949388, 96435425], [49162159, 16528853], [18453606, 64217217], [46530282, 82560621], [93581441, 15380794], [15857955, 67815928], [12524911, 59639712], [20774233, 47626228], [4779366, 61448473], [52845817, 47904064], [98322818, 42335517], [27018814, 73178887], [27237607, 38586578], [64771410, 81416064], [77132164, 70242875], [31589392, 95170524], [49148510, 80601724], [62825598, 62076386], [67613582, 62603539], [1747218, 71026091], [25675713, 66597791], [78078487, 9852879], [50638432, 47831195], [648334, 37571114], [83947208, 19561053], [67428964, 61822900], [57702076, 38858735], [25767614, 21367052], [7938024, 84644815], [9201897, 71387986], [86825608, 56930604], [28181651, 68731877], [4173556, 11181811], [88871532, 31040100], [98734047, 14672227], [38027629, 29267989], [24285452, 54551158], [93823474, 21763538], [28872527, 30232842], [76936812, 76774004], [52782421, 97071021], [71360305, 48881770], [7904729, 48919457], [91150767, 34688748], [80740692, 39721268], [52533632, 57928020], [16325067, 52202353], [14932583, 6286426], [31383324, 79772961], [16323482, 69405626], [95874871, 20001758], [27482620, 62362002], [73540078, 15865558], [60211556, 10926227], [45700288, 5721954], [14266294, 81515901], [77562028, 7006464], [79562185, 61683007], [34876713, 36837318], [4611173, 55484743], [14412788, 62944539], [20066184, 3892421], [35759428, 52030830], [76979294, 67324496], [4912942, 27820300], [97030143, 97238531], [49693861, 72454532], [51007242, 4642129], [71717034, 39603313], [58886837, 10169698], [9382813, 97475699], [63769433, 17846269], [90449599, 68622619], [52302287, 70347557], [11068282, 60025737], [95825388, 49366738], [19135034, 28281328], [68418534, 42684509], [36399802, 21208420], [98666517, 29958720], [7096094, 13292474], [91670451, 51695064], [60771185, 67586088], [64558202, 57500860], [23484109, 87133930], [44603193, 5803647], [40960122, 55128598], [80630418, 82904227], [34370832, 27736514], [42859016, 16024357], [56448168, 46421338], [69846030, 67769792], [25242392, 72962024], [30454568, 2275154], [25367879, 69984533], [67831641, 39379046], [29737190, 48866502], [5246183, 87433537], [10507170, 24765890], [16533527, 43993069], [32610216, 85901962], [33057271, 75235169], [32230178, 27787341], [38695713, 51392994], [72414700, 67633862], [827415, 79953424], [210630, 52591298], [90501326, 19702728], [60965090, 33686190], [49414296, 44158349], [89498288, 42237436], [14863461, 1548661], [52245672, 51972866], [56479396, 45347579], [75909762, 21006699], [34511773, 90706899], [87230287, 46801812], [80977917, 1285438], [24077944, 5322488], [82277170, 21574880], [72775158, 20047129], [21175276, 47988455], [52746775, 12578005], [40494370, 31166505], [93271105, 88374280], [36482253, 20412358], [45365259, 23264026], [29974296, 7127531], [15404459, 35728520], [91426808, 23412278], [62062337, 29621933], [73934345, 93162348], [48940855, 33550917], [64324254, 50594832], [36934512, 68124045], [79898142, 44218232], [69957163, 85365356], [79814377, 40175470], [45621167, 5476712], [13775975, 10341067], [35637618, 48955491], [69632157, 59630665], [83773829, 17820433], [16266440, 87355065], [12997908, 9181827], [27753024, 9947029], [99926313, 62330567], [36010126, 20769936], [89593301, 68280336], [15440810, 84476304], [25483102, 22685605], [30007631, 59694736], [79758705, 12037969], [21753043, 80696795], [74257389, 21348859], [25549677, 42819496], [78316190, 12957342], [1054064, 73945334], [727184, 23622731], [68984484, 33892271], [86461359, 60037289], [5735198, 72355070], [60754350, 43635631], [49815223, 75458685], [65120040, 39337961], [89904156, 26307291], [26850915, 90377884], [23058835, 63473259], [27248977, 86964063], [71254983, 47876988], [28441507, 85017793], [94725986, 72817101], [1463353, 53384545], [53395836, 1343243], [38566295, 24335141], [77155160, 7926454], [80099701, 78362453], [73399493, 7462449], [82156099, 78401199], [20117108, 94451676], [95203196, 77422090], [62639144, 52471223], [39901556, 70413850], [49913552, 72187035], [70757250, 50052528], [92120143, 2247186], [45086282, 37225204], [79314492, 58014685], [83082886, 48428715], [22886280, 40969738], [96488516, 26619619], [44311480, 89818775], [84857835, 32094875], [98116166, 78862502], [69526783, 87202929], [23166828, 60114842], [43727763, 1583975], [37839192, 69577945], [84692718, 90153505], [263513, 22447433], [86356708, 31994280], [98750977, 60089934], [27811384, 17069594], [37754294, 13693867], [9441003, 97042922], [79095339, 81113543], [37153117, 50563927], [26124064, 35936135], [73672194, 83372110], [83006854, 18923075], [54208977, 54707705], [92280143, 73189938], [21069247, 58514827], [35638448, 27406499], [8447059, 95004561], [64963158, 3878801], [99758563, 73303344], [39011711, 67385000], [34300119, 44841407], [62734672, 94130348], [41572971, 97245638], [95715903, 59410818], [73813814, 99348077], [50241576, 21893105], [96625665, 53494625], [5258287, 87316262], [2534647, 87912685], [47639916, 45653156], [61669321, 40867482], [97118550, 48384540], [80493401, 11572824], [11829978, 19995260], [42690354, 70734975], [17207066, 98807138], [98766344, 60466120], [74669907, 48915691], [19255346, 10776853], [62576108, 22018333], [7436667, 45998550], [91234243, 58074864], [33938864, 43300661], [17305012, 5229960], [71861551, 54611325], [61603962, 80700109], [49788571, 69380905], [25929173, 77398798], [32643286, 10187410], [95265180, 26965156], [81439215, 71534582], [59365062, 55010569], [8526899, 15979704], [7848664, 86266770], [42282667, 55719921], [80555309, 52349585], [84481193, 65870396], [5209410, 92000609], [1846227, 9753563], [25006417, 21120732], [30186668, 66476751], [27129117, 3386455], [80406762, 87333998], [35085487, 27131130], [75042550, 7875860], [61150593, 2749496], [11666805, 82417594], [97071323, 52431948], [29354651, 71895795], [11226018, 67535074], [79540664, 85146784], [37844154, 62907760], [97358725, 27703080], [61152222, 51299527], [73835336, 1073067], [38932551, 52579435], [82758973, 73301938], [25149586, 94154015], [31294713, 56728413], [6770579, 34376173], [94124908, 82746430], [51139243, 64760619], [78170662, 9372013], [29306083, 95177189], [49872545, 85171648], [82637134, 72247047], [51926577, 28044483], [37863067, 72469934], [92448098, 52334431], [56109114, 61122242], [52618802, 78207359], [23027512, 51524013], [11922501, 37059689], [97925227, 27134597], [89634388, 91854425], [8756921, 60580053], [97766346, 27272092], [14250102, 87836653], [30629845, 81022511], [79799805, 62651892], [58512500, 86125646], [57054933, 2686244], [22913913, 54899408], [81840799, 29762337], [76047023, 97385669], [51432087, 37571054], [66261527, 49366827], [123303, 29888504], [25336582, 17791275], [5813707, 21313890], [25271594, 26830399], [5710059, 68771003], [45408073, 87275118], [50213025, 87001327], [31092223, 69572882], [10347220, 20130149], [72740175, 17961921], [23897910, 8130072], [15609516, 94629697], [52300321, 48339970], [98166019, 98417165], [50671563, 85766471], [78137886, 13916936], [6996815, 39147713], [46350284, 61980542], [34459710, 67073253], [28766801, 34438898], [10128656, 11383978], [38479492, 96002990], [83213353, 41206975], [95436458, 98712237], [68220577, 4214656], [87311205, 37969255], [39921201, 37941000], [83375664, 73363443], [36432826, 70013334], [65895797, 34789336], [34009921, 51387471], [65315825, 35454135], [5643274, 90274493], [68960753, 85785161], [21346488, 62388889], [70979277, 31407019], [23392833, 65730644], [1629631, 15553101], [36357180, 69945568], [59891068, 49720786], [68730163, 77674539], [77206988, 56936449], [41393069, 52056090], [91376903, 80218706], [79013749, 46806401], [78423203, 14198360], [29456420, 41128270], [13763272, 63771480], [90648859, 2046170], [84433951, 50060145], [64601100, 81484719], [6867596, 19401736], [12954035, 86083041], [984909, 58767483], [6141313, 20483747], [34393317, 85006184], [39083406, 35495433], [96136807, 28527402], [22762914, 65050465], [17493371, 66377844], [82228957, 56710108], [40512714, 82446529], [31222068, 50108677], [19569458, 73534696], [4335733, 88238694], [65517704, 85749457], [78290286, 39277748], [12313606, 6198802], [33695282, 88751206], [70742981, 60209318], [41233538, 42106432], [9123650, 1557812], [88307639, 47236128], [17451262, 72648619], [91714133, 56131337], [46150452, 44904102], [41339948, 88516136], [43470561, 59714839], [28404620, 2827443], [19667814, 80641729], [13228418, 88475726], [38957453, 3596421], [99329166, 61973925], [75714146, 81819264], [21606010, 15650248], [17861330, 33958271], [40933518, 65403965], [72826181, 16244034], [70053721, 23138266], [53660308, 46553345], [26776486, 79598334], [53755060, 92260324], [49295245, 7815444], [58170695, 86887515], [63759911, 23816397], [93586361, 40110362], [82893425, 51297174], [90007272, 977557], [21894522, 37072971], [32339118, 31220454], [87385613, 59938412], [11479298, 35448352], [60051924, 31188583], [26923645, 83718426], [24878037, 69339833], [30412838, 46472602], [22743061, 96017950], [13437, 208514], [56861587, 4569046], [21141855, 34190273], [36684966, 52840520], [86733337, 67061918], [16923056, 96216515], [49094054, 5711600], [86420691, 74497123], [76288584, 70190857], [15760371, 90951131], [35373591, 47527469], [15892346, 31359322], [14971402, 89835941], [70040750, 24675744], [67468371, 31207992], [200494, 12714747], [34672060, 85384811], [87442876, 44920090], [10241270, 11360804], [2909466, 26480864], [97992508, 62199174], [71938005, 28446402], [23869576, 67883470], [52830214, 92000243], [75749284, 32573460], [46315859, 6909098], [39885226, 28328308], [88262255, 67966708], [95659056, 52417618], [37789305, 64441253], [99992840, 44576486], [24731642, 636076], [61587181, 28518176], [70793035, 62550793], [40379708, 10446422], [77507665, 69275606], [41792270, 33334550], [3505459, 44455740], [82269089, 50384904], [10322694, 56242947], [99760890, 65681285], [4998441, 64122326], [68613786, 45710670], [82303600, 45480827], [83932606, 70295960], [72119171, 94723600], [42961329, 20862338], [34528052, 9796018], [73249834, 23292744], [75850830, 14645583], [28290297, 14787312], [68540672, 18874029], [45007385, 32999998], [82333360, 15751208], [89280412, 10375324], [92461683, 68083560], [86648435, 95417220], [74322709, 56140887], [97901252, 58120566], [83450874, 23617392], [53293443, 76640056], [4799620, 62143874], [34461356, 5093580], [19656894, 28271297], [50328021, 82198973], [18046942, 80690809], [47744108, 83075828], [54015860, 23533578], [95292273, 16391760], [75284315, 59702134], [81900506, 13580551], [74589085, 4478719], [50007578, 39228530], [67254283, 16005451], [81693579, 28462019], [40096671, 65653636], [95753391, 27343827], [80947025, 24624163], [83407312, 7712443], [1509218, 1408698], [82216246, 7101330], [31899007, 95344893], [9143466, 65057030], [7060229, 5018110], [30927428, 63077271], [96451304, 80794186], [23540773, 91919653], [93091785, 50055163], [20461141, 23756831], [10473304, 74674870], [57978036, 14163342], [14925674, 30546157], [75017973, 78585498], [13263720, 85123925], [85449797, 87350159], [82393757, 70590069], [7613934, 98605176], [50920419, 39688865], [38694497, 41135067], [55255205, 79050954], [68373309, 88386521], [71982840, 12736614], [57588031, 39778608], [67532627, 54377016], [99211523, 90772927], [81509758, 83144488], [91755848, 66195370], [9608475, 71551213], [16456042, 23145169], [84315237, 23663811], [66314317, 59651394], [24919178, 24317088], [65130275, 33735356], [45705372, 33959186], [54007722, 65135976], [30645799, 19460753], [11107215, 636925], [97073893, 17841655], [11003727, 38486535], [13043161, 2636845], [1774943, 57807904], [37939974, 68825584], [21382563, 21669871], [83105468, 53171236], [14554067, 59147246], [75949720, 19763608], [29175675, 61729055], [98276441, 63231078], [11943263, 9253946], [51758104, 10198450], [86679766, 80279603], [26058853, 73737740], [23856427, 11229234], [52271865, 70773524], [4258594, 45330478], [88487019, 55195957], [58812782, 85371166], [33674401, 5071991], [52731520, 27874966], [27501716, 421651], [91009456, 62913185], [80047106, 78748529], [14134175, 2081039], [20286448, 56496351], [29213617, 41116866], [98365, 93720841], [13670973, 41234419], [43916255, 47726144], [26232554, 70843107], [59864254, 11487820], [29276881, 49905661], [21516799, 31538019], [40592128, 43056157], [89286285, 52206919], [75338680, 6480974], [43003985, 8280461], [3192915, 17257505], [88353892, 98372816], [13970064, 47034120], [33389134, 92821955], [89533050, 5112074], [48363012, 40047131], [48098603, 5713154], [31846394, 37347236], [49050147, 34968955], [62590687, 45275345], [39944424, 22887294], [42718441, 99900299], [87995620, 75048632], [96565849, 73080799], [27869468, 67040399], [74613153, 58749177], [13759255, 6834768], [20670503, 7648975], [98885665, 89194163], [6226921, 7221067], [69774348, 11326691], [74788450, 55191915], [67457280, 92741713], [67151095, 89768606], [73971167, 85325545], [44374238, 76554217], [82453839, 4451185], [87499872, 65016012], [43772226, 48416211], [94661492, 34481750], [46895184, 62618949], [10874463, 22992528], [98327554, 71354163], [97245826, 18566158], [96110793, 75429087], [14973978, 72120213], [13256326, 74183585], [80682535, 92562883], [69322127, 11775374], [93010435, 71291935], [20226148, 73806908], [9916813, 72837310], [68966895, 80026612], [73314821, 5017957], [1734120, 39826625], [60476456, 59251177], [65681591, 62351562], [21442190, 45290799], [34232454, 93906047], [53167871, 17638528], [75025152, 94976625], [78938491, 61825316], [96651702, 12761572], [66080299, 52173904], [47840342, 83621319], [46516522, 77931148], [29974757, 61563759], [63346854, 56685381], [24824871, 48161341], [41321342, 76779321], [68779262, 51301418], [8881224, 96455935], [25887826, 17976367], [90470576, 27883310], [8922649, 81060896], [52215624, 52235229], [63417886, 4490361], [59516229, 9592054], [6137465, 401447], [31491051, 17070882], [81295833, 54517157], [34618329, 93062894], [94094192, 51642572], [4905724, 34345922], [97186966, 65494355], [75235326, 63745269], [50848437, 40389356], [91079849, 79496529], [33628004, 76780433], [23371888, 48105315], [26927922, 42048830], [78737855, 20497920], [4475081, 12962038], [75876204, 57598106], [65771881, 19219179], [56316567, 30158494], [14652749, 57708555], [90693507, 11332603], [5230464, 78857318], [1021602, 17342069], [10623895, 77789871], [40827887, 79110152], [37647477, 39894252], [95810810, 61001110], [27028457, 88782548], [77975103, 54149], [77999120, 87436073], [22374590, 32041663], [97798562, 54237951], [56143728, 14380003], [79984311, 74104638], [63319417, 17942789], [37354431, 97278913], [21490468, 48343023], [93473681, 19549911], [15616583, 96391789], [95941201, 99523307], [98901569, 79336224], [52692588, 90356723], [41115153, 40362004], [53540637, 3442638], [31478204, 32389813], [37543347, 89216020], [97143613, 54763447], [30732159, 60858692], [73663717, 66305781], [61069530, 82643581], [55727760, 30655783], [45852197, 79026003], [21034995, 7197733], [54302091, 92247206], [82003185, 16450440], [13127251, 351528], [58882969, 78626173], [8923493, 34435576], [54754179, 60243942], [31845783, 66634198], [53148207, 40760622], [96917524, 47969740], [74671940, 28343467], [73933664, 10653593], [82435286, 75382082], [52885855, 62331769], [39416438, 72824678], [4232560, 93828213], [76454593, 96212507], [55287826, 47965451], [69726022, 64598797], [68901057, 12501829], [30425403, 75026546], [78488503, 84075568], [32247061, 99996478], [34437917, 8343713], [35722115, 54509751], [34654502, 55199023], [82606664, 22808873], [10476369, 716555], [61603921, 25455708], [1223769, 13596614], [5464007, 87679482], [41694224, 46710611], [79833282, 42686278], [28273195, 17354281], [26329473, 8582522], [21172762, 15846434], [16970850, 532446], [49089298, 55530725], [26131131, 76166793], [52021959, 48253955], [44803763, 91620021], [77615972, 59083478], [22202703, 69250851], [68983724, 46195989], [61229338, 82733683], [91801949, 74748920], [80372412, 25426547], [84946473, 26413904], [39392667, 43141619], [69821156, 15268615], [47174658, 91636144], [78836444, 27195344], [2508879, 5019350], [56687317, 51929501], [86109782, 99567191], [89841153, 90731590], [35508470, 6197390], [65534156, 9888215], [39018668, 85153424], [82640100, 62240778], [84312320, 9963511], [14634482, 31041189], [57319470, 10327093], [48556888, 1043167], [77403551, 50186063], [76235396, 67778734], [87272401, 98107404], [37085610, 73096552], [74103406, 7492841], [17093972, 98121673], [81929426, 25360869], [19751390, 97310294], [9771858, 45432222], [41535710, 15277394], [9521231, 76928161], [4364457, 5603802], [37173493, 43490485], [3246797, 33901436], [9818107, 6551788], [8673648, 49163202], [4955889, 42303280], [84257475, 83307254], [12342715, 64896460], [88557434, 94745854], [35537188, 5847975], [41008901, 40413021], [2748164, 4578664], [80843965, 80139079], [43706607, 11350258], [60249081, 30068945], [79803887, 79736835], [48018265, 25212412], [46085670, 78089980], [81030436, 22417593], [48433411, 61401426], [74932123, 55105046], [66340979, 43489837], [58314035, 59108034], [39407077, 84781002], [67724264, 31958399], [66635683, 51385276], [37548261, 86477061], [15844938, 5586354], [92951531, 51454832], [45719398, 22658335], [66429463, 81093912], [52044952, 45175386], [48139366, 1292533], [48831210, 78984940], [94874867, 16726303], [90425075, 24829185], [42425418, 18393128], [92627938, 56095995], [85976824, 38356197], [65029176, 10083709], [54973213, 12411319], [55531142, 21809021], [74395878, 68684615], [7570622, 87580997], [31605319, 32766201], [62284214, 29661117], [5804388, 34102257], [21173749, 47202934], [17578303, 34568210], [14315367, 25006674], [79822908, 54143671], [7161039, 6658538], [64498593, 55089553], [30772080, 77751567], [23417294, 35646553], [64429108, 56610363], [33674694, 97557791], [32482845, 50048863], [76024985, 51588613], [81675620, 40724563], [90351381, 94116450], [46621724, 19024996], [45524065, 22765181], [77184748, 67704701], [63999353, 69551496], [58663980, 14959009], [65038229, 91491225], [73516339, 308975], [59589127, 65409353], [81897686, 80298492], [57179512, 85762840], [30563044, 50396296], [56113639, 92840622], [75338773, 49551941], [68391067, 75567725], [55268615, 3807381], [60153610, 11089951], [16144877, 67288936], [29004369, 68043353], [64410778, 51632113], [43773559, 95234616], [77905368, 64169023], [93031082, 73073641], [75601806, 13138106], [4310007, 54401336], [13487140, 59683687], [70376382, 59848972], [35145227, 51945375], [58636734, 89665421], [25977841, 18210961], [13558128, 26431732], [47150801, 96324512], [92677373, 4517921], [65249172, 11853084], [12902944, 76620123], [95143091, 35513127], [81819194, 95251038], [80364511, 73128969], [70595465, 76217152], [769423, 1673196], [87921861, 49546494], [53642960, 80642288], [62525730, 58789938], [48922325, 40011191], [53244664, 411065], [14611243, 74578960], [63431231, 20884771], [87847670, 13271551], [31677760, 67499459], [65364999, 13077161], [54797241, 61939059], [27871008, 28867487], [8063956, 69896369], [59980523, 27714404], [13058016, 81993375], [48710845, 3721142], [85302534, 7311969], [54767425, 99526354], [7700473, 4720301], [32277748, 50473931], [19130720, 37268549], [55909947, 69168771], [67892127, 38230963], [4810401, 40857888], [67288350, 85394358], [31255901, 11123183], [17493266, 61172573], [20553032, 58521935], [20428707, 18361922], [2868412, 47242095], [84820334, 65627670], [38794010, 60267367], [88540737, 70889962], [73340504, 65344371], [27997291, 16684068], [72382650, 62253774], [35299319, 63531832], [28692015, 46499368], [93971081, 31133967], [93176074, 47412485], [46783950, 50341043], [82350819, 82799781], [5798664, 68447942], [74947187, 47315111], [41157099, 25059804], [65246196, 1162367], [44819675, 60675374], [25135528, 551565], [90127881, 13400789], [79930228, 79941915], [24697978, 58900963], [6149756, 80877268], [23647216, 37107271], [94879893, 33140210], [83534325, 61916813], [50693774, 37135170], [32769394, 94704915], [63900935, 24704143], [8244926, 25716612], [41559638, 45004828], [25594772, 18254675], [57977668, 54121279], [39888464, 3747749], [6129174, 66757432], [49327178, 77062395], [82199294, 49220326], [8486457, 22501132], [94401608, 25761529], [5639203, 14556926], [18042305, 45963762], [63586667, 87478755], [84534100, 37417296], [14510137, 80826900], [7613545, 20556009], [81045042, 811849], [86640136, 42292760], [14483881, 49362645], [67013064, 22390156], [40710145, 77268249], [80952056, 88238291], [29791410, 18808923], [41536264, 70386472], [91650439, 61461495], [47033610, 52284317], [34801393, 30683864], [1053180, 82204838], [15934271, 25065633], [75426055, 36756522], [73679911, 32826747], [44018942, 52331328], [40847011, 47204870], [90419687, 30138845], [11458631, 55680262], [59522601, 29005161], [81484929, 59480932], [76184473, 69273263], [26746763, 24647695], [28808142, 11189883], [35639769, 72601371], [93115965, 28413289], [53733432, 52344627], [11619004, 34081119], [75837576, 15133651], [47361538, 65889], [10494574, 31348162], [96507248, 97501983], [50650890, 48294250], [35375369, 47330783], [36096564, 21476868], [21815956, 62807730], [30365798, 51162782], [71157610, 39209829], [52195101, 28873437], [50794441, 97041756], [88117890, 15167194], [16113936, 63937913], [64615939, 84027553], [56954790, 74196982], [56220996, 39777892], [2433657, 25804191], [47962273, 38413091], [48624500, 6254657], [70614370, 51230457], [11456702, 15098465], [71162761, 22757709], [79024269, 94256009], [3933927, 62996700], [79292382, 88390107], [48143628, 35547589], [24398185, 61812472], [57180192, 2130076], [32036330, 48371670], [45246347, 88686261], [8625931, 37471829], [80259131, 23385524], [13318756, 58718607], [36067742, 38633243], [59800412, 10135812], [66684368, 45134863], [76580364, 47583323], [25571389, 63072973], [71911268, 61472843], [38719495, 97096421], [82848508, 15386580], [67242401, 37625859], [44935643, 4795332], [60602284, 136853], [13154552, 72019597], [96098983, 39335585], [90291942, 33313323], [34392203, 38605041], [76013008, 52264700], [73364908, 3321279], [19297857, 82613606], [20354854, 16308025], [32231361, 73627734], [54551652, 16818001], [45202293, 81681665], [80221850, 50864121], [95999710, 69968424], [40028841, 54689731], [65283326, 21005089], [3340623, 49503687], [60749521, 27384437], [63779067, 73470066], [56205887, 97700077], [58375824, 49775076], [68487350, 9674420], [19122623, 43894657], [64362783, 28718301], [87217716, 66382045], [27179486, 60745404], [97248234, 27646444], [71747514, 2265804], [58724726, 58793026], [94272220, 34643968], [51924192, 23216276], [68329999, 52356677], [28205215, 57415589], [49778249, 25580547], [46032247, 68191791], [22909696, 84987573], [39517767, 66855961], [43756126, 29739945], [43929738, 51844641], [77653087, 38249614], [96125240, 13615361], [34896370, 67262984], [14532101, 32974662], [43983815, 36857392], [65307918, 80671824], [21846230, 6356233], [76106926, 56626030], [85840942, 83161415], [31308550, 67387437], [55805999, 42088047], [20752705, 87453795], [30535359, 93188693], [79805534, 98245518], [85677093, 40896839], [90108178, 56991821], [2930041, 92308285], [809578, 49791437], [41462124, 19104239], [5137977, 20550112], [17694742, 99476515], [74912688, 9648945], [87628601, 87567782], [99247644, 86488047], [47984160, 31101570], [51895764, 42021161], [83545953, 72408299], [94118633, 91903269], [73095322, 4173879], [97836337, 14353067], [3703322, 18728530], [20638401, 43725719], [34272345, 72698847], [23478015, 23713256], [54065895, 95128590], [62077618, 43899351], [26428163, 49386934], [17008153, 22645740], [12481680, 90734795], [87570693, 96242684], [16423689, 61803350], [34056365, 59765618], [5745106, 28274445], [8362645, 68033199], [41086781, 40902648], [67074688, 31003533], [20079966, 39835821], [40414230, 44057454], [58930622, 40651159], [38924024, 136438], [50694735, 38752889], [98962421, 65835058], [64651969, 49215746], [82301091, 89687164], [7549954, 57486928], [97503095, 31963447], [12409611, 34189983], [19081402, 96991363], [45487732, 51037962], [7013230, 1000250], [17883431, 24883690], [21123825, 40811417], [23824280, 25716430], [91550442, 83959458], [20456938, 22571296], [56605344, 24296444], [4214964, 91707102], [10268891, 1069290], [89898336, 64522748], [939125, 20038846], [26359410, 82330759], [87678479, 55324062], [83835387, 99472328], [80205266, 43043358], [27278175, 40082358], [31553219, 7123921], [87220225, 54353503], [49173045, 54442522], [36849563, 82461711], [25385054, 87593823], [73963763, 7808571], [31217274, 6454998], [92286605, 29698540], [21482243, 6662004], [72994709, 3389282], [54423796, 22902821], [71704896, 79500404], [93618412, 32395802], [50622747, 60624975], [56357031, 35601050], [36030289, 64116180], [85834701, 32688126], [9048599, 4498376], [13458020, 22479369], [79719662, 73455611], [96502324, 41822789], [66903265, 39133796], [45187171, 69549902], [55092744, 63888176], [82218125, 33030464], [56594741, 9628180], [15487966, 4240826], [43258234, 44761915], [23182435, 82748643], [33126162, 81281875], [68378212, 57058247], [9409431, 14332646], [66608230, 41118390], [45239836, 12397925], [39324538, 66781229], [46340974, 96820893], [90787244, 9733791], [31867462, 86113524], [19612513, 2483913], [58438162, 8229127], [3639160, 57551555], [4142639, 42613847], [13595306, 37396716], [80888423, 22303952], [42933186, 92396035], [72271558, 48048933], [90489318, 31870718], [1685039, 94439150], [66846925, 65352899], [16346620, 60178391], [5889673, 43017551], [77683774, 9783148], [72000978, 25595576], [30807740, 39235680], [22662392, 31600289], [56697720, 17529759], [80364577, 58486645], [12179917, 26593959], [34012443, 28292151], [30508249, 7578438], [68634174, 77736207], [48995881, 49467100], [99239669, 10194101], [37993670, 60850626], [79452816, 48083225], [35751749, 58274262], [57819293, 98329203], [35612537, 26801633], [76890790, 21798069], [60124680, 11348898], [7590267, 28379033], [97365110, 50346527], [55532879, 39504351], [17342319, 65359018], [29819897, 69054167], [98379373, 54606991], [56014452, 11604241], [54958017, 76373019], [4575065, 73456723], [63993398, 30309341], [29380781, 85320843], [4296310, 15004317], [24276591, 13643535], [90735488, 22963810], [74298498, 43272037], [49175611, 15091522], [54423315, 1034744], [70560564, 17184814], [44089346, 79868668], [58490255, 19010097], [30199723, 65685697], [46331817, 84349548], [34688753, 3482960], [99123218, 47474486], [72870203, 20681456], [76341423, 8376840], [62949798, 48318062], [37659401, 35610429], [41023225, 25730962], [68932685, 96376677], [40618984, 47250459], [79949634, 82234024], [43843867, 89878361], [71099960, 81357259], [8136058, 58572747], [14772772, 67633818], [7505284, 82295717], [82114907, 11727234], [23268292, 12790983], [30483966, 65541425], [12905751, 46833742], [31761383, 12690159], [47836106, 53509352], [7088537, 39671022], [82659646, 60197726], [9139492, 11003390], [12896632, 53864562], [63684100, 25141478], [38245798, 64100206], [14419574, 80187198], [15772895, 84371361], [93739939, 62495375], [2613261, 34142701], [51440899, 61180864], [60721835, 50748795], [27568268, 39907963], [60630302, 41513382], [58523722, 79343443], [99158200, 61750129], [5574451, 61464850], [22991264, 41894222], [94413230, 28085456], [175480, 92705082], [55692444, 15474032], [2390583, 19056637], [45555611, 58999150], [21095085, 8702013], [58920386, 17034755], [72142295, 43481831], [20491775, 23693770], [64127643, 89953417], [3458604, 48162795], [52160834, 57240992], [79545869, 44607646], [83798399, 69262415], [33137367, 88620610], [240383, 60841504], [33926906, 85630898], [88005709, 54625290], [5101315, 13591392], [83645320, 42241482], [2074371, 18426238], [542142, 19258188], [60720092, 85607864], [43860782, 75331180], [51744181, 20196541], [93386781, 81042122], [20496370, 40884281], [22430138, 71435980], [70574032, 51822555], [22034938, 82141276], [61809847, 13142525], [69185221, 15935416], [22091874, 43932125], [58889930, 47518544], [72306602, 18311973], [87670786, 32563681], [26468429, 52880295], [88518198, 61049993], [97654559, 20964462], [15415693, 63607133], [55834506, 49068416], [76990542, 27525408], [46238188, 45133631], [34254963, 54661074], [55482273, 60478652], [72187785, 1992611], [84912638, 5035804], [65089462, 47619753], [77244954, 76653235], [27594319, 63089347], [19076032, 55277885], [20554176, 63443443], [73051928, 70978122], [7794478, 33007656], [79449259, 3130998], [28699314, 62368518], [68336774, 52752231], [659601, 14228792], [30465392, 84698171], [72848461, 32791231], [34318306, 19052160], [52326589, 7098430], [21242920, 8977906], [6607351, 61171355], [12166378, 39544559], [32470365, 49763219], [77918158, 44757053], [70999954, 24467303], [18448110, 19473898], [31961575, 77933391], [54162976, 10793755], [33161916, 33605054], [53407070, 51452923], [75403987, 5550030], [54033519, 21626602], [65996640, 72279423], [61247843, 85632028], [70978127, 48842696], [88026356, 11718862], [45869896, 9473157], [70031843, 56425552], [52099787, 66493383], [54712144, 39762718], [70666763, 80895191], [85996894, 48753175], [22703749, 61075664], [94479870, 95018483], [92741018, 46464316], [29028635, 94092789], [47038790, 98546459], [2113121, 81392552], [3656443, 48728726], [8744268, 28969798], [11074188, 92656299], [13509239, 21095269], [75597097, 35009658], [50825834, 63148953], [58705940, 34551636], [32932318, 69216295], [1893034, 96113560], [79013233, 24709921], [14827691, 52280288], [44508378, 97399153], [739900, 41320822], [42327156, 85199935], [4992164, 39895560], [44839448, 9076156], [9632204, 56999956], [1132018, 72286906], [6434795, 81317812], [62858345, 84937973], [1422499, 6491318], [35756600, 12361649], [59095596, 60000999], [26380234, 19810448], [20254994, 31320817], [87068175, 47421275], [40086476, 47854128], [59859957, 2426242], [23761208, 29667183], [73253340, 55192803], [61580752, 72759919], [86411014, 57335694], [9611043, 94316805], [44742157, 28138961], [21234066, 23460441], [45897553, 37831696], [53014537, 96204005], [96136122, 7017179], [73867345, 95285497], [44057069, 76032212], [46548199, 19757368], [94284580, 37941144], [22489500, 12642112], [38664420, 47507939], [34063319, 2592366], [94778190, 86476368], [30542961, 86837014], [96216098, 89951058], [79609967, 74646916], [91808428, 78970299], [6078023, 79626760], [82937535, 81922688], [7346000, 7952046], [85009603, 8967034], [23262433, 57416510], [36690306, 57319331], [67597133, 85367521], [99213256, 74849738], [86850365, 48328653], [55969701, 5396387], [45631484, 24990752], [75653829, 79608060], [88865, 18599064], [34352800, 60082822], [36308570, 50883093], [64838109, 47947346], [51119111, 96881161], [39471460, 45519760], [16631625, 95322309], [94512946, 29306197], [29273219, 50521401], [18661018, 46160331], [27764680, 51075500], [86709328, 94110842], [16477612, 78694316], [71924332, 19900366], [52488788, 57451601], [73562602, 50373550], [23929939, 47261916], [42796927, 97538039], [58262291, 30719158], [72212361, 58849477], [75839682, 47134633], [99289437, 99042508], [42400955, 87388661], [95058949, 81430597], [95905316, 597739], [67838049, 22968884], [12851438, 24363948], [76410918, 20308551], [42161464, 90193170], [63036250, 15028715], [28745687, 38661999], [54870118, 82142766], [92354007, 87161407], [7616358, 36152836], [34164622, 94581470], [3079933, 65036678], [61230459, 18106732], [20180830, 34415866], [93264707, 13152367], [81338573, 99452099], [4779305, 15469300], [87086752, 31626], [17254734, 48772004], [93604047, 48347450], [79241565, 96445100], [94992774, 22805729], [7451316, 88109539], [19240197, 25336565], [60942572, 31731796], [43931760, 96416036], [75271998, 11932937], [47186317, 79561279], [46765458, 89327836], [31371109, 95611360], [71566559, 40952833], [78324233, 56565905], [93217386, 25992362], [23686652, 30311946], [56442368, 85533437], [14152302, 62256110], [87496585, 3217282], [90246085, 92557425], [98061238, 25215672], [72376007, 14247688], [18802432, 63077787], [84864677, 61591232], [37555792, 57765798], [79257418, 63576137], [39563168, 15877194], [88183923, 15516310], [92617496, 68493103], [8042801, 25289295], [96007950, 9706659], [13849091, 13494036], [74897786, 12756248], [86419851, 32669634], [72442172, 48529302], [51683412, 21644041], [33872070, 79723607], [44550237, 28630584], [41097181, 8905596], [1124080, 98872739], [61423, 14469665], [47483794, 37432202], [38152496, 35118660], [1667583, 89939339], [14603442, 94300545], [14260244, 50927622], [99285941, 11097966], [60047204, 15704452], [99038420, 55547487], [78109044, 31799481], [75624984, 30054089], [52495399, 26031034], [20108676, 47054521], [59130216, 76102196], [55513351, 19662647], [88718004, 63681089], [44126869, 44011814], [83762458, 95131066], [30320639, 24275753], [92382144, 85196468], [52889507, 44249735], [56110938, 41055617], [13896217, 77819575], [23370934, 50205575], [92907582, 87267619], [3460303, 45361481], [99914939, 39326549], [32850696, 58136320], [87766679, 3887588], [68007431, 89649746], [45592910, 51239117], [67492709, 71325530], [76658376, 63216307], [77521974, 30299359], [72381744, 67931769], [4621135, 54462189], [64295415, 90308066], [44801326, 75858038], [12024161, 4062086], [82146464, 49335099], [85715120, 19588079], [21938255, 97265445], [88089691, 99282806], [2558399, 6176533], [67254788, 68973882], [46539780, 67026008], [88401250, 56132993], [59155233, 51954865], [22534406, 77166687], [94721666, 39946302], [63658510, 99455204], [21118264, 18823571], [92941158, 82104535], [34562499, 60753816], [15636466, 25934856], [55420245, 50576917], [49691840, 37342206], [9441213, 36025684], [96748867, 24289126], [15210220, 12755739], [90278117, 5598756], [92555132, 4414731], [3416339, 65636132], [88300274, 70635240], [68080553, 63403691], [14679159, 18547883], [4353791, 53693195], [74971646, 16185433], [3647971, 19571790], [43348380, 43256126], [38806161, 67667867], [7963454, 10222188], [93039230, 92561245], [51590761, 69936590], [55661796, 20993834], [48224257, 20460741], [43877188, 98865482], [81325757, 57107229], [39811601, 56065257], [11458288, 36437440], [47235495, 77531341], [48762029, 16528480], [61400131, 2281855], [1169737, 68061481], [93719237, 21260062], [71944726, 15088894], [54685137, 15661111], [80024764, 91014368], [57795482, 94313049], [56785569, 54512756], [56444784, 80006574], [48113152, 58698044], [31543532, 52319595], [26553757, 71955705], [11335879, 94193753], [81012587, 52640039], [68342816, 82868534], [93315828, 87902309], [83543506, 42081654], [44782410, 58834604], [48810572, 75581824], [86808186, 74269186], [8953964, 36212729], [24555177, 50362769], [28923049, 84367601], [64785614, 15112913], [98898660, 10728818], [39580410, 19617497], [77426845, 18378819], [94223631, 93718388], [45893230, 24159267], [17637336, 98555393], [21280827, 58703850], [42149866, 57773838], [23662311, 42048100], [94151977, 1426444], [91987282, 59812714], [4921568, 59581157], [77298676, 24033743], [97462642, 85854625], [55057904, 24405533], [18581858, 75562536], [36214704, 65385606], [834337, 68696520], [20725441, 47281708], [14685708, 1693784], [38098930, 51460752], [57216654, 14873311], [331276, 15795317], [32336631, 44109200], [15413817, 34203421], [21960001, 93254154], [4701033, 36869905], [87098873, 46099912], [25276918, 11353847], [76352363, 27404744], [66334763, 26575623], [8105478, 43914255], [69303962, 2594189], [38650274, 99917074], [41316302, 97739368], [86691356, 57991935], [75048742, 11166236], [94537505, 17675601], [69390202, 25042714], [50027731, 26471666], [63810984, 96293348], [9511765, 79256099], [80873484, 1998014], [58513034, 32031782], [14312901, 14952352], [48913408, 89459946], [85527048, 17016791], [85336864, 57191215], [62355917, 95687652], [4474411, 29569278], [63208766, 45344889], [47363901, 49111511], [79564550, 65700437], [82722141, 31427643], [94138540, 86255497], [27427988, 96623726], [85682122, 99230932], [63479733, 41883932], [24060349, 92600242], [16205704, 73781894], [12679367, 88783330], [91915965, 3343714], [59515420, 82390096], [74586779, 88699003], [99107347, 69289592], [20185057, 62250415], [66066051, 72957082], [90623695, 49640072], [53066753, 14720179], [78982590, 56151839], [90577812, 57016725], [90731751, 99764558], [60024239, 13470232], [63153966, 73473620], [17884199, 79917410], [80649819, 28042420], [59870566, 29168013], [18653643, 44861045], [58159707, 15908417], [8902337, 53032910], [96715718, 47718886], [38388094, 48964169], [23023402, 95316192], [3062631, 37129784], [47439863, 49851138], [5338759, 34778147], [26769280, 63619482], [82461032, 34066266], [58937710, 34425885], [79662974, 49437161], [46488687, 2731692], [36036813, 12562475], [56627132, 37419762], [27713583, 11094709], [28623307, 93122593], [42154328, 96573265], [25169475, 49130656], [66057331, 77198235], [45516911, 22671331], [65907545, 17858985], [53104319, 20385269], [72669872, 53145269], [3959172, 10974275], [40440797, 38693597], [20129943, 61387953], [85329850, 1588232], [64758139, 98729410], [5836978, 38783729], [86095767, 47607945], [86011921, 84559185], [55022381, 34912527], [14464331, 72675542], [49268256, 94179051], [30850235, 72542605], [95179932, 19780545], [33798442, 99395467], [62276447, 83934550], [35565941, 22221955], [57248654, 28719622], [55002111, 82595486], [10462043, 80915106], [50236244, 60997672], [10626353, 36154413], [96779344, 74550991], [50234971, 82709691], [44637403, 30595731], [60364877, 17057374], [12967034, 81471006], [62590353, 89903905], [47588386, 62363027], [57927483, 57046437], [31640799, 30401743], [27072397, 11419251], [57508825, 60275928], [64852781, 35012053], [7407528, 98150425], [34341458, 51379826], [72618970, 94458347], [19538017, 22504319], [3833099, 37282766], [71325392, 20812229], [86658340, 5372543], [57701132, 70375410], [75344552, 36997965], [37329153, 55516983], [26504579, 20480864], [77746061, 44993113], [6254200, 21473054], [48046453, 3277912], [34365923, 52409027], [14161755, 31694221], [85780247, 65136896], [14084207, 90033819], [88184898, 78545313], [84878481, 22548798], [44598526, 67277408], [69993083, 91567253], [87356744, 96692339], [54689004, 4409941], [42922910, 68547762], [99140807, 65557058], [2179160, 66653713], [91678144, 26920015], [46140358, 57612932], [67740383, 40033790], [16103184, 69838690], [5373808, 63644956], [19381117, 27363834], [98268694, 67248376], [3246853, 40252773], [56368363, 2017559], [4364838, 92939246], [36715156, 14230572], [76548369, 29531932], [3361665, 5466141], [40339553, 85518834], [84958562, 96348826], [86147010, 97712598], [63549542, 9178713], [15102815, 41593655], [63121174, 54864705], [2941987, 10061729], [65146306, 15371600], [98704643, 78174884], [97249074, 39959467], [25543257, 73949805], [52929873, 82832928], [38185214, 86695304], [61369516, 88026909], [32513674, 25718750], [30451338, 36723494], [45843701, 54597355], [44973061, 33277512], [25676840, 79752100], [25184804, 94645064], [44630038, 14462098], [22624862, 26304535], [71623809, 58188036], [63920882, 74947973], [16135030, 2511499], [29552644, 90180050], [91611455, 83256923], [33599337, 84201661], [47131694, 77237932], [16695261, 22397828], [50731615, 34619357], [54642039, 68542491], [79301055, 4518836], [80822669, 16813786], [59774089, 17523336], [40286175, 84163236], [57789689, 41276253], [96158944, 14987594], [73451609, 64380778], [51407567, 23529400], [72506736, 54552276], [80868670, 69286779], [28187580, 66992457], [53665079, 47966168], [43389039, 54229651], [88234404, 89489967], [36533085, 95755168], [24550258, 84240524], [83617312, 53760240], [49702330, 68009521], [70784805, 97621267], [20976370, 57389547], [36067367, 43157116], [52962117, 98498664], [82850047, 41523019], [28248068, 82968086], [72940416, 82500785], [24318498, 90777552], [16439004, 73690142], [41683266, 14173725], [94732433, 18299911], [55084784, 68904326], [41612281, 81790943], [90664879, 97325174], [17859, 62389459], [15195285, 61535714], [18943575, 15651569], [57940887, 39300422], [52247320, 67634091], [60807234, 25412428], [21126753, 99568826], [71754997, 38530634], [45088025, 19946051], [37207038, 94033146], [90964799, 62348457], [31148625, 90496544], [93904773, 7249705], [35369428, 13877703], [63853212, 1807363], [36709685, 87540881], [5912660, 16996631], [68672296, 64729464], [76346738, 8980828], [28303964, 91388965], [91802860, 29736376], [38127472, 63343106], [46196611, 16780119], [39250062, 32461402], [86289593, 43883089], [8987644, 22940658], [32762922, 25474879], [81197777, 83889607], [77921727, 82206695], [89730378, 34002955], [28859125, 31803643], [90979484, 55000977], [28407872, 28265625], [42263897, 30122783], [47457193, 33732713], [40711696, 50102037], [56824062, 595334], [30715383, 97885750], [37654831, 84174123], [64245796, 47964637], [25030892, 88956010], [57765181, 46542558], [87198194, 58130016], [81863042, 92237139], [88299035, 37350228], [60806004, 35609242], [85952207, 36390873], [2030720, 49091820], [20378313, 73367767], [23499180, 67170871], [80871117, 78189530], [32792335, 76844139], [84290174, 33752376], [16756676, 35324412], [499143, 25026099], [59863188, 41161849], [78487801, 1524727], [52828197, 23385369], [50191392, 89475565], [58898642, 46679552], [65460236, 80015510], [60126109, 94891981], [29003269, 24766841], [82926724, 41302295], [73155396, 28833147], [60317660, 92441072], [15813775, 41899517], [67356100, 13592132], [66597685, 72217691], [91388424, 19538270], [35480785, 47344097], [89506814, 23566370], [96608535, 3943931], [91878721, 55301262], [9694884, 848334], [70410499, 53751157], [4190556, 54561053], [10100267, 30280154], [88596015, 19603354], [79652099, 51354259], [50220150, 50500141], [89935739, 62372706], [45985968, 4703481], [22135792, 67624589], [6322156, 11589630], [79255590, 59471156], [57421684, 4967391], [33950386, 24510747], [67208649, 29401648], [87551833, 46985155], [79662635, 85961590], [9256120, 26634670], [15159490, 65330122], [95947426, 94885878], [87306794, 59292725], [2861009, 48208579], [32642171, 67240951], [85981326, 64960110], [42386062, 74902297], [72306384, 41686568], [37215781, 7476186], [97947448, 21697946], [97609226, 24171422], [85822098, 33155181], [29734725, 93746941], [21434476, 3941654], [5109035, 90652031], [49692010, 86633847], [75290927, 9580439], [41054900, 34812115], [50739013, 2764285], [96647294, 63159615], [77422795, 34398678], [73588320, 33516708], [37351079, 10524466], [36083285, 71997093], [90265337, 82212717], [46526724, 19425082], [69996331, 87050927], [75624733, 80976433], [70772052, 3352479], [2180631, 65835930], [58925443, 57263776], [14274043, 85649227], [72463241, 62785433], [95277679, 6238414], [7077590, 3048317], [40487671, 7960446], [56527360, 38765807], [47013776, 96787196], [19033035, 36444851], [83158364, 13479414], [75315372, 34177421], [57856288, 79275014], [54749053, 53340865], [24182763, 56050917], [67079694, 21427923], [20477858, 2471468], [31224602, 15748847], [8035395, 68181675], [72645767, 49812383], [17993017, 42054462], [2297651, 73093906], [80992662, 39465050], [20259332, 37089699], [10603309, 62300067], [14079769, 73718083], [5976332, 70900749], [50312052, 59675436], [31753381, 20844818], [17589075, 23132433], [66206269, 85180198], [85890520, 83893581], [54454074, 47391246], [79595962, 38583370], [43184982, 10728948], [93010805, 69771811], [99645263, 93861817], [58992063, 74156362], [83914356, 91357347], [63942480, 63782873], [95357150, 39589787], [9803551, 71399764], [425850, 47220107], [9348663, 94285076], [12385773, 19083972], [62851557, 83616598], [65463087, 40689715], [79048023, 97862704], [38821693, 33322494], [84609486, 6427728], [17248802, 90810371], [51360815, 64852372], [16332085, 86009142], [63166860, 88421964], [31353396, 10705821], [35050389, 68005867], [22156808, 60447329], [26133982, 64264336], [88964991, 44545830], [96633649, 25208626], [81621331, 531238], [59906235, 13929648], [26987769, 90843947], [52276986, 90422637], [91136554, 68689773], [3897313, 20585469], [53555789, 69976143], [40054599, 72310238], [86485931, 74420776], [47573776, 47960430], [3249023, 20378739], [94907774, 79985891], [73923586, 70764411], [7176386, 83785154], [84962906, 18043615], [89089813, 37694218], [36584145, 55196846], [83007666, 83491119], [31566433, 18815237], [17825035, 70394204], [11735988, 44222854], [75897583, 852371], [38635248, 89995595], [60350367, 91439929], [42651824, 69614046], [51886685, 95631678], [58885302, 82172584], [1972708, 87204527], [27180245, 74231103], [84303915, 38762109], [27265782, 15634610], [22342854, 25499087], [10466528, 74138282], [86531212, 2414915], [40933917, 77431722], [4206469, 89190488], [34611493, 47841233], [1851923, 10777849], [32840525, 4684983], [92444863, 962074], [89021557, 38811262], [36383362, 61631661], [88164902, 4449676], [57931600, 10002251], [3188143, 95504125], [96510037, 33956545], [28880328, 69786382], [48651734, 49771663], [49555318, 81508938], [92336139, 78473342], [38634571, 93982393], [62192597, 38631635], [51894612, 87392331], [5663108, 65172479], [38305418, 42628745], [86731818, 7747234], [36471067, 10293766], [98777170, 34894880], [95040286, 66355912], [77535464, 59344150], [5484860, 80863499], [45811178, 90680755], [54949498, 83593633], [31675416, 71356693], [955961, 91395536], [32236535, 49744930], [58744949, 24707118], [57107013, 41185186], [33609250, 94812838], [88934401, 67078808], [84510945, 61077749], [71839033, 33164953], [44938096, 44705333], [8967934, 78610040], [94003723, 37523326], [64384097, 49999888], [63506460, 68895568], [9156529, 58401333], [87541648, 76472688], [35550639, 40287766], [73373839, 72889844], [40047374, 20705658], [97077567, 37039074], [88147061, 72771690], [11381748, 70961246], [2315145, 53504086], [77062488, 92550338], [70230832, 94179496], [47622253, 81150881], [74008008, 77897108], [81536063, 29992919], [44079795, 15240436], [67171779, 76921622], [94232902, 27891412], [25479545, 69778133], [95257298, 14827313], [87526811, 6780532], [60831311, 50497812], [92313423, 44733786], [48025565, 573096], [45724841, 52711345], [9803725, 77904795], [90368909, 32846338], [61321468, 71993562], [9943580, 8558571], [94727978, 20218801], [52586475, 30428787], [58701529, 98108760], [60287748, 34864890], [90909656, 65915813], [68707608, 27576361], [13899568, 67072378], [25741408, 99315235], [40729923, 73702103], [97598903, 90301554], [76888399, 87196792], [24159801, 59782231], [64958269, 61605054], [65930380, 97623872], [51222830, 84710987], [59509210, 93032660], [42402739, 59898562], [5036561, 3208924], [5068209, 39899006], [69047942, 84085964], [23086816, 23403922], [32038907, 80232163], [59664130, 38592256], [26361676, 88691813], [316360, 59819927], [91028931, 90123361], [28366765, 61572701], [37868923, 50425658], [52224221, 99311379], [72175730, 46177729], [75939743, 84846473], [83578889, 93318328], [82231075, 63460483], [72003790, 95566796], [3181347, 31082966], [95952122, 47917895], [12032269, 97617650], [47005670, 71153840], [72010628, 95591318], [36187867, 77357477], [50507707, 33077588], [24550342, 854492], [54518556, 94795066], [61857497, 26519694], [20602258, 46546008], [89424084, 75521302], [20213570, 10060982], [64148904, 18702977], [90951629, 38773443], [55384565, 12743323], [22410912, 94725336], [28773623, 9863636], [26459620, 94528381], [7435704, 50132674], [82672384, 17731635], [92921239, 16025683], [85148661, 86051536], [63558159, 80983850], [75801248, 64792782], [62442971, 14420810], [18416077, 33707370], [21561985, 83971115], [50881574, 56853995], [29141866, 45049547], [54730460, 30522635], [38554637, 55873568], [97240031, 61040132], [20407265, 66691071], [44277542, 47968734], [61028813, 28340587], [78153837, 88042223], [57607893, 77469920], [41027566, 927881], [70818860, 51272742], [55913257, 82914003], [45673581, 3572884], [89010281, 87135761], [59492460, 66933497], [91199744, 77955783], [96338233, 64907527], [55516858, 30609496], [36001843, 41566354], [44958116, 26158781], [33204057, 21098731], [15895143, 74194136], [35856257, 32111474], [60861087, 56097997], [28161877, 8896568], [3094820, 85475941], [58489754, 62471052], [65339847, 40596926], [39611462, 90144282], [53196134, 45296866], [65819173, 78206680], [54281247, 19946750], [54305616, 32555476], [75431212, 96648832], [54057072, 84088332], [37501044, 17601802], [88989717, 82906195], [7726768, 26165074], [72031582, 33454340], [90263156, 37547391], [80202168, 94415353], [26492118, 18751107], [21080261, 87594848], [30051160, 15756788], [12359690, 15750442], [16272749, 47637754], [16158456, 13493478], [60107219, 23908223], [60603188, 91087407], [2059165, 56017726], [95381872, 18647945], [92479546, 65589915], [31150389, 90678086], [47634930, 32288505], [93429202, 51343540], [90825626, 47440313], [70760764, 54783156], [87080510, 37121004], [1289267, 40445395], [28983371, 36296543], [68134992, 69244002], [97729028, 34681594], [69921942, 35088608], [23751227, 90671282], [27376253, 68515137], [48023188, 62990932], [33612614, 85978612], [41674517, 44014398], [203061, 60121006], [27121905, 64201841], [87633302, 62853410], [77718354, 80099550], [88333467, 1851992], [71091576, 5921037], [19217710, 89209323], [42596422, 17400006], [5923524, 72980655], [58735134, 69656721], [83371113, 89313333], [61933287, 7979726], [16533997, 75100409], [32312772, 22595313], [13705536, 16264956], [10137986, 71352597], [72604301, 85421270], [31753253, 385313], [1184393, 13605742], [82810756, 75885083], [10135020, 56465662], [12572942, 61285800], [3452906, 61101776], [77725080, 17745574], [30730184, 76495893], [51898356, 32871782], [95775190, 3713522], [37109400, 53522625], [63430856, 72558929], [79432347, 52684309], [54191584, 78483261], [46479161, 28528024], [32190498, 71215479], [26164679, 83144089], [75064683, 1091144], [63680705, 74355780], [77160980, 89720086], [58407836, 76820161], [80942261, 80122799], [46925122, 79454355], [3595822, 39143618], [67188524, 84746435], [82383805, 80774945], [79984812, 86539280], [63162958, 35762034], [35108582, 70524928], [80491740, 54883733], [4394106, 13479224], [41928190, 34980457], [46894777, 55503379], [53043738, 75491820], [26032263, 29527594], [62629015, 21034313], [98652596, 78562616], [65023419, 53946483], [73218398, 78806105], [66081831, 77467791], [26132035, 26123809], [39570484, 19091970], [54257336, 70295367], [47476339, 75962070], [5231779, 59440557], [17300699, 3026144], [20476978, 58286123], [46902450, 23567259], [22755335, 2117893], [51469173, 9740263], [29806865, 93833872], [86690335, 47132703], [45996600, 77501975], [86690142, 64164605], [80729673, 58924425], [33478961, 86400057], [89678050, 26502981], [89412847, 47442915], [32401496, 16440724], [49345115, 75130932], [48738953, 51575784], [31921031, 88214049], [81738250, 77300773], [197680, 41028830], [59227158, 14926156], [48199907, 63501385], [18320288, 32225763], [72692100, 78352493], [53611140, 73365289], [10561719, 32529906], [79888353, 37243663], [63759678, 51200821], [73320593, 39643198], [94176353, 18884992], [84743574, 37741278], [59206748, 20056885], [33443006, 36092423], [26367508, 83851974], [72908905, 54551720], [6870710, 50973269], [91857445, 71672674], [51368875, 48918871], [90512405, 17229681], [7461776, 53896012], [15855646, 3160800], [69276061, 3165585], [6499618, 8559902], [3856923, 8383682], [64604137, 20847861], [27968391, 59397449], [60010022, 37719467], [61557402, 19618843], [47507549, 88731721], [66071314, 92249062], [91479855, 59076517], [58459445, 7370853], [23721958, 46307338], [6973035, 76273888], [38544911, 69637014], [26745691, 16317046], [22910553, 15083105], [4468964, 15558859], [61854301, 87140987], [72482981, 41188534], [50365810, 29064904], [15891514, 11569556], [19145332, 97762228], [39765811, 1553409], [29317643, 44078511], [87876126, 12254341], [35357555, 16827954], [42289753, 5465651], [3211473, 3493296], [76532341, 90051103], [85489451, 58247389], [54182405, 96678865], [92452988, 1622879], [60566358, 13368796], [74114936, 26879520], [98798534, 67296141], [41491953, 63248215], [6244744, 63200813], [96317602, 60720952], [31008390, 84264167], [1803398, 13312952], [47506016, 94626658], [43776719, 26280899], [94564401, 53508315], [78790276, 20510003], [9003573, 57601704], [25116401, 16222045], [61713223, 36382834], [37672040, 40949494], [16914785, 54471598], [77146342, 6214517], [8782732, 69126828], [79130504, 37356573], [65962944, 82045556], [3021160, 31533948], [14224312, 54638145], [11107619, 18456641], [56494637, 76240459], [75464135, 31866251], [45901801, 51763730], [5989142, 80750538], [56635962, 47556123], [50066642, 88246656], [15965632, 32889317], [1640418, 79985978], [22215919, 75596176], [53329209, 17731838], [28015940, 10242138], [30594132, 44844054], [38754806, 98684497], [14938844, 48886197], [22339226, 69907747], [10909537, 51183871], [7709682, 5402868], [40052334, 67434087], [8482956, 91631381], [29757028, 14698730], [95942199, 72843535], [1504341, 79205004], [40287766, 95606762], [12175333, 71031610], [49911386, 31438997], [90041616, 4744669], [43312381, 76173217], [94502355, 34728687], [22698097, 95645594], [44942018, 3405038], [63666756, 41574424], [42278958, 62673844], [61031540, 45665828], [16223738, 27049553], [72570053, 92451957], [95636698, 35845003], [3582353, 15226264], [54636745, 8289379], [46977165, 21522610], [86532165, 3464372], [93656981, 50455597], [31387700, 82764591], [74938863, 48224921], [36673665, 61866527], [20096427, 46407829], [30581015, 35130599], [5066928, 47533040], [33110855, 67314619], [56841398, 14881915], [56371822, 68861893], [52203638, 76952740], [5455325, 48187728], [6300354, 90222406], [59799136, 42181941], [26334311, 33817789], [87570751, 23055064], [8125177, 27352155], [66941422, 75766460], [30593528, 60890805], [73716956, 17289018], [75068079, 50443573], [45352078, 80870917], [61910034, 13662752], [63919879, 52887043], [7039766, 27724495], [96234790, 59979285], [24847894, 89028625], [97504776, 73876084], [67460443, 20717240], [83194168, 70734058], [36271136, 65202039], [51541751, 83491421], [66218994, 20348321], [90852110, 66447370], [58010294, 33643629], [26790051, 95611201], [11050252, 61617061], [51268856, 3046186], [99028328, 31108525], [15450185, 43753014], [5680283, 53467009], [45644641, 70368352], [10651456, 75170243], [59439664, 23028387], [62111201, 25571446], [27589419, 83045705], [89871922, 43116102], [43446774, 23541055], [52971570, 50326295], [36884097, 86357017], [96868230, 70177932], [92441787, 21542500], [64260564, 89469142], [4811402, 85155717], [53718881, 62684922], [46950603, 57395140], [90251771, 7531664], [55524416, 929953], [1918068, 95610545], [62112027, 46756665], [65496045, 32882393], [92989285, 68283811], [31391930, 22897752], [53321493, 44047534], [63817096, 69547942], [12686112, 64524305], [68581674, 39350324], [76963732, 33487385], [9154588, 73368518], [79818632, 13359982], [27652751, 32001500], [4627039, 61761784], [22242520, 99348631], [89431830, 46706849], [36768281, 90881392], [2417577, 98118847], [13067489, 68232212], [85728121, 24116758], [89011240, 63499047], [8698056, 10002594], [13227368, 2239786], [4958096, 19236265], [43157616, 32221820], [93917020, 49292154], [66154356, 88871630], [18552521, 42337481], [74223476, 75085511], [3569377, 12703511], [83426327, 68638480], [78900764, 62102159], [16581174, 32872365], [76915129, 18827486], [67067008, 67922390], [45917453, 2605867], [61491275, 44628674], [88622473, 90228717], [61286325, 7221833], [90465253, 57903203], [22842478, 73025386], [26330521, 41842853], [72454845, 24853522], [82273297, 91142300], [47924289, 44058493], [89588834, 85300837], [9638096, 22155851], [94761325, 30439873], [1056256, 80471801], [91193285, 74904364], [77241719, 88671076], [76364699, 3219214], [63626635, 12651730], [17235068, 97098441], [82224486, 83856388], [10059529, 81867402], [76236129, 38664299], [75063383, 35389562], [45112391, 66342630], [47165121, 92145094], [21853777, 27859644], [14069717, 94782179], [62806838, 88677446], [75114701, 97091354], [26800495, 73405946], [86399586, 69750608], [86706044, 35984273], [66738045, 79002892], [84569301, 85649725], [87863778, 30990135], [31296043, 82411961], [31134921, 33311081], [76589358, 65334111], [70095590, 86586006], [71965357, 23170221], [68926894, 91043999], [9768637, 30755030], [81963334, 99763095], [8248023, 72082686], [9028827, 32822740], [77190705, 22440762], [86723239, 27362978], [41946077, 69850035], [10605073, 54954294], [69028325, 24279477], [23549698, 14721150], [33853752, 34619659], [3310272, 29753535], [74117762, 91449840], [28189891, 25584120], [59552431, 8282759], [99098523, 35232766], [78989158, 35315876], [56439080, 46230345], [17209550, 12160557], [48766481, 50810125], [24469694, 57509496], [29151863, 14380485], [22444431, 3519509], [68239237, 65399729], [60866770, 46824833], [12289438, 57987266], [70477456, 97138641], [95442229, 65698322], [95341349, 18523713], [23499159, 62355765], [62029310, 78680056], [74450097, 30328040], [39137532, 72999473], [65136789, 38841915], [29764123, 17711286], [44967792, 96329647], [26517389, 70667936], [15253539, 83455786], [23087984, 82370930], [73087491, 44310469], [57482372, 62772140], [71863458, 17430691], [20163694, 90638058], [15349145, 16277534], [27426837, 81836706], [34363460, 67774168], [3779993, 176318], [93571470, 91625048], [53780873, 34975676], [97687854, 19062757], [2021780, 59962747], [82522312, 16649373], [93386304, 57308741], [44772241, 7872829], [91240275, 90068582], [20680190, 15555464], [46348419, 29254718], [50776382, 80559719], [4087154, 83956877], [72208532, 65217668], [41190642, 27237319], [76812816, 63328143], [75286207, 49777911], [24018901, 48239188], [8709796, 69172540], [85722835, 18738223], [19849579, 94363340], [28452611, 91376428], [96949633, 92069138], [82504349, 36476642], [53721507, 47638818], [76753177, 66664800], [96115458, 426735], [16425699, 48222129], [25973796, 90017675], [48112722, 86463993], [4323767, 43064991], [61393855, 93212003], [5609429, 68317274], [7331605, 47841373], [64836327, 77071864], [96254214, 93359583], [81678340, 85564791], [25992154, 23931138], [67114697, 68073805], [63672147, 85913686], [88254579, 45010655], [65323575, 83852521], [1091576, 78393980], [34455366, 79119371], [62020798, 55519057], [63433934, 16560348], [98391122, 98817251], [98207858, 48139194], [73536998, 77449901], [36560725, 76193863], [37382181, 47456120], [13015853, 96009820], [99781173, 64365366], [82333614, 75103182], [17625041, 48755368], [59740064, 54745109], [24512145, 34657010], [76308774, 41923135], [40897814, 94048655], [32023139, 78488245], [33929956, 69983119], [89762861, 73542669], [70138964, 76769588], [99673580, 64796978], [77804522, 88894111], [17848727, 47823391], [83751595, 9016154], [86971973, 32576201], [80675944, 82622383], [93527726, 13205662], [18270518, 46709934], [36863102, 91809151], [84255250, 7741400], [65436268, 72187382], [88495886, 30143032], [66796773, 47680599], [91955095, 20964299], [96151605, 10689469], [7603996, 2178004], [37066041, 75375445], [92539153, 10732074], [25167123, 4884393], [29712902, 1901515], [86792360, 6251123], [44158111, 24932402], [5914194, 56934295], [14593385, 3358678], [10800555, 4450097], [56978417, 80920245], [88283750, 1109878], [38981951, 31260759], [56754776, 540207], [89425611, 66990858], [7960448, 22298033], [32002586, 85710269], [48492363, 15516688], [93020314, 17752746], [60090648, 59172254], [74488658, 70781752], [41356383, 79043535], [99022003, 71875812], [65239665, 83883764], [94741501, 83749474], [26555894, 38248782], [16700633, 96319754], [68040576, 73596727], [96820564, 59111841], [4417212, 17377615], [97000130, 99218105], [16694884, 69250791], [51990761, 58196203], [25652137, 26166590], [97449864, 66218749], [82600877, 67203300], [458096, 98461190], [12424904, 77547321], [63677091, 74173805], [82059382, 21094565], [37157122, 44290972], [26013060, 45291675], [71802100, 8635618], [88873551, 72739773], [33276073, 84262089], [40702556, 36592051], [54861164, 35840532], [1312946, 16292294], [77873986, 90879334], [26278270, 95200638], [84982612, 82003061], [90246843, 50644552], [35390074, 76937231], [14308105, 46870550], [71573251, 22028150], [72106365, 52164154], [84981623, 5219020], [39687853, 34781913], [35581838, 86089158], [99363245, 85708032], [45734429, 84432621], [76312485, 64998898], [68027891, 37114322], [66889740, 84669900], [10489414, 35555183], [38701254, 58479409], [26700546, 65818194], [22381920, 53345188], [36548669, 85874328], [73616950, 31375058], [14725920, 94601506], [64446141, 47477657], [54866930, 29580867], [80160122, 49100814], [64022262, 44879740], [7489971, 50203094], [77398843, 65337474], [22772878, 59567982], [80900188, 67435118], [79928834, 1679817], [39669834, 27352440], [36823993, 56013320], [32056979, 40385760], [29885439, 55754053], [18354539, 67826973], [13883791, 59304800], [73109142, 18052975], [59191575, 16315575], [8952103, 96040562], [45826912, 91201069], [50790461, 79358240], [88621654, 27419143], [91264255, 80904316], [6754246, 62711292], [60150630, 56857521], [45516317, 15946244], [95131217, 68286421], [28276239, 46346285], [47918452, 87827372], [20773722, 20460750], [61311916, 33177436], [5121436, 6052716], [72386457, 97363960], [88074079, 18276195], [31719874, 92198597], [48571064, 37720693], [70595211, 80048885], [65576195, 19218913], [66186105, 97037756], [83890014, 35275797], [38678595, 23894400], [56024140, 19653275], [50699506, 68150706], [81178481, 38708743], [28772299, 71845779], [94244117, 88352827], [9462279, 36298120], [39328678, 23627427], [20795246, 36637042], [21121227, 10083958], [9818974, 71748950], [87068166, 58188444], [31622936, 53740497], [42466345, 26827542], [97225536, 67419103], [44840216, 16570053], [68834527, 80499301], [98701241, 80532151], [27105641, 33722045], [22102388, 44947195], [72649952, 83061221], [49358568, 95781829], [76907894, 32627538], [33838240, 58179004], [43448677, 56434891], [39527866, 37756953], [19636393, 58414278], [9137046, 18380926], [73558207, 80357525], [28369026, 5548555], [71389610, 12126061], [88621953, 37638516], [80586381, 41007678], [37614553, 78278466], [45588835, 26740765], [26721010, 69790927], [60134187, 67849636], [86125742, 31111975], [87317555, 40900066], [81554457, 9832916], [44574969, 18505625], [40114570, 15870618], [68404213, 22539541], [7056176, 85768546], [65433077, 19950457], [59619638, 45720126], [81688906, 45124165], [92744784, 90275445], [21937160, 95213649], [61255058, 78494424], [54136057, 50957861], [47395606, 29611043], [15673771, 57764828], [91214215, 41102371], [53384333, 41251306], [15150426, 64764677], [48499907, 16567639], [3619698, 42402471], [27472995, 85430543], [25491189, 23522382], [40402719, 60001767], [29891581, 79395209], [71034670, 7667296], [91084566, 60219058], [51980285, 21545512], [74721446, 19688374], [75865378, 52363912], [98643024, 92551161], [95611002, 7806536], [34767488, 50968272], [71769843, 40390985], [314338, 52085752], [43231307, 67545112], [58266235, 2580921], [41593923, 25749343], [81923314, 48712947], [52312450, 3413550], [6245788, 16297196], [44559078, 49497148], [67645912, 84692332], [1592410, 27171174], [6373553, 19892312], [34392366, 44615517], [88729614, 27633132], [36180607, 9627718], [8565474, 26014868], [62687364, 89050740], [9961453, 44992449], [93718695, 18233925], [51479736, 18757052], [17268621, 30262187], [48717123, 16913398], [71156128, 22675606], [97973166, 24792259], [42872671, 10875868], [17187627, 74727944], [69542728, 54781067], [26010846, 53247282], [90064060, 87773745], [89219565, 75625006], [67140165, 81065737], [76733222, 97906913], [21916371, 13915255], [2524671, 93598972], [78034384, 70728479], [99012278, 80409674], [28627420, 19612369], [34457852, 46265003], [98297864, 72288576], [96281130, 58456040], [99617954, 47766501], [50551293, 44628873], [26176918, 53565606], [70208905, 46120821], [54964210, 86722782], [8189780, 43206914], [31736313, 12856400], [52406318, 35060860], [28615698, 1559809], [92136708, 77309622], [82528054, 91493110], [69828973, 3135210], [50547314, 44354570], [84876887, 9452974], [49255046, 45070723], [26303271, 34129037], [87514597, 11341832], [74913680, 12903653], [53107276, 35462834], [51832442, 15613635], [72241187, 34555043], [65603047, 96414247], [9508617, 15014781], [80245285, 82759104], [97813071, 9249814], [27850700, 75671106], [97200517, 85260456], [53461665, 63220953], [94104812, 17964635], [90071639, 41881233], [47957287, 3356490], [82734277, 50747835], [3561859, 49468824], [81027420, 13930024], [16326208, 11991091], [71965106, 32424206], [26898150, 76294130], [36001680, 88468836], [90320581, 72314917], [43158168, 94905932], [20194860, 92281902], [20085504, 67730778], [56826322, 69848572], [12316770, 4459552], [72514274, 78414565], [68081958, 46105727], [76283191, 31536939], [57555377, 69584061], [72345733, 5943290], [75775528, 59345555], [11533, 91171837], [50782814, 2028510], [13950379, 24577687], [63756, 40748052], [45420183, 5596439], [51132369, 13064316], [64679476, 33429387], [93626668, 38128599], [65794517, 85432266], [95019367, 21975917], [77668672, 16448075], [47315650, 24433530], [99318980, 34621526], [94299303, 97785219], [63681382, 41276401], [15742267, 32994350], [12238873, 36991093], [77678578, 84302634], [79086169, 86726436], [63380594, 45832827], [92951751, 1915063], [59613414, 99045989], [75355631, 22612662], [32905244, 5613648], [98982424, 34442076], [36858158, 12985814], [7700556, 24587267], [30355129, 48411787], [15394440, 38141198], [64863198, 52613856], [3148288, 14171057], [98851609, 94093772], [76851060, 31496693], [1895089, 54044189], [34469396, 3108367], [6613215, 77701753], [93624061, 73933041], [19215472, 95495550], [90504415, 45739337], [58643266, 53271920], [47636751, 33583354], [72172353, 65164046], [43500526, 92079374], [12856006, 71046039], [85288745, 90311122], [71691975, 81494912], [64291454, 9211027], [82774942, 87130768], [25534458, 84447028], [43413497, 58732515], [30015715, 66237132], [38738747, 5228188], [92606548, 48079050], [41646415, 24145295], [1282327, 76336238], [83337729, 93529181], [82520721, 69510573], [54504063, 6176160], [35303451, 93403314], [42579974, 23656744], [43844419, 80961810], [35987147, 33250318], [19196631, 19972824], [70550149, 87850359], [71819493, 63612461], [75706088, 29524871], [59431624, 6694070], [569669, 27443997], [97094336, 12793684], [6517704, 28006213], [74493664, 20910926], [9936063, 42058362], [33099428, 46529424], [9680763, 87875094], [79505762, 73776837], [52626722, 73143916], [80318758, 24217968], [15101217, 91673073], [25632242, 83346784], [94451310, 19423714], [4895341, 15852822], [50758848, 37066933], [66008091, 67384091], [63443610, 43552400], [37363657, 89183132], [73402314, 4250454], [1348242, 76119590], [29743493, 20913302], [26135517, 22435984], [41019164, 50949903], [50288889, 35411661], [42339534, 3365162], [31054090, 18693664], [46492940, 43967227], [46831480, 34940888], [24402560, 22812241], [75845472, 4882345], [50648487, 40755891], [26139391, 67248174], [57384888, 74516375], [39790515, 80675438], [62477211, 87418681], [79715755, 20081393], [48213684, 78464869], [83817130, 56391184], [4657905, 2656899], [51883010, 14780395], [81755847, 6679889], [86896075, 26022448], [3487598, 85488546], [54250189, 4914923], [81619719, 84696889], [10477051, 92533487], [52127666, 76647434], [44630292, 18683231], [73427205, 97574195], [53224868, 60798569], [94169557, 71694064], [40092517, 1628556], [59295285, 90635452], [37472393, 25795285], [66926036, 53415220], [98833067, 56164410], [46104987, 49628958], [97016570, 22652184], [22298273, 77694019], [20394276, 90660955], [60918465, 64071851], [50651011, 46101869], [20520580, 37427398], [44368664, 47078401], [45852983, 3761550], [22233368, 85117593], [84167690, 59953382], [75570830, 13259725], [69274398, 65463825], [24448106, 46906999], [51808195, 92026127], [23957250, 41692441], [89755739, 89961123], [29965655, 55046440], [18553466, 57293104], [14249013, 75426879], [48816173, 84482797], [43118560, 67161478], [79427825, 76293945], [12177878, 52900200], [19523344, 35632587], [61759887, 60409601], [69704800, 30600851], [29640133, 87058682], [51330857, 3704509], [38623213, 52776613], [14648350, 35099909], [65570438, 26403472], [87962167, 18512088], [23102764, 47211743], [81383029, 49240781], [24714028, 13864909], [70374485, 44392196], [17670557, 82686765], [76442622, 18484034], [24955924, 18549848], [85885411, 49662189], [9959396, 30030945], [60920082, 1051125], [60607532, 5872455], [27722403, 51238192], [92450764, 21081220], [19999068, 76049092], [72965784, 73606670], [50725602, 36880899], [5516062, 80800369], [62523588, 90294005], [79734688, 94671032], [99360876, 51062288], [14426183, 68091978], [94776208, 59810494], [85573860, 8341746], [13357007, 52329920], [39866917, 65889247], [49433021, 68407040], [39455464, 26310391], [48947020, 47492188], [63273430, 54315272], [87479304, 30418787], [50955755, 53001112], [98837231, 92741825], [5090839, 77265579], [21320621, 61630785], [83418648, 58303312], [9572569, 57261401], [71278558, 99128570], [80938397, 15728890], [11013203, 55356043], [84091695, 85848390], [71483896, 65810811], [72670619, 43405587], [24663456, 88583731], [31721464, 77537921], [52703293, 83736082], [48025771, 94715339], [44669697, 67035074], [56772675, 6173869], [52164258, 2749002], [26121803, 15331403], [79605231, 19183170], [76133830, 83246485], [64063652, 42960218], [27128946, 93212184], [70095544, 102455], [87628729, 67514316], [16828511, 84612498], [1048385, 44730643], [48604734, 12160055], [70797379, 79834793], [76882046, 67249456], [63406836, 5677003], [56274, 47051765], [68955573, 43803087], [9074145, 96361758], [9228975, 63881431], [96914520, 99408495], [45269495, 80816498], [78779908, 57551254], [18468175, 94678588], [2761488, 87978637], [94507365, 38650101], [98353498, 3598426], [26021370, 8953061], [80671501, 83905823], [91855010, 48313010], [38572471, 54329589], [58050916, 94215707], [15186544, 28787257], [88630953, 90175053], [29851862, 81738699], [60446135, 79781729], [73156619, 24463197], [27094344, 70962505], [14674183, 49475597], [54755810, 6174147], [98740794, 55321552], [64674388, 92561204], [73491164, 69920615], [9898568, 73694070], [73203106, 99199207], [62717310, 7984884], [87950974, 81768094], [61129842, 53875137], [70858041, 51740217], [53574138, 9025044], [24675363, 36937804], [66582860, 69504245], [14248357, 68641402], [97599609, 62240662], [92290838, 50125091], [72382679, 58398893], [10493791, 49345612], [61302680, 88647968], [63469846, 41403871], [76801564, 33903729], [63017014, 50038386], [1353880, 31473733], [37561813, 77490379], [55153429, 83142599], [94629423, 24205903], [97118964, 61249987], [11318369, 10486509], [7074473, 43582634], [96756313, 51545065], [79257090, 8685611], [40199108, 63381374], [3831681, 6575489], [19129478, 90060081], [86268077, 14239669], [79016673, 61727624], [26380310, 59637331], [33509943, 39839255], [81299610, 13421540], [9592438, 94403453], [70778236, 23757456], [76340381, 15869206], [93946791, 65719064], [71251209, 87892784], [5709889, 89372166], [75742726, 49105360], [42689458, 61434599], [41446426, 51810596], [1998963, 63486066], [35231461, 18905502], [77098718, 13523580], [64566924, 48465145], [71928485, 75476940], [64136469, 56081481], [16685592, 75625320], [93164788, 82216551], [73074810, 65860133], [16256422, 43092935], [29778702, 60555805], [20385350, 42108256], [97684522, 85495528], [78458821, 33664870], [59908790, 50311350], [15053031, 485200], [33889894, 65370198], [91699915, 3582616], [33665327, 24814065], [29051896, 57406547], [24205292, 53954047], [65703822, 58090465], [94276234, 55211471], [61669342, 44363180], [37175427, 72782128], [91893641, 8128957], [77461771, 63472334], [90084310, 99634511], [76264056, 56269975], [67690277, 37802482], [14346466, 79988017], [90654757, 80237757], [87789476, 54490821], [81069566, 7713455], [42709754, 35462763], [13170408, 88239625], [69202958, 37251602], [4717833, 46479492], [98513621, 69560728], [48105038, 39202683], [85094897, 27963486], [93562708, 23513300], [26707920, 29207340], [72960795, 84412948], [31543239, 8110124], [952012, 25527471], [4235769, 79186113], [21056557, 21429250], [12306555, 22715790], [88319437, 77865834], [90575210, 71904244], [19949982, 97346578], [78343190, 29644496], [17143755, 39279950], [3920638, 97713677], [84520279, 79647443], [52673074, 61107318], [97773565, 41332130], [21530909, 8988682], [86305192, 64393761], [90155988, 70261672], [94511641, 59802390], [29767727, 56506023], [58206550, 4821290], [95094956, 65701648], [2559717, 16801191], [6353162, 40679895], [25041943, 56716877], [56949586, 94973655], [79155163, 63121973], [96791686, 65602891], [27175248, 5889402], [95721641, 43380544], [83466489, 77616854], [56765942, 88699384], [79624341, 31404379], [63124197, 13207786], [82184716, 98592927], [14752593, 71743841], [44975871, 93382995], [58840124, 93354408], [21622458, 98357398], [30670722, 94614782], [91757877, 341796], [98659274, 44948715], [69033622, 77052938], [85384962, 37257111], [44212660, 47317207], [99293192, 2705132], [60217690, 8497579], [34339054, 32297066], [93878971, 44472496], [68029103, 94231099], [47987886, 69301194], [33816449, 16198520], [36366611, 75954382], [49539546, 66377251], [91404250, 9470756], [20926809, 8605658], [56775880, 11712581], [19500291, 3691868], [45811813, 41011056], [77303115, 60201105], [89640889, 86868849], [73567010, 81572712], [19871596, 57246300], [11259305, 29716997], [22879184, 79883945], [18866150, 20479909], [13336703, 63639222], [59865494, 77304586], [67147582, 23509463], [41620921, 41618815], [72042469, 9678010], [75829407, 53193704], [32837639, 93118691], [91673475, 37191893], [73632495, 79827906], [55958181, 81027540], [61280090, 87004053], [44272385, 19080991], [52254194, 88015009], [73594154, 20228365], [27734977, 54287597], [6627828, 15921656], [69287756, 3186575], [10700723, 8300130], [94967584, 73375809], [3446090, 90718656], [7537989, 87723475], [28597722, 90395886], [79558365, 93547539], [24012616, 49421789], [38172930, 91030852], [31090580, 84807793], [85393284, 3707584], [41505569, 17110458], [70151716, 91349061], [783369, 11584251], [35940624, 6166254], [58782162, 32615096], [18422471, 80695645], [4383563, 36984577], [97923918, 62518929], [57157287, 48626842], [13985838, 48623563], [254960, 88955747], [2712688, 47231747], [92089951, 97663981], [91508743, 39933016], [31374564, 87726835], [97505383, 63149093], [54519203, 82889703], [32709112, 85128610], [17122145, 60683447], [95371230, 29259832], [71064379, 72128975], [56443611, 97550907], [99226021, 42168003], [66987647, 63082131], [78725401, 83493359], [20621374, 5680248], [82361581, 96334905], [84118989, 19615301], [6846589, 40206721], [95954033, 69160781], [5354373, 82457993], [1961548, 77988129], [69781199, 53720833], [3484693, 70651104], [6299299, 80438401], [1263434, 39973819], [28074440, 78893587], [25122121, 30691362], [97430497, 94544987], [27255586, 11378111], [13797357, 70735115], [87108876, 25509510], [82027143, 98791527], [19109655, 6659354], [17841012, 2490789], [1033655, 3932522], [95271109, 45507983], [15239175, 32571604], [72175133, 11119793], [50769490, 76660681], [7846612, 97886016], [9937536, 99563898], [70013349, 46716050], [1959991, 18475501], [55877217, 4308931], [54061044, 35631621], [81268247, 99633230], [91270825, 70371296], [2769779, 56146754], [22556355, 37112575], [65390673, 23673815], [27863715, 16038476], [35367136, 99551372], [26432020, 91783244], [34721428, 48631271], [30502540, 83238992], [95738689, 80380607], [35772297, 67171581], [34088133, 42011882], [69099822, 32436977], [93944277, 43406888], [55814709, 72529752], [41386333, 36400794], [63819675, 1562993], [54672932, 27276956], [82143933, 14758605], [15678940, 25699614], [81757942, 26015988], [78462647, 4798577], [49593431, 1089533], [12994566, 572988], [75905394, 98623321], [73737555, 65549680], [84446920, 53444506], [54250428, 27015006], [90259349, 90764516], [45613345, 90920800], [25473651, 86493060], [2623264, 13000921], [86937800, 32743124], [24965915, 73977303], [71744217, 25751690], [26044865, 93409223], [26504079, 78829456], [7648713, 81629785], [5355778, 42624788], [98245795, 21621456], [46302557, 3746057], [31015405, 77210702], [2670073, 4747126], [8013588, 30079795], [70542621, 79659145], [72337591, 72137672], [67129524, 80818377], [90237320, 10213949], [7331596, 33453606], [48875126, 5574795], [57911513, 57559669], [90136273, 32320364], [85945072, 76831267], [75459796, 23130937], [60717165, 16303426], [3264370, 67476640], [36902145, 81030496], [94390836, 51341653], [93740305, 56346388], [80083847, 94923793], [45448683, 935944], [55215014, 68335174], [88942809, 52698067], [82326969, 86480841], [93358083, 43290592], [15279844, 98963098], [91856178, 53621389], [36878357, 30903542], [77551105, 30241994], [28248645, 72413025], [29826453, 74610280], [16355, 73852452], [52852779, 88179768], [60846167, 97244831], [82202290, 56651737], [85520440, 1720464], [22058105, 62456557], [91259413, 76660783], [85491500, 39733419], [90705827, 38098141], [69980165, 46197638], [8730443, 95467286], [42253680, 57781499], [35473873, 889749], [22848428, 96931783], [62741883, 71550699], [26723737, 91664270], [17209559, 4195045], [19751472, 99849757], [17396110, 12084627], [35090672, 61953601], [97725847, 30541673], [54235536, 92159321], [68477351, 85990048], [55715399, 35564053], [99443225, 95766979], [71468569, 24417076], [84033618, 56243480], [43322114, 82722109], [62395944, 66585721], [55515383, 11104427], [31901890, 53673873], [25079095, 78176777], [22413209, 16170016], [28307098, 61455296], [81546694, 54664120], [59374681, 84308344], [80267765, 59895002], [20862006, 18373266], [80758991, 79066904], [33041135, 63760136], [92678459, 70372723], [45750198, 4021999], [62943882, 2277002], [7542236, 11585024], [41087392, 20229888], [26439249, 51646520], [12796887, 43696582], [98074704, 19177151], [45244146, 70150796], [23231782, 12006061], [7024312, 44731834], [9016129, 41780973], [13520221, 79405477], [29464290, 78055748], [10892352, 28585767], [99028333, 74813104], [90392760, 27272257], [68880947, 37491024], [88820451, 65450097], [43229552, 1195551], [34203374, 10815798], [66206160, 9392024], [12790626, 49224875], [80354981, 94273481], [43375526, 53585574], [13869697, 13863177], [47458389, 77410809], [46714281, 88615230], [36778269, 94099893], [18347892, 41364078], [93000552, 64217027], [70319855, 3386234], [32638673, 53737949], [58691534, 50187255], [15583346, 87759662], [585847, 4044418], [83537624, 26305736], [5275934, 83587688], [47150901, 17027141], [30311208, 4651848], [15830078, 23673819], [83642954, 88159311], [36471050, 86380969], [83179501, 54931334], [12209015, 46513466], [452208, 37241508], [24965484, 36450833], [2515221, 50892850], [13560042, 58720151], [10989972, 65645277], [38103613, 6554927], [12912145, 1222250], [76743971, 53814132], [56565657, 64579066], [37891726, 38740113], [54739022, 63840349], [92776756, 50198993], [26821841, 73049933], [25875957, 1912269], [20264651, 97012015], [17686247, 35301788], [88968241, 32257855], [63315540, 40481599], [72116181, 98009176], [7347601, 25715008], [91590473, 50670577], [68207556, 87406695], [36498421, 45945012], [2891228, 34380192], [99943668, 2529176], [59380061, 19214643], [97350149, 4299814], [49296144, 29524325], [76730342, 64690867], [88888861, 10232831], [3141718, 72081643], [66326508, 43648885], [65151050, 33995313], [14064893, 14182017], [84817737, 3211771], [1315008, 53773656], [83842251, 88256322], [43990575, 32049997], [44223688, 43816804], [33100203, 98433321], [97052709, 22997958], [47321903, 9320344], [61368102, 7532111], [24551680, 97196987], [97199365, 9565341], [76332759, 7905722], [35329187, 48229893], [32427380, 72884342], [1909724, 23721948], [8837557, 575551], [1153699, 91193282], [48494645, 19491400], [60819742, 90902587], [74239505, 55292952], [54110049, 65828038], [41418971, 70187065], [73628940, 1728454], [62017359, 88844742], [98063266, 91483916], [11509191, 77831618], [58613367, 90989398], [49085751, 96589426], [46016775, 40435793], [31489519, 95188467], [13192461, 69107524], [17343814, 45931536], [17095343, 54959787], [85522029, 21280551], [11323713, 77765424], [34084637, 93392252], [98152206, 16225485], [38086828, 54824459], [74101864, 80226427], [13123964, 32384754], [85786062, 28738620], [86119109, 60231419], [25601586, 23789345], [39731509, 34458492], [42700941, 83251408], [65598454, 90157898], [19178418, 92398581], [3050055, 46793301], [53703831, 80944833], [10787333, 23698787], [70638207, 89255610], [54556427, 16660626], [84713948, 51960476], [84965744, 63966122], [65138594, 29220438], [13231127, 3337447], [91142322, 19842113], [90061404, 85517256], [76494382, 5992114], [90979772, 53177304], [71461624, 20076456], [42371666, 92941265], [15630557, 76646986], [1610201, 48624521], [98305001, 21264752], [37825302, 33587812], [42367766, 75677127], [4431586, 50860759], [52433764, 33469475], [2284705, 69658930], [61974166, 97941357], [93638055, 21970428], [74938539, 69815071], [3638541, 39415914], [48658555, 72769321], [39592060, 71133466], [300522, 84640891], [59068219, 38387613], [82492937, 9658440], [59284305, 85192566], [76164232, 97491120], [15279649, 73331639], [19663772, 58392586], [28553162, 42519864], [41709579, 59726457], [69427042, 28500024], [52987453, 18778862], [36085687, 75872405], [8846440, 61896892], [4771358, 62749284], [19393068, 71361329], [28894391, 29928140], [33413553, 44030778], [15502168, 16486915], [12545262, 26213640], [22191895, 47381406], [39254788, 73582972], [10096386, 92258510], [5879314, 84057678], [43937105, 76511709], [62502916, 49117360], [36123315, 22471617], [63744155, 2628300], [5616839, 14937098], [61981949, 75773484], [61643784, 89708595], [35886339, 13071307], [87451094, 52030126], [6917358, 84914685], [93354263, 68759150], [75424633, 84123105], [40218106, 41968141], [66987543, 52220445], [40739123, 38833377], [72967881, 33223341], [5778690, 61661655], [57449509, 24933595], [89002018, 5000693], [99303720, 4942290], [77852556, 57405319], [15991088, 83465645], [8810420, 37535644], [96555050, 31473835], [62251814, 41386035], [33609480, 71291937], [81208748, 51201554], [23001972, 96513108], [21508967, 28316115], [11607084, 54451671], [92961968, 74412709], [44533800, 2822428], [54674254, 75500226], [86181128, 42928151], [95989475, 67478952], [5273423, 16592305], [55326521, 40422257], [79374005, 68745106], [31870144, 20415936], [22669694, 79096349], [41341188, 99395282], [19931835, 54565570], [60080905, 23356020], [14212692, 9443167], [6843849, 12756953], [59887912, 2075359], [12840398, 2359773], [77659947, 94493332], [91462214, 82570726], [83781715, 52427708], [73924252, 85673713], [66590160, 81166519], [61936554, 2624570], [84048453, 39919509], [60810308, 235996], [62713402, 27554152], [64478604, 22736202], [64921964, 31388105], [59806018, 79841503], [53118247, 54308496], [82900220, 15532416], [79398891, 84040962], [39163035, 87714201], [33969239, 34235249], [75254806, 91963545], [8610979, 92692025], [11738145, 14037102], [46391134, 12620392], [25984921, 62423879], [7967361, 83312684], [18147364, 51950635], [35146630, 93932003], [4098404, 52509733], [11307912, 2547972], [85286446, 27717684], [32005734, 27228817], [67243577, 67545815], [15237645, 77851635], [760961, 90576516], [61940461, 13712531], [25460907, 25935249], [1704318, 87664968], [67732865, 15242871], [44208278, 33761739], [53931515, 75584524], [26707521, 54646742], [73644807, 72071581], [19998806, 38793239], [26761226, 98715866], [6904852, 22148022], [46056751, 66162173], [49237482, 17253914], [90921871, 50219298], [34578761, 78195028], [6684683, 4749169], [16988687, 43052142], [78003293, 73161888], [24368075, 80115912], [64850620, 44403547], [41639688, 5964213], [39664175, 47470850], [25891802, 79599359], [37904493, 93419795], [16831668, 12388466], [63816086, 68745733], [76666302, 86822519], [2177461, 42285036], [29001239, 68928465], [16262700, 80999767], [95758256, 79610519], [5045016, 48390321], [6695329, 22578723], [89559327, 99128162], [36178378, 23946304], [80903939, 70411341], [54191681, 19953250], [55250705, 14223230], [28155567, 16166337], [3039288, 7795088], [28406752, 99740643], [44616089, 80044752], [75434515, 58589016], [46142467, 49730487], [81291654, 56771916], [39836664, 14564695], [51163196, 91374472], [54014883, 39393438], [68878975, 73317129], [63244315, 1415283], [87760061, 19008850], [43749499, 37363511], [27243950, 88111614], [49791660, 2197713], [80111378, 89037008], [51499890, 345393], [34149875, 20405364], [54611059, 88885502], [1149182, 69587167], [81842056, 79966190], [84860213, 72377354], [47056148, 10007365], [43742354, 83750603], [59954017, 69086207], [30578374, 93991635], [18306612, 32415973], [4578182, 6233781], [67910702, 20940066], [59132021, 40911394], [93400348, 23339494], [16363908, 86733080], [38318874, 47490485], [26851579, 73789519], [3213001, 96893560], [50545440, 24057469], [40357588, 57541645], [5922152, 19022598], [19998431, 28481204], [58456707, 33983400], [24644418, 19367419], [6308761, 66141640], [1426240, 77315753], [88225099, 74978596], [22248136, 16103746], [67436508, 7696498], [98197185, 20725103], [23176111, 29284395], [4269739, 71636343], [41796249, 25271784], [18839387, 98823538], [86189384, 50541146], [61316254, 12115336], [18556440, 75286044], [64347871, 76535597], [78893082, 10068312], [85854658, 34740664], [35275771, 41736416], [48957159, 50485560], [77931415, 563670], [5463347, 11709220], [53434169, 42702849], [69675486, 41500605], [9265641, 29654261], [27071604, 73570210], [7987128, 12984533], [37392331, 2152562], [94462334, 36656727], [19580459, 26358653], [40469312, 67207355], [25836390, 45391069], [72299917, 37443817], [62477663, 99416526], [74296664, 2876540], [75324126, 15890822], [54757426, 85186539], [47744398, 49971052], [27528417, 89886115], [78025716, 48303074], [40799384, 4845733], [16454275, 12470259], [14351360, 29390713], [59983985, 85116004], [2222223, 31002845], [71023977, 58573185], [12482533, 25545834], [8411121, 13080584], [46223373, 10193224], [46564668, 77360422], [82005771, 52199213], [42839971, 62293480], [31569670, 1680631], [56592387, 32498014], [19627318, 42263281], [257232, 3459312], [14825618, 98712192], [70844161, 19399270], [71480343, 18624319], [94325888, 18099315], [81574490, 85381255], [84867926, 61583256], [91949854, 96222142], [13010742, 16614042], [22721611, 72556836], [4958371, 53973472], [66111122, 9900310], [15549419, 29075889], [70862257, 18518974], [31428351, 1604371], [84079236, 38153117], [45894904, 80556746], [15381773, 10757920], [9628634, 7263522], [88364798, 21261052], [43618995, 83661607], [6785501, 28944508], [87522227, 89497024], [34284130, 36570702], [96378391, 85346240], [7535215, 87810344], [7414663, 82194777], [86251060, 64013551], [89953881, 33386567], [9365794, 23478636], [36627396, 42283970], [43926549, 57132374], [75863139, 5428558], [35682769, 72910234], [30551676, 68504269], [78023548, 41581048], [17147238, 70286334], [19005369, 12943363], [67162731, 99760967], [71054888, 41972023], [59682894, 929336], [9974343, 69973084], [22346482, 87242373], [86573721, 6070939], [85537832, 90118129], [47411793, 92838956], [54827056, 40922683], [94805021, 51874722], [74859127, 72125764], [29909179, 88594819], [65468564, 26640714], [14474695, 12882701], [84845889, 55045780], [82815700, 55757047], [77971287, 69809701], [10485522, 18719387], [51711997, 61013318], [23173118, 98845919], [65413525, 41136661], [27608153, 41868247], [87472121, 4985553], [51387903, 31567789], [63081612, 78239963], [31278932, 77862407], [68705431, 7241753], [84848891, 43430050], [21950683, 68020937], [96205731, 30217229], [27353265, 91472938], [95820115, 78818694], [18452954, 35093594], [84125611, 54823382], [18492231, 1063652], [48320027, 84540198], [57742951, 15335302], [52796659, 11722310], [10183009, 59749275], [61732420, 42539075], [10485602, 13069452], [13843841, 93485201], [6268117, 549256], [55533588, 1265453], [48593781, 84966529], [75654080, 37480287], [69658374, 55278855], [50218442, 99382432], [76737001, 34773935], [40020286, 40050956], [31209183, 15092533], [93767770, 73676211], [5292948, 14558823], [18491325, 63553215], [15298415, 42488097], [26493427, 44031912], [24661594, 56559361], [15445738, 57254231], [38994418, 61944109], [57083226, 21023650], [72589848, 73584841], [56691860, 78390554], [27560141, 67182467], [79081342, 63036860], [35222958, 403263], [59835507, 53497852], [83816067, 58273342], [63416806, 90646357], [26356122, 72008853], [58439248, 91164824], [60694038, 12852051], [57239510, 92450426], [9710779, 10599439], [36390269, 26800018], [16467570, 69926197], [73073803, 44293880], [19793084, 38944920], [84638810, 97788261], [73110660, 66829324], [11047730, 94019286], [4508302, 23085081], [56795616, 64659174], [91504541, 17101669], [25804345, 16972575], [89665623, 14171371], [8184693, 87231796], [1112508, 45068260], [82644090, 83439893], [74036503, 40749959], [26019594, 22538955], [32240195, 39069902], [31008625, 21140852], [16799610, 105962], [10770796, 3543243], [12667360, 3139605], [66219877, 12442059], [21123104, 84762947], [1705397, 30715955], [78971948, 56913115], [32186658, 31291734], [10137889, 8051750], [96148599, 61669203], [91729622, 26534349], [38566730, 80964920], [13341204, 8377967], [14290223, 53135989], [97627912, 82798578], [61797733, 68069640], [14062405, 12730293], [67951440, 61467916], [71463855, 87499062], [96039614, 6667635], [50981304, 46392442], [80846872, 58217923], [84962795, 45953341], [4309221, 28292320], [58908038, 17832046], [31779136, 57510150], [66343256, 90650379], [42946504, 19527254], [22983912, 62634477], [10903226, 97892299], [64604287, 90956994], [55944223, 20804967], [37105152, 17338290], [6520189, 21768659], [49872150, 27625051], [74342822, 56632115], [49501360, 28408836], [70103503, 93012495], [74246673, 1104081], [28760396, 57092733], [43959541, 77020615], [75078350, 20789072], [5603874, 92340631], [97894754, 37808651], [93366448, 39957711], [47934522, 87202883], [50912007, 57069149], [44213248, 64610427], [31843199, 28398843], [67718982, 83623509], [44951481, 35167822], [74024875, 97324040], [3419200, 85945040], [13955421, 11232362], [64183308, 71609071], [52449244, 98919139], [34644094, 54595343], [75331584, 65676152], [19894971, 64703832], [76518688, 85602294], [36748406, 93443161], [115484, 17070422], [32214072, 26694894], [64628412, 34857901], [24128525, 61815192], [55483096, 20620280], [68936178, 66497832], [26299825, 41350371], [19844427, 77366257], [43786128, 21729211], [127001, 25330427], [62480566, 87922034], [17115731, 60295802], [32639823, 34988336], [79180489, 3515191], [75051833, 58055076], [83439205, 2616305], [45897716, 22619082], [91179003, 63060012], [13323278, 51607053], [24096968, 48317239], [51714734, 14222460], [11814806, 16076699], [74991775, 71237150], [71314437, 53004763], [84843727, 2939489], [45797916, 66209218], [27573684, 78965708], [39517886, 96402499], [19533059, 23861458], [49542508, 24425308], [73823586, 34664167], [49826723, 28363919], [91943315, 69724494], [49336171, 72520603], [92540152, 93305079], [55979881, 58982857], [74522412, 34723586], [83725361, 71322362], [25724733, 30960799], [17592130, 67968545], [3130190, 33948611], [64546059, 78766596], [36742712, 26039532], [30325291, 95767458], [12647155, 72291900], [41648821, 49930719], [41231797, 41040601], [1445564, 95031148], [64566048, 92019560], [62952607, 59278196], [32374242, 1024181], [20133662, 42363908], [99846440, 16416339], [98932248, 23175118], [27331961, 30123730], [79001421, 73495410], [57240485, 79168814], [59245771, 37613860], [65319263, 22846815], [4937555, 144810], [25945715, 45750136], [92379863, 98515227], [92503950, 18715273], [40607989, 94738949], [49552033, 21706490], [3613595, 91559401], [27241280, 24997582], [76771464, 88007026], [14592475, 87725602], [76817626, 34150517], [11198420, 63327792], [17830137, 87345048], [43164161, 42642609], [425879, 59217523], [75788264, 27569516], [55556817, 63933890], [31239269, 48482589], [35347383, 70112838], [48521906, 64953253], [19908199, 17998324], [97511945, 44952743], [42859542, 69647961], [30277831, 19714060], [45366735, 4097901], [68130920, 20312490], [57932692, 84946639], [89284014, 69815088], [2628404, 55973414], [9222260, 65418886], [58077432, 4631774], [66311839, 92508409], [9548767, 57121530], [65523651, 50419865], [74250801, 93678978], [73269834, 75215059], [13970564, 96548492], [88597789, 75519920], [5159977, 68343662], [29402803, 40155101], [59639088, 95818331], [27017741, 61775052], [30313623, 18256071], [26378246, 6642643], [56202032, 99024698], [34114744, 98617456], [6714590, 15522214], [66173744, 95866637], [51479724, 44472983], [96061463, 97703929], [55653115, 37626575], [73410638, 69828997], [53481624, 42805004], [16506617, 5019192], [63511242, 31159609], [45413854, 61796654], [42331017, 51119600], [81256484, 56868806], [78493373, 23284241], [66006451, 25158950], [18852155, 12306805], [16297865, 44359265], [28687619, 88208438], [79697993, 72010312], [96442082, 50805302], [8757316, 7273594], [76915964, 41912908], [51944130, 17786166], [38520417, 3657863], [11192331, 69988884], [71955397, 52226547], [45489757, 36056276], [15419394, 96710572], [25743504, 90556712], [39057744, 99716736], [28819643, 80899593], [76643772, 74666830], [48663586, 77819828], [91846286, 25843172], [30240733, 12400363], [73100333, 46553839], [40272474, 5728985], [50083135, 77802604], [33741015, 52457188], [12671795, 38800182], [37699453, 39244963], [78833026, 93269321], [67999466, 96447486], [81470403, 43723736], [70258804, 30030617], [54898547, 52873460], [72277646, 77273421], [11096519, 35441482], [91412328, 20637394], [88289193, 82720278], [95203679, 63590196], [78035436, 1679921], [29316990, 74025233], [67625219, 57717893], [43834384, 8206957], [89638671, 20631089], [40476478, 90976220], [1810356, 43631260], [76440157, 51542056], [90680917, 71045629], [30730664, 47351300], [64030721, 55517630], [37534436, 12092955], [29543201, 44509964], [85468610, 51363356], [61512687, 89538385], [37878512, 78833183], [46716835, 34079241], [90991698, 33627443], [50109892, 11480207], [29475245, 38201212], [17933015, 68310351], [11572039, 80437862], [91536950, 28495955], [14732463, 73851661], [60808450, 74349449], [4527278, 41349843], [64853976, 87754873], [46419985, 64152930], [65955307, 24332845], [63677027, 87845932], [77369922, 6402049], [25293916, 5008701], [72475097, 98836681], [35184641, 35859687], [58555365, 30995323], [99893924, 79360976], [3723636, 81381749], [71817611, 55830652], [12233584, 17794048], [16728836, 39723339], [72700867, 14998358], [44157587, 98781409], [39323043, 38834967], [73350347, 67141680], [92304855, 43164105], [99038642, 80295791], [83096883, 98370806], [51925101, 1119277], [82695205, 40508432], [51539064, 6861781], [30570386, 54490923], [15247287, 28999163], [27927031, 11006202], [81061947, 88568318], [10081496, 87278266], [19955883, 64731872], [9469460, 67021869], [62228640, 68771985], [96263198, 20422156], [59600649, 82127625], [98695970, 62963446], [28807354, 54639992], [62383697, 71242116], [39501786, 10794310], [77660700, 91500364], [59590246, 88616476], [13222068, 38384945], [78741206, 76457847], [13379923, 83960076], [41557359, 49655264], [95705844, 48762099], [54620515, 47525772], [37130594, 89676250], [20718714, 25788524], [66924556, 88692703], [21219536, 61407246], [22237889, 27129685], [89889144, 18201495], [57566596, 74094549], [13177571, 53960403], [54877765, 51886753], [19531562, 52096684], [48327856, 33436345], [34827867, 84783156], [79837208, 24612542], [23848322, 31488730], [97696620, 9407241], [73809831, 24283947], [50336660, 48630947], [47730957, 76832009], [33679982, 86964460], [6136738, 98168407], [35572795, 81728636], [79919553, 49252342], [70481855, 27308895], [3859155, 23798196], [4413642, 64403012], [88464469, 94540077], [20076886, 24387848], [81189829, 43936185], [92413107, 11833828], [14735753, 81841942], [99218083, 102031], [9256118, 66530765], [72821590, 84815170], [91569310, 9260348], [70948418, 17613006], [74023441, 38361009], [87259551, 65741692], [89563065, 46634579], [36423253, 17220802], [23148701, 33134493], [87802098, 61920279], [24706323, 81872311], [31592778, 93864319], [96486397, 2790559], [28535826, 99178395], [88436408, 67575705], [3095341, 18813010], [14849260, 2937624], [24512424, 78382485], [64503759, 41572693], [71009897, 89302124], [3262355, 17653486], [97101938, 41605600], [77221730, 24179729], [90027159, 45139823], [14981924, 66231105], [5438657, 71405397], [16530632, 5315929], [15815146, 69695141], [7756788, 73304416], [84158571, 55451286], [64100975, 62558861], [60938623, 86429084], [29954477, 47751539], [77301418, 65140801], [92168762, 74150639], [24015997, 47703543], [56535623, 10935039], [58077529, 4171617], [79400372, 52315112], [95725351, 7346242], [89015505, 59404794], [96957950, 45239721], [16080945, 47312189], [75359275, 87467993], [63128360, 11321553], [55660278, 63391958], [80875523, 42324796], [4330960, 46960397], [68333252, 83884], [40446740, 81581616], [37857290, 48474592], [19001327, 90298830], [15096829, 93642415], [49872472, 4204617], [16837801, 63332227], [67334013, 2128052], [9817648, 87599722], [35122381, 12575716], [24197340, 83856677], [19897173, 31195978], [42712180, 56039678], [51850206, 57084941], [61374366, 53127362], [38195520, 39267559], [90617228, 14856535], [10001136, 73401892], [7398068, 40367118], [77345965, 3044806], [2568731, 47383886], [65463064, 84180042], [40275665, 20110768], [81743635, 73616861], [44667553, 91214535], [94658390, 51605282], [66044193, 87696017], [82910648, 65901861], [24939390, 99843409], [54229839, 14718682], [19812167, 16007296], [83918669, 37833842], [50547579, 72501898], [21696554, 27202918], [13533214, 99702277], [42583896, 322754], [48165854, 51694140], [8406654, 43345200], [58984892, 4075663], [60932911, 60395052], [31452177, 32890362], [59351020, 99554782], [85512189, 1779384], [39651599, 8830537], [45429596, 69690276], [46184282, 43488287], [46066069, 1064906], [75938595, 6868839], [58465735, 15635534], [10806348, 48409478], [49271455, 48135541], [28381747, 28975692], [46151004, 63361584], [96534516, 51588067], [69475603, 49216737], [29723356, 15465115], [40506439, 3858876], [35979835, 80170906], [85541585, 94889890], [11720610, 93097618], [26522983, 59759584], [34598247, 51037061], [57119933, 49560328], [24327794, 42389291], [32867571, 10897470], [46220586, 36190909], [46166797, 92075495], [45905133, 65509400], [32770742, 48949259], [60205713, 11057436], [61252655, 69409826], [64615039, 42913835], [52970589, 19134338], [63547065, 130436], [62001975, 56212981], [13018944, 67055352], [54235540, 86863308], [94104100, 61593520], [86389152, 89237006], [15633096, 90260934], [23034458, 50772879], [37025231, 93688632], [71636268, 55766417], [28354468, 30903911], [60303774, 33086180], [93282953, 81893164], [62340268, 32456588], [49689581, 94011089], [35383723, 20611615], [19224539, 94171235], [49875964, 30203292], [97178833, 32879074], [20597644, 91165145], [44965388, 53563492], [93901867, 39353479], [57297723, 39077252], [1305852, 6844488], [19304238, 79987676], [81691989, 54924664], [47737588, 74530501], [3306153, 68012334], [1301404, 88206895], [73110503, 85931318], [74237221, 89400284], [81371100, 72189816], [7654545, 36426870], [352689, 84221616], [15166079, 37263044], [2874039, 5698454], [49258097, 42239951], [94331662, 94519293], [67978112, 82983515], [74890538, 58981501], [10551691, 76248878], [78984946, 82638820], [68509633, 22237124], [20987377, 77987970], [19656914, 81501518], [32011085, 82576364], [55465606, 98731164], [61441553, 79504637], [11423253, 58301902], [80906028, 48181438], [70473363, 50782222], [19247311, 64751823], [96102270, 28237889], [99660582, 10313374], [67436051, 113739], [67870434, 52157813], [70061418, 2644386], [15056227, 47907089], [21675746, 41370871], [38146181, 54681776], [37869922, 75841161], [77784678, 36562831], [69366, 89351346], [71263323, 30592898], [70570549, 2452788], [76595960, 63067285], [96777470, 583069], [20347910, 96445098], [21618179, 21579133], [61873028, 25563460], [75189378, 8278434], [69697012, 30626877], [39999761, 58821910], [82186208, 82641174], [56362150, 85430952], [1731648, 61144417], [58081974, 63373667], [23741341, 74138864], [93064384, 16403692], [763122, 38336339], [71676265, 31549077], [38209554, 46642026], [6673112, 25854737], [32127243, 33021085], [69154570, 28337794], [26311809, 95874787], [44315347, 56242207], [80719134, 93395015], [5591386, 62026870], [31529502, 27197401], [53715468, 72214645], [72177082, 52000482], [92776663, 33482521], [37794495, 41199332], [90506044, 32962095], [72301506, 22641060], [91349162, 58975258], [45197713, 70658051], [21843180, 94270883], [46534130, 48713626], [97133932, 37544159], [57943771, 90436866], [91682710, 31003418], [1329535, 44872354], [77394005, 43358159], [4986446, 74022420], [71755269, 13152502], [5639708, 18836199], [79251523, 80033972], [21362760, 51250770], [49736588, 8860657], [45233392, 89301481], [81114537, 26200407], [19091276, 61801245], [62330556, 7629392], [79728391, 94252059], [58304257, 19645429], [81712218, 20009420], [43175503, 75194224], [19846097, 89891262], [86382783, 64718308], [65211463, 85969567], [17546953, 54360556], [89392927, 93717328], [43313693, 10182283], [97954575, 92081015], [53881831, 1420133], [62119074, 94028719], [37973589, 90568362], [87420654, 16762481], [76703990, 70974239], [8612536, 74613957], [78013572, 25340674], [2539491, 70857993], [43398649, 14634739], [90493977, 49759818], [72147289, 11278629], [59783678, 37334881], [53402778, 3401160], [35001370, 15357222], [79487582, 25902682], [23155708, 66605506], [74299024, 20585359], [18856483, 63197471], [98489782, 76010710], [27926288, 99116527], [89797769, 49030826], [67874316, 79518036], [94727468, 27299368], [98918365, 14137857], [46825785, 72460270], [78627901, 99020922], [55168216, 58203156], [59149781, 29082862], [5444518, 12843976], [26059681, 51769997], [86304663, 28567996], [8285079, 60892506], [33452496, 57798031], [17434357, 39251710], [73000462, 7278572], [2215268, 31879961], [22304742, 83737167], [4161700, 17762387], [33987420, 72706993], [32483254, 48053523], [27382149, 31330269], [9778795, 42512890], [35603094, 75901389], [72934716, 31906102], [39285036, 46390490], [51672264, 27102100], [77894591, 50750408], [35996151, 12522955], [72530805, 15570408], [78343375, 91899457], [20384247, 29953338], [3817080, 21091347], [65583989, 46873754], [50658252, 8723788], [2635807, 74713065], [73663972, 34299807], [32044696, 7008145], [96436827, 87366012], [55240005, 1592979], [32405458, 42621987], [67076585, 32918817], [61084969, 38129365], [34276837, 97104300], [65338969, 42614462], [47930280, 30689278], [28457372, 8148670], [98742921, 44499930], [55984423, 14682961], [93159833, 84801773], [97517157, 62105648], [36963270, 79590914], [15263273, 41339242], [39681168, 13994497], [80493924, 75095087], [66216267, 97292765], [73000236, 92438693], [26857745, 13603600], [28103325, 58036019], [30775692, 96699447], [14945148, 39127975], [7486637, 37944612], [37353049, 19999628], [73920641, 33403275], [40670378, 9887100], [55326204, 60259337], [94251086, 84264455], [77460204, 97709131], [75017298, 86991254], [59964104, 96026413], [18673958, 30495639], [89195649, 45632867], [4311786, 75473950], [37395046, 71327055], [59647817, 36589590], [82343624, 89482705], [76812224, 74764501], [83374237, 67443808], [52525360, 80709730], [34966741, 97762330], [37965083, 47406955], [30179775, 69664911], [74563446, 60666687], [41323095, 14781358], [81141645, 887510], [22068941, 42070312], [6534158, 55983026], [25939309, 62443939], [94565800, 99582396], [76646370, 47504408], [53245727, 10365623], [82499982, 80669731], [37083613, 24223897], [64146521, 44490890], [40931693, 38994450], [99994158, 41806308], [50425155, 74661377], [56952281, 35303415], [2772981, 81884061], [36850490, 2370344], [98851442, 24949190], [75857202, 29750497], [1707900, 94879074], [14356462, 31909418], [38139008, 15966250], [13403533, 96729857], [9982419, 81979749], [76970156, 37295274], [343143, 89358024], [22903623, 19313777], [3584738, 7095508], [46199730, 4957578], [95490298, 39599631], [62356035, 13981044], [38082112, 2261217], [25266794, 47491830], [15301123, 27759427], [45251019, 38646503], [68769515, 17058633], [73285319, 94114599], [46552894, 33124590], [12404552, 34926045], [60092698, 91453417], [79429456, 46181306], [99990645, 99362214], [98188879, 35058488], [62486324, 75239948], [33276286, 21095668], [65413946, 53850737], [14297322, 89643126], [60456968, 41970381], [6364299, 74064453], [95081338, 99527745], [35311834, 1814464], [71102517, 37597014], [50631870, 22028930], [47144448, 55795577], [93462429, 11619517], [59385668, 48966813], [60254030, 62390617], [21698984, 9752699], [52056988, 67005926], [6884692, 28749945], [53719068, 18666717], [84845440, 552247], [55329191, 57519913], [97994672, 84288482], [92975280, 34104553], [87598635, 54169140], [90158143, 65581258], [94362714, 34821859], [57674813, 92298257], [52528170, 4229358], [45053077, 70082390], [77057993, 33066688], [76134086, 20957262], [36733551, 84168534], [39000089, 56859567], [34553006, 44467943], [30408294, 20685414], [81466849, 31368430], [64073887, 78602885], [35575463, 62979594], [49011233, 39894832], [41977634, 47362449], [42252089, 69728712], [9268092, 81188065], [2064591, 1588127], [84960456, 30134713], [45951333, 62266155], [70688159, 85490563], [34607921, 13945927], [29704612, 13235129], [86539226, 16891796], [58221452, 70780586], [98624868, 41537155], [56560604, 46845244], [92448781, 43928379], [40316678, 76966257], [93709100, 49430453], [65408555, 24938004], [5412870, 13280702], [54040690, 91533764], [66953638, 77292053], [53067275, 62317368], [61698721, 31720888], [2682701, 95486928], [14643980, 73095413], [1597372, 56048696], [38523241, 18350060], [18705490, 712296], [6997961, 93732214], [79960503, 44099445], [66880160, 75142692], [5191809, 87306781], [27465086, 79843259], [58807039, 5721307], [34743443, 3294310], [10640288, 72896148], [86494777, 60862510], [65948138, 46770255], [10416478, 44780903], [55922697, 73802004], [8721606, 96582579], [97772392, 45674139], [26136539, 20775967], [33532140, 62789220], [17318981, 4363215], [30264580, 9471743], [38911367, 21773089], [13610245, 93056861], [10664582, 69582309], [50812076, 41456736], [75011731, 53480453], [45262982, 87238184], [5783718, 8737659], [72886418, 43961243], [5820210, 75941551], [41052054, 92119248], [4578135, 74242149], [22218411, 13287251], [42101558, 48564667], [73545189, 70265913], [26435032, 17846261], [79839348, 24533121], [36513517, 83396649], [84210007, 5734616], [12265563, 3861724], [41464989, 90189007], [23825452, 46317625], [14984355, 1116885], [39431541, 93817869], [83100853, 82987292], [7799868, 2173433], [5665829, 37771243], [42147320, 29408781], [60588742, 93945052], [79179336, 26944023], [74259820, 80571937], [42494425, 52118925], [31670117, 77354949], [80333016, 61806615], [81618890, 11634420], [47773055, 82212059], [45385848, 95192786], [9636801, 55417011], [79141702, 47898930], [62020925, 16605695], [35453309, 81823023], [71664817, 52045049], [2967392, 94646699], [33742251, 98650199], [3622030, 51504276], [18594056, 81640488], [58579686, 37787653], [84451384, 49416746], [59446065, 76002390], [77805147, 84722109], [57889815, 28135165], [35821909, 73866540], [55111544, 51369375], [33767351, 60329797], [30493880, 96647782], [58087544, 79541743], [4380839, 96691048], [20695633, 32860498], [21899296, 69510272], [63353197, 7048476], [92948647, 17029796], [44227612, 13750923], [64362670, 38983559], [68622747, 18948767], [5921993, 98869862], [1202749, 23136647], [61038953, 4455762], [73616797, 95538093], [7242434, 50684909], [26839592, 24699305], [87638478, 83751656], [12346, 62318415], [72046446, 56157711], [38966396, 3159648], [32302222, 66023887], [10091134, 57534184], [44762324, 89674690], [16984559, 40703316], [11635529, 83067991], [6256059, 99329226], [86553501, 19803914], [7920513, 38628617], [53594406, 17249333], [53017238, 93378929], [58690287, 31834813], [72243695, 10815653], [14351897, 94235740], [98493926, 68403303], [55840302, 94947576], [3710905, 96574448], [17143342, 68213961], [92218706, 28968330], [41562076, 28853651], [77047794, 80284699], [88860818, 22635948], [53744250, 33762958], [9815713, 41107117], [481474, 59722693], [80903183, 17084109], [89359978, 48377884], [26361229, 74284535], [19217798, 46793508], [87332138, 80853183], [65435519, 59621535], [96415421, 24631598], [93291281, 87631424], [85652563, 74464742], [77305459, 72413159], [59399631, 30923116], [62027509, 87656856], [30382122, 34459073], [67679923, 92066510], [2285374, 30439843], [74771840, 86337499], [85192700, 41722975], [37190479, 24243822], [75292260, 24700981], [38755606, 89836524], [70912947, 69987747], [38922737, 74612494], [31931311, 32714206], [30532219, 71481127], [76908995, 60992087], [75246021, 66120944], [75725541, 9464691], [28565688, 24501443], [31249894, 20689191], [15167405, 25836128], [79360317, 82152614], [30975800, 18033709], [52065135, 79226841], [43899367, 69490621], [81213079, 43168644], [54604565, 31721381], [20222654, 81630508], [11915380, 41842902], [95540073, 92928022], [18024456, 52816392], [40982142, 5377802], [12870354, 30770380], [21346508, 3714786], [18345721, 65603324], [50003621, 35032127], [9188961, 17126883], [49607327, 4316194], [59897776, 84827563], [52906638, 67283805], [52306512, 14876137], [51123099, 81836759], [41213069, 56298534], [80963918, 30864162], [91585057, 27265260], [73155433, 19565949], [38827806, 48339879], [19310047, 75201806], [53567741, 28800506], [12277110, 23231444], [7315941, 19160431], [76197932, 83654687], [41153075, 47488300], [81227565, 584106], [8206833, 77465243], [87464692, 595837], [88026167, 7800409], [78895755, 70399966], [31338125, 85815036], [36975615, 90747143], [11575419, 30729957], [33545646, 11436353], [92752007, 52067827], [46551428, 21567760], [5363453, 73816293], [73222638, 28313554], [77826846, 40847346], [72406048, 51064028], [58500813, 42404005], [73486263, 93715721], [92897228, 80558454], [82356330, 93331072], [14126512, 59033226], [97301454, 40078456], [56270606, 61199971], [41131368, 83502579], [86733273, 53131975], [99679117, 27858576], [33166345, 48672299], [45035883, 59628955], [41166220, 4203357], [86825121, 54614941], [95351343, 52251417], [40724214, 25152056], [81543415, 56784178], [25998447, 74657049], [74604194, 7874945], [71946240, 88935689], [95484358, 50565945], [76283006, 72814953], [44943146, 26963984], [72068546, 86277143], [31675301, 44984706], [99192797, 90747741], [85676564, 61165630], [30108452, 14603468], [91579440, 23176241], [45217189, 6835568], [49479464, 44415307], [67271917, 11183036], [19392434, 66751180], [41429063, 89827648], [28464689, 28892242], [84821212, 70185684], [16746596, 28113178], [71603729, 30550114], [20573493, 46127826], [56577781, 48117265], [86609507, 58394098], [73227192, 53219576], [63100000, 40759384], [35040688, 90600997], [93770787, 73733890], [94452248, 13074416], [86699323, 19243814], [26844143, 20941001], [91008562, 52236038], [3766489, 4474176], [82042794, 37135674], [97619732, 42734393], [95551277, 31959880], [93909046, 94211423], [56113597, 20178887], [10354076, 95352742], [16097635, 74409169], [58286580, 90705734], [10614971, 2232511], [44501046, 78001173], [70384749, 70950103], [88579654, 23640653], [77865833, 48610034], [25234645, 68764737], [75856828, 75657044], [92046903, 9753370], [48417587, 34474584], [97476007, 32137011], [61116497, 12086933], [76915605, 22744616], [58123435, 67252572], [82598337, 69337346], [94936727, 64123473], [74376082, 42411899], [88234062, 53777638], [47261085, 53911634], [39845398, 79034113], [87114532, 94640951], [2543382, 49169683], [80228542, 33440506], [73452678, 81048777], [53336500, 99051110], [99011136, 48703226], [15600185, 79730914], [28441653, 85143409], [85844197, 20725991], [17190927, 45648366], [33196026, 60775297], [11698104, 82670513], [13600944, 16306237], [60676355, 43407095], [68664362, 99513403], [40670329, 64823647], [99135160, 10397901], [1652920, 5063801], [27596954, 23574492], [97931664, 36411904], [38828537, 36930473], [130728, 32819896], [53334877, 23724327], [53388025, 82674233], [8895510, 68666595], [76275337, 22633979], [84690905, 92461980], [76822936, 22607395], [90535661, 58800603], [85238887, 25703576], [65871144, 65786287], [83996505, 31855545], [72771049, 83748875], [37100945, 49567199], [68647093, 64720959], [84263063, 7888566], [33239606, 63346157], [11383333, 8212510], [2560152, 86572786], [39716385, 42423709], [67716138, 96851779], [12410194, 22800068], [36999502, 78993013], [18803905, 78219723], [53397044, 31172565], [47725063, 66178999], [99605423, 12752033], [74800753, 92322202], [69061791, 92918927], [14337637, 59767030], [44859055, 14778624], [53728805, 78722829], [59954542, 75143678], [18717947, 35885168], [23100748, 65414832], [35915963, 31757911], [30498973, 78584450], [16085128, 98952150], [8640496, 29318623], [70209154, 72303661], [74307876, 93863036], [96049617, 98032462], [60127008, 39112785], [51553639, 8701734], [34112725, 24978968], [40798826, 35050493], [73819003, 65050046], [49291045, 10473408], [30875912, 40440056], [78623974, 13553941], [84807156, 55142234], [75707272, 31835875], [22271065, 99288888], [31163027, 26250101], [59580604, 37255755], [13116106, 75280889], [41706081, 94236836], [67964353, 69884682], [83322543, 68176837], [81707527, 51864292], [56474368, 98377693], [44624236, 37265998], [31704582, 52386028], [34865230, 21579424], [36998200, 37197883], [98551336, 74853836], [76943729, 5047208], [89684111, 71899558], [37936487, 54776593], [7457916, 61336718], [47940751, 93119594], [36329890, 55277714], [36179886, 43344113], [57771419, 98598233], [42757060, 24166791], [68540757, 84251426], [66584466, 46139693], [42174534, 33716381], [60458504, 14678214], [99283527, 50242373], [95433547, 91254202], [9960569, 1983696], [78827735, 84898979], [9622332, 5785786], [7332155, 34145675], [98098132, 60856731], [18710017, 25779107], [60436600, 48530861], [46279543, 26297209], [80339946, 49678214], [25369140, 32268928], [48381667, 47955579], [95526850, 50247437], [65926914, 64462408], [17951878, 11183890], [9498470, 79893715], [31477310, 71892156], [67731231, 35733756], [78376593, 14316856], [70753295, 12314656], [53098091, 36270961], [7596164, 36978024], [88563851, 92965586], [49562195, 13030804], [81579504, 587803], [39245981, 40742712], [26653963, 87050984], [32298387, 54625416], [90758309, 31291352], [93029819, 13327852], [4164853, 90804571], [6025644, 42147285], [51447383, 80719770], [52541432, 93075057], [38312053, 94463688], [19260828, 98039867], [70800285, 30021763], [56179677, 17050678], [54860425, 62402865], [81332662, 42828139], [92397293, 60961517], [7378193, 52260928], [37612474, 54906534], [4099097, 8798853], [22584319, 30656160], [61277311, 76468118], [50925331, 76951809], [12235596, 6934274], [86987348, 15531953], [79493455, 85345825], [6260337, 79025075], [46394372, 85379011], [75987943, 17069512], [26272983, 19458498], [98432065, 25631761], [45279929, 99255648], [85378072, 11482927], [29553415, 58437362], [69128341, 95965688], [57910425, 27564774], [18286759, 53819483], [76855171, 62307496], [36532759, 72966334], [47490545, 44582155], [90920166, 5775822], [23813781, 90588355], [99080351, 52747700], [72052910, 87192784], [35025213, 25904371], [12151601, 84994197], [17066683, 46728885], [65747507, 76669229], [38956905, 10055159], [64255242, 40483982], [70273426, 59303551], [24909511, 97210893], [19753200, 82616554], [84670248, 28281776], [91521103, 51387258], [62246517, 17940514], [35417607, 25017075], [23599362, 1005807], [28279778, 75962181], [16341081, 42737994], [93137672, 19979100], [46882623, 79360562], [82173716, 95866317], [73722207, 2394252], [20385692, 44757992], [4127868, 58399815], [81764857, 53542891], [85409216, 34661079], [57417778, 29081690], [79392520, 26541220], [72035290, 12084850], [41571480, 42553259], [66340085, 81138543], [23824674, 78479756], [47695935, 46378934], [85274367, 95981872], [51681214, 55584106], [12814116, 97319937], [46065656, 92416224], [37834810, 69068634], [1690124, 26590992], [54730942, 89757323], [99553422, 87712016], [45452522, 5306997], [91692686, 5203334], [85804648, 40259703], [73387856, 74646423], [33044595, 26766322], [13802680, 2524424], [64215365, 88937359], [36210755, 96160942], [34633546, 46215439], [40635298, 5345448], [70579248, 71645917], [708714, 17572815], [67815470, 53431157], [59809183, 37495031], [34616393, 63312123], [26846857, 20609756], [7199360, 32536106], [28600318, 77242271], [38202178, 35272035], [54869649, 35424489], [87436794, 2518352], [12554883, 76003825], [51450227, 70522928], [48567130, 10399781], [67020250, 9132565], [18106046, 1509399], [4449382, 40818506], [84942494, 20118944], [48546578, 46360536], [75890889, 1888870], [8848920, 42696131], [34827221, 11153439], [4479345, 2294163], [58931746, 21813087], [96368383, 69635015], [3974339, 85930408], [845480, 60162164], [33147518, 23709023], [1297943, 38978778], [60296235, 51615962], [19414481, 2285382], [35309180, 67887539], [91185716, 63294145], [48158143, 69985336], [94289657, 75556501], [17307520, 63286950], [33053886, 43862109], [93054413, 88919684], [2288331, 66989364], [21970707, 80504093], [43999213, 51139789], [54825024, 18742680], [63071175, 89835585], [6787948, 48361718], [67799157, 50472403], [5542696, 13836832], [65891696, 661252], [99244706, 89372244], [30390063, 38799069], [28046263, 12548429], [63638266, 23826417], [90553800, 36757687], [77897374, 14585902], [60167442, 49120916], [92282998, 81144308], [2937989, 4928622], [82839022, 71079793], [93371977, 99312565], [27499987, 56916014], [45567561, 97358622], [19710024, 19687648], [72086178, 65217346], [94607733, 12514312], [92347613, 8101693], [6449533, 32320822], [39425034, 35272906], [1373258, 43571738], [26697787, 95513504], [88344702, 30816555], [52482085, 54057230], [34295336, 48145898], [59104667, 7949605], [12617387, 61373538], [25379783, 35803872], [46415839, 9076392], [37031947, 22688020], [14669973, 86812984], [22937953, 49189716], [30301929, 16321575], [55430514, 8378188], [26494029, 92252029], [27896224, 48647785], [47521484, 71258186], [7691993, 5890382], [88759279, 12115653], [72839107, 90108561], [59010105, 67682273], [74289374, 92539658], [99967812, 87382119], [62112898, 11822288], [74853125, 99105664], [39688158, 51930140], [62192220, 7971627], [95641813, 39977127], [85285156, 45534952], [96122804, 59637740], [16985338, 99368320], [45833877, 65783031], [66155201, 43723498], [78958519, 63983213], [41440354, 95292762], [46611739, 11632212], [21321869, 13922230], [70394964, 43590951], [97223148, 80711350], [88536505, 83951508], [92128485, 32465080], [34088910, 93533875], [40739997, 63749886], [53928901, 30147447], [58091870, 2929760], [97127933, 35405239], [49730386, 77742943], [88691459, 9215846], [54160456, 28181760], [4941692, 94624446], [87868977, 51521938], [19501099, 5454039], [84071573, 4043177], [43696774, 2055727], [96938275, 72781633], [78651062, 13114635], [65016806, 82986969], [80454904, 12738653], [5187597, 20044350], [33211447, 19235924], [25994755, 59665264], [15495642, 32544307], [77488971, 66474054], [80949461, 16239320], [34975359, 86268209], [9749891, 2620485], [71081870, 96811423], [63909926, 11400884], [27005795, 62543589], [16635425, 94142053], [79819881, 17268521], [52652872, 31157192], [96513662, 18148920], [87518011, 17025738], [68911658, 24615238], [76574509, 89546740], [62171732, 96221999], [79497409, 98951089], [57497497, 52192116], [37367750, 68455942], [49397393, 89055957], [1075446, 32290194], [80439367, 66644672], [70493581, 93635452], [34865333, 33718407], [38398898, 85078985], [22202878, 60149372], [3114745, 74152674], [78190644, 26680925], [9085098, 1253800], [20419702, 34779858], [9865632, 10069957], [81375251, 87488051], [86215087, 3707435], [82266484, 50129771], [18297694, 82919959], [99301936, 73545409], [85594317, 33962165], [83727698, 84608584], [73118904, 1134552], [12575904, 39727199], [37372252, 5550125], [67972400, 4501997], [86365634, 81791536], [75720870, 84561259], [67935256, 90084963], [63400595, 74079572], [77991314, 20178147], [77625077, 9041943], [52883315, 10621401], [29246024, 26851105], [25428529, 81938009], [92888837, 66427910], [70824532, 40949633], [14213674, 37525832], [52827340, 86735023], [56979057, 62581248], [25008335, 46979139], [94501841, 37550038], [29855962, 3236993], [10249360, 53961829], [72517231, 36109853], [30781947, 28585947], [75103566, 69562292], [38009833, 69475337], [49745276, 19354950], [26653811, 58331004], [54523477, 45673895], [77781033, 70461965], [73179158, 10089562], [48526504, 6055679], [60488030, 63560812], [73407663, 26337259], [90021296, 31128652], [59597630, 43795691], [91015537, 69849567], [33720382, 41879342], [78935171, 64641229], [45427305, 17342793], [54557951, 92104481], [90371043, 7753113], [41197892, 2279417], [72507168, 81216848], [26171634, 3301939], [23742553, 46878393], [79119795, 28825597], [98067432, 9166439], [96359118, 56299236], [94164044, 57101560], [19266148, 91351794], [39441503, 34219469], [40938371, 61333885], [99257051, 19477231], [98376506, 73792798], [57092033, 77537524], [1409833, 61443856], [3292342, 71106972], [39870415, 82404035], [93429695, 17870622], [70283538, 17343994], [76333386, 38495055], [32981513, 49182387], [33570700, 78024352], [61477932, 7693439], [68333862, 20657802], [52826154, 21505590], [71937881, 94629136], [31276979, 3759806], [26967558, 33004018], [53001786, 31069013], [95197522, 16821649], [70242541, 18973872], [55332232, 27526193], [30010696, 71044160], [55549301, 83358643], [19808287, 76295470], [86005603, 64144372], [49663900, 92496706], [11920546, 59859281], [10344168, 94165659], [28403052, 29538504], [7149033, 17856409], [98532378, 3686720], [76299519, 71147654], [2179711, 19470798], [85881339, 20609801], [65060945, 63336348], [67288946, 11199589], [42009169, 90424405], [3464626, 48694102], [47187995, 95039447], [61838639, 22877940], [2764314, 87802114], [32356853, 95126703], [95995922, 47379527], [50000241, 12818832], [92178114, 55187596], [61962786, 17730187], [21235216, 30868861], [98596224, 21989037], [95617063, 37675333], [56542850, 56142987], [30382853, 28772464], [16975533, 83982513], [95620692, 94482060], [65386948, 79817365], [98314554, 94955103], [24822566, 46372179], [66330207, 98296014], [53368399, 14808042], [65371638, 66188375], [10335414, 7274511], [35805537, 51293131], [98146170, 21127084], [59635300, 60053024], [2118228, 26112338], [25560723, 28980830], [31363094, 12323723], [27976028, 96892505], [36432485, 22329505], [87311110, 12235324], [90498867, 20319972], [3467788, 7568745], [62726970, 6169145], [55503680, 87414360], [40198503, 48461787], [87732327, 38043225], [27272093, 57917611], [90949347, 7113548], [75794182, 46996272], [77070892, 26205961], [68301411, 45435820], [4977963, 95846760], [15608693, 25536637], [57652293, 20905544], [83121747, 9917124], [50053639, 79582625], [88966268, 89711306], [87333022, 89879885], [17392924, 47591454], [29232393, 38231070], [31336097, 87875607], [73238669, 71669360], [93595192, 66008069], [67913313, 73405750], [72802698, 49167376], [70782076, 26317242], [11235225, 92330278], [92695226, 25571791], [3204510, 87440099], [79635663, 28668810], [26682293, 62577698], [63323261, 54677075], [1715620, 57423623], [96752531, 67397864], [84066044, 1623479], [35851211, 63270042], [34315498, 22975462], [29315062, 41123006], [78193511, 39413792], [72309342, 10677013], [48828052, 11700212], [4104666, 50123967], [46487683, 60310000], [87709297, 91831900], [19391385, 85794645], [20178884, 42168517], [13134431, 78295556], [38510768, 83348750], [12423969, 40554556], [30956372, 21395260], [58484719, 33924213], [93286827, 50923357], [41265875, 1769938], [22115985, 20983162], [69627914, 36515050], [87631552, 96763770], [74936387, 73877110], [48092078, 16287568], [43412812, 47599649], [81800660, 32641394], [84616216, 27302694], [31447052, 97368595], [31462261, 32268056], [84854594, 18372502], [78824997, 66467931], [51470684, 71289223], [9555859, 20347965], [11310051, 71716488], [67987001, 10179332], [50936870, 79272224], [65291301, 9983926], [83490923, 73304534], [48341258, 56735012], [42967595, 2679548], [46634688, 66800444], [74664038, 40134162], [26375179, 67937094], [59807962, 66104554], [60442860, 62027700], [70599069, 42892430], [19721251, 93774532], [55278157, 31503732], [39670167, 56405657], [98653686, 75023430], [92785137, 604009], [25494445, 24918726], [31966772, 93935561], [14573022, 41408341], [15219739, 15856448], [10281935, 23073885], [24001265, 49527219], [38806545, 33784356], [10344764, 84361254], [58264560, 31953444], [25440053, 6799346], [79920207, 76498020], [12619123, 72765618], [86658279, 23223613], [15531715, 54109595], [28074067, 91174105], [40952230, 92408578], [35533968, 27397056], [45576856, 91415936], [59404906, 52851696], [4471044, 37059837], [61598215, 94841116], [67634955, 16433527], [37188066, 22952289], [25769520, 85641164], [44790187, 81496162], [91765909, 12398530], [85317373, 35397377], [44253114, 61357376], [18210017, 77228173], [15579002, 49423527], [45074289, 83101960], [31420166, 25069826], [52224528, 33776126], [33971757, 31487438], [82915937, 40117968], [56679828, 21123867], [81425477, 81274844], [53141220, 62241000], [554775, 89554515], [52891160, 98468499], [53169337, 73388206], [40158019, 7498619], [53198457, 86551372], [70911007, 77083588], [49922287, 83908234], [9083476, 31944474], [23151172, 43682942], [92329061, 96018693], [66376924, 79018792], [49117534, 75951228], [51836732, 4710537], [17165834, 61608605], [58729441, 99305784], [57773915, 67742570], [61684363, 92210286], [13434191, 58637740], [2257411, 46282081], [344120, 4202540], [99723457, 20047385], [82520818, 51654436], [27659098, 27490264], [18439273, 77419255], [27823944, 85371408], [62805367, 83709073], [25826080, 92740637], [19255994, 16264471], [74320709, 32489779], [18169674, 34039822], [48814756, 10505331], [62334247, 9340153], [18936657, 82566981], [64565115, 60501614], [61599479, 60725643], [87472106, 26257510], [2636813, 35020589], [72751751, 27395817], [94941008, 92178850], [43892242, 53879648], [72280410, 48341321], [29614115, 51208161], [37663637, 58083900], [15353139, 95483435], [95520073, 15923325], [14581031, 57046824], [42672765, 2151298], [82602934, 70331743], [32652792, 97575944], [13855668, 96880183], [63374928, 49764617], [73501251, 44019537], [15381223, 53229757], [77467547, 56361418], [4013509, 71842092], [75826229, 83197273], [71726048, 19749729], [11168476, 87407141], [46380028, 83734849], [61766529, 31689092], [85901825, 58182814], [82808377, 98239519], [11590657, 12816564], [24463040, 42193043], [75032277, 46224585], [22209830, 37249798], [11372511, 82973778], [34589467, 20683137], [22441355, 96724262], [58941353, 17919760], [67159164, 35820491], [41304110, 27984646], [74314725, 53868747], [13437620, 50589678], [25807539, 21628955], [28560327, 78572157], [94981019, 31456542], [5554164, 40972929], [19239742, 18188206], [39950122, 96686208], [62585281, 57418229], [52735084, 46030838], [3323484, 90074502], [78216724, 87888795], [82990337, 68578857], [12596368, 99659481], [85565730, 31853869], [20950324, 12065332], [13490315, 41748765], [97552235, 52797267], [81717965, 10540657], [69736027, 45919192], [7455644, 24927364], [24013606, 28948148], [40110040, 29325933], [5458431, 14012955], [37533217, 26690140], [50756041, 46416246], [65308835, 7206775], [42429272, 19045279], [37880113, 72665942], [60161068, 68373681], [45281218, 67417036], [6130897, 54384372], [2918303, 13423922], [42884471, 63637290], [66943226, 80465309], [69873660, 31571811], [95814451, 64474522], [4600960, 11347773], [85375084, 71140608], [11871831, 95876177], [95821877, 64352377], [84297104, 17935451], [14349536, 54447728], [56468223, 34697537], [69442328, 13341418], [93655388, 57829262], [15163629, 77004274], [68906630, 52812879], [22061149, 70524761], [4155382, 60553141], [9047980, 25649860], [71009344, 12224041], [84477162, 13303441], [43138522, 57887638], [19567955, 32342069], [8054674, 23129879], [74154812, 57003], [2221558, 68131080], [1857724, 28714214], [76588443, 54058296], [42470857, 51463268], [22310545, 35322776], [76488004, 95186144], [90216839, 44719353], [13960600, 25561958], [23513378, 45461301], [22637500, 18615648], [57945304, 49973981], [73019900, 58833171], [84869152, 65570260], [81866101, 89450692], [51871605, 90795290], [5956820, 92525331], [46472633, 21083370], [42904672, 23470686], [23650541, 48379353], [75270730, 51925926], [93154380, 9970320], [58266131, 24180816], [45816457, 21548820], [57045760, 63891748], [58150988, 57012312], [7856411, 87359942], [24981913, 8723323], [67444077, 81328091], [4106455, 33971472], [85962151, 32768997], [58232582, 12976656], [57004019, 46803590], [10585874, 61534602], [70535946, 85899973], [64287333, 83543718], [36796968, 64485518], [84222885, 90899491], [32712978, 60394567], [2628137, 34742853], [61636956, 28622951], [50314912, 92980089], [72485036, 21866362], [21634276, 54475837], [59060573, 15083838], [91570468, 32263444], [66263506, 83648687], [88480393, 43408671], [59930626, 48460786], [88963001, 87176475], [11858309, 62399348], [72270384, 59734653], [38401197, 87499799], [39527749, 6106560], [75128340, 68214552], [13035285, 66380319], [85457400, 54672749], [66146598, 13220021], [60171510, 13858472], [84325721, 89144803], [93940663, 60792060], [76443024, 8907358], [30818766, 50937177], [14258820, 59717241], [72588867, 25034027], [58566186, 81202223], [58215782, 55875208], [89588352, 60377629], [34278140, 17172527], [25099738, 79742333], [37817026, 25682206], [54109985, 15058772], [43354731, 53616268], [30500382, 27274952], [40910251, 38536064], [47574869, 19967802], [20333447, 57599750], [42174991, 89959340], [89411188, 65685584], [49310702, 68677848], [55895168, 13623765], [75893121, 68824763], [48019977, 4466237], [33383790, 87609890], [47851182, 86683672], [24614013, 99593498], [21137051, 87840568], [93623776, 9898417], [28118533, 91533512], [63373105, 64962407], [92961313, 30441621], [86399930, 89183309], [69070098, 6055284], [10734550, 46661415], [64342316, 17436545], [51239510, 52172845], [96954888, 89739971], [39576698, 16606314], [59344708, 76206979], [77293537, 82778374], [35927657, 87039121], [36185354, 37330368], [33732214, 42893357], [23208574, 7887347], [39452237, 73925146], [57079469, 23196310], [43210076, 78038955], [41989264, 76975481], [25436058, 86331069], [9876180, 93056413], [6925882, 41688647], [93426877, 3524639], [35783564, 94992681], [90994036, 60491668], [22774473, 4309126], [56969871, 69575604], [28837258, 57175561], [5504928, 87696527], [86738495, 88253398], [25130992, 38644623], [46168453, 82249680], [76144592, 12357496], [97728727, 54812567], [88976408, 92159886], [45240731, 59191417], [11118570, 42331461], [29899769, 40684420], [36827385, 12396146], [11975738, 86419527], [29131036, 36396826], [25303861, 86182771], [34153282, 78505619], [76449116, 75473929], [41108811, 12986311], [37208424, 7389507], [22368079, 39583130], [15124158, 70066092], [33343066, 66666403], [70128698, 32719894], [64826332, 54481863], [7869864, 61818884], [2580616, 61059184], [71841634, 61731471], [84879493, 73714773], [11384229, 51017759], [99108150, 10230712], [73729578, 11479495], [96772940, 13262459], [8207279, 82675184], [29927314, 25617341], [58684741, 40714075], [18533844, 73688139], [17684075, 80707498], [11853049, 37934919], [84420282, 25312416], [8150731, 92413815], [18065968, 70530567], [99262294, 96288826], [56275818, 71599114], [97969591, 99780965], [58586751, 79299490], [44946821, 4396500], [88768854, 28399161], [6012966, 31379770], [79014198, 20564833], [3480513, 58081917], [45235752, 33516449], [23141316, 50121524], [32099450, 89802741], [80918951, 19686047], [32241901, 23752701], [32454498, 46849057], [95646818, 3786223], [5398000, 98502779], [45757667, 17819240], [85710762, 42799990], [85180222, 35923067], [69646784, 18425793], [83842797, 43834707], [2312479, 18238943], [41147896, 27612205], [3976066, 92091210], [832158, 83327542], [77361758, 75343068], [53144441, 27157670], [98364757, 7644332], [91725072, 7667768], [89322309, 89401239], [43912157, 18617485], [54351257, 64419988], [4762825, 33007496], [11465844, 40364102], [85282797, 35701432], [59344971, 87529115], [76220385, 13783100], [86661665, 10976308], [83132530, 9002785], [72998520, 5975948], [4134041, 92060371], [57214921, 41413843], [49769701, 54773223], [78237911, 14171131], [6413778, 5144696], [11910856, 1439256], [37580752, 90824566], [89440493, 70924521], [43143918, 54447145], [35315512, 84465347], [55109133, 96066834], [47556669, 92768175], [99739995, 89053979], [7399430, 36723566], [90065601, 46233178], [9265336, 76524970], [19256724, 10775233], [54956085, 65169333], [52610490, 37093876], [15067358, 54045895], [35110986, 76956838], [78365274, 79825525], [94175927, 30225193], [67663745, 51526702], [89846696, 86126228], [95240436, 75941611], [83814901, 23616863], [31483330, 78798597], [130544, 72615619], [40740206, 69229084], [25817160, 33712573], [19196256, 73438352], [62493229, 14280515], [42951381, 7551333], [37694863, 43443554], [87360004, 90220840], [53082645, 66657243], [71095655, 30624735], [80210748, 18025882], [81221673, 97546268], [47015267, 79543872], [57456492, 78623277], [50780252, 81512266], [20835257, 70806136], [28322333, 62542853], [19319879, 76497789], [39398412, 81466702], [55212507, 64096115], [21084522, 5155706], [4795632, 38613497], [1825626, 5913735], [45845843, 87138610], [23242102, 82489259], [31263354, 39352389], [3266707, 62395813], [59364782, 21660163], [49316012, 54107278], [93803650, 81989314], [1553351, 69336741], [99801315, 45297404], [50083933, 46226717], [78256660, 63852458], [53187265, 87401417], [3227034, 85996700], [6592658, 92919589], [27043573, 56956150], [69803659, 17373648], [23336684, 45846224], [86887959, 86265577], [53707900, 16077283], [55300797, 68729682], [77265476, 20284677], [66280767, 77778044], [31526669, 50344439], [27100329, 66977218], [53040411, 40174032], [6964028, 39998415], [46593479, 32857460], [18839035, 55321127], [47729920, 31896945], [87866073, 68977002], [48180060, 18400447], [48530061, 67911619], [94695320, 59157950], [20599926, 46383393], [59570571, 55023577], [18077351, 19651239], [35769880, 83506422], [91619453, 62688229], [40116616, 95830367], [79164345, 54436025], [94998719, 13028082], [16026678, 23025851], [76914597, 61157932], [12977950, 763376], [29068754, 8195732], [22721859, 1800777], [19631969, 2363471], [26535211, 8712484], [54243691, 99526646], [14906314, 51109182], [64642478, 66678103], [96324216, 94034339], [75521453, 3699526], [13723563, 70737887], [57493960, 95350961], [78218644, 96916657], [37903346, 76385548], [79317676, 54449559], [13154748, 73950800], [73596004, 73645611], [50350952, 98367310], [87174727, 57104068], [76601951, 86396936], [44899562, 45454812], [33453255, 86185231], [13099832, 47379198], [67443222, 95577436], [51502467, 42351982], [89148202, 61030080], [81832384, 22311577], [70526182, 48677353], [27294978, 82357990], [18558084, 86272921], [72407572, 49429669], [11164927, 47593905], [7305839, 86941382], [41753743, 57896281], [63101625, 66374459], [27158801, 17134136], [37751956, 55486536], [69916524, 11787717], [5436838, 54949642], [69519929, 68679351], [93220815, 39687007], [73483811, 43413410], [97378481, 10835848], [22404693, 43438597], [65679634, 88936568], [72955238, 49493854], [17331595, 84251933], [39131826, 21825102], [40393347, 46380516], [24662959, 58764786], [59414122, 53713131], [30417506, 25033280], [23847390, 86059079], [29994963, 6302029], [91433154, 90904355], [16888763, 62204860], [64350169, 34254912], [42009331, 78416761], [2850569, 96752031], [47261393, 82715735], [10772082, 25422962], [64817314, 18275897], [48411477, 69584300], [18123859, 94791910], [11870905, 66110064], [28856980, 63406794], [14749328, 81323180], [83474709, 85398410], [81090732, 39370835], [7616965, 27000335], [21463444, 71567111], [56454092, 43344843], [49019518, 7517439], [32725711, 58767966], [72512788, 62869481], [47175925, 11060324], [14087296, 72950022], [8277850, 29949008], [80854647, 23135050], [69903347, 12481228], [13906426, 23105355], [86558639, 37218224], [42086665, 82423140], [14773755, 58852247], [17122170, 12919103], [3097616, 40597464], [55550197, 81415643], [68528767, 50908411], [35482949, 67418223], [95181657, 2885595], [44214468, 16823860], [56897489, 84356459], [33544424, 16220848], [20547810, 52039262], [57200620, 90314398], [88050414, 68125774], [58628213, 76818369], [6715412, 49063473], [67488798, 30138781], [64107633, 27860350], [25278434, 95644165], [57464824, 48897593], [50923409, 60741666], [59831708, 76252953], [79205026, 14473790], [88236718, 72272543], [79614398, 71292086], [19519115, 9776472], [5413074, 31026371], [28876445, 52148332], [98028635, 36622646], [19803875, 39831740], [3424707, 92194947], [46415228, 70728355], [25362711, 4596543], [23635903, 16403607], [76042663, 67622786], [54371063, 20294184], [83465455, 68715266], [96989063, 24425772], [47646526, 59504426], [91094358, 95377683], [19012787, 91534489], [90209236, 60865385], [61867941, 43515831], [48144172, 5977697], [72640090, 75868538], [39809614, 77905119], [41206406, 1698735], [79766174, 96722647], [79111033, 53667331], [50610061, 26683615], [46296442, 11894536], [58501577, 86708501], [43011231, 35098043], [13398630, 91873841], [5221249, 33600207], [73617541, 16317840], [70161945, 21112444], [97860426, 10910066], [38023776, 77122716], [93718832, 2730324], [79139476, 74505448], [87143706, 19895796], [9964908, 42075279], [77403948, 1213607], [91552816, 7164302], [58401638, 9676347], [70738676, 41091883], [14077333, 95785189], [94523023, 48764833], [24053580, 63402838], [10841343, 46725075], [19455550, 19069632], [1282457, 9697031], [90021010, 49685716], [61910199, 97671667], [19276678, 48165848], [46272667, 15629470], [25314522, 74544094], [11550455, 93587206], [63113569, 1781341], [4619754, 19160436], [64278336, 75353596], [78004223, 80215007], [33877193, 93073949], [33091887, 90768889], [93980570, 80017226], [22581446, 74961584], [28880333, 92111352], [62410714, 23379521], [36997570, 34121250], [8955840, 21648565], [26042310, 91322431], [22938968, 57492491], [63483321, 62011787], [61072580, 56181904], [98496099, 58211834], [99459309, 69541736], [24369500, 81966867], [71044004, 9685189], [40312583, 19503093], [67519524, 86038171], [21700255, 42565878], [4822593, 25116313], [89952182, 43968384], [97773428, 47634075], [96935362, 35116955], [4661800, 38800872], [6241888, 13146348], [75736674, 3457914], [88195896, 58893355], [92208537, 82185823], [53146187, 27919553], [43141507, 67476528], [180674, 35393793], [16339544, 44160142], [2997533, 21811473], [78994679, 65930007], [35881857, 39329331], [1741836, 66894408], [11924790, 54948194], [45445470, 34069789], [11327001, 38522520], [89689590, 79079990], [43856181, 13896426], [64379673, 25229002], [86275417, 64654998], [14512541, 96303327], [10740051, 44810744], [76991349, 45583226], [3604768, 69169808], [37450844, 91687932], [1330273, 36630785], [28205921, 72001988], [34691739, 51371003], [5446582, 23429678], [92074072, 67355060], [71658763, 13349419], [8738755, 62040985], [36128896, 45555402], [24925259, 65790165], [55088542, 71137268], [87696748, 94181126], [99110127, 22321673], [82146140, 95368395], [67245102, 21232244], [80770502, 98075121], [28840514, 10197497], [37549291, 71254377], [45507425, 45807070], [58612669, 84698929], [60334630, 79461901], [22056200, 74116934], [54720431, 99931867], [21231699, 29014781], [30817560, 93065331], [18952597, 18532546], [69304276, 63602621], [15712696, 53599532], [43225229, 28396020], [5910248, 59272855], [52378227, 45471521], [21527117, 64335763], [57331263, 72964716], [63153299, 35225355], [51626950, 26252429], [76216465, 65482035], [70879849, 5727226], [1336066, 52771477], [81618710, 8326759], [50302960, 72097088], [92646380, 96472422], [90657671, 48938992], [13035234, 39001792], [23583850, 16408179], [15265971, 692430], [85899527, 34270681], [35141976, 8326776], [91290893, 86951404], [60281810, 72123890], [21286173, 11939828], [26608107, 80794965], [35554835, 59974932], [36544701, 38534561], [90435767, 99454983], [9551388, 7833555], [86370713, 89797785], [4289203, 16634809], [49473294, 5084892], [89212208, 65466382], [2254601, 5589548], [93566115, 95337392], [20614676, 82926737], [25755414, 20339722], [10510785, 63102726], [92667272, 53448143], [14344464, 72170003], [76114493, 83462070], [44579510, 91577412], [28035878, 93256058], [95399547, 2607390], [73722215, 94618928], [65416761, 5851139], [69992497, 39033818], [83895725, 25924313], [91107367, 38255537], [3903602, 68508162], [87428856, 17319217], [99116325, 21169056], [73948634, 14708244], [77279967, 65980561], [1957232, 96333161], [24367220, 29792829], [10799552, 24652233], [44132586, 17276214], [69089231, 3441048], [29861117, 71060565], [8699145, 46892106], [49909749, 6310951], [38265460, 23694195], [35542766, 86281531], [87592928, 756227], [29687650, 19736988], [47962263, 27909513], [48817876, 8508722], [81713403, 37266827], [13077877, 42546218], [93068482, 37894649], [59022265, 40560249], [16228430, 13719758], [74232236, 43677558], [75532999, 29430041], [66527957, 25582288], [93056779, 75511204], [88340567, 39270765], [170864, 99136312], [70234229, 37939975], [13857132, 8063013], [67059534, 14119751], [55072057, 82424573], [85444302, 64485507], [31803194, 90772882], [39939998, 71205766], [24637706, 60444398], [44251798, 92424074], [24041225, 49780437], [84799154, 31378121], [22892862, 58585046], [15811888, 48017201], [37911971, 87754105], [24819603, 26299554], [55969911, 49256368], [4917952, 78784119], [30377897, 21606970], [51701127, 60885791], [29572429, 95077851], [65293718, 50505843], [23351209, 57686378], [45583688, 42048852], [1587813, 17025862], [75194601, 12777664], [67332089, 37877359], [28622291, 44723606], [9156551, 62939027], [35792356, 77029361], [11407562, 25873690], [6420150, 72355139], [13297199, 33541597], [58056643, 27154845], [12590269, 96558296], [52093394, 18671434], [58697616, 33986103], [11606098, 94544007], [88899531, 42323141], [66592942, 84998681], [36887791, 49179065], [5985191, 30368190], [64341536, 46760569], [89322456, 99449306], [884576, 87429709], [83445806, 81965003], [64422048, 96512630], [43317128, 16583470], [32707645, 92992644], [18166914, 90745283], [55331658, 86171351], [47327497, 99694133], [20945910, 934398], [20089628, 58212872], [28091615, 98548916], [30886579, 78122484], [44671179, 26099025], [29230510, 43545634], [83052600, 80580922], [44109598, 52436121], [93666425, 98680907], [33916499, 79030218], [56644894, 78033342], [74316567, 16174286], [276397, 37749085], [33878805, 74739156], [93509766, 33161179], [24849470, 18107809], [78344425, 21232754], [92484198, 66659672], [31266952, 36037461], [81234116, 31989880], [19306540, 31250751], [40153438, 47364411], [2123785, 4505798], [1738656, 57692199], [47655460, 21480587], [11279545, 37549940], [91705234, 40950408], [88911280, 44863632], [66429588, 55002554], [93486006, 94558185], [80689820, 60413450], [8713559, 91224034], [6982490, 80717432], [59296646, 97420811], [54856599, 99679497], [78716235, 98623946], [18747576, 94737801], [54179641, 19877009], [22757653, 22280352], [65559848, 53110392], [9311833, 87961702], [61539100, 62918930], [75074504, 65283888], [53216321, 28313121], [8632847, 58446292], [86191881, 91332293], [66411407, 83908813], [97293931, 56538953], [36747973, 92538240], [82502022, 88580831], [44623105, 12937532], [33148315, 63152564], [1413182, 62906321], [34543984, 1392156], [6084158, 43932441], [81462693, 56489302], [54572952, 80853338], [72482925, 43756874], [59398246, 68700579], [14720683, 71221206], [44969164, 35905574], [20693968, 15191123], [8075520, 43233579], [57229742, 43978054], [67947868, 92340007], [1008682, 75892015], [3673136, 86745232], [67289360, 83292787], [94994056, 96908237], [40396008, 80732860], [18105425, 36769302], [23777326, 65890635], [89009831, 79207518], [27509774, 60378092], [36661989, 65855763], [52642370, 76882038], [85335798, 21326558], [43501692, 35734903], [62303751, 4480001], [65425152, 74081187], [25401803, 39413172], [60407808, 85281898], [35240596, 90495859], [26307505, 48762431], [35140924, 42396026], [16775902, 96110845], [62695027, 91640781], [76124127, 16248945], [96130090, 79060555], [29459806, 9176410], [18536494, 55166074], [78989258, 48275500], [98420556, 11173939], [46962392, 66420201], [81765879, 29090333], [49062555, 30259221], [10964691, 34809956], [2099901, 27974606], [31931821, 3769265], [89241902, 10237521], [31506749, 37605765], [30956837, 88933966], [49554572, 54162616], [77967891, 63780256], [1120244, 5266541], [78053347, 89671695], [59154468, 29091376], [15711601, 21100266], [43216852, 11336612], [95171923, 67499762], [91808228, 17835101], [8685624, 14079125], [97053131, 78200303], [37524361, 35250437], [14596852, 90911214], [45718458, 52268184], [53697584, 41751241], [88595408, 74364745], [67139711, 78557909], [12627850, 55421773], [47170736, 30412911], [78895163, 54284089], [90836675, 62449427], [94259151, 59920450], [8624991, 73062621], [97547449, 43260186], [6007233, 5169883], [77553243, 60452485], [5458140, 50577069], [72805456, 79328948], [4763465, 87124353], [89242742, 20309176], [30870121, 33329833], [44778590, 7186900], [37939757, 35321523], [43310753, 72223112], [30295056, 1679400], [43615546, 13578008], [43560722, 67188752], [20699704, 70900584], [76279483, 21523666], [5411299, 49892063], [52913883, 49511093], [42608212, 7779803], [16545797, 20643862], [76544681, 38668399], [20014782, 26632790], [97057242, 33537450], [69006884, 52802046], [72150565, 40498491], [71553192, 46176475], [45064787, 33201833], [91948517, 37703030], [11712690, 75551513], [28181236, 49057195], [31176833, 44121503], [50899300, 66279435], [81676339, 56224842], [32389763, 4654707], [87842245, 32997907], [40430898, 31312340], [33569369, 70623690], [8897034, 4219361], [51322844, 1739070], [73659298, 25206341], [17282610, 7480199], [83317784, 16584947], [4102834, 30929580], [99873169, 61699945], [5636045, 38479210], [44309322, 19925314], [34414606, 73664317], [80492193, 56100123], [81296851, 76002838], [15217016, 87323622], [22444157, 25691631], [60926916, 75956194], [80690241, 77416194], [34501429, 13075615], [21273490, 83220272], [81237817, 11098623], [89221372, 76262671], [20850510, 82888349], [95152509, 89325201], [35732654, 38078127], [40836764, 88383011], [67389825, 85131655], [75405915, 30863867], [50320073, 78827797], [6573025, 83316388], [76700714, 72651804], [55395650, 68759297], [33111829, 21205523], [41407197, 62575552], [86456006, 30351641], [26581139, 44625651], [26365837, 32819306], [88174734, 85813119], [48616846, 88039845], [98514354, 58120540], [24640225, 40758588], [27354490, 69556342], [73837716, 43012948], [47018386, 99772348], [14935354, 90207416], [31841726, 25439498], [11387400, 99975525], [22332212, 66084917], [2468089, 98767396], [22905109, 76211798], [54306156, 4607176], [53691029, 62478135], [43716862, 99389103], [39344469, 2357358], [41294427, 93406179], [78386284, 16938954], [29356742, 83132244], [20712284, 41357945], [99216438, 26920204], [54222198, 81580169], [451362, 47024300], [43374519, 6430380], [88710097, 6659480], [12190958, 88542610], [55737515, 55320026], [78052066, 19505548], [32159579, 22434923], [74034312, 36481941], [94817059, 33357540], [15735709, 6168807], [40883027, 3297899], [56181181, 31590882], [12524259, 94457274], [51084067, 16404976], [7204081, 42729558], [64759083, 3556266], [4146585, 92285906], [1366706, 26507518], [77771183, 51106830], [92333817, 69253016], [73000737, 43545150], [30357140, 14342559], [44452150, 75704569], [75788407, 98528654], [58622148, 64132725], [35928461, 32492516], [36692747, 72632871], [82265939, 3899739], [72294138, 64304257], [49399859, 9444939], [29384557, 64321172], [93439399, 12372684], [85232450, 27369867], [46687632, 10906036], [65214235, 58640029], [21394479, 68461460], [44595584, 73920493], [23756371, 1496834], [60396646, 37645705], [42379992, 61975017], [87554758, 15144009], [47734355, 35623195], [18785281, 62702503], [14554043, 57971519], [7460379, 53595719], [31218836, 85937935], [49801204, 70821742], [50152174, 87641499], [65653549, 40699021], [68368929, 86584916], [72365052, 81273309], [34982686, 72853930], [17064352, 8154362], [95441309, 94094290], [46752732, 22301293], [29278119, 88208516], [76865047, 29013901], [82557663, 38244721], [37952472, 50733881], [82665876, 71587394], [66446011, 85645019], [14986007, 6584949], [9333428, 43092117], [72750233, 99124055], [22732695, 54613801], [57093042, 93002670], [4423283, 4736796], [37224887, 391343], [34398464, 8743815], [75960515, 43134937], [7311411, 10821119], [82463130, 95701043], [44136390, 57897453], [61594334, 45366422], [86298088, 38266272], [143234, 95954174], [24793100, 18659241], [79657150, 28846880], [48694973, 67663569], [73265494, 75265954], [94253040, 12353729], [52592250, 26060262], [42588522, 34646907], [65807675, 16850997], [86496081, 95121244], [97237637, 66163442], [5968092, 95290926], [44028524, 17903776], [68503139, 91927796], [10738004, 63016467], [94265495, 76577399], [94506043, 94795571], [44353564, 56448566], [92230862, 26443218], [63453431, 60477470], [74938944, 76144798], [81562714, 14542408], [30256418, 69633561], [31288740, 70389082], [55302044, 57798373], [47005505, 60840844], [84252602, 74694067], [85287219, 89758946], [42719604, 90560798], [34224587, 90265883], [23035219, 7366776], [55965013, 97847987], [2382365, 5616227], [38561484, 38049190], [47558471, 54442171], [63633067, 25633373], [20155206, 47127571], [80685011, 26083632], [97996202, 34159238], [13601273, 96142040], [98357616, 31947039], [88641136, 69873164], [11046784, 28658395], [37908974, 13950630], [8888960, 67054837], [18639265, 62623748], [78284883, 73067381], [72351077, 18286151], [64893249, 76506521], [23163685, 2018471], [5575499, 78209196], [26763355, 49278035], [82376120, 18228629], [91237448, 45287646], [78705298, 33916901], [52470917, 67472218], [70166790, 59596341], [3188836, 93056084], [10772031, 80734556], [4938283, 35290621], [46928390, 68935852], [11022426, 2810434], [77254924, 48489888], [21434507, 35664551], [3937055, 9316916], [68768226, 7342870], [79346568, 28660517], [46956459, 28926511], [92803221, 24760033], [68430246, 43256680], [53498462, 17927523], [53634473, 75309541], [61542288, 96386414], [87906085, 44089437], [99514843, 86423205], [6409338, 8322546], [41978974, 76807816], [69324904, 1665038], [92753195, 32095884], [47137562, 5174619], [90802182, 5614274], [14520916, 43358754], [78509264, 64933531], [54752707, 3612223], [85126895, 56186801], [52572618, 68764176], [40412938, 2529720], [79615126, 29665078], [63516370, 14507342], [72593426, 58828511], [96559495, 55503366], [35792479, 46948869], [17398888, 18188112], [99543278, 33636578], [77670309, 44543327], [7463744, 61597915], [80245557, 78162273], [39749114, 40734656], [18937631, 75037042], [96800705, 85699181], [6103569, 20153603], [65429512, 88188465], [53880984, 3776864], [31903298, 49363779], [99443032, 78980618], [76652947, 83603730], [13465802, 78178535], [81095927, 60634068], [43318804, 94449777], [20175306, 26379751], [3499354, 42718784], [81729157, 99406579], [38322181, 8525137], [11585673, 67658899], [64603833, 6218994], [56604713, 51612398], [73310073, 70619751], [68627647, 8383110], [61276215, 54017174], [15489514, 15691476], [85002717, 27063897], [86634320, 78444567], [40531744, 49644811], [60809942, 28188767], [18987166, 48944003], [58960939, 77158454], [50248736, 38901539], [38131544, 77982927], [49984249, 12156334], [69175281, 66639521], [29363133, 25121137], [96302125, 12772294], [79875715, 84786016], [95123981, 59577035], [94325972, 3182675], [77846685, 85439980], [96744587, 61087453], [60804489, 91434914], [15987201, 33016118], [60269432, 63671292], [89174860, 30888595], [52057050, 28400515], [23997515, 7359696], [32760471, 57350268], [17797378, 38738750], [74726032, 6606680], [99798442, 35461887], [11475638, 22861714], [15615281, 89554749], [36430771, 33464390], [39297454, 1670309], [96169495, 90590304], [21435159, 4208224], [92535374, 7385340], [62906989, 59598959], [14967521, 16110307], [74997257, 29418122], [82673136, 69525517], [55797027, 73089275], [85858692, 19972712], [98471147, 72122595], [77706631, 86413622], [83714303, 52552375], [10308484, 11741024], [54477871, 23530749], [51225527, 56310766], [24633170, 89488343], [35189017, 90883299], [97748656, 98640761], [25892485, 51839589], [97815793, 66658404], [8918169, 89380051], [78434858, 98271347], [59628654, 98042866], [10019907, 87873758], [9210793, 3262365], [63090691, 10568217], [16599481, 33739559], [17040580, 59682819], [33454015, 59091600], [10596743, 75280747], [86166411, 87998038], [14049730, 97332862], [13622906, 87362319], [40904698, 59316580], [2135678, 86442645], [34703779, 7365279], [20283630, 46931135], [59906324, 6070000], [89711122, 32929586], [53997364, 69580053], [66826501, 5543668], [82781575, 79761936], [10925064, 23528499], [25192290, 75566787], [97162188, 50378723], [5511265, 48166019], [66876444, 56717248], [35592368, 65789716], [41418304, 12521701], [13775130, 59793238], [53490392, 25658202], [88512069, 52777113], [30390386, 41627319], [65155273, 1894848], [10764603, 5943230], [81548574, 14057461], [3272707, 27711137], [68041275, 90890012], [52820187, 24326065], [51236101, 99635804], [76048704, 12044038], [22636918, 40245791], [46376900, 83340341], [91795772, 6740119], [86328038, 66130542], [88269286, 59213804], [60992528, 76329881], [78453442, 32886404], [28653257, 35088280], [84987943, 8237137], [63057907, 15305228], [25588309, 96344732], [31436975, 36487793], [22068547, 69702677], [17821963, 3357702], [27421036, 85823232], [26196625, 12390413], [63486449, 89777221], [37510701, 79287193], [85117079, 65306649], [48808868, 71751964], [94018184, 50601724], [89771231, 52890663], [32330366, 79009471], [7720041, 4411037], [81594414, 84798890], [12036798, 85049379], [53054667, 68786264], [19511547, 1536147], [16327644, 70616226], [41699607, 46503048], [215706, 34493765], [35347653, 16573577], [97165764, 87233073], [94959101, 66707062], [58535531, 42208058], [19937590, 90332030], [73643205, 93742754], [38274060, 47013658], [430707, 23204044], [52066110, 70631449], [18214897, 43490974], [37756389, 84125573], [26084891, 78151477], [3392732, 29279263], [34876137, 70112109], [86216609, 47638828], [818157, 66606148], [49750020, 39086528], [12921772, 32630067], [25502957, 51055485], [38671352, 39199353], [50380298, 12198817], [42673748, 34716544], [37289772, 96444164], [40171859, 64712953], [78833831, 9846058], [39333226, 13081808], [96939792, 28446415], [57075374, 28170781], [48163790, 35792488], [34558757, 55244249], [86826392, 42723216], [46598240, 8766654], [33874465, 67142207], [45800505, 14456124], [36505825, 69058679], [42095303, 93125002], [4727190, 5125999], [4798549, 13862019], [56456303, 2965784], [53552501, 90896096], [49990757, 7126691], [24861205, 98436641], [34038232, 3965784], [29167415, 71796335], [38861161, 35025995], [12433377, 81385780], [89305963, 95113449], [37223667, 20935817], [34637564, 3423377], [66618892, 46419881], [64271691, 11454379], [11143335, 85430641], [41551333, 51727269], [34991146, 57509165], [26251319, 71724251], [15980627, 67643768], [78700713, 3401742], [33713998, 19049660], [74622081, 46828137], [27029118, 3759269], [23963720, 86608674], [39871464, 3721520], [70594138, 91054475], [79058565, 34798179], [58968094, 55244488], [18655454, 69447623], [85314608, 68567642], [36259599, 32400674], [44990810, 95938490], [30472249, 96554610], [35404913, 17730092], [99391106, 45867696], [11271723, 90561760], [92475976, 65009193], [97828249, 73251272], [80312804, 55323800], [41833486, 80875011], [80160568, 25358191], [92144801, 28568106], [70528778, 5533559], [4913528, 2791121], [36636905, 49284298], [3485586, 71257812], [30079172, 67672578], [96266436, 9936285], [17995670, 23258931], [3263176, 83392265], [51931628, 71631916], [51989288, 96954657], [46483114, 62700434], [89262382, 80236135], [22157906, 66416141], [4121187, 31225415], [50779038, 58222935], [48537588, 74793340], [62527834, 62288535], [27074969, 38489588], [30623705, 8560885], [49305239, 17406142], [39387848, 74901507], [59738925, 82854909], [312715, 30987888], [81242538, 80901464], [78566601, 44534733], [71725236, 62151921], [43718525, 18215092], [58121274, 13266915], [35327617, 44008677], [36189455, 82167869], [94495908, 33823855], [23576067, 11475873], [61263581, 43490091], [96182144, 27677080], [4466839, 59773502], [99423574, 56305714], [14562454, 55986126], [61940524, 93292378], [55172371, 85731332], [27242643, 89035216], [52682228, 52145808], [83279675, 80346575], [10176737, 50753148], [16471985, 78733278], [73184832, 93646641], [64197154, 65955799], [84640047, 17359022], [55050453, 37479040], [59724131, 469980], [7405414, 26590684], [74394373, 97364127], [35788087, 66697993], [61266352, 86944149], [16925518, 36848501], [91661888, 23455882], [32146750, 55059447], [93085136, 85442043], [12357790, 17195433], [21033462, 73231934], [20562711, 3131316], [50358947, 39317064], [56407891, 96071975], [48277057, 12165225], [43816229, 45175059], [3217078, 73354604], [3461337, 4956307], [48167207, 79241231], [34980668, 74381021], [91298751, 77162918], [6111297, 35104056], [28917068, 13954891], [89759999, 49326323], [21304518, 7286748], [42344882, 85558629], [27560726, 65234641], [54461842, 47199692], [79670371, 42337702], [52598950, 99959839], [15584006, 86375639], [75534721, 80114625], [95466078, 49483886], [82306482, 63830301], [66790436, 98094846], [57724152, 53858517], [48433382, 48798354], [71129371, 79021989], [4283478, 9912476], [13148349, 87441380], [40172037, 25739926], [43561873, 52115548], [12026864, 51943383], [62371695, 88953425], [6769496, 272921], [39825925, 31505379], [16096521, 71796775], [86035451, 79926569], [18205621, 92970723], [89756793, 94156235], [26103200, 99361268], [34001059, 4295301], [63227331, 81810158], [39301602, 10742735], [21114482, 38862564], [46899588, 20555758], [22567858, 87473510], [64643081, 4035401], [51842983, 44342040], [76829207, 55777158], [70508024, 75858464], [86044055, 10258293], [66437748, 83328251], [85317146, 65058539], [55597923, 80889866], [82616235, 49026111], [56926561, 46817876], [77901963, 24103631], [38385608, 19371836], [43770980, 30676656], [71794678, 58959223], [39460718, 57288827], [9039176, 61290943], [26984839, 12155780], [69333864, 14462358], [15589985, 36943824], [38803926, 55455197], [93812400, 61107535], [65962306, 31248393], [97228054, 58372367], [68307027, 18477626], [33405467, 51250506], [3734597, 36969231], [93561086, 7389100], [81770532, 57675867], [59113848, 77027359], [48488506, 42647920], [53628391, 74020252], [35273849, 68652615], [54643678, 97706372], [88960288, 72572642], [74169916, 71972073], [84316945, 34114716], [50008174, 30164668], [35913711, 29795166], [35445496, 25800750], [46829010, 16886755], [98020862, 91972280], [75800235, 13523405], [40799685, 96191766], [8495523, 4901436], [56009085, 29903240], [24997613, 72446944], [37811486, 18515637], [17016338, 64334546], [42052316, 99746518], [31424049, 59535761], [72710943, 17366004], [1721111, 71224359], [47346058, 23016830], [21066904, 34105711], [53148096, 56181274], [68609671, 998499], [31075254, 37059050], [744006, 59297204], [71964368, 43028650], [85656925, 44057516], [56084000, 44555700], [71920841, 14794102], [91124274, 77383467], [69557801, 83638572], [7373450, 43961866], [49458295, 56507112], [3884816, 71968305], [83566457, 2069526], [7895297, 11593144], [91929006, 90392490], [21457050, 75904537], [93367363, 83636866], [95731074, 15526851], [48202522, 58588431], [45095615, 87592747], [98910502, 92790061], [82475574, 21204177], [90685129, 75540306], [93168713, 69090413], [96528589, 34946210], [73158472, 52769839], [92824963, 45682144], [44554278, 97513952], [91981048, 50976522], [3075495, 65541052], [50243798, 33312705], [96994120, 38693833], [69975048, 39527701], [72797128, 56989662], [3988245, 71145130], [36479529, 47553633], [17938928, 26863871], [76924, 91702069], [20227606, 68507227], [53164777, 10952120], [54455601, 82557279], [22165557, 91594989], [24076007, 16535152], [36849818, 12106715], [52589238, 20645934], [12829758, 58432675], [61481789, 22427038], [70640594, 29123381], [13834754, 14531590], [18211746, 47805754], [58100535, 38368657], [57306400, 45562257], [30426533, 97102464], [25824436, 60356316], [74985445, 7436113], [97384689, 25841198], [4156384, 18396739], [42237851, 705606], [12871080, 68728640], [63721798, 49945747], [65783367, 40205029], [7230809, 99516406], [67611663, 46642664], [90263000, 81940008], [53760861, 83599851], [94584986, 68195136], [73505187, 68020902], [73365495, 12244655], [58491334, 20530489], [57482273, 6032282], [90766381, 38098470], [9751705, 44551184], [67731955, 23952355], [88490750, 27424634], [19504465, 59252178], [10728328, 75206328], [42043928, 38977052], [35182706, 16339596], [81748899, 35051577], [75322704, 56348047], [62164914, 90078767], [14838217, 53205558], [98309571, 37696941], [93027537, 95880797], [58464173, 37630114], [29702634, 48723290], [68011603, 26000581], [79359178, 91702514], [52896009, 2335024], [39071323, 20303591], [2713063, 11297908], [70410011, 59631246], [54811318, 59361265], [90201044, 8642596], [26371811, 60376223], [30804991, 27455037], [6525596, 24113101], [42186335, 33183978], [42207007, 87234929], [72210467, 29135735], [24758876, 67331622], [623242, 20621660], [39544507, 55375034], [5976210, 79298952], [70942444, 33070105], [1361399, 6315106], [36772291, 8368851], [19162560, 46839145], [42693534, 5583585], [59771917, 76236576], [23422123, 86163570], [31651191, 84121759], [74076900, 17058399], [88776427, 62386777], [28542555, 39014913], [12353075, 41416557], [8638076, 1033831], [31146680, 76019804], [51639978, 53187101], [15441498, 33381392], [29539843, 4081778], [78839589, 61921525], [93684257, 87070463], [70621582, 13227123], [45609637, 12718605], [88517714, 9304883], [68570896, 75115130], [69474402, 7133640], [97591181, 98113327], [83011537, 42164412], [94070714, 86045171], [39069709, 97273908], [21156580, 2538580], [65982700, 4241724], [77338879, 68835052], [18799894, 5793856], [39837570, 70806434], [20570072, 34124231], [14045451, 54661929], [85617559, 16288767], [41044255, 26313821], [79248062, 30263353], [21632032, 91243568], [72249835, 46528317], [65921500, 81501385], [66488258, 2213407], [57466164, 22563357], [59032597, 53206290], [83759070, 31616331], [70322059, 26245769], [91361358, 86025570], [12046123, 3683637], [23367419, 18594508], [70837609, 19910620], [29075549, 6786946], [87759589, 438383], [7001570, 16884243], [32882845, 16429954], [35034497, 7204739], [97214892, 62111791], [11482089, 75844387], [87306701, 82754851], [76817742, 35692786], [15899935, 15749898], [58640091, 87163734], [63099643, 19168421], [86900342, 89114490], [54964393, 70635023], [25936640, 95407990], [59055516, 29482762], [7084738, 2961343], [42249606, 23180734], [92278817, 45359396], [36180165, 11311034], [74709801, 96766519], [62642792, 83469638], [44893820, 30194187], [40742584, 75698850], [51298968, 9061246], [19226120, 25537415], [79863718, 17728655], [5464687, 98701590], [59486301, 84391184], [79375373, 74791417], [20876022, 77407581], [75162150, 31202645], [20834182, 37337834], [9361155, 78175734], [41540849, 84907096], [46235498, 67297529], [10832742, 67576130], [70761620, 38218840], [51121871, 23204243], [56869610, 80654289], [42135068, 43372375], [39712950, 52576845], [44110268, 46391372], [59046355, 75121993], [17563632, 80247013], [94991618, 20612933], [18059934, 33714462], [10697716, 52950340], [21559517, 64505029], [56086820, 230901], [90642364, 55249809], [80153614, 46975266], [15752999, 14124745], [63810194, 54553931], [24409222, 68846875], [11837954, 27826588], [48145579, 49850800], [7156739, 1240014], [45332065, 59354915], [74947597, 98961023], [29542681, 48894796], [53983500, 83596607], [68557982, 83586668], [76724238, 12348775], [68006738, 74486401], [42306640, 4596944], [12614852, 96866943], [39136143, 71442436], [25613484, 99295330], [82759217, 41362967], [96779324, 85115696], [5162686, 55211871], [3151713, 4365610], [2723159, 13472834], [72178304, 15099314], [49619072, 47892630], [65618386, 45227327], [21111460, 46884952], [80045347, 66941296], [59995956, 34759262], [17665719, 40852529], [4725407, 44506192], [32919228, 34880001], [59605532, 36074800], [16084591, 47281251], [89405223, 93547268], [8988235, 94985138], [9914397, 78741681], [81591738, 4155763], [97404333, 75774653], [58729460, 80887341], [81417744, 35664128], [12635528, 18029144], [44249160, 26610846], [7966956, 5661292], [28546918, 28558499], [53985769, 51241761], [18614330, 57824639], [27591970, 58814135], [7267929, 8409990], [664958, 40267344], [95872223, 2170467], [97513458, 45845679], [62001278, 67297165], [8489604, 25873343], [77199151, 10892530], [51625006, 94834538], [36228910, 98026716], [5554416, 70803308], [54366445, 1261069], [72409556, 46858292], [57439668, 99772015], [45662493, 5221414], [58562652, 46515657], [22308373, 21655836], [21225271, 47565857], [85444905, 44757050], [58032157, 62785445], [12993683, 21057829], [89610220, 11517191], [59827644, 28393029], [68510512, 15406217], [93084215, 75971655], [3293111, 88179753], [5229389, 34633523], [31469309, 42527708], [46187762, 56470667], [29687574, 40755116], [65407894, 5092513], [42370350, 11195898], [60368111, 48457650], [88613433, 67218232], [17818764, 57147190], [20748195, 81687521], [45333466, 60009077], [52668448, 44470213], [14093645, 56985204], [13984617, 85734996], [97009772, 78431305], [99838865, 84347963], [51598734, 57486946], [80815280, 50387876], [9643541, 27498839], [14967688, 66007428], [40669072, 79466233], [4898635, 72472905], [42590236, 4005400], [92012975, 51572898], [78599207, 42674712], [69984705, 65481603], [99336187, 58745010], [79342712, 25521584], [31927675, 85029971], [57376091, 94591524], [20645367, 55411665], [65558470, 91948952], [10053860, 36547134], [87861215, 8692053], [6432888, 33711350], [89476696, 60448327], [26871628, 24917457], [15251837, 50876130], [57050093, 39384606], [79922749, 68166843], [79096626, 93438915], [76719199, 27237344], [36247851, 29801794], [84184972, 7158233], [21793538, 45028927], [85921560, 45470013], [72640365, 75380022], [39483404, 95295517], [811868, 93097464], [23508197, 62786505], [71515646, 94324021], [35024944, 6891963], [64852349, 73088578], [92262980, 85888698], [99383433, 48128108], [96666225, 21792662], [12571803, 56087613], [4822259, 92563940], [46305604, 84011463], [1890606, 25896485], [80106312, 31512593], [98050417, 83512589], [16341145, 83418314], [95974563, 5097212], [20066534, 68567009], [77582282, 89322860], [95874869, 95508254], [14571703, 9439524], [64028001, 71842552], [11924531, 44532197], [74548467, 17620239], [76306309, 41314902], [46220524, 7105404], [51896215, 89489946], [65002730, 91448678], [62535733, 37112800], [47865909, 3500076], [55441209, 58903613], [19200876, 45247405], [63059530, 35701631], [98848421, 26416558], [63887683, 1410747], [11175753, 61098042], [45332533, 81549518], [22238463, 69188436], [3359424, 16425050], [53705769, 55061388], [29944949, 21359272], [57294456, 90646730], [67585217, 58508928], [22253136, 88960909], [20194827, 73237197], [52490706, 20871703], [92262688, 72802558], [89231110, 39039813], [84179353, 17076990], [19863069, 37863921], [75387022, 78031187], [46739184, 18139562], [67466258, 52794539], [16146165, 80907499], [82581470, 71918608], [68360985, 56065229], [58259849, 66999243], [34679773, 48087938], [3878932, 85958012], [56401862, 23183037], [21712050, 88429464], [6451954, 58913300], [63002666, 4398837], [87936670, 30321619], [30513479, 42567997], [56070382, 39140215], [51097683, 57107994], [7927222, 54451480], [82203209, 38477122], [35831558, 92191773], [36083529, 5105376], [37527149, 29428391], [84751738, 39431866], [13792786, 82841684], [95785786, 46151227], [58851517, 46458901], [97529198, 72804021], [3725337, 24359180], [92078759, 82651142], [15127160, 14678221], [98098688, 72700951], [56213933, 43665894], [59346092, 29074281], [556838, 94822794], [2655349, 20898271], [18962064, 41826857], [45904829, 13168071], [57127739, 58772242], [31572568, 18186061], [1220478, 39414634], [17253655, 55894519], [11965150, 30708050], [83461397, 53194320], [37578795, 43936200], [78223213, 11725308], [601563, 1623144], [86495518, 35233996], [4756258, 87504329], [89751706, 32310112], [15081296, 22076223], [59167730, 74846609], [75708479, 21959333], [40147138, 99681437], [29354302, 59155985], [23513126, 15206608], [11254767, 17324077], [75911760, 92898289], [62726542, 50821007], [2155090, 83472578], [23705070, 72866712], [30261479, 19120101], [24546492, 29906252], [55998543, 22972823], [49273249, 71662389], [59937322, 64044747], [81631838, 10698804], [84211208, 3843941], [27404008, 61115692], [29246052, 87696940], [7848779, 51879389], [98878594, 94780819], [80982818, 96303432], [79689637, 62020267], [29743980, 49194122], [47201184, 46550771], [21814504, 99786214], [18541728, 90066833], [61976989, 45893646], [19906912, 50979851], [41595689, 18154238], [70650239, 48334818], [89619857, 12731712], [17816440, 6731114], [95706455, 11220932], [50171102, 83956790], [96457088, 40877467], [84159669, 6386325], [27806785, 96556617], [28690555, 84169116], [83990740, 23982404], [83472524, 83053142], [88145339, 81835458], [4936264, 58574455], [69985796, 13501186], [40130628, 50610938], [83532202, 89667414], [85971885, 15315673], [13671514, 47304458], [58710289, 35463473], [22467982, 84097653], [56916794, 65332082], [69841118, 84814051], [26337756, 15980800], [26319536, 54838895], [8751841, 23476193], [41871974, 25570317], [41642914, 28775716], [79612813, 38198662], [67464731, 94440090], [12395625, 80685657], [38483510, 21877818], [13254469, 31137789], [85009606, 51419656], [80554800, 73769633], [43928860, 94197254], [31283418, 34879848], [58015454, 72012958], [49476030, 67851763], [41541869, 55696291], [29973098, 71467427], [45110249, 76520687], [43855245, 59638425], [29387043, 69310675], [93154955, 92544025], [43259139, 28498102], [35225699, 42288885], [78974820, 69287649], [32317369, 1483623], [12733388, 43279830], [79399607, 21796045], [83890310, 1625913], [25873433, 4398662], [54647750, 93679050], [31473856, 14450453], [76955116, 71178287], [80429239, 85018322], [36146239, 26175572], [22288656, 36148887], [95006456, 40480695], [78648066, 59459255], [57081367, 44460095], [63823828, 30561856], [42083000, 62135668], [43956105, 8832530], [55828431, 97382105], [61166074, 3754483], [69547957, 61193732], [20611249, 84581027], [58613599, 71694833], [62852866, 81437099], [80230665, 5010617], [12153538, 72505401], [11862122, 12341154], [50056761, 97851262], [53167696, 75030918], [51708511, 38087437], [21939802, 57452696], [53754388, 81874917], [57960743, 274750], [88188858, 32071191], [26376546, 28946366], [9985034, 85833644], [57975111, 11354745], [63311756, 15144666], [91532373, 941054], [57455415, 65847588], [39494601, 50482676], [31444411, 65043547], [42409721, 27013292], [81183596, 2688437], [26097441, 92875910], [41516657, 61850753], [54408059, 35276839], [67163217, 96692453], [17522159, 36801761], [86382632, 78868845], [4869088, 62380627], [69635106, 43848864], [49034302, 95906115], [6071618, 68727621], [66242241, 28397335], [44534404, 71956357], [200889, 4169031], [46824691, 58761188], [67400077, 14787416], [8949826, 81805323], [17773423, 81364956], [72212577, 98865399], [19566856, 26428416], [12543247, 51799769], [84906975, 87757010], [82780171, 14518237], [70690456, 34678200], [33191687, 28158616], [26795940, 42583702], [87770596, 66452967], [80344087, 92336389], [23538281, 71739886], [12554096, 57020509], [90178202, 21925586], [96176505, 24225712], [62265662, 57424230], [51286932, 24809637], [31311104, 24184222], [83842632, 45928212], [46540569, 63734367], [74700272, 43171052], [92580190, 59430583], [19749193, 94276623], [91502033, 28648253], [58765811, 22362534], [4118210, 72346693], [89236446, 30116043], [59797057, 9285432], [37597356, 22488300], [30769638, 41829446], [79634584, 56412841], [14966798, 61315762], [83879889, 61592582], [24653027, 89809661], [23476540, 78302912], [6128059, 13874111], [54239187, 98194683], [7647407, 26977363], [81698991, 12535888], [54036619, 74204317], [23763746, 42457751], [46441803, 51846064], [26712172, 87258005], [22766940, 8171874], [95490212, 60670532], [64296495, 82297508], [79396173, 47870650], [80377821, 21345663], [99550115, 81766712], [77112453, 14570253], [10981761, 42292894], [95142227, 46639302], [19243925, 47339035], [65841275, 11390915], [10255606, 3241136], [69799083, 75975493], [85492455, 32488964], [28616004, 78264724], [81457020, 76710243], [34682170, 39586595], [10168532, 38544531], [96391028, 84590647], [3809943, 23553049], [50502713, 3684322], [63540457, 24098389], [59364179, 28571079], [83662116, 65003476], [42364481, 19272052], [33164739, 31326865], [24930957, 32351474], [66059277, 63043393], [66276137, 29260284], [36781027, 85536867], [55116026, 2271444], [49265394, 33825242], [50253152, 23330105], [1158334, 56400416], [93834953, 30661557], [789832, 88956050], [59975328, 30226040], [42181906, 25473021], [79387232, 69713681], [89123871, 87753538], [28809544, 97148968], [68197244, 49828660], [39737629, 85804875], [77121073, 54796795], [85423503, 59920339], [21378537, 88618695], [76396251, 53409183], [16838744, 55902951], [72307655, 92231102], [99215767, 14473860], [68941848, 10741074], [81233319, 12308542], [76192398, 93707417], [3451520, 78995231], [47123029, 43529882], [54455557, 87001325], [40135275, 55266668], [84231232, 54609615], [87673970, 78890257], [67458479, 76468974], [89634624, 41722101], [92832059, 15502589], [12117635, 7079394], [64151374, 74899881], [65419885, 86854521], [26147446, 35759328], [5015308, 65552735], [80772527, 11175553], [92440052, 66626599], [69235411, 35677061], [42261329, 13889879], [92596739, 23152876], [68837583, 95194842], [45217424, 74974978], [39216302, 188231], [56319222, 12793599], [46847142, 9720740], [86626007, 21291473], [64273114, 47535775], [79236497, 60620999], [77877349, 35299041], [18467608, 54301945], [45336947, 16955421], [25190156, 56509459], [34208961, 49183011], [13582564, 68986757], [61169170, 20451450], [86185683, 54392209], [39867331, 40213350], [72336601, 22214215], [53712418, 80420557], [5239574, 74130422], [30001119, 52507982], [63232300, 68129086], [53606680, 83432881], [94443930, 777076], [42920645, 70138232], [71744861, 7964283], [88115392, 83741236], [63252364, 69100662], [98908066, 35674494], [56243401, 71177567], [97542318, 80626039], [58739844, 60323025], [7208801, 95451586], [3300547, 89212414], [14006290, 6434359], [78893065, 91932562], [54160106, 32453282], [84080412, 83398840], [78274746, 66789277], [2396038, 69570977], [87381604, 57173768], [99129631, 48494498], [5039998, 89023880], [15477527, 68625942], [36364675, 24795916], [20128570, 89209951], [72423164, 84164071], [65359003, 58544282], [93987772, 77355652], [8942141, 21919668], [67113775, 75862889], [75860266, 41893144], [9002828, 67947828], [89029990, 86712471], [48013637, 36437452], [71263032, 72164869], [67478401, 5728410], [10021432, 73468525], [35967802, 84220937], [66460259, 74765331], [22925573, 38596872], [11493022, 75891082], [45236047, 82524883], [57376158, 50483041], [17851974, 25405497], [11430089, 65326956], [47167850, 58874275], [53900296, 90006994], [26795221, 55334696], [85196507, 37189545], [22189443, 82470612], [54221611, 16545029], [83630503, 56501525], [42505631, 11835867], [13949382, 63651380], [64563468, 11038727], [55469314, 78341647], [92007964, 58678839], [5431913, 11104621], [42871862, 1752823], [75152887, 2492629], [84042303, 71827761], [35672672, 85117546], [43249935, 74182323], [21092297, 57941312], [90942637, 92100285], [28668398, 71016100], [27068857, 19850345], [64552339, 33440427], [44792855, 94839730], [53419845, 28419332], [12632102, 18736575], [34759703, 50561267], [72585123, 77245983], [65348226, 26698269], [41443959, 14042980], [70076439, 2656153], [84095208, 63963328], [79040325, 34137302], [24214092, 91773937], [1395413, 32822177], [8304166, 45718354], [76031916, 90531551], [55324101, 20830945], [54684844, 92591750], [66336521, 48374647], [10519750, 21057297], [27816886, 49491272], [16195436, 97522949], [32512999, 15634625], [76582808, 96047690], [99697269, 50212595], [390681, 80207998], [8746119, 60195114], [23963376, 77738780], [56206926, 29611737], [89141170, 20098885], [18450566, 33972137], [87809692, 75601198], [88851093, 84718416], [80520167, 71812712], [15905636, 21635362], [47455491, 60075109], [39379017, 38073423], [21789285, 37417270], [8971667, 72753865], [67737684, 30271717], [85048185, 62116583], [80263646, 72148476], [62409103, 25763104], [80759535, 96093174], [85095080, 27579824], [77308018, 58262160], [99709139, 37060861], [18663683, 5628981], [58995049, 96093880], [46556121, 15149536], [43359993, 77891591], [24561019, 59570028], [9256861, 29293729], [74526690, 8940402], [10087147, 42364194], [75037404, 51871278], [22098212, 25180239], [73173068, 80119143], [22768192, 4136169], [13596029, 8802636], [11125800, 3861754], [53857995, 2160560], [67005161, 82560339], [54467622, 47537337], [10998999, 75798632], [90202031, 88854109], [19495191, 71465703], [28049468, 79755827], [63037524, 22047661], [24833674, 12004634], [39201378, 7065565], [92416683, 9646077], [33660400, 72559004], [60262263, 6365727], [54035423, 49322623], [70835950, 84745202], [49052614, 76512037], [95247632, 9431322], [28870609, 28252699], [89027113, 39819176], [8700962, 42700388], [19155707, 15399058], [69854138, 24504883], [56186641, 36607618], [70818600, 92510259], [25282111, 88048909], [2408647, 24155101], [45634076, 44805474], [21762762, 45238146], [32812646, 75211109], [54036665, 61283250], [30414931, 18066861], [88705462, 95992774], [17760207, 80324642], [50995891, 13359637], [6707069, 91170888], [36302414, 31706309], [61583355, 84863067], [19322993, 87782346], [2790577, 14703190], [7232028, 66945848], [79690042, 86098169], [97741207, 45822295], [45383309, 68255221], [23196191, 53615481], [96794042, 50520261], [34434711, 35466094], [89672119, 14007520], [16819193, 42718224], [13356687, 93287642], [29102847, 44863478], [49018750, 29889542], [56957788, 94450604], [84027492, 25534466], [97019761, 66756476], [3495548, 42433546], [35176069, 90700801], [36803675, 72493632], [89838508, 24885655], [81721132, 2702814], [50645115, 54460937], [26029215, 32149629], [26709813, 91748224], [29848938, 23747933], [70362089, 17921824], [21037390, 31303152], [86552958, 87327864], [53790997, 5780627], [97662978, 73869709], [78724540, 10680945], [14234430, 58910762], [57060264, 63518288], [95108343, 25668900], [97463901, 20348008], [75399664, 15741845], [95035492, 71200706], [25965310, 24016430], [7876451, 40882680], [62365214, 95158305], [87242184, 25157252], [61142901, 31466479], [67381833, 300786], [59732482, 37619471], [8534077, 57399340], [60989026, 42245405], [8516281, 87765432], [70473918, 60340687], [12233673, 44286258], [35212038, 53913141], [84632536, 71506687], [71776367, 98190412], [2174360, 66383884], [20265359, 95086206], [33493604, 86140901], [63568107, 27970644], [33097235, 84081994], [89553803, 10673592], [67032142, 49410380], [39745975, 27162908], [31551158, 18692974], [1067271, 43898456], [4539229, 60486631], [28080445, 99410710], [26965083, 152235], [8816746, 77452642], [28089922, 48067449], [51190633, 87996357], [54709757, 78005855], [32006124, 31567947], [72770560, 74700945], [60154206, 48649399], [90203375, 51943555], [87778555, 67984340], [44555556, 80300502], [97469264, 7341799], [83771396, 64502207], [25423367, 63527899], [82453542, 97951110], [93650135, 72606562], [63095521, 2678556], [11936648, 29608530], [32673667, 86855836], [85139112, 66128420], [40944639, 72436870], [53582165, 24230885], [40665289, 91269759], [79742359, 52520398], [95713225, 45215814], [5283831, 67510426], [5209469, 3631404], [46732077, 85985254], [73685302, 74677902], [83511719, 94134609], [33209322, 17628084], [93703048, 59892922], [40071484, 59582723], [22871155, 95868062], [46794160, 66350555], [67943268, 59839605], [78139866, 78406387], [69937192, 97928337], [61823449, 95308046], [82663263, 85657271], [99799380, 14598599], [85670395, 17915785], [3301910, 77081807], [30501330, 49300600], [58067674, 1218795], [97587378, 42985823], [90714139, 13295387], [27536678, 60469275], [87888746, 34779819], [71049159, 607879], [69079305, 54679436], [38288681, 7557961], [64620941, 6133259], [55373383, 10445973], [56642423, 74320255], [57947561, 93538388], [17526513, 98088394], [2161810, 37233202], [48100379, 64958515], [73784998, 47813012], [96128252, 64698418], [39698343, 57830762], [60767838, 96077575], [40838585, 1164291], [72759202, 41131432], [58081724, 75014586], [68031819, 93154435], [46371291, 52610697], [10999224, 80610134], [89879740, 23270568], [73990728, 70191885], [32492915, 63694314], [34699492, 17238132], [2634253, 66378358], [50211353, 17972691], [64200990, 81367549], [51673884, 39084508], [46020003, 13613487], [7640932, 49751203], [85211160, 34881304], [1668894, 31738789], [7353238, 37459913], [39195858, 76759736], [42713880, 96422355], [77911705, 83835328], [74914918, 70565446], [83993741, 50955019], [62078120, 95036280], [49328229, 83801893], [99273951, 81991927], [36562078, 88995544], [99390387, 22321449], [67272364, 98803620], [64172740, 40109277], [90521969, 62649636], [30080079, 3689432], [24970852, 52929203], [90041525, 78394880], [88143932, 46971966], [46727212, 1198547], [62908506, 12248637], [29572822, 25588861], [66069942, 82149726], [56636913, 60546810], [7206782, 60475774], [3753795, 39834435], [30752560, 46375627], [31556106, 34574334], [32618506, 58820521], [83240107, 22084839], [8211051, 50457244], [63807311, 31655294], [65434574, 69588549], [92101794, 93217363], [54112389, 46867264], [18461884, 71825807], [64701669, 52673680], [90088804, 95914565], [46340839, 29706609], [43512025, 53393327], [15771186, 84671771], [66019808, 27539554], [94179818, 92732], [18124394, 39102326], [12000101, 79056810], [37567401, 68512752], [23224373, 84767746], [27781768, 79240419], [16059604, 25614990], [8234849, 24203381], [8036462, 40702980], [33931058, 56809219], [78488130, 76879793], [36151808, 42974990], [74294664, 48362437], [75491171, 32587077], [58048149, 29659286], [31731378, 50909643], [3945838, 78366357], [84160879, 5068391], [21316555, 87558835], [53543401, 48359318], [45738672, 87355295], [70015330, 74375838], [19347477, 23602041], [31327466, 46031425], [86957759, 63130721], [36592963, 56408701], [38937773, 80033683], [53127897, 47675470], [41710036, 4022104], [77742388, 97696913], [78805443, 73554271], [23489513, 30560013], [41151050, 14144399], [84213464, 88734806], [39474558, 90079299], [73522730, 19647021], [25695240, 57216868], [2763617, 61428798], [27453203, 28011128], [42051814, 52939106], [53475643, 43768033], [13411660, 45266272], [4995581, 6008397], [66589864, 92232488], [46208384, 8787194], [78598121, 10196940], [69920323, 99059674], [755565, 94980387], [61855033, 71839953], [42192507, 69142468], [76912266, 20105368], [54551495, 7880283], [69766159, 85696793], [72573636, 28190760], [59212173, 47319386], [9463880, 75034736], [46100783, 59577151], [31424674, 8215309], [56393183, 35765677], [25406405, 71613118], [40683167, 28377160], [59275722, 46249160], [74357568, 86047677], [66561373, 4763246], [82210335, 59047745], [35057984, 98677052], [64747853, 61382203], [4643885, 8212841], [81996160, 86862287], [91739277, 4808674], [19948610, 7369818], [37440328, 49846529], [23659172, 14642753], [67903431, 79114343], [86588372, 99520301], [94254329, 74948402], [36810969, 22281816], [32514992, 3221656], [59695448, 8760931], [32985435, 83018011], [2082109, 6035822], [30305572, 3721850], [19069831, 87786328], [83797475, 62782860], [95094355, 14821937], [54094518, 89502299], [25535628, 42972555], [73025346, 63515716], [14612177, 76725543], [65574371, 25808535], [48897581, 11050187], [77709647, 1957366], [7834225, 41585313], [11658047, 2973223], [76603347, 88324081], [74609978, 63776222], [44504291, 39676014], [32483272, 61800202], [8976840, 10286855], [43053678, 92316529], [65326061, 70258899], [73864705, 22212059], [2958671, 25579967], [32577574, 21707379], [93523894, 25597244], [18241998, 85795149], [53057635, 25229114], [82238177, 2296018], [33573639, 79853857], [96955616, 48844292], [8860377, 48230268], [84671542, 15383931], [86620168, 43618735], [52390914, 55321069], [33432438, 81191280], [13066613, 29984436], [787895, 12136674], [74018733, 32708422], [5832254, 65052255], [52865474, 20396588], [19194162, 7068132], [5721744, 91667683], [19113371, 42086713], [48961479, 41092271], [23943400, 40071960], [65225671, 95544601], [27507977, 72445618], [70388817, 1657139], [81135622, 45435400], [37995011, 73766909], [79872917, 6015813], [12580922, 25561408], [68615074, 40730157], [62340423, 68360608], [1139171, 82004289], [55566865, 5585050], [49942066, 58115880], [55853639, 42956582], [19462610, 3701536], [10782658, 87516855], [98689213, 84493235], [33269507, 6949374], [7421295, 42778364], [29870173, 36870863], [56347092, 39664612], [9133694, 52970811], [81510414, 76206433], [5708065, 71754840], [56475766, 89126573], [37004626, 64541520], [65636940, 87486413], [49886707, 56146489], [27011002, 80288568], [5463373, 66990411], [64636469, 43770768], [84613831, 10560706], [29371653, 91063494], [62225506, 35199065], [19615552, 57076346], [24546381, 40238414], [94725768, 8539390], [79368583, 99576421], [96796737, 67912229], [75917091, 9106994], [47772348, 24803122], [34335307, 30326639], [50890117, 56495757], [5162887, 69284071], [80383614, 37569328], [27823353, 79847433], [68074343, 49039800], [11181564, 51232306], [28636877, 21546133], [26659537, 22902520], [68682160, 181170], [29938463, 96905713], [69573898, 23446261], [42379564, 14099419], [24193361, 53223808], [60687852, 47087330], [50303448, 44660038], [20329279, 50620319], [85333087, 2744033], [75230162, 89653590], [99476236, 87780085], [43076929, 66833885], [46167963, 81250662], [85082934, 53891883], [22794226, 6379099], [45499346, 8870159], [1284917, 11245345], [71414232, 26921866], [1154502, 67691501], [79788413, 42279153], [68455451, 21066105], [541329, 21350001], [77564807, 53461376], [19564597, 53511331], [22136854, 19764864], [24813242, 61433806], [15552246, 63753219], [29403124, 11895492], [71624988, 78899286], [83224618, 34233188], [73994437, 71231303], [77112441, 23330482], [52221900, 63379011], [5362281, 12324860], [39982423, 83226120], [93568055, 89075345], [55031841, 71869461], [33346945, 34792891], [90181445, 41725048], [5952862, 8303279], [27087119, 53759820], [33248821, 82772388], [14234956, 49404159], [69503175, 57719022], [38925166, 41699367], [62119054, 35157077], [65223653, 68779644], [77264343, 36939486], [90982181, 84212704], [49921988, 12843844], [74875000, 37062364], [51088626, 77345145], [29354710, 61918793], [69687604, 97615200], [60032148, 88038859], [75081625, 25976259], [48601578, 24101386], [41495543, 35793277], [82084864, 12082275], [29590008, 51595719], [18292999, 19240056], [24522672, 95785896], [24700297, 39218136], [94468189, 25648273], [24291622, 87931903], [25411846, 79285672], [84408664, 9127820], [45366592, 74829985], [61174097, 30648582], [42364984, 55920779], [8586993, 59393314], [10633458, 98663281], [11284655, 92401733], [51328919, 19242404], [90514664, 71681643], [10570674, 25739086], [70556462, 84150594], [41222652, 25059308], [76041160, 7678870], [67161525, 67907116], [43906394, 36534599], [75324611, 29443425], [42609759, 36989630], [98870468, 11152491], [9332888, 80705086], [76484936, 75160670], [82775786, 47038570], [20993448, 72755014], [5963435, 96675576], [97067581, 36109027], [74392814, 52002279], [15775874, 57934344], [17462996, 69293163], [21271301, 72489885], [56330862, 69859394], [71146855, 5194937], [80184903, 84694175], [53180823, 47482638], [34714323, 22979478], [23175704, 99396185], [5349820, 12201820], [43359454, 34606238], [36104221, 19346366], [68624494, 51396566], [16608215, 40700896], [68809391, 66041833], [86747000, 82421210], [56661734, 82549591], [52163522, 6919102], [52942502, 555036], [3681306, 5226898], [78602213, 47348697], [6912888, 9419124], [55483995, 29531717], [64771054, 46224796], [47595950, 30641352], [14669609, 95572047], [69888974, 92563942], [46587623, 50304018], [73276119, 37282518], [47787308, 43352365], [95927221, 41952486], [60897818, 41083336], [3411985, 88090968], [17720925, 75285676], [74178100, 13848098], [16956005, 93719809], [17546856, 27751029], [30155916, 5655254], [987851, 3707118], [12584462, 13000299], [73276066, 2833534], [2877209, 38910088], [65580423, 67515631], [74692649, 18570217], [20717361, 72782034], [77788085, 20263325], [6893995, 6263185], [81065596, 60670886], [61950642, 73591190], [99772933, 19016979], [72326792, 42787409], [80659453, 64781153], [43618764, 28498030], [81733752, 46484843], [51813626, 41482000], [56781849, 67104502], [86229395, 77292016], [71654531, 27504202], [49283365, 43677254], [48793801, 71776128], [86495245, 54336865], [9230803, 84646201], [95162519, 25193049], [33948182, 75890660], [10309569, 13630191], [29674779, 10630625], [99425968, 33418334], [62154328, 55224168], [65928720, 23031079], [84354234, 13503430], [78821255, 46758557], [9705871, 14541286], [23918547, 71652534], [65806017, 2624567], [4140368, 51676311], [20187735, 19358902], [44716852, 25576859], [87449643, 32180057], [23654921, 36704689], [85289633, 28671655], [59826154, 86441129], [90401550, 72507725], [93766544, 81381700], [69718632, 17676723], [88601389, 60549753], [2264965, 96612303], [65097294, 62188678], [47539645, 70867484], [85756094, 58981456], [43176222, 85441788], [24105399, 10912981], [92278399, 57073538], [47816789, 16521250], [21712613, 7390642], [42600363, 9725665], [5199428, 36979023], [55198448, 11766975], [5346796, 2130629], [73326851, 48465714], [95632256, 32534848], [89207996, 50613619], [82372506, 51442238], [58739456, 54827957], [44941305, 5609229], [48780620, 62806776], [4460126, 72202217], [51280423, 5268084], [88582157, 79097915], [6595214, 83400774], [58277237, 29884271], [12831492, 28541145], [17532942, 34813550], [58456128, 75768097], [84342863, 736694], [53697627, 62473705], [7102504, 1936647], [85886780, 91206562], [99819938, 67315227], [50485413, 63834995], [91693408, 33733454], [98859402, 18630734], [25931837, 57284257], [58659002, 78919086], [6013098, 77752021], [80659299, 92553380], [96562008, 40565274], [62833281, 35956173], [33463277, 81422691], [53090103, 23572631], [1842402, 20239127], [17533656, 40632279], [8837252, 9352648], [6637778, 11278503], [91628633, 18337334], [18123936, 60763773], [81872720, 68272232], [21042684, 87757237], [17720353, 97810599], [49187357, 99263995], [47441307, 30487811], [48682403, 16133491], [50959281, 10983657], [1414121, 100242], [57543930, 50258829], [80281109, 66648590], [20727989, 58904257], [15051977, 61120475], [44626524, 6310480], [766780, 51194935], [10421896, 57063647], [75670734, 14568556], [72208416, 27804104], [20494084, 85746440], [16977684, 54776729], [97215430, 94850623], [52429355, 47107981], [37460858, 33850933], [40103530, 10824652], [75899368, 50458948], [18476895, 62370850], [36319189, 69522572], [62243898, 76125382], [81709115, 34803351], [12026728, 41947425], [72343965, 80203150], [80530998, 95055801], [34843561, 71194933], [89639909, 86128816], [66384572, 38985153], [35654669, 96309381], [82015128, 4097994], [93536369, 34952329], [21917745, 32116358], [73215610, 53035589], [64521544, 86657582], [75890726, 32554418], [21627186, 90288674], [24986220, 77459986], [49617811, 76494613], [905224, 35250797], [84389470, 93736144], [85887164, 8281445], [26374018, 21584329], [48882850, 34380804], [4018474, 43214899], [21981798, 89619871], [73992734, 35081331], [18321416, 19516226], [83810260, 58045050], [30251548, 87283463], [23877464, 88364275], [44735494, 44059922], [33974136, 40467713], [2025518, 43506007], [7999943, 62496439], [96520363, 59762127], [77054571, 12191255], [40436441, 89572193], [65373555, 95346545], [36113589, 11022030], [70370524, 80304956], [18799274, 73243159], [9886652, 13543863], [16286675, 21112639], [94228611, 70271764], [42062363, 63866414], [219790, 67841226], [90586091, 79978219], [50941875, 9811742], [57670906, 64831901], [49167556, 33426787], [60450766, 51681248], [65326679, 46350980], [37154874, 45389376], [23322327, 62277472], [50413012, 36880625], [68688995, 20488503], [36785847, 37562850], [62599790, 358669], [65637368, 7142987], [81146644, 37513264], [52511849, 24978982], [31660680, 82660961], [99557583, 39474802], [15894229, 93436885], [63292331, 64784294], [22567647, 69414662], [75376487, 23499262], [11384932, 92799597], [99535273, 25387584], [71344074, 33876461], [29390499, 61675581], [47158724, 90639069], [50763820, 77814174], [49163834, 38143978], [14531561, 76543187], [78196073, 92521602], [82677775, 15456367], [79733534, 20271457], [99564017, 46043703], [33029571, 22790543], [24814392, 92845387], [38791514, 13770077], [3173245, 13739376], [50793911, 35561650], [10952111, 32934131], [60374473, 156756], [97847891, 54744390], [52550275, 24193379], [72002801, 25679385], [23343463, 18489091], [40678143, 15249796], [53321587, 93107748], [32823199, 6997753], [65686103, 91122374], [60652378, 40789962], [14692048, 34259755], [85062688, 96545834], [8301497, 81497773], [72392561, 29576534], [33577840, 49476436], [96667558, 45646386], [88973863, 98441424], [79769850, 72016027], [24040247, 14072252], [33007435, 5874260], [62417080, 71551600], [28210647, 94961561], [17617151, 45820971], [22668032, 74554489], [60165162, 1929854], [43187071, 20846219], [88851618, 73187395], [97261372, 67574675], [31482917, 94724582], [50168809, 94165390], [74967862, 6860863], [42436276, 71452268], [25427420, 8083695], [18584582, 56789253], [10001985, 97102243], [97167377, 98083713], [45744448, 54430024], [11037612, 56690130], [80716814, 45910584], [43663324, 86319579], [88108355, 11849960], [48457786, 67627152], [29734845, 79765060], [54204784, 78403023], [60167191, 72653504], [36578275, 56675851], [61236106, 38612168], [20166273, 46242134], [86915999, 56384212], [13104203, 33484932], [37102041, 48409738], [41089739, 84040496], [30645769, 40837308], [80247612, 26782380], [79584917, 76318520], [4145538, 64566083], [56024057, 96525222], [76688356, 52663975], [8317880, 88709782], [97242223, 27479093], [78290466, 96393567], [98046896, 2861654], [26089551, 7754574], [42009590, 55632111], [94386273, 81610274], [68093167, 73610193], [70981980, 96739644], [56014975, 7614127], [45342190, 55891900], [65847383, 24661547], [46650976, 24961850], [31306454, 47615627], [48312222, 18305124], [15929344, 9777925], [82777399, 92304793], [66852549, 96671750], [44341590, 77996279], [74388546, 55814503], [37640313, 44634636], [33454199, 5403341], [12964239, 83462716], [46236627, 50161855], [32917778, 44845643], [8191451, 43529334], [31959275, 52347352], [7025441, 89317327], [35704654, 69500900], [1661697, 60135365], [12724763, 64051692], [43603048, 36632663], [94609374, 67411359], [91327209, 6240400], [33815954, 61795045], [46375455, 70042026], [89169945, 8876753], [97174843, 16359367], [35889150, 79928687], [23938270, 50471960], [62293934, 31767661], [39340346, 93512141], [91929135, 69869467], [47061224, 66055764], [25362363, 90889654], [69136934, 14904528], [27537654, 25804686], [30321104, 6494484], [28042647, 29216227], [89522630, 51336126], [15056713, 18212946], [99224116, 63412679], [9139418, 90200683], [12896469, 22646501], [68247045, 27425584], [19813335, 74285294], [59171837, 37632278], [10465825, 28681294], [76491346, 59595540], [1461141, 67295708], [17622591, 66948761], [76872665, 72449662], [44120585, 23060511], [6941327, 76642249], [15738602, 68760375], [31267873, 7295143], [50017990, 74766555], [97189507, 94625397], [80232507, 75667696], [28195403, 43335656], [16731651, 19032198], [70795394, 18700683], [15061044, 13701282], [38665281, 17082205], [25794389, 42580281], [78936928, 99224051], [43634487, 11474371], [4906703, 69700858], [72900555, 97403227], [45388556, 41179963], [56454162, 26309062], [48156111, 6869034], [87237994, 10403316], [12097864, 87695117], [17301479, 81124230], [82935565, 30949476], [42084505, 5127660], [38222155, 93087430], [72430539, 50763403], [41026657, 30829276], [83550107, 79350681], [26980588, 64218258], [3056115, 55462330], [57470426, 2030133], [25704582, 94563005], [23557211, 16321514], [93855389, 69600358], [7451650, 31030613], [3605731, 57749785], [95383891, 45579807], [31290474, 13839404], [79718694, 20718924], [46381039, 46120744], [28281618, 75992920], [64239896, 22966125], [77440527, 79703576], [15587390, 56946248], [33793528, 92453721], [12798406, 30191842], [67980045, 89601377], [26171511, 49808907], [648314, 92980569], [85853157, 70273154], [84538757, 45290535], [43504969, 82899706], [92469399, 50017574], [91070082, 68612103], [54712339, 74495915], [94198543, 49366618], [99133816, 53853189], [80581571, 69191290], [72373835, 71902964], [95929974, 19856032], [16673075, 76355757], [40857371, 34120508], [68175126, 7312205], [84975714, 15927291], [61233688, 98926214], [19654248, 49874402], [75249649, 28297651], [59391869, 24181065], [88509762, 14070623], [57585883, 62018692], [55771383, 12149110], [44799687, 57960807], [37005310, 58392124], [50894043, 10026975], [77473269, 68603612], [91908637, 44268774], [3409853, 62000383], [6443921, 76012136], [87150984, 59807773], [71319715, 96983014], [48336403, 45897273], [97214288, 43053505], [61293920, 88669268], [52983726, 35656417], [74324878, 69044074], [79115052, 64146211], [87864227, 67992191], [53060965, 27033503], [57656361, 94430964], [23634037, 43119697], [33079517, 28714757], [37517850, 53170629], [98611364, 59665744], [19703812, 88431745], [10363618, 61209152], [91489687, 51892961], [72834028, 21867781], [84015821, 83607757], [45018545, 2092461], [13423559, 10591608], [80013932, 19565825], [88965040, 27157192], [13363239, 66238779], [78686998, 77702447], [23686375, 34206815], [81236157, 14545522], [14733424, 50605555], [14686411, 63701763], [89684369, 1226255], [81320468, 56855595], [56871589, 78543993], [32672455, 78214246], [98038108, 32692999], [10086662, 84906167], [25018015, 3091629], [92757999, 81484909], [39416348, 2113737], [15020106, 31425195], [87274804, 30358078], [55192219, 11229673], [63528099, 99170048], [93303503, 29906568], [13779426, 86155338], [3025766, 79954366], [70053387, 90208508], [31153218, 52794652], [55364289, 65953605], [73379383, 74579316], [98432945, 59065881], [58135742, 3203973], [31117326, 41102610], [61245400, 57972433], [91088496, 37334964], [82511061, 20426498], [12115156, 19926542], [10059206, 19139648], [52582243, 3028102], [12659278, 13048585], [15457695, 97602652], [25210476, 86196674], [94406944, 88170042], [25872370, 25147336], [69402812, 44120771], [47580689, 77073735], [70837884, 35185777], [59733483, 13783175], [69130206, 76956637], [1906759, 91901825], [55066896, 41128693], [29348910, 32602590], [29020104, 71074353], [44790848, 52935237], [90713965, 47157526], [57019721, 60179341], [8708479, 76992761], [77744515, 13097694], [40756477, 24920209], [83155098, 55127415], [41210018, 48875819], [52013028, 50247215], [49764099, 34838268], [42516754, 30156349], [81200536, 94187751], [17646330, 84846207], [8591388, 89530940], [14278782, 71337089], [41951659, 25109250], [77212965, 45285688], [59632353, 54782726], [52051589, 98248163], [48845181, 37241432], [786639, 42891899], [6145334, 20901123], [84236460, 41454089], [29366102, 31972477], [30834300, 79481516], [43478562, 83869699], [93873484, 37064970], [32893685, 25792696], [53467770, 3551337], [57126422, 70747432], [64653022, 43225933], [46907801, 56757520], [23442860, 20249411], [30135763, 5985537], [37358948, 33324908], [70824898, 51216118], [75984048, 53881868], [61836865, 32568472], [32426641, 87700254], [84513250, 77447496], [5631569, 26951826], [36736221, 95224928], [5395779, 71560718], [96228293, 16594669], [91182628, 55201699], [15979394, 20598874], [26711565, 70868706], [2924870, 10513172], [27947265, 30552885], [77638004, 65022787], [1302478, 21049285], [75788238, 16633442], [15921131, 22587826], [78865179, 2397607], [96210150, 63926796], [54679388, 72803625], [37285129, 19296305], [7968166, 89449521], [72983792, 10897033], [39222033, 71282023], [22016204, 40171261], [65705417, 7281411], [5417816, 69903405], [87854583, 60039774], [1961543, 53734098], [10147129, 11038867], [64097933, 20679395], [50175555, 56590908], [48807273, 92384375], [51268253, 18176853], [61361653, 49664160], [34636835, 42149502], [11471357, 41608440], [99625515, 57186045], [73067767, 10667598], [50047494, 77758694], [89294842, 28024532], [49829784, 86556901], [54993757, 85824121], [79146003, 80509017], [23561026, 49003659], [6475127, 56489011], [84789451, 33709889], [62919202, 15248339], [83524106, 90289694], [39538627, 92289026], [91105957, 75645425], [27092709, 96066348], [34841684, 86941903], [60574023, 53301881], [50564737, 30543040], [15742731, 15646645], [95272723, 80436644], [70738222, 17411422], [47540234, 54201748], [76851590, 16910604], [31710509, 68907209], [44364710, 24563238], [14278286, 90287966], [77462308, 72709466], [72011427, 59990842], [66320239, 48439065], [40914637, 89797004], [87321108, 23415437], [5823762, 79534529], [69014693, 42259917], [19722443, 60712724], [80886772, 61352256], [90256205, 71037532], [21746972, 46827404], [57370565, 9615379], [19207191, 97007606], [12705717, 3336238], [84749022, 63614359], [36798318, 17678057], [72722613, 70889722], [90020088, 77899456], [94892920, 56073789], [29326806, 90410154], [60948125, 36643248], [24746116, 89971903], [88077549, 33232082], [28573682, 75989353], [12339154, 5723326], [6794609, 6966213], [87696337, 20122264], [22698028, 91896117], [33672324, 3729631], [12413770, 21809582], [21033385, 67624375], [48699054, 81180679], [94134936, 59425927], [22497499, 8854990], [9380873, 804426], [82422134, 67215511], [46442988, 25116887], [13789297, 53472372], [84007290, 48703641], [14927958, 88259018], [46932010, 69904924], [16262205, 61423026], [99807645, 50618284], [36219019, 13013929], [20517822, 33853036], [27176301, 18901853], [98661695, 85261234], [27249834, 90353253], [93891599, 52731578], [33672174, 9311332], [2661074, 8115665], [27611689, 32496520], [13324954, 24537311], [78823828, 81575575], [88465827, 22922421], [91299542, 22735818], [91747741, 58851664], [28743916, 33412403], [51178148, 50557813], [16502057, 18002434], [42254431, 40841588], [41708948, 55788629], [57737557, 9590727], [15509452, 59433585], [25094424, 46278234], [1608758, 66098019], [16570038, 85947633], [14833980, 78351525], [33658305, 65520432], [70568979, 59914158], [50859686, 51452781], [20908053, 9811835], [38543270, 50956989], [31213679, 43563956], [18693067, 30515675], [21065388, 9410742], [7027843, 3289777], [67799938, 57990141], [13543718, 49977778], [39762102, 30117355], [1695506, 40985004], [61239997, 98057995], [2409537, 69282804], [5653153, 40566623], [43559579, 98145494], [55657435, 86668253], [21367724, 70047532], [87963189, 11055727], [99246467, 55622041], [1996314, 56270004], [38776177, 45500808], [90510261, 73821374], [86241269, 4074548], [57820812, 26505326], [74897042, 95703132], [48590820, 82630986], [26089325, 78313668], [62800746, 57644337], [96978180, 10668878], [82201270, 55713930], [48867899, 13781486], [56601592, 51819318], [30072684, 84780181], [17154176, 56027623], [21517080, 85386856], [24734316, 89197617], [96325556, 34963195], [35211881, 35609615], [46374707, 37310799], [23021808, 39080850], [82927863, 11585436], [98134234, 84746247], [83837449, 61697390], [46076497, 11499183], [82138933, 85035373], [65998329, 93219160], [20148369, 97248586], [52281774, 37783068], [42740045, 68059315], [40607419, 45607853], [95693114, 83760836], [15462363, 75955170], [5671126, 77004171], [60716789, 2657799], [70290245, 47440331], [60534288, 63952559], [8951817, 89714282], [11816483, 22751350], [71340491, 11506248], [1792745, 4190460], [80017225, 25586625], [85876377, 54401624], [57119374, 55705175], [90789938, 2524848], [89406011, 66220901], [54470127, 70749873], [13612496, 485573], [29552845, 26567981], [44489170, 38141750], [97486762, 41165613], [40537812, 73309446], [93778785, 87186539], [94509670, 7371387], [76060052, 67102268], [61778320, 60706568], [49849518, 87586937], [66374950, 62438307], [6544264, 73551704], [38203144, 98220414], [69474944, 58381031], [56873393, 52645855], [51740990, 6524579], [30726076, 78882651], [36872040, 90632661], [85745765, 2217688], [62972929, 77279675], [97502529, 5995784], [57425744, 18792500], [28078044, 59328058], [73217669, 24320364], [78440000, 50211476], [87905848, 63170303], [37044751, 15726050], [25499064, 23963585], [23211800, 97205702], [1948479, 71292323], [96566888, 90411238], [96178419, 15305776], [9303822, 73749136], [76756668, 97738919], [58729924, 39686727], [58587176, 97854328], [28013645, 74268423], [50191618, 2359689], [97198091, 98773309], [11477822, 85507651], [54877243, 49921410], [70778416, 46827566], [77577533, 44467374], [53184903, 76289161], [25863706, 80615151], [35050892, 64404276], [52911896, 67379694], [31243880, 61345593], [43616443, 72484571], [46610310, 97914996], [87752215, 17317852], [64615990, 30089208], [35177523, 97840369], [70220480, 75941012], [26170279, 40980520], [21254897, 77547717], [72719927, 45595246], [33482465, 84016607], [57824885, 45945318], [12743051, 56552526], [21196195, 51839114], [8260151, 55675924], [16134592, 62919543], [70251666, 28247349], [69018365, 45581309], [81745164, 58193932], [72132690, 66483925], [29326164, 58931358], [43725282, 51483479], [92766456, 20783123], [65603942, 90338891], [90736656, 45074025], [55493219, 28692606], [61011480, 96963172], [44484343, 26914731], [51454657, 38187839], [84852169, 99638895], [27692470, 87852407], [54547546, 17882465], [72494457, 71434327], [96053149, 32191827], [73182999, 27193550], [15976375, 46754580], [58716176, 68351254], [38726547, 62951997], [14594773, 72040726], [30975539, 91586187], [73647182, 14995650], [66740388, 99615751], [33929648, 55374518], [95426767, 42269772], [6158716, 83183964], [26283116, 71115014], [31555748, 25321138], [6016849, 79359500], [85128214, 12798376], [70398773, 91930966], [99477214, 56414920], [56749983, 82521791], [26392529, 41122934], [35557927, 55530267], [92746321, 22735176], [15007000, 15548339], [18985791, 80377574], [85427394, 56966503], [93530551, 54982200], [46709669, 27887893], [60003574, 46334949], [7579031, 43687978], [76362705, 1688300], [76442770, 32873416], [25687614, 57462169], [4611801, 87245726], [94737129, 57525772], [63438236, 85897638], [75763363, 69990354], [62200585, 3733837], [27598323, 81115567], [38903737, 93622424], [95056011, 11273085], [37782182, 85981553], [87908010, 52346327], [72802180, 18290440], [88143784, 84177062], [11914852, 78243384], [77521285, 47078445], [81324911, 3365287], [25432816, 81816553], [57630591, 94323183], [66668790, 57498164], [28541583, 59187596], [67434683, 29690880], [61539409, 75759559], [74511289, 79618112], [66137339, 79737653], [82314686, 45620636], [86002238, 89103799], [47494449, 29089839], [82303745, 65202673], [36057400, 10470946], [30603885, 42130560], [56182803, 75077512], [89886499, 89861794], [53270518, 56082645], [71889310, 76295531], [45718148, 4260671], [66213451, 28391860], [3941261, 20761977], [65416581, 33215940], [76963157, 23255611], [3318156, 25100138], [16585389, 86046287], [38127935, 44836070], [93384881, 40297459], [41918180, 91640212], [65707309, 80462103], [63291595, 71311381], [98599475, 94624404], [45067890, 34362978], [31162526, 26845969], [82042942, 40502182], [24035094, 44754263], [46900539, 4042888], [54861862, 61991143], [21986836, 88673293], [73412811, 6273025], [94373587, 37457266], [25470246, 23548692], [90645230, 41848166], [49625640, 88111584], [71561389, 86498909], [99896138, 93865307], [44076059, 77575642], [5846323, 53742377], [54636460, 19165674], [198501, 9421144], [59782254, 83999882], [45343947, 84924016], [16325938, 25864740], [72869291, 41099717], [63716607, 92414744], [26804778, 90217332], [99211041, 12632961], [30504609, 92513181], [787093, 25748221], [32542497, 77427671], [74659482, 12316811], [52672559, 73596145], [59232225, 26169145], [52141439, 2267006], [54662454, 32390658], [94355081, 25709388], [83409657, 92596624], [33820118, 24932128], [73110707, 5534601], [48443557, 42601892], [98832133, 87415318], [30672857, 20157695], [40448989, 72443556], [84907660, 35576785], [98634325, 17830565], [89610865, 83361004], [37727189, 51640554], [571551, 50245306], [68997886, 70095497], [26087110, 73132188], [92857400, 4781903], [75730571, 47351779], [75969843, 87464219], [35426925, 47582498], [88804774, 74350692], [23132702, 81148682], [42014199, 40849707], [68034558, 69338921], [48097000, 13666282], [23543985, 10076034], [48810278, 10834407], [36747283, 82051870], [69099353, 15259822], [22426735, 50197695], [6464772, 66453701], [25796709, 18195616], [84701252, 32582967], [50548077, 32278980], [47707295, 1748969], [99719988, 86715042], [29705198, 5203534], [78242089, 55421727], [96967005, 18737786], [44777183, 75546493], [72369912, 47283250], [69833407, 14124678], [77398567, 12662545], [73996085, 55454482], [39345777, 84284536], [49184927, 93246528], [63907712, 98967839], [1893259, 31378010], [82068848, 19970994], [99378288, 33193247], [10374646, 62860859], [92887570, 37151760], [24512234, 86928512], [82806318, 37018546], [80744142, 96001385], [1178719, 61131312], [4475101, 13976470], [8541790, 83133819], [84222924, 67467033], [31264349, 55260448], [26703069, 28808983], [1528759, 26881015], [97533099, 69366524], [95908150, 6268875], [7508622, 56497594], [55198281, 81700411], [34348290, 9557990], [83247159, 85012265], [12507552, 58260001], [71013804, 92777450], [39953602, 45939905], [40264122, 7491911], [43165111, 36779674], [61394900, 37748386], [46394431, 95688627], [3347515, 71614047], [28998992, 43952369], [71857170, 53258770], [15203517, 40022925], [71305759, 4052725], [53971974, 81304756], [29115938, 36893877], [55069019, 92609554], [97088501, 53251952], [53454304, 94711604], [89979075, 25612646], [44538849, 34407383], [85352847, 38035045], [3615497, 57527607], [88293067, 62363391], [97278090, 18068043], [88781966, 99859916], [44024533, 70023140], [88660241, 8658946], [19165582, 70037604], [60091030, 99404423], [41395036, 87817530], [62474888, 27458331], [87176876, 85159679], [27676879, 72288032], [91032944, 88689324], [977784, 30112953], [87148314, 89268890], [3175370, 97852144], [9971812, 59181627], [50985418, 59888102], [13368579, 22987386], [17753781, 57753221], [47851675, 9916939], [16277028, 133348], [80910251, 77237149], [16491617, 59026801], [19832426, 83351681], [29270711, 48809306], [98918151, 25388623], [49426750, 99725815], [97816580, 95529340], [76411812, 10985866], [81365206, 49428028], [32776010, 74321568], [66750357, 39971825], [56916271, 33218598], [81766569, 98539928], [42937795, 56887112], [31807097, 66027854], [55318267, 91665373], [77641087, 91728427], [81138299, 33451390], [93991456, 70316345], [86194612, 53626262], [47311066, 59601730], [28482611, 98432553], [51669493, 93854872], [87583010, 42541096], [55982350, 16031713], [21352637, 29824895], [82408369, 88771134], [32992558, 98449835], [23226312, 67085350], [24284370, 6456042], [31605303, 81052574], [78997269, 20002474], [7469493, 91364036], [45600973, 74547240], [7627781, 10646720], [97920919, 23593221], [124297, 21870589], [13689497, 24671701], [27682913, 27361264], [76006608, 10943261], [71407359, 64529891], [8818848, 18336518], [93645522, 69953009], [18762980, 22222602], [46154832, 67521805], [55195220, 70067065], [50370241, 4719274], [82856569, 65822249], [19131640, 17297601], [54787954, 34565977], [67890403, 54664073], [36595529, 44777937], [97175658, 36539607], [31727676, 55953667], [29667729, 3475990], [31531614, 33959047], [94279240, 33809609], [40125310, 18304053], [51266130, 60161074], [28413871, 56644635], [11658908, 56858798], [71895675, 61081633], [75962752, 50501103], [64194757, 74734837], [52948216, 8971992], [16334167, 70202123], [24499814, 50990292], [70962824, 3665359], [57046706, 57891255], [81031065, 15788045], [10872240, 83066278], [19579518, 64387836], [43140524, 18656902], [80174114, 72212184], [52576303, 56096558], [34260119, 88551112], [49992032, 77013199], [81233480, 54806511], [75308907, 76214319], [51923528, 89649555], [58294822, 84163274], [25253644, 72462957], [37874680, 94748308], [48210201, 33729866], [21634748, 65442663], [31380239, 75164417], [46677955, 11818958], [34126428, 69220156], [23682860, 99937988], [5787431, 21338724], [90257004, 58475838], [39920790, 48083489], [71320518, 66072615], [66497088, 26384608], [65379720, 84171326], [33211464, 45232928], [79051050, 17558412], [15566991, 71924944], [53854949, 39389868], [69924141, 8194576], [80862173, 99230899], [44971450, 97661911], [36564271, 77353271], [40909735, 17460060], [69351139, 53681250], [78847142, 24265339], [23380555, 49881020], [2410582, 19735408], [59505982, 48630063], [24911706, 80614965], [66079610, 53682379], [35182101, 3797829], [8211705, 51074815], [4967656, 14370848], [63362237, 13882171], [92970945, 94810225], [21976172, 53323534], [35047923, 20493779], [6260754, 37684061], [92472034, 77363515], [99287396, 56540704], [78765483, 45023436], [73330624, 25542371], [55735740, 62786060], [96007585, 69283021], [1838710, 89802992], [92240753, 70612900], [12892839, 77456250], [20730861, 39098839], [36278768, 82036482], [83959003, 73909146], [10159847, 16437244], [34355791, 24144044], [96891036, 49135841], [464171, 93367547], [61173544, 57089251], [3858548, 83590861], [10032298, 56920157], [78340596, 18082918], [39560228, 47855313], [78285848, 34915551], [54656527, 531253], [36838590, 46792105], [92070935, 68654275], [11524910, 70040784], [36173870, 51293083], [21695411, 92930939], [26142720, 49605528], [29863711, 72547455], [97110805, 23401456], [67275851, 78184692], [83775026, 36907975], [10553347, 3037944], [38008822, 18464150], [24415074, 36499289], [2193461, 5055453], [94376134, 50837903], [75333080, 8355467], [1909490, 26550827], [74885780, 78782609], [39620127, 48876589], [88447627, 20840908], [10831616, 36594903], [45638369, 76502806], [95425621, 18819419], [76523928, 96142458], [34975012, 5213176], [28949819, 94532083], [80561973, 45254891], [96629871, 33063885], [93070157, 76093348], [18390285, 52665634], [43426445, 64167086], [28342094, 67881634], [41217082, 37376246], [65388055, 81507533], [86867531, 24768517], [85147839, 14346803], [8216460, 27940090], [54115027, 40146657], [30481122, 57514269], [47890429, 38674079], [43323980, 71450604], [40655366, 91398048], [108632, 18177067], [75327211, 41723408], [24090000, 67801858], [78941038, 2534017], [61500483, 68003168], [75276960, 71921021], [17752672, 86599767], [16558825, 78312283], [21935467, 53535286], [24209492, 75940910], [4736712, 57253133], [78695587, 40944412], [79240690, 36787588], [12983247, 25597054], [97803736, 82339452], [56253935, 74832730], [80628993, 72956204], [2353799, 18867820], [15579945, 44150290], [33502152, 231947], [56915574, 44875767], [52779185, 26009328], [78667124, 92599402], [17838702, 61165114], [8538644, 50943947], [67252103, 88865239], [23784064, 820582], [65906050, 1041951], [20880419, 78103226], [48178517, 47947091], [42255065, 66213193], [29867280, 68774679], [41355655, 79270695], [66164190, 679800], [47302196, 14654520], [84617718, 86782547], [52040408, 20845582], [44090826, 61809877], [68058688, 15933597], [72502027, 9912653], [95552881, 55622050], [43622697, 58718107], [11850995, 22465823], [12390595, 52011639], [72664816, 42137504], [39113315, 4729324], [2403012, 24791026], [17162623, 51959395], [27859206, 86168094], [96859321, 1649391], [46935701, 84608016], [66547469, 48245299], [3661278, 41104751], [52539190, 64739281], [50472794, 66932524], [26579177, 90032786], [19024144, 58363428], [48134667, 74156198], [16577223, 54744765], [70107379, 54117779], [95812191, 84949297], [98129972, 56828014], [83948369, 93691071], [70902593, 29749877], [27269368, 2783706], [21633632, 20224466], [72175693, 12766942], [17225802, 81853062], [11828346, 67973441], [3720134, 29173804], [77386994, 595999], [6616119, 74870572], [50471126, 19016099], [91370060, 53341980], [2946799, 64242531], [53166809, 18610011], [28450554, 20526205], [16096022, 73653622], [6865258, 99214152], [19675286, 74127257], [99644268, 85928769], [58902890, 27061223], [36885755, 62723140], [57766036, 82448829], [40258137, 4240944], [58844010, 74436137], [16072310, 46733977], [53241467, 13976231], [20802051, 57871273], [98716668, 95611195], [9561901, 12625079], [96033241, 19343508], [79627305, 69048822], [57969485, 29841261], [59038444, 17475635], [74214514, 73116750], [49378843, 12993966], [14077920, 30344497], [14107519, 41723782], [90828648, 8160347], [24878089, 80604375], [20693079, 78713762], [40523622, 66484612], [68393676, 45622066], [62062559, 27165971], [78378985, 92889495], [98134753, 25915125], [66344801, 88584713], [83937449, 21799668], [84141125, 77267604], [4751815, 73712578], [63141439, 85007047], [80436226, 57292330], [43579998, 94904401], [77719553, 91222752], [38453958, 2182202], [9749366, 28471212], [64661863, 8342592], [30007847, 49865742], [84021860, 66924085], [39082141, 79320679], [33198683, 86859765], [67301874, 43348311], [64457990, 20514051], [11511998, 95994086], [11248598, 35909812], [89816401, 96059798], [77452945, 20177695], [22403862, 82150928], [41225007, 49453107], [69475422, 26088567], [30819587, 56086264], [93273130, 92877436], [3819669, 32934931], [89292577, 23152007], [42995945, 89575952], [63666369, 13143358], [28807458, 76352916], [5219892, 19959783], [42489643, 17231246], [26830180, 15808781], [61193634, 10773294], [97821030, 45493948], [65604234, 29968614], [82127737, 51028239], [64420519, 37527437], [85550411, 40891563], [50133134, 45316352], [35487284, 31745977], [51697303, 58832567], [873694, 21138424], [8843226, 68108779], [95415807, 5525660], [76207752, 40936842], [48473290, 94055449], [76235764, 13339979], [56976865, 92858187], [66120293, 28878553], [14436332, 38783932], [17759579, 89066590], [36109496, 48226417], [81387474, 39299280], [78961137, 63999083], [3970873, 24857254], [93396330, 27281180], [41115376, 49301062], [2345249, 16985326], [1798810, 52950002], [35156944, 37504630], [3049298, 27127561], [79391932, 29472548], [18872585, 90430949], [21949911, 71886601], [37256848, 17340757], [10161981, 22616052], [22759851, 79734616], [82448059, 19967672], [59749248, 94515395], [885505, 31483304], [21000332, 5714355], [56628825, 57737204], [61336481, 15636131], [23998469, 20554527], [50253612, 68656773], [87980883, 47004507], [71877306, 12988208], [45889692, 18311394], [80597623, 40803768], [4034809, 39190597], [68092312, 56446539], [21605226, 42228934], [17816120, 83868323], [45169559, 99737699], [3005855, 81744957], [87159625, 64103758], [34319005, 25694404], [74242007, 36461791], [29501128, 89949144], [72113380, 23009272], [30721828, 38599263], [79386047, 202303], [35244635, 83399467], [54580163, 37414844], [51527038, 17666928], [53542105, 40484207], [45809205, 69471576], [49330282, 72061545], [42640492, 39426437], [93754496, 82171566], [6085835, 35943047], [5700016, 10740497], [13576119, 11777109], [51513141, 46063237], [97411878, 64092169], [33941081, 39114163], [20899259, 53409991], [53413534, 87132796], [43703923, 73276850], [13669247, 68760872], [50946470, 28044981], [90398516, 64163257], [41967032, 29466287], [49665958, 9217408], [22617859, 84481860], [57661093, 98993672], [99928110, 69404345], [1202287, 63158621], [19854492, 82886098], [75616152, 48065166], [67805637, 98250888], [91159867, 6598148], [67797088, 18026381], [34649259, 76793171], [85134818, 94976011], [97906755, 57950102], [73160133, 17058647], [5423946, 45935433], [96522668, 82432100], [62507959, 50322372], [4646639, 69260405], [33688669, 44296900], [47296852, 58621051], [19076957, 88336687], [25681055, 91537258], [97610428, 49380196], [84681687, 68757741], [61050967, 37382609], [49842261, 67934469], [22260109, 37591384], [35157325, 33309029], [93186119, 56552069], [21177604, 85984041], [45025452, 38681239], [63219288, 94117134], [47440824, 60911249], [60983744, 82358495], [89111022, 32740893], [27807227, 39225570], [97943583, 62802968], [90865771, 20728055], [29635690, 5524903], [46411801, 28158696], [13480666, 15854870], [25952669, 9204735], [63148486, 2565380], [6987643, 19465235], [4528992, 76559763], [64422053, 45889097], [98484028, 94185928], [28685845, 88492420], [20635260, 71328022], [45606425, 51621085], [82782499, 60529416], [16925065, 18587783], [13033443, 22907770], [71702356, 23793582], [10448689, 26423274], [58216093, 95828807], [662057, 1981573], [88145839, 52372097], [14142937, 79728019], [52010727, 19126603], [2183958, 92741386], [88754485, 10560098], [62594528, 4848895], [33157665, 42729618], [80454267, 25318545], [63558050, 35376217], [98608258, 91416589], [29553564, 31512399], [19712872, 90971890], [87156835, 11282184], [58366656, 26157906], [75880833, 24620536], [36631178, 95885636], [78461258, 95315410], [67193749, 74935236], [10720986, 77348247], [70232926, 28887353], [28592429, 74365136], [10751666, 97898636], [94139047, 9628678], [26081377, 25712795], [77128620, 89372737], [49845006, 58179086], [64912411, 99844755], [8706338, 30225575], [66868589, 75694488], [92084309, 28439284], [37182823, 42581494], [40116160, 41103958], [63677639, 2274892], [77858824, 67229051], [33100070, 29771131], [48935846, 41481369], [97820073, 16740173], [13519023, 17251216], [78886656, 24662910], [76591327, 10302841], [25679340, 96404389], [35731856, 22338272], [9780407, 75131965], [55246713, 45800056], [38771277, 98716686], [94627688, 63327352], [23366262, 14148700], [40681112, 79848990], [88457868, 16364230], [70479235, 63602643], [53008250, 31533301], [41748187, 31575724], [90243975, 97216188], [85037208, 51242094], [19843009, 40518602], [23163373, 24154526], [32259149, 71313531], [98428737, 64484], [27897969, 17544064], [15181357, 67443833], [85629077, 38904456], [18887720, 85848211], [62400974, 57770313], [73799664, 53899325], [9617043, 34782176], [79764262, 20760338], [40761964, 67014091], [81126243, 91835005], [44025309, 16590025], [31941529, 72818662], [77592983, 74774059], [49247924, 40488130], [24109975, 73469573], [25504602, 68734703], [86899531, 1774448], [55319995, 41010125], [41887699, 10215311], [10468067, 56160655], [53384474, 35880630], [47404717, 74275691], [85321007, 94611545], [52661190, 433959], [13254370, 55431763], [59741125, 32157592], [78932626, 66365840], [42752686, 54134816], [38945796, 3913843], [21251850, 44248001], [59227649, 82959749], [81147277, 40952009], [85936096, 63856763], [64989468, 66189274], [62279034, 6970377], [32418448, 79723033], [29881581, 44261230], [37822300, 9275342], [98847116, 86147255], [42988612, 46732423], [8134628, 13768550], [78396281, 14247824], [64984043, 74533538], [41206814, 48587884], [81604855, 1337010], [41306240, 72960140], [36908372, 99213280], [58485353, 80790268], [79419764, 6966016], [14437131, 91038150], [28515040, 81921065], [86496373, 48560810], [92259579, 523366], [32665183, 57747769], [85978730, 77652629], [50474902, 68404123], [18979503, 65274424], [10475033, 68690637], [52862793, 63965374], [28960224, 48519127], [72761970, 46171579], [8156367, 63405409], [61338428, 32464522], [10376615, 10349104], [17590280, 19630790], [968289, 58667732], [98755339, 84413590], [18903603, 48248660], [95781911, 33565130], [87061159, 69146969], [90507603, 94384223], [70830881, 51844879], [73870048, 47672118], [17225394, 69423475], [72107419, 62826527], [56981413, 1700393], [96725310, 73739733], [83799392, 92325149], [38205381, 89707164], [25398135, 66578667], [47813236, 59035528], [98884702, 41049766], [16162167, 54360816], [30644421, 83677427], [63576438, 73490255], [81394300, 83464261], [87134501, 82084791], [2582588, 20308439], [98313607, 63205908], [97858723, 64721289], [84720213, 13340814], [51675022, 81488507], [70858149, 45170535], [49976576, 95026760], [71011502, 54561967], [62644526, 8184043], [91370795, 12666310], [93230597, 25600703], [20061151, 10609741], [29071622, 69713319], [4703353, 84705244], [545980, 9692279], [1592398, 83631747], [47753472, 70022228], [15148086, 80525729], [71714187, 12501678], [693731, 17254974], [64381324, 30615179], [82937259, 5818592], [80786368, 10636420], [12397334, 70756941], [86326527, 70654729], [79082612, 98848615], [96359005, 89912156], [70109997, 65735873], [52253676, 78908714], [74838690, 40819826], [69180125, 89211155], [59887761, 32802929], [13356307, 78512951], [5674303, 1453660], [57069835, 12094642], [88074016, 45811178], [52706738, 55922133], [18970452, 5853472], [57066617, 87265851], [83224824, 28615442], [2314170, 93649112], [19812067, 41536938], [98529311, 49119907], [22227392, 49663044], [83555724, 72056818], [18941478, 75139070], [99837801, 14935030], [604552, 95180365], [78067120, 89362762], [3012373, 75415384], [22205472, 88177013], [12383875, 36587801], [76118893, 72654278], [64282968, 74552052], [72378605, 24096924], [74529693, 36454868], [3864998, 76029585], [64297190, 59119447], [69955113, 21503634], [55250566, 2224841], [96911781, 66254765], [13885561, 88044606], [99619180, 94579830], [67592753, 21052995], [26838341, 55709293], [82598700, 13386574], [86515046, 98905764], [84691198, 20082807], [86717623, 16449982], [83275721, 37897068], [72206776, 11095228], [38640015, 99463128], [24688182, 85038347], [96459885, 77599768], [9614254, 9969189], [1092550, 88986993], [80881918, 32594339], [81858896, 92759233], [398916, 25506632], [99198436, 71399853], [97950301, 84071492], [97196159, 31058854], [22640782, 54033797], [30475436, 76761870], [68932350, 96560010], [54086683, 44705762], [51616658, 64040503], [83116139, 6736265], [94267538, 83398069], [78773532, 8834367], [74147049, 77792435], [37968888, 57994312], [92442250, 4847043], [37890206, 74181484], [87870508, 84773575], [13166604, 33610448], [17953122, 80710147], [5104817, 4887417], [58893082, 83681541], [2076652, 88005329], [20587970, 42603425], [9542808, 19800723], [4446107, 3716859], [30516106, 9480834], [62874567, 42503361], [75336978, 35508657], [89325481, 85457938], [39023972, 46012964], [22375762, 21024448], [5868151, 96718808], [89894218, 66671815], [32709741, 72847296], [98129742, 33298844], [91265045, 52146809], [94655697, 50851773], [61196124, 91069784], [83970631, 85975293], [28117373, 91004000], [33698611, 98623204], [82660698, 78681354], [17779759, 43619871], [35484400, 84530752], [34694108, 94240882], [80786294, 14040616], [54581944, 97913005], [74167509, 62150947], [84554538, 44222665], [49863307, 3932477], [24268932, 59340549], [46975428, 2361455], [2020649, 29665325], [39121107, 44413938], [87617815, 98892996], [46383928, 13029279], [29075477, 24263948], [47529963, 55989078], [45903829, 40473030], [76920958, 50542170], [64131677, 59025943], [26988462, 67436650], [7857992, 25238104], [30353674, 50468688], [81694616, 62332567], [33781217, 20478362], [20320883, 45863485], [91941862, 78619854], [45227383, 43387397], [98781588, 17293301], [68590627, 98895158], [7139426, 94680448], [97076926, 41328772], [65642789, 16097312], [89401357, 16454976], [86764557, 93176139], [39552634, 80587114], [51389859, 47998055], [98039629, 98714418], [32402222, 4150845], [32524105, 78098729], [38639182, 53638442], [47437229, 1125921], [24989706, 16430523], [48769053, 65699695], [28795332, 80750793], [1907992, 92712856], [62558059, 56976281], [50022335, 32779990], [19343053, 66484131], [72198812, 49466019], [84654236, 32379278], [16292529, 85483298], [29939762, 44797497], [85177928, 99686486], [26991970, 96176830], [38862821, 20043760], [69105951, 41166956], [422012, 66360154], [59333052, 59131985], [93458307, 48371358], [89615404, 27660903], [61324063, 96986092], [98483158, 83207819], [40949431, 32792987], [24022609, 81988959], [11476340, 13193461], [87155031, 25067007], [67806493, 31797662], [76638924, 70724894], [49507849, 31207553], [97972882, 37755400], [32147654, 72595017], [7155084, 22864132], [24290755, 44107467], [598579, 51419820], [60873806, 61824618], [13388103, 38364823], [25323234, 90417297], [97727827, 37652405], [95923875, 76296984], [73904401, 50950637], [12494896, 32293472], [87031150, 50962569], [15736530, 24809388], [6498762, 46330146], [60822802, 58153345], [4087751, 19861782], [59765199, 48502540], [30150396, 17718879], [86924445, 71762239], [79953143, 93411067], [3584009, 39040798], [86911700, 46243053], [34430752, 97404431], [91215402, 81911503], [34254820, 41704236], [68234565, 74328649], [90523481, 53006537], [26025752, 20973410], [70649374, 43859319], [21407147, 73773319], [68278255, 50793757], [36831110, 41835432], [8912665, 68020696], [45180207, 50605962], [12740803, 85044585], [3056113, 97664157], [4622868, 71131278], [73366303, 37773225], [38171808, 48247141], [39561546, 27477524], [97592011, 53794023], [66955643, 4698308], [45914844, 9353038], [58472959, 48868642], [819819, 73606808], [83673044, 37813050], [82904043, 26659307], [32540929, 54181979], [96993802, 87653395], [27412227, 23824367], [85851278, 6008001], [11676049, 3734645], [94668663, 93131373], [8593625, 84581955], [10120336, 80833844], [41896653, 73577988], [86041335, 2151390], [15247883, 87281991], [49924032, 6421383], [57663526, 98350155], [1648406, 37894419], [66044201, 37859321], [57134745, 97660907], [13843892, 83533112], [55097055, 16961151], [25400235, 71630571], [45178404, 12943282], [66710188, 65532211], [47767685, 57416416], [44592541, 46348938], [68618535, 83392733], [7227697, 11117138], [82318017, 83705661], [23123193, 91476499], [63215939, 63321777], [6032196, 99829539], [52068735, 4117759], [5031150, 69465728], [88392746, 15785505], [67865633, 99777430], [26013204, 31093403], [27823751, 59516646], [96726519, 22131946], [13318529, 63054350], [87432079, 72789050], [13505791, 21177575], [56275628, 40318747], [53408103, 94877323], [641733, 8614854], [7137211, 24723763], [72634266, 378762], [22262451, 17151011], [36107867, 67866416], [89017114, 64958605], [55063593, 17454801], [53911302, 40139250], [49932713, 3827600], [29687932, 95134834], [52944239, 74023747], [63487023, 74168204], [9648548, 4947323], [54592541, 84390313], [50732510, 68687061], [66740571, 98464453], [94155071, 40918421], [31584866, 24788330], [60520823, 6379169], [58179697, 17890566], [12623311, 16193190], [54211083, 20217681], [87296495, 91010494], [27841488, 46325720], [95215361, 23158533], [68357389, 17271394], [32736907, 84272713], [29830438, 29410230], [44403842, 70080120], [40556872, 31401549], [8279810, 44715113], [40309838, 30326791], [73605142, 5908468], [88245417, 47209544], [62193284, 18236282], [6945913, 48745879], [58013985, 85988723], [13093031, 9292922], [96917046, 35118383], [92139033, 50297123], [45978510, 69090898], [69450479, 3778315], [21975834, 31628725], [18009345, 65037785], [26793714, 36890189], [88601856, 4093626], [74468853, 57455784], [81194017, 31512545], [81247418, 44591582], [82665301, 55719782], [36081237, 46493145], [99994661, 97366855], [47673249, 99351008], [5545133, 27628222], [35837156, 36943036], [94431322, 67476668], [21064105, 83916334], [3002003, 94186581], [96281277, 53920136], [57387709, 25612130], [19330596, 62919343], [33643213, 69494332], [26984393, 48566414], [74933036, 62891089], [31643809, 63369906], [78191793, 60463897], [59657383, 16143505], [63993382, 67343352], [87865788, 30553819], [21258982, 24900192], [85283574, 33573782], [54532743, 24016264], [59745259, 19881035], [68560674, 99502932], [13732913, 64262630], [15382039, 33748683], [42158693, 12672155], [69692649, 24066697], [84013135, 36403272], [58021893, 85304828], [76457753, 52282605], [38803454, 6849118], [20395127, 24103942], [65905019, 44854343], [16351049, 88453565], [89068263, 68914471], [75085005, 87305593], [35850778, 15997565], [42781527, 8403668], [26437469, 55983331], [93757810, 66488506], [63752476, 47326306], [79025646, 15228390], [9968593, 64821965], [15529229, 29664084], [13787614, 24435798], [74319480, 53274579], [60843280, 34620477], [37882196, 48555895], [93392478, 80158137], [64952979, 43455206], [26047333, 48379860], [61222754, 45680629], [57971188, 81584023], [91738665, 33366666], [99046195, 534586], [45682134, 64158719], [21308981, 82400901], [30791940, 8420998], [57819997, 65325524], [51750809, 93496993], [44218423, 10716407], [67453757, 35661102], [86754612, 11549289], [25874471, 67444311], [23184963, 73764599], [98392760, 17455822], [44366718, 95421109], [6762255, 36976727], [77852921, 66440181], [34243759, 23017570], [98016131, 58723034], [75767577, 71504083], [83067113, 59601640], [63951087, 73009126], [68023745, 29317432], [91047994, 86034284], [89931336, 26212121], [15890889, 32268193], [7430977, 79027145], [38438594, 87740381], [94452267, 93830965], [70544395, 74186844], [59654466, 76395425], [14515796, 70217799], [18059041, 40971572], [30941410, 42719899], [16118020, 98023231], [24499490, 71800231], [96487987, 28012284], [16821803, 9987965], [65224530, 32640741], [69691522, 68263726], [34225073, 99987108], [92258592, 60919832], [69699282, 64256726], [96596366, 29349023], [627863, 96598012], [63826777, 76544450], [53390898, 80695281], [8308825, 41172228], [18571072, 87217932], [8371351, 3515579], [96872149, 66189397], [37696949, 61437756], [81137375, 88462880], [25937741, 30911672], [89578439, 73438110], [70204177, 76206704], [16165337, 15311429], [41001757, 35023101], [57744963, 59960776], [79504331, 38374938], [78483654, 88892914], [82135470, 87566460], [2175665, 98039616], [86721994, 40754107], [98704805, 39576470], [66026248, 57503385], [93813789, 36155565], [26026307, 62305206], [18569348, 78777719], [34334824, 3018833], [54969954, 45791497], [29250712, 8563778], [96071551, 79309475], [80056714, 52284585], [58318516, 32738361], [12022061, 75671896], [61696882, 58103060], [82807749, 30954901], [74272081, 92093758], [93377505, 75076256], [26204590, 17879811], [15637929, 54606749], [24370015, 84268167], [33376764, 55684685], [29885596, 41048471], [50171434, 37485146], [31242418, 56298264], [47505768, 45050837], [17305680, 67745436], [93756285, 77222789], [14555709, 17298263], [29306016, 86200185], [98239973, 75173545], [29831346, 82540980], [60574218, 63490771], [98390202, 63154949], [17854284, 85198425], [30247428, 81678669], [19586077, 64207630], [12910669, 61017363], [18271036, 44315614], [95430233, 17254199], [61119954, 80047481], [71095780, 65286394], [68621482, 62938345], [99581744, 58971781], [10898602, 10711568], [76454272, 41799005], [74466873, 34163326], [18009269, 88701585], [89976332, 4131300], [65849547, 96873067], [54866331, 71011943], [79130933, 65951457], [48301137, 55531109], [13023916, 47399130], [55883199, 31381061], [82094439, 96481236], [50937950, 95233622], [18470480, 90922917], [67834167, 14488845], [78589899, 46742209], [86080413, 80017133], [65939683, 49261947], [54696492, 4958769], [39606306, 916185], [59735498, 27150248], [38808952, 20860636], [40782147, 71861554], [77911493, 40870902], [88970534, 37127293], [1058785, 36379798], [23773454, 35405030], [52167652, 53293791], [61553573, 41834029], [55828488, 5482067], [86071819, 79823375], [27551039, 3262679], [18951773, 67530833], [85432728, 53105923], [75424162, 50029037], [97865094, 73381847], [52642556, 29815644], [84102150, 13772409], [22546196, 64056865], [55722296, 14086565], [60551239, 50236992], [1744425, 55739455], [39165087, 24871818], [76505137, 18630472], [95132970, 28716467], [15290479, 56446079], [45678247, 68058770], [57352010, 93471435], [5542447, 55275292], [25731876, 61479264], [27345690, 58179392], [43447507, 1352433], [46727674, 14073386], [10817335, 39748293], [91882638, 68586048], [18171627, 57392997], [50275056, 88940353], [70267106, 91629622], [27429690, 91049652], [31030322, 104573], [56976059, 92255214], [5554457, 17468060], [57184737, 85484043], [5616744, 96483156], [59774384, 79682196], [49934103, 89479019], [73416882, 13561944], [77173653, 48323049], [37178364, 74834230], [71452646, 94659868], [5227843, 15786517], [83404344, 13820503], [27692645, 8267132], [62730111, 94820909], [81265251, 49294671], [28036212, 30389964], [87856391, 5447615], [80729717, 13245802], [24443541, 23628364], [78334537, 26357561], [59987688, 78355948], [16046771, 70052606], [3892159, 83751168], [7145434, 33438559], [26719820, 69101079], [70494250, 40509126], [16970122, 65640619], [23314174, 77862653], [52099063, 31190765], [60051495, 34729341], [5935488, 22518096], [37488203, 60726304], [25456014, 61870374], [91108166, 49300671], [88855512, 65697256], [44731380, 81740222], [3514457, 59969834], [1201853, 61570846], [48506417, 64853781], [75720878, 36690307], [8720916, 97104049], [14440278, 69260202], [90670210, 95058555], [68560464, 77418324], [58869176, 97962460], [96863655, 27148955], [7401023, 24964633], [97081907, 80239149], [33502583, 20915099], [84767968, 99185776], [67372412, 78282257], [79855439, 50394424], [74539441, 70781654], [98310791, 30740193], [9300180, 26630366], [29202398, 48775295], [40462309, 28276440], [31643560, 25968264], [44907941, 27562932], [5583789, 44930210], [88708837, 65794446], [47483029, 15414166], [77733727, 26278122], [25997384, 89606683], [91831101, 24446781], [44610576, 53264731], [46178455, 73073861], [63056461, 98967259], [71479967, 25409950], [50848263, 67376802], [50467443, 34471789], [65807866, 8276608], [72244160, 77510933], [86293406, 99028221], [43647355, 95452941], [5386526, 50373781], [8543283, 15851794], [92655537, 42262852], [40742412, 91798648], [1319636, 1019251], [26125940, 78786526], [80760196, 33102000], [25898678, 68697856], [53438539, 69052450], [88714918, 63335271], [65920808, 48726642], [58009485, 66909522], [60608432, 19308608], [74513371, 65418699], [29719165, 62362833], [84635282, 91550248], [66126409, 39549768], [60535691, 86746400], [37709733, 31857127], [24694047, 37202961], [73454945, 89824319], [53149253, 66989655], [72540117, 27758796], [42393232, 21822431], [44791281, 13364612], [10136666, 49855045], [64996025, 49975257], [31548404, 82753481], [20333912, 17390968], [7402273, 99653003], [81210918, 70775107], [11175373, 75999598], [23220074, 38101692], [13160650, 41238709], [90560753, 80804732], [41132882, 32664076], [24935738, 24149058], [58320332, 69583885], [57589554, 31111009], [48255753, 21547083], [95182679, 83970013], [98171776, 57922742], [45448455, 88483379], [59239606, 42599012], [921622, 68878121], [91532774, 91880907], [65691378, 38207223], [79672087, 29684581], [88068356, 85984646], [12539320, 95985520], [55047019, 857400], [31261272, 13524577], [40364996, 73054487], [56724176, 80118590], [2861682, 39564676], [26147782, 51343627], [67112015, 77197667], [27424988, 21902712], [6949814, 40138585], [77868306, 51275385], [29055554, 30448244], [55021580, 69254947], [28567965, 79198297], [81296023, 92644484], [23551631, 7735634], [16743030, 20564721], [32087180, 63242606], [99542137, 44788204], [76974336, 27815909], [98861553, 76650369], [14053929, 42965258], [83046289, 80822142], [56131220, 65031172], [45122323, 26007150], [29723082, 29429708], [24897429, 36636193], [85325814, 88581179], [54975352, 35284009], [9108695, 38655901], [59232037, 25609304], [28242442, 59315942], [25614633, 66373405], [50386288, 10475729], [31582736, 33418771], [74098842, 23376984], [84798802, 2356623], [91550497, 13713631], [11854459, 69474386], [28338820, 99576556], [35609655, 24691164], [57113835, 82763363], [90285349, 35468587], [85355901, 88156821], [89404741, 21333257], [8238571, 75321696], [19351177, 22261937], [20998081, 93143637], [22721536, 60257100], [66131962, 92890030], [49317024, 25538583], [68535097, 16948592], [80937448, 31648528], [70745281, 81510415], [80899299, 54019804], [77491796, 93015329], [39570738, 99102753], [18768986, 80941510], [67714999, 32535126], [88731057, 60157295], [91697763, 26367815], [72565108, 47083993], [31544958, 35861701], [59346379, 17987965], [54761275, 5273775], [79613618, 8076730], [40755172, 54305281], [51107627, 11244702], [34304471, 29453904], [42420183, 12471000], [48087068, 57443500], [48965350, 7154479], [14296382, 94910988], [1181205, 155048], [53055497, 94491730], [77866618, 59871248], [71497195, 38710099], [22066745, 36353157], [24602829, 76909036], [93533641, 19756709], [96237876, 70027247], [69370670, 71706333], [41514082, 342128], [55421793, 9425351], [83263233, 27743032], [75271952, 98131758], [53035046, 5652073], [74170972, 96981625], [48974164, 95626193], [49624403, 68232580], [19785250, 8706623], [64045037, 63833828], [14850443, 67585257], [74498081, 27965828], [30044077, 92326706], [6841731, 90524739], [36830152, 56530300], [14425749, 45225835], [70425972, 89024757], [60782769, 37563741], [38875233, 83169558], [12657076, 25854216], [83827447, 11427278], [12658518, 39470339], [48286997, 3970015], [43146408, 91058267], [18944397, 32911151], [65351413, 67770555], [24256699, 42920186], [52567610, 2367084], [98492696, 49263288], [95237005, 27621300], [75585828, 13815914], [66889329, 35234460], [3874127, 58019228], [25806124, 48333879], [12912267, 85319172], [35089280, 71186220], [85490789, 49102157], [58792112, 29493889], [55369956, 12644717], [61127434, 19396810], [1353206, 54434984], [81993471, 2039757], [4523840, 62011051], [71590567, 19069734], [37746984, 80905246], [53958366, 16477780], [79228225, 37689692], [16886299, 76809964], [35725911, 78678621], [78765719, 2555387], [24766163, 46753895], [49422833, 90321042], [77179620, 250709], [91627473, 60998444], [58290324, 69797327], [59125080, 38440661], [40870791, 21107103], [11519176, 8569188], [16007291, 10646604], [65075309, 8454064], [90380972, 91057765], [90786249, 3870481], [20539746, 70310335], [58778233, 87470277], [31962848, 64645349], [84727016, 13983812], [34916674, 81697578], [52288625, 2251732], [93101038, 30197017], [52833877, 72283114], [48673068, 2912312], [60779841, 12584625], [8993494, 10348510], [9933404, 4049336], [78470097, 97185564], [51954557, 67638591], [12064438, 43535816], [24435840, 9186191], [81906964, 12867762], [84066091, 30291848], [93682851, 50806266], [14890633, 5479488], [15930114, 15847957], [62439556, 52015141], [55357725, 88072588], [39875555, 99453248], [97825959, 76331404], [41312211, 70719672], [641259, 98140853], [78791155, 72021559], [31284985, 47579222], [31478920, 79556770], [64211177, 99896893], [62152620, 47754870], [26691971, 64669801], [7524725, 42126392], [11651498, 11671231], [26228459, 42719918], [16545565, 11796529], [38494339, 78226345], [38492697, 8727391], [94443362, 19753462], [89945270, 27244202], [6883224, 43047811], [68175217, 38470550], [47807882, 24463930], [99821008, 81492509], [77846275, 88227258], [4737334, 43464597], [14154287, 11333862], [68366439, 89785968], [69082439, 78896245], [71912428, 38669946], [54203192, 34363852], [84095963, 59109521], [70577916, 16074593], [10163131, 44644959], [5072162, 51580966], [55311464, 2963896], [48455697, 69416918], [66844847, 42588684], [89386658, 2501018], [80438157, 28589638], [7880281, 60172361], [98108381, 77853169], [20311021, 9495392], [15206458, 39814346], [12332877, 3776411], [68288371, 87584747], [21952106, 43934228], [62087220, 86402577], [30887982, 34006860], [37240602, 37785779], [6178094, 62594391], [29858371, 79345348], [27383150, 56168916], [99298147, 24869800], [58151884, 65181936], [49437291, 80090060], [67438208, 71328273], [10013052, 95833337], [88889680, 55658001], [94535869, 45894453], [29597284, 26561671], [67048424, 88244025], [54272538, 27709276], [48101399, 59469310], [42000186, 67079325], [20284977, 16313258], [88339560, 30812730], [79641525, 81843025], [85139741, 75797545], [84370576, 28422226], [67800345, 69618313], [91178221, 25011954], [41716413, 8072817], [36619882, 49832236], [16073797, 94331458], [96977630, 18197117], [34351341, 68303987], [24675472, 57182881], [36420019, 46925378], [6749026, 1156673], [70864990, 12672272], [23690222, 99592002], [11639716, 92493257], [27698130, 68484576], [94649363, 17985648], [49493923, 3830917], [27851179, 22858263], [5407204, 35623764], [65644151, 81426233], [27261234, 83813810], [3891396, 38619151], [87288960, 20151416], [88281239, 21167819], [38713493, 76502114], [87009951, 92602900], [91018780, 64140529], [6284519, 68062695], [11454496, 70662221], [36443422, 59109667], [10065282, 48891563], [86092372, 81479079], [58590084, 56694760], [65997595, 71771202], [77575497, 49519611], [83982910, 25208195], [34629303, 30530785], [30628500, 11122783], [72290111, 76005763], [55191951, 8548529], [53467300, 98475202], [5201418, 83990778], [78974081, 47873920], [52831052, 66482813], [54128941, 28102886], [11064817, 3195961], [53654068, 23120195], [30084022, 98984637], [33518272, 90761140], [65950306, 9532182], [40770258, 45151048], [57860481, 98465426], [50568621, 45264486], [37788044, 98920982], [19847881, 98430432], [55962495, 53853296], [76557070, 92078920], [20100242, 53195663], [29065988, 83903399], [60727062, 84231281], [16158605, 99301638], [75329624, 73326025], [82388558, 20809072], [40420273, 24754431], [9577426, 25184192], [70406557, 86019762], [21825743, 14055021], [42146170, 12826307], [18151389, 27737975], [7817976, 73696493], [98288586, 44798331], [52291363, 11784232], [79783701, 92436521], [57445299, 41444383], [85816630, 82359603], [51631932, 89841224], [64499005, 21668208], [73926683, 51912328], [59781052, 91044218], [35353208, 46171339], [38454201, 1799980], [53728608, 80592054], [72407158, 93482700], [24698274, 80879256], [72710874, 21911890], [9564590, 68001267], [47908198, 60707749], [11410071, 61285408], [68989859, 12383732], [67034381, 84856635], [1237510, 11044262], [80753794, 82254825], [22973881, 72675875], [51628474, 39357749], [4439723, 54260642], [85982663, 12422981], [38307010, 68552710], [11685900, 65949595], [88258070, 69927934], [55498713, 57752333], [16567254, 80987020], [82154710, 636050], [66368063, 8495444], [668812, 83192341], [63798485, 25073455], [36269008, 96103452], [85521261, 67698257], [98430586, 84850688], [99352070, 9956117], [56453569, 81512971], [89766533, 1934547], [68243495, 11336251], [53802828, 97447059], [37559198, 32245591], [45141617, 51270897], [86566094, 26335400], [20128601, 9082936], [14183840, 59718922], [35223563, 76310136], [40970723, 35868596], [11888295, 10916825], [8716613, 63071975], [55660784, 36487580], [73142186, 62583557], [66938032, 51334092], [36780034, 67089087], [405534, 34189983], [49531992, 4093571], [93332121, 44083538], [94049489, 10698291], [55690187, 62833323], [10730222, 14052863], [72923710, 5819], [7204576, 57904982], [25727223, 23094247], [42380753, 87393818], [39682993, 14717558], [24490956, 2711020], [62971978, 78260844], [84058705, 75325262], [59593886, 47037277], [2814475, 34460624], [50269459, 88985492], [87359525, 47941629], [23347033, 31775292], [37733055, 94645003], [42654081, 33984383], [34487751, 4131074], [72260465, 92344598], [77660806, 63135071], [70716013, 24212009], [13716809, 37773022], [23867424, 72803130], [55074270, 55126630], [4015589, 82607341], [10851980, 59262376], [52624078, 68874480], [47813815, 88164985], [71033578, 398541], [44086813, 51759745], [77187453, 76826296], [95657970, 3188706], [88772888, 4156616], [28515542, 1982429], [65631363, 52714695], [9144964, 63817438], [58574494, 61337085], [85611811, 59167919], [10762455, 65217191], [16453770, 72418064], [5482304, 55133372], [57501920, 41039363], [19708290, 92774897], [14910068, 91413548], [91744669, 67661851], [38990131, 14507665], [33922484, 97669834], [58266127, 10799380], [15770432, 94948345], [47546033, 23249858], [64927890, 96819727], [66126633, 62145788], [56376610, 5718833], [38355878, 27565371], [38275315, 31926894], [53982732, 91468488], [18782892, 97754201], [13162598, 72293983], [84787703, 51192374], [78715089, 74493157], [3611302, 31042090], [38202515, 77274518], [36131797, 29227374], [66319176, 8838982], [168595, 87577366], [37224503, 48100592], [70221838, 67427437], [1773028, 90043888], [22428569, 29939926], [84906, 69365353], [39983327, 22719724], [61266604, 94848200], [24742790, 55030207], [31205877, 71850475], [57717204, 22868043], [44254126, 83490903], [81855862, 45754945], [22479297, 896169], [75001978, 67630784], [10085987, 99814511], [10040, 76303262], [1745363, 70523179], [91037886, 28615300], [95353517, 96560042], [83085753, 52215311], [7872254, 99634726], [87617085, 97655224], [72598855, 40045902], [70746919, 5716091], [75013146, 36051064], [73952468, 39981700], [91742864, 86814335], [29054746, 48789795], [98535629, 90586143], [59657848, 58807681], [23487259, 40747416], [236845, 97998817], [2874586, 71332842], [82174563, 99461356], [51569302, 55653410], [62916765, 28895839], [73177123, 32034179], [94137544, 62479422], [56354763, 82340100], [88840316, 84626073], [98942081, 22195853], [63399136, 33854228], [65508838, 94108171], [56173986, 74496261], [54596923, 47591957], [11640094, 2006837], [62039756, 44606112], [42320702, 13380600], [40865585, 92037003], [12608553, 30237394], [11778051, 31381802], [51641062, 24266466], [44716708, 2256086], [75496285, 79446195], [82940416, 63989939], [968911, 60933376], [59464383, 63619149], [58741332, 84764762], [61124064, 76569114], [93338439, 85580146], [31406774, 76580227], [77745500, 41752404], [156171, 17217226], [94162942, 35893577], [96219966, 49670537], [11765877, 98370874], [37788840, 3830382], [62364820, 11539408], [81420129, 34906], [3721349, 57336818], [77442180, 12058626], [90403939, 26634294], [87142442, 88932732], [84721347, 40583142], [79541162, 63697827], [52831655, 67585493], [9267784, 1201115], [92996180, 92284395], [37499018, 78722022], [15408121, 58883256], [50391228, 357330], [8193871, 39599652], [5392611, 15485438], [62972863, 6629946], [9423152, 60232176], [94342517, 25257089], [5985195, 78913141], [92754984, 37462167], [41920653, 45005052], [3302497, 52134963], [42702249, 57033678], [7102189, 5325184], [44483360, 58799840], [62427722, 76277570], [80952926, 82369155], [47620911, 84430017], [9837191, 62298301], [95934077, 52474928], [70582401, 43487747], [28672624, 9462267], [75505152, 92962184], [49114237, 30126769], [67816666, 45820635], [99087010, 99411226], [82963018, 15491193], [5330273, 43491298], [60354906, 37373398], [9386340, 16147844], [13246962, 58719742], [25764362, 47023027], [57353812, 84854061], [96727047, 74250341], [76292643, 35065293], [77871811, 34899799], [19232806, 43159494], [11816376, 41381790], [48473027, 22114229], [68095020, 62118558], [98156750, 23417666], [37556024, 17228380], [83508483, 65507370], [60966362, 14092089], [17221767, 97565670], [89977389, 99688874], [63040868, 31760358], [2316007, 66892267], [93401729, 36220109], [85770414, 82959953], [4839799, 42266861], [98008037, 97161694], [26443705, 72228957], [92981073, 45591804], [87669452, 46874948], [6713567, 84566487], [20962882, 10999524], [95328232, 28101258], [55658155, 52257017], [78420968, 38952128], [96382750, 91554832], [82863726, 97284895], [44227631, 46839943], [63802570, 37619434], [26569567, 94349496], [60653994, 85718975], [22025326, 59299777], [94496011, 77987023], [4055012, 14891422], [30697233, 53835301], [39270710, 45598093], [71919045, 49895960], [5285430, 89415748], [68246978, 67393002], [56301942, 16278753], [39564049, 39285276], [90974111, 2408306], [12559013, 15257856], [3559341, 36845972], [89693915, 17778787], [83271880, 15532363], [43802416, 40373120], [90184747, 5020876], [26929253, 68597946], [2678363, 23698172], [10634743, 21788634], [30380982, 69388759], [52516099, 4965058], [48477517, 68453544], [11795642, 98105855], [5983798, 74491742], [62615630, 63376467], [81380974, 115734], [43066230, 31968407], [94384848, 63433885], [34325971, 24341232], [45446970, 76984211], [37579584, 35377028], [7444150, 60076116], [72790446, 28841543], [40775599, 84187204], [27833947, 76810310], [90043621, 16616481], [99962581, 71991652], [80467040, 11088788], [81875586, 5268210], [64138773, 79371491], [62620023, 24907939], [47547134, 19241937], [28206486, 19447409], [30846038, 6684854], [30100973, 72337251], [36303852, 70853332], [20690491, 77027739], [53911438, 37704055], [71753262, 38777492], [36564192, 35493995], [77660744, 11467784], [97050164, 23657233], [87416839, 91812605], [45562110, 97417736], [5576717, 40420813], [51413588, 97947165], [40771562, 86581071], [51532591, 868593], [5707658, 77846329], [77616113, 26549960], [59954521, 44409895], [77360000, 66124791], [22348034, 50593737], [21590971, 70958542], [95605871, 80866266], [4075713, 64653311], [70199246, 48403546], [17136265, 859491], [61047280, 89959161], [1403571, 91259059], [47393722, 6205986], [33107227, 23167100], [77221364, 4964048], [11633090, 55266007], [7529085, 5044956], [96683445, 23297290], [18067032, 11908114], [48975682, 92774403], [67587571, 36520164], [73436490, 1703362], [37635414, 69202794], [5463837, 40123640], [29953396, 16073371], [53792112, 50559231], [3875650, 44707618], [52863329, 85308263], [7136029, 47103263], [29499684, 91264396], [40674451, 62357867], [73657877, 73167972], [81389480, 36942193], [28233466, 2559297], [95130918, 70713838], [81776305, 99029892], [57692587, 73637268], [57764599, 8971188], [33679650, 15686398], [62038328, 54624613], [52298504, 17386830], [41956282, 66611194], [30045781, 8048347], [11430138, 13301783], [47897975, 60929095], [3566958, 57647164], [24560504, 39988280], [33060108, 25603231], [78622526, 56246138], [19278574, 55551659], [57640245, 21901108], [40958980, 3836592], [79183983, 64985088], [15955167, 47460904], [70908260, 88872204], [63022906, 15126181], [87760727, 30570782], [61848837, 77629182], [74569211, 14207985], [58453650, 30434726], [15199215, 26046869], [63791449, 28751458], [60641355, 48973916], [13818948, 22609493], [70220068, 13620012], [10249087, 7210598], [12432352, 22736684], [75533154, 87476434], [82119655, 7449293], [40832163, 18019069], [58371092, 79096565], [34803117, 34081346], [29114210, 7132986], [59679141, 90888419], [23191029, 91423699], [16639342, 80728071], [32000340, 78443094], [66483798, 39186801], [99489530, 77994315], [76044840, 42798560], [72555523, 86129936], [77185092, 87737669], [47466348, 83133417], [82185604, 49614506], [14615979, 62813385], [1069901, 74217177], [86055807, 32670936], [99013813, 97488373], [91836634, 36201668], [68188834, 65338072], [28973057, 52839822], [40899082, 8595717], [83953913, 31160370], [34377733, 16332392], [77571757, 62279920], [13429651, 13868750], [81024671, 98913581], [21371893, 57492088], [94943917, 9105027], [60040409, 63602613], [5550547, 6873153], [77555495, 48493833], [34956613, 68096566], [95164516, 29227142], [96049384, 75197843], [83741301, 11223416], [79582174, 57581898], [189829, 23072347], [22935943, 21360970], [48306469, 73288490], [98089625, 97730170], [88525488, 21713779], [36659832, 60328752], [62670961, 69742880], [17186618, 7217260], [3271111, 56372855], [77224360, 72922616], [92377118, 68648047], [78974082, 77952142], [89117467, 9928857], [2797236, 70172848], [60829331, 80640707], [75928579, 17506616], [42459439, 14964501], [28096870, 66505190], [56962428, 8644793], [88651021, 23940526], [83381952, 9088926], [11510195, 48301879], [44705737, 90421455], [82274533, 40948637], [3773647, 59459232], [30887191, 6840791], [11520557, 71826976], [69258568, 11564839], [27943552, 85591238], [114837, 41422368], [32073797, 43560437], [73066229, 81490793], [51337789, 31131352], [45259474, 64579978], [5321600, 66680994], [18234038, 68281949], [55081338, 43727151], [64765262, 42139362], [3968291, 10553609], [39655797, 31612776], [69582930, 93693860], [10287337, 26367706], [57558948, 91633006], [73990958, 62898626], [28500543, 72299705], [47219489, 74495151], [11777666, 95984254], [27557849, 19852353], [20973670, 1418979], [7674255, 3352619], [37043860, 72410541], [71816292, 84504640], [71258347, 25978095], [63403426, 58014429], [48676126, 91306241], [47791680, 76923373], [65225726, 71309888], [11058995, 35656721], [79000135, 91738022], [46199000, 9265206], [13383732, 64340459], [61772897, 16901372], [55955602, 96146676], [4120637, 17661491], [1843992, 23339397], [54483872, 37900908], [45422922, 2454999], [25059532, 30147027], [115442, 81930016], [32589222, 45240503], [58264852, 31081029], [35445251, 84384272], [28719261, 2952405], [99253145, 27625591], [105793, 19381239], [99482236, 8316046], [29267292, 43578902], [22554236, 36999447], [21972783, 32940423], [56998796, 38361810], [9899067, 31319221], [74011631, 22705209], [57190539, 81896176], [58159867, 65261224], [77472441, 32548078], [47204745, 23898432], [67684741, 57273300], [47686313, 40004149], [58077304, 72402546], [74450521, 56844681], [21462764, 23644372], [28073926, 22850154], [80155740, 12382165], [8465457, 77952578], [71569245, 26058353], [64834877, 34536668], [74914995, 83141962], [21496492, 55056313], [61213454, 64734188], [1589168, 60717822], [40085596, 33298866], [19187639, 23199682], [79302910, 25057869], [82209052, 96086112], [65531159, 20032596], [91061020, 27104135], [82721275, 23965446], [51458460, 49519710], [16266421, 79971169], [18419707, 82619644], [61457629, 94035974], [66991424, 21501126], [99293312, 22710930], [8649699, 66542835], [98290922, 44631844], [10278818, 65178121], [15464816, 28436749], [63249053, 75073702], [4656175, 62715076], [78757804, 56419843], [31126900, 14596479], [69035375, 57298142], [41528955, 1287620], [32353546, 99811309], [84129747, 47965727], [86096397, 87266845], [11728468, 62213279], [6809525, 80252095], [62476038, 50866951], [33006280, 36587217], [75867005, 29791633], [19873699, 93032970], [74456920, 94707576], [28848816, 75319330], [4793893, 77767225], [1748412, 24716367], [9573224, 78002276], [95802622, 45762344], [20911302, 3006022], [48396581, 30692308], [5568841, 27455502], [65213272, 98464742], [49910765, 10026989], [78582268, 54185501], [4597209, 78972712], [45643043, 79197580], [62743885, 51817021], [39379135, 32494843], [48773569, 58731994], [51555780, 56052970], [16521979, 82776286], [5729385, 38555054], [40294521, 40194823], [88582388, 15312822], [23968790, 91395605], [55790727, 42765120], [20594926, 26581198], [23997277, 86922655], [68904971, 9640903], [44868409, 73000944], [47462084, 93564332], [1105286, 1215495], [32573482, 29153978], [29381480, 83968537], [78975359, 55725808], [6983701, 56228570], [12358142, 70289572], [19886523, 68153396], [18294739, 54030805], [88343943, 80755901], [77906593, 42988911], [53937398, 11603471], [36847153, 88603506], [64269065, 56602347], [92826971, 93050402], [82271627, 35021563], [80993029, 96695268], [97175230, 2960973], [83541152, 38082370], [49034109, 42287160], [51814983, 12892838], [37536535, 62029706], [73311586, 27925837], [15953879, 89318411], [69204346, 54378301], [4468303, 32962820], [64037620, 20163184], [89324790, 43981668], [99949298, 79719142], [42060198, 19772178], [24478045, 62770188], [71328627, 67184689], [92047593, 98512476], [8374045, 80258786], [75810953, 68226631], [25033676, 31660833], [85350871, 8872942], [96498086, 96048406], [88842136, 7142907], [38596862, 54472351], [82539241, 61577518], [55378958, 55265801], [4669394, 26585499], [8756108, 75040141], [51218351, 99328454], [55312446, 53827718], [40122091, 93175423], [90912437, 2655540], [24667915, 93642004], [22165504, 2727860], [692645, 13386591], [51896589, 77043761], [60368467, 10924204], [36928349, 31185254], [85279752, 98593741], [24376099, 5055347], [71149485, 16850619], [53702814, 16621146], [27216119, 94787608], [43496570, 66042204], [6535089, 95366305], [86013870, 90310908], [51639679, 29362952], [8863223, 66235348], [2200904, 89503013], [51010387, 95588539], [89381026, 48237884], [63871360, 68049992], [82450249, 98395900], [43384508, 43549400], [46692232, 17604275], [49807480, 84785736], [58447691, 79264031], [62664260, 4069660], [54341537, 38879000], [65212809, 18601155], [76588514, 87074233], [98124883, 90559684], [20384045, 8137019], [75752015, 33772641], [10732783, 29027658], [7584914, 97361045], [94475395, 29593777], [57513808, 44618237], [44137604, 77748462], [63159464, 3111438], [18017667, 59436623], [47478186, 55794519], [96756277, 33389663], [37370991, 13161743], [22962278, 94260732], [69175187, 55627773], [73399088, 67080874], [77550550, 12401440], [74924638, 21603253], [71756184, 9314218], [29572181, 11642743], [63661901, 91793736], [88109156, 98478603], [34247009, 68365822], [17186264, 99953417], [73524967, 45842631], [57013183, 79208998], [70612144, 54714699], [69662721, 99455684], [40783649, 4077585], [7743015, 99502137], [15693512, 15570190], [93401862, 36891075], [76164119, 23529299], [88369442, 39199963], [37007701, 20977650], [76326040, 87425275], [61608075, 28764562], [27186332, 97551822], [49873516, 11037069], [93275374, 96094652], [74491138, 62939772], [17559904, 34564732], [10548301, 58235366], [58082922, 14398385], [62976195, 88755952], [73392117, 86124253], [40069967, 95321433], [97861353, 74400183], [51962228, 1228118], [32700596, 19435846], [43058225, 57087229], [54441306, 25261635], [69663657, 54676119], [25643914, 11334727], [60442977, 33037222], [34830717, 78982566], [31941551, 38497238], [8956408, 56970834], [88882258, 13736688], [19272802, 41180559], [75923861, 92789145], [75446710, 39584425], [33992755, 16725143], [91708759, 87158260], [84601393, 41002206], [40901867, 12687665], [31360270, 28302388], [94187515, 37055483], [9015150, 72927354], [87125663, 2680417], [81398979, 84372858], [78994068, 46534112], [836279, 28434301], [53293204, 17554897], [41032768, 99107883], [22725028, 43470050], [92870338, 79109176], [26929411, 46919850], [44591234, 61809359], [42013984, 14604403], [94839589, 26956762], [4017161, 61395573], [98350128, 62335736], [56648566, 15672179], [59151874, 54108019], [8434486, 49901202], [19473016, 52086130], [26408451, 85407704], [26661507, 69018165], [61626552, 6539799], [22020647, 68890250], [22187905, 60787175], [4234282, 15205781], [91599204, 90876554], [95005232, 47162857], [8420051, 75114681], [7279398, 8737585], [18062992, 43573845], [94357617, 97851427], [36578129, 63832843], [95077385, 87294678], [44116962, 57127134], [25102774, 28235990], [95270739, 51127447], [60597949, 93449616], [91095555, 51284709], [29736017, 62424797], [29299904, 46051173], [85877087, 55572127], [53362801, 23149210], [39423267, 58441055], [57678476, 27181455], [92756760, 70986579], [9348138, 63259581], [92799519, 83897833], [86779279, 43791152], [6101993, 7195337], [72092549, 3894730], [8417058, 93435357], [13902922, 23645163], [59522545, 36994191], [42513380, 13618637], [99585326, 10493817], [46366841, 15160551], [22808267, 21451743], [81541056, 44994437], [79968775, 10555654], [2275445, 98727291], [86805752, 57001828], [54027736, 52791515], [80582136, 16972841], [92211534, 19303753], [9844320, 86667692], [41799598, 93579120], [99150527, 45993505], [23752088, 93247497], [99260965, 90441832], [78031117, 31426032], [90489556, 85489901], [91301415, 55427353], [55698755, 8702025], [23854916, 54330846], [55525368, 31349486], [58989209, 77775468], [33353225, 64512361], [48173155, 6463742], [84589286, 62188061], [54098199, 71756126], [86324794, 17828480], [648986, 17882052], [2283021, 7498495], [94670494, 13488819], [52517531, 92167782], [11574026, 64925090], [73898443, 25552094], [22730645, 69773499], [54532438, 86645352], [98587970, 60701005], [75030318, 72672177], [5713501, 55317468], [60800407, 56051261], [52171538, 96179797], [49325648, 40993056], [22952326, 58256838], [33365893, 68763997], [58610399, 51006104], [96968252, 95995860], [50004616, 70361112], [19976990, 43576432], [80948490, 85921118], [46832560, 84425631], [84529977, 51159894], [65320491, 3069154], [30402245, 43331019], [96548884, 16126905], [68720489, 51792829], [11107488, 96464281], [24839971, 78689177], [1157249, 72774970], [9267403, 32410812], [95780480, 5598517], [73607918, 76850817], [14980354, 70808445], [79076470, 91543143], [48450866, 46281309], [11975008, 25779381], [59873434, 676607], [91426336, 72693793], [63538609, 20697479], [87213999, 31064182], [11940551, 3969284], [91715872, 51030795], [59618373, 33589766], [22739449, 30113175], [14319308, 43563664], [71608570, 45535864], [21523985, 71672962], [25561469, 47588391], [1982702, 96846527], [2848876, 86570282], [98641659, 83875733], [29922183, 70079989], [57639089, 62780934], [61032114, 57247913], [7739042, 13657252], [30653741, 32352726], [11216171, 55127139], [94176713, 22346212], [59092524, 12320], [14389546, 49343701], [13298179, 31355903], [12142221, 84309661], [82529882, 15127862], [843521, 51205956], [41222022, 11081828], [84708179, 19913463], [51012115, 65121164], [42571453, 53792122], [46709889, 93137412], [46362760, 37510503], [95716558, 22008719], [86814318, 92669655], [16700657, 54327393], [96260490, 71845511], [10881308, 18945018], [21405747, 43085061], [24328360, 94199092], [54321198, 76786032], [40828471, 78791277], [19923181, 13887000], [41381302, 40891097], [29382042, 34830850], [37545388, 44325172], [68184312, 73351259], [70751657, 99634662], [19127171, 37447709], [64707787, 51915695], [33902593, 34418315], [86794062, 32689202], [43438169, 42490839], [65941223, 74187198], [31459445, 85087182], [51591136, 54659453], [33176648, 22017970], [99515728, 2633782], [47447477, 16521359], [58199707, 23123731], [19154359, 60534251], [9267794, 69621886], [63356220, 85796688], [44616662, 3896326], [14979426, 88914450], [16318785, 33584260], [8111390, 8074611], [7233996, 49335549], [35141948, 26038696], [5069091, 78735761], [54095380, 64883477], [38867257, 71420396], [72541210, 78593643], [8279862, 69807211], [26953764, 76827902], [65668335, 95986857], [53192921, 69232209], [69720685, 29848532], [83442917, 71674778], [76027657, 18925539], [7145246, 12737682], [74693405, 27576108], [76660449, 92092255], [95262523, 73252292], [60514648, 42406703], [77825794, 47242948], [89248919, 91812968], [66776081, 43988258], [53238889, 87041971], [44803624, 14433359], [87393928, 69839037], [18351940, 44894981], [60839607, 31043202], [35474208, 7349757], [85271868, 69491871], [74205519, 50796100], [95592076, 10228074], [91857625, 9048657], [9414025, 78119764], [55646626, 42014249], [55399264, 65803118], [72626116, 75036959], [7299108, 88253392], [26256248, 66186410], [20829385, 68912608], [73114289, 71732932], [4430999, 19790009], [3883115, 4744166], [25302034, 86789422], [12969183, 31250845], [3652483, 81527611], [34025677, 4450841], [9348666, 65833928], [6186480, 72328966], [61979721, 68021493], [11722099, 46766572], [36043048, 97617115], [67254834, 86068927], [16028318, 78992821], [47574408, 22588178], [12937618, 9781225], [48318534, 23456541], [52283178, 62480507], [4978982, 49911481], [60592734, 88624827], [99245465, 59103154], [84906911, 53029356], [23526896, 25542106], [47912177, 56261786], [22972103, 7618139], [18380203, 85625219], [59409988, 56742051], [77024086, 1254535], [87419593, 36965628], [18088681, 37565550], [83178156, 40209169], [99502594, 86484215], [8098166, 93009400], [42210293, 63654136], [59529233, 98185432], [62429486, 49402525], [43680165, 70061987], [32796259, 93068918], [94844108, 55469990], [22046915, 29951211], [91735721, 75425498], [25105480, 71005820], [46735592, 52111201], [34322548, 66510085], [11187188, 84411172], [4662487, 64080339], [54810698, 41675866], [4045873, 46087082], [53246582, 64287948], [90236680, 5321181], [61168811, 73018183], [77667882, 55432281], [9387647, 79102070], [24637946, 32210181], [82850510, 74966913], [1701927, 75101777], [44334509, 75094624], [68112621, 94818551], [13164494, 65949565], [47242643, 75243543], [83565151, 84292881], [43784024, 42280750], [79517065, 57895835], [57668605, 46946100], [62333615, 51604785], [57279280, 97042011], [86957096, 58735785], [78214712, 35119368], [29596329, 71618329], [97020186, 37344769], [74350970, 13811103], [76281432, 73822712], [39270202, 70221352], [1599694, 4102090], [27159390, 98686735], [54449715, 44561162], [28153504, 20713965], [80902975, 368226], [37012127, 20767239], [33604790, 66775131], [79869876, 80393193], [10454021, 44943622], [46939247, 12866884], [23833742, 94992341], [64657420, 32524918], [55131228, 19713391], [13517945, 47860819], [30500585, 73689432], [29347644, 62711819], [32690912, 71344172], [84020353, 20726646], [29839916, 10707011], [11337809, 32495725], [53376301, 6639310], [80793203, 6635], [57124977, 99645217], [77011331, 20769307], [68786519, 43869705], [483260, 77842223], [1312990, 43574200], [99724925, 85762755], [79494744, 67888382], [36828062, 34727310], [57560530, 66291568], [43272312, 65845676], [87711135, 61972757], [73912728, 88075109], [5464804, 86960108], [81324800, 46947637], [37628186, 24041633], [81429799, 40933469], [99711769, 60164298], [54715793, 46928480], [56304282, 15630382], [76577113, 85712775], [71723783, 78666946], [83827311, 71445784], [62836878, 95999714], [67552991, 79906084], [3489655, 56656250], [37397898, 60629754], [6548560, 75731006], [55323091, 47559856], [49361386, 65245100], [87118648, 3719238], [56609924, 13745916], [42510608, 20117990], [81362101, 94946153], [95130706, 73544445], [1342851, 41427183], [72475556, 95368978], [28081611, 56029069], [84199894, 63108185], [50107717, 90983169], [29413593, 84856141], [54986390, 40100953], [77875880, 31719071], [84778993, 75326785], [97228728, 67357011], [44834923, 655869], [42089844, 48754424], [39329165, 2406921], [10724087, 3834199], [3388834, 61699619], [83265711, 10729060], [13696376, 47797585], [49686880, 9103815], [68634217, 1926569], [94584789, 35679933], [74754292, 79425433], [24089591, 28534326], [34661745, 64004423], [96197237, 24367718], [60786982, 67015655], [11234085, 40885044], [71241443, 32619664], [93416980, 65873188], [39194430, 65208272], [15968168, 40321400], [13737941, 52714733], [67121023, 34439785], [10505567, 90380314], [6220530, 43342313], [32884611, 43066179], [61659314, 26052081], [40951785, 55611479], [33268747, 9114838], [44042647, 53564804], [44115484, 76187642], [39125629, 71436155], [62034670, 8823025], [60011788, 8912781], [54531361, 40735019], [32152762, 13324355], [15087262, 30405441], [48136889, 24536995], [22000877, 80353790], [1906649, 56929915], [50046624, 28556490], [31132205, 48199268], [40088852, 83263425], [52891503, 98215660], [4051020, 28719185], [79981244, 92751431], [30612720, 86131824], [6442405, 50367187], [2965832, 64674812], [58500335, 92626721], [92501753, 61332074], [40590805, 71430036], [93242478, 9864243], [89540522, 46927819], [69146028, 88545091], [18137706, 69111841], [10199158, 46516627], [62767755, 54619208], [41885805, 4572116], [16703963, 85056917], [69365051, 93120552], [81729301, 86576666], [22328643, 75172547], [85477190, 3873853], [5232710, 72782279], [99851555, 82330901], [39237289, 12710424], [49079870, 99645013], [70870312, 21334680], [80038036, 19959484], [17845302, 15947944], [45919393, 71206720], [29036155, 18658600], [992589, 42739982], [50483295, 18049291], [33388634, 86220761], [56684623, 33167987], [44676931, 97015122], [31589903, 64917348], [13322195, 29583196], [78493065, 96969953], [48935874, 11628358], [89277531, 48078750], [75922851, 95982609], [74615639, 47867953], [72700666, 45160750], [18656358, 46010082], [97488703, 34162715], [7108949, 64436019], [49701278, 58090090], [32689252, 6923390], [96034243, 46749658], [33226503, 42963000], [42460947, 1122801], [60886899, 59747329], [30965673, 12153728], [58645772, 77177069], [57788702, 47808472], [46791015, 71683411], [11359109, 2542323], [79790826, 77931020], [47619983, 12863438], [52191524, 68896758], [7271729, 40283286], [46868793, 1471129], [21147362, 20574332], [94254010, 73897053], [89512321, 51797713], [24683357, 43887185], [31093595, 51249731], [79684845, 50051191], [94654658, 18537399], [58841562, 12658428], [94193139, 98916184], [16229072, 82526713], [42587274, 71003760], [32352962, 41938935], [71265926, 33182701], [289401, 74141355], [24160297, 49149521], [94387629, 80819474], [86123049, 94893148], [5506313, 71384361], [2842636, 34145801], [19203323, 60576157], [66783859, 52236626], [9658867, 22302399], [22082601, 56702574], [76788108, 23857615], [89929609, 85717495], [41969235, 85936898], [85963026, 44991504], [51703556, 37621340], [95521769, 7699695], [567535, 81033842], [80612811, 16461238], [89837104, 29804302], [55423109, 1271094], [51296455, 6153381], [69334469, 17851873], [11924793, 42855400], [73901522, 18439121], [43662504, 92403500], [19677494, 52441710], [84712399, 46771485], [93286325, 1003523], [47499037, 89925066], [5351275, 58894876], [97655070, 25595581], [36507637, 91139120], [68011991, 6798886], [99520080, 94178879], [24449417, 29716197], [29917716, 74640031], [9639234, 9360477], [63826561, 91111648], [27265568, 86069094], [35065314, 15161891], [44954468, 94212631], [20391069, 41069774], [2325622, 35471731], [98552325, 78742094], [38186163, 50354043], [50086892, 23881753], [76529988, 10740101], [73685200, 12090319], [75593076, 79623701], [18234336, 28894541], [48127621, 4805828], [60922216, 48888245], [22002812, 39892769], [98058191, 56668554], [91687720, 93379303], [49113287, 75304693], [26466975, 72953565], [4580468, 55365857], [60801097, 68295319], [73340345, 93702766], [7025346, 8167078], [22246056, 53367049], [19343671, 77760004], [92784223, 93956844], [13987165, 70029844], [41987579, 79178616], [86928853, 89243238], [91266000, 26097246], [24832505, 66243270], [7785155, 88463385], [65939207, 16887673], [575038, 1395043], [9707420, 72974725], [88980851, 25733694], [10183041, 45920096], [74350581, 79595542], [33903406, 2066007], [66396076, 9508033], [84049280, 62313738], [44273006, 11156137], [54276208, 97231849], [88833958, 1069021], [78429845, 94032135], [28325267, 75029878], [88839774, 1154562], [39974448, 4698449], [48700090, 34800884], [49888554, 40015778], [82785195, 16914510], [12311123, 30247673], [34037941, 58194503], [56620572, 72263824], [55688716, 51653060], [79250695, 65479865], [57210207, 93132111], [65872303, 21276661], [24888836, 2278364], [61074888, 35701089], [30397272, 77499005], [59652745, 67687132], [46994030, 62918110], [22376455, 21869723], [12784644, 60402383], [63156577, 64559787], [84980324, 4332612], [75031181, 31016445], [97312457, 72982182], [34241300, 3820625], [37068395, 29906892], [45414486, 76025513], [53033981, 77729443], [27150672, 37191090], [36624080, 78757037], [3687768, 32002405], [93823877, 13711877], [44657983, 59573339], [21230862, 35359040], [34716569, 61182673], [58426920, 20397673], [2497774, 25173412], [51796525, 95385151], [38822333, 64671046], [44104160, 53050247], [85647698, 69532797], [36082737, 11080799], [68510851, 47516987], [94887447, 90558314], [35387474, 2164038], [79078111, 21161207], [27334414, 7037202], [16467345, 54888323], [30799691, 25851076], [15496697, 70257605], [30046190, 68794768], [32062882, 87312971], [24227707, 43764860], [16598269, 65322269], [70820084, 94832508], [12827075, 63160251], [17342549, 28975511], [4239445, 84181005], [92799822, 3277258], [48109185, 75334167], [33818118, 61835827], [59204402, 94526853], [32082089, 26460231], [37678876, 21754394], [73774658, 45263970], [89613134, 16515570], [65541184, 25538732], [89810099, 62763916], [3781057, 91716397], [36761184, 79370704], [34837989, 48551635], [53836569, 14637946], [78143143, 49664855], [58212916, 34192957], [21271634, 66898911], [71474249, 63680885], [32209675, 24396721], [90087074, 58295926], [53385474, 80214776], [6358576, 93542271], [22884750, 24690547], [97843744, 68783017], [17486436, 82086101], [96733543, 25519937], [88742106, 8290551], [51608487, 18720750], [7322021, 24079650], [14336768, 25902094], [57263661, 80687780], [28790691, 66143731], [20648093, 47074622], [50754676, 63088324], [56227310, 35460267], [17094432, 85850217], [74880379, 6486352], [16978100, 55974284], [5971682, 74588052], [38967057, 95089880], [18064578, 87112724], [27929176, 56924642], [74219109, 85303033], [12718583, 25842468], [67336399, 46985407], [85615791, 79839826], [23938157, 94891573], [48085969, 6967250], [12273874, 85908589], [73340468, 78080001], [58964754, 97238521], [9790435, 79213334], [40133949, 44198814], [89297123, 98063735], [76556369, 15823668], [4001406, 90126817], [5458212, 25508487], [2460340, 88989019], [86416586, 13006241], [49341765, 23406339], [53614525, 19624212], [87163404, 4341071], [34684788, 29787304], [62613114, 95588963], [66045572, 34150393], [36901970, 15872291], [85360041, 81258322], [8860245, 87727296], [88636177, 22706104], [30371080, 30878653], [89883725, 55636952], [38950984, 8173635], [67898694, 82180430], [77899422, 78053357], [67750564, 1181227], [63882838, 96679445], [23059086, 67462580], [64642550, 90008466], [79453325, 31724748], [42265573, 7787863], [37255026, 62842585], [47753017, 59152182], [94784845, 29872762], [33536851, 2252191], [87602880, 53839871], [76053545, 39387194], [67760289, 39637482], [18087763, 73652742], [43663003, 68157872], [20995500, 71815390], [34477512, 6947474], [32573499, 64896099], [36033605, 17594358], [25951415, 84743121], [15652256, 96615892], [65089280, 66252361], [14480058, 90380959], [15231832, 44787126], [4875672, 78315155], [9085395, 24446098], [30224870, 87536301], [75649654, 18539834], [91985936, 51485861], [60858498, 53050378], [88880069, 47000629], [26858767, 23023932], [56018725, 50879614], [82494217, 32339039], [39123564, 33950112], [3830212, 77888114], [65941835, 59870385], [9637125, 18968690], [43024615, 36048391], [79570415, 21351830], [46911473, 9756861], [86997989, 59280461], [34068384, 53694182], [49397986, 8222951], [7106622, 58878544], [29267109, 53714382], [76579, 67952309], [93254454, 77539981], [17675301, 75607126], [86852145, 18652909], [79034624, 54860034], [25999589, 41128894], [40657994, 6517897], [4523142, 78704683], [47798324, 83900743], [29600628, 92875650], [43416020, 28778834], [95097857, 37093370], [1516906, 19673720], [36899084, 17558385], [24716771, 52940696], [30067436, 99069112], [86264480, 48142738], [31814986, 35709474], [48270674, 90571486], [48408275, 57874390], [83107488, 15081987], [92267142, 51817486], [57661192, 26226626], [6210254, 20254084], [52171376, 81416123], [55821727, 38487667], [68700667, 79186575], [56823605, 85293053], [30553628, 12378304], [30144727, 38588157], [99289992, 62334681], [40918454, 73646665], [61111796, 38682523], [61522111, 74343312], [42822426, 65344786], [77128387, 42007727], [69754507, 17489543], [70758852, 18616177], [80879938, 36680208], [97631489, 87097775], [64936690, 43492058], [27170319, 24485489], [70742836, 66484180], [29260740, 41062251], [48131228, 93171640], [1402767, 61835715], [93721621, 40563426], [86821259, 12133400], [17911912, 18331258], [14986739, 27074883], [14815866, 25135959], [70970295, 44605376], [79964941, 44563489], [10263330, 98442818], [65636533, 96726350], [42578634, 95096989], [51474852, 26633486], [75665601, 9467606], [37207132, 44468713], [70761613, 71724152], [22642588, 64090514], [13017025, 58482485], [17611250, 40232129], [7595709, 20601219], [50911484, 76762956], [21795614, 45132400], [26590104, 5030585], [8476275, 69885700], [9473566, 64207037], [80848916, 21010105], [26780134, 80813971], [12507135, 67183940], [42708227, 47166722], [18979176, 41641119], [27661061, 29592083], [82285825, 75735468], [20262203, 24559647], [12377170, 93087479], [67267034, 75063523], [14041951, 88843291], [59635077, 63002465], [55765634, 73956322], [23771649, 47865201], [15317909, 91443658], [41665134, 25789183], [15002352, 36902603], [84506214, 9866065], [90363972, 57823359], [31974843, 64888201], [6766164, 2996364], [57965684, 10758043], [15708184, 45943425], [26121864, 54796170], [29716401, 17447903], [29968366, 72862139], [37630343, 15481200], [39465569, 92869442], [1037114, 95427159], [35535814, 91251755], [11342117, 23827266], [48079013, 19851603], [67169803, 16634267], [80779926, 38754207], [73851027, 89369727], [96600518, 41704803], [73935101, 25261292], [76040338, 62558848], [50128975, 88863415], [58312177, 39392378], [16445265, 55892004], [2491779, 26438282], [21904611, 29349263], [60230301, 90672720], [96420571, 5641349], [70607133, 70653782], [68037841, 15685062], [88491755, 19546147], [60771935, 84435343], [61111674, 46815812], [52209512, 80771606], [94912010, 64515336], [29150898, 51690893], [95922980, 10245303], [54089714, 65106237], [91665695, 43051200], [16321458, 34491152], [47328547, 91392925], [70456769, 11653545], [76139511, 44238527], [96352059, 36936008], [21355379, 10330350], [13692957, 22359619], [72205236, 83467528], [43621291, 63023231], [60811996, 85350682], [14085258, 41922289], [97944440, 59357211], [20258043, 81599166], [80449020, 31310556], [50797972, 43554054], [15794914, 78558530], [58743773, 87253735], [85560746, 82453300], [72113390, 97526657], [38003009, 29466289], [94182378, 39504919], [29841422, 82103210], [2173055, 41557285], [35914523, 66417633], [87579280, 76396084], [55227874, 14071718], [73131266, 94389038], [66956313, 14159058], [25560536, 15213053], [9370660, 25963889], [98369535, 30016827], [82634705, 60698359], [23671558, 43970508], [84514446, 23694016], [26240742, 68615373], [57222173, 82265669], [25843992, 94965600], [95299035, 73630693], [44169218, 18430764], [47972307, 52181542], [6481717, 79134305], [2383911, 58496343], [87697676, 4608598], [98935286, 398492], [21446519, 6920822], [82662651, 7213430], [55906345, 17390418], [40341740, 77352362], [54317236, 158344], [6502783, 54472162], [76715190, 48614320], [24874202, 15240361], [32356651, 40352714], [38001147, 42293397], [36213491, 5877374], [13729821, 83270602], [13288503, 33144204], [30339385, 87320546], [42413753, 18409719], [85063936, 83414071], [26941848, 13978980], [30607759, 58932153], [8795963, 97172317], [72485671, 3633881], [86418057, 53010968], [14980099, 92386228], [83289680, 79184089], [10668691, 27559398], [37742044, 27765101], [10946996, 25886026], [31551530, 49564417], [9803244, 75208738], [66712864, 70457282], [33890676, 57785385], [73973576, 40628442], [4979795, 37236924], [82194993, 5991858], [65605523, 22511091], [66434798, 82307550], [54121527, 6813195], [16646389, 15205460], [22384849, 29605403], [76844546, 40031578], [64021209, 6018141], [87974256, 68260917], [60076583, 21779272], [71072091, 89281937], [16722187, 62885967], [53530770, 10857165], [66976479, 79303228], [50757720, 20272824], [93612627, 33676118], [21526386, 84214733], [3709438, 54040800], [69517280, 39864823], [38251780, 35921825], [65472533, 88079263], [24865350, 5040593], [60478392, 63211660], [6796185, 65267427], [62543865, 78571272], [75463684, 14690352], [55610353, 22445244], [58025988, 36111922], [80394252, 14061201], [61116091, 95237491], [69955482, 65835507], [87147909, 24253234], [21526340, 1405635], [56267743, 30251330], [25962583, 66717205], [76695147, 59055790], [71779440, 44780111], [32451671, 40353711], [77887440, 34576870], [45752962, 71419593], [52012190, 74779106], [29659931, 73793634], [47168518, 79387848], [91038154, 51551649], [16618117, 38857610], [76871932, 9683928], [31310442, 41741677], [16461730, 79046376], [40834786, 97019949], [33980984, 76598936], [70953800, 11045443], [20358857, 78561085], [46702086, 85204625], [82815636, 30795726], [55327574, 48356910], [75234387, 31995521], [59242667, 23714999], [46226042, 73601632], [74303818, 9355460], [8327037, 47516335], [11952127, 95361868], [6600211, 73746041], [22966003, 14301158], [98871275, 58355435], [77675438, 65647910], [54199868, 93674691], [69036578, 18851104], [77193496, 43862624], [14526132, 35295458], [54223097, 354155], [93647512, 2079589], [76185546, 67575710], [93866891, 46877470], [59682458, 69108313], [20977105, 16756643], [33080430, 40848503], [85091498, 35545033], [73569447, 5818242], [13581777, 47599999], [97939523, 63364149], [20489590, 42902300], [82841639, 72937783], [81640831, 25143847], [36954400, 38776126], [86962984, 63782813], [95514315, 48629910], [51608552, 52991711], [23449419, 85788960], [99131495, 54685097], [53406530, 61978717], [22031782, 43945499], [22902303, 98679897], [30136235, 9405925], [2237285, 32126856], [39694737, 69978129], [18164592, 42897111], [48282533, 89798347], [88206065, 61749442], [70909379, 55607822], [10875786, 46937351], [24390168, 43948172], [42847046, 60698135], [70190184, 53431481], [42039096, 38634322], [39216924, 68284973], [19899183, 81269081], [23900861, 62829277], [80103335, 19458073], [88076700, 5043352], [28179806, 90344252], [60473952, 90686549], [85082281, 6995274], [39681928, 73005040], [29090986, 61383948], [48951249, 58177113], [50878608, 67725103], [53945896, 65270367], [79273358, 62438220], [58480519, 14802879], [41326734, 79007887], [92567128, 78960587], [41871228, 10250397], [52627749, 98164037], [82775015, 75849438], [12746806, 37916482], [41834007, 19251861], [93027062, 56818418], [3148460, 75785392], [41399350, 78460400], [16208121, 26093801], [40914549, 85699731], [5459827, 93755907], [99657177, 16859199], [9150032, 62307600], [97537982, 35686666], [6602611, 9192232], [13946704, 22249478], [96519246, 9134514], [95172852, 97441872], [11197875, 39381489], [81006929, 57701064], [35249685, 61736975], [51948045, 55570471], [23055117, 85571593], [18465179, 5162032], [79148446, 31038791], [62477390, 4238223], [29337948, 68786781], [64365087, 25401011], [4128347, 63267055], [67136025, 69517599], [77345413, 53531676], [27683684, 16028613], [63468148, 92401296], [9017797, 18848773], [49601485, 33757391], [63440920, 97564869], [23140900, 32572896], [57809163, 43370037], [33559176, 13986578], [2557231, 21938724], [69836959, 23895309], [52708364, 2171386], [86408538, 21052273], [43540998, 11666086], [78096762, 51082392], [54565371, 556011], [98516355, 1256419], [64074575, 82970711], [5895769, 7937961], [80125278, 76545407], [22937849, 5850688], [15134144, 69875747], [43777966, 28733964], [6323034, 89553829], [23453459, 73980975], [91007690, 33449767], [95263544, 73191043], [74162379, 77180516], [21774687, 20758770], [62679058, 36036174], [54685345, 47452457], [20429517, 75050636], [73109530, 17328819], [1066361, 90697552], [3069595, 57516426], [67980524, 50103317], [35766223, 19536960], [83671623, 25042027], [31218019, 33774954], [70545987, 85737192], [2990713, 53147853], [45789578, 33355986], [2260443, 45086066], [29063031, 89165605], [65959036, 85744526], [75197896, 66665401], [88062765, 97816497], [67248251, 50812124], [55390699, 45923799], [32410216, 73199637], [34062219, 58465680], [8232585, 38501230], [40397530, 28348588], [70188929, 23023755], [6240183, 15260761], [6067612, 75196864], [582618, 47815252], [72291625, 25185017], [28634843, 44990460], [55853196, 46140821], [23285542, 11699213], [68963849, 70484232], [29030767, 18596212], [58782644, 62441027], [36741320, 54903877], [68614108, 88271462], [57681164, 99647770], [7012316, 26369434], [43529323, 27979956], [4078006, 32996448], [90146463, 63672825], [21548380, 80118543], [54547869, 70754636], [96223108, 44541374], [57851540, 33659620], [33312416, 11867753], [21381135, 21070457], [59379097, 58561433], [65361707, 67463466], [29960192, 37955614], [83036601, 11941324], [82472585, 91285284], [80588363, 27553035], [56147563, 96321122], [34936873, 69644251], [30098602, 90880370], [33953940, 99712333], [12042503, 98556932], [27471985, 71626867], [31277927, 67882452], [88660910, 26318453], [30119213, 36078785], [42921863, 36033900], [73471088, 87501083], [37225420, 95717413], [47171337, 79490069], [28161803, 80888579], [79074328, 48861494], [15162121, 73418116], [48040747, 17790890], [77098475, 72057368], [38099474, 66060196], [90358669, 27837926], [20122391, 84578167], [77720774, 62628886], [25841179, 33949227], [31046456, 47738348], [36179024, 25136610], [55306236, 43266966], [20121428, 82033383], [84146532, 76005791], [7274936, 13450507], [54715612, 41279287], [35769941, 86966877], [1816529, 40897751], [5107640, 44903308], [41016189, 11080566], [23357597, 48649132], [9317624, 2146083], [50184997, 38234404], [3041283, 79904113], [95424394, 46454242], [97962436, 15068406], [80313377, 6313083], [81336003, 34565758], [76736633, 994154], [13264193, 90814513], [31836965, 85836380], [85449516, 55959783], [35476247, 48575550], [24844225, 16631616], [48366001, 34487191], [25790788, 62444776], [89457993, 74891524], [72978083, 24477778], [47321247, 66809507], [5186030, 35715949], [71954141, 68112697], [78631028, 54685217], [74052686, 94929208], [81549152, 67055398], [15902585, 3459169], [76897462, 86424759], [70224403, 66241718], [78670056, 39243050], [5472598, 1738840], [16146824, 86933168], [70447834, 46397813], [77649076, 15775130], [55114241, 46160122], [45598229, 27583644], [59261242, 34535567], [51014711, 60629676], [68664265, 60647437], [67399823, 2443149], [79624703, 49953286], [73224072, 12735422], [78806497, 80575737], [43617727, 32716840], [56859430, 45669529], [97286221, 90860842], [50914939, 82078623], [97270902, 76401980], [23871380, 89479369], [44430154, 62569880], [24923097, 45589954], [20151613, 51308347], [89322518, 91650680], [46771855, 42908936], [34394248, 97231511], [69499110, 11309773], [94654493, 5344729], [59682719, 67805768], [4496922, 28134144], [82839489, 5056623], [68705088, 35297388], [72536346, 24549123], [49232287, 67269583], [79350968, 24975525], [89165101, 7469517], [47261284, 31341386], [64484529, 98662901], [53485213, 41898663], [72274641, 38754017], [92477396, 37548160], [40160538, 76577026], [93604805, 81353278], [94801229, 1270013], [98667783, 13495895], [80615507, 83671247], [33479905, 266054], [80212512, 45256029], [6402266, 79859986], [17888644, 93757606], [23087061, 54284897], [23500422, 34401329], [84331047, 25119115], [26321775, 14662453], [62822185, 35943214], [72468125, 79317043], [42868684, 57621898], [77734617, 61430565], [84120025, 31764014], [55839827, 7650454], [74024743, 86185951], [94634335, 51978888], [68055057, 15980673], [59619775, 78028812], [28387619, 44300419], [51153214, 88861549], [20362968, 66685209], [20776328, 19743911], [31858214, 77331061], [65305435, 11114637], [30885283, 34331602], [14543654, 50224083], [20619122, 74399311], [97521426, 95618455], [91221707, 53146672], [94929298, 56712535], [88715251, 7025497], [66470282, 48564742], [92487991, 86541743], [75569010, 21485792], [45537377, 87747346], [81531080, 35428510], [67882386, 73072783], [71163554, 30217087], [23431970, 91297217], [89288616, 21021540], [45048604, 37227405], [71275150, 95744872], [19726336, 58809750], [35154531, 86229564], [12845698, 7220147], [56182754, 46525021], [65996045, 75056687], [21403768, 23657076], [69290781, 5418170], [2427099, 47387086], [89849885, 47160163], [57187016, 44667181], [49920797, 12932121], [17395926, 48697044], [11994926, 49415544], [72410607, 14845251], [81396874, 12066805], [76888975, 14214642], [83273428, 84773997], [20699364, 87858363], [82427258, 83265383], [59094752, 59361880], [95707274, 25922330], [29533169, 33592631], [14199470, 64384001], [52356710, 19515122], [4890410, 17309703], [93713331, 52196013], [99212005, 26078674], [17539964, 12370724], [98023753, 75415456], [6788044, 40329142], [5988209, 13881925], [54494548, 84115648], [53717476, 15431885], [58340211, 89998645], [86091196, 28055251], [62876176, 65308878], [29896148, 13459466], [79877348, 75711226], [9405466, 38330101], [64197569, 56728088], [40663224, 67526827], [74565983, 50632585], [42099285, 73170984], [34443370, 74070944], [36566039, 20923100], [93074245, 43317326], [21854620, 93962672], [51506315, 47530121], [18981859, 31444333], [98400488, 65410704], [90099161, 72538481], [78392112, 10599197], [90145135, 95867772], [51949654, 84522043], [29961793, 46311692], [2610316, 66307824], [25911334, 65561541], [46989155, 82291620], [11491472, 352249], [82393663, 95311912], [53032319, 13574386], [92812216, 68012609], [47297671, 47964959], [62153600, 28340207], [80776099, 32868930], [91051452, 42091758], [7490490, 44381479], [54576428, 37993647], [91161954, 56507849], [19345807, 44842550], [47772469, 46161709], [25833026, 86938021], [99830882, 34770069], [14232182, 61303248], [31695587, 69558526], [50192054, 64104895], [42223528, 51238076], [13142498, 7124388], [30260812, 10590123], [31462669, 30449045], [7301706, 89473066], [71044938, 19230779], [56792810, 25871630], [20162607, 85382817], [6853027, 57294165], [16709957, 34974157], [33450380, 51671617], [5070487, 69795507], [40143648, 3427790], [8363472, 30484665], [87507697, 14178127], [31021905, 25937262], [62884760, 68256024], [10451784, 45247697], [79577904, 30994506], [80903237, 41056937], [2262828, 6197640], [2427704, 49358130], [78896234, 44098671], [62992916, 12395511], [32005026, 12135227], [73649190, 6433333], [82754225, 17761837], [84463326, 48645549], [55505320, 70788452], [50189806, 93162200], [25390877, 10211412], [6035882, 98809948], [67910521, 29308277], [35906825, 57978307], [9988352, 71726872], [71704426, 57923575], [61860473, 13224822], [48456038, 92532669], [82684879, 46033585], [60661682, 78948008], [77898468, 90267733], [36907908, 79924370], [7260893, 90568827], [38561860, 14429084], [18498381, 79598860], [39548963, 42155955], [93364160, 27132698], [31167461, 26684749], [50192209, 17975534], [22456433, 9559084], [69207729, 65289552], [27835893, 46818926], [5921869, 76700049], [61316960, 24611870], [79740856, 36642474], [96041145, 70988626], [43155392, 54362842], [94668362, 49831624], [81922031, 62586808], [66510563, 76419368], [31527512, 94835126], [54009585, 6379125], [95043859, 23074162], [9719856, 51960438], [6620518, 92219861], [11037915, 58164018], [64468213, 67572732], [37113893, 1844427], [15484645, 37223254], [26107940, 16334462], [43821274, 13673244], [11870972, 63412886], [6261433, 67803042], [34105179, 91662448], [85414370, 64454151], [94455992, 82737834], [83712425, 93552470], [95401089, 73795975], [76003588, 60920091], [24440263, 56810980], [46406941, 77856464], [90329015, 82215467], [61678199, 9167857], [17981738, 56383967], [56377126, 96430172], [32667779, 87318594], [23356865, 42474505], [77408830, 9812713], [92753895, 35044584], [7375657, 79412152], [36184926, 206258], [22101771, 14233938], [42911783, 37636974], [28829223, 6235376], [57607675, 80617191], [82610337, 46854611], [21192852, 96147761], [16516511, 65235014], [68228697, 88121189], [52694316, 23422001], [76588087, 94629915], [2835529, 32319416], [55437190, 90411516], [55148432, 46035873], [82129770, 39876597], [49810974, 8586229], [54306806, 19470645], [52204637, 28707087], [84207062, 88661011], [21944022, 38081406], [32273049, 96960493], [19832881, 9356854], [26086722, 97070775], [23523784, 80413789], [33744324, 50047421], [24067506, 39731379], [41488411, 38453788], [3986602, 81486354], [66121657, 12338390], [66935851, 30050772], [12649694, 96302004], [58520388, 44400262], [16494313, 68872579], [12998373, 57408677], [92601610, 82925325], [41481150, 16955747], [38049555, 45554176], [34844934, 20906589], [33913945, 5681784], [23257696, 61733276], [53185880, 95490486], [72836078, 30717624], [95505064, 8016258], [4772417, 13112345], [88173226, 98969799], [51076916, 67650093], [74818365, 67492730], [75546257, 4362025], [55368365, 3122468], [48972216, 53932477], [34607622, 753280], [46807968, 63570576], [17116431, 54749130], [40486809, 16262921], [97780630, 73320594], [77891366, 33635007], [11438683, 62104220], [97505392, 65943782], [73950682, 90248962], [54311526, 62875331], [5537762, 50691726], [57308337, 78291176], [59005076, 8906439], [47564451, 65299914], [48763842, 96458398], [18890896, 94376896], [37732331, 40217489], [71762916, 68448528], [54678986, 83938268], [39128228, 46584857], [41090871, 69994504], [47609381, 79033267], [46756097, 34120142], [19994455, 91138250], [46631290, 76254822], [53727877, 4301502], [27919244, 80496571], [64621445, 99072751], [96886183, 43351703], [8280356, 63424524], [7425001, 99127943], [55870512, 26992644], [85760368, 60334866], [57419992, 95284183], [72795796, 20262247], [63971176, 18801631], [30295198, 75711759], [83715644, 19752266], [62666361, 25781449], [92628208, 39585247], [37526249, 52692935], [63230640, 36442114], [67437158, 33657472], [41594729, 53667494], [69082469, 47478589], [32966888, 77027527], [43905610, 93551961], [84348674, 53554480], [66573048, 81677398], [54531371, 73961160], [33269964, 33161276], [87246534, 3092384], [59837452, 289272], [21376739, 10855723], [96389299, 74690206], [39680481, 44685343], [80300965, 18458911], [36340422, 41727751], [47690995, 45810250], [56869705, 60949380], [4627096, 76392736], [26645499, 10903496], [34921502, 57476623], [97052691, 2970798], [22476629, 99753286], [35001557, 4417462], [67357157, 47002803], [28630293, 45068532], [95056703, 88074989], [6356744, 22341960], [48665880, 73635056], [94668990, 73875720], [41804937, 89570015], [96486307, 94964126], [86710832, 38181436], [85753355, 45534020], [58383685, 23634092], [63005762, 47790502], [53309392, 12672373], [31796929, 54198853], [68800592, 95391467], [7019156, 94623435], [50987663, 2926701], [40655287, 93505420], [67002605, 29063121], [24924603, 44933370], [60514633, 92532526], [59714971, 31257004], [17247250, 24142166], [16889492, 6083959], [57920901, 73230069], [15914266, 23333950], [32958025, 69508168], [52928769, 75872812], [41644525, 35142556], [67472462, 38360261], [92408534, 10632338], [13882706, 62205796], [46597495, 23692966], [81453920, 46863183], [24104421, 97478152], [48213183, 6624931], [99115379, 22439695], [84438131, 94276110], [16610225, 53268595], [32824754, 33177123], [10908361, 75661519], [91496388, 1873136], [58995339, 20295834], [84498617, 77665761], [29856994, 60217893], [89270902, 41574779], [58142811, 53755979], [9531259, 59526606], [97299256, 24914440], [34131321, 73778300], [25833584, 7401513], [67064323, 81171276], [82203355, 36401310], [21601325, 88541251], [59173842, 14787978], [53887975, 3409080], [1581765, 83923774], [5975850, 22119699], [28395524, 49427190], [49845470, 33710537], [28336895, 9518917], [85770586, 4384342], [48629082, 11240972], [58928195, 64283396], [67309672, 43913409], [33761687, 1429098], [40559979, 19090695], [54588938, 20435350], [13033009, 89557474], [61494129, 90107122], [67587018, 80790062], [89564716, 96913177], [59149087, 47058412], [31855225, 4543015], [81030400, 19223301], [90690913, 58859284], [65823345, 25819343], [67048837, 53879653], [64363250, 68022979], [98381895, 24784163], [19515576, 15526200], [33296292, 38268925], [55646360, 18485986], [65431676, 34668544], [51129632, 56679780], [68828452, 36890205], [59134165, 50786619], [15515858, 31267195], [26968576, 27092495], [14330981, 99760775], [58229584, 42478013], [68713329, 17195658], [17585970, 38509922], [87102043, 58641951], [30339178, 63488783], [70699056, 73983151], [511220, 9601569], [83980227, 8507078], [53317790, 54228138], [62744324, 78360366], [5571962, 47368560], [92868224, 51776053], [30654861, 52771431], [70550491, 1975664], [95403841, 46225110], [14882681, 43897271], [75934290, 78883505], [83482163, 74309743], [41708740, 42476236], [94629121, 49440104], [52631551, 13419952], [48098069, 25335398], [36638107, 628703], [21261196, 26116705], [59278358, 95861570], [96921320, 13380907], [52139392, 57457716], [13985074, 58922588], [24571358, 8935243], [21442452, 161721], [51672701, 29360294], [12611773, 95996648], [52334330, 79631007], [68103312, 79654579], [61499511, 8128976], [81808486, 23976035], [69218764, 66838878], [56015551, 85475362], [95479807, 53077136], [17131293, 46054130], [41606408, 98575510], [52191759, 75344317], [15945599, 99126514], [48192674, 72017027], [52473109, 54037206], [51322263, 43913924], [31981205, 5761579], [13004884, 13745491], [65607583, 90305208], [43341614, 74709798], [9325196, 47385685], [73848450, 30981186], [51360243, 36756024], [33375272, 42688079], [1024235, 439649], [2560781, 72472832], [56181299, 34956826], [26390112, 20984401], [82631985, 72840722], [4231729, 98853500], [38019047, 32839533], [98580299, 9539642], [41720824, 20196712], [11962104, 15898561], [59665965, 12970455], [3692721, 80653028], [37127923, 9323197], [9507012, 12002624], [60884972, 13766019], [95504906, 65671422], [80783642, 18472586], [32168058, 42209193], [66142756, 83533363], [20827533, 43216562], [53767561, 56875824], [73399114, 69362554], [64376786, 9647706], [79773983, 53926426], [82211934, 62843916], [55043241, 78250543], [45128539, 41624247], [39645186, 22034590], [59148868, 33652133], [60899190, 98778064], [11318161, 97044146], [11866628, 49492105], [35959567, 93883381], [1733386, 14808161], [57248571, 11181663], [6026465, 2165340], [84085877, 97002772], [86646104, 55639025], [88035639, 20388196], [54458444, 63554323], [72535915, 98221773], [37784666, 25398179], [8106938, 52781535], [62046520, 7946262], [40029070, 49905981], [57702614, 74632178], [38888868, 23985078], [27433377, 15737403], [8569034, 56192510], [18635100, 53199493], [23805814, 47115680], [37234896, 38701024], [73390632, 66959426], [27155673, 31303762], [44239662, 45089416], [51216512, 62072126], [95003446, 58312206], [14197347, 98800713], [30325197, 53354790], [52267402, 50070209], [63963656, 95828976], [88871781, 39976345], [54080747, 64961145], [43114168, 32303993], [43819389, 34671845], [13243654, 89352822], [35002462, 52910128], [57099955, 127459], [93231770, 94929040], [99166267, 49775105], [73045534, 7358691], [93833050, 59117040], [97471915, 14230595], [72151431, 19044827], [46639898, 66785109], [71588715, 60275520], [63580821, 23801167], [1939545, 3370152], [47393098, 74884807], [74924132, 35712751], [25022398, 15347866], [32026838, 17633065], [17979910, 26786921], [497771, 5410776], [36580003, 64519268], [85868453, 2286333], [61014550, 9568064], [34492746, 38982191], [35717446, 7356025], [96002681, 28974852], [27759456, 73324328], [47950881, 33254129], [12315907, 92970519], [25868038, 8411399], [44925162, 31860314], [93737479, 45671232], [24450512, 2141280], [15872405, 93890584], [58253613, 65764519], [11147544, 11226672], [82909267, 88259470], [39165063, 84920152], [42580715, 10799125], [37264102, 2120795], [59419568, 63401386], [22834313, 82956207], [70249732, 41251172], [95607968, 19565033], [89928928, 19152640], [86513271, 89656939], [33300169, 16677298], [66985736, 93748847], [88652215, 68807669], [39276824, 27230316], [68276299, 75666343], [29508313, 3588204], [89676947, 51654795], [94575488, 98562873], [10186422, 88026221], [49388683, 14147131], [81338602, 53271376], [37170872, 64296191], [10322552, 63053024], [47330922, 19750502], [17717409, 73143435], [20665547, 99411413], [35122832, 69240601], [61693030, 37232269], [10090966, 18765475], [60510327, 7566788], [820764, 32136197], [86518562, 44115455], [17427335, 88690866], [81816758, 70169449], [16543448, 19737480], [78285293, 26740321], [50292835, 34858009], [57180953, 11380709], [54658768, 24539297], [57930233, 92541386], [79446757, 7653942], [94505479, 35551036], [40726833, 10575396], [91472396, 86285815], [30713647, 45231687], [67959974, 18747689], [41798695, 50173704], [16044601, 60478340], [26820329, 64007584], [47836018, 9477088], [95851301, 84863708], [90435662, 43526503], [33996946, 22671988], [44115049, 1946935], [7975003, 72556068], [62252502, 63972871], [24071428, 15112576], [68341367, 54274311], [23978075, 24455549], [55987652, 32925239], [62056830, 13398299], [85765786, 8803521], [64021754, 64294200], [28154467, 43392120], [59451402, 71305632], [71036621, 65198131], [9373664, 81695606], [26063902, 15338378], [20956587, 37611282], [56369792, 73338797], [66704616, 42277251], [1270904, 63206875], [79302128, 32754297], [71346488, 70814102], [69964850, 46111659], [31797806, 38619008], [54255701, 30194384], [8619806, 61816457], [59826579, 80356382], [40442393, 48560522], [62793431, 36754513], [25625430, 78300923], [83578431, 34912726], [27666194, 97963739], [14729989, 70599017], [49612417, 58622684], [37785683, 92795629], [78751001, 17636658], [45362273, 43242853], [79402434, 19568334], [13159547, 91737318], [76878810, 96841995], [27973215, 84278268], [15155510, 57344621], [57251060, 33664732], [28364862, 41922740], [50332394, 84527475], [69712092, 4531578], [20222213, 95373113], [31346814, 858234], [29693624, 61675439], [31104248, 9105783], [12094660, 42823913], [98161134, 85721142], [40100257, 12615683], [46535735, 95257895], [28448490, 67784186], [96581258, 71204339], [81927539, 2464676], [85897867, 81894105], [50662091, 43321184], [50363114, 73439486], [27049760, 66036162], [76963021, 15001653], [89515811, 41692390], [39374097, 1398284], [2459039, 5380146], [31105429, 64245582], [64055584, 38697830], [40032067, 22626653], [3339865, 82476166], [31282306, 247100], [21438582, 26825936], [20777805, 62148603], [47111110, 19213098], [11445576, 60721155], [81153784, 21347735], [9459953, 1862377], [63632149, 66038637], [85816042, 95353008], [65601735, 78778067], [89337036, 52948096], [74718119, 22696961], [23016812, 66661077], [40047654, 86985369], [87584556, 39740578], [41023949, 8988465], [40914435, 56583049], [32840196, 43562139], [26614796, 79133225], [10844059, 41911978], [89217652, 60091127], [21804764, 3065107], [54955029, 24797739], [54134827, 21876526], [30293661, 67468707], [70421374, 35655519], [36926101, 11001980], [12729595, 78389297], [80742238, 41622770], [60675792, 95648039], [96122465, 5909911], [24330510, 12882343], [7390309, 59422802], [29885874, 69316649], [45496054, 73117516], [940480, 62358269], [47714296, 5916262], [20602738, 72279473], [69516106, 76687199], [50345170, 30373076], [57406892, 56271448], [15252380, 87125631], [67055079, 45718615], [14799488, 99574568], [34764975, 51695983], [1402105, 73703823], [45977988, 95424461], [46378172, 25721356], [95093060, 54659730], [48496928, 79776806], [74995650, 43410261], [2647292, 80353823], [14854466, 35360349], [99265303, 32607981], [16138652, 16344438], [29055699, 51529650], [26461102, 31205183], [22947699, 66435709], [44291270, 21552146], [41957884, 29837345], [5943595, 28892095], [32595972, 25039541], [91759211, 21725525], [87551012, 84645632], [42130334, 73141181], [2420364, 17210199], [17903162, 71077957], [58798459, 41026265], [52484871, 59891658], [93522655, 55506199], [36570606, 43235408], [52365843, 45443269], [89708411, 21053314], [16002578, 4849616], [63086832, 84830860], [1248072, 35416934], [83061711, 81144149], [13229480, 4851761], [27181503, 72646980], [82438869, 22870537], [40813774, 23454629], [97970558, 51233562], [83457312, 9745255], [76142392, 71714616], [86990571, 93960155], [98575041, 40721337], [3464057, 36876222], [9326, 90242183], [67721656, 36111025], [43373390, 54806541], [84389717, 69203694], [71477211, 12305628], [32794041, 4816841], [91055779, 45473692], [15264304, 37515545], [70632277, 85965106], [76308794, 60833769], [56166409, 49882706], [92887615, 74413644], [70666760, 50986845], [98381176, 11744456], [37754215, 52780702], [13718236, 84057732], [95180566, 30146549], [20797812, 13334488], [67961700, 12120430], [9082585, 48193801], [59985189, 35594279], [19623123, 67938820], [31986219, 36306853], [45816335, 9554808], [46795056, 59150471], [57550362, 61566264], [69001305, 74895363], [50958801, 12794951], [86015969, 69901272], [59245897, 84640800], [93883453, 80574112], [29846740, 80843465], [3433473, 57153048], [92175160, 2846956], [29201284, 15889438], [29659494, 8578463], [62049639, 47042474], [88412434, 45532154], [55058384, 49222587], [31812855, 25465468], [85330997, 39401598], [3866449, 39127543], [52286916, 29943691], [6679131, 19802038], [89650209, 42226178], [79255669, 92363237], [80414375, 36568085], [89139344, 41516190], [45030278, 46690455], [21606575, 53717496], [92000911, 76507294], [44576379, 10088046], [48795094, 2435816], [51575590, 76493119], [73191953, 58879742], [84583565, 58309999], [97299972, 24226458], [27400690, 34422209], [2134642, 38433510], [33043120, 96340302], [57667937, 81437773], [71886214, 36159432], [43583025, 70990513], [23721025, 20677981], [76636596, 88924723], [8940668, 83699492], [2297445, 33370667], [37605692, 45483907], [80848683, 27360849], [60667374, 60020252], [60742979, 98515509], [34936115, 61672374], [85807502, 81479550], [78138979, 13375418], [895216, 8668524], [12478351, 77835380], [37137038, 89392559], [8619462, 11833723], [58171783, 34044715], [90372318, 28969862], [6822108, 32067666], [86686230, 53500939], [66679562, 66088210], [23221477, 15803411], [79141478, 8804544], [20627034, 44272023], [23602915, 4337627], [9526195, 21134261], [78310236, 61720949], [13567513, 59944537], [76037823, 1679903], [85226418, 50393632], [68811301, 31670256], [78985683, 5828585], [29408685, 37332740], [56590682, 66565537], [69616529, 74037465], [99712377, 30999461], [56105423, 26189677], [1076850, 30440449], [26973580, 46533865], [43228080, 31388951], [83401077, 93151344], [92579092, 30370447], [24226539, 62591439], [5817903, 20562384], [66918853, 95176102], [28369873, 40481132], [48998412, 44349855], [10182637, 10084597], [47414386, 55540639], [31076042, 20376723], [90832158, 46755543], [67564878, 63852976], [84936307, 33016350], [80365931, 49586626], [66040008, 55481592], [42428240, 67108552], [59595653, 30724211], [21935418, 18297652], [71237120, 49049964], [25915750, 64399261], [91496168, 42454415], [85072047, 38874365], [72572176, 64786753], [36838939, 97590243], [97965698, 34973537], [86330266, 37054580], [58003273, 82680369], [82534210, 44844573], [12759223, 67147046], [33153251, 97899180], [74645543, 87286132], [90479532, 61723145], [43572135, 32447720], [84007959, 83744220], [76843052, 17413179], [89844678, 39228242], [54638871, 55058514], [92486196, 5230329], [15100011, 91765539], [74188001, 21237093], [72901744, 69469006], [40386635, 44244583], [90700047, 21000984], [22957275, 67739716], [11924275, 19068351], [46692885, 9624531], [32684758, 70491013], [49708361, 64335161], [90790024, 75174734], [60133758, 16300708], [18520743, 89388803], [14128825, 44293692], [22500698, 65168581], [64363543, 1432026], [72199652, 8238747], [53189616, 33684356], [50330747, 8058228], [50525807, 72669058], [54779026, 3296151], [6733329, 92095397], [64147691, 42141504], [10077956, 31949458], [93407030, 46352637], [30209657, 12474456], [84616150, 18963565], [42944537, 30776231], [49670917, 35273570], [57271522, 47361033], [85698196, 31702696], [98295903, 98462284], [41596994, 27830071], [86305880, 1394098], [92394897, 40955704], [63955408, 1427591], [39089519, 44994749], [5674488, 23747901], [38230671, 76237326], [66731338, 49818148], [7973033, 62315531], [920830, 58700498], [56894797, 44862064], [30001345, 37233396], [54957323, 66264368], [14977913, 69478192], [29298038, 33956555], [40345999, 62737473], [90971215, 34602806], [41757635, 6867273], [31696363, 59019032], [1365376, 93590339], [31420578, 60850516], [5590188, 22538495], [88986765, 86151632], [77140869, 91604270], [21220949, 19252190], [48066631, 36111740], [96727489, 36596636], [3435283, 57079799], [47989064, 26821349], [38342003, 88663181], [37951380, 84509343], [2281815, 9387913], [48927856, 41225925], [82837070, 32649666], [57743611, 5192013], [10473192, 71454631], [80510861, 28663977], [80096891, 11376580], [79505885, 84620721], [77151879, 93334207], [28227514, 89864474], [67659286, 10257971], [37925684, 45280343], [97196944, 54263588], [45339812, 36898094], [80845652, 56906862], [76077737, 78053084], [64310825, 58247396], [18175244, 29500803], [34432891, 23413592], [49203069, 85629326], [10121414, 54796350], [20898228, 30076902], [6744619, 36069376], [29084954, 81690177], [12189383, 59489132], [5760250, 24507611], [78774226, 1974755], [4545761, 31487201], [1478021, 17558336], [46722927, 55794662], [20361703, 37229526], [70278224, 16119885], [78723437, 67633114], [6548397, 84872532], [42325867, 18130187], [81246010, 33289106], [47643857, 99613509], [34054639, 17345072], [85359067, 28295170], [26586995, 31665054], [86628216, 18558203], [62273064, 77840405], [71970212, 23102039], [51466462, 58727453], [68602333, 35153249], [70396674, 14752613], [37985039, 40333410], [33107052, 42681688], [42855064, 26600244], [21142465, 26904972], [92102861, 69597829], [1726704, 20231364], [44805408, 63489584], [96155337, 3077061], [33650365, 26470603], [67309572, 68215256], [64385623, 5468580], [40882732, 85424166], [46114043, 11409674], [71220617, 98218094], [97283527, 27949667], [93647842, 86073662], [87616503, 96087940], [4761601, 71845928], [77496280, 46533852], [79542602, 93265481], [41063771, 63295131], [53239628, 62356995], [26185865, 75385819], [62204853, 67065946], [34858650, 84883673], [24803164, 11540149], [73047311, 38387284], [22207315, 62364711], [85668138, 66622478], [54630468, 19046041], [128536, 27735554], [11189700, 9348352], [90286092, 36226028], [85432220, 74912489], [99198787, 2129059], [9616004, 66738394], [62288218, 72575026], [17820367, 1975466], [60005189, 74437450], [36163062, 55910252], [74209448, 8204929], [85809462, 19413686], [68496643, 27084027], [41897799, 38395198], [53322767, 58761883], [37041484, 19331021], [95402304, 33084972], [68935409, 17623994], [44250710, 47684533], [42790821, 80933105], [53707566, 88765510], [65340553, 60292592], [50020752, 5087886], [4452920, 65144466], [10130141, 17730394], [19594033, 97656590], [86686860, 67344514], [91555330, 67573740], [49942905, 11467282], [61210208, 92433287], [38427596, 28969029], [55475418, 24442392], [88430628, 98678003], [13850202, 42076922], [53983723, 8185868], [45175071, 91991157], [35241241, 81028437], [92835994, 57167457], [91218395, 40540372], [26630375, 94542007], [34507749, 82156792], [87998828, 87497888], [41377150, 19269738], [80988712, 28536586], [87202136, 1726156], [12745488, 98522277], [9492851, 92362205], [21823897, 97002901], [74918798, 3712732], [37725090, 67504075], [24421027, 67682108], [54513162, 75579304], [18325645, 64491859], [34764424, 54146769], [85514252, 6558276], [92738994, 7764485], [48047425, 79092525], [18639980, 8455563], [84124054, 7898114], [13991049, 19461452], [93635505, 72790378], [50568321, 16119033], [96401459, 16447418], [85878966, 16153177], [62964664, 66999440], [86344409, 62711733], [20694558, 83192606], [43055469, 48187177], [13748831, 35739421], [1710556, 93362392], [26544892, 41677478], [11691034, 67751346], [19276079, 29395221], [73537855, 64092221], [68944966, 85022250], [75918584, 33582478], [56972662, 19814953], [95221934, 20751764], [50897194, 39496782], [20734570, 97587353], [80023936, 17286474], [2278872, 19492350], [46775541, 74604220], [52549394, 74385949], [66229921, 63064064], [62898582, 25533319], [52390993, 43934446], [79271823, 28055651], [43101116, 90408704], [81277978, 38281900], [97302106, 71814290], [47746296, 32389372], [86831075, 4638015], [94985101, 70593668], [61796736, 43054723], [22898238, 22439787], [25600152, 27545316], [98436880, 10714304], [31785423, 20411268], [7794228, 58587417], [21883232, 53887530], [84481139, 30020482], [31421483, 99903300], [5267424, 37794404], [53558486, 13177236], [76435550, 48278506], [45040747, 9189973], [18356286, 72640378], [60232178, 27895874], [8007469, 84681041], [94851238, 45068036], [51128053, 36947576], [28265703, 52973163], [73795319, 29342135], [15969011, 2872300], [50922876, 88242646], [45137989, 12876063], [26012499, 71347741], [92624984, 8494249], [81748892, 77152210], [73014274, 8373852], [51810527, 41598510], [75542891, 91424733], [62041493, 73983673], [79560047, 10102580], [35817140, 35469121], [30574511, 43516748], [90801030, 63685955], [83846000, 34713498], [52478379, 2817630], [6157758, 2200078], [27129081, 33854458], [36398284, 14599532], [74595343, 39967591], [71093688, 47209718], [64143779, 14802080], [39844415, 69690870], [48788030, 71182942], [36153830, 1430604], [47812459, 7249736], [53177767, 52859866], [39286115, 41645809], [65697276, 49459194], [78473142, 80884938], [80030921, 65236123], [93077820, 97644058], [69835434, 1938560], [80124229, 92924917], [76842215, 79234806], [11163439, 68249927], [73423640, 91992947], [99806125, 90787974], [89775693, 32272446], [70700399, 58426258], [68310687, 49747718], [47894411, 39332888], [5012719, 6286772], [35091890, 99474072], [9808411, 42543488], [72100836, 75374162], [34886345, 23784285], [83327194, 71757285], [29147905, 17464723], [92186499, 71758234], [53431234, 32122277], [91346174, 86273227], [42055731, 53146359], [19004066, 66180310], [57984004, 46093001], [26389206, 68039104], [53093926, 58650480], [8023905, 42560123], [79708625, 48083582], [32694132, 10852458], [66165334, 45302041], [18955006, 86158495], [84667402, 89059990], [34363969, 15412078], [31634221, 65169595], [84992588, 93114847], [77405923, 63775194], [60475132, 95703955], [66003307, 9319885], [37480298, 41047502], [34651866, 73567183], [9720625, 41597572], [35673943, 40819857], [2929508, 72251416], [95732768, 50860650], [57005256, 34274424], [40112571, 23299764], [5927227, 83953375], [39605681, 30982217], [46086530, 39283901], [76060759, 53805431], [61706460, 17211552], [52744580, 26948628], [25318136, 51114031], [38006979, 63903236], [42418063, 24463465], [95690470, 14108908], [53447616, 79507604], [27412423, 1231796], [6133662, 89317212], [37284847, 26120808], [10553455, 44126731], [6519934, 92253043], [9626683, 99203314], [44795782, 24371513], [92047192, 84308636], [33934951, 78142838], [71533602, 62759755], [63890550, 26133009], [1363505, 12024810], [21894371, 19426111], [56338788, 80747772], [66669194, 13115238], [23806963, 78513785], [88106580, 54855172], [22020904, 62184663], [27082392, 87054222], [70197450, 52281616], [51086541, 26355885], [90969232, 88189622], [73954690, 71557481], [98013949, 27212253], [91093064, 14275221], [78725821, 81803563], [40228389, 98139249], [10028923, 20372658], [8192119, 76736058], [34559745, 67970243], [34166718, 1918226], [19802943, 34603578], [26249819, 16229111], [12773284, 99165304], [77402173, 78064524], [6188584, 14701505], [81589429, 69916518], [43665778, 94814375], [42900100, 77650370], [54652745, 16979535], [54576338, 6179726], [84343006, 58856763], [64918765, 56541270], [30051862, 19370377], [88856606, 64499506], [314860, 80687211], [45538730, 83358953], [31123735, 28876976], [95066466, 44470357], [45029483, 15656388], [60046935, 48423674], [23450588, 97359433], [93477441, 48715172], [42618088, 21651959], [11410908, 37411209], [60056350, 54302227], [62853216, 51787594], [37156913, 68111343], [97681406, 11406521], [44688119, 95108669], [1935106, 86768871], [93133919, 77515945], [83006018, 61817362], [68124164, 56215151], [9582002, 59042511], [33847884, 31548910], [49225059, 28960275], [34063581, 21912858], [25373646, 64148705], [6682492, 55272108], [58946095, 29964490], [44598184, 11418183], [13849446, 29774409], [83435993, 23771772], [21504333, 85621919], [22293245, 93374177], [3906585, 95758139], [62471034, 26739623], [78492789, 89066619], [29554830, 12225495], [8423478, 25355325], [28800210, 25294832], [10765862, 71734747], [14560629, 74917335], [12919535, 39667526], [77878208, 29429121], [89361180, 40879438], [40851742, 8958184], [20926081, 39903412], [78802888, 65465419], [60560133, 25558218], [59901116, 7696431], [17767932, 9704182], [20539251, 84604861], [66690847, 1155497], [67272782, 18242029], [99000564, 34295688], [54597605, 93827005], [78476986, 66026937], [37484814, 44686533], [41575100, 61305151], [48127252, 34514636], [34934194, 80095847], [8700392, 14585774], [39620429, 62811439], [92726218, 98587447], [4891284, 20648874], [73318098, 55263442], [45321923, 84812317], [24367967, 24970803], [49847952, 34060115], [91872315, 57397208], [57502946, 33069092], [45155825, 58295663], [10904686, 4785773], [45384418, 99916539], [70846502, 28579336], [17794526, 78542727], [36373507, 12759666], [29259305, 36532146], [36968018, 35910424], [90785752, 16868371], [61903194, 90297275], [55066228, 86021535], [4832487, 74927444], [4056285, 90900376], [10693282, 26992865], [11457872, 41233479], [77010180, 62030987], [9791325, 43001495], [45095381, 760475], [32993922, 80967831], [58847341, 43197229], [205985, 43214239], [25931523, 19232404], [21467765, 14458263], [11278059, 44916069], [99262286, 66412561], [97008500, 75571332], [32666692, 77204267], [99153691, 35480017], [55684996, 21333513], [86873710, 2567348], [99468294, 77698833], [46699122, 88483497], [16272312, 86688257], [66373548, 20103213], [83427682, 25846799], [52318480, 86427106], [22125204, 48208604], [18422018, 36916349], [52205514, 90318876], [3997627, 12298412], [74755972, 13927542], [16241112, 63474186], [47550725, 13766153], [53625781, 43481967], [46040267, 8775134], [45751771, 2580925], [11319166, 16181856], [8996243, 13105079], [935768, 90279339], [85137104, 54157962], [94897340, 45034420], [85158798, 58510122], [95731028, 61257281], [18698876, 33691428], [29634842, 88343404], [28717647, 40442491], [59315948, 74647834], [91581907, 51961135], [39569837, 20042530], [29419912, 1474110], [33512792, 87963908], [46114275, 82019789], [72398357, 85295535], [49257980, 79526508], [92737707, 70494301], [47570832, 29152683], [95138786, 78655970], [88229115, 86994678], [26542836, 56405588], [81651226, 23166079], [95394379, 96284528], [56973105, 53752139], [23580645, 9982013], [62824202, 55471883], [2139032, 25204980], [72838517, 78641990], [18734170, 96946412], [27796977, 13795504], [72925404, 57624470], [96271691, 56706781], [38423477, 21381528], [24097317, 88691539], [54681270, 39872701], [83128437, 81167603], [89511943, 5112964], [20435377, 38239225], [2364418, 51612425], [17175482, 66895319], [32610862, 26608453], [57391829, 70272670], [6598947, 55550849], [56529179, 82949798], [3142523, 22730011], [12811466, 66455132], [29521234, 25999424], [90347030, 67821172], [45114907, 38104204], [63690681, 81446605], [44578063, 38521057], [34508049, 55444687], [63964063, 75733019], [83332002, 74427951], [8142247, 71763059], [70867421, 3929026], [50058686, 53166434], [59167453, 46561419], [19680174, 7660138], [58683012, 98576722], [38365897, 45427314], [75157268, 24556256], [2492661, 3635769], [9459486, 93630144], [8260201, 41719966], [15471555, 13566371], [33701789, 58424716], [1044825, 33226813], [91287426, 656747], [48954641, 9154953], [75883046, 39357527], [42306073, 35457677], [22431267, 65196008], [50149756, 66273499], [65028295, 28430339], [67755556, 78988625], [18279032, 88829440], [84617436, 6262867], [94006405, 10596448], [21162808, 53486868], [76434978, 68431292], [33749908, 9670847], [73031801, 76827539], [60539876, 42060717], [68030340, 18720935], [97736961, 8993648], [26794589, 56514109], [75745949, 59851359], [93992903, 44683147], [57293070, 60888586], [91187914, 1942296], [29399215, 97321781], [95902368, 63893950], [69501506, 10390534], [25962910, 36955541], [10582620, 84650680], [33699456, 97749646], [30740153, 55154158], [97885513, 18943709], [98615088, 89894359], [80799566, 72177371], [14079294, 36951929], [17176707, 79801332], [94306059, 27031516], [41714731, 52241830], [76835579, 41031692], [79963273, 47993255], [68715055, 41667347], [63757772, 92613119], [44813806, 20700595], [74323447, 53905005], [62690351, 78418619], [67884041, 49529106], [90734771, 50353624], [78731469, 85207531], [68804049, 46205435], [83519597, 78092226], [53138753, 70074093], [4761226, 15081725], [20492034, 2690653], [79434076, 63250616], [33633298, 34058533], [69870227, 88042813], [87076113, 62640649], [65798168, 63433224], [66251313, 44215822], [42939097, 17651904], [6818842, 89427243], [81149950, 66469962], [48158847, 29610499], [2841588, 10198555], [20332414, 69797594], [82638441, 23134599], [38921698, 50548992], [89593967, 39693735], [46942368, 15480073], [34779112, 30309147], [72834866, 85446638], [7545877, 77699970], [67580180, 332074], [72514435, 77041032], [77734618, 16328447], [10991911, 80495167], [83239407, 84198068], [66204324, 5991238], [58231181, 70069569], [67596541, 92737045], [76703335, 72461558], [67148236, 45451758], [16311213, 59242369], [42258906, 38941858], [35602221, 13757422], [83217598, 75262782], [15554916, 42422478], [34359553, 33972136], [74769475, 64147107], [98387255, 79364889], [44818104, 22358075], [44569578, 52920965], [43413664, 19384057], [26892673, 78791737], [99791796, 8592455], [91719693, 73079920], [56895461, 33670172], [7586862, 80228912], [62890290, 40375629], [77630498, 64320593], [92220470, 51123004], [42454465, 45359112], [79169502, 32798207], [95678484, 93907026], [20876144, 39895858], [37174062, 70977994], [37661969, 34508993], [43995511, 14119258], [88996353, 71001142], [50782414, 9793042], [73146743, 30407007], [17457167, 50235313], [48711613, 676567], [78444767, 99291392], [45658019, 7123931], [51910878, 36451020], [78319229, 60301362], [63824925, 90130589], [5097406, 77592990], [25958597, 76229509], [93536841, 12860881], [90551109, 51369041], [95167243, 88323552], [70573264, 33649984], [3825930, 76165336], [44737607, 64024880], [89261472, 8836617], [6988705, 19885127], [4763113, 73514052], [89247597, 54482672], [67918962, 75355555], [14377652, 46443371], [81851017, 6714394], [60306713, 26903776], [44909485, 22468278], [83572604, 10512178], [40626589, 58261495], [37166078, 56414178], [25014751, 95085191], [39298683, 85697276], [1705710, 4462085], [85010991, 89991356], [51171079, 8850173], [84195094, 93405169], [18055592, 42264398], [51001517, 52076336], [81379690, 24410164], [21340717, 27758483], [60228424, 58955441], [72434260, 90534710], [1435592, 68508563], [45138300, 77080692], [80020214, 95951439], [44357951, 5567731], [65124368, 87716432], [77822202, 55739700], [73953229, 9207558], [29211371, 62498524], [5991811, 81800932], [64702216, 19435668], [14512503, 74148041], [5903546, 82949603], [26354246, 86430229], [26697377, 39243772], [78779614, 3472222], [14935618, 59128457], [3462909, 511747], [75442083, 58738275], [44972755, 37829081], [16920854, 17995349], [28716322, 58796764], [65345132, 41142856], [58299477, 61541993], [33445024, 64243046], [95926060, 82353195], [66431185, 51303061], [79422929, 26360832], [45391846, 17587792], [84758202, 14171903], [39120603, 71082855], [52326003, 69005737], [93080626, 77727962], [97828537, 50097749], [82897192, 97841151], [75839080, 55145372], [30548962, 56560110], [46571082, 45922406], [96488025, 34583741], [4915947, 74588224], [2060964, 92047465], [21009453, 66393807], [73053318, 45894663], [69645221, 50941131], [45017138, 96439630], [56865865, 75370248], [93243251, 4218929], [65816938, 26961420], [46185221, 9762350], [90543114, 40574814], [56274119, 6486864], [62975669, 85799179], [3207460, 64314008], [63552250, 57523847], [59804571, 38243651], [5665714, 67843448], [96684936, 97209124], [49587331, 63584018], [89578644, 40042051], [11405820, 7753631], [63643485, 61244583], [42579169, 63645962], [33386959, 69037072], [26036577, 33301337], [26936749, 16036440], [99963486, 2678314], [57631194, 83542527], [84135830, 40951652], [50314863, 57819429], [44815524, 52320269], [79543959, 56306466], [17159351, 11932409], [35193570, 53241918], [58929389, 55325349], [62269154, 10221168], [73779717, 63765800], [8283010, 978307], [76419552, 41940066], [56319575, 26548376], [51158917, 9791139], [6951074, 65504287], [35935355, 60501829], [85664161, 39106662], [5502641, 62906844], [65597135, 45901512], [41022067, 22982974], [21894135, 19055159], [87555273, 88764730], [73458414, 57245816], [75809313, 45582728], [20295727, 20817444], [19895359, 51094754], [45257345, 75275523], [70082477, 84804450], [84304493, 84786276], [99769628, 74945861], [92492164, 40850418], [75447863, 31510935], [4183711, 80819768], [86024018, 34145573], [41168243, 99699310], [64665228, 18606707], [75110942, 54932610], [8134316, 40506385], [33820530, 55182517], [9041044, 1900158], [17401798, 37043642], [65237871, 18498458], [77283526, 73158181], [45834075, 75306225], [22899019, 48895284], [31749180, 79620597], [89536996, 5970709], [25930823, 81618015], [87353535, 42025863], [61487964, 43061596], [28456553, 85043883], [8746802, 24551204], [79293394, 74908860], [43510805, 96110145], [70109654, 3071681], [14217948, 13233850], [8248965, 3617995], [13114480, 92067931], [49528177, 93203088], [28621845, 66164812], [24005815, 87425127], [70351855, 7534759], [14054957, 9998546], [36141404, 42457329], [65363211, 87709158], [52694874, 75198987], [70721523, 29015811], [27438777, 31857538], [62625565, 88724913], [86958180, 37152232], [44027559, 67052233], [17652484, 45833868], [22931903, 3222738], [62042375, 5104151], [47513476, 92636592], [16119888, 71612466], [81529968, 10495968], [81126474, 22597131], [39750306, 13256618], [29715009, 36087561], [99041024, 12858409], [56270801, 72953492], [88928442, 19344651], [5306318, 98219776], [96240483, 65758506], [91231685, 96043878], [9893997, 78277849], [2168396, 24904152], [40008128, 44805920], [84369072, 58834353], [99450306, 41309490], [9386277, 67898017], [21674418, 65983291], [37055204, 1661945], [38273662, 81173961], [47662237, 29230398], [73685643, 92211522], [67801779, 35973854], [31807320, 61381619], [80328461, 38633241], [84894024, 11499623], [56605004, 25504751], [27962502, 62165153], [68288817, 62048868], [95493630, 71828420], [47730902, 38800234], [12155218, 22830726], [71653205, 72638116], [67960424, 6911944], [99365335, 23924296], [22653352, 99084298], [65520864, 79051940], [17738589, 82122619], [3545254, 14005535], [12526939, 6729669], [22068017, 45824164], [76640917, 156473], [97652704, 13600182], [90728200, 12996443], [20308356, 83702410], [55956223, 24406474], [48873742, 85844690], [23300635, 51190669], [86361815, 68695234], [16927052, 9713390], [14310721, 89161815], [86778891, 29153093], [86332635, 72602261], [67545954, 86289797], [48464471, 86082255], [44573527, 34730150], [70932270, 14415891], [83977175, 76077438], [53219489, 23386282], [95061466, 95360696], [96282612, 17268513], [17691145, 63654920], [26595064, 98175284], [45592427, 16350752], [86813875, 53575479], [10994167, 71565141], [10137847, 57679912], [31240355, 13432907], [16446156, 92227336], [8853765, 57457687], [11023401, 14466357], [45276778, 23215992], [33554506, 11250312], [48479646, 80896281], [25648047, 95167038], [44227245, 3465589], [16416369, 66570706], [20709785, 27573471], [83021348, 86064486], [75695753, 99742044], [59684639, 31865112], [14346888, 15896293], [30004123, 56216736], [46245758, 11298135], [71914094, 92497668], [15535319, 99808799], [62338713, 87613622], [66404816, 6236775], [37163612, 71563711], [37161945, 13049019], [95836448, 99738721], [44053297, 92594018], [71222136, 79843020], [46723036, 50162077], [42428281, 71746509], [61807836, 64133466], [97067037, 9262720], [8817371, 56529385], [97770938, 49991640], [97589079, 97846301], [18687168, 28475464], [53576458, 56343259], [26479213, 40702318], [53660671, 52988699], [95937864, 15825245], [8873295, 90664629], [46191713, 62633434], [77553950, 97770193], [81445412, 73245846], [38986854, 84995071], [55566241, 40531310], [60884008, 41206558], [1349034, 51887469], [9116831, 66291816], [50307199, 11724122], [91116136, 69354650], [79196621, 81920297], [22535424, 60536894], [73866182, 37890985], [17415663, 69828711], [70241870, 2328139], [49521790, 67124702], [77002128, 43106284], [5344892, 62818094], [43068391, 59224899], [30891756, 49574560], [65021657, 17900757], [65234413, 44632715], [73249614, 81583247], [5534416, 83729572], [55845784, 96503303], [66901098, 25088753], [65675631, 96010525], [70108868, 23916298], [21974522, 23525909], [22011740, 73822790], [47855427, 22913070], [18096467, 86862405], [56949219, 4882892], [87954219, 99277018], [25416842, 69106961], [18816679, 17893301], [40935670, 71407230], [88604594, 32891641], [46901141, 92037584], [57214510, 50701222], [95961805, 95977733], [80947454, 10586569], [97101350, 13186275], [32897773, 86871111], [26469234, 4107519], [75458876, 30661265], [70455392, 59926454], [44011488, 28178088], [45934843, 16580572], [3612404, 59442151], [62564428, 65465275], [30250523, 49130995], [20905078, 41459864], [2061480, 25638320], [47987039, 34718803], [59082021, 34461197], [63710061, 37841969], [24900899, 57859421], [31753123, 65835788], [76047888, 45637198], [1447511, 60441230], [85465845, 77943895], [57751535, 30291507], [16542326, 73608183], [42219873, 54134781], [26889187, 63584072], [48603358, 81161803], [42897507, 6483805], [61097045, 93690700], [90919939, 62020910], [50995763, 71576787], [13553592, 28886520], [39686840, 36894733], [81353082, 33695574], [66524620, 969674], [60638127, 37678649], [71338976, 35361597], [73348425, 79280315], [36674442, 56904391], [46475142, 25591290], [99772533, 83538715], [79781796, 27096110], [13313320, 21207257], [9004378, 17068307], [44867937, 39988094], [90639793, 2551036], [61186940, 29835734], [51140684, 64216773], [3272971, 82456664], [18097605, 1061000], [24518625, 89076216], [12431368, 31549149], [59705649, 81887787], [51502342, 6893462], [6012535, 56382787], [15523546, 16081505], [16320009, 76280318], [17205740, 41719938], [74669232, 59016720], [86768566, 84406405], [86347047, 68124366], [86210447, 77444492], [63126354, 51055515], [42112392, 96325410], [11343699, 84522204], [97841253, 57158742], [24643085, 34345309], [18881033, 68674599], [88936913, 13727331], [14841761, 72061342], [32513371, 15356433], [24940253, 29508916], [86022825, 31329117], [55970193, 93507303], [93511934, 91442911], [45443990, 97678744], [77624251, 93672357], [5376772, 9240314], [70129907, 6691698], [94438471, 68450026], [19336183, 38083555], [96177134, 33929755], [50070215, 63580504], [23589060, 37271193], [34223217, 22130963], [40826671, 75680994], [41635849, 57058869], [50922686, 97957289], [74178805, 75558296], [27693397, 83941239], [1155654, 47955284], [22666729, 9762679], [59984393, 4161002], [89834556, 65052705], [2504033, 50674983], [5032937, 6321386], [2339841, 54506141], [17938338, 60180667], [4984409, 45603538], [8383497, 15043635], [83184744, 72813472], [73344256, 20881254], [61201880, 29057684], [41718540, 15056824], [56472663, 17888640], [5406333, 87175989], [15392562, 89408502], [33433237, 34972014], [22518430, 82072960], [51940050, 52551244], [64532950, 25103468], [42582588, 45362212], [79117619, 89330932], [35374374, 72108888], [61835567, 75422843], [38173903, 11860731], [74256188, 40839424], [40447564, 98293931], [27932883, 74673172], [78837366, 458046], [59161016, 92198166], [38171414, 13553501], [93371912, 37021636], [5027199, 30764482], [93735611, 20441560], [56674907, 2752773], [98683512, 57561286], [73972861, 80672866], [63950355, 49242883], [56867491, 9395370], [54453012, 62500511], [23670770, 24303262], [56931151, 32787776], [73795160, 5368723], [78121983, 50937434], [51832708, 65175924], [54244793, 47374212], [14097001, 25727477], [19002779, 31018928], [25696513, 97911780], [25995731, 8565416], [27560841, 53843819], [93734409, 51616922], [6620858, 37784966], [25886831, 69389582], [31859375, 61956759], [16680360, 85530074], [99397057, 40273344], [48677173, 47590426], [7744743, 50161027], [62444468, 96827910], [26071669, 10826479], [84968621, 27854575], [16343629, 49720182], [23610221, 19659923], [77594463, 18896124], [2243914, 34904218], [15585279, 44329027], [38248909, 74038185], [14949153, 52498793], [46406222, 17108506], [61626852, 39231562], [54450869, 75242123], [9143201, 17652611], [50869290, 13089758], [75397471, 45682668], [49056709, 84804650], [40383131, 34928265], [33499960, 8830975], [11007631, 37423405], [58709673, 35074123], [35620241, 23731533], [66558338, 959815], [61936761, 17403017], [55919439, 75129267], [56642079, 8342944], [1088658, 85814969], [18964250, 38409164], [2910770, 73655257], [72589629, 92697543], [22329776, 46580950], [65553540, 60148627], [86630936, 2605547], [70852924, 98280485], [48297495, 9384805], [15819507, 99264642], [65613229, 70226353], [42165923, 97293834], [13566695, 24145334], [63467145, 58531527], [38543042, 96727209], [87932345, 28559193], [27868379, 43225645], [32157338, 40772474], [72602891, 40428088], [88797038, 10818933], [11428448, 81868789], [51143359, 92917520], [38457341, 5214946], [70402998, 97142991], [65763542, 72292355], [90789008, 92780436], [1303604, 72755321], [22430325, 76052409], [7787771, 43911604], [9332053, 58030215], [5127622, 36818899], [7538092, 56796076], [69364720, 76141447], [14582342, 77022179], [15476742, 43418273], [30558272, 39827186], [62819824, 32706678], [43057181, 51533991], [7855902, 74916740], [4682931, 49080700], [55953010, 89467942], [54432601, 85641840], [34517247, 48350782], [96347929, 88890402], [15105801, 84727594], [21386087, 13843228], [87712129, 98958807], [42765305, 54256652], [26901212, 62631337], [52576059, 27218042], [71968337, 51914997], [97912425, 58675362], [46053813, 22435446], [34561349, 90197678], [49574194, 48906576], [8140101, 68316053], [88247764, 98727013], [98155771, 74965919], [98018980, 1003545], [52021764, 61115828], [30700779, 83670083], [55128866, 30427719], [2642100, 61526065], [44542717, 24337676], [6873856, 86782909], [79886026, 51562723], [5817535, 42831921], [68392503, 96227799], [86765444, 55601677], [36965654, 26065936], [37573897, 54236903], [11341431, 24819508], [80330032, 90669731], [64643686, 76059003], [29932969, 58936733], [64772110, 67675044], [25855173, 7039470], [57099285, 13147420], [40158405, 39701019], [61221765, 86520988], [4291336, 34404799], [18238309, 8537699], [96555542, 55915276], [55753743, 30745803], [67026657, 28044839], [25806806, 5385704], [41325400, 6213165], [76872360, 49073540], [54125505, 40987620], [29196710, 13255190], [13022726, 96038331], [85342516, 81618814], [1318452, 86609123], [18500327, 14099824], [12139569, 63451130], [58268593, 15975681], [63233937, 19054950], [81162859, 8036605], [46164896, 85891943], [49348699, 13332560], [55489141, 37683771], [48018262, 84688568], [97802800, 49670248], [62851914, 47067543], [95726278, 75484868], [68629080, 48766346], [26490211, 29841815], [36833711, 90835432], [43204183, 64444120], [92398000, 20269998], [45478979, 5518917], [59493581, 90717194], [66352036, 52482717], [6184414, 76439607], [96484561, 23833584], [39205886, 75786333], [88716722, 4010946], [59572949, 86254790], [74769662, 14126652], [77855682, 32984048], [70620505, 55734905], [61929301, 93881932], [59482954, 37312567], [45887513, 97233460], [46597346, 82114579], [81879798, 86325796], [48059054, 89698637], [19974334, 66927148], [55562463, 2246168], [45733446, 66289163], [41910933, 96723890], [22650523, 59746334], [69908787, 88711193], [8326550, 34963782], [61839468, 27671337], [76320400, 35260970], [28025013, 9609230], [38404364, 98749333], [66756872, 26932122], [92077924, 735737], [12428716, 215630], [11822786, 53024689], [86694647, 1303682], [46647422, 20437091], [86501321, 24850056], [24770549, 92411748], [57249172, 57517460], [89767580, 70123003], [81891557, 90030631], [50606368, 61117196], [80952973, 50960601], [40363439, 77850002], [44057843, 59241073], [27610352, 23452207], [32790287, 54190707], [22010965, 39982445], [37331303, 80760568], [7496686, 46162582], [7949097, 54865731], [54583785, 2844123], [42864736, 66955779], [61850768, 24632599], [57003038, 61443205], [38512960, 24277326], [42025368, 11232688], [63963672, 60245749], [32912514, 23603111], [77192984, 4393310], [7487151, 42905536], [6279591, 73881194], [59604065, 18579622], [68780442, 39947249], [92767244, 68087144], [95995247, 74911460], [48800934, 75349311], [2654014, 39543468], [58659279, 42277737], [17996861, 31935819], [12928097, 16210981], [80687513, 55967777], [52667986, 72960017], [92001176, 31418571], [7547223, 46753241], [81489830, 372731], [29345091, 75328763], [95560470, 89842747], [94786577, 5352233], [61799264, 3922956], [69700587, 48525998], [45484090, 81735483], [73658538, 29612711], [80928538, 86372366], [31279328, 11719768], [83920675, 98677619], [8206373, 55031690], [2756616, 48471295], [49584750, 46603101], [39030508, 11268588], [25397076, 72096839], [20249459, 72611966], [49099648, 93183525], [6585201, 35796691], [80852951, 21503793], [37966185, 54210760], [27991487, 98863970], [14758986, 64532104], [36982353, 72786981], [3284005, 52879191], [91694072, 46624671], [49724361, 5761215], [56672710, 71425903], [66787639, 63982016], [8201599, 50672491], [94568531, 63962669], [51311037, 99978417], [86097384, 75151514], [7751248, 67020620], [64304873, 41741539], [92493071, 71094957], [25369895, 64315423], [93549587, 88608773], [6901396, 1114107], [64637273, 25836314], [64039800, 1099809], [65749908, 15220674], [4263259, 71503275], [20727199, 58341538], [66798553, 88585226], [18727372, 146537], [22228114, 32998675], [45027092, 37501538], [68783116, 44901936], [15931241, 96100401], [9656132, 44689242], [67823665, 77213377], [20026666, 45795632], [72986609, 75174937], [41901198, 48734313], [97769231, 2949170], [53980137, 21415278], [22930705, 64007042], [77865255, 29841742], [16459625, 50372524], [96532031, 80950922], [98681681, 80917452], [95024358, 95708351], [93138278, 19999295], [70087700, 3273409], [86221641, 86438773], [40069119, 71924196], [26441221, 51274714], [1227263, 20834004], [39911302, 87901699], [21560932, 52464886], [73974911, 51027807], [36844688, 59086792], [90914385, 32939047], [47103300, 5714888], [30971131, 96470954], [71415949, 72246735], [94862310, 86064190], [30921186, 96917686], [84890846, 56544747], [18896517, 93141970], [87596917, 81933291], [44437474, 8507415], [88371270, 22066819], [27070667, 76655352], [1127279, 35767611], [51626443, 44101137], [31978762, 80049274], [80242726, 21344467], [37768149, 54924928], [92543814, 13577160], [90808172, 18432220], [39487719, 27778730], [48706835, 35260779], [81247788, 43434073], [4536801, 18749207], [2751735, 83747796], [78446749, 41386697], [64478973, 86557276], [68713944, 46895804], [97436566, 5455845], [11437180, 12214463], [83514893, 73939557], [54663675, 61510198], [43043145, 37501869], [75880930, 92585527], [62144278, 37279280], [69908904, 39754585], [93660372, 12670334], [93095786, 70781095], [56427487, 67878770], [61511197, 35389979], [19188583, 95945182], [80028363, 38887678], [10067213, 47177532], [17613580, 56895406], [28336081, 88044903], [57027775, 80453997], [56086450, 37534469], [96795345, 50302760], [24952786, 62552391], [54616151, 74046326], [88297056, 63595565], [73203930, 974320], [32528637, 32707780], [41917155, 49992314], [21950183, 21138606], [3812057, 87034296], [84903560, 41405835], [5995040, 77488745], [86832689, 24781906], [34128789, 6086224], [32179526, 72502957], [87847569, 95588099], [86361132, 20965253], [20080737, 79724071], [12996452, 31596382], [6562906, 50743455], [30727149, 87301879], [37869359, 53915207], [93424961, 91231394], [57902001, 31718954], [17652127, 27641644], [91989595, 54452266], [49742337, 48145159], [15185701, 19492825], [48018261, 91840666], [51947956, 21273084], [61126540, 13695999], [43031229, 24329213], [52723069, 64814164], [52550471, 56385454], [60956186, 42715420], [45147211, 28948835], [92332980, 68793710], [94309284, 46436110], [70655457, 90754300], [42891059, 77616874], [46180228, 23572344], [52608315, 87470244], [12634479, 85492669], [42920027, 42863797], [24589314, 93218502], [15421780, 75742747], [71737956, 38927125], [3869013, 86257944], [67283659, 90365966], [66070863, 55051473], [60102175, 29834440], [88288894, 75734131], [50718082, 23637324], [26709877, 37755926], [55545817, 2717823], [4532160, 27217106], [54286419, 55459963], [68833019, 7875679], [37009818, 69176029], [33645628, 86942010], [78985995, 78814185], [70366076, 86313148], [52011676, 39703962], [3834510, 40014300], [98089219, 94033545], [63783742, 98247308], [8587920, 48522735], [37803072, 96093585], [13830744, 444694], [66755227, 79081289], [55260227, 24572295], [1333449, 25910823], [79230574, 68806380], [99041266, 15952374], [34000933, 38329952], [892387, 6114601], [33761481, 32394151], [47894226, 12723804], [54173919, 5660202], [48508054, 10096582], [13998074, 29897842], [1577527, 82243416], [80601059, 17405491], [9378155, 56840650], [4221840, 4857754], [6984603, 86995439], [77726902, 74210207], [39218927, 916864], [59729025, 10056589], [86981025, 34742934], [84386911, 24264198], [7792457, 28280039], [88629054, 85504449], [1196128, 17786835], [38530508, 20960095], [4190482, 35540405], [34104606, 7266104], [59684506, 4968217], [72250969, 48946566], [62335079, 5589544], [68988078, 46535385], [67102172, 4536842], [89263709, 53318631], [85836166, 52957296], [39650553, 25883452], [28585239, 33135990], [13482289, 8937219], [65648432, 92531433], [26029766, 30198019], [49602023, 6043302], [49176733, 35864315], [95314635, 33538726], [49126698, 93034250], [54958748, 17251351], [54838510, 21330118], [4979506, 89116833], [13058661, 48192996], [65891007, 4533077], [60278547, 46127385], [71914414, 94712015], [21164706, 26238533], [78578810, 15031233], [34783965, 69944700], [46017440, 80501483], [41155806, 5907641], [89404514, 94845997], [2075114, 51186225], [79357754, 62425927], [63957832, 1239563], [72189463, 65757246], [98476459, 98456714], [58909549, 53217662], [98052086, 552330], [96189508, 28751903], [83758027, 75613496], [61148575, 36051844], [62248834, 40196241], [10129050, 27790965], [50496169, 55932112], [16186085, 95020201], [86841708, 49874452], [16438749, 78553070], [69444334, 37878628], [66109064, 91747094], [55987024, 74522959], [28879302, 72911327], [75662902, 6194964], [29976061, 37338170], [23930834, 76193773], [283970, 34237871], [36001996, 61417164], [34066023, 27200069], [82955258, 67986430], [72722754, 75732171], [3027932, 24134020], [92656563, 60769855], [30596994, 42908319], [44798232, 40322142], [46568432, 32961924], [29399487, 35908883], [36414998, 19114184], [21168912, 27651091], [35853346, 97997925], [82749537, 46405886], [90887944, 59695456], [94584457, 57094685], [34026892, 32397613], [3996360, 79676973], [21424778, 58797850], [46717522, 8645649], [54819903, 47601385], [49714617, 27506748], [68295366, 90032030], [99175505, 43204698], [64720312, 81370160], [28562186, 83558905], [79527708, 89810848], [23945155, 49928236], [62834647, 14238211], [52242845, 51031916], [20775635, 62514144], [45393646, 43424564], [20186765, 51496339], [26047030, 8748656], [70291291, 97360160], [61479856, 11921079], [43310936, 16028228], [49861929, 56048644], [33869570, 97288912], [90308768, 40182538], [77629152, 98348804], [10637383, 4475691], [19104072, 53062837], [20612663, 90174176], [26130188, 68837512], [18956005, 4126037], [8588818, 72607756], [91946606, 28722590], [99867837, 55081928], [897443, 25728338], [44205078, 53797820], [15984096, 59319531], [37031738, 29265876], [46009622, 10594839], [95082902, 91331600], [40209721, 20955746], [52766625, 37185827], [71124232, 83906481], [82449775, 88950818], [45283235, 32479312], [70655418, 66574702], [92726442, 76130161], [74869152, 98807485], [98318526, 37382398], [88435653, 69820648], [10328478, 11968017], [41272960, 16846933], [21171449, 34876523], [30118245, 30743864], [22197179, 89019377], [63875489, 81251823], [42402352, 69096172], [16692103, 5509656], [2654656, 53473793], [80739627, 55417137], [76116280, 27947360], [77378290, 52650067], [26057494, 41347202], [3046244, 37394170], [75957236, 15908101], [87152356, 49173612], [27958087, 79449335], [25934808, 62336253], [71389762, 63101047], [15571454, 71102775], [28487474, 71887395], [66616472, 37538574], [10219793, 17983581], [88621415, 43925952], [84797743, 92552868], [22343564, 8856186], [76162888, 10620401], [82124462, 30323172], [78813361, 80239393], [5697559, 84298908], [77081989, 55234202], [19355676, 50734640], [87515234, 26490463], [98135008, 37529085], [21854526, 93690226], [39276182, 12271865], [67795484, 76150901], [66741209, 20699621], [62628252, 34709288], [70045212, 14030038], [49835673, 64162420], [79581150, 45636046], [35654345, 79830818], [5503314, 81035833], [36303388, 1850630], [50168858, 15648843], [19969763, 28277343], [66861469, 23672559], [64261141, 39592170], [75053573, 33532153], [14411865, 3336752], [2792903, 97870135], [6179754, 78131315], [29273764, 23204701], [26836259, 55421630], [64405867, 55518476], [82459966, 40112318], [86190008, 10163480], [24711320, 30268429], [65685338, 5663752], [73679077, 41921928], [41304315, 23925026], [46841098, 89298578], [16402604, 54195088], [83412160, 24380129], [51710455, 91153027], [11702852, 13469708], [50253913, 33311829], [62566115, 6818191], [8846099, 34833948], [91846497, 43315501], [30764097, 46107440], [85205606, 18152426], [78924173, 55016902], [79800237, 98282778], [38428046, 46560634], [50389093, 7553810], [71554339, 37537645], [41092054, 24533652], [36048564, 72749923], [97101410, 6536364], [81725719, 7361002], [7098809, 12124943], [35120611, 26403713], [58328097, 76420994], [31915605, 42762594], [63162521, 66814080], [62682142, 29660370], [11448849, 32046676], [56737041, 85125574], [16293133, 19217881], [73967947, 81447541], [51497588, 39064388], [24395173, 78127969], [30849495, 3391403], [80087676, 81689493], [41782409, 81165197], [54025775, 83051816], [1986605, 24248478], [65243568, 42644243], [835755, 95352114], [64124145, 35436647], [96712041, 12296731], [24937671, 32193], [29304806, 65390402], [42096501, 49517272], [38152616, 54372111], [97470026, 89506993], [26476174, 18962261], [79909704, 79074832], [37111175, 3339085], [53752064, 28737348], [23975173, 26453863], [37597918, 34711499], [58416478, 90905050], [65894608, 96509703], [94784588, 18333836], [8558956, 47733679], [71862635, 82699839], [77990875, 62245013], [62266942, 41072983], [73696318, 62515334], [27617076, 38068603], [1031430, 88642650], [56819755, 28326408], [20061892, 79678558], [1099613, 26221214], [75485935, 4843048], [9712881, 96345432], [43505896, 20350297], [63540810, 71955027], [68107645, 51074690], [1581620, 6173641], [11904630, 29388189], [59327583, 54653488], [31178307, 78943335], [25567968, 10524006], [41819231, 86701676], [32159031, 47595942], [41469573, 26003656], [17810474, 81980632], [32218393, 77007530], [70344340, 63981125], [25936132, 95947422], [1287465, 82813815], [90860699, 81752060], [28389862, 24164650], [65169158, 96050257], [37014086, 41299307], [49161678, 40966184], [62784920, 67983192], [12769264, 79044997], [21056862, 35384416], [78696931, 51880830], [74129798, 94644463], [84214593, 86540000], [2855692, 46580447], [70439584, 66665446], [888827, 43592824], [50047656, 67029581], [91363147, 84559580], [42660994, 92527603], [32547888, 16729200], [28178303, 93256371], [77933808, 4962130], [37001038, 68196235], [80210562, 2941415], [12529589, 28345064], [63073784, 79492418], [75179668, 35849799], [6279126, 74182026], [67270839, 7083781], [66140442, 34395496], [10770782, 18004192], [93363657, 2784688], [13471336, 75179089], [42912944, 55199202], [86463037, 78921695], [99876897, 22467142], [23983774, 30097799], [52336174, 94154111], [42473857, 51998920], [92216435, 44920116], [1798514, 38569757], [52603512, 17937555], [58170833, 15440045], [18136707, 67246960], [51049201, 80027548], [21018515, 97104696], [56357376, 54325031], [81206613, 50108190], [81727981, 10298337], [69906647, 26219255], [77765321, 90305416], [67705899, 6744481], [90653071, 40848043], [205023, 57117132], [29625250, 52818318], [41919050, 13524326], [24711909, 20127059], [64848340, 91615501], [65751882, 35428190], [29945088, 44733031], [90895836, 29538094], [3486801, 70645381], [55264661, 17099749], [2241874, 82345772], [62590747, 5330859], [24543471, 14953708], [33291984, 12607417], [83135206, 59193217], [50590512, 58073365], [86132564, 77789774], [33247436, 40973477], [44285800, 35707065], [88195052, 74599940], [9312878, 62314285], [35534684, 23207862], [36506352, 64009940], [89283663, 33776132], [69420336, 89776040], [74753484, 27724366], [81592468, 76759680], [46637401, 98197322], [97888646, 18279976], [60483925, 31665301], [21808327, 84497889], [55381079, 97623517], [20920728, 50303890], [45615521, 94551004], [42729948, 16168419], [48768105, 41839704], [86342716, 48977072], [4691548, 45040185], [39546783, 20775704], [3237169, 97596073], [87512234, 98769259], [27316399, 91321765], [54447845, 84017769], [53393227, 10898077], [64390768, 59550689], [86003411, 78761591], [26892582, 35485307], [10205272, 18335051], [64029964, 33765544], [2725917, 46795029], [60440193, 99831823], [23743043, 77325472], [12858119, 58269674], [52165544, 91173145], [91984969, 58694951], [54610323, 53740100], [95805295, 12117473], [89523224, 4751895], [13538598, 34334355], [43184375, 19161120], [86389953, 24025054], [74660407, 2621441], [68121062, 93330513], [24190459, 17637331], [12915166, 25233991], [28732307, 66135510], [49654999, 27916372], [99883608, 7683086], [90322394, 28417425], [36535146, 48395592], [95142499, 90484846], [81120543, 56871087], [18129033, 4981159], [72502487, 50115585], [99372919, 95946199], [8484438, 86834649], [76334991, 31886650], [81932622, 84338104], [88009276, 99941309], [14581297, 11596682], [55921843, 44534778], [5105249, 92755998], [76426001, 8097697], [48659913, 7730763], [66190421, 63383315], [63593748, 74755946], [39461497, 95724788], [32862024, 30493241], [2935047, 9602155], [58955990, 90955680], [42965459, 39917391], [80966171, 62163063], [50056058, 88151683], [85332396, 43681179], [33523035, 66399528], [35537772, 94547722], [10146776, 48533452], [50823883, 27166340], [75934234, 66927539], [75614038, 92076099], [36232491, 47467461], [25297994, 85164309], [77818312, 557185], [85021858, 60929805], [54031604, 84829056], [5976636, 70985015], [79250835, 70151947], [2063725, 85007596], [59258744, 63329871], [26239064, 96258843], [33821677, 28320791], [9984576, 23309156], [23622226, 38700793], [48875846, 66986775], [57874560, 44291471], [72150518, 31504858], [97601285, 68206159], [18650460, 46928865], [86408121, 46900069], [4378247, 41844752], [96838010, 20955141], [54684342, 62266121], [2916340, 67702128], [85038217, 90128663], [11257574, 27090347], [16678403, 48939919], [54090442, 70398093], [22050347, 37399151], [39877713, 60901235], [95617264, 36912915], [96543194, 72290501], [7324044, 15968877], [68006437, 94123106], [19049770, 5288529], [78825861, 43741580], [44060518, 74569204], [79303794, 30245398], [42757941, 95370983], [40220843, 81101867], [55972796, 82759772], [29101562, 62610377], [41729480, 12053251], [23723232, 63668181], [44015109, 12892159], [74193257, 67393172], [85708027, 89607254], [11840660, 76181230], [44798058, 77202723], [44097718, 57564229], [38220203, 1314140], [91607943, 23702244], [49442961, 58058365], [48611224, 47772363], [27460762, 51975194], [82370970, 254133], [18710479, 11784865], [63204891, 77318306], [36683018, 46792777], [61483884, 12025124], [7944748, 23137623], [2030863, 31444327], [7878149, 57194281], [71183240, 88673794], [30673636, 56564764], [45691343, 44873502], [57434586, 93742484], [97426965, 79791731], [87682234, 81552066], [97583078, 72768232], [52135321, 30495365], [35006088, 13621472], [40469282, 54809469], [40142649, 31339557], [85273261, 2052807], [11631605, 16673983], [65074621, 52335910], [9121261, 47569304], [64335607, 61138441], [90676257, 27720343], [7819761, 64888277], [38381344, 83233278], [37954548, 62351557], [30410259, 17854574], [82686435, 99570857], [26272871, 37797360], [17031733, 40222167], [67744597, 82633763], [48752356, 59196152], [2006862, 7487093], [58530659, 43588783], [16215351, 28249580], [86419397, 13271017], [60909634, 55278970], [34299900, 59979239], [13767945, 86203899], [12847819, 91324151], [48053003, 42181571], [71380899, 76978149], [95607940, 3658533], [31326171, 48257692], [48139279, 43842821], [62287302, 32995631], [96899258, 64473807], [14355378, 76297813], [5724391, 84935726], [40307868, 85274780], [75417604, 7097403], [36593132, 97659609], [35932419, 45791185], [90212864, 96111622], [7750111, 62285427], [74004292, 18725876], [98944836, 52189430], [99260112, 11932042], [82359882, 34941047], [91500963, 5163665], [69310699, 22514665], [49087681, 64740282], [31474051, 54640618], [15495537, 99333049], [45316103, 80010974], [88540214, 25585413], [21742624, 2584936], [81973311, 63135302], [45952385, 82121813], [70607654, 89403383], [7248193, 80418032], [60264733, 28310878], [54303421, 24684948], [53599576, 19164915], [55392946, 81661743], [51625202, 53488881], [17403644, 63876524], [92705595, 34568387], [20390614, 49045774], [861755, 73788140], [39253367, 54183744], [962884, 52791732], [21900616, 27313025], [63602327, 53291085], [6000733, 19844170], [93634538, 60704527], [2965262, 45926775], [90786602, 16150501], [37982372, 95598474], [32097217, 19276681], [71261135, 92145325], [25775690, 8303208], [78839771, 51911402], [29946342, 89024316], [19008189, 57573098], [9857238, 81053658], [57013484, 63757792], [27748428, 17266498], [10982277, 68516184], [23630842, 31371132], [61061094, 23135047], [21859781, 99673877], [2355462, 44722953], [306050, 69840231], [47199279, 68221155], [95002170, 83977905], [61562527, 58049900], [95330809, 56508979], [29655960, 12473602], [51750447, 51705381], [28738778, 83347699], [24556622, 84498078], [27169833, 21879190], [50954526, 9396335], [53259967, 96223437], [73955667, 92893881], [20966421, 5217170], [9225141, 41406225], [79818934, 53399394], [35143271, 31890798], [42907733, 14972645], [74180301, 69583425], [47912338, 13148070], [61525815, 86693027], [49616266, 86143023], [42615362, 74738519], [18314975, 86175541], [8316532, 63363709], [87409815, 91404128], [62087706, 20178135], [13330718, 77482444], [32105881, 55788335], [30038857, 71645436], [76368404, 48406916], [74246909, 54672475], [14779535, 30868197], [57352837, 39976549], [73652669, 41774815], [84401815, 34877732], [51921479, 26218390], [13254272, 19842834], [4537207, 44911824], [71855419, 15068012], [14389199, 54248913], [79075956, 50978382], [58854031, 75221645], [24027369, 75893048], [29642664, 56765357], [75893864, 38930580], [28395023, 31092982], [55520472, 91914381], [88968243, 59739], [9835876, 59881245], [122859, 73333589], [78917601, 45946850], [3466378, 14483078], [69388201, 46493702], [68856731, 15864247], [15329146, 12896404], [216780, 49099381], [22635208, 60872107], [20015106, 31903484], [98978145, 25100180], [70180167, 80416661], [99619132, 15636027], [80416115, 98296085], [22194681, 25314159], [84290446, 9435775], [54027094, 88604311], [61653719, 63153739], [94942794, 2122083], [45349980, 60864460], [78796992, 69729825], [31287889, 25869975], [90844144, 30710658], [18327773, 6082261], [15246994, 8817077], [1438984, 78745645], [45371088, 25541080], [19939166, 7604197], [85488974, 30569484], [31212557, 8882218], [55076625, 77505906], [67092006, 85527102], [28177324, 47120194], [47800787, 62954378], [40764971, 20084783], [90142572, 21602463], [80978376, 6935436], [93336336, 30056418], [95962356, 33925037], [69665381, 17799576], [12622379, 81581220], [13508207, 29730674], [78034874, 46652786], [50422460, 89321782], [46019460, 21012925], [13236819, 69421605], [10037983, 78161836], [17659542, 66369690], [33678408, 69934962], [28178178, 70432635], [90101649, 98219271], [52744615, 19191751], [40264290, 63831375], [12870062, 40294139], [27512323, 31252100], [60719298, 87627162], [762008, 81459299], [10285647, 52321449], [47748166, 72078921], [93563241, 23072870], [46987655, 12501873], [23870108, 92702692], [83699820, 67329600], [19365849, 67525348], [3189685, 31198689], [3565074, 98107272], [95608850, 78116413], [95002344, 95851363], [60652590, 65031358], [13566618, 15207207], [84723729, 83242693], [2799590, 14646851], [49473603, 6646517], [81024644, 75685939], [28560073, 92039826], [61792522, 72220368], [41044359, 75937633], [13178912, 74809050], [98396081, 89018891], [94266278, 71611714], [95181391, 88208209], [42112920, 68275075], [46339889, 7229270], [21960512, 49406454], [70360181, 89591417], [51015643, 36143799], [23184644, 18966420], [72985610, 10023114], [60776940, 17336904], [50873117, 97728373], [1245490, 66930856], [9254725, 63986843], [76208106, 3421895], [33783456, 98640027], [26755599, 11140148], [46315884, 23936996], [95902875, 11560020], [1236201, 60532705], [91396797, 84689531], [36087438, 95659537], [38587216, 64921883], [64963165, 64922023], [95235394, 49513623], [84296899, 20448348], [86317454, 96516299], [8322793, 62449460], [55704332, 56640196], [93416410, 94661663], [21882073, 9287264], [37066818, 64689407], [75764303, 64758147], [10280034, 81876711], [77809121, 44545381], [48725393, 98313110], [9634695, 81842367], [68139798, 54477270], [82955152, 44959529], [71880299, 94266135], [48168522, 31267501], [46645343, 37112121], [8786769, 86749233], [32483236, 69180708], [97915331, 39256364], [48568705, 52871590], [4122768, 69394563], [72161140, 8596834], [68257492, 78575734], [55508468, 39517633], [43152662, 19447930], [40641636, 88510171], [50193231, 61261945], [95383096, 85877212], [94313298, 52505878], [17714234, 71792291], [47063474, 53810957], [90482837, 64601474], [74338093, 34154140], [55201928, 31243956], [50630750, 13054423], [19695867, 55099455], [52334473, 88953470], [92779924, 97964402], [49020414, 90671041], [81942520, 90662046], [86825204, 47405252], [89761020, 92332500], [99629325, 76181642], [41748045, 13850621], [50241441, 21787701], [74544478, 5127428], [6954457, 43290702], [97873037, 26723260], [79530163, 67376839], [79012252, 92643906], [51393485, 83262619], [14782827, 67442228], [846937, 68214874], [7031051, 31176737], [71926748, 75140029], [19086566, 87961160], [98780341, 42553077], [22292732, 14153694], [27376458, 58049471], [55976102, 45871905], [96615475, 29656933], [99877428, 27605447], [53614718, 10398512], [32568462, 34301460], [77700409, 51091200], [22891476, 90721241], [27162048, 50749785], [20381652, 4598897], [25021103, 12098762], [30886550, 21462624], [36475703, 56161774], [33998169, 58447444], [13192730, 9993413], [69293397, 28056843], [6054582, 64280047], [95045467, 64922474], [2471509, 21610702], [39663455, 36711097], [77718918, 85480547], [28560771, 27272991], [39509511, 30457186], [68764537, 54844707], [10678664, 85789657], [17979456, 27313692], [8628011, 30708739], [25793707, 30690796], [16198683, 35701930], [73079519, 86350662], [83289798, 21063529], [46689160, 14866557], [81016198, 56322413], [95737161, 23583794], [86619968, 92123668], [91521949, 28607118], [30084099, 31229064], [81774497, 319984], [22938844, 59802297], [96421975, 76377178], [87809928, 25734794], [7622515, 42533038], [86103568, 17487777], [92726455, 30310834], [44135631, 42232556], [95571306, 35011326], [60553034, 36790267], [4691803, 16556788], [44569355, 79128589], [58749422, 18254487], [78359056, 12943950], [43640563, 63497054], [63443457, 46573918], [66328346, 50174588], [30069543, 55085978], [90394130, 1997170], [33968697, 42803953], [93057354, 3814139], [39372994, 13266762], [89920737, 44425535], [95060407, 2839894], [47223396, 19646860], [91706091, 37140689], [29376177, 61598037], [59171991, 48719064], [4959239, 10360643], [74642299, 35028782], [86832197, 8623933], [73692795, 30958299], [66218821, 61460580], [69796683, 51289120], [95962622, 5458931], [89030337, 90877257], [56456289, 85305693], [98943745, 96481621], [28673936, 80622964], [61234743, 41955930], [93665634, 33719647], [23591165, 85968426], [74976337, 3188232], [16066575, 86470571], [42407828, 7077963], [7577196, 22014902], [64658922, 25531717], [14468155, 44100818], [29402126, 97197232], [30936715, 58970889], [2282021, 38772233], [53593063, 89407653], [76680962, 52887794], [30867017, 49474083], [4690493, 5745296], [56370349, 45427124], [58335012, 89200476], [70249319, 75453538], [28817951, 74864453], [73199976, 42726594], [77650562, 25630424], [68294844, 66671833], [9016332, 44351336], [67828695, 55308809], [24124744, 66248612], [94664531, 31330279], [24145221, 81749663], [20078908, 87063161], [17096749, 83895137], [43459966, 36913724], [65574715, 91810081], [54521778, 47072794], [90412871, 66501707], [14678056, 42997526], [67751386, 49572687], [87284489, 85426143], [79081322, 53931007], [42992499, 75638953], [58248978, 70891475], [39558709, 80287201], [97664129, 54487045], [84032706, 99703703], [50187815, 43345519], [92051033, 22277199], [33743325, 17068887], [34675314, 92962904], [75702528, 64700427], [66069732, 31900844], [99710372, 87525494], [39686878, 69463497], [35818200, 26697641], [48616629, 65825997], [49002483, 9485867], [46896659, 25515896], [1688396, 48547166], [52116141, 72622504], [98831103, 72947512], [66555416, 14496270], [38464070, 17838724], [23301903, 13014464], [2240085, 70660761], [18743685, 18592773], [56193208, 63247570], [99164101, 32980409], [24497127, 91160108], [84791473, 80208141], [86537878, 61046474], [86830700, 40459872], [92798633, 93518385], [16042122, 67499136], [25176357, 89979284], [13034294, 34535574], [3702723, 65696506], [98827690, 93312745], [31448019, 9334813], [26280662, 25202532], [64293233, 46039753], [69634124, 65187032], [42039828, 36896424], [98098064, 7759534], [49548286, 15797828], [66540736, 40232869], [86631632, 1473009], [49646435, 12622400], [53172533, 34304784], [26348911, 79142309], [65557890, 43307829], [21160284, 87136021], [26648889, 26335680], [62538507, 10945194], [69971240, 53243765], [31439859, 72820025], [50983795, 63017857], [50280712, 48414639], [12605819, 5300558], [36469307, 10726528], [7741942, 28796179], [96321608, 34045020], [22400073, 30573935], [21201360, 8709436], [1073857, 94575006], [39264862, 76081678], [73691994, 38807532], [58889336, 35999556], [60670126, 62310575], [63883876, 15615233], [45735301, 61781959], [40289470, 4632485], [35922644, 55873041], [15003828, 48475908], [76429471, 24224744], [10731150, 73543338], [25409865, 58559176], [62914097, 41333775], [48777289, 5896880], [87477915, 87693538], [38363027, 2286055], [68051562, 28419930], [52794113, 82555573], [85923345, 14774846], [64583801, 90290684], [35573243, 37539764], [1691294, 60201630], [7516801, 19456995], [66119359, 31177888], [25183954, 91955721], [74148160, 99830776], [67046069, 8673415], [27290384, 21004475], [89872333, 50801418], [74368446, 52535840], [80326189, 42858573], [11881013, 90101535], [70671415, 58339113], [20646548, 91196911], [51394603, 33259856], [84645148, 47544459], [53865963, 82019301], [76295526, 83825557], [74818198, 60183118], [26840298, 70831158], [89500188, 3270690], [55232876, 12338323], [52292060, 85780425], [98250038, 38126373], [78993881, 50545014], [30193668, 82018815], [7269812, 24513026], [26785549, 67552826], [10679645, 34922352], [96722426, 55099912], [8100712, 68565338], [26305260, 26233814], [63009585, 73519149], [33516535, 29253206], [44370311, 11708625], [81968766, 84581329], [46584641, 10718116], [10602183, 48669407], [48276882, 50588938], [46469703, 35024091], [94765266, 20769882], [32629833, 78909138], [51959395, 30590003], [30771232, 32802605], [54208637, 56285527], [40356046, 898547], [82562998, 52862251], [83625972, 34451997], [37190744, 78233416], [51162440, 72521372], [78463707, 63401165], [604648, 61137291], [47781871, 15452514], [8713544, 25640270], [70680191, 5374574], [41393855, 73939312], [58864337, 88373339], [1841310, 58945416], [59078766, 62234650], [26601192, 39025369], [77069629, 73407440], [73670468, 89180251], [50442767, 42229017], [26547620, 1411167], [74890308, 14032617], [13131659, 13382822], [46343941, 23731669], [64352688, 9580843], [78010878, 87744930], [47451729, 70710926], [40895637, 58760776], [15062117, 36681938], [50172048, 66159700], [17130796, 37256719], [46941516, 50040376], [75370794, 2607371], [31569745, 21051028], [63629917, 80986989], [63023195, 36519506], [79363512, 57722933], [69352192, 47999797], [76783533, 52057783], [89476348, 24516440], [1183123, 44821278], [4834734, 16695278], [47889095, 30209638], [70133412, 21627785], [98300056, 41174888], [40538267, 34342478], [89302923, 40821791], [2251218, 10048051], [43846463, 13260243], [68867368, 46484171], [25117290, 6919019], [46306579, 11686124], [7244608, 76620585], [86461284, 57883722], [65785766, 37120277], [25187174, 90479224], [28886844, 93727901], [40926115, 27576764], [85910943, 48319327], [44319123, 20628301], [87894594, 23745507], [95184400, 69806959], [48872325, 68029799], [59803439, 55376916], [62577738, 79649982], [23246588, 44771410], [69107687, 23210109], [97105639, 68470124], [55257755, 65236589], [37780066, 76995212], [9095191, 76611988], [76028316, 47631793], [55486850, 81980685], [52255985, 97007868], [47491508, 5696416], [17482777, 73165394], [52879510, 18526042], [99679960, 48391477], [29986813, 71766945], [63067591, 97576320], [77651517, 22443558], [62502739, 25856725], [78953449, 64984052], [84608138, 13868875], [14079510, 31638162], [2487908, 89598433], [67965366, 45485796], [91055411, 3894420], [86288543, 72580853], [4219518, 67309034], [9537470, 17093006], [69230946, 64905685], [86874716, 15998357], [3830592, 22016372], [88450451, 88701918], [15340001, 22546013], [27246200, 4579510], [3168986, 53549628], [81394267, 5523906], [44557711, 81359068], [24493697, 59931922], [81850332, 71194765], [24862975, 17984987], [73462032, 38388532], [67195021, 42782738], [28173286, 49130740], [20888555, 23775592], [66719300, 97321180], [76667547, 77604195], [30449057, 42859535], [21174487, 32638168], [16601271, 73679248], [12793655, 48689540], [19770660, 76075922], [10498526, 46800927], [91059049, 34235510], [67221609, 40220280], [80998907, 39865053], [18998370, 12319088], [63152153, 55300952], [30321204, 79808604], [91493748, 30994112], [54186080, 36809226], [8252461, 15938058], [53322671, 89045518], [7517569, 25432705], [72077084, 70473214], [33408603, 28294785], [74808200, 7195136], [46186173, 8862986], [66642975, 62202374], [84300584, 84368308], [87766169, 55090184], [16905440, 2317495], [86851357, 65617109], [76223554, 19449503], [56272745, 68744053], [10715152, 17665042], [81712810, 80506316], [27255400, 8768469], [28130729, 82276242], [75678316, 2912255], [60747435, 7428350], [20670510, 25294592], [54543559, 71563274], [87648738, 56091218], [3900997, 82464656], [49065197, 83413166], [68569727, 16277061], [74220686, 53534101], [96786088, 49618639], [85869125, 8953588], [62272109, 49805274], [65646017, 98706569], [95154977, 33982267], [69653991, 40493016], [73417205, 71704280], [80463098, 17740029], [92021725, 12389925], [70281454, 73637667], [82058478, 91706336], [67620449, 81503424], [37759789, 70595278], [49600539, 90372503], [61964243, 7697936], [39385946, 59035771], [81750809, 69727473], [40716418, 19607458], [85188226, 98725474], [31109086, 92548884], [73214489, 90034057], [68343469, 14288815], [75966513, 91048812], [99932946, 91977283], [62700828, 65941686], [91048298, 63744237], [19870091, 27253], [78284568, 98095537], [20661410, 97972248], [2824139, 34566696], [33784581, 83025964], [47526874, 27940629], [28032326, 10718588], [79544934, 65499248], [43433101, 77646216], [32515431, 32854609], [97858338, 55607087], [13684133, 1505693], [72555561, 54650583], [50160742, 59770888], [33430327, 94893894], [68545545, 23644177], [10147278, 6369977], [24669507, 40546650], [7789506, 38205322], [72247811, 36372990], [84682838, 97797921], [83089552, 31748179], [87907227, 81549], [24155425, 33302920], [87200661, 67013103], [73405520, 54014091], [5625353, 32684260], [32788589, 60410866], [43163825, 79988091], [31594466, 55285900], [3605457, 90604455], [67265492, 81094600], [46124798, 55811205], [1577722, 85276132], [62335410, 79225942], [85348414, 79807292], [11650324, 98124762], [85725341, 7022473], [4221272, 5444274], [79088982, 92893375], [76191092, 6858564], [18187066, 88468795], [78723394, 73979850], [32119754, 79272646], [64310591, 66069997], [20406280, 50317027], [68622272, 44940756], [21983177, 81233211], [41973019, 35744423], [92651804, 32540168], [13415934, 40858650], [8231130, 31819812], [57401889, 54870646], [89193302, 42981756], [80252818, 30846061], [62234213, 79534507], [17338055, 40154452], [72299256, 79672906], [85510668, 9506656], [79872344, 38244117], [41190951, 41148251], [68031354, 29203324], [18681683, 37382826], [76563507, 11030764], [35459656, 91124613], [65303015, 95892781], [51661829, 82739273], [96238249, 98792772], [99853802, 90799772], [35537889, 50033450], [61343274, 67303704], [28210476, 95469217], [28569825, 42937860], [1950277, 70986417], [69016901, 40010050], [82386071, 76451344], [61049387, 39541539], [62475484, 57867601], [19744321, 57924828], [2829394, 79978912], [82615971, 66253096], [77937539, 17480485], [4625061, 31787357], [77235066, 26305087], [63026867, 45999858], [7842953, 31790014], [55937610, 94845434], [49088094, 22113477], [43449138, 32088737], [98631259, 2483908], [91260624, 83591970], [168579, 2645130], [42615079, 35374951], [13987475, 5286297], [7272799, 56620787], [38209398, 6067332], [24221455, 80487264], [947432, 27900672], [75325317, 64208596], [54158808, 55985767], [22240400, 83008952], [91866790, 47419822], [44742719, 66007528], [18806636, 91366648], [41831779, 18321836], [77634569, 22632134], [97975368, 45408066], [56342324, 76175658], [64551703, 59947424], [90355782, 75084125], [14542775, 37841933], [62520897, 63729052], [33104241, 27983857], [71889427, 50189592], [96302697, 76369574], [98017350, 92997974], [31458467, 55453418], [24297983, 73891020], [25042926, 56529638], [178934, 36928844], [16851948, 56446435], [35443227, 52619991], [82351631, 95930210], [5263046, 19556408], [70796578, 2117403], [17787491, 59922268], [43811023, 32365854], [50179079, 64568968], [68513334, 52443066], [93745912, 24285325], [49145795, 35032570], [51579276, 71938133], [49304293, 64810275], [20579319, 66700512], [57119846, 41690079], [13137608, 70358804], [29671842, 47097320], [73784199, 74431380], [9641758, 91772611], [77291770, 26584679], [85470261, 57459610], [90629200, 62338055], [38537039, 26358228], [28327541, 19850879], [44228485, 12922297], [82789724, 82753227], [65486451, 94616313], [11723626, 82205209], [43794261, 62238200], [12531305, 76495652], [56677015, 30697877], [76306198, 94687445], [74060365, 18714968], [30976079, 5068448], [1623975, 16210660], [87529919, 75754528], [86010214, 99679640], [16535952, 18436426], [38805612, 97220852], [41356821, 90535065], [78925899, 54300], [52740461, 11586657], [62829673, 11659627], [53353550, 96275221], [32730292, 12254494], [46272301, 42277864], [98748142, 16486674], [86323034, 37649701], [45608298, 83057669], [90221167, 39494012], [12181070, 29483698], [27396948, 47353314], [71993673, 52491363], [38799796, 16038146], [11090079, 42195524], [33289786, 39809480], [37255621, 59758230], [28970311, 97898524], [79779397, 22540625], [93975623, 29617814], [91098708, 68905203], [56014993, 17148789], [88635785, 17686691], [13960224, 48794422], [6621946, 1877497], [36259157, 94676878], [82245887, 68676290], [72077542, 65251702], [40849474, 32810428], [94785241, 34694624], [53521277, 56688828], [70307456, 38562519], [76524712, 4439707], [9376719, 31160808], [51609945, 70648345], [36627889, 9091282], [52241155, 36593528], [70509690, 72547782], [10113827, 22806043], [62063856, 71611676], [92149804, 61453908], [2303051, 24777805], [14827527, 54705456], [58014865, 79806780], [7516270, 34845981], [94060718, 52806305], [32018633, 49390106], [73101573, 13615521], [58275, 17128295], [28933283, 64938859], [62863070, 22298603], [89421898, 52034430], [44726778, 28083202], [38381295, 72799409], [47741095, 38279101], [64598632, 28328270], [40498592, 20408765], [70055883, 41171953], [88382046, 75643655], [92998158, 18139473], [13479471, 60264492], [17588365, 2335249], [13262358, 40055121], [72494595, 83732428], [25862895, 35768177], [63299693, 61781148], [21996737, 92346472], [53702861, 19362963], [46997133, 81483118], [55912279, 78743790], [55595707, 35612127], [45160703, 43123917], [67657966, 99463410], [91051143, 33501156], [88385059, 42569267], [21831649, 61580117], [72411090, 4898697], [82436656, 73078777], [35730995, 73466485], [83989644, 15208000], [32660434, 3486959], [58856256, 80997583], [79691754, 96442899], [87946747, 8927075], [206829, 77518332], [56803033, 38811284], [12012860, 37858655], [41526587, 26746563], [69785201, 72433090], [23022031, 84748828], [86727949, 92470378], [81840140, 71250711], [98566596, 2168158], [32741534, 29562756], [97995245, 183278], [24268656, 70467888], [74965888, 5000478], [19654330, 77911737], [45956898, 46939774], [80391650, 67813236], [87695560, 96740285], [34553653, 86416077], [70972626, 73089934], [53754714, 22479412], [389681, 65042611], [73046954, 14364599], [62582570, 56460011], [6030224, 35871237], [85947248, 97057251], [42247776, 61075071], [7559706, 12319116], [28539809, 1470877], [73372665, 50202031], [45665279, 7948358], [14640529, 9927897], [57147074, 86109182], [46747818, 84241482], [10105786, 4395615], [17873182, 22209533], [37580409, 10941737], [76273065, 56491735], [74196245, 71917502], [81513239, 74859112], [69775249, 82568838], [80253336, 99088685], [86162975, 91613214], [84284772, 39869246], [83999718, 76369353], [79449948, 99836245], [94147211, 99973356], [73098368, 78028766], [63593959, 56468344], [1769759, 44211096], [29626363, 94020529], [63390372, 66323315], [83310013, 32216387], [15248822, 632351], [10332141, 69237226], [59048997, 36189690], [18355884, 36946084], [37500749, 59673174], [77704967, 82169122], [25855040, 62311490], [20797732, 45602687], [69589594, 28993977], [71683035, 28845106], [54976167, 51102821], [1094060, 2942923], [89541118, 17751967], [23369293, 10838444], [66011218, 69905937], [30052150, 76804150], [19854285, 45030248], [75199278, 20996472], [82674986, 69489493], [19446457, 63094708], [79699591, 72550174], [58193707, 63454984], [85089205, 5479852], [76670776, 36719997], [3492045, 47405625], [24443510, 86753782], [53571479, 70872266], [91368960, 11122793], [83358662, 76240642], [48247502, 99554123], [13469691, 75436265], [39170274, 24726362], [52973797, 53010948], [4515865, 39103351], [78553933, 69253211], [2428837, 88857868], [17467270, 91548349], [1857341, 18027467], [2638035, 16004301], [608113, 31271013], [28762352, 19513713], [83185643, 51702441], [35205564, 82118766], [58934986, 70403063], [26558542, 25715441], [11197651, 53615004], [90889150, 92751863], [58973611, 18551365], [88547251, 10045311], [68203283, 19499676], [55852664, 12957284], [93966804, 19979266], [57378802, 42360557], [17628701, 11755316], [18479705, 19449437], [5155551, 26192022], [2970782, 72976607], [1516695, 21088543], [16211105, 42944984], [38206803, 35526580], [61681367, 87365498], [75156634, 27558789], [28058096, 65637587], [90547231, 83605537], [90233845, 81633967], [91408111, 16683407], [60845293, 4132393], [33925290, 87528835], [77238583, 93687646], [94903877, 59816714], [11582414, 32001264], [33867521, 44184659], [57488238, 54386069], [77184948, 20244468], [2720, 30613916], [85461659, 32552034], [10277194, 54960512], [95625522, 23746584], [5977111, 62835772], [34902168, 70640285], [26230699, 21540359], [8388405, 58932343], [641077, 97736711], [81083471, 41720550], [77448666, 17723861], [69736839, 62975205], [16384610, 40705048], [14107271, 53746380], [65272530, 79923421], [81226793, 29540972], [57414005, 53504323], [17202264, 45662964], [29697449, 95019172], [22335059, 60599271], [76961247, 53998749], [68126727, 87315285], [74377129, 88203972], [95357706, 11878666], [70213051, 26545524], [58102414, 84410824], [58628859, 60848255], [80272275, 83769666], [85852175, 25030464], [6320977, 66143301], [70318246, 68911155], [50850683, 50279719], [49063474, 39061141], [87343390, 22145876], [86382236, 33709983], [27534018, 65278958], [51070650, 12841389], [17754729, 77444939], [21987866, 75242399], [90549689, 36161430], [2001213, 6128107], [79625823, 29211677], [90805750, 23660947], [98484888, 2207846], [50403032, 29832715], [83857195, 45794838], [20388591, 84624410], [76282505, 12472824], [42449767, 69772982], [62919764, 55920884], [67771342, 72328398], [31342451, 76362760], [70912575, 85970172], [64581444, 70800824], [814474, 92231284], [48494784, 20231112], [3536863, 89400902], [20551897, 68700871], [74595195, 45951662], [55778435, 36535792], [746506, 89648133], [79935394, 12492455], [20691816, 3807124], [83088450, 37168024], [3677831, 14833528], [44466747, 93329927], [82246958, 81793530], [56431894, 58721278], [14088191, 9389105], [17376487, 1989779], [8044591, 63046613], [80355303, 2089974], [18631268, 72110438], [10260088, 75595831], [69980634, 43659175], [67792478, 48117007], [65629679, 56440938], [62274637, 51406647], [50098660, 93501794], [45139360, 34979591], [25514687, 17132973], [14258746, 16178190], [47849722, 26940900], [49705450, 44399163], [59077153, 8611595], [95850245, 74449032], [50145113, 12234100], [78044966, 52997316], [18324113, 79873651], [96923736, 85578853], [14679261, 46609264], [93713277, 17332380], [31880719, 33377196], [47648646, 88451575], [99562743, 74271059], [22968826, 45853210], [32258720, 62538766], [99238923, 85458476], [21613722, 26721299], [52355263, 23552476], [38226777, 26059398], [57455081, 17331873], [43109312, 48622410], [81535603, 6014176], [32685882, 91852304], [81303008, 22442024], [53644856, 60857596], [422895, 42925870], [38092340, 86809798], [5136631, 48837282], [58724341, 48523061], [65117116, 79631693], [34046957, 74275308], [60151806, 59568203], [28404191, 8429304], [31060410, 98937403], [54510559, 17609754], [69394865, 85972524], [40974634, 9874182], [19246123, 72004212], [88802947, 5426018], [50099616, 47339907], [91674628, 30062508], [1628608, 76865649], [66724167, 42324170], [99835212, 17576870], [21810786, 12793961], [15830847, 67440558], [93876096, 45653385], [78772530, 83989688], [96728490, 30852382], [31847710, 22764611], [94935580, 23165906], [83639526, 21363162], [13103073, 3832872], [19108745, 45229423], [37596731, 75597489], [9785423, 90095573], [61242088, 83008179], [64347363, 25928391], [76824266, 10264618], [1382210, 99486538], [42667013, 70960074], [55323894, 74208216], [17329797, 22100293], [49593198, 48159908], [65374433, 89158493], [57066556, 38934170], [19138743, 95671319], [64515829, 68695528], [94811327, 97920896], [50585288, 94282307], [87461020, 80934871], [2514073, 22255957], [59353917, 93173058], [21278493, 68992027], [33260935, 18121305], [27139354, 87001722], [29625347, 68363767], [35778175, 4433169], [87345252, 94943356], [39983207, 99082313], [34493896, 87969323], [76158304, 75687935], [95276553, 70476694], [69979018, 76205186], [72727127, 85335410], [98893495, 58569149], [85493900, 19582995], [87402700, 86614784], [62993812, 45835699], [17716533, 40790425], [60872261, 53187736], [82795012, 12325941], [60677295, 71766558], [49702744, 64700520], [27706670, 12198709], [90461850, 74765279], [74989579, 22800736], [26008647, 83200711], [10483102, 88237053], [55256388, 38845598], [23542275, 73017520], [32699704, 3934154], [15678809, 8380148], [98453833, 48702512], [87603127, 58579158], [81560758, 54359382], [19949120, 69520000], [43390277, 78439475], [34105937, 83239544], [60986465, 46176426], [46351561, 60244999], [35505319, 52771163], [69020980, 70407105], [44985367, 84335410], [11033221, 87824409], [80605976, 71149327], [92127419, 90017497], [30928461, 25986235], [28612417, 38332682], [34520004, 9592256], [17995259, 65367805], [54220821, 79973504], [95767576, 71564481], [49533140, 65981431], [17207057, 55774718], [37484091, 36791626], [98971408, 8735585], [59365820, 72168541], [20453283, 90825365], [39579715, 38132640], [68297437, 26396110], [19462591, 36334426], [22411634, 1962833], [25952930, 13341424], [98175655, 98967607], [55995620, 99659135], [62008557, 57645350], [34029443, 94553931], [2756752, 70610191], [71857152, 58574390], [19977355, 79739932], [86744977, 62646942], [48780935, 5041967], [18008644, 7144304], [12602230, 42198692], [13754678, 10467516], [83321137, 3992940], [5077036, 40162316], [6069551, 83952097], [29142902, 410652], [34322757, 92667952], [83430559, 55253871], [77813800, 60380624], [93948295, 87682139], [55396795, 44744426], [72435674, 68644293], [68739054, 54392391], [51567836, 23200029], [93526310, 15727605], [54780566, 19621487], [11540772, 46114439], [97417649, 62103401], [86212730, 36973626], [50249540, 9396562], [21218945, 65529173], [40674712, 60473327], [44428087, 94823351], [35966053, 72175090], [92927423, 18775070], [71299134, 91318375], [81174329, 61670194], [3910684, 31493433], [14891027, 91706603], [28712569, 59423681], [6080000, 63053102], [70147583, 85816904], [40449361, 43924026], [92588196, 95297376], [37653172, 6305866], [9049869, 88597853], [56581713, 42287671], [65885281, 52010798], [43756023, 7050030], [60930521, 79413200], [63735570, 97701811], [45517115, 52923433], [82077347, 46738893], [23199250, 2801416], [50668059, 30825354], [52946518, 20378306], [28624912, 18556339], [42175286, 24757054], [57596914, 80675824], [46198992, 12682646], [72646050, 2992754], [50042933, 45717713], [7861808, 18881381], [18916307, 41025936], [95501758, 51285359], [29531369, 29803672], [95619813, 9245661], [7437209, 3821816], [47826901, 45106162], [46279384, 63048861], [40484301, 98449948], [3972998, 32110887], [21130344, 74533417], [84124432, 7856965], [14216031, 64320163], [57384813, 33887018], [53744387, 51351879], [43192895, 54897257], [6113607, 22279306], [59270213, 34165544], [10585150, 29991889], [78181293, 29396895], [34013323, 75752898], [35813587, 14326706], [56458120, 8626763], [77731275, 26837065], [91899915, 59817396], [98037131, 98237296], [40380141, 32896147], [52165503, 70838488], [47583954, 9513021], [49871507, 59831660], [38745326, 61167816], [10446678, 65131086], [91391412, 67870389], [46307128, 82759341], [59700135, 86677636], [38041074, 91707834], [46227685, 32216663], [40721166, 53440770], [2571351, 62360506], [91872861, 1769997], [40014081, 75109692], [27834542, 93740205], [55519028, 83702846], [1792026, 76315377], [15839576, 71890776], [33502199, 52373012], [18425136, 11455620], [51046095, 22486074], [81717982, 13623553], [13089882, 77457486], [39217290, 39298687], [16586565, 8994173], [52694935, 45988991], [47389184, 36234070], [55152240, 4967098], [3663833, 82504715], [32051694, 16156898], [68204802, 53804161], [44974158, 51186201], [69063113, 78395205], [36860399, 69824615], [85153212, 51139164], [55919928, 6712855], [24564788, 79339350], [71057609, 47743306], [8574315, 77985908], [99993949, 1503934], [56148412, 76099321], [41867905, 28354461], [81650534, 89733654], [79264771, 4424393], [43620826, 56263164], [18942204, 90828674], [44920663, 94020204], [79912631, 59005514], [53010337, 61704947], [15397704, 7334616], [39251041, 66831653], [88290862, 83494155], [64043833, 37238771], [10411421, 65241839], [16535170, 1035506], [87066669, 45719346], [75980098, 16035389], [81278128, 23242146], [7612174, 83320935], [30753785, 59984390], [13589079, 32417222], [65626388, 242390], [57495029, 68582627], [76945279, 50926358], [14057957, 51973908], [25186060, 14466064], [76226924, 26104004], [93574598, 54496579], [35692825, 7693326], [22749488, 61377352], [24398596, 28861116], [89799673, 20964870], [32706583, 50655611], [79616670, 74276399], [90471906, 55489062], [99465080, 25432449], [91104402, 86044943], [56967553, 74038774], [21540351, 24735551], [23666699, 19234476], [27284495, 77304298], [92165194, 96778224], [87685609, 75036394], [81353136, 26449922], [36412488, 88607761], [49252746, 90635345], [2094542, 62333651], [25538551, 54637251], [77912528, 52901417], [10128315, 30354952], [2545064, 65638359], [67355262, 79815448], [62986397, 60070080], [16424284, 9038848], [79115843, 25183955], [70821342, 86362854], [18025315, 71708722], [20885898, 2592156], [58559714, 79280481], [14220820, 93129069], [74626811, 41579498], [28056318, 79103689], [75127581, 40670724], [5026639, 79289151], [34504410, 20981503], [26834892, 31227577], [10630051, 93851920], [43607692, 81371225], [55954014, 90201563], [85310360, 77803971], [43295347, 26507533], [32541636, 13630637], [68469921, 89298755], [34804562, 4918585], [56443818, 36424388], [73807110, 5168118], [64324119, 71451056], [77475050, 2324337], [5587417, 33919088], [11686078, 24996149], [43896933, 516104], [6980551, 65124470], [78143163, 62798782], [67393703, 60393034], [13604985, 61893036], [48444599, 54403258], [51706951, 85499602], [36062336, 25784115], [58280718, 89116696], [67560838, 78925285], [90686948, 68252009], [79149402, 74924370], [48676202, 42434628], [69173370, 3633483], [42517173, 35691689], [35378397, 43197391], [88688078, 91131313], [61928840, 51214702], [34706378, 53173743], [79277107, 46300309], [80616754, 10873654], [82036453, 90058495], [88858565, 42556763], [89498812, 33621883], [42178938, 44077485], [80548917, 17913010], [94286642, 70680810], [31350148, 23573667], [555947, 64246200], [77000703, 35923221], [70922357, 59262431], [28914921, 62087187], [32054285, 19238378], [90774001, 27982166], [45563611, 10496378], [75899442, 88141867], [98782128, 22117136], [52779572, 29938297], [53896800, 36669012], [16734277, 42183144], [22021108, 46852573], [88455350, 82895551], [60567917, 13905345], [38566504, 14129148], [39644724, 6293011], [56397822, 6236748], [27732530, 54397476], [1804609, 70235155], [74061977, 84167230], [75104308, 4831513], [65777118, 20584324], [34513170, 27333648], [49809608, 92419385], [53260426, 83220120], [75773960, 93210889], [22690095, 56600241], [52377456, 28552770], [87943782, 23618970], [82213150, 34120380], [62886954, 90682202], [96066577, 27193321], [35446901, 35585149], [39487005, 84028774], [95692538, 98552974], [24761302, 6544820], [55295062, 60285071], [32845826, 95674408], [51380672, 50444294], [82803910, 10231329], [20531052, 23091478], [32882762, 61029396], [54322824, 2369438], [44879108, 36883867], [91111059, 46026717], [13256448, 11396290], [86223176, 76966755], [58467186, 47660053], [94528676, 61797326], [3959828, 9244049], [47608543, 22063719], [87010162, 53768847], [24657664, 73900551], [58047415, 40081497], [15230383, 79231733], [26799037, 46120954], [39871812, 12733435], [20246260, 42545412], [87820425, 73022054], [95517193, 43336233], [7608931, 45500755], [46904286, 26428120], [93732832, 66949778], [43219094, 47524887], [56251458, 72187637], [5366581, 94624153], [61602686, 72032771], [53444620, 54867465], [48200837, 43488222], [82108123, 65922116], [33010782, 8965865], [44232030, 77378876], [59208236, 26730245], [62122905, 23212199], [49878598, 57807480], [26629665, 65721066], [74347364, 18942180], [89776908, 72656663], [33449898, 6619359], [78744136, 39941484], [27717382, 26818036], [69887843, 41352083], [33957682, 22665422], [36347906, 50208311], [10286799, 34960774], [41778971, 91037503], [713678, 16751671], [66469776, 83939350], [8178922, 5551557], [36039502, 5901067], [38227047, 95247480], [26837711, 80117376], [41003082, 47189267], [37237158, 45896185], [44586897, 51702862], [67120115, 91003954], [64805604, 4090828], [9832949, 66514185], [46258109, 44550771], [35536587, 69828799], [69597820, 79029545], [62674703, 42271598], [56165579, 66196057], [57332797, 78973945], [99480158, 18611706], [18570231, 68005122], [58905822, 94766847], [18651351, 50259217], [12366890, 38029355], [89729584, 8388043], [52426672, 57365753], [48953132, 33032939], [45772229, 7160401], [56139591, 85038865], [2121882, 94763413], [53444529, 22504026], [50832804, 85931464], [66857780, 87761499], [39907805, 87264114], [31954474, 10400370], [40324603, 97497361], [57974809, 563185], [78725057, 75417601], [52890916, 62928230], [36236839, 26309459], [35890680, 6831588], [61297055, 25769546], [33120941, 7192819], [61721859, 2098203], [22783778, 9912898], [24419971, 86006584], [63711810, 14897628], [24022746, 19100933], [23923154, 33524221], [3746033, 80042836], [60365132, 23978358], [49087915, 98141068], [35114935, 58273881], [28074566, 25540811], [37042488, 25604518], [78197081, 83612660], [7173892, 99004982], [16189258, 94234476], [82624062, 42128222], [70976768, 36404175], [31626822, 61440270], [32421212, 68982003], [40430496, 50956580], [21730568, 2896063], [11296838, 67908303], [7948455, 77392405], [16490103, 65575099], [36126465, 95389629], [3407488, 93995100], [37923912, 89242113], [79523587, 92528373], [95105253, 73121147], [38468718, 49801982], [52162274, 29847080], [73713632, 13536191], [94186773, 37247068], [38742239, 12471714], [7389818, 28690772], [99149044, 99015086], [9640130, 18200213], [32117966, 1202719], [30148209, 46003662], [40411771, 58498090], [19743889, 6686743], [67400867, 66534786], [42970289, 62502152], [74942277, 47916177], [79470748, 55995454], [4177945, 52888569], [36098109, 44876280], [63673757, 88663369], [74912829, 94282530], [68406961, 29797417], [11748756, 94724705], [32814779, 62710951], [72712625, 39414508], [51701417, 9089971], [12089732, 24713163], [4198253, 41504174], [24052517, 99865040], [38290704, 63434274], [65708077, 95366714], [46616380, 65837901], [42934148, 21330152], [9727439, 46407987], [37818143, 33486164], [24942985, 23981322], [73647728, 69349010], [90677205, 56151578], [46448123, 78935418], [7432239, 79024716], [33677342, 86874256], [99021310, 86456525], [92344356, 99401854], [21126781, 91333953], [11921555, 79998608], [44037634, 11184215], [70251784, 97155996], [8779852, 32600673], [22364351, 56688380], [58292611, 8187958], [31598632, 49482586], [42212252, 23191337], [51898284, 32972766], [19536627, 98653300], [19125261, 59730205], [71648518, 30634155], [72682133, 19025133], [43023055, 1717735], [16261883, 73487994], [21508676, 49031978], [94394814, 20422948], [34515548, 10086625], [59070652, 3485481], [60741461, 1974741], [33891546, 57403167], [9396915, 66104013], [24223189, 78962655], [24663678, 21264856], [52250757, 72997565], [93394805, 20354602], [15428192, 82017143], [67338828, 46237332], [85839321, 31611806], [35577391, 57838767], [55018783, 2297710], [78625051, 33631841], [23523928, 50907868], [41932040, 32844622], [92017305, 60524082], [68579303, 58311372], [61886662, 49666153], [92269123, 40541366], [44331115, 95383687], [45642798, 86152837], [47032034, 42702321], [92014477, 88263183], [34457964, 52420231], [29895468, 28818233], [91917186, 98535079], [66382075, 52781017], [35929070, 91945523], [88508477, 97739843], [64289255, 58003547], [69088263, 21336313], [23154488, 90099382], [55242424, 98528722], [79864639, 26973867], [49647534, 35810442], [31024650, 19368648], [33255036, 49744251], [54893362, 41560772], [89108080, 97637459], [62048014, 42080278], [34504189, 9493755], [85558000, 51325333], [511320, 46702003], [55855897, 65405404], [73583128, 64174523], [15650341, 17794617], [2659592, 50291241], [7746276, 33721506], [51945388, 23846948], [49183945, 97870845], [40617907, 64327660], [16855332, 14178280], [96625081, 61743250], [89413810, 8861364], [73172409, 67959146], [4891994, 72358746], [29103546, 56841314], [70825956, 71039729], [29412625, 95701616], [41074938, 88661492], [48630438, 70891969], [73708661, 56416802], [14995823, 72050755], [29684903, 96937336], [45092224, 28690253], [21881313, 4232377], [33442123, 78573965], [48077386, 13157321], [7345594, 23908370], [20550093, 42987798], [8114631, 69620972], [73401470, 92493742], [41690442, 27446427], [71530393, 47043482], [96302422, 22452839], [48039746, 9387800], [28185964, 39587523], [49051547, 476639], [16504988, 93104070], [7511459, 58659799], [28096442, 21162742], [416540, 6554769], [42793702, 30370893], [26442533, 84253617], [90288960, 48812590], [90907691, 35862766], [11108729, 86180935], [86504344, 66982541], [2128449, 92798562], [95060434, 35372079], [87154972, 73586348], [1955920, 66728157], [24780944, 94800165], [40355281, 71363208], [31735183, 81898795], [68725579, 12500456], [78709413, 72000648], [55388877, 8152493], [39045401, 27406556], [14972609, 74136665], [152005, 39306114], [73636455, 12403842], [26404665, 52886381], [3989408, 62736515], [49776945, 37706577], [97204461, 71102610], [63853159, 92404312], [71271383, 47549057], [72156662, 27855569], [71680558, 6639248], [59604481, 54847341], [22592704, 53029551], [39082509, 93150366], [89025809, 26999992], [31985768, 89420206], [13412661, 76638066], [7705925, 41021431], [972600, 61859904], [39846434, 72239361], [14312907, 69997623], [39934671, 58576218], [36991722, 19398722], [50923303, 5866222], [37308013, 75009636], [52408268, 74830609], [75414927, 94852973], [76042591, 46754816], [60562901, 92221191], [37284983, 60330343], [7637646, 13487670], [13782295, 44278749], [92848276, 95585565], [33295828, 27521797], [95388797, 73691463], [21861052, 1541355], [33974142, 22720669], [32580568, 91311543], [17244638, 96798746], [33737214, 73406876], [70119935, 74214671], [68023143, 35539451], [44406326, 19886936], [25864383, 43185854], [60474889, 83815804], [34878955, 50489065], [29686229, 55678728], [93250968, 15162424], [92186937, 41687679], [51729166, 67616979], [60742197, 75097415], [58840838, 99601095], [70190974, 6156035], [79625168, 22118176], [89796140, 53124485], [76946028, 41295394], [73895255, 75749756], [73842830, 12069123], [94221702, 59673537], [48063525, 55806921], [86123095, 64428904], [89322735, 46855876], [64800489, 3172756], [53169637, 14864759], [40317680, 39082262], [69706280, 53244563], [6164165, 35590245], [20288572, 17408680], [35587783, 75428440], [78201646, 53372731], [23498122, 21807512], [6657436, 54723578], [90777683, 68197291], [94645638, 80741652], [2198509, 12991443], [33577515, 56811645], [12633628, 42659836], [64125995, 41628166], [5458133, 67716913], [64978550, 61135125], [14177113, 47003247], [28130027, 56206708], [30125937, 4185691], [44595537, 91810718], [28220504, 77387175], [30736850, 40173399], [7047218, 50346423], [2936831, 38932842], [89549640, 37201427], [5550242, 83677028], [44529549, 86139790], [32264512, 5675206], [27570600, 98804277], [12587483, 22141769], [3735486, 51811738], [70790287, 82505892], [81897968, 66481964], [68950669, 87187357], [69229076, 88259231], [7087189, 15791323], [43115263, 1424735], [23151081, 59197617], [42918045, 33050684], [26471885, 58500070], [40683133, 22682268], [99720971, 64172663], [71616027, 62464593], [24006188, 73911680], [2761837, 49663409], [31046860, 73025435], [81512558, 75741852], [83752670, 36995130], [90943313, 94279965], [86201552, 85853604], [37753818, 27760721], [26216884, 69651792], [25448951, 71683275], [2829169, 52436347], [3628499, 56086278], [24687979, 47621649], [89901085, 60030584], [12441519, 62005673], [46187144, 78625512], [28946779, 96958095], [17082584, 29567745], [48115212, 12560502], [25715995, 23735618], [74819255, 57573619], [4253618, 95832830], [70280548, 56286709], [3032514, 79324924], [51543973, 38932509], [30917882, 12530359], [97726258, 48519299], [92754932, 40277442], [94049059, 90096729], [14375807, 22040918], [33562917, 10084169], [7871830, 81056118], [6921609, 38058309], [75994494, 22999622], [60735154, 15708532], [34294207, 6456869], [48013741, 26945005], [12390453, 16504474], [86994292, 25818192], [5714184, 41670868], [96749872, 81349849], [44019265, 51952553], [90523879, 85987792], [17951932, 40058606], [80645284, 16186973], [13080993, 90947359], [77990042, 68000303], [7085556, 92111293], [1059323, 4950785], [20357094, 47122507], [60086153, 70499490], [47349281, 57391405], [53822212, 5534230], [18417575, 39824559], [53961358, 66048440], [43948003, 26944950], [58999603, 47154082], [39865553, 88273703], [39679970, 77345156], [21429183, 36156000], [52267826, 96867015], [98854840, 77627680], [35594223, 72058709], [45689954, 62657082], [58025370, 66997636], [29653602, 61616010], [71065421, 85523201], [58306490, 7276203], [83538269, 4300060], [26274278, 74895151], [93310874, 62195333], [31466176, 5436030], [63662339, 44138612], [98692490, 32860695], [88938334, 34840054], [21485421, 35453007], [63876361, 77069574], [19728855, 48748991], [42105069, 72717110], [53260196, 41996982], [56759130, 18280416], [50275072, 67066923], [71440645, 33653952], [54589252, 66708589], [29535792, 46566845], [85785359, 66223854], [42532434, 10237830], [49837160, 52832421], [46616930, 74664528], [1562707, 18957397], [92854676, 8490033], [37066705, 20353067], [98141113, 63462425], [43239093, 81264552], [42694138, 83239793], [30121531, 32724733], [95612114, 45940543], [75881101, 62891482], [64574544, 2175788], [82421760, 38464306], [99802148, 8897032], [71992615, 13272476], [71605440, 75302870], [94089574, 44583120], [67472557, 25320826], [83770830, 19175292], [16706547, 8194554], [78018187, 30227231], [86315856, 33071645], [1298274, 55876362], [47930527, 64614652], [2986382, 66116867], [63190659, 895539], [72675126, 12134852], [83250831, 71381054], [8906363, 39439809], [64187254, 15056584], [44134477, 78239710], [27298470, 21794935], [60229668, 8754557], [48587499, 33098919], [61054201, 18352397], [53277682, 5231083], [67619519, 46464657], [57885113, 74750364], [48446746, 81727548], [97378827, 21783672], [84747943, 98327764], [86398238, 40880533], [35628654, 44307852], [61748991, 99218222], [29055549, 95999760], [78845625, 69504976], [5352747, 4854766], [80593170, 32394468], [91728733, 86690481], [53423965, 6690316], [33614214, 46947751], [43512178, 2487639], [81512727, 84530883], [11391583, 41563420], [26725200, 3819167], [8268030, 80954602], [94782715, 1248844], [1033273, 9047114], [82446079, 33906178], [72453522, 30570559], [55615448, 71636156], [74342569, 52605452], [63850794, 58038773], [67902190, 44393238], [50690194, 19795796], [28810704, 47239672], [78814721, 43642842], [59374420, 80193291], [24235587, 59101121], [39272941, 7669449], [15972175, 12486606], [38634804, 33059801], [11759788, 54453190], [91824042, 8610091], [44432638, 75469854], [35776865, 32710439], [94098231, 58104769], [9147468, 92338423], [40184645, 89889905], [63171199, 74565312], [89365483, 97722575], [51841728, 62887345], [58412593, 69993127], [79562145, 97413300], [53134835, 28223750], [44929699, 64585841], [9474593, 66677693], [30934329, 66391002], [64850965, 30136785], [6132341, 22337832], [91263218, 2813241], [88580156, 13160476], [89402018, 29204285], [87945567, 24525009], [85288401, 14838037], [52490709, 56240020], [52585390, 80055999], [56945721, 54737174], [57202297, 17303107], [19146462, 60763312], [50506890, 11743128], [93958390, 47047593], [61584749, 88677437], [79644603, 21970344], [44580116, 64327701], [71503632, 39130952], [66348350, 7794163], [21959573, 80765961], [72796404, 85838897], [22906115, 74984154], [55507663, 43207168], [83894574, 37310182], [77012366, 18254052], [91685255, 95145798], [34148077, 48665332], [69122791, 23852703], [41928499, 58233192], [9765857, 45951215], [43613466, 1442223], [95025413, 13135085], [69329665, 72937910], [20172473, 66688272], [20306379, 60506783], [57842863, 28108200], [35705251, 9549714], [61192265, 26671797], [80188403, 97156342], [30173078, 74484059], [95832, 51440660], [87501284, 16348521], [44559191, 2750148], [82867455, 65440277], [78404866, 23624923], [56736888, 75101178], [35600121, 25230156], [26963475, 45618630], [70393846, 91630576], [11749053, 73770047], [38027391, 97510477], [34775227, 67334823], [82309611, 59670123], [30481281, 57073229], [6561676, 20661512], [22010854, 65860792], [86882704, 90465408], [90016755, 92902802], [33960966, 27527840], [87324230, 24919776], [85121228, 48556330], [45741434, 11391527], [70022680, 57779201], [70749220, 83641027], [64795331, 32663480], [31459083, 43270165], [79137836, 25170942], [72894428, 40511955], [66495369, 66630540], [48549660, 31136223], [94941414, 93869881], [42862908, 20779417], [8149217, 90296058], [54098629, 20650614], [78858936, 40093192], [85908114, 38909319], [37152066, 79146558], [60061079, 47566488], [38460841, 29081481], [73280116, 46215100], [76148356, 78121648], [13614369, 50684732], [88387964, 21090368], [57693779, 27953165], [22370832, 33230330], [911681, 78221401], [48755613, 49048438], [89258754, 85380263], [82487737, 13737964], [53299975, 84913539], [94615656, 329781], [74552434, 16542876], [19810309, 71820103], [70513643, 96418334], [16912908, 43356285], [24575340, 36687749], [96138844, 23865146], [40028410, 11414297], [4912882, 35680796], [86029734, 34952710], [93058756, 55186970], [87945140, 84031505], [81767271, 59108536], [88002690, 7217671], [46394253, 16796656], [61926616, 8502085], [90639242, 67566859], [99445577, 2387766], [75237412, 25771128], [26650905, 69288285], [15864534, 20272560], [78821737, 58510462], [89649018, 10880767], [14564362, 37985624], [77712636, 77291795], [1328043, 71722096], [76691059, 19738457], [42030781, 96596224], [75972884, 63400041], [1711263, 46713627], [61415020, 60289418], [12143901, 8582939], [59397865, 3035801], [97006429, 34944476], [22037511, 86366771], [34053437, 50611500], [75430986, 38899860], [26483959, 80533872], [44757599, 41825084], [35090077, 96811747], [75184934, 52257169], [35248241, 2798371], [58195532, 17971296], [5135306, 96395396], [69736806, 49880423], [90463047, 52898613], [48119020, 82018539], [43638435, 90231605], [98688687, 83635843], [37384334, 88346106], [18130470, 57404101], [16632157, 71660220], [57426973, 91265818], [50437041, 67923890], [40398331, 29515351], [13005901, 7968441], [84018005, 21909904], [22141215, 90409293], [71231398, 99421969], [84683764, 57632661], [93985426, 52052499], [48930738, 48464900], [97938412, 85078730], [56121393, 76063020], [76733438, 99371059], [44655883, 4352724], [26876728, 2021059], [87300759, 42421857], [52655761, 18928094], [91262882, 48918568], [10067524, 77238436], [36533470, 16415525], [34049015, 55379866], [39445744, 17588957], [45373604, 91622136], [16287463, 58065897], [20523367, 27614851], [8316368, 28698662], [9150163, 88772306], [4189147, 29212392], [96975351, 80041310], [83443606, 39790515], [73284731, 41928718], [92859053, 86431541], [40504787, 65506833], [7346671, 11550305], [74244004, 33480364], [73445962, 95822027], [63999008, 59259307], [75430055, 14828528], [66121439, 76983621], [37497896, 40532241], [42253501, 5110205], [7738991, 48578096], [8393062, 59812219], [43685434, 7443103], [29159230, 66247071], [20753769, 28023366], [75242508, 8327023], [2084655, 39511980], [30657242, 14527150], [22446007, 92303431], [28659243, 52491007], [69567673, 25543309], [84316584, 76249085], [6304110, 98924627], [24771789, 89416062], [67791138, 51849243], [26302560, 20610753], [94521150, 45386582], [83535571, 16215706], [95236224, 36150734], [757879, 35947924], [93135028, 44272868], [77722462, 40575193], [85931918, 20335123], [73623653, 49275953], [13294815, 58404286], [6286296, 2511388], [88549915, 26718556], [8701130, 29679316], [21927198, 77505901], [1406209, 62518823], [63523428, 86070130], [6075728, 30397611], [14431870, 35867457], [68725447, 54090095], [5141519, 8373786], [66358064, 36819371], [78735432, 26665804], [1029596, 78161505], [26803387, 66540058], [21045991, 65453614], [85061892, 26569490], [70425621, 32974574], [13600220, 817081], [66288419, 14929429], [28388079, 62967348], [34551773, 1601402], [25909084, 28711204], [17546697, 1729471], [77678073, 59371038], [66553358, 28378200], [2465269, 75991825], [95667427, 63206739], [71656201, 28546635], [45321457, 2026207], [52124768, 87955308], [6452368, 76579897], [7531326, 15802319], [23794767, 85338106], [3055693, 22403514], [85582398, 3681908], [66368240, 21534046], [9252008, 74465618], [75433144, 28099862], [54163449, 29808005], [96687129, 95808110], [23858902, 33441177], [91681089, 40190921], [52605785, 45330436], [8007923, 40156189], [62917390, 65598119], [37456514, 45182473], [84710660, 53929750], [10178150, 54748403], [67802633, 17759493], [59367663, 12637573], [3632327, 45375902], [59412559, 71815550], [42593412, 94095959], [17052529, 16460288], [77488168, 71125721], [43364886, 60325539], [55082732, 42098275], [31036495, 16682231], [15671303, 71328146], [63094061, 86328474], [59925894, 11380064], [86415286, 14504872], [48279896, 18977359], [21815875, 93900982], [52156770, 78617510], [38074685, 80828793], [678662, 21526980], [23105023, 64950450], [17848966, 70202342], [85852196, 23822869], [49043983, 21524836], [36085759, 9102619], [59767500, 80403809], [52212383, 64692076], [84912389, 48197713], [25801861, 43370244], [77986794, 81886061], [99818853, 60955529], [38402025, 60233029], [41445899, 80168905], [7965472, 92843088], [55920734, 86482476], [57416607, 45719165], [1439203, 6841075], [51636541, 94740487], [10327339, 2379217], [17382145, 89025108], [78405881, 18706149], [59162609, 53058411], [56392170, 25348653], [60764210, 21631943], [74058959, 78056614], [95551482, 13361882], [31799708, 16755457], [78374721, 51218310], [82464467, 45066182], [43496006, 9836067], [69911971, 54917673], [18976493, 42358703], [50059494, 66645737], [33370449, 54689342], [46187886, 17640559], [61662974, 13995226], [53578666, 8944372], [42201912, 40542303], [94139843, 23314712], [82185297, 48515051], [53154266, 67233250], [87569955, 42557008], [158628, 15048923], [44234029, 55861047], [41078910, 18047962], [65484091, 43139713], [6898119, 75396930], [49384717, 22938946], [42933180, 16794429], [29557736, 44102898], [94499948, 66703685], [51284718, 54173935], [34561626, 28306886], [9422703, 32268319], [84334450, 49071636], [43756303, 37363954], [52202133, 27915824], [50281424, 71260463], [426594, 64370602], [38966975, 47813749], [96820524, 30353618], [4435496, 98755517], [70154002, 28571031], [66331244, 63978327], [52184169, 57157206], [29670660, 98605152], [3544597, 56999327], [74927608, 24676101], [46390207, 3693391], [36614008, 39945538], [45938327, 18830294], [60142602, 31802241], [88298936, 59842975], [71837369, 94982999], [54797110, 92877013], [64499391, 52996468], [57631672, 61535813], [33588734, 67282107], [65150111, 59273365], [48370994, 75538167], [31216067, 56666773], [18772779, 45373956], [92281836, 44569251], [30515211, 23520973], [78639978, 89342742], [83931550, 41803369], [54765868, 69584697], [29707105, 45058897], [23509680, 6224847], [64521485, 36433501], [72015731, 24764680], [15677103, 71870598], [80431230, 70758563], [27158, 70036308], [47687164, 62175780], [62927330, 9178192], [25361828, 66398651], [31921792, 77655077], [62075195, 89352241], [52418727, 8578317], [2412379, 99606081], [39719133, 21975130], [56356475, 45241739], [43812715, 73753403], [12018814, 78740046], [85130091, 59821848], [24559963, 36534576], [85025176, 89599736], [97459767, 99227571], [75124290, 34227270], [43764113, 97011837], [7063606, 42438927], [76091667, 54605424], [6684633, 27050368], [76157970, 36838920], [1618198, 77242704], [51647223, 93937707], [89124056, 12691798], [6694193, 39888976], [95863815, 79587884], [23248907, 57549989], [26806199, 52202883], [89508974, 70217543], [25760522, 20830559], [34253126, 31053614], [94236993, 38852217], [51955754, 99011388], [80143411, 48636518], [79092392, 1843794], [12582886, 42595272], [39853318, 63805879], [88829564, 80396704], [53207143, 99065735], [7472039, 37027450], [57254705, 93022087], [93823238, 43297504], [68674978, 20606634], [60815569, 82708499], [16265239, 15154878], [60905185, 80173818], [79114923, 84152952], [99710483, 43032688], [63374087, 88381051], [82777973, 99123684], [94085721, 34487337], [28141044, 63199909], [60484278, 67088233], [47027618, 80448971], [88589773, 491871], [21516347, 36124261], [31487531, 42778932], [10810934, 4661379], [41714938, 73721497], [94298311, 23863846], [43729267, 67109422], [56033457, 38380142], [6850528, 6856742], [48922916, 88913066], [95856241, 76050811], [99515441, 94470077], [24024449, 60137378], [99086460, 22659438], [549149, 76722634], [8657031, 73355192], [30625510, 90523222], [28363979, 40792770], [13412774, 19594830], [35428999, 35350449], [44936539, 74138739], [66910695, 16562169], [53164842, 42941420], [69908060, 25823064], [41587871, 47893470], [66788495, 5072319], [29315916, 25653639], [9088876, 6197126], [49692644, 45132052], [35299768, 44361388], [78997668, 37240000], [57332106, 28689867], [7424697, 93994289], [70882758, 18122228], [66452167, 52360096], [37853078, 21829184], [4232945, 90837235], [6219091, 22453054], [82558380, 57762792], [48432898, 53387111], [37083466, 35883002], [553176, 98589413], [82511851, 61429020], [84212065, 51991820], [1725978, 12395716], [68549392, 55395341], [10199409, 62565309], [74499004, 48106413], [85104287, 19207196], [97926228, 75998691], [1011042, 44456934], [49407273, 79281001], [53199372, 31257743], [29194441, 47643509], [75473886, 43205556], [20444892, 71873942], [70144180, 40723017], [74929950, 85632948], [92865216, 13298701], [74642330, 37644746], [68032686, 92135031], [32300993, 1325619], [1187224, 8629796], [26961545, 44053731], [12703172, 41117473], [66510870, 1914786], [2482255, 21621231], [77500466, 97106425], [51276732, 35624365], [74605264, 5715612], [67881542, 77788745], [1300447, 43467497], [73036505, 79284868], [15145485, 59532208], [22254198, 97977221], [51711177, 96331531], [40944898, 37153688], [23072757, 53171571], [52800915, 14905793], [74278570, 49038300], [41458501, 11284930], [67412343, 41934591], [77282637, 32120963], [96272158, 42662694], [27105383, 70797854], [30568568, 23187666], [2664172, 56971487], [96748685, 62146300], [92376992, 25987772], [26726459, 26572536], [51813122, 35806051], [6511399, 7182107], [12361018, 2316725], [61221376, 35166480], [17520433, 68494846], [34485211, 98328422], [71584003, 98635008], [94631946, 97854522], [32993612, 16567067], [72042528, 31352763], [17233397, 16239722], [33985298, 33448876], [90382170, 42748581], [59696904, 51110311], [34915801, 58293776], [38286400, 96609439], [92389645, 44352124], [23192063, 79586567], [43605061, 88978491], [28570260, 7469015], [81589056, 16034916], [33168383, 87160453], [48666331, 50751890], [87505796, 99450139], [94277843, 88345697], [47336263, 43309254], [4189919, 91432964], [93157821, 40404170], [48935049, 5902541], [49579129, 58833389], [23107625, 80669966], [84706377, 74326296], [21520342, 31046138], [11993826, 11062631], [36355295, 87508152], [41272408, 64851942], [38237024, 70432151], [42848614, 54870205], [3927917, 20452665], [73697100, 2544717], [46592155, 76012878], [46822651, 21301326], [98672730, 4175581], [31620133, 91164654], [17716763, 61764041], [83073485, 35026468], [5948352, 67549503], [49194571, 58480426], [89627849, 85735886], [89044850, 37452441], [74964459, 25264344], [16734863, 15568910], [3870369, 85241176], [74116965, 23856385], [31122903, 52367062], [47947030, 23229500], [72897561, 49153049], [30851991, 46805972], [11391530, 64801755], [23814883, 98331096], [94530464, 73004884], [71706502, 63353021], [20665872, 24493285], [37418993, 96343629], [78989873, 55296432], [37656981, 90722233], [9994865, 48152027], [82978622, 82694085], [96313243, 53582455], [65022379, 35642539], [5660872, 70948225], [8093646, 53096356], [62721394, 55632887], [96396177, 80168717], [6775125, 97255834], [63903213, 70025718], [12304548, 15558087], [71342572, 96571151], [68847189, 57252144], [88432340, 11105087], [25262678, 26968505], [88814486, 48894969], [34481720, 1754933], [53189601, 34828218], [6195942, 99049937], [61494014, 60228209], [52269237, 61461645], [36970935, 16762008], [18183448, 66133243], [65591916, 79159437], [39327934, 83413063], [45111353, 16151650], [42340433, 78994668], [87540695, 78280455], [27082941, 2781342], [12719374, 9723319], [72473510, 8289137], [59828558, 65502365], [93770224, 7291200], [71430624, 6441436], [51890742, 72562177], [71887492, 40360464], [50111363, 87669071], [44366294, 56133848], [55426451, 16860630], [79214790, 86266076], [70541954, 72659638], [86339770, 10015929], [99847013, 19566370], [4096835, 90842183], [1566822, 72942392], [97632881, 55990233], [41443456, 72975647], [16643668, 11462713], [2286102, 60994284], [87251477, 67926464], [80395863, 78947465], [7775072, 50627569], [76830844, 85108672], [24868906, 91342563], [88233471, 57013574], [83932584, 45683544], [54170542, 19224697], [6129197, 7969386], [69402320, 28790726], [88833412, 72245827], [42694921, 31719495], [5939406, 89586678], [56351427, 24946256], [40933369, 43547593], [10574048, 15907312], [59241241, 6035344], [22814299, 98709775], [54802735, 67708364], [97678907, 70091555], [65497161, 28869686], [42519361, 23264437], [7365970, 50571519], [54895850, 76427808], [74332053, 1366384], [31219071, 51538785], [35728104, 19927829], [85779456, 6047499], [88110015, 55927244], [65895400, 6425210], [49565328, 17934625], [30624616, 61857911], [47745379, 7508913], [58108995, 80610168], [49398587, 26369635], [67854977, 63680128], [53684132, 67408405], [75939549, 26639334], [39836298, 49486895], [11461136, 87980273], [61664889, 98466109], [27944037, 35179374], [83270677, 39479188], [99406043, 80821105], [24704950, 22452246], [57427889, 31048074], [55078297, 46938369], [3063491, 35830592], [17289250, 11268898], [59874674, 15472056], [23299374, 71222249], [54828459, 67596046], [35401808, 25736507], [32227323, 155371], [70221066, 76308246], [64493642, 3875994], [57609689, 2986648], [9512262, 58199160], [99778815, 435745], [29007976, 56031320], [76039735, 58140964], [14668705, 39797967], [75181728, 6584653], [68517588, 56857959], [75966566, 52661972], [311607, 3733220], [57654752, 26281764], [71436811, 58671877], [85166461, 5805796], [47192833, 17418059], [83830392, 90611285], [74913143, 61030484], [39061220, 98206290], [24801682, 91123731], [8324724, 5768691], [28194659, 44245051], [89826671, 18082016], [76188324, 66038440], [37087814, 71172843], [49280201, 14220359], [29345449, 93889517], [21797092, 13618962], [93489471, 29319426], [30843538, 94974638], [3931642, 57583725], [78947044, 6238541], [57160148, 12768298], [60588881, 53353692], [68233996, 54321627], [793178, 7078510], [94209979, 59468028], [1927589, 23754760], [75116351, 67499871], [67732483, 35875487], [93168115, 15253841], [85311505, 52803652], [95614153, 2541886], [10701669, 38854045], [40501419, 56073972], [62033967, 27688441], [88467725, 60459326], [82201921, 69483726], [50381877, 19271183], [72200702, 37301561], [32727025, 79627840], [86148189, 86357277], [3646734, 35351283], [42671545, 11982793], [29448935, 96911073], [35563289, 77858675], [65539587, 51255448], [98741395, 29931098], [42290031, 42142263], [24508407, 85676535], [53015795, 89410510], [55602287, 39951339], [71688048, 17469362], [91522885, 1482301], [13449855, 16695384], [87523412, 94740228], [99594927, 44567567], [7605973, 85567485], [91799183, 17674214], [33461336, 52055618], [81994580, 49330656], [50113481, 28543696], [71656134, 95507049], [31666396, 15602627], [40266716, 55654832], [709026, 41556015], [44906893, 89446015], [8188428, 53592894], [28993340, 5561626], [21779798, 26493379], [82638970, 4373224], [88886302, 79294681], [66902957, 79403616], [40363556, 11078501], [53135612, 93964694], [44559852, 72577243], [7934925, 88374054], [53838967, 6260433], [79789591, 7652200], [38448164, 29723301], [8256282, 12641351], [42387287, 91815542], [27713403, 73185119], [15029385, 94940185], [22825999, 43230950], [36516043, 67142225], [46970134, 86426149], [96280702, 58128028], [19242811, 15090654], [46049861, 500010], [7513745, 34110092], [62060638, 47528666], [27798179, 76975766], [77893998, 43088586], [38230203, 24234191], [38841261, 80546704], [34614376, 59186016], [67772060, 15236133], [24883028, 18593003], [86618883, 16336076], [10685833, 52550022], [10237008, 75685270], [62448051, 14964044], [71849766, 27582562], [69080552, 45488525], [72503548, 40204690], [56051849, 74857189], [21703583, 90880105], [71225319, 13788261], [76405066, 74996948], [61114809, 23572583], [98830356, 35597215], [87872570, 33663044], [13224206, 66976150], [78985664, 15674194], [47388930, 69433934], [2117822, 52349940], [93037750, 59713754], [37729073, 31727954], [22070170, 35565310], [85637521, 13259938], [72713668, 78827062], [31760616, 70907617], [69398954, 29720964], [57905581, 19683228], [81167339, 44136112], [56566221, 44376373], [35194009, 13799658], [28138255, 79111368], [88162292, 21951397], [56931673, 88200193], [50056649, 50493166], [37241574, 8674061], [85071598, 23007867], [95530267, 15002267], [98475324, 5691197], [92454662, 13109917], [35306060, 15322107], [98314867, 83593645], [9279531, 45971486], [88042964, 74211406], [68835448, 31415237], [10633669, 92312840], [52561192, 17969577], [7306090, 31443462], [90744212, 24725317], [31753878, 45289277], [15740323, 44200257], [67477081, 14151861], [11116279, 11822354], [68111508, 60356442], [34937035, 4526685], [75405140, 61915445], [47327877, 62198679], [31375120, 72050324], [89885861, 49587179], [85176125, 88208960], [74308947, 48725479], [52101758, 8266239], [50630739, 93813479], [25622715, 2485589], [27759012, 53890002], [42288822, 65673020], [95153366, 43089510], [7255516, 68111305], [72006259, 92937301], [61713359, 79154085], [8633990, 89045801], [16061689, 17702320], [22890137, 76114360], [53358353, 94991902], [76174620, 9877557], [8785226, 71811042], [92327118, 46888218], [77257593, 62758494], [23323661, 95558482], [5607733, 32094433], [48256411, 38138271], [47748277, 80378450], [57016119, 15201479], [98454995, 4687219], [27484045, 94558378], [76425990, 70715546], [87918350, 94608037], [31188905, 34333330], [87828752, 62116170], [34191228, 19534742], [35156192, 75029508], [14802659, 80779453], [49289464, 29292461], [14293837, 25913567], [6854288, 8366987], [9383195, 65940305], [44569226, 85555654], [37386886, 28556920], [53276479, 65425788], [3327869, 46082739], [52295383, 25460205], [76647729, 83400709], [17206262, 42632222], [77107933, 1088863], [25025978, 84199354], [81932456, 77753596], [95614165, 70150665], [20856764, 72675386], [7027722, 40894828], [18325214, 4286430], [26616372, 63699195], [13141958, 57392722], [96737093, 50915430], [13763346, 90652654], [43413309, 82760851], [68341040, 38277194], [96842427, 30447605], [55012019, 52965638], [36649784, 27690994], [98716460, 32633650], [47272645, 33783422], [83391516, 22438101], [1591341, 98385512], [46210442, 57132742], [22741437, 7874167], [49506596, 16071797], [77157123, 76410439], [91002966, 61039019], [52829357, 9661072], [46613520, 75365023], [65739934, 713495], [48723220, 5512490], [70829335, 2056414], [54287944, 30583072], [73497153, 44916382], [19926215, 96979737], [46938424, 5778303], [84862408, 60416951], [55710333, 66609156], [81642353, 65007768], [95933358, 95889962], [50199740, 94767233], [88254427, 44435584], [47316621, 66282913], [65666407, 1498420], [62480606, 31167947], [29544609, 51735929], [85852826, 12239888], [88687609, 79091099], [38749097, 50095462], [40990214, 53610264], [59686940, 9151234], [50697532, 13491264], [30886589, 39437677], [48136186, 90367405], [86923450, 81282465], [49241656, 46852333], [39619902, 75838863], [25111947, 84784617], [49053119, 22973223], [12778522, 42653823], [32976725, 39062186], [7701845, 69992006], [24702806, 31622796], [39028580, 49223691], [50825523, 69171942], [51647768, 26232054], [93245087, 28121217], [41935960, 48679788], [53044244, 66268725], [8324981, 15857902], [32248021, 73582637], [52465931, 67903073], [90114408, 32025315], [27415801, 46805277], [92151271, 71498058], [98123593, 7617802], [11019797, 61154670], [14394057, 53012285], [49702508, 52356621], [58959795, 58434612], [49432983, 39526473], [72178694, 82811484], [99936347, 28817604], [61246390, 54913184], [27001676, 77953573], [98707863, 78215299], [27462978, 20247481], [3169439, 78895929], [50916902, 48588403], [61427362, 42419240], [50253831, 23776626], [8917299, 46984604], [29267190, 38085885], [865528, 61415338], [80964892, 5364783], [7256219, 87211771], [4811259, 95569005], [13529672, 12397261], [98627262, 86335720], [8203860, 51359036], [2299003, 97267643], [10942071, 3172055], [11720977, 61709170], [56156110, 14734681], [5909066, 70531024], [6753920, 92647946], [63965426, 92928176], [1883256, 17294571], [15527298, 60194050], [86595650, 76112317], [46194002, 51328027], [76796246, 57287693], [80428535, 18730900], [71740983, 42493177], [55152501, 67582247], [58474796, 92967210], [11816977, 46071387], [71317667, 86594539], [3624799, 10675714], [20944621, 88029373], [30365710, 49701844], [88380315, 31934875], [27461604, 74472163], [92707373, 11059251], [58354194, 28737163], [51534825, 83732658], [6857951, 50378999], [32975016, 94538893], [15911130, 8070500], [64611863, 73846177], [61680516, 40456333], [99837634, 75180556], [58383798, 67242914], [29690085, 33239179], [791300, 33505972], [72196879, 25030060], [5519041, 19094196], [26840776, 37811270], [66243299, 8267001], [77747323, 1360745], [14092792, 76113337], [86905604, 60358493], [50234387, 54225906], [58195914, 87318657], [47264762, 68398675], [19201117, 75974661], [45581891, 86737992], [18168987, 19408921], [53642269, 97467474], [36837308, 76301026], [51908500, 96169990], [13321840, 66559972], [76008209, 57562587], [44783881, 26742492], [20259739, 59808598], [96972915, 65537920], [95688402, 83347082], [40246890, 92685695], [17636477, 49003618], [18192752, 45558542], [52198283, 3075007], [18758436, 83404180], [36635060, 92615326], [85681755, 38871490], [22755385, 79116831], [46299206, 76451413], [24198006, 40376040], [27126708, 52135832], [72858463, 95621639], [10618406, 12826329], [53367959, 53678782], [57973486, 44784294], [2027101, 10086800], [95365220, 59426216], [58335343, 47733823], [36710358, 73457173], [86768114, 42011702], [94103414, 12093383], [66693521, 8454347], [91467280, 62516572], [2402659, 21223181], [45566784, 91643681], [61547083, 65044761], [83350459, 35828092], [63847156, 21671486], [60986385, 10730598], [41236411, 86561411], [86068320, 4493207], [13060575, 39051634], [16882285, 44664449], [93607795, 31097434], [5225761, 20818616], [31328239, 51874837], [9291602, 16797764], [83108662, 87799997], [52775931, 97312943], [39531510, 50814319], [69313835, 69177660], [10547111, 3338376], [58103529, 66485726], [44387317, 57609391], [48378099, 53518905], [10385452, 45069702], [45406469, 73764174], [10597714, 67432637], [70384199, 49045264], [33252691, 50993846], [29213511, 49848410], [41746101, 97609785], [54578455, 15915280], [21388822, 57225882], [20194491, 79995685], [56323931, 24356674], [90618199, 71860063], [46515440, 653690], [74827607, 27993034], [97669631, 17116349], [62054511, 45321935], [37255700, 85380511], [49072268, 31002871], [30849460, 64694504], [22810023, 36967010], [63022177, 94854720], [33659657, 56662074], [39458707, 71449892], [8690438, 69498920], [71886985, 50672396], [11599936, 86780376], [90917995, 49060539], [99609391, 3681003], [930389, 62753604], [18927514, 86073867], [78868572, 8768377], [68439665, 47739984], [81720630, 2734481], [87380073, 28109799], [87874212, 19909425], [35106214, 72336195], [84258137, 2183578], [67677511, 13357735], [76294965, 95275668], [6772265, 71983895], [700562, 12807652], [59281291, 83281767], [60183347, 50133354], [94979132, 48696273], [3580375, 62799249], [21306002, 79213136], [44329451, 41503989], [45074605, 98901817], [92798586, 77067199], [19858078, 77069787], [44011583, 65423315], [12421160, 58958919], [49379533, 13198567], [95574295, 37240186], [82757977, 44835879], [1992171, 36643737], [87005619, 84550027], [50713674, 5828412], [95896935, 13691583], [90303399, 63039986], [72606219, 64407329], [86752000, 27896864], [94093159, 79462748], [94846626, 56972354], [17676987, 47307907], [71915303, 38139531], [88469683, 51518981], [68984954, 52328501], [27221848, 17962171], [21765544, 7843928], [55907295, 14470466], [47106701, 39148256], [51027239, 30902764], [31213090, 66384667], [71512752, 59768375], [36231310, 82854593], [52713778, 59740210], [39103249, 40986727], [67769016, 47272990], [21655640, 41887871], [66823458, 34493061], [88212028, 81829271], [91378593, 49181338], [12840489, 733836], [44239138, 21145449], [44565584, 36256727], [23282124, 76462187], [96030320, 70382056], [77147106, 25918353], [33455885, 47240875], [72633908, 58037071], [97321038, 92316189], [69048566, 71341187], [1192365, 49740017], [92254235, 9100500], [31837030, 99528329], [22310146, 31836521], [50511249, 77280752], [68733745, 20170190], [61132384, 63542836], [10857822, 48588159], [83665422, 45148055], [64711212, 7356078], [9513069, 9419743], [37996529, 17422150], [82574304, 78013687], [58976717, 33324747], [12587759, 90171939], [60300817, 34565875], [41745818, 14245791], [19254048, 64705584], [93687218, 74097084], [77312012, 46936387], [75395444, 78928100], [65822605, 49504947], [48587418, 39547321], [54173612, 93478133], [55687514, 12435771], [45017297, 67296375], [65438415, 27557261], [63632999, 61231386], [20160474, 53021880], [59322139, 67832967], [91184572, 30773847], [66962590, 42548493], [20318454, 49115026], [95385331, 22828383], [97876998, 13828352], [5382902, 72373713], [41459891, 18971668], [33541051, 29945737], [43895785, 10717624], [11487281, 8404141], [10916888, 41560623], [99919720, 65569437], [2231419, 54670832], [5137695, 56216717], [15098533, 11176735], [13336096, 44628013], [16335177, 86161488], [99838933, 50399708], [65278112, 63852179], [9956643, 88475527], [56639804, 13233668], [41954765, 72570630], [94217098, 91218052], [34903772, 35531156], [86139159, 10283641], [59658399, 51145135], [51636291, 66999588], [89314166, 46778275], [30893693, 43169299], [23106015, 98127432], [78512393, 93102123], [54096413, 28342731], [87471745, 88036564], [20743274, 50539246], [93777122, 5613597], [66422858, 58440196], [42707310, 69350748], [91478933, 93325581], [39917139, 8926960], [77950369, 68716968], [29142003, 95159459], [84164981, 40283545], [703777, 98583786], [76722637, 59801659], [16652749, 33478261], [61976348, 62497305], [99099608, 2086573], [8811394, 1570100], [80828526, 85368370], [51293366, 55170445], [77545877, 51636335], [10434577, 48945432], [87126058, 80200180], [95449318, 14929074], [18975582, 32761442], [71873837, 16104763], [3074288, 35618655], [15542368, 20631272], [52667792, 82693448], [48454155, 8428109], [49182806, 59801024], [15406529, 13086504], [79467322, 41082535], [21458583, 3008525], [23774683, 53883157], [21535686, 20210206], [59016705, 94913071], [81178053, 52605002], [55241212, 252523], [76733030, 69069367], [89277652, 46786008], [7848210, 96113674], [97927955, 80334406], [69435400, 47735622], [22233513, 29820488], [54123814, 10747313], [22229274, 80715833], [58181126, 79754410], [74356709, 38193060], [87093413, 74469093], [82677060, 85054561], [55975015, 80667766], [60241433, 93634007], [26750765, 36988534], [80269656, 87344299], [53556415, 13389715], [18917508, 10109558], [18646847, 67217663], [18180784, 11709327], [1789562, 28071067], [54004539, 71052224], [82141342, 44479049], [36732746, 28515912], [34873354, 57669183], [33133142, 57573069], [73074391, 15316368], [377670, 40571387], [30800125, 5047769], [62577890, 83152390], [37026455, 90944590], [34230661, 64650274], [82261424, 35705997], [97158544, 47378883], [12560583, 522205], [60015441, 441418], [37104042, 94701273], [37934026, 61153995], [30641605, 51252336], [67565945, 28281127], [26035346, 63663531], [23986746, 27154761], [38940554, 39713811], [40741554, 62991615], [37674011, 74048670], [77018064, 79460503], [24980741, 85909190], [38921661, 33400623], [62412400, 92054440], [9501227, 5586088], [60745716, 8831786], [72524185, 69909678], [7455958, 95695732], [65643783, 21918762], [91538341, 42095373], [93757611, 90639430], [28643325, 54457748], [732713, 82198165], [75122808, 51273731], [82247928, 96162145], [1912104, 71414288], [37584740, 88655205], [1775411, 61892910], [11508239, 91784126], [93252534, 66161849], [61789895, 97578437], [84705803, 76543407], [26724704, 25837902], [98905805, 45554585], [73015597, 97747154], [90742657, 87313262], [35728276, 72541008], [56487118, 90065158], [710605, 80177209], [23380013, 91843226], [1997941, 4438505], [71818294, 30594982], [64938526, 50989803], [34187601, 74614961], [55729709, 99982290], [56166637, 60189370], [66445916, 56877905], [17666836, 75804927], [27741114, 39254548], [1287107, 52110119], [34745337, 94488452], [76490021, 33109306], [36239530, 29892164], [77877629, 70747331], [74902003, 11849095], [15199993, 91555325], [94450552, 64131160], [86940796, 95503670], [89631550, 42760724], [95951701, 68377364], [28418270, 50232060], [71511983, 49126237], [43659662, 92211624], [8225488, 6050138], [11419103, 74952893], [45439893, 70106954], [41945514, 22973360], [23221315, 65057221], [95276435, 90733377], [75752327, 82082685], [59110478, 96175877], [24835876, 59245631], [9812645, 39549549], [5625551, 55037126], [27647025, 78935846], [83942058, 74804037], [15341105, 48502386], [36411632, 34515368], [88262372, 78968515], [51638189, 52298331], [41275378, 18776054], [23706304, 42889478], [64874784, 52425200], [91608736, 64132530], [92103537, 23274022], [53093652, 44085780], [64666755, 61799011], [75785032, 78134920], [89571955, 8627], [43615828, 30661736], [42297647, 32123652], [79087366, 80395466], [94605470, 79231885], [88826242, 29602898], [59811405, 48491790], [22462727, 11744297], [78304178, 30039023], [87840437, 56192978], [86348140, 14841145], [93426078, 93020718], [35549313, 64083745], [79098447, 59459409], [11602523, 20709682], [24481037, 37632103], [2283242, 6025259], [33222109, 7884376], [74775611, 217924], [71939834, 22735120], [36666129, 72957588], [30086941, 31782197], [83822605, 79760431], [88315999, 5100435], [38346567, 81913787], [63689323, 81528846], [54396434, 81189274], [75921975, 8622069], [69551567, 53136732], [19694748, 1974377], [84893991, 74044931], [47596052, 48691640], [11782518, 58270676], [60277234, 30360612], [91175614, 64645006], [71461501, 61135301], [12840944, 45295105], [77092289, 8206897], [54208488, 89141726], [75260203, 2616754], [48610832, 643542], [92233813, 7264429], [1135344, 5937431], [55492343, 14555915], [60102915, 12143850], [68071126, 19773681], [44843671, 89509114], [20699950, 91046922], [59280072, 99941818], [67684460, 7561982], [1758599, 83762449], [23595261, 20547301], [2822716, 79837835], [83227560, 62280316], [55436177, 50607746], [3784710, 98269741], [5041699, 51075926], [16752661, 13696035], [15900028, 20083504], [8995336, 20274767], [97986112, 11792761], [32871528, 70532985], [90581058, 71313344], [10102452, 45013165], [76494102, 31338988], [65685611, 15077043], [91167046, 6275835], [38777406, 23055104], [28970203, 21048729], [33808605, 66984255], [4037929, 64116276], [48314528, 71006850], [4283981, 77939813], [77412529, 70354084], [28240694, 60324761], [71124117, 91032925], [3945517, 56211617], [30309608, 6016406], [61382187, 75195275], [10409360, 64718606], [22393938, 9640972], [80364901, 17302290], [62292918, 63387706], [16454469, 43779055], [97632737, 54494080], [22545603, 2868317], [14629268, 31173728], [86437492, 14149074], [49158503, 89227297], [85010577, 25556293], [48571007, 18710779], [50865586, 50714083], [16844603, 78922237], [40353228, 15266521], [62292644, 98222609], [47952292, 13758517], [70542947, 30796145], [36368328, 31539455], [3492969, 41734477], [73924775, 10047941], [83915470, 6553659], [101415, 31062524], [56238305, 61506258], [56274194, 62102954], [29253781, 27492377], [70551787, 30810659], [61123491, 2587608], [81526095, 58173568], [81529157, 83187521], [60299441, 89557684], [53134565, 15574698], [55041467, 66873771], [24289889, 49258225], [50356485, 55407558], [24679619, 47403120], [58745431, 46592855], [44753688, 25487010], [35165536, 82706956], [48523293, 64064969], [45704687, 2497447], [75073164, 16202581], [22284931, 92046956], [33613576, 82509413], [43215084, 12051179], [24180035, 24901165], [52916766, 41136456], [18914912, 31594149], [92233282, 75441928], [97952956, 69686013], [11889752, 37916757], [83780870, 43350529], [48289725, 23633460], [91639711, 41092702], [57742996, 97639072], [78255084, 276457], [32725974, 11073515], [69815653, 55694947], [95722895, 75940268], [51419806, 86471138], [65553164, 13953070], [72761439, 73780852], [55069096, 55142613], [38160785, 75844328], [92309646, 95759137], [63433731, 57638824], [90609156, 51550467], [12826013, 6782658], [61259247, 54985539], [92748256, 75266920], [82166401, 25372177], [83055304, 18622696], [37041395, 59682738], [46839546, 33882817], [92287613, 12265785], [34303801, 41940326], [31711080, 75804343], [79305833, 98045270], [15221742, 60178324], [56819331, 51203226], [80820413, 83600793], [21561097, 88906280], [28574616, 74956999], [10369070, 15421533], [8822044, 95718675], [55292912, 11502404], [30396296, 57031595], [75524387, 77902465], [84487875, 46960053], [29333916, 31006979], [66068657, 56887206], [77203816, 33819783], [53155477, 67237014], [24522777, 61294992], [1502599, 8250524], [46147128, 51779975], [55897044, 84565367], [46826842, 99448065], [42527847, 7098933], [55231407, 61165865], [13315975, 4035304], [49405430, 66070901], [11276662, 23156838], [20171743, 50908473], [319469, 82352107], [70726693, 65336895], [42796959, 49260658], [91156604, 37904757], [28573139, 759717], [70360728, 80522940], [20537772, 88909258], [69216619, 46983179], [92874466, 28635209], [68938441, 78223890], [89107321, 5662346], [7635966, 98967943], [90380382, 98021909], [92148299, 96294178], [86880190, 20113210], [80416977, 83946522], [8721103, 37838777], [27445156, 270446], [88811925, 57713758], [45551499, 76595018], [79729180, 86740990], [88345592, 16259459], [73285708, 74218975], [18077472, 68033213], [96236433, 89854206], [47547814, 91605441], [41402112, 91161655], [7804760, 10033817], [35870602, 65858855], [80974954, 35033981], [9119004, 1332196], [51656878, 44119703], [65743248, 81423453], [20384672, 13149249], [65008943, 16624757], [51159947, 95763001], [32867503, 10800345], [20691044, 83241873], [59053205, 93273787], [29264874, 36857844], [47488233, 80405167], [84622719, 32002348], [97134257, 94859373], [44434520, 61904011], [1623302, 97434311], [80637783, 44833861], [30575101, 7774387], [14639475, 43864583], [27836729, 63931831], [22781420, 47427922], [79798540, 45078347], [80237793, 6516163], [32408451, 23497408], [28505095, 76178131], [48229884, 22962065], [1469570, 35931046], [75747475, 31965167], [83616204, 99557285], [1432741, 80701201], [82259857, 12596243], [18350685, 92775864], [63616202, 76111230], [8459900, 86333219], [60360449, 58915918], [22015022, 97940174], [23891836, 48656853], [94490383, 34557939], [36109488, 37787246], [84474976, 81779412], [63632519, 77473052], [64867135, 39557050], [95114881, 36862776], [14745637, 63246017], [52400, 79875847], [23363837, 46093499], [70766012, 12694383], [79963109, 77931512], [90312782, 33525678], [74890094, 60108645], [92360810, 34379772], [45876902, 25768685], [84193566, 16597821], [15555073, 53335481], [70444089, 99908510], [29660415, 47276176], [66931828, 96461588], [78118164, 70009259], [14607338, 1520693], [83462290, 92890402], [27965239, 94007492], [68644789, 84767044], [88965256, 85211319], [14720102, 14488487], [80865486, 24171812], [5538535, 79876181], [67305019, 52983236], [51497603, 43698694], [87934987, 73396128], [84173986, 12956257], [81046483, 63698669], [76740957, 35133745], [91619453, 97830835], [61592489, 87428464], [23980131, 58124038], [29291409, 98523927], [48837389, 32625304], [72936579, 82122305], [12803709, 10494206], [27155928, 66441076], [80026487, 55878019], [68607454, 44210364], [48187277, 89037164], [71298669, 99647830], [91387159, 75593102], [70893876, 43461276], [10353333, 9163656], [49873070, 6946776], [96003999, 15108422], [16309999, 16522836], [1051669, 66147792], [37922064, 74246133], [55404545, 76703279], [62870812, 7412670], [22504846, 43535349], [55995527, 54413185], [32146420, 21924175], [7142216, 71855282], [96598967, 21257739], [45008215, 1092839], [78537720, 50260267], [88709017, 96397469], [5714473, 46012659], [96539513, 20000605], [18603477, 31029541], [49352582, 49410348], [48903215, 30334270], [31102644, 69473117], [20530488, 65304882], [38020211, 97162587], [81217240, 23731422], [37680352, 53826159], [28443657, 32210671], [54446726, 54491724], [11684376, 57406362], [74602645, 27902075], [25765479, 5863963], [37073629, 58960903], [54766236, 78162924], [39089803, 66656996], [92585566, 50869681], [94808971, 69802167], [56776341, 60389395], [29598120, 36486277], [17091154, 42278656], [66165195, 15338277], [13476657, 82519180], [99796051, 40808223], [25223339, 87946398], [94361938, 62140810], [66095884, 15084928], [75466888, 68073672], [69531311, 83694452], [13219793, 18313609], [80861529, 31376], [20018575, 42838395], [66228898, 53653266], [70111190, 56310910], [87828512, 89925881], [75647194, 89671746], [63637657, 53892768], [74328261, 26827719], [70841410, 28396930], [41801301, 61090057], [17600242, 29352418], [25093454, 43543074], [11115991, 81348651], [27878486, 18746353], [77202252, 70186389], [91899270, 79358681], [945855, 63955869], [71354553, 50683916], [39996567, 16139880], [51796390, 43617715], [17318972, 70110785], [2554174, 26480568], [67071571, 82296333], [56618134, 58724313], [67359644, 46348036], [98284311, 53303599], [47750609, 86632418], [15839295, 30213943], [3810712, 36162402], [20360916, 13905315], [62696515, 57919740], [96591043, 11866891], [28981534, 35932054], [95913893, 99685498], [38899140, 5685575], [34266918, 98603633], [62463716, 50287298], [49784320, 5208677], [13413747, 53855596], [10801770, 9029193], [29296348, 92133394], [84727969, 98031704], [24473036, 22939373], [58579899, 51840345], [81600063, 8808244], [84236053, 23788601], [46616478, 45321260], [12518224, 38936528], [85351416, 85046192], [77949839, 16383551], [3723152, 31606182], [60258599, 36813281], [92655831, 87100543], [28712109, 72772032], [99540069, 80464757], [57824264, 1304180], [85014573, 1470626], [68301211, 93724246], [88834894, 73791611], [19152552, 3347832], [77565042, 86034282], [46641890, 31879457], [93665252, 49885803], [6581998, 50382313], [8437239, 15526724], [97780986, 75852633], [70891968, 59671406], [2584843, 56080993], [47089475, 33973996], [66897741, 84438202], [8202549, 50162263], [1756687, 17144044], [17931950, 28954089], [91057763, 69272909], [26630918, 44911693], [45460442, 15960701], [5993291, 19313413], [14659168, 29868735], [48416783, 69639124], [93801430, 48390367], [80282554, 4532516], [27342551, 67184714], [31491840, 50242263], [22545032, 78355441], [72852165, 72615721], [44957565, 72652103], [46756327, 69586530], [87842224, 24637857], [34954100, 3201955], [65647184, 72002902], [8139978, 85903838], [58441884, 59067280], [92738292, 28837424], [56261353, 98733763], [84577315, 10430392], [22569238, 98915136], [85879809, 86226471], [52407463, 42323130], [97984228, 51782096], [60756229, 73107961], [97160457, 40543063], [37027165, 45762040], [77069290, 37947747], [38583244, 56336106], [21235776, 50219044], [90926403, 29480599], [13320591, 7182363], [72171010, 72861968], [54703348, 64023055], [84488784, 46349997], [37064608, 68319319], [3234927, 59294356], [36216275, 94151884], [8897249, 83801143], [80469605, 32693200], [74615692, 71299763], [52056859, 33134864], [72745624, 75497882], [78652836, 87334382], [34338419, 77944743], [10736714, 3236940], [14276255, 55256011], [43822148, 21367340], [67934096, 12217146], [59335032, 7282246], [20880181, 36419228], [28843148, 53075579], [97549570, 54720129], [90475234, 89018066], [21723902, 51196534], [86306430, 9048243], [285686, 65106509], [40908612, 94339684], [3762234, 22391621], [2983383, 49961428], [46010617, 68149431], [88776303, 67382930], [45685479, 6849738], [24994166, 61799272], [61990824, 23509568], [12572204, 53434346], [67797648, 3878346], [60225498, 52391157], [13357445, 79057527], [43494122, 82913777], [41936767, 97437624], [79836730, 67105332], [76420694, 45880647], [91039796, 32989024], [30701168, 63469200], [74799389, 19190384], [84026128, 92420157], [73051491, 54327256], [11830282, 49915790], [34656006, 74061405], [62729935, 35026723], [31459492, 66611411], [29972484, 74631711], [10300801, 42110722], [48840796, 40787658], [58161063, 52865552], [94542897, 20934487], [85142398, 2489968], [5243373, 40698681], [2640589, 3526887], [98496950, 52736023], [30076843, 95015174], [41418321, 43293551], [58987114, 2412390], [12700673, 78262489], [4235625, 94689139], [32290777, 19378067], [69062072, 17210606], [15226568, 75861648], [86997344, 29687750], [2488458, 27573275], [59197898, 11897400], [61199765, 2814329], [28229287, 98214966], [87390645, 24336609], [25949365, 69132621], [88448492, 19656798], [42575860, 50184920], [48108941, 51481573], [11268776, 31277423], [15168096, 96150804], [35725723, 54096087], [96322757, 80729796], [12728572, 74783892], [89097569, 1667027], [16315827, 5569975], [43562092, 31519008], [60657203, 10793142], [20479107, 92415566], [27094598, 64260294], [33435244, 11056941], [1827295, 71306199], [76817029, 20805701], [98292964, 5686021], [12817782, 90653529], [49925324, 74989056], [97924050, 81633224], [42617934, 97061494], [19218730, 61899424], [17058183, 35713326], [84122746, 5967976], [6824897, 64880494], [40546851, 82043828], [11332002, 41186989], [34853349, 34376251], [90021036, 98923640], [69952658, 84323362], [86575575, 99178338], [58155218, 35309993], [85525082, 93535517], [35386589, 82213159], [70841175, 32246992], [2378157, 30485997], [59128254, 75690278], [76201803, 93765686], [31637448, 79963260], [4813784, 90806149], [15644627, 44298220], [73512689, 5029712], [12835106, 77570917], [37467581, 44838925], [96741105, 41206033], [93577558, 96610035], [32088333, 56545020], [87500541, 11091711], [52867939, 50654832], [14021494, 72237081], [82148220, 22780920], [87771083, 43766314], [40392878, 86721166], [46626282, 99267540], [19803966, 13873191], [33337169, 18992725], [79076990, 73762004], [33161426, 69085631], [64078705, 57790083], [44928481, 57751807], [83502837, 3401224], [9048196, 841426], [43686858, 23596447], [72142031, 92046450], [73988550, 84240054], [76090209, 84021106], [22459099, 42122056], [75866984, 63598260], [34413709, 5271600], [27065778, 99100043], [58665922, 92185583], [7237917, 21776723], [90883730, 23026017], [98290199, 51414657], [51341196, 17509356], [79751866, 92187993], [84349297, 91011933], [46974860, 29281424], [58237642, 5524708], [7302085, 16543904], [52676282, 71595205], [93975527, 44211292], [75040329, 78725662], [76193032, 2258298], [76896940, 5125466], [96621137, 40192784], [5596189, 87221317], [73201540, 57741991], [60721031, 64982340], [93347086, 93336397], [56270731, 79668032], [23828326, 46176572], [90533365, 33612035], [64311722, 25791798], [12242780, 52514441], [32512150, 68156555], [78219312, 63209331], [94813035, 75034578], [39949208, 47654578], [10934407, 22400376], [74156430, 96593323], [60406034, 29132184], [2648999, 84826213], [96029944, 74263048], [15581746, 85418382], [2856758, 57316065], [50594113, 3757653], [46416679, 26458351], [12465593, 24439177], [18521182, 63614763], [26041443, 21982263], [6373298, 77728751], [41918676, 75522977], [56589772, 68443301], [43169592, 99854004], [55860873, 45465102], [57662652, 4805649], [52078977, 98736748], [71816267, 1106435], [44782378, 28844291], [57476421, 79889682], [76171019, 46256377], [67939740, 97982247], [15029696, 43224830], [12506010, 62045999], [6371517, 77908507], [26833855, 9253275], [80449130, 5200611], [71682491, 80566696], [16479845, 69811208], [50978663, 12516717], [39096017, 97896855], [72204066, 64303925], [77456514, 21498136], [19731148, 55594814], [77833283, 44989008], [10889156, 65518372], [57646826, 72624801], [98132803, 76850932], [86051763, 37728299], [22324539, 75531189], [25454784, 41974172], [75931026, 38806694], [93560682, 30951052], [24907583, 58887454], [43246487, 20572312], [82835885, 4851792], [29235153, 71710445], [34228112, 41643993], [43954099, 73775223], [17536483, 22569322], [5743282, 54892659], [74827389, 41201009], [39747107, 4916407], [79589441, 16073268], [53251780, 12002924], [65438990, 23678394], [57065983, 26081839], [1111008, 1012447], [57801886, 57223452], [26531099, 19627500], [20303633, 23145606], [8748623, 43739541], [38700132, 65682231], [96085809, 79406145], [70751828, 69955866], [1412603, 46083252], [92501216, 14253327], [70323279, 68151661], [6173004, 89522223], [50934692, 54627075], [75562193, 10414883], [23749904, 81893774], [16299821, 43453341], [62893770, 56603050], [62108594, 24075893], [14386034, 75685326], [32349927, 65083622], [61989139, 55344873], [66498262, 77450975], [24360717, 92836964], [65981375, 79837382], [39311307, 64326480], [78960240, 18854966], [94413199, 51773178], [74915754, 35066539], [86362381, 63570896], [61401585, 49973343], [30700028, 68825743], [86359442, 76148821], [40348095, 44621408], [92213444, 82781239], [5871612, 34803526], [4006843, 65853917], [38752311, 60192241], [48274770, 65493919], [47076731, 47964508], [69211407, 93595309], [62923472, 72217036], [62053700, 74286558], [75672377, 30195230], [34058849, 83810229], [54258818, 3681100], [34465662, 13457955], [60367684, 50348011], [29066049, 24863923], [39364998, 57233290], [43532787, 64648034], [54097563, 89070035], [60326928, 20793791], [86693304, 39109821], [23009920, 35722786], [60707888, 65505768], [37149662, 91246827], [17978146, 10735016], [68406519, 97806573], [45942526, 51363], [73142261, 10412845], [18723267, 6655428], [33820837, 68798710], [30509665, 65096039], [29726467, 3294172], [27897895, 10107869], [67754971, 12946214], [29414314, 99849477], [57372599, 42325085], [54487144, 55368134], [77566858, 43861017], [50964048, 91347433], [77438159, 52758398], [20010455, 17396531], [20307796, 4151569], [86524079, 46284680], [89548213, 15416558], [40961099, 79137142], [98520632, 12271987], [75694432, 29926682], [60121301, 51747696], [70013061, 97421275], [45995424, 15827834], [42779454, 2848097], [70586086, 12738018], [77573444, 26356818], [45940755, 21287410], [33487803, 22655262], [96670218, 82800924], [49386876, 65571992], [79303171, 97208642], [75764860, 74443161], [99634431, 73656835], [93700320, 14928256], [55486626, 80274219], [2673676, 29100759], [87447912, 63761488], [70377575, 49111418], [92443087, 33308682], [59143090, 85604627], [30202643, 5472000], [90772858, 93689125], [40210206, 78126476], [9255387, 17816179], [73668111, 50912571], [70625152, 36397225], [87733404, 89341107], [54895789, 2586924], [15983982, 45258145], [98799838, 56365209], [6222514, 30245502], [14730929, 13411559], [77746363, 56069136], [77224347, 85268927], [89001984, 74113738], [66664292, 6862428], [11083259, 51531914], [41670320, 71352597], [68768041, 44003863], [57978873, 10505041], [83644254, 30310730], [53752817, 77601225], [96401628, 55583380], [22351852, 1994050], [40703033, 92133639], [19129077, 76694305], [46744028, 29501730], [11023516, 62931257], [25004528, 35232497], [60074899, 31243012], [19990377, 85934958], [46316133, 61044598], [24905195, 93948862], [6112551, 50133269], [56730982, 7050466], [54883475, 96076671], [48125919, 42962451], [39129828, 44748133], [7161499, 20409836], [25828691, 88607834], [59112558, 19613909], [5245657, 62181767], [35146296, 92032317], [60437211, 35582846], [3479889, 88684934], [98814942, 29007039], [46376334, 855949], [28560963, 30442429], [43383858, 13024052], [71154250, 93480670], [71599763, 93135862], [20155745, 15834611], [76196084, 28216136], [17947810, 607275], [35159658, 50579593], [26224904, 83629484], [19256180, 13333557], [27945126, 22910460], [63800160, 62675157], [6558384, 67511422], [49847077, 13629205], [72486706, 5617605], [97699093, 48779595], [79273642, 73252769], [43468193, 37641807], [3349660, 30905803], [99691551, 47484507], [9861684, 34082294], [66877625, 26135984], [33225435, 593007], [46993511, 84505339], [22592967, 43403038], [29618201, 98427257], [71772517, 40422437], [54294885, 78206694], [85527124, 76158666], [57079365, 59198156], [9585346, 97122202], [64887664, 26133171], [87974880, 19797491], [26051719, 7602524], [10354286, 64064486], [47812164, 5162495], [88688832, 31452540], [95395568, 81209617], [58154466, 94823749], [93816524, 4151115], [10931414, 43415319], [90194580, 7727918], [63892131, 96252185], [51547845, 56646442], [13188452, 19257124], [56230907, 1898497], [91308563, 62076219], [95512270, 33384344], [83264169, 5624101], [12096361, 9243042], [41273543, 69904478], [46161125, 85376555], [56067161, 18992204], [95385850, 72879003], [91182944, 11404702], [63310356, 23345453], [38546989, 69946646], [63025807, 59073973], [49496904, 25435210], [22193793, 2550994], [60360043, 71660103], [87675084, 91424645], [17943050, 10322303], [32648827, 40645804], [20866652, 7003836], [55163799, 12248416], [34292912, 69877860], [65100616, 54481445], [47249895, 8220919], [82322445, 404010], [6000525, 99224929], [59452976, 99138867], [35761726, 26054368], [89344170, 24121623], [6154935, 68399137], [18622305, 71444939], [71404871, 15432157], [65554582, 39497326], [28629336, 19301765], [89750402, 59512102], [13925489, 67089190], [6235969, 27097522], [32316723, 51578945], [60833116, 19535244], [9820563, 80130598], [4861406, 27175673], [77732417, 51264709], [72247921, 11171872], [90654519, 4899493], [64621861, 94023193], [33580982, 78478586], [24238201, 48683642], [94123162, 21257511], [54732645, 53392466], [59045006, 71945550], [1790670, 59050093], [70821350, 30913783], [34878996, 11941323], [63429888, 82173275], [25017065, 94915088], [21127810, 93517176], [43803298, 4146072], [11604350, 97705189], [92043711, 64940401], [79335791, 57210879], [63131972, 89306879], [62179225, 66621687], [80193992, 35400927], [3258801, 35534372], [59326766, 95312571], [26738192, 48921207], [53523599, 7097871], [2417139, 39971871], [541578, 99532861], [94369469, 11320127], [60382929, 18979102], [22571190, 73655417], [72556661, 785909], [13560121, 67350871], [2999899, 94281603], [16613406, 89126602], [40539468, 99175769], [52384022, 46566771], [19424058, 62209977], [78266501, 23387662], [58930990, 68400260], [53142678, 10098357], [8974719, 95504859], [11989306, 12366409], [40895684, 40660843], [60494505, 32546761], [96883153, 35626159], [94484230, 69590373], [5944987, 18425481], [36322547, 37577723], [50296165, 71117732], [18975933, 13183447], [91417151, 39794585], [22289501, 48279076], [4226393, 72300290], [6192632, 42354142], [47376508, 55360952], [83167544, 72800129], [83518113, 36381735], [13039931, 72018074], [11595944, 7842547], [85180465, 49500937], [25443245, 60701382], [7269671, 87700045], [19642941, 97867564], [95951096, 44450939], [93493982, 46491810], [46963614, 34184142], [43078607, 29786167], [33744822, 62353306], [77246573, 1141166], [39122347, 32897058], [93966664, 90834068], [8870648, 472804], [48713158, 25187715], [28853113, 35296508], [17824804, 25316309], [34323019, 77261745], [13995932, 47981783], [70067267, 9381648], [27476848, 68709941], [27902182, 61630083], [50810643, 28885051], [75827660, 47360553], [78104445, 69098777], [48809327, 42052350], [8978568, 9323136], [57994485, 13200451], [54040519, 26411865], [49048605, 51612651], [62354595, 30560744], [459495, 73430431], [52359941, 81453216], [13519494, 27939861], [49921265, 30347163], [1211623, 29308942], [34535590, 82985755], [8414293, 82299275], [70614961, 6819883], [60269142, 71777507], [83492800, 95406144], [76483228, 96726441], [99143180, 32164234], [15645057, 14394377], [95504164, 46641933], [802801, 71336451], [6911702, 25283771], [10527985, 3200806], [49948444, 64742812], [45847417, 44067764], [27596518, 85035911], [32820886, 96759607], [58059939, 84093792], [34706331, 79856205], [84155710, 21295633], [77347583, 23010821], [94999759, 59275224], [14049661, 85298291], [28431603, 42934907], [64171067, 58340249], [13808502, 87525742], [86998390, 31464064], [81452906, 36034548], [42567033, 49730780], [90199206, 73175793], [8297968, 76282837], [7679624, 84778506], [81485815, 46654477], [23691133, 33830653], [74853656, 80548280], [64807006, 46391463], [32958734, 73661474], [65454541, 1141093], [55111832, 80674339], [48018937, 73458874], [36909199, 44518997], [22543219, 51350058], [4516186, 60959713], [91884904, 62279645], [98094913, 15638888], [71364613, 54202822], [2797151, 96667798], [57899261, 91527997], [76061591, 70247266], [65794097, 94308081], [73798368, 79088660], [29484397, 87939269], [1565726, 68962764], [29606165, 64991069], [11709589, 93410996], [14960613, 42049142], [70984736, 95478561], [64069621, 57289000], [91026011, 14021560], [59581702, 61876363], [21171428, 74147629], [56272559, 94053791], [84433159, 12878420], [68055895, 47260465], [47066059, 46148638], [52516723, 74711195], [90458761, 90640333], [62490898, 60898909], [34834549, 54947833], [26204366, 24490908], [48682354, 24762434], [49892545, 52827640], [45603155, 93244870], [64977720, 59694709], [15748167, 29673015], [36810916, 83478835], [85786178, 85287590], [93828054, 24234611], [53343739, 32049270], [73213324, 65727284], [88635855, 46002561], [71447254, 15928427], [83663202, 46563598], [80020175, 43446001], [99341326, 23733231], [43069425, 86057270], [67013291, 23081316], [98554736, 15427858], [65267045, 46745466], [79095710, 46743802], [85770600, 61433974], [88268817, 59085908], [50405397, 20272626], [54262510, 28220813], [49358836, 34686670], [1389491, 89334605], [84451663, 9392418], [38885654, 33445195], [40066511, 42333991], [97650080, 39212926], [52249236, 37250664], [26527393, 30435231], [82961514, 49490812], [77878989, 97350588], [43559362, 96280159], [28046335, 33345812], [89918601, 43945245], [56552163, 74320847], [10505628, 90145826], [39742198, 17167863], [86954392, 1055584], [40003045, 15277432], [11198058, 96161061], [58178627, 94396428], [96811781, 16851836], [97358398, 20188013], [92232877, 64591702], [17272237, 61762481], [7597371, 14734456], [83229731, 68138091], [81508351, 68905746], [13287438, 87973056], [13532616, 86773850], [25426048, 70093263], [86541087, 1697335], [31176407, 37687269], [34585694, 95593741], [83502912, 89503536], [54265011, 58054270], [38195447, 96678437], [18637068, 54888368], [10619560, 84956009], [11696011, 1297893], [71675862, 35298138], [96806209, 59961989], [85666631, 13906207], [80266827, 21964373], [91634677, 45639435], [27595522, 67676756], [23519274, 41844075], [2504886, 1083565], [37709415, 6738211], [12480730, 68920493], [57304328, 12439118], [76997485, 68619449], [20506085, 30694688], [26797228, 6978903], [82378277, 61517293], [55992621, 60257290], [53177750, 68153971], [54463309, 53249015], [48631691, 52948984], [75413957, 53096856], [76107728, 35704984], [75804900, 53254394], [28024754, 50575312], [68522626, 94657476], [67138612, 24160207], [29628942, 79402343], [51016268, 24293843], [90864518, 56633705], [59322249, 69058150], [21421277, 27663150], [5407218, 13880575], [59326636, 31138616], [2036815, 94059957], [39359432, 93159472], [13644040, 39653055], [58249431, 11710395], [47920105, 84809677], [28181617, 74413425], [96664055, 85533419], [21399726, 77883331], [9486006, 53281837], [58140980, 70848911], [50600199, 41550689], [48871377, 47523482], [11136023, 40850389], [98723005, 57468012], [83722653, 91010963], [27951646, 29892410], [96733517, 64207619], [80831849, 85701755], [71490462, 68228665], [78912769, 75265978], [57091954, 76661447], [74082499, 7930581], [76053801, 13596251], [72504536, 26606212], [13063654, 55602103], [86082908, 75554434], [19478425, 21591363], [92154225, 47274719], [13870671, 4617487], [31330377, 51505685], [79856594, 23492899], [7812144, 28334600], [92241247, 97738917], [3776017, 93498291], [58741237, 18964656], [20969045, 73253412], [2217999, 32120106], [45104018, 94899682], [87917263, 1141649], [16824381, 20728267], [70172461, 43001681], [14531023, 20298076], [8623410, 81748876], [75308885, 29249625], [38757923, 23020524], [45070986, 73114980], [67554659, 44181192], [7666545, 23487928], [29152635, 82526479], [96669176, 63052639], [2674974, 27953573], [38095123, 94018832], [88071136, 66880404], [61147964, 51657453], [83358014, 27130585], [73596432, 42969580], [77986830, 36206910], [61376724, 57730549], [2543618, 5126373], [59554300, 67757890], [42755986, 47762689], [11825016, 43571863], [37219610, 49160619], [24908398, 85980854], [39208111, 9584864], [43328904, 33628960], [17904402, 54929277], [55864601, 57532700], [38292236, 55502621], [29297388, 37609399], [56195871, 6394297], [85732131, 46287873], [41541743, 9931458], [7232408, 57077474], [91508260, 10705489], [58626404, 55513725], [82962590, 95129708], [15425560, 70646008], [28042913, 21726860], [31622267, 13116724], [11513162, 36536130], [43789228, 25865930], [95574348, 64943416], [86588656, 63182820], [67587244, 54062099], [94233765, 39532082], [80227032, 77881110], [2372851, 92477461], [88205586, 84499407], [40864434, 3742365], [88686454, 90312783], [67969276, 95456761], [98305, 22061491], [73203186, 12463141], [43743687, 69184681], [15032032, 90212512], [3820036, 90603315], [53580448, 62766788], [69435832, 69102834], [64441445, 51321503], [96374697, 61076021], [85636054, 11104533], [72557570, 13692944], [95109412, 35614747], [23115171, 659119], [44204713, 16947697], [63696836, 17702790], [45878931, 88013978], [94833996, 66306775], [60989217, 32555466], [1605253, 99736706], [42484924, 64485054], [83682251, 1537407], [22203997, 76785110], [44342852, 9993645], [48891809, 96589191], [57842594, 78639525], [61165986, 77027890], [32215021, 95662228], [84716606, 35785554], [64026377, 43485685], [70721474, 73143667], [29729667, 95129167], [41424833, 15040552], [90914799, 53640066], [97931039, 83265053], [65189787, 32257680], [74046496, 90116610], [93998845, 29986673], [38246636, 93251287], [80008852, 24568963], [68023467, 93295908], [83251465, 21727136], [99609407, 6475253], [49000039, 99681015], [96527999, 91584252], [98333390, 71951514], [98321480, 94193876], [34455866, 71078308], [68874848, 87032765], [76123380, 52290323], [44494134, 92073964], [20892940, 23283194], [96705886, 44740107], [88757972, 69809270], [90905881, 32749855], [69550798, 37856303], [54299303, 11146174], [76926967, 43396750], [10606684, 43495903], [6144786, 90193737], [24868917, 11952683], [83952266, 97894844], [99813552, 26673184], [76466764, 9718159], [64476424, 49221531], [85583782, 50414313], [57805540, 67830108], [23332742, 83686178], [23887639, 21028435], [99522410, 97619685], [98313302, 57923574], [5366011, 3475757], [86273302, 94862216], [45379788, 86192271], [35961736, 22781005], [29061850, 50114397], [16845683, 38706293], [39753188, 92553680], [97177341, 69713808], [40615283, 79824542], [28798866, 61017307], [22638310, 80183867], [50487802, 27829719], [99407782, 88035519], [79090049, 62432752], [15357786, 96822315], [16200647, 60173928], [40618512, 32189921], [39064951, 27742091], [72027612, 90598307], [56816454, 87531556], [48227469, 82111001], [4227214, 63041566], [22207203, 30632011], [26022484, 12989196], [37296733, 36175124], [39586134, 86992139], [26891713, 77010793], [45383720, 44872983], [44569373, 26522383], [1537061, 46031754], [42690177, 29822079], [3237870, 28784948], [96581950, 53877880], [56242375, 73716184], [98763440, 75552185], [20179541, 11716414], [5657490, 82392705], [26921846, 93380199], [74341714, 44138561], [61922120, 55483253], [90637283, 20292709], [81634924, 82389060], [58593312, 92011882], [85085654, 36632334], [76142027, 28601579], [9708400, 36911144], [10874483, 77371905], [54750451, 44208217], [16864724, 40242631], [23088298, 87477518], [13083927, 29899542], [2984350, 75840158], [95184401, 70555855], [57182417, 79099261], [51840149, 74496007], [44306929, 30577326], [70746312, 62705006], [23498994, 72006127], [14384663, 5547043], [2698246, 13608681], [38549827, 93980816], [79004974, 57730465], [88494007, 33396694], [64074920, 49357345], [96098503, 44425482], [75985182, 72711184], [26342902, 51634930], [34783987, 36082376], [99879023, 69549425], [93733694, 45669152], [96152966, 20522483], [94738365, 33172168], [5320083, 47224659], [82648067, 9823227], [62686215, 91727504], [73236541, 63331138], [43845452, 93639338], [86275759, 20805856], [48462115, 32021221], [1641784, 4431814], [90672445, 74703290], [86241931, 11297859], [53368351, 12295355], [82473253, 13882901], [60019227, 60801756], [20184317, 46057300], [42209544, 46307752], [37209831, 35261362], [70970063, 33075189], [41960366, 80576942], [79591665, 55758946], [26056886, 21780966], [38248134, 47486048], [91883369, 24797905], [8899054, 85381314], [62672651, 65007689], [25240344, 21400934], [76732837, 78746680], [56700738, 22759704], [83099174, 87733811], [31809107, 29286057], [23010045, 86593542], [95935761, 13487903], [45212423, 30391891], [55619648, 61557863], [92609579, 74392163], [42208728, 97590834], [80930752, 30531567], [48605667, 94733299], [75338030, 93082347], [93888603, 62725233], [31024739, 51495480], [54194244, 88239802], [64633284, 26964701], [8821109, 58122497], [52458734, 35548673], [72864615, 45919217], [15023817, 36651779], [4316269, 60635827], [72364098, 20762156], [76309942, 39792821], [43768265, 57249718], [15402679, 22042720], [46210559, 66189288], [71726407, 14809953], [89288190, 88262185], [86926585, 87682206], [31494632, 82084166], [41500084, 69341570], [7726589, 73119622], [39105279, 9751890], [8210342, 15114700], [32115571, 51786012], [9455500, 45824178], [14580524, 48057219], [7307882, 50542720], [99537614, 15516357], [64337278, 19064257], [63338210, 35610448], [65592426, 18036622], [48812810, 59050803], [36818217, 70865819], [57902800, 88094263], [53780843, 42708674], [18989497, 87455477], [40950143, 43675689], [5050102, 77186509], [19068845, 83629065], [49532923, 64915850], [4910796, 54080994], [75783436, 93083883], [66013707, 91019107], [78005738, 18160712], [81047627, 93390438], [69595067, 62629896], [52697044, 15424877], [74656702, 64869289], [42749993, 54666953], [65632917, 27016435], [17152306, 61925696], [72982422, 91643403], [76976275, 15199755], [25656350, 28330594], [54798031, 64820600], [37309249, 34028575], [65921523, 90192319], [34600573, 55246988], [9209675, 71994622], [37815743, 20045831], [78275278, 8261151], [42496688, 80081209], [5039101, 15613123], [42187618, 47682726], [13784131, 96438921], [38213236, 951995], [74951736, 35809282], [31852807, 49123034], [37764348, 93184027], [80263179, 68846559], [39424776, 1793678], [30059112, 17737120], [22047689, 38555959], [63498783, 325982], [60866338, 7374125], [2186319, 38436391], [27564817, 89683400], [17461221, 98647582], [4538486, 57707487], [26648434, 34410762], [26407742, 25761237], [42418941, 14375900], [89986177, 83665666], [1726174, 56938090], [82207328, 2657418], [14392673, 93297330], [63600606, 58263504], [238428, 93645527], [56483328, 82006990], [67989942, 15649814], [4880036, 82860759], [84548378, 83778951], [97971556, 90805452], [27839287, 90087477], [37027518, 87476638], [86763987, 33681603], [67888865, 73016672], [69868355, 79961916], [45169226, 83045020], [93055941, 74694330], [54704853, 95185832], [42442237, 99082057], [69676951, 62276426], [53596568, 56978460], [6229225, 53175409], [48109027, 61010301], [84435433, 78055486], [68081188, 37784604], [57525337, 24531331], [27393793, 54645445], [69984398, 79567240], [45400014, 37254650], [29402616, 72182155], [68294882, 2382624], [20225620, 6283097], [51300531, 79650808], [97622440, 11664219], [30634499, 81625542], [60271403, 98525035], [66761528, 90295489], [55636309, 83950763], [83267528, 96922211], [83847571, 49924639], [36270693, 28857299], [97707959, 93455063], [13824430, 46701661], [73204714, 55680555], [84221362, 84646461], [8483479, 19992342], [74847029, 93902835], [51931974, 39478919], [97231184, 98011900], [91120785, 44954432], [12405636, 34052249], [76919856, 45816369], [25570182, 40298979], [48889222, 1408246], [58753268, 42247101], [95277350, 90456374], [48183152, 38442267], [47965228, 51828219], [13200070, 96525133], [52689197, 15063971], [98846286, 71173347], [71358065, 78004819], [19270148, 92665948], [17825819, 84056144], [95284723, 59261273], [75145599, 16787271], [72087509, 38059549], [32667736, 36452968], [41004294, 56096177], [24064503, 29870490], [13196005, 35319237], [3213414, 72589990], [42708246, 26692312], [56085425, 2323768], [66189222, 49447612], [21390382, 70254748], [24918109, 18719028], [46991011, 42009653], [41678363, 35912489], [56239021, 82057339], [21292815, 99048131], [96110320, 28957649], [258516, 59110394], [7341154, 68867470], [97076859, 41323469], [77697928, 28623919], [97357182, 82123128], [59597760, 18835805], [85919340, 35528053], [79668048, 37271728], [819266, 38462788], [34278003, 86596115], [56683526, 15094239], [80838602, 72725884], [21802333, 23850903], [24927276, 55887202], [8100458, 75494980], [180752, 90751510], [42186927, 52526607], [39676812, 70861438], [35876859, 78444594], [18564595, 89642286], [45742319, 13850611], [61355442, 8498626], [97156493, 177118], [6079116, 34725892], [54519143, 90269124], [58703435, 72996635], [5266723, 65785842], [17302659, 51566897], [47510722, 11211110], [65931705, 87225324], [1830603, 97029127], [34840086, 21638967], [88451049, 74141140], [51506615, 1887928], [70174791, 65962442], [6352037, 75988772], [83861224, 67055170], [17388228, 81828580], [3498894, 56253278], [99807315, 99121867], [59294877, 16870369], [98505079, 50283080], [11202438, 8679567], [56489779, 90836339], [16063883, 54022740], [57764119, 63748544], [60190273, 30583349], [91822397, 96629889], [757113, 74842359], [18092038, 35970815], [86387357, 6900638], [31798282, 98339133], [47677092, 19799046], [27126862, 16893691], [65495784, 68394471], [32585165, 23529355], [85675440, 33282564], [35903407, 74110487], [9660759, 68179827], [29002183, 91129692], [79808726, 42067469], [64600388, 13915697], [42669223, 8220654], [21857781, 77913667], [75363685, 70615302], [28880255, 56915808], [20495093, 18357418], [38789499, 61461375], [41147913, 12126746], [46485320, 14786178], [62114302, 92430163], [45083690, 95842534], [63346444, 65510535], [73589055, 54925240], [87155181, 66716106], [18029287, 54246643], [16038436, 72621786], [95665945, 60910326], [25354452, 98872682], [42246434, 6466044], [83861926, 73726737], [91786116, 37370273], [95846498, 75957690], [55689474, 78417244], [24136117, 38181562], [98881998, 74819158], [90269044, 66443454], [12697817, 49385863], [27640831, 74064760], [34496831, 83912438], [94557932, 40178570], [15478288, 27966846], [19340445, 70692019], [10703119, 61459530], [93103460, 35863932], [91838662, 83754232], [73697929, 18250723], [81015550, 26710211], [20829139, 73272215], [26090648, 60723434], [38426142, 41487928], [42271254, 72067591], [94166276, 18958770], [59164935, 76162942], [2775529, 7924584], [28079, 25919596], [5186106, 17951492], [28778314, 47095772], [51998185, 30053075], [68636382, 93650790], [89193331, 49994038], [23716074, 10603350], [91225299, 94217930], [27076656, 86092466], [52029031, 94549624], [78692402, 98838699], [2008465, 18067319], [99397158, 44454609], [60819619, 52390742], [45856803, 3262426], [24678048, 81127799], [98508842, 92262155], [59535430, 50934051], [72153340, 24292730], [50157941, 19408748], [98314891, 5760871], [41712905, 976136], [993751, 1805660], [79259590, 59864958], [46851151, 98979626], [26772923, 75469145], [75307055, 40106799], [91330885, 36587051], [67386032, 81952222], [22831302, 42213713], [21947222, 60458014], [79273240, 85333695], [31165926, 18099181], [4384238, 30123088], [74657960, 43876019], [6943088, 26199128], [46799975, 55492283], [98777330, 59303588], [35572053, 95344000], [67667849, 45929759], [19245408, 98086910], [37087802, 4907070], [57411511, 7464724], [28592342, 74452674], [66547886, 81423], [20270580, 66031738], [98161543, 32434784], [59740902, 54359920], [13342358, 33146035], [74419051, 31921726], [29927537, 87733554], [8237230, 3319749], [2788281, 35434416], [86335503, 42548630], [6131402, 40537256], [75143177, 45455253], [68271859, 13486798], [34888957, 58860863], [22117513, 734206], [51591190, 15376129], [69326809, 33439334], [65768638, 78839776], [93088425, 11326873], [12643157, 12471568], [9207835, 66217806], [60660746, 14416550], [72014048, 95752091], [9151939, 457866], [24207518, 92946629], [45385656, 84040164], [70039152, 71697172], [86073720, 17086402], [18401827, 99325101], [5138354, 72180790], [15734882, 67815331], [50453126, 18779728], [40346175, 39987557], [59118326, 3210827], [3407920, 64552759], [32853454, 84332605], [52702841, 75007013], [76197208, 38419885], [65327346, 20554993], [19061009, 24872657], [96038140, 84425791], [44019955, 8993646], [29976279, 19017427], [17885203, 25158256], [54257845, 60189473], [7079012, 98983644], [6429959, 38902181], [80808055, 5132257], [7663410, 18443077], [6773199, 28928915], [94452053, 88083682], [18453074, 7721496], [38489424, 69951664], [9829820, 84706179], [11018741, 53576063], [80477005, 10429009], [55683937, 92472174], [97106159, 1284470], [20331417, 39480238], [30646975, 87681889], [43200950, 89940907], [141470, 524049], [79276429, 95224855], [8930798, 75254289], [4049011, 12477887], [69947547, 86456592], [9129228, 56591959], [42165497, 89413029], [55045845, 6140773], [68103798, 10557843], [81002354, 36491860], [78187829, 22583475], [21851402, 27611292], [24976844, 69782888], [25378537, 97437772], [70303467, 58284254], [28323596, 2762656], [72663574, 67760281], [94535558, 80259349], [21252783, 44047160], [22307065, 61121532], [97483977, 25745902], [13445480, 15854650], [585263, 99016706], [38762608, 62909892], [4027243, 80804124], [96826256, 17607172], [48171571, 27937703], [91182944, 31781330], [17780060, 49494284], [22500065, 60383963], [42326601, 18945679], [53998891, 86867494], [20849276, 14259189], [7353350, 94034862], [77647736, 8077627], [4762330, 28258651], [72037365, 47776244], [77546292, 64351438], [35151315, 92260370], [12956218, 1274126], [68870848, 28575764], [11963926, 33062809], [72222065, 23726799], [2299510, 81181373], [94911540, 16583947], [92222592, 41479033], [80994925, 41553341], [82284725, 49623819], [49370739, 30328523], [68577876, 57141146], [18830219, 14559594], [77102560, 44867836], [68887966, 51980548], [45097478, 10445821], [65903832, 76475379], [37926308, 34789103], [81107080, 8369402], [45913388, 53844515], [93379931, 90131636], [55502015, 480955], [76767561, 9442676], [68044327, 58671296], [4705291, 2125968], [5961170, 68451354], [69297285, 39409410], [56210581, 97011938], [91111222, 51563482], [9799856, 1464723], [20878473, 95098135], [5376471, 95720152], [28368687, 4461414], [80226822, 93842780], [81559281, 49764287], [88163745, 67138617], [13720460, 76103953], [67252328, 56695805], [71415754, 13989854], [84254338, 24900210], [39880380, 51109085], [25320011, 60479075], [59822868, 72661681], [37861740, 38748073], [54388991, 44008549], [81004984, 82077107], [71784889, 14641872], [85331583, 42684370], [26947363, 15858650], [34842154, 54126526], [18866152, 71375333], [45787033, 27466446], [69980433, 67744133], [24422632, 41727472], [81395813, 579600], [88224192, 39542663], [39656376, 21625390], [98560984, 20014198], [45682093, 14898949], [44891550, 59861767], [47003696, 51222199], [40768777, 92748964], [55152222, 93281367], [89680348, 60744333], [876461, 86157264], [34340817, 69411864], [48887399, 46233512], [99808118, 10830713], [34300779, 9747046], [98507136, 68183455], [19004273, 11948501], [3805867, 53477696], [62872541, 50546283], [45282757, 59390265], [96329618, 26474152], [38478786, 35024412], [17206097, 59409312], [11633931, 13553596], [54996992, 31146884], [80207403, 80328176], [15965196, 80272412], [3347343, 39517343], [37599838, 44540425], [53916185, 11510017], [98621165, 35985058], [50939914, 44881053], [13539442, 57620261], [92949441, 60295939], [65101362, 62786467], [27900830, 45355616], [65896792, 2613547], [40835650, 75360140], [68320475, 73275899], [68766580, 84773828], [84978791, 82014823], [2981586, 10117397], [53519680, 56517088], [90321779, 19266256], [11773786, 22142020], [97854696, 46645554], [75700112, 93594552], [44888038, 4893084], [31432343, 19183453], [25973154, 95667864], [44625461, 19490189], [71501830, 59289307], [28617371, 86889386], [32795853, 3163408], [17350660, 9537159], [55277846, 62456694], [99786039, 80437919], [52866756, 73768980], [57642282, 32173747], [43957713, 8135144], [90864177, 70096291], [42751769, 75278437], [61074310, 52576484], [59058914, 53312812], [65800446, 37393524], [18812679, 53337910], [88086445, 63841448], [69283088, 95134353], [81566195, 32234131], [40829117, 47698296], [326747, 20277117], [33287352, 83451775], [21532715, 58969950], [93758199, 20765284], [76778357, 90848651], [95653395, 69933948], [8103958, 94094775], [15212453, 64827684], [13162613, 88945636], [49231798, 79039382], [59027543, 19824648], [92305743, 52084732], [8015386, 94758594], [82703997, 44474978], [38743535, 15638641], [37460823, 39610573], [66275017, 26408188], [94140277, 12423815], [9784787, 81146786], [49698967, 21414020], [97498314, 57080156], [3916250, 86130569], [62274455, 7163275], [81712347, 60982655], [95868547, 13176128], [61817086, 79631427], [65707000, 47681740], [59493216, 63144412], [49171585, 93517684], [46293545, 75005640], [26403459, 51189958], [45308819, 9429497], [99419205, 31063442], [68582667, 63931013], [28658419, 39482926], [1067421, 97283679], [15802718, 33116637], [93932950, 96298084], [77103549, 5619264], [67555315, 57117219], [81851696, 30638966], [66756793, 28076418], [38322779, 63798046], [93097598, 30881948], [57555485, 2586768], [76345514, 67492938], [11818724, 80903685], [33316577, 52695981], [6974572, 21733786], [20029694, 23215393], [13325879, 12135483], [47475586, 19449676], [92283546, 55075504], [47207152, 38458515], [65349390, 26811799], [82902694, 39843683], [32717398, 54984030], [82610926, 23690060], [86709170, 60650594], [64549351, 46772784], [53168085, 49669439], [17069035, 7736328], [2095736, 88660610], [6822784, 78740060], [67775998, 82593694], [82594718, 55775874], [73502556, 71568612], [19164388, 29162482], [99947742, 88260284], [92983980, 11944011], [42241593, 16767235], [77325684, 76861979], [92197162, 24391186], [33683470, 80741951], [88170876, 75484214], [88982351, 9417439], [22962713, 95723259], [19424000, 11338136], [14911470, 45025488], [68691906, 51079234], [32351700, 50939657], [39921572, 56874944], [90625450, 69466958], [34855538, 26528961], [20051859, 69760991], [90467114, 74931799], [5006646, 99890956], [50378292, 30184653], [75691557, 49553893], [32119661, 24052939], [81877148, 48289609], [43912219, 31450221], [90052879, 68543205], [88580704, 85841087], [58222434, 27551398], [36834913, 73832011], [15397013, 21987254], [38032821, 96091661], [32428958, 84417537], [74546118, 2687038], [7639562, 37120479], [25123844, 4572208], [28745879, 8510926], [26895270, 10833689], [4060150, 27654907], [83124455, 10092818], [64573949, 60674207], [50977871, 64935098], [48084840, 60707510], [34294753, 51726627], [11472659, 58157947], [37558284, 99620387], [13587363, 93634442], [60422421, 74894140], [88209403, 44319749], [68426185, 84726581], [15770015, 78619577], [87232113, 9722508], [49061379, 29130637], [82323414, 4536654], [1448014, 37640286], [59180393, 46441382], [64637071, 65935005], [58903221, 74289857], [11340695, 32564903], [66005503, 52307733], [63228453, 49545139], [66348770, 81189162], [1740651, 28941737], [73781719, 30539184], [63998085, 63845600], [59006139, 89521155], [5181894, 60589764], [1293054, 47986557], [48652510, 5182246], [13303177, 25051788], [44960006, 51417904], [2826173, 90166023], [52676491, 93593887], [32260327, 59708500], [76260593, 306241], [40358832, 91876737], [23481695, 70880206], [27764636, 3080154], [15488507, 1643723], [81339702, 7415239], [23317705, 65355605], [10143844, 64739451], [43358964, 76520004], [74934757, 38869398], [74689167, 51399550], [92980899, 21459814], [415044, 29484420], [57467403, 62002100], [92545815, 16591995], [28735988, 98145433], [89286288, 77686986], [20943405, 81313254], [18391423, 13794909], [17934157, 42135353], [75377869, 58614979], [21695473, 45190385], [19273698, 14810360], [58711676, 10369572], [18787552, 6964602], [61604916, 22640605], [26713765, 14216401], [64866442, 33199253], [46650652, 34329295], [35319618, 19727634], [66096588, 89698192], [20554680, 53621850], [98366722, 55113680], [91977203, 3729180], [91266851, 55423402], [18619289, 5271407], [47622885, 76438885], [99333804, 31599934], [85373423, 16507385], [68457668, 17035117], [34799529, 12214126], [92348065, 20001424], [47611081, 91848174], [56431488, 78819718], [90252105, 84253938], [60330305, 14342153], [94806281, 59268050], [52048835, 92296359], [73655815, 50411824], [32759710, 15350008], [98324853, 29967321], [33592049, 48105853], [70988657, 49623216], [72494312, 66713057], [39502958, 59494369], [27874641, 61589605], [84887024, 80187482], [43055675, 86515721], [832443, 23591962], [75636305, 19109614], [93680323, 26300550], [85637515, 60337893], [62787843, 6099171], [5941953, 58346887], [93626612, 11592994], [97334592, 1640787], [51244140, 46805670], [27602667, 56403063], [80072351, 49232860], [31116028, 65478541], [67031058, 26726850], [63145056, 46428301], [93556297, 77138856], [10595635, 12860177], [23858924, 87434074], [50154551, 80694765], [40488634, 88848252], [91765749, 44510061], [86803008, 66523286], [41514366, 41912983], [16771729, 15799734], [78749073, 10419020], [54806631, 24737567], [75849980, 82430413], [26677567, 77291878], [48688066, 72335094], [90619127, 863071], [81245640, 41360369], [72301247, 28611533], [99929085, 61511258], [47557322, 22862519], [30656583, 94719361], [81059900, 81840518], [38841576, 5705239], [76987009, 87828859], [25705435, 31284808], [80633989, 19127127], [57873832, 25432480], [44193647, 59444963], [27193483, 74786082], [56783749, 66822801], [32055467, 91197518], [69613293, 80679009], [35171532, 87063901], [64056689, 25194342], [22813857, 66918060], [75980046, 88496124], [1081161, 15323031], [35739441, 13553236], [37856448, 45438332], [96286269, 25974668], [23995859, 39132403], [23604299, 64099125], [88689535, 48240486], [23662905, 65436318], [77371036, 16902143], [88452252, 59647974], [54053546, 58075041], [57018753, 85710963], [51515079, 67826937], [80951868, 19616325], [226978, 95279493], [65536634, 78648032], [74449920, 54879261], [14884178, 15376065], [11660266, 54965644], [1530837, 98536453], [83013631, 15015297], [25942379, 29021453], [13580164, 34379515], [80832165, 38305720], [1323215, 81953447], [86241606, 5540687], [51081445, 89862133], [5460992, 79326187], [30029316, 50161826], [19178093, 24083857], [61090881, 17055727], [87918803, 19868337], [5781147, 51624494], [84858134, 89198919], [12534607, 12209061], [95046511, 24430508], [34184135, 26112517], [15819897, 74059739], [44862523, 87725082], [81581325, 57290968], [12504076, 45676075], [16890641, 65735624], [7792170, 18916627], [66526015, 77324510], [19908947, 31343693], [8686294, 1508262], [57715979, 979689], [3981791, 80086204], [62313423, 46559653], [9916124, 59454025], [17417793, 12485725], [94925933, 81361933], [51953403, 14537745], [9335660, 87319458], [73920976, 13494410], [56777307, 27636927], [48104094, 19301316], [1797044, 88343291], [677326, 3161789], [65852345, 6123914], [44675226, 3390296], [84556053, 9901953], [95343173, 69973236], [5096414, 65375550], [63836282, 88566946], [58974144, 94178414], [75599061, 68608320], [88465902, 12617834], [72942936, 64530439], [38848059, 82216234], [39272317, 91228412], [59483328, 51872213], [88370218, 3425874], [46940983, 52274285], [80671481, 73654196], [41751468, 4290783], [59247815, 86484360], [32155818, 92117513], [73286015, 11958767], [17165596, 2368030], [32567786, 87542522], [78687819, 46605008], [4791054, 64598827], [53619901, 73248037], [85686210, 80713146], [51510950, 11900984], [37094493, 89480620], [92267690, 94591029], [13621112, 71553988], [50757837, 61310898], [76583669, 638294], [72261879, 77280138], [95620800, 87386779], [30961262, 99211957], [25709482, 91055029], [29139186, 876783], [95784701, 33506707], [94981532, 33996593], [79103229, 61140185], [91233506, 7535580], [98559542, 90422129], [45904285, 25175653], [73610481, 72326420], [51749642, 46518001], [9307406, 556614], [9451057, 12925100], [67305626, 72656309], [44087590, 55477069], [28923360, 17055204], [75420667, 90842562], [35742714, 37507858], [65292907, 72084427], [16316811, 18347348], [26572614, 9631304], [88021756, 17809516], [51602379, 68211487], [93540625, 11872357], [68836768, 59496303], [32442038, 64949856], [38200207, 46530589], [71214639, 59682177], [40331759, 5221944], [19809597, 60337922], [60432588, 90478250], [222065, 76916973], [1068619, 82460096], [79521235, 48257615], [61302837, 22177339], [12743637, 44858423], [12471742, 38800346], [15611375, 96415439], [94462249, 29745840], [15330588, 63210540], [47580630, 37377274], [64499454, 53953020], [75660234, 75168913], [84023644, 50237417], [35519978, 3450196], [9800665, 31390982], [10549455, 22137380], [86430604, 28561502], [51764283, 55264236], [57974286, 98766726], [34940850, 67142864], [22469437, 13378664], [21171602, 20827006], [33746173, 41321134], [4934677, 54174], [63351394, 94106632], [59862450, 65507690], [47039264, 83416637], [56568001, 73918487], [15851095, 25421077], [21179953, 4421966], [35325548, 1979610], [30867477, 84961864], [60559086, 97221572], [442854, 62631007], [64540799, 41395247], [55837392, 29433977], [80831071, 66404359], [69108577, 33544040], [4535462, 16827423], [36108067, 67471172], [10975857, 47237114], [41683953, 1896279], [74017152, 82660708], [4994535, 56979535], [59348974, 81825036], [16004594, 63903094], [63091475, 11623765], [92275933, 31004831], [24774963, 96183513], [96283962, 16089959], [85150944, 7313719], [372125, 30679430], [41237944, 51015966], [86453855, 11986089], [4103212, 87517193], [66470520, 65504730], [18889640, 56610368], [82002489, 33158247], [93522301, 61975073], [7697211, 88844317], [56197861, 50593253], [66562563, 78888791], [50904968, 16471904], [67324571, 95497196], [30622240, 31330385], [72289385, 39560475], [76075041, 44039560], [35944574, 69114270], [76609160, 28755775], [26224373, 45437688], [6771880, 89845899], [51464812, 45195507], [91542449, 24434880], [56047855, 18032315], [96945658, 45483960], [56484960, 76007335], [9642281, 79596052], [31421065, 68936912], [78996908, 20649754], [56091031, 28860189], [14902669, 61847821], [26602503, 22716499], [86246931, 83620403], [78305406, 51623834], [5336775, 76955588], [86464177, 3301265], [55206925, 14498208], [36675472, 58312515], [17232628, 91725717], [1488317, 37903344], [97834613, 53727870], [45302837, 10832256], [58375895, 49974381], [34105532, 43020319], [84674884, 41133179], [32947890, 25262991], [53260646, 1911708], [5534513, 76754624], [69486877, 95449233], [48581178, 74480211], [42671927, 31662871], [3928617, 97465157], [50192630, 62344862], [80228502, 42255288], [78154008, 84837403], [39955608, 38283471], [97649494, 63951525], [54138888, 16479000], [73474777, 93421406], [75929480, 10295181], [24288845, 80579062], [19841349, 87605435], [81362103, 23031785], [62279595, 74313110], [65919962, 77957015], [15921842, 1853692], [81146399, 74366314], [70949660, 34753541], [19655956, 59617969], [54445177, 51626803], [58330917, 26367342], [86541137, 17377368], [98306578, 31117591], [69019037, 77055002], [19675007, 11473501], [57536851, 97229908], [42653679, 59859613], [89990505, 41006180], [51164006, 61133795], [48801852, 91410241], [64078085, 51957168], [39346397, 53167565], [28950558, 87137791], [32277192, 92254275], [4774787, 1757131], [96171225, 15026369], [80520066, 32222154], [14589106, 46365568], [81826260, 21394900], [4699116, 77930884], [47787272, 61397771], [4515241, 59198381], [86254242, 5159845], [80022782, 87938315], [98338598, 22132857], [76922546, 45218316], [78740071, 51719607], [78113308, 38540676], [62444955, 81616444], [12747899, 71796492], [16121238, 24427032], [83334553, 47550158], [15150652, 83048830], [42553306, 761573], [42461604, 80960128], [71085921, 52886099], [92993518, 71391549], [55833051, 4869765], [19636729, 31906063], [2442347, 8788807], [52765051, 44839106], [51091395, 9247205], [98148542, 22541888], [94631353, 66553477], [22555113, 81524930], [55954306, 64083689], [24074295, 68775596], [96264295, 99371732], [28772824, 95752965], [70484118, 48094268], [95576880, 75221298], [79963123, 80867915], [97540636, 33263290], [19208453, 2704172], [68544508, 77617642], [49214894, 66215273], [51513462, 29757290], [95184291, 28299116], [65972437, 3710512], [27010588, 24954280], [53872843, 97676359], [16177205, 87153980], [12843761, 37677938], [46442163, 51729753], [56408526, 98548683], [38725302, 74814117], [45694156, 29215388], [32091970, 61595457], [82904489, 69761700], [17687532, 75558361], [36605975, 1579844], [96758114, 70703571], [27755998, 60182720], [95186605, 97482863], [76760747, 3570356], [90490538, 18780175], [64136678, 93821213], [12975390, 79822093], [55985616, 59172016], [66818858, 92144314], [30917443, 53954067], [51200808, 33107211], [54273517, 28696273], [79441756, 28822250], [92197153, 6051866], [96539397, 17661570], [97197574, 82332644], [27389790, 28005555], [79060287, 93416823], [14567597, 7278122], [10739969, 52754560], [6826719, 76068781], [42904682, 68156111], [79450824, 2188059], [8946023, 11042206], [85677702, 70890867], [21555888, 57564935], [32054407, 69173361], [73933937, 70013824], [29816525, 46462096], [84349158, 26550467], [2962046, 38540280], [8880016, 37617226], [27115316, 42395581], [21128784, 54663543], [49625091, 66792947], [15476923, 15483461], [92865018, 57943804], [77096894, 29596149], [34537041, 9685914], [11926522, 29644347], [51581005, 73508779], [9293864, 52370351], [86071264, 81164144], [64069869, 30000998], [707259, 52731870], [64577119, 51069], [21881856, 56620641], [26743038, 28172509], [36682154, 95638962], [97185806, 44557340], [15637936, 995349], [97261032, 81476551], [20913213, 92060193], [75661850, 45152091], [90848956, 56950489], [49045802, 12240428], [68207608, 71356717], [40471883, 88839434], [73885538, 77588112], [41205512, 15175477], [57945942, 3471582], [64622125, 54037769], [34179081, 1099810], [89826663, 81836770], [67072042, 89575891], [98905002, 67404927], [74288220, 42799655], [62075978, 28355216], [81815347, 50860234], [1317302, 44001684], [84893244, 75085006], [10019713, 88758034], [8842618, 46234488], [78784371, 94711219], [34033146, 99223682], [62178710, 84804942], [26759103, 76511865], [10397105, 83437883], [37935625, 86363855], [44571166, 45370206], [77172565, 99307719], [45325696, 67681523], [55376542, 70926622], [97663862, 28331539], [78445336, 95055431], [43638829, 66338041], [34960445, 36841196], [52930272, 45181642], [71114838, 92169335], [14370804, 16662455], [23218076, 85976561], [94326560, 12924176], [57595090, 69184594], [37012829, 58808927], [623822, 39818901], [22341533, 79366105], [75251137, 95607236], [24744507, 58660939], [80524146, 69593272], [77404377, 51080842], [17922166, 24772785], [98950535, 75277974], [49678281, 25459644], [62486281, 69526109], [38013173, 93540120], [98739327, 22074013], [52850930, 2071926], [98054871, 52565121], [69376045, 41157293], [53148564, 74247616], [99720799, 786282], [46912940, 28493936], [91012716, 1099486], [68574395, 74256418], [14473566, 96901548], [75419390, 12935785], [52779459, 53519939], [47761812, 44055257], [73494896, 57801224], [62427319, 75143431], [20950025, 1579685], [57907404, 10431040], [64672473, 87472356], [94763703, 71524499], [31175300, 91830085], [36290062, 57434997], [93410775, 8249456], [35285172, 53185150], [92508327, 10235829], [77631895, 94116209], [74544130, 13567573], [89911997, 95506472], [58733444, 80969125], [24275782, 61393037], [17662215, 9264627], [39440686, 85925405], [39620773, 62698596], [35569926, 27789031], [91236691, 22337184], [85928685, 36425122], [28570880, 42789258], [47391299, 21353820], [24008909, 38474917], [77465078, 81383187], [96780763, 17588100], [90950650, 289951], [48784158, 36836171], [1930578, 60151894], [52904707, 4918398], [18527760, 94578087], [57962372, 98884128], [95985788, 25153684], [33906538, 18704550], [96567553, 64774050], [36034962, 16438806], [77009628, 89469095], [78375117, 68692725], [3229382, 42781474], [40389847, 55398938], [20649371, 89418176], [6051450, 65388143], [13258578, 19386808], [63137230, 30774891], [72161118, 51440296], [87346800, 9553210], [52399833, 70890567], [75219806, 21526935], [93423094, 41564921], [76524632, 50579386], [66372420, 92335804], [63840461, 96082666], [99168143, 33726328], [97350563, 28671050], [39616221, 2775869], [53329989, 71029877], [26804645, 53858555], [18035426, 73100182], [60004552, 27472999], [90865304, 7263975], [37538980, 98484956], [33520449, 10689176], [59275710, 49316535], [81843507, 63471263], [97513472, 34634154], [23141683, 7726463], [71566921, 23170053], [27580573, 65252485], [86569919, 66039164], [66486125, 2963270], [27953951, 95282761], [82988498, 72360438], [83261323, 26208660], [17744048, 43890935], [95798273, 36164760], [76620092, 38820820], [23503302, 74795367], [4347080, 53936314], [91418005, 86821683], [10333867, 19960606], [38569611, 39555601], [90242832, 31511202], [67807275, 91179154], [67911261, 31133138], [13329619, 44592063], [44696648, 63432542], [27454951, 65067907], [4722598, 61188596], [61591534, 61748244], [35061722, 66366116], [31954718, 86865019], [57149757, 78739188], [11165052, 91707303], [29525417, 31694495], [23660132, 81092737], [28861395, 40668101], [93536714, 65734466], [88724701, 31226086], [41620944, 62706944], [32098558, 72639925], [65993679, 37151046], [15120897, 8192314], [76738466, 95227597], [71742646, 57405937], [89675226, 63584973], [10966567, 83314130], [60472070, 16222140], [48968447, 15461149], [13841594, 55611502], [58140224, 75106974], [62358273, 39742390], [25091305, 36672389], [4223600, 47701313], [65631731, 82625336], [80348163, 87100025], [86841889, 36697016], [40559022, 44717325], [21399821, 99950315], [37079967, 51090978], [43060159, 7009710], [46005045, 63706890], [80910519, 3290813], [4361234, 99816744], [25996183, 13994629], [14827141, 67742416], [48060092, 64881641], [96336240, 73465546], [71506061, 95960671], [57396108, 66966617], [76259497, 21401280], [96251468, 62637755], [54437685, 66810275], [92790886, 19138576], [29028186, 82774454], [6799906, 35285111], [14502274, 14245306], [85104954, 94489106], [32544354, 33269911], [84169494, 82996842], [3285580, 88580050], [55137875, 37846582], [77819686, 49109271], [33722633, 91989625], [37533689, 94378452], [66144557, 92923336], [31698694, 62706499], [69639823, 91109827], [41298467, 9056552], [90532128, 79651171], [34070690, 89836255], [28974828, 87993058], [39193907, 67661290], [41510739, 29394168], [17672387, 18028162], [39255636, 89021045], [69785995, 77790915], [70002732, 17994859], [27449649, 97349133], [38970298, 94729406], [20533251, 52849673], [90529325, 57023226], [84745624, 29889281], [86565425, 22961262], [33818603, 78280967], [54821596, 4237881], [72379844, 18446938], [10864538, 26835452], [59595690, 73677648], [3137259, 81193069], [48913531, 4835806], [76974129, 35738786], [34987700, 13110474], [87156139, 27609029], [36211896, 12419920], [4617629, 28560656], [19382353, 38067832], [51834296, 80219910], [18710364, 10837962], [6868459, 18886854], [34671633, 62705579], [96729752, 9399257], [27492278, 32647982], [22731840, 23034137], [62119688, 26401511], [10731389, 64000982], [59965681, 55520673], [13021067, 69081243], [56362747, 8179168], [94234004, 38578883], [96716149, 5236804], [9645219, 81884593], [32324568, 15440793], [40263672, 77475439], [53906110, 67680227], [21138647, 46788554], [7519114, 57106273], [60258276, 53538726], [50910292, 54210099], [27451021, 66686977], [68394988, 65994776], [62268171, 13429326], [12900056, 92574416], [68555345, 47332422], [73629420, 52219185], [1158517, 56272828], [54939010, 21863729], [50797637, 34248784], [40250659, 606381], [59691230, 98357210], [54357949, 18304351], [30802593, 91054219], [24049364, 26360122], [61099089, 94382533], [89531120, 4275756], [26521945, 30114600], [7420779, 1789361], [9770356, 50084111], [11078896, 89050770], [36149572, 71988051], [10598798, 41380633], [59503703, 43836253], [83015598, 58590761], [48904272, 96088197], [78636737, 56087182], [42205398, 83351661], [14119119, 22815157], [55997520, 7996595], [51023909, 84390208], [21249338, 50966298], [7437151, 92106709], [31378100, 2431563], [39277136, 77279426], [58747015, 19619158], [97819767, 30451390], [51195719, 50717522], [78604421, 63453475], [14582171, 64656915], [46390777, 10483486], [60693156, 78871453], [94179248, 41544878], [39710937, 21813279], [5044299, 11776008], [74544345, 51167001], [79866499, 35060643], [92881798, 46739247], [47962487, 89385914], [98207228, 52335245], [82565120, 19264538], [51465221, 56343281], [51345671, 57799874], [45102702, 7954297], [80102787, 76235844], [86580946, 67308994], [23688636, 46441985], [3997046, 50200241], [98561731, 27255107], [10826657, 58981923], [13417252, 14925164], [83415765, 70213835], [200301, 73485319], [41526873, 46708299], [26433932, 90543445], [48239706, 90085268], [42352474, 74534640], [3611499, 41649809], [6447047, 48911639], [67835071, 99398505], [85737286, 24628942], [39710050, 94276010], [44250826, 43408318], [191375, 12198155], [11155082, 90017203], [77805479, 66583265], [41759582, 98111612], [28659463, 99605133], [75776016, 9795238], [96591920, 35581665], [25103963, 71982001], [60239453, 66918086], [81652267, 19834207], [84368594, 89177087], [86786007, 57911144], [14938425, 53353818], [99358841, 22705025], [97935235, 95772720], [34794005, 74096710], [97739669, 71506807], [2917922, 50570033], [91159228, 75284112], [19760912, 42541128], [80896548, 95814671], [27657558, 6233486], [10828189, 35606242], [12314145, 46531326], [57882574, 31198460], [70080185, 24083857], [66015991, 51977508], [3469486, 91817133], [86026419, 76688707], [14512181, 2070456], [95165123, 25390839], [85554958, 11627518], [6722342, 81423699], [84241142, 49308367], [57177915, 47990634], [30595810, 37723523], [48750338, 90072554], [41190832, 70307852], [89145765, 84331154], [14718732, 2411659], [71799862, 42724112], [67864143, 18469861], [20449340, 37016425], [16600438, 78559997], [29586399, 462308], [57533436, 4764410], [13226856, 26130373], [89165064, 3785904], [40639794, 61066577], [46143370, 75245267], [70710094, 45803027], [67189928, 62819891], [57940383, 45884180], [33184935, 76677432], [94855672, 96920633], [22292100, 6970464], [27260057, 59543089], [31745930, 32356222], [38276457, 8191284], [60392666, 97731039], [81078749, 56754939], [79223323, 11943370], [20562671, 35900418], [33201164, 1658191], [26834676, 97084661], [54007141, 63189417], [89750841, 5904455], [97252595, 60924022], [13747017, 50768422], [3160598, 12122473], [82628466, 32510176], [72569594, 3267746], [92135949, 37328226], [42275676, 52102479], [38989944, 36256459], [73773425, 29212631], [14156831, 52362619], [98350307, 93731110], [97736265, 37114377], [51364340, 21795428], [82449348, 18859308], [26511108, 80204249], [11499381, 17117829], [43800541, 21006748], [46288702, 47435673], [42005462, 57720197], [63970922, 6060546], [85495239, 90290974], [85299567, 28152919], [28313094, 26885462], [76920030, 87548242], [31820460, 33467813], [24691867, 3720422], [92768422, 10147888], [39478524, 66238709], [84140509, 32510287], [45027234, 60272102], [51028658, 62604180], [85651877, 87071884], [48446606, 37892647], [29766912, 19242584], [3380712, 61078126], [19074324, 35710389], [16891730, 52141359], [97285592, 61366006], [69402150, 90153731], [99475323, 14518626], [50428747, 43685775], [37762419, 77894072], [25163767, 8320174], [38694525, 36940153], [47479433, 27095763], [81275117, 27126441], [17669233, 27943957], [33992618, 10825068], [20983747, 33094094], [14834740, 36870090], [76850387, 78377072], [86949909, 76552456], [11618488, 11098532], [88655929, 94289036], [33739873, 98147642], [61789614, 16329666], [28715661, 32837516], [68333253, 45429918], [64083369, 12937860], [42094393, 73469878], [39702383, 50427177], [63611561, 57008069], [3564898, 15356980], [54304795, 18003719], [35052714, 72548445], [3789403, 73694342], [8136206, 85537512], [55589507, 19733775], [9521243, 60152650], [192273, 87072012], [84809365, 27509810], [57465871, 4891113], [86952697, 44687758], [14050211, 1792649], [76921954, 59128369], [60848765, 85712727], [26079679, 77926279], [23429269, 2843756], [94955316, 96834375], [1747411, 35608019], [61085919, 57610004], [835822, 32880216], [71737538, 41919481], [45261214, 19071548], [33143242, 76003584], [42746144, 92335487], [96188168, 30597975], [10118957, 83923076], [45230833, 62481542], [17296504, 44874614], [92567254, 38415856], [93198058, 70751175], [50684314, 45379771], [57423075, 58174702], [43037713, 89728911], [63453808, 29208794], [71950429, 95831711], [69788875, 91247307], [62653075, 52675767], [64036370, 65802970], [61150796, 96147564], [27107856, 53694985], [56448907, 89424159], [34808968, 22824833], [75997189, 39314530], [99539061, 68494836], [76012268, 3382917], [55849514, 48641441], [65392500, 89045455], [19893500, 78743730], [92703503, 58719334], [3850553, 28497170], [50338582, 94783227], [77533960, 11495025], [8393188, 97553108], [60838715, 3168641], [86395332, 17706418], [34269091, 46811519], [89023132, 41782543], [50068924, 51969790], [65763716, 66095412], [65095280, 3068073], [77631057, 22204331], [73484925, 8219386], [40215281, 38923229], [48250476, 97456092], [58900682, 87879708], [24311289, 16644521], [35154586, 50639849], [54559214, 44537152], [27040780, 86779967], [23324819, 92308580], [18506807, 35634259], [63528784, 40571879], [33438409, 32504864], [40880960, 35666559], [67149487, 67576421], [98305196, 81977354], [47284567, 38589350], [42298524, 8353777], [48067444, 24156991], [93643667, 47079286], [79802403, 51374848], [67448718, 72407274], [61937542, 96994751], [12972142, 9686304], [66004521, 3003314], [86645803, 89855444], [42320594, 66831307], [95625165, 98757845], [7025538, 15920698], [59555575, 15722737], [83100011, 46661376], [83859285, 26646477], [62324743, 41318716], [5575149, 15707321], [94728898, 54223078], [14514887, 78815311], [5354207, 4970924], [37433802, 97605528], [56345451, 77872504], [56690751, 74505126], [62786828, 86677726], [88928793, 54435539], [36641287, 67021487], [15564021, 56186871], [91821040, 64986245], [68988952, 47010463], [45351548, 4242848], [50474950, 56890465], [55456225, 48370633], [46424185, 3350231], [35349466, 84433725], [66070035, 39869711], [63998869, 77722755], [43645383, 72319778], [74613372, 89812458], [74913561, 59630232], [12440044, 22042194], [54608500, 57480255], [34531412, 98486054], [52164164, 96562886], [89346678, 23801990], [8406963, 58732973], [87288739, 97320183], [59480250, 60924382], [46328941, 76582792], [64275837, 26829847], [93895702, 26957981], [28385846, 12503723], [86420948, 11585281], [83715239, 43233241], [42364883, 87086252], [85494139, 69365759], [17734265, 60162546], [45211200, 44850231], [72657383, 18958965], [58896855, 35649230], [93768828, 30864141], [92486688, 50671240], [4961957, 43922452], [80587618, 35529330], [29261967, 93810052], [10380087, 67563941], [69559726, 55503504], [34852513, 89742216], [24161920, 28481401], [40479501, 10951148], [60342363, 4095468], [46768224, 82303604], [17738094, 17022247], [27231645, 71022130], [54406172, 96591970], [96554537, 39535214], [49633398, 35365661], [36935194, 79005728], [75553642, 48226292], [42432684, 31946835], [20756402, 51348822], [35406347, 67354296], [94138818, 66980715], [97097115, 14924342], [23798582, 90807346], [4757005, 56163443], [69399676, 54939347], [32597324, 59667555], [83266984, 22426241], [29571465, 37917405], [4003329, 70064277], [22499149, 97202474], [96929849, 76337480], [52017372, 42896215], [6939894, 24278531], [78599008, 73939463], [52746577, 22456783], [46929217, 87998075], [64349612, 21291524], [20490142, 7054678], [80835790, 6067340], [12851862, 25094029], [78876612, 81080406], [89977027, 32085164], [62283765, 80602660], [51000348, 28382131], [26637786, 92805647], [13847207, 91502030], [30151432, 16383361], [90244739, 99980602], [80404561, 39423245], [4615718, 26522556], [68051191, 71040309], [58433608, 28216172], [78320158, 80858883], [56745981, 24622187], [89627489, 15519008], [15850746, 28592929], [39198129, 14126026], [97589015, 19040], [26370061, 63177311], [28320316, 58926099], [53960345, 42158688], [51985642, 42375653], [21548763, 65494892], [3811551, 30500041], [62814299, 97034729], [18258016, 22960781], [40830601, 17876855], [48682992, 79363753], [83813328, 80526552], [77298361, 10187620], [93310184, 61080654], [66241840, 16792138], [46838140, 45566814], [96044727, 94506238], [57919052, 22173646], [85065673, 25202476], [51281701, 63013093], [40543707, 47618934], [11195127, 78296120], [42497670, 31388577], [37278108, 13590139], [5116388, 53525579], [18465930, 13322954], [4753405, 3050271], [32302828, 9560604], [15528624, 58763035], [69063200, 16920139], [48031215, 42833349], [26262154, 24064175], [66187874, 11102729], [73563474, 33123148], [26789790, 96500933], [21096610, 77551753], [94447824, 78449710], [38236650, 37774545], [99673964, 5006571], [75574386, 25097556], [5060387, 7019762], [51861185, 14055118], [40719375, 40922883], [74824945, 95414875], [30548879, 9552718], [11410919, 15303590], [55878664, 56947990], [48847932, 25721977], [67155127, 83423904], [2758394, 98379250], [76546164, 82394632], [30072322, 94687207], [60391584, 65732587], [77849255, 6445876], [94158366, 10064035], [75186245, 97007140], [2351706, 7795331], [28562990, 98666813], [260977, 9683607], [89117669, 39612366], [63736595, 92177170], [93625774, 89575756], [12461216, 35911480], [43067781, 38143273], [72002762, 15070417], [74409298, 94447286], [63366269, 70529009], [13866361, 47485173], [19580939, 13321711], [77854248, 61489032], [51897810, 96109686], [99373596, 42525716], [19076328, 43870145], [68711861, 25934627], [84394229, 59467380], [32614889, 91715686], [49952579, 86332174], [96537325, 47383478], [76459980, 89716590], [41926821, 82124870], [85135077, 57087681], [78647966, 70652574], [78445852, 56719392], [3606224, 82538397], [35626646, 61034812], [4013210, 96576820], [66437215, 13443619], [54106944, 29859899], [9523736, 87536911], [83258906, 48885135], [67842493, 36475045], [91262186, 6380946], [37076039, 20142390], [90132126, 84051609], [31386255, 36999624], [59372761, 80006177], [26934818, 6226272], [11822183, 58820071], [93497866, 79252578], [5168442, 9353789], [44291430, 51875129], [81101133, 31088272], [56320965, 86198567], [71231483, 11147844], [21703450, 31712017], [11122486, 49142894], [48385536, 68322544], [54367833, 23647166], [27232062, 28577956], [72086150, 95906325], [78143795, 33843420], [28229708, 21236165], [80599592, 4874131], [79454591, 49803403], [65945145, 47675547], [39924527, 88400746], [14153770, 75421973], [304805, 95824736], [89240585, 30552673], [97046154, 90920265], [66560977, 71104395], [60022793, 69519546], [52728320, 49210378], [34104715, 15722787], [69270447, 45887487], [45223108, 16536849], [73347102, 77680670], [79765874, 77187201], [50218642, 46101645], [56109127, 71036994], [55955729, 76479626], [19767324, 44031065], [78269312, 65821267], [93005844, 44231278], [30104311, 11777246], [51418572, 48985518], [37449059, 60597379], [15826927, 93473486], [2129269, 39646630], [16890636, 99815690], [35878903, 42787823], [67798522, 8175977], [20119291, 19469837], [22291165, 12003625], [27689256, 81590043], [19704987, 3199074], [58707279, 64230073], [69002710, 18298610], [72066212, 38690130], [63171652, 90798164], [49182651, 8306777], [22646544, 52155490], [71776159, 59862181], [26738263, 85239547], [36409733, 84423757], [7814089, 52907480], [61226992, 47244754], [64970183, 53258907], [82487799, 40997795], [40395289, 19728562], [66966466, 81106412], [27501924, 39599654], [52204108, 78882390], [15827113, 30864191], [54010311, 17762870], [46446361, 81943242], [21964936, 36227984], [15690227, 64061461], [70676287, 23876071], [83868625, 24911279], [38319756, 67397849], [87953894, 40616651], [45752203, 21523482], [89732209, 29509388], [288735, 21686013], [34669691, 90003447], [7027143, 59239401], [99299395, 33072346], [33509354, 92227223], [71747917, 27809262], [65100274, 22887753], [45804164, 10202535], [30406018, 38935478], [7748736, 19261989], [97702610, 31073623], [80326556, 8652378], [91479482, 87643486], [49202389, 31584803], [5054940, 48394922], [69407526, 43257120], [32863149, 95564699], [97325120, 21941645], [84504983, 42267979], [79122278, 14924270], [69879963, 87911460], [92195912, 80060805], [17430232, 94966197], [49838817, 51915635], [4042615, 20022584], [72450621, 6420381], [56344365, 14735620], [58978041, 60649489], [8063382, 15556350], [90366312, 92284304], [92589461, 5107400], [26040837, 66816396], [66211293, 60289952], [10132231, 20752884], [56969205, 5240279], [90526986, 74019149], [94405349, 27713639], [78970055, 10297325], [4313248, 24328560], [10334105, 14340330], [97554073, 36705512], [17065922, 7615561], [37100101, 93989527], [69860859, 84332712], [6505641, 74418535], [71091492, 1813680], [39239843, 80952977], [12901775, 77614827], [59367916, 47341885], [25117378, 29348672], [33364268, 20921268], [47117213, 44207867], [43168467, 74797610], [7075497, 42357145], [45495127, 59135646], [1467094, 37242699], [93496563, 47824096], [83885148, 31637707], [97312431, 93363195], [77820743, 71871418], [4905009, 33264644], [2416418, 60461628], [80931007, 38975168], [6204252, 65533453], [96747956, 33366254], [49245125, 62089974], [93130021, 45456272], [40458999, 48866570], [90119691, 61029663], [36193135, 51202591], [76587116, 15600939], [87674847, 48093998], [33371091, 77359233], [41391403, 73763913], [7884126, 22430698], [40242152, 68017848], [10986007, 73300112], [85559593, 15446052], [83840113, 31158513], [99833346, 7836723], [19658930, 90791826], [13728016, 37055861], [60402665, 19934092], [68772045, 96622621], [52148023, 82495713], [72958667, 80150649], [67323094, 34234918], [63951152, 63490143], [38058070, 8619705], [60586347, 34542901], [35564375, 69627238], [71936978, 82447632], [4928418, 19591557], [11660727, 89575707], [50685394, 59901267], [15196479, 95359854], [64603390, 56616323], [82235608, 29727839], [62381334, 64810884], [99008992, 41128185], [51002017, 8623385], [71603416, 41378549], [78290177, 92917635], [46796566, 99052926], [51981257, 21835178], [7131788, 94949959], [77757466, 98027672], [22552882, 26918897], [91353470, 72906932], [61618428, 35449829], [7934331, 8685304], [20159138, 55791005], [48826972, 67962092], [73296624, 79152823], [40703833, 85638067], [99490243, 83590974], [39981246, 23716771], [30963064, 98657849], [49240614, 73892749], [73261635, 42495009], [38049710, 7692825], [14192593, 13405726], [36165383, 48232537], [53576825, 83671628], [35728297, 35453139], [51041524, 80414599], [8366667, 30676012], [48463378, 39090204], [87082463, 66277882], [73276310, 26343484], [41397127, 14981115], [84971142, 49271626], [85973004, 16282063], [60440231, 92403299], [49860250, 73207347], [87469196, 47819992], [35245604, 76614738], [40430167, 89001342], [31180281, 10511545], [30299529, 3559929], [14739985, 98183134], [51501681, 45217885], [50526342, 44279941], [36502257, 75041362], [62225294, 93027962], [44642273, 14565575], [18382259, 16223234], [79132122, 79381616], [80367865, 40615439], [34101462, 31629437], [64992721, 83595638], [9347518, 99666176], [86531804, 1544051], [47765828, 79311219], [21029618, 32307177], [94536234, 65925537], [89199213, 5765571], [33670654, 45816524], [16123123, 73243564], [49655891, 35396624], [3656523, 45394908], [82789977, 84095544], [37129556, 99423709], [76755007, 59803046], [37587848, 90061046], [77784314, 83886630], [51878420, 71008505], [80117162, 16665631], [85167565, 74581524], [6489164, 3388087], [25875979, 80230895], [76200310, 18886451], [62194013, 66786957], [70416812, 18447743], [12523043, 80534113], [92161237, 77801423], [68683856, 6705762], [28540698, 29103995], [51595402, 66185379], [99441443, 38207018], [89341459, 99176310], [40706125, 52470113], [10200091, 27373822], [85119733, 10485709], [1534316, 16126248], [7307432, 70027514], [10697923, 96859341], [65617109, 45882310], [57091882, 31833493], [78990266, 95856091], [12202182, 57249461], [41413020, 46201272], [28121415, 27990838], [18288516, 79677824], [9769490, 48871296], [82495475, 29208729], [25090953, 68650372], [84926656, 94849717], [61827797, 72905528], [67399340, 82463971], [52335913, 49134086], [41060098, 91525366], [58989354, 79353100], [2573158, 9009080], [4545000, 27426334], [466627, 85887093], [6891347, 46085685], [61286814, 44518655], [79320972, 66264643], [52261738, 18384317], [99592993, 75169147], [38064672, 12256018], [74500852, 8202415], [11603949, 14949166], [55956403, 25337817], [47954819, 87886056], [24629806, 33703230], [99653911, 29672468], [43405870, 752463], [4810862, 97490169], [44586134, 22299556], [55373463, 35709798], [77646231, 9642250], [71774049, 51713646], [31109402, 57887852], [99082062, 97032663], [39986783, 84908593], [34549871, 55237981], [40653885, 54774462], [15742835, 34234057], [59588956, 56329466], [62010300, 70171762], [31062429, 28556621], [17265934, 74079032], [25700490, 84385976], [29877067, 74704837], [3543287, 17977053], [89411675, 13579639], [858864, 73461825], [74861919, 64900733], [38501277, 90359786], [60234987, 92803578], [18495790, 97920848], [13618698, 18509085], [36920884, 87083637], [68010116, 87182600], [1562673, 64779058], [3709984, 47106630], [76589422, 72767867], [92799122, 69989090], [57015483, 81704998], [3596768, 58935010], [88705410, 78861706], [14497849, 89643725], [59412946, 79046384], [35887479, 13121841], [87158318, 11642376], [63779044, 61626115], [30548056, 58950460], [13633822, 52267972], [98630355, 50274703], [26719893, 61277789], [53836494, 15272813], [74375759, 21456772], [37612583, 48668505], [1291889, 54965287], [76696516, 3745308], [29660730, 49180935], [17943009, 19189639], [99610741, 5196056], [80949185, 92410316], [3821053, 71969908], [92222188, 6233692], [39986674, 3764992], [88282793, 71468969], [12791461, 70205076], [426086, 96988154], [9908934, 31857548], [60480149, 38773715], [50346951, 39071347], [12921621, 31728446], [68742755, 75032842], [67644148, 76349515], [49371492, 90106704], [95991139, 3341552], [30392160, 98319656], [83087247, 27204545], [82982264, 29949390], [50680881, 80524361], [60286255, 18856170], [48041675, 28412633], [31979813, 85002189], [23696163, 71814618], [72634245, 16730780], [93051362, 57021883], [4048370, 41663384], [72986881, 81990175], [78108539, 66781358], [15948078, 73378338], [4847792, 49674567], [84273514, 49171514], [86669155, 89708817], [68233478, 49858431], [15954472, 11329203], [8378397, 24038419], [73451716, 48723582], [82208456, 67545996], [77536196, 84290002], [24140986, 4728419], [94530501, 26915031], [81601370, 85080738], [15290855, 63887754], [36255122, 12780077], [6528261, 63146091], [27520859, 199491], [18339886, 38201529], [53161181, 60060100], [3114008, 49448755], [92909997, 85191446], [18901261, 92793909], [94554148, 99013368], [4821401, 87090879], [63673766, 74992600], [46878079, 25007394], [94337201, 9721516], [96214248, 39518692], [8453713, 48682116], [40894180, 13008233], [80852289, 19929220], [85372803, 91399044], [41320223, 50601682], [87031986, 5171863], [52827740, 31440910], [32977540, 46174296], [68641878, 73620023], [96972676, 7591709], [12288691, 60309081], [88759998, 94209323], [80114471, 93327855], [38741954, 22552641], [7621426, 81490685], [32894033, 51106859], [40220978, 33256827], [23006915, 80443882], [7208041, 4975110], [45104134, 77237967], [78671628, 15423719], [29688211, 877436], [19679374, 50526834], [93993503, 26856348], [61928950, 3818357], [57175513, 38100358], [46196616, 69191335], [9540938, 76005907], [86938767, 46453832], [58772522, 89648360], [66581008, 14475309], [24175169, 85307362], [85179937, 23704282], [26364436, 70039807], [52833037, 79710508], [60894285, 1101715], [24998355, 24879979], [20229204, 62768421], [36602562, 99119860], [80213201, 24050019], [78116680, 18648469], [66133111, 59536460], [8423771, 21495712], [64449527, 21526904], [50163788, 59894731], [89577001, 37191018], [11719951, 39537705], [66869073, 5356574], [97812444, 9164663], [65426140, 93999006], [56486697, 13452389], [91349266, 53262908], [57280401, 81917387], [84717547, 60437701], [65342858, 89981671], [14364093, 47372924], [80265276, 48872268], [90313186, 72914015], [68145252, 81261335], [89637626, 19898515], [9211160, 53005580], [38225501, 26488451], [70370165, 7292138], [22580125, 72890417], [89975795, 89396376], [80792501, 92395952], [47350583, 68489051], [71014514, 99693586], [92398955, 57123642], [21341487, 35623222], [25465974, 35573067], [17954322, 56542954], [91713697, 83639307], [21799729, 68453287], [8036192, 62925987], [18156359, 47203876], [84433421, 57127731], [41552862, 94640542], [42797269, 67138858], [71317221, 18347984], [79665382, 23941325], [61922804, 26771654], [34881061, 49640142], [36316397, 97458661], [48202028, 76199750], [5990530, 39748737], [79541408, 46312939], [37871760, 83431763], [85516445, 55093154], [63874303, 61026172], [40487904, 38650654], [34758717, 53884534], [28190857, 55190605], [48114651, 95374395], [1617648, 93812204], [85716624, 6922429], [61567090, 69684479], [12193426, 11892376], [19032354, 35324960], [2844209, 46012405], [24081362, 75379829], [76038399, 61602216], [1436835, 48244090], [39797457, 3812300], [46433368, 95542740], [21013934, 63707100], [99265231, 30820452], [4472338, 110739], [48089009, 46820712], [95337831, 67026864], [1800554, 13788738], [6659748, 63545324], [57810725, 84180152], [84368664, 7123731], [5038647, 52479761], [49761316, 31079030], [90442183, 76839738], [44743840, 66664313], [13553214, 67095161], [68376468, 83886057], [36213383, 35674500], [59973268, 39479611], [49300235, 57671309], [34810678, 88612884], [8899600, 43784602], [62270577, 88545875], [94482286, 54301626], [10669292, 39004443], [41116802, 39537396], [79556242, 4091238], [60445122, 33476434], [18581917, 94946249], [36582144, 68215450], [58526540, 95549203], [67564421, 61104937], [19689982, 44822281], [46940161, 44751863], [60046689, 86308236], [36118377, 10414503], [39312835, 5757728], [62438965, 96691171], [75571853, 66493587], [43735770, 97978044], [78963151, 38740209], [51712954, 75028818], [88032857, 76662433], [62600165, 86087292], [56063304, 72542730], [6307737, 49591822], [56282100, 99212152], [79655210, 28586068], [1991812, 15621481], [11507929, 8503514], [19043284, 352798], [85733458, 98723936], [94750327, 50819430], [25677569, 16981788], [27086574, 70090833], [60150629, 74291442], [85723235, 11071016], [77482435, 27845326], [70548209, 45996197], [84263586, 6507783], [72752649, 68222879], [37601577, 23995944], [96291886, 38814989], [98057747, 50652330], [63471925, 74697550], [39183446, 60906418], [27779401, 77360814], [89136026, 29862261], [28984891, 16464947], [51575429, 72421049], [27141278, 58152125], [40377474, 59753663], [73171716, 20608984], [75287651, 31674541], [87790066, 52724189], [70958353, 7654072], [86149340, 29686332], [39519758, 66477408], [8979961, 42008260], [41038147, 41261170], [21582875, 5967311], [55615875, 36430823], [28085572, 92326041], [50106004, 19328983], [5205673, 99894918], [57927120, 15065036], [11130524, 74450179], [86402425, 96990817], [69585943, 40855373], [20577814, 1045745], [575553, 51148839], [63991608, 88947602], [64648707, 91484049], [41332547, 55675870], [39134404, 56131179], [32030106, 72632512], [52635891, 55654206], [28191573, 64047723], [72319189, 85835847], [52937820, 66535163], [30805942, 87094133], [88524948, 16571376], [95004776, 54475333], [68539833, 23283148], [35663339, 62646889], [98389272, 3460744], [87588125, 43931019], [80298423, 86011727], [84375929, 55863005], [2677346, 26995362], [53963640, 62327935], [61528585, 51110372], [20899820, 91068555], [18768810, 56907085], [79149303, 87049973], [93680250, 58413758], [81841555, 44486408], [90646631, 84280424], [88962877, 63957451], [45339295, 71998671], [36421305, 87419659], [81742033, 99478279], [17952712, 38363807], [38605666, 43865803], [42371128, 58032192], [33935719, 46738394], [84214782, 92809564], [35683893, 86226331], [40911055, 56963646], [99248088, 9221673], [87262278, 55018431], [35437762, 78063979], [31079930, 89147244], [80887852, 86777252], [77317781, 74081535], [83835653, 60169890], [13398339, 93195081], [1889651, 42769159], [20714696, 28831196], [56819320, 21217966], [29856031, 46149045], [97524186, 76039804], [18154486, 7826252], [12477166, 28127861], [41669570, 40919281], [69125044, 98867242], [5738606, 10857361], [39564957, 70259047], [29990144, 32935001], [17148407, 39272547], [65395567, 67618802], [73617706, 41520899], [10836844, 68334815], [32504710, 98750435], [11823491, 98574543], [20551758, 79341265], [14225288, 49447772], [29870729, 21159396], [97658950, 6945615], [84408767, 94747351], [85651235, 16782120], [2729161, 88860423], [14726787, 54806111], [36834549, 68286735], [27557341, 37776187], [62501808, 80602250], [22147559, 89082086], [63013614, 8260221], [32615484, 82013580], [92042343, 86089070], [32802515, 84663150], [25386696, 4953967], [88750749, 69947246], [71108001, 63277111], [89883300, 22328387], [98538175, 73302403], [76674115, 45496502], [13915770, 58324164], [16236083, 53706472], [39317769, 6939818], [1135921, 38109208], [54305413, 67950162], [95035180, 21405253], [63892041, 15712568], [96993066, 40272928], [5082961, 86523537], [12946858, 91215689], [73792022, 65030776], [70141921, 99050019], [79837453, 50169677], [60901592, 88801313], [51974708, 47415459], [71501311, 48359175], [90983075, 34395579], [4619225, 85500113], [19292612, 11215611], [17559885, 73458087], [16672841, 3182050], [84763888, 6832821], [10495504, 7495087], [8362203, 34601300], [66386795, 18621092], [81863307, 85247481], [72523446, 35770316], [3814586, 14866887], [86532220, 98262810], [62040783, 9324640], [11226628, 87291833], [63906953, 67652442], [50466580, 52608765], [20202070, 93842267], [93850595, 56780260], [49230413, 31258564], [73055653, 23578216], [49086468, 10787287], [27286717, 14798294], [95271183, 78015182], [86559135, 86637289], [70038337, 29225999], [36067547, 85975314], [4149601, 40324120], [13790507, 49631677], [28201263, 65807497], [62689507, 6742943], [25939116, 10304251], [79182589, 11788407], [31782295, 21966506], [59914629, 52745386], [82593066, 98713994], [26460640, 91662662], [44860185, 44735804], [82512270, 15468890], [14576515, 79731742], [53818660, 17881315], [82883835, 43656085], [12299118, 39824099], [45120339, 48268669], [10644573, 41530670], [78286299, 47362102], [54242321, 86155243], [12827056, 80351781], [9787345, 10125199], [86484332, 78521735], [61392524, 19665787], [91352934, 29034480], [72999812, 43515034], [68210547, 58671033], [97777469, 41439347], [95781081, 76462529], [28388290, 23956073], [69955095, 2643251], [14903076, 46000516], [68564432, 2396043], [16806358, 25647722], [95762322, 7440455], [75246107, 40393715], [46852785, 99242051], [17985605, 51010545], [71600674, 24596692], [99673193, 43507947], [43731870, 54401871], [84235677, 59877690], [39182528, 67713932], [73883164, 38540865], [56271957, 56598678], [37994033, 29884863], [70152623, 38899099], [62655684, 31473730], [87229005, 94426935], [23089433, 11039604], [51657788, 67412368], [95636582, 92026296], [739270, 91421179], [18277413, 57439054], [21479973, 56780547], [14826305, 40929237], [99030393, 24289625], [6424084, 43085783], [84182106, 93146660], [52908928, 33128971], [563379, 77150368], [15910936, 54344833], [28527145, 71999234], [58235734, 30045046], [15368959, 55618838], [23731401, 15809562], [84568448, 94358224], [52310434, 14396170], [12866270, 85161227], [8147294, 27100907], [14644697, 12988308], [86814886, 56328523], [96062616, 33000288], [43492, 42872288], [1308735, 19582708], [73226365, 82013458], [42877398, 47155284], [61131995, 91573961], [5368175, 49775244], [83541579, 95216171], [25996376, 97299460], [60472736, 25745035], [36559715, 135658], [27034023, 2529021], [15574043, 9814163], [95685288, 33877003], [6488726, 72863127], [86611787, 61625491], [72160841, 9591825], [94241578, 56306536], [14515557, 11355633], [79835652, 69567738], [32347551, 4447834], [99852356, 45256899], [3592061, 8733379], [88285568, 50303272], [82222435, 47002200], [49435901, 52385753], [57197360, 43406064], [83658077, 81270679], [43611326, 24173566], [80890701, 44364474], [31578042, 32327020], [84797354, 68790099], [98844546, 82215607], [13133143, 28347278], [47607792, 14586865], [13203654, 20805928], [65810052, 41564721], [27340970, 31292345], [58577100, 71996387], [45044340, 33803146], [51495212, 73659916], [68337353, 80157551], [2364858, 61803851], [60481076, 37711586], [65755965, 12512426], [54465368, 45159482], [35143574, 52675585], [48284302, 59486475], [63142528, 78569195], [49509356, 42040314], [6321649, 91693418], [7721387, 63342487], [39472802, 9281244], [11771698, 17534850], [66463702, 30368735], [83643831, 55619523], [28779109, 30408485], [31559581, 25435653], [30613955, 26970523], [18043938, 80546540], [6242657, 61889906], [30138115, 33774578], [76842749, 64858786], [95137497, 58268840], [11458469, 43364523], [96346362, 56106812], [3310966, 36176060], [58408793, 8978137], [87582500, 5194245], [77252815, 94115123], [88393064, 80908505], [56671528, 64846875], [99721155, 47450250], [83487755, 96040373], [22344221, 93839515], [17645683, 94789064], [19913233, 38798731], [39806831, 56763109], [39813349, 48707042], [23837223, 57295948], [3708646, 6506097], [56949719, 68290449], [87820078, 98916745], [53730852, 41689466], [32702683, 12918337], [53242307, 29599474], [17813243, 54939219], [15306800, 5666487], [88886587, 20633966], [2533846, 84082836], [84376846, 35875736], [53171133, 30583247], [99705135, 41579921], [20873868, 32501162], [89491389, 3426509], [36881710, 34105808], [24051547, 23708663], [42528077, 33628909], [86470796, 50658109], [89182704, 52753316], [42905344, 11917150], [12050717, 62570244], [58769996, 89626893], [61171190, 93897308], [90560646, 90298438], [39181739, 35167782], [38917778, 64218802], [70756562, 92760405], [56442860, 17873597], [59313420, 25661344], [87037097, 1679844], [64911803, 60475211], [84975036, 31631277], [65435773, 90799470], [83342578, 96807167], [12959029, 73511548], [19200888, 98987396], [88569214, 75434633], [28569235, 32181759], [16307707, 25135731], [83942488, 86239311], [73173445, 77058214], [96843939, 31377924], [26689784, 26553582], [20098093, 67883700], [96344440, 29129955], [54579673, 58244809], [54494440, 55950807], [96752265, 11009651], [41620028, 19358841], [52173155, 1745367], [89371183, 91753858], [49680068, 33024331], [68469257, 98333435], [34965291, 46037156], [40365298, 51248008], [76781542, 76741956], [26734975, 15920882], [46013256, 50502886], [25221871, 28315373], [30167908, 44758601], [14442997, 73542810], [70474333, 14904535], [40221549, 46998659], [11576994, 24116688], [53185262, 99483033], [79358437, 96547013], [87805862, 76746093], [51561161, 4743931], [92179795, 40201588], [73760106, 81805484], [99445159, 36338670], [88319942, 8671090], [50735806, 74707148], [45102661, 24790435], [60381250, 78118086], [62786196, 48953283], [28825992, 73784193], [60431855, 25987743], [40669724, 19878703], [48045449, 78377431], [49737340, 77050116], [43300084, 14197178], [93950771, 86166767], [93432786, 83443784], [80755705, 52596860], [94939630, 66906847], [37778630, 32666275], [89004093, 4022760], [44307597, 22866759], [45993876, 69452608], [2711909, 27596040], [6404134, 90605103], [69381355, 31439189], [25861247, 552545], [94146508, 82951885], [97654699, 53092731], [35208626, 62504675], [48536134, 49148543], [51600681, 90235362], [61095206, 94204077], [15067199, 81707747], [60889752, 81987496], [75390080, 32340345], [84205018, 4296274], [54182908, 91722328], [33128549, 74994898], [59201961, 20320438], [56082240, 84670138], [17687426, 99238123], [98370247, 41537952], [18984659, 42028665], [74624472, 46807387], [50015167, 44769733], [73343540, 88677535], [82643581, 1966307], [74082553, 7841354], [20172989, 8221316], [50989501, 45821903], [52136313, 77825862], [96380673, 33392252], [22778822, 9319433], [23476808, 10386787], [2673447, 22255457], [16844999, 22623784], [52488897, 42662464], [49771971, 50444224], [39512876, 94888222], [97479960, 63944813], [83369207, 31839391], [99583027, 59926635], [2220139, 77407660], [18807584, 38250041], [95190815, 80862661], [38839156, 16573560], [64041933, 5244903], [17345809, 3764936], [38225875, 71550987], [92020728, 69147500], [36029263, 35918725], [93125146, 99491290], [12485007, 90584914], [4793799, 19089190], [44674282, 24559383], [30385073, 27828464], [39061916, 96886080], [71182795, 33823968], [28413592, 77625521], [87889438, 78210107], [40678764, 17582870], [99372635, 74523337], [96526608, 40134059], [28057140, 39590543], [41086258, 9311990], [14356304, 82782123], [74966541, 84494058], [46290743, 26088544], [76654, 41562935], [5321745, 87715563], [17868688, 21101792], [93372198, 71476327], [17102831, 98354792], [91781719, 2000730], [37101310, 35777661], [81051758, 50838331], [3177089, 72918236], [8858402, 76625407], [66697096, 7102428], [62146302, 7870834], [64053144, 77746635], [79242343, 60443596], [38684875, 16438752], [70898233, 18208934], [662600, 36600352], [35735374, 94942225], [52460428, 10079666], [10780677, 17189257], [46557178, 55267936], [38707762, 15136746], [68725017, 38426131], [25167922, 16019017], [38317760, 38345706], [28423525, 30266824], [33285545, 99138860], [84520564, 41444492], [31850825, 48295190], [63717765, 25488278], [80231292, 94994702], [30165106, 42576314], [23810523, 40230323], [83641086, 38098103], [66678719, 69231266], [43065342, 15570081], [88719574, 79022922], [14522450, 51550200], [85293291, 25206392], [92001645, 48671918], [39697024, 2938925], [791648, 91770582], [83914007, 27327319], [95677798, 39375375], [67236332, 44738874], [3755700, 28940680], [33938509, 50190361], [37099120, 76789373], [97192900, 94194465], [85338604, 40985190], [83277693, 28194128], [19692547, 27049216], [74838819, 52586896], [28443307, 16355263], [28427678, 73676331], [17553102, 6508156], [28323499, 88769193], [15097861, 75598371], [50977197, 22255418], [23739206, 35441974], [66295896, 52210833], [10193018, 60352954], [99329374, 41630637], [22974482, 83330855], [64171669, 45419480], [4487169, 21572728], [13647021, 50134291], [83451049, 42376452], [99795434, 41678512], [75933719, 44428967], [55462049, 74970254], [21583950, 40971747], [21382706, 14486723], [30347493, 45655997], [20279165, 85271818], [55021480, 20394538], [83417845, 74405409], [91062784, 90339901], [36267198, 79747817], [49333447, 36404246], [84528187, 28622996], [52059967, 23259958], [32776577, 38834493], [59053287, 8290404], [69661341, 39890874], [30266987, 72826333], [72177312, 64524523], [7147276, 56422851], [7505509, 44520039], [76522951, 25710981], [79410999, 82215553], [72102733, 19307368], [99371884, 25174534], [98279395, 63568581], [78100563, 80120863], [90249861, 19268482], [54204369, 80176908], [17434063, 63824953], [4480075, 56140758], [6254124, 84947530], [9769431, 33024217], [76797988, 10269619], [68421212, 47010458], [43751728, 83333963], [30014592, 25800195], [33868569, 55847304], [27740771, 97358788], [86998487, 32129980], [18759021, 68250359], [38385570, 18620353], [17080727, 63742867], [33265602, 69641264], [80410715, 27516212], [22843842, 51593332], [33959106, 73757200], [24726323, 9966201], [4988848, 85157838], [78589705, 98598497], [93925264, 96942082], [93912612, 71154816], [45481741, 23877142], [78503625, 79229254], [47160510, 21906417], [39966024, 60086738], [93523525, 18025839], [71268333, 79374915], [84163693, 37168655], [83269096, 52236990], [97543871, 27678265], [16754742, 60479718], [86809332, 31669938], [14734194, 64757159], [77157701, 92612451], [15349326, 16983825], [98150703, 77329116], [18125879, 70533449], [45661304, 13176522], [71794295, 69482615], [60060308, 27730408], [41328454, 10627463], [29337129, 86831046], [44174736, 44969344], [20804475, 3232586], [19002052, 56252238], [26884948, 38288581], [30356033, 64309860], [34635944, 89114473], [54260110, 6269214], [54963665, 69575204], [87957883, 16644694], [75410821, 21652094], [69204781, 43968249], [99921771, 73246265], [47485123, 81291618], [56786665, 21747587], [75198281, 46914818], [74350635, 2110729], [27734777, 32952663], [83886023, 67294353], [76660021, 48602287], [79624297, 90770322], [2722871, 93272774], [51048272, 73238705], [66165219, 58745904], [27771142, 62841134], [96733520, 11779085], [95771173, 58034233], [14093014, 44292579], [91138804, 56170701], [9189893, 53913554], [93437964, 23337794], [58094393, 53537387], [71628527, 61589953], [42630450, 60222671], [71575511, 38521964], [55918312, 72237178], [42582554, 57778872], [45449108, 12842996], [46455490, 56200899], [876650, 54228135], [13267117, 48595645], [22144283, 94579518], [15677422, 41717965], [81991766, 49288010], [1792366, 91797640], [44251210, 83965317], [85304493, 735349], [55383414, 66092244], [85972836, 67007695], [21410800, 44975412], [5727092, 80604015], [81588722, 26552332], [4458675, 29931392], [72104285, 91416346], [90339118, 48392208], [89659435, 28078037], [13462258, 39660197], [23164283, 12229462], [13474450, 78643254], [91630349, 47814499], [14509615, 67881726], [8724799, 42648628], [23364117, 66023251], [40133394, 86664958], [76597735, 75401022], [23969213, 41403309], [46744604, 88608335], [65286080, 66754958], [66684993, 34258167], [62105974, 56203207], [76999649, 58976267], [32474988, 29094847], [53272934, 51577556], [76038115, 92150597], [69702570, 24237151], [8259072, 84008424], [64308850, 50390121], [33242155, 80175904], [59004709, 17300864], [55986816, 9995567], [54302902, 21901848], [33313457, 66764974], [53969380, 54601637], [96889593, 2809824], [523586, 27033164], [45309781, 12071198], [34430123, 76197329], [46363548, 63573044], [34827834, 57632563], [26454635, 68646864], [83987890, 99678609], [21825002, 2927970], [6699685, 98603001], [54531568, 94389023], [55736806, 14954286], [38034542, 97253032], [94323226, 28940743], [75001117, 1009879], [2847339, 97886762], [66190357, 10422904], [92169028, 25194624], [4271538, 66678172], [86060101, 69058938], [27849865, 89960203], [12737885, 36413334], [97747525, 20830842], [76611603, 80990775], [38051275, 74142617], [1484204, 37544257], [45281018, 6911022], [66383728, 90618367], [43928308, 82966684], [96367578, 84233703], [93831530, 98204964], [28103581, 6043540], [12691889, 66329072], [54364428, 98188004], [18624793, 85246917], [60887836, 70165824], [23955203, 42339748], [10926852, 13029065], [69530234, 71864443], [89227527, 6755136], [2339004, 54683687], [41310357, 72591904], [80865524, 25409976], [62753645, 50275525], [21461800, 84302639], [33979946, 748678], [5830748, 37260142], [30023188, 66885003], [49486992, 54585286], [34769340, 70088961], [91273691, 35164653], [79540616, 76739729], [44890915, 90814025], [78686627, 23059201], [94245928, 18856361], [18715362, 56903165], [69506574, 94188264], [4023226, 74529674], [1330124, 99045941], [53263513, 37597639], [76990576, 33666357], [46127003, 46621237], [83731796, 13922446], [96358271, 27846], [74726713, 45175958], [39283702, 32730597], [21574352, 2216255], [87770376, 4688662], [35347576, 26741311], [2516557, 92296522], [37686913, 53551194], [15102586, 13663419], [74137833, 17210901], [76538749, 58026962], [37767993, 25148139], [59098973, 10641496], [45537868, 3457455], [92664932, 10498246], [20298221, 23338046], [37154718, 36385912], [2159888, 29958490], [616142, 44448474], [16824922, 37449735], [67535147, 12568569], [60138092, 41792094], [10369090, 75473576], [87334860, 19741431], [98442042, 19839123], [42505712, 62532578], [418680, 36740570], [71619587, 42083034], [31976373, 51379462], [43052352, 23948262], [64017151, 17661125], [53071051, 86237155], [78533769, 46086962], [52081108, 31259934], [34653775, 13218674], [25389635, 37401454], [25433750, 82589004], [72547178, 19428117], [90448039, 1780927], [46072068, 18133616], [66992338, 9127138], [9785424, 85352360], [98420228, 45163410], [60450623, 53517013], [11178644, 20157301], [46677055, 30673514], [97087176, 48223641], [38167089, 61145022], [29468785, 18434717], [45266507, 98276038], [66865682, 71528958], [64523990, 62988771], [60314501, 43623847], [41286313, 72772954], [70083772, 82449061], [62255470, 67473820], [81711102, 35537716], [83629027, 6466745], [2652100, 41760430], [74172705, 37358822], [25845604, 1103886], [68250794, 98497045], [77578236, 23471719], [80640608, 82348482], [71718826, 74478614], [25118458, 36089914], [81480958, 342082], [8956183, 39541921], [53314487, 75120613], [60873813, 23428554], [73922286, 82540948], [34609368, 44138533], [86376159, 14862389], [13837073, 71671939], [36197262, 85915632], [34564630, 31722776], [24101935, 77284452], [47269797, 79829768], [29187078, 62344214], [38412800, 82891894], [87558317, 3086898], [24083153, 6066806], [803381, 6652381], [89202332, 90554920], [15601846, 80605029], [40331099, 93352538], [98730477, 19555997], [17197252, 96902779], [84723199, 58881559], [62053755, 27850160], [1054111, 75252830], [61912100, 91067421], [90758185, 71521747], [12258052, 48213573], [19911428, 98150397], [20509436, 98866532], [36302209, 78161671], [70325811, 5555828], [63404899, 26311952], [81871549, 89249213], [53114590, 39023531], [38965794, 23121281], [87320086, 24754003], [19905048, 31956420], [49163084, 2829542], [98944881, 10362585], [32348145, 96358087], [50855114, 12974683], [34202712, 51980817], [65349112, 42508498], [11122637, 53385536], [39078005, 58061843], [42153777, 49876598], [46773464, 98810381], [83954636, 97472550], [89553651, 3307146], [39998449, 279205], [45076123, 64253227], [65560705, 37417487], [65577453, 48040874], [54073405, 38041667], [63759521, 19353202], [8575756, 78731136], [75650374, 74231622], [66273731, 97760828], [91970888, 86402903], [32886719, 45843208], [43835990, 34854523], [33708866, 79043277], [68258490, 35701763], [1218556, 70567302], [87029540, 96663023], [23210194, 48186972], [38646826, 51490233], [3486944, 72560378], [7681559, 76237301], [77519126, 53590679], [24173223, 11881189], [96663165, 28383306], [76712653, 94156377], [41371521, 60606002], [12776203, 64775570], [88533126, 99447075], [4464546, 18679791], [14054863, 65071607], [95086450, 1518133], [41227419, 13421022], [9718167, 4419771], [14219475, 68785562], [81167950, 96067207], [37087051, 97148420], [60972946, 58488001], [2917799, 14928903], [26990685, 35337439], [55128614, 6880723], [23997017, 87235160], [77934302, 93263993], [17934709, 71108260], [52849190, 96849651], [47547427, 11246774], [31198942, 51427886], [73171076, 29344955], [51504721, 58203768], [42473357, 23542840], [63015147, 98368860], [71622198, 82154071], [62570887, 75076993], [80305970, 11301131], [46561264, 57495854], [36113245, 7326317], [61105080, 71835504], [43733794, 43754775], [72463528, 12776184], [60791002, 21875908], [65051909, 4069704], [55540651, 46142067], [73452497, 3591130], [58066891, 829800], [26194167, 69709089], [49870198, 55852247], [167176, 51639181], [54551181, 84174028], [79411904, 31888970], [28611375, 39023487], [40779877, 6013362], [97824614, 6251933], [40384607, 94113480], [65252794, 39187023], [49899313, 94964242], [73687859, 75232573], [31746935, 1831092], [9823485, 81696174], [55830938, 64299297], [48686353, 11213570], [16693085, 75807453], [40397046, 11787895], [98592854, 50958731], [12689911, 37643389], [98546473, 51966669], [99361351, 67615352], [14944133, 61430045], [18015914, 18909476], [3873083, 67864286], [85256830, 49554572], [97859409, 29245644], [7942973, 10325575], [37195705, 58755008], [34927775, 62010872], [86290145, 13090323], [7737699, 66043037], [34932352, 45099832], [39307934, 95830859], [68853061, 20977903], [47766152, 59338330], [56512893, 99797295], [68175252, 92229535], [34459271, 60221218], [311134, 99076103], [37685097, 33358475], [27591189, 18103240], [15899826, 68983159], [63782280, 50464989], [54017816, 2792688], [32528296, 45488546], [98295144, 53456338], [40435550, 66172090], [85616255, 79129607], [52187871, 77410535], [28603773, 7670416], [29388181, 37623669], [33319385, 52481092], [96956018, 93681274], [55859275, 68874167], [55110596, 66342730], [73581598, 39221969], [29705753, 75920737], [60171511, 47490118], [29831513, 26458763], [56857720, 2890010], [65000596, 94705391], [97653007, 53983977], [58173694, 74605788], [79234598, 77273580], [28279675, 40395138], [37374716, 71760873], [97749250, 68351856], [98351880, 56647156], [97470647, 96964978], [53735183, 73098979], [20693019, 260113], [67119564, 79408477], [9204578, 62320355], [42964628, 3347413], [45891464, 7931691], [71096249, 11175699], [47193060, 4348600], [80859794, 54470304], [4652822, 47068643], [38652365, 84410810], [15877462, 68730749], [92546491, 22463912], [38536578, 78235563], [91020330, 56537186], [26176885, 90593977], [70490797, 87134080], [37728751, 42666453], [57585424, 53489611], [13773512, 35089016], [80878243, 78723656], [56472976, 89500320], [43191360, 59990499], [1834511, 80084375], [37307916, 93034768], [66462416, 75944680], [32155064, 55352047], [47990420, 3419427], [47336991, 20318615], [1401812, 14336591], [72371583, 18401163], [17617837, 87159814], [10784241, 47459446], [72759026, 68085775], [59963955, 38026071], [88306569, 11190250], [38672240, 35701331], [43899977, 30185812], [81205645, 24800906], [20935173, 59640292], [11599934, 37767409], [95723960, 25954427], [56875504, 61726031], [50120977, 35199728], [64161398, 5146202], [76458437, 25495863], [19748404, 24377893], [3447398, 36560230], [65398397, 95894787], [8649279, 34526910], [9683760, 81183682], [26248649, 98228716], [60043443, 53332350], [31805368, 2598139], [44438874, 16581947], [40109014, 42948015], [92524062, 75243048], [99928378, 82093043], [27441982, 43886435], [55040282, 21081792], [52545346, 92705000], [11057310, 17823960], [39532182, 71197962], [22963720, 62738580], [12841105, 69746516], [52129054, 7058494], [86072567, 26935848], [24637107, 49215015], [75093343, 71962069], [6429158, 95388278], [41846853, 89855208], [4393148, 36470388], [25511236, 27748643], [12349483, 18428149], [19736182, 51911752], [69474423, 1507239], [24277035, 35057224], [27190483, 57116063], [33568842, 69035255], [12211740, 22149522], [80088789, 99002162], [82781721, 53613903], [41113014, 28076336], [69496901, 82124934], [51698038, 65989268], [68833276, 30636861], [51728897, 60897168], [18836178, 91647017], [37190309, 56830975], [63982029, 98022738], [99430809, 89163695], [61522442, 56030690], [70241022, 45226812], [80614802, 42911349], [36766487, 40228400], [69810868, 48508842], [73385592, 20092396], [8903249, 27707163], [64142359, 20542062], [2390096, 57584638], [96537307, 1163617], [11775215, 21527698], [68297019, 84563380], [65693542, 75084378], [76272964, 26861071], [46908931, 23303387], [55055596, 63310550], [33448789, 68610814], [29980306, 12162573], [90718862, 93293119], [93778554, 92703553], [1718851, 80221443], [65985838, 21568074], [32616190, 95265312], [73577744, 2929364], [46371141, 9061312], [49949863, 23991742], [19647908, 85169249], [44004531, 3373632], [60759581, 80582667], [66781882, 32176241], [61165113, 81927386], [37855759, 51473341], [66866828, 61926163], [61290982, 48554517], [18266448, 14719383], [7669511, 23547123], [44995476, 66356402], [11856135, 13390777], [23657631, 55848191], [83312629, 78910266], [75821545, 17771728], [93069433, 18322436], [60146383, 92016044], [46365031, 97545290], [9575701, 92389588], [14478759, 14224805], [13937801, 6095647], [83081408, 35432737], [1955063, 94274284], [70502791, 26038201], [44417546, 19641855], [2447820, 17932195], [14328766, 59855334], [22915018, 8642976], [38603391, 2884285], [71768824, 76638728], [5412813, 5653405], [44692614, 89337048], [45808742, 73372551], [64372591, 84970075], [76134582, 46757382], [11359918, 72891479], [83199145, 87890742], [99563622, 33710641], [72777153, 25748731], [49279379, 91637144], [82723793, 97447478], [77564938, 13350518], [91078954, 60998465], [22387939, 32643063], [2941535, 17654617], [96848076, 973839], [22493619, 35947437], [38217172, 6689704], [12549777, 63097003], [72848635, 7719620], [93332764, 48816310], [25819334, 90706504], [92201095, 33518729], [15280045, 6301353], [73136729, 59748208], [74922076, 5298662], [61489005, 45007912], [87117537, 40860259], [6438283, 45114345], [26404452, 45060170], [79235863, 93038783], [47255835, 95469887], [33849137, 13791857], [35554884, 50940009], [96866376, 29506643], [13784620, 49115883], [6680094, 32936496], [85512362, 49252035], [87541014, 77280026], [43859412, 62206742], [91172399, 26019830], [8583026, 79158033], [53225414, 13742466], [24382981, 89152245], [65683565, 72995941], [60767869, 16746883], [56100925, 53175632], [49160001, 38680592], [88936798, 2309579], [19455303, 99794603], [67981715, 78852979], [45601304, 60922728], [34376633, 27181481], [89293702, 77768846], [17915241, 76813485], [12723980, 89839975], [17379200, 58411258], [72217547, 89142864], [19799635, 25195715], [44806801, 91736736], [67823035, 86416256], [83487078, 6723038], [35578431, 13735045], [49955055, 10476223], [36337903, 3191366], [13218626, 5468588], [56161376, 80421066], [61908077, 76923512], [90739005, 76326709], [39356439, 7864173], [96709479, 62284835], [64046519, 42171222], [19914933, 53684327], [89067159, 51122054], [98049137, 88143076], [96273889, 44726504], [49116200, 66551422], [36635041, 17678506], [12191783, 23160600], [96172491, 60247760], [88290212, 8580045], [8205425, 61792691], [66088970, 94312255], [95838716, 96286110], [65257589, 26927645], [75072383, 75791252], [92100076, 4067257], [45675184, 43903658], [56936173, 80544442], [79253743, 8086861], [40563886, 35188718], [93797191, 66394030], [73031209, 81363147], [54770159, 91270232], [40491024, 94604978], [19633049, 37287744], [82803699, 91019595], [51766912, 6348094], [20224832, 51575988], [59117752, 50148382], [7161094, 71185929], [91125864, 94755107], [12626566, 92635109], [99835463, 61299053], [35800440, 73949265], [35383290, 67223839], [27369325, 7147444], [36340863, 13573949], [6919253, 17915834], [10031516, 20292288], [53589132, 43070977], [81644335, 54985628], [28864536, 71955541], [22447941, 92340732], [48418811, 11540871], [25072072, 62531327], [52129729, 53079111], [35131554, 32670279], [80712981, 58383876], [64593227, 88820495], [1370258, 94362741], [30927198, 17747039], [50699604, 13010043], [10269287, 45427370], [46255994, 58173567], [56078011, 71101048], [84789292, 77194757], [17919198, 66115842], [61238927, 48193787], [87694914, 3851925], [58480357, 97362105], [83168223, 54071613], [74163037, 96637085], [36964266, 96454800], [93216431, 63272614], [33739183, 55767713], [77567268, 66968890], [1387413, 34444977], [46902702, 35702962], [56629468, 98109769], [57366052, 3826991], [765789, 46407403], [31867864, 66734682], [10195052, 82215402], [46962741, 7667221], [94355243, 70653949], [83131344, 78378861], [40011928, 92743892], [75635379, 9542904], [38418147, 97568335], [81834145, 44833421], [65795707, 66538759], [95900343, 34196370], [27865224, 79864710], [49081078, 68485157], [35100156, 76320065], [82413558, 57176218], [61741602, 13801711], [38491898, 17500821], [17266130, 27736512], [14022882, 84427034], [76021915, 32259553], [71032486, 42030793], [27656989, 67064457], [79329905, 9778283], [55097221, 39725149], [85854544, 94532142], [93247519, 80393600], [11076162, 67472731], [56062015, 52248332], [37558891, 97636321], [74206314, 56468267], [1638995, 14396984], [51466525, 72412302], [7451581, 86839416], [97151765, 37623], [16546321, 23715092], [20880976, 56810126], [19685509, 93697791], [31488177, 83477940], [91445275, 45996046], [78312716, 69353875], [86309475, 49450812], [36283306, 20212406], [77858939, 92711916], [3868575, 8128038], [40122974, 68636039], [48214130, 4325687], [20474550, 92833795], [95987691, 91759376], [91612875, 21721761], [76479077, 55631369], [37317344, 39106960], [21124828, 62369283], [26866080, 963321], [10952998, 15329368], [70334036, 17074224], [29651226, 2101136], [72225297, 26335307], [48857857, 10390949], [55210460, 71215713], [8016558, 94277938], [74330547, 35526309], [61623595, 61759703], [92604142, 75387266], [11793598, 33141407], [86411731, 10682240], [26963295, 42199325], [91202839, 5345313], [56566503, 85320123], [9082543, 12806863], [70634360, 1584154], [27857801, 61615048], [24414380, 30591337], [51736485, 88558504], [78902514, 82528127], [50499269, 50957695], [22676642, 88780612], [38428850, 90409829], [87212344, 16155067], [5780736, 63776514], [82868133, 81728055], [87497673, 61440021], [78930612, 53697930], [47069353, 6110601], [5378641, 84871209], [28746535, 67716546], [84091916, 98305331], [35630306, 76245031], [33783285, 62041594], [63405050, 39246529], [31886516, 98813760], [8497699, 87946193], [71764123, 87108447], [67554370, 41368984], [3537184, 4692877], [40291711, 8757928], [66990675, 62568486], [22544811, 44294165], [1739187, 62827943], [37041777, 15470425], [86693821, 54947033], [59268515, 35325442], [37720585, 21991829], [70485026, 49966984], [56024875, 99695617], [20635166, 52200441], [53845979, 46613552], [27610229, 95614150], [10484628, 90457080], [30420411, 69942475], [25764963, 60035329], [77522774, 21135214], [66317168, 64432536], [85086518, 57024440], [43816430, 12154021], [75612255, 78250504], [99306189, 45322600], [90475647, 53647122], [56232186, 15957059], [22157436, 78362704], [82601225, 8671956], [6226820, 15734885], [41808114, 872677], [75012852, 85493934], [63437253, 36884934], [94099292, 7903260], [44079124, 748487], [12660224, 20768221], [37748062, 19767781], [547321, 58049070], [93203836, 73774839], [62823502, 94822329], [52335622, 43799956], [99759477, 70035653], [88855666, 49628875], [27515764, 10385891], [88945257, 67423488], [51788403, 55077687], [70157896, 22067059], [11973113, 66395485], [42228724, 28296189], [11709631, 62555004], [33159897, 12529878], [26766998, 3990010], [21567804, 6357089], [81222412, 75979220], [33800929, 86119374], [44663235, 31215563], [1742851, 88132844], [76760449, 75994118], [10645645, 54245516], [19541582, 25975668], [72147887, 89042868], [40840815, 61968292], [50904613, 73567551], [13274043, 66811063], [38887731, 55701348], [53090464, 31227419], [26367750, 61043969], [47054617, 52033191], [33103985, 15342164], [99656453, 17163610], [289698, 9982135], [72249250, 83557327], [99706348, 5075347], [8074743, 31640274], [33715413, 98336856], [24585949, 61093865], [8922268, 73175368], [33006676, 74652295], [11172229, 34165947], [49103651, 27461615], [55363992, 15534399], [89742730, 22689698], [31880825, 20869682], [14692696, 63169906], [56676670, 76592788], [78935701, 46814382], [99139805, 30622332], [287140, 8267802], [88491751, 79621445], [17586311, 76282296], [67397304, 98336878], [76380784, 72525308], [5256569, 12407757], [49914788, 25192525], [97966242, 20736760], [42659201, 62239961], [67281495, 73304178], [83662555, 81452816], [39963389, 92084590], [20080177, 51122779], [72823364, 32090228], [6874404, 69242090], [48269198, 77657262], [29248091, 62454221], [74987219, 13478621], [78902771, 87752431], [61955526, 44069774], [17091246, 46411383], [75022700, 26721527], [22803620, 79628531], [99454671, 4114287], [95785588, 869008], [20148685, 44014550], [50831623, 27181490], [37765399, 77054533], [22772130, 95737873], [71294722, 84336597], [1597874, 42971334], [33979651, 32350236], [50212024, 82828332], [86274640, 61169180], [91357266, 58849777], [18963895, 76049048], [75674932, 42125417], [93376926, 93410880], [53962729, 14129338], [30935303, 77527244], [90285922, 68696425], [91604801, 50046896], [3239052, 14372906], [15916531, 87009097], [87519424, 45049842], [6706443, 97002585], [9112331, 7206148], [83460672, 14426719], [81621042, 59498524], [41197252, 29372859], [45964651, 58043538], [68441529, 44217903], [57779853, 22856987], [91555445, 34237796], [46450999, 35009423], [41707655, 54285380], [36715247, 68037433], [80007788, 49190552], [55182396, 81732598], [374698, 24435423], [30872339, 32690521], [63116191, 7401599], [23949439, 49107723], [83733563, 31570509], [93214911, 17882036], [63844877, 30595365], [67255649, 79052644], [29251244, 95680745], [84019665, 32781134], [51433984, 40612120], [60423792, 46812383], [54637605, 54827128], [78905311, 72334013], [5766885, 15995166], [96119636, 64050863], [88686931, 11882101], [74979492, 18772043], [95317913, 40771766], [2818127, 17232230], [52508597, 9937047], [15555953, 81405241], [90184584, 36487122], [90604465, 73219595], [70505373, 76795241], [19281096, 58892413], [5001440, 99996723], [91933978, 9185461], [41572201, 11752685], [5650787, 7908771], [36605943, 46052297], [86744989, 75602704], [9876740, 42125974], [96367264, 48607817], [21361012, 41558654], [84319212, 23033844], [99974312, 34114037], [22796247, 99824681], [97639926, 16653598], [27962225, 5123492], [3581594, 10417700], [80105626, 17647093], [85155275, 99002429], [36055334, 42764204], [46241821, 9276958], [21052176, 50659479], [53803863, 66529569], [66005215, 27582718], [38943223, 30114867], [62373056, 4181138], [46407334, 13941012], [98266163, 60904735], [33207605, 82055359], [64782257, 67068376], [66972758, 10366986], [57846283, 69022546], [61183303, 28974771], [39119189, 73062658], [90686223, 91853870], [5803979, 71767250], [92120181, 75856017], [42524324, 96935682], [62192300, 82343015], [62861906, 55634120], [9340136, 28400302], [24342875, 56204954], [16016553, 6112061], [71032217, 92407152], [25719800, 23608830], [87282025, 44270676], [75161816, 53600777], [98738442, 32595729], [77355082, 15620010], [99417398, 24315202], [43031357, 33896964], [96841931, 86812739], [73558456, 60616814], [36370443, 62731290], [43091636, 61306315], [35643420, 68957673], [74527766, 79354242], [66380434, 11277751], [5806487, 37996608], [60091467, 13501544], [24679922, 30568422], [38900132, 28867152], [99718570, 20798961], [14979397, 20030721], [87332076, 80201582], [96131870, 14944894], [76338265, 76533171], [98008573, 94417674], [71945062, 17557200], [83937324, 14499154], [41869301, 11357436], [72097888, 20768010], [10942856, 15690142], [66250695, 84886130], [59361593, 19347208], [45720388, 95532569], [12887835, 64009258], [86000285, 876194], [19780793, 97304330], [4771118, 7746122], [37082291, 93400934], [89135225, 84296431], [67616656, 4397980], [5025203, 15737725], [21568595, 29587048], [2449094, 47676058], [72755295, 86816799], [96348887, 22737310], [55839712, 55527390], [86368676, 99624933], [92345539, 62356213], [75540452, 31648339], [16105785, 39880076], [72161357, 48824378], [82279286, 95802713], [17869738, 80371014], [33560295, 96587168], [57890706, 17339580], [43591172, 46734572], [56874097, 24373697], [28570479, 4731451], [89312341, 59331355], [42939353, 35497326], [38034892, 76357682], [87388633, 14058402], [25283316, 94400332], [24984197, 88755322], [97592099, 43163243], [59057032, 73897386], [11478753, 5891114], [22130342, 97811011], [2029532, 36863649], [25464235, 39540063], [29720247, 28725311], [33838354, 7765775], [8286882, 77388142], [65306023, 38592167], [28452782, 76389714], [63287950, 51924038], [33257699, 26355778], [27365480, 20744121], [47050547, 82746924], [93667807, 24154987], [7408512, 99766709], [65644464, 20225231], [3529730, 29549535], [33582459, 39514390], [77100694, 38280363], [41719304, 92186929], [57334506, 36172491], [35831559, 19450517], [49774058, 87205205], [77375473, 54830340], [53179708, 68630387], [46476059, 20923297], [68071532, 55534139], [2819851, 15254568], [93975763, 75054437], [27059398, 5070907], [55737660, 1890831], [42009974, 70378347], [88373492, 70786442], [51601636, 790812], [89574070, 79956614], [23726874, 43005279], [55612177, 80704962], [55311674, 54808349], [46150805, 31586564], [74651632, 23280254], [63432528, 27328970], [54057467, 76441810], [63181486, 91314518], [98558396, 31774131], [48415583, 18712177], [64030083, 52646045], [50057020, 7286985], [18716860, 53034770], [54307233, 28753495], [34796255, 35022636], [26106312, 48425991], [45936694, 56792020], [22536963, 49219108], [11705424, 49453993], [83486969, 37674068], [56120938, 70713074], [50171098, 1243321], [56148457, 41820032], [79588791, 32692934], [93638438, 6294420], [98091161, 56583340], [54994090, 58955532], [60813781, 24783256], [32655339, 86136752], [11453715, 77727634], [20503521, 11912108], [79762139, 9450492], [61573978, 171007], [90987624, 56147132], [89567868, 49795897], [34333160, 28838863], [86971187, 6584915], [96251465, 39637363], [53312084, 54633205], [46247523, 48149792], [15418030, 30414300], [6347742, 48581128], [48049039, 10852858], [93844270, 3786222], [44736775, 82539921], [87022997, 40894306], [99645875, 51555816], [47491536, 86914427], [89080503, 42787132], [80236541, 51652358], [90627380, 65100411], [57012653, 82041656], [96974226, 39631180], [52744878, 76782910], [19979058, 22306963], [57918297, 36549558], [85592798, 50411064], [36012065, 97728123], [68259972, 51252894], [12304557, 14134795], [38397949, 5283772], [33134531, 20932862], [84440292, 53117476], [40111795, 36949921], [43607117, 85699090], [12585434, 96928582], [83248558, 48577692], [38344534, 29566542], [86440665, 10369545], [49079877, 98421518], [19844296, 20645252], [80957131, 36990644], [70216523, 55294639], [84374362, 90272196], [45642039, 11979311], [77686432, 98296254], [9224697, 7669951], [72337677, 20640364], [65710293, 90379141], [11433771, 78831928], [3917674, 86593672], [22552855, 98460788], [92814091, 42047145], [9929563, 17472578], [75159401, 52923321], [53687867, 58047531], [64097369, 46686397], [81967912, 53924838], [60273064, 92419637], [9078469, 31788836], [1213165, 83856546], [50620647, 55764198], [70033528, 80295859], [65543195, 55688207], [76903227, 52104289], [87350182, 51935906], [89016887, 51225413], [44850861, 93642590], [21959643, 67707123], [15950071, 4094425], [15574873, 95354102], [58007645, 4499315], [81182240, 96420497], [24830922, 37679198], [17050393, 69172820], [1392047, 53975342], [26041494, 16230361], [683606, 85480534], [94506735, 38896559], [34185902, 48179029], [31562507, 2505878], [55838728, 20750779], [2601316, 44583461], [93914463, 98493226], [28135591, 30491808], [22491942, 821713], [30069786, 19810122], [56596784, 69688049], [86265352, 40149366], [92540043, 89572895], [60923457, 6445394], [74379737, 14602961], [43696254, 5910439], [2328304, 82538368], [21435324, 2194250], [76402708, 60357547], [11178813, 54727097], [17431546, 89550746], [21359684, 55721725], [70393931, 2863785], [5129334, 91948088], [83534203, 54201461], [96866697, 29867286], [39237948, 83633057], [11508028, 26666884], [8885740, 49106141], [4691384, 58236837], [64733714, 7146767], [28097065, 17121930], [93339523, 21406100], [61235363, 8718133], [76609790, 62673667], [93113073, 95843315], [40922659, 5666923], [91241135, 82366455], [55903206, 20503648], [97210691, 46114392], [87230957, 85009748], [29466075, 84113746], [15166440, 13259727], [81501254, 62764155], [23366642, 23745907], [89809659, 63372064], [21371691, 82495172], [40326560, 62935257], [73873264, 62109114], [67872566, 82631807], [73609864, 72034364], [74002974, 62310335], [7113941, 85026848], [12962049, 20764259], [97531424, 41939367], [53386081, 60900677], [87268734, 92554331], [38958720, 27802325], [4907950, 12240760], [79457612, 67444631], [42157417, 13313396], [33996611, 55299520], [63048283, 45302647], [43344443, 85261182], [81455663, 27226815], [85906046, 82073384], [59171956, 45486786], [38019562, 45815101], [31350522, 13897074], [72096454, 29283057], [13815328, 96698384], [45788813, 38012621], [51055095, 26631753], [31483962, 36599507], [27253815, 90757268], [86661668, 82892158], [39541786, 40732944], [52780665, 87875213], [74088836, 94644791], [44343898, 575600], [84463877, 86310398], [40395581, 56968111], [51449537, 66860450], [45868679, 57884465], [85162021, 12499666], [8255880, 39365634], [73712780, 68356838], [55581500, 6925007], [52409421, 3393986], [88440662, 23746844], [92924327, 41834146], [35434653, 24847329], [1639377, 28264335], [62513708, 55670314], [69658057, 8411259], [13022385, 45000202], [8126255, 51905112], [55380660, 93095566], [9428610, 40890414], [37702938, 454462], [72726845, 81776445], [68232441, 32942838], [38706811, 35448134], [22789580, 71563136], [17299312, 43773811], [6579752, 69587085], [40900106, 98356260], [63224607, 67039114], [36703550, 77352145], [81071053, 49931230], [4065500, 46318316], [16507805, 75532928], [28738795, 70255005], [78167426, 28344545], [98385331, 48062320], [66037921, 59681445], [40769580, 57035720], [89594949, 43277376], [24660786, 14424217], [16200761, 90856380], [59328932, 56598040], [27414960, 82057874], [46787842, 10898358], [12541180, 18881020], [54887881, 97204144], [83691541, 37944432], [1583959, 31178739], [28112033, 27323214], [56519148, 4900040], [38500445, 90565318], [62733803, 40145908], [75207148, 73435197], [49054415, 36006420], [29177973, 16370498], [2543924, 85601417], [67473403, 33822507], [43052665, 8707073], [92380594, 56031677], [25313193, 13740199], [21532058, 45906656], [45753619, 35110190], [58137929, 16165982], [28046, 89571073], [77277476, 34823087], [88461797, 34623976], [65856857, 66008127], [46578649, 48569703], [78372110, 39266159], [94636496, 3617023], [93235768, 68877931], [28035510, 90190550], [89195051, 26994732], [40581935, 52469444], [93445407, 8540477], [99180625, 60810996], [3030868, 57549558], [52661386, 88242827], [61236347, 96651953], [53307212, 53539291], [91904179, 89421190], [12435306, 51239342], [67554603, 93401584], [13341859, 76219270], [54400830, 90204980], [89404114, 15600080], [93042223, 56288026], [15218402, 24310678], [31669032, 75284054], [91036592, 88673860], [52004004, 98699881], [36894596, 36610879], [61887967, 63320514], [62599763, 35711403], [46115659, 30477597], [84497636, 61576880], [2900037, 23642004], [17112940, 30748504], [72712617, 23509919], [93426002, 96333154], [44959914, 77352369], [83010473, 28261299], [3391378, 25752082], [91190694, 14484010], [74204574, 35983144], [96829018, 89323573], [25367099, 80518317], [526379, 8172102], [30695253, 71101807], [66822899, 35041477], [91687288, 97474805], [75503739, 41957028], [82867422, 1262240], [63474081, 86364537], [47268660, 70412135], [96042109, 6401068], [62345932, 10157608], [22214211, 14859354], [59103271, 71263131], [78264733, 74569256], [40196600, 26982222], [44542782, 4019049], [19060243, 37873608], [10939521, 248775], [2454477, 90661133], [82800906, 18071327], [463081, 84412965], [16424935, 58994840], [51691200, 2474630], [69918477, 91810197], [62330756, 69870671], [44576042, 76165025], [7824951, 81425794], [78005534, 94506623], [40574213, 38567336], [79412745, 55975522], [63406150, 68855888], [46329714, 66027977], [10461624, 21399509], [22378100, 16887077], [49169589, 9869672], [54029589, 83979548], [5456988, 15609257], [41853885, 43149067], [52520423, 92894459], [48861594, 47819760], [68636294, 93208534], [78832950, 91444769], [40319756, 91213809], [5459074, 60633592], [6339052, 10809663], [49348431, 28558284], [80291429, 56215133], [59191671, 45637693], [54080782, 28030403], [50966344, 33034766], [49165934, 28445889], [38465650, 32938224], [56661942, 25550742], [42160543, 25764000], [3636131, 17874025], [13573539, 83190146], [91126975, 16392573], [96020768, 67229942], [94145957, 25644142], [16934907, 98685093], [12973040, 27982546], [81320677, 3351508], [30615642, 12896155], [4631085, 5776071], [77396885, 67384510], [91732348, 74773358], [18323321, 42548093], [99992099, 46969385], [27488752, 13770130], [44973939, 49922350], [55559362, 70466955], [87551800, 30628575], [86667670, 41132997], [44245172, 17918337], [72432899, 11411545], [95806667, 19360245], [27873675, 37521422], [71029703, 32765413], [48383188, 43751012], [13162416, 51278942], [4417512, 53634255], [4979736, 88631162], [83538978, 76163574], [14997228, 58404336], [14781241, 97491147], [59269638, 62180170], [21881356, 71861203], [90022400, 54717217], [25583070, 42937470], [39125705, 62404117], [53141740, 7025830], [7641564, 73796933], [4496083, 63473988], [49178956, 64730642], [23180914, 63083459], [31672029, 44235701], [57406729, 78692483], [15294767, 19503424], [82053438, 18828456], [96570175, 40582754], [56190370, 98328480], [52677378, 76720217], [8109958, 81883232], [48952115, 97072526], [82886679, 27068401], [66249290, 24924957], [7288553, 85534454], [34975422, 12297432], [3605027, 97266722], [6157395, 86485928], [73780515, 42753437], [52884886, 45952465], [53505338, 38154795], [92611147, 37414559], [15422240, 49320039], [9404858, 58908024], [73281831, 7313388], [71460785, 46593924], [71197018, 95419945], [93667340, 59972759], [66845363, 83179022], [14419729, 56286570], [28922390, 25079997], [23078778, 68064820], [33975241, 76042744], [42852126, 8710324], [39568837, 2172988], [83218940, 91247113], [16540554, 84658404], [38875451, 60517190], [34829786, 21337564], [41740039, 4047455], [91850167, 57846213], [56028316, 75635708], [91755180, 68044400], [16944050, 73341057], [51173104, 59299906], [7833252, 44707130], [30963726, 58538881], [20373242, 51242128], [39964466, 38169931], [36249762, 23093514], [62252193, 26328155], [73111345, 92642082], [49417393, 92280361], [55809260, 26347567], [50607175, 16208117], [77298349, 67774104], [3838319, 81871383], [37864679, 42151232], [82646770, 69304604], [8443560, 99605895], [87119865, 94328736], [60443259, 55035219], [57597431, 60713592], [84482263, 13066747], [635264, 8951447], [20050526, 48701518], [53796996, 45345881], [94159630, 81214815], [79445963, 26955298], [24606439, 59885399], [83490725, 79726538], [79836856, 21883970], [15854166, 52444204], [75977659, 20767607], [60196482, 23751266], [18465065, 65158303], [7852193, 74659522], [10688321, 16536110], [25841498, 43003276], [86795477, 26888905], [90269908, 37457366], [78801866, 71453146], [94764266, 77103415], [42018834, 7364648], [52271247, 88435175], [99584021, 47815335], [35706277, 73857598], [12054520, 63293214], [21840991, 67376142], [31785092, 73648468], [93955563, 42158942], [96050897, 70271252], [95173793, 39779133], [30439341, 97420992], [76586568, 23531011], [6275269, 87809280], [43949429, 89232201], [6544568, 13322217], [72556861, 33203930], [68409825, 53948519], [97233397, 23627908], [9201490, 34839524], [48762285, 45604210], [27347935, 20182384], [97289897, 83829295], [18301886, 39533693], [36284965, 41291749], [63841144, 5175803], [56198897, 14273829], [34680364, 46782288], [87915710, 99695404], [47535312, 93631605], [45645435, 86589719], [9367360, 16726579], [56814392, 32919440], [10478133, 20055860], [50675131, 9967156], [24258132, 67284829], [96201968, 63474799], [23659118, 30822905], [41199541, 83949895], [13312519, 75597091], [31869833, 94317860], [36241049, 75730095], [80218684, 95356722], [4118709, 75788057], [7863691, 41572132], [22246368, 30036694], [82386442, 25502221], [70529918, 81252043], [1333828, 79306977], [91172375, 17636928], [20436850, 53798671], [18678004, 91722357], [96319435, 18157174], [20636641, 9527217], [78646686, 43084553], [38949207, 74513345], [80524383, 22516324], [27128510, 94837262], [10668561, 44651789], [47327973, 68934619], [23881534, 80077623], [36555402, 8435836], [88966921, 36864704], [26047389, 25193508], [43202593, 41384079], [860592, 61546959], [77994568, 74460325], [56216713, 15991893], [9945205, 80961316], [12746972, 89755961], [36990919, 6128863], [44474198, 61067658], [41757974, 6041466], [46421587, 94149642], [86443144, 72456952], [36662613, 98925265], [5659677, 31570554], [87758347, 54188049], [66251931, 61134776], [8596796, 77222996], [41344848, 12995952], [219541, 97664533], [64534861, 66522934], [74485777, 4748069], [2147719, 66301841], [73656128, 72933848], [8291475, 36483512], [20072330, 7953572], [97941275, 43774376], [92657252, 67931805], [25034564, 96302886], [39041570, 79080774], [10521975, 86241590], [91982551, 34841359], [88607711, 59389084], [95636727, 38949821], [42158966, 31107475], [12946404, 52693566], [68304866, 76802133], [98014128, 67295058], [84275275, 84505800], [37047171, 56688499], [10171542, 70416229], [57534429, 42749806], [29602226, 45121141], [57173367, 29634655], [44722969, 99280151], [19619114, 50496080], [69614724, 96189872], [17873674, 95453130], [68412234, 50473261], [35982957, 25179696], [93416858, 70111768], [29978923, 35766921], [93077747, 79288982], [93814636, 51289714], [43661884, 98317969], [32651622, 79218018], [63705777, 96611139], [63381226, 32332550], [85081975, 2651373], [44954788, 77349387], [18073516, 98267375], [66097999, 7042060], [97665441, 45965166], [91621412, 14562031], [92857719, 82113516], [78379795, 58305189], [97101999, 36997844], [73773835, 72118278], [31755309, 64752395], [77602518, 73347295], [67532151, 42648623], [95429008, 25654954], [8450055, 69856971], [83036451, 28884700], [20767580, 83085648], [45034000, 44655033], [74904901, 11273809], [38898917, 4048223], [92893704, 47329867], [22621267, 35578140], [67451064, 64135726], [32232838, 50392656], [29590447, 6477306], [1645505, 41244278], [46101057, 48702204], [71545810, 14724731], [53175644, 65019931], [34792796, 43350575], [54771150, 1059291], [68501460, 2662881], [29214912, 28353010], [52466341, 59521170], [82363443, 31457061], [78855635, 11474740], [80604021, 7388621], [32881317, 83039332], [73170188, 59634822], [64985781, 46958861], [65851093, 49254423], [95274861, 17280687], [73123276, 23141226], [87583158, 72268108], [48171408, 77099925], [56506647, 73893700], [16780886, 32392356], [25551446, 63877093], [64103840, 37841962], [81992882, 58526612], [31629009, 84002273], [22384771, 93554056], [69692418, 88488377], [71674405, 11126997], [64761201, 94203220], [14702530, 99873452], [50701436, 57362742], [72825659, 54708446], [7442442, 91389826], [66519237, 43576740], [15647774, 66944003], [42682572, 60621094], [31327783, 16289872], [20037304, 24939503], [60981929, 11620410], [82190209, 50113645], [51074862, 94880340], [31275740, 10799207], [99346717, 19806297], [97179798, 60451606], [90554049, 32638285], [63802401, 25551489], [35816640, 93852078], [74297767, 51253087], [59721314, 37833618], [58428462, 57170902], [43394964, 5793791], [92152708, 95618375], [70789179, 93496722], [68954271, 47396113], [18956812, 47414163], [76544013, 59801809], [98596645, 21858386], [30768443, 63551385], [81965634, 30590726], [94706213, 26620460], [36833039, 25898599], [27047017, 76668675], [52838546, 51761825], [96354500, 62259399], [20840655, 62759251], [52116080, 12604005], [98275595, 40309994], [82569661, 88756137], [7467715, 92464527], [45311656, 10915795], [2136340, 67688242], [39793069, 13470600], [2877104, 21376186], [11707928, 62217931], [26794196, 68965508], [4396762, 23113898], [51545620, 69206426], [58611921, 58308717], [57056131, 71366029], [32766570, 5524712], [77108010, 52611888], [41768231, 38102754], [47403216, 64434314], [14284174, 63223590], [19133778, 4916886], [622670, 71460143], [43491184, 11777749], [54715408, 64476849], [91953019, 77493393], [93559638, 52322773], [28157501, 19614392], [98497399, 31201181], [45993901, 1414079], [60762173, 45484198], [68379587, 76888763], [83659539, 48538876], [3499199, 757429], [10409112, 31056058], [40036385, 76371951], [97695182, 21886802], [26401900, 12396718], [39961612, 90731806], [55782485, 58596072], [5716183, 40694577], [39673445, 74598638], [23623146, 7892790], [63117950, 48181083], [60526587, 72501048], [7808670, 8461092], [13018304, 66901085], [23180058, 59590443], [79926342, 54678164], [94971856, 78618400], [38693999, 77859592], [7207018, 60446084], [64859244, 59090243], [13698642, 22991272], [36834520, 95968303], [20382162, 10316574], [11714595, 49388154], [12333410, 88201629], [649713, 13837526], [46248650, 31971202], [33539657, 93213268], [22765206, 26345165], [47950409, 57344552], [42181337, 31512172], [84368685, 42884984], [44603132, 32122565], [32381341, 42757993], [71117992, 22301443], [65234382, 87358478], [91992674, 87703708], [69361287, 58655518], [8753811, 60465417], [54417560, 66176001], [78113203, 4928638], [59937780, 84028471], [59962601, 80633266], [61558334, 95974919], [59496476, 19407118], [49771975, 27314266], [28272001, 90098983], [30886060, 37194985], [50363776, 7264643], [55738449, 87953055], [57078986, 18444662], [83731145, 5241201], [36475501, 76079475], [58320195, 50045204], [73791934, 34829533], [12513893, 48953395], [39084223, 62470309], [45675888, 47668860], [20082349, 6896968], [58451777, 36838618], [45932576, 9043369], [11851921, 32082982], [85743031, 21221007], [45422605, 22522422], [72888410, 63439305], [22254283, 18153733], [97555420, 86339842], [95863585, 62808680], [6586556, 33326822], [22364056, 41170382], [10289279, 20430887], [46544051, 78303899], [29532456, 74392589], [96613409, 56910956], [22482263, 51713187], [2367544, 14137489], [89818470, 99112513], [80813164, 47351216], [10156474, 12718194], [83023296, 62198495], [33593518, 69116034], [87137433, 41643550], [59824744, 74534201], [98268129, 16508181], [64971072, 99610679], [14134674, 71640523], [43048512, 36284997], [6859844, 64347358], [13729381, 42121261], [71200790, 28503316], [47003598, 79615621], [90298869, 52961547], [12217580, 11937917], [52162588, 47703545], [3753119, 43947563], [90639709, 56460182], [80623100, 48977783], [78573481, 93981748], [40777146, 9302544], [38777490, 10496363], [29765347, 7583602], [46033373, 27418406], [58400567, 63625483], [72892378, 51291972], [45443922, 3009235], [2916248, 30275082], [18079790, 23993408], [23126920, 40346163], [31242626, 42556184], [60255924, 55936074], [900102, 19029274], [17165288, 11065329], [70424988, 18261944], [18251413, 45095030], [12237298, 38477960], [86651227, 10738032], [99926699, 81118662], [64249369, 16718305], [57131747, 53732943], [72641413, 42677572], [51285716, 76829700], [23909698, 32261278], [40010706, 27457102], [17605462, 19558261], [43759927, 59066972], [84274884, 24405954], [93864014, 80584241], [33412581, 28037166], [39224788, 3894507], [78721741, 76915190], [93162683, 83210782], [59330234, 13584133], [31177634, 81726054], [72470950, 86887568], [42180237, 31868947], [50450016, 6819356], [19577430, 99595805], [10284590, 38691158], [36524309, 14756637], [34178128, 22380129], [39153271, 7962891], [69536168, 59837496], [57039125, 52967717], [7398719, 62053990], [64228115, 76286569], [59249039, 34661153], [34013428, 71307091], [35438731, 84603143], [66829081, 99141552], [60610257, 37654319], [34373309, 75159890], [36313104, 18001757], [61877023, 64784041], [95569263, 94559930], [22723821, 85024056], [94856515, 66826263], [78313459, 74332673], [28562902, 41412669], [59270997, 64377165], [25067587, 54410374], [40904595, 79311261], [90553179, 78700144], [55473421, 55856264], [99847610, 86721016], [84482884, 57718864], [2195958, 68606874], [81423004, 27621287], [22357057, 53162038], [39431365, 26671049], [9752270, 56309902], [61295213, 70347242], [25308825, 1980830], [69166818, 67677413], [35214494, 23039482], [85696376, 93687094], [17140653, 94855221], [14342726, 73911419], [79294056, 50634047], [59689419, 93002817], [95475087, 54798817], [54137110, 7887944], [63056699, 85613642], [15560439, 94576118], [66999874, 69257741], [54694584, 48521381], [99788438, 3736109], [60021591, 48170575], [23699891, 92690895], [22309743, 17072816], [54117090, 68039188], [61409440, 56553510], [8076919, 19879762], [65923860, 91775783], [830552, 10901833], [53558242, 61142914], [23981694, 65169119], [90822226, 30323120], [17421377, 17171814], [6224249, 68627904], [19409406, 37786775], [36019478, 90742126], [40924844, 3149427], [11583596, 32994635], [61555661, 46093356], [71339314, 66961541], [96319570, 137938], [21956443, 18753186], [38640761, 8096553], [75616006, 71829678], [94244801, 97476613], [34483229, 57776226], [24510801, 35039518], [59544169, 47715684], [31028529, 30444677], [80606524, 3243888], [82111360, 44576858], [44026588, 58122959], [79303954, 69924516], [28801479, 48820687], [13382603, 14999039], [72907403, 11423092], [26835233, 40424456], [59493517, 68605174], [74774983, 69067380], [42750930, 16192910], [59479037, 29752470], [65458126, 60323509], [62499174, 19058272], [86856741, 91707362], [87975456, 90839592], [46948632, 87235997], [65551852, 37242174], [348785, 37640331], [62197783, 26596327], [70505438, 34317410], [35891897, 72290997], [26890728, 91319136], [7792957, 81704029], [60011050, 78420461], [50229376, 56545964], [67107103, 92893934], [39700714, 41210066], [15654790, 85817106], [37919307, 38334444], [29665016, 77934936], [12482096, 74551543], [40211229, 40798569], [6457576, 58984191], [43936295, 23601704], [47727740, 14773181], [25702865, 77946042], [33046030, 23646485], [14817549, 77744646], [63073901, 72405623], [2195466, 8493526], [33922421, 133756], [25430526, 51732472], [57204951, 11465758], [67436167, 95879181], [27665075, 93580562], [87014998, 48181151], [55834945, 87591049], [11622677, 23877224], [31908142, 62682608], [10241585, 75672451], [10766835, 12952780], [2633234, 40381784], [22620864, 64911119], [12663525, 61794717], [52943826, 74415923], [27247127, 95527067], [25947762, 36209740], [20439287, 15542707], [36580231, 17870735], [2923744, 73691227], [32228569, 97756236], [46147702, 48644824], [60755674, 52072464], [96422574, 24163454], [13090357, 99799153], [45651054, 85383518], [44434212, 44622629], [27281197, 22069512], [86998196, 35349914], [78883555, 31321463], [81954376, 94558777], [59193343, 22168086], [60215116, 70827454], [50176930, 34137434], [60758998, 128335], [37099621, 24301447], [96849397, 6253319], [87620561, 82744739], [41794609, 84480433], [36636472, 77129928], [45436210, 33514495], [3716702, 19659719], [47932069, 38339816], [62458840, 88773037], [70289688, 13068984], [73372338, 1528810], [7239216, 20331244], [49410242, 24997286], [47438825, 97335949], [26889150, 39998870], [75126911, 73982891], [7784591, 2665461], [88334186, 79221138], [2780591, 45085358], [9194952, 90888059], [2764058, 14784536], [15369187, 82265227], [97479492, 80307663], [13962242, 87617813], [96452919, 79876289], [39479034, 79056829], [75769048, 50726959], [55790763, 92559978], [95607669, 66546201], [93418729, 11253489], [40103038, 26096652], [41838839, 41478106], [62606824, 44647563], [47030397, 90884669], [62065633, 61074540], [88352993, 28193974], [95376037, 42264297], [3828378, 85293333], [44046509, 19217080], [71970424, 53338798], [49183365, 76854266], [32950106, 86876625], [20952493, 78624499], [3577893, 69197251], [96004240, 96085358], [6423111, 69943592], [69542268, 27084848], [20828291, 27488112], [1188463, 63628825], [69868992, 80141003], [69561649, 29665276], [90306792, 17037612], [31857205, 54110761], [49299787, 48066602], [29600040, 27609186], [28787437, 74012601], [20748732, 67609200], [78968437, 73460897], [30561716, 99816528], [52846438, 35931806], [63678695, 82163483], [5938924, 55996817], [23517722, 26433539], [64526396, 99068536], [54367967, 51532276], [3245350, 62947690], [33670622, 4145012], [45253291, 47569191], [22905542, 29759175], [98130990, 81027401], [65879254, 46581726], [68914837, 91593214], [96291290, 38192910], [430842, 68221330], [43951703, 75042511], [92024993, 84947527], [39575059, 11168750], [10882747, 82797155], [85414861, 69252686], [48669700, 80974152], [95225656, 42402178], [46978307, 40835815], [92311582, 79142633], [44022227, 27983049], [99697976, 35217144], [72415998, 53828638], [51100174, 43251655], [40202382, 50097149], [55678416, 10242469], [64792589, 8414391], [59608855, 30792649], [71036974, 7075506], [87808150, 47970189], [65501225, 23510167], [65369908, 26180891], [43212684, 55919892], [79106150, 80529467], [40694133, 54083407], [27981235, 74976049], [99238214, 42982325], [21247956, 24343798], [92109447, 45750511], [23644148, 38325504], [96243773, 40320222], [71512943, 52710768], [78358668, 75727417], [44707673, 93771530], [98738142, 26351324], [92247646, 44306845], [70257792, 97383704], [49242479, 99662934], [22781921, 41740226], [59845059, 89137130], [6354777, 185216], [6208038, 49852802], [33856139, 21151611], [21636576, 27012765], [11054948, 71617117], [27921823, 35192177], [78226396, 49457829], [53465954, 2790137], [90179706, 79856703], [48378177, 52176159], [6935622, 70247066], [17051966, 52058449], [8718713, 51052298], [22986886, 52889647], [20408662, 10163506], [49393189, 39954063], [33108436, 29176600], [46348748, 97996747], [67349449, 65951143], [7391466, 25761414], [4286233, 68912107], [85625355, 28873250], [8922272, 26861271], [33609560, 27631334], [91799733, 91401422], [4385110, 70409833], [61066540, 55848135], [15749763, 85750079], [60988070, 22722696], [55093740, 72969900], [33022639, 48144740], [53880626, 28752005], [58196694, 94565355], [91072633, 61055978], [73826316, 78933623], [62833347, 94685817], [55387445, 89274397], [10846209, 59238507], [2551437, 35887636], [11145883, 87875277], [76975389, 91728550], [18137287, 68563212], [84966739, 36905570], [88661190, 61682821], [58866106, 17584968], [49324169, 75078301], [29598075, 65555724], [47860398, 77784546], [55584714, 18403514], [35661375, 70995848], [80605030, 92231880], [53982181, 59889818], [79455622, 99655232], [65489765, 80622215], [11373156, 68925732], [65347819, 36113867], [67893865, 28321394], [72002169, 91246032], [91298101, 63021353], [52010489, 35006928], [87174810, 47470760], [42306, 81869372], [79287646, 41557052], [75983081, 86705596], [2860568, 73089538], [58674283, 85968524], [43220856, 5346530], [62572793, 81031377], [89326898, 32499126], [73589483, 58680368], [41471114, 48578374], [69493639, 68079985], [58063116, 1644458], [35043623, 2237936], [20830054, 69244326], [44614515, 54846701], [82288599, 97622366], [61415063, 1835148], [9727974, 37415385], [60664035, 90809746], [95211375, 71731657], [75169587, 6792935], [28603836, 55452561], [5915868, 89844428], [17967969, 70767439], [67304926, 35020160], [59867830, 62672205], [28041458, 48470925], [96786690, 30405488], [95179641, 28016121], [33335204, 65918534], [3454171, 29033076], [5258831, 41678673], [15533886, 3387994], [62101445, 91992497], [43467727, 96260645], [56681635, 12629016], [40605447, 16265645], [42804820, 71461548], [35533880, 97104381], [15040716, 38470257], [18155915, 9969520], [72337602, 29292647], [7800976, 31004231], [81619012, 98657113], [9693081, 56461713], [44354888, 19574963], [23304853, 78476136], [15252681, 36387288], [32529892, 90417181], [50843064, 85455888], [9705013, 12892792], [3431193, 1975926], [70172187, 20844773], [37419298, 66830784], [12199435, 21490751], [64324052, 273088], [67580633, 13157760], [86086635, 19389591], [46852140, 19859999], [41605548, 69935646], [19359993, 82532046], [89026904, 55644120], [36387595, 77782816], [13403519, 10459847], [43823027, 15880091], [68385487, 58335786], [25625521, 90416457], [92299075, 42962631], [99005445, 92640304], [63583345, 73616458], [63188138, 84027365], [65553700, 13636637], [17287985, 89639956], [8544989, 19535488], [94699199, 74848234], [22922322, 77316177], [25147926, 9807211], [53399392, 60906376], [76421457, 72394537], [4438198, 60071044], [94780315, 76607080], [51240629, 67168517], [97555801, 34805168], [20131696, 9368], [37689708, 55000414], [1158211, 90453251], [54232844, 72612193], [35061243, 75566791], [68421008, 40154545], [30872169, 71495360], [2561448, 75720821], [24801328, 46804169], [27787869, 66995596], [5015115, 25449297], [27034206, 57870021], [71334974, 71470501], [80203281, 38010949], [22579028, 34642168], [60351961, 83683060], [87080281, 24816919], [19902052, 19230922], [91196979, 33726297], [81461445, 64655029], [40529910, 57431349], [48157152, 59485096], [36010007, 13189582], [90711350, 41309534], [72022809, 76655010], [49482947, 54970689], [41236749, 55084551], [24063269, 57651597], [88366354, 67355728], [87392337, 85104393], [17725496, 10772790], [40189203, 86663715], [18228911, 16575140], [55092970, 47851118], [11093269, 31988785], [71539209, 5783455], [56848089, 93251811], [99393038, 93758157], [64357231, 49122364], [91430344, 46998817], [20162419, 34353508], [94465606, 62014888], [39309505, 19964234], [95193388, 52563313], [27832262, 79324965], [8300623, 41284357], [14850519, 75523721], [2477428, 97652836], [2331296, 16382573], [93131761, 52429328], [18802397, 15412030], [72449556, 43400466], [6360465, 22164780], [74185050, 86508717], [69513712, 89277868], [49363332, 30265221], [74914740, 8735027], [64424971, 62448512], [34021382, 12559152], [95553804, 42835427], [49127003, 86713489], [91648941, 57393961], [41794109, 31769108], [29443772, 54575888], [67582466, 6775068], [85367346, 50026757], [75385041, 72621647], [90247892, 77085593], [29214291, 35131028], [36933719, 35433804], [25572000, 92758896], [29774569, 73694516], [13861201, 75766863], [28100368, 70167416], [45026581, 61531801], [648281, 53044905], [75728580, 45369542], [35924979, 71222163], [9874982, 51008141], [7126249, 94399240], [58707666, 35987364], [77810481, 11933615], [58401386, 15614482], [91571091, 67856527], [70716255, 90787940], [57066732, 67993697], [91899233, 89590], [44887131, 56637957], [67508969, 68944468], [72867910, 84462264], [84868255, 80583680], [26490664, 29528659], [82440581, 76591134], [39052304, 6849218], [5939734, 90981753], [45487557, 67301737], [50818557, 90028438], [13325596, 5138863], [1508243, 80680230], [83233404, 12206603], [64563071, 91708527], [49267399, 71489492], [40737338, 45391260], [2856526, 20629770], [5833605, 2193707], [86537078, 33482532], [84082132, 79595989], [88070672, 89734061], [91395757, 78340908], [74310420, 51883265], [70395993, 45112218], [62463174, 73774318], [99580974, 63791427], [64346035, 70614735], [90360754, 91931926], [37007387, 23735650], [39683878, 41825112], [32651359, 34779145], [96360818, 29581485], [47608669, 74433906], [34797983, 83257137], [55696377, 76164347], [54188491, 90394134], [30157351, 72783959], [59302345, 59932779], [5474957, 47483134], [38867497, 52975685], [20448205, 58585012], [48172550, 36671572], [62772789, 86782742], [24414456, 28020288], [45069659, 61062270], [88375008, 72442578], [21230981, 48886617], [93068895, 25354853], [79656933, 68495567], [23910452, 58270956], [84619844, 7703987], [83628724, 80885265], [55728085, 47807886], [39970947, 5069240], [8871935, 91565429], [64968139, 79053325], [294311, 31549952], [87666396, 54468517], [6869811, 7662156], [20251054, 64650237], [35940869, 40201266], [23068183, 10998743], [88403129, 10103440], [95356883, 56433570], [18391370, 86458138], [51918829, 68109547], [27777119, 5010778], [27266440, 93670834], [50031217, 94492081], [76219005, 93481573], [94548253, 90358265], [59388137, 88781813], [89699230, 21505735], [51139643, 6719816], [73179906, 43837544], [64666481, 5944639], [92308314, 15262497], [56727417, 87063199], [66218421, 57162400], [8481843, 36133731], [39990605, 60012181], [60870824, 33300568], [54039302, 68262303], [42114133, 77081834], [39818582, 99685737], [87616488, 24057270], [48477551, 48543184], [41252921, 24664567], [90082738, 58922611], [35941678, 342332], [29030700, 28760584], [23163155, 34779137], [49901057, 20991259], [79394941, 94186319], [23094938, 80735399], [24925567, 40798617], [37109286, 98710531], [50754945, 62781528], [19716493, 80795110], [64441143, 8440500], [16437013, 18247756], [8851874, 33345965], [91633031, 7743263], [48316483, 86921697], [51070857, 47981040], [11890554, 80763596], [88861178, 93145012], [52094197, 48883342], [27417358, 20340622], [40218576, 5231529], [93760184, 74277058], [99916224, 56865427], [49441653, 2720087], [20237191, 19630607], [56708332, 1101432], [27719306, 20846459], [39472833, 5632765], [50033127, 53621340], [22537648, 60361200], [99413619, 95744933], [45431068, 19304273], [85918661, 51008820], [11680751, 70644696], [812627, 82838644], [71745920, 2674650], [95309930, 91574890], [68590119, 51816571], [6474833, 8720681], [30714065, 10731348], [13696793, 44521909], [10339613, 29002847], [42184341, 71143909], [9160149, 19580968], [71395912, 55900815], [35589849, 99023712], [76359001, 20821803], [61041979, 39095342], [33173780, 55153607], [8392097, 64996143], [16608612, 22520976], [14133255, 58262869], [23349576, 22158773], [64488275, 70244142], [23046783, 22336872], [61399165, 10828101], [57430993, 79973479], [41942508, 61403255], [18104327, 12537739], [19997497, 23122560], [58520117, 83383928], [69828554, 70339832], [97988271, 45341376], [13717766, 93386869], [11455096, 47949233], [61176281, 47960803], [10688912, 76272199], [7388872, 95366831], [20461880, 25298205], [27312394, 44900358], [63922712, 20908861], [22610947, 56662370], [9688659, 64092569], [15876452, 92369440], [90298095, 69650481], [72566579, 87818245], [3729665, 87739677], [47520811, 83430557], [84263121, 87871164], [5544516, 81179853], [94033066, 90634809], [79578105, 51131714], [18299974, 86828867], [80867559, 48727719], [75220025, 66711370], [75075376, 11078863], [26740210, 77964448], [45427002, 65665207], [14974322, 14965421], [62304518, 56865120], [78066619, 10156188], [60304987, 14660862], [6927584, 21643382], [54621466, 93609089], [47327589, 36003812], [75518940, 32284719], [15775727, 10597236], [89216812, 15898537], [85170627, 62592255], [12446681, 10079743], [58679586, 82044389], [89944792, 74856890], [78863389, 93511682], [33608301, 4894074], [478668, 67398421], [92488453, 30674986], [54163382, 78683928], [75416037, 46300026], [30328413, 91594342], [7652953, 58376087], [53244457, 7149326], [18073647, 82037334], [77022492, 53905638], [91920560, 99842493], [48412998, 29470247], [5921344, 56576615], [6686503, 9604517], [63154764, 47501240], [54761578, 69472770], [61021116, 14316157], [27058303, 98876689], [26479972, 65678400], [20092032, 33221134], [19360562, 92915356], [69876916, 41020575], [44987032, 773480], [19198461, 63397242], [11260782, 72524781], [54080296, 53582391], [88572313, 72227832], [74490298, 78434362], [483957, 76661826], [50069088, 38200756], [15787949, 87889279], [18476824, 11446435], [90318365, 81432622], [40141773, 3617971], [87509288, 83537561], [1186075, 32025593], [69170047, 28446040], [26207927, 86644542], [73474614, 33005564], [77641568, 73122564], [46989246, 7447873], [94594250, 24188475], [46437326, 10960570], [22535355, 12665418], [80146633, 52081741], [28887216, 4374348], [15729716, 66814297], [40189720, 51485289], [79603905, 31881483], [51397956, 80601032], [55426831, 55304523], [98168702, 1274241], [64099788, 87141915], [88944263, 11492379], [72403223, 39558487], [90058338, 89408332], [67563522, 21764747], [2559807, 88536704], [90736166, 50522996], [36672564, 64755970], [74404698, 50944860], [1457816, 6236649], [68818072, 34342835], [34260355, 82913358], [43461624, 52354544], [33842164, 15575560], [94252707, 16237677], [45179557, 75779923], [77929827, 43690323], [36745335, 86772493], [82903750, 54490441], [18853855, 5843125], [56710314, 23227418], [74353076, 58066191], [81070907, 64899877], [34194603, 5093489], [62917809, 57672103], [21771948, 84718255], [49773710, 58119865], [16927918, 76040424], [92524337, 12480470], [69048138, 78294608], [65061804, 47063385], [61767846, 47652301], [19028132, 66816734], [95374719, 28820349], [5316741, 80993400], [54336313, 24763609], [54599148, 12930664], [8568104, 24995132], [57263424, 54821575], [44601671, 97999400], [47458008, 20593234], [40197138, 39704164], [69879259, 23358697], [74053645, 44836374], [97287086, 71857564], [44261921, 42143066], [2373036, 18128462], [51671289, 65344695], [45610675, 23854639], [23368100, 8566440], [25827661, 6793142], [39193183, 85663563], [5595354, 39983282], [83626404, 1186719], [42332039, 87381395], [98282003, 64764619], [42761784, 77155686], [79315245, 21880212], [77126800, 66823519], [90873537, 21854428], [81442289, 43935129], [19887465, 6193204], [82833594, 95733453], [78617641, 43148205], [58454457, 66705110], [36041443, 4592191], [15183779, 33435950], [12015227, 55516988], [60783442, 29548336], [22186616, 38421723], [78368922, 37691131], [1001879, 91145128], [26634280, 9227673], [2263771, 18935840], [16538133, 89787059], [47243438, 24400069], [43479823, 67995344], [83885262, 91876982], [13775274, 35561459], [69645651, 18801678], [13793472, 96067743], [65097203, 47683396], [5151826, 72679315], [7488779, 48159041], [25890948, 41623249], [82668661, 97135910], [72417701, 97034874], [74793859, 14761355], [7409436, 66041232], [42355718, 59265429], [56751301, 91560375], [73510327, 9966761], [9726607, 5439107], [35058629, 68744019], [1819415, 86029810], [78714590, 56826148], [77268642, 80235049], [20121177, 94515962], [72010585, 15002950], [77801155, 5045966], [92305155, 41121745], [77048841, 547516], [36405748, 94373749], [77051114, 85652897], [78327053, 30136076], [70050490, 27043897], [480255, 12442114], [67773507, 60998684], [60779127, 98744293], [24170332, 9910457], [3442769, 81525113], [65427878, 83790547], [75551222, 98692162], [72450000, 86615047], [18806482, 25669247], [91743664, 56760975], [11214309, 76670948], [69196955, 44311317], [84925183, 88189417], [25548566, 58581163], [16285241, 53612971], [5644907, 14752573], [32058731, 18093847], [72360615, 53589884], [97931965, 53620358], [39797497, 23662600], [90572509, 51812446], [66631215, 82882590], [99812236, 69330993], [24179494, 2698777], [44052452, 4709487], [73391620, 34726089], [56163177, 86924050], [3510987, 82305240], [41375816, 27754632], [29451941, 99963204], [90032489, 43450460], [53497669, 7193635], [90712562, 43312557], [96442945, 94954525], [23718243, 31367682], [43510956, 67104472], [29475069, 88779702], [29452805, 44115483], [60271830, 74184356], [8144480, 55128900], [19335246, 13810596], [47218276, 6908552], [85897702, 59680275], [38636504, 48965294], [68863062, 67976446], [63112597, 42532324], [73887014, 57875951], [7067469, 90074406], [88526393, 87387767], [96203484, 93633276], [9780184, 12502837], [89209931, 1214967], [34276702, 71600699], [54184439, 81272184], [68934126, 90450294], [61595908, 93704124], [56449784, 92928971], [89198941, 18742525], [92194959, 83471423], [83364214, 31231876], [2759502, 58797258], [32878458, 65039661], [62345014, 63930919], [8211173, 12078371], [59465256, 83237592], [93471423, 65840794], [1817168, 93897304], [45496530, 59113087], [82303483, 82293734], [65647778, 64861135], [66204033, 78577151], [3119379, 59187422], [63049830, 4611171], [38772691, 75184694], [19584785, 13979922], [72673423, 49854940], [71754529, 2373050], [15335988, 10939040], [72646812, 31952084], [34707852, 91730840], [33707544, 97181366], [26045586, 30551039], [22035004, 8072643], [98970877, 78634476], [57077224, 94961370], [11619983, 5893712], [17171232, 7654159], [55625751, 20878435], [56117686, 59114378], [3285037, 90420710], [44556647, 96876852], [40583825, 54547467], [71355071, 82074888], [44703576, 70892157], [10725571, 13012861], [38485562, 37610796], [80403266, 77846233], [11530158, 15187258], [27879821, 7052204], [8453385, 93575825], [47195182, 18960747], [68352036, 84474312], [20177611, 93618543], [91342719, 20898819], [27185967, 26292407], [15979203, 50713739], [6790056, 70206858], [3470547, 97080924], [76324243, 38529224], [62091457, 90913716], [84714945, 25217096], [83398732, 48727411], [87991545, 28609439], [49577037, 36524667], [49834751, 59002252], [38560156, 84957829], [93249500, 39167464], [44222448, 62255908], [43723739, 3869598], [3356205, 73544031], [3733600, 33303308], [12822272, 31488825], [68674808, 38116385], [37051520, 6270450], [89063687, 67468418], [4699718, 50544904], [88494025, 50739912], [21714174, 66420533], [31823453, 57316962], [19103599, 37377477], [8218856, 71500176], [5008898, 58193728], [57383309, 84962009], [39424366, 12065752], [13509392, 56272469], [96441103, 67254158], [77111711, 96594362], [26066510, 30609684], [72653396, 91497549], [82875772, 83741983], [36662062, 11961754], [77806874, 15423919], [23062490, 70676738], [17784592, 18318346], [80607664, 55952380], [98735910, 66170188], [33032931, 53311856], [81094176, 860586], [54523897, 45834590], [4657281, 51724612], [32478602, 62918567], [34401756, 84367786], [4237174, 99608914], [73943001, 9054106], [98709611, 99107396], [60828186, 31884366], [47466136, 24824738], [1872606, 73558640], [74899315, 62996377], [1769384, 12881381], [60907839, 37930410], [49250489, 47845405], [80562304, 96103822], [314112, 6874857], [76208623, 72568361], [17144717, 24152453], [35723240, 30818936], [72058774, 32644659], [69306823, 54565762], [8910306, 19335130], [47294589, 26297704], [61537095, 68635091], [82624920, 44408081], [63947331, 19916574], [38141753, 46891751], [9474259, 61518323], [29736022, 5248049], [58005844, 63636945], [29077188, 62935811], [96411866, 96641745], [5629169, 22794550], [20327691, 83460581], [33552924, 92708141], [27880937, 14502403], [66087649, 82733813], [49356803, 12231265], [82144030, 71311136], [9003823, 69544667], [2891921, 67889017], [19086652, 32769670], [87944205, 79190431], [81051528, 13603515], [90270745, 42572072], [41060181, 61299833], [99480410, 65546844], [41769802, 292047], [91362839, 258426], [7545987, 46307665], [50485534, 7064314], [65298404, 23383541], [16858012, 90996889], [37350221, 78856356], [97623628, 65822720], [33853126, 87191223], [58433516, 34407983], [20955201, 7172555], [95446665, 82697324], [94841245, 49128246], [33982263, 77230182], [3591643, 58251100], [83779998, 49702851], [19408652, 5804414], [55389659, 2503914], [12209945, 58839139], [92299883, 22946450], [67157732, 37865131], [64649811, 29602669], [84990874, 11766172], [58978461, 56100197], [61175120, 61344452], [96574476, 83218131], [56557840, 90439665], [62726815, 53070357], [85013336, 56995798], [47421410, 82580343], [46253774, 72489787], [85746664, 41227171], [69794790, 29000825], [90638692, 44393554], [26550726, 46247196], [71936879, 9358716], [17318503, 23840336], [24243466, 35402972], [10881064, 68204280], [9869545, 62842730], [25309737, 13644706], [6685060, 14004646], [76669410, 53901836], [10929714, 47658051], [33892852, 63719597], [75117697, 19015336], [4851851, 66140608], [70084664, 67963864], [56424437, 55196490], [94064017, 73832725], [36747596, 74651046], [78477220, 46599283], [65092483, 53001333], [7692588, 93729334], [51573736, 7089873], [58514346, 14093344], [74267405, 76527251], [89730460, 41487350], [14248656, 18984215], [78001452, 6260200], [22781628, 60824174], [41159187, 36355458], [80981872, 16338310], [71953130, 82493985], [33798628, 65524794], [87082313, 43321106], [884338, 5084839], [99393041, 41905580], [75974925, 97347804], [14790267, 24270849], [87885544, 64311417], [25857737, 12531818], [30856113, 18576686], [90982957, 81072300], [88296064, 39264562], [30356874, 69648085], [65322235, 74299551], [71863377, 33492675], [61193538, 9253394], [68929684, 54706960], [53190788, 7108589], [57359182, 89470092], [50218788, 23215044], [26218647, 93710258], [67187667, 6568766], [3469298, 60829678], [34384203, 21424483], [62061529, 35059982], [46410212, 81624724], [42152557, 61258790], [78317212, 52440976], [67511382, 99364365], [25100954, 5278320], [20361774, 33079321], [77988714, 31502112], [47151464, 31624341], [23356110, 55132903], [83825392, 1327493], [67107495, 27390766], [38670728, 22427817], [3688503, 66637065], [5571745, 16750867], [74981255, 56122681], [6692649, 88433723], [8392921, 26698762], [76166756, 82572479], [19230268, 60568033], [29078572, 93614538], [43377036, 1679303], [26186515, 58159751], [46294568, 11212406], [78570368, 84603223], [5508085, 46735607], [11614557, 31879508], [49451795, 92648607], [76518560, 37148556], [25759703, 18909913], [76317719, 29864115], [48079092, 52016747], [73190280, 8948457], [48987131, 71372804], [13561081, 78860521], [38510076, 88518380], [92195444, 9610741], [86328168, 73616877], [67688664, 83934361], [11646811, 98736272], [69688372, 40897792], [7164691, 22871869], [31291577, 56367932], [57796417, 59782563], [3913229, 15341332], [20562115, 43104052], [25523395, 83221718], [83386260, 53849231], [41330769, 26658822], [70807490, 58815966], [12741077, 81271429], [3271346, 76866372], [7977679, 90038424], [94505711, 66376795], [36795594, 4093132], [54367203, 44658591], [15634736, 48937663], [93450518, 56966575], [41212844, 50781753], [45867636, 74085411], [12763796, 7032026], [9226010, 8234987], [17600452, 15139714], [13091813, 34172381], [70801979, 80730927], [61762169, 58014930], [52590348, 99319064], [80286148, 51560407], [72231281, 94867757], [27248233, 3617825], [60017083, 32640680], [29058639, 63644583], [69674514, 79185716], [77724580, 76358114], [9720838, 38731454], [28470308, 35535443], [88079703, 95201251], [23633235, 76348706], [19649365, 36939384], [52413636, 82102490], [56006313, 41018646], [65337836, 11491542], [71501038, 71723821], [30050086, 89833350], [65044456, 19687493], [45552725, 23290007], [23806217, 8912996], [29459762, 65173888], [48107551, 26398281], [66956991, 58163615], [29577368, 99671405], [58818718, 215823], [61859987, 45060805], [84602002, 30105153], [66103532, 20717508], [33681375, 74691438], [45211387, 52326810], [68864534, 55723690], [73849074, 21794367], [51818897, 21840808], [44551870, 88247211], [28344509, 55023765], [89420237, 37823465], [77249504, 81138326], [32850832, 44054576], [41978968, 40126275], [37272672, 41551753], [37902096, 77879829], [88196990, 92004437], [53343501, 18540426], [56950161, 99241138], [1375026, 71567794], [28630962, 33700105], [19514638, 44073106], [59009371, 28948072], [3460294, 44482434], [26410895, 76313212], [16236227, 74498030], [57827959, 83918970], [60460840, 53512840], [84301613, 96726819], [15198475, 88776375], [88989757, 64067521], [83558927, 34017462], [14146905, 6822957], [50651058, 11499259], [91326473, 44116696], [895988, 31076396], [29092171, 30900005], [67110014, 72418211], [92068585, 27383837], [95715961, 78272609], [59043018, 54738606], [77831701, 23126229], [9543957, 44592755], [95318027, 63696035], [26848166, 12950555], [25643120, 62006910], [71160352, 39735628], [44529337, 54402161], [27328798, 74966300], [60715252, 29697836], [71435191, 84791605], [53400925, 83847943], [90121404, 61940687], [76878388, 84369986], [61261682, 62748500], [81646054, 14444771], [61876514, 84770552], [51179075, 35157475], [49783203, 29219554], [82855039, 62288220], [83206478, 54958735], [45994371, 26302919], [56333803, 72409590], [12474892, 42414829], [95124620, 77548531], [18393726, 94770485], [30623301, 95134693], [35062208, 64871533], [93028511, 47970987], [94371646, 66720552], [51013218, 90471814], [4471464, 93970464], [60322772, 1035349], [73650805, 59738088], [45651739, 31657786], [3994266, 37618489], [97783004, 53545557], [33236203, 34772652], [60975477, 78633651], [21134336, 95384098], [14902457, 62626797], [19059059, 32335757], [32116260, 59592529], [59399942, 69392120], [41771076, 97830400], [36385283, 32377535], [55364103, 43399622], [64075812, 76002083], [51030212, 17582661], [58487581, 64278587], [37549509, 25492998], [36999190, 91098601], [8292699, 74584020], [94777615, 27587156], [88481923, 23555108], [57866539, 82543475], [60520655, 26135610], [52144059, 98839625], [18491534, 85078203], [45700572, 13524478], [92218471, 60525785], [44374271, 92935091], [23791513, 97605417], [91695955, 13981520], [4915640, 26384613], [1511344, 34648188], [56224327, 25828257], [43252241, 91614710], [53351391, 20968763], [23460527, 90668137], [89437352, 54192736], [30095235, 50428200], [70222111, 62402481], [58140564, 27733839], [4190062, 42949719], [86699721, 88281592], [79824230, 1103173], [35185503, 12592015], [36466310, 88517067], [42106212, 58412952], [12374887, 23244798], [49686077, 3421306], [11915553, 82552151], [54482446, 43986039], [39581360, 5533402], [11485443, 72228200], [83310697, 47694849], [11045127, 62488180], [59004147, 99355629], [61933657, 96504267], [65125786, 75657343], [35796184, 53966618], [74849707, 96674258], [87806698, 25151770], [92023487, 9028543], [34028036, 41399738], [4979269, 22816142], [93830494, 88941760], [53061987, 57334331], [13130353, 91820714], [40840426, 85936594], [9322823, 95457323], [84932502, 10435894], [21450011, 24686115], [67445272, 4408851], [91932698, 8963381], [56559100, 37243102], [5409747, 9806739], [39831505, 72723755], [13007387, 30522440], [85462739, 38350602], [15184931, 39275638], [4922087, 66958677], [75840845, 29142121], [68699374, 25337013], [88672474, 23307511], [82186965, 14532811], [66129041, 21688568], [91498546, 1626606], [96948589, 59022726], [22165289, 10970131], [5920337, 65860857], [57616589, 85749036], [79627135, 77982221], [32284412, 62307741], [69433409, 41445298], [75906232, 8135297], [53545456, 90059200], [3613201, 7190044], [82927336, 22305477], [14718893, 55949496], [14619474, 67936455], [10922502, 96588727], [58228361, 9523138], [67555208, 89144832], [15964897, 96717538], [15770392, 85479266], [65213650, 87857648], [38461080, 9884430], [87119508, 79320227], [17658526, 61921993], [78403517, 76395707], [81934874, 46140928], [85420653, 3782779], [48785220, 66397441], [53158312, 74348991], [8382284, 18159073], [30612429, 85266610], [92653463, 34584211], [41445955, 20107251], [22232810, 5952936], [18006973, 83446268], [33712663, 84846119], [77908872, 50554051], [51450747, 12559214], [67452287, 55328821], [35555618, 1826702], [55735445, 8846638], [84380861, 87049368], [6494977, 93533002], [85618119, 22234976], [20168630, 55833317], [77224588, 34133523], [65923069, 5730884], [42397942, 31415312], [28582122, 62502936], [72750901, 55773540], [63918874, 68373671], [8351067, 25886981], [53444511, 35550446], [72238464, 98872329], [28980700, 35238054], [40155481, 90790671], [6941895, 84250968], [43860309, 93074325], [83429297, 3502365], [40137952, 34457894], [94823427, 14071004], [55442625, 57949929], [17851656, 77475149], [47980995, 62709720], [35808238, 98503797], [93897699, 69808226], [68530939, 89113767], [56861451, 93860222], [10942812, 88768640], [51993687, 81420550], [16015978, 10198725], [61104297, 90226551], [55691199, 61958856], [96562024, 9813440], [13556493, 84280299], [48579253, 30416448], [96122142, 90391331], [34674468, 26154856], [95089432, 33834120], [52390681, 93149020], [35664435, 66547817], [2334214, 30169892], [6868736, 66207707], [27487995, 46097870], [75111601, 47937441], [28050596, 18772432], [75533262, 83832243], [10493393, 80602935], [70955946, 30483842], [86359227, 58803917], [48042545, 44233531], [73586678, 29697553], [21700823, 46663518], [66806414, 17209546], [62119519, 17818826], [43392231, 51744445], [40421251, 50749089], [56652267, 39387630], [35798709, 31443495], [97839663, 13684586], [96863300, 69515903], [58813523, 89694167], [52839579, 44371414], [10063699, 32718913], [30905287, 43774675], [55859199, 40098243], [51639615, 69604470], [36190674, 1617655], [50843708, 10504294], [56258482, 50613032], [37694271, 91891045], [91645612, 49314503], [27738938, 83149697], [41356730, 92872689], [96333597, 83518824], [27811255, 18633982], [85676989, 50335256], [74200245, 77630104], [30285013, 22022151], [91915943, 8017298], [82426449, 56233874], [6492306, 16939505], [17366232, 88323978], [76929602, 12062371], [12386681, 75814571], [49060629, 48157940], [38273253, 30080335], [16399695, 18374926], [23721776, 558285], [10532579, 17956299], [66973246, 68520591], [37792284, 24027503], [4183209, 88151758], [53294249, 63191811], [91369819, 88870799], [25950542, 30121700], [33645266, 16795740], [97995140, 29799967], [54123612, 82834990], [2861310, 30016230], [40222243, 85059449], [55344819, 81198414], [85180956, 3788632], [62287993, 63979712], [47643626, 41863648], [89298875, 41496353], [27512107, 90724821], [37123260, 71776550], [89206437, 68257412], [75962143, 69906093], [74275835, 25780215], [67101982, 4988179], [74240823, 71396348], [78887651, 79097853], [52438356, 27852993], [97709161, 8919047], [90595170, 25908196], [26707076, 46463907], [22324033, 83092634], [17718898, 54037215], [87922302, 96110501], [99787889, 11839063], [89548346, 51958385], [80010512, 19368844], [59669758, 15692377], [64980980, 58632093], [80040007, 78715416], [6747969, 71500990], [87498665, 40307499], [21638817, 98038805], [7759872, 8539568], [62908301, 45800375], [42707601, 21560645], [45168021, 72961543], [15553003, 84267860], [99765164, 97834318], [47807670, 43655080], [77976893, 53824055], [17180190, 15256168], [11567922, 445542], [75750317, 88219580], [36456162, 25116130], [12697949, 33035020], [17459322, 41020931], [51596290, 40038878], [92190349, 41580524], [84121899, 34563804], [77761241, 23602465], [27440230, 71891926], [33910725, 48165389], [90166419, 53506974], [62556799, 5821547], [48950614, 4891978], [8654869, 47317122], [34423718, 56025416], [81258727, 7370628], [26097987, 87594428], [85609712, 27632532], [43202358, 11521969], [39684118, 89568224], [40756200, 5793172], [13792883, 99330694], [15590345, 2328842], [91817035, 23355066], [25567580, 68973469], [52139118, 43166453], [86964487, 31099022], [26953822, 25702263], [45922024, 75701770], [50432396, 38558947], [15135945, 95949072], [28135959, 87227074], [84903262, 83492583], [88186080, 17896016], [56504113, 86570898], [96603735, 39148468], [50322522, 86382424], [59818851, 82803888], [25076854, 39551170], [86606877, 66639296], [79060026, 74956216], [27699521, 64249990], [86529660, 61962965], [32616366, 91815969], [71844993, 80512980], [96715279, 19006946], [42123452, 75237729], [44748075, 9756849], [59730163, 47308886], [95747516, 25827761], [18070243, 1527378], [45623478, 59094604], [62075996, 68123232], [68381837, 22372784], [87615706, 29257226], [20976290, 43906445], [54028734, 18561398], [5022625, 51084663], [28528916, 2484900], [36249452, 25353351], [38709444, 79017287], [36160443, 63394341], [96362330, 43552383], [95414806, 55990096], [77747830, 2783205], [81632813, 17178088], [28045210, 72211292], [80549275, 1812029], [90396136, 36965379], [5835647, 45085112], [86382868, 51728026], [51733137, 89524778], [89102618, 54373819], [42895984, 73933423], [81210257, 47182294], [61860842, 32802714], [38088898, 19249727], [14125365, 73484093], [29762209, 41594438], [83794698, 22937346], [57731528, 43004526], [89748934, 82564085], [95531357, 49791901], [46306738, 34951396], [66378274, 48102341], [30091600, 49256969], [5687392, 22143836], [22315805, 6086732], [48676733, 68532054], [94410276, 68429016], [83475236, 49649325], [2034912, 64099065], [38700171, 718031], [15301459, 17949507], [56474339, 93588587], [17928237, 91161054], [20989496, 61122328], [68051528, 82822802], [78329312, 38258183], [76834404, 21065363], [45254407, 1862181], [65277795, 36428374], [14404249, 66214707], [15229382, 22623101], [31705811, 83618127], [80533292, 45505022], [62129303, 45740378], [98687563, 58093470], [18700984, 16030563], [28137616, 73246479], [47354551, 35064518], [58003735, 63137247], [76903974, 36975395], [95697728, 8767519], [46352943, 70353776], [20887454, 82905816], [20672061, 88958731], [98788431, 95208387], [41372996, 71217253], [59466917, 31831502], [8435789, 6008318], [34744909, 27114346], [97011362, 85030674], [24463866, 76686750], [87101274, 51910204], [82744879, 63570884], [71270533, 13972952], [51353396, 70036505], [79664368, 75417662], [86400445, 54732061], [22358254, 53318305], [91350613, 99942176], [14296817, 81052481], [72468936, 35414968], [26844963, 13207970], [28916607, 37671689], [49522240, 57791131], [30075544, 53134171], [82324850, 83998605], [80748670, 9739165], [13365160, 27032133], [90262738, 38360505], [97493817, 28761291], [61900292, 30310433], [69188663, 91829859], [58553361, 43428382], [41538417, 89735698], [83654532, 79256582], [78769662, 14261808], [1568857, 38633077], [89512447, 89464442], [20634998, 18519823], [89208210, 99058914], [37998854, 78103706], [26343432, 30388401], [64372989, 77825914], [8950829, 86909811], [5846690, 12950571], [90833679, 19914465], [9038830, 48915072], [35842231, 3462738], [723096, 34633841], [79816119, 58055751], [87017685, 6834742], [85651644, 23259907], [82115212, 28929023], [7506757, 30939224], [93288172, 37309301], [89292791, 56533452], [17023175, 5478640], [31637024, 4137487], [23302282, 34562294], [90575189, 72247047], [48639029, 64764056], [61341392, 27955340], [99740848, 52517910], [27962755, 17359345], [54555182, 81598010], [2554328, 50922256], [57094017, 18591999], [39199926, 57081185], [52247441, 53602798], [15430877, 91107870], [89129326, 61559166], [43581438, 17647175], [20344074, 34904754], [75843536, 14439283], [96380565, 24693306], [8796741, 42781875], [2964593, 33847076], [7615912, 18629117], [67487934, 77919748], [85858659, 45967647], [87515591, 95323638], [6796649, 17328337], [32656039, 59372818], [93396458, 58173404], [38733394, 82828229], [28789858, 40265238], [94190052, 26607007], [78073159, 31477632], [15324032, 84394624], [81679146, 18066145], [33155261, 67109035], [64628399, 69589204], [25854492, 52698226], [87593028, 97048370], [43085548, 86032065], [40945552, 96883751], [32213463, 51405882], [57763729, 13178206], [5960556, 97782255], [26806873, 21683336], [42599311, 68449866], [73215555, 39727802], [80295976, 93018230], [32469570, 87980404], [9518971, 75697997], [21140147, 84512078], [33284071, 45979483], [23511625, 66545148], [422011, 85706722], [39717640, 16544020], [88263923, 42786169], [76026321, 54591129], [35429305, 44250311], [91807114, 19139461], [66622790, 93021241], [40347200, 43181769], [88222411, 79305687], [99690578, 46277075], [68255347, 25717108], [98478228, 4447653], [20817449, 90730860], [1070952, 49688858], [79022789, 66396198], [90004868, 60859618], [71188253, 89914580], [67915074, 44105427], [40698449, 8744300], [3242345, 74719826], [29518246, 35448386], [55984464, 13508237], [83131106, 98538780], [57133863, 46346876], [53577466, 29005436], [37680917, 61958911], [41219041, 32807912], [83032867, 75245159], [23144162, 75928662], [62122552, 18757162], [13389264, 83062672], [9043049, 26862943], [86033850, 47984061], [94610270, 8093645], [32520863, 40263600], [20560668, 36414573], [70780464, 6442442], [66777110, 5717557], [19711279, 83450039], [72869119, 25859701], [86046764, 11911752], [19333138, 58376221], [23093031, 93148286], [45272044, 16625971], [7873372, 35916581], [19081317, 23961710], [24466557, 63414937], [82227957, 94952737], [72452038, 65463954], [65909100, 65943211], [24433607, 61656032], [40936984, 24188160], [89914780, 74406670], [18227983, 16926211], [55050820, 62675705], [27519370, 92018417], [68818656, 46760844], [48457095, 997970], [1373131, 20372315], [31750864, 9841536], [30337514, 2517812], [97671237, 24828167], [93022970, 69959402], [98316187, 67201556], [59874521, 76690036], [36838789, 30483820], [4554634, 20281592], [39407548, 38020108], [62936109, 24715641], [23847738, 40208282], [86632035, 27663953], [80405949, 20820132], [56994635, 42997543], [82720869, 38053167], [10427399, 7830755], [21967621, 65774748], [97799033, 15851613], [4399599, 79102121], [76731740, 4111770], [17188505, 51241284], [64303112, 88624496], [29762140, 81630084], [63922553, 60427246], [67925503, 18194421], [17595519, 21208874], [12476120, 14441584], [2017120, 93282484], [9279509, 11603897], [47289313, 81133621], [56059922, 82054954], [3218050, 27785737], [49564365, 21453096], [17762957, 36699103], [34521283, 88512829], [54713492, 4271586], [45520751, 27694083], [20437695, 60959897], [55499551, 14818597], [38331197, 17399994], [23543445, 23774525], [67227950, 39098139], [29902350, 51672530], [35912062, 48463336], [94756914, 48743504], [61090979, 99193828], [19932795, 90788146], [14082923, 19979205], [2099038, 30671165], [88272725, 2342083], [29969817, 80976525], [99157218, 65404954], [83022262, 50106357], [55461775, 52493641], [78892832, 86688771], [98925339, 31809502], [61207218, 73998069], [17032156, 54912620], [66109070, 8280988], [40637540, 41244393], [87433651, 92410198], [92318524, 7082023], [154908, 64531984], [95555012, 41297585], [54336231, 76231378], [98829469, 64728034], [30229445, 88803317], [68792948, 8136566], [78471526, 81846795], [40025717, 61848324], [18343460, 45546803], [56179986, 6552679], [91475946, 90981764], [3300834, 481651], [76646028, 24872338], [26619, 80714642], [35018190, 5022239], [31596855, 79263236], [93541346, 19647942], [32050944, 84264565], [73937460, 84355692], [8716691, 82729418], [1155314, 43703440], [98773652, 79214243], [52237093, 56193401], [47128107, 96517669], [40045684, 27382727], [74947344, 93468366], [21871890, 78973379], [57199803, 73531621], [3905230, 47681915], [49995180, 73546647], [89363751, 73448195], [30969340, 15147175], [55758970, 65312825], [4865005, 18043989], [47937092, 71217753], [46348328, 25525082], [43166306, 80573853], [96848806, 94408641], [40024678, 3913771], [25098649, 86910259], [54462009, 43304799], [16457907, 66091216], [32135310, 49883634], [95662155, 33991254], [13769500, 77511187], [95434918, 5640524], [31830251, 56381949], [6705451, 86501268], [87136242, 97000227], [30278098, 32997334], [95927352, 32781268], [65264402, 96382710], [86126020, 86010816], [72394947, 83339641], [32974276, 86298069], [73857694, 59969635], [51003506, 5420383], [48965675, 70966322], [35026106, 50333233], [77385677, 94305453], [74060584, 12690389], [73045272, 98253799], [26640820, 6251863], [80242506, 85720925], [70597583, 96776387], [55506998, 92352070], [52638331, 85896669], [82378266, 47815659], [21540909, 33436716], [35319140, 44937405], [94848466, 30004509], [87815184, 24628784], [13115045, 96843605], [9589900, 85167270], [28481114, 70559787], [68948, 16788289], [97692394, 60738677], [44562889, 55063555], [59699139, 44409407], [12060932, 87209], [41123012, 49684363], [58924256, 1127540], [29500440, 22177945], [4216980, 98488065], [58177963, 35647169], [27909247, 86436441], [59055611, 73126142], [36688625, 95034162], [7117424, 19751482], [17050323, 23552618], [75231682, 97663946], [91426073, 45677582], [55054220, 60151368], [7813763, 80473035], [74273107, 14082678], [22705762, 3124050], [69116081, 76404315], [36821890, 80872683], [35082252, 48934882], [13627712, 86335109], [55909930, 53193326], [8280845, 60817370], [87313514, 54051641], [92641281, 19852573], [81083350, 60817986], [50964697, 82165106], [96886639, 26302799], [99042001, 78570230], [36086229, 55644103], [23875672, 99481422], [89081159, 21385970], [64612731, 45015619], [55523560, 36136112], [79664265, 15017883], [384509, 8813209], [11180705, 2447439], [34080097, 38435677], [78835593, 50677486], [17253948, 15631904], [67026205, 3206205], [4372980, 90252181], [8596204, 68563951], [51459436, 19342755], [43063537, 32985167], [39294199, 52273949], [54190228, 42139351], [63442909, 61145882], [84981453, 5211738], [38987965, 15851321], [85595351, 43992194], [74911727, 61198890], [89880363, 1314268], [16885135, 78634587], [41914491, 12932295], [82800071, 40335318], [7095488, 69381394], [73688170, 85965874], [80919588, 55454404], [59496474, 81467548], [78975788, 36593576], [82508349, 22891929], [46692706, 95243087], [98399089, 64870422], [72979579, 89717742], [57543128, 86396065], [29106752, 63532501], [15576246, 19962108], [48352984, 92342171], [19542763, 17140053], [96894029, 8777177], [26435459, 8235376], [17070908, 33216600], [33356787, 80185100], [25843019, 52787801], [77717933, 24715829], [38157025, 24890664], [98103982, 33918071], [64445801, 75132355], [97591088, 44863011], [74379065, 91629125], [66602546, 75701116], [84212932, 93535818], [6821574, 71274289], [83315073, 57870683], [33813552, 98086328], [6818884, 93145300], [67873081, 83109456], [21560162, 55343858], [57546489, 65268745], [19947192, 43023889], [53677734, 1220272], [95029091, 27956136], [40354581, 36767704], [91565786, 21986684], [22129591, 90049723], [32647852, 20898765], [36374730, 88253339], [69099298, 87159213], [50875451, 81183095], [35527532, 49393414], [49666268, 16980866], [69479778, 90334323], [90729699, 87785340], [7395112, 34024332], [65121425, 16919274], [77593696, 33956487], [15454340, 96864846], [92345483, 42371555], [33723571, 73876854], [69752955, 59815969], [70396364, 47671067], [29418037, 13162200], [92478583, 33132350], [38374989, 79537185], [4125181, 78567108], [44567749, 1853992], [61867657, 27413172], [32845497, 13705755], [93018257, 58355031], [65286214, 30735722], [55476833, 39010476], [41738055, 32442830], [63672791, 50081580], [39057944, 90467788], [29692334, 62764940], [59107139, 80792392], [90357498, 39773314], [44370524, 40401727], [89242720, 3647620], [4338509, 3974625], [74808756, 71942468], [25359154, 79131720], [47791363, 71175447], [11751144, 42873058], [40954188, 18023813], [82751437, 26262480], [91771208, 74768762], [17717664, 29515356], [19086669, 94668780], [69253689, 96060466], [67568857, 83790487], [66350302, 53520018], [6367524, 33140682], [9176146, 46982035], [33839166, 97502674], [71541274, 46506522], [83636747, 17157534], [11315385, 33907768], [6899386, 87529329], [36336409, 82181109], [12918611, 16924634], [55031322, 80986461], [53381249, 84478771], [64374522, 62244228], [96260358, 47477245], [2537566, 24755410], [6182711, 58924739], [19798672, 78541833], [8328557, 43301105], [1318761, 96920252], [7314778, 35014453], [85502201, 50371221], [88093546, 99353615], [53175336, 97059210], [9607967, 38926807], [54570429, 15224089], [99275165, 95030189], [76788013, 7696561], [80924225, 79063317], [49225578, 76708269], [77836911, 225670], [80547035, 20877573], [16796808, 49417110], [29913687, 15378137], [68165447, 6476183], [82538125, 18427705], [18416518, 77604907], [31356303, 4263719], [68259111, 83520521], [94538585, 76219362], [32657887, 25512157], [30207114, 93461437], [26300580, 19617838], [15025116, 668892], [9621901, 71507778], [22989041, 72485051], [49876918, 98080998], [75491341, 18178433], [37726228, 70632154], [89015474, 3631066], [61314802, 40281481], [91118156, 74582459], [57984994, 38692047], [61265305, 78382808], [72657445, 40229809], [33146360, 71671237], [77498738, 47672380], [68997345, 40368806], [93422449, 80583645], [48616241, 94520037], [97188773, 25142403], [40103929, 72186237], [49983517, 21506891], [37204412, 43120071], [5903339, 60074987], [8966714, 58313372], [66887159, 63968731], [11214522, 15431731], [38730817, 39666157], [2279205, 82370389], [33143378, 11677692], [49909740, 89810101], [27679119, 53748012], [46815288, 7912216], [38227607, 20176934], [44227589, 5984697], [4095572, 50846601], [25012392, 94580078], [91530565, 42780034], [70836767, 97389630], [41540099, 60380599], [38899271, 30311907], [77375063, 34351138], [20763103, 58802510], [41719534, 70890230], [6423062, 94746617], [21932398, 6305474], [96680255, 27125575], [82589766, 15770331], [65239137, 96577724], [9102685, 82277625], [80721775, 26680805], [85185838, 6300383], [86659519, 13113281], [88039517, 20744540], [86895700, 14763816], [48504692, 97651907], [30369587, 78240988], [20363095, 88820750], [65940149, 88257470], [99538704, 19324215], [28328901, 35706527], [70994302, 91517104], [64050738, 3399987], [85478331, 14672026], [79635680, 39794401], [16480636, 95667596], [20324478, 19850517], [7619859, 35252322], [93332122, 67830755], [36231476, 23755231], [13048245, 58462611], [24442857, 18488388], [88244818, 9932040], [4512102, 51768482], [78587780, 50913612], [90998593, 89630788], [78353860, 801880], [64465002, 64706635], [1226995, 25639860], [3396074, 18324802], [19076435, 48674858], [28530145, 74566758], [97573385, 66278321], [94429624, 91586218], [63327198, 82019677], [54233785, 8696160], [26196949, 70801219], [70605102, 33873636], [50316816, 63542859], [16867746, 29359406], [45983123, 86222173], [93731421, 42684139], [47056180, 47987829], [20816281, 86347878], [47943170, 35643885], [11213467, 6287821], [6158407, 21380330], [49991588, 81911107], [43944966, 28859048], [95433797, 57405592], [69880171, 26536810], [57450046, 80859345], [42510693, 63643479], [23205183, 28004661], [58212447, 72545252], [29887446, 90559908], [2261804, 44278998], [595362, 85843666], [84477794, 35316256], [17224794, 3886587], [83248153, 64035808], [84190738, 38635883], [30718554, 87224292], [84412370, 79742730], [22958277, 379590], [81689510, 96446080], [45445471, 83046672], [46543430, 83726626], [46958530, 30716043], [73981947, 53216598], [95584764, 83416120], [58540520, 35766726], [83111121, 77867913], [83193395, 78577741], [30349476, 53405529], [70082919, 11442403], [95331308, 7165039], [66725022, 59048595], [59710253, 58736224], [95544603, 12120069], [18937481, 77766935], [27572083, 51844941], [93906584, 48336672], [93482805, 45843496], [72937302, 46845476], [57817966, 76370377], [17078386, 98106376], [54954551, 3742966], [47084213, 99872292], [86517185, 48969717], [9375122, 51284846], [26519644, 4500050], [67469620, 21380617], [88183159, 7154606], [35328878, 48041768], [31004165, 54472459], [17007822, 83272114], [65334210, 47241764], [75556582, 71941326], [4661923, 80041547], [51346986, 24964236], [95281766, 92413866], [62623548, 26953563], [15247271, 48590526], [53683197, 6147511], [41175150, 43684709], [53184915, 21351569], [54897075, 69503325], [28458385, 54542820], [93428674, 76622740], [86634202, 89225013], [98935328, 81657267], [1978520, 87072799], [56280868, 38586307], [79195425, 23582257], [17882917, 39688981], [2779509, 17548808], [72384078, 92348426], [78854872, 88311153], [75588873, 98772529], [24966572, 88674441], [92317606, 94197178], [33359253, 83351826], [9598968, 88746874], [96511562, 61586026], [73464027, 57772250], [84013960, 66641412], [51153388, 18009789], [33364848, 54873263], [67128315, 62131383], [13437309, 1976781], [12216783, 1308130], [93424162, 96257911], [75043639, 70115043], [33970511, 53942731], [77768714, 90018718], [45159260, 17820114], [80672996, 83205505], [16000221, 96626151], [86840331, 21182887], [12842120, 17886070], [98015578, 94881035], [28700308, 13275815], [89027630, 56004029], [36658555, 25312007], [80189632, 37740873], [96264432, 46582904], [45124404, 40240014], [80149909, 97159504], [97735232, 7993649], [60146539, 45480102], [76727225, 30192114], [29948454, 25702636], [44640187, 64091896], [61641235, 96697256], [25842506, 94017420], [93821443, 56151024], [73994446, 19802090], [39831765, 14233954], [96962140, 88325184], [9962138, 23930975], [65174605, 11948040], [94932814, 28602940], [25664366, 33782741], [87776134, 85850481], [38869453, 69711781], [94669497, 11777697], [97488696, 76806755], [23959401, 1587537], [4799723, 50859041], [71164872, 7793024], [57155114, 90489903], [68778072, 61521416], [58733517, 76498914], [81729456, 98272897], [64853035, 57425017], [10528728, 96255593], [17341795, 8912200], [3179843, 41252139], [30185167, 15285892], [47183180, 85649819], [94167485, 41232115], [19181316, 97574463], [37994224, 45757458], [46672954, 82949155], [57227360, 74157322], [2284259, 71500668], [85204628, 40718906], [27552910, 18890126], [94884305, 40999596], [62934259, 41283689], [89670270, 7326593], [12186825, 10173306], [27266151, 12026932], [68394922, 72955763], [62020644, 21593177], [17958191, 56661025], [25151669, 97270423], [44693119, 28596509], [74658473, 11105245], [78547057, 32466503], [98776080, 8280580], [33372594, 30876871], [94306580, 19668806], [27777156, 51028140], [13931193, 68653988], [39441598, 45090905], [26796560, 67142669], [98242389, 12070705], [94086785, 62958563], [66081267, 63459397], [6188172, 39181905], [74679703, 93612409], [66295009, 63443710], [84622526, 35279363], [31808966, 85825329], [15737991, 8531785], [57872219, 7263063], [33249401, 96333073], [43884519, 47598677], [90416772, 26039108], [45758718, 32153998], [22125039, 44675001], [92337257, 67732795], [3115821, 7397472], [62580879, 61226870], [68072641, 27036171], [82825288, 61600313], [70723819, 52310794], [96870464, 54295062], [62372717, 57823137], [17676964, 34739519], [18075653, 89879387], [53019642, 61712559], [28123632, 41879267], [71287895, 97266614], [84328644, 57556950], [23129098, 86543945], [51452972, 22627884], [53711904, 48404733], [38593012, 58602353], [67381885, 14813029], [66662492, 71143870], [3097709, 91063498], [85561199, 94892774], [65574892, 39753727], [63685921, 94394365], [78344037, 90336115], [98953252, 80160436], [59028946, 51986229], [42731839, 29686269], [48519013, 58374585], [93022014, 12238191], [35363495, 20475418], [67423820, 24500590], [96587132, 46214392], [58219298, 11130983], [53039405, 19173554], [53279426, 79521999], [49443051, 8858284], [43501328, 79348822], [31998159, 98870889], [35637940, 79245711], [24416287, 66049428], [49622814, 21613924], [30534525, 44437769], [20034771, 5213140], [37280922, 43498711], [38954023, 35141710], [60856373, 72829645], [23632523, 18774947], [13287159, 85687155], [43542254, 23602627], [19274808, 70845730], [87406245, 79349680], [77892829, 11399452], [55319386, 18726190], [86298787, 18734178], [78297888, 29992370], [62152798, 42291544], [78025875, 45297106], [42888307, 23326922], [95584593, 4444147], [98458973, 43056348], [70075509, 15520549], [46488850, 39403683], [88996772, 96909576], [64120278, 96276378], [10527858, 33199546], [77175532, 25312968], [77723445, 88636435], [26956881, 37533611], [66799764, 95290761], [16049136, 50100245], [55675845, 33119655], [94945818, 99373198], [30646406, 70061609], [69814039, 28254435], [48583188, 39429810], [40250046, 29805583], [97051185, 78899624], [30355934, 89798177], [82890492, 66110667], [58101414, 77632456], [5241188, 48166965], [22817318, 7009812], [90611760, 25522921], [50756416, 22243450], [11335474, 79805409], [31842431, 3330914], [83843088, 74245672], [52402481, 2270996], [77188373, 93712209], [15330109, 25688754], [23416429, 75403659], [20788215, 94229218], [40997420, 15119862], [94279026, 76292779], [93865018, 70131768], [74329111, 56239739], [52260335, 30780718], [28597134, 71282647], [17724520, 87861985], [13349463, 73657473], [47472783, 33978874], [90750093, 11996329], [87661939, 85663854], [37553032, 55765527], [92723702, 11106473], [88424170, 77856582], [7561575, 53724992], [68791955, 7593489], [60820054, 82931913], [67631209, 61066118], [25997573, 55423770], [28209386, 17264638], [33335335, 22721977], [69025667, 76482675], [1261989, 54839001], [61781516, 73435806], [23674933, 64755667], [10841255, 13797517], [49472411, 9167557], [36314893, 44864404], [21075638, 1714552], [35368369, 56432707], [89185443, 20805064], [31548355, 56372304], [38768657, 36401347], [7875346, 46960647], [8745809, 51128285], [35350289, 14379911], [93601932, 42420663], [52506470, 61542861], [75212647, 68973921], [46056744, 73744761], [78808489, 43803775], [46857102, 17594371], [86234542, 8821789], [56312856, 60698697], [19860954, 17610046], [13751944, 8754725], [12183574, 93713229], [56824518, 8578400], [42426035, 63411206], [6018162, 85200342], [90884180, 46185975], [71245472, 42260542], [66375489, 95965551], [43113215, 57196522], [68404080, 25147070], [20909001, 51484340], [20653864, 6873317], [19709584, 66568343], [47605838, 18517975], [98187234, 44942973], [46989838, 73428807], [75328497, 63484943], [24317153, 37498013], [64632413, 58172857], [43971110, 75093395], [74062996, 43498178], [5991621, 54133522], [63658491, 55823106], [97665755, 165146], [77945649, 65246766], [91429855, 13353591], [52837, 34283527], [20066376, 87856621], [73372342, 51672243], [30765805, 20068558], [40053864, 82729101], [63097357, 68740948], [47098411, 67100109], [31280132, 56538823], [76413255, 75671740], [82249687, 58243182], [87942752, 28401950], [45016037, 22480236], [28069437, 53125944], [28268408, 32942434], [76284778, 43529535], [66428980, 30909416], [21733068, 42457208], [57847135, 81528465], [6097893, 48212564], [38426805, 83248174], [28022606, 48763512], [5167683, 68882945], [29328109, 9392247], [94484624, 40184998], [34731336, 40464805], [34490527, 90011280], [58238380, 35858324], [52980616, 63006160], [77053956, 82699166], [51382063, 5593697], [13846170, 11741339], [91403675, 64211347], [93253739, 98031123], [73308118, 89943537], [94194175, 77930036], [60364801, 7847354], [90041372, 41913366], [50275641, 70023383], [61998968, 9276243], [83090275, 36418881], [64379705, 39699265], [45967258, 48981663], [13199208, 79828692], [29081877, 4388983], [73225931, 27797724], [66087684, 11607083], [74196917, 18203648], [6734802, 4734674], [4112013, 60484840], [18394739, 2182958], [42469219, 70856258], [5725463, 53078583], [6799830, 3219940], [32843469, 29948371], [31155509, 64412183], [1944896, 99011125], [27785265, 33728262], [33343566, 32502849], [15405047, 63525141], [61888094, 34776019], [7321640, 93951785], [43081524, 63132260], [69064792, 75244020], [64765575, 96138628], [82264644, 44491705], [96081597, 60371526], [92449202, 99149653], [54110883, 61450775], [78881426, 48455555], [16289406, 514238], [30660750, 71097950], [3697802, 9027190], [50564573, 22749376], [14754548, 99377081], [57933657, 21352177], [83921495, 76599044], [6528231, 95575459], [33272058, 84783583], [91381474, 90521663], [56030874, 55202685], [66218301, 96495749], [14002215, 85505202], [90229780, 16239593], [84084202, 36060432], [61781353, 36978751], [18235628, 44282345], [38480819, 58484543], [75588269, 54599970], [28479209, 52393671], [6518171, 21827248], [93212218, 71782770], [27498317, 70596092], [63943118, 87686719], [96730450, 43536714], [21601725, 74282702], [44308060, 65750757], [69023936, 12104876], [17520139, 38816707], [66052618, 49228901], [66298427, 35962654], [2931363, 41516432], [85349897, 77157680], [27171487, 66314322], [58057360, 66586716], [40679887, 72599498], [19574960, 46381166], [16863301, 65530008], [2760860, 39761731], [75218931, 86370496], [56565815, 17043978], [21548355, 96560489], [57524515, 35547682], [25340376, 95061250], [7770927, 1007966], [91335246, 65604299], [71130348, 95341267], [77962851, 29883856], [48481145, 96573871], [36781875, 1364350], [77892591, 71984737], [9171147, 98976096], [13238421, 40458097], [57872224, 61761841], [10431748, 20259373], [95552326, 532437], [38015865, 25678598], [54536675, 33967340], [80147426, 29451481], [67660038, 43919477], [17745591, 69470226], [8098760, 90232093], [70445365, 21809717], [18688209, 39811509], [57829071, 52096868], [50449328, 46256167], [46735387, 38633698], [50228272, 36317734], [26363488, 43054413], [82808265, 6448311], [53703772, 32813982], [85065513, 73719910], [22223572, 34614717], [36320463, 25418531], [17515596, 99582754], [44947089, 29369294], [61095764, 96774236], [52317696, 6970138], [86224594, 83469224], [4053907, 34914809], [59767586, 13462763], [92270227, 1494875], [31026641, 27944852], [77090554, 41207500], [2759559, 31990832], [68098719, 92747683], [36162248, 47392635], [83887498, 86694480], [92035576, 21367533], [24511386, 7501871], [92544838, 38219390], [4630797, 71845497], [81443121, 88502086], [97518204, 64770134], [47731824, 18986718], [79973781, 99730342], [29597298, 25942351], [51828845, 10893393], [47693030, 62448340], [2394235, 55547708], [5970671, 40576052], [9419317, 59305132], [84156094, 38044669], [1336466, 75801503], [67677128, 55600380], [56531950, 50343930], [93634152, 55658317], [86152368, 73493709], [34479226, 74706393], [71592554, 79493141], [83675322, 718285], [31112407, 74335189], [79314086, 16299757], [5892308, 13152119], [54216640, 56552894], [88481636, 54387462], [56888461, 18148320], [63365009, 57765361], [57899328, 89257058], [46797645, 32863948], [79033444, 11830903], [86157295, 16796241], [95393986, 8251710], [72495950, 16659192], [98388624, 89993260], [71349855, 70765088], [50901507, 46432320], [67595430, 79575194], [84505194, 51265415], [28061609, 35127397], [17286614, 24395565], [8546006, 70100512], [88331407, 81985739], [82165767, 58415150], [89709520, 96577761], [75236546, 18068698], [22821611, 808491], [30900717, 43601638], [65864073, 54533805], [33776047, 11414659], [14600682, 53721831], [52474304, 47629038], [53629736, 2344263], [3281881, 98727391], [12870967, 11067614], [33349171, 13568354], [75781380, 24053484], [8838865, 78445439], [93371457, 42049029], [60173641, 80397362], [45688816, 76643612], [49024045, 73907537], [20008351, 22518206], [75743164, 35412682], [44393789, 33394210], [46147642, 69767084], [17254375, 87576339], [22580929, 33123082], [99455233, 97858593], [99991910, 55932201], [29114110, 72944024], [9695654, 73736503], [65057381, 92743018], [99792417, 92930101], [17278617, 44638222], [56779971, 36553076], [2893795, 73516798], [64618562, 8039264], [38344545, 10615329], [2998081, 35770736], [72227338, 65367227], [79949947, 65334515], [81750611, 91744383], [39005156, 55989049], [29006707, 27042045], [29049741, 57037011], [19962235, 4834206], [78054550, 14947105], [31337901, 46754310], [47812780, 10293354], [31185995, 25664311], [10621069, 91225419], [65224708, 13664097], [10445081, 6847012], [92111119, 6911476], [49441521, 53401595], [83352191, 21167189], [35393779, 43601511], [93099079, 10056654], [24266621, 25518524], [5856061, 19749122], [42294194, 90508078], [69465922, 22828305], [84944284, 31391845], [87748488, 10721305], [88910192, 79124328], [44395065, 26735964], [3800956, 7357717], [11444222, 75418849], [9214046, 50480727], [5019985, 18629923], [11563300, 59951386], [38510409, 38661357], [58988302, 7587022], [72730286, 5141544], [41769030, 75588896], [88417425, 49931632], [85885027, 16522916], [68101260, 52033791], [26672636, 23453413], [66261655, 14079033], [67986806, 2352114], [10411159, 10386378], [19790997, 39312431], [57247899, 18025672], [14652909, 47378424], [6719419, 30007531], [76410678, 36606778], [46017265, 92607340], [9180870, 84832123], [13683370, 69953060], [84132210, 51862383], [5086633, 46147159], [78896454, 56713637], [19801491, 77327811], [99505009, 17433458], [31818269, 20422524], [15929231, 25304290], [18632378, 55699661], [36524068, 17946226], [29033929, 62526723], [10684382, 29884926], [44074419, 24611102], [67006580, 45407505], [94869467, 85523940], [41788563, 64677262], [80821889, 69946579], [51580266, 96542612], [61027259, 93092421], [7117878, 58721029], [62693045, 13609800], [37574298, 41360846], [37576102, 30439184], [69309206, 65094760], [59468729, 16904945], [79222577, 76701099], [42450104, 10878025], [65355351, 69322531], [96510893, 30659679], [26825123, 67255782], [64658271, 27069069], [43295131, 43322784], [40475532, 27176197], [9451636, 23375565], [17003586, 21207602], [94261826, 24183598], [34351453, 46927196], [99550940, 97554783], [398865, 86449331], [43939490, 9748779], [46425607, 67806417], [92963707, 96034680], [67520632, 67495979], [26740268, 3729148], [50162389, 30379325], [6035773, 21981272], [40591446, 69476688], [95852038, 70531], [68621801, 94870270], [40898273, 40983280], [70763407, 49044665], [4594958, 44075509], [66330340, 25090305], [67032482, 96216226], [63157219, 79770375], [65611146, 65306941], [24890307, 18575537], [4012432, 51991430], [35668302, 36912352], [41029574, 74432523], [82602155, 69099785], [18304524, 66006932], [1490166, 89356473], [47848658, 12670253], [7802697, 28976869], [3549552, 21569579], [56031341, 92103014], [72952953, 44722005], [76966388, 91990020], [29699176, 38665501], [44088540, 80582685], [90887151, 80316663], [59490348, 73627818], [92174100, 94798287], [53824589, 27160392], [55383427, 53499577], [57595790, 51835169], [21577074, 10092794], [21153924, 75400797], [55962911, 54980792], [66778524, 97476509], [29365580, 75544658], [23100020, 88476588], [85768321, 99414985], [29568159, 43208428], [95705712, 46939003], [44810666, 15572746], [34249394, 63793123], [72982836, 9800148], [11513912, 1285794], [24845032, 73713157], [78377755, 94348363], [68823600, 8701433], [68081435, 62282229], [14437807, 23805106], [75089084, 9406214], [41586524, 57068803], [45574640, 95013152], [45215070, 61808385], [19415254, 80374112], [26285756, 64612565], [45387264, 96923727], [90209307, 46304825], [1773613, 84639534], [39258865, 8847666], [79070464, 908988], [47200388, 30773267], [84936189, 44010675], [87512957, 63751254], [21014261, 30938657], [83719367, 24325756], [3544234, 75922210], [59329435, 78285687], [23161823, 32134731], [69510402, 8679350], [78591136, 80295176], [59272142, 68100124], [4055203, 5676350], [39255713, 94245792], [51718749, 59205693], [55345898, 10669560], [1336682, 39625568], [13826017, 9420262], [29285126, 13411555], [87288242, 2611670], [29205981, 47606658], [44114900, 48444431], [47532100, 6601215], [21625744, 62998746], [78187169, 79021172], [19217544, 93477525], [28545799, 1326024], [72148189, 42852928], [56477118, 71483458], [70251734, 4108235], [57773265, 13358669], [29286205, 82914890], [27709564, 53300667], [51159944, 79260256], [9356894, 15102079], [59308110, 28346729], [24956515, 87535206], [36637554, 26999502], [15841207, 89188124], [82118116, 92968580], [79410152, 28919625], [54121281, 89942068], [71088798, 23524805], [84036830, 19235185], [78250269, 52637230], [76493613, 4401139], [60881598, 64403377], [28431608, 38966883], [7043887, 27186894], [20378178, 71894435], [55679210, 13009280], [72504470, 48375483], [24585209, 69764957], [26562699, 43459806], [68421088, 86631676], [95970479, 5074587], [55389077, 50119862], [76361015, 44031898], [36847244, 15210435], [48880640, 8207186], [16075803, 95181984], [65217054, 38441969], [5700627, 70922743], [89276863, 32743650], [7202183, 82810431], [9776610, 20363955], [11412034, 16436601], [9912745, 80466468], [75506054, 90955059], [4382275, 19921416], [62978585, 13937620], [61817752, 87349026], [56981809, 26691322], [52910318, 88312604], [7589215, 12374459], [81058871, 9158860], [95164503, 92121425], [49388445, 219665], [53608879, 45720752], [34513524, 24643220], [83517266, 63011908], [18575808, 8846002], [20026822, 76967320], [54571378, 62451856], [63129741, 77927973], [68756, 44432355], [53699112, 65875545], [57745763, 75282106], [30253639, 13866460], [95069697, 72054683], [38222553, 6729561], [10064273, 27092339], [99932305, 5371211], [32459517, 43078695], [54781838, 68378071], [9507097, 36017672], [25919348, 61978885], [20383410, 40731768], [60060973, 4979250], [41490550, 58725498], [40662451, 67260716], [8791388, 69512037], [6086773, 90328049], [97197929, 12903239], [19520623, 76235309], [60828309, 80030401], [53083683, 68335671], [69905726, 34120941], [80955985, 87734329], [16609586, 11958321], [3294464, 25478484], [9121124, 89752201], [19610286, 26469876], [85012707, 37832028], [20215035, 61011053], [59718732, 39201598], [92896142, 24406421], [59396828, 81479217], [89932484, 40059747], [70208920, 78372631], [76917981, 82125559], [16212481, 72752680], [45708508, 96689319], [84596814, 8616402], [75550515, 20534624], [63896222, 9739973], [34659307, 81522986], [13317440, 9968], [91336049, 90474254], [45078026, 24265628], [3736347, 43541072], [35271182, 93444343], [60679409, 67196497], [73865645, 68902996], [4832581, 74741774], [16893493, 34351157], [46326262, 66343948], [32661973, 32257694], [66051892, 78997294], [54641261, 89366946], [78856480, 52827855], [61555084, 75089772], [12299844, 65542267], [94305780, 44469859], [8421318, 50660555], [61393013, 38766417], [10837867, 73196426], [64620376, 5605740], [82155737, 88545984], [58234593, 5006275], [49773426, 59074802], [48525151, 30341446], [44113853, 15306846], [7767357, 64327661], [34862534, 31099272], [13086681, 55856031], [14905870, 90781922], [27108443, 89618518], [70151884, 53917267], [38807695, 34764965], [58466763, 91830319], [5434886, 33875077], [72149050, 29754379], [37696258, 20819832], [76363658, 71372397], [93397285, 16957519], [14084925, 67958594], [11200351, 749817], [19332780, 92249134], [95952889, 38268451], [70724570, 72881492], [82337152, 4756130], [48238733, 5376344], [46321129, 47076870], [74764553, 12706800], [50033111, 43634988], [47212302, 33863357], [89294680, 89017572], [33944665, 95537047], [99253459, 21661679], [86657200, 82877895], [75212516, 41979289], [26244481, 97343207], [48672542, 25079894], [23564232, 56546345], [44339702, 24290387], [55668184, 37685168], [51676477, 42583332], [89238723, 92488435], [6018936, 9859574], [93474751, 36266400], [57582064, 10535331], [90234838, 3615123], [84423953, 6642854], [68270993, 87549783], [15081026, 2037462], [51760215, 80849439], [1440705, 84631657], [6804002, 71493919], [69634244, 11651517], [87332870, 39186146], [88924370, 16156562], [39014653, 94022445], [41914997, 43689497], [82226394, 53599445], [85206551, 62148572], [54150980, 5532760], [6580521, 74944316], [72525777, 71869205], [57095243, 86826503], [54818820, 28582339], [81139329, 76280942], [26385164, 9934751], [7637074, 12249450], [99842406, 15841804], [36756340, 66748460], [21787028, 29086974], [11904824, 16456457], [58198357, 19014808], [29852719, 3820920], [81720744, 93045193], [42528022, 15411709], [14841255, 26506751], [96796340, 48105972], [21378508, 79994895], [91324935, 9259322], [41988754, 91627430], [28224029, 39428627], [64059638, 11644036], [50104758, 349582], [33203030, 44575081], [48712425, 58255019], [1791002, 13528825], [49216997, 70812532], [1337558, 40086382], [25727177, 2783284], [46142767, 48700552], [50009236, 15720039], [10211575, 62403985], [46800049, 78749126], [50200403, 87097806], [244720, 35313389], [31237884, 69318111], [79138599, 47602166], [26266181, 48217292], [77680595, 17263749], [25222475, 32259937], [15145407, 64700239], [33551344, 40626046], [61410994, 10632888], [96244339, 82026744], [32352212, 14131868], [90884559, 32544421], [84248519, 78891628], [86601812, 51290755], [63341211, 45743093], [5427136, 15553493], [72055145, 28546188], [88188252, 38014633], [70316511, 55131], [65942904, 88272307], [75997536, 31423134], [74912228, 47176228], [92340795, 50071241], [66531278, 51719199], [73426929, 35437520], [30388561, 33882687], [45345567, 19754833], [65631188, 38418929], [4623424, 73660349], [30792022, 27581804], [57273113, 91494241], [57710627, 63835923], [46121539, 83161352], [91311141, 60765514], [98839241, 98756697], [65899344, 39840824], [23439560, 5793714], [11330278, 45026543], [21551798, 63685054], [77692973, 75190829], [23991836, 15644272], [19845269, 31863657], [86491196, 35665802], [34691240, 64281099], [4162765, 76416281], [82982747, 9428272], [28223111, 53124315], [59743531, 98043374], [67302552, 73579365], [19998941, 66776498], [1435303, 84603915], [78420001, 6218335], [5817772, 5278570], [37850162, 2552643], [22287393, 21370423], [57333777, 30013407], [65051197, 26946656], [44779179, 14466926], [93064783, 38966998], [19455560, 33036944], [87198865, 17871668], [49430034, 39400720], [33199634, 43598801], [94131871, 92925263], [38431229, 25938675], [26572277, 46765589], [66941203, 54248452], [64716363, 39386259], [70496169, 188234], [68865083, 98408118], [68733199, 25356439], [97562051, 94971322], [80629031, 60180408], [64904691, 44188632], [89816597, 44861200], [69433217, 57731617], [19505499, 16656714], [5557597, 91517318], [56194773, 81250562], [76318636, 25689072], [755863, 25286253], [31680608, 46063689], [25154649, 86000021], [90059655, 93446458], [81196291, 3065856], [1615808, 89437694], [90971297, 65207753], [89880223, 93612250], [51616389, 98809387], [18101323, 23409739], [82944318, 83247602], [4938164, 97123960], [60053842, 44968364], [89665071, 29416323], [6101680, 2706711], [37027712, 94650733], [47104186, 48367121], [41533933, 37749443], [11762201, 36394413], [7358461, 26442549], [37126190, 31340105], [27971706, 51043415], [8329249, 1845584], [2925474, 68131010], [94674556, 16791968], [35038712, 76214257], [87213462, 60672609], [83536596, 37668471], [62856336, 33959968], [81895018, 2158809], [13005023, 25796], [35444344, 74131392], [98653402, 79766865], [48955051, 60608667], [30498499, 65781243], [57771574, 66621417], [13000909, 97557783], [4726366, 58473201], [64062439, 90708870], [18114364, 60397430], [39397857, 95450332], [20315585, 42192416], [33728856, 12367790], [38136748, 60671321], [75320670, 67564631], [96124407, 7077488], [19913378, 16224855], [14355104, 97330695], [38513766, 48852445], [78265092, 60514184], [59035980, 6315514], [63930441, 60147543], [84817574, 96911509], [9330005, 30532303], [91327723, 83889202], [12828573, 19529470], [42731902, 49212739], [45278016, 2926480], [79376391, 34006244], [66842011, 99971555], [45325679, 34972246], [4241324, 42208397], [6071149, 12716703], [28805888, 12722853], [65927693, 61364979], [68277789, 30341105], [75684474, 41400246], [67086286, 55308930], [93369095, 81746441], [30250247, 80458315], [45939776, 94970673], [150053, 53111083], [81350349, 19810638], [92404601, 67087289], [93823791, 79852152], [41725231, 8876672], [25500108, 98323585], [48779536, 66187058], [80664950, 88000736], [1307584, 34974748], [45412191, 69951484], [73111710, 86135748], [75863631, 87642781], [27814618, 96135101], [1059013, 19751726], [30827569, 7713092], [84601384, 4339286], [18940548, 99160453], [94248674, 20004651], [56823648, 51781316], [2266360, 15294732], [48288307, 14608732], [47361205, 65938318], [6782950, 37142749], [33065503, 58420642], [92882070, 78242952], [69963787, 51974590], [22258494, 63971688], [83126276, 39256727], [29261268, 51597968], [12995598, 81990285], [35482220, 57280763], [26555244, 28892155], [91183326, 46651767], [1041282, 51520034], [36623247, 26059526], [56845416, 25156530], [10764250, 56905912], [62492868, 60927054], [77900524, 13503986], [22424953, 41681508], [26802242, 78794828], [3968149, 34652202], [50554552, 51558623], [83763512, 79386957], [71370359, 72359201], [29431053, 26395794], [95449696, 19744583], [58486962, 86738427], [16409178, 80169574], [46500434, 3964662], [37728200, 36059648], [85165104, 16968855], [59160700, 44838428], [69020738, 36908308], [22850380, 64514567], [25011942, 9901698], [82526395, 97646466], [36099524, 45238901], [8770657, 46695859], [5317282, 32046026], [71569150, 2962217], [12380650, 97977149], [62502872, 88512569], [52896765, 69891642], [55805899, 61882376], [23725200, 59159575], [79574201, 10012238], [70971101, 52246625], [80830614, 2389084], [88747593, 84243114], [52955757, 1772326], [31869276, 46537731], [21580099, 25629361], [77448581, 58706223], [80464308, 38708338], [97104301, 55576598], [67710888, 15605960], [9118666, 94691979], [17980097, 46151975], [76130828, 31636853], [56556074, 8841229], [26294362, 53550462], [78811955, 15890547], [76926510, 9016828], [84088848, 54048367], [80321685, 7181073], [48172562, 80299078], [38015221, 40423704], [4970643, 3127894], [36479430, 5416017], [2971239, 66384492], [86286568, 68131141], [66948047, 84505658], [80618050, 31570257], [24737064, 62815832], [99729551, 35186171], [39596594, 277723], [55881948, 2036461], [4350093, 68491219], [81005756, 1443186], [62928765, 37960451], [70295007, 18643180], [29940702, 28272318], [12315525, 64687129], [10823770, 29981823], [34945028, 93570353], [50284154, 60573611], [48577085, 59348415], [86443173, 73060836], [96925536, 63006414], [28653043, 19180030], [98971494, 84177142], [26486572, 70111788], [52764, 79958048], [1853520, 14325385], [2869607, 2308824], [10319621, 80653797], [36741563, 12618307], [53456088, 93317007], [52906045, 35128097], [23047684, 19947895], [17094077, 75341005], [86791177, 13798246], [93360431, 83209639], [75973053, 280010], [51989512, 22949262], [12382327, 35174817], [96702394, 66789379], [8978802, 89600843], [35814723, 73939089], [55015409, 18054815], [78508565, 39776634], [48377048, 79153330], [1283724, 69290687], [91502893, 69118692], [66517302, 41011317], [88713588, 89569801], [53227714, 92828919], [86824394, 93576292], [7495407, 80755496], [56711607, 3216489], [15365248, 82467844], [59485804, 85981326], [38850176, 62670927], [79162409, 8940687], [49592936, 28322850], [17561003, 91043418], [88390914, 69594835], [33904696, 32250095], [34542179, 32534089], [86170232, 53903529], [54418755, 45737023], [57942641, 26499212], [16267575, 26122780], [67519235, 51041380], [75422946, 79184175], [99073959, 40055294], [30437716, 6442655], [33660603, 16921888], [96794164, 351847], [45911020, 59559022], [49834871, 95344813], [64237529, 40594617], [3598512, 80992473], [63348525, 73419352], [6573749, 98542494], [62530400, 84922034], [23640360, 68358909], [56652312, 37181628], [37585216, 68987746], [24401780, 78228714], [62431213, 90044855], [22453427, 85745066], [47843094, 81894405], [85884458, 84471124], [30801701, 58890940], [98914536, 54744221], [83169473, 72725876], [75802219, 97858921], [3920400, 34369767], [66832847, 80421696], [23101222, 31206118], [80846069, 14497677], [76296955, 17523449], [38575881, 1799573], [48588182, 15801792], [87079696, 81684982], [94836692, 21574248], [25983426, 46329526], [47148408, 9488312], [2854024, 91458610], [34585440, 19219550], [65340212, 85562324], [48744541, 39812365], [6790399, 77253377], [23101139, 19729510], [39263538, 11690945], [27853952, 80287546], [86045266, 78641368], [82234889, 66890736], [47078908, 37503265], [79140801, 34168769], [20772481, 70427950], [94364593, 28559717], [87722806, 84115510], [49232476, 33840657], [90984928, 51335771], [75872726, 66285007], [69714036, 86994957], [19316469, 66374011], [36484067, 2476388], [46220200, 7233123], [17038345, 85519002], [39658835, 77191085], [39165107, 60731815], [43888829, 43285271], [21106881, 65388905], [28379544, 29818678], [91558883, 62009055], [50166337, 60883682], [87893931, 24197365], [83834196, 53385454], [97631361, 96299184], [57920948, 39728479], [25335023, 10011074], [47074060, 25382378], [45968131, 89807863], [84149763, 78924222], [34760566, 70044385], [7407541, 52096268], [13087483, 34305423], [84518346, 98347373], [41191768, 20120102], [29103269, 88818704], [29245541, 32488775], [79859457, 84692098], [6179865, 15823397], [28324125, 25298478], [88998869, 95001005], [14995201, 55846804], [81067361, 69276949], [8388555, 11124953], [97902592, 64025487], [15298226, 59428438], [99624581, 13936063], [45421830, 95605145], [811010, 76992543], [75819022, 74711513], [22786115, 14133028], [85574377, 39672570], [38396437, 6352137], [55900396, 85406323], [61083853, 82594841], [42250597, 10700840], [19524212, 68997604], [31090130, 67338814], [7843841, 96014213], [10510513, 40558426], [76255732, 86921172], [20719092, 365072], [93565468, 3261680], [3548587, 99553677], [93505538, 27849781], [77152062, 36514640], [20881231, 4323950], [88972509, 16727269], [71006588, 19639205], [35736789, 76409774], [94594848, 62469550], [83687318, 88807978], [61611777, 30485666], [33141938, 70421014], [28028435, 74767235], [9288734, 94048864], [88478054, 19910457], [55445471, 36137211], [38438214, 24331200], [15759792, 36387068], [80570893, 54369647], [19284642, 18633096], [94842300, 55425675], [976656, 67238510], [35247386, 48603762], [28187392, 84713789], [31911913, 2696082], [33490450, 89453994], [61960344, 90011267], [13707229, 30400992], [43478553, 89099802], [46047139, 86483811], [73638775, 53369670], [46750650, 99642291], [45997039, 91159764], [40326026, 47617447], [67146488, 27943870], [43357380, 68215415], [82794779, 27685602], [18913438, 41022497], [86451675, 74684677], [46743513, 79011288], [65722050, 85080587], [92225623, 93772174], [44212321, 55548895], [53147509, 36488130], [53351533, 89088650], [3164999, 39921867], [77855249, 4693935], [73807530, 34074789], [81358529, 21624310], [55526607, 19254397], [46916243, 3774420], [43846787, 11183748], [22955051, 76814739], [11062962, 54303566], [4059297, 53280704], [89523857, 97926939], [16472204, 78516351], [82715703, 20742830], [48683008, 58987200], [28546953, 81833030], [43734998, 84791900], [96274760, 49908733], [90764234, 88275856], [57206266, 22130617], [48491738, 81173722], [55374524, 75818087], [30758358, 61465037], [29084776, 37416429], [37734355, 35511180], [63916456, 1411585], [74232259, 43493071], [13074516, 45335314], [8099736, 52506490], [58174446, 75060596], [11272241, 65645397], [33710215, 78169713], [55807992, 27801040], [65840933, 81302682], [44960236, 94678188], [72358523, 44130006], [30410492, 21551064], [54201550, 47239700], [56883688, 27600087], [59723911, 32907256], [53425643, 39078757], [84416834, 23914776], [9259341, 46048824], [99916777, 83002129], [79733094, 94835328], [4996662, 90057028], [88717506, 29459995], [95767536, 28418711], [43044291, 61344211], [75959190, 92463986], [2589436, 76811401], [48974320, 35856304], [66198969, 8979818], [53702763, 52158907], [50540087, 58042839], [59322009, 12585130], [17676668, 97040206], [67411913, 26017350], [65373016, 29964185], [21734883, 56213608], [67459270, 90435175], [41535773, 42135002], [98165725, 36205730], [69006683, 36698545], [91266043, 64459257], [46704834, 78375547], [44022700, 53706010], [60498888, 23301605], [19408809, 59750929], [96964742, 16921564], [8903221, 6624943], [83136454, 43134263], [93821470, 40959406], [96698727, 97724736], [48931698, 55707776], [22182099, 1042657], [1002723, 80230374], [6806632, 49336164], [67926974, 12462493], [26903154, 78036330], [11959395, 26130920], [57547514, 92526393], [68802552, 82375284], [98970097, 48257586], [34466637, 89284213], [14728349, 55450808], [9356436, 69458719], [53523003, 26940700], [81672316, 67521862], [88499872, 26848155], [71802240, 62278499], [40930566, 57281981], [91685281, 46591006], [55353829, 90537557], [81206031, 85709539], [80752167, 92417554], [57042820, 45667150], [62757244, 59284495], [13953635, 43265927], [42466804, 53231260], [44786116, 34199076], [61751071, 75589341], [65516156, 34081925], [56588790, 16971022], [26126087, 15799403], [15061493, 55289314], [20435159, 65976179], [43692552, 53752700], [68557924, 69679411], [12503637, 65660904], [7471799, 62391256], [40180861, 55299991], [34365153, 83016543], [77980648, 88971131], [59789605, 88506284], [74353493, 11671743], [25261120, 58558785], [22362065, 84668563], [34239636, 33104568], [19445880, 9660769], [21614233, 37461628], [37775322, 57770913], [28063238, 45679955], [6797391, 77193828], [42131181, 93277327], [24919891, 24417074], [73653968, 92094755], [52039159, 40619980], [67158491, 70606894], [41320453, 41853201], [31613658, 26414491], [28533080, 69272695], [39008587, 19636555], [992963, 15821075], [95710778, 24165071], [96632313, 60453911], [27175495, 27131257], [58097666, 64553393], [11520865, 62138172], [8012440, 82822851], [38179243, 43036996], [71691420, 8925087], [14477262, 46346870], [50022321, 85708385], [61370829, 7427487], [33281996, 53799658], [13335466, 82556893], [68689092, 32908371], [80779017, 63768790], [15784784, 82157909], [15403526, 69875050], [15961221, 59372779], [33412044, 6094095], [53658479, 15517292], [25225569, 79957121], [88616054, 13675507], [97528752, 20999364], [63371641, 70048549], [63366367, 83506615], [78565546, 28136750], [67645312, 64664114], [8118018, 99102714], [39851904, 96430660], [76065939, 52910308], [38552728, 82703768], [64982088, 69939798], [86930950, 57538398], [65020771, 55993408], [52058869, 75793940], [83986450, 49057114], [58125484, 44631086], [4813754, 86080825], [31319284, 10758218], [77689292, 54044643], [17317027, 37790026], [5557570, 97549728], [20790232, 73731440], [18846615, 95293604], [17027156, 89677173], [13451573, 61036274], [69757706, 58987015], [97545002, 86067845], [11497392, 69557227], [79395638, 96816077], [74139040, 67787687], [21966509, 42784171], [40443471, 92535917], [11267758, 1656137], [74600639, 82455126], [6868586, 36677122], [23670874, 46153274], [43453725, 18880107], [93088615, 27486809], [4976230, 91438831], [47846759, 33373834], [15449250, 72741236], [23614953, 18007328], [93987245, 69171185], [95160555, 47147611], [59741993, 19168329], [70778753, 49056567], [91007243, 53932950], [97427467, 70386486], [34399688, 8798612], [9045794, 54483140], [74343731, 63438034], [16225685, 10752985], [16683267, 89990061], [19461892, 58923294], [26242805, 76138316], [1146958, 27456390], [71542248, 64039638], [8897409, 51340417], [27522938, 72170225], [24587027, 82889115], [31609374, 37755980], [83172418, 56181815], [29769227, 8695277], [47377548, 49301538], [88939020, 69063114], [87235303, 32458497], [14325977, 69005218], [54171553, 73906845], [37687292, 52639466], [70823028, 61773324], [56702147, 7629506], [33682101, 42960324], [60290689, 4451302], [20483632, 27230405], [43241296, 74732024], [18462118, 35476242], [15275167, 2185742], [5795138, 87652115], [3133326, 32158227], [45580869, 13913112], [12890826, 37687275], [69096711, 55504050], [66687277, 3577951], [85864804, 31537736], [62975072, 5572728], [26002517, 75923500], [77753703, 53460191], [51981079, 9656064], [46394240, 11711482], [76336864, 75653630], [72572214, 47374591], [3815252, 56541892], [96415970, 19362888], [54820678, 75640884], [13459115, 44459973], [38224729, 2587006], [20503652, 37779275], [66555292, 63589357], [43292251, 80698581], [80244307, 92903284], [51196429, 40461800], [2359413, 13960579], [45449337, 56762257], [6255493, 94133940], [33318797, 60694884], [8252392, 12539563], [26158617, 83534047], [70533529, 2140033], [17752128, 1664995], [14767766, 25507113], [11265351, 34371250], [61799785, 13037243], [47113058, 97668948], [32701672, 4230658], [43807714, 45294141], [3751773, 31554327], [15791841, 19784856], [6367473, 66452224], [46654871, 64601567], [62217603, 93265188], [10912458, 98606622], [60215712, 59709124], [10904083, 53846680], [47040748, 3464379], [75125767, 13993377], [68580808, 76680104], [75385141, 13936367], [25834413, 43112621], [17697736, 22496618], [15462092, 52148847], [18859960, 36350787], [37571014, 51594289], [5647883, 10284304], [93544355, 3753970], [32349428, 60858460], [43866328, 88316235], [55205205, 91062303], [86846801, 31904531], [80712274, 72251396], [71930314, 83691972], [37871428, 40270380], [55111574, 25618978], [3694261, 75275813], [97491640, 47791347], [52329618, 69476500], [25265758, 11943986], [11909501, 93117066], [36020959, 26479853], [96971844, 3880777], [56100689, 49347718], [14066516, 70026078], [33103052, 94437869], [96486115, 34998481], [56495732, 68157726], [53170073, 58459531], [19445863, 61975277], [35948081, 84195873], [92461694, 37205707], [5673876, 97477453], [6118211, 44761591], [34291711, 80128645], [24501449, 4381802], [20868396, 30162764], [14364856, 11717224], [55876299, 87959679], [20430537, 95336475], [68341123, 44598909], [48330919, 84614576], [82928920, 47346972], [24875251, 74996531], [61506003, 40579213], [16836458, 56145179], [81824155, 86375323], [52347005, 18101081], [34623158, 94806419], [96226111, 39552172], [66156378, 14751039], [7396488, 19425965], [63530331, 44409515], [94023144, 54614876], [12436218, 2664567], [83358671, 70088169], [22037347, 32410834], [64121206, 77455899], [19572542, 92432901], [42730128, 92096254], [86980451, 34952715], [18066323, 96591501], [37871019, 61752500], [66993869, 35803552], [59032577, 28812455], [82259753, 71195274], [21143210, 73068216], [65783784, 8144140], [27805002, 10506134], [12627053, 58840345], [58853752, 23549425], [27230146, 10485710], [11079608, 76179888], [39849224, 60531400], [60667497, 95365681], [87730677, 49777619], [68373712, 11649383], [28242743, 66647696], [82826247, 22049998], [88827787, 39638749], [17876232, 66175083], [2930140, 20405441], [98651737, 98798616], [51683736, 69696903], [51886497, 48377508], [24611505, 33557339], [44424728, 63841794], [93033778, 92910864], [10851552, 75067336], [99847750, 23311317], [97236746, 83612372], [33004334, 62040747], [77691013, 68237272], [79326417, 45281156], [99977290, 44182031], [68740755, 55991057], [3042874, 45199533], [87586028, 72247935], [39392280, 87045561], [19088642, 56154688], [31144509, 46125910], [53159192, 34751466], [3407402, 6959438], [72102005, 84359483], [48958970, 99404315], [71031389, 97742578], [64220982, 70230161], [97460140, 98843099], [96423656, 58061252], [14895350, 40585347], [79505093, 42869421], [18618292, 8558059], [65649641, 15857538], [98108639, 28969365], [24661454, 31944261], [69611653, 73604002], [9214754, 5984762], [14018063, 65535869], [26029964, 70174401], [26051620, 15780814], [76419467, 35154940], [74961438, 164468], [63379552, 3476741], [40249050, 56673789], [2540286, 96761121], [71248023, 21021159], [18206060, 29245205], [55015307, 40476881], [36074656, 32343336], [47400661, 53795605], [77303710, 54225627], [29836177, 39387691], [31228362, 79106906], [71442893, 45308463], [84052230, 75535989], [81092080, 44362093], [38465710, 86642841], [7045323, 11449131], [23164476, 75193229], [98278037, 19757949], [30736881, 41352433], [80167064, 97057485], [45070754, 2692277], [52567491, 53574444], [97506320, 83517895], [46266566, 87152720], [20020440, 45718250], [37599902, 29747152], [49010419, 67432215], [92315612, 70665276], [66021332, 99962335], [86886893, 99102992], [53721156, 96486032], [67314643, 6539310], [76506285, 83586688], [26690536, 36018352], [12143559, 1926098], [83503306, 86013371], [72635498, 85137805], [24900424, 14635487], [8629839, 65153314], [22515205, 73082324], [55444536, 63694616], [43078848, 49423542], [97352068, 62682890], [32627073, 18980714], [68565968, 42645383], [39022050, 60492183], [47574983, 6915853], [53601565, 24260217], [74209268, 68946091], [74535997, 3831653], [58111829, 49967065], [63852007, 33717447], [49773981, 91513710], [31414579, 21257666], [69305965, 73064233], [6444598, 78440590], [92030378, 40547704], [90182277, 41770068], [28742897, 37246448], [610814, 23809649], [84723720, 8484919], [23567798, 66224811], [840430, 31402592], [30123588, 37199364], [66459605, 37740677], [55647515, 58530526], [24339741, 16487606], [83261554, 34133757], [76013387, 80251611], [95017307, 26469956], [25834586, 36407602], [98154296, 88820641], [88210517, 39172296], [75393794, 72991481], [38738618, 16493685], [35591725, 38940748], [48126637, 32291691], [37547881, 66304292], [54365048, 69549060], [95476644, 18583533], [86475558, 71625138], [17068088, 90366503], [71400084, 58308069], [63171409, 54160488], [48764619, 1081467], [40614374, 80257126], [36194460, 38248830], [61196744, 44220281], [6248609, 18049407], [82846770, 34333904], [24468022, 55832650], [21195498, 94165872], [2406837, 73176846], [61345184, 70438543], [85930716, 36613378], [78015047, 37481847], [14807116, 56236291], [20832046, 18111024], [64608480, 56886201], [1662041, 44412736], [8073688, 26792673], [4771260, 5052095], [12784243, 42697969], [83290978, 38126768], [10179442, 31306143], [13142156, 42372212], [54929728, 74095272], [32612876, 5705764], [14496366, 45449854], [66406933, 9196637], [90734078, 46724897], [4023328, 50324429], [20561262, 12599806], [84843088, 37447813], [82027363, 86278356], [5670116, 10272109], [98371484, 95200697], [78625457, 7391333], [81756129, 84261751], [22839158, 5180457], [2083611, 40627276], [61514676, 46323283], [91512549, 42818452], [76063733, 53257653], [95545340, 78350704], [22256040, 54615573], [44034248, 79924512], [25090241, 43143007], [6827232, 58356504], [24393264, 81938464], [55679871, 87266208], [23235071, 18571047], [1771086, 46633783], [64922456, 98713610], [14799370, 60499384], [83881002, 39890556], [39694443, 764254], [75216249, 95306570], [54146090, 2337348], [64661646, 40634654], [38151576, 84122097], [67016567, 56733686], [62503902, 85591336], [48478691, 89291676], [28066729, 52846089], [28820767, 88197594], [83195003, 97982473], [34729393, 91951187], [85926096, 75071683], [31551455, 92995515], [29890227, 57275864], [34168404, 65808631], [62448077, 65079831], [53406285, 2160150], [61010310, 90954800], [44005219, 17413867], [70553220, 18867297], [60860417, 23446656], [72891439, 81251255], [65653891, 32574025], [40730026, 41020637], [92422248, 1377011], [16130825, 54404598], [13485720, 57854381], [50202486, 95926429], [18133159, 80435571], [49620052, 77719408], [15578098, 29590530], [9381138, 70760313], [84717489, 46814326], [26645373, 90595379], [47014890, 81020832], [94408897, 9732150], [83488740, 29633809], [94899399, 7690760], [21672900, 30238712], [84644462, 14414377], [18076454, 50241954], [91066110, 13011408], [3902286, 72944987], [55546545, 75351168], [47391558, 8735821], [42853041, 68342595], [29424761, 93612740], [64464478, 71476730], [34834585, 16560849], [64733643, 33833516], [87728903, 60917373], [41379086, 35751272], [8815728, 4059983], [32531317, 56633909], [1010051, 15680553], [63872131, 46291925], [98811433, 16118817], [26836964, 70844702], [48180423, 68311881], [11235127, 51267959], [3149380, 1925542], [83406060, 43767412], [2730534, 63365659], [21058133, 70960650], [49829976, 61123423], [31589087, 69413093], [81939385, 79351039], [19865696, 84951855], [28421581, 90994287], [56723931, 59452002], [61334428, 79846649], [17106185, 90905665], [1202801, 5634539], [13509911, 4189363], [98688355, 74024823], [36938832, 33754435], [38654217, 24898413], [62064268, 97681403], [34100379, 12915989], [99007288, 65270322], [82459170, 60205162], [46904781, 10031749], [87664141, 23745880], [72870096, 27664812], [34879759, 87844126], [24802083, 75239419], [48384318, 80450369], [83073523, 53874435], [77432180, 75396534], [44141845, 92755885], [29281162, 97462382], [40250437, 4198114], [65211085, 24797209], [93793720, 98175540], [21625968, 14683513], [1024272, 17916291], [46266642, 4623898], [58108465, 29767245], [15283058, 93124867], [90271085, 30145953], [1961831, 38533925], [53760648, 6570253], [1360563, 66711225], [43058383, 18958070], [62584369, 23344407], [67294443, 79348355], [47296882, 38879877], [90674667, 45094203], [55319019, 61034415], [38370559, 90164680], [17719111, 5718793], [15964736, 87743923], [78552900, 43399747], [98846243, 94726387], [70219277, 77229851], [2229988, 82898200], [49049755, 94632340], [47170388, 97784517], [55466764, 5161769], [29596676, 62506937], [53912871, 65332660], [39597912, 72551558], [59891589, 27144964], [67161262, 12426733], [85565593, 58249982], [11158697, 15219272], [9773962, 6183617], [3897695, 83628637], [53140623, 49222775], [93122660, 20562759], [77650314, 67785399], [61639385, 6642930], [9788578, 37852056], [89743279, 30655147], [64029770, 19923312], [7730850, 96046649], [45033488, 75488412], [35402606, 16350304], [77773317, 69469952], [72964019, 25006847], [33444258, 43673354], [49026054, 24539582], [88314905, 48459202], [24712026, 70083790], [40078411, 24662495], [50949056, 3803660], [88420133, 64720168], [38387946, 11106039], [19661126, 97132680], [7310627, 31257188], [26643194, 46099554], [63074152, 9448386], [97671259, 34491631], [13117716, 66165121], [43165168, 74472490], [31531592, 51159629], [70746937, 81509273], [59288289, 7874950], [50597818, 79939126], [19308295, 21139219], [70768402, 98199002], [52387956, 20823843], [60181956, 5600081], [58672623, 97348916], [38858931, 7466155], [14193302, 20081463], [93628941, 88950082], [2228245, 44031520], [28977811, 90989069], [65537315, 18345706], [9815501, 88175129], [77356245, 67432811], [57521196, 17473797], [34939406, 61950731], [11760923, 83238613], [67717965, 91798362], [36488613, 93574116], [80128023, 97545971], [11765946, 82909533], [77205343, 16713670], [97636302, 72694697], [14679975, 29446266], [29569231, 14489806], [48979510, 62115335], [92904294, 13700937], [34083185, 96295739], [37381489, 58012262], [86236703, 97345594], [20219562, 94988747], [82243092, 96405794], [75072688, 96427920], [95974482, 67415647], [96583776, 41662836], [2129736, 8095135], [82760514, 12444433], [74168199, 58198029], [90253674, 43190514], [90885149, 22940775], [34875110, 73067225], [62529793, 47559512], [72709616, 15284561], [77832999, 42684917], [62339844, 42642633], [34040150, 88144728], [65342952, 25289673], [92165933, 52867039], [94700028, 76323074], [40764989, 31515175], [56392755, 71023403], [9912102, 42852884], [16258546, 97590396], [22184260, 44429260], [61761595, 93877801], [44280229, 48988774], [44545651, 4834857], [58993089, 36013689], [24108588, 87754764], [45922143, 25398251], [74391280, 63445656], [48836635, 19285842], [89380995, 3635083], [82652942, 13468637], [49988276, 2091217], [49420329, 58293319], [39982302, 36059322], [79503009, 99949272], [87781062, 31430296], [12679538, 65739734], [153428, 3724556], [87677758, 79496400], [50640013, 20086995], [52946926, 61676012], [52417671, 55901976], [73878506, 43966200], [97197327, 67737712], [23474701, 88818114], [92696049, 5649659], [68239556, 73060764], [16242737, 49255506], [12204261, 96735563], [8676127, 38101816], [65595689, 98062558], [36496228, 21013220], [20824944, 49012951], [96560527, 33595091], [40201436, 18625324], [42737314, 21421565], [35221336, 17092798], [47378749, 96880659], [73482299, 83395449], [29400418, 5706118], [6471799, 62209945], [33577011, 54549471], [36739124, 30495117], [93690953, 16879904], [29167774, 73092998], [9681933, 12519531], [5863020, 72351832], [31050207, 23503887], [97285893, 36164896], [8385348, 10832228], [55902589, 56372692], [76145623, 41790366], [97850248, 1962563], [10169894, 45664411], [70161585, 85807792], [97805607, 23526281], [36203571, 11988767], [3616307, 83122228], [87709008, 17533358], [71088984, 46286397], [83179111, 12244413], [52378847, 65740439], [70207264, 772522], [9873311, 5958902], [81556043, 72625119], [69287045, 54449352], [12341528, 28277608], [93664148, 17707574], [75101695, 8387461], [71218498, 62564509], [64800812, 39065440], [44456588, 19033720], [67376436, 91002347], [30436203, 15771990], [59684078, 65880746], [90873700, 88703384], [40428519, 30543208], [64424672, 40972153], [48803837, 88640320], [16419945, 42686862], [62177131, 91989315], [82736035, 165954], [31233475, 79827579], [33744759, 74362104], [7013194, 79508100], [52283773, 8231661], [18240550, 34630655], [48253022, 54414170], [31265865, 89648906], [93452524, 92868439], [91401552, 73809386], [10889507, 33851452], [12429603, 79707381], [75413365, 5907892], [81728455, 76460175], [38750307, 14682148], [41171486, 67638756], [12465492, 25644385], [99053753, 6524899], [45017339, 92760937], [2299173, 52539718], [28539142, 29468195], [35308332, 74968353], [26533606, 20417939], [67317780, 59030366], [55677942, 69965710], [62088004, 71706241], [31456199, 48077110], [96701365, 18771381], [72989258, 79927001], [21247811, 125086], [77071454, 69493857], [33704739, 27275357], [89999859, 72208147], [28093532, 30934327], [6483415, 11970658], [4756833, 17508412], [46351282, 20819663], [42614542, 17608951], [4208107, 34570183], [75403028, 34866314], [53306447, 86922101], [87061103, 50309036], [87769521, 53886374], [65236409, 3910713], [12764860, 58424599], [40702101, 60863760], [53063541, 53740448], [74176523, 58650330], [5707455, 7076065], [95553749, 67722111], [5915610, 56728265], [90721360, 4714303], [58235654, 31420690], [45410289, 10800737], [81305386, 58452166], [64551117, 42046204], [29988801, 48802984], [20051738, 64592495], [16240794, 34993306], [47239420, 23940459], [5730258, 35006338], [99469694, 86695450], [68846667, 78773637], [51481067, 97259932], [1697650, 41539611], [70881013, 44920290], [30045936, 2163500], [67080763, 26326780], [35132521, 21386550], [72552409, 26753149], [91476087, 40568557], [10656987, 95189459], [17607824, 26528242], [34787888, 63850844], [94913196, 49887936], [93541630, 17264959], [59241192, 50391656], [36474003, 80290307], [85708389, 56814487], [35425423, 85502464], [2633251, 77061897], [93991860, 27415327], [23712810, 19792991], [81765214, 44839241], [81917873, 29226994], [42158096, 92999708], [80271308, 38526315], [84825722, 35649903], [26971619, 86804038], [60946344, 98034848], [63880781, 59290810], [81509380, 22070833], [89154411, 57459140], [72642803, 65352667], [51286956, 49637284], [96072579, 83810753], [83494669, 53638583], [98766601, 12231378], [1818387, 67136093], [21638506, 82790494], [87139302, 50242175], [54735217, 64741637], [95895004, 54001510], [26483801, 55981096], [49030437, 25202642], [20255296, 98334721], [18061657, 41745038], [92538215, 6737592], [2582018, 4076692], [3098539, 9430255], [2629517, 23163663], [92815174, 30878677], [60215624, 81710587], [40045927, 87266281], [21758416, 17408674], [10172814, 18570167], [60109743, 35654825], [49552648, 3201107], [12682117, 86809173], [22283822, 45537314], [84572288, 57007762], [76415473, 99599558], [66062200, 17816507], [11520897, 88256876], [64693227, 62116060], [46736436, 65187688], [42133486, 90841193], [99023476, 14564321], [49808025, 63140022], [46292335, 28493454], [21467261, 89504173], [62990246, 92530281], [59252017, 9066516], [25693604, 56405953], [30663871, 28619303], [59261749, 23470353], [35607049, 31847103], [24245661, 60656576], [50923741, 67848312], [64818430, 4825649], [85872742, 18050833], [64837206, 33243070], [48929884, 23315163], [15096542, 55897535], [28120817, 14022937], [88966934, 51058550], [6716799, 36418923], [44821154, 4200580], [49146662, 10566333], [49290447, 60219237], [72941773, 87612003], [91875177, 41923208], [98512317, 67348128], [93735487, 83209866], [22360546, 5647813], [49607406, 37685384], [14412031, 61496450], [96790033, 38699591], [73342170, 77825491], [67608798, 70283973], [67261231, 92728730], [71363332, 71834039], [35826356, 707602], [2122513, 60563187], [45630855, 47168632], [99670833, 54093811], [87672640, 63417750], [86369254, 72183066], [78372429, 14362955], [19125843, 59738947], [85908762, 19760808], [44576129, 87693118], [78997320, 42897706], [47388937, 16476420], [69082325, 17601124], [9588446, 18030646], [98107417, 27778026], [38832236, 35742074], [59493075, 83093742], [7969805, 69049824], [23646711, 19298112], [76018180, 21835300], [17645877, 22249559], [18587077, 99718069], [76387048, 47597823], [2881310, 99844719], [85512856, 22229675], [67850170, 71969923], [37386312, 52583999], [61094279, 22298331], [62204010, 80717304], [29608506, 73396110], [47785035, 49346193], [78491491, 78391372], [13064094, 65062843], [28811014, 82769198], [38425523, 78834507], [33855226, 95977903], [50101909, 82437423], [97745654, 66851843], [97876942, 50835376], [2536575, 75081555], [10993826, 17942463], [51011231, 78237893], [44873538, 8414580], [36132374, 20698875], [93645006, 91026374], [97295752, 96099904], [11279771, 56032393], [22482355, 9337189], [4306520, 71986318], [50987800, 68233549], [72155142, 4143729], [41592351, 10561475], [29964101, 54277271], [31806296, 98647656], [59400297, 43689623], [30812597, 78523524], [64424120, 54837647], [24231747, 73579288], [70611366, 91390321], [94213041, 76157089], [56238685, 53267481], [74911432, 78602750], [98464029, 58941446], [7531248, 63495678], [25037615, 96637386], [40500787, 86669986], [32695598, 79406542], [35736644, 39679806], [17752730, 90976041], [5471669, 15933210], [39553277, 47224639], [80938394, 82357390], [55746226, 6935200], [96596216, 78698810], [89060235, 1764314], [45694772, 57669182], [34396040, 67796916], [39476727, 9028506], [26261680, 25281482], [70919990, 45359388], [9264969, 20193422], [9171950, 53204189], [34693591, 74377963], [8656861, 47168002], [86621272, 4666615], [38936759, 99303382], [29868294, 47724322], [33277840, 89661630], [75432131, 14419497], [20532795, 40546682], [51202461, 96842070], [16963774, 76785236], [84356021, 57291105], [65380713, 46965433], [65437064, 55457670], [87750799, 42447397], [23873890, 78160868], [26799389, 26259667], [64179654, 1205261], [12451678, 56731327], [26128075, 36120028], [18663308, 66963408], [49747966, 3563333], [29957924, 77732831], [55573550, 98123826], [84527806, 94679188], [94294428, 80159886], [78148889, 50644409], [52868802, 25524899], [31789155, 24114321], [6269169, 87152071], [1447194, 78614840], [64630102, 42240380], [30415182, 26462686], [38213947, 9723764], [11449323, 4705699], [81182254, 96636696], [66686151, 82400851], [52957393, 4696648], [30890070, 45441525], [38374164, 44688697], [4617473, 74527412], [16451533, 28356754], [65993774, 2228491], [62736806, 16752619], [17483018, 27294794], [47821873, 50227757], [31209622, 65353796], [10486332, 24814420], [91063652, 56669485], [74847485, 77674392], [8236111, 42865], [69733831, 59341380], [75649659, 48799416], [41332887, 96162428], [77698386, 4057557], [1078188, 73546656], [64274544, 73774131], [14470121, 81696459], [6143589, 74812859], [49877868, 82932960], [78346230, 26005239], [38775085, 18964793], [98889774, 53676720], [45984361, 29866153], [62972452, 29032592], [68744886, 20774235], [8912175, 95424204], [24077503, 86065973], [32000894, 48091359], [59065524, 19716252], [96154582, 42862791], [78857242, 4376059], [24489781, 79518273], [98550428, 64796180], [67509735, 25829714], [21931380, 78426769], [20718637, 97090116], [74172816, 47609261], [72639191, 97741389], [68483232, 37498988], [19487022, 13245717], [25810781, 83503324], [59312212, 91123924], [76336887, 65835725], [53129967, 36797857], [63665606, 57564932], [17715406, 58372157], [76487606, 65614716], [6439457, 58315591], [484401, 91345774], [42458431, 14695983], [76275065, 25001932], [34742300, 89317751], [60200638, 61843729], [88724397, 40031987], [44626434, 48339538], [9066192, 74639228], [33833344, 29888673], [61428989, 59395577], [74914687, 71177857], [46992370, 99426314], [72819706, 4519571], [24978795, 99700325], [52958436, 84864435], [43101492, 81841681], [29092608, 68343122], [67022443, 98302282], [65271495, 6476284], [48961019, 41388613], [46147249, 12812970], [25894884, 21913104], [74860866, 9979721], [36859205, 18717410], [47718994, 73186727], [85825211, 51536854], [18290374, 94422524], [10997268, 68459424], [70217524, 44458888], [10935841, 20249482], [5323034, 84546994], [43734289, 81770373], [82073898, 4606179], [22503147, 20630231], [79173791, 82928057], [80488531, 81271210], [55653147, 73467638], [95393166, 69183068], [37378012, 97247429], [78525533, 63471473], [61348841, 64616262], [84492889, 65839886], [77768647, 75180119], [94302802, 6075146], [37025209, 66936455], [87154161, 5774948], [11502, 4235541], [35637435, 33327186], [50223611, 42427384], [53067779, 33694354], [83664207, 77256997], [97176031, 39395915], [2560365, 35184021], [80604233, 37735707], [60222331, 56129314], [48013709, 92739849], [38572993, 7373346], [18377038, 82538935], [33752463, 9913540], [26262935, 44731298], [1597618, 23298775], [46295837, 20678753], [29139121, 70745289], [56543864, 23352189], [941363, 19561421], [13460467, 76945602], [99772519, 85358983], [33768316, 45473050], [46612760, 15562869], [62631035, 25569404], [3993042, 48722264], [93677220, 48430829], [79568309, 9090317], [42015635, 69661491], [7989874, 76363395], [37031378, 92584081], [33371099, 10923017], [24384563, 62760398], [94357150, 38436368], [78084244, 35476843], [64606176, 46565116], [37365567, 38961283], [71935809, 71203562], [64638403, 93036888], [76103540, 92838955], [65186056, 59984916], [55538406, 61256952], [17969968, 83117612], [4289305, 97344523], [93274189, 68427854], [58704181, 68237416], [59601411, 47732273], [15187954, 37057891], [85717595, 23421475], [90699668, 61345237], [98816534, 52985448], [60211693, 71870090], [77434507, 46890368], [79239912, 92725301], [96460544, 58827416], [17172267, 81398746], [3130880, 45746686], [66048413, 41055670], [2947372, 44052795], [66214625, 7539261], [79071994, 14838259], [89277475, 55868959], [91418909, 64479366], [71652457, 30511071], [95586856, 80717847], [30945008, 71924561], [85062514, 88703353], [75975617, 87427041], [96237085, 20892645], [11671264, 43303721], [36581649, 99296558], [50189897, 99763339], [96584097, 81683777], [82203831, 94502666], [74644746, 90561773], [1332374, 51348525], [73955698, 49589165], [12699094, 97223282], [54844909, 54904967], [83758897, 82680977], [99714647, 44836810], [20767363, 53243773], [65356770, 85530540], [21241790, 48293512], [12889166, 9308959], [70248820, 44820956], [29706544, 13113845], [87967614, 35804568], [12072309, 98615893], [92830161, 88694851], [91682201, 22314709], [33414994, 44971403], [20085416, 71917425], [71873086, 83785186], [32464251, 74445273], [86397893, 96552892], [59654373, 12161472], [36480370, 32519701], [83615435, 35064067], [93110048, 96186107], [6000546, 47763635], [50485958, 62688412], [40939340, 37224333], [66978250, 71125016], [70769493, 219351], [5038057, 10910998], [85169370, 86018243], [40402508, 61443681], [63169926, 32694454], [32472225, 99331814], [44639949, 42676642], [30821574, 38304191], [21068498, 96907608], [11066368, 29820577], [89706195, 1413105], [88757384, 58761140], [84716762, 82428944], [71172865, 82143733], [14941291, 95334978], [38280407, 67762433], [8518903, 16953562], [43138031, 56002326], [11031003, 53452803], [70233624, 76350418], [82791597, 95915338], [44576730, 28788408], [88767232, 91988172], [62084215, 28649732], [23789370, 86959697], [39647919, 31909060], [21602951, 69985982], [43746728, 97500284], [69591959, 79643171], [12466361, 98635031], [64173019, 63854050], [27899323, 68370506], [45020357, 40675319], [77013126, 24360935], [42663836, 40795628], [62190189, 56949687], [66431613, 93712989], [6859910, 33040376], [60640849, 51239441], [89954918, 92884045], [84749676, 67741975], [84171407, 45562540], [32673596, 34498183], [54355481, 79540672], [49876001, 22675869], [91348757, 86039160], [2068813, 53469016], [6785352, 68992947], [76180953, 84282948], [80461935, 76045774], [67368472, 85880588], [21494640, 67241781], [43930788, 49585422], [41173008, 81225938], [91211189, 37278420], [61596920, 71608591], [61075642, 30276637], [64766887, 52164342], [87642188, 71372839], [17223046, 20508037], [84621472, 98943789], [37868739, 59704691], [80621842, 61014976], [86344837, 38389742], [36543188, 42780532], [75495933, 42631620], [70882767, 93050765], [29246348, 49144597], [21196153, 31447539], [99140215, 17379130], [89056950, 97021881], [6414151, 55585988], [6043744, 14796321], [82778425, 51901376], [40424537, 16286325], [97992721, 71388074], [4932063, 23716607], [50863838, 38482159], [82051441, 97958915], [22065364, 85926731], [68599621, 57071914], [18743545, 63238543], [3882606, 35088692], [73406250, 65799125], [68571354, 16575652], [90901169, 30813324], [61742999, 76450556], [28492493, 94036845], [40078566, 99352317], [15411858, 62436494], [75251469, 62448490], [43664523, 78149906], [48189665, 12817867], [80770299, 3920181], [97121319, 70797879], [61197582, 48781009], [32553930, 6196634], [43854008, 78413308], [38791758, 80778480], [13875039, 577933], [74900698, 95989762], [27985000, 81784607], [50196184, 88826739], [32822282, 48278314], [10743814, 69786757], [98662941, 29689882], [60284122, 2479187], [86878427, 85760065], [82098463, 71217314], [62139783, 85263988], [74227895, 83830580], [22460864, 57798570], [60751484, 32661645], [93704600, 77279963], [31390833, 12044701], [95363677, 13290581], [76695999, 73361336], [32083452, 93327953], [19391720, 26025153], [18747118, 4336571], [41702472, 40549835], [29635894, 15312047], [93366048, 27731698], [69536752, 91187542], [95586547, 28125297], [26695230, 23635908], [52365227, 76559554], [30664734, 84482901], [22124241, 60849827], [87744750, 73886704], [24856276, 71768397], [85080168, 74728544], [99457235, 36865321], [70938671, 78112767], [12327418, 56210100], [85991520, 55810194], [98015612, 83274521], [39681888, 4218108], [27563060, 67224874], [60795554, 4009506], [51863557, 8874], [18949873, 74309654], [34369218, 87556663], [35591645, 10441305], [50711381, 41895315], [13285777, 3162502], [84870667, 48986053], [25426505, 82084210], [23443994, 83686377], [17604272, 55958690], [33795829, 91934163], [6184606, 82477470], [82648083, 42216128], [5659569, 60816351], [31539256, 57271581], [90204541, 30505797], [96281502, 80882594], [79457582, 91348375], [60711763, 29612178], [78438248, 58816721], [70400855, 17680201], [28443152, 39566443], [51992225, 85093169], [27606569, 42369004], [38074331, 88110519], [74412067, 79435008], [50721793, 22549778], [25538376, 37029704], [98392443, 16095158], [47265757, 76201577], [50898914, 2978657], [23716629, 80560899], [37572109, 57766485], [32576082, 63253772], [99156446, 76024241], [680683, 63716161], [98289581, 81950317], [16651230, 68852736], [28800702, 72544369], [57618533, 65227722], [95527404, 62281790], [62050117, 13006873], [61594787, 73576386], [9108897, 2088993], [96028274, 93169529], [19953767, 66185560], [62001556, 48686803], [15039151, 22070787], [49295866, 74780135], [91803184, 69331885], [45968761, 44627739], [64148208, 86109001], [8876455, 14988255], [72555470, 60517224], [55850488, 39174355], [38712120, 30101272], [60964514, 58624340], [99520987, 54168498], [48510585, 16003603], [74224683, 78253176], [44718903, 64618168], [85299946, 25740441], [89136471, 47628191], [82416261, 67273135], [27956356, 59654624], [90316210, 32018679], [53787306, 37884843], [30427635, 10011095], [28882525, 64275165], [92579092, 1011545], [94340286, 30605034], [41321562, 73362453], [96459339, 95502335], [88214130, 22257990], [21583315, 15898115], [94377498, 30162254], [32497382, 16922706], [1178301, 47430778], [87814571, 97460114], [35482931, 93083670], [38043611, 49375600], [28266460, 14489276], [75987936, 90188748], [72837823, 58947870], [46711672, 1192954], [37696242, 82584551], [83239778, 33871294], [54325705, 72926292], [91521347, 94906329], [84856616, 78368385], [24426686, 27802104], [88703092, 8159134], [38879064, 48940431], [27806031, 72175969], [29801304, 39721338], [69272277, 1776335], [91586777, 31075404], [62449532, 54005383], [69327371, 74075784], [74680689, 84399333], [50764469, 43210117], [33432608, 82330887], [7192797, 55195403], [28514314, 33867911], [51840854, 40176082], [50605419, 87278067], [61071580, 32166443], [36543193, 17768372], [62721881, 77943681], [44707490, 34965753], [59515025, 16299612], [95200650, 23933247], [95687111, 26780219], [15191447, 57718163], [94023141, 69458050], [55019731, 99863300], [62114224, 48690012], [31225865, 178394], [10028219, 33238928], [70555117, 58920216], [78882478, 69111075], [39668955, 14047631], [76133547, 92819675], [35886261, 9645995], [77759299, 47954432], [91650026, 96809820], [51971956, 99477955], [40953932, 23318929], [34296945, 21904390], [96902036, 3295959], [89251046, 48017010], [38227037, 96161257], [62259228, 43847502], [66639636, 86421424], [87046810, 66606516], [86197838, 8857066], [44961679, 43918131], [14436745, 11453364], [783521, 79743979], [2913382, 77972632], [13318615, 32946402], [46175272, 79568772], [59734213, 30425941], [27153103, 67395096], [86725907, 65315601], [64733220, 53110317], [28875355, 29446303], [12965220, 82013984], [26183164, 20697574], [84453523, 3294347], [88757174, 57360368], [5552858, 23648832], [26074049, 17968726], [60563079, 43134989], [84679341, 74969746], [28042306, 645702], [45659015, 51966004], [20345510, 46030171], [2520047, 3970265], [1028082, 5693186], [73896641, 28263107], [98128033, 19899554], [2370261, 60624439], [80328704, 14956828], [2423455, 48977600], [1517301, 92843173], [20795946, 41676355], [69681580, 15440626], [40841497, 62612577], [36591456, 25057012], [40538367, 37981308], [19410916, 70885565], [7263256, 89684451], [89595398, 14237876], [6214736, 77382085], [15827804, 41090239], [62352983, 84660860], [3163252, 71210197], [16168586, 1481940], [83365679, 3132206], [71353112, 37703692], [28724749, 53838982], [36550174, 70267702], [15397894, 22431031], [34075387, 75573624], [35974089, 91152725], [40646390, 79375981], [87771887, 33235059], [71678248, 29972308], [55198608, 29122911], [15217299, 4057469], [24534531, 7346580], [69774587, 25801874], [15196449, 64397756], [50974662, 46161385], [1229305, 70277034], [10630721, 39782880], [42139976, 71311157], [55135825, 2336731], [80047978, 77615600], [43413976, 69081569], [94254047, 71157150], [32743857, 73130650], [20148906, 96162101], [22660348, 15568832], [10239842, 97609555], [63370275, 98319844], [96438783, 76161361], [19353661, 20899986], [13227410, 14275758], [69118673, 54861246], [25871993, 97728309], [71463502, 51185895], [740107, 86424965], [63191540, 87022604], [97888657, 50353056], [74603290, 35968587], [62594202, 17767583], [95956696, 18721889], [94234024, 51179523], [6457450, 6273034], [74285543, 80420684], [85333260, 18350277], [66255466, 77816721], [65559610, 12076476], [54270157, 8252103], [84031224, 39752989], [67823886, 2427765], [45523592, 74188078], [36875529, 60223761], [26554728, 83326214], [21407193, 1599306], [76022769, 16762094], [8186776, 90620785], [4916020, 57141505], [79709077, 20600405], [93789215, 44019707], [15870660, 73928648], [33879013, 18807358], [85205735, 17981268], [28608827, 72324080], [75227527, 81186600], [61466188, 90383428], [96669279, 84859366], [14010277, 43054094], [21128077, 75558350], [20861858, 40779033], [20480478, 18813400], [28219262, 31517333], [43941332, 4172801], [9201094, 69608235], [52803849, 83684213], [34697477, 95927243], [20030900, 23342224], [26368998, 43925504], [89806950, 60060807], [59305298, 25952427], [51101782, 20835472], [90046463, 28440761], [45731636, 39366846], [86481731, 84764951], [58348741, 35667222], [61496037, 87075600], [88812516, 14335860], [521374, 62769093], [42182486, 59281490], [89901688, 33455595], [64184962, 98257744], [14393191, 88579884], [74341428, 19577259], [88096987, 12393361], [57141288, 59735793], [4632852, 58604594], [99523353, 31087561], [28367092, 24444003], [53388317, 46773727], [84787712, 29423778], [24005871, 92130293], [27459894, 10707391], [37780177, 65081311], [26434025, 82962325], [37056963, 18022277], [19207009, 19807898], [59056129, 74264764], [49020462, 45613899], [46399061, 44949480], [46403508, 85707748], [43252397, 78901414], [28427376, 7866811], [48591723, 73663938], [76714592, 53407375], [56552670, 45291776], [93037023, 50438788], [24325270, 7098123], [50072121, 61600823], [25283804, 37076878], [92946759, 52241485], [13223032, 67579031], [37300472, 9801640], [44870182, 66142165], [11847225, 77075139], [64519087, 89900045], [90390534, 48650491], [79183907, 27466214], [82900062, 66025328], [19134775, 35144270], [5100889, 74194166], [37214835, 26895373], [68037973, 68242647], [94170101, 60443182], [13717292, 77115837], [33882556, 87819344], [1687086, 52017003], [44637706, 33496669], [85842570, 30834477], [49934581, 61942090], [2705504, 52102517], [60654711, 99323675], [79839463, 26394705], [65334586, 39751975], [73542639, 21842924], [47693009, 8509192], [67590205, 37680152], [76128836, 438506], [74831186, 35778925], [35213174, 75821866], [71270646, 64092854], [69015996, 98797471], [20345530, 80298842], [87309630, 41247342], [2993079, 36754469], [91385588, 1228987], [342407, 6789766], [91540886, 16698443], [52431105, 77559835], [60637487, 45665341], [32617606, 41360741], [89832120, 25374222], [63903913, 91921017], [65680324, 66544915], [72296269, 1859997], [75403512, 3999568], [26908283, 82535947], [80798307, 37243995], [19964776, 25133558], [7170293, 53351477], [17473211, 57498441], [10891276, 70422479], [5404511, 58990271], [1754924, 78565687], [82488413, 75174056], [65324009, 67511151], [45601542, 93770968], [25920890, 59948350], [93482231, 87641973], [83425721, 82998305], [72949239, 18989386], [22119162, 88715442], [45017984, 56337237], [96828907, 80481834], [94313603, 50746336], [72269386, 89924072], [56350888, 71540893], [10359749, 5732542], [51103311, 61553817], [9189943, 46203861], [36010971, 12887849], [13363954, 33100588], [88198481, 10109530], [64114300, 38318535], [21090414, 13950603], [57490219, 29434709], [31363438, 76591060], [15280759, 60052142], [57394095, 37956216], [99676454, 27257191], [57116289, 14611418], [26056167, 15672948], [11667753, 60268468], [60105053, 70474867], [95656619, 70068308], [20284987, 64616302], [34460778, 71685798], [13265190, 182220], [90706750, 32242078], [92746531, 82983502], [11927879, 4491726], [8611210, 34728377], [72377088, 42888428], [47594335, 82654354], [69344425, 88696027], [16738948, 79974917], [60452752, 27536977], [48210256, 29238397], [85389202, 2767730], [7452747, 27296632], [94271351, 96945149], [33648336, 20238131], [9837264, 65983519], [20425615, 58593438], [65893101, 59462554], [41459592, 94982883], [35509162, 4191152], [98512335, 86055742], [41347207, 56800651], [84496754, 52965213], [52422430, 61505778], [69458299, 61011918], [18809529, 35339992], [77277712, 18762262], [50378827, 29402053], [20025771, 50825257], [69335071, 41961653], [75620673, 10024833], [60758818, 89681179], [52269822, 16262693], [84909190, 83177559], [86636140, 11458256], [86641875, 78233892], [73405226, 71104244], [49752693, 57595494], [95130950, 28276505], [50651428, 55268415], [13648805, 56606397], [9798998, 17144849], [73179568, 59495778], [47240667, 80620811], [10679251, 36800845], [76483235, 8016230], [49392522, 62149653], [99367940, 23855048], [2832624, 88970887], [32180146, 29406994], [50087516, 77642714], [96249181, 72920136], [56377861, 57778282], [90742066, 13357008], [24247996, 49020049], [73760844, 66653711], [62899558, 84062075], [30235686, 24173678], [83474285, 83653123], [46456663, 91582809], [90254499, 29224686], [43817658, 55495498], [60039298, 50428562], [74827420, 59350262], [7992793, 11197679], [45215551, 29819906], [69170263, 81888349], [17981697, 97529849], [34779525, 48543643], [4879740, 10363893], [7793413, 55943962], [37594729, 25655284], [2986394, 14984335], [45112746, 27546865], [1013897, 77168785], [92023822, 58167377], [13938294, 87649668], [66205894, 56997023], [74599682, 38706511], [85390278, 75045201], [21730981, 73173392], [84502459, 1039576], [2608059, 4672240], [66038175, 83010424], [53921004, 55109115], [26971961, 40857931], [91023390, 35497360], [40439417, 47389554], [87934323, 81142082], [88343118, 81413319], [685152, 55514602], [41637951, 1316414], [49468541, 5001515], [78875319, 99180095], [91967945, 37044083], [79685340, 60780217], [30974998, 96704872], [56923163, 9175356], [44451400, 91675583], [54917028, 92799383], [7887387, 76433079], [23063314, 82271572], [90767485, 52381917], [47797838, 83741117], [51078071, 46182764], [35572091, 37778541], [19610240, 41467300], [88744674, 42474622], [23786308, 50030115], [92204485, 36418565], [65114904, 25072295], [3862140, 3868817], [19180057, 91120225], [55980783, 42006964], [69167598, 18620815], [50596214, 33484198], [48085429, 56134454], [95221683, 56518905], [52293806, 92394971], [61668282, 30700046], [78246971, 98860556], [40149671, 2833496], [3735269, 62569358], [19636327, 92721304], [80478854, 85993497], [92844368, 2283697], [45898189, 33141890], [85745402, 63000883], [42539797, 90787979], [80196369, 32582536], [4501995, 65046752], [80199939, 53210623], [94419076, 6051452], [85836860, 93970243], [81603194, 80524921], [32314333, 58694340], [20417823, 75935275], [51567029, 68189211], [23508588, 56710065], [61252572, 71188450], [38533616, 67884085], [26809078, 48567748], [88903857, 95179875], [30001639, 46396591], [18220479, 95832186], [65511422, 27874757], [89932863, 85082269], [75609562, 79868225], [83046600, 52262513], [10547107, 70229235], [54045647, 27748303], [12480527, 2223935], [71866608, 4782419], [28509626, 7982207], [89965431, 39186147], [49546291, 92583608], [1492779, 67597691], [4301702, 90075422], [7359392, 84657036], [60624057, 18458013], [83401193, 23732684], [31286526, 10329153], [23534683, 93837570], [2786829, 353516], [711446, 55213888], [92899310, 80801992], [13804103, 31878655], [41131188, 19103959], [31825320, 81817395], [79176484, 93103323], [11483367, 42740172], [92778962, 7147644], [93570264, 85052832], [34542613, 1850404], [18524415, 42149630], [56939875, 23911093], [57907488, 5946533], [40163419, 11576750], [70450505, 6618076], [97665910, 44897098], [48469980, 85937159], [54102766, 8731947], [44591551, 89037204], [2816349, 5787267], [9735171, 10656616], [11928849, 52880983], [18318027, 34056950], [75934746, 63328770], [1098845, 26969326], [16063882, 66704230], [46942018, 85336323], [95679648, 52443195], [6882310, 97932908], [15183540, 28999818], [82862483, 41029382], [58219264, 66166633], [48722275, 96486814], [52600943, 1356182], [93314615, 31065611], [98584717, 23791093], [65849813, 21542381], [69821755, 88784527], [73211479, 37956435], [8814777, 78564440], [52514685, 189764], [35734037, 66005377], [82660692, 51330533], [22454365, 92139859], [17118683, 78779429], [75592310, 31609800], [34052279, 57812600], [54860260, 55441767], [9927695, 98433067], [60520111, 28790332], [13308720, 84998998], [79866482, 89866268], [12894633, 2456765], [28670664, 7524363], [67176349, 30710571], [24242624, 57853052], [451786, 77828013], [27783087, 5736551], [83483136, 15108217], [31904119, 7536451], [70376117, 53794818], [36170011, 1061677], [43962457, 7820737], [33429950, 65678508], [61437190, 74170936], [91096782, 39646706], [51375437, 99644325], [30088754, 50370997], [22466979, 3129032], [42436464, 69149662], [60485395, 93045570], [66639086, 63240894], [12812373, 89343986], [97718196, 87091377], [57167823, 96410980], [22825232, 97109370], [85717570, 23089403], [12127348, 4523769], [64684710, 85120257], [99299892, 36319970], [78518503, 65960573], [57912128, 12932770], [69110789, 3251260], [95097964, 19977832], [81667486, 69468856], [56698682, 32527338], [2287269, 55411779], [96199417, 47320091], [39915042, 79615481], [7580416, 1808724], [85683805, 41602177], [529353, 24888384], [30502724, 98876129], [72886185, 84075130], [94917627, 59318497], [76234583, 17896249], [8738888, 20438568], [41450165, 75320792], [71197090, 34769709], [48693691, 23074859], [34120515, 96799295], [36878467, 41572670], [47101358, 87770542], [23839296, 51124032], [33149946, 44606490], [92417359, 20451495], [22161223, 98905158], [22465861, 76196696], [75206609, 52843251], [75117783, 9151335], [24608050, 76682068], [98971315, 84191083], [42288272, 95458547], [18883397, 78705291], [8978918, 54541136], [53672292, 17282845], [24399272, 31805002], [43495941, 70721350], [52845903, 64438035], [16790889, 52620490], [26684029, 35967422], [67324086, 81769894], [41535938, 73175019], [84465894, 37018124], [84111396, 41934203], [59866705, 9743969], [49964524, 57950041], [25867566, 14271359], [56528904, 65857155], [69072522, 4516400], [68873881, 55848571], [2552513, 37736477], [8998097, 548978], [101097, 20749622], [10851767, 13948982], [30590747, 72020712], [30836128, 80926680], [85441544, 47083995], [8466184, 93202432], [6363817, 43397110], [80340690, 88195740], [34024732, 21760892], [82742760, 69134192], [28360060, 98442111], [61830365, 67741142], [82589260, 27537680], [95094899, 65229590], [67161211, 96922572], [4999503, 22770275], [80305508, 99016326], [72661293, 96391238], [4880565, 89467008], [51917790, 45554182], [43756938, 60456230], [88593634, 78923102], [55751760, 87015636], [3230869, 75313934], [70224470, 3394487], [74212183, 74943791], [37948873, 13224251], [38608166, 21300110], [54668975, 4096032], [37165968, 92507129], [67297203, 90401057], [42992479, 59501454], [76932869, 38807620], [62212012, 62668381], [63256127, 99250700], [53288732, 84086781], [43743438, 59958354], [41306643, 83541873], [53344631, 7971273], [82212213, 15632353], [23288066, 54378424], [68659679, 43403970], [74587186, 95286484], [18188640, 93644601], [16092265, 18173949], [46123488, 61006486], [45181603, 10041227], [94807129, 49116251], [30864876, 43159579], [63353146, 43317356], [66876281, 42995631], [26018914, 36284240], [15831935, 63982598], [83799369, 68575068], [78644900, 33284314], [19944168, 77030909], [16911953, 20587675], [99737664, 12158873], [81115503, 40609785], [97485119, 79577670], [59605082, 40626841], [98716293, 45848253], [50104422, 15501286], [35184605, 3584669], [87363434, 62257643], [43513024, 9699308], [86836738, 10338281], [54645124, 18647556], [18794550, 34789118], [51878424, 79578270], [15343340, 51798116], [47907539, 71485259], [11723027, 3851872], [10392450, 87021306], [97043817, 3058965], [8961146, 54017776], [38451427, 24779222], [94242482, 57789626], [58972542, 42952542], [22762483, 25488606], [8727487, 32337223], [45344885, 89724129], [16180210, 41106589], [68222303, 79451349], [47301400, 511177], [37593854, 59049276], [65639180, 65994972], [48147960, 84817094], [69229610, 68579181], [83349892, 61746480], [81287405, 79787979], [28237, 48229625], [68955468, 39126126], [80956488, 12092384], [7171926, 96841013], [65600634, 26159251], [10594466, 31518347], [92984087, 84261030], [25695887, 31718531], [22619370, 20704333], [62321927, 12595065], [90134989, 75757881], [31647818, 12360353], [88959255, 96578987], [74283799, 47443222], [31884935, 99398337], [50438248, 91751391], [49210460, 81657052], [71813344, 39478853], [91976415, 44164034], [62530460, 35702275], [62380385, 31080968], [48218385, 67558839], [25828936, 40299519], [87005060, 71072496], [34939060, 43045358], [71246515, 19602549], [17989414, 95847455], [5340272, 32848304], [87696429, 31018759], [72091679, 17369185], [50288897, 25431029], [85338770, 67719956], [78391254, 43762397], [35532325, 98843738], [37752597, 81261280], [7276630, 16824582], [24929549, 16169386], [40737223, 71313366], [79809125, 10622049], [43767036, 65357883], [54772370, 32104935], [58851955, 78160249], [50995073, 56342412], [48886365, 37785355], [78703258, 38471274], [66420345, 9482536], [82298724, 70062343], [27035691, 26582965], [41269916, 14992008], [86761715, 78742686], [43577829, 74776632], [40694892, 89961707], [9960933, 54299555], [56177301, 94022681], [6004767, 73562778], [69030478, 60674123], [93697139, 92063641], [27604047, 82340298], [48091779, 1722834], [73089848, 13107170], [42802796, 12419769], [49828340, 2515153], [54790310, 27898866], [96575438, 13517529], [88616096, 44964454], [67440892, 27630467], [91147439, 33160582], [67899363, 54406301], [44492251, 51736363], [90456842, 48883813], [86327922, 78022656], [67777627, 45218266], [41956175, 12761564], [39765655, 1319261], [11884755, 78643577], [80596612, 75976084], [64829002, 72555301], [68598535, 98532991], [99898792, 95719381], [27654399, 75794168], [65518896, 56263368], [65621299, 64210514], [47648927, 34427139], [99691934, 74283917], [74645859, 95283877], [31193113, 97618138], [38540567, 5524615], [67532905, 29913036], [45054095, 32511329], [6611696, 57528753], [98225680, 30125888], [87489987, 23561915], [13213868, 20165368], [30800577, 47890537], [8718919, 98422843], [18735920, 40148118], [64668730, 23246417], [48820319, 85583540], [99214578, 47798978], [6240139, 17982605], [63282139, 81359086], [82139672, 78810534], [63784527, 86309808], [91207429, 64969394], [62129706, 72943896], [68186125, 8663790], [95537555, 15954310], [266548, 82816969], [3784600, 15852141], [99967185, 60226517], [80652381, 80109501], [59915063, 74642176], [61468633, 30040431], [15658706, 42885775], [95102912, 29493951], [75553216, 39302260], [79899883, 68067665], [25820520, 19477438], [98964783, 4973579], [68481890, 98668637], [84074983, 50570046], [25930370, 64382475], [62253560, 36511793], [90706909, 20062787], [42347657, 42968218], [36748045, 39362303], [69563392, 25361055], [25856539, 69013522], [97363181, 57590537], [35342483, 9664142], [70153028, 19918891], [77382774, 54277752], [54294205, 29538795], [6251737, 83036373], [83556159, 99040017], [95851202, 68208640], [22844035, 5353392], [63511119, 19435731], [93908458, 81306008], [34550802, 15404236], [99546289, 29139978], [10502483, 84790230], [92199857, 88601027], [37631269, 7271762], [96693114, 72557889], [27711511, 53702719], [62731140, 92410196], [21400665, 33825241], [33004308, 58675888], [13916370, 14107161], [28953196, 75327417], [19313123, 90062798], [57658854, 76884127], [89913046, 90269614], [25158591, 12290559], [86497213, 45365601], [80173178, 4887989], [59801943, 30841965], [49492107, 53038829], [51538545, 89842192], [71869745, 52869084], [70292804, 96485748], [55001951, 50879285], [62904493, 92968233], [41439884, 1761010], [52727335, 24534436], [324273, 93248467], [73618603, 68279793], [37527286, 82103990], [50223020, 42966082], [83164561, 70564983], [70224245, 92624537], [33336661, 16327017], [91286117, 44880262], [84910281, 90526789], [6721445, 94162418], [38481552, 47398594], [66445382, 37243636], [90759643, 78098485], [52395280, 39296987], [65414064, 86357995], [40582494, 37628075], [86685377, 31687837], [39983525, 19724766], [31449825, 93138851], [66107681, 22824888], [81410982, 21953529], [44218171, 50859585], [8338414, 38958120], [6669028, 48638106], [18807358, 41865257], [23798295, 3554163], [86318263, 72661126], [21881701, 94922996], [21483834, 92768848], [8179122, 44277024], [59431776, 7592415], [31736363, 82138950], [6855067, 37196535], [38235997, 57930279], [21633559, 30522000], [90414833, 4620603], [39458734, 38212629], [47663846, 23927249], [12379896, 5200723], [68149456, 26950139], [63091172, 1409899], [12651713, 92619012], [65944944, 4133014], [6396098, 75223971], [98300083, 44146473], [15098559, 25788655], [99675151, 73072514], [45932601, 69021513], [85908263, 26727023], [17679079, 43104921], [73914092, 26310564], [11406647, 13600501], [40238370, 9799793], [33039822, 70459205], [64912360, 70525261], [88821861, 24090618], [61056892, 39667545], [58827016, 62580476], [30903724, 74207580], [42546017, 39864914], [28410787, 43522744], [39584601, 61685251], [81236046, 19815348], [85470085, 75247506], [13716992, 42196235], [48807151, 55537225], [85003404, 4202520], [25958887, 18620239], [40711769, 66733467], [45779946, 83315576], [93048400, 79735018], [80225163, 91562068], [55512984, 99656594], [55150042, 45270299], [30883482, 15382978], [24180380, 10924778], [33411504, 11736166], [33853197, 52139155], [46236395, 8605741], [90648658, 95358398], [40838208, 14589166], [96933332, 6419646], [57167210, 47515915], [61387311, 5331366], [1341383, 93129595], [80626641, 29695316], [78789096, 84525770], [27386864, 26066904], [81621008, 10535474], [45614467, 82542831], [6349128, 65741363], [59486291, 8149692], [29814363, 10656594], [2303022, 7681090], [76590331, 14538607], [94349910, 70645392], [91083799, 69472944], [12215432, 22400330], [4326929, 23538237], [57698278, 41330070], [61168214, 68790275], [64791026, 33827323], [48459124, 12363246], [58464272, 43529975], [29158322, 25919163], [83636780, 93634715], [10208563, 32577293], [33226872, 80260003], [9809232, 32200523], [44135224, 58275410], [90701905, 38499118], [37288762, 25051868], [31095152, 71033968], [52343946, 68674832], [58129630, 15252201], [72865404, 87494526], [15163259, 68813073], [79856523, 49449870], [33501774, 82661230], [81960981, 17808994], [21134881, 46321171], [46598657, 91196286], [47832268, 63087012], [92440271, 795860], [77335554, 39899706], [79114674, 15409092], [69713785, 34862144], [69597494, 73984724], [48663006, 18758439], [67254011, 64492288], [82858269, 83998877], [29273612, 17797881], [7123004, 9612055], [18674762, 36941878], [70634337, 80409677], [91502201, 40322842], [86846125, 61559190], [72011363, 77213752], [34859491, 44379003], [49949869, 9889509], [89376035, 97253353], [63297499, 90034096], [66512235, 20595164], [63311612, 36227807], [6490927, 30530502], [56642148, 88172829], [27598125, 93674430], [28428955, 85536127], [88948177, 10436186], [21070900, 7582726], [94200077, 70547261], [43936005, 42990114], [89108155, 77459365], [61951965, 59179449], [32340891, 77012622], [95662828, 82496822], [50844291, 96767640], [2198164, 17686971], [56842384, 6057142], [83983349, 64625044], [4912340, 59012791], [66385750, 86435748], [23860158, 86783321], [30222005, 56384574], [59242029, 35344040], [48491564, 54358021], [72178539, 612107], [39028805, 3781658], [25467625, 28973045], [96043376, 21937430], [16482155, 43726235], [9812195, 96308318], [9451637, 50675675], [25898759, 17315356], [29890919, 4212765], [58657479, 6982839], [50066455, 11544833], [20020070, 98393189], [78864582, 8759077], [18178220, 92380259], [89702070, 5096240], [29127265, 63571045], [68757108, 19450418], [53665219, 39949457], [12653193, 21154410], [32530852, 15686399], [67746223, 7497977], [49127953, 46220206], [41826, 75654139], [55268676, 14926118], [73088551, 7298028], [67699467, 24199483], [64093568, 54780179], [58894252, 95130738], [51059292, 40677704], [9987246, 88581679], [62388874, 65846950], [28270390, 12137830], [54505778, 14379474], [39604721, 28467577], [11283035, 72457297], [69006512, 37798231], [49341068, 79491392], [20653951, 10871530], [24926058, 9694631], [55077906, 52276037], [58211339, 6146616], [7236765, 51263883], [89716128, 71906430], [27766082, 89631178], [11903109, 12804360], [2408943, 1379265], [96089709, 86109637], [61916563, 58124112], [23068459, 19771997], [12457643, 9472088], [80867305, 58266256], [19942118, 67071896], [4366108, 54490582], [1239745, 12374904], [69389907, 39698503], [4579322, 59239136], [65839577, 92823829], [9419050, 92509870], [59598728, 33969053], [58038592, 45802186], [29732144, 44796071], [71997051, 52118204], [42479115, 16862690], [35654355, 80937911], [13636487, 90107037], [58709087, 62351411], [56474650, 57425754], [73356302, 69664618], [79443580, 84930408], [76808979, 65961618], [39997971, 89722872], [82211095, 77960201], [71010919, 59620264], [73835867, 4652931], [82273853, 59675214], [46534936, 56726303], [99724751, 43771437], [96245428, 9702812], [87994520, 48387247], [11550719, 19009330], [95055682, 40120688], [46996655, 18543814], [47434892, 35033706], [65078380, 48663623], [75773044, 20123344], [98277013, 86697428], [77626951, 82782781], [9536037, 31135117], [29299270, 73320975], [56420207, 10146814], [69195302, 59737122], [34014454, 63133930], [86026470, 521368], [67712259, 53527631], [50565393, 27390445], [57794295, 76879016], [17883, 71992500], [62813587, 44580886], [35918413, 73070488], [24391753, 98388672], [36693768, 39340273], [54184173, 54172781], [69113693, 81403442], [10070925, 22663237], [80928270, 63586091], [63760338, 60244035], [39837074, 12108038], [2997661, 24807745], [79366356, 39368122], [81352759, 73704146], [60255780, 41942934], [7154551, 32744410], [68723411, 9412104], [56512917, 30256711], [82403949, 16044519], [86680025, 45631412], [74316806, 2300519], [19533300, 20177713], [86860392, 34888305], [61003820, 21773237], [17755327, 50825352], [25766986, 6978828], [2523041, 17889162], [82325448, 78317063], [93802068, 15738041], [46734566, 20481829], [70293914, 1571960], [38772257, 29758284], [90130482, 34447023], [73554256, 44915775], [65419659, 44569209], [64497439, 10125822], [24950998, 81368282], [12189828, 91210888], [52425527, 55825076], [83995040, 2457443], [38713604, 47426558], [90577572, 15039184], [86963570, 19348356], [21497052, 50758693], [58628712, 50661594], [80174184, 95331143], [86034600, 68533879], [89002681, 66407159], [30163699, 85556820], [15873388, 69542105], [96940946, 26765034], [88761033, 2739786], [1748663, 93310177], [61241395, 9101898], [97674663, 9018453], [49502595, 24709246], [7591673, 23318961], [14961967, 94986375], [6743409, 71585564], [17223190, 41230876], [47534935, 51355823], [18282701, 93610907], [57257706, 43475186], [92008842, 1112953], [82085536, 42298441], [89750283, 90701224], [50274466, 92532573], [82781593, 78666327], [61827437, 95877197], [39794116, 73911581], [93595594, 75396748], [95411269, 11532333], [56491723, 54095775], [47928019, 15466909], [42916706, 89057219], [35882811, 8746245], [31806537, 13707080], [80200493, 72418694], [57772748, 45542817], [81937868, 79493854], [92155388, 11310129], [35771898, 9482516], [43346933, 24503894], [68632234, 29092003], [77953661, 8147596], [22235246, 1858070], [46800620, 11482248], [64980368, 51047305], [37615679, 27859561], [54441351, 64985769], [25235788, 15457920], [90783375, 82860804], [53688344, 66448955], [26214360, 20469725], [64727659, 85867534], [77994116, 30601093], [40417040, 78605406], [61391409, 24955619], [58991684, 7051521], [46148549, 84733026], [51951688, 68452270], [25020342, 90236033], [25700366, 92364909], [50800591, 88824458], [10406279, 22687017], [45530178, 96377530], [67408313, 1916860], [14114355, 51825283], [13017220, 62332499], [19395718, 3523819], [55249130, 71633002], [6103642, 9156250], [99254515, 86617387], [87746666, 51691054], [13311192, 52807415], [56745350, 43875947], [11620278, 45985256], [96674359, 18693409], [49061850, 72797633], [35136460, 91849696], [80684659, 21348730], [5117463, 47497243], [39628294, 31516678], [65611825, 3803389], [56648134, 21690152], [109797, 92813859], [91252949, 404886], [11800216, 1169693], [26550061, 50389263], [82553036, 23291186], [49326164, 35363278], [70156007, 25710785], [24004270, 45814422], [98592969, 66642247], [95738089, 51393819], [86944887, 98363672], [31568404, 35475967], [66865245, 54928371], [82271298, 76153215], [76933105, 65812488], [92448479, 72310479], [2878849, 79692782], [50739484, 91452551], [61888577, 15929098], [81673453, 42314381], [95340934, 66339078], [57782696, 23001404], [45653619, 99504162], [95326399, 18180623], [69481441, 99533238], [42040009, 67458318], [29340451, 55216647], [13496082, 3215226], [78541328, 78958309], [77295299, 96258578], [38578472, 84913693], [80565472, 87992443], [78585059, 36473165], [8807467, 21327330], [6417537, 24108661], [86796885, 41770392], [8662477, 13491306], [49154347, 11053637], [25732401, 99865440], [54503182, 69378578], [79173571, 66012292], [40126341, 92812777], [79980671, 48802904], [95039295, 32532304], [89308648, 76960310], [65218665, 83698743], [81557607, 28419462], [86435631, 62769359], [12550464, 85703323], [34180101, 63940427], [38713027, 34635142], [21544222, 67197057], [50754789, 15263662], [78862984, 77134663], [90606532, 34242252], [56283919, 83476455], [67161408, 72028755], [46147611, 37238494], [20560974, 45655612], [71719359, 62839924], [31893032, 722541], [16309717, 75750175], [66528739, 5408679], [25711378, 10831848], [88744557, 13738513], [60061896, 51367423], [63729588, 94370759], [98515779, 79718840], [61472234, 63147832], [93726686, 52692991], [84238066, 26296611], [13396354, 93415573], [29000457, 96950045], [70089616, 94358610], [48028726, 1701140], [25355026, 41661456], [95370164, 15908877], [48291335, 98492962], [82579684, 27320282], [89006786, 36108382], [33264336, 36918914], [77703348, 59243288], [34122028, 79916647], [41922742, 71950250], [69885122, 29619673], [93270494, 59559148], [61857431, 56094470], [69074004, 3208554], [42052815, 76964013], [11504251, 95610465], [71492752, 32951484], [32146391, 80098560], [57989908, 32473047], [40086023, 24966356], [17488707, 64599788], [78799731, 60822955], [53113748, 68603988], [65804084, 98611524], [74917181, 61987479], [26822474, 57517836], [41236984, 81899098], [59125600, 50915224], [36986352, 9337206], [56178129, 9793662], [69389179, 73628482], [4240447, 57525398], [43137842, 98349615], [23099498, 36489036], [92926448, 21584171], [27894646, 52744144], [60883953, 45281426], [249779, 18797291], [49746550, 45782785], [73140804, 18324517], [86544260, 32438700], [8800987, 91178737], [77876423, 1325273], [5410795, 74138925], [97227704, 94063444], [54234633, 84883782], [36455087, 77285724], [79865835, 52843682], [54214385, 2690026], [78725947, 11722391], [30162209, 11538856], [72556088, 29387368], [24806945, 45518432], [17360484, 97371935], [84902525, 54844745], [38967085, 64112563], [96777596, 29912281], [83574537, 57199023], [10974447, 17296603], [28466020, 11611414], [84065214, 66443841], [6219848, 41889293], [27611470, 10904709], [4050138, 70393257], [36751483, 52866099], [1441483, 77059502], [80622945, 36422098], [45968936, 13078087], [58842586, 30083631], [46000143, 71120267], [92420325, 14095442], [36138119, 92228788], [9506235, 28475488], [24180758, 82063034], [25760742, 94687189], [75696997, 57431384], [77311989, 178572], [17726296, 77978358], [58864982, 75400552], [1769773, 94449517], [67156490, 18360966], [17439749, 71246803], [93149738, 6201565], [56668574, 47627125], [12453273, 15773452], [57408748, 20754658], [91815682, 9277427], [13639783, 80358654], [80252584, 13137244], [39313571, 94548323], [93810668, 66710992], [27554065, 47158489], [56155722, 40039159], [30457237, 54623451], [41232684, 99820071], [61870595, 80837787], [51004482, 87960271], [83279140, 53091891], [39297584, 48158705], [98203193, 51916886], [17130435, 95314168], [1770055, 52219207], [46083061, 67166802], [9168995, 33008647], [56920571, 85665405], [92166781, 64002058], [17234049, 62034059], [41986839, 50413872], [14468866, 55150285], [78168075, 78375051], [24034112, 51373875], [41347017, 30650876], [1458510, 39978274], [65222070, 35813641], [84929709, 61324569], [47568922, 54289043], [37657026, 65833472], [76809359, 19277560], [29221199, 39617888], [63046120, 46696591], [49954763, 79044840], [25593690, 26408433], [79086874, 80769613], [14103625, 85724242], [27121377, 2024060], [20600922, 27788136], [67145071, 13186787], [69992836, 19313762], [6720448, 31976739], [48634132, 71649024], [30561786, 80252593], [53157535, 53676186], [74577554, 79106600], [49664305, 70325933], [60217219, 4461297], [28210688, 36805039], [82097037, 78127690], [13935965, 29325530], [20954676, 91142958], [41625397, 51841225], [28808700, 23010430], [46671808, 85781010], [6569940, 2674245], [18235040, 79291733], [65974180, 33838897], [68538399, 30863703], [55829136, 88676910], [71924690, 31952511], [15139001, 61475449], [21094270, 68922298], [40137875, 2460251], [45383103, 1906342], [36354509, 93821177], [70995134, 13021512], [21863371, 63879715], [89176058, 9001582], [47700857, 66803254], [79036748, 5985064], [36729560, 53356717], [18333054, 11689501], [88367717, 41700287], [33742317, 23157815], [79580642, 4838996], [23489084, 1649934], [69479634, 29457208], [47012902, 89824230], [88067182, 88027471], [67517592, 30665068], [69467796, 39974922], [98965353, 97006424], [73517811, 68766078], [30759081, 37899313], [2810948, 43626314], [80433385, 37263006], [10012994, 93771281], [63140498, 20723203], [42677635, 93394746], [58460147, 45484559], [54408990, 93018958], [17765838, 47897952], [96812387, 65469183], [8660055, 18725771], [12966287, 66770087], [70904182, 87081153], [52472418, 65182148], [54990355, 57232407], [48621093, 49439573], [78210849, 65524431], [33944066, 40673646], [42556116, 9816674], [87150032, 44687359], [61854998, 64186380], [31853023, 85835600], [46154721, 48202239], [19741526, 96304314], [3112847, 14517315], [98964171, 8897537], [80302896, 94724640], [97532716, 87102653], [64207072, 55286396], [30905500, 6076780], [96438572, 3275709], [26744882, 88354304], [67879793, 35152595], [83517781, 20226590], [98706331, 70059216], [27503164, 39168012], [51751071, 3578609], [97013299, 12980674], [76456778, 19142304], [42136265, 78385252], [12076191, 75419098], [72925349, 35720363], [94256003, 86131851], [32120735, 75217657], [60319293, 69179390], [85090312, 46023244], [9204862, 58293318], [73549935, 15767887], [61363065, 87342122], [193331, 93211833], [6895180, 31922676], [39367648, 11007675], [35182634, 43972104], [10037121, 46320028], [42282814, 1778696], [87698592, 97851467], [45190256, 31819138], [92431785, 12393921], [49770599, 51753219], [12321870, 23648024], [64820504, 20932640], [74155875, 11836785], [26757828, 76973289], [14573386, 15689716], [92178750, 64739442], [61097411, 38674639], [14276790, 85488742], [4358144, 58153200], [605907, 27618805], [50237228, 96512282], [42137646, 97274004], [78671020, 57898127], [25564181, 98917754], [98911427, 53669505], [82494009, 71377275], [93172912, 37723649], [83727542, 17614426], [67419140, 92286388], [62756934, 14428925], [75414599, 33234808], [8689671, 21855739], [84749973, 59410512], [87268169, 35196895], [17870926, 88693868], [56570381, 28407788], [56421045, 63070588], [1936262, 54187024], [39392341, 56790806], [93121526, 63710002], [65093499, 73973603], [84663175, 28929279], [86347574, 72450630], [1771288, 17333274], [10034835, 72609685], [73336115, 80237446], [40431151, 34850028], [17144496, 99730043], [68677319, 16956103], [59596774, 88949788], [40265026, 76390033], [25043078, 51005989], [41516442, 60823686], [12663717, 8056941], [17261355, 64759272], [5655481, 20252516], [92194104, 21918290], [38881210, 46054621], [85876609, 47742005], [82667062, 99524377], [25362283, 9531791], [40715100, 50680408], [91097928, 87716506], [94511013, 92203238], [45176617, 44521517], [96621658, 10105549], [46812477, 5012254], [31296420, 42160186], [29209420, 2808315], [10041655, 94058733], [61563548, 61050279], [77819552, 79968310], [70133490, 68620154], [56569322, 35090275], [87485831, 43610531], [6384573, 64601131], [85017147, 92050997], [10480088, 67748561], [51677993, 49241376], [33184368, 83132579], [45879676, 52964121], [9600768, 26898390], [10276765, 5492271], [20653704, 92114218], [87097558, 39686395], [53614605, 80835876], [73823846, 49640606], [28953270, 75359658], [1421841, 41018606], [77992688, 3810922], [57991960, 64078964], [29332544, 6143565], [67495927, 16406233], [86106352, 54137536], [77643378, 35187051], [42410396, 67257862], [91099869, 16284467], [37587114, 71459639], [52819447, 16953572], [56507066, 38597081], [59564453, 76749439], [3137447, 27349968], [79122362, 85031729], [6854450, 7604101], [71166254, 22617360], [49868416, 75251778], [70796035, 96053239], [31035395, 55377757], [97365570, 93531058], [91170582, 1909001], [33223506, 37426559], [76414468, 66918539], [82644165, 8992471], [8719654, 81534218], [14199727, 69834702], [48291591, 89412202], [35040018, 72407128], [19902420, 70145739], [20589291, 89901640], [10443602, 20694733], [35414492, 36456111], [41135291, 89491825], [324566, 51623298], [65485847, 78558867], [19287592, 47424058], [98821154, 73977822], [5310021, 97074730], [10831755, 31926716], [55947871, 77756875], [92773464, 12411087], [31906029, 45318775], [14093589, 23178081], [1972455, 70239138], [73908900, 94399460], [94391777, 72964255], [9091375, 57518140], [22860498, 5451016], [75170712, 28769604], [64330184, 39942985], [82255538, 65231056], [99014329, 86935662], [11000464, 1535047], [70541840, 58139646], [30645023, 29823955], [37451169, 32552881], [38696398, 50183426], [36030840, 33584243], [30026188, 51954055], [93404769, 12321188], [4363889, 30292205], [92434730, 58063571], [93067739, 89604924], [91449254, 51635535], [16199989, 83355607], [98687428, 86293622], [39396490, 65933389], [6521402, 92453025], [13421784, 97059725], [22475358, 14414491], [26425567, 47963863], [31386148, 70833282], [7611156, 73326047], [28845162, 15738230], [30597474, 66796641], [18095439, 7207925], [73548904, 95220082], [58693316, 9828728], [6245649, 56927149], [98093571, 64098048], [80707550, 64244696], [15019586, 32956396], [89740179, 9268168], [41574064, 56963614], [12899714, 99255732], [91474069, 9056090], [49925561, 95206055], [2509953, 98158945], [93260168, 24430483], [90282526, 13010232], [38431240, 18927107], [52511978, 48556921], [28337351, 32980546], [54129065, 97390922], [28165360, 32507746], [59533593, 11898501], [4977515, 34864448], [7337792, 9539435], [76665597, 84306563], [27335237, 50153298], [57493074, 66079552], [3748257, 31388642], [87981354, 64721309], [18554264, 72853702], [6890671, 68532217], [41424118, 20925722], [64749749, 89708542], [70920893, 11806860], [905535, 65327430], [84318808, 53660293], [43322539, 32593081], [86037800, 29573284], [56514360, 57887029], [69134260, 96141112], [44259617, 71159068], [6301885, 85358271], [62233584, 33262650], [21043504, 45354909], [10043541, 82021691], [53524914, 99779984], [29307342, 80561766], [67881663, 34844845], [73769020, 85161062], [81323404, 75707945], [10027440, 67018362], [1408988, 20748944], [37459407, 74093032], [21486308, 70063138], [58468624, 83927870], [93481871, 46788725], [32228433, 32979933], [10003289, 47748282], [58825783, 47730059], [88216827, 94221730], [47494458, 52403254], [32617517, 31824877], [20302684, 64443243], [17091536, 25927066], [25970635, 30222580], [44675769, 45142209], [59063897, 97455666], [98747137, 13942784], [42517214, 27885690], [49097708, 77468185], [44581671, 78353392], [75225813, 82905621], [77889182, 56657427], [9832048, 83381152], [48758594, 62300051], [56039324, 54995960], [3662604, 55327987], [36812543, 70907892], [97083039, 15927757], [88392858, 51605431], [86419857, 21265522], [8027820, 42416242], [67063136, 71171747], [41795452, 51987953], [67241403, 58278905], [10678856, 53407212], [20420882, 37446677], [72251738, 40531887], [54116260, 56479370], [16967069, 68995174], [53866371, 44794806], [34509000, 21352634], [60031140, 27943114], [29125159, 22487305], [33497868, 26401704], [5379918, 5979328], [57605234, 45951060], [80989453, 77536078], [14992424, 95393743], [95271439, 52146172], [95694752, 18314087], [20983894, 46825203], [83026663, 16197520], [57902192, 41544388], [77975313, 46712103], [92159521, 91770368], [32337986, 10875722], [49647104, 4912790], [95583606, 62518401], [83852641, 82916187], [51755445, 11324030], [25410777, 34595859], [32613455, 83963200], [44602985, 99676759], [23792667, 11596048], [81456408, 11158730], [51394562, 11051877], [27139219, 79373879], [41762260, 26426221], [79592252, 48373152], [70510585, 82976694], [79473209, 44734646], [98572659, 29711077], [92102285, 94462379], [69472936, 14360430], [50298188, 64530105], [32939923, 30974], [87820576, 60718284], [64231923, 57729370], [52484980, 41516439], [88860809, 82910145], [55187696, 9331947], [18582728, 17721086], [1767252, 56198451], [17295457, 68004551], [59540672, 75267331], [73369421, 65676560], [38618003, 72564238], [15011737, 12650663], [15633301, 65394049], [53157680, 64427249], [8910544, 19920614], [18132120, 51042273], [24458158, 91655646], [61480899, 71884522], [59849706, 69458013], [85696547, 88025932], [32197023, 48453740], [88804831, 69238177], [54321200, 42260328], [10175958, 60175175], [85438982, 15376563], [50981524, 3589493], [17780354, 9545608], [18154310, 66761750], [98832734, 34929970], [46106578, 38604562], [5438202, 67275976], [31267591, 83491634], [59741800, 92117130], [46976153, 70057747], [79341082, 56307494], [3868050, 7097615], [79620995, 38590171], [73527520, 92695476], [45873749, 20893181], [43623213, 96867450], [51716427, 33188232], [43726931, 11486303], [99657994, 17207285], [48029811, 58093163], [94431290, 91728077], [73456990, 39207100], [91820726, 80873003], [24767320, 71518203], [64727167, 55532259], [95431109, 27713264], [19388721, 19250777], [47073174, 23187243], [28223091, 89229846], [45388146, 6275436], [52619123, 30460952], [69441267, 51587610], [90449586, 79187039], [59603764, 27589035], [71141125, 37825586], [48205023, 47861817], [7188373, 90805442], [73523651, 58374451], [74562888, 57586049], [50285062, 45722058], [74909624, 22756497], [57879114, 49997164], [28676041, 85830845], [70431177, 13813788], [37616233, 77388823], [27052078, 93073610], [33803868, 70984037], [39815609, 41039976], [25695519, 34227297], [93337381, 54233673], [27382639, 22660976], [15790212, 2977144], [9931019, 72517407], [33869827, 44568476], [46460464, 6956337], [56353571, 37877277], [66347408, 96117784], [17312275, 4532000], [98509199, 32662291], [87021052, 10680176], [54671149, 93857520], [35791195, 36325201], [11540880, 51443157], [50596332, 72177359], [9290042, 37176472], [38829510, 45217058], [70311669, 30080240], [64125943, 41874393], [42935345, 29635549], [74276449, 80557013], [69125935, 3593315], [8516728, 43784928], [69541740, 29662928], [35818591, 39899628], [34599357, 28021359], [25835659, 37141544], [49830203, 43521454], [2282907, 48021924], [94571164, 70930437], [53334086, 11498803], [26141834, 62519411], [41772749, 71426959], [9715694, 6914273], [65214846, 42265266], [46156394, 64284085], [1217516, 18896476], [14868729, 23925070], [72688234, 34061493], [44580151, 64068947], [13439551, 6878103], [44916886, 9915533], [48079048, 50473752], [58830247, 98738423], [28219018, 31100520], [37731126, 28910977], [3767980, 55443849], [76348705, 32915158], [34550190, 55785213], [47953356, 42457557], [82249606, 87927385], [3472325, 45144462], [1568364, 98233747], [7962458, 51128271], [26797571, 66776130], [99891145, 29761915], [51214235, 17064829], [30748473, 17152922], [52700035, 70744488], [73625660, 22829822], [32626125, 77063241], [46139413, 41756746], [13676210, 46219084], [46286798, 97762157], [38394287, 45279590], [39464515, 59443785], [43784172, 94968358], [3780027, 14807033], [54395749, 92408213], [84272529, 13305961], [49785165, 35994058], [29567311, 66440003], [73203365, 39993757], [23671823, 93290354], [77625467, 17416592], [95360146, 35314974], [84803766, 73568486], [6284546, 80352918], [63024770, 58199429], [85194128, 95449030], [35395191, 72963457], [76740418, 66023654], [84928521, 46233798], [63046663, 4800217], [93096038, 98158636], [44510891, 77969059], [73695049, 66426920], [61511920, 69997318], [59479275, 57877091], [27490835, 35766186], [64711543, 87614360], [14517175, 90090985], [9376117, 85339440], [14865416, 24844273], [82087650, 1040764], [86501430, 57977296], [53994978, 42429578], [49750341, 59521015], [15106024, 12154864], [26903534, 48476507], [58705425, 33204376], [67704352, 70877407], [21130646, 60770294], [91424219, 85847790], [99007520, 90600102], [65302616, 21481063], [83982920, 84720091], [18948259, 7725408], [30273148, 93498032], [19510569, 56570744], [55178054, 44127871], [89551940, 82005364], [81327492, 13830205], [35013023, 41198861], [79242750, 84492204], [38289649, 25128067], [13757307, 98763612], [62911304, 14855868], [3764108, 93183992], [91305788, 92732176], [10790963, 77674555], [43481664, 40363233], [48488600, 56342165], [52927673, 58803563], [58097931, 57866930], [72083513, 92706514], [43905789, 70362374], [91835553, 87219578], [19606302, 88164753], [89486877, 11492019], [35797561, 46010308], [15943526, 43369665], [37857192, 64261368], [80218233, 21986629], [21477450, 5313111], [68604363, 66743205], [6719999, 3325068], [34554406, 16627080], [72212156, 45664364], [90936054, 73130756], [84855670, 10175336], [21464212, 61669354], [21006762, 23601632], [22121404, 61956969], [16610232, 89733001], [32883243, 18478959], [71886947, 83766988], [16555743, 56404433], [32574171, 67166541], [17984212, 75644348], [68397483, 22074040], [55588986, 16865005], [47005685, 75666263], [73360274, 36356524], [85082391, 31880451], [70668302, 18925045], [21297248, 49449587], [53756691, 41491142], [13840495, 95045016], [27308166, 73322885], [77470105, 93803349], [97026150, 48389285], [54522091, 31999324], [68451437, 5450132], [29025945, 42120412], [10244675, 53069351], [48894931, 9278898], [83592634, 48801426], [59358119, 4908052], [41953013, 13440150], [68263951, 91285353], [3220170, 74542304], [96431778, 69552982], [66080266, 10180853], [946807, 16611910], [90482867, 42378192], [28801227, 63895741], [3026022, 72390427], [65700295, 440183], [15596937, 77089992], [60342410, 82364789], [96238709, 87938215], [63986787, 8040207], [22516092, 45933417], [55110158, 39225333], [63064508, 21719338], [32027233, 2986734], [38050221, 19759759], [72679043, 5950799], [44300146, 56943999], [41223734, 60076187], [68344532, 1311677], [72838600, 39176591], [79006525, 15199352], [69100918, 76389868], [23739649, 98553424], [6341402, 6136747], [11095811, 2382567], [98889085, 97101499], [52504568, 98720369], [41835715, 51028813], [26162936, 15871926], [82993503, 32906924], [75150388, 62331956], [35611828, 40937905], [28379591, 35738713], [66234290, 86205536], [5445718, 14731715], [29073735, 92817169], [46280838, 25307575], [29158974, 77087881], [96994736, 46786797], [92348107, 10100925], [61892313, 4994912], [82870395, 94741468], [68330584, 84835702], [96881793, 62233605], [48050627, 89809923], [22462434, 51234448], [91058732, 12390616], [26014156, 89284502], [31555970, 1726382], [96798237, 34574724], [41731629, 48963972], [82519223, 10452936], [34060692, 85391051], [61897363, 59722332], [5018210, 34335095], [7609057, 75767169], [88623974, 77968646], [91386800, 92074354], [50741263, 28104647], [18558471, 37800705], [15158346, 17215015], [97969477, 97431511], [43316735, 5301297], [42297158, 82889659], [75242796, 99312945], [50808917, 36279747], [98234006, 48306346], [81180812, 64873315], [98028975, 16705769], [23385781, 73471062], [64789000, 60464827], [23315838, 68283615], [73645187, 95247612], [4963075, 69348955], [94838126, 3522914], [29608510, 24825139], [39861673, 98165656], [30506678, 6327064], [4061051, 77825226], [28489574, 75334688], [81610751, 14219635], [96323022, 20745300], [19315666, 78663000], [4653237, 25154076], [67365231, 31304013], [94145545, 8900531], [67205925, 83803304], [57545988, 63288031], [57057451, 79524539], [72246062, 72177637], [79241318, 12277199], [74500081, 90780223], [72925616, 81729763], [8681884, 70400662], [47858218, 5507493], [31102957, 59360741], [54193029, 17524557], [14861665, 13154416], [19238010, 71957727], [81861885, 81601996], [27514026, 60705449], [90755389, 59146763], [53547209, 70656754], [79989367, 2070508], [70425205, 23959657], [60269512, 40127548], [28546343, 51723152], [2647765, 19717137], [89720892, 89344136], [23813405, 66859995], [34306472, 16694671], [85072478, 24440112], [17856594, 38664110], [28490637, 76951516], [4705768, 13270011], [91444593, 45520981], [99983583, 29648485], [48595571, 2936293], [79583250, 65930045], [7772920, 42840147], [4473588, 55252897], [95091930, 75724712], [38595997, 19964545], [36009982, 28740647], [16200686, 43593054], [30845301, 98045876], [30083288, 77077494], [22437192, 57616918], [27997193, 29016626], [35010846, 50927897], [9949300, 77078202], [16052402, 57463702], [89234021, 1482518], [19320455, 84444045], [58118904, 83715385], [20306921, 53326047], [6792176, 8052483], [72227033, 18626880], [17494634, 22443179], [14618473, 66515690], [51569827, 77617958], [97550385, 49239696], [28238743, 50258983], [45744575, 83176835], [98513273, 20803621], [6247346, 54789911], [2425246, 38033779], [88224489, 85215853], [7398959, 39849846], [76860918, 65034516], [11505463, 90787876], [50843005, 87369046], [36103709, 16209471], [95422412, 19755913], [83177321, 45400669], [384316, 17090675], [51328071, 5345346], [24023493, 58975284], [313057, 96110481], [39150580, 78803628], [51068415, 36220282], [68511410, 97076353], [74899693, 61846249], [15135711, 68640399], [3803861, 37738676], [76563266, 50122044], [74346774, 14460654], [76336922, 48155939], [47085075, 49107591], [56215029, 20805348], [22804271, 48788973], [82766877, 90649311], [31115310, 56155551], [51444114, 38354341], [66148168, 3876073], [7399454, 43078588], [89342088, 15301384], [66022059, 52653690], [27649933, 71997787], [59649723, 23236340], [95266055, 49662353], [52600821, 90075839], [48445671, 92113831], [43157146, 68010234], [41851658, 21068606], [65131793, 6055140], [84284363, 22222037], [4701937, 7302883], [50655021, 93077182], [54085478, 13774191], [83026007, 82172556], [62511338, 84852139], [24287280, 78615658], [80808160, 5937587], [18694206, 90494030], [34055416, 3458587], [31295006, 45288019], [45191492, 65524240], [36069112, 6245677], [50484390, 1821069], [33554105, 59386173], [43092743, 19507509], [72178735, 96208090], [9852246, 6392757], [14711814, 73117929], [80537126, 54459801], [49795910, 14799798], [59305080, 49755781], [66951499, 65422572], [41574603, 37946850], [90768534, 50593618], [46843856, 70600782], [36408885, 25379376], [58461867, 13441866], [57991345, 88138380], [66592751, 41568636], [80932169, 91987171], [86830681, 41858557], [39537080, 314738], [94945748, 1122846], [43047553, 87139590], [49367589, 69597929], [6592103, 12903539], [77413243, 20234320], [56252298, 70700776], [82705582, 86074064], [13731558, 40413334], [15700064, 67521052], [68115718, 60289947], [83918440, 66123292], [89411272, 554423], [98216804, 99530071], [81223050, 51755843], [49535182, 85581494], [37998430, 25501412], [19345983, 79501035], [23528537, 57923237], [8463985, 58778088], [97140393, 14834707], [30758837, 82712376], [26865851, 80082380], [48554276, 44001426], [73260853, 78280885], [17338926, 33898871], [22099496, 60252210], [28787383, 77030126], [48171351, 68208992], [88373416, 95792561], [3927695, 76322348], [94591550, 43195463], [68026808, 63785470], [88846904, 65091116], [4259944, 11439072], [76305925, 49486920], [89476957, 88538858], [9497662, 44616339], [56495078, 51141215], [14765200, 58247442], [60352490, 16700917], [6616106, 48117575], [84677748, 78586108], [85352967, 93247755], [41460668, 27382765], [87934264, 4439229], [44799792, 23369731], [65272157, 72706477], [59079196, 1348167], [30468222, 51677063], [67255742, 85200914], [94162843, 60117519], [4308629, 31925969], [43383271, 61375555], [25340630, 57061356], [72980895, 4952148], [74659520, 57113527], [51466563, 44758769], [51507065, 90805411], [32991874, 10015831], [42668092, 8825888], [92478536, 46482132], [35059645, 14548925], [17862089, 30757944], [71769853, 36065308], [58807989, 70296615], [31520158, 15862583], [16224959, 32976686], [24194547, 91533120], [49875009, 84563829], [70326181, 8130148], [45032007, 70293808], [33915469, 55998426], [94132696, 30682006], [23033181, 2458517], [44147101, 18400332], [8997382, 39901039], [67732033, 22195854], [70133630, 28788864], [7461931, 913385], [61663608, 2975873], [44097782, 55694987], [8763664, 80021625], [70930432, 20513126], [38072109, 70037748], [32514847, 37248859], [85638986, 42300018], [41775942, 65347468], [39360411, 69523075], [53723874, 55693236], [92012637, 40583447], [18701573, 83996351], [55537689, 98413387], [75060090, 91632181], [85405275, 45777415], [36922343, 71223028], [88503967, 18537314], [25231646, 28356387], [20577679, 3745839], [25260343, 37796592], [45594967, 88537425], [70402849, 42739182], [39864974, 56297617], [51809949, 67414622], [18943071, 65080127], [79195943, 90025235], [43023045, 90055035], [10729804, 61460322], [11256779, 83402703], [76241784, 80650734], [11463849, 20552116], [4149977, 5743480], [1520025, 54540479], [9218484, 38311779], [73111600, 5158273], [99334251, 66841141], [59733412, 58362436], [15734497, 88291013], [47214793, 8005570], [84358540, 5908281], [49912755, 7985928], [35532469, 12458844], [29569465, 31051105], [24574107, 80129654], [52621527, 35344476], [46186477, 69672552], [28995976, 16009697], [75970639, 64779989], [59422577, 33175279], [55626441, 52601981], [76000437, 38812786], [44349127, 53632366], [42707619, 27364181], [88732751, 71580672], [13596751, 20317977], [61786347, 70108273], [12138647, 30665407], [47762584, 80219357], [6387135, 75402410], [74948549, 46183669], [72388742, 57066067], [33167934, 37167037], [65809907, 85366906], [6146213, 65284833], [42599110, 4904047], [52707183, 53289052], [64026106, 98264148], [5262628, 17229704], [70031243, 48164505], [44727533, 94903545], [46353096, 57401361], [72886222, 62463204], [11989820, 89474960], [79612725, 54574002], [75654381, 22206735], [86411029, 94121468], [92808618, 98731568], [73450779, 13637263], [51385456, 95605662], [34015179, 50929958], [13035485, 83633996], [2278209, 75752306], [20164006, 33511000], [92872757, 81840332], [89672506, 3811200], [81297891, 71981857], [45673517, 13160610], [36750534, 70018635], [71356303, 11740720], [27193333, 39002823], [87490604, 67059974], [54877666, 36199038], [80704892, 67676905], [68408779, 55385064], [78412326, 32641946], [70260491, 33489712], [44483872, 71777080], [50511868, 43401592], [2788156, 434263], [31530843, 39086819], [86833509, 81464958], [64819793, 36634234], [49003115, 77338898], [82399216, 9314122], [39298939, 28020752], [1069339, 2413131], [44530507, 72848562], [17125128, 60369004], [80218044, 26305957], [73398479, 19881397], [53678154, 96418306], [18877798, 68415447], [54373794, 26490832], [7225808, 21563662], [16948247, 69477124], [16814436, 9984416], [61173360, 66734609], [97785493, 66599619], [29800469, 12275354], [14621189, 92213673], [89246335, 95407660], [53393020, 66475052], [95339410, 29950443], [54578612, 66665157], [24052789, 92581234], [88374931, 57330817], [31510357, 45636046], [97247008, 85452127], [46291418, 90201539], [20403247, 68855649], [63259439, 28962891], [15061501, 98596911], [36971171, 63512569], [97088668, 18379753], [44016392, 76049903], [45417749, 15720782], [344550, 57282073], [91788195, 8779950], [35622917, 30712787], [4764000, 44041244], [53872422, 22526089], [19837350, 73769094], [36036461, 34860175], [7366809, 70949223], [41462463, 35971437], [86683124, 19676093], [15803734, 46934991], [1385100, 92810178], [34463023, 53305284], [68513081, 14374672], [60640960, 35589463], [17488707, 27700255], [78544280, 13509674], [29068283, 64186411], [37494538, 66478590], [16634915, 74024045], [98194799, 51746913], [62467100, 31698989], [7715057, 27683331], [18132571, 20549318], [65734705, 76236911], [21123710, 15367337], [93680574, 72827347], [7951959, 73287371], [81499950, 10510747], [63935345, 23326150], [95899509, 13076782], [41748857, 49082593], [21944787, 64439838], [86931833, 24940392], [37830254, 14486076], [53792601, 57602742], [64074683, 51539145], [55019678, 73387066], [14040246, 20018694], [53200145, 48028637], [6243798, 77325536], [60425974, 62087099], [6745887, 26410623], [87796737, 33683881], [16451996, 440496], [33527303, 52348], [96666893, 80478558], [74549797, 63699769], [15123852, 59902071], [95564405, 62094509], [59535169, 40883882], [86687105, 75882430], [95373706, 5821170], [77860056, 63902623], [62348725, 70764364], [16506157, 22798451], [66825817, 52091730], [15534104, 78128736], [78602704, 61262979], [69356326, 58555346], [18739734, 50664180], [22173972, 76230766], [36959343, 4313707], [21396743, 15008179], [15283034, 83237223], [94142647, 19634256], [99145080, 17784733], [73567351, 88710216], [94109105, 8695056], [44996112, 32558428], [78879846, 41170125], [4206547, 9218435], [13691845, 41627014], [71342129, 41180699], [8300796, 13605281], [38263223, 44160795], [9331685, 44796367], [75784314, 47415119], [95069275, 87308434], [74960499, 97060005], [61636431, 44178544], [95262517, 8254181], [51229386, 98512107], [24794962, 81023464], [21153924, 11837036], [87230776, 66118458], [39002217, 38058941], [82755529, 58582158], [40962805, 11047488], [49252530, 14010928], [29809997, 90128069], [81766820, 88456688], [51672349, 84242879], [6160735, 73386524], [67030690, 40730042], [1905333, 96582873], [19202036, 90350557], [49152865, 90873285], [61124160, 49517246], [16754194, 22785628], [49466232, 54001236], [78546593, 6694160], [58478837, 25229343], [26131539, 97978348], [8493460, 58782304], [87358812, 1591375], [30777210, 14004814], [80420601, 53219272], [75958808, 23406000], [28413628, 42793456], [98518600, 92317428], [81425638, 28981468], [97338840, 3920366], [85228336, 17468930], [8693502, 5309560], [91706065, 34126684], [74957491, 22277200], [42426334, 66039045], [31859196, 69471756], [42922934, 47087469], [83973248, 13180437], [45736130, 78331614], [70706004, 52697598], [39247510, 96439045], [42559746, 2018025], [56335677, 59485459], [84568070, 22862241], [41075529, 67595758], [94259609, 23241762], [23208693, 39071457], [85240800, 18586632], [42200623, 60108231], [59313379, 6639596], [59892073, 81641156], [46378318, 83873987], [46218941, 8201032], [50409924, 15212559], [2760953, 17589359], [61036555, 70503640], [15687947, 25771378], [39826863, 58586501], [28488221, 63875727], [7034752, 15346235], [18582351, 96763668], [78635946, 69580804], [39659931, 35752486], [64350765, 45487826], [96116206, 2011734], [62811021, 5445741], [68659486, 95634720], [70584221, 58596909], [15340395, 84951043], [7462034, 57675796], [9854758, 80931577], [5324453, 63829482], [23774016, 49726164], [60689197, 3892524], [48391629, 91825614], [28209394, 79475484], [43822869, 38228113], [13588870, 82379066], [79493152, 45249960], [61040098, 31155427], [64592311, 80764245], [4179290, 7653113], [44672818, 21198203], [27467396, 53889936], [91970112, 55511482], [39244854, 36841774], [81227819, 76701661], [79635211, 34049055], [76106751, 85931296], [45808399, 45245640], [25737562, 49845525], [53585887, 78770215], [95947019, 15687122], [3145505, 22684317], [19606485, 12587842], [96076310, 42923642], [15097879, 17796651], [21879456, 5593631], [362748, 41056363], [27169170, 28933891], [40245380, 33277203], [51096056, 31865828], [60900678, 59018065], [48070643, 50382590], [97560568, 80496935], [9577582, 55635611], [96146651, 25531397], [8206642, 8001864], [21265062, 81507618], [47470695, 27937846], [81720421, 57283592], [78818699, 41493714], [49463971, 97638997], [93718947, 67108938], [1672502, 60411136], [1526010, 38968408], [82609792, 53492963], [12464146, 37708233], [15621255, 84155560], [48569637, 81482095], [94482037, 89336522], [32467928, 45316302], [28182723, 73445154], [44013364, 71498184], [77871861, 43516684], [35446933, 69784412], [24941865, 88234462], [95451002, 25302223], [15768393, 29253572], [76785003, 36622105], [37888518, 80106094], [90823478, 66544040], [77103603, 46892462], [64680439, 19348857], [49832316, 1392856], [59982005, 5015673], [95117556, 98582357], [13064974, 30359753], [62206335, 30859070], [22425412, 25619809], [54474833, 96529384], [89831933, 45874469], [13690641, 79344441], [39769018, 81562121], [74046029, 47788283], [39362404, 93061785], [13166039, 21591385], [44375449, 67128160], [50664881, 24034008], [36343939, 8561434], [14407650, 52666954], [59908964, 75769816], [27781285, 22570882], [85192113, 96345275], [5590236, 16574716], [19598207, 56453410], [47315915, 61071044], [54616736, 51140309], [27145470, 15556367], [31620035, 67516924], [64830966, 67890467], [31081453, 92476230], [58066886, 47473103], [2903867, 22361786], [83176276, 43864144], [74317359, 14573822], [65364094, 49687564], [37067207, 63376036], [85038819, 72567481], [93727365, 66642268], [30481537, 5887262], [43564917, 91660126], [7568765, 23327737], [67766393, 73158366], [46199344, 95855495], [6559311, 29219120], [75687520, 30480840], [16927851, 14775606], [60663003, 12508794], [642614, 31620774], [61183210, 4387523], [78898295, 43415150], [23230085, 56243157], [41167814, 71484001], [21477530, 62915362], [33005765, 59509865], [6679139, 76208573], [50108098, 72325075], [3418369, 55047442], [66831589, 87180156], [52953153, 20466562], [15914820, 15070367], [15063608, 25106608], [16577471, 21819529], [41979450, 99250765], [51575639, 44940852], [1856676, 92608483], [33462496, 35268342], [90822481, 7700637], [37180125, 66786937], [13582702, 88488338], [73757033, 6675862], [38051208, 44374534], [20070352, 12159827], [79253639, 13818298], [97529640, 95732516], [66094932, 95750162], [95759612, 61261992], [11933801, 34622692], [9308341, 85457049], [51413940, 16286795], [97436059, 53952563], [55606644, 67555788], [23231465, 46604628], [63928883, 37703589], [3867289, 63590179], [74457026, 89899224], [44811363, 97303793], [50633841, 24118912], [19150130, 52129671], [69174470, 31017541], [80281480, 1605057], [2404871, 62602575], [921842, 79959676], [63954057, 69016254], [68467100, 43586359], [21143447, 39439829], [74680763, 64404252], [98942610, 80530823], [28693590, 85621923], [51605054, 28596464], [92733875, 50293963], [70302543, 63346097], [68267149, 96418523], [63365117, 7562630], [48403573, 59888740], [807238, 26317050], [37884397, 7847670], [6964444, 70112080], [70079200, 39368619], [99217514, 17934235], [82395013, 13907575], [41345207, 753018], [93615798, 13227075], [47818856, 66622402], [68818916, 43155626], [13345669, 25076733], [57584482, 42497745], [76982139, 94363007], [50638986, 74719613], [53897985, 56631731], [29352424, 88827996], [72140801, 64065130], [27407746, 93110619], [727958, 51900490], [22188382, 44480325], [80491253, 59670124], [88346988, 56037301], [12063322, 65972735], [6967834, 15020675], [65682333, 15370972], [95966070, 30478508], [96900737, 748725], [97691252, 6701890], [17933265, 49223722], [98665460, 99550805], [75313974, 14710143], [33452623, 31405055], [47331213, 72475541], [72847218, 78889260], [14181764, 82367989], [78101452, 74542118], [23133052, 43536134], [56312112, 29240545], [96412400, 13952841], [3803323, 40869487], [67222948, 43979472], [8626819, 17429100], [1333726, 63999424], [73880211, 98100987], [71408568, 45391419], [33742942, 15354715], [19785124, 63298402], [26886303, 58548098], [28308611, 118912], [53978953, 4462776], [53471532, 66413454], [53978818, 52887239], [42070377, 64590502], [85943016, 58548608], [49189419, 95637360], [89568610, 46439241], [68501369, 30953373], [68489282, 24275043], [30751110, 54483707], [34778500, 84306219], [8730334, 1133820], [35792163, 94065553], [57495160, 73510381], [788168, 13829711], [69281683, 36126482], [87515476, 76678420], [77790149, 97703706], [41430981, 17540671], [33524828, 63822234], [63279617, 67399478], [87989249, 99420769], [28557344, 6404914], [88022897, 86211068], [33795853, 86007633], [11418553, 76370954], [10539873, 36762984], [6887853, 24343749], [52178997, 18267108], [53535609, 36939557], [49276100, 38029496], [2139158, 52956664], [99823746, 93023880], [51443125, 4378597], [19128133, 4210642], [91295527, 8742813], [65367868, 95342449], [76874893, 98729032], [15194172, 97456709], [79487739, 25756010], [3588646, 98784927], [7830073, 4763840], [56430166, 84991082], [51054780, 7584162], [78646700, 3231537], [80996404, 13176692], [83374193, 50425753], [95495943, 11819144], [85143647, 11581748], [22934036, 79551504], [32269434, 33699040], [15427679, 83193310], [96592946, 71748454], [20298029, 2416613], [12983580, 74319136], [9306495, 52993247], [59039584, 95373977], [1271017, 89542512], [8562807, 7664681], [38574326, 17175120], [51861498, 74445856], [71153841, 12770033], [51507300, 72385073], [24302868, 7848815], [22266351, 84492291], [8759492, 34705210], [3628858, 63561590], [30825314, 19684263], [33252723, 62049054], [12022451, 4541452], [93718320, 6609453], [52122503, 75373374], [70486862, 56352277], [942558, 96513382], [58336967, 8669709], [46359861, 97047092], [15567465, 19696554], [46960908, 68148218], [73839365, 30305150], [31204864, 40166775], [27177556, 19530355], [95555007, 2259752], [34089336, 63143994], [71829059, 48808870], [95336996, 70573194], [76064470, 82765018], [87930967, 71363381], [60019873, 69528400], [34648171, 60014992], [17180362, 10161047], [1963808, 6547484], [65132852, 78708503], [71132115, 39073785], [90084542, 29163572], [82785723, 98268098], [26837700, 86379196], [36933392, 94009623], [38192392, 73651109], [6405347, 36813801], [24416544, 44414375], [6880987, 29905526], [57401645, 39370273], [17513419, 11443718], [5284470, 11942449], [84587324, 87563151], [28141315, 27804103], [80828257, 58465481], [3047633, 35007514], [82197611, 27321011], [68145507, 30290578], [25214261, 16462860], [63744260, 21751552], [61477788, 45832801], [22684864, 72877277], [77252726, 82499772], [38880854, 21965009], [24513139, 77693820], [96065497, 81489659], [47527686, 62969862], [16029579, 77397148], [61528869, 35146065], [62953550, 67718784], [15872755, 70007748], [4786784, 85243580], [30387802, 66700728], [68628755, 17938983], [55096913, 57088694], [17917833, 76272389], [94227732, 65010096], [25180659, 39245645], [88496523, 43280491], [57303707, 57024712], [9649628, 72754397], [3658521, 774252], [56059500, 6375479], [69922559, 89131474], [73964028, 71202882], [80843619, 46211237], [98020816, 37496619], [93330784, 20534507], [11762985, 60768612], [11512377, 23726705], [97633493, 42376946], [76691243, 99089863], [74357141, 97282737], [44790295, 55809695], [43679962, 82553883], [80806569, 52770968], [97039687, 14353381], [79656001, 20309043], [80197621, 71566457], [10356271, 95265212], [49146857, 97307626], [60489096, 55545551], [29349881, 3830624], [57490670, 96204228], [9010572, 40103124], [95229515, 91293452], [4169631, 29828925], [77696980, 56437288], [9728902, 18325937], [23338568, 21930775], [42295233, 14378788], [71672559, 32151232], [52263513, 76677620], [71521651, 39997758], [66949779, 97835233], [39367342, 38464823], [3773489, 15256876], [49006029, 602178], [97735416, 2706800], [19128291, 29126408], [39949139, 74299811], [70307824, 40278240], [48401899, 45894821], [84149274, 2943701], [28328911, 93012627], [94511931, 93183462], [2716641, 45987070], [74908514, 46796094], [15758044, 98322406], [11929017, 87034104], [21476453, 66814150], [9222412, 10139418], [8574740, 43944295], [30278020, 47822176], [77216017, 61812562], [39778831, 53082051], [26441324, 24621110], [31521364, 27271274], [51479971, 46959511], [6726517, 73293991], [21513205, 32271059], [69631192, 79933671], [45606210, 92215424], [33199470, 35099214], [60667914, 88327539], [77666972, 16770582], [8923774, 89903533], [60866608, 44191193], [87867558, 12453276], [89813613, 43309486], [79950152, 87531092], [50992108, 18286583], [67411886, 5933834], [17584134, 58607289], [19537073, 14418993], [34055652, 59027419], [6230113, 99382032], [44371984, 68906005], [43679749, 30195009], [6196425, 63633229], [25519203, 30474366], [8407837, 9709228], [44784652, 25574705], [40547152, 90576957], [6024290, 42034607], [87839588, 56214140], [45977809, 39900615], [14384648, 46685353], [54725566, 54928631], [60396828, 65913241], [54095381, 58928398], [19366349, 52649669], [77509021, 47784205], [77802632, 42777277], [96248490, 21842249], [38629202, 25267659], [9303371, 42076030], [79142411, 62012432], [14720876, 24678650], [5444549, 44152899], [62033037, 83285931], [11735172, 8336714], [64398308, 57406720], [685921, 1370867], [88115360, 14481821], [5052459, 47807815], [64426859, 11938312], [83055715, 52680341], [1162279, 98981335], [63053142, 95651941], [20512848, 77423180], [47998335, 91184755], [259487, 45902437], [96697486, 53870847], [97236639, 64807277], [65856941, 63750189], [18328019, 32103928], [24735237, 69188617], [83056626, 45596762], [62035317, 70081669], [14209621, 83238285], [34030553, 76273073], [31000283, 80378664], [39308893, 53516116], [60763200, 31819606], [35600072, 19112383], [4189108, 87922161], [51684592, 58868229], [86084590, 10203920], [60825931, 10623942], [52223455, 12666007], [91701442, 96799959], [6086005, 62824938], [73062134, 12203453], [3021689, 67688584], [23564179, 307681], [27275253, 28166608], [99965416, 23383053], [71698172, 42929835], [17638603, 96603975], [50472867, 54780206], [86925440, 3339710], [83733146, 17289048], [15081240, 69904988], [81977073, 8819500], [47112858, 56203723], [42303101, 4660709], [57293068, 87491000], [81288918, 69339491], [4429463, 38008026], [72513919, 39568446], [8588391, 42855607], [71175038, 80812352], [41860556, 60927322], [46189682, 50536323], [82156586, 89105886], [53720381, 46424048], [53472872, 75065542], [35739341, 74924106], [17879677, 92852700], [83279493, 82982479], [20157294, 25044881], [15267429, 37667039], [1877916, 12691119], [26736375, 60220998], [65142648, 99372341], [12255066, 95387119], [83179450, 83614951], [68038108, 40801337], [65538318, 21506459], [5862508, 9204607], [18403509, 15655992], [22156536, 17788743], [71550946, 27470291], [32121805, 78898343], [70583246, 72142698], [54804567, 37796607], [22238984, 67907995], [85017580, 22994323], [46275736, 49074662], [50748223, 54970656], [41247924, 20900090], [60942996, 82820377], [39517994, 4290407], [64614163, 74369335], [20962668, 99339871], [7697392, 22458102], [42263193, 38268601], [81936678, 56527067], [51754553, 26197312], [37907205, 62844431], [48488133, 27725927], [14205511, 9064914], [98722084, 28645054], [82632947, 46607462], [20234648, 40441537], [23985416, 77837169], [58197315, 29284079], [34961524, 98733188], [19261543, 13982417], [60703232, 5928426], [72717975, 1257146], [91312747, 49993604], [50492192, 85155805], [84197967, 10451910], [55920015, 53335746], [57030768, 19791802], [95561760, 11846448], [53156445, 4911704], [16173765, 77865623], [43896160, 67914241], [72575234, 37237703], [32409258, 41457369], [77538662, 43813819], [3198057, 62422011], [21302077, 43754455], [55310578, 3074809], [71843635, 62760460], [8018175, 4543162], [68751727, 24060151], [80261366, 32134648], [13738706, 32236422], [69026637, 27667764], [7688545, 4773412], [57902929, 12953391], [56320604, 20917777], [26355675, 93804669], [7280302, 1404691], [57569094, 59228880], [71370559, 61845052], [11640057, 20942369], [81579847, 66157121], [64948619, 854090], [71279879, 89463688], [73360820, 15485350], [37097421, 62382278], [49827826, 27230644], [49203231, 97112514], [2271932, 33458831], [5801531, 98714820], [11922657, 60083220], [50019187, 74617007], [50701943, 95949898], [15304445, 38893501], [49533563, 72579640], [86703815, 26179721], [37626746, 32231264], [42956657, 51478582], [85075851, 32033378], [74203878, 44184451], [6164904, 11311388], [65347227, 13466262], [33881887, 57631658], [49997913, 6700152], [18584975, 71795804], [50823290, 78984381], [84564186, 9043935], [14461061, 61182707], [1811756, 63052163], [53986536, 48555165], [94490885, 97725587], [19503616, 7149820], [47227543, 88051186], [84099600, 41396785], [83580751, 31713400], [13281601, 56323297], [19702999, 39241399], [36198518, 50952807], [70062117, 57112035], [33369361, 532975], [76578699, 59522412], [98467572, 30613269], [94755185, 86218700], [64632039, 41077712], [55894785, 78549535], [53635812, 81827061], [96665116, 31578819], [41797706, 24315874], [43600984, 13418386], [12031236, 12642198], [13869714, 52501809], [76063585, 21329517], [97097318, 7667765], [16486834, 54764023], [27796927, 57884003], [74242673, 34510282], [40346178, 32133437], [40110096, 11363163], [11544949, 56862451], [5427837, 22120157], [49047465, 11151531], [53383851, 24299928], [36391402, 2520494], [27556276, 96965477], [35759731, 90624467], [42935358, 75995348], [89202382, 64311169], [32044960, 49196984], [28146397, 81849430], [38983174, 98035601], [6582244, 90133668], [11329800, 44889370], [79059050, 97793282], [6022293, 85006619], [44270739, 70390745], [54975701, 25999919], [16544847, 6414655], [51223381, 53569522], [14137558, 43351048], [55960244, 9484102], [86965025, 42655724], [85627706, 6815045], [54157543, 84070889], [99679100, 53685691], [84003678, 10497510], [29256224, 67190928], [54365014, 70075196], [50252178, 72172826], [84788825, 58243818], [20914825, 1013245], [86975563, 10420030], [65470816, 29666526], [6258478, 16311672], [52228495, 96589725], [16133574, 87858818], [73108840, 54203147], [32801101, 29846677], [27182996, 986532], [50692728, 55270661], [48879356, 20882877], [10966193, 16229351], [72414716, 98943561], [38095435, 33433981], [14333626, 87350371], [99272096, 82633516], [33655, 1535206], [19191248, 50424268], [91826939, 5211397], [54841327, 27217362], [22402172, 62526705], [9011939, 18830209], [21586629, 13577168], [57448983, 48102648], [87721967, 92944190], [966978, 76238120], [66707010, 2378481], [76637265, 3412130], [90249421, 3932347], [6382606, 9187340], [88613856, 19642274], [81927341, 6738571], [70390404, 67870694], [90844956, 36754388], [77707158, 35308936], [10799339, 52883840], [64281399, 18543981], [71079224, 59816066], [34097201, 73939963], [55703686, 36000065], [15741469, 2392378], [98834807, 37774525], [1094462, 31387555], [73193445, 2826854], [3753980, 26035376], [29795822, 68670296], [55058427, 34395368], [2596612, 8725779], [16195796, 67029679], [8133955, 16845987], [74327570, 88079324], [82127773, 68949036], [71428140, 55599212], [86360115, 71758842], [38602566, 38378501], [92833634, 32560079], [83035140, 44175076], [79871395, 21145031], [40153274, 39658756], [98339432, 12750275], [60476159, 1270080], [54679581, 16243765], [85295979, 81204531], [22142687, 97833673], [3040205, 83174005], [61519450, 93713500], [82649978, 34544851], [94699764, 47544849], [71126291, 35395236], [95923232, 10367972], [28119633, 12344662], [87995347, 42670538], [21680665, 50164013], [68753578, 87575004], [37740767, 41532795], [5561925, 29680317], [82870840, 8789286], [96536054, 13466857], [70298081, 33858161], [17164780, 9189051], [24304796, 66039189], [78277425, 2038062], [9492565, 121130], [31714282, 49384800], [35719976, 86575989], [17834668, 67916654], [28598818, 94050430], [954749, 38430512], [97393484, 98983747], [20373878, 7592933], [23302835, 29097152], [23476592, 3498950], [30680869, 9901950], [33501440, 40284212], [23141565, 18566448], [25695718, 44635409], [30489811, 96003481], [85413868, 74370452], [63609081, 26332978], [83412157, 44851677], [3996838, 11651542], [13980839, 50155003], [96490586, 19824603], [24506117, 8864631], [65608852, 69005642], [65285419, 67148942], [60425546, 39435447], [86728005, 63660224], [89961827, 68068352], [91511475, 84602090], [24457863, 64587556], [66570793, 55673243], [72774974, 85042172], [79925671, 33148331], [85415066, 72845010], [81938492, 25503077], [4503138, 18605567], [66310355, 88991448], [69133706, 15997843], [87686565, 4420072], [70166773, 43180583], [12241467, 60100679], [10130856, 23471786], [81901038, 44628729], [607282, 31652867], [89317678, 97059140], [15173616, 32187635], [37712709, 46122627], [26528538, 26344284], [21167052, 56211005], [83123061, 79576054], [18039816, 63279136], [24503815, 95108839], [42167744, 22592038], [11734701, 14444173], [35830822, 62580054], [21408439, 61594259], [78219312, 24274661], [18392671, 12622421], [75456900, 83250570], [7015604, 62513328], [26976840, 47423310], [79498995, 55102535], [41994251, 60817368], [96942920, 17875229], [50855074, 17991861], [22892106, 4231150], [86617831, 18990868], [5530963, 76797973], [93220057, 6347888], [10884459, 42899538], [4060872, 35903020], [22073946, 27440277], [69995243, 1262397], [82945240, 13041600], [94827404, 8443371], [90533620, 4521304], [94824149, 16189856], [97269428, 51164249], [90858320, 36076694], [38792735, 27787131], [91600000, 1708213], [21193761, 91873401], [15702069, 77226607], [18717200, 48670581], [7057454, 86847212], [91839404, 5781302], [83951074, 70349464], [2548076, 12366073], [2692180, 41359421], [78334963, 15493242], [1214266, 93870781], [67156502, 55366164], [84387659, 64155538], [92725287, 31510149], [11095383, 80337962], [38104603, 56197643], [18688353, 18262501], [21155629, 97845578], [7424751, 12805157], [93285473, 98322520], [61736875, 83768259], [83576430, 23074691], [17265185, 31415601], [16169730, 5473187], [97187987, 35244331], [94859455, 52533678], [70381142, 28778411], [76044109, 17399965], [68441879, 17473050], [33020873, 22103439], [59202977, 91220045], [59660531, 96868054], [28712522, 29750317], [76333969, 50681992], [18300374, 50492754], [92617656, 74163616], [36883812, 77489796], [21804009, 17609361], [71145437, 76699621], [56452781, 82104625], [87877356, 79417229], [21328532, 59835169], [50518885, 58337697], [46375284, 68370395], [41749264, 5561106], [36899883, 72436066], [1747460, 23149965], [73139798, 44396110], [74781817, 66617330], [42301067, 88683211], [60709469, 76060032], [65530452, 14046586], [37966865, 51864701], [98755091, 2924694], [41369984, 62475891], [69285066, 85840184], [75287668, 37284569], [32814277, 2268757], [36976154, 71794866], [65543762, 8190416], [86373442, 86916132], [2038334, 76559224], [13278772, 45260051], [9122707, 82610280], [240007, 49435375], [22033535, 94280629], [74379643, 90490424], [36890601, 6312719], [99427559, 2659723], [39326985, 35003648], [67746856, 24814501], [5817373, 33493078], [22736106, 56117239], [60375759, 88509792], [81397079, 34204101], [46697212, 70771831], [3323002, 10424268], [1679982, 60752148], [9382614, 90644503], [69521960, 18769589], [74171841, 40817730], [46315252, 66775531], [12029836, 39288624], [84825287, 30700368], [15184916, 22495873], [2537235, 759650], [54093273, 9478550], [15927179, 9556471], [23543345, 88398632], [68341742, 20316878], [3338533, 73831540], [1713206, 92329871], [83362853, 11033285], [30631307, 81363862], [28160386, 91341177], [94867015, 92634803], [92798345, 17059522], [16781276, 39946334], [90018446, 38505921], [22995361, 63617760], [20115865, 24633107], [14756316, 40825043], [97083937, 99208209], [99096112, 75051238], [61586385, 61366349], [96674524, 43202519], [51030671, 32504316], [80476160, 16989073], [71414637, 19679486], [83140723, 53732228], [19982860, 17600133], [2925687, 18085276], [74933104, 95521073], [90801939, 13850455], [51769905, 19509036], [85555198, 50216152], [48930061, 44585276], [54451174, 15713997], [7274315, 3665869], [28164775, 65634295], [21662849, 87564159], [15605244, 74121094], [36258561, 68210484], [27872358, 79147853], [63775478, 18845966], [81047088, 61108569], [40656475, 60069227], [53844030, 22770913], [11544314, 27480067], [8021237, 21734656], [34023407, 47656338], [36485876, 46842228], [3747972, 37033720], [48238244, 78189397], [19823179, 23312031], [82323750, 84628459], [56489811, 22967653], [33233942, 90970180], [17724588, 92556346], [29669517, 26141080], [93723705, 34231277], [95946800, 97619264], [20841565, 57703916], [44671071, 64746376], [67937259, 77336103], [71859168, 40732555], [11814551, 39354587], [57513822, 42267314], [88754058, 90768616], [5303424, 86489213], [53732532, 80650139], [98416802, 50679879], [93790250, 57923650], [8369405, 76556420], [42512132, 83401016], [99842815, 3717925], [75253981, 27546931], [40245688, 69579714], [64439601, 93378186], [91505797, 9630784], [49526732, 43461307], [30031025, 8759749], [27930764, 87097298], [54204442, 67342192], [95550484, 72839255], [10003742, 70853288], [90950908, 53334442], [92214934, 60168991], [19998573, 96466645], [11085257, 532979], [67225882, 71953880], [61012815, 33345412], [2862591, 69822182], [76353486, 43659287], [62343552, 66145530], [30952796, 11225015], [47243206, 36622884], [59504662, 97301440], [97752560, 11483870], [10262584, 22133840], [48536875, 31330076], [24318244, 31113521], [88890613, 80560150], [40716445, 74511701], [30457921, 72220354], [22758301, 17765783], [45066356, 97268558], [10664579, 11961942], [10517808, 85497837], [37001220, 92797529], [14823504, 63248071], [84265132, 69808680], [9088155, 80483639], [91365201, 18179617], [20786074, 38689622], [92796712, 41409595], [645190, 76483791], [59634521, 19303501], [40908430, 41669990], [89104103, 25975341], [71481829, 67980629], [17497460, 38373245], [82405040, 74360876], [70336526, 40580131], [15929325, 92926957], [37906088, 14416050], [2520429, 39099987], [55283292, 68206926], [55875731, 31273459], [15442182, 8100560], [97679986, 34330804], [24189355, 21029507], [59765696, 13998899], [93340625, 23515486], [38161788, 93202802], [95185884, 30820505], [42406850, 64838287], [90551256, 21949071], [89743258, 88360896], [13857216, 16568721], [39963532, 22112154], [46090412, 15982273], [26448435, 49041833], [10336433, 86066207], [76948963, 60439059], [49134125, 31784348], [24702935, 65366340], [46998993, 19166631], [78588732, 77334004], [65995339, 20504398], [96958482, 69377683], [81130503, 34514864], [55855895, 86678623], [94016641, 51937341], [42100119, 48917724], [88113656, 4782023], [74826956, 79774731], [51910035, 24427918], [8408977, 10522205], [45906722, 69290856], [10490082, 30920678], [2439649, 23954148], [13671208, 36692715], [35276794, 1739088], [21967751, 79227663], [84779134, 81390819], [20129451, 42062877], [93050214, 49275989], [30360598, 70351870], [30964451, 14045666], [59888633, 94506582], [64574068, 16806387], [52387068, 26490730], [50914273, 19867606], [93470589, 31182344], [52731142, 63535835], [13668462, 38544638], [23985087, 99965938], [67299898, 81125506], [33298321, 25860699], [95745527, 63487513], [44172459, 13640304], [20428066, 79656845], [14159432, 45367367], [41410578, 90161674], [89045855, 85255645], [87679594, 98411568], [28740589, 30159437], [76496579, 35726801], [56604273, 43294986], [95643620, 27825153], [705583, 55582556], [55616063, 70708238], [35788255, 26961564], [31459972, 83372295], [88191643, 55842897], [72003050, 28619785], [35155128, 89240104], [66983313, 82431657], [76153530, 76681046], [5792447, 66112124], [99776274, 1665453], [52411499, 40092197], [58777411, 16748213], [6657408, 56735065], [26773977, 90313368], [56313892, 47899296], [58816299, 57781174], [52252981, 91324676], [82810442, 85014392], [51305695, 37130213], [86139968, 460333], [46657032, 40346113], [11899054, 51009125], [8169045, 59156854], [97120182, 92468469], [1717891, 14783778], [59847133, 69579170], [24826997, 24643900], [35565650, 79021466], [98759859, 8546239], [35313104, 49132083], [56119766, 14193476], [14823202, 89866501], [38528022, 59906200], [9644589, 95211300], [14506567, 31121785], [21246635, 16862866], [89965899, 50793126], [63084725, 97512758], [39787720, 86201319], [71290628, 38294202], [22391903, 25718909], [90976201, 80168715], [98689504, 62719834], [56051074, 81087483], [61751256, 17443649], [62158003, 22159665], [3255347, 94313464], [36909904, 20641834], [26620460, 60760012], [11565146, 65223573], [6906011, 18629650], [17605950, 17584536], [44526149, 88335024], [77950032, 59340496], [99660483, 14324289], [95327948, 47869175], [28749369, 95328542], [3043232, 60442925], [28781892, 82079677], [10625875, 82241819], [95030459, 46846618], [33934804, 40890346], [99372926, 73575902], [90463072, 24673931], [4181881, 12939561], [8857285, 97789538], [49129852, 54738107], [51895147, 74301357], [77296765, 34437120], [88117248, 88553788], [8500323, 55570383], [80317060, 14255919], [33471207, 32951749], [15840687, 85871906], [91510596, 34634920], [53440406, 54464964], [19940639, 176587], [39099587, 79607797], [56528166, 79373106], [73114103, 61552479], [29699515, 22665751], [55271855, 70108603], [40543830, 35182710], [72116640, 84760056], [21395435, 23757823], [94817115, 74255719], [79926067, 62739024], [81880263, 65157101], [91448644, 3107857], [59739422, 7727751], [3079707, 30120241], [87459216, 93124813], [73252202, 17853108], [74464488, 50934879], [13806751, 36519946], [35931240, 38903427], [24540883, 95066805], [92259166, 39844692], [70869944, 31218070], [58498592, 37048578], [35476878, 41569701], [94444138, 3723529], [96642679, 38965571], [29836439, 65237795], [65269033, 1282438], [3828149, 88293440], [34879197, 74071721], [15205746, 92132118], [64418837, 48633645], [23585070, 27386425], [99008583, 14899467], [28194817, 46926988], [12324834, 81203855], [97406308, 66358685], [17708862, 22426040], [31728600, 69937917], [49497172, 79574810], [23046276, 30883898], [61121788, 45148999], [5691668, 33478257], [26357550, 17280495], [47436245, 38616769], [68407212, 10947116], [63240354, 39114521], [93679259, 2604073], [92997628, 47316702], [82257088, 5525249], [52159752, 12954413], [30946915, 83101136], [31329219, 69577116], [57148237, 76032619], [52359877, 74864021], [39911438, 86800869], [19742526, 59199073], [20493780, 21573974], [7506942, 47330530], [60885325, 66345816], [26927741, 220836], [75286434, 56315825], [63625818, 47707186], [60716384, 19136074], [53187151, 55372905], [93935887, 85965715], [26507230, 20492551], [29685351, 45897886], [47757048, 72279848], [15676491, 35465602], [49535960, 38847919], [92310557, 70257931], [4975506, 2908072], [81927886, 94144798], [76730544, 53383976], [55507252, 95597888], [68419425, 2799549], [36538163, 93125040], [1238250, 61258164], [48937529, 89422605], [71743661, 65006942], [16390712, 97633231], [44231400, 86412236], [9949780, 46720286], [47072041, 55467408], [34038757, 85840483], [2970879, 1188303], [38767935, 87501373], [66454925, 48443436], [81080879, 79994566], [42937911, 67890438], [51705532, 38758795], [59048778, 49117393], [87688592, 55924140], [9811657, 60403618], [34979037, 43755735], [99998275, 90741533], [14415171, 13202282], [710891, 63425166], [15221946, 93259518], [12234497, 73494422], [69760893, 71310259], [28985898, 77935712], [15885984, 15129384], [51857105, 88164916], [60110387, 42829682], [29591901, 72794767], [48337189, 5635435], [37624597, 51343087], [78706404, 51143124], [47360998, 50093336], [28676082, 18581075], [5621478, 23770750], [79455557, 8293685], [78535970, 43955726], [72863749, 94322153], [77629211, 50324825], [49384731, 97779206], [64293613, 84756742], [67219474, 45272178], [38743914, 95051319], [87439922, 47308817], [18938309, 74803208], [64976854, 99732360], [17238715, 12900546], [24463710, 27877204], [45677387, 43370102], [95057269, 41395747], [8065985, 87456564], [40789397, 16613642], [78510962, 49613335], [98625776, 53340925], [6346687, 34775697], [31023786, 17468470], [33791492, 69966587], [52477859, 15077194], [22345433, 6762583], [78030566, 34968632], [8848052, 70299661], [12247041, 75102348], [57035295, 40976737], [87357604, 63782602], [10212888, 77330519], [77101610, 4205265], [99651856, 1880484], [43582365, 20058362], [86095629, 50647248], [41103160, 73349287], [59716046, 31751658], [82317245, 63510192], [94726918, 20024071], [96388482, 3088315], [5063676, 7208085], [74411988, 50107870], [229535, 1656927], [41831998, 83943174], [39219750, 6559751], [18607824, 57032436], [20296287, 1190396], [1651964, 64086454], [29079194, 42005817], [52711407, 21713464], [3640719, 7451074], [23597907, 5166121], [30084414, 87445055], [9933284, 48313173], [30791636, 55541776], [48537217, 85072541], [92078117, 54144604], [18826361, 14176819], [97076825, 85559484], [79800083, 48316415], [63984224, 410780], [76451258, 3342940], [86227943, 76404290], [67077468, 45173093], [25076011, 72155004], [13150881, 5317977], [1582931, 81578707], [22580124, 12116356], [56136247, 41355974], [73862158, 70260042], [96145943, 16093092], [52729338, 6973769], [72675548, 98074567], [48055082, 81690819], [5712207, 32907005], [43292671, 75857152], [67556254, 91571125], [29460369, 87962297], [31257571, 33713531], [65404713, 23394824], [83265165, 45360549], [22560687, 67175015], [77311, 98180510], [83149615, 56389138], [70791052, 45170001], [21503468, 89652453], [93738346, 7843797], [82333649, 58657927], [39706785, 56185798], [2863749, 68298521], [2920004, 72010214], [82223012, 42547319], [90084925, 83609872], [87265689, 73875571], [83865185, 77661628], [33519675, 21018900], [4708816, 15690978], [87348345, 6484209], [43103299, 79750772], [96759655, 27669745], [51448751, 43199527], [33592239, 28692037], [73798061, 62435816], [11575244, 61072331], [13815408, 8623779], [20631629, 24216092], [55589049, 79036770], [41532965, 6637911], [73191069, 96846994], [3183471, 86837086], [57870052, 11866557], [36214706, 92859014], [46451022, 43658026], [48671148, 83246143], [45469947, 20828577], [86161209, 30307280], [42157409, 82405257], [33416967, 42053263], [52018023, 81031220], [22174941, 94464881], [40334165, 81934599], [16361563, 58669912], [48970582, 83092192], [73177173, 96335058], [58264614, 98858811], [44924785, 96767785], [5740794, 46267148], [6298159, 25185664], [16292385, 19459464], [42365290, 41699350], [43106079, 54574799], [1859504, 12916210], [22394671, 95556017], [64071808, 70731000], [57875724, 94315021], [6393609, 43058405], [69222024, 77686431], [42558672, 46446973], [39936273, 70385323], [80011155, 11026686], [42151940, 77910249], [11764125, 20642376], [18351167, 52596975], [77004364, 54719289], [56427679, 76528246], [24707592, 4901354], [18720258, 70448244], [80158451, 8562524], [91920669, 40462466], [62270347, 11922528], [15898879, 74451541], [99725823, 31905473], [81092297, 34482900], [43929193, 51914356], [58565024, 80625785], [22526350, 38516131], [70303549, 26387880], [80833812, 18254639], [46976345, 25283454], [77742631, 76971831], [97606246, 65156178], [63848666, 98395035], [34538447, 24948928], [14383425, 38763448], [38898888, 12531712], [85672049, 67884853], [92124567, 37334907], [75884157, 30674479], [8277393, 33867173], [53230388, 68728211], [47172877, 79724593], [15724517, 69933250], [36821900, 1784605], [27917992, 89547204], [17359762, 76406833], [98229357, 93578336], [25234993, 71933825], [2708769, 13595353], [80620540, 19229054], [77334051, 54665431], [22571106, 64056821], [42121025, 12278323], [96954677, 96405517], [99915050, 66583376], [91639101, 5210632], [13390959, 80792311], [52170537, 13298923], [6951929, 1413310], [37375856, 96890243], [45884861, 72741229], [495051, 72121751], [87034010, 10168777], [25208948, 92979225], [17579595, 43028107], [41567940, 18017673], [31449710, 63886869], [42522805, 56919476], [88653516, 20320836], [39591330, 18558736], [24681781, 17544709], [23839444, 15513061], [88914171, 88098679], [68704141, 5728097], [10643365, 94765212], [72369265, 47207855], [13162510, 88139997], [27471483, 19282459], [2396784, 39725349], [24165016, 63843865], [8389509, 23037616], [45069923, 51666490], [14314171, 82930577], [11926140, 23742166], [40410877, 25007316], [23002537, 85875415], [88517398, 90675913], [4659150, 8813989], [76711523, 74001711], [25238957, 95901241], [26642996, 55555216], [49436842, 69291274], [52190328, 17010181], [30696896, 58136790], [14926560, 56397458], [18087364, 90825693], [12697397, 15088935], [69706458, 40112595], [28724006, 59858764], [50988684, 75970589], [31052789, 18966167], [77938286, 20799748], [66480760, 45028835], [1954139, 38201583], [54063999, 19090683], [45078416, 92290237], [32094340, 16623447], [31231245, 88468682], [28007724, 9897011], [34489319, 57223711], [1826219, 71217665], [45661700, 34670001], [28345114, 1074401], [8744915, 48574890], [37400275, 94610539], [92256244, 68182874], [44566521, 15234847], [26526628, 26721404], [53378874, 45047674], [34378743, 56452703], [33397775, 90969994], [34820830, 10312432], [65456609, 4870428], [13279517, 86815318], [62131340, 54772144], [96443193, 83310108], [50734336, 48162055], [32535403, 97023820], [59732430, 83848118], [14681349, 49910852], [75873178, 24003150], [51315764, 25560997], [43338002, 870832], [42062360, 71388154], [33657468, 22927795], [5291232, 39464760], [2928496, 58112427], [55082886, 29642916], [51553164, 14908183], [81514411, 16415870], [12016078, 61175997], [92597295, 59675630], [42910184, 82460855], [88327728, 47022474], [78778954, 78177312], [23815648, 10592817], [86588207, 71249797], [64284712, 94802180], [33435292, 34236388], [71904738, 27829812], [30729322, 82482339], [54325932, 96144000], [21345286, 11475628], [89254853, 72114764], [93332571, 6049216], [29507365, 36292787], [20574814, 36928937], [3931851, 89310956], [54971298, 28084235], [34206984, 54922156], [78706444, 42973956], [9321825, 65719722], [54673989, 20187528], [51763638, 96384669], [54949714, 52683938], [92601950, 36390743], [19997799, 59483566], [89969276, 43918424], [30239323, 29530061], [75267813, 39093211], [80140461, 32240231], [57217490, 4480850], [18378489, 93408366], [8985261, 14891985], [65436589, 38452222], [19702677, 92399651], [28071934, 97939343], [38812177, 93227326], [29036123, 22587187], [854855, 19332657], [38051442, 32904178], [47247327, 17270718], [6781851, 903676], [7389672, 96031471], [88549543, 41154786], [97178742, 69059817], [21661597, 91841515], [85870792, 9713421], [17619010, 42506956], [76524503, 46258983], [60636035, 83047480], [3689941, 85806578], [38895493, 41396545], [13802950, 26400982], [73486518, 139655], [63832125, 22859596], [13356898, 56382644], [95715468, 7272669], [24616081, 29316090], [47652844, 2658332], [50480884, 27590537], [84646215, 20989288], [44207905, 45862652], [17482241, 91528236], [43275815, 84846155], [18238951, 83655535], [662450, 26342206], [4366548, 92133639], [94555869, 35308641], [20820335, 93568769], [1748027, 75132595], [93633733, 76024501], [44844827, 19878774], [70609436, 67545202], [36665403, 71099597], [51884799, 52866732], [71992683, 83232934], [13274524, 82228121], [42344290, 89873796], [57125356, 59520846], [14879135, 33661114], [51417381, 53064734], [34524904, 49004679], [55401206, 34019807], [82711970, 51164489], [25143429, 26800431], [41328837, 30507912], [17625651, 64402551], [36076783, 28979524], [24359274, 56319715], [49316628, 84914726], [66311175, 8752611], [98217335, 46485370], [9930412, 30322501], [20996174, 40903152], [29724186, 56879610], [36908293, 59045185], [74596598, 12174905], [20056673, 31027979], [97320671, 245334], [92004427, 91403509], [48675705, 8617226], [5475841, 57754595], [96186320, 52585097], [74267001, 13066340], [57363899, 60307101], [43913177, 43566668], [72874474, 40298489], [38982762, 30385107], [37636747, 68190], [55471368, 95205756], [91118727, 47040275], [66493430, 89802128], [18906284, 10496286], [79448100, 65795009], [98731406, 69503299], [24562738, 68035924], [33228878, 86249456], [33917153, 87379546], [71807033, 78442484], [51177289, 23871927], [16742334, 7774011], [17986045, 58767342], [14599174, 9576656], [10721976, 42308066], [37439279, 34327947], [84328535, 51122630], [44933416, 81058693], [84774233, 75148637], [90742894, 24277829], [46793365, 32894416], [27442540, 80862896], [82029470, 24792702], [90513793, 89186323], [95279434, 55501109], [48786100, 25008358], [98014498, 39324183], [1969631, 75491375], [57150711, 88685471], [67263867, 55496989], [2534673, 14072831], [5395135, 2663677], [50449615, 70339193], [31594154, 95796050], [3392755, 92463769], [52730169, 44166333], [83438115, 94558477], [83152016, 92861000], [25309225, 90864646], [79777647, 48692293], [78964509, 99784041], [90151765, 14700552], [98794920, 69937011], [50435682, 32821962], [82487644, 6363934], [50981948, 27555187], [6594191, 13010876], [51884820, 34680908], [45217574, 55678529], [86134687, 53442399], [48577590, 16745350], [60466643, 9927931], [37145001, 948150], [48958009, 73043277], [92754101, 5018175], [1123406, 65499171], [80909383, 59593988], [20934013, 53009155], [21960034, 12372013], [47871214, 94378999], [59527249, 90188552], [32458303, 44936423], [68204941, 54475719], [1566624, 22292700], [35876955, 79787728], [47551926, 9211956], [96492009, 51768773], [29618442, 88172077], [83526397, 60595041], [49771690, 83171795], [34354255, 59185776], [36728239, 66737776], [30272826, 80450515], [30391765, 31810768], [55542097, 65007183], [24041886, 37073913], [61600567, 95458068], [54199197, 48094380], [47678189, 47733166], [47962525, 10898175], [70443441, 85326252], [83162168, 15237554], [3206259, 39082718], [31533324, 99198264], [53784823, 74025099], [47780295, 57890512], [60564465, 95956905], [36664755, 66615712], [36037693, 93241421], [66582825, 2686414], [57164247, 80494162], [57971273, 33547126], [73863311, 32535495], [91836399, 77432726], [13781211, 19717870], [58278607, 54353478], [21135852, 57519487], [50006778, 58664887], [9048890, 63210400], [43796353, 46962276], [59848716, 31681515], [9417629, 2181116], [52039658, 89780081], [20705441, 52326885], [40795283, 97654051], [96366526, 62010652], [24591208, 38114813], [60921639, 53678707], [97453056, 69060398], [85091076, 96398943], [49356739, 79367948], [53639151, 92004190], [99095429, 45924063], [12052198, 49189117], [72637700, 85036016], [9999767, 93662187], [96585198, 3035062], [76019143, 79787387], [84268223, 75669315], [2509084, 64696903], [65152854, 19182656], [770306, 48432759], [59027638, 53205787], [68686447, 92184477], [76129773, 72447638], [73934996, 17453273], [79593574, 86860319], [77506656, 98117560], [11490607, 35362197], [53116976, 20597025], [75302111, 66919674], [17538869, 6730849], [78450223, 17906072], [22450951, 34990444], [3357954, 44914318], [79890251, 59485622], [27760419, 19275989], [85935706, 27677368], [76766437, 74343171], [92625994, 99068791], [8231428, 39730731], [31749258, 44340677], [77100927, 28784022], [13653641, 89916776], [16554662, 31119622], [11005158, 74197263], [61635299, 49330174], [32563858, 8717610], [20566526, 6184480], [32648400, 24873808], [50663253, 8889732], [16176067, 63119447], [33587687, 45220508], [69116037, 62211136], [63712384, 88722931], [60525233, 13731738], [91098195, 36934270], [36824767, 77305095], [26040613, 78738736], [35524811, 84969833], [91814318, 10338865], [63726580, 96526546], [336955, 99061851], [83495563, 57884837], [5617249, 56323046], [89823061, 62135288], [1972874, 50015993], [67581995, 61459301], [44491744, 54623342], [34982024, 79695165], [53982438, 43854472], [10516151, 41580327], [44582193, 56570507], [4893058, 27627495], [23263428, 95102711], [94096336, 89367190], [67804573, 20884835], [87260692, 5932221], [92916406, 70935170], [4137683, 69314791], [98919759, 25001801], [50638334, 63842878], [45497187, 92513601], [73721603, 50876431], [38072050, 41053698], [46706966, 97134164], [73235255, 55624288], [3587208, 91587527], [57962090, 65410836], [65063870, 81931926], [72255269, 31906989], [86792426, 56325148], [10572656, 80650901], [51748467, 2419785], [24934032, 87256303], [33094228, 16488521], [83779883, 23931265], [92495367, 57502836], [88541493, 1211946], [58262892, 15817719], [44394456, 75790742], [49108688, 37491080], [24056294, 2043759], [64367597, 22538506], [43900754, 98496529], [31615254, 15835627], [49647780, 98512170], [71696441, 82183548], [83076755, 83835017], [72307659, 26398241], [73201476, 36658094], [27405441, 71118684], [4455477, 85946986], [84342756, 36374674], [54142105, 50159898], [21830581, 64326895], [3966329, 93615224], [6832673, 68364327], [17279187, 48387090], [45771945, 31231917], [33440194, 62864050], [24010000, 34623500], [79865358, 56999116], [38226035, 9585982], [74051679, 90633542], [50788152, 97755401], [18642935, 91229541], [64060062, 38964239], [61749261, 27756122], [61086547, 88056813], [68934756, 73208072], [59902864, 23547268], [160361, 64357402], [38412366, 19680512], [66770154, 10870623], [22418887, 35533952], [59920875, 65379877], [47591956, 42425558], [90345101, 92423696], [6519889, 81139410], [84426690, 26102625], [73012625, 37569671], [31126796, 35747638], [9689949, 52406135], [37356369, 38358137], [95991736, 68700398], [99574978, 12424473], [20363717, 34030704], [1506997, 84848025], [69241496, 54778051], [64814857, 81241220], [94319325, 65574070], [40205808, 81085534], [8413855, 67132820], [62325513, 78547295], [97082249, 41455110], [17408989, 920035], [36853565, 78955962], [46579645, 10544069], [12700471, 53537806], [96584259, 51570848], [21603121, 8595627], [41158018, 73351307], [18863630, 3645886], [64826165, 16609904], [39710497, 90065893], [21973321, 45639642], [19652036, 88721249], [65006950, 62653544], [37241093, 33843915], [73601307, 18300592], [11683462, 12348774], [12390345, 41920953], [20309107, 64250015], [77632283, 34633494], [39034189, 59938484], [88992426, 34592533], [78327612, 31018253], [72733889, 33940987], [40071512, 33112348], [85576325, 62031678], [9397259, 78267724], [49938637, 9116605], [75448118, 95183763], [74914198, 78652746], [27762959, 34027488], [14397303, 7541102], [39174871, 71758137], [26552993, 92914072], [95921515, 82780994], [9863546, 4133280], [23444792, 91066386], [10417034, 42605628], [65460905, 39718472], [78133993, 57882969], [39827224, 74465904], [10007861, 14579017], [29086054, 7932245], [17636138, 6939269], [87995791, 41635714], [41216838, 94312034], [13581219, 17363089], [39344585, 22165506], [45614882, 36017390], [31110648, 61728884], [50724849, 46315886], [3021903, 96903360], [77058286, 53432594], [67343905, 52633996], [40087887, 21123915], [56011212, 40948746], [7873088, 18665373], [28508963, 2748700], [85441310, 25731334], [80648150, 65278268], [34395404, 13247540], [28359210, 34225043], [3417530, 72348105], [56431043, 37345450], [35862423, 20139797], [59652641, 21411155], [62921370, 72324742], [50914204, 23371407], [7824303, 82305023], [87618020, 41041706], [35562800, 88714567], [35949667, 6294929], [49652692, 12038769], [84918747, 37387763], [92245168, 2814261], [59129563, 43823188], [45309848, 1183409], [15132653, 35941347], [48731078, 48894226], [20490218, 45373717], [35842020, 62355003], [69599907, 90317181], [61241849, 46616587], [96569959, 68747171], [31980236, 8612156], [81664156, 22360064], [78525343, 3671058], [30224429, 69112365], [33640479, 35777755], [25162179, 13782513], [43601307, 28493977], [18901983, 2800851], [23141256, 82332961], [27532659, 30055710], [8105004, 43031779], [42832951, 53949941], [559138, 41821491], [72796281, 50784976], [6652229, 99201685], [9049227, 9989120], [95152638, 30998286], [81867083, 97537179], [13751657, 52944286], [71644052, 21509091], [67726278, 74473569], [55206328, 85715955], [14540485, 58386972], [48775187, 36778151], [81231538, 76506196], [14263261, 14497530], [56779930, 59762743], [15486782, 75166903], [10683118, 70457763], [44913990, 40005099], [29160637, 55304891], [695528, 32902847], [68282495, 68654007], [3626005, 88201320], [48148145, 13487694], [29855721, 4313803], [41188320, 1574757], [71221369, 69046578], [68192645, 32710572], [67937929, 57295162], [57092198, 97954772], [22242295, 30550164], [73255919, 62909480], [73340863, 48568149], [79644963, 24417176], [66680641, 38571206], [38848663, 50062934], [95863615, 34380548], [63857129, 16661048], [59994986, 61804212], [63930078, 99905821], [53686406, 37570203], [24923913, 55347077], [74068279, 89866423], [14346818, 73818773], [84263699, 83124580], [14034210, 42881638], [8158168, 38858576], [72833573, 33243416], [83802718, 60474212], [71844555, 69235600], [34066676, 91383431], [80520802, 1750672], [91303520, 55871917], [46516826, 61414128], [628772, 37934081], [34604855, 57822435], [77551986, 63602326], [62657731, 3873318], [49494902, 35418675], [31198373, 9154907], [21380603, 88621995], [86777230, 10655542], [59934889, 65691060], [82321802, 45384060], [71463091, 75660922], [5304889, 7473496], [17468561, 18183917], [15437154, 89657330], [51499813, 17465139], [27301106, 16624493], [54553393, 8167866], [81170104, 44505423], [47763913, 30608566], [41962897, 38567356], [34815676, 35411399], [25386203, 26091838], [73287369, 57289918], [75253565, 3974964], [1486845, 25206496], [50681226, 3988848], [44908583, 82189041], [28307314, 14306179], [55068543, 31623702], [6798524, 68814390], [78316716, 51722178], [62834084, 28628038], [63569793, 49397728], [46823707, 2080741], [6608186, 23670340], [7196682, 22118423], [76754911, 8853498], [50141440, 1460128], [30743902, 10875086], [77629606, 12893225], [63800723, 7117218], [27009090, 90418248], [73534120, 63833394], [89439682, 25102885], [50301967, 82534868], [58437766, 4284697], [68261012, 48516286], [91006618, 27475900], [42416208, 51163105], [50478932, 90377822], [20219942, 31541302], [743948, 62345087], [46161207, 89563369], [78770571, 27841013], [67117233, 95914228], [2955086, 72577933], [76091213, 82157294], [58124325, 45092237], [26765326, 23426240], [10795841, 50264026], [10081794, 62067692], [24825427, 97845573], [44472118, 49589440], [81921335, 49407227], [46766508, 48596335], [6117205, 66170448], [82487031, 6728028], [67800204, 14669791], [27075051, 29171159], [61770420, 56651166], [21542812, 22778256], [61019070, 9570627], [83139281, 17392157], [59103436, 2018557], [19159081, 349478], [93349555, 25727228], [7775350, 19589934], [49743701, 52892775], [48616261, 18757751], [50812266, 4599078], [78533774, 72284297], [36568839, 28017928], [90486520, 72974077], [18315162, 35635047], [29119882, 39812669], [77467872, 29147757], [55406023, 60362373], [81395801, 13927944], [39381818, 1080998], [20846243, 34497685], [78125334, 62933009], [80415561, 76082187], [33382842, 76061369], [42773923, 99220521], [75009215, 35309823], [6730354, 67919331], [13302118, 96786914], [12627410, 70598039], [58004215, 44773636], [7353744, 60440753], [2521068, 46939136], [69659345, 72555277], [68797418, 41145616], [67654650, 50023426], [38507171, 96145210], [77763785, 46119972], [32358532, 65203316], [44762806, 28868572], [79491214, 62662187], [51621773, 62314232], [12980701, 56411917], [38984661, 19437027], [91172513, 12817738], [4873995, 29027615], [39740469, 30222385], [59102865, 57302024], [95254479, 72046028], [71782740, 44733072], [9098787, 83596147], [5784749, 84787532], [69609417, 15225577], [31620662, 91207051], [86505825, 80595004], [91255458, 39217257], [11766075, 19645727], [65324210, 81453878], [31142220, 99219184], [98443070, 29519272], [70142411, 33310611], [34448575, 87975257], [68107004, 68584377], [7691112, 57094577], [16341898, 87284819], [55345689, 58218056], [63594981, 86155979], [74718897, 47386337], [63503187, 61837514], [53781458, 69936303], [88947622, 89769380], [40457207, 50139967], [85981851, 89262340], [90743686, 1195363], [6960660, 23543194], [74023341, 47593499], [75257681, 72419116], [12880366, 28662068], [82744082, 7006044], [46689790, 66662048], [75588358, 28696800], [47928473, 12639749], [14306763, 15303978], [73155050, 62269901], [41475494, 55713164], [67287463, 79252590], [44578193, 51341501], [49546051, 2335134], [56648841, 87017601], [15833098, 59054862], [52845413, 63058631], [15549008, 14781530], [67817872, 51964985], [34128187, 41816140], [35447445, 69097877], [97096667, 91819788], [52278136, 60600882], [39112074, 15340559], [31698405, 91198186], [55836276, 74443210], [89597833, 80561860], [59681545, 41614471], [17488077, 85273229], [59296176, 71811978], [52474320, 72024484], [99542657, 65767006], [10811624, 69276414], [28192976, 55589422], [1691572, 50671986], [68090506, 23057643], [92340965, 45996179], [77562587, 88954573], [18972633, 23000743], [73031344, 53763241], [71349723, 64942616], [59850972, 7085576], [94708182, 65716704], [47002781, 20724781], [51785545, 72742349], [59183740, 14951981], [13882381, 81172791], [86054120, 95739260], [16934229, 25943544], [95352123, 72604040], [81301078, 25764591], [29261330, 3939385], [47963743, 63347462], [85981474, 59164404], [17382104, 89158308], [32932833, 88881837], [7975343, 17573101], [68790113, 9749219], [82430518, 87536743], [73387554, 94974086], [23836190, 9761233], [89505053, 21961582], [68875451, 41665849], [96962881, 44961694], [15767754, 75662630], [4685507, 55160280], [99008904, 92106428], [21204766, 25467743], [9046607, 95895969], [90395386, 20235101], [1388390, 68823243], [61874782, 39537892], [97904884, 65299448], [29921586, 55581580], [26214700, 22621591], [75627900, 28684498], [84392656, 67591069], [97959142, 55262622], [7148349, 20904593], [52820537, 38545058], [22742652, 47688346], [27398097, 8521987], [23076662, 12261157], [61348104, 31417044], [11261872, 83300477], [31756979, 66056434], [5839082, 31365055], [62456606, 35649810], [48922441, 84970067], [96708914, 45944560], [91950657, 12844262], [95099345, 60342242], [72414661, 59121868], [17896601, 68442898], [83985842, 12217476], [36544207, 42687231], [14785795, 32169848], [3364650, 43517917], [79960979, 16624549], [74903837, 22271861], [61097360, 46433104], [39174746, 50002758], [79457262, 61601348], [63645428, 26601466], [66139857, 27918255], [84212874, 82802631], [35066686, 73416269], [51070762, 9834450], [8303987, 31627220], [21386538, 75577783], [50350533, 95983872], [99679735, 82779812], [77678171, 47701803], [60480810, 92291359], [21319329, 12180102], [73255086, 74108852], [64124864, 63228002], [49432193, 23884855], [18490122, 51755153], [86151462, 308389], [63688735, 72493379], [10617619, 6261374], [87150859, 32623629], [22670155, 29125770], [81801629, 9054980], [14994456, 64474587], [84158613, 54993776], [14662637, 29446234], [44477867, 29521712], [33558006, 1484282], [77114924, 48504381], [58597265, 97032403], [35660073, 23773095], [19640803, 46199461], [89630250, 70338274], [34446453, 38550352], [20269865, 7372987], [65595799, 36494547], [73105407, 74109538], [10076076, 77047739], [64069413, 72865530], [95063215, 65384655], [64783155, 51426418], [81584182, 75433196], [85150880, 39093373], [49856101, 72338520], [9334166, 98933238], [93355915, 66331720], [30754388, 95662648], [21164085, 63671601], [95469650, 55543392], [80508134, 30689136], [19214627, 27641157], [99851704, 4213711], [39480670, 16262147], [99707103, 73327224], [2923094, 41104433], [10822862, 48724991], [96246510, 39902297], [90306450, 40960136], [60265662, 32068469], [95446775, 26422055], [22376753, 31571306], [99019867, 32305065], [90279146, 18813307], [39218660, 97652929], [94795111, 67641243], [59376011, 61747989], [98070541, 59130714], [92977639, 64453234], [99249846, 8083132], [86859663, 72729968], [8332601, 35037664], [74631423, 33579959], [99262429, 84881941], [844016, 97074291], [88043480, 47396797], [98936403, 23261130], [81750183, 77056062], [62051910, 59065150], [15742638, 85043168], [71378931, 40617465], [16682494, 51007932], [27993577, 85721556], [83463721, 87019815], [31828345, 86550926], [65593007, 48633590], [77261341, 49304807], [43008929, 93929261], [68969433, 14250118], [41478928, 49487602], [59080431, 72311278], [68920579, 94004761], [44690443, 14215063], [38184302, 24276268], [37141752, 37153118], [87940261, 91227947], [17723338, 66108634], [53540338, 52324113], [15010712, 16102783], [70366667, 55740151], [21780377, 70451803], [66844104, 64743659], [99305892, 51912730], [41796215, 39944023], [81849238, 71638658], [89844308, 30072730], [54475409, 14606437], [33624922, 24669365], [36071553, 13288415], [37334499, 60541319], [38787457, 88067726], [11487798, 50079190], [5650153, 13257208], [11810012, 29909892], [36702630, 99821159], [94546112, 25775113], [17602425, 96299596], [35985122, 9683244], [8345773, 30072160], [29667217, 5132329], [32484661, 71313082], [4851304, 10456740], [32903651, 67557229], [19181060, 98810144], [22960992, 93605339], [71318314, 75531875], [38225647, 74113394], [12403188, 16704056], [85264465, 35036571], [64810043, 30550282], [2139270, 2368842], [61034269, 61007789], [20600098, 59972405], [38371024, 51340191], [38940155, 59914218], [41197983, 708448], [47749003, 87233764], [56596673, 64050057], [97814100, 91667848], [3096815, 19669977], [97469749, 22249178], [69500036, 49396234], [68498553, 6130876], [35926325, 26909036], [17559698, 20193518], [50232206, 75800124], [59332219, 2509993], [25049216, 83876132], [57451662, 37824950], [35886876, 75691703], [46168269, 55418924], [66375032, 56070080], [49428363, 10237764], [578570, 89376908], [37657131, 85586330], [35775531, 61665781], [61684666, 45182473], [20501448, 58249155], [63738954, 441693], [11631671, 82709630], [60269430, 69318808], [21947403, 36360462], [99458793, 73563929], [22247447, 37088134], [50374522, 50329121], [96032379, 70069394], [37104718, 18147175], [81565756, 86903434], [47652098, 39435722], [81012046, 14388664], [83281904, 66915308], [79108092, 531288], [38159402, 85731640], [43595820, 91414072], [20343070, 14286967], [899980, 38547016], [78044788, 54027394], [88411824, 68336221], [49922695, 36812471], [7374295, 87209033], [38674821, 9212809], [35363902, 51403298], [74228499, 86215415], [84780795, 39442459], [13583226, 45518791], [79338016, 86621281], [25352412, 43809344], [35939076, 24034202], [34415839, 9549694], [55615873, 9392243], [21055338, 93182429], [70607285, 31094909], [59549649, 63057648], [26985929, 81395709], [93046121, 70281196], [98019249, 37217570], [7012825, 21265837], [84111327, 71014715], [83493006, 1158776], [4501286, 96587590], [10361669, 88724897], [97892091, 72479772], [40486032, 20389041], [52550258, 60307210], [65595201, 1501841], [20946251, 84796106], [2810507, 57752943], [69136432, 32517976], [9223065, 83278039], [67058726, 40250837], [95726321, 5412370], [67504613, 47557612], [93908461, 65838432], [44285543, 79619948], [28669066, 68728932], [11115054, 43004386], [16696589, 36894551], [87354022, 55258318], [97956790, 58608048], [39051871, 65490192], [21089546, 706767], [50603771, 21757487], [2657590, 97832274], [67756841, 88779370], [16517362, 45281452], [71438534, 12309809], [34138195, 22840617], [85352460, 25812691], [92804359, 9605892], [59292960, 37967629], [97023910, 39931975], [51873201, 42754879], [13946279, 67288120], [85402598, 62037520], [31536451, 26643855], [37083674, 1687694], [66797754, 51122526], [20532941, 2794797], [95857319, 60641130], [99707603, 49285262], [72033631, 57063736], [22601578, 17156879], [96973240, 52367551], [31742988, 28639216], [65276743, 81739973], [50402261, 32055402], [45187712, 7029084], [1940523, 92946515], [74624719, 60556798], [73830540, 63278673], [33279485, 54448697], [29663945, 58064106], [80546143, 26248658], [4905335, 98707619], [62742271, 96449700], [34103614, 95013550], [25376536, 88433218], [52794025, 8552150], [61285199, 62382088], [19691638, 72227056], [34601453, 71858102], [55862985, 16851367], [14582452, 65195316], [89960985, 94353931], [24187673, 7180616], [89274331, 93394224], [47930110, 18075203], [17774608, 43257644], [42188785, 12406832], [75063350, 71151514], [59602536, 66821114], [31533248, 44623255], [83302087, 46293976], [91320666, 53699071], [46751175, 70228905], [62892588, 72027758], [66554387, 34969907], [54256957, 17736943], [45219963, 64748111], [74225751, 93895009], [33495765, 51464015], [45069366, 97080791], [39535982, 49690478], [48817200, 59969343], [85731306, 41332910], [2761362, 6955122], [4309877, 24197094], [66545937, 3660490], [74604256, 97524396], [66454926, 81450871], [32613576, 77685635], [60268048, 73307350], [71937873, 51328084], [36904444, 30379782], [45463851, 35286978], [84542891, 91906461], [54730243, 93075674], [44909048, 8217681], [58829221, 63836484], [27666647, 2817541], [40415082, 92202826], [80467866, 90663574], [90359125, 26109897], [35612076, 89562090], [634229, 32355368], [71086012, 51754518], [94595260, 66652228], [56932392, 86725091], [94241723, 55782089], [91871188, 53053146], [42363416, 85570909], [5620549, 75032292], [2442659, 15147812], [15333039, 78781176], [85482813, 31125580], [2530575, 63780409], [31470609, 58843069], [48737859, 86636671], [60466246, 90561496], [53252946, 97752096], [70656332, 518366], [77713094, 85583230], [35124634, 66122641], [61165958, 48697969], [56347127, 67764831], [60136806, 44510714], [75771577, 35571504], [73707535, 5197636], [85041224, 29059282], [89132235, 52451378], [83017929, 89620967], [7558440, 63869019], [1013628, 78103670], [95468708, 16389570], [75657935, 32053853], [23429798, 81753863], [26165001, 69614453], [32067448, 69728127], [27775963, 14930533], [77199845, 49856358], [24698643, 77227271], [18974940, 11069729], [3413128, 69586161], [46757227, 21922921], [84336827, 64185402], [92410173, 95668176], [32250052, 2701068], [72989687, 82548358], [87776382, 92466485], [39149661, 68198046], [48908079, 19902928], [58697981, 22316629], [20082005, 59168558], [82483373, 89465990], [14204627, 50971757], [99203546, 84397055], [70554191, 5331743], [12186545, 18453246], [72887912, 4122637], [4505544, 24437585], [39110375, 93025128], [61420083, 63784449], [66796544, 5164943], [38889678, 45797743], [71816897, 6970694], [57858046, 71571539], [56119352, 78552439], [47317214, 77255991], [63454630, 94768521], [899956, 95561300], [39935919, 12472459], [74679708, 76817155], [18483344, 57892768], [71692379, 97544935], [90621, 86116211], [64518443, 92283351], [85910504, 79983252], [16792052, 14345649], [65367168, 11286700], [17075804, 73800746], [70569569, 94885815], [27818100, 13476214], [37154712, 8048415], [5343656, 45522164], [44014752, 32108743], [35419630, 5732191], [67016078, 3771563], [25138309, 11888810], [23732467, 71394340], [66041865, 50771416], [254280, 69881210], [92967447, 39856108], [79931686, 68074769], [19063608, 59802652], [47047476, 91715721], [5711025, 46543516], [7021469, 4275212], [95451269, 7377196], [41148610, 50156177], [27287491, 44242516], [24273110, 52674582], [66453190, 74801198], [77321046, 777012], [30396096, 8471392], [84284428, 29212789], [97045273, 35903102], [83118008, 50691126], [2512597, 92343852], [33932868, 80446473], [365568, 63324558], [59026678, 71598651], [38946816, 29621291], [63270257, 55680371], [19876773, 41924937], [5582258, 37864376], [2571279, 48812090], [30803245, 53411164], [49151589, 84347722], [10179462, 60231831], [38741483, 42077129], [421908, 36712915], [24385488, 6575064], [98063343, 1467596], [11130960, 46497266], [21535185, 80814591], [84483197, 26781786], [14496963, 13234828], [39122494, 64984666], [19725585, 33599933], [62772462, 78584613], [87372245, 14703896], [31622289, 2887825], [84511410, 8309202], [96229626, 63313346], [41078761, 12220614], [17361106, 42751038], [96195457, 73833107], [14509892, 39976634], [80612968, 43617332], [89128952, 89829298], [12216806, 13304789], [51799132, 60614014], [1474574, 96102686], [78899826, 18533105], [11534380, 48534995], [34807914, 27578107], [89013338, 98203436], [87991240, 66971945], [12719203, 38347574], [4620170, 23595849], [36769074, 76110056], [78504552, 53008357], [42884469, 37760229], [31905990, 2798600], [17612026, 29414682], [85337115, 81609166], [78314432, 28502468], [55692705, 64978563], [6497563, 6602637], [61799153, 64939461], [58899061, 22177729], [42855733, 45986899], [74258214, 35489563], [6352587, 32812983], [29481180, 4411457], [81605501, 2188590], [64792673, 74922206], [50574607, 41390048], [68369882, 776433], [77970800, 23759492], [49064400, 8586630], [51797800, 33692235], [17113834, 27299375], [15537287, 86441412], [1787065, 73898934], [76982648, 59532021], [24520307, 30878176], [43814185, 71434822], [78024438, 64876703], [14826079, 90251243], [42307360, 96217226], [605210, 96822305], [68637381, 95939204], [21242340, 6847164], [22472658, 15905765], [44130533, 32367889], [715589, 96680145], [67124683, 50099566], [97371883, 57156829], [88058025, 58231510], [92051364, 50487713], [90125822, 47426356], [75390260, 28578829], [27643914, 28718004], [32107306, 18504609], [70062684, 90487060], [80836528, 70066439], [47805508, 34344466], [55591011, 73103809], [17409645, 78260431], [41586758, 17401916], [7024751, 49494392], [31088615, 30776170], [57826624, 82145533], [44523413, 92330045], [35025728, 8271090], [15787847, 25867567], [26255799, 20910455], [88187717, 11549424], [66373728, 7084293], [83017993, 92541879], [19570696, 44999037], [98308650, 34079849], [53617332, 38085182], [52051064, 59982612], [49689533, 76035948], [37012878, 45324514], [63933577, 57863938], [85148677, 32758512], [52713265, 24280528], [42883322, 9363138], [67195384, 85021833], [63900289, 27688743], [25857142, 83139312], [59392760, 7863912], [65737168, 93607280], [7065865, 28964543], [37630213, 93220810], [19219945, 1329009], [17609089, 98751498], [38384020, 39958062], [26494540, 34735454], [45081643, 51500637], [74935677, 73774687], [2798421, 40798194], [79209393, 29464644], [42130584, 55300890], [71163729, 53617354], [43866471, 71635930], [66458000, 37452484], [25580197, 35043804], [84128139, 45065521], [18354634, 27534722], [37943422, 83903831], [1402587, 68927281], [84562504, 95572156], [38050946, 84441332], [92129830, 48051417], [46717099, 23158848], [17481986, 45846776], [12342413, 84465231], [9722893, 95270689], [16839977, 50858391], [53139246, 55928293], [77120715, 87809890], [58156067, 84842128], [46915705, 66034423], [27731502, 57748535], [81248245, 87492466], [2996797, 4078957], [43607702, 17486307], [8444665, 14084976], [65448731, 24806510], [51878767, 6344891], [77887845, 37419798], [52908025, 4638763], [60550888, 7894344], [63129398, 94315926], [57414871, 60179162], [17008981, 80395538], [45137428, 48765831], [44701490, 22927827], [77793899, 42302091], [66919743, 7311226], [78459146, 88669122], [4405464, 48360485], [27424587, 1102233], [47749577, 78550458], [75160440, 13572589], [75203800, 81474095], [57753671, 38055730], [52736372, 33849890], [48521262, 75825789], [97146759, 66669706], [73438156, 16111357], [68574953, 66519060], [12715770, 5112965], [6620147, 59953823], [94150759, 45495082], [13272523, 90166172], [94712340, 25968220], [58021137, 68853004], [98946718, 50547907], [93483211, 37508213], [39538299, 69041129], [89709999, 93621736], [15693240, 94302891], [51574587, 16408574], [35176633, 57168212], [46018725, 80853380], [43481528, 11147700], [61240126, 56882701], [65044349, 39765974], [53051688, 91728327], [24258376, 64915296], [66032383, 12671909], [7629277, 94911195], [11124111, 82253957], [79791380, 41419319], [76344317, 77780347], [48224681, 44781077], [85527699, 41648259], [22961915, 44385622], [6622373, 16302715], [2200243, 25890645], [27035653, 76628341], [39770712, 13534607], [57182223, 53035976], [44200141, 82139133], [83457634, 24658069], [6521476, 47626051], [67489100, 59138961], [72604552, 48855778], [25954411, 41841519], [63159238, 5648438], [46562458, 99733085], [902678, 81856387], [12651116, 8994127], [79250846, 30187303], [15319545, 55528334], [87164424, 70254503], [58650530, 5572429], [53708015, 41382617], [43561118, 49897796], [27561322, 43137566], [21190690, 48600134], [49318864, 61024937], [44825399, 32503111], [96786072, 45046600], [17659928, 3735238], [62140011, 67706065], [56103311, 52909249], [35493659, 85969943], [74831553, 30134980], [87401830, 85970371], [98060361, 40041854], [12434936, 32317105], [95777706, 48152716], [27612113, 88173445], [25098666, 24645264], [90483181, 73935797], [56832471, 85919166], [75662252, 12297764], [63002459, 85784707], [10819807, 10165671], [40921595, 98990545], [12798343, 20619357], [30027469, 6415431], [73580640, 98420212], [52807198, 95504713], [8293171, 28682254], [18059927, 62978407], [30538780, 6421147], [52958499, 42466454], [38120289, 60118066], [67917376, 74613438], [68361754, 69160161], [79903167, 38219573], [21954411, 60689465], [31244652, 13749176], [66294146, 45057941], [2060137, 84141695], [20430819, 10715632], [23996617, 83484346], [94218884, 98698161], [69487108, 89482816], [97184535, 33610771], [44211749, 14671373], [5514287, 9502492], [88101098, 5013414], [38963556, 75535620], [56084327, 57101173], [28334538, 26487527], [85266395, 81528506], [9494039, 97545628], [58790181, 54741543], [13301349, 43270128], [5750999, 29538491], [97642450, 26825940], [55019835, 39638304], [48830165, 85135394], [23159562, 64431447], [59673590, 9955568], [34073778, 79151905], [18172317, 14066680], [71446978, 60034656], [20321411, 95399770], [2303812, 54146099], [83727896, 4753973], [77666052, 82537487], [8504510, 11863579], [30861516, 88679936], [51531025, 18170956], [4982894, 61556166], [14116607, 12262448], [1441639, 41882484], [27380897, 50933556], [52524415, 61795191], [16569592, 7397112], [62037825, 46646284], [61386278, 16020641], [53046210, 7848058], [34378475, 54596411], [13624614, 71289135], [32755200, 17608160], [22457036, 48353417], [32600622, 8612665], [26139006, 69936171], [5950639, 74789179], [37012489, 59734998], [80539932, 47373344], [16624461, 40006724], [46033951, 94672819], [60470254, 13575164], [84383937, 89443940], [846642, 96678031], [96564944, 84700850], [27502347, 27282049], [72361318, 68955721], [66500069, 73002404], [52514433, 34757960], [1450313, 42938823], [86876268, 57358458], [12453853, 45118581], [50583548, 69842703], [43906547, 87400587], [90536618, 12375136], [27526323, 71466227], [38991576, 89481579], [53148216, 95375231], [35900862, 49092716], [28298510, 85249784], [53196322, 46562660], [43539867, 42906797], [8998010, 265177], [1187655, 56046355], [125057, 56862344], [22039026, 2669027], [35386614, 35227209], [71944788, 92378573], [54217037, 87412341], [85214228, 62866312], [67132300, 22116967], [74871069, 13996834], [20695983, 90851033], [93968606, 56742200], [99510877, 45409623], [56474241, 95729346], [86943920, 18240600], [10175086, 57559832], [32076761, 46728358], [72139712, 80112435], [63082507, 65611646], [6216223, 43482408], [76875319, 69632005], [4090862, 74762890], [64638300, 80488937], [98887895, 51021295], [52820265, 56518824], [59864524, 71978939], [53614235, 7561196], [87467810, 70045916], [16762818, 28608977], [99902973, 90259515], [30363007, 70200123], [92750493, 78807421], [51356492, 36204224], [42783094, 83357675], [29740768, 60449000], [78011930, 34494642], [48881186, 48606417], [74740856, 73506027], [5348318, 80584633], [2488710, 54458958], [25528752, 75126804], [63097486, 54991861], [64148462, 31072277], [16399974, 63788508], [21167133, 80949880], [8808045, 45883549], [96330182, 4299363], [21977748, 1827737], [21059133, 91867496], [83876309, 51125643], [1378142, 82829820], [15519204, 8143318], [36644990, 99194630], [36958408, 10501866], [76802707, 22343735], [71760755, 22678995], [65002346, 79387952], [90038226, 45926949], [48120706, 55609888], [81688308, 22859825], [17507868, 1884044], [34182521, 54787289], [61670132, 51320348], [32073914, 54701863], [37143219, 45760887], [48038615, 31037847], [85890928, 1666850], [77122484, 98221859], [67682638, 87923109], [2865178, 7343466], [37956373, 89861916], [71718965, 69235686], [13938609, 97722283], [43292802, 93929163], [26129771, 69802140], [72962046, 28849889], [93932893, 9843343], [93903242, 49564839], [80579908, 39049457], [30296192, 99872110], [67838444, 24570634], [78676089, 39106403], [56099796, 58475768], [5705325, 2047048], [84832465, 73231398], [45501880, 12125036], [55443944, 58399981], [72381623, 78191557], [68327953, 41535123], [65643331, 78199344], [15869211, 56052249], [69836533, 91363729], [95501855, 66367591], [2139, 11435734], [41846326, 88965080], [90859107, 4697059], [61890740, 20036987], [61412971, 76043339], [5481964, 10003715], [78025404, 70394609], [99165445, 85666169], [13314320, 22487047], [1010972, 63684818], [5425082, 85570296], [92195611, 10757221], [42955558, 29744152], [41609433, 13479669], [13804491, 11832759], [83414812, 89742470], [7465254, 7494513], [97070619, 53108810], [65669493, 14237891], [66325631, 55018808], [22432033, 61095430], [43018803, 51068905], [73535554, 71905704], [91214375, 14105493], [25471416, 29429778], [8419899, 55508592], [70349125, 36428393], [18803182, 56560691], [50938790, 42862820], [45568781, 15059226], [63190176, 95337781], [50034954, 44119468], [78774803, 32850918], [82011868, 44932643], [2554293, 60853787], [81176227, 78035630], [59867671, 84549029], [74321042, 49538979], [41920203, 26703639], [24890149, 78902101], [91084775, 30989121], [14975742, 5805679], [75510595, 626656], [92388288, 83201214], [13265481, 19151856], [58163715, 59855958], [68021308, 67052951], [83477462, 41547163], [80374359, 25107179], [45177257, 22403135], [77215584, 79591996], [99052520, 57750474], [21926365, 27042306], [2700610, 21514813], [22912001, 21908670], [33799401, 51641910], [6739415, 77293124], [64330678, 30627294], [3660592, 904276], [61045888, 82445672], [91404614, 91636264], [74628275, 11616217], [76770079, 95891502], [62801134, 5833797], [19298357, 30325226], [67022341, 57053899], [86444434, 56966556], [61840398, 12531610], [56908382, 63942299], [42793907, 49187042], [92920528, 62765432], [88381837, 69655797], [50289072, 1691341], [70849882, 4671765], [46423884, 12396142], [77948198, 33995566], [89835456, 29848034], [86386021, 86856738], [9416206, 97379209], [91769586, 53072990], [32911924, 55388706], [22936836, 81606690], [59385398, 36225403], [62509138, 53705870], [78121914, 90120302], [13036855, 64322813], [64993535, 34241183], [36022206, 19845658], [60911492, 37021164], [35469915, 50219306], [13325313, 59198443], [69272449, 21284993], [61647945, 19972773], [63415257, 49147812], [90659004, 85437598], [9536471, 29795585], [83076328, 99716828], [98106699, 63805319], [43492579, 11612805], [797601, 59138087], [31378845, 62486470], [5886368, 13785177], [48616793, 98636732], [69941429, 38916704], [2093287, 19731879], [90740091, 25574266], [68751915, 4393598], [49863714, 90143644], [34394003, 45038123], [90379241, 32929097], [36341344, 44374199], [98860949, 76764144], [91445409, 40205214], [3494211, 56889713], [99064990, 12783671], [67875362, 11625276], [72996622, 86887314], [80626255, 48148055], [63704465, 9386044], [88103744, 43230480], [35580814, 87244302], [81938263, 43776747], [81202875, 28276302], [82121693, 12300649], [20267195, 39577858], [57923640, 32159236], [5609361, 98154305], [22573901, 63696983], [44021434, 14134705], [39379926, 52120342], [5367400, 76955451], [89004855, 67317596], [7356636, 7697795], [84629737, 67331556], [70795067, 66657636], [19276459, 95222921], [13014133, 64908205], [3024081, 57656108], [25679608, 98708357], [4206844, 6058954], [87851217, 97119574], [16328972, 47768006], [46019280, 98943630], [33823353, 88976282], [67023258, 77554865], [9089772, 81945165], [52802632, 28154514], [45426397, 4957708], [71815585, 52214723], [75305787, 42456030], [37241805, 25839072], [18976586, 54759568], [70235145, 7306945], [14504471, 26469639], [7617602, 31752319], [63536231, 87708749], [8645833, 2144584], [65769222, 84877179], [29221191, 91768797], [89299451, 78423721], [3405826, 97245121], [1730709, 50676175], [31337156, 121379], [85351717, 59867736], [29067122, 12725771], [64617483, 21945244], [80063117, 56885661], [49712642, 40095059], [54890011, 5827273], [47711090, 57031930], [23031674, 281281], [99372296, 30176868], [76749465, 30051083], [2886963, 32668918], [86819526, 53380691], [98989476, 13280859], [27614569, 94457716], [30965160, 63236882], [10282719, 2116505], [7066747, 369232], [63179150, 64355835], [29479233, 97025409], [4614908, 80501999], [89866680, 83010940], [46098866, 47778290], [10149974, 2888827], [45359121, 15296865], [77092251, 42820260], [36247554, 72923482], [39228188, 77001505], [17947909, 84769370], [76259525, 67425196], [3695011, 33966579], [4291914, 44863950], [4858750, 60068553], [85399066, 30197108], [95236395, 29141862], [53521624, 26054112], [41425807, 43253975], [39743495, 33534750], [90744431, 50680860], [48183919, 88699239], [34447805, 34922638], [86009208, 28931514], [88873885, 88371746], [48234918, 75915866], [88780656, 93689721], [8265591, 24679730], [90905683, 79143177], [96687145, 16443121], [6184767, 26751816], [48142074, 76377338], [12984969, 71224720], [55425390, 38846662], [54381515, 31005119], [2024659, 58876170], [59812226, 3555784], [67961609, 85145903], [61926031, 24757827], [91389965, 65832328], [71127731, 7238795], [70470354, 47409949], [10599660, 69757135], [97795984, 47452853], [27014783, 72472146], [62242999, 14445287], [93169956, 61767121], [1318795, 6633054], [41854232, 83371739], [59972106, 54525617], [80274072, 50640849], [58962778, 80187423], [30139587, 94694566], [58843222, 18490948], [93459021, 20012262], [55053281, 69031766], [64759278, 70317403], [98296154, 20132132], [59386867, 86319952], [49639941, 52460822], [82866839, 20045982], [98053589, 19139858], [75816357, 82676482], [710379, 77213393], [32562279, 64029810], [28940634, 9468285], [3649085, 23133686], [20964802, 12416283], [65998470, 30211731], [70029174, 11988140], [44662613, 31753992], [25997511, 75630024], [67183301, 56676167], [97500267, 46400170], [91173888, 54902242], [7770654, 82356313], [40741538, 14162608], [80065633, 20758832], [16501751, 13298613], [3718607, 19510244], [39860534, 90888927], [44989860, 90011937], [21604979, 52200618], [76439027, 8866933], [29817677, 52247651], [1325292, 77365071], [68851480, 27544875], [95193251, 59643764], [99142784, 30358156], [12254375, 86032244], [45313781, 67810275], [63095617, 48892215], [51113422, 78371276], [1376439, 15133002], [53339613, 41228881], [18915389, 47927863], [55786652, 23820254], [86627895, 22320137], [25784615, 35035512], [99290078, 51950438], [61115654, 28981700], [68574443, 82918555], [83844958, 58002761], [27457506, 47272699], [80029253, 70090962], [8153366, 49407953], [79108012, 25217293], [79755764, 68217735], [1265353, 70461294], [55937345, 52240442], [82386184, 94744568], [21222910, 38571009], [68200011, 50231475], [53907713, 86312375], [47621846, 75970690], [34423058, 67932824], [20253971, 35728509], [10910637, 54912154], [88829993, 72123463], [10512407, 25959039], [51999893, 872581], [3963578, 15670598], [29907174, 12271616], [39600750, 5711402], [95475448, 48780598], [16802032, 16076527], [49170020, 22765124], [63248792, 49348676], [3734369, 49403921], [76830460, 89432449], [66371223, 87284650], [20814615, 94297686], [93419733, 85094583], [58907672, 11776975], [43440856, 7702294], [85021745, 43490967], [60544320, 37720897], [14344135, 47778642], [84303846, 57029512], [40740726, 7351010], [93064833, 6310517], [64868544, 54279065], [89835581, 92288433], [2454391, 978482], [65803113, 84558654], [6857807, 65999345], [84364477, 99660931], [51894659, 68084042], [78324367, 73051504], [2857297, 78283392], [86379669, 94291588], [90534645, 43026904], [25162998, 23880732], [66916033, 78903124], [10640119, 43251337], [22426295, 62300908], [11560314, 44165905], [63748855, 83015585], [62024217, 54290712], [88796555, 84564710], [21572652, 58646446], [69925821, 64340219], [27281022, 56866562], [69304094, 92420279], [27852161, 11661572], [3990494, 28542327], [38376732, 73944761], [38092953, 49876236], [6245812, 3527463], [90541742, 43399242], [55360600, 23923454], [77607810, 57619231], [90239054, 650225], [13858705, 26658882], [88243752, 69554425], [78162558, 87960026], [83312128, 39979499], [60373420, 38696611], [90144947, 4415954], [1043383, 39572331], [73600947, 48277413], [73323726, 99964730], [36412994, 22314000], [3704622, 17940947], [5926635, 36286467], [86203887, 46050741], [94991592, 41712080], [61835376, 54303147], [84586142, 42945612], [628664, 14936856], [8150380, 1540867], [25111873, 11161209], [48451169, 14331649], [74543241, 98669190], [19111767, 67563228], [28818933, 97115843], [10467218, 66900072], [56992086, 53090329], [79909522, 57384748], [9926770, 61639851], [83938101, 71682041], [2537429, 78916483], [68934148, 54199105], [81672397, 96876524], [16024993, 71928741], [20583367, 68464485], [79379721, 9768666], [37944703, 79541801], [19024414, 87384162], [66852874, 73740031], [96177499, 67765258], [31199464, 43432399], [3508733, 39502444], [33705608, 74914834], [46479439, 11358298], [25485159, 90591407], [20399093, 93462483], [1650116, 42041913], [44961328, 10542733], [6126768, 52756289], [66045432, 9033201], [58834340, 24101763], [83705599, 3797833], [88583587, 91626983], [76198194, 58990864], [74219148, 18322614], [6632537, 6567075], [31283612, 14788753], [79972337, 8766908], [31463165, 9676322], [61866682, 58685850], [44352145, 45713486], [62360633, 13219335], [43766259, 5834385], [88810076, 85216823], [15130733, 54565541], [40165373, 50523029], [90067239, 1467643], [90442889, 695568], [54457360, 28529263], [14937404, 51856266], [54153119, 86824746], [12032120, 31769628], [42858168, 58174060], [35338524, 61091651], [11295798, 37748548], [85316778, 26953376], [85831030, 84532236], [87907158, 83063071], [97236463, 29427940], [29094685, 46146847], [95855656, 39690480], [85621328, 18504773], [76255673, 37540455], [94541646, 83445667], [88778721, 51877886], [63802029, 33866212], [38236429, 79825575], [61742450, 3410515], [3506879, 40474938], [90159044, 4947252], [20209846, 31979046], [4369758, 92546194], [80780046, 14942471], [34983097, 92807877], [16438187, 98037809], [88950280, 24917811], [76904533, 27942449], [50641017, 84929087], [64008971, 16495400], [88330485, 50155544], [71590306, 14842614], [97680403, 10091290], [98483203, 89025606], [22345290, 25012142], [1171879, 1639490], [29064234, 53971839], [75379062, 2396049], [9939956, 69156803], [36494415, 93078864], [863203, 33907456], [81404471, 26494639], [83035913, 70114114], [75340973, 72087964], [18308102, 75952114], [81359411, 57538135], [59126973, 47151480], [21041924, 90396269], [32299444, 32327532], [70327892, 13122829], [56513898, 15032193], [60769742, 14621781], [47931244, 7642850], [32104914, 59736303], [67350772, 78405571], [7839163, 77009433], [40036804, 38716126], [79856911, 87131957], [61526882, 31763872], [20876970, 80332738], [80214375, 26647798], [64965437, 77043864], [18321786, 48055272], [85958609, 78177854], [17120578, 95928118], [49072878, 92025164], [18590755, 73643370], [74389874, 52945580], [44659668, 51381115], [43338954, 99321803], [45067996, 68766141], [68198015, 92217690], [2263465, 72418456], [95119190, 61026743], [49978192, 80874983], [5361585, 20413605], [93690448, 71910115], [37479582, 97396934], [31622795, 33752239], [41609476, 31015984], [80173330, 50952226], [47990735, 1116581], [4582126, 25184371], [59591848, 75535000], [55194110, 15946532], [34593371, 97460543], [88168679, 54530162], [56647057, 18630028], [79088096, 94700888], [66650175, 24560833], [35397250, 16305452], [82730298, 23196234], [65692049, 82558359], [86202158, 35805389], [58814081, 29592932], [55990278, 14958637], [65859198, 94336241], [64901687, 77327355], [66311588, 44386957], [81421851, 13637917], [10492305, 99002399], [34373367, 22971209], [71867130, 41129790], [5834411, 43137813], [35407919, 28238588], [31450183, 51385920], [93301941, 9413786], [67526476, 29050516], [70830918, 59696776], [735039, 8661012], [10344864, 48876785], [92313878, 41107959], [90993086, 28951642], [47508133, 55728383], [63546529, 63080615], [48313423, 4578720], [58510349, 49672653], [32441785, 56539828], [49128408, 61389410], [10114989, 20151327], [65069189, 81577104], [34594602, 93037438], [62440725, 55560029], [46992270, 28302809], [14170677, 22089429], [28791203, 96322191], [64284110, 48501089], [76247731, 71951030], [44203130, 67359832], [76432904, 46023595], [88371074, 56638153], [44654050, 61461321], [94277640, 83734996], [27318963, 86611877], [77211738, 56574902], [28588263, 47140155], [45454465, 51753857], [57710358, 8886450], [57040609, 56489939], [89710432, 92001955], [16011827, 1609470], [70019176, 53983126], [46776018, 9916974], [78013159, 84247724], [49371060, 76230698], [66715735, 19648644], [61528107, 16815734], [57266282, 67908434], [18525633, 96401420], [79357193, 51061434], [51407192, 78572172], [67771709, 11273928], [26498957, 42945903], [89870922, 47770750], [38869780, 22409141], [97452193, 11218274], [11219314, 74098498], [98886748, 96879725], [70265370, 15720720], [46316969, 40291668], [54769907, 54671925], [80943489, 64972022], [39158339, 65131185], [42568919, 61521766], [40025201, 54828238], [45154945, 53838517], [33696675, 25079182], [85083884, 97922810], [11435122, 58840487], [90420107, 28852999], [72839952, 19011744], [51001903, 56116414], [99838933, 73406366], [59806309, 94406904], [67319621, 4638344], [33871849, 76537464], [13740459, 30836534], [26761068, 60552297], [44794400, 74354944], [49537912, 90602721], [92328840, 33507571], [2312078, 23529867], [16080718, 73278709], [83200137, 14582939], [2755373, 63307401], [26862223, 60245148], [95688195, 89725383], [17288993, 97658244], [43023425, 58739851], [50830546, 15667063], [84347015, 48236956], [1549646, 32040013], [77072056, 27728583], [64705175, 16465426], [88079702, 99736415], [58069839, 9078579], [21360354, 1229490], [5261150, 51799129], [50608574, 92936479], [9829505, 58694484], [10904915, 97179974], [38512132, 3247815], [60215178, 85001491], [33708371, 98963205], [54358490, 68427190], [85355524, 57660022], [1910017, 67322678], [36400027, 74090016], [2453983, 37692381], [28059559, 40292394], [93666665, 90237237], [20995536, 97866080], [16060821, 28233105], [76712388, 66031819], [5560470, 75196884], [40572048, 39684106], [31172431, 58633106], [5656651, 63099507], [54033301, 95511163], [95569209, 35706022], [60963753, 5166277], [5208678, 14555270], [35366347, 35832295], [75822963, 10117005], [11508349, 75315243], [30263577, 70448931], [24513104, 87386171], [70680826, 38032], [647472, 5197666], [42504790, 64561469], [57040184, 39640548], [1504602, 52443390], [57460307, 84159086], [4890056, 50106129], [7108660, 67802635], [12780062, 12796280], [45164218, 29259640], [80459066, 7909793], [23748664, 16334674], [65074015, 22858570], [62996730, 25048907], [56009251, 97024714], [98563611, 39742722], [49452350, 16164318], [26622527, 30198852], [78297444, 62317923], [81476661, 2904240], [59460441, 45328932], [87977698, 99448076], [52084961, 13399867], [89870811, 44900696], [45864098, 84957829], [46352149, 24299885], [97739889, 71291479], [98117489, 67804716], [36367697, 76662148], [38677665, 3950518], [79593416, 67264812], [97136286, 70275715], [87132431, 68570409], [97402105, 21265421], [75067882, 19145469], [4852423, 74494334], [10760385, 70821294], [60751245, 16658065], [68162795, 69881965], [24696334, 30303787], [27926881, 38810159], [63216776, 8075460], [76590421, 11490649], [23226362, 37718481], [19851298, 85946859], [74327037, 94101406], [96332299, 18277528], [7814056, 83311266], [59016683, 34709118], [44848373, 28931359], [99011511, 24295901], [98276333, 98147167], [89863112, 86923229], [20277886, 38084381], [64941723, 65410831], [57438532, 96630085], [16867620, 98875661], [42372977, 54195593], [96891903, 46083619], [56788687, 69264047], [53481379, 23514404], [97417026, 31349770], [15690990, 75951183], [51855630, 31026822], [60927643, 21929827], [51629188, 43601564], [97657656, 80663317], [4545303, 75441043], [79295447, 8336207], [83619267, 51480343], [32170481, 31298214], [26946128, 86070690], [46122930, 99978499], [43264525, 35218914], [77831339, 58776380], [38531643, 5506327], [21887155, 42982424], [35134706, 76609905], [94417829, 22040794], [98657244, 80912251], [35971203, 18248100], [49080440, 49752985], [43797979, 76365630], [35203328, 32269382], [77909638, 31120335], [1339067, 23832813], [85414325, 89024598], [6845802, 25919271], [43717501, 52555640], [20838418, 19498171], [42757264, 26861437], [1458602, 68544613], [22986101, 643906], [61010592, 517906], [75944202, 32030752], [50891806, 57487676], [39706100, 83382515], [85465447, 24942329], [99428381, 73271407], [61234302, 88597146], [907867, 4656465], [62961925, 72521039], [42410186, 86618280], [54711568, 16199662], [7183257, 74493791], [54896707, 12568564], [69311659, 86847523], [89044693, 78037234], [92514673, 1443125], [13941737, 42254916], [26328027, 97796850], [72146547, 41815383], [89724550, 34742804], [79182702, 27897283], [24678563, 55032785], [79157504, 53508906], [52015251, 18299257], [14156156, 50091243], [1801147, 16214444], [53086480, 98797351], [97282672, 43786197], [95284176, 35165232], [62048947, 2540175], [68045521, 90005477], [55483894, 99503147], [95783425, 21649080], [65443936, 76933471], [36377480, 98274795], [77203992, 81495390], [32849035, 27411461], [31666147, 90007647], [95114259, 86434696], [164708, 51885970], [78586900, 16263573], [58214266, 49271068], [95223974, 21586974], [54649173, 2999609], [33201594, 21149164], [54454235, 80336394], [35935197, 94614795], [33121317, 57386914], [21930609, 33141218], [3337401, 28137326], [24326728, 41647074], [98099444, 22863194], [7885774, 1998148], [22334581, 91488455], [66293468, 49033570], [95506286, 47183119], [14554301, 39256180], [3332186, 13932259], [63750085, 4340892], [30626785, 85062414], [58510339, 25125361], [78738890, 76920801], [2553894, 13743738], [30712267, 79212427], [49584234, 88157161], [9788182, 60976101], [5931891, 3454455], [93024949, 54031117], [21629046, 87658958], [42768816, 93455497], [74871461, 31308260], [72908761, 63336722], [85689179, 94106940], [89394948, 96340546], [25238792, 94932291], [51741943, 46265674], [21629289, 28692380], [15405151, 12445483], [28899849, 87725667], [98344653, 58754463], [16951324, 22013072], [82793835, 85456831], [6849118, 64995918], [35578095, 81019656], [15449763, 38814937], [4206114, 55790771], [14567973, 9328279], [38002137, 12188366], [86231947, 99916743], [44005536, 64164366], [25550723, 29847119], [91472568, 88969184], [16391059, 24234908], [61726468, 14170267], [60693503, 5725297], [43956030, 67222640], [64757923, 22556958], [31092194, 52728122], [16031416, 16673871], [35371191, 71850622], [73852368, 19610342], [70982351, 8585566], [61016514, 30309754], [3092968, 91917699], [13799396, 69416537], [44490408, 81259990], [84830649, 41567774], [43715342, 1862317], [96003373, 73757837], [52694758, 98868313], [97149482, 26476648], [62880072, 74117895], [38958809, 14888611], [7743602, 80283979], [29960606, 13364811], [69723803, 3089415], [60582839, 6723302], [72751462, 25885823], [85200564, 37263740], [70590449, 35974848], [80013801, 10568773], [50941932, 13230502], [78948897, 18888763], [7893646, 91480918], [59045044, 41925477], [40296770, 95247502], [92830321, 35121513], [14130447, 16913309], [24911807, 96077211], [80089644, 76992474], [20266300, 46141253], [48247419, 3610458], [17233179, 74610913], [28629589, 97116162], [19200274, 33302454], [85035275, 91564560], [75358995, 39397377], [26622941, 21952519], [23517970, 44082416], [81704783, 68735868], [7023418, 95513608], [79005486, 73344558], [71347978, 78174114], [92326089, 1118412], [15499618, 25989162], [49841430, 75528010], [76668144, 59376520], [43742238, 14563468], [71283911, 54238966], [9698405, 22747410], [50273201, 14038178], [37510268, 95070986], [71183984, 83253867], [82058654, 94048517], [8550435, 30832668], [90098735, 85620328], [93079086, 55666079], [18280045, 3549450], [70669412, 72942953], [3559009, 90626910], [60190449, 96573671], [95780137, 94601625], [42402224, 40949014], [25497164, 19984446], [61296749, 15077058], [96561270, 38383182], [12259527, 69408820], [53174190, 55070885], [73937001, 6243178], [63772758, 43103992], [76196102, 8355915], [51736683, 50175144], [37253343, 67690223], [64250883, 7973091], [85845399, 86882078], [36804900, 28064606], [20356832, 90797015], [52442896, 90729446], [23404960, 38119003], [80872107, 19250537], [88135146, 55110427], [7161321, 54361202], [24999045, 55263022], [78941228, 9345777], [17709556, 19653986], [64927915, 38655386], [7546901, 28302975], [96139830, 84314100], [63852812, 20866576], [29693087, 6448671], [75207452, 97863081], [16787153, 35821319], [18051788, 94346241], [70146652, 37699421], [84237747, 42070119], [12772605, 10913639], [21294033, 22733741], [59086568, 97166666], [1258505, 63905542], [51890154, 82563545], [4563998, 95781593], [68486474, 8974136], [51599811, 59304721], [76832781, 53346543], [72228039, 45024947], [2404112, 17140614], [27920063, 11919728], [82785405, 30642448], [96610848, 11792422], [87870101, 11895486], [50703148, 38295084], [48428799, 35001055], [93187905, 7189885], [90291433, 76319861], [77518839, 80716396], [40866877, 12573195], [41511787, 14852855], [75628926, 57019477], [52939680, 57258658], [33562773, 48246370], [90556492, 60922345], [30298629, 96724726], [6721741, 94081639], [30919657, 31691444], [52001355, 91373024], [1527705, 94512832], [7878841, 89955661], [38857654, 4264947], [99388316, 76715778], [71514165, 27253247], [47984828, 95673305], [92736847, 61844498], [40547194, 18506333], [43226143, 24490068], [1959184, 96528736], [56411544, 12367707], [6181497, 46676504], [83881659, 77055869], [24305982, 64108657], [40377434, 1420810], [58256655, 24807117], [38788842, 75400423], [42169152, 48531447], [40646975, 2982773], [56892694, 85451394], [71758059, 90037219], [50985081, 70204381], [5015325, 56153389], [52295649, 3417489], [27742024, 40643805], [55067141, 89820395], [88977075, 38441045], [96942786, 28359332], [36746944, 15182160], [19588073, 48541531], [64941329, 86078597], [15213752, 48265468], [3838171, 81486613], [40434401, 69832058], [87779256, 96518482], [52541903, 12721524], [69817502, 43992806], [54261336, 36381986], [5694941, 44135400], [39243632, 38215858], [49522338, 79464598], [68360813, 97767100], [33596555, 28423808], [58638681, 44505941], [72733462, 59341662], [90247072, 66969752], [18195227, 50741936], [96304431, 57541487], [92876291, 56385779], [24155139, 60650340], [10624774, 45578971], [81263302, 85014513], [27151773, 21286368], [86275212, 99625091], [43232124, 61295849], [27851286, 29098898], [22679345, 62983457], [34382231, 14997709], [79931922, 96141071], [75255514, 80802391], [47160333, 20877873], [54404707, 97162904], [1384706, 5381411], [95815794, 73948375], [27739594, 14389136], [33109292, 1683653], [69720330, 25446712], [49210089, 73737637], [78168032, 25034231], [35603146, 54978852], [95946695, 86509092], [54498627, 40114674], [35972599, 19253593], [98919755, 17584874], [37853653, 33907111], [7397007, 72517765], [58629768, 78582738], [33061448, 52634246], [81526123, 17768768], [86612510, 35796951], [39689620, 37941899], [40324673, 20228134], [58770487, 55237444], [9207602, 72000620], [52655812, 67772361], [23367422, 34024734], [23255656, 40470588], [15911437, 44366615], [63010552, 2375152], [60394912, 5637302], [70531668, 83382752], [71931370, 45235395], [87804950, 96976679], [59658766, 55569517], [34406389, 76651807], [52188770, 59864288], [55426186, 34363198], [15806387, 57288546], [94493514, 27779659], [569754, 74129688], [98570278, 98329606], [97958259, 80609256], [31026180, 40951813], [28493705, 75865064], [2905959, 6331478], [57762672, 37982753], [7673551, 7200405], [51296165, 712199], [73478276, 16536604], [87604125, 65857835], [92457001, 47888], [61024405, 2657790], [34794107, 24295707], [52733840, 74603469], [3033693, 8795346], [89739766, 20327034], [92166785, 51164707], [40485203, 64170499], [33416283, 79205636], [11945850, 15996188], [12967241, 56570105], [49348396, 84604692], [85384477, 64649082], [33773788, 48846821], [45397719, 1978974], [89354712, 67313123], [61187562, 28399476], [62165434, 63449143], [91079224, 49812462], [93618836, 13415453], [85724088, 46878853], [7396512, 90562221], [19133703, 37074409], [48821720, 52617941], [15794086, 97000936], [83641913, 16730562], [48718421, 24816036], [97516736, 39360398], [60314067, 47639570], [96926293, 20623336], [14230438, 28434984], [17108500, 22773401], [21598984, 60462466], [70718213, 87078663], [42741364, 70676600], [12573769, 45679503], [85102473, 37954608], [58149236, 91790095], [82173166, 85566928], [49136971, 24980944], [92876137, 60726792], [88066707, 53971772], [38360685, 78570745], [34148456, 53453256], [38532647, 29288421], [16791874, 5768459], [75697015, 88573177], [91273315, 79161011], [7946322, 99412353], [1770749, 60836436], [53199917, 97821690], [53117835, 35855794], [45745004, 10821832], [68734631, 88778690], [39170181, 65012506], [81500063, 36390743], [13797027, 72215190], [26019221, 84147821], [86727901, 6390489], [42489282, 26886416], [10183734, 16732597], [39856634, 52360052], [41608187, 81658144], [8709031, 81309801], [95012324, 38487866], [45667017, 46091967], [47380401, 19731523], [16996435, 58356635], [64752390, 68054937], [12921537, 66912355], [70386206, 62054900], [96545525, 21926280], [20837454, 21531403], [47829831, 79356608], [50681785, 88846431], [10517675, 73823586], [86456840, 5806319], [47923200, 82130870], [43799832, 7374786], [89592991, 42705608], [38665993, 83614925], [16598324, 45689804], [85079996, 41229627], [45163859, 64811586], [78398367, 63920164], [53256438, 78692142], [63039353, 5175217], [11106528, 48082634], [58229912, 30801251], [84938997, 48807952], [58828111, 99535524], [54919029, 91188578], [38072262, 99864272], [31163086, 49127012], [44019470, 95263718], [10980714, 83511562], [4268441, 95029900], [46085363, 14743522], [33796353, 52216854], [48611950, 52463053], [62219656, 86965446], [66869362, 38129600], [83276450, 65944566], [86455700, 252409], [30294540, 23528800], [15541804, 54146490], [6753314, 94415320], [87647250, 712353], [94358844, 45730866], [94739226, 42883278], [43960034, 81668610], [74256303, 54937484], [85409724, 89863102], [25317000, 13232378], [37879361, 57805555], [32848627, 16208296], [72166805, 40742433], [95511061, 94849000], [96833310, 13829177], [60732301, 23821726], [99000218, 73765300], [61944861, 69827992], [27617959, 51957876], [33329461, 19061717], [81883903, 48570441], [54184445, 19494174], [68858079, 39151644], [54072769, 64016023], [17907661, 44570782], [85402036, 73205106], [20418146, 96900134], [616809, 48356715], [49897782, 45847318], [3767797, 98095717], [77326633, 2104325], [88236916, 57615895], [99881972, 12964156], [70025656, 61558028], [55196836, 61389255], [90746950, 2814007], [50498902, 8685775], [95385034, 55265116], [14051430, 47809675], [70106368, 67538475], [13657114, 5850773], [41842661, 43067383], [36811536, 62507408], [35532493, 64978350], [30667683, 69238009], [57813494, 35306048], [89694009, 50879145], [40472690, 69951445], [98621231, 6785674], [63390953, 73475521], [41069922, 98394387], [10564849, 19696510], [54395192, 59790934], [42780934, 29799944], [55697902, 11634105], [65505846, 18723375], [70834804, 46193141], [13686271, 92678117], [19259839, 87538806], [93004538, 2461351], [2171775, 33702030], [72317763, 20224043], [3414018, 63130749], [73761565, 94353740], [26860423, 75350098], [24369593, 74357063], [75884568, 99035880], [96512075, 27347252], [85384171, 15126395], [26971241, 19238208], [50118277, 21356279], [49065826, 87720071], [43367974, 67590995], [64795622, 24906498], [56571887, 94712126], [23127499, 92307783], [44066168, 82153244], [80915666, 31669917], [36941029, 35156370], [31727414, 41746901], [89011581, 51074665], [15571592, 95922462], [40749633, 89219051], [8677057, 17089427], [49616486, 46976852], [88331855, 26135684], [90864610, 17341680], [52731219, 11518706], [55209750, 31962764], [63138654, 45854724], [11118456, 71108935], [66583757, 8981403], [16664720, 48068092], [85649426, 27162333], [75551700, 25385784], [63521528, 8483212], [43123014, 49566331], [77646581, 11499340], [60378393, 9449812], [89012271, 91863445], [63065772, 58219028], [35962248, 90026961], [97006401, 46226706], [88239412, 24294035], [60891730, 37128652], [11968887, 21598100], [51503182, 32885004], [16389151, 4586626], [1801656, 88970493], [81905805, 31897383], [97380512, 54846926], [29929314, 15627393], [51759583, 34965602], [79522435, 11609103], [57515455, 69766316], [47504299, 99715976], [4936519, 88767368], [61429072, 44389374], [16361748, 40490066], [23074542, 56841333], [88558290, 22235632], [71583604, 46723960], [68719553, 30900042], [1806383, 6591415], [86727246, 65089205], [87465153, 89609295], [10305535, 81940609], [11352262, 97806792], [95965357, 37397686], [98437841, 76428017], [56512074, 92320698], [59939910, 49692992], [49371613, 48790584], [75485252, 22725386], [91769054, 51773156], [20688620, 28889571], [86567078, 20126896], [9215984, 36030496], [29767371, 72629590], [11644955, 91813127], [1299655, 86318063], [70346399, 96882364], [68067760, 38298580], [85824940, 6186014], [16053458, 39382182], [8278876, 7576455], [14695514, 38101008], [64701824, 63507645], [53766645, 26002011], [48772555, 96044115], [96639780, 77664079], [65685139, 12334590], [23987741, 58317869], [33269282, 86644600], [12080835, 56685046], [79097143, 77436652], [28033021, 83629653], [19241036, 12905687], [73501417, 8189965], [77333611, 33430257], [40879268, 48739544], [29844677, 38525118], [31429318, 42244483], [29672773, 63920662], [63966035, 67973841], [24594036, 16219540], [80111935, 56044814], [43203466, 86251521], [15120077, 84145713], [96476585, 64558825], [91616715, 71454741], [49642398, 4218946], [90303103, 17962359], [63016305, 95381480], [24732581, 23775860], [73524827, 39451638], [36028078, 69601922], [55414553, 13111259], [12204949, 58893703], [88426206, 95608403], [2626729, 86342234], [57350022, 31131656], [910375, 43479192], [8108756, 35882382], [3654692, 42051340], [22434761, 68913924], [57376464, 43440755], [96667957, 83039655], [73256667, 99472281], [34503982, 55026690], [36069261, 98362859], [57880821, 61374605], [67754094, 24842758], [80303170, 15019490], [47101745, 70112582], [36300059, 541846], [54516803, 30343143], [86230776, 48985117], [9004067, 60365873], [58461497, 63176441], [67253626, 98356602], [76839909, 39737667], [89566194, 19523641], [46893297, 11963494], [93209131, 57399519], [98186459, 60752939], [67758163, 12693475], [11896743, 89577746], [13700362, 32295877], [39204120, 874782], [88520493, 79129631], [20912443, 41704051], [2151148, 49369796], [15484072, 86311805], [53979762, 97784670], [56769387, 46870202], [18647216, 63139256], [41479340, 60219293], [57365534, 2945097], [29695691, 91100512], [27987550, 4610961], [29862965, 60854627], [80846397, 59806464], [50202206, 28692635], [85750224, 14006982], [98960875, 72831573], [66311716, 79832654], [79867788, 26346643], [68096567, 47887206], [7441757, 69483924], [15776442, 62798230], [78926548, 53079181], [56999784, 11925298], [30992878, 51392647], [66092538, 29664565], [83904065, 1319019], [6209493, 33235526], [22823316, 36667448], [65855369, 3678394], [30714189, 68105379], [92231191, 88674826], [2946965, 71817729], [21032422, 23850058], [62114979, 42171790], [55927062, 77080359], [83090612, 88808889], [43817066, 17145107], [55283708, 4374353], [44813803, 8894507], [34120430, 25608030], [69426004, 5034749], [86672530, 44150927], [98571064, 77534027], [53057231, 39974017], [81199507, 18589778], [69934714, 93834085], [61346036, 62574549], [39352080, 30714629], [55330569, 98399619], [89604331, 71216408], [24179261, 51993331], [87790833, 48723315], [4370284, 60741962], [49409966, 78012739], [91917827, 75974097], [44952432, 54722299], [42846068, 63579548], [59532719, 46512283], [93131173, 73526055], [91077034, 3676498], [59738106, 83351530], [84807162, 88234315], [16035660, 27027266], [14433819, 36585346], [1561662, 88390195], [81655209, 74337687], [1938452, 78362155], [55351317, 41776297], [79095395, 74973548], [77922522, 87429093], [68635407, 14379445], [63073184, 99025839], [54834373, 7276559], [90808833, 72058390], [4718106, 59212917], [22900135, 98180822], [80058101, 11137307], [35186316, 11943004], [44850514, 12458844], [83215275, 89245429], [92363774, 66658818], [97673364, 31499921], [16067182, 39250913], [98642299, 5777659], [66660637, 60968932], [54544024, 49820908], [87541827, 10991054], [66635649, 27241726], [51786390, 42047981], [50075276, 80285539], [45239737, 53214081], [60054654, 71838507], [87997867, 69334127], [62398239, 16570814], [16857458, 71724255], [58422315, 54848286], [275030, 42316997], [73528214, 62205833], [44635876, 1504111], [44119038, 16992924], [5817212, 37714655], [7784953, 55448099], [25183164, 35190569], [77604720, 78841614], [66499426, 47038373], [25033369, 52154405], [1440073, 68448556], [69127139, 4755050], [88481831, 33095413], [58175709, 11399136], [32108591, 50899387], [40672466, 22896685], [14010370, 45982143], [73264935, 69826999], [14179510, 57682766], [32511098, 64032996], [22853228, 42333283], [48781285, 23127690], [81656284, 43686664], [61485941, 29739545], [98280215, 16537526], [68441837, 67213309], [89492868, 8167677], [60486222, 39371498], [70092448, 92967857], [88817318, 63270730], [86373519, 95318541], [28696160, 25077473], [40814587, 88414161], [24140251, 96944883], [39442169, 88261249], [39254037, 92491735], [12226666, 62551589], [66078752, 43926542], [80958877, 30262523], [61939634, 89422907], [96804647, 57713605], [75312805, 66750315], [43917800, 46989295], [70391585, 89062176], [40787842, 48502410], [38087567, 18049403], [56300357, 24263885], [98436361, 12546551], [60121631, 78991055], [72756003, 62629279], [46281391, 18287215], [28572865, 57774499], [44325636, 75798267], [85739519, 849030], [33644025, 39353949], [45144695, 69400684], [97312149, 68080197], [35969472, 12531626], [43394509, 71888753], [13173142, 23834449], [66068365, 88571743], [13535453, 51818393], [67008337, 26592629], [47079876, 57976721], [35550697, 58005222], [47613869, 97220964], [13893191, 18516200], [3843245, 20669499], [75903256, 14871788], [48331363, 40653065], [43990439, 29843915], [4228281, 16133564], [95347379, 9382212], [69148104, 35059148], [55029978, 57519730], [43966028, 65820722], [79759183, 29317701], [29748677, 93251563], [78793568, 77608716], [78414689, 94551544], [8562745, 37793982], [75293827, 52350745], [18003653, 34610348], [57960338, 18926451], [37476749, 54995025], [49246764, 36146188], [35664291, 42825541], [75932544, 48899175], [25222271, 88124036], [21872620, 5840162], [6117749, 81513933], [17505026, 91249356], [64631985, 86748281], [64504222, 39911335], [57274413, 27569202], [98889599, 46081715], [93320428, 89896592], [41619777, 50831339], [8222495, 86893923], [55169666, 86699974], [89676741, 5286232], [52771214, 87416982], [43032210, 75330712], [7357995, 65182025], [19639060, 24572223], [71322864, 92106217], [91899626, 16021660], [79307869, 45557413], [78945798, 92781269], [27903638, 59488377], [68884691, 25743458], [95974491, 76347043], [77235428, 90565698], [77464580, 47540531], [45341845, 64868029], [2147310, 81037410], [87217175, 19855775], [72849167, 64997442], [74366560, 49940464], [70324243, 69026275], [46602510, 87209738], [32766473, 19259560], [44733064, 78494526], [32791532, 71274814], [26693801, 82810968], [41730433, 57245826], [6721018, 15865778], [94990012, 68692544], [32442835, 56851846], [76706721, 64120570], [62861854, 74439962], [85836996, 52701997], [84428345, 81131284], [19752381, 68706792], [92990686, 44366273], [95735272, 84035791], [14346396, 85403535], [3105946, 61357429], [97002860, 69622629], [58150840, 65840385], [74977999, 28338940], [77480635, 58052789], [21845787, 73480950], [49124199, 79519850], [27303961, 97304676], [10504875, 56791700], [31268747, 24407399], [68984888, 75912058], [67709334, 72536516], [23151248, 93552549], [381652, 81141125], [95334092, 28405674], [9833782, 22970081], [86587098, 76111195], [13022974, 20073819], [23521464, 72325462], [2243758, 71990896], [80974545, 16605630], [88109727, 17727734], [49678785, 1769154], [62680632, 79865500], [28550132, 36339511], [77763338, 90090755], [17186939, 72222888], [68607515, 60052392], [40242490, 95620510], [79249060, 92036899], [7635587, 31778125], [15252244, 71095416], [42229824, 55863415], [39553048, 73432994], [795582, 66840034], [9334366, 94379879], [36542479, 78646581], [26844223, 46793074], [49952177, 79779820], [92593968, 93215342], [94392853, 88945853], [33840795, 32337045], [90661084, 39719039], [79686032, 45091779], [50298646, 94969240], [67247601, 1902231], [93771709, 39764526], [9224191, 87875589], [29559520, 46672951], [823921, 29828294], [22170212, 83981317], [19294028, 45765052], [54458256, 81280716], [82453014, 42709801], [76739687, 2367572], [47226592, 29834056], [14664532, 66679993], [92512347, 80896531], [52923419, 67530525], [25583320, 76399445], [48412425, 97666425], [68775821, 71053496], [98133327, 29463317], [93454435, 97069050], [61231100, 68083109], [11745487, 52077380], [60467315, 97246100], [85167040, 41597058], [7762487, 48866059], [96310087, 23632117], [30141227, 71478139], [1343590, 88711326], [18306817, 70643494], [49555753, 3223418], [85507178, 24311446], [7395970, 4244022], [67840734, 69431800], [78113575, 19529372], [42092109, 53432886], [15027856, 35998582], [20634955, 90295441], [23257867, 67595378], [29763055, 96808108], [46288535, 71837423], [60687492, 92834553], [62068131, 31503188], [72006904, 32907662], [44923234, 28197264], [68996443, 18743370], [44633010, 49375792], [73331706, 89934264], [63436729, 5859259], [94696459, 67595900], [92017110, 16127322], [26117279, 77623168], [61077262, 30124061], [47482328, 27667310], [66001497, 65659052], [44691400, 68808528], [71500663, 69427126], [80430532, 26794393], [70776319, 35393095], [53490618, 91302090], [53578533, 59758171], [77227861, 19361877], [57259837, 70523893], [21905849, 90502585], [52002948, 63758010], [3302154, 34578315], [82686802, 96119673], [96118358, 4176931], [61557990, 55463012], [15203860, 13726363], [75327041, 96345990], [41530151, 35675099], [84415877, 67713231], [96897540, 52315709], [26244301, 87211282], [50905934, 38323545], [6792076, 96544986], [3383774, 79682839], [65046126, 60971327], [65370545, 12630954], [18876977, 32190967], [44844982, 54725164], [80812710, 34290165], [38468925, 32176592], [11182857, 58525205], [61628303, 89576072], [90278058, 5302662], [82409512, 49816542], [89667696, 84322901], [2554833, 35523942], [38800552, 55771349], [87741618, 6213182], [25464527, 18777062], [53250096, 58772701], [65889274, 30146190], [37115849, 49179358], [58935409, 90139649], [93016856, 55429790], [40533779, 25925964], [6447946, 81367857], [2437772, 66918884], [95699961, 90267466], [58108692, 27828500], [62334580, 43036946], [9372773, 71568436], [16777531, 53266577], [79253969, 815877], [72580013, 55131570], [8831681, 30591965], [63918889, 83168865], [59458911, 61600491], [12831933, 12693905], [44274878, 71832335], [17182196, 70303870], [52371406, 41093550], [33207214, 93988835], [87479144, 64772285], [72072790, 94513504], [76055167, 67225160], [27183158, 78337554], [55199636, 49107821], [39172086, 15704552], [22898441, 65320346], [47600176, 32928538], [18034800, 66156083], [24444224, 29689149], [8112862, 99776529], [5018716, 13279922], [27386169, 69029788], [55314384, 28363436], [7538794, 33148674], [56094863, 94802671], [69466084, 1136290], [15868468, 23015108], [96379164, 9322968], [14867271, 17278418], [61317686, 62328811], [27834085, 53269871], [52527547, 72435283], [69102456, 66896821], [33110648, 37404606], [41965461, 14147524], [36439586, 98345823], [58438059, 88197650], [23607887, 68421392], [91254381, 14352846], [26680918, 4344534], [93239137, 53887732], [28268470, 82081854], [42782527, 95247122], [97392741, 54662145], [78575438, 94198781], [64363954, 90297265], [94950191, 19998069], [98018961, 62606616], [12143316, 6250579], [22733806, 6649570], [96880331, 55262107], [99378643, 59405756], [31782257, 27707927], [16080239, 16968341], [61514271, 37427540], [70380162, 58171606], [9534029, 90981567], [24990389, 80436807], [58483942, 60525635], [60797, 78207299], [24955925, 11437155], [22708489, 70756664], [33519663, 97937958], [26649404, 91432550], [8300935, 79897756], [33317633, 42719806], [11568357, 34769392], [19477396, 12524561], [39129145, 66967663], [77379662, 25099855], [36893261, 21004265], [41261671, 85873870], [25603191, 93674586], [62907672, 52599643], [48007149, 43118934], [6631065, 32467388], [2874372, 44200065], [26081627, 98626638], [61790582, 35665331], [4504330, 55557879], [34608391, 43565122], [73439142, 23572425], [90382288, 37374399], [29706267, 693470], [80217694, 45495128], [1072245, 4553788], [99923267, 11255718], [35268060, 8447230], [40931361, 49860239], [51264622, 21083859], [43795981, 7675403], [29022327, 93338889], [39527438, 65478417], [59398423, 49185919], [246742, 94643056], [98442601, 73451251], [32335640, 27962394], [58776517, 82231482], [7324636, 69889776], [31582853, 80868814], [11687792, 92726575], [49901068, 8912402], [18803497, 53002640], [96199409, 61211872], [61171419, 80219845], [74246908, 55923109], [44550679, 23965368], [81777983, 37086060], [84042812, 36921787], [31384806, 57108009], [5109517, 93409061], [17032006, 37345045], [43393110, 1627278], [85025278, 33351167], [56852467, 44366020], [28166168, 66653839], [19536085, 73741253], [2457385, 66527575], [67133799, 36544541], [43528089, 23678098], [55698453, 21523282], [60829600, 65694237], [81771473, 70053696], [21303260, 58638242], [97402126, 59019447], [72355194, 27861204], [19145873, 95841110], [72753883, 20041612], [64493983, 4323885], [22683168, 35144225], [21388202, 38670901], [86229429, 20030197], [36900807, 77646535], [13128745, 31191427], [64232589, 31006422], [48111937, 48467454], [41335847, 16961577], [89321421, 73784600], [94044739, 85274352], [87589133, 52311780], [64290937, 73912743], [43597818, 99264987], [34069688, 30113058], [20935165, 75947196], [71047219, 92455472], [22134393, 13341577], [54444718, 23021912], [19816680, 13961874], [28961776, 63311053], [86678267, 44498404], [78962114, 82754721], [13439664, 87972060], [79581419, 14194431], [82272108, 84187882], [3138333, 79269869], [30834285, 2898497], [23825413, 37848466], [46536340, 73990392], [93536557, 87213142], [54684217, 91634351], [2248212, 21662143], [72831483, 36481066], [55450632, 17262287], [21031936, 19097343], [6583499, 60452417], [9399174, 81588766], [69076896, 72499065], [6718057, 8774463], [7436539, 29785328], [83297533, 40291110], [45341910, 84874525], [57469290, 26191889], [38304730, 74916304], [84858047, 96420658], [1127404, 64186073], [28084231, 18296724], [15843634, 29013975], [76371314, 51445461], [204421, 24187225], [99919636, 55284178], [31454265, 91278238], [9780348, 62922811], [14790898, 90918461], [11744450, 11554469], [58847081, 89192731], [89429241, 46439073], [45562180, 89882814], [97248654, 66803184], [69926892, 13112681], [5948104, 42667959], [75134677, 4776198], [25653274, 60393076], [62517428, 62479462], [56842687, 79274429], [66545615, 85379460], [42043618, 62846291], [78087963, 34338137], [97187958, 60962644], [83923386, 10923486], [38570436, 71773038], [80541905, 71427287], [33113094, 73924781], [40085435, 23617833], [18413028, 65418341], [14592218, 88612987], [34456447, 69991004], [46368177, 69410658], [35287288, 77408545], [26192733, 3018199], [83089433, 22053743], [49305392, 11184259], [4801333, 54487366], [35754540, 32170980], [85007292, 42006662], [98255014, 90648751], [86397236, 55289585], [92819168, 6306314], [8391077, 30407129], [99662597, 55653125], [92811733, 94080554], [74431745, 99101702], [67610308, 89319583], [79347355, 90625036], [81976987, 99854689], [39912428, 8834859], [57250971, 90099813], [22143508, 2212079], [81779672, 37038341], [20713041, 46475780], [65287945, 92190745], [46845716, 72951480], [37456175, 6646002], [1472199, 25807748], [24050599, 51653260], [5015871, 69058889], [37683378, 21744080], [85578486, 69255470], [48036379, 21626810], [71273486, 14191821], [37608170, 23504400], [72208350, 15288599], [2598114, 68036930], [43211471, 91948673], [65114193, 25715645], [94678616, 42154019], [51599588, 23027886], [57770610, 36828391], [21891300, 82257344], [79869388, 78656804], [84217172, 84612699], [91058969, 24607664], [6503612, 98880074], [45925550, 2106354], [61950115, 27220350], [7151011, 17824670], [18574172, 15793740], [26458138, 6308985], [40492129, 79656365], [30066957, 81795773], [28921988, 88590693], [62958775, 59508062], [29894250, 46732305], [45300397, 87325366], [13496722, 26011767], [97425966, 70674107], [60577704, 42311468], [30177058, 98351631], [4153802, 51738559], [62509880, 46921413], [2859991, 38111436], [40773855, 58953911], [67645578, 62345532], [4430177, 20613625], [61939932, 33127106], [8707014, 19471236], [23410227, 60768956], [40014529, 37509261], [17676795, 1940631], [16829192, 26804695], [83207117, 39943684], [19510831, 23294964], [91956911, 18392988], [43015283, 67831187], [75051962, 8079362], [26109018, 79022944], [74278926, 37055393], [64931563, 44518775], [87921563, 22087496], [12905187, 57267851], [38952199, 6705739], [33437575, 58526277], [56913177, 52870728], [82639590, 11589973], [1065933, 79266617], [29520916, 73818489], [76182194, 91891652], [38036288, 54460230], [21280336, 84064564], [53612897, 13510053], [94586842, 55300054], [39072388, 73383565], [31977652, 70338562], [17052017, 71490165], [67503318, 22180329], [40664121, 83703819], [99442645, 83496329], [44479423, 69444512], [51836876, 77988588], [45004681, 64155910], [90829967, 54950221], [88177627, 68171885], [19064339, 65328979], [61533025, 43686154], [60124990, 2278091], [63982965, 41649105], [86619021, 47134234], [42457167, 67435509], [53888697, 40615091], [71844284, 51004812], [80059593, 97407817], [13982938, 3672492], [59636024, 14927833], [39689425, 48144794], [22576918, 1643448], [79103430, 6578850], [51544636, 54055614], [99060238, 96095616], [32321040, 14452861], [59318721, 6448853], [28178941, 8559950], [59132780, 18020797], [11818731, 56268874], [33917473, 21926492], [17918742, 42507337], [59713259, 57989279], [64136370, 41439864], [44410065, 87461892], [52110735, 40852413], [70951090, 78478863], [54476668, 75538134], [84603132, 17021210], [63611614, 47631702], [75867754, 36325696], [9469464, 76082072], [24026428, 19702414], [91369663, 16420935], [58831106, 12480680], [5088727, 34195471], [63264771, 23268766], [98669609, 94836322], [77814468, 71960543], [9389389, 83045942], [9520039, 87457518], [19994802, 30538649], [76852119, 97346788], [37744962, 62793445], [62172294, 3747174], [90345993, 5783322], [7185374, 38518114], [40215105, 29796911], [16837292, 76943934], [2480397, 49496952], [47726218, 99665023], [78624967, 22308799], [67965128, 55537580], [82309100, 84544648], [75719811, 28543522], [75801305, 66359857], [63972570, 95418219], [14011718, 86866320], [75183787, 47426140], [73352864, 43982965], [29972988, 43852149], [58563165, 31179255], [70472100, 7862033], [64192558, 11819537], [12364753, 94677022], [1693957, 91046048], [8218520, 14171552], [46540291, 97576924], [95351673, 78372102], [96522988, 46815244], [69052319, 22772127], [41524951, 86149194], [96206239, 30210603], [39951626, 98134820], [5096099, 41374965], [95305657, 64494941], [5398685, 49310331], [45230323, 78078159], [53507752, 86267935], [51546953, 23473799], [43816392, 21800748], [67701848, 3127544], [86712044, 29470425], [3944051, 58928867], [50431606, 95227061], [47479188, 1017282], [71209193, 60569049], [1090475, 63423669], [59537231, 70742428], [937408, 39314245], [36539878, 58918032], [30288044, 46997481], [33186628, 53310918], [64702884, 56649732], [41884953, 36156218], [29213587, 70518922], [98140283, 30038993], [33249500, 10405077], [73267058, 44673403], [90990065, 43767500], [13475425, 34381830], [4642579, 64087184], [48489010, 26179313], [87670151, 62047586], [71849422, 74619375], [26394634, 94227880], [13485658, 53975914], [10186683, 4401426], [79483409, 20942382], [98375699, 68191229], [97719807, 54109621], [42521192, 9979646], [9758380, 60574879], [32854733, 71333047], [24093061, 26597204], [58075334, 75999067], [41217435, 62948801], [98083321, 30300065], [23664208, 78449354], [84969110, 59128622], [58287441, 83049375], [46701784, 1219288], [97241858, 78887986], [63534520, 8335975], [12202364, 89375423], [91829273, 37859103], [96849369, 68093654], [44249116, 47025886], [56464779, 58009210], [15603188, 80739535], [67207775, 16273217], [76331177, 62801832], [15279824, 4792463], [28788984, 72173068], [21785336, 25617458], [1274298, 71939622], [50906895, 96978641], [42400892, 27744358], [54161897, 12869217], [93153578, 4594086], [91101738, 43687392], [42371066, 5813557], [91028909, 72925494], [48386521, 17949352], [88845637, 87044501], [81854444, 44399639], [44318803, 48283627], [20888155, 46935856], [23351860, 87573082], [99588670, 89087655], [35876905, 20270124], [32353699, 285823], [47480406, 692670], [92002585, 81396839], [15096176, 37560903], [475492, 70573466], [25705967, 61918196], [47589995, 6229613], [17718316, 87143206], [49734752, 95450879], [24771451, 95169157], [22482856, 84072673], [63569350, 26253560], [65486785, 8000127], [23452731, 99376942], [42123461, 9319067], [61485378, 62840534], [1233982, 37773578], [4528207, 95892182], [27238267, 864862], [54224340, 64490066], [25540180, 97000747], [76414231, 82481397], [14341040, 98016205], [37340754, 33739990], [20974578, 47641925], [46417967, 6826776], [75637523, 83482159], [8682893, 19887992], [51931033, 66949635], [44202554, 97237861], [13041901, 69403191], [11884643, 67224604], [52476693, 69390728], [82669889, 26768601], [30604527, 57807541], [63144571, 27004194], [36970007, 43844007], [45161419, 58073447], [78711821, 74318126], [74021929, 9968674], [46691058, 27221955], [20547337, 35192227], [48610832, 62515256], [46466802, 84645460], [58487209, 1129712], [69165593, 72124045], [73010968, 63654613], [33109634, 18214691], [42774272, 45295652], [85185444, 84322538], [74259659, 30496769], [21099920, 81053546], [76945626, 99902756], [39185537, 46429600], [10806314, 46665600], [13021060, 90583520], [99749765, 21165126], [84845286, 8019500], [55812078, 87412064], [54348623, 50358666], [78760295, 88001849], [57830123, 85164051], [41213536, 22235063], [45884672, 89680874], [54878880, 20119441], [48353932, 56896538], [46000668, 27926447], [33306336, 80751878], [3401172, 63893184], [61547720, 37611250], [48498881, 92056292], [97976393, 61556013], [35962343, 38684918], [92713488, 63100979], [38185421, 79871042], [22086527, 46603842], [80593670, 77963864], [52909295, 19468170], [10249870, 58937503], [37019244, 22144800], [57895753, 68267811], [85700718, 32183419], [43057614, 39511867], [87206470, 91403534], [58734316, 72589584], [67503156, 94937312], [57746694, 85982824], [43703920, 91158168], [49299799, 22472469], [91651694, 6956276], [59872703, 90473679], [64997441, 40634237], [10924570, 40263735], [61043420, 50437252], [45766837, 17469173], [24958368, 18068371], [14755894, 25368374], [8521518, 8159141], [14821063, 54104638], [59720025, 19284289], [99560555, 20581026], [36001117, 39062748], [62019679, 68632872], [13527311, 7612779], [88856422, 4261490], [76600994, 8735629], [27031692, 79080425], [98207179, 78810533], [46008148, 24389674], [28169277, 56980337], [11091905, 14664967], [43463435, 27812030], [13558982, 58131876], [73561148, 27784737], [79784947, 12514365], [18552772, 25577336], [68309328, 7621869], [94306153, 44963222], [12327053, 8670895], [90317381, 73276836], [7902744, 3277670], [24442818, 90521294], [10004742, 91195506], [50646711, 90780393], [43720125, 68378606], [47407132, 62592534], [54897007, 62601851], [72953666, 18104840], [51369380, 35107577], [67013948, 40617572], [45217087, 41513222], [80870864, 41613392], [35835261, 67747671], [62623485, 43126415], [26209370, 6379559], [48323625, 38517369], [58926305, 27904628], [45070546, 68722764], [51595677, 68478596], [16074059, 28375325], [29785537, 90661306], [88127831, 48829372], [11796430, 88782192], [58312411, 76307037], [80221882, 257060], [48122829, 78624729], [34976756, 21284178], [32520683, 39153312], [77832123, 58317635], [70056276, 83044318], [72555593, 54596626], [69621144, 24131994], [10188777, 23745538], [14791536, 49976844], [57027066, 82582704], [78308081, 51593198], [59586206, 38924950], [46226019, 34296854], [20566805, 22014686], [12617044, 92577615], [63925660, 88892394], [99201757, 90262731], [10806769, 79246786], [4544983, 54045856], [68780902, 36965799], [57047335, 37779883], [97581152, 8034132], [34137385, 5050158], [32884627, 72519466], [90268719, 29999432], [51524669, 87496051], [46868626, 30048798], [93235398, 41718532], [67680693, 90122150], [98995504, 92393415], [71073896, 44866759], [26559547, 11545186], [21147418, 19619693], [92833468, 85298076], [32447907, 79806408], [99617602, 62011970], [4685533, 95229002], [15901924, 88078207], [89391058, 54765068], [72646652, 12510640], [91819561, 3054115], [95295275, 17552773], [26685548, 55942815], [56142963, 81119790], [96841687, 74526079], [60554741, 18752740], [68612091, 96604632], [84000680, 40481569], [93199382, 59513860], [12557071, 28378003], [21688896, 71730500], [31398501, 75298281], [32961121, 14366291], [77281366, 45167349], [94315922, 19246401], [62099605, 92422391], [54921397, 68720110], [94493696, 33681353], [97940499, 66952191], [12148417, 91027551], [41259569, 72927468], [19587319, 8393622], [15310852, 94482818], [65283806, 84828192], [59537875, 66501324], [24930531, 26314172], [87259383, 20197333], [56875934, 60902626], [99449978, 18278632], [59047468, 94186995], [66331140, 73675877], [53403952, 69925208], [78665960, 25724914], [90283750, 92920552], [98407609, 92419585], [23995874, 95142877], [69994969, 4353154], [50107664, 30924574], [70778771, 96970949], [32523963, 86276827], [63141186, 57458066], [78344563, 19278386], [47423331, 7836136], [69830313, 48831301], [82358071, 50236056], [58821255, 55348261], [76125077, 70027764], [84593598, 18704339], [17457055, 82221339], [35348437, 52293459], [78355978, 22779856], [43014937, 28429362], [87976641, 65504434], [66837397, 43267103], [5683656, 5663836], [147252, 73296074], [69627145, 46103896], [31153879, 54618382], [87265503, 9967660], [2540908, 99106465], [25370649, 33813526], [23059196, 50182242], [61735897, 20110104], [93585873, 13962316], [94004893, 76609057], [69074645, 62147968], [45445379, 55187999], [14040218, 72939416], [27392757, 46964247], [90832634, 78741762], [65827892, 46479600], [15069417, 71582265], [16791081, 83738934], [37847505, 3439343], [52700878, 78412260], [18796586, 2843715], [73879956, 63555595], [37578498, 96521538], [8809830, 99028168], [10646120, 33256799], [75482492, 37430918], [68311961, 16559115], [17629010, 2896921], [28990273, 81516151], [50883075, 40194670], [90852265, 87484542], [51056250, 17829930], [11740216, 87457213], [48563136, 40525061], [24043185, 36496547], [38096546, 7954445], [68373003, 57604861], [54240301, 43107647], [61112137, 64018862], [85305920, 84504343], [88605930, 32233644], [52385532, 96231262], [19060784, 22009489], [45357224, 66033617], [8493240, 27262254], [87373289, 33676651], [37479004, 29127527], [49540776, 26809677], [51948293, 82876836], [80116560, 21467343], [4661368, 80956708], [33376160, 85993344], [14849848, 73767994], [77488528, 27782202], [85999060, 69256576], [16011492, 26218005], [77043132, 47556785], [16634379, 74053810], [33558478, 93224960], [97777016, 49438296], [93475625, 84457643], [38071142, 17825730], [48158809, 84980971], [53750021, 82164055], [49329502, 21804365], [33303444, 25744762], [50317377, 50331847], [67510596, 53839783], [42914697, 44688439], [11175449, 16490077], [73510491, 73228739], [11975029, 51110447], [73267224, 34192460], [31903939, 72833104], [22418891, 1830067], [80327097, 89966358], [45581822, 647966], [54017988, 18340370], [65305000, 2396665], [3182753, 440561], [87911391, 5824977], [73645386, 74309572], [95697613, 71121187], [87838392, 17307900], [72966862, 16148226], [69813428, 69602264], [4171961, 36563792], [7519453, 96412785], [56291082, 17099934], [4547601, 43893157], [18317675, 49592659], [49367580, 59137880], [45960363, 26656039], [2839300, 87757296], [96904796, 32159936], [21140855, 49838971], [67800263, 95436577], [74024231, 10635604], [8828755, 14199325], [9511627, 84262691], [62799865, 19946601], [71105294, 85804101], [89564161, 21692408], [64441631, 49123461], [14224666, 96688073], [99913295, 20124144], [16028846, 69799555], [19156869, 12883753], [85574025, 63706041], [77985336, 60695733], [54618632, 58532741], [68817571, 16247412], [81442469, 81332269], [91376608, 80587370], [99164389, 28431556], [18498063, 47934589], [5072995, 40597862], [86677966, 74274975], [81694826, 89990638], [14775873, 23313429], [90519802, 56608921], [41268828, 45264237], [67221436, 42255734], [89132757, 79013055], [3434715, 83233105], [74461861, 63819017], [26871170, 5547741], [4806231, 36845168], [97865663, 8680925], [73371827, 78530922], [7297335, 67276135], [15946032, 56354869], [86514927, 44539603], [68989929, 56406026], [96096179, 16907238], [90588184, 38983595], [54041771, 12802239], [89738075, 48621857], [74352797, 63139236], [90855729, 35185099], [40972353, 28737683], [78959009, 15905627], [81070094, 95670311], [21961146, 35251318], [34103339, 28783081], [95712275, 82279575], [52922040, 79991891], [46596343, 91585157], [59367099, 55238165], [96395153, 30083397], [29493337, 67779913], [31844621, 30883353], [84167189, 87587135], [6698700, 49824095], [58405531, 74738500], [64575430, 70437460], [61742847, 77569942], [63987122, 78818565], [16622417, 15254075], [99996278, 28210447], [89929248, 20525503], [63235555, 52427397], [84651710, 74425495], [59022605, 73258702], [59443965, 47981277], [67256407, 82907637], [26105194, 22210329], [48612192, 75849253], [83047792, 9376612], [43548120, 46826212], [20538966, 8426245], [60869217, 52836031], [50133695, 92922036], [11728216, 52717840], [35795462, 15880086], [2872092, 48902775], [56946302, 4823555], [56809651, 35309043], [22658442, 81061199], [92025640, 16675576], [69821637, 57991043], [44382026, 7722688], [22960477, 7014586], [74926409, 40055628], [92466481, 42836094], [80533222, 51396218], [32281500, 45101260], [13710569, 60950848], [55107680, 65144509], [36128412, 11360728], [33518364, 6595739], [63952110, 82096073], [51087814, 54640317], [86926707, 50982532], [10534642, 48735386], [91189087, 52914621], [65176464, 95892352], [17449701, 46005743], [23601528, 5728751], [38954337, 50560629], [49641145, 37280576], [79280824, 10484033], [86732978, 49157616], [23445716, 56390683], [17584173, 79606688], [23484639, 20316861], [14129443, 95452124], [38529328, 46330803], [22929589, 18109887], [71284967, 29551653], [13264058, 85863240], [78488594, 40394055], [40782546, 38583137], [89025090, 30859522], [21496345, 8817054], [67101706, 87849125], [13338136, 9945517], [14827342, 94290670], [16514849, 47152224], [10878477, 17344928], [31876770, 49097358], [76126469, 44339196], [32976064, 35260357], [15249456, 85648380], [76748233, 25003294], [88074213, 94861699], [32658034, 40326992], [36662157, 64716292], [59799075, 2638399], [85354005, 63205173], [81465663, 21069879], [108516, 44978153], [20383662, 10705490], [27412359, 55919334], [98290929, 14343805], [26118662, 61491446], [5147731, 57097964], [6615792, 74900460], [70688630, 25482078], [15896545, 54247369], [5030435, 83363147], [36686800, 8912998], [55179509, 39772874], [31579927, 57962735], [47375135, 94016992], [42923448, 41061582], [53077847, 81105071], [56237665, 93755018], [50691812, 93939191], [1338611, 4653433], [92163950, 57224642], [83199964, 65304980], [93512944, 46150199], [51241772, 97832802], [18968506, 46901971], [94350009, 36745221], [18153907, 57731321], [73885781, 68544118], [4022281, 73623459], [8760040, 16293549], [92962757, 3511035], [71828116, 9506789], [85882464, 60048693], [65371999, 20304898], [19565976, 95524259], [90278410, 23873914], [76354406, 38959285], [44388342, 8653251], [2702733, 28906502], [51481489, 75106919], [71758272, 71938081], [45288473, 5117206], [67238532, 53816546], [91087828, 11866660], [44598494, 29946420], [72009931, 75535956], [93660961, 37815779], [63172721, 18419185], [64870613, 42658780], [1446643, 15669481], [4368102, 74083415], [59945674, 30209360], [47415980, 32023015], [64846975, 58320262], [69865319, 48291083], [75306623, 6175401], [21208016, 36924047], [75906804, 30424973], [84210842, 22663405], [18232147, 85586502], [24132980, 8873051], [10950916, 22651161], [72861601, 41119353], [56767458, 17649801], [62279502, 23484523], [35335181, 74774037], [24351173, 52693175], [2981399, 59720516], [72016421, 10922792], [37158040, 18627611], [1637858, 58472581], [70849021, 79988232], [14136567, 56624304], [65543980, 95580451], [30328153, 17070839], [59425815, 34733760], [56968244, 68226], [82047890, 56046328], [3283507, 71685116], [83227245, 61292399], [93078737, 57122061], [40597883, 71575074], [38834675, 54971232], [90566037, 98544397], [98794941, 10406930], [68725858, 44963021], [20742434, 92256075], [21528294, 59730509], [48442019, 9912844], [64098195, 37028880], [42813114, 72869385], [86018019, 21109214], [49729660, 50620627], [30269095, 13175687], [32705884, 59495484], [2320545, 18412712], [38892929, 50366061], [27626863, 8926389], [45209668, 22304154], [40882870, 30392588], [66472907, 48913713], [59038644, 62826047], [54933754, 37855258], [53166422, 66488448], [88295281, 72152231], [27045449, 70196019], [66420352, 80949444], [29221552, 10580853], [61933322, 5090247], [94413377, 10421252], [60685682, 70280534], [1481992, 38462052], [67150756, 6383232], [34438614, 82904548], [75623234, 46474283], [70690276, 17003059], [9466052, 17778071], [34127017, 10412675], [65862841, 81071871], [49480414, 95402865], [3764479, 95957370], [85006922, 15237728], [92098726, 6084804], [34440548, 37636932], [81208240, 75294553], [74955558, 72852033], [34313124, 55592532], [65895908, 13984454], [40806480, 6437271], [62940092, 67563970], [6585276, 33008250], [52202585, 96851090], [94979110, 19090879], [64545127, 38779313], [77837725, 76290200], [82461930, 42052868], [13613508, 97960223], [48696147, 77180802], [81341084, 60167391], [29526461, 52301451], [84119960, 5760020], [4061859, 99723568], [74522184, 71353395], [57883498, 57035527], [62636924, 6937665], [42021549, 50567914], [97959898, 54861420], [92641378, 47555919], [53020635, 15880572], [59860209, 11471593], [64231549, 66685692], [55740801, 5605307], [13312628, 60409638], [96224077, 34404383], [73569176, 10924135], [84736767, 39126046], [22697513, 88181999], [301825, 15436703], [83516216, 62560289], [25094443, 58421373], [22023629, 54205606], [16355740, 73578280], [71812979, 22332030], [87940452, 86249287], [57811023, 47529891], [79895191, 83560730], [35112268, 3284641], [15700061, 90848440], [96652116, 16716889], [30453969, 2115782], [93377148, 70038175], [44735563, 9865263], [23350612, 86307760], [90268781, 17859353], [14924359, 77631426], [35684660, 73325788], [88364322, 5160238], [69718003, 69834824], [55105780, 64083793], [50270397, 57493952], [85782020, 30433096], [22838043, 31292870], [29248994, 4382337], [95634467, 39619093], [98696500, 61240485], [59231608, 30392686], [69841663, 43217925], [45857034, 53848612], [19129224, 34039886], [51377794, 34200599], [62444367, 52060772], [98736809, 23653759], [82743084, 18236900], [86265738, 91737794], [46724018, 30401663], [27745190, 55443850], [37759846, 5215736], [41139714, 78493604], [54933856, 15628986], [2233113, 66923524], [68470595, 46539493], [70447888, 67256734], [94470252, 66296663], [94415454, 11920231], [70722062, 49300069], [67197202, 86983788], [33302303, 27466711], [34329712, 39451013], [12644044, 41493163], [17568103, 52512137], [79354976, 69295855], [20433805, 79022231], [3235492, 72521454], [11801217, 87408843], [7638668, 53356334], [71960072, 85776673], [17501691, 15321727], [46765734, 70887863], [11992387, 35886375], [43556047, 67358788], [20977654, 29660219], [46668847, 74057861], [94316899, 41034044], [84976361, 64271757], [41989914, 13287979], [43301201, 78363435], [30981698, 2128530], [94283125, 65756615], [84113655, 30672863], [54749980, 75403593], [93651650, 91138507], [93017989, 59903480], [7030122, 33326571], [14902948, 69873981], [44314198, 72768844], [25134393, 46381143], [42083514, 64516617], [59318138, 55152831], [96391651, 88765609], [13338601, 99602473], [33487177, 97433654], [19954148, 7150505], [79782052, 95655487], [51957640, 59402888], [39681417, 10813282], [71703167, 64116899], [79889882, 68012852], [70030747, 97960032], [92744720, 36896934], [56905113, 44931851], [15008443, 99185286], [82173622, 24456649], [57939777, 92869023], [60359412, 39880075], [6722439, 818973], [67301590, 41037848], [23224630, 213968], [44922104, 77091875], [63945573, 73380941], [19280040, 55751233], [28642532, 9900535], [74099467, 48116543], [93798924, 34051706], [65539883, 96025917], [88498913, 62984901], [43537064, 62039749], [52944632, 60769529], [39763058, 76878299], [86913315, 9791065], [78039688, 1883142], [8834553, 76453346], [48855408, 52342303], [77494316, 93298822], [3057211, 29128376], [4601540, 53010423], [91805898, 44746299], [18767579, 21265221], [11185355, 5731775], [86791397, 35645792], [82396006, 64154550], [43687588, 75226962], [49982660, 66374271], [83085966, 46389562], [84634302, 40996366], [99895721, 49901], [39913773, 60652941], [36251101, 12448002], [97055842, 37660896], [53188497, 95639655], [50130310, 90168602], [94021876, 47049630], [84151774, 81668579], [62886096, 71607308], [17752777, 4258057], [81769217, 29271118], [26060445, 36403762], [26062434, 45721032], [71281320, 13040974], [39413481, 91466388], [11971305, 37941073], [10364555, 21956260], [61235057, 51877995], [2532964, 85763779], [26357049, 36336327], [59874800, 81310633], [57820294, 3346753], [65955458, 82804202], [27793974, 87978944], [92990846, 58597460], [35804380, 71783333], [98006055, 42294948], [82691216, 63769495], [39271534, 82198526], [5271964, 22973440], [10479403, 5147068], [83128489, 93046476], [16891214, 49700707], [57862929, 84344805], [49153599, 82147660], [13582264, 46145198], [27999566, 26785267], [12789066, 35041746], [2511761, 61543013], [72534878, 36404334], [15256674, 32653083], [11918025, 44232319], [3989491, 92585233], [84520261, 84593179], [37035208, 42463889], [24892748, 67602680], [46899161, 66076383], [33820167, 11522653], [87399904, 17993372], [69502582, 87275626], [4694065, 9152441], [49728053, 6488262], [7047168, 5949144], [12353029, 75622214], [50945617, 47240443], [93150052, 98986577], [61319948, 66927975], [8579655, 47465806], [59129266, 58976218], [54774552, 66274216], [85050380, 97618832], [5549809, 96964257], [83068171, 8069619], [76912909, 8623384], [66695050, 62229637], [54276453, 26164299], [95226219, 24033510], [88488003, 15380313], [36851267, 98338063], [20498342, 32103393], [96230667, 514939], [93584977, 29368854], [76410178, 26108614], [58802472, 69501656], [547742, 32263828], [36291637, 47574454], [195238, 88902368], [35255814, 39036175], [45196274, 37722547], [822262, 13793990], [59325409, 66820479], [67776736, 37821304], [43824629, 22589474], [90042849, 10336916], [34044037, 6397095], [54230745, 35411877], [21399272, 20415346], [67076447, 33821769], [25640621, 64284540], [99643207, 5639833], [79741824, 74327902], [9552126, 90399], [99382297, 41243439], [96925672, 46582290], [1257362, 12665445], [15283240, 68926983], [46926046, 71085968], [47134675, 3212793], [44344438, 9120838], [64473509, 48156839], [59075907, 2664245], [923262, 59548627], [67912673, 26987759], [74825912, 31449189], [37507854, 35041029], [41684770, 83122110], [49085815, 49257746], [71349248, 99192281], [13764863, 24463800], [1986708, 29903546], [55040872, 12598608], [23494460, 36607529], [83517928, 96479182], [8706711, 57210072], [73026105, 87216892], [67571341, 49293210], [70039156, 48193802], [9133916, 56368737], [224478, 35552497], [57661789, 87411670], [13159827, 43464642], [53960425, 15062503], [24920115, 35220648], [66396369, 96893972], [49781906, 61806941], [89502451, 62294672], [16966408, 86764510], [8610176, 78680082], [54391459, 41835879], [31097486, 51061120], [64168850, 50046055], [40476599, 29883841], [75768380, 21263830], [31032149, 22481051], [3557104, 97630993], [33087509, 92045089], [23669801, 61950239], [82200762, 44934281], [54786510, 61380742], [38063848, 82018420], [89054809, 56087824], [4582329, 89809448], [87217733, 82765351], [72777337, 56242915], [54189784, 36410669], [69554387, 27119475], [49601656, 63276358], [77395785, 71669865], [92470786, 8406936], [33421254, 60156181], [11494321, 64838886], [62321918, 69828691], [33908056, 55683745], [1310526, 77292090], [33345037, 80535204], [58464216, 51223327], [96895242, 41005089], [55282920, 99968974], [11887709, 49160376], [11794788, 70986331], [13226784, 25609082], [28290461, 2829289], [65662416, 54772455], [18603733, 80145765], [24055455, 62398742], [20638338, 87039710], [76884905, 54680053], [44748715, 98164599], [71324698, 66773021], [35242694, 4563505], [5659902, 68596485], [21264433, 30984029], [56964086, 6346772], [44402384, 91253345], [36466340, 29663840], [74956970, 30457116], [15920969, 52764822], [6973152, 32679089], [95581343, 21534440], [85681056, 36181661], [56997125, 10843138], [6133661, 11792100], [78101714, 80278025], [23554959, 62229803], [75395995, 84203537], [805406, 4949156], [26294328, 51749587], [76983120, 76108242], [35312326, 86153668], [44722166, 11580494], [27568758, 8523798], [67367084, 9366603], [75486167, 64067890], [50947177, 86644701], [31515819, 99805912], [730289, 88388295], [55393619, 55284986], [64238456, 16986102], [19997261, 71659365], [81476888, 42905378], [16223462, 99665690], [17243408, 69942383], [11662299, 19299253], [56341243, 88653676], [73576836, 26179515], [74332032, 26378794], [93352004, 71919122], [92931590, 61054228], [79949837, 95474778], [14987943, 13204566], [99747729, 12944766], [64572768, 26268232], [60227807, 73082681], [39558013, 91475244], [47574263, 6457654], [85380186, 40236988], [64197215, 381739], [56481015, 88997767], [23891716, 52403778], [96234312, 21597129], [86652321, 75578934], [43122960, 29975891], [89234535, 43552960], [9511483, 90363983], [36601386, 51287556], [63141775, 54813150], [10002061, 8952071], [20933305, 64744044], [172362, 95211580], [36844345, 44568710], [18548445, 80777520], [91628493, 31949502], [9614884, 45963045], [17796377, 53988836], [55564697, 23973491], [68779032, 13383402], [22371087, 84879739], [98642635, 5794152], [87254497, 14346466], [37865646, 315068], [70262538, 5522952], [9335100, 47907283], [73239765, 9324699], [1403829, 87968213], [31265382, 76030457], [19290333, 31261096], [7207749, 51347768], [82739208, 19359501], [50349917, 51678643], [80475543, 2708926], [6250251, 98028144], [61940094, 79170278], [17321638, 13400861], [64851482, 2454806], [40586015, 1280235], [81786560, 12954418], [13101748, 41695621], [71430268, 81901234], [40960756, 84122114], [4973301, 84164912], [71160921, 30590767], [6119431, 68565008], [31132531, 43745911], [44179755, 99735965], [99637081, 94476726], [58432549, 32368382], [77662944, 20362583], [53953313, 61690533], [96191501, 67621052], [20954750, 12559153], [23923502, 64064623], [43220612, 90564378], [76529510, 78042792], [33330320, 78217164], [38073737, 14460642], [83289158, 84750078], [67497808, 54667905], [22160231, 93658389], [57809636, 31069934], [26776991, 97546865], [55447746, 44311363], [8275804, 50779040], [73558979, 89411506], [61512380, 15448412], [10879118, 89405280], [53451414, 70447224], [69301957, 50147631], [74912593, 50718764], [24287446, 90399202], [86822546, 1147347], [58672281, 48730357], [49732101, 44095963], [15375442, 95651166], [25386602, 27641495], [2521387, 60097375], [63758561, 58594149], [55108058, 26919549], [87169732, 26711757], [87377258, 110943], [90588646, 81556523], [56771585, 60927071], [19481546, 3724110], [89054000, 13644850], [18319354, 97317321], [81173064, 76059746], [35630421, 11732941], [6151029, 92603423], [92594188, 66485187], [24631346, 83312186], [77240397, 64559702], [21627572, 43667149], [34198746, 53671270], [16169606, 60969108], [65453613, 66960784], [78922806, 21959554], [91266175, 62713081], [1119247, 74536191], [71452534, 86363049], [25473185, 25258129], [35539264, 34725432], [50708381, 30228363], [23910771, 96015728], [98273378, 98704299], [60803227, 97563336], [10274496, 3525175], [16126941, 10659345], [38269771, 32520476], [34567916, 66092281], [73182105, 43448523], [75047340, 89153789], [56288192, 23725213], [57867119, 5928890], [78237318, 35220721], [12663583, 11920064], [70051975, 90732430], [39312403, 68215268], [29313275, 26133530], [15039261, 20843293], [28025954, 14537333], [49747650, 50899179], [62105736, 17802758], [76846078, 28748833], [59804830, 12105333], [55198801, 72748801], [94391466, 16350620], [11792928, 22394278], [11692269, 38577326], [53389244, 62584264], [1047419, 62217277], [34741340, 28302063], [19943496, 79876643], [38239501, 43431991], [82026933, 23169526], [44804733, 99246328], [96053933, 68727549], [91341624, 4345672], [30609632, 7699390], [24409200, 32136514], [29457332, 23104624], [68060855, 59280587], [20153765, 30283286], [90564066, 40381299], [60347526, 7979664], [5409518, 52183149], [53270779, 85682], [91975379, 45519779], [65547406, 47910751], [88827643, 61375454], [55827622, 98544644], [67097183, 98384839], [71902811, 28155849], [93182494, 4809899], [65747902, 18280458], [26784643, 76857948], [39018441, 973955], [97990631, 10683608], [22642110, 89874990], [79414758, 7888826], [51448800, 42522060], [32715792, 51295405], [49725403, 57377869], [30459545, 85151419], [22528999, 13790204], [19700207, 49801575], [7097121, 69678395], [19970932, 29869139], [631526, 88753172], [30158651, 76443826], [83315791, 38055925], [31189907, 89842365], [36707034, 90406679], [59713787, 62068040], [36139878, 15054084], [92231350, 30629507], [11816444, 69374901], [84252242, 78683144], [57511035, 47267534], [8942559, 24178616], [171111, 56568915], [6302631, 95817596], [75893705, 25938759], [95892638, 81693812], [81966216, 39244591], [76765472, 86068175], [25284599, 659931], [54285532, 70438953], [5598481, 81803699], [83613647, 93499074], [71345201, 78913692], [8514391, 40746774], [18929976, 88607960], [38655063, 26980053], [42330217, 28628770], [80938002, 2232900], [12957025, 13226617], [94844840, 50860243], [98225884, 55775709], [49640606, 50306343], [80281396, 45951714], [99648599, 24940347], [68607062, 6755464], [51098411, 67552086], [6813940, 49497338], [97262203, 5318873], [5258695, 46180101], [19520097, 63661040], [79171345, 96327195], [21707856, 93347350], [5723428, 77342526], [56081208, 68406835], [56581763, 78083924], [53188262, 98173316], [61536408, 47905725], [82883377, 61192125], [85312981, 44926645], [20016224, 25660781], [23327512, 6225599], [69187385, 44039034], [94472806, 91443], [74506522, 22761511], [9119085, 29689170], [32959899, 11944293], [64253175, 64696014], [44307653, 74278699], [72495334, 68251451], [80527157, 49755766], [38305236, 18985772], [93273437, 47440212], [70741745, 18108968], [26919068, 70833913], [20881576, 76525519], [34684046, 37927970], [95181940, 98830720], [71676323, 26349733], [94298161, 13454351], [55425446, 23060627], [2698102, 21491839], [22904787, 35996524], [75392482, 38892049], [73889849, 57253853], [40347226, 44004713], [278889, 79971053], [25770824, 4876228], [58139601, 22055819], [23189412, 67117580], [63549144, 90796988], [50026120, 53915702], [57108655, 68766577], [21505239, 62535560], [42740802, 46547787], [58572721, 11681929], [46081642, 25901707], [81646283, 58788857], [27041437, 90727736], [93393913, 20344944], [85054754, 17915127], [45857699, 77271720], [26566447, 90334443], [32593866, 33813775], [94333001, 98565849], [23667800, 10462878], [9885744, 5470658], [1454289, 72379946], [12005535, 72148998], [86505033, 64331313], [14148586, 77831883], [64428570, 15907016], [6998083, 42994879], [85861299, 94777795], [53624809, 54128683], [19242833, 13289952], [67923057, 18169346], [78461094, 11619625], [44000762, 56978162], [26125063, 5150930], [50346957, 67607169], [9501394, 12513521], [31973821, 95180064], [98744201, 61243317], [46466495, 75597052], [81311342, 44400188], [48512392, 42071938], [76900587, 18156899], [46146560, 81886015], [77551733, 70210209], [98201655, 78636813], [77768363, 48523146], [42090187, 61033678], [79638210, 88147686], [75267611, 86138646], [44173549, 24180171], [47499276, 47481638], [12522081, 88841694], [74039925, 52673479], [61339601, 72047395], [95435347, 56531829], [60008513, 49324630], [77733420, 80754515], [41978438, 55163381], [79963373, 96200586], [54902250, 34721035], [85715490, 8496665], [84516984, 26726261], [42289597, 22948254], [58876359, 66414877], [46380337, 18886652], [53021024, 73271310], [34321133, 88419925], [67456221, 13359916], [6890680, 44524001], [29921095, 35960308], [99308792, 39062961], [94795988, 4470562], [57219046, 55676222], [8206009, 25940015], [88971028, 6400387], [12330544, 67218780], [91590640, 39661866], [29967565, 6131567], [15037034, 9000825], [15459939, 97366059], [64789024, 35510188], [62859416, 88929370], [46300410, 24979018], [50115820, 63316403], [90235011, 21697898], [87933824, 12563400], [33812870, 8907193], [41513408, 56806424], [9600898, 49695738], [5105258, 10613536], [124478, 97098553], [15076261, 6112326], [78706990, 98175927], [58446707, 19022036], [88761756, 17739942], [43583589, 98511754], [85350318, 67189028], [28324894, 40276816], [25085719, 42051248], [34016430, 5463561], [71659144, 70511110], [37978153, 99665122], [61179321, 54511137], [83011405, 89807015], [78381502, 95990096], [79583370, 23823050], [67039334, 35721065], [75206615, 43428456], [90898523, 98283021], [20349818, 33053187], [92119712, 33807275], [24575615, 8718583], [10677761, 17199452], [29318252, 307001], [88323506, 55508678], [18064691, 29602185], [54688437, 81137141], [29423844, 66470362], [68596959, 78042837], [89187355, 94775061], [99326959, 49614430], [77676016, 31890729], [41788263, 26788969], [63703612, 50362195], [78495360, 46268231], [72133634, 82221523], [21832903, 81366352], [80645084, 81486162], [86411900, 71875197], [89126577, 77848651], [20037560, 24246377], [73619378, 6686955], [50851313, 11544235], [73522271, 26083333], [56028340, 17685276], [53070180, 85706489], [98054136, 99579006], [37421658, 60154019], [65857097, 67252659], [77328241, 960108], [5833548, 48986574], [35198788, 2000666], [16418924, 84128890], [48400386, 93094414], [50035505, 71842288], [94496938, 57437162], [41912958, 86939066], [6913602, 72247465], [56391673, 68375093], [99118206, 80529319], [84092221, 34576723], [25224096, 91647056], [7383897, 41672625], [51731977, 67934132], [94507400, 41936241], [94338371, 17993124], [96470278, 14411329], [3388431, 86997161], [12029841, 95665797], [13552115, 851611], [58288560, 11736663], [48044699, 41517531], [63183503, 689297], [31127534, 29549743], [45935701, 40251844], [66283590, 47622931], [52703032, 40692785], [27240483, 45883295], [73766176, 76340620], [47164788, 27859031], [5658201, 19905472], [62240729, 54018887], [31750181, 2894922], [39437325, 50514289], [36137234, 43045584], [26152443, 63490528], [3684156, 21853738], [73605180, 64589782], [76391649, 70938682], [90585570, 3945653], [37452418, 80208944], [75770781, 89685854], [17800627, 93140545], [46261674, 2692739], [51865157, 66479818], [63957662, 27748862], [39594630, 10377672], [85441127, 39583289], [47230128, 74450336], [46529708, 25356406], [13049930, 708428], [73111892, 26009027], [2393665, 80365046], [80332088, 55810744], [20071642, 611976], [44759097, 29853803], [20188177, 94883754], [27964058, 93375082], [82919390, 84847442], [7111322, 90423070], [99082672, 33060824], [56438701, 12320535], [10277814, 88902212], [86050306, 48111842], [96198005, 72998148], [23982158, 33874862], [24425832, 13987413], [18389193, 71079081], [92815794, 51567040], [33441978, 45981076], [14330545, 15979596], [29631847, 97876224], [11720460, 42253589], [8927127, 61367482], [54100486, 80132330], [11726561, 77412596], [66676127, 81976451], [57125278, 11736421], [1731451, 62687311], [57666574, 96491246], [1320853, 42631975], [92977094, 13312515], [19456148, 56095623], [37812310, 7221008], [77604819, 5344207], [52141850, 79140551], [4048332, 36776995], [32044916, 65155426], [73876106, 39881483], [61105405, 95179842], [94311173, 19865507], [20465947, 33332778], [3005256, 17527969], [69086307, 96696090], [63214225, 74949264], [16638247, 54595896], [76593, 25617997], [75356816, 72645318], [76891447, 55522908], [38045499, 99146527], [40151824, 47457655], [14480497, 89820386], [5291349, 678927], [71634409, 16988107], [52870756, 68970876], [38097426, 95665763], [85631517, 22525376], [95143951, 96848195], [98619096, 53913250], [26523033, 94580403], [85112136, 56288249], [62712400, 17152052], [63825257, 99164236], [7466915, 63229787], [72469158, 33640991], [2587697, 77191532], [60606446, 92080475], [52731107, 67434655], [69733853, 92238858], [17430290, 34912895], [64363628, 73705150], [38019792, 27520253], [86032899, 19045775], [74191738, 70960694], [67568432, 20533371], [23539280, 3496830], [73637547, 12873462], [86222231, 96442001], [36054376, 49712264], [94159868, 28691704], [12310134, 17856851], [83288970, 38013782], [88373274, 19778492], [15192459, 33015070], [1922045, 63151014], [80169029, 76790478], [1694289, 23588915], [82272063, 99320509], [46076897, 2301428], [52449479, 95865916], [47234261, 51942054], [62158103, 32358503], [22295318, 62939142], [8318815, 20454174], [55761143, 81197162], [90953793, 88796549], [66853744, 94401518], [87733911, 78482566], [40482047, 2194203], [47286041, 31760577], [83942797, 81648897], [41268995, 20133879], [89054401, 10067741], [72160592, 6833244], [78391992, 42414580], [659044, 83304442], [93276810, 42449906], [70083084, 78880239], [84056423, 55774910], [29394159, 61292186], [10260857, 58797364], [13693999, 27666541], [66231126, 20091634], [3381249, 81755383], [48631005, 47587562], [62186037, 49866137], [69240393, 13419345], [40166894, 98391753], [99935762, 2685849], [53069651, 41869162], [44187303, 12091880], [94837124, 6589733], [43792521, 86842061], [64972366, 20890012], [35559740, 40903928], [2132338, 44212380], [62018330, 5138019], [45373976, 65747095], [78660705, 22946514], [26843326, 1592268], [41370483, 97742029], [34029065, 91729676], [91235462, 13890960], [82190929, 49867562], [86428187, 95080784], [2435235, 55743078], [91391231, 17139735], [34616803, 91164215], [94899979, 44524287], [6602678, 42334852], [63492861, 21619], [39403308, 90458171], [80923805, 74694727], [56518549, 53198907], [27670930, 32914089], [47694982, 54407334], [42196244, 26767788], [3509186, 9749721], [30300487, 47697687], [62969258, 39218298], [31483664, 76730050], [32982676, 48492896], [18933713, 7287290], [16903591, 55266140], [57712583, 12948736], [26460894, 18442202], [45723910, 74863691], [86575538, 78449432], [13988786, 29526259], [46354335, 47201173], [44402684, 91476527], [56606138, 8013732], [84168430, 38730271], [49766640, 45746440], [91941850, 33765218], [76412222, 98574549], [73308784, 96132261], [10731961, 68068536], [1108541, 8497467], [7546623, 53291275], [3011661, 52747707], [3764794, 91003744], [3152783, 41893593], [616986, 28803095], [40634200, 84012032], [39225788, 98881890], [79961712, 8330143], [19986921, 65293609], [24554787, 34434973], [6837755, 19496464], [93106918, 80360770], [43090593, 51950991], [17594036, 38666518], [14558196, 25165063], [33037292, 44009784], [13998630, 84716070], [21750545, 91145854], [24628864, 16557370], [7117486, 40142502], [56200108, 82178218], [45501841, 46339253], [18700383, 55891777], [76205764, 62904203], [86670634, 33105259], [35764632, 40431049], [23913149, 68967170], [54694698, 13470869], [38864575, 25024844], [80322244, 94634810], [7159380, 10507553], [14443395, 86139067], [61271111, 62006073], [79029504, 70220069], [59063453, 18241737], [94024510, 45453919], [38642033, 50553865], [27407209, 55740566], [92299513, 70998254], [88689702, 45744181], [50141528, 90617505], [23702967, 49812052], [69200786, 82344569], [91137007, 88505918], [6717229, 40923820], [91129136, 18349637], [57427755, 69257551], [5071676, 76246720], [87265390, 52254276], [43311791, 28827286], [52137942, 7907425], [46156309, 43863762], [25179932, 55499019], [21824957, 43162632], [28804842, 71570357], [42512539, 31446665], [3119499, 64477525], [69019607, 78434112], [70116733, 43762161], [10390670, 43511942], [62568059, 44199901], [96533353, 93189587], [97369883, 90596823], [54488039, 78200965], [14103058, 7262209], [15080041, 51355103], [97272591, 65356703], [88027419, 74967513], [89668305, 83104984], [44916026, 60240412], [49840527, 86282954], [17172219, 33459615], [69416727, 29177169], [22311908, 72877247], [3112126, 41833085], [98981576, 70710598], [71264566, 47547382], [97564078, 99903248], [12309692, 64670460], [97184109, 75959793], [14734148, 75646527], [8891970, 49724243], [15980751, 28962645], [13153288, 31842827], [25394693, 11955707], [24704954, 80377461], [23523948, 6809427], [3442249, 13675201], [21349124, 29814754], [53652165, 89735776], [8076850, 41283735], [76887619, 349569], [75459273, 3137667], [18187776, 18490658], [64322074, 11089264], [43198645, 65728239], [7404930, 68060331], [39937732, 43754469], [81162537, 6024701], [52490571, 79418947], [33129290, 37800312], [99410806, 12966186], [67011522, 62052916], [58285366, 32444635], [63472534, 1974315], [14570535, 66595822], [35043545, 34968848], [22279431, 51280161], [8833625, 76837535], [77178735, 32609967], [32420754, 62440428], [12011657, 69816532], [46446324, 99576006], [58146356, 70674095], [78521308, 74060756], [83648003, 39795794], [57741759, 80502734], [60925442, 69733331], [75966029, 62439291], [93120066, 40391192], [13004695, 70543539], [86904354, 61995295], [46686239, 57615205], [66958344, 46047636], [54718466, 30476677], [1536389, 42650503], [49641653, 14366660], [13030481, 63151489], [34362277, 17942645], [69762051, 50987265], [23782685, 35682179], [45574625, 19006385], [33982624, 34548629], [8027425, 50592085], [62756898, 98406049], [6524948, 57192499], [60289826, 23594121], [19218314, 75607172], [41159084, 37444472], [10774533, 83138268], [33739467, 5277342], [36352240, 11171510], [35304731, 49303984], [59275755, 17036692], [80820438, 16269436], [60481001, 85550798], [26688285, 37407747], [74117344, 65121751], [21025498, 70439018], [28959046, 3615103], [20566417, 61295175], [50855848, 98486170], [86567646, 65587685], [62135383, 88489179], [68726621, 74180226], [80493973, 8888799], [38083250, 56256770], [37867330, 88401122], [44043981, 11092862], [88764488, 79971556], [23494216, 32865576], [98390180, 94241306], [29818749, 46081032], [67271609, 37705842], [64138532, 63645653], [76199549, 21412891], [63964604, 23751154], [81018622, 37099457], [56956624, 3304586], [5546762, 86748542], [19679344, 98836906], [41503833, 93741094], [89153286, 8077895], [31580066, 60124458], [39508497, 19600770], [47486576, 28444135], [16785016, 73393739], [62026971, 62003373], [14307503, 30343842], [86159372, 38656825], [51078451, 24280114], [43061486, 51484201], [58949766, 54976074], [87504269, 89772856], [96722067, 83350682], [17887276, 74578917], [77498890, 91271737], [48045393, 50953240], [13326073, 27496681], [78504143, 22221198], [83495125, 5293082], [57986830, 63895887], [4313978, 30885115], [50844465, 55032076], [20769186, 39942764], [83708782, 47280987], [79263644, 47534179], [40274542, 98707147], [38043328, 366971], [62421408, 15021623], [51337948, 97113707], [155603, 14535312], [48019923, 97562349], [35207495, 59057197], [64197681, 68179662], [72035837, 84875769], [59769311, 58896065], [56572925, 90936438], [59841997, 89633470], [64350735, 69493610], [29249791, 7499662], [26338737, 5768982], [47927026, 10338841], [39872641, 27422229], [60956114, 43062656], [34059242, 3814691], [28072793, 93209163], [93998691, 92015779], [29510162, 97560523], [34883363, 8826624], [84872463, 47447959], [65216202, 32400830], [22733420, 24721049], [68341634, 197369], [36614383, 94316506], [23031324, 56100492], [49239452, 4539352], [76259051, 36766262], [21844295, 69143842], [92297599, 49584459], [13140298, 37925861], [95570136, 84120588], [6370206, 60584645], [26275656, 74755317], [8527062, 69452870], [34356276, 88854434], [90734422, 56505594], [54645193, 81783638], [81824801, 19565136], [88717641, 26625331], [74403656, 77706226], [22974262, 77561762], [92845552, 17620665], [83896265, 94139306], [44486684, 71897375], [70950714, 99333286], [1396617, 10709078], [38214511, 6599583], [18697889, 51365758], [96155583, 87219588], [84624026, 56865384], [95786083, 17966396], [63070849, 64227005], [86368231, 76501915], [416129, 11238032], [31495041, 24993567], [7597438, 62351745], [98197650, 17264018], [61421357, 47949397], [88643780, 8839184], [61713287, 3246574], [52200317, 63333967], [3702608, 36903220], [6645385, 97774752], [54663978, 21143091], [91982366, 9448246], [73361965, 3952133], [44018616, 29033612], [47476114, 26372493], [86968974, 51147250], [62214431, 40229849], [51160979, 20347785], [8548159, 62012279], [6741671, 28128855], [22992406, 97101140], [54204764, 63561136], [36467121, 69534665], [75777678, 95305903], [37293081, 86111307], [50451236, 93228669], [42379175, 2904997], [36188135, 4252907], [65038027, 15759812], [32372968, 24370190], [68133818, 90635425], [17318449, 87831276], [93069460, 4760125], [47678662, 99883687], [72692256, 87678619], [24305397, 88728815], [26438318, 3405914], [64709710, 4829510], [60678720, 95906832], [68670812, 88590796], [88547124, 38147677], [36956292, 70191509], [55556554, 85712065], [54876906, 16225232], [11064283, 26577822], [54654294, 87092136], [46442076, 85244476], [99972372, 47235104], [59857989, 3782761], [78415150, 6682625], [22013763, 20104773], [91985785, 18482390], [1617791, 45673163], [64086174, 24799589], [37124797, 58199200], [98272836, 16264694], [3622832, 11274991], [85932813, 2065845], [61718189, 19410796], [61972154, 18155909], [22549813, 9784981], [93588672, 15188527], [56791542, 56824225], [15688326, 28200703], [98349032, 57721674], [57280764, 5211587], [98714711, 97128990], [77404257, 30893334], [87332615, 69669776], [41135087, 11689169], [82035056, 88498936], [53318539, 77602590], [27236218, 91773001], [87061677, 82818547], [17758280, 80160580], [60482247, 17372382], [13654651, 63601291], [77986156, 50683706], [68974200, 60428551], [44789380, 80591582], [11271117, 2666871], [8784905, 36273331], [35911915, 90733950], [22577508, 38249949], [22189003, 88998346], [83845588, 55340739], [56260067, 76333697], [63442117, 83531382], [20746338, 46756112], [38477624, 82722672], [60928770, 52078341], [79025323, 70958609], [65635536, 57057308], [59579726, 50140990], [22192655, 86866862], [71950145, 10714741], [87202315, 27692011], [93769488, 64922455], [86007039, 48242145], [5277255, 92665751], [94094677, 54849218], [67160022, 81579483], [96757325, 45487349], [92435874, 11317924], [25037001, 2960535], [48182709, 18820201], [19638889, 4430059], [98343744, 54958888], [33714619, 42346424], [22099169, 95266645], [78033928, 65614793], [51510377, 50284114], [74714680, 93637751], [2566670, 89767684], [74537101, 37189103], [13745019, 43143705], [43377541, 41261557], [88603053, 43137542], [75268151, 86732608], [53745828, 6200339], [74157291, 14731247], [57813900, 576221], [40412024, 33540753], [48254339, 90977087], [17203661, 36907497], [2520432, 83882546], [20830871, 81951875], [97103664, 49499177], [73508157, 5849134], [1897226, 93005909], [30882441, 48742896], [74186954, 60040223], [30198285, 73288454], [88842985, 83576192], [18481797, 56567597], [84268497, 83290302], [69891057, 60595904], [77162567, 37130354], [67016842, 48790767], [499262, 26027597], [81054419, 93077471], [52537300, 88538081], [56964425, 5137208], [25379663, 88106928], [71685939, 16478647], [84810657, 66928904], [56809324, 87757558], [93114993, 56615904], [95308906, 89933483], [71792148, 96718307], [60770162, 46120543], [82655048, 86130868], [74203187, 80896621], [43030704, 77272671], [27639676, 68937986], [36457571, 49130796], [10212524, 75801838], [74614215, 49695669], [56761077, 4365537], [52994673, 64782345], [81454495, 576712], [18462950, 91518158], [15562489, 14719512], [18668740, 75666760], [95186598, 44404472], [95558128, 25087951], [78028458, 71978859], [41280786, 21281151], [91493412, 12730303], [22397488, 25418738], [47431444, 60347532], [14954628, 94330825], [76029514, 47007732], [83449788, 94439073], [51976328, 40901396], [95530882, 93431774], [84182880, 29463393], [19440650, 30852403], [38016872, 8116008], [58106433, 97826685], [93330794, 49877167], [17367281, 78061848], [76020486, 32065282], [43026560, 11859311], [73868722, 25430996], [77528450, 55687381], [41816195, 80687297], [83315894, 64045651], [63102527, 71355987], [66795330, 54095776], [11825257, 5177887], [54446810, 312622], [8713361, 49224670], [25018246, 350668], [73717991, 46807671], [98422747, 42115537], [19358996, 67756030], [48307243, 99875592], [11270318, 35389638], [47770442, 41111368], [98706464, 20401928], [26518998, 8331211], [48167651, 86605000], [94237751, 97411700], [5461571, 82311340], [4288873, 48810524], [86043055, 3640052], [82953941, 92444814], [84387762, 72610959], [60002862, 66008036], [87009767, 67997873], [5910249, 76095390], [68438787, 12177141], [38492707, 27695823], [56543906, 62262821], [48443437, 61382069], [36727166, 85067663], [70558487, 84069672], [8046252, 12194967], [4930512, 75798426], [96880810, 46103275], [53038233, 69743153], [91414389, 13060796], [91789261, 55612621], [11629615, 19243400], [16636595, 51252289], [35263978, 16420158], [37138926, 41008306], [19976179, 37323321], [26913972, 87017868], [89069016, 93351347], [79691880, 15139653], [20318741, 69714024], [35063069, 97489940], [3568908, 84909844], [64424868, 80553384], [12231308, 97415379], [73412056, 34630914], [94286234, 73504462], [35151267, 99352034], [89133346, 28796816], [27371363, 55560911], [71978586, 25286674], [89974914, 93246479], [82536312, 91035083], [87930781, 42344855], [85559364, 5307499], [77548186, 7523635], [71132710, 56309991], [32739334, 26313336], [51959551, 86081432], [92998646, 24803086], [33663582, 10637670], [34642594, 23911712], [91303726, 48917877], [51769418, 96566459], [97422899, 53799303], [59884009, 87175701], [51096155, 44124647], [54499568, 19033366], [29818719, 97733498], [84763721, 26932662], [16576829, 83954842], [36926178, 20279955], [38368391, 77397173], [55908989, 55650999], [11797729, 2063991], [44124726, 62294174], [43569914, 68771085], [96456065, 49976495], [22455757, 37397530], [95227699, 30783661], [15533634, 74151446], [17646416, 97215938], [64750098, 16888689], [15532591, 66250235], [53579351, 2073413], [9788815, 29165298], [1097940, 680403], [92362532, 86518125], [32097137, 70224651], [13334642, 70066417], [5249368, 32108928], [98458983, 87292382], [45194838, 6354246], [41754709, 66112448], [18749359, 52624860], [42900237, 73535485], [18622719, 32176858], [82776392, 25406229], [54502047, 15079229], [84343795, 19163587], [6177342, 858342], [90619433, 94196538], [42619443, 65324377], [60333742, 55925521], [88936895, 35716020], [40133569, 6949801], [83166794, 98092671], [19704087, 89460022], [33350034, 76728053], [81184618, 73286716], [83863181, 61221734], [87317497, 83981371], [5272206, 94103654], [17124288, 94922941], [53931910, 39909033], [25145903, 52325376], [77790650, 22492685], [9660292, 56724669], [763309, 99062922], [68521980, 27922518], [76194912, 14264034], [89968816, 22071914], [81623534, 82432721], [51763576, 4561504], [34009342, 28236266], [97217386, 14074782], [5897121, 42852998], [44117898, 82924175], [62079632, 64047430], [19429516, 70549307], [39296679, 75699837], [59595873, 47830300], [67479015, 84027039], [70620620, 8069084], [22563740, 10574511], [41469454, 47659758], [42283676, 59300128], [73484348, 29947525], [59817973, 45692435], [97313292, 2639772], [34839825, 1788954], [29377007, 18581426], [27321755, 56928500], [38475302, 27337803], [3221598, 71327241], [28388311, 92519743], [79783175, 50078959], [66640173, 79651724], [79670975, 83102493], [99748619, 78712264], [85528980, 87584290], [74704214, 42100443], [55341363, 29312479], [76418615, 43097276], [55430799, 68493326], [79879158, 10710515], [97661705, 61840617], [60066693, 1151395], [64938781, 9913747], [38571007, 206369], [99166308, 89857068], [72058379, 1371264], [93663562, 35548118], [35048478, 89024939], [53378424, 31358417], [27107459, 3856537], [64001751, 47816820], [93070211, 10363356], [14990998, 73996132], [79575166, 45391767], [14908487, 91240988], [53186492, 86563251], [55098018, 91553321], [10923895, 87452717], [75814742, 50020840], [49345443, 98005377], [85742126, 13452443], [45241982, 66129524], [41896645, 64368282], [10694551, 33794218], [62368259, 70524935], [88484046, 52319921], [42870731, 7180203], [60905187, 99533875], [85787712, 60345208], [5468923, 85572672], [37301780, 13839684], [20541654, 4337988], [43810695, 53158419], [11049077, 44038580], [86795063, 35692612], [47373217, 70590510], [50861747, 86774921], [1670918, 95236598], [37255380, 62638338], [27302782, 75429635], [48253754, 16840563], [32549991, 63690902], [74153510, 35346660], [89954804, 49325041], [4792723, 50958377], [88108626, 86519984], [80894393, 81770502], [67120432, 8992067], [11341293, 49881160], [40580046, 23192549], [1899478, 44925240], [95758863, 1024892], [50245838, 39585624], [54526387, 55058124], [37658443, 99738807], [83588764, 16735527], [96376825, 27919878], [44400825, 82590894], [47792831, 79757668], [25187314, 54772254], [5198159, 63774974], [58191534, 6591761], [89003507, 42103762], [62766499, 79038978], [6247905, 1399743], [85310768, 18132644], [96255901, 79378250], [92680172, 28990609], [42367851, 47596698], [34167469, 57101897], [62547028, 39080835], [78187948, 53917711], [5457464, 89175020], [38757002, 3328223], [92174629, 45789612], [50075903, 38283266], [18725925, 74898509], [63899687, 57945988], [25015726, 67911580], [69090005, 27137509], [2812450, 94444318], [52835748, 25977669], [98068860, 59999967], [71791520, 28052723], [56781301, 99217559], [97225422, 5425299], [60548530, 63409838], [17964500, 407332], [80050928, 33065203], [80691640, 92452139], [55674981, 67799247], [63240957, 97087257], [16232496, 43492710], [73533570, 24411160], [8315113, 88734244], [96152177, 66323035], [50555873, 71210272], [97089982, 60166526], [85814654, 8865437], [64922598, 4066078], [77888612, 67763355], [9788422, 53457015], [6907929, 23901600], [18203821, 54143708], [12660508, 6504374], [92804133, 39992706], [25895258, 86037056], [75261594, 94254351], [78931379, 43826763], [9811300, 82900547], [49230184, 42302643], [42811615, 13951424], [34265640, 74687390], [48020393, 27363919], [80729406, 92507148], [70840006, 93963272], [57846429, 27245912], [90830598, 44248154], [51460819, 17735404], [13240271, 82372844], [14181056, 52515657], [1035753, 53838310], [16155882, 65963909], [22583732, 96997749], [47674767, 28670916], [73964483, 94546618], [16413040, 69380893], [49033755, 6789715], [89784853, 70891171], [63514377, 89581203], [93611643, 11977521], [13576206, 3417952], [11231426, 20806773], [90679145, 12859615], [79364047, 70733512], [69059080, 55198423], [69213198, 65725428], [40741293, 78493342], [69023962, 66346237], [62451801, 1058953], [1216273, 17209687], [52401409, 13396760], [68965246, 27587351], [14952040, 38189418], [74193448, 216748], [81405946, 86527843], [28808056, 4416820], [60536917, 26967310], [33848852, 26625288], [28562081, 17068217], [57246464, 88937708], [11917293, 30176855], [52180405, 20073195], [20697740, 3797272], [54764194, 10098378], [42038995, 97710769], [9713720, 85513004], [7852377, 66127933], [86543218, 20164899], [1509687, 73365938], [65261601, 97169356], [67561857, 87730518], [96274959, 66729488], [30653568, 72033303], [8346959, 27783126], [92794638, 20204679], [2527346, 69382143], [83010205, 83314011], [65615249, 97695113], [47669777, 8275549], [98818583, 17194161], [63160529, 16845437], [75386864, 24222298], [31342882, 13396253], [6991984, 65477093], [83289741, 23301029], [64933214, 19679986], [32616897, 73183359], [95121058, 49179639], [43792861, 58996730], [53855200, 85783331], [28671925, 71068489], [84596732, 98467065], [91899165, 70148049], [67408553, 38702919], [4910151, 120880], [398999, 53376189], [19856487, 73218890], [90930038, 7932148], [50664157, 20904746], [19872894, 94918734], [681696, 45328028], [14589176, 26406469], [76177072, 73788908], [26947355, 70849150], [44911040, 78773255], [36925548, 45486004], [14128981, 87390567], [4120092, 34691767], [66195263, 1122501], [75154912, 23081343], [5330898, 55669582], [87227454, 13699144], [279873, 62717588], [146249, 35799386], [91074, 75528514], [39774240, 17283139], [31675979, 11809138], [23484858, 46601866], [74935657, 86211317], [5121403, 36517370], [61385787, 67879610], [28680180, 82491279], [83268001, 99755066], [58595911, 64522559], [83469175, 58833876], [35813114, 61783497], [44341323, 62806059], [65308321, 50648684], [26890609, 39014028], [23531139, 43930871], [76765865, 18719246], [78858229, 64617367], [9331841, 40132785], [27761878, 78158169], [64740712, 78864868], [88564799, 60703738], [19484102, 98415397], [14390378, 98652959], [1649356, 31881466], [40091355, 89463589], [1274636, 26747415], [63737436, 12632437], [61935657, 17719280], [78061911, 47207814], [47735012, 30330959], [17103954, 10636570], [6446193, 50076981], [20820645, 94020763], [47696189, 6404984], [92966438, 75474487], [3334430, 35483457], [92259796, 49611310], [33583202, 643312], [69234855, 217553], [248563, 71947942], [69948432, 57501381], [5798777, 86611774], [75369940, 2416029], [85096716, 99044062], [62713784, 78567638], [15182091, 38151718], [50341683, 90194045], [4223928, 62634700], [23280528, 3243343], [18741632, 89433280], [51658851, 24759783], [88462226, 98560245], [31025671, 45507624], [92933510, 93467388], [12557590, 43974105], [24710292, 33491557], [54687451, 85724677], [85451869, 79935236], [39819177, 19439786], [53713715, 34840115], [4632790, 23216720], [84780582, 11516408], [41796571, 66178543], [91046051, 5840647], [47245805, 21371127], [81151777, 50657966], [97230488, 72203819], [69411301, 5688500], [55480161, 90389298], [61776069, 59013434], [97292849, 23242135], [46531088, 87084295], [64024902, 93142523], [36617770, 65850025], [65418073, 26190269], [27922485, 77624535], [12955602, 93398722], [36988002, 60539661], [44707890, 95455584], [46301336, 30432420], [27431309, 71219375], [54787777, 81059960], [1931642, 17074617], [18331306, 63840547], [29409932, 68302618], [56569838, 36033029], [54259202, 86832136], [44852300, 82707482], [65129512, 22591377], [17720817, 27572095], [61767809, 38676966], [45648864, 44886268], [59457149, 78536617], [51375325, 99943910], [30780844, 31413024], [64504660, 95323324], [40757642, 27373414], [348928, 72683745], [47398851, 17233647], [95122603, 21769248], [80083850, 67221623], [12965203, 31774535], [83274694, 79634826], [53030461, 18391009], [46090361, 20925910], [66639951, 10356479], [49876107, 28161572], [41778266, 70066331], [32604441, 34962763], [23158382, 28976852], [14208727, 85492711], [90048129, 1040878], [99325379, 11877505], [84746540, 21641304], [3697662, 44929911], [1706163, 38852666], [34378487, 40120275], [66045011, 16991350], [17918935, 80906751], [22496487, 29146802], [51801795, 90280986], [61180286, 80885163], [10815827, 74586332], [57074874, 9953780], [8898766, 84165613], [16224180, 44556910], [47989591, 44971406], [72730768, 4963874], [28228407, 49964623], [91073780, 98218245], [60491099, 63324259], [137572, 59078973], [38301497, 17923595], [10150819, 54488909], [42869162, 87619094], [28253153, 45578318], [87801920, 98199963], [73263734, 13708148], [84636737, 7971959], [37714391, 37317886], [43546360, 64876518], [6013471, 66737169], [34407252, 70157543], [99722669, 28961344], [80062801, 48227258], [61150769, 40946815], [56306967, 87155431], [98493769, 42755108], [55583488, 32087102], [77756692, 81368905], [87063838, 54366847], [59612535, 55142689], [70567395, 29691973], [10325103, 86691923], [71715930, 45412617], [56353605, 86085758], [97481692, 80166219], [27975474, 47555597], [99744175, 37477327], [62489140, 20749723], [23639594, 59035358], [85692923, 34886426], [12999582, 9788766], [18121469, 19089518], [19980713, 55375773], [19058924, 73746442], [14870282, 71285701], [61345733, 24892271], [88089127, 38066303], [67312454, 8881851], [60570475, 80034872], [75278636, 87984116], [89036949, 82039900], [59218037, 57399979], [91427680, 54594159], [53107992, 39601812], [92650224, 54751582], [52148488, 67762413], [89874520, 43736476], [66219959, 83938984], [43498627, 26488251], [49458215, 37519658], [7337167, 3408960], [37263286, 26305415], [91931189, 79184806], [94049281, 55946977], [65505890, 8550750], [57825081, 21664088], [66863483, 44932204], [3064019, 4996204], [23300665, 63485130], [87737165, 47323901], [14282753, 95286208], [97661189, 1561086], [82796797, 30123831], [20453303, 88832739], [55469652, 34149726], [56833145, 37536865], [45466201, 10479356], [40173866, 37575789], [87955881, 63676916], [51892390, 5521506], [75206651, 94152513], [66521580, 84702293], [82412392, 39391383], [60834301, 71008813], [16917423, 1671454], [11559789, 80722755], [19433478, 2204939], [34968998, 64477782], [11454122, 16158922], [61922567, 9098864], [69900666, 47464546], [12154358, 56996597], [48238472, 89152544], [31275623, 40189372], [45649478, 24536523], [13099233, 88705097], [12135078, 53076176], [72758239, 63636948], [16615984, 45996886], [91416129, 54756], [35992838, 26234685], [3954339, 97935233], [87780192, 74368793], [41062502, 82128531], [4961296, 62864798], [3835550, 24777259], [9746066, 89586605], [31354549, 14469885], [50852778, 62219612], [31811891, 86344447], [93683498, 72852367], [45404621, 5340577], [97043354, 2890072], [50108855, 33458017], [20816570, 35637840], [79796153, 15060348], [18864194, 97319596], [29882939, 14247622], [65434624, 20688153], [60190206, 74849802], [7809301, 5603001], [31403482, 22108161], [16476180, 51944286], [65182592, 73515311], [40861381, 78899442], [83046624, 20462122], [96236248, 15259061], [8385455, 86581405], [89717527, 88203618], [56294482, 65422702], [32734341, 66450537], [69857904, 70689357], [27703657, 36051880], [883509, 81768169], [86622084, 82981317], [84670013, 89068422], [64798509, 80886098], [49173389, 49395712], [982914, 13665456], [61065121, 84973403], [35259291, 68123469], [53084902, 77710705], [89194522, 61324748], [81332822, 98158974], [21651749, 81450465], [40721871, 6894681], [69268652, 19724899], [19215717, 35534188], [13176206, 14219684], [2886538, 42563930], [92228844, 93344992], [79478037, 87348194], [63218600, 1162995], [45312548, 66563724], [70908231, 30603983], [76561548, 2757456], [86861872, 67080265], [92339195, 87814101], [57870381, 60102188], [46162920, 35128358], [86544793, 69801022], [98143062, 14615755], [73919643, 22781040], [66880728, 43664905], [33281577, 47272360], [79009729, 20168367], [63431161, 23385712], [13835536, 10757166], [45895622, 56789063], [10695089, 4037566], [33354834, 84676494], [33902719, 99041540], [81352352, 87152508], [48059068, 16175292], [5296158, 85251968], [73330856, 15024553], [97175750, 419047], [94187238, 48846869], [62049550, 48079029], [802180, 771417], [24600386, 88357600], [38905987, 7376164], [14999877, 28279889], [16070385, 56595628], [88951522, 68361505], [37540415, 44725873], [45847874, 94133278], [66916604, 32047442], [37422744, 64887443], [2725059, 60116265], [32020502, 57139543], [38725538, 22097098], [65396139, 21804620], [43043944, 54921596], [21430804, 88251304], [29919610, 44775620], [26418865, 86469158], [59342221, 40998315], [25414188, 75800945], [11500102, 1838343], [13855497, 64139010], [3633126, 26843679], [1257995, 3259324], [59808878, 51832572], [21943105, 45342802], [24774844, 85852053], [42395391, 40141793], [86625677, 68491236], [13014658, 6129793], [47922597, 70624419], [59740652, 61491392], [4115287, 45896871], [9861780, 10441402], [80694941, 92497201], [30850447, 26800087], [83840988, 11988760], [47311498, 55383594], [99680514, 71373510], [74784362, 97365439], [17458403, 776152], [75316229, 78554905], [22434184, 46447981], [82212459, 43808058], [548188, 30605582], [82001390, 84013456], [54982939, 55168755], [24376605, 41736391], [37310685, 53630671], [11636179, 50407102], [48807372, 29212982], [46078574, 83770746], [94718839, 26837281], [76566480, 71548518], [14527023, 27901456], [17620362, 44863434], [57168708, 67914616], [24893532, 75062051], [4491993, 3989055], [57742220, 49300750], [54825081, 57366898], [49533985, 9836256], [46988698, 96874573], [49949179, 22238728], [80987507, 89094314], [7878968, 11628463], [17955253, 544066], [12629542, 93806020], [98210506, 92486940], [29651083, 9363282], [21422060, 98921929], [41010434, 53204288], [78201784, 47327679], [69256284, 60021125], [34312897, 58810806], [57325021, 28810702], [78791025, 50268255], [99795453, 64293841], [86772857, 94145412], [22664615, 16098654], [15894495, 48284416], [49986853, 60702035], [44450057, 36899606], [5802234, 99922210], [22691276, 92260547], [95497681, 79917426], [80611767, 92448188], [15800275, 79664385], [23967379, 95177452], [67614316, 52870469], [76969911, 86287677], [72991071, 53713676], [71467041, 78929867], [11523047, 26445611], [33745173, 13653802], [86590105, 70468763], [38806909, 28158515], [76339826, 37229217], [10825556, 73272670], [98094160, 82809744], [85251010, 9669055], [50043785, 4066389], [83999301, 21812515], [12939765, 73880237], [57214357, 69241068], [33247226, 34669836], [13252373, 63869810], [76925030, 66229791], [96849231, 20882912], [8122384, 79662045], [6868602, 5397373], [80718815, 87479964], [56215883, 24531263], [19621605, 51186921], [90144326, 32811027], [83697591, 71536654], [2827656, 21270684], [51622342, 25364415], [60127081, 94412172], [80798164, 44075125], [29534282, 30220061], [75210804, 64899748], [27078715, 60707444], [92275385, 54853338], [84907633, 57111130], [13094552, 31018498], [30441077, 1392819], [25252876, 65051960], [93180103, 96013759], [9801215, 31235096], [8772097, 80923759], [65322459, 8017679], [11425933, 65234650], [46190734, 77687228], [39638135, 18371242], [65719934, 47414006], [77982962, 9045723], [96942349, 76401319], [60825046, 5836215], [23518986, 88290061], [42403389, 98549372], [80408795, 12892910], [12465164, 24236265], [14956674, 58968414], [85803139, 30026905], [69090257, 45081084], [79270311, 5171692], [36210825, 92242966], [66659914, 53254277], [28270469, 52370848], [62644170, 35130937], [55351936, 33995330], [88939344, 95295527], [78079047, 57168509], [14489675, 57794122], [69336997, 44034270], [92086127, 31031779], [7655541, 8412425], [3552357, 5295241], [41050768, 21293645], [53769186, 46723593], [96021698, 25015312], [35338649, 45334688], [37958669, 82819346], [63563320, 6091273], [50583885, 63424155], [19218121, 88311421], [58336864, 27987809], [49202914, 7477416], [27683925, 3922957], [84476928, 28649936], [2914784, 2122628], [84659086, 33927593], [18842434, 27476951], [76127976, 75313398], [75884131, 94557883], [52259659, 17233496], [18367993, 95243382], [76384966, 23174577], [9510247, 55969698], [82644540, 10601118], [63527175, 20970653], [37425517, 82654048], [72185000, 8471452], [57637188, 73749079], [59915012, 29091631], [48710259, 72259912], [56234583, 43691857], [77184029, 7856158], [81267812, 16469034], [27220416, 26733644], [60103598, 31821993], [41990255, 50552374], [63087032, 82616685], [84645762, 35212277], [97837339, 99395233], [28662677, 63793708], [77603240, 72262022], [34989372, 5262970], [14925435, 76587179], [26914481, 26105670], [2330288, 64366974], [42827183, 22692261], [71891242, 37843184], [37773715, 64173364], [92272928, 70137762], [76513653, 68473852], [44839785, 15406674], [67867817, 23374174], [2000558, 20521724], [74037968, 32397505], [56827028, 67825047], [18915146, 57465308], [46328900, 1983620], [51964682, 58359279], [67802350, 87119487], [98481430, 62841637], [36623682, 66468577], [91729070, 9806960], [6398366, 78991310], [93613216, 52604096], [79291977, 70916461], [26149966, 22872670], [67159297, 53243889], [38389070, 37110032], [87524574, 38105593], [58101191, 69032982], [27198259, 47348611], [90914356, 19483876], [5528264, 42861194], [27574029, 28813186], [27757182, 46334749], [88828392, 51756217], [73310016, 13059653], [94795190, 28213148], [22088539, 7840788], [54863999, 67595244], [11825680, 97986556], [25924996, 9790553], [980040, 95461085], [76164770, 91248343], [43272503, 35354188], [18867007, 10656119], [89618878, 68822367], [21131535, 69240581], [78038653, 27362682], [51714963, 94916085], [89214096, 40970464], [38379100, 21267952], [55359732, 36422819], [88237937, 11895001], [28352365, 93874263], [41478804, 44461803], [6474009, 25874072], [61669069, 87503464], [59311011, 24025766], [48515149, 68846669], [23778445, 20878253], [81300776, 40256781], [8028849, 57030966], [62185431, 56579978], [43308830, 16617226], [56250324, 51395040], [83075440, 87549875], [15881887, 10934362], [39621460, 23976931], [39131574, 6363086], [88914590, 51946830], [50019033, 81064871], [39049171, 54751242], [70058720, 73756204], [4212167, 33776523], [94341527, 7171533], [88610906, 57943706], [9764021, 20314175], [64243379, 89641559], [53911867, 79795238], [55554236, 25207328], [44697157, 16796863], [33860452, 63480616], [37235598, 77071522], [79580560, 80665420], [98588004, 41775857], [22345835, 76732318], [96239393, 46558064], [42010155, 65432282], [80725519, 94644509], [69670753, 91057964], [20973469, 35292361], [53100279, 25349004], [81531920, 37330914], [99355436, 96973978], [16607910, 37339031], [5671188, 27671507], [61793693, 42035664], [48837176, 15370591], [78221957, 62381701], [53069416, 87335770], [18522521, 70554973], [41324570, 24990854], [27153246, 37112518], [69080679, 33791954], [99203739, 55313440], [94095163, 84976362], [72943941, 49666890], [52174333, 86143151], [88893468, 89922961], [50192952, 83254904], [10411112, 3589861], [93612683, 72292050], [59606435, 72465952], [84990782, 3542574], [19402218, 5862636], [39843271, 65173976], [54864865, 67868407], [33069710, 81472976], [40963239, 45643993], [41679313, 24184395], [28104321, 99890529], [39561767, 73872011], [46250612, 11145121], [67692104, 91420672], [8683039, 96174241], [54308213, 52582973], [44796053, 64389638], [17380525, 84443946], [49759408, 7232885], [6966549, 26666856], [53498035, 70440402], [37190612, 36834731], [30681083, 9373772], [82823074, 42292918], [28431754, 90190123], [90566719, 6329689], [21994934, 95202312], [9217346, 87560892], [34982650, 81747209], [48847340, 51984709], [72670145, 71517187], [62516202, 3358383], [70504840, 14397083], [73084951, 10951977], [13166048, 55780533], [2089494, 11498758], [32670825, 92177905], [23080773, 19808875], [55916624, 96044988], [35455981, 88173689], [57795724, 36624637], [14628943, 48221061], [36139346, 10248011], [4207115, 29279045], [46515129, 7246194], [63990499, 41055990], [52204272, 35535875], [51319082, 97816221], [2405051, 78495135], [90332331, 62280203], [7439126, 13880934], [11093379, 80846680], [12530077, 43804804], [73936629, 90367734], [69247508, 76619450], [82013916, 82507949], [92583666, 37075010], [50862089, 57519660], [64194614, 9507667], [44091557, 48607815], [16663637, 19628990], [78951704, 38873488], [19384056, 97893908], [38261058, 40059700], [47331221, 85131289], [65765408, 59400014], [95390085, 33576903], [42715174, 71527507], [26529673, 44845865], [69534919, 53168451], [85042768, 79372758], [75362738, 40344890], [78338223, 66325894], [17347982, 58365566], [20247221, 12827353], [22023945, 69710711], [31160375, 95837875], [75400598, 88858332], [66332735, 43616716], [94032502, 70348879], [55048295, 67237356], [75423706, 97721011], [16711078, 13108263], [26998217, 89525098], [61543129, 76612048], [92066468, 38724575], [16650752, 86273960], [10457598, 90378460], [5103661, 35744301], [8206780, 68991898], [24975360, 97729274], [40891576, 45294755], [80504205, 87287203], [16373755, 75854343], [30491598, 97633588], [33578441, 39300051], [36882694, 76868593], [28564189, 46787632], [32365011, 66935094], [14748081, 34819012], [4205293, 87418595], [35586608, 13497946], [82507356, 5446599], [6993974, 8329945], [40594808, 73020275], [91724749, 39909250], [99923878, 55073543], [66954811, 5555835], [41301815, 50261006], [20729807, 90225891], [96547261, 76888145], [85669763, 33548126], [32850022, 40052923], [57774988, 66459808], [88994546, 71355032], [85542991, 54146992], [41179746, 34498546], [56835929, 98093561], [72894110, 73431475], [81097524, 6325129], [38379009, 8843867], [97477590, 64120982], [43154036, 3055091], [18903938, 54932493], [35995044, 66340472], [83662385, 80975571], [47143042, 94293856], [83478957, 68205858], [53409953, 79498683], [43855439, 52716930], [58812868, 7480317], [95907752, 50841917], [14678750, 31119803], [55912146, 71308104], [73477844, 54846437], [42837327, 54701007], [1674285, 69346252], [34339330, 54716661], [52908574, 69599879], [55417102, 37277428], [13045123, 73717309], [75643530, 38518951], [51585431, 85076872], [89064924, 48336598], [17251946, 94290768], [1719394, 95321087], [63141362, 43002735], [27719703, 72195257], [76558345, 64556153], [45567507, 68438844], [73749881, 98239198], [74388330, 52120542], [36142187, 5643802], [22319159, 7186876], [70581229, 79065306], [57317947, 12809178], [15954508, 27714796], [2300553, 9916553], [8530094, 88689849], [55990789, 89479206], [4999753, 61721485], [29393813, 25742902], [97573385, 84955926], [95259853, 25266081], [24073298, 74190555], [85424579, 79515288], [79749348, 30451973], [92223412, 62059715], [89567769, 47104523], [50759294, 4923846], [81804174, 70972473], [23756699, 54123535], [13503995, 46860294], [42286623, 89546569], [13177928, 71504543], [1835297, 86938084], [83696724, 84307431], [48303327, 6596238], [5481546, 15338689], [97231402, 48954834], [6270279, 69236385], [75039071, 9476915], [76344796, 35418568], [49559069, 63362509], [55155435, 96901331], [93153533, 86181271], [57922948, 1172121], [7156638, 89276349], [11070936, 58655341], [97887427, 78471360], [99177957, 85820973], [49891776, 3680403], [30778257, 50100781], [56285498, 30883449], [11323952, 21088784], [77585661, 71792877], [79018767, 19773739], [6284314, 1919051], [76105048, 25516800], [5226322, 9011690], [21421409, 16799419], [38919720, 28018320], [55512127, 5111681], [86079684, 22524691], [75193718, 87036052], [68906802, 88085976], [50439886, 84314826], [2489742, 7477498], [28482203, 26467898], [680267, 59409896], [70750283, 23638575], [83152320, 28132909], [44369045, 98257865], [4680379, 72063720], [57504427, 20898763], [62515778, 54599318], [38624879, 63352552], [15255287, 54792664], [88978302, 4235203], [38072827, 86646552], [33681287, 57748553], [90599216, 15929092], [11789637, 39738255], [13726299, 76041225], [19859312, 94933170], [89351144, 80904698], [42094859, 33289534], [77074876, 94534970], [75331159, 54317887], [93810097, 45815449], [43894654, 98833245], [3638529, 31806527], [74000911, 46360535], [56458269, 10413139], [78686203, 67113623], [4479937, 84542942], [28428257, 55474468], [80477207, 97866431], [32935616, 60887235], [18908122, 29622880], [15816047, 374511], [43854541, 71639118], [83296181, 79543588], [27127124, 27600647], [35793396, 90223896], [94319148, 67511126], [15049228, 6449791], [46003576, 2491209], [19362754, 37727604], [99111318, 88897203], [5769799, 60622542], [23312379, 92109382], [65880956, 48537444], [82486988, 87261579], [19452125, 25238427], [33798213, 94687584], [72902320, 28496110], [56359313, 40601393], [82519570, 86509773], [16961574, 72206243], [82693966, 18937516], [97210983, 54285536], [40168714, 52675506], [72023325, 55855191], [90454594, 9238409], [73005694, 47276787], [86987522, 74521301], [27675479, 18635589], [22032261, 26059995], [9088223, 55876449], [86397876, 71744643], [49738121, 15353307], [15107047, 74993501], [34229265, 17894011], [24988149, 11813519], [30592125, 47815973], [55533392, 83727209], [17911282, 1986683], [5646674, 6866158], [14391228, 66896091], [87493063, 18540326], [6900664, 63584250], [86847605, 67685663], [35598627, 36286854], [98850621, 47001524], [25683548, 94522860], [14261325, 12298967], [32860995, 1095760], [10491014, 99600132], [48237514, 19987546], [63764596, 86963826], [13779589, 72378978], [90306766, 34231502], [11449740, 69620913], [66343140, 88702952], [38380517, 2066437], [60086254, 88817849], [57502827, 3835941], [23920798, 9676969], [25783132, 18140718], [14065520, 61482209], [23027018, 80996382], [11444356, 43370703], [3162280, 71162341], [21006090, 16865878], [48677204, 42307684], [72384967, 18762141], [23434570, 58243644], [66707328, 83015173], [376482, 52243569], [12912762, 73397229], [53393451, 35001800], [64853195, 74994168], [46160001, 92566051], [14509647, 56047887], [69863086, 12086105], [67456560, 40274647], [69671653, 42138206], [44570531, 18801035], [45700386, 30323307], [61523200, 51163062], [5158109, 51707662], [13392040, 93889278], [91098399, 78657946], [48731031, 69500557], [67437346, 74167615], [66339391, 13845576], [80977481, 86415734], [70010594, 94468266], [79863599, 23542824], [40128684, 26938314], [87857409, 76291833], [6320919, 79700311], [39439703, 10606682], [25982227, 3302193], [39907249, 68414197], [98717935, 48234605], [72449503, 20238082], [89611852, 35227074], [8811084, 3612541], [55996288, 65683603], [57006826, 77909438], [82719169, 20186371], [32177066, 60010412], [36132596, 7686734], [70763288, 14617110], [98423140, 7222433], [50823911, 53856947], [28015499, 39574647], [98647594, 72991164], [69951845, 12558215], [2762164, 8017823], [77061355, 37497155], [20104807, 89272069], [41809725, 56763207], [75882193, 34754577], [23434853, 40859542], [26672109, 9674177], [67627812, 11528800], [84206069, 52347660], [31285430, 77919137], [72352400, 87476268], [41362430, 73014519], [49870685, 53059008], [1119995, 12772933], [34490159, 49015581], [83226148, 67694187], [82026041, 65650380], [51198794, 10394799], [90585412, 59354094], [70778530, 89090810], [24366445, 13345491], [33320178, 40650937], [48783823, 2066870], [60763928, 43585628], [11755768, 4090351], [73208764, 82199509], [13601613, 20025712], [68014384, 44952694], [19356953, 35726571], [91411364, 9669603], [72062325, 54520687], [20473142, 68633162], [90201630, 96957970], [2887977, 67904098], [36565804, 9765517], [14102990, 6554287], [88555891, 78013778], [47803137, 76160246], [90104718, 69660291], [68542643, 45938626], [63701225, 64593392], [42036913, 13381091], [20917076, 30819063], [55864847, 94130625], [41630495, 98914825], [12684196, 33150807], [26992395, 80935991], [19107934, 50257071], [35262577, 72093898], [11611103, 34015325], [14423976, 16707584], [95262159, 40448617], [74950991, 62487671], [44199481, 20793343], [3363520, 14536105], [61005180, 32969840], [70130522, 17019502], [69708263, 51589163], [44347098, 69942244], [32851894, 82401507], [86516462, 19084804], [91259636, 32171010], [13397834, 74751777], [85043700, 39453104], [57920559, 78006179], [8480245, 1160427], [60884120, 2126133], [41322383, 72036313], [87752353, 79586337], [72333940, 54358491], [79841696, 61904845], [4321578, 44573270], [48846855, 55215373], [27924231, 49648088], [46894336, 60258300], [15451325, 17852210], [14302733, 38080964], [17231664, 77017623], [141185, 98289274], [6179850, 47608350], [72010993, 8828796], [61823674, 6340926], [90466167, 95312186], [81217580, 1779204], [50853330, 18538222], [89550804, 77768196], [39948724, 48681463], [36100685, 79229959], [10956342, 65802369], [15987054, 56525234], [71920793, 97798938], [24681857, 38089880], [34669410, 85155980], [48125389, 10003318], [39599862, 6850928], [50676987, 90745754], [47646631, 48706440], [7554368, 60023165], [80577612, 58959254], [45317981, 77829039], [76253977, 46635837], [25910043, 99719402], [50694763, 1231300], [50514116, 57752384], [23447837, 6018562], [66108824, 70192681], [10119331, 23642743], [30408267, 24621655], [24287726, 91779080], [81648214, 82359462], [18352329, 42930749], [5878757, 23988639], [94798361, 40804305], [70286853, 57483330], [48947790, 86709449], [69486778, 28230191], [17227172, 29458270], [88680425, 17634744], [94645029, 16364303], [73921305, 49942169], [65569633, 30962022], [8820885, 26825184], [69693862, 51373800], [76739341, 56351841], [4923311, 22235529], [42823810, 2153711], [44942744, 94520988], [55146912, 75948823], [28061830, 6004207], [8472941, 97868334], [27889136, 78642027], [57776679, 7097255], [84465463, 7027215], [1523124, 13181524], [22300091, 61470158], [16870579, 25255456], [93356159, 34113370], [5451828, 33516103], [7133845, 30468030], [38834670, 41189582], [61993939, 67261069], [2605925, 38922688], [52963955, 66930279], [36210580, 86031245], [86084213, 75034163], [73552882, 37620270], [26451585, 55942552], [46431418, 94271324], [37026175, 98151707], [95864018, 71923803], [47604067, 79653172], [19801946, 81965706], [19331272, 94615692], [82269292, 85555918], [48919805, 76819809], [64875350, 88312686], [93669536, 56805511], [10022923, 112137], [28288957, 24918762], [36658612, 25133374], [88739976, 92664135], [32724673, 8595015], [6614025, 35972471], [86133676, 84472589], [88466941, 16117476], [22996824, 45656197], [69660402, 12853465], [52006012, 8531140], [21844627, 62634984], [22790481, 1345861], [4721149, 30682590], [17108618, 20783131], [40780211, 89079755], [80325793, 90983600], [76498562, 61216609], [17099644, 58554307], [53977866, 64294002], [45745407, 87015201], [94272071, 57503473], [45476902, 3107767], [98350783, 75158634], [35684870, 74010861], [73948562, 31348929], [15477151, 73260561], [76407687, 51511652], [29785663, 88545221], [65268829, 4069754], [47197616, 3974606], [82952980, 44856921], [54025512, 11056700], [71147935, 44447331], [36414238, 95630756], [18732938, 41301619], [74767186, 66238048], [84617271, 30703831], [82075834, 56295809], [6926342, 47760662], [15952122, 55639289], [50399407, 83723001], [75345142, 59383752], [2260365, 5057032], [92711651, 71178520], [17627093, 93969704], [22051851, 50168550], [10221462, 59097312], [41862916, 29780677], [11226009, 56190184], [74717438, 72058398], [31191173, 82558906], [26157031, 1630715], [65057040, 49309573], [37202038, 59674718], [78172106, 51308374], [18959646, 38575710], [7786515, 27927048], [14459484, 96239593], [88024077, 81621461], [77001549, 12540736], [33787280, 49681349], [32356603, 69898398], [42278862, 51819112], [22840314, 75226222], [83372224, 18240059], [89540622, 81863248], [84828055, 1631966], [9326607, 54567711], [30067454, 2301586], [67459845, 55717988], [32441568, 13405363], [9486714, 96794458], [55090727, 13663722], [42074586, 92896837], [28352181, 16147128], [50923874, 17663629], [87792284, 34900476], [22155521, 98782576], [9372683, 99953085], [1147181, 12764999], [29389579, 33486489], [611458, 30146572], [16593501, 2168768], [61327536, 20470038], [6921287, 86050412], [67221810, 63399989], [76014343, 74750041], [60730729, 29045940], [8187140, 4252409], [12172066, 33467154], [73472288, 26795060], [70255464, 36001169], [39026076, 1659602], [16238770, 85431085], [64523353, 96231618], [57607957, 82457025], [22972111, 11659173], [76948302, 4850181], [76262053, 58895874], [15962632, 7429978], [85956503, 86413039], [49402059, 83100179], [57921151, 88570822], [99295460, 43367999], [99287018, 33032417], [50317048, 49214410], [36241064, 43719772], [88515094, 71794763], [9553228, 95998849], [56098724, 60996531], [63038891, 80252055], [8248158, 14234551], [47159464, 31937224], [1393670, 50136525], [1196366, 84563468], [141876, 76590028], [32396811, 31641866], [36088078, 82505197], [66277020, 51326596], [10547146, 78770152], [69893970, 88784719], [69400605, 85788911], [51756715, 34860054], [33430423, 35663878], [70719124, 71165551], [69515779, 32018150], [76191160, 74555776], [98147154, 39729728], [20918037, 11361027], [99692495, 18438356], [14895532, 95241485], [9688848, 69238332], [33335965, 75071772], [2876365, 6702048], [3756906, 58215801], [82982215, 95099257], [26656004, 19330381], [11981487, 68829635], [82292595, 24990426], [79553407, 2438642], [69574556, 4980905], [90176531, 50390471], [55911811, 46070962], [69286050, 79394362], [59176306, 83216710], [28217037, 19597915], [6709017, 81841550], [62120441, 84219570], [59358756, 48281357], [33666591, 2060657], [89865088, 39188002], [85255204, 95460502], [69485039, 64145581], [60066130, 79093998], [77823270, 5238131], [91530596, 84607408], [16586917, 3175617], [95481458, 47956065], [31480207, 33390173], [45473794, 51132575], [55176250, 41267367], [4077573, 42519974], [66280423, 77690456], [68632732, 9201259], [74875980, 14178234], [38320286, 39713799], [22257369, 68791536], [86412525, 32693548], [89370722, 4535428], [62487495, 58131442], [43916279, 58935397], [37239777, 95660460], [87789731, 92424886], [390003, 54453944], [16488032, 56578776], [3429115, 80154309], [9451282, 98680733], [53538465, 37291847], [21855480, 48845655], [62533129, 2330713], [41427368, 83142929], [57176668, 94267702], [15495871, 65661547], [49143769, 80042546], [46164587, 84460523], [55305222, 7201392], [45176892, 23787886], [34009137, 46363482], [84636570, 55781347], [56203225, 36446840], [77109359, 27406082], [54444973, 15414144], [30841919, 59530528], [76736458, 40732963], [69920526, 85618478], [92442969, 47921493], [65377897, 86523898], [95901513, 88508856], [77029244, 495938], [31609391, 27971119], [96508830, 16340793], [25939074, 90561781], [5320879, 90814968], [11923452, 29073847], [21803950, 13625201], [60764320, 36105905], [52917101, 62979385], [2887423, 1393423], [59742922, 31154852], [34455509, 52758410], [49734749, 49597164], [51510257, 29009146], [50480984, 72116030], [98359948, 75690996], [27297243, 99076983], [26735124, 69172561], [33117722, 10922320], [45175674, 15035556], [38203934, 43704143], [76611755, 44481057], [44834966, 82370054], [21196087, 99809564], [34315156, 72838192], [91794918, 31222210], [28824480, 11500602], [38727373, 96775946], [83166537, 11712775], [66422848, 82995156], [84456497, 21791478], [81865366, 74937923], [25066415, 32926582], [44953231, 47849363], [3358137, 14346120], [98399063, 98430684], [25212830, 6502686], [16780983, 37745858], [96640269, 95326066], [73109031, 80118836], [70114560, 42250976], [37923979, 90917491], [4379991, 72449688], [56740087, 71849771], [78629838, 76939075], [39874261, 57752740], [54437992, 43483192], [13080974, 63978041], [83873629, 69553478], [2477801, 27008350], [39460703, 7605314], [47483580, 54341722], [36273415, 73492761], [73044809, 54384211], [56535044, 86325992], [62380849, 45405227], [85059424, 54915499], [53020036, 56196515], [81188874, 8345807], [95259643, 70750308], [70132301, 18970718], [75675198, 12388354], [9014492, 80674599], [79458941, 71422100], [76478102, 79149514], [97116468, 57724194], [88585667, 88565195], [6366846, 1925881], [86468149, 71459078], [79066844, 78817335], [90106088, 33149794], [1255724, 21615101], [60394073, 7771556], [93209289, 98018311], [34388657, 34976793], [67217386, 81546939], [26670337, 8028312], [2447103, 20241348], [88907566, 86010957], [92316575, 40364134], [55256512, 80591319], [49236300, 28138710], [69161321, 32170384], [16415593, 98996648], [84663325, 77797307], [67264004, 40160017], [28697430, 651236], [95862240, 63184023], [7908756, 34052446], [41306728, 36556324], [27388865, 29115255], [25020337, 65100269], [47936121, 48566233], [92190075, 79424339], [70575303, 16206129], [47505012, 52718056], [5261071, 60388379], [56105344, 44908676], [86105837, 14013498], [97067366, 88658281], [38841087, 980434], [95419524, 37231137], [94587539, 88236575], [51490778, 27123065], [92879009, 83316457], [51406753, 88480146], [18260754, 83831787], [32048387, 78942633], [781992, 77893191], [86805962, 11481313], [54198564, 74220005], [50464251, 41678488], [52938973, 67841609], [36036354, 32824139], [37233453, 90159851], [41778963, 41469888], [67153306, 29418700], [95628798, 15067422], [54300727, 20589177], [99770389, 93146835], [54893272, 59412909], [20689976, 33377690], [86816107, 10087322], [7097937, 81835944], [44761991, 15364340], [43968164, 67029385], [49797617, 33175839], [61142629, 92768244], [79325967, 56878017], [47998558, 49501661], [94801031, 96022137], [74493644, 8942308], [99119001, 31481222], [91473679, 40271175], [79409348, 9700836], [7902962, 38156995], [30487229, 45287704], [98821229, 29563512], [42549779, 6477808], [30787824, 10964554], [96205772, 26625475], [32045829, 64062561], [44131606, 50217705], [97289698, 2445797], [10119231, 75782345], [33334334, 68411045], [64296008, 73270047], [64810192, 79917845], [42959996, 37284377], [97769298, 52352049], [29470719, 76150618], [64548962, 38160691], [85261680, 16863776], [95247967, 1656363], [74723729, 17136806], [92865327, 80815401], [83519269, 35563408], [15013320, 48550127], [79270614, 62675089], [41354081, 70970790], [30911662, 15671083], [33726429, 23916990], [64317480, 21127200], [23429286, 66403893], [59709576, 20010157], [13011057, 80612626], [22165742, 30273604], [52796124, 13781886], [36672619, 6044022], [38619153, 18199645], [28947510, 88499795], [14332214, 93846485], [3356540, 34686833], [12727106, 59835245], [24183570, 49979982], [18496915, 40078506], [10933489, 70169287], [52135580, 89206681], [66137613, 53097157], [80562186, 97754854], [39981313, 89143000], [34586348, 50751975], [39623491, 13710872], [77021557, 49204583], [55217067, 71415427], [15339123, 89440609], [60054962, 35309635], [1175564, 31649785], [33864681, 11319661], [84164520, 21105984], [83194958, 16067683], [88212068, 48517702], [6323508, 8235923], [50012502, 91988838], [22726840, 19909204], [15319298, 4247424], [56748566, 65022100], [44395633, 57988601], [14013519, 9541936], [48360952, 40087294], [76420422, 39037510], [51620479, 74972443], [83175943, 19381354], [23517324, 4592923], [89570097, 79239706], [40382785, 83081283], [56118130, 2626976], [13981713, 76413944], [5775832, 38810997], [39148305, 11283734], [55865075, 52622976], [18074795, 73768658], [42172488, 57127741], [26653053, 18625495], [75305913, 17078150], [81822226, 31675052], [83986616, 23210304], [90093300, 12600662], [75107657, 63424495], [54158859, 40970806], [31852053, 53419684], [90505029, 15927491], [31096557, 56460472], [44052662, 99957200], [8811811, 68609246], [12031278, 27052754], [84724546, 91962491], [83774127, 92871666], [61973767, 55264476], [68213827, 9648703], [50225609, 64125414], [23019025, 35185806], [83984833, 56214068], [50479764, 45181199], [20724361, 35997021], [83062630, 31568962], [38500961, 53645509], [46071763, 75312007], [98731434, 64135558], [14931395, 54937145], [50070938, 74951567], [50942946, 52014790], [23360678, 10272560], [23400431, 40347633], [86110495, 5731290], [75375820, 86484288], [49600605, 74961267], [64860281, 50559306], [99427182, 65269831], [80553138, 6252346], [96433415, 44294780], [26359267, 80569595], [39502619, 66698674], [19588645, 56212362], [48930761, 22426991], [47861361, 74770005], [61046532, 32662596], [15381981, 57953691], [40441655, 22311306], [33204254, 37489007], [99993527, 16318820], [34593382, 96682886], [25654314, 65998423], [68758021, 36504568], [81899711, 19074227], [49946070, 14522806], [61860681, 66601911], [18315352, 38493465], [28872711, 50555152], [10692148, 8185199], [74724006, 94358448], [31735250, 90210291], [17104392, 72594716], [96608891, 13676723], [11733448, 64327613], [12751140, 56522944], [57100042, 20850870], [24150252, 69296094], [6418613, 16136373], [39488774, 84935386], [99428844, 79100372], [61625301, 7023662], [15463866, 75098669], [40572776, 92431560], [7940995, 87156572], [43339340, 8375276], [62066408, 35882345], [32002066, 74041762], [14081432, 44344394], [16662920, 63000094], [14597099, 1393467], [34378984, 20661919], [7383179, 16313055], [64246218, 17813172], [8573303, 34677443], [76529653, 44967077], [84906519, 18715903], [83602948, 72368547], [55462351, 24136583], [98240278, 3848401], [80718596, 52874672], [59582341, 5317982], [22861638, 25203489], [72603249, 65194024], [48796828, 22100187], [97237612, 63917799], [21111179, 76927839], [13735162, 22777439], [20436296, 97838257], [6324683, 64557072], [51336324, 90141204], [6290496, 16938580], [2233793, 40190636], [80879792, 28858191], [23999926, 91054908], [52236399, 82257805], [74864226, 1235298], [20251516, 12713551], [57705745, 95237294], [43540958, 9117321], [98841589, 42878600], [12159940, 11341727], [73969983, 7046303], [81342230, 2197651], [92248209, 59069460], [27895306, 32334068], [86003577, 15471796], [8207381, 78585475], [59519989, 74403162], [26004105, 77745348], [17737866, 22966527], [78484954, 81612547], [9002638, 34707539], [6572616, 64143520], [26319614, 24812563], [8738548, 98666296], [24349088, 10626187], [1462791, 89915437], [88856512, 97135104], [18353442, 16466380], [87199359, 68505290], [57424431, 89234692], [25941904, 962917], [63680612, 62406249], [55268243, 83648035], [96535178, 17577170], [42248662, 53055428], [29505204, 25787295], [78412031, 71558386], [80971294, 44365901], [41430366, 67149359], [42436803, 60317547], [55036272, 67093448], [75230085, 71463137], [79856253, 8975174], [32563851, 75647721], [65046802, 47559685], [2618160, 96296032], [38835386, 82304561], [73922661, 52080812], [50661891, 81310559], [32139840, 59098313], [76861258, 65025198], [74960776, 41689595], [38469565, 11329278], [6389687, 2432588], [32302387, 69136684], [79744512, 13116536], [78161234, 98822295], [37875906, 49634610], [1512511, 48854901], [92158484, 14792901], [624042, 36831753], [28671527, 87543082], [78849343, 62156256], [70688507, 74312413], [14831599, 71956316], [34822657, 42219824], [68672539, 31414188], [23945972, 65115103], [96681812, 55321653], [25347376, 68772646], [58042728, 18256970], [22529040, 7156872], [12451013, 17911939], [38224706, 68700364], [82905150, 92859009], [1206027, 83131607], [61902882, 15955725], [6990098, 90165596], [58412173, 77606356], [39665884, 20631611], [81913630, 65354546], [64920430, 31393133], [14364242, 45430374], [80740719, 64403841], [38114392, 31767109], [7415051, 29070862], [69878045, 60895167], [24213594, 75365187], [74158757, 83486580], [34101888, 97185741], [34404435, 20890179], [7072375, 12915985], [27940391, 82978601], [80582828, 30430826], [20763932, 41144022], [79599839, 7723953], [17535655, 59439491], [64688301, 30943637], [76454508, 97368948], [99270133, 88567027], [33206320, 63088003], [37805842, 20809682], [7484671, 77769399], [77269025, 17951673], [40217197, 88305260], [78939046, 82934233], [45497897, 10884078], [21771728, 40271918], [264291, 30665124], [97234713, 84892467], [45211483, 63338335], [19405313, 11652419], [413222, 42108295], [18912891, 96265639], [72177605, 38969617], [40174771, 96073401], [2540694, 55285537], [28346654, 27072610], [32451375, 36242947], [9744843, 65746038], [56856305, 2187200], [16669175, 60046541], [14091128, 72890392], [15602871, 80921323], [49281900, 5050896], [19447426, 32564942], [34821201, 28676208], [33070887, 39128915], [33527699, 80386989], [86826680, 75026003], [33315679, 57635974], [58919389, 58961601], [5585359, 34052296], [49071745, 96837688], [87621320, 16563754], [18427298, 89114216], [49423409, 32996547], [87207500, 91427438], [20194557, 53787390], [29312892, 94029667], [60159729, 38465843], [38340179, 54522806], [2807821, 92053760], [38838644, 66343869], [64622219, 46847737], [95316716, 43049420], [92223879, 38104756], [55084865, 20252325], [6100777, 22749444], [48172891, 69407575], [24941527, 93966232], [66641623, 61322492], [25036164, 25186578], [5924442, 48320601], [67207608, 57763872], [68578352, 5746133], [88138871, 55262547], [29941677, 10542290], [69078458, 9466283], [69046706, 59693003], [33233842, 23578128], [2569986, 48927780], [27302079, 59369221], [86970967, 29452924], [14202940, 83029993], [77874292, 60888358], [31743574, 89911393], [85280860, 45696815], [36656501, 32048321], [35442670, 10657860], [3351717, 43472021], [47513125, 69912918], [1803925, 51416858], [27167351, 11267242], [53624435, 9843008], [44623550, 70166569], [44868504, 85497159], [77614162, 68148788], [54725584, 39452907], [60865987, 74774039], [54650019, 15499122], [31386620, 70543286], [44458730, 74280127], [30091528, 3696415], [69314767, 1446805], [58428681, 16708396], [82020155, 12134562], [68278522, 18602369], [92834471, 44148606], [78742388, 82931874], [68947608, 59961957], [36647328, 14393732], [59800871, 22306384], [80845479, 17381104], [10195370, 18770374], [99251941, 83633358], [73038764, 84134776], [75242508, 7776998], [2254223, 19795160], [41591121, 93171239], [23069745, 97956815], [72833060, 84992155], [66793656, 41913210], [91044615, 36280142], [95638813, 96288040], [7287694, 3389989], [39811583, 75946004], [9396339, 41947287], [14852342, 28769989], [93001436, 67077914], [65185362, 3592320], [64040954, 43911783], [30895851, 96886322], [38779664, 76447033], [6888890, 15498746], [19296622, 45970210], [96341708, 98215891], [70796039, 43876750], [97224386, 53750278], [25523597, 34864298], [52844841, 5707795], [6630073, 28100320], [79787695, 98841026], [95716039, 12366725], [90217467, 98332568], [1245828, 64809631], [15636695, 74460466], [72958321, 28189643], [39828792, 53902329], [89801990, 64002243], [58158004, 59321786], [93529632, 67341125], [87140843, 31215408], [50698199, 48716920], [78464097, 98010612], [13213284, 94165033], [70742659, 73243224], [79919648, 61570356], [38360444, 9041213], [67771840, 33507213], [46182773, 35256159], [9264352, 13844945], [82754572, 93549197], [25634558, 96099479], [2098244, 53170497], [31417889, 80287563], [26612700, 26867201], [29025841, 47222511], [84629571, 87463208], [88812721, 53885506], [79889953, 59649966], [68774272, 66024946], [46004782, 23400019], [65369916, 92240209], [76641034, 21064154], [59798573, 27516730], [44020848, 34757832], [8163665, 32042376], [48983759, 18465903], [8480759, 92097126], [4557819, 32707076], [32610643, 73436222], [80798621, 9446180], [16497138, 34828997], [1341652, 76074331], [85044313, 72990657], [37967386, 64670922], [63681331, 60270260], [53332080, 71669438], [73106166, 85282269], [1230759, 90706813], [25503061, 88425718], [70085018, 53808053], [37080777, 23688980], [57926927, 25024864], [81629165, 80837307], [5072029, 75657234], [72713333, 75191160], [6602865, 82079504], [89658596, 23876346], [75960061, 89447604], [31775975, 44542330], [82321981, 76148124], [18655121, 90724595], [435886, 96210938], [58771677, 76504559], [94790642, 78167250], [10644814, 20427302], [92302879, 37276835], [91384829, 34572051], [8686794, 7092438], [83095149, 44899592], [46373789, 59047616], [70031690, 79371369], [60220220, 12830321], [27903649, 82609482], [13778210, 98764011], [4818923, 24859383], [49631350, 66623677], [20666013, 59129516], [10923526, 23049962], [46671054, 28517817], [68306745, 91852498], [28867142, 64175376], [69539816, 17963426], [32405375, 47780536], [4188232, 4331851], [89259553, 83564068], [68949828, 79256236], [74590878, 52772134], [41801354, 43055660], [94129279, 37422464], [12470735, 23389555], [6405309, 56978691], [68045774, 99231658], [97406863, 9431847], [49400369, 3335860], [40580908, 54419414], [69891309, 50057524], [57317012, 17447917], [28649075, 21455970], [18952043, 43989049], [54241784, 39325928], [93181789, 78661616], [83676138, 79398194], [13678447, 84241081], [79358801, 77190089], [5349914, 76670578], [11813400, 70198970], [63718878, 36755051], [45252566, 72736044], [40070322, 56560338], [38658839, 28325296], [4708867, 9721565], [12154917, 94289529], [98048170, 28877417], [96257760, 68724803], [80221639, 92079623], [19868873, 84086855], [84251467, 29792210], [62481434, 55290190], [82614011, 75872569], [82894169, 40245957], [52905222, 5155754], [73077115, 9451227], [5264146, 3736961], [23644465, 40330499], [56634749, 1240900], [64023975, 66210515], [95131600, 80243934], [94300178, 61762008], [24596548, 28689834], [50299669, 46204060], [8103798, 89104978], [92538853, 20361668], [46815173, 11622107], [99566856, 2156628], [56546676, 92056011], [82526594, 70166952], [45888710, 27180948], [61727700, 76460710], [92260355, 3551478], [28333115, 27424983], [9279723, 11138086], [60513083, 67183891], [37629854, 74979287], [84817412, 47774677], [4608053, 17052173], [3514795, 21748431], [7502940, 2342004], [75603477, 25293585], [25543359, 40642067], [9608961, 48187336], [96177395, 84691903], [15386897, 26768396], [64786066, 91077032], [75117883, 88814010], [89314872, 8279625], [22042405, 16826804], [8091672, 21266500], [12052537, 79975391], [7429903, 69365088], [78919428, 86532401], [70003586, 78878070], [26247532, 37549814], [69807700, 48079551], [87844444, 9803395], [8690032, 63756451], [86446892, 51746907], [20966464, 52387805], [79479993, 72921291], [40459144, 26353386], [58207150, 77188022], [80661633, 21108442], [83209168, 95432712], [71862921, 71511420], [79176419, 51653], [25729745, 61475684], [21777884, 34158553], [85496920, 257900], [71754290, 32627533], [45758992, 10058446], [71583968, 95805587], [64473775, 54913938], [6899680, 35682832], [58478867, 18597448], [10828543, 72455456], [25686168, 56910629], [76518788, 41037651], [83385534, 36299322], [57928619, 14326834], [8210153, 40413654], [49942519, 23738241], [68532011, 19408246], [18203128, 23464919], [93701319, 52069155], [2960080, 10823342], [65849362, 19523324], [74935130, 55403827], [85596055, 46097774], [91035221, 19980990], [82993648, 60665530], [54971291, 96066078], [51581779, 88472977], [42438979, 50874543], [25061710, 35991869], [38017486, 44363273], [33583493, 63943142], [60628800, 97101221], [10953066, 20759931], [10096292, 42230394], [77927383, 8802620], [23199798, 50110118], [86113684, 85354736], [70778829, 82455687], [31418581, 6321085], [23825670, 96342360], [18630554, 8272078], [4396737, 3799088], [70821153, 88683414], [4873676, 69574330], [67916697, 39836828], [84321766, 22964647], [87242430, 45184474], [98069986, 97140414], [68253053, 17155541], [31903511, 94846075], [95214169, 10036329], [70571865, 33836060], [67764807, 75174814], [6533927, 91079784], [1505083, 83758013], [5305802, 1502739], [49330765, 78324280], [97669462, 51635618], [81615754, 30363394], [28987654, 44885254], [2346551, 89389594], [29549277, 79239486], [15022751, 26159929], [17577665, 55786663], [78031331, 36549497], [22287260, 64610326], [63264441, 53167437], [78697417, 29611514], [44216979, 91042091], [10489409, 74225623], [58038585, 1900529], [65006316, 73810860], [59210514, 68993956], [90466094, 46099386], [81837650, 93600329], [25983708, 90058284], [99740684, 28055492], [38859190, 73277848], [2043253, 86157294], [63324531, 85326615], [65127312, 47346082], [78115831, 97356932], [74698884, 62609535], [54105353, 31700968], [52945544, 64354729], [24425179, 88534887], [51596035, 69130782], [50713347, 18026137], [60855326, 90804184], [32646825, 17100803], [27624648, 89408011], [15842508, 79404061], [24863698, 87289451], [23080388, 30962575], [70464956, 67723225], [39566897, 74511970], [31899978, 80898249], [44257954, 73544636], [53453847, 33933600], [78074001, 33581826], [13237158, 95377177], [42141813, 96907959], [53958864, 84088025], [12473960, 62049318], [73155864, 85863598], [15620632, 24210677], [25171674, 86384186], [1293164, 3066187], [17999804, 1478680], [4652329, 67328732], [32100601, 48952923], [67455092, 17574665], [61234847, 95177326], [37611292, 34156818], [78777060, 9224629], [73477971, 8491700], [80507122, 77823916], [9977378, 50987173], [78308882, 77036890], [3905129, 54974891], [20379156, 78300377], [25172864, 10246721], [63294494, 56964486], [22023386, 27227604], [20138969, 70454083], [98883575, 73109456], [40799365, 11736462], [11855403, 19485672], [59482222, 92761600], [77147568, 23518973], [56411133, 96246732], [74249358, 23334840], [95716138, 11025331], [87090184, 94294628], [47241046, 34370868], [43214912, 9925004], [9468151, 50809591], [97672585, 80112833], [21474833, 94271780], [95216203, 85395968], [53221441, 76496123], [98803790, 71550134], [87409846, 39030532], [25296541, 83729789], [24173124, 23873881], [97374662, 64686910], [49636642, 41887043], [59849109, 1091829], [42828065, 27289692], [61827662, 57975464], [90029135, 37907505], [51612038, 28348883], [74447338, 9112582], [19752737, 48447884], [49347140, 67083857], [63025568, 36171024], [71885925, 44129863], [9203760, 97480778], [8096811, 46289156], [69312616, 45747206], [3595756, 40500717], [98656494, 56190647], [48886018, 19504191], [9118786, 85170179], [50982748, 78759016], [66663169, 98818577], [53246548, 63468381], [16882928, 9425615], [15734286, 69210559], [87826757, 11642317], [74838840, 59945304], [71097197, 41025870], [89310428, 29699747], [93766931, 45412456], [2280644, 19092689], [95756706, 23935420], [72457943, 750592], [92842863, 72480495], [87794115, 56544382], [10930591, 44792195], [56209007, 24483532], [35408127, 87454079], [26750481, 29944680], [43719921, 35451357], [13361050, 79571859], [70573576, 52968192], [98525193, 56967880], [87095492, 97279877], [60954992, 72431585], [36008877, 82013188], [78325352, 89556737], [90371887, 98065367], [55291619, 31909040], [60209696, 51850681], [99391389, 9796785], [12769362, 14482779], [68581019, 1414870], [43750929, 25222534], [11135451, 75798266], [83939830, 72327179], [3778033, 33325308], [60692170, 10728021], [43260993, 4406297], [33367474, 50318470], [42339817, 42021254], [38991621, 18126575], [14593805, 64848898], [2846530, 60268911], [70172647, 9902905], [24282947, 17273308], [14934972, 35445128], [92060748, 18825342], [52313934, 57867033], [54773359, 38404783], [19061315, 31366826], [20970551, 90953478], [72003614, 49330674], [99033083, 86706888], [32002861, 78493268], [9785973, 83927500], [37256333, 88273058], [15416507, 62041418], [95598292, 44969005], [34659427, 4408318], [95107764, 78720931], [35736503, 65382525], [38747725, 41513432], [4806071, 50501779], [82677949, 7262009], [94377789, 18993215], [97468774, 52033115], [42598760, 90872957], [92460364, 55037186], [521036, 39600867], [72537631, 14830097], [34016119, 60995853], [60677053, 22733173], [81599868, 5785602], [2934670, 56615091], [48532074, 40091823], [20335310, 4367479], [71546698, 86338503], [39093759, 25262746], [72051223, 84417218], [1834236, 77483314], [61175995, 28316216], [41523293, 93475029], [94304736, 55813418], [82657340, 98651285], [90269572, 66001678], [136658, 11556425], [27117709, 29308088], [73372069, 94669049], [7320928, 54516310], [35002999, 8650670], [85575000, 79588011], [30299628, 5693748], [97402633, 36172704], [11450018, 55463615], [19415699, 59259237], [26873494, 72327904], [98237761, 11964797], [84557380, 69368668], [54511246, 29263737], [29182648, 99075220], [17675419, 63667539], [20498935, 83364715], [25718499, 47242941], [73631977, 75657700], [48093837, 48293475], [54306513, 5189775], [15830069, 53156912], [46046836, 38967574], [53201382, 78296268], [19530042, 70686596], [20420775, 58219074], [30814766, 52523536], [69824384, 9447228], [88293706, 75399102], [41499040, 46081303], [30133853, 95708998], [22049737, 69975342], [96000081, 1800981], [88957970, 16475788], [43426571, 11220325], [69539757, 2543836], [12439412, 69933840], [12049799, 11068289], [99206294, 26679472], [18432324, 76194350], [4971770, 12214545], [372507, 8929419], [52578283, 43928444], [642336, 59409792], [74346102, 85967429], [26586346, 99076809], [6807510, 875665], [15826568, 91863918], [64853826, 99715602], [57482001, 60835702], [74885114, 36530169], [1532841, 22331196], [6170888, 75256824], [61571229, 2237645], [74060735, 57277384], [2281365, 59563984], [44629633, 4477779], [36726389, 70174154], [13038715, 28922954], [89700889, 65104373], [49043155, 86992494], [50425992, 32118222], [71368253, 78804213], [38042035, 36300673], [89149387, 5081076], [584966, 45540488], [75486133, 6839536], [68474882, 19432627], [20977505, 21695816], [87836245, 30098896], [22297374, 29522985], [74314629, 93162806], [90932902, 24485517], [71749125, 87183998], [45886124, 80762154], [86836222, 20278214], [84954184, 71909093], [95861851, 60451154], [59737114, 43223924], [1918954, 97360179], [24989682, 61717922], [52447551, 9432781], [89382766, 68024371], [95269656, 14126226], [57124389, 57423134], [8427265, 71493636], [86045508, 91155958], [14240890, 4761333], [47401010, 46312539], [56252184, 23032468], [59779144, 44366439], [47696872, 20852833], [3849960, 47122824], [64123388, 59564269], [43797302, 55619548], [57391424, 2938143], [90249085, 18153659], [7401252, 4535777], [62621191, 82660568], [14902400, 12971291], [81330795, 76919748], [29549832, 35754344], [42100254, 73536409], [34670799, 50713374], [46635237, 23826441], [24162006, 8509285], [32418311, 71585011], [16110021, 52051094], [5168308, 98262485], [17587632, 97429760], [37977645, 89587902], [59297214, 22474671], [26031944, 52032083], [15232375, 54848832], [57599765, 86410440], [16320594, 30284176], [32314819, 75095232], [27849707, 48304661], [96151252, 73636508], [11981406, 36250849], [950876, 50533042], [68816321, 76604876], [5155033, 9870209], [1711856, 59717041], [28056622, 33751963], [42182041, 92471513], [42705104, 18222517], [8771898, 66020806], [12170373, 75979964], [1851216, 73698128], [98772950, 4477887], [10889442, 88377524], [65146137, 49988280], [31736310, 10644235], [50812384, 54583160], [60193718, 47800468], [58388741, 54805576], [7288963, 67187991], [30665994, 74667944], [47655045, 2887469], [74012350, 72037813], [22730617, 16435278], [9385872, 76731362], [34298038, 16642409], [13566093, 70657370], [74590982, 9348003], [14076474, 21163684], [47183106, 38627579], [70716035, 92650454], [15322720, 35346280], [25814158, 43530331], [3370385, 27159157], [19645669, 9988236], [84201283, 3594733], [47379469, 7917211], [59284822, 967526], [18135075, 74828113], [7838366, 71313732], [29933792, 34639000], [69480296, 32863350], [13013190, 88563292], [58848903, 36179262], [66932879, 35300667], [48118519, 99226948], [42911895, 99134897], [27541169, 64115997], [30572672, 44828127], [53270940, 68849229], [55823370, 20056672], [78021076, 43839265], [44093977, 12070717], [66740911, 40367112], [11447932, 26679442], [37735492, 51989818], [81307564, 99399551], [90460506, 47901380], [92694754, 26004287], [19159605, 33917454], [98323927, 61118108], [93360522, 905518], [35420276, 99674887], [70748421, 16109251], [78746404, 91561977], [98795268, 52995138], [18397075, 10209589], [53414361, 80237589], [72411606, 72154642], [93400770, 1137259], [42610358, 62791625], [5372942, 33419804], [81234957, 21103955], [52875697, 7485624], [6957879, 66666437], [16955998, 83007076], [48440500, 69369405], [53709944, 87689999], [31790651, 60346242], [90859166, 60323687], [7257318, 4906725], [89427261, 97307482], [66875756, 12617751], [35346684, 68832783], [40729677, 8818131], [61966793, 17109943], [62778400, 58266263], [1014047, 31336548], [25074595, 68493886], [48548873, 85629698], [55474311, 54633701], [65490161, 61626253], [21295530, 40316105], [59630241, 28703314], [45168977, 4798297], [84368953, 2731586], [95657580, 44294503], [11121471, 84628809], [60008688, 3740254], [5426949, 42325100], [73996905, 83770028], [60032773, 47316944], [17722408, 22705388], [80465533, 79058295], [74510099, 30100964], [96407156, 34539085], [76400927, 23322935], [53515789, 7691674], [84507646, 50946218], [24759396, 22263396], [80648187, 73593753], [21370980, 27354868], [47600560, 31199586], [59321328, 5768821], [63916841, 41918463], [5244430, 65799534], [70882538, 45229860], [80279615, 45673058], [90319727, 35574852], [80976985, 63764613], [55462120, 99404950], [17246373, 43918174], [51016701, 72341399], [54225633, 27271099], [99982023, 17571753], [56358638, 1796983], [48916510, 81732560], [10127279, 2091935], [38353077, 4166053], [472511, 4386046], [28255222, 7684865], [25644926, 24455193], [45178939, 83865489], [37738508, 24979627], [10576619, 94993513], [66476429, 4818361], [33568825, 194464], [76788372, 72337191], [42062376, 58136451], [75895178, 92325938], [79498787, 98949969], [6556769, 95789021], [93910922, 57312266], [22178735, 78376679], [97395383, 20273650], [5105224, 28986328], [53642535, 89288582], [32120203, 57048067], [37338749, 14427409], [78945801, 51871116], [61316033, 50123823], [25835136, 59466576], [19131738, 25472708], [68731955, 71807409], [27470071, 94736974], [51380683, 99741120], [80135947, 57593548], [34398396, 81417745], [6197849, 89872443], [26934306, 65509992], [62253064, 40163907], [53476347, 94683715], [12212734, 27905994], [42301774, 22431835], [76670958, 3817865], [30232939, 22201546], [58567564, 90595751], [94370781, 54803092], [43276665, 22931372], [46175818, 48000992], [1978256, 66449437], [81200460, 93426550], [90349085, 43997577], [76279269, 10957919], [60454056, 11205965], [12836481, 85609560], [98058593, 22027667], [33895943, 75821916], [12773256, 85767665], [993168, 63542768], [61632735, 69437472], [89307383, 5489004], [52452662, 2416544], [95917835, 15825542], [41903688, 17428670], [3360166, 8887554], [67587961, 81258509], [79738737, 76502180], [77864476, 76566844], [9522939, 13831796], [59863572, 28843804], [77574364, 89516395], [64772760, 37804959], [73045600, 80088848], [21608301, 30717412], [98126506, 62525868], [86177027, 34063194], [54647008, 80876361], [67688154, 61307792], [68272703, 36810336], [51394510, 68244635], [31217107, 62487464], [53980130, 4606495], [11191203, 38013784], [99853466, 75604791], [36893669, 81403690], [59784169, 52192039], [79614455, 1045293], [32863352, 21155405], [18250289, 32974013], [67844576, 4035763], [18127959, 327006], [69402590, 32154315], [57471197, 5202994], [56319377, 11576084], [36907452, 38223858], [85055912, 2969884], [87374941, 68030378], [32726454, 64576756], [21539700, 19415817], [49474063, 80248923], [12002008, 7459162], [959511, 42957509], [19701010, 5186526], [68595906, 63607903], [8026070, 30431981], [97275318, 42204800], [54971531, 80364010], [67192013, 73808612], [3620448, 53046235], [39252649, 37508644], [52997440, 39812338], [15555592, 83277507], [54251330, 92397557], [75582394, 68354022], [33591032, 89260089], [45195226, 41959518], [11756078, 1382426], [2748461, 62397638], [65900651, 95470627], [4675294, 45615791], [74012978, 83865584], [82955360, 99649720], [4691290, 86978757], [34237455, 49676141], [5325943, 18729466], [2743524, 74775011], [50787786, 10112794], [65226103, 14726989], [90167079, 7809893], [60030848, 6598201], [37220408, 96250294], [19415805, 39761081], [31062012, 18948013], [19002743, 39124713], [40279910, 97785743], [50207567, 57877931], [85467676, 3711999], [83429856, 18575021], [74189790, 45686391], [48823744, 1265064], [34766666, 95439879], [34500427, 86893879], [85312143, 17047581], [6341744, 22237833], [32033311, 80944624], [23141473, 39486944], [58415441, 77459547], [48805, 18776748], [17587879, 3855395], [24105633, 64967294], [3484982, 89061015], [18742081, 39308770], [74712268, 65200155], [52162475, 91587539], [847213, 2251993], [26367361, 13212709], [18999169, 65166251], [19771900, 34503220], [14276742, 51098909], [66213995, 97625295], [34282808, 12165123], [42160748, 67382842], [14809819, 68728185], [40178120, 89662363], [69360732, 32173542], [72115041, 4284736], [83368714, 44591925], [53209931, 27736960], [91105587, 8986184], [17621681, 81572360], [92153475, 4111650], [49967902, 22060764], [27867562, 56988356], [80356579, 24809894], [66598724, 70188259], [575011, 76819516], [18450894, 99842826], [73820375, 10082362], [72480085, 26051671], [40812889, 14187151], [32415080, 48297099], [28152226, 11219448], [49391654, 14472287], [94058710, 19998286], [93313489, 85195075], [37374209, 14732081], [88540297, 976518], [13246904, 57322608], [4962956, 1961398], [91274804, 31002182], [11088035, 2802944], [61513432, 58884840], [20467656, 7165449], [49124144, 637492], [15791793, 28543984], [44847337, 9829973], [85211755, 64278118], [97402108, 49938905], [42554692, 83059459], [97913033, 33533613], [28021387, 98377560], [78862857, 85007329], [84401585, 10787197], [19586903, 33801945], [66923742, 11862710], [62495002, 78326073], [57592741, 81393185], [67242022, 69978937], [48968362, 96516088], [28704952, 72314543], [81177482, 34574593], [70349669, 61872294], [8003198, 43765654], [98910428, 84173554], [61622640, 90133277], [55375904, 21187624], [46873596, 58469378], [83969212, 48700797], [63232424, 43583350], [54993675, 92171106], [73522891, 94741273], [20503658, 31271822], [63923471, 25917689], [47678774, 30264543], [85445824, 39017213], [57782254, 43556223], [67657426, 45820843], [26961475, 91132322], [96078328, 73477521], [54209330, 17406737], [69675206, 79058028], [47241374, 10286510], [68409843, 7132266], [88466946, 99868355], [51859540, 6481008], [96097406, 811776], [7231643, 36266448], [68536575, 55119133], [60381083, 49914966], [85896594, 9148152], [9224902, 26407055], [84003117, 60394026], [62225978, 53007838], [48599004, 56459271], [19984749, 90411570], [76046189, 88027007], [59988983, 71053504], [11890025, 19163902], [85133023, 75591731], [68276344, 53986243], [46835, 7036864], [3783721, 63687195], [26696475, 45814030], [3424653, 9543272], [64462647, 67521537], [38228021, 26700891], [69895545, 9677165], [47181100, 67417914], [23002054, 75415704], [45335727, 89608001], [77741249, 49130752], [35753844, 63557332], [14017390, 73517332], [64499175, 33491216], [31553873, 175202], [20676699, 27228099], [50418310, 55553220], [14524902, 77843020], [70828660, 88976495], [95739786, 54303968], [79375445, 38452171], [9231869, 67888339], [14980492, 76789581], [51145629, 70075323], [53929940, 92634459], [60946991, 66587497], [64381858, 71820014], [35447266, 17165083], [43947716, 23783707], [99873881, 23754107], [80915017, 75953870], [74075879, 69128396], [28115745, 61322373], [24075061, 44188565], [77547802, 59368465], [4471145, 33540516], [35992314, 88298556], [11721877, 36248342], [82510960, 24297196], [15929738, 45777230], [17016915, 74807999], [44880996, 98827650], [56183819, 8597112], [13114580, 34935502], [92751535, 17162048], [5639657, 95831621], [31923581, 72300852], [15598926, 519391], [984023, 15990035], [36472635, 20238370], [64308257, 92629634], [76805649, 41175975], [85352058, 92156589], [45048609, 7920054], [84876446, 10687004], [81731060, 88546394], [31239445, 92301694], [64190472, 95084658], [73400384, 80198774], [50234086, 58805817], [31923063, 31324767], [39930406, 27537598], [44713548, 24732611], [77691431, 22425041], [50601103, 84449610], [11869053, 3093884], [23071596, 25962462], [66911703, 92327525], [51115059, 11401658], [75962755, 64465388], [57407559, 86660071], [44252556, 6723168], [18501868, 32365489], [39346124, 1506582], [90937517, 65001534], [71343529, 28772109], [37559583, 17791926], [67315637, 64778651], [43538436, 14686487], [42236822, 90606665], [28191775, 36168232], [94237117, 67798524], [81801075, 75557584], [18150734, 39297347], [65243233, 30507976], [50298307, 26861965], [37046400, 19053981], [73175819, 16085601], [67740973, 33693795], [20993254, 94843190], [48123086, 74256255], [39494185, 81157516], [35842794, 7887073], [53217310, 30720460], [47858124, 57090615], [85935147, 55953807], [75482344, 64243852], [942226, 59339166], [38929311, 62824765], [13640768, 52268245], [70425696, 23587283], [5152581, 47995857], [82985151, 56135343], [56584521, 23432826], [41758988, 76040919], [70957054, 19967102], [73130547, 71459548], [50346216, 64995601], [63602172, 81776078], [72864998, 94699228], [44726550, 15568829], [75461366, 87516948], [26890295, 26375635], [6829733, 65016456], [65381395, 96275810], [16971512, 36695715], [41923967, 8574395], [65474970, 89132868], [6933080, 68887502], [31862726, 43700270], [14295134, 18671362], [94702668, 98770450], [44823718, 17836676], [80400437, 84433229], [55146092, 58149255], [92516631, 61463060], [41077723, 81626539], [28005779, 64972717], [72802512, 74891399], [48465620, 21090493], [82537670, 56907181], [36022012, 68839368], [67969292, 58064845], [61871116, 13259332], [67763385, 92061279], [78508761, 84402871], [44521004, 41111000], [46205740, 63256713], [24800533, 34394327], [94655224, 91071744], [5918352, 8228389], [86984071, 51646481], [53155156, 98350862], [52883504, 36147091], [93269288, 30923404], [79474618, 42611244], [2619398, 40468745], [65449230, 40293484], [6140231, 68722894], [18187482, 66097024], [17291566, 45766437], [54986465, 44464583], [17281109, 48215168], [38176645, 61743137], [26654518, 50571301], [70980717, 2896541], [23283263, 88759467], [67185938, 77070266], [30370021, 27478233], [58779008, 33628776], [45747543, 21860673], [9516376, 41407482], [88281529, 17931759], [16995548, 58704355], [56169077, 93494486], [70577114, 29109934], [17632452, 82533852], [13316344, 55737776], [32859087, 18852148], [40316738, 66261389], [35343828, 66626263], [22464469, 35597182], [45478058, 32904601], [53841816, 28835280], [24256675, 14668191], [66997396, 61813524], [37450735, 47527251], [50047318, 93869511], [11382602, 59032625], [93781391, 13209850], [82780052, 88224605], [42471058, 13617338], [50474471, 5042359], [66328874, 7867054], [32799893, 98191762], [93302435, 5068907], [25291241, 68042729], [53927935, 74104405], [70245137, 14100714], [51360896, 20848178], [92046375, 24827204], [89395829, 11499332], [16603654, 58341121], [58160283, 89793960], [4542328, 26378213], [71320285, 57851534], [53494869, 43049088], [33124539, 71292622], [63235080, 34665967], [40436662, 46080014], [55778825, 23617910], [37455989, 13204904], [76690077, 74173976], [92594939, 44673032], [89901589, 19564511], [86568929, 69272536], [43819762, 6499248], [39701468, 89552332], [68039848, 5918656], [21214538, 58456514], [73777472, 31820906], [4543905, 66891057], [65859366, 13366630], [9213271, 94299553], [6190454, 91130333], [30552037, 26239389], [31675406, 45302182], [2300329, 93588126], [39684181, 78923870], [17683653, 54309973], [49342208, 18500587], [17388840, 35049926], [88667030, 21941051], [45781082, 44540403], [72027390, 56804221], [73544058, 2223026], [5775448, 99138473], [85314946, 81308585], [95482932, 80951376], [50771591, 34644446], [14295774, 17231108], [69956535, 37374741], [35911762, 6465023], [3088805, 76465174], [29882447, 99144368], [46471278, 88361766], [96248912, 51151530], [89297023, 26539621], [27914071, 18041254], [86754924, 25472022], [97466923, 28536604], [47513285, 22191008], [19561034, 21002195], [37079288, 93463469], [3266815, 54116115], [47782461, 22057497], [86566388, 94709889], [27971662, 82910900], [77261743, 67419433], [81951799, 37553892], [62915188, 2096686], [52259129, 88233172], [23283209, 10158125], [5210923, 96791969], [22130117, 77225498], [14721282, 45427], [40523250, 29114141], [80252452, 44071609], [95063078, 69897158], [58549485, 12440767], [42288190, 20669358], [22784263, 62517825], [74557777, 91917361], [45182403, 45116815], [19269369, 63616469], [35079246, 58729108], [67017755, 60827494], [36197657, 77317057], [71954605, 59409097], [84984900, 34831984], [76664442, 43847895], [70269807, 31710055], [55807310, 15311592], [41007312, 80020552], [24088472, 14494788], [41940403, 43976635], [49318955, 83192161], [40143384, 28193630], [31651191, 60583114], [59115307, 64749179], [63501048, 3886403], [95961718, 92770749], [87099299, 7354353], [80822553, 91880957], [91221620, 59992470], [5779247, 74209998], [11584212, 32323565], [21547462, 79656999], [94766299, 9736534], [9053371, 78871671], [62715148, 95728762], [63989517, 17337466], [53841187, 36686342], [33374711, 28460658], [1149489, 87836536], [64498845, 65960084], [73266416, 30070374], [49732174, 22708296], [63316114, 45787022], [38191316, 85268692], [65459932, 91997842], [60893309, 63055212], [50611521, 64387688], [45334962, 59244299], [73934991, 8699939], [89423286, 44879966], [82714025, 23844105], [24881295, 51479608], [96317009, 91382581], [62786979, 91035103], [25789612, 30504970], [98216194, 26808797], [40541313, 63541712], [87419227, 74945268], [5546380, 23597891], [63396778, 82984659], [25227426, 43950186], [89725739, 75352281], [60385016, 89254717], [76968046, 10576941], [27192697, 78997693], [4288173, 11305314], [89655778, 38336582], [46153273, 16331006], [32595325, 30419956], [84540334, 56012096], [81605966, 18507647], [39749397, 52822609], [70185305, 77739814], [60437116, 14073729], [44145738, 35692436], [53745669, 26737333], [69101095, 38614896], [3358140, 32448118], [52834120, 38683850], [47091300, 99191045], [42956801, 87971538], [87770895, 32143426], [60499950, 2066225], [84444411, 3440547], [18734665, 47146536], [50648840, 27395511], [23776703, 65679683], [19465187, 7366], [94092425, 48860213], [36277358, 81618025], [99225004, 88396853], [22866333, 62956788], [27808295, 85903159], [70545740, 46217680], [1213292, 52215303], [59513664, 32977770], [49933063, 54570970], [82872553, 15348124], [95878514, 21687061], [77301221, 87819941], [4412569, 90250362], [32301849, 50661323], [94637407, 46446787], [30309765, 58778136], [82952883, 50539485], [48073976, 14731077], [39111066, 61294972], [2098175, 87220583], [92214576, 56003650], [20744270, 27948842], [20004141, 98957583], [73789093, 9428045], [93384058, 28694828], [3664039, 39761758], [14013523, 30327841], [93020974, 46345011], [58939837, 57935295], [19587007, 10356008], [27645435, 25717541], [80120780, 90667931], [32018259, 57683329], [2176419, 43217913], [32364714, 26736095], [2330907, 34435330], [9420291, 40187560], [77477647, 44565573], [85781091, 800019], [8614098, 89580780], [40852618, 12357805], [8042542, 47495015], [79732480, 97439083], [5329897, 62556980], [67630643, 47511528], [81402164, 60907368], [26473655, 59031338], [54190695, 92763941], [83809112, 74381704], [80674581, 39641019], [39223584, 36833955], [92496592, 80267824], [31148549, 75633098], [80760272, 64414698], [22846965, 99290554], [27424559, 5814661], [79917852, 20081493], [8260305, 2204915], [29313849, 58731839], [90439557, 32519565], [14862968, 97075409], [95776101, 81685731], [88146101, 92252643], [33504281, 25757655], [19339874, 7215229], [76502577, 82681662], [71309622, 31540149], [27790361, 77709858], [42537525, 68817854], [70945993, 34701586], [10348074, 57352459], [46305046, 46643536], [28813120, 91174113], [35693421, 13485845], [57449479, 82161616], [21377728, 77915722], [95383224, 81542033], [99497794, 16667637], [4788286, 10542355], [64467637, 67497650], [17661508, 87504104], [88138632, 72565211], [50793749, 2015537], [27506068, 77817873], [83682970, 82279658], [43464002, 35994946], [59754657, 56290528], [57276439, 74864075], [23265381, 93812596], [16340261, 19538424], [90765102, 29419811], [83787399, 47524666], [24094616, 75239135], [3559599, 18695265], [34858853, 59409199], [64610365, 10596146], [63977252, 67840664], [71354120, 72512951], [90326295, 2793342], [84734667, 28975416], [8707271, 14419500], [41721715, 96236356], [80815590, 49091534], [4230015, 82745507], [95294907, 99400920], [24786553, 32932237], [43637025, 51534874], [86831412, 65336400], [73036101, 9865376], [5182629, 98488399], [88867853, 84877243], [27715636, 51692635], [38964435, 50804960], [48151059, 66570354], [41468803, 99726473], [40825181, 34709111], [47091908, 86439801], [40779472, 31734459], [61223228, 47235026], [10577192, 69838182], [6737931, 32415451], [80867284, 4894481], [90370368, 33828804], [80564810, 45606514], [48827552, 15729101], [15709311, 69425484], [21073745, 22312000], [87228476, 49488338], [74636527, 30727147], [54504689, 48465107], [64049272, 61920686], [20322303, 52231072], [4947346, 78522252], [78858512, 69202548], [67767295, 34370833], [4263730, 904725], [46478859, 68989205], [13868812, 38768946], [12926173, 94036234], [77193229, 58813738], [41119062, 60938035], [62110999, 16754716], [30119257, 67483935], [34229414, 50694050], [1330406, 4893553], [46436364, 77331377], [73290201, 12481955], [75871549, 65463100], [41011728, 4248399], [38859620, 31929055], [85955818, 77405718], [20251718, 46410932], [10103691, 43038313], [24283149, 45798442], [84981160, 93545227], [83168609, 28907564], [33815661, 40975441], [29925291, 7082467], [50425021, 45850272], [65524055, 57370621], [10429774, 87697182], [65990951, 767412], [45184509, 37044007], [16740655, 61550556], [50909448, 81580998], [4866070, 12351335], [39955146, 70764819], [49312997, 41254882], [52816089, 61288098], [7981701, 27338410], [56938980, 44674775], [390738, 15456375], [15025868, 14712450], [93708081, 58667054], [81292933, 22528564], [90426474, 23467187], [46286768, 10311404], [76003981, 67661355], [3153337, 61166682], [34948616, 4095104], [33033619, 4917816], [9608357, 13467382], [89911132, 21360898], [52914532, 82748393], [73034239, 31326225], [95941361, 38402762], [56200779, 40682643], [97527611, 7798465], [89068724, 90445079], [41944803, 48924230], [29660629, 91959110], [56181120, 73402038], [92717375, 90109283], [64038088, 24137523], [19448818, 7319699], [49841037, 11051736], [80841729, 43899615], [29735341, 23517185], [28154955, 25783297], [48231385, 72524214], [49564948, 45129228], [92639921, 16447577], [84803143, 3539817], [3510114, 30985305], [82856031, 32195804], [22312106, 50496171], [85370281, 58953877], [70869702, 47324219], [85319278, 12479714], [30103005, 53521817], [53979495, 6118779], [98965907, 54984100], [11887040, 3257130], [92134353, 84909689], [37720897, 68662134], [26050434, 50868053], [68371396, 2450498], [78114686, 45033217], [67724605, 24593340], [49571177, 8996065], [79025631, 66994387], [55209458, 29310449], [84963562, 14709640], [44893257, 58648619], [8361014, 2526758], [15808215, 94133745], [37071561, 54885096], [42519662, 98050892], [53003438, 62860164], [5751784, 66525072], [96906343, 64539569], [98522892, 25923722], [51991322, 13000500], [78977061, 64007620], [57267185, 99029133], [26932418, 60506098], [5379987, 86401588], [89274603, 11826093], [18345685, 29298153], [47938158, 92370809], [84829947, 8045405], [25374994, 35009457], [83562970, 56812005], [67807929, 96405232], [33078275, 27068923], [40722748, 76735796], [11356630, 89291660], [5780126, 39058959], [75016041, 9422678], [94988340, 40968246], [83289774, 93466227], [88903657, 69321827], [82059373, 54554166], [79167135, 99767895], [2282254, 98704954], [2348205, 72707945], [54045814, 21571107], [44366940, 49568202], [71851692, 24073277], [35544289, 50088155], [76921494, 90715510], [15024971, 21693108], [9919580, 3667832], [94670007, 21148388], [67564947, 11829981], [93504933, 88656005], [26331918, 46397842], [79007333, 51320929], [94931828, 75570375], [74337786, 46283420], [5896761, 1827408], [96101345, 36610060], [96264030, 79237585], [61086589, 83116509], [12371489, 85381506], [34453921, 76311995], [11960258, 86939350], [86156406, 13643712], [88671284, 77430963], [31506809, 17015945], [64438700, 33109118], [8346851, 87524734], [3266024, 47324320], [32876641, 64846352], [81692675, 79367769], [44070776, 85066957], [20063577, 57915300], [44042148, 73179173], [95904548, 85564666], [76590531, 41450470], [21848629, 9433090], [54667618, 25489653], [78085521, 80799427], [33090996, 80115356], [2512281, 62321943], [81723571, 20901237], [60060022, 57627979], [18827006, 23478656], [95716715, 46303057], [57018280, 31419291], [68496129, 78699493], [57083004, 79061182], [57622450, 18962623], [79943548, 56789694], [12084415, 83485539], [50036836, 53531180], [1657884, 3808429], [76843087, 41636066], [80797826, 46215900], [380188, 46701910], [38591769, 37658425], [71489910, 37328496], [71195438, 4899782], [19545587, 78824058], [16719355, 5652953], [24912078, 75749815], [60505954, 32582718], [8370250, 13043914], [25907510, 83404934], [57041724, 8842882], [32529722, 30299083], [8499104, 6651890], [86670788, 83560495], [9979882, 23308082], [67241259, 93929088], [52173337, 79088325], [16813055, 61133864], [16578859, 24719954], [38006596, 21065867], [53815032, 25993166], [66502600, 64469161], [32977744, 54143377], [16627711, 8582248], [7341938, 4674920], [7768647, 20095894], [35179413, 24461583], [75292522, 40669258], [92673409, 35962846], [89710043, 87013802], [72268092, 20361654], [4574693, 7912090], [19679845, 63497361], [76569453, 60522407], [22228563, 16091109], [24629061, 11454347], [8802146, 13856668], [10813149, 26678389], [50911060, 48314241], [78619546, 2078733], [44388185, 30938467], [99122071, 1793193], [90421255, 31562234], [49867533, 14770742], [68950369, 76863118], [50831090, 32884822], [75200905, 64750950], [54799720, 82664189], [56677615, 44055574], [93742463, 37280500], [19441361, 82133719], [98129877, 18383635], [3665852, 74710464], [47473166, 76377384], [83986061, 82721074], [54440263, 17033975], [20373863, 55249869], [63295538, 79610687], [92580617, 17041608], [52388193, 53101445], [52344679, 64493346], [38756269, 11210110], [11814857, 97119563], [81100805, 96351235], [45109653, 89565211], [58086103, 19143693], [6279293, 15999073], [41849726, 14822516], [71556094, 33124617], [78901095, 74931254], [55953242, 60379233], [7384166, 41248626], [76892833, 47974835], [65104583, 70772673], [29768633, 30873730], [86626052, 88900097], [23249761, 63152845], [683078, 70759991], [74740470, 8111121], [32278146, 19299387], [99148123, 95556878], [83991083, 80699604], [30514484, 1282703], [97640286, 85786378], [76435964, 47552152], [59046545, 23786620], [21378543, 21902538], [18410818, 20467120], [22149497, 20398946], [60824963, 27413912], [23784590, 22764659], [4984439, 51734543], [57269163, 98176742], [18361625, 44484731], [69466264, 9243402], [80116984, 26579816], [55686723, 88763620], [54579768, 85354123], [40473507, 80311739], [7252901, 94970413], [41281493, 59116296], [78333228, 6010529], [88792911, 89115329], [39498688, 39864052], [29559698, 8101465], [42218899, 82467358], [46279707, 50044639], [4656686, 51769320], [47033674, 9307748], [30524835, 24811871], [89383430, 77672726], [21316023, 30024819], [10918636, 2455259], [22315600, 54413562], [51135959, 17738214], [44441755, 22496201], [92580514, 74878973], [86007711, 91708695], [19207962, 92973692], [39479752, 28675852], [96751234, 81471216], [57099091, 9947357], [99150020, 13808127], [56087874, 30024624], [89968874, 91512116], [43460616, 67017652], [18397109, 94110449], [41059614, 30286244], [61345387, 20688955], [19550355, 71739263], [99908624, 70639107], [98892172, 1661022], [67465214, 27953721], [85680618, 29685760], [87811975, 79992863], [25008269, 96763831], [74968810, 52841088], [42683555, 73628134], [96855404, 62707885], [39805217, 29932186], [99092692, 84311835], [76519839, 21258321], [3266723, 69969675], [95843582, 2081622], [18425277, 77966340], [41883628, 30400675], [44777123, 29566576], [77933668, 37948295], [51040518, 41791967], [87933217, 73101037], [1199978, 23143519], [64892622, 74508977], [53802374, 59945235], [15022435, 76508892], [80550379, 33363978], [93608719, 74109527], [5649234, 81240841], [98278101, 19553090], [48381759, 10255588], [68490979, 63306740], [81644879, 42994607], [31480318, 82328292], [20939241, 21201636], [44465407, 56542092], [75468467, 53866593], [20623636, 67010913], [26077256, 39610230], [97022517, 57260352], [30751511, 57607875], [80473319, 26496343], [50345313, 21654759], [55934013, 9466093], [41438125, 30077549], [80912219, 55554176], [71005063, 6072277], [1584591, 36137355], [1367908, 49442625], [39740271, 6552353], [48025191, 97443644], [92963193, 69847026], [70701315, 9777182], [36841285, 4206056], [79104317, 58293437], [93196584, 11994411], [95356421, 22300351], [34756189, 98223542], [77869741, 34428857], [99868086, 84946753], [16602739, 38879340], [30652061, 79809513], [87712968, 11776381], [38591693, 30580324], [79957249, 9037020], [91777988, 25538005], [35544943, 49226996], [24695900, 74641141], [75452898, 79908091], [62726079, 16470455], [81666390, 75410027], [75981220, 63285421], [2669956, 80490218], [91498165, 93126132], [83256070, 61464326], [66003574, 20698235], [39499028, 8962687], [50883019, 62851631], [26229699, 29916249], [31866473, 79492529], [91724489, 14545254], [8948157, 46196615], [93675276, 93580823], [75783043, 74891466], [47438962, 38093020], [70565445, 5315817], [46627527, 94841004], [55295393, 51952150], [94953990, 79093294], [26761472, 87498592], [78529922, 73224930], [86578795, 25260381], [27842694, 42511734], [26155986, 86984610], [7574275, 59184432], [76667287, 23111989], [75256940, 49736077], [23993232, 88222267], [35365733, 92732126], [62966382, 88888630], [90347800, 21417722], [82419390, 26864802], [27433034, 96023380], [19944653, 76925601], [72232671, 50003124], [21345983, 73652086], [59378441, 68722949], [55288733, 74289104], [14369639, 26220840], [90323135, 90044451], [67565568, 20761163], [83791823, 9126852], [2922048, 88102387], [9155202, 25348389], [46268425, 12671133], [24539963, 89211370], [74119760, 46516322], [39440617, 22961334], [11508258, 67165403], [17471951, 89143405], [13220488, 31532617], [94620402, 63561582], [6498651, 37514005], [86973002, 12071971], [80064193, 63189422], [90828279, 97006595], [27933054, 38914797], [9191153, 69775424], [71790425, 89187653], [16893255, 64928559], [10173647, 53474168], [70705723, 18166949], [48299471, 51565199], [67542560, 16224551], [41841828, 79774031], [81967480, 62350804], [84300810, 64148948], [1494808, 63207306], [31158909, 51082575], [26873088, 98463975], [96258639, 10165516], [61892723, 83003408], [60447426, 84514884], [72766062, 39233336], [48263760, 81736529], [40594030, 46971681], [94406228, 8384212], [97941832, 4992916], [19458097, 37547191], [2504002, 10768609], [7482802, 98760186], [81803932, 30284004], [45049263, 584666], [83586467, 4692880], [18309940, 83439871], [53727763, 80313836], [67701507, 98503654], [49229365, 87109167], [28015697, 77175892], [52064130, 31357476], [559123, 41498548], [21864937, 44486191], [67179738, 84706394], [50185400, 41481292], [95703776, 45874504], [59535205, 46007003], [98439521, 1831888], [30352736, 37245145], [70514004, 97228321], [43146620, 28910532], [89111285, 7275068], [16044500, 33387487], [90891610, 25589186], [57928293, 78095173], [64807920, 16734202], [30068751, 95397764], [77624821, 94635674], [56853597, 71376477], [90885132, 71821030], [31840118, 42766738], [88166161, 8619780], [64746119, 76558483], [2228529, 57190322], [91898112, 46624747], [23982474, 4661087], [90600265, 50275504], [44112605, 35779694], [69919008, 20003423], [10957593, 19450127], [73310828, 16097304], [7462725, 54084853], [35697737, 95918598], [76044022, 32445079], [79493317, 90124191], [11553204, 64222149], [61282180, 31404922], [84549551, 98496819], [36260948, 32917759], [64130060, 6692489], [87349566, 97166827], [68335057, 53246147], [27407795, 7460135], [26671628, 2213904], [78968928, 84505053], [40259820, 57772695], [80129880, 37521007], [15676397, 44005184], [75042339, 75427636], [82491187, 35277538], [62728951, 61371472], [89105767, 15810245], [81200983, 45357829], [16870549, 54782798], [72581354, 92286718], [78632964, 22290742], [79680480, 70889879], [981624, 26246099], [51994713, 24306962], [52751999, 59085873], [23135136, 95846253], [58880472, 32717678], [14122738, 62782476], [15411021, 25772121], [54680934, 51608002], [53550973, 42217263], [96054921, 42346208], [30635353, 53938466], [25947488, 2834264], [3489043, 29975388], [48436919, 39246819], [90087183, 64846125], [65548818, 19769997], [5307539, 42181980], [31498863, 23843], [96541746, 77810004], [77207130, 11770736], [8289677, 2566552], [6644158, 5443904], [57620798, 11875127], [2984425, 59785052], [3276812, 78918032], [74360640, 89994670], [29771570, 54277681], [1933026, 51251384], [43562254, 68091264], [46517589, 69479726], [77504115, 71624208], [25906193, 38792826], [18269299, 29237827], [70333013, 73155168], [40982615, 22324900], [28655420, 26142881], [92232279, 68315277], [75702196, 5875458], [79007128, 94261794], [63160578, 33913625], [16331462, 5919259], [70786473, 69715184], [83951435, 33656838], [61789731, 95073799], [20012063, 98919533], [46699859, 45737823], [20253330, 65187626], [31083233, 13828242], [76999611, 77050205], [29057070, 17467548], [33046235, 8513120], [64997792, 7400893], [61578031, 59427957], [78902689, 80160944], [52138470, 41414746], [36076711, 32633132], [39227629, 39307234], [78110586, 34802929], [1216518, 54213864], [50098323, 67053660], [8633106, 54629132], [76622345, 1523428], [55572905, 1951497], [68393209, 34835063], [15071592, 75530363], [99221577, 57167593], [20960474, 26443021], [25174877, 70767527], [57656977, 1547726], [64259687, 37890530], [34051476, 4377797], [39844132, 93589111], [25062521, 47075079], [79755433, 35642805], [17417837, 32857978], [17275898, 92820292], [14584462, 14317831], [61796978, 87533778], [55766841, 16837825], [88023313, 87443358], [25461587, 47993932], [40374827, 48152239], [84768047, 16936942], [42891236, 20430525], [33545062, 92719424], [80235063, 64117057], [59643997, 34855159], [55192730, 45065187], [79185033, 50812584], [83144027, 21431704], [98420845, 79217354], [49680725, 43311409], [28931562, 68001486], [59923803, 67369893], [95506176, 77204331], [18762545, 33363596], [10955436, 39378125], [96783258, 22917890], [17391805, 61548806], [74569807, 50679086], [95856823, 99321368], [22124144, 13341983], [81891078, 91608715], [9061926, 84833303], [77582655, 88785739], [56007138, 77692772], [33686238, 98140309], [86974168, 85920179], [97506538, 42105185], [12713430, 4731323], [74384387, 49814516], [62809592, 44549134], [71482796, 44900562], [84656686, 84583552], [52947008, 93218837], [31616891, 73495553], [61081781, 1106349], [83678230, 48763897], [56979749, 72047141], [97202804, 47251525], [50374213, 76300858], [11343964, 62348597], [4995294, 10366377], [67246966, 17510161], [43686725, 13335298], [82418673, 51474887], [42995107, 43786935], [80624482, 68083796], [10471349, 8929557], [29701840, 86048339], [27974158, 90255523], [80020963, 2120608], [89267288, 27466093], [22729301, 35181988], [79569794, 17218329], [85815703, 83344716], [48025768, 12559609], [95868996, 71708784], [74688558, 91553391], [48816860, 91199230], [33736587, 55824815], [94100128, 35152495], [56196417, 24623683], [64664893, 84828257], [76443929, 28944683], [2930893, 78249586], [85010672, 26857812], [75259028, 11437497], [691531, 36488587], [18027861, 27068279], [52142952, 92896550], [92253965, 97730121], [30203042, 46582858], [13209859, 91141702], [57625956, 48315590], [21310877, 43685944], [19743216, 70202093], [38447938, 72193436], [26931647, 83297450], [16370904, 19590464], [14587329, 38664624], [78990914, 34556993], [93812038, 67646566], [80959838, 77538577], [13482160, 2999430], [84139994, 55947373], [99967500, 4969541], [10954069, 91992616], [76953216, 70171522], [33755364, 17286376], [61587920, 6597591], [26412053, 72802304], [87304523, 36333918], [15874537, 21444358], [55180149, 59047941], [69148500, 66981341], [5436967, 56740467], [99380578, 77512715], [78707161, 63690541], [80590730, 41249318], [85860574, 67958051], [17578345, 75221887], [10892957, 22708703], [29853070, 9357453], [70064575, 93173200], [23442657, 83716237], [86993079, 43597590], [20907259, 29364351], [48963855, 84760643], [13472789, 72844431], [93539372, 78718948], [45361006, 10487932], [20769053, 4916778], [78721632, 16797476], [4749411, 65373146], [24860291, 39925400], [5790166, 20562182], [84276653, 71698498], [43682248, 50514686], [92607556, 17202552], [47175023, 41390621], [31539929, 70561621], [64772824, 89289565], [1701379, 75237966], [85814325, 78092095], [93630443, 20333529], [15347512, 64204564], [34893534, 71457526], [31727000, 94486573], [56248322, 47456074], [70073685, 90563125], [48067533, 44601902], [87889949, 48839747], [48450746, 91615387], [76458498, 18535085], [93453668, 14796191], [6536777, 32343651], [16603588, 64760593], [62741959, 66510308], [6505990, 86855321], [31514129, 24016853], [95599066, 39518105], [44438929, 95125598], [36108572, 95364738], [57249945, 38349491], [48188211, 9128362], [16248841, 50265924], [64036438, 27394150], [93292638, 96233403], [75113034, 9087664], [36088777, 198581], [30954315, 78004179], [79590112, 3051374], [80078051, 87525450], [3133956, 87661688], [36650717, 19178536], [89729731, 50995443], [54315201, 49794892], [50991823, 45020637], [73449866, 84699300], [41699313, 38004006], [21388068, 56104246], [90418449, 19974690], [14674566, 53516293], [48199539, 32399047], [36651043, 99706703], [73150708, 51844611], [15080139, 96831333], [50406723, 17975420], [71613533, 46284870], [98226962, 46766276], [80404993, 30046158], [37286561, 52882487], [40334851, 5630601], [75240529, 54374901], [78960005, 56069879], [85340445, 6870174], [45618778, 34126930], [60310749, 98997848], [71965367, 49340863], [80819491, 41391008], [70307442, 75719015], [53250326, 62000768], [21024700, 25199862], [1540001, 23862065], [44413985, 12243681], [44665415, 93529306], [99236280, 43058152], [855692, 6444226], [54644113, 11218993], [54014377, 57022153], [93400360, 65483496], [40199148, 16216557], [37240275, 67740475], [80544891, 99077393], [76107112, 15151306], [57955338, 39942737], [97912682, 32338707], [39087912, 70071348], [52773981, 78227622], [8557599, 74395191], [68112176, 12423165], [99422637, 31111516], [52445789, 2865894], [78301037, 92136139], [80540952, 97287529], [35106354, 90910291], [8688667, 48259847], [92722056, 1803722], [12298635, 31867196], [99238742, 4521611], [22274424, 52191700], [74251256, 10734450], [77274527, 54016649], [78602420, 57469203], [26571516, 725582], [5301918, 71200492], [61025185, 29632467], [29129174, 58455361], [56287728, 65092090], [647775, 11517575], [11549405, 4145504], [38635921, 71535351], [6672338, 5705863], [87213588, 32721909], [89882457, 65416222], [10255603, 32579630], [74758070, 44318342], [71677745, 60831266], [36082689, 6331178], [52757404, 29883034], [50392334, 61602688], [49396881, 31792893], [49256529, 37431694], [66958011, 38227540], [22461938, 28682009], [79407971, 91345053], [38199851, 29220908], [959219, 54081195], [8385267, 7672202], [80594362, 34163266], [74330744, 61573579], [11261039, 20585328], [19256027, 86631491], [5564860, 95991080], [77332963, 45490648], [42574884, 93403502], [1635368, 43118373], [48681532, 75964582], [98178363, 72314979], [12318599, 59623480], [9128772, 46490271], [35312804, 78236830], [13980209, 10541333], [36300819, 74400089], [96490902, 62450142], [88409240, 85847098], [14444226, 33885170], [69611064, 90611306], [9768634, 58468863], [16804846, 93998333], [22543854, 55780324], [792242, 12057727], [71394238, 13913692], [98883600, 7337691], [33918127, 18782476], [41935168, 84143497], [22246134, 9899406], [91971284, 24376436], [37623802, 70805079], [66198070, 28418955], [95749730, 57237618], [65813960, 95160613], [87921256, 88793367], [52294288, 66013724], [5014360, 38674123], [26097084, 16305337], [59819418, 48003902], [33646309, 22864579], [16766776, 27393437], [12322907, 7052968], [21470117, 69755893], [33422388, 5656563], [82722198, 60912852], [24481541, 57862572], [94845080, 52477652], [21093268, 12392063], [6398750, 25999250], [50763127, 54834244], [67396857, 50310222], [98548298, 21476580], [23629177, 97734740], [36884156, 78489653], [54987367, 23452661], [62239969, 7615715], [20680706, 43081361], [26363695, 54942469], [28149273, 44746349], [63502779, 44481906], [40457304, 8909676], [72191784, 21932089], [13744964, 12856108], [62679711, 90092907], [88850593, 2323640], [78854306, 6934555], [96910769, 26166615], [84762436, 14555675], [51125721, 99711665], [37070544, 45716129], [39938669, 91231374], [73563436, 43316229], [55224819, 7076719], [54889354, 8978751], [11047062, 7375081], [32563940, 55564927], [74577665, 43246916], [11966692, 41133028], [48570469, 99483757], [57840860, 19792384], [60456127, 97779482], [63635798, 87850680], [44766118, 72718971], [72539760, 96052251], [45322668, 96745479], [70241800, 62628384], [1972904, 71918384], [23772488, 96609506], [63886892, 18458863], [82026690, 67612213], [23368777, 47954501], [96546670, 38318326], [35083350, 22403202], [41631213, 61066592], [58961285, 57957059], [93492292, 68207745], [45560546, 37637567], [69658595, 64241974], [67821875, 41962551], [77739560, 58076710], [20851973, 98666382], [36035170, 41202429], [31480752, 53027634], [30547445, 6316370], [22506937, 4602633], [32121918, 22497048], [37993162, 21813930], [7178351, 31567627], [8180310, 92468364], [54625807, 51198396], [11938582, 63815561], [98381418, 85629442], [12195815, 1447870], [29056939, 18514579], [96642264, 78527275], [91060276, 38389463], [49062589, 39708856], [53934245, 11146437], [11254698, 4237299], [95127775, 97103170], [73500348, 29172742], [45097139, 50666347], [81628825, 23233063], [43219968, 27645136], [38112730, 78644912], [61928532, 61227677], [85173029, 14333049], [51842395, 67474160], [24001133, 49758491], [59071321, 57383561], [28128679, 53658203], [842733, 66187200], [40455644, 62699298], [71765399, 70379859], [86412325, 76280193], [84022990, 67263044], [62694052, 56234883], [80195884, 11504281], [30968846, 21648294], [63166084, 62414696], [70775415, 92645121], [47928523, 19510962], [1595530, 8737205], [66579231, 97342076], [90377195, 41374020], [67421459, 88587032], [4724854, 98312154], [27044851, 2979998], [85129563, 26019005], [29225140, 73292160], [56188847, 84206402], [35875829, 83888590], [59301872, 84083639], [55554268, 90783269], [39092054, 93390904], [28483310, 40407869], [23840176, 81331828], [54475704, 80277879], [41904778, 94664435], [36385596, 17225018], [46345136, 78877558], [87771850, 92460797], [70716870, 16687184], [7146276, 19120884], [4534156, 59331731], [26880573, 62137152], [57145741, 85921997], [36100057, 89344693], [95656986, 27007724], [34967540, 46732749], [6269060, 19928297], [10703891, 18621834], [3116092, 22888807], [99807115, 53711228], [58347223, 68590917], [90579300, 79187250], [10079284, 48861545], [31673526, 9949247], [36786154, 41586883], [82238664, 54582966], [43249947, 24839058], [91308906, 47415895], [31818773, 86794627], [27525503, 33800634], [71266423, 64407095], [11621775, 91954613], [60057917, 9467318], [75153356, 18847418], [56341449, 40109857], [99003629, 66696811], [21030999, 63672169], [16004580, 45978636], [584065, 63168988], [25194093, 69324597], [94316817, 51705014], [37300439, 30070055], [5283291, 41626092], [51547287, 24962437], [45602866, 90825134], [51184273, 58153958], [13013201, 95758108], [47972063, 34157066], [16488025, 54148002], [44408166, 73411282], [27328872, 82696467], [2741211, 77672056], [17928977, 59345224], [47016843, 81086303], [11258136, 51286939], [57125898, 59107164], [311192, 96495779], [6710749, 37623059], [98478509, 45476190], [69855011, 38789795], [40878055, 88198784], [37386674, 81883260], [83391633, 56599423], [38484298, 74397310], [60247816, 77773042], [8439906, 70349795], [60806348, 35414904], [93339769, 8108518], [77553264, 5249091], [75577188, 34348714], [13001929, 78688180], [82309062, 34772632], [88471572, 66525514], [71318487, 97863600], [80499929, 17566330], [79691172, 46061155], [60761646, 65566639], [58116913, 99614640], [57434227, 56004422], [37976363, 40552253], [97623971, 40237686], [27963089, 90003785], [63452438, 90261722], [43608865, 76202034], [23637132, 22729819], [20316679, 23652030], [31097349, 36083553], [50116809, 40512643], [33608188, 66417428], [23068290, 64813015], [43248999, 10883632], [32055097, 69886039], [46333292, 48753803], [57695331, 33368912], [67824610, 95406729], [91976482, 49725032], [3519415, 98167998], [6119109, 3848556], [36069001, 64300802], [44265089, 24331724], [47231708, 77970612], [13235757, 59618926], [27474125, 62953806], [66257715, 78182919], [63233743, 6606208], [79809714, 41128208], [76444372, 39259370], [93760642, 70088994], [40719223, 92379690], [72996911, 42219572], [41763098, 84575663], [90017609, 57835786], [35582894, 46581238], [94435577, 39302973], [39438796, 73596655], [36761579, 60063479], [87075217, 81712529], [5754484, 44961564], [40001025, 12407938], [15565553, 59194789], [18853054, 55441682], [29564185, 87028093], [81676984, 24826948], [99867893, 64482072], [66084896, 26650577], [93125995, 31644275], [20757459, 92241397], [18049942, 34227688], [28930620, 55889382], [92727991, 66716124], [95302424, 87575228], [62706439, 24931645], [89445161, 47123862], [64544624, 79135263], [48943113, 28870274], [47802295, 72814148], [58921580, 20959010], [55700089, 15723226], [32308914, 39180376], [12736689, 73083973], [14177006, 16117093], [68883834, 64411088], [81773642, 45020525], [40445931, 91099742], [79521736, 80335469], [55608302, 67470715], [52509964, 35417935], [27111729, 73203346], [78251830, 45559440], [43047811, 29174026], [64295979, 64664147], [51202253, 62957974], [53231834, 98061572], [72456977, 35080696], [20923003, 37801299], [3338704, 31495160], [70714796, 34870203], [70351495, 99857126], [19163005, 14814953], [3623929, 75231204], [45517370, 8693658], [6190206, 6692679], [16771936, 99397270], [20006623, 37876685], [29544654, 27129283], [99635387, 44253207], [70747269, 79830082], [73577896, 87187677], [94233166, 24499274], [56410139, 61560648], [39974175, 6385950], [97439297, 89038619], [36160058, 92435586], [49437231, 1216952], [35451238, 97268263], [95591210, 44332768], [32735837, 59889973], [17195028, 29040578], [98434661, 48211715], [95626790, 72088474], [52959876, 33881675], [71232709, 91298783], [42782365, 52658841], [61777128, 97980739], [37845790, 84029166], [92113673, 9388233], [13037675, 8494458], [20018607, 84686556], [39735587, 77645933], [82692357, 76829004], [47271080, 88112254], [25562074, 3083527], [55173286, 2118091], [90727976, 83565159], [51168408, 27245301], [2556403, 25409724], [5046394, 96158733], [90253820, 99325867], [81761742, 17051833], [80476624, 32870771], [97256237, 3938909], [25133456, 19274662], [26909180, 43409416], [66997898, 99210603], [83336794, 23678887], [61473504, 40498698], [33620997, 31784100], [65021550, 40062303], [33837262, 3739340], [49462442, 38524922], [65221351, 92785881], [64853644, 17829795], [50993252, 85060878], [96243264, 77067109], [52920818, 42963809], [60233000, 21700434], [60587559, 32821890], [78140265, 7501720], [49894794, 78698097], [45658786, 86345185], [54555975, 34480614], [93110198, 84481662], [13583929, 48023274], [22754148, 44911848], [49762592, 58411497], [72343737, 26353975], [82998842, 14512335], [44810461, 30988793], [85853497, 42405810], [55940058, 58055262], [62605194, 98750332], [91308697, 85028], [68466060, 76906702], [483401, 94463404], [42697525, 17748311], [84917459, 98504616], [53082984, 68861638], [99488688, 41369744], [27337152, 50577441], [4390624, 18298068], [42025283, 76109986], [52592023, 5648558], [3876603, 73841260], [71318815, 79750338], [38091470, 7196051], [2680659, 45695523], [1973566, 98465877], [28932706, 42959429], [27917138, 14150059], [97313630, 29250080], [59117626, 8336869], [64185841, 26497416], [55635735, 30471428], [32497186, 18395049], [22950803, 66782190], [21072072, 17442804], [62616529, 86398566], [80409780, 54037773], [21603647, 57000303], [30572734, 37748232], [49507703, 94940838], [73916064, 27455203], [90225803, 48665196], [77782069, 87573071], [69265858, 23889609], [94869871, 69650730], [97241118, 67714491], [32545347, 63594838], [30015345, 58312227], [24282129, 54842711], [49587763, 37545180], [99674694, 53300794], [69955123, 69605892], [53440829, 81071645], [15219336, 75610302], [32246942, 1143117], [91178950, 19274809], [35482167, 47817737], [88313863, 85533513], [57891460, 52678746], [48473557, 75554872], [28220635, 27581503], [9895572, 45134455], [67977878, 54820653], [1802899, 97200967], [93650076, 94351614], [32825668, 95596251], [89919967, 98634682], [21413096, 27677552], [22197785, 8810189], [52815514, 16735908], [90748164, 84569087], [73451030, 88418494], [57541624, 58337937], [21481603, 38208054], [72726251, 92030940], [32958040, 17450651], [23680101, 38000970], [86685607, 81732011], [3409929, 39342230], [66909834, 77463990], [22285767, 83734654], [19533612, 53876595], [38227908, 43879775], [27647095, 36098343], [88979097, 94277148], [3895947, 17656500], [39278935, 70408617], [51897599, 64111752], [26690427, 65992998], [74352333, 44438329], [74053719, 97417808], [18232872, 6140234], [65513552, 54542816], [25478644, 84462462], [5835362, 87657553], [43603121, 58812481], [76719128, 12674957], [19260639, 31721864], [97686251, 34062165], [83307936, 34529005], [75495744, 99394901], [59600792, 52733489], [30059846, 89822634], [36725292, 44717416], [35726965, 66522327], [51025460, 84044152], [81874888, 68886429], [43521684, 38980406], [40149638, 99637213], [31734669, 50868941], [25448394, 20056159], [1299640, 39087935], [57243679, 7106512], [27706104, 95511663], [87431558, 52503537], [24187256, 74519508], [71750069, 81207758], [82343890, 83927674], [12849867, 84258363], [83512522, 57402674], [92031511, 42515124], [95197003, 31562488], [10630561, 42184254], [38418003, 72096293], [59071606, 53703538], [45112471, 88384034], [76493898, 44481981], [51283914, 10440121], [77706341, 17977745], [76467245, 45200253], [82516742, 9421689], [54374733, 98177284], [83503447, 3764770], [76122330, 60414247], [57517320, 29226601], [31969899, 67324345], [99389265, 64757157], [36148131, 77368934], [84918845, 64310167], [38513816, 85570713], [90613576, 56117255], [1416251, 50500709], [20796498, 30126741], [91437320, 37825201], [85103294, 48847354], [66229367, 52787784], [68565872, 78959677], [55307485, 19306951], [7054124, 71129755], [98066643, 81942601], [38238418, 70683136], [72929098, 63317064], [3440451, 5016852], [1613043, 80970621], [68646348, 46376875], [53401828, 29408998], [20705941, 94215815], [32687334, 87966257], [59767156, 89664594], [68974756, 9787895], [55807540, 90094591], [66370939, 67174768], [4833050, 27046393], [14170983, 5591], [93051193, 37141620], [87497384, 62691145], [96771069, 92928440], [62897024, 54021037], [44580021, 41608772], [34946581, 67258701], [23816891, 58716388], [92146642, 3744929], [3173835, 9543583], [3283547, 47512848], [22534779, 43954418], [5411661, 84413727], [29444810, 63994221], [80158424, 59229852], [34635412, 54897176], [30109838, 31788756], [34624300, 33137578], [51574155, 62785152], [52838875, 21777908], [35315909, 20724938], [44408708, 96054598], [77777897, 48904765], [67335357, 92560420], [32118275, 82547067], [17206111, 37576062], [54351321, 82256432], [98955033, 31625945], [93598835, 90665048], [52479309, 14811732], [21070212, 64730814], [8639033, 50894791], [95556897, 10658789], [11628114, 37090476], [16415231, 39172885], [38488016, 19533288], [14836772, 90186803], [93751529, 73631128], [496419, 11535341], [22550386, 61796126], [45437564, 98488138], [80386064, 57495326], [32449657, 21419447], [13281527, 81128665], [59547401, 79558099], [97829883, 88163602], [90761886, 53743959], [25289457, 31440596], [60646792, 79309421], [60738270, 66125622], [71230139, 65663107], [90858203, 73965411], [94439830, 15229210], [72334277, 91314174], [55996586, 64517337], [22947297, 55450001], [77129357, 21234670], [59367363, 35840040], [72162608, 11211473], [29347894, 6261253], [30916504, 38549936], [5432717, 27001118], [15045675, 95611146], [42850628, 75413994], [67765916, 32248506], [68565490, 27394055], [34671768, 49026988], [17603768, 66986583], [93231283, 33464361], [31247836, 69608618], [25556644, 51213169], [12301807, 12892058], [84215838, 10624595], [83319006, 68973270], [34368196, 4386740], [80001697, 90240988], [36924843, 24024275], [11688981, 85653437], [4048846, 77028740], [80998567, 90793744], [56508149, 93668888], [62169331, 19954137], [67938924, 24447069], [86380592, 14111412], [72837742, 57102000], [6111483, 38392865], [81225596, 31545422], [49941199, 66745514], [71119309, 83488860], [80672311, 36970716], [40789669, 21444279], [19013118, 56557869], [31968445, 37642985], [9914666, 35382362], [60387945, 88089485], [54064526, 58086686], [83129985, 37804221], [60969325, 37720979], [44633969, 17106618], [66087392, 11858069], [36959679, 42982348], [24599866, 3507032], [27222962, 67309066], [69623746, 93500854], [32645660, 82166403], [77648040, 33932763], [39425757, 1086403], [73645406, 87525368], [71117311, 60488882], [10859555, 17056395], [58848452, 77616746], [7377375, 98244534], [92831500, 23073103], [85164262, 76210744], [92499150, 98460675], [89120218, 80587356], [21213199, 75053894], [1181818, 76913927], [39180338, 78265235], [9615430, 75707751], [56920392, 83031125], [19642887, 56283715], [2998515, 96445104], [13649795, 68817301], [98742108, 87707595], [77455809, 29674476], [43570459, 78872229], [8140048, 19137730], [69000283, 15175159], [31960769, 48880558], [80438457, 19174939], [25327572, 80683593], [41902909, 44066648], [20112701, 56114950], [11481965, 12563721], [42284583, 3915111], [65423983, 4997637], [61015204, 50688481], [90742447, 11649374], [78355196, 85345363], [56983675, 40118773], [67203636, 77700643], [57848246, 42086343], [99958745, 47404504], [11214378, 1218317], [27203873, 19876180], [13732889, 2693835], [13539861, 88986767], [96814114, 28991610], [25441714, 44496950], [46947415, 10921539], [51329197, 81174876], [92882562, 83081436], [726587, 31771904], [34350276, 6411521], [40792037, 9052579], [7920799, 30342454], [45401552, 21189521], [98907386, 15727432], [2836192, 87414751], [62232510, 75878590], [23367242, 88261217], [58928403, 74587178], [19276274, 63929815], [97855649, 93801775], [45314597, 3902920], [91222530, 13622453], [73678294, 34710318], [74992678, 17629451], [62884931, 99463511], [67844447, 85555838], [46806332, 85267111], [675099, 9516572], [26906687, 33912636], [16555221, 55896651], [63919989, 56921341], [64602651, 16596043], [14145320, 2006121], [58342780, 37248786], [99334488, 72025909], [63104334, 57459240], [85314040, 75823257], [51199802, 29509029], [29013689, 84719446], [56298654, 43132125], [40544479, 60553205], [49873201, 11099612], [58316156, 3423414], [6202481, 23541093], [75884394, 21023995], [60342804, 8315409], [23326156, 93108291], [42252335, 12017617], [90857781, 58491458], [20133672, 8644405], [97696645, 58625497], [6042700, 54007439], [57102569, 81266293], [63022310, 16149308], [10116916, 64462889], [44136473, 33207377], [12152671, 66397817], [2225040, 84784307], [49956526, 77122266], [36587731, 4926001], [9008162, 39125018], [22070956, 58950300], [94510615, 36933665], [8918145, 78640211], [73273205, 1570060], [15470012, 92277646], [76360556, 96194217], [78412495, 36844354], [21785674, 40430718], [48476214, 10756298], [52713230, 56692315], [12189522, 21025790], [14443898, 71371183], [81655651, 34171222], [6491746, 94478717], [90071026, 38676955], [57665685, 24729884], [3596780, 68332144], [11509599, 27888985], [32065468, 43880739], [79442406, 10531180], [2564401, 55913799], [81386394, 87779922], [84506575, 1726082], [93667169, 19763538], [63389592, 15298183], [53843639, 41052326], [60310080, 58573213], [36791007, 59181071], [95457267, 74834135], [75792672, 59477099], [92101050, 59796204], [63332499, 50480941], [271368, 92038157], [82209619, 46532480], [11155883, 65796624], [48755499, 69701706], [89405658, 44859876], [45499306, 3829077], [99699423, 11234495], [15030920, 49613987], [48226257, 61570814], [30222663, 19967402], [42904677, 43783759], [76828737, 68758822], [52520933, 65056844], [768330, 6490863], [91697788, 408587], [82630722, 78962110], [97436874, 94642767], [552002, 83350369], [4981090, 80709005], [59946012, 95154255], [24284367, 68187857], [10493030, 78782703], [76197305, 88419397], [90286082, 8537713], [34484048, 35450357], [3851309, 63362144], [27852016, 72945626], [79043910, 93890504], [42912155, 50306663], [84988252, 1805632], [37727832, 30140662], [7711863, 23887406], [94236534, 53541397], [38761996, 8915803], [87412237, 53680689], [46561639, 37655578], [37862377, 64622542], [32016666, 67649266], [4753098, 16283346], [12129509, 65854964], [3771027, 35591084], [57658338, 5236276], [68791754, 58454945], [72801140, 58549994], [68113182, 93101504], [71980474, 86270424], [96062327, 96714836], [8884811, 42309279], [41380591, 64130759], [85988135, 21990134], [29336619, 26488788], [36868490, 57100325], [89371166, 47468380], [18316919, 58294535], [93192089, 68983371], [66055709, 98500213], [35932707, 48073443], [72830157, 4683744], [10922157, 28550055], [67928560, 78962826], [30033800, 36539172], [98724517, 90054826], [94561416, 80354909], [45726135, 68498297], [69527752, 37237850], [13845914, 20984386], [91981685, 55005456], [75662142, 78684507], [57130510, 98848763], [98906333, 14726719], [79549939, 60105038], [21639532, 9898495], [47253114, 77851716], [47219889, 20702139], [37245180, 47700500], [58183717, 1242313], [99514606, 35125344], [57472517, 28372784], [5838511, 296571], [17822021, 29724209], [94670245, 61982974], [95838913, 48401170], [45709337, 52494629], [9438813, 48764175], [78047929, 19939727], [98922903, 85633287], [14789959, 77123877], [25667225, 97206263], [49672798, 50000232], [1258648, 53563533], [79935851, 11405292], [31302442, 17396258], [56020694, 1651931], [98773600, 54670896], [75681464, 62040545], [82873039, 97249205], [85025944, 22109502], [74485664, 73490342], [39488665, 31611677], [48119629, 41152641], [16523095, 72222961], [76546776, 29767758], [84267575, 77544605], [85516444, 2906562], [22284024, 53886992], [16437606, 5747666], [63237233, 13353676], [57872649, 20209059], [32718635, 61936394], [47859420, 2460220], [3515540, 4915423], [93232029, 53937660], [52405264, 63286447], [30750870, 91648186], [44958486, 10384236], [27276686, 81356473], [56492026, 12746502], [92019172, 28570221], [60305603, 22881589], [47382475, 43341838], [67421573, 22928645], [44794578, 70407968], [13606094, 14417617], [40556751, 70417898], [53449223, 83855653], [69914708, 72283954], [49261229, 20010316], [42809353, 61917453], [18507214, 55980477], [94816161, 42803523], [98811319, 87986214], [52976319, 67359998], [1465906, 42847649], [12454705, 61738770], [48537730, 32035099], [97569229, 7998248], [48091977, 82635042], [50760520, 85700170], [17478672, 61771920], [32505745, 59052480], [99115215, 56489270], [7993400, 48741073], [4928159, 6409821], [44075022, 64975516], [12344693, 8231315], [28415854, 62728054], [33461420, 66699730], [24433788, 59226690], [36560540, 70000402], [43059004, 39842960], [52978457, 48542574], [22508140, 39040473], [55196819, 18704832], [89686016, 79405392], [48797653, 79298054], [56865989, 2501105], [99486905, 4717401], [48584979, 56742488], [71594995, 8330683], [77874494, 35577885], [53179792, 14988228], [18335430, 25664290], [83730001, 82199185], [92964266, 7553980], [11945228, 75094314], [37331958, 88893048], [48955627, 45926498], [2996775, 84207995], [15494014, 64221736], [78606742, 9208305], [72249348, 96801799], [58073330, 17440907], [41423587, 89083689], [99509954, 7529884], [23051940, 58157808], [3384390, 44566984], [68869284, 41303618], [82732540, 33034811], [54393239, 80250590], [83827106, 55679277], [1345495, 56917395], [33580518, 25853436], [81728715, 76773602], [45185262, 73182536], [55111583, 26828558], [13147508, 44215616], [22260024, 94321135], [25857633, 5233306], [20610989, 64701903], [59118303, 48608666], [37255092, 46179209], [11803578, 19563953], [19393764, 65064091], [68563139, 31170055], [65493643, 92888301], [18503310, 92820634], [9552122, 85608074], [79439560, 11206614], [4781667, 11362460], [48278658, 44745148], [53540621, 39618259], [63827923, 12467731], [96588029, 44916434], [75628198, 96821214], [10551565, 24418838], [9255176, 7517019], [63500678, 35473883], [35525567, 88223790], [88312937, 50078733], [50325877, 36047206], [56487768, 20160822], [92603489, 16234575], [37532731, 610338], [51048241, 3651690], [69675644, 38016294], [31706738, 26066111], [8683396, 75083277], [85532072, 18312026], [91133158, 36136527], [83968702, 24807270], [40045486, 59612252], [15702736, 63019769], [2676518, 22932076], [18935005, 26305331], [5808356, 5066788], [25982557, 15215521], [5592093, 36878156], [94107831, 73310748], [20588481, 61126916], [62476044, 86129013], [35370967, 3107883], [31931222, 78044894], [22987809, 4188663], [83163147, 98624476], [81535065, 70486218], [36399764, 47802590], [45032700, 51869644], [32703671, 59976128], [60030953, 44343779], [29235921, 36715314], [31310835, 64666242], [38385490, 90307069], [43882272, 47136382], [33593328, 9713950], [16201604, 29488834], [62455777, 89182511], [6308219, 75817955], [86826344, 69715385], [93055902, 98237428], [77950183, 35666741], [17395723, 8438575], [25130477, 34833533], [12642809, 94198279], [47208106, 41176703], [92527387, 46108210], [23882775, 6954663], [53274103, 52302213], [1605788, 44698097], [92365639, 16798786], [41011198, 66490020], [84244108, 39088250], [22858392, 41789563], [58133508, 85836637], [14827745, 33611506], [71369794, 9620868], [46194928, 52014748], [23990781, 18921810], [99145667, 89084873], [13419557, 65554343], [35706091, 50902322], [15634808, 80586584], [66198358, 51826668], [22932281, 63898578], [75271490, 10928675], [97317754, 82326197], [18947564, 6725635], [34342977, 40392893], [46607128, 69181586], [31754810, 32454499], [90184158, 38885081], [65478136, 25069299], [67719346, 27663181], [48944393, 72471458], [59774388, 47545451], [93350729, 42066097], [13522636, 18551627], [82388649, 2416701], [89616627, 74981019], [69420227, 94284450], [76357347, 68333938], [35059390, 77505570], [70610596, 70795575], [36350131, 34439272], [33167265, 71998246], [67091132, 76240410], [24796449, 72578403], [50028533, 40894286], [12725817, 24116123], [62097955, 39317276], [84722240, 17473885], [97519971, 43542231], [403191, 22528965], [87877388, 7018524], [54046733, 91591578], [27178588, 80920901], [25090967, 21468823], [63898575, 71000302], [72986058, 55454431], [35091839, 51487347], [14232889, 37239865], [760698, 54903189], [3837814, 99271773], [76864612, 12582783], [17219290, 79669153], [68706079, 39430105], [82613313, 27247954], [10304902, 1296180], [17999081, 10783], [44575, 11771175], [80814955, 27911522], [69301404, 68857579], [68890044, 92556115], [51189569, 98703793], [71306317, 44834786], [25662014, 13063858], [99512518, 99683816], [58934657, 15588188], [38884517, 72813601], [5486832, 79429269], [33281032, 26874826], [84349762, 43022807], [46634950, 77278778], [7260137, 91871509], [30698186, 7222762], [65217305, 74382024], [58783878, 43275967], [13920887, 17989323], [9633, 96819297], [83131145, 62296822], [79064871, 65850005], [54295009, 6702958], [58532693, 51757229], [61757508, 9360961], [25300546, 23404998], [84976118, 35195018], [8176086, 96693993], [24988223, 55252179], [3537060, 69020179], [21522822, 97777531], [31395998, 14658178], [7026413, 75788387], [95095596, 66121252], [11348029, 73898764], [8277117, 17789377], [18611224, 38477246], [96739181, 56368506], [14694573, 74165837], [25640447, 49997266], [59977109, 22004791], [27786285, 67622152], [79426469, 51582854], [62372717, 17229721], [74735720, 72755395], [83821030, 60075352], [94651477, 9028697], [26724846, 5646470], [13617596, 24476580], [73077604, 95651920], [46891390, 71586462], [17471829, 27449421], [70873478, 49076060], [10370754, 97391879], [98496882, 10455795], [25649276, 18952926], [89494757, 6559271], [82173640, 3520790], [5497222, 54782392], [19031311, 64754727], [31014202, 17679870], [11368835, 2062697], [45956540, 57289674], [65007383, 80046607], [21712479, 90954442], [63914886, 85295811], [19672499, 48040224], [34826423, 46264107], [4760311, 81996341], [17624076, 10601003], [63756597, 49981022], [40837319, 18381341], [940851, 80409088], [14101239, 24379925], [55293953, 65101743], [81368321, 9727634], [90811105, 29815565], [44548768, 7411553], [82041925, 1630091], [88424251, 6759414], [92920843, 85725914], [56101073, 55713742], [90057660, 77253259], [79647197, 61003228], [53376084, 10546304], [87235858, 56198414], [76195798, 46149860], [42401935, 89115130], [18233474, 35972232], [59502874, 37027527], [50696545, 64939750], [1411347, 39182318], [13219912, 87266279], [56224238, 82454846], [76045622, 4434127], [71527218, 97678866], [87691921, 60614710], [79412157, 99681259], [85772958, 56299831], [40152516, 10075415], [52878419, 83134499], [27962530, 11160523], [19266380, 97940834], [90645242, 66036093], [72500995, 26529149], [21903216, 83649757], [8858319, 22922658], [78057087, 17549461], [77362562, 31568833], [23256982, 88993970], [94711187, 48003377], [4945590, 33216367], [42297450, 72172774], [29658482, 86374976], [91575423, 58672412], [10076522, 23202980], [43406132, 94918346], [44674135, 94988856], [41819898, 4090256], [32380221, 9052172], [55098428, 43704973], [37933650, 52196489], [49824862, 47083721], [98069391, 81084839], [48107343, 18400250], [4506991, 89020858], [11125082, 40396835], [87334383, 17297363], [61408600, 82097233], [9780834, 50512254], [6299015, 79464989], [24788585, 94907529], [31977751, 77809349], [14406931, 42779737], [26855960, 49514135], [57251997, 73213295], [3866933, 62334216], [55258742, 99403258], [45426232, 44468568], [30592408, 66947453], [93835774, 3158300], [82785773, 8753588], [11685043, 58603594], [18762424, 19286740], [88998399, 83125001], [54164379, 86348748], [98063685, 78433645], [16250083, 15188688], [85205320, 65472172], [91977410, 94590858], [65071610, 4591176], [57664987, 17579860], [80791925, 80920348], [5203092, 24667760], [95450170, 2913087], [84718109, 51833981], [37237229, 22997880], [54450969, 83977366], [20014602, 32174179], [12798844, 41223701], [48960137, 86143843], [10111544, 14437979], [20985240, 87718044], [72396497, 1547852], [65625987, 158747], [41667206, 56721844], [55744861, 28785381], [90002753, 83587066], [57602968, 23522406], [6711193, 11584068], [80216829, 22161512], [61494516, 26429392], [2464147, 37159729], [3864151, 27138166], [36236052, 86570591], [60792968, 98725258], [78106316, 18067406], [54246865, 11805058], [32536673, 52750750], [88026306, 14166540], [49786215, 64086800], [84775524, 10263878], [22775139, 35614113], [45497445, 38922009], [72033117, 70661331], [65958835, 23632527], [70672126, 75374294], [24633410, 45511610], [63246135, 91243016], [36106430, 94730947], [12174593, 57122254], [50616413, 71827915], [1186746, 15652762], [19443188, 41593647], [22838968, 16360744], [97545092, 65174926], [14994685, 93525804], [65785016, 29572220], [6026957, 52806404], [10075257, 15836362], [43140327, 58586859], [83110375, 38308664], [93097985, 73154160], [5128621, 18985364], [80534794, 82832172], [46536941, 61386701], [23865822, 41310298], [26602906, 17666978], [26661722, 64358390], [22523826, 12216956], [92726535, 25682757], [16720670, 48046248], [59419112, 4852681], [53932617, 40722787], [54071738, 65705904], [42325923, 11356291], [56041496, 75040991], [83245153, 86803740], [39872525, 79330915], [57961038, 36334832], [85340900, 75142819], [37518243, 31270540], [68057634, 67698934], [60496133, 37464209], [96171880, 53282260], [84280344, 77253878], [53793305, 17394961], [15355505, 14363671], [26200596, 64294745], [6727301, 23784987], [35180728, 55829568], [22746236, 43435583], [35469646, 1371790], [45388638, 70490551], [22776387, 54380476], [54495174, 15181024], [73762653, 56226120], [64872721, 63801789], [2061136, 7710632], [87187955, 1482917], [86102931, 28938598], [66898927, 4126974], [41124145, 16718434], [37014070, 55029891], [91589387, 4263312], [95931854, 54041053], [73978934, 7741032], [93491406, 79057035], [2479202, 71448986], [71326370, 49971194], [19861057, 82056669], [58585138, 99674467], [83485301, 49923116], [85780174, 86331849], [959675, 29704113], [35363610, 7944735], [87303754, 81748391], [7515242, 87530627], [23164384, 30161517], [74518061, 27051762], [23939869, 72883141], [49914013, 18629757], [68573433, 95102391], [91632967, 98508129], [1221569, 12189648], [7951287, 68459866], [30997711, 33098675], [53313079, 86310945], [16257009, 12110125], [25206671, 41819742], [65342714, 75663536], [14777724, 63141834], [21625980, 72764182], [65003228, 88140721], [80229023, 18622728], [66436804, 34703708], [17073317, 40521809], [37470377, 32310177], [64637649, 7853826], [95995343, 62091249], [44969445, 96212276], [69155954, 57023495], [39358882, 50333657], [98898998, 47482721], [319468, 26654974], [58956325, 33987287], [26926224, 70960870], [44680998, 98333531], [59455739, 24632424], [51582527, 89464062], [92048427, 72090558], [66299526, 8488067], [53368447, 48965326], [18472166, 85535618], [83677755, 73519063], [55646914, 14339486], [41660552, 42857809], [61729287, 34776627], [74045526, 7904826], [80289882, 21987909], [30192300, 42904431], [76098801, 35769474], [44760491, 91872397], [34935869, 86078017], [88933354, 18343], [1597126, 84880605], [95981972, 48089644], [69836991, 74731979], [51500160, 78310507], [5412014, 25954210], [39160382, 23093223], [67202592, 45704560], [10831921, 6599051], [15244878, 50286186], [73881933, 29043585], [60277753, 59545456], [89327899, 1369643], [28581763, 38794816], [90851143, 88790512], [86968816, 9539278], [27633829, 98214651], [3768307, 91021433], [52876324, 83979783], [52875978, 46871042], [46596693, 84434935], [18849129, 10430104], [5536217, 73553549], [62161144, 60883106], [23956186, 68074527], [98376265, 79600123], [87793368, 93158127], [13378060, 148704], [10409279, 92889930], [11817625, 50848590], [7582520, 58924726], [81673434, 7747292], [58740032, 18160890], [59913301, 73817433], [91336233, 80281526], [44477162, 47382022], [31454596, 41554294], [79619665, 82563137], [90129850, 40806895], [6591615, 1389585], [70186890, 14460775], [15660644, 25301353], [21780853, 54186351], [63535692, 37402474], [98501923, 95498754], [29107411, 18261425], [25689286, 99429745], [90601874, 69575273], [61708887, 51377982], [42687256, 69183469], [77423020, 84571861], [31271854, 78061883], [42933912, 19652073], [5299321, 87679013], [55772956, 92613405], [99159703, 7328700], [48296222, 84088188], [43074631, 50712927], [74755788, 87201886], [3500452, 40168737], [38312053, 7941798], [64662562, 20419151], [64769259, 25826210], [41556530, 90911568], [50228142, 91670610], [54353912, 9937001], [85486604, 93698844], [9572169, 90591244], [69763484, 27441591], [33592679, 36829593], [61252085, 23198124], [94397277, 66919490], [83277000, 30569523], [15268793, 73771288], [63545642, 70175898], [22431279, 79865859], [7731278, 58645518], [61393115, 71309874], [10452900, 97258584], [58426925, 43952313], [52860978, 53657090], [72716799, 48292251], [70738534, 65881431], [46139119, 78282865], [37940596, 22608036], [6694491, 92876741], [11435048, 19269295], [1876357, 86065643], [64335812, 59976526], [24377934, 71494648], [76735236, 78585452], [83703736, 91170636], [38997009, 36968982], [86875005, 3123249], [58924663, 40551659], [18846752, 57723467], [88772119, 7097120], [59157031, 74814463], [30509424, 13977187], [27339032, 94517420], [51565472, 30687932], [47156804, 94581], [38617767, 69760954], [40878131, 26007421], [48992543, 81021951], [6482077, 83502154], [52523105, 91629932], [64239734, 83098615], [50781343, 22029192], [52527280, 8748340], [13131563, 24711230], [48705846, 24436357], [95459446, 61755570], [10200270, 73065199], [17152955, 18903274], [44652017, 98022432], [57983390, 58002532], [45355, 31501980], [17832250, 57709486], [14881114, 85849821], [51326147, 83382780], [23930695, 43757021], [92683037, 33815980], [19791433, 90940919], [40856921, 26989389], [87153365, 79362118], [83143761, 72487503], [90944840, 91769661], [95138172, 49095115], [17113422, 47108763], [20732425, 9552759], [3400678, 46241371], [70503776, 23713832], [77093585, 9376543], [99672435, 7993456], [80811709, 69685250], [81917997, 53543105], [79774305, 96448721], [10598890, 34821667], [5289471, 12873291], [79230115, 29082108], [92360719, 79467875], [98027076, 14566200], [34117696, 85454262], [85042504, 22152356], [62660804, 48258232], [82056557, 43908073], [710201, 50920581], [8065391, 483681], [9103016, 84109480], [53623012, 71509016], [70053259, 67128811], [99107859, 70072720], [93378171, 52220728], [38949100, 44345781], [6064771, 83196366], [36874502, 93828953], [68121763, 11792989], [58040517, 35620124], [85486277, 9521127], [401415, 13841469], [6700352, 24552706], [11378380, 53027525], [72701785, 30065941], [17529389, 15008465], [35243370, 6641311], [53223103, 24421454], [40530558, 85044227], [50323651, 69982048], [8547433, 19937435], [3468789, 19608263], [2184985, 82957637], [40395816, 17155984], [62489169, 18397670], [14961308, 64299348], [41840423, 72713292], [81242507, 31112680], [73025674, 57819139], [28038782, 81872801], [5045103, 28122240], [36029257, 45587029], [70151851, 15789001], [44131735, 65415865], [59928580, 69075974], [78958244, 32886170], [40148557, 3467690], [78492518, 13358497], [93340063, 18147123], [11474712, 6912663], [74640961, 777], [7003013, 88073507], [57932589, 98370511], [31099710, 69884873], [43481369, 19450974], [58891607, 67385817], [54497973, 45400431], [40927833, 37087417], [44739085, 61620918], [52926148, 75902806], [24065899, 34760713], [95233949, 83632268], [80418514, 80007112], [38953563, 40412543], [7341513, 86393848], [78745347, 5215751], [71664026, 23941019], [81226323, 15660166], [69583545, 75304939], [10384956, 49648663], [1225705, 15963504], [64515779, 7479455], [97262766, 48960722], [90125168, 35683542], [54729758, 76019528], [61547251, 85023199], [39339183, 20574223], [99062230, 34717115], [21786110, 32715990], [77376126, 51131909], [49741653, 93457799], [91332400, 83072422], [809653, 44131848], [66349280, 80657491], [6505043, 56796570], [57790702, 67622041], [79884493, 7347963], [15028140, 82117379], [1015728, 41905572], [55736995, 78995140], [55202879, 36851657], [96790933, 68741217], [31479058, 96634682], [29504093, 83233181], [61658173, 52132837], [19887253, 36125176], [49786442, 69961822], [21393950, 91262048], [88547366, 50630510], [77740899, 55854132], [38962572, 15896261], [92708083, 4628114], [81684421, 36439306], [9773091, 13276009], [58382588, 71267559], [95933906, 45831537], [39130029, 75739881], [77057500, 63284025], [99880975, 8823883], [24248322, 78537709], [93688634, 11489138], [96488258, 51201815], [70947173, 61008702], [52913565, 35034343], [67173097, 55845348], [26942601, 94665334], [69169211, 82411731], [89023225, 36203498], [73649805, 67190320], [14693521, 42175565], [78332433, 89391122], [24304453, 66552055], [86639858, 21986321], [86195365, 43246103], [93143649, 84765956], [93773765, 16039098], [28441464, 5392427], [54871721, 58506792], [23824098, 69818368], [82549419, 69866025], [99542215, 21209282], [56104382, 61704603], [41053794, 78555143], [81132741, 42687015], [13941489, 25536173], [74965878, 25035593], [37373801, 87002695], [85365197, 78932786], [94646873, 14197934], [37741697, 71435935], [25111644, 4789917], [70978765, 74820032], [59990571, 27730033], [70807750, 55683240], [60961068, 69323923], [66687444, 24920409], [40047721, 58333000], [79458989, 43715067], [24863353, 94670127], [97695920, 34066307], [50289325, 85417308], [56035274, 27363629], [87618870, 62594220], [67659486, 18356726], [22641931, 71580258], [78904852, 44536898], [61091442, 54588793], [36582184, 33270700], [72523965, 25354629], [88822891, 13092230], [82547608, 44535282], [3685980, 82616265], [95794080, 61766858], [81239958, 81791940], [57146380, 45345459], [32623431, 86727233], [65777599, 30356636], [72921731, 78559426], [81905094, 36161066], [12146809, 71390358], [76843842, 65540958], [23490097, 53119162], [32484347, 16933450], [22465502, 7454529], [51504092, 97056615], [15226494, 35599886], [52399951, 89148212], [27485052, 58946262], [88978789, 82561646], [26866246, 41542126], [14564750, 73899051], [76889162, 68169727], [58143043, 84385057], [70731298, 84653932], [4083729, 68447941], [25043253, 86881017], [44298151, 15428368], [88998458, 51599330], [36704358, 18751405], [62209032, 79620191], [12043845, 11553962], [79328198, 91982976], [8718955, 78503842], [42604382, 39740292], [14563050, 94180447], [93142478, 99737524], [98072582, 31432543], [87738920, 85591171], [67342292, 43619194], [30266092, 81697285], [8460662, 88454029], [28775259, 46218687], [43701176, 59081514], [29395455, 12222173], [13645303, 27239222], [78016347, 94565939], [31635678, 96973258], [48700507, 9269220], [23452485, 12019061], [90640278, 65315585], [99889706, 37379960], [68360999, 40536310], [41357722, 18082391], [30363699, 46851630], [83716871, 75498591], [21236503, 75365594], [60500954, 53307714], [40894346, 56502093], [91130864, 59856671], [73807094, 47967351], [73884420, 49332939], [78672621, 78301684], [91311441, 15712271], [37564195, 3320399], [90464804, 95872697], [35846233, 59982314], [92366306, 47622625], [94815774, 87464552], [56367249, 29171025], [74006482, 92003639], [36720634, 20901259], [74233405, 3596651], [52103799, 20928284], [7650050, 94770426], [35950923, 58005985], [70616095, 28318113], [7879844, 56752610], [33299865, 77767559], [36292213, 20291794], [56610884, 74231992], [33582985, 96750967], [76299016, 91525221], [21212987, 98910283], [22559253, 97794101], [81577601, 65120684], [43514908, 10510500], [37402949, 13061042], [40193927, 89847214], [68562850, 48291619], [41945721, 91744025], [76622106, 49267923], [61484999, 21766130], [52402250, 17228042], [63653361, 5192452], [11838535, 55999161], [77427679, 24212357], [2642393, 44595513], [42768204, 42998643], [98541842, 4516847], [26847115, 91439034], [56984620, 33470761], [85379871, 76058361], [60573205, 26292990], [88538282, 54923674], [94707029, 897147], [89750867, 41925057], [11348274, 12051694], [59407779, 56068359], [16322472, 4843616], [15522386, 9872518], [7450893, 39992], [6955564, 67796566], [62012311, 94519620], [13249081, 95337036], [32400987, 67058586], [63021489, 75263877], [97660245, 96144329], [33381942, 19475594], [17290991, 86620627], [85408081, 50038394], [45593434, 85507848], [92928159, 86869096], [53847960, 67227702], [96875802, 48505291], [24740491, 30931048], [62978731, 85333201], [35097589, 973691], [37221768, 51774670], [32813708, 80193142], [39564852, 82893582], [61053618, 13951558], [61316084, 58822634], [80198592, 37553854], [71890378, 29781233], [38491918, 44558976], [99185766, 7316302], [76007921, 46731304], [98887242, 23778053], [96826865, 40915890], [93978102, 8858847], [32896987, 50586235], [60712755, 4434830], [5586500, 38217188], [63971593, 22128091], [12512580, 83716867], [41739595, 83932707], [13868029, 18180442], [39921333, 49557458], [54935240, 17473475], [11025886, 99111741], [49910802, 33509896], [53690294, 41493482], [22259111, 72488485], [72014612, 29691180], [79807979, 35713473], [11265883, 40199147], [44353662, 18071682], [4269210, 9806478], [81489400, 93954110], [53160011, 8102776], [79222304, 29163978], [71294295, 52405715], [60638859, 5370416], [6978923, 15785411], [28319103, 15582734], [58200660, 54868314], [67972311, 93075546], [74364056, 96306053], [54048018, 82737498], [52533903, 84067315], [50895237, 79804541], [56021043, 67425656], [91468043, 89372138], [67283709, 60780848], [39731496, 10643424], [11436887, 670166], [29856160, 33387795], [34053689, 80110806], [54473089, 59973495], [61604251, 59266299], [11564261, 18637596], [36843074, 27632172], [98403554, 46981238], [15985183, 96342394], [7048109, 12262853], [15686823, 36861405], [57549736, 60891199], [52148188, 25877725], [47022678, 9873040], [83562836, 48714832], [78495486, 23860208], [37098886, 32313886], [12587356, 71061584], [11981489, 31577942], [99516199, 95120699], [80456896, 42911110], [8089354, 81974550], [21065567, 98011082], [27706228, 64782367], [749078, 3433501], [53006621, 53205695], [90212128, 89993194], [7671154, 94403759], [97975619, 4155878], [71755382, 15868032], [7026388, 28818937], [36635391, 92737837], [24812321, 7621983], [51036232, 5522937], [82497809, 24018472], [220162, 40239850], [91210971, 1062619], [79354069, 96547380], [84596251, 25827539], [45892265, 93149267], [42272412, 96173762], [29193884, 7408796], [40452819, 41526605], [15411131, 18725841], [76231638, 44384401], [89518889, 11013625], [86805880, 80262991], [29003574, 53810036], [14344315, 80919038], [10968451, 624659], [87860694, 96074746], [47257394, 19065134], [25663381, 89338922], [62748456, 75916527], [48270550, 37145690], [90241435, 24803658], [26679311, 63898163], [41812090, 78143625], [81322518, 98056871], [98209785, 23114948], [75413806, 36625725], [77181848, 77369582], [32736197, 48867770], [60957314, 17758476], [21652112, 87826107], [90647291, 96266685], [30820395, 62291781], [5141895, 28381719], [46515885, 13654699], [37890490, 96937084], [11233717, 81754683], [88248551, 62211259], [49980814, 92708371], [87849873, 51407764], [3808747, 41235107], [85462076, 83336837], [48833981, 22830367], [91396321, 45843948], [71433257, 70977069], [20336798, 73525766], [40234001, 28467925], [53181483, 6189489], [38694943, 81269395], [92356666, 84797779], [78765808, 88748303], [90422210, 84194246], [82090385, 47473473], [48279216, 80358178], [98151426, 97195027], [229826, 80474878], [24727338, 54899954], [41125471, 90327529], [23564555, 81666789], [54751909, 62577464], [8023974, 2523944], [53170245, 78579276], [19730546, 87351783], [15479718, 13345483], [85888873, 15305639], [85301349, 41474962], [47443120, 22334942], [32348591, 2058484], [36966899, 28286506], [61552005, 45799721], [18582522, 9775761], [51256044, 91897702], [85685198, 41579911], [60944916, 42190593], [59674234, 33924205], [36989059, 95206710], [35239524, 40180640], [51348885, 776307], [99725384, 3482959], [32180107, 17923199], [6151937, 98087128], [42281028, 58206312], [84837461, 29198833], [49792647, 84625532], [35914412, 96827587], [40056916, 87229162], [53541242, 30328581], [41974092, 51503008], [47962459, 46811089], [53170402, 36308568], [53116638, 28749967], [34893515, 56904751], [97430758, 92849073], [43733607, 61199531], [2080596, 2781200], [75449309, 22967359], [81947919, 33582149], [60656957, 28077403], [99292954, 19613232], [9346882, 26150982], [4540062, 28374978], [99407306, 12850186], [98595133, 52149791], [72159452, 80971304], [91543060, 47563031], [99108005, 94489595], [65751606, 85556411], [70465905, 22665048], [25584937, 22940863], [95786375, 89435666], [86912423, 83072665], [76581425, 7548663], [79537881, 85664775], [53587184, 55479742], [92822053, 69399663], [80107676, 81878756], [28446586, 87629981], [20803947, 44159009], [38781927, 27991678], [50864784, 33695089], [16262575, 96356129], [4246235, 87095050], [20448019, 98937031], [22512793, 28971925], [35514525, 36343355], [35070979, 78013712], [56057446, 55334699], [94608927, 5686546], [85279609, 63028170], [39556131, 56394633], [15168207, 1752067], [46224741, 35776522], [72289418, 33120441], [22727716, 80452457], [16000353, 32047236], [78009013, 28284825], [29373027, 14143467], [7642074, 82411398], [36009980, 4542534], [40899771, 20708612], [89407235, 5864651], [11703018, 58450972], [1079762, 57061289], [64742467, 7051942], [48171754, 64887399], [57245509, 39795591], [62893361, 94964778], [86414957, 29141179], [30251401, 51679480], [99333549, 93189972], [24577589, 41219804], [88345176, 92750751], [39205741, 55579746], [97305624, 3076303], [76964096, 32290236], [16009402, 75270008], [28508149, 61072219], [538801, 49641218], [95462924, 24221404], [73406815, 64587969], [99097817, 85901759], [19579025, 88813160], [57924288, 55623508], [2282277, 27914366], [73874149, 23279448], [16947433, 10664824], [44395260, 37590918], [78441893, 23909229], [82018671, 13860002], [15694394, 47608524], [57017561, 96353789], [71946072, 31705201], [86432120, 55138526], [18935388, 82214287], [88144240, 71973369], [97817623, 72831976], [79354150, 24396940], [3680614, 5479232], [68149995, 14329255], [98222475, 13488514], [46416076, 91802955], [58858544, 91694856], [78031986, 87882357], [42237325, 45428435], [34970062, 67268505], [33446624, 53353172], [1727184, 10055368], [1914385, 95493620], [99805177, 6083095], [49690706, 68059246], [33389907, 67404541], [25636078, 40268079], [36409602, 90567861], [88763728, 41669367], [11135964, 20050459], [21082731, 4511923], [83162705, 70720970], [50988422, 86026380], [90543142, 15220115], [35652720, 67678398], [79351150, 62035468], [71692257, 10969864], [24991592, 1834431], [57839797, 89624596], [18896128, 80161029], [1317199, 61062502], [17489837, 71413372], [74018704, 63139638], [45021596, 92490438], [81148951, 65194748], [41163026, 50656673], [83367952, 36499426], [81631113, 56174812], [20542225, 73683848], [77022894, 45206223], [33705926, 94139681], [49676897, 10624165], [45338105, 15209520], [74794732, 83969714], [73012985, 94612717], [70311192, 95917029], [6413686, 24221279], [82480980, 10848502], [82652897, 63988275], [99651827, 14455323], [36122159, 67846626], [29937111, 46225907], [6984042, 84070730], [63800399, 80266009], [30839283, 35405531], [70580283, 33187486], [15120196, 9534985], [52034533, 68663181], [80711359, 47758479], [71415732, 38874278], [18264482, 53840628], [35669950, 99904446], [38882408, 58174677], [39553677, 51110742], [62062466, 56229791], [72088759, 96446958], [74807513, 62311292], [59589706, 34541930], [12163652, 56739058], [1520305, 59578499], [43183495, 61377403], [66162637, 73271359], [97914223, 84766978], [72784909, 39916581], [67072696, 98857989], [19033906, 47658493], [44876507, 55588471], [60268013, 65633622], [62406915, 74503314], [82008684, 34484758], [92483853, 17394228], [22555641, 20988495], [53361541, 78202113], [24166963, 11451781], [88994873, 18639042], [91125668, 150587], [89112943, 23166063], [57967605, 49413842], [98983785, 25387612], [3199257, 4010233], [92855830, 10450800], [37660142, 83573019], [74032906, 27250197], [49374171, 2532518], [98237002, 53104044], [86149369, 92787530], [58671319, 85350930], [55950817, 80692684], [78778249, 53518324], [717822, 65706416], [9163006, 96241395], [17109572, 85321899], [71073682, 88587217], [97500047, 32365305], [98495375, 40487381], [91192661, 3192277], [78049576, 62715326], [1700880, 6868811], [21518850, 65703987], [48549207, 49183941], [23508450, 88774222], [46417251, 41174197], [60186175, 86913803], [44412119, 55440357], [23256676, 11726789], [26061586, 88837682], [35725124, 92341709], [39465060, 22584991], [52006304, 23142247], [45589420, 33243036], [58785776, 33066222], [20070618, 44642266], [20301043, 5905737], [33944142, 57264026], [67840572, 16535669], [28625454, 71259599], [76879648, 37789899], [10621526, 76067488], [25497824, 54364213], [9506892, 49934761], [94223920, 92902608], [63811145, 90008208], [62980899, 34064403], [50341233, 15816602], [31812363, 49304810], [7676308, 74277694], [82252851, 14487672], [530179, 90120097], [38671712, 99183957], [66025959, 5728558], [56800915, 76135646], [35380704, 60943472], [16696750, 69674947], [64282254, 15460971], [31289907, 99594957], [15142473, 81356003], [34183300, 5088594], [22139481, 32275085], [47612357, 81863314], [30797972, 60260476], [38180999, 33564478], [72350245, 75588199], [34620427, 24706579], [63996626, 36266100], [36313051, 93606613], [33217989, 93111537], [52704611, 55681098], [57224189, 74953282], [22330952, 96787029], [53260666, 81465146], [64249893, 29582616], [72134000, 48999898], [97876370, 59777683], [85949017, 70696335], [30793386, 96521380], [94270846, 70496404], [92181851, 21949196], [10454709, 12825878], [93672395, 31014905], [12029100, 17495315], [18227766, 41629298], [98706972, 49257975], [78730940, 72115549], [74187429, 84054151], [91024049, 18100989], [70396216, 18852610], [63597312, 84488604], [74120703, 79667153], [43543660, 41148291], [75766528, 47266437], [90884551, 73685267], [88779007, 85055566], [18641552, 27637628], [77628684, 41087841], [10430036, 54257407], [99186909, 20246812], [75711488, 62979466], [95347989, 60605403], [88548165, 44600495], [1996092, 9673550], [20046439, 72664050], [84678104, 40780356], [12638873, 34139255], [49692680, 41476847], [98391831, 82911718], [76396060, 68938473], [61843697, 73233262], [14037747, 26326592], [16805566, 10654937], [9862969, 8792429], [62578955, 32497771], [28768760, 13850023], [58673512, 38206091], [62665789, 29538266], [13494372, 97151975], [73809329, 2904551], [34054373, 85445961], [59908961, 74594876], [86834279, 68334315], [84579815, 70804669], [46241309, 51508821], [76612936, 62492009], [53344492, 3504102], [89241333, 74428891], [38983989, 91886421], [11977618, 72811543], [38653055, 98007575], [36048965, 36000097], [5152844, 58190548], [11542875, 74813275], [68880956, 37253449], [33860777, 19531164], [58954271, 5673390], [85528066, 17671459], [23694925, 74657844], [67539369, 62669909], [46879150, 27894763], [41519657, 25810257], [30354105, 41760183], [65703334, 94926646], [92985510, 5251399], [2278306, 85484737], [77936611, 1701241], [76143969, 71463275], [43937875, 2912175], [71006483, 51187599], [20482739, 72770230], [95048775, 16471842], [53404067, 86150573], [37239819, 12410069], [80026772, 87612048], [56638777, 72827206], [16438642, 40062751], [48011256, 68603820], [18309122, 4364674], [55177114, 94890301], [10411075, 57993738], [46002412, 12751190], [24861908, 37559736], [79578978, 29648553], [87651510, 94437231], [56501173, 28694067], [14216344, 31925598], [73878272, 35239746], [18696594, 62431728], [42891324, 43233806], [8027687, 58606813], [89902615, 48194351], [47156912, 65981530], [6625707, 60727578], [99642869, 73850111], [58480340, 20343988], [68081648, 57974572], [73574282, 58890982], [15495587, 50268772], [95303485, 1427772], [17058741, 86218804], [48007408, 84597837], [3824360, 68018308], [27895135, 85568555], [91010050, 60233061], [54796580, 14187527], [24741221, 31729448], [73056374, 9052558], [74885035, 97818617], [1413580, 72679688], [85906910, 86019740], [36608795, 36065289], [13054970, 99491242], [58915987, 87829221], [39514687, 94308865], [28555640, 49531722], [65584938, 33935559], [94103504, 54001980], [93150459, 46045549], [31775546, 81113356], [17980133, 22792479], [48857354, 69974147], [71514325, 71276033], [99260113, 81055756], [15534737, 1258487], [88863608, 85396541], [66575175, 74356879], [49927838, 83529492], [48605584, 61592160], [35683017, 87968893], [17212940, 21181524], [39538350, 41518284], [2501230, 55299378], [40586167, 32581402], [26460627, 98474672], [46659463, 12852703], [15612613, 94935439], [63929667, 20742587], [14141238, 48584619], [62753225, 410674], [38566116, 55802749], [74510206, 90413909], [92185817, 42040540], [97451229, 83965328], [41654383, 76482808], [39766243, 59307818], [14877089, 33144414], [47721638, 66325259], [19091202, 1249550], [12716885, 20436846], [69921326, 63072042], [87752411, 2918943], [7233384, 13327874], [49611329, 44623337], [71996442, 51975041], [31890439, 44182100], [2648427, 41472124], [58228727, 27831065], [18143170, 87096777], [71115942, 91089666], [32773063, 25702134], [56578018, 76026657], [6919289, 96000205], [50968381, 12045623], [71241817, 23731747], [40927629, 21663900], [60216800, 23308413], [28101319, 37514028], [45076739, 77588068], [34522429, 15936127], [52582734, 49104661], [78738750, 19995811], [11972817, 71646124], [4515141, 51072197], [10532341, 87431934], [18945668, 25193240], [65066127, 73058558], [9450465, 14933634], [54323441, 23326678], [88733174, 59691181], [34186525, 73210343], [10032940, 28535411], [56186943, 32927285], [62960933, 18602692], [35319472, 84409082], [86749194, 58035084], [7571753, 3200855], [60633679, 68789381], [71813488, 28064934], [13752585, 57887071], [51910351, 40780681], [97297826, 72370991], [42849450, 37416130], [18842418, 69950411], [66011233, 78584819], [585445, 30832782], [13430670, 62538049], [84760358, 5567234], [38662126, 39890379], [22138999, 7904140], [30806160, 26724763], [42337247, 95904413], [20483642, 32808595], [86672950, 63852456], [48243759, 43762329], [48236571, 6187305], [340769, 43154073], [52577379, 13616640], [77895921, 28515848], [97765927, 56383261], [44258350, 8324780], [3503080, 71996463], [31488296, 70324456], [11894118, 4473294], [72934439, 58844666], [29146327, 74618600], [13330693, 56738286], [96572279, 80860774], [87439389, 68855256], [38758535, 71688126], [18736671, 69246033], [78580651, 62670920], [85287527, 86282734], [81652458, 48623391], [93329961, 80136968], [60756864, 73553646], [74357852, 2062395], [80029695, 88910484], [99313244, 78515575], [47549777, 41611658], [64928996, 80122895], [64356774, 98101212], [76674903, 3501762], [29358930, 36126797], [78740477, 81403905], [2041190, 58287927], [53081556, 30966447], [14339738, 79642162], [92239760, 81098695], [95971081, 92704254], [98005562, 88399196], [7476830, 29259856], [46337982, 58093221], [7743961, 54366523], [90945394, 9900754], [44910352, 50859324], [40679417, 38214223], [58528680, 68372016], [39638929, 17087122], [13293584, 45334136], [63821390, 85534566], [46020715, 40968235], [73371366, 1404737], [1508578, 93166108], [38963397, 86976068], [82444262, 4655875], [16925893, 37344809], [85479759, 39609867], [1778510, 20566884], [13362192, 70403349], [20025884, 34397523], [28378394, 1926854], [27957888, 87126130], [61387418, 18698029], [29649066, 92419386], [82394648, 95498135], [80902268, 65869357], [42487297, 71670844], [60786746, 42824727], [61810837, 35723318], [68146864, 55198929], [5724820, 41440406], [23307117, 74606280], [25665909, 30380639], [24194906, 99051047], [21032313, 44625105], [81492011, 24570526], [36385236, 39154381], [78107119, 944147], [21530949, 34673823], [23174284, 20026774], [15561115, 70363149], [18305879, 36189814], [23449167, 97096945], [78849731, 38211350], [95946653, 70768782], [61730534, 67468759], [59227500, 74842079], [90329505, 71753784], [70663986, 67703523], [77023973, 34159262], [42919145, 23322677], [57817485, 75533428], [34833538, 88279823], [52059088, 28690614], [85509625, 59390212], [29039801, 22084453], [71659529, 36473005], [1847353, 87004190], [95228533, 13723313], [62063585, 14908365], [38249216, 68707622], [62100950, 46203635], [84954756, 43350259], [90028014, 52996934], [27511265, 20001266], [38870805, 18900640], [65210108, 50571303], [68030001, 72535763], [74042142, 89288], [79193604, 55757702], [76097021, 93306838], [31405470, 30909081], [52951438, 21443120], [16122143, 23710501], [54305180, 17698530], [19767437, 46271618], [92408829, 55457624], [85885435, 68108897], [11383923, 92832009], [84433553, 10711930], [95293378, 2840712], [7629508, 63879697], [78372072, 17435258], [10482740, 16377], [32138749, 28083344], [24871947, 65192823], [60139279, 95294305], [3368487, 41237954], [66658431, 93993062], [36829415, 38062542], [38912444, 46856037], [86181983, 34928698], [13417078, 75016314], [19355654, 443976], [10885442, 95996062], [72169919, 32053336], [89382742, 45961903], [91902239, 40398535], [95450333, 60177895], [93791190, 39489067], [26587349, 62409972], [88774015, 92445073], [57913765, 74148920], [22923199, 18497332], [90808951, 91318446], [94876149, 83898308], [65736069, 11683786], [20919827, 49163390], [82533669, 32167209], [7088631, 74059646], [15524887, 27738146], [56296075, 8944754], [40282417, 1468865], [68596320, 12466612], [13627712, 643502], [72624321, 46565796], [80018518, 63536595], [86631932, 67847150], [46292923, 16921866], [23419906, 46085375], [89703217, 28207411], [5460158, 47094824], [84867802, 70067804], [87223338, 2592669], [47400439, 4231975], [80575295, 60691554], [77014043, 96742553], [47297994, 92229325], [5126947, 19156102], [94642152, 1700523], [56294215, 46667185], [58619190, 23729008], [65911422, 87468027], [94905491, 96608214], [32958138, 86258451], [56932563, 84054192], [34142712, 95201241], [78380695, 53850576], [12502818, 77331261], [1831394, 20402174], [93819950, 33942460], [47095917, 2671230], [18481746, 92971506], [61404889, 97196167], [97801402, 30431139], [97437927, 87526883], [13734962, 87149369], [45560697, 15398022], [1021965, 48167605], [97529889, 84046610], [56123406, 86796140], [3184960, 51180398], [24835031, 76478265], [63062579, 72126866], [28720267, 53665854], [79677372, 60631381], [41634124, 22626080], [637680, 88837464], [69141984, 99151509], [85777472, 22616737], [71057471, 99022941], [29442757, 59588288], [77090251, 8169250], [34051184, 31608251], [6237578, 78879876], [95952452, 66482334], [4973496, 67858933], [93140097, 15341317], [79266992, 48370688], [27569954, 12674008], [83557122, 72936767], [66710124, 32280718], [49268832, 28390021], [51485003, 7423832], [62569638, 59807883], [23621976, 16619057], [12080385, 11881012], [5606709, 28954329], [72170815, 23436764], [36086596, 94437497], [77413457, 75583524], [34283112, 46783723], [96399004, 7082328], [99102769, 28741855], [70871052, 68478022], [33689818, 41738748], [38014052, 61287553], [80114774, 4591340], [13174867, 82115757], [74831646, 66064010], [28946551, 91681260], [69495852, 86765213], [40618098, 56496766], [27538896, 89349369], [26856953, 57462954], [23602227, 84139798], [91550808, 5157515], [85666654, 61410817], [65260348, 35502157], [26962235, 23031387], [63775419, 15691635], [61747074, 3698446], [50677303, 27750335], [54726545, 84547855], [32234392, 85402206], [2575680, 21371098], [51008765, 36191706], [32278663, 72616019], [69008390, 63151725], [69550573, 72882440], [562374, 66628350], [98375068, 4672311], [50797938, 92935103], [33043025, 54091170], [24791639, 32715530], [29614859, 85737189], [27139079, 45655601], [18965219, 66224052], [77889454, 17271926], [7969999, 40507170], [53985628, 65527859], [79191394, 27824329], [11245620, 75012820], [99871491, 96669756], [51134824, 14674038], [84294510, 61601950], [61257480, 15543417], [35628004, 87296433], [85584140, 94163339], [37662878, 37145254], [52944838, 51220699], [56281617, 63783577], [15896883, 30141477], [74245563, 92633634], [66859301, 59378349], [77580214, 97876685], [51465699, 50689656], [85614361, 11565403], [88784080, 65152722], [10208129, 28555751], [16374748, 44657540], [47693163, 80426142], [27365816, 38840573], [94811393, 18224728], [8539412, 58863053], [62715369, 4085041], [29872789, 83328586], [36663471, 40582374], [37614204, 20812642], [50054057, 40666024], [93173569, 32846906], [34972431, 39762993], [14730926, 87008225], [8896044, 66011542], [77347304, 86574884], [38660399, 49471432], [56514750, 49807954], [26641905, 43736819], [76966652, 78085635], [65238788, 27841220], [36595033, 2095485], [50995446, 49647330], [44724157, 87674385], [71282915, 65744015], [5226291, 39574302], [55362188, 20938996], [73414952, 27828036], [87223621, 84369754], [19555872, 52586508], [30667028, 65694109], [97409846, 10912463], [22941043, 45710529], [95362098, 68753087], [92014409, 1327098], [36949808, 90342087], [2480068, 64657556], [59572499, 17394118], [44178217, 57112566], [36100085, 21397352], [39948276, 89316926], [17224337, 39087027], [84199401, 13564601], [47276319, 74737380], [49328059, 95650334], [33962727, 49075212], [60918845, 88136747], [41131711, 98235331], [99819497, 83737819], [21262663, 91254123], [59853095, 17724458], [95917273, 1705956], [2615545, 49292490], [24054595, 37690127], [57690330, 57788541], [21502034, 62726772], [2878857, 47492623], [27516860, 43166696], [56088348, 92422065], [92885227, 2942724], [2276194, 43754876], [29835609, 87793859], [78287595, 11559029], [38221945, 68261965], [62927549, 84501324], [68511386, 37045878], [7743994, 19765923], [85663919, 96492045], [52341733, 24873224], [19606621, 75196545], [1113312, 536946], [3323088, 37415665], [42700558, 19191774], [42728451, 36023482], [86092654, 23848398], [93007522, 6841857], [23188168, 1857659], [62728042, 71506432], [9836851, 6011297], [73536921, 83061950], [89364506, 32048192], [4834664, 23903447], [20838170, 52649153], [34032470, 36831726], [42281872, 14970766], [19762808, 66327770], [98436395, 50997963], [1974224, 83399989], [27622023, 37870711], [46346337, 95357294], [40948441, 44678085], [39124775, 52536010], [44405, 58359813], [99965225, 65531824], [46411515, 72679875], [44300211, 65361825], [72192726, 41090796], [53214971, 76123648], [27412053, 43886978], [61785407, 58905207], [52120932, 3004425], [18764616, 14888063], [20473517, 47711183], [31912225, 21740367], [44475813, 36374134], [39358046, 99660819], [47834926, 13189184], [62463594, 43142515], [4149630, 98915775], [81333575, 29358856], [1367523, 34205387], [78930424, 85276229], [16991291, 77215153], [78840025, 94936019], [30795481, 66388496], [804383, 49338363], [12856347, 33421236], [38100298, 65132063], [49438543, 59015050], [93053318, 91453230], [30954155, 93638329], [56864866, 31512435], [57106074, 7370742], [88627207, 99117290], [35358355, 89468389], [79493486, 45124047], [38842617, 96163887], [83139121, 16558933], [4027468, 87477395], [29131759, 30972796], [83084435, 28826474], [55992256, 19436955], [84616721, 27711863], [10721422, 58903173], [99251888, 63205716], [3216067, 92451407], [21978618, 56644498], [45248892, 77000109], [45903789, 94037196], [8369735, 96304746], [71763714, 96289919], [3139383, 38252411], [68783875, 12046680], [34369673, 64793743], [51820404, 92834351], [3547148, 25297781], [19308018, 9725496], [22919371, 82467154], [38224937, 76082133], [92232410, 68471578], [62359356, 88152640], [3687408, 16307053], [27076900, 154642], [87286545, 19419155], [63743690, 57342410], [8754824, 6281465], [68814608, 86239421], [28922808, 48504286], [28543244, 15142105], [40042625, 84055484], [59116412, 93211899], [20456857, 8165509], [11264711, 54274066], [14607576, 83803927], [80176193, 54910985], [58295194, 89020413], [73811133, 51599673], [90018671, 3450574], [69537927, 35559285], [28639596, 33054555], [99063926, 2867074], [65732059, 86379808], [60371535, 83080082], [24844458, 4542147], [12467834, 73275069], [39604433, 52697393], [25429268, 58405258], [92656963, 20617825], [29175549, 31167946], [63089062, 1746960], [48200819, 39185579], [12711068, 75433966], [90314743, 80058297], [64900075, 97559837], [22327406, 33168289], [23455630, 64794385], [85318876, 86644373], [15399261, 88494508], [74913805, 37982522], [1296523, 1760083], [11572921, 74548385], [97628492, 53347719], [67548724, 28383863], [96236816, 35548024], [78523033, 43449721], [22673685, 25135377], [48457616, 78919705], [80329346, 46359568], [80129628, 88738038], [39077179, 3886028], [21909277, 36739384], [46429146, 18261194], [57489330, 26140598], [71391328, 75279039], [28222293, 21922942], [82879756, 73039820], [86447214, 34443414], [11453321, 88595506], [75358646, 38686361], [39161040, 66296193], [73159367, 84753138], [84748877, 87694934], [2490649, 54212289], [58047231, 86045394], [3282829, 11599943], [51625175, 22403089], [68082459, 73444925], [7068849, 82129853], [35494172, 25604174], [90583370, 64335279], [50799110, 4990759], [29792415, 93493848], [63625473, 60345831], [359532, 78606067], [24218208, 83865586], [47422272, 89407904], [77327589, 66320347], [56186449, 60413030], [1174435, 29631756], [13179420, 17714297], [13131005, 44778575], [83985949, 22872599], [83391373, 64238612], [84994247, 52302496], [41363182, 60537312], [51965711, 37832102], [71924566, 77681993], [10428295, 84158569], [52784803, 80602881], [54036512, 93370690], [72516660, 12512317], [23616221, 22595838], [70228396, 45111861], [42516351, 53129601], [21579354, 38618988], [58217428, 79812107], [78744987, 47233039], [80326095, 88217847], [12275625, 34515614], [84986174, 71121724], [48536862, 29696664], [53858306, 36059146], [68790180, 86886414], [8680080, 65192175], [99872191, 6135226], [43730513, 69438660], [81352382, 72454422], [9363834, 3666027], [62503803, 87539239], [80832346, 45806480], [26613172, 89769697], [54700036, 50795095], [85615560, 47612173], [67098822, 35796465], [48429499, 5277754], [60852915, 31753656], [81178573, 53537627], [69932579, 30582043], [78329994, 22973336], [79391424, 89850668], [24708245, 40203485], [94677923, 67582751], [44928044, 41804196], [55424396, 74962852], [79542634, 83116185], [8953735, 15236544], [64941325, 38548929], [52792214, 96657447], [67713148, 35589945], [36876665, 35158313], [90872616, 82414150], [82322985, 56705242], [92068667, 67042153], [36651329, 89232750], [79024262, 85343943], [96964848, 52870466], [2408878, 16156655], [86251173, 78693242], [73634954, 31035360], [73024091, 18034462], [31678462, 95460883], [34432986, 80542822], [33739171, 28309158], [60198284, 12604000], [31628022, 67387076], [51435794, 58704688], [5218105, 43946658], [75475971, 36642894], [42141946, 39507729], [75801237, 5552524], [75002263, 98588569], [19567471, 31913310], [49907594, 51967714], [56030622, 24182929], [18823679, 64693100], [56487611, 80926375], [49769002, 80848844], [79495906, 50161960], [9683586, 79516721], [65947078, 21912997], [67696499, 62920608], [79916410, 62845904], [80358551, 89683762], [48131106, 81039753], [72701970, 73695918], [20427019, 64243621], [94043104, 87372271], [48885543, 76607196], [50812368, 62280893], [64120972, 55115494], [11649073, 75991025], [16209045, 68318731], [96810108, 69836079], [43538237, 61834990], [47302244, 95754346], [74893538, 64921158], [12737223, 42842748], [46846070, 64966991], [45794363, 15541943], [72868043, 55940911], [84971313, 57084870], [66201159, 24287495], [42044205, 55281295], [73633332, 52559658], [73796254, 78546805], [56020115, 42041450], [55349959, 52288863], [85936415, 54031566], [58635786, 11114907], [39931047, 22388879], [17065634, 63323620], [94588095, 64460377], [67342826, 96423939], [16191598, 37523771], [9815795, 68557479], [64448970, 48549299], [36296259, 68008645], [51353513, 93007736], [37954615, 55943282], [72781585, 68088028], [54784758, 23183293], [3513714, 41175406], [80349305, 89269121], [55760738, 64489424], [70234782, 14611810], [25659925, 87532836], [2064837, 8487451], [91210214, 89372132], [40054166, 75505183], [10519211, 8731224], [97745720, 70165468], [5939254, 89447596], [15554913, 67900544], [15298956, 93753058], [87637933, 67152896], [93484699, 95963698], [16757812, 32774016], [78412277, 44766335], [24824655, 33338323], [63693643, 94265184], [79486047, 39748269], [46350326, 31048758], [11426330, 71816281], [37396643, 5883239], [83971836, 90779791], [98662276, 37448911], [37993108, 69767839], [80663509, 63938982], [45726275, 56190708], [74460600, 96052567], [6161131, 61837250], [50005338, 1770466], [64681366, 12951105], [54487900, 11395578], [96685605, 28448939], [79533522, 94143106], [2284259, 33685681], [8975196, 24139649], [89482351, 34981241], [20781230, 74780953], [72817585, 78414056], [59203106, 97603272], [76255202, 64201420], [19707104, 74711151], [57634508, 88551283], [15193683, 39484952], [92018663, 42533843], [48845728, 53821812], [31481849, 94872345], [55000516, 72682662], [80263912, 39010830], [20316815, 90266001], [64622494, 86801535], [9047890, 88376880], [63116977, 39532906], [97056367, 90790355], [52203341, 96791403], [7246135, 15522299], [85502066, 2568615], [85454340, 36466068], [15334970, 8336671], [27395013, 94333163], [39379723, 91502501], [51228930, 22355000], [63115261, 36073726], [45473481, 76073078], [29253713, 14726358], [234636, 16991856], [61549070, 17592842], [99685215, 47357936], [58839879, 68159115], [10384852, 82954936], [81293281, 36261432], [84550503, 54416256], [28598824, 18648663], [8845354, 71451747], [15386701, 29967658], [63289037, 29604662], [1095092, 7075521], [47287989, 32149858], [54743591, 25580699], [13492779, 19861910], [60281997, 43031129], [55117641, 39886120], [42612180, 8654649], [19266420, 76056552], [46803092, 24044415], [23976053, 11518398], [84455422, 69440206], [29077288, 26429645], [68257026, 81850520], [8798590, 53308330], [68280454, 73659502], [83931608, 53192401], [99831532, 25962565], [38554605, 46589725], [27787368, 2205536], [57578390, 23225447], [79552323, 22993176], [24300934, 57636421], [76370285, 77516533], [5526522, 96515565], [10938484, 95364985], [606350, 74054992], [90049000, 61875303], [74187090, 67709177], [6732011, 93402446], [9691314, 51583320], [16636011, 20760348], [20847637, 74169477], [91382210, 75082548], [30253717, 606241], [65189699, 60030205], [11776588, 3771576], [38905568, 52146913], [28666455, 28548091], [20944200, 13836709], [20760714, 84291970], [94720444, 94546272], [38560542, 94507744], [62810037, 11593703], [89516557, 56218714], [8254879, 15188974], [88367107, 81967251], [48498677, 41638691], [12530603, 74626877], [31458694, 28249372], [64272485, 19126647], [25235841, 44079202], [36823613, 1512101], [16403231, 50610692], [54619466, 32241471], [4446362, 39651066], [56388077, 19741588], [79170811, 88789290], [53383032, 51080893], [79639295, 1223864], [71940780, 6586268], [8975208, 92863410], [25372904, 56830301], [652167, 76178025], [59762950, 25298599], [40588413, 46222133], [48762405, 14907538], [19465960, 85195479], [91838759, 96236005], [31104000, 96020949], [48360424, 31512561], [19262995, 59771665], [84295790, 58913638], [2460266, 86790246], [45731568, 11346992], [5074965, 97876023], [50934976, 47917940], [84603999, 11708843], [82232425, 3428372], [19227930, 34774986], [22776736, 18719378], [42597053, 50241692], [94800608, 49407203], [89752728, 42880128], [20177674, 56109789], [56092327, 79116251], [23035151, 53559895], [37828729, 89228119], [3857674, 65163964], [3455843, 77175327], [22553631, 1669856], [31249712, 32175225], [9588375, 53365245], [36486975, 85488667], [53794384, 33372357], [63829962, 67718847], [67550312, 53457118], [40098204, 84769477], [85672369, 96032478], [95922526, 1262275], [55601004, 92941884], [66180452, 73120350], [89507787, 42974617], [45359077, 47006632], [56626799, 97157409], [2819739, 58619109], [73917115, 9513797], [45420771, 75647795], [18949989, 72115170], [20027844, 58320338], [52503258, 42799968], [15443513, 61021802], [13718179, 34443279], [35822955, 55545391], [8040658, 59539777], [35413529, 51308868], [77069032, 31299218], [26048884, 34831620], [50653332, 79863349], [19589760, 72799093], [62251298, 49265800], [91966186, 52141362], [17977616, 38877789], [89398005, 40683102], [99554819, 74534623], [52276341, 15271064], [69180581, 45683535], [96680716, 4850745], [87308060, 18779230], [32659410, 67835766], [66807015, 13436717], [50536045, 63924423], [91584872, 42534966], [32573334, 2622766], [13873916, 27337805], [38274847, 3946913], [77283684, 31909922], [58514941, 3851419], [64524697, 98519516], [66204412, 51390815], [54784464, 67120959], [30521414, 53069492], [94318653, 50863872], [60048350, 88074221], [13599750, 47058823], [45257840, 89818304], [60929269, 12073341], [16486078, 88838195], [50173924, 50100244], [77162743, 46985234], [98013590, 28291031], [43434874, 49393091], [94376105, 62647151], [42316482, 14578647], [92976669, 10858711], [16055417, 30504035], [96215885, 3182398], [80862539, 94524050], [95436646, 82941923], [64316624, 20192031], [70175494, 71939655], [44356066, 69673113], [18165684, 91367285], [27050714, 77838417], [83846337, 88248433], [62671444, 74152488], [62167053, 92264674], [35455797, 48387060], [31772847, 14754990], [29910439, 94104144], [5104362, 84991752], [69724848, 64432708], [37300497, 93800252], [58757233, 25765606], [60393421, 1375264], [33307310, 7641907], [62127618, 70573955], [38647667, 87627265], [13592360, 12099868], [24903890, 55016209], [49695595, 54108065], [97091485, 98075578], [98836598, 52387837], [19660779, 9128635], [73652297, 7889261], [51370186, 87618319], [81955671, 10614807], [96875844, 29641375], [27452182, 47199188], [6624991, 9717520], [91002607, 37455992], [3078594, 81096322], [39402610, 89359144], [30481467, 1526159], [7238571, 7432705], [19918704, 5629767], [35115183, 27791804], [29981453, 87428269], [67176136, 15567605], [4371211, 77516220], [99546017, 30512230], [27410670, 7136864], [68353729, 88552989], [54446227, 82864327], [15582531, 67660821], [18796190, 12245850], [79709219, 7731853], [59713609, 85048575], [99835176, 92315539], [51119333, 27457304], [3850653, 70052916], [18808725, 18687617], [50428732, 27874556], [70243173, 33507027], [12581893, 45679576], [73100576, 54265822], [68061032, 17930013], [30921015, 81208542], [63469647, 55393485], [31870720, 76209328], [45940746, 74991710], [45880612, 23536948], [15381554, 29907519], [33235531, 32704374], [39488379, 75140084], [46894743, 67729323], [70391636, 28133957], [4286114, 70530986], [62260228, 27116388], [27133380, 61819227], [93342202, 69057048], [72628410, 10904720], [75728586, 13586402], [43255471, 98115062], [94821226, 57723986], [16539497, 14513601], [66239364, 93641744], [4517270, 37280883], [96203837, 41401780], [3041904, 61691494], [9626576, 92335593], [42233386, 24268600], [6556415, 10960444], [64991771, 43653421], [57506099, 18001001], [63130799, 41682875], [52852460, 30955276], [50589798, 37651749], [60044902, 74200569], [33815907, 94046579], [27242843, 6569512], [29839575, 52934490], [35456406, 33157807], [47552226, 42194123], [80151756, 38285218], [36077287, 2854185], [5931234, 95903346], [32756307, 78446095], [50428844, 31508938], [16037326, 48765248], [3233409, 6343805], [21534537, 33135527], [44291681, 58327903], [31634187, 97574660], [76105817, 62566434], [46681698, 11738635], [24918349, 7380686], [35257079, 52191204], [86726321, 31241773], [35568413, 28165699], [8920159, 66739928], [97854200, 12313769], [46279603, 82857379], [68870081, 73231870], [56247161, 48871443], [44546274, 26675411], [56201955, 54046071], [4872525, 13111048], [79478084, 45568321], [80967871, 15107397], [60359357, 93482536], [98988079, 93195640], [27640535, 38822701], [37738026, 25919078], [83562133, 90618172], [67928966, 22804377], [64388168, 85895348], [84908782, 22260334], [89072577, 35499018], [94124954, 11466523], [89487185, 26800805], [78803126, 73844763], [27715729, 42290310], [44000278, 50257157], [3528502, 53517881], [3307251, 22524975], [35965626, 80327175], [31288072, 16203250], [76485814, 19741927], [92308799, 46582639], [65532590, 95878795], [35668379, 5227889], [77924265, 28840404], [55325791, 28262726], [19920907, 33607013], [78352963, 81607693], [71045519, 38227038], [3245781, 43731009], [31465902, 43173073], [30714585, 78570752], [98770932, 70814506], [3966259, 72856909], [92929712, 28811770], [44162949, 40900542], [31499825, 65517933], [65736232, 11372207], [7919558, 90477439], [48786522, 67004365], [54182044, 11547097], [13001134, 31390687], [30197257, 10005045], [8231428, 50745188], [67243885, 82547508], [32590722, 92677553], [49792807, 63795188], [32161805, 71412129], [81316191, 67004846], [91569174, 87495285], [58006228, 59907520], [62018522, 19496006], [94279586, 23912240], [77873796, 73003445], [86735807, 33820325], [21006581, 19906238], [58316041, 36974402], [14959223, 82503077], [30359773, 90668239], [14252356, 85581016], [90583447, 8761002], [83925230, 9067696], [21033380, 14863858], [23352528, 82759749], [6090697, 77800824], [18014654, 84699918], [55430615, 40044128], [92408497, 87231465], [65354460, 41466030], [27136821, 19346567], [36300692, 28769489], [49430713, 37425872], [86273049, 52885990], [12472202, 41889101], [32201556, 8969656], [21180404, 20816842], [72667147, 59255455], [54261841, 89979037], [30155124, 99134037], [6870044, 63118152], [19956477, 2056411], [23933715, 12057950], [44183151, 74719788], [3356299, 90568957], [62185589, 7683264], [1570025, 98025838], [47885683, 23747362], [24169301, 88857646], [89903143, 31601376], [29775426, 59462311], [52276406, 11404192], [21223170, 8438552], [59840933, 4229479], [91580808, 52139623], [95264904, 31901987], [48351853, 30561234], [41150610, 73474934], [6009726, 92753409], [23068927, 74604455], [68896416, 37911539], [98639577, 59678547], [36079046, 67742818], [29765285, 10314251], [42326665, 22221988], [17355783, 99763644], [76203969, 97030769], [55615171, 34219267], [26654986, 28231937], [60326224, 89822035], [67112096, 71349293], [22919078, 284829], [70199727, 76989438], [57771110, 29752549], [1336821, 66996765], [59921564, 8912325], [90665607, 51689851], [20457905, 68924873], [6394815, 49836887], [53798608, 14432476], [25476640, 63574503], [40313751, 7498989], [22772799, 80325342], [58575246, 51334993], [85422423, 4264885], [41712366, 84329137], [60391209, 78973669], [57552884, 68196902], [97257643, 33794195], [26265084, 51794436], [96216860, 57351596], [83910774, 11635104], [46300187, 90727989], [91430283, 18456133], [17799549, 30880359], [77651367, 26525731], [47559607, 4403088], [55583133, 31297897], [75495889, 39093765], [8829271, 15945667], [96549817, 96649753], [16335454, 39806673], [40893883, 85263320], [41159552, 9806040], [97178047, 2503995], [98359284, 24888575], [99407872, 39060445], [32616145, 36761279], [84916668, 4617142], [93768042, 91560160], [66956378, 7222877], [48522826, 20989138], [79950765, 3373164], [77242160, 84495602], [98608284, 83314246], [63247075, 60525448], [46019495, 45917957], [55671845, 97709062], [56535699, 47902149], [9287983, 67103888], [13528684, 82474491], [11566067, 52359829], [72192586, 6719584], [54986453, 40722380], [13832788, 24542513], [99919360, 19390836], [90111297, 96942999], [87396492, 15924752], [10468111, 51741496], [95411494, 60312633], [43724674, 7681373], [98067104, 47359594], [51742256, 68919110], [23920232, 11822062], [24581961, 75350938], [14300999, 66555653], [19795649, 6639248], [8130424, 58895814], [54488544, 79410005], [83683406, 62383292], [80021997, 50634823], [31044523, 30297334], [78666675, 26928019], [72167382, 37100287], [69097428, 29649719], [10470999, 65297746], [91088513, 15627949], [83223879, 62792705], [18059579, 20626025], [16516972, 21151272], [37606436, 67764224], [13677818, 35206234], [91961439, 58600590], [59773673, 50245776], [90334839, 21986215], [43143643, 87061534], [86554179, 62710004], [15670201, 91168240], [27920835, 62314820], [57549116, 78554775], [20270213, 41055251], [46805580, 67545742], [64201075, 64883738], [87824177, 40328016], [89129328, 82307737], [35526190, 81296756], [54710056, 44442176], [70852301, 8902855], [70108661, 53470292], [35446348, 35366719], [15348729, 42760927], [44334928, 45875718], [64318846, 64802454], [130008, 40437660], [46425147, 81899235], [41840305, 77966964], [3111369, 3391280], [67833612, 22376543], [82314272, 17409637], [92100817, 49229532], [23344347, 32896858], [11913590, 30082658], [64471137, 80248467], [91868192, 14785952], [79249350, 90329374], [51810642, 33190061], [58441939, 48081748], [75462148, 34768185], [68561148, 68263175], [14033349, 82666747], [43184087, 85856891], [767713, 4067485], [12156304, 20931338], [1538847, 5375622], [62523951, 35221816], [9533984, 51787344], [19832164, 59568313], [16601995, 13958343], [97316273, 77272860], [76515049, 30041353], [28969744, 93908601], [96228519, 11559437], [55395888, 52223305], [50980690, 71554226], [30521192, 86746652], [56385926, 34710944], [99639403, 19002116], [90167967, 9394541], [6131538, 8895407], [50985462, 49668712], [90597839, 58504009], [90600683, 55646022], [59951557, 51994039], [93732296, 77723659], [7626768, 1901900], [25427223, 64390513], [27178119, 50865771], [88489130, 46374938], [80048853, 49907464], [83219156, 55608751], [76277596, 36366071], [70628673, 77441278], [51455070, 64077957], [17327107, 8012419], [78146102, 20055110], [36338181, 77777387], [8529584, 71131102], [8091243, 96228920], [68452364, 27591749], [32245143, 26439455], [12291495, 46309054], [73617228, 60934810], [1338833, 86149786], [64992364, 49466837], [28856588, 36448822], [77406824, 67849615], [52488940, 63171275], [96768521, 16105525], [78073849, 99727847], [38479164, 45396338], [24952691, 61243067], [53120719, 66056085], [25100041, 17875108], [15062614, 92572582], [26007798, 40971795], [28932577, 42920502], [30825908, 81774002], [97215931, 71226374], [75883367, 39527618], [79872492, 88523835], [49055655, 65974123], [81976384, 68432939], [69266440, 65772244], [10968307, 71292519], [7185678, 17317246], [15436612, 30344334], [85146655, 75544891], [60738940, 27007999], [7189487, 55741164], [83838804, 46404846], [90894819, 89243582], [79690085, 89378330], [28368469, 42164503], [26337002, 86964043], [90636963, 51445895], [27844239, 85731316], [22564354, 68877830], [27479668, 83242899], [5599716, 43658259], [31232511, 98328621], [17342230, 84464856], [66855033, 18355146], [17006683, 344158], [38068412, 79389044], [83594991, 85876240], [56865152, 74154284], [21336966, 45792483], [11583667, 34271523], [18387228, 84063838], [62653575, 89386088], [76433458, 85041992], [48288794, 80567863], [38668049, 76495857], [5207317, 45609280], [46482570, 16445309], [44804050, 38390305], [22974840, 45301023], [20322135, 43678874], [17152811, 95350407], [38280391, 67946300], [48297481, 53354081], [39097962, 77638407], [28269836, 62848779], [41933464, 56545958], [83532344, 70745480], [3327920, 56668823], [93500876, 33445067], [98261293, 6052949], [48231147, 29068614], [38108782, 29047622], [81962889, 93729260], [89473440, 12487490], [29306121, 15775703], [89323059, 77125225], [12641809, 42568252], [11070992, 20761053], [88412318, 99442495], [79324298, 30418336], [55595766, 39979691], [76724992, 12206355], [68436720, 713731], [66430585, 51987137], [37972532, 1812232], [54578060, 70601175], [23584949, 58459711], [12599825, 30620793], [208860, 87923484], [14839157, 61892998], [97227975, 37351300], [45222607, 61559567], [82498707, 27260361], [25045071, 41482907], [88009498, 98382020], [25937665, 34469656], [196494, 82527802], [60849349, 6432016], [78571443, 32005686], [84582158, 84412244], [56659624, 95069912], [88078027, 95287100], [7502323, 37847507], [96294905, 80109278], [84421407, 70832646], [13330067, 60113601], [18146948, 59753725], [50485864, 40996931], [343009, 6336098], [23067975, 21907678], [9267413, 23227204], [76392773, 42995673], [47424609, 57477632], [33010944, 8130030], [83686883, 90247152], [15449654, 64054917], [82035402, 77140090], [92407474, 75216565], [2777696, 13787258], [72236759, 7458118], [17411756, 18936244], [1613263, 37275782], [54824006, 67957971], [86134578, 92855489], [37411675, 71639809], [17213857, 86380271], [76209727, 73846545], [91629705, 19057632], [97554604, 24869677], [612283, 70184506], [33369407, 43631078], [58171902, 17767850], [93564831, 24062233], [16337834, 64744824], [30713185, 19047383], [95068555, 33018180], [1195962, 63089166], [91266064, 9350816], [2369468, 47430786], [793689, 89557376], [15540179, 8697420], [21401762, 6224720], [26416135, 93030339], [17860177, 61716459], [76120443, 84192762], [32194894, 67503482], [50888032, 61216458], [99873555, 79066367], [17607390, 99134730], [5718059, 34504738], [77033446, 3704998], [850354, 40633692], [79267048, 661074], [24207568, 8549460], [50896847, 77293611], [64081865, 73249618], [31325882, 30595951], [78925917, 37559192], [99268995, 84691045], [80778721, 22591600], [14615253, 44793892], [5910745, 1507822], [90043968, 76946033], [8673848, 68005677], [9202378, 52022461], [54233825, 47940998], [44858778, 70823604], [988244, 24737784], [4807718, 52322865], [24817878, 90542010], [47138628, 5044613], [94922056, 14175811], [58714004, 74935001], [5941731, 72182658], [48470283, 73310184], [4790618, 11552181], [98279298, 63491204], [67585058, 13116473], [71888808, 98458251], [41868250, 9404762], [82306637, 86377239], [1096314, 59735901], [88231841, 44370245], [59391823, 37449419], [26707821, 44116014], [85162440, 5702193], [34120514, 21038308], [41278138, 54431351], [18571280, 92246461], [48135887, 26716704], [97957190, 28100979], [86539650, 47309701], [21288366, 71426194], [15444715, 24773721], [97665241, 33776363], [90507665, 16194527], [25837452, 49565254], [45740538, 49748987], [68580030, 35122458], [83129360, 22894041], [22952065, 86246879], [36470103, 27064997], [98731386, 5839585], [19229834, 96182596], [65418841, 41982973], [60294405, 47547268], [52443432, 16483948], [36797289, 26333090], [30616378, 33778009], [62279682, 43157754], [54208614, 94263786], [69034585, 39134847], [57349371, 54789140], [55484107, 57571370], [6161538, 93696293], [92830988, 5705251], [51523681, 6291408], [14362210, 31410703], [81403447, 88892367], [45365759, 93904897], [79695042, 26279826], [66564356, 53784913], [5606611, 73902456], [76161483, 75238829], [76335370, 15588972], [83492615, 75723932], [71264755, 21316970], [40880463, 94746483], [21830206, 83627197], [71937309, 66282003], [10258644, 2647301], [74803188, 44521301], [53316543, 30658978], [37830184, 18804890], [93207059, 71243321], [58247336, 54440958], [69966286, 69067908], [40341477, 7997693], [58610133, 34335629], [77753565, 34958642], [61754560, 81006235], [19628190, 91084545], [85236190, 44643448], [68190381, 16600689], [46719126, 91453198], [27980909, 83030279], [77990444, 45329116], [67753397, 148683], [52183175, 18211683], [67799401, 44906357], [97120001, 7818827], [66545970, 24950152], [1119183, 38288502], [24282195, 97110315], [26575886, 80832833], [2869463, 42692429], [40153012, 34048899], [33204173, 49840709], [53655589, 25096743], [26253938, 79429388], [94725685, 61603046], [92210366, 58836114], [44925888, 48760093], [18177568, 14079535], [38977394, 17007146], [69017419, 31178466], [21983385, 18810720], [57369246, 63484774], [82529682, 16058515], [86132186, 9503780], [97455554, 20485244], [24304470, 78641470], [72960957, 7208290], [65031990, 4666673], [98683174, 7112715], [11606219, 44748975], [70380439, 99802627], [89413630, 62016854], [20755577, 8112652], [80658089, 41994891], [72855425, 60530441], [63779324, 9087505], [81432086, 26652394], [62388777, 15416078], [82259882, 79598068], [2742617, 70282315], [51967761, 78659227], [90208881, 69913496], [40249500, 25748340], [44238038, 41189025], [8321588, 12711323], [98493436, 48654050], [95606732, 75185625], [22753716, 57540808], [87050839, 2862983], [11789497, 17838645], [88515489, 51015495], [67190204, 80940536], [34245708, 79112751], [21874408, 45144692], [49992224, 92062811], [68117225, 16421751], [13781190, 22974034], [50751625, 45576567], [46699426, 50076663], [71205262, 5274710], [43465332, 69894884], [91081875, 72762944], [5918853, 1946385], [24281715, 43610190], [85954206, 4825661], [80486471, 47223435], [30816905, 6341345], [28003493, 91050390], [40924036, 77617317], [51441739, 88540498], [51567595, 55031409], [61150024, 97875660], [38815985, 92686948], [27505847, 75495789], [72921768, 76898772], [99785252, 59060182], [21161596, 78181330], [3001979, 98964396], [33847451, 39553131], [55906159, 49495930], [22521042, 49425521], [6034480, 12559745], [14481453, 6715460], [87744689, 15909275], [51614217, 69305425], [38022571, 53788293], [30535337, 9868159], [37244894, 9800465], [81101251, 67602437], [71066183, 8728574], [58386817, 82768155], [10285601, 51221669], [37298333, 91454086], [21074989, 41694740], [51330159, 71691279], [85982220, 64810151], [3558153, 2022176], [78189393, 5496333], [14794890, 12287121], [94989096, 49904246], [18436155, 36298666], [65924404, 64579559], [57234864, 75802281], [7055685, 52990308], [70488779, 58431151], [28672141, 80389456], [20309074, 94490088], [75870455, 13152178], [24801688, 10028669], [82763004, 48330148], [36688795, 53960156], [10156874, 43141604], [88131346, 14991335], [40678755, 88331297], [68730519, 78060076], [62145084, 22651631], [9219481, 98768795], [73403670, 63535051], [2330916, 2427830], [86900174, 88828625], [9773255, 4494331], [89142396, 69570069], [62477813, 96109057], [94184831, 61076868], [51124299, 1416754], [24617430, 982556], [89530123, 43933059], [81296717, 21661066], [11857395, 96604899], [91813670, 10934318], [24278640, 23956080], [70942827, 25697285], [15415742, 10656734], [45278955, 66951746], [75372008, 94656760], [3729542, 34609290], [53059617, 2585858], [48206827, 79899283], [86494679, 89888918], [62449984, 45710949], [90168549, 22597578], [67997792, 80219163], [43964369, 71510951], [90858570, 4370786], [8058199, 5911243], [77915606, 12815177], [12473978, 4873465], [67758077, 64454222], [31317830, 73463847], [45467791, 57168103], [33727131, 57085300], [6844601, 99627500], [67069965, 76341855], [40300482, 99669065], [35729099, 18927614], [74937397, 88177700], [74515455, 41167868], [34594439, 70970330], [61026171, 29313908], [27880149, 78141705], [64743099, 64700757], [40483947, 22951441], [97199, 41417874], [76771438, 17330599], [38344142, 76132424], [78971995, 10782003], [88422129, 40630391], [72375545, 54558062], [57534828, 89613030], [17930510, 67145310], [85758501, 85344173], [12643642, 40549851], [77794533, 40553074], [43376953, 50589688], [94661422, 37048999], [75215573, 61077962], [59452358, 47723123], [22197775, 22310695], [97574739, 81691799], [65849366, 61570518], [73518132, 84318250], [87541386, 70861979], [26010106, 16195933], [63106998, 27233232], [92932111, 30852027], [67461625, 84191732], [19678420, 71888897], [84687436, 51911375], [95711783, 43659790], [6253933, 846872], [89237680, 23894417], [3830703, 40933656], [30302355, 86111906], [8237268, 38217177], [16026739, 22632254], [15846267, 95999334], [94764047, 54194431], [31728228, 66050992], [89852957, 49335332], [63710540, 36462661], [51923615, 47938706], [9905347, 1510772], [31592946, 78150601], [42939740, 1121385], [99758467, 46784337], [15179919, 58979623], [35551384, 26726547], [86195452, 45720055], [97856883, 68370680], [21402452, 82516211], [13844842, 49059363], [4097281, 74800273], [38151921, 6165646], [2863723, 28285164], [87195400, 2946809], [42715978, 54674428], [48055647, 58918662], [21454758, 84382821], [23408679, 69720351], [92462043, 59240047], [44791506, 55401533], [7206145, 7356773], [85245144, 43251768], [39135106, 64163041], [67143508, 4759912], [26324514, 50043291], [27406815, 18560553], [31160590, 9479538], [12657426, 49952904], [13527881, 23798851], [69173852, 29414629], [907407, 86436402], [50994079, 91221387], [79157909, 63285060], [20314320, 56597522], [57118186, 36590397], [70588645, 9984059], [81235754, 11010015], [41906328, 66121819], [81701208, 24837417], [18099129, 41967043], [93218312, 58331561], [25836423, 20572354], [71251298, 80871733], [67694584, 59324196], [86794354, 51739702], [26685011, 41129689], [1999628, 74812724], [19723621, 87630752], [34652078, 30205275], [61840435, 83583413], [89682856, 2442079], [19090006, 84003112], [57545388, 45527498], [76970291, 73626218], [8478814, 42117631], [56822288, 86633574], [33192038, 39231641], [35017250, 82174389], [93641043, 63236136], [28265378, 27930428], [90455282, 61044231], [77261127, 50396907], [57288800, 5748805], [25106987, 48909218], [92605749, 31067286], [98980429, 97488919], [98295643, 89276667], [24526615, 48409760], [85645090, 54278699], [72420904, 41071142], [17324985, 9041255], [55760577, 95022026], [20394041, 87601988], [44926759, 72966390], [37013505, 7380639], [54902089, 39680762], [67505039, 9563678], [14062455, 95707976], [65690795, 26630483], [3708172, 95904833], [88777288, 30434239], [18553905, 296672], [5344375, 42658242], [63560085, 35180364], [60890467, 35937876], [18720841, 82334595], [74757248, 4194996], [47820819, 25603337], [90490385, 67160630], [9651351, 48270562], [86179707, 89230411], [43093407, 66770082], [27599137, 97691861], [52720946, 95403875], [72068344, 46106983], [72621499, 44287780], [23256417, 50069749], [68555349, 68439036], [19658723, 92144434], [90545623, 47203912], [14917388, 97326943], [23680871, 78404474], [16211441, 87834890], [49158133, 35654123], [21120566, 91441098], [70814317, 93001159], [30566721, 27731482], [36119546, 16399918], [84088953, 30748688], [40980482, 68363882], [73394149, 83869136], [27589554, 79105670], [40344310, 24997524], [34648490, 29406540], [37460373, 24350661], [42525215, 62502194], [56931740, 13967242], [834089, 46342979], [53055206, 11082939], [38161170, 90703532], [4092058, 37663190], [99809729, 69770941], [60739345, 56490070], [15645413, 68831404], [39725196, 94663408], [14254463, 22675678], [42422453, 22228845], [23813691, 50831799], [49812551, 52090810], [4224023, 64302833], [19878490, 8724061], [15274388, 33059724], [21772981, 29559587], [19315390, 57268381], [23216936, 31354336], [25261473, 89926284], [46778186, 73293636], [79497311, 29233905], [66471480, 76368077], [83908046, 68065931], [28738611, 85848220], [30524724, 69476953], [6532148, 64102715], [1012348, 71250503], [46690470, 11685410], [75567175, 38293929], [85540279, 97448213], [9033063, 96288088], [2687575, 2713783], [22496375, 6446346], [7981238, 18795614], [13225065, 68543760], [47808601, 76882903], [60824103, 8266484], [6732091, 53069920], [12219860, 27366522], [87377065, 55591521], [34838875, 59301047], [37252359, 89509839], [27415820, 75195285], [66254950, 20616007], [78269616, 54627841], [36882178, 18110562], [5414973, 90142543], [39614788, 45937499], [74746165, 22329374], [20155984, 20603738], [80690131, 42970564], [7440118, 60993138], [90370387, 51481289], [79175843, 8958780], [43001483, 55498529], [10260723, 54521158], [20559632, 32385955], [10867666, 41031255], [85606354, 99336767], [95448456, 90283816], [84457873, 10419562], [97309045, 19694181], [68070570, 36075860], [89090092, 41941597], [78390521, 32275948], [73007762, 69429680], [65442170, 76791955], [37443548, 44971143], [46856219, 69298129], [57973613, 73170161], [60327261, 63668176], [50938149, 28892862], [51775347, 95218783], [28167896, 83490440], [49660352, 43689362], [66027351, 51261666], [69498707, 75922879], [45807447, 79736477], [86450644, 96922168], [51682281, 10436217], [77388347, 7634577], [29998281, 49836248], [25681875, 15726738], [77693860, 6090787], [38300792, 74770862], [14306314, 60752689], [78804476, 4179030], [13561824, 44934403], [96950360, 16250567], [51924508, 2643716], [20593114, 53157354], [4484867, 22029525], [83942119, 69006449], [86434189, 51686750], [53494811, 39233484], [44326665, 16852910], [1684537, 31687398], [19731147, 62819109], [5898934, 11858876], [97434326, 66077111], [49114925, 29212879], [60754811, 8587938], [20267461, 37101168], [49184311, 18864487], [14408544, 21776258], [55773749, 67932663], [40738095, 72849387], [57848657, 7846180], [37224112, 85501802], [16431511, 50642841], [3425875, 13775206], [49562331, 10552233], [78738724, 41646443], [36173065, 70417549], [53667931, 86073950], [86450073, 17221136], [45014869, 89813676], [724536, 94381533], [38454220, 2095543], [21875911, 56738253], [5812699, 60488346], [61518833, 69958171], [3087981, 74207186], [69357920, 29892015], [20123776, 94336526], [35701068, 7350492], [11609344, 69829860], [21941427, 6859767], [29911405, 6944843], [49914451, 85710695], [69707557, 17974861], [79875421, 82321189], [44630112, 65668482], [85658332, 25786907], [90987157, 13880173], [63017646, 26815258], [58906468, 55416930], [55935486, 53260400], [92514615, 70499417], [94731353, 18241933], [31503446, 84901393], [59881470, 66579148], [45427318, 91467525], [7569955, 88566551], [27650307, 70860938], [53681738, 5982808], [17752195, 78919318], [41884960, 86017753], [22678039, 10827916], [54514323, 2125262], [78413206, 48436051], [2188043, 74671948], [80347159, 30229865], [33624947, 7884820], [67018798, 25290832], [70522832, 37883200], [26979491, 23129268], [97323474, 64266030], [63438120, 52525057], [21904624, 6987300], [55471983, 1148062], [88863226, 90841198], [34946018, 26290194], [56990679, 58483358], [12048443, 39608781], [374950, 86640562], [8169341, 99007888], [87406128, 61004581], [30647206, 84367754], [2144833, 507902], [68001927, 18467522], [98583327, 45712454], [75026107, 86003923], [44418135, 26493046], [83703650, 59094540], [16728284, 74997290], [65927732, 71157301], [13943497, 9006877], [6639949, 27836081], [68156154, 6264525], [53151604, 76971239], [71636479, 70046131], [21028257, 9524515], [94174650, 26625896], [26173554, 19948440], [68904248, 98430664], [26018316, 84374887], [93431336, 55224361], [97596418, 74426823], [48356364, 46486021], [68207734, 23529902], [92235893, 66493937], [23672811, 62597024], [68634216, 77567382], [1468028, 79194781], [2992373, 40138199], [59663354, 54615116], [96668716, 91657349], [10454179, 88684279], [81131476, 87803620], [74107222, 89892819], [401345, 83425123], [26878499, 11966128], [85217229, 29977906], [33611574, 85673583], [68327299, 23548479], [36862631, 49399148], [54398925, 87938539], [54654382, 89042779], [46196496, 43464477], [46430849, 81935008], [25927923, 12601061], [4440721, 61542327], [88998690, 64730725], [33275966, 21789709], [3935986, 83087895], [46600935, 33416609], [83812630, 21256825], [53587536, 48131467], [18108332, 58545615], [14227633, 24340445], [87391402, 41021596], [92548080, 45511912], [2229006, 90733819], [92389480, 56691181], [67529881, 76701609], [32261826, 78083433], [26078760, 21476315], [58407475, 78565835], [78153505, 50178402], [4560037, 69826236], [25705847, 64342201], [41090694, 56440321], [74664828, 68583574], [71387381, 14163001], [68354254, 31138627], [72948308, 66840775], [11358991, 69781101], [55363046, 87392303], [75967229, 58742129], [92226693, 54386982], [57196722, 81680584], [90795503, 56037506], [9510752, 96465948], [23338358, 93407860], [87349487, 46070731], [31355818, 96040352], [913269, 73471582], [23043098, 49020691], [97182082, 62769124], [36947772, 34372758], [710652, 28786832], [32866949, 59858260], [19128641, 75916286], [39071103, 42979087], [2288961, 58727512], [75279395, 92928865], [5490592, 80982696], [75187476, 73943805], [56173008, 52963280], [28667120, 22148477], [22979149, 64562529], [79788473, 2063073], [36398508, 22722358], [65836898, 34044435], [57098078, 39976015], [12012051, 31466560], [85503857, 62640681], [1881888, 92651106], [50627404, 26120518], [48843251, 68133658], [26277171, 63776273], [16280856, 41992408], [79016153, 76852393], [27103191, 44423861], [18064817, 94973966], [10285184, 73231060], [63878805, 45228875], [70260895, 50824016], [78017762, 35205733], [52682782, 55125404], [7710934, 79778067], [57293835, 1592313], [48422410, 45934180], [77941041, 99605590], [97781396, 76931739], [72320152, 72150238], [22194128, 3710884], [33079121, 47863172], [48872387, 33940871], [17918241, 92967906], [97202580, 66172309], [32492227, 77265277], [32333717, 41538404], [39401669, 8819897], [45786745, 69686246], [66386293, 60213934], [9260514, 80246645], [16269968, 25787290], [41315797, 39656126], [53182305, 66825316], [39908970, 52605469], [58868155, 48539396], [1264544, 15899873], [44600746, 14934938], [61111434, 10629866], [81957439, 92513215], [34952495, 29060451], [75757910, 32112830], [61927917, 22889320], [63187631, 72438945], [81069930, 50966078], [65291205, 44549338], [36098018, 28550567], [12848298, 8187609], [73469753, 7054210], [62250327, 73652723], [65948888, 48276082], [59990562, 34606308], [95283741, 8620197], [49954052, 5916633], [48753870, 37520128], [39609708, 7039694], [49910986, 91165290], [24500094, 27261144], [85076949, 47079816], [52675327, 63597245], [63168405, 87490335], [20435092, 76725480], [63815355, 44903913], [83767060, 84409267], [64939584, 11295576], [44911984, 87418818], [65008014, 69391416], [78149009, 89969612], [47524061, 72446977], [57542332, 51306206], [26722434, 70760498], [98259014, 627623], [81648631, 26456597], [41523729, 43487599], [58321338, 6853609], [31758727, 33010514], [98155003, 53380930], [21938493, 86898691], [98280589, 37019694], [36631954, 74832759], [79841801, 99903508], [87366998, 59227013], [28406725, 55759953], [14628863, 62383313], [19797287, 66579088], [63798446, 81843806], [66093637, 77150867], [87153143, 54427479], [5386580, 36563276], [91813427, 91370877], [80582923, 64281124], [70868407, 98253701], [61776598, 4858503], [36679447, 54249521], [59149053, 34127292], [89354407, 78978348], [56562134, 25633916], [45537919, 94521267], [94906475, 76325518], [33554777, 88589687], [37703497, 86149122], [41616614, 98960980], [21334201, 79797628], [44367698, 27595070], [59708470, 74120867], [29154796, 6600256], [42402902, 84295170], [70354364, 88659184], [87224203, 55199638], [23538933, 93438195], [96317598, 84629941], [43055727, 39199824], [9014856, 65153644], [80608084, 90853588], [13832069, 61357935], [56198705, 51542895], [37898170, 88527875], [11715027, 80433543], [37033031, 15272328], [90708406, 98921231], [11378117, 69418178], [14015429, 92024114], [96002332, 19901790], [26483112, 29814286], [25383473, 2911216], [47889628, 54833588], [5721129, 29864235], [76188335, 48066679], [86490661, 83411176], [35027404, 28690624], [88208641, 3119573], [49523389, 23541619], [39062888, 10352626], [41973819, 56898957], [37256875, 76963677], [1595215, 99523640], [57092176, 3233776], [75784222, 82811678], [86856997, 23822925], [36612364, 34896544], [89576188, 55794589], [32259613, 36437420], [61342247, 21131055], [79074549, 27055543], [65446157, 13760756], [70222659, 52473739], [13989684, 8679682], [28044181, 93141242], [42098380, 62852698], [55631849, 83933949], [5874321, 18714286], [1284141, 67371176], [6295538, 65700095], [7262404, 23041978], [23440329, 91294488], [91597224, 56340030], [6777067, 64982243], [38553308, 97640742], [63017918, 27640060], [18604500, 36973622], [90323684, 62715144], [70150420, 1800418], [41222101, 2477020], [20468601, 60923749], [49026844, 39790682], [42617217, 30201657], [99967992, 98624249], [7596469, 95547359], [44696068, 62899641], [23179712, 84976525], [35767417, 97991143], [4790769, 8585680], [52509974, 23932932], [92797340, 77544920], [76403213, 42061714], [22533760, 41667320], [274677, 55898246], [82107900, 43695506], [92746259, 41386580], [67777846, 68072119], [3150127, 33366946], [90644942, 22216616], [69150806, 18496141], [41954825, 31321147], [84731752, 46846091], [45735301, 68554210], [20641914, 51471787], [11068066, 48725523], [64512983, 8316377], [79780863, 71227179], [58502380, 14178791], [81041570, 87297627], [46018749, 54712429], [76015671, 7508331], [46123268, 96989129], [79500249, 56542861], [17840372, 65263770], [48427872, 26112773], [74210718, 70123200], [90546515, 72860305], [86554106, 69963274], [59832035, 67528374], [14141433, 85608426], [21004303, 38136864], [20401390, 10440619], [61737957, 74815590], [64073495, 79280896], [95304548, 85728972], [88183912, 52707021], [20068019, 72746695], [64690440, 60280111], [35296292, 67227087], [56416458, 67135942], [10667458, 49604960], [24729031, 47965801], [76442730, 83629332], [69656605, 58999491], [12397380, 71042897], [84039326, 71818461], [60672225, 58988286], [68438723, 41133474], [12789110, 22082797], [33591415, 29314527], [49019384, 73710214], [22374020, 48654306], [99736998, 89804561], [17767210, 5718272], [16409442, 79104181], [56042445, 1921158], [51591684, 84775713], [60747941, 92754173], [16684335, 7449955], [61605064, 62603129], [65639303, 99203799], [32567695, 9459022], [24060841, 48199210], [94620602, 80603040], [87006730, 70600326], [34265171, 76727570], [29274492, 12389266], [36034776, 77402962], [36374605, 15234724], [58559246, 10741696], [6704825, 39740902], [4870976, 98039244], [84907171, 4997763], [48142125, 97349168], [42839994, 94884981], [15960578, 79696798], [29509812, 8869887], [19236567, 81730420], [42819287, 99714179], [42561665, 98094919], [53230299, 46454307], [61311078, 70554786], [30758449, 10579963], [29230502, 75857316], [88641374, 28136625], [41530556, 68161416], [46617172, 53771157], [90021945, 41041168], [76147732, 40862508], [73447559, 55836710], [66862220, 52240798], [35203895, 6674250], [22884638, 15570937], [24204585, 87269174], [77026595, 88228365], [60812177, 65787668], [84418821, 12499809], [48144358, 45397989], [66451983, 75053972], [50304814, 94548654], [71283988, 78323858], [60652330, 46143078], [96648008, 81529249], [90186819, 49971128], [67804323, 10613160], [5218777, 5206773], [19564190, 99162881], [7645612, 46175176], [55457833, 82322458], [41893454, 71423513], [31882679, 92416775], [45787457, 24877855], [64161083, 64963879], [6630229, 54753037], [88388151, 48694679], [13108062, 59688390], [7247395, 81132392], [57452313, 60920450], [68904919, 36011558], [19058715, 60384207], [72321653, 80724395], [37226766, 97275571], [48539583, 30264902], [28275524, 46809224], [81692699, 78639173], [18857036, 18292735], [67251828, 86977063], [39472072, 54175604], [59960851, 79603968], [36705153, 7573944], [49922841, 11658494], [66629498, 94446262], [33855333, 13538590], [44122856, 14155604], [63395394, 47917125], [34829610, 38226905], [66474099, 13898831], [27790781, 4170876], [42730364, 5336671], [58406944, 20150266], [16187444, 5055785], [91851523, 88689168], [47614903, 69171155], [92729114, 28958785], [13526473, 98134587], [27297693, 2170613], [13107548, 82582775], [42449732, 36985643], [79380387, 83835332], [14657007, 71553478], [40896091, 96389362], [62217383, 93471354], [63621815, 68421736], [78925813, 21297679], [88741032, 42198385], [46128684, 64475854], [47726235, 40001817], [18489698, 48377730], [68510639, 21202381], [4713388, 70368285], [56152374, 53101998], [17684914, 14722548], [76208191, 658046], [30384449, 6789704], [18541482, 35616910], [14311072, 34080864], [15137525, 29303479], [59666225, 84237555], [94752881, 81927641], [88680896, 74966006], [69365526, 73739268], [81602871, 32849665], [35280587, 86510784], [124552, 28594916], [78013482, 92883716], [45562590, 65987120], [71104392, 23857301], [6359028, 59202597], [69948583, 67682209], [1997154, 97105450], [72240025, 86772705], [46735579, 72076475], [96874292, 81055754], [21023790, 61231302], [17816522, 98238080], [35907620, 38105945], [67140322, 39015834], [24651636, 47494868], [99970771, 57622503], [26546598, 29247058], [21577755, 98209479], [53724957, 98397932], [78646732, 24406621], [22086732, 24338168], [15433192, 58174800], [66201426, 63322416], [34111439, 76366078], [95081353, 79898459], [18613510, 78080185], [92907217, 80421413], [19607462, 19397576], [87075065, 73364081], [11097507, 96818092], [37841616, 6455894], [5699326, 29340714], [25665, 69372149], [98661054, 82673739], [64698237, 18486525], [24961090, 81025488], [41075542, 86217498], [434302, 24959788], [58546814, 93195607], [67981822, 97368088], [11943488, 77793221], [52263400, 87422298], [6557415, 31916348], [9563160, 32018825], [50265604, 8880827], [42098517, 59735238], [65610090, 85545616], [65121789, 24087797], [12902440, 9094468], [83108516, 11541252], [31696257, 63800437], [21416851, 98451867], [2505031, 21091309], [48440359, 81566087], [12900853, 50635627], [46826212, 93442969], [64751723, 8797603], [51733624, 8393075], [6327976, 41067628], [96310770, 53814589], [45467089, 31441213], [89558049, 92010112], [75325071, 68089037], [16905365, 63711427], [93936652, 30597921], [32886635, 7770527], [19574536, 36619266], [91291320, 89044315], [16494551, 75845220], [81947484, 17474624], [99760707, 89824044], [72261610, 64882367], [29201270, 77185022], [88700689, 4749913], [46849144, 91754993], [3825107, 99589531], [78208871, 13588662], [20249384, 41891246], [40679645, 88956381], [51091982, 22469471], [73102230, 15850339], [21617172, 16487221], [43224863, 14643057], [39432434, 56180441], [37651111, 20987956], [7843417, 38815588], [9508332, 54080776], [10073831, 12855443], [60596682, 72827163], [52879180, 74818935], [39888299, 47303120], [1581092, 63128227], [73416021, 43268324], [68816925, 60441952], [99158129, 41182997], [23725265, 3606900], [61114202, 95138765], [85370044, 17199192], [12410746, 57995943], [61599804, 18734948], [64978663, 57195839], [61466648, 88270575], [53081766, 76555082], [68439056, 52854915], [41743047, 73016569], [47306292, 35715081], [13509134, 75895914], [32348759, 71098262], [92867849, 63826094], [98491851, 2271684], [81236532, 20590867], [53147867, 66396255], [71401677, 40119906], [43280618, 86083385], [82790154, 93252353], [53617665, 98165934], [84689625, 16692345], [70591358, 58990385], [43287623, 96817161], [98776873, 64848305], [71760138, 45271529], [4631019, 29311985], [62911835, 58431483], [21529877, 65127751], [53011938, 69126380], [35132658, 41057887], [51096522, 72385190], [89809304, 26879674], [47353996, 10243489], [80562516, 44247294], [6828985, 20492743], [87933049, 24873783], [72252690, 84377013], [27535297, 43403605], [47927341, 13020720], [81751565, 63812319], [70856007, 90067266], [84003383, 27037656], [88046295, 42974952], [54554530, 5000300], [39837542, 63203293], [96365997, 8221054], [17665716, 39745766], [35015426, 23732688], [48685006, 14361463], [77855692, 80907390], [33687763, 14496264], [35731260, 71955880], [47807502, 95355305], [49969042, 84908202], [96909798, 22176991], [49936509, 66641386], [76185821, 91724453], [15647670, 30641487], [17516290, 88118010], [29712214, 86424929], [80114575, 808630], [79005473, 71010694], [30385652, 28795119], [68019351, 45459938], [66787015, 18162542], [28591451, 52138421], [30237085, 58577696], [31262249, 1776682], [85006352, 30198597], [56542832, 32406406], [33393072, 14899798], [39300303, 77688044], [66035764, 46670876], [46200452, 60585882], [60139831, 75306252], [31224681, 17087606], [23411896, 64116376], [48887240, 54137191], [9889469, 11179491], [79002942, 94704658], [70400171, 88000674], [4120159, 65716805], [18889280, 82944594], [59771249, 58866284], [21255487, 56411721], [97021767, 45329523], [72931190, 13476410], [87211094, 12578618], [53511758, 24894626], [97841850, 96866023], [26424470, 45640044], [17707478, 67318054], [75263731, 1161214], [49101588, 41015473], [30040595, 21420441], [37732788, 27812687], [48150071, 13032240], [99920122, 887996], [53620848, 81620872], [42812254, 62518719], [9580694, 43904298], [12478455, 26899534], [32473272, 61257999], [57918594, 47423910], [83941552, 26514382], [57515433, 56992438], [79866500, 96546866], [99451387, 8688198], [18297725, 58815244], [2515996, 61806013], [23280712, 67008222], [25915969, 52360100], [48624742, 41575700], [42032320, 97231380], [76348324, 59751793], [8185845, 99521383], [22463774, 68749860], [45376561, 84440116], [84392886, 60593752], [60566739, 65472059], [4490872, 46456959], [91000460, 12488563], [19448158, 47904157], [99517623, 19294158], [25126504, 92810352], [70393309, 89418141], [92883812, 9335372], [89105197, 12515482], [19869040, 15302527], [52163069, 38247063], [45107218, 32713177], [64262073, 28811723], [98852797, 98962871], [71007130, 66223833], [23894529, 45217786], [10422689, 68401942], [51484096, 93671163], [59566654, 93607481], [11239798, 62357188], [34938661, 6211412], [35693489, 51918682], [18690672, 66050871], [21354843, 57398941], [22680337, 25202659], [60747707, 90102993], [79037470, 15113904], [79134975, 13651810], [15858054, 84443473], [82251197, 52595210], [40841605, 74675894], [22186123, 43766903], [7375880, 36647296], [18997866, 25043114], [83757301, 95829344], [54804141, 50745162], [9462949, 60988282], [42264314, 8624847], [38834669, 76268736], [87579634, 16968881], [80075345, 93165151], [54859368, 95455292], [84186331, 42449495], [9821855, 8906780], [19938844, 32141217], [13954662, 52540224], [36621785, 21131459], [15898768, 16301369], [76372497, 74126847], [97206813, 27996048], [57191682, 68835591], [797820, 95554272], [19877998, 18011983], [77458323, 10877368], [98277266, 29049276], [90852932, 74818259], [25919465, 21081289], [44486492, 86487265], [12790701, 78249742], [8939571, 54272301], [77557911, 77546149], [41621094, 39089173], [84266366, 17601773], [25778600, 11312178], [19774551, 38362636], [63943224, 82559933], [11508302, 14882698], [60711188, 64935721], [49665354, 29681334], [82583493, 49801140], [82502891, 81616101], [71557515, 83799021], [58700848, 43119565], [96739028, 25011093], [19589132, 66227661], [85435226, 24692977], [93838178, 65123392], [96711826, 23613525], [15581552, 50843827], [16653187, 15735481], [40999774, 79930943], [32506123, 19295476], [36702604, 67724335], [58091507, 23780063], [87891434, 22340257], [72667543, 88817191], [42668086, 56043849], [95378348, 13937225], [2094972, 33121999], [41054899, 58695363], [14379202, 5236996], [97395987, 90013859], [44545495, 15145665], [18983028, 627592], [39597571, 87781588], [43649771, 21894358], [49865250, 49260113], [66213623, 7078221], [89423043, 99091705], [79580060, 89967962], [38750510, 93093706], [94164511, 37432171], [50919641, 58529636], [62732019, 78810300], [94585505, 90440575], [40139780, 84161613], [93189075, 55984873], [53710739, 65380664], [57613007, 9267894], [58039852, 34757318], [11874051, 31640348], [58501901, 2064830], [97890235, 77916957], [77505954, 99447403], [58832082, 65319425], [85073314, 11038523], [60552226, 93119245], [14027072, 83473824], [66521469, 2484192], [24433678, 53420620], [82338736, 26572368], [20879300, 86359260], [44711687, 15783714], [51916525, 31927218], [90475469, 73908611], [96143441, 44316245], [79039204, 7140428], [80030216, 89634112], [64053572, 71153873], [7395154, 69411655], [25805797, 8048602], [13981360, 72471248], [23028041, 68249156], [18309037, 72078632], [22395033, 66884387], [84028583, 92158755], [28376563, 56139584], [87284577, 25118675], [14365911, 54227713], [77380838, 5648145], [75472290, 12646158], [14242640, 61328045], [70709557, 4497586], [84834837, 1465225], [10963926, 95004819], [82634514, 85802498], [22518170, 41536524], [29818921, 90252604], [28065362, 68065076], [34612574, 62846807], [93644072, 37105206], [92103679, 28118739], [60732146, 78591087], [73525839, 29011924], [55256923, 90875668], [3303620, 4719849], [16756391, 65822649], [73506179, 85056418], [88386619, 45209964], [70301921, 18881117], [3239348, 56223896], [28748133, 82519200], [77651395, 39087260], [4246369, 8692353], [81155215, 9519497], [75748642, 27833584], [96536517, 40387144], [70820471, 8362563], [1062070, 86504792], [81803547, 55775136], [41589470, 62089465], [5938970, 68177278], [30875484, 94633182], [75690554, 38604262], [57261358, 40108306], [82169270, 99973912], [21707923, 31466661], [89352345, 18732147], [6014053, 80654946], [81473940, 24538117], [88832694, 1030873], [27987851, 51197956], [42428546, 95227252], [26138035, 19971608], [18046825, 64133434], [47609032, 33799942], [62593671, 93407317], [79438720, 93187091], [48882266, 85497027], [90660684, 37894381], [23292517, 24128284], [4463210, 51400099], [33116000, 26360631], [33205167, 20721439], [19219307, 42677974], [86041621, 19294390], [84225535, 20824864], [19479915, 93593230], [99729339, 91133297], [51043101, 62648843], [23825880, 5857074], [48556068, 26860415], [19937619, 24689462], [31194560, 47884476], [86844015, 66027952], [25779658, 19233671], [64234497, 2793796], [99941021, 44886832], [24812397, 65169214], [18982550, 84191838], [43095346, 37790636], [63640856, 87033824], [6385322, 33944184], [12716933, 22953496], [43264324, 1891619], [96886273, 39581893], [46203895, 74406894], [56703042, 63637749], [39804200, 43514487], [99394108, 74458428], [72478839, 39068036], [45319019, 70946318], [18660842, 84139870], [76022691, 98107039], [98396191, 6033844], [46607361, 60476810], [82404135, 16420299], [10487335, 93519419], [63770571, 77825163], [93287910, 58812132], [27107261, 61816238], [77521763, 14023811], [53132869, 85769166], [5077389, 89708112], [21580967, 91115334], [22852096, 18080604], [36455853, 52797801], [81055650, 17046589], [72246002, 67992848], [84574601, 25157573], [88362205, 38460905], [59832554, 74207570], [7662505, 84540421], [71551816, 64088190], [40445269, 66702116], [54136609, 21006174], [10817593, 24030013], [4567176, 51722010], [60254485, 46003500], [348197, 57885590], [8369156, 2690377], [90049055, 72051901], [50527536, 56742879], [63871975, 41109615], [8127342, 45148300], [74516026, 78759306], [36713321, 44798389], [56915336, 91377639], [57940368, 17419206], [41029044, 15617049], [37389249, 90997450], [86558574, 71763296], [64499567, 4861131], [36012644, 57039901], [66219263, 69671071], [74935713, 62804217], [88060489, 23174071], [97768525, 14491903], [53382513, 46515082], [73169563, 52013700], [87417089, 30282698], [98783211, 30663325], [27625158, 79895313], [13267420, 92779946], [43644021, 87056719], [34211734, 16649958], [36285904, 37575998], [47936742, 33463084], [95732341, 66679050], [21182911, 43432889], [8873425, 89266528], [17604013, 20438915], [61175943, 19692705], [6212068, 69008150], [6179604, 84699750], [51778764, 25539090], [92553736, 15731758], [8266810, 83862448], [89872504, 78979827], [8098452, 58423471], [46080204, 17801262], [48662708, 98567835], [80832070, 17177264], [65233883, 61001344], [84656002, 86429881], [36172281, 90683401], [29444688, 50223611], [98922909, 34304510], [57475465, 54586799], [8271697, 31364401], [95816435, 64055092], [8678726, 2148686], [2423819, 82972321], [58630177, 1564591], [14980456, 73819830], [2481407, 7762533], [36032294, 19218577], [76428241, 4043146], [80560888, 35067082], [13849644, 61263756], [23565644, 41950637], [76044912, 87381740], [72284080, 75838619], [99107791, 7260871], [99746154, 49902765], [89128811, 52210110], [41689413, 16151787], [77287923, 88948859], [65500376, 59614144], [21930865, 97351619], [77523614, 66026849], [93689513, 21699374], [50373248, 56690208], [53386189, 87628833], [37597755, 91926336], [34367543, 56739291], [88868314, 66951222], [70702346, 87190297], [962035, 45428736], [93754991, 13014535], [24246123, 29729013], [4265377, 77905949], [61385602, 84665263], [59156304, 21752779], [62870116, 35939694], [21124754, 15336158], [82182827, 74316871], [45353107, 16098253], [71412025, 46874220], [18906761, 52162496], [33391349, 85429760], [77152336, 95682662], [22600368, 6288990], [81982613, 76117372], [85473532, 33241575], [65437520, 32865191], [93977103, 50047212], [3686449, 4913894], [75745877, 46660854], [52569117, 169472], [79329636, 23652585], [24044137, 64043120], [83116308, 17388356], [52767019, 34051188], [92410889, 26928327], [50996234, 35760468], [20093658, 47501282], [33163619, 28076749], [78360497, 91286993], [2586196, 15634659], [94344586, 32397028], [5380012, 59820710], [31913705, 69497046], [68990014, 72112074], [88624964, 70425581], [1444481, 68134113], [35393244, 29965307], [50082200, 23908432], [10780431, 84531814], [18803974, 29454261], [1016425, 7101750], [34273259, 81336247], [48403479, 71033119], [14016679, 45498373], [96159222, 15787165], [76099888, 5780400], [46382211, 39854399], [83946552, 61310023], [87593671, 2890543], [64700348, 65945811], [78762344, 98248066], [44050273, 57406468], [41383902, 52168914], [74883986, 34719279], [95796633, 34254185], [41664503, 83067219], [91427906, 64178219], [22060132, 24630179], [41616444, 66095771], [67766002, 85893161], [10890761, 87376771], [41736991, 80437925], [6176950, 90827312], [45108650, 7055937], [17591814, 73897234], [83314184, 20751584], [26235295, 31322060], [39470489, 84769141], [97089342, 86133197], [54478986, 60671999], [38249833, 28227583], [45822044, 40624883], [55319287, 38854578], [39088408, 46532672], [74507962, 49549033], [56404522, 53085383], [26708632, 3718827], [89623895, 24411898], [41703825, 65787292], [70851421, 67455388], [7412474, 57873320], [64569623, 13996084], [69422128, 70362451], [86987874, 55086514], [56037088, 79660541], [27773711, 19198918], [7586883, 27559543], [15061330, 53126018], [14913410, 23946446], [36833184, 5536337], [57822993, 93344050], [86760836, 64393125], [70075591, 40334941], [62924859, 48957359], [97114474, 76627219], [18651414, 20804507], [21679764, 47483230], [11776785, 58784072], [85866629, 1137311], [7709269, 49037423], [32120578, 96673052], [82124616, 81065223], [1418886, 46119738], [78510222, 27599084], [70596987, 83568319], [58188443, 24429750], [36136463, 45045256], [72783127, 20803081], [21696699, 30222786], [40046327, 13448694], [87407381, 109561], [73115174, 47278410], [90361521, 7846353], [91996042, 87525626], [13410919, 15604607], [65128890, 93903586], [58486521, 248253], [17391068, 3721263], [78948187, 91017666], [43212349, 85572057], [56023156, 35851041], [1320824, 51746854], [97417624, 16539827], [76622563, 67281719], [82330021, 31765227], [69545104, 59798227], [39402039, 41264252], [26951879, 29385502], [64158834, 61196734], [9271074, 45906857], [97519099, 61885972], [93470150, 68440452], [55579050, 55757495], [72755292, 97475637], [81650857, 60227881], [6665407, 61586605], [25206084, 21943262], [98024485, 8505623], [42649754, 56533778], [89186172, 10039298], [1745042, 12741705], [19642881, 47306768], [84020941, 92077977], [16020891, 89391276], [9657478, 76684971], [9900144, 19514017], [62686399, 10831030], [73600574, 94629520], [72409758, 4079550], [23580304, 82347506], [53007936, 51446216], [17412506, 2085799], [79895904, 13472917], [25007122, 56180489], [23560912, 13428679], [67724529, 53564424], [10526934, 12719006], [67250360, 15539509], [39382125, 32207829], [72621811, 88762511], [50332512, 4276637], [2678170, 90262702], [68560579, 26086943], [37324553, 51729929], [54690935, 25076401], [14936878, 6186193], [62316371, 36689625], [33923319, 1709278], [84088636, 23179642], [68280483, 26912539], [81006996, 10156055], [17727504, 80680265], [35102926, 14523718], [23160012, 84110663], [17678355, 20354665], [42064976, 69462094], [84324447, 28706471], [39423547, 47975105], [61489343, 52355371], [74945365, 40412026], [47536703, 32228657], [63538836, 56901346], [76614096, 35219000], [14103009, 46633590], [88820108, 91231930], [82117371, 74880399], [65591706, 81096670], [62343542, 48006426], [69339626, 36118621], [57618947, 25206707], [4962633, 40410326], [14672426, 53559593], [54153730, 55679442], [24993209, 85976332], [83411572, 54834205], [2357381, 20304255], [99867174, 34834665], [23763385, 57863374], [29060808, 39390384], [26848266, 14950343], [84588701, 70586690], [330412, 28859117], [21248309, 48392864], [4807875, 15104134], [54522521, 20625890], [37805205, 7776957], [76403437, 79758880], [92342627, 26243828], [62488717, 44695507], [35540259, 1690841], [2551508, 95627762], [36563265, 76194401], [36364174, 71038245], [48358561, 94300161], [5082028, 19930513], [56608383, 12961721], [14644424, 71100037], [25615679, 10408351], [67787703, 95808109], [12602094, 25416986], [87235813, 57754986], [47060791, 34574456], [97207431, 41376064], [38763548, 46342409], [7422121, 46030803], [23337032, 89306553], [88481936, 41861056], [13560972, 67922110], [33259332, 45480765], [42179658, 65785205], [23073352, 9000032], [23584668, 62308430], [40130455, 67656741], [27002378, 60833014], [36016086, 72050712], [85154347, 9624242], [27753952, 71971674], [11924457, 47353043], [38582780, 74224488], [8750955, 67155967], [32611174, 19212724], [57518769, 14507073], [78564062, 84607674], [37856340, 89917727], [80396012, 95599845], [45097089, 26124763], [66081589, 72929025], [53584838, 37461251], [78221690, 18066415], [90000200, 9430336], [37457370, 64326879], [61138648, 26473434], [14997200, 82646896], [12919898, 67915160], [56401332, 63527321], [76499416, 18746317], [90365630, 62312787], [67606214, 49899018], [63213096, 20422687], [32029937, 29995895], [46761293, 47162494], [78731907, 70927770], [23891467, 57848681], [63459871, 47048166], [92331713, 24612142], [78573706, 93684997], [20324376, 14835930], [90208875, 54487567], [6365403, 71366640], [91675933, 49900289], [50036782, 2772396], [59951, 82909548], [73538938, 50786829], [65735669, 23307760], [10953497, 81228975], [97794720, 20862644], [53555324, 74809531], [88897082, 17787401], [68313978, 5830103], [3233068, 94125566], [93846585, 82671824], [54956793, 36086745], [61865713, 55550674], [58762079, 97922537], [88096274, 55447590], [59175667, 49605038], [42094267, 48096215], [39349192, 45436534], [46968790, 50476384], [62459579, 42223282], [91606187, 81671478], [93657318, 22129448], [29314284, 86962652], [40964105, 11025604], [1868746, 33273730], [32534201, 10292002], [8104214, 84534028], [53043127, 18875089], [67110730, 72361225], [29157116, 7079212], [25892268, 54022917], [41108982, 14185411], [18329179, 23027692], [16307955, 40227187], [89942883, 37215410], [10828808, 41840635], [19435750, 53034065], [52422419, 2081566], [9626278, 96216601], [48182026, 59063380], [82569622, 64451706], [61481853, 22826913], [75446218, 16894504], [87360326, 89252635], [4067283, 71602693], [17736549, 57512239], [86906435, 23488311], [50463872, 41039309], [18316922, 36404896], [96243851, 71803427], [34872804, 63600572], [51478853, 27657365], [23644129, 95722744], [51410728, 17796074], [66962192, 46478803], [14733162, 91116118], [18829816, 97492296], [22563496, 83399050], [17294440, 26027315], [62863656, 85329547], [88037640, 4544524], [80335977, 40267517], [84380111, 70281923], [11356013, 42159286], [41265718, 86807495], [94619191, 81684485], [98710547, 36666992], [24869597, 79363621], [18618827, 73441826], [57923848, 24509700], [69939523, 41356152], [78685259, 68637570], [94669932, 87035238], [85249913, 5383199], [56071424, 99546398], [76848507, 83397576], [22208939, 11979492], [3483558, 8986981], [4997327, 11952532], [62975441, 99658723], [70833103, 766744], [68315048, 36194373], [34212510, 7889995], [62293582, 24321839], [11508327, 64685358], [90300369, 15641036], [6653904, 429259], [56475509, 78670793], [88223899, 39044389], [29424979, 66540106], [70417556, 20706576], [5271233, 71519675], [70353358, 83119223], [71115869, 34650100], [34888546, 2471827], [5821229, 57451364], [97973786, 82213441], [88887061, 6714534], [63838417, 2259160], [50513765, 19824730], [50237078, 38640038], [98418646, 47997811], [36743935, 16252234], [6749523, 44032611], [59040823, 15604863], [76407765, 61312977], [22153660, 11535210], [80387163, 315199], [8268365, 61647330], [5869829, 45171636], [63631215, 57835260], [79666486, 39593960], [8441103, 53556978], [91809047, 33483027], [58199331, 38830268], [26135156, 70941048], [23075380, 10213633], [50713986, 67803832], [29122655, 44392730], [73892140, 24715990], [53726689, 75484110], [1543902, 34561373], [75222763, 5620311], [51917254, 17679273], [73158961, 21000598], [13400891, 82708600], [13700717, 30957512], [47980699, 24167091], [20925595, 88260988], [82522212, 21613117], [19861425, 29237510], [28245598, 90849832], [4083487, 81281924], [99802587, 12770524], [83747162, 70352749], [22929884, 89760842], [15235668, 35210547], [57451997, 89132548], [30382004, 39702123], [9452481, 37280027], [26077023, 16012643], [33893947, 11206736], [58591753, 64940789], [87686150, 12005813], [97123883, 41141856], [10624529, 35004512], [40437417, 12989289], [85360254, 35064033], [31015551, 12077727], [64859201, 26278850], [762195, 15716134], [9923278, 81746832], [83093776, 47571569], [37971284, 98218366], [14881874, 99778414], [23402023, 21210841], [74898896, 92809478], [46489116, 12425398], [8412508, 34817231], [10008703, 74498780], [50621360, 65272665], [64731133, 43296993], [11951409, 63227576], [62325884, 85221859], [8951739, 9827812], [19490115, 62159879], [13600454, 26875241], [55122189, 89627047], [21852537, 5141132], [12869826, 92363908], [5766406, 14897326], [75395794, 28489350], [7745006, 48468699], [17507157, 90699530], [68026674, 86187284], [9758481, 65277520], [65246316, 36568116], [89580123, 46679437], [92719532, 65783651], [66561255, 6570471], [72953708, 30921190], [20133480, 22338796], [79281492, 2231446], [13130059, 9974343], [25099461, 22870093], [74325350, 34951485], [74607421, 48571092], [3046519, 25229719], [65689420, 50703617], [5047693, 68682330], [64318698, 87762361], [72747700, 95809370], [92785747, 88701147], [70881685, 30937399], [11077069, 15731861], [14148959, 30895457], [6449186, 11697771], [33789584, 24166213], [37640633, 6100094], [46271812, 94341639], [1871540, 70195334], [43423263, 3199057], [8945507, 71613508], [38041235, 37646434], [64272233, 32432234], [44747628, 4828722], [15403648, 65342336], [60735464, 62151290], [61972449, 85889567], [6722550, 39616245], [13473398, 55576742], [7463459, 15915840], [58170072, 28004612], [85631427, 53139674], [17815503, 50858392], [92762824, 74899540], [4546111, 5913874], [92946847, 85028923], [44016460, 28012912], [18890288, 41016610], [14847181, 43630444], [16298586, 67154561], [55263718, 3054818], [83584504, 45927915], [33582187, 31512098], [54267909, 12146211], [56245587, 2941832], [35783447, 75151084], [4172400, 40663531], [60593222, 70456535], [95758338, 90558481], [37679972, 90290095], [49464422, 6881647], [71001334, 33812745], [80874507, 51823368], [14570540, 51199659], [49816736, 21241904], [2183353, 18893120], [37692623, 45337124], [36145685, 82170811], [38789690, 28394821], [66010635, 81347889], [91063357, 49621249], [66674610, 22642442], [9394310, 91314355], [45620664, 89653404], [20978514, 31665715], [49363865, 593145], [39454112, 19695300], [38736426, 14131496], [11906882, 92723259], [30174237, 18326659], [7574342, 17988796], [29659933, 42783210], [40708953, 27724245], [29446836, 26107482], [11886769, 84290814], [78850523, 56330186], [48428734, 53961486], [23532603, 27926077], [70456476, 87273744], [11069368, 32011656], [69445877, 40272836], [34561480, 23730557], [65779753, 36804519], [97263497, 31617306], [77954462, 64773136], [31776983, 46184293], [95069364, 96226396], [435019, 62802701], [57226697, 47582345], [37954972, 58872504], [60350901, 70726188], [29783226, 65587782], [48647322, 52655636], [61121054, 31614095], [10003969, 44655533], [92851016, 47419489], [65803288, 66748116], [89357377, 7811204], [97667102, 62240495], [43391500, 18925], [2883440, 33718270], [77964342, 70160329], [81070501, 87625824], [84202062, 75247673], [93036659, 44523455], [97920963, 99396755], [83035648, 16296063], [94756898, 61962785], [298143, 58760598], [76227644, 32177294], [54002461, 56714045], [91976420, 96865664], [67022502, 4781924], [11637455, 8149689], [56753212, 63533110], [48345073, 2946444], [50115382, 64044597], [64462834, 89032894], [81169935, 12511990], [77807240, 39211332], [73340693, 33648961], [17000782, 27052648], [62394639, 21483340], [38662608, 43885537], [56238111, 79450202], [95106267, 53486791], [41206779, 35081856], [43586009, 32281115], [46817006, 58149578], [95503919, 62963352], [14672765, 27203628], [42406160, 66009571], [85261059, 66392805], [79120378, 38299603], [17660474, 56150946], [16871379, 58589148], [56458039, 8437835], [87559160, 17972562], [8683995, 28518935], [85445853, 7273125], [51873089, 99922759], [16008635, 75649629], [10673692, 64000367], [62230187, 44766356], [16066464, 35565305], [78741477, 5578693], [48280444, 68235717], [79117004, 70955988], [14251043, 44861634], [12476552, 6032378], [45668731, 51422766], [30023445, 78891726], [77964663, 89432467], [33764879, 43361061], [80794230, 21260507], [7602272, 3995355], [58564411, 82413200], [54845951, 15223079], [26578079, 21692439], [22548911, 68932350], [4311855, 32643991], [12628061, 33783808], [8465985, 80712798], [50831969, 59394602], [25463356, 86843095], [47718, 9512782], [70535714, 16063904], [16001858, 50610398], [11768468, 10560151], [36285136, 78354664], [21764646, 16580881], [57533990, 8741025], [1549887, 68672826], [15210677, 9301476], [54422342, 58805524], [56049003, 70256739], [12493478, 57604484], [45561032, 89350108], [44610093, 34282170], [84776606, 68619229], [50436415, 46143971], [5782466, 22602638], [60892022, 15236523], [73332542, 95921109], [98658855, 19672222], [81989418, 82753455], [34192411, 71056272], [68023593, 47345949], [58766611, 96844921], [66909470, 79550294], [49021958, 28419120], [19863135, 78294385], [3683437, 94286608], [15153492, 1256471], [14283866, 3820543], [92542627, 90479234], [63014533, 52855328], [67213815, 46476047], [48362101, 3187385], [52177824, 12992615], [43997870, 52811273], [71196250, 91178127], [99088857, 17122803], [30492014, 92626702], [94440536, 56460546], [10250084, 10026784], [33615958, 76524615], [4249395, 64860578], [10575712, 55174748], [35703028, 45677107], [92888811, 1708732], [51206296, 66421842], [77386665, 14503063], [60792223, 45942251], [85925240, 87358385], [63515429, 46275794], [58805040, 40436266], [13804358, 9160978], [5231980, 32932707], [9495188, 68116842], [15333793, 15588191], [80155509, 51629138], [47143221, 89983285], [34139398, 83995567], [7129968, 49968558], [15954891, 82803244], [32367312, 57972595], [80005772, 80155617], [22351196, 86209209], [42954174, 46839069], [26493371, 56406091], [17468952, 51951291], [42960625, 94537420], [13341717, 63108491], [73662668, 4966498], [82024559, 508930], [18757992, 5243974], [93970557, 90811696], [22013314, 87493655], [50070565, 13976088], [3762354, 24596704], [83907728, 84286372], [72138348, 84287486], [6608175, 70094510], [81389801, 77390600], [76248319, 82189784], [14147536, 24327788], [17561890, 92756267], [41225481, 75516180], [2646278, 44133547], [52819414, 83591339], [71807322, 64093326], [69267397, 50024091], [84996836, 27923348], [99301216, 79395172], [88418951, 86529487], [792208, 59755062], [89396388, 23058498], [72178989, 39496701], [82002909, 50678863], [87638208, 84586032], [44738357, 53171803], [39534731, 67458253], [54802570, 13462931], [88739142, 99728222], [53201923, 40075184], [73661902, 18555848], [68642559, 40468555], [67074861, 20390982], [28637273, 37855804], [69345745, 56986946], [69665867, 18661045], [68555721, 73794262], [65756394, 53325695], [63099423, 81270026], [77466807, 32161383], [98338124, 61603478], [862021, 48262073], [32108799, 70031113], [47343311, 85744490], [56806078, 76968599], [38475607, 35520139], [99194628, 89910760], [78110499, 84291161], [33056351, 63983838], [72201825, 17820330], [26141346, 12912130], [49143726, 34243845], [33954640, 27382281], [29932118, 40948949], [97012282, 64683911], [28433826, 4952279], [78106545, 18518194], [56084313, 28380527], [28279294, 52968577], [79229781, 84917087], [38441995, 37056793], [78408655, 52483788], [17804247, 27056123], [96229185, 89190170], [35552489, 6086309], [39447322, 98435900], [60229493, 23454823], [23258311, 39556322], [34059419, 72616969], [87213069, 41760646], [21936231, 60792030], [22193123, 79799685], [49922448, 25164443], [557470, 41088076], [74652422, 27462052], [47450358, 6240271], [74233003, 34633183], [56597480, 96899721], [33778587, 34123883], [27260189, 19352460], [1608686, 11182451], [35474263, 27325546], [17950560, 55837012], [14786338, 64345811], [21024394, 82072190], [70404976, 29682913], [98318989, 68392945], [5784379, 7541318], [57902418, 47360036], [85175231, 15233022], [23244058, 95357051], [85687952, 18979841], [66472501, 67485904], [43953723, 46449089], [5440094, 7966191], [2348587, 29577273], [4687262, 14959795], [77715210, 79549931], [43281145, 78452658], [70077164, 17487396], [2006943, 90260972], [24927705, 8929350], [36354943, 64654238], [38523701, 50439237], [67683526, 19846857], [85705160, 92896958], [71019903, 33928204], [2840241, 67322765], [19138371, 45122256], [89038057, 61817817], [55556382, 88016153], [77834341, 37486637], [96199336, 86333567], [80467049, 75310545], [19751547, 61949326], [24783777, 32910631], [62427085, 28708825], [78266910, 46790072], [60106595, 66104834], [75316116, 44904440], [94403899, 96128541], [79778873, 76218891], [1415605, 78638449], [14839973, 76830460], [75543200, 86760011], [96998971, 35752613], [67937694, 31839969], [29007350, 48702538], [28264111, 83997534], [70015477, 65433970], [93748331, 76657502], [41496241, 31248130], [74109237, 94010900], [4491401, 49952176], [95098366, 71688567], [48487828, 76211281], [39379938, 31870249], [61034251, 78591442], [55772910, 11888748], [428054, 16229557], [9691928, 13702816], [11795840, 23062847], [46627799, 91857663], [17213670, 71714082], [27592077, 34278735], [25697811, 24281475], [96598262, 87043357], [71370761, 75466124], [22441006, 11619983], [18593395, 98096037], [68423417, 76375244], [69716847, 23162832], [18064688, 22835875], [74626795, 80429951], [86281842, 28963239], [34152871, 22833016], [40787343, 52603579], [31455122, 50117822], [58829487, 11262235], [38596942, 35713021], [7334691, 90742537], [48524255, 65622072], [14495774, 36766657], [76591430, 54036590], [22379711, 91873478], [26156143, 29868050], [38312271, 77488816], [32320660, 35962929], [96445939, 42440590], [70855178, 36044584], [63118014, 29282071], [97519827, 11569305], [56936126, 60303894], [35151039, 70970600], [63322037, 4730202], [51631758, 58306619], [98788110, 9624215], [9085166, 66817707], [8039295, 4667598], [34390900, 79634198], [59992090, 12479634], [75668819, 62148289], [26278039, 8737336], [86219904, 45679567], [31474418, 36651900], [4976700, 14997668], [56847011, 93819053], [26768272, 56785844], [41074001, 3309968], [59321320, 83720094], [7395021, 27048980], [65650501, 77004440], [72599158, 93180021], [20314368, 73482101], [43411651, 27119435], [59854602, 25948152], [32380510, 16189691], [69398284, 88351422], [50274640, 67192779], [50424137, 57713447], [234828, 33420342], [23327472, 74179928], [87130658, 41939702], [5305754, 25536087], [55923811, 86499079], [41072158, 66756321], [7593951, 17520392], [8031554, 62786198], [78002082, 63798605], [3817957, 12361157], [17662333, 23043833], [66167732, 32043993], [85897067, 71779120], [38621530, 15350377], [60209939, 46110647], [36429113, 65988577], [61556663, 73248626], [29007220, 70508566], [37230419, 85576563], [27669666, 57009483], [13703294, 83333695], [21256653, 72765199], [45406393, 76436221], [73074385, 1950038], [44434980, 79133764], [28054204, 8837004], [90808159, 88293282], [15565327, 41220716], [62792670, 40747192], [75174408, 9938870], [93485099, 19313596], [80482283, 77423427], [21433253, 15819346], [67019526, 5408653], [68207066, 38490524], [81712651, 66370208], [59941201, 52525910], [75433846, 68944404], [29212763, 20698482], [43338389, 40767632], [33742159, 30048949], [29032430, 58552782], [91616361, 86566572], [4166552, 99454555], [68420046, 88313331], [45128955, 10640869], [73947260, 740458], [69988216, 69304645], [38434895, 67915744], [68935746, 36722403], [18950745, 94654935], [88380400, 25284311], [18795593, 10690943], [1622959, 90643383], [91488503, 25312769], [50599736, 34851293], [31254589, 11373944], [60395993, 74855253], [26345789, 44691005], [98137496, 97985311], [67167074, 52245910], [68663340, 95174454], [19058484, 41768302], [24862232, 63001186], [83983834, 71465073], [90549679, 5237227], [35216981, 79298522], [9013825, 93100244], [33316363, 60473440], [26205653, 62877021], [35239276, 48335772], [47268323, 1648647], [94716049, 16818614], [65943574, 88520806], [58975204, 56732868], [43698517, 28656721], [18270324, 41831486], [81077832, 77615040], [55253531, 2447033], [88091347, 17407145], [52891956, 39757592], [7887844, 90741822], [98405403, 81123949], [16578301, 69731127], [86553710, 81812914], [98169261, 73097948], [36903490, 32246385], [73959251, 56317626], [99880711, 88078577], [5761833, 4100064], [40343889, 73883893], [97482434, 27202537], [13210448, 39307635], [71265906, 24147745], [5580153, 88124382], [95044361, 39519839], [67037655, 39065311], [24010364, 12639518], [57573517, 25499411], [77584176, 17729074], [83307722, 83926769], [60502464, 56911771], [19016240, 28758150], [32701622, 44642093], [20078678, 47696569], [95947505, 56907596], [13482787, 66591320], [95574368, 32053163], [76618217, 55436395], [346514, 37861385], [46678884, 13478622], [94862961, 75454737], [85649369, 86994680], [78414751, 53606159], [12755391, 14023017], [85021114, 22440892], [85668207, 89489778], [83945829, 19372124], [51907999, 53328844], [12519603, 858333], [29568029, 6766398], [21431627, 46743863], [65616235, 6202693], [27858003, 33904541], [75943652, 95797650], [63381085, 27685213], [77861232, 86905738], [84523643, 99554037], [62880076, 51353293], [89191497, 85069704], [67425827, 19596042], [30757729, 64600249], [67385583, 84258941], [23737107, 42112612], [63711408, 88554689], [43122105, 90751941], [91131043, 75418643], [18268042, 27121594], [34169958, 50946240], [45949773, 80410694], [27105326, 85605852], [43828869, 57998518], [9400959, 77914924], [33637014, 47291006], [57447370, 27542296], [22702887, 46448317], [55366956, 13912624], [10191842, 38838082], [44589091, 71122741], [62870231, 64359996], [89729858, 61917953], [23789532, 2518371], [61456153, 1310346], [12126447, 2426038], [30832376, 71675108], [48494101, 78015808], [60340405, 38991594], [10500890, 99870006], [86194237, 26713941], [8134068, 28837570], [99873855, 82108620], [68331614, 99693135], [83449636, 26541896], [35551206, 25268386], [73384032, 51459756], [81412176, 17108821], [54815870, 74004936], [10980021, 68324465], [6012021, 74388136], [76174781, 80619481], [51081315, 32405773], [23299559, 2232464], [36476880, 17632933], [5301520, 67849958], [24025816, 98678855], [61353831, 74174486], [83310768, 51245677], [51271603, 59931750], [77054440, 8151658], [43137658, 48054536], [41264270, 97547042], [16020359, 65275714], [32687311, 95291512], [3515111, 76332707], [93428975, 79679498], [16808255, 42362916], [86277989, 28114048], [93204971, 66089843], [35526220, 91764811], [62595316, 85506592], [76916820, 3842574], [93512620, 18420568], [92112170, 59093513], [62658544, 61774187], [42621186, 78356903], [50615137, 40627667], [47540494, 251946], [71006745, 3056897], [92012640, 38176536], [33801218, 45455608], [86432043, 26427189], [94071832, 12044758], [55233669, 74875488], [6964570, 31488649], [47757111, 1299604], [28072136, 48393514], [28993653, 93392744], [41019644, 87736247], [70955308, 37976475], [74018637, 82775157], [37398695, 2496308], [34062958, 87332468], [31347027, 71249393], [70813268, 24496703], [76301629, 3976136], [28886970, 40979329], [9148681, 47066969], [23032817, 17335996], [10133497, 74862046], [78361292, 77157211], [1011981, 73034387], [72894364, 52337026], [14927512, 7851402], [13494162, 31665914], [6055869, 13485091], [88701122, 18988516], [76092604, 17082295], [51277099, 48221025], [76609462, 17051071], [11997293, 26100196], [36867376, 13261844], [55612268, 20339972], [44128784, 50554181], [66712798, 39888565], [33937823, 85017474], [80574823, 84115885], [62537075, 33135635], [98984318, 45778146], [17920473, 20117745], [4278715, 11495371], [81556951, 3247431], [26184302, 71020710], [41105282, 34163424], [97591510, 45674153], [50571329, 56864559], [71873829, 62274589], [11350975, 13783273], [10946202, 19280495], [14729118, 43437869], [61000182, 42904056], [42338994, 88444728], [2278074, 80892097], [96692165, 30394144], [65810748, 23267888], [16376923, 46279520], [50793582, 12762203], [81087682, 25167225], [44992033, 4891437], [45063814, 42688094], [87711432, 45070103], [47891537, 75636359], [21963682, 20733974], [13738815, 16467223], [21584934, 57448965], [23345052, 61199028], [37057333, 80907888], [41882307, 18948765], [19245312, 31031769], [84692519, 41663661], [79891724, 27770826], [17135494, 51197848], [62595362, 69285502], [86092172, 33320008], [18130856, 12661791], [44031452, 40408591], [62831665, 39674946], [12521506, 71839023], [30103029, 5736216], [32899353, 47855417], [72096721, 36374393], [4906904, 87354301], [1946170, 84901914], [35276904, 93478439], [95059282, 182130], [63369439, 49534945], [7510229, 19078637], [84559348, 75213307], [19741766, 27260735], [96997780, 5566903], [81983520, 50765817], [71064850, 4559946], [59533786, 34502403], [60472529, 35739550], [63537016, 66194733], [27465062, 61196115], [55611464, 98852497], [32509922, 65617178], [55575214, 99152741], [64119786, 958478], [63273801, 37305136], [87148238, 91827403], [1138044, 73164245], [20132346, 16682180], [99365656, 78016686], [16149239, 55666777], [58484651, 44049814], [37334105, 60311796], [50091001, 80656797], [33332629, 7957904], [97210197, 86639107], [19528812, 68424644], [88772164, 72458458], [82779453, 36821162], [73812492, 42973166], [79836269, 54427519], [20750659, 34434838], [44190, 89342413], [29441825, 73073920], [16356661, 33700307], [22292494, 43402197], [7432391, 23588964], [72711520, 65211722], [3769968, 98281430], [4448343, 10282277], [46600433, 86795936], [98312124, 57576262], [16614869, 15160846], [95207381, 9799426], [49970324, 35902166], [66512165, 53520266], [72045238, 73251665], [54818114, 72524919], [8058418, 16969712], [23746299, 19956031], [6210367, 83394284], [96408709, 84348024], [93917104, 1618626], [97297390, 93719122], [82943336, 48675586], [16892699, 60141090], [64736706, 4115637], [59937551, 64147187], [66058790, 27924306], [72205602, 28668922], [43525114, 46107863], [44761123, 3656942], [96916173, 36922681], [3197560, 95688860], [17802061, 77973955], [62556425, 647461], [79108285, 75114420], [76420582, 71735852], [49108618, 42444668], [58875713, 89933557], [54591969, 65242446], [64485863, 65233957], [68787955, 93033549], [83751364, 75069607], [12719456, 22161153], [59335822, 20110809], [4728775, 489255], [39022360, 19317166], [28356560, 9301426], [57825574, 41925069], [76051593, 25374934], [16430117, 64936021], [37616596, 49226612], [36623858, 27427371], [84020841, 79264486], [60942883, 26088200], [26966712, 48403764], [57700095, 32388665], [42950050, 37617401], [1976806, 62901683], [11819396, 86896224], [92186238, 58241275], [7098375, 23474358], [16377255, 29463307], [48877610, 22821999], [58945034, 57193884], [98501127, 80286027], [95164288, 2167627], [95010732, 78861983], [49773554, 33052558], [17265069, 86220180], [55720708, 17422522], [54069329, 10011562], [38270067, 65754384], [77893821, 53018302], [29513756, 44194333], [77701764, 55419110], [48690004, 85793518], [73924786, 58873656], [74281861, 63407738], [86972779, 66407813], [52261574, 88268205], [42178886, 17717433], [13870807, 63191989], [26644392, 92817218], [85202401, 10860839], [16875718, 60870738], [86408172, 55790549], [66092250, 94520792], [26328602, 49645713], [94211485, 54066806], [2356737, 58889809], [52604339, 60630012], [33704415, 44102667], [46541569, 51619001], [23690498, 31686389], [67867797, 41214198], [6804764, 61702613], [28013422, 23718811], [88703823, 91511218], [76579274, 37502196], [91694428, 66436384], [14598178, 23091381], [62201144, 52651124], [54594465, 10951453], [27429667, 80421981], [68232699, 56387452], [54497065, 90744781], [10567467, 84010032], [76357659, 68330157], [2191542, 81029742], [22390280, 83971664], [69130844, 49113791], [65362815, 65431973], [83869660, 65617018], [7019764, 30226679], [45043737, 70887608], [53696932, 14434652], [17606173, 73232442], [14386888, 10223431], [92621298, 17669340], [79652029, 44770010], [69905644, 49361775], [28081623, 99272063], [8657171, 59959746], [17712812, 9378472], [46305183, 11295467], [94508405, 89698700], [82317504, 24374900], [14453647, 26640806], [21823136, 57934710], [66825395, 77004196], [50491689, 22368957], [53278435, 52790210], [31471424, 78405413], [79810873, 46764854], [81310824, 45454319], [61904954, 72418999], [66227966, 71389820], [1122907, 19931257], [16997229, 33798437], [59599298, 19240500], [73413686, 48644722], [90674134, 33598112], [3209162, 31408377], [98135603, 93008374], [70417086, 98250834], [40187067, 6403517], [71383324, 73601139], [37661077, 67835164], [71902638, 30412975], [70635032, 84774166], [31203272, 76796574], [53851035, 33987068], [56741152, 16685390], [76310138, 65823076], [52642041, 17944803], [93787109, 94739886], [16200675, 2667754], [29140124, 3291954], [94696336, 26886193], [98297219, 98287995], [63926432, 79352091], [35290840, 96408160], [68118683, 97662957], [55118863, 30506045], [55994825, 39046916], [51788004, 93056221], [18268594, 30935236], [93546869, 12880402], [33595712, 86056075], [30473694, 5186935], [50948804, 90422110], [58139400, 12305601], [52954038, 52643787], [24146656, 94545984], [33963372, 49782583], [4857119, 7750141], [27531158, 86304436], [50534010, 65845962], [9664890, 23717331], [92998379, 41780532], [88202214, 95928852], [83512066, 63643604], [44279053, 50713722], [33123423, 91384248], [45545111, 26990676], [37396968, 15568688], [78052156, 59456263], [67281293, 48934484], [67802276, 10891023], [35022191, 91567273], [29233094, 90857859], [2354096, 85615074], [18550312, 5985916], [15126269, 32651811], [10541885, 61708973], [22653115, 48755695], [94756705, 5853507], [75042240, 28528398], [32919495, 4426675], [85101208, 33716266], [34274952, 59438119], [2561113, 11420398], [61500709, 9909271], [15626816, 69648986], [49095004, 20497987], [89080164, 1963688], [80234579, 68095085], [24821681, 28411545], [63041601, 32539101], [86326904, 24695066], [35598746, 21548457], [84398462, 54438100], [82296567, 54847842], [22443805, 90806570], [5465867, 91128885], [78384634, 8764654], [86343652, 64858609], [42432664, 94351942], [24728110, 57518620], [82458252, 43626774], [11950348, 12983474], [70690133, 3205923], [10238004, 42815368], [4129519, 76121069], [18489842, 55376328], [3164317, 84451739], [49562931, 71281636], [2412222, 88074491], [79844782, 70631072], [43071100, 42890534], [82343548, 19193794], [75809937, 74267366], [85224778, 89889638], [62186322, 72095951], [9817537, 17379049], [63253221, 23099187], [51283798, 73151912], [7461904, 95259599], [87208018, 22281024], [91318519, 36642791], [22598794, 8947946], [78047488, 65290177], [8491864, 56521160], [73335526, 25187851], [23898297, 94446821], [41265298, 21243148], [93656038, 88662705], [8774427, 69502454], [43397088, 41964865], [92325453, 38109099], [6493909, 74139879], [28355450, 48053410], [46577720, 21176589], [85837504, 97672406], [73045495, 79636141], [84268498, 76414145], [4948091, 1767519], [83021100, 91619993], [18355995, 65519571], [60645038, 75049514], [89718757, 80378216], [55204729, 23484057], [76849244, 4878782], [31688993, 39478746], [31800616, 20637350], [12186413, 24153503], [19675929, 36142201], [20979813, 62344000], [7703833, 78004595], [72386441, 96268455], [95487954, 12762894], [75832648, 38295031], [77437732, 40419418], [63472814, 68327427], [59166620, 22665393], [56191537, 92790237], [293278, 37576370], [58957975, 13511169], [44975701, 88573832], [98786621, 67197937], [78116713, 11894476], [42229362, 97243646], [68666559, 14471048], [78925306, 26583284], [58344728, 50625593], [57273594, 17920323], [3603873, 62454473], [50988988, 67835988], [38249700, 89814375], [75659641, 56411679], [15367755, 11960890], [25914913, 17429527], [69929417, 64607826], [25506234, 38935167], [24528950, 55639541], [35393203, 80706975], [91031331, 60071792], [68093635, 95808126], [64637222, 5389725], [75478251, 94384799], [68965020, 64552233], [400586, 29479240], [30465382, 59958724], [25920432, 91904503], [99273162, 16431929], [99945620, 54482220], [40625209, 92882586], [57491193, 80596615], [23337608, 52101792], [65784747, 65987463], [41716100, 85036230], [36258172, 80073963], [57393635, 91866512], [76281793, 59586499], [69999804, 80881191], [88538678, 23872016], [67248472, 77835824], [50195068, 27066891], [39783785, 64699649], [58330325, 37872713], [23571496, 28425327], [10000596, 81872032], [38242666, 62056175], [85615932, 88727878], [35998861, 85572830], [58866070, 61624597], [606278, 50781284], [81295995, 78872267], [66014305, 32143783], [16488749, 82853749], [27655657, 28348224], [86676119, 86942362], [37592064, 7547089], [88380537, 85828493], [18074514, 78530504], [83869128, 55738282], [55482515, 80068615], [37218054, 14047963], [24703021, 52383144], [61366070, 31260340], [22690096, 61288406], [63105694, 47002938], [9700575, 10753127], [95712039, 96484172], [85275143, 27783754], [86808516, 41395040], [4822831, 29952273], [81805253, 92298425], [96009347, 77694139], [16531219, 8419260], [73996501, 11461325], [99531815, 73687319], [83053011, 19279475], [97473447, 71233488], [34061483, 92930427], [50488390, 42363821], [71887558, 9337424], [32664874, 14127667], [49032870, 13702678], [43221114, 22670557], [45867206, 68213509], [10040695, 88885620], [97691097, 78480806], [46759777, 94416409], [94224138, 43265017], [43952151, 83953983], [76142303, 9072214], [22419002, 35155584], [32892241, 37179729], [21054617, 8557040], [48420672, 1802771], [25650170, 2554195], [23646063, 36262469], [8197966, 1004963], [67822294, 3157213], [64941330, 83506818], [88930568, 24410820], [82170023, 32503831], [5487054, 79472582], [24407584, 31117016], [13841583, 66250798], [75236294, 22250324], [3137747, 52881960], [40898546, 98383803], [29510548, 77717897], [42387316, 52275651], [5198088, 72383856], [30149372, 96277723], [43269236, 4820064], [55685555, 35335749], [95130506, 56918968], [74479019, 52699739], [53180831, 32382012], [31571706, 20704876], [59772118, 21423323], [19453927, 4165452], [82413007, 35601889], [37181811, 30954442], [59197500, 36609381], [35468064, 88795341], [78072424, 12844183], [56881823, 87692424], [35248642, 25675209], [54330813, 13071786], [2407937, 4366018], [41918416, 92597991], [47061730, 31785908], [87740768, 82384285], [2973985, 42769566], [42142756, 18189850], [43947052, 62429400], [75092975, 54997320], [29012824, 16987892], [93093234, 19499328], [74233787, 80144571], [17930460, 90457199], [21481988, 1686280], [52517452, 5479525], [60128801, 92812438], [63615672, 7458646], [67665304, 17276382], [94421375, 75054994], [50418905, 44966874], [16064970, 44939858], [20474570, 91325460], [58406289, 97365914], [45146176, 41481248], [3288122, 74327429], [55584566, 93936582], [59936399, 36382782], [98757318, 71778467], [94033714, 17343868], [89920232, 68650665], [71153584, 17900300], [20260658, 56546316], [73336948, 81374744], [78617793, 76000677], [30241128, 78470751], [18350954, 7585609], [38806360, 52750725], [13059006, 48282174], [16709956, 21342965], [30213627, 6987742], [7875631, 3617386], [50718605, 77037566], [46134459, 13553985], [13067620, 47371775], [33744730, 17844794], [35890732, 93972450], [59979668, 76745122], [57971261, 69605400], [48846984, 9356874], [67221804, 51626362], [41636561, 62233195], [38799591, 60719323], [25344335, 50080661], [30975857, 81852473], [54015210, 44843774], [17747917, 76011681], [61946334, 15604848], [34733936, 12778429], [85206273, 33621045], [54655758, 32646520], [32815587, 15586148], [26219211, 58774529], [69726378, 30908907], [8368365, 33324591], [57451807, 58251306], [5926053, 43823988], [56983772, 28135346], [64861369, 15454684], [85168861, 96893442], [81824932, 41283966], [75702646, 34884177], [18740376, 57536492], [97392695, 40703296], [55643394, 52861556], [15110975, 1714619], [17704466, 79493330], [55426712, 23491001], [69508471, 91095956], [33911201, 5777733], [82610171, 15194979], [46183746, 92243188], [86024278, 31900892], [35326264, 45424354], [31339383, 21706790], [4809031, 67534915], [23822322, 41458684], [65915923, 46148598], [94008004, 86540837], [28116881, 54475698], [66515633, 52320731], [24818586, 90844458], [49709487, 37339187], [75771434, 89588797], [3343243, 52662992], [57277529, 8745341], [40001607, 86182833], [745481, 20074724], [1849306, 61081144], [91375866, 47294856], [74491641, 47123995], [5570076, 98607563], [66089525, 14802829], [73014488, 37649140], [27549512, 57256562], [8596653, 53133295], [52721313, 88392773], [49640929, 71169251], [84003357, 98440419], [37249912, 83225198], [93383889, 21927661], [40511202, 36330537], [52119008, 1680179], [64640653, 79702863], [89596978, 20336910], [17774606, 58907297], [95423699, 25849093], [11444341, 26118939], [39823562, 19849541], [48769641, 29599732], [40358203, 50437246], [39831515, 44602064], [46403808, 53570498], [29900635, 12582092], [107760, 54987727], [82583882, 64086618], [23721428, 26764839], [43642004, 41067724], [55080901, 78735910], [70137767, 9446066], [84379010, 41318396], [45689348, 36673681], [30514258, 65965707], [6063774, 8377432], [6186349, 98505059], [3903437, 16080137], [6295424, 36494537], [15243251, 80311598], [46122333, 86280581], [73219156, 32790359], [57899331, 36493636], [29830434, 20212852], [91994516, 85588933], [11478053, 63637137], [5192957, 31728452], [91368686, 82285917], [53496972, 49225033], [44988508, 90173007], [59893899, 20095270], [18286524, 16772083], [4303768, 82535951], [7483767, 54250004], [15222212, 66699024], [32412164, 32161856], [9712551, 89387764], [4795918, 69758895], [56965187, 6513819], [50246311, 20527091], [27589552, 48447286], [31969019, 83049411], [644628, 59909783], [15513667, 63657506], [5900743, 30970217], [57599860, 68196201], [95611926, 94995982], [88684193, 8618465], [7288839, 69281903], [9467878, 15341480], [53730990, 73044717], [64749849, 10476145], [98972125, 68826088], [12345530, 22908665], [96137348, 96677364], [14343467, 32643377], [14838411, 5353878], [53379659, 94960752], [58514547, 41207447], [33784729, 59535494], [85930783, 36643947], [35934673, 6893782], [99115565, 1567237], [43137578, 37147816], [84049876, 77924112], [86993598, 97079741], [83188847, 79564485], [16235651, 60070825], [76989742, 93190774], [76096051, 13602622], [46929015, 30696712], [4545195, 37541463], [27366307, 98161572], [69874184, 37490945], [2152834, 96224063], [17687725, 39086919], [6750814, 80902440], [24352987, 58425333], [21598824, 26946629], [92709126, 50215104], [39303025, 40103012], [58563468, 24445062], [43249838, 96900873], [58383670, 68287050], [26359051, 58546540], [11390868, 42083041], [30877694, 33031537], [38478421, 40895371], [14833434, 44061360], [43441566, 66928935], [80950274, 10792518], [28893541, 80155801], [40653803, 46161906], [53271556, 23572693], [95473006, 92051520], [7332565, 78792931], [9221966, 65577196], [95314452, 53789147], [52440271, 44018272], [73143117, 52297547], [73371721, 55297467], [25992833, 80876621], [59091408, 36100781], [48131668, 1196676], [62844658, 74312208], [56402231, 45139454], [31152997, 69943529], [67404929, 79567629], [71494785, 71852409], [3976248, 28370370], [72291260, 98920561], [79393650, 11634565], [64137602, 65448910], [8909102, 62207102], [55533944, 33866195], [89727864, 92349424], [44661378, 70845606], [4379949, 95454508], [77498491, 89534610], [78198556, 33145182], [76760201, 3260441], [9884030, 34975867], [47418199, 70640291], [76090104, 8113967], [95767477, 61059092], [32954126, 29577402], [64319000, 25869703], [38997214, 10171883], [95302651, 7938178], [6094809, 46881108], [7281763, 94986560], [95231016, 19707681], [75777570, 66194650], [29798966, 26751238], [45195634, 1154904], [22563960, 71400197], [13849557, 31290806], [21933226, 42486832], [1740029, 4655431], [70589469, 66645211], [55593839, 26548356], [66780752, 36570132], [12359214, 24066734], [39343409, 89926887], [13064406, 40842628], [38161744, 60007162], [68093267, 20295939], [77617804, 44235475], [10337340, 11825554], [17218435, 55991488], [31659377, 91677109], [97273820, 44248264], [40718298, 2456856], [55448914, 9295373], [77806308, 81301338], [50012131, 3858744], [58293311, 99630626], [97508113, 63065681], [15681648, 36142248], [18361428, 3122170], [85852145, 28094707], [35909154, 73117681], [8870392, 65425536], [85680290, 15262786], [46520790, 96646139], [98064954, 53814828], [95199869, 20151550], [31518916, 47627492], [92549868, 2945396], [56487331, 61773115], [22058334, 89547287], [83406934, 39704316], [97835726, 20955616], [88799065, 2846358], [36055906, 10037385], [35798833, 52810081], [46600437, 64282648], [98768069, 51538375], [86633514, 30430486], [59975536, 81005143], [39438878, 47087165], [88677463, 53995878], [59610803, 97647052], [20088799, 90551242], [79560712, 20254252], [32251008, 56883535], [50776674, 66262524], [23256654, 34751822], [72650698, 22283573], [81335482, 69490820], [63901829, 64257405], [54019592, 11344860], [96030744, 23524409], [42168204, 24024813], [39653390, 83502219], [81949153, 47611430], [45160261, 81873403], [93012903, 56525533], [30639910, 38005626], [93448577, 61950357], [25437850, 11839353], [28976473, 67081799], [96064486, 40836832], [54948283, 11837802], [37361098, 73900838], [76379671, 5525674], [13668853, 44741141], [8359816, 81617289], [15382769, 8215455], [40454726, 97897890], [44152798, 98255302], [57245363, 35714519], [54552898, 11058534], [54880016, 94318594], [99977364, 58313794], [76690428, 85648554], [52523058, 9239395], [46808101, 78463280], [1415916, 16075053], [33690859, 22434218], [51813606, 63555558], [56621214, 19766847], [53462608, 34625833], [60664302, 62153459], [8559279, 73264836], [70948778, 30972854], [18024284, 98742278], [82167159, 64594105], [47942393, 39685737], [34465006, 13526801], [48251867, 8187339], [40473995, 4729270], [26250844, 60729615], [26636918, 61769750], [64561873, 59799433], [75623952, 42593977], [75479073, 92330328], [86297151, 49127702], [19024739, 76763915], [37144131, 69198954], [77324854, 35977264], [46701783, 58246167], [2765197, 18343537], [54744954, 1397966], [68415906, 40710947], [61688310, 25842974], [99771750, 52205446], [85733797, 79539474], [31032984, 30011075], [35675743, 81312405], [14529318, 80588011], [50902503, 63366906], [40351282, 35658549], [27671012, 86312387], [13765912, 98840272], [61483170, 29012990], [93060828, 19531303], [49314520, 88654799], [31562124, 63162080], [57901630, 64422019], [60607374, 96530221], [80725827, 68165849], [78826815, 50491138], [87861609, 81838029], [68183122, 72832181], [89220562, 18103877], [77508077, 5241928], [13638184, 32568784], [85772572, 54658944], [30781023, 82402926], [871658, 10193653], [88906064, 27678218], [64216855, 14877101], [62616022, 61387179], [51603229, 79298460], [26316823, 3967725], [48899206, 42597026], [3522700, 67002809], [2049250, 65467265], [63281255, 64376804], [63572647, 10629595], [45802423, 28095175], [34296107, 34656038], [21562576, 38454825], [11755988, 12768997], [76335200, 73016116], [5357461, 37809511], [19442774, 9245671], [51332263, 77802336], [92568669, 60746531], [67779220, 4644122], [90441954, 80789805], [74058349, 94378212], [6426522, 70926359], [60185593, 34849563], [85091869, 88364626], [7389465, 43482060], [96493919, 17548071], [61952329, 93001297], [95885472, 42997479], [1335553, 50323043], [20002332, 14192387], [95310679, 11555092], [46956969, 89110741], [67733648, 58406526], [4914161, 63728443], [46424860, 39565205], [52609910, 68634889], [73168635, 68355536], [63466974, 45768837], [65778557, 90032648], [34682273, 82136618], [71199356, 14307788], [75831726, 46617379], [55714731, 64458921], [23563270, 20148080], [93211599, 5002328], [41632486, 8649149], [59574524, 14424512], [7834796, 88604404], [3580433, 27990711], [47682830, 81613954], [30298297, 80354344], [14228588, 50212271], [44705270, 65868490], [16653447, 68718895], [53192546, 54206163], [31877024, 99031026], [18481947, 25290623], [51852989, 54096107], [3183630, 37361632], [27837303, 89608459], [76859672, 49377865], [50054904, 54100172], [70127136, 70135241], [19916080, 93852967], [55311547, 81341571], [40192277, 21191639], [72570380, 44480728], [13234228, 3221719], [36274877, 93843735], [89857334, 6159150], [52042333, 9027612], [37415547, 73221557], [44241865, 5114038], [65783751, 72743658], [86313666, 63290526], [35669366, 33177446], [34388443, 6187565], [53296738, 84154366], [11445675, 98945197], [11644151, 88017156], [27585648, 63856107], [4700742, 45751536], [2794338, 63178457], [94258582, 13948679], [94973617, 26625454], [36224107, 739746], [2093079, 93343634], [59146486, 44318370], [11493774, 86686031], [45202360, 60725597], [82635603, 455956], [83470167, 29108278], [72888176, 17831132], [86735261, 73499505], [77823514, 52285732], [34333081, 66614959], [55755675, 44375362], [91153616, 44680334], [50509556, 83242825], [72866216, 6022089], [60125465, 29230902], [38396484, 82079353], [1036616, 80804805], [1368351, 18313818], [19300097, 13220237], [24592997, 11705016], [19921795, 61051965], [63063911, 44217602], [31567193, 30575659], [67468812, 56219537], [82473530, 50231380], [16530157, 82379726], [66739255, 770428], [92643660, 68584294], [54537681, 85184653], [1338337, 83910345], [41463917, 56597559], [85564702, 40241804], [24397579, 92115665], [89059239, 47187368], [53588821, 95948739], [35286389, 28360933], [62240567, 49044235], [84087533, 639161], [44109884, 26495309], [72822500, 39226484], [71339636, 73634017], [47563842, 45738300], [44763358, 52121258], [29281017, 15076469], [90874127, 53941790], [8925342, 31016884], [4456006, 23745590], [90752389, 62163328], [37048773, 99057702], [42490444, 41221086], [83369578, 12399049], [21996336, 68707046], [70470503, 37889499], [24830590, 51809628], [67331500, 38761024], [62522032, 48373747], [25807161, 41415264], [12524745, 25976532], [60269, 90279863], [20372274, 21382358], [78515710, 49405360], [64712661, 35727298], [51020999, 82922685], [66420878, 71771455], [48442140, 94262846], [32952608, 89701602], [88205873, 24906680], [78215252, 65611087], [93963164, 68887500], [47864073, 58794035], [11115968, 42926694], [34171753, 43506049], [97998420, 6518691], [93295450, 39438347], [91266732, 54221393], [31954046, 56687342], [36815590, 33313581], [82882523, 84053956], [81326567, 67237249], [54347153, 78164426], [58203701, 13604161], [53901032, 24832685], [45966357, 45301179], [7031724, 63645062], [65430764, 56323512], [69959440, 77604198], [96585196, 59916687], [96574302, 89079146], [20865596, 28289699], [72452319, 76576527], [15439880, 50694401], [61021717, 71024482], [85607074, 43632546], [96051891, 26769576], [90107804, 2446309], [93957412, 54818506], [1621320, 18939803], [45174516, 14186748], [69487776, 47871264], [32391021, 3100189], [94358842, 3252487], [7387433, 70512629], [45538674, 88494351], [58974344, 47953762], [58121485, 4328773], [34477803, 76642967], [63415381, 86494553], [38840952, 54373256], [67673229, 76034978], [76571030, 99755406], [6167355, 22161397], [24090508, 87250322], [18382682, 93379289], [72146762, 66656772], [89347197, 37655556], [47955668, 43159647], [45197772, 47808730], [87824880, 86628204], [84924959, 89225858], [60875225, 26846108], [9859950, 36312168], [34379320, 65868663], [97877119, 81851277], [65501866, 54783551], [94243176, 55704245], [27950764, 33192848], [32955078, 29191480], [44791027, 54666397], [68932356, 19051849], [15252532, 84483216], [75663094, 93909389], [38563414, 27657194], [87705315, 67015083], [71575598, 91357247], [56188368, 17008799], [86609512, 55007611], [27191556, 52853818], [28209598, 59370449], [78261845, 4870130], [7046030, 83507775], [58592468, 12752876], [18574272, 15089516], [12497449, 95081920], [56093858, 88872705], [27334896, 70141511], [13282782, 8275246], [34813195, 74905178], [21631147, 16439437], [56449551, 80137066], [61136239, 96422770], [12576092, 91510893], [44656221, 18950470], [42948600, 81715763], [32207592, 28801745], [46931846, 95920790], [61465798, 97586370], [41460076, 50448751], [80151505, 42193786], [19906150, 17565384], [88581073, 92127927], [1374090, 60645502], [27799683, 39346867], [4452413, 92930660], [38123049, 36891093], [16007989, 24643900], [47703329, 23264192], [42370971, 99269286], [49858651, 41518849], [601321, 84939317], [15649897, 81905316], [61351200, 4028922], [26893238, 6934273], [17442326, 14048842], [19995038, 21147989], [35545746, 68315203], [59549086, 99402524], [46164784, 61858065], [18770951, 8445103], [14590868, 65845434], [42014349, 66361228], [36618953, 25826536], [13053336, 90605746], [11485804, 53036573], [30457974, 80331021], [62901670, 56837837], [78285426, 24316236], [42613080, 79658865], [91408121, 63457565], [54625615, 72504761], [71941693, 77310947], [39245035, 75596234], [38677001, 66976003], [62258592, 770407], [14859661, 2902457], [68219237, 63938827], [8264167, 24239166], [76714633, 83824730], [65340049, 9216589], [97120278, 63804866], [96218756, 38453172], [45892425, 84189105], [16787002, 95105998], [21611402, 47881966], [28518240, 54318755], [92542177, 76430641], [43353154, 85601108], [59888559, 68452521], [48959785, 20621435], [75089404, 54210887], [85536893, 72026996], [51196080, 84558798], [44742855, 83963319], [31801830, 88982751], [24242990, 59237730], [55016505, 7911501], [29065489, 8891066], [51402006, 95619142], [35144611, 76056460], [86504188, 83389721], [35403495, 54846034], [81129593, 75627959], [33210731, 21161867], [56094833, 26543285], [68330982, 7044022], [20074019, 37598226], [31562616, 40211134], [81281797, 112471], [83243255, 33430530], [80365690, 70093970], [97437427, 57522648], [45210448, 75658954], [58840263, 29114120], [69868715, 78574820], [77424909, 40608569], [4469109, 69668281], [37019084, 34689591], [29919505, 25978923], [10177096, 5923590], [97417775, 29347871], [75973857, 86058226], [46467747, 62039138], [73592277, 61165140], [64088843, 72916219], [6088419, 72453468], [40083918, 29717908], [98180623, 2433292], [79863306, 65025295], [94237023, 73782431], [153222, 9651955], [3923508, 45200946], [32772525, 3329146], [49906203, 32869655], [40317644, 64221568], [637229, 5194775], [45031003, 78404758], [64295936, 22603269], [67759710, 68781024], [16485929, 16001296], [26247190, 68053949], [30522991, 14284268], [66582700, 63904590], [77367151, 8036775], [35089684, 75325730], [66283113, 58462587], [62548562, 52167559], [81032215, 35408497], [75301660, 19545337], [84231826, 57071481], [66917225, 1254027], [11750128, 12649208], [22991169, 60324218], [36599776, 88184734], [80838766, 51898719], [77095997, 40706473], [85672353, 18006276], [218891, 4776456], [93637709, 31413611], [53129886, 40431342], [74908482, 73205004], [14050369, 2392335], [53908879, 96012731], [93684735, 96141361], [21312317, 35037420], [76155782, 7993489], [64526073, 25102452], [49931808, 22755134], [73783758, 70247613], [83422067, 35454595], [25855166, 94739185], [46161439, 39618782], [91890088, 52327303], [23467594, 77824118], [42751604, 59414952], [25993625, 59529083], [47069681, 2393168], [50450747, 29428456], [69955863, 97941544], [98785942, 97554560], [55926562, 32383892], [96274252, 9694354], [77238131, 44888811], [50021978, 69649415], [18136202, 43071445], [32366749, 14683084], [85711454, 17770826], [75946998, 68434476], [6640905, 25791725], [2673694, 59200103], [65066031, 56016898], [24479868, 36933832], [15705649, 86458857], [77006474, 71006876], [58139716, 9808722], [58841613, 96476875], [40661882, 45109022], [78696175, 62788115], [86470463, 23186832], [92280504, 30375022], [63156403, 53813511], [73118043, 14344005], [62212784, 71510505], [21174490, 9653119], [54909607, 12695969], [99725698, 35354443], [54743755, 34652802], [35726593, 89836933], [85840495, 74777220], [73716554, 69241727], [30140015, 28726036], [33585247, 62483791], [89071763, 22156852], [89763316, 64069379], [34683650, 28855689], [41077690, 45956290], [83463707, 77913812], [94371564, 57668344], [61798068, 21761276], [19896904, 42603868], [54586647, 72277749], [13021685, 36731446], [56137948, 3294687], [18811369, 59295345], [29303389, 79078808], [59561005, 8812324], [73765696, 82581839], [20679848, 68433296], [2555240, 49185386], [90751692, 73823182], [37955635, 68797458], [8893712, 66413891], [5103462, 38966970], [48532290, 75907851], [53421440, 24171822], [81954667, 48729906], [45630598, 24442816], [17887219, 26885082], [65611570, 90218982], [88967867, 95602071], [68359184, 74795024], [18477476, 13145352], [24998832, 94272874], [88644170, 1665371], [75102003, 86761635], [80244075, 21698489], [76723196, 64688688], [43167999, 43949718], [99170943, 84611084], [69844056, 62422874], [85889683, 4199944], [71910110, 57995140], [66463114, 86278818], [94557148, 29155474], [98046423, 56860312], [49943398, 74916466], [28741209, 14493614], [62932607, 44616100], [63143127, 6557243], [92981148, 5666117], [6035523, 92616656], [35329951, 33881402], [93170363, 46872066], [86187189, 30799993], [45458426, 53739303], [89822701, 13153718], [9950431, 44370257], [24124472, 40179680], [31022052, 96532361], [53610968, 87451323], [71779610, 13099567], [98904717, 88809302], [47738844, 44202743], [92961599, 19822137], [52176493, 2217405], [83790045, 71688818], [13939187, 92548837], [25649198, 60621760], [54399723, 80282764], [1223578, 49299088], [3926835, 9928158], [63854368, 60032607], [18602024, 40295782], [50683735, 64854322], [79419532, 55952357], [53206649, 41746329], [61959718, 2496924], [24763001, 78601619], [3112445, 77559453], [30309712, 72893626], [20026998, 12922308], [10628147, 72690833], [97423818, 75827593], [45767446, 88590378], [85861878, 30722181], [92942883, 56219240], [91844406, 47896342], [4894710, 6292146], [68471982, 46376957], [26471770, 83980996], [66484430, 56840962], [89612198, 71381890], [54045507, 99977128], [9072062, 21070482], [37329237, 2951651], [3638963, 70675935], [81683015, 25222601], [4579912, 1371808], [62677231, 16455826], [32805327, 11943407], [41972684, 67846569], [61266389, 5860931], [77313691, 60991433], [13616838, 84124227], [82154878, 55198505], [838909, 4045741], [4045742, 15750203], [56706587, 1630153], [79618445, 94089762], [53991775, 54828409], [8391451, 7087290], [87755313, 35776084], [97159536, 22506059], [12729708, 2680130], [15880984, 86634166], [98346803, 37936746], [71833268, 30587630], [55793411, 85249029], [89168350, 64661919], [68096349, 4318333], [24742497, 9337007], [71832264, 48626009], [65281364, 46808775], [25930049, 99743377], [30932039, 21742875], [40006673, 38642279], [73641674, 538387], [38978601, 73781992], [13676838, 49287785], [74726543, 68150003], [70946179, 33512225], [75862233, 13486631], [63499823, 4329658], [96436445, 1797579], [49182110, 55835277], [30470057, 56669807], [21780098, 14755228], [77702553, 83225140], [76986446, 68506440], [26643157, 22725331], [84196079, 91844045], [54409873, 56330980], [57253007, 82889619], [94146344, 73942646], [27046731, 68610733], [93596577, 54506072], [18166240, 44778604], [11116829, 72927162], [45987218, 57807450], [44307756, 61206377], [41994343, 87655169], [30882461, 26762436], [45772343, 75261380], [61129030, 96809531], [60698632, 6802342], [67076982, 9793235], [24500582, 49537802], [75461566, 55878219], [97195687, 71105711], [55682012, 40136915], [66025493, 36165680], [2976371, 80520939], [39114254, 69543713], [10062765, 81798638], [1768436, 6921010], [86638724, 91396282], [6060283, 25262424], [37726907, 60711446], [22449780, 51989631], [14024471, 42823395], [8340451, 33660370], [85622517, 19000111], [15520461, 28327843], [79326296, 188657], [91903494, 66454933], [60472210, 91531588], [60067356, 16858483], [26988069, 56854893], [33828182, 37627480], [54159165, 25124643], [13455810, 39308874], [80599305, 85557831], [21524216, 63041449], [81910782, 31245133], [13207797, 24929400], [89518522, 20637530], [18144434, 2283122], [26861190, 71273167], [22105031, 39126235], [14205252, 71446598], [54013108, 59184437], [2524311, 54165112], [81289422, 79803572], [50225312, 30867135], [74468849, 84758658], [54731830, 89040149], [69722795, 82553959], [82465279, 30030692], [60927240, 34642658], [10199865, 77475461], [76857353, 96068337], [43246961, 30979988], [75521569, 83639919], [35271560, 39165963], [47182349, 62818136], [38007408, 59400902], [28385695, 50452305], [87240073, 68083311], [99657991, 42154220], [40687270, 33720572], [50857814, 71118687], [79953788, 39943915], [21146492, 63225338], [82071080, 80190410], [62392645, 11278232], [44818742, 477975], [82669637, 78696828], [91207410, 34392833], [52111344, 33655686], [46239467, 50728301], [72572447, 98382801], [89206750, 4750270], [48111684, 42694630], [3288466, 27778437], [78578446, 40417435], [53818192, 29155706], [84073461, 47307730], [14265290, 21228909], [17329761, 29604792], [22743743, 74775730], [37095054, 19500151], [87794724, 57952303], [47619613, 81844684], [10525101, 77236329], [62240853, 73264924], [19566800, 1908436], [17109195, 69375617], [57561425, 48770500], [60420228, 55022779], [44993416, 9035815], [15523680, 77543972], [84441070, 14134007], [36429691, 28569309], [28330343, 40903904], [2211570, 10819963], [92713401, 89813152], [13563238, 99280171], [72955309, 43200029], [98688635, 7042983], [92918378, 18078794], [55043315, 24155104], [87322596, 44494288], [52154264, 68440757], [28913032, 27372173], [72814176, 29592656], [17498058, 55781339], [51327747, 42754436], [5377561, 33901083], [57341592, 28740252], [37620530, 75154926], [65187718, 45713432], [49435993, 60613139], [75037970, 25762349], [71021663, 94279168], [12244039, 25432780], [681690, 69974384], [94535896, 24953879], [88225673, 33756038], [19262088, 17819630], [78716372, 93531692], [56562197, 79045926], [5870366, 77996209], [47651038, 57377699], [36911315, 27021525], [57000984, 67268852], [97996435, 4207648], [48446671, 27319741], [44166065, 20285479], [78743613, 18033480], [3242123, 77635718], [25399300, 43826350], [89706812, 15695661], [21758958, 32901942], [82610504, 77211997], [39438426, 62625590], [63536042, 96257555], [68680575, 66639777], [8096985, 45977734], [68461245, 30201481], [59269778, 45223808], [58330375, 57783276], [6969863, 48249557], [63344630, 20787278], [80364817, 36498626], [79817974, 31524437], [63720728, 82154710], [41710871, 55735726], [82444748, 4734327], [6632337, 34761075], [92273457, 41806621], [32881286, 33709088], [98485711, 76688378], [54663674, 43689857], [19891749, 50184817], [9556817, 85009446], [39222833, 52502165], [51223189, 75640836], [48922913, 37321160], [26038349, 17700379], [41948677, 93067578], [89967970, 89884625], [6240984, 74140403], [50778152, 23392663], [46253037, 35302242], [1769910, 75598232], [95610705, 73990234], [27282829, 5309225], [83648706, 34222117], [77696244, 73086969], [99283627, 98758615], [91623401, 21180198], [86661900, 34927316], [10722360, 30891747], [84728797, 40120827], [87070773, 30404590], [13366628, 79995286], [63165638, 90941356], [62871634, 87662271], [28061127, 79424075], [36946265, 32451999], [59467831, 88909795], [96479548, 29895819], [72716291, 33031842], [23210567, 38476977], [13333845, 55472613], [86630345, 80969268], [7131150, 55446058], [55575465, 45245340], [85833659, 74548543], [74567029, 25088011], [39880381, 12280253], [57346487, 6611076], [53680548, 7317065], [3762866, 96224363], [86105966, 90233338], [67108359, 73610449], [53707516, 51644468], [11157949, 47682125], [39907319, 86574737], [44703407, 79044934], [12027964, 93895283], [80178333, 59511977], [19698781, 55087466], [10001542, 86202107], [57715741, 25005290], [95440885, 44490473], [399737, 19004954], [5229087, 95895391], [75481124, 17170841], [18975881, 47811573], [70744055, 57248897], [64561495, 8002117], [92870077, 28201590], [70432818, 46696803], [59943339, 57083606], [5283356, 19764122], [30176638, 66782009], [74323753, 51485885], [72202072, 4962657], [92723420, 89571622], [3474808, 33443872], [83743977, 47852817], [4771785, 72004747], [31225328, 72612691], [39991698, 47887874], [66739255, 53439240], [29465058, 9846593], [78306498, 54744429], [3122641, 50496437], [59155223, 24514663], [1035206, 9860737], [7349095, 16926492], [91619215, 64186374], [88170897, 13452746], [97554362, 93647974], [78422498, 81672732], [18481502, 48954870], [84571379, 22608815], [29777058, 9165653], [3240237, 76861697], [45588572, 45203912], [4996465, 8277196], [24720178, 57634052], [66281443, 58568714], [20428296, 69885316], [72855866, 90447165], [12083110, 60119403], [28462273, 51497435], [34660933, 52160233], [25691358, 71522359], [62226278, 36573820], [73284671, 1968677], [22359003, 47376933], [55003359, 87375285], [98201671, 48502346], [22873564, 94665794], [76170961, 16561232], [54863355, 83477201], [82568470, 67327417], [83961092, 48096114], [50152711, 20025090], [65713525, 62964839], [8867714, 86630499], [12943193, 9792010], [28930754, 9560347], [90010852, 5086080], [99999269, 24191890], [89508883, 5731554], [39077572, 32100906], [82640052, 92624484], [81370475, 95582323], [36033106, 21257886], [18765925, 36407881], [50572970, 88534119], [94121578, 66826706], [90231341, 53279738], [32633461, 38313755], [62089485, 16655000], [75057132, 68756017], [12952044, 36610339], [61245753, 48689234], [56422250, 34751913], [33319833, 32443407], [7607433, 49051173], [58099060, 2847825], [37635438, 97738841], [12828310, 1845426], [56440510, 34590075], [96216094, 16554126], [50313137, 22560681], [42898778, 70586949], [70955743, 24548619], [89197869, 47285509], [2396896, 72336435], [37481635, 97054417], [46200444, 30576109], [12854396, 2839134], [18738172, 63216747], [89612801, 58639486], [4488807, 33624482], [36195047, 70531659], [61602734, 68339774], [61066932, 3729281], [14459670, 19542513], [21717436, 24448739], [821485, 1698439], [75855249, 71957763], [89387173, 10400579], [531245, 72010778], [68617221, 57782113], [23712898, 52983258], [52536821, 26704969], [9501590, 83474338], [21488797, 41885743], [78051545, 78530648], [44767846, 84866439], [13541061, 59237185], [69725047, 39930670], [38487595, 89712577], [42541619, 81938884], [8400420, 81994641], [87750544, 27852712], [69475080, 66983471], [68748937, 8104699], [33009163, 44869674], [3303973, 90258426], [25022285, 60821145], [11405225, 39004806], [57949628, 50742357], [73673202, 2286709], [9091025, 368410], [67551987, 78568152], [39552839, 8865045], [14422870, 39233252], [70485163, 58084715], [10789646, 55669493], [45927990, 81952451], [9557021, 97100743], [14159341, 19514138], [30386361, 95910484], [12048741, 40189522], [43981290, 83214209], [58329416, 43120619], [94756557, 45362192], [87657247, 7779915], [24393555, 1985194], [51946720, 41178985], [29010369, 21601784], [35973530, 37527536], [98380655, 3408782], [93129083, 48697866], [22272639, 10175714], [57377223, 91244242], [99868532, 47767404], [76881631, 10427682], [10065048, 79959287], [98271196, 10039640], [46188180, 18321566], [59880251, 49918484], [71677558, 41078593], [83045323, 88104537], [55356085, 89293217], [19208109, 59195287], [8302213, 68267551], [91460919, 40110276], [76600147, 71781971], [21121799, 53786152], [84933745, 37174660], [25375327, 79569816], [3024216, 47333255], [66544968, 10633463], [35255395, 4314905], [23730268, 58384398], [59642033, 62548066], [42109065, 32356577], [93958392, 85201347], [75126063, 54725084], [71904662, 22673731], [29347312, 36469484], [1512546, 31786359], [67977617, 91526619], [19838190, 64708457], [33204661, 95217034], [94430453, 37816989], [21365578, 26793026], [90655142, 64753670], [80309402, 9012323], [4105434, 24673569], [42611234, 10192055], [61638696, 88897671], [1131338, 50317108], [82687285, 58638060], [49572282, 63449352], [26038622, 83260649], [42902824, 54994763], [8856760, 83523636], [43575912, 85785535], [52964199, 26668521], [67067900, 28267262], [26296859, 26133553], [63760811, 78028555], [47952066, 54201024], [69878080, 89031043], [9370663, 61001868], [31882965, 88477669], [50834142, 16253461], [84142557, 60093274], [40610776, 76363483], [42366423, 87130685], [12867304, 18243961], [12901787, 90093491], [18533498, 55741242], [58497556, 66860947], [88951847, 86343039], [34132885, 60142849], [9962985, 86282666], [83506269, 23099289], [71693435, 29768353], [16464994, 30754673], [94554650, 53089697], [74171071, 11659723], [87939762, 37523159], [77491109, 4867288], [73019236, 86383543], [75354941, 49657891], [31039934, 3987948], [19871375, 68450403], [21294207, 16470329], [85696011, 14768383], [14851723, 43349766], [53563195, 38696088], [57635735, 41420027], [44420999, 92013012], [51113861, 4898529], [96823698, 15932914], [24275217, 98927829], [82325032, 65776766], [90153340, 13100230], [29165506, 43103620], [94000467, 29350926], [33543659, 7560401], [20953168, 27031843], [44066414, 41018557], [13829862, 59244399], [10838072, 34718404], [24779237, 22077116], [75198888, 97657432], [39529247, 23513100], [8428012, 12897890], [81673523, 68999570], [227991, 3282175], [23907393, 85110166], [32346524, 98664623], [66228157, 80316453], [2534613, 69495661], [45113235, 63643347], [26928107, 69050612], [890884, 79494303], [7058074, 72238322], [33818509, 19933740], [93765928, 50698433], [44212226, 2529557], [83124864, 13614640], [25587030, 75293524], [53463298, 2519521], [68012926, 83019066], [50436992, 48221200], [95160858, 72644755], [97370245, 96740333], [61702860, 712784], [8558508, 47176878], [68938323, 14115854], [18354202, 67653360], [6040429, 10751461], [92037585, 92470114], [50690392, 60476392], [71500445, 99829011], [61085872, 44072419], [2973111, 3843095], [94358574, 83242140], [17163660, 37209007], [3939919, 18315239], [11560869, 69683362], [90616708, 37187345], [23632316, 13038666], [14759102, 38267575], [34269701, 38561849], [17026985, 3294380], [57658542, 59688771], [10169841, 86409506], [91880167, 66149258], [64370567, 74686135], [664489, 40652154], [66986811, 42289224], [50182138, 78902353], [35548362, 6679299], [92496824, 90472092], [87002897, 16918964], [48207788, 51563273], [66124121, 88766684], [40362743, 4479444], [54102484, 21432891], [89788935, 67337263], [4192631, 60397551], [97480085, 87447391], [92660564, 18015587], [26573865, 80757618], [88844830, 82843985], [17668477, 27340032], [81259610, 28023016], [8211038, 53816939], [83511031, 81466949], [67973599, 21533841], [94299676, 32519485], [2353882, 36305044], [91677761, 56226804], [82999734, 74555144], [43961393, 19080792], [63240889, 46407479], [61439794, 64236542], [52317778, 43823735], [54418525, 40408243], [63735990, 29124026], [38798008, 44940730], [92404663, 67108615], [57545842, 5194311], [14602480, 17578377], [19971316, 91909335], [47985094, 40631054], [40265902, 22934909], [58028551, 81340746], [67383837, 31944861], [78678710, 15270813], [36751931, 60987974], [43762652, 19886582], [38666181, 74900701], [49528340, 66678715], [13615696, 76551093], [19175547, 50022380], [76798196, 83321690], [44492293, 29468973], [93017972, 54534895], [5916686, 92988137], [84329292, 43538032], [74994660, 86857370], [46376820, 94536655], [99762152, 14650953], [97205960, 6028680], [25469090, 75544641], [3395283, 95830774], [38244155, 92030993], [99747250, 92610110], [10095624, 37737127], [72671413, 42124900], [8194451, 37526421], [828524, 26672406], [60701839, 55824050], [23634144, 40047605], [51155412, 73834240], [12459388, 89772665], [97787819, 42375205], [88904381, 3636293], [57268279, 21937243], [76250700, 38782452], [60566231, 73765402], [25369329, 2079876], [66406335, 69137087], [57404697, 28259935], [92562211, 52336496], [9725601, 54969729], [80240794, 66924501], [42847279, 28013262], [89339186, 1329657], [37169584, 66145557], [16634973, 79064783], [13525348, 34164751], [28619246, 34745581], [85839756, 52369033], [61020478, 93993113], [80104708, 48856468], [29645617, 18018985], [63604239, 30776784], [18721957, 55571418], [68709920, 86732150], [61945057, 81770805], [17933232, 40200048], [49801570, 46299185], [86559411, 95096156], [47312327, 21399765], [56541852, 36638554], [22441813, 81957023], [8521521, 97801177], [92177493, 35220191], [98564283, 80188037], [63977825, 39029294], [16356833, 2378898], [45121418, 18435920], [20300073, 80157944], [8363523, 49611573], [52033633, 17755543], [27040996, 61182550], [45749789, 7478705], [50520433, 90997446], [51484461, 14069531], [70294614, 69320083], [449919, 93389295], [82492423, 24289014], [41601256, 44728267], [22259264, 40933289], [63593300, 57996874], [2892536, 97508675], [52960903, 4983538], [46951830, 44792246], [68194043, 11650316], [23317521, 58399431], [83143854, 89012605], [35347425, 46879303], [59150199, 65643753], [80326920, 28565521], [41105068, 930229], [54807871, 87819018], [81162694, 92473112], [39400701, 88927092], [19590296, 47222594], [69913493, 6831201], [8534382, 25809265], [82378391, 43582166], [43104546, 12422397], [31060400, 34928289], [80626912, 77395108], [34982688, 14085743], [74909288, 95651339], [75801822, 24209661], [38829897, 46627535], [20868735, 76962258], [35330168, 43344767], [28053899, 3414951], [5399366, 34234164], [90377061, 48094497], [53182661, 94017486], [34816895, 52964586], [85163035, 70726255], [33777660, 35811738], [84313954, 11075767], [83189985, 2130332], [99795524, 65191455], [2769429, 72913510], [85851358, 95174560], [85000262, 60518134], [91330861, 99628844], [78483393, 15276414], [97258630, 71886163], [64752013, 69548963], [93315232, 96284973], [35893465, 14554378], [30425912, 69654117], [60211774, 19606527], [64389189, 87587041], [63720633, 5815159], [45127816, 96066491], [38339163, 85878015], [58659342, 74242347], [10138913, 55230513], [86538892, 32635708], [78206635, 65703297], [82469228, 35756262], [98722271, 23355425], [75440323, 56962651], [7997475, 32791693], [51773648, 41489011], [35416635, 95684203], [7492332, 44814250], [31510635, 1215798], [78162640, 1084451], [41236446, 12007743], [40621747, 80976482], [83512381, 10068916], [65526536, 97164160], [52389768, 68813209], [1749266, 87218747], [38314849, 83476431], [96161456, 77767242], [59200271, 21890686], [62797563, 76305577], [73430324, 75687922], [2608000, 71261451], [193430, 8580648], [2002938, 60950730], [51944277, 82858616], [69543695, 26632828], [98714444, 5058058], [14980130, 47666600], [3938350, 39328667], [30385225, 5159562], [49049722, 38503295], [68951482, 20029435], [17368005, 29034817], [12680168, 98556665], [53819456, 40195352], [21782916, 94824808], [10404911, 17417820], [75850145, 60629543], [24682462, 65682197], [81665506, 49327025], [32643583, 87900287], [48240279, 6935546], [93089539, 82426107], [72674718, 14111733], [49746226, 39711726], [7138109, 52877846], [6704704, 44121451], [6025797, 40839192], [47031395, 995021], [20736157, 56536318], [45514655, 1177227], [362161, 87933376], [21426901, 38265176], [37027617, 10983986], [49625877, 58389129], [72376878, 1049651], [27313566, 3763577], [50590181, 73242402], [83908536, 34995180], [51991384, 22863936], [26403079, 53903484], [11944116, 66278450], [58194182, 63020115], [9196587, 84458342], [35121264, 93234497], [91210805, 54591187], [26118641, 51169555], [37955154, 51931273], [78303415, 16091779], [38620712, 36325309], [26543656, 2722244], [86802585, 31651444], [36439633, 63141904], [66713821, 7771156], [68373033, 78414208], [60432203, 72213091], [39723984, 43368841], [47556418, 26230529], [71171698, 79260465], [29844182, 85725254], [6234813, 95456252], [54165220, 54014202], [90954421, 70030132], [16062233, 96983879], [85922977, 9986506], [64336563, 59309887], [85502919, 18564456], [81905812, 60934950], [98504698, 23340731], [62769055, 75043717], [70916430, 39604457], [51412865, 48670362], [91273524, 90072912], [80663816, 53248985], [71322547, 95587753], [56489196, 81045430], [28160792, 60783042], [94197705, 65799906], [72584640, 6007567], [21309453, 98197321], [98979496, 72948700], [99560438, 78338944], [11969058, 15953382], [38384186, 64621918], [94494684, 39861858], [87984966, 71438880], [3587602, 58155582], [54534352, 74573596], [50693397, 47742434], [81647926, 30836281], [29267888, 36599518], [72199096, 53078673], [15923903, 55428229], [29977518, 3633892], [24446946, 4288748], [21211972, 47246990], [17636439, 65884010], [43410502, 86933348], [61733080, 48900174], [68118239, 46423442], [23133569, 28756346], [46346017, 78997053], [815204, 7160607], [29721965, 53208857], [48165776, 17891128], [23619360, 66621566], [98472599, 28015093], [48676107, 57348500], [89553511, 76081045], [68316062, 10168889], [40667674, 27758453], [98916653, 22591562], [69927719, 31833752], [65426242, 80266506], [50475828, 58301213], [54925436, 29420487], [21820321, 91011049], [19047634, 27697349], [35287333, 66793216], [15869054, 58733011], [71705662, 62842253], [42085746, 16465928], [53432701, 10677801], [47066573, 39614908], [56584805, 75772339], [16788623, 6903815], [56275014, 93448637], [53703362, 7015872], [82075531, 40200308], [45207574, 70096543], [44983385, 85133824], [59562759, 48848221], [83213474, 14066379], [23763083, 40634767], [81818772, 12553745], [95788187, 63624652], [15047083, 57726764], [5010555, 67059615], [7298072, 11837687], [44381983, 88519878], [84371426, 75534298], [65760051, 68762652], [2015806, 48851470], [99135183, 91914306], [17049136, 8698363], [7164083, 68968076], [23905696, 44981470], [64012481, 16087584], [35095434, 9765226], [13690368, 29076280], [84333056, 40796515], [93793737, 27385136], [55531741, 26630098], [88606524, 44756382], [36535682, 8840804], [49312447, 2879551], [85847028, 2026874], [34257954, 66839480], [73756875, 18272616], [18326115, 1083952], [29698308, 64737990], [98606086, 41565203], [21956444, 25020990], [79398926, 96771683], [38885151, 51697284], [51643456, 94605088], [51222637, 88296781], [36179076, 8468190], [63037047, 85820149], [37238948, 78880536], [17534594, 44091625], [37533887, 84663742], [36592166, 19858774], [14399685, 78228664], [78211517, 42655286], [53458357, 55348837], [968357, 11033179], [19525695, 88319387], [90558017, 34185504], [18857283, 51822120], [4254264, 29117861], [74350417, 67048622], [56558296, 22519982], [1632176, 80485110], [3282701, 47949302], [13593650, 11307271], [50543126, 57799777], [34898722, 55143539], [87478940, 27720498], [62395454, 78880174], [1309388, 47221677], [78975762, 68620043], [51153593, 65683290], [85537540, 97969514], [96014797, 19436335], [2061223, 12545775], [96918322, 54450241], [42688718, 13684220], [99075157, 27823615], [75171788, 88698465], [9308901, 86035447], [63672618, 23902011], [84719747, 74443770], [90809797, 67711796], [8097228, 78358790], [33552978, 86136518], [1793924, 28262377], [79305710, 50644604], [23210674, 21238724], [688147, 48931991], [99090868, 72318491], [34725805, 38071349], [4915963, 29280578], [52664294, 16607453], [69191619, 38091131], [53263417, 41719477], [56956144, 35930843], [52365164, 39304634], [78499390, 62132821], [74561879, 31411132], [56344273, 87464721], [29546939, 20375479], [31852409, 61628423], [27107870, 49463892], [90124637, 83937220], [25867993, 41809791], [1568730, 98735177], [82120544, 13219347], [99428168, 52831079], [5616374, 18254654], [93132920, 40726973], [47912662, 88084399], [21325067, 76716166], [49070671, 10000620], [98244730, 67128001], [40355784, 88676237], [15627678, 78439586], [18770964, 8902166], [9501787, 22986810], [90674049, 4211829], [58130318, 29411164], [19322202, 60180009], [19332101, 50612127], [88891823, 67185377], [20481289, 22719647], [70903587, 13467625], [14069702, 38383915], [4120626, 45830584], [13374984, 9836860], [43320624, 4864177], [28874212, 56734716], [15737555, 3527534], [30957965, 52198776], [9744880, 95664075], [77859244, 72016537], [20878991, 31087289], [61149616, 30425001], [55688504, 48417038], [77655641, 23798514], [19861881, 33986004], [93581236, 7771925], [6640088, 58177867], [81684865, 23859621], [74480418, 83775527], [7385649, 56162064], [22295779, 76995450], [62611442, 92734907], [64448234, 30489306], [72765304, 79716696], [73844803, 96272379], [47081312, 5335541], [83650300, 47749846], [71888697, 8495284], [3712257, 28801831], [83125637, 55145645], [87513012, 44639173], [47963270, 29925029], [41546669, 63988642], [54565879, 86504701], [62338395, 26534567], [33633295, 49042097], [37143045, 14006651], [54271251, 56288510], [82635365, 90236152], [14665089, 81694052], [884862, 40983772], [34977707, 46956815], [53663303, 99434502], [50376067, 98911168], [59246442, 50502859], [88496270, 36469881], [20951834, 14617417], [12500328, 42475685], [42988548, 28033849], [54229624, 78061070], [51987596, 95569027], [7107654, 61910232], [8623833, 72780058], [1497564, 19488050], [75858128, 26038411], [29286602, 97579663], [43789438, 72885395], [97729035, 13079950], [81229085, 31316384], [90361412, 37094265], [31644519, 41034720], [47750571, 58317368], [36532060, 33551823], [48179644, 33476265], [93225770, 90644737], [96598697, 10640517], [13688265, 40605043], [3847878, 10140350], [25515897, 29641149], [21908900, 83005789], [50596183, 27427768], [75257474, 25492626], [47700027, 52640510], [89417087, 745596], [80415465, 37935556], [77953084, 94132842], [94156542, 20222284], [83608641, 74518098], [67012023, 63220815], [93352735, 95585060], [94501459, 79033479], [10774627, 78875558], [23094003, 52017036], [3263974, 69904664], [68769306, 51320901], [27403490, 72379417], [42221275, 36756734], [57881351, 80716683], [68363782, 13958085], [80533201, 92090524], [13502498, 85950483], [59004859, 48826310], [8459253, 45598940], [3411209, 98568215], [91130226, 81342753], [72859035, 11176241], [10680832, 87058083], [41003169, 54650977], [43606052, 40753310], [15221450, 45872576], [57537719, 97714797], [49691093, 83981281], [1640365, 46320757], [59569400, 71887149], [61148891, 74925476], [54644649, 69724024], [34019013, 13159611], [93684563, 21321866], [49715547, 14433638], [73450644, 83528658], [33042910, 54428376], [70298998, 62909799], [48745826, 52607343], [7994489, 13934064], [18740687, 61212085], [53053464, 29027182], [67538683, 26994238], [23149434, 71176571], [13755026, 93811632], [87802070, 65381918], [93311527, 80931136], [92842995, 80550485], [84592996, 60569593], [20882389, 27584939], [26133764, 87538704], [11332408, 57087434], [37071937, 68413350], [74214304, 8850852], [82838234, 89426255], [81691812, 77762399], [90100454, 62632002], [27759995, 17746850], [5302148, 96264592], [23076284, 46311470], [12764782, 88001142], [16990781, 53203267], [20285723, 92436991], [44201342, 88345856], [21760634, 48460924], [50423305, 51889870], [57082032, 59037004], [54279251, 63178836], [12143784, 52005804], [20060066, 71650260], [25282817, 91253079], [11846733, 55589234], [63809875, 95787345], [35987020, 21081848], [87239440, 65472672], [56168212, 16244193], [3212758, 34093490], [33377287, 64018128], [33620235, 71812568], [74746061, 4998338], [97247794, 94020460], [87328605, 62667771], [8039784, 92361786], [57085166, 22982637], [25200405, 13149127], [46797042, 2284409], [64051392, 60420560], [84057754, 59350164], [19967638, 38769623], [67517003, 29006641], [42277513, 76487708], [37420981, 65962639], [37080260, 66618003], [39946044, 27416272], [17001526, 94349162], [41440212, 57666531], [5591976, 29282230], [6147866, 56062056], [74307730, 9037060], [91217111, 24709327], [99794378, 51762532], [13395892, 51042952], [47468125, 73856513], [10897232, 47827041], [83082044, 51668022], [72892697, 43153638], [76519075, 83828371], [71975216, 18521295], [79680025, 8265519], [35367441, 42754544], [94513881, 80514605], [61956204, 39029929], [46583743, 11193881], [10877970, 68172067], [9990707, 70049390], [95173245, 63470359], [96340625, 63640054], [87522317, 22518424], [43593572, 22465527], [75769787, 76544010], [90120839, 34293792], [69164328, 52094925], [22450749, 70091871], [95927064, 41578602], [65023116, 69364144], [87504637, 78104047], [59925298, 10063286], [72609721, 27439646], [70080681, 83968613], [26272686, 9222695], [90713399, 93723946], [94612358, 30993358], [74621026, 97601837], [96245720, 96978824], [77491478, 26150779], [55549568, 35298653], [60616599, 17612290], [79431167, 52119480], [31258739, 11409850], [84818765, 1273105], [8672318, 68925830], [23834108, 94600584], [86234429, 37916723], [48546603, 64962285], [98245662, 32839907], [89431616, 84154455], [33384503, 75023547], [25937728, 17134215], [82019015, 61746966], [84961198, 94480886], [61455404, 6706873], [13210935, 15446942], [43133540, 33662695], [39461549, 84948268], [18653283, 22067272], [80993543, 99033534], [40921214, 35017782], [40218672, 96656934], [54427434, 81079181], [39095363, 45079274], [23372279, 34100426], [35073726, 35257146], [88738032, 69669136], [19707871, 90547819], [20770505, 73425633], [13838365, 88084363], [9417268, 4300733], [16584505, 48825688], [34310578, 67519969], [21037671, 78420069], [44670698, 62401351], [86326603, 40694383], [2994964, 68233116], [77180595, 92048117], [55582588, 55026361], [54248964, 22668507], [62230239, 62578434], [15489205, 10531677], [12498131, 60125166], [40936838, 45147933], [6700128, 2933651], [35049143, 8873627], [2256791, 85215474], [77511196, 28128332], [47228064, 68425678], [42436912, 52053973], [50898476, 26782318], [71509001, 45974284], [41710120, 14526984], [65391388, 14876153], [3625865, 17514991], [71761560, 25801531], [77661301, 5061575], [74215006, 21816374], [77146546, 38233639], [16561049, 54327096], [82897493, 90240547], [14200287, 4747913], [37738666, 82817951], [81804074, 45270661], [97505261, 38727999], [6679463, 68632654], [19188530, 24699909], [86598832, 33478800], [47241716, 60211487], [7281150, 74017411], [55219538, 51546522], [58078627, 91606993], [94357433, 2036345], [23859363, 27693719], [68919189, 95878958], [74212895, 76205770], [17444760, 24212339], [51998549, 88786707], [48580332, 21508132], [21540791, 25260834], [60108405, 74682304], [81352928, 63391981], [75842331, 42293046], [95636263, 25253727], [91231971, 96145342], [84809276, 2071936], [43707490, 48627098], [89816260, 15034649], [20885242, 33142443], [68833100, 17596868], [78477150, 52228431], [14586204, 52667975], [89053702, 21499423], [56908286, 91023621], [77982499, 59394754], [16163221, 37454045], [93232699, 28246752], [97843639, 14034512], [27181458, 57189000], [12966323, 29762772], [26731607, 32713159], [88685550, 13776381], [61953410, 61331075], [97443075, 55815960], [31460310, 41575101], [56501839, 9678947], [59597614, 16939942], [10694080, 12366096], [60336463, 76024747], [25606210, 41260108], [42171842, 57202583], [98874199, 40036521], [35979658, 5619012], [68801357, 19559748], [46517997, 20515464], [26842053, 2915312], [42321364, 88543983], [87807980, 9999449], [99617672, 45996925], [93302444, 37521321], [72156058, 56254757], [42421461, 50991810], [17415464, 48834073], [5659423, 39148903], [92576324, 44483685], [90893184, 11862730], [32326630, 37395230], [27223889, 53475876], [47562922, 47063383], [92754276, 96772235], [49125251, 16467558], [31780402, 38316594], [16780225, 85056373], [20982810, 91248081], [93640732, 35372546], [19456139, 6136758], [31280511, 96985597], [30181222, 3195447], [11129132, 47371456], [82579126, 81493275], [67338994, 24497285], [58295212, 35806013], [99653303, 30447343], [62256724, 98656916], [10251694, 52914611], [57782464, 33552328], [21819344, 40685745], [56999006, 56658458], [80857747, 15875116], [15999891, 16793675], [11855876, 2717965], [33529702, 26783427], [54019014, 34067078], [11996906, 50606463], [49474368, 51743453], [93652708, 72558961], [76791464, 30304652], [65662418, 32326390], [77186618, 56317182], [1502627, 1960674], [96755845, 57921494], [12308185, 31783541], [59891470, 96479829], [23762400, 70417988], [32076103, 62246401], [63458282, 53659138], [2155108, 15567942], [55979588, 47873968], [56646910, 99826325], [47658824, 15901381], [88421628, 55458369], [60018601, 27623437], [83828241, 13690512], [38262807, 16075670], [31390672, 55324375], [38881632, 23274369], [87495596, 12958709], [62599954, 52345892], [3336630, 14387324], [93472936, 63389274], [27605619, 55195613], [95285075, 49738096], [11416877, 96477129], [19088928, 90106385], [6787883, 6655505], [69885910, 18827923], [94384002, 41445063], [59111565, 63869742], [98034115, 39707617], [24956168, 78050186], [77512758, 30493570], [81708681, 2613179], [31673601, 57600108], [97122674, 73983194], [82317003, 13425707], [83896720, 66611508], [66562656, 28532906], [29547070, 12991706], [23078638, 3837045], [82415823, 10029744], [66720344, 99347487], [13258027, 84291828], [21917318, 14325273], [21298056, 23905337], [62935048, 32554479], [29556119, 71330348], [61695158, 68442982], [80323213, 74871611], [69408973, 42944121], [47289450, 62292440], [99308168, 68352662], [45548122, 71562566], [75202119, 89375016], [71152810, 31256922], [26210145, 88712047], [824943, 29447252], [97043857, 30377827], [69406529, 90301702], [49604889, 12630526], [93330961, 76540720], [85130263, 40685798], [10130839, 14250031], [39720965, 80385962], [3883556, 63364251], [58148217, 1770083], [60447094, 40825161], [73530063, 82416130], [65448429, 62956267], [57819720, 74994051], [44381197, 45791052], [9840968, 92404239], [51765390, 78731862], [13661059, 10008929], [87711005, 45320964], [79129648, 82485328], [64049153, 42670282], [85987359, 37050884], [90199325, 59663709], [45225858, 37329185], [16499448, 4438725], [82705668, 76737055], [28703529, 10856816], [69681340, 35251349], [32842806, 55685260], [21868660, 97137543], [8515733, 50514911], [65752055, 92602782], [93258309, 4023737], [60746853, 7640375], [28805314, 33758925], [9604360, 78521124], [63932024, 4838822], [23807717, 43086144], [77797840, 77577231], [47528365, 64424875], [45676930, 64035644], [78769254, 76180052], [68599994, 34261720], [95594416, 72526875], [26030992, 48643493], [49431701, 55312046], [49857273, 2107421], [1152663, 4000955], [30426542, 45629801], [68566711, 78398962], [94606643, 93279839], [66226633, 1157530], [94798569, 37479407], [87957645, 33303185], [81008120, 4745542], [8970209, 14346503], [35708486, 36923300], [17241047, 33678131], [32256858, 75935156], [16329804, 28397312], [84113030, 38104764], [98709802, 2554837], [88588770, 27987835], [61645855, 31586194], [72851386, 29177108], [10531706, 35460562], [53107961, 27992599], [11827970, 36270035], [77327240, 39712783], [58287556, 41448689], [54109438, 56441485], [94232791, 11707850], [7774266, 46325825], [31492122, 77640132], [29603310, 50419397], [95442442, 50457564], [16938132, 83290238], [62430825, 38753449], [53080683, 93183236], [15667128, 38231348], [78595402, 42570075], [1202580, 93320568], [22466396, 12812729], [24461105, 94185584], [78056822, 42608924], [79095340, 71126521], [19382933, 60797027], [17329760, 9156047], [93905519, 87719586], [33101372, 85180987], [35130976, 73416417], [24372223, 20961139], [21507391, 86613340], [45580246, 32280040], [50734015, 64036038], [48345814, 34459079], [81144911, 37484489], [8704039, 59995829], [98481286, 97342223], [11530533, 21112597], [56639078, 6751874], [94651645, 25379594], [29750576, 61273732], [77791605, 78667855], [49186887, 34754664], [8517443, 63565151], [68315041, 97196738], [58442487, 67872128], [65978827, 68895861], [25775629, 81186502], [45316465, 67110247], [69703486, 595616], [73087180, 98390889], [1553220, 24401276], [90775813, 29541602], [87158889, 91408398], [67574595, 39608976], [38273084, 60016351], [14519757, 58912932], [67768958, 65567746], [11474224, 82591724], [29641398, 64469825], [64816001, 53187328], [20901980, 81570027], [27819562, 92979215], [49405174, 14388437], [57731194, 67902995], [81369374, 2935660], [4359602, 15806555], [70154609, 97942044], [43179462, 47093435], [31052943, 78891874], [98375569, 48696450], [29381644, 81927340], [70419324, 5063754], [23460071, 51028246], [73860604, 30714500], [10526537, 91594692], [91548451, 35932254], [59367022, 20607633], [67165019, 55912862], [56023422, 53375512], [49366340, 89413256], [81550491, 59164637], [90425400, 12619510], [8811427, 69545060], [12371356, 53912192], [55925011, 91104129], [85085840, 32351187], [27834629, 69341369], [32720040, 6449774], [13286802, 3946033], [768992, 23150881], [39516923, 86074229], [82955596, 34881743], [93923089, 86824047], [29552282, 81843016], [24777424, 84560797], [74996304, 46214747], [24759634, 72730268], [54511187, 61943183], [60007525, 25855109], [22945763, 15382677], [40602903, 26739860], [77344215, 67041970], [57090662, 78426536], [99968576, 65181814], [39394290, 3637560], [59330484, 6257687], [14726622, 94254374], [59467592, 62167910], [60693821, 9548032], [66199725, 55808131], [52687588, 54980571], [8988840, 56539906], [86861903, 88703418], [92257074, 64347027], [93778189, 55680604], [79147404, 25857968], [78965099, 25355125], [71725454, 13801873], [81224976, 65160951], [95614597, 78890613], [18114313, 13401886], [20433117, 11658826], [84414080, 86614827], [40988324, 61549956], [76752814, 98568097], [41079500, 25520326], [39442362, 60410521], [54863384, 83838191], [4877132, 45815223], [31801283, 20281644], [87920509, 94522005], [9268985, 67456970], [23000822, 48615910], [7535290, 15936072], [70111712, 82836543], [4736547, 27992776], [33393762, 57164370], [28716315, 56047373], [99197161, 26081671], [7575163, 37397556], [38862242, 57263397], [38339360, 78328840], [64382789, 86630653], [38273239, 2735302], [5317867, 41858881], [67675143, 43733494], [46968772, 98706730], [1273971, 19138094], [48450540, 41859830], [56527527, 25278296], [27474611, 56992102], [48226211, 43856601], [56426615, 75035856], [71724472, 98711860], [73116266, 70502093], [97216663, 57049243], [38805470, 40844993], [5417492, 64438848], [20845199, 39694494], [92930605, 18474874], [28545452, 73714927], [73453654, 16672340], [86061230, 34062920], [6576562, 12326061], [61566359, 88900726], [61955158, 85479259], [89857576, 68724804], [33889096, 85328356], [65388152, 50418683], [30633056, 66002717], [41485648, 77622234], [77074257, 38516429], [42032433, 85835012], [64070275, 10251953], [39833635, 88884552], [68941353, 37927248], [13069384, 70416480], [52530060, 41627156], [7599617, 91292549], [74381005, 39975769], [16417768, 29353865], [9816279, 6599280], [94714905, 6969667], [60728016, 65540558], [69803969, 2463295], [54110683, 64288464], [83558626, 82060176], [69556665, 86969167], [4192499, 98436614], [71183758, 57785470], [35039990, 46180091], [60530463, 50963300], [54255886, 18873119], [71905567, 82036971], [1081001, 75689468], [67070224, 16917164], [54858877, 40618458], [20302795, 95372602], [22275598, 55621453], [57559251, 5200432], [97325544, 28795399], [99841030, 29371093], [55975917, 23334889], [44402456, 70691748], [86130328, 59710531], [98112225, 46857228], [7111190, 30573931], [82770110, 83776763], [7997280, 94713386], [59441688, 64313602], [83784672, 53612536], [72063489, 37040829], [99654278, 99599722], [19348213, 7653839], [23611698, 64470188], [56429622, 43912538], [88502785, 40907690], [95588973, 84286829], [34295400, 3265759], [69633688, 59760823], [84143422, 68081978], [32884644, 8683524], [64506230, 80683537], [68761403, 900429], [15070031, 43870392], [46501482, 56933557], [87005265, 64320594], [94538481, 27390483], [22954841, 94837709], [91651308, 84232754], [99567557, 49192667], [24800256, 88733266], [86065280, 24092618], [42964891, 53807592], [36982924, 63935049], [1163743, 59020714], [31500619, 61881869], [52137261, 76638912], [81126130, 3458331], [61403772, 88407770], [7212964, 9628631], [79384204, 45443388], [25764822, 27966976], [99446144, 54283793], [57038942, 39519831], [80403121, 1677492], [1598737, 15843696], [67783108, 41789827], [41857911, 85615893], [47542395, 73008895], [20068114, 5423255], [15243103, 55326011], [48485093, 3505901], [74623368, 19637651], [73177744, 3674883], [68689223, 61035526], [62478815, 14389513], [54098901, 15747703], [92545936, 54896865], [3454984, 22102908], [67024236, 28636911], [1339922, 38542775], [77442278, 93688739], [34110348, 52036098], [54251545, 24136131], [48487319, 21611708], [84285629, 23183136], [87677605, 3396559], [77077343, 33970020], [68059401, 7894251], [97061941, 61439987], [42557598, 75093023], [62375088, 87687717], [31620955, 31570779], [87018527, 9207571], [13820006, 75488809], [11121169, 86312903], [82229212, 80674852], [62720559, 70331321], [50675124, 27903010], [76895227, 81008072], [58910002, 65588089], [48711720, 27937511], [46220880, 23701039], [79658583, 83256267], [91788776, 83474880], [15026454, 96719185], [98562739, 93753406], [91250824, 79099730], [72683883, 99085621], [82551246, 77650162], [8700456, 66156658], [53380673, 62013890], [27808172, 34382598], [69359306, 90702295], [17631143, 71219856], [55885275, 50618048], [94068590, 35468367], [94416550, 77896196], [40838064, 70140551], [45613212, 73357039], [65131803, 14419758], [9514454, 96563273], [17279486, 37626235], [45801751, 80217936], [55256978, 66093081], [73112789, 10262565], [52630392, 47001380], [75616394, 30268693], [3342528, 89450776], [43519964, 49858410], [69933761, 53950496], [58600147, 88578782], [50514718, 75012960], [7643172, 302014], [38356423, 88238893], [91903544, 69291217], [51689305, 28637411], [64370746, 41029601], [77052518, 72156033], [61387008, 13501343], [23557567, 51637127], [28057678, 66790704], [28237122, 78643400], [82156348, 17254497], [51846072, 68802391], [8399756, 12624798], [65090396, 40416155], [99949807, 84256140], [16502240, 1419925], [50208582, 50818604], [1961583, 93164819], [28829756, 35590448], [15965564, 90645593], [56024806, 23426852], [85603748, 42794385], [18807456, 85011434], [12742439, 69260258], [98600600, 96062295], [855019, 81059541], [35831267, 30901362], [99261789, 47650143], [31058359, 22636079], [73800088, 51904611], [6719960, 45320646], [9818774, 38268591], [8278300, 15332944], [55994653, 59319414], [41639991, 62901786], [25622033, 37063657], [45618396, 88782817], [64694369, 31992675], [49526144, 56769836], [54132211, 67761520], [63020762, 89102219], [97586797, 33521182], [70932718, 43207302], [38499648, 51034542], [73234093, 80533150], [4730147, 94736295], [58966779, 30526792], [50365518, 22693134], [93564487, 81501089], [66060018, 37251837], [65249865, 95025809], [84861699, 18517130], [62907266, 7842321], [80618378, 79580484], [69561792, 69592873], [4417566, 46868855], [36801508, 95203970], [11407214, 73867544], [88821756, 53106075], [61661580, 54247928], [84166232, 13524309], [29875997, 61627555], [8121308, 63719690], [41933860, 66913325], [17804658, 39867725], [4128287, 24448800], [73675158, 62578667], [20080751, 29733832], [61800080, 48261217], [28938227, 85126968], [75424621, 48099780], [70427395, 62057043], [78500707, 91848902], [72434164, 26186203], [44893166, 5899444], [89700141, 54615687], [431722, 42918261], [1908282, 46736806], [29982346, 57396532], [61781971, 48604034], [82898384, 71934258], [17039974, 56115722], [10286899, 90408245], [14345275, 5431850], [59929729, 51489116], [19827856, 14807424], [54061571, 87566998], [3027599, 20749075], [59683354, 86867447], [5695, 58257617], [72815675, 5176601], [51458141, 57811469], [96593212, 79546853], [81224303, 42221913], [65027070, 53392935], [74143255, 90702509], [3304311, 14918089], [67478214, 4138775], [8655002, 49228664], [17067488, 45402696], [7338178, 40383230], [29632980, 96534886], [83114573, 920847], [33306900, 8895473], [43165001, 19814304], [89160230, 49474751], [91613481, 79899131], [27609298, 73641112], [37283685, 13871060], [91592070, 94142277], [32327553, 96328809], [74952329, 50489], [41387474, 50016838], [80485317, 46363806], [6125869, 5562859], [67522985, 47063139], [11389896, 34918264], [51523240, 70174813], [35552092, 1922603], [72227678, 63940054], [24478399, 58978972], [872979, 86261851], [11887797, 38457378], [67890875, 45146466], [29311800, 96164394], [54195101, 64236170], [69024491, 20879106], [2825748, 98304648], [67564442, 24872343], [41915633, 7854193], [12372966, 48303027], [53470933, 16700261], [30835166, 86821602], [81206081, 90186003], [82043332, 40763569], [20210173, 13729167], [46662353, 39389742], [2631528, 60472066], [87101300, 22561553], [10067947, 36688152], [88963734, 89504300], [75429148, 50332184], [17587005, 70428926], [76351968, 28167148], [48930257, 33979604], [48145556, 74761759], [4046458, 77232555], [59301612, 73410826], [62365246, 63514349], [31949943, 80771251], [70310258, 24369149], [65236461, 66240097], [77027690, 35870139], [54892914, 17127875], [45550549, 67673155], [82931930, 57517202], [94358018, 69269562], [87529214, 68460336], [20844568, 68510995], [77696179, 52983833], [39665984, 88417150], [44832077, 90543269], [44151889, 39137248], [96023915, 46082836], [68638968, 80560814], [96208264, 20101002], [46357276, 49724514], [52778163, 25951097], [18428773, 53178958], [30407287, 20774111], [26175170, 89100351], [80822589, 44222545], [55403927, 93446452], [27422009, 21759771], [43317419, 87623328], [93989482, 10770370], [20863325, 26371813], [99299320, 15325886], [25145698, 65981835], [74364670, 60362621], [1133598, 57340675], [38516568, 88522955], [87643796, 98580324], [11912203, 66020649], [19176432, 36129131], [72915830, 35790131], [73561480, 69837817], [90791903, 28680257], [77378267, 65441547], [40019901, 90860449], [49714403, 92195142], [34209448, 9459993], [15691872, 15971357], [31790618, 78051535], [74942182, 56726489], [80428237, 1305107], [27977202, 36377907], [34243724, 47066547], [22854328, 27163363], [96163528, 39716395], [22675841, 55273875], [17579666, 42617521], [41183057, 49944348], [98967750, 88980128], [56349250, 95745991], [81362594, 26933666], [12336255, 10479987], [19142617, 84101026], [73710694, 15494467], [24698010, 25399457], [1689024, 32642085], [81834670, 25898516], [17602807, 87812063], [67481974, 38283781], [77898079, 36298093], [37964638, 71689322], [10084416, 42015655], [47953110, 58194486], [9918158, 5874520], [69263287, 77349011], [70631041, 29228909], [84575623, 88107286], [95348046, 21357938], [10449377, 51777915], [95605495, 60112771], [95029057, 32112786], [46064763, 87585986], [35483062, 3147420], [55637399, 87725920], [62002798, 69644887], [8483517, 82879268], [32998090, 44777888], [48807073, 65564106], [25999432, 3337022], [32229461, 39764843], [28141181, 84108466], [50286920, 79530823], [26762314, 82384601], [19033912, 70674532], [45486780, 76873949], [84439966, 41466373], [56795502, 94958742], [79077893, 46762368], [94099865, 84035027], [40436260, 86501921], [52535545, 75517700], [32696028, 95864501], [86290321, 92327668], [94191843, 58005771], [95056381, 11103570], [5105885, 75430578], [14051534, 97181748], [18839673, 50913544], [43529774, 88205717], [13686627, 73570116], [29133573, 87378767], [26383304, 67099527], [84183690, 21524582], [36166279, 12535242], [12857218, 88462416], [53901377, 53971740], [36673994, 53424765], [67387413, 61738410], [9222877, 96731126], [50899501, 74813976], [32475426, 90242071], [56342509, 58147979], [21424925, 81990218], [67496654, 67010035], [32411546, 17333661], [97996318, 35356816], [91491101, 67621139], [23304852, 97700009], [59180075, 99509809], [47105992, 83084984], [65628529, 83647536], [68367551, 65599229], [95365586, 9430331], [81860238, 43378624], [80735608, 56421859], [66509028, 92672218], [61652763, 29617169], [6980158, 10342586], [13952719, 62992380], [44770964, 87420487], [31015331, 13589402], [84619411, 60050986], [73539282, 96928666], [81000412, 72210278], [82383877, 68306113], [21008655, 18841837], [64446321, 24000864], [7803901, 26126069], [23285368, 54749633], [59605535, 35772920], [40409262, 19166586], [76102756, 13263798], [59451495, 96523118], [47130355, 2431479], [81681104, 11839944], [25459329, 35440122], [77439391, 11214183], [91971924, 88744755], [36328997, 94768946], [6110504, 88594484], [65738892, 20764995], [84821501, 58643406], [17597307, 40575785], [66900816, 16260622], [96788326, 88750119], [75045953, 71194833], [48988063, 84832559], [53663955, 39523279], [24635682, 68162075], [84672420, 1130111], [64426877, 98199616], [76746597, 21319426], [28460044, 91934897], [50289295, 6369587], [77676774, 91584962], [16518258, 86805138], [25962322, 6896492], [51314150, 18758266], [19090121, 92774405], [86575273, 85715214], [97862923, 55761715], [86406485, 95780322], [97261244, 50604874], [52427184, 7551096], [90124188, 75335787], [61253382, 81101179], [78272291, 56204462], [63724156, 46484024], [31401086, 47069467], [48249428, 45570192], [9827574, 14670340], [10490553, 50749362], [28370604, 89922114], [23889842, 9149176], [69785186, 42538690], [3360572, 54841181], [95089266, 35492893], [59505453, 69126931], [18582169, 670948], [70436285, 73289750], [82723226, 66207097], [90705722, 46571696], [62402001, 98727177], [72301205, 10894304], [3559446, 4902883], [58627333, 41119219], [25591203, 28284112], [40511595, 83557153], [76254521, 62539141], [4333178, 74242499], [51493443, 79128842], [15452681, 22671521], [80578101, 46511757], [62442220, 27765937], [79218302, 21277280], [74196958, 30536833], [56644834, 34041737], [84345047, 87944580], [6508252, 34590877], [75832691, 17051251], [34533621, 45411390], [41999297, 7431291], [22456322, 49413417], [1070272, 24923878], [67950474, 920049], [32091359, 75345190], [74431623, 69614591], [85341269, 89956706], [66311154, 24072982], [88250105, 61553923], [44634810, 5705846], [74151999, 16029858], [38404641, 63228078], [83530303, 30693260], [88763248, 11766413], [7893635, 56832646], [80498757, 44507541], [90937430, 46655113], [64050371, 32793453], [16789435, 16529535], [35399310, 24629065], [80639538, 89738522], [25663402, 36636547], [88947135, 64465192], [38911223, 15224192], [44240337, 92102194], [33608492, 97360768], [9382352, 70291380], [16162871, 51209954], [23793843, 21119979], [19907947, 14552331], [30649172, 85957337], [47477982, 52745992], [6834930, 33806616], [79462613, 59584584], [12564043, 96286791], [56233473, 32166962], [38140778, 71302615], [49931456, 98125863], [76068989, 7060837], [26579674, 85204155], [99259593, 98889748], [45749816, 42215196], [59430275, 63577802], [13977277, 60056472], [17032558, 42372369], [94745881, 22333838], [54074331, 72053575], [49772377, 44808903], [19466647, 77380216], [3019139, 61512385], [7000448, 64150834], [97632156, 43085811], [82986187, 11794850], [99727283, 34821127], [21112205, 90870505], [7267821, 4929875], [5617117, 7263171], [41037286, 25232727], [77908398, 4288261], [69530554, 13064765], [53788821, 41358487], [36787940, 48370224], [7068474, 50012453], [7721718, 11510105], [22826056, 33269389], [97905608, 20607913], [51699187, 38907496], [20679641, 27414664], [22434020, 99172203], [80367341, 95507189], [78235522, 38500934], [14707729, 19015223], [16611626, 69270037], [67737320, 53066285], [8273613, 11714651], [93441488, 10288566], [39153789, 40424440], [33899154, 10217100], [43600767, 658837], [58562398, 62038364], [34596955, 16516511], [63616254, 93560421], [6192729, 84724444], [96803139, 16778041], [69819259, 94140322], [1627287, 34681758], [60503137, 22084695], [7253875, 34414041], [50637939, 82137934], [38217718, 5130265], [9287164, 76840429], [68392480, 55829118], [83823667, 26790835], [471245, 27730698], [7945240, 17834227], [52677885, 79563146], [76891248, 25573443], [20161665, 27974427], [18806843, 38544787], [44395096, 45606055], [2890182, 99853790], [30711620, 28663006], [82119314, 48239409], [16563967, 57008388], [11010594, 19915511], [91801889, 74258321], [72226407, 48189874], [77236629, 62474625], [60850726, 52296711], [84464106, 94190545], [36473172, 89588557], [98132701, 810633], [63916199, 56845364], [84343533, 60996605], [64849120, 21947479], [64367434, 64036089], [19580013, 87066654], [3562624, 47638659], [86710926, 8046376], [39313682, 33017906], [10744365, 66024771], [24688749, 7158129], [33551118, 3781832], [5855074, 79236961], [44941735, 65610558], [39006423, 32056399], [10742899, 50967913], [56724481, 71780696], [65859619, 4906162], [22655557, 70376204], [77877815, 68393283], [23828537, 2157736], [24736287, 98865543], [85051559, 95989619], [36885186, 50763833], [68660748, 69237208], [31245185, 1817063], [14594441, 90569982], [92100327, 78566051], [20507510, 18227411], [54487574, 14412362], [60771516, 58590425], [67854942, 69073358], [44095078, 24201654], [5199390, 41382164], [36872609, 54930031], [60705317, 44193836], [82037645, 48594649], [9542631, 74030541], [38095165, 3830872], [13102714, 18000879], [38396038, 72725029], [49308450, 78589434], [48578768, 86091413], [99545791, 38780211], [31786535, 64490868], [9265407, 77861623], [4979302, 12482238], [9455879, 96557527], [34221728, 34005404], [47690999, 99390140], [49130581, 17705872], [38596357, 22066174], [53916555, 1556994], [99839365, 19059757], [58711193, 17273738], [615187, 73654556], [80981459, 91460735], [86512987, 75283854], [68778530, 87077702], [80073162, 58407673], [51964702, 77725569], [59659048, 26290407], [58716412, 30538564], [79520189, 4545426], [25607502, 48396940], [3454923, 95030030], [5184195, 38310227], [70411850, 54035589], [34769461, 37767122], [30394969, 41905926], [45210787, 49039293], [27375742, 10601253], [26857796, 35444773], [27796846, 320521], [50556507, 3467886], [2842852, 853504], [76232117, 73953351], [5861994, 31944950], [23316363, 88789351], [7361041, 82477450], [58645643, 16354960], [43923615, 37155999], [35712207, 27710674], [84983340, 58726899], [25297294, 60335865], [65584945, 99262361], [22347960, 68952592], [83272233, 64789397], [75065293, 49795759], [88861460, 12048091], [94983102, 72893398], [19265917, 55409747], [64887751, 52546598], [2428735, 73563285], [69551213, 53723912], [61276149, 49229496], [62792922, 33329246], [40423637, 62362396], [26389356, 98842533], [72037993, 62288159], [54545675, 12168863], [25935444, 79531419], [77976350, 77745778], [25144460, 32860997], [85138875, 26215618], [36929440, 84162664], [48929474, 13563927], [72690305, 83541515], [72205325, 79372429], [39979710, 28654782], [51119764, 28918299], [97621957, 93660731], [76620134, 3737579], [99481548, 54277137], [29160752, 25848010], [95744067, 81418710], [80705837, 47698821], [36328256, 33594905], [55902996, 66195854], [55208297, 42062070], [77894993, 72460935], [24513986, 56894980], [44306413, 96396323], [52127559, 71002937], [2885863, 15003243], [42602561, 4241103], [42451692, 4914651], [32479726, 6931080], [81699833, 62346279], [89935700, 65309506], [28104656, 13293084], [52480688, 36611321], [93252448, 80834464], [87947906, 52585340], [43520806, 12931897], [29003826, 95344064], [38837172, 46406010], [81512071, 80171955], [31473900, 98815918], [10261886, 64924534], [66190350, 88169142], [34862330, 86905915], [29032859, 34178902], [90317639, 80737414], [71111283, 59896950], [14374026, 19698938], [21603683, 33439888], [47575322, 91577593], [78228185, 37592513], [19834029, 23897976], [12542126, 50097884], [56529267, 7100178], [10455502, 7691635], [46944684, 1081216], [3024227, 24847733], [15333410, 30792138], [96314287, 34674162], [66733417, 94195732], [22433549, 38160459], [16658523, 56260757], [75224248, 86525535], [23889943, 63818446], [72967459, 40325057], [51473024, 73024074], [66857583, 52197402], [38058893, 26448714], [93107967, 66198093], [78031306, 83706335], [48445033, 15514416], [72545322, 2110383], [93132922, 54298776], [42956808, 22148899], [41253146, 75117847], [64022035, 84207570], [90152783, 54787394], [95445364, 29092969], [59699399, 65767026], [99240340, 17008161], [5815023, 71917860], [50372325, 6185281], [25637510, 88207750], [88023415, 10255734], [76216692, 34616537], [4498200, 43853081], [59858941, 89259896], [51193699, 46137862], [42423814, 7283462], [98544379, 87023293], [73050189, 64761507], [15357569, 94393334], [91181017, 23969047], [46582494, 38854014], [26764297, 44596159], [98743914, 68522297], [25548354, 45786646], [71283300, 16255638], [26708150, 921109], [38272137, 8659877], [72215794, 28263685], [48847945, 33038155], [75996750, 66157052], [94564981, 68288111], [82076759, 77171621], [80893495, 43091988], [97693042, 27876886], [14549079, 88687187], [40672585, 21869937], [10081335, 15339567], [72727628, 72518865], [48575074, 91104138], [21201430, 80192560], [78153952, 80543478], [60981984, 34379154], [44991544, 47610705], [47586537, 30125387], [77470794, 75032221], [22077013, 83193108], [88967262, 45165702], [31060750, 72500526], [26904921, 98107961], [49575103, 37592149], [13070710, 13546192], [45965618, 99357042], [77412696, 92346642], [42307916, 37342810], [92578010, 18099423], [54075624, 63592621], [79899681, 12054275], [25018894, 89029249], [55814515, 67524744], [62182886, 10974597], [64721689, 15168231], [6343329, 2642439], [86813466, 33196425], [3983763, 90069184], [22708071, 77607920], [61642776, 64446778], [96615315, 67166016], [64816291, 69500796], [42242423, 6876269], [56508162, 86524440], [33239898, 57557863], [74937377, 90546598], [19363740, 22208762], [56434138, 37416633], [63086931, 17666478], [7850090, 41202932], [3189966, 73924238], [92385756, 10085495], [68547830, 381576], [36162116, 75881459], [97890845, 87515114], [99393320, 51608012], [26627274, 88901319], [50092717, 17950563], [13066496, 34722948], [64355121, 20234076], [35425307, 2531572], [24461435, 20953803], [35360012, 32880362], [26757230, 95967872], [91671471, 93601255], [67505619, 28488093], [17536312, 32788329], [50370253, 55230072], [43937569, 2508656], [28920133, 76169798], [5829660, 22505010], [99546180, 62448288], [64746822, 89137145], [61701470, 31600277], [96474506, 19136469], [21804321, 22351556], [60958927, 47078841], [57768749, 74348944], [19679173, 81420174], [80959259, 38972866], [3149610, 14624472], [78963167, 2754466], [5825251, 51749375], [24063259, 33185288], [64818250, 84053742], [45965857, 91377815], [10563762, 63327508], [66843009, 16813920], [50529532, 19740960], [29670885, 82698685], [12359634, 20553802], [87489900, 4677318], [67371062, 6471897], [30292078, 63783982], [4867425, 75518790], [18404406, 61295538], [69863499, 15716328], [32921281, 38902065], [13634143, 11805281], [67324759, 75984397], [69993604, 22459055], [51938542, 6510802], [64818318, 11964591], [76338600, 83853020], [1493361, 37436541], [27180744, 60394374], [1217832, 69877080], [40741774, 73848731], [31985680, 27970229], [95353636, 62113729], [44715082, 9792501], [27062322, 18993169], [62120494, 4650820], [41811064, 27003376], [15664338, 51459884], [95901500, 78560856], [86719238, 33092461], [21990672, 63954290], [1294794, 48845582], [6406491, 71794223], [3606528, 56026839], [36616734, 12702230], [74150140, 62227134], [6721751, 52705297], [45435108, 46578661], [41406610, 5229306], [84851757, 1944078], [86480830, 27076960], [98116781, 43209422], [86695838, 76157819], [51133424, 76451359], [94330248, 54065197], [12144672, 88935598], [67828503, 31181607], [23844056, 17398023], [7151735, 73500130], [60683171, 6302978], [98053016, 62020216], [98480436, 11751538], [72575969, 90241142], [71669573, 28988493], [49429644, 42136828], [21451695, 45897967], [56805351, 67257573], [25135489, 87697511], [77532154, 82566115], [55287995, 21551859], [92449609, 27114548], [97258416, 57029763], [90860263, 47875214], [53444104, 48782689], [25705741, 51152926], [55705177, 87668109], [41809585, 81383511], [31411874, 50758493], [83036869, 53200116], [21960308, 11206238], [82222834, 37465763], [4417232, 33234529], [78914105, 51573367], [56877246, 70129586], [60680481, 53307390], [180288, 23148335], [69726487, 46136523], [77308821, 35643638], [50942169, 76712201], [65151496, 52907407], [95086128, 10053434], [85172662, 49214913], [13029357, 84660836], [59105297, 93782250], [92650422, 41902472], [32565185, 38467958], [18765954, 7202374], [17830316, 25232859], [77651615, 98442658], [94319966, 93120304], [8243295, 86734574], [90986477, 81494587], [57835382, 34632200], [69848099, 17014047], [26651670, 41680046], [90526249, 77219226], [26612087, 53541382], [70984080, 382857], [28815470, 32562812], [16103912, 43815618], [92843804, 17951875], [43358737, 24807496], [67694526, 7281447], [99681353, 95283808], [81135694, 15741364], [62697709, 14963058], [6032775, 46956265], [59057953, 80718311], [47230759, 39584433], [23255029, 18391687], [17531131, 97324292], [29659323, 3243730], [88959963, 29612901], [64750394, 57194567], [21707813, 23792031], [40611111, 76889628], [18476914, 88162105], [34029608, 91268518], [65301287, 54594], [5385857, 13295199], [12463625, 96471127], [40478996, 25521421], [66433685, 67913449], [88202981, 52032462], [6010128, 31802492], [11942052, 6596082], [61550662, 91836778], [36813453, 91110005], [22540138, 1833373], [80276726, 50594288], [45805174, 64946228], [42912545, 91712160], [86770126, 61826188], [39945978, 48712478], [27383152, 3376451], [72687207, 83409608], [38306465, 63689935], [58865953, 69911840], [68513042, 99170395], [77140156, 76509182], [32608960, 83149075], [59556357, 46780933], [39414900, 16363316], [60591297, 15881752], [35973288, 62061343], [52589351, 74674796], [70380070, 47158185], [27432315, 90966160], [88253522, 42437689], [56128479, 18081740], [41892146, 40698839], [97373063, 63836004], [88401172, 20444743], [16552334, 62154314], [23264810, 15304464], [23846170, 2130161], [95988205, 70937901], [42186047, 96894810], [7326330, 49048911], [51674071, 22134840], [19958047, 18207797], [10998295, 79207104], [55393805, 77805523], [9289452, 18252110], [1493958, 71712384], [12919225, 56861344], [51107941, 25640472], [57984361, 90436645], [19185242, 87093543], [49226386, 27836833], [39061175, 19935834], [1290187, 39739155], [23705170, 42929260], [9286176, 19436006], [40686991, 93985602], [81250842, 67229182], [97908937, 1588794], [26152281, 3702850], [92028470, 32635860], [44864702, 53860936], [16234543, 68027014], [95250678, 5653353], [92443651, 2701777], [83427577, 51932345], [40899667, 69190608], [60811950, 51768079], [88966960, 57730350], [1752298, 70643382], [72562320, 84744953], [272378, 61622758], [64800083, 11105555], [28111177, 16577649], [50250790, 13483620], [47535931, 86151421], [18196384, 54643188], [88435051, 79395193], [11978252, 33974505], [4515605, 59246415], [15615721, 14972255], [31745915, 40076721], [53636556, 86044926], [19111326, 68147029], [82614542, 48756489], [51132268, 20791369], [59355665, 14224618], [37501619, 11626576], [4116528, 76070557], [28483530, 34039506], [3907722, 32780037], [42038281, 36161371], [25994776, 51013996], [38298093, 44799808], [8901923, 53577626], [47918752, 8228455], [45764536, 66831034], [45130586, 11878584], [89873287, 7081196], [69999853, 87607586], [22972688, 96535392], [85250468, 98515923], [1539721, 30356043], [78105117, 22078198], [44384952, 69931197], [697456, 11361180], [48755004, 38604900], [1686314, 19153464], [67933488, 82343737], [45926778, 65138384], [36335299, 94031255], [57361164, 43845976], [77005806, 81946529], [20341866, 2140456], [53526088, 97037379], [55254325, 16823021], [91245673, 496738], [88948114, 39136825], [98063425, 12034135], [7655781, 12022756], [3728113, 35983701], [49891602, 8983667], [68179092, 80415516], [90242378, 26437076], [51031582, 658045], [41777045, 85680896], [23603393, 75297652], [42598358, 86002197], [54784649, 10505370], [96278097, 98222297], [1122927, 88828519], [45104229, 81459363], [69157812, 72897590], [29044977, 10595356], [3890186, 99537515], [41829092, 7566526], [37021556, 74193971], [20372187, 44415117], [48508970, 45207953], [20203500, 10803835], [19636899, 64483071], [9568033, 72858465], [5501356, 15261175], [74849462, 41037738], [41721948, 44622350], [33339712, 87197193], [98732699, 59554023], [82043336, 13738881], [82687374, 58297651], [26361284, 41833724], [39213773, 23921883], [16267780, 32152835], [48489606, 15660093], [57041882, 48365179], [55424746, 3726227], [72662227, 62889473], [63257382, 5927416], [22640049, 73187086], [69370039, 35544745], [14114792, 73351996], [56808598, 10048444], [2396491, 92981848], [64532570, 70315442], [37532271, 66758657], [28331081, 41219996], [2224264, 95352777], [39867757, 37108553], [10226570, 14551206], [63821171, 33060995], [97518102, 10278466], [83193255, 5206213], [87422470, 97796076], [37245345, 54541624], [86266395, 23476510], [91580926, 62456760], [65953471, 63351653], [43303184, 79160308], [84064629, 8195053], [36087897, 93288103], [75050239, 83444883], [2838585, 15038999], [4961105, 95749106], [89322015, 92542489], [12863061, 70136048], [71003671, 51840928], [58522821, 55327353], [2890689, 92422295], [18935871, 69564704], [25383295, 38032456], [74758913, 43992922], [97521121, 21030697], [82215256, 77081592], [41422818, 69485886], [92033002, 46880585], [54741382, 5112312], [36784407, 33967689], [77136166, 53252032], [26525152, 66916756], [17773299, 57604170], [96740942, 44975930], [95000261, 57797588], [53456274, 17297970], [25772365, 48831820], [36547013, 56401657], [30889767, 99363053], [95340499, 57601630], [6283047, 24659385], [88341272, 78556656], [97653077, 18206648], [82283411, 55258792], [88497659, 18756110], [19281589, 5038352], [11583596, 70386404], [74672054, 29222439], [9739037, 46417129], [94846285, 71081594], [54932502, 98313537], [71649311, 42991142], [71692418, 88820264], [34160207, 64771030], [18349909, 86171469], [89238266, 13393988], [65191509, 2487074], [88054416, 80218742], [72352236, 7573334], [78770879, 58319736], [74654621, 73136797], [33346493, 87659108], [19780166, 29002478], [56527101, 14312893], [12998052, 22467288], [47980876, 76097522], [19858619, 53562866], [2539448, 27110525], [33140286, 47350008], [61682286, 39951231], [11266628, 65029386], [69203985, 54774553], [28988250, 61101621], [92899750, 36769441], [32864670, 52221034], [14077849, 89655474], [87150663, 41942355], [72466844, 42461164], [97154539, 94598591], [48688226, 64332983], [71827431, 86609030], [50277321, 62913524], [35077868, 98540686], [98747410, 34468558], [55003652, 31231544], [39377268, 8436156], [40189907, 89340910], [46853734, 79619599], [64532191, 89962952], [61628526, 41461721], [15780525, 241855], [43170315, 44486072], [48877320, 86577844], [68941091, 86142753], [42508932, 18719179], [18159831, 77741389], [49479984, 93628304], [78918325, 80890704], [38453503, 31043695], [59142251, 75361407], [97525, 53812897], [15663664, 21129821], [20736826, 90107229], [63150426, 9762637], [28631337, 91042151], [37105923, 99206513], [91486628, 42661962], [96464979, 18395125], [72848013, 32740947], [58658327, 61764927], [38075721, 98287101], [92339636, 48194697], [48351272, 67469699], [51126828, 81376208], [33819131, 68163331], [87239073, 6835725], [66089315, 50028446], [34755518, 25713386], [1640037, 45506218], [74211485, 72620582], [26407712, 45950984], [4087305, 15727811], [96745162, 53536356], [60009595, 97088808], [33295164, 89817827], [64173759, 32724778], [21235517, 47461036], [63725405, 10080645], [5379911, 9267580], [56452563, 50944461], [65667438, 82814489], [36494794, 72188245], [10059895, 14829427], [7554674, 45038275], [57155442, 13432031], [40795416, 49613929], [69252705, 76675447], [8005723, 89645975], [89875902, 25519521], [61043128, 70073981], [46363785, 10935635], [48599806, 19736750], [43286195, 88659327], [7285753, 38873838], [88534557, 31991271], [35566867, 23003568], [85459994, 54565607], [7994554, 2816693], [28388161, 36659810], [40339679, 91969203], [51372551, 48424339], [27716733, 19937386], [95746681, 95316814], [39332188, 21282496], [97319845, 32012864], [55957308, 83919791], [39215273, 18952097], [64896402, 5332615], [15156149, 43577783], [55942912, 61701095], [90348170, 12538102], [36990299, 56487273], [94713223, 96887148], [34952729, 4016452], [23207627, 25281610], [79825270, 12671154], [89124055, 37276780], [28382885, 71593295], [40359216, 23858145], [99631982, 12010048], [17786795, 18524213], [21836207, 32872522], [33476203, 46837426], [13968469, 5068513], [5009903, 58388842], [71465887, 10328273], [62483220, 88578740], [37064298, 21189228], [38354295, 47891369], [28387667, 72288016], [79891549, 42552943], [42773142, 22473788], [58899191, 40634145], [78231182, 17093056], [92445977, 75002755], [90414655, 56167158], [51669777, 41167459], [65417856, 79730186], [65450989, 48448743], [75587669, 85363682], [78875065, 89972098], [95989390, 23326055], [32940915, 30609551], [2749902, 10839975], [24232187, 69168981], [94129442, 84413208], [81638860, 94347090], [83817386, 76652290], [24942087, 35760921], [56687042, 75488123], [42840942, 52015048], [22636310, 75158610], [46319179, 45620119], [79216083, 27296329], [47776080, 480058], [48350309, 96052299], [75492281, 24721543], [95462063, 86793075], [38797086, 58734765], [63107003, 4432040], [7743256, 14053728], [61363360, 55549678], [33128330, 71882607], [63095422, 47057238], [10777535, 44857430], [60750002, 69420887], [99558187, 70698566], [87593532, 38091371], [31907604, 32123342], [10093053, 8964146], [90657432, 85262355], [62078955, 22514684], [61671685, 16061074], [79304311, 53211153], [54804294, 17432649], [40224541, 14367327], [76817508, 54987913], [79766401, 53832699], [57422965, 49950873], [31542860, 55641485], [27147813, 2402912], [71335370, 91374150], [82012900, 98976811], [35874337, 86633437], [18628954, 45980943], [38028378, 76045272], [15770549, 6653983], [28326836, 42901454], [70690127, 738557], [15018999, 78013467], [49988728, 39784106], [5257357, 51843453], [36932790, 64919809], [5762144, 8135842], [10421396, 62593716], [10704368, 11105988], [31939258, 19986422], [40852842, 69910696], [33570901, 27508515], [34036013, 35011262], [67117737, 55984965], [54730096, 50221921], [11268874, 34851578], [67435810, 32126249], [29425345, 97257929], [36137760, 76590641], [26915733, 34462661], [59617487, 87677881], [95530993, 56602368], [49601846, 940014], [67091601, 31423586], [67123046, 89752972], [68004834, 88873780], [66176548, 35425772], [84998315, 68588774], [67025565, 53745248], [68162896, 51660367], [3072589, 39131019], [51577525, 89531127], [76728718, 79441551], [38547451, 9318386], [38832311, 13867790], [98688719, 27567805], [73376168, 22027633], [25484462, 36597801], [63331358, 91765702], [33606648, 95782729], [53520083, 73109229], [1197600, 12606691], [87226614, 37289973], [2645356, 65277694], [97926690, 54948740], [80423082, 17109904], [74234981, 15781995], [10430412, 90220317], [7240910, 36718402], [65701811, 970568], [44997180, 92506486], [50129986, 3071680], [27653373, 5539781], [88181982, 63346148], [13855062, 85869980], [8718285, 5256230], [6798209, 72458214], [63461197, 33322518], [39684429, 78732390], [78765981, 36983591], [60013702, 74656115], [37059075, 63417046], [21288209, 6485392], [24108160, 13411760], [78624646, 23611099], [38163544, 2069859], [31634746, 25734682], [56815577, 18903631], [12756303, 35628865], [11323973, 45193111], [85019304, 68738774], [91710058, 3451909], [83384430, 56264409], [54565574, 59152196], [11221152, 88908668], [67422270, 74722124], [9415298, 6778333], [59539361, 30234948], [79886658, 75103648], [2474029, 68785592], [34580776, 39991940], [84041525, 65946125], [74257926, 36501365], [56105179, 43815211], [53482096, 59333081], [39817362, 60880679], [99563226, 34522455], [89664242, 4437285], [2733329, 83077637], [96150918, 64678202], [86300190, 10941011], [3924647, 88515685], [65100912, 2711769], [45209421, 78558004], [12388758, 52484640], [46527920, 34768358], [44247692, 70917294], [36789333, 90947175], [37121769, 16675489], [67657856, 36791191], [96479723, 90024787], [78942793, 11059964], [25716232, 65668332], [36457796, 800561], [43820085, 53964781], [41450298, 69980491], [45238327, 33074873], [14058129, 71026851], [36846643, 6294578], [50265369, 23577874], [24220314, 43837310], [43124970, 29706869], [36824652, 44442686], [65973875, 89503417], [95355227, 4483399], [89698193, 46931772], [48537093, 49643531], [82291178, 3522926], [86077557, 16506383], [69512269, 32024942], [14675785, 76890481], [39916671, 79523171], [68517840, 18656924], [13880842, 24209295], [97518727, 21644143], [99286424, 82599219], [36917506, 43572280], [88214459, 34391742], [33894355, 23198997], [29628544, 10787671], [95656002, 55466396], [58379551, 64537436], [78838807, 41077372], [60749271, 54178917], [23976984, 10089104], [26340016, 52514296], [67777847, 32756562], [92854656, 2493050], [86994537, 42294129], [79494925, 23857568], [48076185, 45927353], [52201839, 58012461], [30186376, 88269068], [77525815, 79772640], [43479568, 32189794], [38789259, 10465701], [15229473, 45027130], [96432594, 88202153], [73657188, 23423609], [89409964, 84695147], [51497634, 26919457], [98636649, 17182311], [81974203, 82089740], [78001207, 95296228], [91164978, 98603756], [59424276, 41025155], [46895863, 73525957], [42411711, 19257368], [815609, 44897298], [57711439, 65825907], [59210928, 27431941], [91773347, 75749809], [86741646, 57777053], [52394372, 76765610], [67882953, 73880021], [10970159, 55260702], [87675549, 250562], [1117502, 90564020], [97210429, 74507033], [79481553, 94396039], [87396109, 79786292], [16597491, 78759443], [9077342, 76194392], [90020291, 75401430], [88164757, 99725609], [25856915, 3042737], [85349191, 51496743], [47410934, 49156116], [55405795, 55387882], [82324252, 89793987], [91287805, 60603116], [97845140, 10840928], [45873548, 1170494], [83647720, 14807237], [79244673, 54882372], [27017100, 79068067], [81475482, 11179221], [97363169, 60200666], [49897112, 76692352], [62506520, 87322712], [40762716, 84448908], [97918781, 55709037], [6444603, 62304500], [62454612, 75211023], [93327630, 31664624], [4575865, 36582245], [44296746, 67124687], [86915, 12332092], [46026995, 20675987], [21818322, 27353228], [41235811, 54491010], [1263173, 5965348], [40745177, 33060909], [24319382, 44502872], [9730601, 71566654], [980329, 41893164], [47872927, 26522923], [4938780, 43837390], [23947237, 5116211], [41957953, 89876165], [94884816, 13133415], [87767398, 42213262], [65559580, 78335237], [81270343, 15841604], [36143056, 93351712], [25701707, 30368818], [6428143, 79304940], [37103286, 29236018], [10911119, 38414517], [83899342, 22407648], [93939927, 70381829], [9428966, 549184], [97040752, 39974435], [6633278, 49530402], [49904306, 24393891], [25945132, 82041214], [87578203, 75984340], [74783948, 95301644], [76800130, 3557534], [43305546, 13355557], [15721286, 97382118], [16164896, 29680578], [92657632, 99187968], [23041021, 57288496], [20865141, 29489674], [29546698, 20804569], [82215809, 96985657], [9183365, 47781160], [6818258, 57584096], [59094934, 8300636], [28749569, 29633656], [14974382, 21924972], [97304836, 83852256], [80973631, 223314], [33442582, 99740436], [77653822, 19614652], [20289471, 77887419], [98495074, 46873825], [12921769, 40290771], [41776706, 80348953], [89548282, 10932997], [17885536, 57092830], [31214963, 66738930], [47660858, 22635017], [13901729, 49613584], [6708075, 5411694], [96920383, 65570158], [64176219, 51636027], [20932808, 54587589], [25306280, 45447188], [92990852, 24691972], [8702257, 62435577], [91741096, 91789532], [26173073, 18785621], [20400070, 7771910], [10080435, 1338568], [90171642, 95192273], [35849415, 51175359], [70122873, 13099441], [63277125, 19381381], [13709549, 38845698], [77127529, 83652349], [58413045, 70243264], [52244955, 19031660], [8880546, 38643197], [9413831, 43408376], [40347541, 31309243], [33251498, 6939188], [34450903, 69978424], [667478, 35711727], [26462886, 91481027], [20657151, 81523172], [70823266, 99506277], [6604423, 17219441], [94630009, 44909890], [5232768, 96321795], [56047745, 88319068], [24111495, 41387233], [32720349, 66105893], [33620040, 4148200], [57186961, 99084300], [86674653, 46983420], [58997842, 41228633], [90571261, 73482818], [18742360, 32460488], [16014715, 11161401], [18403904, 75287046], [68917846, 89874394], [22128445, 31856650], [84291470, 84505262], [58952195, 21984207], [21043324, 85949888], [11905901, 82870864], [84174971, 47704120], [82192065, 2831133], [26585877, 27849372], [15396527, 59984844], [6375041, 6341533], [24784602, 22205010], [69125881, 20373593], [29661786, 76479930], [6656319, 54057211], [84568453, 68426648], [75779206, 51055914], [61111807, 25615094], [53738959, 98555573], [51074870, 91601648], [77280156, 97140462], [67944618, 69722970], [94694441, 32968101], [35939941, 94452737], [82078185, 77286415], [23693064, 87685863], [96730863, 6792282], [87028023, 64063647], [71694220, 38721495], [36177297, 97665664], [66018055, 30614777], [74763740, 30461803], [84575401, 36450880], [48975042, 77689672], [65944949, 31042176], [78764002, 7328607], [69602666, 26576151], [56412171, 36727298], [59966549, 7467773], [24085416, 21826525], [48750189, 80229148], [53988901, 38572206], [36152173, 71237413], [12152217, 87507985], [4449750, 64635883], [63884720, 51784585], [7459242, 55195822], [12791201, 35411142], [45799878, 72158711], [69264537, 46186356], [99254415, 83036171], [92416971, 70309795], [39383150, 39008375], [99365963, 7841246], [14555036, 92995639], [6703099, 65578158], [95728642, 68628954], [74700095, 2924316], [64169592, 85888288], [25168320, 50961123], [44387454, 3300359], [86408398, 45259879], [81021570, 48349711], [3909670, 28483399], [72519675, 8485481], [11437575, 81504728], [30388331, 35492502], [52462819, 71911418], [77863982, 51761988], [43025506, 70833025], [14471190, 93757459], [43396873, 3775337], [79986640, 65616452], [56837396, 5917748], [36906298, 15158214], [89273708, 24678573], [43365395, 55953650], [76254770, 97167897], [65637746, 14993871], [84545490, 11400687], [96033555, 23360595], [84822971, 44735542], [96012368, 28854824], [78673665, 22865632], [15595475, 95411770], [3798326, 31369289], [11775668, 18410395], [21733586, 11298544], [81450013, 98016551], [85163392, 72011514], [19470022, 11897333], [69162432, 14718714], [25435209, 14604600], [69262524, 56521094], [89026946, 77545309], [22333897, 47320996], [11749235, 43720404], [42358548, 71164442], [6111827, 11884381], [4089134, 47891179], [9789761, 19040956], [6514430, 40010787], [61919169, 23787888], [79615949, 52118206], [77250337, 33591289], [23493374, 16667525], [60005408, 3584902], [50640621, 9003166], [26382004, 84949357], [19980839, 58224110], [43670344, 662308], [43298179, 84162657], [33873582, 67519363], [36817385, 99985951], [52464219, 62975977], [51475168, 22138582], [56278457, 87289536], [11815977, 94719489], [78310836, 79064219], [36784371, 22048164], [71424483, 39081120], [14151329, 6072377], [38445532, 94572450], [46588911, 64902755], [19369269, 51090467], [62157392, 34085030], [86515843, 50567852], [69185638, 28825020], [2554227, 13945886], [77424192, 18909414], [20001112, 3157008], [27035430, 69327437], [52468264, 88518109], [77382941, 82494689], [55443808, 3892620], [67681304, 24745032], [36572081, 83896745], [59167687, 76005998], [5076030, 57396197], [69581091, 47116002], [2134570, 90671964], [85679860, 57079336], [71114189, 34832245], [50687294, 45688648], [99818368, 59037391], [22205303, 73648037], [51033961, 85406412], [41911384, 79026382], [34684215, 63479721], [5573862, 59341779], [53194110, 27836066], [76306133, 11935073], [7564368, 39335076], [6000356, 39073948], [5920497, 79097695], [9272797, 61027135], [89654236, 61962876], [7094546, 20186753], [831725, 71074049], [2226158, 41360752], [8330836, 3274366], [55459547, 29214023], [10513881, 24571668], [67090141, 24474596], [84525702, 84592724], [40110600, 38434039], [76105608, 66937849], [64337912, 64325037], [82320900, 89689427], [54511883, 16282489], [96658262, 95219033], [37095631, 24329753], [23974358, 43721611], [85002544, 63915539], [67871193, 68819091], [83469484, 39828281], [79013493, 19447069], [86955213, 66489997], [75450641, 10612750], [7591187, 84738966], [49101761, 26162325], [40500115, 47121664], [53766321, 81995008], [66690851, 98398705], [63047264, 11745778], [96274086, 10942410], [91259977, 20271338], [85935491, 41428892], [36265035, 12112564], [24237177, 29061797], [61278574, 29722691], [98322573, 18025384], [44500957, 76042440], [10965060, 48642582], [53487147, 99767650], [56800019, 47454099], [7324205, 30090550], [745710, 959286], [40853561, 61239844], [80968726, 85988366], [42891973, 62471417], [98868686, 24238975], [8661122, 17285408], [74367942, 84738766], [30575073, 17991967], [93412421, 80703950], [10308053, 57158631], [42881419, 63733416], [10481367, 61291774], [483124, 49649517], [61836563, 52106387], [44216783, 98889060], [86706704, 27723940], [58657216, 68961432], [79087821, 19657751], [78732958, 17053666], [7547910, 40345278], [47007723, 30198058], [87055097, 36801913], [78551310, 49743932], [139259, 3437557], [46948169, 25415206], [7843133, 4760792], [38996186, 93991240], [25367881, 6056248], [49539045, 9596325], [83461890, 68320793], [20530101, 39253913], [70541166, 91273787], [38150038, 94444605], [2470926, 64900607], [31422110, 19078291], [93574541, 22867377], [98788383, 50478837], [30582923, 57711193], [67570779, 84473991], [81735759, 49624278], [90444899, 79186061], [14181808, 21283323], [71079399, 79383777], [40783520, 85788347], [4328431, 27868010], [56876818, 57456734], [14036743, 39884347], [27995211, 25012526], [63151655, 49246685], [62604954, 75396726], [42108030, 3766579], [93529535, 95864174], [9885617, 83589163], [36222732, 77153193], [79982917, 96831519], [15697714, 98598157], [8827892, 45932508], [40048538, 71458398], [82308599, 54388697], [15209598, 28986487], [85209516, 36500112], [65012097, 62761626], [35014112, 9432272], [8116367, 91889055], [78053798, 47506229], [99219893, 54499983], [52816795, 43758447], [60314712, 31526383], [53135649, 53705881], [37788100, 81481635], [27313678, 61268886], [89535264, 1931787], [86940829, 83641388], [50258105, 84797492], [35474337, 63919745], [6085855, 96000434], [11914139, 17408498], [43768328, 18105832], [41022044, 12216531], [17659928, 26616595], [94460730, 901492], [94157832, 20516792], [93117136, 64863770], [58830770, 98024789], [70036826, 21464231], [46223096, 4343929], [70755832, 25837028], [39673562, 35938948], [19240451, 23888403], [81648066, 2260464], [22815820, 96973464], [47659276, 26295257], [50354529, 18429797], [29800727, 98378480], [47778846, 43920618], [12492394, 95664091], [8775413, 29094963], [56298930, 95735033], [78185166, 73032810], [8799308, 86927284], [8116585, 40438334], [96714256, 42543314], [8879461, 78229665], [54819135, 85297406], [74023200, 87961326], [15028941, 73982091], [37756796, 13942635], [32838436, 96742799], [36976356, 34562757], [55735927, 38843196], [66958574, 59192611], [50897141, 4380548], [63050969, 67147746], [14850983, 28237221], [29125498, 73791322], [5082502, 51497305], [45625244, 11389680], [55151826, 90648103], [37437158, 72197377], [26374880, 1855018], [26381355, 14401843], [70481350, 36067086], [60217736, 42442389], [14909590, 39542242], [2298403, 30703032], [49366446, 34270103], [67484963, 37313930], [43058342, 69993484], [94618416, 11997797], [85406447, 21967885], [91932225, 78243765], [17347765, 70398524], [78730636, 88480964], [86279959, 44047302], [3428547, 54925300], [53891212, 8805374], [53909088, 38722417], [82289844, 79337097], [36131545, 11029857], [9795799, 62704672], [77650599, 80525653], [89780736, 61996338], [27153194, 75771846], [58703467, 59675844], [12529664, 37703380], [8955919, 493251], [67217810, 25450401], [49638078, 85209044], [47980808, 56699384], [16541667, 58406854], [76686190, 42891930], [53343580, 7092043], [58332237, 12279703], [21452372, 80569059], [69641050, 35329310], [74751740, 20688175], [65516018, 35706332], [31848616, 29568590], [63178586, 84382150], [47539114, 75203530], [6116170, 91124346], [69766303, 26213931], [61953301, 91109490], [96398204, 10713077], [36426261, 65829018], [98262215, 67959578], [18759187, 40206320], [58097327, 28359377], [21813408, 73190234], [64927630, 68505124], [12862395, 60375279], [50469410, 60385623], [27067817, 90587460], [25846430, 20081613], [51676041, 37443813], [10088265, 16441500], [59833561, 96357164], [35904395, 64798119], [27745630, 2760398], [84684013, 47986404], [25890213, 70085780], [52090128, 18032170], [23756179, 90663119], [71171020, 63937294], [49518807, 95098525], [67087102, 8982389], [23819452, 7765885], [69764561, 9518546], [95432293, 42823963], [47399885, 67842270], [56384538, 52164887], [62721878, 93745461], [91759938, 36788036], [71745058, 4408505], [7513934, 54240427], [52853576, 27619658], [59230393, 64983153], [23144431, 581939], [27723533, 45717506], [91403407, 82673268], [67165372, 65914649], [36292048, 57198709], [86921171, 51352775], [41605604, 78736736], [80119450, 31921190], [74201181, 33095447], [43845594, 85112843], [15796091, 95612030], [68049968, 98528121], [40058467, 10963351], [32529307, 47944178], [99852845, 90649481], [35202048, 99333881], [50689603, 42676740], [98180951, 36914552], [37222388, 51537851], [12953260, 50078304], [67257075, 7635785], [69951480, 61821682], [7994248, 20105037], [46027875, 28290072], [98245690, 80328152], [11243580, 80390107], [86676980, 38545588], [39716688, 47806423], [10301376, 93070876], [96396237, 37698670], [84580449, 3779299], [35752041, 94135888], [91322822, 48042465], [15501409, 60899525], [13910171, 39939764], [40801342, 203109], [60834717, 65353671], [42632433, 6762195], [19203899, 27272258], [20570811, 82648040], [83465574, 31400098], [11206832, 90109642], [9455450, 33401233], [29144486, 88989902], [35936756, 17379135], [3606087, 98088583], [23722896, 67636232], [38432930, 62975316], [80945029, 23397428], [81949744, 43725831], [58421554, 24153826], [7549971, 38298808], [67726949, 66900743], [16807734, 98802525], [3201989, 32738979], [71857724, 30820240], [52095372, 28125542], [78020015, 97429324], [89373723, 49048062], [71373332, 69694666], [26516468, 80599478], [37043270, 26457435], [84962004, 26057085], [3727072, 38595766], [36055726, 65527489], [43310518, 90701701], [9872303, 20531733], [81735460, 20079038], [96140073, 44775061], [54849305, 57797115], [31136723, 7878765], [9574283, 35348494], [55416626, 36706167], [15746953, 67129203], [63163791, 89910987], [16335656, 67649685], [70058979, 14202837], [3680458, 50226245], [77560646, 37777504], [18259561, 3220805], [74218605, 32943467], [9213607, 28591596], [37494161, 85590130], [89023892, 11180177], [97443616, 61593072], [9377702, 9788576], [60444329, 52019608], [419137, 14243801], [94876975, 45659476], [66750272, 12898846], [37078125, 88222454], [15665645, 77455094], [28274833, 4989745], [59343170, 82816970], [76451102, 50216178], [97131942, 53371262], [32501421, 72454091], [4944984, 45318950], [26440954, 14742705], [44088554, 19287587], [16700767, 20039957], [37215429, 18035007], [5848751, 88104864], [12417467, 45803466], [96075668, 41509428], [53493910, 35280709], [52158663, 23473058], [92066331, 60637091], [42820118, 6877699], [31241872, 36768164], [20513176, 35065574], [92003489, 36261685], [34571450, 65156441], [44210533, 12469671], [53436994, 48552281], [34454218, 40389714], [76567608, 14976684], [92364081, 43506251], [759645, 23256729], [28791534, 28267158], [8172857, 18714095], [75393337, 78161933], [66225455, 3767698], [52277723, 54804238], [26257917, 63480102], [28665988, 52851589], [67986669, 13463088], [82684831, 77603260], [79985681, 84043634], [83195957, 31964984], [68367372, 82701245], [82833469, 42410422], [7468996, 25573828], [97633891, 26723536], [23421515, 95742126], [1525366, 41033223], [53116853, 64694403], [77222902, 89659035], [17891922, 56617778], [86275839, 11315717], [5439429, 51815902], [18111566, 82418251], [20637718, 63660425], [70283684, 62161182], [9098208, 23464999], [84691698, 18416970], [39265097, 72449363], [35747562, 85634978], [7277341, 87217109], [68059298, 23854916], [96533249, 26124239], [56917438, 5030611], [20508774, 62189453], [18905470, 55317563], [20084973, 53827692], [4672007, 61768459], [40046891, 93017473], [8230380, 85968922], [91663815, 54348577], [97588939, 91437988], [7268894, 29333203], [37822130, 72165607], [86500648, 85273415], [97201376, 53698351], [11448461, 68853885], [59330830, 35568586], [460622, 24989828], [51308608, 16350687], [14446356, 45528794], [81979116, 62346060], [55208706, 39918952], [82846107, 4244365], [23296959, 86829572], [48261246, 44813996], [9382267, 63353481], [62627520, 98243621], [1369046, 87201616], [95188555, 39934739], [98913314, 3521162], [55641080, 9399466], [36517105, 82172270], [8360330, 80227457], [11044325, 42211024], [24557184, 73549590], [63964741, 18903146], [75399028, 26405502], [39287190, 75955677], [50881053, 88122520], [55349864, 90846940], [55031899, 86931876], [31669376, 86129381], [42523108, 91259933], [85316924, 7678551], [48192015, 16794169], [5057788, 36650595], [53118935, 16702547], [15002553, 31332326], [4427253, 80704895], [34089351, 67168136], [6873410, 11614119], [51033012, 32882187], [76526085, 49554681], [93591884, 55806840], [60981087, 55512882], [41899887, 80309728], [49760273, 25905633], [55896351, 61808960], [97608976, 95703743], [19154071, 68122751], [26359706, 74029262], [61653076, 72118781], [19017140, 98381868], [15815016, 43404922], [59202738, 29430343], [93349307, 49681918], [28473218, 42771974], [55052658, 78923384], [21160967, 81248004], [27646286, 55276612], [2853729, 53314454], [77027812, 40836575], [65467700, 222618], [91501859, 91593296], [61383881, 32368057], [67187527, 15079615], [17042764, 7967413], [47464808, 11673419], [58537887, 13983114], [44635443, 7014097], [85104548, 6756916], [64783094, 92908806], [97023453, 82216369], [27300816, 23389839], [7540645, 72529474], [36525129, 87771380], [49844168, 82628681], [53451773, 22052252], [79591382, 49453633], [52219485, 2613467], [48329203, 8965634], [78185010, 39722983], [32420895, 69453343], [53507606, 20344951], [21126020, 91935069], [87692404, 55316340], [14133328, 35239449], [36765618, 52296943], [14614705, 45242646], [96832784, 69401469], [18393136, 43725972], [1068631, 72541347], [70081481, 85533134], [8601841, 79721811], [12578188, 55985326], [66024149, 50552320], [67379570, 12654035], [46804446, 94951000], [31554340, 33974246], [85418898, 27972004], [68163369, 19188434], [3508275, 61556337], [36417877, 84863215], [96501532, 12058926], [62526245, 8294356], [56115521, 8638265], [96446156, 48858786], [78913717, 2838276], [23372190, 43765819], [12358018, 78407388], [82407610, 8651201], [24810640, 57675401], [37789840, 94384062], [13924037, 83376882], [14935763, 81716863], [13878369, 81130400], [89289379, 56162537], [35116402, 40084961], [54216633, 90089553], [22809220, 92576035], [87589240, 13349624], [31004228, 19047862], [37523064, 39923565], [54287465, 31625258], [23508208, 90612201], [62043733, 68319025], [44983757, 32228579], [17872082, 94628252], [24022315, 6546435], [4068515, 1765562], [15329116, 24623791], [22676735, 96598594], [10646925, 23073654], [54602505, 13035795], [32301695, 86653386], [56142328, 41019809], [97045786, 73943549], [82487661, 54364058], [87018878, 42610725], [91294671, 89375642], [16830681, 35248951], [10347221, 9350249], [96920816, 37877584], [29126217, 70008074], [99743458, 71182536], [33436266, 61402306], [83359204, 40488799], [72987496, 71453969], [32222986, 91746488], [79276722, 33477469], [99265859, 18838205], [30559470, 87362333], [70404176, 44866164], [92817581, 8068562], [50518651, 10223808], [53697395, 22252887], [89809479, 52034038], [14263655, 60322960], [80899532, 296647], [76805703, 95949955], [96515733, 93979529], [82979498, 54491882], [49295023, 79617981], [67328389, 25161153], [49061238, 47077816], [30156981, 14359547], [16602657, 94337985], [53254253, 65215332], [18888700, 95818452], [29019452, 84452041], [62724830, 10771251], [27538469, 68106225], [70713506, 41529096], [74900693, 44457566], [41349791, 2033529], [96813197, 51350812], [5096820, 86527957], [17866632, 18772017], [16640285, 23739165], [7858879, 65754361], [83785268, 17815991], [16837937, 37311350], [63770258, 38194688], [23262772, 67775370], [71372613, 32536702], [40001801, 39567765], [46975466, 24860983], [41655980, 89263320], [64945490, 83628113], [49100408, 98819695], [30063372, 95464247], [43842523, 29255090], [25724964, 91389537], [9020832, 25783292], [57610350, 42380264], [9455770, 94677877], [30613772, 46534664], [28342624, 15122284], [18493688, 24776651], [22949685, 40182698], [57878148, 54921856], [52666780, 46439615], [77345287, 21612592], [14839542, 18216684], [40676537, 20574856], [71238953, 59762774], [4871236, 95567484], [25732339, 41744345], [52641660, 34454870], [23737246, 74041885], [84332123, 37851246], [91199840, 30976384], [12386021, 45064727], [67473988, 49485054], [43502641, 11774760], [51888283, 84571814], [45376397, 75369668], [65851001, 94862684], [68289455, 7339322], [60802025, 87901569], [92642834, 49647621], [35556565, 28547414], [96588798, 16513840], [31329607, 69353535], [81788146, 73459590], [57450202, 49991929], [89145087, 27340755], [38860532, 16233298], [5970520, 84691382], [34661596, 35008560], [54484931, 23977438], [35724080, 50888124], [18596237, 65584066], [43490602, 75465888], [94848835, 45436095], [13264861, 53659655], [89605723, 2091701], [44103976, 86342374], [58578752, 23443769], [73463310, 42826071], [16754796, 61864268], [89831087, 66156853], [22713992, 54599825], [26787766, 74947818], [55081339, 71416982], [46023161, 12162234], [26349717, 31169240], [95955605, 3654341], [16908932, 14384412], [85252978, 20918487], [55461905, 46511929], [76878384, 64890056], [44555862, 74213776], [19717637, 57004981], [64252268, 56516032], [52492332, 82995781], [22183386, 36672713], [84266238, 86968020], [61630988, 21560476], [84880413, 66912221], [44283819, 64308784], [70699906, 11044574], [21842249, 56126663], [42564074, 75062144], [81396044, 57037701], [91284297, 83944990], [8016233, 95017628], [41945277, 64005852], [94388287, 59687725], [93539955, 32192724], [2189661, 73044880], [67802175, 38201909], [95143523, 75477105], [12988741, 70513771], [94233450, 91677419], [21496360, 55768331], [83310916, 56063121], [60919284, 26595078], [27560313, 598633], [88348215, 67153954], [78475747, 9989502], [27354224, 73941635], [59340125, 32134834], [93383804, 62299572], [24494283, 6356560], [19121390, 92511236], [53553870, 9408282], [11394790, 68043362], [45074860, 11583234], [533107, 81917707], [57359439, 88882897], [41691420, 27561698], [45372069, 62147440], [18071240, 20642247], [62203328, 15344565], [87578555, 2858027], [38923470, 39167190], [1221158, 92516657], [5159315, 84464470], [69030582, 74462463], [66661168, 9540825], [35902641, 70053118], [54896873, 24768667], [94606159, 31274942], [32854583, 68190662], [716087, 70231342], [74976029, 83703214], [15579928, 75631968], [70955116, 64690810], [67367813, 36763577], [93307593, 49656243], [50359815, 54773612], [10665303, 76176646], [15716145, 38019174], [38921625, 95880548], [80431959, 91177396], [9174062, 36756696], [511114, 36597213], [67447269, 46407051], [19015444, 71646550], [65020912, 84510184], [62874161, 8089484], [93727228, 10180284], [28450304, 88420473], [79224152, 39053632], [79156036, 5115728], [42624915, 29492887], [87450874, 61468923], [92812391, 52489017], [70583619, 21248337], [98519287, 27675434], [89096687, 9508368], [37358996, 92457698], [57657614, 88801655], [35576171, 26109402], [8463326, 4675781], [22672532, 74261384], [69259156, 34899675], [45206215, 63204497], [99086832, 32916249], [58212191, 65847744], [68894283, 78051412], [90822343, 42664885], [36136456, 49184451], [2950943, 61402733], [89668111, 47154856], [3891731, 3684184], [56525367, 20961200], [28380685, 8041326], [8571276, 70007206], [28499571, 44534662], [23574379, 19714475], [23105074, 60946483], [1390639, 29313244], [51874406, 80287215], [75939150, 90474315], [25272702, 54439650], [93325735, 13690939], [80963675, 710979], [81720098, 9706928], [77104347, 7781652], [20770105, 68221031], [21977673, 68594199], [60784126, 85104125], [3793720, 12778672], [47142663, 54480998], [10595168, 98633152], [96496292, 85673400], [71032104, 98601386], [69578974, 8837509], [11327852, 68432640], [98488612, 22486127], [23801558, 69891671], [58916421, 45610969], [85579251, 52997240], [45333983, 23260596], [96612553, 48439637], [49960311, 79612671], [78026515, 4880362], [96769139, 33146524], [91673288, 34119270], [31718638, 52618472], [20550090, 79571102], [86926671, 65675609], [26042874, 51448849], [26633148, 76821642], [15932388, 35609951], [87731544, 33002987], [84999235, 88381388], [20561895, 76625453], [84144558, 23095790], [46795240, 54820415], [57425661, 21415381], [65966361, 41683389], [57904775, 10346269], [43459113, 82768109], [71581488, 74639718], [47918377, 58574996], [80535176, 60172344], [54792731, 77276237], [87927792, 47198788], [90170337, 36978891], [9245615, 31190337], [31354678, 57243586], [41663186, 56720963], [92025883, 92067180], [63629380, 24700283], [26153840, 38476777], [48504117, 88403283], [95162303, 85284967], [93668233, 38691281], [69534581, 56746474], [73256354, 87784985], [94876163, 53908446], [92926116, 80756891], [87431488, 9317255], [32122823, 34524378], [47866088, 53805468], [54809940, 79715695], [27392238, 99633705], [57318922, 59852256], [77469178, 71604523], [20534929, 63994819], [30129474, 79785300], [3519286, 61158337], [44735321, 74727229], [81352299, 75057858], [71713565, 6150586], [66013489, 45553999], [82380753, 59603636], [1375606, 56244727], [2925389, 3321354], [81473773, 75457807], [90768987, 39353288], [52322723, 62684616], [86294265, 52697002], [76737023, 94408341], [36851461, 36247614], [46614761, 56439033], [73909986, 12596517], [86731150, 64969631], [42854484, 39395461], [68205266, 3649725], [68195473, 89495992], [29787167, 99579930], [68326346, 79546210], [57606404, 24704309], [54732357, 4800554], [83530153, 41764392], [69548568, 15936215], [61088264, 93821072], [3369692, 93528119], [49853941, 23925492], [88867919, 15529041], [70329979, 64267337], [17170412, 46951484], [2921649, 46172891], [56208254, 86388481], [45754039, 48960414], [24201908, 42849620], [62174200, 75993428], [67240233, 19329767], [46781912, 41759884], [92883937, 48063964], [17964447, 38943357], [87683583, 37240833], [51203589, 6051149], [5399261, 33519575], [51517319, 67076738], [26262816, 61191066], [11428221, 30642557], [14751287, 74441273], [82690854, 95993330], [94345187, 87875], [31099697, 17574768], [32264927, 57063188], [94138961, 88787593], [60381761, 66119522], [91207290, 6624235], [33804135, 49394034], [24750010, 55528492], [60423412, 33466922], [10198385, 10117233], [83839863, 83604987], [53737684, 63459023], [49111033, 10467106], [14357198, 48199603], [79698113, 95154165], [29762981, 64320620], [3245306, 7852865], [55610793, 81822043], [42952544, 14568109], [70942829, 43233581], [70755352, 87704824], [57677426, 43349420], [96933476, 43624911], [24879937, 37826282], [93763747, 90829961], [14134362, 30183541], [13113346, 43334766], [90302082, 94050567], [12228400, 48021065], [55807388, 66159737], [28588926, 28667909], [63182412, 27779487], [63594769, 15217328], [93732937, 13493049], [64702158, 4030108], [13134923, 51556414], [24104998, 1850018], [26445102, 71896840], [27715004, 32843027], [18522927, 18603399], [23923640, 80810782], [76892286, 92112538], [91095135, 60712749], [10775896, 82397945], [4893094, 53256515], [29309664, 34581083], [23209729, 32640177], [24577862, 18149449], [21284131, 42064950], [56365944, 95786372], [44807802, 74219273], [96942739, 14431759], [87921507, 99548956], [34247692, 54790398], [61110243, 86525527], [71893026, 10534619], [25615488, 28751994], [83118216, 44754793], [28244356, 86447454], [32434164, 59611883], [83012356, 48020237], [46676099, 23496667], [75852123, 92345058], [8052619, 49379785], [49311911, 75994840], [31737640, 66085914], [63114718, 28483109], [39515790, 84290663], [23405486, 68831668], [37111717, 644032], [34644780, 84187443], [33224598, 4769803], [36506178, 4112840], [92956130, 93299113], [43763261, 21115643], [31462473, 7000529], [48714060, 94722766], [75333356, 75612367], [33413700, 29744773], [61834583, 13903647], [52077790, 55639050], [56447118, 23601407], [93112871, 81808129], [27986663, 88378352], [98066933, 88686354], [29469128, 63627423], [57496668, 33025521], [77309458, 68649403], [6743574, 9541040], [47818135, 34191801], [93486320, 71443843], [24825007, 25734163], [38836179, 31048132], [19417004, 9345227], [8142298, 57067283], [81075848, 70583973], [38355600, 71861585], [95717432, 51264212], [69397271, 47198151], [78629068, 71300491], [13366106, 83886733], [91658276, 57036940], [9915890, 13065910], [75669532, 74965764], [84672865, 30023581], [64047007, 73065210], [62992206, 44703094], [40528597, 87082750], [10635943, 49606654], [68655937, 7737082], [98794456, 22094690], [32446007, 35659489], [73783903, 5628099], [39060361, 9532566], [84560521, 75446349], [38435335, 88627571], [69556972, 61621489], [63673506, 29877170], [98824321, 88671914], [73027077, 60246243], [36902899, 20858182], [35508341, 86707852], [32501680, 10072689], [34703561, 49984492], [34703508, 87377446], [93879520, 89217852], [18088454, 12228058], [79680022, 13045004], [267848, 45889504], [69765247, 28710103], [54473529, 6525804], [13963832, 89097200], [48395733, 92778931], [95168865, 28787154], [48654103, 28458808], [73031792, 21703466], [83618769, 63616082], [41102518, 24401376], [80642453, 64104008], [53701296, 78377211], [55577787, 11081585], [8427634, 23289673], [62126542, 45932350], [54479096, 12430698], [59049102, 34945730], [28083201, 96025709], [93404640, 70705674], [47883606, 76990541], [79124980, 47303696], [94401160, 24037743], [12946821, 66015276], [70378362, 46697528], [3359901, 30465076], [51550498, 49347078], [34798233, 29364097], [34487726, 43476715], [12821583, 56003188], [63436527, 15459529], [80357503, 29345368], [5114433, 6239780], [7359057, 54393408], [58808162, 8722710], [23816489, 82058266], [30541923, 49218647], [99561629, 31340169], [29083888, 66515143], [85357232, 85876011], [61040132, 61845510], [97215372, 1221257], [53558339, 74456340], [71282524, 32214997], [57487780, 85353354], [99736035, 87885619], [95717506, 15212247], [41943641, 39054013], [36148830, 92791046], [76023549, 95253584], [35515490, 18694521], [11157249, 95196186], [49549073, 97962969], [23804390, 53602677], [87289118, 31422821], [3396955, 15089625], [51840317, 61296404], [27169604, 8606070], [79768637, 69083869], [36745847, 46166024], [15154323, 17942458], [96069569, 33851833], [322296, 60264937], [79348127, 7549002], [12398368, 86810497], [50864070, 90137013], [32389559, 29596257], [44146424, 13209467], [31868318, 97616241], [63823570, 28663179], [67151394, 64469067], [21380096, 9917346], [27618975, 66608266], [78475292, 68810136], [86690788, 4366455], [3498807, 42685949], [45454350, 5982631], [38801485, 83673870], [71840504, 59881717], [1501259, 46008964], [81103395, 76853569], [69259558, 93140864], [97465765, 9894440], [91559828, 93727659], [61540292, 14167494], [46023844, 38323081], [76968803, 61648954], [89740136, 64242899], [45571622, 88050820], [74800723, 50472588], [42925775, 51748755], [99321, 45623136], [9304390, 98522657], [37507968, 90904590], [25075402, 60710702], [86163033, 37985320], [36952246, 36826877], [59352666, 61859567], [54796256, 95362439], [56565929, 8330734], [50931904, 61285862], [73721943, 32240171], [14742449, 45089757], [44774292, 97636953], [80298468, 12584919], [33196537, 28237862], [31159766, 76514913], [93935299, 2403262], [5675321, 23946919], [93860480, 4511488], [13488937, 65196465], [5195039, 50633271], [15024511, 84782000], [24648308, 51575658], [28839322, 6682029], [6005956, 44940186], [63278901, 77921075], [34921366, 7688709], [14463423, 17518982], [23704147, 45009092], [43481624, 24788937], [22557212, 57413257], [54832170, 59212460], [55023068, 49630700], [69402117, 88067596], [27118564, 27933248], [65869982, 46515228], [34888023, 26412837], [43672440, 52548766], [78761251, 52884839], [3276406, 96818580], [72326725, 75213762], [65154360, 7901328], [94044793, 61922300], [96312327, 41341939], [55103374, 65061101], [33221977, 78239972], [15317001, 73524293], [18730153, 97522577], [68046043, 87891516], [99637170, 80574780], [38473989, 66402544], [32789288, 57914205], [30233013, 84513147], [44790472, 60740952], [10722761, 78845213], [59161424, 27584340], [59286763, 19144692], [39302551, 87742382], [27309726, 95710825], [4964978, 95875600], [95822219, 85095987], [69876493, 60637875], [64450949, 8847586], [20951957, 53854613], [73765586, 34382252], [65464402, 17834570], [34298681, 99290315], [39801681, 17411732], [28397862, 85958321], [61449465, 77904937], [78654996, 62397251], [71817319, 69792652], [5640438, 69234611], [99333210, 82829858], [33594515, 62716396], [92845186, 87333314], [38220267, 92571035], [55909895, 67445224], [29426498, 54325109], [61119383, 47818265], [64355801, 92458895], [66460305, 97509825], [6273312, 35287754], [50447822, 43772730], [7067329, 3216787], [41630302, 90239138], [75447051, 10742582], [52839450, 70975873], [67799459, 23204201], [54506048, 69136707], [74486773, 98907944], [28252100, 23024736], [93466121, 89183375], [39183302, 90358645], [63429330, 83046411], [85601477, 96381037], [15425734, 49744852], [16711776, 86779486], [93577516, 15881104], [96806677, 66708283], [42999090, 36342598], [37423946, 2344503], [36680748, 21371764], [47881819, 15815566], [65763088, 67531110], [16515629, 89973617], [56360713, 83028381], [21541540, 78378494], [19141978, 40315994], [28693024, 11857780], [44763605, 45674963], [7006392, 38662810], [79597477, 12189700], [68029601, 16754069], [38975315, 50451574], [79622100, 71072569], [24053505, 54333682], [95016474, 34076723], [38619779, 12060974], [61822611, 34696048], [22285480, 41961967], [31439597, 10230243], [51338284, 97299562], [77815719, 24124199], [93208006, 50785513], [5233195, 70991809], [57991078, 4694056], [30919596, 21263204], [90723204, 55040956], [10621512, 46169412], [68763243, 3121859], [4647768, 68905531], [584181, 81624551], [18550105, 66948089], [90428312, 5255099], [95972008, 18631778], [1917683, 47915246], [91827181, 16922292], [33950718, 16444176], [27517895, 88750558], [36900889, 83454568], [31485902, 69647183], [55292748, 3969766], [82058346, 29203951], [77230343, 45583014], [10942760, 80014613], [15094007, 69591071], [13426506, 18220689], [52275518, 79663173], [66982099, 53734161], [9371747, 78622315], [14654425, 90855996], [59287056, 17291135], [68001361, 26372551], [31432819, 66710101], [918508, 60174910], [80256410, 9865314], [65407972, 27077821], [97088048, 75511111], [5533619, 50230050], [29451664, 78171820], [20550482, 43174885], [62406808, 44413972], [48241288, 16174115], [93001892, 51692385], [98785527, 41048799], [48836709, 53201092], [60883917, 44213613], [95358480, 23470170], [44344892, 38497556], [39928923, 11805279], [96639076, 54528497], [36193997, 79192403], [57585877, 21463202], [16127517, 15168266], [18383776, 19232398], [41804252, 92112005], [77221133, 41084202], [87492151, 35872115], [64566191, 20695507], [79558943, 40945648], [73719015, 45033496], [84615238, 59174820], [40508610, 2421515], [22400447, 52100298], [28894098, 20050717], [23225675, 50681601], [49820476, 25321814], [58072010, 23712589], [76318642, 26418083], [55893136, 8352113], [38646444, 17367146], [99412930, 45449852], [98074999, 14616456], [40356352, 6444873], [62434320, 44189699], [99180753, 53371850], [88203149, 43711631], [28835004, 31407491], [40619281, 22082887], [75662359, 27312443], [91084692, 87979045], [77530412, 61236636], [11031424, 82766209], [15484080, 37152186], [52832438, 68169225], [22991688, 9169237], [51828494, 13601504], [28643759, 84729759], [91901850, 93127427], [38339680, 54037601], [69560639, 51468238], [49338677, 36869373], [71727184, 36533336], [18472952, 68655462], [18769783, 50228027], [31080970, 73764814], [75216314, 71770423], [2526233, 71655309], [48309096, 53478573], [24007405, 16303554], [30117314, 87541730], [91104499, 2689886], [71360695, 86040285], [48116259, 4084820], [68041794, 6620219], [8639479, 64155676], [11159619, 32429162], [34403342, 83832028], [15512513, 76921227], [15274947, 99357326], [99461729, 60700882], [77572101, 62209616], [67458474, 79926844], [92665644, 19995789], [3810065, 72733256], [20941441, 92782624], [87941605, 33109644], [64261947, 92963755], [49093554, 96896980], [12358783, 56049599], [2975907, 19457444], [18160549, 19280897], [77455750, 49965273], [58159980, 56840525], [3554388, 86734983], [19319009, 71267298], [4244750, 38427020], [87617879, 18933795], [87888601, 70090591], [95022140, 51689857], [33919989, 65887749], [6916129, 9767091], [7095044, 29082499], [31390228, 67606437], [64936208, 34518447], [53579775, 6415395], [6767255, 282804], [4534787, 80994651], [43150770, 16198884], [43652236, 36917985], [50179990, 18296671], [56360421, 63155552], [44983588, 33800400], [69538443, 73567510], [43243059, 5255221], [35140537, 83203591], [92310032, 49051882], [7435472, 92816026], [79376276, 31183703], [5643629, 89911809], [95043163, 46890752], [25374490, 62344375], [34382699, 57496447], [67849350, 81302301], [60240865, 16430537], [98534818, 89568050], [6294944, 20478711], [81773518, 22697699], [62780092, 51237300], [2444966, 74210704], [72060492, 66980462], [70367402, 70038010], [17658537, 66610915], [68356606, 55212259], [23278631, 8493800], [20616463, 63636674], [46060941, 63582636], [29869334, 5026720], [37856516, 76051796], [89401597, 73406623], [5885549, 75754978], [29413837, 52260416], [31319522, 4148254], [34610786, 48340253], [98879448, 7630908], [76563061, 28549357], [6574300, 67633125], [25293363, 96332622], [22914917, 20740413], [61773356, 27139379], [73679232, 45265977], [69542392, 75319945], [55258044, 38354182], [31598585, 57055895], [86179834, 37648031], [18506458, 94201587], [61684709, 72572407], [63315985, 84557123], [65152917, 86568023], [45225509, 49989443], [40552925, 60500994], [27086858, 51291723], [24637301, 55504062], [38120213, 79971206], [60052517, 6841095], [34680311, 54948651], [35462371, 76575618], [2508934, 73000799], [37506314, 14808392], [15576453, 83622097], [13353898, 62424468], [42524153, 33973656], [63051961, 57958964], [49874634, 20995263], [23860777, 90306687], [84727547, 92841927], [96511343, 12719381], [68986181, 95575770], [3061166, 54551063], [43756643, 37325266], [65113119, 57536441], [53091755, 82033964], [17440720, 15389128], [55800953, 9987516], [97094281, 21783113], [87323850, 59010421], [1096681, 41210541], [59830437, 21065070], [26476840, 27034489], [86648124, 50255455], [73672483, 37659659], [47105094, 5455058], [75030668, 43630707], [31539600, 87352794], [32552225, 91704038], [67889622, 27223630], [39497226, 9741040], [78871856, 35533562], [31818061, 77083206], [23097466, 38859142], [11894437, 57757459], [41837121, 66356206], [85731311, 74535532], [51223399, 5189728], [75534046, 94008633], [43951474, 43471757], [59998504, 74216251], [7949607, 75839427], [26418941, 37186778], [16377921, 91339455], [65225980, 95516434], [22420124, 37706076], [61098515, 95583012], [55842366, 76784296], [31321893, 66458301], [16572309, 97745076], [57432871, 76455433], [11076450, 88077205], [50826733, 71782092], [82965290, 91321196], [6813155, 9669555], [78890435, 23732806], [35703511, 86015818], [53012246, 61475477], [69861069, 8629455], [76898427, 54673875], [80071835, 17915005], [62733964, 3750360], [91908772, 40087000], [87606122, 86240705], [12178317, 81940798], [47902211, 74609373], [72938043, 29741979], [6662658, 89985802], [21840042, 82663864], [30266281, 39253737], [185597, 57645864], [8227123, 81568656], [69260752, 61168382], [88082504, 15431686], [71794425, 27909049], [4247893, 37039800], [26496683, 9127218], [29606862, 19296360], [60936859, 19994535], [4501742, 39416245], [30301131, 47391445], [4885686, 21478174], [73245, 34448371], [41240265, 19314403], [738651, 90706962], [50053832, 17670195], [65828153, 76717029], [23194764, 32565476], [4879263, 30789741], [3160551, 69659850], [37602235, 49003780], [74789737, 8791872], [22729554, 88838951], [56736146, 2451744], [73525115, 81008456], [18336771, 57788133], [33235435, 11009046], [39422336, 52435409], [76514863, 30941929], [93260899, 39620665], [10970420, 66981178], [98554796, 5682793], [69312068, 90451231], [90539855, 46028481], [93658428, 64737001], [42982077, 93871340], [43083404, 55601668], [76422512, 43619270], [19361770, 39769216], [94824182, 94387951], [92936851, 13626398], [44944259, 28432595], [2354294, 12721873], [97485044, 92841395], [61201205, 55711394], [18664678, 33939713], [96745678, 97929412], [22967282, 20888458], [19884466, 6112392], [14883105, 28525385], [23009645, 68861074], [51010300, 31606499], [56168169, 30906790], [44640893, 20892083], [5690664, 90029071], [55397132, 32051969], [45609256, 40215218], [61569299, 10328323], [2138776, 49625901], [23066723, 66844821], [91018433, 60452788], [7880281, 55227463], [8159669, 39357856], [6834062, 90310337], [61615672, 93160545], [951439, 16770148], [8100992, 64973838], [55414278, 30735575], [17243160, 67826670], [75452465, 98820379], [61050938, 26056983], [60946946, 56701411], [33985460, 8648014], [10318684, 29420479], [30348180, 54835827], [52203367, 47492230], [95620813, 40792201], [1464277, 34442736], [24700456, 41522187], [45222981, 5291656], [82867674, 60311231], [22609714, 96603732], [94542343, 33139688], [48988668, 53079914], [99497440, 34710839], [83162057, 37646754], [94371428, 62385532], [13059680, 62804143], [39920673, 90721132], [73432912, 87555470], [96951784, 50483709], [49865180, 57814065], [86602459, 72552596], [2691694, 83731155], [20119431, 91919057], [9737592, 20479354], [58191956, 89787666], [48245230, 67704334], [87354121, 88994643], [16672288, 10509320], [43360409, 18918915], [13169062, 74833704], [86739986, 49874959], [78534481, 95800611], [22944045, 41074520], [51334342, 37517226], [88565304, 4179170], [4157087, 34317537], [31047693, 68202693], [58572686, 23610943], [64321901, 47640097], [54312504, 65982902], [2753477, 17093642], [1213598, 80868445], [97741724, 90851977], [72696663, 36555315], [92504894, 40666542], [10996381, 16757259], [18511139, 7488066], [39830003, 75465694], [81474644, 9536286], [37040326, 93709438], [18886872, 68997240], [88325542, 82397897], [86059431, 57248039], [46183868, 95651493], [82530701, 84647345], [97837834, 57082893], [36525297, 15055631], [42259296, 34812618], [7995142, 55566510], [64442969, 31503643], [70574629, 3983151], [30286063, 47012479], [53719671, 11810766], [81971678, 34583581], [50587916, 83338924], [43692670, 77771138], [65454712, 78754351], [83822057, 82028571], [46964728, 89120238], [15056652, 74040959], [34682829, 21057217], [91776893, 57481077], [27639871, 90094324], [5295558, 37634375], [84274282, 38855588], [85820671, 27825796], [44198753, 93234217], [19545659, 94159274], [20233295, 92337276], [5604005, 59233075], [25186956, 41934419], [2762421, 59522757], [17317785, 2558756], [51521010, 24155910], [97930709, 60106123], [22258556, 55289221], [71284635, 44482117], [1386468, 9724442], [48849528, 93076495], [41729878, 79044320], [47351591, 77378810], [50110043, 78099008], [66857045, 18929397], [14996495, 49846716], [34580309, 93144719], [56787945, 95660762], [47437012, 61520266], [67522140, 33834925], [43398871, 76516727], [24663436, 9337416], [10841491, 95633391], [6615256, 13349380], [97902674, 68662387], [37883786, 48073303], [99261976, 69342112], [46145721, 47481226], [88041505, 4361144], [9580772, 18798089], [97483798, 17806772], [53483217, 91450409], [80494971, 88930219], [76839436, 58193938], [75756198, 7446251], [13352594, 7295939], [54316180, 32551954], [41314337, 6744723], [79540326, 86478174], [28746833, 19985813], [11131310, 23202151], [65625520, 99234756], [1989767, 13163759], [12943907, 97027026], [91966946, 91926937], [12488188, 43354822], [87538403, 22729310], [24273392, 98857847], [55909583, 98767381], [58590349, 62425256], [70796300, 61130059], [63323355, 90276662], [9504158, 89169622], [78774705, 12256871], [49076956, 53967883], [29467043, 66177573], [47504878, 21468743], [59215861, 9543348], [26862502, 52650626], [63970228, 35114119], [29162745, 66133212], [55862899, 45230959], [9350777, 42682885], [56023853, 59453949], [69512659, 89547246], [45915202, 15458522], [99233621, 16781899], [74341689, 24215247], [88975626, 2221621], [86303752, 61410587], [61993567, 77256414], [36621981, 65995378], [91263383, 30469845], [93476194, 55897875], [53349439, 40335307], [54252378, 89917614], [74382898, 17049391], [73704259, 94083469], [4583977, 60505735], [57810662, 39894325], [58449159, 88873359], [38416574, 5947275], [84052241, 76247786], [77927870, 14740263], [850882, 60124451], [93545085, 96574921], [17294516, 83311611], [3625730, 92561528], [65367134, 44359421], [4015458, 80489267], [65639927, 37041916], [64959248, 90876550], [60772445, 14178251], [23814342, 28302351], [22459085, 88877666], [42047545, 59879667], [61652216, 9691711], [51960135, 98805596], [13705135, 9951987], [73391518, 25944180], [1241976, 88316402], [23247151, 12556002], [48845725, 66438460], [13306309, 32046446], [98073421, 61320809], [44975493, 19078798], [24184429, 84079261], [20231292, 13642807], [22736991, 52238157], [40369497, 79187212], [88281395, 16470391], [9425828, 489967], [66222263, 42184962], [1934772, 51228499], [56282277, 86458852], [42669713, 40221364], [26288751, 55359908], [75794118, 29896711], [12084317, 4984000], [44274556, 87813135], [4701821, 24205445], [11471912, 52347599], [91609584, 68982880], [35763110, 31268779], [9797936, 85140168], [49825993, 16985501], [22115721, 58148376], [73995766, 75217874], [41395345, 32130317], [89341414, 94960592], [67558590, 6455029], [82490959, 45413811], [69705209, 91926341], [31323369, 94192862], [70179978, 69693624], [89125100, 69048437], [42345406, 31614917], [95836670, 15594994], [89585099, 82655028], [7046557, 18344745], [34617204, 75726306], [93269683, 21927048], [71770008, 85834861], [242028, 65284479], [56673657, 85547475], [84993344, 31653178], [14006048, 61684233], [97383460, 83747573], [5099237, 15311540], [66317095, 93742300], [6092638, 3970567], [11126994, 76671178], [48176861, 29022169], [41973421, 15003016], [92818798, 34551567], [46257087, 51224000], [1129550, 96817608], [25900465, 2019153], [74564634, 72793225], [4881202, 4706355], [86151803, 62140594], [42079456, 3235820], [74242511, 58798353], [86824636, 80525892], [67003614, 64114600], [15120807, 81891869], [41472406, 42895743], [11727647, 13918097], [4037021, 77951706], [90299085, 75726752], [26276485, 10949333], [25310589, 38742422], [54253999, 11761949], [26039381, 83222627], [37704521, 5688309], [76190551, 6676046], [28554904, 99221096], [75941905, 5488951], [93389554, 40530347], [95102347, 3209333], [41676750, 66757828], [53654208, 32358480], [41421187, 78408929], [46589821, 18762054], [26375059, 46048046], [33538986, 4266406], [87980397, 2209963], [64920644, 69747597], [57245744, 20826109], [97000904, 16757504], [37602235, 2261930], [42639101, 60810506], [76741936, 40732036], [66476177, 32507636], [91327975, 41999934], [50361607, 60133863], [16052930, 41700614], [29196778, 10999097], [8496681, 95117659], [73130823, 87073223], [55489366, 80370921], [69550209, 69822319], [19721700, 6212670], [22157272, 51598038], [30702348, 78095107], [77038132, 91600168], [38438791, 87153460], [76002383, 53997937], [48789815, 69941817], [58198921, 31510706], [56467749, 79791592], [23957755, 6168597], [23475435, 23220570], [95676553, 89291629], [27911459, 85793218], [23563175, 86979960], [10102373, 73453852], [65797492, 7990875], [8318085, 58198248], [10273530, 79844375], [24826442, 36042761], [3481133, 84093091], [88238295, 33459989], [22206355, 40288240], [91303945, 70324363], [77473612, 74944105], [46969085, 25455502], [99126838, 45539984], [71380018, 23044610], [93436791, 55371082], [67597397, 4967294], [96727486, 82421523], [91200073, 10069481], [9307993, 12516520], [96539585, 17964134], [75977839, 56977173], [13061403, 89276057], [80441877, 1580103], [82121615, 93580826], [58736244, 19131368], [19625545, 81897045], [32278714, 49033941], [11418635, 60304192], [46761053, 95106091], [23863025, 44016762], [42705744, 91084875], [54595945, 65227487], [44737076, 52679935], [98704296, 77872631], [54378843, 48406983], [47289845, 96148167], [5627370, 86116675], [26625241, 20683168], [5201185, 65961073], [34744245, 77873818], [13951643, 69185997], [64419892, 1047533], [42294549, 67303329], [29350872, 64002698], [69444677, 70508616], [66514015, 62308225], [64972402, 19137070], [64704647, 1013132], [77110802, 35004462], [91832695, 31968621], [77172086, 15116330], [56230129, 90694301], [14843699, 20925221], [91204286, 8708340], [55705850, 78016274], [61633726, 96094989], [98408368, 80741502], [21448244, 4748874], [86598713, 60496436], [93103801, 94053633], [77791821, 154135], [42617338, 29872473], [76379501, 58883248], [56366332, 24837656], [89871728, 53627310], [1701805, 78951817], [24189160, 71899923], [81027785, 29809562], [29801940, 21075926], [3517363, 75199298], [89414326, 5165300], [31604890, 11334931], [21248475, 93868887], [59308047, 69199136], [25239131, 23865848], [33828617, 91659516], [64643745, 96360670], [14076109, 25423424], [83802110, 23757777], [59807533, 48516598], [5896835, 228408], [11278623, 20470316], [68222004, 48108026], [92121718, 71038916], [35989319, 21615252], [77231558, 96274503], [48892778, 64649504], [88114665, 58417739], [19840839, 90349964], [1713210, 75939174], [28218605, 99766646], [83019392, 90642963], [12810105, 59014290], [43311248, 16916992], [32057878, 97821458], [42307960, 67182604], [21983104, 34703832], [47748074, 51169752], [56079644, 81363959], [32321552, 70181342], [28594841, 86857105], [85157508, 93229985], [90664163, 52847834], [7815646, 6024006], [63336357, 33908528], [31813404, 17602733], [71185402, 39909929], [39511589, 33979784], [73029172, 67865358], [39662786, 7615988], [53207172, 35440058], [91469289, 14771871], [95893588, 74820652], [6346418, 53907641], [53579371, 37986019], [14562358, 89473383], [16755616, 7386782], [83522075, 90043734], [12096977, 55960259], [12277238, 47431408], [93236338, 47221934], [12197751, 66033970], [16343806, 93158495], [6956291, 61563660], [63385303, 11555874], [68293717, 49694482], [43478755, 33100392], [92683059, 88183135], [41684301, 63419611], [69979175, 71740508], [86273619, 38521465], [6782003, 66979788], [94501158, 46776925], [45134379, 30229860], [18633363, 12948379], [6312223, 6749927], [92273214, 62519554], [72049038, 68629668], [36763478, 36924717], [71525180, 28473769], [73500965, 97545620], [57821170, 64979861], [57815844, 96058018], [38423969, 99347479], [23803100, 2225091], [12580050, 49472159], [18330813, 20826676], [48157504, 14565031], [60164064, 2559424], [38725623, 83717335], [84360213, 64093803], [68505048, 6534962], [67534476, 52481889], [20804051, 43833606], [20571998, 26062349], [8872652, 85950921], [81491727, 11357083], [32293778, 52492155], [66936601, 99204850], [88363552, 91896591], [94135788, 13970731], [71320057, 76615258], [66921727, 6987260], [40747065, 98509735], [52589697, 8473878], [12686254, 91756793], [51825988, 55567394], [88432120, 25430908], [83791584, 94357820], [71119285, 54258775], [8880141, 15195057], [26801438, 68860489], [49961781, 85986491], [37877924, 60052967], [69005357, 81239662], [43869167, 18503988], [80167339, 41754881], [44788598, 31733477], [66470026, 80829336], [50569055, 70701536], [94921249, 52159862], [41861662, 61158736], [37413882, 90318117], [3696746, 52738419], [23594461, 66687552], [81544445, 42005831], [89384627, 22923500], [67218723, 61111129], [91422616, 16211686], [61234958, 6830796], [58046691, 95093841], [7887417, 73868138], [89622788, 14251252], [11652282, 65009561], [50464479, 4964420], [95605803, 49101114], [81429024, 76572418], [11767300, 68428646], [8216020, 36427621], [76629346, 13884677], [89122750, 60222562], [10007583, 62860962], [50178563, 20600095], [8389471, 60727915], [57689374, 57551780], [38264727, 86435317], [81010268, 16912986], [18207074, 28809150], [64647300, 94008656], [97854141, 10305059], [3586634, 14763308], [24560403, 73025813], [93284530, 92534700], [67252113, 77370856], [40988126, 64420037], [11561700, 34299317], [78759760, 96923832], [27130551, 11118211], [44074577, 45921516], [73016404, 41291575], [50494833, 71544018], [63826500, 19046257], [68559453, 38203544], [55534184, 91911617], [83853317, 74622639], [49185773, 35264290], [23635900, 44556883], [74713691, 45614674], [82062200, 18328321], [18901166, 92934794], [99853746, 11390146], [43762353, 51611864], [28039989, 16772464], [15071091, 7300847], [7326244, 24098703], [21968540, 57519194], [95922560, 61976525], [90224825, 73307850], [99376248, 60219962], [9721054, 68665098], [96267378, 48465489], [66399023, 28058411], [59518425, 59419650], [82879509, 52651175], [29534697, 96759534], [48795456, 50578530], [99265309, 97398355], [74010254, 26707130], [32948334, 93473538], [39462057, 31306758], [69580568, 61136399], [96495682, 74574835], [39659992, 27724586], [90654929, 1545356], [13148702, 71580499], [70948570, 62991191], [28999164, 61416932], [27878921, 82199349], [41042952, 53385847], [93286947, 10972917], [16786133, 57103357], [69783862, 75240715], [32082433, 51216374], [8462195, 44442261], [37637508, 37201380], [44444675, 4246936], [51126018, 99218911], [43912213, 56572927], [88250391, 97137275], [18802079, 38933939], [98786615, 82411628], [96062433, 46022213], [44830245, 74698021], [74224552, 28490667], [34017157, 75385978], [84012968, 17277094], [59919023, 79277418], [79018665, 89269442], [8240672, 16949330], [11702165, 45120921], [52287756, 72976529], [91631854, 77669690], [76926666, 34247674], [15372688, 93495683], [42049955, 63425881], [66729040, 98993269], [36610212, 3896989], [36436388, 63807657], [33246485, 50252096], [69950145, 79499589], [73316687, 19943387], [39791615, 92881928], [41251836, 51468372], [45228499, 21387508], [18248238, 79727838], [5314404, 30659630], [81456154, 92282916], [67236204, 97340910], [47834808, 82844428], [87825623, 29572657], [36178660, 91064868], [74510629, 39871835], [69145469, 23285113], [34380820, 80007488], [12410685, 11208408], [53180533, 49924702], [86240872, 12106259], [75130739, 92522661], [8388802, 77149033], [17011267, 32809158], [40434588, 4727269], [30975086, 69327748], [51641520, 70574406], [17591295, 39256675], [88925829, 6206320], [58223153, 84524088], [50647718, 50567510], [7640918, 84917819], [24248857, 21586664], [25265116, 34110245], [40357546, 267267], [6500347, 58005811], [81025832, 57222358], [58640270, 22793340], [9230964, 87891153], [19260727, 18726532], [9638683, 15720204], [34152955, 60614097], [29784957, 11950778], [26760124, 23945753], [58547480, 70346821], [59262557, 83615122], [45841437, 75333441], [32935377, 44798957], [41872250, 39533696], [50026975, 50926242], [32223211, 17896143], [37432068, 35684701], [46119886, 97632663], [75703681, 56665456], [91440215, 20284834], [89014981, 4989470], [39440874, 48881616], [51672641, 21726766], [48158170, 7186910], [82734376, 7195382], [63276029, 51500863], [50764294, 30484932], [54635180, 91729733], [87375721, 79846395], [73969037, 46798623], [14668233, 20505524], [43937101, 2970121], [92818982, 64793942], [98670329, 98181999], [4756105, 74122455], [23664279, 68382278], [38214334, 39428431], [26289481, 31702324], [82094878, 59022957], [52305130, 66458640], [80319924, 45379807], [59094149, 4496852], [40418651, 19289114], [80170100, 88957442], [37674885, 30355972], [76784433, 3100839], [18186084, 10428813], [8346616, 84450548], [39291425, 27885560], [86911892, 17309443], [90732051, 8380633], [52543517, 51702531], [91712372, 82065041], [19031733, 89477829], [64416329, 64330184], [57468868, 8896697], [18641957, 12924379], [72742894, 13452299], [10829630, 60917078], [51451313, 32167575], [3873837, 87693950], [43636176, 96035338], [28063008, 74051597], [68138894, 23440993], [34229886, 20545587], [37139562, 47963810], [60955791, 80418008], [66408192, 23131694], [68678414, 12857933], [99775135, 74767477], [39869756, 5511845], [7720890, 46792945], [96920037, 92010744], [19360161, 17201047], [39274247, 73071348], [2380896, 20141841], [35062446, 85288272], [25455744, 1351541], [9835847, 37878058], [3567760, 19975564], [41669641, 45544974], [25452580, 4800395], [36632390, 83658686], [99686748, 77189676], [3658011, 15688325], [38766278, 38541391], [33132489, 81525533], [90630164, 61000930], [94691157, 56191], [98272512, 94386281], [43593983, 6881528], [50526960, 35700100], [65598008, 58352638], [34636649, 9713874], [504195, 22361088], [63437561, 16663421], [36070322, 28422763], [33613080, 96443326], [21993237, 19542157], [80208699, 61005877], [69315270, 16805976], [44406993, 97983860], [25478603, 70728036], [85856602, 71409504], [22867095, 37232826], [5867557, 12088780], [78501691, 3480558], [71708791, 82190176], [8051001, 22336949], [59522864, 40909457], [49252010, 10037899], [92233839, 84125757], [8999814, 95227719], [29432715, 28187384], [46297514, 36291074], [79342155, 81111768], [16054389, 4286007], [28847556, 57654397], [12464730, 13039908], [18216432, 99135837], [57454516, 94073243], [26852125, 11946578], [51665819, 198703], [33213169, 18828008], [78555081, 85317831], [72771341, 41808174], [41736577, 40765621], [30088436, 2906058], [91331143, 73054302], [79656394, 91910883], [76253697, 4647530], [93129050, 34131032], [28693913, 30408226], [75112585, 87933821], [56423926, 55936993], [7722148, 76200831], [29820967, 40998392], [43761771, 64456481], [41821966, 4970696], [91511793, 48169955], [27544836, 50842482], [67563769, 22399509], [2410466, 4700723], [97427782, 92163230], [4206024, 90127800], [3943016, 16996615], [66677448, 29347789], [25846243, 75054204], [61085783, 5214869], [42799506, 78301698], [87338369, 26369515], [93844575, 19400655], [55412214, 30099494], [29320274, 84711793], [89854264, 66894703], [29095984, 46318989], [10467218, 59671984], [37104732, 68723054], [57388155, 34785969], [86975538, 42522490], [8504817, 65114353], [83716253, 80633444], [47854300, 87619502], [3980972, 83803411], [39817254, 8382000], [11837818, 88615877], [29574226, 89209148], [87957218, 43942282], [17435360, 64688270], [95721396, 65054149], [34214191, 27805776], [65910048, 37374367], [1757345, 77341046], [44070571, 10832229], [59866843, 89038795], [46278332, 90729968], [20124464, 64898952], [67210177, 78429310], [666949, 48193740], [68933549, 83438881], [16369456, 82817844], [55443361, 47726697], [90151934, 88692201], [30047444, 86176106], [36071702, 62485956], [40107671, 74119652], [63853213, 56363989], [15743444, 86951630], [5024360, 59309781], [92821683, 70317293], [99248183, 30384556], [35238616, 39547912], [1097175, 7265747], [9182244, 41547147], [90245671, 54435997], [66519148, 54344016], [5476356, 36851950], [47749522, 42861494], [8338178, 14257637], [59342843, 76632616], [27915226, 17096532], [71815913, 65804436], [23879847, 51314472], [18734058, 36305125], [29419287, 31908932], [3982087, 48094004], [79231699, 26794744], [26084686, 33714737], [54050331, 85287659], [93273041, 65288953], [20474563, 8211588], [68178721, 3033524], [43232331, 29277310], [40157663, 18397085], [34034225, 68858673], [37856266, 81906670], [21990225, 46063529], [89150084, 2767263], [47498126, 94429876], [31145170, 20636519], [74598982, 30963887], [21257236, 24955398], [23652199, 75490344], [37850040, 31143201], [29086837, 42609671], [5216529, 15408103], [11417090, 98249895], [98640809, 44208938], [71022117, 46878780], [3866952, 41319797], [97317820, 26653982], [97421419, 97353817], [4211517, 9473756], [73591871, 61249139], [17801472, 79894285], [10227611, 504851], [86105888, 41067884], [16328508, 8723692], [44077766, 70841093], [26546493, 21059285], [77106299, 47763565], [45850971, 97354486], [89958937, 40960430], [50744235, 9742914], [10055462, 98415162], [53026144, 85642178], [25407397, 3614114], [745189, 5618154], [26287171, 15774000], [25407922, 92918794], [89367692, 12110733], [93392812, 83514662], [44473008, 63210141], [72185704, 18526524], [43101672, 19567794], [273633, 84744105], [21800166, 8823130], [10940466, 15476109], [19246813, 25369446], [92422565, 78164658], [23676842, 9856740], [58875728, 76935882], [46668487, 59025674], [92895595, 72473759], [53063783, 62408301], [40198340, 89173141], [44016667, 25678918], [33770050, 75194313], [27371009, 1416925], [29433005, 67803693], [11727175, 44511166], [40084470, 35838853], [7031513, 99162228], [93261605, 28117768], [99613527, 99450278], [28881382, 91403118], [55657191, 19049654], [53509519, 40826555], [27163691, 88081699], [28127558, 15334224], [17873319, 62866058], [25693074, 91276297], [36527138, 92590336], [50711678, 19414483], [58599740, 42503444], [16817901, 17783367], [6792448, 36606779], [26653625, 24677383], [16141875, 48244435], [14882076, 80154957], [27999919, 77306454], [19261439, 16799704], [56716411, 35043068], [15377736, 68561047], [23887664, 36994556], [58762477, 63767198], [54757376, 99980761], [39364735, 8221941], [12762942, 15339825], [33681313, 37191128], [12182673, 95148966], [17984817, 6560286], [89086981, 654520], [88662257, 6571806], [21592823, 53312101], [40459374, 92999680], [35774516, 43902262], [66344151, 11772184], [69130696, 68521896], [71990758, 62078298], [35070611, 67369189], [75450329, 57500233], [77380484, 48769283], [64030214, 52636399], [2162228, 4440349], [88510719, 33903652], [14878827, 21433794], [61419668, 91439304], [91943965, 37406768], [84971027, 27650279], [69528503, 62789623], [72563668, 49526391], [45766789, 73146102], [26688289, 53279250], [92909989, 73130337], [2831995, 80980031], [28959601, 74065896], [1628302, 89548702], [884151, 77868326], [6048534, 16582645], [55739606, 91488969], [13112613, 38271782], [13815763, 21588357], [13310145, 88010531], [22408183, 77613763], [53621835, 33726463], [83708924, 8010701], [70745602, 7407089], [27998737, 55068653], [7277530, 3580100], [82051044, 40931125], [44618905, 92877680], [58926613, 3088926], [19729848, 53424629], [41217708, 16211664], [96564128, 22451220], [74123765, 64613123], [88396543, 30589833], [36313387, 41811755], [97463017, 42534194], [37724595, 77266269], [88669305, 46127924], [15324689, 17365544], [30948442, 1434660], [86863521, 20001915], [86975170, 89531935], [14935654, 82482775], [33976965, 44970034], [40215416, 30282674], [98361811, 3092382], [82468217, 38916964], [13382818, 23424829], [68228009, 24027786], [72256928, 11876569], [18610184, 63720985], [88769676, 6119674], [5013538, 95693015], [12908544, 36672782], [76132249, 66425619], [91242439, 84334862], [15771194, 48840861], [30688004, 40225871], [48459009, 77057072], [58751927, 29176480], [56538063, 64310559], [15128784, 20851173], [20203355, 57762704], [13922043, 68447813], [80778946, 54498967], [22437918, 67898548], [88990947, 95546918], [4715122, 26733336], [27803111, 4818550], [21093303, 22118904], [90794829, 36267388], [65928102, 44789941], [55150983, 58109520], [74541255, 16300291], [85126800, 93509597], [21969350, 33076805], [44021641, 13980472], [15003188, 15811624], [28608281, 33531693], [6411510, 95842187], [99562663, 55595568], [76325694, 75390809], [61026865, 14633481], [97607097, 375945], [27485918, 39769219], [14906909, 98492551], [92964229, 10775521], [60652632, 3043180], [48155955, 72838636], [87043596, 10097509], [20754184, 6684749], [34536173, 11793894], [11007466, 53809649], [13155577, 47804256], [83175030, 8581142], [90620439, 524218], [87035694, 35880845], [50776514, 24369944], [11353545, 72422153], [34140016, 50555603], [30294505, 74650779], [84068818, 19122466], [65294955, 40855995], [26062445, 39145457], [14376940, 52773184], [76492016, 30920183], [21859701, 45283937], [83502153, 70612917], [2246721, 21760780], [48846585, 87709620], [32309658, 19241733], [73620184, 23983554], [40171957, 10397289], [35634169, 33421840], [45249024, 92365654], [88931373, 22103661], [76082209, 58082322], [10172984, 27456290], [69921426, 2786813], [29179986, 14898788], [9087225, 75986598], [56114365, 35230615], [95628626, 45293176], [6145001, 96680790], [51604976, 29961040], [48390423, 61831655], [27353792, 92169688], [41348496, 43571113], [13696712, 29985151], [10853414, 63721620], [35750524, 25803723], [9940137, 9538472], [41100707, 74659863], [14399116, 97906608], [96645490, 71846116], [55444133, 46720918], [50841165, 46991150], [93380028, 30941769], [26390510, 20038272], [48384821, 72294863], [43897490, 61809983], [99620796, 38392312], [76215290, 90116852], [86193861, 52536142], [2746986, 69712276], [53681362, 91096682], [11293106, 43018041], [21228527, 22321613], [39665425, 77303788], [74033688, 38872256], [89977745, 28020716], [90814140, 57740572], [52698844, 49744937], [45052477, 54660974], [46952891, 27708140], [67077295, 45670855], [82561770, 29866022], [48714711, 33778171], [7055663, 68641691], [4734852, 30603644], [38855697, 15224744], [80141525, 32513938], [74323486, 88181753], [92963940, 98278550], [86311921, 73245010], [46404214, 59520077], [84158217, 41754657], [38502678, 84903404], [13801095, 42600532], [95285472, 11382055], [95475915, 79993078], [80395855, 45644474], [86356803, 19697060], [77568691, 8352850], [31413300, 42989021], [72359936, 5729614], [4539808, 85179797], [5579967, 69248191], [73485070, 37289744], [5782875, 89860366], [73120198, 64931844], [60420635, 68372491], [79106770, 48702053], [74209884, 36089139], [81668321, 69477849], [39155578, 4566516], [19012812, 36065108], [90382468, 74895532], [51089067, 6002268], [53054834, 19888628], [83454674, 13365876], [85197804, 28842472], [52698152, 54916550], [50536372, 89350274], [22319126, 3017673], [69550795, 29023092], [57592233, 47136007], [99516450, 63812350], [73842580, 26201153], [46340379, 6299058], [46254977, 98340370], [71092738, 95465761], [79741017, 78650986], [19153358, 85448706], [1252110, 86267247], [32303942, 10285740], [41571621, 96295007], [87777523, 14181437], [18171418, 98403535], [26822418, 31847701], [87846522, 87222580], [71896737, 75988582], [4590800, 20801440], [81234689, 72919846], [79499373, 60160536], [79150016, 75040699], [11260116, 38331630], [61924045, 89233447], [61925439, 69801573], [46164179, 43783918], [16575126, 54830984], [73923043, 81977605], [71567356, 85853649], [28625388, 12610326], [65585838, 58356823], [35115179, 20071066], [4850689, 38442127], [78359208, 13764927], [9071171, 52330274], [10666440, 91910850], [11437969, 47233046], [58321618, 97198752], [35349676, 79628067], [87893984, 34277663], [12181508, 82549431], [31094087, 11767346], [31958283, 80334555], [91833528, 41861077], [79810635, 35620165], [40313233, 57374040], [49821636, 71385229], [56978788, 37395061], [33378484, 63075327], [36701879, 38229212], [95205181, 74121566], [21770243, 21945140], [27254096, 81699292], [37234975, 38169597], [32851557, 33701968], [35338258, 22389232], [28394145, 66880584], [59696148, 85985970], [97566575, 45083335], [52631543, 84710981], [74446633, 82941387], [24724090, 75351329], [86155926, 23267344], [10131002, 50124340], [43960334, 38182557], [38100638, 11492078], [2750196, 64378374], [54152013, 28183130], [58933670, 6375592], [73796545, 46849325], [47934941, 3945593], [12618382, 74195016], [83238176, 55805172], [61760814, 62863232], [87461939, 68174828], [33742062, 37711234], [41352941, 27209792], [21376955, 2021486], [50374761, 40529055], [24485561, 65137355], [15829658, 6945734], [11388127, 68115332], [4986803, 27534120], [89623488, 54774422], [4995512, 15245942], [74601495, 5940178], [97590696, 38451056], [18874245, 85931369], [39958078, 83095371], [32223192, 25507651], [2508139, 68448024], [3401603, 46505786], [59247896, 26857869], [13970869, 18357949], [48639417, 51972727], [36154201, 82523054], [47320117, 62929213], [21044444, 92417676], [29006448, 1206674], [20880919, 71014965], [39303446, 67053727], [45316276, 22207389], [54883587, 5692539], [75873064, 94615490], [80804189, 1623541], [11075235, 57184730], [76831791, 8534766], [81285654, 50962291], [33585226, 96129242], [10544210, 2444752], [430228, 77397001], [20513234, 18482246], [28471312, 73208189], [96776998, 18002832], [7220817, 71681456], [80627356, 9799349], [17300168, 61685199], [1618342, 16863992], [31304050, 10668588], [11118699, 20061116], [59220608, 2530029], [64042765, 98779336], [51085949, 66935593], [47727674, 53446013], [16125815, 76774313], [5215958, 62492989], [74403202, 55931370], [74914648, 99747646], [1239867, 88504971], [11315627, 45207135], [15430937, 15080892], [81471352, 7308702], [3902826, 43311475], [57278705, 17445041], [67853441, 4872257], [17055418, 33148806], [20302262, 88920359], [70883118, 22038141], [70465653, 38148425], [71690020, 20498541], [26243962, 45693388], [21991300, 77177521], [82756774, 29738303], [89336421, 36691491], [97434525, 96894697], [22001317, 89380607], [82053432, 44597779], [75425721, 13894947], [1064378, 32519332], [10292131, 7082511], [5701966, 34077313], [84770388, 88136567], [35483480, 17130114], [79215042, 67766742], [50524297, 475365], [39278402, 48905828], [25723122, 19967381], [53900061, 9738930], [61516942, 87100258], [42910250, 39968005], [81195967, 84515023], [66163451, 24715934], [39413800, 6173690], [71803773, 4204315], [66999549, 12032151], [89846495, 77419219], [48981903, 16396915], [91482842, 34120941], [80488374, 52899758], [71396166, 565306], [59048139, 27477115], [63983423, 25287924], [74949096, 69314675], [71649266, 59740682], [43653034, 45569210], [13517966, 59325625], [24345162, 6310292], [61580591, 23255732], [66993537, 29404379], [63392201, 82375025], [99303209, 40175042], [40187401, 23790346], [26602532, 41206960], [19363381, 73433896], [95341962, 90054401], [63370717, 55183872], [37758591, 92045111], [20523531, 96065823], [8960061, 56117240], [58457769, 54292728], [67256140, 93358242], [59905377, 6623237], [18314212, 46923036], [94209608, 39403825], [86676083, 12488816], [47485544, 96324607], [99907769, 15810923], [23262776, 8561951], [67570888, 55823197], [22108894, 88840051], [27272965, 47829010], [25847800, 66445764], [91056392, 97741543], [42380256, 41027104], [22306717, 2739908], [17946198, 30820703], [35587459, 40427235], [49748707, 70522047], [28989656, 21880089], [27149562, 88713779], [85268080, 40611289], [25562860, 8609386], [98509612, 86873035], [85952102, 38796318], [15234132, 68869940], [10376825, 78915059], [24899595, 18143114], [19296379, 28593963], [42671281, 31178591], [64579064, 60795683], [63845046, 39888317], [11734615, 36204309], [7103905, 58800979], [36996690, 55808502], [16414275, 89105612], [93565372, 94159106], [3939460, 9779798], [22812882, 24923082], [89548818, 95992162], [18459271, 22332229], [55332043, 66617130], [31841708, 32490628], [38792468, 75438313], [72107130, 66899851], [90323647, 4544910], [17084529, 97516880], [33733857, 22709100], [19081341, 58821795], [98483342, 51566096], [11405674, 10025489], [46985970, 60468115], [24420718, 91732751], [73333201, 82225847], [24075087, 55216581], [1432001, 78873703], [79560299, 38568970], [41657239, 75518004], [68768497, 34300875], [62782044, 33829596], [38015017, 50549033], [21970579, 68743511], [39116433, 29418363], [22094497, 83869534], [31008132, 95119585], [91222328, 3480661], [24317325, 59026349], [97155462, 13600972], [15503859, 32184056], [98430982, 31739265], [33670095, 23070787], [78437146, 94982091], [41018944, 27171646], [52901831, 12105791], [29914072, 45999492], [16136544, 16142031], [13450785, 15742951], [67040385, 60271551], [50669367, 3252827], [69533672, 63087334], [83626990, 54794357], [77565936, 33851693], [39975919, 38951544], [20105499, 38577799], [9530178, 47606147], [21085249, 32815525], [23965044, 89624248], [84473814, 43860168], [76013127, 60481050], [66776812, 94851149], [33403758, 64284360], [41313952, 21371641], [76387173, 87889704], [47106311, 36093562], [3293841, 76017922], [31616212, 14786596], [78938271, 44432280], [67109005, 9391665], [89516967, 89282597], [75156289, 87428712], [96737223, 87512845], [99912399, 50753351], [68005141, 70766076], [27150896, 86040368], [70086961, 9068224], [81331868, 53266597], [78094655, 74558960], [87329171, 82166519], [56309652, 29619745], [91320003, 10287513], [52893006, 59562664], [89148048, 91402228], [48647377, 28238457], [27475855, 96206375], [33787057, 56313358], [44530630, 2087011], [71159462, 79937126], [6987879, 9903464], [35900333, 25817270], [43295031, 61201710], [44110303, 64400466], [1538383, 11532952], [43325626, 22413074], [65487872, 26778383], [93266772, 7006975], [79729330, 1419042], [62078017, 12138315], [20213769, 89545345], [51201491, 56496158], [55901830, 77143691], [701202, 95698937], [31767206, 5403724], [86976229, 43438902], [47442090, 55534522], [61220703, 84153790], [63393767, 60310132], [37523873, 57118748], [3343464, 31198855], [73341709, 86723463], [92800763, 87958699], [40650463, 12884397], [30113215, 49611589], [81476357, 68708636], [27432225, 63757392], [79162138, 23261853], [23965730, 87202500], [32738713, 91452823], [9442359, 33157439], [60824805, 5161884], [77156849, 16743314], [13748440, 95884001], [71505697, 8417199], [17047477, 43428501], [56037880, 4146687], [17074607, 29842862], [55016572, 98333355], [89094229, 23895438], [40849615, 21023320], [27384800, 69057853], [34942116, 31953842], [43635228, 61662086], [58978044, 19214874], [59637709, 63946292], [46925439, 87867372], [41672756, 8454099], [69891553, 68176231], [40784791, 85675793], [72387172, 93211778], [65201294, 10176238], [4777681, 64713389], [30779947, 18876358], [50095296, 61450098], [51300092, 39016367], [34613676, 8576403], [66414160, 24386477], [84329544, 73230935], [11909523, 29899250], [47262306, 45277922], [48007580, 93313546], [56653904, 5667779], [45044012, 38242747], [28663991, 72678913], [4298276, 96770145], [6406529, 50117604], [57960386, 26037870], [78343011, 20330328], [18603648, 8769799], [98591195, 40147291], [79857797, 79614305], [48646654, 99564586], [60577779, 6581272], [13578716, 22870185], [2004252, 2230709], [42139273, 36503696], [89613392, 11139863], [1861113, 52151157], [2764189, 44627964], [18241070, 1026441], [16726631, 38097429], [22611051, 64270272], [84969432, 85829114], [16867849, 10933307], [11906831, 82613726], [34676779, 67939472], [64063327, 59487190], [19645626, 88722299], [50839815, 53241427], [97152241, 27540360], [95903942, 55497421], [21443119, 7374689], [29375005, 51977444], [7896595, 79749671], [72610539, 68251617], [54220980, 32725507], [12314496, 20243224], [15229544, 16392273], [39641265, 24720944], [10471909, 15683818], [67529029, 19299484], [93670600, 41292502], [53347497, 17762288], [2712785, 49922620], [87600814, 22852876], [86625982, 73630538], [83679936, 46177962], [14761786, 87565675], [76297777, 15778394], [56369356, 31207691], [77151355, 94701245], [66824020, 68198988], [62722052, 22800387], [74648129, 43738369], [13675510, 95204415], [90516458, 46731096], [22013800, 20810338], [44963100, 28314166], [66966474, 29800532], [96802343, 24717285], [91798067, 39824950], [96208491, 53800788], [17595781, 79403387], [49086237, 23955030], [91115322, 3679540], [90464337, 78900852], [30532946, 24653395], [13135872, 94250187], [25491200, 75972012], [81847667, 14587107], [98813142, 86961799], [36171151, 18128644], [44954338, 1795770], [49781058, 32912870], [15730632, 65395658], [85492543, 30978701], [95633769, 42758310], [82611106, 67710566], [16612118, 55828248], [15211974, 14663300], [18492390, 69707318], [43977908, 96558003], [60420740, 87853335], [27072574, 97888907], [11444391, 42177257], [47090112, 11733585], [24803115, 48274403], [5692933, 45662439], [45859856, 10377197], [29640260, 90108664], [31905538, 20666180], [9168773, 89836688], [75009198, 76262652], [44062177, 68971597], [98917907, 89201384], [80438296, 62659417], [53516636, 13623274], [21785501, 83181709], [57973994, 12826713], [10592747, 38906544], [78024553, 80824440], [88903550, 17837696], [1835542, 51684682], [59554425, 68791420], [97684986, 29139506], [62421818, 60741795], [75565930, 94578226], [31670401, 63247958], [26155187, 42595169], [39479490, 5614121], [5414565, 51956818], [30336672, 44909863], [47024313, 59364968], [61850545, 55985349], [84449183, 44125706], [95940085, 53758590], [86518533, 80809193], [7250666, 81186336], [19494728, 99539837], [6708026, 80609917], [4926977, 52272918], [38483098, 83358512], [79725266, 6184985], [97381584, 66742041], [60564157, 39820681], [31894743, 10365723], [76019265, 79911918], [38121864, 25726331], [34227574, 24670203], [51725091, 75750127], [90862291, 43638569], [71676577, 14056896], [37912264, 7242413], [24531686, 27899641], [84804369, 41968536], [67552766, 55122016], [36300118, 79930063], [85834269, 36725178], [59097359, 47544499], [61205602, 25916907], [59087559, 15154149], [29800275, 26576493], [99530003, 33264244], [26344347, 22423679], [4228076, 24678965], [76647114, 13332686], [86156922, 46454966], [51704372, 22885872], [72539134, 50452380], [99553552, 47598872], [61312470, 6325213], [39310392, 55709602], [46434078, 9170507], [41032200, 70811693], [39596332, 84504159], [75326073, 20529420], [11776372, 80685959], [80359120, 22847642], [26391729, 72367715], [46365505, 14040095], [58683974, 33951512], [65402999, 91518573], [19779517, 19756490], [79533365, 30433037], [52999344, 21022093], [63207296, 60694580], [40751578, 14908867], [69046150, 53099435], [86360156, 86766817], [19792819, 37401595], [65570860, 78687983], [13992548, 29105505], [70992414, 51594488], [1022052, 63602122], [30520698, 3621528], [41685121, 16358347], [9645721, 94920072], [63178279, 35193402], [80057946, 8769739], [12231159, 41082736], [65425177, 59903833], [180530, 73922629], [19490509, 86523500], [38045996, 11443355], [76883341, 8047885], [92168593, 68231574], [58404872, 65068520], [49735599, 61557186], [46892932, 7440267], [15299307, 7782949], [84346337, 11125589], [35128542, 21522491], [70977283, 4689982], [43635461, 84429583], [65757345, 57294686], [16286561, 18877189], [63469554, 83342084], [62084987, 55866038], [51046907, 15353885], [98634340, 47234042], [74859890, 28138227], [84282839, 26654628], [95232214, 98343069], [78265767, 46276471], [97458955, 70212437], [16606103, 32817522], [66738607, 97594326], [71253250, 52079410], [97863645, 56006171], [84415762, 97643789], [45294941, 94273349], [13014391, 86323870], [93150188, 40386413], [66607758, 64302641], [46683376, 84529711], [46076621, 1864873], [58284900, 21507335], [30732555, 22462973], [82295386, 54416718], [72127235, 52858601], [42984936, 3355900], [159057, 9278051], [63619368, 33253284], [38388807, 70490820], [59090310, 32441107], [79574438, 42904222], [22635163, 36493573], [75662410, 48069635], [52755867, 60738184], [9335588, 26396698], [62707061, 60403839], [51342974, 43255061], [35645689, 44274832], [88654090, 84737766], [94360232, 35956792], [20423334, 44844595], [43242261, 47972438], [59442555, 6786549], [38833063, 51355163], [2926795, 89088950], [57036438, 2606168], [63872412, 27395390], [94187670, 69101127], [93351169, 9040310], [61233618, 62273862], [57996301, 19169792], [85077347, 2058406], [99516538, 87144806], [79280558, 54286331], [51861147, 96190013], [43309150, 99763808], [40913841, 73119010], [34627627, 3857115], [3236099, 11911299], [39901960, 94710370], [30761091, 93554393], [19685237, 50126511], [26744815, 92878114], [32133654, 13206702], [4993259, 60908299], [16324201, 74253382], [73676073, 51203349], [51222830, 3005501], [8977871, 47049803], [24576280, 16149409], [22361357, 77386777], [78069264, 20999992], [16036167, 28121825], [14393179, 23363045], [63419664, 74714385], [10012141, 36833590], [93140849, 12637652], [53380080, 96549432], [43221434, 53314599], [81048439, 68415404], [35392705, 87586355], [27301292, 66540185], [36948252, 30803386], [99971348, 6572439], [58456580, 37657516], [80824946, 87972653], [27867858, 65771548], [75904889, 57829733], [87409461, 42851288], [63308151, 28215528], [43396759, 49086016], [61672058, 99654500], [97536581, 1139912], [27109473, 35205727], [34976917, 50887973], [20712427, 73446668], [56452221, 23145595], [24039981, 77299553], [55411097, 13784327], [80948322, 85245523], [7820615, 75825968], [14711806, 39814471], [22592133, 66626318], [53930560, 95011110], [20942777, 11964439], [17839554, 54798439], [17748065, 4581517], [64691653, 95799454], [81840048, 96387277], [35361315, 32082067], [25419347, 39373242], [54181627, 58405856], [12027507, 71338052], [33128927, 13272586], [68180499, 26539741], [58644616, 94728540], [94433305, 59239936], [88754622, 89334462], [89919650, 82758918], [1588317, 78408941], [98884841, 7977333], [38424210, 12426582], [36265683, 53652576], [62428814, 2543900], [12997620, 74182410], [1991744, 35029894], [98491772, 17149220], [48237511, 89817320], [80646718, 36956293], [34660115, 31337859], [62466649, 75470991], [37645299, 38336909], [16306803, 98066753], [21348119, 65709250], [4983345, 14494846], [88546314, 67833219], [45202667, 73875516], [63296280, 95109910], [60626377, 710643], [50283626, 93916486], [55453216, 27533722], [21634348, 12754462], [58680547, 33891333], [17706249, 51084114], [80474575, 38599844], [71063995, 20444662], [34420028, 99725892], [28516078, 21557297], [40753432, 18941532], [71062948, 65822424], [42663134, 32802771], [69325536, 25723282], [80051222, 61144146], [59413870, 29279778], [67146065, 25243122], [36457247, 87261881], [12425137, 19198043], [74691459, 82503205], [43300455, 19560867], [65432997, 94563785], [15503436, 7824381], [85667989, 57873617], [59669507, 18876594], [76948703, 52832968], [77758476, 30762677], [13028345, 33089449], [36098836, 46303503], [98274097, 971213], [97936556, 13041339], [40450032, 51349724], [88184463, 56162703], [45039439, 70056641], [61380672, 61097327], [73612237, 62008404], [57257289, 25755928], [9097023, 78874447], [96369423, 54223769], [76164273, 10856628], [40910456, 88848402], [82000036, 41158189], [4659502, 9135854], [14081946, 91697470], [45380867, 22674153], [17775356, 92997212], [72430321, 90998605], [72503851, 5215309], [82858079, 61799032], [91137219, 94704549], [36235368, 57732071], [11176748, 397610], [75299268, 98925968], [53848466, 74218391], [98347537, 35795129], [65469362, 52533641], [63848185, 14817944], [4213835, 65592490], [61098456, 47557012], [4042982, 426845], [79104506, 99648985], [93153759, 6308996], [48382441, 13314986], [54837457, 30132609], [93136235, 83881548], [59969636, 89339530], [50394104, 39205193], [14097587, 96171691], [64959081, 74418924], [4177554, 2758075], [28804215, 28923861], [86115286, 66919333], [89786442, 9030458], [37162473, 35867466], [25899476, 78049580], [95879119, 81257760], [35810732, 23358995], [83706031, 78627853], [35918556, 69487037], [44966980, 24913803], [41714440, 82430403], [16842714, 88039053], [92596410, 57334405], [68022070, 59978051], [82278370, 85543067], [84816682, 82460997], [39081064, 87101860], [71338877, 10552186], [97063447, 86808050], [83380315, 67496920], [62223947, 89605040], [90926414, 77784247], [83699031, 73094062], [96244074, 71167465], [55329887, 37459363], [73038918, 32747910], [39603596, 19792866], [34170171, 38824567], [13719050, 41308374], [90462459, 2268594], [68182920, 4088083], [69197591, 5483982], [71304521, 98826118], [9519687, 89441053], [97098875, 59239609], [50576152, 88360667], [70271951, 78498986], [20352804, 50143500], [54948729, 82138555], [82534304, 51840748], [28711536, 91373217], [73878350, 71247118], [47338314, 6707007], [30563190, 17932172], [27657822, 72569085], [73530581, 65757159], [12866291, 97298117], [72965691, 12459489], [14663419, 5654662], [58691337, 54712901], [29749711, 86355498], [42610984, 27311525], [74476685, 78747347], [84727913, 94967737], [24034727, 24762267], [85130825, 15379414], [77698229, 98007562], [31587669, 16831302], [30883944, 77745826], [59568150, 67179317], [50118551, 43632168], [4823793, 25119816], [20099238, 96426224], [70609981, 72719843], [22346318, 44866995], [2289808, 22683561], [27524339, 84397598], [42665788, 17924826], [55964242, 18826699], [49685869, 2768947], [42837639, 44302925], [22478940, 49370423], [63884958, 29837471], [27849888, 8994098], [10222048, 47041745], [33861782, 25353344], [18152166, 81158710], [13996699, 62759087], [22723156, 62615022], [58363915, 65973515], [24952457, 95165043], [73156025, 27951557], [85415141, 54104489], [39981117, 96201820], [27110335, 45885672], [3674036, 57399662], [62680932, 21727663], [18383678, 61229983], [79444138, 63414870], [48191859, 99899511], [70471795, 49452205], [26403474, 59374881], [42140619, 7152961], [3842249, 5756918], [36626837, 34685556], [28364110, 10472037], [48202026, 65950766], [75550204, 2390868], [65329421, 20516853], [2836718, 98319302], [61906797, 79309784], [95448385, 62816659], [18807781, 43892986], [91927564, 64043673], [34049554, 73636147], [78055710, 57951270], [73374732, 70515017], [22925463, 65962851], [16035869, 80053349], [23911377, 45617690], [31167604, 84834076], [55936830, 68416491], [38344653, 94497400], [73414139, 87528605], [82792127, 99782811], [69189038, 3326635], [27316168, 14993895], [6418646, 95874534], [27469318, 22136411], [88599023, 3428678], [73885269, 96100205], [69934858, 52108696], [79567566, 7360355], [60919437, 82911240], [65182621, 98077419], [47880273, 10165920], [41706162, 57482304], [43694700, 74417073], [50916366, 11531534], [51018419, 12826277], [79782787, 93767070], [66333151, 42353332], [85624081, 95352420], [18787507, 50418261], [13795618, 42244784], [65618890, 12182559], [93826401, 70169201], [26564657, 94409703], [71241678, 29112805], [4938032, 88668209], [80943641, 6805415], [17378339, 42361150], [20662757, 67713742], [4657434, 94316719], [45023005, 92067306], [90446214, 810324], [40306260, 91261216], [41852753, 79811916], [48748196, 35655058], [64489253, 67038634], [41338242, 17205891], [78153468, 66556135], [94008850, 8079826], [40448751, 50337001], [9666082, 7492743], [78117097, 13508451], [17262893, 3022321], [37143359, 53716032], [15997237, 49859545], [61451038, 76281178], [48089861, 23357245], [91534564, 74985535], [40025898, 66382742], [9686391, 97803931], [30851141, 880843], [42390864, 62410604], [20200021, 36273884], [10766522, 29243852], [43835547, 80472320], [72611924, 62860479], [95083636, 67205441], [32431866, 36097411], [26606300, 50767709], [65057172, 44980223], [74673154, 54980785], [78316764, 98626753], [56518364, 67962425], [99776324, 24587643], [55787765, 75742166], [39334716, 5599528], [42303486, 17113690], [8563570, 90014514], [31572455, 82337793], [81855906, 55879135], [52561171, 7759933], [87603219, 19539952], [43868114, 31923612], [64218117, 12799442], [49012862, 77492257], [50853134, 62177209], [65481825, 50543212], [45206020, 72461013], [72308191, 80321297], [5963086, 10059541], [85084315, 57635088], [61590551, 10728046], [84542616, 35041562], [27238340, 56146138], [12013574, 70401482], [3733036, 26562705], [60587492, 92404319], [28342267, 87183805], [14371337, 46767774], [96324308, 61953637], [21762572, 2890092], [63036114, 33353438], [74108296, 52840138], [15425333, 14483865], [92349061, 51811974], [13141226, 84325295], [96245617, 49881016], [68773053, 22598641], [54405001, 4073778], [36381770, 88268630], [22687107, 34592624], [95012367, 66750038], [54810425, 1871720], [74604364, 47950367], [12630689, 45142928], [10162305, 3958156], [24245416, 36835770], [32205541, 52472530], [58104412, 14744326], [91882234, 22836076], [82986239, 33818032], [66627559, 55053735], [99514938, 15571786], [66710856, 30251551], [70442702, 54714840], [97146733, 50066797], [96735220, 34873656], [98180713, 7469423], [96896217, 31303915], [1233264, 37414250], [57228314, 50174565], [89845132, 62661211], [79730170, 249487], [69010156, 48648369], [9629235, 88633032], [89577849, 78497928], [28488614, 21470325], [52748457, 40486906], [73029333, 37158937], [19500947, 67461087], [51215855, 58845440], [65327220, 79267502], [98185597, 18038928], [64057732, 56855733], [70676919, 37215379], [8243994, 67657584], [88940646, 42925050], [23342856, 27008278], [53239457, 43376501], [50945785, 37537702], [2550402, 89514251], [3602780, 38018264], [85385034, 34494353], [62380906, 97458307], [65398366, 80322817], [51458329, 2314117], [78249878, 27336282], [19082800, 93221175], [11979210, 23385962], [1421922, 44847764], [71943541, 93137336], [24589960, 74654508], [76603518, 18388157], [53731728, 35289057], [80809215, 96482699], [95497835, 27269007], [38779165, 97255843], [83923806, 71766614], [69155772, 95173967], [40111114, 88302155], [29353133, 52983282], [12146311, 6805495], [4253500, 51948121], [89004971, 7454772], [41237852, 50797601], [51992202, 56229346], [79909860, 40927468], [75782321, 46309012], [57883983, 62302517], [70390323, 41945673], [934578, 1682185], [26225936, 23361860], [26469252, 78533225], [93444731, 5456866], [57382098, 40284266], [65019868, 29899791], [99184591, 94733114], [52552236, 56413450], [21332792, 33377433], [94320000, 46332371], [62361000, 47746091], [8611316, 22157904], [51603044, 84046105], [47839757, 63096149], [54856101, 18439111], [28819374, 58165358], [5258841, 26599385], [8627785, 604704], [64482488, 30796245], [94845840, 69911075], [24634012, 62243939], [57552482, 73761418], [26206799, 52468282], [96138264, 37843235], [16012201, 65891833], [27746959, 29027578], [61819094, 19534967], [83164879, 39347021], [24055027, 28350929], [51571312, 45285270], [14922679, 82467499], [7819265, 27240377], [48071993, 68951274], [80099574, 19507334], [65592845, 26628335], [64541404, 12832595], [89416723, 5145273], [33389436, 58329177], [14517863, 18857829], [92400846, 38578708], [91747314, 28469235], [81128553, 3486056], [44069086, 85296606], [64929616, 75160297], [93355056, 77912174], [62364446, 83568478], [29275529, 36293047], [57272972, 5113153], [88402637, 73171257], [46387684, 10592720], [27717313, 40621102], [89655326, 5017876], [4593219, 25369357], [93977846, 89738433], [1223498, 34296259], [23594215, 25733130], [15713211, 91667934], [15153095, 30026436], [24121672, 99059335], [91132368, 62224976], [92224280, 97677024], [18593312, 43844934], [26203666, 40371269], [61706906, 74437639], [96383023, 28322311], [36021317, 27184070], [55769593, 28506558], [46296236, 96645620], [5395511, 71913771], [30341191, 30516944], [97004762, 99379412], [15351158, 24082706], [25064085, 28934751], [40082093, 57772144], [47059979, 8413803], [31723528, 91835039], [58420444, 16236394], [71537163, 99811414], [70480170, 5930337], [41199082, 28285545], [54985848, 62534901], [48392153, 64947167], [64009743, 77225129], [14244313, 17112281], [35714984, 92441104], [44444793, 46130520], [26513243, 62490544], [83589441, 41423851], [58663657, 10783448], [64147283, 87609354], [91028499, 81599116], [20693693, 5906471], [34255075, 58485719], [93348281, 21211000], [74358522, 86495856], [86694129, 11158712], [36040577, 53963258], [68043687, 33247843], [21584366, 84286285], [90650960, 15701051], [4763903, 98883485], [33589008, 64234447], [85494170, 89928008], [10567302, 52389186], [87096058, 23802102], [2370515, 88913214], [48766726, 31213199], [34369689, 65241237], [18652768, 41740060], [61762864, 46630541], [27919807, 53330677], [28257248, 7000919], [27951028, 63602992], [39847540, 97020276], [54255833, 49384805], [12233197, 63697457], [4336178, 87834142], [89154779, 34710570], [45738499, 80524743], [15056575, 22470783], [76404706, 36490285], [33260198, 7440678], [42641024, 66542387], [12561064, 83953654], [32761949, 56863776], [32591483, 26158373], [20610368, 61494092], [53292692, 42672557], [22274297, 13845842], [14017063, 35008141], [54480019, 10418176], [64937704, 86722651], [29509661, 21755683], [45590659, 75200843], [35713801, 25136310], [56597135, 69817604], [40241696, 1996049], [73584846, 48487154], [22583563, 42355292], [86950312, 88308498], [23728374, 23257514], [79519663, 85045500], [60807184, 94941781], [5183792, 15587681], [28262390, 89496660], [71851529, 95949495], [44428061, 13485089], [46497545, 14752860], [97068069, 46856286], [18823851, 50804233], [3612137, 72009171], [37679874, 98131620], [75345485, 99047899], [8742072, 46758570], [89295498, 99012293], [33483940, 22695208], [1135824, 74573497], [32815185, 92321805], [94042932, 19072926], [61849867, 8168026], [10909817, 18732807], [50134292, 83151199], [61020983, 8361027], [64085806, 19417544], [19026417, 46882539], [67207029, 7418865], [91245843, 17276098], [65812780, 5079940], [69379328, 42037659], [74053759, 12411523], [76412183, 47654561], [8630454, 3290124], [34243354, 74192804], [73598589, 5922182], [95099772, 3638018], [3374070, 94276487], [27025957, 52106147], [76075261, 71358584], [71602704, 81486394], [420046, 5960049], [75401785, 45120407], [21417261, 26583837], [19596039, 8370877], [85821264, 38021241], [65460990, 16761002], [46713324, 55638288], [38866123, 13912102], [63930918, 73667701], [83129506, 15069295], [52238334, 52439233], [17982874, 98604041], [7105496, 24516775], [59609225, 37223113], [57345339, 18408973], [56828219, 72299668], [13154704, 62821433], [17812420, 19700578], [57024108, 46658366], [52424881, 27592396], [42280234, 10413366], [89771017, 89977796], [95001032, 28954694], [58378907, 11314916], [78639664, 88084005], [96964457, 87088862], [91130729, 54005087], [26145016, 96755242], [40283280, 76328381], [94925143, 97709512], [53658726, 43181433], [45711978, 85321568], [74613434, 89356019], [23973752, 74990650], [2360699, 92467720], [97427535, 35816093], [27504254, 79349959], [8802827, 99769405], [69708332, 5826346], [7792376, 69294202], [23442210, 63842353], [4523777, 72257386], [5403642, 43561498], [2834769, 45570152], [46790434, 84279223], [42774320, 27763125], [72602659, 81974112], [28518767, 11443271], [11053489, 70175200], [24803573, 39215216], [43984378, 46346796], [47609888, 43743064], [66108571, 86248660], [46486650, 54183302], [19059160, 77307892], [86771466, 29697042], [96169689, 5288295], [81930153, 59038579], [73772431, 18643653], [15863484, 8656257], [91441323, 69323178], [28289177, 45362126], [55779848, 71691331], [24465451, 73170611], [9579986, 1722334], [99058466, 49918194], [9741660, 96087527], [4924182, 3926161], [60825051, 41910683], [55261554, 75608106], [54459817, 76081469], [2971859, 83606412], [34773184, 90870342], [52303758, 43920610], [90592986, 53718843], [13627722, 78947747], [36383245, 19202165], [38683639, 84243032], [86676817, 6409037], [50168491, 90618239], [91430951, 99326362], [65237893, 92326825], [12877384, 53330077], [91741536, 31475801], [13625311, 60288876], [45147183, 38479683], [9845565, 99636692], [83383275, 23749526], [61770520, 75213134], [24613170, 27746532], [26206015, 10360665], [20196678, 63421334], [60444707, 68501917], [81501487, 19602349], [40444984, 27325995], [62270978, 45574010], [80486066, 53264390], [6174365, 21163537], [62303957, 76742883], [35845496, 36409292], [452306, 22589435], [26706810, 26019111], [85137507, 93521764], [70952216, 13779794], [56570164, 77723979], [20391934, 33188364], [75976961, 1124492], [42470350, 85798147], [81170507, 72190814], [51722827, 10733485], [46042534, 26545135], [25358872, 95678142], [88839529, 23288909], [15151394, 86345544], [49624103, 43828389], [57498476, 85428341], [20751868, 80806128], [57763541, 90335369], [24558949, 31355510], [54329148, 52425742], [40601186, 85547755], [46837974, 68470241], [67282410, 99739498], [97003606, 56949670], [49269535, 38228624], [24344375, 57564492], [71111634, 99953862], [58588733, 25278238], [35960110, 35046448], [16069300, 38126084], [30360824, 95158750], [37810627, 77893288], [93700703, 91889473], [35877642, 85301857], [4436709, 94613066], [81155733, 79040456], [2606585, 82877581], [9631028, 22863641], [11063981, 12291256], [77250853, 23277093], [65698905, 66047261], [79138812, 42158122], [12289940, 39067229], [33888559, 19653819], [20756876, 80054597], [68335785, 29913822], [16625696, 62557232], [31844025, 23403472], [86137208, 97809466], [79462031, 56264834], [44842413, 25091884], [98590240, 99264930], [33563897, 80002806], [66258068, 34233537], [48646808, 42955825], [18689660, 4323373], [37465623, 18712224], [99778603, 84583744], [24401577, 23327477], [30930653, 50158329], [44645798, 95176248], [7715597, 37526834], [92475328, 66582250], [57805369, 89962906], [38576813, 38359035], [61094385, 37482332], [88928209, 55379551], [43924348, 10475327], [37872860, 29830800], [64600025, 53638700], [46926708, 12936121], [68449682, 67285317], [90095708, 19107481], [65174506, 19824444], [47740673, 20313992], [22505582, 87409236], [14430569, 70989594], [27496240, 63882440], [50412291, 76354594], [11429729, 78401718], [25066654, 19033587], [40899633, 84536965], [92363189, 85838301], [54008366, 25739666], [29348102, 92299103], [55025343, 67218870], [71941361, 86676810], [57263416, 99875241], [50858054, 78997887], [81420278, 23845712], [88004988, 78511648], [48981742, 8989607], [10788449, 12840848], [72432718, 2560894], [89252461, 28131342], [23142166, 12764722], [68541823, 3810927], [68613992, 75437950], [47099084, 1956187], [32105015, 31065430], [40346068, 60933919], [49060147, 83740339], [21774733, 93713686], [94620092, 85212444], [60607795, 67378129], [37100465, 88807685], [13344895, 11150074], [41744278, 11235554], [98498202, 18094118], [19580374, 16473576], [40039758, 58560942], [76717889, 21513581], [58139871, 89204245], [34771484, 91014603], [59296734, 55074152], [42588116, 11972417], [11339974, 864343], [34566242, 65440990], [49557380, 6114759], [70974258, 33516230], [75732374, 86902189], [25232458, 60499977], [28540511, 94633247], [65248187, 31618624], [4351503, 61810171], [93492594, 21512425], [4398483, 567036], [40581302, 26080472], [68416753, 71380109], [97680319, 24231715], [50392398, 77144421], [91891675, 2263378], [18737656, 48852212], [7451870, 31908568], [53829705, 28689086], [52132856, 8151350], [16747749, 83351073], [9996420, 7570637], [92529935, 45143933], [90712827, 6451161], [14666047, 47148749], [58122630, 12290037], [42057392, 87476324], [13904496, 19085172], [96583100, 40775035], [24185548, 5596692], [61365009, 364756], [1172241, 87883719], [33606960, 21935077], [38834403, 37349472], [86988585, 94078111], [38715213, 341505], [51284111, 62265195], [91657658, 87329823], [24234616, 64995580], [74847135, 36341413], [62011934, 68337141], [95282582, 7277299], [50252997, 49280840], [7643029, 65052355], [87478417, 50882071], [28162491, 6459202], [63938004, 83386863], [39498374, 89233230], [50296864, 73163173], [75787122, 40489301], [4578214, 99472080], [28620290, 94162735], [1921327, 12526373], [7030629, 86975626], [66803341, 69248997], [86110376, 71371686], [66266626, 94230739], [17024559, 65859924], [34634178, 82139275], [18537215, 89605437], [74722665, 48800263], [31947246, 53741127], [76828299, 97364994], [80215347, 66685172], [77901462, 20950029], [14032588, 62676125], [47823273, 34577691], [7000708, 29237950], [36938385, 36953385], [35590695, 69147605], [21760870, 65549250], [72801830, 44765802], [82700663, 14198319], [60822832, 55844744], [76089061, 78121715], [5559304, 26342673], [54421233, 78195268], [15027590, 95463770], [28237882, 90512327], [46716248, 93545182], [8801378, 65793097], [67194680, 23144751], [95411820, 47055214], [80539602, 80614712], [13252761, 64319451], [58550245, 68326085], [97663284, 10029933], [10559410, 40282053], [46253983, 65256774], [16770728, 83742899], [19976040, 21397469], [65449896, 47303988], [25766316, 42548420], [27942311, 92604615], [63958534, 23234850], [14384458, 38516044], [20610171, 86789512], [21851508, 48685767], [47527967, 52988949], [79252361, 77778849], [36934059, 70968681], [4802165, 9313821], [6697203, 21910438], [20919644, 12545720], [7571738, 29618657], [98879754, 26964899], [57856939, 19622631], [61859134, 92709753], [79049666, 88082446], [450479, 8282756], [53867973, 15379821], [23680716, 82098121], [78083730, 82074760], [46861297, 84052444], [55260054, 48287981], [60173094, 41720536], [68036708, 20567127], [79080657, 24534150], [40263865, 94067252], [11973495, 68282467], [82185595, 5273146], [76356222, 35702098], [91661163, 94865816], [1508711, 27343706], [43501263, 37493252], [94470571, 65145036], [66592531, 59834202], [83468527, 2283270], [95910246, 17510815], [21178092, 35505552], [70737690, 55836590], [80417124, 2415901], [88537290, 7238496], [74441899, 97779404], [34329928, 7025515], [15928815, 97487182], [76235951, 29434231], [10776096, 20476491], [5910487, 93667991], [43774453, 12493596], [74195785, 34582108], [91647122, 18805528], [13452111, 79016984], [54365306, 26791599], [1266993, 52560573], [32811914, 1238602], [1819757, 60702300], [99241858, 56538293], [95506386, 22707515], [67157410, 73473080], [52959504, 29729206], [68389691, 68481388], [66102994, 16380479], [47946841, 74420179], [83674261, 43836557], [26932536, 99014972], [48372678, 23232746], [69559404, 53718203], [81483590, 12049492], [46954810, 8699630], [85250543, 39201300], [55511994, 76732443], [26605395, 77791705], [7501880, 41527027], [24013665, 1062131], [25559607, 39616614], [21868678, 26170943], [57090943, 78289258], [83464878, 31621191], [15825724, 34842501], [98218039, 87393439], [86984534, 91110497], [15052413, 97372203], [95885411, 40087009], [64998643, 72104602], [65474067, 43772186], [69016936, 72404359], [74936190, 83811756], [75944945, 43542233], [64557388, 4445082], [92768969, 57186760], [97257100, 41690533], [8589533, 6464532], [69468818, 99206739], [32487735, 43672005], [28700642, 35680610], [15662836, 93098830], [47845925, 20813992], [56236601, 56056085], [54447767, 93605552], [99204999, 50111235], [83728313, 11967974], [57763345, 17332703], [48228514, 24569101], [80913580, 68124862], [28696113, 87377694], [73568442, 92510353], [27817700, 69805845], [94529405, 3750022], [24716166, 40871904], [56703026, 16430623], [17546128, 8687110], [17787262, 76518321], [6425450, 91842407], [18777590, 94928642], [34025608, 43457350], [50924323, 74224149], [80640675, 68672874], [15899031, 5936852], [93321789, 43082299], [14607045, 6451807], [85419680, 70938830], [81190635, 57064362], [35615626, 47024589], [67690246, 33698429], [35264836, 47951684], [70560398, 8088303], [16996728, 3907984], [67272046, 78220311], [1681731, 16278261], [70918781, 24017177], [42187100, 67639812], [17338836, 72375859], [22592199, 5454017], [6168140, 70709513], [17980524, 70751064], [38046255, 38632422], [84287379, 3941544], [64304906, 58235429], [57616649, 79850888], [6287108, 86990664], [28893532, 83074295], [99542951, 97764853], [29427062, 7467420], [61982098, 81745940], [32032475, 16480335], [46126496, 88850797], [60193757, 46980348], [40559167, 13903280], [22451066, 78579362], [50520403, 51362553], [65690574, 8640280], [94515078, 56816223], [11320039, 88193646], [96817439, 29812940], [79552401, 88841114], [9894746, 93476021], [93974580, 26247702], [26937185, 55275423], [42869709, 62890632], [53318559, 8418491], [24571229, 54728852], [76821740, 65652543], [955083, 12381103], [47357100, 5525229], [5079804, 12643515], [48107615, 40437288], [40358088, 51884065], [55672410, 81826514], [89026664, 71683900], [76343276, 99287720], [16107348, 37030259], [53567822, 45609833], [63290324, 80333519], [92746244, 57341850], [14808262, 36611869], [96088654, 51051047], [32396667, 41576166], [70072958, 93291574], [48050543, 45952524], [65028010, 78998554], [65002864, 56049999], [16899791, 24905534], [98512620, 10877546], [81637484, 36218426], [23245782, 71129393], [26490685, 39207725], [24902308, 84692074], [12042752, 26361839], [13706375, 47213949], [55707444, 80911179], [59084480, 91049066], [93480931, 24936517], [75735564, 78964952], [69940687, 2425978], [22778627, 30579321], [15669036, 94383138], [2217726, 71817176], [58246620, 75402037], [51568738, 74847628], [27047745, 1880350], [20644308, 89464203], [74305297, 57072117], [65637844, 29644133], [95102594, 13778655], [99940911, 77673680], [85286909, 19028609], [70512207, 81034681], [73458686, 27399333], [42636904, 25925017], [24231171, 36053163], [43741033, 40982973], [43782797, 37143727], [93797917, 3193506], [93725393, 81780459], [91504751, 78159499], [30011170, 83749925], [14773795, 84514914], [72334512, 26334787], [55619364, 77236122], [58192684, 74748693], [77805861, 38670250], [36123924, 22168335], [22832909, 37767919], [94093423, 82250826], [5484412, 78451295], [9903293, 25633896], [42248064, 48207510], [76388774, 80775940], [50513089, 11448282], [1549262, 3211108], [7710752, 69734916], [19642354, 73309960], [60282995, 41227188], [63524701, 53782903], [36601987, 91104430], [61552063, 30619819], [36634178, 10512863], [68526933, 87640544], [25074058, 24166012], [26484661, 85988461], [59679502, 54529198], [70547062, 14766971], [70318152, 54533294], [60474020, 32176545], [1813280, 88109587], [86383968, 6125265], [80623266, 42231380], [6424441, 48131687], [20592052, 1259530], [34624525, 34253678], [15210292, 61088914], [70509870, 17688537], [14235333, 86148166], [27117251, 20160072], [72796619, 9678086], [15864625, 62357787], [47766855, 81262438], [31119116, 33333758], [36155720, 60109180], [2373092, 22543395], [3903809, 32798878], [49487158, 87585010], [43397764, 89696932], [59883399, 51805969], [30435691, 71951853], [75467375, 36808466], [15935843, 34876782], [26340761, 71272725], [5213256, 928660], [52339114, 11289868], [74911750, 64062843], [58068681, 77054065], [73702267, 89916964], [7112595, 14802504], [33737227, 39021986], [36223882, 92921215], [30749431, 93617220], [7625194, 26279449], [72327567, 29795572], [20729990, 53409958], [75156800, 56037465], [98073747, 929562], [78542774, 59519216], [19207029, 90861278], [45766998, 57385497], [61604668, 4019472], [52147948, 61231263], [54895544, 4470017], [32355263, 67700709], [85353282, 40675369], [96703589, 54117726], [84005645, 40407408], [92166932, 7768007], [61955844, 99473195], [46158250, 50967123], [58585840, 79079426], [39669739, 15595346], [19122375, 40772123], [80082847, 30117691], [70750483, 57244458], [48564821, 81465890], [92909133, 36901835], [40390704, 2329541], [79255768, 70291469], [51864986, 10635279], [66190589, 10576721], [55500771, 42726223], [82518727, 28640535], [5241557, 73957805], [94322220, 31279331], [49885320, 24124937], [33672152, 31452534], [60385034, 72592583], [20614637, 66155953], [50150702, 94402177], [82788034, 76064282], [83635588, 24263554], [20353260, 3917667], [53286086, 12460602], [60886083, 9924617], [96247219, 53748367], [79249512, 69146204], [8970613, 33178023], [6355437, 11028094], [25194279, 36730048], [57173524, 66819830], [53838368, 87115686], [172325, 19862124], [57804862, 36719018], [63593208, 51501117], [41806882, 33547430], [28337711, 21436863], [84342146, 98471162], [67320946, 77453834], [88121310, 79980938], [3238180, 73716611], [40644713, 39487155], [36649498, 18734755], [52689032, 9775354], [17316371, 99789828], [40240944, 97704167], [86180641, 23304094], [41337193, 26231856], [74412510, 51168473], [4617683, 87541461], [99962976, 17645703], [608685, 96286961], [49695774, 52657821], [12546480, 75370788], [44828109, 46520135], [65644907, 80084816], [54046423, 99499886], [55513249, 33261830], [87038639, 46679260], [33612267, 33808296], [97197202, 39115195], [68788999, 87758715], [82570919, 43701623], [23121419, 59187848], [16329016, 7073556], [79336920, 96124864], [48433664, 51606066], [42391671, 64949496], [21402716, 71777481], [6937432, 96100971], [65490743, 94705637], [48369617, 96566088], [72533534, 33636074], [97632460, 26039878], [23443293, 4438437], [58790600, 62763705], [47526985, 55488775], [36636208, 3694563], [48012333, 31668412], [7335023, 74972315], [63773980, 14036396], [17091037, 95056191], [96475170, 95739572], [71305624, 52240672], [85050065, 98967793], [35419823, 12632174], [86183653, 48461122], [29112772, 70406058], [82071694, 71833951], [78272235, 56192554], [32590319, 10287128], [85732689, 36648703], [88815651, 18362161], [41214328, 79249217], [50789248, 10867170], [44307667, 83809274], [46498867, 12816118], [9865678, 57035680], [52360233, 19220554], [18015203, 20460222], [79128061, 44880608], [96490799, 42831894], [14292814, 77436864], [46387855, 61316979], [66559340, 58659525], [36823218, 71256477], [14769806, 91178654], [22649658, 95895405], [31931379, 90334522], [40442457, 50549078], [16139645, 85397539], [46098244, 20016007], [98197009, 43838028], [13429150, 27962462], [82097661, 55870502], [96004128, 42623200], [53753023, 74348351], [31812016, 79506837], [18471215, 86092433], [63882829, 30353440], [23771417, 12681172], [59133490, 40701513], [34665778, 10519310], [63279343, 1463895], [4718122, 87795715], [86253752, 53585204], [21233449, 24891287], [13694038, 65853562], [91709233, 16974480], [63173293, 45237394], [89318136, 99274512], [41933895, 26522516], [96166831, 65073683], [1321513, 63564455], [14900089, 22650550], [2204619, 52091379], [89270524, 6989031], [53937632, 57949804], [20593594, 85524731], [8070731, 32587904], [72693384, 35416988], [35279810, 28547328], [20424218, 35605424], [50547830, 67200036], [33990970, 77695686], [98944336, 28088880], [39149252, 30507704], [93413132, 78989938], [880200, 60112459], [60915987, 89906264], [69848332, 41406274], [69895860, 90677465], [30721815, 30921284], [12556988, 91654033], [48598903, 82857644], [40020041, 24822586], [8150796, 39391649], [20618973, 74504927], [41367210, 97440808], [69226403, 511525], [29230966, 29305429], [44497834, 87733216], [59629868, 97769811], [32565526, 43833761], [37549088, 79187009], [55885253, 7061324], [14381561, 88357057], [9141052, 98134358], [49016743, 4614227], [23017049, 13385328], [17756590, 95323864], [86824009, 61791249], [28743401, 25562034], [57322454, 74256906], [53277889, 65729175], [38815272, 83085937], [52625739, 90677936], [75151945, 214908], [79858345, 55299974], [5103591, 40936290], [3062970, 23930265], [53695018, 26661802], [92105618, 92068337], [10708115, 99998135], [69833330, 55607769], [13566563, 3294136], [99737889, 51764424], [56478682, 53289809], [91195322, 43444054], [92709901, 50608698], [93866253, 33105518], [5010202, 5713037], [85453206, 99736786], [40592291, 53463698], [98476468, 58854070], [39128858, 98920056], [29062978, 35847585], [83289623, 44771319], [15497102, 43268668], [4829320, 92575288], [12150648, 42074780], [91336685, 94100407], [73393439, 3043403], [75015492, 11410098], [48123206, 40841281], [10944407, 33007588], [92993255, 39283657], [46268641, 8050526], [17935999, 21952180], [72847060, 83280663], [17326379, 28055437], [4966285, 94564459], [55298105, 32943722], [38681661, 5368180], [25563575, 41654376], [71089766, 51033985], [91005440, 76495210], [48100498, 84202507], [86629712, 95163214], [12567075, 61949865], [25176351, 48999212], [77672284, 69325844], [41717571, 89269068], [99099423, 70680928], [48130758, 21628328], [95740930, 52074886], [97483035, 89370783], [73152857, 17277646], [58617852, 70033121], [54268893, 27462498], [39449329, 92377469], [85692394, 75828355], [73767482, 83109656], [77743021, 11586397], [61413620, 2216456], [78894826, 41178291], [58568127, 80918796], [59989254, 49296013], [68322733, 69837496], [98862616, 15519795], [54274344, 13785776], [72088243, 27565407], [5386297, 38745384], [13647311, 74935323], [18089378, 78370539], [95342209, 29115939], [41927019, 59173618], [24176551, 65652392], [81330308, 85354209], [94295588, 10413888], [23377998, 25407069], [10693927, 61179917], [75635411, 98176031], [11083473, 32353690], [99006678, 90900631], [44572474, 75582575], [69505037, 72407033], [77732978, 15521490], [72224911, 70836335], [65848401, 41963918], [5943054, 41086943], [60004127, 90224118], [65579031, 51410773], [5489072, 38741943], [7036299, 2843006], [87309359, 18517482], [7003077, 83517963], [95594832, 50600962], [45351344, 82793965], [23140526, 79320373], [28576266, 92452614], [12286706, 34073896], [56783298, 12924311], [19729122, 17045999], [67079078, 93472374], [9865837, 33039709], [47646469, 68939178], [4903854, 33935706], [92126608, 22139599], [75757761, 72652196], [78244173, 44897328], [18869560, 13941878], [22616597, 30046851], [30591476, 33512879], [6576816, 69730609], [65673289, 89933233], [6123682, 10420205], [89830957, 41436127], [67491294, 62122698], [56518079, 35249321], [39540145, 80769541], [24637108, 92088878], [96946774, 38734160], [39230557, 55828572], [81159708, 11090571], [13002481, 37941073], [59291834, 37925927], [87797387, 36913013], [64184943, 32791240], [26529165, 80080115], [11558811, 54573338], [89964217, 61660139], [75520565, 41181146], [93414534, 23997427], [39261137, 89685908], [8534441, 38660147], [82036775, 22285252], [18717455, 25534743], [78651089, 39601151], [15077944, 50889086], [41408364, 78160635], [86450085, 27990776], [19943308, 68456567], [96813333, 92442415], [54691724, 15618451], [40293073, 92385241], [94715429, 81999238], [84289538, 20431013], [58668467, 79955211], [41435040, 99757183], [15053144, 29617555], [64206414, 95386777], [10147918, 12716660], [51558403, 76759092], [59788645, 58765311], [65962569, 98160887], [33066639, 76182974], [92984016, 26845760], [70972840, 16430567], [23886593, 72802325], [84043017, 51151225], [65951963, 43540916], [56577159, 98905710], [50864710, 99542828], [13512988, 6962947], [67092839, 70438058], [41606744, 10036934], [63241894, 35672838], [26302740, 58407655], [71434429, 8096], [64971893, 62974190], [78970838, 11457073], [27376566, 87730558], [45559695, 8180250], [67872611, 19262412], [93171378, 87273160], [71054860, 32011148], [4341630, 43216270], [62513353, 66368629], [99998709, 87190717], [41401173, 32700200], [45486634, 62891929], [96496747, 35233584], [24765096, 40892290], [75658752, 25801713], [14310832, 15205079], [83624889, 65443031], [23180702, 54435607], [73682225, 20225649], [17178991, 42067293], [11310619, 17147119], [65092562, 72597947], [90039964, 61409270], [8318784, 10047134], [9123934, 6889884], [57614880, 98837666], [91202321, 96383437], [74504903, 56785055], [87322781, 16104007], [78754997, 50228331], [43833266, 99862358], [51556345, 68829204], [25828076, 54995796], [82395983, 45815147], [6268427, 5493460], [11397667, 47765681], [55868652, 34442592], [41995833, 30335028], [14837021, 14240281], [56686617, 54004723], [97685769, 99531891], [702761, 39215289], [23804994, 57547041], [12847278, 76789187], [66506004, 57780049], [86720921, 20773186], [43270978, 28844826], [25299341, 20221191], [40647125, 78909929], [13950130, 53671880], [90119782, 11404681], [26222381, 8966499], [81188809, 74221400], [66657605, 32715502], [70050132, 18861883], [83699240, 55545122], [49465078, 5977711], [70145424, 40499291], [69441662, 44485261], [37460145, 9805761], [53985503, 7821990], [60326599, 41270997], [97107066, 55233011], [22729259, 46112622], [78562377, 52510132], [29265910, 87457147], [67721712, 45856858], [43817643, 46435942], [40474052, 32630726], [88197956, 42848193], [11711820, 55641100], [65035364, 11410164], [53078909, 42823092], [79281335, 20953754], [91266396, 46647718], [3116236, 93762362], [44219974, 15290177], [6649535, 90623426], [78391282, 53148145], [99797115, 18012567], [27206367, 58680472], [70525342, 61278986], [68504506, 70063666], [10738701, 87381246], [9905492, 95484091], [42524903, 82651722], [92647411, 17634757], [6855998, 88219815], [27575181, 90374262], [87766940, 27681250], [57256489, 34653190], [78592805, 37577827], [68446246, 43753226], [70328751, 90752948], [20338936, 77291548], [50122000, 11965331], [61731386, 67948915], [40527986, 76446972], [69905669, 85278015], [10313731, 55877927], [87467850, 96950254], [55138505, 74629256], [30970392, 56185887], [80198750, 99965843], [76659615, 50860780], [83071960, 53414991], [89251108, 97629703], [78691897, 25467978], [55917448, 1375913], [82555348, 96314536], [95957342, 25114723], [13681495, 24746355], [34498837, 80128145], [73079368, 27184858], [9923622, 80947533], [23428040, 10215214], [38395759, 98570065], [5746533, 63248152], [15011785, 33692062], [45069853, 93972572], [23526787, 98632167], [98527036, 55945227], [33091187, 96002916], [70574352, 9909840], [11872013, 16382019], [44138756, 23072418], [60227089, 57208329], [9294474, 58327524], [64858358, 54974376], [74371801, 3663648], [56746684, 17934394], [25076322, 68984203], [2252017, 83703685], [94774974, 53485920], [43294058, 72722458], [96022344, 76114197], [44952848, 89442755], [82369253, 8381139], [58460249, 20736052], [79895976, 10088065], [19787175, 12952081], [54028133, 60663379], [98230415, 251679], [96721680, 56652840], [2990754, 17651446], [72153555, 85046486], [67695621, 70459386], [88547041, 92042797], [62617573, 41998704], [66866490, 84906691], [19124665, 95983227], [66611897, 70305685], [58738007, 65143626], [73398535, 85446596], [6798727, 2953829], [62406289, 23051325], [68042412, 32392180], [39270882, 93840834], [50234529, 43596543], [73125196, 75988198], [15157622, 33295592], [54913897, 77415886], [86518698, 4439794], [63302243, 30391188], [47873592, 7624567], [73807136, 73665082], [26046815, 30442230], [71448879, 47619074], [39297373, 29600311], [55937766, 73950806], [70569808, 35384325], [8475017, 99672271], [10343448, 79903967], [9376625, 73515953], [54207239, 8241170], [76384364, 48046819], [71037842, 59859752], [34889682, 3913691], [88004353, 83612878], [52385961, 12404046], [89915781, 89027526], [21396461, 55461158], [97546690, 75934669], [37021177, 6053913], [90570041, 81004106], [87688915, 50201242], [70045723, 10742522], [69079438, 10807323], [29103463, 327193], [29289063, 97803573], [59971028, 29204891], [24286013, 55355028], [66407398, 47314189], [23123219, 54756540], [37633368, 51057745], [9383214, 57849552], [35621673, 57717955], [76495817, 703215], [23255291, 59495699], [1249862, 61836174], [64225931, 48826421], [96281024, 3104362], [15984131, 72582626], [31185436, 61944020], [45933896, 39215465], [91961877, 64653582], [80607349, 98030183], [91540740, 94939639], [19724439, 67612047], [37460563, 35092991], [14566688, 27068924], [75192544, 4904934], [55662470, 33158989], [18381744, 69935044], [13767371, 16673119], [24846818, 99164963], [29977474, 42339627], [16094028, 65219312], [451950, 5783573], [57683394, 44575984], [20235614, 13684374], [3455357, 2536852], [82551635, 57034028], [43363484, 26201131], [81281887, 77562917], [74492004, 34177126], [27067995, 78083985], [84459438, 72317484], [53682840, 60126633], [7014740, 66013229], [88421520, 72881444], [49083482, 40308024], [7922035, 31638674], [55722786, 3379942], [24617966, 26368974], [47487319, 17780644], [6707429, 29938579], [592144, 24806421], [31915446, 71463388], [84647835, 87742212], [8442359, 46656547], [89618680, 99170345], [1923565, 81239464], [57428190, 4025755], [23336186, 40271858], [14391266, 4492944], [44461589, 17110340], [28427190, 60683940], [97252008, 80876258], [31222025, 75900562], [41955117, 89722686], [97748691, 88485553], [10480887, 60964897], [35963011, 61703785], [1660290, 95546995], [10496923, 25177508], [8877493, 83858141], [5407121, 31415857], [93539315, 43177646], [70733183, 80362793], [16768376, 9363133], [95768278, 10348887], [80516806, 44926785], [92707556, 75935053], [89271595, 69755123], [23289082, 41669314], [40135081, 20059113], [721424, 21398893], [45407395, 89691648], [99879857, 43851885], [82401710, 49454377], [34020186, 16217771], [82321993, 14331548], [37256986, 56110319], [37567796, 87558176], [76846418, 73617748], [53523624, 66529989], [67784350, 32633572], [3415359, 96039153], [52644400, 44449720], [64955127, 75411526], [76373030, 44155679], [11566692, 5013879], [74904593, 93154443], [83035242, 74959200], [29227979, 60788105], [97744706, 39482918], [11704834, 76381582], [82421442, 36861339], [42659911, 29180264], [68880152, 95878464], [10950806, 53805599], [1051516, 42875768], [66442338, 28391862], [13980814, 5187462], [67264713, 94865637], [78073165, 15454891], [45714698, 61742478], [81561231, 66618568], [77064093, 54313126], [15204656, 45562597], [98374762, 22978920], [90786169, 76746958], [3687109, 60393448], [43668197, 66566558], [82346818, 30319234], [70828326, 42693146], [41152528, 80908133], [69529102, 57057263], [29536806, 18021525], [79684946, 99472293], [58387353, 89671497], [59295272, 17446873], [36489650, 42332001], [3754700, 6991859], [33391812, 71652516], [76514520, 55355919], [2576418, 23365928], [84780844, 10071002], [90772105, 22396746], [16282511, 58697523], [46879467, 61440718], [95501821, 20666946], [53742794, 32056], [26652490, 37989818], [17610136, 67376092], [8083819, 94088278], [21523251, 20033686], [40510557, 73158815], [88715157, 71450859], [26609340, 83363564], [87446680, 72746893], [54230747, 11463586], [70041542, 8628606], [80997009, 94781824], [98311219, 15767480], [46562304, 1682721], [41580314, 95426712], [23740693, 84882534], [40232951, 88720474], [15309593, 50444830], [85268214, 74706986], [92434707, 25786318], [62082824, 33074000], [86306139, 87012201], [35585247, 74694267], [96267734, 34126733], [40981452, 20893251], [11654091, 85626824], [84191206, 86502670], [75851991, 55391950], [87528084, 5745717], [87577925, 30877681], [65947405, 97766025], [40456499, 74711725], [47632462, 51436969], [98579538, 70538346], [83006161, 31967799], [35562949, 27444014], [31338145, 96083970], [83974329, 16570402], [90634709, 45629404], [68659536, 63457483], [92012714, 67904808], [22683988, 11298426], [56306850, 29585545], [84740202, 96509005], [12428111, 24215630], [52096210, 97669881], [41857528, 83497197], [16279612, 7313815], [69027212, 31886459], [37670016, 63221057], [57312165, 72726360], [67245523, 89980078], [6573872, 57691935], [32930380, 18733210], [19559158, 91070356], [36321408, 6332733], [36196588, 71045039], [29030124, 64980452], [99256882, 94638598], [64102968, 64591804], [44412075, 84436962], [82200509, 63428106], [49863225, 30952746], [68024918, 45977605], [60733956, 27154072], [82157046, 38864693], [35173006, 55417632], [97695944, 52501170], [30782442, 17357982], [14679208, 14567011], [57144963, 5813368], [55976466, 57420930], [46941155, 2354063], [36296177, 40092174], [24477420, 89033975], [60913695, 70623686], [4952476, 63682010], [43973854, 8200120], [41347068, 66412799], [11483915, 31071779], [30903459, 23312059], [48000698, 20970200], [30971811, 17119575], [36606880, 31723968], [53612811, 55496843], [17149602, 9030915], [70805272, 59887224], [12136357, 82493713], [7276726, 93590655], [80971515, 22262514], [11810824, 98332890], [19669457, 19518476], [40713061, 10804056], [3407700, 61344863], [56000644, 84453534], [50802957, 56793495], [87278640, 67037415], [72117606, 70486250], [87632587, 69972212], [51040122, 58410978], [90786611, 88376711], [78886634, 42684441], [42575120, 48342722], [42807646, 39206949], [15792246, 47355502], [26854044, 66056226], [92952932, 50113941], [3549484, 42515598], [33750072, 67072958], [41534903, 67844408], [64009107, 75613907], [55090972, 13975046], [92960858, 42545885], [69699780, 30839143], [74676149, 9852404], [91495297, 55153967], [12019667, 82974412], [67683940, 4254281], [95460126, 84233733], [77930967, 52653850], [51197567, 4931510], [62628580, 7629848], [9231856, 21529849], [55487284, 45207920], [65068099, 5608153], [83789368, 20932649], [11837565, 22186135], [91392215, 9020707], [71827827, 87132681], [7572440, 30057512], [52602343, 64108778], [33116542, 67443761], [21404632, 352072], [21496830, 25183632], [68520783, 44524404], [98373744, 16561842], [78731182, 82980148], [69527099, 52390941], [21636194, 59627487], [17764438, 57195260], [25158903, 77314894], [7453967, 32388977], [50258018, 58175597], [26466523, 71669474], [88663918, 98263877], [42778401, 39982066], [73327687, 91915339], [40120375, 97840485], [29290081, 73648898], [27165967, 6069890], [13097271, 80445131], [29091126, 71501471], [18430249, 75146752], [64625776, 81504639], [8566547, 9954838], [20807102, 66998594], [40162997, 19569432], [86090923, 45159726], [89172357, 47598947], [42173727, 65179136], [64344806, 57962479], [24236966, 44795163], [64673775, 34481757], [73093378, 67665872], [64041097, 84182510], [34882843, 95118573], [25123452, 85464360], [39430463, 84052502], [30201854, 89449076], [69916264, 71255885], [84307670, 53437658], [21583562, 30019001], [83236316, 78689352], [44091452, 88358960], [94305391, 77512358], [40388483, 60706444], [99161272, 4083715], [34371906, 92047824], [20027402, 56134364], [12470567, 45136107], [25322761, 12445461], [89678637, 86853363], [10438099, 33120326], [37687234, 70048706], [61289003, 17581262], [40710006, 20518854], [51230740, 44897938], [60939805, 32773131], [35018939, 15059557], [10030668, 51125028], [12049897, 87291030], [75356875, 32827770], [67522666, 31070575], [47145431, 34134669], [9855117, 2758384], [4724668, 18439525], [79010338, 52983150], [39301859, 39963076], [23761404, 74550517], [21530658, 73024085], [67348163, 32627487], [220532, 93734299], [51629394, 99928391], [35628953, 22159763], [34998570, 47156537], [4801452, 15725647], [78151909, 10610708], [91527343, 9164160], [40604745, 34045378], [80920201, 2288253], [50181559, 91281282], [95601339, 23583213], [80944247, 40420463], [17500788, 31144692], [87037470, 40971089], [70113541, 34454062], [40950221, 74777480], [40625413, 31872281], [25668633, 31436668], [49765224, 78538063], [85122979, 55123176], [33977959, 13806700], [602048, 25700512], [81061694, 79999769], [20365011, 68328234], [87810045, 44257041], [73376232, 10011949], [38189958, 51361036], [38393828, 9270203], [22588079, 56785223], [54607299, 40181783], [59879330, 82914495], [84306243, 31254767], [49957236, 84907201], [79002912, 66113118], [66895375, 884714], [8872740, 58611174], [72674740, 84601400], [55141969, 74450698], [8668639, 80152182], [81505821, 57313808], [74320364, 49165079], [4226775, 91883263], [26010692, 29514861], [53045663, 69725774], [86540992, 53741052], [41469814, 14588943], [86441901, 67490367], [41295257, 35032597], [89562693, 60939312], [4742084, 7314411], [83412219, 14159953], [6065477, 30306241], [87630510, 99500494], [35325907, 67818467], [79965720, 5416856], [32678786, 67607554], [61209113, 47865809], [87841418, 18137867], [93642392, 72499454], [3933450, 23133541], [76878074, 55918691], [89196834, 6077863], [59329431, 62797571], [80237205, 56145361], [66930734, 44387436], [26313336, 94462685], [70734903, 23360825], [24403677, 55312704], [49778802, 83073589], [39682924, 9016062], [60114756, 30080648], [32316266, 15809186], [45597361, 19485890], [43208057, 13010442], [36579886, 18970221], [4391029, 14637468], [5735047, 15912038], [25684600, 11225957], [42230688, 63734893], [78469774, 25719022], [67163415, 56275671], [87666420, 37564660], [82493848, 46843759], [96658331, 89700870], [83568093, 64620555], [48221605, 96940998], [44037140, 7902484], [4817509, 68905610], [6360783, 11870113], [28821255, 22994503], [19797061, 80363646], [92504700, 35960103], [6002737, 84018623], [51185459, 29796173], [34020941, 83620078], [35297087, 95399347], [67854242, 81087512], [93786094, 91737580], [32745699, 71367218], [61247721, 40157639], [28325767, 41800189], [52225673, 35610889], [56824656, 19460091], [73035419, 17522980], [72818949, 98844820], [99317185, 82162756], [84160427, 51362848], [63826309, 90554867], [42144744, 46589351], [33153145, 74860043], [11781651, 4894225], [44830525, 76005159], [52614502, 34239980], [14863450, 28207315], [48642719, 31624569], [30910894, 82925725], [2249438, 35174560], [83768271, 93700589], [3858942, 6513146], [39691003, 63073360], [24925368, 50012888], [85081395, 53872396], [10933869, 36965915], [86603004, 7775133], [75454022, 94883923], [12604189, 92556410], [93818503, 20536985], [20205844, 5397071], [82613505, 13163798], [47803842, 32450871], [76053063, 19388373], [83869941, 66703199], [33962047, 86446521], [21231971, 50731279], [20434885, 58052928], [87878399, 48730411], [44776115, 97608375], [58260881, 27672260], [3987605, 75195738], [6480323, 71490702], [7277336, 77730927], [57291147, 15404308], [25454573, 72796634], [90407050, 20306546], [10533967, 48226778], [80312068, 14312320], [31026163, 57575209], [4952242, 57920191], [24348436, 21553208], [96893508, 51170827], [10734085, 75761527], [66040536, 67448930], [33360080, 84614234], [56602287, 29914037], [6774181, 60138625], [5270613, 94136086], [11313981, 84992004], [1063360, 42977913], [94915723, 33086180], [47042582, 41166156], [85709261, 97526808], [94440265, 19572094], [80091869, 5844982], [15221590, 17909753], [52775794, 1179556], [44844202, 91509812], [94234653, 7849885], [17463494, 25194944], [89233492, 20235220], [40394735, 20352873], [47111828, 90082984], [81699549, 61169516], [26887419, 61431430], [18500856, 92517460], [45127230, 96661966], [79165945, 61768966], [23179555, 62450482], [88124550, 77035693], [28864120, 6878859], [44913993, 56271273], [45998841, 10022029], [92287515, 36394159], [18844959, 38979217], [19393581, 42942687], [66439869, 70779035], [17385923, 12535626], [27045692, 39098037], [1740451, 57606104], [5690414, 41492302], [1097067, 87716238], [30336648, 97983488], [23530735, 51266716], [34738406, 39467377], [54675099, 23159933], [35271939, 36718433], [53407327, 44313682], [46400228, 48688689], [95880900, 622640], [79655612, 21898942], [58546363, 64038070], [6582860, 27002338], [42420947, 40333515], [18513339, 56948931], [22741830, 29235531], [90626061, 73292651], [97148754, 46933547], [4604291, 73791523], [54976154, 75286629], [94961793, 62817827], [48630219, 31882641], [83126759, 78153483], [67170753, 28847138], [81261252, 35902620], [91104103, 99493571], [87291099, 69576881], [31885889, 33962088], [36669043, 7491174], [35989187, 12740819], [47908266, 80702425], [34141340, 74534174], [9245657, 49106316], [63841610, 19069751], [33864874, 56514497], [56924226, 94023290], [86417227, 44690873], [57588828, 9786514], [86488827, 84747864], [13003112, 46278281], [11457091, 96179032], [46051122, 15423442], [32879693, 8241557], [42974259, 7960073], [64455090, 88588779], [512373, 76523013], [45682218, 84456578], [80503034, 34645704], [31810046, 18552012], [99171120, 6032956], [63128865, 30497701], [21836740, 27249256], [71017744, 41426803], [38825400, 13399574], [14772740, 32207180], [60676543, 73526323], [13514911, 52640346], [31968523, 9746060], [45758358, 34783005], [61538817, 29387177], [27923382, 33919952], [75725093, 1170934], [41568884, 48922763], [90593040, 87018234], [35828944, 2502830], [38971298, 27096073], [56589751, 40330627], [85434229, 79380097], [74127167, 11533278], [80547431, 23733677], [55426040, 30165731], [14499800, 60986104], [64161109, 37575521], [10294282, 26552137], [62498279, 87124332], [21684793, 90820985], [78883529, 42637003], [91936682, 35613753], [62018493, 3511321], [30144446, 92677328], [52595838, 60118050], [39854065, 29535195], [54327721, 31342061], [4499980, 55293303], [78431261, 86312039], [57019331, 15444717], [96332878, 58674324], [95032579, 31318075], [14366320, 51851397], [83919457, 38817030], [24400027, 60126482], [34677884, 55578378], [88600671, 82992552], [48512359, 12574514], [40002169, 10245158], [55906030, 20676158], [72868418, 86309597], [52117512, 17544734], [8015145, 79105219], [38366750, 76890828], [15872491, 11738888], [17787150, 26353030], [9647154, 93818988], [82084342, 3209463], [59858467, 36699093], [47215748, 93070391], [79973202, 4927344], [49735424, 61975900], [73189731, 69775423], [77096775, 11385214], [67281131, 17979130], [5383759, 17870712], [68695345, 4536852], [98943214, 17637933], [88745564, 78140269], [88430716, 84111304], [62439734, 67682814], [4575545, 57550204], [24811184, 1040630], [50269412, 22033143], [55621208, 36816704], [43209954, 80648835], [95147974, 9301560], [64140676, 83037514], [4667847, 83812167], [20043777, 45498131], [71752011, 83277816], [25893737, 46286061], [75102357, 2971029], [93220064, 14727067], [34445201, 23952367], [21703104, 96855724], [143347, 73851345], [36882819, 48587702], [41679821, 37509799], [86420861, 35410554], [36135230, 96836230], [22158160, 97084311], [11820916, 44195022], [78705858, 88615566], [3997358, 17217336], [54418483, 57896546], [22691068, 97200332], [86205156, 57823855], [84912001, 59942301], [8899699, 2083174], [99352205, 13840271], [77904678, 60932304], [93104800, 60218780], [61382252, 91119085], [27792625, 45161440], [93727554, 54530195], [45444839, 25795087], [17370281, 15757842], [84051993, 58140760], [52706363, 55761923], [52408412, 55512144], [76357930, 10525013], [82938286, 76847797], [74262939, 25444552], [52200006, 23055988], [66690618, 93716552], [61642170, 88628958], [78301397, 28272207], [11203812, 63747831], [67364583, 28210868], [17545350, 97493199], [69187122, 52603639], [14219878, 59070427], [16249423, 16201457], [36023384, 33587333], [98576800, 4618201], [61881488, 12641469], [7261545, 85593941], [64200541, 95730304], [28011861, 79479572], [34474929, 21230693], [12284658, 95092185], [64208404, 32003454], [54439144, 43375404], [10480290, 45702214], [18040150, 51730177], [92153509, 54955799], [42020099, 23811362], [84669740, 63647548], [5870227, 94567471], [74569028, 35921810], [7985698, 65999449], [55168274, 76790691], [92862285, 36476303], [99846463, 2444075], [39197188, 20970323], [2158870, 36482694], [46913599, 74956857], [56519860, 62289608], [59141526, 85417863], [37305076, 68319694], [96078413, 60841033], [91181932, 35232521], [51547826, 57314596], [84306166, 48517712], [11504658, 85048061], [55343597, 95848670], [36107937, 45279468], [40224885, 20385544], [39303160, 16764083], [40020365, 91976700], [57599636, 62553151], [43459848, 36707052], [82930775, 7475223], [42758775, 80458337], [84329139, 42648153], [66217546, 19118798], [15356853, 27574260], [18245155, 96372400], [56119862, 40870599], [49473791, 12469573], [7720011, 89718986], [78138313, 44528162], [38058626, 46027457], [65672599, 75420294], [45441964, 68130677], [13639537, 76225781], [35920704, 19460677], [57947319, 19415312], [79573625, 8850639], [26443724, 91808500], [38586669, 81141106], [6014552, 42393662], [92782514, 55077351], [81582250, 86520414], [17167859, 54770885], [7545444, 52285525], [93914118, 75746038], [69166385, 2414240], [90290472, 97311478], [45014277, 69351692], [64470764, 91103672], [25051719, 727436], [86978713, 77502351], [84518747, 79936367], [41300361, 92950842], [30254059, 82308213], [98912478, 22530133], [21385995, 11987026], [71553303, 7515904], [91669229, 10554751], [17283397, 99064882], [32898600, 15439154], [3075762, 72091898], [8365033, 67853876], [49283395, 27578072], [53562311, 9387897], [98958107, 22654241], [40140303, 34368219], [53504757, 25063498], [52845530, 8391804], [15973981, 40091922], [63725036, 53778941], [7840772, 69761674], [51642408, 8085656], [68026780, 26606185], [78751851, 87544002], [4272256, 54252661], [87578403, 47057126], [63944052, 37285324], [26384485, 37764150], [13678976, 71313625], [67306763, 72127031], [8252344, 34680627], [44652012, 57445361], [63510938, 11547774], [12260815, 94676819], [47008325, 90659453], [68592387, 18699226], [93464449, 98858865], [53222479, 40741236], [19602758, 82983276], [63345961, 72517440], [23082117, 3457701], [15878572, 46370679], [92803146, 526603], [9542243, 44778555], [95514681, 28560526], [8507939, 9813004], [57325982, 13555416], [95491682, 8945164], [42893516, 36746236], [13442808, 64288971], [23656988, 47762463], [99274370, 20399009], [10270242, 70426313], [36300771, 84048292], [68745293, 81490326], [38989888, 42333887], [98304177, 16399375], [39538754, 52668152], [48690249, 93029241], [97364467, 60846734], [65897561, 7104299], [23262600, 42858745], [98871614, 67669131], [65412168, 28506256], [5419850, 82469831], [43886527, 34984639], [35542360, 14901026], [73829296, 52006516], [19157449, 74223533], [36735513, 69222218], [16027956, 98360663], [66014226, 71371562], [30554217, 95192132], [45281359, 16737103], [45688880, 72414241], [86270667, 81398101], [96561381, 67076386], [46819091, 44969119], [12758459, 4159121], [82162965, 28794584], [99537929, 9189230], [47640228, 31032865], [26685970, 57611342], [54315290, 57585592], [74366032, 92806538], [88249526, 47151616], [66956439, 3312143], [88828960, 2138484], [2751658, 3363240], [79857264, 94448196], [22390430, 1470107], [69298905, 93886383], [15785171, 28828817], [13808334, 5403782], [22480008, 81136586], [52914026, 46849331], [20751559, 4276529], [26341159, 63216276], [2387437, 12027203], [1952317, 70322787], [86904091, 97860961], [46779212, 41013865], [36360865, 66157866], [41020722, 54530134], [81911674, 54304833], [25407485, 95985525], [76029260, 96245350], [94159266, 42841659], [78415629, 20383474], [49733047, 16564360], [91093421, 45648422], [93680055, 81402150], [14822827, 84815586], [51193615, 38665129], [61952365, 61360363], [6225587, 51275918], [95550062, 88921613], [96400267, 96946222], [42858817, 34863333], [75322648, 75313760], [24644324, 38288334], [6013997, 29981442], [61086465, 86472237], [23239314, 95051588], [47680808, 81155560], [23701543, 52443806], [46293216, 38032523], [46756459, 5005156], [29732594, 76260852], [23459244, 36998317], [11807719, 63963899], [24247135, 84706080], [47558235, 90383121], [25907205, 40858872], [82600159, 11317146], [14112176, 55794950], [952475, 50150992], [79464054, 24076037], [9789261, 24511693], [72546988, 50235559], [43703982, 48376897], [81775944, 57446537], [19750670, 63420478], [90803682, 99555567], [62755858, 89577670], [72678953, 54918331], [89486612, 48848161], [53595648, 76072846], [25530351, 16035022], [79275423, 65550646], [40964934, 94337318], [8297544, 47070794], [60766335, 83871021], [75126715, 99574382], [34489577, 27809924], [81701802, 7991631], [90871126, 99834181], [75357229, 20447719], [25409835, 15306822], [34282357, 56228138], [46503682, 11620421], [47987935, 19823993], [84307318, 33254175], [5399860, 73848420], [4219458, 70053004], [24976916, 725173], [75012966, 37722022], [39806688, 473373], [24539877, 54665161], [22494612, 62244139], [38768144, 27164141], [58156968, 75390467], [36655903, 82113374], [74754804, 87622484], [38171892, 93692032], [71707786, 65635216], [59944355, 17390272], [20412015, 35394919], [58786211, 81258770], [69002055, 65200286], [53708110, 50532209], [70310469, 54292472], [26204948, 63901852], [40549922, 71058614], [78022251, 47920888], [59152116, 72758590], [68781902, 78131377], [89082984, 44005965], [86146321, 36901962], [45976515, 95865947], [35017362, 56902424], [98768031, 15036810], [21548948, 73236968], [97050531, 75177396], [9161696, 6438009], [648400, 28724844], [10424732, 67187850], [41795364, 22563285], [50809943, 50487003], [73823140, 81409288], [15714839, 71796815], [38175691, 80862141], [41235874, 75076044], [72090763, 40537420], [80622522, 45682801], [7069724, 61017521], [36892966, 83840263], [85176382, 48085163], [85903179, 21010286], [97436706, 92522319], [60804811, 37051255], [95274883, 36959690], [83204280, 64310752], [10573013, 77084692], [9578045, 36375272], [34087527, 25247575], [12883741, 88185481], [5071754, 36236468], [47415204, 77276579], [82609364, 94964215], [97261114, 3698965], [44159337, 33808443], [17030816, 1121426], [15388396, 84462944], [99400454, 63285048], [36871364, 86378994], [70433545, 6230121], [17982449, 60145472], [73816779, 82951699], [79594045, 36631859], [53697579, 27629991], [52800386, 60449884], [89256500, 91469971], [6208542, 50079709], [80111591, 26320865], [99879501, 40291421], [82474062, 92819607], [20228097, 65202203], [26151141, 14802607], [87100200, 95582647], [18649204, 6003781], [92979921, 99551547], [95311581, 6510425], [67059430, 82982765], [31770885, 28994563], [51325061, 30033105], [22325040, 11795805], [95770671, 15524924], [764515, 9846414], [21905223, 28871790], [7977588, 21888600], [52624543, 66794386], [27592316, 19651004], [34056999, 40692355], [80432192, 99832740], [34197862, 87744196], [42595040, 29839632], [58444888, 89759382], [59117136, 93688867], [7029883, 30256082], [99775151, 37381604], [95165523, 10633999], [45774087, 69175416], [87336275, 13967008], [75343637, 47509380], [17092966, 33893989], [96878465, 8443070], [6587038, 35868771], [61950793, 95995486], [36981719, 83185507], [16971675, 62474604], [87702873, 80877336], [36090494, 70807167], [30552048, 30589439], [1591787, 44653501], [3173207, 21432669], [46266157, 6699617], [38175307, 57823822], [32820432, 91070336], [71561428, 16413116], [55247896, 37397642], [36821637, 32312805], [31360971, 44413142], [43259585, 83981618], [71109422, 2735147], [25581452, 57389047], [15060877, 95782634], [95741403, 54916996], [58324499, 76916304], [8975227, 4710578], [14363380, 32781673], [9656855, 92094459], [83390957, 61197634], [59627133, 72877378], [32541188, 88434136], [47083487, 4410661], [37849055, 45298599], [44323787, 66037821], [33376887, 90023662], [52882753, 65970596], [30962922, 12269442], [84841726, 15556213], [69821126, 63523197], [94839496, 82475924], [41448119, 24524584], [1994891, 9680751], [15120168, 13938933], [69235384, 48266321], [19726523, 90418556], [72147211, 48744240], [84864105, 85126040], [75200996, 1967431], [86098684, 34870469], [35087011, 40426886], [36873284, 97486814], [48295835, 45169763], [64603045, 54612785], [52570549, 66769822], [96273572, 60743237], [6847393, 14050678], [41481914, 28111143], [39790306, 96154677], [21960089, 86147971], [61991885, 97823934], [39680050, 48158374], [96024204, 95792746], [44437246, 1373809], [71568616, 90310968], [28564456, 18607620], [74510607, 95988547], [9786469, 7131547], [94960841, 85723266], [66064185, 23120224], [53563161, 26635025], [6049824, 86335078], [70959335, 41692236], [56243466, 57244995], [12161586, 44141753], [1649512, 78706798], [16890053, 8264180], [48161859, 90562736], [36961304, 54484591], [2157655, 92086580], [93044669, 61675415], [88886, 62263007], [83507844, 7641379], [22418276, 285647], [54647765, 27263376], [47612257, 7102467], [52039419, 79767577], [65046739, 9899871], [53674211, 20601182], [11495390, 80399243], [89223387, 56452142], [25403164, 22472491], [85828880, 48351350], [93485179, 38912041], [82000504, 80917883], [53570708, 63255403], [28739238, 98291929], [4970840, 33098248], [626267, 60807841], [92384801, 41143808], [9126609, 4256821], [89175883, 47726288], [40141765, 75119396], [49280859, 94109873], [29396837, 25974950], [66460153, 41674694], [55640117, 29864779], [90133266, 94128799], [46160503, 3012940], [80662912, 2732151], [20134937, 93732033], [52760846, 25944267], [56114143, 91001365], [18425845, 55833877], [33202879, 78826842], [71107009, 76608222], [78970829, 76434458], [59453529, 54204241], [93810242, 52783632], [10296333, 38267119], [11832100, 26156301], [50441615, 53373520], [72058889, 45837694], [36016662, 13151806], [40352520, 50498503], [11256753, 45812514], [95992481, 84451035], [22016792, 47247854], [64599130, 53357847], [16466741, 63406540], [23727890, 48518852], [22473509, 40877420], [33889663, 11731954], [82260631, 44746414], [2014828, 31440953], [21831862, 34937705], [49129474, 11536457], [31378647, 89300922], [49154052, 98205549], [64557257, 69634311], [8002967, 65418003], [22090514, 69427842], [76162726, 6446746], [78926294, 44986071], [10317191, 82870740], [19538447, 74456174], [97570658, 26263649], [32612485, 42919745], [27119006, 41815513], [80466752, 70882129], [23576056, 20760602], [6313626, 10901471], [60143583, 77272899], [87409925, 594952], [96800067, 45179535], [19660373, 47722455], [14847396, 71484029], [40252818, 1675011], [50774422, 69058407], [31267512, 75837821], [18849339, 22646052], [36183215, 52747815], [36455698, 53385346], [79711290, 34247396], [36189864, 29229459], [37066740, 62000770], [71192200, 21441216], [89547535, 60401652], [50774453, 5922897], [64895663, 50748302], [78721783, 55413870], [80272849, 66391031], [15812291, 20941497], [40770745, 32369668], [98883334, 15574762], [16343144, 33829360], [25797318, 68405108], [94801034, 98768954], [26345243, 57830032], [42650232, 46068557], [96883939, 72821856], [51763053, 57130203], [37424309, 33652304], [68365604, 9775935], [65365232, 26247111], [19455317, 40530940], [73976695, 88706494], [54000203, 12008074], [65622030, 21853533], [98006374, 46696922], [36251788, 63400682], [20606630, 87118079], [22763098, 81533892], [57740897, 45715694], [53949917, 51078975], [24988557, 9140534], [8222867, 20999488], [11826775, 10846380], [86487024, 71412996], [43444503, 21926880], [90191216, 91100919], [31617134, 28525566], [17430455, 69689723], [34090149, 81029394], [36826381, 62322957], [52924743, 61476803], [98626381, 66734358], [6372146, 40230899], [18846371, 76477608], [25808677, 65727676], [54926016, 81094173], [96858274, 34729261], [20196780, 61803095], [41185405, 18080339], [90466330, 87098971], [22123515, 26842301], [78709094, 67473195], [30292290, 80891304], [49462282, 79204129], [14295980, 50224518], [54872069, 57600071], [21955454, 16872359], [45672308, 32277766], [51806049, 22514885], [53155706, 51230566], [49108420, 60235989], [18588268, 4883655], [34274736, 10489827], [48530334, 66311859], [59861956, 83105640], [30166436, 89680320], [86860025, 35236103], [11780554, 86589742], [75235605, 28290793], [6116169, 21187198], [62402606, 50666995], [84578534, 68208900], [79487246, 79094452], [47571733, 36238809], [62523514, 65971963], [69692447, 49570472], [9233669, 86834877], [4324361, 69603299], [18854081, 38968217], [88581544, 28781992], [53728864, 29010959], [33936172, 27912743], [65993219, 72643167], [89055008, 90738386], [1757166, 26876089], [63306761, 69866649], [12270126, 69660087], [738903, 448560], [71057186, 68705758], [45840126, 79663576], [70661434, 25021681], [1458140, 44829622], [297257, 84452920], [4214234, 77788977], [12217284, 88901849], [42694700, 40563654], [17994429, 99353927], [83480632, 31966202], [11527227, 53223636], [80019999, 6750762], [42006107, 586420], [95452653, 68645216], [75589456, 9446958], [28785595, 94946016], [41443259, 85484707], [2552029, 7747914], [68877766, 86637581], [89503263, 49110256], [8211028, 39093280], [2219618, 38989264], [15193457, 24791335], [5527807, 2556696], [96763248, 95349609], [16610608, 77549921], [11457530, 51314071], [79409992, 96733580], [38513550, 67935327], [66590716, 89259413], [31708657, 95822262], [94406961, 98307096], [11906321, 55587392], [71492010, 35237602], [59116065, 81727574], [47259454, 37971622], [76908592, 93769429], [5123610, 2283774], [88229401, 17839875], [92300499, 7113218], [31967960, 67106008], [34147893, 75441524], [21235989, 57048977], [57396268, 75082956], [62731484, 57245808], [46236713, 9543986], [54815620, 10694765], [53114642, 86430857], [44050292, 48970533], [10343404, 32253426], [80155415, 2556599], [51974217, 74523409], [58623259, 56428218], [91442527, 6429249], [40842233, 95749494], [70225703, 32704717], [78997966, 40581973], [19365315, 17411052], [21401245, 92966711], [53625182, 36322334], [6623637, 88937552], [45764132, 13234078], [68705630, 73233724], [93558150, 32807849], [60641678, 46679983], [93946903, 51707281], [55630800, 74027736], [38569805, 99492682], [12731593, 8666708], [62689296, 4932397], [5369866, 92509353], [84313369, 50704880], [98123365, 47764356], [26909956, 43925704], [52349816, 92002940], [28313778, 34141073], [61677805, 80200009], [21732893, 13260474], [85722530, 13420170], [68736621, 79316044], [14176259, 84755727], [26247245, 48984489], [427960, 40649687], [59991151, 42862467], [15483078, 31750725], [17438702, 58914778], [65047638, 81509812], [16957616, 98326189], [52904159, 19501629], [81803574, 40863743], [32136542, 65746678], [59342428, 36119186], [18234193, 10160908], [63930293, 3763994], [34068232, 89793776], [95231896, 14644599], [18809979, 48435777], [26936129, 97526028], [35985491, 46102158], [36510081, 86193188], [27697292, 59662867], [50135761, 67405059], [56789453, 49949199], [9184357, 62060127], [15063421, 5850177], [19853440, 53172778], [44561987, 1825287], [21277399, 41949136], [81330833, 58543757], [2612870, 94574531], [59606103, 96903695], [57193442, 22534916], [26322583, 3740395], [47003494, 91668521], [5534140, 52071890], [23185249, 76185588], [82325775, 51056995], [87132931, 38793333], [11532432, 43744918], [16078584, 35387646], [85891494, 45397373], [54969475, 60630920], [64070029, 35106923], [25458708, 32744557], [33411033, 55738193], [79765625, 2905994], [62865640, 14896960], [58659131, 25297575], [20337845, 12429018], [50737464, 53048843], [18688286, 53210258], [36857864, 6992575], [36180106, 34560746], [76649085, 93341210], [39207719, 26965296], [99361249, 36758854], [43600473, 48906850], [46790875, 76888000], [16719877, 73509322], [76244701, 56197575], [48521877, 70153979], [40468679, 5053075], [77673620, 77955902], [79109017, 74302664], [48856621, 26202636], [67867701, 85472190], [16812164, 9833213], [27910630, 90817509], [4495935, 12115397], [94875646, 32640618], [63758202, 50528123], [63705989, 37107102], [8973538, 19228942], [24168827, 22522498], [77100206, 96850362], [87583526, 68853164], [16248706, 31598255], [8833618, 12261592], [4762756, 54316575], [37448041, 77945611], [74184643, 19830273], [56927605, 61920947], [74721118, 51668492], [53263124, 25540618], [41359004, 47582280], [92203062, 28279192], [74875659, 91981911], [90287602, 82572158], [37569116, 83457423], [43653954, 332058], [67622332, 95981762], [2414224, 51039928], [28209687, 65834423], [49633871, 46715118], [16146026, 99381741], [40346448, 29031974], [46766938, 5147533], [87102438, 92194929], [81043293, 1004586], [80608043, 11657846], [48859561, 30166496], [3575708, 62392174], [16001683, 58713677], [98837204, 45313847], [18687723, 81160262], [61915984, 6105850], [84340032, 32325756], [76725490, 3704821], [25942327, 83326393], [37117308, 15625427], [24247277, 96427721], [80429504, 65000548], [80677747, 9590156], [5904356, 21306318], [27279915, 96323762], [72631989, 20941221], [82500326, 3400661], [41119245, 79086522], [20576797, 15519445], [38982165, 56320221], [92586950, 87476685], [82500815, 71198249], [81373226, 25746968], [58135854, 50866492], [29177854, 15551539], [45382602, 58915493], [60339232, 2981026], [54108773, 97349308], [97470013, 19270055], [58604570, 65489368], [59558459, 63460734], [83030029, 9877062], [96911007, 50411986], [53382639, 20754453], [30894048, 45440929], [40790673, 51325290], [31522422, 70657654], [82065718, 22095770], [53324226, 83916], [83934230, 97217030], [98699320, 15841637], [35286567, 49816885], [47941653, 86906754], [50385283, 57514403], [84566845, 24610286], [20187982, 59610157], [69163168, 56658091], [98803875, 62093434], [29146588, 10224258], [72528225, 83496212], [90192589, 50075146], [1833629, 45252469], [76268637, 26995719], [28297742, 20922725], [34320559, 46761308], [66355275, 92616171], [47970115, 25607939], [14990082, 48688774], [45765614, 49408530], [60658706, 37515922], [21505268, 83838897], [13303176, 79476683], [45508170, 14177167], [75592151, 79356929], [65531712, 67145389], [29305205, 5226501], [1266542, 26204442], [87386032, 17079776], [46118691, 56419918], [55469213, 46583019], [91070263, 58799038], [30367824, 98718198], [21122917, 47667416], [12028153, 22485111], [41861573, 77976930], [50246375, 11195595], [47593723, 60346637], [5855503, 29825840], [89863198, 20333286], [34332658, 88241392], [93117802, 39037868], [93395264, 64965675], [47708625, 73466279], [30360743, 614736], [11920761, 65531783], [43368845, 25905537], [24299383, 60452673], [10474265, 49016642], [23143267, 96644476], [72186180, 11035351], [94588964, 95438377], [62749080, 84417082], [80566198, 59119253], [85053519, 11564094], [1635730, 57412438], [21397404, 50054770], [12170711, 87472359], [62335834, 53819741], [16884920, 97747636], [80061557, 40654349], [75888431, 88689922], [16928021, 5036653], [87115342, 31743328], [55723133, 26262502], [81513182, 46077460], [15901309, 67496590], [79746035, 44419798], [68758352, 98606888], [29860161, 54083476], [96839259, 57412807], [3853994, 66230771], [67371198, 5151630], [5351791, 54349280], [5981705, 49829414], [96088038, 4530641], [55771192, 95805486], [86032361, 35307321], [33341943, 13572971], [20736448, 60277885], [57608037, 24635859], [80428130, 72509687], [77390323, 48780629], [34743276, 4328055], [36959969, 49851738], [17809741, 48878441], [7452448, 21515208], [89875418, 30506779], [39391207, 76666546], [47327322, 20032205], [36285153, 57657413], [80581032, 74999151], [4262705, 74479063], [12446489, 30851724], [61021100, 94401027], [43399148, 17315052], [84005709, 72454989], [29552938, 58107182], [70572584, 62584616], [3823733, 13275394], [63644881, 26486598], [81817265, 31897139], [86660652, 3554221], [80271770, 85686002], [9491500, 77387699], [1248448, 76173335], [88258816, 67869900], [74262348, 21122337], [28590710, 61308837], [37613362, 16551560], [33041970, 47495579], [37342581, 99319952], [99514535, 7906581], [57167163, 26330517], [19288455, 36398772], [45465574, 22486977], [72812906, 5884282], [57502001, 28015489], [22587022, 91013353], [13255709, 55721977], [6121370, 66840550], [6062938, 66755250], [12593921, 9550432], [80293722, 24685567], [26422643, 39633204], [39800784, 21062752], [77822545, 4746823], [52086319, 67754178], [78508550, 15180828], [61709657, 10983433], [90436050, 14974614], [70684305, 79842875], [92165193, 29874134], [10155452, 69889604], [68642970, 23612054], [7973190, 75546916], [67770290, 68385533], [8201951, 82005638], [31850741, 28404538], [76946664, 34557509], [92568289, 19567510], [75106350, 6389849], [74148315, 65634422], [54322086, 7124128], [51988525, 28734406], [15084858, 1008892], [69249863, 24679331], [42407441, 71996735], [24009660, 26443141], [19862139, 44704659], [905772, 2057726], [1293007, 46935034], [7053033, 9532706], [5850849, 65517088], [57102478, 74669505], [88200610, 97259149], [9055226, 64486691], [93945681, 53911641], [21988320, 1338666], [12674420, 19191455], [54994312, 9403030], [29226068, 55859751], [44513272, 17504108], [19184402, 55114430], [49952395, 81278122], [52012157, 21919225], [64302598, 64361841], [42534161, 68010077], [91938154, 57781493], [29060918, 92450342], [75334392, 13912938], [54475830, 83041627], [43407954, 55477955], [56587171, 35294977], [38482131, 32838416], [30783853, 11549130], [11017198, 15753755], [29553723, 47288098], [62261163, 93653643], [79900415, 57581218], [91456164, 26272009], [3007727, 52861102], [41838557, 25554217], [15316994, 9457849], [22177927, 83518648], [83045821, 32919285], [34161095, 65435240], [57465966, 13288177], [94690235, 77794056], [29629648, 56889319], [4928157, 48679487], [55324275, 45169613], [60124629, 15177067], [57361081, 17009638], [51826825, 62047065], [51782555, 76001674], [56476558, 86709112], [19346756, 50487032], [89341869, 51173659], [70579750, 51901688], [23946477, 16710125], [11130505, 36679544], [20276577, 61703136], [58179248, 38453744], [21056759, 58946596], [89227532, 49543570], [18622182, 64662906], [76638872, 76220977], [3428579, 59122479], [87487614, 45844999], [58095772, 11601824], [53674039, 72853455], [6967619, 90940350], [92217561, 97421877], [40889284, 81814363], [64163903, 52610466], [11844833, 43260054], [82330476, 33322154], [44014319, 88099334], [71233865, 67874527], [3461350, 371426], [88895166, 93329573], [51400516, 4944908], [60257861, 48560451], [25296078, 33380260], [62840405, 65148372], [47091716, 82156566], [24592933, 85823174], [16137156, 63704414], [33041554, 10347780], [23510640, 30384306], [76888646, 14572818], [36191084, 38199289], [66378271, 36615099], [90575617, 29831085], [54740270, 19803653], [44981424, 6046441], [15896382, 32805639], [70413812, 19836384], [36759372, 40007327], [58610829, 66613054], [21243807, 83118510], [19697168, 71692231], [47827059, 38052843], [74261501, 9071627], [74422198, 46127560], [34933952, 63646874], [31984709, 2159896], [66956254, 92056160], [83094909, 13375162], [45489724, 1115174], [54096034, 28800389], [72696779, 92076607], [4927421, 22076560], [89184894, 78819680], [65866813, 11648415], [48476190, 29112464], [30267821, 50129793], [25339644, 61222834], [43226463, 8961665], [45867925, 81712828], [56216577, 8831523], [86321316, 37315877], [76480756, 8983372], [98724743, 38741937], [53827543, 34180000], [82861427, 89100279], [65999767, 55518016], [42918793, 22891548], [30927835, 19941981], [42992395, 53542691], [8598863, 36016170], [96575767, 66871148], [85219950, 68793086], [77546127, 76964038], [30103841, 84851048], [63391591, 92410238], [38052995, 41957842], [38280974, 93290690], [18894436, 7430570], [64580385, 26194449], [84087131, 98976885], [63190668, 9700385], [24343873, 37314884], [77301178, 44965159], [8301033, 90690427], [6148120, 74651909], [88904656, 39786121], [52866529, 9412570], [82805283, 99567277], [94628792, 86555519], [69857087, 18671972], [64508623, 24998718], [40614242, 36191440], [81817279, 78941197], [30877217, 15198759], [48772437, 2017528], [10770319, 13567411], [79839480, 5007312], [17910560, 49577866], [48129994, 10675488], [61990248, 91983303], [7186718, 16071029], [93635370, 53077837], [49883630, 44773767], [53512362, 81322421], [11460966, 68311445], [79839721, 3314137], [90902607, 78831165], [23837004, 76726976], [30387844, 52796339], [81526002, 32336166], [20503306, 13484085], [90504130, 57836010], [79251655, 11245574], [75172028, 99653518], [73694840, 62612614], [45253780, 61501071], [43351716, 21141750], [74986035, 27816170], [39314598, 13219728], [22732973, 52188729], [71564300, 19584883], [9025738, 28676785], [53568540, 44167257], [27549887, 78037385], [29004943, 68706477], [50198903, 57625391], [36238387, 18650658], [4326672, 89971477], [70077613, 84840889], [28276874, 60601686], [53329529, 58141767], [80060389, 75794492], [40742653, 91922779], [58686756, 54601324], [17887561, 2487199], [90997720, 75206041], [40345339, 201581], [44637838, 24302634], [30795293, 60982286], [89867334, 8752209], [92479043, 56426710], [58131730, 3246446], [16430214, 20563415], [50152280, 29578501], [7602572, 74723042], [26431731, 45935736], [46709619, 49075750], [43902910, 45032850], [35043137, 21957964], [87946949, 74310953], [99263508, 66502622], [32650566, 59642959], [19782357, 66862352], [8566188, 13717278], [13840816, 9137122], [55775632, 37552667], [64737654, 35155319], [45976908, 59747043], [65603037, 46830631], [35615647, 40762216], [57848581, 51691834], [47068091, 94027930], [77421213, 9233272], [93832135, 84229051], [20478466, 36276267], [25894100, 85434752], [50192043, 79000915], [25962898, 63041715], [47579412, 63575440], [24847686, 57263046], [84551590, 94289252], [21440370, 15121218], [28544584, 85599082], [11379744, 92173274], [33644643, 50434193], [73050271, 73769706], [18954737, 60465033], [8454812, 36214541], [43232733, 53901682], [39330138, 88523953], [89491489, 6985294], [43584443, 25867652], [3382146, 46246977], [57922168, 19947297], [52440655, 83658419], [43858598, 34551345], [66156136, 53978690], [67000139, 50880610], [32433185, 88623346], [37115135, 37442357], [77214250, 50008415], [16758625, 72551228], [87404200, 53468557], [90352568, 65360246], [42629982, 68892765], [37633153, 83093961], [65239141, 10285707], [33498433, 2667071], [39462735, 63175530], [86503421, 54219353], [32934481, 23765163], [27514518, 97156559], [82592513, 68066759], [33321356, 90520394], [58778399, 68845123], [12770292, 78415942], [65543194, 57363928], [86516431, 9294756], [90865026, 35859838], [73114836, 4995413], [79258057, 25512059], [65899424, 11473463], [27643854, 71702759], [7841632, 61671278], [11348581, 4662304], [95147709, 31071301], [4615235, 63229439], [77236286, 1326228], [55060400, 38530240], [97754192, 67549055], [11540840, 41332336], [92917942, 3586732], [89808572, 62374498], [96964409, 61964711], [15942992, 90253554], [31408187, 1590369], [92111310, 82776092], [45859817, 83885548], [99488322, 5636734], [65319671, 31505779], [66868832, 33853350], [92476588, 26169713], [29740182, 39557583], [44419179, 6535699], [20688293, 99031195], [72603479, 6484579], [4459799, 36636282], [11776979, 71768301], [11014946, 53446429], [6596333, 61620657], [83951879, 22363748], [78860901, 7429963], [960799, 38705369], [97801893, 74798706], [53169859, 55144215], [41181573, 30691089], [83154178, 93918056], [99198210, 42262764], [28116321, 26526440], [48939702, 2672601], [77110630, 8996570], [12602468, 62695768], [81026529, 74128053], [84617534, 86836661], [39164789, 44480411], [47652462, 89717539], [11269968, 81492482], [88677357, 35905231], [38693151, 73620601], [32049711, 60056306], [6634907, 8732713], [39965022, 83262118], [29554583, 77975461], [70800587, 53606490], [36665819, 51509252], [64978618, 42019679], [7931432, 39588213], [28909039, 36547047], [1511366, 37703747], [30609763, 13421470], [87959165, 31297145], [68412368, 14853101], [86846226, 97934053], [46352674, 63701890], [31292367, 77166702], [52604548, 8713626], [34159124, 57147536], [40655440, 82092157], [47478052, 8734912], [1775948, 26870691], [60299035, 75278579], [95133542, 58761417], [52617250, 37183969], [66895994, 66864541], [54104307, 64896756], [88172358, 44217438], [39036873, 99130900], [46976534, 85311456], [23907180, 61319965], [69167749, 10085883], [67011177, 11455055], [14354098, 48986858], [92313540, 23787851], [66261034, 10994496], [88208884, 12311609], [6664627, 53156695], [9162030, 18924618], [11762266, 99263601], [84867804, 97035963], [76925888, 15359851], [46916290, 17973865], [52226818, 55968083], [79392135, 23891706], [57118172, 89371206], [61042058, 42800735], [56003027, 33942541], [65658425, 90723671], [59979203, 8004326], [33752510, 62391955], [92308368, 60405996], [55254851, 95274793], [22823327, 35603466], [2804028, 65871701], [48029953, 63792480], [7280625, 12702756], [88243175, 21579994], [98120851, 14951790], [25907111, 88074386], [52732391, 39002110], [16079905, 68082412], [41368383, 21071283], [10744805, 13517389], [18921726, 48565896], [69259354, 90248399], [2858583, 91349002], [1430752, 770409], [35385110, 32637179], [23978756, 73175753], [83301532, 19188268], [45268185, 19201280], [88390106, 15769742], [99190283, 78705250], [23950599, 914531], [48636696, 34688876], [54286166, 88588228], [93420095, 45328215], [82321251, 76441618], [3230546, 66545107], [43489796, 56264897], [42291328, 56941516], [79773568, 35447657], [38722287, 50396443], [68532626, 47850621], [97711520, 99514747], [82766487, 15439428], [56104082, 85657052], [12469538, 51287745], [75765503, 2689940], [90086887, 60340351], [21277411, 68864009], [24040950, 39179803], [75245475, 25320679], [41513694, 86428883], [95456155, 99121326], [42861268, 69074706], [79961853, 86772586], [27709575, 50648745], [47445310, 48805097], [19184458, 9968737], [44239961, 49472263], [60215330, 78344890], [72675756, 52131676], [94437895, 61654509], [5206510, 50736616], [56332311, 97193866], [54976536, 34005495], [31066394, 52976497], [33037919, 12315950], [13786105, 35732679], [82898261, 39063125], [6689875, 26422367], [92569077, 57758655], [96312777, 49836826], [88631046, 64846194], [74788907, 46002670], [58359711, 67299089], [43372075, 71616911], [23292576, 4967411], [66458144, 66926137], [71769802, 55989791], [46657059, 14622217], [92811695, 24577778], [26576709, 1312638], [18416039, 57032402], [29380068, 94688219], [96177271, 95660702], [27728079, 20127561], [63832137, 2349452], [52325029, 9357929], [35076014, 492628], [93018403, 83611174], [87877995, 52595265], [96610991, 76693999], [46954466, 87222515], [20817989, 27092023], [35701308, 33980563], [44895180, 88824325], [27177888, 53376975], [2557825, 19995557], [61375484, 34374462], [92888355, 71570646], [31933917, 46858064], [255015, 96203843], [55680656, 8028266], [76533465, 32172441], [16409986, 27088557], [59327013, 28542869], [85866111, 14487196], [35097325, 89539230], [96414810, 75108919], [69088657, 38735461], [22972035, 57195536], [30399495, 71846136], [94660655, 76584917], [90221180, 3242787], [26873128, 76408624], [32241659, 47755466], [27323623, 75303204], [91129433, 85188674], [98045577, 30836007], [74013183, 91434493], [56017931, 49465477], [38069657, 24844796], [40118382, 71424003], [46269889, 65335069], [18008782, 44870524], [83778286, 7788087], [15609227, 28945696], [29032856, 20452798], [37653486, 72659192], [40153737, 28880507], [88923655, 88074159], [62113916, 1051641], [68319628, 48455584], [60063946, 54245635], [1575872, 92019656], [12690462, 64420151], [59881196, 77157245], [8902966, 2086196], [61144063, 56388313], [66783739, 37536107], [77911999, 59664764], [39942294, 44010052], [98394317, 92435868], [46734948, 36593135], [40423411, 54665384], [92156437, 72582606], [41258502, 46884527], [49281609, 90598160], [32452756, 75884363], [57939793, 22212088], [49957480, 99114669], [22668532, 40501387], [55610277, 16327947], [59435212, 96945777], [58308008, 35504654], [738597, 74151014], [94169715, 43409324], [3353333, 41540462], [98571432, 48094711], [96159056, 12752299], [90730558, 46433388], [46348577, 40739557], [22861126, 53572717], [82728316, 32063001], [5123630, 54517139], [285333, 99609769], [96151362, 19757598], [77744316, 37832573], [89908440, 1289157], [11560163, 87653829], [8362272, 49918814], [25625734, 11528840], [20595904, 93578547], [66129225, 16388399], [93273241, 85739340], [3820663, 6116912], [1874085, 69753135], [35239872, 23858951], [96995388, 54646055], [68070532, 90996159], [21331016, 63075151], [36651198, 70529161], [32159090, 20365749], [17849931, 10316463], [25918953, 39732749], [14608663, 71274958], [79296106, 93564877], [13332146, 27969481], [54446076, 17477928], [67600541, 93212248], [64810733, 50446934], [81135408, 54981354], [60655888, 3411655], [53739741, 68284960], [75525877, 66583520], [84110232, 62870167], [32194002, 39799614], [48723601, 77200316], [74255839, 92600502], [69850044, 43740359], [97713603, 41430762], [27876194, 76677384], [67765201, 37297532], [53731400, 63188861], [32351990, 40348441], [34629826, 13561599], [52269664, 12848528], [82397420, 13720706], [47782317, 26793917], [39441662, 64739564], [73483331, 18087491], [8585310, 88807534], [60698809, 96249708], [40141196, 24686316], [16812628, 18688794], [79848908, 798092], [31595091, 85463348], [3478098, 43632812], [51108163, 98416096], [96180539, 71732499], [8648378, 85447376], [24261828, 25362342], [11875288, 23654933], [33191748, 50000571], [76515514, 42355406], [83284657, 16810925], [48097363, 3211440], [37228854, 18856941], [36791021, 90832383], [46016573, 41611545], [66615162, 62440864], [87821036, 43134175], [53919410, 63295788], [85776151, 32477710], [68858648, 47871127], [85206350, 79287546], [40394511, 44420855], [66393507, 32170569], [28043500, 56655584], [41512437, 40729376], [81291950, 40396915], [49627264, 3319759], [59269928, 63231312], [59979274, 3634454], [80288070, 54637366], [38316966, 28560761], [25628769, 72973020], [32639224, 3645422], [98171455, 35236613], [80072868, 15239433], [28127208, 18935957], [96715843, 46741506], [17235654, 612592], [24352223, 86252702], [19156544, 95480306], [27092196, 34561250], [19375692, 8876903], [41864600, 20825009], [65630131, 94923860], [94099444, 64043718], [69609925, 93863304], [16661891, 46174741], [43644579, 8927170], [43132101, 86030588], [93301360, 17677311], [62594882, 91034078], [93126069, 2679065], [86004343, 84129854], [59296426, 82802591], [48301569, 93184442], [47790912, 94851193], [75387825, 74590476], [29036344, 6735795], [60301384, 73516828], [65541752, 60542748], [92702972, 31307624], [5560590, 93634582], [91794361, 43873617], [71710515, 87501483], [7470151, 99999179], [13180609, 6217635], [43486394, 23840173], [85412592, 59877111], [42962775, 8823879], [91888829, 27693054], [74386898, 80542899], [99744333, 34747696], [84261626, 57486056], [43601530, 74559812], [2500602, 48190006], [97317922, 85361768], [70849185, 75146804], [32495427, 26047156], [11537438, 20793607], [4828936, 48129185], [21349117, 82211821], [50816450, 53335373], [76313700, 26553998], [82306405, 5341377], [86212481, 18467749], [86052633, 92922147], [31221308, 48375111], [76539469, 16986607], [92228835, 89717771], [42535148, 48632029], [25860992, 89766078], [35242433, 32633885], [54967027, 40434663], [68311828, 10041587], [64914783, 71563130], [79112718, 77162491], [85695210, 85684369], [40567076, 34098012], [59439284, 44617704], [47289754, 2632616], [73123134, 74442118], [36860190, 86526563], [75236227, 93228825], [50820341, 83255648], [48970681, 62804404], [47829207, 84380570], [25899397, 23958262], [22179026, 52065912], [52641236, 95029799], [57237825, 52449982], [5880787, 12980111], [35244303, 22503291], [86920693, 44686528], [64315886, 58261185], [74462495, 33794667], [84677296, 12478014], [72810870, 68867512], [6882980, 85913680], [67101142, 39592868], [43627857, 18832982], [30563110, 21379912], [93441979, 66279344], [27921890, 47369663], [54180685, 23073959], [96849706, 21829132], [41894479, 8774816], [85261443, 13557184], [74126197, 98325079], [99614297, 87996234], [91557275, 69905445], [39796040, 76167694], [98807021, 47835331], [46662880, 92900679], [88399832, 39075921], [53742457, 32172014], [12300869, 40401486], [82122457, 52731862], [4524651, 63302295], [24139420, 9628056], [63042495, 9196434], [6302486, 23637608], [68089232, 19183960], [22314933, 35274455], [18132138, 12333966], [12726652, 59179255], [69440418, 33008371], [4124533, 79910063], [18782446, 96820934], [40816014, 685023], [50439114, 77495814], [78354238, 12118310], [64258016, 15263579], [17550371, 91089963], [41205658, 91283092], [51871, 18130553], [16112106, 71080087], [17375128, 65559075], [11772566, 67729186], [23746196, 35898142], [56642681, 19926249], [77656759, 31896033], [63318334, 24977969], [45950923, 27109083], [60750996, 55192632], [29918175, 3271515], [39726450, 58894622], [67835082, 23098944], [66736978, 63772046], [27285599, 73791614], [62409303, 3220764], [2471575, 24054084], [8077452, 77973795], [61422789, 82999523], [40149974, 95876323], [77168383, 53942565], [13350006, 53776145], [17443220, 32922964], [7811243, 80180786], [387842, 20636757], [22764034, 78975267], [6731948, 62398107], [47125923, 26191672], [3456513, 27179900], [18529341, 78403737], [5437755, 72835942], [51431901, 91166659], [90872024, 88900239], [39253868, 33459076], [21683824, 46670696], [75405982, 12174268], [49348325, 89905118], [39941507, 63549566], [84609582, 76835481], [54102083, 2749023], [62324181, 62685419], [25190168, 6077378], [7160395, 65564500], [79294642, 95634964], [36491181, 79507958], [75174153, 11121408], [45260342, 84324335], [16418787, 26928440], [88915136, 88472243], [54136326, 93739431], [28184831, 92377190], [13732004, 78875378], [34981086, 68531255], [17603480, 49747798], [64834431, 50779715], [44527138, 42925328], [61246095, 94814439], [64531123, 11862261], [99837670, 69178051], [67462037, 2852637], [85798492, 50268709], [98925571, 61128046], [38676988, 25367305], [61206277, 83709996], [10519904, 36420339], [24389520, 40222144], [12411102, 33985015], [58759952, 84719267], [37908186, 16060001], [40922451, 85625824], [22612055, 49865216], [15930604, 15629955], [46111382, 22634945], [24330936, 74877682], [9971996, 12949090], [37460005, 18570991], [37045320, 90078967], [85102558, 28519090], [53741394, 61543613], [86032136, 67137434], [3353714, 77931537], [53690948, 750336], [9479591, 5651033], [68877930, 43094094], [808750, 13124531], [20507077, 81564326], [66407085, 10744948], [22100260, 89742267], [75746025, 26206782], [15043247, 90978560], [89551604, 82082173], [91941879, 26958897], [22363760, 89448377], [51232062, 31850458], [64444522, 81824400], [42126976, 54825598], [15033206, 99717375], [48931298, 61520152], [17560324, 30100348], [18354839, 901443], [16821102, 62168109], [65688157, 33983268], [12608201, 26103104], [86528022, 49371172], [16428792, 78971728], [19445476, 12882358], [98934303, 94943853], [25315702, 1589791], [18587767, 29242472], [87263672, 57061951], [23293443, 95410119], [94987229, 50350533], [64582974, 41135718], [74984526, 94818302], [47521430, 17976262], [6241709, 6896221], [67353561, 78707194], [5229751, 61107688], [8891411, 95451571], [14110500, 17124163], [53086970, 11087294], [86436807, 29065917], [32610487, 22697845], [46759094, 94235406], [93692292, 95842797], [67882710, 90424176], [27758201, 82968943], [58556233, 28698353], [59603073, 54575691], [12345131, 84022425], [78473119, 79141485], [72065367, 95987476], [14417540, 57667033], [83510307, 7840694], [73541147, 48043228], [91063702, 50830068], [16389102, 56067609], [97574565, 29531718], [80335122, 99224288], [52296135, 68871690], [55672805, 6525512], [94205500, 4887643], [35190213, 8265271], [76574609, 202583], [53697870, 62092961], [26301532, 48304917], [95151402, 31705598], [75651943, 42024863], [67859996, 63389268], [7659984, 22199112], [26596401, 57157620], [47026503, 93931084], [38592154, 17092049], [49518691, 15348702], [70075601, 45139953], [59305163, 25442750], [1941555, 48704478], [6070743, 46522710], [63232165, 35870654], [94194652, 16598814], [88991967, 29512200], [67508409, 97337641], [24675540, 51483787], [12401323, 22011008], [22236523, 5711062], [7573741, 72223465], [46225416, 85582136], [62386842, 61366476], [65433014, 29757592], [39596766, 52529702], [49193150, 29800048], [10170488, 61745303], [51559838, 53274751], [51187815, 18830451], [82262247, 58033459], [62513706, 24178465], [49001721, 22307166], [42403725, 67498576], [63632243, 84733235], [28368389, 9098245], [44517129, 32490791], [44487025, 17471645], [91011446, 11568463], [16534648, 20693376], [47023875, 20181923], [81883514, 56720404], [85799814, 21066337], [21768607, 36453750], [75364443, 30556303], [12016490, 99776808], [1908017, 29124853], [96463679, 49045268], [21137271, 21549258], [76338931, 84054345], [74611356, 57171873], [88795607, 41970880], [1306273, 58808272], [5520766, 92754804], [76883435, 28615211], [8854897, 7576347], [89747360, 19888523], [92705737, 14873369], [65154625, 69238683], [83309223, 22827029], [347542, 54833304], [44321039, 3314949], [46181571, 56464483], [84518906, 41307009], [69677840, 83710663], [28770165, 47434389], [60092461, 72739096], [85068101, 92525282], [11043700, 20431588], [10387284, 89281012], [38736530, 38811514], [48212222, 17035687], [73305418, 16885321], [75622547, 76826589], [47130515, 17974400], [22859683, 33240755], [25739142, 5851407], [90594045, 32690502], [71738581, 61343795], [67778220, 98785829], [89742461, 82236300], [89855909, 73497041], [39215443, 55038823], [5983447, 25362556], [92743039, 42177790], [61661897, 86944628], [85448153, 47864664], [10613877, 22574570], [78214035, 28952187], [71015419, 88261617], [11389727, 79139420], [52150017, 8892148], [70270251, 16915197], [95772720, 58882411], [19968204, 84487022], [14711138, 24168151], [71049752, 83736842], [73503712, 42346215], [34218413, 21740834], [60652862, 8694108], [400380, 9649046], [4435131, 57408478], [26669741, 10232926], [28462200, 57332442], [31027141, 28201301], [18959415, 79549792], [59004424, 62181943], [30782769, 2172737], [27418703, 9957028], [79603839, 86843235], [90922415, 77401132], [81809022, 91435037], [30559736, 13238919], [2148076, 35054286], [11966697, 5279180], [65645022, 26106162], [53266996, 4170382], [74966226, 30456992], [48992125, 27235597], [91845265, 37701778], [34830762, 68777899], [44127674, 35888452], [48633406, 80430439], [55697948, 96855711], [15557943, 18578754], [17712196, 18936074], [9914453, 52263067], [6460125, 68553782], [14503990, 79674414], [70838308, 87075663], [98275592, 6304244], [72432334, 37657318], [26705319, 99065028], [46486783, 60512759], [68200852, 91705783], [33124816, 1396269], [82775271, 13222233], [76373874, 1987833], [90314247, 52650366], [27305238, 55201845], [78532598, 56075578], [38840141, 93767526], [62210197, 86198804], [9210505, 12975363], [6218343, 41010002], [15890983, 87860484], [95212309, 78071318], [13527036, 46290252], [3779380, 87730888], [81806307, 20256622], [50312703, 26866665], [75999333, 1460258], [50254036, 59130556], [81626095, 23391451], [93825017, 62779873], [70744282, 96172373], [21386350, 89272128], [38648444, 44886956], [71877594, 14291016], [67548485, 23111552], [52542284, 32474896], [29473025, 9398096], [6224620, 29712890], [26784776, 71619373], [44576408, 52972272], [42079796, 809561], [73656077, 4597134], [43961707, 1972665], [37910131, 32397463], [62044040, 92363083], [22813474, 10787356], [60549378, 86615296], [61448667, 90877778], [47247730, 65120856], [71950243, 55297017], [77621255, 84335822], [29716366, 81876504], [95816858, 80559393], [14679132, 82775959], [53202527, 99944793], [54483126, 17152366], [5040247, 33266408], [48642738, 9193995], [48326465, 6439162], [66973220, 20110749], [88656146, 97613960], [84922204, 58351825], [68847587, 90624454], [25328410, 46331911], [53203097, 84257342], [74305682, 50611890], [65450071, 58274456], [29635332, 887108], [97784906, 31496319], [16189918, 7599516], [49684163, 76808301], [98542281, 44903694], [94562162, 16748015], [56435605, 84684959], [41693738, 93514999], [78453241, 37743517], [8021068, 37473807], [24992445, 96306546], [60299787, 89329447], [29359500, 45813730], [90742359, 22820160], [98840793, 25553135], [60350310, 21446865], [15586885, 3825484], [5461533, 87781246], [27856978, 39742449], [73439840, 70326358], [87763339, 89825604], [75193739, 73642859], [9664606, 61424330], [44760947, 84689311], [79075022, 20362483], [33830673, 18606764], [45251766, 53946739], [17397924, 94014202], [29154870, 109125], [72826378, 50902734], [56192604, 61716406], [64547360, 10843104], [13389503, 6066464], [68489668, 36947728], [7043927, 38816902], [18050699, 30491658], [21167133, 5202770], [42455824, 16139688], [25717838, 77570164], [21200115, 2625519], [48834020, 46651760], [94086133, 5429850], [41420033, 32418563], [54259433, 98906815], [83036496, 19740175], [94611929, 2321673], [92874380, 10881834], [91891592, 33483880], [28355480, 8353158], [82097608, 4598148], [46544541, 67173682], [40082548, 15850722], [21571447, 93514242], [1525188, 4929308], [25547913, 57415052], [46149783, 21149320], [31777808, 73929271], [17067168, 95465771], [22712129, 52872158], [28062168, 80525543], [82266066, 70317712], [84242157, 43575873], [35188268, 69025946], [17096284, 49174887], [68668779, 13093272], [66295230, 23595531], [66459228, 66807748], [88384784, 38368146], [27008993, 18411328], [26459071, 29288467], [36995419, 53332371], [85581837, 58558432], [38854215, 43912854], [22500477, 6191879], [19782585, 47252897], [86213434, 44335673], [33806973, 93323958], [47629939, 78875442], [41937949, 62209269], [57779750, 94696608], [23378903, 37493334], [53713229, 52121623], [55030978, 14107730], [35261977, 27047844], [28412457, 10988005], [22787472, 60386441], [56752385, 51672199], [91891779, 90903465], [83010769, 64833435], [89131935, 7164749], [55183243, 85075080], [72050308, 79344905], [83034217, 93402004], [41559656, 49416158], [11708983, 69990021], [95036364, 84322442], [71127041, 42912273], [52210910, 41220074], [83192637, 45235238], [63044508, 62666146], [25064145, 16359875], [99783279, 42769114], [91126973, 35613299], [92598918, 52922087], [5943515, 19010053], [41855916, 23318046], [43827205, 65515557], [88529708, 9138590], [28430245, 39626293], [71630260, 71069225], [57890850, 24701787], [61222109, 83817008], [27584509, 81080833], [70367467, 58680579], [81187831, 4625289], [57917492, 38550779], [31221706, 60775990], [10267691, 53530850], [26308662, 90788538], [70100753, 50269574], [52836006, 75158688], [55765567, 87045988], [78931853, 2642340], [93538054, 84445623], [10409766, 53206096], [91756257, 61016652], [54200861, 92633159], [8484166, 65603381], [78846572, 7276983], [39460343, 93525], [10814941, 61927745], [5847880, 67134888], [53691628, 26612453], [25526053, 48344361], [37138591, 12356522], [52156512, 62811833], [81553559, 1254465], [33271415, 59106853], [79660677, 39800937], [57162668, 35198345], [87153856, 36332946], [82824448, 18049880], [57680403, 89452034], [26887819, 5670892], [35146784, 17693499], [66297728, 4855983], [32543452, 20146807], [71417210, 59969496], [14113230, 35119738], [23194674, 81431961], [25388295, 96202736], [65437990, 29145813], [11022816, 91915518], [52526607, 13748897], [89687199, 62194779], [41727615, 81726217], [95284019, 48228252], [23709112, 67947587], [86998858, 63181695], [93049648, 39296253], [31329517, 85961529], [25625136, 23904132], [13968131, 40823902], [90465530, 22691294], [54899162, 57751658], [8548991, 2775239], [12510909, 48400813], [47614828, 86990304], [36619121, 98091015], [36611221, 48166764], [4095829, 54648342], [34994522, 5920836], [44128458, 87112298], [90471537, 39468400], [63003753, 35904541], [25391627, 36341198], [20467259, 54531233], [77079222, 32443850], [17602230, 12845121], [42812121, 76874531], [72311898, 9215507], [51260807, 47801624], [38271085, 55029647], [32466132, 17872858], [31171266, 44233055], [7738340, 24616410], [29523752, 84158921], [35075745, 98349687], [22215022, 54269036], [40238007, 74675584], [3224738, 62516656], [37331043, 29260124], [83228911, 95843574], [54792917, 54756575], [19663302, 92478372], [52558609, 76444441], [31447749, 44917412], [75123566, 37343240], [42776248, 37258733], [23790313, 62584403], [60361745, 82103066], [12848263, 21888143], [18951304, 76005445], [77056461, 10261541], [49139049, 16761693], [98610883, 52440281], [79613963, 6430304], [9251177, 17107951], [88296780, 83579380], [55506449, 90699316], [79776034, 51132006], [42208793, 10330268], [83569260, 95403040], [16680969, 71528802], [81722947, 95154298], [65725757, 97309940], [42733298, 31562031], [16349140, 80265433], [62904681, 49977468], [61150728, 92585546], [39350116, 27008545], [68889504, 79736150], [62984568, 76200598], [81940582, 59842706], [22363152, 27082692], [89526085, 15490644], [83339481, 95264040], [17444953, 96367284], [65649474, 29351477], [94296824, 57931587], [30705917, 38817678], [29897754, 88077696], [26072272, 7632440], [28356106, 50734284], [44921486, 66145656], [65584169, 74129609], [62663929, 37688121], [54859119, 50503034], [71576032, 9648166], [9791827, 70802180], [53477917, 52551480], [21710251, 80086825], [57419731, 9960319], [29477501, 69351984], [91805348, 2082142], [25683434, 95693636], [59815739, 44176478], [26031717, 3674383], [22303177, 82949703], [47195525, 79984632], [18386842, 70513317], [7667954, 70352759], [86922899, 84431503], [57570893, 82369737], [15184583, 15663691], [12630505, 15436686], [91106737, 66543106], [17572264, 69597831], [5895714, 25101603], [76131784, 56690769], [52730571, 16974727], [42870014, 64023741], [88711517, 79885526], [16745153, 25259057], [46001514, 67468035], [79471431, 64114843], [70681774, 19152592], [93284327, 15112269], [80334827, 63186682], [9454610, 85805773], [86059022, 93917223], [52934003, 95372102], [31567749, 410627], [53841443, 32914659], [84594690, 12913758], [82768969, 91538145], [10311473, 87639676], [78228245, 55442754], [58630814, 85390208], [12163852, 50662544], [25368781, 25683666], [95105608, 92731828], [2938336, 65873563], [15765013, 17602414], [53550708, 58994705], [18226658, 80146174], [83942781, 71744466], [77758874, 76795384], [25916668, 70649793], [47248212, 23193392], [94477721, 16601305], [2850250, 40338172], [31039785, 48271803], [12874367, 48634670], [24922830, 67455655], [59208526, 68823220], [91152680, 81663439], [66339794, 64757952], [44668205, 29265186], [192430, 41680448], [60995119, 64143256], [74773263, 57696519], [58398569, 35745942], [53078487, 26742561], [81845896, 25952036], [29884754, 96287747], [40658942, 45115358], [43756015, 88496327], [6064733, 90311856], [8274709, 7856688], [26493783, 15964376], [77790382, 88404864], [56126976, 8865702], [18113242, 94249535], [41077646, 43458318], [87848670, 94200843], [61886121, 3071862], [7017330, 84061619], [69986106, 6590333], [70448712, 76100809], [50276259, 79397868], [4559720, 55360725], [21306244, 73778575], [69692967, 44106974], [21719838, 4549480], [35561679, 73843527], [10578213, 15675864], [82285796, 46531366], [47553638, 52059225], [96562245, 9091097], [33575, 35004394], [28828320, 54906062], [83700905, 50346908], [13778020, 49383429], [39335725, 56096403], [6365549, 52982819], [37437342, 41176476], [18172971, 97673899], [62442119, 64540880], [29776558, 31864165], [13524842, 27268965], [59356518, 35368595], [61097196, 82709567], [38888185, 90782480], [39035565, 34706033], [12930312, 57449718], [55212751, 91302380], [57332580, 86049504], [50599063, 17228432], [42699558, 86492772], [36862245, 78304539], [59469979, 6207087], [4053270, 15655833], [3054599, 65276109], [22160941, 28178995], [53627870, 13664673], [27217812, 26158960], [80578027, 27660294], [3085467, 35154676], [58210817, 50747509], [52469234, 67239650], [72730989, 45554231], [73405048, 37305226], [82375521, 96252675], [66900569, 22354598], [86935748, 6058590], [13437099, 54609146], [97161608, 24477011], [14491990, 97708873], [51536299, 37726613], [13876994, 9503883], [93584877, 58216390], [82962198, 14997561], [91355769, 78530006], [28796267, 20817049], [6586214, 12674371], [29338683, 45489647], [53587295, 36120713], [58855600, 24956177], [74960867, 89067907], [33310549, 8581486], [83584481, 50931181], [55895779, 16134618], [708314, 87204915], [9489182, 74149841], [53693279, 7129744], [10188816, 45758919], [26220325, 82453258], [31097643, 82637786], [3130465, 79570326], [78956536, 12349034], [25127996, 78151340], [12817943, 79955646], [72840476, 98372208], [35644608, 6862921], [88421151, 92589456], [73776148, 55057520], [14053639, 66092463], [59497498, 12481651], [26480079, 28850689], [80415339, 42706072], [27039110, 75963725], [46671281, 14373015], [56813749, 17652772], [86963317, 63108131], [70640164, 72929780], [42337451, 27807], [86465575, 91349533], [38485524, 85784413], [84289710, 8437523], [87385893, 32046604], [64014678, 24589782], [6824571, 46482835], [71951068, 78451880], [70174319, 65748059], [54082344, 87694066], [90845746, 16390732], [14486951, 81899669], [32295807, 18839691], [78841536, 32078972], [50462346, 37242425], [21637898, 60081334], [96172824, 41559970], [85571374, 12759435], [30643479, 44356258], [118210, 47576561], [53061825, 12319005], [15641101, 39700275], [46700912, 60258501], [7350347, 57591502], [14580516, 68734763], [68629271, 27272916], [96427550, 41561752], [89493772, 29392793], [40579062, 96940291], [38442888, 15075566], [65781017, 87067178], [33963465, 46255951], [40793974, 16801634], [49824342, 36896385], [10804629, 80477665], [28089927, 97649736], [11959166, 68302100], [62891879, 19278452], [16757245, 30464510], [99524072, 44832336], [23568404, 82508504], [97850527, 89073277], [34588594, 97333622], [54002180, 19261275], [45609001, 2935829], [39462226, 58140010], [36375054, 44622560], [2049167, 57255172], [58618353, 1380905], [60724479, 14067017], [67365086, 89067436], [29504041, 6051751], [67505273, 15024008], [33556115, 84387488], [30172478, 39428013], [76655756, 46203259], [4876695, 91708335], [39910700, 15161346], [82789806, 68130565], [47324190, 82816360], [75064190, 75662241], [99467753, 912159], [95639082, 56493121], [39915384, 33275344], [75776847, 25817388], [5552098, 25045847], [25474751, 37953223], [51242383, 11412614], [33120805, 18976039], [79394007, 85006297], [26947131, 30582731], [66442880, 41519397], [48472801, 56381037], [55101940, 13414009], [12471357, 51045183], [609800, 39420661], [60489830, 43924506], [52038275, 41974864], [23322576, 68468528], [75039180, 79189496], [29086189, 51023905], [31620835, 13383858], [57776544, 71394547], [65375390, 53557454], [82788627, 86110809], [22635126, 18095062], [15827811, 68171653], [87647797, 49739770], [81234411, 71849909], [71690482, 82271118], [49534036, 30610409], [53416698, 32096828], [46193117, 78272299], [83429826, 8323941], [88036229, 13558099], [86543132, 74842543], [2975135, 40742184], [71295628, 1175350], [14267580, 24823341], [94143446, 38515928], [57200639, 90741918], [22666967, 21823289], [95162349, 62040543], [33307135, 85922528], [68882867, 85666765], [91119689, 8632716], [13562407, 14796471], [75029155, 94210706], [14650826, 28814000], [19479329, 19346611], [23512953, 59374291], [95646145, 30908561], [63798460, 47549380], [64372994, 31159863], [15951723, 23450268], [17123862, 31246597], [61009841, 8397819], [92634895, 67757578], [38208056, 33807478], [8067274, 61844210], [70179593, 48496565], [28364172, 1031480], [61655980, 31973234], [14318303, 5877413], [48728922, 95815172], [42150388, 22130356], [31961946, 28840101], [49970339, 78588305], [37555111, 81560819], [11426349, 65228939], [87130687, 89614266], [65448281, 75676466], [8374096, 25141879], [49051220, 26312999], [5709390, 41165476], [41208382, 10661014], [29897791, 80643345], [23678574, 64814291], [37222256, 65447966], [47404114, 22635748], [5677309, 99356606], [79773637, 10240789], [56377486, 6109470], [89922390, 11767933], [59718746, 95546316], [19574661, 24133934], [10627262, 69536742], [10486176, 92441563], [16379872, 86744112], [28873984, 32252602], [1162735, 14576626], [74231479, 13825662], [28874312, 98929010], [78682865, 3954982], [7708436, 69945523], [85099437, 51174072], [27872117, 92376056], [73443556, 27393304], [77966706, 44165957], [76848175, 55519366], [48071982, 28190149], [16271275, 85715921], [19614939, 80736194], [49506247, 18807704], [52166818, 95864274], [14500846, 84011770], [86428312, 28856665], [2150743, 71415190], [19031858, 2170415], [92465908, 52288986], [45776422, 3502985], [51742790, 72721542], [87090308, 85912647], [66732124, 33540900], [61102155, 84092046], [39838682, 19146078], [54272310, 20399058], [79424487, 69320090], [10488806, 39059606], [28465323, 23041938], [31248882, 31776496], [18827497, 68209085], [80149109, 99893558], [93745291, 11775525], [10209132, 76941275], [70969531, 48646958], [62596649, 20016131], [29027981, 38612181], [13405580, 60718852], [32393920, 28022578], [17246658, 40483069], [1197795, 28595491], [20107122, 47257379], [68091165, 9293155], [61034057, 50519279], [75314114, 21403202], [52724216, 66716257], [71643863, 81203227], [92961532, 90780365], [65647363, 28541375], [97425346, 52159314], [32675180, 70106667], [23060535, 52670110], [85162713, 9866548], [35803784, 4021002], [59820314, 38490674], [24507265, 31414706], [28795704, 74129221], [56460870, 27986357], [72586856, 53725146], [54505651, 13772432], [35306632, 14002491], [18529088, 64281625], [67707400, 14465167], [66385190, 64672057], [33265316, 42573751], [73686895, 77593271], [71307571, 53749175], [6284750, 81656354], [39300084, 85802884], [8651016, 59903575], [85539863, 88215333], [72891427, 97587339], [1167682, 80211316], [10137903, 71389624], [41969067, 45679924], [49118772, 21772146], [83911818, 5875368], [3702304, 59261586], [98360206, 28271132], [18948533, 5887953], [66764638, 8342762], [67724924, 41232354], [28972502, 82065516], [42966590, 62481792], [35537282, 78952965], [46401801, 39693786], [98576753, 25217394], [66759342, 66175619], [26313677, 13288947], [44854673, 68991379], [65518577, 64164976], [3859414, 95579421], [66215689, 8370969], [74487958, 65112095], [4583796, 33910507], [45524108, 19651020], [11469756, 79726457], [88093627, 47351138], [55653586, 9752506], [56412055, 94880134], [46469472, 64472527], [12697122, 73131640], [18184598, 29432066], [73529523, 12191233], [62739722, 13222227], [2755564, 98797551], [46253711, 82954602], [90362234, 6232489], [18234670, 44418024], [45329524, 53773369], [16923839, 57243816], [35282649, 88446772], [72659382, 22863815], [44046804, 39660847], [61313880, 95635643], [88051274, 20279634], [51586525, 84057773], [65848709, 29488721], [50875797, 28458086], [98713748, 64001881], [51693608, 82689569], [15094877, 80080187], [70737224, 37555730], [20093126, 95717644], [72596778, 81656723], [60169812, 42083004], [76229306, 16668466], [16674451, 94081676], [9659014, 60505232], [36752588, 35034655], [9646878, 24226601], [1490995, 86954277], [3510835, 839100], [21801292, 76137124], [85474477, 747533], [61448045, 66386173], [63643752, 16110637], [79893597, 90524448], [72489551, 36831241], [83491658, 80642274], [26974188, 69795982], [95142238, 66191280], [47765977, 41532629], [21148353, 49964199], [1413405, 61667898], [60832993, 12896632], [45470992, 98395015], [93676716, 68985806], [32628809, 90307516], [31842010, 86203824], [66508868, 45381468], [48682281, 54622925], [26263599, 20276027], [85712648, 61673562], [52527387, 89675727], [17747118, 49272086], [18472950, 34675043], [7265827, 32147032], [60685933, 91450010], [19935317, 13017743], [80967082, 10036712], [76672674, 10126925], [21471074, 93371122], [34269897, 10426529], [67748956, 85504054], [55815898, 22695219], [28267780, 17461268], [98392433, 99458198], [40074826, 27074625], [31726619, 27431606], [61606240, 4036755], [10909765, 39514487], [78243127, 94952612], [2813352, 52184697], [65891294, 47435971], [1414647, 4544463], [90034066, 39028209], [59936603, 31437151], [55952990, 80879297], [31067688, 45232603], [63682234, 68629168], [31898532, 20004022], [14587453, 42016373], [7153484, 56559101], [9137244, 44144993], [39678043, 14185456], [32035898, 81976841], [30378188, 82358178], [89967870, 96208586], [97808045, 54595214], [85951663, 99308137], [16769099, 66965614], [38900369, 2518507], [31913706, 53574086], [53127972, 3934726], [17338246, 2783575], [51556830, 8885180], [89498261, 65375392], [90067524, 33760938], [43828831, 89959196], [97954110, 15026270], [8341635, 45790211], [15613030, 70905726], [60035930, 30464429], [5855759, 73654892], [29025376, 41178924], [9662296, 94826486], [62825958, 21858455], [81471662, 26572769], [65723731, 95774851], [10182049, 71019509], [40312856, 80487693], [81279210, 57139946], [35677648, 13679318], [87784982, 27823324], [25899017, 86967664], [33158321, 27227027], [54167182, 37417029], [48406187, 24042767], [15568636, 53326794], [18671718, 41911824], [1145645, 90780199], [57289453, 39593061], [30891557, 29525540], [89774263, 82448981], [87305865, 73929056], [61486297, 74090411], [4084566, 80527044], [36582426, 86502791], [83582878, 55295180], [426959, 44560442], [43872619, 93704470], [91179940, 32286383], [92916247, 63981107], [61824123, 35409948], [69752910, 27346289], [18612208, 8141159], [22511743, 72308150], [74948577, 7188402], [48912783, 96901929], [63426379, 78164654], [9860249, 83070688], [53571171, 54107058], [71210169, 10954924], [73249725, 55926672], [7941182, 64727110], [21188635, 43681118], [2666978, 16156026], [70599710, 45312768], [59203813, 62303067], [36138105, 52673350], [77986784, 1598505], [38328608, 40869238], [16916269, 74155067], [87875691, 17166114], [63115152, 39006698], [33827465, 29565849], [17381126, 57472942], [36924158, 15321228], [40581161, 62068654], [79295732, 83658820], [37422932, 70406290], [23898259, 7526027], [8165349, 72643076], [99793473, 70484488], [79475548, 48035889], [96972722, 16234005], [33174365, 16813910], [76158176, 22103549], [29749095, 10831174], [10702415, 11761360], [30868922, 93634610], [35943182, 38963659], [43171528, 8516649], [84471563, 56353768], [25698936, 78338014], [24842289, 67531984], [44810843, 58303940], [67491984, 82904342], [89172213, 22393050], [43685689, 44137374], [23115833, 24455197], [38199342, 49595838], [57289119, 52314090], [24491814, 89328457], [74046054, 16367465], [34197796, 19101656], [58187793, 79038302], [54835480, 16901716], [6807586, 60709127], [95695237, 79011637], [91409702, 30877841], [69791566, 49717760], [39225975, 43319217], [20962650, 68535461], [30478891, 94247732], [39845566, 14819994], [10543352, 71755216], [29337359, 85037169], [14009968, 47368999], [6775822, 70520956], [75991382, 50989430], [95223870, 97007978], [15249250, 21191974], [8883576, 41435580], [27183567, 85972684], [81325413, 45539191], [19056976, 12428936], [18318181, 82811723], [4874228, 99383933], [40547996, 85388299], [8645401, 90121422], [42273791, 73760827], [45614259, 87690658], [46032446, 16338049], [62733127, 77609022], [56500204, 14615207], [13379174, 35200827], [23317394, 51396055], [31885308, 51553107], [37489355, 90786046], [74094490, 14053828], [55108804, 91372833], [50941131, 27119518], [51240598, 11434580], [43838240, 21481308], [98318773, 1501718], [32451488, 11495405], [36400149, 42366287], [21161670, 44170009], [21333936, 69859667], [49407127, 79851554], [44434737, 45122370], [31877708, 52414565], [40230316, 5789986], [23361634, 15480432], [38904591, 887872], [418194, 64920595], [61552211, 36765437], [53892370, 36098440], [2984064, 17332958], [62494141, 60316723], [27599312, 3774542], [52485219, 20313486], [80627976, 29391186], [78359743, 43484464], [6072279, 97092564], [57997619, 58505285], [57707575, 29270764], [73818233, 53488034], [80183773, 55205545], [90854, 55793852], [1175441, 65970886], [85993123, 2473966], [98652249, 79934555], [50927918, 72364222], [35435001, 81342220], [39614208, 54771865], [42657145, 81660275], [70323925, 35695954], [41855982, 63408442], [86561835, 23796317], [52276147, 47458647], [844417, 8588834], [51797732, 28272559], [30970523, 98318747], [24848169, 50754050], [13941523, 19662699], [90334397, 38496481], [99561419, 63916067], [83885248, 62388649], [19429814, 13529282], [49121474, 6226048], [69987568, 22114136], [14012280, 80263145], [77183596, 53719143], [40354497, 54024638], [49870590, 48491519], [68975860, 53146820], [40931929, 52833829], [3875216, 74849796], [63885709, 29580340], [74170666, 70633876], [70785430, 85205458], [26218868, 56499248], [58187161, 23414786], [53375193, 63145196], [10907601, 42444516], [86767757, 38581039], [65541543, 29121142], [22007206, 44569914], [87208980, 57617529], [40039086, 47806262], [85067253, 26134442], [69276433, 30037728], [87948535, 4313872], [16265590, 97277622], [10418041, 85714845], [24737272, 46589146], [78758518, 91849223], [10539541, 14162168], [32812637, 24124544], [62491726, 19359816], [31667765, 72606938], [39518982, 41859390], [44105888, 3481733], [2838863, 65306686], [43227758, 7534306], [14403533, 37385877], [38922699, 42588259], [90007473, 22067996], [92262838, 87837404], [40324921, 29667085], [67945055, 5566688], [84989239, 78802917], [78212086, 76772555], [15745637, 14654660], [44020008, 5426459], [92769137, 88638788], [3128100, 42920597], [25553459, 32974679], [75760060, 82188112], [53525629, 98869926], [69089789, 69821617], [88570852, 95588923], [32432344, 20429500], [58259975, 98388451], [16616239, 63919380], [67150796, 83253626], [6042108, 71416087], [24685120, 22379613], [35981914, 54267795], [79571503, 92927114], [97575625, 76415883], [27876726, 15731106], [77384727, 94612150], [28796785, 49463642], [73460530, 10451798], [44303681, 49774819], [25706200, 14528100], [64099936, 94367530], [2883069, 15118107], [94160589, 4891459], [54054566, 72355633], [4997645, 42438778], [11221382, 509961], [41284541, 98859655], [14176523, 67710383], [62198287, 13705861], [4746882, 1965036], [2145548, 95936853], [14184476, 54102303], [90842105, 40561305], [85359245, 30426288], [28927481, 31742900], [27976532, 33035046], [8214979, 37362814], [49579015, 82668279], [17643773, 86670509], [77978712, 24145455], [75559704, 9498193], [54194314, 72399518], [62929266, 39792840], [81213559, 17418028], [28064825, 6494037], [92781648, 10975156], [39748948, 48942205], [25637028, 76423013], [93160953, 17788759], [27923851, 43019348], [62502060, 61811242], [37367242, 63521169], [75212641, 30197622], [73120814, 70901315], [21284460, 59027769], [82938896, 98296507], [56556480, 87022044], [83969566, 30425146], [5749095, 18808491], [97723249, 31178257], [79004284, 35931696], [16893601, 5852886], [16903499, 66132875], [62387143, 56637888], [3702657, 39805942], [95441914, 54301834], [56664561, 30953002], [47301021, 8875862], [37609958, 30667795], [97301042, 66590328], [26821986, 12782923], [36961977, 53472807], [19330151, 95573013], [99354747, 81764698], [66659398, 43620074], [28627469, 45356689], [51985701, 66477147], [64148500, 91985836], [39312554, 19858658], [26026171, 26971915], [82765603, 58238291], [86632124, 38611308], [35207999, 86907116], [57431807, 54411453], [98832100, 46631348], [97918273, 41661516], [76531725, 19943667], [63437132, 74610940], [58279593, 3643036], [79080814, 54218600], [44836840, 92986435], [90791285, 87806673], [96284697, 87818078], [6216641, 13544333], [10083978, 88593118], [49426645, 32513718], [95341311, 62276138], [6450007, 87368833], [15963676, 76891336], [70740950, 57731442], [68152968, 68013381], [14643070, 58586719], [82671348, 9729859], [56269583, 77741898], [18653824, 34634700], [32630645, 117589], [32665285, 67751007], [29798548, 14524633], [79828912, 51056910], [38065872, 52865937], [58374043, 62577416], [567995, 7640323], [62848117, 13621462], [93594696, 78580994], [73168678, 42579629], [34307703, 14881639], [44664222, 74959908], [4217648, 69115255], [50830213, 46840572], [2543360, 30323433], [8037361, 7540839], [25189460, 25222178], [39969319, 1244255], [7404737, 90255458], [44314399, 18767377], [27186971, 55636171], [83610776, 6055446], [18868741, 65553894], [51072468, 69912229], [53003273, 77583019], [71272222, 20246008], [70905038, 90384332], [99687478, 29594809], [18951821, 74281173], [18349741, 48357057], [91941043, 42937087], [60035644, 91289934], [48995947, 95214619], [16325446, 25260767], [12055584, 13960156], [7414631, 48415312], [35320506, 52766980], [82090297, 4803690], [22404731, 2734716], [95832041, 35198043], [81578555, 35580557], [69752548, 8481959], [12582771, 33756719], [17173799, 1324284], [76218064, 83509141], [64582644, 5292129], [4563863, 64568496], [99367627, 63471713], [11129632, 36283668], [15441033, 59597985], [77527376, 23678941], [95345987, 29428322], [63934671, 12460892], [84876465, 23483103], [59385089, 92822744], [51552431, 29987572], [72158533, 96750122], [77299430, 35589262], [22000399, 76497101], [75672116, 88275935], [30644735, 5358748], [5414361, 66188656], [53232640, 30086364], [13434157, 60633091], [98705274, 81456340], [76615472, 56334916], [8179201, 20286028], [76782339, 6147742], [45796033, 50080252], [30771774, 83814427], [86775976, 32486309], [92456093, 97231151], [81945763, 43412637], [74099423, 40849181], [16084699, 39219629], [46307262, 42932211], [41569146, 29297839], [67797216, 82380518], [51810747, 82645822], [93885181, 17461542], [91051991, 30502051], [4869098, 56137260], [74473733, 27074808], [20362846, 39958589], [79523161, 22084636], [593843, 79398585], [56274187, 837473], [19424242, 23574075], [12385119, 12725717], [21656643, 22004530], [49467997, 35556266], [69363368, 90044865], [47614663, 42502156], [68240606, 71297860], [85609411, 89567487], [34270228, 30926013], [28176598, 36706452], [27249450, 24190343], [95481418, 10427842], [3268563, 78416144], [98997925, 99173647], [50201592, 86801026], [42627391, 14636491], [24272660, 97241529], [65460218, 13691498], [9616235, 34865149], [77331864, 48644410], [4231296, 69457023], [21019412, 97579786], [1292370, 94948081], [91932334, 52726609], [64012874, 6475021], [80967753, 73647136], [62165448, 4035245], [48764596, 62348538], [16479841, 17971790], [62484080, 90044890], [62951895, 39557804], [44631619, 73584371], [7388359, 57225341], [72074998, 79055231], [31557042, 42164903], [18970358, 17108332], [21315529, 41161640], [61896580, 58658210], [51780257, 87960510], [85160015, 84549751], [53031832, 1775795], [50863312, 78689435], [94513547, 62836432], [16292042, 14071322], [45044433, 84885328], [95573668, 75214524], [67985310, 21647747], [46944985, 81483814], [11823247, 71318389], [96053734, 42291130], [78283145, 51787507], [28243527, 15846585], [72312902, 35361899], [90074153, 24665766], [19041365, 65279865], [81420541, 99810632], [49529050, 83855688], [47660286, 90491071], [81663323, 50071847], [45627084, 62377002], [62631357, 53952611], [29164451, 23915873], [21410022, 27682062], [94045684, 23906402], [7134454, 61497915], [28185310, 54862778], [63783867, 42293863], [71191866, 53976996], [40589861, 65643200], [24230625, 20758230], [99206217, 61931055], [62459952, 61079358], [20793410, 74266692], [47465909, 375481], [27437080, 28293938], [59529863, 17386364], [67732070, 38208622], [43656614, 81415316], [14198805, 6395708], [99634468, 93245554], [80402886, 20186822], [34313067, 1531076], [96319193, 22380260], [62560871, 44286561], [56482772, 76211734], [91933334, 71781523], [16921010, 28499646], [69017958, 71794286], [19651271, 62258299], [17504277, 22196131], [7177788, 61175122], [17870238, 52083487], [71537579, 23324286], [65927392, 4764495], [49037101, 66919067], [28088884, 28242655], [44745446, 41627796], [64401658, 1168994], [61433358, 67173517], [90615737, 90448440], [81927900, 59613330], [38258967, 55786463], [3252532, 68404454], [74358814, 95491788], [41846586, 93034031], [66244308, 54459806], [48535632, 96359127], [753289, 22318095], [34242489, 15317911], [98386762, 81060542], [71195430, 46210150], [46234823, 89770534], [19279040, 72942510], [43751207, 37454126], [89333078, 42907590], [53861422, 51961623], [49516464, 82418817], [16657612, 18686281], [22015719, 54312526], [97377905, 35239861], [83249871, 59612018], [29496925, 1116866], [89286139, 37536498], [73859859, 94189857], [42707096, 86163070], [15787164, 29029194], [99330598, 33983029], [87741323, 27849141], [764163, 40837295], [56730046, 161811], [61728685, 9893122], [79808304, 76725892], [81024477, 11568227], [87860159, 96999971], [96344967, 23824341], [91693423, 99497862], [96706606, 96118264], [60967464, 42518398], [26517676, 65836270], [57667966, 73006524], [13521946, 11730568], [47265655, 99058241], [63121087, 18147617], [41730807, 94491021], [20323474, 92541761], [80044612, 5470331], [51961199, 34472709], [80624379, 35863170], [51498858, 75995207], [45479134, 12328746], [12757196, 93975995], [26182741, 42758064], [58746142, 84020737], [15742215, 31912782], [51310846, 5260049], [7597949, 88914257], [14776281, 84807343], [56865287, 32013038], [13018556, 93071382], [40222494, 26879988], [34147560, 85147355], [87605738, 98935402], [14981673, 71328806], [25790168, 59832672], [60196551, 76627352], [33535463, 79410010], [71695223, 86827126], [1522145, 76065591], [21981293, 24944409], [62544255, 18810990], [50213492, 16899194], [15796212, 90085534], [10083805, 48046565], [90309569, 73701607], [29976293, 19371795], [18644228, 91768253], [48276008, 29471710], [25141780, 43241488], [35447691, 60611203], [78713365, 18931430], [13986180, 60331686], [95920009, 41868537], [1118535, 70626536], [85583712, 74164116], [79433397, 72356320], [83788413, 9957438], [76058435, 72665395], [96513196, 9796919], [65456147, 33581433], [50033623, 87074317], [37571633, 83030891], [36819641, 3837974], [75559328, 55190883], [43188361, 68064180], [14056537, 61635004], [76369840, 61952387], [72311269, 26080941], [54478116, 74686269], [12805836, 25380555], [12680237, 16127214], [93972290, 2551071], [48557868, 86911861], [76704653, 32575231], [85872070, 49445150], [13750092, 74155079], [56828050, 79666148], [38596591, 15164678], [34750227, 43121732], [58844634, 23269550], [50706743, 56387904], [5964876, 42448041], [13616278, 50446129], [65769085, 95458126], [73314733, 50406908], [54823845, 68544558], [39149961, 48680262], [27881045, 87201161], [15430388, 8806388], [22292235, 32392982], [92199417, 60331279], [21000989, 986055], [42954892, 15231240], [29851183, 6587456], [19679045, 7381941], [96124729, 82016071], [10746383, 74525516], [60946665, 20532930], [31973347, 3839741], [95244804, 88427091], [92856923, 68358804], [13246511, 37364948], [24639332, 65597710], [97277445, 88640403], [46891199, 77819304], [94897942, 68010807], [78606666, 53966481], [10289050, 2585220], [26300529, 45232432], [51198238, 66809187], [21215639, 91154067], [26242058, 74651885], [17721796, 31432124], [55289410, 27846852], [79379025, 88025449], [65441586, 55035332], [60096829, 5547853], [87742799, 14461784], [84407918, 70081800], [97346037, 88150252], [14287449, 30498656], [8548841, 9387488], [49508577, 76647294], [20933213, 28248421], [78974741, 86234680], [79159620, 36535267], [6537823, 1266116], [5807024, 82828339], [28034005, 5091324], [49686667, 64189998], [28532441, 32474635], [66477166, 31839575], [99315656, 30379542], [8943977, 9496609], [65208896, 17088303], [23966542, 70539623], [76888749, 54734099], [695798, 46802604], [50509151, 42791279], [4148542, 54884098], [58984297, 32066059], [53165906, 27732806], [52735465, 73434639], [7793112, 85560912], [15708122, 5756716], [82944934, 17338833], [40939652, 29898647], [29458867, 97146541], [97812380, 32448058], [23792113, 61305965], [20888925, 51322862], [21672329, 80115913], [71104542, 76999721], [76871080, 94691932], [19945221, 40213001], [81325904, 45321748], [51515068, 20184249], [4697172, 57890438], [68664970, 12372972], [42322865, 67701089], [2070230, 12938251], [36360253, 19255538], [15730773, 43057174], [65168318, 85708396], [22096197, 52725843], [965337, 8116173], [41022700, 49139248], [73453331, 38162366], [63654125, 37702610], [10720767, 6356236], [66004479, 45873788], [24879732, 67504280], [30881913, 38051984], [68997880, 6530977], [10536517, 84709352], [92420860, 22513531], [77468052, 4545717], [66943433, 48828794], [31366908, 99258423], [41817685, 36966259], [67592243, 12028227], [37253192, 29602695], [67549441, 51306236], [28390207, 40236902], [37061273, 28341345], [55867142, 86404614], [50594992, 95451152], [96471196, 25739597], [6254626, 87657164], [2492256, 15148918], [79754185, 83813199], [90504319, 21451832], [36945887, 5048425], [89186907, 6262994], [98046238, 13440249], [81221269, 73343873], [53938046, 42550203], [64563267, 32065873], [16736531, 45388731], [55834928, 20787975], [4435964, 74477703], [88724641, 48589300], [4263947, 19980344], [59739949, 46108135], [82465720, 27102588], [97111809, 46330746], [80476972, 39187129], [87294135, 15605361], [80284760, 30447969], [56454729, 99996494], [56185415, 43332165], [57125808, 13710327], [45850836, 4396032], [49995288, 25679992], [74767881, 86553592], [73246360, 74251033], [16234805, 97314136], [97834687, 62797655], [72047410, 68779686], [89866160, 59487053], [2350777, 95132663], [71229488, 14072622], [32032298, 68525113], [74683539, 35855505], [43104293, 45667499], [61888357, 28987086], [81255580, 75278002], [40354123, 73741570], [53784682, 19067480], [44853957, 9053674], [73293520, 49530164], [69617823, 16181511], [82885293, 16183525], [71411758, 64942003], [96837496, 75902298], [44850809, 71664650], [75616306, 84824903], [6281286, 50670407], [7841838, 63271729], [3546884, 78456155], [41853869, 9859744], [18100778, 9147871], [86869671, 35983405], [48307092, 77537026], [69229703, 54702147], [32166326, 78590677], [63353527, 37647618], [2785959, 6054392], [16841204, 86143174], [27884988, 41930742], [91592814, 84105435], [22780523, 21034803], [20648977, 56806980], [49988069, 39212223], [44615097, 19864691], [51156702, 72799685], [65244874, 30250672], [8201355, 5714370], [86631080, 8298586], [13379575, 73681392], [89549593, 99614678], [89304813, 97728608], [6360431, 53385673], [24839145, 75127920], [75125002, 34774546], [37690615, 94033407], [74376655, 77505715], [72188556, 67953521], [77717041, 78911028], [84991624, 79442674], [55053051, 22474095], [6790126, 42269268], [21170573, 80127276], [58197418, 4049540], [39718322, 6812509], [3535894, 61484381], [51495972, 47813807], [46505318, 36666469], [31888411, 59082355], [22683561, 75270678], [89946664, 51135052], [78973467, 30755094], [9367354, 46626778], [73027719, 14047363], [64269839, 92042774], [9166568, 89671340], [54169658, 53489958], [9693770, 32492877], [79992142, 38171743], [60586490, 1633772], [96485827, 30235228], [73576899, 29630391], [85976834, 68087411], [67746684, 27093204], [2382548, 65157289], [77681237, 92921902], [73652976, 5888911], [10416903, 95942059], [28034306, 44896398], [91637384, 92277137], [41543502, 69585390], [77528834, 5175395], [5754803, 90010725], [30658679, 15285275], [12074955, 48883090], [19308407, 95501855], [34498796, 84994414], [10175350, 66264613], [66528408, 89762269], [28507450, 5085412], [63966937, 88827060], [32559134, 25208357], [25147820, 31349417], [81314222, 88269887], [66432888, 91927126], [14724058, 45319977], [66862998, 21298632], [41522439, 8639409], [68189669, 3934705], [30149109, 92520212], [39597824, 69289420], [86860435, 6785977], [89381204, 137627], [57428414, 76955644], [85740566, 93388889], [48681590, 72151291], [3460708, 66099976], [38132589, 93097019], [54435859, 56954939], [43056029, 21793435], [27400103, 71687029], [28329304, 33225897], [91951384, 67644557], [47875124, 36131893], [7803370, 11036106], [4416635, 43491079], [5506317, 80060078], [57537415, 91589106], [59692688, 60077658], [62909768, 82139412], [80393488, 12887216], [51897416, 41820], [15718147, 65718370], [49477910, 1962720], [71197413, 63031943], [83769107, 93475923], [60790560, 52069841], [83605860, 11551870], [46540118, 19478601], [15295723, 52668344], [40702566, 73618763], [50265455, 36370160], [32427350, 72738731], [32911857, 23838202], [94292793, 22298424], [50791955, 80104348], [95871770, 81839942], [2123167, 67276100], [80980298, 51017727], [38656337, 39684721], [44595265, 92000786], [1786969, 81415641], [15540643, 67053777], [68668802, 24527988], [63860945, 56031964], [4535410, 14303114], [31347287, 92961572], [45740331, 65583448], [70370088, 17401011], [61388166, 97056444], [92331539, 25590052], [72730605, 75714216], [40489875, 27223151], [88765487, 37834282], [71547937, 58855880], [42770308, 17560847], [62523832, 7011341], [14106601, 64300786], [57162888, 4322081], [47958514, 43785121], [15640904, 3099712], [50482184, 77236170], [54422659, 98260572], [94792368, 41896229], [83860420, 44745000], [89452509, 96856841], [68612874, 59409146], [4149558, 11310006], [38270687, 12990966], [57982838, 97848663], [29457543, 10134994], [56328785, 73040101], [63345222, 42167473], [40140173, 77156104], [47595561, 51063050], [65875681, 10089580], [71321982, 21228332], [1727986, 10046965], [93782214, 12982791], [85285194, 69499091], [50811028, 12245276], [41566824, 47215079], [80308976, 28831393], [63559941, 9313319], [15711694, 70062162], [96723435, 84063461], [22468514, 68198657], [31928485, 77030563], [94451896, 26471824], [17042630, 20185681], [23344340, 62711553], [97802960, 68418760], [91057350, 85480167], [55959306, 44904226], [60856594, 43165111], [93278934, 82716870], [70554312, 92065740], [95578502, 25195583], [22003436, 80205068], [86940305, 78047684], [82306021, 81428813], [32312219, 20456530], [87182296, 3488935], [79997132, 47746453], [8626205, 33882613], [48150855, 74164576], [23801460, 58072708], [45242003, 87863405], [77821962, 75395370], [90785397, 27425661], [83702560, 2900892], [95750129, 11310287], [27149150, 32523403], [22184861, 86225969], [99684354, 84759310], [92797256, 83666674], [60705235, 37227290], [13664685, 6101149], [99045990, 14367739], [21676839, 13027406], [42992348, 55338484], [78177434, 38457938], [23259487, 17199162], [18970381, 95797452], [84263079, 68573777], [55258328, 20860596], [70313005, 78049928], [98427755, 25787437], [92303921, 92092460], [30157733, 24693787], [84699831, 92073122], [44103555, 12367825], [41061419, 19710815], [94837903, 49483356], [32028193, 71543551], [10602451, 29994358], [73311966, 22348481], [84149293, 8943391], [57341682, 48654651], [45390369, 43100032], [39298808, 59754873], [78425776, 35970061], [17866621, 73112748], [26347520, 29497395], [90043959, 86235568], [8378791, 77728353], [62306515, 63471737], [40983921, 4090388], [230286, 12248427], [5365321, 82472144], [14316249, 4377106], [45301080, 50430446], [26931912, 38907111], [78730803, 69714674], [10256894, 62946933], [36110279, 65375292], [98212216, 65058412], [70367012, 41816682], [51331443, 31404198], [76462277, 67722584], [70232876, 50192713], [88302772, 44372965], [91735834, 71693747], [76303965, 46400281], [22178469, 24501168], [29419762, 7571765], [84579752, 17951908], [25838780, 50487687], [82088045, 84280265], [73042292, 92447032], [44143865, 20446395], [41679138, 25256475], [72946763, 86299545], [86788107, 31755474], [41098757, 87901405], [73304748, 82161137], [36559433, 17722379], [82460691, 30779229], [77220976, 5077808], [21060908, 85750082], [61428525, 36431696], [3748595, 36064452], [17350568, 11026785], [24742050, 45103544], [21013217, 51816268], [52617368, 97799590], [20250493, 68161011], [53510582, 34179127], [50026184, 70090908], [56687981, 70473563], [62381312, 12358437], [25219641, 84874130], [75211380, 87365669], [59867515, 85554528], [43587342, 65120858], [84077475, 65908998], [11860835, 91939433], [81216613, 47656117], [39594153, 99445666], [4900817, 21065370], [8024176, 83919477], [38104265, 69503329], [93386008, 86326377], [37508698, 54885199], [20678178, 35874838], [5398012, 27918325], [40893728, 71450823], [41916774, 75078204], [98895014, 99421303], [48867719, 36804158], [31426293, 8300287], [1544096, 39344982], [56462107, 57627561], [55672859, 63188127], [4132563, 205097], [17003266, 60913753], [21765929, 2068596], [26715331, 44980102], [38680024, 86307743], [81458985, 79419408], [679249, 72443304], [82885045, 47524731], [27657305, 75118406], [22881129, 16355270], [45492271, 68407770], [69102664, 5315365], [94680652, 44295935], [99944539, 86872440], [24877905, 94688869], [28613276, 69683736], [34447114, 51377523], [23555243, 60684375], [86232023, 12634445], [65761133, 23661780], [84331243, 33681932], [99515682, 97814494], [21344085, 88981345], [25763490, 78040903], [85262720, 81227848], [10511024, 52704580], [55182322, 22945167], [25910160, 13120149], [38821849, 30696196], [75726405, 94304971], [30147859, 70669018], [10901402, 70451478], [39328377, 5902231], [7688418, 4632356], [71257693, 34628596], [66998902, 9025949], [91045733, 37489085], [33297934, 78712395], [87079082, 40477288], [39313833, 37174533], [14288271, 84967888], [52441810, 99873058], [16874351, 55691700], [6199548, 15974271], [42876511, 30701097], [40061683, 8522120], [69971963, 72561765], [92590154, 85266183], [88861451, 84833980], [157791, 31846690], [88334619, 30339613], [87429558, 58955978], [33871650, 91959403], [41931570, 36370903], [12061435, 25807357], [89382461, 75805054], [16246615, 32493129], [58076285, 81433799], [34676234, 40994649], [26804112, 37510148], [55930691, 89945938], [46051094, 51611487], [51640518, 59631402], [69468327, 90173410], [75738434, 50096073], [33356858, 12862912], [70930730, 53753514], [58937060, 60985539], [52740359, 75789332], [72015168, 46764838], [66198860, 66448917], [80666528, 63102388], [98008518, 81761615], [35232514, 48944330], [45383690, 90977527], [41042151, 88869083], [71846799, 89340920], [61139720, 75028767], [51324916, 25753501], [36572609, 37562941], [40285513, 90721446], [3812120, 44661751], [10305580, 45216495], [25527149, 93690158], [74730871, 14607752], [43134426, 29484554], [5061672, 72367308], [93647151, 39581628], [34536409, 99690342], [70502423, 82007265], [73973541, 630260], [87987604, 75207464], [5072003, 73640188], [81515409, 74406868], [65798877, 24670068], [6201883, 50688478], [35124627, 89933500], [66405980, 31469937], [6250367, 41343628], [68902394, 17763753], [86350493, 18108153], [58465463, 8478918], [2900218, 38599896], [83494520, 13355757], [33573710, 57512889], [34515922, 1805840], [97993335, 6546504], [89300427, 89674260], [69602516, 33391061], [92539073, 36512183], [83000382, 54780345], [39401591, 74305118], [89271948, 27451418], [34664276, 23343004], [27062916, 34372121], [23294416, 66208628], [76745455, 61812930], [42104132, 26730851], [92802472, 24938308], [2456855, 64802165], [36376647, 98752660], [40541916, 34743616], [50440462, 26049491], [62772186, 59597536], [98092269, 54487633], [92378749, 12733256], [24871803, 30330009], [92052390, 79992232], [81010124, 77183022], [38053726, 43746994], [39093072, 64417879], [94537534, 89058942], [10618404, 53632820], [48999115, 90491765], [8820373, 72310241], [90341365, 1303624], [76104435, 36554134], [88538519, 89245584], [88216112, 64920441], [66012606, 41597514], [95052418, 15704004], [24888176, 27091941], [44425882, 90247110], [38475314, 6243553], [81633775, 47250812], [20786578, 34887834], [47019124, 11984506], [79307173, 46666096], [60324572, 20199998], [47745827, 63305290], [65360303, 53995104], [18252258, 26940793], [22590417, 88018622], [35877284, 57983129], [63538156, 30012144], [24664766, 79848484], [1558058, 80414468], [6865802, 74404771], [25001803, 31610770], [65792182, 43834278], [43748256, 89498201], [21873699, 42056801], [97639, 62384793], [97787216, 85429336], [35910504, 9018321], [11812799, 19672667], [29886172, 66175347], [30016970, 40738895], [74481918, 84963792], [53066850, 36149084], [89399410, 10027875], [71918681, 80369902], [69022492, 42955210], [90314885, 53345294], [54276521, 29904702], [32287718, 72668161], [67092899, 65935606], [1057295, 37565888], [71657776, 80857436], [66434938, 64584657], [14829081, 26552118], [59488301, 2802435], [21974825, 33063335], [96053614, 96514335], [44338325, 7326044], [99857679, 52331646], [35965195, 21175573], [8874988, 46480], [3735307, 26154200], [44383822, 30209298], [23230383, 36518153], [34775539, 19875663], [1044860, 23667863], [59860313, 51096464], [98956832, 7866348], [76260962, 29882689], [70471334, 95137351], [95864520, 60333007], [16519422, 34275754], [17768663, 81370101], [12831905, 44681471], [49538873, 72263487], [75467638, 96244758], [20276425, 13181909], [61346450, 61891374], [98320933, 33352107], [73155196, 12563525], [69082197, 31266822], [92372565, 2359379], [41473615, 14192573], [20117920, 93589355], [81377469, 30693559], [5184122, 33205260], [35029836, 72933444], [19461127, 56249277], [9760398, 83825375], [5543883, 64943960], [621756, 97150183], [81120221, 59144694], [52505328, 74911769], [90553949, 82214214], [95788940, 52197654], [51759678, 38378871], [15552786, 60201484], [27066361, 24291075], [20445852, 67463729], [99774289, 94465287], [93958230, 54256593], [63694544, 16462099], [70520144, 94845203], [91907796, 95613637], [48310733, 924189], [77797813, 66295751], [10349200, 20606985], [40249632, 20948641], [97217297, 90093675], [72892554, 69040067], [41419647, 90517633], [97256268, 7335839], [81174388, 89132294], [36972146, 25722035], [17180345, 68611272], [33986507, 42250205], [65056722, 31005665], [83423771, 20567479], [72488700, 81573796], [835572, 69376416], [90084400, 68077815], [52032167, 6244601], [62381207, 18297274], [90587103, 70702923], [66941941, 34982543], [79329514, 63075425], [10424628, 27019843], [16400511, 21664536], [49445347, 86565394], [96754348, 95411828], [56227259, 16770184], [3546035, 58547050], [85172908, 9355197], [43489252, 33417970], [14161609, 90623264], [80116257, 71658060], [19679655, 30909592], [89369855, 25598063], [90193226, 23236874], [38424751, 19172752], [44426037, 90085369], [99118009, 25443995], [15794382, 8971518], [8231202, 98545899], [38280502, 78661238], [61562064, 48144485], [36666205, 91665200], [51417374, 76070048], [67296734, 1656664], [19940004, 55222963], [58042688, 83342652], [13581779, 76049650], [43384707, 41736887], [41317792, 94799191], [79445323, 41004375], [6249599, 82226385], [67029603, 85365844], [98048684, 75545157], [31756449, 37151913], [52629358, 30246368], [36165966, 23694980], [85904440, 15303613], [58552345, 78961987], [96501866, 43273006], [91255533, 62049759], [63115683, 96149286], [69718800, 33606714], [14445046, 34069577], [30831749, 66022720], [92269410, 72485839], [5254530, 74231163], [75050298, 68672365], [29002677, 83607152], [37994407, 72911750], [56527429, 18832421], [62037635, 22503523], [65613103, 75189038], [95318221, 94204001], [45884322, 40249472], [71889003, 93326225], [33802091, 14043959], [25587568, 47772017], [45127736, 7150189], [41849469, 41900658], [69227174, 6521922], [53486584, 29851982], [96623511, 89904276], [37820610, 43085461], [10466045, 62957114], [9783368, 61562905], [76368772, 19674655], [59097686, 23568105], [59853519, 53457813], [5812074, 66798690], [57482198, 48006711], [94389337, 71475455], [54162345, 24254729], [94493542, 38231186], [86092678, 52222164], [67756788, 38191022], [11341454, 81308277], [32066107, 44699479], [53346591, 63973518], [79234210, 29809037], [12147559, 58053636], [97941661, 44823774], [87969752, 48090842], [48188594, 88983541], [57052402, 64696910], [70313261, 48727434], [80194247, 24530787], [92826953, 43067563], [42045863, 45198396], [13933244, 12854805], [96312252, 14286521], [61698071, 80585659], [92839592, 66122351], [62152818, 43409854], [83474161, 80099683], [48520844, 14239255], [54672835, 79005286], [64349489, 12365283], [91715515, 59867744], [14903789, 3862154], [43534161, 70598137], [54194767, 21260542], [42349823, 21939385], [70185512, 64677409], [20417293, 68311348], [39186334, 18485797], [28972598, 35370815], [11934678, 19783957], [49451722, 60096467], [28913454, 81954221], [86171788, 9191578], [38150543, 28841847], [94649435, 5537865], [10558472, 42950895], [49217294, 1019319], [85945325, 38833054], [95279419, 17766759], [15841026, 44528542], [31893150, 38347599], [59057177, 25972636], [79660736, 19846167], [4876964, 80169534], [4388480, 61433583], [24881568, 46020723], [36557446, 76624718], [14127446, 22492538], [22157909, 2301329], [81703882, 17977028], [23231848, 25491741], [85814360, 84065895], [19953928, 19672520], [59848703, 10446599], [5883603, 14193382], [15722304, 44972269], [60626989, 38554856], [70187391, 25835071], [27354119, 82108295], [12381135, 96204251], [36071886, 75288479], [48340934, 17177746], [66023657, 78025721], [42690947, 48979843], [61678076, 47267288], [86091004, 32276389], [81079340, 57098426], [11816340, 54488355], [40991722, 81793513], [69509978, 81893405], [67014881, 64911097], [47122717, 37037625], [90199781, 18519252], [28675488, 31299691], [31277818, 79880679], [44546950, 6096752], [74780589, 99704270], [54285122, 31052755], [27542906, 24809331], [7009344, 12178879], [14603441, 68346691], [73380964, 35558448], [73138148, 34732244], [95578746, 95173455], [58806597, 75684947], [83060086, 30076232], [98725566, 31650057], [42375155, 48128348], [61194324, 97833327], [4527683, 30013112], [32746416, 29573771], [56423402, 80220227], [97817669, 65434294], [15044136, 92629014], [62188261, 90374328], [92519582, 61168626], [53609765, 38832928], [48885886, 72041298], [99596223, 45467632], [38121724, 42733805], [99258096, 39527656], [48597625, 39550188], [2968333, 72559150], [69599293, 8051814], [2415801, 87287737], [28640419, 19737984], [10748198, 90268653], [91312792, 80740278], [54574278, 99274513], [44017766, 78743513], [42479921, 71950289], [90433704, 52690457], [58860894, 92323010], [93443754, 19023966], [59773278, 75140908], [90345186, 75188904], [30789447, 38747751], [1931834, 60665630], [91339123, 47859813], [11291921, 22272739], [10784747, 2242577], [44472022, 82484467], [84860625, 6160640], [75532181, 36587545], [6862649, 95644387], [56111424, 69511063], [64441457, 64177621], [23687480, 78796349], [7464304, 51318033], [67250482, 23038150], [69832555, 27420097], [10444233, 58682349], [75798341, 67662207], [70144909, 39647926], [22522965, 47506858], [59043985, 17738347], [34622754, 31420431], [26349016, 5739850], [9336599, 67558554], [96796954, 10842800], [4410519, 29068228], [44962865, 250636], [39857325, 68921118], [55209050, 38180735], [86062677, 57047815], [61256711, 26509386], [53291248, 30847640], [86848700, 43213949], [71246269, 54128684], [16816523, 36763109], [24453880, 65236517], [58754465, 52925195], [43263561, 35551453], [79639708, 52746469], [59945406, 70841312], [73381652, 19091431], [52600816, 48113078], [40156698, 47390458], [75373288, 47123564], [65942315, 48552938], [31455382, 52869660], [61425259, 23354959], [44069736, 49188941], [93064212, 52275560], [14352753, 80804083], [24468625, 72469331], [22225521, 78959958], [30946789, 92407246], [46183986, 51020384], [26291902, 52391368], [83225206, 55006655], [77798547, 83735814], [48887697, 59239520], [88810085, 2734780], [68361478, 94708672], [62692212, 43959676], [32667141, 16412062], [12327793, 47747549], [49365128, 2775624], [54185181, 81375694], [88083503, 53958362], [72314660, 5460947], [59460577, 12710019], [13893490, 96403308], [39724210, 71711506], [85138122, 57735017], [25372817, 65752026], [64846757, 12952565], [72745924, 50487715], [18666899, 75488215], [84233593, 89710513], [13461796, 92903145], [57686301, 84491827], [25093342, 39552457], [79989352, 59814650], [94498061, 49747686], [73246666, 47173655], [49296488, 60954299], [81087997, 92128737], [18182824, 51316650], [27084047, 47755482], [99499433, 68912014], [61445422, 1821757], [88254529, 93681353], [97439034, 9080138], [63423749, 61966361], [44789960, 77944404], [47490211, 54659540], [91010573, 89054307], [17927375, 60350025], [17782077, 40545157], [63117295, 37128367], [4297274, 47702358], [44225457, 9237052], [56107237, 2243001], [96186764, 55297486], [88214220, 29556513], [98744642, 85634758], [28006258, 94765966], [10698176, 18546090], [21783799, 11922697], [30297567, 28789990], [34103421, 41730155], [81457026, 71000193], [56613425, 80187607], [45669970, 12492207], [81251225, 55545836], [56510538, 91595850], [67740822, 30673368], [32729702, 66658432], [30141037, 74950928], [31614778, 52287483], [9494268, 62200901], [40825572, 96401400], [15206540, 30762297], [2280421, 70604737], [14234538, 95161133], [21767407, 67144050], [27975347, 69248291], [64042059, 25938736], [2208148, 59077994], [6901783, 23279144], [9123814, 87932252], [13126014, 7594081], [96893302, 15014582], [67213196, 94803322], [68149518, 25864815], [1077574, 43572263], [14736461, 5864852], [20712304, 36050050], [8327197, 63244051], [98082517, 20658078], [57078444, 81502536], [6209035, 99659382], [10797124, 7387116], [42470576, 96703387], [36814408, 29499761], [50248918, 22345298], [53012501, 53037418], [77392465, 35743005], [3957165, 24834736], [25050196, 87718123], [24428070, 86050894], [20779791, 1744474], [63087090, 97950254], [63454789, 76593663], [9523384, 6300348], [80167185, 22883929], [67504105, 93341535], [14625193, 50776093], [94116364, 51465288], [22349626, 93363706], [97094979, 89742218], [97075940, 47212143], [69866258, 92801215], [138860, 10937301], [98178568, 36903957], [39568571, 19634179], [95236586, 40694782], [72487989, 48856349], [22328476, 86944643], [83477386, 63359387], [87093055, 24472086], [28239999, 38196740], [11869809, 83400718], [94790058, 56381584], [77965656, 56704067], [15153167, 25001135], [82417435, 40737961], [5523320, 12399188], [81675373, 72415999], [88247970, 47101505], [36957573, 49801166], [76020219, 36293318], [99443879, 62931282], [47517612, 15652930], [53252650, 47074002], [29216858, 35046924], [71350503, 9657734], [66001003, 56963796], [79581010, 96933174], [17096520, 4048217], [86694355, 68393077], [24922587, 81346816], [2582129, 8032293], [64425202, 37003165], [3982888, 36780735], [56185809, 1916637], [67166314, 46740316], [26527958, 84655363], [72615493, 36325556], [23568723, 84719094], [64738006, 5986674], [63938264, 9906018], [19894237, 71289261], [94593606, 37222551], [6275179, 83018303], [87453518, 36879226], [56495888, 52048165], [33592655, 28669268], [9434490, 85913738], [39548099, 79766287], [85307641, 5539069], [68058141, 89102235], [59568891, 55025278], [83126266, 31525189], [26075755, 11885676], [42074381, 83960661], [35326265, 28617860], [61205578, 7310333], [87787956, 42749999], [32563072, 4426601], [26984587, 47249139], [73207855, 80091012], [96525905, 64927291], [80713858, 53690445], [91445557, 34605468], [96843573, 37829834], [47675840, 46700272], [34660029, 78511063], [49875352, 80247220], [67987069, 78119859], [74786659, 82857505], [224755, 49849352], [89632316, 93728837], [18992617, 62698651], [90115423, 82731948], [47536709, 9375624], [81371836, 11553194], [76350605, 23421876], [49738879, 90109526], [48177453, 53629380], [32412546, 22008393], [2419518, 72712292], [17359622, 60363432], [58046598, 72301663], [68007827, 27922734], [45371031, 41015902], [85269935, 38755902], [24999967, 16183330], [54408097, 5038096], [6057171, 16632711], [46278582, 8463147], [57994011, 83198654], [55673541, 49127947], [31177399, 12438257], [36770316, 46902309], [29401658, 40967716], [94890470, 72733023], [15279150, 32589552], [21171836, 43110872], [46131589, 94428538], [12135066, 45449518], [10266553, 867937], [72902943, 27546511], [80286877, 42611199], [90329678, 97567929], [98599576, 33097127], [66882208, 35636989], [59901826, 35466316], [93370267, 45143918], [22419603, 41703360], [76800653, 80827133], [5903020, 44635287], [33368557, 18159756], [7113649, 36629422], [51809623, 49056519], [35834287, 77485038], [83254967, 61920458], [28497858, 13271901], [16617052, 4314303], [47879724, 34175893], [94716110, 70499425], [84542486, 66008993], [1345740, 39748310], [87165835, 54986725], [53601146, 71815331], [30318021, 13401276], [87075612, 80236894], [30430842, 37147999], [89059968, 86059789], [78352320, 45843573], [87672874, 9651610], [57065844, 50971448], [27850019, 38635211], [13493319, 88028347], [94628592, 57694271], [36228852, 66576377], [14970518, 47277820], [31797077, 42238859], [82565932, 64529541], [53871985, 18091641], [69936321, 36209745], [93805365, 2217321], [16914515, 18154959], [87291275, 13507630], [73068131, 35862598], [72278737, 54359515], [85437306, 17542725], [55715717, 14986009], [26425853, 71462188], [46886783, 5263896], [50618446, 91413930], [3679405, 44000349], [57245618, 78455036], [20882031, 31637028], [40007341, 41514245], [18876865, 63668373], [37594335, 47088850], [4019742, 45680184], [17395566, 40772456], [81779642, 5735784], [24948727, 21281636], [43424077, 60453390], [95758586, 15828642], [89142005, 39593204], [30537723, 88310932], [78365122, 95311757], [7756168, 12533427], [94534220, 31479820], [49883419, 80707479], [4055443, 93865622], [84450416, 11085096], [58073717, 59458140], [35371266, 45257545], [14058441, 32405876], [56508420, 38380802], [68841491, 24002087], [71986200, 38195659], [2157448, 9293921], [50364064, 31815342], [70242211, 53910146], [57726258, 29502080], [26627899, 10438788], [69072201, 85442183], [79423345, 58148165], [11275582, 31635111], [68763896, 53551646], [96063107, 55692240], [63497724, 30822926], [91096008, 82111043], [34301029, 57891050], [32308544, 25255557], [78985566, 13688187], [79972244, 96527500], [74120810, 17604267], [3135406, 80792061], [5802073, 41658676], [44519930, 67683411], [93108511, 55916487], [22255485, 24403443], [64064576, 87458815], [33649537, 10335715], [41117941, 45990143], [61743378, 99932524], [31285036, 16559], [9034964, 20510262], [39138848, 72791376], [61786731, 22843827], [8978856, 83676929], [79768766, 82247266], [9884209, 11475503], [22708356, 71083908], [4490462, 12781785], [28075572, 20388200], [74007884, 51685096], [74850271, 70812157], [40091868, 53647926], [87544719, 87360072], [76132297, 12918915], [2157378, 80683749], [7467119, 35412674], [89073847, 70929980], [86758334, 64028642], [58216116, 51329879], [25189850, 62475554], [22138631, 68601044], [63016922, 711062], [85453470, 62008315], [72395835, 84011741], [38118205, 91606851], [40693943, 15550671], [34857236, 33821692], [6577382, 46206259], [11534786, 84467341], [30538680, 23416288], [66832299, 51779838], [19184045, 68331834], [74952477, 22639143], [66176928, 17345397], [14022098, 18816650], [61146196, 68524182], [18500432, 34904058], [78452278, 4378853], [77913789, 49686394], [40321841, 57056836], [67663320, 37017248], [81099783, 34288516], [80514648, 46249879], [53015588, 68520908], [96595973, 61404165], [66304788, 55430271], [283921, 86972502], [19590226, 32687746], [78892114, 79105978], [7230649, 10929151], [72942344, 62910375], [86497540, 51000540], [67495598, 38370243], [64579891, 43142891], [46589498, 79705269], [26844528, 6215399], [22697599, 63300753], [33561848, 15879096], [51681410, 91645437], [45343570, 95729055], [73594616, 30651674], [58399321, 67550211], [61032318, 49694193], [244399, 87131943], [44830114, 70611360], [55538857, 71485843], [67455364, 44748266], [28626361, 21759804], [50606285, 14185518], [2812719, 9522707], [36784130, 69118423], [81664877, 23021950], [49727299, 73170222], [85530347, 18480359], [89362263, 48267613], [75684913, 20860624], [81241654, 21994795], [32547025, 43064102], [87772837, 66844659], [67502710, 97031040], [11101436, 81787684], [59572862, 58789960], [54988487, 38868033], [18030740, 58755434], [5562370, 6715309], [20592673, 72534457], [80275075, 18424636], [72649795, 71622328], [57931015, 35624854], [52699815, 25026808], [62785381, 78857784], [75422215, 51321750], [54915324, 19989016], [12957502, 69795809], [82143426, 65536057], [33692882, 13695019], [31402332, 70090646], [56658917, 9694954], [88387298, 73156068], [62041353, 36203164], [25127481, 69206134], [20367311, 79882816], [16131357, 47649136], [69768841, 53560202], [19505939, 78996489], [55076271, 20466388], [66026923, 84642969], [5722832, 35222641], [18628658, 41041643], [30413626, 58599579], [80708513, 64087938], [13574566, 39899409], [60433713, 14090918], [10887036, 42901974], [78375602, 5098921], [2187551, 84035543], [56139881, 38689401], [78425582, 74922152], [14335021, 6168277], [96358626, 18137175], [29885561, 38624168], [22003501, 3941862], [21258764, 41731373], [15933563, 88895746], [19967678, 30231628], [48870320, 36353768], [74087311, 68638679], [70299960, 11437590], [42591926, 51629252], [89166536, 99345861], [50130248, 1599688], [2682611, 82259303], [3961230, 45181866], [66088724, 58040763], [32547741, 21491591], [9233521, 61530096], [75417811, 5994857], [9685223, 90059302], [81622180, 95081329], [59285476, 79219395], [99466433, 42435525], [60118532, 93508615], [83970481, 60376194], [28714420, 25124879], [87891061, 25559054], [36898244, 84779310], [43842885, 78086399], [30430019, 77128793], [14129419, 442240], [89367578, 10140753], [8290237, 90696710], [14895700, 15896738], [72383330, 57100559], [34059807, 28509301], [68293675, 56886189], [80290857, 91722334], [28884416, 65130730], [19958785, 597126], [50470893, 91662835], [43285965, 82681091], [70074723, 80850637], [40707601, 4415917], [66750827, 17819464], [69692508, 87676023], [40108182, 22381903], [81513158, 87965916], [4656548, 42400600], [34462012, 15924814], [9233250, 51757426], [4773778, 35245721], [78257488, 46062437], [47049938, 93330233], [49649281, 90199125], [77945786, 66350684], [14711097, 62686450], [95811178, 116016], [315544, 18378949], [7788946, 20985663], [9088744, 84843759], [83721101, 72888594], [83765156, 43335634], [84336647, 41103896], [766660, 15472440], [42518630, 18398007], [54603861, 45191311], [96396449, 13742560], [84439191, 83111573], [89733968, 74492737], [36630342, 99208499], [20228985, 81786242], [94239858, 80722109], [25508774, 61522583], [41535927, 44859552], [74541857, 92862108], [83051030, 40253136], [92621311, 20889377], [19354641, 83783183], [88517787, 47546466], [63897550, 91104400], [19367253, 81212000], [47909829, 14199269], [61895740, 2145859], [10470253, 74938517], [30652681, 84724774], [95779118, 42111890], [63617605, 88668354], [96967945, 65293608], [87353684, 55871941], [32019952, 38409775], [88461882, 83074386], [42589058, 9014140], [11752608, 73983829], [42719802, 8573275], [55708163, 12226420], [54133779, 27457850], [37985496, 72895793], [59899471, 90011721], [8383681, 86190685], [54657663, 63215311], [3347291, 17688687], [12198015, 70050153], [87857260, 30355093], [17251623, 5536660], [17007959, 52823536], [69534797, 72921766], [4270431, 61217604], [53818960, 22816853], [68086739, 647764], [21626856, 50821943], [29749745, 10877335], [24294138, 83678681], [53848844, 15751145], [89758784, 21290016], [60319222, 11881819], [98419425, 58914462], [73798394, 54717316], [84177219, 67681104], [69731094, 56638964], [48336230, 70994156], [54382916, 86205758], [32622494, 52067909], [33694216, 92881656], [33551261, 88565270], [11770672, 68314801], [41428670, 83924616], [7217281, 16615612], [34123605, 5422563], [51622161, 27690818], [79885167, 34647041], [61944893, 11984232], [51054724, 46574632], [64070312, 69977585], [35836359, 32517135], [38038277, 55890253], [60790313, 81844686], [54039610, 50671336], [68708065, 51469054], [40074678, 50688856], [62874986, 68017456], [35311079, 1767073], [19104678, 74560142], [29113974, 34702230], [3837632, 91156369], [61499868, 21833843], [51351502, 63177854], [5578441, 43634610], [12188405, 16931305], [81728513, 25588076], [89651896, 74351183], [33193133, 2865149], [86752662, 37765368], [17367973, 71218712], [1347987, 80265338], [44701137, 28386592], [53930352, 6740944], [15711504, 13258034], [34098782, 20867265], [90859442, 17366979], [60738257, 6227618], [68270719, 34693889], [23903794, 34937008], [88769442, 85963476], [29372878, 97387454], [23359590, 64343562], [10214886, 51813673], [18287170, 43907321], [16637564, 74441645], [63980009, 39659645], [67652013, 66935855], [62676123, 28105427], [57813146, 56683647], [92716631, 11344995], [40491220, 11991323], [26176609, 54792449], [37144819, 75708105], [18288520, 5141976], [22655345, 52652510], [69108274, 45354339], [53437061, 90757172], [45036371, 19973390], [92976494, 37304785], [26238339, 89167360], [32291736, 38033204], [6830867, 33460326], [48348859, 61322350], [819777, 31192558], [54321045, 44028796], [71631887, 7748994], [92282082, 64764715], [55193603, 93481124], [48578851, 73731730], [15182807, 19115587], [83831182, 35274916], [52349213, 2833427], [71490686, 44918233], [27845496, 62544995], [65722557, 4097300], [37073882, 225792], [12678276, 67954022], [13124944, 58352869], [3927350, 99201582], [49939993, 14780343], [54177500, 29084762], [65320575, 62218860], [97349542, 12217467], [81575185, 86530907], [41635142, 47133883], [15248082, 37761813], [40512130, 20925385], [65338813, 65316132], [64605956, 94414972], [47036180, 3619204], [60835322, 65357939], [86362384, 28578811], [49356795, 56869705], [21327962, 27785541], [91909681, 61570659], [14832304, 21714766], [89555487, 41539528], [98966318, 7859316], [92133066, 4541535], [99743225, 80266591], [61891433, 43404346], [71279945, 72917880], [92640751, 34118044], [76739402, 21975396], [4032281, 90262953], [29463332, 12677124], [60789236, 1517617], [68225231, 76870210], [83133679, 41270340], [25302135, 32440023], [79985598, 24632428], [87959114, 56040230], [71957934, 84045884], [58962529, 92416619], [89050330, 84534000], [79956584, 72002038], [92382984, 46561791], [86800962, 10832993], [71593571, 26569707], [82695654, 3900201], [72518103, 34593658], [50145638, 35550929], [44702623, 47375000], [96916508, 60721893], [90660587, 10140393], [62169152, 60162345], [18362982, 35705447], [99912294, 70346644], [97398164, 18700505], [98329620, 78133202], [71944438, 38041282], [64437827, 35324959], [50959599, 22096942], [45502354, 26169371], [97723647, 2262073], [96876967, 64788543], [32383104, 25068674], [61291819, 94374270], [58086013, 28433512], [50077825, 99658617], [26090106, 25283079], [69032782, 27638917], [58076982, 33923595], [66514546, 82725774], [95128024, 32493068], [15505300, 17837940], [4145788, 67102954], [91930466, 64464955], [45519279, 68932851], [81955701, 92774199], [95125420, 92352146], [86405062, 18076037], [30253072, 28251145], [55015441, 31427984], [71923320, 19570754], [90406065, 66788825], [70604965, 24223074], [55693939, 19036902], [66632325, 72677665], [47282525, 10961980], [18941749, 75282368], [15825626, 46102723], [58827040, 4995449], [58703051, 19790853], [99365478, 73238044], [48705206, 48867001], [92291463, 98082572], [97298494, 56304512], [3477183, 1389937], [73543626, 94026580], [48665462, 58468308], [31287825, 37890373], [45394557, 42234263], [44849224, 40790769], [82462503, 10095475], [14647305, 93802471], [19530876, 17075825], [64372001, 35490302], [52324604, 28276255], [15840321, 17698392], [7022877, 17433535], [29933420, 23487103], [31746268, 93090972], [71146155, 68128302], [53968582, 99240240], [35765843, 28010564], [17034068, 16086713], [79975966, 30897558], [90007951, 62977485], [10711432, 57500227], [2058115, 29996266], [15168956, 67847563], [66755674, 47609345], [32551579, 70884724], [25024546, 29887457], [28907136, 95445005], [82738348, 49713459], [18776556, 83045847], [55413046, 82055739], [71709066, 76434635], [48164710, 30635933], [81788215, 81738454], [6425257, 16438394], [64786161, 67718707], [67799467, 4285441], [94596642, 19270044], [39075463, 66968507], [3567150, 71767700], [20615324, 73309273], [68286149, 39911548], [2000084, 97762640], [8181400, 64434545], [86173569, 63690598], [39421916, 62883922], [90147161, 10220361], [60670424, 36468153], [48570822, 8714729], [81581242, 32692409], [1865838, 12308052], [15105125, 33121950], [99546845, 6330265], [6640120, 31891205], [19803308, 68294960], [95799199, 96867936], [33943015, 42717700], [27929152, 72147023], [91644344, 8485606], [23705608, 66296437], [59540808, 6963982], [45327004, 51439160], [35653099, 48417902], [13879593, 88264373], [84002216, 87128193], [66096965, 96787916], [11009317, 44482530], [35421153, 54486279], [14229718, 18557512], [68587101, 64583316], [72511471, 234089], [23306189, 44975342], [16783380, 32580277], [31215142, 33121313], [925164, 12240942], [72115377, 89304691], [99496528, 79871382], [90263226, 71119949], [24051753, 14105600], [75809943, 86512860], [25807301, 16795442], [29218828, 95491347], [57250227, 78815922], [6540515, 88378998], [44555646, 23779760], [30505485, 94946633], [98251467, 19420167], [12161641, 2349029], [38045343, 62121714], [4277778, 42626027], [18006922, 19012690], [65541278, 91187401], [34547934, 17467681], [53166923, 18203097], [55268624, 32732149], [41851918, 12194749], [11468317, 15117340], [13307496, 59438416], [10946613, 91619546], [17631377, 68007465], [12335829, 87827502], [79207050, 96040849], [66692852, 95802187], [70389935, 27664108], [61813359, 20412331], [82559437, 59539053], [39863314, 71172513], [81492868, 44319304], [65613822, 83183577], [90151832, 86434377], [62022031, 90138800], [75595006, 82906229], [61454939, 87384788], [30839984, 83928921], [42070037, 59841118], [54888279, 48851933], [31662713, 93834721], [80642399, 74671978], [96341371, 81661336], [39874138, 26145989], [71925599, 84606645], [25508955, 68130388], [78631853, 59714876], [25556191, 13820561], [97597665, 85504765], [99591561, 41987412], [63616442, 56197403], [78795119, 40441846], [22034226, 53464950], [1823136, 70270897], [91240363, 6274634], [58003018, 41535457], [73563927, 58991943], [40357552, 66524353], [21053080, 48188749], [69006141, 26298206], [18240560, 56722854], [25582318, 48612719], [38618240, 6422481], [2329730, 62952876], [7621890, 70272170], [71619652, 34083993], [37076096, 18355342], [33666738, 56412210], [62719729, 97509576], [85956745, 60824149], [20588202, 22016848], [9435945, 81446454], [25727399, 62903716], [87061705, 29192210], [52492779, 79097334], [22943065, 7050215], [52619237, 32513131], [59370364, 52984840], [37213802, 87718838], [61837960, 33703185], [27550410, 14241235], [45459533, 22926801], [88812239, 39550908], [54696621, 56290507], [32750712, 37989172], [78135365, 6941995], [85405181, 73066847], [53007107, 46547247], [14081445, 2642949], [70855180, 44340497], [17278244, 58639834], [15267967, 32476709], [92331677, 81303334], [19997485, 84477543], [52486963, 98128054], [82959759, 44517595], [51741427, 73600395], [88843298, 62474124], [76365830, 8174297], [80273694, 94945875], [91619850, 45560899], [75671764, 61084852], [86943619, 93444666], [5946402, 79407788], [64387803, 1310948], [3864209, 62630284], [56889203, 94527214], [87797267, 25362943], [28991228, 57899334], [79846741, 94440407], [66356797, 89426016], [6290956, 4590100], [23476141, 22305525], [10971989, 32642590], [3293394, 8305341], [75827195, 41966340], [37796122, 36252763], [82223287, 3606858], [17599657, 36923861], [50743520, 44098807], [44811746, 71831937], [52394466, 19711312], [13648308, 87927756], [94673524, 15906077], [70419926, 64185563], [64698829, 37123368], [67174524, 94664813], [13875148, 54543077], [61442297, 58170308], [58768919, 30075569], [46572757, 48428049], [99283522, 7706043], [90653328, 16366779], [70546267, 16557914], [92979020, 33650920], [27605314, 48118296], [49976105, 43564145], [65841995, 78758043], [46575924, 60437256], [68964203, 20929706], [44901857, 63974948], [13258326, 96978030], [5040055, 44043202], [73059539, 36138371], [58971865, 188293], [62764328, 66179919], [35481175, 39027194], [63108812, 32693132], [80173055, 84603848], [60765910, 14288856], [91225152, 19473077], [54115979, 12757472], [83842256, 92871156], [26473107, 49316966], [52062430, 66172627], [76535393, 11955724], [7622599, 93631264], [31103733, 59227662], [78608139, 14343041], [65738154, 28285938], [16989406, 7300486], [56985629, 74020801], [62139782, 96993069], [97497154, 43514981], [2401744, 41524248], [76073099, 12007187], [35398513, 96989015], [51064028, 51418211], [97061491, 23201096], [24030164, 12449063], [65355031, 27181036], [41841894, 58260177], [65814355, 41783297], [38105311, 16311010], [67941928, 17900600], [36563354, 11221625], [1525874, 37731977], [60054862, 36190126], [22537115, 76006401], [89837921, 50913438], [12738550, 62994203], [58835248, 5680220], [7068161, 19182521], [42535407, 22748620], [86139345, 88685503], [67958654, 78491618], [96956572, 34704972], [5949620, 13658345], [84766881, 10895], [46967677, 76596664], [8646857, 55586411], [79650497, 59750028], [47276064, 50778578], [3611419, 57805098], [36477500, 72883207], [80755705, 59659378], [37357127, 50946884], [98114169, 28520092], [9665709, 89111942], [14030441, 96964095], [88338413, 48296632], [67717578, 36727421], [88168900, 35822962], [25464400, 63672857], [2234276, 55263657], [34955414, 73669900], [40930077, 43369732], [62438142, 45913995], [5885737, 36171341], [9801986, 11301875], [27440533, 88313022], [2530465, 82987949], [9930156, 8800480], [26170314, 21103341], [66209959, 27904373], [61008455, 2324230], [88506336, 42148539], [8029957, 95385895], [87644546, 65910514], [17292128, 68174739], [83700141, 52859403], [61615706, 90086417], [38099146, 99420078], [45637342, 55865362], [61213302, 61146376], [28395562, 48682835], [93152410, 88278706], [77005698, 99587325], [33636243, 84056750], [7374530, 68194737], [73512257, 99539196], [73499443, 9639364], [3620291, 73710842], [90225634, 59684878], [15406172, 55942549], [81650200, 14111492], [98078895, 81063500], [31690409, 8265594], [99598583, 56928321], [57201380, 75678196], [77618256, 5997588], [30767936, 14836445], [12795161, 17678707], [98875048, 5871059], [1400497, 47856575], [6086285, 81002915], [64958077, 44008686], [12855147, 64578064], [8101573, 55734738], [3292645, 58435243], [68340289, 77478591], [62550206, 28392400], [81007258, 2459415], [50033980, 50308344], [51671645, 29508279], [76848594, 42192100], [27463730, 87912054], [52203969, 16785612], [77397744, 33978406], [83121539, 22242973], [26919536, 35331415], [82881503, 14653762], [38173952, 19009980], [52150868, 38393209], [70520225, 22812162], [41454393, 35806695], [26623418, 78731079], [78175365, 57317377], [67472169, 22418361], [86374628, 58341553], [14547396, 53976960], [99650004, 97387751], [16991363, 12422462], [70970166, 70162191], [60415778, 49999135], [31340990, 8712396], [10328016, 47177995], [58432841, 74878588], [56320113, 93230692], [19506382, 60300500], [23919176, 35325236], [40737357, 58390494], [51761184, 30617031], [74974270, 59592134], [19761473, 4651549], [67244434, 96451141], [77846673, 18114210], [23900340, 20054299], [83796929, 74132344], [8199681, 93789622], [65440666, 28839380], [96572949, 39002885], [44560235, 55921123], [12194651, 39092662], [4514787, 9213455], [82804211, 51436186], [58616337, 81550584], [95149254, 43124669], [52989805, 53429319], [12511028, 21464528], [30375509, 60501483], [88977423, 10920429], [35874254, 91669027], [80589071, 67136014], [28575078, 86224945], [88056414, 84447965], [12047894, 84161498], [37762806, 35618040], [37807906, 78818917], [15791211, 92286619], [83680518, 11948430], [58572478, 42573193], [34438403, 92827300], [36321239, 57462737], [60862095, 30900665], [21425609, 78119788], [91224889, 51314810], [57338117, 8054954], [71658576, 23244872], [21485657, 97259968], [15296633, 73769286], [49176689, 10237072], [36040504, 60071559], [98359353, 39724425], [8819448, 10094159], [68592055, 93449980], [33717943, 72520763], [1242800, 59931937], [81020004, 96696505], [21298809, 73081790], [8203299, 58015451], [37916899, 89493732], [78985808, 47229106], [47551721, 32187537], [74383755, 97353069], [81917307, 28419292], [97608487, 85160887], [84114045, 37215617], [30076146, 46705868], [75447105, 15119373], [27766334, 23903924], [5487613, 91004907], [28984616, 59677777], [3637239, 63953630], [84690585, 15103017], [45300308, 36416783], [23323447, 68585921], [12748569, 56300140], [44221413, 49640888], [92035775, 57529315], [8363018, 8757025], [77628685, 66251067], [18426036, 51265256], [90871075, 75691017], [9966242, 86058308], [73536126, 40106594], [49053850, 68890877], [22543141, 1377228], [8963849, 87319553], [40887622, 48974550], [42470297, 6744155], [88457214, 48411617], [16755507, 57826179], [44351934, 86393028], [96159656, 46519405], [55786948, 79875895], [76479884, 16913310], [27617821, 28468370], [10724961, 39886131], [99915656, 33854077], [4817521, 57496677], [73217986, 96694469], [11838682, 84837157], [24952426, 89388612], [85482840, 62178358], [21935773, 86738737], [27142687, 25521353], [55822124, 74036393], [43216107, 61045806], [90790933, 68642412], [44479418, 9917153], [71555944, 12053000], [44278139, 63236944], [5525162, 48844363], [46953994, 40121628], [83053991, 98367040], [48285118, 38137544], [19868658, 5594217], [74003445, 99939209], [44037289, 24148498], [20386516, 73348733], [73612085, 78334545], [13470117, 98098939], [29143629, 7767186], [78723169, 97101617], [46620279, 34486709], [35152677, 16295469], [13954340, 37999118], [34130803, 33582543], [14113206, 71590644], [7064764, 79350775], [32299618, 90297712], [91460937, 43791102], [22805262, 68017053], [14696624, 74313464], [88206338, 61392230], [56541459, 76871554], [68986810, 67024276], [47583256, 48542909], [35964076, 69665974], [84908507, 85254913], [35099058, 65836886], [19762441, 40952017], [43235622, 40494961], [31096869, 11926922], [18167702, 35686899], [37399241, 89974128], [53061424, 82281547], [61189536, 74865146], [56805596, 2754712], [4510774, 83745084], [4705901, 97408853], [69544748, 82378767], [70530496, 65993515], [91244876, 67016289], [95154322, 49246074], [87321490, 33876083], [20255193, 24436], [85070886, 19183202], [70182622, 33455606], [94840361, 77758062], [49310138, 82835463], [60344805, 56365360], [92988410, 42571227], [46832133, 14550192], [10332765, 38657105], [19928081, 86627315], [89242499, 67968825], [59399039, 39833864], [27223161, 60818911], [81560072, 66909682], [37552429, 37090452], [55600523, 1805043], [11541195, 94311735], [30450547, 60156401], [62733084, 82489999], [69236654, 65800447], [29324900, 58142606], [17361578, 67341280], [83472806, 4280529], [5781719, 11896677], [14013287, 56708649], [71423314, 27427821], [1972387, 51280316], [35398388, 43450202], [10924325, 38708715], [97367680, 30907998], [56501742, 52292139], [82198924, 35669571], [30470671, 54184814], [90481033, 91681974], [86345738, 4340279], [63834459, 44707640], [67703662, 16857541], [4934879, 24456421], [83554849, 3420926], [11693227, 28561400], [27981952, 3892020], [29499609, 21751530], [87408445, 20664903], [32293791, 11027530], [23890746, 48331034], [20971867, 87774952], [22645957, 63762654], [55919835, 23070645], [22277277, 44201286], [47734957, 26810298], [75939018, 20690167], [13110305, 99272219], [91646274, 24748779], [85105453, 99891391], [19344736, 4882032], [45850643, 9812373], [67799195, 94071347], [26086325, 41962634], [59644596, 71893139], [48789286, 52221153], [93086761, 8705106], [47092034, 90829280], [71349458, 54999083], [4119149, 65973347], [83679344, 19483329], [25311127, 94756261], [41692966, 33729321], [6180235, 69025841], [33098533, 66856498], [48656864, 45268604], [93174686, 56112663], [55189822, 63955294], [66420000, 35691621], [8208462, 30405793], [57715239, 62487122], [69832660, 4705066], [65233308, 50646481], [75588316, 37764172], [12992167, 294807], [85179091, 31027314], [17357719, 43178872], [48007178, 58518979], [47086029, 14956217], [76357553, 94973160], [24516134, 923907], [50060860, 14053591], [16871760, 48286634], [32893665, 95837897], [12891056, 85392250], [24539502, 58318981], [73375950, 91488402], [36159569, 64166899], [10703384, 17325970], [70150375, 58188068], [98092185, 62236110], [92697361, 86622114], [52553714, 64095492], [80736093, 36878081], [43684571, 72623101], [3231527, 34575368], [57367948, 18105789], [73630040, 17464183], [96409163, 17079563], [95972289, 16135629], [46308020, 34135062], [58095482, 79230060], [42105910, 55519413], [16405405, 64668943], [63190378, 2391716], [57292013, 80702700], [76787426, 51038132], [56997238, 64833985], [91101307, 25813012], [46006616, 39247820], [77651277, 34010814], [27905229, 90520085], [83357941, 20762260], [45410662, 34295324], [68300567, 34676763], [16127210, 42629903], [76129811, 14548566], [93029734, 59604327], [77189418, 33573503], [78538638, 69935930], [47365360, 61416126], [32762526, 7035203], [74173979, 24224591], [39196417, 59725267], [17826775, 65773312], [31845575, 66697700], [57382159, 67080978], [8218267, 38886070], [85236121, 37732414], [51869394, 19336494], [17482446, 5384027], [63970960, 81199289], [67016500, 52949568], [14264489, 65246438], [18724437, 66202188], [49256487, 77260803], [90987001, 61994957], [35617863, 8784548], [47632991, 37409389], [83512424, 3581997], [68751768, 44323403], [16644169, 7358823], [41971578, 66280619], [29074350, 37074068], [20621637, 63066394], [86266060, 35410111], [12889807, 35869655], [60040862, 8075130], [82263844, 96250257], [13661593, 1772008], [60425076, 97470693], [45263164, 81683297], [40362408, 38940888], [30158277, 88426593], [74925649, 48977180], [4220732, 60385526], [42808770, 49264242], [30494307, 40566720], [59662283, 66620515], [25473337, 64058314], [44658460, 7177545], [59673702, 21421874], [6181124, 10383997], [62023224, 3526933], [42667690, 6397064], [77476921, 57859735], [83116915, 28375429], [90560150, 31196901], [55006459, 85621532], [42731238, 27724399], [22597811, 30476998], [14400241, 14792516], [33692182, 29768658], [87778556, 15571667], [2449610, 92259265], [72901441, 94737605], [76225706, 35144179], [41283129, 21239779], [16391452, 28591319], [47283798, 46934771], [47199614, 10171025], [83694321, 2703790], [7885893, 49297896], [73810324, 27519874], [3335687, 18005492], [34187524, 18338656], [76044311, 22906916], [30589850, 98103430], [25934495, 59625111], [93299619, 94824405], [59948696, 40874315], [1276640, 81252015], [76598245, 59460090], [87188958, 96655657], [79451654, 87871057], [1420770, 76032938], [73118479, 26652160], [7922746, 75253131], [27231521, 1535742], [94463381, 76390362], [46716124, 37047429], [1750579, 8813708], [39478470, 43858594], [83303613, 74787240], [47344101, 95333305], [452679, 73474890], [26929691, 13422310], [17422338, 64856388], [40347092, 22284654], [7724907, 92894969], [68616733, 71952041], [50114466, 48318956], [96629584, 62845524], [11663168, 34428437], [59746544, 67894378], [12697648, 21328549], [2825035, 94258691], [74908978, 96118610], [3350740, 44895297], [81843341, 21405389], [17319662, 48968851], [9445157, 1507648], [50436156, 20739348], [42984816, 1038461], [83041681, 69436153], [19552857, 10483913], [66176702, 81670583], [26089615, 17202397], [93060143, 87300975], [67900645, 89492446], [64149822, 94990398], [17763661, 60592436], [20307312, 33549223], [99619489, 32793752], [44230303, 56545045], [45733551, 30779468], [8594798, 18215437], [9660924, 23950853], [49412693, 70430196], [31345386, 31560798], [767799, 18642103], [84131245, 46540198], [52978756, 22294995], [16667123, 22615893], [73111535, 58040135], [73903129, 79596446], [46922086, 44928479], [46526931, 29334658], [85738820, 65841836], [74002831, 50343538], [23032042, 70816120], [87625878, 15702873], [81808408, 32404578], [52667649, 18419743], [89111833, 5269132], [12045361, 19500473], [13506469, 66649944], [67540625, 2989455], [17602104, 3620687], [44377799, 98487303], [57346209, 10609506], [70890427, 24445523], [12560598, 10881649], [22996614, 57212287], [20507387, 66609254], [46727780, 54218429], [14381854, 9002232], [89750367, 59262281], [88531293, 31966565], [98023631, 1702957], [98963428, 31346654], [3070241, 18281949], [63295433, 55776672], [46809655, 96306613], [44939930, 91201836], [20414546, 98163633], [83542393, 66648547], [22458169, 36495975], [13977893, 63259890], [97117960, 33571741], [32952644, 82872236], [20424737, 88039568], [80501354, 10871755], [80305791, 36344902], [10661962, 94278248], [14499944, 15379503], [30164007, 51343329], [75993403, 99702436], [90430966, 48591760], [21849169, 24272281], [46323448, 60205988], [93003630, 8608147], [32554844, 21150189], [13582544, 97698843], [88974120, 64140508], [87908367, 43120509], [95231952, 59125264], [34075485, 51842968], [55353616, 96350712], [74543888, 56950913], [2914728, 43613568], [65285633, 95752906], [36854450, 48200342], [85952807, 26830428], [32506597, 88606821], [75312763, 5597685], [41981417, 26130460], [72319558, 28859578], [15036677, 36716835], [8792595, 11960319], [73713522, 22044337], [35939100, 98151325], [22429413, 45359663], [43610242, 83844199], [31755499, 72684747], [63849522, 50186606], [40394428, 94716616], [90253847, 3361186], [17621283, 44755882], [59781806, 34135742], [98091124, 14280448], [99002330, 21925320], [20406847, 15031737], [78895832, 708477], [39058202, 1451511], [63227791, 2009897], [37584386, 32731200], [92756284, 73753053], [57506122, 28010938], [50110115, 75355023], [54869182, 18702517], [58573363, 80554211], [10031799, 76159707], [14114633, 22711436], [12995584, 47076595], [76123553, 58875210], [92790010, 13804683], [64567049, 12248389], [83286920, 3631577], [24089351, 90441406], [42467355, 33432122], [79167663, 33685677], [71582671, 17105585], [18045056, 22044281], [98874452, 33550958], [91018636, 8473309], [62159162, 9351906], [9715890, 77264888], [51714691, 82670255], [19817826, 28247355], [61981190, 60182864], [46222497, 3187872], [81877628, 74182342], [58211927, 72818005], [23182015, 53520264], [35353098, 86501378], [76922818, 69146610], [90876067, 15868878], [38251727, 81940292], [76509848, 96964307], [50650384, 58705582], [69337435, 45448441], [68245328, 74243147], [38287521, 75859748], [89105181, 58911428], [82670790, 39654052], [48798824, 86106137], [41177851, 71227298], [11788108, 84373066], [75710681, 55583652], [99103955, 69610148], [38596199, 73247828], [3797991, 64622832], [69131818, 90245522], [40445200, 21661875], [67913762, 69000022], [10723902, 75554541], [3043802, 97556603], [98907683, 89893634], [83513889, 1640404], [22314371, 2760346], [93963466, 48056650], [37510273, 64308409], [17793927, 90504313], [24290318, 47397371], [81858198, 81602745], [46871993, 88530219], [93186080, 99884595], [31937957, 10636449], [88434264, 77390289], [99684995, 33317918], [84606601, 54284443], [34486747, 72229755], [21807374, 47273918], [17883419, 31180049], [45883097, 78530125], [1974874, 58740878], [65999662, 62232830], [21026896, 44430783], [5168199, 90649186], [43379761, 46182918], [26587697, 6846881], [9196809, 95786941], [68244888, 83436142], [63382036, 5578084], [82882227, 4474570], [61553589, 97892726], [84044958, 49446558], [49745943, 35015885], [70099767, 71531775], [94909091, 21149118], [82135187, 77427696], [11394231, 81976928], [18876563, 76316986], [25735691, 37848189], [87561689, 81380887], [12524873, 12509648], [13696947, 54577151], [65546389, 19835046], [68973729, 24810297], [49362693, 68883590], [44157039, 35596394], [56781096, 45910737], [5061704, 18967513], [99050529, 11318870], [57065598, 67056564], [42769217, 35498878], [83325519, 86386338], [32100545, 67354567], [24967875, 3480603], [66015662, 30192570], [79541840, 73227819], [76103524, 81551164], [31605144, 40627440], [39582743, 25400410], [47504914, 77841898], [56387402, 10073000], [27594567, 96970803], [62549845, 8592080], [74983047, 51989349], [10157298, 10945735], [72960488, 54497256], [13101026, 60360841], [30241185, 73908192], [31484908, 28204939], [4498543, 79343728], [32359584, 5849654], [15427829, 57492811], [86449603, 67443645], [29094143, 17461775], [52225083, 51318692], [96043336, 33961815], [84835463, 96913330], [61149033, 92720143], [92199869, 69452638], [2987008, 41542081], [16754175, 98964979], [55349522, 79623468], [64318270, 33440317], [24037281, 34791870], [59386540, 12602412], [91485809, 6080893], [3630171, 55973296], [90266019, 34279032], [83862071, 44411684], [78485850, 60080223], [61651036, 89474387], [88687590, 10113420], [2460946, 25035354], [39654908, 70139665], [25254605, 42243778], [86360643, 13609759], [27387426, 76899887], [40173445, 96393848], [33550419, 99048667], [77111331, 30543883], [43887702, 74632621], [84081135, 97584160], [83643359, 26834144], [9861423, 99894602], [96501195, 19196987], [79373359, 7315426], [53939289, 19425296], [61319685, 49946445], [58988403, 84807549], [70748128, 59261494], [19315305, 15242571], [76157174, 19945783], [44670322, 75890430], [41220359, 22692926], [5851318, 42195961], [47044976, 41240715], [54218642, 38720458], [42491891, 53281420], [22532518, 1934119], [18783628, 57741102], [69902800, 86548853], [23472643, 1048054], [4788306, 36731387], [7061124, 85354972], [75131062, 13447153], [89328050, 19601063], [18672004, 97662456], [31119490, 53965084], [69894308, 4883167], [4574294, 45341597], [5413539, 25971618], [58663855, 84716279], [94264599, 93669915], [60093623, 40124941], [36013911, 90613590], [85201223, 99537885], [76742165, 9684054], [37562068, 62029062], [74300772, 73598275], [93071898, 29775132], [96506762, 62779108], [39898678, 20086570], [79162650, 38547607], [32544506, 24958333], [70150571, 75213846], [92294859, 60291601], [84111009, 9244957], [23708627, 26474523], [9577632, 53742700], [13738675, 66477971], [91780192, 81862992], [91093809, 2369115], [16726339, 47527921], [38487191, 84244044], [38075030, 19703637], [69788315, 89756048], [73990447, 28858522], [15281707, 23354886], [58268637, 76956218], [38946623, 7464982], [17877411, 3976705], [3197170, 77668037], [17290554, 10097779], [85753867, 56537438], [60239686, 35684709], [15753776, 47031028], [83533290, 43783580], [51465624, 69385072], [74722875, 16039990], [88708938, 89790173], [50080237, 19766403], [2452833, 66866101], [13239626, 54192844], [93823653, 55719321], [66728053, 5045964], [60090164, 39887657], [54749615, 60864926], [79213579, 94394384], [74454782, 30816338], [11115196, 23328002], [78304863, 62427411], [11867126, 41616215], [38425824, 67893093], [39885756, 65539619], [33087293, 9944431], [39043207, 98055067], [69825760, 52899699], [4357079, 85627233], [96470216, 63964266], [29181086, 47536242], [93954465, 99172308], [38726358, 28062743], [73599990, 21283455], [22862585, 59643139], [96565763, 65180760], [22435419, 90261201], [68543565, 37145722], [96013400, 41446992], [92935194, 21336163], [87763412, 72231286], [48824690, 23596128], [38049148, 44400751], [15879904, 63951128], [44081339, 78567501], [40752460, 90799501], [75865778, 29316809], [68488597, 95888434], [4796822, 84046259], [29544560, 78705798], [65028540, 74212470], [58919526, 57281407], [89114953, 24601985], [63364947, 6192759], [78674205, 70700230], [39273714, 37681703], [28022218, 79946540], [10164799, 41776632], [38659806, 98454210], [91644449, 64116988], [77538206, 15770791], [74871976, 10841718], [54372341, 85230596], [89456589, 96213933], [65091497, 4633126], [18262253, 37318335], [83130185, 47123853], [32330301, 53452053], [73051112, 68965512], [59432919, 52496133], [66422838, 44820852], [95189046, 27421369], [25584741, 5452732], [49281925, 38606659], [34446635, 7816183], [99382811, 89397814], [46950226, 3437906], [61969833, 20874605], [35557848, 64720782], [12594407, 75446431], [10756509, 83063235], [27729283, 88400929], [92427740, 21921205], [81701307, 98543178], [95778263, 35124875], [74426629, 21039938], [40488358, 36248213], [41138935, 95011838], [3169293, 96000611], [48337260, 83555759], [54411556, 85218464], [45906674, 40646396], [52826935, 59599007], [60185877, 82417840], [2262611, 51033551], [96582505, 53616167], [8744094, 10347607], [46159847, 65522412], [17297058, 93212466], [18125249, 17653898], [92390673, 29552007], [56148314, 70492690], [15258714, 41296913], [86381537, 4199259], [29663672, 84390598], [76735022, 28221380], [45467744, 55521411], [77015884, 92004740], [37764601, 92578534], [62393853, 23140705], [57197036, 33281438], [72483994, 62886858], [83955130, 51437066], [48319673, 53498148], [22305070, 65722036], [9719376, 23062272], [37522210, 43615679], [71663643, 33765534], [37691640, 26174907], [21467070, 45364254], [65075105, 38460671], [11722137, 14126198], [39983166, 34446281], [25907210, 34712099], [7755262, 5200477], [74125801, 53738469], [55958364, 93963214], [83527602, 4641584], [63118054, 40160662], [19859425, 20320849], [18782670, 56103946], [81221701, 66318556], [2753713, 4124933], [82291115, 21496161], [51028386, 48806718], [16367830, 57539856], [99766900, 60868676], [5040094, 66597715], [9725356, 16515972], [30915592, 37157883], [93810538, 36002913], [56169357, 50946160], [7007819, 31494882], [37687145, 36287823], [52091243, 97726934], [72447065, 24207915], [14102962, 33789067], [57297735, 47149236], [10149975, 42907677], [62523189, 3122497], [19729232, 51013918], [26738164, 13522511], [99092219, 22962095], [64255224, 44203047], [5452064, 89639163], [91706570, 84434449], [16091773, 84081455], [6146224, 71444301], [12142539, 19478676], [59173604, 32122744], [5149659, 94043665], [28090045, 44375403], [92366821, 44109176], [32031708, 94482938], [14939122, 40476053], [78563072, 54341689], [71820119, 44177286], [53761422, 85853238], [23935012, 57210246], [54827117, 99033807], [67446650, 96048847], [14637901, 44192990], [7651743, 60365843], [59961613, 23283404], [85757321, 33570042], [63586440, 34936553], [92016440, 57176377], [44614393, 20184278], [96681878, 83360381], [44102910, 3948571], [83929657, 9302135], [72900141, 31275616], [27025285, 4238907], [71094898, 79244222], [47149792, 61848609], [98036308, 64830107], [5896369, 20715435], [31925366, 31277232], [56953430, 56897047], [25391598, 81223046], [95045795, 76958861], [39839164, 59882373], [9549518, 1448038], [36156186, 82723918], [39530530, 26484987], [61295619, 36131276], [75394368, 24155958], [41966897, 96491122], [86725596, 57947414], [73106868, 51650602], [8268645, 3380936], [75701745, 82736989], [29538497, 14197445], [32020860, 46326157], [68493957, 55199970], [85790414, 7568593], [99921605, 43212478], [29383857, 79337561], [70339941, 38995387], [42985285, 73650651], [94253371, 51525791], [22698090, 15327336], [85178477, 80992501], [15981204, 26953231], [29331118, 97530078], [9074129, 94996401], [12190425, 75654310], [78205660, 24339749], [35548698, 30492965], [13750576, 60623355], [37609748, 82814299], [97588951, 69020987], [59125509, 35225418], [40490809, 93969534], [4637874, 72212182], [93979863, 38573876], [45493515, 37635864], [22241198, 35204090], [25069180, 40194432], [87710047, 30776129], [82320569, 66155590], [46505736, 99582756], [24351503, 30679102], [95972944, 13184348], [70576496, 7946698], [34581135, 98459871], [46033272, 81333925], [16375804, 99380267], [4886207, 89433521], [5690656, 34055206], [31432524, 54110894], [75672578, 13284697], [41768372, 89659052], [16131603, 4399325], [37352198, 39443929], [28814631, 45387756], [19456123, 23695220], [27567363, 24432245], [40703871, 988640], [99528985, 77866804], [25727988, 25943456], [29285471, 87097653], [16040677, 97647433], [5724552, 20112951], [22280938, 98276751], [30594084, 84219948], [54012058, 72202592], [3867044, 9621857], [74838780, 81208070], [576595, 55937137], [30214296, 54330974], [62305383, 13601045], [19915450, 72301903], [96450309, 28328549], [97183944, 70017152], [74920732, 37730990], [89281900, 57362953], [1295709, 4915162], [88795814, 17538840], [31495846, 29414156], [4100779, 27659074], [91488541, 1349637], [76179568, 53785965], [15982739, 93851031], [84280427, 66046022], [13875463, 92846063], [58769240, 59656047], [98798821, 26216175], [25102628, 28735107], [49841201, 94398053], [44070847, 51594845], [25180292, 95581615], [79284423, 53621615], [58404614, 8769700], [96959481, 30284502], [46226380, 93274493], [87699585, 36034865], [24720837, 3851567], [88246110, 71153867], [41833675, 7765711], [59641147, 54946511], [58622037, 86371744], [83092540, 77326243], [95880338, 77326890], [52581953, 16984179], [10749396, 84006930], [25141273, 13467115], [15240973, 44606133], [46185416, 40807899], [55548866, 70075863], [60876719, 17951101], [70398450, 94639022], [19715811, 63921103], [13522791, 63511614], [74863048, 6356714], [96890986, 51876399], [12542527, 59976435], [34069097, 72225823], [73961077, 42510006], [583194, 39976438], [80829582, 39311626], [66287989, 65490934], [5696288, 3855327], [70369037, 21727403], [64152601, 38447985], [99499571, 16678790], [39044011, 37356578], [13958696, 1638212], [3789404, 27717931], [89686736, 68894710], [10020102, 12362371], [21158041, 68132520], [17767434, 59449383], [56835342, 72861764], [40164692, 53569896], [56215391, 13064900], [76867746, 83333652], [48027363, 95259606], [24554495, 21158553], [10196511, 51881676], [55167206, 46538447], [27361651, 48938242], [10014697, 78868207], [74803641, 62435741], [79565095, 72690844], [21349746, 71971020], [71892185, 35727659], [29612730, 99312096], [95334171, 31393638], [10333353, 49955775], [46794966, 26816265], [25417642, 56139333], [35454388, 22262984], [99094608, 63309872], [77486359, 12526484], [12132367, 20995291], [35295359, 19814863], [99525351, 92649639], [10290749, 59315912], [58096198, 98059212], [36687639, 32667122], [22720684, 7869165], [62771599, 18052383], [84939958, 49981062], [23641349, 24555851], [78475302, 27868531], [97584940, 20932935], [26166323, 26631707], [95902213, 20931691], [37898945, 96985981], [4054103, 32277088], [81132144, 33424447], [88950128, 16826919], [34191221, 75036942], [23877775, 91998834], [11955818, 14773489], [23664992, 75572499], [76958839, 94151755], [35186518, 49781836], [17903083, 1629714], [33064980, 79071836], [76846559, 36308046], [26513308, 37933658], [62269861, 95962490], [53869735, 54601758], [39737300, 22645933], [85420938, 61265409], [24564270, 2261813], [10106885, 42926094], [59721032, 91342185], [89267102, 62511520], [24282349, 37840962], [54894538, 67578868], [56842957, 40769363], [19067788, 4699278], [5480293, 10632951], [46778195, 79324600], [78759648, 7971069], [7587903, 68894898], [63550629, 19138696], [79694802, 9324081], [28109437, 88164276], [32883369, 91326134], [77397654, 83565819], [48748870, 46618009], [48412698, 29406780], [6897965, 22225955], [89170200, 82360756], [64740386, 35147937], [20985495, 32809836], [79126922, 61240396], [49197066, 13629473], [32422101, 47967039], [13970623, 62380452], [85668221, 76979686], [66671052, 99494345], [32464108, 31148873], [29252498, 2607504], [18278952, 22545434], [58056429, 19151022], [25352864, 2992116], [49740675, 4315514], [73299739, 58077527], [62586132, 27864976], [89413125, 19956630], [50521134, 63691273], [93401103, 97755709], [54727759, 16375966], [91760580, 13399885], [96707224, 41425028], [30049324, 21112004], [74097910, 15220059], [42402112, 36731885], [95565643, 50558345], [23193346, 10156221], [43022288, 31330533], [68790022, 72965690], [67937543, 59150524], [94895431, 11663353], [44024834, 4289652], [35169053, 30159294], [59586112, 95742343], [88611494, 14967383], [59170420, 69418796], [20806122, 2405885], [26717006, 22799589], [16812284, 6519447], [34424352, 94696070], [28421043, 55102497], [24140061, 4534555], [58353289, 19334856], [91567133, 14729943], [1862220, 47476178], [5975758, 71670930], [62884768, 69186507], [97214555, 68130002], [36804429, 4992804], [51388515, 5417617], [88822368, 7040010], [85220791, 12930276], [94026617, 6879930], [95814812, 66949424], [80524497, 5735888], [89329471, 60242763], [98417763, 98502973], [41464428, 64472549], [1201106, 66423678], [45335668, 74321707], [30969099, 22488278], [85942918, 71313460], [12727392, 99595189], [50117563, 49083441], [96435691, 98606550], [63776160, 29820347], [24778388, 42283102], [99847546, 28162729], [13561056, 17376608], [11439342, 6671543], [89036838, 15270778], [12596701, 89416862], [53261628, 18544746], [70837132, 15122810], [70003798, 67125910], [94641106, 73205815], [15096272, 92750892], [37120866, 51576194], [9608276, 69245066], [32789321, 90481986], [26012738, 77455919], [47053989, 58562360], [92729621, 42737878], [26181614, 24190254], [47445126, 1010460], [40267840, 26518862], [12179176, 42200774], [82658027, 50266549], [12113808, 42307088], [81944412, 64432993], [94346189, 65282535], [70899310, 17710425], [58495320, 43611140], [69970478, 95155858], [15219921, 25144027], [69267096, 56101141], [70820312, 40816320], [7139309, 37331379], [70209750, 76022273], [98417074, 43657598], [21300136, 64697057], [91352420, 50052783], [65790666, 83261475], [40823618, 90457769], [52207777, 67230655], [70278953, 81847450], [7803644, 24053621], [915571, 16555786], [53224490, 99917731], [38998096, 93030615], [90433566, 38045847], [10487415, 79060911], [97034108, 31120108], [35592853, 27117494], [32459791, 80424379], [11181275, 27109978], [54540454, 54688991], [13038313, 66541694], [42704699, 60385061], [32027214, 32818521], [42737955, 21391158], [79769304, 66197827], [89115267, 79718986], [69273430, 35683820], [93433138, 14967566], [74282785, 12724700], [22312232, 83076374], [95670723, 96380374], [80769082, 30675075], [30708234, 84888680], [66682, 12461964], [40635614, 26805456], [15186182, 51949991], [85331103, 24196184], [9025874, 593885], [34121353, 45265403], [77409858, 84301895], [77181407, 27127052], [46699691, 58276813], [23696369, 49518420], [44993023, 3082164], [80854636, 45490275], [20279675, 43276532], [96779665, 30897856], [26343079, 93712876], [13803049, 14278610], [75845966, 16721214], [95441892, 93240068], [65677666, 90714887], [76918997, 65190038], [56642470, 22144292], [22032725, 13467196], [76085473, 12671528], [53609980, 44531396], [33178218, 59494439], [17945874, 11333372], [25971948, 46146469], [61258700, 33687799], [90525895, 60567594], [88242356, 28954356], [41351676, 84160936], [80184050, 57546057], [581639, 14194543], [56069623, 77202345], [67573537, 3852937], [21169716, 4389753], [86216369, 67321692], [13361687, 62961030], [50034720, 5278728], [21415431, 98501124], [9984097, 19847326], [54892475, 14992496], [49905578, 99773194], [44423812, 42650128], [67281833, 44755941], [24335849, 35569281], [10654185, 30696219], [54536774, 50410217], [45599606, 69768660], [14187314, 93946232], [63775369, 30539064], [27643971, 57858776], [27938804, 46910542], [28916366, 32197638], [8954361, 80384320], [49266740, 35956757], [87518380, 51986133], [94386698, 7739802], [96684769, 94598365], [10381522, 86395712], [57104134, 39699698], [89608957, 55903838], [93533632, 59069649], [48254397, 38251198], [95821518, 86228952], [16413300, 11337575], [81608254, 18016366], [18216612, 21556936], [38012726, 98131853], [19980144, 49568964], [40093196, 25530352], [6091651, 88578116], [31060674, 81842441], [91700851, 74353749], [55441245, 61044800], [57654054, 56061730], [23274486, 64873438], [9046695, 64096277], [42466401, 97351637], [70525648, 21554745], [21988455, 40009291], [90332523, 97692778], [38460661, 79591779], [25550948, 76894427], [14386234, 84315762], [10029672, 38245711], [19341723, 40980213], [60275452, 67026068], [36942226, 56337256], [38459790, 1216900], [30749438, 49268708], [54656278, 90806442], [60996269, 34167020], [62333676, 97908642], [62862911, 39058201], [75751901, 42541548], [23394748, 32484286], [70435937, 34750787], [67687431, 6420957], [11100568, 99318859], [44449907, 75955263], [19736624, 39376319], [97377612, 50407449], [95917238, 31834374], [29351860, 25545642], [66637798, 57589884], [47478053, 15034610], [6605369, 41898147], [98305965, 68109812], [85790940, 37553284], [93101444, 45127470], [68314836, 80085715], [11408894, 54122680], [71955244, 43508680], [2071155, 65724721], [82204421, 90521394], [44755806, 10965565], [86384093, 72065861], [14756142, 95981780], [86780141, 91606611], [14096476, 44653116], [2379396, 86641944], [5665225, 64001811], [61830594, 37993993], [99609659, 69267935], [70034857, 61771273], [13376615, 39129429], [74638256, 93658009], [67183386, 96547110], [64310963, 49948899], [77538784, 73544258], [27816203, 92462523], [17369786, 10363430], [85394673, 86420628], [8324199, 60400056], [78910860, 88121492], [70342602, 38971489], [45917222, 86479483], [77551396, 74772972], [99128288, 51652298], [46339799, 5002116], [39405453, 71375568], [90676880, 70901111], [13684246, 52282798], [49573594, 13756069], [17792374, 22517267], [2935570, 5622351], [25232544, 8469774], [47389429, 45963484], [83818659, 34824276], [60557755, 23817137], [10066076, 98494116], [49222632, 54549603], [70622309, 74088250], [73463505, 30563264], [258580, 60655497], [54172703, 68849425], [82695046, 82161379], [41349628, 14468269], [59194126, 28103466], [110596, 94399952], [32327904, 38051532], [23573446, 6707726], [54520314, 23876627], [41616031, 43889411], [50209607, 50085129], [17235604, 70964773], [66185022, 57369245], [59166988, 75180696], [78029538, 3764830], [57342002, 97643554], [39266364, 71674579], [88175575, 15288637], [33238406, 5155852], [67386630, 96954672], [61661129, 60075143], [4979231, 48317656], [42514863, 21977706], [52354701, 70324140], [20169441, 74846370], [67360960, 21311443], [26240617, 69634914], [12027289, 32581567], [74044251, 131034], [19866626, 14432271], [89271637, 2438581], [50107804, 7007761], [35647892, 71565794], [19547614, 4166371], [7583633, 8214354], [67449491, 1549631], [81998962, 22861649], [45886585, 83646064], [3219567, 25433438], [56948794, 43510808], [80163293, 80540871], [38118074, 45470822], [54529863, 4680183], [31919609, 10953059], [42516260, 41200769], [40743737, 59630392], [6630557, 4713902], [85806579, 3014636], [5678430, 48270615], [36742663, 77083311], [74700982, 74128485], [62229321, 58352851], [95019875, 42853754], [33414240, 50976038], [74175508, 70480307], [82109573, 57356644], [36607130, 26295460], [41063850, 74466776], [2776927, 51087934], [70764718, 41616867], [21503351, 34089733], [89545568, 4517282], [36789105, 54479616], [58784731, 78644531], [70736065, 34332292], [6336924, 85967559], [27038033, 32338844], [64565244, 32349379], [27267341, 94988808], [26302602, 22748123], [61462564, 7418039], [3170414, 65636778], [89574748, 77001259], [94109125, 87828136], [352558, 44025035], [56272173, 29685407], [39859441, 72567900], [57012909, 22724988], [99176364, 72475016], [96409487, 6476264], [74788668, 80821639], [12451658, 9581030], [14082220, 47193476], [36483559, 65561911], [35521885, 3060873], [66077742, 80530078], [26670332, 19046118], [58050307, 12377266], [719531, 54401792], [24218388, 36382546], [20435275, 97689965], [40097140, 50539321], [75599706, 75010468], [71767689, 98533388], [98517341, 12719402], [90872387, 29526352], [75252277, 2930018], [76154637, 54762837], [49972705, 26572084], [29016457, 77602725], [92362705, 49324206], [99649593, 3953858], [4297827, 9267231], [79901292, 71198954], [72287094, 29752956], [89520262, 58558151], [88386542, 87937421], [85626692, 55171831], [79857809, 42012803], [94959847, 99016776], [37727035, 9863893], [35720221, 82293396], [41861012, 90352920], [54441246, 27295657], [14308174, 80874894], [89447047, 72811426], [28717759, 31544144], [57420062, 80148026], [11036354, 57412905], [90628669, 45086770], [24496473, 57332125], [63333667, 42627381], [47560937, 20398846], [50838430, 39206833], [92448144, 28813985], [25649450, 87530621], [97816237, 84240516], [75054287, 62766401], [99032260, 41000108], [41028925, 95427326], [51137039, 70472915], [57014957, 24028448], [28843118, 27921583], [84046971, 99615111], [40506228, 38298220], [95228470, 80196609], [2556558, 4069231], [51769442, 42494134], [70547899, 46071882], [97529118, 24759204], [17739434, 593199], [70422293, 12379386], [23483342, 75762874], [93205968, 64374216], [59770372, 80785570], [5270589, 59679487], [14601409, 95872397], [52675514, 42967654], [76101047, 63193055], [2552209, 48871974], [5159235, 37045027], [80934428, 7112381], [18356426, 11546319], [26709875, 86382479], [94454533, 44515007], [26379029, 14916730], [85480297, 68959869], [4070399, 38716377], [42232614, 23753712], [52123156, 7746164], [22258273, 73996797], [81892519, 94805302], [2337860, 78546446], [57896828, 22768801], [98339930, 12393543], [15590757, 23088262], [33069324, 80295477], [95514589, 9273286], [85934103, 32167721], [66597620, 40932708], [68678952, 11499061], [62846366, 99312716], [34580536, 32349808], [82350322, 43964253], [14541780, 61527615], [47886603, 10496397], [679591, 60450733], [63313441, 84575800], [59764585, 85617376], [34561854, 37138169], [94371318, 70006440], [52520103, 48571877], [15276200, 42356454], [43318600, 94138755], [2605058, 70435912], [2456233, 76990100], [23061169, 45158610], [48324170, 89514490], [56438238, 87535373], [30384642, 13200071], [84935899, 69798678], [51640574, 3819783], [59474342, 90824860], [45990232, 6028561], [41404340, 76906600], [74572559, 1675564], [57928421, 73650601], [89721352, 48595070], [98757851, 21397285], [33194946, 25329815], [38290870, 63562434], [84012666, 72508663], [62253200, 94930210], [58804156, 13335103], [93951063, 9432585], [76761119, 11817192], [64183388, 53324212], [1616058, 82655182], [55730976, 85899686], [19600194, 32022823], [8734095, 73429046], [45688141, 89757718], [91582361, 32575195], [18768283, 7309735], [82416440, 23510043], [89238, 86076548], [39754125, 48768109], [57469274, 82453979], [80132300, 26861679], [24708904, 87267078], [54165258, 32382698], [59362103, 8128321], [74350820, 56692738], [36369082, 38020918], [61394400, 50519728], [90686750, 62765470], [54322652, 67207609], [18874152, 91985811], [41099975, 61183790], [83734906, 68816148], [66883498, 6952612], [8884957, 18972901], [15410096, 2597854], [53840904, 26588973], [82970090, 2136657], [96885168, 79044228], [31666704, 55813514], [49206221, 37506273], [78344986, 76094329], [28207138, 94663807], [9782222, 11713424], [71119527, 15124143], [79904016, 36632126], [44259563, 72463598], [3317729, 79520541], [84379448, 35518775], [66777988, 82201096], [36304837, 16507551], [36970191, 85001857], [49965898, 36371373], [4018926, 6240643], [28946620, 53425682], [14007159, 1813164], [5688343, 96348695], [29415807, 8464645], [71702701, 17239973], [73575956, 40303757], [81757595, 92329933], [76793448, 82789777], [32354765, 51118822], [36689246, 36903746], [18271822, 30271389], [95691233, 88511752], [54068749, 79186529], [67794810, 23339233], [86863188, 76030091], [3631132, 7860151], [19320268, 63882689], [5492146, 66447350], [32481066, 68574480], [43680186, 65247059], [96924858, 54907630], [13873360, 76132583], [89602159, 29272488], [13211091, 14497157], [86676058, 64638879], [35701467, 40639403], [13197620, 76977492], [56364928, 83184344], [20510246, 62867299], [75437123, 25961278], [12887715, 10525008], [27678463, 57674917], [58078504, 17355202], [55385404, 50950295], [12803383, 37037315], [31472005, 4542409], [57695744, 10868724], [10358688, 88385416], [37492464, 15316061], [92890241, 71503872], [36309231, 67760441], [32087841, 29229162], [95904972, 51540969], [10375297, 27115928], [42431507, 69033038], [26482583, 32631190], [47468846, 51152733], [42240390, 60551683], [72561589, 11607026], [58847517, 60029368], [17067418, 7038480], [99611261, 34030184], [81096538, 83470467], [54702309, 75696977], [37651473, 81017492], [74000298, 24525618], [83327323, 20641636], [48192435, 8744896], [89053867, 35390646], [38922301, 52593211], [96480845, 30009029], [84918001, 10361958], [76658195, 21844395], [35905632, 87686551], [87911341, 80868793], [31943716, 88072590], [27581723, 24648761], [32439823, 72712349], [18555600, 41490647], [90947294, 30627855], [18536989, 86712405], [48203105, 8068734], [88132695, 36378470], [77577100, 81609265], [8582393, 44435040], [78296909, 48785637], [6005941, 51614880], [60823708, 36341727], [82648815, 69601261], [42798222, 57776842], [54519027, 84738541], [45440475, 64653806], [39150618, 86065182], [50079074, 86390437], [57005084, 77260434], [36172076, 72935712], [33883937, 25392969], [20370957, 7185338], [34342072, 84504678], [26995073, 95911436], [60617301, 11996737], [34585848, 85990807], [57004034, 15683944], [22330927, 22362878], [89008818, 93076540], [97623037, 57594981], [39101682, 9901728], [81652955, 81270843], [14542090, 53112996], [77219956, 45428881], [47037292, 53303856], [71118238, 38857440], [92338033, 4752990], [81489652, 11163772], [21082933, 48110252], [24427848, 52202324], [80895061, 48712468], [71162078, 84558521], [16171097, 79270689], [14257393, 65895963], [27319977, 72062131], [16800709, 21659295], [39058138, 61569734], [54947379, 88509679], [11857411, 99814365], [85848885, 13514590], [36137628, 63349788], [73839963, 76095732], [54926067, 55148049], [68440969, 23372593], [26827087, 39542864], [25183460, 40146888], [12267902, 4481871], [8380601, 59168825], [9746454, 79555430], [9294295, 20913517], [59347229, 83568217], [93156217, 14178226], [54742217, 38841260], [42765707, 9004263], [33399760, 1432227], [86481948, 65105049], [18201948, 48298604], [41335458, 55384002], [30492258, 58884231], [28045116, 17506965], [82957888, 47814968], [69273467, 28639815], [48575706, 3087582], [37940272, 55478205], [587143, 65533103], [57884188, 80825218], [16797955, 1359496], [7725903, 87377579], [91728682, 26293826], [8427190, 51168023], [5663559, 92729396], [31094960, 1925844], [39260462, 43025849], [59266568, 69339192], [64517460, 39143074], [77086788, 61443104], [13041448, 33735013], [20763852, 73748509], [71777149, 57506345], [18953354, 66216353], [8827221, 51904563], [55234988, 28365493], [24994384, 40444334], [48672166, 77576667], [99301797, 6429707], [17592256, 67920395], [96384700, 2546685], [46701868, 19901827], [22655095, 78889458], [33951180, 5845768], [90931235, 660013], [2734902, 40814001], [79331785, 99329066], [63106329, 37490115], [47831134, 50775943], [66303854, 7505700], [86167734, 4885168], [19297734, 56768908], [61306104, 20055683], [39237575, 6945152], [46245982, 60135082], [50644461, 87495184], [73912653, 41907605], [83172591, 41190904], [74984472, 19257546], [95755877, 50320334], [46209882, 4659839], [78014049, 66758063], [18050344, 55912499], [78909024, 69469220], [1563274, 20639568], [72617081, 46379813], [52045814, 13267117], [59308967, 57720695], [72627727, 46848976], [11641773, 23876119], [8325887, 8591816], [35258140, 11680120], [62483360, 89854041], [19901274, 6774804], [1843616, 70530030], [47199393, 73732471], [30263263, 16320838], [481831, 65735794], [46667995, 47188790], [64885522, 84851383], [9130735, 5679496], [5393515, 92305551], [88884684, 84755977], [64078109, 52970054], [88562525, 49618615], [46498025, 14038038], [16819258, 96651957], [42267869, 43178343], [40701641, 11124919], [65408488, 11207229], [22131593, 70566872], [56836433, 91288021], [90354154, 19503469], [69169495, 55138943], [64510195, 43940519], [59943379, 55814811], [82628649, 13965432], [83888290, 16357959], [55107544, 28616789], [64551301, 38799143], [37290687, 50259482], [77253055, 76323166], [13949889, 68556532], [74162740, 9892498], [62906955, 9734192], [75701073, 68400296], [79819101, 33253327], [68028186, 61875209], [17092081, 41970417], [33265657, 30563594], [64197471, 60229891], [81840383, 2816425], [74260360, 45696076], [84648370, 27166026], [94543178, 64741535], [39342540, 59363088], [33144655, 45028915], [42073122, 26651983], [85465807, 23656924], [81751287, 52437151], [81347090, 9011656], [41921602, 27888774], [22357416, 81924667], [87048063, 54535554], [84937885, 64800961], [42240083, 74417939], [10851994, 890208], [20185750, 9687424], [47757617, 19777848], [73806512, 25732346], [34421649, 33359286], [17060510, 54841908], [2260516, 26449429], [98207298, 21786393], [58094481, 54251058], [74928493, 616827], [86093245, 94753648], [65456429, 26270089], [83494178, 60700983], [51201833, 84482962], [12584536, 92465186], [59447245, 14578868], [91138101, 50437322], [4982692, 73474445], [83677341, 99069817], [74213568, 35110980], [73522570, 78675774], [98805457, 65799316], [61160807, 71381783], [59852152, 32427345], [48392411, 97961863], [65164319, 24022978], [49683144, 97849020], [18826167, 53123037], [62071202, 23679815], [78937242, 35237197], [67576693, 42340419], [58594359, 50022937], [73376335, 26318372], [35645886, 14325697], [26940911, 23020310], [20287774, 9729620], [55209362, 55080397], [43440524, 79380030], [21519318, 91492994], [83183950, 53743704], [8243721, 54053995], [97464290, 91751600], [91490295, 18183269], [64589127, 14467946], [95256338, 6813038], [71501396, 34689141], [27439157, 5529798], [40438978, 66582540], [6068288, 37109179], [76101867, 81713804], [49052501, 16830729], [24229181, 46183787], [24085024, 6911431], [59559812, 42835365], [49101891, 90606945], [32232145, 73995298], [83298928, 70656071], [91071026, 37435900], [50648758, 41591065], [1100609, 78648091], [21067993, 65233524], [90881376, 19011513], [49142983, 78183739], [32137722, 39187113], [55097479, 65174492], [50711375, 71396243], [8368744, 53113585], [8983258, 78684707], [85203285, 13607478], [72832956, 27068964], [98809810, 1732400], [96647444, 60376172], [99708783, 14995228], [4669039, 53682913], [99693701, 50965516], [1242048, 40846795], [85980145, 35064481], [69264876, 33718458], [9406948, 34366335], [16705954, 51564163], [80578264, 97566424], [17450269, 6659704], [5313967, 36141061], [5188475, 64354495], [48311187, 79153066], [86922339, 25837656], [49365672, 96351823], [48193028, 51644349], [42017837, 20097398], [76569187, 9129380], [83634081, 53855791], [71998241, 16764170], [93857098, 82462698], [28290664, 98722374], [2462460, 30891441], [31081713, 61387953], [59238295, 1542914], [60362545, 58401226], [19892220, 43506546], [1290460, 30170570], [86539587, 76699007], [68861415, 31148114], [97464238, 70413034], [94540830, 94594179], [23906710, 5877220], [95298440, 55511816], [94185133, 82638906], [33294699, 25748954], [10067165, 69477663], [32502646, 6049933], [10914449, 35917447], [43209668, 9929693], [87270909, 57409463], [6862258, 7554125], [91835575, 69732146], [50397447, 26703645], [56356557, 9329182], [93247228, 22197839], [30142071, 72806900], [71800663, 94157608], [82512005, 90174636], [73542025, 72566956], [55504442, 65524064], [32692962, 82838202], [69368227, 84564375], [4736257, 68705054], [66356070, 72218374], [17510853, 96300926], [364494, 22281521], [87580756, 33281515], [34184742, 97912421], [80212322, 70402664], [97437722, 44345330], [35992514, 19515835], [6628217, 17361142], [21691403, 79826071], [15429274, 39923351], [723535, 14519307], [20266923, 5759314], [64372248, 56700558], [8462349, 96915797], [87948563, 41584073], [87522560, 85769935], [72221150, 69896915], [59123065, 69800991], [68445490, 99100874], [76038373, 76693697], [9861374, 14093731], [71964932, 66597870], [26099051, 34206369], [89282491, 1641231], [94720472, 84608824], [83699834, 27518912], [76084074, 11664465], [76627979, 23196289], [19654641, 77116751], [43945058, 69984971], [69091352, 21124845], [66842474, 73368206], [84315000, 93288500], [39207242, 89055649], [61558630, 91071187], [29448807, 98615722], [24391920, 5571865], [54446864, 64939152], [17584635, 90848866], [39697843, 58892004], [73308847, 16963462], [14523138, 35150737], [93851226, 69441211], [67362385, 9008820], [2584527, 59391265], [43015791, 84734780], [58615473, 18565522], [4707656, 35287220], [92621655, 570253], [18865490, 47038897], [67607859, 15440772], [3019921, 50784485], [67133497, 64980913], [31759088, 93575181], [20076106, 83334857], [73727815, 93174845], [84924118, 57131141], [38955552, 92609676], [85841599, 56655640], [35137042, 92367841], [41750120, 79962675], [28594411, 4479527], [20032601, 76282050], [3802653, 2179830], [60617440, 41430803], [45856334, 26736748], [64513761, 76229783], [45649947, 88373253], [1755658, 35259178], [79072203, 90916580], [17282776, 15157907], [89063419, 19630239], [27591569, 55194365], [94286260, 65466613], [88526025, 43034542], [24441915, 97652500], [61479742, 78961650], [76802383, 93159630], [41247856, 63053049], [90836279, 52823485], [7291252, 5637180], [83064608, 72076432], [85532585, 83196422], [76080568, 78394739], [28600928, 45841136], [86956765, 2220103], [27613084, 75291755], [47451491, 46168348], [5449306, 2744852], [46374763, 27670860], [84120552, 51727630], [73142586, 77469006], [98411469, 25899691], [83689061, 26778265], [25718618, 76039477], [75361283, 45950896], [58425195, 5693420], [60735773, 42359112], [18750164, 81094281], [94073347, 89856553], [81293442, 46949851], [73729615, 55728971], [51437881, 89989083], [57856327, 37772115], [26227981, 52496541], [91144846, 86331362], [36098765, 66338188], [52896048, 5388639], [86087407, 24455054], [76498748, 48416802], [51656304, 27415104], [72975774, 71309712], [28738193, 22120611], [53572142, 9924381], [83595051, 66368072], [12799066, 55015747], [16252521, 8678368], [95268194, 25240776], [68617815, 9098272], [20486510, 24268300], [35219534, 51689866], [68544459, 12434503], [54033334, 7683757], [21770472, 34086587], [35712, 25271652], [8685837, 82884213], [65480831, 31691914], [99666170, 10920873], [58003211, 89303362], [53352512, 79486998], [18472971, 15396487], [92328284, 33300171], [74723197, 43912935], [11578842, 29660253], [24157939, 44128279], [89657130, 55681147], [61719866, 21258559], [9377526, 61057301], [15629708, 15346391], [20564181, 50041524], [10366898, 43889034], [86119114, 89462643], [95646101, 76809185], [67803920, 30977520], [93426379, 4150889], [83976343, 75766485], [19376624, 75581241], [13793478, 66210108], [31006410, 46353812], [59870188, 55997802], [84124168, 21931236], [98500761, 53142107], [39164463, 58273833], [86476454, 62516798], [87815372, 84466569], [85781338, 67307140], [74373331, 75072723], [39129353, 12331657], [39337294, 13645497], [14089862, 29298468], [55696276, 69370905], [77562640, 54473169], [2571635, 44728786], [77192529, 21527729], [47415937, 83219742], [36293430, 90237220], [9484665, 25374874], [80421390, 48787666], [46567787, 77610501], [63956177, 36645150], [48973604, 78962360], [94041935, 30315834], [552884, 53039064], [45079153, 71224924], [64910822, 9185072], [43157964, 52619983], [98207576, 86792984], [33521690, 53052078], [4983036, 26568331], [44369601, 65283740], [23880275, 92589339], [29890041, 41898183], [6662198, 77046321], [27719486, 23440154], [86306046, 74179351], [6921085, 77342819], [90104150, 67304138], [99673983, 97869711], [48682750, 93637486], [81458838, 49255336], [34446508, 2556495], [69378683, 9939445], [14362784, 46250936], [86751565, 32495754], [78808982, 66381650], [93586584, 73184440], [99144102, 43177657], [31218258, 40121287], [2180704, 75730088], [59884704, 70959684], [98342183, 86892575], [51391719, 59668100], [6785621, 9736505], [78154818, 9822466], [77706356, 16245736], [83114912, 183384], [59700086, 13963881], [53946470, 56818069], [26801549, 54133486], [51895382, 17668912], [1026186, 87345899], [18626488, 86819964], [45994800, 26091756], [66892212, 1208978], [63964480, 94881851], [23586495, 83187746], [66973062, 70474368], [23704466, 98738212], [69539156, 53546852], [49711771, 16435013], [65349150, 49323110], [91179538, 72381646], [11488018, 76888565], [85631896, 37632475], [1862486, 66430668], [67785563, 3737014], [87974494, 10664878], [80973150, 58948231], [88404261, 93426923], [46951699, 47576270], [64605029, 36144228], [53166521, 42969319], [43230060, 5051534], [46412003, 391222], [83031214, 98529793], [64790149, 45588584], [4106037, 21467737], [9987611, 3904181], [84891811, 19310402], [59032926, 84409247], [69298, 55127496], [42237049, 30218015], [82959247, 65577739], [25171927, 67058693], [43070474, 42745550], [80132421, 76303142], [87722893, 19645778], [64334174, 7418701], [95247709, 43503350], [30506072, 998026], [86779046, 69157472], [7790906, 27256479], [82472963, 47305652], [65464327, 30683255], [89993546, 37752644], [60801148, 68680317], [94500928, 80714431], [86257831, 88945956], [50760024, 20508963], [72393018, 97527871], [92026420, 16263403], [68019154, 36878062], [84282247, 15294804], [99909855, 27985206], [35033672, 53808484], [26651412, 11771721], [33351868, 59228290], [71587401, 2169408], [5820185, 14716536], [67688550, 39296256], [12825105, 77780771], [84338180, 76563195], [67392137, 19892977], [29089770, 4484504], [7009899, 3048328], [31933201, 9308712], [59613992, 98408384], [82872396, 40548284], [87534816, 58495988], [33505140, 77724342], [64792517, 75917134], [41495770, 36523869], [62964483, 93202774], [21790190, 3316432], [73958790, 79722837], [8885265, 57908468], [56002271, 75386755], [68003841, 20704558], [75786335, 6291942], [5389524, 325975], [91959652, 48024862], [85892237, 37527584], [51227626, 68903679], [37617307, 23881996], [88935797, 18436003], [27996983, 62709767], [45874324, 43257057], [14691123, 94844253], [52671822, 6591698], [99348083, 51528520], [29508087, 77055220], [23942172, 49810487], [20084527, 12276071], [2300208, 59922380], [44777807, 28036503], [76943861, 45476049], [13131244, 13655739], [99014402, 18325803], [93035908, 90635757], [36338500, 80169420], [63205951, 32706363], [81199816, 90988617], [75064786, 57557326], [19756776, 97361847], [87172160, 69349152], [69011009, 77853806], [56752878, 62210750], [31289010, 3437624], [33139871, 16694891], [20268939, 4262365], [31191509, 7646973], [76899453, 18851149], [2560446, 64452318], [73040893, 40381233], [14778178, 93840056], [54358517, 65669022], [18047017, 71597928], [757490, 67181881], [49157804, 27646765], [182402, 25551008], [38872771, 84962667], [84350019, 15613411], [77861713, 15967031], [16755027, 19214783], [69148159, 95481844], [20117469, 63840662], [96088824, 64653689], [55267995, 86031904], [99408227, 61001570], [21140119, 69349279], [73771930, 85546478], [68802692, 7764915], [81605953, 96717476], [21421466, 8691514], [39502067, 1203615], [50848761, 47748589], [99178703, 31513656], [57385230, 55869644], [33887856, 15631309], [21793969, 86966757], [30517871, 24866305], [47493383, 91699516], [63274313, 95797557], [93755131, 88950586], [93611193, 68969034], [93665976, 44052372], [45064872, 3888382], [96351090, 67866211], [56911366, 6769679], [69597832, 36822210], [99594973, 81587037], [3643540, 72488254], [64601457, 52080911], [91874169, 7096618], [88059074, 12393443], [23112956, 1061449], [13220068, 87575267], [81556224, 90290333], [68483041, 46072934], [80692781, 5206426], [98348058, 18001918], [17508337, 7334323], [50572009, 19928439], [2741479, 71267956], [65623241, 7687156], [42452024, 40961282], [55344212, 46016373], [91583710, 94974218], [67738998, 78271208], [31416058, 39081704], [58977054, 32997125], [45474177, 30239926], [85768640, 46951155], [40559541, 63672312], [47773255, 18358273], [49664912, 78647320], [67904097, 65066633], [13100939, 37348547], [78616335, 86823530], [53821757, 75051374], [95691597, 21026430], [24563345, 60477441], [21853224, 20014146], [51497650, 37028200], [13107379, 75476397], [31778714, 62059507], [68325921, 5575643], [31471898, 64032540], [3144050, 7621880], [16331427, 77054642], [77534137, 57619906], [58120863, 59335477], [91845376, 8814261], [7636536, 91091059], [26154804, 46075727], [30256468, 86812860], [6496998, 85315507], [28150103, 82032468], [38618660, 20764176], [57961813, 50963441], [61317560, 89917636], [88552920, 57863128], [90907208, 53500414], [10571199, 58861212], [16728181, 71657207], [21483873, 50635357], [99143307, 91093952], [79366481, 36287852], [38385852, 69516756], [81250374, 47937197], [62754403, 36735674], [56671788, 93291554], [42611920, 41905289], [33340764, 25513050], [69687163, 8189918], [10172611, 95140018], [57947566, 54994402], [9960745, 86385880], [62946526, 21388726], [39116230, 556157], [70140548, 43038118], [7670324, 38132170], [77376372, 99448886], [28718761, 44673957], [51361529, 55648974], [27361859, 57821843], [98340175, 5805775], [14569928, 87067148], [14748707, 41807192], [6060786, 57981576], [95403290, 71717106], [51980050, 19525581], [99465960, 76161558], [49447594, 7197770], [86766317, 60974013], [12580376, 4026929], [74846924, 74430772], [27529691, 11187182], [6676450, 1802268], [80767663, 13351906], [91422126, 83267398], [27246718, 37837681], [63431322, 69582637], [86265950, 12942440], [69499399, 30028096], [70378551, 14132124], [67993524, 11576861], [56245594, 26848227], [51098443, 5921304], [73823769, 56593688], [32832189, 68680209], [94445905, 52859880], [57092113, 62859535], [12023007, 23134076], [20344675, 66693832], [20421148, 95327387], [40002084, 97522096], [60868048, 50238189], [6775281, 11601174], [302471, 49873610], [75262444, 26327455], [12322463, 26767004], [86184544, 37177835], [5269700, 14575096], [46389612, 68304493], [31658132, 46278844], [9269063, 72157772], [78932045, 29129260], [75792163, 54980371], [56158034, 81146556], [45473159, 36407102], [3236081, 30425025], [22480129, 23150153], [67257091, 98386140], [32855073, 72265555], [88705651, 50716943], [44725425, 15333746], [22304811, 51972885], [52856263, 6292901], [70747972, 43224465], [38453514, 436198], [53120856, 66116029], [92083767, 57792732], [17742677, 65698131], [22608481, 95453682], [44649128, 11558952], [25687423, 92614773], [49144884, 33370430], [47272588, 1629795], [18552848, 93259459], [8975254, 1636527], [72864278, 68645758], [4485951, 1214177], [72122447, 34593915], [36695112, 14676349], [14858205, 73101892], [92920137, 73483253], [41859706, 99779383], [68540066, 15039831], [55230015, 63182484], [86448320, 81682283], [59718207, 96327082], [50298568, 2392452], [66591194, 38635188], [70401096, 32742447], [41742801, 48560380], [90161407, 88574813], [70177611, 30722231], [61830849, 85735007], [13637518, 11826173], [48728797, 73461684], [43982817, 74939267], [58163234, 81834732], [25008632, 37958724], [64875733, 31118548], [45070497, 53512710], [9876227, 22180618], [3307420, 30698654], [95623970, 38325188], [53516204, 5322059], [60589943, 46897276], [55630736, 32698402], [13452929, 17405675], [73969590, 69189528], [36754306, 60297246], [53679322, 57216911], [48001197, 13471204], [20241368, 26878968], [6231633, 72275212], [89696196, 52742781], [74911552, 91555573], [82699004, 92526157], [92041127, 46875010], [92184249, 20247283], [33360541, 66215513], [74944461, 77377290], [11668117, 39191797], [85388062, 78317907], [19599480, 96460809], [28383390, 61752494], [17594336, 27339964], [73654080, 17828816], [82580475, 71186741], [66256215, 58468639], [47624914, 27796412], [39469396, 58301830], [92561535, 75474447], [59453063, 82022571], [75216065, 34792883], [6301440, 20628880], [68344187, 55036897], [86921246, 48627553], [34235786, 53605225], [45737895, 41127545], [39622346, 92243965], [8168172, 97099451], [16073550, 88004660], [32106914, 93624138], [9264970, 5608105], [83265125, 89076657], [72257744, 92570509], [35914873, 9917010], [1288963, 44655011], [6195816, 30905932], [12042860, 65922559], [32878699, 80170140], [25491204, 32495162], [45437837, 57677464], [54946756, 61131257], [79268548, 47583166], [99441850, 45440212], [55122239, 86350267], [88005110, 79368649], [5118548, 89063792], [26495074, 44029509], [14319595, 65525597], [88237951, 49903359], [96457788, 40427821], [40316028, 89613330], [15162864, 51977465], [50622078, 77553199], [90721901, 93779548], [66415687, 73366633], [94299386, 85878480], [99134381, 4865229], [28034281, 22521748], [99293145, 94388734], [16736736, 31930406], [96923445, 6359492], [42248040, 68301656], [75410698, 95658659], [30233083, 96404826], [84597401, 59336974], [71609814, 65078077], [6734637, 72755834], [86708636, 20947712], [60746213, 5837810], [69641308, 80059474], [35466681, 44170282], [13195644, 95383681], [95450326, 59709085], [15755922, 11418962], [82189927, 12231129], [22319624, 43805125], [28741682, 51013484], [56841463, 20949154], [71990773, 78029668], [26360683, 75028010], [22903985, 15428246], [16110843, 80530410], [17243183, 54895056], [96794250, 99601021], [21143956, 58422305], [21771829, 78350747], [49474098, 66789959], [88242770, 22988960], [2677802, 78807150], [55930409, 12592343], [57615526, 76706509], [20842957, 2850549], [52972139, 15485572], [32249617, 96002356], [49795451, 89159739], [62465997, 16718088], [4665853, 32681124], [71685767, 44273178], [61111784, 48299085], [64473571, 59231211], [72692263, 17908762], [42460178, 46658691], [3520131, 59758341], [30535849, 26539785], [94933263, 13290173], [73699538, 74782324], [32459781, 95420831], [25271052, 19066704], [79354664, 8669482], [42493249, 48578500], [6717681, 45514361], [56346460, 81160838], [21270182, 94145342], [80804023, 59917057], [2461625, 47681856], [58251435, 98581759], [49778691, 3576487], [74084, 5519503], [24425545, 33963596], [38269827, 69134584], [95808982, 64983707], [81307228, 80433928], [40785530, 19953394], [38677514, 22856588], [67236979, 61210085], [10095198, 83149022], [28850886, 658843], [41513690, 89541520], [32598603, 72866825], [20177299, 69706518], [44039075, 71253379], [72859137, 84891934], [90425473, 4587383], [99099413, 10610567], [51221966, 3927480], [47501128, 3575229], [63105846, 47374950], [23129020, 28368285], [87008728, 60797760], [21733719, 78559354], [27520099, 29115252], [94913146, 69782631], [52056176, 38595752], [43005088, 60679882], [82466453, 35933971], [30699907, 84715986], [5540108, 77492055], [69846137, 96534045], [56960349, 43343024], [84590669, 5039987], [52525891, 20182929], [96306317, 21102179], [69213879, 16674771], [17056381, 16633402], [53366634, 9725554], [94926649, 61036302], [99663803, 85444913], [75097296, 54291473], [2411918, 17592968], [65347758, 8731960], [74987207, 73547097], [98932111, 86547429], [89201291, 7233294], [92880348, 76797426], [34502365, 79268694], [65413595, 26867901], [59533158, 60317165], [22133944, 1558889], [22776548, 40895063], [28034909, 55742555], [52324840, 60916986], [55209960, 17049583], [49766671, 20936130], [33162313, 31115678], [84569131, 48936814], [3970176, 8150357], [46161418, 68737788], [36340037, 26955859], [55150307, 17550440], [53828037, 11688406], [149663, 78753373], [69926805, 11448242], [12786404, 84321383], [3755061, 90921596], [99954044, 62554825], [25613037, 45076192], [90876717, 52382648], [71723818, 89767718], [65379912, 6011264], [69969258, 31545208], [45547876, 88715738], [74212211, 58164751]])) + +test5 :: Test +test5 = TestCase (assertEqual "for (minimumDistance [[13431165, 56816431], [59650469, 63432691], [11516284, 82052279], [69127793, 24278477], [28709314, 27109596], [71696668, 26482486], [99571764, 98547363], [31818454, 72298459], [9343014, 86637163], [36636574, 80106036], [29685178, 67539976], [43536555, 51271970], [29041552, 31522528], [97063429, 87631164], [35550745, 5517425], [22225498, 29986050], [91303789, 45418689], [84454961, 52320044], [60489297, 63681784], [45965332, 63279115]])," 143626423 (minimumDistance [[13431165, 56816431], [59650469, 63432691], [11516284, 82052279], [69127793, 24278477], [28709314, 27109596], [71696668, 26482486], [99571764, 98547363], [31818454, 72298459], [9343014, 86637163], [36636574, 80106036], [29685178, 67539976], [43536555, 51271970], [29041552, 31522528], [97063429, 87631164], [35550745, 5517425], [22225498, 29986050], [91303789, 45418689], [84454961, 52320044], [60489297, 63681784], [45965332, 63279115]])) + +test6 :: Test +test6 = TestCase (assertEqual "for (minimumDistance [[26, 26], [14, 51], [10, 55], [14, 25], [30, 59], [88, 30], [80, 93], [8, 81], [16, 47], [13, 38], [62, 84], [33, 66], [66, 17], [90, 58], [71, 24]])," 131 (minimumDistance [[26, 26], [14, 51], [10, 55], [14, 25], [30, 59], [88, 30], [80, 93], [8, 81], [16, 47], [13, 38], [62, 84], [33, 66], [66, 17], [90, 58], [71, 24]])) + +test7 :: Test +test7 = TestCase (assertEqual "for (minimumDistance [[100, 100], [100, 100], [100, 100], [100, 100], [100, 100]])," 0 (minimumDistance [[100, 100], [100, 100], [100, 100], [100, 100], [100, 100]])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimize_manhattan_distances/java_tests/Main.java b/minimize_manhattan_distances/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..603d10aaac343a961d9e4db2985d97e2d61c7836 --- /dev/null +++ b/minimize_manhattan_distances/java_tests/Main.java @@ -0,0 +1,20 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(12, minimumDistance(Arrays.asList(Arrays.asList(3,10),Arrays.asList(5,15),Arrays.asList(10,2),Arrays.asList(4,4)))); +} +@Test +public void test2() { + assertEquals(0, minimumDistance(Arrays.asList(Arrays.asList(1,1),Arrays.asList(1,1),Arrays.asList(1,1)))); +} + +} diff --git a/minimize_manhattan_distances/meta.json b/minimize_manhattan_distances/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..1eec4c2c351e3b0debd344e79b5bf19ca1c8b166 --- /dev/null +++ b/minimize_manhattan_distances/meta.json @@ -0,0 +1,400224 @@ +{ + "id": 3344, + "name": "minimize_manhattan_distances", + "difficulty": "Hard", + "link": "https://leetcode.com/problems/minimize-manhattan-distances/", + "date": "2024-03-24 00:00:00", + "task_description": "You are given an array `points` representing integer coordinates of some points on a 2D plane, where `points[i] = [xi, yi]`. The distance between two points is defined as their Manhattan distance. Return _the **minimum** possible value for **maximum** distance between any two points by removing exactly one point_. **Example 1:** **Input:** points = [[3,10],[5,15],[10,2],[4,4]] **Output:** 12 **Explanation:** The maximum distance after removing each point is the following: After removing the 0th point the maximum distance is between points (5, 15) and (10, 2), which is `|5 - 10| + |15 - 2| = 18`. After removing the 1st point the maximum distance is between points (3, 10) and (10, 2), which is `|3 - 10| + |10 - 2| = 15`. After removing the 2nd point the maximum distance is between points (5, 15) and (4, 4), which is `|5 - 4| + |15 - 4| = 12`. After removing the 3rd point the maximum distance is between points (5, 15) and (10, 2), which is `|5 - 10| + |15 - 2| = 18`. 12 is the minimum possible maximum distance between any two points after removing exactly one point. **Example 2:** **Input:** points = [[1,1],[1,1],[1,1]] **Output:** 0 **Explanation:** Removing any of the points results in the maximum distance between any two points of 0. **Constraints:** `3 <= points.length <= 105` `points[i].length == 2` `1 <= points[i][0], points[i][1] <= 108`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "points = [[3,10],[5,15],[10,2],[4,4]]", + "output": "12 " + }, + { + "label": "Example 2", + "input": "points = [[1,1],[1,1],[1,1]]", + "output": "0 " + } + ], + "private_test_cases": [ + { + "input": [ + [ + 22291889, + 62223479 + ], + [ + 20133205, + 12454800 + ], + [ + 98966525, + 97979105 + ] + ], + "output": 51927363 + }, + { + "input": [ + [ + 60524669, + 99195537 + ], + [ + 37378551, + 14300009 + ], + [ + 32140740, + 2097506 + ], + [ + 49507707, + 2326044 + ], + [ + 76469935, + 48238154 + ], + [ + 55612334, + 51404665 + ], + [ + 65448799, + 98176793 + ], + [ + 19033101, + 84371599 + ], + [ + 65611802, + 57291950 + ], + [ + 40365227, + 48669746 + ], + [ + 3066472, + 4885187 + ], + [ + 89984748, + 26328215 + ], + [ + 53953738, + 39015072 + ], + [ + 11943073, + 83269394 + ], + [ + 62138154, + 36863537 + ], + [ + 47192624, + 68599111 + ], + [ + 11402048, + 87923070 + ], + [ + 39002549, + 48828255 + ], + [ + 45487396, + 84836799 + ], + [ + 17110206, + 58728525 + ], + [ + 49367833, + 11989602 + ], + [ + 41381581, + 41809172 + ], + [ + 57193356, + 17559448 + ], + [ + 23552704, + 27327996 + ], + [ + 3720166, + 4511437 + ], + [ + 6987273, + 4600353 + ], + [ + 14199919, + 15581273 + ], + [ + 26128754, + 51648681 + ], + [ + 56843299, + 44218314 + ], + [ + 9212778, + 14172237 + ], + [ + 17798312, + 41869433 + ], + [ + 91998981, + 80058038 + ], + [ + 57676822, + 90237537 + ], + [ + 70680043, + 39255155 + ], + [ + 5445602, + 75719802 + ], + [ + 71643804, + 5189496 + ], + [ + 59079896, + 6308231 + ], + [ + 21872456, + 33825381 + ], + [ + 88437209, + 22922960 + ], + [ + 51388021, + 40479723 + ], + [ + 87189304, + 66123356 + ], + [ + 69886996, + 8187080 + ], + [ + 98621673, + 73341981 + ], + [ + 98743606, + 25157569 + ], + [ + 69239644, + 33066082 + ], + [ + 91399814, + 32552112 + ], + [ + 51654854, + 12438259 + ], + [ + 69067641, + 15982093 + ], + [ + 9717389, + 92648788 + ], + [ + 86498312, + 6075012 + ], + [ + 45548765, + 74482332 + ], + [ + 87818036, + 10037309 + ], + [ + 95480436, + 18772838 + ], + [ + 15117845, + 97068766 + ], + [ + 47892039, + 65734900 + ], + [ + 82403456, + 85256915 + ], + [ + 25342469, + 18847175 + ], + [ + 62787806, + 76315415 + ], + [ + 32568139, + 93937922 + ], + [ + 27909738, + 73388017 + ], + [ + 487505, + 11727722 + ], + [ + 79251731, + 9626819 + ], + [ + 74025104, + 58246013 + ], + [ + 82556296, + 907645 + ], + [ + 48832761, + 86304722 + ], + [ + 35162427, + 14636906 + ], + [ + 42001927, + 989916 + ], + [ + 77749963, + 89717989 + ], + [ + 66376034, + 56890474 + ], + [ + 33927606, + 15822801 + ], + [ + 6061200, + 84955839 + ], + [ + 36002898, + 30167986 + ], + [ + 80456659, + 91227349 + ], + [ + 74145274, + 84728069 + ], + [ + 9991541, + 29355372 + ], + [ + 73207014, + 64696562 + ], + [ + 92127011, + 63182276 + ], + [ + 35995852, + 16947103 + ], + [ + 97048939, + 7493356 + ], + [ + 18735514, + 46317951 + ], + [ + 70313855, + 1982102 + ], + [ + 54988329, + 79966597 + ], + [ + 178700, + 50009169 + ], + [ + 50044868, + 2509805 + ], + [ + 96901694, + 45979744 + ], + [ + 52025338, + 63694596 + ], + [ + 36282639, + 24020455 + ], + [ + 41737212, + 77615889 + ], + [ + 82157534, + 79234044 + ], + [ + 63075607, + 83044629 + ], + [ + 17403457, + 14848058 + ], + [ + 73493994, + 5717875 + ], + [ + 902148, + 94181959 + ], + [ + 71072694, + 45926397 + ], + [ + 1848675, + 55362026 + ], + [ + 21108206, + 94165461 + ], + [ + 48938565, + 14859701 + ], + [ + 28363093, + 9667314 + ], + [ + 97649057, + 44497213 + ], + [ + 7132263, + 53849356 + ], + [ + 71530788, + 44884105 + ], + [ + 50949739, + 65705678 + ], + [ + 85731231, + 22807758 + ], + [ + 54363062, + 21766035 + ], + [ + 67746949, + 5448769 + ], + [ + 61427501, + 4963147 + ], + [ + 48530251, + 88225458 + ], + [ + 4295255, + 53523557 + ], + [ + 31588106, + 71063292 + ], + [ + 7325718, + 37271668 + ], + [ + 45140960, + 72395923 + ], + [ + 79827240, + 8383336 + ], + [ + 31043336, + 64991580 + ], + [ + 69684638, + 52269595 + ], + [ + 4256991, + 20579648 + ], + [ + 17343711, + 30905435 + ], + [ + 72363577, + 72875136 + ], + [ + 21498545, + 12921220 + ], + [ + 35415442, + 63259930 + ], + [ + 93201737, + 20148305 + ], + [ + 44914160, + 34336093 + ], + [ + 81433194, + 46039598 + ], + [ + 13130426, + 34161003 + ], + [ + 80540752, + 6936152 + ], + [ + 74619141, + 12321156 + ], + [ + 927431, + 78048283 + ], + [ + 88918147, + 43453305 + ], + [ + 29379760, + 31987515 + ], + [ + 56194728, + 83723240 + ], + [ + 87166745, + 28864369 + ], + [ + 36846675, + 42250293 + ], + [ + 48015599, + 37699462 + ], + [ + 13320157, + 76836692 + ], + [ + 1886008, + 87749728 + ], + [ + 97841796, + 70394149 + ], + [ + 65095011, + 52991581 + ], + [ + 45786863, + 11198196 + ], + [ + 81395640, + 72619149 + ], + [ + 66199131, + 17612564 + ], + [ + 18755613, + 57560156 + ], + [ + 1748180, + 15350356 + ], + [ + 14138318, + 92743153 + ], + [ + 8607881, + 99572467 + ], + [ + 76829297, + 1394134 + ], + [ + 76780277, + 19809076 + ], + [ + 6997208, + 887849 + ], + [ + 51538384, + 36191168 + ], + [ + 79276460, + 40616358 + ], + [ + 92034567, + 83745099 + ], + [ + 88830790, + 98946886 + ], + [ + 74458136, + 79396605 + ], + [ + 86943704, + 72095327 + ], + [ + 15010193, + 74414064 + ], + [ + 23596690, + 23370960 + ], + [ + 48511600, + 27599945 + ], + [ + 55231175, + 11078193 + ], + [ + 16898162, + 1921478 + ], + [ + 19036624, + 43844650 + ], + [ + 19299596, + 3810320 + ], + [ + 91224374, + 83957766 + ], + [ + 80675377, + 6634983 + ], + [ + 61133966, + 83040095 + ], + [ + 39943009, + 65542858 + ], + [ + 66475163, + 12245164 + ], + [ + 73637246, + 74284452 + ], + [ + 96679141, + 66363340 + ], + [ + 61460511, + 75635594 + ], + [ + 84785467, + 53842609 + ], + [ + 76731117, + 31139372 + ], + [ + 3732800, + 83736895 + ], + [ + 66934586, + 39605462 + ], + [ + 6469432, + 14202803 + ], + [ + 6405588, + 62459749 + ], + [ + 91178245, + 36933840 + ], + [ + 5328525, + 80598594 + ], + [ + 20540491, + 1562065 + ], + [ + 69939945, + 59305797 + ], + [ + 22375487, + 79487237 + ], + [ + 62141074, + 18852610 + ], + [ + 64559460, + 67021985 + ], + [ + 18345485, + 18942982 + ], + [ + 62031523, + 67570044 + ], + [ + 72370910, + 75832832 + ], + [ + 22231428, + 82300152 + ], + [ + 19557217, + 16588141 + ], + [ + 18325222, + 78966880 + ], + [ + 18532929, + 17598631 + ], + [ + 70201602, + 21930474 + ], + [ + 44398197, + 69806122 + ], + [ + 27767608, + 7575229 + ], + [ + 49354092, + 65977358 + ], + [ + 52158406, + 89434528 + ], + [ + 42610553, + 35217253 + ], + [ + 96833810, + 1781337 + ], + [ + 89477198, + 93753790 + ], + [ + 68601673, + 88930896 + ], + [ + 20859961, + 2693799 + ], + [ + 97853221, + 28659100 + ], + [ + 22851344, + 72960817 + ], + [ + 73804148, + 65120296 + ], + [ + 90714314, + 48501285 + ], + [ + 66123790, + 45458787 + ], + [ + 39416422, + 82029582 + ], + [ + 20480889, + 26030141 + ], + [ + 76809867, + 86780140 + ], + [ + 75183674, + 46032975 + ], + [ + 72523887, + 31788654 + ], + [ + 52027541, + 3954131 + ], + [ + 64464681, + 45577989 + ], + [ + 46582060, + 15816375 + ], + [ + 75620885, + 69914836 + ], + [ + 3349625, + 88177709 + ], + [ + 34755436, + 93351918 + ], + [ + 55706058, + 53155922 + ], + [ + 83777286, + 23587155 + ], + [ + 14284465, + 18041383 + ], + [ + 83843073, + 89236979 + ], + [ + 25488479, + 17250320 + ], + [ + 90632883, + 32945340 + ], + [ + 84894587, + 69009605 + ], + [ + 69251702, + 88501561 + ], + [ + 28612343, + 95548889 + ], + [ + 90687249, + 63525017 + ], + [ + 1139728, + 50124349 + ], + [ + 94896437, + 11604725 + ], + [ + 64560475, + 77355600 + ], + [ + 25851335, + 17601759 + ], + [ + 15358472, + 51007258 + ], + [ + 53425069, + 45049523 + ], + [ + 2211617, + 70913898 + ], + [ + 40699384, + 79019897 + ], + [ + 47926543, + 71248519 + ], + [ + 3568219, + 85494033 + ], + [ + 79024920, + 86900352 + ], + [ + 10177920, + 34865123 + ], + [ + 82670596, + 81013414 + ], + [ + 33739196, + 93787556 + ], + [ + 5356836, + 49626877 + ], + [ + 85525980, + 26107609 + ], + [ + 90698042, + 6401501 + ], + [ + 18365574, + 43619727 + ], + [ + 16738278, + 25875174 + ], + [ + 98258833, + 12925993 + ], + [ + 48209930, + 40255339 + ], + [ + 22710780, + 3748951 + ], + [ + 43434251, + 56034452 + ], + [ + 61297840, + 99831872 + ], + [ + 62758236, + 26452926 + ], + [ + 9460990, + 35828717 + ], + [ + 54419937, + 86504512 + ], + [ + 70851693, + 59409515 + ], + [ + 24640681, + 78461190 + ], + [ + 50581932, + 30686280 + ], + [ + 69185666, + 19049908 + ], + [ + 44230401, + 51407033 + ], + [ + 63613305, + 3739235 + ], + [ + 7764096, + 3011927 + ], + [ + 32282852, + 21638890 + ], + [ + 20062250, + 38622881 + ], + [ + 53330496, + 44572893 + ], + [ + 39254633, + 68921699 + ], + [ + 73622862, + 22342384 + ], + [ + 6946121, + 12607402 + ], + [ + 51211300, + 10044221 + ], + [ + 24497687, + 52304183 + ], + [ + 61355299, + 2945373 + ], + [ + 67253778, + 94565756 + ], + [ + 88383221, + 54373368 + ], + [ + 5186461, + 78165187 + ], + [ + 16866300, + 24107213 + ], + [ + 88132927, + 44585071 + ], + [ + 42612109, + 39984606 + ], + [ + 60236404, + 37702556 + ], + [ + 14081932, + 91791867 + ], + [ + 1417179, + 67330758 + ], + [ + 90326563, + 58307226 + ], + [ + 1975816, + 73621985 + ], + [ + 58506057, + 3504043 + ], + [ + 60197340, + 84173255 + ], + [ + 83863159, + 68599989 + ], + [ + 27722001, + 83496136 + ], + [ + 94678255, + 66477626 + ], + [ + 73706831, + 94159064 + ], + [ + 99805725, + 85363216 + ], + [ + 59276548, + 80857384 + ], + [ + 68686576, + 80602939 + ], + [ + 88713399, + 58484076 + ], + [ + 57229617, + 57869186 + ], + [ + 52029517, + 91324733 + ], + [ + 22547831, + 42542993 + ], + [ + 94760364, + 91345181 + ], + [ + 50300419, + 58414028 + ], + [ + 15093409, + 68926982 + ], + [ + 11092291, + 5244654 + ], + [ + 93831169, + 43797189 + ], + [ + 19783837, + 74728745 + ], + [ + 27186472, + 97588867 + ], + [ + 89656054, + 38210364 + ], + [ + 28746907, + 60692493 + ], + [ + 23440360, + 76982361 + ], + [ + 12435379, + 18630099 + ], + [ + 20667683, + 83634822 + ], + [ + 81798523, + 82846321 + ], + [ + 52895455, + 36044015 + ], + [ + 90046330, + 87120465 + ], + [ + 87315459, + 90881034 + ], + [ + 80782570, + 7883806 + ], + [ + 46259294, + 32109637 + ], + [ + 80988482, + 63593059 + ], + [ + 22944683, + 68347726 + ], + [ + 72139523, + 39737416 + ], + [ + 29187698, + 6141522 + ], + [ + 53023219, + 95546815 + ], + [ + 86648437, + 73046914 + ], + [ + 32369246, + 19973548 + ], + [ + 59530561, + 27610220 + ], + [ + 72057765, + 86338398 + ], + [ + 58347670, + 99006229 + ], + [ + 36669184, + 62754471 + ], + [ + 21785130, + 75669034 + ], + [ + 11011197, + 75453762 + ], + [ + 37337703, + 95381597 + ], + [ + 7465133, + 81454353 + ], + [ + 63168095, + 72707244 + ], + [ + 23541594, + 22972528 + ], + [ + 86740184, + 51330348 + ], + [ + 20921140, + 67056895 + ], + [ + 45419088, + 88058220 + ], + [ + 72598539, + 5596550 + ], + [ + 65356856, + 70721235 + ], + [ + 6049506, + 53308003 + ], + [ + 55555011, + 12706328 + ], + [ + 84490573, + 92673719 + ], + [ + 45276661, + 16643075 + ], + [ + 53726424, + 67306805 + ], + [ + 61295333, + 2796131 + ], + [ + 30026792, + 8518336 + ], + [ + 28966108, + 19266176 + ], + [ + 32209656, + 20130471 + ], + [ + 57735177, + 56662500 + ], + [ + 74878540, + 62624972 + ], + [ + 72824700, + 3958580 + ], + [ + 47973572, + 57279629 + ], + [ + 96922084, + 34447459 + ], + [ + 59776938, + 48881608 + ], + [ + 30079407, + 74419091 + ], + [ + 41131230, + 49345764 + ], + [ + 14913366, + 42782458 + ], + [ + 64136452, + 52541659 + ], + [ + 63859828, + 88521047 + ], + [ + 47966543, + 94926553 + ], + [ + 10422605, + 67691487 + ], + [ + 41690329, + 77926696 + ], + [ + 97957580, + 10068404 + ], + [ + 58315804, + 95787510 + ], + [ + 25461931, + 84566148 + ], + [ + 51456491, + 71480438 + ], + [ + 20267578, + 44266743 + ], + [ + 56772042, + 66116470 + ], + [ + 64071461, + 65836660 + ], + [ + 52106038, + 99070948 + ], + [ + 98330318, + 2993881 + ], + [ + 84614430, + 52620720 + ], + [ + 53317068, + 12004298 + ], + [ + 42232045, + 72410711 + ], + [ + 97493875, + 54725804 + ], + [ + 44679887, + 49482376 + ], + [ + 61007697, + 16773447 + ], + [ + 78842171, + 5538954 + ], + [ + 39198545, + 55162467 + ], + [ + 1345938, + 44386828 + ], + [ + 63482940, + 41190308 + ], + [ + 38638795, + 83879491 + ], + [ + 87581836, + 80872792 + ], + [ + 47935066, + 37390831 + ], + [ + 61702303, + 10897835 + ], + [ + 9485710, + 92588688 + ], + [ + 10373034, + 74435700 + ], + [ + 96031388, + 77745935 + ], + [ + 74119367, + 27690201 + ], + [ + 24042577, + 94393453 + ], + [ + 66149335, + 42447831 + ], + [ + 14755382, + 42019172 + ], + [ + 86411589, + 97069605 + ], + [ + 80877169, + 26721077 + ], + [ + 82698027, + 278169 + ], + [ + 23009785, + 77218407 + ], + [ + 24536051, + 25489417 + ], + [ + 76316699, + 82482965 + ], + [ + 45351341, + 4275344 + ], + [ + 32723231, + 42409503 + ], + [ + 39018759, + 51494447 + ], + [ + 80047012, + 24314773 + ], + [ + 52615351, + 18496507 + ], + [ + 78852572, + 13389803 + ], + [ + 52071754, + 17258692 + ], + [ + 65223597, + 78901973 + ], + [ + 63173671, + 94021543 + ], + [ + 57717845, + 81526459 + ], + [ + 3777849, + 83539721 + ], + [ + 230984, + 80108479 + ], + [ + 79837059, + 33841251 + ], + [ + 48894108, + 70715457 + ], + [ + 11396650, + 24468610 + ], + [ + 61150157, + 74208064 + ], + [ + 37040060, + 2568717 + ], + [ + 24506766, + 54972038 + ], + [ + 61788006, + 83988072 + ], + [ + 34682665, + 84342464 + ], + [ + 25163485, + 88801988 + ], + [ + 46832989, + 95371423 + ], + [ + 46993104, + 16222435 + ], + [ + 7783235, + 29726230 + ], + [ + 56665149, + 69285338 + ], + [ + 38801926, + 11554915 + ], + [ + 18923213, + 38108500 + ], + [ + 24276011, + 29740595 + ], + [ + 75552807, + 95183196 + ], + [ + 59682133, + 66748700 + ], + [ + 39369993, + 20169239 + ], + [ + 1529252, + 6021243 + ], + [ + 61811706, + 78333540 + ], + [ + 80548951, + 56471949 + ], + [ + 64725154, + 7762949 + ], + [ + 49686549, + 94093555 + ], + [ + 25229372, + 36506652 + ], + [ + 84582937, + 24645599 + ], + [ + 84526962, + 66494554 + ], + [ + 19269863, + 59222417 + ], + [ + 29975237, + 12070078 + ], + [ + 68367951, + 1812325 + ], + [ + 40297757, + 56841453 + ], + [ + 73766261, + 44705387 + ], + [ + 62810654, + 67749446 + ], + [ + 837896, + 95640119 + ], + [ + 46089622, + 46947158 + ], + [ + 38171060, + 52170391 + ], + [ + 92524623, + 48350723 + ], + [ + 66183846, + 57967368 + ], + [ + 85675089, + 13047597 + ], + [ + 38644837, + 44490492 + ], + [ + 22885726, + 74912805 + ], + [ + 92129039, + 88418369 + ], + [ + 7597193, + 47895541 + ], + [ + 27883875, + 80617739 + ], + [ + 18085547, + 79396249 + ], + [ + 78693900, + 75075268 + ], + [ + 6001623, + 98737126 + ], + [ + 45933231, + 30004615 + ], + [ + 72144268, + 76945294 + ], + [ + 1534942, + 29591559 + ], + [ + 10868200, + 60713807 + ], + [ + 95126933, + 12539811 + ], + [ + 81547493, + 59992396 + ], + [ + 11843715, + 47292989 + ], + [ + 7248123, + 75831734 + ], + [ + 29582364, + 30258119 + ], + [ + 77037680, + 95985295 + ], + [ + 16885191, + 11326404 + ], + [ + 45905745, + 36656228 + ], + [ + 26777581, + 23581621 + ], + [ + 32055774, + 67518453 + ], + [ + 83261708, + 13789005 + ], + [ + 482520, + 46749996 + ], + [ + 47541025, + 62237348 + ], + [ + 36128165, + 17038323 + ], + [ + 69169631, + 32173079 + ], + [ + 42698726, + 34232996 + ], + [ + 24110017, + 40340630 + ], + [ + 96560439, + 15774505 + ], + [ + 24622371, + 13438031 + ], + [ + 45027658, + 43766976 + ], + [ + 90610431, + 74811318 + ], + [ + 50756345, + 3506915 + ], + [ + 89920944, + 6859139 + ], + [ + 5601034, + 6422721 + ], + [ + 90467044, + 8148764 + ], + [ + 75813250, + 32724728 + ], + [ + 78539227, + 84725676 + ], + [ + 11856517, + 61131412 + ], + [ + 42858951, + 20884141 + ], + [ + 79191343, + 95907243 + ], + [ + 73642246, + 71514670 + ], + [ + 9411577, + 18907088 + ], + [ + 39807202, + 49201972 + ], + [ + 58834613, + 17755345 + ], + [ + 95025910, + 23452681 + ], + [ + 2791604, + 25678953 + ], + [ + 28306063, + 21804946 + ], + [ + 21661417, + 49912017 + ], + [ + 29869075, + 98776034 + ], + [ + 6943317, + 21658023 + ], + [ + 62213496, + 99938593 + ], + [ + 41442680, + 57543079 + ], + [ + 63361558, + 79370929 + ], + [ + 77469779, + 35727338 + ], + [ + 75658920, + 10169312 + ], + [ + 45767619, + 81198287 + ], + [ + 46589226, + 6839519 + ], + [ + 61678749, + 90661119 + ], + [ + 53335636, + 67455512 + ], + [ + 7143772, + 46566923 + ], + [ + 17606559, + 73284705 + ], + [ + 93455223, + 8457388 + ], + [ + 39992505, + 47528602 + ], + [ + 26991707, + 20813320 + ], + [ + 69967678, + 45383366 + ], + [ + 85939793, + 10587939 + ], + [ + 67768920, + 53499953 + ], + [ + 71863693, + 6316967 + ], + [ + 10958, + 43979850 + ], + [ + 98094218, + 32249639 + ], + [ + 57798478, + 93243047 + ], + [ + 71644923, + 49202041 + ], + [ + 55981539, + 80933503 + ], + [ + 11931612, + 43930033 + ], + [ + 45087265, + 25772820 + ], + [ + 39687680, + 83234859 + ], + [ + 70384571, + 59289755 + ], + [ + 3739884, + 59670733 + ], + [ + 4403435, + 6604084 + ], + [ + 6611800, + 40551489 + ], + [ + 58014331, + 68817725 + ], + [ + 66930304, + 87010548 + ], + [ + 57227958, + 93582033 + ], + [ + 19817697, + 62453129 + ], + [ + 70380568, + 56273248 + ], + [ + 20086423, + 54105488 + ], + [ + 66846137, + 70273894 + ], + [ + 42408659, + 89933394 + ], + [ + 24659267, + 92959329 + ], + [ + 16831853, + 25010969 + ], + [ + 90710189, + 96132177 + ], + [ + 41467676, + 60945821 + ], + [ + 29384761, + 77994127 + ], + [ + 23735958, + 26901661 + ], + [ + 76391002, + 2010294 + ], + [ + 35094151, + 66804766 + ], + [ + 14241263, + 86236149 + ], + [ + 26497960, + 35407906 + ], + [ + 17024544, + 67964826 + ], + [ + 96464808, + 70871412 + ], + [ + 9951236, + 86700553 + ], + [ + 68974332, + 50115776 + ], + [ + 68778741, + 66209968 + ], + [ + 91683531, + 73113780 + ], + [ + 55058878, + 17695921 + ], + [ + 82793014, + 17153484 + ], + [ + 99920313, + 22271702 + ], + [ + 7441725, + 46831325 + ], + [ + 40657208, + 24731909 + ], + [ + 90657326, + 77269087 + ], + [ + 37331955, + 29768325 + ], + [ + 64851603, + 37309387 + ], + [ + 63921171, + 77776932 + ], + [ + 38142491, + 60850386 + ], + [ + 91360405, + 13513584 + ], + [ + 9439188, + 20329677 + ], + [ + 316129, + 73562327 + ], + [ + 49252496, + 43595447 + ], + [ + 45389836, + 40541934 + ], + [ + 91470726, + 96329554 + ], + [ + 12408286, + 85303445 + ], + [ + 52673360, + 61414340 + ], + [ + 82512517, + 5413685 + ], + [ + 36824719, + 23280719 + ], + [ + 50208079, + 58624249 + ], + [ + 11141672, + 9282859 + ], + [ + 93360177, + 84533594 + ], + [ + 96189037, + 74390886 + ], + [ + 13475832, + 21013358 + ], + [ + 16170583, + 58441644 + ], + [ + 55457508, + 56987146 + ], + [ + 87749553, + 32916197 + ], + [ + 94734630, + 59963640 + ], + [ + 1993670, + 74821170 + ], + [ + 45824208, + 1662584 + ], + [ + 81266945, + 92060063 + ], + [ + 45513585, + 61235441 + ], + [ + 7255143, + 92076928 + ], + [ + 80040304, + 15836520 + ], + [ + 77763869, + 23039201 + ], + [ + 75741877, + 50062758 + ], + [ + 77069126, + 16920481 + ], + [ + 46451142, + 47362438 + ], + [ + 31987815, + 99456098 + ], + [ + 72620802, + 8228019 + ], + [ + 27698605, + 49934312 + ], + [ + 80206933, + 37165571 + ], + [ + 36481695, + 66804574 + ], + [ + 18208504, + 98787842 + ], + [ + 40894651, + 25609502 + ], + [ + 84537537, + 63492701 + ], + [ + 97021095, + 94657981 + ], + [ + 73256816, + 9685981 + ], + [ + 42446503, + 23504697 + ], + [ + 57908276, + 55257136 + ], + [ + 75474638, + 12943787 + ], + [ + 64176814, + 3116164 + ], + [ + 30477781, + 57635789 + ], + [ + 2016894, + 1567172 + ], + [ + 31313698, + 85982251 + ], + [ + 39359802, + 96591426 + ], + [ + 94300056, + 47689994 + ], + [ + 30017024, + 86934156 + ], + [ + 39675572, + 41200687 + ], + [ + 76220995, + 50852642 + ], + [ + 65346577, + 64371159 + ], + [ + 65470929, + 18768173 + ], + [ + 25522946, + 3358148 + ], + [ + 1218560, + 76708175 + ], + [ + 61294427, + 59133264 + ], + [ + 83315286, + 87350396 + ], + [ + 32326605, + 93155900 + ], + [ + 70308858, + 6982466 + ], + [ + 31791553, + 27792293 + ], + [ + 11690781, + 9503788 + ], + [ + 72738716, + 47114035 + ], + [ + 90158599, + 30842626 + ], + [ + 46762960, + 98749251 + ], + [ + 87211618, + 1065221 + ], + [ + 60491916, + 78791186 + ], + [ + 69094327, + 98908725 + ], + [ + 66070281, + 84792138 + ], + [ + 5250085, + 71667036 + ], + [ + 2915802, + 96500661 + ], + [ + 34096587, + 58126341 + ], + [ + 61563015, + 64705111 + ], + [ + 57861070, + 22389604 + ], + [ + 22004701, + 67088226 + ], + [ + 17967345, + 8986423 + ], + [ + 61582336, + 53885902 + ], + [ + 54735321, + 57722883 + ], + [ + 45804970, + 54946372 + ], + [ + 38614917, + 28426517 + ], + [ + 34407109, + 89474674 + ], + [ + 94239429, + 20909764 + ], + [ + 56574249, + 43764655 + ], + [ + 34718303, + 22341152 + ], + [ + 48330758, + 723148 + ], + [ + 70991048, + 58861517 + ], + [ + 44440344, + 31794581 + ], + [ + 15547109, + 74142809 + ], + [ + 8436461, + 11090591 + ], + [ + 88196461, + 17481777 + ], + [ + 29554211, + 34611112 + ], + [ + 10895246, + 32672844 + ], + [ + 40113430, + 61676241 + ], + [ + 98444716, + 14366247 + ], + [ + 61254647, + 41475283 + ], + [ + 32932816, + 4417581 + ], + [ + 64645764, + 62260644 + ], + [ + 20759744, + 28859675 + ], + [ + 16589659, + 10307700 + ], + [ + 94406948, + 33209123 + ], + [ + 55923764, + 42649031 + ], + [ + 56641322, + 89334932 + ], + [ + 26825208, + 54934959 + ], + [ + 43260377, + 86503778 + ], + [ + 53088009, + 25050237 + ], + [ + 12284527, + 2472183 + ], + [ + 25213268, + 91581673 + ], + [ + 74019913, + 15538107 + ], + [ + 13224679, + 43519108 + ], + [ + 23818346, + 85219770 + ], + [ + 32209288, + 38146197 + ], + [ + 81429104, + 26551404 + ], + [ + 19612594, + 14126093 + ], + [ + 67100377, + 24441228 + ], + [ + 12604038, + 76999678 + ], + [ + 28809535, + 17418416 + ], + [ + 80921667, + 79402605 + ], + [ + 77402724, + 74635312 + ], + [ + 19307426, + 50964664 + ], + [ + 80615164, + 40130701 + ], + [ + 66257325, + 98385424 + ], + [ + 60143375, + 49084725 + ], + [ + 81407659, + 47832920 + ], + [ + 53039103, + 26980108 + ], + [ + 74965644, + 75520921 + ], + [ + 66266773, + 72064177 + ], + [ + 2372725, + 66475066 + ], + [ + 66486272, + 41266710 + ], + [ + 13858069, + 65060307 + ], + [ + 89348624, + 1130330 + ], + [ + 6195411, + 48337535 + ], + [ + 24953204, + 29351535 + ], + [ + 85648086, + 94994416 + ], + [ + 82373745, + 84540337 + ], + [ + 69839690, + 381102 + ], + [ + 49481828, + 25612859 + ], + [ + 26333726, + 17878831 + ], + [ + 33737008, + 34425751 + ], + [ + 66622784, + 73584089 + ], + [ + 27206019, + 56301333 + ], + [ + 97580536, + 52388866 + ], + [ + 21576190, + 28216731 + ], + [ + 31423448, + 44992143 + ], + [ + 18690922, + 96677300 + ], + [ + 13683818, + 70926412 + ], + [ + 27274633, + 26195422 + ], + [ + 52166821, + 9798700 + ], + [ + 29752828, + 80259074 + ], + [ + 604460, + 94638311 + ], + [ + 20641774, + 46826622 + ], + [ + 55515736, + 71265322 + ], + [ + 35129941, + 71180021 + ], + [ + 64830397, + 11984332 + ], + [ + 93452100, + 55526051 + ], + [ + 43194858, + 59360934 + ], + [ + 24502950, + 94904985 + ], + [ + 25907399, + 68361554 + ], + [ + 1459541, + 14952941 + ], + [ + 41531592, + 2176286 + ], + [ + 44366121, + 20390453 + ], + [ + 52910206, + 55685061 + ], + [ + 15855207, + 50547508 + ], + [ + 53951778, + 52131155 + ], + [ + 28715708, + 74190641 + ], + [ + 64139854, + 73784375 + ], + [ + 11998301, + 7813668 + ], + [ + 85206154, + 16842306 + ], + [ + 66639448, + 6673888 + ], + [ + 81252892, + 29600462 + ], + [ + 93313408, + 20220165 + ], + [ + 3760128, + 16785182 + ], + [ + 24052544, + 91396446 + ], + [ + 34941744, + 90255627 + ], + [ + 96636334, + 21493675 + ], + [ + 55246088, + 54692526 + ], + [ + 40226734, + 95834717 + ], + [ + 17687, + 89759578 + ], + [ + 71598574, + 48420041 + ], + [ + 51625554, + 22336766 + ], + [ + 490508, + 20986130 + ], + [ + 92561868, + 96483452 + ], + [ + 52192228, + 58514626 + ], + [ + 81024544, + 68331251 + ], + [ + 1901581, + 31466550 + ], + [ + 59639641, + 94996372 + ], + [ + 3150093, + 36247759 + ], + [ + 34840693, + 16380408 + ], + [ + 84331380, + 70267378 + ], + [ + 6353659, + 26909850 + ], + [ + 19438546, + 15317776 + ], + [ + 15880683, + 63949838 + ], + [ + 18822321, + 46874363 + ], + [ + 12858880, + 34500403 + ], + [ + 33534955, + 2551774 + ], + [ + 49603165, + 70762195 + ], + [ + 63559580, + 38652168 + ], + [ + 46645341, + 4678951 + ], + [ + 12443341, + 40926384 + ], + [ + 59870932, + 57931472 + ], + [ + 55681234, + 20130475 + ], + [ + 97211367, + 39864519 + ], + [ + 8175987, + 71351954 + ], + [ + 64722662, + 93079719 + ], + [ + 68658756, + 46971220 + ], + [ + 92159014, + 26429871 + ], + [ + 62409756, + 33285114 + ], + [ + 5360568, + 31642874 + ], + [ + 17057186, + 33095278 + ], + [ + 28734220, + 49824868 + ], + [ + 39838666, + 58856547 + ], + [ + 97305167, + 27872833 + ], + [ + 72364028, + 16850085 + ], + [ + 90313117, + 66665623 + ], + [ + 72309696, + 64215429 + ], + [ + 73676098, + 33624045 + ], + [ + 28245713, + 80871431 + ], + [ + 54808887, + 78254036 + ], + [ + 55207593, + 23560758 + ], + [ + 80057370, + 33999691 + ], + [ + 70365820, + 67985705 + ], + [ + 27375764, + 90311893 + ], + [ + 27106537, + 74705586 + ], + [ + 65477664, + 53069283 + ], + [ + 5312260, + 18137950 + ], + [ + 21598479, + 95419219 + ], + [ + 93447023, + 63755253 + ], + [ + 85776962, + 66776150 + ], + [ + 47805117, + 78880238 + ], + [ + 34724166, + 73256289 + ], + [ + 13340284, + 49960427 + ], + [ + 21327859, + 69614407 + ], + [ + 58290386, + 6627351 + ], + [ + 5009459, + 63988625 + ], + [ + 97493560, + 51542290 + ], + [ + 94011044, + 78369943 + ], + [ + 10939315, + 295549 + ], + [ + 24567690, + 34248775 + ], + [ + 44416943, + 71283852 + ], + [ + 32727938, + 32980955 + ], + [ + 188120, + 25746515 + ], + [ + 25780041, + 90395192 + ], + [ + 34638388, + 27921349 + ], + [ + 98064244, + 63820857 + ], + [ + 11158811, + 53887043 + ], + [ + 4269515, + 14662106 + ], + [ + 64079078, + 13170759 + ], + [ + 57918228, + 22707674 + ], + [ + 82908914, + 783628 + ], + [ + 56505110, + 91052617 + ], + [ + 12108152, + 22224760 + ], + [ + 45203881, + 61257231 + ], + [ + 79212129, + 4497165 + ], + [ + 21268697, + 59475083 + ], + [ + 18819693, + 95283674 + ], + [ + 18791040, + 6096654 + ], + [ + 5870717, + 19692973 + ], + [ + 11267266, + 24941586 + ], + [ + 63658476, + 2065411 + ], + [ + 35726133, + 18317777 + ], + [ + 96586891, + 99019173 + ], + [ + 65656488, + 90558960 + ], + [ + 15547483, + 31757701 + ], + [ + 85676560, + 77515890 + ], + [ + 61348463, + 38027794 + ], + [ + 18732851, + 20935968 + ], + [ + 14712726, + 15681902 + ], + [ + 85167432, + 91818203 + ], + [ + 53955470, + 88274152 + ], + [ + 99154531, + 6246004 + ], + [ + 10671773, + 10246019 + ], + [ + 52359673, + 92081980 + ], + [ + 49548983, + 98760992 + ], + [ + 8490667, + 40907651 + ], + [ + 98486872, + 44614724 + ], + [ + 31165786, + 47721122 + ], + [ + 18383802, + 36290431 + ], + [ + 97909772, + 39703187 + ], + [ + 8218208, + 85856259 + ], + [ + 81992029, + 74299502 + ], + [ + 3612489, + 42252982 + ], + [ + 36860288, + 31336513 + ], + [ + 39571091, + 94002758 + ], + [ + 31370170, + 16871474 + ], + [ + 74215376, + 38285212 + ], + [ + 588947, + 35312379 + ], + [ + 13057146, + 11098314 + ], + [ + 79633293, + 54476641 + ], + [ + 36565230, + 18811350 + ], + [ + 44792061, + 36056993 + ], + [ + 25232167, + 12836543 + ], + [ + 23364465, + 47286445 + ], + [ + 77188867, + 7309199 + ], + [ + 96702032, + 60005390 + ], + [ + 68195923, + 74400537 + ], + [ + 71914983, + 23210574 + ], + [ + 8805393, + 79112441 + ], + [ + 98762363, + 55688214 + ], + [ + 27370420, + 1627721 + ], + [ + 95991217, + 4221404 + ], + [ + 49799509, + 34019680 + ], + [ + 44681582, + 7763969 + ], + [ + 98532765, + 37586819 + ], + [ + 94555198, + 69350453 + ], + [ + 30976407, + 13335011 + ], + [ + 53463472, + 7011607 + ], + [ + 9513137, + 64383151 + ], + [ + 94568126, + 20444370 + ], + [ + 40877329, + 72461091 + ], + [ + 34737556, + 74805676 + ], + [ + 32886147, + 14739941 + ], + [ + 14648976, + 7103138 + ], + [ + 66289858, + 37094465 + ], + [ + 2189561, + 68292174 + ], + [ + 74332194, + 90278922 + ], + [ + 21047859, + 66930553 + ], + [ + 13949563, + 89511635 + ], + [ + 1754029, + 27128459 + ], + [ + 23616239, + 21256182 + ], + [ + 10182214, + 43674755 + ], + [ + 73003682, + 62054723 + ], + [ + 83648095, + 42102187 + ], + [ + 4657159, + 52639423 + ], + [ + 60901466, + 59646291 + ], + [ + 22361844, + 24586631 + ], + [ + 25768966, + 6192099 + ], + [ + 68048534, + 72358549 + ], + [ + 58846357, + 60030986 + ], + [ + 71025239, + 93131845 + ], + [ + 36873139, + 21469275 + ], + [ + 67105093, + 45787457 + ], + [ + 27207608, + 66766643 + ], + [ + 9142830, + 17188765 + ], + [ + 84405785, + 5506779 + ], + [ + 76088096, + 82528010 + ], + [ + 79082444, + 57625155 + ], + [ + 14762618, + 11924942 + ], + [ + 54382733, + 24059835 + ], + [ + 66069913, + 25600509 + ], + [ + 36798182, + 16598069 + ], + [ + 96319307, + 25738073 + ], + [ + 52204675, + 67119240 + ], + [ + 69915698, + 41778361 + ], + [ + 75679454, + 8620902 + ], + [ + 82420905, + 87343228 + ], + [ + 21510652, + 27921431 + ], + [ + 56242162, + 95593279 + ], + [ + 87055316, + 96665798 + ], + [ + 44276656, + 40181348 + ], + [ + 5275464, + 20374454 + ], + [ + 16685558, + 722070 + ], + [ + 76435155, + 60089736 + ], + [ + 64621079, + 68586105 + ], + [ + 98204086, + 84187336 + ], + [ + 22312710, + 84835572 + ], + [ + 74654031, + 4206002 + ], + [ + 74435307, + 90283484 + ], + [ + 35732640, + 11447873 + ], + [ + 93099517, + 29285786 + ], + [ + 12784022, + 86003435 + ], + [ + 49740443, + 39238519 + ], + [ + 13498328, + 89311025 + ], + [ + 93323318, + 33583499 + ], + [ + 13536026, + 48936189 + ], + [ + 46420195, + 95547531 + ], + [ + 45141546, + 11874127 + ], + [ + 42682382, + 77902806 + ], + [ + 33036454, + 17254785 + ], + [ + 77763086, + 10714486 + ], + [ + 3783965, + 56294937 + ], + [ + 20573501, + 25881934 + ], + [ + 89460120, + 74283743 + ], + [ + 44543132, + 69532203 + ], + [ + 87666615, + 96107506 + ], + [ + 11801092, + 40356873 + ], + [ + 36599184, + 15417048 + ], + [ + 9085665, + 6567456 + ], + [ + 42258211, + 74546014 + ], + [ + 17559369, + 12386697 + ], + [ + 49186829, + 42837011 + ], + [ + 85354313, + 66591909 + ], + [ + 91875737, + 50331150 + ], + [ + 22212275, + 37481965 + ], + [ + 52214280, + 21863587 + ], + [ + 61555073, + 45541013 + ], + [ + 3765693, + 34710843 + ], + [ + 90277840, + 659264 + ], + [ + 17486633, + 81357842 + ], + [ + 38146076, + 699989 + ], + [ + 83196187, + 70740169 + ], + [ + 56559254, + 82172444 + ], + [ + 89132880, + 13741222 + ], + [ + 32045104, + 28278979 + ], + [ + 90095964, + 68480448 + ], + [ + 80594283, + 45260245 + ], + [ + 42905266, + 64582132 + ], + [ + 5021102, + 36631215 + ], + [ + 29030413, + 70849379 + ], + [ + 74634940, + 94023620 + ], + [ + 88938670, + 3835756 + ], + [ + 46493218, + 33465952 + ], + [ + 8058293, + 82581571 + ], + [ + 58197697, + 1383302 + ], + [ + 14104224, + 35575347 + ], + [ + 46561659, + 92259820 + ], + [ + 59067165, + 6412345 + ], + [ + 64190543, + 51713262 + ], + [ + 26062670, + 95845237 + ], + [ + 77549811, + 57653063 + ], + [ + 62081058, + 34976238 + ], + [ + 69488801, + 11314658 + ], + [ + 54067464, + 79002912 + ], + [ + 24592649, + 5059999 + ], + [ + 99498577, + 27780102 + ], + [ + 32233606, + 476526 + ], + [ + 69345017, + 84806022 + ], + [ + 89532076, + 2417532 + ], + [ + 80663589, + 74386494 + ], + [ + 2729346, + 21876742 + ], + [ + 98781052, + 70964304 + ], + [ + 42081362, + 89894055 + ], + [ + 24104664, + 16625602 + ], + [ + 53883533, + 36135827 + ], + [ + 87327284, + 98995268 + ], + [ + 23890084, + 18726748 + ], + [ + 4772862, + 61735581 + ], + [ + 36747097, + 20543426 + ], + [ + 17790060, + 72833062 + ], + [ + 71420187, + 25161823 + ], + [ + 19691995, + 8956255 + ], + [ + 5226199, + 81614489 + ], + [ + 65678680, + 83304949 + ], + [ + 11984263, + 24362599 + ], + [ + 56485102, + 58935287 + ], + [ + 81779317, + 72712428 + ], + [ + 31380457, + 37764868 + ], + [ + 75189183, + 41244361 + ], + [ + 79657555, + 66799971 + ], + [ + 51711965, + 45015814 + ], + [ + 8005046, + 76843833 + ], + [ + 25276328, + 90363521 + ], + [ + 62919624, + 42187256 + ], + [ + 48527988, + 62760825 + ], + [ + 70296601, + 7316003 + ], + [ + 93126309, + 32966136 + ], + [ + 38447910, + 7100901 + ], + [ + 28741728, + 17685618 + ], + [ + 27000223, + 21711118 + ], + [ + 75990976, + 38524198 + ], + [ + 69711261, + 49486032 + ], + [ + 48390633, + 51638403 + ], + [ + 77054901, + 20848999 + ], + [ + 92441036, + 49804254 + ], + [ + 82855051, + 37548743 + ], + [ + 47254426, + 7627688 + ], + [ + 89135082, + 50180924 + ], + [ + 456896, + 21259867 + ], + [ + 19727883, + 46604376 + ], + [ + 13397700, + 14980585 + ], + [ + 61040369, + 7390628 + ], + [ + 33230122, + 40345858 + ], + [ + 43524712, + 68618991 + ], + [ + 99738248, + 74276528 + ], + [ + 31607605, + 2726828 + ], + [ + 46517925, + 272840 + ], + [ + 208226, + 41040258 + ], + [ + 26485466, + 3675427 + ], + [ + 75727937, + 59766855 + ], + [ + 19741378, + 32416280 + ], + [ + 49465241, + 18857341 + ], + [ + 40638589, + 83870282 + ], + [ + 91819658, + 52614269 + ], + [ + 42311086, + 24130829 + ], + [ + 2330949, + 94596468 + ], + [ + 68839474, + 4245806 + ], + [ + 8814670, + 22029728 + ], + [ + 78095276, + 47175627 + ], + [ + 25222363, + 25199083 + ], + [ + 40058898, + 29529449 + ], + [ + 26800676, + 91122851 + ], + [ + 19783699, + 97275277 + ], + [ + 1648700, + 76778709 + ], + [ + 5296652, + 34606238 + ], + [ + 85587349, + 90366160 + ], + [ + 43100083, + 99323066 + ], + [ + 20473894, + 88103977 + ], + [ + 43180648, + 2219401 + ], + [ + 76572260, + 97215317 + ], + [ + 84782588, + 80316732 + ], + [ + 4823505, + 24782821 + ], + [ + 7999658, + 27428237 + ], + [ + 61068850, + 25660837 + ], + [ + 71392640, + 8930200 + ], + [ + 91644484, + 89048951 + ], + [ + 28140247, + 17243911 + ], + [ + 73789624, + 14776541 + ], + [ + 25859854, + 2745947 + ], + [ + 83084600, + 8933511 + ], + [ + 93738143, + 90431080 + ], + [ + 88424371, + 94595051 + ], + [ + 31514192, + 50961057 + ], + [ + 96056161, + 69883703 + ], + [ + 3758518, + 55278975 + ], + [ + 98852140, + 54130755 + ], + [ + 36550658, + 36376417 + ], + [ + 31318832, + 782338 + ], + [ + 80892868, + 72619082 + ], + [ + 62741418, + 99660783 + ], + [ + 6529024, + 55288209 + ], + [ + 93271763, + 37351591 + ], + [ + 5231939, + 27003849 + ], + [ + 83688239, + 51999389 + ], + [ + 53572895, + 407725 + ], + [ + 48907666, + 60973535 + ], + [ + 21764166, + 37269070 + ], + [ + 9734575, + 63672880 + ], + [ + 85157303, + 98951974 + ], + [ + 22712967, + 17209365 + ], + [ + 26677711, + 28365726 + ], + [ + 41207219, + 27302884 + ], + [ + 65509014, + 26237980 + ], + [ + 93044788, + 93975714 + ], + [ + 1569016, + 58941581 + ], + [ + 77676068, + 67341276 + ], + [ + 30382783, + 59780534 + ], + [ + 13845380, + 73803000 + ], + [ + 44247428, + 26432839 + ], + [ + 30872434, + 91383680 + ], + [ + 11369687, + 28898593 + ], + [ + 61381356, + 7104938 + ], + [ + 22966059, + 46842115 + ], + [ + 86071571, + 61181219 + ], + [ + 39275614, + 53630307 + ], + [ + 60852743, + 80677605 + ], + [ + 63337221, + 13986519 + ], + [ + 34342745, + 75811215 + ], + [ + 46897132, + 63286694 + ], + [ + 62938749, + 204867 + ], + [ + 14023564, + 37199586 + ], + [ + 54392271, + 80925586 + ], + [ + 2977566, + 70993386 + ], + [ + 12034419, + 92015604 + ], + [ + 65902648, + 65012626 + ], + [ + 49899784, + 82571927 + ], + [ + 75434929, + 83350369 + ], + [ + 13246251, + 97079084 + ], + [ + 46809122, + 39146364 + ], + [ + 40938297, + 72574369 + ], + [ + 30130629, + 37979797 + ], + [ + 60042630, + 18847065 + ], + [ + 73613054, + 47503858 + ], + [ + 30435806, + 95124777 + ], + [ + 82473532, + 83951513 + ], + [ + 90077326, + 72332207 + ], + [ + 78850096, + 21204945 + ], + [ + 94107953, + 83769113 + ], + [ + 24084758, + 31594086 + ], + [ + 66720964, + 47091094 + ], + [ + 65752353, + 52332932 + ], + [ + 50434479, + 20005424 + ], + [ + 40556320, + 74914871 + ], + [ + 69721913, + 51110007 + ], + [ + 18031054, + 97628988 + ], + [ + 48921910, + 14529610 + ], + [ + 55210682, + 48995541 + ], + [ + 76936189, + 69594437 + ], + [ + 787329, + 81105426 + ], + [ + 44744003, + 4164211 + ], + [ + 79886266, + 72822638 + ], + [ + 48938928, + 80799440 + ], + [ + 2067804, + 28215610 + ], + [ + 69743130, + 41217783 + ], + [ + 53709194, + 51038143 + ], + [ + 20771939, + 37428785 + ], + [ + 69270198, + 19733454 + ], + [ + 54653231, + 56051254 + ], + [ + 27083823, + 48506683 + ], + [ + 34285919, + 58927630 + ], + [ + 29612605, + 29178394 + ], + [ + 11347901, + 7725257 + ], + [ + 87481533, + 11076021 + ], + [ + 44547898, + 5416976 + ], + [ + 66334183, + 83518881 + ], + [ + 5333084, + 64139727 + ], + [ + 17486713, + 81353535 + ], + [ + 61306390, + 38011959 + ], + [ + 5011167, + 6119551 + ], + [ + 60922014, + 72803511 + ], + [ + 52989953, + 28391548 + ], + [ + 23178706, + 95301525 + ], + [ + 52812569, + 25391063 + ], + [ + 61871696, + 69207745 + ], + [ + 91157919, + 54001018 + ], + [ + 9758093, + 24994014 + ], + [ + 63483288, + 11709327 + ], + [ + 29907526, + 18916105 + ], + [ + 93214936, + 19917807 + ], + [ + 83520512, + 1556603 + ], + [ + 87779185, + 8412419 + ], + [ + 96189121, + 34038364 + ], + [ + 60452754, + 39818571 + ], + [ + 15076045, + 91250206 + ], + [ + 88381534, + 83847089 + ], + [ + 23203561, + 41104333 + ], + [ + 20254141, + 60117703 + ], + [ + 63320969, + 38525072 + ], + [ + 24996911, + 72623306 + ], + [ + 82868202, + 78511851 + ], + [ + 5023781, + 1780795 + ], + [ + 70601075, + 35012703 + ], + [ + 72635715, + 23854542 + ], + [ + 8039578, + 76458027 + ], + [ + 77039588, + 71022278 + ], + [ + 31341444, + 20318455 + ], + [ + 4413841, + 78181084 + ], + [ + 41803578, + 12193642 + ], + [ + 82252355, + 56581073 + ], + [ + 31009213, + 17455621 + ], + [ + 77033943, + 35315417 + ], + [ + 3479890, + 53365501 + ], + [ + 93461688, + 76145395 + ], + [ + 48336786, + 46015957 + ], + [ + 10355210, + 53144288 + ], + [ + 96291782, + 16041414 + ], + [ + 9571219, + 67941332 + ], + [ + 85519626, + 59360677 + ], + [ + 75914908, + 16383944 + ], + [ + 10090025, + 54156690 + ], + [ + 48834725, + 89922647 + ], + [ + 50965609, + 65520097 + ], + [ + 63326788, + 54539323 + ], + [ + 46548825, + 44975140 + ], + [ + 39080209, + 50563852 + ], + [ + 30544723, + 18676985 + ], + [ + 63354502, + 49526208 + ], + [ + 49619246, + 63828069 + ], + [ + 95064635, + 15705543 + ], + [ + 63113425, + 45285869 + ], + [ + 64264223, + 91355911 + ], + [ + 13180959, + 50820438 + ], + [ + 60965323, + 78924880 + ], + [ + 52322078, + 93821786 + ], + [ + 39479082, + 49508006 + ], + [ + 11635539, + 68165541 + ], + [ + 84140506, + 88389483 + ], + [ + 50687930, + 32327466 + ], + [ + 53240709, + 10669810 + ], + [ + 30578991, + 80102213 + ], + [ + 69877763, + 27336947 + ], + [ + 10903871, + 16818957 + ], + [ + 30080849, + 52944289 + ], + [ + 50671334, + 81517945 + ], + [ + 83327723, + 87731797 + ], + [ + 55571981, + 20380572 + ], + [ + 880371, + 53959285 + ], + [ + 8341435, + 56444381 + ], + [ + 37890382, + 23152104 + ], + [ + 40644374, + 71881498 + ], + [ + 78736817, + 44999939 + ], + [ + 70202355, + 33879973 + ], + [ + 12178999, + 69395622 + ], + [ + 23474674, + 42840840 + ], + [ + 10668445, + 76574129 + ], + [ + 79696193, + 28538711 + ], + [ + 87597040, + 44843658 + ], + [ + 46704050, + 38976094 + ], + [ + 21550348, + 41890878 + ], + [ + 25531623, + 23661445 + ], + [ + 11631293, + 47617877 + ], + [ + 13540664, + 93645785 + ], + [ + 25128102, + 31401994 + ], + [ + 28462463, + 73924056 + ], + [ + 66782867, + 25571593 + ], + [ + 51246525, + 16884919 + ], + [ + 67086542, + 88942194 + ], + [ + 51899121, + 9334352 + ], + [ + 54703642, + 45674848 + ], + [ + 12483264, + 69659776 + ], + [ + 87926716, + 50374443 + ], + [ + 62268458, + 1117332 + ], + [ + 74714586, + 62333779 + ], + [ + 78289519, + 20551910 + ], + [ + 68561288, + 68856446 + ], + [ + 31289802, + 23896977 + ], + [ + 3124933, + 58330823 + ], + [ + 82388117, + 37804591 + ], + [ + 46818002, + 6564807 + ], + [ + 10235954, + 42051655 + ], + [ + 71646555, + 71493527 + ], + [ + 17900098, + 95268614 + ], + [ + 91801399, + 77665531 + ], + [ + 68465048, + 58680122 + ], + [ + 22721379, + 2097277 + ], + [ + 46320751, + 6571590 + ], + [ + 2194354, + 80512038 + ], + [ + 30778515, + 31612761 + ], + [ + 7238661, + 65927424 + ], + [ + 79797557, + 87299841 + ], + [ + 94930159, + 83873878 + ], + [ + 43616730, + 16910605 + ], + [ + 28769167, + 2310950 + ], + [ + 50959518, + 58699922 + ], + [ + 52694250, + 19798977 + ], + [ + 85499892, + 83301495 + ], + [ + 50245110, + 29362280 + ], + [ + 90196750, + 68788935 + ], + [ + 28878330, + 58592766 + ], + [ + 1465006, + 83904148 + ], + [ + 5084512, + 43153432 + ], + [ + 27971086, + 69271637 + ], + [ + 72692804, + 63173005 + ], + [ + 71790387, + 54903192 + ], + [ + 2213381, + 18506317 + ], + [ + 54251542, + 86423652 + ], + [ + 30282102, + 73357083 + ], + [ + 13522639, + 55956395 + ], + [ + 35582697, + 55199788 + ], + [ + 91709809, + 46424066 + ], + [ + 19807209, + 3228345 + ], + [ + 82917994, + 61891924 + ], + [ + 4938303, + 5542692 + ], + [ + 45090365, + 50167821 + ], + [ + 19127893, + 24507566 + ], + [ + 69540632, + 86015309 + ], + [ + 14882376, + 34887485 + ], + [ + 73630146, + 46549263 + ], + [ + 63667879, + 12613477 + ], + [ + 53084596, + 22357241 + ], + [ + 28684052, + 21969637 + ], + [ + 93776481, + 53047828 + ], + [ + 53681873, + 77137600 + ], + [ + 86528524, + 78482755 + ], + [ + 49880567, + 92207881 + ], + [ + 89712948, + 73302577 + ], + [ + 84887634, + 93705203 + ], + [ + 62120247, + 30191685 + ], + [ + 79222414, + 22793479 + ], + [ + 90854056, + 35141322 + ], + [ + 10577777, + 39263961 + ], + [ + 85635225, + 15620367 + ], + [ + 27689234, + 36835789 + ], + [ + 86774127, + 38186266 + ], + [ + 39547119, + 39489083 + ], + [ + 76958198, + 91066623 + ], + [ + 62693165, + 51808189 + ], + [ + 97883600, + 54741500 + ], + [ + 78935534, + 31877190 + ], + [ + 75902997, + 71615089 + ], + [ + 94002015, + 97484146 + ], + [ + 57803530, + 71612244 + ], + [ + 84136225, + 37522643 + ], + [ + 90386564, + 31163849 + ], + [ + 95501173, + 10400325 + ], + [ + 28161215, + 54732097 + ], + [ + 14924764, + 93323102 + ], + [ + 44049556, + 1929682 + ], + [ + 43898078, + 82142654 + ], + [ + 69647812, + 54105913 + ], + [ + 90184127, + 97382948 + ], + [ + 82332926, + 11149899 + ], + [ + 94054559, + 5209581 + ], + [ + 23513768, + 72818114 + ], + [ + 70640285, + 33607943 + ], + [ + 72276773, + 77218829 + ], + [ + 4861873, + 76015391 + ], + [ + 3197066, + 27888198 + ], + [ + 78134605, + 58031786 + ], + [ + 14312763, + 63658537 + ], + [ + 95951451, + 53961977 + ], + [ + 17582575, + 58794389 + ], + [ + 38275976, + 27541604 + ], + [ + 71136740, + 72710582 + ], + [ + 24275852, + 86020548 + ], + [ + 28418832, + 99966792 + ], + [ + 96647042, + 71016164 + ], + [ + 88996798, + 29347835 + ], + [ + 59545494, + 69030390 + ], + [ + 51165036, + 80518133 + ], + [ + 17918707, + 5095836 + ], + [ + 25410139, + 46210558 + ], + [ + 91346255, + 2702140 + ], + [ + 4125369, + 89801812 + ], + [ + 87229991, + 12594412 + ], + [ + 98005173, + 64355669 + ], + [ + 33732727, + 77057813 + ], + [ + 23592294, + 2005012 + ], + [ + 2108608, + 29451095 + ], + [ + 42723749, + 18331916 + ], + [ + 43081683, + 94246565 + ], + [ + 88502827, + 16182072 + ], + [ + 89474136, + 28226037 + ], + [ + 14313630, + 78541100 + ], + [ + 42778754, + 42709003 + ], + [ + 13034777, + 98359357 + ], + [ + 4516894, + 12189906 + ], + [ + 75863820, + 64570344 + ], + [ + 30608681, + 12305475 + ], + [ + 96833970, + 28595942 + ], + [ + 93028548, + 53589919 + ], + [ + 57408770, + 60447623 + ], + [ + 30324890, + 55059753 + ], + [ + 97123068, + 8123269 + ], + [ + 54621144, + 45381350 + ], + [ + 53237803, + 67358812 + ], + [ + 64464448, + 38290993 + ], + [ + 60043404, + 32925758 + ], + [ + 22663806, + 32574839 + ], + [ + 83739943, + 28907380 + ], + [ + 92886225, + 31143655 + ], + [ + 83527201, + 8004080 + ], + [ + 11663649, + 71104682 + ], + [ + 35450825, + 86949213 + ], + [ + 41274652, + 8856311 + ], + [ + 67568302, + 45901296 + ], + [ + 50617154, + 33081803 + ], + [ + 22790592, + 87534176 + ], + [ + 10737289, + 46226089 + ], + [ + 90762656, + 31431600 + ], + [ + 23023955, + 58393360 + ], + [ + 46416323, + 98801727 + ], + [ + 56148105, + 75275712 + ], + [ + 21950880, + 8385302 + ], + [ + 39265613, + 7297750 + ], + [ + 40575438, + 71545844 + ], + [ + 79530213, + 40035532 + ], + [ + 1986469, + 94145953 + ], + [ + 67817853, + 69059467 + ], + [ + 74915656, + 55673562 + ], + [ + 19324517, + 13976544 + ], + [ + 70757536, + 97543226 + ], + [ + 40811098, + 62077901 + ], + [ + 28500031, + 2189589 + ], + [ + 83823914, + 90359222 + ], + [ + 30830848, + 47366164 + ], + [ + 60321205, + 23719999 + ], + [ + 39591052, + 41783330 + ], + [ + 89728244, + 26546365 + ], + [ + 97720581, + 61559845 + ], + [ + 79828742, + 42143547 + ], + [ + 5147746, + 63396993 + ], + [ + 51525409, + 37045578 + ], + [ + 33343048, + 90389867 + ], + [ + 36237312, + 94882760 + ], + [ + 48770203, + 61505093 + ], + [ + 57153969, + 85362984 + ], + [ + 45170245, + 94928443 + ], + [ + 3327218, + 36357728 + ], + [ + 91609747, + 7203694 + ], + [ + 77114972, + 79193054 + ], + [ + 91429284, + 89891636 + ], + [ + 51205870, + 64817025 + ], + [ + 6938177, + 5602569 + ], + [ + 23720010, + 57099282 + ], + [ + 17213711, + 1971463 + ], + [ + 40584685, + 78486245 + ], + [ + 88969960, + 26794371 + ], + [ + 20863396, + 2070645 + ], + [ + 36081663, + 32815038 + ], + [ + 72321197, + 58925144 + ], + [ + 32030030, + 88434481 + ], + [ + 93657942, + 77401488 + ], + [ + 1899322, + 70640394 + ], + [ + 84303916, + 68664709 + ], + [ + 2841401, + 97494426 + ], + [ + 70485731, + 63890143 + ], + [ + 46900397, + 7090266 + ], + [ + 89844953, + 95020075 + ], + [ + 40415243, + 40580229 + ], + [ + 19383886, + 84789736 + ], + [ + 59160301, + 9646816 + ], + [ + 63537756, + 18465607 + ], + [ + 3195808, + 83526649 + ], + [ + 13398101, + 38957397 + ], + [ + 47215374, + 31090847 + ], + [ + 58899960, + 59973540 + ], + [ + 13216631, + 82018477 + ], + [ + 86280541, + 27846437 + ], + [ + 23311162, + 17394629 + ], + [ + 56989615, + 87244868 + ], + [ + 36392204, + 12869866 + ], + [ + 17405295, + 38727234 + ], + [ + 88131159, + 31201287 + ], + [ + 80468622, + 30912056 + ], + [ + 41825511, + 34449784 + ], + [ + 45149066, + 9406115 + ], + [ + 17863900, + 29686269 + ], + [ + 41730902, + 27521277 + ], + [ + 13696134, + 98494763 + ], + [ + 55385714, + 77009404 + ], + [ + 44319305, + 59443827 + ], + [ + 69398140, + 90691048 + ], + [ + 39666396, + 58362893 + ], + [ + 86696046, + 40600813 + ], + [ + 78329719, + 69681951 + ], + [ + 7808758, + 26213161 + ], + [ + 40574768, + 98356765 + ], + [ + 13563738, + 89859842 + ], + [ + 27941714, + 13933026 + ], + [ + 25734097, + 4304462 + ], + [ + 84930075, + 41736762 + ], + [ + 51046516, + 2103129 + ], + [ + 43486718, + 13472208 + ], + [ + 41169101, + 29777065 + ], + [ + 75354865, + 34179828 + ], + [ + 76573265, + 39473090 + ], + [ + 83771971, + 54047689 + ], + [ + 26520815, + 66195352 + ], + [ + 1966850, + 44997595 + ], + [ + 90898037, + 22682971 + ], + [ + 1323387, + 21481190 + ], + [ + 9947734, + 42408197 + ], + [ + 83397455, + 3657626 + ], + [ + 20384822, + 13035305 + ], + [ + 76103118, + 46056714 + ], + [ + 92138583, + 51134063 + ], + [ + 17695762, + 49596568 + ], + [ + 76062679, + 19915364 + ], + [ + 72163154, + 63527955 + ], + [ + 84199248, + 68332246 + ], + [ + 6272129, + 72529532 + ], + [ + 59623065, + 12795201 + ], + [ + 79923713, + 26059972 + ], + [ + 67865880, + 47575714 + ], + [ + 53553858, + 31277135 + ], + [ + 2223290, + 96742106 + ], + [ + 54941766, + 45594070 + ], + [ + 60853251, + 3979589 + ], + [ + 4346601, + 82015301 + ], + [ + 21158919, + 55251680 + ], + [ + 15599571, + 42817075 + ], + [ + 56932694, + 21042710 + ], + [ + 27869103, + 61381660 + ], + [ + 91072032, + 44040865 + ], + [ + 48485168, + 19589030 + ], + [ + 67225127, + 80472154 + ], + [ + 77457929, + 63204981 + ], + [ + 3902531, + 60147346 + ], + [ + 3968030, + 90183552 + ], + [ + 8592967, + 93015925 + ], + [ + 59810757, + 4065290 + ], + [ + 13550286, + 89629675 + ], + [ + 20834954, + 6020310 + ], + [ + 948765, + 52158551 + ], + [ + 96202859, + 67627262 + ], + [ + 18364300, + 93322551 + ], + [ + 4901425, + 61611695 + ], + [ + 67534252, + 66627458 + ], + [ + 53009168, + 97738625 + ], + [ + 71514862, + 5881251 + ], + [ + 48203424, + 8897982 + ], + [ + 80723564, + 14905558 + ], + [ + 26092022, + 75404543 + ], + [ + 84228936, + 5814595 + ], + [ + 31703689, + 73099002 + ], + [ + 92457756, + 7516253 + ], + [ + 99341204, + 40705988 + ], + [ + 92582742, + 70665850 + ], + [ + 62298261, + 86978943 + ], + [ + 29641993, + 72757905 + ], + [ + 56271915, + 85367164 + ], + [ + 52753368, + 3841874 + ], + [ + 97196513, + 54644186 + ], + [ + 66358788, + 81396760 + ], + [ + 99393732, + 51520188 + ], + [ + 89350847, + 78104151 + ], + [ + 86305315, + 16421801 + ], + [ + 32623281, + 60618458 + ], + [ + 49124847, + 77828507 + ], + [ + 45665804, + 98853787 + ], + [ + 80756320, + 52705535 + ], + [ + 64925438, + 23655107 + ], + [ + 92796837, + 11848975 + ], + [ + 4345218, + 3342223 + ], + [ + 53773923, + 86797530 + ], + [ + 95119448, + 99300951 + ], + [ + 52081052, + 79539333 + ], + [ + 83265492, + 94722672 + ], + [ + 48035352, + 55613545 + ], + [ + 17338732, + 59268333 + ], + [ + 89791012, + 68000864 + ], + [ + 16803694, + 69367801 + ], + [ + 92153189, + 61333917 + ], + [ + 45300607, + 5067753 + ], + [ + 42817675, + 50783434 + ], + [ + 84930187, + 52399771 + ], + [ + 9573122, + 7868842 + ], + [ + 2427926, + 45489636 + ], + [ + 50870541, + 11535584 + ], + [ + 32106504, + 64424868 + ], + [ + 54511712, + 48226083 + ], + [ + 73521355, + 71690540 + ], + [ + 61368046, + 28161124 + ], + [ + 31321102, + 20212821 + ], + [ + 34092252, + 37762072 + ], + [ + 55541322, + 70167804 + ], + [ + 42594005, + 24934700 + ], + [ + 69658346, + 40441664 + ], + [ + 15158425, + 37152759 + ], + [ + 24553109, + 26780750 + ], + [ + 71309581, + 59121883 + ], + [ + 29154552, + 2913736 + ], + [ + 32087420, + 15348259 + ], + [ + 54722805, + 92717402 + ], + [ + 74801885, + 38694643 + ], + [ + 55424728, + 60785449 + ], + [ + 72465287, + 868351 + ], + [ + 3955723, + 56033265 + ], + [ + 47305022, + 34161352 + ], + [ + 81573666, + 26666176 + ], + [ + 72716247, + 15575930 + ], + [ + 74025097, + 70117969 + ], + [ + 79039161, + 19828878 + ], + [ + 65423917, + 84735052 + ], + [ + 77337029, + 32143568 + ], + [ + 95374493, + 84181961 + ], + [ + 364121, + 88872626 + ], + [ + 36972235, + 71321644 + ], + [ + 27875960, + 39310379 + ], + [ + 24534763, + 91386025 + ], + [ + 8329496, + 52330263 + ], + [ + 41541446, + 40864330 + ], + [ + 16142059, + 25806813 + ], + [ + 79412566, + 46224038 + ], + [ + 50519512, + 54194601 + ], + [ + 43970269, + 74066474 + ], + [ + 25059154, + 78609857 + ], + [ + 57335483, + 12548534 + ], + [ + 28160414, + 65619603 + ], + [ + 20534474, + 31815948 + ], + [ + 88865931, + 47843781 + ], + [ + 15663197, + 93845608 + ], + [ + 66819621, + 5102239 + ], + [ + 47429004, + 18071717 + ], + [ + 47452638, + 42291905 + ], + [ + 38554410, + 33681000 + ], + [ + 4302894, + 16758438 + ], + [ + 39410188, + 56388327 + ], + [ + 26055270, + 35466851 + ], + [ + 10816616, + 26415931 + ], + [ + 94588356, + 63917081 + ], + [ + 37862031, + 42580472 + ], + [ + 2049992, + 98371959 + ], + [ + 2455663, + 13188403 + ], + [ + 13166019, + 64147850 + ], + [ + 13025352, + 17831847 + ], + [ + 50307776, + 19167977 + ], + [ + 6387202, + 84439683 + ], + [ + 21353584, + 87701131 + ], + [ + 30115134, + 55353521 + ], + [ + 57735845, + 36234292 + ], + [ + 22933325, + 39562535 + ], + [ + 48873331, + 20511604 + ], + [ + 88204125, + 61325110 + ], + [ + 22376919, + 49139114 + ], + [ + 81770186, + 40890810 + ], + [ + 8380832, + 75534161 + ], + [ + 95306790, + 85167816 + ], + [ + 55883154, + 31488588 + ], + [ + 66183919, + 79762985 + ], + [ + 52065496, + 72858996 + ], + [ + 98342481, + 1201770 + ], + [ + 83243771, + 93137960 + ], + [ + 6735544, + 60899245 + ], + [ + 51278280, + 63596167 + ], + [ + 6871834, + 29684533 + ], + [ + 25563707, + 89171860 + ], + [ + 15235705, + 59588894 + ], + [ + 34166962, + 72159984 + ], + [ + 9565957, + 16716292 + ], + [ + 36753047, + 10744495 + ], + [ + 73372382, + 10527490 + ], + [ + 91813083, + 60688489 + ], + [ + 34213902, + 51730670 + ], + [ + 39828988, + 8865228 + ], + [ + 56597348, + 33493646 + ], + [ + 19444808, + 22607223 + ], + [ + 94059332, + 34233315 + ], + [ + 7968331, + 72411761 + ], + [ + 95692840, + 65416122 + ], + [ + 19524715, + 6867444 + ], + [ + 27909456, + 15259676 + ], + [ + 64174947, + 14837342 + ], + [ + 75165070, + 49033345 + ], + [ + 16405542, + 60626155 + ], + [ + 58724818, + 57671630 + ], + [ + 51754297, + 60790188 + ], + [ + 5778613, + 3536255 + ], + [ + 57406145, + 93070448 + ], + [ + 30850397, + 61275497 + ], + [ + 60356004, + 73514924 + ], + [ + 93968785, + 52473484 + ], + [ + 88751421, + 58280540 + ], + [ + 23145829, + 61920770 + ], + [ + 98235126, + 61911974 + ], + [ + 76032774, + 92435972 + ], + [ + 17582603, + 98754821 + ], + [ + 93404859, + 61905813 + ], + [ + 6544781, + 41000299 + ], + [ + 65401710, + 60135752 + ], + [ + 99752918, + 66235336 + ], + [ + 114612, + 26919826 + ], + [ + 11265667, + 16559880 + ], + [ + 54142144, + 27192968 + ], + [ + 7492747, + 43860189 + ], + [ + 80879080, + 9505846 + ], + [ + 88009659, + 3973813 + ], + [ + 37777534, + 53655344 + ], + [ + 81541446, + 97279095 + ], + [ + 5236408, + 25185657 + ], + [ + 26245816, + 49539799 + ], + [ + 53585818, + 26028066 + ], + [ + 67925626, + 63964406 + ], + [ + 91320633, + 91976855 + ], + [ + 46861932, + 41229695 + ], + [ + 22012886, + 1280792 + ], + [ + 75486053, + 66022810 + ], + [ + 2843565, + 8154221 + ], + [ + 98174901, + 19558932 + ], + [ + 87021175, + 85629502 + ], + [ + 31620944, + 92345966 + ], + [ + 9688416, + 85949867 + ], + [ + 36055282, + 62680279 + ], + [ + 68925010, + 81336742 + ], + [ + 31881024, + 78316623 + ], + [ + 15625824, + 19672831 + ], + [ + 76250189, + 1995559 + ], + [ + 7227786, + 2639802 + ], + [ + 85056582, + 14372079 + ], + [ + 66219184, + 44042504 + ], + [ + 12147022, + 43794411 + ], + [ + 81311595, + 96085917 + ], + [ + 77330283, + 13162269 + ], + [ + 79692462, + 45502341 + ], + [ + 54408934, + 5059670 + ], + [ + 64602149, + 57438761 + ], + [ + 77981491, + 92382454 + ], + [ + 97264595, + 71854856 + ], + [ + 46922188, + 45391136 + ], + [ + 84014015, + 43339107 + ], + [ + 93391421, + 64929060 + ], + [ + 78040581, + 67911472 + ], + [ + 34342857, + 70531047 + ], + [ + 97569514, + 19854605 + ], + [ + 463239, + 48329547 + ], + [ + 43416667, + 52525489 + ], + [ + 92035663, + 23722959 + ], + [ + 23762107, + 57387707 + ], + [ + 75775412, + 63835413 + ], + [ + 24037640, + 38675564 + ], + [ + 77777499, + 91184771 + ], + [ + 93862291, + 39041327 + ], + [ + 19383509, + 41202986 + ], + [ + 6275344, + 66068689 + ], + [ + 66974756, + 74319604 + ], + [ + 44106977, + 10212549 + ], + [ + 13049229, + 79196358 + ], + [ + 23294913, + 10981505 + ], + [ + 96357396, + 88862809 + ], + [ + 9629871, + 15671293 + ], + [ + 21398630, + 5500670 + ], + [ + 38589694, + 87490282 + ], + [ + 48029351, + 28350943 + ], + [ + 37545113, + 33947621 + ], + [ + 66203586, + 58102595 + ], + [ + 52549249, + 64320150 + ], + [ + 60496805, + 19401883 + ], + [ + 52931383, + 82755857 + ], + [ + 87888260, + 67350364 + ], + [ + 38913966, + 11969136 + ], + [ + 72815753, + 18023783 + ], + [ + 51953735, + 15320990 + ], + [ + 58998338, + 30656278 + ], + [ + 60030525, + 19827288 + ], + [ + 8735718, + 43952460 + ], + [ + 83564746, + 77089057 + ], + [ + 10048947, + 53859167 + ], + [ + 29391658, + 71420308 + ], + [ + 59333007, + 45091423 + ], + [ + 13031432, + 72877345 + ], + [ + 55672028, + 62105011 + ], + [ + 41261327, + 19165879 + ], + [ + 72096848, + 62627970 + ], + [ + 80501160, + 81093471 + ], + [ + 1621341, + 92462276 + ], + [ + 43897991, + 49211632 + ], + [ + 99259871, + 2835253 + ], + [ + 847815, + 66663649 + ], + [ + 2813395, + 63437501 + ], + [ + 59771854, + 43068352 + ], + [ + 71278077, + 56271616 + ], + [ + 95608003, + 64764754 + ], + [ + 36711761, + 75002431 + ], + [ + 31403107, + 14505996 + ], + [ + 79556897, + 46150888 + ], + [ + 8433172, + 99807047 + ], + [ + 17245529, + 2543488 + ], + [ + 79903865, + 56755804 + ], + [ + 81204771, + 8108587 + ], + [ + 40971371, + 67218397 + ], + [ + 38278306, + 77208372 + ], + [ + 65590445, + 37705658 + ], + [ + 11199904, + 63942689 + ], + [ + 99162006, + 35382902 + ], + [ + 65739912, + 27047358 + ], + [ + 47677978, + 4070720 + ], + [ + 77621064, + 57599739 + ], + [ + 79448734, + 16313673 + ], + [ + 844069, + 73416549 + ], + [ + 76207549, + 5221914 + ], + [ + 78469392, + 9842177 + ], + [ + 65642661, + 21329154 + ], + [ + 65786275, + 31113979 + ], + [ + 70283340, + 14648229 + ], + [ + 77496427, + 77005410 + ], + [ + 29989981, + 40918473 + ], + [ + 39187079, + 98387943 + ], + [ + 69852433, + 40960132 + ], + [ + 61908005, + 75594466 + ], + [ + 96540548, + 84722506 + ], + [ + 42678167, + 67665693 + ], + [ + 21766433, + 20876942 + ], + [ + 91105192, + 54079004 + ], + [ + 63991698, + 35233181 + ], + [ + 71896038, + 70287890 + ], + [ + 15870608, + 78739544 + ], + [ + 18205882, + 58722970 + ], + [ + 9228562, + 16895763 + ], + [ + 91770290, + 22374877 + ], + [ + 25232262, + 79352183 + ], + [ + 73787488, + 12051230 + ], + [ + 23698279, + 26355011 + ], + [ + 52119411, + 10590623 + ], + [ + 78870132, + 91348998 + ], + [ + 94563737, + 81096038 + ], + [ + 15575610, + 48269545 + ], + [ + 44462589, + 42168831 + ], + [ + 32798653, + 88309317 + ], + [ + 5067835, + 98932683 + ], + [ + 93887768, + 93980436 + ], + [ + 97097341, + 56574660 + ], + [ + 36956964, + 48910021 + ], + [ + 93534766, + 78272472 + ], + [ + 1963438, + 4456415 + ], + [ + 77751840, + 94691874 + ], + [ + 74198490, + 34575421 + ], + [ + 16416832, + 7302759 + ], + [ + 27415168, + 54998271 + ], + [ + 44367968, + 38926055 + ], + [ + 54557289, + 72070879 + ], + [ + 20449635, + 33662969 + ], + [ + 92597984, + 5272506 + ], + [ + 10667080, + 50810451 + ], + [ + 98007921, + 35770770 + ], + [ + 81970730, + 88387234 + ], + [ + 93513182, + 23555602 + ], + [ + 86242944, + 86158849 + ], + [ + 96916097, + 70831713 + ], + [ + 39016501, + 33185840 + ], + [ + 14588934, + 80786924 + ], + [ + 3157226, + 66124879 + ], + [ + 54770153, + 67326715 + ], + [ + 16688820, + 32862524 + ], + [ + 21806076, + 99865858 + ], + [ + 94995586, + 41029026 + ], + [ + 53919867, + 99234279 + ], + [ + 19079272, + 40938815 + ], + [ + 73086979, + 33659675 + ], + [ + 18654819, + 27429510 + ], + [ + 1351523, + 85272169 + ], + [ + 41068002, + 89038641 + ], + [ + 44067877, + 71783676 + ], + [ + 5287021, + 90952582 + ], + [ + 25072682, + 6414262 + ], + [ + 86978928, + 95660190 + ], + [ + 96200751, + 69772232 + ], + [ + 51464501, + 29725195 + ], + [ + 96320266, + 31675680 + ], + [ + 92050392, + 43746645 + ], + [ + 37363900, + 40227205 + ], + [ + 25757112, + 59647034 + ], + [ + 74064925, + 7603187 + ], + [ + 69165627, + 18614889 + ], + [ + 82426143, + 3852498 + ], + [ + 8081848, + 18649354 + ], + [ + 47644465, + 72542980 + ], + [ + 81871477, + 49728983 + ], + [ + 48431921, + 65111303 + ], + [ + 48665003, + 96941503 + ], + [ + 92504555, + 73771459 + ], + [ + 29141042, + 3149213 + ], + [ + 98405287, + 24190596 + ], + [ + 36858317, + 24166493 + ], + [ + 64842105, + 57066930 + ], + [ + 46034681, + 44807143 + ], + [ + 7966489, + 42867309 + ], + [ + 22264127, + 68211325 + ], + [ + 82005763, + 13229659 + ], + [ + 82659990, + 71809470 + ], + [ + 50988200, + 61352177 + ], + [ + 57972836, + 11703131 + ], + [ + 99113723, + 40505120 + ], + [ + 28387293, + 5202696 + ], + [ + 96441776, + 98925435 + ], + [ + 67368648, + 37429871 + ], + [ + 6267981, + 99916189 + ], + [ + 6670635, + 93686621 + ], + [ + 46453994, + 21099539 + ], + [ + 74463442, + 69253037 + ], + [ + 92331280, + 38856984 + ], + [ + 74853014, + 56547500 + ], + [ + 33162198, + 76168844 + ], + [ + 78028895, + 95342815 + ], + [ + 61440910, + 82024331 + ], + [ + 24992473, + 31580877 + ], + [ + 33362359, + 1677842 + ], + [ + 17173430, + 23253676 + ], + [ + 2445495, + 25613944 + ], + [ + 50390248, + 15819074 + ], + [ + 23397402, + 10269341 + ], + [ + 79261628, + 39430455 + ], + [ + 83301138, + 6214939 + ], + [ + 49786804, + 53872394 + ], + [ + 23146709, + 71216057 + ], + [ + 83344087, + 15161627 + ], + [ + 98543144, + 59151758 + ], + [ + 42945977, + 45106867 + ], + [ + 84532626, + 5479483 + ], + [ + 36844790, + 62171927 + ], + [ + 54945261, + 91210735 + ], + [ + 51064311, + 20049786 + ], + [ + 99487503, + 21902045 + ], + [ + 81597901, + 9665609 + ], + [ + 91853076, + 68511284 + ], + [ + 1222475, + 24429786 + ], + [ + 93385427, + 49387846 + ], + [ + 34193671, + 77023790 + ], + [ + 18198282, + 75640251 + ], + [ + 57988849, + 23743809 + ], + [ + 46430635, + 17731627 + ], + [ + 18695252, + 88768380 + ], + [ + 45987720, + 65297560 + ], + [ + 55607204, + 55084871 + ], + [ + 99341733, + 41616249 + ], + [ + 56755667, + 56038988 + ], + [ + 93813516, + 79804282 + ], + [ + 25950414, + 14907040 + ], + [ + 82668743, + 65143806 + ], + [ + 9444370, + 70215896 + ], + [ + 58750654, + 63046062 + ], + [ + 24961892, + 60670340 + ], + [ + 67466082, + 40377991 + ], + [ + 95804483, + 63514177 + ], + [ + 99866644, + 16420147 + ], + [ + 2326461, + 1712139 + ], + [ + 1304147, + 95828735 + ], + [ + 74948251, + 23758673 + ], + [ + 67693249, + 44417492 + ], + [ + 18125352, + 27596106 + ], + [ + 12006940, + 32668039 + ], + [ + 59217053, + 33763445 + ], + [ + 58521229, + 40726538 + ], + [ + 85754278, + 69550297 + ], + [ + 86998203, + 92613093 + ], + [ + 11147209, + 86267434 + ], + [ + 63964357, + 6417506 + ], + [ + 29200813, + 76991077 + ], + [ + 53969118, + 49362525 + ], + [ + 10219842, + 64998241 + ], + [ + 37520395, + 26324992 + ], + [ + 80109726, + 60662170 + ], + [ + 17357162, + 5910832 + ], + [ + 72093501, + 73483983 + ], + [ + 31456868, + 68668804 + ], + [ + 51664745, + 29215870 + ], + [ + 15817504, + 7643221 + ], + [ + 60626388, + 62306197 + ], + [ + 51518517, + 95181991 + ], + [ + 19487220, + 37673771 + ], + [ + 98910804, + 88708967 + ], + [ + 9055112, + 89274369 + ], + [ + 93038586, + 30654454 + ], + [ + 23757048, + 13461281 + ], + [ + 92427785, + 33651644 + ], + [ + 43963041, + 33744961 + ], + [ + 52921966, + 37209708 + ], + [ + 71567658, + 70232128 + ], + [ + 88006480, + 87018532 + ], + [ + 2761671, + 85989272 + ], + [ + 89017646, + 41643954 + ], + [ + 36058139, + 49048943 + ], + [ + 33846379, + 41819581 + ], + [ + 48944325, + 47606148 + ], + [ + 41465214, + 11561210 + ], + [ + 85832079, + 65373424 + ], + [ + 55168664, + 98212970 + ], + [ + 28628478, + 72636918 + ], + [ + 17162248, + 42896087 + ], + [ + 62685194, + 46107936 + ], + [ + 75167988, + 45754561 + ], + [ + 5368317, + 63467921 + ], + [ + 10555415, + 44448114 + ], + [ + 34628746, + 10391392 + ], + [ + 65904200, + 52131150 + ], + [ + 3686707, + 64385389 + ], + [ + 95038808, + 77226953 + ], + [ + 6823046, + 35636807 + ], + [ + 96013195, + 86459971 + ], + [ + 35991176, + 78596954 + ], + [ + 78952190, + 95675734 + ], + [ + 25946851, + 50510636 + ], + [ + 22129721, + 68206161 + ], + [ + 42262625, + 95176790 + ], + [ + 68653687, + 97172419 + ], + [ + 91223327, + 48803627 + ], + [ + 8634493, + 92632485 + ], + [ + 12747606, + 67843560 + ], + [ + 89564419, + 13137181 + ], + [ + 57207017, + 672531 + ], + [ + 2509121, + 24970439 + ], + [ + 77472066, + 96179059 + ], + [ + 45393400, + 9725311 + ], + [ + 49809994, + 77281326 + ], + [ + 85715512, + 60521451 + ], + [ + 85975660, + 20315118 + ], + [ + 32477001, + 77718819 + ], + [ + 4346108, + 60820845 + ], + [ + 69913651, + 71998951 + ], + [ + 17599832, + 31607016 + ], + [ + 41458203, + 49585888 + ], + [ + 44168510, + 47866599 + ], + [ + 27610990, + 3268249 + ], + [ + 23438942, + 12235187 + ], + [ + 61473147, + 51300675 + ], + [ + 74211290, + 92535418 + ], + [ + 13952723, + 43561470 + ], + [ + 39124205, + 32491867 + ], + [ + 29148960, + 16722966 + ], + [ + 69860104, + 48684349 + ], + [ + 2533055, + 81000183 + ], + [ + 3701371, + 14555656 + ], + [ + 5712184, + 26283291 + ], + [ + 45377745, + 28351608 + ], + [ + 20123554, + 80583553 + ], + [ + 82469859, + 15619118 + ], + [ + 75891370, + 81074663 + ], + [ + 13522652, + 81201174 + ], + [ + 5836241, + 14689510 + ], + [ + 16290151, + 27850174 + ], + [ + 5102895, + 69688550 + ], + [ + 19861795, + 7806935 + ], + [ + 32081501, + 65471821 + ], + [ + 23051015, + 60712595 + ], + [ + 85890837, + 39604721 + ], + [ + 96490844, + 78453397 + ], + [ + 52085023, + 698659 + ], + [ + 65432079, + 26467961 + ], + [ + 74969871, + 3896978 + ], + [ + 37661931, + 96790810 + ], + [ + 52051482, + 96886329 + ], + [ + 84912088, + 22653453 + ], + [ + 7431261, + 51022611 + ], + [ + 28180303, + 45263803 + ], + [ + 13853486, + 49574890 + ], + [ + 58302225, + 81285633 + ], + [ + 80216744, + 26675615 + ], + [ + 4715251, + 29093851 + ], + [ + 61112374, + 47756562 + ], + [ + 3081345, + 60817781 + ], + [ + 36853870, + 92686023 + ], + [ + 70160074, + 19251893 + ], + [ + 50927279, + 24435562 + ], + [ + 70514992, + 7729424 + ], + [ + 77957091, + 26041088 + ], + [ + 61984842, + 5025739 + ], + [ + 65018823, + 45524901 + ], + [ + 82839154, + 10037214 + ], + [ + 67628793, + 22042205 + ], + [ + 70851289, + 18659823 + ], + [ + 12443789, + 94266157 + ], + [ + 50522185, + 93084102 + ], + [ + 50342009, + 17614184 + ], + [ + 33580535, + 39643049 + ], + [ + 82184057, + 84696709 + ], + [ + 77918992, + 186708 + ], + [ + 53949605, + 99277530 + ], + [ + 65128008, + 88422721 + ], + [ + 69390878, + 9639876 + ], + [ + 2197565, + 53389869 + ], + [ + 6611786, + 95843658 + ], + [ + 48847549, + 54010318 + ], + [ + 67874049, + 9152339 + ], + [ + 827550, + 27326343 + ], + [ + 39012410, + 58425436 + ], + [ + 61569827, + 93005292 + ], + [ + 25898520, + 99292827 + ], + [ + 78202958, + 25900581 + ], + [ + 60137895, + 52529431 + ], + [ + 22315672, + 34162876 + ], + [ + 2193095, + 56652856 + ], + [ + 46155858, + 32238976 + ], + [ + 48169743, + 36324189 + ], + [ + 41299840, + 41597387 + ], + [ + 27659427, + 77424401 + ], + [ + 14100184, + 62237807 + ], + [ + 97196486, + 82102758 + ], + [ + 97477943, + 52562886 + ], + [ + 90119490, + 80506778 + ], + [ + 80404151, + 23552001 + ], + [ + 12438371, + 97011224 + ], + [ + 76504122, + 88283610 + ], + [ + 71839160, + 76423002 + ], + [ + 61697668, + 69446171 + ], + [ + 63354575, + 55442597 + ], + [ + 12672913, + 39869683 + ], + [ + 73382050, + 52123412 + ], + [ + 39774042, + 63199273 + ], + [ + 63200460, + 57149040 + ], + [ + 61208943, + 1055754 + ], + [ + 74199446, + 28530210 + ], + [ + 78646345, + 37655752 + ], + [ + 69198836, + 22022738 + ], + [ + 66782958, + 2976748 + ], + [ + 54909452, + 54551905 + ], + [ + 12570784, + 71217305 + ], + [ + 38268370, + 97259364 + ], + [ + 33233816, + 46905468 + ], + [ + 27432523, + 86472587 + ], + [ + 24938631, + 90739946 + ], + [ + 49101854, + 27360480 + ], + [ + 47554352, + 70007492 + ], + [ + 88111191, + 10315344 + ], + [ + 13390298, + 95616722 + ], + [ + 60609558, + 46438876 + ], + [ + 61779360, + 57277332 + ], + [ + 45769989, + 85156377 + ], + [ + 77493736, + 62700412 + ], + [ + 95834522, + 42091589 + ], + [ + 58555877, + 43149462 + ], + [ + 15298352, + 68266185 + ], + [ + 83533236, + 68462318 + ], + [ + 42621759, + 53128252 + ], + [ + 27579915, + 93353948 + ], + [ + 17338191, + 62230263 + ], + [ + 17292223, + 79958590 + ], + [ + 18430087, + 91863064 + ], + [ + 28514603, + 1021159 + ], + [ + 66746450, + 21449032 + ], + [ + 21428347, + 37800867 + ], + [ + 97650953, + 93235548 + ], + [ + 57953909, + 78913042 + ], + [ + 23402542, + 86694824 + ], + [ + 18602996, + 70223094 + ], + [ + 17023468, + 10257503 + ], + [ + 10395296, + 18705018 + ], + [ + 63728259, + 5682282 + ], + [ + 64963585, + 48593325 + ], + [ + 25553225, + 26811126 + ], + [ + 96292320, + 67060344 + ], + [ + 64798025, + 49765917 + ], + [ + 97789039, + 80559966 + ], + [ + 63397107, + 94833795 + ], + [ + 36883964, + 43325469 + ], + [ + 43313291, + 21030789 + ], + [ + 41450891, + 74055173 + ], + [ + 16625439, + 38313288 + ], + [ + 16476650, + 21046505 + ], + [ + 41134141, + 79484455 + ], + [ + 74918433, + 98335467 + ], + [ + 18846374, + 12349309 + ], + [ + 49883952, + 61173986 + ], + [ + 10398943, + 89544252 + ], + [ + 51198463, + 64427 + ], + [ + 46422749, + 70120742 + ], + [ + 94368246, + 60368467 + ], + [ + 65984131, + 10961371 + ], + [ + 54291135, + 73667973 + ], + [ + 99655991, + 577155 + ], + [ + 27712810, + 71024591 + ], + [ + 73464671, + 10484422 + ], + [ + 45312095, + 53202751 + ], + [ + 3094748, + 45228001 + ], + [ + 4842511, + 38080850 + ], + [ + 27155127, + 69495704 + ], + [ + 45363220, + 87721095 + ], + [ + 7002498, + 16401374 + ], + [ + 39346007, + 51466013 + ], + [ + 2053136, + 44566479 + ], + [ + 29647872, + 69349318 + ], + [ + 40469767, + 8231358 + ], + [ + 40007944, + 52838234 + ], + [ + 63276784, + 19087560 + ], + [ + 61918802, + 23935120 + ], + [ + 13220800, + 38591246 + ], + [ + 92196830, + 819825 + ], + [ + 38013948, + 5661501 + ], + [ + 18550224, + 9032192 + ], + [ + 66849535, + 23840584 + ], + [ + 49833104, + 35204525 + ], + [ + 72149917, + 61069192 + ], + [ + 98408364, + 28194262 + ], + [ + 52271090, + 5567692 + ], + [ + 76566162, + 52736021 + ], + [ + 85874426, + 53433287 + ], + [ + 59760101, + 30250315 + ], + [ + 65905372, + 71365160 + ], + [ + 48777587, + 49431717 + ], + [ + 36066035, + 18346200 + ], + [ + 87707357, + 5879238 + ], + [ + 77774574, + 40792026 + ], + [ + 47650691, + 82539178 + ], + [ + 92818587, + 47335236 + ], + [ + 35012839, + 54994645 + ], + [ + 10533839, + 71559386 + ], + [ + 14141695, + 78553570 + ], + [ + 32317890, + 49214294 + ], + [ + 7345719, + 44782598 + ], + [ + 61305257, + 15276271 + ], + [ + 21685150, + 51754253 + ], + [ + 32634868, + 26794332 + ], + [ + 24240889, + 60477806 + ], + [ + 23241831, + 48957572 + ], + [ + 17321143, + 95642667 + ], + [ + 73585813, + 76766964 + ], + [ + 30039400, + 99071091 + ], + [ + 66369534, + 34488361 + ], + [ + 70724546, + 49114534 + ], + [ + 6218001, + 26908066 + ], + [ + 93190819, + 83813085 + ], + [ + 27654591, + 75801758 + ], + [ + 59709748, + 37325075 + ], + [ + 1175531, + 16878089 + ], + [ + 86527807, + 32544717 + ], + [ + 39383194, + 19027307 + ], + [ + 17114469, + 44186703 + ], + [ + 16041352, + 99579821 + ], + [ + 20206680, + 23479618 + ], + [ + 40892794, + 66622181 + ], + [ + 18018221, + 80186835 + ], + [ + 3578695, + 40668353 + ], + [ + 95668405, + 64308367 + ], + [ + 7245936, + 52856680 + ], + [ + 77946868, + 22322870 + ], + [ + 91526565, + 16228992 + ], + [ + 16067272, + 15124092 + ], + [ + 30359951, + 38722603 + ], + [ + 97660918, + 34776849 + ], + [ + 95071808, + 96792686 + ], + [ + 42416206, + 93593512 + ], + [ + 36007348, + 94712514 + ], + [ + 67676507, + 33658618 + ], + [ + 56571368, + 94705104 + ], + [ + 14728674, + 93349477 + ], + [ + 92213652, + 36809736 + ], + [ + 25798985, + 77824529 + ], + [ + 35612036, + 401910 + ], + [ + 95169186, + 73295955 + ], + [ + 68978131, + 29773655 + ], + [ + 32602024, + 93753371 + ], + [ + 58060572, + 60940416 + ], + [ + 91381497, + 59167490 + ], + [ + 79015212, + 95071557 + ], + [ + 13403692, + 47956022 + ], + [ + 78266631, + 8126020 + ], + [ + 53733939, + 58499785 + ], + [ + 41741562, + 80813685 + ], + [ + 14029399, + 70294372 + ], + [ + 14450954, + 18731031 + ], + [ + 23608205, + 7046483 + ], + [ + 90398709, + 78937101 + ], + [ + 87773015, + 92896766 + ], + [ + 2473602, + 17089079 + ], + [ + 97860673, + 42427059 + ], + [ + 52326924, + 70449470 + ], + [ + 35365215, + 24187975 + ], + [ + 19332782, + 22979813 + ], + [ + 23506378, + 89471202 + ], + [ + 40716060, + 96713527 + ], + [ + 72624223, + 18014016 + ], + [ + 70873994, + 80397123 + ], + [ + 17465385, + 97169774 + ], + [ + 21575864, + 51074089 + ], + [ + 38964150, + 52751848 + ], + [ + 71799462, + 75187337 + ], + [ + 69138043, + 42722470 + ], + [ + 54080374, + 99457992 + ], + [ + 62422182, + 65777643 + ], + [ + 13822918, + 48597764 + ], + [ + 31873211, + 53531352 + ], + [ + 28345291, + 56150708 + ], + [ + 42017186, + 29730540 + ], + [ + 33779513, + 90522837 + ], + [ + 75017043, + 2963902 + ], + [ + 38395841, + 42115771 + ], + [ + 49807598, + 42484934 + ], + [ + 64345242, + 98099105 + ], + [ + 26622083, + 31243944 + ], + [ + 33394783, + 21810738 + ], + [ + 98944008, + 23966826 + ], + [ + 87662672, + 36992895 + ], + [ + 20945269, + 24839576 + ], + [ + 61505929, + 93582490 + ], + [ + 17339650, + 51679100 + ], + [ + 18666573, + 12412012 + ], + [ + 72257430, + 78493995 + ], + [ + 31535255, + 4343378 + ], + [ + 77705788, + 11181168 + ], + [ + 85794547, + 59308393 + ], + [ + 72274495, + 85518511 + ], + [ + 33022515, + 62537340 + ], + [ + 77082945, + 89814457 + ], + [ + 38009488, + 15694165 + ], + [ + 80914933, + 43580565 + ], + [ + 77727909, + 67169986 + ], + [ + 35104226, + 47436243 + ], + [ + 47620979, + 3753693 + ], + [ + 84650788, + 38249140 + ], + [ + 43010266, + 6910312 + ], + [ + 24897619, + 30472203 + ], + [ + 8641777, + 76877487 + ], + [ + 89770076, + 66126739 + ], + [ + 3532021, + 36646682 + ], + [ + 72337994, + 59773632 + ], + [ + 20930129, + 56193417 + ], + [ + 45549487, + 2279338 + ], + [ + 30341577, + 53400975 + ], + [ + 85953842, + 13945995 + ], + [ + 26639565, + 87577046 + ], + [ + 67665239, + 57426261 + ], + [ + 48377266, + 74788877 + ], + [ + 60874588, + 30744276 + ], + [ + 62459127, + 9472892 + ], + [ + 96665566, + 5506193 + ], + [ + 41933652, + 45888981 + ], + [ + 71364274, + 59460275 + ], + [ + 86517992, + 22154870 + ], + [ + 75936244, + 80789022 + ], + [ + 2219973, + 33200308 + ], + [ + 42381791, + 6334164 + ], + [ + 66125309, + 6611170 + ], + [ + 10066834, + 65181421 + ], + [ + 64922895, + 12017338 + ], + [ + 58506631, + 35785474 + ], + [ + 86741725, + 75725573 + ], + [ + 50199650, + 24748025 + ], + [ + 8418033, + 97753126 + ], + [ + 24690331, + 64360616 + ], + [ + 63498598, + 66457767 + ], + [ + 96268818, + 27151009 + ], + [ + 46567824, + 24480469 + ], + [ + 79510369, + 72398630 + ], + [ + 31359910, + 2952046 + ], + [ + 63333311, + 46631871 + ], + [ + 9654475, + 89485799 + ], + [ + 53081285, + 28228269 + ], + [ + 61670561, + 29978917 + ], + [ + 98351597, + 19630903 + ], + [ + 4779741, + 88346029 + ], + [ + 19283532, + 98839184 + ], + [ + 13700405, + 31560428 + ], + [ + 21564960, + 8780851 + ], + [ + 75715580, + 45358220 + ], + [ + 35769339, + 17364688 + ], + [ + 34814411, + 91253545 + ], + [ + 98400426, + 40422866 + ], + [ + 7803226, + 69462953 + ], + [ + 12697551, + 19889717 + ], + [ + 12732380, + 92834421 + ], + [ + 35585593, + 24402619 + ], + [ + 99480351, + 10547437 + ], + [ + 80172657, + 49119541 + ], + [ + 67211569, + 95184021 + ], + [ + 34075251, + 26311294 + ], + [ + 98734836, + 64794819 + ], + [ + 10138393, + 65004317 + ], + [ + 57374343, + 38125012 + ], + [ + 42064698, + 84284810 + ], + [ + 46023053, + 80271889 + ], + [ + 52265187, + 90491001 + ], + [ + 14503858, + 16374724 + ], + [ + 71358953, + 66520441 + ], + [ + 39779883, + 89159349 + ], + [ + 25230055, + 67159215 + ], + [ + 89651775, + 39311284 + ], + [ + 12544707, + 72831356 + ], + [ + 87632031, + 72948540 + ], + [ + 36540831, + 1849043 + ], + [ + 92427480, + 43427888 + ], + [ + 95321882, + 61720527 + ], + [ + 78788084, + 60754680 + ], + [ + 40714579, + 20190071 + ], + [ + 11335807, + 43288692 + ], + [ + 95445628, + 59253096 + ], + [ + 59779336, + 22126922 + ], + [ + 72245604, + 89187071 + ], + [ + 51579157, + 28667881 + ], + [ + 85744964, + 64429136 + ], + [ + 95352023, + 71306850 + ], + [ + 82639371, + 45345700 + ], + [ + 16010448, + 14012691 + ], + [ + 99566043, + 80543965 + ], + [ + 30403952, + 76188648 + ], + [ + 87879829, + 28850159 + ], + [ + 3118757, + 32855623 + ], + [ + 9475125, + 63602569 + ], + [ + 5710736, + 11998306 + ], + [ + 9442935, + 72295740 + ], + [ + 84712194, + 16595306 + ], + [ + 26262009, + 98105610 + ], + [ + 2780515, + 63907714 + ], + [ + 61465467, + 18676595 + ], + [ + 76517934, + 77085136 + ], + [ + 87346390, + 54723112 + ], + [ + 43440797, + 40360546 + ], + [ + 46303577, + 28474918 + ], + [ + 83133131, + 51819998 + ], + [ + 86982631, + 72549990 + ], + [ + 69180503, + 78371719 + ], + [ + 33828833, + 28072512 + ], + [ + 45974233, + 46031464 + ], + [ + 28572090, + 39687769 + ], + [ + 84561644, + 27067013 + ], + [ + 15974414, + 95272156 + ], + [ + 98032743, + 95544876 + ], + [ + 80870766, + 89286826 + ], + [ + 74043831, + 51403435 + ], + [ + 76285946, + 36717458 + ], + [ + 22025254, + 2701921 + ], + [ + 50943897, + 40733098 + ], + [ + 47094832, + 45147748 + ], + [ + 46438363, + 66586518 + ], + [ + 15415931, + 64159044 + ], + [ + 4646705, + 57728691 + ], + [ + 97809712, + 95537746 + ], + [ + 38819945, + 70917400 + ], + [ + 32246211, + 54299248 + ], + [ + 75187686, + 65771367 + ], + [ + 13340742, + 15072967 + ], + [ + 59018879, + 76598345 + ], + [ + 59611629, + 44134517 + ], + [ + 66195787, + 8963874 + ], + [ + 25149688, + 45566461 + ], + [ + 83461954, + 69046503 + ], + [ + 93482928, + 23111027 + ], + [ + 70866641, + 92943283 + ], + [ + 58351363, + 9211166 + ], + [ + 35734698, + 67710306 + ], + [ + 56390981, + 45270929 + ], + [ + 10673554, + 25773113 + ], + [ + 38910077, + 38951076 + ], + [ + 41130790, + 549465 + ], + [ + 12531279, + 22889839 + ], + [ + 43620311, + 51108221 + ], + [ + 80244531, + 51950867 + ], + [ + 32668429, + 2749859 + ], + [ + 66824252, + 4338174 + ], + [ + 79782661, + 79545044 + ], + [ + 50619167, + 36498980 + ], + [ + 32199560, + 64303132 + ], + [ + 5128135, + 21976260 + ], + [ + 32324854, + 20516136 + ], + [ + 88534443, + 64236585 + ], + [ + 50020257, + 87138013 + ], + [ + 93186546, + 7352457 + ], + [ + 88527451, + 53201555 + ], + [ + 90346959, + 22043644 + ], + [ + 50210857, + 89550558 + ], + [ + 67082032, + 91778913 + ], + [ + 66616566, + 86027633 + ], + [ + 27654376, + 53149053 + ], + [ + 95124659, + 58800344 + ], + [ + 31743037, + 54998277 + ], + [ + 57797630, + 10257927 + ], + [ + 31980589, + 27220787 + ], + [ + 89993721, + 25153658 + ], + [ + 30440527, + 51531964 + ], + [ + 65347464, + 88935845 + ], + [ + 98924983, + 92031226 + ], + [ + 85780498, + 15418191 + ], + [ + 5158405, + 86635448 + ], + [ + 75666548, + 77039585 + ], + [ + 17259345, + 35781966 + ], + [ + 10576748, + 35458924 + ], + [ + 1674852, + 33619493 + ], + [ + 81151392, + 37735667 + ], + [ + 50284059, + 28558660 + ], + [ + 87672922, + 47406602 + ], + [ + 99898897, + 52392530 + ], + [ + 34136144, + 80339520 + ], + [ + 71444256, + 14021659 + ], + [ + 67404242, + 27541741 + ], + [ + 54335498, + 40199432 + ], + [ + 7503414, + 50197926 + ], + [ + 84447385, + 49336254 + ], + [ + 50106826, + 29847829 + ], + [ + 73113784, + 57044782 + ], + [ + 59861233, + 42692023 + ], + [ + 11494941, + 42197040 + ], + [ + 38113924, + 93983501 + ], + [ + 12747782, + 53163108 + ], + [ + 12779865, + 87988146 + ], + [ + 64221805, + 49366531 + ], + [ + 70250146, + 91010307 + ], + [ + 90256286, + 57664754 + ], + [ + 5068870, + 31176421 + ], + [ + 46712760, + 89279682 + ], + [ + 94603605, + 96361924 + ], + [ + 13323040, + 58900828 + ], + [ + 44524001, + 61461306 + ], + [ + 373420, + 18500166 + ], + [ + 8908681, + 39524243 + ], + [ + 84445733, + 28346088 + ], + [ + 45286864, + 4092326 + ], + [ + 75441112, + 83651798 + ], + [ + 71814546, + 42382595 + ], + [ + 29538353, + 70563651 + ], + [ + 91363002, + 93707937 + ], + [ + 36295769, + 14584996 + ], + [ + 31341495, + 64580524 + ], + [ + 86340452, + 68163629 + ], + [ + 54346714, + 65062365 + ], + [ + 58755792, + 19578982 + ], + [ + 51592522, + 58421422 + ], + [ + 1473265, + 9956158 + ], + [ + 5182892, + 73682100 + ], + [ + 66290849, + 40204361 + ], + [ + 93083466, + 18410699 + ], + [ + 28788229, + 26095223 + ], + [ + 52013970, + 79580011 + ], + [ + 11002683, + 95942376 + ], + [ + 7099328, + 52514203 + ], + [ + 70674309, + 11331655 + ], + [ + 38188856, + 35099394 + ], + [ + 55083295, + 43319389 + ], + [ + 84918558, + 41971343 + ], + [ + 43594973, + 24175987 + ], + [ + 88950242, + 37683448 + ], + [ + 50605724, + 18989865 + ], + [ + 15434348, + 5741104 + ], + [ + 27855148, + 23849874 + ], + [ + 80900513, + 72459700 + ], + [ + 11622665, + 9488324 + ], + [ + 37175785, + 474443 + ], + [ + 80928971, + 49857095 + ], + [ + 67760264, + 82178331 + ], + [ + 90714380, + 40615532 + ], + [ + 16663752, + 95359997 + ], + [ + 19875075, + 18096841 + ], + [ + 2274811, + 24541069 + ], + [ + 89070986, + 79139565 + ], + [ + 83398128, + 49735297 + ], + [ + 49537817, + 62189683 + ], + [ + 29607065, + 20901362 + ], + [ + 19951923, + 21015362 + ], + [ + 15025301, + 48737830 + ], + [ + 88562387, + 45349983 + ], + [ + 17438625, + 98504278 + ], + [ + 66272445, + 21304089 + ], + [ + 32183344, + 57194036 + ], + [ + 81177526, + 58869082 + ], + [ + 12363974, + 71752572 + ], + [ + 14569432, + 28882862 + ], + [ + 63836447, + 45759018 + ], + [ + 34657554, + 15826578 + ], + [ + 87505748, + 32938751 + ], + [ + 94807798, + 38809185 + ], + [ + 26548093, + 615358 + ], + [ + 75509633, + 82721655 + ], + [ + 60670057, + 60163652 + ], + [ + 3789518, + 75188291 + ], + [ + 11138383, + 52746167 + ], + [ + 61953757, + 82665126 + ], + [ + 96199750, + 12186369 + ], + [ + 10327401, + 99831689 + ], + [ + 44940413, + 34269374 + ], + [ + 53114713, + 52339687 + ], + [ + 56324332, + 50226314 + ], + [ + 47237860, + 331069 + ], + [ + 15514979, + 5916225 + ], + [ + 24238235, + 63761905 + ], + [ + 61841430, + 83858356 + ], + [ + 73835403, + 40848135 + ], + [ + 24368558, + 85101926 + ], + [ + 52606221, + 56500150 + ], + [ + 24973556, + 50290739 + ], + [ + 99578127, + 4646002 + ], + [ + 36296238, + 21473383 + ], + [ + 79842625, + 26662992 + ], + [ + 47724848, + 24773897 + ], + [ + 67440642, + 86637862 + ], + [ + 4644230, + 83686034 + ], + [ + 87581979, + 84052105 + ], + [ + 43401760, + 32133812 + ], + [ + 65954878, + 67215735 + ], + [ + 72503490, + 87571100 + ], + [ + 38461295, + 15595988 + ], + [ + 80241412, + 37518252 + ], + [ + 32976161, + 43920677 + ], + [ + 87923604, + 60088526 + ], + [ + 89927668, + 7014787 + ], + [ + 28317882, + 65355483 + ], + [ + 28659817, + 36266603 + ], + [ + 61799980, + 64305666 + ], + [ + 63352121, + 43950611 + ], + [ + 60698451, + 9909469 + ], + [ + 35319776, + 43031005 + ], + [ + 37903988, + 59060463 + ], + [ + 35041623, + 10800763 + ], + [ + 14847470, + 74143673 + ], + [ + 69974524, + 44445507 + ], + [ + 25317314, + 89631361 + ], + [ + 34645665, + 64637182 + ], + [ + 10997470, + 49746409 + ], + [ + 82336770, + 68520325 + ], + [ + 35721290, + 80854165 + ], + [ + 66506676, + 62022115 + ], + [ + 28981644, + 37218370 + ], + [ + 17495854, + 39455869 + ], + [ + 44949478, + 2691169 + ], + [ + 12453047, + 94904845 + ], + [ + 11260003, + 39944796 + ], + [ + 64955867, + 87286527 + ], + [ + 75540796, + 97034571 + ], + [ + 42579197, + 8318346 + ], + [ + 89632103, + 59121984 + ], + [ + 23644810, + 45389689 + ], + [ + 5474562, + 65815074 + ], + [ + 78577438, + 95415545 + ], + [ + 35375893, + 72814407 + ], + [ + 39664595, + 53699568 + ], + [ + 55063263, + 56819177 + ], + [ + 69694358, + 96056893 + ], + [ + 23729951, + 43029566 + ], + [ + 22164783, + 62415855 + ], + [ + 88007858, + 19450826 + ], + [ + 66359709, + 53614463 + ], + [ + 77354616, + 98358694 + ], + [ + 29196789, + 51804336 + ], + [ + 98041524, + 98816200 + ], + [ + 29200789, + 15764153 + ], + [ + 3856461, + 18229353 + ], + [ + 71872910, + 99133101 + ], + [ + 55947784, + 23955706 + ], + [ + 99173763, + 60068543 + ], + [ + 8865002, + 57742962 + ], + [ + 1848572, + 75513145 + ], + [ + 12382323, + 39317671 + ], + [ + 30109002, + 42885296 + ], + [ + 58172839, + 86953513 + ], + [ + 19829339, + 95292984 + ], + [ + 10061770, + 69182959 + ], + [ + 83744233, + 53102682 + ], + [ + 93124612, + 23094496 + ], + [ + 97877511, + 44473992 + ], + [ + 27696010, + 29121554 + ], + [ + 4193709, + 19640212 + ], + [ + 32539150, + 53155584 + ], + [ + 67415382, + 87180993 + ], + [ + 19996697, + 78110959 + ], + [ + 57872346, + 92675981 + ], + [ + 19909286, + 54008592 + ], + [ + 50354338, + 64262667 + ], + [ + 4385212, + 7857024 + ], + [ + 78525997, + 3422781 + ], + [ + 23249487, + 60438525 + ], + [ + 69179285, + 12537524 + ], + [ + 11395425, + 80192315 + ], + [ + 37068135, + 1804405 + ], + [ + 31039632, + 88783722 + ], + [ + 37811494, + 24147008 + ], + [ + 72025809, + 98156817 + ], + [ + 84715727, + 31385806 + ], + [ + 14096161, + 80736891 + ], + [ + 79031263, + 89511940 + ], + [ + 62706521, + 12122394 + ], + [ + 82674388, + 57052367 + ], + [ + 31978169, + 84539506 + ], + [ + 20627044, + 57369015 + ], + [ + 94338408, + 8457537 + ], + [ + 32455011, + 6320685 + ], + [ + 69871791, + 67832789 + ], + [ + 11985500, + 99078002 + ], + [ + 71177112, + 73368790 + ], + [ + 78736404, + 82313883 + ], + [ + 11600896, + 83959531 + ], + [ + 30345017, + 6378371 + ], + [ + 39323506, + 55891567 + ], + [ + 77446522, + 8829543 + ], + [ + 44647684, + 76619057 + ], + [ + 95940740, + 67937461 + ], + [ + 10693349, + 93913415 + ], + [ + 65781172, + 52201816 + ], + [ + 3760903, + 28718766 + ], + [ + 7636735, + 3961989 + ], + [ + 62396911, + 56729857 + ], + [ + 445372, + 75294894 + ], + [ + 38442428, + 30895727 + ], + [ + 69971652, + 64680000 + ], + [ + 41114497, + 19506792 + ], + [ + 31260090, + 41639567 + ], + [ + 27930264, + 30427280 + ], + [ + 61901437, + 57225341 + ], + [ + 47700858, + 67257653 + ], + [ + 48840296, + 77533905 + ], + [ + 40477011, + 15081633 + ], + [ + 1969521, + 97207474 + ], + [ + 79689603, + 89651230 + ], + [ + 91130603, + 42567103 + ], + [ + 27015500, + 42858076 + ], + [ + 88745890, + 2326953 + ], + [ + 88157337, + 94934001 + ], + [ + 28199648, + 6680853 + ], + [ + 19404727, + 5563315 + ], + [ + 94470102, + 53702901 + ], + [ + 18228140, + 84278250 + ], + [ + 57569332, + 43042788 + ], + [ + 29946900, + 82305557 + ], + [ + 56016316, + 7315210 + ], + [ + 10190005, + 86923078 + ], + [ + 78924548, + 77166091 + ], + [ + 89123845, + 3223090 + ], + [ + 56660359, + 12883730 + ], + [ + 47207055, + 78194866 + ], + [ + 87528288, + 10568075 + ], + [ + 98159370, + 74313191 + ], + [ + 79203172, + 64770345 + ], + [ + 15890564, + 71726524 + ], + [ + 49980632, + 19524695 + ], + [ + 68301680, + 63394694 + ], + [ + 22431717, + 90812793 + ], + [ + 26555633, + 3688787 + ], + [ + 56694544, + 86847528 + ], + [ + 6324853, + 73291040 + ], + [ + 90885608, + 2618256 + ], + [ + 82042930, + 465746 + ], + [ + 23358605, + 29379992 + ], + [ + 81341224, + 83552669 + ], + [ + 69131114, + 34347236 + ], + [ + 46837556, + 85421470 + ], + [ + 77359360, + 93167552 + ], + [ + 1180201, + 23297200 + ], + [ + 18802655, + 72066677 + ], + [ + 47099639, + 26869276 + ], + [ + 347961, + 84181975 + ], + [ + 19802189, + 90940455 + ], + [ + 57062448, + 91329315 + ], + [ + 26040377, + 37567619 + ], + [ + 1715437, + 80166633 + ], + [ + 93961285, + 29198726 + ], + [ + 30222804, + 38883507 + ], + [ + 56304083, + 74890408 + ], + [ + 17135957, + 64433885 + ], + [ + 60062126, + 96697676 + ], + [ + 6776008, + 39466817 + ], + [ + 42452849, + 93400158 + ], + [ + 75987204, + 54322212 + ], + [ + 6829610, + 41843841 + ], + [ + 14646109, + 83816106 + ], + [ + 88747497, + 68541956 + ], + [ + 25467535, + 41916810 + ], + [ + 68294149, + 21873061 + ], + [ + 2354543, + 64143077 + ], + [ + 24688597, + 8012465 + ], + [ + 75466256, + 84857282 + ], + [ + 66586505, + 19430050 + ], + [ + 28478490, + 16151482 + ], + [ + 25914571, + 11740329 + ], + [ + 63404925, + 5800875 + ], + [ + 56973195, + 42754889 + ], + [ + 31409691, + 21533386 + ], + [ + 54825034, + 7985256 + ], + [ + 20583143, + 65497933 + ], + [ + 34137553, + 12523878 + ], + [ + 45336809, + 63503409 + ], + [ + 26683899, + 31186341 + ], + [ + 14179379, + 43616039 + ], + [ + 857532, + 31697090 + ], + [ + 45093593, + 8619997 + ], + [ + 54337445, + 72511952 + ], + [ + 87115483, + 67716727 + ], + [ + 17809157, + 65277180 + ], + [ + 7335806, + 55196158 + ], + [ + 19910523, + 88930196 + ], + [ + 43741302, + 67174463 + ], + [ + 71547323, + 72876163 + ], + [ + 88236782, + 75690423 + ], + [ + 31150183, + 45702383 + ], + [ + 56170264, + 54575575 + ], + [ + 39038027, + 24534016 + ], + [ + 95210582, + 11344070 + ], + [ + 94261708, + 45802057 + ], + [ + 93307331, + 99720057 + ], + [ + 96991729, + 71112484 + ], + [ + 37094766, + 50435674 + ], + [ + 32393764, + 7117383 + ], + [ + 79788085, + 97031779 + ], + [ + 40360080, + 45462718 + ], + [ + 24546351, + 32531732 + ], + [ + 49264464, + 7571435 + ], + [ + 53407437, + 58209141 + ], + [ + 40796455, + 29265814 + ], + [ + 25468098, + 21761159 + ], + [ + 29306965, + 1583826 + ], + [ + 71642713, + 33109306 + ], + [ + 52640305, + 78755805 + ], + [ + 55049332, + 86151932 + ], + [ + 46395871, + 30970269 + ], + [ + 18388113, + 80818177 + ], + [ + 41566903, + 26327916 + ], + [ + 27129846, + 17357934 + ], + [ + 75350022, + 91631773 + ], + [ + 55139560, + 80438582 + ], + [ + 87790984, + 48641828 + ], + [ + 62592101, + 71733119 + ], + [ + 62072630, + 95406316 + ], + [ + 31993327, + 21761349 + ], + [ + 28199377, + 46181382 + ], + [ + 28931081, + 91396338 + ], + [ + 32835225, + 36236828 + ], + [ + 33632332, + 18650993 + ], + [ + 43522422, + 21907904 + ], + [ + 27153942, + 73246864 + ], + [ + 71134330, + 86815249 + ], + [ + 54439434, + 84713398 + ], + [ + 33626185, + 57740934 + ], + [ + 825666, + 73447481 + ], + [ + 32865207, + 14468167 + ], + [ + 17250508, + 32335737 + ], + [ + 42110343, + 26992694 + ], + [ + 43144617, + 33962829 + ], + [ + 2859328, + 37726024 + ], + [ + 83521565, + 61605003 + ], + [ + 79963054, + 8376836 + ], + [ + 91101926, + 43057278 + ], + [ + 23431726, + 55700469 + ], + [ + 24408452, + 90655201 + ], + [ + 44350828, + 24059349 + ], + [ + 78472568, + 20964561 + ], + [ + 81203021, + 33770979 + ], + [ + 75572808, + 21939281 + ], + [ + 81473201, + 30769976 + ], + [ + 1683162, + 56558809 + ], + [ + 24797745, + 87815421 + ], + [ + 21045420, + 95194767 + ], + [ + 87570683, + 38976840 + ], + [ + 22226536, + 54559504 + ], + [ + 89716628, + 99073467 + ], + [ + 92176142, + 66067374 + ], + [ + 11914889, + 41431351 + ], + [ + 21701978, + 41889188 + ], + [ + 69331828, + 28174112 + ], + [ + 59361118, + 59017859 + ], + [ + 40397543, + 91723401 + ], + [ + 74388136, + 59632520 + ], + [ + 18288762, + 76978280 + ], + [ + 91363547, + 56389027 + ], + [ + 81195880, + 65535556 + ], + [ + 30002927, + 65830887 + ], + [ + 69723560, + 4833237 + ], + [ + 79739387, + 66191746 + ], + [ + 12040492, + 20925892 + ], + [ + 87037163, + 99838138 + ], + [ + 31854218, + 7989074 + ], + [ + 84311385, + 30915293 + ], + [ + 65094805, + 36140208 + ], + [ + 1762235, + 57645167 + ], + [ + 19188360, + 38671419 + ], + [ + 71043641, + 57724349 + ], + [ + 45431886, + 49604542 + ], + [ + 10890474, + 26351756 + ], + [ + 37177637, + 11032503 + ], + [ + 9734516, + 74756716 + ], + [ + 67687308, + 25354135 + ], + [ + 85533374, + 83266988 + ], + [ + 32768331, + 60979779 + ], + [ + 58929101, + 95880388 + ], + [ + 2953458, + 25617301 + ], + [ + 58554380, + 16093496 + ], + [ + 19038825, + 58828356 + ], + [ + 6464034, + 1041403 + ], + [ + 53234488, + 87044342 + ], + [ + 81414767, + 68177302 + ], + [ + 50024363, + 59545486 + ], + [ + 52404708, + 90118947 + ], + [ + 2916585, + 12716967 + ], + [ + 63739870, + 93555147 + ], + [ + 20199367, + 67067697 + ], + [ + 72763908, + 57980789 + ], + [ + 65468694, + 57353809 + ], + [ + 10795183, + 66634878 + ], + [ + 39816012, + 96003452 + ], + [ + 34582058, + 54557213 + ], + [ + 1173575, + 94526505 + ], + [ + 264121, + 82303881 + ], + [ + 14985169, + 99367479 + ], + [ + 87893233, + 81298312 + ], + [ + 84407550, + 35143833 + ], + [ + 47011404, + 67736958 + ], + [ + 83350104, + 81610146 + ], + [ + 67302455, + 58719829 + ], + [ + 69712328, + 51095569 + ], + [ + 31307715, + 37991432 + ], + [ + 43742788, + 49152676 + ], + [ + 25919242, + 55030228 + ], + [ + 91969943, + 80113955 + ], + [ + 88919268, + 10768914 + ], + [ + 59379105, + 71170956 + ], + [ + 56998155, + 47284460 + ], + [ + 96413210, + 69260015 + ], + [ + 57083651, + 39699799 + ], + [ + 68682051, + 48008021 + ], + [ + 94700179, + 60796421 + ], + [ + 98800774, + 75343015 + ], + [ + 61491359, + 50204122 + ], + [ + 98302770, + 37400304 + ], + [ + 82687209, + 62188886 + ], + [ + 8118162, + 29197675 + ], + [ + 69820410, + 22127514 + ], + [ + 66502450, + 90751167 + ], + [ + 79817610, + 5677984 + ], + [ + 56785664, + 87962968 + ], + [ + 75144590, + 87570908 + ], + [ + 51370144, + 88476719 + ], + [ + 44419311, + 45169414 + ], + [ + 33585446, + 84851630 + ], + [ + 70516175, + 36499693 + ], + [ + 80689618, + 49110367 + ], + [ + 35876717, + 32205414 + ], + [ + 6513278, + 90150545 + ], + [ + 67490561, + 77384903 + ], + [ + 72455043, + 60273904 + ], + [ + 30911723, + 60905613 + ], + [ + 70496960, + 38953015 + ], + [ + 50401239, + 12201592 + ], + [ + 9808320, + 14763304 + ], + [ + 57786749, + 4350918 + ], + [ + 19416396, + 84364494 + ], + [ + 49148991, + 80799583 + ], + [ + 99121435, + 10204180 + ], + [ + 15857854, + 18003867 + ], + [ + 87231788, + 70787305 + ], + [ + 77412117, + 60186984 + ], + [ + 69673047, + 20159125 + ], + [ + 48938523, + 11480482 + ], + [ + 25431664, + 66571184 + ], + [ + 2766022, + 14037129 + ], + [ + 45569520, + 87973958 + ], + [ + 82130837, + 68048314 + ], + [ + 99433635, + 79007100 + ], + [ + 87664560, + 40959626 + ], + [ + 40804031, + 78429736 + ], + [ + 43132750, + 73931083 + ], + [ + 62785255, + 31770378 + ], + [ + 63002354, + 43519528 + ], + [ + 28039600, + 36354803 + ], + [ + 49355277, + 94347674 + ], + [ + 10689159, + 45483227 + ], + [ + 94444031, + 32546500 + ], + [ + 19130185, + 64017022 + ], + [ + 75453991, + 95959759 + ], + [ + 67977692, + 75415178 + ], + [ + 23635178, + 11004345 + ], + [ + 31907128, + 70307018 + ], + [ + 9562837, + 56972226 + ], + [ + 53239295, + 20986794 + ], + [ + 57826055, + 62049631 + ], + [ + 39027637, + 1869567 + ], + [ + 44702044, + 26637377 + ], + [ + 20906714, + 17162568 + ], + [ + 93916125, + 25612461 + ], + [ + 73380914, + 77447748 + ], + [ + 67299356, + 24952804 + ], + [ + 42787253, + 52923893 + ], + [ + 11051200, + 8344153 + ], + [ + 93687548, + 91290011 + ], + [ + 63152351, + 66649918 + ], + [ + 49152137, + 95092130 + ], + [ + 25089163, + 32120135 + ], + [ + 99351158, + 26816138 + ], + [ + 57051055, + 91324866 + ], + [ + 38575748, + 8499051 + ], + [ + 70992985, + 7833553 + ], + [ + 74522485, + 13966531 + ], + [ + 44138982, + 41177350 + ], + [ + 51810118, + 52407504 + ], + [ + 21104920, + 38447477 + ], + [ + 80690224, + 66960132 + ], + [ + 32939912, + 21990008 + ], + [ + 55639812, + 2885385 + ], + [ + 17214678, + 46254948 + ], + [ + 75808833, + 57554578 + ], + [ + 72205338, + 87967549 + ], + [ + 54408650, + 3695188 + ], + [ + 13109498, + 56513106 + ], + [ + 28102765, + 8382158 + ], + [ + 34316329, + 10106840 + ], + [ + 14128558, + 35475533 + ], + [ + 65935084, + 75025107 + ], + [ + 14865989, + 76805328 + ], + [ + 69083393, + 75042611 + ], + [ + 50734763, + 28241240 + ], + [ + 22367570, + 896599 + ], + [ + 53448113, + 32041946 + ], + [ + 76159910, + 30122178 + ], + [ + 32217564, + 17848682 + ], + [ + 37399908, + 22873576 + ], + [ + 94835539, + 35611816 + ], + [ + 58165033, + 89019302 + ], + [ + 59626450, + 89967593 + ], + [ + 75481195, + 88934455 + ], + [ + 46655978, + 3799300 + ], + [ + 79015046, + 92770948 + ], + [ + 13506336, + 39561816 + ], + [ + 78893322, + 18061181 + ], + [ + 66659293, + 60596453 + ], + [ + 52964121, + 93306224 + ], + [ + 14007891, + 5994082 + ], + [ + 41184778, + 20555943 + ], + [ + 38464209, + 47682687 + ], + [ + 62429233, + 4743234 + ], + [ + 18960744, + 84845834 + ], + [ + 16981145, + 24999455 + ], + [ + 63823619, + 75597905 + ], + [ + 11660375, + 9582178 + ], + [ + 84682305, + 85256268 + ], + [ + 34182786, + 83055030 + ], + [ + 69125169, + 66236272 + ], + [ + 37186325, + 69494914 + ], + [ + 50144056, + 28212730 + ], + [ + 44603172, + 12155779 + ], + [ + 40657492, + 40382174 + ], + [ + 99109695, + 85554099 + ], + [ + 92230931, + 28198509 + ], + [ + 64336947, + 42223515 + ], + [ + 58425685, + 59837 + ], + [ + 93955422, + 92245890 + ], + [ + 46815455, + 29103602 + ], + [ + 56110760, + 68178730 + ], + [ + 11701886, + 12547180 + ], + [ + 79601145, + 73312191 + ], + [ + 23094242, + 43749734 + ], + [ + 36072683, + 8888097 + ], + [ + 57870521, + 26649785 + ], + [ + 65438543, + 95092095 + ], + [ + 97982731, + 8281544 + ], + [ + 69882328, + 50516075 + ], + [ + 99228184, + 84559320 + ], + [ + 77964431, + 65746155 + ], + [ + 79968882, + 29086778 + ], + [ + 577656, + 25486802 + ], + [ + 88244556, + 33729027 + ], + [ + 85364526, + 66305603 + ], + [ + 99811056, + 4375441 + ], + [ + 16818067, + 32074143 + ], + [ + 20393255, + 34648024 + ], + [ + 24293391, + 74525508 + ], + [ + 97733754, + 10420172 + ], + [ + 15943259, + 53558391 + ], + [ + 32529205, + 47926230 + ], + [ + 63965315, + 81455336 + ], + [ + 63206775, + 22480700 + ], + [ + 1386765, + 34477987 + ], + [ + 94606460, + 80773540 + ], + [ + 6006115, + 43252916 + ], + [ + 89173491, + 91466093 + ], + [ + 72121763, + 47403694 + ], + [ + 75700238, + 83307252 + ], + [ + 29504414, + 72979819 + ], + [ + 50933563, + 40869227 + ], + [ + 88599953, + 45981517 + ], + [ + 98193304, + 883571 + ], + [ + 89692317, + 43442044 + ], + [ + 90445677, + 42563313 + ], + [ + 7074445, + 88505953 + ], + [ + 42001633, + 72859573 + ], + [ + 79435252, + 67586918 + ], + [ + 39674717, + 5929606 + ], + [ + 38580219, + 2991372 + ], + [ + 34833031, + 37167490 + ], + [ + 4765177, + 59395715 + ], + [ + 47343477, + 15399249 + ], + [ + 21773915, + 89316781 + ], + [ + 96577753, + 54921199 + ], + [ + 50920778, + 43834840 + ], + [ + 60555109, + 55614311 + ], + [ + 10176320, + 89496332 + ], + [ + 38767903, + 96089986 + ], + [ + 6577632, + 89342137 + ], + [ + 5901515, + 79133199 + ], + [ + 55641605, + 48606177 + ], + [ + 67882774, + 2630148 + ], + [ + 19878165, + 96878441 + ], + [ + 53892351, + 76307642 + ], + [ + 83646829, + 56664652 + ], + [ + 50885494, + 25691430 + ], + [ + 24355144, + 70419918 + ], + [ + 11753902, + 47570261 + ], + [ + 28177719, + 79579525 + ], + [ + 8575463, + 1050625 + ], + [ + 32231527, + 83017587 + ], + [ + 80573709, + 53355267 + ], + [ + 21381988, + 50048474 + ], + [ + 28615262, + 11756465 + ], + [ + 20835696, + 52638343 + ], + [ + 97319702, + 44054655 + ], + [ + 41965925, + 60923145 + ], + [ + 57535579, + 59479741 + ], + [ + 47691136, + 40016161 + ], + [ + 11366315, + 29986947 + ], + [ + 69387574, + 98729274 + ], + [ + 90680730, + 52726567 + ], + [ + 29971716, + 43173070 + ], + [ + 92408356, + 22172552 + ], + [ + 69633998, + 11391580 + ], + [ + 66015214, + 32580945 + ], + [ + 63225328, + 94571225 + ], + [ + 84690032, + 92244156 + ], + [ + 69190529, + 1280291 + ], + [ + 61371689, + 80467057 + ], + [ + 37290575, + 59258229 + ], + [ + 28801656, + 10231269 + ], + [ + 59626206, + 35837717 + ], + [ + 21389479, + 49238685 + ], + [ + 18236539, + 47987666 + ], + [ + 38948618, + 98963259 + ], + [ + 94161341, + 85460306 + ], + [ + 88798705, + 63396549 + ], + [ + 21209179, + 30165891 + ], + [ + 3634256, + 32476948 + ], + [ + 2980164, + 76365414 + ], + [ + 71012128, + 20493021 + ], + [ + 18489111, + 47862809 + ], + [ + 86820289, + 92342541 + ], + [ + 63799424, + 43318911 + ], + [ + 34279324, + 83005974 + ], + [ + 67099126, + 93106947 + ], + [ + 52673037, + 63989569 + ], + [ + 28976921, + 23688449 + ], + [ + 75012774, + 82169878 + ], + [ + 82009112, + 24211176 + ], + [ + 258596, + 76147997 + ], + [ + 28239299, + 18500752 + ], + [ + 21691263, + 41173493 + ], + [ + 68413387, + 19180073 + ], + [ + 25934727, + 19333260 + ], + [ + 68057947, + 22396114 + ], + [ + 13407946, + 49861314 + ], + [ + 2192915, + 55778886 + ], + [ + 91972094, + 4788945 + ], + [ + 31195061, + 35307798 + ], + [ + 15708873, + 17198205 + ], + [ + 10812346, + 7260479 + ], + [ + 61442308, + 62215578 + ], + [ + 40704578, + 30493073 + ], + [ + 82036412, + 97477331 + ], + [ + 93181533, + 23346433 + ], + [ + 31820966, + 40027616 + ], + [ + 4649921, + 66613455 + ], + [ + 85788297, + 29133644 + ], + [ + 85091188, + 31701900 + ], + [ + 55161676, + 53629839 + ], + [ + 38624501, + 22525479 + ], + [ + 65334478, + 30542350 + ], + [ + 94271494, + 63054766 + ], + [ + 81401540, + 11996280 + ], + [ + 64261334, + 93677836 + ], + [ + 12805740, + 47639827 + ], + [ + 9211331, + 99097305 + ], + [ + 40275003, + 86048962 + ], + [ + 10648689, + 31720231 + ], + [ + 92614962, + 65919197 + ], + [ + 98227494, + 97534051 + ], + [ + 68019517, + 75290848 + ], + [ + 24192672, + 71429059 + ], + [ + 90031201, + 88546006 + ], + [ + 43968237, + 33727822 + ], + [ + 46940045, + 6942810 + ], + [ + 56122461, + 90311093 + ], + [ + 54626499, + 26684654 + ], + [ + 87144583, + 21286575 + ], + [ + 99792105, + 28221858 + ], + [ + 46812171, + 65542023 + ], + [ + 6180073, + 48395387 + ], + [ + 96993041, + 92064167 + ], + [ + 28948738, + 56174074 + ], + [ + 8730293, + 2715092 + ], + [ + 29262086, + 5940843 + ], + [ + 22397300, + 66315919 + ], + [ + 83918252, + 15769504 + ], + [ + 48168106, + 59891005 + ], + [ + 5188032, + 46574358 + ], + [ + 27710153, + 89725221 + ], + [ + 50149967, + 37801579 + ], + [ + 40732574, + 48189733 + ], + [ + 33288583, + 70644140 + ], + [ + 99098864, + 77390014 + ], + [ + 19085304, + 74557138 + ], + [ + 20890904, + 48652343 + ], + [ + 88263725, + 81780808 + ], + [ + 47583033, + 61159538 + ], + [ + 40890895, + 69795532 + ], + [ + 71080359, + 41454963 + ], + [ + 30703371, + 88831530 + ], + [ + 24309557, + 41612556 + ], + [ + 97973637, + 80814310 + ], + [ + 74572163, + 88941770 + ], + [ + 9541467, + 70046923 + ], + [ + 16220414, + 97237983 + ], + [ + 92960527, + 95754186 + ], + [ + 66533708, + 4179288 + ], + [ + 71381520, + 51890851 + ], + [ + 19355147, + 29141298 + ], + [ + 60683018, + 12565598 + ], + [ + 76523051, + 50574856 + ], + [ + 25395284, + 6323196 + ], + [ + 56409408, + 74792707 + ], + [ + 25760375, + 58676987 + ], + [ + 57554002, + 62978513 + ], + [ + 10627056, + 54181583 + ], + [ + 68820725, + 15398988 + ], + [ + 27991611, + 83284096 + ], + [ + 49109042, + 54485688 + ], + [ + 45522766, + 82826406 + ], + [ + 12955694, + 9164680 + ], + [ + 23940401, + 82717546 + ], + [ + 63169140, + 76695926 + ], + [ + 86314912, + 33735237 + ], + [ + 11383834, + 67789061 + ], + [ + 11131553, + 57160537 + ], + [ + 16318335, + 74962173 + ], + [ + 86679830, + 69282244 + ], + [ + 4426593, + 2466478 + ], + [ + 12244788, + 55910736 + ], + [ + 23536516, + 80285714 + ], + [ + 10743705, + 52529401 + ], + [ + 83838129, + 9154818 + ], + [ + 5328527, + 11623283 + ], + [ + 62926563, + 68719932 + ], + [ + 36832834, + 53985753 + ], + [ + 22790090, + 377420 + ], + [ + 93231283, + 24956392 + ], + [ + 31777343, + 47410909 + ], + [ + 40232591, + 68722619 + ], + [ + 66837121, + 89452633 + ], + [ + 21048980, + 21680809 + ], + [ + 32643512, + 78522661 + ], + [ + 14686027, + 14684002 + ], + [ + 58868992, + 37359695 + ], + [ + 52890979, + 72436743 + ], + [ + 38278686, + 94453523 + ], + [ + 42647732, + 24113360 + ], + [ + 32766446, + 41921030 + ], + [ + 77619611, + 54548315 + ], + [ + 59250686, + 73702221 + ], + [ + 27712991, + 63226969 + ], + [ + 29145959, + 12621469 + ], + [ + 19077974, + 42628255 + ], + [ + 97169695, + 82945558 + ], + [ + 15958725, + 45734577 + ], + [ + 44811109, + 20355162 + ], + [ + 40618226, + 364340 + ], + [ + 93530204, + 67621509 + ], + [ + 49261363, + 65208787 + ], + [ + 28385020, + 44027243 + ], + [ + 96500468, + 95070327 + ], + [ + 15393241, + 49372261 + ], + [ + 8554837, + 29060172 + ], + [ + 7364272, + 33092155 + ], + [ + 63795327, + 69601079 + ], + [ + 11270228, + 89251432 + ], + [ + 27904953, + 96624895 + ], + [ + 71869427, + 71881400 + ], + [ + 46131559, + 77905564 + ], + [ + 18522777, + 52815704 + ], + [ + 94144078, + 55321269 + ], + [ + 49951493, + 58100035 + ], + [ + 84498361, + 11383847 + ], + [ + 98522588, + 68375557 + ], + [ + 24995997, + 29935032 + ], + [ + 37509287, + 12648223 + ], + [ + 5394013, + 19481420 + ], + [ + 6011818, + 91380910 + ], + [ + 12618662, + 23358315 + ], + [ + 51750968, + 99840089 + ], + [ + 41300358, + 62903373 + ], + [ + 26114566, + 92792229 + ], + [ + 73258629, + 11284097 + ], + [ + 6885596, + 59576904 + ], + [ + 73826788, + 99420686 + ], + [ + 78700931, + 91650939 + ], + [ + 54783414, + 15838692 + ], + [ + 37151456, + 68312550 + ], + [ + 48664841, + 88551787 + ], + [ + 69519554, + 88146199 + ], + [ + 80564789, + 7245704 + ], + [ + 94701462, + 466662 + ], + [ + 91017555, + 55849170 + ], + [ + 18256725, + 58268305 + ], + [ + 52084838, + 95516114 + ], + [ + 48141205, + 17333724 + ], + [ + 67938486, + 15346548 + ], + [ + 6343348, + 32441345 + ], + [ + 41234101, + 96918649 + ], + [ + 1785395, + 30911786 + ], + [ + 28840296, + 95550808 + ], + [ + 75185742, + 39673253 + ], + [ + 56177588, + 60886933 + ], + [ + 31158941, + 42010950 + ], + [ + 61934352, + 49393886 + ], + [ + 11314032, + 18945033 + ], + [ + 63688179, + 84482843 + ], + [ + 69440489, + 86654877 + ], + [ + 96187306, + 72307589 + ], + [ + 46259697, + 95067274 + ], + [ + 46622804, + 39047348 + ], + [ + 45660853, + 19750305 + ], + [ + 43854080, + 79021404 + ], + [ + 46805375, + 61678730 + ], + [ + 31897191, + 63394922 + ], + [ + 2576289, + 21613069 + ], + [ + 41931252, + 33976776 + ], + [ + 9627526, + 70100091 + ], + [ + 38291961, + 80659423 + ], + [ + 11123623, + 3582110 + ], + [ + 97105357, + 88926017 + ], + [ + 87699383, + 25709417 + ], + [ + 31114259, + 8417284 + ], + [ + 64021524, + 71351696 + ], + [ + 34659238, + 53755533 + ], + [ + 79667832, + 68173848 + ], + [ + 57336289, + 31866868 + ], + [ + 37019574, + 86050979 + ], + [ + 8838402, + 84398666 + ], + [ + 89373662, + 93550596 + ], + [ + 2540692, + 78549446 + ], + [ + 59610787, + 4614979 + ], + [ + 69235791, + 97545119 + ], + [ + 64563067, + 69022126 + ], + [ + 87383437, + 8112884 + ], + [ + 71494531, + 11577631 + ], + [ + 70497982, + 70854833 + ], + [ + 31337585, + 59903992 + ], + [ + 2114591, + 86596046 + ], + [ + 58160929, + 65843037 + ], + [ + 43994386, + 86252828 + ], + [ + 52165113, + 73289051 + ], + [ + 32936923, + 63027337 + ], + [ + 74545970, + 69534115 + ], + [ + 89345799, + 47887160 + ], + [ + 61871280, + 99370725 + ], + [ + 69977990, + 89744719 + ], + [ + 47068076, + 67300064 + ], + [ + 51894741, + 7393898 + ], + [ + 99625360, + 74681566 + ], + [ + 43151415, + 16546650 + ], + [ + 3747766, + 14323133 + ], + [ + 93121794, + 85185331 + ], + [ + 92810624, + 24144319 + ], + [ + 84979898, + 44983407 + ], + [ + 94888794, + 26617274 + ], + [ + 73457963, + 1508511 + ], + [ + 56813471, + 25724557 + ], + [ + 38418263, + 74256242 + ], + [ + 55926230, + 67782039 + ], + [ + 70322679, + 92135649 + ], + [ + 41584472, + 11977116 + ], + [ + 30768330, + 34950490 + ], + [ + 47500671, + 56752276 + ], + [ + 36529877, + 99957970 + ], + [ + 70443214, + 24910925 + ], + [ + 36306853, + 59896141 + ], + [ + 35779931, + 36768093 + ], + [ + 16761345, + 42243831 + ], + [ + 53890088, + 30513202 + ], + [ + 30858152, + 21861958 + ], + [ + 60620730, + 7492966 + ], + [ + 51891305, + 67160667 + ], + [ + 21202277, + 82512484 + ], + [ + 35459152, + 49514961 + ], + [ + 25227733, + 50349849 + ], + [ + 42648666, + 5950511 + ], + [ + 10524531, + 79875057 + ], + [ + 26050790, + 17601767 + ], + [ + 77383186, + 75127274 + ], + [ + 42698699, + 24109816 + ], + [ + 47025422, + 35779143 + ], + [ + 29420981, + 95124739 + ], + [ + 1015644, + 53296129 + ], + [ + 61883616, + 79413852 + ], + [ + 78394862, + 40334916 + ], + [ + 92805838, + 52924782 + ], + [ + 41002168, + 4848565 + ], + [ + 86880672, + 64916298 + ], + [ + 59341184, + 31289156 + ], + [ + 91064660, + 54121648 + ], + [ + 5700124, + 79118798 + ], + [ + 58348032, + 89393287 + ], + [ + 62326702, + 62947521 + ], + [ + 98450488, + 76103369 + ], + [ + 76461708, + 39027672 + ], + [ + 47429343, + 44909687 + ], + [ + 50238846, + 97621428 + ], + [ + 73943755, + 15548118 + ], + [ + 22092246, + 65278980 + ], + [ + 30019529, + 74112922 + ], + [ + 53914830, + 43000833 + ], + [ + 48307986, + 34689056 + ], + [ + 4425377, + 25046946 + ], + [ + 50584449, + 66319891 + ], + [ + 82481734, + 8425679 + ], + [ + 83612607, + 97503453 + ], + [ + 91896600, + 7355909 + ], + [ + 27247412, + 83977909 + ], + [ + 58911794, + 22135274 + ], + [ + 58615003, + 97730125 + ], + [ + 63807428, + 61629279 + ], + [ + 70655979, + 48861206 + ], + [ + 5876093, + 1935152 + ], + [ + 88137057, + 64661427 + ], + [ + 38990126, + 31168714 + ], + [ + 59411659, + 98011440 + ], + [ + 56229741, + 92387930 + ], + [ + 7058846, + 94419374 + ], + [ + 69659593, + 77847021 + ], + [ + 52353051, + 25519670 + ], + [ + 86295866, + 58048773 + ], + [ + 72363415, + 3413831 + ], + [ + 64593427, + 51282333 + ], + [ + 78615845, + 88014728 + ], + [ + 90496547, + 50505300 + ], + [ + 73356947, + 9092839 + ], + [ + 93966395, + 81670619 + ], + [ + 83906934, + 14837512 + ], + [ + 29374112, + 62417642 + ], + [ + 12793233, + 33447229 + ], + [ + 65270176, + 25432091 + ], + [ + 47559144, + 43234916 + ], + [ + 87039619, + 80461344 + ], + [ + 23161964, + 84550523 + ], + [ + 41945189, + 12858353 + ], + [ + 88592453, + 31091717 + ], + [ + 38980185, + 94483512 + ], + [ + 46791609, + 99163980 + ], + [ + 90155138, + 5652598 + ], + [ + 11975693, + 88081539 + ], + [ + 86435576, + 16411610 + ], + [ + 93643209, + 3935822 + ], + [ + 20704127, + 47912539 + ], + [ + 18197711, + 39891787 + ], + [ + 53452112, + 32821988 + ], + [ + 29163836, + 15340342 + ], + [ + 82974343, + 24204183 + ], + [ + 59835426, + 48772271 + ], + [ + 21383987, + 88349525 + ], + [ + 16180440, + 52615977 + ], + [ + 75174162, + 15306033 + ], + [ + 44799259, + 9172039 + ], + [ + 223126, + 14753219 + ], + [ + 17041749, + 87636735 + ], + [ + 51008623, + 48414356 + ], + [ + 75055328, + 61394193 + ], + [ + 74688568, + 65920409 + ], + [ + 4451663, + 87528152 + ], + [ + 12181704, + 47277118 + ], + [ + 46278841, + 60423466 + ], + [ + 80869953, + 61633628 + ], + [ + 26758105, + 28903766 + ], + [ + 23783034, + 85361625 + ], + [ + 57571114, + 13784012 + ], + [ + 59371403, + 69446281 + ], + [ + 92477773, + 45610789 + ], + [ + 16429686, + 86936102 + ], + [ + 77979400, + 55247484 + ], + [ + 90248557, + 77332915 + ], + [ + 98159617, + 87133167 + ], + [ + 52911117, + 61684498 + ], + [ + 50035345, + 39504561 + ], + [ + 27138978, + 30611813 + ], + [ + 81118850, + 63919674 + ], + [ + 11113530, + 41882097 + ], + [ + 18002272, + 86220977 + ], + [ + 68370438, + 99293142 + ], + [ + 74804519, + 45983978 + ], + [ + 34619752, + 92810627 + ], + [ + 33907716, + 47668925 + ], + [ + 62294362, + 26854340 + ], + [ + 74190363, + 31144915 + ], + [ + 64331653, + 6106079 + ], + [ + 21338070, + 71147533 + ], + [ + 51456835, + 48496537 + ], + [ + 59316862, + 33262459 + ], + [ + 26108984, + 11305478 + ], + [ + 36683854, + 72028703 + ], + [ + 78124110, + 12990309 + ], + [ + 15619162, + 92105690 + ], + [ + 52594247, + 57401769 + ], + [ + 87914847, + 93146132 + ], + [ + 57277332, + 18228845 + ], + [ + 72848412, + 79729574 + ], + [ + 74293627, + 92932114 + ], + [ + 10984377, + 29226838 + ], + [ + 4180416, + 98861348 + ], + [ + 35822844, + 62678103 + ], + [ + 57262814, + 69660820 + ], + [ + 89644600, + 2891396 + ], + [ + 95612465, + 92539391 + ], + [ + 94529218, + 62807337 + ], + [ + 73669905, + 33230147 + ], + [ + 61860381, + 19802435 + ], + [ + 45811859, + 62051810 + ], + [ + 53366464, + 95933103 + ], + [ + 13504612, + 5014461 + ], + [ + 75502420, + 20782313 + ], + [ + 27905760, + 90663813 + ], + [ + 35749983, + 3644383 + ], + [ + 47024934, + 44151453 + ], + [ + 96641472, + 46290103 + ], + [ + 2685620, + 77983410 + ], + [ + 56448142, + 60751992 + ], + [ + 49555578, + 95110211 + ], + [ + 59747943, + 73365678 + ], + [ + 84454477, + 50636664 + ], + [ + 91211946, + 99102711 + ], + [ + 7368220, + 33192499 + ], + [ + 94888663, + 53801055 + ], + [ + 3462978, + 99119850 + ], + [ + 43697516, + 51755219 + ], + [ + 23617970, + 86396330 + ], + [ + 62932519, + 23629909 + ], + [ + 65301658, + 70974626 + ], + [ + 2253557, + 63417312 + ], + [ + 79076734, + 6213762 + ], + [ + 80428136, + 32222246 + ], + [ + 29006030, + 46110288 + ], + [ + 80665666, + 74739522 + ], + [ + 56296586, + 41777147 + ], + [ + 37991760, + 52048180 + ], + [ + 12279849, + 84800260 + ], + [ + 30517289, + 70845815 + ], + [ + 30462507, + 33835075 + ], + [ + 46768773, + 41095625 + ], + [ + 53662586, + 17782953 + ], + [ + 46604496, + 19293586 + ], + [ + 11211515, + 58030172 + ], + [ + 63371657, + 60116232 + ], + [ + 28134925, + 6616864 + ], + [ + 89263286, + 30728579 + ], + [ + 2838821, + 27866216 + ], + [ + 26498253, + 72936213 + ], + [ + 13620315, + 98519267 + ], + [ + 92017144, + 93582255 + ], + [ + 6653708, + 28294685 + ], + [ + 79432148, + 51735703 + ], + [ + 99559531, + 60850041 + ], + [ + 73063791, + 50725006 + ], + [ + 28640110, + 76338126 + ], + [ + 94451298, + 35270849 + ], + [ + 89164220, + 56612826 + ], + [ + 33305462, + 72623013 + ], + [ + 71933276, + 14241663 + ], + [ + 62253332, + 43663776 + ], + [ + 70120005, + 11272656 + ], + [ + 37218845, + 98714173 + ], + [ + 62399563, + 32143067 + ], + [ + 95447910, + 58599868 + ], + [ + 70767562, + 59816972 + ], + [ + 69787642, + 30583081 + ], + [ + 65721085, + 37644293 + ], + [ + 97412879, + 71327273 + ], + [ + 17254260, + 59370779 + ], + [ + 22574155, + 8239805 + ], + [ + 64695745, + 23554951 + ], + [ + 99024449, + 61024424 + ], + [ + 65687472, + 97887760 + ], + [ + 29576526, + 20280602 + ], + [ + 8225441, + 3130064 + ], + [ + 34325416, + 19760229 + ], + [ + 37259168, + 88029164 + ], + [ + 98643218, + 76612440 + ], + [ + 12412677, + 30683100 + ], + [ + 92678392, + 57667094 + ], + [ + 53110527, + 90050159 + ], + [ + 34331236, + 82070345 + ], + [ + 16927637, + 15426179 + ], + [ + 66962065, + 97516637 + ], + [ + 11789408, + 26297175 + ], + [ + 12709455, + 75598422 + ], + [ + 48048052, + 54854057 + ], + [ + 16466125, + 8099236 + ], + [ + 92316396, + 74387944 + ], + [ + 99557166, + 79927806 + ], + [ + 57688505, + 58226875 + ], + [ + 55532079, + 56306749 + ], + [ + 98107451, + 88420288 + ], + [ + 6986179, + 25975405 + ], + [ + 22727653, + 66970309 + ], + [ + 44782945, + 99208038 + ], + [ + 28691031, + 53172350 + ], + [ + 40468559, + 12122769 + ], + [ + 81508168, + 52777016 + ], + [ + 19596579, + 27919091 + ], + [ + 22665251, + 58028960 + ], + [ + 50178235, + 58873002 + ], + [ + 90086268, + 47455698 + ], + [ + 56210020, + 99293588 + ], + [ + 79908818, + 63379874 + ], + [ + 36789066, + 20757725 + ], + [ + 14795430, + 53526694 + ], + [ + 77349053, + 86928084 + ], + [ + 57885489, + 81847014 + ], + [ + 99366533, + 80515327 + ], + [ + 31264466, + 39011751 + ], + [ + 78468408, + 33197387 + ], + [ + 1778446, + 20289104 + ], + [ + 17453262, + 10201803 + ], + [ + 84781373, + 97564039 + ], + [ + 36371132, + 71639914 + ], + [ + 79237380, + 24880950 + ], + [ + 64925781, + 1177458 + ], + [ + 90384982, + 15032651 + ], + [ + 72609505, + 91285749 + ], + [ + 69344334, + 16512912 + ], + [ + 14212854, + 4677137 + ], + [ + 33991929, + 28057424 + ], + [ + 28639353, + 97086254 + ], + [ + 63134816, + 1767396 + ], + [ + 91488612, + 90867316 + ], + [ + 14502774, + 19006698 + ], + [ + 97773860, + 38455886 + ], + [ + 67353476, + 87141272 + ], + [ + 2471490, + 56206333 + ], + [ + 22561844, + 1667731 + ], + [ + 28435447, + 77757652 + ], + [ + 88040139, + 45883680 + ], + [ + 30052920, + 22979465 + ], + [ + 33966, + 77514474 + ], + [ + 67577620, + 23342753 + ], + [ + 97825093, + 87767070 + ], + [ + 49558762, + 61576978 + ], + [ + 54829253, + 98165523 + ], + [ + 54418003, + 65289026 + ], + [ + 6127419, + 51392373 + ], + [ + 69464200, + 79873378 + ], + [ + 90082373, + 8090331 + ], + [ + 5915116, + 5633354 + ], + [ + 30366278, + 87883584 + ], + [ + 80482529, + 40836309 + ], + [ + 7017764, + 30842145 + ], + [ + 13259880, + 51691355 + ], + [ + 97693732, + 3163003 + ], + [ + 1338590, + 15282784 + ], + [ + 84560752, + 53698739 + ], + [ + 85221026, + 23218730 + ], + [ + 30878559, + 44507230 + ], + [ + 47262685, + 66349364 + ], + [ + 9393977, + 76919036 + ], + [ + 62444611, + 35544490 + ], + [ + 46950504, + 63675066 + ], + [ + 72059892, + 7503869 + ], + [ + 36814498, + 43339440 + ], + [ + 62097925, + 28999407 + ], + [ + 23164860, + 15604756 + ], + [ + 29808916, + 62488883 + ], + [ + 89657390, + 2171129 + ], + [ + 6159123, + 36893318 + ], + [ + 83984757, + 74426805 + ], + [ + 39148858, + 7082662 + ], + [ + 8408103, + 67560398 + ], + [ + 10281169, + 2306121 + ], + [ + 38549229, + 39579063 + ], + [ + 36815570, + 19850309 + ], + [ + 21989933, + 24986654 + ], + [ + 85579541, + 40590378 + ], + [ + 84256754, + 19955613 + ], + [ + 47215551, + 24224001 + ], + [ + 59280025, + 32106689 + ], + [ + 26853649, + 12515588 + ], + [ + 4651751, + 57782029 + ], + [ + 7657809, + 2147191 + ], + [ + 19769567, + 64084304 + ], + [ + 35232317, + 63711837 + ], + [ + 39616240, + 30177280 + ], + [ + 27185027, + 54951842 + ], + [ + 44256407, + 96731040 + ], + [ + 34201613, + 41687284 + ], + [ + 47190927, + 73717192 + ], + [ + 82224035, + 51274069 + ], + [ + 77899779, + 80285346 + ], + [ + 62186456, + 13987249 + ], + [ + 95385192, + 82344258 + ], + [ + 29940557, + 94715748 + ], + [ + 44256564, + 57092992 + ], + [ + 38429856, + 31559129 + ], + [ + 48048903, + 84353952 + ], + [ + 55558112, + 43336576 + ], + [ + 79554157, + 132425 + ], + [ + 68786321, + 56860633 + ], + [ + 92687828, + 49789439 + ], + [ + 68396881, + 67723609 + ], + [ + 59856003, + 16882386 + ], + [ + 67868011, + 30581638 + ], + [ + 50099106, + 87239465 + ], + [ + 27960445, + 21833934 + ], + [ + 34269515, + 28862246 + ], + [ + 60906007, + 85280367 + ], + [ + 23823631, + 74925450 + ], + [ + 52317237, + 72081130 + ], + [ + 22286500, + 20604246 + ], + [ + 14444768, + 64953122 + ], + [ + 9029019, + 27080198 + ], + [ + 14458049, + 84434353 + ], + [ + 99864949, + 18995358 + ], + [ + 93329885, + 50029493 + ], + [ + 26394952, + 6595848 + ], + [ + 55764635, + 26316476 + ], + [ + 30017360, + 81674360 + ], + [ + 37231066, + 25708136 + ], + [ + 23072715, + 16301985 + ], + [ + 12904540, + 25918224 + ], + [ + 91051768, + 58557830 + ], + [ + 70316734, + 59348836 + ], + [ + 79955306, + 71829934 + ], + [ + 61868561, + 65647700 + ], + [ + 64117631, + 59789738 + ], + [ + 33275869, + 67717828 + ], + [ + 34084116, + 79465097 + ], + [ + 33088094, + 92354272 + ], + [ + 36935056, + 80589863 + ], + [ + 80067726, + 13339295 + ], + [ + 86981555, + 10287798 + ], + [ + 52173539, + 93070261 + ], + [ + 13536199, + 47534515 + ], + [ + 12826676, + 99669518 + ], + [ + 15137443, + 66221025 + ], + [ + 1586548, + 93441887 + ], + [ + 4223518, + 69838856 + ], + [ + 2208154, + 27070618 + ], + [ + 97651491, + 57834139 + ], + [ + 78806571, + 22081518 + ], + [ + 86433834, + 93426633 + ], + [ + 80409909, + 2457212 + ], + [ + 66704273, + 4097594 + ], + [ + 79530044, + 72424710 + ], + [ + 45228370, + 61934528 + ], + [ + 54792503, + 69398388 + ], + [ + 73240945, + 34774468 + ], + [ + 69627096, + 28400207 + ], + [ + 80990913, + 40761480 + ], + [ + 20813689, + 70019510 + ], + [ + 7811907, + 3432695 + ], + [ + 53850014, + 74085170 + ], + [ + 28203679, + 72876317 + ], + [ + 57377637, + 12814736 + ], + [ + 99106683, + 27529253 + ], + [ + 69338773, + 4089243 + ], + [ + 57968851, + 66707467 + ], + [ + 53895836, + 90008204 + ], + [ + 84705147, + 43623239 + ], + [ + 62445493, + 10576094 + ], + [ + 63281867, + 18912995 + ], + [ + 49292291, + 31288841 + ], + [ + 68489783, + 19934528 + ], + [ + 52280604, + 21349023 + ], + [ + 38075590, + 90624273 + ], + [ + 46599215, + 89547312 + ], + [ + 33863939, + 82828020 + ], + [ + 59400724, + 79864565 + ], + [ + 23688510, + 38110745 + ], + [ + 7035936, + 22941747 + ], + [ + 10117117, + 72808954 + ], + [ + 42596694, + 27742825 + ], + [ + 42816762, + 80805475 + ], + [ + 24728482, + 27010985 + ], + [ + 19785493, + 87918309 + ], + [ + 79716244, + 22269707 + ], + [ + 83127683, + 72039683 + ], + [ + 30641334, + 86181041 + ], + [ + 79628125, + 24089079 + ], + [ + 98387191, + 61613486 + ], + [ + 65123173, + 3696954 + ], + [ + 63176495, + 75669084 + ], + [ + 35930022, + 63993620 + ], + [ + 60641160, + 83336881 + ], + [ + 77029262, + 29063225 + ], + [ + 77171155, + 79320132 + ], + [ + 46359084, + 44317089 + ], + [ + 4873653, + 94800028 + ], + [ + 39770448, + 23884214 + ], + [ + 177816, + 60873215 + ], + [ + 29458682, + 49882490 + ], + [ + 99338175, + 28900172 + ], + [ + 92285773, + 24627041 + ], + [ + 80816236, + 65495130 + ], + [ + 98142814, + 15275511 + ], + [ + 47702785, + 63373898 + ], + [ + 77586992, + 77950082 + ], + [ + 65845027, + 98168593 + ], + [ + 35242077, + 13638392 + ], + [ + 87807177, + 6775450 + ], + [ + 16913069, + 75280425 + ], + [ + 77300338, + 48916140 + ], + [ + 842774, + 85566332 + ], + [ + 79870521, + 46920075 + ], + [ + 75341955, + 22089506 + ], + [ + 2725618, + 38884192 + ], + [ + 21049660, + 98598375 + ], + [ + 59660249, + 14347013 + ], + [ + 96374970, + 6659091 + ], + [ + 2690909, + 59699069 + ], + [ + 7532866, + 40401983 + ], + [ + 63396375, + 94920089 + ], + [ + 23311661, + 69247414 + ], + [ + 3055281, + 5275132 + ], + [ + 72133567, + 72529652 + ], + [ + 56353135, + 36133817 + ], + [ + 97014193, + 14404967 + ], + [ + 23868724, + 20288434 + ], + [ + 84941292, + 81946679 + ], + [ + 37428303, + 6787389 + ], + [ + 22319290, + 71061327 + ], + [ + 98100831, + 48378922 + ], + [ + 91310265, + 33388618 + ], + [ + 79630432, + 14528762 + ], + [ + 58088920, + 68254454 + ], + [ + 21027607, + 27813088 + ], + [ + 26793554, + 28068737 + ], + [ + 99540752, + 53212153 + ], + [ + 914574, + 2404982 + ], + [ + 19969648, + 95179911 + ], + [ + 85048083, + 34291894 + ], + [ + 71662980, + 79023636 + ], + [ + 7904542, + 20119706 + ], + [ + 78851870, + 57192220 + ], + [ + 27149131, + 68031733 + ], + [ + 38881948, + 74580639 + ], + [ + 24779727, + 26236937 + ], + [ + 34874629, + 74083358 + ], + [ + 5949797, + 47403006 + ], + [ + 37575934, + 14339398 + ], + [ + 42041374, + 48957287 + ], + [ + 50431780, + 56456670 + ], + [ + 40125782, + 97379620 + ], + [ + 97498111, + 84650118 + ], + [ + 57371324, + 65321610 + ], + [ + 71864618, + 52121996 + ], + [ + 54834894, + 55361819 + ], + [ + 67077065, + 16502865 + ], + [ + 53586116, + 31486520 + ], + [ + 69483205, + 47255211 + ], + [ + 4291236, + 31975580 + ], + [ + 72379940, + 87310966 + ], + [ + 7278291, + 51143060 + ], + [ + 49595505, + 48189396 + ], + [ + 79563227, + 18209744 + ], + [ + 97189273, + 47585452 + ], + [ + 989443, + 61080569 + ], + [ + 24069663, + 13505603 + ], + [ + 52481112, + 3362386 + ], + [ + 4094125, + 48949255 + ], + [ + 6827686, + 19009004 + ], + [ + 415765, + 26547262 + ], + [ + 72399439, + 91088074 + ], + [ + 98483231, + 62946692 + ], + [ + 44971310, + 72352483 + ], + [ + 62677184, + 91213343 + ], + [ + 48283479, + 12466204 + ], + [ + 10471237, + 21537993 + ], + [ + 19107620, + 271029 + ], + [ + 64683956, + 57445078 + ], + [ + 66082851, + 47617474 + ], + [ + 55953541, + 9448957 + ], + [ + 32559089, + 84745764 + ], + [ + 13544070, + 8289212 + ], + [ + 29753580, + 66280319 + ], + [ + 47590485, + 62526850 + ], + [ + 79901511, + 64890171 + ], + [ + 64110020, + 23125175 + ], + [ + 51345669, + 48963951 + ], + [ + 1515057, + 79756267 + ], + [ + 8353754, + 48585573 + ], + [ + 95498632, + 82049967 + ], + [ + 14122954, + 50701046 + ], + [ + 10049966, + 66928774 + ], + [ + 91860067, + 39572079 + ], + [ + 7728955, + 4329587 + ], + [ + 5121032, + 8646267 + ], + [ + 73537997, + 84727753 + ], + [ + 66868150, + 51287429 + ], + [ + 23202450, + 12503780 + ], + [ + 1828230, + 9684078 + ], + [ + 62828766, + 71540798 + ], + [ + 32077646, + 82040619 + ], + [ + 37807858, + 42765283 + ], + [ + 40940420, + 78274610 + ], + [ + 62735052, + 63722716 + ], + [ + 15940251, + 90267103 + ], + [ + 34559992, + 2108387 + ], + [ + 35854194, + 35794339 + ], + [ + 14147360, + 28807311 + ], + [ + 99097236, + 40658852 + ], + [ + 58300071, + 7950402 + ], + [ + 65386754, + 9445909 + ], + [ + 77796576, + 55120927 + ], + [ + 35541678, + 88610840 + ], + [ + 12942131, + 31595696 + ], + [ + 80216361, + 92608666 + ], + [ + 70089140, + 61850632 + ], + [ + 78680392, + 63572054 + ], + [ + 17955846, + 51679646 + ], + [ + 59488353, + 89930732 + ], + [ + 14911251, + 87705142 + ], + [ + 71299909, + 41159494 + ], + [ + 26271074, + 66591202 + ], + [ + 70207063, + 58984407 + ], + [ + 12935215, + 5951605 + ], + [ + 24588200, + 51842607 + ], + [ + 9474656, + 4651358 + ], + [ + 49583040, + 70829536 + ], + [ + 15905765, + 27726121 + ], + [ + 35173762, + 49297160 + ], + [ + 49743725, + 15093804 + ], + [ + 91140969, + 68454960 + ], + [ + 95494161, + 82435212 + ], + [ + 65679104, + 44783892 + ], + [ + 41369729, + 92813509 + ], + [ + 71618513, + 67262221 + ], + [ + 81876753, + 69291347 + ], + [ + 77117354, + 11849562 + ], + [ + 23998861, + 38136861 + ], + [ + 4116336, + 31111749 + ], + [ + 63808424, + 356395 + ], + [ + 36633114, + 12319310 + ], + [ + 34623152, + 78126381 + ], + [ + 89319925, + 68123124 + ], + [ + 50883422, + 49111556 + ], + [ + 89387435, + 72217820 + ], + [ + 33876135, + 30863131 + ], + [ + 38577279, + 65030679 + ], + [ + 74384270, + 43919941 + ], + [ + 87955705, + 23351865 + ], + [ + 99274400, + 92942247 + ], + [ + 1110772, + 54016382 + ], + [ + 85083822, + 11198971 + ], + [ + 85453268, + 28597337 + ], + [ + 30698961, + 86105320 + ], + [ + 4828296, + 44967896 + ], + [ + 99808033, + 23914791 + ], + [ + 35469826, + 1660046 + ], + [ + 92460838, + 13434673 + ], + [ + 91890443, + 94431547 + ], + [ + 55084261, + 36720433 + ], + [ + 5141851, + 97900539 + ], + [ + 4395692, + 58696003 + ], + [ + 55810246, + 70091795 + ], + [ + 24774537, + 17864420 + ], + [ + 95502787, + 62439505 + ], + [ + 45613706, + 11067838 + ], + [ + 3288475, + 35416478 + ], + [ + 65588694, + 25579806 + ], + [ + 6558757, + 97740364 + ], + [ + 95204700, + 70473490 + ], + [ + 91744037, + 47264872 + ], + [ + 66991321, + 75439003 + ], + [ + 56038623, + 73940794 + ], + [ + 52637645, + 66221313 + ], + [ + 67590393, + 85548984 + ], + [ + 63066927, + 75065317 + ], + [ + 14309467, + 51188834 + ], + [ + 83676325, + 99458245 + ], + [ + 98061538, + 73984809 + ], + [ + 76660225, + 18453273 + ], + [ + 46243022, + 35645229 + ], + [ + 37567223, + 67148926 + ], + [ + 35431129, + 33575428 + ], + [ + 74039601, + 71494478 + ], + [ + 25430523, + 67013942 + ], + [ + 5766212, + 74541582 + ], + [ + 91292390, + 30803581 + ], + [ + 22651877, + 50811131 + ], + [ + 20938577, + 54529729 + ], + [ + 27187667, + 45566425 + ], + [ + 69562371, + 64778334 + ], + [ + 81395224, + 81500761 + ], + [ + 20515770, + 61810453 + ], + [ + 83848436, + 60095369 + ], + [ + 92384172, + 48104237 + ], + [ + 86042045, + 60192148 + ], + [ + 51809905, + 6637624 + ], + [ + 56542481, + 47350993 + ], + [ + 16193950, + 91514478 + ], + [ + 64215363, + 58536907 + ], + [ + 58639310, + 78420616 + ], + [ + 36958093, + 93408327 + ], + [ + 54414117, + 73923785 + ], + [ + 47807361, + 17242445 + ], + [ + 2182538, + 44000314 + ], + [ + 90020530, + 17631140 + ], + [ + 83176852, + 89080885 + ], + [ + 9573828, + 32937783 + ], + [ + 35759944, + 28252464 + ], + [ + 28953706, + 87082056 + ], + [ + 19024949, + 19115442 + ], + [ + 7891365, + 19606601 + ], + [ + 28498330, + 77350075 + ], + [ + 57278845, + 7324445 + ], + [ + 88985418, + 67454739 + ], + [ + 90559, + 15252822 + ], + [ + 38723301, + 20067366 + ], + [ + 17783400, + 43039767 + ], + [ + 15979649, + 18426589 + ], + [ + 52938986, + 67925971 + ], + [ + 42960161, + 82901104 + ], + [ + 9506730, + 30183781 + ], + [ + 46738379, + 80566200 + ], + [ + 98926636, + 86710042 + ], + [ + 95640236, + 41382637 + ], + [ + 67336803, + 94527124 + ], + [ + 65706082, + 24068234 + ], + [ + 19347158, + 333849 + ], + [ + 73808550, + 43628064 + ], + [ + 39158638, + 24637964 + ], + [ + 31557653, + 41678171 + ], + [ + 54084791, + 35064633 + ], + [ + 99160201, + 86172473 + ], + [ + 50282640, + 99905504 + ], + [ + 68028080, + 15188249 + ], + [ + 98260509, + 59186854 + ], + [ + 3290655, + 72152762 + ], + [ + 54096991, + 19791788 + ], + [ + 32717052, + 14211794 + ], + [ + 28960304, + 78060415 + ], + [ + 75258643, + 21045075 + ], + [ + 95414419, + 73100614 + ], + [ + 24646032, + 96107218 + ], + [ + 81546825, + 47710423 + ], + [ + 82779297, + 15112292 + ], + [ + 64897744, + 81443507 + ], + [ + 28272852, + 47949466 + ], + [ + 36719964, + 23854545 + ], + [ + 55714846, + 30872609 + ], + [ + 38223691, + 71743827 + ], + [ + 87369448, + 59773973 + ], + [ + 32935823, + 34624589 + ], + [ + 30418642, + 78999070 + ], + [ + 40364463, + 88499884 + ], + [ + 53426847, + 23380632 + ], + [ + 84005521, + 69891543 + ], + [ + 40311571, + 29260491 + ], + [ + 64649085, + 1341260 + ], + [ + 13395774, + 39865479 + ], + [ + 31741701, + 56455525 + ], + [ + 44749960, + 79273232 + ], + [ + 95386348, + 97415563 + ], + [ + 22778235, + 31859144 + ], + [ + 88801282, + 15995234 + ], + [ + 85900211, + 35205494 + ], + [ + 65845205, + 56281682 + ], + [ + 9033227, + 20114612 + ], + [ + 21578871, + 4754531 + ], + [ + 3530017, + 33705160 + ], + [ + 26690235, + 57818719 + ], + [ + 33092900, + 80403307 + ], + [ + 1450263, + 76648442 + ], + [ + 10017944, + 5575286 + ], + [ + 28766501, + 53359116 + ], + [ + 63314060, + 3107946 + ], + [ + 60882913, + 9958320 + ], + [ + 67577628, + 16231397 + ], + [ + 83473212, + 13409757 + ], + [ + 65598856, + 10185407 + ], + [ + 30367790, + 16396903 + ], + [ + 16629791, + 53154614 + ], + [ + 63794575, + 73779341 + ], + [ + 77988366, + 96398308 + ], + [ + 81785096, + 72356150 + ], + [ + 39308800, + 71509781 + ], + [ + 92198709, + 46195705 + ], + [ + 92616283, + 44302262 + ], + [ + 93841840, + 86192813 + ], + [ + 6872169, + 89916792 + ], + [ + 79432259, + 34910814 + ], + [ + 69276389, + 14960414 + ], + [ + 19026990, + 77359280 + ], + [ + 29816062, + 79514483 + ], + [ + 4655436, + 35043949 + ], + [ + 49715840, + 39594156 + ], + [ + 86473505, + 21633922 + ], + [ + 71813499, + 82136087 + ], + [ + 34321869, + 63146261 + ], + [ + 31640739, + 59605886 + ], + [ + 32753172, + 88662982 + ], + [ + 79290093, + 36091911 + ], + [ + 53120209, + 19366902 + ], + [ + 7094586, + 12326864 + ], + [ + 93996209, + 68255698 + ], + [ + 33970928, + 64835839 + ], + [ + 34052090, + 83709287 + ], + [ + 58918446, + 58791189 + ], + [ + 44687627, + 15350078 + ], + [ + 85842510, + 3451049 + ], + [ + 51283117, + 18706172 + ], + [ + 80563822, + 72623235 + ], + [ + 44220495, + 69315297 + ], + [ + 61195987, + 1815289 + ], + [ + 97953107, + 13235050 + ], + [ + 12151905, + 1720019 + ], + [ + 31594213, + 58738457 + ], + [ + 75086144, + 69435389 + ], + [ + 98395657, + 14731184 + ], + [ + 70260608, + 88651443 + ], + [ + 9024562, + 36999366 + ], + [ + 51334781, + 20518157 + ], + [ + 95211664, + 5706423 + ], + [ + 85136341, + 42601207 + ], + [ + 26001616, + 5757895 + ], + [ + 17910337, + 65543316 + ], + [ + 51256135, + 83945793 + ], + [ + 10167623, + 118942 + ], + [ + 69561480, + 39290261 + ], + [ + 9041658, + 51542228 + ], + [ + 6463529, + 41931926 + ], + [ + 21261542, + 8798351 + ], + [ + 43468217, + 87102395 + ], + [ + 87055226, + 7981675 + ], + [ + 50693641, + 3213248 + ], + [ + 64791963, + 24291314 + ], + [ + 94359391, + 31611475 + ], + [ + 66467978, + 43486406 + ], + [ + 18537318, + 13648779 + ], + [ + 28975000, + 22300968 + ], + [ + 42092705, + 77928266 + ], + [ + 91457154, + 4725649 + ], + [ + 2415958, + 30886467 + ], + [ + 49203855, + 34432666 + ], + [ + 68773739, + 99537334 + ], + [ + 57012870, + 63746548 + ], + [ + 88392027, + 48003982 + ], + [ + 36550300, + 29089637 + ], + [ + 87973340, + 51991478 + ], + [ + 80913355, + 7843141 + ], + [ + 35136122, + 91819648 + ], + [ + 83106302, + 1415044 + ], + [ + 43092077, + 41177668 + ], + [ + 5864428, + 60545814 + ], + [ + 14999087, + 60107170 + ], + [ + 1220115, + 25846196 + ], + [ + 99681097, + 58166724 + ], + [ + 49222482, + 41502350 + ], + [ + 20734912, + 82940539 + ], + [ + 97419042, + 72953096 + ], + [ + 81670238, + 11716479 + ], + [ + 65077595, + 74610290 + ], + [ + 90336656, + 60976018 + ], + [ + 45468796, + 30692444 + ], + [ + 85588487, + 42814849 + ], + [ + 66084788, + 81019634 + ], + [ + 13503244, + 15171882 + ], + [ + 29375576, + 94930782 + ], + [ + 17277929, + 41130353 + ], + [ + 14811834, + 23314915 + ], + [ + 95403390, + 69231734 + ], + [ + 46401700, + 9801136 + ], + [ + 73488362, + 72360269 + ], + [ + 78902680, + 5182872 + ], + [ + 77002074, + 74582101 + ], + [ + 50901324, + 19820739 + ], + [ + 25470131, + 37126919 + ], + [ + 46251450, + 5649926 + ], + [ + 33266305, + 77064756 + ], + [ + 34649966, + 52738212 + ], + [ + 52617507, + 17353182 + ], + [ + 21083020, + 18868349 + ], + [ + 23874529, + 57361070 + ], + [ + 86293881, + 57961353 + ], + [ + 48787461, + 59742745 + ], + [ + 86021393, + 97900885 + ], + [ + 11716015, + 9068298 + ], + [ + 88484071, + 58840893 + ], + [ + 58491450, + 18017209 + ], + [ + 94106093, + 62331671 + ], + [ + 24652496, + 36455778 + ], + [ + 63831304, + 9008492 + ], + [ + 36160921, + 34906800 + ], + [ + 7344710, + 59567565 + ], + [ + 45615838, + 24138739 + ], + [ + 72605314, + 74545495 + ], + [ + 99058365, + 47430700 + ], + [ + 46036019, + 75371169 + ], + [ + 74904260, + 32752519 + ], + [ + 27830650, + 46017995 + ], + [ + 20786660, + 85061838 + ], + [ + 7241687, + 82988236 + ], + [ + 68095871, + 3705612 + ], + [ + 57592659, + 57205557 + ], + [ + 78984951, + 12255578 + ], + [ + 60977062, + 39881934 + ], + [ + 32002143, + 74412298 + ], + [ + 84530982, + 33796526 + ], + [ + 71050107, + 23556814 + ], + [ + 44793655, + 28033998 + ], + [ + 57108421, + 46533634 + ], + [ + 29035012, + 69567427 + ], + [ + 76088477, + 24477790 + ], + [ + 10306461, + 1498708 + ], + [ + 67675899, + 35685087 + ], + [ + 93483202, + 2332409 + ], + [ + 41592652, + 7095527 + ], + [ + 55474920, + 2571503 + ], + [ + 96100196, + 92649777 + ], + [ + 65265736, + 54135465 + ], + [ + 31544071, + 82852350 + ], + [ + 7525820, + 1909540 + ], + [ + 71796157, + 45788364 + ], + [ + 63443658, + 75936635 + ], + [ + 1545065, + 89333198 + ], + [ + 35897056, + 82248398 + ], + [ + 11034510, + 80594586 + ], + [ + 33184784, + 60439175 + ], + [ + 86101696, + 60483577 + ], + [ + 65576751, + 41263105 + ], + [ + 67587282, + 41241672 + ], + [ + 140840, + 98736813 + ], + [ + 29462941, + 91429411 + ], + [ + 15683188, + 4280785 + ], + [ + 81581351, + 64500387 + ], + [ + 17216580, + 57690009 + ], + [ + 40068568, + 90751380 + ], + [ + 13182774, + 40119256 + ], + [ + 52890022, + 61858497 + ], + [ + 19621327, + 99807741 + ], + [ + 94751066, + 18766654 + ], + [ + 33791620, + 46822367 + ], + [ + 80822481, + 75519185 + ], + [ + 49740886, + 40575377 + ], + [ + 34055909, + 86755334 + ], + [ + 24929522, + 55568085 + ], + [ + 17684346, + 52913371 + ], + [ + 92687524, + 78478985 + ], + [ + 54272734, + 37326224 + ], + [ + 97749456, + 85177691 + ], + [ + 73134667, + 72812939 + ], + [ + 55424892, + 9349669 + ], + [ + 93431749, + 86264305 + ], + [ + 55572653, + 3137948 + ], + [ + 32107781, + 67686592 + ], + [ + 14125163, + 29068562 + ], + [ + 21077164, + 79880225 + ], + [ + 76965922, + 96092827 + ], + [ + 25542677, + 90524397 + ], + [ + 97703537, + 85504140 + ], + [ + 93396516, + 86088426 + ], + [ + 66275510, + 72864534 + ], + [ + 8015423, + 1726010 + ], + [ + 7825575, + 82242227 + ], + [ + 20528327, + 22805516 + ], + [ + 70635229, + 37098051 + ], + [ + 14930365, + 50660917 + ], + [ + 55528636, + 7992482 + ], + [ + 51361616, + 67192604 + ], + [ + 30860935, + 99964759 + ], + [ + 32718308, + 3274231 + ], + [ + 75443250, + 89134552 + ], + [ + 89392268, + 55256347 + ], + [ + 16300901, + 18799370 + ], + [ + 73818290, + 71261414 + ], + [ + 18525329, + 34222086 + ], + [ + 2250079, + 76869602 + ], + [ + 80537946, + 41542838 + ], + [ + 71542123, + 50129818 + ], + [ + 49203344, + 88153427 + ], + [ + 23294411, + 50687348 + ], + [ + 92678728, + 19959246 + ], + [ + 49728819, + 3725543 + ], + [ + 24276110, + 25473228 + ], + [ + 85155115, + 7672690 + ], + [ + 30780326, + 33923304 + ], + [ + 48852411, + 26555576 + ], + [ + 45114163, + 81810793 + ], + [ + 30812983, + 54820007 + ], + [ + 52362770, + 84556193 + ], + [ + 90339617, + 49847435 + ], + [ + 1014090, + 16316735 + ], + [ + 79001155, + 48463220 + ], + [ + 53531463, + 28972915 + ], + [ + 76248608, + 70166109 + ], + [ + 45711354, + 51259435 + ], + [ + 66896699, + 28062110 + ], + [ + 46080080, + 8997638 + ], + [ + 12555408, + 40227678 + ], + [ + 74206050, + 19446935 + ], + [ + 64396792, + 87300094 + ], + [ + 60986563, + 21327331 + ], + [ + 44342419, + 70935917 + ], + [ + 41928644, + 9619328 + ], + [ + 38645434, + 22288837 + ], + [ + 94932961, + 80356029 + ], + [ + 60618017, + 40022409 + ], + [ + 92083852, + 45996122 + ], + [ + 30723563, + 95866214 + ], + [ + 37070323, + 213594 + ], + [ + 28884924, + 8843409 + ], + [ + 12297526, + 34871390 + ], + [ + 71960176, + 69694117 + ], + [ + 57042678, + 11519219 + ], + [ + 12380862, + 32376616 + ], + [ + 44641913, + 44316418 + ], + [ + 95275194, + 725042 + ], + [ + 80242492, + 86782567 + ], + [ + 27315283, + 57705798 + ], + [ + 1539426, + 85527147 + ], + [ + 84370359, + 5752823 + ], + [ + 85616612, + 32999939 + ], + [ + 56785144, + 95194246 + ], + [ + 88124169, + 79877234 + ], + [ + 46444617, + 67736081 + ], + [ + 71710151, + 8676178 + ], + [ + 68143374, + 21560441 + ], + [ + 60585528, + 82478218 + ], + [ + 40691533, + 22406175 + ], + [ + 94820505, + 85117993 + ], + [ + 21657511, + 25145977 + ], + [ + 41932038, + 89455440 + ], + [ + 62847549, + 65287250 + ], + [ + 83486703, + 66302916 + ], + [ + 77567033, + 57159834 + ], + [ + 43845106, + 98776501 + ], + [ + 70121928, + 40977117 + ], + [ + 86746329, + 81286467 + ], + [ + 83783816, + 5385942 + ], + [ + 43976500, + 57362581 + ], + [ + 34728901, + 89062934 + ], + [ + 26072971, + 28898159 + ], + [ + 78435019, + 86087430 + ], + [ + 62364584, + 64729043 + ], + [ + 712477, + 70138052 + ], + [ + 19503915, + 4806450 + ], + [ + 29345814, + 83546360 + ], + [ + 36777857, + 48008564 + ], + [ + 73152735, + 32499671 + ], + [ + 91721708, + 17616454 + ], + [ + 98719580, + 26690637 + ], + [ + 62927582, + 19767085 + ], + [ + 94952003, + 44250547 + ], + [ + 78767465, + 96378229 + ], + [ + 3319006, + 50385347 + ], + [ + 80671672, + 89034845 + ], + [ + 59040541, + 21286152 + ], + [ + 33252791, + 70601192 + ], + [ + 26664301, + 46637643 + ], + [ + 81488595, + 35441369 + ], + [ + 97645682, + 28651300 + ], + [ + 43753032, + 7016483 + ], + [ + 55555509, + 69967598 + ], + [ + 73195701, + 97985963 + ], + [ + 10919889, + 40691018 + ], + [ + 2548936, + 40048241 + ], + [ + 20296445, + 44471515 + ], + [ + 45359254, + 32236609 + ], + [ + 11317792, + 30373523 + ], + [ + 68924044, + 27759703 + ], + [ + 66229218, + 71801072 + ], + [ + 20862640, + 49771460 + ], + [ + 82074200, + 2238152 + ], + [ + 44339121, + 85021055 + ], + [ + 57860358, + 2076053 + ], + [ + 48356017, + 69593443 + ], + [ + 71300608, + 7388772 + ], + [ + 85386117, + 96857293 + ], + [ + 2159846, + 59129098 + ], + [ + 41372164, + 81853087 + ], + [ + 54322223, + 72954065 + ], + [ + 90622167, + 48148137 + ], + [ + 86923090, + 15516398 + ], + [ + 62928322, + 27487578 + ], + [ + 90168413, + 45220076 + ], + [ + 75391390, + 24638280 + ], + [ + 62983220, + 57434707 + ], + [ + 9674228, + 98321087 + ], + [ + 49854391, + 21375485 + ], + [ + 63435848, + 62563498 + ], + [ + 90318346, + 24562110 + ], + [ + 41256225, + 49032773 + ], + [ + 85427559, + 48311382 + ], + [ + 72035718, + 45985763 + ], + [ + 97047657, + 59690824 + ], + [ + 18027805, + 34310642 + ], + [ + 82758416, + 17507849 + ], + [ + 66538698, + 35029052 + ], + [ + 67081872, + 68116676 + ], + [ + 28762975, + 1584136 + ], + [ + 70493956, + 85416150 + ], + [ + 63975624, + 41700875 + ], + [ + 85376604, + 92471952 + ], + [ + 31117619, + 8710291 + ], + [ + 66975083, + 17944089 + ], + [ + 65398853, + 43471629 + ], + [ + 18443881, + 17422596 + ], + [ + 68932598, + 13965440 + ], + [ + 85968654, + 43607736 + ], + [ + 91763795, + 27976157 + ], + [ + 63486397, + 26096377 + ], + [ + 92198858, + 61112679 + ], + [ + 2920008, + 79162333 + ], + [ + 26507522, + 63835756 + ], + [ + 45056342, + 5574977 + ], + [ + 83025636, + 63770541 + ], + [ + 82221987, + 90054270 + ], + [ + 79680869, + 36420516 + ], + [ + 17541513, + 26396402 + ], + [ + 89018329, + 82183929 + ], + [ + 47710267, + 87761103 + ], + [ + 228334, + 58510262 + ], + [ + 153603, + 15300401 + ], + [ + 61060997, + 2357563 + ], + [ + 8305051, + 1329835 + ], + [ + 81772291, + 85445058 + ], + [ + 74799431, + 55319275 + ], + [ + 6481203, + 49487913 + ], + [ + 78571828, + 91037705 + ], + [ + 67189953, + 28385774 + ], + [ + 24959135, + 1387020 + ], + [ + 12822367, + 60373211 + ], + [ + 59239647, + 76172070 + ], + [ + 89709527, + 70202049 + ], + [ + 79252, + 55323796 + ], + [ + 40823859, + 40804358 + ], + [ + 57859166, + 66884316 + ], + [ + 42121918, + 94480237 + ], + [ + 68770357, + 17801922 + ], + [ + 8582711, + 69327110 + ], + [ + 12787504, + 46324332 + ], + [ + 38308602, + 11696633 + ], + [ + 13935422, + 98809490 + ], + [ + 28353929, + 8124035 + ], + [ + 5357810, + 83645084 + ], + [ + 15556742, + 3716170 + ], + [ + 75426383, + 4415990 + ], + [ + 60850157, + 65918256 + ], + [ + 5732177, + 3859395 + ], + [ + 6018916, + 38725890 + ], + [ + 15782401, + 18215338 + ], + [ + 23977400, + 19335429 + ], + [ + 4304421, + 27313296 + ], + [ + 58568295, + 34818475 + ], + [ + 61057511, + 60601315 + ], + [ + 32378468, + 34200492 + ], + [ + 46175428, + 62609526 + ], + [ + 13898546, + 88773267 + ], + [ + 80329252, + 18793220 + ], + [ + 71186826, + 5539261 + ], + [ + 85193575, + 78329152 + ], + [ + 19499982, + 52012771 + ], + [ + 31029835, + 28111589 + ], + [ + 99791450, + 82774195 + ], + [ + 23734329, + 81612336 + ], + [ + 30256504, + 14320449 + ], + [ + 86345783, + 88202028 + ], + [ + 82758666, + 25389147 + ], + [ + 60877198, + 84580723 + ], + [ + 48789972, + 99307670 + ], + [ + 68205368, + 93574484 + ], + [ + 66051781, + 91539566 + ], + [ + 94994346, + 17660618 + ], + [ + 24071101, + 92682451 + ], + [ + 76079558, + 59337348 + ], + [ + 65046198, + 74502772 + ], + [ + 36393526, + 29995877 + ], + [ + 44864143, + 61719013 + ], + [ + 17065776, + 26042163 + ], + [ + 85242666, + 14542166 + ], + [ + 87725911, + 89846537 + ], + [ + 26228602, + 38737604 + ], + [ + 33703287, + 17637529 + ], + [ + 45679665, + 61271392 + ], + [ + 28441465, + 51029299 + ], + [ + 45604798, + 21516089 + ], + [ + 50349979, + 29905237 + ], + [ + 13024078, + 9741394 + ], + [ + 83881366, + 35885621 + ], + [ + 31087857, + 46380399 + ], + [ + 39096985, + 10464353 + ], + [ + 32465634, + 26512082 + ], + [ + 97399034, + 14354007 + ], + [ + 70151486, + 48820944 + ], + [ + 40012983, + 14626371 + ], + [ + 2690434, + 76751662 + ], + [ + 53379722, + 18349573 + ], + [ + 95883507, + 26592233 + ], + [ + 28262650, + 80695769 + ], + [ + 30040551, + 48194067 + ], + [ + 41013452, + 86484631 + ], + [ + 6371088, + 49862001 + ], + [ + 95332258, + 33014559 + ], + [ + 47181861, + 39631027 + ], + [ + 46356424, + 68181292 + ], + [ + 84586023, + 4850572 + ], + [ + 71399604, + 1015117 + ], + [ + 13638577, + 77519217 + ], + [ + 99877541, + 46826777 + ], + [ + 61197928, + 98786552 + ], + [ + 81039210, + 16739306 + ], + [ + 91144260, + 52181637 + ], + [ + 82636807, + 69153858 + ], + [ + 40974485, + 41362785 + ], + [ + 53555448, + 39975931 + ], + [ + 71566174, + 24667659 + ], + [ + 43239767, + 90144384 + ], + [ + 18421621, + 97572474 + ], + [ + 58676934, + 33037787 + ], + [ + 49568019, + 81359544 + ], + [ + 67956647, + 57984859 + ], + [ + 91080183, + 67746040 + ], + [ + 30244365, + 73426645 + ], + [ + 90455173, + 76439664 + ], + [ + 97280649, + 6820846 + ], + [ + 43204409, + 76908401 + ], + [ + 51123383, + 34508268 + ], + [ + 21803750, + 63910316 + ], + [ + 12609162, + 16466638 + ], + [ + 79699251, + 45882310 + ], + [ + 13577743, + 86290988 + ], + [ + 73192308, + 12155167 + ], + [ + 76984573, + 79012654 + ], + [ + 66015841, + 83207594 + ], + [ + 35519710, + 23065786 + ], + [ + 30229443, + 77847652 + ], + [ + 5787326, + 62462035 + ], + [ + 68676743, + 12075824 + ], + [ + 6367963, + 48412229 + ], + [ + 56375976, + 82289628 + ], + [ + 25970538, + 93770465 + ], + [ + 99552151, + 98034212 + ], + [ + 82544019, + 16032842 + ], + [ + 11051913, + 57299147 + ], + [ + 63995962, + 82888907 + ], + [ + 28655036, + 92273448 + ], + [ + 9110946, + 79544615 + ], + [ + 67678107, + 59399346 + ], + [ + 31795226, + 81831469 + ], + [ + 81951401, + 16796896 + ], + [ + 41456071, + 20990930 + ], + [ + 92863410, + 34678973 + ], + [ + 36241899, + 68183907 + ], + [ + 24282114, + 54469431 + ], + [ + 79655257, + 57781488 + ], + [ + 4434129, + 32031385 + ], + [ + 34865182, + 89223614 + ], + [ + 64007367, + 65775445 + ], + [ + 97691544, + 54829813 + ], + [ + 77176117, + 52223589 + ], + [ + 41175569, + 55525066 + ], + [ + 77565647, + 89923305 + ], + [ + 84770948, + 85817154 + ], + [ + 60821504, + 67194460 + ], + [ + 91452165, + 12333333 + ], + [ + 587023, + 39889029 + ], + [ + 88098394, + 82586472 + ], + [ + 93116660, + 14473324 + ], + [ + 98619811, + 35824697 + ], + [ + 82498845, + 52420920 + ], + [ + 75213018, + 45035067 + ], + [ + 1923927, + 66268144 + ], + [ + 75924090, + 28820763 + ], + [ + 84359311, + 18465324 + ], + [ + 96363910, + 2720241 + ], + [ + 18814850, + 55684213 + ], + [ + 84528493, + 70095228 + ], + [ + 73515335, + 6195939 + ], + [ + 18713613, + 70322202 + ], + [ + 91436500, + 66920130 + ], + [ + 78549076, + 92663390 + ], + [ + 8610278, + 74270944 + ], + [ + 85875504, + 59191573 + ], + [ + 16993211, + 33775707 + ], + [ + 40615483, + 58337204 + ], + [ + 18726627, + 43554511 + ], + [ + 62561739, + 47107135 + ], + [ + 55773876, + 83721491 + ], + [ + 62456187, + 97680502 + ], + [ + 97532808, + 29211981 + ], + [ + 76437434, + 31533421 + ], + [ + 10582460, + 43943830 + ], + [ + 98694302, + 50969930 + ], + [ + 10620448, + 17434854 + ], + [ + 19775792, + 99650871 + ], + [ + 15181729, + 95015998 + ], + [ + 27400295, + 69210701 + ], + [ + 8370558, + 6374883 + ], + [ + 66548356, + 18050963 + ], + [ + 65558661, + 17513658 + ], + [ + 42113356, + 7927977 + ], + [ + 75631076, + 81343862 + ], + [ + 47582699, + 10524 + ], + [ + 28679687, + 55942315 + ], + [ + 32626248, + 81625178 + ], + [ + 82768390, + 72079066 + ], + [ + 4219431, + 75713813 + ], + [ + 39700935, + 87836566 + ], + [ + 65789769, + 70623637 + ], + [ + 50265810, + 14086323 + ], + [ + 90598825, + 68182057 + ], + [ + 79762706, + 93674926 + ], + [ + 70850086, + 83414171 + ], + [ + 65689150, + 39934361 + ], + [ + 89042774, + 96195556 + ], + [ + 27614867, + 18510081 + ], + [ + 82055322, + 50178366 + ], + [ + 28463316, + 11728366 + ], + [ + 50585694, + 32395782 + ], + [ + 69184863, + 78825961 + ], + [ + 35859058, + 39788097 + ], + [ + 19209818, + 26391227 + ], + [ + 71180429, + 28141641 + ], + [ + 72821655, + 12347277 + ], + [ + 61068085, + 23918272 + ], + [ + 68538125, + 87359965 + ], + [ + 13006162, + 69433988 + ], + [ + 43436893, + 30424246 + ], + [ + 82521423, + 10377942 + ], + [ + 28637895, + 99112347 + ], + [ + 74381959, + 84159534 + ], + [ + 33712640, + 4774997 + ], + [ + 36494649, + 54316567 + ], + [ + 5633262, + 76922385 + ], + [ + 70386205, + 76730029 + ], + [ + 67771376, + 81267187 + ], + [ + 34139669, + 10028487 + ], + [ + 82897662, + 26654641 + ], + [ + 98853699, + 88787476 + ], + [ + 78780060, + 81960639 + ], + [ + 40224039, + 17799871 + ], + [ + 39741917, + 99152645 + ], + [ + 42802630, + 97300197 + ], + [ + 69814466, + 36014090 + ], + [ + 99065088, + 65407184 + ], + [ + 86022008, + 31014982 + ], + [ + 65920898, + 54902595 + ], + [ + 56468107, + 14015465 + ], + [ + 94242079, + 25545603 + ], + [ + 70787928, + 63305575 + ], + [ + 13905196, + 9562241 + ], + [ + 91684403, + 24374888 + ], + [ + 88459797, + 29973204 + ], + [ + 16327627, + 60681879 + ], + [ + 82151401, + 32836173 + ], + [ + 62333917, + 6400418 + ], + [ + 59617052, + 38123692 + ], + [ + 24825942, + 42452547 + ], + [ + 88313287, + 24373140 + ], + [ + 39464545, + 72782516 + ], + [ + 72001613, + 11616407 + ], + [ + 12634474, + 98572911 + ], + [ + 83057271, + 21583080 + ], + [ + 50889654, + 94683476 + ], + [ + 37555670, + 65977594 + ], + [ + 40846184, + 7709910 + ], + [ + 34244370, + 49623470 + ], + [ + 91082888, + 90019351 + ], + [ + 23754866, + 47196961 + ], + [ + 55591751, + 42675734 + ], + [ + 12598557, + 64565992 + ], + [ + 63732287, + 19546136 + ], + [ + 44402720, + 47663235 + ], + [ + 67735569, + 14258073 + ], + [ + 44592524, + 95014135 + ], + [ + 3582148, + 80241789 + ], + [ + 69205127, + 84537220 + ], + [ + 56715225, + 85872668 + ], + [ + 28072384, + 53921077 + ], + [ + 84004518, + 22667673 + ], + [ + 56593186, + 10076108 + ], + [ + 1277603, + 88349061 + ], + [ + 24189167, + 93807912 + ], + [ + 66629404, + 14017368 + ], + [ + 13996434, + 85996303 + ], + [ + 10458292, + 21165795 + ], + [ + 95411271, + 41962639 + ], + [ + 39592332, + 10258370 + ], + [ + 59823340, + 15928904 + ], + [ + 4319969, + 43520031 + ], + [ + 28217319, + 4546172 + ], + [ + 54269213, + 82325300 + ], + [ + 55890485, + 3164075 + ], + [ + 60139535, + 39474010 + ], + [ + 8040419, + 64030491 + ], + [ + 35519670, + 16227687 + ], + [ + 79593549, + 8458345 + ], + [ + 81548819, + 3916767 + ], + [ + 61192231, + 12586138 + ], + [ + 36285876, + 61865195 + ], + [ + 94942538, + 46562786 + ], + [ + 96211892, + 3348940 + ], + [ + 68575618, + 26887615 + ], + [ + 35912881, + 23635796 + ], + [ + 55613216, + 37894534 + ], + [ + 27668564, + 60045714 + ], + [ + 17911708, + 86289400 + ], + [ + 74216510, + 63191698 + ], + [ + 95482185, + 35031201 + ], + [ + 41717867, + 32384884 + ], + [ + 14454521, + 38956092 + ], + [ + 17997134, + 52436398 + ], + [ + 82270676, + 10323883 + ], + [ + 52675268, + 43880636 + ], + [ + 95307733, + 69710729 + ], + [ + 80039749, + 60182829 + ], + [ + 56368572, + 30476250 + ], + [ + 12978688, + 62132027 + ], + [ + 31199039, + 49194107 + ], + [ + 45247464, + 20397641 + ], + [ + 81466842, + 54756569 + ], + [ + 43025162, + 37533211 + ], + [ + 74271031, + 52702440 + ], + [ + 44286225, + 75268646 + ], + [ + 73318571, + 88065059 + ], + [ + 5724673, + 4792596 + ], + [ + 50765702, + 48524320 + ], + [ + 63663851, + 30637443 + ], + [ + 4378133, + 49750461 + ], + [ + 27061983, + 73969468 + ], + [ + 43879261, + 79606021 + ], + [ + 93705296, + 8711574 + ], + [ + 30248690, + 88545556 + ], + [ + 13173415, + 93721074 + ], + [ + 26832489, + 14085079 + ], + [ + 45676531, + 9524434 + ], + [ + 12486945, + 3402015 + ], + [ + 18366779, + 49642683 + ], + [ + 45239947, + 61788719 + ], + [ + 15239559, + 32789964 + ], + [ + 61381473, + 49216143 + ], + [ + 15870488, + 45392721 + ], + [ + 75658600, + 65349320 + ], + [ + 56540563, + 1338840 + ], + [ + 12588519, + 25430535 + ], + [ + 43258253, + 50880221 + ], + [ + 86406185, + 49023933 + ], + [ + 1812145, + 72192645 + ], + [ + 60215942, + 63129943 + ], + [ + 65099660, + 42608153 + ], + [ + 5480289, + 30386233 + ], + [ + 92501200, + 11437688 + ], + [ + 90387405, + 24062660 + ], + [ + 29343469, + 48961170 + ], + [ + 21725604, + 83592085 + ], + [ + 46035062, + 5384391 + ], + [ + 54916810, + 22173253 + ], + [ + 92417728, + 41216977 + ], + [ + 52543648, + 89762122 + ], + [ + 29035898, + 83420919 + ], + [ + 96852231, + 26033993 + ], + [ + 11852893, + 66214166 + ], + [ + 7122411, + 62135257 + ], + [ + 24342694, + 33496897 + ], + [ + 61770375, + 69702849 + ], + [ + 89280857, + 97353249 + ], + [ + 22823603, + 25081074 + ], + [ + 76655831, + 5044305 + ], + [ + 6942061, + 95431017 + ], + [ + 38414794, + 31941665 + ], + [ + 31004127, + 21062429 + ], + [ + 88051940, + 75156839 + ], + [ + 191520, + 44325065 + ], + [ + 50900457, + 4741752 + ], + [ + 1155690, + 44460009 + ], + [ + 11746717, + 97531287 + ], + [ + 4757900, + 43317829 + ], + [ + 4577908, + 5575113 + ], + [ + 23628884, + 70550644 + ], + [ + 10857611, + 82382402 + ], + [ + 48538418, + 53062933 + ], + [ + 20327784, + 68385716 + ], + [ + 57529601, + 36100420 + ], + [ + 19897079, + 9263542 + ], + [ + 78269150, + 45412733 + ], + [ + 9489174, + 42972272 + ], + [ + 73681636, + 98714114 + ], + [ + 43357890, + 94032805 + ], + [ + 51973184, + 85723911 + ], + [ + 64901181, + 8408719 + ], + [ + 9334396, + 6476165 + ], + [ + 85584491, + 40850537 + ], + [ + 47071291, + 81270007 + ], + [ + 28374000, + 2042948 + ], + [ + 67802180, + 8592658 + ], + [ + 16125584, + 13715076 + ], + [ + 43813362, + 68988417 + ], + [ + 84621252, + 54115278 + ], + [ + 60155573, + 56583239 + ], + [ + 46310987, + 7292685 + ], + [ + 12155195, + 74323728 + ], + [ + 28217661, + 91562024 + ], + [ + 46710176, + 23336735 + ], + [ + 13244727, + 97299056 + ], + [ + 28862435, + 58956992 + ], + [ + 53764953, + 32147153 + ], + [ + 5409595, + 32976276 + ], + [ + 66317189, + 91514671 + ], + [ + 18827957, + 15326419 + ], + [ + 81337628, + 96325750 + ], + [ + 81487200, + 64963510 + ], + [ + 27321599, + 98285829 + ], + [ + 83908999, + 54213778 + ], + [ + 74158613, + 61194920 + ], + [ + 22021189, + 59201606 + ], + [ + 88185511, + 7529148 + ], + [ + 59445106, + 16086476 + ], + [ + 68886686, + 81224161 + ], + [ + 49018644, + 28105002 + ], + [ + 19574780, + 15143505 + ], + [ + 77609791, + 24309576 + ], + [ + 76288764, + 90618407 + ], + [ + 17114116, + 13828367 + ], + [ + 85389553, + 13793184 + ], + [ + 41673683, + 67672841 + ], + [ + 89078878, + 60000710 + ], + [ + 20118372, + 81031741 + ], + [ + 28090130, + 77268676 + ], + [ + 3145737, + 73169120 + ], + [ + 11361758, + 15695820 + ], + [ + 49833109, + 32231241 + ], + [ + 6408892, + 92826546 + ], + [ + 45787840, + 47202630 + ], + [ + 32966746, + 48538000 + ], + [ + 70760134, + 32034555 + ], + [ + 2807678, + 19281315 + ], + [ + 54811243, + 68469630 + ], + [ + 34536448, + 93288170 + ], + [ + 41839452, + 54914809 + ], + [ + 60979262, + 92366888 + ], + [ + 27350092, + 3092156 + ], + [ + 13345566, + 54937319 + ], + [ + 56853844, + 28134884 + ], + [ + 600925, + 96701240 + ], + [ + 65394163, + 33439122 + ], + [ + 52600837, + 91055585 + ], + [ + 11965379, + 80354943 + ], + [ + 45276992, + 86019823 + ], + [ + 25696079, + 30003344 + ], + [ + 51716627, + 65781537 + ], + [ + 84168371, + 47935937 + ], + [ + 83320199, + 6571750 + ], + [ + 14561775, + 56933872 + ], + [ + 28526634, + 63027726 + ], + [ + 92652401, + 18743437 + ], + [ + 43875919, + 3588666 + ], + [ + 30616547, + 25299729 + ], + [ + 85012816, + 86639196 + ], + [ + 11799149, + 19358899 + ], + [ + 5976495, + 89688172 + ], + [ + 70894314, + 33710829 + ], + [ + 13320123, + 2801180 + ], + [ + 50081948, + 58555033 + ], + [ + 77094979, + 6974168 + ], + [ + 19593150, + 36931969 + ], + [ + 20317687, + 85511953 + ], + [ + 8781316, + 28562127 + ], + [ + 11242583, + 58208154 + ], + [ + 54690704, + 61619053 + ], + [ + 21857775, + 15280903 + ], + [ + 39841280, + 98699431 + ], + [ + 41449404, + 87792096 + ], + [ + 59507228, + 68786766 + ], + [ + 84234381, + 11751869 + ], + [ + 28391639, + 24221699 + ], + [ + 64263425, + 90644883 + ], + [ + 30151898, + 22937738 + ], + [ + 89523718, + 24098793 + ], + [ + 65860658, + 65284771 + ], + [ + 46836347, + 42909335 + ], + [ + 20478449, + 73815838 + ], + [ + 26301772, + 32934371 + ], + [ + 90478811, + 13849584 + ], + [ + 83061441, + 94721444 + ], + [ + 62100012, + 71153368 + ], + [ + 48110005, + 40879239 + ], + [ + 50489290, + 18617518 + ], + [ + 15138804, + 93476940 + ], + [ + 66666074, + 77489213 + ], + [ + 97666316, + 26037143 + ], + [ + 59733075, + 69055952 + ], + [ + 1260823, + 63404558 + ], + [ + 13986339, + 69059268 + ], + [ + 18078627, + 20703777 + ], + [ + 59833361, + 21154047 + ], + [ + 33671488, + 72216097 + ], + [ + 41613463, + 51396861 + ], + [ + 80952349, + 52503663 + ], + [ + 58272258, + 5433562 + ], + [ + 74392728, + 31077609 + ], + [ + 55437435, + 46575682 + ], + [ + 83513168, + 7490636 + ], + [ + 55521109, + 76402845 + ], + [ + 526519, + 59646281 + ], + [ + 89805443, + 18254609 + ], + [ + 46540813, + 90560468 + ], + [ + 98217081, + 76635698 + ], + [ + 13153989, + 19704508 + ], + [ + 74690757, + 19354877 + ], + [ + 95873296, + 29714164 + ], + [ + 10125797, + 40979567 + ], + [ + 6670493, + 87927375 + ], + [ + 75021878, + 54583444 + ], + [ + 34793505, + 2860456 + ], + [ + 83969173, + 90292187 + ], + [ + 30305847, + 46287360 + ], + [ + 87373958, + 14901492 + ], + [ + 4891502, + 89318753 + ], + [ + 69770656, + 66559087 + ], + [ + 3296758, + 41818206 + ], + [ + 78601795, + 26803077 + ], + [ + 88147, + 42286585 + ], + [ + 95002720, + 5437190 + ], + [ + 30837068, + 80451547 + ], + [ + 49342657, + 26480168 + ], + [ + 61183059, + 14972430 + ], + [ + 61582105, + 84691164 + ], + [ + 47085859, + 17757473 + ], + [ + 89411255, + 98598462 + ], + [ + 56185886, + 78899452 + ], + [ + 89187907, + 67651459 + ], + [ + 15214393, + 67827930 + ], + [ + 56306762, + 8878793 + ], + [ + 6437361, + 94128852 + ], + [ + 19757572, + 76030331 + ], + [ + 59441563, + 63374883 + ], + [ + 63592800, + 62627419 + ], + [ + 27351157, + 90300585 + ], + [ + 37336439, + 79174837 + ], + [ + 46128167, + 13621096 + ], + [ + 9350193, + 25749565 + ], + [ + 61782942, + 98479384 + ], + [ + 33992195, + 38044586 + ], + [ + 90220191, + 66297624 + ], + [ + 6962011, + 6659402 + ], + [ + 84387660, + 55760144 + ], + [ + 10372729, + 45634931 + ], + [ + 12289884, + 31986858 + ], + [ + 74846757, + 67358748 + ], + [ + 82839921, + 54274918 + ], + [ + 3879795, + 61695474 + ], + [ + 18706232, + 78370617 + ], + [ + 66087529, + 34714904 + ], + [ + 98815956, + 75472655 + ], + [ + 85819393, + 68085887 + ], + [ + 14230694, + 75940551 + ], + [ + 48375015, + 37155989 + ], + [ + 63655154, + 16418017 + ], + [ + 79434031, + 81934971 + ], + [ + 91384641, + 41663676 + ], + [ + 79063028, + 82838482 + ], + [ + 85986238, + 28419221 + ], + [ + 4462489, + 89793813 + ], + [ + 66661497, + 56621279 + ], + [ + 80778154, + 2978810 + ], + [ + 85520585, + 86375024 + ], + [ + 11851003, + 63561855 + ], + [ + 66469316, + 31034266 + ], + [ + 2070451, + 51807282 + ], + [ + 90912403, + 3194392 + ], + [ + 69272041, + 94441459 + ], + [ + 77932883, + 78714327 + ], + [ + 40146320, + 20990829 + ], + [ + 5036679, + 88966132 + ], + [ + 43181093, + 56798757 + ], + [ + 99843371, + 65774220 + ], + [ + 41287863, + 25284707 + ], + [ + 16048749, + 490532 + ], + [ + 79810689, + 58539464 + ], + [ + 1374611, + 69463275 + ], + [ + 96582093, + 76738976 + ], + [ + 89785942, + 11782553 + ], + [ + 50677430, + 18754411 + ], + [ + 23445181, + 78579945 + ], + [ + 25779882, + 8615901 + ], + [ + 99625302, + 55094628 + ], + [ + 72794446, + 54734714 + ], + [ + 25803160, + 21433558 + ], + [ + 16328687, + 7684778 + ], + [ + 76860316, + 40218156 + ], + [ + 75482768, + 74954125 + ], + [ + 44225233, + 59299907 + ], + [ + 67203797, + 4604708 + ], + [ + 31636971, + 62348045 + ], + [ + 72109296, + 63025476 + ], + [ + 25587665, + 37470360 + ], + [ + 49632971, + 64529833 + ], + [ + 23760747, + 86108457 + ], + [ + 1652027, + 64317438 + ], + [ + 41931433, + 4742482 + ], + [ + 41523882, + 20751733 + ], + [ + 62680331, + 29303099 + ], + [ + 75179809, + 55267344 + ], + [ + 3668344, + 61771400 + ], + [ + 55346008, + 65037295 + ], + [ + 19652708, + 53378268 + ], + [ + 67372557, + 45679208 + ], + [ + 98893612, + 72345601 + ], + [ + 57247062, + 69947117 + ], + [ + 71334112, + 95104989 + ], + [ + 87619557, + 26970111 + ], + [ + 49192025, + 1900143 + ], + [ + 25542337, + 99551023 + ], + [ + 35084950, + 80382085 + ], + [ + 84709809, + 14159506 + ], + [ + 67552995, + 72238099 + ], + [ + 26725134, + 79577100 + ], + [ + 90659806, + 38242220 + ], + [ + 21807560, + 59378201 + ], + [ + 53966737, + 96311441 + ], + [ + 29581394, + 83793047 + ], + [ + 41152342, + 12719208 + ], + [ + 42567981, + 95514559 + ], + [ + 7344285, + 14430168 + ], + [ + 43510063, + 84721871 + ], + [ + 28426720, + 691869 + ], + [ + 43238484, + 35502333 + ], + [ + 70580382, + 15802736 + ], + [ + 17067573, + 44121544 + ], + [ + 34287412, + 13310345 + ], + [ + 4679657, + 66854449 + ], + [ + 70273157, + 9473147 + ], + [ + 94181624, + 97412356 + ], + [ + 49108450, + 5951482 + ], + [ + 69967172, + 51910946 + ], + [ + 82289411, + 14811809 + ], + [ + 95740528, + 13409304 + ], + [ + 35601426, + 67699258 + ], + [ + 93282679, + 75106092 + ], + [ + 18712263, + 98075116 + ], + [ + 18062985, + 77366907 + ], + [ + 76483310, + 24982564 + ], + [ + 22454043, + 42755911 + ], + [ + 18925902, + 15416437 + ], + [ + 63512891, + 22667186 + ], + [ + 92582357, + 6651680 + ], + [ + 1353208, + 19754291 + ], + [ + 85302573, + 6779601 + ], + [ + 40002377, + 29742863 + ], + [ + 54131180, + 95629058 + ], + [ + 24631259, + 49983224 + ], + [ + 3703995, + 53926743 + ], + [ + 54841512, + 18230149 + ], + [ + 81370457, + 35053903 + ], + [ + 47157765, + 31652557 + ], + [ + 82780227, + 35128346 + ], + [ + 1757478, + 25230579 + ], + [ + 93267515, + 2132073 + ], + [ + 94319218, + 95724520 + ], + [ + 12315513, + 41362720 + ], + [ + 87363164, + 27675144 + ], + [ + 94743072, + 83604865 + ], + [ + 24151119, + 47754105 + ], + [ + 5887652, + 40480756 + ], + [ + 49324740, + 73346066 + ], + [ + 18641970, + 80729963 + ], + [ + 92075877, + 69025196 + ], + [ + 5091037, + 71186368 + ], + [ + 93673933, + 7159895 + ], + [ + 63161612, + 67644948 + ], + [ + 62082857, + 16981996 + ], + [ + 115103, + 10658731 + ], + [ + 30900858, + 64003149 + ], + [ + 93623178, + 1239921 + ], + [ + 8616748, + 2302038 + ], + [ + 66342571, + 15762316 + ], + [ + 31253909, + 88286107 + ], + [ + 94862787, + 20969143 + ], + [ + 7781230, + 49495092 + ], + [ + 7678170, + 69956886 + ], + [ + 1474358, + 39954846 + ], + [ + 38204328, + 23489450 + ], + [ + 81773404, + 80168758 + ], + [ + 56739128, + 19288732 + ], + [ + 94728397, + 75757506 + ], + [ + 18197379, + 66761491 + ], + [ + 20877722, + 21577366 + ], + [ + 83418015, + 55621963 + ], + [ + 20683956, + 10792207 + ], + [ + 15562756, + 8945691 + ], + [ + 85175997, + 62555342 + ], + [ + 21520538, + 43953944 + ], + [ + 72162352, + 52692852 + ], + [ + 4402810, + 85431013 + ], + [ + 31050483, + 44535228 + ], + [ + 50587519, + 4148257 + ], + [ + 85417272, + 98267524 + ], + [ + 81359603, + 90232002 + ], + [ + 35576688, + 85798860 + ], + [ + 39710343, + 45792266 + ], + [ + 79769610, + 26619211 + ], + [ + 24991733, + 94441502 + ], + [ + 16514409, + 53072682 + ], + [ + 66750767, + 35508113 + ], + [ + 25290057, + 28869842 + ], + [ + 15367382, + 47492947 + ], + [ + 65904929, + 65261609 + ], + [ + 27935803, + 23477318 + ], + [ + 8026484, + 39369509 + ], + [ + 71220395, + 78266810 + ], + [ + 6737511, + 81025743 + ], + [ + 19909011, + 10142190 + ], + [ + 937451, + 66289176 + ], + [ + 47808416, + 74550665 + ], + [ + 99707546, + 41726034 + ], + [ + 65847182, + 79023584 + ], + [ + 64478906, + 81705445 + ], + [ + 41426786, + 70664738 + ], + [ + 18932678, + 58324102 + ], + [ + 29968998, + 82344438 + ], + [ + 20455359, + 71150401 + ], + [ + 2315988, + 8942701 + ], + [ + 56769999, + 66385905 + ], + [ + 29380830, + 37507902 + ], + [ + 39522666, + 90360648 + ], + [ + 85341804, + 26128613 + ], + [ + 63805263, + 53870962 + ], + [ + 36150727, + 7984486 + ], + [ + 24995910, + 85103668 + ], + [ + 72319706, + 20286590 + ], + [ + 42300226, + 23261745 + ], + [ + 83816170, + 19305788 + ], + [ + 36837003, + 91704412 + ], + [ + 21185502, + 57965360 + ], + [ + 11643002, + 56908610 + ], + [ + 85971687, + 18428095 + ], + [ + 40121980, + 41093027 + ], + [ + 1384741, + 32294272 + ], + [ + 88764019, + 75672375 + ], + [ + 44375512, + 14043064 + ], + [ + 11776202, + 41598747 + ], + [ + 95900835, + 11434148 + ], + [ + 22724510, + 84140690 + ], + [ + 92298751, + 96368590 + ], + [ + 31934167, + 30084284 + ], + [ + 809373, + 40232975 + ], + [ + 25282560, + 73322675 + ], + [ + 12135003, + 71368651 + ], + [ + 46954427, + 34429330 + ], + [ + 90086044, + 55271881 + ], + [ + 97830031, + 75420030 + ], + [ + 66421516, + 72683013 + ], + [ + 24901423, + 63680845 + ], + [ + 80330255, + 96585585 + ], + [ + 27548546, + 95791110 + ], + [ + 42281593, + 19567321 + ], + [ + 23704777, + 86541930 + ], + [ + 71922564, + 87672873 + ], + [ + 92579622, + 12515490 + ], + [ + 96221866, + 63827435 + ], + [ + 52552952, + 68714550 + ], + [ + 2081253, + 26964894 + ], + [ + 34596893, + 70170001 + ], + [ + 37811479, + 17390190 + ], + [ + 81170106, + 74577600 + ], + [ + 88272454, + 73049667 + ], + [ + 66760651, + 43092821 + ], + [ + 26607010, + 6505560 + ], + [ + 60872991, + 93105654 + ], + [ + 65316065, + 68921608 + ], + [ + 36543605, + 40396781 + ], + [ + 45635872, + 85764757 + ], + [ + 58392334, + 16156760 + ], + [ + 61395494, + 79763407 + ], + [ + 2842365, + 70553837 + ], + [ + 95368336, + 84608386 + ], + [ + 33311927, + 24404602 + ], + [ + 11459459, + 86482869 + ], + [ + 68759521, + 14774397 + ], + [ + 76547288, + 49919140 + ], + [ + 98141772, + 39692312 + ], + [ + 66137582, + 89888928 + ], + [ + 19589731, + 80218869 + ], + [ + 74268743, + 41018296 + ], + [ + 66456916, + 58667579 + ], + [ + 68352257, + 56844659 + ], + [ + 58982324, + 16260712 + ], + [ + 46563156, + 61590867 + ], + [ + 53775786, + 50920438 + ], + [ + 6196909, + 87268779 + ], + [ + 92377587, + 23545850 + ], + [ + 18259504, + 74915847 + ], + [ + 56553022, + 56930038 + ], + [ + 18185610, + 64294789 + ], + [ + 67212146, + 76857668 + ], + [ + 59147029, + 28663383 + ], + [ + 31648957, + 38604843 + ], + [ + 60950432, + 99295278 + ], + [ + 21369446, + 5466506 + ], + [ + 91321207, + 46894685 + ], + [ + 89389084, + 59679126 + ], + [ + 80967046, + 16255505 + ], + [ + 74705218, + 83798610 + ], + [ + 33122262, + 85291037 + ], + [ + 13569081, + 58803744 + ], + [ + 93063196, + 17165874 + ], + [ + 70042869, + 93660639 + ], + [ + 61453278, + 96119996 + ], + [ + 63255251, + 8987315 + ], + [ + 23880837, + 23265621 + ], + [ + 39654754, + 94740420 + ], + [ + 54439592, + 82206329 + ], + [ + 73481685, + 70683394 + ], + [ + 32942631, + 85429278 + ], + [ + 34699671, + 53595530 + ], + [ + 85393457, + 33787138 + ], + [ + 68767142, + 27503428 + ], + [ + 36108366, + 56785513 + ], + [ + 66588916, + 84118566 + ], + [ + 32905629, + 20464265 + ], + [ + 96256486, + 61026816 + ], + [ + 13734620, + 72122315 + ], + [ + 3858388, + 77474715 + ], + [ + 22339970, + 9194360 + ], + [ + 50109108, + 73050228 + ], + [ + 41474822, + 97316879 + ], + [ + 39105813, + 45131843 + ], + [ + 38377922, + 70701222 + ], + [ + 18115341, + 44197146 + ], + [ + 17943127, + 6827749 + ], + [ + 70667429, + 34604040 + ], + [ + 83057497, + 96077509 + ], + [ + 36392453, + 61571505 + ], + [ + 65013711, + 7057788 + ], + [ + 16039149, + 21519425 + ], + [ + 46505613, + 67261767 + ], + [ + 19650286, + 88391329 + ], + [ + 86349626, + 20404483 + ], + [ + 482672, + 85138751 + ], + [ + 23321574, + 14481849 + ], + [ + 19963671, + 47497367 + ], + [ + 6482893, + 53698172 + ], + [ + 7830192, + 78962902 + ], + [ + 75035463, + 88821944 + ], + [ + 80185706, + 5714420 + ], + [ + 98235389, + 69017140 + ], + [ + 84509796, + 3731288 + ], + [ + 5873390, + 6323964 + ], + [ + 17286911, + 32476734 + ], + [ + 24824518, + 75825527 + ], + [ + 73676462, + 19500990 + ], + [ + 83670626, + 72988393 + ], + [ + 37179338, + 55213477 + ], + [ + 86537187, + 96475740 + ], + [ + 13452937, + 2987701 + ], + [ + 95242564, + 74317858 + ], + [ + 29582561, + 69098012 + ], + [ + 15789752, + 6035868 + ], + [ + 82819302, + 49272404 + ], + [ + 95460248, + 78528680 + ], + [ + 67801005, + 10149817 + ], + [ + 93126528, + 36219122 + ], + [ + 70501379, + 35695187 + ], + [ + 66524957, + 69943593 + ], + [ + 39446581, + 38285525 + ], + [ + 71476640, + 92112088 + ], + [ + 78359454, + 46348429 + ], + [ + 86715130, + 57817074 + ], + [ + 72524802, + 61430171 + ], + [ + 8883728, + 45126726 + ], + [ + 11304598, + 39757512 + ], + [ + 6445962, + 95900014 + ], + [ + 30264634, + 81085131 + ], + [ + 7980488, + 32139175 + ], + [ + 26186222, + 40399946 + ], + [ + 5131184, + 8769403 + ], + [ + 5214482, + 41273569 + ], + [ + 46775055, + 2084417 + ], + [ + 50777240, + 94977513 + ], + [ + 2088252, + 83897152 + ], + [ + 26879573, + 61953258 + ], + [ + 9352097, + 69207516 + ], + [ + 31662094, + 79011493 + ], + [ + 62453222, + 85826787 + ], + [ + 12275281, + 84132081 + ], + [ + 28095081, + 8006255 + ], + [ + 49802431, + 84816458 + ], + [ + 4622551, + 74725624 + ], + [ + 53322369, + 47690466 + ], + [ + 61560332, + 23804035 + ], + [ + 66818330, + 23791145 + ], + [ + 54541582, + 53838478 + ], + [ + 61636818, + 20285918 + ], + [ + 40199496, + 15097659 + ], + [ + 18998280, + 22001768 + ], + [ + 22104557, + 91158456 + ], + [ + 3994649, + 44969590 + ], + [ + 32355435, + 77284828 + ], + [ + 44074524, + 7116756 + ], + [ + 54359545, + 5767387 + ], + [ + 69320694, + 55958512 + ], + [ + 54637745, + 86357756 + ], + [ + 12899912, + 25461131 + ], + [ + 29892791, + 37918214 + ], + [ + 6968427, + 12429355 + ], + [ + 25165015, + 61868567 + ], + [ + 88104111, + 11367546 + ], + [ + 40630102, + 28258547 + ], + [ + 27628614, + 3603842 + ], + [ + 21161345, + 77962390 + ], + [ + 39738734, + 54264267 + ], + [ + 75720311, + 19667341 + ], + [ + 28516841, + 75700210 + ], + [ + 4069174, + 67543020 + ], + [ + 55785271, + 18062721 + ], + [ + 39673027, + 16466675 + ], + [ + 73935204, + 58990114 + ], + [ + 61553217, + 91026782 + ], + [ + 92944923, + 47121746 + ], + [ + 75080121, + 55472374 + ], + [ + 72856902, + 76386712 + ], + [ + 69211320, + 78835530 + ], + [ + 33371247, + 42010511 + ], + [ + 75989010, + 49586097 + ], + [ + 68533757, + 60005495 + ], + [ + 8726874, + 17433146 + ], + [ + 16121995, + 7109889 + ], + [ + 18717375, + 17557709 + ], + [ + 14265021, + 9895153 + ], + [ + 32337782, + 82230066 + ], + [ + 99731704, + 48343827 + ], + [ + 82141916, + 69863707 + ], + [ + 27257978, + 96353052 + ], + [ + 88415269, + 93554405 + ], + [ + 44107566, + 18103990 + ], + [ + 45535330, + 21081747 + ], + [ + 76888504, + 35546951 + ], + [ + 79596760, + 39803556 + ], + [ + 79840757, + 88899631 + ], + [ + 78760881, + 59349293 + ], + [ + 5939498, + 94275560 + ], + [ + 19800056, + 73818502 + ], + [ + 54006696, + 10634396 + ], + [ + 45992630, + 76589989 + ], + [ + 74832029, + 23247962 + ], + [ + 74309103, + 13773377 + ], + [ + 46658434, + 69710938 + ], + [ + 5047113, + 37786954 + ], + [ + 37778163, + 42377362 + ], + [ + 89462790, + 16047217 + ], + [ + 88220651, + 40770957 + ], + [ + 14437121, + 81839612 + ], + [ + 94843459, + 77773460 + ], + [ + 71628237, + 26790719 + ], + [ + 84923186, + 22012848 + ], + [ + 1072860, + 11620268 + ], + [ + 94176527, + 92873555 + ], + [ + 83490147, + 76947503 + ], + [ + 4065559, + 75559061 + ], + [ + 60001739, + 4242048 + ], + [ + 28048123, + 20321892 + ], + [ + 13231937, + 84505505 + ], + [ + 35103985, + 31640696 + ], + [ + 7237611, + 99911091 + ], + [ + 31749062, + 24899174 + ], + [ + 69305175, + 11043952 + ], + [ + 44209488, + 88796795 + ], + [ + 19728634, + 92736110 + ], + [ + 29477360, + 30979393 + ], + [ + 97203081, + 84023848 + ], + [ + 76220594, + 47613063 + ], + [ + 34871565, + 51314757 + ], + [ + 7728890, + 82209444 + ], + [ + 47127722, + 64574007 + ], + [ + 78832542, + 93430160 + ], + [ + 70583563, + 45102264 + ], + [ + 93052923, + 97434085 + ], + [ + 85419223, + 86086466 + ], + [ + 24755688, + 1963384 + ], + [ + 99557068, + 20414364 + ], + [ + 75618525, + 96866865 + ], + [ + 30336005, + 23855709 + ], + [ + 38177708, + 98828681 + ], + [ + 57746650, + 66597388 + ], + [ + 74135529, + 98554343 + ], + [ + 16511324, + 9162270 + ], + [ + 74775555, + 44523153 + ], + [ + 45217885, + 89939513 + ], + [ + 97029368, + 53848378 + ], + [ + 30539759, + 74225228 + ], + [ + 95230730, + 15032813 + ], + [ + 94228000, + 47877638 + ], + [ + 31075812, + 124506 + ], + [ + 14492920, + 99610160 + ], + [ + 31069798, + 65748355 + ], + [ + 20070976, + 53966965 + ], + [ + 75062159, + 10649713 + ], + [ + 40125790, + 9757720 + ], + [ + 22736920, + 57114170 + ], + [ + 30291028, + 68255219 + ], + [ + 74189195, + 21791968 + ], + [ + 331125, + 54669543 + ], + [ + 90614176, + 51351807 + ], + [ + 91732725, + 81849486 + ], + [ + 87161295, + 95483846 + ], + [ + 47378244, + 87195363 + ], + [ + 60295086, + 77446342 + ], + [ + 38751647, + 67908266 + ], + [ + 30401858, + 55379930 + ], + [ + 30207621, + 29384231 + ], + [ + 21449590, + 67627977 + ], + [ + 46874004, + 63448735 + ], + [ + 19284748, + 45599061 + ], + [ + 2098309, + 79603168 + ], + [ + 82261376, + 10164680 + ], + [ + 66710246, + 29393847 + ], + [ + 77018817, + 29220149 + ], + [ + 40973707, + 49113091 + ], + [ + 45389595, + 68001659 + ], + [ + 27501282, + 18658345 + ], + [ + 48601618, + 40095767 + ], + [ + 51669493, + 98813455 + ], + [ + 84607201, + 58393773 + ], + [ + 26193846, + 97634170 + ], + [ + 22280512, + 89727071 + ], + [ + 91266959, + 9243553 + ], + [ + 63346470, + 36196525 + ], + [ + 2156276, + 44336414 + ], + [ + 81405928, + 30292700 + ], + [ + 43519803, + 62253499 + ], + [ + 39137408, + 13858663 + ], + [ + 19366693, + 94724802 + ], + [ + 49473731, + 66781144 + ], + [ + 67300745, + 74930665 + ], + [ + 52052121, + 58378662 + ], + [ + 22747210, + 14265573 + ], + [ + 90882403, + 28030941 + ], + [ + 66730780, + 15963164 + ], + [ + 47262897, + 40201146 + ], + [ + 40994163, + 30784330 + ], + [ + 7702678, + 91905335 + ], + [ + 81766133, + 97901220 + ], + [ + 46348651, + 53237227 + ], + [ + 42678582, + 11680252 + ], + [ + 99395300, + 62123876 + ], + [ + 95206423, + 6480704 + ], + [ + 32482979, + 29330931 + ], + [ + 93756068, + 28942577 + ], + [ + 23379701, + 83918568 + ], + [ + 90964200, + 88303605 + ], + [ + 45152294, + 91733842 + ], + [ + 94436800, + 92452267 + ], + [ + 11605476, + 28343232 + ], + [ + 63786275, + 53533193 + ], + [ + 54579552, + 33945763 + ], + [ + 98343858, + 83860859 + ], + [ + 57136472, + 70088304 + ], + [ + 99032548, + 7839629 + ], + [ + 32254318, + 75297901 + ], + [ + 3529715, + 46323672 + ], + [ + 65710242, + 46347660 + ], + [ + 90106556, + 98783696 + ], + [ + 59608650, + 56857177 + ], + [ + 8022310, + 54758754 + ], + [ + 37765068, + 57320810 + ], + [ + 76382534, + 36268657 + ], + [ + 19799726, + 71094753 + ], + [ + 6891188, + 35249103 + ], + [ + 70712135, + 72422429 + ], + [ + 44340803, + 42582278 + ], + [ + 92588183, + 60028070 + ], + [ + 78356498, + 73338379 + ], + [ + 1862737, + 16791180 + ], + [ + 99051148, + 28407622 + ], + [ + 42119287, + 18801785 + ], + [ + 38717169, + 66079226 + ], + [ + 4966475, + 96008129 + ], + [ + 86743633, + 74243169 + ], + [ + 95280618, + 12440273 + ], + [ + 68693587, + 85795997 + ], + [ + 24131113, + 65633639 + ], + [ + 46587669, + 99796991 + ], + [ + 21644851, + 51495022 + ], + [ + 61354297, + 16708128 + ], + [ + 8039206, + 48719244 + ], + [ + 27349375, + 99452075 + ], + [ + 56172003, + 86880215 + ], + [ + 95631016, + 3542625 + ], + [ + 43997336, + 47714179 + ], + [ + 78029860, + 68044482 + ], + [ + 11518985, + 88186741 + ], + [ + 34545244, + 54468054 + ], + [ + 87099065, + 50867435 + ], + [ + 61689286, + 97014086 + ], + [ + 51594950, + 83996953 + ], + [ + 85066299, + 96948916 + ], + [ + 728366, + 7676159 + ], + [ + 72333118, + 59610764 + ], + [ + 59035057, + 50880841 + ], + [ + 28910192, + 37695268 + ], + [ + 76649240, + 73765320 + ], + [ + 62735658, + 55718308 + ], + [ + 83325709, + 54598108 + ], + [ + 27946930, + 15416589 + ], + [ + 2320435, + 9459341 + ], + [ + 8398451, + 86346890 + ], + [ + 83855863, + 25551381 + ], + [ + 17959406, + 60968893 + ], + [ + 99285150, + 1019717 + ], + [ + 96354017, + 74997415 + ], + [ + 81306668, + 19621801 + ], + [ + 60590284, + 19270289 + ], + [ + 70934732, + 53361977 + ], + [ + 80618392, + 95813522 + ], + [ + 25933500, + 81852991 + ], + [ + 85531217, + 63946444 + ], + [ + 64513075, + 50522080 + ], + [ + 89664894, + 61878312 + ], + [ + 129419, + 7043151 + ], + [ + 81271866, + 99068881 + ], + [ + 49715310, + 91496445 + ], + [ + 73848034, + 75649396 + ], + [ + 46961639, + 30209329 + ], + [ + 21261695, + 8910912 + ], + [ + 24095311, + 37521669 + ], + [ + 57724996, + 1850274 + ], + [ + 78091840, + 52262276 + ], + [ + 29028831, + 76874940 + ], + [ + 50261623, + 18107572 + ], + [ + 21520151, + 96046242 + ], + [ + 47766042, + 44268344 + ], + [ + 84534461, + 65378225 + ], + [ + 85277070, + 49327285 + ], + [ + 14254536, + 67593282 + ], + [ + 64099081, + 40567578 + ], + [ + 66012407, + 14569429 + ], + [ + 53700944, + 12514464 + ], + [ + 99650296, + 82694760 + ], + [ + 53293684, + 66570839 + ], + [ + 69008786, + 38674981 + ], + [ + 11516742, + 49955290 + ], + [ + 93691907, + 69127301 + ], + [ + 95014738, + 85458062 + ], + [ + 64590896, + 17242542 + ], + [ + 39138050, + 84820203 + ], + [ + 79696280, + 70884523 + ], + [ + 94309412, + 6860178 + ], + [ + 58569252, + 11476 + ], + [ + 78719724, + 40069220 + ], + [ + 74500740, + 21500950 + ], + [ + 11637875, + 63276370 + ], + [ + 91994508, + 79075430 + ], + [ + 88919842, + 40216810 + ], + [ + 6643820, + 42352777 + ], + [ + 81268226, + 2140832 + ], + [ + 68621033, + 57839078 + ], + [ + 25515462, + 14594676 + ], + [ + 12941092, + 8799805 + ], + [ + 30692712, + 47077070 + ], + [ + 3338188, + 9481496 + ], + [ + 87009275, + 52286460 + ], + [ + 26903732, + 64151133 + ], + [ + 13105856, + 62329547 + ], + [ + 94521822, + 12015489 + ], + [ + 11568134, + 54142574 + ], + [ + 31219903, + 49491106 + ], + [ + 63581140, + 41647187 + ], + [ + 50955793, + 45655507 + ], + [ + 94578769, + 72648236 + ], + [ + 43094938, + 1597361 + ], + [ + 3501363, + 84855295 + ], + [ + 95796689, + 20980247 + ], + [ + 67306446, + 20068176 + ], + [ + 4591623, + 85194773 + ], + [ + 87182108, + 31101495 + ], + [ + 51736895, + 88854476 + ], + [ + 29082276, + 66616535 + ], + [ + 82923243, + 21506870 + ], + [ + 77027834, + 72650385 + ], + [ + 51783113, + 57018621 + ], + [ + 48071220, + 9616802 + ], + [ + 44674165, + 57420909 + ], + [ + 71034575, + 7753613 + ], + [ + 34908086, + 44896110 + ], + [ + 73626298, + 97876208 + ], + [ + 58079521, + 60554623 + ], + [ + 69141123, + 69698946 + ], + [ + 57443788, + 98611540 + ], + [ + 11981741, + 58166923 + ], + [ + 98897802, + 20655317 + ], + [ + 35628345, + 57107633 + ], + [ + 39281858, + 80790702 + ], + [ + 82298732, + 43016443 + ], + [ + 74352877, + 71571346 + ], + [ + 26836273, + 44877744 + ], + [ + 956527, + 59455906 + ], + [ + 62605275, + 32972808 + ], + [ + 35319200, + 45139405 + ], + [ + 50215660, + 26572744 + ], + [ + 17303617, + 58308628 + ], + [ + 25242673, + 29849220 + ], + [ + 50834376, + 75917691 + ], + [ + 32683581, + 25232343 + ], + [ + 19095784, + 23018696 + ], + [ + 27749703, + 69681073 + ], + [ + 77054650, + 47744256 + ], + [ + 92161083, + 78149122 + ], + [ + 83178050, + 89411588 + ], + [ + 57745740, + 82064538 + ], + [ + 52650756, + 74312543 + ], + [ + 23828457, + 34047863 + ], + [ + 16456524, + 5138499 + ], + [ + 49811944, + 24075294 + ], + [ + 28166279, + 62801292 + ], + [ + 12087318, + 38249021 + ], + [ + 14582381, + 72220856 + ], + [ + 61514644, + 61340598 + ], + [ + 11653116, + 90979017 + ], + [ + 43509964, + 3639254 + ], + [ + 93761885, + 57877482 + ], + [ + 6299820, + 11639978 + ], + [ + 54986130, + 70825885 + ], + [ + 10193540, + 31305465 + ], + [ + 55935111, + 87090563 + ], + [ + 56976672, + 29246611 + ], + [ + 53256668, + 96580403 + ], + [ + 70202344, + 13212216 + ], + [ + 20819392, + 93800108 + ], + [ + 34571256, + 78656985 + ], + [ + 3668907, + 14197542 + ], + [ + 67973966, + 67988721 + ], + [ + 29678171, + 36217552 + ], + [ + 79045648, + 42132238 + ], + [ + 77023413, + 82737586 + ], + [ + 70991732, + 23617641 + ], + [ + 37719427, + 93626583 + ], + [ + 54229080, + 31059486 + ], + [ + 96104485, + 14469848 + ], + [ + 64862047, + 59571463 + ], + [ + 97798152, + 33163639 + ], + [ + 26708183, + 47241399 + ], + [ + 50451711, + 91590447 + ], + [ + 877545, + 68575745 + ], + [ + 56093304, + 26439795 + ], + [ + 59398852, + 3030532 + ], + [ + 78423378, + 65111233 + ], + [ + 87015578, + 20365374 + ], + [ + 37113566, + 76466242 + ], + [ + 36042070, + 70628364 + ], + [ + 86517549, + 91450981 + ], + [ + 72099372, + 66203032 + ], + [ + 71239239, + 18602311 + ], + [ + 19164445, + 21001726 + ], + [ + 94470863, + 88195801 + ], + [ + 46861603, + 53127683 + ], + [ + 78067260, + 99470657 + ], + [ + 51912329, + 51394741 + ], + [ + 2261725, + 67854120 + ], + [ + 4462358, + 56457459 + ], + [ + 48608534, + 13491879 + ], + [ + 65182226, + 49655697 + ], + [ + 22643567, + 49498645 + ], + [ + 89617056, + 85906187 + ], + [ + 10845418, + 22792436 + ], + [ + 63727743, + 89882815 + ], + [ + 85281621, + 79829987 + ], + [ + 97264576, + 13311044 + ], + [ + 85341243, + 59216895 + ], + [ + 22533569, + 81523109 + ], + [ + 96904849, + 10596866 + ], + [ + 30249621, + 68747395 + ], + [ + 72448946, + 86820628 + ], + [ + 77022146, + 76784175 + ], + [ + 41787151, + 85292683 + ], + [ + 45769045, + 49623029 + ], + [ + 96133545, + 25264643 + ], + [ + 95363015, + 13432743 + ], + [ + 37373892, + 61093803 + ], + [ + 79623584, + 77350232 + ], + [ + 14078043, + 42829537 + ], + [ + 7755488, + 83118844 + ], + [ + 71789390, + 14450662 + ], + [ + 84545008, + 46617584 + ], + [ + 64692183, + 10215780 + ], + [ + 53882707, + 7444171 + ], + [ + 12513369, + 68466509 + ], + [ + 78855834, + 80899329 + ], + [ + 26428677, + 37971803 + ], + [ + 10983179, + 45663564 + ], + [ + 8397096, + 25058618 + ], + [ + 97465650, + 27227743 + ], + [ + 19314352, + 6945369 + ], + [ + 57808002, + 82450979 + ], + [ + 38231588, + 91261785 + ], + [ + 67851230, + 98435982 + ], + [ + 66112669, + 49957863 + ], + [ + 18887675, + 48043553 + ], + [ + 72119515, + 39361443 + ], + [ + 24256157, + 97184437 + ], + [ + 2859605, + 17041893 + ], + [ + 16901556, + 9632434 + ], + [ + 93538973, + 94604043 + ], + [ + 41527583, + 44100998 + ], + [ + 5514664, + 95739517 + ], + [ + 94812007, + 5293614 + ], + [ + 43016347, + 2149309 + ], + [ + 58893167, + 63170633 + ], + [ + 63796652, + 94518880 + ], + [ + 34177003, + 70790248 + ], + [ + 69380222, + 25953658 + ], + [ + 3011147, + 81840487 + ], + [ + 57648215, + 84654670 + ], + [ + 93433319, + 28554473 + ], + [ + 28010799, + 51608953 + ], + [ + 82611525, + 84996847 + ], + [ + 58358858, + 41154958 + ], + [ + 82921400, + 77015648 + ], + [ + 15668046, + 64495085 + ], + [ + 21161043, + 77192483 + ], + [ + 50865904, + 12847324 + ], + [ + 26030621, + 65277441 + ], + [ + 49080076, + 57305800 + ], + [ + 26219798, + 27482504 + ], + [ + 21470510, + 42390429 + ], + [ + 28530073, + 94278709 + ], + [ + 89117734, + 13392121 + ], + [ + 34348, + 62578646 + ], + [ + 33890267, + 5520750 + ], + [ + 25005594, + 86579077 + ], + [ + 43189434, + 35945280 + ], + [ + 34898565, + 83715258 + ], + [ + 14966523, + 34878638 + ], + [ + 75906546, + 69434056 + ], + [ + 41748884, + 54716565 + ], + [ + 24615246, + 6616790 + ], + [ + 57572123, + 94542246 + ], + [ + 14677644, + 53185871 + ], + [ + 97622939, + 13008403 + ], + [ + 45469142, + 22614958 + ], + [ + 27334828, + 89580795 + ], + [ + 54931862, + 2973355 + ], + [ + 23520900, + 48059235 + ], + [ + 69999333, + 37927286 + ], + [ + 728759, + 18904101 + ], + [ + 76930606, + 37317973 + ], + [ + 2261701, + 57373548 + ], + [ + 86339944, + 36824797 + ], + [ + 69301540, + 386303 + ], + [ + 72122434, + 72472220 + ], + [ + 12518504, + 53389342 + ], + [ + 298461, + 25387728 + ], + [ + 60473680, + 29827704 + ], + [ + 80404267, + 71164390 + ], + [ + 6047558, + 58501600 + ], + [ + 87070171, + 18416876 + ], + [ + 59186533, + 25711660 + ], + [ + 28500490, + 63982981 + ], + [ + 71877003, + 2450622 + ], + [ + 98443197, + 91331650 + ], + [ + 79392936, + 60203497 + ], + [ + 37355316, + 14478230 + ], + [ + 32591625, + 42768496 + ], + [ + 59247921, + 28874659 + ], + [ + 24603015, + 4411355 + ], + [ + 12644621, + 76043833 + ], + [ + 35941264, + 45860414 + ], + [ + 17324894, + 17936070 + ], + [ + 37013848, + 88172344 + ], + [ + 63313908, + 79100343 + ], + [ + 47569877, + 47754171 + ], + [ + 15997078, + 1437184 + ], + [ + 65744064, + 836899 + ], + [ + 27489398, + 42011612 + ], + [ + 11391509, + 69593122 + ], + [ + 13407327, + 12898281 + ], + [ + 99683714, + 3740982 + ], + [ + 51258771, + 74886048 + ], + [ + 67985984, + 7304815 + ], + [ + 84747373, + 95036140 + ], + [ + 54448180, + 42914176 + ], + [ + 56997789, + 82221125 + ], + [ + 91021283, + 10151694 + ], + [ + 80635166, + 9878601 + ], + [ + 56654591, + 91431194 + ], + [ + 56764665, + 83602365 + ], + [ + 56157012, + 60790842 + ], + [ + 926592, + 16653796 + ], + [ + 36086969, + 14277001 + ], + [ + 70988841, + 99255668 + ], + [ + 77605864, + 68207669 + ], + [ + 8514445, + 60739414 + ], + [ + 75638548, + 7373503 + ], + [ + 80540617, + 47614807 + ], + [ + 63750458, + 45043640 + ], + [ + 44108594, + 59352983 + ], + [ + 82629776, + 1444051 + ], + [ + 48882779, + 95667898 + ], + [ + 738425, + 57641782 + ], + [ + 13700885, + 34368056 + ], + [ + 75448332, + 42206446 + ], + [ + 93502932, + 82368401 + ], + [ + 38430954, + 29122892 + ], + [ + 12876250, + 26586835 + ], + [ + 33588261, + 12766617 + ], + [ + 56139863, + 85142920 + ], + [ + 88931021, + 59307535 + ], + [ + 72265606, + 74606833 + ], + [ + 2223426, + 72688089 + ], + [ + 34548665, + 32030864 + ], + [ + 42321191, + 10213101 + ], + [ + 15754132, + 24684482 + ], + [ + 77451818, + 62987733 + ], + [ + 48022663, + 69423766 + ], + [ + 78240812, + 48668947 + ], + [ + 26739957, + 88166942 + ], + [ + 2184515, + 52907938 + ], + [ + 71166028, + 15843143 + ], + [ + 40483659, + 66302556 + ], + [ + 25843602, + 76450041 + ], + [ + 56908345, + 24940366 + ], + [ + 16207307, + 94342500 + ], + [ + 6352427, + 68292657 + ], + [ + 53674292, + 35572224 + ], + [ + 90876182, + 64758693 + ], + [ + 34119928, + 46112383 + ], + [ + 73767040, + 48954769 + ], + [ + 7337251, + 93645463 + ], + [ + 38652473, + 80720257 + ], + [ + 15939097, + 79428975 + ], + [ + 43944483, + 79744634 + ], + [ + 47917745, + 64500449 + ], + [ + 32373718, + 29819184 + ], + [ + 26658721, + 42263121 + ], + [ + 70352682, + 14669741 + ], + [ + 55790199, + 10495885 + ], + [ + 77337332, + 2342873 + ], + [ + 77656066, + 34814055 + ], + [ + 93256514, + 91655180 + ], + [ + 82968611, + 59974453 + ], + [ + 14653364, + 23894993 + ], + [ + 51786951, + 19426169 + ], + [ + 94713343, + 61631129 + ], + [ + 4638343, + 79670355 + ], + [ + 69001658, + 68990972 + ], + [ + 9367085, + 5606083 + ], + [ + 64737054, + 47482875 + ], + [ + 24352050, + 18925703 + ], + [ + 48663216, + 48567341 + ], + [ + 21938107, + 55156777 + ], + [ + 69930541, + 91824815 + ], + [ + 80452042, + 71125840 + ], + [ + 69878674, + 36014325 + ], + [ + 38639600, + 82656436 + ], + [ + 68242409, + 70974987 + ], + [ + 66284573, + 47954249 + ], + [ + 12450974, + 47239886 + ], + [ + 67221905, + 88953160 + ], + [ + 49433365, + 83149355 + ], + [ + 11674738, + 15357415 + ], + [ + 31311942, + 49474412 + ], + [ + 33207606, + 32246957 + ], + [ + 98928814, + 39337388 + ], + [ + 26963161, + 83816905 + ], + [ + 20773827, + 30979358 + ], + [ + 24947480, + 68960586 + ], + [ + 87961550, + 25282790 + ], + [ + 31739438, + 29590972 + ], + [ + 41606269, + 1630757 + ], + [ + 39909941, + 74525153 + ], + [ + 45010171, + 27896340 + ], + [ + 3127676, + 58384632 + ], + [ + 86766175, + 9240810 + ], + [ + 79730480, + 17186013 + ], + [ + 93109719, + 47874770 + ], + [ + 27804343, + 31556687 + ], + [ + 54153804, + 28699624 + ], + [ + 6211133, + 89730686 + ], + [ + 45594643, + 57589040 + ], + [ + 73533631, + 76548080 + ], + [ + 24102716, + 33356474 + ], + [ + 59579994, + 64971532 + ], + [ + 4696449, + 9856561 + ], + [ + 9051668, + 82715620 + ], + [ + 89850037, + 65617815 + ], + [ + 82029119, + 13207383 + ], + [ + 56273091, + 45177712 + ], + [ + 89342251, + 14392138 + ], + [ + 6856986, + 58690072 + ], + [ + 13750067, + 81088121 + ], + [ + 29010976, + 41904099 + ], + [ + 48499462, + 80282186 + ], + [ + 89892272, + 32433189 + ], + [ + 24308756, + 52910432 + ], + [ + 95830756, + 6309465 + ], + [ + 64418567, + 82813867 + ], + [ + 71922176, + 16000093 + ], + [ + 88690885, + 97330580 + ], + [ + 34893259, + 27249206 + ], + [ + 13016189, + 67253280 + ], + [ + 14668875, + 12569634 + ], + [ + 25500445, + 28298332 + ], + [ + 45574262, + 6222130 + ], + [ + 86678927, + 91005537 + ], + [ + 47451931, + 10881469 + ], + [ + 10685694, + 87020692 + ], + [ + 37512403, + 3704707 + ], + [ + 9556729, + 97924544 + ], + [ + 85119441, + 72206320 + ], + [ + 12838522, + 31494306 + ], + [ + 52955728, + 15965315 + ], + [ + 40530108, + 85972536 + ], + [ + 1423968, + 98395449 + ], + [ + 17994823, + 1026748 + ], + [ + 48276435, + 30487761 + ], + [ + 40671920, + 72876098 + ], + [ + 6297569, + 44939964 + ], + [ + 99662740, + 98285264 + ], + [ + 88300623, + 66077307 + ], + [ + 42708974, + 46984527 + ], + [ + 26433580, + 84786312 + ], + [ + 77136406, + 38948146 + ], + [ + 39883992, + 92343203 + ], + [ + 69419306, + 38904003 + ], + [ + 91059895, + 65738292 + ], + [ + 85442992, + 4638500 + ], + [ + 17553683, + 76665194 + ], + [ + 5717565, + 77612462 + ], + [ + 36744748, + 6792875 + ], + [ + 73086888, + 89727385 + ], + [ + 5538553, + 88625379 + ], + [ + 39780090, + 79726672 + ], + [ + 97078903, + 55736970 + ], + [ + 66909140, + 83821073 + ], + [ + 34812179, + 48285656 + ], + [ + 47212246, + 57167225 + ], + [ + 62567171, + 44439037 + ], + [ + 97713950, + 11196797 + ], + [ + 72487893, + 4336425 + ], + [ + 7380840, + 6365751 + ], + [ + 84211116, + 17839905 + ], + [ + 91631469, + 90436225 + ], + [ + 35808521, + 44696193 + ], + [ + 36210648, + 76889358 + ], + [ + 91023407, + 4018543 + ], + [ + 65256212, + 60589283 + ], + [ + 74277101, + 11966848 + ], + [ + 27340250, + 59858215 + ], + [ + 18304993, + 31903018 + ], + [ + 14150197, + 1745271 + ], + [ + 54950130, + 15606361 + ], + [ + 83020702, + 37639411 + ], + [ + 79826088, + 10896195 + ], + [ + 4594105, + 56541148 + ], + [ + 81967409, + 36827002 + ], + [ + 54345907, + 88862851 + ], + [ + 61760053, + 56678223 + ], + [ + 9315203, + 29005122 + ], + [ + 59840852, + 87671882 + ], + [ + 56202241, + 48457071 + ], + [ + 10182982, + 47086464 + ], + [ + 96300506, + 72540250 + ], + [ + 73896961, + 6938669 + ], + [ + 90111599, + 19968162 + ], + [ + 16642357, + 24313234 + ], + [ + 32472676, + 1602422 + ], + [ + 95103485, + 47228111 + ], + [ + 87613270, + 849814 + ], + [ + 31657783, + 64484915 + ], + [ + 16963352, + 66707046 + ], + [ + 22223640, + 60034434 + ], + [ + 40782148, + 54770458 + ], + [ + 54930399, + 30348475 + ], + [ + 18337194, + 58970554 + ], + [ + 8548990, + 38265273 + ], + [ + 58096450, + 14420987 + ], + [ + 27969669, + 90312038 + ], + [ + 8722531, + 41346957 + ], + [ + 10417008, + 63914840 + ], + [ + 94115753, + 1521577 + ], + [ + 65731536, + 36412153 + ], + [ + 28038138, + 22916799 + ], + [ + 45604129, + 41965534 + ], + [ + 89231024, + 88378842 + ], + [ + 68081005, + 64470878 + ], + [ + 59503113, + 66069108 + ], + [ + 62640051, + 73464293 + ], + [ + 21569609, + 40556982 + ], + [ + 80920667, + 56149642 + ], + [ + 77875920, + 57230272 + ], + [ + 20943727, + 6950260 + ], + [ + 56592423, + 83489578 + ], + [ + 99827691, + 16150500 + ], + [ + 89005479, + 15127974 + ], + [ + 93664024, + 45844459 + ], + [ + 75386196, + 31263989 + ], + [ + 82047746, + 68952516 + ], + [ + 89124408, + 19414995 + ], + [ + 8535918, + 95256109 + ], + [ + 6320801, + 9082029 + ], + [ + 86418295, + 21793856 + ], + [ + 78755837, + 11412675 + ], + [ + 89343470, + 85056306 + ], + [ + 4988134, + 38442449 + ], + [ + 22280206, + 93843386 + ], + [ + 37884517, + 24759233 + ], + [ + 41286387, + 55005691 + ], + [ + 88034001, + 83423207 + ], + [ + 63524490, + 45035901 + ], + [ + 54969737, + 21910419 + ], + [ + 47634617, + 90396499 + ], + [ + 41174961, + 86067095 + ], + [ + 75809209, + 69852520 + ], + [ + 21776757, + 92825405 + ], + [ + 99024381, + 71515278 + ], + [ + 26740372, + 17256892 + ], + [ + 71159150, + 23977752 + ], + [ + 88140433, + 19715900 + ], + [ + 84472911, + 18718455 + ], + [ + 36005949, + 97308165 + ], + [ + 8737842, + 36340729 + ], + [ + 28717563, + 45530942 + ], + [ + 80378058, + 44684027 + ], + [ + 75753977, + 58436951 + ], + [ + 65558900, + 34809769 + ], + [ + 80410516, + 17569895 + ], + [ + 55574514, + 32150363 + ], + [ + 33442532, + 70761151 + ], + [ + 77315028, + 57935835 + ], + [ + 2399162, + 39466430 + ], + [ + 23040445, + 44338882 + ], + [ + 90470689, + 18202146 + ], + [ + 87219026, + 99912843 + ], + [ + 44306901, + 91047625 + ], + [ + 29317506, + 88705459 + ], + [ + 29876496, + 43169274 + ], + [ + 92810922, + 38109120 + ], + [ + 77118136, + 51694836 + ], + [ + 3532492, + 91605974 + ], + [ + 50652391, + 67841362 + ], + [ + 28175801, + 68052437 + ], + [ + 61866213, + 10350723 + ], + [ + 76836735, + 8567456 + ], + [ + 74594170, + 76198151 + ], + [ + 55841337, + 70400741 + ], + [ + 91834300, + 35671147 + ], + [ + 94241223, + 25699301 + ], + [ + 97673220, + 6231350 + ], + [ + 34127040, + 91930857 + ], + [ + 14359366, + 81960412 + ], + [ + 23543313, + 385618 + ], + [ + 21711362, + 20700910 + ], + [ + 41552806, + 13083280 + ], + [ + 39851473, + 31552867 + ], + [ + 74365840, + 74205620 + ], + [ + 85662013, + 37580590 + ], + [ + 57054437, + 66807915 + ], + [ + 11228390, + 60676358 + ], + [ + 45707473, + 49696611 + ], + [ + 45955273, + 40915814 + ], + [ + 62675091, + 26416583 + ], + [ + 75070516, + 14555251 + ], + [ + 94145129, + 48250703 + ], + [ + 68534294, + 55421188 + ], + [ + 48281473, + 1870380 + ], + [ + 94478998, + 10413840 + ], + [ + 1762863, + 62030600 + ], + [ + 22383596, + 2534887 + ], + [ + 43061914, + 97982752 + ], + [ + 80294866, + 67363622 + ], + [ + 96529905, + 71119505 + ], + [ + 54217282, + 73712580 + ], + [ + 41432659, + 73849039 + ], + [ + 15968339, + 26173246 + ], + [ + 75334548, + 99387255 + ], + [ + 31264694, + 57768081 + ], + [ + 99162595, + 18132600 + ], + [ + 85894605, + 70990650 + ], + [ + 35275497, + 26798596 + ], + [ + 41506505, + 79718852 + ], + [ + 86080683, + 80683525 + ], + [ + 4297538, + 26043106 + ], + [ + 65683930, + 25711308 + ], + [ + 48856033, + 71126160 + ], + [ + 15789509, + 1235582 + ], + [ + 60317943, + 287368 + ], + [ + 96772625, + 96136245 + ], + [ + 75915501, + 73185728 + ], + [ + 62778405, + 72842006 + ], + [ + 73276540, + 42278498 + ], + [ + 85091909, + 16993983 + ], + [ + 99421205, + 31019913 + ], + [ + 82094905, + 62416028 + ], + [ + 68026266, + 45985769 + ], + [ + 67847857, + 65812840 + ], + [ + 75342881, + 47026088 + ], + [ + 64159018, + 51010671 + ], + [ + 88937555, + 84379162 + ], + [ + 69667672, + 27252303 + ], + [ + 55618358, + 11295801 + ], + [ + 31934951, + 8702039 + ], + [ + 62106284, + 83945382 + ], + [ + 32305032, + 42739131 + ], + [ + 80848525, + 87764643 + ], + [ + 31573777, + 47771399 + ], + [ + 37534799, + 46607431 + ], + [ + 71980143, + 56431059 + ], + [ + 20507156, + 17946125 + ], + [ + 65391553, + 94662567 + ], + [ + 8016483, + 5163721 + ], + [ + 7834879, + 79395086 + ], + [ + 28352738, + 63788324 + ], + [ + 91648157, + 3671515 + ], + [ + 55632246, + 30630533 + ], + [ + 22461102, + 77092905 + ], + [ + 97110650, + 42803641 + ], + [ + 15412272, + 14375078 + ], + [ + 95923476, + 8552613 + ], + [ + 21093008, + 15957027 + ], + [ + 70072589, + 71175692 + ], + [ + 86216777, + 95438626 + ], + [ + 42525201, + 16043710 + ], + [ + 24450613, + 28750610 + ], + [ + 54278878, + 68679678 + ], + [ + 29689118, + 20579119 + ], + [ + 89360869, + 7433954 + ], + [ + 6635669, + 21091497 + ], + [ + 21023713, + 71538427 + ], + [ + 30106143, + 70011188 + ], + [ + 28302833, + 7765366 + ], + [ + 94504917, + 57253475 + ], + [ + 29896616, + 45919862 + ], + [ + 57266309, + 73619011 + ], + [ + 21222790, + 207687 + ], + [ + 83229692, + 98563585 + ], + [ + 95793168, + 65530455 + ], + [ + 63715584, + 17711514 + ], + [ + 89890312, + 71355412 + ], + [ + 92846281, + 39601886 + ], + [ + 42995014, + 39923665 + ], + [ + 17193779, + 60352647 + ], + [ + 75682823, + 5484644 + ], + [ + 52573342, + 9211868 + ], + [ + 80218408, + 74447730 + ], + [ + 59999870, + 24561145 + ], + [ + 69557432, + 95445217 + ], + [ + 54618428, + 77386116 + ], + [ + 7275262, + 1537279 + ], + [ + 65555902, + 75205378 + ], + [ + 64331050, + 5223711 + ], + [ + 3632721, + 91190594 + ], + [ + 4982072, + 32466430 + ], + [ + 69274958, + 45168778 + ], + [ + 77603274, + 89827553 + ], + [ + 2325959, + 68167972 + ], + [ + 35956990, + 56196141 + ], + [ + 61734526, + 28605805 + ], + [ + 26803511, + 81719075 + ], + [ + 45380736, + 43164376 + ], + [ + 30908271, + 91606216 + ], + [ + 9052345, + 32204233 + ], + [ + 32467742, + 13215460 + ], + [ + 11397697, + 6844355 + ], + [ + 17149550, + 8624718 + ], + [ + 64866787, + 66447453 + ], + [ + 99947077, + 37250317 + ], + [ + 63791080, + 54898178 + ], + [ + 49366707, + 4633506 + ], + [ + 17604890, + 5991384 + ], + [ + 96149700, + 51733235 + ], + [ + 52140146, + 67325368 + ], + [ + 36174633, + 88108173 + ], + [ + 73452646, + 47808759 + ], + [ + 37204355, + 48733426 + ], + [ + 71971213, + 95413197 + ], + [ + 64749601, + 15508605 + ], + [ + 84274915, + 28333597 + ], + [ + 34543053, + 67087138 + ], + [ + 76940937, + 39920251 + ], + [ + 80025189, + 9718966 + ], + [ + 67624472, + 11336180 + ], + [ + 32692636, + 33154603 + ], + [ + 32972631, + 41082626 + ], + [ + 48986950, + 93254055 + ], + [ + 64973883, + 14057940 + ], + [ + 30539066, + 46926025 + ], + [ + 45124667, + 44902980 + ], + [ + 77465863, + 11095985 + ], + [ + 32774075, + 4996717 + ], + [ + 83534912, + 5590799 + ], + [ + 13382937, + 71759891 + ], + [ + 55288723, + 18020544 + ], + [ + 10231453, + 82110359 + ], + [ + 84908889, + 54517749 + ], + [ + 45385404, + 95122060 + ], + [ + 76128807, + 42495885 + ], + [ + 33186411, + 89666882 + ], + [ + 2154291, + 13298579 + ], + [ + 89831400, + 74663194 + ], + [ + 77671072, + 1245657 + ], + [ + 60036413, + 60357919 + ], + [ + 35386979, + 75463074 + ], + [ + 53079261, + 51798540 + ], + [ + 43314109, + 92616084 + ], + [ + 33859321, + 87800577 + ], + [ + 85074207, + 87232174 + ], + [ + 86464973, + 65683110 + ], + [ + 67682913, + 39575986 + ], + [ + 41527845, + 85484898 + ], + [ + 97687801, + 69461490 + ], + [ + 74527351, + 20030789 + ], + [ + 6413121, + 80897801 + ], + [ + 9518867, + 66652129 + ], + [ + 19531834, + 27069554 + ], + [ + 36934473, + 57751285 + ], + [ + 6145170, + 54630871 + ], + [ + 57785410, + 36771256 + ], + [ + 9941073, + 22636565 + ], + [ + 35055354, + 4474502 + ], + [ + 59548207, + 5871563 + ], + [ + 17620225, + 46441244 + ], + [ + 81217055, + 86263565 + ], + [ + 53206984, + 72160561 + ], + [ + 42742156, + 87539193 + ], + [ + 37937674, + 96980652 + ], + [ + 39145060, + 34769885 + ], + [ + 15635074, + 39074496 + ], + [ + 17036097, + 68793502 + ], + [ + 21975015, + 90570707 + ], + [ + 13793879, + 45990384 + ], + [ + 32031326, + 80282821 + ], + [ + 98734629, + 36782589 + ], + [ + 82928345, + 67921787 + ], + [ + 30905422, + 1523849 + ], + [ + 26233296, + 42201996 + ], + [ + 59736763, + 49754751 + ], + [ + 59479485, + 7694233 + ], + [ + 28436114, + 21564305 + ], + [ + 75868707, + 62879293 + ], + [ + 16915626, + 20144733 + ], + [ + 49734835, + 86905827 + ], + [ + 44334893, + 16229588 + ], + [ + 44890834, + 93554915 + ], + [ + 48035991, + 67526580 + ], + [ + 65476297, + 23506390 + ], + [ + 38439256, + 99278948 + ], + [ + 30684791, + 58810887 + ], + [ + 9102186, + 16061201 + ], + [ + 78534296, + 53232429 + ], + [ + 40769747, + 59174532 + ], + [ + 43155410, + 16818774 + ], + [ + 21648141, + 88560088 + ], + [ + 16152094, + 75260512 + ], + [ + 95057494, + 17861084 + ], + [ + 51211068, + 24664075 + ], + [ + 464748, + 43816348 + ], + [ + 2400135, + 74423134 + ], + [ + 77839130, + 73181670 + ], + [ + 47502850, + 33699503 + ], + [ + 88142761, + 48685029 + ], + [ + 87263888, + 8885270 + ], + [ + 66159476, + 73399973 + ], + [ + 66861401, + 33506715 + ], + [ + 49089732, + 52058965 + ], + [ + 36342440, + 25992273 + ], + [ + 21042262, + 48992811 + ], + [ + 11273505, + 22187175 + ], + [ + 52720227, + 78104803 + ], + [ + 41394443, + 17724496 + ], + [ + 57660732, + 11012605 + ], + [ + 39800380, + 4789243 + ], + [ + 76040842, + 62581564 + ], + [ + 73184655, + 11463172 + ], + [ + 35128879, + 37581048 + ], + [ + 99813246, + 26534634 + ], + [ + 53669819, + 21959306 + ], + [ + 66530352, + 67805455 + ], + [ + 2227830, + 15132380 + ], + [ + 36109636, + 81366597 + ], + [ + 38303429, + 4846335 + ], + [ + 77348701, + 28132729 + ], + [ + 46432783, + 16455164 + ], + [ + 32631149, + 95523684 + ], + [ + 40516006, + 24860458 + ], + [ + 6337812, + 11786463 + ], + [ + 51629001, + 99804804 + ], + [ + 87572345, + 6660135 + ], + [ + 50178016, + 8139577 + ], + [ + 34214536, + 49039332 + ], + [ + 14187859, + 79851818 + ], + [ + 65502086, + 64607167 + ], + [ + 35021362, + 15892870 + ], + [ + 55856382, + 37359515 + ], + [ + 10197270, + 47353951 + ], + [ + 27075535, + 10089314 + ], + [ + 43739604, + 17524272 + ], + [ + 97845865, + 84484702 + ], + [ + 82675225, + 90101749 + ], + [ + 22384321, + 27395990 + ], + [ + 685895, + 70724388 + ], + [ + 89206998, + 55176075 + ], + [ + 36188892, + 77799647 + ], + [ + 14775547, + 45364537 + ], + [ + 28249918, + 36677515 + ], + [ + 68581673, + 88220572 + ], + [ + 27676096, + 14125228 + ], + [ + 60435175, + 61601078 + ], + [ + 88538508, + 897239 + ], + [ + 8969918, + 17446275 + ], + [ + 67783921, + 11796598 + ], + [ + 80215761, + 16969832 + ], + [ + 49104663, + 16981519 + ], + [ + 14967319, + 16480250 + ], + [ + 70724365, + 8754431 + ], + [ + 39395374, + 73607810 + ], + [ + 19794366, + 69704692 + ], + [ + 62738784, + 56400710 + ], + [ + 80587040, + 52752600 + ], + [ + 7598127, + 11890040 + ], + [ + 26439909, + 87862191 + ], + [ + 92502114, + 9333048 + ], + [ + 55601082, + 35905045 + ], + [ + 83794952, + 39813319 + ], + [ + 28249189, + 26971068 + ], + [ + 42294928, + 18535469 + ], + [ + 95575162, + 94566778 + ], + [ + 6639507, + 10888429 + ], + [ + 60015497, + 20156251 + ], + [ + 98444111, + 803313 + ], + [ + 8934059, + 47620302 + ], + [ + 14504745, + 43522851 + ], + [ + 5268622, + 78694497 + ], + [ + 26360439, + 89036077 + ], + [ + 23020365, + 76376823 + ], + [ + 3124763, + 60262074 + ], + [ + 62693193, + 72203081 + ], + [ + 60800032, + 16743106 + ], + [ + 22578566, + 28164225 + ], + [ + 86522331, + 38525794 + ], + [ + 39076102, + 40664083 + ], + [ + 54223544, + 78126088 + ], + [ + 19902289, + 3395025 + ], + [ + 67497488, + 14654279 + ], + [ + 71296646, + 51006661 + ], + [ + 56981357, + 43915746 + ], + [ + 32431648, + 85706822 + ], + [ + 9676683, + 350074 + ], + [ + 1275865, + 5323660 + ], + [ + 10833676, + 8972664 + ], + [ + 69664859, + 55979597 + ], + [ + 770188, + 77287484 + ], + [ + 82802396, + 29362815 + ], + [ + 52925285, + 41543047 + ], + [ + 58173736, + 89498415 + ], + [ + 86842522, + 53092454 + ], + [ + 11964986, + 72431252 + ], + [ + 86734373, + 32318602 + ], + [ + 57671815, + 11922180 + ], + [ + 67327773, + 37513321 + ], + [ + 94407612, + 22279489 + ], + [ + 11968884, + 17224770 + ], + [ + 70569575, + 37679217 + ], + [ + 44933159, + 22076205 + ], + [ + 58215364, + 14008215 + ], + [ + 70257328, + 72679284 + ], + [ + 11680422, + 16320744 + ], + [ + 33188452, + 27568194 + ], + [ + 22801744, + 36010977 + ], + [ + 95141922, + 19786317 + ], + [ + 74818469, + 53184948 + ], + [ + 6991, + 94296103 + ], + [ + 6682572, + 23967290 + ], + [ + 47671666, + 42051146 + ], + [ + 28402015, + 71493415 + ], + [ + 38747078, + 81625736 + ], + [ + 33102498, + 49674061 + ], + [ + 92950677, + 56396404 + ], + [ + 5478376, + 71703969 + ], + [ + 4731930, + 18143464 + ], + [ + 97545381, + 16278273 + ], + [ + 13271166, + 5686882 + ], + [ + 75567369, + 38770974 + ], + [ + 84756549, + 60277011 + ], + [ + 39388534, + 84859677 + ], + [ + 44862584, + 2773981 + ], + [ + 48980463, + 55687798 + ], + [ + 35737601, + 32548919 + ], + [ + 23963999, + 99568041 + ], + [ + 30820373, + 18216890 + ], + [ + 92780830, + 79181402 + ], + [ + 76216103, + 5373485 + ], + [ + 30721637, + 26953282 + ], + [ + 46820321, + 52124753 + ], + [ + 1999284, + 41567069 + ], + [ + 9155785, + 86669861 + ], + [ + 38192559, + 32762282 + ], + [ + 96625835, + 36762817 + ], + [ + 12713666, + 5877698 + ], + [ + 76627992, + 67850862 + ], + [ + 39879323, + 65107302 + ], + [ + 67158643, + 67355730 + ], + [ + 28086915, + 91250430 + ], + [ + 94854510, + 31188933 + ], + [ + 92656580, + 49697835 + ], + [ + 26398263, + 54957826 + ], + [ + 11520442, + 43681630 + ], + [ + 25816542, + 15042108 + ], + [ + 47246048, + 59881937 + ], + [ + 4954047, + 48189191 + ], + [ + 8394906, + 43041643 + ], + [ + 95427872, + 74406998 + ], + [ + 7620537, + 55942525 + ], + [ + 1889620, + 67676222 + ], + [ + 76564349, + 31197599 + ], + [ + 34971803, + 46470806 + ], + [ + 16815865, + 43778250 + ], + [ + 26960198, + 20875619 + ], + [ + 81731227, + 36062295 + ], + [ + 90504660, + 73997034 + ], + [ + 70431576, + 17957078 + ], + [ + 50732671, + 60401137 + ], + [ + 6919034, + 64400731 + ], + [ + 87700710, + 76539445 + ], + [ + 91472873, + 20479833 + ], + [ + 27618666, + 86964232 + ], + [ + 92214221, + 60010051 + ], + [ + 33567571, + 98494389 + ], + [ + 1178109, + 37333642 + ], + [ + 72791083, + 74315470 + ], + [ + 55100404, + 20919503 + ], + [ + 79889384, + 42825195 + ], + [ + 53927174, + 27885090 + ], + [ + 90923967, + 42655425 + ], + [ + 88835481, + 36214099 + ], + [ + 25623117, + 30052624 + ], + [ + 80181625, + 52872369 + ], + [ + 16136249, + 85641559 + ], + [ + 74072159, + 23498252 + ], + [ + 21711337, + 95246173 + ], + [ + 76667506, + 53709611 + ], + [ + 700008, + 2321404 + ], + [ + 64857961, + 66692591 + ], + [ + 99298294, + 3603353 + ], + [ + 38671310, + 25590299 + ], + [ + 94819600, + 74995468 + ], + [ + 80453665, + 60724926 + ], + [ + 62691646, + 86988356 + ], + [ + 27625807, + 50895968 + ], + [ + 34276562, + 78381693 + ], + [ + 81937998, + 95266335 + ], + [ + 77940882, + 62193190 + ], + [ + 62329834, + 44310064 + ], + [ + 51653952, + 805786 + ], + [ + 63334343, + 70029066 + ], + [ + 60862509, + 52979611 + ], + [ + 5876399, + 98271954 + ], + [ + 52603083, + 6125632 + ], + [ + 19762575, + 52676248 + ], + [ + 91624381, + 31581104 + ], + [ + 25095948, + 2106519 + ], + [ + 110934, + 75239943 + ], + [ + 69539956, + 33156330 + ], + [ + 38154624, + 74008429 + ], + [ + 40666502, + 89229102 + ], + [ + 85499422, + 55629862 + ], + [ + 3793539, + 23102016 + ], + [ + 49445184, + 73003589 + ], + [ + 24388769, + 92466366 + ], + [ + 58660504, + 53952041 + ], + [ + 83636380, + 42587030 + ], + [ + 3061307, + 91280775 + ], + [ + 73721872, + 11692906 + ], + [ + 49117787, + 53460626 + ], + [ + 54273645, + 73578565 + ], + [ + 82954676, + 83400917 + ], + [ + 95702661, + 19584347 + ], + [ + 88952880, + 36972948 + ], + [ + 70836516, + 8593766 + ], + [ + 17489545, + 41263561 + ], + [ + 5195935, + 49549941 + ], + [ + 49159107, + 82982425 + ], + [ + 66413838, + 865687 + ], + [ + 56552403, + 81043035 + ], + [ + 30564032, + 22669151 + ], + [ + 47103036, + 29143669 + ], + [ + 98498482, + 47429610 + ], + [ + 74077250, + 87247829 + ], + [ + 43696126, + 81640250 + ], + [ + 42487357, + 60033422 + ], + [ + 57744722, + 44963327 + ], + [ + 74720498, + 45745348 + ], + [ + 23072433, + 57246743 + ], + [ + 15791825, + 34658681 + ], + [ + 6048213, + 8832946 + ], + [ + 57593721, + 72343557 + ], + [ + 45515566, + 21078587 + ], + [ + 61172664, + 78707185 + ], + [ + 96337832, + 18461974 + ], + [ + 94907779, + 6193529 + ], + [ + 19871739, + 93006336 + ], + [ + 92634181, + 17376416 + ], + [ + 99530648, + 22128304 + ], + [ + 54181094, + 38591879 + ], + [ + 28393222, + 77340274 + ], + [ + 42361671, + 17076047 + ], + [ + 41417103, + 79777358 + ], + [ + 32095204, + 96800617 + ], + [ + 77090104, + 59048356 + ], + [ + 11042594, + 13337452 + ], + [ + 87061389, + 41769436 + ], + [ + 74599315, + 85459050 + ], + [ + 21892826, + 54909669 + ], + [ + 73056774, + 41306326 + ], + [ + 20843109, + 96238608 + ], + [ + 22275853, + 70607931 + ], + [ + 80883848, + 44840192 + ], + [ + 17724686, + 34780602 + ], + [ + 63321922, + 50622421 + ], + [ + 14295285, + 27451066 + ], + [ + 73179893, + 87206569 + ], + [ + 43171872, + 20686228 + ], + [ + 62789047, + 84157591 + ], + [ + 11629752, + 93005126 + ], + [ + 39270132, + 8326879 + ], + [ + 51544145, + 21585535 + ], + [ + 36171344, + 614346 + ], + [ + 42109837, + 40011631 + ], + [ + 39809644, + 23263313 + ], + [ + 763222, + 16398844 + ], + [ + 3626383, + 93569096 + ], + [ + 21582273, + 60409690 + ], + [ + 28738776, + 9025362 + ], + [ + 48891877, + 87445985 + ], + [ + 17933616, + 23230332 + ], + [ + 65963564, + 17623770 + ], + [ + 16915784, + 13461008 + ], + [ + 85875389, + 36846698 + ], + [ + 7413805, + 93334316 + ], + [ + 90593171, + 91657523 + ], + [ + 49319511, + 72095419 + ], + [ + 67447301, + 25265416 + ], + [ + 41769318, + 40965826 + ], + [ + 33541268, + 40260455 + ], + [ + 44791885, + 60977912 + ], + [ + 77823843, + 71045301 + ], + [ + 8909840, + 78451016 + ], + [ + 7870773, + 66674548 + ], + [ + 16058905, + 17555921 + ], + [ + 94460682, + 10890526 + ], + [ + 73902147, + 61330251 + ], + [ + 65243232, + 1780280 + ], + [ + 65249023, + 89455991 + ], + [ + 10183226, + 12762480 + ], + [ + 65337306, + 33330430 + ], + [ + 24691622, + 93475776 + ], + [ + 78768759, + 27447124 + ], + [ + 13821827, + 9254672 + ], + [ + 84544449, + 37077084 + ], + [ + 67784942, + 46681386 + ], + [ + 46716996, + 42526758 + ], + [ + 887014, + 55355937 + ], + [ + 49601140, + 84835005 + ], + [ + 5620117, + 69011226 + ], + [ + 60688441, + 77777575 + ], + [ + 57306682, + 72866670 + ], + [ + 43181973, + 97763758 + ], + [ + 28158145, + 30875337 + ], + [ + 21438068, + 39069436 + ], + [ + 36635123, + 6716487 + ], + [ + 85584783, + 15322430 + ], + [ + 96894684, + 787639 + ], + [ + 47061917, + 4821568 + ], + [ + 2952198, + 94476912 + ], + [ + 76833344, + 48631274 + ], + [ + 11930688, + 28980045 + ], + [ + 4507941, + 89085790 + ], + [ + 26741351, + 88801211 + ], + [ + 32421340, + 99367808 + ], + [ + 9524653, + 96667 + ], + [ + 52312987, + 27176163 + ], + [ + 89919157, + 11765130 + ], + [ + 24211702, + 25389946 + ], + [ + 48633027, + 374458 + ], + [ + 43751787, + 45629836 + ], + [ + 95597172, + 45569785 + ], + [ + 63812120, + 71844651 + ], + [ + 66942486, + 99360993 + ], + [ + 97134845, + 90348212 + ], + [ + 42241796, + 3072127 + ], + [ + 31262373, + 26474092 + ], + [ + 79536325, + 54909958 + ], + [ + 73849283, + 11939576 + ], + [ + 82211588, + 97394034 + ], + [ + 25230283, + 72537228 + ], + [ + 25026894, + 78958877 + ], + [ + 549438, + 21893672 + ], + [ + 28994802, + 11081625 + ], + [ + 22483036, + 48962979 + ], + [ + 70150568, + 2487484 + ], + [ + 64587718, + 11722331 + ], + [ + 95098171, + 41607139 + ], + [ + 1624615, + 89668622 + ], + [ + 78890926, + 25349913 + ], + [ + 69514657, + 75337270 + ], + [ + 29505571, + 63100125 + ], + [ + 2439793, + 30670151 + ], + [ + 92172793, + 42213922 + ], + [ + 4726737, + 8062136 + ], + [ + 77545617, + 19835180 + ], + [ + 54125894, + 86399229 + ], + [ + 48363419, + 87197617 + ], + [ + 60558872, + 59838121 + ], + [ + 89373581, + 15097802 + ], + [ + 5826744, + 58277464 + ], + [ + 33562387, + 98216183 + ], + [ + 19723605, + 17706739 + ], + [ + 69302831, + 58796239 + ], + [ + 74480774, + 6883907 + ], + [ + 51562775, + 17972163 + ], + [ + 46423039, + 39191348 + ], + [ + 8167662, + 48312915 + ], + [ + 7128478, + 79686021 + ], + [ + 74213997, + 28255611 + ], + [ + 51061100, + 84434987 + ], + [ + 2475761, + 73151948 + ], + [ + 76691465, + 50969677 + ], + [ + 16612305, + 6684111 + ], + [ + 46150246, + 96006109 + ], + [ + 13709666, + 38430746 + ], + [ + 43098414, + 28815691 + ], + [ + 86663554, + 52541561 + ], + [ + 45612380, + 73060069 + ], + [ + 14787848, + 44214472 + ], + [ + 10927114, + 41463108 + ], + [ + 16242746, + 22051213 + ], + [ + 90405773, + 76817824 + ], + [ + 10434927, + 29683369 + ], + [ + 51424937, + 42995433 + ], + [ + 28875326, + 75675512 + ], + [ + 62571476, + 97768226 + ], + [ + 66294117, + 13605306 + ], + [ + 66032273, + 62264684 + ], + [ + 91298434, + 83110287 + ], + [ + 80226838, + 45305691 + ], + [ + 1450560, + 41198658 + ], + [ + 84284083, + 64899323 + ], + [ + 6743248, + 26624808 + ], + [ + 23603289, + 7880047 + ], + [ + 28144301, + 26748737 + ], + [ + 27847059, + 63446268 + ], + [ + 44648408, + 63942215 + ], + [ + 73922022, + 70942922 + ], + [ + 99977241, + 40082833 + ], + [ + 23072916, + 85664525 + ], + [ + 38485174, + 4286045 + ], + [ + 53939042, + 54195937 + ], + [ + 16319231, + 58577184 + ], + [ + 71300563, + 60381682 + ], + [ + 90152341, + 2167678 + ], + [ + 22158312, + 53804096 + ], + [ + 83597845, + 24988859 + ], + [ + 69012953, + 84346979 + ], + [ + 2959539, + 79906287 + ], + [ + 54246172, + 99997760 + ], + [ + 94436745, + 74710753 + ], + [ + 93459777, + 24328127 + ], + [ + 89104008, + 20587929 + ], + [ + 90190776, + 62382990 + ], + [ + 22768741, + 96448745 + ], + [ + 76472059, + 42121822 + ], + [ + 39932100, + 47673799 + ], + [ + 8863387, + 73053207 + ], + [ + 44570766, + 57736218 + ], + [ + 119400, + 57585617 + ], + [ + 62066476, + 26041787 + ], + [ + 63793219, + 84347145 + ], + [ + 13710871, + 99205072 + ], + [ + 45372548, + 39779899 + ], + [ + 52380269, + 51575209 + ], + [ + 55148374, + 22414403 + ], + [ + 52130684, + 29035082 + ], + [ + 14973833, + 25701923 + ], + [ + 67322020, + 83744069 + ], + [ + 69412396, + 27817501 + ], + [ + 89001933, + 17770031 + ], + [ + 76103752, + 36150351 + ], + [ + 80085534, + 37764536 + ], + [ + 48104719, + 49327181 + ], + [ + 84200326, + 913733 + ], + [ + 8821281, + 9351145 + ], + [ + 60515296, + 10897226 + ], + [ + 85224625, + 94619260 + ], + [ + 19829970, + 53532505 + ], + [ + 47831099, + 22865394 + ], + [ + 42731914, + 7332499 + ], + [ + 92925262, + 27846456 + ], + [ + 50649966, + 16438466 + ], + [ + 58653856, + 23710418 + ], + [ + 25844732, + 93132771 + ], + [ + 60112673, + 38295388 + ], + [ + 68359496, + 59962576 + ], + [ + 19390770, + 32453856 + ], + [ + 4806514, + 57328931 + ], + [ + 59313388, + 9983535 + ], + [ + 82610025, + 34725818 + ], + [ + 28433271, + 1377076 + ], + [ + 19782465, + 82372576 + ], + [ + 72835425, + 82404137 + ], + [ + 750941, + 30415924 + ], + [ + 20124469, + 34447758 + ], + [ + 30482848, + 17820354 + ], + [ + 96040338, + 59888726 + ], + [ + 24732815, + 23468557 + ], + [ + 3628362, + 86421354 + ], + [ + 85541339, + 79408210 + ], + [ + 86920539, + 99230781 + ], + [ + 24440678, + 23790228 + ], + [ + 21950397, + 1465511 + ], + [ + 85829301, + 47477877 + ], + [ + 22193671, + 47894183 + ], + [ + 37390640, + 59620365 + ], + [ + 29022216, + 17167675 + ], + [ + 83739221, + 42582566 + ], + [ + 75467432, + 52362681 + ], + [ + 60841141, + 80495711 + ], + [ + 82337001, + 49032709 + ], + [ + 55064783, + 65934928 + ], + [ + 93940485, + 29358677 + ], + [ + 16211499, + 14007514 + ], + [ + 2437958, + 4294006 + ], + [ + 17317228, + 11874228 + ], + [ + 10966063, + 31076837 + ], + [ + 90033748, + 99839433 + ], + [ + 72557420, + 44510638 + ], + [ + 34340496, + 23596267 + ], + [ + 51272376, + 44760791 + ], + [ + 85944547, + 22215559 + ], + [ + 54420054, + 89147503 + ], + [ + 42325781, + 46662394 + ], + [ + 84094826, + 45900199 + ], + [ + 43551201, + 34044932 + ], + [ + 9470669, + 17882050 + ], + [ + 10117308, + 4875297 + ], + [ + 59530686, + 51528842 + ], + [ + 51744199, + 59066886 + ], + [ + 65647044, + 78916567 + ], + [ + 84738623, + 46223396 + ], + [ + 28265784, + 53012948 + ], + [ + 69607033, + 62415741 + ], + [ + 37149192, + 76364135 + ], + [ + 79657012, + 19034296 + ], + [ + 60193139, + 93668890 + ], + [ + 8641908, + 97759939 + ], + [ + 60123189, + 59279854 + ], + [ + 16530938, + 60262129 + ], + [ + 93381037, + 29067654 + ], + [ + 10768458, + 99003190 + ], + [ + 4338071, + 16116436 + ], + [ + 11384640, + 9156942 + ], + [ + 80180570, + 17896635 + ], + [ + 70871129, + 96502140 + ], + [ + 52633787, + 9984309 + ], + [ + 30176143, + 46420480 + ], + [ + 46463391, + 57291255 + ], + [ + 46899801, + 74827642 + ], + [ + 49923199, + 58833112 + ], + [ + 31852577, + 44914416 + ], + [ + 48048543, + 47709409 + ], + [ + 47164181, + 97051457 + ], + [ + 10837166, + 55098385 + ], + [ + 70934995, + 16981418 + ], + [ + 58347764, + 96965408 + ], + [ + 46791850, + 62602531 + ], + [ + 4191923, + 36521407 + ], + [ + 53609732, + 1815603 + ], + [ + 46511381, + 43642312 + ], + [ + 36629969, + 44213274 + ], + [ + 46500306, + 37678899 + ], + [ + 33214189, + 39732955 + ], + [ + 70603269, + 45304152 + ], + [ + 48017025, + 62187257 + ], + [ + 51567388, + 61854142 + ], + [ + 79317084, + 38143306 + ], + [ + 41991784, + 4460339 + ], + [ + 51872679, + 19807254 + ], + [ + 3087680, + 43160374 + ], + [ + 87309349, + 20843911 + ], + [ + 26438724, + 19714268 + ], + [ + 84446781, + 4359208 + ], + [ + 25295051, + 28866833 + ], + [ + 78065243, + 18891005 + ], + [ + 29144727, + 73594681 + ], + [ + 22522711, + 53855073 + ], + [ + 47484349, + 51379456 + ], + [ + 24482785, + 10959680 + ], + [ + 31049670, + 44917673 + ], + [ + 13893206, + 78038512 + ], + [ + 15956422, + 33500703 + ], + [ + 93038006, + 40420120 + ], + [ + 28886383, + 10008802 + ], + [ + 77447391, + 88786320 + ], + [ + 32265339, + 99287062 + ], + [ + 57569912, + 70501557 + ], + [ + 54187193, + 79720451 + ], + [ + 74556407, + 90469613 + ], + [ + 15438574, + 78380939 + ], + [ + 73747058, + 23351866 + ], + [ + 47450983, + 16672156 + ], + [ + 68547808, + 56795137 + ], + [ + 46761721, + 93432146 + ], + [ + 60279092, + 25232539 + ], + [ + 43378198, + 37466421 + ], + [ + 81320101, + 56639552 + ], + [ + 48718888, + 1936909 + ], + [ + 82500555, + 1598984 + ], + [ + 23230335, + 75933737 + ], + [ + 43786263, + 71402582 + ], + [ + 2348744, + 55748514 + ], + [ + 83019912, + 17969447 + ], + [ + 89973510, + 24588142 + ], + [ + 66020133, + 28615144 + ], + [ + 50919517, + 11464412 + ], + [ + 99382330, + 71879506 + ], + [ + 40531682, + 531243 + ], + [ + 91527614, + 85624541 + ], + [ + 37770255, + 99225201 + ], + [ + 70353932, + 26353988 + ], + [ + 32285745, + 62700365 + ], + [ + 48010971, + 77641924 + ], + [ + 57477067, + 29863946 + ], + [ + 32561445, + 98030960 + ], + [ + 93265575, + 38326587 + ], + [ + 69644481, + 80082739 + ], + [ + 9720722, + 10748636 + ], + [ + 9327459, + 37713178 + ], + [ + 13575482, + 59625038 + ], + [ + 16372300, + 92928337 + ], + [ + 60758527, + 44415601 + ], + [ + 49627523, + 51851530 + ], + [ + 86092076, + 82828555 + ], + [ + 16377005, + 73713940 + ], + [ + 69724990, + 10661217 + ], + [ + 60625419, + 625900 + ], + [ + 30359713, + 50751815 + ], + [ + 95062952, + 78778996 + ], + [ + 99110576, + 40657698 + ], + [ + 24614202, + 57140282 + ], + [ + 74159646, + 900358 + ], + [ + 41378565, + 25825917 + ], + [ + 72534817, + 94249340 + ], + [ + 70435366, + 75239606 + ], + [ + 40400492, + 6673597 + ], + [ + 2423490, + 87878589 + ], + [ + 53689561, + 30661591 + ], + [ + 27355778, + 4938595 + ], + [ + 82688161, + 46780363 + ], + [ + 8016896, + 36790178 + ], + [ + 72200519, + 2655670 + ], + [ + 89692306, + 25887459 + ], + [ + 28964497, + 47028311 + ], + [ + 37600557, + 81648947 + ], + [ + 53260233, + 59798541 + ], + [ + 21573432, + 48817542 + ], + [ + 89442783, + 84736105 + ], + [ + 71760837, + 71834631 + ], + [ + 53439709, + 48808637 + ], + [ + 63201254, + 10137438 + ], + [ + 26452337, + 53240568 + ], + [ + 78349453, + 12554149 + ], + [ + 92764242, + 35814108 + ], + [ + 61382283, + 6268773 + ], + [ + 68606619, + 25590205 + ], + [ + 80381040, + 1346829 + ], + [ + 66266922, + 22304578 + ], + [ + 5724838, + 28273374 + ], + [ + 48478644, + 74518488 + ], + [ + 94123700, + 5951125 + ], + [ + 70603076, + 25367095 + ], + [ + 47457764, + 7762564 + ], + [ + 80364176, + 27519352 + ], + [ + 19661898, + 49632537 + ], + [ + 16368484, + 36692143 + ], + [ + 96769703, + 85506904 + ], + [ + 82648700, + 95507784 + ], + [ + 88001469, + 11039647 + ], + [ + 66830931, + 22384660 + ], + [ + 50590365, + 16681961 + ], + [ + 9015995, + 20151064 + ], + [ + 91606432, + 637512 + ], + [ + 52678034, + 49643226 + ], + [ + 88102105, + 19036117 + ], + [ + 19363706, + 67693234 + ], + [ + 8586753, + 65135725 + ], + [ + 99076977, + 8855064 + ], + [ + 21821994, + 2119648 + ], + [ + 40395461, + 3279814 + ], + [ + 35745276, + 55195099 + ], + [ + 6214556, + 36358468 + ], + [ + 72341642, + 81958806 + ], + [ + 86966589, + 93789705 + ], + [ + 57170573, + 28984626 + ], + [ + 52490641, + 7539767 + ], + [ + 1616482, + 35190797 + ], + [ + 23164803, + 92995892 + ], + [ + 30371538, + 56421563 + ], + [ + 47323476, + 91502361 + ], + [ + 6398255, + 14253690 + ], + [ + 13845928, + 63624795 + ], + [ + 77795643, + 73010345 + ], + [ + 58256086, + 21574797 + ], + [ + 52215838, + 53129856 + ], + [ + 73868255, + 38010717 + ], + [ + 56618237, + 6457663 + ], + [ + 46647200, + 43939202 + ], + [ + 53338653, + 21313732 + ], + [ + 19716877, + 30162578 + ], + [ + 31592269, + 9916339 + ], + [ + 53399559, + 1868718 + ], + [ + 23087649, + 70274420 + ], + [ + 74991122, + 9906112 + ], + [ + 57141726, + 49293449 + ], + [ + 28241435, + 12441664 + ], + [ + 13229323, + 78900097 + ], + [ + 90443951, + 95517995 + ], + [ + 54285397, + 66064356 + ], + [ + 66188214, + 97321942 + ], + [ + 79664516, + 10262624 + ], + [ + 14126355, + 47646318 + ], + [ + 8026210, + 43642709 + ], + [ + 9445063, + 54425888 + ], + [ + 94171770, + 75828950 + ], + [ + 81507210, + 375487 + ], + [ + 8852675, + 7051389 + ], + [ + 88413660, + 50242935 + ], + [ + 13091131, + 29411016 + ], + [ + 11033760, + 21631787 + ], + [ + 86786648, + 32578880 + ], + [ + 66456503, + 24687932 + ], + [ + 37016942, + 25654466 + ], + [ + 49230892, + 44525351 + ], + [ + 99939646, + 50378182 + ], + [ + 24773148, + 88824729 + ], + [ + 37507464, + 9573598 + ], + [ + 43372384, + 6267976 + ], + [ + 25591625, + 51263193 + ], + [ + 29981991, + 76231416 + ], + [ + 43897733, + 93506098 + ], + [ + 71024542, + 97422146 + ], + [ + 52395260, + 40107315 + ], + [ + 64233613, + 93371990 + ], + [ + 9930095, + 1003393 + ], + [ + 46287273, + 4167584 + ], + [ + 66075849, + 76548655 + ], + [ + 49109939, + 96331854 + ], + [ + 716553, + 38215739 + ], + [ + 41476103, + 85621760 + ], + [ + 85576007, + 71343827 + ], + [ + 53579962, + 3185655 + ], + [ + 31187376, + 78276324 + ], + [ + 17769470, + 21334729 + ], + [ + 11300103, + 93777832 + ], + [ + 47131396, + 34062168 + ], + [ + 85710618, + 24262577 + ], + [ + 70527059, + 87428336 + ], + [ + 46551611, + 29366187 + ], + [ + 71939864, + 56274097 + ], + [ + 31794017, + 88655713 + ], + [ + 89059675, + 50222824 + ], + [ + 5088221, + 8754933 + ], + [ + 63916300, + 99112547 + ], + [ + 56471939, + 80862818 + ], + [ + 42720669, + 68728586 + ], + [ + 50575729, + 69639456 + ], + [ + 68274964, + 27445673 + ], + [ + 88771995, + 77015959 + ], + [ + 15212645, + 44763200 + ], + [ + 85769370, + 51864306 + ], + [ + 42958635, + 40813452 + ], + [ + 82248227, + 74640075 + ], + [ + 42555780, + 71219645 + ], + [ + 30770781, + 12300356 + ], + [ + 95574847, + 33719130 + ], + [ + 15912265, + 74590082 + ], + [ + 15416366, + 5740073 + ], + [ + 18675708, + 14475389 + ], + [ + 58914542, + 59033751 + ], + [ + 20733280, + 63554146 + ], + [ + 88210343, + 15235620 + ], + [ + 84677225, + 69903793 + ], + [ + 74347047, + 45123122 + ], + [ + 11758327, + 96563712 + ], + [ + 52815333, + 73647829 + ], + [ + 72150763, + 43603334 + ], + [ + 67473584, + 89525647 + ], + [ + 75035219, + 24579585 + ], + [ + 54473383, + 2074639 + ], + [ + 64276412, + 18492346 + ], + [ + 73291715, + 54856069 + ], + [ + 95494278, + 88097625 + ], + [ + 78994692, + 8892864 + ], + [ + 36245366, + 11288680 + ], + [ + 57373672, + 43115091 + ], + [ + 52739828, + 44682392 + ], + [ + 67961329, + 73783269 + ], + [ + 66934873, + 50490580 + ], + [ + 97897240, + 84131262 + ], + [ + 71827531, + 21805446 + ], + [ + 60963106, + 24606537 + ], + [ + 56619724, + 9514657 + ], + [ + 8093147, + 84523624 + ], + [ + 80863679, + 28191323 + ], + [ + 59422604, + 57999952 + ], + [ + 80341264, + 23257221 + ], + [ + 46172648, + 83704884 + ], + [ + 40947527, + 51282585 + ], + [ + 71754862, + 24165313 + ], + [ + 42385509, + 82133847 + ], + [ + 55138808, + 5595244 + ], + [ + 74401648, + 43745125 + ], + [ + 80567118, + 96621691 + ], + [ + 27150789, + 51449962 + ], + [ + 91478987, + 65712072 + ], + [ + 33383780, + 97956137 + ], + [ + 6735025, + 39940751 + ], + [ + 23527038, + 36300777 + ], + [ + 79016596, + 94605394 + ], + [ + 33788984, + 71924685 + ], + [ + 47597918, + 94685173 + ], + [ + 47557237, + 59695603 + ], + [ + 95026618, + 73247052 + ], + [ + 63029300, + 53501200 + ], + [ + 71141422, + 15988213 + ], + [ + 15720452, + 52956753 + ], + [ + 52935370, + 89499400 + ], + [ + 63693156, + 21363666 + ], + [ + 80658353, + 60154896 + ], + [ + 83412017, + 18051691 + ], + [ + 96776503, + 33543568 + ], + [ + 5294201, + 55177270 + ], + [ + 86898656, + 9708006 + ], + [ + 10016488, + 14655424 + ], + [ + 73933194, + 59960869 + ], + [ + 4247812, + 34076932 + ], + [ + 62216092, + 60838397 + ], + [ + 91559830, + 15612316 + ], + [ + 28187788, + 15277130 + ], + [ + 10211182, + 31508793 + ], + [ + 51638701, + 97115496 + ], + [ + 7618296, + 49024703 + ], + [ + 41328155, + 93094125 + ], + [ + 54337434, + 25837371 + ], + [ + 68274807, + 4971845 + ], + [ + 95654279, + 75607817 + ], + [ + 38719970, + 70558469 + ], + [ + 36544644, + 23545390 + ], + [ + 41459059, + 53396918 + ], + [ + 5700380, + 34975994 + ], + [ + 8574009, + 26984218 + ], + [ + 92771688, + 80819279 + ], + [ + 64225077, + 40752892 + ], + [ + 57290238, + 41121013 + ], + [ + 52267139, + 37685608 + ], + [ + 20986111, + 56384821 + ], + [ + 14651217, + 96383345 + ], + [ + 22124102, + 45465814 + ], + [ + 99415730, + 12375518 + ], + [ + 56397143, + 63142074 + ], + [ + 57760497, + 61888130 + ], + [ + 47198635, + 72442433 + ], + [ + 50765042, + 6672087 + ], + [ + 22393785, + 28533801 + ], + [ + 81859074, + 96900151 + ], + [ + 85699267, + 77385679 + ], + [ + 91817813, + 51382783 + ], + [ + 29263195, + 80980677 + ], + [ + 33914969, + 86134261 + ], + [ + 97733808, + 9916612 + ], + [ + 89035637, + 96923454 + ], + [ + 63633734, + 84191294 + ], + [ + 77742169, + 51885783 + ], + [ + 68489056, + 9318619 + ], + [ + 42900440, + 6643743 + ], + [ + 98655372, + 83209609 + ], + [ + 17446322, + 7494752 + ], + [ + 1188690, + 78504632 + ], + [ + 82676360, + 39730834 + ], + [ + 75194855, + 33821874 + ], + [ + 90176658, + 24034160 + ], + [ + 30847387, + 32644593 + ], + [ + 7551794, + 84154676 + ], + [ + 45369525, + 91516305 + ], + [ + 90817949, + 25323906 + ], + [ + 97376743, + 25932539 + ], + [ + 56062195, + 45362501 + ], + [ + 71348173, + 39310141 + ], + [ + 45769140, + 50143895 + ], + [ + 89812133, + 59576075 + ], + [ + 77021706, + 49173466 + ], + [ + 45021709, + 69560977 + ], + [ + 73525662, + 57346382 + ], + [ + 95091780, + 37746534 + ], + [ + 84568187, + 83645677 + ], + [ + 31905629, + 66573852 + ], + [ + 84801015, + 76208052 + ], + [ + 40245093, + 46270798 + ], + [ + 51264504, + 13783955 + ], + [ + 48533384, + 66713996 + ], + [ + 74395516, + 43649814 + ], + [ + 83193337, + 58001382 + ], + [ + 53964801, + 59933566 + ], + [ + 36649902, + 79442935 + ], + [ + 5807002, + 42825313 + ], + [ + 51812851, + 5781135 + ], + [ + 98988264, + 95848674 + ], + [ + 82653730, + 84366102 + ], + [ + 34545275, + 2266491 + ], + [ + 47791552, + 72975095 + ], + [ + 81362498, + 96480872 + ], + [ + 82951102, + 76729895 + ], + [ + 15186082, + 11344804 + ], + [ + 15479013, + 26274406 + ], + [ + 75418385, + 59447219 + ], + [ + 22525094, + 30567567 + ], + [ + 9943809, + 752707 + ], + [ + 5142307, + 41150532 + ], + [ + 37433891, + 43034033 + ], + [ + 37735026, + 94033746 + ], + [ + 8289399, + 98501013 + ], + [ + 89809614, + 16036292 + ], + [ + 44931375, + 15143138 + ], + [ + 75383266, + 45264073 + ], + [ + 59363139, + 47232523 + ], + [ + 94821460, + 74715121 + ], + [ + 91638245, + 28183638 + ], + [ + 37827065, + 55193494 + ], + [ + 12054426, + 80463296 + ], + [ + 73538430, + 78946378 + ], + [ + 8137966, + 15251086 + ], + [ + 19295768, + 50172779 + ], + [ + 71869873, + 55823726 + ], + [ + 76400100, + 31023111 + ], + [ + 50453800, + 67168369 + ], + [ + 39609336, + 16666649 + ], + [ + 33172760, + 43167903 + ], + [ + 61024224, + 15861126 + ], + [ + 46933530, + 90342933 + ], + [ + 39344931, + 34674574 + ], + [ + 68509627, + 39800921 + ], + [ + 89523497, + 29037559 + ], + [ + 68578242, + 91210289 + ], + [ + 82422959, + 28787398 + ], + [ + 58722602, + 64084549 + ], + [ + 71011780, + 16723795 + ], + [ + 86355260, + 23299506 + ], + [ + 93618069, + 18251524 + ], + [ + 81748648, + 99196610 + ], + [ + 69326944, + 23898054 + ], + [ + 180413, + 35912504 + ], + [ + 43089869, + 80748414 + ], + [ + 78301590, + 44858784 + ], + [ + 69584875, + 7703765 + ], + [ + 80625356, + 57889664 + ], + [ + 70055590, + 51233399 + ], + [ + 9516656, + 95102097 + ], + [ + 39158547, + 18686778 + ], + [ + 49803171, + 2458860 + ], + [ + 51624745, + 53724369 + ], + [ + 83608894, + 89961718 + ], + [ + 63370568, + 94520418 + ], + [ + 6484999, + 58476607 + ], + [ + 49398971, + 3715210 + ], + [ + 43456248, + 16178523 + ], + [ + 80597480, + 8989665 + ], + [ + 32695582, + 14248429 + ], + [ + 95487056, + 88641598 + ], + [ + 81616213, + 53101288 + ], + [ + 14011261, + 88301012 + ], + [ + 60927503, + 20544366 + ], + [ + 65141776, + 46537677 + ], + [ + 39401270, + 92102864 + ], + [ + 45443342, + 4414767 + ], + [ + 61084139, + 94297132 + ], + [ + 60505638, + 68569400 + ], + [ + 51350084, + 77474963 + ], + [ + 45480013, + 24960439 + ], + [ + 25791073, + 73229881 + ], + [ + 35528767, + 60725608 + ], + [ + 82753820, + 42489695 + ], + [ + 97291982, + 6186151 + ], + [ + 40288562, + 36638967 + ], + [ + 96458344, + 53661121 + ], + [ + 1543561, + 32172439 + ], + [ + 29199817, + 49600836 + ], + [ + 87645232, + 68798124 + ], + [ + 18705585, + 93266861 + ], + [ + 71269809, + 49809912 + ], + [ + 72253315, + 26575353 + ], + [ + 72057791, + 90167572 + ], + [ + 63570078, + 28802664 + ], + [ + 21986242, + 19084977 + ], + [ + 75006240, + 82057368 + ], + [ + 4226317, + 30489227 + ], + [ + 93853500, + 95121474 + ], + [ + 37401003, + 38314801 + ], + [ + 80114722, + 99901163 + ], + [ + 81121365, + 32529811 + ], + [ + 80062937, + 91951884 + ], + [ + 65745660, + 85547452 + ], + [ + 64775346, + 42473440 + ], + [ + 85782764, + 62085556 + ], + [ + 73983850, + 96275522 + ], + [ + 17571307, + 98154094 + ], + [ + 53253319, + 64815660 + ], + [ + 18059182, + 86926937 + ], + [ + 59164323, + 23190438 + ], + [ + 47891588, + 94339525 + ], + [ + 27509244, + 19759874 + ], + [ + 20449407, + 4273473 + ], + [ + 46511322, + 94095854 + ], + [ + 83364588, + 98585750 + ], + [ + 94083779, + 84148994 + ], + [ + 60333086, + 63294771 + ], + [ + 41471317, + 64624565 + ], + [ + 90373215, + 2613819 + ], + [ + 25570961, + 36991644 + ], + [ + 12144688, + 36616265 + ], + [ + 86101078, + 61885807 + ], + [ + 92474203, + 40570373 + ], + [ + 27212638, + 89496195 + ], + [ + 87761893, + 82142195 + ], + [ + 79723668, + 18937606 + ], + [ + 88914001, + 95989054 + ], + [ + 94101136, + 76821012 + ], + [ + 57271070, + 50947656 + ], + [ + 57843491, + 23243748 + ], + [ + 50688328, + 19592748 + ], + [ + 77713292, + 32315888 + ], + [ + 19742719, + 92796059 + ], + [ + 22039466, + 32074000 + ], + [ + 4861521, + 99271551 + ], + [ + 88984033, + 37758195 + ], + [ + 99112514, + 63433873 + ], + [ + 40346951, + 2041176 + ], + [ + 10752678, + 99469570 + ], + [ + 37145339, + 61939408 + ], + [ + 76088547, + 89849736 + ], + [ + 50328960, + 21003711 + ], + [ + 36252568, + 23481302 + ], + [ + 9455878, + 52340233 + ], + [ + 38939346, + 69174110 + ], + [ + 46835634, + 23013690 + ], + [ + 43859856, + 27812650 + ], + [ + 8532877, + 8766508 + ], + [ + 27574119, + 24642961 + ], + [ + 96690432, + 91821137 + ], + [ + 64167330, + 64504289 + ], + [ + 18498584, + 48759476 + ], + [ + 57660230, + 52865329 + ], + [ + 36910233, + 77972492 + ], + [ + 26919301, + 30389827 + ], + [ + 43372318, + 14352922 + ], + [ + 6161904, + 98791128 + ], + [ + 73242097, + 78346642 + ], + [ + 39261126, + 99414845 + ], + [ + 36541882, + 34645221 + ], + [ + 14125107, + 38611435 + ], + [ + 70019446, + 15856204 + ], + [ + 46438869, + 74349635 + ], + [ + 68763619, + 93313470 + ], + [ + 53026939, + 69211642 + ], + [ + 40004414, + 57096085 + ], + [ + 77021350, + 77632782 + ], + [ + 65500750, + 6272332 + ], + [ + 7077888, + 31611703 + ], + [ + 71083637, + 43421424 + ], + [ + 37556284, + 82215653 + ], + [ + 41116824, + 26362005 + ], + [ + 30709554, + 55535721 + ], + [ + 13486921, + 44198766 + ], + [ + 28626950, + 58857864 + ], + [ + 60712336, + 74104383 + ], + [ + 86211825, + 36304217 + ], + [ + 98722354, + 22556367 + ], + [ + 83332625, + 97840380 + ], + [ + 3501891, + 96731105 + ], + [ + 2311911, + 61979224 + ], + [ + 95071305, + 85742247 + ], + [ + 66365167, + 40794885 + ], + [ + 30706870, + 54556147 + ], + [ + 69418906, + 30088537 + ], + [ + 29136999, + 67981459 + ], + [ + 44097322, + 68585685 + ], + [ + 21114787, + 79329393 + ], + [ + 43247011, + 10403878 + ], + [ + 7503838, + 20839216 + ], + [ + 36565438, + 42939321 + ], + [ + 33917506, + 94166835 + ], + [ + 45164870, + 62068351 + ], + [ + 28041527, + 25328590 + ], + [ + 59930970, + 40553651 + ], + [ + 41442150, + 83176058 + ], + [ + 35839310, + 87797223 + ], + [ + 83412311, + 63460016 + ], + [ + 32553310, + 53509624 + ], + [ + 52680661, + 54682387 + ], + [ + 35308718, + 72532900 + ], + [ + 35252716, + 93970875 + ], + [ + 39132255, + 31528288 + ], + [ + 58365935, + 56094091 + ], + [ + 35604880, + 69616931 + ], + [ + 39790592, + 27338502 + ], + [ + 42293174, + 29927501 + ], + [ + 41367797, + 99365033 + ], + [ + 75582852, + 57880574 + ], + [ + 93970700, + 92495114 + ], + [ + 13434622, + 90216092 + ], + [ + 66829690, + 17299394 + ], + [ + 95714854, + 78220922 + ], + [ + 53048517, + 53907003 + ], + [ + 84090273, + 42226178 + ], + [ + 38459738, + 88948746 + ], + [ + 29679892, + 49674438 + ], + [ + 46592537, + 1929656 + ], + [ + 13895727, + 29396557 + ], + [ + 36358713, + 54235681 + ], + [ + 12841323, + 52869888 + ], + [ + 27333419, + 50697056 + ], + [ + 8442527, + 6877759 + ], + [ + 50637644, + 58163667 + ], + [ + 34611328, + 83159209 + ], + [ + 7749245, + 83234090 + ], + [ + 92760006, + 66528861 + ], + [ + 96976130, + 83223980 + ], + [ + 74490037, + 3086150 + ], + [ + 2284998, + 93969585 + ], + [ + 81319752, + 96831976 + ], + [ + 17442051, + 81756972 + ], + [ + 18573468, + 75509787 + ], + [ + 15980873, + 22960273 + ], + [ + 70329499, + 16807676 + ], + [ + 96032974, + 18743887 + ], + [ + 56478906, + 45028774 + ], + [ + 80971479, + 92114168 + ], + [ + 5170465, + 99430906 + ], + [ + 33245449, + 50583258 + ], + [ + 69633865, + 70874577 + ], + [ + 68982224, + 6878108 + ], + [ + 77628057, + 69202007 + ], + [ + 50996161, + 7792695 + ], + [ + 89234521, + 57863261 + ], + [ + 23562396, + 24806827 + ], + [ + 23237950, + 62609454 + ], + [ + 89925250, + 28474774 + ], + [ + 65682507, + 95977143 + ], + [ + 99003261, + 27385751 + ], + [ + 90578794, + 39960033 + ], + [ + 13501652, + 73473386 + ], + [ + 86690832, + 35744194 + ], + [ + 91035421, + 53264251 + ], + [ + 28675537, + 11341248 + ], + [ + 10747420, + 96210135 + ], + [ + 31801876, + 27891525 + ], + [ + 11538248, + 82742720 + ], + [ + 14688600, + 36177288 + ], + [ + 73919731, + 43902252 + ], + [ + 81369711, + 58036564 + ], + [ + 68517182, + 22973163 + ], + [ + 50951657, + 15075240 + ], + [ + 80166169, + 53842741 + ], + [ + 24287139, + 3159245 + ], + [ + 96651089, + 44346841 + ], + [ + 83118386, + 98491582 + ], + [ + 8065808, + 86009618 + ], + [ + 2905536, + 22099272 + ], + [ + 15256907, + 19648239 + ], + [ + 52541733, + 74508523 + ], + [ + 62324360, + 16058355 + ], + [ + 39014223, + 28223429 + ], + [ + 88933639, + 90684340 + ], + [ + 74740284, + 69768102 + ], + [ + 78910811, + 92779541 + ], + [ + 83844088, + 63604836 + ], + [ + 22044816, + 57292607 + ], + [ + 98652129, + 26601312 + ], + [ + 30020133, + 1920105 + ], + [ + 89529892, + 76278763 + ], + [ + 41673106, + 37855478 + ], + [ + 91468517, + 49151086 + ], + [ + 51649004, + 23854519 + ], + [ + 99614532, + 10274089 + ], + [ + 43270500, + 13261516 + ], + [ + 77080269, + 45607660 + ], + [ + 52187334, + 72496745 + ], + [ + 38766270, + 67224106 + ], + [ + 3206660, + 50712896 + ], + [ + 67286054, + 23006904 + ], + [ + 17482203, + 44265192 + ], + [ + 60015647, + 14738922 + ], + [ + 74401588, + 40376698 + ], + [ + 72492383, + 50655490 + ], + [ + 89572073, + 69402965 + ], + [ + 18712613, + 77880404 + ], + [ + 50033237, + 33486466 + ], + [ + 81447106, + 84869556 + ], + [ + 28790929, + 95068284 + ], + [ + 3990260, + 38405115 + ], + [ + 13185803, + 9672752 + ], + [ + 23279234, + 43932777 + ], + [ + 96551207, + 81065503 + ], + [ + 96707289, + 53317999 + ], + [ + 21096629, + 79426178 + ], + [ + 78612440, + 67318168 + ], + [ + 74846151, + 68710617 + ], + [ + 56800765, + 24695874 + ], + [ + 28834865, + 39234352 + ], + [ + 97547847, + 78482132 + ], + [ + 14439991, + 10208105 + ], + [ + 39516420, + 65574666 + ], + [ + 88076136, + 18021413 + ], + [ + 737316, + 89553644 + ], + [ + 15020380, + 14206872 + ], + [ + 20176359, + 66377611 + ], + [ + 14755369, + 48042670 + ], + [ + 60772883, + 1188560 + ], + [ + 94811373, + 89934892 + ], + [ + 60787406, + 71650384 + ], + [ + 27963880, + 62548725 + ], + [ + 94263986, + 68745016 + ], + [ + 72160657, + 83698299 + ], + [ + 34260477, + 19207479 + ], + [ + 707546, + 85167091 + ], + [ + 19034697, + 12675105 + ], + [ + 3520475, + 38998122 + ], + [ + 12352958, + 2875053 + ], + [ + 10309498, + 20786990 + ], + [ + 22748197, + 15489190 + ], + [ + 13447991, + 24305439 + ], + [ + 28940646, + 3755218 + ], + [ + 19915630, + 55523747 + ], + [ + 83534285, + 84028634 + ], + [ + 4261123, + 31199142 + ], + [ + 24202442, + 24584881 + ], + [ + 86578008, + 91604358 + ], + [ + 3824337, + 32366656 + ], + [ + 94843300, + 76528968 + ], + [ + 31984405, + 83771508 + ], + [ + 63006591, + 83834959 + ], + [ + 65559214, + 16644877 + ], + [ + 33366, + 41054964 + ], + [ + 62580955, + 97352272 + ], + [ + 69964103, + 95557901 + ], + [ + 31882203, + 31010587 + ], + [ + 12523247, + 1872809 + ], + [ + 35694070, + 34368818 + ], + [ + 79663863, + 21479965 + ], + [ + 23061698, + 97642393 + ], + [ + 5604240, + 92694348 + ], + [ + 58674123, + 72971455 + ], + [ + 94069843, + 29833528 + ], + [ + 78673461, + 99891186 + ], + [ + 56096281, + 80422598 + ], + [ + 57693147, + 61867176 + ], + [ + 89832488, + 9525319 + ], + [ + 32550703, + 94799261 + ], + [ + 28138970, + 31571225 + ], + [ + 45568869, + 91538911 + ], + [ + 74364232, + 43183753 + ], + [ + 74936457, + 11841774 + ], + [ + 87837819, + 56734049 + ], + [ + 96596933, + 97887912 + ], + [ + 96308767, + 13070961 + ], + [ + 15150900, + 69847909 + ], + [ + 6907933, + 32339265 + ], + [ + 15128556, + 45638365 + ], + [ + 14784673, + 81831075 + ], + [ + 56446026, + 97661361 + ], + [ + 61820611, + 90686284 + ], + [ + 22455521, + 49495754 + ], + [ + 7669370, + 97642657 + ], + [ + 61732135, + 3015320 + ], + [ + 12721250, + 58658583 + ], + [ + 18112724, + 56259693 + ], + [ + 76260256, + 76965043 + ], + [ + 81077718, + 94172025 + ], + [ + 45688616, + 52303553 + ], + [ + 52408999, + 98528172 + ], + [ + 51340844, + 94925070 + ], + [ + 70337839, + 58096253 + ], + [ + 51210495, + 56693655 + ], + [ + 80225731, + 32568716 + ], + [ + 85789818, + 48133197 + ], + [ + 29847402, + 95283174 + ], + [ + 44369110, + 41730963 + ], + [ + 31578965, + 84071302 + ], + [ + 30656303, + 17152505 + ], + [ + 26001075, + 55642291 + ], + [ + 21695138, + 88332294 + ], + [ + 17179681, + 60578452 + ], + [ + 59857520, + 31726779 + ], + [ + 61921120, + 23551698 + ], + [ + 50494949, + 96754441 + ], + [ + 81961463, + 84237837 + ], + [ + 19240708, + 64815647 + ], + [ + 44233683, + 95666030 + ], + [ + 16701588, + 73315143 + ], + [ + 83495060, + 44404844 + ], + [ + 46275429, + 63926154 + ], + [ + 35207371, + 52243569 + ], + [ + 58868899, + 63033440 + ], + [ + 52644917, + 59560770 + ], + [ + 3963151, + 37026819 + ], + [ + 18803162, + 71726758 + ], + [ + 83141654, + 78951532 + ], + [ + 39647247, + 39544950 + ], + [ + 79326310, + 58998738 + ], + [ + 16893574, + 38195241 + ], + [ + 27139524, + 12380216 + ], + [ + 26707496, + 94134203 + ], + [ + 98523539, + 64296387 + ], + [ + 94313532, + 37202048 + ], + [ + 99494821, + 35211222 + ], + [ + 93271053, + 78999101 + ], + [ + 64441853, + 15124382 + ], + [ + 40214105, + 36922001 + ], + [ + 25981399, + 32419549 + ], + [ + 15125092, + 89986052 + ], + [ + 41261764, + 66383658 + ], + [ + 90640481, + 37856686 + ], + [ + 95554974, + 29394559 + ], + [ + 68699470, + 5321792 + ], + [ + 78962097, + 27077187 + ], + [ + 34538651, + 16772976 + ], + [ + 71477019, + 72485060 + ], + [ + 93680121, + 3853446 + ], + [ + 26112101, + 90139837 + ], + [ + 15103732, + 96604396 + ], + [ + 4023420, + 70594443 + ], + [ + 11205121, + 33276938 + ], + [ + 36654755, + 6205345 + ], + [ + 34734161, + 18105032 + ], + [ + 99960352, + 42010131 + ], + [ + 6895846, + 85257091 + ], + [ + 15416622, + 12937763 + ], + [ + 75218858, + 1735853 + ], + [ + 59532258, + 41080258 + ], + [ + 35221285, + 16454806 + ], + [ + 77901210, + 6892165 + ], + [ + 40542999, + 97481391 + ], + [ + 337471, + 78648080 + ], + [ + 458184, + 29031880 + ], + [ + 47814025, + 71367826 + ], + [ + 99801904, + 38807783 + ], + [ + 17913877, + 91034720 + ], + [ + 56047471, + 32084469 + ], + [ + 71957834, + 5339203 + ], + [ + 84082450, + 50233177 + ], + [ + 76623583, + 24377641 + ], + [ + 81829500, + 59554931 + ], + [ + 85032749, + 10645294 + ], + [ + 18071601, + 52435656 + ], + [ + 62005794, + 14183575 + ], + [ + 8677602, + 63853928 + ], + [ + 85683890, + 34043131 + ], + [ + 40312072, + 91911721 + ], + [ + 50970708, + 22859506 + ], + [ + 55616153, + 20637917 + ], + [ + 20617437, + 91551898 + ], + [ + 24633593, + 60167175 + ], + [ + 47080759, + 33363788 + ], + [ + 14146373, + 54079970 + ], + [ + 89273366, + 65983734 + ], + [ + 40412444, + 51608676 + ], + [ + 47669979, + 49269066 + ], + [ + 30339115, + 32707049 + ], + [ + 33073079, + 58080592 + ], + [ + 90300073, + 67124681 + ], + [ + 77408245, + 7141883 + ], + [ + 58211621, + 39127638 + ], + [ + 41577732, + 7311775 + ], + [ + 70068611, + 4363320 + ], + [ + 66418448, + 27810272 + ], + [ + 25960440, + 92463512 + ], + [ + 18831095, + 43225871 + ], + [ + 71523697, + 94322626 + ], + [ + 8528028, + 81099959 + ], + [ + 21944649, + 89094690 + ], + [ + 14800865, + 78383048 + ], + [ + 45650486, + 71360487 + ], + [ + 99962071, + 79289626 + ], + [ + 22414761, + 13737274 + ], + [ + 24558214, + 7996984 + ], + [ + 60976653, + 12087121 + ], + [ + 2370381, + 52359003 + ], + [ + 73364088, + 99322611 + ], + [ + 99197236, + 20690046 + ], + [ + 70925023, + 16989667 + ], + [ + 25294189, + 60645563 + ], + [ + 21577505, + 85788507 + ], + [ + 32100724, + 6039316 + ], + [ + 51813596, + 41849557 + ], + [ + 33694486, + 46408949 + ], + [ + 15793687, + 2727122 + ], + [ + 36929991, + 55231076 + ], + [ + 79757499, + 6000349 + ], + [ + 55185786, + 33327196 + ], + [ + 99059152, + 30462313 + ], + [ + 87108770, + 91149495 + ], + [ + 64553284, + 62982219 + ], + [ + 9240426, + 18564135 + ], + [ + 12694124, + 57507722 + ], + [ + 92631187, + 3904372 + ], + [ + 50249679, + 68973765 + ], + [ + 32549837, + 31083822 + ], + [ + 25404803, + 60654881 + ], + [ + 61320207, + 41622433 + ], + [ + 89785905, + 44370669 + ], + [ + 54686733, + 11075154 + ], + [ + 43951878, + 12497275 + ], + [ + 76782774, + 9075020 + ], + [ + 55162802, + 91005031 + ], + [ + 31148967, + 39195339 + ], + [ + 7079203, + 93895951 + ], + [ + 19587598, + 29379456 + ], + [ + 17948116, + 51924997 + ], + [ + 96046471, + 86888596 + ], + [ + 79944301, + 85050295 + ], + [ + 88299557, + 91991574 + ], + [ + 47741984, + 28184917 + ], + [ + 55195117, + 38721943 + ], + [ + 24453026, + 38820305 + ], + [ + 69862558, + 51151882 + ], + [ + 74537422, + 88971985 + ], + [ + 80014552, + 20325153 + ], + [ + 98196874, + 82956954 + ], + [ + 25565114, + 7363829 + ], + [ + 6249233, + 98300424 + ], + [ + 32844059, + 57440949 + ], + [ + 60645577, + 8066606 + ], + [ + 13496632, + 82742962 + ], + [ + 40455021, + 63440196 + ], + [ + 49746899, + 75616289 + ], + [ + 96920235, + 97088207 + ], + [ + 61867936, + 19766293 + ], + [ + 27201818, + 75849399 + ], + [ + 33368702, + 15070185 + ], + [ + 92316609, + 36415635 + ], + [ + 83816948, + 14852232 + ], + [ + 15933806, + 16952478 + ], + [ + 29961194, + 85720763 + ], + [ + 41621788, + 35919416 + ], + [ + 57330727, + 74168005 + ], + [ + 9713011, + 50657199 + ], + [ + 62221149, + 18784855 + ], + [ + 88658849, + 41528658 + ], + [ + 1709624, + 13330782 + ], + [ + 55408597, + 35628308 + ], + [ + 48242199, + 63508904 + ], + [ + 22564552, + 58685512 + ], + [ + 93166796, + 7583746 + ], + [ + 11271793, + 37806962 + ], + [ + 42453715, + 57926799 + ], + [ + 71534904, + 18758901 + ], + [ + 18604115, + 21915558 + ], + [ + 19668773, + 89414015 + ], + [ + 63918629, + 51108030 + ], + [ + 38394374, + 2270787 + ], + [ + 66731257, + 95209468 + ], + [ + 60405757, + 28112633 + ], + [ + 59266454, + 80942843 + ], + [ + 65980605, + 37055942 + ], + [ + 88459328, + 54030773 + ], + [ + 34403225, + 95896682 + ], + [ + 72973889, + 75347735 + ], + [ + 88618101, + 86973649 + ], + [ + 20760360, + 34508178 + ], + [ + 25884365, + 65332876 + ], + [ + 50821579, + 90177140 + ], + [ + 18924824, + 33490248 + ], + [ + 91052958, + 91085964 + ], + [ + 67615814, + 21192571 + ], + [ + 58730851, + 65453585 + ], + [ + 18795543, + 91278400 + ], + [ + 56909740, + 47078623 + ], + [ + 72472376, + 77076426 + ], + [ + 18199533, + 94009088 + ], + [ + 85317483, + 21545888 + ], + [ + 76961995, + 949188 + ], + [ + 36935573, + 70622003 + ], + [ + 73545762, + 62411685 + ], + [ + 66744074, + 99216100 + ], + [ + 71812638, + 7335275 + ], + [ + 77173118, + 93523765 + ], + [ + 27025005, + 14693682 + ], + [ + 40698638, + 54664746 + ], + [ + 60112712, + 84759770 + ], + [ + 17138686, + 82319414 + ], + [ + 51728154, + 71381938 + ], + [ + 20892243, + 90841768 + ], + [ + 42959853, + 70536595 + ], + [ + 82023964, + 66658043 + ], + [ + 97567773, + 52431108 + ], + [ + 58104641, + 11528260 + ], + [ + 87274273, + 44883922 + ], + [ + 24570423, + 6576289 + ], + [ + 55982388, + 418947 + ], + [ + 29295904, + 23174710 + ], + [ + 75067683, + 82788674 + ], + [ + 60693691, + 47872751 + ], + [ + 20673994, + 21879494 + ], + [ + 11669102, + 42309002 + ], + [ + 90419072, + 19877742 + ], + [ + 99834377, + 87363656 + ], + [ + 98557428, + 48978305 + ], + [ + 68385391, + 78890714 + ], + [ + 96202486, + 85868061 + ], + [ + 71507281, + 15196955 + ], + [ + 68938325, + 77539931 + ], + [ + 78727400, + 54071202 + ], + [ + 79210870, + 31830468 + ], + [ + 92410192, + 25738719 + ], + [ + 64520884, + 48534537 + ], + [ + 65193888, + 57485403 + ], + [ + 95143027, + 63949799 + ], + [ + 3822392, + 84701394 + ], + [ + 22024856, + 27575176 + ], + [ + 88007816, + 3448565 + ], + [ + 50619307, + 97954050 + ], + [ + 1343214, + 30854373 + ], + [ + 46185397, + 70037266 + ], + [ + 12998073, + 58343585 + ], + [ + 33966685, + 43799873 + ], + [ + 23822654, + 52837874 + ], + [ + 53883449, + 26310293 + ], + [ + 75697124, + 59054873 + ], + [ + 81726247, + 82774726 + ], + [ + 74315435, + 17670381 + ], + [ + 46108672, + 54063675 + ], + [ + 79996961, + 13350413 + ], + [ + 53410327, + 64994176 + ], + [ + 93970850, + 86462566 + ], + [ + 88428422, + 20327308 + ], + [ + 42064601, + 39813255 + ], + [ + 25229256, + 61350060 + ], + [ + 55896519, + 69372736 + ], + [ + 75394273, + 94216748 + ], + [ + 47199756, + 3616596 + ], + [ + 69736680, + 3974193 + ], + [ + 52122359, + 61908265 + ], + [ + 75484199, + 16177159 + ], + [ + 23221562, + 57776069 + ], + [ + 40740045, + 38457243 + ], + [ + 66320542, + 63692446 + ], + [ + 12751669, + 69417926 + ], + [ + 16811801, + 95481541 + ], + [ + 81643793, + 66372318 + ], + [ + 8501142, + 99495298 + ], + [ + 84498188, + 29789297 + ], + [ + 36175184, + 46356598 + ], + [ + 87030045, + 77995115 + ], + [ + 94515365, + 50466804 + ], + [ + 7606233, + 49228231 + ], + [ + 39723869, + 28617963 + ], + [ + 27223064, + 25964272 + ], + [ + 17955206, + 76187027 + ], + [ + 73970271, + 15952642 + ], + [ + 70890257, + 72369959 + ], + [ + 85987874, + 87981310 + ], + [ + 83370357, + 68283661 + ], + [ + 50853433, + 97974105 + ], + [ + 57202229, + 81941024 + ], + [ + 79693079, + 21587184 + ], + [ + 69207216, + 32801996 + ], + [ + 85791515, + 58722846 + ], + [ + 58089981, + 64216936 + ], + [ + 73611767, + 335297 + ], + [ + 75175884, + 49005 + ], + [ + 49758435, + 81514709 + ], + [ + 60020836, + 46503947 + ], + [ + 70984768, + 10858158 + ], + [ + 24899645, + 69751446 + ], + [ + 71830843, + 58746475 + ], + [ + 46631890, + 34474529 + ], + [ + 48757747, + 36658392 + ], + [ + 90144995, + 45512721 + ], + [ + 76661802, + 5880611 + ], + [ + 53807924, + 63683099 + ], + [ + 36247771, + 41252275 + ], + [ + 66394259, + 77468869 + ], + [ + 72996836, + 73338787 + ], + [ + 37409674, + 36975728 + ], + [ + 41443408, + 71534169 + ], + [ + 60052492, + 19271088 + ], + [ + 30425404, + 53243511 + ], + [ + 69142806, + 90619096 + ], + [ + 56725493, + 15377829 + ], + [ + 60059621, + 49306936 + ], + [ + 90738177, + 82426964 + ], + [ + 43062764, + 78497066 + ], + [ + 54073930, + 97079450 + ], + [ + 12818964, + 47563104 + ], + [ + 33069379, + 32909927 + ], + [ + 5398158, + 28016635 + ], + [ + 32838129, + 48597011 + ], + [ + 72730005, + 27276753 + ], + [ + 73228349, + 60585577 + ], + [ + 22902408, + 70613461 + ], + [ + 82669526, + 56042033 + ], + [ + 44002578, + 92790474 + ], + [ + 43146118, + 69257042 + ], + [ + 20877051, + 62080966 + ], + [ + 16261569, + 67007556 + ], + [ + 87736610, + 77276361 + ], + [ + 42632756, + 88057413 + ], + [ + 81398277, + 75612885 + ], + [ + 26597358, + 12204465 + ], + [ + 18808748, + 11142666 + ], + [ + 6622313, + 24182334 + ], + [ + 49388202, + 62003084 + ], + [ + 57325793, + 22432279 + ], + [ + 20401161, + 201776 + ], + [ + 25763088, + 27632577 + ], + [ + 51083527, + 82639978 + ], + [ + 59051191, + 93546243 + ], + [ + 70798526, + 27224628 + ], + [ + 23625535, + 52825352 + ], + [ + 29531492, + 58971031 + ], + [ + 7870921, + 80799074 + ], + [ + 11124652, + 62277868 + ], + [ + 52158672, + 27664388 + ], + [ + 6577344, + 89684003 + ], + [ + 97722310, + 71338597 + ], + [ + 96400, + 263940 + ], + [ + 92772853, + 13871648 + ], + [ + 5404823, + 40662604 + ], + [ + 64113377, + 17697865 + ], + [ + 29029184, + 78833906 + ], + [ + 55655854, + 33687611 + ], + [ + 92526089, + 76322650 + ], + [ + 49508040, + 45024738 + ], + [ + 92822690, + 50411672 + ], + [ + 10677980, + 1916016 + ], + [ + 92745404, + 13954748 + ], + [ + 85558500, + 4880500 + ], + [ + 6399878, + 39715242 + ], + [ + 59919234, + 7156641 + ], + [ + 31854227, + 88892628 + ], + [ + 10030802, + 33341300 + ], + [ + 14262239, + 36945394 + ], + [ + 65549418, + 16223648 + ], + [ + 65684802, + 89786085 + ], + [ + 9838917, + 47241613 + ], + [ + 96939394, + 16488220 + ], + [ + 18068885, + 57005622 + ], + [ + 50862130, + 57134417 + ], + [ + 40689045, + 57467088 + ], + [ + 1642089, + 67297421 + ], + [ + 84612107, + 89521128 + ], + [ + 89547026, + 5753458 + ], + [ + 2709425, + 61071555 + ], + [ + 4062283, + 49511296 + ], + [ + 7923467, + 61809539 + ], + [ + 25292787, + 48105554 + ], + [ + 80606209, + 32399828 + ], + [ + 70780665, + 29022549 + ], + [ + 25543576, + 43298196 + ], + [ + 5214614, + 3816164 + ], + [ + 95919199, + 81100477 + ], + [ + 6634685, + 59651888 + ], + [ + 47919066, + 25122485 + ], + [ + 72954728, + 53423714 + ], + [ + 3053332, + 53589896 + ], + [ + 40866638, + 95470000 + ], + [ + 59199737, + 73008205 + ], + [ + 72506800, + 20305630 + ], + [ + 3356744, + 3397066 + ], + [ + 47964595, + 94336794 + ], + [ + 83368175, + 87027276 + ], + [ + 75277162, + 28765092 + ], + [ + 55151650, + 87435167 + ], + [ + 79215870, + 78393041 + ], + [ + 71295619, + 40573231 + ], + [ + 5929239, + 57364938 + ], + [ + 4243405, + 95346586 + ], + [ + 84051771, + 51129650 + ], + [ + 7631512, + 63805152 + ], + [ + 55006912, + 6010995 + ], + [ + 93275772, + 5387857 + ], + [ + 29541087, + 66715965 + ], + [ + 75579832, + 57200452 + ], + [ + 66575188, + 70871961 + ], + [ + 68523752, + 16317951 + ], + [ + 6893895, + 87442411 + ], + [ + 79013718, + 93901638 + ], + [ + 33720262, + 29620806 + ], + [ + 53093002, + 25020028 + ], + [ + 13356618, + 50022316 + ], + [ + 1559507, + 17325932 + ], + [ + 45743990, + 45249368 + ], + [ + 56718094, + 22670342 + ], + [ + 63775837, + 91555228 + ], + [ + 9604717, + 15624136 + ], + [ + 50499782, + 70819976 + ], + [ + 85771377, + 31560189 + ], + [ + 4535354, + 86826869 + ], + [ + 82808435, + 48843987 + ], + [ + 83006165, + 41611505 + ], + [ + 95894565, + 64043631 + ], + [ + 66879910, + 58405350 + ], + [ + 22979853, + 74766197 + ], + [ + 15171091, + 59491314 + ], + [ + 32104775, + 54087471 + ], + [ + 38199868, + 56014814 + ], + [ + 40439372, + 98880288 + ], + [ + 55192174, + 65777906 + ], + [ + 17971867, + 67191509 + ], + [ + 25550635, + 71002856 + ], + [ + 87937948, + 78306358 + ], + [ + 41094775, + 827708 + ], + [ + 51019688, + 5683582 + ], + [ + 46204243, + 64646001 + ], + [ + 8132818, + 75544079 + ], + [ + 34572145, + 57629559 + ], + [ + 27685629, + 64289777 + ], + [ + 44053167, + 26201893 + ], + [ + 54489751, + 11297953 + ], + [ + 11049955, + 83342298 + ], + [ + 13808908, + 34586062 + ], + [ + 68152139, + 67223651 + ], + [ + 96100713, + 57665076 + ], + [ + 62588504, + 97739174 + ], + [ + 57239107, + 24238567 + ], + [ + 74000381, + 14845628 + ], + [ + 39457588, + 79889574 + ], + [ + 87364977, + 1547318 + ], + [ + 70217778, + 51711362 + ], + [ + 34340483, + 45638776 + ], + [ + 46935193, + 8006033 + ], + [ + 55840493, + 40142822 + ], + [ + 42922657, + 34330184 + ], + [ + 83747625, + 10165760 + ], + [ + 79994948, + 11463449 + ], + [ + 86577261, + 53269045 + ], + [ + 81800748, + 67000103 + ], + [ + 48842029, + 7961803 + ], + [ + 5302547, + 57538957 + ], + [ + 13516433, + 51543365 + ], + [ + 38307878, + 82428737 + ], + [ + 8960969, + 26467728 + ], + [ + 73609240, + 8591747 + ], + [ + 33843462, + 92459608 + ], + [ + 97604840, + 66118890 + ], + [ + 80138404, + 356943 + ], + [ + 49349621, + 31201670 + ], + [ + 56931347, + 64088643 + ], + [ + 22582920, + 15528211 + ], + [ + 21299878, + 50497764 + ], + [ + 83379340, + 44449496 + ], + [ + 15369770, + 20289684 + ], + [ + 89020823, + 25528571 + ], + [ + 62956903, + 17624951 + ], + [ + 65864144, + 65012143 + ], + [ + 73585747, + 82532041 + ], + [ + 50717193, + 89661893 + ], + [ + 88839278, + 74665053 + ], + [ + 57250452, + 81617675 + ], + [ + 41404019, + 31620090 + ], + [ + 77687842, + 26396567 + ], + [ + 95002950, + 8076953 + ], + [ + 62739768, + 32058212 + ], + [ + 61229462, + 10016087 + ], + [ + 62929600, + 32453134 + ], + [ + 12230267, + 6978117 + ], + [ + 13883396, + 75638438 + ], + [ + 35300300, + 90774253 + ], + [ + 72164606, + 78214227 + ], + [ + 74277139, + 14955126 + ], + [ + 61947817, + 43415650 + ], + [ + 45518348, + 50718869 + ], + [ + 32362524, + 86881516 + ], + [ + 91111051, + 4351922 + ], + [ + 27375020, + 6760430 + ], + [ + 49818371, + 87016004 + ], + [ + 27617453, + 41643982 + ], + [ + 54613114, + 9557674 + ], + [ + 84432779, + 90273698 + ], + [ + 8767913, + 83714439 + ], + [ + 1243624, + 16878865 + ], + [ + 21733560, + 65524049 + ], + [ + 80378328, + 82937898 + ], + [ + 83131448, + 24221469 + ], + [ + 15463652, + 63849018 + ], + [ + 86911540, + 56035328 + ], + [ + 51283040, + 11772374 + ], + [ + 21575220, + 66306304 + ], + [ + 1240334, + 35069208 + ], + [ + 27143619, + 40723789 + ], + [ + 1586409, + 75228224 + ], + [ + 90819320, + 18016919 + ], + [ + 46975741, + 50060411 + ], + [ + 53149923, + 66994152 + ], + [ + 92237587, + 50828927 + ], + [ + 63084239, + 875856 + ], + [ + 10760830, + 34411348 + ], + [ + 62196431, + 3763635 + ], + [ + 57421150, + 36695285 + ], + [ + 50208097, + 22071660 + ], + [ + 79188448, + 65597167 + ], + [ + 99461084, + 40221322 + ], + [ + 37021103, + 89186289 + ], + [ + 95660013, + 21866093 + ], + [ + 55108874, + 35592553 + ], + [ + 57673529, + 44424923 + ], + [ + 70477759, + 19069732 + ], + [ + 68971569, + 28891266 + ], + [ + 44993750, + 4692728 + ], + [ + 3380936, + 95847672 + ], + [ + 70882481, + 58852955 + ], + [ + 93572062, + 90196903 + ], + [ + 26442443, + 3592564 + ], + [ + 78181379, + 718656 + ], + [ + 42870497, + 85777403 + ], + [ + 96207573, + 34024043 + ], + [ + 29399936, + 64541109 + ], + [ + 32714535, + 94924446 + ], + [ + 33541231, + 49636923 + ], + [ + 21921262, + 32433802 + ], + [ + 26480066, + 7761839 + ], + [ + 13775208, + 73761181 + ], + [ + 22029849, + 74479641 + ], + [ + 47274610, + 55133863 + ], + [ + 5590483, + 26124986 + ], + [ + 33104248, + 9483882 + ], + [ + 84825889, + 94889607 + ], + [ + 97022688, + 32531568 + ], + [ + 19536937, + 86552757 + ], + [ + 35022171, + 77055831 + ], + [ + 21603369, + 67609499 + ], + [ + 72560864, + 9761741 + ], + [ + 14193005, + 53151559 + ], + [ + 56381981, + 1202682 + ], + [ + 29290083, + 43614779 + ], + [ + 51290906, + 12985047 + ], + [ + 54801810, + 50229551 + ], + [ + 42313012, + 18158226 + ], + [ + 55825142, + 74603264 + ], + [ + 96212454, + 43909725 + ], + [ + 49755382, + 56617579 + ], + [ + 5704181, + 24756061 + ], + [ + 19393289, + 2990059 + ], + [ + 77408547, + 36622205 + ], + [ + 37923703, + 94393335 + ], + [ + 70530700, + 47852977 + ], + [ + 38662788, + 74961753 + ], + [ + 18215869, + 47550742 + ], + [ + 6384907, + 78528649 + ], + [ + 79400640, + 89344972 + ], + [ + 45983215, + 21294825 + ], + [ + 14895823, + 41334975 + ], + [ + 90228465, + 53929515 + ], + [ + 67080684, + 58225553 + ], + [ + 33073302, + 52758091 + ], + [ + 42406694, + 19288097 + ], + [ + 21383822, + 61757247 + ], + [ + 99248423, + 89441540 + ], + [ + 78830655, + 12845387 + ], + [ + 98539686, + 31833278 + ], + [ + 9726051, + 59857671 + ], + [ + 12505757, + 67151576 + ], + [ + 40503075, + 87054220 + ], + [ + 12852039, + 86625205 + ], + [ + 74650525, + 80811941 + ], + [ + 5157270, + 68492702 + ], + [ + 32039831, + 29312659 + ], + [ + 82764849, + 91154700 + ], + [ + 88415952, + 75090787 + ], + [ + 81624717, + 87708980 + ], + [ + 98369915, + 13243581 + ], + [ + 10927596, + 30030524 + ], + [ + 9544124, + 5835830 + ], + [ + 38212558, + 30164748 + ], + [ + 89847250, + 66296831 + ], + [ + 58925033, + 49636177 + ], + [ + 8064213, + 14203411 + ], + [ + 17519826, + 20890649 + ], + [ + 37419677, + 84291943 + ], + [ + 1597540, + 41184604 + ], + [ + 85807680, + 36402388 + ], + [ + 15334035, + 98447372 + ], + [ + 32985733, + 55282778 + ], + [ + 69048505, + 49045167 + ], + [ + 74606256, + 41549994 + ], + [ + 50499710, + 17324403 + ], + [ + 43945254, + 57498887 + ], + [ + 45839573, + 6413371 + ], + [ + 29960917, + 41116834 + ], + [ + 75522548, + 48614359 + ], + [ + 8424163, + 35092425 + ], + [ + 82902452, + 78323201 + ], + [ + 26925230, + 97923438 + ], + [ + 53863902, + 46046685 + ], + [ + 62762901, + 97972960 + ], + [ + 54944525, + 59224707 + ], + [ + 9430468, + 67282349 + ], + [ + 16355835, + 96836704 + ], + [ + 69446562, + 36739575 + ], + [ + 7505613, + 30440553 + ], + [ + 34596724, + 31263163 + ], + [ + 81040124, + 45496040 + ], + [ + 72768427, + 72874152 + ], + [ + 7931532, + 96697064 + ], + [ + 45613738, + 80050844 + ], + [ + 64271051, + 29111839 + ], + [ + 87319226, + 7722297 + ], + [ + 33889781, + 5500354 + ], + [ + 70475360, + 11773193 + ], + [ + 96132400, + 72865641 + ], + [ + 8874014, + 70190319 + ], + [ + 73956408, + 57877398 + ], + [ + 89009244, + 11153392 + ], + [ + 53441884, + 8504725 + ], + [ + 65872630, + 70268633 + ], + [ + 61499709, + 49641069 + ], + [ + 35232824, + 78438268 + ], + [ + 99754851, + 43987733 + ], + [ + 66809592, + 35729672 + ], + [ + 14380719, + 32057852 + ], + [ + 53050946, + 33780686 + ], + [ + 32268753, + 18335212 + ], + [ + 75184568, + 4275472 + ], + [ + 86159040, + 35771886 + ], + [ + 81516393, + 19323286 + ], + [ + 72205555, + 12760388 + ], + [ + 328335, + 47331689 + ], + [ + 10512909, + 23870479 + ], + [ + 16230233, + 8365743 + ], + [ + 88944722, + 36484138 + ], + [ + 3280944, + 20828017 + ], + [ + 54970141, + 30731655 + ], + [ + 15615300, + 24489041 + ], + [ + 46929519, + 3016098 + ], + [ + 59306500, + 73024671 + ], + [ + 58844455, + 32030253 + ], + [ + 84562753, + 44765639 + ], + [ + 40482487, + 92921744 + ], + [ + 8209866, + 60717487 + ], + [ + 19626346, + 94286130 + ], + [ + 40763234, + 74725458 + ], + [ + 42623146, + 84975714 + ], + [ + 56197394, + 6067447 + ], + [ + 10775829, + 32291644 + ], + [ + 52105697, + 18351384 + ], + [ + 97063237, + 75410216 + ], + [ + 13639984, + 96569727 + ], + [ + 57690789, + 43880917 + ], + [ + 81367004, + 4603519 + ], + [ + 12233820, + 37808869 + ], + [ + 20610700, + 8353567 + ], + [ + 86718634, + 38260951 + ], + [ + 68896489, + 41230456 + ], + [ + 86920318, + 8646567 + ], + [ + 45665469, + 54510413 + ], + [ + 27962386, + 60090901 + ], + [ + 54563685, + 25725559 + ], + [ + 9409551, + 6548088 + ], + [ + 85470420, + 13934483 + ], + [ + 71076841, + 21450267 + ], + [ + 16286542, + 76079884 + ], + [ + 54320353, + 89188832 + ], + [ + 48316486, + 55744766 + ], + [ + 97754425, + 70889342 + ], + [ + 89387977, + 63417923 + ], + [ + 68818462, + 58450278 + ], + [ + 11953218, + 324017 + ], + [ + 87801870, + 33690788 + ], + [ + 13592749, + 73784323 + ], + [ + 48624912, + 361314 + ], + [ + 54125854, + 20542405 + ], + [ + 297154, + 21366757 + ], + [ + 15607739, + 32339828 + ], + [ + 52420254, + 39276600 + ], + [ + 32855718, + 90258847 + ], + [ + 20912611, + 28289513 + ], + [ + 75914877, + 79653768 + ], + [ + 62965808, + 13952024 + ], + [ + 99292907, + 86764069 + ], + [ + 29795872, + 40218769 + ], + [ + 29973492, + 61854066 + ], + [ + 32150631, + 21392199 + ], + [ + 78640963, + 88533223 + ], + [ + 98281169, + 33273371 + ], + [ + 73996358, + 69700307 + ], + [ + 26567463, + 79320091 + ], + [ + 15279166, + 63534947 + ], + [ + 4721098, + 16742101 + ], + [ + 48855664, + 84059946 + ], + [ + 23885578, + 33293874 + ], + [ + 51778421, + 34152263 + ], + [ + 39281686, + 33873551 + ], + [ + 91348793, + 89384474 + ], + [ + 42488052, + 11549560 + ], + [ + 45632075, + 99105051 + ], + [ + 3077035, + 21813918 + ], + [ + 28902520, + 39813099 + ], + [ + 63319481, + 84253343 + ], + [ + 30360893, + 5508010 + ], + [ + 43754777, + 78927246 + ], + [ + 65843690, + 2501470 + ], + [ + 73948314, + 24185780 + ], + [ + 89357011, + 9404598 + ], + [ + 9566021, + 20195149 + ], + [ + 75298746, + 70048214 + ], + [ + 84006116, + 33721044 + ], + [ + 92450569, + 31462393 + ], + [ + 8156282, + 49745860 + ], + [ + 9088715, + 60014575 + ], + [ + 78710945, + 27418234 + ], + [ + 57145518, + 32811274 + ], + [ + 91844802, + 70775203 + ], + [ + 65112492, + 30347508 + ], + [ + 76225904, + 78653501 + ], + [ + 87206539, + 55163715 + ], + [ + 82692845, + 51969403 + ], + [ + 69677151, + 30651678 + ], + [ + 4892148, + 41724338 + ], + [ + 4404163, + 77109431 + ], + [ + 44136581, + 88551973 + ], + [ + 95110472, + 89064971 + ], + [ + 47318070, + 69111592 + ], + [ + 42618275, + 42912684 + ], + [ + 1069908, + 92359403 + ], + [ + 68411723, + 89546683 + ], + [ + 52082969, + 22219812 + ], + [ + 1312330, + 67875078 + ], + [ + 54240073, + 29735799 + ], + [ + 88243013, + 39265248 + ], + [ + 3476650, + 24039270 + ], + [ + 65740335, + 30710104 + ], + [ + 3920123, + 93983900 + ], + [ + 48661701, + 42428977 + ], + [ + 65782101, + 8975455 + ], + [ + 39025252, + 51685160 + ], + [ + 95000173, + 12072102 + ], + [ + 95218541, + 13607304 + ], + [ + 45365159, + 55580975 + ], + [ + 80672054, + 23811046 + ], + [ + 88705444, + 6667120 + ], + [ + 63294946, + 21682030 + ], + [ + 7336516, + 34280697 + ], + [ + 47564096, + 64863326 + ], + [ + 56110237, + 95357834 + ], + [ + 87304295, + 28980389 + ], + [ + 79311172, + 69666626 + ], + [ + 96564992, + 17400347 + ], + [ + 20216294, + 14260868 + ], + [ + 66032696, + 51535660 + ], + [ + 10607847, + 90690516 + ], + [ + 7471360, + 3277473 + ], + [ + 23715340, + 11491198 + ], + [ + 70608753, + 38804065 + ], + [ + 76383472, + 70349729 + ], + [ + 83043838, + 69218556 + ], + [ + 63928715, + 67144379 + ], + [ + 49505358, + 8010729 + ], + [ + 98248880, + 26081744 + ], + [ + 90745844, + 8544676 + ], + [ + 77013290, + 255528 + ], + [ + 22735614, + 66303164 + ], + [ + 94705733, + 21926903 + ], + [ + 8151753, + 71218944 + ], + [ + 82973998, + 20477343 + ], + [ + 92724360, + 4887995 + ], + [ + 37936352, + 13450133 + ], + [ + 93329441, + 49733269 + ], + [ + 437118, + 80956200 + ], + [ + 21795981, + 82522053 + ], + [ + 73934700, + 44503794 + ], + [ + 65755398, + 8425882 + ], + [ + 25465686, + 73946142 + ], + [ + 14746764, + 47452280 + ], + [ + 414878, + 86115245 + ], + [ + 87778220, + 17208218 + ], + [ + 35401296, + 37053795 + ], + [ + 66759780, + 84828237 + ], + [ + 37905403, + 34907632 + ], + [ + 85465883, + 60429523 + ], + [ + 14668250, + 31081989 + ], + [ + 63675452, + 53585849 + ], + [ + 39931841, + 71429647 + ], + [ + 17255850, + 39586962 + ], + [ + 65991138, + 37858586 + ], + [ + 30224214, + 31064402 + ], + [ + 20884209, + 66169427 + ], + [ + 68351978, + 97482538 + ], + [ + 53764542, + 37899619 + ], + [ + 78404762, + 73308761 + ], + [ + 35566476, + 64795392 + ], + [ + 78622578, + 35718613 + ], + [ + 21488991, + 18137434 + ], + [ + 36778150, + 5849448 + ], + [ + 25668730, + 68745366 + ], + [ + 88580399, + 48230760 + ], + [ + 94425533, + 19552173 + ], + [ + 26137525, + 80475198 + ], + [ + 11477489, + 21776752 + ], + [ + 62732021, + 70324432 + ], + [ + 36329667, + 55588397 + ], + [ + 4417933, + 89179266 + ], + [ + 9201407, + 90512137 + ], + [ + 72193806, + 56261163 + ], + [ + 33251944, + 10058297 + ], + [ + 95238544, + 82728244 + ], + [ + 63829334, + 24017456 + ], + [ + 10112493, + 19546744 + ], + [ + 31130558, + 38896712 + ], + [ + 39155169, + 28424674 + ], + [ + 12196098, + 56810478 + ], + [ + 45240403, + 38024463 + ], + [ + 43087257, + 50430070 + ], + [ + 23132606, + 55323619 + ], + [ + 19657301, + 94893072 + ], + [ + 42232847, + 76344179 + ], + [ + 10256775, + 34855360 + ], + [ + 64211164, + 39721621 + ], + [ + 48424156, + 15094855 + ], + [ + 59659053, + 355418 + ], + [ + 60105915, + 14897328 + ], + [ + 40923985, + 71453196 + ], + [ + 64735584, + 99749245 + ], + [ + 56808111, + 66078368 + ], + [ + 17946095, + 92834641 + ], + [ + 70254137, + 46758243 + ], + [ + 95035242, + 32797883 + ], + [ + 14994436, + 40065583 + ], + [ + 13737370, + 10410293 + ], + [ + 80640207, + 1010199 + ], + [ + 25447820, + 69762866 + ], + [ + 94191360, + 70993433 + ], + [ + 30242466, + 47043768 + ], + [ + 37885700, + 75580523 + ], + [ + 42499698, + 70403507 + ], + [ + 97462940, + 3402295 + ], + [ + 64508094, + 50807549 + ], + [ + 84454659, + 81052575 + ], + [ + 12401713, + 75392621 + ], + [ + 4400150, + 4887945 + ], + [ + 72965937, + 90776988 + ], + [ + 52390538, + 12092501 + ], + [ + 58160059, + 60709337 + ], + [ + 99057494, + 20599831 + ], + [ + 870568, + 86697837 + ], + [ + 11394847, + 67052534 + ], + [ + 33601280, + 80968069 + ], + [ + 25828974, + 86848693 + ], + [ + 37688164, + 47216982 + ], + [ + 60876142, + 68834219 + ], + [ + 56045012, + 34345996 + ], + [ + 28293747, + 76028246 + ], + [ + 99191580, + 13043348 + ], + [ + 78914597, + 432253 + ], + [ + 16608834, + 75665429 + ], + [ + 93698817, + 64128052 + ], + [ + 25118486, + 23351517 + ], + [ + 46603562, + 69908356 + ], + [ + 73678701, + 80576612 + ], + [ + 33762115, + 48352526 + ], + [ + 41573715, + 15715445 + ], + [ + 19310867, + 73931654 + ], + [ + 60553725, + 29106402 + ], + [ + 65186769, + 40237301 + ], + [ + 26996078, + 14997711 + ], + [ + 10570459, + 96768684 + ], + [ + 30364639, + 78258515 + ], + [ + 1356558, + 38295862 + ], + [ + 61053038, + 1292135 + ], + [ + 67618065, + 64956158 + ], + [ + 20945604, + 21223110 + ], + [ + 21827568, + 84513652 + ], + [ + 65638120, + 71761181 + ], + [ + 82769703, + 86596198 + ], + [ + 71591635, + 78139244 + ], + [ + 90553373, + 4196202 + ], + [ + 3376735, + 53544396 + ], + [ + 39132001, + 63123050 + ], + [ + 69995913, + 6328917 + ], + [ + 48160213, + 74867658 + ], + [ + 19595802, + 12483970 + ], + [ + 87679551, + 78209637 + ], + [ + 62970006, + 87283780 + ], + [ + 95654365, + 29273970 + ], + [ + 37993947, + 14795436 + ], + [ + 79218564, + 72265262 + ], + [ + 1442411, + 50805803 + ], + [ + 34618724, + 35964248 + ], + [ + 28868383, + 25317320 + ], + [ + 29341970, + 4994530 + ], + [ + 39775210, + 36727740 + ], + [ + 66182283, + 69168647 + ], + [ + 71932410, + 93885945 + ], + [ + 32329960, + 9734077 + ], + [ + 45236268, + 25993670 + ], + [ + 57340668, + 61529003 + ], + [ + 94214998, + 3721594 + ], + [ + 67346448, + 65342650 + ], + [ + 15306222, + 54637612 + ], + [ + 25697994, + 22950752 + ], + [ + 87430128, + 16821539 + ], + [ + 20822610, + 14436833 + ], + [ + 10379548, + 36456643 + ], + [ + 57307674, + 90441663 + ], + [ + 88844179, + 24357412 + ], + [ + 26765824, + 18876636 + ], + [ + 34747016, + 22200617 + ], + [ + 54213115, + 96977476 + ], + [ + 95926684, + 68454115 + ], + [ + 6961950, + 48162334 + ], + [ + 91012174, + 34298033 + ], + [ + 61196938, + 51987369 + ], + [ + 30682733, + 64145938 + ], + [ + 14032986, + 26636691 + ], + [ + 96509131, + 20646128 + ], + [ + 20885732, + 67433185 + ], + [ + 70674188, + 30916460 + ], + [ + 61593644, + 45995191 + ], + [ + 96397126, + 86287801 + ], + [ + 57286313, + 98100779 + ], + [ + 82976281, + 8340606 + ], + [ + 65292712, + 73266922 + ], + [ + 55373509, + 62360899 + ], + [ + 23188821, + 43144996 + ], + [ + 54820334, + 74769659 + ], + [ + 79758315, + 31112035 + ], + [ + 89481588, + 58621572 + ], + [ + 39003539, + 88485382 + ], + [ + 65102242, + 70905529 + ], + [ + 57897367, + 32887563 + ], + [ + 95796760, + 71024222 + ], + [ + 40215245, + 32341022 + ], + [ + 55274348, + 36732417 + ], + [ + 52864726, + 15884270 + ], + [ + 14721593, + 65207632 + ], + [ + 34552343, + 78801364 + ], + [ + 8671082, + 48998186 + ], + [ + 90912998, + 3216789 + ], + [ + 75548022, + 485220 + ], + [ + 5824339, + 70682630 + ], + [ + 14278976, + 88146787 + ], + [ + 70480092, + 69506370 + ], + [ + 21358206, + 98979137 + ], + [ + 35954176, + 59847739 + ], + [ + 83033526, + 57331877 + ], + [ + 41253833, + 68153947 + ], + [ + 30050930, + 30067831 + ], + [ + 89897852, + 77913822 + ], + [ + 13264349, + 1246011 + ], + [ + 96447313, + 19260933 + ], + [ + 79813108, + 8240832 + ], + [ + 33704898, + 73682708 + ], + [ + 19573993, + 67909554 + ], + [ + 17572255, + 55212948 + ], + [ + 49230177, + 39008064 + ], + [ + 67157889, + 98662988 + ], + [ + 3822073, + 23385023 + ], + [ + 95156415, + 761089 + ], + [ + 34716590, + 54074673 + ], + [ + 31780649, + 13627586 + ], + [ + 56754680, + 5025051 + ], + [ + 87687062, + 96375987 + ], + [ + 28850885, + 88230101 + ], + [ + 18767770, + 92157289 + ], + [ + 85637309, + 52061627 + ], + [ + 16703415, + 76451108 + ], + [ + 32823909, + 81458828 + ], + [ + 78501625, + 33680578 + ], + [ + 81956968, + 23386841 + ], + [ + 19845822, + 61107197 + ], + [ + 81670757, + 40319992 + ], + [ + 71754417, + 99522750 + ], + [ + 41835147, + 34886717 + ], + [ + 16500325, + 44185058 + ], + [ + 66339309, + 95263633 + ], + [ + 16491252, + 45162921 + ], + [ + 7024066, + 64408591 + ], + [ + 30968009, + 67987287 + ], + [ + 91604342, + 16160137 + ], + [ + 63559487, + 55077591 + ], + [ + 16280106, + 57699096 + ], + [ + 21610870, + 36325609 + ], + [ + 37658127, + 84349785 + ], + [ + 11528409, + 68277430 + ], + [ + 56418983, + 26207734 + ], + [ + 29622424, + 89594861 + ], + [ + 78546128, + 99032917 + ], + [ + 29117005, + 72839528 + ], + [ + 48283650, + 35471638 + ], + [ + 74905077, + 87611776 + ], + [ + 63562283, + 6985463 + ], + [ + 24931212, + 80055230 + ], + [ + 89458613, + 193625 + ], + [ + 21742597, + 69429548 + ], + [ + 50709509, + 47500004 + ], + [ + 31480119, + 8463788 + ], + [ + 870745, + 34565216 + ], + [ + 99454262, + 69089784 + ], + [ + 96782848, + 40177002 + ], + [ + 83040738, + 16050058 + ], + [ + 95677644, + 4192458 + ], + [ + 23792106, + 27249936 + ], + [ + 92628822, + 66998337 + ], + [ + 40120929, + 40821247 + ], + [ + 34525016, + 15043503 + ], + [ + 64254054, + 97302251 + ], + [ + 24162989, + 90753198 + ], + [ + 83975380, + 45099398 + ], + [ + 77991995, + 67503581 + ], + [ + 68976239, + 71812977 + ], + [ + 40370299, + 53788616 + ], + [ + 50520784, + 80668612 + ], + [ + 36648615, + 70755133 + ], + [ + 37256504, + 17106958 + ], + [ + 14586515, + 14313701 + ], + [ + 46158327, + 57832833 + ], + [ + 33024040, + 30089948 + ], + [ + 57721579, + 10995740 + ], + [ + 51676066, + 33692768 + ], + [ + 36908813, + 76157061 + ], + [ + 39481018, + 29386424 + ], + [ + 43834822, + 18820156 + ], + [ + 50914161, + 96658634 + ], + [ + 59223980, + 90263218 + ], + [ + 87296018, + 83163069 + ], + [ + 51446272, + 6654514 + ], + [ + 61756670, + 49564592 + ], + [ + 70633334, + 51182538 + ], + [ + 71378869, + 88493049 + ], + [ + 83228326, + 70785340 + ], + [ + 42243737, + 54514022 + ], + [ + 4591836, + 58288657 + ], + [ + 14591133, + 16937437 + ], + [ + 25612137, + 47062977 + ], + [ + 5090327, + 11958443 + ], + [ + 87559446, + 69293795 + ], + [ + 20885714, + 44914814 + ], + [ + 89674058, + 81627029 + ], + [ + 37076455, + 66524494 + ], + [ + 23812828, + 53985188 + ], + [ + 70929392, + 25974123 + ], + [ + 48302150, + 37489397 + ], + [ + 93274888, + 45734261 + ], + [ + 88289353, + 60807880 + ], + [ + 35748953, + 78623922 + ], + [ + 76167998, + 1838550 + ], + [ + 33200800, + 14447971 + ], + [ + 96254334, + 45260815 + ], + [ + 33940598, + 62806513 + ], + [ + 74861197, + 50985979 + ], + [ + 28403318, + 15186263 + ], + [ + 37895263, + 42874245 + ], + [ + 68955604, + 61691331 + ], + [ + 79302680, + 66955987 + ], + [ + 72010197, + 34115348 + ], + [ + 61641497, + 25042753 + ], + [ + 95467283, + 47343219 + ], + [ + 61212227, + 89882746 + ], + [ + 87206870, + 13450368 + ], + [ + 12568944, + 70411374 + ], + [ + 62292434, + 11291386 + ], + [ + 89620559, + 16272872 + ], + [ + 15136364, + 77557975 + ], + [ + 25952615, + 54512605 + ], + [ + 74473043, + 42991390 + ], + [ + 36335513, + 42930639 + ], + [ + 88911660, + 50800028 + ], + [ + 26718935, + 77322721 + ], + [ + 39186175, + 10088305 + ], + [ + 77656807, + 75764284 + ], + [ + 56847059, + 48899895 + ], + [ + 18179111, + 9973090 + ], + [ + 18578684, + 90554010 + ], + [ + 98793724, + 52059995 + ], + [ + 18565354, + 225437 + ], + [ + 2187973, + 57124615 + ], + [ + 38030291, + 87658939 + ], + [ + 21238249, + 17119819 + ], + [ + 47171192, + 9824659 + ], + [ + 40587251, + 12695804 + ], + [ + 41033678, + 83080288 + ], + [ + 84122932, + 55218775 + ], + [ + 84387725, + 64719590 + ], + [ + 38760846, + 12081344 + ], + [ + 6421476, + 63701032 + ], + [ + 73373342, + 52521413 + ], + [ + 5452656, + 21124523 + ], + [ + 61844312, + 56835177 + ], + [ + 98209754, + 41304818 + ], + [ + 29701719, + 6786952 + ], + [ + 86304709, + 53304194 + ], + [ + 93031880, + 97702515 + ], + [ + 76309951, + 9012607 + ], + [ + 49371355, + 47449286 + ], + [ + 23161137, + 75837921 + ], + [ + 60018570, + 38733177 + ], + [ + 30559916, + 52324356 + ], + [ + 50194461, + 75418303 + ], + [ + 76076802, + 27196742 + ], + [ + 13660838, + 73314472 + ], + [ + 94362145, + 2409496 + ], + [ + 77493633, + 42116970 + ], + [ + 69422729, + 39898315 + ], + [ + 93525584, + 74019603 + ], + [ + 73268187, + 51011040 + ], + [ + 34942922, + 86881994 + ], + [ + 69194806, + 81120570 + ], + [ + 9791462, + 92816309 + ], + [ + 54323490, + 58864325 + ], + [ + 44899523, + 26724631 + ], + [ + 55510992, + 34677160 + ], + [ + 15613811, + 95025660 + ], + [ + 85885940, + 13790048 + ], + [ + 48766319, + 28276700 + ], + [ + 25637125, + 1605997 + ], + [ + 81456742, + 46989543 + ], + [ + 43364773, + 29916955 + ], + [ + 35376980, + 21509511 + ], + [ + 85932535, + 26804956 + ], + [ + 24696406, + 13410466 + ], + [ + 26324147, + 62500654 + ], + [ + 68280849, + 204972 + ], + [ + 50095265, + 30840994 + ], + [ + 24455796, + 54110605 + ], + [ + 29866525, + 56462256 + ], + [ + 70952669, + 12543609 + ], + [ + 8873145, + 2604500 + ], + [ + 3677567, + 55117277 + ], + [ + 24084211, + 93192575 + ], + [ + 40383843, + 83859119 + ], + [ + 6258754, + 33667150 + ], + [ + 46329724, + 45526964 + ], + [ + 95604595, + 31823723 + ], + [ + 99147610, + 57946628 + ], + [ + 26668892, + 60610249 + ], + [ + 27046810, + 88456105 + ], + [ + 59869175, + 77602781 + ], + [ + 47648908, + 68693562 + ], + [ + 36521795, + 50798665 + ], + [ + 32386742, + 36595413 + ], + [ + 12145577, + 54752468 + ], + [ + 89029968, + 45749406 + ], + [ + 65640201, + 79264550 + ], + [ + 17377932, + 13893048 + ], + [ + 69356697, + 34569892 + ], + [ + 10487113, + 36513384 + ], + [ + 85447498, + 2779166 + ], + [ + 57210230, + 21528717 + ], + [ + 67923004, + 60291851 + ], + [ + 71977282, + 72504839 + ], + [ + 83142941, + 74421103 + ], + [ + 2158251, + 20776179 + ], + [ + 19102675, + 45343045 + ], + [ + 79110982, + 79533012 + ], + [ + 63030684, + 71500603 + ], + [ + 71976987, + 62876730 + ], + [ + 43272845, + 48259591 + ], + [ + 95145013, + 464472 + ], + [ + 23398341, + 23219443 + ], + [ + 14186228, + 52138217 + ], + [ + 48040068, + 23041664 + ], + [ + 5252506, + 35999247 + ], + [ + 75759079, + 29951641 + ], + [ + 49916581, + 22431101 + ], + [ + 59496781, + 75703248 + ], + [ + 21397482, + 14747441 + ], + [ + 36520348, + 98483999 + ], + [ + 29744283, + 4765942 + ], + [ + 98831808, + 26988912 + ], + [ + 13449013, + 1595083 + ], + [ + 8136802, + 68390571 + ], + [ + 10094866, + 85416692 + ], + [ + 42066708, + 38167084 + ], + [ + 89176646, + 90453167 + ], + [ + 30820768, + 81271265 + ], + [ + 1731611, + 73916236 + ], + [ + 651323, + 21980691 + ], + [ + 25844673, + 44343424 + ], + [ + 23195464, + 70281980 + ], + [ + 41905730, + 97645750 + ], + [ + 76846086, + 5768559 + ], + [ + 51719763, + 56085093 + ], + [ + 99949726, + 73703489 + ], + [ + 72814225, + 6514453 + ], + [ + 45413488, + 42565101 + ], + [ + 7590587, + 61872882 + ], + [ + 2016512, + 25887568 + ], + [ + 88801034, + 27606259 + ], + [ + 26282282, + 17090347 + ], + [ + 27622945, + 67684652 + ], + [ + 12105690, + 11734454 + ], + [ + 89337184, + 36690707 + ], + [ + 48072058, + 62956954 + ], + [ + 72796961, + 97599278 + ], + [ + 18917079, + 26942441 + ], + [ + 87543453, + 67007965 + ], + [ + 27635494, + 23288518 + ], + [ + 65317844, + 62614289 + ], + [ + 74929066, + 38394384 + ], + [ + 93168820, + 720905 + ], + [ + 19731049, + 75663497 + ], + [ + 84958940, + 86434594 + ], + [ + 9708790, + 6613525 + ], + [ + 61149459, + 48981169 + ], + [ + 9383803, + 19815662 + ], + [ + 76355556, + 96973338 + ], + [ + 65297018, + 61115496 + ], + [ + 19769765, + 72514266 + ], + [ + 33584612, + 14427565 + ], + [ + 89449407, + 74445585 + ], + [ + 78553423, + 86117828 + ], + [ + 66370068, + 24515477 + ], + [ + 762908, + 42334117 + ], + [ + 31077563, + 48892980 + ], + [ + 89434646, + 9275190 + ], + [ + 16739187, + 56562730 + ], + [ + 31980510, + 99422891 + ], + [ + 2569161, + 73443500 + ], + [ + 83445014, + 33304243 + ], + [ + 60211780, + 3486222 + ], + [ + 16799766, + 34916164 + ], + [ + 3550446, + 81395810 + ], + [ + 31009561, + 23854233 + ], + [ + 84417550, + 88975539 + ], + [ + 897752, + 75152880 + ], + [ + 39385623, + 70053174 + ], + [ + 80768940, + 31784746 + ], + [ + 64567972, + 76580602 + ], + [ + 58018173, + 94660552 + ], + [ + 22751957, + 83055432 + ], + [ + 93067459, + 88829376 + ], + [ + 31849534, + 46176021 + ], + [ + 89161951, + 54101458 + ], + [ + 53104753, + 64983825 + ], + [ + 70849567, + 33794130 + ], + [ + 74510217, + 48915850 + ], + [ + 61931479, + 76950621 + ], + [ + 45382473, + 48299262 + ], + [ + 89244148, + 9475279 + ], + [ + 57861581, + 94981123 + ], + [ + 54217885, + 19950597 + ], + [ + 53340011, + 20464109 + ], + [ + 20240470, + 28937187 + ], + [ + 3403875, + 19410054 + ], + [ + 7744260, + 1629050 + ], + [ + 63985244, + 75098998 + ], + [ + 25087167, + 7457058 + ], + [ + 61448426, + 31298848 + ], + [ + 84368169, + 328188 + ], + [ + 61376398, + 12108067 + ], + [ + 29862883, + 24502383 + ], + [ + 23586081, + 84940553 + ], + [ + 57693270, + 58095523 + ], + [ + 77948645, + 72512409 + ], + [ + 56675038, + 1149324 + ], + [ + 62603842, + 51638943 + ], + [ + 10307511, + 50513566 + ], + [ + 97812727, + 70284969 + ], + [ + 27827378, + 90975082 + ], + [ + 51306536, + 3683074 + ], + [ + 57599942, + 3287019 + ], + [ + 10021164, + 2815570 + ], + [ + 17553488, + 92103453 + ], + [ + 61460594, + 90765479 + ], + [ + 11353775, + 50348138 + ], + [ + 43730107, + 2846991 + ], + [ + 89712016, + 11043783 + ], + [ + 63513475, + 70842625 + ], + [ + 72740155, + 36747394 + ], + [ + 41842672, + 14863035 + ], + [ + 33188248, + 62282531 + ], + [ + 37559900, + 4214595 + ], + [ + 29171937, + 56705556 + ], + [ + 37296123, + 58484717 + ], + [ + 28403700, + 97849430 + ], + [ + 85157480, + 36570385 + ], + [ + 30663018, + 83973969 + ], + [ + 38648065, + 47500310 + ], + [ + 48612292, + 80050467 + ], + [ + 80876707, + 15758539 + ], + [ + 21393062, + 91914050 + ], + [ + 45842980, + 54027569 + ], + [ + 91763837, + 27315817 + ], + [ + 68414087, + 25512890 + ], + [ + 23145722, + 46883391 + ], + [ + 43615987, + 47834433 + ], + [ + 62497418, + 4486379 + ], + [ + 86917868, + 84145768 + ], + [ + 75761856, + 30648443 + ], + [ + 66503641, + 32982463 + ], + [ + 88543101, + 18626729 + ], + [ + 97971731, + 15658501 + ], + [ + 57223193, + 14951500 + ], + [ + 64593077, + 30228963 + ], + [ + 41670714, + 77542222 + ], + [ + 63330427, + 85709729 + ], + [ + 98539362, + 21944391 + ], + [ + 60509695, + 54914657 + ], + [ + 21180353, + 38121967 + ], + [ + 8639151, + 64070322 + ], + [ + 54202525, + 56855254 + ], + [ + 84530092, + 98628856 + ], + [ + 5042174, + 8049457 + ], + [ + 88196427, + 67407659 + ], + [ + 8822875, + 19131430 + ], + [ + 20545660, + 55937713 + ], + [ + 58805522, + 18170094 + ], + [ + 68349055, + 71067609 + ], + [ + 52088178, + 71689034 + ], + [ + 91756598, + 31283018 + ], + [ + 38163783, + 13816183 + ], + [ + 65812914, + 60282414 + ], + [ + 49124120, + 97067861 + ], + [ + 73805608, + 47260614 + ], + [ + 51762372, + 30883849 + ], + [ + 56868937, + 84958212 + ], + [ + 6850322, + 26497438 + ], + [ + 58076932, + 92357611 + ], + [ + 88076765, + 78610618 + ], + [ + 98522744, + 34746750 + ], + [ + 4492796, + 57573616 + ], + [ + 70345983, + 20938198 + ], + [ + 25510965, + 8260633 + ], + [ + 36654871, + 6860231 + ], + [ + 24167713, + 20614666 + ], + [ + 8965071, + 60421998 + ], + [ + 67251552, + 55087803 + ], + [ + 55241327, + 15130324 + ], + [ + 13756544, + 90454341 + ], + [ + 12180016, + 72515277 + ], + [ + 41243549, + 4837903 + ], + [ + 85685852, + 19514153 + ], + [ + 72518089, + 39213852 + ], + [ + 62815071, + 20826221 + ], + [ + 55334496, + 94850561 + ], + [ + 71644443, + 88819529 + ], + [ + 14878666, + 20701145 + ], + [ + 96036932, + 89674657 + ], + [ + 31313196, + 15128609 + ], + [ + 10018394, + 90473310 + ], + [ + 41765783, + 1156497 + ], + [ + 6034923, + 34155130 + ], + [ + 78854147, + 2562708 + ], + [ + 23171323, + 65143382 + ], + [ + 19930379, + 88758619 + ], + [ + 1765231, + 13240943 + ], + [ + 47035405, + 29569398 + ], + [ + 559085, + 86254381 + ], + [ + 23604837, + 36202388 + ], + [ + 97655645, + 38596789 + ], + [ + 74785867, + 15442245 + ], + [ + 19772954, + 71292916 + ], + [ + 21065431, + 55953085 + ], + [ + 24806658, + 41670362 + ], + [ + 54372316, + 94480286 + ], + [ + 61540963, + 31388930 + ], + [ + 86043247, + 76428644 + ], + [ + 59789118, + 46715099 + ], + [ + 93697585, + 45305761 + ], + [ + 44841922, + 6145755 + ], + [ + 6764916, + 92533929 + ], + [ + 13738404, + 93035868 + ], + [ + 39606474, + 69294794 + ], + [ + 66446880, + 25919634 + ], + [ + 57270244, + 43666102 + ], + [ + 72512980, + 77987727 + ], + [ + 82913161, + 75726588 + ], + [ + 12191265, + 2174210 + ], + [ + 95282151, + 83106773 + ], + [ + 73715027, + 76338788 + ], + [ + 60889123, + 35476445 + ], + [ + 41222951, + 97828839 + ], + [ + 39517094, + 58137165 + ], + [ + 61703058, + 13732948 + ], + [ + 76018785, + 43193446 + ], + [ + 34778932, + 66418394 + ], + [ + 80822903, + 78050320 + ], + [ + 65222946, + 79541189 + ], + [ + 25444504, + 25683144 + ], + [ + 50240662, + 27886453 + ], + [ + 44038622, + 87681665 + ], + [ + 57683870, + 23591004 + ], + [ + 62399800, + 81972098 + ], + [ + 77941453, + 2212438 + ], + [ + 85907870, + 51192540 + ], + [ + 37522205, + 26365515 + ], + [ + 80779049, + 60549794 + ], + [ + 42283564, + 617379 + ], + [ + 60606833, + 2266683 + ], + [ + 63522392, + 50350520 + ], + [ + 18745107, + 787184 + ], + [ + 66247297, + 93221413 + ], + [ + 97154330, + 85785291 + ], + [ + 47444453, + 9208736 + ], + [ + 52685397, + 3336386 + ], + [ + 66016056, + 36015021 + ], + [ + 68495407, + 15524140 + ], + [ + 88481716, + 72228609 + ], + [ + 69709011, + 98752541 + ], + [ + 57782043, + 76505777 + ], + [ + 3163837, + 73701771 + ], + [ + 94514783, + 2916679 + ], + [ + 68254058, + 94350920 + ], + [ + 22561794, + 34455324 + ], + [ + 80712706, + 50259633 + ], + [ + 19741582, + 92159668 + ], + [ + 90270357, + 89363606 + ], + [ + 89609834, + 64644799 + ], + [ + 56793799, + 84585899 + ], + [ + 90263814, + 77197858 + ], + [ + 94112684, + 78067236 + ], + [ + 92860048, + 37839226 + ], + [ + 19159379, + 85435951 + ], + [ + 80926033, + 16953273 + ], + [ + 6534880, + 37363242 + ], + [ + 70160127, + 12788412 + ], + [ + 30802639, + 91523934 + ], + [ + 45930692, + 56169937 + ], + [ + 97623356, + 80483649 + ], + [ + 85148018, + 32882000 + ], + [ + 52026960, + 57022304 + ], + [ + 22900158, + 22456169 + ], + [ + 65255891, + 55363089 + ], + [ + 18886324, + 50949435 + ], + [ + 63287085, + 72036492 + ], + [ + 51473917, + 70265385 + ], + [ + 10547958, + 97168026 + ], + [ + 61643262, + 51404812 + ], + [ + 58604804, + 56220622 + ], + [ + 20951253, + 24478078 + ], + [ + 52258568, + 37104277 + ], + [ + 30252921, + 78617844 + ], + [ + 45265812, + 46316896 + ], + [ + 44416019, + 11063400 + ], + [ + 89950144, + 27194116 + ], + [ + 11669653, + 37286338 + ], + [ + 72432837, + 821842 + ], + [ + 42087800, + 31332370 + ], + [ + 53863212, + 12666862 + ], + [ + 68813927, + 34677271 + ], + [ + 65156316, + 10894900 + ], + [ + 65623044, + 50302875 + ], + [ + 92162731, + 35949460 + ], + [ + 30035196, + 10134771 + ], + [ + 9663942, + 59087377 + ], + [ + 97088007, + 5732082 + ], + [ + 31698621, + 74449144 + ], + [ + 13514858, + 27631476 + ], + [ + 2096680, + 70990466 + ], + [ + 62444119, + 25654145 + ], + [ + 94733342, + 65781327 + ], + [ + 13937295, + 17404545 + ], + [ + 94180113, + 57161393 + ], + [ + 76615825, + 30282469 + ], + [ + 67798781, + 24728815 + ], + [ + 68946581, + 20003160 + ], + [ + 59483792, + 77515453 + ], + [ + 76461273, + 92098755 + ], + [ + 81425079, + 86934136 + ], + [ + 34342403, + 84748261 + ], + [ + 76315862, + 26505935 + ], + [ + 84819973, + 52550108 + ], + [ + 18089698, + 41465310 + ], + [ + 4126750, + 80471414 + ], + [ + 62461267, + 37663345 + ], + [ + 97483022, + 65608274 + ], + [ + 90271706, + 73447093 + ], + [ + 57948032, + 70242403 + ], + [ + 19998943, + 82695691 + ], + [ + 23693580, + 68692670 + ], + [ + 60936338, + 47776497 + ], + [ + 4918563, + 78307668 + ], + [ + 78248002, + 69151966 + ], + [ + 75173359, + 64555974 + ], + [ + 99900283, + 72036455 + ], + [ + 94534067, + 36938607 + ], + [ + 13440100, + 65383569 + ], + [ + 48219907, + 77208624 + ], + [ + 65063713, + 72121887 + ], + [ + 21511259, + 87255798 + ], + [ + 24251153, + 19949150 + ], + [ + 68949977, + 83774878 + ], + [ + 85020796, + 17124567 + ], + [ + 88484255, + 1000247 + ], + [ + 17264770, + 28217943 + ], + [ + 21748797, + 99462920 + ], + [ + 87313772, + 91466069 + ], + [ + 93938740, + 39832613 + ], + [ + 56621333, + 45101757 + ], + [ + 18324185, + 82373026 + ], + [ + 50752091, + 46868562 + ], + [ + 18822452, + 16423314 + ], + [ + 18671367, + 8635038 + ], + [ + 10167603, + 49759827 + ], + [ + 36707715, + 50862362 + ], + [ + 83865223, + 52206834 + ], + [ + 47582863, + 42532095 + ], + [ + 79426096, + 29502848 + ], + [ + 42499904, + 7711892 + ], + [ + 81754698, + 86663511 + ], + [ + 88729849, + 37241710 + ], + [ + 57975536, + 94381965 + ], + [ + 47547865, + 71749790 + ], + [ + 64047957, + 62976705 + ], + [ + 40294646, + 40292978 + ], + [ + 29403860, + 55381295 + ], + [ + 74894553, + 70257537 + ], + [ + 84513099, + 16098572 + ], + [ + 88064997, + 73074970 + ], + [ + 73056239, + 61014440 + ], + [ + 41394244, + 93821473 + ], + [ + 6284663, + 1151477 + ], + [ + 11584370, + 891885 + ], + [ + 11073338, + 29117486 + ], + [ + 47465387, + 26708694 + ], + [ + 941681, + 39514538 + ], + [ + 50922349, + 9002255 + ], + [ + 26016649, + 70959411 + ], + [ + 19764743, + 95081555 + ], + [ + 22705269, + 38681929 + ], + [ + 73223648, + 50511926 + ], + [ + 61484980, + 69378522 + ], + [ + 145785, + 58992982 + ], + [ + 57026076, + 16582633 + ], + [ + 49934678, + 18631289 + ], + [ + 49133327, + 90872482 + ], + [ + 56109456, + 55322052 + ], + [ + 78164699, + 66105769 + ], + [ + 6739429, + 48071749 + ], + [ + 80365756, + 15510328 + ], + [ + 38191061, + 71928957 + ], + [ + 7962781, + 79866462 + ], + [ + 62846252, + 34441716 + ], + [ + 82239387, + 12768916 + ], + [ + 77412342, + 23688282 + ], + [ + 18972316, + 95024612 + ], + [ + 163771, + 53342408 + ], + [ + 61114255, + 37894935 + ], + [ + 57893158, + 84810092 + ], + [ + 23184927, + 22941999 + ], + [ + 60236651, + 52155457 + ], + [ + 7248345, + 185588 + ], + [ + 61249268, + 23171598 + ], + [ + 35739172, + 28347470 + ], + [ + 14500442, + 59388317 + ], + [ + 82043692, + 19710112 + ], + [ + 76830733, + 29962699 + ], + [ + 35060073, + 27032318 + ], + [ + 98206365, + 91021867 + ], + [ + 99655283, + 3379460 + ], + [ + 63816028, + 20372834 + ], + [ + 77351665, + 78464920 + ], + [ + 4407664, + 60512407 + ], + [ + 21778501, + 51599921 + ], + [ + 48575559, + 71879118 + ], + [ + 2071148, + 95796352 + ], + [ + 9406642, + 36649464 + ], + [ + 35578049, + 78734217 + ], + [ + 49078569, + 34351430 + ], + [ + 37635060, + 85364410 + ], + [ + 99961274, + 81445774 + ], + [ + 19661746, + 91878446 + ], + [ + 89537431, + 69545530 + ], + [ + 81069647, + 56589593 + ], + [ + 99626528, + 76184942 + ], + [ + 23601215, + 68356561 + ], + [ + 79724245, + 5157369 + ], + [ + 56365451, + 5562679 + ], + [ + 7837020, + 56319769 + ], + [ + 61474626, + 68862844 + ], + [ + 54735608, + 24758832 + ], + [ + 58530307, + 8192950 + ], + [ + 12578668, + 57659173 + ], + [ + 1975839, + 1876144 + ], + [ + 13750496, + 50238331 + ], + [ + 76450740, + 90228640 + ], + [ + 4787839, + 1212558 + ], + [ + 32414429, + 98852045 + ], + [ + 81972293, + 90694128 + ], + [ + 74533899, + 60929538 + ], + [ + 79383727, + 285042 + ], + [ + 18839182, + 53113865 + ], + [ + 33867968, + 9739657 + ], + [ + 22801588, + 7177317 + ], + [ + 2362385, + 93291594 + ], + [ + 17861288, + 12324707 + ], + [ + 39999724, + 77406575 + ], + [ + 95323125, + 91775183 + ], + [ + 68886897, + 94994233 + ], + [ + 18466794, + 94469472 + ], + [ + 77751897, + 12110700 + ], + [ + 51079568, + 43740193 + ], + [ + 92151737, + 12962591 + ], + [ + 23102869, + 85436355 + ], + [ + 15173925, + 13319740 + ], + [ + 45140833, + 69965150 + ], + [ + 17217102, + 39273708 + ], + [ + 86861312, + 8980751 + ], + [ + 61218101, + 86655699 + ], + [ + 84158286, + 62672760 + ], + [ + 62627761, + 80597374 + ], + [ + 28470500, + 55121477 + ], + [ + 6858436, + 96893142 + ], + [ + 3194132, + 39513662 + ], + [ + 65312200, + 7532442 + ], + [ + 48232807, + 50874753 + ], + [ + 8274911, + 95119275 + ], + [ + 92315027, + 51937038 + ], + [ + 25196536, + 50999667 + ], + [ + 851927, + 7280177 + ], + [ + 50096361, + 44982677 + ], + [ + 35626130, + 10576852 + ], + [ + 82616751, + 44010105 + ], + [ + 91817985, + 93885143 + ], + [ + 14300706, + 47414975 + ], + [ + 42675073, + 67953894 + ], + [ + 97398973, + 56621990 + ], + [ + 89195439, + 42457739 + ], + [ + 15589042, + 572299 + ], + [ + 6769150, + 73615479 + ], + [ + 55510903, + 85441514 + ], + [ + 51693406, + 30226690 + ], + [ + 23745613, + 39420236 + ], + [ + 44170513, + 26169652 + ], + [ + 84300645, + 17327840 + ], + [ + 93797867, + 83126555 + ], + [ + 81465495, + 32833569 + ], + [ + 10790876, + 10810642 + ], + [ + 87514227, + 46964349 + ], + [ + 64633769, + 16958897 + ], + [ + 12894909, + 88241252 + ], + [ + 31032006, + 54176134 + ], + [ + 11044154, + 73803288 + ], + [ + 83154770, + 83928809 + ], + [ + 51565230, + 89119179 + ], + [ + 26557617, + 93410817 + ], + [ + 12602193, + 57371558 + ], + [ + 86201787, + 71569222 + ], + [ + 28341566, + 93614624 + ], + [ + 77137062, + 77196390 + ], + [ + 39762373, + 95183546 + ], + [ + 5426213, + 81075645 + ], + [ + 91495548, + 71231298 + ], + [ + 89020933, + 94519220 + ], + [ + 47503044, + 79338290 + ], + [ + 97217734, + 82210006 + ], + [ + 73070481, + 54009323 + ], + [ + 52326618, + 49664150 + ], + [ + 39689700, + 9373261 + ], + [ + 14352000, + 56417483 + ], + [ + 83988603, + 94126777 + ], + [ + 74127107, + 74216484 + ], + [ + 21575937, + 30677319 + ], + [ + 17976543, + 24063462 + ], + [ + 74114043, + 43150888 + ], + [ + 13516198, + 5555954 + ], + [ + 37588813, + 68347622 + ], + [ + 79715812, + 92155241 + ], + [ + 15803124, + 48925925 + ], + [ + 40881836, + 40143652 + ], + [ + 88168402, + 71469585 + ], + [ + 240095, + 26374186 + ], + [ + 9397640, + 59508270 + ], + [ + 80803697, + 39078886 + ], + [ + 15286472, + 36493578 + ], + [ + 31768232, + 21393378 + ], + [ + 90528275, + 36165105 + ], + [ + 91078246, + 26004833 + ], + [ + 26083990, + 48468025 + ], + [ + 18501186, + 41595595 + ], + [ + 64594877, + 71994407 + ], + [ + 43527344, + 59358453 + ], + [ + 23123028, + 85507739 + ], + [ + 74793310, + 77888933 + ], + [ + 64653716, + 45715299 + ], + [ + 5049964, + 25381680 + ], + [ + 72137190, + 75607247 + ], + [ + 85184547, + 14434310 + ], + [ + 80289603, + 67008557 + ], + [ + 23211777, + 24475330 + ], + [ + 77791838, + 5963213 + ], + [ + 61113431, + 602371 + ], + [ + 88612666, + 74245454 + ], + [ + 73757095, + 3399692 + ], + [ + 78723167, + 14467172 + ], + [ + 42988007, + 35301106 + ], + [ + 82493019, + 90146286 + ], + [ + 42912661, + 28497956 + ], + [ + 97730546, + 13191299 + ], + [ + 26520361, + 2266439 + ], + [ + 28229808, + 13747652 + ], + [ + 45593266, + 50828400 + ], + [ + 57702071, + 36017448 + ], + [ + 90014601, + 81593482 + ], + [ + 88527314, + 2051947 + ], + [ + 14151555, + 41028788 + ], + [ + 55437492, + 4307186 + ], + [ + 24660705, + 59559410 + ], + [ + 78339766, + 13620038 + ], + [ + 30485198, + 77381169 + ], + [ + 4361924, + 61652550 + ], + [ + 57739660, + 99112605 + ], + [ + 70196257, + 58131501 + ], + [ + 73999929, + 99098362 + ], + [ + 63445153, + 30326703 + ], + [ + 54166899, + 44562931 + ], + [ + 95961556, + 40282794 + ], + [ + 5142748, + 21808499 + ], + [ + 57080789, + 16311354 + ], + [ + 70443419, + 90374716 + ], + [ + 32043160, + 26401176 + ], + [ + 35433889, + 50549784 + ], + [ + 91983407, + 56274770 + ], + [ + 26672917, + 38605341 + ], + [ + 23882795, + 14667883 + ], + [ + 48269549, + 59561162 + ], + [ + 89845828, + 57404554 + ], + [ + 61558613, + 28121500 + ], + [ + 10128122, + 53599472 + ], + [ + 79387313, + 14921220 + ], + [ + 35081901, + 76966631 + ], + [ + 77248193, + 6211525 + ], + [ + 27489864, + 69955613 + ], + [ + 69992117, + 7589212 + ], + [ + 43288172, + 33585756 + ], + [ + 24080290, + 30366100 + ], + [ + 92672592, + 44883912 + ], + [ + 89816071, + 32013954 + ], + [ + 79208078, + 5897107 + ], + [ + 62655221, + 5976 + ], + [ + 51497961, + 94078885 + ], + [ + 47499841, + 95286793 + ], + [ + 2258404, + 88864363 + ], + [ + 46799414, + 9119026 + ], + [ + 76792048, + 56200487 + ], + [ + 55752060, + 96033654 + ], + [ + 2324766, + 40980379 + ], + [ + 82155200, + 90843983 + ], + [ + 51371587, + 45948622 + ], + [ + 60715201, + 79615898 + ], + [ + 2611532, + 32248151 + ], + [ + 2619252, + 79128081 + ], + [ + 29557495, + 55091374 + ], + [ + 95194561, + 1423669 + ], + [ + 75662464, + 6403545 + ], + [ + 89289671, + 91570048 + ], + [ + 732398, + 86202794 + ], + [ + 2275400, + 58338063 + ], + [ + 10845401, + 9544553 + ], + [ + 49287466, + 28559747 + ], + [ + 31843484, + 70743938 + ], + [ + 99061450, + 46729876 + ], + [ + 20268232, + 60584648 + ], + [ + 61905378, + 32129818 + ], + [ + 31065480, + 13330376 + ], + [ + 80015237, + 88064451 + ], + [ + 63452840, + 91624623 + ], + [ + 34086370, + 54572693 + ], + [ + 27078378, + 81226649 + ], + [ + 66310652, + 29177178 + ], + [ + 10532576, + 48552547 + ], + [ + 36472037, + 91324372 + ], + [ + 50718646, + 89667906 + ], + [ + 14443993, + 8048733 + ], + [ + 32061648, + 72949029 + ], + [ + 98179049, + 12988127 + ], + [ + 32858496, + 55873294 + ], + [ + 67681274, + 67517502 + ], + [ + 47836205, + 38962793 + ], + [ + 52811828, + 74413074 + ], + [ + 20920161, + 49380755 + ], + [ + 80081699, + 52728035 + ], + [ + 30630607, + 72650605 + ], + [ + 41164348, + 14471599 + ], + [ + 32664559, + 66715407 + ], + [ + 60490407, + 67594481 + ], + [ + 59397761, + 70948310 + ], + [ + 15360681, + 62132282 + ], + [ + 13007497, + 95187117 + ], + [ + 21760445, + 32622790 + ], + [ + 89463797, + 97374084 + ], + [ + 2250772, + 67846581 + ], + [ + 53802652, + 43739092 + ], + [ + 74666540, + 46422600 + ], + [ + 19484379, + 58711633 + ], + [ + 86654293, + 21922305 + ], + [ + 61578932, + 43863316 + ], + [ + 84281021, + 72652967 + ], + [ + 40009126, + 54649910 + ], + [ + 72384973, + 28705931 + ], + [ + 1056978, + 57258016 + ], + [ + 88365486, + 9961968 + ], + [ + 487863, + 5509627 + ], + [ + 10524875, + 22277736 + ], + [ + 11147560, + 8084623 + ], + [ + 50004990, + 28844007 + ], + [ + 94419744, + 50639478 + ], + [ + 43955939, + 19702718 + ], + [ + 2461079, + 43174196 + ], + [ + 2162708, + 73094452 + ], + [ + 86949408, + 93234091 + ], + [ + 2694304, + 54183775 + ], + [ + 13183886, + 41296754 + ], + [ + 4506844, + 9528093 + ], + [ + 84651986, + 70099325 + ], + [ + 17055224, + 18541547 + ], + [ + 9074163, + 60730903 + ], + [ + 89048157, + 98445969 + ], + [ + 2128690, + 58912045 + ], + [ + 73045095, + 15591962 + ], + [ + 22037218, + 77877762 + ], + [ + 95592889, + 81424852 + ], + [ + 19372518, + 49672006 + ], + [ + 57573288, + 83549122 + ], + [ + 33542812, + 43110391 + ], + [ + 60666476, + 40219782 + ], + [ + 89710942, + 74126678 + ], + [ + 72935053, + 46431568 + ], + [ + 82163439, + 60776339 + ], + [ + 60707349, + 26532910 + ], + [ + 99296598, + 37107888 + ], + [ + 53441029, + 79736873 + ], + [ + 74483710, + 28652903 + ], + [ + 46005326, + 61004053 + ], + [ + 69271200, + 11956181 + ], + [ + 31213529, + 89695967 + ], + [ + 89402121, + 98999695 + ], + [ + 54955622, + 79722255 + ], + [ + 29136378, + 98333618 + ], + [ + 72677840, + 88427050 + ], + [ + 9381713, + 80361801 + ], + [ + 30114316, + 13184285 + ], + [ + 28373308, + 38816481 + ], + [ + 39130815, + 7489034 + ], + [ + 39665541, + 35531388 + ], + [ + 46215585, + 41034310 + ], + [ + 86264830, + 80028154 + ], + [ + 92371358, + 29257094 + ], + [ + 29434848, + 67244062 + ], + [ + 36881214, + 44808974 + ], + [ + 7153477, + 43031429 + ], + [ + 82863907, + 73182718 + ], + [ + 21975797, + 21495525 + ], + [ + 51331899, + 25877167 + ], + [ + 99271110, + 17129781 + ], + [ + 65926492, + 73504261 + ], + [ + 32031900, + 72637529 + ], + [ + 32635071, + 58681277 + ], + [ + 33106866, + 4441954 + ], + [ + 72911287, + 87094246 + ], + [ + 91798508, + 39781796 + ], + [ + 38099917, + 66216905 + ], + [ + 19255010, + 15454313 + ], + [ + 42355364, + 14525279 + ], + [ + 5039073, + 84814832 + ], + [ + 20028101, + 52876440 + ], + [ + 99481326, + 78825514 + ], + [ + 44896261, + 36415269 + ], + [ + 12384690, + 42824506 + ], + [ + 21011938, + 97117222 + ], + [ + 30701320, + 19272275 + ], + [ + 88262869, + 79474641 + ], + [ + 70915787, + 4713541 + ], + [ + 21631699, + 92926983 + ], + [ + 3361186, + 37179582 + ], + [ + 45154468, + 94166139 + ], + [ + 25722224, + 73245015 + ], + [ + 55688252, + 93696091 + ], + [ + 50229136, + 98568065 + ], + [ + 93773222, + 46072091 + ], + [ + 41285492, + 52736981 + ], + [ + 32606449, + 73019552 + ], + [ + 22389743, + 21090900 + ], + [ + 82692847, + 19636069 + ], + [ + 11940911, + 44378322 + ], + [ + 9259397, + 98358039 + ], + [ + 26830847, + 31173874 + ], + [ + 30073766, + 77041902 + ], + [ + 34307139, + 97079054 + ], + [ + 96170701, + 5539646 + ], + [ + 58164942, + 47856438 + ], + [ + 80679654, + 44868847 + ], + [ + 17867106, + 20576588 + ], + [ + 64555654, + 99793883 + ], + [ + 35427667, + 19091225 + ], + [ + 23059369, + 15093602 + ], + [ + 79028968, + 13842069 + ], + [ + 87249182, + 33055307 + ], + [ + 96050251, + 41948225 + ], + [ + 25647505, + 14733616 + ], + [ + 59424898, + 78720024 + ], + [ + 97734429, + 79888006 + ], + [ + 49269915, + 19638562 + ], + [ + 92825624, + 46901502 + ], + [ + 40854938, + 34360961 + ], + [ + 6047519, + 45779447 + ], + [ + 19253004, + 80561010 + ], + [ + 23422277, + 94888707 + ], + [ + 89847058, + 35104754 + ], + [ + 31598541, + 93075579 + ], + [ + 13923906, + 32803137 + ], + [ + 95401468, + 30498737 + ], + [ + 84026640, + 39832 + ], + [ + 89366329, + 57718884 + ], + [ + 31719095, + 85053635 + ], + [ + 31095331, + 90362756 + ], + [ + 11986621, + 59731351 + ], + [ + 28695771, + 11268333 + ], + [ + 69148317, + 10104395 + ], + [ + 28304260, + 42965704 + ], + [ + 45070675, + 60391575 + ], + [ + 40851405, + 80554297 + ], + [ + 36630483, + 54142767 + ], + [ + 26727418, + 1989950 + ], + [ + 71858477, + 66272772 + ], + [ + 51410206, + 38150809 + ], + [ + 7894022, + 97760497 + ], + [ + 37449379, + 70770093 + ], + [ + 19111453, + 1331581 + ], + [ + 30470513, + 58707047 + ], + [ + 1128638, + 75714400 + ], + [ + 63519200, + 8192932 + ], + [ + 72189767, + 99866049 + ], + [ + 53710974, + 59502424 + ], + [ + 17065556, + 28723521 + ], + [ + 57232668, + 79464086 + ], + [ + 42311753, + 81830379 + ], + [ + 45035180, + 30537183 + ], + [ + 97855129, + 75485255 + ], + [ + 70579608, + 12816689 + ], + [ + 11993045, + 63373137 + ], + [ + 94044007, + 96357596 + ], + [ + 44760954, + 31957492 + ], + [ + 23338006, + 74399288 + ], + [ + 40742176, + 42956072 + ], + [ + 3668324, + 44103378 + ], + [ + 89459383, + 93488733 + ], + [ + 83494827, + 41166473 + ], + [ + 44435336, + 17115854 + ], + [ + 75095653, + 62817785 + ], + [ + 38115901, + 47306195 + ], + [ + 35580823, + 93631239 + ], + [ + 31817072, + 35301137 + ], + [ + 43331192, + 85840498 + ], + [ + 87743403, + 82549611 + ], + [ + 76553348, + 22827107 + ], + [ + 68236229, + 77343800 + ], + [ + 41616824, + 46633774 + ], + [ + 23902798, + 28491711 + ], + [ + 86570170, + 99254013 + ], + [ + 93586800, + 79065938 + ], + [ + 98420202, + 28508561 + ], + [ + 52183243, + 25495215 + ], + [ + 27392416, + 8213173 + ], + [ + 93421320, + 85815989 + ], + [ + 73445259, + 97652665 + ], + [ + 3154473, + 78982251 + ], + [ + 60660462, + 52595232 + ], + [ + 1416550, + 49015562 + ], + [ + 73022338, + 57238360 + ], + [ + 15434938, + 32618992 + ], + [ + 81534901, + 2962621 + ], + [ + 22981285, + 34597276 + ], + [ + 44576888, + 54208883 + ], + [ + 58619219, + 55083650 + ], + [ + 42868189, + 60663516 + ], + [ + 22575119, + 77836840 + ], + [ + 61548129, + 92670014 + ], + [ + 56021544, + 7432734 + ], + [ + 97402902, + 89160132 + ], + [ + 64857915, + 42489858 + ], + [ + 23838335, + 17787212 + ], + [ + 7922236, + 69189669 + ], + [ + 47103121, + 52005777 + ], + [ + 41758563, + 75363111 + ], + [ + 62481678, + 46169143 + ], + [ + 3220386, + 63565043 + ], + [ + 21131766, + 78218611 + ], + [ + 21930786, + 26766787 + ], + [ + 59512175, + 79715688 + ], + [ + 66449844, + 83526725 + ], + [ + 1071105, + 74945781 + ], + [ + 38196304, + 79657384 + ], + [ + 68460578, + 95750974 + ], + [ + 65888320, + 4406336 + ], + [ + 44292469, + 95533900 + ], + [ + 46214636, + 86046945 + ], + [ + 79535664, + 29697415 + ], + [ + 93581173, + 95138509 + ], + [ + 4203717, + 10246292 + ], + [ + 3024204, + 53757204 + ], + [ + 62935409, + 49488063 + ], + [ + 58350787, + 67748857 + ], + [ + 42954136, + 64424787 + ], + [ + 21426994, + 59510877 + ], + [ + 39245185, + 7793835 + ], + [ + 95006784, + 43597812 + ], + [ + 90429439, + 28772031 + ], + [ + 83801630, + 34412122 + ], + [ + 77438202, + 73081747 + ], + [ + 600432, + 61567303 + ], + [ + 47986740, + 47309237 + ], + [ + 6420611, + 7239958 + ], + [ + 36543562, + 11238244 + ], + [ + 85080557, + 75186073 + ], + [ + 30468003, + 4033401 + ], + [ + 83439013, + 92763653 + ], + [ + 85981024, + 13093859 + ], + [ + 46908726, + 51644330 + ], + [ + 11992237, + 92140589 + ], + [ + 96801980, + 12374072 + ], + [ + 57841316, + 51893077 + ], + [ + 69313313, + 13999885 + ], + [ + 28934327, + 81577497 + ], + [ + 47237051, + 48924737 + ], + [ + 75424631, + 23313651 + ], + [ + 84996735, + 16530097 + ], + [ + 3952990, + 49432582 + ], + [ + 71333627, + 44198624 + ], + [ + 56977422, + 7947896 + ], + [ + 72010856, + 18432730 + ], + [ + 7193908, + 91876978 + ], + [ + 86958791, + 51586218 + ], + [ + 63819212, + 54291926 + ], + [ + 62309177, + 51636888 + ], + [ + 85340781, + 42598168 + ], + [ + 72955493, + 66234642 + ], + [ + 44058160, + 40947641 + ], + [ + 78432248, + 73907577 + ], + [ + 4013666, + 57853719 + ], + [ + 19388923, + 36153660 + ], + [ + 38483468, + 96765221 + ], + [ + 66891657, + 56737986 + ], + [ + 67308817, + 53720269 + ], + [ + 67182100, + 97427917 + ], + [ + 16601514, + 22523684 + ], + [ + 51402645, + 9842492 + ], + [ + 44061120, + 36490784 + ], + [ + 96413476, + 85871528 + ], + [ + 44619236, + 6330191 + ], + [ + 84765766, + 96004146 + ], + [ + 78799124, + 68469921 + ], + [ + 3825183, + 7213034 + ], + [ + 88336562, + 45709256 + ], + [ + 91943214, + 56053706 + ], + [ + 63930436, + 75364220 + ], + [ + 1629997, + 25178656 + ], + [ + 87725578, + 57228057 + ], + [ + 93935680, + 49221235 + ], + [ + 5624818, + 32382110 + ], + [ + 38889317, + 16526620 + ], + [ + 35145961, + 40079156 + ], + [ + 27795426, + 48540563 + ], + [ + 43929144, + 73133822 + ], + [ + 68637396, + 31672941 + ], + [ + 44846854, + 43242350 + ], + [ + 8475627, + 20093715 + ], + [ + 60514221, + 45002406 + ], + [ + 94779113, + 24438536 + ], + [ + 41451903, + 66382499 + ], + [ + 4330819, + 42361948 + ], + [ + 9414954, + 63842143 + ], + [ + 40267037, + 76209737 + ], + [ + 84416470, + 72320882 + ], + [ + 44442433, + 65186807 + ], + [ + 83434506, + 4932322 + ], + [ + 90504447, + 56669159 + ], + [ + 6815313, + 64866667 + ], + [ + 27937449, + 78291270 + ], + [ + 55825125, + 53159228 + ], + [ + 98333601, + 14154695 + ], + [ + 28496803, + 4994644 + ], + [ + 95319872, + 76481768 + ], + [ + 31256732, + 87367454 + ], + [ + 64544664, + 64410311 + ], + [ + 10633808, + 92349891 + ], + [ + 24655138, + 40033393 + ], + [ + 81865813, + 96609482 + ], + [ + 87424475, + 65055427 + ], + [ + 66427071, + 87210030 + ], + [ + 81295130, + 1429890 + ], + [ + 32782403, + 73605973 + ], + [ + 5616891, + 45694385 + ], + [ + 71725790, + 95103327 + ], + [ + 26564598, + 55111126 + ], + [ + 66580810, + 6698976 + ], + [ + 27092829, + 27098503 + ], + [ + 31671988, + 17903536 + ], + [ + 41191114, + 41738521 + ], + [ + 598907, + 53230768 + ], + [ + 58091782, + 71035461 + ], + [ + 9749754, + 91415458 + ], + [ + 53779423, + 77816150 + ], + [ + 27836113, + 24843624 + ], + [ + 64983879, + 89996651 + ], + [ + 93889396, + 38857961 + ], + [ + 68503294, + 29367306 + ], + [ + 56149585, + 73264890 + ], + [ + 8885810, + 94584536 + ], + [ + 91349062, + 77577327 + ], + [ + 65577948, + 39090221 + ], + [ + 81179008, + 1500487 + ], + [ + 76504764, + 24465 + ], + [ + 82299572, + 50582345 + ], + [ + 46284613, + 26974728 + ], + [ + 58149310, + 79439818 + ], + [ + 75384593, + 41872502 + ], + [ + 9172060, + 22988895 + ], + [ + 66670099, + 17877694 + ], + [ + 85188550, + 33116661 + ], + [ + 73209934, + 87336305 + ], + [ + 49147644, + 31326724 + ], + [ + 28025119, + 79697339 + ], + [ + 12949619, + 65156336 + ], + [ + 40139762, + 6262615 + ], + [ + 68344079, + 39910236 + ], + [ + 65206109, + 22282273 + ], + [ + 61480591, + 6393962 + ], + [ + 86486904, + 59220115 + ], + [ + 70426706, + 11556343 + ], + [ + 4703591, + 11993894 + ], + [ + 50043679, + 43867101 + ], + [ + 92455343, + 13899202 + ], + [ + 66923518, + 5803601 + ], + [ + 98574236, + 65122275 + ], + [ + 46181113, + 77223765 + ], + [ + 16576212, + 57620109 + ], + [ + 9854609, + 85370386 + ], + [ + 17187604, + 60107933 + ], + [ + 25060063, + 10535931 + ], + [ + 16397899, + 22296372 + ], + [ + 47627378, + 52698625 + ], + [ + 82943226, + 49985585 + ], + [ + 8950665, + 25995092 + ], + [ + 89756476, + 70052361 + ], + [ + 34545530, + 56070577 + ], + [ + 50765314, + 64962194 + ], + [ + 92119686, + 79170505 + ], + [ + 92680523, + 29004364 + ], + [ + 90463477, + 42107451 + ], + [ + 43187664, + 95884290 + ], + [ + 20704830, + 54135033 + ], + [ + 33533908, + 60499633 + ], + [ + 36453153, + 35230547 + ], + [ + 80844103, + 53655824 + ], + [ + 58762052, + 76573576 + ], + [ + 19311137, + 56071630 + ], + [ + 30558629, + 94795808 + ], + [ + 59677068, + 30170434 + ], + [ + 64151620, + 77255233 + ], + [ + 2715359, + 27366941 + ], + [ + 88922947, + 48830292 + ], + [ + 76029919, + 84082081 + ], + [ + 34863079, + 8201841 + ], + [ + 16477788, + 99335379 + ], + [ + 35287743, + 336101 + ], + [ + 58959839, + 7423827 + ], + [ + 85902835, + 31133219 + ], + [ + 50295970, + 20705831 + ], + [ + 79036867, + 26911123 + ], + [ + 63295587, + 40486366 + ], + [ + 90038896, + 40150050 + ], + [ + 81492699, + 11237867 + ], + [ + 89767274, + 78260980 + ], + [ + 68800704, + 50995506 + ], + [ + 8037462, + 72512302 + ], + [ + 74443088, + 93519099 + ], + [ + 74289207, + 27918258 + ], + [ + 52153704, + 6880501 + ], + [ + 85371058, + 35798599 + ], + [ + 49221156, + 5864367 + ], + [ + 76410626, + 21454731 + ], + [ + 26321795, + 97004791 + ], + [ + 43641753, + 20516388 + ], + [ + 95125913, + 35776816 + ], + [ + 89008488, + 87984705 + ], + [ + 55530033, + 28256057 + ], + [ + 11089729, + 41436366 + ], + [ + 36644103, + 78207961 + ], + [ + 96272279, + 83726403 + ], + [ + 16147005, + 447564 + ], + [ + 94410656, + 24040866 + ], + [ + 65953205, + 13681219 + ], + [ + 47727716, + 30093816 + ], + [ + 45565604, + 49850760 + ], + [ + 76653747, + 13609068 + ], + [ + 58900618, + 79457148 + ], + [ + 84008497, + 79641415 + ], + [ + 3683695, + 47720590 + ], + [ + 27703012, + 28885328 + ], + [ + 82746516, + 17371828 + ], + [ + 81620073, + 97380593 + ], + [ + 34075974, + 38946868 + ], + [ + 70568676, + 17853708 + ], + [ + 63571724, + 32209089 + ], + [ + 2005938, + 71490091 + ], + [ + 23673520, + 67122680 + ], + [ + 10229497, + 23772913 + ], + [ + 94522618, + 39301466 + ], + [ + 93354943, + 30220491 + ], + [ + 16286709, + 61395776 + ], + [ + 45749578, + 58682153 + ], + [ + 73450866, + 28818331 + ], + [ + 32231678, + 69385592 + ], + [ + 75768834, + 2963374 + ], + [ + 40250306, + 69423340 + ], + [ + 20404611, + 74088607 + ], + [ + 21950440, + 61900294 + ], + [ + 23781487, + 17651287 + ], + [ + 3226526, + 8373833 + ], + [ + 63618818, + 41766375 + ], + [ + 94019615, + 453534 + ], + [ + 91245239, + 2371275 + ], + [ + 56136633, + 82833076 + ], + [ + 4965196, + 9684522 + ], + [ + 15892983, + 14114696 + ], + [ + 8684047, + 18107871 + ], + [ + 53765031, + 39867528 + ], + [ + 23549426, + 95666563 + ], + [ + 67031055, + 45215878 + ], + [ + 86210098, + 28338482 + ], + [ + 96710602, + 22704086 + ], + [ + 44932524, + 71798535 + ], + [ + 82744251, + 81362948 + ], + [ + 11249241, + 59634829 + ], + [ + 67362883, + 44136885 + ], + [ + 98086327, + 50513776 + ], + [ + 6038228, + 45828792 + ], + [ + 5793303, + 75836769 + ], + [ + 84448910, + 77908935 + ], + [ + 71461554, + 21780167 + ], + [ + 52027874, + 26275822 + ], + [ + 92241570, + 72713398 + ], + [ + 36619404, + 87395722 + ], + [ + 45415311, + 28396642 + ], + [ + 76517239, + 7112590 + ], + [ + 53807154, + 47879438 + ], + [ + 7368141, + 23681881 + ], + [ + 18702302, + 25929615 + ], + [ + 69642125, + 47536833 + ], + [ + 15065135, + 89661455 + ], + [ + 48580236, + 12095502 + ], + [ + 44294356, + 99469097 + ], + [ + 26303653, + 13339231 + ], + [ + 82696098, + 59943435 + ], + [ + 97587021, + 46970336 + ], + [ + 51987870, + 93251177 + ], + [ + 92809491, + 8051327 + ], + [ + 58014467, + 94298963 + ], + [ + 58025896, + 17772989 + ], + [ + 99819302, + 31137793 + ], + [ + 64080422, + 77202890 + ], + [ + 21078043, + 37243237 + ], + [ + 84208768, + 64858213 + ], + [ + 49341203, + 77137931 + ], + [ + 56869937, + 15049199 + ], + [ + 5794115, + 4087615 + ], + [ + 16364814, + 36447428 + ], + [ + 32876180, + 21764023 + ], + [ + 91421273, + 88580735 + ], + [ + 34841507, + 17392180 + ], + [ + 59659694, + 8968977 + ], + [ + 51948720, + 37956428 + ], + [ + 42636244, + 61664481 + ], + [ + 80079222, + 2334968 + ], + [ + 57051788, + 4977262 + ], + [ + 32419081, + 36186314 + ], + [ + 95894571, + 40267658 + ], + [ + 64955102, + 52620959 + ], + [ + 54472326, + 49706756 + ], + [ + 50179516, + 16887621 + ], + [ + 7278995, + 40091979 + ], + [ + 47752054, + 27393777 + ], + [ + 23195645, + 55299817 + ], + [ + 45534487, + 89523486 + ], + [ + 33929531, + 83947316 + ], + [ + 82189805, + 19006033 + ], + [ + 66399497, + 65494853 + ], + [ + 66138610, + 98689710 + ], + [ + 13888801, + 32619632 + ], + [ + 56435666, + 84967893 + ], + [ + 59116987, + 37673012 + ], + [ + 80408618, + 64780614 + ], + [ + 18170095, + 8082666 + ], + [ + 1384157, + 59775723 + ], + [ + 10415282, + 14184971 + ], + [ + 74678310, + 70430619 + ], + [ + 89333534, + 66120452 + ], + [ + 70350134, + 99870187 + ], + [ + 76399132, + 55284863 + ], + [ + 8344511, + 57179022 + ], + [ + 85942159, + 2708720 + ], + [ + 76604922, + 83653039 + ], + [ + 53932363, + 78271719 + ], + [ + 61625515, + 37915112 + ], + [ + 10114197, + 87462667 + ], + [ + 8785354, + 23106530 + ], + [ + 89594052, + 77181858 + ], + [ + 4763940, + 97920780 + ], + [ + 30149686, + 32576197 + ], + [ + 49333857, + 13121859 + ], + [ + 4665520, + 9391264 + ], + [ + 49815226, + 81281253 + ], + [ + 398717, + 30896973 + ], + [ + 64320291, + 59499489 + ], + [ + 146498, + 62002376 + ], + [ + 375809, + 3480085 + ], + [ + 45202376, + 92582020 + ], + [ + 2602011, + 11760799 + ], + [ + 17174851, + 69770097 + ], + [ + 76712729, + 85366826 + ], + [ + 37149211, + 39902257 + ], + [ + 50321512, + 37909197 + ], + [ + 90777140, + 26828299 + ], + [ + 94772496, + 90422470 + ], + [ + 86016737, + 86919587 + ], + [ + 95777455, + 23379964 + ], + [ + 21743788, + 22974123 + ], + [ + 59390719, + 7796145 + ], + [ + 80751870, + 90657662 + ], + [ + 7754131, + 14121438 + ], + [ + 30902304, + 83381785 + ], + [ + 78140661, + 67966310 + ], + [ + 85059560, + 9912948 + ], + [ + 70382173, + 70339702 + ], + [ + 38346588, + 16796928 + ], + [ + 21116826, + 94791414 + ], + [ + 26203449, + 20633041 + ], + [ + 56242329, + 25290926 + ], + [ + 52143387, + 72974481 + ], + [ + 1502913, + 14836741 + ], + [ + 615526, + 61413086 + ], + [ + 66130087, + 64011937 + ], + [ + 84954520, + 95520468 + ], + [ + 21665403, + 65912997 + ], + [ + 37514193, + 37800612 + ], + [ + 72055614, + 93493389 + ], + [ + 37458582, + 71667622 + ], + [ + 87160930, + 85386453 + ], + [ + 30438136, + 56951395 + ], + [ + 67709114, + 15428003 + ], + [ + 25261083, + 24656541 + ], + [ + 64813553, + 10028565 + ], + [ + 5970841, + 44475302 + ], + [ + 31606309, + 29787903 + ], + [ + 35444651, + 64921571 + ], + [ + 57367846, + 77280939 + ], + [ + 64747804, + 24410733 + ], + [ + 55790235, + 69785673 + ], + [ + 29833405, + 75511569 + ], + [ + 4578688, + 90482285 + ], + [ + 58672453, + 22727975 + ], + [ + 80608528, + 24850362 + ], + [ + 35272891, + 16610835 + ], + [ + 91891523, + 52013820 + ], + [ + 72495690, + 86113669 + ], + [ + 4772225, + 63032538 + ], + [ + 68079357, + 96784479 + ], + [ + 60423213, + 9524872 + ], + [ + 84133693, + 93107854 + ], + [ + 55232317, + 11975122 + ], + [ + 68114284, + 61461888 + ], + [ + 88159299, + 81961619 + ], + [ + 66206513, + 24432172 + ], + [ + 95027037, + 80778340 + ], + [ + 96655157, + 15321522 + ], + [ + 34044984, + 58575848 + ], + [ + 60455301, + 87892602 + ], + [ + 79468691, + 75468588 + ], + [ + 81654676, + 21350628 + ], + [ + 37392263, + 24916285 + ], + [ + 75667799, + 89292406 + ], + [ + 52538835, + 78133980 + ], + [ + 6706251, + 81830135 + ], + [ + 44455508, + 28607257 + ], + [ + 25687611, + 35121384 + ], + [ + 53714099, + 18259772 + ], + [ + 17014479, + 19598998 + ], + [ + 84906840, + 34984738 + ], + [ + 87665599, + 79854134 + ], + [ + 41218942, + 81333300 + ], + [ + 39887064, + 68830895 + ], + [ + 46770738, + 3278817 + ], + [ + 13308506, + 46750726 + ], + [ + 24523918, + 64463952 + ], + [ + 6053666, + 1179774 + ], + [ + 61742212, + 12271393 + ], + [ + 13746100, + 76575610 + ], + [ + 77538887, + 23136027 + ], + [ + 9602863, + 36872153 + ], + [ + 78137884, + 36285279 + ], + [ + 89628519, + 59039565 + ], + [ + 10336900, + 41717663 + ], + [ + 79354789, + 2805377 + ], + [ + 94643374, + 79927476 + ], + [ + 79276290, + 65478322 + ], + [ + 33835469, + 8035604 + ], + [ + 86184494, + 24495054 + ], + [ + 46936967, + 5749887 + ], + [ + 28775143, + 58760802 + ], + [ + 16373821, + 87939972 + ], + [ + 176975, + 35596575 + ], + [ + 58723436, + 25811524 + ], + [ + 21507695, + 45875770 + ], + [ + 37398408, + 19221298 + ], + [ + 47776869, + 85193026 + ], + [ + 70251842, + 99499535 + ], + [ + 65157858, + 5085050 + ], + [ + 65779497, + 55357863 + ], + [ + 78390236, + 73827906 + ], + [ + 25702529, + 98371743 + ], + [ + 34899728, + 94889985 + ], + [ + 4831379, + 83261671 + ], + [ + 45434128, + 80001475 + ], + [ + 82093329, + 52233369 + ], + [ + 32449472, + 61327676 + ], + [ + 15897163, + 23581881 + ], + [ + 43276691, + 74937494 + ], + [ + 38946522, + 57949137 + ], + [ + 52930079, + 64233299 + ], + [ + 85887499, + 52123301 + ], + [ + 14857989, + 16533429 + ], + [ + 12873821, + 68360470 + ], + [ + 40686515, + 98456724 + ], + [ + 17417907, + 69183828 + ], + [ + 10651447, + 5798877 + ], + [ + 2278506, + 90954529 + ], + [ + 22516364, + 24570912 + ], + [ + 13345414, + 55148807 + ], + [ + 61074672, + 94791587 + ], + [ + 78647096, + 94944240 + ], + [ + 597864, + 68563725 + ], + [ + 64662822, + 10268762 + ], + [ + 98434128, + 80225585 + ], + [ + 62580869, + 64181454 + ], + [ + 80814907, + 14643343 + ], + [ + 213059, + 57352504 + ], + [ + 42422817, + 99061926 + ], + [ + 70249460, + 4368815 + ], + [ + 43950865, + 73141592 + ], + [ + 8334400, + 85276930 + ], + [ + 69684867, + 99276395 + ], + [ + 69148544, + 2330332 + ], + [ + 8298325, + 18496156 + ], + [ + 45612967, + 31351272 + ], + [ + 62217928, + 34143603 + ], + [ + 24270053, + 1887137 + ], + [ + 46109792, + 16904698 + ], + [ + 23046079, + 50638173 + ], + [ + 27212560, + 64294734 + ], + [ + 2100182, + 42864693 + ], + [ + 22025956, + 77506519 + ], + [ + 4492729, + 29383239 + ], + [ + 15009887, + 47860598 + ], + [ + 17694497, + 80386110 + ], + [ + 37877283, + 97968970 + ], + [ + 40652475, + 93275127 + ], + [ + 18261097, + 53919171 + ], + [ + 41669473, + 93519793 + ], + [ + 92174882, + 13429468 + ], + [ + 78681048, + 25943033 + ], + [ + 84456171, + 66629480 + ], + [ + 72525744, + 74446689 + ], + [ + 73933367, + 91366213 + ], + [ + 75300025, + 73496825 + ], + [ + 12366249, + 6590980 + ], + [ + 80526612, + 60610405 + ], + [ + 82224200, + 24251836 + ], + [ + 3682500, + 4493338 + ], + [ + 61998758, + 17256734 + ], + [ + 33764237, + 5340115 + ], + [ + 59506119, + 35643749 + ], + [ + 14657932, + 40742636 + ], + [ + 73417490, + 7949448 + ], + [ + 42089205, + 81269124 + ], + [ + 88559800, + 84372822 + ], + [ + 37059879, + 52279136 + ], + [ + 28230012, + 9533466 + ], + [ + 9167567, + 55177441 + ], + [ + 16594014, + 58076263 + ], + [ + 21447342, + 35325745 + ], + [ + 56213175, + 67543144 + ], + [ + 11178124, + 13142624 + ], + [ + 6466841, + 20742336 + ], + [ + 17126777, + 85104944 + ], + [ + 80313343, + 36553908 + ], + [ + 70458964, + 24965598 + ], + [ + 10858073, + 55482916 + ], + [ + 69583422, + 53166098 + ], + [ + 79830639, + 83009006 + ], + [ + 95575180, + 81618045 + ], + [ + 58769052, + 99216627 + ], + [ + 4804594, + 80148780 + ], + [ + 7456203, + 87857627 + ], + [ + 19961991, + 9126990 + ], + [ + 93144851, + 70640825 + ], + [ + 8343387, + 89400969 + ], + [ + 3188660, + 99406575 + ], + [ + 95395700, + 2068002 + ], + [ + 92653117, + 10395816 + ], + [ + 37385426, + 72893704 + ], + [ + 93592426, + 47725811 + ], + [ + 84747252, + 66176082 + ], + [ + 34623934, + 66308096 + ], + [ + 42758516, + 42334147 + ], + [ + 26397353, + 78802162 + ], + [ + 54642802, + 43088219 + ], + [ + 74675274, + 81742981 + ], + [ + 27916880, + 54445303 + ], + [ + 6608490, + 9039424 + ], + [ + 59123273, + 64994033 + ], + [ + 84604550, + 13042785 + ], + [ + 82282074, + 99908151 + ], + [ + 96830685, + 76782245 + ], + [ + 58530608, + 48422118 + ], + [ + 92152943, + 60980009 + ], + [ + 63025025, + 29699635 + ], + [ + 96542822, + 42235368 + ], + [ + 53720583, + 49949484 + ], + [ + 97473833, + 24783868 + ], + [ + 89837517, + 70719325 + ], + [ + 85243628, + 46566492 + ], + [ + 40319514, + 27831061 + ], + [ + 37702126, + 80096664 + ], + [ + 75567292, + 89890044 + ], + [ + 5475751, + 95045725 + ], + [ + 2394107, + 1652003 + ], + [ + 53626542, + 36563086 + ], + [ + 85406469, + 9638034 + ], + [ + 82589570, + 90746564 + ], + [ + 17533222, + 29921522 + ], + [ + 37142673, + 30982178 + ], + [ + 70937774, + 24705299 + ], + [ + 17132168, + 88696818 + ], + [ + 21407969, + 77654339 + ], + [ + 73128477, + 48304420 + ], + [ + 10754899, + 2243782 + ], + [ + 1730611, + 12686972 + ], + [ + 52182108, + 25991903 + ], + [ + 16834916, + 10568187 + ], + [ + 95231652, + 44471465 + ], + [ + 6365345, + 90021199 + ], + [ + 73344909, + 39209530 + ], + [ + 55323129, + 74049399 + ], + [ + 92964383, + 37910645 + ], + [ + 63461605, + 21507933 + ], + [ + 66363700, + 53841199 + ], + [ + 73034289, + 3987367 + ], + [ + 39623849, + 98166840 + ], + [ + 84728421, + 80401421 + ], + [ + 98398363, + 41162303 + ], + [ + 16875921, + 79563667 + ], + [ + 92290778, + 56081848 + ], + [ + 41862181, + 34910915 + ], + [ + 86525978, + 8852232 + ], + [ + 33438383, + 35809943 + ], + [ + 85913132, + 9671876 + ], + [ + 18123669, + 38508287 + ], + [ + 92470021, + 325340 + ], + [ + 18370097, + 71188389 + ], + [ + 585240, + 1647233 + ], + [ + 57137426, + 22733808 + ], + [ + 51173602, + 55006748 + ], + [ + 67480299, + 42228062 + ], + [ + 76301445, + 78637604 + ], + [ + 89302201, + 52676637 + ], + [ + 14104339, + 41550488 + ], + [ + 51121935, + 5182733 + ], + [ + 64923006, + 11195218 + ], + [ + 92495148, + 57958343 + ], + [ + 49062085, + 19022341 + ], + [ + 7126483, + 81304971 + ], + [ + 56895909, + 72287245 + ], + [ + 21832479, + 2798302 + ], + [ + 93281714, + 98829449 + ], + [ + 31064548, + 73227484 + ], + [ + 39485356, + 86663719 + ], + [ + 62406723, + 41750149 + ], + [ + 17003058, + 6160920 + ], + [ + 45902273, + 88670558 + ], + [ + 62221909, + 56913189 + ], + [ + 83758086, + 94316993 + ], + [ + 11576974, + 35680792 + ], + [ + 64499129, + 53532458 + ], + [ + 61110162, + 36800064 + ], + [ + 75165191, + 61163689 + ], + [ + 5395971, + 43136604 + ], + [ + 84015218, + 7813718 + ], + [ + 5977661, + 18252065 + ], + [ + 81110611, + 35287762 + ], + [ + 97420925, + 80833874 + ], + [ + 23590360, + 34687704 + ], + [ + 61167558, + 99855628 + ], + [ + 51519362, + 32730179 + ], + [ + 76391767, + 69058534 + ], + [ + 33652226, + 76763069 + ], + [ + 67394590, + 12858146 + ], + [ + 78884592, + 75450726 + ], + [ + 54504314, + 92100103 + ], + [ + 46738914, + 73384143 + ], + [ + 43014373, + 40735686 + ], + [ + 85144579, + 83571998 + ], + [ + 19443018, + 30589928 + ], + [ + 81551933, + 29188501 + ], + [ + 43033213, + 73023232 + ], + [ + 92709207, + 92460615 + ], + [ + 56283290, + 58334054 + ], + [ + 96391977, + 8518644 + ], + [ + 9817394, + 99736373 + ], + [ + 75073720, + 92173178 + ], + [ + 41434672, + 47519553 + ], + [ + 67982994, + 79418699 + ], + [ + 90029923, + 32385597 + ], + [ + 41008153, + 77948024 + ], + [ + 66024595, + 12263839 + ], + [ + 46550002, + 69072244 + ], + [ + 23699598, + 28689985 + ], + [ + 60669904, + 36788912 + ], + [ + 84214759, + 72706783 + ], + [ + 14282880, + 79255875 + ], + [ + 1887599, + 44267305 + ], + [ + 84680081, + 20069954 + ], + [ + 12324488, + 23331386 + ], + [ + 28442409, + 9250771 + ], + [ + 92477608, + 23983877 + ], + [ + 20876837, + 42376357 + ], + [ + 64277060, + 7920170 + ], + [ + 72832255, + 3378101 + ], + [ + 42904877, + 12272568 + ], + [ + 96661126, + 52018085 + ], + [ + 57088053, + 92975154 + ], + [ + 66166117, + 30810581 + ], + [ + 55564345, + 77484617 + ], + [ + 82991776, + 5234340 + ], + [ + 23755315, + 38414132 + ], + [ + 31660725, + 5213070 + ], + [ + 30618994, + 85883423 + ], + [ + 80970746, + 45561904 + ], + [ + 13925621, + 28426019 + ], + [ + 76928033, + 70407378 + ], + [ + 10177265, + 29033434 + ], + [ + 15792327, + 52209621 + ], + [ + 47115060, + 33962535 + ], + [ + 22328174, + 5915430 + ], + [ + 85103479, + 70058466 + ], + [ + 68489513, + 20451945 + ], + [ + 77651548, + 1395070 + ], + [ + 27196656, + 65815402 + ], + [ + 13864863, + 82087138 + ], + [ + 11852474, + 87344918 + ], + [ + 3594903, + 42193377 + ], + [ + 24329147, + 25971316 + ], + [ + 79388651, + 40896413 + ], + [ + 82229979, + 7313579 + ], + [ + 27894596, + 39102374 + ], + [ + 23147756, + 25585362 + ], + [ + 27176540, + 19639580 + ], + [ + 45932817, + 84373876 + ], + [ + 13185625, + 97858391 + ], + [ + 18586386, + 83613856 + ], + [ + 16513854, + 4398018 + ], + [ + 32219095, + 41499421 + ], + [ + 66912391, + 53348880 + ], + [ + 25116212, + 59224318 + ], + [ + 66598522, + 63572483 + ], + [ + 88239703, + 51539766 + ], + [ + 51046610, + 18076765 + ], + [ + 18212227, + 18972566 + ], + [ + 5314858, + 3095741 + ], + [ + 58746553, + 61197077 + ], + [ + 80180794, + 62602949 + ], + [ + 79268670, + 76156113 + ], + [ + 19442558, + 22323943 + ], + [ + 96283589, + 54465640 + ], + [ + 43255019, + 61560297 + ], + [ + 7329421, + 78674394 + ], + [ + 56619506, + 29666695 + ], + [ + 86170900, + 14032887 + ], + [ + 77402605, + 86851985 + ], + [ + 31996002, + 62014556 + ], + [ + 4682018, + 29493194 + ], + [ + 69633224, + 32475289 + ], + [ + 7019828, + 82318178 + ], + [ + 36008412, + 98246834 + ], + [ + 14771495, + 32151106 + ], + [ + 42602871, + 4680522 + ], + [ + 89186415, + 5376798 + ], + [ + 48805211, + 31730469 + ], + [ + 3896347, + 6305984 + ], + [ + 18106055, + 58405024 + ], + [ + 97710331, + 20224887 + ], + [ + 8415312, + 82600837 + ], + [ + 25667462, + 8598519 + ], + [ + 45704472, + 28421279 + ], + [ + 18402668, + 67564298 + ], + [ + 37355659, + 51461606 + ], + [ + 77355834, + 18136133 + ], + [ + 87058900, + 71279378 + ], + [ + 99519845, + 97591861 + ], + [ + 43728578, + 19462169 + ], + [ + 28776514, + 35824188 + ], + [ + 95106282, + 18701546 + ], + [ + 98554205, + 41371647 + ], + [ + 50657049, + 99095458 + ], + [ + 95861172, + 5585310 + ], + [ + 39717321, + 9689158 + ], + [ + 9470440, + 57574584 + ], + [ + 31989342, + 80340871 + ], + [ + 81566592, + 39609322 + ], + [ + 92529889, + 79688466 + ], + [ + 76585056, + 39201580 + ], + [ + 77184444, + 82399004 + ], + [ + 52441959, + 41160714 + ], + [ + 6329209, + 53270852 + ], + [ + 18265052, + 54594291 + ], + [ + 3443042, + 83852886 + ], + [ + 15423757, + 85003738 + ], + [ + 10122409, + 84315360 + ], + [ + 73987005, + 39967623 + ], + [ + 25995144, + 46580538 + ], + [ + 67381302, + 19330145 + ], + [ + 68804464, + 17580027 + ], + [ + 35408494, + 43100372 + ], + [ + 99515135, + 55707312 + ], + [ + 8416206, + 98187837 + ], + [ + 51520400, + 51564732 + ], + [ + 85100020, + 51586122 + ], + [ + 34458653, + 56493066 + ], + [ + 90333092, + 84558602 + ], + [ + 84636936, + 8928905 + ], + [ + 71229981, + 30750075 + ], + [ + 42588208, + 11090732 + ], + [ + 23192118, + 86372713 + ], + [ + 87211020, + 60590838 + ], + [ + 89692744, + 16357346 + ], + [ + 92722447, + 41155303 + ], + [ + 98648306, + 98554481 + ], + [ + 13816125, + 82791266 + ], + [ + 5025172, + 49790501 + ], + [ + 98213740, + 3742667 + ], + [ + 49095292, + 34881090 + ], + [ + 20268087, + 1347819 + ], + [ + 95220312, + 95503364 + ], + [ + 63014670, + 6657919 + ], + [ + 92500744, + 84051952 + ], + [ + 59558750, + 42110715 + ], + [ + 35908974, + 53776254 + ], + [ + 41797596, + 11530909 + ], + [ + 39881552, + 23113261 + ], + [ + 14054262, + 25625153 + ], + [ + 57737329, + 32383790 + ], + [ + 37356871, + 67268458 + ], + [ + 3435891, + 55779442 + ], + [ + 43243367, + 65668788 + ], + [ + 11230345, + 75900599 + ], + [ + 29757255, + 3766496 + ], + [ + 81198823, + 36223696 + ], + [ + 44282505, + 42929432 + ], + [ + 47158626, + 32048466 + ], + [ + 46441774, + 75496731 + ], + [ + 41355589, + 51288518 + ], + [ + 98273958, + 24368855 + ], + [ + 87174572, + 23637280 + ], + [ + 8554987, + 11228330 + ], + [ + 34093769, + 50031565 + ], + [ + 95095353, + 75404416 + ], + [ + 75287444, + 53615167 + ], + [ + 47662840, + 32049095 + ], + [ + 51164830, + 13817345 + ], + [ + 36812757, + 76671319 + ], + [ + 25498104, + 24055179 + ], + [ + 24017843, + 73733062 + ], + [ + 96027610, + 31023218 + ], + [ + 93049301, + 51029948 + ], + [ + 40008956, + 10584875 + ], + [ + 46966627, + 81822222 + ], + [ + 91389992, + 32956545 + ], + [ + 6896941, + 55534552 + ], + [ + 31488684, + 87803579 + ], + [ + 67338979, + 82244510 + ], + [ + 21072001, + 29433417 + ], + [ + 49877389, + 50569620 + ], + [ + 84819652, + 55263788 + ], + [ + 99057808, + 67031433 + ], + [ + 61094008, + 98043010 + ], + [ + 48288892, + 52244369 + ], + [ + 24447974, + 2292618 + ], + [ + 19996881, + 98734215 + ], + [ + 94580708, + 11420972 + ], + [ + 24105666, + 9536470 + ], + [ + 51972910, + 63986099 + ], + [ + 75550917, + 54396819 + ], + [ + 58046162, + 47149237 + ], + [ + 97854860, + 43177104 + ], + [ + 82153152, + 30106495 + ], + [ + 62613968, + 13751667 + ], + [ + 10158284, + 22137624 + ], + [ + 96202496, + 60670630 + ], + [ + 31920542, + 64108336 + ], + [ + 46146884, + 65976603 + ], + [ + 96344125, + 98160593 + ], + [ + 75042673, + 81555625 + ], + [ + 43160878, + 47028579 + ], + [ + 30653199, + 59134629 + ], + [ + 94640266, + 55444296 + ], + [ + 56636937, + 82091065 + ], + [ + 82442440, + 76557981 + ], + [ + 25468894, + 65286261 + ], + [ + 3124359, + 69021386 + ], + [ + 23691377, + 25242947 + ], + [ + 86730311, + 43229220 + ], + [ + 27593626, + 58634208 + ], + [ + 375523, + 58744362 + ], + [ + 89690013, + 79173870 + ], + [ + 62452034, + 52229084 + ], + [ + 79343411, + 87320963 + ], + [ + 66194010, + 51731937 + ], + [ + 9985940, + 41634516 + ], + [ + 98087745, + 11421098 + ], + [ + 7140146, + 67493178 + ], + [ + 54559335, + 51824661 + ], + [ + 88213010, + 3497887 + ], + [ + 31132811, + 68271317 + ], + [ + 90808965, + 53552841 + ], + [ + 62292782, + 61389658 + ], + [ + 10705985, + 48374438 + ], + [ + 82986099, + 32416073 + ], + [ + 81588210, + 88360956 + ], + [ + 61322263, + 43257073 + ], + [ + 34135362, + 84178390 + ], + [ + 60947690, + 47942518 + ], + [ + 28254998, + 40560230 + ], + [ + 62240191, + 894116 + ], + [ + 60180841, + 14281485 + ], + [ + 82822233, + 13522774 + ], + [ + 12937248, + 10099586 + ], + [ + 70723014, + 28815510 + ], + [ + 5211632, + 82323857 + ], + [ + 87912080, + 33826634 + ], + [ + 77951872, + 93197754 + ], + [ + 11619735, + 29620830 + ], + [ + 36905404, + 88418521 + ], + [ + 64564513, + 33635642 + ], + [ + 27855934, + 72032653 + ], + [ + 44048606, + 75766927 + ], + [ + 14384554, + 36196371 + ], + [ + 16613011, + 70763195 + ], + [ + 27839589, + 4791760 + ], + [ + 20186920, + 95643180 + ], + [ + 94046621, + 95530501 + ], + [ + 63379726, + 78770908 + ], + [ + 33593907, + 4273388 + ], + [ + 42272817, + 31262443 + ], + [ + 64719527, + 97121518 + ], + [ + 96916645, + 64422853 + ], + [ + 12018451, + 89509375 + ], + [ + 25087655, + 37853333 + ], + [ + 70787127, + 81856495 + ], + [ + 74906057, + 52114593 + ], + [ + 70520518, + 48383959 + ], + [ + 81145750, + 35634770 + ], + [ + 23383836, + 56889595 + ], + [ + 77421262, + 7721378 + ], + [ + 14972958, + 12352055 + ], + [ + 23725140, + 40623006 + ], + [ + 90098877, + 26867886 + ], + [ + 76671697, + 32721912 + ], + [ + 67951699, + 1628538 + ], + [ + 20944975, + 44385984 + ], + [ + 46701672, + 94128977 + ], + [ + 3299954, + 53388595 + ], + [ + 86365765, + 17345397 + ], + [ + 59216554, + 99554010 + ], + [ + 65246343, + 11312077 + ], + [ + 39354005, + 48607807 + ], + [ + 71794220, + 55465384 + ], + [ + 69768129, + 81038515 + ], + [ + 69218423, + 98773821 + ], + [ + 94241431, + 10534551 + ], + [ + 34141061, + 59060462 + ], + [ + 16692762, + 32295391 + ], + [ + 44240199, + 33567301 + ], + [ + 21025140, + 33103603 + ], + [ + 77569407, + 94220248 + ], + [ + 14175756, + 45938223 + ], + [ + 76998009, + 92618657 + ], + [ + 66892690, + 86402971 + ], + [ + 59237282, + 75574256 + ], + [ + 91927165, + 86131848 + ], + [ + 24377310, + 748982 + ], + [ + 64451659, + 35010734 + ], + [ + 5770631, + 39602502 + ], + [ + 82509738, + 96572449 + ], + [ + 85943459, + 89511678 + ], + [ + 71814725, + 18285712 + ], + [ + 14185350, + 48975623 + ], + [ + 69655956, + 4362849 + ], + [ + 87449701, + 48268069 + ], + [ + 47711012, + 68172768 + ], + [ + 97139504, + 32274048 + ], + [ + 81322273, + 89789101 + ], + [ + 17463194, + 22654226 + ], + [ + 5107469, + 14252112 + ], + [ + 12889748, + 93686738 + ], + [ + 35683278, + 92202771 + ], + [ + 4611115, + 61590620 + ], + [ + 23578240, + 42025746 + ], + [ + 20446743, + 75657143 + ], + [ + 4605250, + 31912280 + ], + [ + 55736842, + 94558549 + ], + [ + 7611984, + 71723762 + ], + [ + 25384485, + 69112824 + ], + [ + 19971461, + 10097065 + ], + [ + 33347413, + 43478896 + ], + [ + 62692614, + 43279603 + ], + [ + 26036055, + 47085330 + ], + [ + 31687130, + 51554851 + ], + [ + 82632210, + 64196560 + ], + [ + 88893370, + 48945653 + ], + [ + 72433701, + 88038991 + ], + [ + 75513484, + 31812625 + ], + [ + 49011466, + 61465757 + ], + [ + 19087463, + 35598474 + ], + [ + 26240751, + 80612149 + ], + [ + 22910988, + 57281813 + ], + [ + 52508613, + 18793415 + ], + [ + 48594394, + 37411315 + ], + [ + 92500013, + 7992674 + ], + [ + 34669081, + 15521711 + ], + [ + 77394872, + 18057106 + ], + [ + 55242504, + 35302107 + ], + [ + 70868238, + 85201030 + ], + [ + 60546748, + 64520807 + ], + [ + 64165302, + 49385316 + ], + [ + 14511177, + 17368342 + ], + [ + 27737335, + 26943168 + ], + [ + 60121358, + 7290768 + ], + [ + 81668344, + 67797022 + ], + [ + 42284818, + 69805709 + ], + [ + 37606660, + 65851300 + ], + [ + 1477247, + 73478319 + ], + [ + 94487102, + 49679907 + ], + [ + 27257405, + 91344747 + ], + [ + 65479748, + 3999055 + ], + [ + 42821568, + 4116021 + ], + [ + 70455951, + 73765775 + ], + [ + 32729027, + 2094498 + ], + [ + 56688087, + 71443055 + ], + [ + 55783846, + 52778178 + ], + [ + 30963397, + 98019552 + ], + [ + 63795841, + 44711340 + ], + [ + 19634547, + 88847072 + ], + [ + 84375723, + 53366707 + ], + [ + 6696940, + 94699708 + ], + [ + 48647193, + 94274571 + ], + [ + 99645119, + 26241196 + ], + [ + 64349726, + 17091655 + ], + [ + 91531278, + 39729429 + ], + [ + 43172717, + 89524634 + ], + [ + 72150551, + 56571965 + ], + [ + 62250288, + 72961717 + ], + [ + 63143012, + 49163012 + ], + [ + 79236742, + 68831605 + ], + [ + 66569455, + 15182395 + ], + [ + 31076061, + 98719105 + ], + [ + 71147401, + 11395977 + ], + [ + 54781465, + 1113006 + ], + [ + 39710038, + 60550221 + ], + [ + 86772639, + 9189496 + ], + [ + 90978054, + 7856188 + ], + [ + 52058958, + 16747501 + ], + [ + 75111851, + 7576510 + ], + [ + 9249875, + 93526969 + ], + [ + 55020690, + 44398752 + ], + [ + 94800884, + 65309615 + ], + [ + 42550178, + 92063498 + ], + [ + 71072225, + 99290803 + ], + [ + 90398635, + 77865643 + ], + [ + 35569016, + 43519553 + ], + [ + 79817516, + 47978902 + ], + [ + 79844174, + 97084035 + ], + [ + 38747547, + 85282050 + ], + [ + 90612053, + 43187923 + ], + [ + 26002974, + 63874908 + ], + [ + 53050674, + 51594598 + ], + [ + 92054126, + 416582 + ], + [ + 24469546, + 94396112 + ], + [ + 94799530, + 484741 + ], + [ + 62730462, + 23783156 + ], + [ + 70916248, + 95748338 + ], + [ + 29060809, + 997157 + ], + [ + 42940415, + 4415931 + ], + [ + 20374790, + 95367163 + ], + [ + 22956496, + 36652439 + ], + [ + 4538955, + 90012878 + ], + [ + 93313916, + 11066952 + ], + [ + 73647734, + 98338868 + ], + [ + 81930502, + 51989002 + ], + [ + 55993782, + 2534677 + ], + [ + 46962513, + 81477978 + ], + [ + 49356051, + 26325950 + ], + [ + 86085651, + 20373270 + ], + [ + 8984905, + 54303198 + ], + [ + 63957691, + 14372623 + ], + [ + 3956561, + 98033036 + ], + [ + 37089134, + 11005729 + ], + [ + 89599755, + 49938598 + ], + [ + 27383436, + 29094590 + ], + [ + 73190173, + 32846114 + ], + [ + 81265612, + 45318502 + ], + [ + 25510058, + 8383418 + ], + [ + 10459169, + 23545157 + ], + [ + 49220042, + 10473995 + ], + [ + 67823231, + 88560817 + ], + [ + 96220629, + 86339976 + ], + [ + 54235572, + 99788193 + ], + [ + 65165426, + 95193412 + ], + [ + 16971914, + 29480414 + ], + [ + 5300164, + 429237 + ], + [ + 53119574, + 11371590 + ], + [ + 31751127, + 90279793 + ], + [ + 30623745, + 67368301 + ], + [ + 38584344, + 42742042 + ], + [ + 62066329, + 36409683 + ], + [ + 73745328, + 28862506 + ], + [ + 75255129, + 55688708 + ], + [ + 47509789, + 66998034 + ], + [ + 74617602, + 19618603 + ], + [ + 19993155, + 63598596 + ], + [ + 59703370, + 60131852 + ], + [ + 84975494, + 73096790 + ], + [ + 71313255, + 91839221 + ], + [ + 49558725, + 11559973 + ], + [ + 2214998, + 60424157 + ], + [ + 83658110, + 57866428 + ], + [ + 27248242, + 56918180 + ], + [ + 58886162, + 59225511 + ], + [ + 75122246, + 19873628 + ], + [ + 1672516, + 45380465 + ], + [ + 35325383, + 67957019 + ], + [ + 86356385, + 73032318 + ], + [ + 52247010, + 37066417 + ], + [ + 7968213, + 47855594 + ], + [ + 26149290, + 97123232 + ], + [ + 24757848, + 19737758 + ], + [ + 31643463, + 78389323 + ], + [ + 71714599, + 18031024 + ], + [ + 78542744, + 10528610 + ], + [ + 97118993, + 76652967 + ], + [ + 27701503, + 91041621 + ], + [ + 27626662, + 24701268 + ], + [ + 22972635, + 84275656 + ], + [ + 52264452, + 13329779 + ], + [ + 10029111, + 38457857 + ], + [ + 27188341, + 19277934 + ], + [ + 32750643, + 50982238 + ], + [ + 46680098, + 75473451 + ], + [ + 30537738, + 73547943 + ], + [ + 97895926, + 99047163 + ], + [ + 87495875, + 66511372 + ], + [ + 52843556, + 78959867 + ], + [ + 44740185, + 60314534 + ], + [ + 25611416, + 73016102 + ], + [ + 38964566, + 25931453 + ], + [ + 8110966, + 68535888 + ], + [ + 32671235, + 7635356 + ], + [ + 62579084, + 24921966 + ], + [ + 57710358, + 96311602 + ], + [ + 73485313, + 19464494 + ], + [ + 65533802, + 70230779 + ], + [ + 96416273, + 72167548 + ], + [ + 95412044, + 28698123 + ], + [ + 73019350, + 10650487 + ], + [ + 19820904, + 20492388 + ], + [ + 14522299, + 51507283 + ], + [ + 62380892, + 76664586 + ], + [ + 60227242, + 15632718 + ], + [ + 74432302, + 30444021 + ], + [ + 59473382, + 49824402 + ], + [ + 73282652, + 75943543 + ], + [ + 32878676, + 46166664 + ], + [ + 74404046, + 23040017 + ], + [ + 13231098, + 94375251 + ], + [ + 89889849, + 46394362 + ], + [ + 4906304, + 111205 + ], + [ + 55605381, + 88653367 + ], + [ + 81957964, + 14059593 + ], + [ + 73461296, + 70127261 + ], + [ + 4657758, + 2445886 + ], + [ + 51573343, + 29299875 + ], + [ + 35811669, + 50313040 + ], + [ + 12711851, + 69673207 + ], + [ + 55566252, + 96965009 + ], + [ + 33623465, + 50908629 + ], + [ + 30582027, + 53096197 + ], + [ + 32008166, + 46478652 + ], + [ + 75902786, + 47697891 + ], + [ + 14945264, + 62856587 + ], + [ + 80295613, + 75267702 + ], + [ + 71781229, + 18753237 + ], + [ + 73887003, + 67061346 + ], + [ + 68484080, + 80638920 + ], + [ + 93046385, + 85132031 + ], + [ + 70172052, + 50024739 + ], + [ + 58157668, + 33426703 + ], + [ + 65390626, + 167522 + ], + [ + 69335688, + 44379665 + ], + [ + 15622513, + 55652911 + ], + [ + 47389260, + 17385991 + ], + [ + 51380060, + 38307241 + ], + [ + 66269024, + 73548177 + ], + [ + 6001326, + 32087870 + ], + [ + 39883039, + 96222632 + ], + [ + 22389739, + 34444448 + ], + [ + 65370135, + 98421569 + ], + [ + 2369371, + 33824132 + ], + [ + 88638755, + 36502187 + ], + [ + 97611043, + 7316551 + ], + [ + 46609847, + 53691759 + ], + [ + 75832645, + 76909366 + ], + [ + 65574278, + 91772240 + ], + [ + 11417036, + 68876708 + ], + [ + 51519161, + 35842040 + ], + [ + 44090347, + 67338121 + ], + [ + 5160548, + 85661040 + ], + [ + 16681077, + 50986448 + ], + [ + 8679572, + 6481522 + ], + [ + 56840127, + 15667008 + ], + [ + 18427766, + 86782509 + ], + [ + 81026873, + 25344165 + ], + [ + 29186011, + 36395380 + ], + [ + 44422411, + 96626786 + ], + [ + 40953016, + 89085428 + ], + [ + 11311789, + 72762870 + ], + [ + 71062398, + 87969976 + ], + [ + 24651250, + 85959993 + ], + [ + 82685405, + 62960495 + ], + [ + 36502150, + 42617425 + ], + [ + 39629668, + 44053078 + ], + [ + 85166767, + 3881053 + ], + [ + 8193829, + 25143678 + ], + [ + 47175137, + 32064357 + ], + [ + 19799503, + 3382963 + ], + [ + 92062030, + 387814 + ], + [ + 4926966, + 18405094 + ], + [ + 49544939, + 20781389 + ], + [ + 56755088, + 9256652 + ], + [ + 62182413, + 7883322 + ], + [ + 15093212, + 7516779 + ], + [ + 8798392, + 62237560 + ], + [ + 95732951, + 47207671 + ], + [ + 57885925, + 60550453 + ], + [ + 57184868, + 94155812 + ], + [ + 45468, + 18655890 + ], + [ + 87188488, + 92065302 + ], + [ + 82853772, + 5191015 + ], + [ + 54721696, + 97069128 + ], + [ + 733788, + 64971069 + ], + [ + 60206697, + 59514275 + ], + [ + 11861605, + 17079214 + ], + [ + 1468930, + 18324978 + ], + [ + 80111700, + 64854918 + ], + [ + 65391720, + 43542360 + ], + [ + 46318702, + 61493300 + ], + [ + 90706866, + 13756655 + ], + [ + 93207573, + 15596772 + ], + [ + 94268813, + 23388746 + ], + [ + 81537614, + 88524862 + ], + [ + 27420430, + 71179696 + ], + [ + 12084187, + 61954862 + ], + [ + 60535701, + 62486481 + ], + [ + 31495617, + 7504379 + ], + [ + 30947520, + 58215112 + ], + [ + 11737033, + 85979721 + ], + [ + 30822232, + 20038461 + ], + [ + 3126569, + 51326612 + ], + [ + 89534990, + 34769723 + ], + [ + 14523985, + 19025880 + ], + [ + 86528823, + 49727191 + ], + [ + 98611360, + 87354737 + ], + [ + 82161878, + 51050087 + ], + [ + 93467808, + 66109732 + ], + [ + 96214789, + 47806045 + ], + [ + 56519925, + 38279970 + ], + [ + 96092525, + 52146614 + ], + [ + 63913878, + 44949896 + ], + [ + 9819071, + 65960629 + ], + [ + 7610726, + 91528431 + ], + [ + 35163630, + 20110408 + ], + [ + 12505849, + 74808741 + ], + [ + 66090514, + 66122604 + ], + [ + 52914609, + 52765535 + ], + [ + 66062427, + 66005976 + ], + [ + 13434630, + 55868899 + ], + [ + 39517811, + 77911050 + ], + [ + 39062511, + 62933972 + ], + [ + 58232525, + 64652384 + ], + [ + 5926781, + 64830732 + ], + [ + 89202317, + 20824379 + ], + [ + 50903428, + 22105433 + ], + [ + 98314683, + 57559450 + ], + [ + 110970, + 41605940 + ], + [ + 23667604, + 73564204 + ], + [ + 99785599, + 31462692 + ], + [ + 8892811, + 11850379 + ], + [ + 28036853, + 34585531 + ], + [ + 54436943, + 48779927 + ], + [ + 78836285, + 27914228 + ], + [ + 2156212, + 54967978 + ], + [ + 1845988, + 4081113 + ], + [ + 22072469, + 66243592 + ], + [ + 47082642, + 56793013 + ], + [ + 54400033, + 79713778 + ], + [ + 53748839, + 95322823 + ], + [ + 60032215, + 85084749 + ], + [ + 98509756, + 63258207 + ], + [ + 32168673, + 59772474 + ], + [ + 59416748, + 37920425 + ], + [ + 12506232, + 71044766 + ], + [ + 82441084, + 78455306 + ], + [ + 46215315, + 42970424 + ], + [ + 5673909, + 42223292 + ], + [ + 33360220, + 86079741 + ], + [ + 7587606, + 49648595 + ], + [ + 53873433, + 35357521 + ], + [ + 61588801, + 14511922 + ], + [ + 20756858, + 60162190 + ], + [ + 84008099, + 94583841 + ], + [ + 74714351, + 45525998 + ], + [ + 24288444, + 21413601 + ], + [ + 37547294, + 13637140 + ], + [ + 78260591, + 21423546 + ], + [ + 64831437, + 52469718 + ], + [ + 48738095, + 62959014 + ], + [ + 38105071, + 78045573 + ], + [ + 31086468, + 9369354 + ], + [ + 83666535, + 64691682 + ], + [ + 45754295, + 20486084 + ], + [ + 76091335, + 30088541 + ], + [ + 43948663, + 78278402 + ], + [ + 4172650, + 46136630 + ], + [ + 9355772, + 94921514 + ], + [ + 47368108, + 84731651 + ], + [ + 84209591, + 11469818 + ], + [ + 3176045, + 74526154 + ], + [ + 6950451, + 51618500 + ], + [ + 76423895, + 17471577 + ], + [ + 90567205, + 1824062 + ], + [ + 89806647, + 75716235 + ], + [ + 27003962, + 44352004 + ], + [ + 84372121, + 93140595 + ], + [ + 27785477, + 49505887 + ], + [ + 19794072, + 43602404 + ], + [ + 18512670, + 91390960 + ], + [ + 29626487, + 39182373 + ], + [ + 15989517, + 45488826 + ], + [ + 13687707, + 94864297 + ], + [ + 81428139, + 2375953 + ], + [ + 46294003, + 32894944 + ], + [ + 76212784, + 71429468 + ], + [ + 52615765, + 92246304 + ], + [ + 9284070, + 83200628 + ], + [ + 53745425, + 95327220 + ], + [ + 55024373, + 32015611 + ], + [ + 55040714, + 79707202 + ], + [ + 63985576, + 33464481 + ], + [ + 14885232, + 44116889 + ], + [ + 8070240, + 36768002 + ], + [ + 5769293, + 76684139 + ], + [ + 34901644, + 89334977 + ], + [ + 55095948, + 29870001 + ], + [ + 73608736, + 71056291 + ], + [ + 84968282, + 80220009 + ], + [ + 4813765, + 31671262 + ], + [ + 97332815, + 29957013 + ], + [ + 85057303, + 19086529 + ], + [ + 69308952, + 94162650 + ], + [ + 56852207, + 94702625 + ], + [ + 10994674, + 65794028 + ], + [ + 14130061, + 87030704 + ], + [ + 85235866, + 5941748 + ], + [ + 26886718, + 63619942 + ], + [ + 98913199, + 78563156 + ], + [ + 92106787, + 48353841 + ], + [ + 82872737, + 22195985 + ], + [ + 7980759, + 41620664 + ], + [ + 20355239, + 58402719 + ], + [ + 74836414, + 10161220 + ], + [ + 36624855, + 33743260 + ], + [ + 39716111, + 7210799 + ], + [ + 42310720, + 89378238 + ], + [ + 26580481, + 60124868 + ], + [ + 50372307, + 2106170 + ], + [ + 56283200, + 92538521 + ], + [ + 95623707, + 53752209 + ], + [ + 27541936, + 37483790 + ], + [ + 23151603, + 12037661 + ], + [ + 81591851, + 58023483 + ], + [ + 55162870, + 57461554 + ], + [ + 29848762, + 27318325 + ], + [ + 17367368, + 71219124 + ], + [ + 19204573, + 58520452 + ], + [ + 90501467, + 68489003 + ], + [ + 49529062, + 66801741 + ], + [ + 69485114, + 91159122 + ], + [ + 43955655, + 86297295 + ], + [ + 1327141, + 96018782 + ], + [ + 65437610, + 76134409 + ], + [ + 72977683, + 10997356 + ], + [ + 20070646, + 65986349 + ], + [ + 99646370, + 51457868 + ], + [ + 50988754, + 11416531 + ], + [ + 16793207, + 32986107 + ], + [ + 95103807, + 71434369 + ], + [ + 21889467, + 1913807 + ], + [ + 44302983, + 22808999 + ], + [ + 86154314, + 92400198 + ], + [ + 96726242, + 76987178 + ], + [ + 80977965, + 21969165 + ], + [ + 85076118, + 88365899 + ], + [ + 20048706, + 50355791 + ], + [ + 68022772, + 19786852 + ], + [ + 11255695, + 76142675 + ], + [ + 41636710, + 37368492 + ], + [ + 17129703, + 5803260 + ], + [ + 61435191, + 15978437 + ], + [ + 63222825, + 10305993 + ], + [ + 92425291, + 41813239 + ], + [ + 12985452, + 79195969 + ], + [ + 83647054, + 56178094 + ], + [ + 77302387, + 3089030 + ], + [ + 65362239, + 15758634 + ], + [ + 23817281, + 40918882 + ], + [ + 99746387, + 9288378 + ], + [ + 64851521, + 42709680 + ], + [ + 41689340, + 26299617 + ], + [ + 47942265, + 57338326 + ], + [ + 72429334, + 67606594 + ], + [ + 2566310, + 44450385 + ], + [ + 30940296, + 22108713 + ], + [ + 57277088, + 25310967 + ], + [ + 39600619, + 28837794 + ], + [ + 81796122, + 45274294 + ], + [ + 38033798, + 6117851 + ], + [ + 80496990, + 71547318 + ], + [ + 20446159, + 84389463 + ], + [ + 50982496, + 70023562 + ], + [ + 73288750, + 73435264 + ], + [ + 71257483, + 83388633 + ], + [ + 22382733, + 29790508 + ], + [ + 80053684, + 84984793 + ], + [ + 88342801, + 6781874 + ], + [ + 41139539, + 80396853 + ], + [ + 55890620, + 9240007 + ], + [ + 87413369, + 57036687 + ], + [ + 35347953, + 203867 + ], + [ + 61323453, + 45735234 + ], + [ + 93177695, + 51655398 + ], + [ + 2864624, + 49722118 + ], + [ + 30712917, + 68127469 + ], + [ + 52628393, + 14766997 + ], + [ + 32292057, + 5739994 + ], + [ + 10550628, + 41436481 + ], + [ + 16522578, + 64814218 + ], + [ + 16648076, + 27292897 + ], + [ + 56712964, + 22849183 + ], + [ + 33038955, + 95948296 + ], + [ + 55692870, + 2928524 + ], + [ + 66522586, + 89681359 + ], + [ + 63024400, + 98466548 + ], + [ + 47370183, + 42314244 + ], + [ + 13844797, + 54788239 + ], + [ + 52888410, + 76295544 + ], + [ + 2644156, + 59333633 + ], + [ + 36988782, + 80070924 + ], + [ + 96206451, + 22778175 + ], + [ + 91144661, + 37255625 + ], + [ + 64236472, + 54584169 + ], + [ + 41246063, + 31279384 + ], + [ + 61160106, + 50063618 + ], + [ + 65598012, + 79002338 + ], + [ + 19106098, + 30718187 + ], + [ + 20899675, + 62967762 + ], + [ + 54774614, + 44491589 + ], + [ + 51460197, + 86946232 + ], + [ + 56635432, + 2641580 + ], + [ + 72245338, + 78907952 + ], + [ + 32626147, + 194202 + ], + [ + 88655474, + 23661460 + ], + [ + 36018712, + 95409043 + ], + [ + 75735076, + 51942171 + ], + [ + 38642495, + 38080592 + ], + [ + 47786935, + 25896427 + ], + [ + 99859420, + 71802628 + ], + [ + 57042408, + 15695003 + ], + [ + 83808586, + 41431763 + ], + [ + 61932415, + 73007809 + ], + [ + 35153701, + 27010183 + ], + [ + 13517996, + 43580561 + ], + [ + 61806448, + 29541584 + ], + [ + 31422115, + 51003229 + ], + [ + 72082723, + 73473182 + ], + [ + 48910867, + 87526538 + ], + [ + 19080001, + 65760513 + ], + [ + 18264894, + 32449116 + ], + [ + 91629117, + 96277883 + ], + [ + 51234973, + 53865736 + ], + [ + 57020520, + 12152371 + ], + [ + 44657589, + 76112467 + ], + [ + 466462, + 36246832 + ], + [ + 90967249, + 98904804 + ], + [ + 42113121, + 11879531 + ], + [ + 52647343, + 93820307 + ], + [ + 19188419, + 76791928 + ], + [ + 61652668, + 28764848 + ], + [ + 58750519, + 68141072 + ], + [ + 5454303, + 49941151 + ], + [ + 77678619, + 37150656 + ], + [ + 75241317, + 65569488 + ], + [ + 47531671, + 14608683 + ], + [ + 96175892, + 83103647 + ], + [ + 76036704, + 82794955 + ], + [ + 87894798, + 55941577 + ], + [ + 86408198, + 16475078 + ], + [ + 45105424, + 82123311 + ], + [ + 30785002, + 58856274 + ], + [ + 66718736, + 78112522 + ], + [ + 6346190, + 59500109 + ], + [ + 52752505, + 6116841 + ], + [ + 23179308, + 4328079 + ], + [ + 67080324, + 15728636 + ], + [ + 83283536, + 62082325 + ], + [ + 67694477, + 83287378 + ], + [ + 32859129, + 63866269 + ], + [ + 922016, + 24488761 + ], + [ + 28936360, + 15737832 + ], + [ + 51786566, + 5743081 + ], + [ + 76951056, + 38411345 + ], + [ + 59896540, + 13104473 + ], + [ + 45835466, + 46290942 + ], + [ + 26340449, + 79797137 + ], + [ + 18445403, + 26850408 + ], + [ + 96598975, + 17327627 + ], + [ + 9225776, + 55795968 + ], + [ + 50589049, + 66804965 + ], + [ + 50819485, + 9458562 + ], + [ + 13056679, + 36073922 + ], + [ + 23073520, + 9454504 + ], + [ + 58875641, + 98728723 + ], + [ + 50655438, + 69465766 + ], + [ + 81034869, + 37710075 + ], + [ + 7370493, + 74036967 + ], + [ + 71844079, + 22454886 + ], + [ + 92601118, + 29686927 + ], + [ + 70348283, + 92735373 + ], + [ + 33056489, + 83090362 + ], + [ + 21502933, + 44708360 + ], + [ + 28355627, + 41968702 + ], + [ + 97475721, + 68885314 + ], + [ + 99391840, + 66210790 + ], + [ + 58076753, + 21209800 + ], + [ + 83724410, + 19754366 + ], + [ + 71588658, + 13800265 + ], + [ + 47251200, + 85554105 + ], + [ + 39874610, + 59499387 + ], + [ + 96507402, + 31257601 + ], + [ + 64399783, + 34371108 + ], + [ + 18441892, + 42191812 + ], + [ + 5826467, + 56937406 + ], + [ + 34513299, + 8705071 + ], + [ + 18287981, + 83047743 + ], + [ + 99894232, + 71605815 + ], + [ + 55211899, + 7173427 + ], + [ + 77312631, + 43933560 + ], + [ + 56425328, + 69501942 + ], + [ + 94907185, + 98098642 + ], + [ + 82893482, + 21795809 + ], + [ + 6578527, + 18126009 + ], + [ + 50675419, + 57174598 + ], + [ + 48524550, + 43125563 + ], + [ + 84130400, + 46959903 + ], + [ + 70464624, + 79888797 + ], + [ + 13897069, + 63389682 + ], + [ + 11025746, + 84339441 + ], + [ + 79514073, + 82186023 + ], + [ + 41769347, + 62973191 + ], + [ + 8854628, + 57459762 + ], + [ + 94906622, + 32778198 + ], + [ + 13377083, + 64423110 + ], + [ + 56072540, + 5179899 + ], + [ + 40154196, + 99786051 + ], + [ + 13946563, + 8826809 + ], + [ + 17278605, + 77417635 + ], + [ + 63586673, + 66421600 + ], + [ + 83799741, + 20359436 + ], + [ + 68678873, + 60861198 + ], + [ + 73870362, + 4673608 + ], + [ + 95846000, + 62037400 + ], + [ + 22436893, + 14270871 + ], + [ + 60320759, + 50328669 + ], + [ + 19620138, + 98593494 + ], + [ + 81721809, + 73973385 + ], + [ + 95818186, + 79683845 + ], + [ + 58724287, + 89585322 + ], + [ + 10308754, + 50478502 + ], + [ + 63893360, + 74804171 + ], + [ + 37010545, + 74015922 + ], + [ + 25694515, + 32806615 + ], + [ + 54862376, + 61046221 + ], + [ + 44873759, + 90281615 + ], + [ + 10364217, + 26979266 + ], + [ + 61674570, + 67159661 + ], + [ + 5746505, + 48207427 + ], + [ + 65665301, + 35582920 + ], + [ + 27863506, + 12431767 + ], + [ + 71907938, + 64485038 + ], + [ + 62850868, + 97110534 + ], + [ + 18602042, + 45649317 + ], + [ + 40558615, + 3117306 + ], + [ + 73103663, + 94777946 + ], + [ + 64003355, + 25570960 + ], + [ + 76714765, + 80194170 + ], + [ + 17550606, + 33174896 + ], + [ + 61232547, + 43484739 + ], + [ + 36939274, + 86984666 + ], + [ + 63172607, + 33679676 + ], + [ + 70248267, + 24687092 + ], + [ + 65503735, + 13668394 + ], + [ + 40775052, + 95852575 + ], + [ + 90436805, + 83082150 + ], + [ + 51465343, + 96681495 + ], + [ + 23733095, + 83793843 + ], + [ + 48523702, + 32607761 + ], + [ + 25555192, + 27472996 + ], + [ + 72521123, + 37172262 + ], + [ + 49430162, + 9895831 + ], + [ + 7979411, + 86615573 + ], + [ + 30196189, + 70126190 + ], + [ + 91728978, + 48298078 + ], + [ + 71995084, + 10385637 + ], + [ + 98173116, + 82207060 + ], + [ + 48392602, + 25394898 + ], + [ + 33314733, + 67219580 + ], + [ + 91601648, + 78934492 + ], + [ + 12809598, + 66236135 + ], + [ + 33925520, + 44047330 + ], + [ + 99517708, + 23418731 + ], + [ + 94449337, + 31631934 + ], + [ + 92214919, + 3316359 + ], + [ + 86882713, + 5401597 + ], + [ + 50228584, + 57517656 + ], + [ + 22350362, + 20527536 + ], + [ + 78354242, + 51418231 + ], + [ + 45831252, + 32660527 + ], + [ + 31765661, + 8040753 + ], + [ + 20958943, + 23316402 + ], + [ + 54503473, + 37617009 + ], + [ + 70178699, + 94310260 + ], + [ + 48003460, + 93348331 + ], + [ + 96433575, + 65152718 + ], + [ + 51088750, + 68871563 + ], + [ + 56621673, + 35018309 + ], + [ + 59822939, + 48092584 + ], + [ + 27539825, + 92861667 + ], + [ + 84446422, + 82414743 + ], + [ + 53427412, + 43909885 + ], + [ + 75418197, + 15015651 + ], + [ + 20285070, + 26063445 + ], + [ + 54868737, + 37854138 + ], + [ + 34026545, + 52377567 + ], + [ + 82976783, + 58494503 + ], + [ + 21185607, + 98495691 + ], + [ + 69620926, + 26677472 + ], + [ + 33292797, + 73912211 + ], + [ + 50090610, + 66878474 + ], + [ + 20963346, + 34367837 + ], + [ + 46420102, + 94329746 + ], + [ + 57134147, + 67931785 + ], + [ + 28728367, + 89842300 + ], + [ + 60373265, + 7705003 + ], + [ + 68672058, + 91720553 + ], + [ + 62472242, + 13127037 + ], + [ + 32474946, + 32215297 + ], + [ + 45842050, + 71100442 + ], + [ + 98907440, + 57778365 + ], + [ + 49092230, + 15996821 + ], + [ + 582575, + 80222477 + ], + [ + 78152103, + 69577706 + ], + [ + 65433786, + 35680424 + ], + [ + 98253112, + 53398429 + ], + [ + 79117968, + 1527716 + ], + [ + 21410986, + 6125492 + ], + [ + 81074438, + 82693341 + ], + [ + 10078151, + 78469719 + ], + [ + 66156188, + 43432566 + ], + [ + 78448092, + 61038017 + ], + [ + 54290131, + 77968945 + ], + [ + 58455312, + 59703631 + ], + [ + 47748355, + 21124023 + ], + [ + 45726424, + 3989480 + ], + [ + 20115408, + 52056379 + ], + [ + 59038632, + 5971513 + ], + [ + 52812324, + 97554794 + ], + [ + 82118369, + 92239275 + ], + [ + 19902952, + 69142183 + ], + [ + 61468027, + 94207900 + ], + [ + 31146404, + 92145989 + ], + [ + 39688305, + 27916694 + ], + [ + 70017304, + 98000118 + ], + [ + 14880472, + 29926244 + ], + [ + 92497199, + 46262967 + ], + [ + 81730951, + 16603231 + ], + [ + 81397637, + 9705284 + ], + [ + 71933439, + 26094551 + ], + [ + 49462752, + 32474631 + ], + [ + 61562283, + 20691976 + ], + [ + 86767219, + 16665914 + ], + [ + 44040483, + 77609870 + ], + [ + 78254543, + 98804418 + ], + [ + 78558418, + 61089269 + ], + [ + 24884532, + 33211691 + ], + [ + 84263678, + 97461721 + ], + [ + 5103962, + 15334218 + ], + [ + 89272160, + 40629556 + ], + [ + 11113044, + 89874931 + ], + [ + 4474480, + 42844034 + ], + [ + 35415887, + 84174247 + ], + [ + 69703330, + 31927256 + ], + [ + 87152016, + 51658317 + ], + [ + 98520747, + 35330209 + ], + [ + 27065389, + 32212037 + ], + [ + 73611806, + 24168135 + ], + [ + 29481618, + 22545166 + ], + [ + 48906862, + 40694209 + ], + [ + 10658089, + 91374796 + ], + [ + 48263203, + 29825331 + ], + [ + 37755451, + 41184662 + ], + [ + 88927843, + 61168306 + ], + [ + 73283219, + 99561606 + ], + [ + 76432344, + 69469356 + ], + [ + 42656183, + 54208416 + ], + [ + 2410930, + 81688864 + ], + [ + 21779752, + 16056677 + ], + [ + 96565022, + 8350776 + ], + [ + 36493870, + 23792825 + ], + [ + 77870320, + 48807711 + ], + [ + 21933070, + 78878558 + ], + [ + 76663065, + 61402859 + ], + [ + 16733981, + 16170097 + ], + [ + 62392977, + 69368657 + ], + [ + 56250006, + 68960127 + ], + [ + 69953118, + 92467722 + ], + [ + 22906831, + 87327177 + ], + [ + 2086224, + 74222317 + ], + [ + 74229278, + 47505518 + ], + [ + 28529167, + 50812135 + ], + [ + 28852556, + 85258435 + ], + [ + 55693407, + 70765494 + ], + [ + 21905363, + 9643813 + ], + [ + 88152815, + 2885552 + ], + [ + 43390421, + 71808934 + ], + [ + 66036789, + 5718464 + ], + [ + 88856368, + 22235861 + ], + [ + 24544348, + 74671657 + ], + [ + 72184200, + 6724112 + ], + [ + 83747255, + 43474929 + ], + [ + 41825496, + 21111218 + ], + [ + 7516850, + 48469190 + ], + [ + 95967224, + 2689659 + ], + [ + 32922028, + 90688387 + ], + [ + 60222390, + 96813081 + ], + [ + 70368344, + 83303418 + ], + [ + 58638942, + 15221791 + ], + [ + 92952926, + 11988466 + ], + [ + 36310901, + 72019983 + ], + [ + 59701068, + 32092970 + ], + [ + 91867806, + 65868535 + ], + [ + 35295672, + 44527609 + ], + [ + 67341430, + 59170834 + ], + [ + 73952731, + 23639819 + ], + [ + 59755250, + 78882866 + ], + [ + 65634305, + 21826972 + ], + [ + 49586918, + 31561340 + ], + [ + 510695, + 16469626 + ], + [ + 49108471, + 20366926 + ], + [ + 19390341, + 8436096 + ], + [ + 90341523, + 58337611 + ], + [ + 61025880, + 3772152 + ], + [ + 19174813, + 96267087 + ], + [ + 6446535, + 97349845 + ], + [ + 95678446, + 82948304 + ], + [ + 61269820, + 56969609 + ], + [ + 38351686, + 18447311 + ], + [ + 59774620, + 80061867 + ], + [ + 69259812, + 93954685 + ], + [ + 32643375, + 45193384 + ], + [ + 83793396, + 34293129 + ], + [ + 53674883, + 83492649 + ], + [ + 80043264, + 70874938 + ], + [ + 22000206, + 65327030 + ], + [ + 4919315, + 44698554 + ], + [ + 28025771, + 24195357 + ], + [ + 90834904, + 28683914 + ], + [ + 1696443, + 85093934 + ], + [ + 27374709, + 49709456 + ], + [ + 92856831, + 5950141 + ], + [ + 58648855, + 83100639 + ], + [ + 37789199, + 96176334 + ], + [ + 47688913, + 21553604 + ], + [ + 47510781, + 19126449 + ], + [ + 78579156, + 58417822 + ], + [ + 33331374, + 72403993 + ], + [ + 22339231, + 23620555 + ], + [ + 32341878, + 36191176 + ], + [ + 68962902, + 81278751 + ], + [ + 55360793, + 28793121 + ], + [ + 34978832, + 85807620 + ], + [ + 47362334, + 93937633 + ], + [ + 97799526, + 67759886 + ], + [ + 33550607, + 5656408 + ], + [ + 25301918, + 4296401 + ], + [ + 64701419, + 76971376 + ], + [ + 22431760, + 34408114 + ], + [ + 27356781, + 45080548 + ], + [ + 11617130, + 8505876 + ], + [ + 10266029, + 9679752 + ], + [ + 58592675, + 84067596 + ], + [ + 4644146, + 32604784 + ], + [ + 64374852, + 13267484 + ], + [ + 68185237, + 87004171 + ], + [ + 45552542, + 71765307 + ], + [ + 5282682, + 74856178 + ], + [ + 71887765, + 26300406 + ], + [ + 75579369, + 23061815 + ], + [ + 92153721, + 11950403 + ], + [ + 37613397, + 50624525 + ], + [ + 98533424, + 91343226 + ], + [ + 27907015, + 79246467 + ], + [ + 70333395, + 80112722 + ], + [ + 80871447, + 86988870 + ], + [ + 84841595, + 2691496 + ], + [ + 73948709, + 63385983 + ], + [ + 94238879, + 39237025 + ], + [ + 68753439, + 32601752 + ], + [ + 71201453, + 51084174 + ], + [ + 47206481, + 59286424 + ], + [ + 70441603, + 67584757 + ], + [ + 23513457, + 32606083 + ], + [ + 25450858, + 79605837 + ], + [ + 28346811, + 61890784 + ], + [ + 82254421, + 17284474 + ], + [ + 6805836, + 58979065 + ], + [ + 33372164, + 17669467 + ], + [ + 49387184, + 39886732 + ], + [ + 84790798, + 13517075 + ], + [ + 42379631, + 61602021 + ], + [ + 72142530, + 84128262 + ], + [ + 90495058, + 86391448 + ], + [ + 54528835, + 63849102 + ], + [ + 10882120, + 4239021 + ], + [ + 38251886, + 891868 + ], + [ + 58644355, + 36479239 + ], + [ + 61489900, + 67512024 + ], + [ + 44735259, + 50476799 + ], + [ + 93942601, + 71699005 + ], + [ + 96811854, + 25703983 + ], + [ + 53798246, + 40281337 + ], + [ + 69248890, + 81164408 + ], + [ + 39807238, + 27581430 + ], + [ + 57172033, + 31083630 + ], + [ + 59554318, + 23533815 + ], + [ + 71463243, + 50641724 + ], + [ + 4757797, + 25897316 + ], + [ + 88010539, + 74734313 + ], + [ + 89729194, + 17890062 + ], + [ + 65759126, + 51836581 + ], + [ + 86337333, + 11165638 + ], + [ + 79196057, + 99673112 + ], + [ + 55527298, + 24339057 + ], + [ + 27774516, + 23142465 + ], + [ + 30714648, + 3375508 + ], + [ + 25484219, + 28043975 + ], + [ + 82624398, + 86043890 + ], + [ + 656357, + 23581743 + ], + [ + 78272943, + 38212073 + ], + [ + 3836127, + 35613566 + ], + [ + 63962095, + 96589842 + ], + [ + 89793973, + 52198170 + ], + [ + 44737155, + 87686036 + ], + [ + 17201201, + 91880301 + ], + [ + 42307913, + 29447982 + ], + [ + 93157403, + 44115280 + ], + [ + 15967969, + 53997489 + ], + [ + 53683846, + 54683745 + ], + [ + 43200215, + 42048072 + ], + [ + 99755613, + 76790777 + ], + [ + 46182369, + 10149166 + ], + [ + 71085534, + 75557113 + ], + [ + 53715854, + 18396593 + ], + [ + 94032739, + 20942691 + ], + [ + 86307044, + 17124250 + ], + [ + 20478608, + 85463289 + ], + [ + 49899522, + 36719028 + ], + [ + 66519586, + 15718455 + ], + [ + 44845094, + 52983895 + ], + [ + 11789810, + 73819425 + ], + [ + 51551119, + 54537561 + ], + [ + 93735027, + 4806320 + ], + [ + 60700412, + 97079198 + ], + [ + 64259731, + 56936243 + ], + [ + 71774569, + 51636533 + ], + [ + 5080968, + 46882738 + ], + [ + 37633644, + 75721124 + ], + [ + 52266650, + 89567076 + ], + [ + 64932847, + 25031318 + ], + [ + 76957902, + 29872872 + ], + [ + 48549122, + 2876805 + ], + [ + 25899632, + 81716982 + ], + [ + 4358514, + 64248378 + ], + [ + 17117576, + 95637527 + ], + [ + 24165452, + 31455063 + ], + [ + 79617389, + 86639907 + ], + [ + 30589866, + 51673588 + ], + [ + 65999934, + 78042366 + ], + [ + 29570019, + 29709433 + ], + [ + 85037440, + 51043608 + ], + [ + 4024483, + 27004365 + ], + [ + 62467067, + 28226672 + ], + [ + 93420469, + 11315795 + ], + [ + 8606930, + 17210763 + ], + [ + 76105230, + 62693109 + ], + [ + 52207692, + 59729809 + ], + [ + 92761300, + 39229892 + ], + [ + 44169081, + 86867525 + ], + [ + 32836025, + 28305067 + ], + [ + 56727402, + 6037777 + ], + [ + 66450090, + 36699029 + ], + [ + 99852228, + 11409554 + ], + [ + 82133263, + 62166149 + ], + [ + 60297405, + 21179585 + ], + [ + 79022273, + 8990087 + ], + [ + 56980833, + 49211227 + ], + [ + 4677717, + 50098438 + ], + [ + 46670890, + 47515069 + ], + [ + 79684553, + 21551362 + ], + [ + 54341347, + 23360818 + ], + [ + 96209168, + 66309004 + ], + [ + 17673577, + 73630635 + ], + [ + 47614451, + 50843349 + ], + [ + 75691088, + 24325412 + ], + [ + 67675806, + 75953952 + ], + [ + 31450072, + 16627733 + ], + [ + 46695818, + 12999995 + ], + [ + 41523164, + 89830767 + ], + [ + 70278230, + 20343538 + ], + [ + 93499667, + 88436020 + ], + [ + 76535413, + 67213408 + ], + [ + 80080065, + 11770094 + ], + [ + 94631996, + 82441173 + ], + [ + 76803432, + 58527509 + ], + [ + 1089137, + 25021280 + ], + [ + 60144475, + 18043907 + ], + [ + 56586626, + 29348367 + ], + [ + 49386282, + 10319956 + ], + [ + 68536691, + 10160476 + ], + [ + 89569512, + 35489027 + ], + [ + 86496815, + 95198385 + ], + [ + 71664906, + 89827573 + ], + [ + 59740680, + 57769482 + ], + [ + 42216384, + 70569311 + ], + [ + 61312857, + 73717783 + ], + [ + 19221574, + 67068185 + ], + [ + 9576237, + 78793534 + ], + [ + 77835566, + 72623381 + ], + [ + 32946121, + 18327395 + ], + [ + 26126249, + 83992662 + ], + [ + 40946781, + 23056437 + ], + [ + 35560526, + 57018020 + ], + [ + 59346860, + 35114670 + ], + [ + 56022085, + 54683947 + ], + [ + 46575566, + 18433096 + ], + [ + 52778675, + 16250826 + ], + [ + 92897416, + 19932987 + ], + [ + 90481495, + 19216029 + ], + [ + 75938782, + 52083098 + ], + [ + 21326170, + 24019724 + ], + [ + 81176398, + 6716135 + ], + [ + 65696007, + 70780923 + ], + [ + 20917044, + 55567829 + ], + [ + 922819, + 76008910 + ], + [ + 33434353, + 61205081 + ], + [ + 25855497, + 8769756 + ], + [ + 21478457, + 10942379 + ], + [ + 35059564, + 60285422 + ], + [ + 58352994, + 13573208 + ], + [ + 1242190, + 1907847 + ], + [ + 74347544, + 61926611 + ], + [ + 57714069, + 99178903 + ], + [ + 6921376, + 2368657 + ], + [ + 71341487, + 66512354 + ], + [ + 48415740, + 95063766 + ], + [ + 436043, + 37452923 + ], + [ + 13274676, + 89671477 + ], + [ + 80591134, + 83633268 + ], + [ + 20906443, + 35430834 + ], + [ + 6737911, + 20235826 + ], + [ + 92931618, + 53316248 + ], + [ + 65691613, + 92406645 + ], + [ + 28421355, + 98252840 + ], + [ + 84778677, + 80832471 + ], + [ + 54537320, + 68826423 + ], + [ + 8504184, + 44528699 + ], + [ + 12641510, + 25763464 + ], + [ + 11288589, + 9146629 + ], + [ + 14729019, + 48688915 + ], + [ + 68751191, + 86194097 + ], + [ + 46372685, + 62734228 + ], + [ + 80602889, + 64970671 + ], + [ + 73586356, + 43720098 + ], + [ + 84622801, + 64095979 + ], + [ + 62783882, + 30599064 + ], + [ + 90612872, + 62735830 + ], + [ + 17807754, + 86080458 + ], + [ + 56552011, + 98759619 + ], + [ + 32940168, + 74928773 + ], + [ + 52561294, + 46867119 + ], + [ + 70339671, + 35362767 + ], + [ + 14690660, + 31144615 + ], + [ + 74516158, + 496993 + ], + [ + 60714332, + 81150755 + ], + [ + 79949731, + 33336798 + ], + [ + 97446794, + 59737572 + ], + [ + 15314673, + 86263166 + ], + [ + 44967876, + 21849624 + ], + [ + 64083666, + 24983168 + ], + [ + 43254257, + 25280401 + ], + [ + 86036423, + 39273420 + ], + [ + 75242943, + 26742245 + ], + [ + 38299428, + 96412496 + ], + [ + 439852, + 58709301 + ], + [ + 96984734, + 22866783 + ], + [ + 63781231, + 16272877 + ], + [ + 23410054, + 61032570 + ], + [ + 71683071, + 56736215 + ], + [ + 1972258, + 5262155 + ], + [ + 39258762, + 18505458 + ], + [ + 55107862, + 4931182 + ], + [ + 17463604, + 83275958 + ], + [ + 13197021, + 29079883 + ], + [ + 20454686, + 42464217 + ], + [ + 660210, + 58785064 + ], + [ + 52807451, + 13545699 + ], + [ + 66526305, + 92033202 + ], + [ + 67839687, + 61047417 + ], + [ + 95118222, + 35772028 + ], + [ + 26470163, + 99645957 + ], + [ + 91389728, + 82764292 + ], + [ + 5791878, + 91791688 + ], + [ + 23303965, + 11759655 + ], + [ + 3842914, + 79937534 + ], + [ + 56575926, + 72487689 + ], + [ + 14895161, + 84756096 + ], + [ + 11077050, + 31982284 + ], + [ + 50997443, + 12610448 + ], + [ + 47097748, + 73403985 + ], + [ + 26741901, + 10625074 + ], + [ + 77032535, + 10421683 + ], + [ + 33849791, + 33959403 + ], + [ + 10759359, + 6130816 + ], + [ + 74858286, + 16640801 + ], + [ + 21958677, + 4747458 + ], + [ + 57337088, + 15729757 + ], + [ + 74125305, + 6706736 + ], + [ + 46331588, + 9164268 + ], + [ + 40862852, + 98852435 + ], + [ + 33188295, + 52507845 + ], + [ + 75336171, + 47958969 + ], + [ + 83312210, + 4856228 + ], + [ + 88634526, + 9610072 + ], + [ + 52288637, + 14347723 + ], + [ + 39114787, + 10475207 + ], + [ + 31265391, + 5071542 + ], + [ + 60945258, + 10683173 + ], + [ + 41807369, + 40494223 + ], + [ + 97340564, + 7209162 + ], + [ + 2453642, + 47040267 + ], + [ + 64550249, + 11035684 + ], + [ + 98222094, + 11813943 + ], + [ + 22038390, + 62265644 + ], + [ + 7111621, + 21238626 + ], + [ + 25418519, + 96500253 + ], + [ + 47859149, + 57482948 + ], + [ + 472636, + 34730627 + ], + [ + 56163251, + 95118984 + ], + [ + 12912646, + 95969705 + ], + [ + 33957510, + 48801615 + ], + [ + 39720268, + 36667830 + ], + [ + 10388684, + 28837371 + ], + [ + 26456753, + 81870846 + ], + [ + 94688447, + 89865962 + ], + [ + 88734335, + 53574766 + ], + [ + 90469559, + 6942000 + ], + [ + 807854, + 25142409 + ], + [ + 46760404, + 11218264 + ], + [ + 54366088, + 25783994 + ], + [ + 9829789, + 92864915 + ], + [ + 96418632, + 54972449 + ], + [ + 65731708, + 19068512 + ], + [ + 6633440, + 93800502 + ], + [ + 85754058, + 30845264 + ], + [ + 28895530, + 78893338 + ], + [ + 83746123, + 47016227 + ], + [ + 74240848, + 22733073 + ], + [ + 33701434, + 62418465 + ], + [ + 31289488, + 53677111 + ], + [ + 92828928, + 30024782 + ], + [ + 99160462, + 36891680 + ], + [ + 82295371, + 84720009 + ], + [ + 71042124, + 93192679 + ], + [ + 77768739, + 821050 + ], + [ + 93560235, + 89241967 + ], + [ + 60184315, + 90729513 + ], + [ + 29285076, + 69603803 + ], + [ + 33793184, + 73607409 + ], + [ + 40280411, + 22421686 + ], + [ + 28211452, + 57135640 + ], + [ + 62131670, + 39346736 + ], + [ + 38445740, + 13657017 + ], + [ + 65167293, + 80499724 + ], + [ + 42638415, + 3812598 + ], + [ + 64604534, + 63825740 + ], + [ + 42326821, + 73076474 + ], + [ + 1122162, + 75464231 + ], + [ + 4736558, + 95432804 + ], + [ + 10595847, + 65698060 + ], + [ + 10190835, + 10165138 + ], + [ + 13500185, + 26959851 + ], + [ + 69256515, + 27111274 + ], + [ + 5421866, + 8882871 + ], + [ + 84974569, + 52454319 + ], + [ + 37075303, + 15067830 + ], + [ + 31372448, + 63899588 + ], + [ + 10465201, + 93335286 + ], + [ + 92457502, + 58689270 + ], + [ + 79643005, + 40219918 + ], + [ + 95790210, + 7853376 + ], + [ + 46131200, + 31465223 + ], + [ + 96237660, + 27244205 + ], + [ + 59206162, + 40002369 + ], + [ + 74799312, + 88596715 + ], + [ + 70926728, + 12034097 + ], + [ + 21036173, + 81131277 + ], + [ + 95226109, + 28900102 + ], + [ + 55556175, + 38930944 + ], + [ + 29671924, + 48050755 + ], + [ + 88396441, + 13075797 + ], + [ + 15002400, + 85630857 + ], + [ + 51955510, + 82643371 + ], + [ + 80462795, + 1957240 + ], + [ + 46619910, + 92439849 + ], + [ + 99096394, + 80486656 + ], + [ + 5485133, + 68997527 + ], + [ + 24216348, + 53371743 + ], + [ + 94971884, + 3032355 + ], + [ + 66661438, + 12554252 + ], + [ + 79968655, + 94923199 + ], + [ + 90546005, + 26415236 + ], + [ + 21117028, + 82062323 + ], + [ + 98002096, + 73459299 + ], + [ + 10784571, + 81344282 + ], + [ + 62512817, + 86890652 + ], + [ + 58955295, + 12841921 + ], + [ + 61487783, + 5693105 + ], + [ + 76167803, + 97036222 + ], + [ + 37604920, + 73580237 + ], + [ + 3012348, + 11086947 + ], + [ + 34196663, + 50235915 + ], + [ + 38282254, + 76009438 + ], + [ + 18351122, + 94593652 + ], + [ + 46943821, + 42000394 + ], + [ + 90295639, + 72040848 + ], + [ + 86706366, + 805939 + ], + [ + 96352804, + 42787317 + ], + [ + 33103289, + 44010058 + ], + [ + 35403336, + 34432760 + ], + [ + 80667062, + 66015054 + ], + [ + 95349166, + 63517741 + ], + [ + 70081769, + 43424524 + ], + [ + 80094032, + 3454427 + ], + [ + 96197693, + 66754732 + ], + [ + 80449041, + 45402347 + ], + [ + 80855298, + 53683128 + ], + [ + 7472154, + 73282915 + ], + [ + 40455937, + 69489136 + ], + [ + 38330667, + 85962881 + ], + [ + 41275721, + 3738925 + ], + [ + 89507623, + 52391454 + ], + [ + 697411, + 48322134 + ], + [ + 96748039, + 51170546 + ], + [ + 43109781, + 39435575 + ], + [ + 9733153, + 69196341 + ], + [ + 20118470, + 60038847 + ], + [ + 94759082, + 6708719 + ], + [ + 81186834, + 88820849 + ], + [ + 48348019, + 50835553 + ], + [ + 75152475, + 59469504 + ], + [ + 48956054, + 61002485 + ], + [ + 1756098, + 43640196 + ], + [ + 22318371, + 55274526 + ], + [ + 36722526, + 41924864 + ], + [ + 77116334, + 41718619 + ], + [ + 46530187, + 51145601 + ], + [ + 21244200, + 58615430 + ], + [ + 18733776, + 87328822 + ], + [ + 70766705, + 30987812 + ], + [ + 21570760, + 27347874 + ], + [ + 39759241, + 23426870 + ], + [ + 66255976, + 13962226 + ], + [ + 35542541, + 6335854 + ], + [ + 64632505, + 61587177 + ], + [ + 60239890, + 22849398 + ], + [ + 3758542, + 60289167 + ], + [ + 14487442, + 36675079 + ], + [ + 58570390, + 51573608 + ], + [ + 39245164, + 39655023 + ], + [ + 92913076, + 5613007 + ], + [ + 99948506, + 90746138 + ], + [ + 9559572, + 9039952 + ], + [ + 86915944, + 80571622 + ], + [ + 70756603, + 31871067 + ], + [ + 5043673, + 60973251 + ], + [ + 19959879, + 18896055 + ], + [ + 49889461, + 41265127 + ], + [ + 21831921, + 88481243 + ], + [ + 92431700, + 32568401 + ], + [ + 85481647, + 65292087 + ], + [ + 41215410, + 61843723 + ], + [ + 11548225, + 696669 + ], + [ + 51976406, + 44480317 + ], + [ + 81263902, + 11546140 + ], + [ + 13537806, + 34592689 + ], + [ + 59000941, + 6510627 + ], + [ + 21092210, + 55321151 + ], + [ + 69419357, + 99539194 + ], + [ + 67186483, + 89049113 + ], + [ + 78257802, + 15469945 + ], + [ + 50729981, + 52528913 + ], + [ + 81534264, + 92731489 + ], + [ + 68080154, + 81247004 + ], + [ + 64901834, + 78093257 + ], + [ + 55818945, + 43124747 + ], + [ + 91844079, + 29900252 + ], + [ + 46095398, + 55611763 + ], + [ + 88797939, + 40051339 + ], + [ + 90635892, + 20551273 + ], + [ + 12941072, + 35267062 + ], + [ + 71255423, + 42684910 + ], + [ + 92414759, + 17120811 + ], + [ + 24471322, + 91271018 + ], + [ + 37320108, + 27721429 + ], + [ + 2090109, + 42499641 + ], + [ + 61566573, + 51153771 + ], + [ + 38447384, + 59696116 + ], + [ + 95148795, + 36355020 + ], + [ + 50737253, + 41359694 + ], + [ + 58774516, + 69749313 + ], + [ + 81669969, + 64452941 + ], + [ + 58900348, + 48000000 + ], + [ + 46504975, + 61757391 + ], + [ + 34284604, + 98980641 + ], + [ + 45257471, + 45429917 + ], + [ + 20548650, + 8427753 + ], + [ + 40673359, + 6352206 + ], + [ + 33576711, + 42588752 + ], + [ + 15116813, + 72481142 + ], + [ + 82982242, + 89710273 + ], + [ + 30092890, + 1834121 + ], + [ + 84528138, + 63736066 + ], + [ + 92435715, + 81599593 + ], + [ + 84546246, + 26788523 + ], + [ + 16409091, + 77944924 + ], + [ + 46941771, + 70160090 + ], + [ + 40655249, + 52086898 + ], + [ + 35856255, + 76790094 + ], + [ + 838127, + 44344579 + ], + [ + 67622396, + 43462196 + ], + [ + 42854921, + 45591269 + ], + [ + 48281040, + 75050270 + ], + [ + 4191538, + 62523983 + ], + [ + 476315, + 39736619 + ], + [ + 79974200, + 29151391 + ], + [ + 90075523, + 23292336 + ], + [ + 52650513, + 18597107 + ], + [ + 24712665, + 10406587 + ], + [ + 45098194, + 46961667 + ], + [ + 47289069, + 19346733 + ], + [ + 87845745, + 21823521 + ], + [ + 79177260, + 72909967 + ], + [ + 13900555, + 24114345 + ], + [ + 8688842, + 41607471 + ], + [ + 31678131, + 64097181 + ], + [ + 62568043, + 8109863 + ], + [ + 16866361, + 45910643 + ], + [ + 51498308, + 22193167 + ], + [ + 1101098, + 37499456 + ], + [ + 83791084, + 74807764 + ], + [ + 62019093, + 69914099 + ], + [ + 49500602, + 39298527 + ], + [ + 30494282, + 91709413 + ], + [ + 43033339, + 94701716 + ], + [ + 9553372, + 26087196 + ], + [ + 69174166, + 39692962 + ], + [ + 53917374, + 71177027 + ], + [ + 56100566, + 16347600 + ], + [ + 59194243, + 63199323 + ], + [ + 89010593, + 16346592 + ], + [ + 92714624, + 1168940 + ], + [ + 22026029, + 63894198 + ], + [ + 27478627, + 53924338 + ], + [ + 47604434, + 1549116 + ], + [ + 10010817, + 77941812 + ], + [ + 41667570, + 24950615 + ], + [ + 97364362, + 27797942 + ], + [ + 39702206, + 13888931 + ], + [ + 34101783, + 41868558 + ], + [ + 62862500, + 14792636 + ], + [ + 30627966, + 24373887 + ], + [ + 89327640, + 50784820 + ], + [ + 6915806, + 97760688 + ], + [ + 91307184, + 42968288 + ], + [ + 43666611, + 49651237 + ], + [ + 6515315, + 80517130 + ], + [ + 9568457, + 89106412 + ], + [ + 29736568, + 69036760 + ], + [ + 66393391, + 86188247 + ], + [ + 47029258, + 71410155 + ], + [ + 56657409, + 70919290 + ], + [ + 20433132, + 85917909 + ], + [ + 34049007, + 95213985 + ], + [ + 88863079, + 8749586 + ], + [ + 42663046, + 92826737 + ], + [ + 73556946, + 21968085 + ], + [ + 97645247, + 78733318 + ], + [ + 16877617, + 37266745 + ], + [ + 48055729, + 38943645 + ], + [ + 12186090, + 61833279 + ], + [ + 51943345, + 21954730 + ], + [ + 86709197, + 90321372 + ], + [ + 61939479, + 80429599 + ], + [ + 16861244, + 10466264 + ], + [ + 37371381, + 52668955 + ], + [ + 97077176, + 27683519 + ], + [ + 30998923, + 93280000 + ], + [ + 45753698, + 83236167 + ], + [ + 99884910, + 74421943 + ], + [ + 48133006, + 37484167 + ], + [ + 50206171, + 84669811 + ], + [ + 37909618, + 96804933 + ], + [ + 22518309, + 32804949 + ], + [ + 77612842, + 76382158 + ], + [ + 2134787, + 44157316 + ], + [ + 29736586, + 36390394 + ], + [ + 91146417, + 33451881 + ], + [ + 24992334, + 6201105 + ], + [ + 70208459, + 2753682 + ], + [ + 89108831, + 48354331 + ], + [ + 62848647, + 73953877 + ], + [ + 1905749, + 91843294 + ], + [ + 83962375, + 58533711 + ], + [ + 36103964, + 28640505 + ], + [ + 79671725, + 90964547 + ], + [ + 99454582, + 12381481 + ], + [ + 34612683, + 40506204 + ], + [ + 41111312, + 55958908 + ], + [ + 3269577, + 14937269 + ], + [ + 2358829, + 78855263 + ], + [ + 49430622, + 28026330 + ], + [ + 96087860, + 43037925 + ], + [ + 85113521, + 8220474 + ], + [ + 53254102, + 63846637 + ], + [ + 33890082, + 70388477 + ], + [ + 77291941, + 61303484 + ], + [ + 83775940, + 18060773 + ], + [ + 19009954, + 87887280 + ], + [ + 47778725, + 6776656 + ], + [ + 45730879, + 26738884 + ], + [ + 97022255, + 88107562 + ], + [ + 55058810, + 66314341 + ], + [ + 74929436, + 22371657 + ], + [ + 88828387, + 60052735 + ], + [ + 43079197, + 85362650 + ], + [ + 5266346, + 48935493 + ], + [ + 20565684, + 65451196 + ], + [ + 83332091, + 69403426 + ], + [ + 6968028, + 35430733 + ], + [ + 60168232, + 48507879 + ], + [ + 47921227, + 85950881 + ], + [ + 93058999, + 3613708 + ], + [ + 89272486, + 75016195 + ], + [ + 35065226, + 23979452 + ], + [ + 91917095, + 44672525 + ], + [ + 37659107, + 71022562 + ], + [ + 75835616, + 56534960 + ], + [ + 85781777, + 27102705 + ], + [ + 96722544, + 57376032 + ], + [ + 45336072, + 95399313 + ], + [ + 97170063, + 57576964 + ], + [ + 79800698, + 85006779 + ], + [ + 86533111, + 51877583 + ], + [ + 34213440, + 55181855 + ], + [ + 77147897, + 95262044 + ], + [ + 93911168, + 41341790 + ], + [ + 17589446, + 39410230 + ], + [ + 28174611, + 61398508 + ], + [ + 3309017, + 90363846 + ], + [ + 50557592, + 39376299 + ], + [ + 23527386, + 95109771 + ], + [ + 62237368, + 85095210 + ], + [ + 4808106, + 91977247 + ], + [ + 28196328, + 80332026 + ], + [ + 70793893, + 70182226 + ], + [ + 41556576, + 43943490 + ], + [ + 65658060, + 62569632 + ], + [ + 61034596, + 55329080 + ], + [ + 22116219, + 29270525 + ], + [ + 65493864, + 3064563 + ], + [ + 89839715, + 10438512 + ], + [ + 8046739, + 67984462 + ], + [ + 65083083, + 97432914 + ], + [ + 46678121, + 19507431 + ], + [ + 73645838, + 56229729 + ], + [ + 13267200, + 43673189 + ], + [ + 15017456, + 90206551 + ], + [ + 51656080, + 55218362 + ], + [ + 57411213, + 68403039 + ], + [ + 40762611, + 21932978 + ], + [ + 68630280, + 70118598 + ], + [ + 18351846, + 43614435 + ], + [ + 11355848, + 42885564 + ], + [ + 59772996, + 17520754 + ], + [ + 36678226, + 85484283 + ], + [ + 93227080, + 43902262 + ], + [ + 89591463, + 35873957 + ], + [ + 62646089, + 72890005 + ], + [ + 15054980, + 9379182 + ], + [ + 31564308, + 21460950 + ], + [ + 58589299, + 25530083 + ], + [ + 72372189, + 12243090 + ], + [ + 5499230, + 48259828 + ], + [ + 68019812, + 95249104 + ], + [ + 5604276, + 94611182 + ], + [ + 84541229, + 24047840 + ], + [ + 20409288, + 41506424 + ], + [ + 8260627, + 63147873 + ], + [ + 77174274, + 89050132 + ], + [ + 68526562, + 43154365 + ], + [ + 7448117, + 17219733 + ], + [ + 34544235, + 19786629 + ], + [ + 29469773, + 32852558 + ], + [ + 95398591, + 20515010 + ], + [ + 3680456, + 78658578 + ], + [ + 28530274, + 12394836 + ], + [ + 63540388, + 16031927 + ], + [ + 47933411, + 19425806 + ], + [ + 48121906, + 22328926 + ], + [ + 76023617, + 23154662 + ], + [ + 68396802, + 22083719 + ], + [ + 68760127, + 38345304 + ], + [ + 88468896, + 94309557 + ], + [ + 68012539, + 11634842 + ], + [ + 21191106, + 42028666 + ], + [ + 30583710, + 69118196 + ], + [ + 90431537, + 71299942 + ], + [ + 76096364, + 80565791 + ], + [ + 48537704, + 76143838 + ], + [ + 82149143, + 25799884 + ], + [ + 18041670, + 74368199 + ], + [ + 51391442, + 16745931 + ], + [ + 66378462, + 72854304 + ], + [ + 32855135, + 36213293 + ], + [ + 38970769, + 74976126 + ], + [ + 74625206, + 13310471 + ], + [ + 69587586, + 67403177 + ], + [ + 37503764, + 77143888 + ], + [ + 52525050, + 86309549 + ], + [ + 65364389, + 20915047 + ], + [ + 39567616, + 45413775 + ], + [ + 76544896, + 16713949 + ], + [ + 61911980, + 20217052 + ], + [ + 35799641, + 4589354 + ], + [ + 17796079, + 42768073 + ], + [ + 20576279, + 22823157 + ], + [ + 15690005, + 84164567 + ], + [ + 76743632, + 8273687 + ], + [ + 15074419, + 48844285 + ], + [ + 81949406, + 43172323 + ], + [ + 27919205, + 36428008 + ], + [ + 8263880, + 52781762 + ], + [ + 61563021, + 74677422 + ], + [ + 77280552, + 58594351 + ], + [ + 39125088, + 48033242 + ], + [ + 80434865, + 25591961 + ], + [ + 17240125, + 64433586 + ], + [ + 7181935, + 53969472 + ], + [ + 26236165, + 62039301 + ], + [ + 26130960, + 35162973 + ], + [ + 98555695, + 99181838 + ], + [ + 81167768, + 18236417 + ], + [ + 92449811, + 99201401 + ], + [ + 67016259, + 85456819 + ], + [ + 29560698, + 49810396 + ], + [ + 4869035, + 12845414 + ], + [ + 11432184, + 90004145 + ], + [ + 71287880, + 56700292 + ], + [ + 39791826, + 16841886 + ], + [ + 99127654, + 39147240 + ], + [ + 68243955, + 43663781 + ], + [ + 32219228, + 5754621 + ], + [ + 84981860, + 36812598 + ], + [ + 42823896, + 54175601 + ], + [ + 99069740, + 8482038 + ], + [ + 81383810, + 90430642 + ], + [ + 42688459, + 67730603 + ], + [ + 37354043, + 89104474 + ], + [ + 15237160, + 33683803 + ], + [ + 79054430, + 42162711 + ], + [ + 59286956, + 96971944 + ], + [ + 66025656, + 48854153 + ], + [ + 12098792, + 64336395 + ], + [ + 6522031, + 33403382 + ], + [ + 25955574, + 11138046 + ], + [ + 71777449, + 15594410 + ], + [ + 90574577, + 16792061 + ], + [ + 43400076, + 21513963 + ], + [ + 6558207, + 95215729 + ], + [ + 75756886, + 12633602 + ], + [ + 50072206, + 47372871 + ], + [ + 35209806, + 32259301 + ], + [ + 32151884, + 9501595 + ], + [ + 50970160, + 71213118 + ], + [ + 20636796, + 15579265 + ], + [ + 2243784, + 75089848 + ], + [ + 97878841, + 21557783 + ], + [ + 50323775, + 50983347 + ], + [ + 8135856, + 81572327 + ], + [ + 8407877, + 70236247 + ], + [ + 18676232, + 29512811 + ], + [ + 93078664, + 52562359 + ], + [ + 38038994, + 7106781 + ], + [ + 27735660, + 16779268 + ], + [ + 13088921, + 78160612 + ], + [ + 80707958, + 28733218 + ], + [ + 84044341, + 49309432 + ], + [ + 76677401, + 23841180 + ], + [ + 52377104, + 41346296 + ], + [ + 20859204, + 5249267 + ], + [ + 39269288, + 72225015 + ], + [ + 55678636, + 54976757 + ], + [ + 44918921, + 21269614 + ], + [ + 38999789, + 42458342 + ], + [ + 51789609, + 27643018 + ], + [ + 26345751, + 93639712 + ], + [ + 22806872, + 95938088 + ], + [ + 41579712, + 44618040 + ], + [ + 86184239, + 38711969 + ], + [ + 774651, + 96909411 + ], + [ + 83529989, + 45715832 + ], + [ + 45978448, + 17158632 + ], + [ + 68257649, + 26919996 + ], + [ + 37715302, + 86117178 + ], + [ + 80637455, + 10062044 + ], + [ + 89892342, + 44233630 + ], + [ + 50885429, + 50441754 + ], + [ + 53335119, + 18351791 + ], + [ + 59770970, + 19340766 + ], + [ + 54902007, + 86032855 + ], + [ + 93647760, + 20981601 + ], + [ + 25313167, + 78397023 + ], + [ + 55890168, + 33332612 + ], + [ + 69912499, + 99313076 + ], + [ + 36112317, + 20789419 + ], + [ + 42283977, + 21334331 + ], + [ + 91677517, + 29887992 + ], + [ + 94954950, + 64729378 + ], + [ + 27804287, + 85224474 + ], + [ + 21118099, + 82829822 + ], + [ + 22403185, + 64939404 + ], + [ + 40924685, + 18396254 + ], + [ + 98799801, + 93873205 + ], + [ + 17848107, + 65320854 + ], + [ + 71478506, + 27753894 + ], + [ + 25636364, + 43422113 + ], + [ + 48741927, + 15076331 + ], + [ + 39806609, + 12569254 + ], + [ + 95398332, + 35009562 + ], + [ + 1370539, + 73355633 + ], + [ + 26473556, + 10628881 + ], + [ + 18919136, + 53577832 + ], + [ + 38096568, + 3792967 + ], + [ + 83658475, + 68571358 + ], + [ + 82399744, + 38296441 + ], + [ + 76613742, + 63030386 + ], + [ + 87706356, + 67023359 + ], + [ + 63264793, + 92522992 + ], + [ + 61182579, + 68531079 + ], + [ + 5469445, + 79664353 + ], + [ + 73429287, + 28067221 + ], + [ + 20692371, + 76324712 + ], + [ + 88521961, + 92310932 + ], + [ + 58182110, + 67462743 + ], + [ + 4492359, + 81994927 + ], + [ + 54922728, + 5529466 + ], + [ + 47312333, + 53792604 + ], + [ + 63748328, + 4608961 + ], + [ + 20367713, + 45605879 + ], + [ + 44305141, + 99818116 + ], + [ + 32582113, + 59465418 + ], + [ + 94718028, + 68482399 + ], + [ + 19583472, + 57103397 + ], + [ + 59806302, + 88753825 + ], + [ + 3624429, + 2845541 + ], + [ + 89272449, + 1799356 + ], + [ + 65939996, + 66838993 + ], + [ + 683351, + 56292613 + ], + [ + 32705604, + 4229586 + ], + [ + 84186308, + 55640828 + ], + [ + 61700930, + 90173283 + ], + [ + 19904195, + 21091574 + ], + [ + 69762745, + 96543411 + ], + [ + 22122404, + 18784324 + ], + [ + 77494810, + 59030290 + ], + [ + 71054165, + 62352098 + ], + [ + 28734385, + 39672976 + ], + [ + 87313824, + 40047449 + ], + [ + 84049237, + 72442379 + ], + [ + 94058319, + 5972800 + ], + [ + 9891446, + 31023737 + ], + [ + 14999502, + 501291 + ], + [ + 5733715, + 73986190 + ], + [ + 8907191, + 50852880 + ], + [ + 81272037, + 98398627 + ], + [ + 70967579, + 99571117 + ], + [ + 43450137, + 54596974 + ], + [ + 89881318, + 38249614 + ], + [ + 43465198, + 81759839 + ], + [ + 79781048, + 41929603 + ], + [ + 4109094, + 89603846 + ], + [ + 52963027, + 91513092 + ], + [ + 61747308, + 33423109 + ], + [ + 98932921, + 21608065 + ], + [ + 57664059, + 49956739 + ], + [ + 91426985, + 28453248 + ], + [ + 28433899, + 13432158 + ], + [ + 3863123, + 60043407 + ], + [ + 36152750, + 79706880 + ], + [ + 51441303, + 77558982 + ], + [ + 49697458, + 55475713 + ], + [ + 86854386, + 65114346 + ], + [ + 69331163, + 41229258 + ], + [ + 86622931, + 27958574 + ], + [ + 93225028, + 82659210 + ], + [ + 330340, + 95743640 + ], + [ + 49094559, + 98672614 + ], + [ + 35335573, + 77356600 + ], + [ + 32177167, + 79746177 + ], + [ + 87686378, + 2382457 + ], + [ + 94915085, + 25067855 + ], + [ + 69008491, + 38943169 + ], + [ + 86163856, + 36359872 + ], + [ + 54066669, + 65406518 + ], + [ + 31647290, + 44337616 + ], + [ + 41437860, + 57915229 + ], + [ + 96997147, + 45278749 + ], + [ + 78403059, + 12145978 + ], + [ + 28866688, + 39824293 + ], + [ + 7915381, + 74827770 + ], + [ + 2824674, + 68876961 + ], + [ + 88457920, + 90685122 + ], + [ + 91515882, + 97474 + ], + [ + 81291660, + 97197329 + ], + [ + 1970880, + 46077336 + ], + [ + 45706986, + 60511725 + ], + [ + 28259726, + 13272846 + ], + [ + 51084290, + 25278634 + ], + [ + 31158843, + 56775946 + ], + [ + 47196307, + 41169901 + ], + [ + 7609055, + 84346961 + ], + [ + 71447178, + 89811208 + ], + [ + 80649983, + 42213205 + ], + [ + 1548042, + 99204020 + ], + [ + 80038845, + 765459 + ], + [ + 62510809, + 95975490 + ], + [ + 2826055, + 42151864 + ], + [ + 30178931, + 73545313 + ], + [ + 70199365, + 60996190 + ], + [ + 2331231, + 91291332 + ], + [ + 12637916, + 5878242 + ], + [ + 79406699, + 98950970 + ], + [ + 95135802, + 89972854 + ], + [ + 14663737, + 14169809 + ], + [ + 17741225, + 84620914 + ], + [ + 97856865, + 72325232 + ], + [ + 7902631, + 22644877 + ], + [ + 7906929, + 73402924 + ], + [ + 79654177, + 63705836 + ], + [ + 59628179, + 81187204 + ], + [ + 39443181, + 10042616 + ], + [ + 76421734, + 52737187 + ], + [ + 88422160, + 95598843 + ], + [ + 20522283, + 24975489 + ], + [ + 25036309, + 28797923 + ], + [ + 51887875, + 14952915 + ], + [ + 61937370, + 83545001 + ], + [ + 52326010, + 52914083 + ], + [ + 54825197, + 10028700 + ], + [ + 2680574, + 12271121 + ], + [ + 44914835, + 57945429 + ], + [ + 49971823, + 41351302 + ], + [ + 67578171, + 50385050 + ], + [ + 29310537, + 43748361 + ], + [ + 68582007, + 50092214 + ], + [ + 44680559, + 77718669 + ], + [ + 80127990, + 3683631 + ], + [ + 22452246, + 34640656 + ], + [ + 79926365, + 97852101 + ], + [ + 26280012, + 71090189 + ], + [ + 82657520, + 39142859 + ], + [ + 99579323, + 66174934 + ], + [ + 30064203, + 88121939 + ], + [ + 40651263, + 83307388 + ], + [ + 58187511, + 9995845 + ], + [ + 30839219, + 32111286 + ], + [ + 79513630, + 74751000 + ], + [ + 62787409, + 64142198 + ], + [ + 51009826, + 85799739 + ], + [ + 41621472, + 6239311 + ], + [ + 65972434, + 28153461 + ], + [ + 55798851, + 80640110 + ], + [ + 89659394, + 21976924 + ], + [ + 8954045, + 46137134 + ], + [ + 77295796, + 8420173 + ], + [ + 827161, + 84906845 + ], + [ + 15496423, + 41632582 + ], + [ + 23940924, + 39853820 + ], + [ + 73150787, + 65466780 + ], + [ + 77890699, + 47523944 + ], + [ + 86170395, + 65090190 + ], + [ + 72591393, + 86889861 + ], + [ + 27032155, + 24622776 + ], + [ + 91234205, + 78065936 + ], + [ + 57374543, + 15497198 + ], + [ + 15263807, + 39634045 + ], + [ + 14351520, + 1276975 + ], + [ + 44027130, + 72202047 + ], + [ + 38402965, + 10317616 + ], + [ + 98993619, + 33445049 + ], + [ + 21011458, + 74371055 + ], + [ + 75634352, + 48687673 + ], + [ + 59626204, + 51056199 + ], + [ + 91803562, + 55203991 + ], + [ + 89028565, + 37957952 + ], + [ + 62299637, + 44699225 + ], + [ + 3591760, + 74410136 + ], + [ + 75617807, + 57563522 + ], + [ + 23860185, + 43314327 + ], + [ + 97388263, + 55144431 + ], + [ + 91395334, + 56517498 + ], + [ + 71543680, + 76456517 + ], + [ + 81205565, + 89686916 + ], + [ + 25826744, + 17785833 + ], + [ + 6181791, + 82412212 + ], + [ + 19548244, + 6227441 + ], + [ + 49324008, + 99514474 + ], + [ + 95538461, + 65753553 + ], + [ + 80545418, + 54190673 + ], + [ + 67117887, + 47064705 + ], + [ + 81524869, + 21447345 + ], + [ + 68127963, + 23957976 + ], + [ + 91039568, + 70377063 + ], + [ + 98631781, + 99760177 + ], + [ + 75983758, + 54595566 + ], + [ + 80171647, + 90291082 + ], + [ + 83304845, + 38527948 + ], + [ + 34418261, + 54676868 + ], + [ + 84325063, + 44358445 + ], + [ + 23909898, + 94255279 + ], + [ + 76617762, + 43809975 + ], + [ + 49400507, + 510695 + ], + [ + 74115480, + 49234195 + ], + [ + 20039103, + 69859031 + ], + [ + 39666180, + 14998918 + ], + [ + 2568125, + 52519178 + ], + [ + 31139873, + 10864351 + ], + [ + 95925129, + 59414451 + ], + [ + 80332253, + 47005901 + ], + [ + 1653245, + 20340601 + ], + [ + 8823969, + 92760076 + ], + [ + 49531211, + 91351866 + ], + [ + 57717992, + 3912494 + ], + [ + 17831805, + 56055023 + ], + [ + 6518200, + 81461265 + ], + [ + 68175650, + 86088684 + ], + [ + 35336037, + 72168253 + ], + [ + 10888514, + 34233729 + ], + [ + 62310538, + 8821712 + ], + [ + 35592219, + 85227260 + ], + [ + 20436263, + 95111498 + ], + [ + 74201539, + 27310452 + ], + [ + 69667547, + 5797360 + ], + [ + 62895103, + 72116440 + ], + [ + 84810160, + 46257795 + ], + [ + 60286356, + 42291357 + ], + [ + 23942382, + 32718910 + ], + [ + 46218951, + 31615957 + ], + [ + 79628207, + 45005141 + ], + [ + 64794206, + 76697503 + ], + [ + 19517706, + 29652832 + ], + [ + 24533620, + 31255821 + ], + [ + 1701379, + 98586702 + ], + [ + 66217458, + 35065537 + ], + [ + 34475705, + 34273939 + ], + [ + 65631208, + 43105320 + ], + [ + 73403938, + 17579438 + ], + [ + 63734913, + 34594351 + ], + [ + 20199699, + 44242050 + ], + [ + 97641188, + 84489375 + ], + [ + 9461137, + 59131364 + ], + [ + 95770633, + 45113236 + ], + [ + 33634478, + 88979145 + ], + [ + 85501206, + 53253869 + ], + [ + 23999141, + 43936407 + ], + [ + 11072138, + 77758278 + ], + [ + 39711698, + 69044866 + ], + [ + 49102705, + 34465388 + ], + [ + 85519377, + 80849639 + ], + [ + 39324731, + 91274207 + ], + [ + 66906667, + 64472569 + ], + [ + 24247834, + 504456 + ], + [ + 41348001, + 1121155 + ], + [ + 18556337, + 66924198 + ], + [ + 36363415, + 19752732 + ], + [ + 9663022, + 92031195 + ], + [ + 84047243, + 18055178 + ], + [ + 39683495, + 30094501 + ], + [ + 26199855, + 81878789 + ], + [ + 41436833, + 10383812 + ], + [ + 16852884, + 84891888 + ], + [ + 6539232, + 67889966 + ], + [ + 37087685, + 3926685 + ], + [ + 22561494, + 8949828 + ], + [ + 1855214, + 10549389 + ], + [ + 97236868, + 66888370 + ], + [ + 64892027, + 10376835 + ], + [ + 92025061, + 86909731 + ], + [ + 37032935, + 82556158 + ], + [ + 7363169, + 73344508 + ], + [ + 27753248, + 68122781 + ], + [ + 38389328, + 19168094 + ], + [ + 16134464, + 89548822 + ], + [ + 80335365, + 43346367 + ], + [ + 31600229, + 38559938 + ], + [ + 83770637, + 44675565 + ], + [ + 64271214, + 45332591 + ], + [ + 6002384, + 59436327 + ], + [ + 4878429, + 43790180 + ], + [ + 79894200, + 42535906 + ], + [ + 71340797, + 64949949 + ], + [ + 9474376, + 4791618 + ], + [ + 31126412, + 44171963 + ], + [ + 82154913, + 51436467 + ], + [ + 40910494, + 14455289 + ], + [ + 23535680, + 95750268 + ], + [ + 6601185, + 1203840 + ], + [ + 9599631, + 62185940 + ], + [ + 97444172, + 9759487 + ], + [ + 16952002, + 20848703 + ], + [ + 18880493, + 104038 + ], + [ + 79282843, + 44814953 + ], + [ + 58261286, + 69193358 + ], + [ + 15651890, + 38548960 + ], + [ + 21761410, + 32542388 + ], + [ + 54567060, + 26242360 + ], + [ + 90040122, + 63119440 + ], + [ + 87446227, + 57828460 + ], + [ + 28277758, + 15976855 + ], + [ + 28897322, + 68999814 + ], + [ + 25837405, + 62859426 + ], + [ + 46873975, + 32349969 + ], + [ + 58516130, + 35940492 + ], + [ + 39979263, + 89666242 + ], + [ + 43109559, + 13747062 + ], + [ + 56189866, + 54364640 + ], + [ + 12218555, + 17474135 + ], + [ + 77300097, + 31223910 + ], + [ + 34307800, + 93424831 + ], + [ + 18642669, + 42642655 + ], + [ + 68583504, + 58942387 + ], + [ + 76212467, + 46895217 + ], + [ + 18467537, + 27045591 + ], + [ + 48830915, + 91855921 + ], + [ + 3266942, + 2624646 + ], + [ + 3882214, + 26835195 + ], + [ + 60807172, + 65172103 + ], + [ + 53216627, + 89472863 + ], + [ + 34621876, + 64304436 + ], + [ + 57635374, + 41211472 + ], + [ + 52162460, + 70663474 + ], + [ + 20437444, + 95471568 + ], + [ + 81553953, + 99902769 + ], + [ + 34085292, + 81680746 + ], + [ + 97561260, + 49921422 + ], + [ + 91535462, + 21305423 + ], + [ + 22158423, + 59432271 + ], + [ + 64738360, + 67648601 + ], + [ + 94438336, + 66006804 + ], + [ + 64670292, + 85504535 + ], + [ + 9803629, + 90627686 + ], + [ + 25234962, + 69105668 + ], + [ + 32817254, + 42711403 + ], + [ + 96931874, + 21606754 + ], + [ + 16865068, + 77023146 + ], + [ + 9618282, + 80017778 + ], + [ + 64716328, + 51435124 + ], + [ + 86668308, + 7181572 + ], + [ + 56658775, + 23686225 + ], + [ + 30570099, + 63000359 + ], + [ + 71691775, + 54865786 + ], + [ + 91494159, + 57810684 + ], + [ + 10198275, + 4995577 + ], + [ + 16282792, + 67229584 + ], + [ + 84098537, + 22972343 + ], + [ + 50096572, + 93135142 + ], + [ + 54174188, + 70441608 + ], + [ + 50100647, + 70924835 + ], + [ + 32714361, + 51605912 + ], + [ + 89390800, + 95045840 + ], + [ + 87895375, + 2924515 + ], + [ + 19027504, + 94503933 + ], + [ + 63996794, + 6899438 + ], + [ + 28868794, + 76907658 + ], + [ + 54653951, + 75055541 + ], + [ + 98220478, + 73254129 + ], + [ + 44321477, + 55315634 + ], + [ + 28994284, + 56399378 + ], + [ + 4724585, + 99024576 + ], + [ + 91014481, + 7774151 + ], + [ + 44321784, + 89712920 + ], + [ + 81042499, + 99035252 + ], + [ + 48180079, + 16396425 + ], + [ + 65170635, + 74980510 + ], + [ + 72634491, + 35741633 + ], + [ + 16402700, + 61335817 + ], + [ + 68141510, + 30904497 + ], + [ + 11261295, + 50637038 + ], + [ + 39262125, + 16735297 + ], + [ + 23065556, + 47528768 + ], + [ + 32468497, + 62115158 + ], + [ + 69256081, + 45319225 + ], + [ + 69767475, + 66333596 + ], + [ + 31395866, + 668717 + ], + [ + 39172036, + 47603913 + ], + [ + 21590613, + 19995113 + ], + [ + 10976707, + 52639219 + ], + [ + 32069631, + 178766 + ], + [ + 43576735, + 79772168 + ], + [ + 4224377, + 28665782 + ], + [ + 2867054, + 17339909 + ], + [ + 67429823, + 24274598 + ], + [ + 70791952, + 23152750 + ], + [ + 27002019, + 96133694 + ], + [ + 63007699, + 69055731 + ], + [ + 29710076, + 38638644 + ], + [ + 94042, + 30439987 + ], + [ + 75077321, + 78966771 + ], + [ + 83683127, + 83032239 + ], + [ + 94673946, + 33321987 + ], + [ + 26280123, + 72645282 + ], + [ + 51881394, + 36496059 + ], + [ + 99108847, + 96144661 + ], + [ + 60944008, + 61214172 + ], + [ + 12170292, + 53405024 + ], + [ + 41580649, + 14301651 + ], + [ + 64334008, + 94474830 + ], + [ + 42575613, + 30222979 + ], + [ + 20078292, + 90616619 + ], + [ + 77963874, + 7684571 + ], + [ + 34708764, + 2302770 + ], + [ + 63014028, + 17676968 + ], + [ + 23969150, + 20096029 + ], + [ + 7677572, + 70821811 + ], + [ + 12465835, + 3961081 + ], + [ + 33503262, + 46252419 + ], + [ + 44896290, + 91209094 + ], + [ + 40887920, + 80208544 + ], + [ + 30214727, + 50472277 + ], + [ + 42856998, + 29960410 + ], + [ + 45599606, + 71957876 + ], + [ + 25130307, + 786683 + ], + [ + 33389586, + 85537554 + ], + [ + 58721374, + 7451571 + ], + [ + 78350914, + 28606714 + ], + [ + 10757379, + 65285445 + ], + [ + 11888337, + 35099453 + ], + [ + 70490937, + 94232662 + ], + [ + 14096948, + 52507420 + ], + [ + 63026141, + 76875940 + ], + [ + 26625360, + 50591702 + ], + [ + 85317868, + 36162925 + ], + [ + 95857839, + 38625714 + ], + [ + 35857878, + 67376271 + ], + [ + 71306391, + 55377419 + ], + [ + 42162468, + 19283668 + ], + [ + 75768478, + 6468615 + ], + [ + 62303776, + 75490731 + ], + [ + 46233148, + 22939202 + ], + [ + 57141677, + 44603788 + ], + [ + 972050, + 64243974 + ], + [ + 26884242, + 23473157 + ], + [ + 76609273, + 91554064 + ], + [ + 695793, + 79990834 + ], + [ + 19035342, + 97726328 + ], + [ + 56724295, + 10965998 + ], + [ + 11494251, + 67460203 + ], + [ + 48713303, + 39665433 + ], + [ + 30812870, + 43305730 + ], + [ + 81614015, + 91758219 + ], + [ + 42801613, + 34181256 + ], + [ + 24480865, + 81926409 + ], + [ + 30442602, + 15565747 + ], + [ + 45547862, + 10526631 + ], + [ + 84718077, + 72097169 + ], + [ + 30750698, + 93218103 + ], + [ + 25054631, + 96951194 + ], + [ + 2668155, + 89195175 + ], + [ + 29061882, + 41352509 + ], + [ + 64250353, + 86761345 + ], + [ + 91076796, + 33248905 + ], + [ + 99690961, + 36311820 + ], + [ + 50453391, + 89346755 + ], + [ + 42580119, + 20373684 + ], + [ + 5315656, + 75987466 + ], + [ + 3600249, + 44773118 + ], + [ + 5909699, + 86308557 + ], + [ + 47048235, + 9145013 + ], + [ + 49920810, + 54275237 + ], + [ + 86582987, + 74673048 + ], + [ + 37211855, + 64089209 + ], + [ + 14698516, + 10174986 + ], + [ + 24426996, + 65900817 + ], + [ + 57272337, + 14458926 + ], + [ + 55738135, + 43069393 + ], + [ + 19691767, + 69225580 + ], + [ + 70115040, + 73502560 + ], + [ + 14577125, + 90004202 + ], + [ + 49589826, + 61411370 + ], + [ + 68696003, + 28976458 + ], + [ + 14574371, + 36427595 + ], + [ + 1301826, + 89869995 + ], + [ + 55458838, + 15299506 + ], + [ + 32875740, + 83422431 + ], + [ + 69947882, + 87211174 + ], + [ + 36699169, + 98118090 + ], + [ + 91653031, + 81092731 + ], + [ + 6070335, + 35477357 + ], + [ + 13774631, + 69174277 + ], + [ + 84977655, + 34609707 + ], + [ + 86465478, + 79548222 + ], + [ + 61594237, + 11114161 + ], + [ + 240601, + 98572796 + ], + [ + 33709815, + 12068871 + ], + [ + 22892528, + 2174562 + ], + [ + 13976388, + 97887916 + ], + [ + 25148303, + 57841742 + ], + [ + 99432779, + 270726 + ], + [ + 91753835, + 90011309 + ], + [ + 81400967, + 82746958 + ], + [ + 28746700, + 38542228 + ], + [ + 8199614, + 54954616 + ], + [ + 66810876, + 98527673 + ], + [ + 61450500, + 36542284 + ], + [ + 97158136, + 37108202 + ], + [ + 20506950, + 96898131 + ], + [ + 95945519, + 34784122 + ], + [ + 38729014, + 61732377 + ], + [ + 7952736, + 61278820 + ], + [ + 35154825, + 13579227 + ], + [ + 90959867, + 12726582 + ], + [ + 89224494, + 8444498 + ], + [ + 64480210, + 20724175 + ], + [ + 59637967, + 60770171 + ], + [ + 80639891, + 52221594 + ], + [ + 51068756, + 45712205 + ], + [ + 4535232, + 90098050 + ], + [ + 7422327, + 37576906 + ], + [ + 12849981, + 86428956 + ], + [ + 83450346, + 74643040 + ], + [ + 34459776, + 3976793 + ], + [ + 94443977, + 61750188 + ], + [ + 55036630, + 56357689 + ], + [ + 47902748, + 11980770 + ], + [ + 38262948, + 80409983 + ], + [ + 84992, + 16845890 + ], + [ + 56555879, + 1434442 + ], + [ + 92366869, + 7237614 + ], + [ + 1082721, + 64505597 + ], + [ + 28050955, + 67400409 + ], + [ + 36146571, + 76610054 + ], + [ + 54009061, + 83960591 + ], + [ + 89598915, + 87283573 + ], + [ + 688035, + 39378365 + ], + [ + 59554343, + 65719061 + ], + [ + 87515936, + 13908706 + ], + [ + 6211913, + 74013799 + ], + [ + 55002204, + 84385266 + ], + [ + 64532066, + 21954944 + ], + [ + 41745016, + 37841998 + ], + [ + 39749693, + 49282247 + ], + [ + 90988248, + 11335335 + ], + [ + 33236468, + 84191245 + ], + [ + 82723462, + 60694373 + ], + [ + 72720223, + 36024436 + ], + [ + 47252971, + 90714374 + ], + [ + 40963176, + 54827059 + ], + [ + 83284982, + 95305160 + ], + [ + 66284623, + 42089861 + ], + [ + 69541471, + 25037437 + ], + [ + 92793842, + 9984509 + ], + [ + 66843396, + 16269977 + ], + [ + 10965451, + 10509848 + ], + [ + 4302267, + 90606451 + ], + [ + 65769607, + 6171703 + ], + [ + 74001005, + 22229182 + ], + [ + 38607686, + 97177277 + ], + [ + 70649687, + 61934914 + ], + [ + 36288573, + 17025154 + ], + [ + 56128764, + 25933855 + ], + [ + 7245959, + 98491797 + ], + [ + 12958866, + 51349328 + ], + [ + 89726730, + 12521673 + ], + [ + 19736230, + 75223098 + ], + [ + 51477546, + 90461737 + ], + [ + 93361707, + 49502104 + ], + [ + 24692251, + 86614406 + ], + [ + 35722199, + 71033574 + ], + [ + 68660288, + 51008206 + ], + [ + 72828867, + 76147263 + ], + [ + 69377850, + 70061251 + ], + [ + 98144860, + 37733132 + ], + [ + 11898230, + 10435452 + ], + [ + 34976097, + 5325461 + ], + [ + 57835063, + 24532611 + ], + [ + 1226534, + 39333794 + ], + [ + 38170640, + 96110562 + ], + [ + 21313244, + 53979463 + ], + [ + 24870453, + 65850589 + ], + [ + 85218359, + 45074106 + ], + [ + 74386871, + 33892947 + ], + [ + 53836598, + 34911856 + ], + [ + 8947687, + 72204116 + ], + [ + 81695794, + 75770190 + ], + [ + 32904884, + 34178322 + ], + [ + 85559106, + 79164207 + ], + [ + 93898803, + 11196410 + ], + [ + 33567154, + 3160358 + ], + [ + 60752588, + 78466407 + ], + [ + 31348586, + 45533939 + ], + [ + 54594340, + 56803995 + ], + [ + 81432797, + 70291426 + ], + [ + 44029240, + 74531201 + ], + [ + 78536841, + 29708124 + ], + [ + 57474303, + 11006402 + ], + [ + 85749548, + 89263943 + ], + [ + 54327531, + 12582922 + ], + [ + 60007018, + 20810483 + ], + [ + 24210951, + 94630513 + ], + [ + 18998287, + 24367972 + ], + [ + 92904949, + 52510669 + ], + [ + 99635671, + 90945398 + ], + [ + 95478215, + 63603289 + ], + [ + 52189728, + 58848917 + ], + [ + 19004937, + 54371888 + ], + [ + 34608298, + 85488921 + ], + [ + 73534416, + 79035838 + ], + [ + 14955839, + 77543799 + ], + [ + 77065320, + 59445138 + ], + [ + 45071490, + 7120571 + ], + [ + 63330582, + 62850935 + ], + [ + 28406468, + 33375207 + ], + [ + 41255200, + 53610901 + ], + [ + 49977411, + 92585646 + ], + [ + 34544270, + 19634480 + ], + [ + 59142707, + 63500489 + ], + [ + 8524602, + 40503946 + ], + [ + 93896752, + 54519140 + ], + [ + 45481190, + 42039112 + ], + [ + 14899033, + 1555558 + ], + [ + 90513915, + 43846191 + ], + [ + 29642953, + 57509894 + ], + [ + 86298773, + 14591817 + ], + [ + 24360047, + 99754835 + ], + [ + 15927431, + 21683063 + ], + [ + 29195434, + 46397024 + ], + [ + 35686130, + 38326249 + ], + [ + 67450746, + 27499301 + ], + [ + 1124279, + 27545004 + ], + [ + 61139978, + 16703609 + ], + [ + 80494214, + 89576518 + ], + [ + 471312, + 46857308 + ], + [ + 65198737, + 62839635 + ], + [ + 93335766, + 86777769 + ], + [ + 71196662, + 89816025 + ], + [ + 63878695, + 24581781 + ], + [ + 76388699, + 98439867 + ], + [ + 63982863, + 40757394 + ], + [ + 57280576, + 57174852 + ], + [ + 75760224, + 27101120 + ], + [ + 86056048, + 4003988 + ], + [ + 76157424, + 89110239 + ], + [ + 64940368, + 90059464 + ], + [ + 66567514, + 15709608 + ], + [ + 81166270, + 5780338 + ], + [ + 44179671, + 71613609 + ], + [ + 98315238, + 4842749 + ], + [ + 66706836, + 47725616 + ], + [ + 16847389, + 70189385 + ], + [ + 63452563, + 16779598 + ], + [ + 92360851, + 42029318 + ], + [ + 27324559, + 50824937 + ], + [ + 3803188, + 92318012 + ], + [ + 42328204, + 87605152 + ], + [ + 87409288, + 11267980 + ], + [ + 81709292, + 75843184 + ], + [ + 26967662, + 3282316 + ], + [ + 45545550, + 29759619 + ], + [ + 61030601, + 44620058 + ], + [ + 61332083, + 44880448 + ], + [ + 87205605, + 26014369 + ], + [ + 94037800, + 4319566 + ], + [ + 42622654, + 33174175 + ], + [ + 59051968, + 63362307 + ], + [ + 78646972, + 36274595 + ], + [ + 64092743, + 10082124 + ], + [ + 98120125, + 23878567 + ], + [ + 30262143, + 58141640 + ], + [ + 76137492, + 91242604 + ], + [ + 12639228, + 48174131 + ], + [ + 41438704, + 11001321 + ], + [ + 85178615, + 123356 + ], + [ + 42971407, + 19898580 + ], + [ + 14963280, + 90941565 + ], + [ + 86394325, + 77662184 + ], + [ + 34427447, + 53233642 + ], + [ + 33140207, + 55647618 + ], + [ + 40002412, + 18470584 + ], + [ + 47816381, + 48783909 + ], + [ + 41429881, + 7703097 + ], + [ + 53647273, + 78137253 + ], + [ + 69993453, + 19667166 + ], + [ + 58271353, + 65070005 + ], + [ + 34252485, + 70142043 + ], + [ + 53720294, + 60313288 + ], + [ + 67002765, + 38562646 + ], + [ + 23244527, + 19212927 + ], + [ + 10168887, + 94207993 + ], + [ + 47303101, + 77401468 + ], + [ + 69920493, + 74688717 + ], + [ + 46411438, + 96707534 + ], + [ + 80016866, + 65646094 + ], + [ + 88406367, + 53421113 + ], + [ + 81884704, + 73155535 + ], + [ + 64727301, + 35150427 + ], + [ + 43795390, + 16838377 + ], + [ + 55083244, + 85433788 + ], + [ + 76839463, + 57809861 + ], + [ + 78718397, + 20527604 + ], + [ + 11556888, + 28215486 + ], + [ + 74082475, + 48975680 + ], + [ + 40109180, + 76898121 + ], + [ + 8049878, + 66102757 + ], + [ + 55417317, + 80022910 + ], + [ + 6324665, + 77637575 + ], + [ + 55000967, + 88095189 + ], + [ + 17040361, + 50069769 + ], + [ + 26613842, + 545182 + ], + [ + 25717479, + 65526027 + ], + [ + 9830992, + 8979 + ], + [ + 95834762, + 58405903 + ], + [ + 497608, + 96563915 + ], + [ + 52842790, + 95924334 + ], + [ + 18786801, + 55965973 + ], + [ + 3628726, + 63137527 + ], + [ + 47799345, + 95728510 + ], + [ + 62496995, + 38771485 + ], + [ + 14362103, + 41972432 + ], + [ + 73782153, + 15886554 + ], + [ + 30533234, + 96203 + ], + [ + 97789452, + 28612508 + ], + [ + 24298692, + 16089062 + ], + [ + 12604892, + 37457312 + ], + [ + 4511857, + 42820966 + ], + [ + 11564838, + 16600548 + ], + [ + 81994559, + 33033366 + ], + [ + 7187680, + 41183542 + ], + [ + 57959227, + 21333174 + ], + [ + 20779863, + 38739170 + ], + [ + 33920830, + 10163231 + ], + [ + 52991859, + 25843360 + ], + [ + 2860562, + 68759962 + ], + [ + 72709009, + 40019201 + ], + [ + 55499879, + 35162720 + ], + [ + 94049779, + 70574555 + ], + [ + 69504788, + 81646305 + ], + [ + 10006511, + 28863728 + ], + [ + 94943712, + 32254673 + ], + [ + 97727944, + 38194942 + ], + [ + 23237966, + 79321747 + ], + [ + 72714873, + 91515863 + ], + [ + 9818988, + 27221345 + ], + [ + 55300879, + 32477892 + ], + [ + 8370292, + 30772205 + ], + [ + 16111522, + 85000548 + ], + [ + 40143864, + 84253700 + ], + [ + 24445654, + 72840098 + ], + [ + 49866860, + 46914979 + ], + [ + 94774462, + 6364911 + ], + [ + 35996058, + 24344418 + ], + [ + 99178189, + 94457619 + ], + [ + 12845488, + 24094234 + ], + [ + 70505301, + 47216953 + ], + [ + 48019480, + 82024043 + ], + [ + 2683236, + 31343588 + ], + [ + 18470771, + 43521241 + ], + [ + 54317635, + 36443241 + ], + [ + 7529279, + 79636044 + ], + [ + 16988286, + 38105941 + ], + [ + 38388653, + 94775667 + ], + [ + 78088516, + 36129244 + ], + [ + 16498286, + 63743188 + ], + [ + 92482562, + 21608691 + ], + [ + 78270509, + 79120428 + ], + [ + 54745125, + 33527768 + ], + [ + 77937072, + 16412502 + ], + [ + 98195036, + 56228934 + ], + [ + 74692604, + 56591972 + ], + [ + 382045, + 9435181 + ], + [ + 76465293, + 67858932 + ], + [ + 39855522, + 80338971 + ], + [ + 69497457, + 4958534 + ], + [ + 45763828, + 7356192 + ], + [ + 16722132, + 81955566 + ], + [ + 18687472, + 21532546 + ], + [ + 13710161, + 96424821 + ], + [ + 4965150, + 91631874 + ], + [ + 2350648, + 79713318 + ], + [ + 68730687, + 72727459 + ], + [ + 75525305, + 26183454 + ], + [ + 32033908, + 84983768 + ], + [ + 76146275, + 84355461 + ], + [ + 45051216, + 58630962 + ], + [ + 87710357, + 46715069 + ], + [ + 92560047, + 42234980 + ], + [ + 29984091, + 61170619 + ], + [ + 50911937, + 73618922 + ], + [ + 62369784, + 91628676 + ], + [ + 47707689, + 51224493 + ], + [ + 56626345, + 24085041 + ], + [ + 2229086, + 41168892 + ], + [ + 9260608, + 21412050 + ], + [ + 21641894, + 44410075 + ], + [ + 5063073, + 30006127 + ], + [ + 57246910, + 79717920 + ], + [ + 21743520, + 29895943 + ], + [ + 32377572, + 94156459 + ], + [ + 51606973, + 8875357 + ], + [ + 68955035, + 16564235 + ], + [ + 68029357, + 83657617 + ], + [ + 58066312, + 23265852 + ], + [ + 82818842, + 6885085 + ], + [ + 36510022, + 61143684 + ], + [ + 1693033, + 13489159 + ], + [ + 54153329, + 29649842 + ], + [ + 84319739, + 24835813 + ], + [ + 75532356, + 67099070 + ], + [ + 67902610, + 51230483 + ], + [ + 30426628, + 24521084 + ], + [ + 53170412, + 44370305 + ], + [ + 6893465, + 67816877 + ], + [ + 58824801, + 98408576 + ], + [ + 87871983, + 86084433 + ], + [ + 29736024, + 93119433 + ], + [ + 69332338, + 34595144 + ], + [ + 30182289, + 93535189 + ], + [ + 54726523, + 39022212 + ], + [ + 1102260, + 77932562 + ], + [ + 32841103, + 32005003 + ], + [ + 72143948, + 86597742 + ], + [ + 45398142, + 1446984 + ], + [ + 89501662, + 47662003 + ], + [ + 75326211, + 68751604 + ], + [ + 72471713, + 535807 + ], + [ + 81369353, + 79260385 + ], + [ + 73946737, + 55462601 + ], + [ + 97323603, + 63861524 + ], + [ + 1920365, + 41045313 + ], + [ + 71302970, + 8553318 + ], + [ + 80139129, + 98846431 + ], + [ + 26347823, + 81676829 + ], + [ + 32906313, + 75003554 + ], + [ + 55504424, + 12702951 + ], + [ + 3756130, + 20424087 + ], + [ + 63278970, + 3097963 + ], + [ + 6847586, + 44459991 + ], + [ + 77473280, + 98117695 + ], + [ + 48920971, + 849123 + ], + [ + 80706539, + 11951255 + ], + [ + 14671478, + 42710426 + ], + [ + 56305716, + 2175634 + ], + [ + 42526711, + 67071714 + ], + [ + 80025483, + 90065052 + ], + [ + 89759363, + 44349355 + ], + [ + 2729191, + 74223514 + ], + [ + 43085317, + 43730607 + ], + [ + 86502817, + 21937649 + ], + [ + 84402257, + 93406484 + ], + [ + 34448727, + 29013688 + ], + [ + 69782108, + 66002982 + ], + [ + 4985689, + 1008064 + ], + [ + 90565884, + 15014354 + ], + [ + 72024423, + 47003496 + ], + [ + 89785491, + 52964636 + ], + [ + 84627249, + 82762990 + ], + [ + 44235810, + 92400086 + ], + [ + 39506979, + 13453548 + ], + [ + 73372514, + 48638574 + ], + [ + 63651389, + 81862401 + ], + [ + 35682455, + 69139056 + ], + [ + 31234733, + 93720243 + ], + [ + 90339306, + 70664771 + ], + [ + 89552294, + 42508418 + ], + [ + 42455342, + 66131905 + ], + [ + 30707365, + 25348209 + ], + [ + 63581317, + 23780846 + ], + [ + 60676114, + 91750607 + ], + [ + 32085421, + 12781302 + ], + [ + 55732185, + 7449600 + ], + [ + 29918810, + 81211588 + ], + [ + 6009131, + 63930083 + ], + [ + 2164737, + 84582881 + ], + [ + 55930120, + 15305757 + ], + [ + 64720360, + 54248510 + ], + [ + 70494618, + 41874376 + ], + [ + 25800078, + 4884514 + ], + [ + 6422521, + 30914762 + ], + [ + 48507889, + 25432504 + ], + [ + 44374426, + 36729529 + ], + [ + 56320869, + 17179024 + ], + [ + 8841607, + 25643024 + ], + [ + 46467281, + 52026239 + ], + [ + 90407629, + 88224617 + ], + [ + 62269925, + 45325227 + ], + [ + 47364000, + 13051154 + ], + [ + 29303843, + 83211682 + ], + [ + 22521325, + 23039461 + ], + [ + 82519797, + 97090060 + ], + [ + 43480821, + 9115014 + ], + [ + 82758966, + 67192631 + ], + [ + 28759630, + 64091358 + ], + [ + 20980865, + 29286419 + ], + [ + 32114295, + 62909913 + ], + [ + 89405423, + 8176376 + ], + [ + 3330744, + 74779736 + ], + [ + 4189079, + 27279314 + ], + [ + 39026459, + 63040462 + ], + [ + 49843180, + 21082938 + ], + [ + 10749657, + 18505384 + ], + [ + 16184476, + 97740132 + ], + [ + 25892869, + 79892518 + ], + [ + 28511300, + 97974921 + ], + [ + 41587623, + 62361591 + ], + [ + 8372268, + 76256074 + ], + [ + 61201133, + 37569670 + ], + [ + 7548662, + 72600443 + ], + [ + 56980341, + 22840551 + ], + [ + 53183844, + 47710120 + ], + [ + 29857034, + 42520065 + ], + [ + 16490192, + 77570423 + ], + [ + 12799394, + 42880261 + ], + [ + 20317918, + 76688618 + ], + [ + 12419246, + 87665436 + ], + [ + 9664817, + 15662324 + ], + [ + 53768778, + 14677803 + ], + [ + 30341631, + 8904292 + ], + [ + 94292000, + 56823529 + ], + [ + 70041109, + 68426850 + ], + [ + 2002274, + 1585799 + ], + [ + 73734983, + 73698371 + ], + [ + 47039521, + 16359885 + ], + [ + 55066573, + 73948882 + ], + [ + 31465409, + 27337178 + ], + [ + 26766896, + 89554100 + ], + [ + 38324335, + 52990359 + ], + [ + 34658639, + 26264605 + ], + [ + 13556821, + 74708353 + ], + [ + 96553789, + 13211950 + ], + [ + 30663157, + 94967165 + ], + [ + 91571023, + 59894068 + ], + [ + 30047000, + 3400554 + ], + [ + 40459667, + 19040735 + ], + [ + 20564859, + 53493564 + ], + [ + 24819267, + 26292729 + ], + [ + 10277675, + 91482311 + ], + [ + 6951096, + 66787565 + ], + [ + 30970227, + 18768334 + ], + [ + 17929332, + 36782940 + ], + [ + 61843825, + 67445810 + ], + [ + 44858491, + 51592861 + ], + [ + 51779670, + 80979834 + ], + [ + 19091435, + 85340370 + ], + [ + 2902412, + 6241544 + ], + [ + 13900760, + 84868523 + ], + [ + 77725204, + 7471031 + ], + [ + 76672037, + 51942108 + ], + [ + 21582297, + 20430554 + ], + [ + 28538193, + 8973198 + ], + [ + 17440104, + 57533887 + ], + [ + 1573103, + 81249497 + ], + [ + 42570898, + 63094025 + ], + [ + 73401731, + 65054869 + ], + [ + 86024365, + 30404695 + ], + [ + 72343435, + 57173243 + ], + [ + 81234452, + 3394398 + ], + [ + 94240363, + 13679512 + ], + [ + 10352061, + 61694572 + ], + [ + 66398487, + 92796217 + ], + [ + 48097571, + 21795819 + ], + [ + 32636857, + 24160094 + ], + [ + 65076238, + 92057384 + ], + [ + 75360910, + 2103134 + ], + [ + 3334006, + 5393599 + ], + [ + 7510189, + 20423645 + ], + [ + 91179987, + 36991040 + ], + [ + 72929654, + 32177908 + ], + [ + 30044046, + 93947995 + ], + [ + 76166411, + 80213378 + ], + [ + 23349640, + 55080409 + ], + [ + 80661570, + 20380201 + ], + [ + 66221045, + 7536885 + ], + [ + 28712272, + 80051837 + ], + [ + 84772011, + 91988558 + ], + [ + 74840250, + 68048173 + ], + [ + 55835952, + 22227682 + ], + [ + 86862807, + 10060163 + ], + [ + 13518596, + 9821347 + ], + [ + 80481055, + 6635159 + ], + [ + 79366125, + 93373927 + ], + [ + 26771035, + 27149994 + ], + [ + 33335644, + 709506 + ], + [ + 94076203, + 93223775 + ], + [ + 11687776, + 99078452 + ], + [ + 34111920, + 95773949 + ], + [ + 53643494, + 18204313 + ], + [ + 24833370, + 3186110 + ], + [ + 85876296, + 76999980 + ], + [ + 17251643, + 87156655 + ], + [ + 71964777, + 31552111 + ], + [ + 58331022, + 8494242 + ], + [ + 84012190, + 46581472 + ], + [ + 42512981, + 20630351 + ], + [ + 25260647, + 50167256 + ], + [ + 51009442, + 25334679 + ], + [ + 49899356, + 91181629 + ], + [ + 41657626, + 3200530 + ], + [ + 10819879, + 83728102 + ], + [ + 68436915, + 40082891 + ], + [ + 36713631, + 23244552 + ], + [ + 48634116, + 38092931 + ], + [ + 74981545, + 30592940 + ], + [ + 77861556, + 64150327 + ], + [ + 42614501, + 9627885 + ], + [ + 96104958, + 8121541 + ], + [ + 14289761, + 8768255 + ], + [ + 87910881, + 96846187 + ], + [ + 28361650, + 22885158 + ], + [ + 99890859, + 70398900 + ], + [ + 73455223, + 50393519 + ], + [ + 3690167, + 64878157 + ], + [ + 64331973, + 87788295 + ], + [ + 52976824, + 96596466 + ], + [ + 26813750, + 751848 + ], + [ + 43676088, + 47328768 + ], + [ + 88067890, + 96038873 + ], + [ + 9779387, + 17135312 + ], + [ + 61385172, + 47193452 + ], + [ + 11358901, + 43756054 + ], + [ + 3340486, + 45244984 + ], + [ + 19102351, + 11076734 + ], + [ + 12330844, + 40501723 + ], + [ + 94228891, + 46472568 + ], + [ + 30143932, + 827250 + ], + [ + 73784963, + 79142368 + ], + [ + 92770540, + 91937765 + ], + [ + 85205952, + 89608150 + ], + [ + 84519050, + 43386539 + ], + [ + 64917730, + 72910794 + ], + [ + 8092537, + 3538925 + ], + [ + 50434866, + 5380673 + ], + [ + 88971210, + 42126890 + ], + [ + 18681325, + 751743 + ], + [ + 2765595, + 2898964 + ], + [ + 8027308, + 68222392 + ], + [ + 84202294, + 10461705 + ], + [ + 55841575, + 96238052 + ], + [ + 66610831, + 97654069 + ], + [ + 85456093, + 11088562 + ], + [ + 95346629, + 28037010 + ], + [ + 31808872, + 51639845 + ], + [ + 28221391, + 20121857 + ], + [ + 60584902, + 48606883 + ], + [ + 34648775, + 51854302 + ], + [ + 87008273, + 76669615 + ], + [ + 97847274, + 70900089 + ], + [ + 41954096, + 384926 + ], + [ + 10944892, + 65587172 + ], + [ + 98707302, + 42236568 + ], + [ + 12444424, + 64519747 + ], + [ + 44633108, + 64417950 + ], + [ + 40013941, + 36585806 + ], + [ + 71875349, + 50059843 + ], + [ + 48244610, + 68536359 + ], + [ + 31479764, + 52337172 + ], + [ + 75198542, + 87544356 + ], + [ + 60743055, + 76583818 + ], + [ + 74021073, + 67259750 + ], + [ + 28563517, + 11040745 + ], + [ + 27866476, + 91888810 + ], + [ + 85672902, + 77082313 + ], + [ + 37223321, + 67315118 + ], + [ + 10702393, + 69816291 + ], + [ + 21172642, + 29967398 + ], + [ + 55241341, + 91362846 + ], + [ + 62627917, + 89647902 + ], + [ + 85345703, + 40770735 + ], + [ + 20825348, + 73606940 + ], + [ + 44503838, + 29337690 + ], + [ + 71941504, + 69687846 + ], + [ + 56576741, + 3893048 + ], + [ + 41717963, + 67547592 + ], + [ + 80320726, + 9433910 + ], + [ + 8853050, + 2776576 + ], + [ + 47541988, + 69688845 + ], + [ + 710207, + 39103719 + ], + [ + 52781128, + 50180097 + ], + [ + 3799638, + 87697866 + ], + [ + 18277940, + 73888829 + ], + [ + 89597146, + 97559595 + ], + [ + 14366795, + 94590427 + ], + [ + 4981796, + 78223510 + ], + [ + 66685332, + 10982001 + ], + [ + 76321994, + 782749 + ], + [ + 44413980, + 89974166 + ], + [ + 57968891, + 54079332 + ], + [ + 73929393, + 85741283 + ], + [ + 63148821, + 82282119 + ], + [ + 69169970, + 363199 + ], + [ + 70671717, + 36565675 + ], + [ + 57467215, + 93290958 + ], + [ + 84862940, + 19502230 + ], + [ + 28729252, + 70347228 + ], + [ + 19432114, + 58164646 + ], + [ + 85786483, + 72951911 + ], + [ + 10816362, + 53223924 + ], + [ + 66883291, + 88300519 + ], + [ + 44562860, + 24593523 + ], + [ + 38941001, + 37226903 + ], + [ + 19454455, + 84638960 + ], + [ + 2885486, + 73872755 + ], + [ + 17115508, + 33645411 + ], + [ + 6009152, + 36511874 + ], + [ + 14998628, + 85023581 + ], + [ + 77553058, + 87587852 + ], + [ + 63350236, + 69920683 + ], + [ + 8377185, + 67891207 + ], + [ + 2714853, + 36090433 + ], + [ + 45726562, + 30770077 + ], + [ + 71108633, + 76690480 + ], + [ + 89801114, + 22600970 + ], + [ + 16841013, + 48293737 + ], + [ + 1747471, + 2155296 + ], + [ + 14018728, + 54047987 + ], + [ + 23761003, + 1023234 + ], + [ + 17382455, + 13634688 + ], + [ + 58850114, + 9076211 + ], + [ + 61309391, + 90225361 + ], + [ + 4380246, + 74329847 + ], + [ + 20383282, + 4492897 + ], + [ + 27496759, + 51477165 + ], + [ + 7531563, + 60635537 + ], + [ + 69642926, + 53978020 + ], + [ + 69081232, + 20657607 + ], + [ + 99749368, + 28960643 + ], + [ + 37576950, + 7643476 + ], + [ + 39037931, + 81629292 + ], + [ + 36273735, + 56684972 + ], + [ + 777540, + 41808699 + ], + [ + 49352219, + 23278120 + ], + [ + 81749755, + 87614815 + ], + [ + 48185343, + 29736185 + ], + [ + 82695472, + 12161168 + ], + [ + 11142147, + 11578306 + ], + [ + 56814689, + 83220353 + ], + [ + 83422178, + 76153232 + ], + [ + 33507780, + 30260177 + ], + [ + 87110162, + 26927608 + ], + [ + 22026870, + 61693422 + ], + [ + 13324360, + 42089946 + ], + [ + 77703964, + 57290741 + ], + [ + 20716226, + 24301942 + ], + [ + 79226475, + 66642259 + ], + [ + 78229977, + 90436198 + ], + [ + 11725472, + 42975346 + ], + [ + 5025217, + 57865540 + ], + [ + 85712637, + 88767887 + ], + [ + 18235111, + 53709138 + ], + [ + 5686474, + 6846117 + ], + [ + 83880002, + 98472211 + ], + [ + 58358694, + 65119086 + ], + [ + 66491, + 39003401 + ], + [ + 98927693, + 26432980 + ], + [ + 31185148, + 35565042 + ], + [ + 85679539, + 1175262 + ], + [ + 63025409, + 70609194 + ], + [ + 10504030, + 5624422 + ], + [ + 22654624, + 15144520 + ], + [ + 78051814, + 63275422 + ], + [ + 65675142, + 34273421 + ], + [ + 22390086, + 58105893 + ], + [ + 58991052, + 44607245 + ], + [ + 9211588, + 68476296 + ], + [ + 6211012, + 6936269 + ], + [ + 8139885, + 89182401 + ], + [ + 36710073, + 994728 + ], + [ + 73447285, + 78367612 + ], + [ + 19207508, + 65768196 + ], + [ + 53756286, + 44193857 + ], + [ + 79601350, + 7428480 + ], + [ + 38873811, + 34599737 + ], + [ + 69939778, + 2548836 + ], + [ + 4073018, + 67185855 + ], + [ + 64662374, + 23937758 + ], + [ + 99453438, + 43431001 + ], + [ + 58802751, + 77129 + ], + [ + 14108155, + 52216311 + ], + [ + 21752811, + 67535430 + ], + [ + 64731132, + 24115109 + ], + [ + 50752662, + 18476160 + ], + [ + 88337466, + 88247196 + ], + [ + 25146778, + 62069451 + ], + [ + 15280374, + 27788681 + ], + [ + 58784471, + 55156486 + ], + [ + 25678139, + 35467133 + ], + [ + 77947223, + 96476633 + ], + [ + 66184873, + 82558835 + ], + [ + 83160756, + 9736560 + ], + [ + 32171480, + 54793826 + ], + [ + 11761820, + 85303157 + ], + [ + 33996901, + 88867190 + ], + [ + 77725142, + 33623466 + ], + [ + 30094206, + 60524089 + ], + [ + 30356888, + 72638732 + ], + [ + 67301951, + 2882896 + ], + [ + 44047072, + 47686280 + ], + [ + 24331420, + 32476214 + ], + [ + 98908242, + 13088295 + ], + [ + 55970805, + 71325334 + ], + [ + 3777900, + 34144853 + ], + [ + 43407415, + 89356842 + ], + [ + 83750216, + 89388093 + ], + [ + 96524884, + 91942378 + ], + [ + 34283594, + 82978133 + ], + [ + 6541846, + 62094628 + ], + [ + 34690303, + 5554432 + ], + [ + 15940952, + 70216240 + ], + [ + 79904167, + 10660154 + ], + [ + 36629454, + 97006723 + ], + [ + 37875403, + 31510927 + ], + [ + 13836451, + 6952604 + ], + [ + 49286093, + 94831457 + ], + [ + 15455231, + 88981839 + ], + [ + 78577594, + 18868579 + ], + [ + 67156229, + 64644275 + ], + [ + 82220056, + 23001056 + ], + [ + 11022533, + 95814420 + ], + [ + 1971366, + 65874685 + ], + [ + 46044894, + 35332274 + ], + [ + 24078158, + 21262738 + ], + [ + 12756817, + 40285043 + ], + [ + 62559845, + 54444085 + ], + [ + 60379986, + 98731334 + ], + [ + 65005608, + 28863083 + ], + [ + 53397334, + 43535251 + ], + [ + 64096614, + 55601683 + ], + [ + 29380418, + 26263657 + ], + [ + 93710598, + 49178703 + ], + [ + 34845311, + 35944171 + ], + [ + 24329560, + 65658599 + ], + [ + 38694869, + 38957632 + ], + [ + 71147252, + 81571119 + ], + [ + 39325432, + 5268976 + ], + [ + 18387485, + 70699518 + ], + [ + 43434092, + 61263815 + ], + [ + 96533597, + 61221528 + ], + [ + 11215345, + 32888226 + ], + [ + 87036006, + 92643153 + ], + [ + 94028943, + 71164779 + ], + [ + 86985227, + 84027875 + ], + [ + 1504807, + 90414431 + ], + [ + 1819025, + 4318944 + ], + [ + 37061347, + 97301113 + ], + [ + 93568511, + 26179315 + ], + [ + 87424512, + 71262052 + ], + [ + 53195968, + 30406896 + ], + [ + 7550145, + 31852617 + ], + [ + 97976032, + 92426670 + ], + [ + 12215057, + 2690380 + ], + [ + 34352082, + 89597019 + ], + [ + 75905280, + 90113861 + ], + [ + 22017844, + 61884563 + ], + [ + 92896475, + 80299673 + ], + [ + 90399563, + 81145705 + ], + [ + 96498594, + 98175634 + ], + [ + 68818332, + 47544320 + ], + [ + 48451224, + 86337124 + ], + [ + 55318819, + 2019012 + ], + [ + 1097111, + 93961495 + ], + [ + 31563809, + 73739029 + ], + [ + 68355173, + 82686653 + ], + [ + 85853281, + 7862597 + ], + [ + 36894888, + 62445006 + ], + [ + 7591338, + 481269 + ], + [ + 69784904, + 93729824 + ], + [ + 88797656, + 92143021 + ], + [ + 20661509, + 53640110 + ], + [ + 85410445, + 67609160 + ], + [ + 27670361, + 56549725 + ], + [ + 85241220, + 43337885 + ], + [ + 54443772, + 53960624 + ], + [ + 5427235, + 57793014 + ], + [ + 75239748, + 67402658 + ], + [ + 34504611, + 45158244 + ], + [ + 51728247, + 50630439 + ], + [ + 73198898, + 26790625 + ], + [ + 8577602, + 11385651 + ], + [ + 25705615, + 13639966 + ], + [ + 31639912, + 85661706 + ], + [ + 14292040, + 75821487 + ], + [ + 77751172, + 92096516 + ], + [ + 95342389, + 96066687 + ], + [ + 36962116, + 40885861 + ], + [ + 95071359, + 87971744 + ], + [ + 77585256, + 96323287 + ], + [ + 4898115, + 81868749 + ], + [ + 40166499, + 53697014 + ], + [ + 71280219, + 74032816 + ], + [ + 56243491, + 18527153 + ], + [ + 26133083, + 16093664 + ], + [ + 76546998, + 18941623 + ], + [ + 56734660, + 95965099 + ], + [ + 44113156, + 16139220 + ], + [ + 24363770, + 92483746 + ], + [ + 77122877, + 41916270 + ], + [ + 72304705, + 70711981 + ], + [ + 41989020, + 22065031 + ], + [ + 85518073, + 23626072 + ], + [ + 55951160, + 74468626 + ], + [ + 3230957, + 19047492 + ], + [ + 43268625, + 26781202 + ], + [ + 19309526, + 83598653 + ], + [ + 85009465, + 96968603 + ], + [ + 37277085, + 71174980 + ], + [ + 68580103, + 9362577 + ], + [ + 39284534, + 13573736 + ], + [ + 44681794, + 41150555 + ], + [ + 73453660, + 71789744 + ], + [ + 8524363, + 80779486 + ], + [ + 47104239, + 51660795 + ], + [ + 11957707, + 98256473 + ], + [ + 57001644, + 3149179 + ], + [ + 90271249, + 21594669 + ], + [ + 84422151, + 49631116 + ], + [ + 8114850, + 57187878 + ], + [ + 96455764, + 26346356 + ], + [ + 11203220, + 97874931 + ], + [ + 9858964, + 87208816 + ], + [ + 82465554, + 37843540 + ], + [ + 55264436, + 63591261 + ], + [ + 26615729, + 50406902 + ], + [ + 73276384, + 18069703 + ], + [ + 42624647, + 19917659 + ], + [ + 9945241, + 58298999 + ], + [ + 3931947, + 1294781 + ], + [ + 92349344, + 65511457 + ], + [ + 46439976, + 86905729 + ], + [ + 49284447, + 7275274 + ], + [ + 12036458, + 91165430 + ], + [ + 54355223, + 34193034 + ], + [ + 91381124, + 13179268 + ], + [ + 96406715, + 51469016 + ], + [ + 68376294, + 56314296 + ], + [ + 30208800, + 19569338 + ], + [ + 9326433, + 6084567 + ], + [ + 73104553, + 21405813 + ], + [ + 37092937, + 61951880 + ], + [ + 25427394, + 26007847 + ], + [ + 8454878, + 29816270 + ], + [ + 63936820, + 64737201 + ], + [ + 19468549, + 29956718 + ], + [ + 61123577, + 51433748 + ], + [ + 62384420, + 87575344 + ], + [ + 49124388, + 52044417 + ], + [ + 44579147, + 73201039 + ], + [ + 34424509, + 45828544 + ], + [ + 8439271, + 73761166 + ], + [ + 32025762, + 55050669 + ], + [ + 91008249, + 86366270 + ], + [ + 32070333, + 37163666 + ], + [ + 20208164, + 63044142 + ], + [ + 70009784, + 69341047 + ], + [ + 97200294, + 37127777 + ], + [ + 57080063, + 42888736 + ], + [ + 18898609, + 25355188 + ], + [ + 94074338, + 84957648 + ], + [ + 81014442, + 74591513 + ], + [ + 78145938, + 54128778 + ], + [ + 80302585, + 89129985 + ], + [ + 66813241, + 25394387 + ], + [ + 98056450, + 78957779 + ], + [ + 82170543, + 8812994 + ], + [ + 84174989, + 47802223 + ], + [ + 15002003, + 58043863 + ], + [ + 77409568, + 90455251 + ], + [ + 24540598, + 52539013 + ], + [ + 74696280, + 5588254 + ], + [ + 81850271, + 26429887 + ], + [ + 88102416, + 49010526 + ], + [ + 1311736, + 91978760 + ], + [ + 90970138, + 36516784 + ], + [ + 20198201, + 96563633 + ], + [ + 70248988, + 87688949 + ], + [ + 23210738, + 33653263 + ], + [ + 29076586, + 55597511 + ], + [ + 85023945, + 18871782 + ], + [ + 79634205, + 26628879 + ], + [ + 25538629, + 15088800 + ], + [ + 37328801, + 24489959 + ], + [ + 30954652, + 73061628 + ], + [ + 74697944, + 81797993 + ], + [ + 78408138, + 2697918 + ], + [ + 31523831, + 90700328 + ], + [ + 76925289, + 59973902 + ], + [ + 90812058, + 67298767 + ], + [ + 19627510, + 12454498 + ], + [ + 8338609, + 87054380 + ], + [ + 10548615, + 41650087 + ], + [ + 30192597, + 94816564 + ], + [ + 57642036, + 94663832 + ], + [ + 6599319, + 19044681 + ], + [ + 37161081, + 8694290 + ], + [ + 56295390, + 41361731 + ], + [ + 3368672, + 62430149 + ], + [ + 38180204, + 74930179 + ], + [ + 59703141, + 46300700 + ], + [ + 94019944, + 33703496 + ], + [ + 68213750, + 88363511 + ], + [ + 65252728, + 50436037 + ], + [ + 29935563, + 56346373 + ], + [ + 40487467, + 69801430 + ], + [ + 43739698, + 24930750 + ], + [ + 99929708, + 23419036 + ], + [ + 86655318, + 28838374 + ], + [ + 34022423, + 27274173 + ], + [ + 40475864, + 68394827 + ], + [ + 63281976, + 78208264 + ], + [ + 57509441, + 73772240 + ], + [ + 37633816, + 92474880 + ], + [ + 62179972, + 55832217 + ], + [ + 62148383, + 85058149 + ], + [ + 53569698, + 32882762 + ], + [ + 40974245, + 66801134 + ], + [ + 13368072, + 52678936 + ], + [ + 49468830, + 5785961 + ], + [ + 64072919, + 37057463 + ], + [ + 46075598, + 27668500 + ], + [ + 12099095, + 32186688 + ], + [ + 53726933, + 43057180 + ], + [ + 75501824, + 93519200 + ], + [ + 64101435, + 7429512 + ], + [ + 45968982, + 20328858 + ], + [ + 47150412, + 8670972 + ], + [ + 57355734, + 64193164 + ], + [ + 94103376, + 88638005 + ], + [ + 87664605, + 67983900 + ], + [ + 94533331, + 39043642 + ], + [ + 16076369, + 96039138 + ], + [ + 3510863, + 69854860 + ], + [ + 17211449, + 6855565 + ], + [ + 85865467, + 12069598 + ], + [ + 91143232, + 52775522 + ], + [ + 25142418, + 69881584 + ], + [ + 58477856, + 29656419 + ], + [ + 38477724, + 36844448 + ], + [ + 9008675, + 60127878 + ], + [ + 55510430, + 64210421 + ], + [ + 41876238, + 93806334 + ], + [ + 48236814, + 1758578 + ], + [ + 49505371, + 80700754 + ], + [ + 56126902, + 94025600 + ], + [ + 53061703, + 14085345 + ], + [ + 67394238, + 31574408 + ], + [ + 7840853, + 70254412 + ], + [ + 93952902, + 64623411 + ], + [ + 7555624, + 9689376 + ], + [ + 46318801, + 17141080 + ], + [ + 7112271, + 65748393 + ], + [ + 45974852, + 97671391 + ], + [ + 23190042, + 10772245 + ], + [ + 80753748, + 23352149 + ], + [ + 94867409, + 34275222 + ], + [ + 37024389, + 20284827 + ], + [ + 42117509, + 34853510 + ], + [ + 99539593, + 71543868 + ], + [ + 84838054, + 78649017 + ], + [ + 39077481, + 73690596 + ], + [ + 27109070, + 32327676 + ], + [ + 81018266, + 96062788 + ], + [ + 47450868, + 49690035 + ], + [ + 87361919, + 23279605 + ], + [ + 97966711, + 9991218 + ], + [ + 79042019, + 3156045 + ], + [ + 89806731, + 73299316 + ], + [ + 6917242, + 43272977 + ], + [ + 16385824, + 92822862 + ], + [ + 85555324, + 39679745 + ], + [ + 57401094, + 16360509 + ], + [ + 42718367, + 64679398 + ], + [ + 67360330, + 77263056 + ], + [ + 93223450, + 74846443 + ], + [ + 63910239, + 22339194 + ], + [ + 97010431, + 96787505 + ], + [ + 86517395, + 98523191 + ], + [ + 93199794, + 60885544 + ], + [ + 71378154, + 59013890 + ], + [ + 70019520, + 33277200 + ], + [ + 76859119, + 73048527 + ], + [ + 74667341, + 26305453 + ], + [ + 31072976, + 52059072 + ], + [ + 71907271, + 47209357 + ], + [ + 5791514, + 57700516 + ], + [ + 82068822, + 27653702 + ], + [ + 77529111, + 86939881 + ], + [ + 62516876, + 63022283 + ], + [ + 1014457, + 58776399 + ], + [ + 72261811, + 49746998 + ], + [ + 57416459, + 74715042 + ], + [ + 84297352, + 25464197 + ], + [ + 14405539, + 61994275 + ], + [ + 44142301, + 78174382 + ], + [ + 15536590, + 69135068 + ], + [ + 60481217, + 8445413 + ], + [ + 89692268, + 31458302 + ], + [ + 87075428, + 60608542 + ], + [ + 90167674, + 29783397 + ], + [ + 3454639, + 7828656 + ], + [ + 88110587, + 9479227 + ], + [ + 4904089, + 4517203 + ], + [ + 22766375, + 24731956 + ], + [ + 28317964, + 63628811 + ], + [ + 27356989, + 91466955 + ], + [ + 89707853, + 55712825 + ], + [ + 13822167, + 82837666 + ], + [ + 21315128, + 26170728 + ], + [ + 71827146, + 80464924 + ], + [ + 81631626, + 96145636 + ], + [ + 86319211, + 46153381 + ], + [ + 74153575, + 82433840 + ], + [ + 31581906, + 55117159 + ], + [ + 4789818, + 33797574 + ], + [ + 43118074, + 88961788 + ], + [ + 50074733, + 36248811 + ], + [ + 60093712, + 10688262 + ], + [ + 95991159, + 6609550 + ], + [ + 91678246, + 31955422 + ], + [ + 81809827, + 19718819 + ], + [ + 22882658, + 59335436 + ], + [ + 11806529, + 247088 + ], + [ + 11496235, + 94530917 + ], + [ + 79124768, + 13260474 + ], + [ + 66859321, + 99632426 + ], + [ + 13741383, + 10060144 + ], + [ + 79974409, + 65518139 + ], + [ + 9944807, + 56636845 + ], + [ + 57799693, + 88448739 + ], + [ + 33441155, + 66310619 + ], + [ + 89537393, + 58740344 + ], + [ + 55539821, + 7709781 + ], + [ + 21728128, + 10160936 + ], + [ + 24245995, + 33220027 + ], + [ + 5112403, + 37263116 + ], + [ + 94450946, + 66903327 + ], + [ + 86694619, + 87115823 + ], + [ + 24267676, + 71553137 + ], + [ + 17871576, + 51937788 + ], + [ + 76523377, + 98652367 + ], + [ + 938318, + 5763282 + ], + [ + 56798826, + 24419888 + ], + [ + 24530985, + 89460229 + ], + [ + 16372917, + 54421337 + ], + [ + 3890020, + 36527746 + ], + [ + 34286464, + 65913245 + ], + [ + 18073992, + 30117698 + ], + [ + 58124139, + 81780891 + ], + [ + 40425155, + 51793932 + ], + [ + 12681082, + 91803066 + ], + [ + 90681554, + 60281678 + ], + [ + 68952802, + 21352999 + ], + [ + 99324534, + 98551853 + ], + [ + 17233464, + 38027111 + ], + [ + 67073754, + 88545468 + ], + [ + 90413416, + 63031724 + ], + [ + 69238754, + 4982427 + ], + [ + 95671177, + 69232546 + ], + [ + 28232643, + 58704901 + ], + [ + 30946569, + 29079606 + ], + [ + 69614031, + 78292848 + ], + [ + 75840406, + 47896787 + ], + [ + 36451942, + 77993481 + ], + [ + 1858533, + 48926172 + ], + [ + 61762574, + 77246213 + ], + [ + 73347291, + 31530277 + ], + [ + 65406177, + 47429295 + ], + [ + 59352605, + 6610463 + ], + [ + 60603937, + 53914068 + ], + [ + 74404190, + 48064644 + ], + [ + 97405943, + 6840721 + ], + [ + 55956525, + 94271467 + ], + [ + 57309886, + 47927481 + ], + [ + 70574292, + 8877163 + ], + [ + 17663421, + 91466173 + ], + [ + 64458188, + 77676628 + ], + [ + 32358249, + 26804955 + ], + [ + 27517837, + 26520159 + ], + [ + 44364919, + 28106716 + ], + [ + 70753902, + 23306148 + ], + [ + 40443156, + 57343765 + ], + [ + 82330134, + 46535608 + ], + [ + 26728223, + 98092109 + ], + [ + 51346194, + 73852266 + ], + [ + 95896082, + 56194466 + ], + [ + 3871187, + 61365279 + ], + [ + 55574491, + 90783462 + ], + [ + 5894269, + 90700715 + ], + [ + 84077853, + 30068159 + ], + [ + 94641701, + 33580544 + ], + [ + 52215368, + 65091460 + ], + [ + 59536279, + 57630140 + ], + [ + 28005198, + 37815543 + ], + [ + 88218634, + 71253066 + ], + [ + 6238739, + 56711408 + ], + [ + 92192862, + 99347783 + ], + [ + 73619345, + 59998213 + ], + [ + 93640545, + 96988824 + ], + [ + 39281965, + 14591226 + ], + [ + 81433574, + 11046831 + ], + [ + 24696730, + 23203446 + ], + [ + 51641923, + 21397032 + ], + [ + 57519277, + 94454163 + ], + [ + 68635301, + 33526985 + ], + [ + 86893372, + 48340832 + ], + [ + 60761947, + 47695532 + ], + [ + 88362036, + 87557069 + ], + [ + 7768824, + 95442362 + ], + [ + 61139854, + 60210583 + ], + [ + 10103717, + 63877919 + ], + [ + 55863271, + 6462564 + ], + [ + 39813967, + 8799581 + ], + [ + 91249559, + 43665222 + ], + [ + 66304050, + 69508675 + ], + [ + 68158899, + 72792575 + ], + [ + 44695034, + 57005401 + ], + [ + 71241378, + 9257590 + ], + [ + 21584677, + 32380591 + ], + [ + 8087658, + 43071358 + ], + [ + 49229601, + 24528725 + ], + [ + 95532750, + 51626035 + ], + [ + 13598531, + 95537865 + ], + [ + 79216270, + 7345397 + ], + [ + 59074199, + 17861816 + ], + [ + 52492975, + 8474032 + ], + [ + 88571487, + 30825153 + ], + [ + 28757877, + 64219337 + ], + [ + 49589359, + 51505043 + ], + [ + 64566081, + 54719251 + ], + [ + 9108838, + 34976982 + ], + [ + 27772749, + 36938139 + ], + [ + 29146132, + 75549982 + ], + [ + 68752853, + 86295858 + ], + [ + 11601335, + 70789558 + ], + [ + 78264546, + 88312977 + ], + [ + 14407930, + 77050409 + ], + [ + 516231, + 73479185 + ], + [ + 32929642, + 18594891 + ], + [ + 25721456, + 7064233 + ], + [ + 51165251, + 54699536 + ], + [ + 43044586, + 65961950 + ], + [ + 78429361, + 23737709 + ], + [ + 15353739, + 17516343 + ], + [ + 2495904, + 23795434 + ], + [ + 37830104, + 50263572 + ], + [ + 87333588, + 57062255 + ], + [ + 15643175, + 49165266 + ], + [ + 46791072, + 74306753 + ], + [ + 45849586, + 76440225 + ], + [ + 35545893, + 79103121 + ], + [ + 7138026, + 75583284 + ], + [ + 90423332, + 16770768 + ], + [ + 31430205, + 83286795 + ], + [ + 84676470, + 34084803 + ], + [ + 69058167, + 99480194 + ], + [ + 94144153, + 61517994 + ], + [ + 14350859, + 86221994 + ], + [ + 53927857, + 83122029 + ], + [ + 27442647, + 47943340 + ], + [ + 16570883, + 78137043 + ], + [ + 18051142, + 6428984 + ], + [ + 78746417, + 48952313 + ], + [ + 12611585, + 97488767 + ], + [ + 60887022, + 2232600 + ], + [ + 58462567, + 55403256 + ], + [ + 1862285, + 25955237 + ], + [ + 72969362, + 83314261 + ], + [ + 27950180, + 64962558 + ], + [ + 24321369, + 73491313 + ], + [ + 84563785, + 43650640 + ], + [ + 49704450, + 37052030 + ], + [ + 59219733, + 71272569 + ], + [ + 12794730, + 99592394 + ], + [ + 21666786, + 81915748 + ], + [ + 57778767, + 85345679 + ], + [ + 46623264, + 69979394 + ], + [ + 70185726, + 90895174 + ], + [ + 2857568, + 75388040 + ], + [ + 75390078, + 55444285 + ], + [ + 27739029, + 64505879 + ], + [ + 69826297, + 98931582 + ], + [ + 24219236, + 67097580 + ], + [ + 78787643, + 33784639 + ], + [ + 76985837, + 11373414 + ], + [ + 5620044, + 14187597 + ], + [ + 32508990, + 17872579 + ], + [ + 72006366, + 55730878 + ], + [ + 98872644, + 17046614 + ], + [ + 8751813, + 43992661 + ], + [ + 37118998, + 95678408 + ], + [ + 59178957, + 25308900 + ], + [ + 85734382, + 9614215 + ], + [ + 23266701, + 18647475 + ], + [ + 51162877, + 966433 + ], + [ + 22164991, + 465693 + ], + [ + 22044594, + 30053828 + ], + [ + 14197483, + 66433700 + ], + [ + 35407956, + 91650816 + ], + [ + 43180734, + 60334766 + ], + [ + 68510770, + 23952484 + ], + [ + 41647788, + 47531905 + ], + [ + 7801550, + 39228065 + ], + [ + 25867008, + 62023518 + ], + [ + 65719913, + 45421012 + ], + [ + 3873904, + 88187474 + ], + [ + 51871849, + 41406941 + ], + [ + 76149438, + 18386944 + ], + [ + 61469857, + 99510900 + ], + [ + 3494102, + 60618155 + ], + [ + 34443987, + 78937806 + ], + [ + 58293313, + 49987809 + ], + [ + 75997262, + 95814508 + ], + [ + 67311423, + 66253933 + ], + [ + 78440891, + 46322655 + ], + [ + 86427907, + 25242316 + ], + [ + 13790847, + 61432574 + ], + [ + 44088863, + 41937448 + ], + [ + 5599649, + 87816209 + ], + [ + 22198645, + 46306196 + ], + [ + 29671646, + 13878463 + ], + [ + 64692221, + 20438347 + ], + [ + 13351189, + 52504405 + ], + [ + 96817597, + 75422273 + ], + [ + 55851677, + 49319751 + ], + [ + 27075064, + 33689304 + ], + [ + 93732627, + 80776843 + ], + [ + 10369700, + 18779255 + ], + [ + 84603630, + 33603975 + ], + [ + 10196539, + 5798831 + ], + [ + 91165551, + 46436136 + ], + [ + 27569557, + 49776555 + ], + [ + 81502185, + 76516464 + ], + [ + 33768078, + 54029512 + ], + [ + 85983541, + 20587090 + ], + [ + 67966015, + 85195939 + ], + [ + 71269087, + 48607392 + ], + [ + 93475879, + 27160639 + ], + [ + 67784504, + 63566217 + ], + [ + 63102677, + 33216930 + ], + [ + 56484450, + 20221865 + ], + [ + 52915975, + 81833009 + ], + [ + 43428906, + 80173624 + ], + [ + 87300799, + 58637443 + ], + [ + 14336426, + 51922611 + ], + [ + 76952287, + 51928894 + ], + [ + 90620830, + 37831967 + ], + [ + 63846920, + 96917177 + ], + [ + 42717987, + 65921209 + ], + [ + 84827438, + 33193905 + ], + [ + 94319811, + 32279168 + ], + [ + 47327194, + 20100160 + ], + [ + 83402693, + 45248619 + ], + [ + 26664393, + 21581286 + ], + [ + 90242567, + 87473001 + ], + [ + 53928357, + 74953591 + ], + [ + 11681933, + 90066981 + ], + [ + 95544767, + 94945892 + ], + [ + 60605322, + 79478108 + ], + [ + 79743609, + 79295086 + ], + [ + 2293067, + 51604419 + ], + [ + 32387392, + 60862278 + ], + [ + 39737302, + 61631413 + ], + [ + 78954660, + 16554753 + ], + [ + 74470307, + 52458504 + ], + [ + 9019793, + 4572569 + ], + [ + 81424711, + 40149126 + ], + [ + 13033210, + 51311869 + ], + [ + 44641051, + 49598393 + ], + [ + 82989873, + 24847987 + ], + [ + 89135196, + 23461553 + ], + [ + 67042475, + 18297134 + ], + [ + 94468266, + 40073099 + ], + [ + 76339830, + 84143119 + ], + [ + 89170945, + 53440754 + ], + [ + 64044895, + 69367459 + ], + [ + 15534585, + 38268459 + ], + [ + 61248407, + 86453996 + ], + [ + 4805300, + 9981821 + ], + [ + 30198871, + 63435320 + ], + [ + 34138360, + 96469659 + ], + [ + 23305619, + 96626430 + ], + [ + 97050431, + 28263272 + ], + [ + 6740343, + 32554532 + ], + [ + 56985292, + 48933655 + ], + [ + 30646296, + 16621545 + ], + [ + 79284493, + 97304856 + ], + [ + 92111277, + 48304443 + ], + [ + 15511134, + 18505288 + ], + [ + 89635736, + 93868550 + ], + [ + 8193007, + 39764632 + ], + [ + 7710905, + 90970895 + ], + [ + 79614682, + 99174022 + ], + [ + 5683866, + 66548964 + ], + [ + 3351091, + 35929790 + ], + [ + 82056341, + 4900555 + ], + [ + 34424946, + 37268228 + ], + [ + 87043148, + 45390552 + ], + [ + 17591045, + 8025683 + ], + [ + 7654837, + 53995657 + ], + [ + 13624825, + 50657286 + ], + [ + 32983537, + 74294665 + ], + [ + 48923682, + 4179824 + ], + [ + 40237772, + 5480606 + ], + [ + 45465812, + 34948958 + ], + [ + 22584594, + 15600349 + ], + [ + 2950144, + 94270110 + ], + [ + 44993708, + 35738769 + ], + [ + 73438342, + 2179438 + ], + [ + 79008364, + 93269868 + ], + [ + 98730284, + 45700241 + ], + [ + 48935797, + 61008351 + ], + [ + 68581631, + 56471200 + ], + [ + 17712884, + 69410358 + ], + [ + 32884343, + 44160948 + ], + [ + 27289831, + 82800462 + ], + [ + 93137931, + 94273321 + ], + [ + 63100431, + 7616414 + ], + [ + 80839700, + 34947247 + ], + [ + 51358871, + 77954790 + ], + [ + 62167214, + 83600918 + ], + [ + 16763271, + 7756059 + ], + [ + 58644260, + 46992186 + ], + [ + 92541812, + 22053886 + ], + [ + 94188262, + 38496188 + ], + [ + 19528101, + 64080904 + ], + [ + 62908041, + 94863029 + ], + [ + 70270389, + 39539324 + ], + [ + 70865226, + 92232038 + ], + [ + 79508161, + 90868142 + ], + [ + 67103028, + 70490916 + ], + [ + 35533831, + 73646483 + ], + [ + 39400203, + 43519146 + ], + [ + 4610189, + 86661014 + ], + [ + 31071744, + 1693046 + ], + [ + 10020493, + 67895843 + ], + [ + 3515146, + 26451033 + ], + [ + 76544351, + 58944219 + ], + [ + 92016630, + 67862739 + ], + [ + 12207977, + 26813555 + ], + [ + 78711712, + 35335533 + ], + [ + 79752518, + 90506741 + ], + [ + 89307362, + 2340278 + ], + [ + 96548177, + 46784323 + ], + [ + 69615735, + 68673983 + ], + [ + 89053608, + 29596418 + ], + [ + 53166036, + 55067985 + ], + [ + 41199952, + 21160844 + ], + [ + 38119740, + 29106736 + ], + [ + 15748375, + 40729707 + ], + [ + 94407999, + 66167501 + ], + [ + 17598267, + 70000210 + ], + [ + 48738356, + 30675931 + ], + [ + 88505269, + 4438709 + ], + [ + 50585436, + 99436948 + ], + [ + 58533583, + 53616520 + ], + [ + 70964488, + 23842763 + ], + [ + 61953377, + 20449487 + ], + [ + 15919623, + 54407103 + ], + [ + 3788293, + 8197811 + ], + [ + 20645886, + 46448583 + ], + [ + 31235297, + 43414676 + ], + [ + 24667368, + 33830549 + ], + [ + 57063220, + 16371668 + ], + [ + 21755324, + 4029325 + ], + [ + 99262631, + 39905319 + ], + [ + 17885621, + 10368374 + ], + [ + 86643507, + 92789001 + ], + [ + 83643255, + 42987203 + ], + [ + 11711535, + 43813122 + ], + [ + 84598274, + 61490279 + ], + [ + 93253807, + 8813822 + ], + [ + 38466761, + 45552463 + ], + [ + 20641060, + 50555831 + ], + [ + 99945362, + 89379049 + ], + [ + 38756275, + 50355744 + ], + [ + 34592059, + 79402975 + ], + [ + 78608255, + 76620694 + ], + [ + 89153549, + 49689118 + ], + [ + 10831780, + 54647345 + ], + [ + 66404383, + 74753932 + ], + [ + 44849772, + 65547255 + ], + [ + 76601000, + 58971145 + ], + [ + 53380024, + 40393689 + ], + [ + 32465613, + 47488751 + ], + [ + 77640294, + 47354019 + ], + [ + 57411875, + 14548363 + ], + [ + 95165276, + 25730564 + ], + [ + 9615464, + 35002677 + ], + [ + 78344247, + 96585014 + ], + [ + 89525916, + 71346620 + ], + [ + 41077883, + 90502501 + ], + [ + 17702931, + 4733077 + ], + [ + 716832, + 51130357 + ], + [ + 97583775, + 54050948 + ], + [ + 74691685, + 92144 + ], + [ + 94693121, + 35186744 + ], + [ + 40838493, + 92416293 + ], + [ + 11482668, + 22358897 + ], + [ + 4279889, + 20331397 + ], + [ + 1913017, + 57552667 + ], + [ + 41357944, + 61693146 + ], + [ + 61144525, + 73656808 + ], + [ + 82892497, + 44355051 + ], + [ + 2305741, + 23170100 + ], + [ + 10967334, + 71134937 + ], + [ + 98733858, + 92434128 + ], + [ + 7186972, + 56210339 + ], + [ + 11563793, + 63658036 + ], + [ + 93728057, + 10419036 + ], + [ + 75702833, + 36392627 + ], + [ + 57810016, + 81530921 + ], + [ + 49242326, + 5506723 + ], + [ + 38523633, + 62299381 + ], + [ + 55932894, + 998553 + ], + [ + 56481984, + 8200816 + ], + [ + 42751087, + 48554864 + ], + [ + 94160160, + 62613020 + ], + [ + 48234698, + 89033753 + ], + [ + 57871738, + 93690653 + ], + [ + 83647685, + 72193515 + ], + [ + 8496037, + 24718430 + ], + [ + 89798949, + 17669286 + ], + [ + 9409414, + 27492436 + ], + [ + 11195966, + 41104915 + ], + [ + 81805419, + 32967669 + ], + [ + 61489317, + 68252568 + ], + [ + 40129701, + 19048678 + ], + [ + 63793942, + 36510949 + ], + [ + 73039349, + 6250976 + ], + [ + 56518537, + 37579202 + ], + [ + 53501492, + 70566829 + ], + [ + 92212086, + 37303365 + ], + [ + 25471337, + 12246578 + ], + [ + 95868636, + 75807896 + ], + [ + 91567521, + 72622013 + ], + [ + 51846564, + 5144833 + ], + [ + 24292664, + 26596455 + ], + [ + 71377787, + 44745789 + ], + [ + 66855620, + 99750660 + ], + [ + 45823708, + 15902700 + ], + [ + 24078452, + 81976867 + ], + [ + 46618315, + 94482372 + ], + [ + 26406485, + 75145152 + ], + [ + 679926, + 33543855 + ], + [ + 77109258, + 26900910 + ], + [ + 4971023, + 19244883 + ], + [ + 59117865, + 95013405 + ], + [ + 18678570, + 35631733 + ], + [ + 15622193, + 3980570 + ], + [ + 50991392, + 27589433 + ], + [ + 4308228, + 78654052 + ], + [ + 19487205, + 81928602 + ], + [ + 29006556, + 5210112 + ], + [ + 66811339, + 62705520 + ], + [ + 9686106, + 47900050 + ], + [ + 85394845, + 54601729 + ], + [ + 44133813, + 68669082 + ], + [ + 33094590, + 89283435 + ], + [ + 49864617, + 89279422 + ], + [ + 1208283, + 84473513 + ], + [ + 53113736, + 30600118 + ], + [ + 48376625, + 92072213 + ], + [ + 8492878, + 78581381 + ], + [ + 64115984, + 10370347 + ], + [ + 54132171, + 2706514 + ], + [ + 58029246, + 59757620 + ], + [ + 58651253, + 46108604 + ], + [ + 49950308, + 45499866 + ], + [ + 81175839, + 68544426 + ], + [ + 19814209, + 36334856 + ], + [ + 56842233, + 43432458 + ], + [ + 30099192, + 26089019 + ], + [ + 90042788, + 69266785 + ], + [ + 17315133, + 14785975 + ], + [ + 97222851, + 60933696 + ], + [ + 8462324, + 22509862 + ], + [ + 41135105, + 77793611 + ], + [ + 77134284, + 636133 + ], + [ + 89390198, + 59370258 + ], + [ + 30301936, + 58379651 + ], + [ + 55198607, + 34476782 + ], + [ + 48468007, + 52205674 + ], + [ + 53924439, + 70412340 + ], + [ + 63343918, + 47575417 + ], + [ + 47664069, + 82051700 + ], + [ + 24723138, + 23666408 + ], + [ + 73674315, + 51609759 + ], + [ + 65761435, + 88202819 + ], + [ + 59553941, + 38980768 + ], + [ + 67811223, + 27494743 + ], + [ + 5636948, + 97390021 + ], + [ + 7365040, + 10141029 + ], + [ + 86364924, + 29634953 + ], + [ + 71140444, + 40501420 + ], + [ + 12472576, + 72338690 + ], + [ + 91818669, + 78952539 + ], + [ + 41819551, + 67415589 + ], + [ + 36206726, + 20121174 + ], + [ + 39871207, + 82057004 + ], + [ + 51629444, + 39453542 + ], + [ + 56188710, + 14060883 + ], + [ + 43219692, + 9063617 + ], + [ + 60859117, + 20171925 + ], + [ + 85438525, + 67384044 + ], + [ + 98595457, + 31514353 + ], + [ + 50801115, + 5359975 + ], + [ + 54218401, + 82902109 + ], + [ + 76466737, + 67842708 + ], + [ + 30817717, + 4627152 + ], + [ + 72441240, + 26970171 + ], + [ + 6289098, + 8797724 + ], + [ + 69050848, + 76705010 + ], + [ + 58712063, + 92177191 + ], + [ + 70844187, + 2732135 + ], + [ + 29733049, + 89918117 + ], + [ + 77804231, + 92759293 + ], + [ + 56908762, + 84621649 + ], + [ + 49819246, + 20515096 + ], + [ + 39831109, + 49425966 + ], + [ + 77489012, + 23048606 + ], + [ + 38060464, + 6217200 + ], + [ + 64816945, + 9761230 + ], + [ + 44914303, + 97314352 + ], + [ + 95862827, + 86283118 + ], + [ + 64827952, + 57871861 + ], + [ + 55810313, + 8795021 + ], + [ + 35874417, + 72234136 + ], + [ + 76495373, + 70011294 + ], + [ + 39824114, + 53743240 + ], + [ + 44528723, + 70680581 + ], + [ + 3418281, + 11321487 + ], + [ + 62213553, + 62915410 + ], + [ + 49302775, + 77505958 + ], + [ + 93321465, + 31914311 + ], + [ + 54029803, + 32505170 + ], + [ + 9753991, + 72412459 + ], + [ + 11763044, + 7248910 + ], + [ + 55034322, + 73706085 + ], + [ + 49629601, + 85699988 + ], + [ + 25050370, + 52277595 + ], + [ + 79919825, + 56099342 + ], + [ + 86160148, + 33082524 + ], + [ + 62379567, + 86229403 + ], + [ + 24566524, + 29768931 + ], + [ + 34428363, + 80183637 + ], + [ + 1418183, + 76356151 + ], + [ + 56238792, + 99067613 + ], + [ + 53797851, + 4956748 + ], + [ + 56846393, + 50469826 + ], + [ + 4075283, + 37682766 + ], + [ + 43578600, + 4788145 + ], + [ + 33845375, + 50008362 + ], + [ + 18522018, + 67890078 + ], + [ + 33840522, + 20523500 + ], + [ + 15784626, + 99768817 + ], + [ + 74135701, + 98332767 + ], + [ + 42937725, + 25899537 + ], + [ + 16403313, + 43448796 + ], + [ + 1991247, + 46626925 + ], + [ + 26943642, + 28560754 + ], + [ + 54356187, + 99232683 + ], + [ + 41787671, + 42186621 + ], + [ + 70809390, + 33937193 + ], + [ + 64417911, + 47467805 + ], + [ + 66788259, + 34047018 + ], + [ + 13711525, + 19680065 + ], + [ + 32450048, + 46842381 + ], + [ + 87305572, + 18312042 + ], + [ + 16068646, + 49326897 + ], + [ + 58258943, + 52844785 + ], + [ + 17208684, + 18741705 + ], + [ + 96499587, + 75722392 + ], + [ + 75989344, + 78187079 + ], + [ + 34397473, + 77390330 + ], + [ + 18551737, + 52015449 + ], + [ + 72644959, + 94164783 + ], + [ + 92489646, + 7602930 + ], + [ + 22937083, + 33814697 + ], + [ + 50317402, + 75145159 + ], + [ + 17160840, + 97420723 + ], + [ + 69903353, + 3127811 + ], + [ + 40023509, + 53334468 + ], + [ + 80156195, + 62243836 + ], + [ + 62143994, + 40594554 + ], + [ + 93218258, + 74995352 + ], + [ + 30434807, + 6515157 + ], + [ + 88604551, + 74026900 + ], + [ + 44204014, + 14169299 + ], + [ + 55796937, + 70421437 + ], + [ + 66400757, + 39773783 + ], + [ + 27970524, + 11216056 + ], + [ + 54761605, + 20354719 + ], + [ + 95042271, + 16819240 + ], + [ + 21696453, + 66686823 + ], + [ + 75489729, + 97639760 + ], + [ + 41599255, + 77842446 + ], + [ + 76389707, + 15371322 + ], + [ + 94649182, + 54808601 + ], + [ + 83406872, + 3700327 + ], + [ + 12815551, + 39936262 + ], + [ + 43394218, + 87361553 + ], + [ + 90259994, + 40863455 + ], + [ + 51071167, + 54546889 + ], + [ + 36597360, + 53222146 + ], + [ + 40974987, + 59645559 + ], + [ + 23541927, + 66311350 + ], + [ + 60646949, + 36543727 + ], + [ + 20900432, + 83130185 + ], + [ + 20311267, + 84024196 + ], + [ + 53226170, + 16363048 + ], + [ + 4715606, + 44836626 + ], + [ + 95983613, + 84252916 + ], + [ + 46727480, + 54469132 + ], + [ + 70287118, + 24744765 + ], + [ + 94203609, + 52947607 + ], + [ + 36782051, + 20504036 + ], + [ + 64347031, + 78277237 + ], + [ + 8059783, + 4636315 + ], + [ + 21855377, + 22219821 + ], + [ + 71223810, + 65789043 + ], + [ + 67564608, + 49706681 + ], + [ + 46490191, + 27857413 + ], + [ + 12978278, + 41774764 + ], + [ + 37460918, + 10457611 + ], + [ + 67495673, + 18888081 + ], + [ + 20625268, + 75519503 + ], + [ + 16733188, + 43045027 + ], + [ + 85495059, + 10701257 + ], + [ + 9856007, + 83607871 + ], + [ + 33412775, + 63505145 + ], + [ + 73182614, + 34015249 + ], + [ + 27499207, + 83779739 + ], + [ + 56855358, + 57192165 + ], + [ + 75928111, + 68844604 + ], + [ + 76898141, + 35072338 + ], + [ + 31254135, + 78339205 + ], + [ + 35765824, + 1440225 + ], + [ + 65654404, + 18310968 + ], + [ + 31568483, + 54864187 + ], + [ + 55047142, + 71116135 + ], + [ + 96778620, + 7951827 + ], + [ + 47924237, + 62038772 + ], + [ + 62755837, + 19296223 + ], + [ + 86493532, + 41146319 + ], + [ + 41127850, + 54197424 + ], + [ + 57217454, + 6546035 + ], + [ + 64364434, + 38501771 + ], + [ + 75723289, + 56281731 + ], + [ + 50582670, + 67690266 + ], + [ + 20406275, + 78236560 + ], + [ + 25075669, + 4196950 + ], + [ + 9667907, + 23834251 + ], + [ + 11237115, + 1295613 + ], + [ + 96649204, + 54490283 + ], + [ + 33184476, + 66308114 + ], + [ + 75749422, + 61159227 + ], + [ + 4407895, + 79471506 + ], + [ + 11502448, + 30805837 + ], + [ + 60943552, + 60097193 + ], + [ + 38391716, + 95542662 + ], + [ + 33679369, + 95527229 + ], + [ + 78297693, + 42918472 + ], + [ + 9162809, + 54466205 + ], + [ + 62416746, + 16019252 + ], + [ + 51863942, + 87171512 + ], + [ + 34141788, + 69183550 + ], + [ + 85725819, + 49673664 + ], + [ + 23906309, + 38411459 + ], + [ + 28622570, + 89825916 + ], + [ + 45999790, + 33473113 + ], + [ + 28341703, + 82574882 + ], + [ + 59715991, + 94917550 + ], + [ + 23917846, + 40822346 + ], + [ + 84241568, + 22319299 + ], + [ + 21664067, + 12098678 + ], + [ + 67121697, + 87589883 + ], + [ + 20171845, + 10689838 + ], + [ + 91034575, + 20400569 + ], + [ + 24148641, + 29062852 + ], + [ + 71880603, + 49055910 + ], + [ + 63035160, + 63394847 + ], + [ + 43017955, + 35551793 + ], + [ + 75973773, + 32341612 + ], + [ + 98009548, + 7405934 + ], + [ + 56284151, + 29441990 + ], + [ + 11026284, + 99688984 + ], + [ + 6909561, + 13519161 + ], + [ + 17827399, + 14359856 + ], + [ + 65374344, + 5646664 + ], + [ + 25057320, + 62926802 + ], + [ + 65230757, + 38103224 + ], + [ + 61318817, + 69966660 + ], + [ + 60816070, + 63629674 + ], + [ + 43622664, + 52717482 + ], + [ + 14659196, + 77303531 + ], + [ + 74310196, + 47308481 + ], + [ + 56922591, + 92377858 + ], + [ + 74107639, + 80814439 + ], + [ + 88772249, + 79935445 + ], + [ + 58660118, + 24458693 + ], + [ + 45032235, + 90263924 + ], + [ + 49204029, + 9310629 + ], + [ + 41736852, + 8242163 + ], + [ + 15632740, + 93872181 + ], + [ + 70422829, + 23499229 + ], + [ + 33760119, + 65434010 + ], + [ + 534464, + 20123030 + ], + [ + 67947504, + 36406612 + ], + [ + 12276779, + 37227984 + ], + [ + 1122012, + 70697161 + ], + [ + 47967477, + 3664719 + ], + [ + 63378437, + 51163134 + ], + [ + 76037200, + 71212041 + ], + [ + 94466343, + 95599246 + ], + [ + 21325175, + 95002882 + ], + [ + 24981841, + 12895087 + ], + [ + 51599105, + 51619083 + ], + [ + 9100288, + 72344659 + ], + [ + 1151578, + 61957676 + ], + [ + 68091414, + 13231233 + ], + [ + 55864123, + 24177623 + ], + [ + 27859409, + 90631232 + ], + [ + 19358569, + 77306805 + ], + [ + 12706892, + 29694682 + ], + [ + 34711524, + 89507557 + ], + [ + 94850379, + 70973701 + ], + [ + 3877784, + 10611430 + ], + [ + 83685434, + 18392437 + ], + [ + 48542982, + 92285205 + ], + [ + 84934024, + 78277783 + ], + [ + 22914106, + 27123796 + ], + [ + 55667512, + 8045538 + ], + [ + 27102321, + 52197145 + ], + [ + 94914556, + 74918416 + ], + [ + 9619334, + 57660288 + ], + [ + 9814538, + 42593540 + ], + [ + 51820529, + 49909534 + ], + [ + 17611090, + 41377327 + ], + [ + 4752821, + 46295817 + ], + [ + 70176796, + 29919149 + ], + [ + 2013965, + 57773767 + ], + [ + 23970332, + 9504172 + ], + [ + 79661956, + 46976667 + ], + [ + 55543254, + 91672774 + ], + [ + 29518121, + 75203148 + ], + [ + 115066, + 93520403 + ], + [ + 89526390, + 31234130 + ], + [ + 77736016, + 76896241 + ], + [ + 89752270, + 61030290 + ], + [ + 69849858, + 51719396 + ], + [ + 97106521, + 30783772 + ], + [ + 65690155, + 1931927 + ], + [ + 47544953, + 70729700 + ], + [ + 25398110, + 98324030 + ], + [ + 16037989, + 36008935 + ], + [ + 30917336, + 77871410 + ], + [ + 62218582, + 14243971 + ], + [ + 166629, + 96026327 + ], + [ + 22408118, + 69642867 + ], + [ + 59360522, + 31285376 + ], + [ + 84157212, + 91936974 + ], + [ + 75904191, + 95154941 + ], + [ + 21920110, + 12357985 + ], + [ + 39936913, + 4178435 + ], + [ + 75246619, + 38198093 + ], + [ + 11387, + 47393473 + ], + [ + 99500078, + 64093704 + ], + [ + 1183849, + 6058432 + ], + [ + 32785055, + 72830497 + ], + [ + 97462858, + 14491615 + ], + [ + 84212381, + 68620074 + ], + [ + 73366728, + 44861073 + ], + [ + 75210321, + 50726029 + ], + [ + 72056168, + 4735624 + ], + [ + 19437005, + 10227136 + ], + [ + 21826698, + 8217351 + ], + [ + 70878640, + 15312084 + ], + [ + 86864715, + 60830198 + ], + [ + 11578303, + 47414045 + ], + [ + 76384581, + 94065204 + ], + [ + 77633709, + 80616374 + ], + [ + 47063135, + 87849671 + ], + [ + 22142698, + 14376593 + ], + [ + 98184675, + 56902356 + ], + [ + 30556737, + 56407936 + ], + [ + 87406392, + 25234854 + ], + [ + 70304564, + 20316004 + ], + [ + 90673201, + 46036736 + ], + [ + 27091255, + 44713321 + ], + [ + 49117850, + 67735815 + ], + [ + 91724872, + 34095918 + ], + [ + 35705829, + 46510401 + ], + [ + 76256018, + 56861217 + ], + [ + 4289950, + 72790187 + ], + [ + 9054135, + 79760694 + ], + [ + 66585769, + 72122270 + ], + [ + 13379084, + 54770189 + ], + [ + 53514688, + 9750512 + ], + [ + 34868998, + 77643593 + ], + [ + 6490956, + 46410995 + ], + [ + 92003173, + 35204995 + ], + [ + 50721695, + 62554671 + ], + [ + 79001747, + 93525726 + ], + [ + 64337834, + 32070208 + ], + [ + 30362635, + 71475109 + ], + [ + 57283556, + 20509860 + ], + [ + 73225664, + 4628059 + ], + [ + 48824173, + 49670014 + ], + [ + 87252398, + 32926316 + ], + [ + 33731826, + 86438768 + ], + [ + 23678389, + 74780174 + ], + [ + 87973521, + 23866245 + ], + [ + 24116860, + 78366972 + ], + [ + 72754655, + 9744897 + ], + [ + 32488607, + 75475555 + ], + [ + 15282110, + 52609317 + ], + [ + 96793767, + 68450601 + ], + [ + 97467103, + 33395573 + ], + [ + 75695194, + 32391975 + ], + [ + 86962031, + 34469520 + ], + [ + 56589983, + 19491456 + ], + [ + 21099251, + 16990651 + ], + [ + 89987102, + 77583097 + ], + [ + 10912274, + 31722462 + ], + [ + 56823333, + 22835225 + ], + [ + 7542762, + 8799918 + ], + [ + 10216914, + 96732055 + ], + [ + 76218796, + 16634392 + ], + [ + 17874560, + 61871517 + ], + [ + 62361097, + 14481116 + ], + [ + 16152001, + 159695 + ], + [ + 11076479, + 11534891 + ], + [ + 65688123, + 51424893 + ], + [ + 99502371, + 6473219 + ], + [ + 53120069, + 72333572 + ], + [ + 83834014, + 52735118 + ], + [ + 64056544, + 77593346 + ], + [ + 77645297, + 24082779 + ], + [ + 60399135, + 84912333 + ], + [ + 39939244, + 26827908 + ], + [ + 81769247, + 86441593 + ], + [ + 46707274, + 34553921 + ], + [ + 29183007, + 33372390 + ], + [ + 89321234, + 94379938 + ], + [ + 50330021, + 9075811 + ], + [ + 87145622, + 48483522 + ], + [ + 16225764, + 40865872 + ], + [ + 24082509, + 3919874 + ], + [ + 70045941, + 10988690 + ], + [ + 87751610, + 88054391 + ], + [ + 70385965, + 57453739 + ], + [ + 91345767, + 90804006 + ], + [ + 48440013, + 91445302 + ], + [ + 76905292, + 78918876 + ], + [ + 18509608, + 45182061 + ], + [ + 97463422, + 13887675 + ], + [ + 55316983, + 14616756 + ], + [ + 58705866, + 32146275 + ], + [ + 75154259, + 28102510 + ], + [ + 2999298, + 88549166 + ], + [ + 92980332, + 60997667 + ], + [ + 41217694, + 62639531 + ], + [ + 23894764, + 93470357 + ], + [ + 65627940, + 82251293 + ], + [ + 28524789, + 82971382 + ], + [ + 32449170, + 16971689 + ], + [ + 71012670, + 61169503 + ], + [ + 35720740, + 29743077 + ], + [ + 2229965, + 36277809 + ], + [ + 27454031, + 4531969 + ], + [ + 72584970, + 40849102 + ], + [ + 25895756, + 73400793 + ], + [ + 24004055, + 80158640 + ], + [ + 83040765, + 70713811 + ], + [ + 55180284, + 26468464 + ], + [ + 63884494, + 40333010 + ], + [ + 56094174, + 80961052 + ], + [ + 45941252, + 11237588 + ], + [ + 92809822, + 7941158 + ], + [ + 94140595, + 75263129 + ], + [ + 90758730, + 90470669 + ], + [ + 4080565, + 38611858 + ], + [ + 79892268, + 1252275 + ], + [ + 1010762, + 25546738 + ], + [ + 72882114, + 48966726 + ], + [ + 22004897, + 54539236 + ], + [ + 78333572, + 46038085 + ], + [ + 64022871, + 66029150 + ], + [ + 14011474, + 52000595 + ], + [ + 14114724, + 68979616 + ], + [ + 25205058, + 15445308 + ], + [ + 113076, + 14859316 + ], + [ + 99969107, + 74951526 + ], + [ + 2342361, + 83907816 + ], + [ + 33570211, + 59477111 + ], + [ + 88066618, + 83806249 + ], + [ + 73423513, + 35748534 + ], + [ + 12342398, + 55610856 + ], + [ + 41046417, + 4750639 + ], + [ + 87718099, + 38905091 + ], + [ + 47673019, + 36651417 + ], + [ + 26187589, + 47130929 + ], + [ + 12341307, + 51866209 + ], + [ + 99434556, + 23493310 + ], + [ + 18794643, + 22354424 + ], + [ + 1263132, + 60834916 + ], + [ + 41881903, + 98073823 + ], + [ + 44091804, + 50568462 + ], + [ + 70883923, + 84558097 + ], + [ + 3033306, + 79685017 + ], + [ + 76645189, + 85722501 + ], + [ + 60277760, + 64524116 + ], + [ + 1621945, + 76085115 + ], + [ + 40838891, + 78111065 + ], + [ + 21142713, + 57391876 + ], + [ + 70225952, + 22525012 + ], + [ + 74560678, + 21616537 + ], + [ + 40710655, + 72995272 + ], + [ + 43970427, + 11499221 + ], + [ + 73013753, + 64967892 + ], + [ + 69346178, + 25095489 + ], + [ + 67449712, + 12589532 + ], + [ + 99463937, + 30852900 + ], + [ + 25093014, + 97019129 + ], + [ + 17476555, + 89231006 + ], + [ + 72334867, + 71908223 + ], + [ + 41188466, + 40805715 + ], + [ + 55344861, + 41066415 + ], + [ + 7765666, + 51910623 + ], + [ + 79325143, + 39225863 + ], + [ + 69022131, + 41862235 + ], + [ + 13220688, + 41705670 + ], + [ + 59931199, + 12875142 + ], + [ + 10672646, + 40971750 + ], + [ + 56842236, + 71513730 + ], + [ + 98815279, + 75627241 + ], + [ + 38341301, + 71576895 + ], + [ + 69235462, + 68479265 + ], + [ + 52987947, + 43745205 + ], + [ + 28296161, + 29237979 + ], + [ + 78683920, + 32559529 + ], + [ + 37104302, + 85208864 + ], + [ + 22359411, + 1949197 + ], + [ + 16968924, + 16424322 + ], + [ + 36002724, + 98490961 + ], + [ + 68308708, + 84113331 + ], + [ + 62580680, + 77983375 + ], + [ + 92925335, + 71680874 + ], + [ + 82703322, + 92661379 + ], + [ + 63358566, + 21755871 + ], + [ + 53959940, + 93731977 + ], + [ + 31379124, + 16795451 + ], + [ + 30690354, + 38921072 + ], + [ + 60316521, + 23337876 + ], + [ + 59790291, + 72753370 + ], + [ + 79570867, + 19821063 + ], + [ + 77923691, + 26494087 + ], + [ + 90061283, + 4476483 + ], + [ + 8652736, + 73406986 + ], + [ + 55132399, + 76812755 + ], + [ + 25111979, + 33669807 + ], + [ + 57960851, + 61248392 + ], + [ + 90736873, + 6203368 + ], + [ + 26953055, + 41578005 + ], + [ + 52484576, + 39108957 + ], + [ + 582825, + 70434895 + ], + [ + 11265542, + 64392411 + ], + [ + 67772913, + 13905379 + ], + [ + 26384833, + 24186735 + ], + [ + 23389773, + 56517180 + ], + [ + 16605969, + 97708636 + ], + [ + 97178620, + 93276663 + ], + [ + 70921852, + 15736521 + ], + [ + 46933138, + 3578739 + ], + [ + 43374083, + 83157778 + ], + [ + 94918225, + 99724649 + ], + [ + 6211072, + 45018857 + ], + [ + 755592, + 14107415 + ], + [ + 74711670, + 49320147 + ], + [ + 27307174, + 73846965 + ], + [ + 857880, + 60875235 + ], + [ + 17208999, + 65419936 + ], + [ + 8226877, + 26810622 + ], + [ + 32776293, + 98297451 + ], + [ + 547044, + 99922852 + ], + [ + 75057666, + 93739222 + ], + [ + 3923282, + 56626655 + ], + [ + 75825911, + 34904894 + ], + [ + 65349675, + 70357935 + ], + [ + 87323299, + 55089706 + ], + [ + 22985373, + 31504841 + ], + [ + 4540533, + 28525968 + ], + [ + 46049212, + 70476939 + ], + [ + 62780227, + 98416811 + ], + [ + 79494854, + 45225746 + ], + [ + 79313713, + 63825191 + ], + [ + 28174167, + 66884372 + ], + [ + 36691788, + 34872432 + ], + [ + 38301276, + 83793111 + ], + [ + 22799114, + 97855846 + ], + [ + 19847892, + 89647423 + ], + [ + 97556358, + 18528762 + ], + [ + 85664949, + 26361513 + ], + [ + 27258027, + 88684983 + ], + [ + 13075774, + 18910262 + ], + [ + 4801059, + 21496504 + ], + [ + 12822046, + 46717183 + ], + [ + 2290878, + 64053702 + ], + [ + 16883487, + 56195984 + ], + [ + 92424832, + 38304753 + ], + [ + 26179362, + 38554393 + ], + [ + 51955926, + 55038705 + ], + [ + 69237468, + 2276977 + ], + [ + 50562481, + 3004576 + ], + [ + 2804648, + 3051081 + ], + [ + 77622279, + 92028096 + ], + [ + 8252240, + 3685740 + ], + [ + 59014100, + 34168856 + ], + [ + 84324018, + 8077260 + ], + [ + 53097941, + 84808650 + ], + [ + 90494853, + 77649495 + ], + [ + 86869718, + 74047818 + ], + [ + 3377032, + 31607441 + ], + [ + 31887511, + 24518991 + ], + [ + 88380395, + 76121483 + ], + [ + 7436846, + 36311249 + ], + [ + 20715083, + 65658358 + ], + [ + 54764860, + 87955387 + ], + [ + 1876930, + 78682411 + ], + [ + 64492421, + 24778502 + ], + [ + 41931271, + 70078069 + ], + [ + 19382248, + 65027481 + ], + [ + 25273237, + 83485925 + ], + [ + 55163252, + 49538254 + ], + [ + 2211494, + 92426555 + ], + [ + 42730753, + 53589021 + ], + [ + 50836088, + 12738935 + ], + [ + 11651594, + 82577224 + ], + [ + 13953714, + 9928037 + ], + [ + 20904574, + 7814246 + ], + [ + 95873934, + 91725785 + ], + [ + 62431539, + 16460310 + ], + [ + 12400054, + 50428099 + ], + [ + 77655896, + 18572148 + ], + [ + 72474729, + 53529318 + ], + [ + 70683707, + 70580831 + ], + [ + 151069, + 11907482 + ], + [ + 3888598, + 23442129 + ], + [ + 3336430, + 58465141 + ], + [ + 88881776, + 12350761 + ], + [ + 65128547, + 6491213 + ], + [ + 4600, + 21721811 + ], + [ + 53866042, + 33272782 + ], + [ + 28412095, + 62826195 + ], + [ + 7780435, + 3553544 + ], + [ + 80322846, + 99832767 + ], + [ + 34186970, + 8870388 + ], + [ + 95125033, + 18547668 + ], + [ + 60843822, + 24504253 + ], + [ + 90629965, + 87614288 + ], + [ + 34159140, + 47710191 + ], + [ + 48136378, + 83744616 + ], + [ + 17514202, + 36624594 + ], + [ + 77067326, + 43378235 + ], + [ + 94587325, + 40667574 + ], + [ + 65673630, + 68754833 + ], + [ + 84218036, + 19188274 + ], + [ + 10838688, + 15320505 + ], + [ + 51967830, + 98972537 + ], + [ + 16607561, + 4462420 + ], + [ + 62818462, + 76926014 + ], + [ + 58296334, + 84679133 + ], + [ + 19337851, + 12827617 + ], + [ + 32925254, + 4582484 + ], + [ + 51635676, + 6175505 + ], + [ + 97788532, + 30787415 + ], + [ + 19495121, + 32432336 + ], + [ + 12398897, + 84785232 + ], + [ + 61999595, + 5988604 + ], + [ + 68690814, + 61603217 + ], + [ + 21101854, + 21699641 + ], + [ + 49529110, + 57944719 + ], + [ + 69546254, + 3172203 + ], + [ + 89553729, + 78266267 + ], + [ + 66183800, + 49217395 + ], + [ + 15381995, + 58434287 + ], + [ + 39050987, + 21903241 + ], + [ + 94370738, + 23785920 + ], + [ + 57670393, + 89782243 + ], + [ + 21973470, + 96789553 + ], + [ + 22724846, + 19141180 + ], + [ + 2320280, + 97405964 + ], + [ + 29485910, + 86963244 + ], + [ + 57857490, + 66002665 + ], + [ + 5076294, + 85992339 + ], + [ + 71790814, + 49624155 + ], + [ + 58896431, + 30986114 + ], + [ + 3895839, + 34174799 + ], + [ + 54735548, + 22046387 + ], + [ + 37974758, + 95707049 + ], + [ + 24484030, + 19059123 + ], + [ + 21415122, + 49790153 + ], + [ + 24487716, + 71960170 + ], + [ + 18799778, + 58381159 + ], + [ + 58918598, + 4682672 + ], + [ + 51360053, + 16713846 + ], + [ + 26984217, + 79154203 + ], + [ + 60332708, + 75482917 + ], + [ + 8228960, + 35794686 + ], + [ + 65291133, + 76681868 + ], + [ + 55114270, + 73590075 + ], + [ + 49927756, + 85699588 + ], + [ + 57191056, + 38414912 + ], + [ + 32054032, + 64573703 + ], + [ + 91319899, + 11281445 + ], + [ + 77591102, + 61403421 + ], + [ + 63386957, + 94442852 + ], + [ + 52152070, + 85232128 + ], + [ + 62451797, + 36985930 + ], + [ + 23299520, + 87661354 + ], + [ + 51228751, + 26878828 + ], + [ + 42962269, + 5446895 + ], + [ + 53590643, + 79796100 + ], + [ + 98717460, + 3630859 + ], + [ + 43136435, + 6940228 + ], + [ + 42916305, + 48263217 + ], + [ + 96048041, + 39309503 + ], + [ + 47509317, + 18401520 + ], + [ + 38960125, + 60178050 + ], + [ + 24583257, + 78297867 + ], + [ + 57534411, + 46831970 + ], + [ + 96420018, + 7071903 + ], + [ + 3623809, + 76898 + ], + [ + 80172126, + 68710952 + ], + [ + 27815549, + 17781414 + ], + [ + 34456619, + 60518963 + ], + [ + 18018733, + 13113534 + ], + [ + 13431201, + 29304464 + ], + [ + 45152261, + 37637746 + ], + [ + 60866933, + 49522957 + ], + [ + 71275124, + 17057242 + ], + [ + 56328673, + 20649833 + ], + [ + 89917445, + 42780854 + ], + [ + 65996380, + 71351815 + ], + [ + 53706646, + 50825574 + ], + [ + 51214605, + 16933228 + ], + [ + 19270790, + 50829376 + ], + [ + 24279288, + 33832293 + ], + [ + 23125542, + 23985927 + ], + [ + 95286554, + 30765330 + ], + [ + 99192593, + 29266513 + ], + [ + 5856116, + 61175192 + ], + [ + 6552559, + 86332124 + ], + [ + 51683152, + 74866180 + ], + [ + 93538096, + 61553096 + ], + [ + 39505310, + 81209706 + ], + [ + 34126940, + 10601408 + ], + [ + 75646191, + 20101182 + ], + [ + 60456027, + 34861453 + ], + [ + 17451815, + 25179410 + ], + [ + 54071384, + 3684490 + ], + [ + 55205217, + 85400898 + ], + [ + 23102559, + 8066534 + ], + [ + 60074265, + 77137077 + ], + [ + 83146143, + 56311243 + ], + [ + 34183670, + 34196978 + ], + [ + 55252970, + 31111012 + ], + [ + 53231252, + 25098002 + ], + [ + 22905673, + 13434486 + ], + [ + 53707879, + 79508696 + ], + [ + 69691838, + 76499885 + ], + [ + 21655564, + 11930063 + ], + [ + 83637231, + 87457782 + ], + [ + 1634067, + 79072125 + ], + [ + 40355721, + 56095658 + ], + [ + 62906051, + 65575465 + ], + [ + 83848389, + 25941032 + ], + [ + 1979981, + 29893778 + ], + [ + 85588853, + 48831639 + ], + [ + 94874343, + 5556643 + ], + [ + 96529266, + 13148358 + ], + [ + 95107875, + 14571331 + ], + [ + 55923646, + 21036843 + ], + [ + 408522, + 45764401 + ], + [ + 59257917, + 99517816 + ], + [ + 81175162, + 54817619 + ], + [ + 85785812, + 35337228 + ], + [ + 6617300, + 21569052 + ], + [ + 80397542, + 35992503 + ], + [ + 76584427, + 47530417 + ], + [ + 41007673, + 93196903 + ], + [ + 29348558, + 35440519 + ], + [ + 47370894, + 20003776 + ], + [ + 24264887, + 45961504 + ], + [ + 93222588, + 16234903 + ], + [ + 42999404, + 25130977 + ], + [ + 26773562, + 96914210 + ], + [ + 20094839, + 67918370 + ], + [ + 32801347, + 82045953 + ], + [ + 15534291, + 278798 + ], + [ + 6162333, + 13868698 + ], + [ + 58848859, + 53581857 + ], + [ + 33963150, + 84693879 + ], + [ + 25582381, + 43792397 + ], + [ + 5456980, + 99519065 + ], + [ + 19807192, + 18348698 + ], + [ + 30004914, + 28237541 + ], + [ + 19806518, + 38525138 + ], + [ + 55739620, + 9706591 + ], + [ + 35676509, + 89336058 + ], + [ + 657285, + 33128007 + ], + [ + 62194705, + 21155702 + ], + [ + 39462773, + 36729066 + ], + [ + 28058618, + 98963766 + ], + [ + 44402914, + 77607851 + ], + [ + 47509218, + 68097759 + ], + [ + 13339385, + 7221988 + ], + [ + 50813601, + 10446512 + ], + [ + 88832897, + 79897794 + ], + [ + 63366821, + 24866769 + ], + [ + 92155892, + 63565481 + ], + [ + 74052509, + 44783377 + ], + [ + 62509359, + 55423325 + ], + [ + 52007956, + 62713520 + ], + [ + 94673381, + 61514249 + ], + [ + 8969353, + 75163641 + ], + [ + 35208705, + 71224477 + ], + [ + 11614533, + 40423765 + ], + [ + 50320129, + 16173585 + ], + [ + 51551405, + 35684289 + ], + [ + 73579797, + 57541789 + ], + [ + 21040279, + 46145753 + ], + [ + 51249552, + 98491085 + ], + [ + 64522624, + 75088439 + ], + [ + 12874901, + 25621975 + ], + [ + 95498732, + 39468505 + ], + [ + 26967220, + 36382550 + ], + [ + 53937669, + 62169909 + ], + [ + 72357542, + 58583822 + ], + [ + 21856829, + 77265201 + ], + [ + 71648231, + 72175367 + ], + [ + 9382271, + 56492921 + ], + [ + 94573223, + 23154506 + ], + [ + 35987258, + 18299141 + ], + [ + 43506634, + 70028448 + ], + [ + 94173278, + 23627126 + ], + [ + 97321502, + 79457971 + ], + [ + 89077551, + 15989217 + ], + [ + 54923152, + 93517271 + ], + [ + 91402935, + 41331287 + ], + [ + 89190169, + 99805637 + ], + [ + 99636592, + 96868971 + ], + [ + 99749661, + 637155 + ], + [ + 12750645, + 96223874 + ], + [ + 20138565, + 96077884 + ], + [ + 46267618, + 64013847 + ], + [ + 80260492, + 86735115 + ], + [ + 72673259, + 59929699 + ], + [ + 60865942, + 68710300 + ], + [ + 24508131, + 55923022 + ], + [ + 70168417, + 11461911 + ], + [ + 94139523, + 14480550 + ], + [ + 20492648, + 23821289 + ], + [ + 35495081, + 78098786 + ], + [ + 93486440, + 60134507 + ], + [ + 70448376, + 1006300 + ], + [ + 38121971, + 59927596 + ], + [ + 49836299, + 68519145 + ], + [ + 82298529, + 37514308 + ], + [ + 58112459, + 37045523 + ], + [ + 56794048, + 77658069 + ], + [ + 93617459, + 85620262 + ], + [ + 95617690, + 71145513 + ], + [ + 95146110, + 84451136 + ], + [ + 56645995, + 43726863 + ], + [ + 50849506, + 85375709 + ], + [ + 629435, + 48567033 + ], + [ + 70547181, + 22317988 + ], + [ + 9864928, + 93338516 + ], + [ + 71612504, + 94833514 + ], + [ + 97841367, + 85507391 + ], + [ + 83784667, + 51845521 + ], + [ + 2343450, + 53472595 + ], + [ + 1724987, + 21473523 + ], + [ + 63196306, + 80606429 + ], + [ + 18956593, + 17765439 + ], + [ + 2575766, + 4712109 + ], + [ + 54222354, + 70698838 + ], + [ + 65706331, + 39222377 + ], + [ + 19634037, + 77034395 + ], + [ + 76214613, + 89721308 + ], + [ + 23177269, + 58192296 + ], + [ + 7088184, + 80480225 + ], + [ + 69541789, + 90846454 + ], + [ + 18475593, + 71151200 + ], + [ + 12545276, + 1209815 + ], + [ + 20540983, + 29104106 + ], + [ + 5918429, + 36215067 + ], + [ + 7443238, + 18663717 + ], + [ + 97799217, + 28760631 + ], + [ + 92699630, + 76780058 + ], + [ + 35810155, + 73834975 + ], + [ + 27831693, + 81406897 + ], + [ + 58185920, + 1380586 + ], + [ + 12654719, + 63929792 + ], + [ + 96903899, + 33961204 + ], + [ + 31733317, + 66861484 + ], + [ + 36140333, + 13090000 + ], + [ + 34696553, + 74402317 + ], + [ + 30828698, + 42955647 + ], + [ + 96777876, + 33743852 + ], + [ + 19085952, + 37265536 + ], + [ + 12626193, + 74061323 + ], + [ + 87465262, + 55194823 + ], + [ + 97497336, + 28868616 + ], + [ + 72488908, + 89386599 + ], + [ + 97721988, + 90023271 + ], + [ + 98441112, + 20890220 + ], + [ + 67954498, + 95208401 + ], + [ + 17426697, + 21738824 + ], + [ + 16680500, + 59199597 + ], + [ + 62595489, + 51507964 + ], + [ + 28482699, + 26379230 + ], + [ + 60488237, + 40288474 + ], + [ + 90586719, + 82123648 + ], + [ + 11785383, + 58242104 + ], + [ + 65965661, + 23025353 + ], + [ + 10297436, + 10684728 + ], + [ + 1431861, + 1040845 + ], + [ + 14610309, + 99948346 + ], + [ + 30260356, + 47347195 + ], + [ + 31647388, + 20539567 + ], + [ + 37663831, + 50878707 + ], + [ + 96086209, + 42883411 + ], + [ + 77014412, + 23198167 + ], + [ + 49203341, + 64922007 + ], + [ + 42830594, + 41170667 + ], + [ + 54458562, + 17292772 + ], + [ + 43419497, + 49551504 + ], + [ + 39113896, + 96145735 + ], + [ + 15151559, + 70501160 + ], + [ + 20065550, + 70406728 + ], + [ + 31958974, + 17977308 + ], + [ + 41870515, + 18720856 + ], + [ + 77122841, + 76813105 + ], + [ + 89994630, + 65775015 + ], + [ + 60374093, + 25608514 + ], + [ + 66703914, + 5929600 + ], + [ + 71021864, + 17470468 + ], + [ + 2238827, + 97288522 + ], + [ + 49923936, + 37101652 + ], + [ + 44458917, + 48433099 + ], + [ + 788520, + 31109403 + ], + [ + 91271029, + 71685823 + ], + [ + 67031756, + 58921154 + ], + [ + 46651184, + 31538204 + ], + [ + 21597768, + 44612900 + ], + [ + 17761769, + 68195841 + ], + [ + 92461414, + 7708066 + ], + [ + 35368085, + 7379232 + ], + [ + 17701243, + 99147583 + ], + [ + 40001768, + 52354661 + ], + [ + 15616439, + 63837902 + ], + [ + 78181555, + 85719045 + ], + [ + 19229682, + 89363663 + ], + [ + 58170084, + 10187325 + ], + [ + 68777348, + 7572417 + ], + [ + 64657758, + 94698926 + ], + [ + 7397195, + 88383751 + ], + [ + 38739149, + 90124407 + ], + [ + 76323100, + 23771480 + ], + [ + 8903299, + 55226105 + ], + [ + 1443086, + 38706267 + ], + [ + 20977854, + 65777718 + ], + [ + 57715908, + 12319068 + ], + [ + 94711122, + 82196401 + ], + [ + 17106803, + 58582497 + ], + [ + 98838477, + 935461 + ], + [ + 23236033, + 31931029 + ], + [ + 6452442, + 98960207 + ], + [ + 18910741, + 48467673 + ], + [ + 43411954, + 90866056 + ], + [ + 16881745, + 65698188 + ], + [ + 70429163, + 8731748 + ], + [ + 98573651, + 31247613 + ], + [ + 60517758, + 69776894 + ], + [ + 55930311, + 29574210 + ], + [ + 5452946, + 64258034 + ], + [ + 15175194, + 86672009 + ], + [ + 86891608, + 6997988 + ], + [ + 38192679, + 75754854 + ], + [ + 7552238, + 19968098 + ], + [ + 83801194, + 35414341 + ], + [ + 8583133, + 19465698 + ], + [ + 62191066, + 98386265 + ], + [ + 47736423, + 61198719 + ], + [ + 25681101, + 60602320 + ], + [ + 67961358, + 55006688 + ], + [ + 92058250, + 34200063 + ], + [ + 88616601, + 9905793 + ], + [ + 51658490, + 72050005 + ], + [ + 16344604, + 47942604 + ], + [ + 93818058, + 51398841 + ], + [ + 85297895, + 47889268 + ], + [ + 27778249, + 68547453 + ], + [ + 98801465, + 90318969 + ], + [ + 85600757, + 49192797 + ], + [ + 26450873, + 82887336 + ], + [ + 3432718, + 34123371 + ], + [ + 63936527, + 29464119 + ], + [ + 27619208, + 3161216 + ], + [ + 13347360, + 84676134 + ], + [ + 24749672, + 29455627 + ], + [ + 56825442, + 30381303 + ], + [ + 4353176, + 15552719 + ], + [ + 16579457, + 65843364 + ], + [ + 73289105, + 51457953 + ], + [ + 9130730, + 36135096 + ], + [ + 38148800, + 50231557 + ], + [ + 76795609, + 81398022 + ], + [ + 97529204, + 96715039 + ], + [ + 98877356, + 53295434 + ], + [ + 1252379, + 8534927 + ], + [ + 29700472, + 51269701 + ], + [ + 40057413, + 72635142 + ], + [ + 32721207, + 57597215 + ], + [ + 9613310, + 31063218 + ], + [ + 61179279, + 60473386 + ], + [ + 63608602, + 72705406 + ], + [ + 54950534, + 46385173 + ], + [ + 82964036, + 67142926 + ], + [ + 8121808, + 81488646 + ], + [ + 58447634, + 95517938 + ], + [ + 56050462, + 83469802 + ], + [ + 5466883, + 90825250 + ], + [ + 53397593, + 96095194 + ], + [ + 76466581, + 48268468 + ], + [ + 12861227, + 6059137 + ], + [ + 62119296, + 80032314 + ], + [ + 98031274, + 32487179 + ], + [ + 55824685, + 98236401 + ], + [ + 8552729, + 28992413 + ], + [ + 85919276, + 50667278 + ], + [ + 52825820, + 88480743 + ], + [ + 84931435, + 64267422 + ], + [ + 72068252, + 46190522 + ], + [ + 69057401, + 83025765 + ], + [ + 62785603, + 32228728 + ], + [ + 16806754, + 56435043 + ], + [ + 51517624, + 13965126 + ], + [ + 58637275, + 19362003 + ], + [ + 76273817, + 95080953 + ], + [ + 74962096, + 14179774 + ], + [ + 37413651, + 68962960 + ], + [ + 27659573, + 68346696 + ], + [ + 8433907, + 58108047 + ], + [ + 13463102, + 69254461 + ], + [ + 99511348, + 77082626 + ], + [ + 42140485, + 33269340 + ], + [ + 69746850, + 75670281 + ], + [ + 25602627, + 15370782 + ], + [ + 84764629, + 10516536 + ], + [ + 41079232, + 10661980 + ], + [ + 32094724, + 32974320 + ], + [ + 69922151, + 43554674 + ], + [ + 84679560, + 38932856 + ], + [ + 91765550, + 76538782 + ], + [ + 66666946, + 88596945 + ], + [ + 94484733, + 10555168 + ], + [ + 41914549, + 53998097 + ], + [ + 83450488, + 64993812 + ], + [ + 99148928, + 68402396 + ], + [ + 74680327, + 46039164 + ], + [ + 57604193, + 29802449 + ], + [ + 60523958, + 96774857 + ], + [ + 81741214, + 12755432 + ], + [ + 58978305, + 69255462 + ], + [ + 98180070, + 93163350 + ], + [ + 77589463, + 94431387 + ], + [ + 1075305, + 71311311 + ], + [ + 21860803, + 95468173 + ], + [ + 24278542, + 18604601 + ], + [ + 3490421, + 57606820 + ], + [ + 57193775, + 52245245 + ], + [ + 73295554, + 22612369 + ], + [ + 41345892, + 19143522 + ], + [ + 10914658, + 85839900 + ], + [ + 76262274, + 3587449 + ], + [ + 4245328, + 19714365 + ], + [ + 26971889, + 77864118 + ], + [ + 76510711, + 34865485 + ], + [ + 49103036, + 25918148 + ], + [ + 52697494, + 63115511 + ], + [ + 73772609, + 34868294 + ], + [ + 96103493, + 54152621 + ], + [ + 36114180, + 52258911 + ], + [ + 11551781, + 11539445 + ], + [ + 17624151, + 20187277 + ], + [ + 11979274, + 38860248 + ], + [ + 1649952, + 35790466 + ], + [ + 68960735, + 71747094 + ], + [ + 10704279, + 28627618 + ], + [ + 4604573, + 47403225 + ], + [ + 6184963, + 16233037 + ], + [ + 35678522, + 5049303 + ], + [ + 55029877, + 45633665 + ], + [ + 43240716, + 99340654 + ], + [ + 2381897, + 69376069 + ], + [ + 99334437, + 44181056 + ], + [ + 29691233, + 32619575 + ], + [ + 18279197, + 33014212 + ], + [ + 21735420, + 20093354 + ], + [ + 66113858, + 32928605 + ], + [ + 6783236, + 33890959 + ], + [ + 61894827, + 57271053 + ], + [ + 33933019, + 13319303 + ], + [ + 71877593, + 82946081 + ], + [ + 47059009, + 32541506 + ], + [ + 55855789, + 47954714 + ], + [ + 7028908, + 68204323 + ], + [ + 15436093, + 55405851 + ], + [ + 17934167, + 57271210 + ], + [ + 69867419, + 69648492 + ], + [ + 37128834, + 39314873 + ], + [ + 35244589, + 85142665 + ], + [ + 77800618, + 13952474 + ], + [ + 37886637, + 12093691 + ], + [ + 23353642, + 51204190 + ], + [ + 24587520, + 97121696 + ], + [ + 25188690, + 13022651 + ], + [ + 51354402, + 3624751 + ], + [ + 93093032, + 14547330 + ], + [ + 61933534, + 33486051 + ], + [ + 54263674, + 21189626 + ], + [ + 32871764, + 37640110 + ], + [ + 41194711, + 22361234 + ], + [ + 29062199, + 43210561 + ], + [ + 94027269, + 91276252 + ], + [ + 91695064, + 70015736 + ], + [ + 66417819, + 8863338 + ], + [ + 66328184, + 2377560 + ], + [ + 51517301, + 74430344 + ], + [ + 90893269, + 68998519 + ], + [ + 78025614, + 89674658 + ], + [ + 21546332, + 13332824 + ], + [ + 27035457, + 91248091 + ], + [ + 36273846, + 89694721 + ], + [ + 11636654, + 4445277 + ], + [ + 23215121, + 8569735 + ], + [ + 63025756, + 83581211 + ], + [ + 2755696, + 76195791 + ], + [ + 97861358, + 78223918 + ], + [ + 8113987, + 31609801 + ], + [ + 10239340, + 4977422 + ], + [ + 26200154, + 78037008 + ], + [ + 38352937, + 74184213 + ], + [ + 13375044, + 50215742 + ], + [ + 84271406, + 30358110 + ], + [ + 94456611, + 76659763 + ], + [ + 1012988, + 61431431 + ], + [ + 67108824, + 17378953 + ], + [ + 12930911, + 38886023 + ], + [ + 4043228, + 75589592 + ], + [ + 52386195, + 63837180 + ], + [ + 59566848, + 12273416 + ], + [ + 53958150, + 79642823 + ], + [ + 55668124, + 39769293 + ], + [ + 90722078, + 41866327 + ], + [ + 41598411, + 51724511 + ], + [ + 51726930, + 1257515 + ], + [ + 34177036, + 55436218 + ], + [ + 58292716, + 33636775 + ], + [ + 98067369, + 68281090 + ], + [ + 24938698, + 23963171 + ], + [ + 57444150, + 96222692 + ], + [ + 80067804, + 93033396 + ], + [ + 87709384, + 15046180 + ], + [ + 11537765, + 70953276 + ], + [ + 63555852, + 59295837 + ], + [ + 18031194, + 23569802 + ], + [ + 58015249, + 76336277 + ], + [ + 55851472, + 87752675 + ], + [ + 84462285, + 42007878 + ], + [ + 67854756, + 86443541 + ], + [ + 37941787, + 97058373 + ], + [ + 8362935, + 57165819 + ], + [ + 16412914, + 53889381 + ], + [ + 73266465, + 86419955 + ], + [ + 84288983, + 75559197 + ], + [ + 40708233, + 12172758 + ], + [ + 8357095, + 24166205 + ], + [ + 74201949, + 92239911 + ], + [ + 89276067, + 61796130 + ], + [ + 33882132, + 63696515 + ], + [ + 21218895, + 26021172 + ], + [ + 47818446, + 82826432 + ], + [ + 62372028, + 50254557 + ], + [ + 64013015, + 94684002 + ], + [ + 55627207, + 49903184 + ], + [ + 97845465, + 823962 + ], + [ + 38867281, + 22193774 + ], + [ + 14941756, + 99371872 + ], + [ + 71519569, + 39961447 + ], + [ + 25756347, + 13798009 + ], + [ + 136659, + 29832460 + ], + [ + 44048755, + 91189549 + ], + [ + 28103673, + 1045080 + ], + [ + 68105437, + 72434699 + ], + [ + 44900492, + 46334492 + ], + [ + 345558, + 80111138 + ], + [ + 77981054, + 9008114 + ], + [ + 49545088, + 93368100 + ], + [ + 89640661, + 82148015 + ], + [ + 89962660, + 10141033 + ], + [ + 55352681, + 96251002 + ], + [ + 7080626, + 29892244 + ], + [ + 90823570, + 58328738 + ], + [ + 71116817, + 87412354 + ], + [ + 87551273, + 50148484 + ], + [ + 1972989, + 64452579 + ], + [ + 43966283, + 50156780 + ], + [ + 17442809, + 85590357 + ], + [ + 42379152, + 49742307 + ], + [ + 77407643, + 45056112 + ], + [ + 75897972, + 64256113 + ], + [ + 65402559, + 38710484 + ], + [ + 64239556, + 26527441 + ], + [ + 84775047, + 1505262 + ], + [ + 9372716, + 94878028 + ], + [ + 75593927, + 47368508 + ], + [ + 22177766, + 65502760 + ], + [ + 87632497, + 88170327 + ], + [ + 57673284, + 50575893 + ], + [ + 86200772, + 83260604 + ], + [ + 78868021, + 28036298 + ], + [ + 92160758, + 62837792 + ], + [ + 57965032, + 59468981 + ], + [ + 81966592, + 81275893 + ], + [ + 31268027, + 16961259 + ], + [ + 18854904, + 78496077 + ], + [ + 647871, + 57853489 + ], + [ + 29227075, + 75183876 + ], + [ + 6961144, + 19558169 + ], + [ + 10014744, + 18422162 + ], + [ + 12431863, + 57815640 + ], + [ + 4601935, + 4668451 + ], + [ + 88987551, + 38546719 + ], + [ + 33615723, + 33622464 + ], + [ + 27732203, + 17451011 + ], + [ + 81997444, + 15152076 + ], + [ + 68484400, + 88544543 + ], + [ + 36275208, + 30344835 + ], + [ + 40545245, + 21438080 + ], + [ + 60165510, + 47554662 + ], + [ + 45657343, + 9869470 + ], + [ + 39170091, + 1284246 + ], + [ + 31703303, + 73464086 + ], + [ + 86370842, + 30932572 + ], + [ + 6840322, + 18555387 + ], + [ + 20599814, + 39923693 + ], + [ + 42217954, + 81675545 + ], + [ + 68411048, + 82704481 + ], + [ + 86396808, + 70185128 + ], + [ + 62698092, + 9615832 + ], + [ + 4767736, + 16431422 + ], + [ + 70046031, + 97804378 + ], + [ + 76830599, + 13462134 + ], + [ + 35747765, + 22573434 + ], + [ + 74672251, + 57434667 + ], + [ + 38074573, + 61595295 + ], + [ + 67576033, + 79113943 + ], + [ + 48296146, + 55566584 + ], + [ + 25969493, + 73037044 + ], + [ + 45295353, + 76363165 + ], + [ + 59597783, + 85988925 + ], + [ + 68224020, + 27709113 + ], + [ + 71414700, + 47107649 + ], + [ + 85627373, + 86584184 + ], + [ + 90607082, + 8982269 + ], + [ + 6079894, + 43990200 + ], + [ + 6924413, + 72825027 + ], + [ + 82451474, + 21572154 + ], + [ + 53556152, + 34407725 + ], + [ + 47514179, + 34230006 + ], + [ + 37230577, + 97163079 + ], + [ + 30842207, + 53894221 + ], + [ + 24655063, + 91397996 + ], + [ + 41855007, + 67490133 + ], + [ + 22783853, + 22933926 + ], + [ + 74547810, + 18472346 + ], + [ + 17359446, + 4240558 + ], + [ + 10963513, + 10973520 + ], + [ + 43021215, + 32603948 + ], + [ + 83215109, + 71616028 + ], + [ + 72815284, + 80588467 + ], + [ + 161696, + 31375964 + ], + [ + 26176765, + 267792 + ], + [ + 61507106, + 65621316 + ], + [ + 18739432, + 50875490 + ], + [ + 92672200, + 59806 + ], + [ + 74319002, + 48135679 + ], + [ + 85850996, + 28809297 + ], + [ + 77316363, + 76293067 + ], + [ + 26227368, + 28097242 + ], + [ + 57996054, + 38990094 + ], + [ + 16609178, + 60255921 + ], + [ + 6956392, + 17001364 + ], + [ + 20410489, + 23693620 + ], + [ + 27885862, + 91421656 + ], + [ + 74583226, + 93601016 + ], + [ + 22346122, + 41719262 + ], + [ + 26415996, + 64427313 + ], + [ + 20368863, + 76023563 + ], + [ + 99489275, + 97257370 + ], + [ + 3254872, + 41959089 + ], + [ + 93500788, + 85446049 + ], + [ + 77193692, + 69686047 + ], + [ + 81966847, + 2390938 + ], + [ + 51805735, + 68900215 + ], + [ + 5697945, + 94216505 + ], + [ + 52378795, + 60762616 + ], + [ + 3870001, + 33135519 + ], + [ + 80436047, + 51892157 + ], + [ + 76709488, + 91663226 + ], + [ + 30429787, + 72419198 + ], + [ + 6148933, + 34841862 + ], + [ + 10377305, + 24716906 + ], + [ + 98188027, + 7553439 + ], + [ + 69402350, + 18723785 + ], + [ + 9938605, + 33993357 + ], + [ + 66938045, + 83943570 + ], + [ + 67507079, + 92195774 + ], + [ + 66436547, + 34464587 + ], + [ + 62371014, + 3086217 + ], + [ + 21183619, + 32841541 + ], + [ + 64992160, + 16776336 + ], + [ + 80304661, + 50564852 + ], + [ + 24269695, + 39175026 + ], + [ + 10359986, + 38745092 + ], + [ + 35127089, + 63495819 + ], + [ + 54410, + 47910946 + ], + [ + 24400837, + 10393662 + ], + [ + 60410574, + 19427525 + ], + [ + 26474115, + 30979404 + ], + [ + 9331042, + 28020062 + ], + [ + 66658096, + 21945475 + ], + [ + 80801271, + 27401194 + ], + [ + 4442990, + 17512781 + ], + [ + 54572365, + 13390392 + ], + [ + 64456665, + 78603079 + ], + [ + 30898355, + 98059040 + ], + [ + 98562200, + 78378000 + ], + [ + 44381221, + 83500797 + ], + [ + 15536232, + 58646222 + ], + [ + 22634796, + 35556508 + ], + [ + 30699912, + 89010478 + ], + [ + 35273588, + 83032527 + ], + [ + 41957875, + 87919955 + ], + [ + 74676498, + 16584959 + ], + [ + 27954596, + 53546897 + ], + [ + 35289584, + 41798454 + ], + [ + 17278761, + 96439229 + ], + [ + 37882309, + 38539311 + ], + [ + 26527638, + 82164611 + ], + [ + 82176827, + 60122193 + ], + [ + 36281471, + 31579470 + ], + [ + 5311856, + 66775637 + ], + [ + 33978696, + 19759670 + ], + [ + 61557447, + 67591113 + ], + [ + 28396164, + 35303335 + ], + [ + 80470342, + 36212795 + ], + [ + 3864373, + 54197247 + ], + [ + 63881882, + 21113410 + ], + [ + 46215634, + 85887194 + ], + [ + 16379367, + 72587173 + ], + [ + 75204951, + 53462236 + ], + [ + 17173523, + 14093528 + ], + [ + 42051798, + 74968953 + ], + [ + 68007261, + 64168278 + ], + [ + 53341121, + 72681107 + ], + [ + 53346519, + 57200784 + ], + [ + 78171067, + 34995075 + ], + [ + 4329031, + 77528336 + ], + [ + 34371366, + 66499679 + ], + [ + 92416271, + 58788272 + ], + [ + 54490545, + 8745976 + ], + [ + 14591709, + 67425891 + ], + [ + 14514579, + 84628952 + ], + [ + 19942364, + 92825350 + ], + [ + 56010862, + 71992061 + ], + [ + 17199478, + 24405035 + ], + [ + 14208412, + 71235879 + ], + [ + 78619745, + 26773131 + ], + [ + 41676993, + 65289251 + ], + [ + 1159204, + 58662517 + ], + [ + 99729271, + 7893954 + ], + [ + 31368793, + 76986949 + ], + [ + 25915496, + 19072296 + ], + [ + 52151289, + 99768994 + ], + [ + 14505823, + 7198468 + ], + [ + 8396929, + 69991912 + ], + [ + 32582956, + 31807581 + ], + [ + 1364952, + 74352790 + ], + [ + 73204704, + 42345346 + ], + [ + 21215862, + 35593771 + ], + [ + 786272, + 31967036 + ], + [ + 14656238, + 95023641 + ], + [ + 57740637, + 74024972 + ], + [ + 37708247, + 2741869 + ], + [ + 97486228, + 29043350 + ], + [ + 3540078, + 22742328 + ], + [ + 57859239, + 70790967 + ], + [ + 23140431, + 7735898 + ], + [ + 2587697, + 82852649 + ], + [ + 47981340, + 17841642 + ], + [ + 58179359, + 90214381 + ], + [ + 54166455, + 72473350 + ], + [ + 24863630, + 35649393 + ], + [ + 10137014, + 12379035 + ], + [ + 23345608, + 35867049 + ], + [ + 4491619, + 14653531 + ], + [ + 25834582, + 97693629 + ], + [ + 10917392, + 64865211 + ], + [ + 2935425, + 44987407 + ], + [ + 51289156, + 97239001 + ], + [ + 56129339, + 84194284 + ], + [ + 5984610, + 82436743 + ], + [ + 25618659, + 71536420 + ], + [ + 21157608, + 94561922 + ], + [ + 58854890, + 52023031 + ], + [ + 41166686, + 3082815 + ], + [ + 98630632, + 51981234 + ], + [ + 94128793, + 38745304 + ], + [ + 40757363, + 1206282 + ], + [ + 87772203, + 57181 + ], + [ + 77225601, + 73589490 + ], + [ + 44895842, + 46247996 + ], + [ + 89617313, + 95417031 + ], + [ + 76108787, + 68653366 + ], + [ + 87804692, + 61458826 + ], + [ + 12021515, + 91815590 + ], + [ + 20636215, + 97996104 + ], + [ + 300804, + 54412120 + ], + [ + 77187618, + 93287233 + ], + [ + 85400239, + 35826889 + ], + [ + 55284241, + 94661676 + ], + [ + 92273322, + 59646385 + ], + [ + 27992438, + 88650726 + ], + [ + 54636365, + 28551068 + ], + [ + 66742935, + 3135503 + ], + [ + 34019998, + 55830221 + ], + [ + 41206516, + 13049023 + ], + [ + 5974930, + 26452283 + ], + [ + 98775527, + 80184363 + ], + [ + 94475083, + 14468837 + ], + [ + 60034366, + 88717632 + ], + [ + 33106763, + 17302440 + ], + [ + 34804299, + 39495581 + ], + [ + 24111702, + 57999966 + ], + [ + 43728905, + 15431555 + ], + [ + 71400664, + 90019662 + ], + [ + 88025069, + 98765556 + ], + [ + 31774319, + 27579964 + ], + [ + 44585753, + 51789540 + ], + [ + 98292047, + 29234916 + ], + [ + 44284720, + 23934913 + ], + [ + 17447432, + 29078203 + ], + [ + 88312377, + 16764990 + ], + [ + 19655930, + 94802817 + ], + [ + 4563278, + 52446249 + ], + [ + 71533892, + 74318365 + ], + [ + 76340363, + 27117339 + ], + [ + 27645306, + 38544314 + ], + [ + 5098323, + 8928519 + ], + [ + 50610881, + 32421271 + ], + [ + 44820130, + 75609346 + ], + [ + 13254658, + 47313528 + ], + [ + 17590671, + 12673545 + ], + [ + 81910583, + 27577666 + ], + [ + 39837599, + 79508158 + ], + [ + 41672490, + 90026241 + ], + [ + 78690679, + 31604772 + ], + [ + 37282088, + 32691016 + ], + [ + 16321529, + 8023297 + ], + [ + 23964316, + 87078659 + ], + [ + 57645736, + 40968325 + ], + [ + 64795669, + 70855771 + ], + [ + 15518273, + 82413623 + ], + [ + 10269483, + 59569898 + ], + [ + 96345479, + 67002616 + ], + [ + 41085359, + 14655520 + ], + [ + 58293593, + 84871177 + ], + [ + 42073037, + 52582829 + ], + [ + 58849990, + 43531794 + ], + [ + 92449553, + 90205776 + ], + [ + 88095120, + 30760621 + ], + [ + 15927106, + 50880586 + ], + [ + 36387918, + 39387516 + ], + [ + 58642719, + 85661275 + ], + [ + 63399582, + 17761945 + ], + [ + 70714046, + 25077779 + ], + [ + 99790813, + 24140797 + ], + [ + 44630895, + 78764844 + ], + [ + 86277889, + 78116846 + ], + [ + 91052975, + 31805668 + ], + [ + 62549211, + 30234367 + ], + [ + 97932996, + 94037425 + ], + [ + 40567342, + 82988299 + ], + [ + 15217610, + 60014815 + ], + [ + 53186184, + 26890377 + ], + [ + 38003219, + 9450866 + ], + [ + 65674549, + 84112741 + ], + [ + 34916452, + 41397131 + ], + [ + 9284755, + 35930151 + ], + [ + 7856237, + 19027658 + ], + [ + 58254169, + 66431565 + ], + [ + 64510838, + 91249304 + ], + [ + 63921209, + 79510326 + ], + [ + 57173385, + 39432694 + ], + [ + 64495179, + 80405769 + ], + [ + 15307911, + 28717774 + ], + [ + 86675205, + 3620213 + ], + [ + 18231667, + 4416011 + ], + [ + 98895572, + 79807894 + ], + [ + 94167453, + 85821218 + ], + [ + 43982997, + 68911487 + ], + [ + 12042722, + 62509772 + ], + [ + 30510860, + 38744190 + ], + [ + 25957447, + 71701458 + ], + [ + 45610337, + 8868757 + ], + [ + 2855403, + 96252340 + ], + [ + 39101319, + 31799536 + ], + [ + 5343419, + 38811002 + ], + [ + 66183028, + 58968901 + ], + [ + 60931200, + 44501356 + ], + [ + 91791042, + 41268525 + ], + [ + 44400920, + 63911048 + ], + [ + 38016235, + 31125729 + ], + [ + 86953129, + 66758656 + ], + [ + 36739489, + 92980877 + ], + [ + 29212688, + 76744642 + ], + [ + 51661253, + 57570844 + ], + [ + 37758007, + 97602995 + ], + [ + 29057887, + 62563717 + ], + [ + 91449609, + 56912101 + ], + [ + 70576837, + 51766450 + ], + [ + 72282896, + 32097066 + ], + [ + 34457736, + 12520838 + ], + [ + 41067375, + 14601305 + ], + [ + 45600998, + 45467294 + ], + [ + 46483932, + 36248602 + ], + [ + 32243820, + 17835027 + ], + [ + 6342495, + 89729841 + ], + [ + 72920890, + 33465640 + ], + [ + 68102764, + 51345393 + ], + [ + 13898066, + 72351728 + ], + [ + 62002685, + 8560600 + ], + [ + 47476926, + 23678472 + ], + [ + 62773794, + 50024987 + ], + [ + 62224882, + 5746536 + ], + [ + 73262347, + 62489144 + ], + [ + 29623973, + 11293362 + ], + [ + 30697880, + 38290588 + ], + [ + 30553669, + 74215448 + ], + [ + 98539548, + 68857932 + ], + [ + 48056746, + 33200918 + ], + [ + 34442928, + 37197303 + ], + [ + 13410683, + 53878906 + ], + [ + 89599045, + 66105713 + ], + [ + 66867224, + 26937856 + ], + [ + 93790352, + 6797494 + ], + [ + 9436054, + 64507041 + ], + [ + 33621476, + 66129381 + ], + [ + 97445543, + 13958144 + ], + [ + 13882448, + 65699874 + ], + [ + 94574959, + 7133877 + ], + [ + 98039095, + 34002271 + ], + [ + 12364855, + 90556890 + ], + [ + 3655822, + 45958127 + ], + [ + 84502926, + 644802 + ], + [ + 95154311, + 91934751 + ], + [ + 4233218, + 33809870 + ], + [ + 32732272, + 91960856 + ], + [ + 22617906, + 14922171 + ], + [ + 29987068, + 12825306 + ], + [ + 42577520, + 60490957 + ], + [ + 47197715, + 8866123 + ], + [ + 9741965, + 33637189 + ], + [ + 90907723, + 43353448 + ], + [ + 26910913, + 29861806 + ], + [ + 74242526, + 26563548 + ], + [ + 23402789, + 21352195 + ], + [ + 1328185, + 9302308 + ], + [ + 16845319, + 57050741 + ], + [ + 4892637, + 70279518 + ], + [ + 54328129, + 45776766 + ], + [ + 31450696, + 10544332 + ], + [ + 68764972, + 55746712 + ], + [ + 97748069, + 48941805 + ], + [ + 18191250, + 84451357 + ], + [ + 78736777, + 50190190 + ], + [ + 64424831, + 62706477 + ], + [ + 84762915, + 56515667 + ], + [ + 59457500, + 2943206 + ], + [ + 16130004, + 47830731 + ], + [ + 94387905, + 10781836 + ], + [ + 14899730, + 63260409 + ], + [ + 22779723, + 67936519 + ], + [ + 49164117, + 63433243 + ], + [ + 18813488, + 95497109 + ], + [ + 47489420, + 71929907 + ], + [ + 36568706, + 22702851 + ], + [ + 65223034, + 75975222 + ], + [ + 30255315, + 4938140 + ], + [ + 14341558, + 1178151 + ], + [ + 56320467, + 53381229 + ], + [ + 4250533, + 21627890 + ], + [ + 5408612, + 44839843 + ], + [ + 21602845, + 63163003 + ], + [ + 27334041, + 44467800 + ], + [ + 34702130, + 84041784 + ], + [ + 80241092, + 13483261 + ], + [ + 65630403, + 87529681 + ], + [ + 56104643, + 71498229 + ], + [ + 31914731, + 54420093 + ], + [ + 57419974, + 17253231 + ], + [ + 14585964, + 40643594 + ], + [ + 35584211, + 88081916 + ], + [ + 94647628, + 11437242 + ], + [ + 10535245, + 20893996 + ], + [ + 77494045, + 63280938 + ], + [ + 28323595, + 49437596 + ], + [ + 85881869, + 77956896 + ], + [ + 14427821, + 95053781 + ], + [ + 91680256, + 90194067 + ], + [ + 36386493, + 71410497 + ], + [ + 74911770, + 75568966 + ], + [ + 65901105, + 87273538 + ], + [ + 55267977, + 62474590 + ], + [ + 31696657, + 72440973 + ], + [ + 24212957, + 64282065 + ], + [ + 4048214, + 35654546 + ], + [ + 14539551, + 38365302 + ], + [ + 39587515, + 61398190 + ], + [ + 90576509, + 12147096 + ], + [ + 61846116, + 62472289 + ], + [ + 12994969, + 23622268 + ], + [ + 94888684, + 49815873 + ], + [ + 65524026, + 12507864 + ], + [ + 22178670, + 75023506 + ], + [ + 13130637, + 34456507 + ], + [ + 28100244, + 57202552 + ], + [ + 49812265, + 12591280 + ], + [ + 47239685, + 83680792 + ], + [ + 50731240, + 76446477 + ], + [ + 48228259, + 48970106 + ], + [ + 20357017, + 34136595 + ], + [ + 61927577, + 73155011 + ], + [ + 42874109, + 26325923 + ], + [ + 33910112, + 56332532 + ], + [ + 72728112, + 7395854 + ], + [ + 9403177, + 48489925 + ], + [ + 68820580, + 81727112 + ], + [ + 77605376, + 12843106 + ], + [ + 4601977, + 14489758 + ], + [ + 25537211, + 98797357 + ], + [ + 16235617, + 67771604 + ], + [ + 65879028, + 19465587 + ], + [ + 27936831, + 22335899 + ], + [ + 18067053, + 34984572 + ], + [ + 74113530, + 95501273 + ], + [ + 68655385, + 37054004 + ], + [ + 14188309, + 97103560 + ], + [ + 89546805, + 11934124 + ], + [ + 51634515, + 49341069 + ], + [ + 71882076, + 23822612 + ], + [ + 78666166, + 56613815 + ], + [ + 71161744, + 46323780 + ], + [ + 76199855, + 40276106 + ], + [ + 38327514, + 89369688 + ], + [ + 14211413, + 52101426 + ], + [ + 23399655, + 8551539 + ], + [ + 93448606, + 61408787 + ], + [ + 90485388, + 76867972 + ], + [ + 73903476, + 72974996 + ], + [ + 11220710, + 14279338 + ], + [ + 62957232, + 9801134 + ], + [ + 64722319, + 55005267 + ], + [ + 21492213, + 22697974 + ], + [ + 39373017, + 14905647 + ], + [ + 73335665, + 37654557 + ], + [ + 63495558, + 20767230 + ], + [ + 11709019, + 88111059 + ], + [ + 99697819, + 4258150 + ], + [ + 1450803, + 92388068 + ], + [ + 54665341, + 66301228 + ], + [ + 62110871, + 58382922 + ], + [ + 51822742, + 84966532 + ], + [ + 69543134, + 31683883 + ], + [ + 41311299, + 34954538 + ], + [ + 90006717, + 33941026 + ], + [ + 12507564, + 93364853 + ], + [ + 24239902, + 6022585 + ], + [ + 67707184, + 263314 + ], + [ + 41460761, + 23010959 + ], + [ + 3193018, + 83496404 + ], + [ + 4932021, + 9171209 + ], + [ + 4672163, + 49846485 + ], + [ + 6670620, + 65163826 + ], + [ + 17229956, + 29853719 + ], + [ + 81932510, + 1530596 + ], + [ + 73096943, + 76789799 + ], + [ + 76055022, + 6231291 + ], + [ + 17771056, + 76121429 + ], + [ + 68614476, + 58533410 + ], + [ + 54974720, + 15486407 + ], + [ + 59730469, + 37211388 + ], + [ + 96364737, + 42362491 + ], + [ + 28087702, + 85029554 + ], + [ + 57720859, + 9200826 + ], + [ + 51529244, + 13479313 + ], + [ + 266853, + 80264063 + ], + [ + 63068396, + 76029840 + ], + [ + 60385906, + 49051993 + ], + [ + 61213097, + 81246213 + ], + [ + 13912949, + 79442583 + ], + [ + 42537528, + 13400135 + ], + [ + 29360853, + 70147752 + ], + [ + 75607790, + 83543422 + ], + [ + 6742385, + 95327080 + ], + [ + 74542986, + 72073318 + ], + [ + 65865974, + 63320299 + ], + [ + 1997374, + 96746942 + ], + [ + 101952, + 30443322 + ], + [ + 68645301, + 71541156 + ], + [ + 67144160, + 18663382 + ], + [ + 78010783, + 83489667 + ], + [ + 5262672, + 7283713 + ], + [ + 16214377, + 78957697 + ], + [ + 52841592, + 86864300 + ], + [ + 27706513, + 47612772 + ], + [ + 52749129, + 22886641 + ], + [ + 17221827, + 86864390 + ], + [ + 61599529, + 51318616 + ], + [ + 31677183, + 30768868 + ], + [ + 19624493, + 22423404 + ], + [ + 96555774, + 30965514 + ], + [ + 567506, + 32030065 + ], + [ + 39026525, + 93565114 + ], + [ + 9338355, + 99984696 + ], + [ + 84732442, + 2530 + ], + [ + 96674097, + 55842557 + ], + [ + 66981135, + 25705312 + ], + [ + 5862752, + 53247996 + ], + [ + 73781047, + 7604067 + ], + [ + 17177446, + 92324310 + ], + [ + 14250410, + 52206881 + ], + [ + 70075905, + 40771773 + ], + [ + 35187307, + 39338993 + ], + [ + 7483514, + 33148811 + ], + [ + 72814120, + 987286 + ], + [ + 3509180, + 6272458 + ], + [ + 6320674, + 25319054 + ], + [ + 44396849, + 17393421 + ], + [ + 77887225, + 14439981 + ], + [ + 21312312, + 81166146 + ], + [ + 66732064, + 70883009 + ], + [ + 51116218, + 49342441 + ], + [ + 10917818, + 28926668 + ], + [ + 4008890, + 21820831 + ], + [ + 42959566, + 95330458 + ], + [ + 75590307, + 13929353 + ], + [ + 11087296, + 95615486 + ], + [ + 64009083, + 47576313 + ], + [ + 88702663, + 15264346 + ], + [ + 9411425, + 66784544 + ], + [ + 30647686, + 4908740 + ], + [ + 20717836, + 35361989 + ], + [ + 63682362, + 46458728 + ], + [ + 77926032, + 60694744 + ], + [ + 34621320, + 38705530 + ], + [ + 49810387, + 95253641 + ], + [ + 8338109, + 5542697 + ], + [ + 92590459, + 31158779 + ], + [ + 8638981, + 77895360 + ], + [ + 11246345, + 52558927 + ], + [ + 30212778, + 5494221 + ], + [ + 14634044, + 52254945 + ], + [ + 1966693, + 58122362 + ], + [ + 81941600, + 55555083 + ], + [ + 60130630, + 25773188 + ], + [ + 27498152, + 77543889 + ], + [ + 99549084, + 7077660 + ], + [ + 33415235, + 61666332 + ], + [ + 80722563, + 63112937 + ], + [ + 81979729, + 65623411 + ], + [ + 43819952, + 63059243 + ], + [ + 56972096, + 40485641 + ], + [ + 84913152, + 28424832 + ], + [ + 81293128, + 47142451 + ], + [ + 62857489, + 91250698 + ], + [ + 5632093, + 82630423 + ], + [ + 59964513, + 32195644 + ], + [ + 14650935, + 12099785 + ], + [ + 12715412, + 4912406 + ], + [ + 8493007, + 80431589 + ], + [ + 98333608, + 74812312 + ], + [ + 57052012, + 36372812 + ], + [ + 77998518, + 53485256 + ], + [ + 82798911, + 91490616 + ], + [ + 16032653, + 53585713 + ], + [ + 49555518, + 95616553 + ], + [ + 4247240, + 18123324 + ], + [ + 55113574, + 21300941 + ], + [ + 10824027, + 96790885 + ], + [ + 78654283, + 80896124 + ], + [ + 23758684, + 98381744 + ], + [ + 6265241, + 30946701 + ], + [ + 87121097, + 8754037 + ], + [ + 39838699, + 38233107 + ], + [ + 4160057, + 97148892 + ], + [ + 54818179, + 47842756 + ], + [ + 7425589, + 17201607 + ], + [ + 34324832, + 46159332 + ], + [ + 14072858, + 4865716 + ], + [ + 27958851, + 86517162 + ], + [ + 64995602, + 46428817 + ], + [ + 43526091, + 34947801 + ], + [ + 92111041, + 58492076 + ], + [ + 2596474, + 55689223 + ], + [ + 55685419, + 25772367 + ], + [ + 38867863, + 21538097 + ], + [ + 92461340, + 85027997 + ], + [ + 47647736, + 25572100 + ], + [ + 84453776, + 47042293 + ], + [ + 24790930, + 12658413 + ], + [ + 75902901, + 98623080 + ], + [ + 25648139, + 97358511 + ], + [ + 17611498, + 21059251 + ], + [ + 71640506, + 10395305 + ], + [ + 21527981, + 62340764 + ], + [ + 899205, + 64571052 + ], + [ + 90099106, + 8987532 + ], + [ + 67203826, + 72104440 + ], + [ + 39027643, + 45342863 + ], + [ + 36035672, + 15882482 + ], + [ + 85694142, + 69686855 + ], + [ + 76053858, + 62301136 + ], + [ + 30662499, + 47535877 + ], + [ + 17690326, + 80848546 + ], + [ + 15213209, + 5912478 + ], + [ + 83354183, + 63183868 + ], + [ + 92494424, + 63597834 + ], + [ + 98545374, + 22700566 + ], + [ + 20002837, + 66757658 + ], + [ + 15622193, + 90955680 + ], + [ + 27025281, + 56093585 + ], + [ + 48104673, + 91193607 + ], + [ + 6945804, + 47545590 + ], + [ + 63981676, + 66381253 + ], + [ + 80682051, + 53991923 + ], + [ + 55759149, + 39022266 + ], + [ + 18699187, + 80981842 + ], + [ + 97418822, + 63747677 + ], + [ + 49105045, + 21417385 + ], + [ + 54967991, + 86849527 + ], + [ + 2511515, + 95447016 + ], + [ + 27757650, + 87307733 + ], + [ + 72449893, + 23570545 + ], + [ + 87333863, + 64432847 + ], + [ + 43950806, + 48726723 + ], + [ + 55844235, + 71248129 + ], + [ + 12440847, + 96804406 + ], + [ + 71408065, + 71945185 + ], + [ + 72691090, + 90215470 + ], + [ + 66552109, + 61022088 + ], + [ + 97565146, + 35801867 + ], + [ + 31951591, + 10934952 + ], + [ + 59668031, + 98748694 + ], + [ + 41835746, + 93140131 + ], + [ + 19003606, + 68840353 + ], + [ + 90216322, + 43610482 + ], + [ + 9923560, + 78008752 + ], + [ + 7129396, + 36796541 + ], + [ + 21764942, + 65333478 + ], + [ + 98101602, + 33206178 + ], + [ + 56965138, + 35545173 + ], + [ + 98304639, + 25371404 + ], + [ + 95401559, + 10008547 + ], + [ + 73090096, + 72336545 + ], + [ + 26065616, + 3005261 + ], + [ + 42627848, + 98155062 + ], + [ + 6425579, + 32611208 + ], + [ + 57758249, + 23259476 + ], + [ + 90850857, + 59973356 + ], + [ + 1103507, + 99623695 + ], + [ + 45481202, + 59494829 + ], + [ + 98205623, + 61015659 + ], + [ + 474098, + 2539565 + ], + [ + 94998773, + 91515438 + ], + [ + 29843299, + 705508 + ], + [ + 28630010, + 79709851 + ], + [ + 20604045, + 60870706 + ], + [ + 76668742, + 4388345 + ], + [ + 33252471, + 69332540 + ], + [ + 40830265, + 7496747 + ], + [ + 3653999, + 88942157 + ], + [ + 67777506, + 43222229 + ], + [ + 36130017, + 98545177 + ], + [ + 46034084, + 78186177 + ], + [ + 99268378, + 17403107 + ], + [ + 59507245, + 49973958 + ], + [ + 50860780, + 68936467 + ], + [ + 14707480, + 96538406 + ], + [ + 659795, + 99139405 + ], + [ + 11038307, + 38857938 + ], + [ + 76695839, + 19537081 + ], + [ + 89718396, + 63262754 + ], + [ + 82603567, + 55802633 + ], + [ + 53120926, + 21901841 + ], + [ + 96185324, + 67634026 + ], + [ + 35510467, + 80379656 + ], + [ + 63639975, + 70682349 + ], + [ + 64049265, + 95498127 + ], + [ + 59476808, + 55846200 + ], + [ + 71604408, + 37836075 + ], + [ + 2023701, + 59328706 + ], + [ + 88152515, + 76776786 + ], + [ + 2670840, + 39663138 + ], + [ + 28247884, + 30023701 + ], + [ + 28236431, + 12821534 + ], + [ + 96156601, + 29578875 + ], + [ + 45511213, + 90963608 + ], + [ + 10469031, + 97281350 + ], + [ + 45154156, + 95663403 + ], + [ + 6447395, + 32344258 + ], + [ + 94728970, + 91352795 + ], + [ + 31187927, + 56822061 + ], + [ + 85546688, + 46679629 + ], + [ + 6918120, + 88360816 + ], + [ + 19564154, + 51432305 + ], + [ + 85122340, + 76653537 + ], + [ + 10670137, + 47118365 + ], + [ + 65742679, + 49237577 + ], + [ + 67430958, + 57311890 + ], + [ + 44310284, + 74527972 + ], + [ + 68340842, + 6649992 + ], + [ + 87943602, + 61726019 + ], + [ + 20358506, + 37692123 + ], + [ + 11877413, + 89351874 + ], + [ + 62103997, + 89924328 + ], + [ + 99591888, + 11504610 + ], + [ + 65194976, + 67619040 + ], + [ + 49572321, + 16876704 + ], + [ + 57382001, + 31313558 + ], + [ + 69654719, + 79676101 + ], + [ + 43967096, + 82764772 + ], + [ + 51913795, + 63680707 + ], + [ + 14355017, + 79073565 + ], + [ + 6314842, + 37136549 + ], + [ + 82337972, + 25860317 + ], + [ + 46396490, + 11552401 + ], + [ + 87614535, + 72938396 + ], + [ + 31161472, + 97060555 + ], + [ + 78302410, + 42690052 + ], + [ + 49263580, + 49368484 + ], + [ + 12273304, + 68331839 + ], + [ + 15338524, + 36815690 + ], + [ + 60443380, + 20596422 + ], + [ + 21488496, + 19630133 + ], + [ + 62137370, + 17019963 + ], + [ + 80897910, + 92186892 + ], + [ + 24221388, + 20964961 + ], + [ + 58395200, + 50126813 + ], + [ + 92452791, + 11986784 + ], + [ + 4628734, + 96645480 + ], + [ + 29999299, + 646833 + ], + [ + 22504353, + 38879512 + ], + [ + 67411106, + 99287541 + ], + [ + 74005641, + 8421792 + ], + [ + 32414904, + 38200599 + ], + [ + 74288630, + 17711786 + ], + [ + 60941439, + 80584926 + ], + [ + 79384892, + 57502742 + ], + [ + 71575758, + 9585357 + ], + [ + 42447009, + 8938696 + ], + [ + 2524416, + 98038474 + ], + [ + 3619719, + 62282141 + ], + [ + 31973254, + 35129685 + ], + [ + 93873403, + 56392036 + ], + [ + 47563625, + 43486992 + ], + [ + 50182213, + 90424589 + ], + [ + 96826029, + 82131471 + ], + [ + 96654, + 40215048 + ], + [ + 53182086, + 55580184 + ], + [ + 98273222, + 6371534 + ], + [ + 40328528, + 40030573 + ], + [ + 29564780, + 9163463 + ], + [ + 18704541, + 54570737 + ], + [ + 90728592, + 64846063 + ], + [ + 40950457, + 47455091 + ], + [ + 40514065, + 7289527 + ], + [ + 10989847, + 49490436 + ], + [ + 71751639, + 43874211 + ], + [ + 66267444, + 52808980 + ], + [ + 92444974, + 74393684 + ], + [ + 78609367, + 79323405 + ], + [ + 19725173, + 98742685 + ], + [ + 10463699, + 44813273 + ], + [ + 36736174, + 15947049 + ], + [ + 5426969, + 45231870 + ], + [ + 3879324, + 34100194 + ], + [ + 33559372, + 36916179 + ], + [ + 99127823, + 54253646 + ], + [ + 5208953, + 26487274 + ], + [ + 77453004, + 58853166 + ], + [ + 12938590, + 96522867 + ], + [ + 44791513, + 36093604 + ], + [ + 53016216, + 97606926 + ], + [ + 36694349, + 18657999 + ], + [ + 48541696, + 34013262 + ], + [ + 72373195, + 45296231 + ], + [ + 93428912, + 79452907 + ], + [ + 74099742, + 46525727 + ], + [ + 99787289, + 23221967 + ], + [ + 47989463, + 64696614 + ], + [ + 86398367, + 63718245 + ], + [ + 26084675, + 81567284 + ], + [ + 89350406, + 13756971 + ], + [ + 14237731, + 51649634 + ], + [ + 53130285, + 70732881 + ], + [ + 19787686, + 88147269 + ], + [ + 72768054, + 43579835 + ], + [ + 90220217, + 382412 + ], + [ + 77168587, + 95509882 + ], + [ + 10899888, + 47048412 + ], + [ + 39220851, + 78805992 + ], + [ + 13503387, + 10397813 + ], + [ + 11880184, + 23037295 + ], + [ + 47641505, + 39266745 + ], + [ + 23114578, + 32795807 + ], + [ + 51302010, + 47408397 + ], + [ + 93379721, + 57687582 + ], + [ + 27220513, + 97528299 + ], + [ + 41410705, + 97207497 + ], + [ + 14493437, + 8118711 + ], + [ + 51418923, + 32750599 + ], + [ + 81403611, + 5593940 + ], + [ + 91150214, + 22713898 + ], + [ + 41663878, + 74010304 + ], + [ + 76221601, + 8028438 + ], + [ + 43702641, + 3329916 + ], + [ + 4694451, + 75451688 + ], + [ + 54252830, + 88868025 + ], + [ + 83795693, + 56165807 + ], + [ + 49412062, + 43976572 + ], + [ + 36736450, + 33514179 + ], + [ + 98764324, + 56138546 + ], + [ + 88229467, + 84780983 + ], + [ + 30103692, + 38749672 + ], + [ + 21290724, + 63328221 + ], + [ + 93792951, + 70576792 + ], + [ + 662198, + 85714352 + ], + [ + 85284991, + 42451345 + ], + [ + 68356792, + 97537339 + ], + [ + 19496104, + 46074042 + ], + [ + 57150097, + 45192117 + ], + [ + 99229380, + 43891265 + ], + [ + 34283329, + 65211739 + ], + [ + 25641803, + 90843127 + ], + [ + 95249807, + 58355721 + ], + [ + 21136127, + 74695408 + ], + [ + 79630531, + 2543573 + ], + [ + 72888481, + 21607523 + ], + [ + 11468852, + 18195479 + ], + [ + 8264323, + 44673626 + ], + [ + 61268984, + 63680079 + ], + [ + 89135344, + 59015762 + ], + [ + 55491713, + 42886172 + ], + [ + 61844402, + 91761191 + ], + [ + 83946297, + 49749032 + ], + [ + 17468829, + 18026759 + ], + [ + 75203232, + 67260517 + ], + [ + 17341269, + 26909837 + ], + [ + 2797791, + 80179757 + ], + [ + 53141346, + 42063706 + ], + [ + 1443674, + 61709906 + ], + [ + 84311792, + 23433796 + ], + [ + 93242627, + 2537887 + ], + [ + 71894116, + 62788879 + ], + [ + 69735594, + 12456981 + ], + [ + 50140339, + 62836646 + ], + [ + 50282264, + 99527362 + ], + [ + 57008560, + 58644562 + ], + [ + 65969103, + 46695286 + ], + [ + 83252327, + 75498485 + ], + [ + 43044481, + 11768731 + ], + [ + 40399773, + 42834088 + ], + [ + 61311057, + 37100382 + ], + [ + 19580942, + 97129597 + ], + [ + 17371127, + 38139161 + ], + [ + 52828591, + 43975974 + ], + [ + 80687951, + 26927076 + ], + [ + 36403821, + 27422826 + ], + [ + 77499981, + 37239778 + ], + [ + 37473326, + 30479306 + ], + [ + 20560700, + 72090372 + ], + [ + 95735068, + 51765137 + ], + [ + 58950645, + 12781350 + ], + [ + 86700653, + 6203684 + ], + [ + 56484906, + 89067445 + ], + [ + 37848132, + 74917902 + ], + [ + 30464756, + 27268742 + ], + [ + 57622518, + 34204767 + ], + [ + 45482384, + 12706369 + ], + [ + 85282205, + 54549753 + ], + [ + 36733499, + 63133019 + ], + [ + 88243024, + 53270741 + ], + [ + 99263385, + 60578118 + ], + [ + 89953537, + 8109845 + ], + [ + 26467270, + 53842629 + ], + [ + 87631628, + 10283334 + ], + [ + 89557032, + 25538722 + ], + [ + 26581372, + 21681844 + ], + [ + 79509104, + 13533556 + ], + [ + 83391360, + 73818380 + ], + [ + 7806314, + 64081319 + ], + [ + 96697865, + 55330036 + ], + [ + 8813845, + 39505111 + ], + [ + 7452928, + 61166210 + ], + [ + 33389591, + 16121017 + ], + [ + 57883324, + 44097696 + ], + [ + 46581008, + 85679409 + ], + [ + 72319776, + 30376349 + ], + [ + 29258964, + 99188625 + ], + [ + 6804465, + 27861951 + ], + [ + 12370482, + 53151458 + ], + [ + 55193348, + 82230328 + ], + [ + 24387620, + 84376302 + ], + [ + 71894249, + 22351154 + ], + [ + 89588961, + 80023675 + ], + [ + 42826749, + 84361398 + ], + [ + 43308904, + 48044710 + ], + [ + 21034943, + 38021641 + ], + [ + 28476332, + 20285839 + ], + [ + 43843411, + 12903972 + ], + [ + 80424607, + 87007260 + ], + [ + 3406944, + 54277344 + ], + [ + 87127897, + 28036869 + ], + [ + 21655186, + 90706786 + ], + [ + 75044126, + 72604081 + ], + [ + 23825548, + 16770688 + ], + [ + 85412300, + 96927305 + ], + [ + 96837489, + 48546529 + ], + [ + 81467201, + 12375751 + ], + [ + 98643673, + 45041059 + ], + [ + 35045470, + 33616992 + ], + [ + 32041009, + 57853854 + ], + [ + 979554, + 16334858 + ], + [ + 24428502, + 7538345 + ], + [ + 14126599, + 9251937 + ], + [ + 44558044, + 98818306 + ], + [ + 22918209, + 97062500 + ], + [ + 97155251, + 68626292 + ], + [ + 91728998, + 9764369 + ], + [ + 90739171, + 5505892 + ], + [ + 3471221, + 65026153 + ], + [ + 84297266, + 47845638 + ], + [ + 83380135, + 70564584 + ], + [ + 30587006, + 67653849 + ], + [ + 18860653, + 44056022 + ], + [ + 97267334, + 60149049 + ], + [ + 88158402, + 40870993 + ], + [ + 7354276, + 85030251 + ], + [ + 66524494, + 292980 + ], + [ + 11490462, + 95243481 + ], + [ + 25254042, + 4810715 + ], + [ + 35021234, + 87272042 + ], + [ + 8987992, + 32396185 + ], + [ + 81881723, + 57192241 + ], + [ + 65329885, + 23646907 + ], + [ + 60509509, + 57067322 + ], + [ + 46535812, + 8022174 + ], + [ + 57080554, + 84114309 + ], + [ + 78011397, + 74281786 + ], + [ + 91102155, + 66126949 + ], + [ + 88897539, + 1706778 + ], + [ + 28790207, + 43577061 + ], + [ + 74601661, + 99791718 + ], + [ + 58638954, + 48387205 + ], + [ + 2278500, + 4446839 + ], + [ + 21381723, + 31370844 + ], + [ + 89248437, + 41390128 + ], + [ + 64583685, + 31024362 + ], + [ + 23003270, + 49821204 + ], + [ + 94362684, + 36921176 + ], + [ + 40227446, + 67794890 + ], + [ + 48173291, + 67513515 + ], + [ + 50498451, + 16555374 + ], + [ + 90139546, + 53832461 + ], + [ + 23439287, + 54943544 + ], + [ + 41001479, + 97473018 + ], + [ + 16009371, + 24458821 + ], + [ + 71923530, + 6267948 + ], + [ + 20248388, + 94777556 + ], + [ + 34184213, + 21092109 + ], + [ + 21608132, + 31734275 + ], + [ + 97175788, + 38956120 + ], + [ + 23949450, + 12012208 + ], + [ + 25708780, + 80518535 + ], + [ + 50753902, + 6576898 + ], + [ + 60667420, + 42946770 + ], + [ + 7293510, + 60910419 + ], + [ + 86081222, + 66236447 + ], + [ + 72180580, + 16501648 + ], + [ + 98253728, + 61946704 + ], + [ + 30408666, + 57133829 + ], + [ + 16387849, + 88282232 + ], + [ + 35126581, + 26385001 + ], + [ + 46834243, + 64502317 + ], + [ + 59026242, + 46414737 + ], + [ + 29282292, + 74210364 + ], + [ + 4575694, + 54417696 + ], + [ + 8768299, + 25753893 + ], + [ + 59852412, + 87657766 + ], + [ + 50406230, + 57551924 + ], + [ + 92093891, + 99246400 + ], + [ + 54349456, + 81111546 + ], + [ + 92422427, + 28227532 + ], + [ + 12701464, + 27581785 + ], + [ + 65074126, + 27652955 + ], + [ + 82655236, + 76025289 + ], + [ + 308057, + 66118826 + ], + [ + 10053144, + 96474788 + ], + [ + 39630492, + 58304633 + ], + [ + 5808033, + 94835878 + ], + [ + 92890578, + 97669688 + ], + [ + 83612346, + 41144313 + ], + [ + 71303994, + 56672426 + ], + [ + 61032144, + 2081702 + ], + [ + 86648643, + 8614865 + ], + [ + 23185984, + 99316540 + ], + [ + 65476658, + 39574732 + ], + [ + 58023761, + 14545440 + ], + [ + 25658416, + 52754295 + ], + [ + 70932377, + 49232580 + ], + [ + 87023928, + 3095790 + ], + [ + 59698487, + 53069581 + ], + [ + 66571419, + 55864585 + ], + [ + 51987614, + 22758313 + ], + [ + 5933003, + 24546742 + ], + [ + 13140716, + 27693333 + ], + [ + 78782068, + 61856637 + ], + [ + 19395803, + 56086670 + ], + [ + 35885997, + 63272270 + ], + [ + 76369833, + 56849269 + ], + [ + 38717726, + 57362458 + ], + [ + 86447157, + 34215468 + ], + [ + 22356687, + 45497991 + ], + [ + 24616556, + 19899285 + ], + [ + 13862717, + 74338851 + ], + [ + 82530488, + 76817740 + ], + [ + 13737897, + 44261025 + ], + [ + 80568546, + 84381543 + ], + [ + 71480296, + 98352856 + ], + [ + 94282122, + 9692992 + ], + [ + 6237127, + 64690837 + ], + [ + 74406780, + 54125354 + ], + [ + 28782682, + 15326161 + ], + [ + 80099270, + 64817097 + ], + [ + 72408042, + 59770458 + ], + [ + 73279485, + 3355410 + ], + [ + 43701050, + 99918780 + ], + [ + 51057913, + 472415 + ], + [ + 87118525, + 97655745 + ], + [ + 71547301, + 35278499 + ], + [ + 12639245, + 66709007 + ], + [ + 67019097, + 92618480 + ], + [ + 2402416, + 28413559 + ], + [ + 32221964, + 78508539 + ], + [ + 32116924, + 24170722 + ], + [ + 61136709, + 61301236 + ], + [ + 80891291, + 18267056 + ], + [ + 24005604, + 12926512 + ], + [ + 99517633, + 36671176 + ], + [ + 42912157, + 39283933 + ], + [ + 76766728, + 90525484 + ], + [ + 67428692, + 55646131 + ], + [ + 35964787, + 13047469 + ], + [ + 18319500, + 82472414 + ], + [ + 59395332, + 77679066 + ], + [ + 97779138, + 81794126 + ], + [ + 90319164, + 4019230 + ], + [ + 5195522, + 84168245 + ], + [ + 88694644, + 37116979 + ], + [ + 60413896, + 81888661 + ], + [ + 42627955, + 28229647 + ], + [ + 10482795, + 40528647 + ], + [ + 86569535, + 37817706 + ], + [ + 18570520, + 53787951 + ], + [ + 34052231, + 59250903 + ], + [ + 81395390, + 51951483 + ], + [ + 17333105, + 6146090 + ], + [ + 72968121, + 54285573 + ], + [ + 92914901, + 33660950 + ], + [ + 45019444, + 94251148 + ], + [ + 64063210, + 15706368 + ], + [ + 87838308, + 68287785 + ], + [ + 12474260, + 95832296 + ], + [ + 76549551, + 79287104 + ], + [ + 92413425, + 20169350 + ], + [ + 42399365, + 83272787 + ], + [ + 41995347, + 99048775 + ], + [ + 14365783, + 40117146 + ], + [ + 13872536, + 74135566 + ], + [ + 68831926, + 34896797 + ], + [ + 1217296, + 43318863 + ], + [ + 85059355, + 31029653 + ], + [ + 97963796, + 60255630 + ], + [ + 97956656, + 93964838 + ], + [ + 33737761, + 85484430 + ], + [ + 32120094, + 94294380 + ], + [ + 1181535, + 41533973 + ], + [ + 93953896, + 85018171 + ], + [ + 34051061, + 98941211 + ], + [ + 87015205, + 64106986 + ], + [ + 5737407, + 20776873 + ], + [ + 22938637, + 49802005 + ], + [ + 90803008, + 83747749 + ], + [ + 85404739, + 38997355 + ], + [ + 84406620, + 40481290 + ], + [ + 75306106, + 32084284 + ], + [ + 19583734, + 40216060 + ], + [ + 67289875, + 22734448 + ], + [ + 30757752, + 41310354 + ], + [ + 57699323, + 61873907 + ], + [ + 72290159, + 91209895 + ], + [ + 39540398, + 60591240 + ], + [ + 74237813, + 80435100 + ], + [ + 33756184, + 20236666 + ], + [ + 56011906, + 43065089 + ], + [ + 38921332, + 87137339 + ], + [ + 67714630, + 65763277 + ], + [ + 22804634, + 55429339 + ], + [ + 63646543, + 95459104 + ], + [ + 18512027, + 99790245 + ], + [ + 46504596, + 30813591 + ], + [ + 97086668, + 62373675 + ], + [ + 24525802, + 7663377 + ], + [ + 43319272, + 63882617 + ], + [ + 54737084, + 57972913 + ], + [ + 80606507, + 93301055 + ], + [ + 93721165, + 27185787 + ], + [ + 4567712, + 35975701 + ], + [ + 43210362, + 62653938 + ], + [ + 26155375, + 96695677 + ], + [ + 84715701, + 48773150 + ], + [ + 21895783, + 86231617 + ], + [ + 19280334, + 86566340 + ], + [ + 27815078, + 73102453 + ], + [ + 64338113, + 29886304 + ], + [ + 16783634, + 22823259 + ], + [ + 77178379, + 13519433 + ], + [ + 40110048, + 21802829 + ], + [ + 61086556, + 88235514 + ], + [ + 98266194, + 52369674 + ], + [ + 48411585, + 73112262 + ], + [ + 40513949, + 41160158 + ], + [ + 60978620, + 56877824 + ], + [ + 83695826, + 24740841 + ], + [ + 82510255, + 997473 + ], + [ + 64109595, + 85453530 + ], + [ + 83488213, + 31953169 + ], + [ + 59421844, + 39014209 + ], + [ + 9141685, + 72541035 + ], + [ + 19997760, + 71806941 + ], + [ + 38777700, + 64996644 + ], + [ + 14216616, + 95457969 + ], + [ + 8300040, + 65257147 + ], + [ + 79750941, + 34403227 + ], + [ + 42130636, + 11390625 + ], + [ + 17190865, + 8055683 + ], + [ + 60581363, + 83311807 + ], + [ + 7096063, + 35988306 + ], + [ + 92521287, + 36376264 + ], + [ + 87790380, + 73849269 + ], + [ + 5104181, + 19491744 + ], + [ + 64286670, + 52503992 + ], + [ + 74975221, + 80539917 + ], + [ + 75613793, + 38724204 + ], + [ + 3788594, + 82313515 + ], + [ + 1922896, + 59411160 + ], + [ + 79654493, + 59973362 + ], + [ + 84939945, + 79358067 + ], + [ + 45868363, + 96284312 + ], + [ + 97365605, + 82598591 + ], + [ + 89516193, + 43140478 + ], + [ + 30616682, + 94046308 + ], + [ + 72454587, + 52629260 + ], + [ + 6159146, + 67572941 + ], + [ + 97916399, + 27846011 + ], + [ + 70691186, + 90928415 + ], + [ + 52353146, + 76678903 + ], + [ + 58105750, + 71992215 + ], + [ + 60765931, + 22720094 + ], + [ + 63674601, + 23491637 + ], + [ + 98931915, + 85977890 + ], + [ + 83417821, + 16134739 + ], + [ + 13409232, + 33033206 + ], + [ + 9134229, + 53529251 + ], + [ + 3529533, + 64168597 + ], + [ + 41151056, + 1344427 + ], + [ + 74667249, + 87638211 + ], + [ + 78512598, + 62960547 + ], + [ + 73014486, + 24235108 + ], + [ + 45174758, + 7683598 + ], + [ + 57997624, + 94431564 + ], + [ + 96622006, + 84749989 + ], + [ + 3013481, + 77150880 + ], + [ + 48459373, + 3163891 + ], + [ + 14206529, + 31153060 + ], + [ + 73660738, + 56323546 + ], + [ + 85525470, + 81007282 + ], + [ + 16805642, + 60781958 + ], + [ + 77044067, + 40275450 + ], + [ + 81731314, + 67385553 + ], + [ + 96352398, + 20029704 + ], + [ + 35759789, + 97002663 + ], + [ + 28228472, + 25350372 + ], + [ + 37256920, + 50077675 + ], + [ + 22720464, + 29376542 + ], + [ + 71494954, + 72405784 + ], + [ + 74086473, + 684642 + ], + [ + 50262294, + 48848855 + ], + [ + 65651339, + 46432169 + ], + [ + 12690217, + 71349198 + ], + [ + 75357443, + 40123163 + ], + [ + 68068898, + 53490732 + ], + [ + 5563654, + 44966704 + ], + [ + 72396896, + 20856276 + ], + [ + 69943433, + 56683379 + ], + [ + 75981554, + 46272980 + ], + [ + 34268610, + 81929414 + ], + [ + 22763913, + 48696535 + ], + [ + 17375366, + 56796696 + ], + [ + 43717312, + 76833214 + ], + [ + 17612918, + 52784194 + ], + [ + 92586753, + 99168516 + ], + [ + 62759950, + 30174100 + ], + [ + 70971924, + 11138341 + ], + [ + 31869388, + 94269907 + ], + [ + 38296133, + 59042485 + ], + [ + 4663782, + 49530847 + ], + [ + 37740588, + 62765886 + ], + [ + 19792308, + 84899337 + ], + [ + 45447052, + 18925430 + ], + [ + 52032410, + 23924522 + ], + [ + 41447322, + 1141878 + ], + [ + 63551650, + 90922592 + ], + [ + 52872134, + 73984081 + ], + [ + 3796395, + 84302180 + ], + [ + 15060886, + 92993384 + ], + [ + 98178768, + 83066307 + ], + [ + 80983730, + 56191953 + ], + [ + 46140826, + 31275915 + ], + [ + 75903154, + 61116696 + ], + [ + 42255453, + 19879262 + ], + [ + 82127924, + 22799263 + ], + [ + 96653140, + 32620621 + ], + [ + 30356747, + 75912587 + ], + [ + 73041, + 93705147 + ], + [ + 74669234, + 18331347 + ], + [ + 98767112, + 42220163 + ], + [ + 84622122, + 26677086 + ], + [ + 21604231, + 97679975 + ], + [ + 50447710, + 55898465 + ], + [ + 17467992, + 88960668 + ], + [ + 94814578, + 19953851 + ], + [ + 37805454, + 7086149 + ], + [ + 37534879, + 52899015 + ], + [ + 48948571, + 58982153 + ], + [ + 24854360, + 63929060 + ], + [ + 33330529, + 58538081 + ], + [ + 7097757, + 61850593 + ], + [ + 80026306, + 40751385 + ], + [ + 50504594, + 63071289 + ], + [ + 65121465, + 50342904 + ], + [ + 60975028, + 16180040 + ], + [ + 56124707, + 29423980 + ], + [ + 35375906, + 44863282 + ], + [ + 19427186, + 18293257 + ], + [ + 36368731, + 95193769 + ], + [ + 30570222, + 34730615 + ], + [ + 19754285, + 88122104 + ], + [ + 19501364, + 35838884 + ], + [ + 90584537, + 44754493 + ], + [ + 47303470, + 51609185 + ], + [ + 83243734, + 71680656 + ], + [ + 61482173, + 55160718 + ], + [ + 81641276, + 42972954 + ], + [ + 13958289, + 83732146 + ], + [ + 9895134, + 54878649 + ], + [ + 12147192, + 69495175 + ], + [ + 74902597, + 32275625 + ], + [ + 85991031, + 10569246 + ], + [ + 11767301, + 60712140 + ], + [ + 11039452, + 91464906 + ], + [ + 26930991, + 2815862 + ], + [ + 79840056, + 31674549 + ], + [ + 41955711, + 29134461 + ], + [ + 33775345, + 46721516 + ], + [ + 26630014, + 66788103 + ], + [ + 57068889, + 77787337 + ], + [ + 80574051, + 42296168 + ], + [ + 6299845, + 18809075 + ], + [ + 82948865, + 4316934 + ], + [ + 29006720, + 66307493 + ], + [ + 73201102, + 67176667 + ], + [ + 93129899, + 56930017 + ], + [ + 49870307, + 45264964 + ], + [ + 99157016, + 92387411 + ], + [ + 57010445, + 2234609 + ], + [ + 87471595, + 78525251 + ], + [ + 29941112, + 6279795 + ], + [ + 66924215, + 32289130 + ], + [ + 80706783, + 71711082 + ], + [ + 58240202, + 50983578 + ], + [ + 5251845, + 61220043 + ], + [ + 79531998, + 78529337 + ], + [ + 2104656, + 26134363 + ], + [ + 74952572, + 32848552 + ], + [ + 85912059, + 91737123 + ], + [ + 59892988, + 70263754 + ], + [ + 95840017, + 8857257 + ], + [ + 20122373, + 18267502 + ], + [ + 11717699, + 83571720 + ], + [ + 78486610, + 70529928 + ], + [ + 31744296, + 79671555 + ], + [ + 55449337, + 61741081 + ], + [ + 40847436, + 77478944 + ], + [ + 91741183, + 46720553 + ], + [ + 87703131, + 1128240 + ], + [ + 81898682, + 63019407 + ], + [ + 50220240, + 19614745 + ], + [ + 47093230, + 71175765 + ], + [ + 45113972, + 30122159 + ], + [ + 17848991, + 71177902 + ], + [ + 54942317, + 83360059 + ], + [ + 147432, + 61411066 + ], + [ + 10795905, + 17133644 + ], + [ + 84649769, + 90351708 + ], + [ + 92900403, + 21933738 + ], + [ + 17742599, + 62658525 + ], + [ + 54319929, + 60942531 + ], + [ + 47895143, + 35530352 + ], + [ + 83428375, + 58968719 + ], + [ + 93505103, + 67013505 + ], + [ + 15229855, + 68025305 + ], + [ + 74275041, + 15131430 + ], + [ + 253304, + 2055200 + ], + [ + 71888058, + 45543645 + ], + [ + 15056877, + 31377226 + ], + [ + 64687582, + 65123491 + ], + [ + 99929708, + 14681180 + ], + [ + 53471887, + 14758656 + ], + [ + 98302991, + 87614546 + ], + [ + 66042600, + 15904100 + ], + [ + 88757760, + 242918 + ], + [ + 15823925, + 69044736 + ], + [ + 8520061, + 96134119 + ], + [ + 49319711, + 71153222 + ], + [ + 69938677, + 82561361 + ], + [ + 23767678, + 5386029 + ], + [ + 21874807, + 36624396 + ], + [ + 66968739, + 72955320 + ], + [ + 31609706, + 36816936 + ], + [ + 72628579, + 39815208 + ], + [ + 64414473, + 60541537 + ], + [ + 34274686, + 24824633 + ], + [ + 53164028, + 85869628 + ], + [ + 98539706, + 43938554 + ], + [ + 21477655, + 99815206 + ], + [ + 35755695, + 65659956 + ], + [ + 66780493, + 21740311 + ], + [ + 21712142, + 72461142 + ], + [ + 47068895, + 58570992 + ], + [ + 6222595, + 78818196 + ], + [ + 85585781, + 19640902 + ], + [ + 51748684, + 50839525 + ], + [ + 78531404, + 9129597 + ], + [ + 34242016, + 70587867 + ], + [ + 14997912, + 61827385 + ], + [ + 75546538, + 89610743 + ], + [ + 47380548, + 34036456 + ], + [ + 76626549, + 96408318 + ], + [ + 90120791, + 20819739 + ], + [ + 3206428, + 11060069 + ], + [ + 82847628, + 74034484 + ], + [ + 28731077, + 2421148 + ], + [ + 12738128, + 22218222 + ], + [ + 62910631, + 43484183 + ], + [ + 75149630, + 68079908 + ], + [ + 36346179, + 87593593 + ], + [ + 90277639, + 98189298 + ], + [ + 39590767, + 95026161 + ], + [ + 34328820, + 6586837 + ], + [ + 54484921, + 22094227 + ], + [ + 95673144, + 12657933 + ], + [ + 14970058, + 79488855 + ], + [ + 83475477, + 79042729 + ], + [ + 71135965, + 11158649 + ], + [ + 66713359, + 76162643 + ], + [ + 84214793, + 510119 + ], + [ + 54680704, + 83605245 + ], + [ + 64835757, + 53564373 + ], + [ + 51151004, + 85549832 + ], + [ + 41634410, + 3019541 + ], + [ + 22674050, + 158586 + ], + [ + 797991, + 22472613 + ], + [ + 3446926, + 27635382 + ], + [ + 81559465, + 44254470 + ], + [ + 52019038, + 26408599 + ], + [ + 4908858, + 12233778 + ], + [ + 24149644, + 1513556 + ], + [ + 6264405, + 51674721 + ], + [ + 61860807, + 20348260 + ], + [ + 38529747, + 12547342 + ], + [ + 84877991, + 3752034 + ], + [ + 65379691, + 17090602 + ], + [ + 34707382, + 87923642 + ], + [ + 10890005, + 35600155 + ], + [ + 82727955, + 80358072 + ], + [ + 76159013, + 98449532 + ], + [ + 93387564, + 85404863 + ], + [ + 36049096, + 20229586 + ], + [ + 4581312, + 42459763 + ], + [ + 7495512, + 61794495 + ], + [ + 86735293, + 7754385 + ], + [ + 3890486, + 92055928 + ], + [ + 60398377, + 25906025 + ], + [ + 10917678, + 14065490 + ], + [ + 70589465, + 48225945 + ], + [ + 738141, + 3797157 + ], + [ + 89281630, + 35021185 + ], + [ + 98005592, + 99436332 + ], + [ + 36997993, + 37259703 + ], + [ + 10585909, + 51880998 + ], + [ + 82954356, + 62736610 + ], + [ + 10563812, + 1788739 + ], + [ + 62901231, + 34461770 + ], + [ + 21567851, + 81297577 + ], + [ + 94610351, + 34909149 + ], + [ + 22215543, + 38727119 + ], + [ + 30900045, + 64545751 + ], + [ + 36452087, + 40861978 + ], + [ + 57365439, + 26468311 + ], + [ + 36108763, + 22863550 + ], + [ + 91346953, + 38422238 + ], + [ + 14909384, + 85451431 + ], + [ + 72501917, + 39710160 + ], + [ + 8850914, + 35359097 + ], + [ + 65833141, + 14638355 + ], + [ + 32315204, + 1974142 + ], + [ + 70326866, + 57999436 + ], + [ + 89989151, + 30947236 + ], + [ + 72709645, + 57753372 + ], + [ + 81079179, + 27275363 + ], + [ + 57236867, + 51293940 + ], + [ + 71154920, + 17634924 + ], + [ + 89311051, + 97567079 + ], + [ + 32177349, + 19576402 + ], + [ + 48818492, + 23857247 + ], + [ + 48884932, + 81089721 + ], + [ + 552051, + 24418115 + ], + [ + 86775412, + 27053417 + ], + [ + 58969612, + 21773755 + ], + [ + 63954358, + 43257732 + ], + [ + 298825, + 21470297 + ], + [ + 6728149, + 88452184 + ], + [ + 95833781, + 89164073 + ], + [ + 51471809, + 96751906 + ], + [ + 26065953, + 59613550 + ], + [ + 22259838, + 5080817 + ], + [ + 47140667, + 65829644 + ], + [ + 36022005, + 13465001 + ], + [ + 32261616, + 95732892 + ], + [ + 4133537, + 70740961 + ], + [ + 39268832, + 52579172 + ], + [ + 67293803, + 66015393 + ], + [ + 89841284, + 84736455 + ], + [ + 79650102, + 59331427 + ], + [ + 45954257, + 94230012 + ], + [ + 53226076, + 13454044 + ], + [ + 49284905, + 638326 + ], + [ + 55043190, + 24744033 + ], + [ + 70993063, + 67660778 + ], + [ + 85615326, + 15432941 + ], + [ + 83656084, + 83753433 + ], + [ + 33134384, + 51618967 + ], + [ + 5462641, + 11074824 + ], + [ + 34367555, + 7084739 + ], + [ + 33661688, + 8721859 + ], + [ + 30753431, + 50535672 + ], + [ + 60792698, + 94212653 + ], + [ + 51329267, + 37305291 + ], + [ + 76507630, + 25541649 + ], + [ + 76064089, + 56543200 + ], + [ + 56477220, + 31090536 + ], + [ + 70995931, + 60702216 + ], + [ + 76395286, + 89894768 + ], + [ + 52319233, + 597798 + ], + [ + 39182941, + 35187880 + ], + [ + 25820004, + 68764908 + ], + [ + 93752620, + 68852847 + ], + [ + 16899047, + 60566340 + ], + [ + 76303296, + 63236431 + ], + [ + 55932571, + 81111503 + ], + [ + 66058427, + 52682380 + ], + [ + 4159896, + 93643366 + ], + [ + 77226237, + 4381640 + ], + [ + 47139304, + 55228062 + ], + [ + 10656152, + 60373862 + ], + [ + 83134648, + 44983127 + ], + [ + 19986198, + 19163449 + ], + [ + 53378959, + 14863632 + ], + [ + 30527785, + 7103604 + ], + [ + 3867955, + 77330507 + ], + [ + 5825675, + 77940038 + ], + [ + 77889916, + 88510657 + ], + [ + 39890570, + 94145293 + ], + [ + 85027225, + 6627750 + ], + [ + 65886380, + 81984235 + ], + [ + 21632572, + 35486835 + ], + [ + 11543238, + 70423480 + ], + [ + 30597430, + 73387624 + ], + [ + 14444435, + 26286356 + ], + [ + 71371732, + 64151585 + ], + [ + 3871249, + 10467706 + ], + [ + 79666619, + 66000685 + ], + [ + 78847422, + 45497047 + ], + [ + 80500188, + 96488493 + ], + [ + 91280666, + 30848513 + ], + [ + 71781781, + 37633819 + ], + [ + 24100948, + 70871503 + ], + [ + 10023230, + 26691577 + ], + [ + 13554704, + 85708616 + ], + [ + 6125649, + 76434821 + ], + [ + 70204773, + 92618918 + ], + [ + 10271794, + 22681796 + ], + [ + 3850037, + 94242279 + ], + [ + 11932993, + 48839828 + ], + [ + 63182668, + 83802757 + ], + [ + 61862860, + 94186909 + ], + [ + 19988230, + 10056317 + ], + [ + 49628018, + 25759522 + ], + [ + 12063547, + 39691071 + ], + [ + 27402301, + 52951478 + ], + [ + 9679497, + 10319609 + ], + [ + 18281691, + 56247255 + ], + [ + 44100655, + 49816723 + ], + [ + 13742872, + 45786666 + ], + [ + 18300727, + 55361732 + ], + [ + 79902711, + 59835336 + ], + [ + 9597565, + 10825045 + ], + [ + 88789297, + 22009129 + ], + [ + 66236755, + 80844298 + ], + [ + 23999954, + 76603862 + ], + [ + 57022479, + 27557463 + ], + [ + 83219594, + 68928398 + ], + [ + 47206470, + 82991928 + ], + [ + 23113023, + 98529883 + ], + [ + 11700476, + 75430527 + ], + [ + 7021026, + 88972806 + ], + [ + 86119387, + 7095648 + ], + [ + 30266346, + 49130989 + ], + [ + 28106936, + 99475082 + ], + [ + 6111045, + 49748480 + ], + [ + 71823024, + 73590172 + ], + [ + 23237338, + 74244511 + ], + [ + 21758392, + 34304027 + ], + [ + 62475854, + 2233900 + ], + [ + 50983343, + 37796263 + ], + [ + 74405170, + 18032024 + ], + [ + 66435478, + 77412525 + ], + [ + 1433368, + 90496215 + ], + [ + 51133276, + 90583552 + ], + [ + 60838064, + 34924547 + ], + [ + 23997669, + 73716729 + ], + [ + 47202523, + 73803808 + ], + [ + 39402643, + 82903622 + ], + [ + 38843607, + 20871151 + ], + [ + 77038227, + 49871619 + ], + [ + 28720121, + 26630543 + ], + [ + 7163793, + 33580644 + ], + [ + 52557472, + 20779969 + ], + [ + 665717, + 57180611 + ], + [ + 16769899, + 54734873 + ], + [ + 5182821, + 35839887 + ], + [ + 96167578, + 92989045 + ], + [ + 35836298, + 3829197 + ], + [ + 59156377, + 43992056 + ], + [ + 85451172, + 4521492 + ], + [ + 47156960, + 36614759 + ], + [ + 59316284, + 49343377 + ], + [ + 38047118, + 2253896 + ], + [ + 45166651, + 74455004 + ], + [ + 52945327, + 80777433 + ], + [ + 59610560, + 83488021 + ], + [ + 67155363, + 86220600 + ], + [ + 1249945, + 87027441 + ], + [ + 67050477, + 12052767 + ], + [ + 10746983, + 443146 + ], + [ + 77828957, + 61731249 + ], + [ + 79903925, + 71641193 + ], + [ + 13910231, + 47828410 + ], + [ + 51815961, + 9089099 + ], + [ + 47278145, + 92730774 + ], + [ + 71872264, + 71218619 + ], + [ + 22947738, + 98287655 + ], + [ + 92404904, + 47358689 + ], + [ + 45502683, + 44105926 + ], + [ + 75825422, + 53474989 + ], + [ + 44753773, + 52516125 + ], + [ + 1537830, + 79881977 + ], + [ + 44089798, + 55127921 + ], + [ + 6786031, + 57717402 + ], + [ + 44017369, + 25689570 + ], + [ + 50755138, + 53482670 + ], + [ + 32590789, + 26765338 + ], + [ + 67265057, + 55168333 + ], + [ + 51245961, + 49946422 + ], + [ + 91387612, + 14224872 + ], + [ + 37660019, + 8287683 + ], + [ + 97481821, + 35745921 + ], + [ + 4534085, + 2451146 + ], + [ + 16708387, + 63568861 + ], + [ + 66172592, + 89613305 + ], + [ + 48745190, + 63234794 + ], + [ + 40181715, + 94741522 + ], + [ + 10945964, + 41283430 + ], + [ + 2041314, + 11908020 + ], + [ + 83659421, + 22790095 + ], + [ + 66286252, + 29336488 + ], + [ + 56604520, + 76147372 + ], + [ + 63662749, + 32692371 + ], + [ + 52187285, + 41888411 + ], + [ + 47335182, + 95337650 + ], + [ + 87233738, + 37956104 + ], + [ + 94463345, + 81080374 + ], + [ + 30072284, + 16288834 + ], + [ + 41982966, + 45289035 + ], + [ + 49596263, + 60362640 + ], + [ + 95302546, + 24607694 + ], + [ + 82461150, + 86331156 + ], + [ + 24759759, + 4354925 + ], + [ + 61106732, + 97707586 + ], + [ + 54496514, + 78421411 + ], + [ + 40243575, + 42417282 + ], + [ + 72622907, + 9747775 + ], + [ + 22280746, + 46291009 + ], + [ + 1808154, + 3536144 + ], + [ + 11759984, + 58901285 + ], + [ + 15763254, + 85921528 + ], + [ + 65501910, + 80155136 + ], + [ + 86454464, + 16910079 + ], + [ + 5266187, + 58997046 + ], + [ + 30272707, + 83407987 + ], + [ + 96779300, + 7770505 + ], + [ + 21079839, + 39916212 + ], + [ + 46890307, + 35858665 + ], + [ + 1048531, + 64547191 + ], + [ + 7800707, + 91631899 + ], + [ + 20933042, + 76519353 + ], + [ + 82389920, + 84502091 + ], + [ + 75490806, + 68888723 + ], + [ + 57797815, + 39435970 + ], + [ + 48952024, + 42594702 + ], + [ + 27317889, + 97942406 + ], + [ + 66304376, + 22861010 + ], + [ + 14538421, + 94404516 + ], + [ + 68617057, + 88807619 + ], + [ + 99238069, + 47214786 + ], + [ + 85248796, + 69967490 + ], + [ + 97448390, + 42494248 + ], + [ + 48286254, + 91329461 + ], + [ + 10282568, + 34951922 + ], + [ + 21838185, + 4151551 + ], + [ + 10531497, + 6378887 + ], + [ + 61650773, + 32944827 + ], + [ + 89523588, + 39590023 + ], + [ + 77924715, + 47486691 + ], + [ + 5454033, + 13216484 + ], + [ + 62259041, + 93432100 + ], + [ + 79199721, + 17194864 + ], + [ + 48454079, + 44384860 + ], + [ + 42405851, + 35173116 + ], + [ + 48574779, + 62927298 + ], + [ + 55452125, + 98646308 + ], + [ + 46719777, + 30479824 + ], + [ + 70259156, + 28214740 + ], + [ + 90087871, + 52443300 + ], + [ + 78358778, + 28723081 + ], + [ + 12581794, + 78812066 + ], + [ + 13705145, + 84991632 + ], + [ + 35482992, + 582234 + ], + [ + 48852350, + 66483172 + ], + [ + 73670173, + 27310703 + ], + [ + 8894896, + 3481220 + ], + [ + 35432068, + 63699368 + ], + [ + 29989509, + 44471243 + ], + [ + 14536729, + 33357288 + ], + [ + 8870214, + 2302087 + ], + [ + 28797029, + 70432057 + ], + [ + 5741282, + 1745656 + ], + [ + 43969361, + 35998649 + ], + [ + 97300934, + 32193282 + ], + [ + 77094273, + 41754583 + ], + [ + 18359955, + 74439528 + ], + [ + 16736825, + 16896407 + ], + [ + 74432541, + 90922061 + ], + [ + 37827418, + 19401881 + ], + [ + 76073085, + 38938524 + ], + [ + 74763264, + 77962379 + ], + [ + 22382798, + 51745654 + ], + [ + 36242253, + 15017207 + ], + [ + 98870263, + 69758052 + ], + [ + 46008009, + 39250166 + ], + [ + 76639906, + 61277551 + ], + [ + 40389364, + 53823778 + ], + [ + 80935427, + 65989615 + ], + [ + 33658226, + 98287253 + ], + [ + 80250714, + 18557033 + ], + [ + 96996003, + 15891232 + ], + [ + 86128601, + 51797545 + ], + [ + 33856962, + 25808625 + ], + [ + 9165281, + 69410011 + ], + [ + 57787011, + 8371895 + ], + [ + 56332290, + 25978687 + ], + [ + 88575549, + 79443411 + ], + [ + 21362321, + 34655323 + ], + [ + 83838557, + 4714549 + ], + [ + 16125878, + 11208080 + ], + [ + 77876830, + 70262830 + ], + [ + 83903617, + 70676270 + ], + [ + 53708137, + 27036763 + ], + [ + 82697004, + 93304932 + ], + [ + 93927270, + 17081871 + ], + [ + 29739687, + 28984321 + ], + [ + 49693815, + 211395 + ], + [ + 96509937, + 98921299 + ], + [ + 58283881, + 78663603 + ], + [ + 61448274, + 23372704 + ], + [ + 56972731, + 23075511 + ], + [ + 60253297, + 53847356 + ], + [ + 4348987, + 36725285 + ], + [ + 30566450, + 12714183 + ], + [ + 97976080, + 70152558 + ], + [ + 23547292, + 87324790 + ], + [ + 46316929, + 86786307 + ], + [ + 64205703, + 15095148 + ], + [ + 64561230, + 11629470 + ], + [ + 44758131, + 8839839 + ], + [ + 77153531, + 82563440 + ], + [ + 62294949, + 73510893 + ], + [ + 71569853, + 15077288 + ], + [ + 44974683, + 80512150 + ], + [ + 19758718, + 73682728 + ], + [ + 87044285, + 28603220 + ], + [ + 48690013, + 91573101 + ], + [ + 69702152, + 53183231 + ], + [ + 23846986, + 68441693 + ], + [ + 71561639, + 75004042 + ], + [ + 47827993, + 41697652 + ], + [ + 95048043, + 60987801 + ], + [ + 99771411, + 16397438 + ], + [ + 67047886, + 80023147 + ], + [ + 18779477, + 98849981 + ], + [ + 59679090, + 59366431 + ], + [ + 22571359, + 3864847 + ], + [ + 19767042, + 20725388 + ], + [ + 76127780, + 78461615 + ], + [ + 16185221, + 56157681 + ], + [ + 69771857, + 17930925 + ], + [ + 92744276, + 99779455 + ], + [ + 95990927, + 36468221 + ], + [ + 49897913, + 18098795 + ], + [ + 74386518, + 6186852 + ], + [ + 99419412, + 41890511 + ], + [ + 48256082, + 28788666 + ], + [ + 49789360, + 30044171 + ], + [ + 56734294, + 68387652 + ], + [ + 40501236, + 88078088 + ], + [ + 19817046, + 18982634 + ], + [ + 20332810, + 20704406 + ], + [ + 86429520, + 89790093 + ], + [ + 97920226, + 80598485 + ], + [ + 82505929, + 81316827 + ], + [ + 62033943, + 88025789 + ], + [ + 8234660, + 71574596 + ], + [ + 90753996, + 6906541 + ], + [ + 49273662, + 44028506 + ], + [ + 93679099, + 12464644 + ], + [ + 58413369, + 85866522 + ], + [ + 30419297, + 33142351 + ], + [ + 57404670, + 59542282 + ], + [ + 45421732, + 40695474 + ], + [ + 50573555, + 35153871 + ], + [ + 64017528, + 48557988 + ], + [ + 19536967, + 50638743 + ], + [ + 29782953, + 83505502 + ], + [ + 47693746, + 75267415 + ], + [ + 9882286, + 71555968 + ], + [ + 980497, + 62340752 + ], + [ + 72578001, + 56860424 + ], + [ + 90795862, + 39427191 + ], + [ + 80266474, + 42915177 + ], + [ + 61438857, + 88500670 + ], + [ + 11792252, + 89735024 + ], + [ + 59631437, + 62605852 + ], + [ + 83142546, + 29077345 + ], + [ + 79286548, + 84170298 + ], + [ + 31955033, + 80168151 + ], + [ + 35507460, + 53107158 + ], + [ + 89484738, + 16450138 + ], + [ + 67769123, + 77088254 + ], + [ + 17015800, + 82688719 + ], + [ + 28114528, + 86931152 + ], + [ + 97918423, + 73942300 + ], + [ + 59095888, + 71117653 + ], + [ + 4864949, + 86157679 + ], + [ + 16543700, + 42956307 + ], + [ + 4971781, + 36698885 + ], + [ + 90528951, + 60640553 + ], + [ + 10153745, + 81932104 + ], + [ + 50383037, + 16891255 + ], + [ + 95110464, + 29950004 + ], + [ + 13850662, + 47083877 + ], + [ + 76605753, + 61065498 + ], + [ + 91298512, + 14259908 + ], + [ + 27595484, + 51881824 + ], + [ + 697761, + 92385485 + ], + [ + 73112824, + 49898311 + ], + [ + 49503226, + 88921920 + ], + [ + 2956094, + 44719157 + ], + [ + 53188876, + 73927128 + ], + [ + 35527108, + 80617803 + ], + [ + 37402602, + 30745633 + ], + [ + 18996628, + 91629495 + ], + [ + 18362111, + 32471761 + ], + [ + 98879299, + 96225735 + ], + [ + 57363512, + 80499269 + ], + [ + 21981340, + 11801707 + ], + [ + 88095558, + 20381490 + ], + [ + 48664860, + 51007359 + ], + [ + 77528489, + 57419103 + ], + [ + 18455673, + 58249079 + ], + [ + 67070648, + 9773309 + ], + [ + 55329377, + 40903507 + ], + [ + 57603580, + 26855929 + ], + [ + 71615763, + 19548952 + ], + [ + 57888053, + 39015992 + ], + [ + 72394199, + 19594306 + ], + [ + 92085877, + 79098957 + ], + [ + 66131210, + 67039383 + ], + [ + 80539722, + 75424999 + ], + [ + 21931829, + 7349808 + ], + [ + 41909569, + 18475458 + ], + [ + 95791083, + 73986103 + ], + [ + 51261406, + 98005048 + ], + [ + 38702126, + 86939888 + ], + [ + 74753730, + 68804051 + ], + [ + 63181301, + 71660282 + ], + [ + 41975711, + 23171557 + ], + [ + 80416283, + 22035080 + ], + [ + 85222849, + 2266967 + ], + [ + 33964110, + 9110229 + ], + [ + 93617297, + 44905525 + ], + [ + 81928336, + 28202784 + ], + [ + 74645330, + 96335599 + ], + [ + 14977875, + 84578527 + ], + [ + 67883075, + 59587913 + ], + [ + 4761738, + 70501128 + ], + [ + 160114, + 18537298 + ], + [ + 70266967, + 83680998 + ], + [ + 58347216, + 2653936 + ], + [ + 72058179, + 48450 + ], + [ + 69003117, + 66997954 + ], + [ + 48152822, + 48864343 + ], + [ + 78177107, + 73824657 + ], + [ + 35908076, + 29711963 + ], + [ + 33754459, + 70279513 + ], + [ + 50233334, + 62256001 + ], + [ + 74069648, + 41892906 + ], + [ + 75876149, + 80353239 + ], + [ + 86307772, + 12030227 + ], + [ + 6891518, + 54128155 + ], + [ + 69868773, + 15159582 + ], + [ + 65922641, + 29669759 + ], + [ + 12899249, + 57089201 + ], + [ + 53398691, + 67393655 + ], + [ + 43266889, + 94521338 + ], + [ + 81169682, + 24414768 + ], + [ + 30035751, + 8882353 + ], + [ + 89589549, + 26512743 + ], + [ + 13777992, + 12982102 + ], + [ + 81108665, + 56888358 + ], + [ + 45577309, + 62660761 + ], + [ + 40488362, + 1425585 + ], + [ + 69886238, + 94375196 + ], + [ + 93852692, + 11481825 + ], + [ + 55354629, + 39928754 + ], + [ + 95985386, + 31373553 + ], + [ + 51061046, + 11474686 + ], + [ + 34502107, + 50591412 + ], + [ + 55687517, + 72798530 + ], + [ + 98144601, + 56905309 + ], + [ + 9669199, + 48792282 + ], + [ + 83720479, + 98922869 + ], + [ + 32314434, + 52100051 + ], + [ + 83888235, + 63361729 + ], + [ + 63508845, + 31077436 + ], + [ + 2989530, + 15127501 + ], + [ + 91854529, + 67887689 + ], + [ + 73929876, + 58414187 + ], + [ + 67662445, + 74789427 + ], + [ + 56613890, + 78986782 + ], + [ + 83156244, + 94445771 + ], + [ + 61437049, + 80505335 + ], + [ + 46570927, + 66929082 + ], + [ + 28600222, + 87225844 + ], + [ + 52286072, + 55287640 + ], + [ + 87947982, + 1628181 + ], + [ + 90411468, + 20560795 + ], + [ + 38300016, + 77819218 + ], + [ + 51093588, + 65480225 + ], + [ + 4595145, + 77188998 + ], + [ + 6656233, + 20017993 + ], + [ + 55352225, + 92827055 + ], + [ + 96113909, + 147846 + ], + [ + 87250430, + 49603907 + ], + [ + 1744828, + 50285986 + ], + [ + 14639159, + 1306049 + ], + [ + 15813415, + 69329885 + ], + [ + 54079965, + 75846404 + ], + [ + 53545553, + 60099878 + ], + [ + 88645682, + 97902804 + ], + [ + 63284154, + 11211205 + ], + [ + 77560332, + 25198984 + ], + [ + 42116400, + 61081454 + ], + [ + 73598600, + 98090082 + ], + [ + 47559455, + 62576136 + ], + [ + 29535241, + 44177109 + ], + [ + 93854601, + 9551122 + ], + [ + 50973964, + 11582956 + ], + [ + 48031206, + 49562540 + ], + [ + 9830463, + 79685148 + ], + [ + 50354889, + 37869067 + ], + [ + 54250470, + 68574292 + ], + [ + 24672942, + 65810205 + ], + [ + 7389655, + 68472417 + ], + [ + 85458250, + 28668364 + ], + [ + 63985817, + 45556593 + ], + [ + 28304465, + 9817651 + ], + [ + 42631593, + 79642934 + ], + [ + 66457736, + 2730900 + ], + [ + 26704126, + 24185569 + ], + [ + 95600350, + 85192851 + ], + [ + 10730169, + 70140838 + ], + [ + 57735158, + 48955548 + ], + [ + 38904052, + 77741655 + ], + [ + 13791926, + 21559308 + ], + [ + 78886155, + 95177132 + ], + [ + 72602861, + 20420316 + ], + [ + 72056269, + 88571933 + ], + [ + 48239574, + 90639060 + ], + [ + 34263353, + 77698245 + ], + [ + 15257064, + 16793494 + ], + [ + 45209880, + 10520728 + ], + [ + 44073276, + 26141678 + ], + [ + 88673983, + 37807062 + ], + [ + 11793328, + 86671812 + ], + [ + 81895007, + 1460515 + ], + [ + 81316911, + 44314003 + ], + [ + 6250303, + 72062341 + ], + [ + 92303233, + 49976415 + ], + [ + 13111223, + 52814009 + ], + [ + 21095793, + 67887515 + ], + [ + 67487395, + 27430590 + ], + [ + 84881010, + 3430817 + ], + [ + 75176051, + 96471315 + ], + [ + 10407905, + 36975619 + ], + [ + 57027474, + 8986551 + ], + [ + 57528416, + 10282040 + ], + [ + 5003565, + 11301374 + ], + [ + 65058792, + 40096468 + ], + [ + 62433437, + 11568864 + ], + [ + 27092922, + 10607194 + ], + [ + 98089860, + 27198838 + ], + [ + 83094101, + 99432802 + ], + [ + 89886488, + 95310660 + ], + [ + 20549285, + 23009202 + ], + [ + 46981153, + 12208602 + ], + [ + 53969331, + 96485756 + ], + [ + 7418241, + 96098269 + ], + [ + 83030821, + 14540123 + ], + [ + 41655776, + 92928449 + ], + [ + 1435898, + 54462238 + ], + [ + 48548875, + 84020663 + ], + [ + 9172273, + 3757708 + ], + [ + 73856846, + 33021613 + ], + [ + 81841483, + 46333220 + ], + [ + 23724344, + 61737854 + ], + [ + 87376492, + 17253701 + ], + [ + 84818013, + 35959837 + ], + [ + 25547998, + 91725502 + ], + [ + 68253449, + 71755116 + ], + [ + 96996104, + 96175306 + ], + [ + 97980933, + 85551192 + ], + [ + 60744969, + 45541178 + ], + [ + 40453620, + 9714488 + ], + [ + 11026632, + 74668581 + ], + [ + 58668053, + 35352883 + ], + [ + 24679019, + 72743754 + ], + [ + 14056088, + 41752527 + ], + [ + 50663380, + 23440063 + ], + [ + 32097269, + 83321785 + ], + [ + 46554096, + 29260574 + ], + [ + 13703044, + 71735051 + ], + [ + 19210239, + 23315125 + ], + [ + 29148894, + 87495428 + ], + [ + 10365253, + 57120959 + ], + [ + 53344135, + 10522248 + ], + [ + 55240155, + 73976035 + ], + [ + 97229710, + 60860034 + ], + [ + 51834868, + 89824179 + ], + [ + 36977993, + 43475144 + ], + [ + 79667211, + 2045000 + ], + [ + 63514389, + 62748604 + ], + [ + 65523457, + 51433827 + ], + [ + 19661697, + 31443591 + ], + [ + 54300209, + 98782539 + ], + [ + 91499623, + 62339368 + ], + [ + 11690245, + 98190621 + ], + [ + 21733301, + 22536473 + ], + [ + 17704202, + 4015492 + ], + [ + 83341736, + 62795240 + ], + [ + 35373578, + 11892555 + ], + [ + 88202327, + 11156038 + ], + [ + 44009663, + 52724940 + ], + [ + 7327154, + 70306142 + ], + [ + 35234921, + 7608064 + ], + [ + 31658398, + 93665859 + ], + [ + 1877328, + 58184952 + ], + [ + 5639648, + 69315020 + ], + [ + 59288287, + 24418801 + ], + [ + 73838929, + 38916491 + ], + [ + 69427454, + 2243634 + ], + [ + 50196787, + 15580985 + ], + [ + 20481467, + 69682427 + ], + [ + 1995606, + 10167851 + ], + [ + 87382062, + 93082293 + ], + [ + 30915052, + 80584312 + ], + [ + 41698906, + 54940022 + ], + [ + 60863845, + 22888903 + ], + [ + 10899041, + 68250521 + ], + [ + 59880102, + 97086467 + ], + [ + 6717562, + 51926007 + ], + [ + 54290089, + 50420315 + ], + [ + 18307229, + 96372986 + ], + [ + 27617015, + 82620751 + ], + [ + 51176071, + 16265661 + ], + [ + 22740996, + 76340806 + ], + [ + 75905909, + 2204750 + ], + [ + 15689994, + 2278446 + ], + [ + 90007450, + 16035909 + ], + [ + 74951200, + 92993489 + ], + [ + 29188400, + 57913414 + ], + [ + 27842, + 81255151 + ], + [ + 37928731, + 65706847 + ], + [ + 76371890, + 38738884 + ], + [ + 14426601, + 57828045 + ], + [ + 95207040, + 10537754 + ], + [ + 90444460, + 97597822 + ], + [ + 33523891, + 65087712 + ], + [ + 88440934, + 78090749 + ], + [ + 10705896, + 93038560 + ], + [ + 53559639, + 43623150 + ], + [ + 23537173, + 75596830 + ], + [ + 36977907, + 63523274 + ], + [ + 64597958, + 61137898 + ], + [ + 92198247, + 37109647 + ], + [ + 6284374, + 38260676 + ], + [ + 23476932, + 83385501 + ], + [ + 45099619, + 19085485 + ], + [ + 59280808, + 75146027 + ], + [ + 77558868, + 90838488 + ], + [ + 18399071, + 90484273 + ], + [ + 27106391, + 82167252 + ], + [ + 37211128, + 20919945 + ], + [ + 20737556, + 45287377 + ], + [ + 2102271, + 99203417 + ], + [ + 48524271, + 52890626 + ], + [ + 52331575, + 26882020 + ], + [ + 10511542, + 82623401 + ], + [ + 12742641, + 57989266 + ], + [ + 27279411, + 98121591 + ], + [ + 85038923, + 59723186 + ], + [ + 42022051, + 89534614 + ], + [ + 7043470, + 44658918 + ], + [ + 66815049, + 71534661 + ], + [ + 1362604, + 95008378 + ], + [ + 65446639, + 20666010 + ], + [ + 48019170, + 98178996 + ], + [ + 67549851, + 68132501 + ], + [ + 99925920, + 26048828 + ], + [ + 84435894, + 63460327 + ], + [ + 98547300, + 47931407 + ], + [ + 24857707, + 83016300 + ], + [ + 21267216, + 71544089 + ], + [ + 39511282, + 5517566 + ], + [ + 19818837, + 41369282 + ], + [ + 52021524, + 29473787 + ], + [ + 28488908, + 4109009 + ], + [ + 49566285, + 40141887 + ], + [ + 93194582, + 4738102 + ], + [ + 5601621, + 15742099 + ], + [ + 890925, + 61413646 + ], + [ + 88089089, + 30345984 + ], + [ + 78447452, + 21100014 + ], + [ + 46105443, + 86536185 + ], + [ + 64391452, + 64818714 + ], + [ + 53119874, + 91693075 + ], + [ + 40155714, + 96531008 + ], + [ + 25473895, + 27319137 + ], + [ + 97771063, + 24431111 + ], + [ + 1449265, + 27537446 + ], + [ + 26774703, + 87949329 + ], + [ + 63913276, + 78114299 + ], + [ + 31229865, + 23309697 + ], + [ + 32263027, + 84377375 + ], + [ + 84647380, + 90717802 + ], + [ + 29813253, + 50743383 + ], + [ + 47634990, + 31834457 + ], + [ + 70278425, + 84070858 + ], + [ + 59274645, + 5716097 + ], + [ + 68809419, + 45584168 + ], + [ + 88319120, + 80265722 + ], + [ + 90597533, + 63273079 + ], + [ + 64854436, + 56547502 + ], + [ + 18292012, + 4110011 + ], + [ + 49631022, + 48321662 + ], + [ + 57294846, + 45552977 + ], + [ + 69267141, + 33276200 + ], + [ + 17637975, + 452260 + ], + [ + 17690747, + 80241505 + ], + [ + 35826650, + 48505157 + ], + [ + 49470967, + 34241645 + ], + [ + 65285361, + 51745301 + ], + [ + 98516427, + 1048432 + ], + [ + 94401998, + 10464220 + ], + [ + 86792023, + 53360487 + ], + [ + 69990045, + 7616517 + ], + [ + 51024152, + 63746675 + ], + [ + 69027666, + 94553163 + ], + [ + 27120436, + 37148673 + ], + [ + 67037302, + 35081249 + ], + [ + 74134320, + 37794570 + ], + [ + 91028190, + 8062874 + ], + [ + 23814388, + 52306715 + ], + [ + 22374074, + 38219224 + ], + [ + 29862615, + 62647462 + ], + [ + 44392210, + 16684941 + ], + [ + 23289262, + 86314446 + ], + [ + 99660910, + 44787617 + ], + [ + 11720285, + 1523642 + ], + [ + 23329883, + 88205321 + ], + [ + 36472594, + 1228685 + ], + [ + 29713108, + 6325188 + ], + [ + 61377473, + 74115561 + ], + [ + 57796848, + 52771237 + ], + [ + 38588045, + 31355504 + ], + [ + 55059234, + 16831225 + ], + [ + 60643958, + 18881404 + ], + [ + 49400654, + 48649355 + ], + [ + 85382694, + 92469499 + ], + [ + 22468604, + 37105530 + ], + [ + 96287372, + 24727875 + ], + [ + 70535594, + 1727992 + ], + [ + 59554153, + 8694459 + ], + [ + 70090949, + 35733799 + ], + [ + 20976412, + 54074582 + ], + [ + 43120126, + 44549397 + ], + [ + 92415391, + 14445400 + ], + [ + 38482255, + 47658822 + ], + [ + 8426192, + 76615403 + ], + [ + 3453396, + 67895951 + ], + [ + 28007610, + 27617644 + ], + [ + 35850186, + 62849136 + ], + [ + 38760051, + 77407972 + ], + [ + 96757269, + 50239507 + ], + [ + 69947444, + 77051782 + ], + [ + 81894279, + 50966436 + ], + [ + 58498451, + 29239909 + ], + [ + 91081071, + 84130965 + ], + [ + 52312723, + 31610971 + ], + [ + 23183203, + 54035656 + ], + [ + 6898021, + 20431664 + ], + [ + 13554410, + 49021278 + ], + [ + 27167487, + 10906869 + ], + [ + 90006852, + 25670415 + ], + [ + 45431125, + 85830586 + ], + [ + 80322216, + 83365603 + ], + [ + 82044674, + 7570386 + ], + [ + 4949696, + 46255218 + ], + [ + 68556549, + 96964730 + ], + [ + 14565060, + 44635882 + ], + [ + 71719086, + 60691645 + ], + [ + 9642395, + 7183257 + ], + [ + 93704615, + 73986121 + ], + [ + 18491189, + 60218910 + ], + [ + 93360404, + 49806330 + ], + [ + 21359809, + 34385920 + ], + [ + 95441482, + 17780697 + ], + [ + 90717773, + 71634139 + ], + [ + 50712228, + 27027503 + ], + [ + 37691985, + 8523876 + ], + [ + 89863172, + 17570047 + ], + [ + 62956542, + 40114856 + ], + [ + 70709413, + 81911836 + ], + [ + 73546665, + 15314517 + ], + [ + 90099648, + 69027654 + ], + [ + 40500209, + 53715996 + ], + [ + 75760342, + 37432524 + ], + [ + 82569243, + 93990472 + ], + [ + 91915336, + 21832827 + ], + [ + 23132014, + 22427989 + ], + [ + 39741225, + 93070219 + ], + [ + 31699361, + 6655837 + ], + [ + 62853295, + 3264381 + ], + [ + 20057644, + 21777762 + ], + [ + 18261997, + 27401216 + ], + [ + 92728617, + 22378621 + ], + [ + 61924378, + 95432289 + ], + [ + 17915754, + 2198892 + ], + [ + 72347608, + 77057423 + ], + [ + 93087050, + 11723187 + ], + [ + 62388079, + 9513305 + ], + [ + 57163721, + 27496758 + ], + [ + 92479137, + 17195750 + ], + [ + 85726859, + 86052338 + ], + [ + 44751630, + 23040732 + ], + [ + 55760271, + 99052326 + ], + [ + 78056867, + 27111723 + ], + [ + 2820251, + 52467047 + ], + [ + 72587586, + 45117940 + ], + [ + 61659938, + 29056994 + ], + [ + 46097056, + 71812978 + ], + [ + 7151592, + 37757987 + ], + [ + 12756213, + 16174227 + ], + [ + 59530566, + 39914225 + ], + [ + 4986047, + 68877087 + ], + [ + 1526865, + 91658800 + ], + [ + 31795158, + 93808094 + ], + [ + 41361019, + 95891027 + ], + [ + 30098509, + 77385916 + ], + [ + 61719917, + 2469752 + ], + [ + 38739930, + 30508587 + ], + [ + 34201191, + 5807799 + ], + [ + 92349795, + 77241961 + ], + [ + 34086229, + 18823038 + ], + [ + 79373964, + 39848914 + ], + [ + 69742417, + 55373819 + ], + [ + 24603153, + 77738184 + ], + [ + 95555167, + 28682092 + ], + [ + 54583635, + 73042530 + ], + [ + 58585592, + 53940435 + ], + [ + 31221983, + 85265842 + ], + [ + 32105307, + 72133874 + ], + [ + 11245738, + 76159532 + ], + [ + 21737201, + 16150689 + ], + [ + 13539188, + 92249612 + ], + [ + 95716637, + 54093458 + ], + [ + 7065959, + 47393330 + ], + [ + 96957241, + 32685169 + ], + [ + 596987, + 51721877 + ], + [ + 72464474, + 95843621 + ], + [ + 85286811, + 40933836 + ], + [ + 92871101, + 53811546 + ], + [ + 98748083, + 69077608 + ], + [ + 88435637, + 62118786 + ], + [ + 10685969, + 34524435 + ], + [ + 9012803, + 45088045 + ], + [ + 61402743, + 88317944 + ], + [ + 38700861, + 68156388 + ], + [ + 37552161, + 87862934 + ], + [ + 81676193, + 76126414 + ], + [ + 75314686, + 90029811 + ], + [ + 58831227, + 7642816 + ], + [ + 39716142, + 81698820 + ], + [ + 31120385, + 39038291 + ], + [ + 51501548, + 99995751 + ], + [ + 25578495, + 79189562 + ], + [ + 94294997, + 62844495 + ], + [ + 29730804, + 26957253 + ], + [ + 55468950, + 33619134 + ], + [ + 12638025, + 77735313 + ], + [ + 39782323, + 2497546 + ], + [ + 15751777, + 20460606 + ], + [ + 65309460, + 39037911 + ], + [ + 19451287, + 3419907 + ], + [ + 94483045, + 42112265 + ], + [ + 83324221, + 85634848 + ], + [ + 72107850, + 79181564 + ], + [ + 22208048, + 46222427 + ], + [ + 29613929, + 77129390 + ], + [ + 6046895, + 30039037 + ], + [ + 61836009, + 35224593 + ], + [ + 79730030, + 88283006 + ], + [ + 54056618, + 82408388 + ], + [ + 81403933, + 59113817 + ], + [ + 28209105, + 44962767 + ], + [ + 62961220, + 86763293 + ], + [ + 45749622, + 95999265 + ], + [ + 75169467, + 54162630 + ], + [ + 17597005, + 79476194 + ], + [ + 73915119, + 43585420 + ], + [ + 87507003, + 33329817 + ], + [ + 67555687, + 17683383 + ], + [ + 70499825, + 75551265 + ], + [ + 73533290, + 3259673 + ], + [ + 36863815, + 10418048 + ], + [ + 52763047, + 50338205 + ], + [ + 81316975, + 34060005 + ], + [ + 42404347, + 78130965 + ], + [ + 73529405, + 22204596 + ], + [ + 72099700, + 90728561 + ], + [ + 1093064, + 39127728 + ], + [ + 30649600, + 47877793 + ], + [ + 82045594, + 76480095 + ], + [ + 6338008, + 44259130 + ], + [ + 85956445, + 43472808 + ], + [ + 53980723, + 72430762 + ], + [ + 98644132, + 22844728 + ], + [ + 31305283, + 70651684 + ], + [ + 20833642, + 82337353 + ], + [ + 9831543, + 65774509 + ], + [ + 90878756, + 93047154 + ], + [ + 21682297, + 29011598 + ], + [ + 59379344, + 69113985 + ], + [ + 50174006, + 17436110 + ], + [ + 26008, + 13662573 + ], + [ + 97688417, + 41087210 + ], + [ + 40910188, + 7892235 + ], + [ + 43459727, + 69968582 + ], + [ + 36960784, + 25380058 + ], + [ + 15540423, + 1455264 + ], + [ + 96540283, + 70365260 + ], + [ + 31120445, + 98377696 + ], + [ + 47830802, + 50958973 + ], + [ + 40270897, + 34415642 + ], + [ + 84601849, + 97947874 + ], + [ + 63964228, + 92913074 + ], + [ + 83384815, + 49232774 + ], + [ + 80470469, + 91806463 + ], + [ + 78335397, + 13450230 + ], + [ + 43256867, + 48651880 + ], + [ + 60920782, + 99604900 + ], + [ + 2024458, + 23250647 + ], + [ + 46093059, + 70981957 + ], + [ + 51638809, + 24737930 + ], + [ + 71358521, + 2029477 + ], + [ + 59137104, + 9647106 + ], + [ + 57449865, + 50214654 + ], + [ + 52696901, + 96506120 + ], + [ + 43759431, + 28069571 + ], + [ + 12346336, + 99270165 + ], + [ + 23898430, + 31290811 + ], + [ + 87115702, + 44701188 + ], + [ + 57864758, + 17890336 + ], + [ + 29278124, + 13891475 + ], + [ + 65865913, + 92824944 + ], + [ + 46840240, + 39028120 + ], + [ + 92787505, + 62067851 + ], + [ + 99996502, + 84870239 + ], + [ + 89562821, + 99050882 + ], + [ + 9865218, + 48626289 + ], + [ + 68664657, + 64549092 + ], + [ + 61236938, + 30592836 + ], + [ + 40798025, + 29446672 + ], + [ + 2879373, + 9167228 + ], + [ + 87856376, + 68929259 + ], + [ + 94560029, + 50368888 + ], + [ + 21128946, + 62591081 + ], + [ + 51432722, + 19790944 + ], + [ + 58459578, + 20123579 + ], + [ + 56707436, + 81684629 + ], + [ + 60676579, + 11792085 + ], + [ + 14445893, + 19579459 + ], + [ + 12935566, + 44825398 + ], + [ + 5374643, + 50387311 + ], + [ + 29364149, + 5225248 + ], + [ + 83294838, + 32903435 + ], + [ + 5045327, + 66856199 + ], + [ + 48618030, + 83500992 + ], + [ + 59977079, + 65309361 + ], + [ + 8328870, + 50432795 + ], + [ + 23528874, + 97694740 + ], + [ + 16597755, + 21477930 + ], + [ + 96262671, + 26288841 + ], + [ + 78080561, + 20789509 + ], + [ + 10456252, + 98219539 + ], + [ + 39559558, + 62088842 + ], + [ + 9220629, + 79555978 + ], + [ + 92441771, + 11249295 + ], + [ + 67131256, + 96702656 + ], + [ + 51583162, + 50055828 + ], + [ + 86098328, + 51169090 + ], + [ + 8761736, + 85374277 + ], + [ + 3149455, + 66789599 + ], + [ + 98583011, + 68704408 + ], + [ + 52859854, + 66182622 + ], + [ + 56397509, + 30712107 + ], + [ + 49126808, + 61530444 + ], + [ + 26055648, + 80955361 + ], + [ + 59676526, + 45347678 + ], + [ + 36073844, + 68765113 + ], + [ + 50582821, + 59223429 + ], + [ + 33074127, + 17421258 + ], + [ + 26942355, + 66993785 + ], + [ + 70117687, + 46325311 + ], + [ + 57304608, + 61162243 + ], + [ + 27454224, + 25121749 + ], + [ + 68435748, + 88594626 + ], + [ + 81524085, + 76868570 + ], + [ + 12529532, + 74621201 + ], + [ + 26749755, + 94052225 + ], + [ + 93341505, + 44852507 + ], + [ + 38549405, + 70196919 + ], + [ + 77733470, + 46072960 + ], + [ + 8807262, + 48964181 + ], + [ + 165043, + 39041653 + ], + [ + 20775749, + 26913763 + ], + [ + 73877080, + 14921525 + ], + [ + 81210831, + 18711946 + ], + [ + 38919938, + 11042563 + ], + [ + 49608165, + 55914402 + ], + [ + 39463353, + 78585601 + ], + [ + 32277347, + 79582518 + ], + [ + 898460, + 99800606 + ], + [ + 24839345, + 65187376 + ], + [ + 81790874, + 31766826 + ], + [ + 44461290, + 77645424 + ], + [ + 97125511, + 13764379 + ], + [ + 49678795, + 90782978 + ], + [ + 77931443, + 90202936 + ], + [ + 87679223, + 25984560 + ], + [ + 26291198, + 60480925 + ], + [ + 93193616, + 5712568 + ], + [ + 91319702, + 69635076 + ], + [ + 43924079, + 38689984 + ], + [ + 94089438, + 31857243 + ], + [ + 99900706, + 62809504 + ], + [ + 98766134, + 36781420 + ], + [ + 71309110, + 55694477 + ], + [ + 73374570, + 55248952 + ], + [ + 58987978, + 76718022 + ], + [ + 42874549, + 6008004 + ], + [ + 22903700, + 26484846 + ], + [ + 91461410, + 64336231 + ], + [ + 64924415, + 76617951 + ], + [ + 16810059, + 4578001 + ], + [ + 44632801, + 42137185 + ], + [ + 55536073, + 25721306 + ], + [ + 65848683, + 22195258 + ], + [ + 6071231, + 88686696 + ], + [ + 39274818, + 34771086 + ], + [ + 19960550, + 26982967 + ], + [ + 96747712, + 54464099 + ], + [ + 50730578, + 94284160 + ], + [ + 62400785, + 47705544 + ], + [ + 33225602, + 85270871 + ], + [ + 20332375, + 71684648 + ], + [ + 74595305, + 3818576 + ], + [ + 65243483, + 6103152 + ], + [ + 71870258, + 69674490 + ], + [ + 33772903, + 45958386 + ], + [ + 31114559, + 40612442 + ], + [ + 28871674, + 82031399 + ], + [ + 26457080, + 60126550 + ], + [ + 7894658, + 2488113 + ], + [ + 13927506, + 95624251 + ], + [ + 4950292, + 62325107 + ], + [ + 55629033, + 39786989 + ], + [ + 50895704, + 99460659 + ], + [ + 79476639, + 23148928 + ], + [ + 52665843, + 44570585 + ], + [ + 74850158, + 18610167 + ], + [ + 31888801, + 30279820 + ], + [ + 72161439, + 81666679 + ], + [ + 66661551, + 97511306 + ], + [ + 72832738, + 27687606 + ], + [ + 24860132, + 80696528 + ], + [ + 35890282, + 24845158 + ], + [ + 81846, + 39783301 + ], + [ + 90759490, + 84546003 + ], + [ + 42120580, + 25868841 + ], + [ + 11906730, + 22555864 + ], + [ + 38512529, + 67844446 + ], + [ + 29562900, + 56822076 + ], + [ + 79899631, + 66149124 + ], + [ + 52980993, + 6212341 + ], + [ + 27754044, + 28928388 + ], + [ + 17711512, + 69318321 + ], + [ + 39681181, + 27895110 + ], + [ + 86600458, + 51299396 + ], + [ + 31833078, + 83213376 + ], + [ + 69703566, + 448444 + ], + [ + 60244392, + 50963189 + ], + [ + 93044074, + 35203311 + ], + [ + 97145129, + 81244039 + ], + [ + 71262879, + 78454972 + ], + [ + 13130899, + 5678672 + ], + [ + 88018980, + 99280055 + ], + [ + 21114718, + 89052792 + ], + [ + 11424182, + 33260224 + ], + [ + 52935740, + 84620277 + ], + [ + 75503314, + 34747818 + ], + [ + 2773754, + 33503262 + ], + [ + 79318731, + 46589490 + ], + [ + 33634240, + 2905506 + ], + [ + 40182972, + 8273568 + ], + [ + 62652356, + 88282170 + ], + [ + 46834441, + 95499967 + ], + [ + 32101802, + 59396499 + ], + [ + 32418949, + 78738096 + ], + [ + 62144023, + 12944221 + ], + [ + 20553528, + 20475354 + ], + [ + 61520694, + 33012076 + ], + [ + 60505785, + 17203869 + ], + [ + 8067049, + 66941430 + ], + [ + 85885688, + 20348698 + ], + [ + 15024516, + 52974248 + ], + [ + 81919049, + 77349731 + ], + [ + 48906612, + 5960141 + ], + [ + 58595794, + 42849711 + ], + [ + 83929878, + 33934684 + ], + [ + 72932647, + 26031488 + ], + [ + 84341225, + 64325362 + ], + [ + 21195820, + 95323916 + ], + [ + 25026290, + 22810488 + ], + [ + 31200891, + 89906032 + ], + [ + 7497143, + 39460177 + ], + [ + 98863573, + 25491138 + ], + [ + 37874055, + 2787671 + ], + [ + 86120079, + 16388436 + ], + [ + 22427609, + 23587872 + ], + [ + 65045919, + 35467296 + ], + [ + 68286098, + 4863727 + ], + [ + 50109633, + 8005258 + ], + [ + 45925878, + 21435544 + ], + [ + 82852320, + 68488174 + ], + [ + 40019218, + 7111156 + ], + [ + 84746849, + 66389378 + ], + [ + 11175938, + 68044198 + ], + [ + 62545390, + 12711494 + ], + [ + 28549968, + 45627765 + ], + [ + 5971379, + 82924882 + ], + [ + 33209752, + 85590638 + ], + [ + 96674278, + 29527653 + ], + [ + 50071008, + 2317226 + ], + [ + 27826616, + 50092820 + ], + [ + 29553161, + 82788442 + ], + [ + 62093819, + 47286917 + ], + [ + 42220375, + 73686085 + ], + [ + 19824114, + 99775900 + ], + [ + 73655040, + 64713558 + ], + [ + 49797396, + 17942328 + ], + [ + 12309209, + 1997596 + ], + [ + 63204601, + 82392258 + ], + [ + 79832442, + 74257835 + ], + [ + 78920998, + 82267331 + ], + [ + 72340527, + 14515023 + ], + [ + 55115240, + 6705177 + ], + [ + 44931737, + 25846299 + ], + [ + 13715191, + 49120449 + ], + [ + 50051729, + 90744288 + ], + [ + 25604598, + 60733587 + ], + [ + 91939763, + 92880021 + ], + [ + 15200432, + 90498312 + ], + [ + 60218170, + 6934316 + ], + [ + 18185841, + 95753525 + ], + [ + 9098379, + 45434281 + ], + [ + 76331473, + 73731611 + ], + [ + 18007013, + 84864189 + ], + [ + 89239889, + 57145751 + ], + [ + 88677587, + 1160605 + ], + [ + 28491048, + 99482494 + ], + [ + 39483715, + 12116908 + ], + [ + 71786409, + 46347132 + ], + [ + 80574745, + 5236593 + ], + [ + 91912578, + 34402033 + ], + [ + 91444511, + 42118307 + ], + [ + 37112803, + 4941813 + ], + [ + 81469240, + 33976149 + ], + [ + 90874441, + 95270986 + ], + [ + 25303674, + 62405510 + ], + [ + 72239705, + 68361490 + ], + [ + 73999529, + 89529034 + ], + [ + 77279653, + 77018319 + ], + [ + 7221915, + 6175301 + ], + [ + 40627314, + 94589358 + ], + [ + 12823493, + 83068227 + ], + [ + 65259456, + 63568307 + ], + [ + 34966432, + 61895677 + ], + [ + 77575702, + 57293994 + ], + [ + 56351719, + 16531548 + ], + [ + 71128879, + 47036022 + ], + [ + 57487588, + 97696099 + ], + [ + 49494460, + 53313150 + ], + [ + 59313430, + 11223930 + ], + [ + 52173004, + 44648104 + ], + [ + 39672156, + 37336044 + ], + [ + 58263615, + 67074972 + ], + [ + 22438875, + 76211677 + ], + [ + 64220222, + 9144633 + ], + [ + 50354648, + 88136776 + ], + [ + 10918004, + 3090531 + ], + [ + 67703639, + 54940741 + ], + [ + 59551763, + 55109815 + ], + [ + 80904695, + 3138657 + ], + [ + 81131069, + 8984496 + ], + [ + 33666843, + 23471216 + ], + [ + 81649260, + 82524848 + ], + [ + 10480523, + 76222979 + ], + [ + 50675336, + 70345990 + ], + [ + 72582556, + 43616958 + ], + [ + 84419199, + 96625977 + ], + [ + 14406802, + 3063889 + ], + [ + 3319076, + 11044819 + ], + [ + 22428888, + 86334981 + ], + [ + 33953821, + 28150193 + ], + [ + 69493259, + 96847016 + ], + [ + 79827807, + 59077159 + ], + [ + 89141946, + 60851635 + ], + [ + 7376653, + 64707000 + ], + [ + 51054374, + 98430353 + ], + [ + 57815883, + 61679986 + ], + [ + 90608180, + 69196275 + ], + [ + 11289293, + 15764746 + ], + [ + 5230914, + 8841821 + ], + [ + 90754796, + 77325454 + ], + [ + 33554904, + 35364292 + ], + [ + 10474219, + 73182114 + ], + [ + 65023027, + 2925439 + ], + [ + 35346977, + 62879879 + ], + [ + 54633632, + 17627947 + ], + [ + 21360693, + 74257736 + ], + [ + 78365820, + 76199857 + ], + [ + 59375838, + 81825668 + ], + [ + 29328767, + 97070975 + ], + [ + 63579419, + 19506949 + ], + [ + 47731261, + 42669271 + ], + [ + 37787218, + 32693710 + ], + [ + 47646242, + 86194744 + ], + [ + 14858473, + 51387817 + ], + [ + 7242995, + 43413372 + ], + [ + 9421761, + 93125643 + ], + [ + 71799108, + 30741075 + ], + [ + 18201262, + 72654784 + ], + [ + 67018968, + 52847624 + ], + [ + 73778849, + 96824345 + ], + [ + 75938001, + 89086817 + ], + [ + 10126971, + 38002670 + ], + [ + 66854484, + 3627353 + ], + [ + 27573282, + 54213154 + ], + [ + 86181766, + 48799059 + ], + [ + 11046938, + 41499158 + ], + [ + 85468727, + 92597634 + ], + [ + 45597628, + 84334277 + ], + [ + 54395392, + 6616885 + ], + [ + 9199291, + 63433333 + ], + [ + 10176024, + 1813027 + ], + [ + 7515063, + 32273126 + ], + [ + 84529380, + 63398762 + ], + [ + 3090126, + 31220196 + ], + [ + 88383212, + 69256044 + ], + [ + 47813859, + 4436493 + ], + [ + 71649873, + 22090611 + ], + [ + 76752131, + 51376958 + ], + [ + 14558579, + 29019572 + ], + [ + 14215984, + 36624576 + ], + [ + 29156800, + 58282921 + ], + [ + 51716545, + 68090963 + ], + [ + 17291133, + 30745491 + ], + [ + 6804874, + 78028874 + ], + [ + 49606883, + 38687495 + ], + [ + 13155450, + 11268756 + ], + [ + 83629615, + 9237072 + ], + [ + 48304149, + 1080944 + ], + [ + 42597150, + 88836009 + ], + [ + 84427814, + 72501358 + ], + [ + 99113199, + 66574298 + ], + [ + 84030840, + 26012181 + ], + [ + 2668808, + 5789918 + ], + [ + 48705708, + 99588394 + ], + [ + 41679364, + 26341434 + ], + [ + 78186342, + 45967534 + ], + [ + 45294592, + 11621360 + ], + [ + 88953370, + 32173272 + ], + [ + 94835300, + 53290835 + ], + [ + 26700834, + 94805928 + ], + [ + 60289131, + 41056493 + ], + [ + 39446246, + 31095483 + ], + [ + 85987972, + 48732277 + ], + [ + 38707098, + 85219458 + ], + [ + 94865910, + 6933066 + ], + [ + 58569598, + 99845529 + ], + [ + 44858502, + 60225623 + ], + [ + 97502259, + 28750969 + ], + [ + 84747811, + 81914099 + ], + [ + 21692156, + 36515152 + ], + [ + 87609821, + 94836198 + ], + [ + 37273167, + 84101491 + ], + [ + 48434657, + 33082277 + ], + [ + 64325481, + 90128870 + ], + [ + 76962289, + 73601551 + ], + [ + 17545547, + 82851769 + ], + [ + 86473351, + 21289965 + ], + [ + 90470830, + 10005851 + ], + [ + 23158878, + 17033993 + ], + [ + 44602424, + 53395845 + ], + [ + 44243202, + 77347950 + ], + [ + 68516594, + 79287339 + ], + [ + 27810492, + 81069718 + ], + [ + 90162757, + 30098908 + ], + [ + 66194493, + 12636258 + ], + [ + 28384930, + 87650347 + ], + [ + 43714693, + 39340173 + ], + [ + 91168662, + 76060024 + ], + [ + 84298878, + 55947552 + ], + [ + 89314472, + 18816713 + ], + [ + 40962593, + 63057447 + ], + [ + 8483620, + 79620264 + ], + [ + 44591286, + 15153427 + ], + [ + 72693606, + 62799222 + ], + [ + 48163921, + 42730555 + ], + [ + 82910234, + 31635907 + ], + [ + 12924917, + 15258296 + ], + [ + 51861416, + 81984842 + ], + [ + 86438721, + 53274180 + ], + [ + 10528790, + 53636468 + ], + [ + 49819861, + 19915872 + ], + [ + 49508524, + 70050030 + ], + [ + 85167872, + 57301362 + ], + [ + 17476079, + 4572411 + ], + [ + 94970184, + 62621039 + ], + [ + 65964374, + 95110426 + ], + [ + 85042060, + 97648146 + ], + [ + 87709803, + 111675 + ], + [ + 89922960, + 80590580 + ], + [ + 15921428, + 69249445 + ], + [ + 33519028, + 73735622 + ], + [ + 96199999, + 43140367 + ], + [ + 63267518, + 31404847 + ], + [ + 50685772, + 99558790 + ], + [ + 51186024, + 9862824 + ], + [ + 91460262, + 78854434 + ], + [ + 58822608, + 38437057 + ], + [ + 68579119, + 11449572 + ], + [ + 52180935, + 4927185 + ], + [ + 25196141, + 46531471 + ], + [ + 52773787, + 438360 + ], + [ + 94309343, + 94242616 + ], + [ + 47868727, + 10758421 + ], + [ + 48716829, + 52449467 + ], + [ + 61172558, + 9542025 + ], + [ + 78657601, + 58265241 + ], + [ + 15716731, + 72506234 + ], + [ + 44542831, + 20587020 + ], + [ + 94227920, + 68328927 + ], + [ + 48674648, + 43085206 + ], + [ + 88170908, + 90237378 + ], + [ + 39794055, + 47096437 + ], + [ + 10538745, + 80584781 + ], + [ + 79477273, + 85863907 + ], + [ + 56991408, + 1575226 + ], + [ + 10343098, + 77029395 + ], + [ + 61831279, + 22784618 + ], + [ + 18930508, + 41364901 + ], + [ + 12388615, + 14414576 + ], + [ + 75413584, + 63484713 + ], + [ + 10803238, + 74974479 + ], + [ + 88760928, + 9707236 + ], + [ + 16809890, + 24296336 + ], + [ + 12942428, + 34056136 + ], + [ + 99675357, + 22659198 + ], + [ + 75065272, + 86717906 + ], + [ + 97843627, + 43204453 + ], + [ + 14952254, + 77393704 + ], + [ + 70083450, + 3969347 + ], + [ + 48955947, + 87361749 + ], + [ + 64849526, + 21877321 + ], + [ + 19051340, + 57474907 + ], + [ + 22229407, + 3911187 + ], + [ + 42084640, + 24278873 + ], + [ + 35829409, + 88322930 + ], + [ + 11577585, + 2084397 + ], + [ + 15669521, + 71937122 + ], + [ + 84800200, + 51247971 + ], + [ + 78818961, + 40937048 + ], + [ + 86925312, + 83047942 + ], + [ + 20291493, + 14653690 + ], + [ + 75353934, + 47317596 + ], + [ + 24888251, + 24277708 + ], + [ + 11571933, + 78719741 + ], + [ + 15887793, + 1506444 + ], + [ + 24703538, + 10098983 + ], + [ + 62440902, + 3096471 + ], + [ + 786986, + 9377725 + ], + [ + 88778202, + 21615371 + ], + [ + 7340550, + 39509118 + ], + [ + 46295953, + 26970514 + ], + [ + 64555092, + 61112968 + ], + [ + 48857878, + 59656880 + ], + [ + 13962826, + 5141094 + ], + [ + 54634700, + 31189660 + ], + [ + 28274729, + 48789879 + ], + [ + 5092456, + 10171339 + ], + [ + 32047729, + 27097613 + ], + [ + 67996724, + 55334443 + ], + [ + 22119535, + 147005 + ], + [ + 89347689, + 39362871 + ], + [ + 29137778, + 53035433 + ], + [ + 44084315, + 71172028 + ], + [ + 39324756, + 98017125 + ], + [ + 87972932, + 31588096 + ], + [ + 61047244, + 28966511 + ], + [ + 56941421, + 9552259 + ], + [ + 59843704, + 75077299 + ], + [ + 38398023, + 10142085 + ], + [ + 89497630, + 95554269 + ], + [ + 11605781, + 76768762 + ], + [ + 61525595, + 84044958 + ], + [ + 59751186, + 65055351 + ], + [ + 45886224, + 81825070 + ], + [ + 18922532, + 56496300 + ], + [ + 7714495, + 65113453 + ], + [ + 42601566, + 38090727 + ], + [ + 74734073, + 54710396 + ], + [ + 48286454, + 59630336 + ], + [ + 7200694, + 74247003 + ], + [ + 51934933, + 4785146 + ], + [ + 24299267, + 42262641 + ], + [ + 18185693, + 26479142 + ], + [ + 56767319, + 6692185 + ], + [ + 78663609, + 47593196 + ], + [ + 21497724, + 84236150 + ], + [ + 99328165, + 69792152 + ], + [ + 52292406, + 32246710 + ], + [ + 18190283, + 3405804 + ], + [ + 19383205, + 46296475 + ], + [ + 55755262, + 1177128 + ], + [ + 26756622, + 92752536 + ], + [ + 35921588, + 25125279 + ], + [ + 45592879, + 12503406 + ], + [ + 40219025, + 34002394 + ], + [ + 77983893, + 50951535 + ], + [ + 76815983, + 17780935 + ], + [ + 69755485, + 88007958 + ], + [ + 83410860, + 82887163 + ], + [ + 53634940, + 78595458 + ], + [ + 98803800, + 38102168 + ], + [ + 98592594, + 69527442 + ], + [ + 59704528, + 94208441 + ], + [ + 35662502, + 31139595 + ], + [ + 76709798, + 58803429 + ], + [ + 46746040, + 60426272 + ], + [ + 36841840, + 87244922 + ], + [ + 40669084, + 5220673 + ], + [ + 71390866, + 20007510 + ], + [ + 36657649, + 6364863 + ], + [ + 97983709, + 92413347 + ], + [ + 99540745, + 30524754 + ], + [ + 38627869, + 96163996 + ], + [ + 42697625, + 76650803 + ], + [ + 53801646, + 77129560 + ], + [ + 44235990, + 82976516 + ], + [ + 3190380, + 62761923 + ], + [ + 29833429, + 49119404 + ], + [ + 36124624, + 31706728 + ], + [ + 70442501, + 58188075 + ], + [ + 51158317, + 30721330 + ], + [ + 71340717, + 2683726 + ], + [ + 40301303, + 7849049 + ], + [ + 88971748, + 585505 + ], + [ + 49704991, + 73955621 + ], + [ + 20319166, + 58659032 + ], + [ + 19771736, + 75931974 + ], + [ + 39703284, + 46030046 + ], + [ + 61186018, + 95393243 + ], + [ + 45522286, + 42025549 + ], + [ + 40365720, + 42137211 + ], + [ + 1016728, + 72831854 + ], + [ + 74043657, + 80318518 + ], + [ + 88755948, + 82566428 + ], + [ + 37506543, + 76707157 + ], + [ + 46335180, + 51210469 + ], + [ + 40578641, + 11095920 + ], + [ + 81988436, + 73462091 + ], + [ + 52858198, + 48036178 + ], + [ + 42253886, + 58613328 + ], + [ + 46039364, + 79596637 + ], + [ + 49981640, + 6925076 + ], + [ + 36710332, + 34607844 + ], + [ + 35495783, + 34245643 + ], + [ + 3853495, + 56433646 + ], + [ + 88922111, + 8365073 + ], + [ + 90403439, + 78223062 + ], + [ + 95150380, + 85090133 + ], + [ + 97893960, + 41057775 + ], + [ + 3061746, + 6422321 + ], + [ + 47647798, + 76076223 + ], + [ + 51905744, + 62491537 + ], + [ + 29194266, + 11118922 + ], + [ + 78620646, + 8862429 + ], + [ + 15100524, + 83822945 + ], + [ + 52142836, + 41692401 + ], + [ + 40725177, + 86693173 + ], + [ + 77771298, + 31935987 + ], + [ + 285270, + 73928143 + ], + [ + 81915624, + 31015990 + ], + [ + 28615062, + 52163589 + ], + [ + 83784753, + 69730037 + ], + [ + 28058622, + 45068530 + ], + [ + 12003859, + 25391816 + ], + [ + 12482591, + 21021248 + ], + [ + 77436643, + 2773835 + ], + [ + 57319602, + 16241415 + ], + [ + 40521684, + 39960659 + ], + [ + 85711989, + 14262075 + ], + [ + 18150886, + 86291340 + ], + [ + 59965225, + 15473146 + ], + [ + 7153950, + 77798686 + ], + [ + 71534561, + 90171917 + ], + [ + 47270172, + 23604287 + ], + [ + 74503854, + 10494593 + ], + [ + 82700690, + 31645841 + ], + [ + 88100103, + 8843816 + ], + [ + 26538732, + 16908673 + ], + [ + 87188080, + 66129503 + ], + [ + 43480666, + 45034582 + ], + [ + 61768962, + 61145474 + ], + [ + 21366226, + 36321849 + ], + [ + 49886417, + 33599506 + ], + [ + 44817756, + 55476088 + ], + [ + 45122148, + 10143238 + ], + [ + 31727009, + 8565679 + ], + [ + 17706467, + 71125924 + ], + [ + 96169795, + 90282458 + ], + [ + 27672844, + 64619878 + ], + [ + 53954605, + 56130346 + ], + [ + 70909811, + 64427703 + ], + [ + 8538209, + 43577409 + ], + [ + 52904663, + 59484630 + ], + [ + 67105856, + 23523672 + ], + [ + 75729794, + 13160160 + ], + [ + 25888887, + 89776027 + ], + [ + 29789477, + 63116410 + ], + [ + 38050160, + 76510529 + ], + [ + 31477872, + 77693920 + ], + [ + 93169856, + 97134548 + ], + [ + 38858628, + 36465077 + ], + [ + 36819578, + 80147961 + ], + [ + 553059, + 15980628 + ], + [ + 36858291, + 29583199 + ], + [ + 968841, + 40363926 + ], + [ + 12137066, + 72448706 + ], + [ + 45054932, + 90133844 + ], + [ + 22789756, + 7911152 + ], + [ + 12451856, + 10295059 + ], + [ + 25958471, + 93363282 + ], + [ + 81887909, + 70573501 + ], + [ + 70427341, + 22562526 + ], + [ + 48766693, + 44708343 + ], + [ + 99176219, + 91169522 + ], + [ + 13469583, + 7903249 + ], + [ + 58028971, + 77044286 + ], + [ + 38166952, + 90185492 + ], + [ + 67818891, + 30581266 + ], + [ + 43017469, + 3542351 + ], + [ + 16063764, + 13870355 + ], + [ + 57652236, + 86777004 + ], + [ + 61907163, + 50593666 + ], + [ + 30749703, + 86676881 + ], + [ + 46451652, + 9303950 + ], + [ + 57374982, + 69598461 + ], + [ + 18378434, + 9684363 + ], + [ + 56551875, + 28117119 + ], + [ + 14848934, + 3868550 + ], + [ + 89452800, + 90390362 + ], + [ + 74699390, + 653277 + ], + [ + 32628844, + 5119212 + ], + [ + 99665132, + 46003891 + ], + [ + 94057830, + 88482047 + ], + [ + 84975775, + 71921065 + ], + [ + 61783750, + 33392343 + ], + [ + 27385603, + 42445723 + ], + [ + 74095223, + 29604526 + ], + [ + 58739312, + 71537702 + ], + [ + 30603410, + 31841315 + ], + [ + 77607875, + 32500510 + ], + [ + 87649005, + 91790371 + ], + [ + 11608096, + 84508233 + ], + [ + 5809676, + 95503812 + ], + [ + 11657625, + 30754279 + ], + [ + 23916750, + 19659327 + ], + [ + 98393383, + 38116948 + ], + [ + 94056333, + 40221886 + ], + [ + 41868160, + 6016495 + ], + [ + 26988751, + 24415639 + ], + [ + 33640708, + 65907484 + ], + [ + 18469825, + 42961871 + ], + [ + 96185387, + 61413537 + ], + [ + 93084699, + 23268417 + ], + [ + 98163040, + 35799348 + ], + [ + 3737746, + 43930900 + ], + [ + 82654123, + 19065360 + ], + [ + 41714920, + 32093231 + ], + [ + 6348182, + 55308237 + ], + [ + 11806391, + 96800034 + ], + [ + 96926851, + 44542840 + ], + [ + 52939050, + 97502551 + ], + [ + 22330659, + 77138286 + ], + [ + 74671214, + 77455591 + ], + [ + 49355436, + 66146218 + ], + [ + 55290088, + 54869875 + ], + [ + 82295785, + 66518739 + ], + [ + 99323009, + 37004933 + ], + [ + 99626657, + 58233437 + ], + [ + 24623383, + 58014971 + ], + [ + 68660933, + 13682017 + ], + [ + 82970767, + 2876465 + ], + [ + 56905965, + 81638073 + ], + [ + 37558475, + 95903193 + ], + [ + 95512538, + 99883072 + ], + [ + 9354478, + 71535016 + ], + [ + 63205438, + 40276767 + ], + [ + 68482262, + 63498498 + ], + [ + 36594608, + 40476778 + ], + [ + 14102311, + 64405440 + ], + [ + 43629417, + 42402762 + ], + [ + 35634996, + 11039128 + ], + [ + 88645543, + 72098868 + ], + [ + 14528024, + 71442932 + ], + [ + 49349417, + 15830248 + ], + [ + 44737714, + 16588761 + ], + [ + 4169630, + 12508605 + ], + [ + 51757693, + 77880349 + ], + [ + 67171676, + 47033826 + ], + [ + 65479065, + 87872677 + ], + [ + 97162745, + 93041068 + ], + [ + 75192482, + 64874019 + ], + [ + 46192807, + 76057079 + ], + [ + 74218830, + 94012835 + ], + [ + 26299500, + 47660654 + ], + [ + 25855810, + 73239786 + ], + [ + 36099403, + 64987402 + ], + [ + 85375018, + 73073261 + ], + [ + 59551864, + 56512672 + ], + [ + 86798149, + 1995816 + ], + [ + 77868287, + 4802311 + ], + [ + 98506738, + 34289181 + ], + [ + 37549518, + 33100107 + ], + [ + 6464542, + 81454710 + ], + [ + 55587681, + 4578862 + ], + [ + 22466374, + 27020313 + ], + [ + 24854540, + 96984603 + ], + [ + 44354259, + 97528640 + ], + [ + 3794459, + 94012162 + ], + [ + 36849350, + 4679038 + ], + [ + 57459859, + 56402012 + ], + [ + 44557439, + 76637521 + ], + [ + 52059618, + 81861094 + ], + [ + 83032231, + 85159623 + ], + [ + 81001963, + 14130184 + ], + [ + 59128206, + 10959537 + ], + [ + 85795334, + 95007644 + ], + [ + 47968237, + 38814812 + ], + [ + 79739492, + 48787252 + ], + [ + 43378639, + 47619802 + ], + [ + 66990589, + 80209998 + ], + [ + 5509841, + 6878749 + ], + [ + 87622141, + 72174061 + ], + [ + 99721680, + 32313860 + ], + [ + 61912712, + 52720041 + ], + [ + 5336911, + 44442357 + ], + [ + 57577588, + 46922716 + ], + [ + 59779739, + 81507145 + ], + [ + 68178605, + 59053009 + ], + [ + 32480323, + 47903482 + ], + [ + 27360441, + 38369712 + ], + [ + 28540469, + 43005846 + ], + [ + 58587551, + 35293014 + ], + [ + 33122086, + 56656186 + ], + [ + 51656312, + 44857593 + ], + [ + 35317238, + 36993915 + ], + [ + 69190226, + 41005412 + ], + [ + 63228327, + 51237312 + ], + [ + 2467080, + 49671236 + ], + [ + 54290579, + 67154860 + ], + [ + 52038049, + 36763840 + ], + [ + 34206260, + 53441710 + ], + [ + 60825332, + 68588349 + ], + [ + 99520053, + 13908039 + ], + [ + 37834239, + 9171764 + ], + [ + 85277410, + 64538410 + ], + [ + 45658009, + 83218173 + ], + [ + 14881191, + 96414522 + ], + [ + 67203293, + 94032645 + ], + [ + 24278528, + 3031388 + ], + [ + 93845036, + 95844689 + ], + [ + 19826417, + 50389321 + ], + [ + 52454415, + 80993059 + ], + [ + 52783357, + 70373057 + ], + [ + 12015996, + 15243324 + ], + [ + 1099677, + 66160178 + ], + [ + 33232505, + 33152951 + ], + [ + 1580698, + 20205673 + ], + [ + 14019417, + 68748027 + ], + [ + 77587023, + 61096022 + ], + [ + 50774372, + 44647903 + ], + [ + 3142634, + 63450728 + ], + [ + 38253641, + 30274633 + ], + [ + 73608047, + 97732148 + ], + [ + 51342754, + 60358792 + ], + [ + 75343347, + 98442053 + ], + [ + 64434659, + 50646161 + ], + [ + 25038261, + 94599024 + ], + [ + 15453830, + 87307334 + ], + [ + 40304744, + 80545805 + ], + [ + 22844998, + 98553609 + ], + [ + 42158055, + 41403651 + ], + [ + 60913200, + 34399150 + ], + [ + 48998944, + 91984623 + ], + [ + 67399474, + 59578523 + ], + [ + 65827479, + 31411632 + ], + [ + 5476959, + 85023559 + ], + [ + 13971513, + 95535677 + ], + [ + 66856836, + 47818780 + ], + [ + 4480873, + 67213416 + ], + [ + 52591447, + 27668972 + ], + [ + 46585120, + 7092232 + ], + [ + 89420201, + 67103665 + ], + [ + 26486990, + 15665699 + ], + [ + 38260981, + 64444070 + ], + [ + 66880935, + 34748853 + ], + [ + 85817751, + 9072482 + ], + [ + 55737906, + 28520305 + ], + [ + 57409938, + 23510425 + ], + [ + 15685212, + 71671960 + ], + [ + 70032121, + 30186424 + ], + [ + 87243460, + 51123810 + ], + [ + 40259380, + 3196275 + ], + [ + 78380006, + 51576239 + ], + [ + 8361890, + 93537970 + ], + [ + 16981490, + 47819513 + ], + [ + 95819239, + 14287940 + ], + [ + 17403145, + 26225141 + ], + [ + 45208371, + 62895776 + ], + [ + 13588759, + 20739644 + ], + [ + 71581719, + 46930507 + ], + [ + 79181357, + 15811219 + ], + [ + 41376760, + 43634999 + ], + [ + 28801518, + 18992357 + ], + [ + 72640322, + 87590629 + ], + [ + 25224237, + 44302976 + ], + [ + 1648518, + 96238308 + ], + [ + 58165809, + 73013597 + ], + [ + 9871063, + 71647689 + ], + [ + 42426973, + 48474224 + ], + [ + 43614886, + 58300213 + ], + [ + 93096084, + 9945937 + ], + [ + 35343088, + 45145596 + ], + [ + 59249831, + 86386563 + ], + [ + 20892852, + 9519246 + ], + [ + 31807106, + 8054527 + ], + [ + 78715609, + 88585597 + ], + [ + 81299545, + 58791081 + ], + [ + 8243627, + 61818674 + ], + [ + 90021377, + 53847855 + ], + [ + 50980196, + 55802261 + ], + [ + 89810298, + 17219381 + ], + [ + 45832487, + 25184075 + ], + [ + 45189312, + 5697563 + ], + [ + 93815365, + 15967947 + ], + [ + 47458379, + 99532558 + ], + [ + 99105172, + 64968411 + ], + [ + 29607947, + 38221671 + ], + [ + 36660769, + 71308963 + ], + [ + 95736474, + 63603763 + ], + [ + 45523593, + 77647294 + ], + [ + 29181670, + 82678267 + ], + [ + 16702235, + 55729571 + ], + [ + 85615642, + 13869234 + ], + [ + 54657969, + 11960079 + ], + [ + 78608618, + 17162104 + ], + [ + 75098767, + 32908668 + ], + [ + 26830781, + 14769820 + ], + [ + 81014839, + 77188770 + ], + [ + 62256868, + 86364012 + ], + [ + 14203274, + 50161570 + ], + [ + 1825961, + 59978140 + ], + [ + 75185302, + 36962632 + ], + [ + 97508888, + 41314878 + ], + [ + 69595396, + 26106483 + ], + [ + 18663895, + 2182378 + ], + [ + 36571137, + 46155298 + ], + [ + 3016629, + 34990060 + ], + [ + 18241633, + 95953593 + ], + [ + 58854400, + 85871922 + ], + [ + 27319656, + 50104904 + ], + [ + 73277149, + 1444506 + ], + [ + 22381636, + 85946368 + ], + [ + 76436466, + 4760634 + ], + [ + 65635296, + 10893839 + ], + [ + 5974095, + 25480350 + ], + [ + 50568879, + 72450027 + ], + [ + 97023403, + 7707193 + ], + [ + 56574879, + 42670859 + ], + [ + 60494740, + 48243309 + ], + [ + 33624703, + 73594587 + ], + [ + 31185487, + 92999793 + ], + [ + 1582718, + 63845280 + ], + [ + 84155440, + 55117417 + ], + [ + 76572210, + 92011627 + ], + [ + 11523801, + 30192475 + ], + [ + 45248960, + 11525777 + ], + [ + 55500572, + 10555435 + ], + [ + 44592053, + 7229122 + ], + [ + 20535241, + 46824291 + ], + [ + 25392939, + 34006666 + ], + [ + 48853218, + 95195803 + ], + [ + 20691609, + 65571768 + ], + [ + 89845322, + 2431995 + ], + [ + 99054571, + 90536807 + ], + [ + 80241015, + 78711294 + ], + [ + 68234384, + 40253598 + ], + [ + 9723936, + 11231716 + ], + [ + 34650326, + 65587140 + ], + [ + 55920595, + 25174747 + ], + [ + 31237367, + 47884107 + ], + [ + 31859841, + 89694766 + ], + [ + 52278770, + 66394946 + ], + [ + 29213660, + 29167357 + ], + [ + 43933041, + 25204532 + ], + [ + 69824495, + 39603028 + ], + [ + 85536563, + 72160079 + ], + [ + 22594429, + 72405499 + ], + [ + 51043817, + 84859929 + ], + [ + 5294095, + 29279407 + ], + [ + 38315885, + 89491722 + ], + [ + 25785560, + 60803240 + ], + [ + 40775559, + 14449655 + ], + [ + 29760517, + 59231032 + ], + [ + 29594903, + 51645446 + ], + [ + 90835618, + 20708188 + ], + [ + 53800640, + 9175547 + ], + [ + 8551915, + 25752831 + ], + [ + 52416509, + 71702204 + ], + [ + 69507875, + 2955927 + ], + [ + 43220709, + 1250778 + ], + [ + 41974140, + 54269597 + ], + [ + 95343008, + 31018345 + ], + [ + 64701945, + 7916405 + ], + [ + 20697401, + 39527792 + ], + [ + 7446767, + 86075062 + ], + [ + 55593615, + 33628181 + ], + [ + 46696824, + 81031789 + ], + [ + 6380928, + 63376480 + ], + [ + 8725407, + 87385085 + ], + [ + 54209730, + 34873296 + ], + [ + 6858879, + 88134098 + ], + [ + 71709892, + 74568847 + ], + [ + 98866535, + 35250912 + ], + [ + 78942281, + 84771534 + ], + [ + 56377637, + 63120770 + ], + [ + 49326845, + 46148409 + ], + [ + 47082758, + 1474406 + ], + [ + 52470520, + 36960061 + ], + [ + 91201711, + 46736286 + ], + [ + 51426317, + 84971392 + ], + [ + 81821107, + 99584568 + ], + [ + 117856, + 64810137 + ], + [ + 4320832, + 26340932 + ], + [ + 96921761, + 44559168 + ], + [ + 95075824, + 13705205 + ], + [ + 22878978, + 79107044 + ], + [ + 80579156, + 27475796 + ], + [ + 59892796, + 19781289 + ], + [ + 51375610, + 43220057 + ], + [ + 99472042, + 17330583 + ], + [ + 95829788, + 59580805 + ], + [ + 85866128, + 85853070 + ], + [ + 29162584, + 87072049 + ], + [ + 75138551, + 15050613 + ], + [ + 4975455, + 50487198 + ], + [ + 59987956, + 4039643 + ], + [ + 41714481, + 73604452 + ], + [ + 69648384, + 51053257 + ], + [ + 42014757, + 26142995 + ], + [ + 65045845, + 22973353 + ], + [ + 19357456, + 27646669 + ], + [ + 72856007, + 31179066 + ], + [ + 73275052, + 29551124 + ], + [ + 96871611, + 2496306 + ], + [ + 55748070, + 51449323 + ], + [ + 17576806, + 26108067 + ], + [ + 22278271, + 25922869 + ], + [ + 66843741, + 63099249 + ], + [ + 85952041, + 90642177 + ], + [ + 4583826, + 32735759 + ], + [ + 74430175, + 65266833 + ], + [ + 15932121, + 8224111 + ], + [ + 8912668, + 46781961 + ], + [ + 82622232, + 35330621 + ], + [ + 95989523, + 8647302 + ], + [ + 61165787, + 73178342 + ], + [ + 64503639, + 77769399 + ], + [ + 44301717, + 72933657 + ], + [ + 86277608, + 37932643 + ], + [ + 89365094, + 86012646 + ], + [ + 8062899, + 71759001 + ], + [ + 82549419, + 10029905 + ], + [ + 40650872, + 81076184 + ], + [ + 41949809, + 53262846 + ], + [ + 20531366, + 93868529 + ], + [ + 85330049, + 68552006 + ], + [ + 38750221, + 23034803 + ], + [ + 26001303, + 53040357 + ], + [ + 91253284, + 19038382 + ], + [ + 86356619, + 11278269 + ], + [ + 36680973, + 98965615 + ], + [ + 43852519, + 1714741 + ], + [ + 31998965, + 95233583 + ], + [ + 66449504, + 12542564 + ], + [ + 49028301, + 801154 + ], + [ + 16217070, + 98631532 + ], + [ + 19075277, + 95104941 + ], + [ + 58331352, + 18645668 + ], + [ + 75012229, + 7505132 + ], + [ + 50906197, + 88458072 + ], + [ + 43669394, + 65702641 + ], + [ + 30118800, + 75280787 + ], + [ + 57712298, + 8695021 + ], + [ + 25029673, + 71269682 + ], + [ + 87499997, + 153861 + ], + [ + 62217984, + 35230221 + ], + [ + 90611463, + 46392313 + ], + [ + 66126676, + 35474274 + ], + [ + 56423961, + 13335616 + ], + [ + 13025621, + 33370476 + ], + [ + 59384278, + 87101628 + ], + [ + 40379400, + 76229650 + ], + [ + 15171743, + 62349823 + ], + [ + 74452222, + 32086740 + ], + [ + 88296066, + 3206025 + ], + [ + 41615148, + 48176376 + ], + [ + 80037498, + 36000170 + ], + [ + 30197196, + 70171757 + ], + [ + 22708535, + 25250100 + ], + [ + 23765731, + 73888001 + ], + [ + 14519197, + 75691545 + ], + [ + 74964696, + 72809999 + ], + [ + 5400601, + 88057612 + ], + [ + 91326451, + 60554897 + ], + [ + 22772643, + 44235171 + ], + [ + 94570748, + 92433771 + ], + [ + 48130665, + 41687439 + ], + [ + 91793771, + 64215635 + ], + [ + 39605334, + 48015014 + ], + [ + 49581013, + 6851529 + ], + [ + 94652802, + 98095023 + ], + [ + 92146571, + 37807476 + ], + [ + 84709858, + 42899573 + ], + [ + 88671688, + 21353953 + ], + [ + 24364682, + 87436296 + ], + [ + 40389044, + 43701062 + ], + [ + 66492868, + 39982754 + ], + [ + 80402207, + 63734495 + ], + [ + 23689986, + 31852014 + ], + [ + 22468315, + 98911098 + ], + [ + 72273384, + 72029661 + ], + [ + 64186510, + 74632637 + ], + [ + 71034360, + 41885893 + ], + [ + 29550035, + 44802892 + ], + [ + 71379146, + 50339819 + ], + [ + 92419160, + 79468749 + ], + [ + 79640816, + 61176226 + ], + [ + 69218685, + 12711005 + ], + [ + 87918873, + 43756767 + ], + [ + 25163074, + 14217511 + ], + [ + 58010754, + 98476535 + ], + [ + 34474556, + 1258018 + ], + [ + 25318611, + 26480753 + ], + [ + 82178895, + 55821652 + ], + [ + 51213568, + 59513781 + ], + [ + 71208520, + 53433362 + ], + [ + 65035918, + 96154681 + ], + [ + 48712998, + 31823870 + ], + [ + 13565118, + 81461791 + ], + [ + 19454568, + 26320652 + ], + [ + 19260681, + 82555169 + ], + [ + 19730594, + 72996976 + ], + [ + 7329407, + 58493979 + ], + [ + 45591080, + 59050669 + ], + [ + 22258370, + 86055228 + ], + [ + 91010773, + 17032009 + ], + [ + 76120982, + 5107046 + ], + [ + 36312460, + 86777792 + ], + [ + 25113751, + 83019589 + ], + [ + 92452273, + 27610328 + ], + [ + 18705812, + 51850963 + ], + [ + 2559525, + 70627713 + ], + [ + 67781261, + 80082476 + ], + [ + 90066446, + 8381258 + ], + [ + 50509194, + 78318756 + ], + [ + 17327225, + 6989487 + ], + [ + 2475914, + 84910418 + ], + [ + 22148027, + 425687 + ], + [ + 81189234, + 78004318 + ], + [ + 21878339, + 5506279 + ], + [ + 28608163, + 89835771 + ], + [ + 48032675, + 73291098 + ], + [ + 13679555, + 26933523 + ], + [ + 33562934, + 30923211 + ], + [ + 37129434, + 31932633 + ], + [ + 9357938, + 5569036 + ], + [ + 39789840, + 47863461 + ], + [ + 90193816, + 73554215 + ], + [ + 81921186, + 7747587 + ], + [ + 7329380, + 78690900 + ], + [ + 61595347, + 6958964 + ], + [ + 5560612, + 54587032 + ], + [ + 81995146, + 41014609 + ], + [ + 41238250, + 26478130 + ], + [ + 81199371, + 89458950 + ], + [ + 22717285, + 95935261 + ], + [ + 45418493, + 94729252 + ], + [ + 96452793, + 23058903 + ], + [ + 68914651, + 30137079 + ], + [ + 9645237, + 4542752 + ], + [ + 89807805, + 84088368 + ], + [ + 36359764, + 60546759 + ], + [ + 60733416, + 3936088 + ], + [ + 83100544, + 20976049 + ], + [ + 84749455, + 98327262 + ], + [ + 57990417, + 68050640 + ], + [ + 85253701, + 95323117 + ], + [ + 39616656, + 96244482 + ], + [ + 96298126, + 55910041 + ], + [ + 97472738, + 64881623 + ], + [ + 25428525, + 19881233 + ], + [ + 60766887, + 74310690 + ], + [ + 34230960, + 14192528 + ], + [ + 90922767, + 15641721 + ], + [ + 44219045, + 12287979 + ], + [ + 90518266, + 8350109 + ], + [ + 82004265, + 24887619 + ], + [ + 79845096, + 18985217 + ], + [ + 81143721, + 5401261 + ], + [ + 44441203, + 35654463 + ], + [ + 85084200, + 64401346 + ], + [ + 86072337, + 77883507 + ], + [ + 26456230, + 80660359 + ], + [ + 97257611, + 31917457 + ], + [ + 11905618, + 36780985 + ], + [ + 87443216, + 80206740 + ], + [ + 30050716, + 54598297 + ], + [ + 47195711, + 36194461 + ], + [ + 31310937, + 54600577 + ], + [ + 17443601, + 31453853 + ], + [ + 12931751, + 11543251 + ], + [ + 83990921, + 79899142 + ], + [ + 42228046, + 31058198 + ], + [ + 8881060, + 9016860 + ], + [ + 3992618, + 13213149 + ], + [ + 5129293, + 91489166 + ], + [ + 51184617, + 61286475 + ], + [ + 56013548, + 64639625 + ], + [ + 2024617, + 22616266 + ], + [ + 37884716, + 75245289 + ], + [ + 79375891, + 8782684 + ], + [ + 48303704, + 30163151 + ], + [ + 90382865, + 48657377 + ], + [ + 69198898, + 26417431 + ], + [ + 68901484, + 54834535 + ], + [ + 92845411, + 59756715 + ], + [ + 75773350, + 43898218 + ], + [ + 61598385, + 17188725 + ], + [ + 1263205, + 55809703 + ], + [ + 85631238, + 88057335 + ], + [ + 77188905, + 35313014 + ], + [ + 56608297, + 18447498 + ], + [ + 80775906, + 82013762 + ], + [ + 58134016, + 88543597 + ], + [ + 57200805, + 52858306 + ], + [ + 67165235, + 97957731 + ], + [ + 27114168, + 13393201 + ], + [ + 38352891, + 63282600 + ], + [ + 39467489, + 35194851 + ], + [ + 48987897, + 12723532 + ], + [ + 16308442, + 75668518 + ], + [ + 4132490, + 90573273 + ], + [ + 3167669, + 76453284 + ], + [ + 69826859, + 72924827 + ], + [ + 63405491, + 55858538 + ], + [ + 64405362, + 82407305 + ], + [ + 95619343, + 46228203 + ], + [ + 95948351, + 2361572 + ], + [ + 72050779, + 73059547 + ], + [ + 7011231, + 54976393 + ], + [ + 87840131, + 73800424 + ], + [ + 28268285, + 38523837 + ], + [ + 76402163, + 99049202 + ], + [ + 99071063, + 46747459 + ], + [ + 93465060, + 36915671 + ], + [ + 95402056, + 39411295 + ], + [ + 21000716, + 39262106 + ], + [ + 72471256, + 20998849 + ], + [ + 39344971, + 6945448 + ], + [ + 49271708, + 82278036 + ], + [ + 83383067, + 76342719 + ], + [ + 11840692, + 3049726 + ], + [ + 63425030, + 17284671 + ], + [ + 43880957, + 23973517 + ], + [ + 42783680, + 20668253 + ], + [ + 65672772, + 65567178 + ], + [ + 29132426, + 24510677 + ], + [ + 84407664, + 66059814 + ], + [ + 31368263, + 79192856 + ], + [ + 93483830, + 89948525 + ], + [ + 22550017, + 88505867 + ], + [ + 34761166, + 62530854 + ], + [ + 4392040, + 96228637 + ], + [ + 48616940, + 78220296 + ], + [ + 94100896, + 54606061 + ], + [ + 53524942, + 26159711 + ], + [ + 41397398, + 86455438 + ], + [ + 93418709, + 29686375 + ], + [ + 70586301, + 56250975 + ], + [ + 55427759, + 2344776 + ], + [ + 76040164, + 97332161 + ], + [ + 53987430, + 48188859 + ], + [ + 41183078, + 52445706 + ], + [ + 58347734, + 47213116 + ], + [ + 81067487, + 20036150 + ], + [ + 4819234, + 38031098 + ], + [ + 58676270, + 76497126 + ], + [ + 36595938, + 96688803 + ], + [ + 64645676, + 39715242 + ], + [ + 5653868, + 14815140 + ], + [ + 71684212, + 8989265 + ], + [ + 24841499, + 21404960 + ], + [ + 14846289, + 63187012 + ], + [ + 80632262, + 60517179 + ], + [ + 16193941, + 91896891 + ], + [ + 61586266, + 57173735 + ], + [ + 59744282, + 63156318 + ], + [ + 25106761, + 81523828 + ], + [ + 99009564, + 48377227 + ], + [ + 66621311, + 44915435 + ], + [ + 22495731, + 10655016 + ], + [ + 77063841, + 27954212 + ], + [ + 33550475, + 64998388 + ], + [ + 53042895, + 1569615 + ], + [ + 83133874, + 70888884 + ], + [ + 76224193, + 39830653 + ], + [ + 4776097, + 71589016 + ], + [ + 49025957, + 6010845 + ], + [ + 85558357, + 10998771 + ], + [ + 45225796, + 66153541 + ], + [ + 46329407, + 69108806 + ], + [ + 35444430, + 21633627 + ], + [ + 37451216, + 57014361 + ], + [ + 89956514, + 66296621 + ], + [ + 78395311, + 14630280 + ], + [ + 23650821, + 41525542 + ], + [ + 21817666, + 51701578 + ], + [ + 74228494, + 61406187 + ], + [ + 42889594, + 84858904 + ], + [ + 80393367, + 60901928 + ], + [ + 52406470, + 23624302 + ], + [ + 29860809, + 85489446 + ], + [ + 81926657, + 90108773 + ], + [ + 51489904, + 31568626 + ], + [ + 6144904, + 79148913 + ], + [ + 68419859, + 52346570 + ], + [ + 9579685, + 8279591 + ], + [ + 28081253, + 64758954 + ], + [ + 34617168, + 24522619 + ], + [ + 82862537, + 1556993 + ], + [ + 70459160, + 47940778 + ], + [ + 86310898, + 47637062 + ], + [ + 97708215, + 8124423 + ], + [ + 91791693, + 66798350 + ], + [ + 51856063, + 61820475 + ], + [ + 13862849, + 23558062 + ], + [ + 91136936, + 72516768 + ], + [ + 57393939, + 40915157 + ], + [ + 80503813, + 64610335 + ], + [ + 75490280, + 71175707 + ], + [ + 82401627, + 92415011 + ], + [ + 45368711, + 29973777 + ], + [ + 91029101, + 70231561 + ], + [ + 29261044, + 93089888 + ], + [ + 43505363, + 42367543 + ], + [ + 19629390, + 89480447 + ], + [ + 93802080, + 96202354 + ], + [ + 69737744, + 34523864 + ], + [ + 30633275, + 82614009 + ], + [ + 56448723, + 90925899 + ], + [ + 67256634, + 45154447 + ], + [ + 17660269, + 17132547 + ], + [ + 84365595, + 99548987 + ], + [ + 7647867, + 80898335 + ], + [ + 72810451, + 88224851 + ], + [ + 1870629, + 41105335 + ], + [ + 385577, + 65600168 + ], + [ + 98888337, + 91694324 + ], + [ + 53648248, + 56440194 + ], + [ + 38298133, + 16662390 + ], + [ + 58682365, + 87039895 + ], + [ + 66258824, + 32712881 + ], + [ + 46652223, + 34416108 + ], + [ + 35077701, + 49333337 + ], + [ + 20948509, + 79711175 + ], + [ + 84881382, + 2363929 + ], + [ + 17758179, + 21094768 + ], + [ + 38179254, + 90647879 + ], + [ + 38169503, + 68129287 + ], + [ + 88470251, + 76885466 + ], + [ + 87829791, + 28359555 + ], + [ + 46048184, + 98455918 + ], + [ + 98425222, + 46471175 + ], + [ + 62010147, + 62790477 + ], + [ + 49745800, + 53811572 + ], + [ + 1814557, + 4187478 + ], + [ + 12287750, + 48374346 + ], + [ + 63707327, + 61713269 + ], + [ + 80284100, + 69757231 + ], + [ + 63594973, + 3000719 + ], + [ + 67586581, + 43581884 + ], + [ + 81512459, + 54126881 + ], + [ + 14405910, + 66494058 + ], + [ + 9222166, + 52227553 + ], + [ + 36327999, + 24923608 + ], + [ + 35951185, + 91802073 + ], + [ + 58540246, + 97171656 + ], + [ + 42222408, + 15530652 + ], + [ + 55745494, + 33424654 + ], + [ + 42073056, + 578954 + ], + [ + 12404168, + 6063431 + ], + [ + 47003178, + 17161850 + ], + [ + 45548122, + 13504218 + ], + [ + 70058762, + 56929951 + ], + [ + 40469750, + 27515959 + ], + [ + 45041985, + 54075045 + ], + [ + 38800369, + 10279479 + ], + [ + 50389118, + 64986174 + ], + [ + 44541479, + 95461864 + ], + [ + 33600264, + 24389577 + ], + [ + 77981353, + 381423 + ], + [ + 53601152, + 72122227 + ], + [ + 95557257, + 71799328 + ], + [ + 74516494, + 95919302 + ], + [ + 44798086, + 5640636 + ], + [ + 12739310, + 10061955 + ], + [ + 38740433, + 47605552 + ], + [ + 3773221, + 90703168 + ], + [ + 86053178, + 10798055 + ], + [ + 16109028, + 25630205 + ], + [ + 8865156, + 35149681 + ], + [ + 54591023, + 84421983 + ], + [ + 88355778, + 43004479 + ], + [ + 80398509, + 86852446 + ], + [ + 88537252, + 4146868 + ], + [ + 5754852, + 28901725 + ], + [ + 4550238, + 75225141 + ], + [ + 54140592, + 6739144 + ], + [ + 28426650, + 68720038 + ], + [ + 58556348, + 66397681 + ], + [ + 17189528, + 15322853 + ], + [ + 44533370, + 16611331 + ], + [ + 62540363, + 38442713 + ], + [ + 72239509, + 36799766 + ], + [ + 66238875, + 54113373 + ], + [ + 98894124, + 32804121 + ], + [ + 34824284, + 73506273 + ], + [ + 36871759, + 60263472 + ], + [ + 7024086, + 37595101 + ], + [ + 94159882, + 48910829 + ], + [ + 21924397, + 9864366 + ], + [ + 42081331, + 82593250 + ], + [ + 35062975, + 27962519 + ], + [ + 13515249, + 77171459 + ], + [ + 37264492, + 32354951 + ], + [ + 19898985, + 88376791 + ], + [ + 13584902, + 74131879 + ], + [ + 99096149, + 45072317 + ], + [ + 93314348, + 85782751 + ], + [ + 93386370, + 38622272 + ], + [ + 89279076, + 53259319 + ], + [ + 66563497, + 60300820 + ], + [ + 10444054, + 54679785 + ], + [ + 53013869, + 44888845 + ], + [ + 31849229, + 11777369 + ], + [ + 7497358, + 54329161 + ], + [ + 95792498, + 32174306 + ], + [ + 32881725, + 2133931 + ], + [ + 41221380, + 12357834 + ], + [ + 2654229, + 75694084 + ], + [ + 64728799, + 80812937 + ], + [ + 50693236, + 15356575 + ], + [ + 96796213, + 61887499 + ], + [ + 24379493, + 14290652 + ], + [ + 96790579, + 8295857 + ], + [ + 74080141, + 83508562 + ], + [ + 84156734, + 35048153 + ], + [ + 27858087, + 66521587 + ], + [ + 28127446, + 77621260 + ], + [ + 10322731, + 82008834 + ], + [ + 49822948, + 45519774 + ], + [ + 74112394, + 31900790 + ], + [ + 21542717, + 12347045 + ], + [ + 81668616, + 83317644 + ], + [ + 22120187, + 69356419 + ], + [ + 92901207, + 63371634 + ], + [ + 17132308, + 66033749 + ], + [ + 15748071, + 36910249 + ], + [ + 27070835, + 78100696 + ], + [ + 53427656, + 51470179 + ], + [ + 91041861, + 40460791 + ], + [ + 12985135, + 53739897 + ], + [ + 12925848, + 80464461 + ], + [ + 5246754, + 72380041 + ], + [ + 980256, + 20246484 + ], + [ + 10256189, + 46223319 + ], + [ + 54006726, + 44267469 + ], + [ + 56743285, + 84782742 + ], + [ + 49595748, + 40562951 + ], + [ + 83979190, + 35388809 + ], + [ + 49790695, + 74834875 + ], + [ + 99039711, + 30645018 + ], + [ + 56341582, + 52351666 + ], + [ + 18197662, + 18707731 + ], + [ + 67806864, + 48164315 + ], + [ + 67418995, + 91659010 + ], + [ + 8251375, + 74057350 + ], + [ + 32826021, + 77816805 + ], + [ + 14083915, + 99271197 + ], + [ + 16184535, + 71344148 + ], + [ + 90883308, + 30662041 + ], + [ + 66640361, + 26377949 + ], + [ + 65148020, + 44147324 + ], + [ + 42332813, + 76708653 + ], + [ + 55250235, + 79497947 + ], + [ + 45773465, + 59084297 + ], + [ + 18934455, + 52385943 + ], + [ + 33314042, + 89718676 + ], + [ + 78190221, + 65434660 + ], + [ + 96500264, + 12466260 + ], + [ + 58726905, + 78614819 + ], + [ + 48851442, + 26086827 + ], + [ + 92833010, + 93989226 + ], + [ + 2523155, + 47011596 + ], + [ + 90519624, + 12781047 + ], + [ + 55322737, + 56027060 + ], + [ + 95308987, + 38896075 + ], + [ + 54761359, + 5327602 + ], + [ + 36045279, + 10000404 + ], + [ + 94818039, + 82832764 + ], + [ + 77060595, + 81764315 + ], + [ + 91979505, + 55885393 + ], + [ + 41465057, + 53386310 + ], + [ + 36013324, + 92400739 + ], + [ + 79078813, + 90017293 + ], + [ + 19692591, + 66135376 + ], + [ + 9107378, + 60523294 + ], + [ + 55256542, + 42950985 + ], + [ + 1961260, + 80640821 + ], + [ + 45535445, + 25638430 + ], + [ + 45919714, + 13842618 + ], + [ + 68673476, + 98560633 + ], + [ + 6112734, + 73789328 + ], + [ + 98321461, + 92529178 + ], + [ + 44645113, + 33255374 + ], + [ + 66214348, + 95925473 + ], + [ + 54560432, + 8026548 + ], + [ + 87505436, + 73031367 + ], + [ + 47435757, + 26784358 + ], + [ + 18525533, + 56784592 + ], + [ + 56607033, + 10744566 + ], + [ + 78747531, + 2479132 + ], + [ + 48226526, + 18754539 + ], + [ + 37044295, + 79244078 + ], + [ + 62786118, + 86678782 + ], + [ + 21857273, + 66918348 + ], + [ + 90912186, + 91283710 + ], + [ + 36270488, + 72708604 + ], + [ + 59184191, + 79413866 + ], + [ + 11091733, + 45079371 + ], + [ + 73788521, + 76695426 + ], + [ + 92187975, + 48235333 + ], + [ + 86669108, + 51053088 + ], + [ + 60133067, + 33684997 + ], + [ + 52039396, + 35289957 + ], + [ + 65257886, + 27588876 + ], + [ + 13980179, + 29346718 + ], + [ + 95194534, + 571043 + ], + [ + 67933298, + 55400725 + ], + [ + 97550497, + 40199108 + ], + [ + 1952093, + 67511300 + ], + [ + 82178634, + 74403687 + ], + [ + 92369863, + 97949115 + ], + [ + 11369459, + 87302392 + ], + [ + 55707207, + 21264270 + ], + [ + 99578621, + 92735431 + ], + [ + 10939017, + 1194667 + ], + [ + 70847294, + 12886915 + ], + [ + 2916622, + 7407433 + ], + [ + 54701660, + 16868205 + ], + [ + 35645404, + 38398730 + ], + [ + 6649390, + 96487445 + ], + [ + 69833418, + 30905834 + ], + [ + 85613620, + 58912074 + ], + [ + 60567280, + 2598140 + ], + [ + 13897518, + 80966263 + ], + [ + 44921272, + 13502953 + ], + [ + 80680008, + 48374241 + ], + [ + 94531843, + 74310898 + ], + [ + 25720535, + 77816514 + ], + [ + 65073847, + 66645483 + ], + [ + 15157172, + 33924211 + ], + [ + 28176388, + 52194407 + ], + [ + 97039014, + 33702877 + ], + [ + 43087154, + 28439018 + ], + [ + 19484627, + 82602252 + ], + [ + 89936823, + 31962389 + ], + [ + 46345578, + 81480489 + ], + [ + 42503952, + 23549195 + ], + [ + 23881952, + 98077428 + ], + [ + 23071982, + 94329733 + ], + [ + 64036368, + 38626246 + ], + [ + 72150382, + 40128873 + ], + [ + 82714088, + 60681733 + ], + [ + 41134011, + 83843803 + ], + [ + 35879953, + 24470291 + ], + [ + 73424623, + 11223348 + ], + [ + 26643863, + 18302805 + ], + [ + 28810348, + 16087741 + ], + [ + 9693222, + 92469544 + ], + [ + 99584133, + 96692383 + ], + [ + 15319972, + 58706573 + ], + [ + 44853454, + 56623039 + ], + [ + 76625307, + 56357539 + ], + [ + 75479996, + 86147070 + ], + [ + 33685449, + 66419839 + ], + [ + 62139977, + 20718368 + ], + [ + 15069512, + 12437184 + ], + [ + 45624336, + 55636941 + ], + [ + 21825771, + 85536256 + ], + [ + 61735457, + 5320847 + ], + [ + 59801946, + 13323380 + ], + [ + 55321709, + 79589987 + ], + [ + 65505494, + 89688445 + ], + [ + 96686242, + 72983377 + ], + [ + 30562312, + 62409728 + ], + [ + 77529852, + 25862146 + ], + [ + 63401431, + 40012069 + ], + [ + 96497116, + 65102678 + ], + [ + 23229247, + 45466190 + ], + [ + 32026412, + 82420843 + ], + [ + 47272724, + 42969413 + ], + [ + 37918302, + 36736846 + ], + [ + 91629429, + 42981368 + ], + [ + 81807360, + 62012902 + ], + [ + 30930663, + 16218426 + ], + [ + 88100670, + 53098853 + ], + [ + 12079793, + 2712433 + ], + [ + 37182801, + 4929399 + ], + [ + 31293691, + 27309839 + ], + [ + 88404430, + 94135392 + ], + [ + 80282756, + 86997984 + ], + [ + 96387935, + 60728476 + ], + [ + 15345814, + 99580270 + ], + [ + 95248254, + 30798219 + ], + [ + 83984595, + 19637484 + ], + [ + 42612315, + 43090776 + ], + [ + 91746051, + 5408442 + ], + [ + 55967359, + 67957062 + ], + [ + 73524753, + 54284427 + ], + [ + 21431914, + 50122534 + ], + [ + 87953711, + 16607614 + ], + [ + 37217008, + 2081834 + ], + [ + 81047288, + 24555187 + ], + [ + 58436214, + 13211750 + ], + [ + 74562193, + 64248339 + ], + [ + 38914917, + 6511792 + ], + [ + 98389292, + 62840793 + ], + [ + 46730507, + 86955491 + ], + [ + 28994391, + 64842294 + ], + [ + 89554220, + 78365393 + ], + [ + 39204490, + 2519294 + ], + [ + 66445439, + 16489613 + ], + [ + 67893202, + 60075316 + ], + [ + 95406903, + 15928545 + ], + [ + 30910901, + 80802866 + ], + [ + 75099525, + 50687150 + ], + [ + 34278810, + 65008933 + ], + [ + 99403859, + 29710347 + ], + [ + 54959212, + 66764918 + ], + [ + 57265366, + 82328286 + ], + [ + 88535153, + 13102891 + ], + [ + 36752969, + 85243842 + ], + [ + 23251615, + 88110744 + ], + [ + 97810065, + 26661467 + ], + [ + 98850087, + 37703748 + ], + [ + 86371843, + 75901063 + ], + [ + 94950752, + 84483808 + ], + [ + 75205056, + 67064956 + ], + [ + 36745750, + 15346705 + ], + [ + 52731457, + 19047542 + ], + [ + 51906199, + 95153117 + ], + [ + 72927376, + 52882720 + ], + [ + 60540237, + 13325604 + ], + [ + 546619, + 78790460 + ], + [ + 23032038, + 29604532 + ], + [ + 38180460, + 15152863 + ], + [ + 39386820, + 27111826 + ], + [ + 74794605, + 49446692 + ], + [ + 53216431, + 44318732 + ], + [ + 47016220, + 50254009 + ], + [ + 85632214, + 96084876 + ], + [ + 88516302, + 92090012 + ], + [ + 97408276, + 74415063 + ], + [ + 24813215, + 97412080 + ], + [ + 54372256, + 66910215 + ], + [ + 73479443, + 55140865 + ], + [ + 16782136, + 61576266 + ], + [ + 59692089, + 94690415 + ], + [ + 62824116, + 64400672 + ], + [ + 29793525, + 56821807 + ], + [ + 20122384, + 33882418 + ], + [ + 1133761, + 92067012 + ], + [ + 22353332, + 81303249 + ], + [ + 29988502, + 62053212 + ], + [ + 95381821, + 68718602 + ], + [ + 81441243, + 11745171 + ], + [ + 77524869, + 12810828 + ], + [ + 21975506, + 83905135 + ], + [ + 15063415, + 68955148 + ], + [ + 64777792, + 24923532 + ], + [ + 98242387, + 20008848 + ], + [ + 71463899, + 44708813 + ], + [ + 72134070, + 40806902 + ], + [ + 32042235, + 39859738 + ], + [ + 16095231, + 6703703 + ], + [ + 21655534, + 56669205 + ], + [ + 70388833, + 49203330 + ], + [ + 17500941, + 58004452 + ], + [ + 40644549, + 25421494 + ], + [ + 38080192, + 52557624 + ], + [ + 43557917, + 80419325 + ], + [ + 39177616, + 65988368 + ], + [ + 80321787, + 64206211 + ], + [ + 59636123, + 63227211 + ], + [ + 79586000, + 81939975 + ], + [ + 55993504, + 60641421 + ], + [ + 84454205, + 12324737 + ], + [ + 40647727, + 24501109 + ], + [ + 24665512, + 26293874 + ], + [ + 90665313, + 94575417 + ], + [ + 7058635, + 61188867 + ], + [ + 26339035, + 47825556 + ], + [ + 10398887, + 48962242 + ], + [ + 39410712, + 25452962 + ], + [ + 46653960, + 86064010 + ], + [ + 81555206, + 97047089 + ], + [ + 93588882, + 53625738 + ], + [ + 86934970, + 72537463 + ], + [ + 73915155, + 2799885 + ], + [ + 43062970, + 82799869 + ], + [ + 99542448, + 72893816 + ], + [ + 67245136, + 2178066 + ], + [ + 91689157, + 87015260 + ], + [ + 51323793, + 71020497 + ], + [ + 94950077, + 86614281 + ], + [ + 18989687, + 83099528 + ], + [ + 11229066, + 59881443 + ], + [ + 64796695, + 49212350 + ], + [ + 99581025, + 6431646 + ], + [ + 63996038, + 86123665 + ], + [ + 63598280, + 87309168 + ], + [ + 95627203, + 88182270 + ], + [ + 11212053, + 91795031 + ], + [ + 39482415, + 69420715 + ], + [ + 15844773, + 21030082 + ], + [ + 41338496, + 97971729 + ], + [ + 96895189, + 33944830 + ], + [ + 60093435, + 67866262 + ], + [ + 93448589, + 15598675 + ], + [ + 84449049, + 65728822 + ], + [ + 89543254, + 32737163 + ], + [ + 77511967, + 6498089 + ], + [ + 91533154, + 33254692 + ], + [ + 74833254, + 50528443 + ], + [ + 98258318, + 95284455 + ], + [ + 51422738, + 15456966 + ], + [ + 40656075, + 14737883 + ], + [ + 39437554, + 32996 + ], + [ + 33298200, + 15327875 + ], + [ + 76803163, + 46637473 + ], + [ + 11603162, + 78886313 + ], + [ + 13031702, + 13861017 + ], + [ + 54670100, + 40702923 + ], + [ + 35417414, + 41344083 + ], + [ + 5798349, + 32471099 + ], + [ + 1161672, + 28754372 + ], + [ + 77873678, + 57970469 + ], + [ + 96115018, + 30452109 + ], + [ + 54218136, + 90799434 + ], + [ + 98823330, + 11458691 + ], + [ + 17215840, + 27214170 + ], + [ + 87979953, + 44681796 + ], + [ + 47318121, + 14366318 + ], + [ + 23918595, + 77593844 + ], + [ + 55779153, + 42468475 + ], + [ + 29576844, + 44959071 + ], + [ + 47536455, + 20260504 + ], + [ + 84738836, + 29189051 + ], + [ + 36965991, + 3760491 + ], + [ + 69266066, + 52746213 + ], + [ + 12694255, + 18535272 + ], + [ + 80898971, + 63753469 + ], + [ + 62394792, + 3280707 + ], + [ + 80659084, + 52947624 + ], + [ + 20944569, + 66467965 + ], + [ + 5749487, + 85230546 + ], + [ + 70241329, + 52932697 + ], + [ + 48323036, + 90654807 + ], + [ + 33247313, + 2879131 + ], + [ + 6689965, + 88763524 + ], + [ + 66210889, + 63017304 + ], + [ + 21018885, + 96314045 + ], + [ + 10384783, + 87878010 + ], + [ + 90485535, + 17320847 + ], + [ + 14920137, + 64889465 + ], + [ + 81305063, + 61591176 + ], + [ + 29032838, + 75404359 + ], + [ + 60828530, + 47091681 + ], + [ + 53913569, + 40471231 + ], + [ + 36767976, + 86011754 + ], + [ + 63162307, + 40334202 + ], + [ + 98427283, + 180779 + ], + [ + 26141527, + 91990080 + ], + [ + 63803631, + 69074228 + ], + [ + 4600540, + 63649507 + ], + [ + 72386755, + 59575939 + ], + [ + 21415083, + 19916014 + ], + [ + 26692577, + 27507795 + ], + [ + 78868831, + 23575627 + ], + [ + 82742366, + 71778728 + ], + [ + 89551289, + 46532656 + ], + [ + 59017175, + 73155587 + ], + [ + 67159593, + 17215283 + ], + [ + 73768299, + 28223695 + ], + [ + 56508603, + 5038054 + ], + [ + 93312924, + 88735146 + ], + [ + 99396176, + 36585341 + ], + [ + 75159240, + 50787602 + ], + [ + 85236767, + 97056957 + ], + [ + 59045206, + 96334946 + ], + [ + 38441777, + 19700560 + ], + [ + 43725392, + 15327624 + ], + [ + 45539182, + 93138789 + ], + [ + 47837363, + 22177075 + ], + [ + 21968015, + 74281607 + ], + [ + 35688324, + 30892138 + ], + [ + 7970868, + 2203644 + ], + [ + 65928720, + 88425694 + ], + [ + 61822378, + 8942210 + ], + [ + 13761129, + 63663008 + ], + [ + 54134025, + 97556034 + ], + [ + 7811395, + 58321116 + ], + [ + 47277548, + 78207486 + ], + [ + 41631690, + 69531751 + ], + [ + 79987404, + 90300436 + ], + [ + 72120334, + 63523925 + ], + [ + 29385015, + 38924023 + ], + [ + 25710434, + 8228871 + ], + [ + 65261224, + 41830162 + ], + [ + 58308490, + 187184 + ], + [ + 65771710, + 11567471 + ], + [ + 34558438, + 77182825 + ], + [ + 83412230, + 54739728 + ], + [ + 20661037, + 74280423 + ], + [ + 83946177, + 41334664 + ], + [ + 79737995, + 15306944 + ], + [ + 75716763, + 21722217 + ], + [ + 43129954, + 22095891 + ], + [ + 65500986, + 45975731 + ], + [ + 32042764, + 63843301 + ], + [ + 28421805, + 48725824 + ], + [ + 76157811, + 45435311 + ], + [ + 99077722, + 28758373 + ], + [ + 47471783, + 32072650 + ], + [ + 86096194, + 8344384 + ], + [ + 96230616, + 19185497 + ], + [ + 33175246, + 12877193 + ], + [ + 18888017, + 53197748 + ], + [ + 19687009, + 3050150 + ], + [ + 68501061, + 19011894 + ], + [ + 1808214, + 57295983 + ], + [ + 84790995, + 54130080 + ], + [ + 34231582, + 65335802 + ], + [ + 28756319, + 63480400 + ], + [ + 32798265, + 39625424 + ], + [ + 80587275, + 51773247 + ], + [ + 81307213, + 90098500 + ], + [ + 64939780, + 95721925 + ], + [ + 92062889, + 65795436 + ], + [ + 61123183, + 1529767 + ], + [ + 56701995, + 81238024 + ], + [ + 82987753, + 44041733 + ], + [ + 4403302, + 18087756 + ], + [ + 17019388, + 80304201 + ], + [ + 32542606, + 64067031 + ], + [ + 69361585, + 65887358 + ], + [ + 29855474, + 35896323 + ], + [ + 8891540, + 74694988 + ], + [ + 64421664, + 75197857 + ], + [ + 74480920, + 28378130 + ], + [ + 84793512, + 55203946 + ], + [ + 18750221, + 45799727 + ], + [ + 35665037, + 75373410 + ], + [ + 58500756, + 64877581 + ], + [ + 64970029, + 193585 + ], + [ + 89437975, + 61341920 + ], + [ + 93616447, + 47952964 + ], + [ + 88134426, + 76006388 + ], + [ + 99766264, + 18057238 + ], + [ + 93104290, + 66492223 + ], + [ + 24320434, + 57245499 + ], + [ + 60724483, + 40210215 + ], + [ + 53243863, + 48791694 + ], + [ + 83568894, + 87021889 + ], + [ + 82621675, + 55320358 + ], + [ + 5698592, + 3471923 + ], + [ + 33966347, + 17149351 + ], + [ + 90228161, + 61012725 + ], + [ + 84991172, + 92965896 + ], + [ + 87891183, + 92185581 + ], + [ + 96984338, + 39180395 + ], + [ + 16750301, + 73849783 + ], + [ + 67040658, + 31656450 + ], + [ + 67138474, + 99795086 + ], + [ + 59369377, + 62965259 + ], + [ + 95638302, + 72386194 + ], + [ + 79324409, + 35360986 + ], + [ + 8414942, + 32406738 + ], + [ + 37563538, + 6599560 + ], + [ + 89962957, + 8736691 + ], + [ + 51141187, + 49277782 + ], + [ + 6333667, + 792973 + ], + [ + 91453727, + 12605069 + ], + [ + 50835073, + 13146882 + ], + [ + 99488887, + 65717979 + ], + [ + 59259355, + 98547427 + ], + [ + 7064558, + 71384572 + ], + [ + 27032573, + 44212120 + ], + [ + 74350407, + 71601204 + ], + [ + 40753857, + 23089193 + ], + [ + 57762522, + 59258545 + ], + [ + 7542542, + 30034653 + ], + [ + 53673146, + 3299387 + ], + [ + 21148039, + 762255 + ], + [ + 54089147, + 89593566 + ], + [ + 47176964, + 71789526 + ], + [ + 12463600, + 68313023 + ], + [ + 59996173, + 76435416 + ], + [ + 14513626, + 31110118 + ], + [ + 35777060, + 93944405 + ], + [ + 75705618, + 77414501 + ], + [ + 92398178, + 76003196 + ], + [ + 41691574, + 64355199 + ], + [ + 63475336, + 65915439 + ], + [ + 31546484, + 67589871 + ], + [ + 96721247, + 31257470 + ], + [ + 33412960, + 75040449 + ], + [ + 81346450, + 77349490 + ], + [ + 55060744, + 10361660 + ], + [ + 65483888, + 87889515 + ], + [ + 3123832, + 52637718 + ], + [ + 24673097, + 48932257 + ], + [ + 88985072, + 82524076 + ], + [ + 17778144, + 60885166 + ], + [ + 14895106, + 8999452 + ], + [ + 87211151, + 81136856 + ], + [ + 87579061, + 34406184 + ], + [ + 50625854, + 77013059 + ], + [ + 23104951, + 18954963 + ], + [ + 50010966, + 15547331 + ], + [ + 26818255, + 9879862 + ], + [ + 87013208, + 31238112 + ], + [ + 12083846, + 35084170 + ], + [ + 11238296, + 31223995 + ], + [ + 7142142, + 45525095 + ], + [ + 41628155, + 34056617 + ], + [ + 20503611, + 15908058 + ], + [ + 81962417, + 10005601 + ], + [ + 65784482, + 41541829 + ], + [ + 39626304, + 26671802 + ], + [ + 1462552, + 11625022 + ], + [ + 55039876, + 40576988 + ], + [ + 27612157, + 92869915 + ], + [ + 82862452, + 78754941 + ], + [ + 80207794, + 77391291 + ], + [ + 63552961, + 17527531 + ], + [ + 253896, + 94921468 + ], + [ + 21133591, + 29954237 + ], + [ + 85582444, + 79490495 + ], + [ + 99271005, + 25719952 + ], + [ + 36707561, + 27446117 + ], + [ + 84273254, + 32371802 + ], + [ + 89631140, + 91955291 + ], + [ + 31401823, + 9879485 + ], + [ + 87459859, + 96217950 + ], + [ + 75420835, + 13530011 + ], + [ + 79462702, + 73507700 + ], + [ + 9777663, + 63879294 + ], + [ + 4084586, + 4087314 + ], + [ + 71006565, + 23147629 + ], + [ + 67478693, + 56729254 + ], + [ + 98263403, + 84223321 + ], + [ + 52252860, + 8703515 + ], + [ + 78927460, + 24358791 + ], + [ + 52376760, + 15462040 + ], + [ + 5336830, + 99808599 + ], + [ + 26786982, + 59084267 + ], + [ + 24232268, + 78202372 + ], + [ + 75619629, + 54089862 + ], + [ + 72275283, + 28482605 + ], + [ + 88936839, + 79276704 + ], + [ + 961526, + 59790680 + ], + [ + 68151118, + 42409453 + ], + [ + 38253903, + 21458852 + ], + [ + 55989330, + 15034076 + ], + [ + 52360086, + 19127395 + ], + [ + 21865724, + 5132902 + ], + [ + 2185878, + 42033401 + ], + [ + 34965401, + 73738030 + ], + [ + 64612180, + 60311145 + ], + [ + 2107348, + 55806977 + ], + [ + 6506510, + 25887053 + ], + [ + 95666066, + 66476593 + ], + [ + 57148275, + 8894338 + ], + [ + 83522876, + 2382043 + ], + [ + 65852251, + 69405277 + ], + [ + 64529754, + 32206947 + ], + [ + 98555080, + 13640939 + ], + [ + 31805059, + 24043492 + ], + [ + 36851083, + 40670501 + ], + [ + 97723299, + 76231032 + ], + [ + 27875573, + 92629459 + ], + [ + 36607622, + 87232203 + ], + [ + 20150950, + 44124456 + ], + [ + 77566890, + 23301380 + ], + [ + 69085538, + 78162442 + ], + [ + 94201033, + 1850665 + ], + [ + 56504581, + 80798274 + ], + [ + 61339294, + 81197153 + ], + [ + 25616444, + 70174287 + ], + [ + 22431769, + 91263395 + ], + [ + 24520738, + 83456313 + ], + [ + 70326309, + 33165732 + ], + [ + 65552412, + 86065199 + ], + [ + 49027164, + 21554755 + ], + [ + 33521690, + 38404056 + ], + [ + 39827922, + 2868230 + ], + [ + 32223933, + 58392760 + ], + [ + 87180298, + 88415217 + ], + [ + 58524716, + 86961400 + ], + [ + 58396306, + 38136174 + ], + [ + 60849325, + 92221356 + ], + [ + 54810072, + 721725 + ], + [ + 36269520, + 28937281 + ], + [ + 31997533, + 72168345 + ], + [ + 8762181, + 20859809 + ], + [ + 70416924, + 28826176 + ], + [ + 19851465, + 88614219 + ], + [ + 72360419, + 16424671 + ], + [ + 19281247, + 15651375 + ], + [ + 90495172, + 16410355 + ], + [ + 25238352, + 36273330 + ], + [ + 11923831, + 72971550 + ], + [ + 8320960, + 15697133 + ], + [ + 308032, + 66615450 + ], + [ + 26460195, + 95185016 + ], + [ + 1182742, + 19117403 + ], + [ + 32137919, + 56016419 + ], + [ + 52132008, + 99796589 + ], + [ + 18126470, + 49207686 + ], + [ + 96904461, + 58907679 + ], + [ + 80780394, + 13450242 + ], + [ + 4713277, + 91377234 + ], + [ + 555364, + 15800903 + ], + [ + 24725334, + 70122560 + ], + [ + 50321813, + 35444291 + ], + [ + 13968513, + 4552743 + ], + [ + 10455109, + 13546418 + ], + [ + 21978732, + 91118306 + ], + [ + 84583714, + 22699536 + ], + [ + 45178113, + 21430586 + ], + [ + 25181684, + 99152856 + ], + [ + 79876333, + 37619711 + ], + [ + 88590150, + 3091942 + ], + [ + 61951417, + 39569374 + ], + [ + 84917532, + 25371701 + ], + [ + 29970398, + 93817052 + ], + [ + 89702643, + 32594546 + ], + [ + 76121970, + 82154283 + ], + [ + 28589444, + 24547295 + ], + [ + 23171119, + 67014029 + ], + [ + 65989060, + 5595267 + ], + [ + 77792664, + 77547097 + ], + [ + 27274228, + 35583750 + ], + [ + 93279525, + 98558326 + ], + [ + 46295987, + 23409201 + ], + [ + 52880793, + 81782749 + ], + [ + 66958218, + 34179806 + ], + [ + 76234561, + 81101314 + ], + [ + 13020334, + 30931780 + ], + [ + 59683729, + 72568043 + ], + [ + 84779911, + 91707715 + ], + [ + 41640498, + 83396875 + ], + [ + 38448430, + 70215685 + ], + [ + 24976197, + 90270499 + ], + [ + 40098928, + 70993005 + ], + [ + 35637388, + 84713581 + ], + [ + 10028943, + 73952437 + ], + [ + 52277926, + 59458340 + ], + [ + 94864947, + 73347639 + ], + [ + 82804890, + 13857526 + ], + [ + 3116648, + 74712844 + ], + [ + 40161022, + 42100196 + ], + [ + 63999482, + 32086893 + ], + [ + 58154303, + 30637126 + ], + [ + 70378688, + 69338110 + ], + [ + 59378065, + 16654108 + ], + [ + 26947299, + 20934098 + ], + [ + 13920482, + 14556484 + ], + [ + 36968122, + 65996727 + ], + [ + 64564764, + 9534819 + ], + [ + 51276428, + 85924633 + ], + [ + 7416310, + 90791747 + ], + [ + 35820472, + 2386170 + ], + [ + 51382753, + 79244790 + ], + [ + 38853638, + 51173122 + ], + [ + 66116534, + 40172003 + ], + [ + 1395765, + 81490488 + ], + [ + 65181985, + 69866687 + ], + [ + 21548365, + 49048898 + ], + [ + 48758523, + 71176640 + ], + [ + 93449519, + 74890856 + ], + [ + 2785207, + 201611 + ], + [ + 42100515, + 2259098 + ], + [ + 93215116, + 60868408 + ], + [ + 85080697, + 72126881 + ], + [ + 97847185, + 58018270 + ], + [ + 76830318, + 92998550 + ], + [ + 79813440, + 16348276 + ], + [ + 80456334, + 78300229 + ], + [ + 5091785, + 98738745 + ], + [ + 53282138, + 64028810 + ], + [ + 30099104, + 60024702 + ], + [ + 36208137, + 98242054 + ], + [ + 7793413, + 95866850 + ], + [ + 11847426, + 92004501 + ], + [ + 22546769, + 50921750 + ], + [ + 39987234, + 78003500 + ], + [ + 36028839, + 92354397 + ], + [ + 4071376, + 15612141 + ], + [ + 5154384, + 15012799 + ], + [ + 3661361, + 83594683 + ], + [ + 12337797, + 42375875 + ], + [ + 58971317, + 47203427 + ], + [ + 97496528, + 7725219 + ], + [ + 63591292, + 49615857 + ], + [ + 8398666, + 67973850 + ], + [ + 70619297, + 99387259 + ], + [ + 64053854, + 48753769 + ], + [ + 24236672, + 93918109 + ], + [ + 3223458, + 39047225 + ], + [ + 76369058, + 91609383 + ], + [ + 16589459, + 52910007 + ], + [ + 98459276, + 69551880 + ], + [ + 37991223, + 29358808 + ], + [ + 50649959, + 34598817 + ], + [ + 77755096, + 50136746 + ], + [ + 15239632, + 85571071 + ], + [ + 8377397, + 75283715 + ], + [ + 44222892, + 57951408 + ], + [ + 93491788, + 68430670 + ], + [ + 36799561, + 30034757 + ], + [ + 6721945, + 22518079 + ], + [ + 47903028, + 44130683 + ], + [ + 78283577, + 63340081 + ], + [ + 99193195, + 26376798 + ], + [ + 34040176, + 29421633 + ], + [ + 23721324, + 60883995 + ], + [ + 99541928, + 80779452 + ], + [ + 85199587, + 21815680 + ], + [ + 35502380, + 76606595 + ], + [ + 61597008, + 14271874 + ], + [ + 50766686, + 23244627 + ], + [ + 2556760, + 29104431 + ], + [ + 39669105, + 93540084 + ], + [ + 43420854, + 87509064 + ], + [ + 23955009, + 58802648 + ], + [ + 9747435, + 6523138 + ], + [ + 29107014, + 59812108 + ], + [ + 84137577, + 88323331 + ], + [ + 25844388, + 31940618 + ], + [ + 41492540, + 33729057 + ], + [ + 72637721, + 2940660 + ], + [ + 14254198, + 79649154 + ], + [ + 14015808, + 77747863 + ], + [ + 97479503, + 51244116 + ], + [ + 18504727, + 64380349 + ], + [ + 87289209, + 28853247 + ], + [ + 22855111, + 62179949 + ], + [ + 29568150, + 86808115 + ], + [ + 1992055, + 25633080 + ], + [ + 34464594, + 55837064 + ], + [ + 37373739, + 10532291 + ], + [ + 54644882, + 83334702 + ], + [ + 19011057, + 87030585 + ], + [ + 18824087, + 7157583 + ], + [ + 91617988, + 63957560 + ], + [ + 39302014, + 77366186 + ], + [ + 75721122, + 59906757 + ], + [ + 14764670, + 64617032 + ], + [ + 25977384, + 37387971 + ], + [ + 32039334, + 33458556 + ], + [ + 65870511, + 11457438 + ], + [ + 33380035, + 58955264 + ], + [ + 62515262, + 10144057 + ], + [ + 83659232, + 65886746 + ], + [ + 67144820, + 50261403 + ], + [ + 72275968, + 52188190 + ], + [ + 5920137, + 90650275 + ], + [ + 61376412, + 69227692 + ], + [ + 9636567, + 76049173 + ], + [ + 31773822, + 62451875 + ], + [ + 23405682, + 27910628 + ], + [ + 47656740, + 6308647 + ], + [ + 69613047, + 49186732 + ], + [ + 80165183, + 70317829 + ], + [ + 84173089, + 50327370 + ], + [ + 57557993, + 90830635 + ], + [ + 7546098, + 21015241 + ], + [ + 84397322, + 30426417 + ], + [ + 50564285, + 5686789 + ], + [ + 70934860, + 85641521 + ], + [ + 86273323, + 52851829 + ], + [ + 77142318, + 43680717 + ], + [ + 78779821, + 29449515 + ], + [ + 71088406, + 70465990 + ], + [ + 82851969, + 39500332 + ], + [ + 50457311, + 91796885 + ], + [ + 17280437, + 39909644 + ], + [ + 76544926, + 96390478 + ], + [ + 19288208, + 42262156 + ], + [ + 936798, + 41704550 + ], + [ + 84505745, + 56125350 + ], + [ + 49950123, + 33655946 + ], + [ + 98451381, + 1694661 + ], + [ + 55156692, + 3336854 + ], + [ + 7492874, + 46242992 + ], + [ + 76939721, + 92000001 + ], + [ + 23993569, + 41022911 + ], + [ + 40810216, + 27327885 + ], + [ + 38527754, + 29484045 + ], + [ + 1393835, + 40845875 + ], + [ + 3665409, + 64150628 + ], + [ + 7057500, + 65453412 + ], + [ + 49677154, + 33220195 + ], + [ + 32507045, + 66106261 + ], + [ + 33893901, + 4101709 + ], + [ + 86375975, + 72949099 + ], + [ + 31320150, + 5386287 + ], + [ + 41837935, + 64246831 + ], + [ + 95605499, + 86945882 + ], + [ + 13447623, + 80261225 + ], + [ + 52255455, + 75415804 + ], + [ + 27893129, + 64667447 + ], + [ + 87780009, + 38294995 + ], + [ + 72341159, + 12214680 + ], + [ + 97794137, + 33227395 + ], + [ + 66052634, + 66582527 + ], + [ + 79346195, + 45394652 + ], + [ + 70998642, + 42525255 + ], + [ + 12413991, + 70187023 + ], + [ + 36350796, + 85835382 + ], + [ + 34160152, + 1597742 + ], + [ + 55287585, + 39887680 + ], + [ + 99304664, + 1472023 + ], + [ + 22145724, + 14008078 + ], + [ + 80881676, + 91226805 + ], + [ + 43221738, + 93693045 + ], + [ + 64729224, + 1816742 + ], + [ + 94349217, + 24590256 + ], + [ + 65284487, + 96718547 + ], + [ + 20661911, + 31429658 + ], + [ + 57777140, + 27358347 + ], + [ + 12815332, + 65642900 + ], + [ + 10984710, + 41547833 + ], + [ + 25656099, + 24742930 + ], + [ + 32232248, + 39488280 + ], + [ + 83256397, + 12936619 + ], + [ + 43712703, + 11140819 + ], + [ + 89396679, + 83879201 + ], + [ + 66349734, + 60760253 + ], + [ + 47475330, + 78357778 + ], + [ + 82897548, + 61537642 + ], + [ + 62377328, + 46497968 + ], + [ + 90276833, + 73670430 + ], + [ + 32743452, + 88408042 + ], + [ + 17236664, + 6099070 + ], + [ + 99260512, + 54403491 + ], + [ + 46967333, + 86083068 + ], + [ + 39834467, + 55606893 + ], + [ + 5387694, + 14425679 + ], + [ + 78067297, + 89419732 + ], + [ + 74738415, + 29076800 + ], + [ + 77241077, + 37644549 + ], + [ + 19908351, + 46418111 + ], + [ + 18112636, + 70727978 + ], + [ + 71240847, + 88825588 + ], + [ + 41554491, + 93456673 + ], + [ + 43016498, + 51485255 + ], + [ + 42131495, + 10155773 + ], + [ + 70397003, + 5946108 + ], + [ + 98354834, + 48976894 + ], + [ + 14933246, + 81848844 + ], + [ + 76438944, + 3857235 + ], + [ + 37299096, + 60438148 + ], + [ + 48140445, + 89102081 + ], + [ + 91110354, + 39720414 + ], + [ + 36349217, + 12121154 + ], + [ + 83040033, + 463503 + ], + [ + 1924264, + 60364628 + ], + [ + 11776240, + 59820519 + ], + [ + 14024961, + 22496681 + ], + [ + 33132360, + 57949363 + ], + [ + 587149, + 86125530 + ], + [ + 28956589, + 28546184 + ], + [ + 38576678, + 65519000 + ], + [ + 22680391, + 22154092 + ], + [ + 34679727, + 71646571 + ], + [ + 5280556, + 5896696 + ], + [ + 66359913, + 68345888 + ], + [ + 26924090, + 64098022 + ], + [ + 71923429, + 56192321 + ], + [ + 78591539, + 34677564 + ], + [ + 77561529, + 17105628 + ], + [ + 47349359, + 4566307 + ], + [ + 63440137, + 33642941 + ], + [ + 36362348, + 86072713 + ], + [ + 53370355, + 90477695 + ], + [ + 94472848, + 80750857 + ], + [ + 75409073, + 59574472 + ], + [ + 81230405, + 5229340 + ], + [ + 11945026, + 64397401 + ], + [ + 9607401, + 78262547 + ], + [ + 89102344, + 49257806 + ], + [ + 43367504, + 38451990 + ], + [ + 16252288, + 7932370 + ], + [ + 45570582, + 59368332 + ], + [ + 14099559, + 74067485 + ], + [ + 52492324, + 20575878 + ], + [ + 22008447, + 28149731 + ], + [ + 54133699, + 7927449 + ], + [ + 96496954, + 39720450 + ], + [ + 37259355, + 26298394 + ], + [ + 99108415, + 7928289 + ], + [ + 59111833, + 34033799 + ], + [ + 21337091, + 10609403 + ], + [ + 9052180, + 52047275 + ], + [ + 79278310, + 82280719 + ], + [ + 15644279, + 88916588 + ], + [ + 25934676, + 1935241 + ], + [ + 29928854, + 17204525 + ], + [ + 75199970, + 50049676 + ], + [ + 34510261, + 96501299 + ], + [ + 32234868, + 37520257 + ], + [ + 68423540, + 6505421 + ], + [ + 2712490, + 4878154 + ], + [ + 1125371, + 39486049 + ], + [ + 63158212, + 57070964 + ], + [ + 1983180, + 79340341 + ], + [ + 65014273, + 42761537 + ], + [ + 2144248, + 633697 + ], + [ + 95893129, + 90266899 + ], + [ + 84169346, + 12071484 + ], + [ + 55071460, + 19037681 + ], + [ + 6288537, + 43806416 + ], + [ + 76244308, + 37277548 + ], + [ + 61659272, + 57313630 + ], + [ + 50440416, + 42064767 + ], + [ + 40278489, + 18094819 + ], + [ + 64924231, + 9644653 + ], + [ + 76799750, + 88774910 + ], + [ + 49711642, + 38631661 + ], + [ + 17186234, + 48226447 + ], + [ + 25068799, + 67456061 + ], + [ + 26593011, + 12272322 + ], + [ + 3404164, + 88926955 + ], + [ + 53499517, + 74898944 + ], + [ + 23584082, + 12505557 + ], + [ + 83503059, + 8624594 + ], + [ + 10315960, + 40012701 + ], + [ + 16565882, + 95391363 + ], + [ + 40982490, + 25543365 + ], + [ + 81400119, + 96041009 + ], + [ + 42797379, + 66541651 + ], + [ + 60802668, + 68424041 + ], + [ + 43458438, + 95518649 + ], + [ + 20174019, + 64085915 + ], + [ + 83260244, + 94970011 + ], + [ + 85999351, + 46496160 + ], + [ + 90056409, + 44063467 + ], + [ + 9280267, + 30915990 + ], + [ + 90227772, + 3168725 + ], + [ + 97862779, + 14568279 + ], + [ + 69992478, + 39670988 + ], + [ + 51135586, + 46215216 + ], + [ + 52287726, + 51267774 + ], + [ + 82899011, + 44846988 + ], + [ + 11917349, + 81791631 + ], + [ + 82071205, + 13033631 + ], + [ + 13776314, + 96281041 + ], + [ + 18219403, + 84952038 + ], + [ + 17913867, + 44190432 + ], + [ + 25985804, + 6180083 + ], + [ + 23864689, + 7321259 + ], + [ + 93918803, + 46608952 + ], + [ + 81427095, + 63916387 + ], + [ + 16804912, + 78161231 + ], + [ + 78160903, + 89321583 + ], + [ + 69215638, + 48671936 + ], + [ + 14271248, + 85359285 + ], + [ + 83390443, + 31296560 + ], + [ + 5949613, + 63469546 + ], + [ + 1509518, + 81350604 + ], + [ + 55993659, + 4404474 + ], + [ + 59579391, + 6403209 + ], + [ + 75776624, + 80134643 + ], + [ + 58189933, + 55728564 + ], + [ + 48619335, + 3403048 + ], + [ + 72362590, + 5955923 + ], + [ + 39525504, + 9898200 + ], + [ + 81861983, + 89903032 + ], + [ + 28912821, + 98613251 + ], + [ + 86167865, + 90508639 + ], + [ + 91565252, + 75503960 + ], + [ + 81278990, + 96612820 + ], + [ + 69769524, + 5045354 + ], + [ + 37733079, + 80097819 + ], + [ + 72102691, + 19038248 + ], + [ + 27137398, + 81355252 + ], + [ + 77409070, + 10843432 + ], + [ + 74184413, + 52120569 + ], + [ + 32435904, + 6975821 + ], + [ + 72662833, + 21281241 + ], + [ + 22546894, + 81866726 + ], + [ + 65503929, + 39383811 + ], + [ + 82641779, + 63893959 + ], + [ + 56479544, + 34961323 + ], + [ + 27021980, + 9692735 + ], + [ + 50832343, + 86730148 + ], + [ + 98318101, + 22740968 + ], + [ + 65866237, + 91661233 + ], + [ + 44551116, + 78497819 + ], + [ + 54127760, + 45231560 + ], + [ + 69149217, + 49253109 + ], + [ + 46832418, + 83993473 + ], + [ + 35537826, + 91016706 + ], + [ + 84685889, + 54802670 + ], + [ + 34338815, + 3357084 + ], + [ + 10837511, + 92824460 + ], + [ + 44959993, + 77489380 + ], + [ + 59071826, + 46878993 + ], + [ + 44201827, + 34566722 + ], + [ + 95842532, + 18816127 + ], + [ + 68891977, + 91443310 + ], + [ + 95159701, + 79309770 + ], + [ + 65701390, + 96148747 + ], + [ + 57107736, + 7443501 + ], + [ + 20737884, + 67052108 + ], + [ + 59741992, + 17867462 + ], + [ + 78766626, + 74731171 + ], + [ + 77794902, + 90218399 + ], + [ + 94425062, + 30816125 + ], + [ + 5279916, + 68403965 + ], + [ + 87086575, + 80058072 + ], + [ + 1797843, + 93412931 + ], + [ + 88040934, + 65355719 + ], + [ + 32746074, + 65243088 + ], + [ + 50355113, + 931425 + ], + [ + 21848234, + 64361065 + ], + [ + 81279467, + 55289942 + ], + [ + 83891318, + 20374383 + ], + [ + 69070772, + 10461999 + ], + [ + 34967364, + 53738082 + ], + [ + 31114822, + 51796170 + ], + [ + 14812760, + 29118747 + ], + [ + 26559300, + 16194011 + ], + [ + 93616146, + 3274605 + ], + [ + 74311031, + 92215366 + ], + [ + 71432865, + 59628672 + ], + [ + 31739714, + 79420096 + ], + [ + 41175886, + 5502562 + ], + [ + 93635126, + 80779273 + ], + [ + 1208373, + 56077810 + ], + [ + 56595597, + 92951431 + ], + [ + 91920184, + 46765511 + ], + [ + 21765060, + 28721515 + ], + [ + 19119283, + 71614868 + ], + [ + 38704483, + 32981826 + ], + [ + 42997843, + 61053308 + ], + [ + 30819967, + 32202022 + ], + [ + 80822345, + 9893635 + ], + [ + 79763625, + 75855817 + ], + [ + 94400491, + 76741664 + ], + [ + 64069679, + 33602321 + ], + [ + 89575612, + 13687955 + ], + [ + 27308011, + 62877770 + ], + [ + 11828581, + 9620970 + ], + [ + 50873481, + 74923704 + ], + [ + 18206154, + 1766695 + ], + [ + 48119859, + 74284581 + ], + [ + 39131851, + 16726629 + ], + [ + 20012307, + 73408615 + ], + [ + 15475201, + 17623266 + ], + [ + 51691317, + 2147647 + ], + [ + 85759123, + 75198029 + ], + [ + 72267080, + 83362020 + ], + [ + 1417900, + 78665490 + ], + [ + 36352801, + 75168439 + ], + [ + 66977811, + 28256966 + ], + [ + 40821077, + 23360123 + ], + [ + 76367631, + 41076054 + ], + [ + 26727375, + 98798177 + ], + [ + 71402849, + 42229902 + ], + [ + 88427197, + 80020374 + ], + [ + 31881972, + 37495861 + ], + [ + 14537324, + 36296572 + ], + [ + 20158171, + 46561884 + ], + [ + 3498466, + 88718885 + ], + [ + 47680273, + 54781993 + ], + [ + 90592032, + 63584161 + ], + [ + 22945067, + 64076573 + ], + [ + 34637349, + 27620993 + ], + [ + 20395293, + 10139532 + ], + [ + 26031063, + 4027871 + ], + [ + 4094220, + 27337662 + ], + [ + 64224116, + 1134840 + ], + [ + 25273868, + 22826853 + ], + [ + 17667762, + 84432185 + ], + [ + 10615201, + 50968723 + ], + [ + 13643397, + 82321598 + ], + [ + 16959844, + 86609409 + ], + [ + 18716149, + 78263135 + ], + [ + 61468703, + 1644224 + ], + [ + 9139363, + 72179999 + ], + [ + 14522933, + 5584093 + ], + [ + 20254511, + 86542716 + ], + [ + 29626846, + 92057678 + ], + [ + 86470451, + 51398242 + ], + [ + 66617311, + 14450046 + ], + [ + 25636542, + 41181946 + ], + [ + 76368684, + 44736564 + ], + [ + 71045161, + 57796910 + ], + [ + 92658051, + 59562999 + ], + [ + 38034772, + 45276458 + ], + [ + 4312350, + 91425051 + ], + [ + 95344075, + 38458996 + ], + [ + 43870826, + 85584328 + ], + [ + 96530184, + 68757529 + ], + [ + 11417092, + 68300633 + ], + [ + 61653098, + 18532252 + ], + [ + 18361898, + 3482472 + ], + [ + 34150700, + 22427391 + ], + [ + 24546515, + 10401396 + ], + [ + 28507828, + 21650312 + ], + [ + 59805487, + 88971747 + ], + [ + 29393899, + 38832737 + ], + [ + 83167110, + 95882590 + ], + [ + 2818504, + 34474897 + ], + [ + 24727427, + 29393436 + ], + [ + 73833595, + 40275544 + ], + [ + 66061137, + 67110771 + ], + [ + 5255241, + 62212241 + ], + [ + 77412640, + 52892386 + ], + [ + 62809419, + 41621804 + ], + [ + 7129011, + 62045799 + ], + [ + 2784008, + 96140674 + ], + [ + 37928738, + 63496850 + ], + [ + 54948132, + 19246301 + ], + [ + 46799214, + 81635245 + ], + [ + 7502950, + 32282654 + ], + [ + 11654061, + 72107836 + ], + [ + 61140278, + 89512723 + ], + [ + 56615666, + 2535463 + ], + [ + 19947845, + 94024596 + ], + [ + 53740561, + 84732823 + ], + [ + 67468136, + 90738559 + ], + [ + 61596119, + 73787844 + ], + [ + 98150529, + 72884484 + ], + [ + 31465059, + 25836649 + ], + [ + 27519361, + 24296776 + ], + [ + 80142228, + 41826917 + ], + [ + 32295886, + 7213414 + ], + [ + 54573783, + 38921493 + ], + [ + 97036063, + 62813065 + ], + [ + 58319199, + 78988085 + ], + [ + 10570475, + 46773223 + ], + [ + 28468573, + 24474364 + ], + [ + 44817468, + 36474509 + ], + [ + 25136288, + 10293161 + ], + [ + 24199836, + 62995076 + ], + [ + 8837369, + 50615040 + ], + [ + 93761762, + 28483307 + ], + [ + 93565346, + 87532866 + ], + [ + 5047692, + 48389327 + ], + [ + 92972638, + 72717757 + ], + [ + 97955064, + 47316799 + ], + [ + 30705006, + 79886757 + ], + [ + 42335236, + 84184227 + ], + [ + 37449723, + 84760534 + ], + [ + 88011220, + 94080905 + ], + [ + 83414156, + 64566177 + ], + [ + 72692321, + 59496587 + ], + [ + 6236242, + 82957813 + ], + [ + 37076618, + 39308136 + ], + [ + 89238853, + 23257792 + ], + [ + 87332988, + 32756544 + ], + [ + 38476226, + 87174248 + ], + [ + 69859081, + 19935271 + ], + [ + 33007638, + 59097756 + ], + [ + 13820871, + 39098172 + ], + [ + 61328313, + 71761657 + ], + [ + 60151662, + 44975417 + ], + [ + 83284712, + 27350792 + ], + [ + 31928235, + 39185187 + ], + [ + 79986494, + 1056756 + ], + [ + 26276550, + 11413170 + ], + [ + 73478012, + 93169283 + ], + [ + 54861734, + 62803626 + ], + [ + 98513413, + 61436298 + ], + [ + 50333456, + 68907291 + ], + [ + 11815513, + 79685904 + ], + [ + 1044238, + 44470526 + ], + [ + 13261564, + 19615674 + ], + [ + 41063894, + 88171598 + ], + [ + 99750186, + 49909219 + ], + [ + 99271337, + 1601283 + ], + [ + 3808254, + 54102163 + ], + [ + 92498227, + 64702242 + ], + [ + 19248866, + 7984636 + ], + [ + 14560052, + 41814832 + ], + [ + 36250996, + 83601628 + ], + [ + 84800160, + 39630745 + ], + [ + 81484207, + 21608202 + ], + [ + 11114474, + 63343701 + ], + [ + 61537832, + 89947607 + ], + [ + 94085644, + 34436850 + ], + [ + 67800165, + 46223476 + ], + [ + 74339488, + 13416747 + ], + [ + 64422024, + 53386574 + ], + [ + 11844709, + 51003731 + ], + [ + 95422692, + 98574934 + ], + [ + 3050253, + 14697210 + ], + [ + 81412827, + 21933725 + ], + [ + 99498916, + 92016984 + ], + [ + 71276972, + 32070358 + ], + [ + 23444994, + 67947323 + ], + [ + 22240540, + 75221702 + ], + [ + 81834626, + 50238899 + ], + [ + 94064491, + 25408866 + ], + [ + 69856386, + 77542097 + ], + [ + 98040357, + 41814410 + ], + [ + 53378486, + 54890299 + ], + [ + 47742647, + 82279468 + ], + [ + 71968306, + 22171672 + ], + [ + 76258886, + 62839305 + ], + [ + 33555128, + 64430849 + ], + [ + 12085978, + 13724549 + ], + [ + 81621853, + 90118231 + ], + [ + 1584895, + 96552635 + ], + [ + 95921902, + 84596370 + ], + [ + 71464050, + 87904052 + ], + [ + 88678912, + 87186613 + ], + [ + 31398917, + 18979363 + ], + [ + 8258124, + 41648728 + ], + [ + 25918806, + 88861640 + ], + [ + 74372518, + 4504702 + ], + [ + 30809099, + 12274653 + ], + [ + 37335775, + 77501961 + ], + [ + 57726103, + 51973771 + ], + [ + 4525148, + 26684443 + ], + [ + 46251935, + 2676061 + ], + [ + 77590052, + 22977610 + ], + [ + 858692, + 5232102 + ], + [ + 61568798, + 47853022 + ], + [ + 29561901, + 69983217 + ], + [ + 42932201, + 47679788 + ], + [ + 60925633, + 84505397 + ], + [ + 55879197, + 60595724 + ], + [ + 41167052, + 59588439 + ], + [ + 5208444, + 51877220 + ], + [ + 25051756, + 82897599 + ], + [ + 72713730, + 95778057 + ], + [ + 72373069, + 62610130 + ], + [ + 90776865, + 64306285 + ], + [ + 2325093, + 89547140 + ], + [ + 6112941, + 46179259 + ], + [ + 35913586, + 91352045 + ], + [ + 66084093, + 43725893 + ], + [ + 92030332, + 95514486 + ], + [ + 42104153, + 28461896 + ], + [ + 73574873, + 88842239 + ], + [ + 11730524, + 37465504 + ], + [ + 67119330, + 98344163 + ], + [ + 65936329, + 99787372 + ], + [ + 62659530, + 31766263 + ], + [ + 21817873, + 41356778 + ], + [ + 59306403, + 48446514 + ], + [ + 94420356, + 6803129 + ], + [ + 58555656, + 16583966 + ], + [ + 6655761, + 55528593 + ], + [ + 98745220, + 22287060 + ], + [ + 16072886, + 93459406 + ], + [ + 32809678, + 59123087 + ], + [ + 69904830, + 98079374 + ], + [ + 43023053, + 93308144 + ], + [ + 73630240, + 51672904 + ], + [ + 61254453, + 16760226 + ], + [ + 52419733, + 16003445 + ], + [ + 12232147, + 12037778 + ], + [ + 88394741, + 66918748 + ], + [ + 87926059, + 15978882 + ], + [ + 65500696, + 6673285 + ], + [ + 63807934, + 54173895 + ], + [ + 31907322, + 18649257 + ], + [ + 46299989, + 98344742 + ], + [ + 16213651, + 4118645 + ], + [ + 56936783, + 14891409 + ], + [ + 52578188, + 91933771 + ], + [ + 56234100, + 91196750 + ], + [ + 12936008, + 55840301 + ], + [ + 93227590, + 6352060 + ], + [ + 84505967, + 62786109 + ], + [ + 9785624, + 80616033 + ], + [ + 49709455, + 69431770 + ], + [ + 95990727, + 9909039 + ], + [ + 24217460, + 45459359 + ], + [ + 7503703, + 64735830 + ], + [ + 45635328, + 76213946 + ], + [ + 54326029, + 66458649 + ], + [ + 1526474, + 41565315 + ], + [ + 36860659, + 20047276 + ], + [ + 82026298, + 57594440 + ], + [ + 32845662, + 30966463 + ], + [ + 4523876, + 52991195 + ], + [ + 64935915, + 75158354 + ], + [ + 771925, + 63342495 + ], + [ + 22672832, + 93846202 + ], + [ + 6865136, + 80054119 + ], + [ + 27697133, + 88851176 + ], + [ + 75988352, + 35023425 + ], + [ + 53088070, + 74110373 + ], + [ + 49620532, + 48500138 + ], + [ + 53508186, + 93691856 + ], + [ + 15165454, + 77215641 + ], + [ + 14683915, + 59207680 + ], + [ + 3070495, + 36235467 + ], + [ + 90765289, + 85190939 + ], + [ + 54647891, + 37467595 + ], + [ + 87979849, + 42772099 + ], + [ + 11488206, + 45589764 + ], + [ + 36196771, + 60362278 + ], + [ + 13760938, + 4967073 + ], + [ + 5685009, + 82300849 + ], + [ + 38063643, + 55902011 + ], + [ + 12644688, + 82116512 + ], + [ + 66815701, + 62703212 + ], + [ + 15887103, + 79137764 + ], + [ + 96397117, + 42239824 + ], + [ + 65849404, + 24913090 + ], + [ + 98677128, + 68584079 + ], + [ + 65234272, + 65584711 + ], + [ + 51958231, + 92102906 + ], + [ + 52743552, + 90527308 + ], + [ + 60469705, + 65818408 + ], + [ + 57246835, + 56844686 + ], + [ + 30113498, + 67462141 + ], + [ + 57385360, + 30488403 + ], + [ + 78101244, + 23167845 + ], + [ + 61456575, + 56659614 + ], + [ + 56649237, + 3645971 + ], + [ + 48507233, + 47661146 + ], + [ + 84437442, + 16080187 + ], + [ + 61217067, + 91057982 + ], + [ + 37495168, + 31641132 + ], + [ + 4787139, + 78504407 + ], + [ + 77132523, + 14362364 + ], + [ + 64866752, + 10470471 + ], + [ + 43009680, + 88682472 + ], + [ + 21426059, + 19800527 + ], + [ + 90340918, + 3965927 + ], + [ + 70625875, + 94854838 + ], + [ + 52976996, + 17026598 + ], + [ + 60711934, + 33758895 + ], + [ + 13539678, + 24608335 + ], + [ + 37717259, + 49071871 + ], + [ + 82336213, + 34454143 + ], + [ + 95452067, + 15544417 + ], + [ + 96223859, + 81937943 + ], + [ + 11487095, + 16886221 + ], + [ + 81714301, + 32542420 + ], + [ + 69487894, + 47783859 + ], + [ + 1574366, + 47277772 + ], + [ + 19884021, + 28894589 + ], + [ + 98436517, + 70212667 + ], + [ + 68314240, + 59370282 + ], + [ + 57007999, + 46084848 + ], + [ + 75425200, + 68178495 + ], + [ + 2948192, + 55481333 + ], + [ + 8241230, + 45707280 + ], + [ + 26638628, + 68597658 + ], + [ + 24145489, + 7272523 + ], + [ + 30130558, + 20027605 + ], + [ + 12423783, + 24048557 + ], + [ + 58221269, + 44417242 + ], + [ + 98967459, + 22254881 + ], + [ + 73123323, + 81781618 + ], + [ + 77081824, + 37196645 + ], + [ + 27604493, + 94925556 + ], + [ + 89882399, + 68626781 + ], + [ + 41668440, + 14701836 + ], + [ + 24505666, + 38715378 + ], + [ + 56314404, + 37441135 + ], + [ + 17690827, + 81121813 + ], + [ + 8891938, + 84659484 + ], + [ + 7294894, + 85982734 + ], + [ + 17515177, + 23971611 + ], + [ + 3459951, + 53334756 + ], + [ + 89614998, + 40524104 + ], + [ + 52842955, + 56237139 + ], + [ + 4565982, + 482919 + ], + [ + 20508317, + 71216401 + ], + [ + 15006687, + 41323058 + ], + [ + 42064880, + 74769916 + ], + [ + 74237961, + 29352379 + ], + [ + 44659345, + 2109758 + ], + [ + 71442108, + 93022240 + ], + [ + 37385011, + 96963154 + ], + [ + 3465404, + 46697670 + ], + [ + 57002014, + 77809909 + ], + [ + 18886362, + 10671276 + ], + [ + 27811876, + 3359570 + ], + [ + 19435451, + 67406541 + ], + [ + 12732075, + 89725333 + ], + [ + 95619745, + 61009962 + ], + [ + 70675946, + 63778378 + ], + [ + 55166002, + 79772380 + ], + [ + 3026899, + 14190066 + ], + [ + 20001883, + 78616793 + ], + [ + 94337485, + 40167081 + ], + [ + 3566003, + 50950322 + ], + [ + 73562089, + 22594870 + ], + [ + 78965344, + 85984644 + ], + [ + 94143655, + 37816629 + ], + [ + 27779605, + 26278763 + ], + [ + 57414748, + 35177360 + ], + [ + 17375619, + 75204661 + ], + [ + 67107218, + 90602102 + ], + [ + 89546087, + 42395476 + ], + [ + 3250806, + 86797378 + ], + [ + 92432832, + 49240113 + ], + [ + 86015197, + 20717079 + ], + [ + 68468904, + 73161014 + ], + [ + 29784324, + 87599795 + ], + [ + 47210109, + 74182651 + ], + [ + 67672255, + 15522198 + ], + [ + 53010072, + 64154401 + ], + [ + 69546932, + 40085123 + ], + [ + 10610830, + 77770004 + ], + [ + 78728469, + 28601634 + ], + [ + 46743784, + 13797792 + ], + [ + 15560501, + 6272380 + ], + [ + 35757693, + 32005830 + ], + [ + 51179519, + 55058947 + ], + [ + 11658850, + 10938042 + ], + [ + 7397733, + 90390869 + ], + [ + 83369475, + 84125475 + ], + [ + 55521108, + 32933529 + ], + [ + 28555244, + 88483728 + ], + [ + 7536574, + 16270171 + ], + [ + 44909652, + 53607758 + ], + [ + 61069163, + 79217850 + ], + [ + 88656910, + 57175942 + ], + [ + 4992563, + 23589032 + ], + [ + 53256288, + 50227592 + ], + [ + 44348349, + 63981185 + ], + [ + 86963585, + 57138206 + ], + [ + 46705532, + 57139059 + ], + [ + 418556, + 44785258 + ], + [ + 13786176, + 22392412 + ], + [ + 64067123, + 26944749 + ], + [ + 24495927, + 18965761 + ], + [ + 88313612, + 86221516 + ], + [ + 55290549, + 8235910 + ], + [ + 78653295, + 73353821 + ], + [ + 18044499, + 22809742 + ], + [ + 73545000, + 92651559 + ], + [ + 78358253, + 76776552 + ], + [ + 90495859, + 7048239 + ], + [ + 85424088, + 70966532 + ], + [ + 20234234, + 52238100 + ], + [ + 97844023, + 25763292 + ], + [ + 75485420, + 65659464 + ], + [ + 1784612, + 26030256 + ], + [ + 90263661, + 54804651 + ], + [ + 78733367, + 71388598 + ], + [ + 19982160, + 56893649 + ], + [ + 50915804, + 56675758 + ], + [ + 6676755, + 85194494 + ], + [ + 74509717, + 33140729 + ], + [ + 59726294, + 91214477 + ], + [ + 30860241, + 82008348 + ], + [ + 95319777, + 26359120 + ], + [ + 89942418, + 33721110 + ], + [ + 27205522, + 36559008 + ], + [ + 49578650, + 78051024 + ], + [ + 64152730, + 43527853 + ], + [ + 17428486, + 59108162 + ], + [ + 5014923, + 38902535 + ], + [ + 58459165, + 49551400 + ], + [ + 98891884, + 12892679 + ], + [ + 16206296, + 64243301 + ], + [ + 13356958, + 60229388 + ], + [ + 54931383, + 1199779 + ], + [ + 45035211, + 93914073 + ], + [ + 22076641, + 89904319 + ], + [ + 64128985, + 66291003 + ], + [ + 16236586, + 43773953 + ], + [ + 27478602, + 46082698 + ], + [ + 81552705, + 99472610 + ], + [ + 49928592, + 81555668 + ], + [ + 48984822, + 77725441 + ], + [ + 79138886, + 922505 + ], + [ + 88314868, + 12372362 + ], + [ + 46524576, + 68797240 + ], + [ + 36017955, + 98930067 + ], + [ + 24348775, + 45138070 + ], + [ + 95898294, + 69586000 + ], + [ + 68855051, + 16003893 + ], + [ + 97493586, + 46111276 + ], + [ + 8597467, + 56175129 + ], + [ + 64131719, + 93523296 + ], + [ + 23909300, + 83150331 + ], + [ + 46671307, + 70462362 + ], + [ + 66186803, + 92831693 + ], + [ + 71622792, + 51441697 + ], + [ + 51307763, + 28994158 + ], + [ + 92607783, + 24046561 + ], + [ + 98754012, + 35534606 + ], + [ + 26741944, + 21444113 + ], + [ + 33279553, + 72841032 + ], + [ + 47401494, + 39839026 + ], + [ + 64312340, + 31012430 + ], + [ + 82307991, + 11370846 + ], + [ + 38222405, + 14666227 + ], + [ + 94966026, + 26014313 + ], + [ + 92014625, + 40917834 + ], + [ + 37300190, + 44466024 + ], + [ + 80595509, + 1197076 + ], + [ + 13553782, + 81390881 + ], + [ + 21916115, + 71420185 + ], + [ + 41107625, + 37194042 + ], + [ + 85410021, + 91601147 + ], + [ + 39183981, + 27786984 + ], + [ + 99916243, + 75917408 + ], + [ + 71149209, + 35574453 + ], + [ + 74700205, + 16719444 + ], + [ + 87410908, + 43707995 + ], + [ + 92731113, + 48431396 + ], + [ + 43110047, + 64667614 + ], + [ + 77585283, + 3548224 + ], + [ + 60613461, + 3394991 + ], + [ + 63333868, + 19279399 + ], + [ + 20545402, + 6941397 + ], + [ + 93073967, + 42932624 + ], + [ + 40059423, + 84032950 + ], + [ + 73798924, + 76394380 + ], + [ + 71348090, + 21753095 + ], + [ + 77933420, + 41907584 + ], + [ + 48762152, + 86505344 + ], + [ + 60368059, + 26263746 + ], + [ + 14809125, + 17462929 + ], + [ + 82781303, + 81282776 + ], + [ + 98843258, + 93062983 + ], + [ + 43739977, + 89899061 + ], + [ + 86330486, + 84280780 + ], + [ + 38586277, + 57196165 + ], + [ + 58390376, + 29106382 + ], + [ + 5266665, + 52018991 + ], + [ + 63756671, + 53485319 + ], + [ + 31549561, + 35866948 + ], + [ + 59990283, + 41714308 + ], + [ + 53329849, + 29419295 + ], + [ + 8680295, + 83586201 + ], + [ + 23075333, + 94554497 + ], + [ + 71556696, + 65453172 + ], + [ + 94540276, + 54300031 + ], + [ + 72058178, + 4326031 + ], + [ + 25306937, + 68467193 + ], + [ + 82154603, + 85582821 + ], + [ + 36690751, + 29556275 + ], + [ + 31914339, + 28559350 + ], + [ + 59982383, + 1142917 + ], + [ + 20852477, + 46436532 + ], + [ + 15067008, + 80744890 + ], + [ + 61497184, + 5582681 + ], + [ + 92098926, + 41403447 + ], + [ + 1396536, + 63463380 + ], + [ + 91390934, + 85124361 + ], + [ + 76618528, + 8474559 + ], + [ + 26777682, + 27620930 + ], + [ + 96893878, + 50285143 + ], + [ + 63351990, + 8847284 + ], + [ + 61111022, + 56196871 + ], + [ + 59101700, + 72031926 + ], + [ + 24304708, + 87530130 + ], + [ + 57761870, + 73578780 + ], + [ + 64816926, + 33195322 + ], + [ + 23518207, + 9561140 + ], + [ + 55951654, + 29488636 + ], + [ + 83343641, + 78660511 + ], + [ + 95316798, + 51320824 + ], + [ + 68760271, + 60270977 + ], + [ + 54104511, + 23417751 + ], + [ + 97420196, + 11912456 + ], + [ + 60369491, + 92655986 + ], + [ + 32258862, + 97648670 + ], + [ + 91702402, + 3128754 + ], + [ + 48258711, + 40988373 + ], + [ + 7111202, + 97556614 + ], + [ + 49703669, + 32806238 + ], + [ + 49277962, + 70461310 + ], + [ + 80062772, + 34906937 + ], + [ + 61042040, + 84675594 + ], + [ + 85100710, + 44604513 + ], + [ + 93230199, + 9682477 + ], + [ + 45006677, + 69105584 + ], + [ + 70998076, + 15100562 + ], + [ + 33989874, + 73821642 + ], + [ + 70928390, + 70123069 + ], + [ + 27298480, + 92310324 + ], + [ + 19655113, + 98657823 + ], + [ + 91488612, + 97024655 + ], + [ + 86642074, + 25124322 + ], + [ + 33646288, + 99335530 + ], + [ + 13037149, + 84520065 + ], + [ + 38251412, + 13015228 + ], + [ + 2130269, + 85711445 + ], + [ + 93462360, + 430326 + ], + [ + 19206184, + 53618578 + ], + [ + 78814410, + 8771558 + ], + [ + 28320707, + 63766939 + ], + [ + 46756910, + 99703100 + ], + [ + 6287799, + 92123543 + ], + [ + 44015875, + 47074236 + ], + [ + 97787220, + 86858894 + ], + [ + 51234355, + 92549528 + ], + [ + 2815316, + 93122736 + ], + [ + 63869199, + 20887421 + ], + [ + 99283686, + 65989182 + ], + [ + 69113578, + 99014079 + ], + [ + 30305520, + 34274789 + ], + [ + 80291485, + 8216143 + ], + [ + 18370672, + 48121940 + ], + [ + 30128081, + 94013322 + ], + [ + 5799566, + 28150413 + ], + [ + 89063957, + 10618210 + ], + [ + 53154926, + 16725867 + ], + [ + 73083375, + 10527299 + ], + [ + 14415510, + 92036147 + ], + [ + 45758877, + 97816553 + ], + [ + 37935738, + 44405399 + ], + [ + 25410315, + 47357801 + ], + [ + 57267618, + 37604380 + ], + [ + 4050557, + 49316696 + ], + [ + 22826936, + 25107792 + ], + [ + 41168988, + 47545694 + ], + [ + 98422949, + 61800774 + ], + [ + 36238642, + 44696290 + ], + [ + 21561349, + 4041410 + ], + [ + 72749791, + 35594647 + ], + [ + 75677561, + 66127074 + ], + [ + 37687179, + 42282139 + ], + [ + 93648351, + 4810515 + ], + [ + 70316754, + 72981687 + ], + [ + 63781442, + 79653528 + ], + [ + 69685910, + 48866691 + ], + [ + 72356060, + 50255465 + ], + [ + 28554353, + 54908826 + ], + [ + 95666803, + 82523008 + ], + [ + 92317267, + 43762226 + ], + [ + 13993516, + 49130753 + ], + [ + 45771320, + 71953562 + ], + [ + 38973222, + 3958678 + ], + [ + 90882245, + 34287859 + ], + [ + 8883669, + 55115468 + ], + [ + 68208723, + 2239729 + ], + [ + 18042804, + 72329511 + ], + [ + 51366783, + 3387843 + ], + [ + 89680280, + 11633687 + ], + [ + 51723065, + 4456331 + ], + [ + 15459328, + 70398761 + ], + [ + 91712183, + 28192 + ], + [ + 40673102, + 35901320 + ], + [ + 96463654, + 27383259 + ], + [ + 25215846, + 57982724 + ], + [ + 37157109, + 56700350 + ], + [ + 52556631, + 84501825 + ], + [ + 66476536, + 48634674 + ], + [ + 45712651, + 37067332 + ], + [ + 22311665, + 36563816 + ], + [ + 40090481, + 24448233 + ], + [ + 94917807, + 47243499 + ], + [ + 22625475, + 69622994 + ], + [ + 28552234, + 63623883 + ], + [ + 26815923, + 97587771 + ], + [ + 84647606, + 13242465 + ], + [ + 43845450, + 15636825 + ], + [ + 12131424, + 50402661 + ], + [ + 73109884, + 55114053 + ], + [ + 51223146, + 47344616 + ], + [ + 29431177, + 34711393 + ], + [ + 75985558, + 40415536 + ], + [ + 32508602, + 24397515 + ], + [ + 25648560, + 95850100 + ], + [ + 65128832, + 47648155 + ], + [ + 18393576, + 98732180 + ], + [ + 13679810, + 74239626 + ], + [ + 85483678, + 72404982 + ], + [ + 16422054, + 83304884 + ], + [ + 88868494, + 48310710 + ], + [ + 54410644, + 91243938 + ], + [ + 52341860, + 4915464 + ], + [ + 61794873, + 88874049 + ], + [ + 31805071, + 99745813 + ], + [ + 27437442, + 74909464 + ], + [ + 99711090, + 85118856 + ], + [ + 71864266, + 86172323 + ], + [ + 60907033, + 64029949 + ], + [ + 55592691, + 73303136 + ], + [ + 55516052, + 20863966 + ], + [ + 43717610, + 15097063 + ], + [ + 69823302, + 71398613 + ], + [ + 77153980, + 33864755 + ], + [ + 78996758, + 25692268 + ], + [ + 83178331, + 2534475 + ], + [ + 97339240, + 64802888 + ], + [ + 47708659, + 68375946 + ], + [ + 68849591, + 25831015 + ], + [ + 89047593, + 98401516 + ], + [ + 19276645, + 80270588 + ], + [ + 46560887, + 27343622 + ], + [ + 29035148, + 92353961 + ], + [ + 87023066, + 74080228 + ], + [ + 44974368, + 88736401 + ], + [ + 89063769, + 88820939 + ], + [ + 76782369, + 92161254 + ], + [ + 61485208, + 14253643 + ], + [ + 3059913, + 84940525 + ], + [ + 58233961, + 29929841 + ], + [ + 54113056, + 70988321 + ], + [ + 53078830, + 57153690 + ], + [ + 8991001, + 73119035 + ], + [ + 25481107, + 20831050 + ], + [ + 83448037, + 72194730 + ], + [ + 44306760, + 55853490 + ], + [ + 78091985, + 27700722 + ], + [ + 7860502, + 81450038 + ], + [ + 29913255, + 82324229 + ], + [ + 41149732, + 74699052 + ], + [ + 58371508, + 97069042 + ], + [ + 69286646, + 68759049 + ], + [ + 56087190, + 25659452 + ], + [ + 11126697, + 2735609 + ], + [ + 28505593, + 88309609 + ], + [ + 59397976, + 30401507 + ], + [ + 67982688, + 18226342 + ], + [ + 48986371, + 49222665 + ], + [ + 22027846, + 2680107 + ], + [ + 30525318, + 35201803 + ], + [ + 46314688, + 29350579 + ], + [ + 48082280, + 68614459 + ], + [ + 86819704, + 22338529 + ], + [ + 77504852, + 22548823 + ], + [ + 10530415, + 61304783 + ], + [ + 24981079, + 80262006 + ], + [ + 2191132, + 45135330 + ], + [ + 13239536, + 11680383 + ], + [ + 21144503, + 88959418 + ], + [ + 33329239, + 14193231 + ], + [ + 79166681, + 295302 + ], + [ + 96444145, + 48073287 + ], + [ + 48257164, + 51665241 + ], + [ + 43018326, + 84027404 + ], + [ + 34230453, + 87546621 + ], + [ + 89660832, + 46754697 + ], + [ + 26004856, + 26278821 + ], + [ + 68319235, + 93061933 + ], + [ + 29034919, + 22846768 + ], + [ + 4094628, + 78154646 + ], + [ + 38345316, + 32083397 + ], + [ + 49006372, + 94989975 + ], + [ + 81410348, + 61141364 + ], + [ + 84224062, + 86840285 + ], + [ + 88566521, + 29213827 + ], + [ + 22970394, + 72458441 + ], + [ + 17325706, + 88983302 + ], + [ + 79576175, + 13921704 + ], + [ + 61659019, + 57606999 + ], + [ + 40225242, + 43945505 + ], + [ + 74813058, + 82893471 + ], + [ + 5389679, + 72460951 + ], + [ + 32739326, + 27283290 + ], + [ + 29119817, + 1925279 + ], + [ + 73739882, + 25471838 + ], + [ + 50796917, + 99038765 + ], + [ + 84495605, + 65669940 + ], + [ + 46326779, + 74215716 + ], + [ + 58707515, + 17690062 + ], + [ + 99429135, + 47802944 + ], + [ + 66930931, + 6642872 + ], + [ + 3867328, + 65957477 + ], + [ + 58203464, + 5831873 + ], + [ + 34551268, + 92065812 + ], + [ + 69347114, + 9510785 + ], + [ + 65145502, + 5440537 + ], + [ + 88445293, + 35687301 + ], + [ + 78351905, + 84823126 + ], + [ + 39597264, + 78175340 + ], + [ + 12018399, + 76276203 + ], + [ + 43613668, + 45817767 + ], + [ + 89727670, + 62980751 + ], + [ + 9758988, + 78798422 + ], + [ + 35297741, + 86966422 + ], + [ + 41366132, + 3260251 + ], + [ + 31370721, + 2320522 + ], + [ + 33224838, + 77822050 + ], + [ + 13916287, + 72108667 + ], + [ + 8415776, + 94050664 + ], + [ + 35302724, + 19474019 + ], + [ + 69129414, + 52919346 + ], + [ + 88311115, + 48554657 + ], + [ + 99789840, + 67817331 + ], + [ + 95131253, + 84672244 + ], + [ + 6938541, + 44316671 + ], + [ + 81523081, + 73578160 + ], + [ + 43878286, + 35476237 + ], + [ + 46222109, + 11982621 + ], + [ + 63365312, + 51511883 + ], + [ + 47957510, + 22794799 + ], + [ + 6697035, + 47320208 + ], + [ + 93724626, + 81335606 + ], + [ + 1884433, + 20311864 + ], + [ + 95101436, + 68805095 + ], + [ + 69077403, + 1639004 + ], + [ + 27708665, + 60958382 + ], + [ + 15750821, + 5102948 + ], + [ + 26050759, + 55436741 + ], + [ + 41609280, + 17424117 + ], + [ + 32074323, + 20289653 + ], + [ + 76015173, + 71319473 + ], + [ + 86579443, + 44856498 + ], + [ + 90927774, + 4580193 + ], + [ + 85617737, + 85802796 + ], + [ + 48529958, + 6138113 + ], + [ + 24162601, + 31950602 + ], + [ + 11255285, + 87180831 + ], + [ + 80808316, + 86878205 + ], + [ + 3544314, + 91170231 + ], + [ + 35261930, + 74506628 + ], + [ + 57233534, + 92579630 + ], + [ + 53229263, + 37385978 + ], + [ + 66123760, + 13956294 + ], + [ + 87555136, + 58977348 + ], + [ + 99185490, + 88231194 + ], + [ + 47126815, + 26849057 + ], + [ + 40520979, + 21519270 + ], + [ + 48751927, + 49744741 + ], + [ + 5296248, + 62428302 + ], + [ + 46460492, + 64670533 + ], + [ + 9505450, + 95646927 + ], + [ + 74748606, + 39434583 + ], + [ + 23832537, + 28008301 + ], + [ + 39439786, + 34158751 + ], + [ + 78705837, + 90679592 + ], + [ + 76073321, + 47068058 + ], + [ + 87159615, + 12507487 + ], + [ + 45104777, + 44264796 + ], + [ + 96161881, + 11383554 + ], + [ + 7716095, + 43790655 + ], + [ + 73973512, + 16668844 + ], + [ + 92318255, + 92270204 + ], + [ + 12277879, + 81510530 + ], + [ + 41269267, + 60371172 + ], + [ + 21022217, + 19608503 + ], + [ + 23289316, + 11640408 + ], + [ + 43225532, + 85175840 + ], + [ + 68077604, + 90251041 + ], + [ + 21758470, + 3538931 + ], + [ + 59196305, + 71546451 + ], + [ + 26991479, + 94199475 + ], + [ + 54606217, + 49010854 + ], + [ + 14162925, + 9056657 + ], + [ + 93545460, + 52428017 + ], + [ + 97701173, + 56773385 + ], + [ + 62310977, + 36977574 + ], + [ + 85267002, + 92800225 + ], + [ + 14066123, + 32991594 + ], + [ + 15814194, + 85897728 + ], + [ + 91851339, + 67944831 + ], + [ + 68553990, + 55074383 + ], + [ + 71861896, + 82133197 + ], + [ + 28135583, + 11822029 + ], + [ + 33662220, + 96540596 + ], + [ + 90862358, + 62376465 + ], + [ + 19170816, + 30679099 + ], + [ + 60850430, + 69164087 + ], + [ + 18769436, + 69997037 + ], + [ + 12566012, + 29341973 + ], + [ + 94765975, + 39320041 + ], + [ + 24684752, + 26950933 + ], + [ + 82412639, + 89519069 + ], + [ + 15106933, + 41407922 + ], + [ + 10943800, + 89507027 + ], + [ + 47679688, + 88515649 + ], + [ + 46346255, + 80985069 + ], + [ + 68245161, + 1956019 + ], + [ + 41377953, + 70972883 + ], + [ + 83206212, + 94552223 + ], + [ + 95105192, + 46347021 + ], + [ + 62294305, + 71566521 + ], + [ + 99471005, + 80773277 + ], + [ + 37652926, + 64894393 + ], + [ + 87778195, + 50269802 + ], + [ + 55997708, + 54924865 + ], + [ + 18967214, + 41649724 + ], + [ + 26902904, + 88056592 + ], + [ + 65245454, + 93282171 + ], + [ + 10553727, + 86085440 + ], + [ + 51745575, + 95119900 + ], + [ + 58447586, + 90727327 + ], + [ + 43660802, + 13442100 + ], + [ + 50970785, + 43641709 + ], + [ + 31834424, + 60776827 + ], + [ + 60473281, + 2592411 + ], + [ + 61997705, + 74816580 + ], + [ + 12505336, + 50187483 + ], + [ + 94943535, + 39366306 + ], + [ + 9200115, + 57714747 + ], + [ + 18094601, + 7035016 + ], + [ + 53351230, + 88052978 + ], + [ + 83406955, + 86104094 + ], + [ + 45090952, + 69120760 + ], + [ + 15151482, + 25567190 + ], + [ + 21859926, + 38394809 + ], + [ + 14009488, + 47490669 + ], + [ + 76943323, + 36639669 + ], + [ + 65865967, + 69359929 + ], + [ + 97248120, + 39834501 + ], + [ + 99626149, + 74672022 + ], + [ + 93094557, + 45136741 + ], + [ + 79619004, + 50017084 + ], + [ + 51320446, + 73891540 + ], + [ + 66710966, + 24783397 + ], + [ + 45639868, + 66623744 + ], + [ + 62322135, + 17739552 + ], + [ + 94880966, + 77372517 + ], + [ + 1323660, + 54147767 + ], + [ + 7309551, + 96745887 + ], + [ + 9406737, + 86773113 + ], + [ + 97758240, + 64097980 + ], + [ + 30346540, + 49344167 + ], + [ + 10552143, + 44941436 + ], + [ + 76094603, + 71793283 + ], + [ + 73615086, + 95480680 + ], + [ + 6040053, + 57734144 + ], + [ + 92205089, + 30251835 + ], + [ + 96449542, + 42597215 + ], + [ + 43693257, + 4378742 + ], + [ + 68811919, + 16915566 + ], + [ + 84664605, + 99538349 + ], + [ + 71947680, + 83793313 + ], + [ + 31507531, + 22696385 + ], + [ + 77489875, + 38644088 + ], + [ + 10829778, + 71519309 + ], + [ + 95589939, + 12624207 + ], + [ + 33453565, + 77389632 + ], + [ + 60433280, + 10602164 + ], + [ + 4488935, + 78734611 + ], + [ + 66533125, + 32028581 + ], + [ + 54833084, + 17113399 + ], + [ + 37170793, + 5284047 + ], + [ + 38497191, + 45467187 + ], + [ + 12645847, + 90307838 + ], + [ + 44079921, + 22512052 + ], + [ + 37680097, + 9561102 + ], + [ + 9493043, + 28248062 + ], + [ + 95707513, + 80148622 + ], + [ + 2685687, + 53436782 + ], + [ + 96336797, + 37409659 + ], + [ + 29391091, + 20367252 + ], + [ + 51837817, + 26972141 + ], + [ + 33156177, + 42974785 + ], + [ + 62467216, + 50533987 + ], + [ + 18952421, + 64583929 + ], + [ + 43249638, + 66361862 + ], + [ + 35377522, + 62188851 + ], + [ + 6476917, + 62772789 + ], + [ + 255556, + 33959095 + ], + [ + 98472180, + 58458002 + ], + [ + 20175104, + 22888297 + ], + [ + 13856484, + 60271785 + ], + [ + 59539408, + 13804987 + ], + [ + 19431645, + 38733677 + ], + [ + 97285144, + 97148875 + ], + [ + 20622976, + 16512590 + ], + [ + 80169478, + 15564341 + ], + [ + 25132796, + 69553660 + ], + [ + 85140749, + 68859777 + ], + [ + 95448110, + 25574656 + ], + [ + 21709822, + 92682468 + ], + [ + 12300858, + 23795844 + ], + [ + 29178993, + 1992350 + ], + [ + 78753093, + 37228314 + ], + [ + 62832481, + 63471349 + ], + [ + 21421784, + 12083475 + ], + [ + 66200042, + 77207696 + ], + [ + 3871602, + 47590870 + ], + [ + 13513809, + 11028783 + ], + [ + 26712151, + 73437076 + ], + [ + 26996254, + 16329143 + ], + [ + 86604004, + 56559926 + ], + [ + 29520046, + 65166239 + ], + [ + 35077473, + 36942345 + ], + [ + 94498849, + 22660395 + ], + [ + 30089420, + 26515156 + ], + [ + 45533179, + 45157921 + ], + [ + 23066953, + 68498347 + ], + [ + 90583395, + 71725484 + ], + [ + 51850742, + 55180844 + ], + [ + 44309019, + 56614776 + ], + [ + 7447455, + 99750520 + ], + [ + 75668109, + 67889867 + ], + [ + 32606253, + 55650499 + ], + [ + 69967822, + 22831000 + ], + [ + 10903808, + 71405889 + ], + [ + 14364706, + 35265687 + ], + [ + 18781687, + 73630013 + ], + [ + 85468313, + 2903951 + ], + [ + 66040566, + 59828624 + ], + [ + 83339666, + 84894434 + ], + [ + 87935957, + 26616391 + ], + [ + 28106112, + 16243720 + ], + [ + 89446814, + 29825703 + ], + [ + 16738017, + 46439819 + ], + [ + 60200086, + 5714094 + ], + [ + 44222555, + 64035506 + ], + [ + 49543632, + 21958340 + ], + [ + 25891111, + 83556153 + ], + [ + 3963639, + 93232016 + ], + [ + 87311797, + 62974614 + ], + [ + 73591122, + 69881639 + ], + [ + 23552571, + 95093417 + ], + [ + 33992386, + 78962648 + ], + [ + 26931588, + 69798264 + ], + [ + 61384206, + 77655000 + ], + [ + 26386029, + 50953005 + ], + [ + 93381257, + 32125474 + ], + [ + 98347324, + 74521469 + ], + [ + 59717210, + 11209149 + ], + [ + 46823809, + 18984029 + ], + [ + 35007589, + 18947347 + ], + [ + 20677848, + 18356395 + ], + [ + 40839890, + 6989505 + ], + [ + 40775714, + 32488059 + ], + [ + 34808239, + 37649464 + ], + [ + 38148803, + 20105114 + ], + [ + 1775263, + 97082101 + ], + [ + 42489154, + 11203980 + ], + [ + 32964266, + 80707302 + ], + [ + 26257715, + 46881411 + ], + [ + 3455075, + 70135807 + ], + [ + 67622729, + 58442899 + ], + [ + 75342848, + 97258837 + ], + [ + 29641372, + 94666632 + ], + [ + 59270394, + 93980615 + ], + [ + 98056788, + 27599694 + ], + [ + 55370273, + 31354779 + ], + [ + 86440227, + 5107057 + ], + [ + 7363275, + 93652565 + ], + [ + 8050114, + 56398633 + ], + [ + 86828878, + 31136780 + ], + [ + 66581573, + 56614617 + ], + [ + 10901386, + 25910949 + ], + [ + 59025215, + 26518471 + ], + [ + 43966276, + 37610317 + ], + [ + 84813027, + 61940730 + ], + [ + 5735758, + 23911046 + ], + [ + 97661195, + 74996301 + ], + [ + 96423998, + 17416863 + ], + [ + 89590401, + 69255751 + ], + [ + 25211616, + 41212342 + ], + [ + 13482741, + 41374330 + ], + [ + 86222473, + 10407651 + ], + [ + 4621447, + 40586492 + ], + [ + 54129675, + 57236271 + ], + [ + 71489176, + 61271640 + ], + [ + 23940836, + 77961836 + ], + [ + 72570786, + 21159553 + ], + [ + 14083218, + 58040943 + ], + [ + 64237532, + 41605079 + ], + [ + 70530165, + 10012115 + ], + [ + 35126237, + 25166903 + ], + [ + 53581002, + 91955397 + ], + [ + 66428711, + 67607913 + ], + [ + 45741665, + 63573515 + ], + [ + 24090224, + 97177772 + ], + [ + 32996601, + 4239317 + ], + [ + 53845559, + 21995687 + ], + [ + 99518495, + 54866178 + ], + [ + 49576113, + 71203626 + ], + [ + 33335575, + 45754856 + ], + [ + 80635818, + 54298928 + ], + [ + 18509207, + 98962020 + ], + [ + 52891496, + 48925137 + ], + [ + 74411631, + 8779653 + ], + [ + 95377145, + 22600294 + ], + [ + 76456860, + 14189077 + ], + [ + 23443143, + 57709871 + ], + [ + 33574790, + 11550765 + ], + [ + 60585723, + 14022325 + ], + [ + 62805667, + 82824391 + ], + [ + 15707747, + 97115794 + ], + [ + 92829001, + 44606034 + ], + [ + 58963651, + 97626950 + ], + [ + 88739104, + 93348843 + ], + [ + 77719178, + 96534639 + ], + [ + 48122957, + 22431064 + ], + [ + 38087718, + 62021291 + ], + [ + 49545316, + 48688111 + ], + [ + 25647998, + 47067392 + ], + [ + 49771948, + 3549978 + ], + [ + 35338327, + 73217693 + ], + [ + 82496214, + 39201863 + ], + [ + 58607642, + 79443093 + ], + [ + 89143136, + 27709717 + ], + [ + 32626736, + 29811088 + ], + [ + 85020793, + 55974045 + ], + [ + 5500341, + 68998102 + ], + [ + 52351338, + 37726463 + ], + [ + 17831522, + 87635678 + ], + [ + 83797594, + 10540430 + ], + [ + 72629665, + 86455250 + ], + [ + 73152091, + 76859644 + ], + [ + 50511848, + 26598334 + ], + [ + 94815117, + 95620452 + ], + [ + 62262799, + 16998209 + ], + [ + 31947291, + 15520513 + ], + [ + 54904324, + 65612703 + ], + [ + 65981118, + 52805484 + ], + [ + 73413807, + 67641240 + ], + [ + 95736504, + 51405206 + ], + [ + 19013699, + 68435249 + ], + [ + 65002654, + 72583855 + ], + [ + 64187101, + 46204520 + ], + [ + 55904449, + 31519182 + ], + [ + 51217400, + 44745950 + ], + [ + 90699678, + 25672186 + ], + [ + 62046618, + 42822818 + ], + [ + 51533267, + 97027322 + ], + [ + 25281768, + 95036697 + ], + [ + 61163400, + 44310395 + ], + [ + 71357230, + 64153921 + ], + [ + 13255292, + 62904743 + ], + [ + 6053060, + 67319817 + ], + [ + 27839408, + 60243278 + ], + [ + 84518685, + 63362088 + ], + [ + 56649013, + 99011871 + ], + [ + 11201361, + 16910011 + ], + [ + 43568413, + 1870007 + ], + [ + 14500172, + 81004632 + ], + [ + 81334935, + 87022026 + ], + [ + 24776052, + 48281537 + ], + [ + 56826634, + 21807750 + ], + [ + 98193687, + 25119498 + ], + [ + 20300090, + 42661875 + ], + [ + 8521977, + 55404840 + ], + [ + 96882088, + 35100531 + ], + [ + 59333500, + 17997325 + ], + [ + 33437385, + 56565191 + ], + [ + 1703828, + 36387759 + ], + [ + 94069750, + 60360337 + ], + [ + 95317825, + 42557913 + ], + [ + 63982433, + 49768892 + ], + [ + 18413534, + 24092761 + ], + [ + 89603307, + 85469857 + ], + [ + 5174431, + 31338321 + ], + [ + 69822626, + 57464336 + ], + [ + 79583943, + 44211192 + ], + [ + 82684422, + 91131414 + ], + [ + 15427588, + 44113939 + ], + [ + 41690305, + 82646692 + ], + [ + 21617015, + 88625662 + ], + [ + 53520947, + 80404259 + ], + [ + 53265985, + 62160823 + ], + [ + 79359623, + 22432931 + ], + [ + 40492129, + 92311322 + ], + [ + 6335539, + 2622629 + ], + [ + 93722608, + 3568224 + ], + [ + 93964663, + 57953210 + ], + [ + 35019473, + 94408560 + ], + [ + 38897604, + 44407714 + ], + [ + 3994378, + 88888652 + ], + [ + 93638088, + 8529963 + ], + [ + 55606691, + 87120662 + ], + [ + 56993836, + 86767386 + ], + [ + 29480372, + 81685331 + ], + [ + 50592543, + 95453231 + ], + [ + 76479022, + 10972734 + ], + [ + 60749047, + 44171789 + ], + [ + 76107770, + 52204479 + ], + [ + 11466488, + 71980506 + ], + [ + 31011695, + 86249468 + ], + [ + 63730054, + 2477528 + ], + [ + 30762211, + 49671030 + ], + [ + 43262131, + 52442060 + ], + [ + 78489249, + 14697024 + ], + [ + 2567173, + 15666650 + ], + [ + 95604760, + 27325250 + ], + [ + 69702294, + 48360529 + ], + [ + 38202391, + 88602885 + ], + [ + 55347704, + 50092336 + ], + [ + 1508465, + 98098748 + ], + [ + 16912478, + 12598546 + ], + [ + 35073250, + 13848654 + ], + [ + 19444016, + 1525179 + ], + [ + 30940296, + 21965076 + ], + [ + 98549060, + 70497824 + ], + [ + 10468262, + 67553112 + ], + [ + 28003032, + 45620534 + ], + [ + 8240124, + 27621667 + ], + [ + 58460298, + 28408926 + ], + [ + 9625536, + 43889212 + ], + [ + 41658063, + 54925168 + ], + [ + 82146792, + 94861783 + ], + [ + 86408280, + 31724572 + ], + [ + 33849714, + 12922848 + ], + [ + 83286401, + 63803246 + ], + [ + 43985418, + 1017314 + ], + [ + 21219311, + 5862546 + ], + [ + 55075778, + 30765998 + ], + [ + 90104174, + 23971181 + ], + [ + 61510905, + 76123102 + ], + [ + 44945149, + 90544217 + ], + [ + 9236486, + 39729886 + ], + [ + 97678431, + 22963095 + ], + [ + 24896390, + 62480528 + ], + [ + 48659882, + 32506188 + ], + [ + 67140633, + 88644753 + ], + [ + 52980484, + 83678765 + ], + [ + 52086079, + 297880 + ], + [ + 86478197, + 44568124 + ], + [ + 31082212, + 10137499 + ], + [ + 41529573, + 90805540 + ], + [ + 8254653, + 21162148 + ], + [ + 76268382, + 10498937 + ], + [ + 15265978, + 63979057 + ], + [ + 14318232, + 15778980 + ], + [ + 27377555, + 57295964 + ], + [ + 64909263, + 75251025 + ], + [ + 98760328, + 20313305 + ], + [ + 39669569, + 42520802 + ], + [ + 67532218, + 42483118 + ], + [ + 42573382, + 11814362 + ], + [ + 36267597, + 3939902 + ], + [ + 6916302, + 75643306 + ], + [ + 77476591, + 52120459 + ], + [ + 60615564, + 76467712 + ], + [ + 21754219, + 37468981 + ], + [ + 29778931, + 41496368 + ], + [ + 69612599, + 58090419 + ], + [ + 58052313, + 94701496 + ], + [ + 48838678, + 78524640 + ], + [ + 8748602, + 98912548 + ], + [ + 86745773, + 13878054 + ], + [ + 92182193, + 9000850 + ], + [ + 30388311, + 76630369 + ], + [ + 79622995, + 15257367 + ], + [ + 35432680, + 25352408 + ], + [ + 74776629, + 46035499 + ], + [ + 80893142, + 21377739 + ], + [ + 85426415, + 89530391 + ], + [ + 39843815, + 71170596 + ], + [ + 11570933, + 29571231 + ], + [ + 81627584, + 47673930 + ], + [ + 39099044, + 64693228 + ], + [ + 26609170, + 45492509 + ], + [ + 91178870, + 57759994 + ], + [ + 91566363, + 51784701 + ], + [ + 52775074, + 77935325 + ], + [ + 34733848, + 83916170 + ], + [ + 91481671, + 75269245 + ], + [ + 39562352, + 79747335 + ], + [ + 72756294, + 94774906 + ], + [ + 57173090, + 59161438 + ], + [ + 45141881, + 86346295 + ], + [ + 78001755, + 7725177 + ], + [ + 64217647, + 42016784 + ], + [ + 74076051, + 98895181 + ], + [ + 36371743, + 71782094 + ], + [ + 99232271, + 45497164 + ], + [ + 85856414, + 97187689 + ], + [ + 68058302, + 91059310 + ], + [ + 75480478, + 55185195 + ], + [ + 13412429, + 69490578 + ], + [ + 54819141, + 23442148 + ], + [ + 41589994, + 54822075 + ], + [ + 64352063, + 92484254 + ], + [ + 36900272, + 77856400 + ], + [ + 59567886, + 66010588 + ], + [ + 99834546, + 81448306 + ], + [ + 58338528, + 31142369 + ], + [ + 17314132, + 78457648 + ], + [ + 22671549, + 87609807 + ], + [ + 67738586, + 61128609 + ], + [ + 12222199, + 37715767 + ], + [ + 76691808, + 52015000 + ], + [ + 21792848, + 62354254 + ], + [ + 93955693, + 32140422 + ], + [ + 73869579, + 41327502 + ], + [ + 79545995, + 9857603 + ], + [ + 74953215, + 19387655 + ], + [ + 69658657, + 69802242 + ], + [ + 21711705, + 34076963 + ], + [ + 37315210, + 4086711 + ], + [ + 92317479, + 72321618 + ], + [ + 69938226, + 81365132 + ], + [ + 26652358, + 24320327 + ], + [ + 21026967, + 33093870 + ], + [ + 51228326, + 86487281 + ], + [ + 37413954, + 26468153 + ], + [ + 14432467, + 1438071 + ], + [ + 20761157, + 30699803 + ], + [ + 57657486, + 61033505 + ], + [ + 73400417, + 72858258 + ], + [ + 78046268, + 5264083 + ], + [ + 3065218, + 36208809 + ], + [ + 23921787, + 66290319 + ], + [ + 49234962, + 34720734 + ], + [ + 25142672, + 82427797 + ], + [ + 42049417, + 89514510 + ], + [ + 16425866, + 48608817 + ], + [ + 81903425, + 10088984 + ], + [ + 2315572, + 56440986 + ], + [ + 91605064, + 99729365 + ], + [ + 37271497, + 2326719 + ], + [ + 41178602, + 48761191 + ], + [ + 43796287, + 7551060 + ], + [ + 93487855, + 53917684 + ], + [ + 22191432, + 82629312 + ], + [ + 56962389, + 61022758 + ], + [ + 76898108, + 31242078 + ], + [ + 85215474, + 46682187 + ], + [ + 29152105, + 72121729 + ], + [ + 782986, + 46558974 + ], + [ + 32258893, + 10650928 + ], + [ + 94664518, + 65241214 + ], + [ + 31784014, + 66843055 + ], + [ + 71453708, + 80750298 + ], + [ + 78487581, + 48604267 + ], + [ + 96579438, + 76185328 + ], + [ + 59613747, + 75709394 + ], + [ + 73434654, + 14235022 + ], + [ + 57755819, + 53117881 + ], + [ + 12501126, + 38154129 + ], + [ + 45430814, + 97158957 + ], + [ + 73700508, + 38205431 + ], + [ + 13964285, + 44342044 + ], + [ + 27713828, + 71154471 + ], + [ + 54959572, + 8184738 + ], + [ + 79540206, + 81715549 + ], + [ + 89000801, + 35568806 + ], + [ + 52235378, + 51007500 + ], + [ + 30325055, + 68393239 + ], + [ + 74469119, + 21820678 + ], + [ + 81944050, + 86319554 + ], + [ + 44130826, + 220494 + ], + [ + 65976028, + 46616792 + ], + [ + 81422020, + 96332570 + ], + [ + 2738034, + 8762445 + ], + [ + 18709056, + 67529524 + ], + [ + 13939406, + 1739992 + ], + [ + 85964374, + 61566112 + ], + [ + 53759846, + 58405619 + ], + [ + 59273435, + 78147045 + ], + [ + 85155338, + 56267690 + ], + [ + 60135272, + 94941535 + ], + [ + 88948493, + 16108373 + ], + [ + 31225581, + 89272290 + ], + [ + 6194286, + 94491618 + ], + [ + 55611903, + 78863351 + ], + [ + 13610386, + 63440741 + ], + [ + 97596004, + 62854743 + ], + [ + 28657814, + 36757284 + ], + [ + 14824651, + 53485958 + ], + [ + 32682962, + 74377920 + ], + [ + 10721376, + 20333603 + ], + [ + 10861444, + 43767817 + ], + [ + 64451852, + 6849071 + ], + [ + 67932078, + 65564818 + ], + [ + 76670362, + 63562721 + ], + [ + 47007127, + 96583306 + ], + [ + 63676605, + 70775099 + ], + [ + 896554, + 39004056 + ], + [ + 91533577, + 65527046 + ], + [ + 16824007, + 59906966 + ], + [ + 37736669, + 42962934 + ], + [ + 11958032, + 35449795 + ], + [ + 44895353, + 66657190 + ], + [ + 4541681, + 22322053 + ], + [ + 92621091, + 35735061 + ], + [ + 34455539, + 63689588 + ], + [ + 95933381, + 232503 + ], + [ + 21151172, + 99308192 + ], + [ + 32292379, + 25513116 + ], + [ + 44206438, + 40526039 + ], + [ + 70980178, + 50605866 + ], + [ + 39973173, + 31901179 + ], + [ + 45265061, + 62835643 + ], + [ + 47533281, + 35590474 + ], + [ + 23186320, + 73390682 + ], + [ + 58638907, + 28711287 + ], + [ + 73955703, + 2121312 + ], + [ + 55959047, + 40247895 + ], + [ + 69754571, + 59762898 + ], + [ + 60396479, + 78598255 + ], + [ + 57481589, + 14928284 + ], + [ + 64167196, + 7979924 + ], + [ + 71135356, + 1560895 + ], + [ + 86416182, + 99636069 + ], + [ + 92874439, + 47565696 + ], + [ + 73371902, + 26124426 + ], + [ + 13014601, + 81301219 + ], + [ + 99852724, + 72205641 + ], + [ + 1793655, + 20528345 + ], + [ + 71694056, + 3641952 + ], + [ + 47730378, + 27742778 + ], + [ + 27102241, + 94647311 + ], + [ + 95020267, + 62047377 + ], + [ + 82754010, + 48886162 + ], + [ + 39312965, + 37855411 + ], + [ + 15838612, + 52798286 + ], + [ + 46549574, + 91471889 + ], + [ + 58763426, + 20109581 + ], + [ + 21974177, + 43511074 + ], + [ + 72728552, + 14225849 + ], + [ + 91829135, + 6358460 + ], + [ + 56104575, + 32825716 + ], + [ + 20237597, + 70009347 + ], + [ + 5982197, + 76699133 + ], + [ + 85694249, + 41068493 + ], + [ + 97001436, + 5712004 + ], + [ + 16802425, + 70149896 + ], + [ + 95579189, + 17555510 + ], + [ + 98436094, + 53733685 + ], + [ + 69427143, + 83076310 + ], + [ + 59686842, + 89243255 + ], + [ + 82973303, + 12600088 + ], + [ + 60725352, + 2767393 + ], + [ + 8242093, + 22735695 + ], + [ + 58732840, + 10141274 + ], + [ + 18650867, + 33759709 + ], + [ + 21619099, + 58307424 + ], + [ + 59193645, + 81424171 + ], + [ + 78469819, + 4624186 + ], + [ + 69290633, + 79357079 + ], + [ + 42417714, + 78064171 + ], + [ + 60136722, + 93209113 + ], + [ + 56879140, + 59071222 + ], + [ + 22629172, + 22553355 + ], + [ + 99208000, + 84638068 + ], + [ + 16186455, + 47156964 + ], + [ + 90934427, + 70787171 + ], + [ + 80242002, + 9276198 + ], + [ + 42509238, + 37486843 + ], + [ + 303661, + 53473313 + ], + [ + 29229947, + 24347186 + ], + [ + 66266135, + 74850068 + ], + [ + 4628516, + 4544940 + ], + [ + 67749793, + 65919200 + ], + [ + 72262594, + 16985015 + ], + [ + 49940152, + 73388480 + ], + [ + 13775851, + 26003725 + ], + [ + 61439814, + 57591453 + ], + [ + 90009261, + 45391761 + ], + [ + 66544879, + 32912991 + ], + [ + 39300303, + 42843951 + ], + [ + 43557092, + 2859464 + ], + [ + 27422226, + 35721860 + ], + [ + 52669485, + 23156331 + ], + [ + 50008636, + 44698234 + ], + [ + 57835827, + 94334824 + ], + [ + 62798647, + 13743335 + ], + [ + 74372295, + 93769692 + ], + [ + 57672634, + 85189174 + ], + [ + 72305972, + 9902612 + ], + [ + 59885952, + 48432134 + ], + [ + 53494042, + 9344556 + ], + [ + 44494567, + 59522976 + ], + [ + 95395871, + 54322451 + ], + [ + 99134524, + 46399974 + ], + [ + 67498072, + 67301688 + ], + [ + 11372452, + 86354545 + ], + [ + 75038705, + 41403809 + ], + [ + 5779677, + 56520989 + ], + [ + 78250660, + 75251254 + ], + [ + 37268558, + 1652259 + ], + [ + 69922358, + 82152023 + ], + [ + 17454936, + 35710001 + ], + [ + 92385428, + 12666593 + ], + [ + 25609837, + 87700228 + ], + [ + 37037667, + 97030157 + ], + [ + 29349155, + 80488475 + ], + [ + 86826177, + 28709771 + ], + [ + 55740470, + 82390230 + ], + [ + 77523360, + 15406339 + ], + [ + 3057882, + 40221102 + ], + [ + 9954846, + 69119175 + ], + [ + 82250938, + 10532506 + ], + [ + 82399057, + 60309124 + ], + [ + 19264006, + 12099888 + ], + [ + 60729985, + 76606573 + ], + [ + 16024011, + 98400147 + ], + [ + 85799789, + 88704986 + ], + [ + 89623063, + 93788824 + ], + [ + 22238510, + 24110508 + ], + [ + 31600676, + 1585429 + ], + [ + 38444523, + 61282824 + ], + [ + 23213594, + 31168306 + ], + [ + 93813813, + 70600941 + ], + [ + 33325015, + 30221000 + ], + [ + 98440421, + 64033560 + ], + [ + 8956334, + 37929513 + ], + [ + 22850871, + 1870642 + ], + [ + 34634641, + 77603901 + ], + [ + 79615907, + 24794607 + ], + [ + 49432723, + 76376035 + ], + [ + 73285330, + 59903770 + ], + [ + 59361823, + 12945443 + ], + [ + 77994867, + 97127808 + ], + [ + 41746130, + 17185252 + ], + [ + 54979884, + 26640219 + ], + [ + 18228695, + 53667801 + ], + [ + 64123897, + 56458601 + ], + [ + 17832699, + 31010766 + ], + [ + 13494784, + 67407069 + ], + [ + 35542350, + 77424212 + ], + [ + 50673908, + 35747321 + ], + [ + 80451483, + 69163347 + ], + [ + 32711807, + 1937645 + ], + [ + 82825278, + 36299164 + ], + [ + 53108247, + 41745491 + ], + [ + 38074675, + 43694078 + ], + [ + 68391746, + 98792601 + ], + [ + 68409975, + 62659979 + ], + [ + 26552147, + 21489374 + ], + [ + 28713648, + 70959343 + ], + [ + 47141828, + 68332939 + ], + [ + 48459851, + 83225731 + ], + [ + 94030825, + 72964982 + ], + [ + 76665242, + 30208661 + ], + [ + 18137106, + 15243392 + ], + [ + 4007249, + 88886481 + ], + [ + 17811174, + 77587424 + ], + [ + 36010473, + 23107141 + ], + [ + 61487873, + 97380096 + ], + [ + 31571676, + 1744849 + ], + [ + 43207048, + 8311336 + ], + [ + 32385318, + 26311567 + ], + [ + 23999571, + 94284497 + ], + [ + 45342986, + 19449803 + ], + [ + 55811301, + 21057990 + ], + [ + 82341208, + 79040283 + ], + [ + 18486499, + 32344446 + ], + [ + 18016963, + 42578885 + ], + [ + 21928123, + 65996302 + ], + [ + 5218539, + 38006584 + ], + [ + 77903458, + 91658882 + ], + [ + 13498094, + 68396664 + ], + [ + 92664731, + 60019928 + ], + [ + 37712224, + 21723326 + ], + [ + 50000736, + 27079017 + ], + [ + 32872930, + 57346134 + ], + [ + 46292907, + 69709704 + ], + [ + 38758298, + 99842988 + ], + [ + 23924133, + 78820364 + ], + [ + 59665865, + 19320967 + ], + [ + 48841350, + 58763909 + ], + [ + 65880698, + 237162 + ], + [ + 86843300, + 48723148 + ], + [ + 98954712, + 70756757 + ], + [ + 39665125, + 57561703 + ], + [ + 25243920, + 31974433 + ], + [ + 14836078, + 79883736 + ], + [ + 82686384, + 32800062 + ], + [ + 92597229, + 1027021 + ], + [ + 9619096, + 1812711 + ], + [ + 43662359, + 77208192 + ], + [ + 37313867, + 44679822 + ], + [ + 733158, + 65325593 + ], + [ + 94651054, + 60666304 + ], + [ + 80527633, + 21610326 + ], + [ + 48173388, + 81801118 + ], + [ + 10410465, + 62807166 + ], + [ + 80889650, + 73131643 + ], + [ + 46784073, + 85996789 + ], + [ + 64167527, + 54674390 + ], + [ + 25237939, + 15669964 + ], + [ + 97558646, + 50489972 + ], + [ + 45367265, + 56899302 + ], + [ + 68555908, + 24683834 + ], + [ + 73061589, + 72128201 + ], + [ + 75405376, + 11546723 + ], + [ + 51967163, + 93834956 + ], + [ + 95301088, + 15139530 + ], + [ + 84813261, + 31860094 + ], + [ + 85430374, + 60022985 + ], + [ + 29435415, + 68797497 + ], + [ + 24954649, + 40720506 + ], + [ + 10763664, + 62641264 + ], + [ + 46962740, + 48383170 + ], + [ + 43224085, + 38671535 + ], + [ + 47350570, + 57364230 + ], + [ + 12078456, + 1829655 + ], + [ + 74892835, + 35571606 + ], + [ + 25812977, + 90971231 + ], + [ + 64186111, + 99724268 + ], + [ + 83078777, + 97906038 + ], + [ + 12643505, + 55468636 + ], + [ + 3234277, + 25350350 + ], + [ + 20426300, + 67934780 + ], + [ + 63290706, + 679281 + ], + [ + 64187680, + 78188440 + ], + [ + 97338237, + 48474679 + ], + [ + 4917443, + 24807058 + ], + [ + 30050372, + 51780739 + ], + [ + 77591636, + 75363202 + ], + [ + 84052492, + 9341955 + ], + [ + 24978812, + 1100906 + ], + [ + 24873632, + 55301736 + ], + [ + 31522876, + 20400556 + ], + [ + 82323848, + 21213662 + ], + [ + 79686390, + 21391627 + ], + [ + 65902705, + 18567478 + ], + [ + 98173994, + 42872184 + ], + [ + 42250438, + 33504353 + ], + [ + 25337137, + 94044113 + ], + [ + 13907466, + 60234231 + ], + [ + 44073378, + 45793757 + ], + [ + 58581131, + 94105201 + ], + [ + 8696662, + 75105862 + ], + [ + 81824892, + 32480931 + ], + [ + 42408855, + 7773649 + ], + [ + 92041897, + 74627709 + ], + [ + 86630042, + 71965341 + ], + [ + 26152158, + 26300760 + ], + [ + 45038754, + 22404038 + ], + [ + 68435391, + 34861728 + ], + [ + 32840427, + 90560306 + ], + [ + 22154231, + 35681181 + ], + [ + 93074741, + 83842021 + ], + [ + 12571512, + 187387 + ], + [ + 16117935, + 26020623 + ], + [ + 65790091, + 78654369 + ], + [ + 48200544, + 80296739 + ], + [ + 88102332, + 47808645 + ], + [ + 51567295, + 9056874 + ], + [ + 66290822, + 23180378 + ], + [ + 38141406, + 67953605 + ], + [ + 22845706, + 23861951 + ], + [ + 78745925, + 17703560 + ], + [ + 91007982, + 73572112 + ], + [ + 74774942, + 88293311 + ], + [ + 45721649, + 18181000 + ], + [ + 87147669, + 6218143 + ], + [ + 2746077, + 86047084 + ], + [ + 85400972, + 87863306 + ], + [ + 82309270, + 26943741 + ], + [ + 53557336, + 75224395 + ], + [ + 85436906, + 95142234 + ], + [ + 39599476, + 49852796 + ], + [ + 51833486, + 79679623 + ], + [ + 83076353, + 22671633 + ], + [ + 80248989, + 21062376 + ], + [ + 37645835, + 18284003 + ], + [ + 1417797, + 92522135 + ], + [ + 46130494, + 2332041 + ], + [ + 66277921, + 68053658 + ], + [ + 25806795, + 64989673 + ], + [ + 15513706, + 84993913 + ], + [ + 70212826, + 63354233 + ], + [ + 83401838, + 47184512 + ], + [ + 90754957, + 73867635 + ], + [ + 16671633, + 62042840 + ], + [ + 26313943, + 59917480 + ], + [ + 87795200, + 76554002 + ], + [ + 54765253, + 15989493 + ], + [ + 39893390, + 28634339 + ], + [ + 67858354, + 1726442 + ], + [ + 38145679, + 91491309 + ], + [ + 44019873, + 3796738 + ], + [ + 34623062, + 54597386 + ], + [ + 43945589, + 58785198 + ], + [ + 71590622, + 69276368 + ], + [ + 82720873, + 73035557 + ], + [ + 32482250, + 36795920 + ], + [ + 87776561, + 66230510 + ], + [ + 46035086, + 67057818 + ], + [ + 95695839, + 17415972 + ], + [ + 97759124, + 73012640 + ], + [ + 56772718, + 15496299 + ], + [ + 36473254, + 75455702 + ], + [ + 63821870, + 55469074 + ], + [ + 75490335, + 80151667 + ], + [ + 54272402, + 97048871 + ], + [ + 12735654, + 50395502 + ], + [ + 96703481, + 68229388 + ], + [ + 94565577, + 52832063 + ], + [ + 45141277, + 80052309 + ], + [ + 99176959, + 93576488 + ], + [ + 40832986, + 5783605 + ], + [ + 53054595, + 34964664 + ], + [ + 1366937, + 80804220 + ], + [ + 58625970, + 58754678 + ], + [ + 21254657, + 22896286 + ], + [ + 45066491, + 25029239 + ], + [ + 42457200, + 81729107 + ], + [ + 22106610, + 13251255 + ], + [ + 3215625, + 21044376 + ], + [ + 90739282, + 75249843 + ], + [ + 89210689, + 85415216 + ], + [ + 31913880, + 14666139 + ], + [ + 62484713, + 73414344 + ], + [ + 19808050, + 59304026 + ], + [ + 72768505, + 90202970 + ], + [ + 11345796, + 79342274 + ], + [ + 13585886, + 50190843 + ], + [ + 80364654, + 75659186 + ], + [ + 92482609, + 36329140 + ], + [ + 67584026, + 38843709 + ], + [ + 49026870, + 81177836 + ], + [ + 12455317, + 12217031 + ], + [ + 121859, + 97660262 + ], + [ + 48730817, + 57258464 + ], + [ + 36163021, + 88164431 + ], + [ + 24022714, + 89193104 + ], + [ + 78286387, + 31050851 + ], + [ + 29799671, + 63770565 + ], + [ + 18461336, + 41650859 + ], + [ + 37976643, + 82604843 + ], + [ + 57879988, + 25066820 + ], + [ + 7254252, + 70027642 + ], + [ + 98821305, + 7392911 + ], + [ + 50438611, + 14601233 + ], + [ + 28815499, + 26717365 + ], + [ + 84171813, + 217274 + ], + [ + 59536639, + 1692297 + ], + [ + 35538147, + 1736009 + ], + [ + 40377247, + 97332352 + ], + [ + 38403882, + 93755578 + ], + [ + 36307887, + 64427945 + ], + [ + 50678314, + 35396137 + ], + [ + 33891679, + 99538720 + ], + [ + 28395028, + 25981058 + ], + [ + 87194785, + 26076941 + ], + [ + 38992545, + 9893284 + ], + [ + 82514472, + 1561302 + ], + [ + 70879461, + 11961998 + ], + [ + 65840832, + 5560661 + ], + [ + 66065224, + 94389075 + ], + [ + 94928160, + 26801976 + ], + [ + 60183170, + 59345338 + ], + [ + 95697432, + 98587674 + ], + [ + 28700572, + 70792717 + ], + [ + 84007242, + 68620616 + ], + [ + 29229850, + 67625275 + ], + [ + 13009263, + 32111714 + ], + [ + 7426042, + 88971611 + ], + [ + 48254032, + 36057419 + ], + [ + 75974131, + 34764139 + ], + [ + 43376123, + 66194445 + ], + [ + 88589557, + 66731120 + ], + [ + 93936630, + 23814015 + ], + [ + 61047544, + 19790767 + ], + [ + 8830664, + 39196398 + ], + [ + 89406467, + 30201592 + ], + [ + 95343899, + 94386715 + ], + [ + 28957466, + 67847514 + ], + [ + 62651814, + 73493643 + ], + [ + 70505889, + 19225578 + ], + [ + 31642252, + 96572822 + ], + [ + 97363114, + 35336908 + ], + [ + 18797212, + 8309532 + ], + [ + 75952322, + 79905350 + ], + [ + 75342900, + 31545640 + ], + [ + 67261836, + 6121672 + ], + [ + 84870764, + 50280396 + ], + [ + 26662545, + 45970279 + ], + [ + 28044124, + 28842781 + ], + [ + 93196562, + 41287597 + ], + [ + 85238289, + 51607244 + ], + [ + 10947463, + 14417143 + ], + [ + 63340462, + 72146021 + ], + [ + 51451383, + 23203099 + ], + [ + 74381394, + 65122724 + ], + [ + 44857972, + 60951548 + ], + [ + 97872652, + 54084481 + ], + [ + 67861255, + 12047502 + ], + [ + 72217901, + 7775678 + ], + [ + 64151920, + 88564311 + ], + [ + 50615584, + 39717131 + ], + [ + 38672291, + 63779499 + ], + [ + 52313794, + 98849541 + ], + [ + 81368800, + 36494308 + ], + [ + 89757088, + 25616908 + ], + [ + 61911115, + 8142503 + ], + [ + 82371309, + 6907718 + ], + [ + 90600654, + 80997601 + ], + [ + 40960551, + 39840825 + ], + [ + 23190807, + 4532584 + ], + [ + 56947594, + 15015858 + ], + [ + 2139628, + 346028 + ], + [ + 26544441, + 27902715 + ], + [ + 61373866, + 66932793 + ], + [ + 27940973, + 62196557 + ], + [ + 93634146, + 95354419 + ], + [ + 1585150, + 37659729 + ], + [ + 63525954, + 35492818 + ], + [ + 52956790, + 48366062 + ], + [ + 98182477, + 24660253 + ], + [ + 76961864, + 34966986 + ], + [ + 41527960, + 91454911 + ], + [ + 57793729, + 69203525 + ], + [ + 98686062, + 56767905 + ], + [ + 96677633, + 81306121 + ], + [ + 4994447, + 46050402 + ], + [ + 72310279, + 25437541 + ], + [ + 73996381, + 10754147 + ], + [ + 10641805, + 13028258 + ], + [ + 55688909, + 64068229 + ], + [ + 88674927, + 32269940 + ], + [ + 46649622, + 26209603 + ], + [ + 92558988, + 86996869 + ], + [ + 88959294, + 27052706 + ], + [ + 25116815, + 30444889 + ], + [ + 60177259, + 37845912 + ], + [ + 57416169, + 250217 + ], + [ + 95449662, + 39923365 + ], + [ + 22877957, + 74844196 + ], + [ + 31584206, + 59530388 + ], + [ + 94771256, + 27852131 + ], + [ + 38917100, + 30761784 + ], + [ + 73227436, + 65894156 + ], + [ + 92109938, + 89945867 + ], + [ + 11650987, + 6618006 + ], + [ + 19317547, + 84500378 + ], + [ + 21332688, + 47726205 + ], + [ + 2095777, + 2407387 + ], + [ + 83050042, + 73788898 + ], + [ + 89935948, + 78271983 + ], + [ + 22227284, + 7631780 + ], + [ + 82742666, + 85871963 + ], + [ + 5268292, + 81803324 + ], + [ + 55210719, + 72237344 + ], + [ + 58924163, + 40494310 + ], + [ + 48097527, + 39583532 + ], + [ + 23850242, + 50693778 + ], + [ + 52562361, + 95838027 + ], + [ + 67974922, + 63482610 + ], + [ + 1002744, + 97024303 + ], + [ + 48755556, + 36319543 + ], + [ + 74032905, + 72298024 + ], + [ + 21695607, + 25654367 + ], + [ + 12483255, + 50482478 + ], + [ + 60811415, + 14524248 + ], + [ + 71785807, + 63840708 + ], + [ + 39046986, + 68847102 + ], + [ + 49905558, + 20459580 + ], + [ + 66529432, + 42383383 + ], + [ + 55660568, + 36528141 + ], + [ + 3784798, + 82431664 + ], + [ + 81271235, + 56965861 + ], + [ + 2042088, + 29465654 + ], + [ + 57465621, + 94933436 + ], + [ + 35916318, + 18699006 + ], + [ + 54305883, + 48136621 + ], + [ + 4509114, + 38175608 + ], + [ + 22279215, + 23899239 + ], + [ + 31787913, + 92994352 + ], + [ + 42347697, + 79583699 + ], + [ + 98308928, + 98212065 + ], + [ + 10758601, + 29072013 + ], + [ + 63998086, + 63712718 + ], + [ + 73819746, + 17192344 + ], + [ + 630854, + 72660472 + ], + [ + 28444730, + 95880594 + ], + [ + 12753125, + 23577596 + ], + [ + 53501050, + 11224337 + ], + [ + 25315280, + 50448448 + ], + [ + 40202833, + 79581888 + ], + [ + 8247867, + 8915413 + ], + [ + 64941858, + 46105548 + ], + [ + 62727998, + 90379098 + ], + [ + 165700, + 29688003 + ], + [ + 34339934, + 97676009 + ], + [ + 51684652, + 18079687 + ], + [ + 67455018, + 58552051 + ], + [ + 15494943, + 15106812 + ], + [ + 9905760, + 82228114 + ], + [ + 36390359, + 4679799 + ], + [ + 71259012, + 90188177 + ], + [ + 73967773, + 73542095 + ], + [ + 5081281, + 87479076 + ], + [ + 22921605, + 53869767 + ], + [ + 60972044, + 86561958 + ], + [ + 63268468, + 85172894 + ], + [ + 19766977, + 30713083 + ], + [ + 31547813, + 25227102 + ], + [ + 13880566, + 75856562 + ], + [ + 17039664, + 49862406 + ], + [ + 40178576, + 52381540 + ], + [ + 23260935, + 70416534 + ], + [ + 76352137, + 46915956 + ], + [ + 20936592, + 48960881 + ], + [ + 96506131, + 90109977 + ], + [ + 9879321, + 62229505 + ], + [ + 14427650, + 65346034 + ], + [ + 38755892, + 54508756 + ], + [ + 40483732, + 50271851 + ], + [ + 44958123, + 85644921 + ], + [ + 74270785, + 28652085 + ], + [ + 60770294, + 64628372 + ], + [ + 44706752, + 89616215 + ], + [ + 35001578, + 62134190 + ], + [ + 15808174, + 5228849 + ], + [ + 65096651, + 25499382 + ], + [ + 57848266, + 55271745 + ], + [ + 76594692, + 63417945 + ], + [ + 64174256, + 10902578 + ], + [ + 74474235, + 60194848 + ], + [ + 95333839, + 27850891 + ], + [ + 71045455, + 93192141 + ], + [ + 944426, + 29240901 + ], + [ + 29780229, + 9326552 + ], + [ + 66852989, + 90840714 + ], + [ + 10385428, + 42481778 + ], + [ + 59659580, + 39734433 + ], + [ + 56160329, + 93810600 + ], + [ + 48595949, + 93005933 + ], + [ + 16203402, + 27628176 + ], + [ + 92961970, + 76855616 + ], + [ + 27208883, + 8738524 + ], + [ + 13803501, + 54158840 + ], + [ + 30876527, + 59193236 + ], + [ + 42133668, + 57210848 + ], + [ + 99053697, + 60972416 + ], + [ + 74989279, + 28508593 + ], + [ + 17962688, + 79541657 + ], + [ + 13593971, + 74687822 + ], + [ + 19259478, + 24783726 + ], + [ + 43308972, + 58700261 + ], + [ + 75661802, + 51030109 + ], + [ + 53359115, + 43419258 + ], + [ + 66963882, + 6775119 + ], + [ + 37151015, + 81348093 + ], + [ + 26825630, + 79216153 + ], + [ + 15134100, + 52761001 + ], + [ + 21959539, + 49610632 + ], + [ + 40450361, + 53412293 + ], + [ + 68679394, + 46912225 + ], + [ + 32437436, + 76844963 + ], + [ + 8673330, + 75585278 + ], + [ + 48970074, + 85197297 + ], + [ + 99571159, + 87416464 + ], + [ + 66596338, + 99742390 + ], + [ + 89580185, + 90485268 + ], + [ + 40472164, + 59595498 + ], + [ + 24067321, + 27883003 + ], + [ + 7097323, + 61885723 + ], + [ + 45750714, + 80659489 + ], + [ + 53523760, + 21973210 + ], + [ + 44314161, + 83820485 + ], + [ + 20123518, + 31972604 + ], + [ + 17368950, + 10527523 + ], + [ + 17016750, + 81119098 + ], + [ + 91263621, + 89463206 + ], + [ + 7220803, + 49678051 + ], + [ + 43729378, + 41571905 + ], + [ + 14785858, + 66685165 + ], + [ + 78837257, + 61087244 + ], + [ + 68146462, + 38581296 + ], + [ + 93815366, + 97725544 + ], + [ + 89457233, + 75161188 + ], + [ + 82995226, + 67256215 + ], + [ + 58044763, + 45709645 + ], + [ + 94999641, + 67405139 + ], + [ + 62837530, + 8595279 + ], + [ + 72873115, + 56604420 + ], + [ + 47078667, + 83619990 + ], + [ + 174153, + 91550887 + ], + [ + 25908597, + 39309783 + ], + [ + 63413492, + 99141615 + ], + [ + 48659609, + 32878851 + ], + [ + 15882661, + 70650199 + ], + [ + 38333658, + 51487064 + ], + [ + 72082840, + 11364127 + ], + [ + 28668830, + 93737323 + ], + [ + 33367022, + 41472051 + ], + [ + 45104434, + 25713125 + ], + [ + 62711995, + 36290036 + ], + [ + 36141673, + 92636466 + ], + [ + 66540017, + 81947605 + ], + [ + 15260503, + 12098296 + ], + [ + 37355540, + 45760124 + ], + [ + 84394000, + 53893862 + ], + [ + 35995396, + 39457163 + ], + [ + 15641040, + 9960949 + ], + [ + 3541240, + 14093101 + ], + [ + 79955801, + 17861683 + ], + [ + 52458835, + 7010729 + ], + [ + 80624861, + 33427135 + ], + [ + 30355113, + 74089597 + ], + [ + 12687944, + 45930280 + ], + [ + 64511960, + 33899867 + ], + [ + 52539321, + 45477112 + ], + [ + 61466375, + 59280373 + ], + [ + 69375084, + 67348193 + ], + [ + 75796422, + 54686692 + ], + [ + 39854118, + 267516 + ], + [ + 54081734, + 45655236 + ], + [ + 46866749, + 67159953 + ], + [ + 65984490, + 60132338 + ], + [ + 70752999, + 52070274 + ], + [ + 93461009, + 18280025 + ], + [ + 87605494, + 76009044 + ], + [ + 82773776, + 29626025 + ], + [ + 94293301, + 42417769 + ], + [ + 27480288, + 96070869 + ], + [ + 56335938, + 5408125 + ], + [ + 8810759, + 23718635 + ], + [ + 26036679, + 71779363 + ], + [ + 81934770, + 87667282 + ], + [ + 95201976, + 91604593 + ], + [ + 68868705, + 47511325 + ], + [ + 54046197, + 8831256 + ], + [ + 42121630, + 46604005 + ], + [ + 35056722, + 94953585 + ], + [ + 96469505, + 37066979 + ], + [ + 81967162, + 69353384 + ], + [ + 47195216, + 7769333 + ], + [ + 32653808, + 87012375 + ], + [ + 65035277, + 12921928 + ], + [ + 60357711, + 76355589 + ], + [ + 82301575, + 80804996 + ], + [ + 10652827, + 85430223 + ], + [ + 99249432, + 19135230 + ], + [ + 37519878, + 38560001 + ], + [ + 4861940, + 91085305 + ], + [ + 94259766, + 70565156 + ], + [ + 11122608, + 80854788 + ], + [ + 45042027, + 50259476 + ], + [ + 33369270, + 7082068 + ], + [ + 38288344, + 70474789 + ], + [ + 4540294, + 64875730 + ], + [ + 85614885, + 99804258 + ], + [ + 12935053, + 55975570 + ], + [ + 71304916, + 79976791 + ], + [ + 8104711, + 92163763 + ], + [ + 73186803, + 74584376 + ], + [ + 72543079, + 49601204 + ], + [ + 65759637, + 92675143 + ], + [ + 98232058, + 11008689 + ], + [ + 51688504, + 34578829 + ], + [ + 42748464, + 98344514 + ], + [ + 73671913, + 87685122 + ], + [ + 55141090, + 52802212 + ], + [ + 5063614, + 41931744 + ], + [ + 63199546, + 12629857 + ], + [ + 27932969, + 93084404 + ], + [ + 36782045, + 44048456 + ], + [ + 92960555, + 78476845 + ], + [ + 7828157, + 52751105 + ], + [ + 80389390, + 72651419 + ], + [ + 6255507, + 99529083 + ], + [ + 44666397, + 64726973 + ], + [ + 50229478, + 63454125 + ], + [ + 69733830, + 89642073 + ], + [ + 66755490, + 97032104 + ], + [ + 80955680, + 40157927 + ], + [ + 37361720, + 93481958 + ], + [ + 73799034, + 6805182 + ], + [ + 919593, + 95314187 + ], + [ + 15052105, + 42436097 + ], + [ + 94271540, + 78119523 + ], + [ + 597825, + 59134782 + ], + [ + 96189306, + 7953211 + ], + [ + 59600206, + 15108569 + ], + [ + 60731799, + 12983459 + ], + [ + 28833322, + 92370032 + ], + [ + 14010959, + 97316068 + ], + [ + 44728092, + 96094261 + ], + [ + 59733872, + 21938044 + ], + [ + 47748004, + 9893216 + ], + [ + 53244649, + 20356069 + ], + [ + 77510606, + 71150252 + ], + [ + 63886442, + 4710142 + ], + [ + 99848989, + 3813239 + ], + [ + 96972355, + 88481187 + ], + [ + 70971928, + 93200798 + ], + [ + 49821808, + 82436130 + ], + [ + 59407024, + 71586613 + ], + [ + 1632883, + 3224985 + ], + [ + 34501020, + 4520133 + ], + [ + 81864422, + 99497664 + ], + [ + 95199950, + 90526432 + ], + [ + 63542363, + 32179353 + ], + [ + 39312333, + 78488668 + ], + [ + 18130271, + 70494531 + ], + [ + 38002316, + 34154572 + ], + [ + 50680561, + 78976734 + ], + [ + 17938136, + 18861685 + ], + [ + 52333798, + 12575952 + ], + [ + 33018282, + 48309260 + ], + [ + 17673369, + 53806096 + ], + [ + 36819495, + 5775403 + ], + [ + 96105130, + 48176699 + ], + [ + 47244676, + 67551540 + ], + [ + 41516138, + 39103388 + ], + [ + 42630906, + 67151655 + ], + [ + 33311314, + 59072795 + ], + [ + 20358032, + 37327813 + ], + [ + 48216215, + 76417828 + ], + [ + 28846684, + 78033184 + ], + [ + 85057805, + 77099287 + ], + [ + 13622490, + 54157594 + ], + [ + 58888254, + 11654399 + ], + [ + 53834757, + 21057808 + ], + [ + 43464836, + 32458234 + ], + [ + 91115213, + 80927504 + ], + [ + 91991203, + 34460171 + ], + [ + 33406507, + 21508884 + ], + [ + 54459724, + 41851561 + ], + [ + 13198942, + 2707419 + ], + [ + 18085640, + 96744072 + ], + [ + 70108331, + 73166481 + ], + [ + 89528623, + 31907484 + ], + [ + 87438811, + 80832207 + ], + [ + 49186707, + 3981882 + ], + [ + 43872267, + 80066427 + ], + [ + 68593348, + 5850041 + ], + [ + 11468855, + 11169829 + ], + [ + 92447482, + 70549568 + ], + [ + 36058113, + 79903361 + ], + [ + 89762517, + 34807802 + ], + [ + 67557454, + 75188810 + ], + [ + 79128933, + 78351656 + ], + [ + 54467016, + 61308705 + ], + [ + 68173556, + 79842780 + ], + [ + 64021720, + 26391470 + ], + [ + 8095780, + 57870284 + ], + [ + 78948637, + 25753038 + ], + [ + 62040429, + 27242667 + ], + [ + 69954535, + 9551954 + ], + [ + 87690510, + 18554313 + ], + [ + 80139031, + 18303 + ], + [ + 78459691, + 99585780 + ], + [ + 84214691, + 99716372 + ], + [ + 78562214, + 80648758 + ], + [ + 20619344, + 62027955 + ], + [ + 70616769, + 58639588 + ], + [ + 95192181, + 97199249 + ], + [ + 32281231, + 40458594 + ], + [ + 35978919, + 63217221 + ], + [ + 81717367, + 77559156 + ], + [ + 93219066, + 24880071 + ], + [ + 94864577, + 62844600 + ], + [ + 12606147, + 22847419 + ], + [ + 79976629, + 53799312 + ], + [ + 84907389, + 80056767 + ], + [ + 90944165, + 65839021 + ], + [ + 50901311, + 82098540 + ], + [ + 86681751, + 42536057 + ], + [ + 59235864, + 28055135 + ], + [ + 28917252, + 34588262 + ], + [ + 18421982, + 67335573 + ], + [ + 33341538, + 72094172 + ], + [ + 95978262, + 48530427 + ], + [ + 19772111, + 27560182 + ], + [ + 56046592, + 90716815 + ], + [ + 61816295, + 57174638 + ], + [ + 73746500, + 497366 + ], + [ + 87502915, + 35417491 + ], + [ + 18824248, + 38357707 + ], + [ + 88139153, + 66915933 + ], + [ + 5691919, + 68432870 + ], + [ + 49165037, + 96980145 + ], + [ + 59770936, + 43971701 + ], + [ + 40993670, + 45166132 + ], + [ + 14154278, + 45727924 + ], + [ + 70680703, + 1708001 + ], + [ + 57381917, + 91794994 + ], + [ + 94482531, + 42096639 + ], + [ + 47985566, + 61747513 + ], + [ + 64565667, + 71427896 + ], + [ + 65634804, + 2523534 + ], + [ + 83705397, + 91705364 + ], + [ + 73810452, + 70739691 + ], + [ + 82935297, + 57991433 + ], + [ + 26762883, + 98397746 + ], + [ + 55218607, + 92887113 + ], + [ + 27427952, + 31379765 + ], + [ + 85643797, + 51982457 + ], + [ + 57007034, + 54416222 + ], + [ + 99369628, + 62431606 + ], + [ + 66467547, + 33772027 + ], + [ + 34694267, + 42415160 + ], + [ + 11120064, + 46446187 + ], + [ + 61615127, + 78938070 + ], + [ + 3044073, + 12194761 + ], + [ + 5189851, + 68424740 + ], + [ + 62859982, + 22473377 + ], + [ + 39238440, + 5619634 + ], + [ + 74932543, + 39440341 + ], + [ + 13645589, + 96280853 + ], + [ + 9842878, + 24811764 + ], + [ + 95512131, + 37359028 + ], + [ + 42267240, + 11516756 + ], + [ + 33766506, + 76486469 + ], + [ + 19979031, + 89269628 + ], + [ + 46315731, + 51753056 + ], + [ + 90750637, + 14204286 + ], + [ + 49676808, + 83110323 + ], + [ + 57662541, + 22168134 + ], + [ + 55817709, + 22550888 + ], + [ + 38296581, + 374904 + ], + [ + 61728323, + 76773383 + ], + [ + 4449994, + 79530511 + ], + [ + 58454431, + 18704713 + ], + [ + 88280094, + 96143752 + ], + [ + 48069213, + 25693078 + ], + [ + 72870135, + 31611730 + ], + [ + 32902296, + 50412395 + ], + [ + 54904470, + 50862261 + ], + [ + 73105833, + 82540121 + ], + [ + 3583701, + 58670907 + ], + [ + 79321765, + 5152669 + ], + [ + 14896235, + 27584376 + ], + [ + 82712506, + 89785915 + ], + [ + 18441255, + 51991370 + ], + [ + 88677660, + 21677423 + ], + [ + 15947411, + 17334901 + ], + [ + 90587071, + 5948149 + ], + [ + 82089484, + 34774228 + ], + [ + 32402402, + 30534250 + ], + [ + 67111442, + 1583010 + ], + [ + 13260651, + 71492678 + ], + [ + 2302797, + 35143148 + ], + [ + 47223885, + 10641331 + ], + [ + 83511898, + 10917775 + ], + [ + 86339857, + 72647848 + ], + [ + 63186128, + 59184442 + ], + [ + 91186237, + 13900768 + ], + [ + 2207717, + 13968961 + ], + [ + 55351529, + 47153810 + ], + [ + 57812587, + 60500483 + ], + [ + 96298078, + 53069024 + ], + [ + 83492646, + 53272326 + ], + [ + 22857959, + 90294086 + ], + [ + 34957667, + 52662009 + ], + [ + 92216465, + 58446031 + ], + [ + 51166065, + 42666854 + ], + [ + 81380666, + 71694819 + ], + [ + 8520101, + 86415470 + ], + [ + 40987510, + 13561679 + ], + [ + 75876717, + 58291965 + ], + [ + 88020998, + 4116832 + ], + [ + 39960190, + 16720184 + ], + [ + 79360584, + 69488528 + ], + [ + 80288484, + 90704004 + ], + [ + 28256396, + 18948480 + ], + [ + 13893924, + 19333195 + ], + [ + 30362600, + 59052002 + ], + [ + 89401953, + 59964290 + ], + [ + 11686019, + 76746426 + ], + [ + 36412502, + 66539268 + ], + [ + 75658526, + 74866270 + ], + [ + 15162026, + 76765672 + ], + [ + 77975740, + 83400780 + ], + [ + 73335409, + 77499959 + ], + [ + 17120199, + 50700197 + ], + [ + 61349047, + 30862188 + ], + [ + 34447714, + 55649570 + ], + [ + 38172372, + 84766940 + ], + [ + 15599238, + 87912848 + ], + [ + 86279661, + 80974753 + ], + [ + 74687694, + 47234036 + ], + [ + 76732680, + 47635862 + ], + [ + 64824400, + 55012373 + ], + [ + 15453592, + 54809937 + ], + [ + 88648960, + 8546810 + ], + [ + 66032379, + 98111900 + ], + [ + 42054229, + 88440735 + ], + [ + 28946198, + 69247997 + ], + [ + 70504401, + 14748180 + ], + [ + 59086826, + 94159492 + ], + [ + 57737853, + 10457782 + ], + [ + 93750780, + 7368217 + ], + [ + 4781998, + 15149068 + ], + [ + 87725824, + 39019750 + ], + [ + 95548518, + 55085976 + ], + [ + 87683144, + 72730043 + ], + [ + 76601104, + 28184106 + ], + [ + 3188601, + 30702744 + ], + [ + 26413002, + 32148141 + ], + [ + 64496583, + 37342153 + ], + [ + 53411167, + 22016935 + ], + [ + 7298063, + 29742498 + ], + [ + 52388472, + 10023341 + ], + [ + 3563554, + 41570195 + ], + [ + 23818872, + 71494200 + ], + [ + 1219915, + 11526073 + ], + [ + 20004545, + 45843603 + ], + [ + 72817390, + 7037364 + ], + [ + 40217661, + 89887490 + ], + [ + 19827738, + 41167768 + ], + [ + 80682996, + 8461021 + ], + [ + 70642548, + 66126200 + ], + [ + 67259190, + 24993608 + ], + [ + 4419399, + 94455642 + ], + [ + 35616367, + 6956444 + ], + [ + 91518084, + 66560734 + ], + [ + 20066145, + 42906740 + ], + [ + 51571616, + 1634429 + ], + [ + 40555983, + 21339874 + ], + [ + 82160807, + 39527386 + ], + [ + 57655034, + 86616966 + ], + [ + 70875905, + 17434505 + ], + [ + 27387855, + 44537568 + ], + [ + 97427580, + 25016058 + ], + [ + 25276979, + 35138566 + ], + [ + 16866492, + 63513171 + ], + [ + 92124205, + 86562155 + ], + [ + 17665134, + 5387683 + ], + [ + 53327524, + 79007368 + ], + [ + 4758196, + 85433358 + ], + [ + 63503526, + 50905585 + ], + [ + 89282637, + 23931770 + ], + [ + 20123252, + 92475608 + ], + [ + 53029370, + 68703520 + ], + [ + 25595218, + 87588047 + ], + [ + 77664227, + 50458573 + ], + [ + 75317012, + 61419897 + ], + [ + 8299012, + 13318959 + ], + [ + 9959912, + 56604382 + ], + [ + 77203399, + 73748838 + ], + [ + 63458276, + 88426141 + ], + [ + 79895528, + 96274422 + ], + [ + 18659827, + 66247965 + ], + [ + 75097744, + 13986827 + ], + [ + 9499785, + 12355218 + ], + [ + 21119418, + 22872343 + ], + [ + 41032646, + 50356184 + ], + [ + 1254311, + 55187532 + ], + [ + 23758400, + 31559873 + ], + [ + 43846993, + 58199285 + ], + [ + 44677317, + 62777804 + ], + [ + 70913824, + 29989052 + ], + [ + 29196229, + 93594590 + ], + [ + 39181630, + 94951239 + ], + [ + 28551225, + 44057579 + ], + [ + 21491642, + 10225967 + ], + [ + 13138026, + 8846975 + ], + [ + 49027555, + 98887488 + ], + [ + 71166508, + 47962432 + ], + [ + 63101838, + 53225380 + ], + [ + 31068148, + 21138603 + ], + [ + 77630040, + 29372388 + ], + [ + 90677772, + 31215708 + ], + [ + 53661215, + 9159542 + ], + [ + 68201250, + 74684709 + ], + [ + 48040046, + 2393384 + ], + [ + 59523342, + 16221172 + ], + [ + 84325320, + 18881118 + ], + [ + 40094854, + 19783785 + ], + [ + 43650118, + 65574357 + ], + [ + 27088447, + 59391744 + ], + [ + 73751257, + 17677338 + ], + [ + 38380002, + 38647352 + ], + [ + 42218013, + 14361651 + ], + [ + 215958, + 27171863 + ], + [ + 26499323, + 7301513 + ], + [ + 33409123, + 59005964 + ], + [ + 67130692, + 5472607 + ], + [ + 95513451, + 5846652 + ], + [ + 80482807, + 17932643 + ], + [ + 58294435, + 40026159 + ], + [ + 38093586, + 67243184 + ], + [ + 59275253, + 31198068 + ], + [ + 51624805, + 75235481 + ], + [ + 95228648, + 70600890 + ], + [ + 5170683, + 82887314 + ], + [ + 45625281, + 2124862 + ], + [ + 29414268, + 3783930 + ], + [ + 7928796, + 70981468 + ], + [ + 34357806, + 171116 + ], + [ + 97905407, + 80342236 + ], + [ + 79153512, + 13722334 + ], + [ + 64668607, + 1572782 + ], + [ + 28536117, + 92999017 + ], + [ + 95902220, + 25492399 + ], + [ + 83328116, + 23800425 + ], + [ + 21730390, + 11483458 + ], + [ + 49155857, + 17131099 + ], + [ + 13158200, + 96722444 + ], + [ + 55130191, + 11427818 + ], + [ + 11987097, + 11713022 + ], + [ + 19579083, + 79953529 + ], + [ + 36629545, + 94325915 + ], + [ + 83107710, + 86956232 + ], + [ + 56504388, + 64391348 + ], + [ + 62024628, + 63225700 + ], + [ + 70457832, + 56840941 + ], + [ + 64945774, + 67097907 + ], + [ + 87111858, + 53844535 + ], + [ + 58460330, + 48137722 + ], + [ + 16371721, + 87635961 + ], + [ + 56983574, + 50016219 + ], + [ + 49827819, + 96842446 + ], + [ + 27642857, + 28505150 + ], + [ + 21394139, + 8926153 + ], + [ + 61479270, + 22877081 + ], + [ + 64998266, + 9951624 + ], + [ + 86687778, + 46188753 + ], + [ + 41097225, + 56926461 + ], + [ + 76264473, + 79821893 + ], + [ + 77994863, + 102137 + ], + [ + 34455716, + 63177369 + ], + [ + 39815322, + 94062650 + ], + [ + 59393166, + 41654314 + ], + [ + 35677154, + 97168715 + ], + [ + 88196465, + 27054505 + ], + [ + 91470513, + 3174940 + ], + [ + 65276534, + 2587444 + ], + [ + 16359141, + 50895504 + ], + [ + 63656463, + 65966814 + ], + [ + 87675064, + 83056571 + ], + [ + 98247515, + 29381566 + ], + [ + 49164206, + 89017059 + ], + [ + 43102623, + 39040035 + ], + [ + 46170132, + 65030937 + ], + [ + 82193269, + 1268880 + ], + [ + 85649465, + 81856043 + ], + [ + 32628974, + 9783047 + ], + [ + 64045232, + 55197845 + ], + [ + 51036884, + 34891721 + ], + [ + 55738740, + 98222484 + ], + [ + 76955782, + 62339492 + ], + [ + 52383330, + 19488823 + ], + [ + 41557044, + 88014735 + ], + [ + 27624798, + 40278697 + ], + [ + 2938193, + 68609880 + ], + [ + 22800022, + 44889242 + ], + [ + 56259598, + 57099164 + ], + [ + 437696, + 84437384 + ], + [ + 36253746, + 52019247 + ], + [ + 36118188, + 46264210 + ], + [ + 57766188, + 43981721 + ], + [ + 79207205, + 36497301 + ], + [ + 74383027, + 71488679 + ], + [ + 38737686, + 60153788 + ], + [ + 93354980, + 85348167 + ], + [ + 32119665, + 45796834 + ], + [ + 84962938, + 30986307 + ], + [ + 84539058, + 62520688 + ], + [ + 56169323, + 61191608 + ], + [ + 44061331, + 479758 + ], + [ + 14372254, + 520137 + ], + [ + 7345100, + 90747279 + ], + [ + 59537415, + 21270483 + ], + [ + 45827719, + 46513789 + ], + [ + 79815088, + 88830631 + ], + [ + 33687473, + 62914926 + ], + [ + 5487118, + 96249825 + ], + [ + 42738010, + 71496497 + ], + [ + 38944310, + 34837408 + ], + [ + 14999772, + 39883179 + ], + [ + 10071257, + 80014005 + ], + [ + 57025737, + 14622022 + ], + [ + 95534972, + 62996697 + ], + [ + 4389038, + 30763570 + ], + [ + 50781451, + 18244509 + ], + [ + 23240087, + 86890918 + ], + [ + 42311692, + 65777750 + ], + [ + 29888947, + 27550271 + ], + [ + 45226894, + 58117841 + ], + [ + 33800835, + 26838806 + ], + [ + 67967628, + 88211263 + ], + [ + 50443935, + 83074522 + ], + [ + 19041783, + 11941942 + ], + [ + 8245693, + 55129224 + ], + [ + 44584564, + 72428540 + ], + [ + 62507692, + 93936921 + ], + [ + 58396782, + 96438358 + ], + [ + 60847832, + 81429206 + ], + [ + 18882041, + 61214897 + ], + [ + 38538843, + 27842347 + ], + [ + 8250707, + 11855283 + ], + [ + 13281739, + 10794647 + ], + [ + 58426120, + 63945281 + ], + [ + 90828623, + 72026301 + ], + [ + 35824091, + 87855079 + ], + [ + 99082861, + 55255644 + ], + [ + 16709969, + 41206320 + ], + [ + 75090311, + 47038870 + ], + [ + 91071415, + 20052287 + ], + [ + 72177138, + 36552711 + ], + [ + 93058650, + 43301743 + ], + [ + 54166781, + 15705947 + ], + [ + 17690392, + 73392237 + ], + [ + 75506202, + 66992956 + ], + [ + 38905896, + 10436195 + ], + [ + 18984715, + 13278728 + ], + [ + 85504494, + 82019024 + ], + [ + 58524093, + 28297565 + ], + [ + 97080896, + 99879325 + ], + [ + 41972563, + 97894783 + ], + [ + 57367146, + 24060107 + ], + [ + 69259182, + 4289729 + ], + [ + 77323035, + 19532441 + ], + [ + 51631384, + 63806524 + ], + [ + 24313602, + 61391045 + ], + [ + 47369640, + 66540907 + ], + [ + 40365770, + 61789009 + ], + [ + 63252155, + 13918522 + ], + [ + 53578447, + 38309567 + ], + [ + 36735133, + 30601634 + ], + [ + 35518808, + 74698338 + ], + [ + 22448368, + 15262409 + ], + [ + 75932664, + 14266829 + ], + [ + 92622340, + 77151745 + ], + [ + 11071155, + 62402835 + ], + [ + 99981133, + 21780219 + ], + [ + 57719205, + 16316646 + ], + [ + 21853387, + 70879158 + ], + [ + 60539718, + 77824918 + ], + [ + 72142870, + 43091556 + ], + [ + 82790567, + 90564399 + ], + [ + 76573095, + 13864140 + ], + [ + 171361, + 91370248 + ], + [ + 9921875, + 92397604 + ], + [ + 9960662, + 32524239 + ], + [ + 11557262, + 84913106 + ], + [ + 94560796, + 34096597 + ], + [ + 91880279, + 74965778 + ], + [ + 16582904, + 48746736 + ], + [ + 28156169, + 98831736 + ], + [ + 74557518, + 10781994 + ], + [ + 34297162, + 49211976 + ], + [ + 65893463, + 67827112 + ], + [ + 42827194, + 66926819 + ], + [ + 87263214, + 73143190 + ], + [ + 99604356, + 73694940 + ], + [ + 76165477, + 77157767 + ], + [ + 33034944, + 96028660 + ], + [ + 52211423, + 84722303 + ], + [ + 36054072, + 23267157 + ], + [ + 95270066, + 63521519 + ], + [ + 3315930, + 45685138 + ], + [ + 33758290, + 61663074 + ], + [ + 96803379, + 46573615 + ], + [ + 77231410, + 11319105 + ], + [ + 1315109, + 25022638 + ], + [ + 58403779, + 67709055 + ], + [ + 61304103, + 30891918 + ], + [ + 8360816, + 58151792 + ], + [ + 5450831, + 83133665 + ], + [ + 79125573, + 23541728 + ], + [ + 74977507, + 14892043 + ], + [ + 92059078, + 56477734 + ], + [ + 5241343, + 83499509 + ], + [ + 40179544, + 31425398 + ], + [ + 1774306, + 72480156 + ], + [ + 1825791, + 92229025 + ], + [ + 59637312, + 61835026 + ], + [ + 80404490, + 15046028 + ], + [ + 361683, + 14058328 + ], + [ + 49707846, + 19019445 + ], + [ + 55892574, + 91627073 + ], + [ + 69108616, + 30064020 + ], + [ + 94505422, + 92893180 + ], + [ + 33403016, + 34389662 + ], + [ + 21368708, + 19673819 + ], + [ + 29111986, + 52261509 + ], + [ + 11359013, + 70275468 + ], + [ + 74179568, + 61338074 + ], + [ + 72261056, + 48044515 + ], + [ + 57097310, + 86882616 + ], + [ + 39404071, + 28917587 + ], + [ + 33817401, + 62751448 + ], + [ + 39275433, + 21803812 + ], + [ + 57629762, + 28071453 + ], + [ + 49015466, + 14756657 + ], + [ + 25041652, + 63176580 + ], + [ + 86753827, + 85200201 + ], + [ + 38976444, + 97519698 + ], + [ + 58456357, + 58290529 + ], + [ + 62990548, + 50132594 + ], + [ + 56221699, + 58293338 + ], + [ + 56533313, + 97477380 + ], + [ + 30223338, + 85609366 + ], + [ + 40846978, + 33620178 + ], + [ + 83518376, + 16855103 + ], + [ + 79610122, + 36394963 + ], + [ + 42456857, + 12372845 + ], + [ + 76435266, + 82475145 + ], + [ + 3644280, + 27621119 + ], + [ + 8942799, + 43757531 + ], + [ + 84592635, + 23824329 + ], + [ + 47180827, + 62112361 + ], + [ + 3641759, + 71970580 + ], + [ + 98396541, + 5287567 + ], + [ + 31831269, + 70934081 + ], + [ + 60696433, + 55034448 + ], + [ + 8077252, + 69318999 + ], + [ + 69573324, + 86809479 + ], + [ + 95846794, + 65511043 + ], + [ + 73653113, + 43176968 + ], + [ + 34911413, + 35289125 + ], + [ + 80846805, + 76730911 + ], + [ + 57270049, + 64007290 + ], + [ + 46729019, + 62047703 + ], + [ + 40420667, + 32834124 + ], + [ + 35795383, + 24737583 + ], + [ + 47492433, + 50216439 + ], + [ + 34103587, + 17803847 + ], + [ + 75789826, + 47828389 + ], + [ + 38680999, + 49545936 + ], + [ + 77938368, + 83569879 + ], + [ + 9419509, + 12238740 + ], + [ + 68869086, + 54867901 + ], + [ + 72098529, + 71647958 + ], + [ + 15328936, + 28737624 + ], + [ + 98580459, + 52433914 + ], + [ + 3668423, + 61316867 + ], + [ + 13990353, + 25643528 + ], + [ + 90210129, + 49743058 + ], + [ + 93541880, + 79975304 + ], + [ + 79888848, + 2872075 + ], + [ + 67686381, + 45201091 + ], + [ + 84153278, + 34732943 + ], + [ + 97094084, + 34844922 + ], + [ + 71700010, + 24944698 + ], + [ + 58455998, + 90372484 + ], + [ + 36165734, + 72990998 + ], + [ + 2404733, + 3372518 + ], + [ + 94715281, + 35197470 + ], + [ + 55620222, + 72159147 + ], + [ + 63784433, + 46193960 + ], + [ + 3318840, + 40746050 + ], + [ + 34191816, + 82256338 + ], + [ + 50040042, + 41719735 + ], + [ + 23067879, + 99675969 + ], + [ + 55576772, + 872979 + ], + [ + 92645437, + 28821081 + ], + [ + 51027194, + 44688041 + ], + [ + 74589433, + 23646354 + ], + [ + 1728548, + 69181149 + ], + [ + 26636436, + 25725040 + ], + [ + 35298572, + 9581700 + ], + [ + 97932728, + 21182972 + ], + [ + 72611243, + 21466751 + ], + [ + 21092191, + 21410235 + ], + [ + 34750562, + 32524148 + ], + [ + 40536200, + 18847700 + ], + [ + 1955104, + 1156062 + ], + [ + 74129704, + 11063522 + ], + [ + 66539974, + 90058024 + ], + [ + 76360120, + 74847705 + ], + [ + 19759625, + 80222279 + ], + [ + 55780768, + 7779870 + ], + [ + 20409791, + 2098099 + ], + [ + 86372, + 98772767 + ], + [ + 89765843, + 48130920 + ], + [ + 80837780, + 41622464 + ], + [ + 39935061, + 27136190 + ], + [ + 98162563, + 18638749 + ], + [ + 91678039, + 97535449 + ], + [ + 93834704, + 90011828 + ], + [ + 5728458, + 72524886 + ], + [ + 34574468, + 96170524 + ], + [ + 33916746, + 59773067 + ], + [ + 21890335, + 93870972 + ], + [ + 47208543, + 94711243 + ], + [ + 95418329, + 67691969 + ], + [ + 93932716, + 48865337 + ], + [ + 33939068, + 8152059 + ], + [ + 2835139, + 71078771 + ], + [ + 40434118, + 56817314 + ], + [ + 84654450, + 50288540 + ], + [ + 49819345, + 73259749 + ], + [ + 94555915, + 11027884 + ], + [ + 96221191, + 95171298 + ], + [ + 48928138, + 98612265 + ], + [ + 83093510, + 7319080 + ], + [ + 35200365, + 93957253 + ], + [ + 55470810, + 86406138 + ], + [ + 26662637, + 65670133 + ], + [ + 23257628, + 75297027 + ], + [ + 80405683, + 81167906 + ], + [ + 91699992, + 46742521 + ], + [ + 45209352, + 15746809 + ], + [ + 17836469, + 1845686 + ], + [ + 64000932, + 89054236 + ], + [ + 75561713, + 67826458 + ], + [ + 61938656, + 80010751 + ], + [ + 23723004, + 42866818 + ], + [ + 75902650, + 90960480 + ], + [ + 40803597, + 34535547 + ], + [ + 1136217, + 49390478 + ], + [ + 72795430, + 61291907 + ], + [ + 6149342, + 63589330 + ], + [ + 81576476, + 2726192 + ], + [ + 60369153, + 60049265 + ], + [ + 33739713, + 47449091 + ], + [ + 50413295, + 61885968 + ], + [ + 6085682, + 89929695 + ], + [ + 17099309, + 23943972 + ], + [ + 43831149, + 40794890 + ], + [ + 96625548, + 93449327 + ], + [ + 32765691, + 88591485 + ], + [ + 29401313, + 66474236 + ], + [ + 63532748, + 76785754 + ], + [ + 28784350, + 44319284 + ], + [ + 16551401, + 70446952 + ], + [ + 36679550, + 39021028 + ], + [ + 37251478, + 65260446 + ], + [ + 68250096, + 84874180 + ], + [ + 14531469, + 79549581 + ], + [ + 28242610, + 71297201 + ], + [ + 41806002, + 85608298 + ], + [ + 38709147, + 66093302 + ], + [ + 44055136, + 95680924 + ], + [ + 55909816, + 45128536 + ], + [ + 87756895, + 49452184 + ], + [ + 50731649, + 31782064 + ], + [ + 3577533, + 188401 + ], + [ + 66765643, + 83610381 + ], + [ + 27784184, + 4565782 + ], + [ + 95980106, + 80626226 + ], + [ + 30537704, + 18033565 + ], + [ + 46203326, + 62759420 + ], + [ + 80961110, + 38402454 + ], + [ + 60229032, + 88276421 + ], + [ + 91231345, + 89592268 + ], + [ + 73844133, + 59239424 + ], + [ + 36014016, + 28182204 + ], + [ + 6445395, + 37411513 + ], + [ + 68068336, + 62865177 + ], + [ + 639084, + 87034893 + ], + [ + 35936303, + 81820929 + ], + [ + 50528085, + 30408571 + ], + [ + 54285920, + 60858260 + ], + [ + 78524785, + 1029926 + ], + [ + 56659898, + 65420421 + ], + [ + 19108773, + 83352100 + ], + [ + 4377689, + 38392642 + ], + [ + 67144099, + 19232454 + ], + [ + 69429146, + 19198457 + ], + [ + 6739544, + 57462255 + ], + [ + 71158888, + 35522159 + ], + [ + 57542146, + 78633969 + ], + [ + 92129383, + 21282565 + ], + [ + 86914303, + 53219050 + ], + [ + 19470962, + 64205260 + ], + [ + 54197794, + 867481 + ], + [ + 5408220, + 39178714 + ], + [ + 97383346, + 8186738 + ], + [ + 55367836, + 67908730 + ], + [ + 14166984, + 13230118 + ], + [ + 49428476, + 91747265 + ], + [ + 45128735, + 45389289 + ], + [ + 64106742, + 18379129 + ], + [ + 9813225, + 31859836 + ], + [ + 27742077, + 44687590 + ], + [ + 58451929, + 11850500 + ], + [ + 98760779, + 55892059 + ], + [ + 27905276, + 30693005 + ], + [ + 78892855, + 79380693 + ], + [ + 21659187, + 3631191 + ], + [ + 24414509, + 482767 + ], + [ + 44996283, + 30878452 + ], + [ + 45832941, + 44220340 + ], + [ + 87189173, + 63598274 + ], + [ + 1506014, + 99452872 + ], + [ + 11493402, + 3110175 + ], + [ + 41689330, + 27460303 + ], + [ + 10207751, + 7748047 + ], + [ + 13544221, + 82379713 + ], + [ + 645657, + 94808503 + ], + [ + 45482411, + 51195875 + ], + [ + 83146667, + 99170525 + ], + [ + 78807164, + 1055210 + ], + [ + 44170728, + 19467432 + ], + [ + 9664409, + 77096238 + ], + [ + 57653723, + 61568828 + ], + [ + 8744505, + 81705775 + ], + [ + 83007364, + 48424341 + ], + [ + 85392403, + 75220726 + ], + [ + 86526162, + 52833346 + ], + [ + 76465078, + 38641341 + ], + [ + 43521219, + 72549359 + ], + [ + 84719671, + 37458069 + ], + [ + 41693984, + 6395408 + ], + [ + 51785633, + 63480269 + ], + [ + 1240313, + 98219042 + ], + [ + 47844828, + 38892292 + ], + [ + 27280621, + 81242449 + ], + [ + 68567415, + 20507393 + ], + [ + 19790018, + 96755491 + ], + [ + 64424821, + 5621932 + ], + [ + 20351420, + 39508125 + ], + [ + 37372978, + 78761255 + ], + [ + 91112408, + 17851903 + ], + [ + 93343788, + 62225224 + ], + [ + 70813221, + 73048557 + ], + [ + 77012856, + 60304082 + ], + [ + 70498118, + 66895615 + ], + [ + 37452039, + 65183400 + ], + [ + 4249910, + 88361313 + ], + [ + 89924560, + 56123080 + ], + [ + 90800516, + 22717399 + ], + [ + 49860270, + 54514305 + ], + [ + 92354367, + 56922081 + ], + [ + 85725416, + 21299726 + ], + [ + 83470170, + 54985983 + ], + [ + 41273675, + 77959082 + ], + [ + 81199956, + 41883347 + ], + [ + 26423813, + 67585673 + ], + [ + 48002975, + 35942997 + ], + [ + 77707214, + 5238339 + ], + [ + 53431157, + 54932043 + ], + [ + 4048702, + 94789670 + ], + [ + 58897002, + 80464443 + ], + [ + 21837331, + 42930492 + ], + [ + 67622588, + 77976545 + ], + [ + 22206314, + 50442537 + ], + [ + 29768752, + 89471469 + ], + [ + 64842462, + 72690887 + ], + [ + 79341283, + 96599273 + ], + [ + 93815451, + 4269056 + ], + [ + 29197396, + 41362043 + ], + [ + 5924023, + 90852548 + ], + [ + 58672124, + 46513774 + ], + [ + 32206844, + 25027083 + ], + [ + 99858598, + 53352732 + ], + [ + 39734995, + 78552511 + ], + [ + 3592149, + 69512712 + ], + [ + 64094082, + 77294220 + ], + [ + 10222067, + 3563390 + ], + [ + 2784657, + 2690137 + ], + [ + 48574716, + 90487835 + ], + [ + 61403314, + 59693641 + ], + [ + 71896628, + 90624207 + ], + [ + 68918106, + 61922970 + ], + [ + 85036831, + 17359577 + ], + [ + 44712481, + 67970603 + ], + [ + 11485594, + 74117163 + ], + [ + 40654351, + 60313985 + ], + [ + 60864581, + 75838661 + ], + [ + 18838918, + 78445971 + ], + [ + 50915995, + 51458359 + ], + [ + 19313479, + 958200 + ], + [ + 42168451, + 73978157 + ], + [ + 42758926, + 82047648 + ], + [ + 77483755, + 38727963 + ], + [ + 38526138, + 72246667 + ], + [ + 15685971, + 50902903 + ], + [ + 81979675, + 59066684 + ], + [ + 33090979, + 20785497 + ], + [ + 96223960, + 1285632 + ], + [ + 14207939, + 17156008 + ], + [ + 60867916, + 54317132 + ], + [ + 43445465, + 28848636 + ], + [ + 19157014, + 61089157 + ], + [ + 25493195, + 74964497 + ], + [ + 91822423, + 20672156 + ], + [ + 40352989, + 76779807 + ], + [ + 43435700, + 83451599 + ], + [ + 87346652, + 47468054 + ], + [ + 282860, + 95345913 + ], + [ + 2293317, + 23085491 + ], + [ + 5208386, + 47100498 + ], + [ + 81241673, + 34391800 + ], + [ + 24439633, + 80921437 + ], + [ + 86624535, + 88021954 + ], + [ + 58658362, + 38441189 + ], + [ + 74554249, + 78730841 + ], + [ + 18074967, + 51438156 + ], + [ + 78160911, + 83687740 + ], + [ + 96360345, + 27037884 + ], + [ + 11125634, + 18257257 + ], + [ + 37474158, + 89057098 + ], + [ + 66309908, + 51200301 + ], + [ + 4123781, + 7016896 + ], + [ + 47960799, + 18424802 + ], + [ + 16131128, + 58363473 + ], + [ + 88104326, + 82494562 + ], + [ + 50104585, + 21476146 + ], + [ + 86598989, + 33979243 + ], + [ + 16201270, + 46573427 + ], + [ + 41498534, + 49772578 + ], + [ + 26163410, + 36813001 + ], + [ + 83355517, + 71239814 + ], + [ + 45728681, + 90273133 + ], + [ + 87882945, + 57490775 + ], + [ + 66975061, + 45384535 + ], + [ + 82931287, + 21648243 + ], + [ + 18618604, + 56526400 + ], + [ + 78657177, + 67531746 + ], + [ + 44120125, + 36174243 + ], + [ + 60339540, + 36846357 + ], + [ + 24495382, + 55374826 + ], + [ + 58276802, + 94991600 + ], + [ + 19800664, + 50141980 + ], + [ + 46685976, + 7807494 + ], + [ + 83719110, + 83920394 + ], + [ + 63452754, + 85749051 + ], + [ + 19116759, + 59907978 + ], + [ + 71494576, + 58415994 + ], + [ + 38546502, + 34063567 + ], + [ + 49911095, + 73209492 + ], + [ + 34227700, + 18195892 + ], + [ + 54332826, + 49912150 + ], + [ + 51697244, + 39341048 + ], + [ + 93384070, + 24465651 + ], + [ + 63865700, + 29474219 + ], + [ + 56336251, + 67510590 + ], + [ + 82884451, + 41015425 + ], + [ + 85644263, + 78235255 + ], + [ + 23138846, + 95973463 + ], + [ + 16492851, + 97427753 + ], + [ + 60055418, + 87698136 + ], + [ + 61361731, + 8829662 + ], + [ + 92452114, + 37284718 + ], + [ + 42441587, + 49102657 + ], + [ + 86369453, + 32126402 + ], + [ + 24354054, + 89687714 + ], + [ + 43065113, + 31646250 + ], + [ + 965907, + 4863635 + ], + [ + 13630721, + 82311148 + ], + [ + 30318421, + 56752348 + ], + [ + 88976126, + 56788505 + ], + [ + 65574829, + 32974549 + ], + [ + 27362999, + 95506679 + ], + [ + 44147824, + 27849972 + ], + [ + 58108817, + 7146930 + ], + [ + 36303790, + 24978866 + ], + [ + 79001414, + 96036090 + ], + [ + 64594496, + 59530762 + ], + [ + 30009807, + 62772105 + ], + [ + 33405480, + 70507831 + ], + [ + 20836848, + 88499089 + ], + [ + 69321215, + 3045406 + ], + [ + 6889822, + 62742588 + ], + [ + 66570197, + 21426658 + ], + [ + 47885864, + 60506455 + ], + [ + 12033437, + 67715805 + ], + [ + 30170257, + 17308321 + ], + [ + 13167233, + 13091705 + ], + [ + 45960781, + 17051143 + ], + [ + 84509345, + 19718480 + ], + [ + 17683229, + 33715084 + ], + [ + 48732070, + 54861333 + ], + [ + 84563389, + 60453711 + ], + [ + 46898071, + 75823676 + ], + [ + 56423888, + 23926256 + ], + [ + 55823638, + 55958656 + ], + [ + 24100885, + 73098821 + ], + [ + 38073781, + 27526518 + ], + [ + 97048239, + 55820279 + ], + [ + 25563307, + 43188311 + ], + [ + 21625813, + 14161108 + ], + [ + 23167648, + 87817084 + ], + [ + 31913002, + 96911047 + ], + [ + 37589459, + 87125501 + ], + [ + 85613209, + 81983725 + ], + [ + 20392893, + 33608600 + ], + [ + 78742099, + 94001195 + ], + [ + 59287674, + 27060298 + ], + [ + 2268648, + 70389397 + ], + [ + 98796296, + 890968 + ], + [ + 8826164, + 56633275 + ], + [ + 29680452, + 39062213 + ], + [ + 18281056, + 6287335 + ], + [ + 74495872, + 81640721 + ], + [ + 85942485, + 48733954 + ], + [ + 14259679, + 75677308 + ], + [ + 66080792, + 28102755 + ], + [ + 90419156, + 24706170 + ], + [ + 42254439, + 89587437 + ], + [ + 29184266, + 59675667 + ], + [ + 77678955, + 53224631 + ], + [ + 16502947, + 72146271 + ], + [ + 23509469, + 40067127 + ], + [ + 57951341, + 76826015 + ], + [ + 82934893, + 64012283 + ], + [ + 79359340, + 38854535 + ], + [ + 43751351, + 87343175 + ], + [ + 36264078, + 37142569 + ], + [ + 80289818, + 71547840 + ], + [ + 47037878, + 3935409 + ], + [ + 84858646, + 66796629 + ], + [ + 27203159, + 74164830 + ], + [ + 86834512, + 23734943 + ], + [ + 93451223, + 6528524 + ], + [ + 51159443, + 6664814 + ], + [ + 12701722, + 66288925 + ], + [ + 77306151, + 67680129 + ], + [ + 36772244, + 72210959 + ], + [ + 95396680, + 64319092 + ], + [ + 34175446, + 97434216 + ], + [ + 75250461, + 2713821 + ], + [ + 34431940, + 8442808 + ], + [ + 37861231, + 75448316 + ], + [ + 66628262, + 95154188 + ], + [ + 5955041, + 96952521 + ], + [ + 70742803, + 87682298 + ], + [ + 62778174, + 40437711 + ], + [ + 41354398, + 30590797 + ], + [ + 76502828, + 86387881 + ], + [ + 38306866, + 50024781 + ], + [ + 79349830, + 71944818 + ], + [ + 53053564, + 96334563 + ], + [ + 26100256, + 61252324 + ], + [ + 47331493, + 26422153 + ], + [ + 86068938, + 6917177 + ], + [ + 14993145, + 1808426 + ], + [ + 25721287, + 67765678 + ], + [ + 86773898, + 79063634 + ], + [ + 11684880, + 93275953 + ], + [ + 32247224, + 86223276 + ], + [ + 58174578, + 4199301 + ], + [ + 82248587, + 1022647 + ], + [ + 77072907, + 4263324 + ], + [ + 3109672, + 90098534 + ], + [ + 76268375, + 36685674 + ], + [ + 17735163, + 50380865 + ], + [ + 45073048, + 21174919 + ], + [ + 27144709, + 4996439 + ], + [ + 62918025, + 58061195 + ], + [ + 71546466, + 11117592 + ], + [ + 57772318, + 45730451 + ], + [ + 73989172, + 29298259 + ], + [ + 50511828, + 4544869 + ], + [ + 70910469, + 69180304 + ], + [ + 44787707, + 52563810 + ], + [ + 58618140, + 17209383 + ], + [ + 83828539, + 54964489 + ], + [ + 41164842, + 24449901 + ], + [ + 92658926, + 27668452 + ], + [ + 28600274, + 66477773 + ], + [ + 70057408, + 256797 + ], + [ + 53572787, + 95757786 + ], + [ + 99739784, + 65070495 + ], + [ + 88468270, + 16005198 + ], + [ + 86986796, + 88021722 + ], + [ + 624993, + 27115528 + ], + [ + 54800848, + 93030287 + ], + [ + 40463748, + 77758396 + ], + [ + 32496122, + 22069407 + ], + [ + 79777923, + 85630335 + ], + [ + 9547550, + 54203319 + ], + [ + 29417577, + 23387730 + ], + [ + 93025604, + 37268223 + ], + [ + 26334538, + 97193692 + ], + [ + 75424416, + 31103867 + ], + [ + 79035725, + 76068076 + ], + [ + 64842730, + 26469634 + ], + [ + 21990220, + 43543343 + ], + [ + 22401838, + 34841074 + ], + [ + 11116658, + 92405216 + ], + [ + 44257450, + 13203144 + ], + [ + 11531458, + 25597542 + ], + [ + 53780599, + 74966437 + ], + [ + 56436260, + 95144942 + ], + [ + 70475876, + 14490692 + ], + [ + 76437034, + 20466809 + ], + [ + 42791510, + 11154917 + ], + [ + 94191298, + 48189928 + ], + [ + 2708240, + 66630971 + ], + [ + 69790481, + 5728552 + ], + [ + 60763051, + 41244875 + ], + [ + 62798260, + 38880983 + ], + [ + 23372514, + 98417895 + ], + [ + 56747635, + 40475037 + ], + [ + 39988482, + 56276846 + ], + [ + 22435243, + 56518806 + ], + [ + 65091501, + 82684543 + ], + [ + 43947087, + 95228682 + ], + [ + 1027356, + 32918468 + ], + [ + 50806663, + 4358131 + ], + [ + 58873061, + 56486388 + ], + [ + 18507232, + 81981918 + ], + [ + 66557688, + 25506480 + ], + [ + 89109211, + 12971116 + ], + [ + 94529319, + 99730036 + ], + [ + 93862934, + 71001040 + ], + [ + 41863156, + 94938588 + ], + [ + 21023784, + 89463630 + ], + [ + 51324344, + 44516184 + ], + [ + 73223492, + 38555281 + ], + [ + 26557899, + 71856457 + ], + [ + 17655231, + 32305309 + ], + [ + 33509622, + 71214377 + ], + [ + 21657488, + 47375118 + ], + [ + 10671113, + 42791435 + ], + [ + 65180964, + 57637787 + ], + [ + 45594409, + 73311687 + ], + [ + 88107820, + 20301398 + ], + [ + 29946949, + 56762049 + ], + [ + 30859199, + 61020421 + ], + [ + 98747324, + 96322193 + ], + [ + 72434876, + 76435294 + ], + [ + 73143418, + 76881457 + ], + [ + 29284862, + 1764106 + ], + [ + 24859974, + 7646458 + ], + [ + 62925700, + 14590259 + ], + [ + 31086922, + 97032626 + ], + [ + 3427579, + 81507888 + ], + [ + 20687093, + 18579938 + ], + [ + 83563035, + 26341928 + ], + [ + 80321843, + 26235271 + ], + [ + 6523224, + 44336919 + ], + [ + 85200327, + 54700832 + ], + [ + 82083519, + 33387150 + ], + [ + 51430836, + 53734542 + ], + [ + 66216900, + 37125810 + ], + [ + 55451112, + 81531423 + ], + [ + 84019357, + 66716452 + ], + [ + 87107759, + 55064070 + ], + [ + 62461616, + 51536822 + ], + [ + 64476531, + 67794875 + ], + [ + 78980950, + 60351941 + ], + [ + 94446121, + 99193222 + ], + [ + 61326899, + 62292787 + ], + [ + 33559778, + 22185272 + ], + [ + 6541400, + 97586336 + ], + [ + 7318859, + 96849110 + ], + [ + 13399898, + 35505615 + ], + [ + 29384275, + 47790579 + ], + [ + 20438126, + 38262853 + ], + [ + 85798005, + 65416063 + ], + [ + 71243607, + 9119266 + ], + [ + 20012858, + 36192574 + ], + [ + 46950338, + 3967904 + ], + [ + 9716375, + 75675565 + ], + [ + 11277547, + 62111141 + ], + [ + 83071103, + 24101361 + ], + [ + 2002749, + 46902135 + ], + [ + 4835621, + 1137806 + ], + [ + 20129177, + 54230670 + ], + [ + 18087340, + 63930340 + ], + [ + 30677699, + 8726755 + ], + [ + 19790032, + 40986828 + ], + [ + 8000204, + 17325040 + ], + [ + 52477166, + 1482008 + ], + [ + 28479896, + 3757475 + ], + [ + 76529178, + 96486543 + ], + [ + 41820022, + 56528305 + ], + [ + 27525133, + 29268832 + ], + [ + 76914221, + 34809107 + ], + [ + 76899480, + 23328434 + ], + [ + 41671403, + 1849885 + ], + [ + 8641046, + 98453810 + ], + [ + 67140373, + 45800575 + ], + [ + 3706586, + 76622985 + ], + [ + 38025900, + 17817560 + ], + [ + 12820402, + 83259810 + ], + [ + 64614497, + 24279520 + ], + [ + 54802187, + 48645124 + ], + [ + 34658546, + 59117161 + ], + [ + 50622505, + 42750823 + ], + [ + 12863452, + 97184621 + ], + [ + 36412183, + 17502594 + ], + [ + 39098649, + 90271915 + ], + [ + 15226156, + 28233559 + ], + [ + 58987681, + 64780778 + ], + [ + 12697289, + 12593870 + ], + [ + 21578262, + 9992762 + ], + [ + 51974006, + 23986684 + ], + [ + 37946368, + 52752028 + ], + [ + 72278658, + 50416251 + ], + [ + 32574610, + 13843806 + ], + [ + 75061248, + 28359078 + ], + [ + 39982338, + 34721859 + ], + [ + 51887461, + 89297772 + ], + [ + 25243109, + 448482 + ], + [ + 85569466, + 42320727 + ], + [ + 54234129, + 19189346 + ], + [ + 24467942, + 82538266 + ], + [ + 50635065, + 62592130 + ], + [ + 74906390, + 58966144 + ], + [ + 52124016, + 53713487 + ], + [ + 79472967, + 7463254 + ], + [ + 62159907, + 56713642 + ], + [ + 45630172, + 83983839 + ], + [ + 26230673, + 50812277 + ], + [ + 23064008, + 21753838 + ], + [ + 36977989, + 8580516 + ], + [ + 49318526, + 28746003 + ], + [ + 69401007, + 18716909 + ], + [ + 23064817, + 29125681 + ], + [ + 6187600, + 20088764 + ], + [ + 82705114, + 19971407 + ], + [ + 38050381, + 58478816 + ], + [ + 56200995, + 14115814 + ], + [ + 60179201, + 80779287 + ], + [ + 22465880, + 87557335 + ], + [ + 35055403, + 56103927 + ], + [ + 49668365, + 43760699 + ], + [ + 66108660, + 27936449 + ], + [ + 98491127, + 28933634 + ], + [ + 61853411, + 17202584 + ], + [ + 54706806, + 56487808 + ], + [ + 31092730, + 59220765 + ], + [ + 88239842, + 4181797 + ], + [ + 58565946, + 268796 + ], + [ + 92518187, + 36418613 + ], + [ + 32194308, + 89327142 + ], + [ + 94884093, + 52187296 + ], + [ + 44712816, + 83726582 + ], + [ + 94566991, + 38813403 + ], + [ + 63827092, + 89943851 + ], + [ + 6128319, + 50477574 + ], + [ + 51169780, + 28642099 + ], + [ + 30441522, + 97285038 + ], + [ + 60907420, + 43715956 + ], + [ + 19888397, + 26744212 + ], + [ + 30070300, + 61170928 + ], + [ + 10328704, + 87147247 + ], + [ + 40030819, + 87263182 + ], + [ + 43693077, + 85678210 + ], + [ + 76748480, + 30535736 + ], + [ + 94582114, + 49613701 + ], + [ + 52375336, + 79301672 + ], + [ + 55145473, + 98653088 + ], + [ + 75368361, + 65368854 + ], + [ + 70953351, + 91854759 + ], + [ + 64386112, + 53324598 + ], + [ + 11897680, + 93943029 + ], + [ + 1824197, + 71362302 + ], + [ + 33460166, + 59935845 + ], + [ + 31858076, + 31747575 + ], + [ + 43423988, + 17661701 + ], + [ + 91597948, + 5742883 + ], + [ + 44695006, + 16923048 + ], + [ + 92404141, + 29329513 + ], + [ + 96771320, + 9703694 + ], + [ + 21597534, + 22444931 + ], + [ + 56842915, + 21066236 + ], + [ + 1001266, + 27434839 + ], + [ + 14511485, + 58304391 + ], + [ + 8270880, + 12123587 + ], + [ + 95368232, + 24337821 + ], + [ + 26296761, + 1592808 + ], + [ + 9371027, + 9463406 + ], + [ + 24135632, + 67886829 + ], + [ + 4609694, + 26332669 + ], + [ + 75759110, + 25042780 + ], + [ + 58949409, + 45712703 + ], + [ + 45341690, + 60382726 + ], + [ + 52941064, + 79991780 + ], + [ + 8184333, + 12065777 + ], + [ + 68941814, + 22267782 + ], + [ + 36429326, + 94306875 + ], + [ + 4798125, + 90024567 + ], + [ + 82949277, + 48347663 + ], + [ + 99098342, + 41757005 + ], + [ + 51575793, + 21419715 + ], + [ + 63241498, + 250970 + ], + [ + 54824263, + 94298109 + ], + [ + 48709491, + 51771104 + ], + [ + 35106360, + 33384157 + ], + [ + 48116880, + 23757189 + ], + [ + 19523474, + 29864951 + ], + [ + 63652586, + 72331152 + ], + [ + 4481818, + 44648620 + ], + [ + 52761915, + 16111891 + ], + [ + 64652420, + 97912412 + ], + [ + 89332082, + 6924434 + ], + [ + 29130312, + 7419293 + ], + [ + 34467454, + 42274313 + ], + [ + 15579547, + 95743895 + ], + [ + 71129447, + 29651414 + ], + [ + 99563801, + 79600585 + ], + [ + 11081635, + 91899858 + ], + [ + 98871821, + 81590825 + ], + [ + 19267031, + 42871155 + ], + [ + 97777642, + 25988206 + ], + [ + 85668512, + 31826248 + ], + [ + 74048860, + 82334664 + ], + [ + 29469808, + 96446135 + ], + [ + 95792500, + 97106720 + ], + [ + 24527734, + 34030657 + ], + [ + 66382263, + 58774128 + ], + [ + 83449010, + 15230788 + ], + [ + 21659298, + 17277793 + ], + [ + 71144296, + 34906107 + ], + [ + 45616169, + 61339841 + ], + [ + 41818822, + 43139381 + ], + [ + 10208982, + 68764988 + ], + [ + 48652861, + 15057954 + ], + [ + 95175511, + 71128526 + ], + [ + 80309115, + 67146890 + ], + [ + 39324789, + 8080297 + ], + [ + 75924561, + 56973776 + ], + [ + 3507580, + 13942602 + ], + [ + 3710604, + 22053110 + ], + [ + 49836231, + 10673682 + ], + [ + 40652851, + 81928588 + ], + [ + 84611671, + 32922169 + ], + [ + 34078743, + 99081227 + ], + [ + 7757127, + 13407660 + ], + [ + 89124113, + 72256477 + ], + [ + 5420940, + 60700356 + ], + [ + 12050250, + 97527711 + ], + [ + 46164757, + 25992268 + ], + [ + 38313806, + 76412336 + ], + [ + 69549798, + 23748018 + ], + [ + 70071756, + 52147016 + ], + [ + 62641247, + 15701407 + ], + [ + 46619958, + 20299803 + ], + [ + 40138785, + 5311357 + ], + [ + 96698577, + 55506853 + ], + [ + 76447247, + 15604607 + ], + [ + 55451914, + 18090093 + ], + [ + 46830298, + 12989004 + ], + [ + 20409437, + 72727635 + ], + [ + 86570180, + 68658099 + ], + [ + 56234026, + 33053293 + ], + [ + 48623291, + 79254553 + ], + [ + 5539494, + 93987591 + ], + [ + 73496482, + 66335706 + ], + [ + 57356655, + 57233576 + ], + [ + 92419379, + 99911119 + ], + [ + 14870495, + 74236970 + ], + [ + 96608035, + 53514964 + ], + [ + 16541326, + 63924851 + ], + [ + 30760002, + 2063901 + ], + [ + 98178925, + 42754895 + ], + [ + 70839121, + 51327022 + ], + [ + 32431727, + 34232693 + ], + [ + 1915044, + 6163764 + ], + [ + 54292468, + 57005823 + ], + [ + 3689310, + 17037653 + ], + [ + 69988645, + 80370000 + ], + [ + 96512316, + 58907088 + ], + [ + 49694438, + 83783998 + ], + [ + 37241999, + 21943328 + ], + [ + 59053977, + 56430117 + ], + [ + 29901681, + 43736337 + ], + [ + 85846093, + 90963103 + ], + [ + 93559524, + 75124862 + ], + [ + 40190824, + 93188901 + ], + [ + 74795548, + 51087065 + ], + [ + 64321168, + 90890105 + ], + [ + 48018351, + 10880676 + ], + [ + 1122931, + 49730234 + ], + [ + 65595608, + 77718660 + ], + [ + 24727662, + 84417474 + ], + [ + 42639565, + 79973580 + ], + [ + 74432153, + 35472895 + ], + [ + 59691088, + 2866239 + ], + [ + 86713601, + 81859753 + ], + [ + 69950236, + 89896895 + ], + [ + 13502981, + 51268018 + ], + [ + 53755230, + 46369347 + ], + [ + 59039580, + 75596111 + ], + [ + 38808573, + 16416004 + ], + [ + 45911028, + 1763807 + ], + [ + 26841729, + 33604889 + ], + [ + 26193203, + 47887554 + ], + [ + 34894293, + 47508856 + ], + [ + 58373358, + 96363772 + ], + [ + 34216266, + 21958137 + ], + [ + 79686452, + 84200225 + ], + [ + 65030558, + 80103265 + ], + [ + 20488140, + 15403511 + ], + [ + 94255854, + 93673615 + ], + [ + 71931344, + 79060666 + ], + [ + 39892374, + 70894204 + ], + [ + 22172589, + 99802210 + ], + [ + 93704000, + 55680822 + ], + [ + 40645257, + 45552006 + ], + [ + 85122673, + 31674704 + ], + [ + 56590147, + 55835058 + ], + [ + 60371966, + 68618264 + ], + [ + 11683448, + 6054189 + ], + [ + 56136958, + 59260969 + ], + [ + 75723947, + 21641922 + ], + [ + 85891208, + 30173650 + ], + [ + 37328114, + 62108564 + ], + [ + 77524381, + 12254160 + ], + [ + 70746606, + 70719021 + ], + [ + 50260583, + 63453181 + ], + [ + 81984044, + 18932201 + ], + [ + 44398338, + 29694419 + ], + [ + 53922929, + 44085836 + ], + [ + 69216395, + 41790714 + ], + [ + 76009123, + 22565896 + ], + [ + 70314780, + 33419822 + ], + [ + 77520936, + 16884971 + ], + [ + 19539401, + 79957445 + ], + [ + 28702671, + 78584255 + ], + [ + 62988468, + 49695298 + ], + [ + 45386279, + 37266680 + ], + [ + 51415152, + 17755936 + ], + [ + 98343477, + 98640997 + ], + [ + 38672182, + 34849118 + ], + [ + 51954059, + 38485592 + ], + [ + 20962242, + 23399486 + ], + [ + 68489080, + 9706999 + ], + [ + 69622706, + 91458951 + ], + [ + 54697253, + 47082980 + ], + [ + 46069349, + 5550333 + ], + [ + 6448369, + 17621619 + ], + [ + 13951519, + 23750304 + ], + [ + 71516999, + 86267098 + ], + [ + 43277072, + 19031411 + ], + [ + 73333821, + 85706045 + ], + [ + 22032078, + 28041077 + ], + [ + 45782446, + 4467735 + ], + [ + 41970455, + 89401538 + ], + [ + 46496631, + 16860315 + ], + [ + 36427189, + 91595698 + ], + [ + 55503089, + 72852631 + ], + [ + 58310379, + 43138493 + ], + [ + 67403253, + 18353641 + ], + [ + 10191538, + 93197803 + ], + [ + 20540640, + 20420926 + ], + [ + 28435731, + 12607794 + ], + [ + 23825977, + 62182622 + ], + [ + 59920968, + 77369476 + ], + [ + 47299197, + 91204067 + ], + [ + 87748748, + 92289350 + ], + [ + 64774959, + 72255287 + ], + [ + 60781653, + 91066780 + ], + [ + 10057970, + 14626309 + ], + [ + 69367794, + 16158941 + ], + [ + 64631722, + 44127279 + ], + [ + 94926737, + 43313233 + ], + [ + 73958791, + 11100280 + ], + [ + 2850159, + 13470379 + ], + [ + 40593914, + 7519553 + ], + [ + 6686643, + 5242210 + ], + [ + 89958489, + 62450470 + ], + [ + 96679403, + 89016182 + ], + [ + 76581242, + 82775916 + ], + [ + 69099212, + 49214543 + ], + [ + 75230012, + 84588193 + ], + [ + 71422711, + 2429191 + ], + [ + 35746485, + 89091673 + ], + [ + 96518324, + 34941743 + ], + [ + 93134767, + 51689423 + ], + [ + 36485741, + 7925955 + ], + [ + 34149720, + 96470170 + ], + [ + 60773168, + 89853711 + ], + [ + 34453830, + 23493491 + ], + [ + 8606268, + 75009323 + ], + [ + 92108433, + 73074784 + ], + [ + 57369066, + 20609267 + ], + [ + 78379549, + 66577418 + ], + [ + 47556641, + 80290925 + ], + [ + 33022269, + 60966995 + ], + [ + 41533752, + 81308944 + ], + [ + 47363327, + 49305752 + ], + [ + 83877153, + 88120129 + ], + [ + 928974, + 13130271 + ], + [ + 36140605, + 49502229 + ], + [ + 72816305, + 79881139 + ], + [ + 78382604, + 16385060 + ], + [ + 92133201, + 49990691 + ], + [ + 27227800, + 59085749 + ], + [ + 78729878, + 99245324 + ], + [ + 70871322, + 54999202 + ], + [ + 79956898, + 53909049 + ], + [ + 76971930, + 57911365 + ], + [ + 45517571, + 84567857 + ], + [ + 76921070, + 74162553 + ], + [ + 32321654, + 22683456 + ], + [ + 72834954, + 75364460 + ], + [ + 19095767, + 33655789 + ], + [ + 39775695, + 6917689 + ], + [ + 86873271, + 42360616 + ], + [ + 2574703, + 22903161 + ], + [ + 88422766, + 50766903 + ], + [ + 69278208, + 52039547 + ], + [ + 78292891, + 88561195 + ], + [ + 1024026, + 85180573 + ], + [ + 40482681, + 10539905 + ], + [ + 47638522, + 24331912 + ], + [ + 62953742, + 41038556 + ], + [ + 64633950, + 74395552 + ], + [ + 88888520, + 42625054 + ], + [ + 40331976, + 64403459 + ], + [ + 63012474, + 64978748 + ], + [ + 38244887, + 84877943 + ], + [ + 33285684, + 94222857 + ], + [ + 44976048, + 94244280 + ], + [ + 56097486, + 55360127 + ], + [ + 50511044, + 39746967 + ], + [ + 99550055, + 1201882 + ], + [ + 81337049, + 80614587 + ], + [ + 64631260, + 33535214 + ], + [ + 46660727, + 28910741 + ], + [ + 80419319, + 63132887 + ], + [ + 36640255, + 68615837 + ], + [ + 58936830, + 42598501 + ], + [ + 66077568, + 30165179 + ], + [ + 40421777, + 68650570 + ], + [ + 96356817, + 31501648 + ], + [ + 25905336, + 2678201 + ], + [ + 40158457, + 30159386 + ], + [ + 77762403, + 28382637 + ], + [ + 48592812, + 67531673 + ], + [ + 14015970, + 89431953 + ], + [ + 1530978, + 82545661 + ], + [ + 55489777, + 4083672 + ], + [ + 82789900, + 72717309 + ], + [ + 58729265, + 327788 + ], + [ + 54086642, + 68128277 + ], + [ + 35300472, + 68592113 + ], + [ + 89977168, + 41962320 + ], + [ + 48803372, + 4196405 + ], + [ + 36265306, + 54661459 + ], + [ + 40409217, + 45036293 + ], + [ + 17569608, + 16865251 + ], + [ + 9286534, + 89910687 + ], + [ + 41950552, + 66140389 + ], + [ + 36502649, + 25040229 + ], + [ + 52575242, + 87818672 + ], + [ + 90040206, + 71043935 + ], + [ + 1335442, + 35646176 + ], + [ + 65927378, + 88458568 + ], + [ + 50299199, + 65869047 + ], + [ + 74297393, + 11410825 + ], + [ + 40171026, + 6528920 + ], + [ + 13616722, + 86281515 + ], + [ + 11557631, + 44045872 + ], + [ + 49554065, + 36558698 + ], + [ + 91557352, + 53113467 + ], + [ + 4027918, + 5801147 + ], + [ + 34361237, + 18530049 + ], + [ + 8026875, + 45932238 + ], + [ + 18794041, + 70116047 + ], + [ + 6072397, + 33319524 + ], + [ + 68892596, + 2331110 + ], + [ + 26197118, + 9607640 + ], + [ + 19115685, + 32966852 + ], + [ + 44008731, + 95657083 + ], + [ + 60260330, + 31794531 + ], + [ + 97920669, + 10526293 + ], + [ + 27435826, + 97006510 + ], + [ + 3457716, + 15569997 + ], + [ + 62893521, + 41800847 + ], + [ + 45302271, + 91471951 + ], + [ + 20872325, + 43746892 + ], + [ + 46254317, + 49846324 + ], + [ + 2190334, + 67512205 + ], + [ + 49290794, + 78392522 + ], + [ + 38232153, + 37975560 + ], + [ + 13307243, + 86192630 + ], + [ + 97373613, + 90333966 + ], + [ + 24146793, + 30783730 + ], + [ + 44202657, + 97964466 + ], + [ + 2864740, + 40960961 + ], + [ + 93082948, + 39196090 + ], + [ + 30156475, + 88840964 + ], + [ + 24975346, + 86924925 + ], + [ + 52960887, + 15124756 + ], + [ + 82635512, + 82704776 + ], + [ + 1771939, + 63159346 + ], + [ + 37207466, + 34015282 + ], + [ + 39767831, + 89076072 + ], + [ + 43829062, + 83098309 + ], + [ + 41014494, + 8088334 + ], + [ + 47592435, + 38153322 + ], + [ + 47039684, + 86226303 + ], + [ + 93376179, + 96265109 + ], + [ + 60225078, + 82112945 + ], + [ + 48442391, + 82204679 + ], + [ + 43604773, + 50767860 + ], + [ + 55730962, + 5091168 + ], + [ + 88031612, + 37707557 + ], + [ + 8033420, + 79326545 + ], + [ + 5128569, + 31041674 + ], + [ + 57857594, + 34659845 + ], + [ + 95900538, + 57920962 + ], + [ + 3024237, + 760149 + ], + [ + 12347600, + 74726278 + ], + [ + 74474118, + 17527685 + ], + [ + 95136371, + 45610829 + ], + [ + 97453868, + 3992971 + ], + [ + 78394795, + 47134456 + ], + [ + 7323836, + 55602426 + ], + [ + 21705324, + 99741776 + ], + [ + 58610358, + 3695367 + ], + [ + 65602806, + 48822159 + ], + [ + 34290330, + 97046428 + ], + [ + 59665285, + 30105888 + ], + [ + 62601795, + 29731057 + ], + [ + 1465966, + 59174043 + ], + [ + 84398010, + 54499555 + ], + [ + 92231123, + 14528302 + ], + [ + 91815117, + 49823483 + ], + [ + 67470253, + 52053149 + ], + [ + 7023620, + 23804776 + ], + [ + 9382520, + 68530885 + ], + [ + 4437518, + 61709901 + ], + [ + 64066889, + 49369652 + ], + [ + 37564235, + 56513931 + ], + [ + 60573384, + 79692348 + ], + [ + 40803607, + 27728355 + ], + [ + 4336826, + 46461796 + ], + [ + 62390675, + 35459467 + ], + [ + 13186691, + 66968217 + ], + [ + 20797715, + 5897108 + ], + [ + 98818521, + 86500293 + ], + [ + 91818772, + 52047186 + ], + [ + 23607701, + 32986396 + ], + [ + 73660360, + 61017962 + ], + [ + 16559454, + 56972634 + ], + [ + 92686496, + 18302603 + ], + [ + 35363090, + 44645627 + ], + [ + 3720205, + 57587578 + ], + [ + 89559721, + 3296919 + ], + [ + 85283567, + 19215700 + ], + [ + 30900612, + 85188263 + ], + [ + 68415974, + 94956082 + ], + [ + 27205065, + 2411798 + ], + [ + 68648847, + 80316705 + ], + [ + 32743674, + 66463190 + ], + [ + 13372201, + 77249377 + ], + [ + 41871042, + 26538377 + ], + [ + 3401810, + 77779238 + ], + [ + 63817611, + 89199553 + ], + [ + 68294816, + 43586260 + ], + [ + 73010019, + 86584577 + ], + [ + 69212993, + 27743734 + ], + [ + 95507735, + 55903044 + ], + [ + 15884258, + 320615 + ], + [ + 25496945, + 7064846 + ], + [ + 10594412, + 56613867 + ], + [ + 59947951, + 73814510 + ], + [ + 24567143, + 22815990 + ], + [ + 52721371, + 79707066 + ], + [ + 71709248, + 3590785 + ], + [ + 23467198, + 85424658 + ], + [ + 53397676, + 96989458 + ], + [ + 21314552, + 96301624 + ], + [ + 49216430, + 20914376 + ], + [ + 96505508, + 12883309 + ], + [ + 1309987, + 95630883 + ], + [ + 18042196, + 87725676 + ], + [ + 41298753, + 46151254 + ], + [ + 63517643, + 72263598 + ], + [ + 14607928, + 56669723 + ], + [ + 88701408, + 95008774 + ], + [ + 70157568, + 91299797 + ], + [ + 11441357, + 33289266 + ], + [ + 56945471, + 49057318 + ], + [ + 52528084, + 91216695 + ], + [ + 80641319, + 91250674 + ], + [ + 15819742, + 35838477 + ], + [ + 16817750, + 86952463 + ], + [ + 29786435, + 65586385 + ], + [ + 91529089, + 64649329 + ], + [ + 88305626, + 91499441 + ], + [ + 57244407, + 84140239 + ], + [ + 97660817, + 9345734 + ], + [ + 28613904, + 24536987 + ], + [ + 67522077, + 2843049 + ], + [ + 16518712, + 29243858 + ], + [ + 57688112, + 15465788 + ], + [ + 83286591, + 66502255 + ], + [ + 78953261, + 73539077 + ], + [ + 19762729, + 9852078 + ], + [ + 23196635, + 68788752 + ], + [ + 75458415, + 16430607 + ], + [ + 92322077, + 37552054 + ], + [ + 74099931, + 29549533 + ], + [ + 28259272, + 94997606 + ], + [ + 22320096, + 41731015 + ], + [ + 93513815, + 11032212 + ], + [ + 66092003, + 56385982 + ], + [ + 98563094, + 29137497 + ], + [ + 25229322, + 51896632 + ], + [ + 75723570, + 96950770 + ], + [ + 67118815, + 82676082 + ], + [ + 78568754, + 45479372 + ], + [ + 16366832, + 31743348 + ], + [ + 80723935, + 56174545 + ], + [ + 61103004, + 62777699 + ], + [ + 79562816, + 3381084 + ], + [ + 91221450, + 74105734 + ], + [ + 81649768, + 23236039 + ], + [ + 63009277, + 10528103 + ], + [ + 39205257, + 33190320 + ], + [ + 26435170, + 14309327 + ], + [ + 64709677, + 92994580 + ], + [ + 19847798, + 18779596 + ], + [ + 23821277, + 15773561 + ], + [ + 37427790, + 84957863 + ], + [ + 59801189, + 22427583 + ], + [ + 89794819, + 17847320 + ], + [ + 27469931, + 10743023 + ], + [ + 91653334, + 86152300 + ], + [ + 39525229, + 34944972 + ], + [ + 23686823, + 19208417 + ], + [ + 41960575, + 38102859 + ], + [ + 41441789, + 25842360 + ], + [ + 32530395, + 78899889 + ], + [ + 96969196, + 81218435 + ], + [ + 12792576, + 94040557 + ], + [ + 28779155, + 58234744 + ], + [ + 54884609, + 94089081 + ], + [ + 38079692, + 73945214 + ], + [ + 65805021, + 19706981 + ], + [ + 69588851, + 97612216 + ], + [ + 90375706, + 12189656 + ], + [ + 78866884, + 86060978 + ], + [ + 12844510, + 65752917 + ], + [ + 25500242, + 67305178 + ], + [ + 84136371, + 93321305 + ], + [ + 19057602, + 10130800 + ], + [ + 12020402, + 59656868 + ], + [ + 90483748, + 15874809 + ], + [ + 90811522, + 88928556 + ], + [ + 36308451, + 7852742 + ], + [ + 86300642, + 97386777 + ], + [ + 10198462, + 41980109 + ], + [ + 70297708, + 23907739 + ], + [ + 27531093, + 23868700 + ], + [ + 69401848, + 69282373 + ], + [ + 75145924, + 82894769 + ], + [ + 73797842, + 40193493 + ], + [ + 78362015, + 20926394 + ], + [ + 55082361, + 45083502 + ], + [ + 64775179, + 9802525 + ], + [ + 41885974, + 82285908 + ], + [ + 51496416, + 80138096 + ], + [ + 62286361, + 25917192 + ], + [ + 37671474, + 23207526 + ], + [ + 20695846, + 15385284 + ], + [ + 61789362, + 84885832 + ], + [ + 47899092, + 958940 + ], + [ + 60745453, + 51793195 + ], + [ + 18478110, + 48299670 + ], + [ + 90171540, + 19355619 + ], + [ + 80217901, + 71346864 + ], + [ + 41320477, + 642374 + ], + [ + 37403469, + 21058086 + ], + [ + 11009180, + 32307204 + ], + [ + 74351256, + 46091777 + ], + [ + 9578932, + 13982747 + ], + [ + 69860698, + 21402749 + ], + [ + 53033098, + 24257472 + ], + [ + 61235309, + 60112646 + ], + [ + 97680545, + 9615751 + ], + [ + 65263401, + 72246013 + ], + [ + 93165305, + 71720033 + ], + [ + 55618947, + 17695232 + ], + [ + 53179208, + 27988489 + ], + [ + 19415147, + 30855165 + ], + [ + 31528779, + 61391826 + ], + [ + 98663765, + 56750387 + ], + [ + 55354689, + 37727716 + ], + [ + 68678469, + 99330711 + ], + [ + 56446753, + 10531113 + ], + [ + 72268327, + 41085286 + ], + [ + 68789943, + 59605272 + ], + [ + 50727876, + 75370684 + ], + [ + 49249586, + 67344154 + ], + [ + 9655405, + 34541950 + ], + [ + 97894283, + 24112549 + ], + [ + 86006335, + 26642358 + ], + [ + 29494827, + 32073338 + ], + [ + 6566117, + 65814923 + ], + [ + 51687877, + 97881837 + ], + [ + 15464083, + 58475716 + ], + [ + 27205990, + 39647322 + ], + [ + 60672026, + 23164182 + ], + [ + 10928808, + 46392685 + ], + [ + 68058369, + 85945071 + ], + [ + 18009059, + 12943886 + ], + [ + 55208246, + 78370737 + ], + [ + 91850641, + 58549939 + ], + [ + 66201286, + 78179661 + ], + [ + 90312421, + 31085044 + ], + [ + 48693824, + 49168292 + ], + [ + 30653741, + 17109024 + ], + [ + 46690600, + 92760339 + ], + [ + 61317955, + 44031148 + ], + [ + 67146350, + 25938967 + ], + [ + 98753582, + 35729837 + ], + [ + 22276732, + 71388875 + ], + [ + 45273949, + 67731943 + ], + [ + 59145379, + 5329821 + ], + [ + 66478073, + 83587778 + ], + [ + 44487098, + 33699593 + ], + [ + 13338074, + 70204199 + ], + [ + 45664064, + 31255721 + ], + [ + 97135434, + 15783094 + ], + [ + 95649468, + 40372816 + ], + [ + 88673402, + 67647185 + ], + [ + 16565113, + 68089510 + ], + [ + 13279154, + 13207304 + ], + [ + 86761095, + 67773018 + ], + [ + 8426053, + 30073966 + ], + [ + 61834381, + 17786544 + ], + [ + 39520265, + 6355172 + ], + [ + 66319842, + 38739200 + ], + [ + 20678499, + 56111835 + ], + [ + 68148691, + 50376212 + ], + [ + 16566500, + 52582104 + ], + [ + 31044107, + 95320855 + ], + [ + 41920299, + 63618399 + ], + [ + 91783465, + 77206225 + ], + [ + 44859128, + 23796948 + ], + [ + 74135516, + 72982148 + ], + [ + 87433075, + 33714179 + ], + [ + 6574960, + 45297465 + ], + [ + 41124877, + 95427494 + ], + [ + 85890018, + 32208340 + ], + [ + 3355733, + 82639485 + ], + [ + 52381541, + 86453306 + ], + [ + 77750224, + 95047373 + ], + [ + 7239941, + 44284314 + ], + [ + 65403450, + 81058557 + ], + [ + 91030527, + 65703359 + ], + [ + 27245637, + 35833606 + ], + [ + 26835635, + 50465175 + ], + [ + 69754248, + 88429203 + ], + [ + 29898650, + 96002615 + ], + [ + 87963276, + 71429225 + ], + [ + 85628303, + 98335786 + ], + [ + 33958547, + 73760388 + ], + [ + 54242582, + 99632143 + ], + [ + 40583876, + 72094623 + ], + [ + 45994403, + 21883667 + ], + [ + 46475437, + 53125262 + ], + [ + 35711083, + 31030926 + ], + [ + 79030842, + 10779006 + ], + [ + 41258986, + 48685933 + ], + [ + 84242854, + 59668531 + ], + [ + 97267110, + 34014609 + ], + [ + 18222173, + 84422573 + ], + [ + 66308261, + 32074129 + ], + [ + 5580120, + 1447199 + ], + [ + 2188281, + 36785680 + ], + [ + 99227826, + 5191006 + ], + [ + 82110302, + 97340133 + ], + [ + 10350347, + 29565795 + ], + [ + 88340904, + 59158103 + ], + [ + 56666158, + 73931702 + ], + [ + 43217782, + 61018863 + ], + [ + 72078164, + 4886753 + ], + [ + 23355037, + 20947778 + ], + [ + 86328265, + 70997292 + ], + [ + 32724467, + 41342783 + ], + [ + 68712492, + 67815107 + ], + [ + 39271895, + 48256270 + ], + [ + 50427369, + 66611824 + ], + [ + 31530091, + 90905268 + ], + [ + 26425456, + 73296258 + ], + [ + 43324606, + 54844675 + ], + [ + 12113843, + 70299510 + ], + [ + 2403507, + 80669290 + ], + [ + 67544833, + 73857871 + ], + [ + 36309924, + 8507896 + ], + [ + 53411387, + 40916146 + ], + [ + 80803952, + 80618897 + ], + [ + 35251681, + 13296290 + ], + [ + 76755784, + 9914862 + ], + [ + 31439017, + 77256377 + ], + [ + 94425402, + 96558148 + ], + [ + 30514270, + 30725357 + ], + [ + 79851530, + 9328902 + ], + [ + 64036973, + 13325179 + ], + [ + 70488825, + 7398502 + ], + [ + 34133941, + 56457218 + ], + [ + 24069258, + 90321452 + ], + [ + 64185913, + 6545804 + ], + [ + 77054439, + 48058000 + ], + [ + 95313954, + 12305558 + ], + [ + 1522182, + 65974205 + ], + [ + 40174446, + 64257140 + ], + [ + 33309673, + 79534673 + ], + [ + 9431570, + 23478129 + ], + [ + 62744208, + 62203890 + ], + [ + 19179321, + 44021786 + ], + [ + 6395714, + 19021572 + ], + [ + 97474668, + 37225064 + ], + [ + 16292690, + 85013868 + ], + [ + 35623603, + 6161539 + ], + [ + 75551608, + 2114602 + ], + [ + 82200617, + 51441708 + ], + [ + 84968092, + 67307695 + ], + [ + 86739865, + 15183902 + ], + [ + 14170353, + 59354600 + ], + [ + 21295633, + 47049340 + ], + [ + 87616540, + 36889402 + ], + [ + 86512601, + 50410834 + ], + [ + 14590945, + 18267539 + ], + [ + 97085232, + 75383466 + ], + [ + 5905543, + 63614242 + ], + [ + 52137103, + 29717781 + ], + [ + 63796180, + 42287736 + ], + [ + 1152717, + 42994159 + ], + [ + 31969436, + 77193595 + ], + [ + 53046132, + 65332751 + ], + [ + 99368476, + 62463493 + ], + [ + 27010142, + 41621527 + ], + [ + 42292714, + 8754159 + ], + [ + 58865982, + 15818229 + ], + [ + 82508839, + 93265122 + ], + [ + 54294034, + 69250449 + ], + [ + 46032660, + 58541878 + ], + [ + 40181357, + 97100330 + ], + [ + 77145932, + 28477276 + ], + [ + 22465578, + 98371157 + ], + [ + 20376553, + 36471848 + ], + [ + 70079055, + 2168211 + ], + [ + 23006130, + 18845386 + ], + [ + 18764755, + 80483616 + ], + [ + 78063228, + 50124612 + ], + [ + 85566846, + 96315619 + ], + [ + 86957609, + 31124243 + ], + [ + 53664684, + 56803140 + ], + [ + 94564079, + 41542934 + ], + [ + 48170917, + 63893495 + ], + [ + 26023972, + 95423940 + ], + [ + 51205876, + 62867677 + ], + [ + 57275337, + 56625438 + ], + [ + 39567288, + 22312390 + ], + [ + 13115092, + 53121537 + ], + [ + 41275907, + 69779629 + ], + [ + 99719086, + 28576738 + ], + [ + 35068138, + 28903397 + ], + [ + 84223379, + 65437073 + ], + [ + 98549353, + 35298653 + ], + [ + 71243647, + 15888976 + ], + [ + 97831251, + 9853823 + ], + [ + 90995985, + 40553865 + ], + [ + 84792414, + 86157246 + ], + [ + 74222627, + 12709806 + ], + [ + 74790143, + 33525210 + ], + [ + 75822698, + 11734483 + ], + [ + 36102274, + 7447988 + ], + [ + 16304965, + 7186291 + ], + [ + 5455036, + 35249035 + ], + [ + 81659195, + 21491990 + ], + [ + 91399465, + 33975398 + ], + [ + 65779846, + 63846366 + ], + [ + 27788384, + 80490763 + ], + [ + 88724620, + 69720503 + ], + [ + 45042960, + 31136890 + ], + [ + 42679622, + 7679268 + ], + [ + 6256574, + 86839482 + ], + [ + 94504244, + 81533197 + ], + [ + 48762476, + 3707148 + ], + [ + 74156950, + 97379103 + ], + [ + 2129903, + 95370147 + ], + [ + 82362444, + 51264598 + ], + [ + 17968218, + 41544703 + ], + [ + 52758388, + 98139216 + ], + [ + 33355104, + 26120480 + ], + [ + 22022013, + 86824696 + ], + [ + 19944775, + 39891054 + ], + [ + 10536780, + 99476550 + ], + [ + 50272135, + 68362141 + ], + [ + 94582779, + 62693285 + ], + [ + 21604845, + 8784020 + ], + [ + 6368273, + 37414470 + ], + [ + 39846305, + 5565597 + ], + [ + 20121053, + 60341862 + ], + [ + 42227381, + 56512504 + ], + [ + 77066116, + 56338587 + ], + [ + 99663306, + 44170642 + ], + [ + 60966253, + 36740810 + ], + [ + 37612816, + 79880297 + ], + [ + 49796668, + 96302843 + ], + [ + 75694748, + 26050680 + ], + [ + 88674274, + 6109213 + ], + [ + 13391871, + 27510666 + ], + [ + 59420517, + 84974786 + ], + [ + 72368199, + 79351398 + ], + [ + 38079669, + 96967833 + ], + [ + 46511581, + 19298415 + ], + [ + 67843795, + 79480475 + ], + [ + 27923948, + 81309612 + ], + [ + 72892378, + 9460118 + ], + [ + 62264371, + 75263670 + ], + [ + 2486048, + 32404236 + ], + [ + 68706252, + 37641556 + ], + [ + 65435373, + 52395601 + ], + [ + 14944038, + 79141874 + ], + [ + 59278652, + 72543503 + ], + [ + 8921197, + 71514573 + ], + [ + 87442743, + 5088980 + ], + [ + 74863908, + 84090843 + ], + [ + 98269628, + 1196472 + ], + [ + 73314994, + 78539838 + ], + [ + 39413375, + 69801983 + ], + [ + 52144070, + 92277757 + ], + [ + 13431549, + 65976078 + ], + [ + 93996926, + 1690397 + ], + [ + 81074612, + 69023147 + ], + [ + 35791696, + 27550864 + ], + [ + 21645069, + 29590934 + ], + [ + 32902294, + 68707466 + ], + [ + 75045485, + 14920171 + ], + [ + 87582324, + 29042059 + ], + [ + 99230985, + 790498 + ], + [ + 48852365, + 32849321 + ], + [ + 63371102, + 18011000 + ], + [ + 8700064, + 82766678 + ], + [ + 2710229, + 99382585 + ], + [ + 3267732, + 57456784 + ], + [ + 55748857, + 58493902 + ], + [ + 91742547, + 78065045 + ], + [ + 40978160, + 31981671 + ], + [ + 44118, + 15277196 + ], + [ + 7773062, + 820484 + ], + [ + 71103963, + 52163067 + ], + [ + 98192732, + 64692951 + ], + [ + 38809097, + 84629091 + ], + [ + 54169743, + 78739499 + ], + [ + 31211522, + 57432202 + ], + [ + 72788500, + 21668033 + ], + [ + 6354945, + 79560034 + ], + [ + 66221143, + 84737730 + ], + [ + 81840678, + 11996159 + ], + [ + 29797505, + 11838109 + ], + [ + 26104579, + 970815 + ], + [ + 82124176, + 73803473 + ], + [ + 27178206, + 94643701 + ], + [ + 15399266, + 10009662 + ], + [ + 46273667, + 37499965 + ], + [ + 62825673, + 30916880 + ], + [ + 3408734, + 74390990 + ], + [ + 82571147, + 13008641 + ], + [ + 85005516, + 67415903 + ], + [ + 37420715, + 34759181 + ], + [ + 55156091, + 46122575 + ], + [ + 94169233, + 84114595 + ], + [ + 61596868, + 79030887 + ], + [ + 94148186, + 63160573 + ], + [ + 65288887, + 97803475 + ], + [ + 23089963, + 12281101 + ], + [ + 92902315, + 39725952 + ], + [ + 73176997, + 501177 + ], + [ + 38390788, + 34219009 + ], + [ + 32609880, + 45611940 + ], + [ + 33866929, + 47716643 + ], + [ + 19314589, + 55346401 + ], + [ + 1832839, + 70134220 + ], + [ + 89145670, + 77525659 + ], + [ + 97254102, + 5455267 + ], + [ + 31508961, + 16317765 + ], + [ + 79812375, + 66884572 + ], + [ + 21516230, + 81720656 + ], + [ + 26423368, + 4826930 + ], + [ + 36165767, + 71969590 + ], + [ + 61985813, + 31241666 + ], + [ + 16317649, + 34266965 + ], + [ + 61184196, + 51456556 + ], + [ + 76818638, + 71749496 + ], + [ + 24749558, + 92720576 + ], + [ + 44012473, + 5024127 + ], + [ + 8348563, + 77364729 + ], + [ + 79323968, + 11684125 + ], + [ + 91344936, + 30471787 + ], + [ + 90313389, + 17985738 + ], + [ + 64660591, + 66525630 + ], + [ + 14551239, + 6840558 + ], + [ + 98355256, + 36686818 + ], + [ + 9784481, + 50613222 + ], + [ + 38179816, + 91792068 + ], + [ + 93845843, + 21342757 + ], + [ + 15389832, + 96986958 + ], + [ + 47566190, + 64983209 + ], + [ + 63643014, + 57903003 + ], + [ + 69117801, + 3562321 + ], + [ + 14077961, + 85264510 + ], + [ + 40688771, + 97872664 + ], + [ + 55741801, + 8481566 + ], + [ + 28320758, + 22893653 + ], + [ + 96668100, + 73466628 + ], + [ + 83527208, + 48205399 + ], + [ + 5294501, + 91245075 + ], + [ + 56712022, + 90485842 + ], + [ + 96798214, + 92589573 + ], + [ + 34278403, + 17687232 + ], + [ + 39393186, + 38140029 + ], + [ + 65334502, + 42795423 + ], + [ + 64885526, + 2776815 + ], + [ + 36261719, + 86072225 + ], + [ + 20881738, + 82258356 + ], + [ + 64578747, + 85920687 + ], + [ + 97801666, + 72667869 + ], + [ + 92028913, + 62153855 + ], + [ + 42395926, + 28112956 + ], + [ + 40653158, + 67944765 + ], + [ + 18383171, + 52265775 + ], + [ + 36204607, + 39843298 + ], + [ + 33180470, + 26231096 + ], + [ + 30276386, + 77699277 + ], + [ + 11907086, + 73716034 + ], + [ + 70884622, + 40975538 + ], + [ + 40952842, + 29538325 + ], + [ + 34196341, + 70493126 + ], + [ + 98047174, + 6551018 + ], + [ + 5655959, + 18682666 + ], + [ + 43632394, + 49622518 + ], + [ + 34308819, + 57256841 + ], + [ + 76312252, + 70096468 + ], + [ + 65121954, + 70670935 + ], + [ + 83941243, + 60532753 + ], + [ + 30941835, + 9213563 + ], + [ + 17948744, + 7758521 + ], + [ + 95488418, + 90289828 + ], + [ + 65844411, + 55993161 + ], + [ + 80038563, + 1369353 + ], + [ + 34793070, + 67013761 + ], + [ + 95850431, + 15003650 + ], + [ + 60980581, + 37210438 + ], + [ + 56109144, + 86165106 + ], + [ + 39233917, + 67467968 + ], + [ + 99580903, + 9156409 + ], + [ + 31042878, + 52575772 + ], + [ + 44690142, + 58916465 + ], + [ + 2148919, + 21183737 + ], + [ + 69619382, + 19576045 + ], + [ + 34297311, + 4178917 + ], + [ + 79409459, + 11013176 + ], + [ + 24339842, + 93615755 + ], + [ + 87621910, + 50483656 + ], + [ + 95987215, + 44988523 + ], + [ + 10589443, + 44535608 + ], + [ + 18618602, + 22080492 + ], + [ + 28379397, + 99109251 + ], + [ + 22409619, + 3538174 + ], + [ + 65098579, + 86565180 + ], + [ + 54807943, + 32799719 + ], + [ + 59202261, + 66262656 + ], + [ + 48950439, + 62770164 + ], + [ + 36424363, + 7846647 + ], + [ + 14223098, + 27244483 + ], + [ + 3853842, + 89384771 + ], + [ + 92048810, + 35613051 + ], + [ + 99972975, + 95939462 + ], + [ + 36410277, + 7521136 + ], + [ + 85988903, + 71560796 + ], + [ + 50485063, + 80994770 + ], + [ + 85343688, + 36064742 + ], + [ + 36627550, + 10349753 + ], + [ + 11900592, + 85047587 + ], + [ + 42416115, + 59371272 + ], + [ + 58006524, + 58217066 + ], + [ + 77903094, + 80785983 + ], + [ + 96751869, + 80473634 + ], + [ + 67539900, + 41964810 + ], + [ + 964700, + 79735251 + ], + [ + 48554609, + 28800966 + ], + [ + 70614327, + 567332 + ], + [ + 10540674, + 19592780 + ], + [ + 82137425, + 14935551 + ], + [ + 14459695, + 63753358 + ], + [ + 88801100, + 93550277 + ], + [ + 50976792, + 20468453 + ], + [ + 78524706, + 87848007 + ], + [ + 2352165, + 11722063 + ], + [ + 46309364, + 41585066 + ], + [ + 37551202, + 27454603 + ], + [ + 84181316, + 94785148 + ], + [ + 18834080, + 17463268 + ], + [ + 94393276, + 51665885 + ], + [ + 42943850, + 57278690 + ], + [ + 28010799, + 93892629 + ], + [ + 44547157, + 96777949 + ], + [ + 6587354, + 53809697 + ], + [ + 26500213, + 97201730 + ], + [ + 65086965, + 4246107 + ], + [ + 2288253, + 96363041 + ], + [ + 57453737, + 33293087 + ], + [ + 33658068, + 35050683 + ], + [ + 73135030, + 86873288 + ], + [ + 6452969, + 43620323 + ], + [ + 15008227, + 40748988 + ], + [ + 19443165, + 31356258 + ], + [ + 46906676, + 45496232 + ], + [ + 10137013, + 97546954 + ], + [ + 91208416, + 90813584 + ], + [ + 54066949, + 30188117 + ], + [ + 53412985, + 46908726 + ], + [ + 57183301, + 37468900 + ], + [ + 40041275, + 39468779 + ], + [ + 37411941, + 46471739 + ], + [ + 82548488, + 30278594 + ], + [ + 27262723, + 66428849 + ], + [ + 86424109, + 17021702 + ], + [ + 30744487, + 92250155 + ], + [ + 77182408, + 67492847 + ], + [ + 70095321, + 46439104 + ], + [ + 2931176, + 95504072 + ], + [ + 64822500, + 18300446 + ], + [ + 50282612, + 65516902 + ], + [ + 83169794, + 42934650 + ], + [ + 44089436, + 12624230 + ], + [ + 77210869, + 84503819 + ], + [ + 83093139, + 26521475 + ], + [ + 10483758, + 49280637 + ], + [ + 8302506, + 90346681 + ], + [ + 66846360, + 14360961 + ], + [ + 75839667, + 63030212 + ], + [ + 65561928, + 96322073 + ], + [ + 11962192, + 77387048 + ], + [ + 42705648, + 69081701 + ], + [ + 82185854, + 91866395 + ], + [ + 8838970, + 48862904 + ], + [ + 99608012, + 81676030 + ], + [ + 35652423, + 74000864 + ], + [ + 72098152, + 22196061 + ], + [ + 90141131, + 45800947 + ], + [ + 64396249, + 83861121 + ], + [ + 53252087, + 25771130 + ], + [ + 75088493, + 4791785 + ], + [ + 20409109, + 17324888 + ], + [ + 31725969, + 9739353 + ], + [ + 74507388, + 14310895 + ], + [ + 16957810, + 39153610 + ], + [ + 45279460, + 79361498 + ], + [ + 54792643, + 31089102 + ], + [ + 41830383, + 70546060 + ], + [ + 80937886, + 54572917 + ], + [ + 97570546, + 85959636 + ], + [ + 11607003, + 49856429 + ], + [ + 42599857, + 79348781 + ], + [ + 4748436, + 29564474 + ], + [ + 85845403, + 1425195 + ], + [ + 53946274, + 47318715 + ], + [ + 11285686, + 60280194 + ], + [ + 74779148, + 33387008 + ], + [ + 76064154, + 43711240 + ], + [ + 32850819, + 53838637 + ], + [ + 45926461, + 22735054 + ], + [ + 50294773, + 90132667 + ], + [ + 57123746, + 70807858 + ], + [ + 43964962, + 37471375 + ], + [ + 31390329, + 2734917 + ], + [ + 984004, + 36785430 + ], + [ + 33230375, + 10828199 + ], + [ + 90001689, + 46142641 + ], + [ + 1802165, + 22296209 + ], + [ + 14484331, + 23268427 + ], + [ + 3052831, + 99712297 + ], + [ + 36255380, + 23118667 + ], + [ + 67217128, + 22055718 + ], + [ + 2744968, + 2624040 + ], + [ + 40565079, + 8851491 + ], + [ + 17455883, + 77916202 + ], + [ + 51317426, + 71889322 + ], + [ + 87902611, + 61885144 + ], + [ + 81885470, + 79216899 + ], + [ + 92523065, + 74137011 + ], + [ + 6637789, + 39565287 + ], + [ + 88163878, + 33905911 + ], + [ + 90897294, + 99905627 + ], + [ + 64878277, + 46758528 + ], + [ + 92699165, + 85345162 + ], + [ + 62778489, + 32548763 + ], + [ + 376714, + 27754403 + ], + [ + 85769868, + 98128825 + ], + [ + 70921425, + 19299350 + ], + [ + 2819118, + 8752392 + ], + [ + 10692578, + 99531212 + ], + [ + 22809333, + 93727364 + ], + [ + 10743514, + 25415236 + ], + [ + 86934642, + 6343041 + ], + [ + 34109557, + 66178892 + ], + [ + 16036640, + 22461812 + ], + [ + 64794917, + 72111284 + ], + [ + 59653702, + 24433045 + ], + [ + 63109620, + 6971824 + ], + [ + 97458643, + 83654095 + ], + [ + 53716790, + 63929896 + ], + [ + 3138071, + 64056350 + ], + [ + 56691212, + 27646662 + ], + [ + 18756711, + 20783754 + ], + [ + 39377559, + 99968371 + ], + [ + 12464744, + 89961839 + ], + [ + 8912026, + 38141905 + ], + [ + 62184317, + 39446393 + ], + [ + 67428043, + 45586363 + ], + [ + 27866037, + 22392941 + ], + [ + 91330452, + 5167583 + ], + [ + 22771869, + 32609780 + ], + [ + 14467191, + 6284289 + ], + [ + 44827873, + 83627350 + ], + [ + 73699646, + 53234246 + ], + [ + 21606155, + 34937912 + ], + [ + 77377693, + 49336767 + ], + [ + 68103856, + 74797546 + ], + [ + 67812448, + 88026123 + ], + [ + 97940157, + 82917745 + ], + [ + 61772144, + 29070330 + ], + [ + 46099951, + 6641447 + ], + [ + 42019336, + 41980250 + ], + [ + 65932288, + 78089200 + ], + [ + 68058491, + 58831760 + ], + [ + 25722759, + 56459199 + ], + [ + 20067290, + 39134525 + ], + [ + 69985621, + 69464347 + ], + [ + 8923280, + 75830405 + ], + [ + 3540066, + 649973 + ], + [ + 3180131, + 84331629 + ], + [ + 39177289, + 96104431 + ], + [ + 25736679, + 25903945 + ], + [ + 45404511, + 37538839 + ], + [ + 13216758, + 94858739 + ], + [ + 62742402, + 51401837 + ], + [ + 19597686, + 72115437 + ], + [ + 5885945, + 3702401 + ], + [ + 89558335, + 33839398 + ], + [ + 51097237, + 4665156 + ], + [ + 10366979, + 39769992 + ], + [ + 99385222, + 76018011 + ], + [ + 20544277, + 67580896 + ], + [ + 989195, + 89464082 + ], + [ + 29086741, + 87224415 + ], + [ + 97274354, + 91849594 + ], + [ + 42175755, + 21315556 + ], + [ + 3475733, + 96097313 + ], + [ + 36606394, + 25347327 + ], + [ + 33227434, + 37779606 + ], + [ + 66568677, + 12674577 + ], + [ + 14271600, + 22852982 + ], + [ + 78004273, + 25890346 + ], + [ + 28646311, + 91112462 + ], + [ + 9662729, + 80095575 + ], + [ + 8675712, + 57335763 + ], + [ + 13009703, + 75394340 + ], + [ + 98925470, + 23719004 + ], + [ + 71935242, + 11920060 + ], + [ + 71698524, + 80540923 + ], + [ + 71255871, + 80380992 + ], + [ + 47043698, + 27596326 + ], + [ + 94684493, + 24790451 + ], + [ + 729571, + 19120694 + ], + [ + 13928106, + 1453787 + ], + [ + 48641756, + 59679415 + ], + [ + 51666820, + 56116376 + ], + [ + 25697392, + 67582993 + ], + [ + 57553149, + 84667883 + ], + [ + 66164660, + 51594839 + ], + [ + 77612133, + 83751426 + ], + [ + 47804073, + 60423949 + ], + [ + 48538742, + 12026765 + ], + [ + 63162470, + 13942808 + ], + [ + 23457691, + 12979020 + ], + [ + 90419201, + 88468945 + ], + [ + 3265217, + 61226767 + ], + [ + 40473600, + 99265616 + ], + [ + 10806480, + 52947221 + ], + [ + 70238674, + 66215649 + ], + [ + 2587358, + 63910101 + ], + [ + 34766581, + 56683430 + ], + [ + 86444805, + 83109285 + ], + [ + 22753450, + 371360 + ], + [ + 94056742, + 73186960 + ], + [ + 66832770, + 80330532 + ], + [ + 88782547, + 95158253 + ], + [ + 40881656, + 85784867 + ], + [ + 20874119, + 69731781 + ], + [ + 38553680, + 27218278 + ], + [ + 82758850, + 45697443 + ], + [ + 25059476, + 94820934 + ], + [ + 72399820, + 21404596 + ], + [ + 81226172, + 686165 + ], + [ + 99016696, + 99351417 + ], + [ + 74829318, + 72162616 + ], + [ + 10044104, + 67744631 + ], + [ + 19266737, + 2539019 + ], + [ + 59441570, + 1785774 + ], + [ + 92528737, + 85474561 + ], + [ + 11539230, + 64929424 + ], + [ + 62477147, + 31183712 + ], + [ + 2420358, + 75690575 + ], + [ + 2234706, + 79212091 + ], + [ + 70313477, + 13882289 + ], + [ + 11752007, + 51688897 + ], + [ + 30037940, + 72388613 + ], + [ + 95050724, + 16885108 + ], + [ + 25484442, + 93514146 + ], + [ + 70906362, + 72016821 + ], + [ + 47110118, + 16839556 + ], + [ + 78173163, + 36385154 + ], + [ + 74679136, + 1828660 + ], + [ + 60995108, + 76442806 + ], + [ + 76539156, + 62442700 + ], + [ + 87336548, + 79228315 + ], + [ + 56258782, + 86046619 + ], + [ + 1030050, + 98444309 + ], + [ + 51015335, + 94935727 + ], + [ + 55709535, + 69963711 + ], + [ + 96818881, + 84506991 + ], + [ + 30051576, + 96354338 + ], + [ + 28919321, + 55999233 + ], + [ + 26892072, + 46235241 + ], + [ + 88895051, + 35220777 + ], + [ + 36436221, + 37056666 + ], + [ + 83071851, + 78678419 + ], + [ + 35645633, + 67934491 + ], + [ + 11857608, + 64587848 + ], + [ + 39715369, + 59057327 + ], + [ + 46876973, + 36952525 + ], + [ + 94512621, + 37047449 + ], + [ + 93406984, + 4468409 + ], + [ + 65413735, + 74921402 + ], + [ + 34095823, + 446277 + ], + [ + 6846089, + 20888854 + ], + [ + 58216691, + 50054488 + ], + [ + 9520392, + 10954038 + ], + [ + 67731402, + 12322628 + ], + [ + 47186706, + 41906355 + ], + [ + 79137509, + 70616716 + ], + [ + 87996854, + 87287013 + ], + [ + 72063604, + 7249533 + ], + [ + 74131678, + 97711935 + ], + [ + 43534260, + 29282302 + ], + [ + 3247647, + 89241695 + ], + [ + 83847793, + 35351009 + ], + [ + 6986515, + 2108306 + ], + [ + 3211889, + 1641429 + ], + [ + 76118532, + 8574823 + ], + [ + 98525132, + 17847053 + ], + [ + 76014061, + 48906646 + ], + [ + 53325575, + 15753917 + ], + [ + 55581573, + 27025733 + ], + [ + 82222047, + 64723125 + ], + [ + 67577887, + 27180399 + ], + [ + 21376645, + 7280923 + ], + [ + 80412832, + 32459315 + ], + [ + 3714747, + 66535482 + ], + [ + 9804556, + 63060654 + ], + [ + 16114597, + 20858658 + ], + [ + 96114746, + 36153334 + ], + [ + 53833446, + 50827550 + ], + [ + 23745974, + 9258359 + ], + [ + 861846, + 97484654 + ], + [ + 72158941, + 38376363 + ], + [ + 15008572, + 92453830 + ], + [ + 95381474, + 32793651 + ], + [ + 13278754, + 84412680 + ], + [ + 89133468, + 34011564 + ], + [ + 79137955, + 91499579 + ], + [ + 27183183, + 44280396 + ], + [ + 26650964, + 10874390 + ], + [ + 24372675, + 33040659 + ], + [ + 31709219, + 12287082 + ], + [ + 37340222, + 14988581 + ], + [ + 69996464, + 73095982 + ], + [ + 47064325, + 66209576 + ], + [ + 57267551, + 54167608 + ], + [ + 85534659, + 19372937 + ], + [ + 73849564, + 95093983 + ], + [ + 92942374, + 32669906 + ], + [ + 51032524, + 94632542 + ], + [ + 90693833, + 10713761 + ], + [ + 29230625, + 63644377 + ], + [ + 29769276, + 52582681 + ], + [ + 13437363, + 56654557 + ], + [ + 31662205, + 83771395 + ], + [ + 27977406, + 43487089 + ], + [ + 52797772, + 54231762 + ], + [ + 99494397, + 5166917 + ], + [ + 8113513, + 10795039 + ], + [ + 41193915, + 3234121 + ], + [ + 784623, + 4301916 + ], + [ + 34584918, + 98894415 + ], + [ + 19945427, + 97931819 + ], + [ + 95128313, + 95594672 + ], + [ + 3041860, + 90818178 + ], + [ + 34940161, + 64547233 + ], + [ + 57161796, + 13370769 + ], + [ + 89827386, + 25647227 + ], + [ + 27281836, + 11900212 + ], + [ + 565327, + 86914097 + ], + [ + 29067560, + 5306740 + ], + [ + 15356629, + 70352277 + ], + [ + 29877167, + 49670656 + ], + [ + 58877822, + 80828591 + ], + [ + 38675860, + 49136213 + ], + [ + 40606180, + 61589420 + ], + [ + 49310951, + 33494079 + ], + [ + 59146215, + 8950570 + ], + [ + 2810355, + 57743402 + ], + [ + 62184211, + 24841936 + ], + [ + 89084158, + 93510616 + ], + [ + 71746602, + 5777307 + ], + [ + 76652147, + 80980844 + ], + [ + 73560604, + 76485476 + ], + [ + 9440830, + 30099986 + ], + [ + 15488522, + 94641752 + ], + [ + 48339208, + 33510484 + ], + [ + 26500226, + 88830828 + ], + [ + 22662714, + 77109493 + ], + [ + 88198656, + 41740064 + ], + [ + 79894131, + 84161158 + ], + [ + 25052393, + 91014815 + ], + [ + 80811963, + 39592667 + ], + [ + 29724672, + 18652869 + ], + [ + 48296650, + 38228073 + ], + [ + 74256728, + 95048952 + ], + [ + 21978318, + 74442081 + ], + [ + 46801879, + 51911207 + ], + [ + 2934836, + 9042221 + ], + [ + 48314627, + 55487955 + ], + [ + 14732149, + 57926886 + ], + [ + 70713264, + 82848664 + ], + [ + 76022426, + 53592657 + ], + [ + 49365170, + 7830679 + ], + [ + 17422867, + 52550986 + ], + [ + 38257778, + 94084451 + ], + [ + 4501513, + 71104210 + ], + [ + 71388307, + 67611223 + ], + [ + 82624782, + 4580646 + ], + [ + 82054935, + 86356884 + ], + [ + 23975020, + 51373946 + ], + [ + 72302703, + 31876311 + ], + [ + 10212402, + 71539699 + ], + [ + 75812015, + 12110831 + ], + [ + 46560914, + 28863565 + ], + [ + 48630548, + 80982980 + ], + [ + 4055667, + 48635045 + ], + [ + 95644856, + 19369464 + ], + [ + 5645777, + 71713104 + ], + [ + 75269149, + 18938692 + ], + [ + 48907376, + 28362938 + ], + [ + 49798240, + 78494377 + ], + [ + 19525973, + 20647423 + ], + [ + 7281376, + 13889448 + ], + [ + 87012254, + 46975839 + ], + [ + 89835616, + 18151369 + ], + [ + 25031444, + 29595863 + ], + [ + 62866207, + 98279451 + ], + [ + 36201403, + 72476093 + ], + [ + 27495398, + 92505947 + ], + [ + 23427885, + 2172744 + ], + [ + 88088234, + 64149188 + ], + [ + 13507375, + 65665954 + ], + [ + 43145085, + 19813507 + ], + [ + 6207205, + 2671437 + ], + [ + 73159963, + 27885262 + ], + [ + 84105793, + 79173472 + ], + [ + 45005847, + 39146448 + ], + [ + 40193069, + 39607503 + ], + [ + 25740489, + 93351368 + ], + [ + 6167009, + 47532039 + ], + [ + 4304158, + 20905307 + ], + [ + 62411017, + 35335094 + ], + [ + 67012395, + 27629666 + ], + [ + 88875894, + 25681430 + ], + [ + 65186676, + 81130147 + ], + [ + 21018696, + 77621064 + ], + [ + 58303261, + 16024065 + ], + [ + 79595623, + 4933673 + ], + [ + 65429676, + 23730684 + ], + [ + 93985943, + 37562509 + ], + [ + 21393350, + 43711606 + ], + [ + 595571, + 91029695 + ], + [ + 54783610, + 56107772 + ], + [ + 44957996, + 93269878 + ], + [ + 34376592, + 52187633 + ], + [ + 80787236, + 602076 + ], + [ + 25596653, + 27305612 + ], + [ + 83900659, + 34859508 + ], + [ + 98994780, + 87366387 + ], + [ + 36137600, + 34728608 + ], + [ + 30137924, + 85047689 + ], + [ + 60782617, + 86203742 + ], + [ + 90695690, + 38481201 + ], + [ + 15714437, + 7192145 + ], + [ + 62972438, + 29301651 + ], + [ + 89058454, + 89413899 + ], + [ + 38931786, + 42720799 + ], + [ + 62033127, + 45300284 + ], + [ + 98028092, + 35895045 + ], + [ + 78236812, + 78109778 + ], + [ + 87674110, + 86356425 + ], + [ + 72644367, + 47864140 + ], + [ + 14458167, + 23769645 + ], + [ + 3706066, + 7196106 + ], + [ + 95707170, + 98444240 + ], + [ + 66913558, + 5053627 + ], + [ + 1321218, + 33831621 + ], + [ + 18370595, + 16171750 + ], + [ + 11159911, + 11973227 + ], + [ + 41989123, + 5159333 + ], + [ + 71771904, + 98631622 + ], + [ + 10193222, + 98842942 + ], + [ + 65942582, + 20024281 + ], + [ + 7835640, + 32551614 + ], + [ + 51085866, + 62639582 + ], + [ + 29741941, + 6330361 + ], + [ + 67413393, + 89509758 + ], + [ + 24772678, + 57012494 + ], + [ + 39399197, + 14690122 + ], + [ + 26700647, + 42301878 + ], + [ + 80919548, + 47159740 + ], + [ + 398504, + 83155302 + ], + [ + 4045461, + 94962905 + ], + [ + 86628222, + 68562582 + ], + [ + 1911783, + 42800117 + ], + [ + 69748113, + 91793623 + ], + [ + 93069686, + 34228367 + ], + [ + 67542784, + 47211507 + ], + [ + 76284704, + 14545709 + ], + [ + 72530887, + 27067148 + ], + [ + 87686739, + 43945334 + ], + [ + 74722181, + 91442143 + ], + [ + 41976689, + 30862536 + ], + [ + 85896413, + 85046709 + ], + [ + 61805514, + 71801386 + ], + [ + 40944186, + 44301928 + ], + [ + 89525508, + 59330427 + ], + [ + 22918119, + 26099702 + ], + [ + 18082688, + 29942931 + ], + [ + 65657702, + 53274795 + ], + [ + 40850531, + 98082255 + ], + [ + 27820689, + 90494508 + ], + [ + 75866295, + 37682400 + ], + [ + 62419841, + 22543335 + ], + [ + 90669356, + 70069552 + ], + [ + 8189563, + 80777097 + ], + [ + 23104031, + 20709597 + ], + [ + 44130551, + 12668409 + ], + [ + 18286056, + 11301967 + ], + [ + 56444019, + 53989773 + ], + [ + 62697299, + 13642384 + ], + [ + 1502135, + 42742870 + ], + [ + 26540679, + 11808867 + ], + [ + 96917764, + 84220128 + ], + [ + 61592774, + 36550488 + ], + [ + 29858388, + 74484990 + ], + [ + 3919265, + 62560232 + ], + [ + 42767911, + 81611435 + ], + [ + 11896967, + 60774688 + ], + [ + 38075077, + 90975541 + ], + [ + 5394682, + 7557763 + ], + [ + 21641473, + 25584491 + ], + [ + 33775541, + 31842260 + ], + [ + 55633554, + 58791365 + ], + [ + 72914141, + 9326173 + ], + [ + 94776830, + 971220 + ], + [ + 84497492, + 88098596 + ], + [ + 97945906, + 93387746 + ], + [ + 34575735, + 91902994 + ], + [ + 12748230, + 98697521 + ], + [ + 80100652, + 97860881 + ], + [ + 67196623, + 6443046 + ], + [ + 20640670, + 88395787 + ], + [ + 23773965, + 96159371 + ], + [ + 29710159, + 69056253 + ], + [ + 86630680, + 76397766 + ], + [ + 97673280, + 94432979 + ], + [ + 56092507, + 82313840 + ], + [ + 60738238, + 24185008 + ], + [ + 34091129, + 60431048 + ], + [ + 60387388, + 56146506 + ], + [ + 71008239, + 53538467 + ], + [ + 90529542, + 48593312 + ], + [ + 87843602, + 74091253 + ], + [ + 32115811, + 3538431 + ], + [ + 21357323, + 51462605 + ], + [ + 19464846, + 48085463 + ], + [ + 60240476, + 62274675 + ], + [ + 4462435, + 38702848 + ], + [ + 24719328, + 42043560 + ], + [ + 22090061, + 40671554 + ], + [ + 16146005, + 64260995 + ], + [ + 31092162, + 66125078 + ], + [ + 27714209, + 75004020 + ], + [ + 21509968, + 56357041 + ], + [ + 57150298, + 18011944 + ], + [ + 15241593, + 69928374 + ], + [ + 76236703, + 64880485 + ], + [ + 55747077, + 63279962 + ], + [ + 5975934, + 44354741 + ], + [ + 32439989, + 83547273 + ], + [ + 51375272, + 42394765 + ], + [ + 97297629, + 14434248 + ], + [ + 52208227, + 40460808 + ], + [ + 64251946, + 32776845 + ], + [ + 27363262, + 28285205 + ], + [ + 70757725, + 39036881 + ], + [ + 33897558, + 69150519 + ], + [ + 52944102, + 55488241 + ], + [ + 56960260, + 1254453 + ], + [ + 81799910, + 85270044 + ], + [ + 91495803, + 10984229 + ], + [ + 92161953, + 85747156 + ], + [ + 20378262, + 14077798 + ], + [ + 37511604, + 6786850 + ], + [ + 85379518, + 34077435 + ], + [ + 58534766, + 76674894 + ], + [ + 72347550, + 93546090 + ], + [ + 67212006, + 14301262 + ], + [ + 84473596, + 57746125 + ], + [ + 9582550, + 26679464 + ], + [ + 19210137, + 76123335 + ], + [ + 94553253, + 78701223 + ], + [ + 15311286, + 30283646 + ], + [ + 999587, + 54410367 + ], + [ + 36689147, + 48361409 + ], + [ + 48273078, + 49723883 + ], + [ + 42710988, + 31809093 + ], + [ + 92572843, + 33095101 + ], + [ + 96096548, + 33631744 + ], + [ + 16701945, + 7318009 + ], + [ + 58379559, + 40956622 + ], + [ + 69868606, + 71399122 + ], + [ + 58121712, + 77038394 + ], + [ + 77878320, + 51772703 + ], + [ + 78398751, + 61013985 + ], + [ + 3954331, + 10606954 + ], + [ + 85284443, + 22439092 + ], + [ + 26005773, + 77470004 + ], + [ + 92585315, + 10716997 + ], + [ + 67144571, + 90281175 + ], + [ + 15671009, + 83484709 + ], + [ + 40468878, + 40172031 + ], + [ + 46676151, + 15404143 + ], + [ + 58686989, + 50611182 + ], + [ + 9451941, + 7318369 + ], + [ + 30420431, + 8829027 + ], + [ + 49800256, + 23592060 + ], + [ + 47038978, + 57616472 + ], + [ + 95540060, + 19969723 + ], + [ + 67678583, + 60054516 + ], + [ + 13122681, + 36765085 + ], + [ + 3008690, + 84430251 + ], + [ + 35744538, + 42034147 + ], + [ + 77953524, + 76613146 + ], + [ + 36032716, + 55641794 + ], + [ + 15238010, + 90776347 + ], + [ + 26685124, + 1137834 + ], + [ + 17127382, + 33541066 + ], + [ + 63652583, + 77714529 + ], + [ + 7286908, + 43961461 + ], + [ + 2562672, + 54651828 + ], + [ + 69097939, + 97507602 + ], + [ + 10356080, + 82759559 + ], + [ + 7971747, + 63850527 + ], + [ + 11818898, + 88458248 + ], + [ + 75052837, + 77103543 + ], + [ + 79812886, + 58406351 + ], + [ + 88665536, + 57853413 + ], + [ + 33636125, + 6550638 + ], + [ + 66558848, + 20929586 + ], + [ + 90622934, + 55071359 + ], + [ + 54796824, + 49631087 + ], + [ + 78882391, + 37092345 + ], + [ + 14287378, + 5712738 + ], + [ + 91797578, + 75106265 + ], + [ + 61300378, + 38024463 + ], + [ + 82850292, + 82680813 + ], + [ + 27902538, + 37911697 + ], + [ + 47303864, + 63870986 + ], + [ + 54376306, + 95698629 + ], + [ + 29638337, + 51247646 + ], + [ + 40526337, + 18500222 + ], + [ + 62435825, + 13360085 + ], + [ + 3657623, + 21436159 + ], + [ + 64370922, + 1401639 + ], + [ + 11821358, + 71033151 + ], + [ + 39099841, + 48322699 + ], + [ + 49688575, + 56584726 + ], + [ + 82786843, + 46617111 + ], + [ + 24262534, + 12883101 + ], + [ + 10674548, + 30993356 + ], + [ + 55273497, + 30139355 + ], + [ + 41729950, + 29874692 + ], + [ + 19177029, + 35107188 + ], + [ + 37200804, + 45889109 + ], + [ + 61689868, + 27991585 + ], + [ + 47139572, + 49453570 + ], + [ + 44035811, + 48118321 + ], + [ + 32521559, + 3772995 + ], + [ + 93015105, + 87263015 + ], + [ + 93957594, + 24563291 + ], + [ + 54641084, + 11026568 + ], + [ + 26204118, + 41220712 + ], + [ + 64360637, + 68830229 + ], + [ + 24528660, + 11041315 + ], + [ + 60464160, + 33297157 + ], + [ + 91663822, + 71666117 + ], + [ + 16781570, + 90481242 + ], + [ + 60683717, + 57422785 + ], + [ + 53808043, + 13723819 + ], + [ + 57945733, + 75151727 + ], + [ + 31391972, + 86612466 + ], + [ + 51572322, + 46630276 + ], + [ + 98682876, + 45054485 + ], + [ + 71597686, + 68167255 + ], + [ + 3582515, + 6406932 + ], + [ + 83000694, + 9785327 + ], + [ + 6131579, + 82023221 + ], + [ + 44915485, + 60072746 + ], + [ + 63336866, + 6253479 + ], + [ + 89382131, + 34505013 + ], + [ + 67365462, + 46536631 + ], + [ + 63765637, + 20370631 + ], + [ + 17752104, + 34025845 + ], + [ + 38537521, + 6021233 + ], + [ + 135729, + 18749575 + ], + [ + 47422296, + 79439213 + ], + [ + 54517469, + 57936433 + ], + [ + 78423863, + 63649350 + ], + [ + 22366338, + 58864194 + ], + [ + 72136456, + 2579129 + ], + [ + 71260053, + 51877119 + ], + [ + 4138649, + 28111215 + ], + [ + 48468789, + 98558626 + ], + [ + 46386787, + 80938819 + ], + [ + 54290636, + 11757977 + ], + [ + 78196668, + 60127296 + ], + [ + 57574248, + 98902863 + ], + [ + 2169770, + 79109415 + ], + [ + 34566750, + 10786651 + ], + [ + 55583429, + 48683807 + ], + [ + 1769181, + 62813157 + ], + [ + 79887692, + 26221063 + ], + [ + 99312320, + 16249836 + ], + [ + 24415119, + 56241326 + ], + [ + 90363814, + 50994752 + ], + [ + 38905395, + 8495677 + ], + [ + 53463, + 18613431 + ], + [ + 59817792, + 32084721 + ], + [ + 80815940, + 24603206 + ], + [ + 24136661, + 46844096 + ], + [ + 18826828, + 98934990 + ], + [ + 54584993, + 34584010 + ], + [ + 3064252, + 35060496 + ], + [ + 80817178, + 4926931 + ], + [ + 61079342, + 26220491 + ], + [ + 52822614, + 35117435 + ], + [ + 11813322, + 29334423 + ], + [ + 41509488, + 93892734 + ], + [ + 8536792, + 29282194 + ], + [ + 32338900, + 22475631 + ], + [ + 15061748, + 48118475 + ], + [ + 28103675, + 90218399 + ], + [ + 46914032, + 92528946 + ], + [ + 57895460, + 4648018 + ], + [ + 33131430, + 72850057 + ], + [ + 67103285, + 40075226 + ], + [ + 53915459, + 37108861 + ], + [ + 71414334, + 15447268 + ], + [ + 45411279, + 84584713 + ], + [ + 82480024, + 36459908 + ], + [ + 49360624, + 18871347 + ], + [ + 3838894, + 60319450 + ], + [ + 73456151, + 10204529 + ], + [ + 40139357, + 30736971 + ], + [ + 62840767, + 64984572 + ], + [ + 30493318, + 75202415 + ], + [ + 3706084, + 93192218 + ], + [ + 14354882, + 21595298 + ], + [ + 56279408, + 80787765 + ], + [ + 5891654, + 39398283 + ], + [ + 54039726, + 36843534 + ], + [ + 40441805, + 99299656 + ], + [ + 36086700, + 73658986 + ], + [ + 22213639, + 88793278 + ], + [ + 47595974, + 19958281 + ], + [ + 51195099, + 37194333 + ], + [ + 2830379, + 11824802 + ], + [ + 33732370, + 83416357 + ], + [ + 366838, + 55682116 + ], + [ + 55878152, + 80244634 + ], + [ + 75319308, + 87395179 + ], + [ + 25578668, + 71586800 + ], + [ + 65222383, + 90203693 + ], + [ + 70169660, + 61213642 + ], + [ + 98585542, + 36216442 + ], + [ + 63284700, + 32784035 + ], + [ + 50234248, + 97953173 + ], + [ + 30027922, + 17944094 + ], + [ + 39547025, + 43983539 + ], + [ + 12309179, + 26064534 + ], + [ + 30215825, + 21666057 + ], + [ + 44855855, + 65450514 + ], + [ + 32116148, + 59930201 + ], + [ + 27593120, + 21884062 + ], + [ + 36756145, + 56125511 + ], + [ + 70273390, + 89597102 + ], + [ + 3735685, + 66762103 + ], + [ + 55925831, + 70073528 + ], + [ + 36396704, + 13734181 + ], + [ + 64379860, + 73128955 + ], + [ + 19290842, + 14289865 + ], + [ + 75332716, + 99051272 + ], + [ + 28869708, + 76598072 + ], + [ + 63308880, + 23124508 + ], + [ + 1596557, + 88599748 + ], + [ + 71204695, + 65908036 + ], + [ + 2595463, + 22097973 + ], + [ + 60337191, + 90291238 + ], + [ + 15966321, + 31062437 + ], + [ + 64664170, + 72149052 + ], + [ + 10606561, + 81619614 + ], + [ + 50619318, + 68452459 + ], + [ + 58451807, + 74329800 + ], + [ + 31799937, + 38408432 + ], + [ + 71238286, + 11156339 + ], + [ + 61779955, + 97018435 + ], + [ + 17678000, + 96391432 + ], + [ + 53465383, + 45238986 + ], + [ + 49967598, + 73085583 + ], + [ + 77649830, + 603885 + ], + [ + 97636968, + 83532614 + ], + [ + 44602255, + 53399931 + ], + [ + 87397876, + 24331313 + ], + [ + 6294749, + 7869379 + ], + [ + 47719965, + 33492424 + ], + [ + 6129806, + 83636993 + ], + [ + 84914271, + 15066975 + ], + [ + 25807400, + 42265 + ], + [ + 11116169, + 11314268 + ], + [ + 63659326, + 22494895 + ], + [ + 42723113, + 824965 + ], + [ + 16149708, + 43243329 + ], + [ + 11059455, + 89144093 + ], + [ + 18675134, + 37682634 + ], + [ + 86386409, + 13531806 + ], + [ + 63961658, + 81352422 + ], + [ + 27306499, + 30625368 + ], + [ + 64315161, + 23092883 + ], + [ + 31273151, + 12233336 + ], + [ + 67048866, + 9500873 + ], + [ + 17182177, + 10479117 + ], + [ + 57337977, + 83134825 + ], + [ + 73438109, + 23991399 + ], + [ + 85148772, + 28670225 + ], + [ + 73507976, + 41142857 + ], + [ + 39664342, + 43521650 + ], + [ + 91034379, + 39302150 + ], + [ + 66780319, + 4524257 + ], + [ + 32985372, + 99385456 + ], + [ + 44022994, + 52148967 + ], + [ + 97471824, + 96520102 + ], + [ + 72637801, + 47959745 + ], + [ + 15022149, + 83587955 + ], + [ + 49285388, + 85898828 + ], + [ + 35628378, + 51213956 + ], + [ + 3192691, + 36961740 + ], + [ + 81505795, + 66287935 + ], + [ + 79298198, + 71343894 + ], + [ + 61387882, + 9669818 + ], + [ + 55148550, + 85227578 + ], + [ + 6803349, + 4194315 + ], + [ + 19217368, + 1173999 + ], + [ + 41266143, + 92734656 + ], + [ + 88143363, + 29087756 + ], + [ + 99842627, + 90358590 + ], + [ + 72196117, + 61156028 + ], + [ + 8199591, + 4190687 + ], + [ + 97388514, + 81046025 + ], + [ + 56245810, + 79559140 + ], + [ + 72735622, + 43117219 + ], + [ + 94825647, + 2346989 + ], + [ + 75998810, + 49958890 + ], + [ + 63042030, + 39137915 + ], + [ + 10062015, + 90756877 + ], + [ + 69839144, + 87204990 + ], + [ + 90515198, + 4693844 + ], + [ + 45757425, + 27325643 + ], + [ + 52126575, + 47841456 + ], + [ + 53533366, + 83369272 + ], + [ + 76081493, + 20291738 + ], + [ + 64685759, + 42218151 + ], + [ + 12186793, + 44774577 + ], + [ + 46066990, + 24884940 + ], + [ + 2154873, + 77420068 + ], + [ + 62257385, + 39677124 + ], + [ + 48904051, + 58234324 + ], + [ + 48735194, + 10565909 + ], + [ + 57475728, + 26894560 + ], + [ + 38067542, + 46124896 + ], + [ + 66438349, + 1854209 + ], + [ + 22401235, + 73282796 + ], + [ + 79392905, + 66735470 + ], + [ + 33939433, + 2412952 + ], + [ + 26456933, + 60126706 + ], + [ + 10832997, + 55806497 + ], + [ + 13531485, + 15127807 + ], + [ + 70909444, + 95088585 + ], + [ + 82065258, + 37946154 + ], + [ + 23004615, + 56019554 + ], + [ + 14144169, + 50285589 + ], + [ + 11104745, + 46901323 + ], + [ + 75542423, + 31842097 + ], + [ + 20264113, + 56781565 + ], + [ + 5498666, + 94177986 + ], + [ + 41087116, + 65021473 + ], + [ + 48984977, + 22629545 + ], + [ + 53108819, + 67935125 + ], + [ + 76160114, + 99966454 + ], + [ + 22999062, + 89563107 + ], + [ + 53125615, + 87697221 + ], + [ + 82197883, + 47626077 + ], + [ + 82970545, + 22176374 + ], + [ + 77373442, + 83377895 + ], + [ + 37844492, + 40419809 + ], + [ + 51050751, + 40976563 + ], + [ + 90361376, + 13837747 + ], + [ + 18519017, + 18006930 + ], + [ + 86238349, + 77241074 + ], + [ + 36084346, + 3145561 + ], + [ + 28251307, + 36227656 + ], + [ + 52517253, + 20149246 + ], + [ + 52386740, + 17246053 + ], + [ + 13299019, + 14769681 + ], + [ + 41150284, + 99689136 + ], + [ + 78057000, + 30655527 + ], + [ + 83937009, + 56895237 + ], + [ + 97578662, + 81355230 + ], + [ + 3727270, + 60546234 + ], + [ + 49116196, + 78023518 + ], + [ + 66927919, + 93212215 + ], + [ + 96273196, + 34678608 + ], + [ + 72198431, + 15988461 + ], + [ + 27685473, + 59765128 + ], + [ + 77474335, + 74308793 + ], + [ + 66161052, + 68682579 + ], + [ + 54592323, + 89941624 + ], + [ + 35118071, + 8132597 + ], + [ + 60925029, + 70470075 + ], + [ + 5476340, + 71359167 + ], + [ + 86757141, + 22894247 + ], + [ + 41846470, + 91485775 + ], + [ + 47268957, + 11967300 + ], + [ + 56679729, + 86766643 + ], + [ + 13689901, + 2578417 + ], + [ + 41413753, + 66445321 + ], + [ + 84947225, + 76659815 + ], + [ + 57546944, + 83965180 + ], + [ + 23948196, + 22720822 + ], + [ + 92996702, + 94696124 + ], + [ + 23948353, + 15967792 + ], + [ + 82670645, + 53258205 + ], + [ + 93702370, + 80503659 + ], + [ + 54633670, + 95670308 + ], + [ + 11788500, + 67022339 + ], + [ + 93548335, + 10550907 + ], + [ + 65839731, + 46391961 + ], + [ + 86045756, + 13511099 + ], + [ + 35164049, + 64507614 + ], + [ + 7147768, + 90364002 + ], + [ + 5080020, + 32514891 + ], + [ + 67475286, + 60589791 + ], + [ + 13450629, + 17894819 + ], + [ + 54168989, + 68062548 + ], + [ + 18592286, + 93454094 + ], + [ + 32702987, + 73412998 + ], + [ + 38394196, + 94451046 + ], + [ + 59269405, + 15537451 + ], + [ + 62622506, + 50056189 + ], + [ + 43900757, + 27958824 + ], + [ + 50259161, + 31467694 + ], + [ + 4819514, + 36653135 + ], + [ + 55084506, + 86951746 + ], + [ + 79306318, + 69635664 + ], + [ + 18799703, + 30821545 + ], + [ + 38702989, + 34597664 + ], + [ + 22294562, + 6157539 + ], + [ + 94358604, + 35080838 + ], + [ + 37978570, + 87818909 + ], + [ + 26671557, + 99725120 + ], + [ + 9805578, + 53957265 + ], + [ + 34929918, + 66703237 + ], + [ + 15519663, + 87389283 + ], + [ + 93896358, + 74676076 + ], + [ + 70792941, + 75039180 + ], + [ + 86785140, + 62918173 + ], + [ + 50592975, + 81310775 + ], + [ + 66118241, + 19545813 + ], + [ + 81852316, + 52447311 + ], + [ + 68206083, + 66854885 + ], + [ + 40455958, + 38208685 + ], + [ + 84081748, + 84322057 + ], + [ + 20395566, + 79010558 + ], + [ + 11830822, + 85302262 + ], + [ + 95351819, + 29654181 + ], + [ + 61313257, + 52648844 + ], + [ + 60926413, + 55189453 + ], + [ + 15221312, + 43795952 + ], + [ + 60529778, + 89290004 + ], + [ + 27584380, + 67717126 + ], + [ + 14769093, + 87201910 + ], + [ + 58689468, + 82323930 + ], + [ + 63330178, + 35636969 + ], + [ + 68301430, + 92536211 + ], + [ + 39663816, + 65615756 + ], + [ + 76825822, + 67040673 + ], + [ + 74364173, + 75532816 + ], + [ + 86966391, + 52798067 + ], + [ + 12994768, + 84629425 + ], + [ + 74764344, + 85243062 + ], + [ + 72225227, + 1972862 + ], + [ + 86074287, + 10332035 + ], + [ + 73606557, + 17230594 + ], + [ + 73306561, + 49937200 + ], + [ + 44081616, + 28916507 + ], + [ + 39919537, + 13706101 + ], + [ + 89192927, + 17803341 + ], + [ + 18324607, + 14370061 + ], + [ + 900466, + 36367147 + ], + [ + 23612103, + 92425218 + ], + [ + 21193320, + 41903859 + ], + [ + 63859214, + 49030880 + ], + [ + 23981461, + 88698955 + ], + [ + 99300299, + 94852950 + ], + [ + 82508254, + 48066575 + ], + [ + 63523109, + 33328017 + ], + [ + 89022641, + 40274299 + ], + [ + 87912291, + 4268839 + ], + [ + 34884074, + 25858637 + ], + [ + 79026591, + 8888806 + ], + [ + 10793998, + 79487494 + ], + [ + 81410210, + 28852772 + ], + [ + 77450762, + 79558943 + ], + [ + 64561766, + 10303944 + ], + [ + 709201, + 9812870 + ], + [ + 42266408, + 23669797 + ], + [ + 40076354, + 60013142 + ], + [ + 1704512, + 50126496 + ], + [ + 35345681, + 14480198 + ], + [ + 76499966, + 32141479 + ], + [ + 72651400, + 72476433 + ], + [ + 73821210, + 85288522 + ], + [ + 63184860, + 8445326 + ], + [ + 86926232, + 66705688 + ], + [ + 62899384, + 27049378 + ], + [ + 77843070, + 59269477 + ], + [ + 43662378, + 39243081 + ], + [ + 42195868, + 68371522 + ], + [ + 34247512, + 55082535 + ], + [ + 76409600, + 78543772 + ], + [ + 77760495, + 96223497 + ], + [ + 54415172, + 37251445 + ], + [ + 86345310, + 348241 + ], + [ + 89886193, + 3187321 + ], + [ + 86303807, + 51971780 + ], + [ + 46405097, + 4645014 + ], + [ + 44436724, + 87669421 + ], + [ + 44650470, + 2447870 + ], + [ + 37862459, + 48864779 + ], + [ + 25600260, + 14797448 + ], + [ + 54764595, + 57050045 + ], + [ + 76285842, + 44911112 + ], + [ + 23629174, + 86529728 + ], + [ + 91095404, + 61940542 + ], + [ + 9402237, + 42822505 + ], + [ + 3146510, + 8865960 + ], + [ + 94218106, + 79443255 + ], + [ + 67611420, + 36519914 + ], + [ + 82033221, + 34801305 + ], + [ + 22290589, + 4628420 + ], + [ + 20002971, + 48757013 + ], + [ + 43034399, + 55072247 + ], + [ + 77874387, + 68349713 + ], + [ + 69408495, + 76216788 + ], + [ + 52942965, + 68895865 + ], + [ + 33813294, + 65840670 + ], + [ + 53140244, + 99762870 + ], + [ + 95666346, + 32102570 + ], + [ + 53666966, + 35747113 + ], + [ + 24787511, + 18366673 + ], + [ + 25039550, + 93436929 + ], + [ + 97625702, + 62069211 + ], + [ + 24165658, + 38628402 + ], + [ + 55376099, + 51954998 + ], + [ + 10664826, + 4928717 + ], + [ + 12287379, + 81111177 + ], + [ + 79525918, + 89253251 + ], + [ + 93595946, + 6621652 + ], + [ + 11803996, + 75030974 + ], + [ + 6062093, + 57543814 + ], + [ + 35493903, + 55279967 + ], + [ + 75509664, + 34143064 + ], + [ + 96096034, + 7367637 + ], + [ + 73590134, + 45465432 + ], + [ + 61608601, + 14958533 + ], + [ + 13069969, + 38534354 + ], + [ + 80045226, + 12866033 + ], + [ + 92703294, + 12499037 + ], + [ + 51583976, + 70276114 + ], + [ + 8178268, + 50981198 + ], + [ + 51755983, + 55323744 + ], + [ + 53051487, + 37923363 + ], + [ + 78911015, + 63566524 + ], + [ + 37061574, + 96073107 + ], + [ + 89710511, + 64446905 + ], + [ + 39101676, + 51089862 + ], + [ + 71472141, + 95899843 + ], + [ + 8412104, + 84586726 + ], + [ + 39996845, + 74472850 + ], + [ + 17068559, + 37292728 + ], + [ + 59787492, + 27845003 + ], + [ + 80567262, + 68937584 + ], + [ + 14171890, + 29614983 + ], + [ + 19133086, + 18090604 + ], + [ + 8103679, + 41454412 + ], + [ + 47273134, + 35743270 + ], + [ + 16075138, + 91999505 + ], + [ + 45529584, + 96457034 + ], + [ + 69664148, + 28101378 + ], + [ + 23344903, + 66369571 + ], + [ + 68160412, + 23180184 + ], + [ + 36876349, + 75718713 + ], + [ + 9801487, + 36631482 + ], + [ + 96875051, + 12536901 + ], + [ + 61666480, + 53868229 + ], + [ + 30146051, + 68909661 + ], + [ + 81377464, + 65101882 + ], + [ + 95391966, + 43630706 + ], + [ + 14157320, + 40506906 + ], + [ + 7655418, + 36280738 + ], + [ + 12527369, + 2053523 + ], + [ + 32133806, + 27256906 + ], + [ + 34847735, + 59678168 + ], + [ + 39947529, + 51076725 + ], + [ + 54146017, + 7664558 + ], + [ + 5558523, + 77282409 + ], + [ + 54560061, + 70067613 + ], + [ + 33869333, + 4667136 + ], + [ + 23347893, + 2899694 + ], + [ + 35358612, + 19450384 + ], + [ + 57930406, + 49097295 + ], + [ + 71743482, + 76552765 + ], + [ + 29587908, + 32501248 + ], + [ + 92006810, + 10373754 + ], + [ + 65288595, + 51980918 + ], + [ + 86311579, + 8009922 + ], + [ + 74753, + 7042724 + ], + [ + 20942327, + 43354557 + ], + [ + 43488102, + 24768235 + ], + [ + 73023904, + 22123960 + ], + [ + 43160309, + 42317660 + ], + [ + 60327609, + 94068438 + ], + [ + 70137772, + 80872742 + ], + [ + 18231409, + 49508840 + ], + [ + 90101959, + 41780025 + ], + [ + 17369590, + 23337478 + ], + [ + 22289990, + 56236944 + ], + [ + 96448538, + 29101164 + ], + [ + 82864292, + 65425644 + ], + [ + 58837827, + 58106971 + ], + [ + 77226910, + 48947004 + ], + [ + 72463969, + 34740261 + ], + [ + 48473662, + 81025950 + ], + [ + 92825382, + 48859254 + ], + [ + 62765613, + 83711720 + ], + [ + 3140939, + 98292481 + ], + [ + 10198718, + 94472509 + ], + [ + 72501303, + 29029614 + ], + [ + 99632816, + 57596478 + ], + [ + 53189061, + 49574828 + ], + [ + 43261355, + 42797819 + ], + [ + 6720681, + 77672753 + ], + [ + 3613569, + 94850592 + ], + [ + 34028745, + 50360415 + ], + [ + 98830407, + 41803571 + ], + [ + 1324898, + 23437784 + ], + [ + 6466295, + 58719690 + ], + [ + 36637341, + 71462589 + ], + [ + 49753196, + 83732543 + ], + [ + 54757438, + 68555371 + ], + [ + 65661836, + 85713055 + ], + [ + 55746112, + 7961147 + ], + [ + 21071992, + 53080701 + ], + [ + 16961777, + 76732415 + ], + [ + 31943007, + 99327348 + ], + [ + 68627314, + 96519151 + ], + [ + 26065955, + 86435795 + ], + [ + 96663587, + 84556160 + ], + [ + 30849060, + 22741411 + ], + [ + 19250463, + 8142691 + ], + [ + 36268089, + 23485467 + ], + [ + 45567864, + 59985939 + ], + [ + 95670035, + 37421665 + ], + [ + 35235828, + 74986753 + ], + [ + 13659676, + 96199133 + ], + [ + 75535499, + 98763480 + ], + [ + 49218495, + 90973102 + ], + [ + 4604461, + 22943039 + ], + [ + 64668277, + 6500440 + ], + [ + 87103074, + 76686278 + ], + [ + 33654316, + 9210991 + ], + [ + 57092432, + 5686621 + ], + [ + 47751401, + 58889040 + ], + [ + 88870371, + 12291247 + ], + [ + 48216081, + 95559691 + ], + [ + 397099, + 86938589 + ], + [ + 39007098, + 95396350 + ], + [ + 98857603, + 45207361 + ], + [ + 46895973, + 97998700 + ], + [ + 12414855, + 12092966 + ], + [ + 39570306, + 10196510 + ], + [ + 56305564, + 33964365 + ], + [ + 57251768, + 72008 + ], + [ + 68455394, + 46061428 + ], + [ + 21046141, + 38783018 + ], + [ + 65581802, + 46147319 + ], + [ + 25453257, + 23383989 + ], + [ + 74620782, + 28909919 + ], + [ + 19809757, + 19406316 + ], + [ + 68953938, + 91668234 + ], + [ + 21857160, + 50763638 + ], + [ + 81973625, + 1735301 + ], + [ + 89009455, + 65284566 + ], + [ + 44903854, + 19332584 + ], + [ + 11172592, + 24240199 + ], + [ + 73405953, + 185082 + ], + [ + 58104585, + 79138542 + ], + [ + 29820929, + 16875920 + ], + [ + 18447360, + 80560818 + ], + [ + 28648522, + 90539995 + ], + [ + 11258637, + 3774320 + ], + [ + 71521895, + 51332261 + ], + [ + 76519790, + 23843208 + ], + [ + 58741474, + 2650191 + ], + [ + 60303781, + 90870255 + ], + [ + 82934085, + 56319666 + ], + [ + 18779111, + 93994083 + ], + [ + 92932784, + 8957543 + ], + [ + 53518565, + 58313000 + ], + [ + 19626266, + 29254889 + ], + [ + 4814090, + 85545690 + ], + [ + 13215957, + 17761310 + ], + [ + 72390717, + 80078945 + ], + [ + 94389452, + 33066342 + ], + [ + 84575751, + 78686679 + ], + [ + 23587365, + 96832161 + ], + [ + 29283327, + 52392785 + ], + [ + 25409597, + 62268870 + ], + [ + 72045449, + 77133406 + ], + [ + 21767572, + 78918045 + ], + [ + 69351493, + 29288355 + ], + [ + 46696680, + 48685795 + ], + [ + 82330639, + 86587763 + ], + [ + 1837297, + 87786547 + ], + [ + 6452389, + 91629734 + ], + [ + 6179665, + 16412555 + ], + [ + 595323, + 18107579 + ], + [ + 61324752, + 64020361 + ], + [ + 92425879, + 31451068 + ], + [ + 29758081, + 52883198 + ], + [ + 85308907, + 52983052 + ], + [ + 88636500, + 44932662 + ], + [ + 85037305, + 77023417 + ], + [ + 39943828, + 62396093 + ], + [ + 61465770, + 53602029 + ], + [ + 37062275, + 28003335 + ], + [ + 53607492, + 44192248 + ], + [ + 46100711, + 83906890 + ], + [ + 84728118, + 6670995 + ], + [ + 13026913, + 9264562 + ], + [ + 3704102, + 18617366 + ], + [ + 80248606, + 55127181 + ], + [ + 37425351, + 94765524 + ], + [ + 21740554, + 66002594 + ], + [ + 51903367, + 66854441 + ], + [ + 27282593, + 17413172 + ], + [ + 50992107, + 33482572 + ], + [ + 17776672, + 6207482 + ], + [ + 40506380, + 39880280 + ], + [ + 97624806, + 80651939 + ], + [ + 94785297, + 290106 + ], + [ + 31520538, + 29995936 + ], + [ + 54546912, + 90216647 + ], + [ + 57363338, + 19386545 + ], + [ + 83669555, + 72312019 + ], + [ + 44940610, + 67857998 + ], + [ + 54670829, + 92473829 + ], + [ + 25625593, + 23833056 + ], + [ + 34785960, + 67991036 + ], + [ + 83383815, + 28841723 + ], + [ + 67143812, + 13363227 + ], + [ + 50271270, + 13686251 + ], + [ + 92579291, + 69102553 + ], + [ + 41134036, + 13751803 + ], + [ + 77617064, + 23085331 + ], + [ + 55899556, + 76311194 + ], + [ + 53529594, + 97302200 + ], + [ + 19307153, + 52955887 + ], + [ + 75803800, + 10591405 + ], + [ + 52594411, + 52416219 + ], + [ + 17079309, + 23331909 + ], + [ + 14019615, + 74670301 + ], + [ + 9126693, + 76690628 + ], + [ + 26295650, + 43745908 + ], + [ + 76833027, + 72607128 + ], + [ + 65000828, + 112584 + ], + [ + 89086897, + 79304294 + ], + [ + 57987062, + 13840008 + ], + [ + 88423534, + 78149879 + ], + [ + 53111415, + 83210223 + ], + [ + 37672850, + 64429660 + ], + [ + 49785285, + 97836792 + ], + [ + 64322460, + 86928327 + ], + [ + 45846447, + 57214483 + ], + [ + 66045360, + 92551505 + ], + [ + 99261406, + 55825631 + ], + [ + 60510212, + 48658474 + ], + [ + 97854654, + 65118590 + ], + [ + 63815043, + 37819686 + ], + [ + 83711527, + 33620528 + ], + [ + 72458347, + 68644361 + ], + [ + 34827699, + 97567510 + ], + [ + 50378880, + 46587319 + ], + [ + 7287099, + 1549422 + ], + [ + 84394839, + 92458018 + ], + [ + 49914740, + 35833212 + ], + [ + 50819770, + 64090359 + ], + [ + 22842931, + 2118227 + ], + [ + 36010844, + 12385902 + ], + [ + 80181397, + 88051091 + ], + [ + 94613528, + 85434414 + ], + [ + 54828056, + 23588631 + ], + [ + 59690654, + 82876058 + ], + [ + 26139932, + 4478357 + ], + [ + 12563116, + 54952542 + ], + [ + 9263747, + 36803185 + ], + [ + 43681614, + 69158045 + ], + [ + 2641330, + 97866904 + ], + [ + 55007003, + 6037050 + ], + [ + 27260497, + 8104282 + ], + [ + 89386988, + 38116580 + ], + [ + 83625972, + 37843974 + ], + [ + 77567522, + 41329283 + ], + [ + 32355851, + 38421003 + ], + [ + 35034482, + 58904772 + ], + [ + 53479527, + 31340158 + ], + [ + 70024888, + 14797986 + ], + [ + 76997093, + 56525295 + ], + [ + 26625634, + 79365591 + ], + [ + 96527213, + 68534232 + ], + [ + 13519313, + 73377271 + ], + [ + 42215108, + 47556913 + ], + [ + 94995457, + 45316820 + ], + [ + 19387904, + 8498568 + ], + [ + 7763847, + 4110244 + ], + [ + 95511709, + 82941781 + ], + [ + 3186583, + 21182033 + ], + [ + 9094211, + 18840836 + ], + [ + 92569326, + 48414137 + ], + [ + 17662060, + 93037166 + ], + [ + 71178970, + 46233277 + ], + [ + 36413138, + 29591138 + ], + [ + 16042956, + 32119844 + ], + [ + 72942846, + 97381910 + ], + [ + 62278181, + 63370630 + ], + [ + 94290537, + 1760202 + ], + [ + 63819634, + 31697578 + ], + [ + 13761933, + 46344891 + ], + [ + 65732733, + 82136779 + ], + [ + 46204476, + 94890432 + ], + [ + 79749239, + 98164147 + ], + [ + 83474196, + 74261295 + ], + [ + 66699414, + 75211049 + ], + [ + 2836627, + 21282519 + ], + [ + 62791222, + 58455561 + ], + [ + 86527473, + 40888119 + ], + [ + 92051140, + 53448182 + ], + [ + 27260147, + 59142939 + ], + [ + 88282342, + 80726330 + ], + [ + 29467109, + 29264862 + ], + [ + 78167864, + 97071936 + ], + [ + 35708140, + 7300226 + ], + [ + 19947868, + 41296690 + ], + [ + 3531466, + 41150996 + ], + [ + 63012953, + 41789348 + ], + [ + 28263038, + 90837145 + ], + [ + 75192632, + 10936733 + ], + [ + 32121603, + 36571658 + ], + [ + 66979349, + 26130462 + ], + [ + 89664171, + 91357707 + ], + [ + 71917139, + 23095729 + ], + [ + 77388248, + 53494240 + ], + [ + 29717082, + 94468308 + ], + [ + 91562834, + 85591353 + ], + [ + 32159252, + 65524192 + ], + [ + 61256181, + 86764782 + ], + [ + 50269289, + 46207077 + ], + [ + 63752736, + 72319483 + ], + [ + 6609765, + 37507549 + ], + [ + 67039084, + 40220947 + ], + [ + 9546901, + 45890503 + ], + [ + 6337447, + 246542 + ], + [ + 53698066, + 91957031 + ], + [ + 92761272, + 23004981 + ], + [ + 85311215, + 22723524 + ], + [ + 67288984, + 41885882 + ], + [ + 5522468, + 80343981 + ], + [ + 50500428, + 25600626 + ], + [ + 68204846, + 9182399 + ], + [ + 93889147, + 62066332 + ], + [ + 41227620, + 96105411 + ], + [ + 65816830, + 865488 + ], + [ + 65245477, + 69350916 + ], + [ + 34104519, + 26994988 + ], + [ + 82563993, + 82832235 + ], + [ + 1914958, + 63207710 + ], + [ + 4561929, + 27374083 + ], + [ + 43963402, + 64121626 + ], + [ + 59627927, + 26144795 + ], + [ + 94990179, + 725320 + ], + [ + 3806845, + 60928652 + ], + [ + 48317801, + 48359420 + ], + [ + 83072138, + 90574836 + ], + [ + 40713066, + 78633879 + ], + [ + 79524712, + 73915110 + ], + [ + 37139825, + 12635460 + ], + [ + 35237905, + 10400734 + ], + [ + 68453936, + 37141345 + ], + [ + 12987890, + 22587540 + ], + [ + 75390962, + 99480134 + ], + [ + 27649853, + 56514862 + ], + [ + 34968129, + 72249833 + ], + [ + 376554, + 18931898 + ], + [ + 18095706, + 44206674 + ], + [ + 94058378, + 98904592 + ], + [ + 5032327, + 38664301 + ], + [ + 17683930, + 11536649 + ], + [ + 62920433, + 47084667 + ], + [ + 98021394, + 29615371 + ], + [ + 82848602, + 18781002 + ], + [ + 58718522, + 53517835 + ], + [ + 34027643, + 7856629 + ], + [ + 55184248, + 1545819 + ], + [ + 8692353, + 32876519 + ], + [ + 35883999, + 14259834 + ], + [ + 74098110, + 57372234 + ], + [ + 76050545, + 57705711 + ], + [ + 75950829, + 12479240 + ], + [ + 13761699, + 7676149 + ], + [ + 35768638, + 35706170 + ], + [ + 11105912, + 73510788 + ], + [ + 68946082, + 36648356 + ], + [ + 6718351, + 58671614 + ], + [ + 8283558, + 20189188 + ], + [ + 23718663, + 28909109 + ], + [ + 13653659, + 43300238 + ], + [ + 51300995, + 56652848 + ], + [ + 54611042, + 65877427 + ], + [ + 52448416, + 2834789 + ], + [ + 22882450, + 4222459 + ], + [ + 32314217, + 36912448 + ], + [ + 42810264, + 55258009 + ], + [ + 5071889, + 52722917 + ], + [ + 30559148, + 93518292 + ], + [ + 56836920, + 99477687 + ], + [ + 93659185, + 6885119 + ], + [ + 66150485, + 43443921 + ], + [ + 55912161, + 26791414 + ], + [ + 26703646, + 12440705 + ], + [ + 57399528, + 8471222 + ], + [ + 185488, + 30928895 + ], + [ + 84578562, + 2364192 + ], + [ + 78691632, + 64571355 + ], + [ + 21879980, + 46387214 + ], + [ + 64146177, + 75317061 + ], + [ + 46011098, + 2317929 + ], + [ + 43877846, + 5479626 + ], + [ + 96003079, + 67033906 + ], + [ + 7137599, + 37695957 + ], + [ + 17589084, + 74196606 + ], + [ + 38116318, + 11648495 + ], + [ + 99133890, + 19445402 + ], + [ + 49127659, + 64307842 + ], + [ + 82990527, + 32634570 + ], + [ + 3659052, + 64553604 + ], + [ + 15421844, + 77778079 + ], + [ + 35816456, + 77584149 + ], + [ + 99203181, + 10219749 + ], + [ + 94766464, + 3111288 + ], + [ + 88563096, + 28859810 + ], + [ + 84321147, + 61927684 + ], + [ + 96388177, + 13020451 + ], + [ + 78847034, + 43333101 + ], + [ + 12973393, + 27455538 + ], + [ + 35560511, + 11427044 + ], + [ + 19715015, + 32592040 + ], + [ + 10271095, + 11951396 + ], + [ + 49732136, + 53651077 + ], + [ + 68021210, + 44300122 + ], + [ + 40294960, + 16464887 + ], + [ + 45174064, + 58923767 + ], + [ + 18100745, + 28138351 + ], + [ + 65016936, + 71834502 + ], + [ + 27845397, + 9556853 + ], + [ + 94564245, + 20789935 + ], + [ + 47652130, + 34409328 + ], + [ + 84547527, + 17891117 + ], + [ + 59914507, + 46150567 + ], + [ + 1791518, + 24770132 + ], + [ + 10609138, + 57998864 + ], + [ + 58057662, + 84859536 + ], + [ + 37024825, + 73136561 + ], + [ + 97524226, + 1038090 + ], + [ + 31149399, + 52297777 + ], + [ + 99235983, + 91656833 + ], + [ + 80504462, + 59728126 + ], + [ + 73122679, + 89924328 + ], + [ + 73910899, + 22026021 + ], + [ + 88139736, + 38763125 + ], + [ + 47402505, + 67568737 + ], + [ + 24779682, + 86841824 + ], + [ + 88260414, + 2846060 + ], + [ + 47474768, + 74715006 + ], + [ + 67425174, + 37593106 + ], + [ + 12278699, + 49610853 + ], + [ + 25398376, + 78630350 + ], + [ + 34007856, + 63745676 + ], + [ + 56849267, + 79447866 + ], + [ + 19203352, + 73259076 + ], + [ + 3428241, + 26350990 + ], + [ + 33681768, + 83178084 + ], + [ + 61388700, + 26120852 + ], + [ + 71617005, + 91584111 + ], + [ + 30773652, + 83786140 + ], + [ + 14283148, + 38753427 + ], + [ + 19242521, + 89530624 + ], + [ + 79644117, + 38366612 + ], + [ + 71079366, + 24319957 + ], + [ + 82114874, + 91956907 + ], + [ + 78110926, + 3476297 + ], + [ + 43215464, + 41218523 + ], + [ + 80911753, + 67504658 + ], + [ + 13157007, + 5442626 + ], + [ + 51892376, + 33714420 + ], + [ + 87106310, + 64076341 + ], + [ + 15901123, + 26034660 + ], + [ + 94695003, + 90439325 + ], + [ + 22957350, + 34522049 + ], + [ + 8507829, + 33986744 + ], + [ + 10537571, + 73678935 + ], + [ + 93447115, + 86710147 + ], + [ + 65455195, + 83374418 + ], + [ + 18425122, + 901188 + ], + [ + 33740489, + 66358848 + ], + [ + 87117993, + 32850425 + ], + [ + 40107463, + 11326395 + ], + [ + 1690907, + 27978337 + ], + [ + 87338754, + 87746398 + ], + [ + 31611406, + 15239003 + ], + [ + 84962674, + 88421724 + ], + [ + 15538960, + 62092630 + ], + [ + 43413360, + 53505217 + ], + [ + 73643330, + 93254406 + ], + [ + 32641857, + 43556016 + ], + [ + 33227175, + 93649303 + ], + [ + 85947354, + 57409442 + ], + [ + 9825329, + 23850140 + ], + [ + 94135439, + 20462555 + ], + [ + 70153683, + 39155079 + ], + [ + 22959480, + 21649505 + ], + [ + 7928550, + 53520916 + ], + [ + 32163500, + 86284905 + ], + [ + 50091823, + 70217448 + ], + [ + 32700377, + 5550738 + ], + [ + 82536437, + 81192720 + ], + [ + 38909304, + 46857211 + ], + [ + 67877246, + 85535096 + ], + [ + 19814855, + 34408175 + ], + [ + 7378925, + 28068090 + ], + [ + 74173486, + 56264000 + ], + [ + 43022945, + 82499312 + ], + [ + 7676593, + 80816573 + ], + [ + 10197666, + 42009516 + ], + [ + 5804241, + 70775133 + ], + [ + 79323940, + 66474784 + ], + [ + 6057620, + 31091446 + ], + [ + 15746371, + 60550850 + ], + [ + 71982871, + 36814044 + ], + [ + 70852690, + 69564060 + ], + [ + 21859, + 94541750 + ], + [ + 42391692, + 38905899 + ], + [ + 91556407, + 23440845 + ], + [ + 23347391, + 93248189 + ], + [ + 74146641, + 1275365 + ], + [ + 94028003, + 81243370 + ], + [ + 8212694, + 72009220 + ], + [ + 61702092, + 75666750 + ], + [ + 29418183, + 17803316 + ], + [ + 71263620, + 97713303 + ], + [ + 35497599, + 33915597 + ], + [ + 77823858, + 61712616 + ], + [ + 50165919, + 62797887 + ], + [ + 16996344, + 16722443 + ], + [ + 456299, + 43417423 + ], + [ + 88681696, + 23956517 + ], + [ + 81605257, + 36149401 + ], + [ + 22437076, + 87049231 + ], + [ + 84945902, + 39126503 + ], + [ + 33884695, + 41344549 + ], + [ + 1338544, + 30776163 + ], + [ + 5326497, + 30871287 + ], + [ + 82923263, + 9918583 + ], + [ + 39145569, + 22880510 + ], + [ + 46153847, + 50806717 + ], + [ + 25858382, + 1732071 + ], + [ + 36143931, + 91301155 + ], + [ + 17770114, + 17707625 + ], + [ + 86057896, + 47085714 + ], + [ + 80178408, + 27712152 + ], + [ + 53678049, + 44736720 + ], + [ + 30889987, + 39915909 + ], + [ + 9808985, + 74809580 + ], + [ + 30841667, + 52744701 + ], + [ + 20333072, + 57786009 + ], + [ + 21116856, + 94815588 + ], + [ + 49638663, + 229550 + ], + [ + 14412819, + 34827946 + ], + [ + 19427534, + 54653860 + ], + [ + 31183375, + 69798879 + ], + [ + 97921012, + 29114812 + ], + [ + 69984626, + 68892929 + ], + [ + 57683664, + 13146749 + ], + [ + 15057281, + 71005431 + ], + [ + 47187635, + 96854025 + ], + [ + 5943930, + 4055347 + ], + [ + 49339756, + 92812958 + ], + [ + 87111599, + 84242587 + ], + [ + 13897374, + 6030481 + ], + [ + 4019262, + 41940825 + ], + [ + 59650179, + 38488240 + ], + [ + 46897003, + 96002140 + ], + [ + 85736117, + 56980088 + ], + [ + 1541745, + 55372717 + ], + [ + 10698135, + 78116144 + ], + [ + 55895686, + 96657287 + ], + [ + 38615342, + 87908606 + ], + [ + 60786130, + 56080996 + ], + [ + 60795923, + 69216461 + ], + [ + 63220247, + 77791083 + ], + [ + 40430055, + 26511100 + ], + [ + 75977724, + 27313829 + ], + [ + 52359286, + 74712078 + ], + [ + 15128713, + 11802139 + ], + [ + 97649721, + 62671377 + ], + [ + 52550926, + 45242992 + ], + [ + 63181275, + 92251860 + ], + [ + 76061817, + 68429090 + ], + [ + 35588673, + 41182508 + ], + [ + 71086535, + 25006618 + ], + [ + 30023828, + 28850047 + ], + [ + 71131361, + 26485775 + ], + [ + 2991515, + 8057677 + ], + [ + 84562987, + 20774123 + ], + [ + 54289319, + 51641771 + ], + [ + 66628379, + 13134560 + ], + [ + 85947338, + 45714562 + ], + [ + 36139223, + 50685262 + ], + [ + 46943765, + 12671173 + ], + [ + 84846114, + 7194675 + ], + [ + 30777557, + 32606063 + ], + [ + 58172407, + 58694183 + ], + [ + 28289644, + 70612232 + ], + [ + 23222463, + 52235885 + ], + [ + 2089386, + 3882034 + ], + [ + 40273996, + 80598881 + ], + [ + 30665580, + 84214824 + ], + [ + 93818049, + 22096549 + ], + [ + 37449501, + 32831253 + ], + [ + 68411326, + 13292174 + ], + [ + 56424971, + 64520810 + ], + [ + 17660641, + 82847269 + ], + [ + 32835612, + 43050785 + ], + [ + 77458106, + 97252660 + ], + [ + 20729491, + 87235403 + ], + [ + 6095363, + 91628986 + ], + [ + 56909497, + 75854295 + ], + [ + 16186383, + 97567884 + ], + [ + 523619, + 41675783 + ], + [ + 88442948, + 68891868 + ], + [ + 73365575, + 85779136 + ], + [ + 38830926, + 13495691 + ], + [ + 63033169, + 93803965 + ], + [ + 72052793, + 60913843 + ], + [ + 22822793, + 81268181 + ], + [ + 16881310, + 78701963 + ], + [ + 26726247, + 94081579 + ], + [ + 83262161, + 72039881 + ], + [ + 88171362, + 54484197 + ], + [ + 5102170, + 40310801 + ], + [ + 93162056, + 36310860 + ], + [ + 71868452, + 25141320 + ], + [ + 217341, + 43316499 + ], + [ + 56776785, + 8406056 + ], + [ + 90011488, + 69456866 + ], + [ + 12215516, + 21683829 + ], + [ + 94034144, + 25243060 + ], + [ + 77671846, + 27526674 + ], + [ + 84081240, + 39627233 + ], + [ + 42718156, + 42430204 + ], + [ + 28560185, + 38908731 + ], + [ + 32678454, + 83449892 + ], + [ + 79005231, + 26413329 + ], + [ + 54619087, + 65157798 + ], + [ + 31112602, + 29770631 + ], + [ + 89975627, + 58046309 + ], + [ + 63659508, + 6596082 + ], + [ + 83878953, + 1206011 + ], + [ + 72851155, + 78066681 + ], + [ + 64314260, + 20422718 + ], + [ + 4068513, + 26490581 + ], + [ + 52543413, + 9946242 + ], + [ + 72968812, + 23808391 + ], + [ + 93467956, + 40543293 + ], + [ + 35346135, + 30083118 + ], + [ + 61344275, + 90516241 + ], + [ + 73702385, + 25969555 + ], + [ + 44796055, + 45494932 + ], + [ + 72123968, + 63649439 + ], + [ + 2613110, + 97220921 + ], + [ + 56299111, + 76278863 + ], + [ + 33781894, + 60613263 + ], + [ + 32106171, + 30145420 + ], + [ + 7090620, + 13843811 + ], + [ + 95964967, + 79491774 + ], + [ + 65559277, + 72485787 + ], + [ + 73201095, + 16519257 + ], + [ + 56457960, + 9768362 + ], + [ + 12583261, + 14650403 + ], + [ + 78243467, + 15974735 + ], + [ + 84278090, + 55085343 + ], + [ + 921888, + 55565988 + ], + [ + 77032556, + 17102536 + ], + [ + 68436294, + 43108310 + ], + [ + 1952251, + 131876 + ], + [ + 76706444, + 24876886 + ], + [ + 3348781, + 79792271 + ], + [ + 34693490, + 66267432 + ], + [ + 50148558, + 12302660 + ], + [ + 68681232, + 85998961 + ], + [ + 5240306, + 75311371 + ], + [ + 39709327, + 93652765 + ], + [ + 36012016, + 17331796 + ], + [ + 44481493, + 7486794 + ], + [ + 27137866, + 18148124 + ], + [ + 99505636, + 35342514 + ], + [ + 82446147, + 70320772 + ], + [ + 20531377, + 89365764 + ], + [ + 15452912, + 81070208 + ], + [ + 22138532, + 89089791 + ], + [ + 68476354, + 46362722 + ], + [ + 24353285, + 28806596 + ], + [ + 16387916, + 7116869 + ], + [ + 58374005, + 24377873 + ], + [ + 16203993, + 40541649 + ], + [ + 9584140, + 47469660 + ], + [ + 26313979, + 20424335 + ], + [ + 29045863, + 40509041 + ], + [ + 5660667, + 58353120 + ], + [ + 7404214, + 48529725 + ], + [ + 36631484, + 66797668 + ], + [ + 91275203, + 36993040 + ], + [ + 29782942, + 5914248 + ], + [ + 37830841, + 58964130 + ], + [ + 7749793, + 97073101 + ], + [ + 1920498, + 6946715 + ], + [ + 16811047, + 10449924 + ], + [ + 28201876, + 35483430 + ], + [ + 8875695, + 6804388 + ], + [ + 84456997, + 28974422 + ], + [ + 83514724, + 86094361 + ], + [ + 41155638, + 38561193 + ], + [ + 68917780, + 43059810 + ], + [ + 99635004, + 61906685 + ], + [ + 3354238, + 95973386 + ], + [ + 38180035, + 74977 + ], + [ + 68987613, + 14042777 + ], + [ + 19918223, + 17363209 + ], + [ + 59126016, + 34838817 + ], + [ + 53669311, + 80529978 + ], + [ + 61794948, + 24954482 + ], + [ + 79664474, + 88010004 + ], + [ + 80538683, + 93579429 + ], + [ + 27352844, + 5016303 + ], + [ + 58398036, + 28089802 + ], + [ + 54058736, + 29312555 + ], + [ + 63437598, + 51447133 + ], + [ + 36694716, + 18134012 + ], + [ + 28873888, + 86230259 + ], + [ + 50042118, + 59768565 + ], + [ + 23111391, + 20447502 + ], + [ + 16236523, + 31361507 + ], + [ + 15332555, + 6544577 + ], + [ + 65980946, + 26879708 + ], + [ + 72935923, + 62766796 + ], + [ + 92873302, + 82531131 + ], + [ + 90357385, + 68438497 + ], + [ + 19276762, + 68080466 + ], + [ + 82062608, + 72360331 + ], + [ + 93543326, + 29293750 + ], + [ + 59119661, + 37505705 + ], + [ + 41881028, + 60279380 + ], + [ + 39074630, + 25074833 + ], + [ + 76692707, + 16025561 + ], + [ + 18056820, + 43845415 + ], + [ + 50832076, + 768247 + ], + [ + 42227881, + 41979426 + ], + [ + 60599493, + 82036961 + ], + [ + 50655341, + 90766527 + ], + [ + 38563571, + 48780445 + ], + [ + 26702980, + 93462606 + ], + [ + 80624874, + 24251732 + ], + [ + 86380128, + 58604978 + ], + [ + 2395213, + 93008601 + ], + [ + 42975624, + 39868000 + ], + [ + 88816847, + 65409908 + ], + [ + 70841411, + 48417678 + ], + [ + 44690273, + 35900113 + ], + [ + 29700347, + 59108261 + ], + [ + 75354902, + 21341412 + ], + [ + 82373266, + 37695968 + ], + [ + 34444069, + 5233668 + ], + [ + 87412743, + 60203921 + ], + [ + 25893534, + 84844057 + ], + [ + 54278142, + 72884231 + ], + [ + 41742840, + 35346566 + ], + [ + 70847833, + 91175449 + ], + [ + 62703172, + 24563741 + ], + [ + 20999501, + 34005456 + ], + [ + 7637354, + 70147667 + ], + [ + 67568493, + 70638919 + ], + [ + 2355612, + 65264288 + ], + [ + 31894030, + 26992913 + ], + [ + 81844272, + 63383632 + ], + [ + 57712345, + 32815902 + ], + [ + 4396830, + 42688688 + ], + [ + 53791238, + 26735780 + ], + [ + 82233948, + 90906744 + ], + [ + 51688859, + 25111856 + ], + [ + 71603692, + 16999132 + ], + [ + 61320225, + 5808198 + ], + [ + 51656059, + 67460938 + ], + [ + 28414525, + 31456752 + ], + [ + 93583302, + 2205149 + ], + [ + 27282759, + 43169753 + ], + [ + 38493602, + 11814607 + ], + [ + 66725853, + 58960426 + ], + [ + 43122549, + 49312965 + ], + [ + 90068993, + 83498397 + ], + [ + 31401580, + 3632802 + ], + [ + 60142162, + 98991135 + ], + [ + 22573925, + 72896256 + ], + [ + 84165466, + 98583783 + ], + [ + 64552269, + 10273914 + ], + [ + 84579838, + 86674218 + ], + [ + 29641280, + 14708770 + ], + [ + 43938246, + 79836270 + ], + [ + 16994733, + 80150479 + ], + [ + 43113467, + 85842082 + ], + [ + 4766285, + 57514450 + ], + [ + 55507764, + 15390690 + ], + [ + 56132012, + 91559189 + ], + [ + 38149330, + 14292405 + ], + [ + 88438150, + 65905754 + ], + [ + 17967674, + 76782172 + ], + [ + 68729230, + 88389374 + ], + [ + 77257136, + 89580791 + ], + [ + 86422138, + 37777032 + ], + [ + 15818976, + 84169523 + ], + [ + 63425287, + 21041349 + ], + [ + 57017807, + 23663850 + ], + [ + 69630354, + 2981835 + ], + [ + 47336067, + 60716646 + ], + [ + 4386572, + 59904527 + ], + [ + 56432311, + 78736046 + ], + [ + 54429676, + 12699910 + ], + [ + 83915723, + 5699172 + ], + [ + 21001011, + 81873999 + ], + [ + 46292498, + 80966481 + ], + [ + 73695350, + 60182785 + ], + [ + 74888646, + 50266062 + ], + [ + 14891083, + 29189420 + ], + [ + 88658212, + 9719521 + ], + [ + 58826106, + 13281219 + ], + [ + 70851379, + 9891283 + ], + [ + 80935857, + 95794468 + ], + [ + 80522605, + 71451877 + ], + [ + 63302306, + 27557088 + ], + [ + 98546033, + 17743065 + ], + [ + 18773709, + 68310597 + ], + [ + 83453380, + 41414782 + ], + [ + 8666142, + 85386246 + ], + [ + 35502132, + 59635544 + ], + [ + 23453095, + 41519440 + ], + [ + 52509040, + 87780294 + ], + [ + 10268562, + 17120903 + ], + [ + 645675, + 28553124 + ], + [ + 13069254, + 49713115 + ], + [ + 46709385, + 78278679 + ], + [ + 31245850, + 50149837 + ], + [ + 46954215, + 61491469 + ], + [ + 52596156, + 97281027 + ], + [ + 74551502, + 51963825 + ], + [ + 51147108, + 35871636 + ], + [ + 46652884, + 59344764 + ], + [ + 71710824, + 87519702 + ], + [ + 64568893, + 93244105 + ], + [ + 14657893, + 97664633 + ], + [ + 50257699, + 66034223 + ], + [ + 45754301, + 16263925 + ], + [ + 24579303, + 15309722 + ], + [ + 94060769, + 72372950 + ], + [ + 87070038, + 11999560 + ], + [ + 42606186, + 90498317 + ], + [ + 89120998, + 76217943 + ], + [ + 10106874, + 86988582 + ], + [ + 71056231, + 30974372 + ], + [ + 59111137, + 63258096 + ], + [ + 52929328, + 5681342 + ], + [ + 62906331, + 92397722 + ], + [ + 1107613, + 80538952 + ], + [ + 89284798, + 88736113 + ], + [ + 46719097, + 52203037 + ], + [ + 47166112, + 21137469 + ], + [ + 21406067, + 13950173 + ], + [ + 54218523, + 14690715 + ], + [ + 39300524, + 44820527 + ], + [ + 78967599, + 29498451 + ], + [ + 44658358, + 26607364 + ], + [ + 3667471, + 24206011 + ], + [ + 36744477, + 93578945 + ], + [ + 75487783, + 37830423 + ], + [ + 80425329, + 16394482 + ], + [ + 4181272, + 1565246 + ], + [ + 22479288, + 30311848 + ], + [ + 54048224, + 92559555 + ], + [ + 8390086, + 62109787 + ], + [ + 56116074, + 92146072 + ], + [ + 84457942, + 73088378 + ], + [ + 20778215, + 78613271 + ], + [ + 44570332, + 41316676 + ], + [ + 42322380, + 90900363 + ], + [ + 82942548, + 58160800 + ], + [ + 66755017, + 9794300 + ], + [ + 26453708, + 85920185 + ], + [ + 29834145, + 83791238 + ], + [ + 24377651, + 61437816 + ], + [ + 38009154, + 95533254 + ], + [ + 31264964, + 23153401 + ], + [ + 58629547, + 63696566 + ], + [ + 32819534, + 45402628 + ], + [ + 15507291, + 66560326 + ], + [ + 27529558, + 41457017 + ], + [ + 75309824, + 43939758 + ], + [ + 85290490, + 27947415 + ], + [ + 214945, + 48490317 + ], + [ + 31603563, + 18606313 + ], + [ + 85540308, + 55690652 + ], + [ + 43002553, + 69213366 + ], + [ + 18721517, + 26345044 + ], + [ + 80724908, + 10867569 + ], + [ + 17492050, + 76360125 + ], + [ + 13804818, + 4859200 + ], + [ + 71865961, + 44744234 + ], + [ + 73227908, + 47524100 + ], + [ + 83131056, + 11419999 + ], + [ + 39402210, + 74495930 + ], + [ + 99858104, + 84715650 + ], + [ + 79158327, + 51925510 + ], + [ + 94816148, + 89777092 + ], + [ + 84712225, + 3942788 + ], + [ + 28396361, + 6420152 + ], + [ + 53555592, + 44278197 + ], + [ + 36727847, + 3673209 + ], + [ + 35985753, + 1881793 + ], + [ + 7350603, + 45088869 + ], + [ + 3935197, + 9751598 + ], + [ + 1668544, + 23090080 + ], + [ + 53939510, + 35649086 + ], + [ + 44425958, + 11564220 + ], + [ + 64386232, + 81562856 + ], + [ + 46145609, + 21055712 + ], + [ + 80554245, + 25023378 + ], + [ + 27099643, + 88692606 + ], + [ + 70442035, + 65222282 + ], + [ + 51745846, + 73534338 + ], + [ + 16442921, + 96695392 + ], + [ + 96794853, + 80234741 + ], + [ + 21246882, + 55311757 + ], + [ + 40728350, + 41888582 + ], + [ + 55645504, + 63048671 + ], + [ + 99657313, + 72928737 + ], + [ + 92800106, + 77633837 + ], + [ + 23757554, + 91842118 + ], + [ + 22693767, + 46986682 + ], + [ + 53984857, + 41394782 + ], + [ + 38780421, + 25144657 + ], + [ + 61250029, + 31137434 + ], + [ + 8044283, + 14532710 + ], + [ + 79921669, + 47368734 + ], + [ + 46892210, + 41705498 + ], + [ + 47684670, + 81921849 + ], + [ + 57118585, + 36116306 + ], + [ + 28513505, + 36713529 + ], + [ + 93966781, + 85240815 + ], + [ + 99611644, + 47568811 + ], + [ + 59429616, + 27152175 + ], + [ + 67223717, + 11146662 + ], + [ + 75716497, + 69502428 + ], + [ + 57927503, + 42605440 + ], + [ + 28923891, + 37104267 + ], + [ + 47206191, + 16297303 + ], + [ + 95359661, + 34893147 + ], + [ + 69190809, + 30151083 + ], + [ + 77693916, + 53596919 + ], + [ + 29386031, + 34022084 + ], + [ + 69027053, + 52340450 + ], + [ + 84476413, + 38719850 + ], + [ + 15019509, + 49928837 + ], + [ + 58394819, + 60940298 + ], + [ + 74335990, + 8563432 + ], + [ + 57014524, + 59851424 + ], + [ + 42893848, + 4316381 + ], + [ + 35459445, + 50514325 + ], + [ + 38427681, + 5207626 + ], + [ + 81778038, + 57562148 + ], + [ + 10988014, + 19984016 + ], + [ + 9903406, + 58578852 + ], + [ + 56728143, + 3778711 + ], + [ + 77075809, + 67919209 + ], + [ + 13752854, + 84946642 + ], + [ + 67701524, + 50541058 + ], + [ + 27624235, + 93226021 + ], + [ + 88035694, + 76097274 + ], + [ + 15316815, + 15585602 + ], + [ + 83699643, + 81145711 + ], + [ + 11249379, + 99585057 + ], + [ + 33604583, + 63046864 + ], + [ + 56287653, + 56019626 + ], + [ + 15164892, + 66985782 + ], + [ + 48768254, + 22844378 + ], + [ + 2307856, + 26030978 + ], + [ + 53266345, + 53798201 + ], + [ + 49939817, + 58334780 + ], + [ + 18795575, + 55250480 + ], + [ + 8136938, + 65751255 + ], + [ + 89291731, + 5298164 + ], + [ + 54655850, + 7443803 + ], + [ + 12049476, + 7372275 + ], + [ + 49407832, + 15940098 + ], + [ + 23563304, + 16955417 + ], + [ + 15193011, + 66394084 + ], + [ + 33719299, + 98983088 + ], + [ + 56290257, + 18735635 + ], + [ + 35239795, + 13897166 + ], + [ + 7982108, + 57568868 + ], + [ + 98175236, + 1084792 + ], + [ + 58481654, + 75535904 + ], + [ + 59741580, + 38193494 + ], + [ + 47431374, + 63872978 + ], + [ + 38753016, + 91037860 + ], + [ + 71812109, + 49341230 + ], + [ + 40396768, + 24316702 + ], + [ + 75608420, + 15606175 + ], + [ + 98228851, + 39755480 + ], + [ + 63047168, + 1149673 + ], + [ + 59863260, + 69656522 + ], + [ + 92486516, + 18378135 + ], + [ + 63360868, + 1394487 + ], + [ + 72144914, + 75376069 + ], + [ + 34171403, + 13841971 + ], + [ + 20945399, + 1503300 + ], + [ + 68712136, + 2153364 + ], + [ + 69687771, + 69198548 + ], + [ + 32913267, + 45208447 + ], + [ + 58859130, + 70263431 + ], + [ + 3433895, + 18170649 + ], + [ + 16190668, + 64589592 + ], + [ + 15026071, + 13932578 + ], + [ + 72986853, + 21102849 + ], + [ + 19597756, + 18472709 + ], + [ + 46752679, + 72464830 + ], + [ + 97394349, + 78145276 + ], + [ + 40850957, + 47066041 + ], + [ + 38637961, + 61295704 + ], + [ + 66979333, + 7500917 + ], + [ + 91116172, + 78999253 + ], + [ + 68704943, + 33548293 + ], + [ + 12959544, + 81738938 + ], + [ + 65008356, + 80290934 + ], + [ + 57104031, + 47467209 + ], + [ + 58686155, + 81388424 + ], + [ + 68139213, + 57616457 + ], + [ + 8714683, + 28664292 + ], + [ + 57249915, + 29320782 + ], + [ + 55820783, + 37920412 + ], + [ + 31686076, + 11504633 + ], + [ + 93746447, + 64550730 + ], + [ + 59170956, + 52156991 + ], + [ + 42789328, + 15392114 + ], + [ + 90779205, + 19885325 + ], + [ + 642788, + 57846139 + ], + [ + 18532337, + 35293860 + ], + [ + 24213036, + 70036238 + ], + [ + 77977531, + 48602577 + ], + [ + 66553276, + 38763782 + ], + [ + 94928807, + 13852037 + ], + [ + 18779529, + 75455767 + ], + [ + 25768071, + 45319352 + ], + [ + 53384036, + 81696082 + ], + [ + 88580572, + 22582574 + ], + [ + 15617552, + 99223150 + ], + [ + 80913396, + 70545803 + ], + [ + 43916207, + 50204707 + ], + [ + 57994790, + 27677158 + ], + [ + 67946322, + 10286574 + ], + [ + 21960043, + 15558530 + ], + [ + 64662247, + 92097466 + ], + [ + 19898805, + 55409131 + ], + [ + 51503775, + 95092330 + ], + [ + 97827693, + 90564602 + ], + [ + 68334044, + 90374728 + ], + [ + 70492789, + 54052208 + ], + [ + 64424598, + 95368287 + ], + [ + 15909800, + 24828646 + ], + [ + 19527656, + 35697355 + ], + [ + 3218068, + 65679697 + ], + [ + 55833600, + 14957376 + ], + [ + 51769770, + 59937795 + ], + [ + 93215456, + 36900866 + ], + [ + 76285247, + 37987719 + ], + [ + 61852159, + 84128343 + ], + [ + 56264288, + 60153678 + ], + [ + 69696108, + 64550975 + ], + [ + 15328549, + 65909707 + ], + [ + 42177895, + 57275231 + ], + [ + 35071514, + 38332293 + ], + [ + 36661726, + 46252586 + ], + [ + 12937872, + 21962942 + ], + [ + 80165326, + 99335460 + ], + [ + 91550102, + 11601174 + ], + [ + 27679985, + 59845398 + ], + [ + 50939830, + 72874377 + ], + [ + 26638237, + 12626275 + ], + [ + 3908520, + 33523287 + ], + [ + 83628198, + 89165976 + ], + [ + 34682288, + 63479346 + ], + [ + 76328064, + 2423015 + ], + [ + 49602700, + 71814975 + ], + [ + 73256154, + 90658970 + ], + [ + 50139902, + 57198782 + ], + [ + 79747344, + 78653787 + ], + [ + 66277364, + 46840506 + ], + [ + 96994841, + 20287164 + ], + [ + 24552685, + 23244722 + ], + [ + 39402156, + 95420263 + ], + [ + 24023902, + 76193887 + ], + [ + 91588237, + 23147631 + ], + [ + 4584595, + 62223145 + ], + [ + 64119006, + 50543269 + ], + [ + 77718060, + 28113653 + ], + [ + 15994298, + 52902734 + ], + [ + 73947076, + 13725445 + ], + [ + 96294381, + 34190810 + ], + [ + 48538277, + 46737189 + ], + [ + 81172621, + 76131890 + ], + [ + 3706409, + 14477769 + ], + [ + 18033594, + 8209212 + ], + [ + 15070306, + 57461677 + ], + [ + 88867242, + 84298598 + ], + [ + 8759816, + 13836531 + ], + [ + 76922334, + 82677451 + ], + [ + 69708687, + 98216245 + ], + [ + 86750474, + 56888271 + ], + [ + 42459945, + 93575387 + ], + [ + 80276963, + 91104111 + ], + [ + 5019110, + 68358099 + ], + [ + 38605087, + 56473201 + ], + [ + 72502469, + 69318685 + ], + [ + 14592466, + 81676373 + ], + [ + 61385741, + 58030210 + ], + [ + 73665731, + 92553372 + ], + [ + 6632810, + 91488046 + ], + [ + 29646912, + 20425847 + ], + [ + 43986889, + 54084629 + ], + [ + 66201092, + 18198125 + ], + [ + 47318768, + 80736166 + ], + [ + 9609645, + 52221153 + ], + [ + 31681737, + 90933634 + ], + [ + 16665381, + 85928984 + ], + [ + 87134173, + 21791597 + ], + [ + 24362586, + 19254886 + ], + [ + 66567526, + 26313653 + ], + [ + 62520746, + 96118055 + ], + [ + 79882395, + 75803202 + ], + [ + 32387670, + 38432348 + ], + [ + 95174141, + 71693937 + ], + [ + 75263638, + 57415135 + ], + [ + 92316618, + 75448664 + ], + [ + 82071932, + 85576240 + ], + [ + 29201328, + 22014230 + ], + [ + 44719535, + 18624605 + ], + [ + 75349635, + 57012076 + ], + [ + 88747885, + 11486661 + ], + [ + 17429186, + 23119588 + ], + [ + 83165555, + 39645585 + ], + [ + 47430123, + 63831167 + ], + [ + 16255605, + 64188376 + ], + [ + 74406665, + 58408122 + ], + [ + 72240075, + 33105486 + ], + [ + 8885201, + 76624937 + ], + [ + 79182321, + 98748697 + ], + [ + 41519464, + 59913883 + ], + [ + 32970286, + 70907202 + ], + [ + 60192203, + 2045216 + ], + [ + 58560140, + 9171856 + ], + [ + 12493840, + 45923693 + ], + [ + 3382706, + 31104703 + ], + [ + 7225586, + 88592870 + ], + [ + 48853517, + 83100395 + ], + [ + 1291311, + 73877465 + ], + [ + 16929233, + 69419403 + ], + [ + 14133648, + 62542318 + ], + [ + 19175695, + 12542047 + ], + [ + 75311687, + 82637284 + ], + [ + 69535852, + 18925858 + ], + [ + 87487734, + 62301834 + ], + [ + 92061451, + 16164223 + ], + [ + 59254764, + 45731849 + ], + [ + 99901569, + 67640068 + ], + [ + 12040591, + 69393991 + ], + [ + 44906414, + 44291954 + ], + [ + 30658155, + 81985261 + ], + [ + 73106629, + 57994731 + ], + [ + 7870725, + 4368440 + ], + [ + 97409089, + 67967031 + ], + [ + 97738235, + 64230776 + ], + [ + 24943091, + 73326646 + ], + [ + 75510733, + 8799066 + ], + [ + 4577005, + 98183318 + ], + [ + 6750049, + 12068614 + ], + [ + 10089692, + 74260893 + ], + [ + 91839591, + 63793437 + ], + [ + 48760022, + 38409561 + ], + [ + 79738250, + 78758748 + ], + [ + 58221678, + 71202335 + ], + [ + 8043046, + 76177651 + ], + [ + 64408459, + 84067055 + ], + [ + 69454751, + 45410078 + ], + [ + 31850875, + 87366641 + ], + [ + 95102517, + 74603458 + ], + [ + 40727096, + 77449021 + ], + [ + 93494292, + 66150351 + ], + [ + 2867004, + 42759414 + ], + [ + 71367845, + 17599382 + ], + [ + 68104107, + 66164573 + ], + [ + 63165665, + 17204685 + ], + [ + 71942151, + 45931388 + ], + [ + 65299113, + 99070934 + ], + [ + 72553371, + 59475431 + ], + [ + 81620238, + 46426537 + ], + [ + 66857931, + 1685801 + ], + [ + 27104589, + 98678001 + ], + [ + 70821096, + 76049622 + ], + [ + 30917295, + 65195781 + ], + [ + 9230291, + 85607398 + ], + [ + 12721515, + 77958588 + ], + [ + 36589587, + 43674662 + ], + [ + 35462929, + 11122203 + ], + [ + 81983108, + 96757221 + ], + [ + 2541545, + 88425585 + ], + [ + 78310592, + 66859486 + ], + [ + 53543589, + 73609080 + ], + [ + 21671681, + 69930007 + ], + [ + 40600104, + 47376304 + ], + [ + 93803291, + 54614610 + ], + [ + 97155151, + 30119478 + ], + [ + 63616796, + 3689791 + ], + [ + 96246304, + 82941378 + ], + [ + 59505896, + 37058070 + ], + [ + 56666665, + 10491269 + ], + [ + 40291918, + 15598325 + ], + [ + 49498765, + 61871088 + ], + [ + 31090124, + 99166856 + ], + [ + 83605551, + 95979052 + ], + [ + 98077256, + 74759852 + ], + [ + 74624530, + 94396288 + ], + [ + 58931497, + 53135467 + ], + [ + 90265780, + 66177751 + ], + [ + 93875832, + 72387041 + ], + [ + 98543793, + 77579157 + ], + [ + 36968245, + 39922183 + ], + [ + 33960473, + 14718874 + ], + [ + 13399350, + 24034680 + ], + [ + 2639607, + 27037985 + ], + [ + 3510755, + 13493449 + ], + [ + 11524788, + 92391293 + ], + [ + 53013854, + 16759602 + ], + [ + 27594311, + 11243791 + ], + [ + 29146100, + 72709950 + ], + [ + 94364968, + 90867314 + ], + [ + 98711933, + 8480544 + ], + [ + 47553008, + 90577255 + ], + [ + 29216866, + 15062813 + ], + [ + 38423662, + 5646277 + ], + [ + 95666014, + 55030402 + ], + [ + 59190895, + 79742380 + ], + [ + 49541794, + 3031859 + ], + [ + 30333510, + 56233000 + ], + [ + 78112696, + 56325847 + ], + [ + 89753812, + 94386430 + ], + [ + 62768841, + 4010239 + ], + [ + 22414734, + 99881232 + ], + [ + 92068920, + 74805214 + ], + [ + 41576757, + 22049014 + ], + [ + 40376441, + 34855377 + ], + [ + 24376207, + 52260198 + ], + [ + 43904068, + 22221513 + ], + [ + 73737602, + 36469402 + ], + [ + 85280462, + 37876890 + ], + [ + 98381151, + 34050640 + ], + [ + 52510572, + 91872596 + ], + [ + 68142639, + 48331508 + ], + [ + 63389434, + 19390183 + ], + [ + 13715582, + 13536165 + ], + [ + 15228799, + 45966300 + ], + [ + 14352781, + 78609119 + ], + [ + 50496461, + 63933725 + ], + [ + 75278254, + 92694795 + ], + [ + 3587208, + 57331667 + ], + [ + 66034053, + 31346093 + ], + [ + 77237419, + 12117460 + ], + [ + 57140580, + 63646622 + ], + [ + 7764193, + 57497373 + ], + [ + 69330483, + 33124354 + ], + [ + 78012664, + 41561010 + ], + [ + 91520215, + 33060675 + ], + [ + 9902538, + 43010128 + ], + [ + 24746496, + 9407089 + ], + [ + 95274314, + 24162216 + ], + [ + 14171675, + 70103627 + ], + [ + 63854568, + 64390986 + ], + [ + 70742285, + 65815039 + ], + [ + 9905028, + 49461999 + ], + [ + 76468481, + 22081925 + ], + [ + 71580777, + 5567424 + ], + [ + 85904722, + 18975938 + ], + [ + 14251257, + 70876860 + ], + [ + 35934273, + 72943776 + ], + [ + 28429166, + 74727122 + ], + [ + 74828347, + 5518496 + ], + [ + 99798109, + 12381048 + ], + [ + 97180042, + 11475857 + ], + [ + 10514239, + 78078446 + ], + [ + 97398349, + 51317922 + ], + [ + 92300141, + 85284563 + ], + [ + 33388275, + 72838457 + ], + [ + 1533685, + 88616246 + ], + [ + 3676174, + 74429334 + ], + [ + 69832293, + 65923585 + ], + [ + 72910927, + 84074598 + ], + [ + 96483895, + 13572088 + ], + [ + 3362842, + 85182553 + ], + [ + 61303166, + 25948428 + ], + [ + 40844439, + 41495490 + ], + [ + 24512795, + 15435234 + ], + [ + 18350738, + 3776433 + ], + [ + 75224988, + 18247772 + ], + [ + 75662565, + 61213765 + ], + [ + 8121133, + 41381159 + ], + [ + 56489319, + 35758991 + ], + [ + 37412108, + 14421406 + ], + [ + 29475222, + 83038018 + ], + [ + 95384247, + 27135261 + ], + [ + 42338348, + 43931405 + ], + [ + 92663112, + 89655550 + ], + [ + 55855995, + 86430651 + ], + [ + 2627884, + 98266470 + ], + [ + 61476610, + 20567140 + ], + [ + 81277895, + 14359680 + ], + [ + 73657217, + 97396211 + ], + [ + 64407124, + 88463108 + ], + [ + 20441542, + 86055259 + ], + [ + 86106837, + 49239333 + ], + [ + 20080321, + 92446629 + ], + [ + 43276469, + 6618260 + ], + [ + 40631831, + 15415342 + ], + [ + 68583535, + 10570046 + ], + [ + 93983827, + 83189000 + ], + [ + 92728243, + 33596493 + ], + [ + 4075498, + 68369446 + ], + [ + 30437945, + 55034354 + ], + [ + 7484158, + 98101091 + ], + [ + 89524177, + 5511601 + ], + [ + 55184665, + 68676208 + ], + [ + 74238646, + 80906615 + ], + [ + 65179486, + 94429735 + ], + [ + 72793336, + 80720837 + ], + [ + 86158838, + 96907795 + ], + [ + 23682916, + 94456254 + ], + [ + 831723, + 57730469 + ], + [ + 84341552, + 32108250 + ], + [ + 31935368, + 32289758 + ], + [ + 81529689, + 39426867 + ], + [ + 93411950, + 76793408 + ], + [ + 20993067, + 95341972 + ], + [ + 39452681, + 58807541 + ], + [ + 35682295, + 89314162 + ], + [ + 80052188, + 90764608 + ], + [ + 31336864, + 3979569 + ], + [ + 77991585, + 59959349 + ], + [ + 82687887, + 43152165 + ], + [ + 65864755, + 28218671 + ], + [ + 76492473, + 49419318 + ], + [ + 30847437, + 66987020 + ], + [ + 96748853, + 74525111 + ], + [ + 24636963, + 27454852 + ], + [ + 75061128, + 80445686 + ], + [ + 58234210, + 93897980 + ], + [ + 30602562, + 70952360 + ], + [ + 92322979, + 18051525 + ], + [ + 13411053, + 80784557 + ], + [ + 69137947, + 24299674 + ], + [ + 99274858, + 37094813 + ], + [ + 82880721, + 6689121 + ], + [ + 10389049, + 46513166 + ], + [ + 29479258, + 61966246 + ], + [ + 43506498, + 76343033 + ], + [ + 16978090, + 75275194 + ], + [ + 76438044, + 11823339 + ], + [ + 45365991, + 92291896 + ], + [ + 92691727, + 76388321 + ], + [ + 25842013, + 12150166 + ], + [ + 68116944, + 99372072 + ], + [ + 71711586, + 76591695 + ], + [ + 82133931, + 1230131 + ], + [ + 39767001, + 46313381 + ], + [ + 93701591, + 90754387 + ], + [ + 98289302, + 23997387 + ], + [ + 28773355, + 41736790 + ], + [ + 38815015, + 48786388 + ], + [ + 43732595, + 85580821 + ], + [ + 39975599, + 68107668 + ], + [ + 76431007, + 61900975 + ], + [ + 21848434, + 34269228 + ], + [ + 31386270, + 8318208 + ], + [ + 48140446, + 25240210 + ], + [ + 62685447, + 37660142 + ], + [ + 69868161, + 97656389 + ], + [ + 33304306, + 49999726 + ], + [ + 759162, + 88497112 + ], + [ + 8980129, + 10214042 + ], + [ + 3734120, + 66640943 + ], + [ + 19989366, + 73690959 + ], + [ + 44601975, + 7247619 + ], + [ + 11334676, + 97272792 + ], + [ + 95561104, + 34097841 + ], + [ + 32473729, + 69274004 + ], + [ + 16264001, + 26073412 + ], + [ + 44459632, + 84864479 + ], + [ + 4787612, + 99370291 + ], + [ + 72225728, + 52242695 + ], + [ + 27694048, + 25623604 + ], + [ + 18456920, + 71366181 + ], + [ + 27600788, + 73851717 + ], + [ + 83513393, + 73767537 + ], + [ + 55583836, + 24814723 + ], + [ + 41899902, + 47740795 + ], + [ + 6592658, + 27713219 + ], + [ + 19639325, + 21222125 + ], + [ + 68041300, + 38026181 + ], + [ + 85378406, + 99642921 + ], + [ + 95737474, + 50358715 + ], + [ + 45082274, + 93461196 + ], + [ + 52196973, + 50480570 + ], + [ + 86591780, + 91888031 + ], + [ + 87683772, + 52256224 + ], + [ + 1583233, + 12987359 + ], + [ + 7402218, + 89252218 + ], + [ + 37480616, + 6296499 + ], + [ + 35032365, + 27763866 + ], + [ + 31997187, + 57854377 + ], + [ + 73476195, + 14533061 + ], + [ + 57176566, + 8791800 + ], + [ + 119374, + 44495001 + ], + [ + 58812189, + 99303767 + ], + [ + 40429043, + 4329833 + ], + [ + 32431633, + 73414992 + ], + [ + 58773409, + 49703497 + ], + [ + 13604865, + 83054719 + ], + [ + 82987691, + 87531870 + ], + [ + 44402212, + 22769544 + ], + [ + 68553583, + 42667608 + ], + [ + 29674839, + 98997216 + ], + [ + 85119248, + 40888515 + ], + [ + 96703313, + 64693693 + ], + [ + 93330856, + 14315984 + ], + [ + 67560047, + 5868939 + ], + [ + 99496263, + 66056314 + ], + [ + 46909164, + 29478728 + ], + [ + 90511428, + 33836170 + ], + [ + 78166346, + 28755346 + ], + [ + 4613278, + 13863048 + ], + [ + 62400956, + 98663966 + ], + [ + 28914513, + 40215307 + ], + [ + 35750493, + 93084672 + ], + [ + 91470210, + 4195028 + ], + [ + 83766437, + 88929711 + ], + [ + 71998766, + 68999095 + ], + [ + 48994825, + 35346779 + ], + [ + 38877492, + 60208124 + ], + [ + 36669398, + 60512510 + ], + [ + 59483761, + 48533896 + ], + [ + 7650009, + 83085759 + ], + [ + 54944687, + 46143694 + ], + [ + 54987666, + 35726555 + ], + [ + 69871134, + 21903414 + ], + [ + 84695472, + 91562945 + ], + [ + 17254232, + 31410792 + ], + [ + 25951253, + 42337178 + ], + [ + 72801702, + 88291251 + ], + [ + 40629072, + 70995945 + ], + [ + 35619079, + 94043287 + ], + [ + 86841825, + 80398078 + ], + [ + 4937117, + 44729195 + ], + [ + 43733673, + 73950649 + ], + [ + 14641961, + 34985465 + ], + [ + 54252625, + 93863916 + ], + [ + 63900915, + 79301854 + ], + [ + 52275826, + 52775853 + ], + [ + 29610451, + 37760944 + ], + [ + 63609991, + 42620113 + ], + [ + 8547726, + 45191754 + ], + [ + 95302426, + 49391105 + ], + [ + 88906804, + 73255718 + ], + [ + 98426649, + 27049388 + ], + [ + 96528494, + 89145342 + ], + [ + 16891441, + 70250099 + ], + [ + 67357407, + 42438663 + ], + [ + 81661109, + 98850319 + ], + [ + 84089689, + 83449208 + ], + [ + 31669684, + 43226343 + ], + [ + 31707753, + 59087875 + ], + [ + 76496156, + 34147460 + ], + [ + 63084727, + 54629282 + ], + [ + 62582731, + 97321551 + ], + [ + 55874074, + 66211196 + ], + [ + 22260820, + 51801742 + ], + [ + 54780574, + 19529462 + ], + [ + 4019539, + 71426748 + ], + [ + 84198110, + 45824240 + ], + [ + 65457338, + 67962087 + ], + [ + 21030988, + 47861423 + ], + [ + 32134294, + 72665825 + ], + [ + 71614787, + 83690110 + ], + [ + 21339100, + 39184003 + ], + [ + 94506940, + 77218104 + ], + [ + 56433163, + 16467012 + ], + [ + 17080264, + 2823785 + ], + [ + 89460153, + 43453012 + ], + [ + 29809832, + 31791142 + ], + [ + 87321697, + 64763207 + ], + [ + 71233151, + 3352622 + ], + [ + 87157140, + 10476447 + ], + [ + 49264505, + 4238353 + ], + [ + 37974967, + 56076483 + ], + [ + 80746394, + 64277755 + ], + [ + 83815542, + 61668787 + ], + [ + 62477057, + 36066570 + ], + [ + 44714443, + 64453083 + ], + [ + 29225570, + 54847650 + ], + [ + 9820127, + 67487447 + ], + [ + 99103730, + 72330000 + ], + [ + 23164667, + 60609726 + ], + [ + 81821011, + 69194835 + ], + [ + 98331889, + 37488966 + ], + [ + 20649792, + 47273476 + ], + [ + 49908661, + 13413159 + ], + [ + 23503367, + 70981686 + ], + [ + 50933415, + 52427058 + ], + [ + 81693083, + 14106891 + ], + [ + 25916083, + 72342606 + ], + [ + 31916568, + 68322452 + ], + [ + 51001870, + 32093088 + ], + [ + 87921878, + 78455943 + ], + [ + 11131872, + 6779355 + ], + [ + 71143997, + 96073233 + ], + [ + 92582595, + 84058102 + ], + [ + 64619746, + 36487401 + ], + [ + 46231141, + 81045779 + ], + [ + 81321427, + 93833588 + ], + [ + 20809148, + 65804476 + ], + [ + 31279278, + 58425192 + ], + [ + 46718533, + 53990933 + ], + [ + 80119533, + 99297114 + ], + [ + 18274247, + 63360499 + ], + [ + 63197746, + 78696326 + ], + [ + 61501685, + 6913087 + ], + [ + 13116876, + 66875903 + ], + [ + 48293597, + 16246448 + ], + [ + 68088962, + 59949863 + ], + [ + 22625553, + 93131662 + ], + [ + 64360346, + 39307374 + ], + [ + 50702387, + 10908071 + ], + [ + 83514537, + 3326045 + ], + [ + 26062880, + 11437725 + ], + [ + 45845522, + 2724651 + ], + [ + 96203732, + 56628791 + ], + [ + 23865376, + 61742598 + ], + [ + 1887295, + 25393104 + ], + [ + 8159801, + 91343736 + ], + [ + 58005804, + 70751653 + ], + [ + 70942066, + 54859930 + ], + [ + 75261040, + 93297944 + ], + [ + 73310484, + 15688074 + ], + [ + 29650207, + 50874405 + ], + [ + 54467400, + 96112823 + ], + [ + 86302737, + 6831243 + ], + [ + 80202765, + 59086472 + ], + [ + 57330563, + 67471531 + ], + [ + 1910078, + 9253213 + ], + [ + 19920616, + 66231714 + ], + [ + 35564885, + 71872129 + ], + [ + 22308968, + 601090 + ], + [ + 39726603, + 8983680 + ], + [ + 6392155, + 36418010 + ], + [ + 87462726, + 59430704 + ], + [ + 47896443, + 29796761 + ], + [ + 70608585, + 5827883 + ], + [ + 17103980, + 14214466 + ], + [ + 38773773, + 10828475 + ], + [ + 58099191, + 66587330 + ], + [ + 27930333, + 48904480 + ], + [ + 82071964, + 41560862 + ], + [ + 86541410, + 57576235 + ], + [ + 45278275, + 67139085 + ], + [ + 65687403, + 5169196 + ], + [ + 51378378, + 12386860 + ], + [ + 6131954, + 87153293 + ], + [ + 23207943, + 88743024 + ], + [ + 49591412, + 74208106 + ], + [ + 71146530, + 48284097 + ], + [ + 34891123, + 12895511 + ], + [ + 23908070, + 90121220 + ], + [ + 87932791, + 78086201 + ], + [ + 95421760, + 16841078 + ], + [ + 65540832, + 39114199 + ], + [ + 14546421, + 43907900 + ], + [ + 2806811, + 55915215 + ], + [ + 92188114, + 29996957 + ], + [ + 6283858, + 49174018 + ], + [ + 69259327, + 98074994 + ], + [ + 84658886, + 32536555 + ], + [ + 99220814, + 61732851 + ], + [ + 81449763, + 46817564 + ], + [ + 69162729, + 71873394 + ], + [ + 42178389, + 73123330 + ], + [ + 78790689, + 16633726 + ], + [ + 34919639, + 15726086 + ], + [ + 16492990, + 89563527 + ], + [ + 4072833, + 67159555 + ], + [ + 56665924, + 18365919 + ], + [ + 12357419, + 8535163 + ], + [ + 65389319, + 73085381 + ], + [ + 38982654, + 87981772 + ], + [ + 31464433, + 97937461 + ], + [ + 40092545, + 1385221 + ], + [ + 14245027, + 34975019 + ], + [ + 58528517, + 53522938 + ], + [ + 69861630, + 32892920 + ], + [ + 13524617, + 47028965 + ], + [ + 84068328, + 85718908 + ], + [ + 18754088, + 73778325 + ], + [ + 67206014, + 11864846 + ], + [ + 61314095, + 22076201 + ], + [ + 5096408, + 41328946 + ], + [ + 76403319, + 8720954 + ], + [ + 48090929, + 32285343 + ], + [ + 30958429, + 86577997 + ], + [ + 58472700, + 3257825 + ], + [ + 84698406, + 67806670 + ], + [ + 60420771, + 86707045 + ], + [ + 19112835, + 44184925 + ], + [ + 74391353, + 7807532 + ], + [ + 13242783, + 73390892 + ], + [ + 64398492, + 6697890 + ], + [ + 95695614, + 76275976 + ], + [ + 45453342, + 31080189 + ], + [ + 94992698, + 34677179 + ], + [ + 10579492, + 7054662 + ], + [ + 30120538, + 55461391 + ], + [ + 47710843, + 65462621 + ], + [ + 18781460, + 20715192 + ], + [ + 79523412, + 49738078 + ], + [ + 80750757, + 73168213 + ], + [ + 12643663, + 97431256 + ], + [ + 754860, + 46531174 + ], + [ + 77359635, + 30953773 + ], + [ + 99589951, + 73560907 + ], + [ + 19329367, + 37568211 + ], + [ + 28874655, + 94639296 + ], + [ + 28449794, + 74481811 + ], + [ + 46477128, + 75231880 + ], + [ + 5959846, + 61956382 + ], + [ + 22802555, + 35135486 + ], + [ + 21127911, + 49196619 + ], + [ + 37328425, + 50194705 + ], + [ + 23603939, + 65424452 + ], + [ + 50780760, + 26067057 + ], + [ + 20127430, + 97809350 + ], + [ + 698231, + 54151965 + ], + [ + 54540031, + 60770147 + ], + [ + 32982204, + 25819981 + ], + [ + 58855288, + 68929508 + ], + [ + 74664190, + 33178064 + ], + [ + 73225594, + 9689949 + ], + [ + 82474730, + 84757116 + ], + [ + 3397822, + 4680292 + ], + [ + 90099680, + 55967717 + ], + [ + 47308127, + 66466899 + ], + [ + 76250443, + 21617111 + ], + [ + 2528139, + 91471326 + ], + [ + 27859501, + 65580665 + ], + [ + 75313249, + 87209113 + ], + [ + 6558540, + 44822197 + ], + [ + 15847951, + 67238190 + ], + [ + 64190752, + 72364130 + ], + [ + 17224331, + 33640448 + ], + [ + 69889602, + 52620195 + ], + [ + 67362967, + 85919385 + ], + [ + 36914684, + 59374085 + ], + [ + 25757337, + 48720419 + ], + [ + 4740338, + 64357097 + ], + [ + 38736525, + 29692488 + ], + [ + 10322232, + 74777787 + ], + [ + 40227344, + 44774433 + ], + [ + 94493523, + 92248827 + ], + [ + 68771551, + 98502511 + ], + [ + 87674307, + 60264759 + ], + [ + 12623416, + 98170905 + ], + [ + 49165988, + 22266496 + ], + [ + 49846959, + 22220166 + ], + [ + 46842968, + 30077564 + ], + [ + 15770910, + 85280853 + ], + [ + 99628339, + 29697617 + ], + [ + 31718898, + 38055811 + ], + [ + 4066493, + 26824704 + ], + [ + 79222593, + 86787593 + ], + [ + 64014148, + 87374431 + ], + [ + 44388447, + 47696521 + ], + [ + 82039486, + 64615906 + ], + [ + 4348457, + 54992242 + ], + [ + 28782553, + 24744663 + ], + [ + 43949810, + 41360865 + ], + [ + 42506599, + 77379455 + ], + [ + 21454802, + 92435425 + ], + [ + 49468811, + 22726110 + ], + [ + 84048220, + 81379802 + ], + [ + 23638300, + 18877052 + ], + [ + 61315621, + 13621159 + ], + [ + 27700522, + 62516175 + ], + [ + 8984962, + 50090346 + ], + [ + 96605707, + 36908315 + ], + [ + 67904786, + 35652661 + ], + [ + 65346949, + 19852115 + ], + [ + 86525024, + 17873206 + ], + [ + 91443986, + 28690629 + ], + [ + 46399148, + 92539534 + ], + [ + 67347521, + 8874260 + ], + [ + 40538515, + 14999389 + ], + [ + 36774572, + 3013440 + ], + [ + 62277151, + 81177431 + ], + [ + 84425078, + 89191114 + ], + [ + 14305626, + 75135556 + ], + [ + 16933122, + 72353407 + ], + [ + 38655350, + 41080305 + ], + [ + 38882961, + 93744387 + ], + [ + 51951436, + 13550210 + ], + [ + 4135946, + 87064600 + ], + [ + 66018664, + 8860040 + ], + [ + 98639629, + 95892493 + ], + [ + 19661567, + 28518999 + ], + [ + 14840328, + 68893188 + ], + [ + 18345160, + 42662560 + ], + [ + 5162788, + 88395334 + ], + [ + 30673635, + 49769022 + ], + [ + 53913047, + 83544753 + ], + [ + 25495869, + 13462072 + ], + [ + 85593330, + 72242241 + ], + [ + 86997357, + 99280736 + ], + [ + 82519646, + 96240240 + ], + [ + 57580420, + 16297280 + ], + [ + 69005675, + 37736605 + ], + [ + 8137497, + 90733597 + ], + [ + 76568505, + 96171155 + ], + [ + 96800460, + 74315381 + ], + [ + 99259816, + 44396588 + ], + [ + 19669829, + 22746950 + ], + [ + 70672340, + 73348187 + ], + [ + 8715407, + 92098532 + ], + [ + 99086158, + 26523792 + ], + [ + 15823632, + 96850918 + ], + [ + 31805022, + 20183856 + ], + [ + 19998346, + 4645940 + ], + [ + 85455661, + 10476864 + ], + [ + 2715142, + 68491765 + ], + [ + 86949512, + 96451228 + ], + [ + 66977014, + 23573528 + ], + [ + 93320565, + 17753815 + ], + [ + 4138483, + 2542150 + ], + [ + 71783177, + 14384509 + ], + [ + 33169671, + 24995708 + ], + [ + 7212649, + 6819263 + ], + [ + 6276980, + 96494381 + ], + [ + 35552505, + 60893569 + ], + [ + 33112639, + 85957959 + ], + [ + 19376414, + 32792505 + ], + [ + 26936616, + 81115135 + ], + [ + 90072775, + 69611791 + ], + [ + 75256115, + 35615418 + ], + [ + 65651994, + 11526785 + ], + [ + 65751045, + 96664946 + ], + [ + 64275778, + 88936923 + ], + [ + 42984915, + 88011423 + ], + [ + 61068279, + 94786007 + ], + [ + 32983665, + 16340610 + ], + [ + 99076390, + 9835526 + ], + [ + 65589811, + 96783054 + ], + [ + 77843859, + 79798981 + ], + [ + 9199820, + 93916175 + ], + [ + 52241908, + 84355047 + ], + [ + 12497684, + 18212276 + ], + [ + 80927237, + 38075687 + ], + [ + 45465832, + 79665317 + ], + [ + 80860805, + 18815466 + ], + [ + 24506668, + 85622236 + ], + [ + 68136701, + 9514657 + ], + [ + 15196892, + 53899353 + ], + [ + 10489314, + 75833209 + ], + [ + 21721126, + 13418363 + ], + [ + 6487747, + 32071853 + ], + [ + 60623835, + 98642049 + ], + [ + 95552952, + 49870169 + ], + [ + 92554026, + 56706788 + ], + [ + 63437164, + 90959494 + ], + [ + 54648312, + 86376168 + ], + [ + 12855253, + 43577025 + ], + [ + 53586236, + 46388218 + ], + [ + 18923842, + 43639113 + ], + [ + 92483843, + 17171665 + ], + [ + 1493063, + 54030960 + ], + [ + 67773738, + 94300844 + ], + [ + 61200801, + 93742117 + ], + [ + 34835702, + 70836036 + ], + [ + 28918695, + 87859938 + ], + [ + 939242, + 8429202 + ], + [ + 44471172, + 66851410 + ], + [ + 68044384, + 63934684 + ], + [ + 36299962, + 45326512 + ], + [ + 31473560, + 25794849 + ], + [ + 76895152, + 44925523 + ], + [ + 87320848, + 21498680 + ], + [ + 68777712, + 55185939 + ], + [ + 36905603, + 3204921 + ], + [ + 20923050, + 19974326 + ], + [ + 7896590, + 8534947 + ], + [ + 49140539, + 26744061 + ], + [ + 67545606, + 15723699 + ], + [ + 76173716, + 48071104 + ], + [ + 71107525, + 73298052 + ], + [ + 10752979, + 12001211 + ], + [ + 64062366, + 98906014 + ], + [ + 95217739, + 96043348 + ], + [ + 12840190, + 89726623 + ], + [ + 92108712, + 79841955 + ], + [ + 4239159, + 74946691 + ], + [ + 214010, + 51519281 + ], + [ + 96451512, + 95111448 + ], + [ + 30428525, + 61267278 + ], + [ + 32274452, + 28735160 + ], + [ + 61330679, + 19517686 + ], + [ + 33442152, + 90970750 + ], + [ + 52823663, + 78574530 + ], + [ + 2421398, + 1202516 + ], + [ + 79864988, + 88546481 + ], + [ + 69417311, + 31437630 + ], + [ + 41138717, + 91697975 + ], + [ + 94996987, + 22871597 + ], + [ + 60435683, + 93017005 + ], + [ + 91659747, + 46361141 + ], + [ + 93795991, + 95118785 + ], + [ + 5874725, + 74960324 + ], + [ + 96793434, + 94623928 + ], + [ + 72523581, + 83104185 + ], + [ + 39823951, + 2455341 + ], + [ + 60483691, + 19766832 + ], + [ + 78694822, + 67125537 + ], + [ + 83539442, + 44264480 + ], + [ + 15080574, + 27649750 + ], + [ + 75887100, + 55039044 + ], + [ + 96813896, + 98705959 + ], + [ + 28594014, + 11607381 + ], + [ + 6738705, + 7842101 + ], + [ + 34964614, + 97820949 + ], + [ + 7788461, + 35696032 + ], + [ + 44152272, + 22848100 + ], + [ + 82640127, + 72593755 + ], + [ + 72761792, + 58352316 + ], + [ + 14922221, + 52635375 + ], + [ + 23536474, + 34244015 + ], + [ + 2342900, + 23316571 + ], + [ + 53057245, + 40421908 + ], + [ + 14267413, + 27317071 + ], + [ + 89664361, + 69222738 + ], + [ + 83361659, + 67410328 + ], + [ + 16905856, + 5948387 + ], + [ + 16460699, + 43637914 + ], + [ + 38935849, + 26914007 + ], + [ + 23561605, + 51222953 + ], + [ + 45963959, + 46309263 + ], + [ + 84561394, + 58432141 + ], + [ + 15888921, + 3076461 + ], + [ + 55042128, + 24487799 + ], + [ + 97446660, + 21269642 + ], + [ + 12305563, + 80981315 + ], + [ + 85772368, + 32601336 + ], + [ + 54725768, + 29530319 + ], + [ + 37595109, + 76912795 + ], + [ + 96345836, + 66495830 + ], + [ + 44263523, + 39562028 + ], + [ + 54275490, + 66764916 + ], + [ + 28093764, + 96280267 + ], + [ + 82212338, + 94878275 + ], + [ + 78609289, + 59157395 + ], + [ + 79237367, + 67111510 + ], + [ + 79443215, + 5035590 + ], + [ + 90214471, + 68054888 + ], + [ + 90311690, + 96432942 + ], + [ + 76059903, + 79610079 + ], + [ + 44190840, + 11432316 + ], + [ + 16605425, + 21647962 + ], + [ + 49705939, + 77495095 + ], + [ + 36294411, + 19544862 + ], + [ + 60961900, + 72604650 + ], + [ + 34967767, + 172543 + ], + [ + 96315592, + 86344028 + ], + [ + 94221264, + 12239154 + ], + [ + 46381081, + 70263620 + ], + [ + 2823060, + 74493782 + ], + [ + 67570541, + 14580590 + ], + [ + 93988511, + 38456175 + ], + [ + 32352017, + 37512149 + ], + [ + 80815596, + 55208353 + ], + [ + 71148781, + 63798392 + ], + [ + 13269103, + 49357042 + ], + [ + 8892361, + 34557998 + ], + [ + 8745784, + 63370095 + ], + [ + 44232017, + 18333611 + ], + [ + 16927627, + 52403473 + ], + [ + 59335491, + 12918868 + ], + [ + 5320915, + 79736626 + ], + [ + 66700558, + 64539305 + ], + [ + 53418003, + 33966956 + ], + [ + 25655408, + 93450742 + ], + [ + 47242872, + 82736565 + ], + [ + 64260866, + 17665761 + ], + [ + 43581753, + 11816939 + ], + [ + 79149829, + 86419372 + ], + [ + 19373053, + 89359319 + ], + [ + 16855112, + 17109676 + ], + [ + 10099662, + 45165084 + ], + [ + 12322079, + 78330024 + ], + [ + 15942653, + 7990657 + ], + [ + 99872617, + 42463573 + ], + [ + 56831749, + 66355460 + ], + [ + 20055180, + 22723392 + ], + [ + 75563182, + 36762177 + ], + [ + 22393929, + 30014186 + ], + [ + 10750215, + 1042583 + ], + [ + 35368823, + 25977655 + ], + [ + 38883380, + 48181247 + ], + [ + 55436578, + 723521 + ], + [ + 89065763, + 9617892 + ], + [ + 97014660, + 52972633 + ], + [ + 49108053, + 64346007 + ], + [ + 60636349, + 35303380 + ], + [ + 62500895, + 53223713 + ], + [ + 43000317, + 6691329 + ], + [ + 54859559, + 24673148 + ], + [ + 90858686, + 74771055 + ], + [ + 74902070, + 10061382 + ], + [ + 59241027, + 22968978 + ], + [ + 16018424, + 91427560 + ], + [ + 63550805, + 91955834 + ], + [ + 85205238, + 50221680 + ], + [ + 26764767, + 58939892 + ], + [ + 57437901, + 63631680 + ], + [ + 74976637, + 68518764 + ], + [ + 4467543, + 75809264 + ], + [ + 79121591, + 86389666 + ], + [ + 42755088, + 62742483 + ], + [ + 88740927, + 21635225 + ], + [ + 14532050, + 86180836 + ], + [ + 52271417, + 75440001 + ], + [ + 75577747, + 92037459 + ], + [ + 92118937, + 49081951 + ], + [ + 96628892, + 21701743 + ], + [ + 80604052, + 30600546 + ], + [ + 88489012, + 91663611 + ], + [ + 22430537, + 21377758 + ], + [ + 69680473, + 44611475 + ], + [ + 35418141, + 24683093 + ], + [ + 99298998, + 81622044 + ], + [ + 77813459, + 15034441 + ], + [ + 89466983, + 2859405 + ], + [ + 74266372, + 17088386 + ], + [ + 40917403, + 71779654 + ], + [ + 316913, + 33422628 + ], + [ + 83941190, + 99421047 + ], + [ + 47197252, + 91217238 + ], + [ + 30341202, + 9057743 + ], + [ + 25070596, + 45078519 + ], + [ + 59446725, + 17896969 + ], + [ + 85282227, + 31136498 + ], + [ + 71005770, + 66806152 + ], + [ + 97364533, + 99982986 + ], + [ + 57271309, + 90399589 + ], + [ + 64543203, + 65458579 + ], + [ + 53250163, + 29236516 + ], + [ + 23721811, + 53921907 + ], + [ + 76418918, + 35089375 + ], + [ + 99930157, + 36563740 + ], + [ + 70524922, + 86531650 + ], + [ + 68839378, + 41978308 + ], + [ + 52824333, + 78728797 + ], + [ + 69721581, + 67259440 + ], + [ + 11544841, + 27963533 + ], + [ + 64828623, + 77536743 + ], + [ + 59564908, + 15766066 + ], + [ + 54416515, + 80059935 + ], + [ + 97421650, + 94336467 + ], + [ + 55289966, + 72144713 + ], + [ + 9196642, + 96668588 + ], + [ + 93358746, + 27290275 + ], + [ + 48554119, + 3126792 + ], + [ + 66565358, + 46156886 + ], + [ + 74260245, + 79480866 + ], + [ + 13558955, + 82344445 + ], + [ + 76488436, + 12682542 + ], + [ + 46607098, + 66724709 + ], + [ + 87714733, + 59288316 + ], + [ + 59055785, + 21274562 + ], + [ + 57810202, + 13771385 + ], + [ + 5667740, + 8502850 + ], + [ + 83173819, + 5814758 + ], + [ + 20444643, + 56345299 + ], + [ + 55557756, + 75054125 + ], + [ + 38266764, + 56256373 + ], + [ + 17653557, + 17880864 + ], + [ + 14178435, + 28495331 + ], + [ + 75575460, + 95081508 + ], + [ + 68160045, + 85895522 + ], + [ + 43371251, + 96990306 + ], + [ + 57354465, + 61721945 + ], + [ + 65700654, + 61888794 + ], + [ + 41563012, + 69778189 + ], + [ + 79552094, + 22965194 + ], + [ + 79361563, + 90160817 + ], + [ + 65447257, + 69057138 + ], + [ + 37647680, + 69541876 + ], + [ + 57218722, + 65190300 + ], + [ + 84485015, + 21555772 + ], + [ + 12281126, + 2660485 + ], + [ + 56013848, + 4066134 + ], + [ + 81250384, + 17917583 + ], + [ + 26569320, + 66676531 + ], + [ + 12215232, + 39366430 + ], + [ + 20853683, + 61171406 + ], + [ + 77121073, + 37131480 + ], + [ + 96853440, + 54381737 + ], + [ + 97260428, + 56623595 + ], + [ + 91257162, + 97478557 + ], + [ + 34029645, + 93483583 + ], + [ + 9307334, + 14095737 + ], + [ + 85892661, + 95090659 + ], + [ + 39439035, + 65965110 + ], + [ + 91139080, + 97757050 + ], + [ + 5548423, + 35689889 + ], + [ + 7174602, + 15249469 + ], + [ + 56454217, + 51964318 + ], + [ + 50546364, + 86968281 + ], + [ + 51376828, + 87611486 + ], + [ + 21403980, + 34844072 + ], + [ + 52297099, + 4121994 + ], + [ + 9132191, + 59003719 + ], + [ + 57783612, + 86223534 + ], + [ + 96521798, + 51174392 + ], + [ + 90915405, + 72760650 + ], + [ + 78456108, + 96128359 + ], + [ + 12994374, + 27433313 + ], + [ + 44810407, + 82822740 + ], + [ + 91289416, + 5726876 + ], + [ + 4272222, + 63936601 + ], + [ + 20725236, + 79582961 + ], + [ + 27381797, + 63350174 + ], + [ + 45763174, + 28048833 + ], + [ + 5407455, + 21149126 + ], + [ + 75402336, + 76334008 + ], + [ + 95304332, + 55935939 + ], + [ + 54270412, + 2298698 + ], + [ + 15367043, + 94416385 + ], + [ + 40573901, + 57653904 + ], + [ + 38039087, + 57543553 + ], + [ + 15054459, + 66782861 + ], + [ + 93373073, + 86988312 + ], + [ + 94634277, + 38041343 + ], + [ + 21894557, + 1528441 + ], + [ + 51925169, + 74971343 + ], + [ + 33595141, + 60787562 + ], + [ + 50069611, + 59381837 + ], + [ + 15310374, + 94917763 + ], + [ + 40337488, + 21377921 + ], + [ + 39991783, + 97118964 + ], + [ + 84059311, + 76007077 + ], + [ + 74511353, + 79699683 + ], + [ + 66858458, + 25962851 + ], + [ + 59207208, + 75186845 + ], + [ + 23037033, + 44017714 + ], + [ + 78097180, + 95891827 + ], + [ + 9685648, + 81104649 + ], + [ + 59964668, + 44343602 + ], + [ + 28411253, + 62774906 + ], + [ + 94626685, + 8795518 + ], + [ + 25131760, + 89911833 + ], + [ + 39841963, + 72277770 + ], + [ + 15262756, + 41167644 + ], + [ + 15077757, + 32996565 + ], + [ + 59554422, + 96392026 + ], + [ + 73303066, + 41284507 + ], + [ + 74765654, + 96762017 + ], + [ + 22794824, + 29749288 + ], + [ + 94534042, + 98216297 + ], + [ + 86679361, + 79425980 + ], + [ + 13437349, + 73748837 + ], + [ + 38305115, + 97552748 + ], + [ + 76206637, + 49875122 + ], + [ + 59065469, + 68314320 + ], + [ + 9118931, + 62371289 + ], + [ + 10580414, + 78363795 + ], + [ + 88214589, + 85302057 + ], + [ + 17712417, + 24883925 + ], + [ + 39957789, + 32972037 + ], + [ + 79279211, + 33378953 + ], + [ + 80036084, + 33011738 + ], + [ + 22524896, + 94601287 + ], + [ + 2271482, + 88481631 + ], + [ + 77202966, + 54377344 + ], + [ + 76976176, + 35375867 + ], + [ + 95942670, + 16665066 + ], + [ + 73303251, + 30870038 + ], + [ + 14892531, + 96999196 + ], + [ + 20540816, + 76807853 + ], + [ + 19432148, + 91775786 + ], + [ + 49784875, + 15048085 + ], + [ + 29071657, + 81780660 + ], + [ + 16414121, + 7180603 + ], + [ + 85521344, + 81964629 + ], + [ + 43193530, + 12236382 + ], + [ + 79535106, + 58884032 + ], + [ + 71977666, + 34624146 + ], + [ + 32950425, + 2459379 + ], + [ + 11902049, + 148835 + ], + [ + 8692903, + 27666964 + ], + [ + 65349465, + 91933952 + ], + [ + 38539210, + 42698144 + ], + [ + 69598959, + 40727908 + ], + [ + 74981996, + 96503392 + ], + [ + 77941557, + 74002879 + ], + [ + 31937127, + 14742978 + ], + [ + 99880580, + 25424248 + ], + [ + 7504947, + 4489474 + ], + [ + 67352158, + 85499275 + ], + [ + 88797930, + 29013839 + ], + [ + 12220343, + 79880078 + ], + [ + 18522472, + 3016902 + ], + [ + 94040269, + 71759629 + ], + [ + 29931020, + 52494546 + ], + [ + 57319407, + 34839497 + ], + [ + 14791353, + 7199638 + ], + [ + 70453153, + 59319492 + ], + [ + 50845472, + 449496 + ], + [ + 8002419, + 90808643 + ], + [ + 58646895, + 75564798 + ], + [ + 41403288, + 8772264 + ], + [ + 71636206, + 65263049 + ], + [ + 45272414, + 80026308 + ], + [ + 62786555, + 3579255 + ], + [ + 78088366, + 19005171 + ], + [ + 80956159, + 27636085 + ], + [ + 45918842, + 66832843 + ], + [ + 50011046, + 22963308 + ], + [ + 53091102, + 34029328 + ], + [ + 48001500, + 35296573 + ], + [ + 1767821, + 90496546 + ], + [ + 4368048, + 87374315 + ], + [ + 79620446, + 69100049 + ], + [ + 76921400, + 93491184 + ], + [ + 36383634, + 16020520 + ], + [ + 49209330, + 74446875 + ], + [ + 29024211, + 19264144 + ], + [ + 13016074, + 62495875 + ], + [ + 55701673, + 11666544 + ], + [ + 53513510, + 54674697 + ], + [ + 23844949, + 75278770 + ], + [ + 2726649, + 9282207 + ], + [ + 41924608, + 71554846 + ], + [ + 72310438, + 12133701 + ], + [ + 60740889, + 28095387 + ], + [ + 57441439, + 81191949 + ], + [ + 87750256, + 80086989 + ], + [ + 1319818, + 51262245 + ], + [ + 49894022, + 41099781 + ], + [ + 10073331, + 19942946 + ], + [ + 25804441, + 9477585 + ], + [ + 54819200, + 24102552 + ], + [ + 66130061, + 40901178 + ], + [ + 65536497, + 61371921 + ], + [ + 32261523, + 21682296 + ], + [ + 16992502, + 84767074 + ], + [ + 92756874, + 64652389 + ], + [ + 64662391, + 81822 + ], + [ + 71735359, + 14725361 + ], + [ + 91068416, + 3807312 + ], + [ + 81902487, + 44404949 + ], + [ + 99457272, + 34453945 + ], + [ + 67267636, + 62039252 + ], + [ + 42759610, + 28910657 + ], + [ + 1465677, + 2496215 + ], + [ + 365546, + 35580326 + ], + [ + 44742700, + 69048648 + ], + [ + 48257462, + 8674570 + ], + [ + 22742323, + 79983221 + ], + [ + 49087365, + 37084952 + ], + [ + 20513598, + 88217236 + ], + [ + 40308783, + 87944509 + ], + [ + 85050566, + 877534 + ], + [ + 5236342, + 2174441 + ], + [ + 38977153, + 61744154 + ], + [ + 66269203, + 69179472 + ], + [ + 22600482, + 95817626 + ], + [ + 84717965, + 71231013 + ], + [ + 66021183, + 91072525 + ], + [ + 33956569, + 24670093 + ], + [ + 36250520, + 78502591 + ], + [ + 1530028, + 35059441 + ], + [ + 75384355, + 80996922 + ], + [ + 3146023, + 57613855 + ], + [ + 78320300, + 54467568 + ], + [ + 33802484, + 83060668 + ], + [ + 25496032, + 99597166 + ], + [ + 7583038, + 42719138 + ], + [ + 90289020, + 10730394 + ], + [ + 40792698, + 62644135 + ], + [ + 28907696, + 36422078 + ], + [ + 31878105, + 47276384 + ], + [ + 61945624, + 39288688 + ], + [ + 80115714, + 89350714 + ], + [ + 97831137, + 64461200 + ], + [ + 23933919, + 85830952 + ], + [ + 44490144, + 8164932 + ], + [ + 22066090, + 92437415 + ], + [ + 4388703, + 66887369 + ], + [ + 12663168, + 25336466 + ], + [ + 75026827, + 2871929 + ], + [ + 85944648, + 1029418 + ], + [ + 90693832, + 28030239 + ], + [ + 23489324, + 4494891 + ], + [ + 90445461, + 15976897 + ], + [ + 12317730, + 14397094 + ], + [ + 67347276, + 79763773 + ], + [ + 38664533, + 51082752 + ], + [ + 10745418, + 94898218 + ], + [ + 82371828, + 97320839 + ], + [ + 8954274, + 47758593 + ], + [ + 80638747, + 96360864 + ], + [ + 70057979, + 15762337 + ], + [ + 21315798, + 25940516 + ], + [ + 97447175, + 43785518 + ], + [ + 82467268, + 53863413 + ], + [ + 12344614, + 7519583 + ], + [ + 52725199, + 36501642 + ], + [ + 59448752, + 93660172 + ], + [ + 93936650, + 80334184 + ], + [ + 24273437, + 96901257 + ], + [ + 39015254, + 96755665 + ], + [ + 9182870, + 67770596 + ], + [ + 88216051, + 71330883 + ], + [ + 36817098, + 78206002 + ], + [ + 50215433, + 85430434 + ], + [ + 62706136, + 64749547 + ], + [ + 53245449, + 89274352 + ], + [ + 84559858, + 14821597 + ], + [ + 53658706, + 82396779 + ], + [ + 27116738, + 59563100 + ], + [ + 37893522, + 52211142 + ], + [ + 60316703, + 90518531 + ], + [ + 13930845, + 45233200 + ], + [ + 85979861, + 1012020 + ], + [ + 87001714, + 74563610 + ], + [ + 10419516, + 3476 + ], + [ + 22831948, + 68889177 + ], + [ + 3735138, + 27013608 + ], + [ + 72786067, + 42856814 + ], + [ + 93416598, + 1779779 + ], + [ + 65610297, + 3907310 + ], + [ + 40302828, + 45058113 + ], + [ + 89387577, + 9955460 + ], + [ + 86562926, + 88581516 + ], + [ + 92539460, + 33509026 + ], + [ + 77866121, + 31151767 + ], + [ + 33133695, + 25753417 + ], + [ + 90806044, + 27285903 + ], + [ + 20460220, + 83774893 + ], + [ + 83712216, + 33308764 + ], + [ + 21072818, + 21112902 + ], + [ + 15922401, + 45142268 + ], + [ + 80561331, + 26088567 + ], + [ + 29135956, + 88762897 + ], + [ + 35309289, + 81493276 + ], + [ + 29602326, + 22789559 + ], + [ + 12348072, + 88732983 + ], + [ + 81925755, + 33030686 + ], + [ + 7306617, + 58476422 + ], + [ + 65310126, + 96015148 + ], + [ + 59695675, + 23896431 + ], + [ + 79871929, + 55265899 + ], + [ + 82937494, + 42905579 + ], + [ + 3350438, + 37933781 + ], + [ + 32872312, + 54686641 + ], + [ + 15724145, + 29292876 + ], + [ + 42024856, + 5901085 + ], + [ + 99088495, + 22328611 + ], + [ + 91552428, + 98655631 + ], + [ + 51040507, + 73004989 + ], + [ + 36689282, + 22237162 + ], + [ + 32606491, + 94188542 + ], + [ + 2836549, + 3936114 + ], + [ + 30354965, + 40738673 + ], + [ + 4515970, + 62396836 + ], + [ + 78831787, + 2271769 + ], + [ + 83930409, + 89431742 + ], + [ + 4021591, + 22549428 + ], + [ + 88588146, + 10191552 + ], + [ + 5423031, + 23699608 + ], + [ + 65286472, + 79797470 + ], + [ + 84295950, + 13779563 + ], + [ + 82422984, + 48340706 + ], + [ + 10402218, + 7640775 + ], + [ + 86785201, + 4885836 + ], + [ + 56116642, + 23324195 + ], + [ + 55423501, + 6401819 + ], + [ + 83834219, + 12481994 + ], + [ + 78063763, + 46257091 + ], + [ + 92145900, + 19870037 + ], + [ + 18193632, + 46467904 + ], + [ + 30879816, + 74285525 + ], + [ + 78880568, + 52023308 + ], + [ + 94002357, + 94622347 + ], + [ + 13083537, + 75686094 + ], + [ + 71279902, + 91084769 + ], + [ + 62578589, + 93214089 + ], + [ + 74785373, + 98735748 + ], + [ + 7367342, + 47106853 + ], + [ + 49884685, + 30585259 + ], + [ + 88053498, + 29434880 + ], + [ + 52934857, + 86331206 + ], + [ + 40422258, + 34819321 + ], + [ + 1689705, + 34385729 + ], + [ + 59896590, + 26600769 + ], + [ + 26709907, + 7335627 + ], + [ + 90169553, + 94684888 + ], + [ + 76216696, + 62384644 + ], + [ + 32014615, + 35690309 + ], + [ + 49067659, + 15881382 + ], + [ + 11555819, + 84406004 + ], + [ + 31930887, + 88396262 + ], + [ + 90675151, + 77898679 + ], + [ + 77603367, + 15960035 + ], + [ + 43489508, + 77846746 + ], + [ + 86041824, + 82726050 + ], + [ + 20477426, + 48514717 + ], + [ + 92918361, + 98657134 + ], + [ + 27185552, + 15575993 + ], + [ + 8364660, + 60139923 + ], + [ + 68557596, + 86881583 + ], + [ + 10049817, + 20048949 + ], + [ + 44565200, + 60476894 + ], + [ + 24022959, + 48438676 + ], + [ + 92442943, + 71726620 + ], + [ + 26535122, + 25156778 + ], + [ + 77076618, + 35296424 + ], + [ + 10543992, + 72511046 + ], + [ + 47491926, + 13268971 + ], + [ + 40309058, + 46487188 + ], + [ + 49857377, + 97055164 + ], + [ + 67639756, + 99131235 + ], + [ + 72546823, + 27103754 + ], + [ + 24971636, + 38764707 + ], + [ + 60559087, + 11746836 + ], + [ + 103975, + 41809399 + ], + [ + 43622412, + 14398318 + ], + [ + 95491331, + 14749437 + ], + [ + 7659216, + 6044998 + ], + [ + 38143892, + 9180569 + ], + [ + 9820473, + 21092645 + ], + [ + 47198544, + 96924361 + ], + [ + 79603809, + 64515531 + ], + [ + 26032529, + 84561194 + ], + [ + 58851749, + 11900084 + ], + [ + 44994886, + 4514264 + ], + [ + 75493105, + 51105644 + ], + [ + 65233461, + 2126501 + ], + [ + 5303755, + 18537733 + ], + [ + 6062910, + 62810824 + ], + [ + 17909848, + 91059393 + ], + [ + 2133693, + 79977434 + ], + [ + 63862665, + 5622140 + ], + [ + 65737929, + 42775804 + ], + [ + 63666384, + 72366462 + ], + [ + 27644629, + 52228835 + ], + [ + 10851472, + 81615464 + ], + [ + 96887107, + 90262958 + ], + [ + 89487980, + 97721408 + ], + [ + 91016028, + 83776327 + ], + [ + 82648551, + 14201148 + ], + [ + 80155972, + 99634260 + ], + [ + 86635541, + 81087699 + ], + [ + 60757320, + 80451247 + ], + [ + 27869020, + 77239890 + ], + [ + 6799206, + 38740824 + ], + [ + 84043233, + 35810890 + ], + [ + 6596802, + 30566043 + ], + [ + 91961634, + 16392123 + ], + [ + 86247514, + 92045810 + ], + [ + 86679917, + 22694743 + ], + [ + 68656814, + 89872674 + ], + [ + 43505660, + 53408905 + ], + [ + 14804229, + 45002511 + ], + [ + 29882727, + 58873924 + ], + [ + 10951399, + 60345864 + ], + [ + 34507014, + 55989586 + ], + [ + 89171307, + 68405474 + ], + [ + 21695432, + 7034341 + ], + [ + 27753726, + 37397738 + ], + [ + 33804147, + 91784443 + ], + [ + 7900382, + 5105443 + ], + [ + 53677478, + 40260605 + ], + [ + 73181803, + 56190848 + ], + [ + 97825077, + 91808978 + ], + [ + 19176995, + 99884857 + ], + [ + 41994782, + 19900012 + ], + [ + 75824408, + 5512576 + ], + [ + 36948878, + 34732558 + ], + [ + 16872337, + 44189783 + ], + [ + 87334751, + 84331010 + ], + [ + 97709411, + 30874046 + ], + [ + 59266456, + 82061372 + ], + [ + 70300087, + 4936359 + ], + [ + 16128447, + 46355170 + ], + [ + 70440863, + 20131560 + ], + [ + 1703652, + 45039834 + ], + [ + 88657147, + 61054735 + ], + [ + 14713481, + 66943764 + ], + [ + 35067598, + 70501571 + ], + [ + 62013680, + 9118154 + ], + [ + 6144330, + 10733819 + ], + [ + 65502213, + 25466788 + ], + [ + 82652549, + 36442835 + ], + [ + 20420003, + 79048093 + ], + [ + 44504610, + 99007673 + ], + [ + 90200092, + 95877894 + ], + [ + 72738713, + 78304098 + ], + [ + 16248896, + 37900781 + ], + [ + 60570385, + 55735075 + ], + [ + 6879839, + 91424972 + ], + [ + 78144133, + 42430807 + ], + [ + 39249051, + 9480829 + ], + [ + 45944875, + 76772367 + ], + [ + 86854809, + 17104066 + ], + [ + 66693781, + 79574557 + ], + [ + 76746789, + 99364734 + ], + [ + 69254592, + 47665142 + ], + [ + 9506799, + 47125309 + ], + [ + 1031327, + 22026855 + ], + [ + 31039914, + 5700593 + ], + [ + 42168013, + 5307632 + ], + [ + 12362684, + 48036763 + ], + [ + 70252238, + 26736053 + ], + [ + 18268506, + 99212842 + ], + [ + 56385156, + 69859360 + ], + [ + 78209121, + 18280624 + ], + [ + 69973421, + 7904646 + ], + [ + 14840589, + 72555606 + ], + [ + 66662514, + 33636165 + ], + [ + 68489753, + 15910389 + ], + [ + 12546558, + 45128020 + ], + [ + 90665462, + 46551800 + ], + [ + 82546389, + 8526000 + ], + [ + 81947149, + 69861764 + ], + [ + 5864834, + 57601791 + ], + [ + 54006864, + 61327215 + ], + [ + 71040180, + 26006221 + ], + [ + 6218536, + 51203601 + ], + [ + 83467643, + 39533646 + ], + [ + 57936632, + 4123866 + ], + [ + 55913372, + 64298504 + ], + [ + 31632525, + 27836754 + ], + [ + 11551536, + 20640613 + ], + [ + 19479080, + 56508674 + ], + [ + 50120329, + 53395319 + ], + [ + 7098495, + 77718911 + ], + [ + 32205836, + 98488393 + ], + [ + 44151262, + 97560661 + ], + [ + 58786569, + 95833923 + ], + [ + 61012706, + 70885564 + ], + [ + 11161376, + 20287379 + ], + [ + 69604771, + 6414178 + ], + [ + 17582396, + 84649633 + ], + [ + 37376330, + 80448353 + ], + [ + 89227635, + 87218522 + ], + [ + 4797119, + 2924229 + ], + [ + 58883057, + 36608249 + ], + [ + 66990649, + 80663741 + ], + [ + 85263461, + 37920573 + ], + [ + 10979677, + 81328685 + ], + [ + 85554016, + 86092784 + ], + [ + 89001614, + 2478568 + ], + [ + 74395884, + 77720228 + ], + [ + 13480886, + 29986476 + ], + [ + 6337575, + 85906460 + ], + [ + 86836638, + 30736670 + ], + [ + 28121476, + 29272687 + ], + [ + 36334856, + 1791995 + ], + [ + 55845779, + 7805312 + ], + [ + 14976772, + 85664100 + ], + [ + 44811266, + 48276360 + ], + [ + 75012276, + 74381437 + ], + [ + 66802122, + 39906498 + ], + [ + 43430092, + 78895052 + ], + [ + 56335933, + 60362556 + ], + [ + 59126765, + 16005187 + ], + [ + 47311700, + 5269714 + ], + [ + 51100896, + 66314686 + ], + [ + 53295017, + 41677378 + ], + [ + 91524116, + 38226305 + ], + [ + 65768125, + 84287777 + ], + [ + 6529566, + 49747224 + ], + [ + 87818037, + 50476818 + ], + [ + 93257658, + 36570604 + ], + [ + 45732754, + 5355826 + ], + [ + 72952495, + 72657101 + ], + [ + 73104170, + 94356410 + ], + [ + 27176650, + 93013755 + ], + [ + 45353518, + 16463290 + ], + [ + 83749703, + 66092249 + ], + [ + 12151427, + 50422104 + ], + [ + 89210537, + 42792006 + ], + [ + 66328600, + 16209182 + ], + [ + 81452140, + 81831030 + ], + [ + 21446836, + 64235055 + ], + [ + 31319459, + 16526699 + ], + [ + 52520025, + 58474281 + ], + [ + 38111984, + 19455768 + ], + [ + 16136253, + 65159639 + ], + [ + 8736419, + 60366155 + ], + [ + 85446297, + 37185122 + ], + [ + 70792524, + 30837612 + ], + [ + 82525088, + 75008296 + ], + [ + 14413519, + 66427004 + ], + [ + 5785239, + 7678872 + ], + [ + 78636115, + 45598944 + ], + [ + 78455362, + 18949255 + ], + [ + 9552693, + 12737016 + ], + [ + 62907963, + 64839565 + ], + [ + 50300640, + 44995052 + ], + [ + 12759392, + 49516298 + ], + [ + 66225445, + 38382889 + ], + [ + 74254542, + 97046203 + ], + [ + 522471, + 14715001 + ], + [ + 64529277, + 21577548 + ], + [ + 85314133, + 84276642 + ], + [ + 85525025, + 78546292 + ], + [ + 98965807, + 38111960 + ], + [ + 44836718, + 12604356 + ], + [ + 73762254, + 50258534 + ], + [ + 45555507, + 73397702 + ], + [ + 42926021, + 90321620 + ], + [ + 58265682, + 86322706 + ], + [ + 95313445, + 54038930 + ], + [ + 11169735, + 77449627 + ], + [ + 24912815, + 78393471 + ], + [ + 96356440, + 97437121 + ], + [ + 1861480, + 85474043 + ], + [ + 18141617, + 51705582 + ], + [ + 66033775, + 17124722 + ], + [ + 44352697, + 21035493 + ], + [ + 78185235, + 42868407 + ], + [ + 85090939, + 60870312 + ], + [ + 6168182, + 73829610 + ], + [ + 25153385, + 18888357 + ], + [ + 35259058, + 13671243 + ], + [ + 47870096, + 87854025 + ], + [ + 29345191, + 68077432 + ], + [ + 3692769, + 97789831 + ], + [ + 75849310, + 27892252 + ], + [ + 90986456, + 23133489 + ], + [ + 51755618, + 64106458 + ], + [ + 72727887, + 79167925 + ], + [ + 34540663, + 76090537 + ], + [ + 79593676, + 83869848 + ], + [ + 51441478, + 65331845 + ], + [ + 42409255, + 33103288 + ], + [ + 6213341, + 56992599 + ], + [ + 21181700, + 26188481 + ], + [ + 69137292, + 1196424 + ], + [ + 39688328, + 865457 + ], + [ + 52795932, + 4212608 + ], + [ + 68035803, + 48983472 + ], + [ + 27941629, + 47187400 + ], + [ + 39749972, + 89443857 + ], + [ + 23024532, + 82979359 + ], + [ + 2189850, + 53058634 + ], + [ + 42384195, + 60840885 + ], + [ + 12493700, + 75902895 + ], + [ + 2463706, + 66466387 + ], + [ + 59837134, + 38418624 + ], + [ + 37436675, + 67463670 + ], + [ + 9033320, + 37342629 + ], + [ + 48735050, + 56608813 + ], + [ + 28757810, + 68363050 + ], + [ + 81050639, + 61456701 + ], + [ + 96457246, + 94448485 + ], + [ + 60524416, + 18081250 + ], + [ + 58659443, + 70698402 + ], + [ + 86496702, + 91874928 + ], + [ + 57403033, + 51228069 + ], + [ + 72880398, + 39666130 + ], + [ + 65110459, + 69287667 + ], + [ + 91433540, + 95821660 + ], + [ + 83449419, + 73813269 + ], + [ + 79295745, + 62850634 + ], + [ + 75493577, + 87074294 + ], + [ + 83620092, + 32541943 + ], + [ + 96407534, + 89144313 + ], + [ + 29773589, + 1903904 + ], + [ + 973861, + 56140897 + ], + [ + 29624381, + 31722997 + ], + [ + 6027743, + 15050377 + ], + [ + 67014772, + 3836740 + ], + [ + 6642390, + 66343544 + ], + [ + 25182974, + 147013 + ], + [ + 98952285, + 16794745 + ], + [ + 91548589, + 40931020 + ], + [ + 88760052, + 57000427 + ], + [ + 12483157, + 19816504 + ], + [ + 51253657, + 24618899 + ], + [ + 15439566, + 44673418 + ], + [ + 26578046, + 82858203 + ], + [ + 39111415, + 97071412 + ], + [ + 47380859, + 24389028 + ], + [ + 27986531, + 68083453 + ], + [ + 7390662, + 24374454 + ], + [ + 73764102, + 12113631 + ], + [ + 33401139, + 30312373 + ], + [ + 62051202, + 31373494 + ], + [ + 55757185, + 57113560 + ], + [ + 54687486, + 65094918 + ], + [ + 92972610, + 11238515 + ], + [ + 2711491, + 69438492 + ], + [ + 98316012, + 10443002 + ], + [ + 24511362, + 88195759 + ], + [ + 31563219, + 93367558 + ], + [ + 41871589, + 91544184 + ], + [ + 96657923, + 18918921 + ], + [ + 48307476, + 53259825 + ], + [ + 44935243, + 40263301 + ], + [ + 35075461, + 61771570 + ], + [ + 23173331, + 5436217 + ], + [ + 77426685, + 91275473 + ], + [ + 81600277, + 4833624 + ], + [ + 53054210, + 8323516 + ], + [ + 97693035, + 32498234 + ], + [ + 31132506, + 39683015 + ], + [ + 80344827, + 78963188 + ], + [ + 76242617, + 26002154 + ], + [ + 84734150, + 18204377 + ], + [ + 20399583, + 46547118 + ], + [ + 65227493, + 40911478 + ], + [ + 19084897, + 89273314 + ], + [ + 59625509, + 7472993 + ], + [ + 56165924, + 67473348 + ], + [ + 36420535, + 88328616 + ], + [ + 68334555, + 38608858 + ], + [ + 74581025, + 44361585 + ], + [ + 94486892, + 6444021 + ], + [ + 34815068, + 28435478 + ], + [ + 51969449, + 88811630 + ], + [ + 96212990, + 99446410 + ], + [ + 17943613, + 78926439 + ], + [ + 26623417, + 56143029 + ], + [ + 7414188, + 79330169 + ], + [ + 70359319, + 10325595 + ], + [ + 6549633, + 4203071 + ], + [ + 34084859, + 54062388 + ], + [ + 39816068, + 89973970 + ], + [ + 75419777, + 97527443 + ], + [ + 56950386, + 96725673 + ], + [ + 12231903, + 23909886 + ], + [ + 78506940, + 66393007 + ], + [ + 10812210, + 13333575 + ], + [ + 83557427, + 79194714 + ], + [ + 47481196, + 5622487 + ], + [ + 75488780, + 99023624 + ], + [ + 56503164, + 2218049 + ], + [ + 36237199, + 39735715 + ], + [ + 4707935, + 42054837 + ], + [ + 8710359, + 26623204 + ], + [ + 96797615, + 37372253 + ], + [ + 37790082, + 21949907 + ], + [ + 62468148, + 97586289 + ], + [ + 84613643, + 84908017 + ], + [ + 8763236, + 86415929 + ], + [ + 45540784, + 2582425 + ], + [ + 9952794, + 30255511 + ], + [ + 71349893, + 73673947 + ], + [ + 20396141, + 35329277 + ], + [ + 25772979, + 10134042 + ], + [ + 39589995, + 59436207 + ], + [ + 28428970, + 69000235 + ], + [ + 82064088, + 6804045 + ], + [ + 83294997, + 1664468 + ], + [ + 59820794, + 20355754 + ], + [ + 79418498, + 42802527 + ], + [ + 51284699, + 56357224 + ], + [ + 65446332, + 88513395 + ], + [ + 65368248, + 63111179 + ], + [ + 89693105, + 54149391 + ], + [ + 18367300, + 42527635 + ], + [ + 68814850, + 90355759 + ], + [ + 73858118, + 73844599 + ], + [ + 93971474, + 424987 + ], + [ + 56068532, + 27679258 + ], + [ + 45372810, + 2601750 + ], + [ + 95347382, + 88609345 + ], + [ + 93073378, + 19015541 + ], + [ + 31540224, + 69848146 + ], + [ + 40411033, + 4300079 + ], + [ + 83140421, + 59031170 + ], + [ + 99258279, + 22752000 + ], + [ + 91082835, + 70494667 + ], + [ + 1790198, + 96789515 + ], + [ + 14362024, + 13257173 + ], + [ + 35396268, + 94004468 + ], + [ + 52163449, + 63153976 + ], + [ + 56443649, + 85083832 + ], + [ + 77989486, + 89870210 + ], + [ + 17197518, + 76147846 + ], + [ + 26744980, + 3327556 + ], + [ + 5023295, + 19088567 + ], + [ + 20473464, + 72814419 + ], + [ + 52917190, + 57343554 + ], + [ + 89634412, + 35069575 + ], + [ + 93717932, + 57925049 + ], + [ + 85591290, + 30911507 + ], + [ + 7720272, + 29738878 + ], + [ + 23459523, + 74322852 + ], + [ + 92871648, + 29428815 + ], + [ + 79541946, + 24056612 + ], + [ + 86313911, + 96229823 + ], + [ + 64024097, + 47020368 + ], + [ + 64756100, + 86179732 + ], + [ + 33693183, + 40291904 + ], + [ + 90512766, + 64858146 + ], + [ + 15920161, + 14771420 + ], + [ + 97568860, + 69994829 + ], + [ + 3147527, + 20920980 + ], + [ + 2303309, + 66748646 + ], + [ + 31719751, + 59870161 + ], + [ + 55953196, + 42362679 + ], + [ + 57092847, + 35487380 + ], + [ + 95933043, + 43937216 + ], + [ + 75523935, + 78450035 + ], + [ + 4033738, + 19479066 + ], + [ + 33735303, + 56100366 + ], + [ + 44889574, + 55872963 + ], + [ + 2183142, + 1244800 + ], + [ + 59868412, + 78737713 + ], + [ + 66501587, + 71019051 + ], + [ + 46450168, + 96325195 + ], + [ + 7244006, + 44901801 + ], + [ + 8625580, + 22078059 + ], + [ + 4485435, + 18526779 + ], + [ + 86933775, + 38772795 + ], + [ + 83000228, + 35526805 + ], + [ + 73664678, + 50673180 + ], + [ + 66187294, + 80681436 + ], + [ + 28149327, + 39190505 + ], + [ + 83804781, + 83726026 + ], + [ + 56009422, + 24988501 + ], + [ + 11278942, + 38677041 + ], + [ + 65391593, + 76516573 + ], + [ + 21579706, + 8868797 + ], + [ + 22935437, + 81536541 + ], + [ + 10841320, + 13476105 + ], + [ + 53235735, + 36394182 + ], + [ + 35371727, + 90013761 + ], + [ + 2946772, + 29561073 + ], + [ + 45756240, + 23477618 + ], + [ + 45331376, + 62968304 + ], + [ + 5590468, + 13304655 + ], + [ + 50475005, + 98658882 + ], + [ + 29561652, + 96558590 + ], + [ + 7694405, + 28733909 + ], + [ + 41899711, + 88648471 + ], + [ + 14572752, + 90995850 + ], + [ + 61281118, + 97323119 + ], + [ + 30352255, + 68048675 + ], + [ + 54346948, + 62788297 + ], + [ + 67775129, + 16260371 + ], + [ + 63597695, + 51538251 + ], + [ + 47055039, + 90339999 + ], + [ + 1843044, + 16487215 + ], + [ + 26911377, + 13437411 + ], + [ + 31390149, + 74499486 + ], + [ + 73151968, + 78507978 + ], + [ + 76646492, + 1783789 + ], + [ + 11007290, + 25124959 + ], + [ + 38439581, + 7201326 + ], + [ + 35023252, + 84646851 + ], + [ + 42752138, + 79672268 + ], + [ + 71098512, + 63103122 + ], + [ + 83905618, + 6488838 + ], + [ + 47469456, + 83885908 + ], + [ + 49339158, + 58293701 + ], + [ + 70332404, + 43232975 + ], + [ + 42307829, + 16696195 + ], + [ + 86428154, + 42905015 + ], + [ + 20292542, + 25719132 + ], + [ + 68987093, + 69852356 + ], + [ + 69180718, + 15354653 + ], + [ + 75808305, + 40209824 + ], + [ + 5409040, + 16667131 + ], + [ + 57069418, + 14919965 + ], + [ + 67485911, + 43809971 + ], + [ + 4267193, + 63720232 + ], + [ + 78824921, + 15393830 + ], + [ + 96998062, + 63622446 + ], + [ + 96063519, + 69405243 + ], + [ + 44417234, + 44276798 + ], + [ + 31989342, + 22459315 + ], + [ + 71405727, + 60932466 + ], + [ + 8348169, + 2015429 + ], + [ + 15847522, + 47776474 + ], + [ + 69525928, + 8014074 + ], + [ + 60603987, + 88856818 + ], + [ + 96791396, + 6521283 + ], + [ + 18547846, + 43312334 + ], + [ + 19563368, + 78773008 + ], + [ + 98256837, + 48386357 + ], + [ + 16852244, + 35728265 + ], + [ + 42548904, + 51501843 + ], + [ + 23513925, + 96461039 + ], + [ + 15456328, + 42448422 + ], + [ + 5207805, + 14238743 + ], + [ + 42178139, + 95189811 + ], + [ + 28949579, + 2729780 + ], + [ + 83120111, + 14047454 + ], + [ + 82238880, + 34567035 + ], + [ + 40691149, + 8875317 + ], + [ + 31796415, + 84352727 + ], + [ + 46252241, + 78066964 + ], + [ + 81839819, + 57119313 + ], + [ + 8378060, + 43952852 + ], + [ + 59576091, + 94986693 + ], + [ + 89262051, + 11621632 + ], + [ + 49838249, + 96725450 + ], + [ + 90566913, + 73973115 + ], + [ + 50702747, + 2351568 + ], + [ + 33828994, + 75123387 + ], + [ + 70196148, + 30929848 + ], + [ + 66245753, + 68264563 + ], + [ + 54090588, + 84211516 + ], + [ + 62166808, + 44821160 + ], + [ + 9186796, + 59750425 + ], + [ + 59471924, + 6094075 + ], + [ + 81963819, + 11513929 + ], + [ + 745530, + 50832546 + ], + [ + 99982295, + 23616851 + ], + [ + 70314613, + 94769825 + ], + [ + 15720718, + 17221419 + ], + [ + 88889366, + 79520628 + ], + [ + 4423656, + 42949466 + ], + [ + 2245907, + 32067284 + ], + [ + 26867511, + 2785887 + ], + [ + 66732886, + 10091424 + ], + [ + 89512583, + 94536872 + ], + [ + 77576243, + 97248776 + ], + [ + 59986717, + 15716575 + ], + [ + 22933038, + 91228192 + ], + [ + 22103625, + 25742115 + ], + [ + 6414912, + 15737807 + ], + [ + 96364311, + 99858557 + ], + [ + 38701964, + 3787938 + ], + [ + 32908335, + 34539881 + ], + [ + 41661725, + 81094481 + ], + [ + 3182958, + 12723353 + ], + [ + 9412064, + 86007899 + ], + [ + 4569014, + 50871914 + ], + [ + 89285339, + 45743639 + ], + [ + 47928260, + 67529483 + ], + [ + 54741267, + 31867438 + ], + [ + 81746613, + 97689296 + ], + [ + 70970547, + 5627600 + ], + [ + 95738110, + 16584080 + ], + [ + 63679500, + 21239086 + ], + [ + 19627590, + 6947489 + ], + [ + 86989655, + 44737592 + ], + [ + 6781068, + 10543055 + ], + [ + 57657176, + 61730557 + ], + [ + 69632486, + 11417317 + ], + [ + 1001012, + 78865254 + ], + [ + 71605091, + 81200643 + ], + [ + 17693794, + 17972471 + ], + [ + 13326516, + 18750518 + ], + [ + 40080920, + 49070761 + ], + [ + 99460113, + 74493806 + ], + [ + 79101328, + 40105018 + ], + [ + 57576967, + 33064512 + ], + [ + 65080031, + 70667773 + ], + [ + 48170438, + 36917396 + ], + [ + 26600965, + 62745713 + ], + [ + 72881909, + 50172430 + ], + [ + 2195831, + 59021423 + ], + [ + 18872293, + 75452017 + ], + [ + 8115800, + 73146649 + ], + [ + 24052352, + 25187867 + ], + [ + 8583236, + 63675383 + ], + [ + 38816904, + 54708867 + ], + [ + 52526797, + 88496306 + ], + [ + 30307108, + 66220469 + ], + [ + 28000967, + 74688104 + ], + [ + 52301256, + 44744258 + ], + [ + 99583060, + 28732759 + ], + [ + 19547622, + 92724059 + ], + [ + 69565778, + 70197142 + ], + [ + 22867084, + 43096571 + ], + [ + 92329547, + 33544193 + ], + [ + 66042264, + 8989476 + ], + [ + 14697198, + 71709470 + ], + [ + 11389800, + 95361126 + ], + [ + 539449, + 15649600 + ], + [ + 52822750, + 9217251 + ], + [ + 77176464, + 46847730 + ], + [ + 98675040, + 46875978 + ], + [ + 47778799, + 84582820 + ], + [ + 80554290, + 6336156 + ], + [ + 24878670, + 49571547 + ], + [ + 70701956, + 57808682 + ], + [ + 91308088, + 54439558 + ], + [ + 12810599, + 9760212 + ], + [ + 31977948, + 67616318 + ], + [ + 26326482, + 56910241 + ], + [ + 70413119, + 69909803 + ], + [ + 15120960, + 43971866 + ], + [ + 83522045, + 84749809 + ], + [ + 88593950, + 40163313 + ], + [ + 66060746, + 1713749 + ], + [ + 36061091, + 99619272 + ], + [ + 21538888, + 48820119 + ], + [ + 7013600, + 69039735 + ], + [ + 46951580, + 28444377 + ], + [ + 96245125, + 7769114 + ], + [ + 22315742, + 47076117 + ], + [ + 15227929, + 82555073 + ], + [ + 190195, + 83272819 + ], + [ + 69012057, + 29454698 + ], + [ + 38502339, + 47005030 + ], + [ + 16904425, + 65538024 + ], + [ + 61907783, + 40269794 + ], + [ + 58178178, + 56539238 + ], + [ + 77539069, + 6870200 + ], + [ + 65873202, + 72660314 + ], + [ + 90994628, + 12496459 + ], + [ + 91036078, + 15735882 + ], + [ + 87453546, + 33296551 + ], + [ + 46303282, + 59605239 + ], + [ + 13854852, + 60841128 + ], + [ + 17299900, + 28186999 + ], + [ + 75179441, + 96606815 + ], + [ + 70007513, + 3169769 + ], + [ + 89274355, + 29972934 + ], + [ + 26655487, + 9394006 + ], + [ + 75315439, + 52158935 + ], + [ + 45416102, + 83584227 + ], + [ + 78016589, + 90653587 + ], + [ + 18033589, + 18759077 + ], + [ + 60783029, + 14378736 + ], + [ + 83675493, + 25373457 + ], + [ + 19321901, + 17513081 + ], + [ + 46895982, + 27940751 + ], + [ + 24675951, + 97494505 + ], + [ + 17181496, + 98303233 + ], + [ + 18961670, + 96100300 + ], + [ + 51029082, + 76788048 + ], + [ + 72211114, + 98926084 + ], + [ + 15741120, + 8384168 + ], + [ + 24700691, + 11358031 + ], + [ + 49244578, + 31376409 + ], + [ + 33660072, + 29447252 + ], + [ + 66515069, + 62821903 + ], + [ + 28956508, + 52837961 + ], + [ + 65457086, + 46463746 + ], + [ + 83538976, + 49573031 + ], + [ + 72048227, + 83019670 + ], + [ + 82776036, + 72141459 + ], + [ + 53475606, + 5882813 + ], + [ + 23556050, + 75907554 + ], + [ + 96785267, + 86539101 + ], + [ + 30732956, + 14551899 + ], + [ + 27483099, + 34592671 + ], + [ + 88326945, + 63044553 + ], + [ + 31686455, + 17615476 + ], + [ + 42182620, + 55696232 + ], + [ + 1815131, + 79296112 + ], + [ + 95459274, + 89898668 + ], + [ + 79144256, + 15208984 + ], + [ + 75305945, + 22159251 + ], + [ + 72091944, + 84454904 + ], + [ + 37303458, + 17446171 + ], + [ + 86185304, + 80956713 + ], + [ + 6913671, + 64047374 + ], + [ + 80216109, + 55092323 + ], + [ + 6859277, + 70453153 + ], + [ + 92039919, + 98114360 + ], + [ + 75221179, + 17267154 + ], + [ + 56674889, + 53885566 + ], + [ + 75815089, + 53008351 + ], + [ + 62420221, + 88543832 + ], + [ + 64486676, + 72012049 + ], + [ + 6607965, + 99772567 + ], + [ + 91373903, + 11233886 + ], + [ + 54420090, + 20197759 + ], + [ + 23142698, + 4726363 + ], + [ + 83805267, + 73673219 + ], + [ + 96958965, + 40866081 + ], + [ + 90754832, + 41573809 + ], + [ + 74697825, + 32956057 + ], + [ + 56104356, + 64643476 + ], + [ + 9266219, + 13546735 + ], + [ + 43279714, + 55050113 + ], + [ + 85691827, + 35066040 + ], + [ + 46453818, + 88584100 + ], + [ + 15248386, + 57718061 + ], + [ + 62328491, + 43438298 + ], + [ + 19124201, + 8763350 + ], + [ + 37708561, + 2033102 + ], + [ + 72114366, + 80327281 + ], + [ + 62562096, + 94540582 + ], + [ + 91702428, + 78082773 + ], + [ + 18739560, + 93360954 + ], + [ + 66037606, + 39024175 + ], + [ + 2718139, + 37859802 + ], + [ + 99016906, + 58590857 + ], + [ + 38862131, + 1938128 + ], + [ + 86086591, + 22867975 + ], + [ + 73685276, + 17634219 + ], + [ + 69300116, + 57745181 + ], + [ + 35771819, + 71790045 + ], + [ + 95270088, + 36055039 + ], + [ + 57499376, + 84580348 + ], + [ + 19014942, + 78084951 + ], + [ + 49399025, + 23219944 + ], + [ + 61531897, + 64080844 + ], + [ + 1607867, + 760759 + ], + [ + 86047225, + 60378027 + ], + [ + 33271487, + 61256730 + ], + [ + 26430475, + 266329 + ], + [ + 73830649, + 93695366 + ], + [ + 221367, + 43206790 + ], + [ + 43168534, + 54408037 + ], + [ + 95077621, + 98845836 + ], + [ + 22247926, + 26640341 + ], + [ + 67244635, + 69857006 + ], + [ + 42579475, + 75853829 + ], + [ + 29068447, + 2284556 + ], + [ + 10419980, + 81364998 + ], + [ + 76920328, + 80794645 + ], + [ + 78162462, + 90732546 + ], + [ + 372369, + 90003450 + ], + [ + 58670226, + 82847342 + ], + [ + 46460340, + 58816268 + ], + [ + 77904523, + 68565140 + ], + [ + 15806046, + 33344638 + ], + [ + 91181861, + 77095027 + ], + [ + 56310172, + 79127338 + ], + [ + 27030312, + 97070118 + ], + [ + 70374866, + 22376287 + ], + [ + 74108271, + 74969526 + ], + [ + 28902967, + 20205999 + ], + [ + 73290824, + 16943722 + ], + [ + 12203724, + 20586048 + ], + [ + 48754821, + 32434785 + ], + [ + 56527390, + 93725830 + ], + [ + 45777076, + 24376730 + ], + [ + 3411106, + 23777385 + ], + [ + 14473472, + 29499525 + ], + [ + 86707582, + 55139535 + ], + [ + 79022644, + 42822804 + ], + [ + 76591912, + 10933693 + ], + [ + 50302215, + 29647707 + ], + [ + 74350764, + 54178506 + ], + [ + 24942852, + 40357727 + ], + [ + 42285947, + 10562498 + ], + [ + 13753298, + 50525609 + ], + [ + 78330428, + 3468890 + ], + [ + 16680926, + 21143253 + ], + [ + 64807226, + 72240604 + ], + [ + 14031457, + 63758783 + ], + [ + 91567720, + 73056677 + ], + [ + 68824843, + 45926097 + ], + [ + 83344393, + 71615258 + ], + [ + 54203646, + 30788839 + ], + [ + 86381438, + 11979199 + ], + [ + 84175215, + 95538089 + ], + [ + 20006189, + 27602306 + ], + [ + 69999286, + 48769088 + ], + [ + 32569823, + 33839122 + ], + [ + 79691693, + 95508913 + ], + [ + 13803553, + 20594751 + ], + [ + 10036795, + 96273499 + ], + [ + 54263395, + 90184103 + ], + [ + 85307544, + 19228630 + ], + [ + 95717286, + 97776655 + ], + [ + 42520427, + 79686936 + ], + [ + 59864314, + 53140849 + ], + [ + 76283370, + 30653764 + ], + [ + 1618509, + 44263367 + ], + [ + 84137144, + 68481620 + ], + [ + 50392889, + 50354439 + ], + [ + 17358013, + 6534957 + ], + [ + 28415215, + 71173247 + ], + [ + 41039029, + 47402104 + ], + [ + 97899285, + 97681976 + ], + [ + 76088370, + 94561185 + ], + [ + 32879069, + 23123148 + ], + [ + 44990037, + 86231843 + ], + [ + 27356685, + 35601749 + ], + [ + 74853635, + 32124297 + ], + [ + 1154501, + 40815183 + ], + [ + 78802787, + 17986176 + ], + [ + 20544291, + 67975503 + ], + [ + 80982939, + 77281869 + ], + [ + 33691766, + 84326588 + ], + [ + 36289161, + 94864093 + ], + [ + 50415528, + 32562957 + ], + [ + 31609668, + 1691260 + ], + [ + 98800533, + 37444905 + ], + [ + 64894, + 79394847 + ], + [ + 53525427, + 57738476 + ], + [ + 2436787, + 48048326 + ], + [ + 70549205, + 32139482 + ], + [ + 91641811, + 87083491 + ], + [ + 96121799, + 19203463 + ], + [ + 85247032, + 73158218 + ], + [ + 29115456, + 17667437 + ], + [ + 32364842, + 71161208 + ], + [ + 33874226, + 90224799 + ], + [ + 26728796, + 63120026 + ], + [ + 70586680, + 41971173 + ], + [ + 19275934, + 88526748 + ], + [ + 31847638, + 79802038 + ], + [ + 12301733, + 4655260 + ], + [ + 23471821, + 46174161 + ], + [ + 99239914, + 84751663 + ], + [ + 23771923, + 32079002 + ], + [ + 74082570, + 62521061 + ], + [ + 88917077, + 32082086 + ], + [ + 34734347, + 81387284 + ], + [ + 11889878, + 21059160 + ], + [ + 64555177, + 56878809 + ], + [ + 44962604, + 38522963 + ], + [ + 26710625, + 5205947 + ], + [ + 6369866, + 63678401 + ], + [ + 84768350, + 11430275 + ], + [ + 28299317, + 77536890 + ], + [ + 9599479, + 37367929 + ], + [ + 64566967, + 66501773 + ], + [ + 10240979, + 73967272 + ], + [ + 87827787, + 55642909 + ], + [ + 73869903, + 75731433 + ], + [ + 13512577, + 95590158 + ], + [ + 29935599, + 54135491 + ], + [ + 56223768, + 32981638 + ], + [ + 1734710, + 10521325 + ], + [ + 86271338, + 5724136 + ], + [ + 11433338, + 76919390 + ], + [ + 26565538, + 97312542 + ], + [ + 80014979, + 67092322 + ], + [ + 72623377, + 16222074 + ], + [ + 26799276, + 36976518 + ], + [ + 83373802, + 57953522 + ], + [ + 63685092, + 19237583 + ], + [ + 89518012, + 33005425 + ], + [ + 19121240, + 32864332 + ], + [ + 39440747, + 65309216 + ], + [ + 84482925, + 44634380 + ], + [ + 51873411, + 43162347 + ], + [ + 34771951, + 36820631 + ], + [ + 41076778, + 35807815 + ], + [ + 69631349, + 14265434 + ], + [ + 97566469, + 93394376 + ], + [ + 7805013, + 34874924 + ], + [ + 61430179, + 52519061 + ], + [ + 87709843, + 54415492 + ], + [ + 80098372, + 54528648 + ], + [ + 11976184, + 67369047 + ], + [ + 73632465, + 78104133 + ], + [ + 27052614, + 93467564 + ], + [ + 64153629, + 2492829 + ], + [ + 6466925, + 91210369 + ], + [ + 55478465, + 6710009 + ], + [ + 45769796, + 72902579 + ], + [ + 83664591, + 54322927 + ], + [ + 10094052, + 46617643 + ], + [ + 81514417, + 99536869 + ], + [ + 89429768, + 33930636 + ], + [ + 84868589, + 96099150 + ], + [ + 31878748, + 71783841 + ], + [ + 66052280, + 52762339 + ], + [ + 9011048, + 36902641 + ], + [ + 53922452, + 44406725 + ], + [ + 56956122, + 82864823 + ], + [ + 65040996, + 6056523 + ], + [ + 60644297, + 26845096 + ], + [ + 71151242, + 54307639 + ], + [ + 89907010, + 96555058 + ], + [ + 47114284, + 92176548 + ], + [ + 85782750, + 95404520 + ], + [ + 26771652, + 51206793 + ], + [ + 61835436, + 59168042 + ], + [ + 81479727, + 38052324 + ], + [ + 59620824, + 57391846 + ], + [ + 44250962, + 14233760 + ], + [ + 45962154, + 72231985 + ], + [ + 98292136, + 81092493 + ], + [ + 40379129, + 2789448 + ], + [ + 97607141, + 51504284 + ], + [ + 98264400, + 16089847 + ], + [ + 16666482, + 8989942 + ], + [ + 92766272, + 28216301 + ], + [ + 39636400, + 61890436 + ], + [ + 65096870, + 68199765 + ], + [ + 66243707, + 17010732 + ], + [ + 83667422, + 63767194 + ], + [ + 10383296, + 7172242 + ], + [ + 81384235, + 70799986 + ], + [ + 59640057, + 73838325 + ], + [ + 87732023, + 90006362 + ], + [ + 81690157, + 16632720 + ], + [ + 52808462, + 45112204 + ], + [ + 71664059, + 70442070 + ], + [ + 14975930, + 29913626 + ], + [ + 83259441, + 83871615 + ], + [ + 66366643, + 61688362 + ], + [ + 34381142, + 24463892 + ], + [ + 16728366, + 62013730 + ], + [ + 38084329, + 58095990 + ], + [ + 48326381, + 28682339 + ], + [ + 85910561, + 56888136 + ], + [ + 63900287, + 99604901 + ], + [ + 58994726, + 62003860 + ], + [ + 69999362, + 2233982 + ], + [ + 96114241, + 9823923 + ], + [ + 85539958, + 20477881 + ], + [ + 45665258, + 29784113 + ], + [ + 44763731, + 20834888 + ], + [ + 32667563, + 16711536 + ], + [ + 40111357, + 94161886 + ], + [ + 79717502, + 91914162 + ], + [ + 31445584, + 65814226 + ], + [ + 23458744, + 77971352 + ], + [ + 62591983, + 31807956 + ], + [ + 22458069, + 67770809 + ], + [ + 25742566, + 72465317 + ], + [ + 64860698, + 20753732 + ], + [ + 94070360, + 92091024 + ], + [ + 54016347, + 71932746 + ], + [ + 88501772, + 62013301 + ], + [ + 12389104, + 34778235 + ], + [ + 49580519, + 7254541 + ], + [ + 1569738, + 22726543 + ], + [ + 63420704, + 31797309 + ], + [ + 56834466, + 16907523 + ], + [ + 10298608, + 90683692 + ], + [ + 85759715, + 55890456 + ], + [ + 47779462, + 36652378 + ], + [ + 49299021, + 69857165 + ], + [ + 70058993, + 35410214 + ], + [ + 59223562, + 83683977 + ], + [ + 87699871, + 70146188 + ], + [ + 5961692, + 3773784 + ], + [ + 89560578, + 15107859 + ], + [ + 51936271, + 82777044 + ], + [ + 61491879, + 32605816 + ], + [ + 70483509, + 26434846 + ], + [ + 84730821, + 24679221 + ], + [ + 39243921, + 2721290 + ], + [ + 73467243, + 48577900 + ], + [ + 15562326, + 27810280 + ], + [ + 96071656, + 2907294 + ], + [ + 37636546, + 12935607 + ], + [ + 34861743, + 34256972 + ], + [ + 40920896, + 12830216 + ], + [ + 49684233, + 57550425 + ], + [ + 52870611, + 24188666 + ], + [ + 15992784, + 40107021 + ], + [ + 7581978, + 74879059 + ], + [ + 42181668, + 90344485 + ], + [ + 86833818, + 9477179 + ], + [ + 54495566, + 86213483 + ], + [ + 1896919, + 27735903 + ], + [ + 76213501, + 60940545 + ], + [ + 97612532, + 10417872 + ], + [ + 27576333, + 29887715 + ], + [ + 730389, + 28915270 + ], + [ + 87095024, + 51866405 + ], + [ + 41666270, + 93402551 + ], + [ + 8573649, + 18825915 + ], + [ + 5954416, + 43481254 + ], + [ + 17349990, + 3540609 + ], + [ + 76890650, + 69502099 + ], + [ + 20244282, + 58020485 + ], + [ + 58000236, + 54776542 + ], + [ + 13480037, + 435786 + ], + [ + 90711776, + 27942144 + ], + [ + 83283046, + 13723135 + ], + [ + 67367348, + 41941523 + ], + [ + 31842325, + 62004924 + ], + [ + 31080203, + 32866124 + ], + [ + 53078320, + 96336422 + ], + [ + 72827507, + 79714108 + ], + [ + 7691019, + 5466533 + ], + [ + 42856038, + 56791611 + ], + [ + 16853280, + 82784183 + ], + [ + 74136681, + 35302945 + ], + [ + 26549507, + 44804733 + ], + [ + 33077833, + 59058406 + ], + [ + 63332500, + 20323157 + ], + [ + 81400730, + 67173987 + ], + [ + 44162665, + 54931710 + ], + [ + 60273440, + 27331510 + ], + [ + 91496064, + 6795387 + ], + [ + 74807607, + 60805741 + ], + [ + 95544841, + 28079916 + ], + [ + 19381970, + 78296431 + ], + [ + 28370243, + 38961089 + ], + [ + 44557809, + 55463327 + ], + [ + 99502028, + 60013884 + ], + [ + 34943651, + 16379642 + ], + [ + 5843648, + 68209307 + ], + [ + 15364404, + 53278643 + ], + [ + 11788533, + 11173862 + ], + [ + 72628323, + 36897860 + ], + [ + 48731428, + 10289903 + ], + [ + 72238002, + 73889866 + ], + [ + 69722824, + 89013953 + ], + [ + 38899145, + 97074632 + ], + [ + 6238385, + 83312042 + ], + [ + 56928119, + 44257426 + ], + [ + 62379203, + 92554689 + ], + [ + 96238017, + 73866175 + ], + [ + 97227929, + 60425991 + ], + [ + 59528098, + 67229240 + ], + [ + 7836432, + 21913360 + ], + [ + 57207078, + 82208313 + ], + [ + 67554989, + 30003535 + ], + [ + 48068113, + 87471617 + ], + [ + 44929792, + 32589231 + ], + [ + 21732281, + 85250646 + ], + [ + 77786391, + 414663 + ], + [ + 90019251, + 56404612 + ], + [ + 62343134, + 53339291 + ], + [ + 19724162, + 3140042 + ], + [ + 12341252, + 86498168 + ], + [ + 33325932, + 31399181 + ], + [ + 24402108, + 14606253 + ], + [ + 84354278, + 54092530 + ], + [ + 79385827, + 13614571 + ], + [ + 91380462, + 63945640 + ], + [ + 23470477, + 14919303 + ], + [ + 72600518, + 54293870 + ], + [ + 98505267, + 46299169 + ], + [ + 24642384, + 54824242 + ], + [ + 64737892, + 34565184 + ], + [ + 46860906, + 42843562 + ], + [ + 44413637, + 92307877 + ], + [ + 17910127, + 68014226 + ], + [ + 20232072, + 37480438 + ], + [ + 22796240, + 66585557 + ], + [ + 51847804, + 71642124 + ], + [ + 34025147, + 88135944 + ], + [ + 36955475, + 84470523 + ], + [ + 65268184, + 15982280 + ], + [ + 58215498, + 63565244 + ], + [ + 61085583, + 22724364 + ], + [ + 88675252, + 62772750 + ], + [ + 428160, + 94237959 + ], + [ + 16334715, + 1949356 + ], + [ + 29902302, + 25284252 + ], + [ + 70154535, + 96263792 + ], + [ + 80707030, + 75859806 + ], + [ + 19839929, + 87874785 + ], + [ + 31154748, + 9505329 + ], + [ + 17676633, + 58005687 + ], + [ + 20996165, + 56219491 + ], + [ + 88641373, + 34773981 + ], + [ + 56226099, + 27559004 + ], + [ + 65652165, + 82042067 + ], + [ + 91502685, + 9525130 + ], + [ + 71270228, + 98634395 + ], + [ + 82683143, + 61945582 + ], + [ + 28805383, + 49545180 + ], + [ + 92196802, + 20717913 + ], + [ + 9366761, + 73786941 + ], + [ + 84572561, + 38055033 + ], + [ + 88225264, + 78679735 + ], + [ + 76674100, + 84514788 + ], + [ + 33171153, + 47075738 + ], + [ + 39263231, + 49690073 + ], + [ + 12561416, + 93363953 + ], + [ + 70110492, + 17469836 + ], + [ + 90663982, + 41915983 + ], + [ + 14239152, + 54248212 + ], + [ + 62875387, + 58121986 + ], + [ + 91658003, + 78633476 + ], + [ + 25270747, + 1864897 + ], + [ + 22700554, + 70345987 + ], + [ + 73187523, + 11097884 + ], + [ + 74728431, + 58594424 + ], + [ + 51583243, + 14460309 + ], + [ + 3562157, + 77424350 + ], + [ + 57516184, + 84633794 + ], + [ + 57658210, + 7478423 + ], + [ + 12795109, + 90217217 + ], + [ + 1116301, + 2808500 + ], + [ + 25796477, + 4085263 + ], + [ + 92354106, + 99366732 + ], + [ + 76464988, + 17468437 + ], + [ + 92365859, + 80228566 + ], + [ + 1278180, + 54444151 + ], + [ + 65104754, + 9195288 + ], + [ + 81438048, + 90999389 + ], + [ + 26688377, + 71087718 + ], + [ + 1782712, + 62834108 + ], + [ + 76996468, + 80751390 + ], + [ + 54002880, + 13882785 + ], + [ + 817006, + 87573402 + ], + [ + 57997323, + 83958401 + ], + [ + 30584883, + 92366996 + ], + [ + 63205863, + 64177156 + ], + [ + 41086200, + 8720493 + ], + [ + 50431284, + 5201156 + ], + [ + 56620875, + 1832518 + ], + [ + 1652812, + 90284840 + ], + [ + 94574142, + 55395417 + ], + [ + 28677786, + 25889374 + ], + [ + 83211538, + 81033562 + ], + [ + 97659618, + 10228897 + ], + [ + 46757455, + 55169884 + ], + [ + 87962843, + 50845030 + ], + [ + 49087149, + 82528601 + ], + [ + 91809051, + 50310028 + ], + [ + 66800928, + 68099987 + ], + [ + 98386177, + 62297842 + ], + [ + 25094127, + 45669310 + ], + [ + 17936177, + 24095882 + ], + [ + 83911949, + 84320539 + ], + [ + 37659650, + 62260698 + ], + [ + 43274300, + 1231666 + ], + [ + 63775710, + 57570790 + ], + [ + 68150644, + 71283236 + ], + [ + 8839774, + 79416480 + ], + [ + 16295239, + 21674848 + ], + [ + 14774246, + 25460622 + ], + [ + 71627087, + 91983800 + ], + [ + 94241062, + 80856306 + ], + [ + 16165369, + 15840700 + ], + [ + 39305535, + 39690356 + ], + [ + 45429079, + 86900532 + ], + [ + 10211791, + 43174352 + ], + [ + 38509751, + 16432492 + ], + [ + 46420422, + 389267 + ], + [ + 3917448, + 33857148 + ], + [ + 24799664, + 9789631 + ], + [ + 86380178, + 42092494 + ], + [ + 32381848, + 6144023 + ], + [ + 68759524, + 54598435 + ], + [ + 86296282, + 60825482 + ], + [ + 53124733, + 80795968 + ], + [ + 29725105, + 60869344 + ], + [ + 54652685, + 67640283 + ], + [ + 68859250, + 16156520 + ], + [ + 23367812, + 12561512 + ], + [ + 19534790, + 18325291 + ], + [ + 50011727, + 9727595 + ], + [ + 75725073, + 96920057 + ], + [ + 20345300, + 65234843 + ], + [ + 76987279, + 65544655 + ], + [ + 22336142, + 80706332 + ], + [ + 75203496, + 46216182 + ], + [ + 21942569, + 45932249 + ], + [ + 6850754, + 17826434 + ], + [ + 48327523, + 79555886 + ], + [ + 17981250, + 81024320 + ], + [ + 33759290, + 63772217 + ], + [ + 54692062, + 32261633 + ], + [ + 94649614, + 69860443 + ], + [ + 56284642, + 78474350 + ], + [ + 86695239, + 52680194 + ], + [ + 10865853, + 98479544 + ], + [ + 23504184, + 1648405 + ], + [ + 16037873, + 64868979 + ], + [ + 90777733, + 74413153 + ], + [ + 39188476, + 56202409 + ], + [ + 45602234, + 61485031 + ], + [ + 99476216, + 88665486 + ], + [ + 56400053, + 33296406 + ], + [ + 55064958, + 91806142 + ], + [ + 69354088, + 26325901 + ], + [ + 67498546, + 24858734 + ], + [ + 56681196, + 7053731 + ], + [ + 62807887, + 83054852 + ], + [ + 99370885, + 28219891 + ], + [ + 69123542, + 24639724 + ], + [ + 2455998, + 36871322 + ], + [ + 70130573, + 24469715 + ], + [ + 23103990, + 25283176 + ], + [ + 28114524, + 23518223 + ], + [ + 52536170, + 26446985 + ], + [ + 55386733, + 88718984 + ], + [ + 81426447, + 99823438 + ], + [ + 29012530, + 6682409 + ], + [ + 9313296, + 73306882 + ], + [ + 34230509, + 85494072 + ], + [ + 73674093, + 37201657 + ], + [ + 96240676, + 68763729 + ], + [ + 50931398, + 57344566 + ], + [ + 95686671, + 84373393 + ], + [ + 5341255, + 45091661 + ], + [ + 54639993, + 49272151 + ], + [ + 91075122, + 75480749 + ], + [ + 41148584, + 57017576 + ], + [ + 44898270, + 83197779 + ], + [ + 13063984, + 14510340 + ], + [ + 52630997, + 55343036 + ], + [ + 32745688, + 32603319 + ], + [ + 57940931, + 35777694 + ], + [ + 67699674, + 59627946 + ], + [ + 22019390, + 70991039 + ], + [ + 72627889, + 64070802 + ], + [ + 81106329, + 43069433 + ], + [ + 12710932, + 26342046 + ], + [ + 18176040, + 89434922 + ], + [ + 28137568, + 94343416 + ], + [ + 44934866, + 60872483 + ], + [ + 71382328, + 88516918 + ], + [ + 53407350, + 41846598 + ], + [ + 65665492, + 24520195 + ], + [ + 26584802, + 93091725 + ], + [ + 58845204, + 32410559 + ], + [ + 81661606, + 41229919 + ], + [ + 95459735, + 60843957 + ], + [ + 52040181, + 25390142 + ], + [ + 49076586, + 11330428 + ], + [ + 25129402, + 71790025 + ], + [ + 62632658, + 34212136 + ], + [ + 7111839, + 83460498 + ], + [ + 50953180, + 4903384 + ], + [ + 66327192, + 72220428 + ], + [ + 30259205, + 3849957 + ], + [ + 71025792, + 22723626 + ], + [ + 98092280, + 95293713 + ], + [ + 30514372, + 11659266 + ], + [ + 93230884, + 83079017 + ], + [ + 84679309, + 98137136 + ], + [ + 75905391, + 67624843 + ], + [ + 78362074, + 51003862 + ], + [ + 44712210, + 14832122 + ], + [ + 60202574, + 80364230 + ], + [ + 47781947, + 85419566 + ], + [ + 66524215, + 53423779 + ], + [ + 66525246, + 41718564 + ], + [ + 3754598, + 78623592 + ], + [ + 44151762, + 21053999 + ], + [ + 42640849, + 21120005 + ], + [ + 68089503, + 18274046 + ], + [ + 70352383, + 56674470 + ], + [ + 23014110, + 26222292 + ], + [ + 18881663, + 11562089 + ], + [ + 68062030, + 85119204 + ], + [ + 69193337, + 19016990 + ], + [ + 42160556, + 78248237 + ], + [ + 85427066, + 47274564 + ], + [ + 46083719, + 61484726 + ], + [ + 44140787, + 56252237 + ], + [ + 45039, + 62440465 + ], + [ + 46008568, + 96160145 + ], + [ + 80806747, + 53534194 + ], + [ + 88625051, + 87178956 + ], + [ + 2774546, + 26147571 + ], + [ + 98305260, + 45597510 + ], + [ + 11737836, + 19100353 + ], + [ + 559006, + 92982399 + ], + [ + 45310148, + 49933392 + ], + [ + 88142095, + 11645219 + ], + [ + 43859110, + 63819831 + ], + [ + 56194868, + 26853630 + ], + [ + 10742482, + 43747747 + ], + [ + 89604346, + 48746470 + ], + [ + 43598016, + 54429076 + ], + [ + 61766994, + 11271162 + ], + [ + 98976069, + 38635100 + ], + [ + 39602206, + 45545871 + ], + [ + 69063934, + 44983000 + ], + [ + 68323322, + 16707948 + ], + [ + 84669481, + 81258864 + ], + [ + 74442591, + 80079648 + ], + [ + 38432694, + 22277264 + ], + [ + 39696328, + 58963242 + ], + [ + 38271938, + 91911460 + ], + [ + 91526866, + 46270028 + ], + [ + 3721357, + 36448787 + ], + [ + 87369440, + 85482379 + ], + [ + 96881720, + 36984734 + ], + [ + 24463703, + 76719427 + ], + [ + 20464379, + 16688373 + ], + [ + 10051484, + 47703747 + ], + [ + 82205311, + 2869286 + ], + [ + 69886870, + 61063487 + ], + [ + 25186599, + 76457994 + ], + [ + 42591763, + 71197270 + ], + [ + 9145120, + 49658575 + ], + [ + 22331755, + 89423172 + ], + [ + 52525888, + 8931999 + ], + [ + 92058163, + 83527698 + ], + [ + 48944634, + 23666017 + ], + [ + 67267921, + 5575749 + ], + [ + 52116266, + 3546225 + ], + [ + 13125639, + 44989648 + ], + [ + 94842316, + 71536518 + ], + [ + 68645136, + 64728805 + ], + [ + 26969614, + 63206057 + ], + [ + 74497942, + 7970580 + ], + [ + 50602045, + 31403384 + ], + [ + 12284362, + 64164872 + ], + [ + 94761815, + 36834043 + ], + [ + 96664202, + 58481806 + ], + [ + 10034235, + 78634167 + ], + [ + 61351089, + 45972172 + ], + [ + 3912778, + 93202437 + ], + [ + 12103044, + 28867775 + ], + [ + 98571324, + 90729311 + ], + [ + 2826095, + 25109513 + ], + [ + 10374211, + 55536982 + ], + [ + 47806629, + 55863613 + ], + [ + 42456415, + 62447972 + ], + [ + 78832113, + 40965166 + ], + [ + 41720396, + 59969218 + ], + [ + 85883883, + 53004736 + ], + [ + 58291537, + 11272456 + ], + [ + 8183172, + 24935966 + ], + [ + 37728223, + 67466820 + ], + [ + 52846348, + 23571552 + ], + [ + 96156957, + 65883508 + ], + [ + 43972247, + 88444528 + ], + [ + 14671755, + 81055793 + ], + [ + 47658443, + 49497981 + ], + [ + 91984826, + 99663689 + ], + [ + 84334646, + 46674129 + ], + [ + 86189366, + 64965604 + ], + [ + 19340183, + 16704699 + ], + [ + 63763684, + 27861489 + ], + [ + 30397913, + 84581520 + ], + [ + 8203220, + 36620443 + ], + [ + 51616905, + 83317021 + ], + [ + 14485485, + 10420734 + ], + [ + 31264517, + 32235422 + ], + [ + 61038634, + 50578696 + ], + [ + 33605005, + 78484819 + ], + [ + 47062910, + 4857029 + ], + [ + 83915956, + 56006711 + ], + [ + 37848367, + 18293691 + ], + [ + 98253659, + 55605405 + ], + [ + 84671354, + 12440031 + ], + [ + 83029684, + 70246653 + ], + [ + 15637414, + 77678972 + ], + [ + 28389763, + 64896402 + ], + [ + 83965743, + 59932901 + ], + [ + 28167476, + 17619381 + ], + [ + 44883107, + 77633729 + ], + [ + 18403759, + 33514652 + ], + [ + 64770874, + 5560375 + ], + [ + 4886594, + 26511049 + ], + [ + 38252852, + 7890981 + ], + [ + 35744839, + 18268568 + ], + [ + 24523646, + 85733561 + ], + [ + 46952474, + 91686235 + ], + [ + 4098120, + 13280032 + ], + [ + 39271991, + 35194336 + ], + [ + 82905776, + 83755348 + ], + [ + 92843321, + 86164923 + ], + [ + 20336037, + 39699356 + ], + [ + 97145856, + 61749549 + ], + [ + 41861809, + 28841912 + ], + [ + 57962320, + 60267258 + ], + [ + 27142629, + 61254384 + ], + [ + 15414554, + 77437761 + ], + [ + 58916955, + 51341446 + ], + [ + 41010987, + 93354140 + ], + [ + 31050019, + 38515666 + ], + [ + 77338075, + 96762179 + ], + [ + 81648575, + 17284802 + ], + [ + 20931275, + 59575179 + ], + [ + 72489376, + 50381155 + ], + [ + 31974026, + 79633828 + ], + [ + 72064966, + 18944577 + ], + [ + 65567603, + 47296423 + ], + [ + 92094038, + 68713975 + ], + [ + 11992605, + 10819258 + ], + [ + 73629011, + 73829187 + ], + [ + 7627633, + 21800540 + ], + [ + 71523953, + 22277102 + ], + [ + 7214413, + 35602958 + ], + [ + 55264583, + 778377 + ], + [ + 26554796, + 61991299 + ], + [ + 69185898, + 9948742 + ], + [ + 90900580, + 32687474 + ], + [ + 87329851, + 11902912 + ], + [ + 7911365, + 74794213 + ], + [ + 20885578, + 66421183 + ], + [ + 66122815, + 22852339 + ], + [ + 78386860, + 55837090 + ], + [ + 5565533, + 90483282 + ], + [ + 14279311, + 34677099 + ], + [ + 12549300, + 85694910 + ], + [ + 5762116, + 50126552 + ], + [ + 81882905, + 17157797 + ], + [ + 71777732, + 10680892 + ], + [ + 34796613, + 46843452 + ], + [ + 16703563, + 61897079 + ], + [ + 45648921, + 24440349 + ], + [ + 19972450, + 3594862 + ], + [ + 66256252, + 841723 + ], + [ + 91451820, + 86679073 + ], + [ + 85431245, + 89141252 + ], + [ + 47319327, + 8529273 + ], + [ + 1654460, + 53582412 + ], + [ + 80022242, + 72129773 + ], + [ + 18098004, + 46687039 + ], + [ + 39320858, + 96282013 + ], + [ + 56668915, + 56204212 + ], + [ + 91248489, + 68994499 + ], + [ + 41593124, + 4228817 + ], + [ + 16353974, + 9259457 + ], + [ + 53654137, + 21414867 + ], + [ + 13550571, + 96963376 + ], + [ + 57319992, + 31655418 + ], + [ + 18929751, + 68631129 + ], + [ + 32356606, + 62775684 + ], + [ + 30307773, + 88521014 + ], + [ + 17554774, + 33134959 + ], + [ + 22293696, + 72791329 + ], + [ + 11978557, + 79920421 + ], + [ + 65734148, + 60056148 + ], + [ + 49613464, + 79317328 + ], + [ + 43828768, + 75740010 + ], + [ + 54406368, + 20653558 + ], + [ + 52122210, + 1148851 + ], + [ + 34610348, + 84384201 + ], + [ + 16833998, + 9762675 + ], + [ + 9989447, + 21367066 + ], + [ + 92792365, + 44581197 + ], + [ + 79199823, + 86233373 + ], + [ + 1062713, + 74036238 + ], + [ + 2882012, + 79172273 + ], + [ + 83192577, + 17479302 + ], + [ + 39091213, + 29670469 + ], + [ + 13327522, + 49998784 + ], + [ + 90363127, + 37977047 + ], + [ + 40896899, + 78174673 + ], + [ + 19428892, + 55712541 + ], + [ + 61885185, + 13041385 + ], + [ + 81714025, + 19305635 + ], + [ + 92610750, + 13898585 + ], + [ + 18673701, + 11198233 + ], + [ + 37254569, + 92690136 + ], + [ + 95595775, + 42138065 + ], + [ + 15300401, + 64394397 + ], + [ + 41171755, + 45447646 + ], + [ + 50593611, + 11974119 + ], + [ + 93336234, + 34888008 + ], + [ + 65710117, + 43978289 + ], + [ + 59269627, + 30948225 + ], + [ + 82223861, + 81586511 + ], + [ + 15620945, + 20566476 + ], + [ + 14526464, + 24304888 + ], + [ + 13801161, + 83612857 + ], + [ + 56234101, + 64767238 + ], + [ + 9962628, + 74655148 + ], + [ + 32402497, + 72077729 + ], + [ + 4688556, + 85502358 + ], + [ + 4256724, + 8737299 + ], + [ + 81587700, + 67446133 + ], + [ + 53743659, + 5384905 + ], + [ + 1368819, + 2665124 + ], + [ + 72548177, + 39075345 + ], + [ + 33112556, + 15328634 + ], + [ + 34413739, + 48217902 + ], + [ + 75113954, + 3275268 + ], + [ + 11784546, + 61567199 + ], + [ + 10510258, + 73959213 + ], + [ + 85592904, + 79336101 + ], + [ + 53279443, + 11105214 + ], + [ + 90516884, + 69238269 + ], + [ + 35316626, + 17471684 + ], + [ + 25202085, + 95973077 + ], + [ + 24153910, + 19334286 + ], + [ + 27797802, + 36534682 + ], + [ + 68616099, + 19496678 + ], + [ + 74024717, + 52340324 + ], + [ + 37564601, + 27571741 + ], + [ + 26462174, + 38050854 + ], + [ + 64431984, + 45590803 + ], + [ + 71015634, + 37708202 + ], + [ + 23816865, + 73958955 + ], + [ + 20249027, + 97402202 + ], + [ + 5080488, + 12430311 + ], + [ + 12886165, + 3406375 + ], + [ + 45452111, + 18911443 + ], + [ + 31962111, + 80482413 + ], + [ + 1263942, + 84706760 + ], + [ + 8317863, + 96202379 + ], + [ + 25697268, + 72689356 + ], + [ + 71977505, + 99937251 + ], + [ + 19542123, + 68203856 + ], + [ + 58832102, + 34843112 + ], + [ + 78763487, + 85486198 + ], + [ + 62981168, + 18414594 + ], + [ + 21619985, + 31861053 + ], + [ + 91278136, + 1953421 + ], + [ + 85016463, + 7823662 + ], + [ + 88146411, + 469619 + ], + [ + 67048761, + 77918276 + ], + [ + 99593248, + 76844871 + ], + [ + 7478915, + 11982904 + ], + [ + 57943320, + 16057332 + ], + [ + 19180363, + 28816392 + ], + [ + 40020672, + 95559102 + ], + [ + 82976368, + 58807916 + ], + [ + 93181388, + 36943776 + ], + [ + 61152766, + 24439428 + ], + [ + 35591577, + 79332703 + ], + [ + 97256563, + 83018868 + ], + [ + 71356049, + 7867393 + ], + [ + 61520038, + 15440921 + ], + [ + 88575483, + 71045727 + ], + [ + 87603868, + 71847249 + ], + [ + 1949388, + 96435425 + ], + [ + 49162159, + 16528853 + ], + [ + 18453606, + 64217217 + ], + [ + 46530282, + 82560621 + ], + [ + 93581441, + 15380794 + ], + [ + 15857955, + 67815928 + ], + [ + 12524911, + 59639712 + ], + [ + 20774233, + 47626228 + ], + [ + 4779366, + 61448473 + ], + [ + 52845817, + 47904064 + ], + [ + 98322818, + 42335517 + ], + [ + 27018814, + 73178887 + ], + [ + 27237607, + 38586578 + ], + [ + 64771410, + 81416064 + ], + [ + 77132164, + 70242875 + ], + [ + 31589392, + 95170524 + ], + [ + 49148510, + 80601724 + ], + [ + 62825598, + 62076386 + ], + [ + 67613582, + 62603539 + ], + [ + 1747218, + 71026091 + ], + [ + 25675713, + 66597791 + ], + [ + 78078487, + 9852879 + ], + [ + 50638432, + 47831195 + ], + [ + 648334, + 37571114 + ], + [ + 83947208, + 19561053 + ], + [ + 67428964, + 61822900 + ], + [ + 57702076, + 38858735 + ], + [ + 25767614, + 21367052 + ], + [ + 7938024, + 84644815 + ], + [ + 9201897, + 71387986 + ], + [ + 86825608, + 56930604 + ], + [ + 28181651, + 68731877 + ], + [ + 4173556, + 11181811 + ], + [ + 88871532, + 31040100 + ], + [ + 98734047, + 14672227 + ], + [ + 38027629, + 29267989 + ], + [ + 24285452, + 54551158 + ], + [ + 93823474, + 21763538 + ], + [ + 28872527, + 30232842 + ], + [ + 76936812, + 76774004 + ], + [ + 52782421, + 97071021 + ], + [ + 71360305, + 48881770 + ], + [ + 7904729, + 48919457 + ], + [ + 91150767, + 34688748 + ], + [ + 80740692, + 39721268 + ], + [ + 52533632, + 57928020 + ], + [ + 16325067, + 52202353 + ], + [ + 14932583, + 6286426 + ], + [ + 31383324, + 79772961 + ], + [ + 16323482, + 69405626 + ], + [ + 95874871, + 20001758 + ], + [ + 27482620, + 62362002 + ], + [ + 73540078, + 15865558 + ], + [ + 60211556, + 10926227 + ], + [ + 45700288, + 5721954 + ], + [ + 14266294, + 81515901 + ], + [ + 77562028, + 7006464 + ], + [ + 79562185, + 61683007 + ], + [ + 34876713, + 36837318 + ], + [ + 4611173, + 55484743 + ], + [ + 14412788, + 62944539 + ], + [ + 20066184, + 3892421 + ], + [ + 35759428, + 52030830 + ], + [ + 76979294, + 67324496 + ], + [ + 4912942, + 27820300 + ], + [ + 97030143, + 97238531 + ], + [ + 49693861, + 72454532 + ], + [ + 51007242, + 4642129 + ], + [ + 71717034, + 39603313 + ], + [ + 58886837, + 10169698 + ], + [ + 9382813, + 97475699 + ], + [ + 63769433, + 17846269 + ], + [ + 90449599, + 68622619 + ], + [ + 52302287, + 70347557 + ], + [ + 11068282, + 60025737 + ], + [ + 95825388, + 49366738 + ], + [ + 19135034, + 28281328 + ], + [ + 68418534, + 42684509 + ], + [ + 36399802, + 21208420 + ], + [ + 98666517, + 29958720 + ], + [ + 7096094, + 13292474 + ], + [ + 91670451, + 51695064 + ], + [ + 60771185, + 67586088 + ], + [ + 64558202, + 57500860 + ], + [ + 23484109, + 87133930 + ], + [ + 44603193, + 5803647 + ], + [ + 40960122, + 55128598 + ], + [ + 80630418, + 82904227 + ], + [ + 34370832, + 27736514 + ], + [ + 42859016, + 16024357 + ], + [ + 56448168, + 46421338 + ], + [ + 69846030, + 67769792 + ], + [ + 25242392, + 72962024 + ], + [ + 30454568, + 2275154 + ], + [ + 25367879, + 69984533 + ], + [ + 67831641, + 39379046 + ], + [ + 29737190, + 48866502 + ], + [ + 5246183, + 87433537 + ], + [ + 10507170, + 24765890 + ], + [ + 16533527, + 43993069 + ], + [ + 32610216, + 85901962 + ], + [ + 33057271, + 75235169 + ], + [ + 32230178, + 27787341 + ], + [ + 38695713, + 51392994 + ], + [ + 72414700, + 67633862 + ], + [ + 827415, + 79953424 + ], + [ + 210630, + 52591298 + ], + [ + 90501326, + 19702728 + ], + [ + 60965090, + 33686190 + ], + [ + 49414296, + 44158349 + ], + [ + 89498288, + 42237436 + ], + [ + 14863461, + 1548661 + ], + [ + 52245672, + 51972866 + ], + [ + 56479396, + 45347579 + ], + [ + 75909762, + 21006699 + ], + [ + 34511773, + 90706899 + ], + [ + 87230287, + 46801812 + ], + [ + 80977917, + 1285438 + ], + [ + 24077944, + 5322488 + ], + [ + 82277170, + 21574880 + ], + [ + 72775158, + 20047129 + ], + [ + 21175276, + 47988455 + ], + [ + 52746775, + 12578005 + ], + [ + 40494370, + 31166505 + ], + [ + 93271105, + 88374280 + ], + [ + 36482253, + 20412358 + ], + [ + 45365259, + 23264026 + ], + [ + 29974296, + 7127531 + ], + [ + 15404459, + 35728520 + ], + [ + 91426808, + 23412278 + ], + [ + 62062337, + 29621933 + ], + [ + 73934345, + 93162348 + ], + [ + 48940855, + 33550917 + ], + [ + 64324254, + 50594832 + ], + [ + 36934512, + 68124045 + ], + [ + 79898142, + 44218232 + ], + [ + 69957163, + 85365356 + ], + [ + 79814377, + 40175470 + ], + [ + 45621167, + 5476712 + ], + [ + 13775975, + 10341067 + ], + [ + 35637618, + 48955491 + ], + [ + 69632157, + 59630665 + ], + [ + 83773829, + 17820433 + ], + [ + 16266440, + 87355065 + ], + [ + 12997908, + 9181827 + ], + [ + 27753024, + 9947029 + ], + [ + 99926313, + 62330567 + ], + [ + 36010126, + 20769936 + ], + [ + 89593301, + 68280336 + ], + [ + 15440810, + 84476304 + ], + [ + 25483102, + 22685605 + ], + [ + 30007631, + 59694736 + ], + [ + 79758705, + 12037969 + ], + [ + 21753043, + 80696795 + ], + [ + 74257389, + 21348859 + ], + [ + 25549677, + 42819496 + ], + [ + 78316190, + 12957342 + ], + [ + 1054064, + 73945334 + ], + [ + 727184, + 23622731 + ], + [ + 68984484, + 33892271 + ], + [ + 86461359, + 60037289 + ], + [ + 5735198, + 72355070 + ], + [ + 60754350, + 43635631 + ], + [ + 49815223, + 75458685 + ], + [ + 65120040, + 39337961 + ], + [ + 89904156, + 26307291 + ], + [ + 26850915, + 90377884 + ], + [ + 23058835, + 63473259 + ], + [ + 27248977, + 86964063 + ], + [ + 71254983, + 47876988 + ], + [ + 28441507, + 85017793 + ], + [ + 94725986, + 72817101 + ], + [ + 1463353, + 53384545 + ], + [ + 53395836, + 1343243 + ], + [ + 38566295, + 24335141 + ], + [ + 77155160, + 7926454 + ], + [ + 80099701, + 78362453 + ], + [ + 73399493, + 7462449 + ], + [ + 82156099, + 78401199 + ], + [ + 20117108, + 94451676 + ], + [ + 95203196, + 77422090 + ], + [ + 62639144, + 52471223 + ], + [ + 39901556, + 70413850 + ], + [ + 49913552, + 72187035 + ], + [ + 70757250, + 50052528 + ], + [ + 92120143, + 2247186 + ], + [ + 45086282, + 37225204 + ], + [ + 79314492, + 58014685 + ], + [ + 83082886, + 48428715 + ], + [ + 22886280, + 40969738 + ], + [ + 96488516, + 26619619 + ], + [ + 44311480, + 89818775 + ], + [ + 84857835, + 32094875 + ], + [ + 98116166, + 78862502 + ], + [ + 69526783, + 87202929 + ], + [ + 23166828, + 60114842 + ], + [ + 43727763, + 1583975 + ], + [ + 37839192, + 69577945 + ], + [ + 84692718, + 90153505 + ], + [ + 263513, + 22447433 + ], + [ + 86356708, + 31994280 + ], + [ + 98750977, + 60089934 + ], + [ + 27811384, + 17069594 + ], + [ + 37754294, + 13693867 + ], + [ + 9441003, + 97042922 + ], + [ + 79095339, + 81113543 + ], + [ + 37153117, + 50563927 + ], + [ + 26124064, + 35936135 + ], + [ + 73672194, + 83372110 + ], + [ + 83006854, + 18923075 + ], + [ + 54208977, + 54707705 + ], + [ + 92280143, + 73189938 + ], + [ + 21069247, + 58514827 + ], + [ + 35638448, + 27406499 + ], + [ + 8447059, + 95004561 + ], + [ + 64963158, + 3878801 + ], + [ + 99758563, + 73303344 + ], + [ + 39011711, + 67385000 + ], + [ + 34300119, + 44841407 + ], + [ + 62734672, + 94130348 + ], + [ + 41572971, + 97245638 + ], + [ + 95715903, + 59410818 + ], + [ + 73813814, + 99348077 + ], + [ + 50241576, + 21893105 + ], + [ + 96625665, + 53494625 + ], + [ + 5258287, + 87316262 + ], + [ + 2534647, + 87912685 + ], + [ + 47639916, + 45653156 + ], + [ + 61669321, + 40867482 + ], + [ + 97118550, + 48384540 + ], + [ + 80493401, + 11572824 + ], + [ + 11829978, + 19995260 + ], + [ + 42690354, + 70734975 + ], + [ + 17207066, + 98807138 + ], + [ + 98766344, + 60466120 + ], + [ + 74669907, + 48915691 + ], + [ + 19255346, + 10776853 + ], + [ + 62576108, + 22018333 + ], + [ + 7436667, + 45998550 + ], + [ + 91234243, + 58074864 + ], + [ + 33938864, + 43300661 + ], + [ + 17305012, + 5229960 + ], + [ + 71861551, + 54611325 + ], + [ + 61603962, + 80700109 + ], + [ + 49788571, + 69380905 + ], + [ + 25929173, + 77398798 + ], + [ + 32643286, + 10187410 + ], + [ + 95265180, + 26965156 + ], + [ + 81439215, + 71534582 + ], + [ + 59365062, + 55010569 + ], + [ + 8526899, + 15979704 + ], + [ + 7848664, + 86266770 + ], + [ + 42282667, + 55719921 + ], + [ + 80555309, + 52349585 + ], + [ + 84481193, + 65870396 + ], + [ + 5209410, + 92000609 + ], + [ + 1846227, + 9753563 + ], + [ + 25006417, + 21120732 + ], + [ + 30186668, + 66476751 + ], + [ + 27129117, + 3386455 + ], + [ + 80406762, + 87333998 + ], + [ + 35085487, + 27131130 + ], + [ + 75042550, + 7875860 + ], + [ + 61150593, + 2749496 + ], + [ + 11666805, + 82417594 + ], + [ + 97071323, + 52431948 + ], + [ + 29354651, + 71895795 + ], + [ + 11226018, + 67535074 + ], + [ + 79540664, + 85146784 + ], + [ + 37844154, + 62907760 + ], + [ + 97358725, + 27703080 + ], + [ + 61152222, + 51299527 + ], + [ + 73835336, + 1073067 + ], + [ + 38932551, + 52579435 + ], + [ + 82758973, + 73301938 + ], + [ + 25149586, + 94154015 + ], + [ + 31294713, + 56728413 + ], + [ + 6770579, + 34376173 + ], + [ + 94124908, + 82746430 + ], + [ + 51139243, + 64760619 + ], + [ + 78170662, + 9372013 + ], + [ + 29306083, + 95177189 + ], + [ + 49872545, + 85171648 + ], + [ + 82637134, + 72247047 + ], + [ + 51926577, + 28044483 + ], + [ + 37863067, + 72469934 + ], + [ + 92448098, + 52334431 + ], + [ + 56109114, + 61122242 + ], + [ + 52618802, + 78207359 + ], + [ + 23027512, + 51524013 + ], + [ + 11922501, + 37059689 + ], + [ + 97925227, + 27134597 + ], + [ + 89634388, + 91854425 + ], + [ + 8756921, + 60580053 + ], + [ + 97766346, + 27272092 + ], + [ + 14250102, + 87836653 + ], + [ + 30629845, + 81022511 + ], + [ + 79799805, + 62651892 + ], + [ + 58512500, + 86125646 + ], + [ + 57054933, + 2686244 + ], + [ + 22913913, + 54899408 + ], + [ + 81840799, + 29762337 + ], + [ + 76047023, + 97385669 + ], + [ + 51432087, + 37571054 + ], + [ + 66261527, + 49366827 + ], + [ + 123303, + 29888504 + ], + [ + 25336582, + 17791275 + ], + [ + 5813707, + 21313890 + ], + [ + 25271594, + 26830399 + ], + [ + 5710059, + 68771003 + ], + [ + 45408073, + 87275118 + ], + [ + 50213025, + 87001327 + ], + [ + 31092223, + 69572882 + ], + [ + 10347220, + 20130149 + ], + [ + 72740175, + 17961921 + ], + [ + 23897910, + 8130072 + ], + [ + 15609516, + 94629697 + ], + [ + 52300321, + 48339970 + ], + [ + 98166019, + 98417165 + ], + [ + 50671563, + 85766471 + ], + [ + 78137886, + 13916936 + ], + [ + 6996815, + 39147713 + ], + [ + 46350284, + 61980542 + ], + [ + 34459710, + 67073253 + ], + [ + 28766801, + 34438898 + ], + [ + 10128656, + 11383978 + ], + [ + 38479492, + 96002990 + ], + [ + 83213353, + 41206975 + ], + [ + 95436458, + 98712237 + ], + [ + 68220577, + 4214656 + ], + [ + 87311205, + 37969255 + ], + [ + 39921201, + 37941000 + ], + [ + 83375664, + 73363443 + ], + [ + 36432826, + 70013334 + ], + [ + 65895797, + 34789336 + ], + [ + 34009921, + 51387471 + ], + [ + 65315825, + 35454135 + ], + [ + 5643274, + 90274493 + ], + [ + 68960753, + 85785161 + ], + [ + 21346488, + 62388889 + ], + [ + 70979277, + 31407019 + ], + [ + 23392833, + 65730644 + ], + [ + 1629631, + 15553101 + ], + [ + 36357180, + 69945568 + ], + [ + 59891068, + 49720786 + ], + [ + 68730163, + 77674539 + ], + [ + 77206988, + 56936449 + ], + [ + 41393069, + 52056090 + ], + [ + 91376903, + 80218706 + ], + [ + 79013749, + 46806401 + ], + [ + 78423203, + 14198360 + ], + [ + 29456420, + 41128270 + ], + [ + 13763272, + 63771480 + ], + [ + 90648859, + 2046170 + ], + [ + 84433951, + 50060145 + ], + [ + 64601100, + 81484719 + ], + [ + 6867596, + 19401736 + ], + [ + 12954035, + 86083041 + ], + [ + 984909, + 58767483 + ], + [ + 6141313, + 20483747 + ], + [ + 34393317, + 85006184 + ], + [ + 39083406, + 35495433 + ], + [ + 96136807, + 28527402 + ], + [ + 22762914, + 65050465 + ], + [ + 17493371, + 66377844 + ], + [ + 82228957, + 56710108 + ], + [ + 40512714, + 82446529 + ], + [ + 31222068, + 50108677 + ], + [ + 19569458, + 73534696 + ], + [ + 4335733, + 88238694 + ], + [ + 65517704, + 85749457 + ], + [ + 78290286, + 39277748 + ], + [ + 12313606, + 6198802 + ], + [ + 33695282, + 88751206 + ], + [ + 70742981, + 60209318 + ], + [ + 41233538, + 42106432 + ], + [ + 9123650, + 1557812 + ], + [ + 88307639, + 47236128 + ], + [ + 17451262, + 72648619 + ], + [ + 91714133, + 56131337 + ], + [ + 46150452, + 44904102 + ], + [ + 41339948, + 88516136 + ], + [ + 43470561, + 59714839 + ], + [ + 28404620, + 2827443 + ], + [ + 19667814, + 80641729 + ], + [ + 13228418, + 88475726 + ], + [ + 38957453, + 3596421 + ], + [ + 99329166, + 61973925 + ], + [ + 75714146, + 81819264 + ], + [ + 21606010, + 15650248 + ], + [ + 17861330, + 33958271 + ], + [ + 40933518, + 65403965 + ], + [ + 72826181, + 16244034 + ], + [ + 70053721, + 23138266 + ], + [ + 53660308, + 46553345 + ], + [ + 26776486, + 79598334 + ], + [ + 53755060, + 92260324 + ], + [ + 49295245, + 7815444 + ], + [ + 58170695, + 86887515 + ], + [ + 63759911, + 23816397 + ], + [ + 93586361, + 40110362 + ], + [ + 82893425, + 51297174 + ], + [ + 90007272, + 977557 + ], + [ + 21894522, + 37072971 + ], + [ + 32339118, + 31220454 + ], + [ + 87385613, + 59938412 + ], + [ + 11479298, + 35448352 + ], + [ + 60051924, + 31188583 + ], + [ + 26923645, + 83718426 + ], + [ + 24878037, + 69339833 + ], + [ + 30412838, + 46472602 + ], + [ + 22743061, + 96017950 + ], + [ + 13437, + 208514 + ], + [ + 56861587, + 4569046 + ], + [ + 21141855, + 34190273 + ], + [ + 36684966, + 52840520 + ], + [ + 86733337, + 67061918 + ], + [ + 16923056, + 96216515 + ], + [ + 49094054, + 5711600 + ], + [ + 86420691, + 74497123 + ], + [ + 76288584, + 70190857 + ], + [ + 15760371, + 90951131 + ], + [ + 35373591, + 47527469 + ], + [ + 15892346, + 31359322 + ], + [ + 14971402, + 89835941 + ], + [ + 70040750, + 24675744 + ], + [ + 67468371, + 31207992 + ], + [ + 200494, + 12714747 + ], + [ + 34672060, + 85384811 + ], + [ + 87442876, + 44920090 + ], + [ + 10241270, + 11360804 + ], + [ + 2909466, + 26480864 + ], + [ + 97992508, + 62199174 + ], + [ + 71938005, + 28446402 + ], + [ + 23869576, + 67883470 + ], + [ + 52830214, + 92000243 + ], + [ + 75749284, + 32573460 + ], + [ + 46315859, + 6909098 + ], + [ + 39885226, + 28328308 + ], + [ + 88262255, + 67966708 + ], + [ + 95659056, + 52417618 + ], + [ + 37789305, + 64441253 + ], + [ + 99992840, + 44576486 + ], + [ + 24731642, + 636076 + ], + [ + 61587181, + 28518176 + ], + [ + 70793035, + 62550793 + ], + [ + 40379708, + 10446422 + ], + [ + 77507665, + 69275606 + ], + [ + 41792270, + 33334550 + ], + [ + 3505459, + 44455740 + ], + [ + 82269089, + 50384904 + ], + [ + 10322694, + 56242947 + ], + [ + 99760890, + 65681285 + ], + [ + 4998441, + 64122326 + ], + [ + 68613786, + 45710670 + ], + [ + 82303600, + 45480827 + ], + [ + 83932606, + 70295960 + ], + [ + 72119171, + 94723600 + ], + [ + 42961329, + 20862338 + ], + [ + 34528052, + 9796018 + ], + [ + 73249834, + 23292744 + ], + [ + 75850830, + 14645583 + ], + [ + 28290297, + 14787312 + ], + [ + 68540672, + 18874029 + ], + [ + 45007385, + 32999998 + ], + [ + 82333360, + 15751208 + ], + [ + 89280412, + 10375324 + ], + [ + 92461683, + 68083560 + ], + [ + 86648435, + 95417220 + ], + [ + 74322709, + 56140887 + ], + [ + 97901252, + 58120566 + ], + [ + 83450874, + 23617392 + ], + [ + 53293443, + 76640056 + ], + [ + 4799620, + 62143874 + ], + [ + 34461356, + 5093580 + ], + [ + 19656894, + 28271297 + ], + [ + 50328021, + 82198973 + ], + [ + 18046942, + 80690809 + ], + [ + 47744108, + 83075828 + ], + [ + 54015860, + 23533578 + ], + [ + 95292273, + 16391760 + ], + [ + 75284315, + 59702134 + ], + [ + 81900506, + 13580551 + ], + [ + 74589085, + 4478719 + ], + [ + 50007578, + 39228530 + ], + [ + 67254283, + 16005451 + ], + [ + 81693579, + 28462019 + ], + [ + 40096671, + 65653636 + ], + [ + 95753391, + 27343827 + ], + [ + 80947025, + 24624163 + ], + [ + 83407312, + 7712443 + ], + [ + 1509218, + 1408698 + ], + [ + 82216246, + 7101330 + ], + [ + 31899007, + 95344893 + ], + [ + 9143466, + 65057030 + ], + [ + 7060229, + 5018110 + ], + [ + 30927428, + 63077271 + ], + [ + 96451304, + 80794186 + ], + [ + 23540773, + 91919653 + ], + [ + 93091785, + 50055163 + ], + [ + 20461141, + 23756831 + ], + [ + 10473304, + 74674870 + ], + [ + 57978036, + 14163342 + ], + [ + 14925674, + 30546157 + ], + [ + 75017973, + 78585498 + ], + [ + 13263720, + 85123925 + ], + [ + 85449797, + 87350159 + ], + [ + 82393757, + 70590069 + ], + [ + 7613934, + 98605176 + ], + [ + 50920419, + 39688865 + ], + [ + 38694497, + 41135067 + ], + [ + 55255205, + 79050954 + ], + [ + 68373309, + 88386521 + ], + [ + 71982840, + 12736614 + ], + [ + 57588031, + 39778608 + ], + [ + 67532627, + 54377016 + ], + [ + 99211523, + 90772927 + ], + [ + 81509758, + 83144488 + ], + [ + 91755848, + 66195370 + ], + [ + 9608475, + 71551213 + ], + [ + 16456042, + 23145169 + ], + [ + 84315237, + 23663811 + ], + [ + 66314317, + 59651394 + ], + [ + 24919178, + 24317088 + ], + [ + 65130275, + 33735356 + ], + [ + 45705372, + 33959186 + ], + [ + 54007722, + 65135976 + ], + [ + 30645799, + 19460753 + ], + [ + 11107215, + 636925 + ], + [ + 97073893, + 17841655 + ], + [ + 11003727, + 38486535 + ], + [ + 13043161, + 2636845 + ], + [ + 1774943, + 57807904 + ], + [ + 37939974, + 68825584 + ], + [ + 21382563, + 21669871 + ], + [ + 83105468, + 53171236 + ], + [ + 14554067, + 59147246 + ], + [ + 75949720, + 19763608 + ], + [ + 29175675, + 61729055 + ], + [ + 98276441, + 63231078 + ], + [ + 11943263, + 9253946 + ], + [ + 51758104, + 10198450 + ], + [ + 86679766, + 80279603 + ], + [ + 26058853, + 73737740 + ], + [ + 23856427, + 11229234 + ], + [ + 52271865, + 70773524 + ], + [ + 4258594, + 45330478 + ], + [ + 88487019, + 55195957 + ], + [ + 58812782, + 85371166 + ], + [ + 33674401, + 5071991 + ], + [ + 52731520, + 27874966 + ], + [ + 27501716, + 421651 + ], + [ + 91009456, + 62913185 + ], + [ + 80047106, + 78748529 + ], + [ + 14134175, + 2081039 + ], + [ + 20286448, + 56496351 + ], + [ + 29213617, + 41116866 + ], + [ + 98365, + 93720841 + ], + [ + 13670973, + 41234419 + ], + [ + 43916255, + 47726144 + ], + [ + 26232554, + 70843107 + ], + [ + 59864254, + 11487820 + ], + [ + 29276881, + 49905661 + ], + [ + 21516799, + 31538019 + ], + [ + 40592128, + 43056157 + ], + [ + 89286285, + 52206919 + ], + [ + 75338680, + 6480974 + ], + [ + 43003985, + 8280461 + ], + [ + 3192915, + 17257505 + ], + [ + 88353892, + 98372816 + ], + [ + 13970064, + 47034120 + ], + [ + 33389134, + 92821955 + ], + [ + 89533050, + 5112074 + ], + [ + 48363012, + 40047131 + ], + [ + 48098603, + 5713154 + ], + [ + 31846394, + 37347236 + ], + [ + 49050147, + 34968955 + ], + [ + 62590687, + 45275345 + ], + [ + 39944424, + 22887294 + ], + [ + 42718441, + 99900299 + ], + [ + 87995620, + 75048632 + ], + [ + 96565849, + 73080799 + ], + [ + 27869468, + 67040399 + ], + [ + 74613153, + 58749177 + ], + [ + 13759255, + 6834768 + ], + [ + 20670503, + 7648975 + ], + [ + 98885665, + 89194163 + ], + [ + 6226921, + 7221067 + ], + [ + 69774348, + 11326691 + ], + [ + 74788450, + 55191915 + ], + [ + 67457280, + 92741713 + ], + [ + 67151095, + 89768606 + ], + [ + 73971167, + 85325545 + ], + [ + 44374238, + 76554217 + ], + [ + 82453839, + 4451185 + ], + [ + 87499872, + 65016012 + ], + [ + 43772226, + 48416211 + ], + [ + 94661492, + 34481750 + ], + [ + 46895184, + 62618949 + ], + [ + 10874463, + 22992528 + ], + [ + 98327554, + 71354163 + ], + [ + 97245826, + 18566158 + ], + [ + 96110793, + 75429087 + ], + [ + 14973978, + 72120213 + ], + [ + 13256326, + 74183585 + ], + [ + 80682535, + 92562883 + ], + [ + 69322127, + 11775374 + ], + [ + 93010435, + 71291935 + ], + [ + 20226148, + 73806908 + ], + [ + 9916813, + 72837310 + ], + [ + 68966895, + 80026612 + ], + [ + 73314821, + 5017957 + ], + [ + 1734120, + 39826625 + ], + [ + 60476456, + 59251177 + ], + [ + 65681591, + 62351562 + ], + [ + 21442190, + 45290799 + ], + [ + 34232454, + 93906047 + ], + [ + 53167871, + 17638528 + ], + [ + 75025152, + 94976625 + ], + [ + 78938491, + 61825316 + ], + [ + 96651702, + 12761572 + ], + [ + 66080299, + 52173904 + ], + [ + 47840342, + 83621319 + ], + [ + 46516522, + 77931148 + ], + [ + 29974757, + 61563759 + ], + [ + 63346854, + 56685381 + ], + [ + 24824871, + 48161341 + ], + [ + 41321342, + 76779321 + ], + [ + 68779262, + 51301418 + ], + [ + 8881224, + 96455935 + ], + [ + 25887826, + 17976367 + ], + [ + 90470576, + 27883310 + ], + [ + 8922649, + 81060896 + ], + [ + 52215624, + 52235229 + ], + [ + 63417886, + 4490361 + ], + [ + 59516229, + 9592054 + ], + [ + 6137465, + 401447 + ], + [ + 31491051, + 17070882 + ], + [ + 81295833, + 54517157 + ], + [ + 34618329, + 93062894 + ], + [ + 94094192, + 51642572 + ], + [ + 4905724, + 34345922 + ], + [ + 97186966, + 65494355 + ], + [ + 75235326, + 63745269 + ], + [ + 50848437, + 40389356 + ], + [ + 91079849, + 79496529 + ], + [ + 33628004, + 76780433 + ], + [ + 23371888, + 48105315 + ], + [ + 26927922, + 42048830 + ], + [ + 78737855, + 20497920 + ], + [ + 4475081, + 12962038 + ], + [ + 75876204, + 57598106 + ], + [ + 65771881, + 19219179 + ], + [ + 56316567, + 30158494 + ], + [ + 14652749, + 57708555 + ], + [ + 90693507, + 11332603 + ], + [ + 5230464, + 78857318 + ], + [ + 1021602, + 17342069 + ], + [ + 10623895, + 77789871 + ], + [ + 40827887, + 79110152 + ], + [ + 37647477, + 39894252 + ], + [ + 95810810, + 61001110 + ], + [ + 27028457, + 88782548 + ], + [ + 77975103, + 54149 + ], + [ + 77999120, + 87436073 + ], + [ + 22374590, + 32041663 + ], + [ + 97798562, + 54237951 + ], + [ + 56143728, + 14380003 + ], + [ + 79984311, + 74104638 + ], + [ + 63319417, + 17942789 + ], + [ + 37354431, + 97278913 + ], + [ + 21490468, + 48343023 + ], + [ + 93473681, + 19549911 + ], + [ + 15616583, + 96391789 + ], + [ + 95941201, + 99523307 + ], + [ + 98901569, + 79336224 + ], + [ + 52692588, + 90356723 + ], + [ + 41115153, + 40362004 + ], + [ + 53540637, + 3442638 + ], + [ + 31478204, + 32389813 + ], + [ + 37543347, + 89216020 + ], + [ + 97143613, + 54763447 + ], + [ + 30732159, + 60858692 + ], + [ + 73663717, + 66305781 + ], + [ + 61069530, + 82643581 + ], + [ + 55727760, + 30655783 + ], + [ + 45852197, + 79026003 + ], + [ + 21034995, + 7197733 + ], + [ + 54302091, + 92247206 + ], + [ + 82003185, + 16450440 + ], + [ + 13127251, + 351528 + ], + [ + 58882969, + 78626173 + ], + [ + 8923493, + 34435576 + ], + [ + 54754179, + 60243942 + ], + [ + 31845783, + 66634198 + ], + [ + 53148207, + 40760622 + ], + [ + 96917524, + 47969740 + ], + [ + 74671940, + 28343467 + ], + [ + 73933664, + 10653593 + ], + [ + 82435286, + 75382082 + ], + [ + 52885855, + 62331769 + ], + [ + 39416438, + 72824678 + ], + [ + 4232560, + 93828213 + ], + [ + 76454593, + 96212507 + ], + [ + 55287826, + 47965451 + ], + [ + 69726022, + 64598797 + ], + [ + 68901057, + 12501829 + ], + [ + 30425403, + 75026546 + ], + [ + 78488503, + 84075568 + ], + [ + 32247061, + 99996478 + ], + [ + 34437917, + 8343713 + ], + [ + 35722115, + 54509751 + ], + [ + 34654502, + 55199023 + ], + [ + 82606664, + 22808873 + ], + [ + 10476369, + 716555 + ], + [ + 61603921, + 25455708 + ], + [ + 1223769, + 13596614 + ], + [ + 5464007, + 87679482 + ], + [ + 41694224, + 46710611 + ], + [ + 79833282, + 42686278 + ], + [ + 28273195, + 17354281 + ], + [ + 26329473, + 8582522 + ], + [ + 21172762, + 15846434 + ], + [ + 16970850, + 532446 + ], + [ + 49089298, + 55530725 + ], + [ + 26131131, + 76166793 + ], + [ + 52021959, + 48253955 + ], + [ + 44803763, + 91620021 + ], + [ + 77615972, + 59083478 + ], + [ + 22202703, + 69250851 + ], + [ + 68983724, + 46195989 + ], + [ + 61229338, + 82733683 + ], + [ + 91801949, + 74748920 + ], + [ + 80372412, + 25426547 + ], + [ + 84946473, + 26413904 + ], + [ + 39392667, + 43141619 + ], + [ + 69821156, + 15268615 + ], + [ + 47174658, + 91636144 + ], + [ + 78836444, + 27195344 + ], + [ + 2508879, + 5019350 + ], + [ + 56687317, + 51929501 + ], + [ + 86109782, + 99567191 + ], + [ + 89841153, + 90731590 + ], + [ + 35508470, + 6197390 + ], + [ + 65534156, + 9888215 + ], + [ + 39018668, + 85153424 + ], + [ + 82640100, + 62240778 + ], + [ + 84312320, + 9963511 + ], + [ + 14634482, + 31041189 + ], + [ + 57319470, + 10327093 + ], + [ + 48556888, + 1043167 + ], + [ + 77403551, + 50186063 + ], + [ + 76235396, + 67778734 + ], + [ + 87272401, + 98107404 + ], + [ + 37085610, + 73096552 + ], + [ + 74103406, + 7492841 + ], + [ + 17093972, + 98121673 + ], + [ + 81929426, + 25360869 + ], + [ + 19751390, + 97310294 + ], + [ + 9771858, + 45432222 + ], + [ + 41535710, + 15277394 + ], + [ + 9521231, + 76928161 + ], + [ + 4364457, + 5603802 + ], + [ + 37173493, + 43490485 + ], + [ + 3246797, + 33901436 + ], + [ + 9818107, + 6551788 + ], + [ + 8673648, + 49163202 + ], + [ + 4955889, + 42303280 + ], + [ + 84257475, + 83307254 + ], + [ + 12342715, + 64896460 + ], + [ + 88557434, + 94745854 + ], + [ + 35537188, + 5847975 + ], + [ + 41008901, + 40413021 + ], + [ + 2748164, + 4578664 + ], + [ + 80843965, + 80139079 + ], + [ + 43706607, + 11350258 + ], + [ + 60249081, + 30068945 + ], + [ + 79803887, + 79736835 + ], + [ + 48018265, + 25212412 + ], + [ + 46085670, + 78089980 + ], + [ + 81030436, + 22417593 + ], + [ + 48433411, + 61401426 + ], + [ + 74932123, + 55105046 + ], + [ + 66340979, + 43489837 + ], + [ + 58314035, + 59108034 + ], + [ + 39407077, + 84781002 + ], + [ + 67724264, + 31958399 + ], + [ + 66635683, + 51385276 + ], + [ + 37548261, + 86477061 + ], + [ + 15844938, + 5586354 + ], + [ + 92951531, + 51454832 + ], + [ + 45719398, + 22658335 + ], + [ + 66429463, + 81093912 + ], + [ + 52044952, + 45175386 + ], + [ + 48139366, + 1292533 + ], + [ + 48831210, + 78984940 + ], + [ + 94874867, + 16726303 + ], + [ + 90425075, + 24829185 + ], + [ + 42425418, + 18393128 + ], + [ + 92627938, + 56095995 + ], + [ + 85976824, + 38356197 + ], + [ + 65029176, + 10083709 + ], + [ + 54973213, + 12411319 + ], + [ + 55531142, + 21809021 + ], + [ + 74395878, + 68684615 + ], + [ + 7570622, + 87580997 + ], + [ + 31605319, + 32766201 + ], + [ + 62284214, + 29661117 + ], + [ + 5804388, + 34102257 + ], + [ + 21173749, + 47202934 + ], + [ + 17578303, + 34568210 + ], + [ + 14315367, + 25006674 + ], + [ + 79822908, + 54143671 + ], + [ + 7161039, + 6658538 + ], + [ + 64498593, + 55089553 + ], + [ + 30772080, + 77751567 + ], + [ + 23417294, + 35646553 + ], + [ + 64429108, + 56610363 + ], + [ + 33674694, + 97557791 + ], + [ + 32482845, + 50048863 + ], + [ + 76024985, + 51588613 + ], + [ + 81675620, + 40724563 + ], + [ + 90351381, + 94116450 + ], + [ + 46621724, + 19024996 + ], + [ + 45524065, + 22765181 + ], + [ + 77184748, + 67704701 + ], + [ + 63999353, + 69551496 + ], + [ + 58663980, + 14959009 + ], + [ + 65038229, + 91491225 + ], + [ + 73516339, + 308975 + ], + [ + 59589127, + 65409353 + ], + [ + 81897686, + 80298492 + ], + [ + 57179512, + 85762840 + ], + [ + 30563044, + 50396296 + ], + [ + 56113639, + 92840622 + ], + [ + 75338773, + 49551941 + ], + [ + 68391067, + 75567725 + ], + [ + 55268615, + 3807381 + ], + [ + 60153610, + 11089951 + ], + [ + 16144877, + 67288936 + ], + [ + 29004369, + 68043353 + ], + [ + 64410778, + 51632113 + ], + [ + 43773559, + 95234616 + ], + [ + 77905368, + 64169023 + ], + [ + 93031082, + 73073641 + ], + [ + 75601806, + 13138106 + ], + [ + 4310007, + 54401336 + ], + [ + 13487140, + 59683687 + ], + [ + 70376382, + 59848972 + ], + [ + 35145227, + 51945375 + ], + [ + 58636734, + 89665421 + ], + [ + 25977841, + 18210961 + ], + [ + 13558128, + 26431732 + ], + [ + 47150801, + 96324512 + ], + [ + 92677373, + 4517921 + ], + [ + 65249172, + 11853084 + ], + [ + 12902944, + 76620123 + ], + [ + 95143091, + 35513127 + ], + [ + 81819194, + 95251038 + ], + [ + 80364511, + 73128969 + ], + [ + 70595465, + 76217152 + ], + [ + 769423, + 1673196 + ], + [ + 87921861, + 49546494 + ], + [ + 53642960, + 80642288 + ], + [ + 62525730, + 58789938 + ], + [ + 48922325, + 40011191 + ], + [ + 53244664, + 411065 + ], + [ + 14611243, + 74578960 + ], + [ + 63431231, + 20884771 + ], + [ + 87847670, + 13271551 + ], + [ + 31677760, + 67499459 + ], + [ + 65364999, + 13077161 + ], + [ + 54797241, + 61939059 + ], + [ + 27871008, + 28867487 + ], + [ + 8063956, + 69896369 + ], + [ + 59980523, + 27714404 + ], + [ + 13058016, + 81993375 + ], + [ + 48710845, + 3721142 + ], + [ + 85302534, + 7311969 + ], + [ + 54767425, + 99526354 + ], + [ + 7700473, + 4720301 + ], + [ + 32277748, + 50473931 + ], + [ + 19130720, + 37268549 + ], + [ + 55909947, + 69168771 + ], + [ + 67892127, + 38230963 + ], + [ + 4810401, + 40857888 + ], + [ + 67288350, + 85394358 + ], + [ + 31255901, + 11123183 + ], + [ + 17493266, + 61172573 + ], + [ + 20553032, + 58521935 + ], + [ + 20428707, + 18361922 + ], + [ + 2868412, + 47242095 + ], + [ + 84820334, + 65627670 + ], + [ + 38794010, + 60267367 + ], + [ + 88540737, + 70889962 + ], + [ + 73340504, + 65344371 + ], + [ + 27997291, + 16684068 + ], + [ + 72382650, + 62253774 + ], + [ + 35299319, + 63531832 + ], + [ + 28692015, + 46499368 + ], + [ + 93971081, + 31133967 + ], + [ + 93176074, + 47412485 + ], + [ + 46783950, + 50341043 + ], + [ + 82350819, + 82799781 + ], + [ + 5798664, + 68447942 + ], + [ + 74947187, + 47315111 + ], + [ + 41157099, + 25059804 + ], + [ + 65246196, + 1162367 + ], + [ + 44819675, + 60675374 + ], + [ + 25135528, + 551565 + ], + [ + 90127881, + 13400789 + ], + [ + 79930228, + 79941915 + ], + [ + 24697978, + 58900963 + ], + [ + 6149756, + 80877268 + ], + [ + 23647216, + 37107271 + ], + [ + 94879893, + 33140210 + ], + [ + 83534325, + 61916813 + ], + [ + 50693774, + 37135170 + ], + [ + 32769394, + 94704915 + ], + [ + 63900935, + 24704143 + ], + [ + 8244926, + 25716612 + ], + [ + 41559638, + 45004828 + ], + [ + 25594772, + 18254675 + ], + [ + 57977668, + 54121279 + ], + [ + 39888464, + 3747749 + ], + [ + 6129174, + 66757432 + ], + [ + 49327178, + 77062395 + ], + [ + 82199294, + 49220326 + ], + [ + 8486457, + 22501132 + ], + [ + 94401608, + 25761529 + ], + [ + 5639203, + 14556926 + ], + [ + 18042305, + 45963762 + ], + [ + 63586667, + 87478755 + ], + [ + 84534100, + 37417296 + ], + [ + 14510137, + 80826900 + ], + [ + 7613545, + 20556009 + ], + [ + 81045042, + 811849 + ], + [ + 86640136, + 42292760 + ], + [ + 14483881, + 49362645 + ], + [ + 67013064, + 22390156 + ], + [ + 40710145, + 77268249 + ], + [ + 80952056, + 88238291 + ], + [ + 29791410, + 18808923 + ], + [ + 41536264, + 70386472 + ], + [ + 91650439, + 61461495 + ], + [ + 47033610, + 52284317 + ], + [ + 34801393, + 30683864 + ], + [ + 1053180, + 82204838 + ], + [ + 15934271, + 25065633 + ], + [ + 75426055, + 36756522 + ], + [ + 73679911, + 32826747 + ], + [ + 44018942, + 52331328 + ], + [ + 40847011, + 47204870 + ], + [ + 90419687, + 30138845 + ], + [ + 11458631, + 55680262 + ], + [ + 59522601, + 29005161 + ], + [ + 81484929, + 59480932 + ], + [ + 76184473, + 69273263 + ], + [ + 26746763, + 24647695 + ], + [ + 28808142, + 11189883 + ], + [ + 35639769, + 72601371 + ], + [ + 93115965, + 28413289 + ], + [ + 53733432, + 52344627 + ], + [ + 11619004, + 34081119 + ], + [ + 75837576, + 15133651 + ], + [ + 47361538, + 65889 + ], + [ + 10494574, + 31348162 + ], + [ + 96507248, + 97501983 + ], + [ + 50650890, + 48294250 + ], + [ + 35375369, + 47330783 + ], + [ + 36096564, + 21476868 + ], + [ + 21815956, + 62807730 + ], + [ + 30365798, + 51162782 + ], + [ + 71157610, + 39209829 + ], + [ + 52195101, + 28873437 + ], + [ + 50794441, + 97041756 + ], + [ + 88117890, + 15167194 + ], + [ + 16113936, + 63937913 + ], + [ + 64615939, + 84027553 + ], + [ + 56954790, + 74196982 + ], + [ + 56220996, + 39777892 + ], + [ + 2433657, + 25804191 + ], + [ + 47962273, + 38413091 + ], + [ + 48624500, + 6254657 + ], + [ + 70614370, + 51230457 + ], + [ + 11456702, + 15098465 + ], + [ + 71162761, + 22757709 + ], + [ + 79024269, + 94256009 + ], + [ + 3933927, + 62996700 + ], + [ + 79292382, + 88390107 + ], + [ + 48143628, + 35547589 + ], + [ + 24398185, + 61812472 + ], + [ + 57180192, + 2130076 + ], + [ + 32036330, + 48371670 + ], + [ + 45246347, + 88686261 + ], + [ + 8625931, + 37471829 + ], + [ + 80259131, + 23385524 + ], + [ + 13318756, + 58718607 + ], + [ + 36067742, + 38633243 + ], + [ + 59800412, + 10135812 + ], + [ + 66684368, + 45134863 + ], + [ + 76580364, + 47583323 + ], + [ + 25571389, + 63072973 + ], + [ + 71911268, + 61472843 + ], + [ + 38719495, + 97096421 + ], + [ + 82848508, + 15386580 + ], + [ + 67242401, + 37625859 + ], + [ + 44935643, + 4795332 + ], + [ + 60602284, + 136853 + ], + [ + 13154552, + 72019597 + ], + [ + 96098983, + 39335585 + ], + [ + 90291942, + 33313323 + ], + [ + 34392203, + 38605041 + ], + [ + 76013008, + 52264700 + ], + [ + 73364908, + 3321279 + ], + [ + 19297857, + 82613606 + ], + [ + 20354854, + 16308025 + ], + [ + 32231361, + 73627734 + ], + [ + 54551652, + 16818001 + ], + [ + 45202293, + 81681665 + ], + [ + 80221850, + 50864121 + ], + [ + 95999710, + 69968424 + ], + [ + 40028841, + 54689731 + ], + [ + 65283326, + 21005089 + ], + [ + 3340623, + 49503687 + ], + [ + 60749521, + 27384437 + ], + [ + 63779067, + 73470066 + ], + [ + 56205887, + 97700077 + ], + [ + 58375824, + 49775076 + ], + [ + 68487350, + 9674420 + ], + [ + 19122623, + 43894657 + ], + [ + 64362783, + 28718301 + ], + [ + 87217716, + 66382045 + ], + [ + 27179486, + 60745404 + ], + [ + 97248234, + 27646444 + ], + [ + 71747514, + 2265804 + ], + [ + 58724726, + 58793026 + ], + [ + 94272220, + 34643968 + ], + [ + 51924192, + 23216276 + ], + [ + 68329999, + 52356677 + ], + [ + 28205215, + 57415589 + ], + [ + 49778249, + 25580547 + ], + [ + 46032247, + 68191791 + ], + [ + 22909696, + 84987573 + ], + [ + 39517767, + 66855961 + ], + [ + 43756126, + 29739945 + ], + [ + 43929738, + 51844641 + ], + [ + 77653087, + 38249614 + ], + [ + 96125240, + 13615361 + ], + [ + 34896370, + 67262984 + ], + [ + 14532101, + 32974662 + ], + [ + 43983815, + 36857392 + ], + [ + 65307918, + 80671824 + ], + [ + 21846230, + 6356233 + ], + [ + 76106926, + 56626030 + ], + [ + 85840942, + 83161415 + ], + [ + 31308550, + 67387437 + ], + [ + 55805999, + 42088047 + ], + [ + 20752705, + 87453795 + ], + [ + 30535359, + 93188693 + ], + [ + 79805534, + 98245518 + ], + [ + 85677093, + 40896839 + ], + [ + 90108178, + 56991821 + ], + [ + 2930041, + 92308285 + ], + [ + 809578, + 49791437 + ], + [ + 41462124, + 19104239 + ], + [ + 5137977, + 20550112 + ], + [ + 17694742, + 99476515 + ], + [ + 74912688, + 9648945 + ], + [ + 87628601, + 87567782 + ], + [ + 99247644, + 86488047 + ], + [ + 47984160, + 31101570 + ], + [ + 51895764, + 42021161 + ], + [ + 83545953, + 72408299 + ], + [ + 94118633, + 91903269 + ], + [ + 73095322, + 4173879 + ], + [ + 97836337, + 14353067 + ], + [ + 3703322, + 18728530 + ], + [ + 20638401, + 43725719 + ], + [ + 34272345, + 72698847 + ], + [ + 23478015, + 23713256 + ], + [ + 54065895, + 95128590 + ], + [ + 62077618, + 43899351 + ], + [ + 26428163, + 49386934 + ], + [ + 17008153, + 22645740 + ], + [ + 12481680, + 90734795 + ], + [ + 87570693, + 96242684 + ], + [ + 16423689, + 61803350 + ], + [ + 34056365, + 59765618 + ], + [ + 5745106, + 28274445 + ], + [ + 8362645, + 68033199 + ], + [ + 41086781, + 40902648 + ], + [ + 67074688, + 31003533 + ], + [ + 20079966, + 39835821 + ], + [ + 40414230, + 44057454 + ], + [ + 58930622, + 40651159 + ], + [ + 38924024, + 136438 + ], + [ + 50694735, + 38752889 + ], + [ + 98962421, + 65835058 + ], + [ + 64651969, + 49215746 + ], + [ + 82301091, + 89687164 + ], + [ + 7549954, + 57486928 + ], + [ + 97503095, + 31963447 + ], + [ + 12409611, + 34189983 + ], + [ + 19081402, + 96991363 + ], + [ + 45487732, + 51037962 + ], + [ + 7013230, + 1000250 + ], + [ + 17883431, + 24883690 + ], + [ + 21123825, + 40811417 + ], + [ + 23824280, + 25716430 + ], + [ + 91550442, + 83959458 + ], + [ + 20456938, + 22571296 + ], + [ + 56605344, + 24296444 + ], + [ + 4214964, + 91707102 + ], + [ + 10268891, + 1069290 + ], + [ + 89898336, + 64522748 + ], + [ + 939125, + 20038846 + ], + [ + 26359410, + 82330759 + ], + [ + 87678479, + 55324062 + ], + [ + 83835387, + 99472328 + ], + [ + 80205266, + 43043358 + ], + [ + 27278175, + 40082358 + ], + [ + 31553219, + 7123921 + ], + [ + 87220225, + 54353503 + ], + [ + 49173045, + 54442522 + ], + [ + 36849563, + 82461711 + ], + [ + 25385054, + 87593823 + ], + [ + 73963763, + 7808571 + ], + [ + 31217274, + 6454998 + ], + [ + 92286605, + 29698540 + ], + [ + 21482243, + 6662004 + ], + [ + 72994709, + 3389282 + ], + [ + 54423796, + 22902821 + ], + [ + 71704896, + 79500404 + ], + [ + 93618412, + 32395802 + ], + [ + 50622747, + 60624975 + ], + [ + 56357031, + 35601050 + ], + [ + 36030289, + 64116180 + ], + [ + 85834701, + 32688126 + ], + [ + 9048599, + 4498376 + ], + [ + 13458020, + 22479369 + ], + [ + 79719662, + 73455611 + ], + [ + 96502324, + 41822789 + ], + [ + 66903265, + 39133796 + ], + [ + 45187171, + 69549902 + ], + [ + 55092744, + 63888176 + ], + [ + 82218125, + 33030464 + ], + [ + 56594741, + 9628180 + ], + [ + 15487966, + 4240826 + ], + [ + 43258234, + 44761915 + ], + [ + 23182435, + 82748643 + ], + [ + 33126162, + 81281875 + ], + [ + 68378212, + 57058247 + ], + [ + 9409431, + 14332646 + ], + [ + 66608230, + 41118390 + ], + [ + 45239836, + 12397925 + ], + [ + 39324538, + 66781229 + ], + [ + 46340974, + 96820893 + ], + [ + 90787244, + 9733791 + ], + [ + 31867462, + 86113524 + ], + [ + 19612513, + 2483913 + ], + [ + 58438162, + 8229127 + ], + [ + 3639160, + 57551555 + ], + [ + 4142639, + 42613847 + ], + [ + 13595306, + 37396716 + ], + [ + 80888423, + 22303952 + ], + [ + 42933186, + 92396035 + ], + [ + 72271558, + 48048933 + ], + [ + 90489318, + 31870718 + ], + [ + 1685039, + 94439150 + ], + [ + 66846925, + 65352899 + ], + [ + 16346620, + 60178391 + ], + [ + 5889673, + 43017551 + ], + [ + 77683774, + 9783148 + ], + [ + 72000978, + 25595576 + ], + [ + 30807740, + 39235680 + ], + [ + 22662392, + 31600289 + ], + [ + 56697720, + 17529759 + ], + [ + 80364577, + 58486645 + ], + [ + 12179917, + 26593959 + ], + [ + 34012443, + 28292151 + ], + [ + 30508249, + 7578438 + ], + [ + 68634174, + 77736207 + ], + [ + 48995881, + 49467100 + ], + [ + 99239669, + 10194101 + ], + [ + 37993670, + 60850626 + ], + [ + 79452816, + 48083225 + ], + [ + 35751749, + 58274262 + ], + [ + 57819293, + 98329203 + ], + [ + 35612537, + 26801633 + ], + [ + 76890790, + 21798069 + ], + [ + 60124680, + 11348898 + ], + [ + 7590267, + 28379033 + ], + [ + 97365110, + 50346527 + ], + [ + 55532879, + 39504351 + ], + [ + 17342319, + 65359018 + ], + [ + 29819897, + 69054167 + ], + [ + 98379373, + 54606991 + ], + [ + 56014452, + 11604241 + ], + [ + 54958017, + 76373019 + ], + [ + 4575065, + 73456723 + ], + [ + 63993398, + 30309341 + ], + [ + 29380781, + 85320843 + ], + [ + 4296310, + 15004317 + ], + [ + 24276591, + 13643535 + ], + [ + 90735488, + 22963810 + ], + [ + 74298498, + 43272037 + ], + [ + 49175611, + 15091522 + ], + [ + 54423315, + 1034744 + ], + [ + 70560564, + 17184814 + ], + [ + 44089346, + 79868668 + ], + [ + 58490255, + 19010097 + ], + [ + 30199723, + 65685697 + ], + [ + 46331817, + 84349548 + ], + [ + 34688753, + 3482960 + ], + [ + 99123218, + 47474486 + ], + [ + 72870203, + 20681456 + ], + [ + 76341423, + 8376840 + ], + [ + 62949798, + 48318062 + ], + [ + 37659401, + 35610429 + ], + [ + 41023225, + 25730962 + ], + [ + 68932685, + 96376677 + ], + [ + 40618984, + 47250459 + ], + [ + 79949634, + 82234024 + ], + [ + 43843867, + 89878361 + ], + [ + 71099960, + 81357259 + ], + [ + 8136058, + 58572747 + ], + [ + 14772772, + 67633818 + ], + [ + 7505284, + 82295717 + ], + [ + 82114907, + 11727234 + ], + [ + 23268292, + 12790983 + ], + [ + 30483966, + 65541425 + ], + [ + 12905751, + 46833742 + ], + [ + 31761383, + 12690159 + ], + [ + 47836106, + 53509352 + ], + [ + 7088537, + 39671022 + ], + [ + 82659646, + 60197726 + ], + [ + 9139492, + 11003390 + ], + [ + 12896632, + 53864562 + ], + [ + 63684100, + 25141478 + ], + [ + 38245798, + 64100206 + ], + [ + 14419574, + 80187198 + ], + [ + 15772895, + 84371361 + ], + [ + 93739939, + 62495375 + ], + [ + 2613261, + 34142701 + ], + [ + 51440899, + 61180864 + ], + [ + 60721835, + 50748795 + ], + [ + 27568268, + 39907963 + ], + [ + 60630302, + 41513382 + ], + [ + 58523722, + 79343443 + ], + [ + 99158200, + 61750129 + ], + [ + 5574451, + 61464850 + ], + [ + 22991264, + 41894222 + ], + [ + 94413230, + 28085456 + ], + [ + 175480, + 92705082 + ], + [ + 55692444, + 15474032 + ], + [ + 2390583, + 19056637 + ], + [ + 45555611, + 58999150 + ], + [ + 21095085, + 8702013 + ], + [ + 58920386, + 17034755 + ], + [ + 72142295, + 43481831 + ], + [ + 20491775, + 23693770 + ], + [ + 64127643, + 89953417 + ], + [ + 3458604, + 48162795 + ], + [ + 52160834, + 57240992 + ], + [ + 79545869, + 44607646 + ], + [ + 83798399, + 69262415 + ], + [ + 33137367, + 88620610 + ], + [ + 240383, + 60841504 + ], + [ + 33926906, + 85630898 + ], + [ + 88005709, + 54625290 + ], + [ + 5101315, + 13591392 + ], + [ + 83645320, + 42241482 + ], + [ + 2074371, + 18426238 + ], + [ + 542142, + 19258188 + ], + [ + 60720092, + 85607864 + ], + [ + 43860782, + 75331180 + ], + [ + 51744181, + 20196541 + ], + [ + 93386781, + 81042122 + ], + [ + 20496370, + 40884281 + ], + [ + 22430138, + 71435980 + ], + [ + 70574032, + 51822555 + ], + [ + 22034938, + 82141276 + ], + [ + 61809847, + 13142525 + ], + [ + 69185221, + 15935416 + ], + [ + 22091874, + 43932125 + ], + [ + 58889930, + 47518544 + ], + [ + 72306602, + 18311973 + ], + [ + 87670786, + 32563681 + ], + [ + 26468429, + 52880295 + ], + [ + 88518198, + 61049993 + ], + [ + 97654559, + 20964462 + ], + [ + 15415693, + 63607133 + ], + [ + 55834506, + 49068416 + ], + [ + 76990542, + 27525408 + ], + [ + 46238188, + 45133631 + ], + [ + 34254963, + 54661074 + ], + [ + 55482273, + 60478652 + ], + [ + 72187785, + 1992611 + ], + [ + 84912638, + 5035804 + ], + [ + 65089462, + 47619753 + ], + [ + 77244954, + 76653235 + ], + [ + 27594319, + 63089347 + ], + [ + 19076032, + 55277885 + ], + [ + 20554176, + 63443443 + ], + [ + 73051928, + 70978122 + ], + [ + 7794478, + 33007656 + ], + [ + 79449259, + 3130998 + ], + [ + 28699314, + 62368518 + ], + [ + 68336774, + 52752231 + ], + [ + 659601, + 14228792 + ], + [ + 30465392, + 84698171 + ], + [ + 72848461, + 32791231 + ], + [ + 34318306, + 19052160 + ], + [ + 52326589, + 7098430 + ], + [ + 21242920, + 8977906 + ], + [ + 6607351, + 61171355 + ], + [ + 12166378, + 39544559 + ], + [ + 32470365, + 49763219 + ], + [ + 77918158, + 44757053 + ], + [ + 70999954, + 24467303 + ], + [ + 18448110, + 19473898 + ], + [ + 31961575, + 77933391 + ], + [ + 54162976, + 10793755 + ], + [ + 33161916, + 33605054 + ], + [ + 53407070, + 51452923 + ], + [ + 75403987, + 5550030 + ], + [ + 54033519, + 21626602 + ], + [ + 65996640, + 72279423 + ], + [ + 61247843, + 85632028 + ], + [ + 70978127, + 48842696 + ], + [ + 88026356, + 11718862 + ], + [ + 45869896, + 9473157 + ], + [ + 70031843, + 56425552 + ], + [ + 52099787, + 66493383 + ], + [ + 54712144, + 39762718 + ], + [ + 70666763, + 80895191 + ], + [ + 85996894, + 48753175 + ], + [ + 22703749, + 61075664 + ], + [ + 94479870, + 95018483 + ], + [ + 92741018, + 46464316 + ], + [ + 29028635, + 94092789 + ], + [ + 47038790, + 98546459 + ], + [ + 2113121, + 81392552 + ], + [ + 3656443, + 48728726 + ], + [ + 8744268, + 28969798 + ], + [ + 11074188, + 92656299 + ], + [ + 13509239, + 21095269 + ], + [ + 75597097, + 35009658 + ], + [ + 50825834, + 63148953 + ], + [ + 58705940, + 34551636 + ], + [ + 32932318, + 69216295 + ], + [ + 1893034, + 96113560 + ], + [ + 79013233, + 24709921 + ], + [ + 14827691, + 52280288 + ], + [ + 44508378, + 97399153 + ], + [ + 739900, + 41320822 + ], + [ + 42327156, + 85199935 + ], + [ + 4992164, + 39895560 + ], + [ + 44839448, + 9076156 + ], + [ + 9632204, + 56999956 + ], + [ + 1132018, + 72286906 + ], + [ + 6434795, + 81317812 + ], + [ + 62858345, + 84937973 + ], + [ + 1422499, + 6491318 + ], + [ + 35756600, + 12361649 + ], + [ + 59095596, + 60000999 + ], + [ + 26380234, + 19810448 + ], + [ + 20254994, + 31320817 + ], + [ + 87068175, + 47421275 + ], + [ + 40086476, + 47854128 + ], + [ + 59859957, + 2426242 + ], + [ + 23761208, + 29667183 + ], + [ + 73253340, + 55192803 + ], + [ + 61580752, + 72759919 + ], + [ + 86411014, + 57335694 + ], + [ + 9611043, + 94316805 + ], + [ + 44742157, + 28138961 + ], + [ + 21234066, + 23460441 + ], + [ + 45897553, + 37831696 + ], + [ + 53014537, + 96204005 + ], + [ + 96136122, + 7017179 + ], + [ + 73867345, + 95285497 + ], + [ + 44057069, + 76032212 + ], + [ + 46548199, + 19757368 + ], + [ + 94284580, + 37941144 + ], + [ + 22489500, + 12642112 + ], + [ + 38664420, + 47507939 + ], + [ + 34063319, + 2592366 + ], + [ + 94778190, + 86476368 + ], + [ + 30542961, + 86837014 + ], + [ + 96216098, + 89951058 + ], + [ + 79609967, + 74646916 + ], + [ + 91808428, + 78970299 + ], + [ + 6078023, + 79626760 + ], + [ + 82937535, + 81922688 + ], + [ + 7346000, + 7952046 + ], + [ + 85009603, + 8967034 + ], + [ + 23262433, + 57416510 + ], + [ + 36690306, + 57319331 + ], + [ + 67597133, + 85367521 + ], + [ + 99213256, + 74849738 + ], + [ + 86850365, + 48328653 + ], + [ + 55969701, + 5396387 + ], + [ + 45631484, + 24990752 + ], + [ + 75653829, + 79608060 + ], + [ + 88865, + 18599064 + ], + [ + 34352800, + 60082822 + ], + [ + 36308570, + 50883093 + ], + [ + 64838109, + 47947346 + ], + [ + 51119111, + 96881161 + ], + [ + 39471460, + 45519760 + ], + [ + 16631625, + 95322309 + ], + [ + 94512946, + 29306197 + ], + [ + 29273219, + 50521401 + ], + [ + 18661018, + 46160331 + ], + [ + 27764680, + 51075500 + ], + [ + 86709328, + 94110842 + ], + [ + 16477612, + 78694316 + ], + [ + 71924332, + 19900366 + ], + [ + 52488788, + 57451601 + ], + [ + 73562602, + 50373550 + ], + [ + 23929939, + 47261916 + ], + [ + 42796927, + 97538039 + ], + [ + 58262291, + 30719158 + ], + [ + 72212361, + 58849477 + ], + [ + 75839682, + 47134633 + ], + [ + 99289437, + 99042508 + ], + [ + 42400955, + 87388661 + ], + [ + 95058949, + 81430597 + ], + [ + 95905316, + 597739 + ], + [ + 67838049, + 22968884 + ], + [ + 12851438, + 24363948 + ], + [ + 76410918, + 20308551 + ], + [ + 42161464, + 90193170 + ], + [ + 63036250, + 15028715 + ], + [ + 28745687, + 38661999 + ], + [ + 54870118, + 82142766 + ], + [ + 92354007, + 87161407 + ], + [ + 7616358, + 36152836 + ], + [ + 34164622, + 94581470 + ], + [ + 3079933, + 65036678 + ], + [ + 61230459, + 18106732 + ], + [ + 20180830, + 34415866 + ], + [ + 93264707, + 13152367 + ], + [ + 81338573, + 99452099 + ], + [ + 4779305, + 15469300 + ], + [ + 87086752, + 31626 + ], + [ + 17254734, + 48772004 + ], + [ + 93604047, + 48347450 + ], + [ + 79241565, + 96445100 + ], + [ + 94992774, + 22805729 + ], + [ + 7451316, + 88109539 + ], + [ + 19240197, + 25336565 + ], + [ + 60942572, + 31731796 + ], + [ + 43931760, + 96416036 + ], + [ + 75271998, + 11932937 + ], + [ + 47186317, + 79561279 + ], + [ + 46765458, + 89327836 + ], + [ + 31371109, + 95611360 + ], + [ + 71566559, + 40952833 + ], + [ + 78324233, + 56565905 + ], + [ + 93217386, + 25992362 + ], + [ + 23686652, + 30311946 + ], + [ + 56442368, + 85533437 + ], + [ + 14152302, + 62256110 + ], + [ + 87496585, + 3217282 + ], + [ + 90246085, + 92557425 + ], + [ + 98061238, + 25215672 + ], + [ + 72376007, + 14247688 + ], + [ + 18802432, + 63077787 + ], + [ + 84864677, + 61591232 + ], + [ + 37555792, + 57765798 + ], + [ + 79257418, + 63576137 + ], + [ + 39563168, + 15877194 + ], + [ + 88183923, + 15516310 + ], + [ + 92617496, + 68493103 + ], + [ + 8042801, + 25289295 + ], + [ + 96007950, + 9706659 + ], + [ + 13849091, + 13494036 + ], + [ + 74897786, + 12756248 + ], + [ + 86419851, + 32669634 + ], + [ + 72442172, + 48529302 + ], + [ + 51683412, + 21644041 + ], + [ + 33872070, + 79723607 + ], + [ + 44550237, + 28630584 + ], + [ + 41097181, + 8905596 + ], + [ + 1124080, + 98872739 + ], + [ + 61423, + 14469665 + ], + [ + 47483794, + 37432202 + ], + [ + 38152496, + 35118660 + ], + [ + 1667583, + 89939339 + ], + [ + 14603442, + 94300545 + ], + [ + 14260244, + 50927622 + ], + [ + 99285941, + 11097966 + ], + [ + 60047204, + 15704452 + ], + [ + 99038420, + 55547487 + ], + [ + 78109044, + 31799481 + ], + [ + 75624984, + 30054089 + ], + [ + 52495399, + 26031034 + ], + [ + 20108676, + 47054521 + ], + [ + 59130216, + 76102196 + ], + [ + 55513351, + 19662647 + ], + [ + 88718004, + 63681089 + ], + [ + 44126869, + 44011814 + ], + [ + 83762458, + 95131066 + ], + [ + 30320639, + 24275753 + ], + [ + 92382144, + 85196468 + ], + [ + 52889507, + 44249735 + ], + [ + 56110938, + 41055617 + ], + [ + 13896217, + 77819575 + ], + [ + 23370934, + 50205575 + ], + [ + 92907582, + 87267619 + ], + [ + 3460303, + 45361481 + ], + [ + 99914939, + 39326549 + ], + [ + 32850696, + 58136320 + ], + [ + 87766679, + 3887588 + ], + [ + 68007431, + 89649746 + ], + [ + 45592910, + 51239117 + ], + [ + 67492709, + 71325530 + ], + [ + 76658376, + 63216307 + ], + [ + 77521974, + 30299359 + ], + [ + 72381744, + 67931769 + ], + [ + 4621135, + 54462189 + ], + [ + 64295415, + 90308066 + ], + [ + 44801326, + 75858038 + ], + [ + 12024161, + 4062086 + ], + [ + 82146464, + 49335099 + ], + [ + 85715120, + 19588079 + ], + [ + 21938255, + 97265445 + ], + [ + 88089691, + 99282806 + ], + [ + 2558399, + 6176533 + ], + [ + 67254788, + 68973882 + ], + [ + 46539780, + 67026008 + ], + [ + 88401250, + 56132993 + ], + [ + 59155233, + 51954865 + ], + [ + 22534406, + 77166687 + ], + [ + 94721666, + 39946302 + ], + [ + 63658510, + 99455204 + ], + [ + 21118264, + 18823571 + ], + [ + 92941158, + 82104535 + ], + [ + 34562499, + 60753816 + ], + [ + 15636466, + 25934856 + ], + [ + 55420245, + 50576917 + ], + [ + 49691840, + 37342206 + ], + [ + 9441213, + 36025684 + ], + [ + 96748867, + 24289126 + ], + [ + 15210220, + 12755739 + ], + [ + 90278117, + 5598756 + ], + [ + 92555132, + 4414731 + ], + [ + 3416339, + 65636132 + ], + [ + 88300274, + 70635240 + ], + [ + 68080553, + 63403691 + ], + [ + 14679159, + 18547883 + ], + [ + 4353791, + 53693195 + ], + [ + 74971646, + 16185433 + ], + [ + 3647971, + 19571790 + ], + [ + 43348380, + 43256126 + ], + [ + 38806161, + 67667867 + ], + [ + 7963454, + 10222188 + ], + [ + 93039230, + 92561245 + ], + [ + 51590761, + 69936590 + ], + [ + 55661796, + 20993834 + ], + [ + 48224257, + 20460741 + ], + [ + 43877188, + 98865482 + ], + [ + 81325757, + 57107229 + ], + [ + 39811601, + 56065257 + ], + [ + 11458288, + 36437440 + ], + [ + 47235495, + 77531341 + ], + [ + 48762029, + 16528480 + ], + [ + 61400131, + 2281855 + ], + [ + 1169737, + 68061481 + ], + [ + 93719237, + 21260062 + ], + [ + 71944726, + 15088894 + ], + [ + 54685137, + 15661111 + ], + [ + 80024764, + 91014368 + ], + [ + 57795482, + 94313049 + ], + [ + 56785569, + 54512756 + ], + [ + 56444784, + 80006574 + ], + [ + 48113152, + 58698044 + ], + [ + 31543532, + 52319595 + ], + [ + 26553757, + 71955705 + ], + [ + 11335879, + 94193753 + ], + [ + 81012587, + 52640039 + ], + [ + 68342816, + 82868534 + ], + [ + 93315828, + 87902309 + ], + [ + 83543506, + 42081654 + ], + [ + 44782410, + 58834604 + ], + [ + 48810572, + 75581824 + ], + [ + 86808186, + 74269186 + ], + [ + 8953964, + 36212729 + ], + [ + 24555177, + 50362769 + ], + [ + 28923049, + 84367601 + ], + [ + 64785614, + 15112913 + ], + [ + 98898660, + 10728818 + ], + [ + 39580410, + 19617497 + ], + [ + 77426845, + 18378819 + ], + [ + 94223631, + 93718388 + ], + [ + 45893230, + 24159267 + ], + [ + 17637336, + 98555393 + ], + [ + 21280827, + 58703850 + ], + [ + 42149866, + 57773838 + ], + [ + 23662311, + 42048100 + ], + [ + 94151977, + 1426444 + ], + [ + 91987282, + 59812714 + ], + [ + 4921568, + 59581157 + ], + [ + 77298676, + 24033743 + ], + [ + 97462642, + 85854625 + ], + [ + 55057904, + 24405533 + ], + [ + 18581858, + 75562536 + ], + [ + 36214704, + 65385606 + ], + [ + 834337, + 68696520 + ], + [ + 20725441, + 47281708 + ], + [ + 14685708, + 1693784 + ], + [ + 38098930, + 51460752 + ], + [ + 57216654, + 14873311 + ], + [ + 331276, + 15795317 + ], + [ + 32336631, + 44109200 + ], + [ + 15413817, + 34203421 + ], + [ + 21960001, + 93254154 + ], + [ + 4701033, + 36869905 + ], + [ + 87098873, + 46099912 + ], + [ + 25276918, + 11353847 + ], + [ + 76352363, + 27404744 + ], + [ + 66334763, + 26575623 + ], + [ + 8105478, + 43914255 + ], + [ + 69303962, + 2594189 + ], + [ + 38650274, + 99917074 + ], + [ + 41316302, + 97739368 + ], + [ + 86691356, + 57991935 + ], + [ + 75048742, + 11166236 + ], + [ + 94537505, + 17675601 + ], + [ + 69390202, + 25042714 + ], + [ + 50027731, + 26471666 + ], + [ + 63810984, + 96293348 + ], + [ + 9511765, + 79256099 + ], + [ + 80873484, + 1998014 + ], + [ + 58513034, + 32031782 + ], + [ + 14312901, + 14952352 + ], + [ + 48913408, + 89459946 + ], + [ + 85527048, + 17016791 + ], + [ + 85336864, + 57191215 + ], + [ + 62355917, + 95687652 + ], + [ + 4474411, + 29569278 + ], + [ + 63208766, + 45344889 + ], + [ + 47363901, + 49111511 + ], + [ + 79564550, + 65700437 + ], + [ + 82722141, + 31427643 + ], + [ + 94138540, + 86255497 + ], + [ + 27427988, + 96623726 + ], + [ + 85682122, + 99230932 + ], + [ + 63479733, + 41883932 + ], + [ + 24060349, + 92600242 + ], + [ + 16205704, + 73781894 + ], + [ + 12679367, + 88783330 + ], + [ + 91915965, + 3343714 + ], + [ + 59515420, + 82390096 + ], + [ + 74586779, + 88699003 + ], + [ + 99107347, + 69289592 + ], + [ + 20185057, + 62250415 + ], + [ + 66066051, + 72957082 + ], + [ + 90623695, + 49640072 + ], + [ + 53066753, + 14720179 + ], + [ + 78982590, + 56151839 + ], + [ + 90577812, + 57016725 + ], + [ + 90731751, + 99764558 + ], + [ + 60024239, + 13470232 + ], + [ + 63153966, + 73473620 + ], + [ + 17884199, + 79917410 + ], + [ + 80649819, + 28042420 + ], + [ + 59870566, + 29168013 + ], + [ + 18653643, + 44861045 + ], + [ + 58159707, + 15908417 + ], + [ + 8902337, + 53032910 + ], + [ + 96715718, + 47718886 + ], + [ + 38388094, + 48964169 + ], + [ + 23023402, + 95316192 + ], + [ + 3062631, + 37129784 + ], + [ + 47439863, + 49851138 + ], + [ + 5338759, + 34778147 + ], + [ + 26769280, + 63619482 + ], + [ + 82461032, + 34066266 + ], + [ + 58937710, + 34425885 + ], + [ + 79662974, + 49437161 + ], + [ + 46488687, + 2731692 + ], + [ + 36036813, + 12562475 + ], + [ + 56627132, + 37419762 + ], + [ + 27713583, + 11094709 + ], + [ + 28623307, + 93122593 + ], + [ + 42154328, + 96573265 + ], + [ + 25169475, + 49130656 + ], + [ + 66057331, + 77198235 + ], + [ + 45516911, + 22671331 + ], + [ + 65907545, + 17858985 + ], + [ + 53104319, + 20385269 + ], + [ + 72669872, + 53145269 + ], + [ + 3959172, + 10974275 + ], + [ + 40440797, + 38693597 + ], + [ + 20129943, + 61387953 + ], + [ + 85329850, + 1588232 + ], + [ + 64758139, + 98729410 + ], + [ + 5836978, + 38783729 + ], + [ + 86095767, + 47607945 + ], + [ + 86011921, + 84559185 + ], + [ + 55022381, + 34912527 + ], + [ + 14464331, + 72675542 + ], + [ + 49268256, + 94179051 + ], + [ + 30850235, + 72542605 + ], + [ + 95179932, + 19780545 + ], + [ + 33798442, + 99395467 + ], + [ + 62276447, + 83934550 + ], + [ + 35565941, + 22221955 + ], + [ + 57248654, + 28719622 + ], + [ + 55002111, + 82595486 + ], + [ + 10462043, + 80915106 + ], + [ + 50236244, + 60997672 + ], + [ + 10626353, + 36154413 + ], + [ + 96779344, + 74550991 + ], + [ + 50234971, + 82709691 + ], + [ + 44637403, + 30595731 + ], + [ + 60364877, + 17057374 + ], + [ + 12967034, + 81471006 + ], + [ + 62590353, + 89903905 + ], + [ + 47588386, + 62363027 + ], + [ + 57927483, + 57046437 + ], + [ + 31640799, + 30401743 + ], + [ + 27072397, + 11419251 + ], + [ + 57508825, + 60275928 + ], + [ + 64852781, + 35012053 + ], + [ + 7407528, + 98150425 + ], + [ + 34341458, + 51379826 + ], + [ + 72618970, + 94458347 + ], + [ + 19538017, + 22504319 + ], + [ + 3833099, + 37282766 + ], + [ + 71325392, + 20812229 + ], + [ + 86658340, + 5372543 + ], + [ + 57701132, + 70375410 + ], + [ + 75344552, + 36997965 + ], + [ + 37329153, + 55516983 + ], + [ + 26504579, + 20480864 + ], + [ + 77746061, + 44993113 + ], + [ + 6254200, + 21473054 + ], + [ + 48046453, + 3277912 + ], + [ + 34365923, + 52409027 + ], + [ + 14161755, + 31694221 + ], + [ + 85780247, + 65136896 + ], + [ + 14084207, + 90033819 + ], + [ + 88184898, + 78545313 + ], + [ + 84878481, + 22548798 + ], + [ + 44598526, + 67277408 + ], + [ + 69993083, + 91567253 + ], + [ + 87356744, + 96692339 + ], + [ + 54689004, + 4409941 + ], + [ + 42922910, + 68547762 + ], + [ + 99140807, + 65557058 + ], + [ + 2179160, + 66653713 + ], + [ + 91678144, + 26920015 + ], + [ + 46140358, + 57612932 + ], + [ + 67740383, + 40033790 + ], + [ + 16103184, + 69838690 + ], + [ + 5373808, + 63644956 + ], + [ + 19381117, + 27363834 + ], + [ + 98268694, + 67248376 + ], + [ + 3246853, + 40252773 + ], + [ + 56368363, + 2017559 + ], + [ + 4364838, + 92939246 + ], + [ + 36715156, + 14230572 + ], + [ + 76548369, + 29531932 + ], + [ + 3361665, + 5466141 + ], + [ + 40339553, + 85518834 + ], + [ + 84958562, + 96348826 + ], + [ + 86147010, + 97712598 + ], + [ + 63549542, + 9178713 + ], + [ + 15102815, + 41593655 + ], + [ + 63121174, + 54864705 + ], + [ + 2941987, + 10061729 + ], + [ + 65146306, + 15371600 + ], + [ + 98704643, + 78174884 + ], + [ + 97249074, + 39959467 + ], + [ + 25543257, + 73949805 + ], + [ + 52929873, + 82832928 + ], + [ + 38185214, + 86695304 + ], + [ + 61369516, + 88026909 + ], + [ + 32513674, + 25718750 + ], + [ + 30451338, + 36723494 + ], + [ + 45843701, + 54597355 + ], + [ + 44973061, + 33277512 + ], + [ + 25676840, + 79752100 + ], + [ + 25184804, + 94645064 + ], + [ + 44630038, + 14462098 + ], + [ + 22624862, + 26304535 + ], + [ + 71623809, + 58188036 + ], + [ + 63920882, + 74947973 + ], + [ + 16135030, + 2511499 + ], + [ + 29552644, + 90180050 + ], + [ + 91611455, + 83256923 + ], + [ + 33599337, + 84201661 + ], + [ + 47131694, + 77237932 + ], + [ + 16695261, + 22397828 + ], + [ + 50731615, + 34619357 + ], + [ + 54642039, + 68542491 + ], + [ + 79301055, + 4518836 + ], + [ + 80822669, + 16813786 + ], + [ + 59774089, + 17523336 + ], + [ + 40286175, + 84163236 + ], + [ + 57789689, + 41276253 + ], + [ + 96158944, + 14987594 + ], + [ + 73451609, + 64380778 + ], + [ + 51407567, + 23529400 + ], + [ + 72506736, + 54552276 + ], + [ + 80868670, + 69286779 + ], + [ + 28187580, + 66992457 + ], + [ + 53665079, + 47966168 + ], + [ + 43389039, + 54229651 + ], + [ + 88234404, + 89489967 + ], + [ + 36533085, + 95755168 + ], + [ + 24550258, + 84240524 + ], + [ + 83617312, + 53760240 + ], + [ + 49702330, + 68009521 + ], + [ + 70784805, + 97621267 + ], + [ + 20976370, + 57389547 + ], + [ + 36067367, + 43157116 + ], + [ + 52962117, + 98498664 + ], + [ + 82850047, + 41523019 + ], + [ + 28248068, + 82968086 + ], + [ + 72940416, + 82500785 + ], + [ + 24318498, + 90777552 + ], + [ + 16439004, + 73690142 + ], + [ + 41683266, + 14173725 + ], + [ + 94732433, + 18299911 + ], + [ + 55084784, + 68904326 + ], + [ + 41612281, + 81790943 + ], + [ + 90664879, + 97325174 + ], + [ + 17859, + 62389459 + ], + [ + 15195285, + 61535714 + ], + [ + 18943575, + 15651569 + ], + [ + 57940887, + 39300422 + ], + [ + 52247320, + 67634091 + ], + [ + 60807234, + 25412428 + ], + [ + 21126753, + 99568826 + ], + [ + 71754997, + 38530634 + ], + [ + 45088025, + 19946051 + ], + [ + 37207038, + 94033146 + ], + [ + 90964799, + 62348457 + ], + [ + 31148625, + 90496544 + ], + [ + 93904773, + 7249705 + ], + [ + 35369428, + 13877703 + ], + [ + 63853212, + 1807363 + ], + [ + 36709685, + 87540881 + ], + [ + 5912660, + 16996631 + ], + [ + 68672296, + 64729464 + ], + [ + 76346738, + 8980828 + ], + [ + 28303964, + 91388965 + ], + [ + 91802860, + 29736376 + ], + [ + 38127472, + 63343106 + ], + [ + 46196611, + 16780119 + ], + [ + 39250062, + 32461402 + ], + [ + 86289593, + 43883089 + ], + [ + 8987644, + 22940658 + ], + [ + 32762922, + 25474879 + ], + [ + 81197777, + 83889607 + ], + [ + 77921727, + 82206695 + ], + [ + 89730378, + 34002955 + ], + [ + 28859125, + 31803643 + ], + [ + 90979484, + 55000977 + ], + [ + 28407872, + 28265625 + ], + [ + 42263897, + 30122783 + ], + [ + 47457193, + 33732713 + ], + [ + 40711696, + 50102037 + ], + [ + 56824062, + 595334 + ], + [ + 30715383, + 97885750 + ], + [ + 37654831, + 84174123 + ], + [ + 64245796, + 47964637 + ], + [ + 25030892, + 88956010 + ], + [ + 57765181, + 46542558 + ], + [ + 87198194, + 58130016 + ], + [ + 81863042, + 92237139 + ], + [ + 88299035, + 37350228 + ], + [ + 60806004, + 35609242 + ], + [ + 85952207, + 36390873 + ], + [ + 2030720, + 49091820 + ], + [ + 20378313, + 73367767 + ], + [ + 23499180, + 67170871 + ], + [ + 80871117, + 78189530 + ], + [ + 32792335, + 76844139 + ], + [ + 84290174, + 33752376 + ], + [ + 16756676, + 35324412 + ], + [ + 499143, + 25026099 + ], + [ + 59863188, + 41161849 + ], + [ + 78487801, + 1524727 + ], + [ + 52828197, + 23385369 + ], + [ + 50191392, + 89475565 + ], + [ + 58898642, + 46679552 + ], + [ + 65460236, + 80015510 + ], + [ + 60126109, + 94891981 + ], + [ + 29003269, + 24766841 + ], + [ + 82926724, + 41302295 + ], + [ + 73155396, + 28833147 + ], + [ + 60317660, + 92441072 + ], + [ + 15813775, + 41899517 + ], + [ + 67356100, + 13592132 + ], + [ + 66597685, + 72217691 + ], + [ + 91388424, + 19538270 + ], + [ + 35480785, + 47344097 + ], + [ + 89506814, + 23566370 + ], + [ + 96608535, + 3943931 + ], + [ + 91878721, + 55301262 + ], + [ + 9694884, + 848334 + ], + [ + 70410499, + 53751157 + ], + [ + 4190556, + 54561053 + ], + [ + 10100267, + 30280154 + ], + [ + 88596015, + 19603354 + ], + [ + 79652099, + 51354259 + ], + [ + 50220150, + 50500141 + ], + [ + 89935739, + 62372706 + ], + [ + 45985968, + 4703481 + ], + [ + 22135792, + 67624589 + ], + [ + 6322156, + 11589630 + ], + [ + 79255590, + 59471156 + ], + [ + 57421684, + 4967391 + ], + [ + 33950386, + 24510747 + ], + [ + 67208649, + 29401648 + ], + [ + 87551833, + 46985155 + ], + [ + 79662635, + 85961590 + ], + [ + 9256120, + 26634670 + ], + [ + 15159490, + 65330122 + ], + [ + 95947426, + 94885878 + ], + [ + 87306794, + 59292725 + ], + [ + 2861009, + 48208579 + ], + [ + 32642171, + 67240951 + ], + [ + 85981326, + 64960110 + ], + [ + 42386062, + 74902297 + ], + [ + 72306384, + 41686568 + ], + [ + 37215781, + 7476186 + ], + [ + 97947448, + 21697946 + ], + [ + 97609226, + 24171422 + ], + [ + 85822098, + 33155181 + ], + [ + 29734725, + 93746941 + ], + [ + 21434476, + 3941654 + ], + [ + 5109035, + 90652031 + ], + [ + 49692010, + 86633847 + ], + [ + 75290927, + 9580439 + ], + [ + 41054900, + 34812115 + ], + [ + 50739013, + 2764285 + ], + [ + 96647294, + 63159615 + ], + [ + 77422795, + 34398678 + ], + [ + 73588320, + 33516708 + ], + [ + 37351079, + 10524466 + ], + [ + 36083285, + 71997093 + ], + [ + 90265337, + 82212717 + ], + [ + 46526724, + 19425082 + ], + [ + 69996331, + 87050927 + ], + [ + 75624733, + 80976433 + ], + [ + 70772052, + 3352479 + ], + [ + 2180631, + 65835930 + ], + [ + 58925443, + 57263776 + ], + [ + 14274043, + 85649227 + ], + [ + 72463241, + 62785433 + ], + [ + 95277679, + 6238414 + ], + [ + 7077590, + 3048317 + ], + [ + 40487671, + 7960446 + ], + [ + 56527360, + 38765807 + ], + [ + 47013776, + 96787196 + ], + [ + 19033035, + 36444851 + ], + [ + 83158364, + 13479414 + ], + [ + 75315372, + 34177421 + ], + [ + 57856288, + 79275014 + ], + [ + 54749053, + 53340865 + ], + [ + 24182763, + 56050917 + ], + [ + 67079694, + 21427923 + ], + [ + 20477858, + 2471468 + ], + [ + 31224602, + 15748847 + ], + [ + 8035395, + 68181675 + ], + [ + 72645767, + 49812383 + ], + [ + 17993017, + 42054462 + ], + [ + 2297651, + 73093906 + ], + [ + 80992662, + 39465050 + ], + [ + 20259332, + 37089699 + ], + [ + 10603309, + 62300067 + ], + [ + 14079769, + 73718083 + ], + [ + 5976332, + 70900749 + ], + [ + 50312052, + 59675436 + ], + [ + 31753381, + 20844818 + ], + [ + 17589075, + 23132433 + ], + [ + 66206269, + 85180198 + ], + [ + 85890520, + 83893581 + ], + [ + 54454074, + 47391246 + ], + [ + 79595962, + 38583370 + ], + [ + 43184982, + 10728948 + ], + [ + 93010805, + 69771811 + ], + [ + 99645263, + 93861817 + ], + [ + 58992063, + 74156362 + ], + [ + 83914356, + 91357347 + ], + [ + 63942480, + 63782873 + ], + [ + 95357150, + 39589787 + ], + [ + 9803551, + 71399764 + ], + [ + 425850, + 47220107 + ], + [ + 9348663, + 94285076 + ], + [ + 12385773, + 19083972 + ], + [ + 62851557, + 83616598 + ], + [ + 65463087, + 40689715 + ], + [ + 79048023, + 97862704 + ], + [ + 38821693, + 33322494 + ], + [ + 84609486, + 6427728 + ], + [ + 17248802, + 90810371 + ], + [ + 51360815, + 64852372 + ], + [ + 16332085, + 86009142 + ], + [ + 63166860, + 88421964 + ], + [ + 31353396, + 10705821 + ], + [ + 35050389, + 68005867 + ], + [ + 22156808, + 60447329 + ], + [ + 26133982, + 64264336 + ], + [ + 88964991, + 44545830 + ], + [ + 96633649, + 25208626 + ], + [ + 81621331, + 531238 + ], + [ + 59906235, + 13929648 + ], + [ + 26987769, + 90843947 + ], + [ + 52276986, + 90422637 + ], + [ + 91136554, + 68689773 + ], + [ + 3897313, + 20585469 + ], + [ + 53555789, + 69976143 + ], + [ + 40054599, + 72310238 + ], + [ + 86485931, + 74420776 + ], + [ + 47573776, + 47960430 + ], + [ + 3249023, + 20378739 + ], + [ + 94907774, + 79985891 + ], + [ + 73923586, + 70764411 + ], + [ + 7176386, + 83785154 + ], + [ + 84962906, + 18043615 + ], + [ + 89089813, + 37694218 + ], + [ + 36584145, + 55196846 + ], + [ + 83007666, + 83491119 + ], + [ + 31566433, + 18815237 + ], + [ + 17825035, + 70394204 + ], + [ + 11735988, + 44222854 + ], + [ + 75897583, + 852371 + ], + [ + 38635248, + 89995595 + ], + [ + 60350367, + 91439929 + ], + [ + 42651824, + 69614046 + ], + [ + 51886685, + 95631678 + ], + [ + 58885302, + 82172584 + ], + [ + 1972708, + 87204527 + ], + [ + 27180245, + 74231103 + ], + [ + 84303915, + 38762109 + ], + [ + 27265782, + 15634610 + ], + [ + 22342854, + 25499087 + ], + [ + 10466528, + 74138282 + ], + [ + 86531212, + 2414915 + ], + [ + 40933917, + 77431722 + ], + [ + 4206469, + 89190488 + ], + [ + 34611493, + 47841233 + ], + [ + 1851923, + 10777849 + ], + [ + 32840525, + 4684983 + ], + [ + 92444863, + 962074 + ], + [ + 89021557, + 38811262 + ], + [ + 36383362, + 61631661 + ], + [ + 88164902, + 4449676 + ], + [ + 57931600, + 10002251 + ], + [ + 3188143, + 95504125 + ], + [ + 96510037, + 33956545 + ], + [ + 28880328, + 69786382 + ], + [ + 48651734, + 49771663 + ], + [ + 49555318, + 81508938 + ], + [ + 92336139, + 78473342 + ], + [ + 38634571, + 93982393 + ], + [ + 62192597, + 38631635 + ], + [ + 51894612, + 87392331 + ], + [ + 5663108, + 65172479 + ], + [ + 38305418, + 42628745 + ], + [ + 86731818, + 7747234 + ], + [ + 36471067, + 10293766 + ], + [ + 98777170, + 34894880 + ], + [ + 95040286, + 66355912 + ], + [ + 77535464, + 59344150 + ], + [ + 5484860, + 80863499 + ], + [ + 45811178, + 90680755 + ], + [ + 54949498, + 83593633 + ], + [ + 31675416, + 71356693 + ], + [ + 955961, + 91395536 + ], + [ + 32236535, + 49744930 + ], + [ + 58744949, + 24707118 + ], + [ + 57107013, + 41185186 + ], + [ + 33609250, + 94812838 + ], + [ + 88934401, + 67078808 + ], + [ + 84510945, + 61077749 + ], + [ + 71839033, + 33164953 + ], + [ + 44938096, + 44705333 + ], + [ + 8967934, + 78610040 + ], + [ + 94003723, + 37523326 + ], + [ + 64384097, + 49999888 + ], + [ + 63506460, + 68895568 + ], + [ + 9156529, + 58401333 + ], + [ + 87541648, + 76472688 + ], + [ + 35550639, + 40287766 + ], + [ + 73373839, + 72889844 + ], + [ + 40047374, + 20705658 + ], + [ + 97077567, + 37039074 + ], + [ + 88147061, + 72771690 + ], + [ + 11381748, + 70961246 + ], + [ + 2315145, + 53504086 + ], + [ + 77062488, + 92550338 + ], + [ + 70230832, + 94179496 + ], + [ + 47622253, + 81150881 + ], + [ + 74008008, + 77897108 + ], + [ + 81536063, + 29992919 + ], + [ + 44079795, + 15240436 + ], + [ + 67171779, + 76921622 + ], + [ + 94232902, + 27891412 + ], + [ + 25479545, + 69778133 + ], + [ + 95257298, + 14827313 + ], + [ + 87526811, + 6780532 + ], + [ + 60831311, + 50497812 + ], + [ + 92313423, + 44733786 + ], + [ + 48025565, + 573096 + ], + [ + 45724841, + 52711345 + ], + [ + 9803725, + 77904795 + ], + [ + 90368909, + 32846338 + ], + [ + 61321468, + 71993562 + ], + [ + 9943580, + 8558571 + ], + [ + 94727978, + 20218801 + ], + [ + 52586475, + 30428787 + ], + [ + 58701529, + 98108760 + ], + [ + 60287748, + 34864890 + ], + [ + 90909656, + 65915813 + ], + [ + 68707608, + 27576361 + ], + [ + 13899568, + 67072378 + ], + [ + 25741408, + 99315235 + ], + [ + 40729923, + 73702103 + ], + [ + 97598903, + 90301554 + ], + [ + 76888399, + 87196792 + ], + [ + 24159801, + 59782231 + ], + [ + 64958269, + 61605054 + ], + [ + 65930380, + 97623872 + ], + [ + 51222830, + 84710987 + ], + [ + 59509210, + 93032660 + ], + [ + 42402739, + 59898562 + ], + [ + 5036561, + 3208924 + ], + [ + 5068209, + 39899006 + ], + [ + 69047942, + 84085964 + ], + [ + 23086816, + 23403922 + ], + [ + 32038907, + 80232163 + ], + [ + 59664130, + 38592256 + ], + [ + 26361676, + 88691813 + ], + [ + 316360, + 59819927 + ], + [ + 91028931, + 90123361 + ], + [ + 28366765, + 61572701 + ], + [ + 37868923, + 50425658 + ], + [ + 52224221, + 99311379 + ], + [ + 72175730, + 46177729 + ], + [ + 75939743, + 84846473 + ], + [ + 83578889, + 93318328 + ], + [ + 82231075, + 63460483 + ], + [ + 72003790, + 95566796 + ], + [ + 3181347, + 31082966 + ], + [ + 95952122, + 47917895 + ], + [ + 12032269, + 97617650 + ], + [ + 47005670, + 71153840 + ], + [ + 72010628, + 95591318 + ], + [ + 36187867, + 77357477 + ], + [ + 50507707, + 33077588 + ], + [ + 24550342, + 854492 + ], + [ + 54518556, + 94795066 + ], + [ + 61857497, + 26519694 + ], + [ + 20602258, + 46546008 + ], + [ + 89424084, + 75521302 + ], + [ + 20213570, + 10060982 + ], + [ + 64148904, + 18702977 + ], + [ + 90951629, + 38773443 + ], + [ + 55384565, + 12743323 + ], + [ + 22410912, + 94725336 + ], + [ + 28773623, + 9863636 + ], + [ + 26459620, + 94528381 + ], + [ + 7435704, + 50132674 + ], + [ + 82672384, + 17731635 + ], + [ + 92921239, + 16025683 + ], + [ + 85148661, + 86051536 + ], + [ + 63558159, + 80983850 + ], + [ + 75801248, + 64792782 + ], + [ + 62442971, + 14420810 + ], + [ + 18416077, + 33707370 + ], + [ + 21561985, + 83971115 + ], + [ + 50881574, + 56853995 + ], + [ + 29141866, + 45049547 + ], + [ + 54730460, + 30522635 + ], + [ + 38554637, + 55873568 + ], + [ + 97240031, + 61040132 + ], + [ + 20407265, + 66691071 + ], + [ + 44277542, + 47968734 + ], + [ + 61028813, + 28340587 + ], + [ + 78153837, + 88042223 + ], + [ + 57607893, + 77469920 + ], + [ + 41027566, + 927881 + ], + [ + 70818860, + 51272742 + ], + [ + 55913257, + 82914003 + ], + [ + 45673581, + 3572884 + ], + [ + 89010281, + 87135761 + ], + [ + 59492460, + 66933497 + ], + [ + 91199744, + 77955783 + ], + [ + 96338233, + 64907527 + ], + [ + 55516858, + 30609496 + ], + [ + 36001843, + 41566354 + ], + [ + 44958116, + 26158781 + ], + [ + 33204057, + 21098731 + ], + [ + 15895143, + 74194136 + ], + [ + 35856257, + 32111474 + ], + [ + 60861087, + 56097997 + ], + [ + 28161877, + 8896568 + ], + [ + 3094820, + 85475941 + ], + [ + 58489754, + 62471052 + ], + [ + 65339847, + 40596926 + ], + [ + 39611462, + 90144282 + ], + [ + 53196134, + 45296866 + ], + [ + 65819173, + 78206680 + ], + [ + 54281247, + 19946750 + ], + [ + 54305616, + 32555476 + ], + [ + 75431212, + 96648832 + ], + [ + 54057072, + 84088332 + ], + [ + 37501044, + 17601802 + ], + [ + 88989717, + 82906195 + ], + [ + 7726768, + 26165074 + ], + [ + 72031582, + 33454340 + ], + [ + 90263156, + 37547391 + ], + [ + 80202168, + 94415353 + ], + [ + 26492118, + 18751107 + ], + [ + 21080261, + 87594848 + ], + [ + 30051160, + 15756788 + ], + [ + 12359690, + 15750442 + ], + [ + 16272749, + 47637754 + ], + [ + 16158456, + 13493478 + ], + [ + 60107219, + 23908223 + ], + [ + 60603188, + 91087407 + ], + [ + 2059165, + 56017726 + ], + [ + 95381872, + 18647945 + ], + [ + 92479546, + 65589915 + ], + [ + 31150389, + 90678086 + ], + [ + 47634930, + 32288505 + ], + [ + 93429202, + 51343540 + ], + [ + 90825626, + 47440313 + ], + [ + 70760764, + 54783156 + ], + [ + 87080510, + 37121004 + ], + [ + 1289267, + 40445395 + ], + [ + 28983371, + 36296543 + ], + [ + 68134992, + 69244002 + ], + [ + 97729028, + 34681594 + ], + [ + 69921942, + 35088608 + ], + [ + 23751227, + 90671282 + ], + [ + 27376253, + 68515137 + ], + [ + 48023188, + 62990932 + ], + [ + 33612614, + 85978612 + ], + [ + 41674517, + 44014398 + ], + [ + 203061, + 60121006 + ], + [ + 27121905, + 64201841 + ], + [ + 87633302, + 62853410 + ], + [ + 77718354, + 80099550 + ], + [ + 88333467, + 1851992 + ], + [ + 71091576, + 5921037 + ], + [ + 19217710, + 89209323 + ], + [ + 42596422, + 17400006 + ], + [ + 5923524, + 72980655 + ], + [ + 58735134, + 69656721 + ], + [ + 83371113, + 89313333 + ], + [ + 61933287, + 7979726 + ], + [ + 16533997, + 75100409 + ], + [ + 32312772, + 22595313 + ], + [ + 13705536, + 16264956 + ], + [ + 10137986, + 71352597 + ], + [ + 72604301, + 85421270 + ], + [ + 31753253, + 385313 + ], + [ + 1184393, + 13605742 + ], + [ + 82810756, + 75885083 + ], + [ + 10135020, + 56465662 + ], + [ + 12572942, + 61285800 + ], + [ + 3452906, + 61101776 + ], + [ + 77725080, + 17745574 + ], + [ + 30730184, + 76495893 + ], + [ + 51898356, + 32871782 + ], + [ + 95775190, + 3713522 + ], + [ + 37109400, + 53522625 + ], + [ + 63430856, + 72558929 + ], + [ + 79432347, + 52684309 + ], + [ + 54191584, + 78483261 + ], + [ + 46479161, + 28528024 + ], + [ + 32190498, + 71215479 + ], + [ + 26164679, + 83144089 + ], + [ + 75064683, + 1091144 + ], + [ + 63680705, + 74355780 + ], + [ + 77160980, + 89720086 + ], + [ + 58407836, + 76820161 + ], + [ + 80942261, + 80122799 + ], + [ + 46925122, + 79454355 + ], + [ + 3595822, + 39143618 + ], + [ + 67188524, + 84746435 + ], + [ + 82383805, + 80774945 + ], + [ + 79984812, + 86539280 + ], + [ + 63162958, + 35762034 + ], + [ + 35108582, + 70524928 + ], + [ + 80491740, + 54883733 + ], + [ + 4394106, + 13479224 + ], + [ + 41928190, + 34980457 + ], + [ + 46894777, + 55503379 + ], + [ + 53043738, + 75491820 + ], + [ + 26032263, + 29527594 + ], + [ + 62629015, + 21034313 + ], + [ + 98652596, + 78562616 + ], + [ + 65023419, + 53946483 + ], + [ + 73218398, + 78806105 + ], + [ + 66081831, + 77467791 + ], + [ + 26132035, + 26123809 + ], + [ + 39570484, + 19091970 + ], + [ + 54257336, + 70295367 + ], + [ + 47476339, + 75962070 + ], + [ + 5231779, + 59440557 + ], + [ + 17300699, + 3026144 + ], + [ + 20476978, + 58286123 + ], + [ + 46902450, + 23567259 + ], + [ + 22755335, + 2117893 + ], + [ + 51469173, + 9740263 + ], + [ + 29806865, + 93833872 + ], + [ + 86690335, + 47132703 + ], + [ + 45996600, + 77501975 + ], + [ + 86690142, + 64164605 + ], + [ + 80729673, + 58924425 + ], + [ + 33478961, + 86400057 + ], + [ + 89678050, + 26502981 + ], + [ + 89412847, + 47442915 + ], + [ + 32401496, + 16440724 + ], + [ + 49345115, + 75130932 + ], + [ + 48738953, + 51575784 + ], + [ + 31921031, + 88214049 + ], + [ + 81738250, + 77300773 + ], + [ + 197680, + 41028830 + ], + [ + 59227158, + 14926156 + ], + [ + 48199907, + 63501385 + ], + [ + 18320288, + 32225763 + ], + [ + 72692100, + 78352493 + ], + [ + 53611140, + 73365289 + ], + [ + 10561719, + 32529906 + ], + [ + 79888353, + 37243663 + ], + [ + 63759678, + 51200821 + ], + [ + 73320593, + 39643198 + ], + [ + 94176353, + 18884992 + ], + [ + 84743574, + 37741278 + ], + [ + 59206748, + 20056885 + ], + [ + 33443006, + 36092423 + ], + [ + 26367508, + 83851974 + ], + [ + 72908905, + 54551720 + ], + [ + 6870710, + 50973269 + ], + [ + 91857445, + 71672674 + ], + [ + 51368875, + 48918871 + ], + [ + 90512405, + 17229681 + ], + [ + 7461776, + 53896012 + ], + [ + 15855646, + 3160800 + ], + [ + 69276061, + 3165585 + ], + [ + 6499618, + 8559902 + ], + [ + 3856923, + 8383682 + ], + [ + 64604137, + 20847861 + ], + [ + 27968391, + 59397449 + ], + [ + 60010022, + 37719467 + ], + [ + 61557402, + 19618843 + ], + [ + 47507549, + 88731721 + ], + [ + 66071314, + 92249062 + ], + [ + 91479855, + 59076517 + ], + [ + 58459445, + 7370853 + ], + [ + 23721958, + 46307338 + ], + [ + 6973035, + 76273888 + ], + [ + 38544911, + 69637014 + ], + [ + 26745691, + 16317046 + ], + [ + 22910553, + 15083105 + ], + [ + 4468964, + 15558859 + ], + [ + 61854301, + 87140987 + ], + [ + 72482981, + 41188534 + ], + [ + 50365810, + 29064904 + ], + [ + 15891514, + 11569556 + ], + [ + 19145332, + 97762228 + ], + [ + 39765811, + 1553409 + ], + [ + 29317643, + 44078511 + ], + [ + 87876126, + 12254341 + ], + [ + 35357555, + 16827954 + ], + [ + 42289753, + 5465651 + ], + [ + 3211473, + 3493296 + ], + [ + 76532341, + 90051103 + ], + [ + 85489451, + 58247389 + ], + [ + 54182405, + 96678865 + ], + [ + 92452988, + 1622879 + ], + [ + 60566358, + 13368796 + ], + [ + 74114936, + 26879520 + ], + [ + 98798534, + 67296141 + ], + [ + 41491953, + 63248215 + ], + [ + 6244744, + 63200813 + ], + [ + 96317602, + 60720952 + ], + [ + 31008390, + 84264167 + ], + [ + 1803398, + 13312952 + ], + [ + 47506016, + 94626658 + ], + [ + 43776719, + 26280899 + ], + [ + 94564401, + 53508315 + ], + [ + 78790276, + 20510003 + ], + [ + 9003573, + 57601704 + ], + [ + 25116401, + 16222045 + ], + [ + 61713223, + 36382834 + ], + [ + 37672040, + 40949494 + ], + [ + 16914785, + 54471598 + ], + [ + 77146342, + 6214517 + ], + [ + 8782732, + 69126828 + ], + [ + 79130504, + 37356573 + ], + [ + 65962944, + 82045556 + ], + [ + 3021160, + 31533948 + ], + [ + 14224312, + 54638145 + ], + [ + 11107619, + 18456641 + ], + [ + 56494637, + 76240459 + ], + [ + 75464135, + 31866251 + ], + [ + 45901801, + 51763730 + ], + [ + 5989142, + 80750538 + ], + [ + 56635962, + 47556123 + ], + [ + 50066642, + 88246656 + ], + [ + 15965632, + 32889317 + ], + [ + 1640418, + 79985978 + ], + [ + 22215919, + 75596176 + ], + [ + 53329209, + 17731838 + ], + [ + 28015940, + 10242138 + ], + [ + 30594132, + 44844054 + ], + [ + 38754806, + 98684497 + ], + [ + 14938844, + 48886197 + ], + [ + 22339226, + 69907747 + ], + [ + 10909537, + 51183871 + ], + [ + 7709682, + 5402868 + ], + [ + 40052334, + 67434087 + ], + [ + 8482956, + 91631381 + ], + [ + 29757028, + 14698730 + ], + [ + 95942199, + 72843535 + ], + [ + 1504341, + 79205004 + ], + [ + 40287766, + 95606762 + ], + [ + 12175333, + 71031610 + ], + [ + 49911386, + 31438997 + ], + [ + 90041616, + 4744669 + ], + [ + 43312381, + 76173217 + ], + [ + 94502355, + 34728687 + ], + [ + 22698097, + 95645594 + ], + [ + 44942018, + 3405038 + ], + [ + 63666756, + 41574424 + ], + [ + 42278958, + 62673844 + ], + [ + 61031540, + 45665828 + ], + [ + 16223738, + 27049553 + ], + [ + 72570053, + 92451957 + ], + [ + 95636698, + 35845003 + ], + [ + 3582353, + 15226264 + ], + [ + 54636745, + 8289379 + ], + [ + 46977165, + 21522610 + ], + [ + 86532165, + 3464372 + ], + [ + 93656981, + 50455597 + ], + [ + 31387700, + 82764591 + ], + [ + 74938863, + 48224921 + ], + [ + 36673665, + 61866527 + ], + [ + 20096427, + 46407829 + ], + [ + 30581015, + 35130599 + ], + [ + 5066928, + 47533040 + ], + [ + 33110855, + 67314619 + ], + [ + 56841398, + 14881915 + ], + [ + 56371822, + 68861893 + ], + [ + 52203638, + 76952740 + ], + [ + 5455325, + 48187728 + ], + [ + 6300354, + 90222406 + ], + [ + 59799136, + 42181941 + ], + [ + 26334311, + 33817789 + ], + [ + 87570751, + 23055064 + ], + [ + 8125177, + 27352155 + ], + [ + 66941422, + 75766460 + ], + [ + 30593528, + 60890805 + ], + [ + 73716956, + 17289018 + ], + [ + 75068079, + 50443573 + ], + [ + 45352078, + 80870917 + ], + [ + 61910034, + 13662752 + ], + [ + 63919879, + 52887043 + ], + [ + 7039766, + 27724495 + ], + [ + 96234790, + 59979285 + ], + [ + 24847894, + 89028625 + ], + [ + 97504776, + 73876084 + ], + [ + 67460443, + 20717240 + ], + [ + 83194168, + 70734058 + ], + [ + 36271136, + 65202039 + ], + [ + 51541751, + 83491421 + ], + [ + 66218994, + 20348321 + ], + [ + 90852110, + 66447370 + ], + [ + 58010294, + 33643629 + ], + [ + 26790051, + 95611201 + ], + [ + 11050252, + 61617061 + ], + [ + 51268856, + 3046186 + ], + [ + 99028328, + 31108525 + ], + [ + 15450185, + 43753014 + ], + [ + 5680283, + 53467009 + ], + [ + 45644641, + 70368352 + ], + [ + 10651456, + 75170243 + ], + [ + 59439664, + 23028387 + ], + [ + 62111201, + 25571446 + ], + [ + 27589419, + 83045705 + ], + [ + 89871922, + 43116102 + ], + [ + 43446774, + 23541055 + ], + [ + 52971570, + 50326295 + ], + [ + 36884097, + 86357017 + ], + [ + 96868230, + 70177932 + ], + [ + 92441787, + 21542500 + ], + [ + 64260564, + 89469142 + ], + [ + 4811402, + 85155717 + ], + [ + 53718881, + 62684922 + ], + [ + 46950603, + 57395140 + ], + [ + 90251771, + 7531664 + ], + [ + 55524416, + 929953 + ], + [ + 1918068, + 95610545 + ], + [ + 62112027, + 46756665 + ], + [ + 65496045, + 32882393 + ], + [ + 92989285, + 68283811 + ], + [ + 31391930, + 22897752 + ], + [ + 53321493, + 44047534 + ], + [ + 63817096, + 69547942 + ], + [ + 12686112, + 64524305 + ], + [ + 68581674, + 39350324 + ], + [ + 76963732, + 33487385 + ], + [ + 9154588, + 73368518 + ], + [ + 79818632, + 13359982 + ], + [ + 27652751, + 32001500 + ], + [ + 4627039, + 61761784 + ], + [ + 22242520, + 99348631 + ], + [ + 89431830, + 46706849 + ], + [ + 36768281, + 90881392 + ], + [ + 2417577, + 98118847 + ], + [ + 13067489, + 68232212 + ], + [ + 85728121, + 24116758 + ], + [ + 89011240, + 63499047 + ], + [ + 8698056, + 10002594 + ], + [ + 13227368, + 2239786 + ], + [ + 4958096, + 19236265 + ], + [ + 43157616, + 32221820 + ], + [ + 93917020, + 49292154 + ], + [ + 66154356, + 88871630 + ], + [ + 18552521, + 42337481 + ], + [ + 74223476, + 75085511 + ], + [ + 3569377, + 12703511 + ], + [ + 83426327, + 68638480 + ], + [ + 78900764, + 62102159 + ], + [ + 16581174, + 32872365 + ], + [ + 76915129, + 18827486 + ], + [ + 67067008, + 67922390 + ], + [ + 45917453, + 2605867 + ], + [ + 61491275, + 44628674 + ], + [ + 88622473, + 90228717 + ], + [ + 61286325, + 7221833 + ], + [ + 90465253, + 57903203 + ], + [ + 22842478, + 73025386 + ], + [ + 26330521, + 41842853 + ], + [ + 72454845, + 24853522 + ], + [ + 82273297, + 91142300 + ], + [ + 47924289, + 44058493 + ], + [ + 89588834, + 85300837 + ], + [ + 9638096, + 22155851 + ], + [ + 94761325, + 30439873 + ], + [ + 1056256, + 80471801 + ], + [ + 91193285, + 74904364 + ], + [ + 77241719, + 88671076 + ], + [ + 76364699, + 3219214 + ], + [ + 63626635, + 12651730 + ], + [ + 17235068, + 97098441 + ], + [ + 82224486, + 83856388 + ], + [ + 10059529, + 81867402 + ], + [ + 76236129, + 38664299 + ], + [ + 75063383, + 35389562 + ], + [ + 45112391, + 66342630 + ], + [ + 47165121, + 92145094 + ], + [ + 21853777, + 27859644 + ], + [ + 14069717, + 94782179 + ], + [ + 62806838, + 88677446 + ], + [ + 75114701, + 97091354 + ], + [ + 26800495, + 73405946 + ], + [ + 86399586, + 69750608 + ], + [ + 86706044, + 35984273 + ], + [ + 66738045, + 79002892 + ], + [ + 84569301, + 85649725 + ], + [ + 87863778, + 30990135 + ], + [ + 31296043, + 82411961 + ], + [ + 31134921, + 33311081 + ], + [ + 76589358, + 65334111 + ], + [ + 70095590, + 86586006 + ], + [ + 71965357, + 23170221 + ], + [ + 68926894, + 91043999 + ], + [ + 9768637, + 30755030 + ], + [ + 81963334, + 99763095 + ], + [ + 8248023, + 72082686 + ], + [ + 9028827, + 32822740 + ], + [ + 77190705, + 22440762 + ], + [ + 86723239, + 27362978 + ], + [ + 41946077, + 69850035 + ], + [ + 10605073, + 54954294 + ], + [ + 69028325, + 24279477 + ], + [ + 23549698, + 14721150 + ], + [ + 33853752, + 34619659 + ], + [ + 3310272, + 29753535 + ], + [ + 74117762, + 91449840 + ], + [ + 28189891, + 25584120 + ], + [ + 59552431, + 8282759 + ], + [ + 99098523, + 35232766 + ], + [ + 78989158, + 35315876 + ], + [ + 56439080, + 46230345 + ], + [ + 17209550, + 12160557 + ], + [ + 48766481, + 50810125 + ], + [ + 24469694, + 57509496 + ], + [ + 29151863, + 14380485 + ], + [ + 22444431, + 3519509 + ], + [ + 68239237, + 65399729 + ], + [ + 60866770, + 46824833 + ], + [ + 12289438, + 57987266 + ], + [ + 70477456, + 97138641 + ], + [ + 95442229, + 65698322 + ], + [ + 95341349, + 18523713 + ], + [ + 23499159, + 62355765 + ], + [ + 62029310, + 78680056 + ], + [ + 74450097, + 30328040 + ], + [ + 39137532, + 72999473 + ], + [ + 65136789, + 38841915 + ], + [ + 29764123, + 17711286 + ], + [ + 44967792, + 96329647 + ], + [ + 26517389, + 70667936 + ], + [ + 15253539, + 83455786 + ], + [ + 23087984, + 82370930 + ], + [ + 73087491, + 44310469 + ], + [ + 57482372, + 62772140 + ], + [ + 71863458, + 17430691 + ], + [ + 20163694, + 90638058 + ], + [ + 15349145, + 16277534 + ], + [ + 27426837, + 81836706 + ], + [ + 34363460, + 67774168 + ], + [ + 3779993, + 176318 + ], + [ + 93571470, + 91625048 + ], + [ + 53780873, + 34975676 + ], + [ + 97687854, + 19062757 + ], + [ + 2021780, + 59962747 + ], + [ + 82522312, + 16649373 + ], + [ + 93386304, + 57308741 + ], + [ + 44772241, + 7872829 + ], + [ + 91240275, + 90068582 + ], + [ + 20680190, + 15555464 + ], + [ + 46348419, + 29254718 + ], + [ + 50776382, + 80559719 + ], + [ + 4087154, + 83956877 + ], + [ + 72208532, + 65217668 + ], + [ + 41190642, + 27237319 + ], + [ + 76812816, + 63328143 + ], + [ + 75286207, + 49777911 + ], + [ + 24018901, + 48239188 + ], + [ + 8709796, + 69172540 + ], + [ + 85722835, + 18738223 + ], + [ + 19849579, + 94363340 + ], + [ + 28452611, + 91376428 + ], + [ + 96949633, + 92069138 + ], + [ + 82504349, + 36476642 + ], + [ + 53721507, + 47638818 + ], + [ + 76753177, + 66664800 + ], + [ + 96115458, + 426735 + ], + [ + 16425699, + 48222129 + ], + [ + 25973796, + 90017675 + ], + [ + 48112722, + 86463993 + ], + [ + 4323767, + 43064991 + ], + [ + 61393855, + 93212003 + ], + [ + 5609429, + 68317274 + ], + [ + 7331605, + 47841373 + ], + [ + 64836327, + 77071864 + ], + [ + 96254214, + 93359583 + ], + [ + 81678340, + 85564791 + ], + [ + 25992154, + 23931138 + ], + [ + 67114697, + 68073805 + ], + [ + 63672147, + 85913686 + ], + [ + 88254579, + 45010655 + ], + [ + 65323575, + 83852521 + ], + [ + 1091576, + 78393980 + ], + [ + 34455366, + 79119371 + ], + [ + 62020798, + 55519057 + ], + [ + 63433934, + 16560348 + ], + [ + 98391122, + 98817251 + ], + [ + 98207858, + 48139194 + ], + [ + 73536998, + 77449901 + ], + [ + 36560725, + 76193863 + ], + [ + 37382181, + 47456120 + ], + [ + 13015853, + 96009820 + ], + [ + 99781173, + 64365366 + ], + [ + 82333614, + 75103182 + ], + [ + 17625041, + 48755368 + ], + [ + 59740064, + 54745109 + ], + [ + 24512145, + 34657010 + ], + [ + 76308774, + 41923135 + ], + [ + 40897814, + 94048655 + ], + [ + 32023139, + 78488245 + ], + [ + 33929956, + 69983119 + ], + [ + 89762861, + 73542669 + ], + [ + 70138964, + 76769588 + ], + [ + 99673580, + 64796978 + ], + [ + 77804522, + 88894111 + ], + [ + 17848727, + 47823391 + ], + [ + 83751595, + 9016154 + ], + [ + 86971973, + 32576201 + ], + [ + 80675944, + 82622383 + ], + [ + 93527726, + 13205662 + ], + [ + 18270518, + 46709934 + ], + [ + 36863102, + 91809151 + ], + [ + 84255250, + 7741400 + ], + [ + 65436268, + 72187382 + ], + [ + 88495886, + 30143032 + ], + [ + 66796773, + 47680599 + ], + [ + 91955095, + 20964299 + ], + [ + 96151605, + 10689469 + ], + [ + 7603996, + 2178004 + ], + [ + 37066041, + 75375445 + ], + [ + 92539153, + 10732074 + ], + [ + 25167123, + 4884393 + ], + [ + 29712902, + 1901515 + ], + [ + 86792360, + 6251123 + ], + [ + 44158111, + 24932402 + ], + [ + 5914194, + 56934295 + ], + [ + 14593385, + 3358678 + ], + [ + 10800555, + 4450097 + ], + [ + 56978417, + 80920245 + ], + [ + 88283750, + 1109878 + ], + [ + 38981951, + 31260759 + ], + [ + 56754776, + 540207 + ], + [ + 89425611, + 66990858 + ], + [ + 7960448, + 22298033 + ], + [ + 32002586, + 85710269 + ], + [ + 48492363, + 15516688 + ], + [ + 93020314, + 17752746 + ], + [ + 60090648, + 59172254 + ], + [ + 74488658, + 70781752 + ], + [ + 41356383, + 79043535 + ], + [ + 99022003, + 71875812 + ], + [ + 65239665, + 83883764 + ], + [ + 94741501, + 83749474 + ], + [ + 26555894, + 38248782 + ], + [ + 16700633, + 96319754 + ], + [ + 68040576, + 73596727 + ], + [ + 96820564, + 59111841 + ], + [ + 4417212, + 17377615 + ], + [ + 97000130, + 99218105 + ], + [ + 16694884, + 69250791 + ], + [ + 51990761, + 58196203 + ], + [ + 25652137, + 26166590 + ], + [ + 97449864, + 66218749 + ], + [ + 82600877, + 67203300 + ], + [ + 458096, + 98461190 + ], + [ + 12424904, + 77547321 + ], + [ + 63677091, + 74173805 + ], + [ + 82059382, + 21094565 + ], + [ + 37157122, + 44290972 + ], + [ + 26013060, + 45291675 + ], + [ + 71802100, + 8635618 + ], + [ + 88873551, + 72739773 + ], + [ + 33276073, + 84262089 + ], + [ + 40702556, + 36592051 + ], + [ + 54861164, + 35840532 + ], + [ + 1312946, + 16292294 + ], + [ + 77873986, + 90879334 + ], + [ + 26278270, + 95200638 + ], + [ + 84982612, + 82003061 + ], + [ + 90246843, + 50644552 + ], + [ + 35390074, + 76937231 + ], + [ + 14308105, + 46870550 + ], + [ + 71573251, + 22028150 + ], + [ + 72106365, + 52164154 + ], + [ + 84981623, + 5219020 + ], + [ + 39687853, + 34781913 + ], + [ + 35581838, + 86089158 + ], + [ + 99363245, + 85708032 + ], + [ + 45734429, + 84432621 + ], + [ + 76312485, + 64998898 + ], + [ + 68027891, + 37114322 + ], + [ + 66889740, + 84669900 + ], + [ + 10489414, + 35555183 + ], + [ + 38701254, + 58479409 + ], + [ + 26700546, + 65818194 + ], + [ + 22381920, + 53345188 + ], + [ + 36548669, + 85874328 + ], + [ + 73616950, + 31375058 + ], + [ + 14725920, + 94601506 + ], + [ + 64446141, + 47477657 + ], + [ + 54866930, + 29580867 + ], + [ + 80160122, + 49100814 + ], + [ + 64022262, + 44879740 + ], + [ + 7489971, + 50203094 + ], + [ + 77398843, + 65337474 + ], + [ + 22772878, + 59567982 + ], + [ + 80900188, + 67435118 + ], + [ + 79928834, + 1679817 + ], + [ + 39669834, + 27352440 + ], + [ + 36823993, + 56013320 + ], + [ + 32056979, + 40385760 + ], + [ + 29885439, + 55754053 + ], + [ + 18354539, + 67826973 + ], + [ + 13883791, + 59304800 + ], + [ + 73109142, + 18052975 + ], + [ + 59191575, + 16315575 + ], + [ + 8952103, + 96040562 + ], + [ + 45826912, + 91201069 + ], + [ + 50790461, + 79358240 + ], + [ + 88621654, + 27419143 + ], + [ + 91264255, + 80904316 + ], + [ + 6754246, + 62711292 + ], + [ + 60150630, + 56857521 + ], + [ + 45516317, + 15946244 + ], + [ + 95131217, + 68286421 + ], + [ + 28276239, + 46346285 + ], + [ + 47918452, + 87827372 + ], + [ + 20773722, + 20460750 + ], + [ + 61311916, + 33177436 + ], + [ + 5121436, + 6052716 + ], + [ + 72386457, + 97363960 + ], + [ + 88074079, + 18276195 + ], + [ + 31719874, + 92198597 + ], + [ + 48571064, + 37720693 + ], + [ + 70595211, + 80048885 + ], + [ + 65576195, + 19218913 + ], + [ + 66186105, + 97037756 + ], + [ + 83890014, + 35275797 + ], + [ + 38678595, + 23894400 + ], + [ + 56024140, + 19653275 + ], + [ + 50699506, + 68150706 + ], + [ + 81178481, + 38708743 + ], + [ + 28772299, + 71845779 + ], + [ + 94244117, + 88352827 + ], + [ + 9462279, + 36298120 + ], + [ + 39328678, + 23627427 + ], + [ + 20795246, + 36637042 + ], + [ + 21121227, + 10083958 + ], + [ + 9818974, + 71748950 + ], + [ + 87068166, + 58188444 + ], + [ + 31622936, + 53740497 + ], + [ + 42466345, + 26827542 + ], + [ + 97225536, + 67419103 + ], + [ + 44840216, + 16570053 + ], + [ + 68834527, + 80499301 + ], + [ + 98701241, + 80532151 + ], + [ + 27105641, + 33722045 + ], + [ + 22102388, + 44947195 + ], + [ + 72649952, + 83061221 + ], + [ + 49358568, + 95781829 + ], + [ + 76907894, + 32627538 + ], + [ + 33838240, + 58179004 + ], + [ + 43448677, + 56434891 + ], + [ + 39527866, + 37756953 + ], + [ + 19636393, + 58414278 + ], + [ + 9137046, + 18380926 + ], + [ + 73558207, + 80357525 + ], + [ + 28369026, + 5548555 + ], + [ + 71389610, + 12126061 + ], + [ + 88621953, + 37638516 + ], + [ + 80586381, + 41007678 + ], + [ + 37614553, + 78278466 + ], + [ + 45588835, + 26740765 + ], + [ + 26721010, + 69790927 + ], + [ + 60134187, + 67849636 + ], + [ + 86125742, + 31111975 + ], + [ + 87317555, + 40900066 + ], + [ + 81554457, + 9832916 + ], + [ + 44574969, + 18505625 + ], + [ + 40114570, + 15870618 + ], + [ + 68404213, + 22539541 + ], + [ + 7056176, + 85768546 + ], + [ + 65433077, + 19950457 + ], + [ + 59619638, + 45720126 + ], + [ + 81688906, + 45124165 + ], + [ + 92744784, + 90275445 + ], + [ + 21937160, + 95213649 + ], + [ + 61255058, + 78494424 + ], + [ + 54136057, + 50957861 + ], + [ + 47395606, + 29611043 + ], + [ + 15673771, + 57764828 + ], + [ + 91214215, + 41102371 + ], + [ + 53384333, + 41251306 + ], + [ + 15150426, + 64764677 + ], + [ + 48499907, + 16567639 + ], + [ + 3619698, + 42402471 + ], + [ + 27472995, + 85430543 + ], + [ + 25491189, + 23522382 + ], + [ + 40402719, + 60001767 + ], + [ + 29891581, + 79395209 + ], + [ + 71034670, + 7667296 + ], + [ + 91084566, + 60219058 + ], + [ + 51980285, + 21545512 + ], + [ + 74721446, + 19688374 + ], + [ + 75865378, + 52363912 + ], + [ + 98643024, + 92551161 + ], + [ + 95611002, + 7806536 + ], + [ + 34767488, + 50968272 + ], + [ + 71769843, + 40390985 + ], + [ + 314338, + 52085752 + ], + [ + 43231307, + 67545112 + ], + [ + 58266235, + 2580921 + ], + [ + 41593923, + 25749343 + ], + [ + 81923314, + 48712947 + ], + [ + 52312450, + 3413550 + ], + [ + 6245788, + 16297196 + ], + [ + 44559078, + 49497148 + ], + [ + 67645912, + 84692332 + ], + [ + 1592410, + 27171174 + ], + [ + 6373553, + 19892312 + ], + [ + 34392366, + 44615517 + ], + [ + 88729614, + 27633132 + ], + [ + 36180607, + 9627718 + ], + [ + 8565474, + 26014868 + ], + [ + 62687364, + 89050740 + ], + [ + 9961453, + 44992449 + ], + [ + 93718695, + 18233925 + ], + [ + 51479736, + 18757052 + ], + [ + 17268621, + 30262187 + ], + [ + 48717123, + 16913398 + ], + [ + 71156128, + 22675606 + ], + [ + 97973166, + 24792259 + ], + [ + 42872671, + 10875868 + ], + [ + 17187627, + 74727944 + ], + [ + 69542728, + 54781067 + ], + [ + 26010846, + 53247282 + ], + [ + 90064060, + 87773745 + ], + [ + 89219565, + 75625006 + ], + [ + 67140165, + 81065737 + ], + [ + 76733222, + 97906913 + ], + [ + 21916371, + 13915255 + ], + [ + 2524671, + 93598972 + ], + [ + 78034384, + 70728479 + ], + [ + 99012278, + 80409674 + ], + [ + 28627420, + 19612369 + ], + [ + 34457852, + 46265003 + ], + [ + 98297864, + 72288576 + ], + [ + 96281130, + 58456040 + ], + [ + 99617954, + 47766501 + ], + [ + 50551293, + 44628873 + ], + [ + 26176918, + 53565606 + ], + [ + 70208905, + 46120821 + ], + [ + 54964210, + 86722782 + ], + [ + 8189780, + 43206914 + ], + [ + 31736313, + 12856400 + ], + [ + 52406318, + 35060860 + ], + [ + 28615698, + 1559809 + ], + [ + 92136708, + 77309622 + ], + [ + 82528054, + 91493110 + ], + [ + 69828973, + 3135210 + ], + [ + 50547314, + 44354570 + ], + [ + 84876887, + 9452974 + ], + [ + 49255046, + 45070723 + ], + [ + 26303271, + 34129037 + ], + [ + 87514597, + 11341832 + ], + [ + 74913680, + 12903653 + ], + [ + 53107276, + 35462834 + ], + [ + 51832442, + 15613635 + ], + [ + 72241187, + 34555043 + ], + [ + 65603047, + 96414247 + ], + [ + 9508617, + 15014781 + ], + [ + 80245285, + 82759104 + ], + [ + 97813071, + 9249814 + ], + [ + 27850700, + 75671106 + ], + [ + 97200517, + 85260456 + ], + [ + 53461665, + 63220953 + ], + [ + 94104812, + 17964635 + ], + [ + 90071639, + 41881233 + ], + [ + 47957287, + 3356490 + ], + [ + 82734277, + 50747835 + ], + [ + 3561859, + 49468824 + ], + [ + 81027420, + 13930024 + ], + [ + 16326208, + 11991091 + ], + [ + 71965106, + 32424206 + ], + [ + 26898150, + 76294130 + ], + [ + 36001680, + 88468836 + ], + [ + 90320581, + 72314917 + ], + [ + 43158168, + 94905932 + ], + [ + 20194860, + 92281902 + ], + [ + 20085504, + 67730778 + ], + [ + 56826322, + 69848572 + ], + [ + 12316770, + 4459552 + ], + [ + 72514274, + 78414565 + ], + [ + 68081958, + 46105727 + ], + [ + 76283191, + 31536939 + ], + [ + 57555377, + 69584061 + ], + [ + 72345733, + 5943290 + ], + [ + 75775528, + 59345555 + ], + [ + 11533, + 91171837 + ], + [ + 50782814, + 2028510 + ], + [ + 13950379, + 24577687 + ], + [ + 63756, + 40748052 + ], + [ + 45420183, + 5596439 + ], + [ + 51132369, + 13064316 + ], + [ + 64679476, + 33429387 + ], + [ + 93626668, + 38128599 + ], + [ + 65794517, + 85432266 + ], + [ + 95019367, + 21975917 + ], + [ + 77668672, + 16448075 + ], + [ + 47315650, + 24433530 + ], + [ + 99318980, + 34621526 + ], + [ + 94299303, + 97785219 + ], + [ + 63681382, + 41276401 + ], + [ + 15742267, + 32994350 + ], + [ + 12238873, + 36991093 + ], + [ + 77678578, + 84302634 + ], + [ + 79086169, + 86726436 + ], + [ + 63380594, + 45832827 + ], + [ + 92951751, + 1915063 + ], + [ + 59613414, + 99045989 + ], + [ + 75355631, + 22612662 + ], + [ + 32905244, + 5613648 + ], + [ + 98982424, + 34442076 + ], + [ + 36858158, + 12985814 + ], + [ + 7700556, + 24587267 + ], + [ + 30355129, + 48411787 + ], + [ + 15394440, + 38141198 + ], + [ + 64863198, + 52613856 + ], + [ + 3148288, + 14171057 + ], + [ + 98851609, + 94093772 + ], + [ + 76851060, + 31496693 + ], + [ + 1895089, + 54044189 + ], + [ + 34469396, + 3108367 + ], + [ + 6613215, + 77701753 + ], + [ + 93624061, + 73933041 + ], + [ + 19215472, + 95495550 + ], + [ + 90504415, + 45739337 + ], + [ + 58643266, + 53271920 + ], + [ + 47636751, + 33583354 + ], + [ + 72172353, + 65164046 + ], + [ + 43500526, + 92079374 + ], + [ + 12856006, + 71046039 + ], + [ + 85288745, + 90311122 + ], + [ + 71691975, + 81494912 + ], + [ + 64291454, + 9211027 + ], + [ + 82774942, + 87130768 + ], + [ + 25534458, + 84447028 + ], + [ + 43413497, + 58732515 + ], + [ + 30015715, + 66237132 + ], + [ + 38738747, + 5228188 + ], + [ + 92606548, + 48079050 + ], + [ + 41646415, + 24145295 + ], + [ + 1282327, + 76336238 + ], + [ + 83337729, + 93529181 + ], + [ + 82520721, + 69510573 + ], + [ + 54504063, + 6176160 + ], + [ + 35303451, + 93403314 + ], + [ + 42579974, + 23656744 + ], + [ + 43844419, + 80961810 + ], + [ + 35987147, + 33250318 + ], + [ + 19196631, + 19972824 + ], + [ + 70550149, + 87850359 + ], + [ + 71819493, + 63612461 + ], + [ + 75706088, + 29524871 + ], + [ + 59431624, + 6694070 + ], + [ + 569669, + 27443997 + ], + [ + 97094336, + 12793684 + ], + [ + 6517704, + 28006213 + ], + [ + 74493664, + 20910926 + ], + [ + 9936063, + 42058362 + ], + [ + 33099428, + 46529424 + ], + [ + 9680763, + 87875094 + ], + [ + 79505762, + 73776837 + ], + [ + 52626722, + 73143916 + ], + [ + 80318758, + 24217968 + ], + [ + 15101217, + 91673073 + ], + [ + 25632242, + 83346784 + ], + [ + 94451310, + 19423714 + ], + [ + 4895341, + 15852822 + ], + [ + 50758848, + 37066933 + ], + [ + 66008091, + 67384091 + ], + [ + 63443610, + 43552400 + ], + [ + 37363657, + 89183132 + ], + [ + 73402314, + 4250454 + ], + [ + 1348242, + 76119590 + ], + [ + 29743493, + 20913302 + ], + [ + 26135517, + 22435984 + ], + [ + 41019164, + 50949903 + ], + [ + 50288889, + 35411661 + ], + [ + 42339534, + 3365162 + ], + [ + 31054090, + 18693664 + ], + [ + 46492940, + 43967227 + ], + [ + 46831480, + 34940888 + ], + [ + 24402560, + 22812241 + ], + [ + 75845472, + 4882345 + ], + [ + 50648487, + 40755891 + ], + [ + 26139391, + 67248174 + ], + [ + 57384888, + 74516375 + ], + [ + 39790515, + 80675438 + ], + [ + 62477211, + 87418681 + ], + [ + 79715755, + 20081393 + ], + [ + 48213684, + 78464869 + ], + [ + 83817130, + 56391184 + ], + [ + 4657905, + 2656899 + ], + [ + 51883010, + 14780395 + ], + [ + 81755847, + 6679889 + ], + [ + 86896075, + 26022448 + ], + [ + 3487598, + 85488546 + ], + [ + 54250189, + 4914923 + ], + [ + 81619719, + 84696889 + ], + [ + 10477051, + 92533487 + ], + [ + 52127666, + 76647434 + ], + [ + 44630292, + 18683231 + ], + [ + 73427205, + 97574195 + ], + [ + 53224868, + 60798569 + ], + [ + 94169557, + 71694064 + ], + [ + 40092517, + 1628556 + ], + [ + 59295285, + 90635452 + ], + [ + 37472393, + 25795285 + ], + [ + 66926036, + 53415220 + ], + [ + 98833067, + 56164410 + ], + [ + 46104987, + 49628958 + ], + [ + 97016570, + 22652184 + ], + [ + 22298273, + 77694019 + ], + [ + 20394276, + 90660955 + ], + [ + 60918465, + 64071851 + ], + [ + 50651011, + 46101869 + ], + [ + 20520580, + 37427398 + ], + [ + 44368664, + 47078401 + ], + [ + 45852983, + 3761550 + ], + [ + 22233368, + 85117593 + ], + [ + 84167690, + 59953382 + ], + [ + 75570830, + 13259725 + ], + [ + 69274398, + 65463825 + ], + [ + 24448106, + 46906999 + ], + [ + 51808195, + 92026127 + ], + [ + 23957250, + 41692441 + ], + [ + 89755739, + 89961123 + ], + [ + 29965655, + 55046440 + ], + [ + 18553466, + 57293104 + ], + [ + 14249013, + 75426879 + ], + [ + 48816173, + 84482797 + ], + [ + 43118560, + 67161478 + ], + [ + 79427825, + 76293945 + ], + [ + 12177878, + 52900200 + ], + [ + 19523344, + 35632587 + ], + [ + 61759887, + 60409601 + ], + [ + 69704800, + 30600851 + ], + [ + 29640133, + 87058682 + ], + [ + 51330857, + 3704509 + ], + [ + 38623213, + 52776613 + ], + [ + 14648350, + 35099909 + ], + [ + 65570438, + 26403472 + ], + [ + 87962167, + 18512088 + ], + [ + 23102764, + 47211743 + ], + [ + 81383029, + 49240781 + ], + [ + 24714028, + 13864909 + ], + [ + 70374485, + 44392196 + ], + [ + 17670557, + 82686765 + ], + [ + 76442622, + 18484034 + ], + [ + 24955924, + 18549848 + ], + [ + 85885411, + 49662189 + ], + [ + 9959396, + 30030945 + ], + [ + 60920082, + 1051125 + ], + [ + 60607532, + 5872455 + ], + [ + 27722403, + 51238192 + ], + [ + 92450764, + 21081220 + ], + [ + 19999068, + 76049092 + ], + [ + 72965784, + 73606670 + ], + [ + 50725602, + 36880899 + ], + [ + 5516062, + 80800369 + ], + [ + 62523588, + 90294005 + ], + [ + 79734688, + 94671032 + ], + [ + 99360876, + 51062288 + ], + [ + 14426183, + 68091978 + ], + [ + 94776208, + 59810494 + ], + [ + 85573860, + 8341746 + ], + [ + 13357007, + 52329920 + ], + [ + 39866917, + 65889247 + ], + [ + 49433021, + 68407040 + ], + [ + 39455464, + 26310391 + ], + [ + 48947020, + 47492188 + ], + [ + 63273430, + 54315272 + ], + [ + 87479304, + 30418787 + ], + [ + 50955755, + 53001112 + ], + [ + 98837231, + 92741825 + ], + [ + 5090839, + 77265579 + ], + [ + 21320621, + 61630785 + ], + [ + 83418648, + 58303312 + ], + [ + 9572569, + 57261401 + ], + [ + 71278558, + 99128570 + ], + [ + 80938397, + 15728890 + ], + [ + 11013203, + 55356043 + ], + [ + 84091695, + 85848390 + ], + [ + 71483896, + 65810811 + ], + [ + 72670619, + 43405587 + ], + [ + 24663456, + 88583731 + ], + [ + 31721464, + 77537921 + ], + [ + 52703293, + 83736082 + ], + [ + 48025771, + 94715339 + ], + [ + 44669697, + 67035074 + ], + [ + 56772675, + 6173869 + ], + [ + 52164258, + 2749002 + ], + [ + 26121803, + 15331403 + ], + [ + 79605231, + 19183170 + ], + [ + 76133830, + 83246485 + ], + [ + 64063652, + 42960218 + ], + [ + 27128946, + 93212184 + ], + [ + 70095544, + 102455 + ], + [ + 87628729, + 67514316 + ], + [ + 16828511, + 84612498 + ], + [ + 1048385, + 44730643 + ], + [ + 48604734, + 12160055 + ], + [ + 70797379, + 79834793 + ], + [ + 76882046, + 67249456 + ], + [ + 63406836, + 5677003 + ], + [ + 56274, + 47051765 + ], + [ + 68955573, + 43803087 + ], + [ + 9074145, + 96361758 + ], + [ + 9228975, + 63881431 + ], + [ + 96914520, + 99408495 + ], + [ + 45269495, + 80816498 + ], + [ + 78779908, + 57551254 + ], + [ + 18468175, + 94678588 + ], + [ + 2761488, + 87978637 + ], + [ + 94507365, + 38650101 + ], + [ + 98353498, + 3598426 + ], + [ + 26021370, + 8953061 + ], + [ + 80671501, + 83905823 + ], + [ + 91855010, + 48313010 + ], + [ + 38572471, + 54329589 + ], + [ + 58050916, + 94215707 + ], + [ + 15186544, + 28787257 + ], + [ + 88630953, + 90175053 + ], + [ + 29851862, + 81738699 + ], + [ + 60446135, + 79781729 + ], + [ + 73156619, + 24463197 + ], + [ + 27094344, + 70962505 + ], + [ + 14674183, + 49475597 + ], + [ + 54755810, + 6174147 + ], + [ + 98740794, + 55321552 + ], + [ + 64674388, + 92561204 + ], + [ + 73491164, + 69920615 + ], + [ + 9898568, + 73694070 + ], + [ + 73203106, + 99199207 + ], + [ + 62717310, + 7984884 + ], + [ + 87950974, + 81768094 + ], + [ + 61129842, + 53875137 + ], + [ + 70858041, + 51740217 + ], + [ + 53574138, + 9025044 + ], + [ + 24675363, + 36937804 + ], + [ + 66582860, + 69504245 + ], + [ + 14248357, + 68641402 + ], + [ + 97599609, + 62240662 + ], + [ + 92290838, + 50125091 + ], + [ + 72382679, + 58398893 + ], + [ + 10493791, + 49345612 + ], + [ + 61302680, + 88647968 + ], + [ + 63469846, + 41403871 + ], + [ + 76801564, + 33903729 + ], + [ + 63017014, + 50038386 + ], + [ + 1353880, + 31473733 + ], + [ + 37561813, + 77490379 + ], + [ + 55153429, + 83142599 + ], + [ + 94629423, + 24205903 + ], + [ + 97118964, + 61249987 + ], + [ + 11318369, + 10486509 + ], + [ + 7074473, + 43582634 + ], + [ + 96756313, + 51545065 + ], + [ + 79257090, + 8685611 + ], + [ + 40199108, + 63381374 + ], + [ + 3831681, + 6575489 + ], + [ + 19129478, + 90060081 + ], + [ + 86268077, + 14239669 + ], + [ + 79016673, + 61727624 + ], + [ + 26380310, + 59637331 + ], + [ + 33509943, + 39839255 + ], + [ + 81299610, + 13421540 + ], + [ + 9592438, + 94403453 + ], + [ + 70778236, + 23757456 + ], + [ + 76340381, + 15869206 + ], + [ + 93946791, + 65719064 + ], + [ + 71251209, + 87892784 + ], + [ + 5709889, + 89372166 + ], + [ + 75742726, + 49105360 + ], + [ + 42689458, + 61434599 + ], + [ + 41446426, + 51810596 + ], + [ + 1998963, + 63486066 + ], + [ + 35231461, + 18905502 + ], + [ + 77098718, + 13523580 + ], + [ + 64566924, + 48465145 + ], + [ + 71928485, + 75476940 + ], + [ + 64136469, + 56081481 + ], + [ + 16685592, + 75625320 + ], + [ + 93164788, + 82216551 + ], + [ + 73074810, + 65860133 + ], + [ + 16256422, + 43092935 + ], + [ + 29778702, + 60555805 + ], + [ + 20385350, + 42108256 + ], + [ + 97684522, + 85495528 + ], + [ + 78458821, + 33664870 + ], + [ + 59908790, + 50311350 + ], + [ + 15053031, + 485200 + ], + [ + 33889894, + 65370198 + ], + [ + 91699915, + 3582616 + ], + [ + 33665327, + 24814065 + ], + [ + 29051896, + 57406547 + ], + [ + 24205292, + 53954047 + ], + [ + 65703822, + 58090465 + ], + [ + 94276234, + 55211471 + ], + [ + 61669342, + 44363180 + ], + [ + 37175427, + 72782128 + ], + [ + 91893641, + 8128957 + ], + [ + 77461771, + 63472334 + ], + [ + 90084310, + 99634511 + ], + [ + 76264056, + 56269975 + ], + [ + 67690277, + 37802482 + ], + [ + 14346466, + 79988017 + ], + [ + 90654757, + 80237757 + ], + [ + 87789476, + 54490821 + ], + [ + 81069566, + 7713455 + ], + [ + 42709754, + 35462763 + ], + [ + 13170408, + 88239625 + ], + [ + 69202958, + 37251602 + ], + [ + 4717833, + 46479492 + ], + [ + 98513621, + 69560728 + ], + [ + 48105038, + 39202683 + ], + [ + 85094897, + 27963486 + ], + [ + 93562708, + 23513300 + ], + [ + 26707920, + 29207340 + ], + [ + 72960795, + 84412948 + ], + [ + 31543239, + 8110124 + ], + [ + 952012, + 25527471 + ], + [ + 4235769, + 79186113 + ], + [ + 21056557, + 21429250 + ], + [ + 12306555, + 22715790 + ], + [ + 88319437, + 77865834 + ], + [ + 90575210, + 71904244 + ], + [ + 19949982, + 97346578 + ], + [ + 78343190, + 29644496 + ], + [ + 17143755, + 39279950 + ], + [ + 3920638, + 97713677 + ], + [ + 84520279, + 79647443 + ], + [ + 52673074, + 61107318 + ], + [ + 97773565, + 41332130 + ], + [ + 21530909, + 8988682 + ], + [ + 86305192, + 64393761 + ], + [ + 90155988, + 70261672 + ], + [ + 94511641, + 59802390 + ], + [ + 29767727, + 56506023 + ], + [ + 58206550, + 4821290 + ], + [ + 95094956, + 65701648 + ], + [ + 2559717, + 16801191 + ], + [ + 6353162, + 40679895 + ], + [ + 25041943, + 56716877 + ], + [ + 56949586, + 94973655 + ], + [ + 79155163, + 63121973 + ], + [ + 96791686, + 65602891 + ], + [ + 27175248, + 5889402 + ], + [ + 95721641, + 43380544 + ], + [ + 83466489, + 77616854 + ], + [ + 56765942, + 88699384 + ], + [ + 79624341, + 31404379 + ], + [ + 63124197, + 13207786 + ], + [ + 82184716, + 98592927 + ], + [ + 14752593, + 71743841 + ], + [ + 44975871, + 93382995 + ], + [ + 58840124, + 93354408 + ], + [ + 21622458, + 98357398 + ], + [ + 30670722, + 94614782 + ], + [ + 91757877, + 341796 + ], + [ + 98659274, + 44948715 + ], + [ + 69033622, + 77052938 + ], + [ + 85384962, + 37257111 + ], + [ + 44212660, + 47317207 + ], + [ + 99293192, + 2705132 + ], + [ + 60217690, + 8497579 + ], + [ + 34339054, + 32297066 + ], + [ + 93878971, + 44472496 + ], + [ + 68029103, + 94231099 + ], + [ + 47987886, + 69301194 + ], + [ + 33816449, + 16198520 + ], + [ + 36366611, + 75954382 + ], + [ + 49539546, + 66377251 + ], + [ + 91404250, + 9470756 + ], + [ + 20926809, + 8605658 + ], + [ + 56775880, + 11712581 + ], + [ + 19500291, + 3691868 + ], + [ + 45811813, + 41011056 + ], + [ + 77303115, + 60201105 + ], + [ + 89640889, + 86868849 + ], + [ + 73567010, + 81572712 + ], + [ + 19871596, + 57246300 + ], + [ + 11259305, + 29716997 + ], + [ + 22879184, + 79883945 + ], + [ + 18866150, + 20479909 + ], + [ + 13336703, + 63639222 + ], + [ + 59865494, + 77304586 + ], + [ + 67147582, + 23509463 + ], + [ + 41620921, + 41618815 + ], + [ + 72042469, + 9678010 + ], + [ + 75829407, + 53193704 + ], + [ + 32837639, + 93118691 + ], + [ + 91673475, + 37191893 + ], + [ + 73632495, + 79827906 + ], + [ + 55958181, + 81027540 + ], + [ + 61280090, + 87004053 + ], + [ + 44272385, + 19080991 + ], + [ + 52254194, + 88015009 + ], + [ + 73594154, + 20228365 + ], + [ + 27734977, + 54287597 + ], + [ + 6627828, + 15921656 + ], + [ + 69287756, + 3186575 + ], + [ + 10700723, + 8300130 + ], + [ + 94967584, + 73375809 + ], + [ + 3446090, + 90718656 + ], + [ + 7537989, + 87723475 + ], + [ + 28597722, + 90395886 + ], + [ + 79558365, + 93547539 + ], + [ + 24012616, + 49421789 + ], + [ + 38172930, + 91030852 + ], + [ + 31090580, + 84807793 + ], + [ + 85393284, + 3707584 + ], + [ + 41505569, + 17110458 + ], + [ + 70151716, + 91349061 + ], + [ + 783369, + 11584251 + ], + [ + 35940624, + 6166254 + ], + [ + 58782162, + 32615096 + ], + [ + 18422471, + 80695645 + ], + [ + 4383563, + 36984577 + ], + [ + 97923918, + 62518929 + ], + [ + 57157287, + 48626842 + ], + [ + 13985838, + 48623563 + ], + [ + 254960, + 88955747 + ], + [ + 2712688, + 47231747 + ], + [ + 92089951, + 97663981 + ], + [ + 91508743, + 39933016 + ], + [ + 31374564, + 87726835 + ], + [ + 97505383, + 63149093 + ], + [ + 54519203, + 82889703 + ], + [ + 32709112, + 85128610 + ], + [ + 17122145, + 60683447 + ], + [ + 95371230, + 29259832 + ], + [ + 71064379, + 72128975 + ], + [ + 56443611, + 97550907 + ], + [ + 99226021, + 42168003 + ], + [ + 66987647, + 63082131 + ], + [ + 78725401, + 83493359 + ], + [ + 20621374, + 5680248 + ], + [ + 82361581, + 96334905 + ], + [ + 84118989, + 19615301 + ], + [ + 6846589, + 40206721 + ], + [ + 95954033, + 69160781 + ], + [ + 5354373, + 82457993 + ], + [ + 1961548, + 77988129 + ], + [ + 69781199, + 53720833 + ], + [ + 3484693, + 70651104 + ], + [ + 6299299, + 80438401 + ], + [ + 1263434, + 39973819 + ], + [ + 28074440, + 78893587 + ], + [ + 25122121, + 30691362 + ], + [ + 97430497, + 94544987 + ], + [ + 27255586, + 11378111 + ], + [ + 13797357, + 70735115 + ], + [ + 87108876, + 25509510 + ], + [ + 82027143, + 98791527 + ], + [ + 19109655, + 6659354 + ], + [ + 17841012, + 2490789 + ], + [ + 1033655, + 3932522 + ], + [ + 95271109, + 45507983 + ], + [ + 15239175, + 32571604 + ], + [ + 72175133, + 11119793 + ], + [ + 50769490, + 76660681 + ], + [ + 7846612, + 97886016 + ], + [ + 9937536, + 99563898 + ], + [ + 70013349, + 46716050 + ], + [ + 1959991, + 18475501 + ], + [ + 55877217, + 4308931 + ], + [ + 54061044, + 35631621 + ], + [ + 81268247, + 99633230 + ], + [ + 91270825, + 70371296 + ], + [ + 2769779, + 56146754 + ], + [ + 22556355, + 37112575 + ], + [ + 65390673, + 23673815 + ], + [ + 27863715, + 16038476 + ], + [ + 35367136, + 99551372 + ], + [ + 26432020, + 91783244 + ], + [ + 34721428, + 48631271 + ], + [ + 30502540, + 83238992 + ], + [ + 95738689, + 80380607 + ], + [ + 35772297, + 67171581 + ], + [ + 34088133, + 42011882 + ], + [ + 69099822, + 32436977 + ], + [ + 93944277, + 43406888 + ], + [ + 55814709, + 72529752 + ], + [ + 41386333, + 36400794 + ], + [ + 63819675, + 1562993 + ], + [ + 54672932, + 27276956 + ], + [ + 82143933, + 14758605 + ], + [ + 15678940, + 25699614 + ], + [ + 81757942, + 26015988 + ], + [ + 78462647, + 4798577 + ], + [ + 49593431, + 1089533 + ], + [ + 12994566, + 572988 + ], + [ + 75905394, + 98623321 + ], + [ + 73737555, + 65549680 + ], + [ + 84446920, + 53444506 + ], + [ + 54250428, + 27015006 + ], + [ + 90259349, + 90764516 + ], + [ + 45613345, + 90920800 + ], + [ + 25473651, + 86493060 + ], + [ + 2623264, + 13000921 + ], + [ + 86937800, + 32743124 + ], + [ + 24965915, + 73977303 + ], + [ + 71744217, + 25751690 + ], + [ + 26044865, + 93409223 + ], + [ + 26504079, + 78829456 + ], + [ + 7648713, + 81629785 + ], + [ + 5355778, + 42624788 + ], + [ + 98245795, + 21621456 + ], + [ + 46302557, + 3746057 + ], + [ + 31015405, + 77210702 + ], + [ + 2670073, + 4747126 + ], + [ + 8013588, + 30079795 + ], + [ + 70542621, + 79659145 + ], + [ + 72337591, + 72137672 + ], + [ + 67129524, + 80818377 + ], + [ + 90237320, + 10213949 + ], + [ + 7331596, + 33453606 + ], + [ + 48875126, + 5574795 + ], + [ + 57911513, + 57559669 + ], + [ + 90136273, + 32320364 + ], + [ + 85945072, + 76831267 + ], + [ + 75459796, + 23130937 + ], + [ + 60717165, + 16303426 + ], + [ + 3264370, + 67476640 + ], + [ + 36902145, + 81030496 + ], + [ + 94390836, + 51341653 + ], + [ + 93740305, + 56346388 + ], + [ + 80083847, + 94923793 + ], + [ + 45448683, + 935944 + ], + [ + 55215014, + 68335174 + ], + [ + 88942809, + 52698067 + ], + [ + 82326969, + 86480841 + ], + [ + 93358083, + 43290592 + ], + [ + 15279844, + 98963098 + ], + [ + 91856178, + 53621389 + ], + [ + 36878357, + 30903542 + ], + [ + 77551105, + 30241994 + ], + [ + 28248645, + 72413025 + ], + [ + 29826453, + 74610280 + ], + [ + 16355, + 73852452 + ], + [ + 52852779, + 88179768 + ], + [ + 60846167, + 97244831 + ], + [ + 82202290, + 56651737 + ], + [ + 85520440, + 1720464 + ], + [ + 22058105, + 62456557 + ], + [ + 91259413, + 76660783 + ], + [ + 85491500, + 39733419 + ], + [ + 90705827, + 38098141 + ], + [ + 69980165, + 46197638 + ], + [ + 8730443, + 95467286 + ], + [ + 42253680, + 57781499 + ], + [ + 35473873, + 889749 + ], + [ + 22848428, + 96931783 + ], + [ + 62741883, + 71550699 + ], + [ + 26723737, + 91664270 + ], + [ + 17209559, + 4195045 + ], + [ + 19751472, + 99849757 + ], + [ + 17396110, + 12084627 + ], + [ + 35090672, + 61953601 + ], + [ + 97725847, + 30541673 + ], + [ + 54235536, + 92159321 + ], + [ + 68477351, + 85990048 + ], + [ + 55715399, + 35564053 + ], + [ + 99443225, + 95766979 + ], + [ + 71468569, + 24417076 + ], + [ + 84033618, + 56243480 + ], + [ + 43322114, + 82722109 + ], + [ + 62395944, + 66585721 + ], + [ + 55515383, + 11104427 + ], + [ + 31901890, + 53673873 + ], + [ + 25079095, + 78176777 + ], + [ + 22413209, + 16170016 + ], + [ + 28307098, + 61455296 + ], + [ + 81546694, + 54664120 + ], + [ + 59374681, + 84308344 + ], + [ + 80267765, + 59895002 + ], + [ + 20862006, + 18373266 + ], + [ + 80758991, + 79066904 + ], + [ + 33041135, + 63760136 + ], + [ + 92678459, + 70372723 + ], + [ + 45750198, + 4021999 + ], + [ + 62943882, + 2277002 + ], + [ + 7542236, + 11585024 + ], + [ + 41087392, + 20229888 + ], + [ + 26439249, + 51646520 + ], + [ + 12796887, + 43696582 + ], + [ + 98074704, + 19177151 + ], + [ + 45244146, + 70150796 + ], + [ + 23231782, + 12006061 + ], + [ + 7024312, + 44731834 + ], + [ + 9016129, + 41780973 + ], + [ + 13520221, + 79405477 + ], + [ + 29464290, + 78055748 + ], + [ + 10892352, + 28585767 + ], + [ + 99028333, + 74813104 + ], + [ + 90392760, + 27272257 + ], + [ + 68880947, + 37491024 + ], + [ + 88820451, + 65450097 + ], + [ + 43229552, + 1195551 + ], + [ + 34203374, + 10815798 + ], + [ + 66206160, + 9392024 + ], + [ + 12790626, + 49224875 + ], + [ + 80354981, + 94273481 + ], + [ + 43375526, + 53585574 + ], + [ + 13869697, + 13863177 + ], + [ + 47458389, + 77410809 + ], + [ + 46714281, + 88615230 + ], + [ + 36778269, + 94099893 + ], + [ + 18347892, + 41364078 + ], + [ + 93000552, + 64217027 + ], + [ + 70319855, + 3386234 + ], + [ + 32638673, + 53737949 + ], + [ + 58691534, + 50187255 + ], + [ + 15583346, + 87759662 + ], + [ + 585847, + 4044418 + ], + [ + 83537624, + 26305736 + ], + [ + 5275934, + 83587688 + ], + [ + 47150901, + 17027141 + ], + [ + 30311208, + 4651848 + ], + [ + 15830078, + 23673819 + ], + [ + 83642954, + 88159311 + ], + [ + 36471050, + 86380969 + ], + [ + 83179501, + 54931334 + ], + [ + 12209015, + 46513466 + ], + [ + 452208, + 37241508 + ], + [ + 24965484, + 36450833 + ], + [ + 2515221, + 50892850 + ], + [ + 13560042, + 58720151 + ], + [ + 10989972, + 65645277 + ], + [ + 38103613, + 6554927 + ], + [ + 12912145, + 1222250 + ], + [ + 76743971, + 53814132 + ], + [ + 56565657, + 64579066 + ], + [ + 37891726, + 38740113 + ], + [ + 54739022, + 63840349 + ], + [ + 92776756, + 50198993 + ], + [ + 26821841, + 73049933 + ], + [ + 25875957, + 1912269 + ], + [ + 20264651, + 97012015 + ], + [ + 17686247, + 35301788 + ], + [ + 88968241, + 32257855 + ], + [ + 63315540, + 40481599 + ], + [ + 72116181, + 98009176 + ], + [ + 7347601, + 25715008 + ], + [ + 91590473, + 50670577 + ], + [ + 68207556, + 87406695 + ], + [ + 36498421, + 45945012 + ], + [ + 2891228, + 34380192 + ], + [ + 99943668, + 2529176 + ], + [ + 59380061, + 19214643 + ], + [ + 97350149, + 4299814 + ], + [ + 49296144, + 29524325 + ], + [ + 76730342, + 64690867 + ], + [ + 88888861, + 10232831 + ], + [ + 3141718, + 72081643 + ], + [ + 66326508, + 43648885 + ], + [ + 65151050, + 33995313 + ], + [ + 14064893, + 14182017 + ], + [ + 84817737, + 3211771 + ], + [ + 1315008, + 53773656 + ], + [ + 83842251, + 88256322 + ], + [ + 43990575, + 32049997 + ], + [ + 44223688, + 43816804 + ], + [ + 33100203, + 98433321 + ], + [ + 97052709, + 22997958 + ], + [ + 47321903, + 9320344 + ], + [ + 61368102, + 7532111 + ], + [ + 24551680, + 97196987 + ], + [ + 97199365, + 9565341 + ], + [ + 76332759, + 7905722 + ], + [ + 35329187, + 48229893 + ], + [ + 32427380, + 72884342 + ], + [ + 1909724, + 23721948 + ], + [ + 8837557, + 575551 + ], + [ + 1153699, + 91193282 + ], + [ + 48494645, + 19491400 + ], + [ + 60819742, + 90902587 + ], + [ + 74239505, + 55292952 + ], + [ + 54110049, + 65828038 + ], + [ + 41418971, + 70187065 + ], + [ + 73628940, + 1728454 + ], + [ + 62017359, + 88844742 + ], + [ + 98063266, + 91483916 + ], + [ + 11509191, + 77831618 + ], + [ + 58613367, + 90989398 + ], + [ + 49085751, + 96589426 + ], + [ + 46016775, + 40435793 + ], + [ + 31489519, + 95188467 + ], + [ + 13192461, + 69107524 + ], + [ + 17343814, + 45931536 + ], + [ + 17095343, + 54959787 + ], + [ + 85522029, + 21280551 + ], + [ + 11323713, + 77765424 + ], + [ + 34084637, + 93392252 + ], + [ + 98152206, + 16225485 + ], + [ + 38086828, + 54824459 + ], + [ + 74101864, + 80226427 + ], + [ + 13123964, + 32384754 + ], + [ + 85786062, + 28738620 + ], + [ + 86119109, + 60231419 + ], + [ + 25601586, + 23789345 + ], + [ + 39731509, + 34458492 + ], + [ + 42700941, + 83251408 + ], + [ + 65598454, + 90157898 + ], + [ + 19178418, + 92398581 + ], + [ + 3050055, + 46793301 + ], + [ + 53703831, + 80944833 + ], + [ + 10787333, + 23698787 + ], + [ + 70638207, + 89255610 + ], + [ + 54556427, + 16660626 + ], + [ + 84713948, + 51960476 + ], + [ + 84965744, + 63966122 + ], + [ + 65138594, + 29220438 + ], + [ + 13231127, + 3337447 + ], + [ + 91142322, + 19842113 + ], + [ + 90061404, + 85517256 + ], + [ + 76494382, + 5992114 + ], + [ + 90979772, + 53177304 + ], + [ + 71461624, + 20076456 + ], + [ + 42371666, + 92941265 + ], + [ + 15630557, + 76646986 + ], + [ + 1610201, + 48624521 + ], + [ + 98305001, + 21264752 + ], + [ + 37825302, + 33587812 + ], + [ + 42367766, + 75677127 + ], + [ + 4431586, + 50860759 + ], + [ + 52433764, + 33469475 + ], + [ + 2284705, + 69658930 + ], + [ + 61974166, + 97941357 + ], + [ + 93638055, + 21970428 + ], + [ + 74938539, + 69815071 + ], + [ + 3638541, + 39415914 + ], + [ + 48658555, + 72769321 + ], + [ + 39592060, + 71133466 + ], + [ + 300522, + 84640891 + ], + [ + 59068219, + 38387613 + ], + [ + 82492937, + 9658440 + ], + [ + 59284305, + 85192566 + ], + [ + 76164232, + 97491120 + ], + [ + 15279649, + 73331639 + ], + [ + 19663772, + 58392586 + ], + [ + 28553162, + 42519864 + ], + [ + 41709579, + 59726457 + ], + [ + 69427042, + 28500024 + ], + [ + 52987453, + 18778862 + ], + [ + 36085687, + 75872405 + ], + [ + 8846440, + 61896892 + ], + [ + 4771358, + 62749284 + ], + [ + 19393068, + 71361329 + ], + [ + 28894391, + 29928140 + ], + [ + 33413553, + 44030778 + ], + [ + 15502168, + 16486915 + ], + [ + 12545262, + 26213640 + ], + [ + 22191895, + 47381406 + ], + [ + 39254788, + 73582972 + ], + [ + 10096386, + 92258510 + ], + [ + 5879314, + 84057678 + ], + [ + 43937105, + 76511709 + ], + [ + 62502916, + 49117360 + ], + [ + 36123315, + 22471617 + ], + [ + 63744155, + 2628300 + ], + [ + 5616839, + 14937098 + ], + [ + 61981949, + 75773484 + ], + [ + 61643784, + 89708595 + ], + [ + 35886339, + 13071307 + ], + [ + 87451094, + 52030126 + ], + [ + 6917358, + 84914685 + ], + [ + 93354263, + 68759150 + ], + [ + 75424633, + 84123105 + ], + [ + 40218106, + 41968141 + ], + [ + 66987543, + 52220445 + ], + [ + 40739123, + 38833377 + ], + [ + 72967881, + 33223341 + ], + [ + 5778690, + 61661655 + ], + [ + 57449509, + 24933595 + ], + [ + 89002018, + 5000693 + ], + [ + 99303720, + 4942290 + ], + [ + 77852556, + 57405319 + ], + [ + 15991088, + 83465645 + ], + [ + 8810420, + 37535644 + ], + [ + 96555050, + 31473835 + ], + [ + 62251814, + 41386035 + ], + [ + 33609480, + 71291937 + ], + [ + 81208748, + 51201554 + ], + [ + 23001972, + 96513108 + ], + [ + 21508967, + 28316115 + ], + [ + 11607084, + 54451671 + ], + [ + 92961968, + 74412709 + ], + [ + 44533800, + 2822428 + ], + [ + 54674254, + 75500226 + ], + [ + 86181128, + 42928151 + ], + [ + 95989475, + 67478952 + ], + [ + 5273423, + 16592305 + ], + [ + 55326521, + 40422257 + ], + [ + 79374005, + 68745106 + ], + [ + 31870144, + 20415936 + ], + [ + 22669694, + 79096349 + ], + [ + 41341188, + 99395282 + ], + [ + 19931835, + 54565570 + ], + [ + 60080905, + 23356020 + ], + [ + 14212692, + 9443167 + ], + [ + 6843849, + 12756953 + ], + [ + 59887912, + 2075359 + ], + [ + 12840398, + 2359773 + ], + [ + 77659947, + 94493332 + ], + [ + 91462214, + 82570726 + ], + [ + 83781715, + 52427708 + ], + [ + 73924252, + 85673713 + ], + [ + 66590160, + 81166519 + ], + [ + 61936554, + 2624570 + ], + [ + 84048453, + 39919509 + ], + [ + 60810308, + 235996 + ], + [ + 62713402, + 27554152 + ], + [ + 64478604, + 22736202 + ], + [ + 64921964, + 31388105 + ], + [ + 59806018, + 79841503 + ], + [ + 53118247, + 54308496 + ], + [ + 82900220, + 15532416 + ], + [ + 79398891, + 84040962 + ], + [ + 39163035, + 87714201 + ], + [ + 33969239, + 34235249 + ], + [ + 75254806, + 91963545 + ], + [ + 8610979, + 92692025 + ], + [ + 11738145, + 14037102 + ], + [ + 46391134, + 12620392 + ], + [ + 25984921, + 62423879 + ], + [ + 7967361, + 83312684 + ], + [ + 18147364, + 51950635 + ], + [ + 35146630, + 93932003 + ], + [ + 4098404, + 52509733 + ], + [ + 11307912, + 2547972 + ], + [ + 85286446, + 27717684 + ], + [ + 32005734, + 27228817 + ], + [ + 67243577, + 67545815 + ], + [ + 15237645, + 77851635 + ], + [ + 760961, + 90576516 + ], + [ + 61940461, + 13712531 + ], + [ + 25460907, + 25935249 + ], + [ + 1704318, + 87664968 + ], + [ + 67732865, + 15242871 + ], + [ + 44208278, + 33761739 + ], + [ + 53931515, + 75584524 + ], + [ + 26707521, + 54646742 + ], + [ + 73644807, + 72071581 + ], + [ + 19998806, + 38793239 + ], + [ + 26761226, + 98715866 + ], + [ + 6904852, + 22148022 + ], + [ + 46056751, + 66162173 + ], + [ + 49237482, + 17253914 + ], + [ + 90921871, + 50219298 + ], + [ + 34578761, + 78195028 + ], + [ + 6684683, + 4749169 + ], + [ + 16988687, + 43052142 + ], + [ + 78003293, + 73161888 + ], + [ + 24368075, + 80115912 + ], + [ + 64850620, + 44403547 + ], + [ + 41639688, + 5964213 + ], + [ + 39664175, + 47470850 + ], + [ + 25891802, + 79599359 + ], + [ + 37904493, + 93419795 + ], + [ + 16831668, + 12388466 + ], + [ + 63816086, + 68745733 + ], + [ + 76666302, + 86822519 + ], + [ + 2177461, + 42285036 + ], + [ + 29001239, + 68928465 + ], + [ + 16262700, + 80999767 + ], + [ + 95758256, + 79610519 + ], + [ + 5045016, + 48390321 + ], + [ + 6695329, + 22578723 + ], + [ + 89559327, + 99128162 + ], + [ + 36178378, + 23946304 + ], + [ + 80903939, + 70411341 + ], + [ + 54191681, + 19953250 + ], + [ + 55250705, + 14223230 + ], + [ + 28155567, + 16166337 + ], + [ + 3039288, + 7795088 + ], + [ + 28406752, + 99740643 + ], + [ + 44616089, + 80044752 + ], + [ + 75434515, + 58589016 + ], + [ + 46142467, + 49730487 + ], + [ + 81291654, + 56771916 + ], + [ + 39836664, + 14564695 + ], + [ + 51163196, + 91374472 + ], + [ + 54014883, + 39393438 + ], + [ + 68878975, + 73317129 + ], + [ + 63244315, + 1415283 + ], + [ + 87760061, + 19008850 + ], + [ + 43749499, + 37363511 + ], + [ + 27243950, + 88111614 + ], + [ + 49791660, + 2197713 + ], + [ + 80111378, + 89037008 + ], + [ + 51499890, + 345393 + ], + [ + 34149875, + 20405364 + ], + [ + 54611059, + 88885502 + ], + [ + 1149182, + 69587167 + ], + [ + 81842056, + 79966190 + ], + [ + 84860213, + 72377354 + ], + [ + 47056148, + 10007365 + ], + [ + 43742354, + 83750603 + ], + [ + 59954017, + 69086207 + ], + [ + 30578374, + 93991635 + ], + [ + 18306612, + 32415973 + ], + [ + 4578182, + 6233781 + ], + [ + 67910702, + 20940066 + ], + [ + 59132021, + 40911394 + ], + [ + 93400348, + 23339494 + ], + [ + 16363908, + 86733080 + ], + [ + 38318874, + 47490485 + ], + [ + 26851579, + 73789519 + ], + [ + 3213001, + 96893560 + ], + [ + 50545440, + 24057469 + ], + [ + 40357588, + 57541645 + ], + [ + 5922152, + 19022598 + ], + [ + 19998431, + 28481204 + ], + [ + 58456707, + 33983400 + ], + [ + 24644418, + 19367419 + ], + [ + 6308761, + 66141640 + ], + [ + 1426240, + 77315753 + ], + [ + 88225099, + 74978596 + ], + [ + 22248136, + 16103746 + ], + [ + 67436508, + 7696498 + ], + [ + 98197185, + 20725103 + ], + [ + 23176111, + 29284395 + ], + [ + 4269739, + 71636343 + ], + [ + 41796249, + 25271784 + ], + [ + 18839387, + 98823538 + ], + [ + 86189384, + 50541146 + ], + [ + 61316254, + 12115336 + ], + [ + 18556440, + 75286044 + ], + [ + 64347871, + 76535597 + ], + [ + 78893082, + 10068312 + ], + [ + 85854658, + 34740664 + ], + [ + 35275771, + 41736416 + ], + [ + 48957159, + 50485560 + ], + [ + 77931415, + 563670 + ], + [ + 5463347, + 11709220 + ], + [ + 53434169, + 42702849 + ], + [ + 69675486, + 41500605 + ], + [ + 9265641, + 29654261 + ], + [ + 27071604, + 73570210 + ], + [ + 7987128, + 12984533 + ], + [ + 37392331, + 2152562 + ], + [ + 94462334, + 36656727 + ], + [ + 19580459, + 26358653 + ], + [ + 40469312, + 67207355 + ], + [ + 25836390, + 45391069 + ], + [ + 72299917, + 37443817 + ], + [ + 62477663, + 99416526 + ], + [ + 74296664, + 2876540 + ], + [ + 75324126, + 15890822 + ], + [ + 54757426, + 85186539 + ], + [ + 47744398, + 49971052 + ], + [ + 27528417, + 89886115 + ], + [ + 78025716, + 48303074 + ], + [ + 40799384, + 4845733 + ], + [ + 16454275, + 12470259 + ], + [ + 14351360, + 29390713 + ], + [ + 59983985, + 85116004 + ], + [ + 2222223, + 31002845 + ], + [ + 71023977, + 58573185 + ], + [ + 12482533, + 25545834 + ], + [ + 8411121, + 13080584 + ], + [ + 46223373, + 10193224 + ], + [ + 46564668, + 77360422 + ], + [ + 82005771, + 52199213 + ], + [ + 42839971, + 62293480 + ], + [ + 31569670, + 1680631 + ], + [ + 56592387, + 32498014 + ], + [ + 19627318, + 42263281 + ], + [ + 257232, + 3459312 + ], + [ + 14825618, + 98712192 + ], + [ + 70844161, + 19399270 + ], + [ + 71480343, + 18624319 + ], + [ + 94325888, + 18099315 + ], + [ + 81574490, + 85381255 + ], + [ + 84867926, + 61583256 + ], + [ + 91949854, + 96222142 + ], + [ + 13010742, + 16614042 + ], + [ + 22721611, + 72556836 + ], + [ + 4958371, + 53973472 + ], + [ + 66111122, + 9900310 + ], + [ + 15549419, + 29075889 + ], + [ + 70862257, + 18518974 + ], + [ + 31428351, + 1604371 + ], + [ + 84079236, + 38153117 + ], + [ + 45894904, + 80556746 + ], + [ + 15381773, + 10757920 + ], + [ + 9628634, + 7263522 + ], + [ + 88364798, + 21261052 + ], + [ + 43618995, + 83661607 + ], + [ + 6785501, + 28944508 + ], + [ + 87522227, + 89497024 + ], + [ + 34284130, + 36570702 + ], + [ + 96378391, + 85346240 + ], + [ + 7535215, + 87810344 + ], + [ + 7414663, + 82194777 + ], + [ + 86251060, + 64013551 + ], + [ + 89953881, + 33386567 + ], + [ + 9365794, + 23478636 + ], + [ + 36627396, + 42283970 + ], + [ + 43926549, + 57132374 + ], + [ + 75863139, + 5428558 + ], + [ + 35682769, + 72910234 + ], + [ + 30551676, + 68504269 + ], + [ + 78023548, + 41581048 + ], + [ + 17147238, + 70286334 + ], + [ + 19005369, + 12943363 + ], + [ + 67162731, + 99760967 + ], + [ + 71054888, + 41972023 + ], + [ + 59682894, + 929336 + ], + [ + 9974343, + 69973084 + ], + [ + 22346482, + 87242373 + ], + [ + 86573721, + 6070939 + ], + [ + 85537832, + 90118129 + ], + [ + 47411793, + 92838956 + ], + [ + 54827056, + 40922683 + ], + [ + 94805021, + 51874722 + ], + [ + 74859127, + 72125764 + ], + [ + 29909179, + 88594819 + ], + [ + 65468564, + 26640714 + ], + [ + 14474695, + 12882701 + ], + [ + 84845889, + 55045780 + ], + [ + 82815700, + 55757047 + ], + [ + 77971287, + 69809701 + ], + [ + 10485522, + 18719387 + ], + [ + 51711997, + 61013318 + ], + [ + 23173118, + 98845919 + ], + [ + 65413525, + 41136661 + ], + [ + 27608153, + 41868247 + ], + [ + 87472121, + 4985553 + ], + [ + 51387903, + 31567789 + ], + [ + 63081612, + 78239963 + ], + [ + 31278932, + 77862407 + ], + [ + 68705431, + 7241753 + ], + [ + 84848891, + 43430050 + ], + [ + 21950683, + 68020937 + ], + [ + 96205731, + 30217229 + ], + [ + 27353265, + 91472938 + ], + [ + 95820115, + 78818694 + ], + [ + 18452954, + 35093594 + ], + [ + 84125611, + 54823382 + ], + [ + 18492231, + 1063652 + ], + [ + 48320027, + 84540198 + ], + [ + 57742951, + 15335302 + ], + [ + 52796659, + 11722310 + ], + [ + 10183009, + 59749275 + ], + [ + 61732420, + 42539075 + ], + [ + 10485602, + 13069452 + ], + [ + 13843841, + 93485201 + ], + [ + 6268117, + 549256 + ], + [ + 55533588, + 1265453 + ], + [ + 48593781, + 84966529 + ], + [ + 75654080, + 37480287 + ], + [ + 69658374, + 55278855 + ], + [ + 50218442, + 99382432 + ], + [ + 76737001, + 34773935 + ], + [ + 40020286, + 40050956 + ], + [ + 31209183, + 15092533 + ], + [ + 93767770, + 73676211 + ], + [ + 5292948, + 14558823 + ], + [ + 18491325, + 63553215 + ], + [ + 15298415, + 42488097 + ], + [ + 26493427, + 44031912 + ], + [ + 24661594, + 56559361 + ], + [ + 15445738, + 57254231 + ], + [ + 38994418, + 61944109 + ], + [ + 57083226, + 21023650 + ], + [ + 72589848, + 73584841 + ], + [ + 56691860, + 78390554 + ], + [ + 27560141, + 67182467 + ], + [ + 79081342, + 63036860 + ], + [ + 35222958, + 403263 + ], + [ + 59835507, + 53497852 + ], + [ + 83816067, + 58273342 + ], + [ + 63416806, + 90646357 + ], + [ + 26356122, + 72008853 + ], + [ + 58439248, + 91164824 + ], + [ + 60694038, + 12852051 + ], + [ + 57239510, + 92450426 + ], + [ + 9710779, + 10599439 + ], + [ + 36390269, + 26800018 + ], + [ + 16467570, + 69926197 + ], + [ + 73073803, + 44293880 + ], + [ + 19793084, + 38944920 + ], + [ + 84638810, + 97788261 + ], + [ + 73110660, + 66829324 + ], + [ + 11047730, + 94019286 + ], + [ + 4508302, + 23085081 + ], + [ + 56795616, + 64659174 + ], + [ + 91504541, + 17101669 + ], + [ + 25804345, + 16972575 + ], + [ + 89665623, + 14171371 + ], + [ + 8184693, + 87231796 + ], + [ + 1112508, + 45068260 + ], + [ + 82644090, + 83439893 + ], + [ + 74036503, + 40749959 + ], + [ + 26019594, + 22538955 + ], + [ + 32240195, + 39069902 + ], + [ + 31008625, + 21140852 + ], + [ + 16799610, + 105962 + ], + [ + 10770796, + 3543243 + ], + [ + 12667360, + 3139605 + ], + [ + 66219877, + 12442059 + ], + [ + 21123104, + 84762947 + ], + [ + 1705397, + 30715955 + ], + [ + 78971948, + 56913115 + ], + [ + 32186658, + 31291734 + ], + [ + 10137889, + 8051750 + ], + [ + 96148599, + 61669203 + ], + [ + 91729622, + 26534349 + ], + [ + 38566730, + 80964920 + ], + [ + 13341204, + 8377967 + ], + [ + 14290223, + 53135989 + ], + [ + 97627912, + 82798578 + ], + [ + 61797733, + 68069640 + ], + [ + 14062405, + 12730293 + ], + [ + 67951440, + 61467916 + ], + [ + 71463855, + 87499062 + ], + [ + 96039614, + 6667635 + ], + [ + 50981304, + 46392442 + ], + [ + 80846872, + 58217923 + ], + [ + 84962795, + 45953341 + ], + [ + 4309221, + 28292320 + ], + [ + 58908038, + 17832046 + ], + [ + 31779136, + 57510150 + ], + [ + 66343256, + 90650379 + ], + [ + 42946504, + 19527254 + ], + [ + 22983912, + 62634477 + ], + [ + 10903226, + 97892299 + ], + [ + 64604287, + 90956994 + ], + [ + 55944223, + 20804967 + ], + [ + 37105152, + 17338290 + ], + [ + 6520189, + 21768659 + ], + [ + 49872150, + 27625051 + ], + [ + 74342822, + 56632115 + ], + [ + 49501360, + 28408836 + ], + [ + 70103503, + 93012495 + ], + [ + 74246673, + 1104081 + ], + [ + 28760396, + 57092733 + ], + [ + 43959541, + 77020615 + ], + [ + 75078350, + 20789072 + ], + [ + 5603874, + 92340631 + ], + [ + 97894754, + 37808651 + ], + [ + 93366448, + 39957711 + ], + [ + 47934522, + 87202883 + ], + [ + 50912007, + 57069149 + ], + [ + 44213248, + 64610427 + ], + [ + 31843199, + 28398843 + ], + [ + 67718982, + 83623509 + ], + [ + 44951481, + 35167822 + ], + [ + 74024875, + 97324040 + ], + [ + 3419200, + 85945040 + ], + [ + 13955421, + 11232362 + ], + [ + 64183308, + 71609071 + ], + [ + 52449244, + 98919139 + ], + [ + 34644094, + 54595343 + ], + [ + 75331584, + 65676152 + ], + [ + 19894971, + 64703832 + ], + [ + 76518688, + 85602294 + ], + [ + 36748406, + 93443161 + ], + [ + 115484, + 17070422 + ], + [ + 32214072, + 26694894 + ], + [ + 64628412, + 34857901 + ], + [ + 24128525, + 61815192 + ], + [ + 55483096, + 20620280 + ], + [ + 68936178, + 66497832 + ], + [ + 26299825, + 41350371 + ], + [ + 19844427, + 77366257 + ], + [ + 43786128, + 21729211 + ], + [ + 127001, + 25330427 + ], + [ + 62480566, + 87922034 + ], + [ + 17115731, + 60295802 + ], + [ + 32639823, + 34988336 + ], + [ + 79180489, + 3515191 + ], + [ + 75051833, + 58055076 + ], + [ + 83439205, + 2616305 + ], + [ + 45897716, + 22619082 + ], + [ + 91179003, + 63060012 + ], + [ + 13323278, + 51607053 + ], + [ + 24096968, + 48317239 + ], + [ + 51714734, + 14222460 + ], + [ + 11814806, + 16076699 + ], + [ + 74991775, + 71237150 + ], + [ + 71314437, + 53004763 + ], + [ + 84843727, + 2939489 + ], + [ + 45797916, + 66209218 + ], + [ + 27573684, + 78965708 + ], + [ + 39517886, + 96402499 + ], + [ + 19533059, + 23861458 + ], + [ + 49542508, + 24425308 + ], + [ + 73823586, + 34664167 + ], + [ + 49826723, + 28363919 + ], + [ + 91943315, + 69724494 + ], + [ + 49336171, + 72520603 + ], + [ + 92540152, + 93305079 + ], + [ + 55979881, + 58982857 + ], + [ + 74522412, + 34723586 + ], + [ + 83725361, + 71322362 + ], + [ + 25724733, + 30960799 + ], + [ + 17592130, + 67968545 + ], + [ + 3130190, + 33948611 + ], + [ + 64546059, + 78766596 + ], + [ + 36742712, + 26039532 + ], + [ + 30325291, + 95767458 + ], + [ + 12647155, + 72291900 + ], + [ + 41648821, + 49930719 + ], + [ + 41231797, + 41040601 + ], + [ + 1445564, + 95031148 + ], + [ + 64566048, + 92019560 + ], + [ + 62952607, + 59278196 + ], + [ + 32374242, + 1024181 + ], + [ + 20133662, + 42363908 + ], + [ + 99846440, + 16416339 + ], + [ + 98932248, + 23175118 + ], + [ + 27331961, + 30123730 + ], + [ + 79001421, + 73495410 + ], + [ + 57240485, + 79168814 + ], + [ + 59245771, + 37613860 + ], + [ + 65319263, + 22846815 + ], + [ + 4937555, + 144810 + ], + [ + 25945715, + 45750136 + ], + [ + 92379863, + 98515227 + ], + [ + 92503950, + 18715273 + ], + [ + 40607989, + 94738949 + ], + [ + 49552033, + 21706490 + ], + [ + 3613595, + 91559401 + ], + [ + 27241280, + 24997582 + ], + [ + 76771464, + 88007026 + ], + [ + 14592475, + 87725602 + ], + [ + 76817626, + 34150517 + ], + [ + 11198420, + 63327792 + ], + [ + 17830137, + 87345048 + ], + [ + 43164161, + 42642609 + ], + [ + 425879, + 59217523 + ], + [ + 75788264, + 27569516 + ], + [ + 55556817, + 63933890 + ], + [ + 31239269, + 48482589 + ], + [ + 35347383, + 70112838 + ], + [ + 48521906, + 64953253 + ], + [ + 19908199, + 17998324 + ], + [ + 97511945, + 44952743 + ], + [ + 42859542, + 69647961 + ], + [ + 30277831, + 19714060 + ], + [ + 45366735, + 4097901 + ], + [ + 68130920, + 20312490 + ], + [ + 57932692, + 84946639 + ], + [ + 89284014, + 69815088 + ], + [ + 2628404, + 55973414 + ], + [ + 9222260, + 65418886 + ], + [ + 58077432, + 4631774 + ], + [ + 66311839, + 92508409 + ], + [ + 9548767, + 57121530 + ], + [ + 65523651, + 50419865 + ], + [ + 74250801, + 93678978 + ], + [ + 73269834, + 75215059 + ], + [ + 13970564, + 96548492 + ], + [ + 88597789, + 75519920 + ], + [ + 5159977, + 68343662 + ], + [ + 29402803, + 40155101 + ], + [ + 59639088, + 95818331 + ], + [ + 27017741, + 61775052 + ], + [ + 30313623, + 18256071 + ], + [ + 26378246, + 6642643 + ], + [ + 56202032, + 99024698 + ], + [ + 34114744, + 98617456 + ], + [ + 6714590, + 15522214 + ], + [ + 66173744, + 95866637 + ], + [ + 51479724, + 44472983 + ], + [ + 96061463, + 97703929 + ], + [ + 55653115, + 37626575 + ], + [ + 73410638, + 69828997 + ], + [ + 53481624, + 42805004 + ], + [ + 16506617, + 5019192 + ], + [ + 63511242, + 31159609 + ], + [ + 45413854, + 61796654 + ], + [ + 42331017, + 51119600 + ], + [ + 81256484, + 56868806 + ], + [ + 78493373, + 23284241 + ], + [ + 66006451, + 25158950 + ], + [ + 18852155, + 12306805 + ], + [ + 16297865, + 44359265 + ], + [ + 28687619, + 88208438 + ], + [ + 79697993, + 72010312 + ], + [ + 96442082, + 50805302 + ], + [ + 8757316, + 7273594 + ], + [ + 76915964, + 41912908 + ], + [ + 51944130, + 17786166 + ], + [ + 38520417, + 3657863 + ], + [ + 11192331, + 69988884 + ], + [ + 71955397, + 52226547 + ], + [ + 45489757, + 36056276 + ], + [ + 15419394, + 96710572 + ], + [ + 25743504, + 90556712 + ], + [ + 39057744, + 99716736 + ], + [ + 28819643, + 80899593 + ], + [ + 76643772, + 74666830 + ], + [ + 48663586, + 77819828 + ], + [ + 91846286, + 25843172 + ], + [ + 30240733, + 12400363 + ], + [ + 73100333, + 46553839 + ], + [ + 40272474, + 5728985 + ], + [ + 50083135, + 77802604 + ], + [ + 33741015, + 52457188 + ], + [ + 12671795, + 38800182 + ], + [ + 37699453, + 39244963 + ], + [ + 78833026, + 93269321 + ], + [ + 67999466, + 96447486 + ], + [ + 81470403, + 43723736 + ], + [ + 70258804, + 30030617 + ], + [ + 54898547, + 52873460 + ], + [ + 72277646, + 77273421 + ], + [ + 11096519, + 35441482 + ], + [ + 91412328, + 20637394 + ], + [ + 88289193, + 82720278 + ], + [ + 95203679, + 63590196 + ], + [ + 78035436, + 1679921 + ], + [ + 29316990, + 74025233 + ], + [ + 67625219, + 57717893 + ], + [ + 43834384, + 8206957 + ], + [ + 89638671, + 20631089 + ], + [ + 40476478, + 90976220 + ], + [ + 1810356, + 43631260 + ], + [ + 76440157, + 51542056 + ], + [ + 90680917, + 71045629 + ], + [ + 30730664, + 47351300 + ], + [ + 64030721, + 55517630 + ], + [ + 37534436, + 12092955 + ], + [ + 29543201, + 44509964 + ], + [ + 85468610, + 51363356 + ], + [ + 61512687, + 89538385 + ], + [ + 37878512, + 78833183 + ], + [ + 46716835, + 34079241 + ], + [ + 90991698, + 33627443 + ], + [ + 50109892, + 11480207 + ], + [ + 29475245, + 38201212 + ], + [ + 17933015, + 68310351 + ], + [ + 11572039, + 80437862 + ], + [ + 91536950, + 28495955 + ], + [ + 14732463, + 73851661 + ], + [ + 60808450, + 74349449 + ], + [ + 4527278, + 41349843 + ], + [ + 64853976, + 87754873 + ], + [ + 46419985, + 64152930 + ], + [ + 65955307, + 24332845 + ], + [ + 63677027, + 87845932 + ], + [ + 77369922, + 6402049 + ], + [ + 25293916, + 5008701 + ], + [ + 72475097, + 98836681 + ], + [ + 35184641, + 35859687 + ], + [ + 58555365, + 30995323 + ], + [ + 99893924, + 79360976 + ], + [ + 3723636, + 81381749 + ], + [ + 71817611, + 55830652 + ], + [ + 12233584, + 17794048 + ], + [ + 16728836, + 39723339 + ], + [ + 72700867, + 14998358 + ], + [ + 44157587, + 98781409 + ], + [ + 39323043, + 38834967 + ], + [ + 73350347, + 67141680 + ], + [ + 92304855, + 43164105 + ], + [ + 99038642, + 80295791 + ], + [ + 83096883, + 98370806 + ], + [ + 51925101, + 1119277 + ], + [ + 82695205, + 40508432 + ], + [ + 51539064, + 6861781 + ], + [ + 30570386, + 54490923 + ], + [ + 15247287, + 28999163 + ], + [ + 27927031, + 11006202 + ], + [ + 81061947, + 88568318 + ], + [ + 10081496, + 87278266 + ], + [ + 19955883, + 64731872 + ], + [ + 9469460, + 67021869 + ], + [ + 62228640, + 68771985 + ], + [ + 96263198, + 20422156 + ], + [ + 59600649, + 82127625 + ], + [ + 98695970, + 62963446 + ], + [ + 28807354, + 54639992 + ], + [ + 62383697, + 71242116 + ], + [ + 39501786, + 10794310 + ], + [ + 77660700, + 91500364 + ], + [ + 59590246, + 88616476 + ], + [ + 13222068, + 38384945 + ], + [ + 78741206, + 76457847 + ], + [ + 13379923, + 83960076 + ], + [ + 41557359, + 49655264 + ], + [ + 95705844, + 48762099 + ], + [ + 54620515, + 47525772 + ], + [ + 37130594, + 89676250 + ], + [ + 20718714, + 25788524 + ], + [ + 66924556, + 88692703 + ], + [ + 21219536, + 61407246 + ], + [ + 22237889, + 27129685 + ], + [ + 89889144, + 18201495 + ], + [ + 57566596, + 74094549 + ], + [ + 13177571, + 53960403 + ], + [ + 54877765, + 51886753 + ], + [ + 19531562, + 52096684 + ], + [ + 48327856, + 33436345 + ], + [ + 34827867, + 84783156 + ], + [ + 79837208, + 24612542 + ], + [ + 23848322, + 31488730 + ], + [ + 97696620, + 9407241 + ], + [ + 73809831, + 24283947 + ], + [ + 50336660, + 48630947 + ], + [ + 47730957, + 76832009 + ], + [ + 33679982, + 86964460 + ], + [ + 6136738, + 98168407 + ], + [ + 35572795, + 81728636 + ], + [ + 79919553, + 49252342 + ], + [ + 70481855, + 27308895 + ], + [ + 3859155, + 23798196 + ], + [ + 4413642, + 64403012 + ], + [ + 88464469, + 94540077 + ], + [ + 20076886, + 24387848 + ], + [ + 81189829, + 43936185 + ], + [ + 92413107, + 11833828 + ], + [ + 14735753, + 81841942 + ], + [ + 99218083, + 102031 + ], + [ + 9256118, + 66530765 + ], + [ + 72821590, + 84815170 + ], + [ + 91569310, + 9260348 + ], + [ + 70948418, + 17613006 + ], + [ + 74023441, + 38361009 + ], + [ + 87259551, + 65741692 + ], + [ + 89563065, + 46634579 + ], + [ + 36423253, + 17220802 + ], + [ + 23148701, + 33134493 + ], + [ + 87802098, + 61920279 + ], + [ + 24706323, + 81872311 + ], + [ + 31592778, + 93864319 + ], + [ + 96486397, + 2790559 + ], + [ + 28535826, + 99178395 + ], + [ + 88436408, + 67575705 + ], + [ + 3095341, + 18813010 + ], + [ + 14849260, + 2937624 + ], + [ + 24512424, + 78382485 + ], + [ + 64503759, + 41572693 + ], + [ + 71009897, + 89302124 + ], + [ + 3262355, + 17653486 + ], + [ + 97101938, + 41605600 + ], + [ + 77221730, + 24179729 + ], + [ + 90027159, + 45139823 + ], + [ + 14981924, + 66231105 + ], + [ + 5438657, + 71405397 + ], + [ + 16530632, + 5315929 + ], + [ + 15815146, + 69695141 + ], + [ + 7756788, + 73304416 + ], + [ + 84158571, + 55451286 + ], + [ + 64100975, + 62558861 + ], + [ + 60938623, + 86429084 + ], + [ + 29954477, + 47751539 + ], + [ + 77301418, + 65140801 + ], + [ + 92168762, + 74150639 + ], + [ + 24015997, + 47703543 + ], + [ + 56535623, + 10935039 + ], + [ + 58077529, + 4171617 + ], + [ + 79400372, + 52315112 + ], + [ + 95725351, + 7346242 + ], + [ + 89015505, + 59404794 + ], + [ + 96957950, + 45239721 + ], + [ + 16080945, + 47312189 + ], + [ + 75359275, + 87467993 + ], + [ + 63128360, + 11321553 + ], + [ + 55660278, + 63391958 + ], + [ + 80875523, + 42324796 + ], + [ + 4330960, + 46960397 + ], + [ + 68333252, + 83884 + ], + [ + 40446740, + 81581616 + ], + [ + 37857290, + 48474592 + ], + [ + 19001327, + 90298830 + ], + [ + 15096829, + 93642415 + ], + [ + 49872472, + 4204617 + ], + [ + 16837801, + 63332227 + ], + [ + 67334013, + 2128052 + ], + [ + 9817648, + 87599722 + ], + [ + 35122381, + 12575716 + ], + [ + 24197340, + 83856677 + ], + [ + 19897173, + 31195978 + ], + [ + 42712180, + 56039678 + ], + [ + 51850206, + 57084941 + ], + [ + 61374366, + 53127362 + ], + [ + 38195520, + 39267559 + ], + [ + 90617228, + 14856535 + ], + [ + 10001136, + 73401892 + ], + [ + 7398068, + 40367118 + ], + [ + 77345965, + 3044806 + ], + [ + 2568731, + 47383886 + ], + [ + 65463064, + 84180042 + ], + [ + 40275665, + 20110768 + ], + [ + 81743635, + 73616861 + ], + [ + 44667553, + 91214535 + ], + [ + 94658390, + 51605282 + ], + [ + 66044193, + 87696017 + ], + [ + 82910648, + 65901861 + ], + [ + 24939390, + 99843409 + ], + [ + 54229839, + 14718682 + ], + [ + 19812167, + 16007296 + ], + [ + 83918669, + 37833842 + ], + [ + 50547579, + 72501898 + ], + [ + 21696554, + 27202918 + ], + [ + 13533214, + 99702277 + ], + [ + 42583896, + 322754 + ], + [ + 48165854, + 51694140 + ], + [ + 8406654, + 43345200 + ], + [ + 58984892, + 4075663 + ], + [ + 60932911, + 60395052 + ], + [ + 31452177, + 32890362 + ], + [ + 59351020, + 99554782 + ], + [ + 85512189, + 1779384 + ], + [ + 39651599, + 8830537 + ], + [ + 45429596, + 69690276 + ], + [ + 46184282, + 43488287 + ], + [ + 46066069, + 1064906 + ], + [ + 75938595, + 6868839 + ], + [ + 58465735, + 15635534 + ], + [ + 10806348, + 48409478 + ], + [ + 49271455, + 48135541 + ], + [ + 28381747, + 28975692 + ], + [ + 46151004, + 63361584 + ], + [ + 96534516, + 51588067 + ], + [ + 69475603, + 49216737 + ], + [ + 29723356, + 15465115 + ], + [ + 40506439, + 3858876 + ], + [ + 35979835, + 80170906 + ], + [ + 85541585, + 94889890 + ], + [ + 11720610, + 93097618 + ], + [ + 26522983, + 59759584 + ], + [ + 34598247, + 51037061 + ], + [ + 57119933, + 49560328 + ], + [ + 24327794, + 42389291 + ], + [ + 32867571, + 10897470 + ], + [ + 46220586, + 36190909 + ], + [ + 46166797, + 92075495 + ], + [ + 45905133, + 65509400 + ], + [ + 32770742, + 48949259 + ], + [ + 60205713, + 11057436 + ], + [ + 61252655, + 69409826 + ], + [ + 64615039, + 42913835 + ], + [ + 52970589, + 19134338 + ], + [ + 63547065, + 130436 + ], + [ + 62001975, + 56212981 + ], + [ + 13018944, + 67055352 + ], + [ + 54235540, + 86863308 + ], + [ + 94104100, + 61593520 + ], + [ + 86389152, + 89237006 + ], + [ + 15633096, + 90260934 + ], + [ + 23034458, + 50772879 + ], + [ + 37025231, + 93688632 + ], + [ + 71636268, + 55766417 + ], + [ + 28354468, + 30903911 + ], + [ + 60303774, + 33086180 + ], + [ + 93282953, + 81893164 + ], + [ + 62340268, + 32456588 + ], + [ + 49689581, + 94011089 + ], + [ + 35383723, + 20611615 + ], + [ + 19224539, + 94171235 + ], + [ + 49875964, + 30203292 + ], + [ + 97178833, + 32879074 + ], + [ + 20597644, + 91165145 + ], + [ + 44965388, + 53563492 + ], + [ + 93901867, + 39353479 + ], + [ + 57297723, + 39077252 + ], + [ + 1305852, + 6844488 + ], + [ + 19304238, + 79987676 + ], + [ + 81691989, + 54924664 + ], + [ + 47737588, + 74530501 + ], + [ + 3306153, + 68012334 + ], + [ + 1301404, + 88206895 + ], + [ + 73110503, + 85931318 + ], + [ + 74237221, + 89400284 + ], + [ + 81371100, + 72189816 + ], + [ + 7654545, + 36426870 + ], + [ + 352689, + 84221616 + ], + [ + 15166079, + 37263044 + ], + [ + 2874039, + 5698454 + ], + [ + 49258097, + 42239951 + ], + [ + 94331662, + 94519293 + ], + [ + 67978112, + 82983515 + ], + [ + 74890538, + 58981501 + ], + [ + 10551691, + 76248878 + ], + [ + 78984946, + 82638820 + ], + [ + 68509633, + 22237124 + ], + [ + 20987377, + 77987970 + ], + [ + 19656914, + 81501518 + ], + [ + 32011085, + 82576364 + ], + [ + 55465606, + 98731164 + ], + [ + 61441553, + 79504637 + ], + [ + 11423253, + 58301902 + ], + [ + 80906028, + 48181438 + ], + [ + 70473363, + 50782222 + ], + [ + 19247311, + 64751823 + ], + [ + 96102270, + 28237889 + ], + [ + 99660582, + 10313374 + ], + [ + 67436051, + 113739 + ], + [ + 67870434, + 52157813 + ], + [ + 70061418, + 2644386 + ], + [ + 15056227, + 47907089 + ], + [ + 21675746, + 41370871 + ], + [ + 38146181, + 54681776 + ], + [ + 37869922, + 75841161 + ], + [ + 77784678, + 36562831 + ], + [ + 69366, + 89351346 + ], + [ + 71263323, + 30592898 + ], + [ + 70570549, + 2452788 + ], + [ + 76595960, + 63067285 + ], + [ + 96777470, + 583069 + ], + [ + 20347910, + 96445098 + ], + [ + 21618179, + 21579133 + ], + [ + 61873028, + 25563460 + ], + [ + 75189378, + 8278434 + ], + [ + 69697012, + 30626877 + ], + [ + 39999761, + 58821910 + ], + [ + 82186208, + 82641174 + ], + [ + 56362150, + 85430952 + ], + [ + 1731648, + 61144417 + ], + [ + 58081974, + 63373667 + ], + [ + 23741341, + 74138864 + ], + [ + 93064384, + 16403692 + ], + [ + 763122, + 38336339 + ], + [ + 71676265, + 31549077 + ], + [ + 38209554, + 46642026 + ], + [ + 6673112, + 25854737 + ], + [ + 32127243, + 33021085 + ], + [ + 69154570, + 28337794 + ], + [ + 26311809, + 95874787 + ], + [ + 44315347, + 56242207 + ], + [ + 80719134, + 93395015 + ], + [ + 5591386, + 62026870 + ], + [ + 31529502, + 27197401 + ], + [ + 53715468, + 72214645 + ], + [ + 72177082, + 52000482 + ], + [ + 92776663, + 33482521 + ], + [ + 37794495, + 41199332 + ], + [ + 90506044, + 32962095 + ], + [ + 72301506, + 22641060 + ], + [ + 91349162, + 58975258 + ], + [ + 45197713, + 70658051 + ], + [ + 21843180, + 94270883 + ], + [ + 46534130, + 48713626 + ], + [ + 97133932, + 37544159 + ], + [ + 57943771, + 90436866 + ], + [ + 91682710, + 31003418 + ], + [ + 1329535, + 44872354 + ], + [ + 77394005, + 43358159 + ], + [ + 4986446, + 74022420 + ], + [ + 71755269, + 13152502 + ], + [ + 5639708, + 18836199 + ], + [ + 79251523, + 80033972 + ], + [ + 21362760, + 51250770 + ], + [ + 49736588, + 8860657 + ], + [ + 45233392, + 89301481 + ], + [ + 81114537, + 26200407 + ], + [ + 19091276, + 61801245 + ], + [ + 62330556, + 7629392 + ], + [ + 79728391, + 94252059 + ], + [ + 58304257, + 19645429 + ], + [ + 81712218, + 20009420 + ], + [ + 43175503, + 75194224 + ], + [ + 19846097, + 89891262 + ], + [ + 86382783, + 64718308 + ], + [ + 65211463, + 85969567 + ], + [ + 17546953, + 54360556 + ], + [ + 89392927, + 93717328 + ], + [ + 43313693, + 10182283 + ], + [ + 97954575, + 92081015 + ], + [ + 53881831, + 1420133 + ], + [ + 62119074, + 94028719 + ], + [ + 37973589, + 90568362 + ], + [ + 87420654, + 16762481 + ], + [ + 76703990, + 70974239 + ], + [ + 8612536, + 74613957 + ], + [ + 78013572, + 25340674 + ], + [ + 2539491, + 70857993 + ], + [ + 43398649, + 14634739 + ], + [ + 90493977, + 49759818 + ], + [ + 72147289, + 11278629 + ], + [ + 59783678, + 37334881 + ], + [ + 53402778, + 3401160 + ], + [ + 35001370, + 15357222 + ], + [ + 79487582, + 25902682 + ], + [ + 23155708, + 66605506 + ], + [ + 74299024, + 20585359 + ], + [ + 18856483, + 63197471 + ], + [ + 98489782, + 76010710 + ], + [ + 27926288, + 99116527 + ], + [ + 89797769, + 49030826 + ], + [ + 67874316, + 79518036 + ], + [ + 94727468, + 27299368 + ], + [ + 98918365, + 14137857 + ], + [ + 46825785, + 72460270 + ], + [ + 78627901, + 99020922 + ], + [ + 55168216, + 58203156 + ], + [ + 59149781, + 29082862 + ], + [ + 5444518, + 12843976 + ], + [ + 26059681, + 51769997 + ], + [ + 86304663, + 28567996 + ], + [ + 8285079, + 60892506 + ], + [ + 33452496, + 57798031 + ], + [ + 17434357, + 39251710 + ], + [ + 73000462, + 7278572 + ], + [ + 2215268, + 31879961 + ], + [ + 22304742, + 83737167 + ], + [ + 4161700, + 17762387 + ], + [ + 33987420, + 72706993 + ], + [ + 32483254, + 48053523 + ], + [ + 27382149, + 31330269 + ], + [ + 9778795, + 42512890 + ], + [ + 35603094, + 75901389 + ], + [ + 72934716, + 31906102 + ], + [ + 39285036, + 46390490 + ], + [ + 51672264, + 27102100 + ], + [ + 77894591, + 50750408 + ], + [ + 35996151, + 12522955 + ], + [ + 72530805, + 15570408 + ], + [ + 78343375, + 91899457 + ], + [ + 20384247, + 29953338 + ], + [ + 3817080, + 21091347 + ], + [ + 65583989, + 46873754 + ], + [ + 50658252, + 8723788 + ], + [ + 2635807, + 74713065 + ], + [ + 73663972, + 34299807 + ], + [ + 32044696, + 7008145 + ], + [ + 96436827, + 87366012 + ], + [ + 55240005, + 1592979 + ], + [ + 32405458, + 42621987 + ], + [ + 67076585, + 32918817 + ], + [ + 61084969, + 38129365 + ], + [ + 34276837, + 97104300 + ], + [ + 65338969, + 42614462 + ], + [ + 47930280, + 30689278 + ], + [ + 28457372, + 8148670 + ], + [ + 98742921, + 44499930 + ], + [ + 55984423, + 14682961 + ], + [ + 93159833, + 84801773 + ], + [ + 97517157, + 62105648 + ], + [ + 36963270, + 79590914 + ], + [ + 15263273, + 41339242 + ], + [ + 39681168, + 13994497 + ], + [ + 80493924, + 75095087 + ], + [ + 66216267, + 97292765 + ], + [ + 73000236, + 92438693 + ], + [ + 26857745, + 13603600 + ], + [ + 28103325, + 58036019 + ], + [ + 30775692, + 96699447 + ], + [ + 14945148, + 39127975 + ], + [ + 7486637, + 37944612 + ], + [ + 37353049, + 19999628 + ], + [ + 73920641, + 33403275 + ], + [ + 40670378, + 9887100 + ], + [ + 55326204, + 60259337 + ], + [ + 94251086, + 84264455 + ], + [ + 77460204, + 97709131 + ], + [ + 75017298, + 86991254 + ], + [ + 59964104, + 96026413 + ], + [ + 18673958, + 30495639 + ], + [ + 89195649, + 45632867 + ], + [ + 4311786, + 75473950 + ], + [ + 37395046, + 71327055 + ], + [ + 59647817, + 36589590 + ], + [ + 82343624, + 89482705 + ], + [ + 76812224, + 74764501 + ], + [ + 83374237, + 67443808 + ], + [ + 52525360, + 80709730 + ], + [ + 34966741, + 97762330 + ], + [ + 37965083, + 47406955 + ], + [ + 30179775, + 69664911 + ], + [ + 74563446, + 60666687 + ], + [ + 41323095, + 14781358 + ], + [ + 81141645, + 887510 + ], + [ + 22068941, + 42070312 + ], + [ + 6534158, + 55983026 + ], + [ + 25939309, + 62443939 + ], + [ + 94565800, + 99582396 + ], + [ + 76646370, + 47504408 + ], + [ + 53245727, + 10365623 + ], + [ + 82499982, + 80669731 + ], + [ + 37083613, + 24223897 + ], + [ + 64146521, + 44490890 + ], + [ + 40931693, + 38994450 + ], + [ + 99994158, + 41806308 + ], + [ + 50425155, + 74661377 + ], + [ + 56952281, + 35303415 + ], + [ + 2772981, + 81884061 + ], + [ + 36850490, + 2370344 + ], + [ + 98851442, + 24949190 + ], + [ + 75857202, + 29750497 + ], + [ + 1707900, + 94879074 + ], + [ + 14356462, + 31909418 + ], + [ + 38139008, + 15966250 + ], + [ + 13403533, + 96729857 + ], + [ + 9982419, + 81979749 + ], + [ + 76970156, + 37295274 + ], + [ + 343143, + 89358024 + ], + [ + 22903623, + 19313777 + ], + [ + 3584738, + 7095508 + ], + [ + 46199730, + 4957578 + ], + [ + 95490298, + 39599631 + ], + [ + 62356035, + 13981044 + ], + [ + 38082112, + 2261217 + ], + [ + 25266794, + 47491830 + ], + [ + 15301123, + 27759427 + ], + [ + 45251019, + 38646503 + ], + [ + 68769515, + 17058633 + ], + [ + 73285319, + 94114599 + ], + [ + 46552894, + 33124590 + ], + [ + 12404552, + 34926045 + ], + [ + 60092698, + 91453417 + ], + [ + 79429456, + 46181306 + ], + [ + 99990645, + 99362214 + ], + [ + 98188879, + 35058488 + ], + [ + 62486324, + 75239948 + ], + [ + 33276286, + 21095668 + ], + [ + 65413946, + 53850737 + ], + [ + 14297322, + 89643126 + ], + [ + 60456968, + 41970381 + ], + [ + 6364299, + 74064453 + ], + [ + 95081338, + 99527745 + ], + [ + 35311834, + 1814464 + ], + [ + 71102517, + 37597014 + ], + [ + 50631870, + 22028930 + ], + [ + 47144448, + 55795577 + ], + [ + 93462429, + 11619517 + ], + [ + 59385668, + 48966813 + ], + [ + 60254030, + 62390617 + ], + [ + 21698984, + 9752699 + ], + [ + 52056988, + 67005926 + ], + [ + 6884692, + 28749945 + ], + [ + 53719068, + 18666717 + ], + [ + 84845440, + 552247 + ], + [ + 55329191, + 57519913 + ], + [ + 97994672, + 84288482 + ], + [ + 92975280, + 34104553 + ], + [ + 87598635, + 54169140 + ], + [ + 90158143, + 65581258 + ], + [ + 94362714, + 34821859 + ], + [ + 57674813, + 92298257 + ], + [ + 52528170, + 4229358 + ], + [ + 45053077, + 70082390 + ], + [ + 77057993, + 33066688 + ], + [ + 76134086, + 20957262 + ], + [ + 36733551, + 84168534 + ], + [ + 39000089, + 56859567 + ], + [ + 34553006, + 44467943 + ], + [ + 30408294, + 20685414 + ], + [ + 81466849, + 31368430 + ], + [ + 64073887, + 78602885 + ], + [ + 35575463, + 62979594 + ], + [ + 49011233, + 39894832 + ], + [ + 41977634, + 47362449 + ], + [ + 42252089, + 69728712 + ], + [ + 9268092, + 81188065 + ], + [ + 2064591, + 1588127 + ], + [ + 84960456, + 30134713 + ], + [ + 45951333, + 62266155 + ], + [ + 70688159, + 85490563 + ], + [ + 34607921, + 13945927 + ], + [ + 29704612, + 13235129 + ], + [ + 86539226, + 16891796 + ], + [ + 58221452, + 70780586 + ], + [ + 98624868, + 41537155 + ], + [ + 56560604, + 46845244 + ], + [ + 92448781, + 43928379 + ], + [ + 40316678, + 76966257 + ], + [ + 93709100, + 49430453 + ], + [ + 65408555, + 24938004 + ], + [ + 5412870, + 13280702 + ], + [ + 54040690, + 91533764 + ], + [ + 66953638, + 77292053 + ], + [ + 53067275, + 62317368 + ], + [ + 61698721, + 31720888 + ], + [ + 2682701, + 95486928 + ], + [ + 14643980, + 73095413 + ], + [ + 1597372, + 56048696 + ], + [ + 38523241, + 18350060 + ], + [ + 18705490, + 712296 + ], + [ + 6997961, + 93732214 + ], + [ + 79960503, + 44099445 + ], + [ + 66880160, + 75142692 + ], + [ + 5191809, + 87306781 + ], + [ + 27465086, + 79843259 + ], + [ + 58807039, + 5721307 + ], + [ + 34743443, + 3294310 + ], + [ + 10640288, + 72896148 + ], + [ + 86494777, + 60862510 + ], + [ + 65948138, + 46770255 + ], + [ + 10416478, + 44780903 + ], + [ + 55922697, + 73802004 + ], + [ + 8721606, + 96582579 + ], + [ + 97772392, + 45674139 + ], + [ + 26136539, + 20775967 + ], + [ + 33532140, + 62789220 + ], + [ + 17318981, + 4363215 + ], + [ + 30264580, + 9471743 + ], + [ + 38911367, + 21773089 + ], + [ + 13610245, + 93056861 + ], + [ + 10664582, + 69582309 + ], + [ + 50812076, + 41456736 + ], + [ + 75011731, + 53480453 + ], + [ + 45262982, + 87238184 + ], + [ + 5783718, + 8737659 + ], + [ + 72886418, + 43961243 + ], + [ + 5820210, + 75941551 + ], + [ + 41052054, + 92119248 + ], + [ + 4578135, + 74242149 + ], + [ + 22218411, + 13287251 + ], + [ + 42101558, + 48564667 + ], + [ + 73545189, + 70265913 + ], + [ + 26435032, + 17846261 + ], + [ + 79839348, + 24533121 + ], + [ + 36513517, + 83396649 + ], + [ + 84210007, + 5734616 + ], + [ + 12265563, + 3861724 + ], + [ + 41464989, + 90189007 + ], + [ + 23825452, + 46317625 + ], + [ + 14984355, + 1116885 + ], + [ + 39431541, + 93817869 + ], + [ + 83100853, + 82987292 + ], + [ + 7799868, + 2173433 + ], + [ + 5665829, + 37771243 + ], + [ + 42147320, + 29408781 + ], + [ + 60588742, + 93945052 + ], + [ + 79179336, + 26944023 + ], + [ + 74259820, + 80571937 + ], + [ + 42494425, + 52118925 + ], + [ + 31670117, + 77354949 + ], + [ + 80333016, + 61806615 + ], + [ + 81618890, + 11634420 + ], + [ + 47773055, + 82212059 + ], + [ + 45385848, + 95192786 + ], + [ + 9636801, + 55417011 + ], + [ + 79141702, + 47898930 + ], + [ + 62020925, + 16605695 + ], + [ + 35453309, + 81823023 + ], + [ + 71664817, + 52045049 + ], + [ + 2967392, + 94646699 + ], + [ + 33742251, + 98650199 + ], + [ + 3622030, + 51504276 + ], + [ + 18594056, + 81640488 + ], + [ + 58579686, + 37787653 + ], + [ + 84451384, + 49416746 + ], + [ + 59446065, + 76002390 + ], + [ + 77805147, + 84722109 + ], + [ + 57889815, + 28135165 + ], + [ + 35821909, + 73866540 + ], + [ + 55111544, + 51369375 + ], + [ + 33767351, + 60329797 + ], + [ + 30493880, + 96647782 + ], + [ + 58087544, + 79541743 + ], + [ + 4380839, + 96691048 + ], + [ + 20695633, + 32860498 + ], + [ + 21899296, + 69510272 + ], + [ + 63353197, + 7048476 + ], + [ + 92948647, + 17029796 + ], + [ + 44227612, + 13750923 + ], + [ + 64362670, + 38983559 + ], + [ + 68622747, + 18948767 + ], + [ + 5921993, + 98869862 + ], + [ + 1202749, + 23136647 + ], + [ + 61038953, + 4455762 + ], + [ + 73616797, + 95538093 + ], + [ + 7242434, + 50684909 + ], + [ + 26839592, + 24699305 + ], + [ + 87638478, + 83751656 + ], + [ + 12346, + 62318415 + ], + [ + 72046446, + 56157711 + ], + [ + 38966396, + 3159648 + ], + [ + 32302222, + 66023887 + ], + [ + 10091134, + 57534184 + ], + [ + 44762324, + 89674690 + ], + [ + 16984559, + 40703316 + ], + [ + 11635529, + 83067991 + ], + [ + 6256059, + 99329226 + ], + [ + 86553501, + 19803914 + ], + [ + 7920513, + 38628617 + ], + [ + 53594406, + 17249333 + ], + [ + 53017238, + 93378929 + ], + [ + 58690287, + 31834813 + ], + [ + 72243695, + 10815653 + ], + [ + 14351897, + 94235740 + ], + [ + 98493926, + 68403303 + ], + [ + 55840302, + 94947576 + ], + [ + 3710905, + 96574448 + ], + [ + 17143342, + 68213961 + ], + [ + 92218706, + 28968330 + ], + [ + 41562076, + 28853651 + ], + [ + 77047794, + 80284699 + ], + [ + 88860818, + 22635948 + ], + [ + 53744250, + 33762958 + ], + [ + 9815713, + 41107117 + ], + [ + 481474, + 59722693 + ], + [ + 80903183, + 17084109 + ], + [ + 89359978, + 48377884 + ], + [ + 26361229, + 74284535 + ], + [ + 19217798, + 46793508 + ], + [ + 87332138, + 80853183 + ], + [ + 65435519, + 59621535 + ], + [ + 96415421, + 24631598 + ], + [ + 93291281, + 87631424 + ], + [ + 85652563, + 74464742 + ], + [ + 77305459, + 72413159 + ], + [ + 59399631, + 30923116 + ], + [ + 62027509, + 87656856 + ], + [ + 30382122, + 34459073 + ], + [ + 67679923, + 92066510 + ], + [ + 2285374, + 30439843 + ], + [ + 74771840, + 86337499 + ], + [ + 85192700, + 41722975 + ], + [ + 37190479, + 24243822 + ], + [ + 75292260, + 24700981 + ], + [ + 38755606, + 89836524 + ], + [ + 70912947, + 69987747 + ], + [ + 38922737, + 74612494 + ], + [ + 31931311, + 32714206 + ], + [ + 30532219, + 71481127 + ], + [ + 76908995, + 60992087 + ], + [ + 75246021, + 66120944 + ], + [ + 75725541, + 9464691 + ], + [ + 28565688, + 24501443 + ], + [ + 31249894, + 20689191 + ], + [ + 15167405, + 25836128 + ], + [ + 79360317, + 82152614 + ], + [ + 30975800, + 18033709 + ], + [ + 52065135, + 79226841 + ], + [ + 43899367, + 69490621 + ], + [ + 81213079, + 43168644 + ], + [ + 54604565, + 31721381 + ], + [ + 20222654, + 81630508 + ], + [ + 11915380, + 41842902 + ], + [ + 95540073, + 92928022 + ], + [ + 18024456, + 52816392 + ], + [ + 40982142, + 5377802 + ], + [ + 12870354, + 30770380 + ], + [ + 21346508, + 3714786 + ], + [ + 18345721, + 65603324 + ], + [ + 50003621, + 35032127 + ], + [ + 9188961, + 17126883 + ], + [ + 49607327, + 4316194 + ], + [ + 59897776, + 84827563 + ], + [ + 52906638, + 67283805 + ], + [ + 52306512, + 14876137 + ], + [ + 51123099, + 81836759 + ], + [ + 41213069, + 56298534 + ], + [ + 80963918, + 30864162 + ], + [ + 91585057, + 27265260 + ], + [ + 73155433, + 19565949 + ], + [ + 38827806, + 48339879 + ], + [ + 19310047, + 75201806 + ], + [ + 53567741, + 28800506 + ], + [ + 12277110, + 23231444 + ], + [ + 7315941, + 19160431 + ], + [ + 76197932, + 83654687 + ], + [ + 41153075, + 47488300 + ], + [ + 81227565, + 584106 + ], + [ + 8206833, + 77465243 + ], + [ + 87464692, + 595837 + ], + [ + 88026167, + 7800409 + ], + [ + 78895755, + 70399966 + ], + [ + 31338125, + 85815036 + ], + [ + 36975615, + 90747143 + ], + [ + 11575419, + 30729957 + ], + [ + 33545646, + 11436353 + ], + [ + 92752007, + 52067827 + ], + [ + 46551428, + 21567760 + ], + [ + 5363453, + 73816293 + ], + [ + 73222638, + 28313554 + ], + [ + 77826846, + 40847346 + ], + [ + 72406048, + 51064028 + ], + [ + 58500813, + 42404005 + ], + [ + 73486263, + 93715721 + ], + [ + 92897228, + 80558454 + ], + [ + 82356330, + 93331072 + ], + [ + 14126512, + 59033226 + ], + [ + 97301454, + 40078456 + ], + [ + 56270606, + 61199971 + ], + [ + 41131368, + 83502579 + ], + [ + 86733273, + 53131975 + ], + [ + 99679117, + 27858576 + ], + [ + 33166345, + 48672299 + ], + [ + 45035883, + 59628955 + ], + [ + 41166220, + 4203357 + ], + [ + 86825121, + 54614941 + ], + [ + 95351343, + 52251417 + ], + [ + 40724214, + 25152056 + ], + [ + 81543415, + 56784178 + ], + [ + 25998447, + 74657049 + ], + [ + 74604194, + 7874945 + ], + [ + 71946240, + 88935689 + ], + [ + 95484358, + 50565945 + ], + [ + 76283006, + 72814953 + ], + [ + 44943146, + 26963984 + ], + [ + 72068546, + 86277143 + ], + [ + 31675301, + 44984706 + ], + [ + 99192797, + 90747741 + ], + [ + 85676564, + 61165630 + ], + [ + 30108452, + 14603468 + ], + [ + 91579440, + 23176241 + ], + [ + 45217189, + 6835568 + ], + [ + 49479464, + 44415307 + ], + [ + 67271917, + 11183036 + ], + [ + 19392434, + 66751180 + ], + [ + 41429063, + 89827648 + ], + [ + 28464689, + 28892242 + ], + [ + 84821212, + 70185684 + ], + [ + 16746596, + 28113178 + ], + [ + 71603729, + 30550114 + ], + [ + 20573493, + 46127826 + ], + [ + 56577781, + 48117265 + ], + [ + 86609507, + 58394098 + ], + [ + 73227192, + 53219576 + ], + [ + 63100000, + 40759384 + ], + [ + 35040688, + 90600997 + ], + [ + 93770787, + 73733890 + ], + [ + 94452248, + 13074416 + ], + [ + 86699323, + 19243814 + ], + [ + 26844143, + 20941001 + ], + [ + 91008562, + 52236038 + ], + [ + 3766489, + 4474176 + ], + [ + 82042794, + 37135674 + ], + [ + 97619732, + 42734393 + ], + [ + 95551277, + 31959880 + ], + [ + 93909046, + 94211423 + ], + [ + 56113597, + 20178887 + ], + [ + 10354076, + 95352742 + ], + [ + 16097635, + 74409169 + ], + [ + 58286580, + 90705734 + ], + [ + 10614971, + 2232511 + ], + [ + 44501046, + 78001173 + ], + [ + 70384749, + 70950103 + ], + [ + 88579654, + 23640653 + ], + [ + 77865833, + 48610034 + ], + [ + 25234645, + 68764737 + ], + [ + 75856828, + 75657044 + ], + [ + 92046903, + 9753370 + ], + [ + 48417587, + 34474584 + ], + [ + 97476007, + 32137011 + ], + [ + 61116497, + 12086933 + ], + [ + 76915605, + 22744616 + ], + [ + 58123435, + 67252572 + ], + [ + 82598337, + 69337346 + ], + [ + 94936727, + 64123473 + ], + [ + 74376082, + 42411899 + ], + [ + 88234062, + 53777638 + ], + [ + 47261085, + 53911634 + ], + [ + 39845398, + 79034113 + ], + [ + 87114532, + 94640951 + ], + [ + 2543382, + 49169683 + ], + [ + 80228542, + 33440506 + ], + [ + 73452678, + 81048777 + ], + [ + 53336500, + 99051110 + ], + [ + 99011136, + 48703226 + ], + [ + 15600185, + 79730914 + ], + [ + 28441653, + 85143409 + ], + [ + 85844197, + 20725991 + ], + [ + 17190927, + 45648366 + ], + [ + 33196026, + 60775297 + ], + [ + 11698104, + 82670513 + ], + [ + 13600944, + 16306237 + ], + [ + 60676355, + 43407095 + ], + [ + 68664362, + 99513403 + ], + [ + 40670329, + 64823647 + ], + [ + 99135160, + 10397901 + ], + [ + 1652920, + 5063801 + ], + [ + 27596954, + 23574492 + ], + [ + 97931664, + 36411904 + ], + [ + 38828537, + 36930473 + ], + [ + 130728, + 32819896 + ], + [ + 53334877, + 23724327 + ], + [ + 53388025, + 82674233 + ], + [ + 8895510, + 68666595 + ], + [ + 76275337, + 22633979 + ], + [ + 84690905, + 92461980 + ], + [ + 76822936, + 22607395 + ], + [ + 90535661, + 58800603 + ], + [ + 85238887, + 25703576 + ], + [ + 65871144, + 65786287 + ], + [ + 83996505, + 31855545 + ], + [ + 72771049, + 83748875 + ], + [ + 37100945, + 49567199 + ], + [ + 68647093, + 64720959 + ], + [ + 84263063, + 7888566 + ], + [ + 33239606, + 63346157 + ], + [ + 11383333, + 8212510 + ], + [ + 2560152, + 86572786 + ], + [ + 39716385, + 42423709 + ], + [ + 67716138, + 96851779 + ], + [ + 12410194, + 22800068 + ], + [ + 36999502, + 78993013 + ], + [ + 18803905, + 78219723 + ], + [ + 53397044, + 31172565 + ], + [ + 47725063, + 66178999 + ], + [ + 99605423, + 12752033 + ], + [ + 74800753, + 92322202 + ], + [ + 69061791, + 92918927 + ], + [ + 14337637, + 59767030 + ], + [ + 44859055, + 14778624 + ], + [ + 53728805, + 78722829 + ], + [ + 59954542, + 75143678 + ], + [ + 18717947, + 35885168 + ], + [ + 23100748, + 65414832 + ], + [ + 35915963, + 31757911 + ], + [ + 30498973, + 78584450 + ], + [ + 16085128, + 98952150 + ], + [ + 8640496, + 29318623 + ], + [ + 70209154, + 72303661 + ], + [ + 74307876, + 93863036 + ], + [ + 96049617, + 98032462 + ], + [ + 60127008, + 39112785 + ], + [ + 51553639, + 8701734 + ], + [ + 34112725, + 24978968 + ], + [ + 40798826, + 35050493 + ], + [ + 73819003, + 65050046 + ], + [ + 49291045, + 10473408 + ], + [ + 30875912, + 40440056 + ], + [ + 78623974, + 13553941 + ], + [ + 84807156, + 55142234 + ], + [ + 75707272, + 31835875 + ], + [ + 22271065, + 99288888 + ], + [ + 31163027, + 26250101 + ], + [ + 59580604, + 37255755 + ], + [ + 13116106, + 75280889 + ], + [ + 41706081, + 94236836 + ], + [ + 67964353, + 69884682 + ], + [ + 83322543, + 68176837 + ], + [ + 81707527, + 51864292 + ], + [ + 56474368, + 98377693 + ], + [ + 44624236, + 37265998 + ], + [ + 31704582, + 52386028 + ], + [ + 34865230, + 21579424 + ], + [ + 36998200, + 37197883 + ], + [ + 98551336, + 74853836 + ], + [ + 76943729, + 5047208 + ], + [ + 89684111, + 71899558 + ], + [ + 37936487, + 54776593 + ], + [ + 7457916, + 61336718 + ], + [ + 47940751, + 93119594 + ], + [ + 36329890, + 55277714 + ], + [ + 36179886, + 43344113 + ], + [ + 57771419, + 98598233 + ], + [ + 42757060, + 24166791 + ], + [ + 68540757, + 84251426 + ], + [ + 66584466, + 46139693 + ], + [ + 42174534, + 33716381 + ], + [ + 60458504, + 14678214 + ], + [ + 99283527, + 50242373 + ], + [ + 95433547, + 91254202 + ], + [ + 9960569, + 1983696 + ], + [ + 78827735, + 84898979 + ], + [ + 9622332, + 5785786 + ], + [ + 7332155, + 34145675 + ], + [ + 98098132, + 60856731 + ], + [ + 18710017, + 25779107 + ], + [ + 60436600, + 48530861 + ], + [ + 46279543, + 26297209 + ], + [ + 80339946, + 49678214 + ], + [ + 25369140, + 32268928 + ], + [ + 48381667, + 47955579 + ], + [ + 95526850, + 50247437 + ], + [ + 65926914, + 64462408 + ], + [ + 17951878, + 11183890 + ], + [ + 9498470, + 79893715 + ], + [ + 31477310, + 71892156 + ], + [ + 67731231, + 35733756 + ], + [ + 78376593, + 14316856 + ], + [ + 70753295, + 12314656 + ], + [ + 53098091, + 36270961 + ], + [ + 7596164, + 36978024 + ], + [ + 88563851, + 92965586 + ], + [ + 49562195, + 13030804 + ], + [ + 81579504, + 587803 + ], + [ + 39245981, + 40742712 + ], + [ + 26653963, + 87050984 + ], + [ + 32298387, + 54625416 + ], + [ + 90758309, + 31291352 + ], + [ + 93029819, + 13327852 + ], + [ + 4164853, + 90804571 + ], + [ + 6025644, + 42147285 + ], + [ + 51447383, + 80719770 + ], + [ + 52541432, + 93075057 + ], + [ + 38312053, + 94463688 + ], + [ + 19260828, + 98039867 + ], + [ + 70800285, + 30021763 + ], + [ + 56179677, + 17050678 + ], + [ + 54860425, + 62402865 + ], + [ + 81332662, + 42828139 + ], + [ + 92397293, + 60961517 + ], + [ + 7378193, + 52260928 + ], + [ + 37612474, + 54906534 + ], + [ + 4099097, + 8798853 + ], + [ + 22584319, + 30656160 + ], + [ + 61277311, + 76468118 + ], + [ + 50925331, + 76951809 + ], + [ + 12235596, + 6934274 + ], + [ + 86987348, + 15531953 + ], + [ + 79493455, + 85345825 + ], + [ + 6260337, + 79025075 + ], + [ + 46394372, + 85379011 + ], + [ + 75987943, + 17069512 + ], + [ + 26272983, + 19458498 + ], + [ + 98432065, + 25631761 + ], + [ + 45279929, + 99255648 + ], + [ + 85378072, + 11482927 + ], + [ + 29553415, + 58437362 + ], + [ + 69128341, + 95965688 + ], + [ + 57910425, + 27564774 + ], + [ + 18286759, + 53819483 + ], + [ + 76855171, + 62307496 + ], + [ + 36532759, + 72966334 + ], + [ + 47490545, + 44582155 + ], + [ + 90920166, + 5775822 + ], + [ + 23813781, + 90588355 + ], + [ + 99080351, + 52747700 + ], + [ + 72052910, + 87192784 + ], + [ + 35025213, + 25904371 + ], + [ + 12151601, + 84994197 + ], + [ + 17066683, + 46728885 + ], + [ + 65747507, + 76669229 + ], + [ + 38956905, + 10055159 + ], + [ + 64255242, + 40483982 + ], + [ + 70273426, + 59303551 + ], + [ + 24909511, + 97210893 + ], + [ + 19753200, + 82616554 + ], + [ + 84670248, + 28281776 + ], + [ + 91521103, + 51387258 + ], + [ + 62246517, + 17940514 + ], + [ + 35417607, + 25017075 + ], + [ + 23599362, + 1005807 + ], + [ + 28279778, + 75962181 + ], + [ + 16341081, + 42737994 + ], + [ + 93137672, + 19979100 + ], + [ + 46882623, + 79360562 + ], + [ + 82173716, + 95866317 + ], + [ + 73722207, + 2394252 + ], + [ + 20385692, + 44757992 + ], + [ + 4127868, + 58399815 + ], + [ + 81764857, + 53542891 + ], + [ + 85409216, + 34661079 + ], + [ + 57417778, + 29081690 + ], + [ + 79392520, + 26541220 + ], + [ + 72035290, + 12084850 + ], + [ + 41571480, + 42553259 + ], + [ + 66340085, + 81138543 + ], + [ + 23824674, + 78479756 + ], + [ + 47695935, + 46378934 + ], + [ + 85274367, + 95981872 + ], + [ + 51681214, + 55584106 + ], + [ + 12814116, + 97319937 + ], + [ + 46065656, + 92416224 + ], + [ + 37834810, + 69068634 + ], + [ + 1690124, + 26590992 + ], + [ + 54730942, + 89757323 + ], + [ + 99553422, + 87712016 + ], + [ + 45452522, + 5306997 + ], + [ + 91692686, + 5203334 + ], + [ + 85804648, + 40259703 + ], + [ + 73387856, + 74646423 + ], + [ + 33044595, + 26766322 + ], + [ + 13802680, + 2524424 + ], + [ + 64215365, + 88937359 + ], + [ + 36210755, + 96160942 + ], + [ + 34633546, + 46215439 + ], + [ + 40635298, + 5345448 + ], + [ + 70579248, + 71645917 + ], + [ + 708714, + 17572815 + ], + [ + 67815470, + 53431157 + ], + [ + 59809183, + 37495031 + ], + [ + 34616393, + 63312123 + ], + [ + 26846857, + 20609756 + ], + [ + 7199360, + 32536106 + ], + [ + 28600318, + 77242271 + ], + [ + 38202178, + 35272035 + ], + [ + 54869649, + 35424489 + ], + [ + 87436794, + 2518352 + ], + [ + 12554883, + 76003825 + ], + [ + 51450227, + 70522928 + ], + [ + 48567130, + 10399781 + ], + [ + 67020250, + 9132565 + ], + [ + 18106046, + 1509399 + ], + [ + 4449382, + 40818506 + ], + [ + 84942494, + 20118944 + ], + [ + 48546578, + 46360536 + ], + [ + 75890889, + 1888870 + ], + [ + 8848920, + 42696131 + ], + [ + 34827221, + 11153439 + ], + [ + 4479345, + 2294163 + ], + [ + 58931746, + 21813087 + ], + [ + 96368383, + 69635015 + ], + [ + 3974339, + 85930408 + ], + [ + 845480, + 60162164 + ], + [ + 33147518, + 23709023 + ], + [ + 1297943, + 38978778 + ], + [ + 60296235, + 51615962 + ], + [ + 19414481, + 2285382 + ], + [ + 35309180, + 67887539 + ], + [ + 91185716, + 63294145 + ], + [ + 48158143, + 69985336 + ], + [ + 94289657, + 75556501 + ], + [ + 17307520, + 63286950 + ], + [ + 33053886, + 43862109 + ], + [ + 93054413, + 88919684 + ], + [ + 2288331, + 66989364 + ], + [ + 21970707, + 80504093 + ], + [ + 43999213, + 51139789 + ], + [ + 54825024, + 18742680 + ], + [ + 63071175, + 89835585 + ], + [ + 6787948, + 48361718 + ], + [ + 67799157, + 50472403 + ], + [ + 5542696, + 13836832 + ], + [ + 65891696, + 661252 + ], + [ + 99244706, + 89372244 + ], + [ + 30390063, + 38799069 + ], + [ + 28046263, + 12548429 + ], + [ + 63638266, + 23826417 + ], + [ + 90553800, + 36757687 + ], + [ + 77897374, + 14585902 + ], + [ + 60167442, + 49120916 + ], + [ + 92282998, + 81144308 + ], + [ + 2937989, + 4928622 + ], + [ + 82839022, + 71079793 + ], + [ + 93371977, + 99312565 + ], + [ + 27499987, + 56916014 + ], + [ + 45567561, + 97358622 + ], + [ + 19710024, + 19687648 + ], + [ + 72086178, + 65217346 + ], + [ + 94607733, + 12514312 + ], + [ + 92347613, + 8101693 + ], + [ + 6449533, + 32320822 + ], + [ + 39425034, + 35272906 + ], + [ + 1373258, + 43571738 + ], + [ + 26697787, + 95513504 + ], + [ + 88344702, + 30816555 + ], + [ + 52482085, + 54057230 + ], + [ + 34295336, + 48145898 + ], + [ + 59104667, + 7949605 + ], + [ + 12617387, + 61373538 + ], + [ + 25379783, + 35803872 + ], + [ + 46415839, + 9076392 + ], + [ + 37031947, + 22688020 + ], + [ + 14669973, + 86812984 + ], + [ + 22937953, + 49189716 + ], + [ + 30301929, + 16321575 + ], + [ + 55430514, + 8378188 + ], + [ + 26494029, + 92252029 + ], + [ + 27896224, + 48647785 + ], + [ + 47521484, + 71258186 + ], + [ + 7691993, + 5890382 + ], + [ + 88759279, + 12115653 + ], + [ + 72839107, + 90108561 + ], + [ + 59010105, + 67682273 + ], + [ + 74289374, + 92539658 + ], + [ + 99967812, + 87382119 + ], + [ + 62112898, + 11822288 + ], + [ + 74853125, + 99105664 + ], + [ + 39688158, + 51930140 + ], + [ + 62192220, + 7971627 + ], + [ + 95641813, + 39977127 + ], + [ + 85285156, + 45534952 + ], + [ + 96122804, + 59637740 + ], + [ + 16985338, + 99368320 + ], + [ + 45833877, + 65783031 + ], + [ + 66155201, + 43723498 + ], + [ + 78958519, + 63983213 + ], + [ + 41440354, + 95292762 + ], + [ + 46611739, + 11632212 + ], + [ + 21321869, + 13922230 + ], + [ + 70394964, + 43590951 + ], + [ + 97223148, + 80711350 + ], + [ + 88536505, + 83951508 + ], + [ + 92128485, + 32465080 + ], + [ + 34088910, + 93533875 + ], + [ + 40739997, + 63749886 + ], + [ + 53928901, + 30147447 + ], + [ + 58091870, + 2929760 + ], + [ + 97127933, + 35405239 + ], + [ + 49730386, + 77742943 + ], + [ + 88691459, + 9215846 + ], + [ + 54160456, + 28181760 + ], + [ + 4941692, + 94624446 + ], + [ + 87868977, + 51521938 + ], + [ + 19501099, + 5454039 + ], + [ + 84071573, + 4043177 + ], + [ + 43696774, + 2055727 + ], + [ + 96938275, + 72781633 + ], + [ + 78651062, + 13114635 + ], + [ + 65016806, + 82986969 + ], + [ + 80454904, + 12738653 + ], + [ + 5187597, + 20044350 + ], + [ + 33211447, + 19235924 + ], + [ + 25994755, + 59665264 + ], + [ + 15495642, + 32544307 + ], + [ + 77488971, + 66474054 + ], + [ + 80949461, + 16239320 + ], + [ + 34975359, + 86268209 + ], + [ + 9749891, + 2620485 + ], + [ + 71081870, + 96811423 + ], + [ + 63909926, + 11400884 + ], + [ + 27005795, + 62543589 + ], + [ + 16635425, + 94142053 + ], + [ + 79819881, + 17268521 + ], + [ + 52652872, + 31157192 + ], + [ + 96513662, + 18148920 + ], + [ + 87518011, + 17025738 + ], + [ + 68911658, + 24615238 + ], + [ + 76574509, + 89546740 + ], + [ + 62171732, + 96221999 + ], + [ + 79497409, + 98951089 + ], + [ + 57497497, + 52192116 + ], + [ + 37367750, + 68455942 + ], + [ + 49397393, + 89055957 + ], + [ + 1075446, + 32290194 + ], + [ + 80439367, + 66644672 + ], + [ + 70493581, + 93635452 + ], + [ + 34865333, + 33718407 + ], + [ + 38398898, + 85078985 + ], + [ + 22202878, + 60149372 + ], + [ + 3114745, + 74152674 + ], + [ + 78190644, + 26680925 + ], + [ + 9085098, + 1253800 + ], + [ + 20419702, + 34779858 + ], + [ + 9865632, + 10069957 + ], + [ + 81375251, + 87488051 + ], + [ + 86215087, + 3707435 + ], + [ + 82266484, + 50129771 + ], + [ + 18297694, + 82919959 + ], + [ + 99301936, + 73545409 + ], + [ + 85594317, + 33962165 + ], + [ + 83727698, + 84608584 + ], + [ + 73118904, + 1134552 + ], + [ + 12575904, + 39727199 + ], + [ + 37372252, + 5550125 + ], + [ + 67972400, + 4501997 + ], + [ + 86365634, + 81791536 + ], + [ + 75720870, + 84561259 + ], + [ + 67935256, + 90084963 + ], + [ + 63400595, + 74079572 + ], + [ + 77991314, + 20178147 + ], + [ + 77625077, + 9041943 + ], + [ + 52883315, + 10621401 + ], + [ + 29246024, + 26851105 + ], + [ + 25428529, + 81938009 + ], + [ + 92888837, + 66427910 + ], + [ + 70824532, + 40949633 + ], + [ + 14213674, + 37525832 + ], + [ + 52827340, + 86735023 + ], + [ + 56979057, + 62581248 + ], + [ + 25008335, + 46979139 + ], + [ + 94501841, + 37550038 + ], + [ + 29855962, + 3236993 + ], + [ + 10249360, + 53961829 + ], + [ + 72517231, + 36109853 + ], + [ + 30781947, + 28585947 + ], + [ + 75103566, + 69562292 + ], + [ + 38009833, + 69475337 + ], + [ + 49745276, + 19354950 + ], + [ + 26653811, + 58331004 + ], + [ + 54523477, + 45673895 + ], + [ + 77781033, + 70461965 + ], + [ + 73179158, + 10089562 + ], + [ + 48526504, + 6055679 + ], + [ + 60488030, + 63560812 + ], + [ + 73407663, + 26337259 + ], + [ + 90021296, + 31128652 + ], + [ + 59597630, + 43795691 + ], + [ + 91015537, + 69849567 + ], + [ + 33720382, + 41879342 + ], + [ + 78935171, + 64641229 + ], + [ + 45427305, + 17342793 + ], + [ + 54557951, + 92104481 + ], + [ + 90371043, + 7753113 + ], + [ + 41197892, + 2279417 + ], + [ + 72507168, + 81216848 + ], + [ + 26171634, + 3301939 + ], + [ + 23742553, + 46878393 + ], + [ + 79119795, + 28825597 + ], + [ + 98067432, + 9166439 + ], + [ + 96359118, + 56299236 + ], + [ + 94164044, + 57101560 + ], + [ + 19266148, + 91351794 + ], + [ + 39441503, + 34219469 + ], + [ + 40938371, + 61333885 + ], + [ + 99257051, + 19477231 + ], + [ + 98376506, + 73792798 + ], + [ + 57092033, + 77537524 + ], + [ + 1409833, + 61443856 + ], + [ + 3292342, + 71106972 + ], + [ + 39870415, + 82404035 + ], + [ + 93429695, + 17870622 + ], + [ + 70283538, + 17343994 + ], + [ + 76333386, + 38495055 + ], + [ + 32981513, + 49182387 + ], + [ + 33570700, + 78024352 + ], + [ + 61477932, + 7693439 + ], + [ + 68333862, + 20657802 + ], + [ + 52826154, + 21505590 + ], + [ + 71937881, + 94629136 + ], + [ + 31276979, + 3759806 + ], + [ + 26967558, + 33004018 + ], + [ + 53001786, + 31069013 + ], + [ + 95197522, + 16821649 + ], + [ + 70242541, + 18973872 + ], + [ + 55332232, + 27526193 + ], + [ + 30010696, + 71044160 + ], + [ + 55549301, + 83358643 + ], + [ + 19808287, + 76295470 + ], + [ + 86005603, + 64144372 + ], + [ + 49663900, + 92496706 + ], + [ + 11920546, + 59859281 + ], + [ + 10344168, + 94165659 + ], + [ + 28403052, + 29538504 + ], + [ + 7149033, + 17856409 + ], + [ + 98532378, + 3686720 + ], + [ + 76299519, + 71147654 + ], + [ + 2179711, + 19470798 + ], + [ + 85881339, + 20609801 + ], + [ + 65060945, + 63336348 + ], + [ + 67288946, + 11199589 + ], + [ + 42009169, + 90424405 + ], + [ + 3464626, + 48694102 + ], + [ + 47187995, + 95039447 + ], + [ + 61838639, + 22877940 + ], + [ + 2764314, + 87802114 + ], + [ + 32356853, + 95126703 + ], + [ + 95995922, + 47379527 + ], + [ + 50000241, + 12818832 + ], + [ + 92178114, + 55187596 + ], + [ + 61962786, + 17730187 + ], + [ + 21235216, + 30868861 + ], + [ + 98596224, + 21989037 + ], + [ + 95617063, + 37675333 + ], + [ + 56542850, + 56142987 + ], + [ + 30382853, + 28772464 + ], + [ + 16975533, + 83982513 + ], + [ + 95620692, + 94482060 + ], + [ + 65386948, + 79817365 + ], + [ + 98314554, + 94955103 + ], + [ + 24822566, + 46372179 + ], + [ + 66330207, + 98296014 + ], + [ + 53368399, + 14808042 + ], + [ + 65371638, + 66188375 + ], + [ + 10335414, + 7274511 + ], + [ + 35805537, + 51293131 + ], + [ + 98146170, + 21127084 + ], + [ + 59635300, + 60053024 + ], + [ + 2118228, + 26112338 + ], + [ + 25560723, + 28980830 + ], + [ + 31363094, + 12323723 + ], + [ + 27976028, + 96892505 + ], + [ + 36432485, + 22329505 + ], + [ + 87311110, + 12235324 + ], + [ + 90498867, + 20319972 + ], + [ + 3467788, + 7568745 + ], + [ + 62726970, + 6169145 + ], + [ + 55503680, + 87414360 + ], + [ + 40198503, + 48461787 + ], + [ + 87732327, + 38043225 + ], + [ + 27272093, + 57917611 + ], + [ + 90949347, + 7113548 + ], + [ + 75794182, + 46996272 + ], + [ + 77070892, + 26205961 + ], + [ + 68301411, + 45435820 + ], + [ + 4977963, + 95846760 + ], + [ + 15608693, + 25536637 + ], + [ + 57652293, + 20905544 + ], + [ + 83121747, + 9917124 + ], + [ + 50053639, + 79582625 + ], + [ + 88966268, + 89711306 + ], + [ + 87333022, + 89879885 + ], + [ + 17392924, + 47591454 + ], + [ + 29232393, + 38231070 + ], + [ + 31336097, + 87875607 + ], + [ + 73238669, + 71669360 + ], + [ + 93595192, + 66008069 + ], + [ + 67913313, + 73405750 + ], + [ + 72802698, + 49167376 + ], + [ + 70782076, + 26317242 + ], + [ + 11235225, + 92330278 + ], + [ + 92695226, + 25571791 + ], + [ + 3204510, + 87440099 + ], + [ + 79635663, + 28668810 + ], + [ + 26682293, + 62577698 + ], + [ + 63323261, + 54677075 + ], + [ + 1715620, + 57423623 + ], + [ + 96752531, + 67397864 + ], + [ + 84066044, + 1623479 + ], + [ + 35851211, + 63270042 + ], + [ + 34315498, + 22975462 + ], + [ + 29315062, + 41123006 + ], + [ + 78193511, + 39413792 + ], + [ + 72309342, + 10677013 + ], + [ + 48828052, + 11700212 + ], + [ + 4104666, + 50123967 + ], + [ + 46487683, + 60310000 + ], + [ + 87709297, + 91831900 + ], + [ + 19391385, + 85794645 + ], + [ + 20178884, + 42168517 + ], + [ + 13134431, + 78295556 + ], + [ + 38510768, + 83348750 + ], + [ + 12423969, + 40554556 + ], + [ + 30956372, + 21395260 + ], + [ + 58484719, + 33924213 + ], + [ + 93286827, + 50923357 + ], + [ + 41265875, + 1769938 + ], + [ + 22115985, + 20983162 + ], + [ + 69627914, + 36515050 + ], + [ + 87631552, + 96763770 + ], + [ + 74936387, + 73877110 + ], + [ + 48092078, + 16287568 + ], + [ + 43412812, + 47599649 + ], + [ + 81800660, + 32641394 + ], + [ + 84616216, + 27302694 + ], + [ + 31447052, + 97368595 + ], + [ + 31462261, + 32268056 + ], + [ + 84854594, + 18372502 + ], + [ + 78824997, + 66467931 + ], + [ + 51470684, + 71289223 + ], + [ + 9555859, + 20347965 + ], + [ + 11310051, + 71716488 + ], + [ + 67987001, + 10179332 + ], + [ + 50936870, + 79272224 + ], + [ + 65291301, + 9983926 + ], + [ + 83490923, + 73304534 + ], + [ + 48341258, + 56735012 + ], + [ + 42967595, + 2679548 + ], + [ + 46634688, + 66800444 + ], + [ + 74664038, + 40134162 + ], + [ + 26375179, + 67937094 + ], + [ + 59807962, + 66104554 + ], + [ + 60442860, + 62027700 + ], + [ + 70599069, + 42892430 + ], + [ + 19721251, + 93774532 + ], + [ + 55278157, + 31503732 + ], + [ + 39670167, + 56405657 + ], + [ + 98653686, + 75023430 + ], + [ + 92785137, + 604009 + ], + [ + 25494445, + 24918726 + ], + [ + 31966772, + 93935561 + ], + [ + 14573022, + 41408341 + ], + [ + 15219739, + 15856448 + ], + [ + 10281935, + 23073885 + ], + [ + 24001265, + 49527219 + ], + [ + 38806545, + 33784356 + ], + [ + 10344764, + 84361254 + ], + [ + 58264560, + 31953444 + ], + [ + 25440053, + 6799346 + ], + [ + 79920207, + 76498020 + ], + [ + 12619123, + 72765618 + ], + [ + 86658279, + 23223613 + ], + [ + 15531715, + 54109595 + ], + [ + 28074067, + 91174105 + ], + [ + 40952230, + 92408578 + ], + [ + 35533968, + 27397056 + ], + [ + 45576856, + 91415936 + ], + [ + 59404906, + 52851696 + ], + [ + 4471044, + 37059837 + ], + [ + 61598215, + 94841116 + ], + [ + 67634955, + 16433527 + ], + [ + 37188066, + 22952289 + ], + [ + 25769520, + 85641164 + ], + [ + 44790187, + 81496162 + ], + [ + 91765909, + 12398530 + ], + [ + 85317373, + 35397377 + ], + [ + 44253114, + 61357376 + ], + [ + 18210017, + 77228173 + ], + [ + 15579002, + 49423527 + ], + [ + 45074289, + 83101960 + ], + [ + 31420166, + 25069826 + ], + [ + 52224528, + 33776126 + ], + [ + 33971757, + 31487438 + ], + [ + 82915937, + 40117968 + ], + [ + 56679828, + 21123867 + ], + [ + 81425477, + 81274844 + ], + [ + 53141220, + 62241000 + ], + [ + 554775, + 89554515 + ], + [ + 52891160, + 98468499 + ], + [ + 53169337, + 73388206 + ], + [ + 40158019, + 7498619 + ], + [ + 53198457, + 86551372 + ], + [ + 70911007, + 77083588 + ], + [ + 49922287, + 83908234 + ], + [ + 9083476, + 31944474 + ], + [ + 23151172, + 43682942 + ], + [ + 92329061, + 96018693 + ], + [ + 66376924, + 79018792 + ], + [ + 49117534, + 75951228 + ], + [ + 51836732, + 4710537 + ], + [ + 17165834, + 61608605 + ], + [ + 58729441, + 99305784 + ], + [ + 57773915, + 67742570 + ], + [ + 61684363, + 92210286 + ], + [ + 13434191, + 58637740 + ], + [ + 2257411, + 46282081 + ], + [ + 344120, + 4202540 + ], + [ + 99723457, + 20047385 + ], + [ + 82520818, + 51654436 + ], + [ + 27659098, + 27490264 + ], + [ + 18439273, + 77419255 + ], + [ + 27823944, + 85371408 + ], + [ + 62805367, + 83709073 + ], + [ + 25826080, + 92740637 + ], + [ + 19255994, + 16264471 + ], + [ + 74320709, + 32489779 + ], + [ + 18169674, + 34039822 + ], + [ + 48814756, + 10505331 + ], + [ + 62334247, + 9340153 + ], + [ + 18936657, + 82566981 + ], + [ + 64565115, + 60501614 + ], + [ + 61599479, + 60725643 + ], + [ + 87472106, + 26257510 + ], + [ + 2636813, + 35020589 + ], + [ + 72751751, + 27395817 + ], + [ + 94941008, + 92178850 + ], + [ + 43892242, + 53879648 + ], + [ + 72280410, + 48341321 + ], + [ + 29614115, + 51208161 + ], + [ + 37663637, + 58083900 + ], + [ + 15353139, + 95483435 + ], + [ + 95520073, + 15923325 + ], + [ + 14581031, + 57046824 + ], + [ + 42672765, + 2151298 + ], + [ + 82602934, + 70331743 + ], + [ + 32652792, + 97575944 + ], + [ + 13855668, + 96880183 + ], + [ + 63374928, + 49764617 + ], + [ + 73501251, + 44019537 + ], + [ + 15381223, + 53229757 + ], + [ + 77467547, + 56361418 + ], + [ + 4013509, + 71842092 + ], + [ + 75826229, + 83197273 + ], + [ + 71726048, + 19749729 + ], + [ + 11168476, + 87407141 + ], + [ + 46380028, + 83734849 + ], + [ + 61766529, + 31689092 + ], + [ + 85901825, + 58182814 + ], + [ + 82808377, + 98239519 + ], + [ + 11590657, + 12816564 + ], + [ + 24463040, + 42193043 + ], + [ + 75032277, + 46224585 + ], + [ + 22209830, + 37249798 + ], + [ + 11372511, + 82973778 + ], + [ + 34589467, + 20683137 + ], + [ + 22441355, + 96724262 + ], + [ + 58941353, + 17919760 + ], + [ + 67159164, + 35820491 + ], + [ + 41304110, + 27984646 + ], + [ + 74314725, + 53868747 + ], + [ + 13437620, + 50589678 + ], + [ + 25807539, + 21628955 + ], + [ + 28560327, + 78572157 + ], + [ + 94981019, + 31456542 + ], + [ + 5554164, + 40972929 + ], + [ + 19239742, + 18188206 + ], + [ + 39950122, + 96686208 + ], + [ + 62585281, + 57418229 + ], + [ + 52735084, + 46030838 + ], + [ + 3323484, + 90074502 + ], + [ + 78216724, + 87888795 + ], + [ + 82990337, + 68578857 + ], + [ + 12596368, + 99659481 + ], + [ + 85565730, + 31853869 + ], + [ + 20950324, + 12065332 + ], + [ + 13490315, + 41748765 + ], + [ + 97552235, + 52797267 + ], + [ + 81717965, + 10540657 + ], + [ + 69736027, + 45919192 + ], + [ + 7455644, + 24927364 + ], + [ + 24013606, + 28948148 + ], + [ + 40110040, + 29325933 + ], + [ + 5458431, + 14012955 + ], + [ + 37533217, + 26690140 + ], + [ + 50756041, + 46416246 + ], + [ + 65308835, + 7206775 + ], + [ + 42429272, + 19045279 + ], + [ + 37880113, + 72665942 + ], + [ + 60161068, + 68373681 + ], + [ + 45281218, + 67417036 + ], + [ + 6130897, + 54384372 + ], + [ + 2918303, + 13423922 + ], + [ + 42884471, + 63637290 + ], + [ + 66943226, + 80465309 + ], + [ + 69873660, + 31571811 + ], + [ + 95814451, + 64474522 + ], + [ + 4600960, + 11347773 + ], + [ + 85375084, + 71140608 + ], + [ + 11871831, + 95876177 + ], + [ + 95821877, + 64352377 + ], + [ + 84297104, + 17935451 + ], + [ + 14349536, + 54447728 + ], + [ + 56468223, + 34697537 + ], + [ + 69442328, + 13341418 + ], + [ + 93655388, + 57829262 + ], + [ + 15163629, + 77004274 + ], + [ + 68906630, + 52812879 + ], + [ + 22061149, + 70524761 + ], + [ + 4155382, + 60553141 + ], + [ + 9047980, + 25649860 + ], + [ + 71009344, + 12224041 + ], + [ + 84477162, + 13303441 + ], + [ + 43138522, + 57887638 + ], + [ + 19567955, + 32342069 + ], + [ + 8054674, + 23129879 + ], + [ + 74154812, + 57003 + ], + [ + 2221558, + 68131080 + ], + [ + 1857724, + 28714214 + ], + [ + 76588443, + 54058296 + ], + [ + 42470857, + 51463268 + ], + [ + 22310545, + 35322776 + ], + [ + 76488004, + 95186144 + ], + [ + 90216839, + 44719353 + ], + [ + 13960600, + 25561958 + ], + [ + 23513378, + 45461301 + ], + [ + 22637500, + 18615648 + ], + [ + 57945304, + 49973981 + ], + [ + 73019900, + 58833171 + ], + [ + 84869152, + 65570260 + ], + [ + 81866101, + 89450692 + ], + [ + 51871605, + 90795290 + ], + [ + 5956820, + 92525331 + ], + [ + 46472633, + 21083370 + ], + [ + 42904672, + 23470686 + ], + [ + 23650541, + 48379353 + ], + [ + 75270730, + 51925926 + ], + [ + 93154380, + 9970320 + ], + [ + 58266131, + 24180816 + ], + [ + 45816457, + 21548820 + ], + [ + 57045760, + 63891748 + ], + [ + 58150988, + 57012312 + ], + [ + 7856411, + 87359942 + ], + [ + 24981913, + 8723323 + ], + [ + 67444077, + 81328091 + ], + [ + 4106455, + 33971472 + ], + [ + 85962151, + 32768997 + ], + [ + 58232582, + 12976656 + ], + [ + 57004019, + 46803590 + ], + [ + 10585874, + 61534602 + ], + [ + 70535946, + 85899973 + ], + [ + 64287333, + 83543718 + ], + [ + 36796968, + 64485518 + ], + [ + 84222885, + 90899491 + ], + [ + 32712978, + 60394567 + ], + [ + 2628137, + 34742853 + ], + [ + 61636956, + 28622951 + ], + [ + 50314912, + 92980089 + ], + [ + 72485036, + 21866362 + ], + [ + 21634276, + 54475837 + ], + [ + 59060573, + 15083838 + ], + [ + 91570468, + 32263444 + ], + [ + 66263506, + 83648687 + ], + [ + 88480393, + 43408671 + ], + [ + 59930626, + 48460786 + ], + [ + 88963001, + 87176475 + ], + [ + 11858309, + 62399348 + ], + [ + 72270384, + 59734653 + ], + [ + 38401197, + 87499799 + ], + [ + 39527749, + 6106560 + ], + [ + 75128340, + 68214552 + ], + [ + 13035285, + 66380319 + ], + [ + 85457400, + 54672749 + ], + [ + 66146598, + 13220021 + ], + [ + 60171510, + 13858472 + ], + [ + 84325721, + 89144803 + ], + [ + 93940663, + 60792060 + ], + [ + 76443024, + 8907358 + ], + [ + 30818766, + 50937177 + ], + [ + 14258820, + 59717241 + ], + [ + 72588867, + 25034027 + ], + [ + 58566186, + 81202223 + ], + [ + 58215782, + 55875208 + ], + [ + 89588352, + 60377629 + ], + [ + 34278140, + 17172527 + ], + [ + 25099738, + 79742333 + ], + [ + 37817026, + 25682206 + ], + [ + 54109985, + 15058772 + ], + [ + 43354731, + 53616268 + ], + [ + 30500382, + 27274952 + ], + [ + 40910251, + 38536064 + ], + [ + 47574869, + 19967802 + ], + [ + 20333447, + 57599750 + ], + [ + 42174991, + 89959340 + ], + [ + 89411188, + 65685584 + ], + [ + 49310702, + 68677848 + ], + [ + 55895168, + 13623765 + ], + [ + 75893121, + 68824763 + ], + [ + 48019977, + 4466237 + ], + [ + 33383790, + 87609890 + ], + [ + 47851182, + 86683672 + ], + [ + 24614013, + 99593498 + ], + [ + 21137051, + 87840568 + ], + [ + 93623776, + 9898417 + ], + [ + 28118533, + 91533512 + ], + [ + 63373105, + 64962407 + ], + [ + 92961313, + 30441621 + ], + [ + 86399930, + 89183309 + ], + [ + 69070098, + 6055284 + ], + [ + 10734550, + 46661415 + ], + [ + 64342316, + 17436545 + ], + [ + 51239510, + 52172845 + ], + [ + 96954888, + 89739971 + ], + [ + 39576698, + 16606314 + ], + [ + 59344708, + 76206979 + ], + [ + 77293537, + 82778374 + ], + [ + 35927657, + 87039121 + ], + [ + 36185354, + 37330368 + ], + [ + 33732214, + 42893357 + ], + [ + 23208574, + 7887347 + ], + [ + 39452237, + 73925146 + ], + [ + 57079469, + 23196310 + ], + [ + 43210076, + 78038955 + ], + [ + 41989264, + 76975481 + ], + [ + 25436058, + 86331069 + ], + [ + 9876180, + 93056413 + ], + [ + 6925882, + 41688647 + ], + [ + 93426877, + 3524639 + ], + [ + 35783564, + 94992681 + ], + [ + 90994036, + 60491668 + ], + [ + 22774473, + 4309126 + ], + [ + 56969871, + 69575604 + ], + [ + 28837258, + 57175561 + ], + [ + 5504928, + 87696527 + ], + [ + 86738495, + 88253398 + ], + [ + 25130992, + 38644623 + ], + [ + 46168453, + 82249680 + ], + [ + 76144592, + 12357496 + ], + [ + 97728727, + 54812567 + ], + [ + 88976408, + 92159886 + ], + [ + 45240731, + 59191417 + ], + [ + 11118570, + 42331461 + ], + [ + 29899769, + 40684420 + ], + [ + 36827385, + 12396146 + ], + [ + 11975738, + 86419527 + ], + [ + 29131036, + 36396826 + ], + [ + 25303861, + 86182771 + ], + [ + 34153282, + 78505619 + ], + [ + 76449116, + 75473929 + ], + [ + 41108811, + 12986311 + ], + [ + 37208424, + 7389507 + ], + [ + 22368079, + 39583130 + ], + [ + 15124158, + 70066092 + ], + [ + 33343066, + 66666403 + ], + [ + 70128698, + 32719894 + ], + [ + 64826332, + 54481863 + ], + [ + 7869864, + 61818884 + ], + [ + 2580616, + 61059184 + ], + [ + 71841634, + 61731471 + ], + [ + 84879493, + 73714773 + ], + [ + 11384229, + 51017759 + ], + [ + 99108150, + 10230712 + ], + [ + 73729578, + 11479495 + ], + [ + 96772940, + 13262459 + ], + [ + 8207279, + 82675184 + ], + [ + 29927314, + 25617341 + ], + [ + 58684741, + 40714075 + ], + [ + 18533844, + 73688139 + ], + [ + 17684075, + 80707498 + ], + [ + 11853049, + 37934919 + ], + [ + 84420282, + 25312416 + ], + [ + 8150731, + 92413815 + ], + [ + 18065968, + 70530567 + ], + [ + 99262294, + 96288826 + ], + [ + 56275818, + 71599114 + ], + [ + 97969591, + 99780965 + ], + [ + 58586751, + 79299490 + ], + [ + 44946821, + 4396500 + ], + [ + 88768854, + 28399161 + ], + [ + 6012966, + 31379770 + ], + [ + 79014198, + 20564833 + ], + [ + 3480513, + 58081917 + ], + [ + 45235752, + 33516449 + ], + [ + 23141316, + 50121524 + ], + [ + 32099450, + 89802741 + ], + [ + 80918951, + 19686047 + ], + [ + 32241901, + 23752701 + ], + [ + 32454498, + 46849057 + ], + [ + 95646818, + 3786223 + ], + [ + 5398000, + 98502779 + ], + [ + 45757667, + 17819240 + ], + [ + 85710762, + 42799990 + ], + [ + 85180222, + 35923067 + ], + [ + 69646784, + 18425793 + ], + [ + 83842797, + 43834707 + ], + [ + 2312479, + 18238943 + ], + [ + 41147896, + 27612205 + ], + [ + 3976066, + 92091210 + ], + [ + 832158, + 83327542 + ], + [ + 77361758, + 75343068 + ], + [ + 53144441, + 27157670 + ], + [ + 98364757, + 7644332 + ], + [ + 91725072, + 7667768 + ], + [ + 89322309, + 89401239 + ], + [ + 43912157, + 18617485 + ], + [ + 54351257, + 64419988 + ], + [ + 4762825, + 33007496 + ], + [ + 11465844, + 40364102 + ], + [ + 85282797, + 35701432 + ], + [ + 59344971, + 87529115 + ], + [ + 76220385, + 13783100 + ], + [ + 86661665, + 10976308 + ], + [ + 83132530, + 9002785 + ], + [ + 72998520, + 5975948 + ], + [ + 4134041, + 92060371 + ], + [ + 57214921, + 41413843 + ], + [ + 49769701, + 54773223 + ], + [ + 78237911, + 14171131 + ], + [ + 6413778, + 5144696 + ], + [ + 11910856, + 1439256 + ], + [ + 37580752, + 90824566 + ], + [ + 89440493, + 70924521 + ], + [ + 43143918, + 54447145 + ], + [ + 35315512, + 84465347 + ], + [ + 55109133, + 96066834 + ], + [ + 47556669, + 92768175 + ], + [ + 99739995, + 89053979 + ], + [ + 7399430, + 36723566 + ], + [ + 90065601, + 46233178 + ], + [ + 9265336, + 76524970 + ], + [ + 19256724, + 10775233 + ], + [ + 54956085, + 65169333 + ], + [ + 52610490, + 37093876 + ], + [ + 15067358, + 54045895 + ], + [ + 35110986, + 76956838 + ], + [ + 78365274, + 79825525 + ], + [ + 94175927, + 30225193 + ], + [ + 67663745, + 51526702 + ], + [ + 89846696, + 86126228 + ], + [ + 95240436, + 75941611 + ], + [ + 83814901, + 23616863 + ], + [ + 31483330, + 78798597 + ], + [ + 130544, + 72615619 + ], + [ + 40740206, + 69229084 + ], + [ + 25817160, + 33712573 + ], + [ + 19196256, + 73438352 + ], + [ + 62493229, + 14280515 + ], + [ + 42951381, + 7551333 + ], + [ + 37694863, + 43443554 + ], + [ + 87360004, + 90220840 + ], + [ + 53082645, + 66657243 + ], + [ + 71095655, + 30624735 + ], + [ + 80210748, + 18025882 + ], + [ + 81221673, + 97546268 + ], + [ + 47015267, + 79543872 + ], + [ + 57456492, + 78623277 + ], + [ + 50780252, + 81512266 + ], + [ + 20835257, + 70806136 + ], + [ + 28322333, + 62542853 + ], + [ + 19319879, + 76497789 + ], + [ + 39398412, + 81466702 + ], + [ + 55212507, + 64096115 + ], + [ + 21084522, + 5155706 + ], + [ + 4795632, + 38613497 + ], + [ + 1825626, + 5913735 + ], + [ + 45845843, + 87138610 + ], + [ + 23242102, + 82489259 + ], + [ + 31263354, + 39352389 + ], + [ + 3266707, + 62395813 + ], + [ + 59364782, + 21660163 + ], + [ + 49316012, + 54107278 + ], + [ + 93803650, + 81989314 + ], + [ + 1553351, + 69336741 + ], + [ + 99801315, + 45297404 + ], + [ + 50083933, + 46226717 + ], + [ + 78256660, + 63852458 + ], + [ + 53187265, + 87401417 + ], + [ + 3227034, + 85996700 + ], + [ + 6592658, + 92919589 + ], + [ + 27043573, + 56956150 + ], + [ + 69803659, + 17373648 + ], + [ + 23336684, + 45846224 + ], + [ + 86887959, + 86265577 + ], + [ + 53707900, + 16077283 + ], + [ + 55300797, + 68729682 + ], + [ + 77265476, + 20284677 + ], + [ + 66280767, + 77778044 + ], + [ + 31526669, + 50344439 + ], + [ + 27100329, + 66977218 + ], + [ + 53040411, + 40174032 + ], + [ + 6964028, + 39998415 + ], + [ + 46593479, + 32857460 + ], + [ + 18839035, + 55321127 + ], + [ + 47729920, + 31896945 + ], + [ + 87866073, + 68977002 + ], + [ + 48180060, + 18400447 + ], + [ + 48530061, + 67911619 + ], + [ + 94695320, + 59157950 + ], + [ + 20599926, + 46383393 + ], + [ + 59570571, + 55023577 + ], + [ + 18077351, + 19651239 + ], + [ + 35769880, + 83506422 + ], + [ + 91619453, + 62688229 + ], + [ + 40116616, + 95830367 + ], + [ + 79164345, + 54436025 + ], + [ + 94998719, + 13028082 + ], + [ + 16026678, + 23025851 + ], + [ + 76914597, + 61157932 + ], + [ + 12977950, + 763376 + ], + [ + 29068754, + 8195732 + ], + [ + 22721859, + 1800777 + ], + [ + 19631969, + 2363471 + ], + [ + 26535211, + 8712484 + ], + [ + 54243691, + 99526646 + ], + [ + 14906314, + 51109182 + ], + [ + 64642478, + 66678103 + ], + [ + 96324216, + 94034339 + ], + [ + 75521453, + 3699526 + ], + [ + 13723563, + 70737887 + ], + [ + 57493960, + 95350961 + ], + [ + 78218644, + 96916657 + ], + [ + 37903346, + 76385548 + ], + [ + 79317676, + 54449559 + ], + [ + 13154748, + 73950800 + ], + [ + 73596004, + 73645611 + ], + [ + 50350952, + 98367310 + ], + [ + 87174727, + 57104068 + ], + [ + 76601951, + 86396936 + ], + [ + 44899562, + 45454812 + ], + [ + 33453255, + 86185231 + ], + [ + 13099832, + 47379198 + ], + [ + 67443222, + 95577436 + ], + [ + 51502467, + 42351982 + ], + [ + 89148202, + 61030080 + ], + [ + 81832384, + 22311577 + ], + [ + 70526182, + 48677353 + ], + [ + 27294978, + 82357990 + ], + [ + 18558084, + 86272921 + ], + [ + 72407572, + 49429669 + ], + [ + 11164927, + 47593905 + ], + [ + 7305839, + 86941382 + ], + [ + 41753743, + 57896281 + ], + [ + 63101625, + 66374459 + ], + [ + 27158801, + 17134136 + ], + [ + 37751956, + 55486536 + ], + [ + 69916524, + 11787717 + ], + [ + 5436838, + 54949642 + ], + [ + 69519929, + 68679351 + ], + [ + 93220815, + 39687007 + ], + [ + 73483811, + 43413410 + ], + [ + 97378481, + 10835848 + ], + [ + 22404693, + 43438597 + ], + [ + 65679634, + 88936568 + ], + [ + 72955238, + 49493854 + ], + [ + 17331595, + 84251933 + ], + [ + 39131826, + 21825102 + ], + [ + 40393347, + 46380516 + ], + [ + 24662959, + 58764786 + ], + [ + 59414122, + 53713131 + ], + [ + 30417506, + 25033280 + ], + [ + 23847390, + 86059079 + ], + [ + 29994963, + 6302029 + ], + [ + 91433154, + 90904355 + ], + [ + 16888763, + 62204860 + ], + [ + 64350169, + 34254912 + ], + [ + 42009331, + 78416761 + ], + [ + 2850569, + 96752031 + ], + [ + 47261393, + 82715735 + ], + [ + 10772082, + 25422962 + ], + [ + 64817314, + 18275897 + ], + [ + 48411477, + 69584300 + ], + [ + 18123859, + 94791910 + ], + [ + 11870905, + 66110064 + ], + [ + 28856980, + 63406794 + ], + [ + 14749328, + 81323180 + ], + [ + 83474709, + 85398410 + ], + [ + 81090732, + 39370835 + ], + [ + 7616965, + 27000335 + ], + [ + 21463444, + 71567111 + ], + [ + 56454092, + 43344843 + ], + [ + 49019518, + 7517439 + ], + [ + 32725711, + 58767966 + ], + [ + 72512788, + 62869481 + ], + [ + 47175925, + 11060324 + ], + [ + 14087296, + 72950022 + ], + [ + 8277850, + 29949008 + ], + [ + 80854647, + 23135050 + ], + [ + 69903347, + 12481228 + ], + [ + 13906426, + 23105355 + ], + [ + 86558639, + 37218224 + ], + [ + 42086665, + 82423140 + ], + [ + 14773755, + 58852247 + ], + [ + 17122170, + 12919103 + ], + [ + 3097616, + 40597464 + ], + [ + 55550197, + 81415643 + ], + [ + 68528767, + 50908411 + ], + [ + 35482949, + 67418223 + ], + [ + 95181657, + 2885595 + ], + [ + 44214468, + 16823860 + ], + [ + 56897489, + 84356459 + ], + [ + 33544424, + 16220848 + ], + [ + 20547810, + 52039262 + ], + [ + 57200620, + 90314398 + ], + [ + 88050414, + 68125774 + ], + [ + 58628213, + 76818369 + ], + [ + 6715412, + 49063473 + ], + [ + 67488798, + 30138781 + ], + [ + 64107633, + 27860350 + ], + [ + 25278434, + 95644165 + ], + [ + 57464824, + 48897593 + ], + [ + 50923409, + 60741666 + ], + [ + 59831708, + 76252953 + ], + [ + 79205026, + 14473790 + ], + [ + 88236718, + 72272543 + ], + [ + 79614398, + 71292086 + ], + [ + 19519115, + 9776472 + ], + [ + 5413074, + 31026371 + ], + [ + 28876445, + 52148332 + ], + [ + 98028635, + 36622646 + ], + [ + 19803875, + 39831740 + ], + [ + 3424707, + 92194947 + ], + [ + 46415228, + 70728355 + ], + [ + 25362711, + 4596543 + ], + [ + 23635903, + 16403607 + ], + [ + 76042663, + 67622786 + ], + [ + 54371063, + 20294184 + ], + [ + 83465455, + 68715266 + ], + [ + 96989063, + 24425772 + ], + [ + 47646526, + 59504426 + ], + [ + 91094358, + 95377683 + ], + [ + 19012787, + 91534489 + ], + [ + 90209236, + 60865385 + ], + [ + 61867941, + 43515831 + ], + [ + 48144172, + 5977697 + ], + [ + 72640090, + 75868538 + ], + [ + 39809614, + 77905119 + ], + [ + 41206406, + 1698735 + ], + [ + 79766174, + 96722647 + ], + [ + 79111033, + 53667331 + ], + [ + 50610061, + 26683615 + ], + [ + 46296442, + 11894536 + ], + [ + 58501577, + 86708501 + ], + [ + 43011231, + 35098043 + ], + [ + 13398630, + 91873841 + ], + [ + 5221249, + 33600207 + ], + [ + 73617541, + 16317840 + ], + [ + 70161945, + 21112444 + ], + [ + 97860426, + 10910066 + ], + [ + 38023776, + 77122716 + ], + [ + 93718832, + 2730324 + ], + [ + 79139476, + 74505448 + ], + [ + 87143706, + 19895796 + ], + [ + 9964908, + 42075279 + ], + [ + 77403948, + 1213607 + ], + [ + 91552816, + 7164302 + ], + [ + 58401638, + 9676347 + ], + [ + 70738676, + 41091883 + ], + [ + 14077333, + 95785189 + ], + [ + 94523023, + 48764833 + ], + [ + 24053580, + 63402838 + ], + [ + 10841343, + 46725075 + ], + [ + 19455550, + 19069632 + ], + [ + 1282457, + 9697031 + ], + [ + 90021010, + 49685716 + ], + [ + 61910199, + 97671667 + ], + [ + 19276678, + 48165848 + ], + [ + 46272667, + 15629470 + ], + [ + 25314522, + 74544094 + ], + [ + 11550455, + 93587206 + ], + [ + 63113569, + 1781341 + ], + [ + 4619754, + 19160436 + ], + [ + 64278336, + 75353596 + ], + [ + 78004223, + 80215007 + ], + [ + 33877193, + 93073949 + ], + [ + 33091887, + 90768889 + ], + [ + 93980570, + 80017226 + ], + [ + 22581446, + 74961584 + ], + [ + 28880333, + 92111352 + ], + [ + 62410714, + 23379521 + ], + [ + 36997570, + 34121250 + ], + [ + 8955840, + 21648565 + ], + [ + 26042310, + 91322431 + ], + [ + 22938968, + 57492491 + ], + [ + 63483321, + 62011787 + ], + [ + 61072580, + 56181904 + ], + [ + 98496099, + 58211834 + ], + [ + 99459309, + 69541736 + ], + [ + 24369500, + 81966867 + ], + [ + 71044004, + 9685189 + ], + [ + 40312583, + 19503093 + ], + [ + 67519524, + 86038171 + ], + [ + 21700255, + 42565878 + ], + [ + 4822593, + 25116313 + ], + [ + 89952182, + 43968384 + ], + [ + 97773428, + 47634075 + ], + [ + 96935362, + 35116955 + ], + [ + 4661800, + 38800872 + ], + [ + 6241888, + 13146348 + ], + [ + 75736674, + 3457914 + ], + [ + 88195896, + 58893355 + ], + [ + 92208537, + 82185823 + ], + [ + 53146187, + 27919553 + ], + [ + 43141507, + 67476528 + ], + [ + 180674, + 35393793 + ], + [ + 16339544, + 44160142 + ], + [ + 2997533, + 21811473 + ], + [ + 78994679, + 65930007 + ], + [ + 35881857, + 39329331 + ], + [ + 1741836, + 66894408 + ], + [ + 11924790, + 54948194 + ], + [ + 45445470, + 34069789 + ], + [ + 11327001, + 38522520 + ], + [ + 89689590, + 79079990 + ], + [ + 43856181, + 13896426 + ], + [ + 64379673, + 25229002 + ], + [ + 86275417, + 64654998 + ], + [ + 14512541, + 96303327 + ], + [ + 10740051, + 44810744 + ], + [ + 76991349, + 45583226 + ], + [ + 3604768, + 69169808 + ], + [ + 37450844, + 91687932 + ], + [ + 1330273, + 36630785 + ], + [ + 28205921, + 72001988 + ], + [ + 34691739, + 51371003 + ], + [ + 5446582, + 23429678 + ], + [ + 92074072, + 67355060 + ], + [ + 71658763, + 13349419 + ], + [ + 8738755, + 62040985 + ], + [ + 36128896, + 45555402 + ], + [ + 24925259, + 65790165 + ], + [ + 55088542, + 71137268 + ], + [ + 87696748, + 94181126 + ], + [ + 99110127, + 22321673 + ], + [ + 82146140, + 95368395 + ], + [ + 67245102, + 21232244 + ], + [ + 80770502, + 98075121 + ], + [ + 28840514, + 10197497 + ], + [ + 37549291, + 71254377 + ], + [ + 45507425, + 45807070 + ], + [ + 58612669, + 84698929 + ], + [ + 60334630, + 79461901 + ], + [ + 22056200, + 74116934 + ], + [ + 54720431, + 99931867 + ], + [ + 21231699, + 29014781 + ], + [ + 30817560, + 93065331 + ], + [ + 18952597, + 18532546 + ], + [ + 69304276, + 63602621 + ], + [ + 15712696, + 53599532 + ], + [ + 43225229, + 28396020 + ], + [ + 5910248, + 59272855 + ], + [ + 52378227, + 45471521 + ], + [ + 21527117, + 64335763 + ], + [ + 57331263, + 72964716 + ], + [ + 63153299, + 35225355 + ], + [ + 51626950, + 26252429 + ], + [ + 76216465, + 65482035 + ], + [ + 70879849, + 5727226 + ], + [ + 1336066, + 52771477 + ], + [ + 81618710, + 8326759 + ], + [ + 50302960, + 72097088 + ], + [ + 92646380, + 96472422 + ], + [ + 90657671, + 48938992 + ], + [ + 13035234, + 39001792 + ], + [ + 23583850, + 16408179 + ], + [ + 15265971, + 692430 + ], + [ + 85899527, + 34270681 + ], + [ + 35141976, + 8326776 + ], + [ + 91290893, + 86951404 + ], + [ + 60281810, + 72123890 + ], + [ + 21286173, + 11939828 + ], + [ + 26608107, + 80794965 + ], + [ + 35554835, + 59974932 + ], + [ + 36544701, + 38534561 + ], + [ + 90435767, + 99454983 + ], + [ + 9551388, + 7833555 + ], + [ + 86370713, + 89797785 + ], + [ + 4289203, + 16634809 + ], + [ + 49473294, + 5084892 + ], + [ + 89212208, + 65466382 + ], + [ + 2254601, + 5589548 + ], + [ + 93566115, + 95337392 + ], + [ + 20614676, + 82926737 + ], + [ + 25755414, + 20339722 + ], + [ + 10510785, + 63102726 + ], + [ + 92667272, + 53448143 + ], + [ + 14344464, + 72170003 + ], + [ + 76114493, + 83462070 + ], + [ + 44579510, + 91577412 + ], + [ + 28035878, + 93256058 + ], + [ + 95399547, + 2607390 + ], + [ + 73722215, + 94618928 + ], + [ + 65416761, + 5851139 + ], + [ + 69992497, + 39033818 + ], + [ + 83895725, + 25924313 + ], + [ + 91107367, + 38255537 + ], + [ + 3903602, + 68508162 + ], + [ + 87428856, + 17319217 + ], + [ + 99116325, + 21169056 + ], + [ + 73948634, + 14708244 + ], + [ + 77279967, + 65980561 + ], + [ + 1957232, + 96333161 + ], + [ + 24367220, + 29792829 + ], + [ + 10799552, + 24652233 + ], + [ + 44132586, + 17276214 + ], + [ + 69089231, + 3441048 + ], + [ + 29861117, + 71060565 + ], + [ + 8699145, + 46892106 + ], + [ + 49909749, + 6310951 + ], + [ + 38265460, + 23694195 + ], + [ + 35542766, + 86281531 + ], + [ + 87592928, + 756227 + ], + [ + 29687650, + 19736988 + ], + [ + 47962263, + 27909513 + ], + [ + 48817876, + 8508722 + ], + [ + 81713403, + 37266827 + ], + [ + 13077877, + 42546218 + ], + [ + 93068482, + 37894649 + ], + [ + 59022265, + 40560249 + ], + [ + 16228430, + 13719758 + ], + [ + 74232236, + 43677558 + ], + [ + 75532999, + 29430041 + ], + [ + 66527957, + 25582288 + ], + [ + 93056779, + 75511204 + ], + [ + 88340567, + 39270765 + ], + [ + 170864, + 99136312 + ], + [ + 70234229, + 37939975 + ], + [ + 13857132, + 8063013 + ], + [ + 67059534, + 14119751 + ], + [ + 55072057, + 82424573 + ], + [ + 85444302, + 64485507 + ], + [ + 31803194, + 90772882 + ], + [ + 39939998, + 71205766 + ], + [ + 24637706, + 60444398 + ], + [ + 44251798, + 92424074 + ], + [ + 24041225, + 49780437 + ], + [ + 84799154, + 31378121 + ], + [ + 22892862, + 58585046 + ], + [ + 15811888, + 48017201 + ], + [ + 37911971, + 87754105 + ], + [ + 24819603, + 26299554 + ], + [ + 55969911, + 49256368 + ], + [ + 4917952, + 78784119 + ], + [ + 30377897, + 21606970 + ], + [ + 51701127, + 60885791 + ], + [ + 29572429, + 95077851 + ], + [ + 65293718, + 50505843 + ], + [ + 23351209, + 57686378 + ], + [ + 45583688, + 42048852 + ], + [ + 1587813, + 17025862 + ], + [ + 75194601, + 12777664 + ], + [ + 67332089, + 37877359 + ], + [ + 28622291, + 44723606 + ], + [ + 9156551, + 62939027 + ], + [ + 35792356, + 77029361 + ], + [ + 11407562, + 25873690 + ], + [ + 6420150, + 72355139 + ], + [ + 13297199, + 33541597 + ], + [ + 58056643, + 27154845 + ], + [ + 12590269, + 96558296 + ], + [ + 52093394, + 18671434 + ], + [ + 58697616, + 33986103 + ], + [ + 11606098, + 94544007 + ], + [ + 88899531, + 42323141 + ], + [ + 66592942, + 84998681 + ], + [ + 36887791, + 49179065 + ], + [ + 5985191, + 30368190 + ], + [ + 64341536, + 46760569 + ], + [ + 89322456, + 99449306 + ], + [ + 884576, + 87429709 + ], + [ + 83445806, + 81965003 + ], + [ + 64422048, + 96512630 + ], + [ + 43317128, + 16583470 + ], + [ + 32707645, + 92992644 + ], + [ + 18166914, + 90745283 + ], + [ + 55331658, + 86171351 + ], + [ + 47327497, + 99694133 + ], + [ + 20945910, + 934398 + ], + [ + 20089628, + 58212872 + ], + [ + 28091615, + 98548916 + ], + [ + 30886579, + 78122484 + ], + [ + 44671179, + 26099025 + ], + [ + 29230510, + 43545634 + ], + [ + 83052600, + 80580922 + ], + [ + 44109598, + 52436121 + ], + [ + 93666425, + 98680907 + ], + [ + 33916499, + 79030218 + ], + [ + 56644894, + 78033342 + ], + [ + 74316567, + 16174286 + ], + [ + 276397, + 37749085 + ], + [ + 33878805, + 74739156 + ], + [ + 93509766, + 33161179 + ], + [ + 24849470, + 18107809 + ], + [ + 78344425, + 21232754 + ], + [ + 92484198, + 66659672 + ], + [ + 31266952, + 36037461 + ], + [ + 81234116, + 31989880 + ], + [ + 19306540, + 31250751 + ], + [ + 40153438, + 47364411 + ], + [ + 2123785, + 4505798 + ], + [ + 1738656, + 57692199 + ], + [ + 47655460, + 21480587 + ], + [ + 11279545, + 37549940 + ], + [ + 91705234, + 40950408 + ], + [ + 88911280, + 44863632 + ], + [ + 66429588, + 55002554 + ], + [ + 93486006, + 94558185 + ], + [ + 80689820, + 60413450 + ], + [ + 8713559, + 91224034 + ], + [ + 6982490, + 80717432 + ], + [ + 59296646, + 97420811 + ], + [ + 54856599, + 99679497 + ], + [ + 78716235, + 98623946 + ], + [ + 18747576, + 94737801 + ], + [ + 54179641, + 19877009 + ], + [ + 22757653, + 22280352 + ], + [ + 65559848, + 53110392 + ], + [ + 9311833, + 87961702 + ], + [ + 61539100, + 62918930 + ], + [ + 75074504, + 65283888 + ], + [ + 53216321, + 28313121 + ], + [ + 8632847, + 58446292 + ], + [ + 86191881, + 91332293 + ], + [ + 66411407, + 83908813 + ], + [ + 97293931, + 56538953 + ], + [ + 36747973, + 92538240 + ], + [ + 82502022, + 88580831 + ], + [ + 44623105, + 12937532 + ], + [ + 33148315, + 63152564 + ], + [ + 1413182, + 62906321 + ], + [ + 34543984, + 1392156 + ], + [ + 6084158, + 43932441 + ], + [ + 81462693, + 56489302 + ], + [ + 54572952, + 80853338 + ], + [ + 72482925, + 43756874 + ], + [ + 59398246, + 68700579 + ], + [ + 14720683, + 71221206 + ], + [ + 44969164, + 35905574 + ], + [ + 20693968, + 15191123 + ], + [ + 8075520, + 43233579 + ], + [ + 57229742, + 43978054 + ], + [ + 67947868, + 92340007 + ], + [ + 1008682, + 75892015 + ], + [ + 3673136, + 86745232 + ], + [ + 67289360, + 83292787 + ], + [ + 94994056, + 96908237 + ], + [ + 40396008, + 80732860 + ], + [ + 18105425, + 36769302 + ], + [ + 23777326, + 65890635 + ], + [ + 89009831, + 79207518 + ], + [ + 27509774, + 60378092 + ], + [ + 36661989, + 65855763 + ], + [ + 52642370, + 76882038 + ], + [ + 85335798, + 21326558 + ], + [ + 43501692, + 35734903 + ], + [ + 62303751, + 4480001 + ], + [ + 65425152, + 74081187 + ], + [ + 25401803, + 39413172 + ], + [ + 60407808, + 85281898 + ], + [ + 35240596, + 90495859 + ], + [ + 26307505, + 48762431 + ], + [ + 35140924, + 42396026 + ], + [ + 16775902, + 96110845 + ], + [ + 62695027, + 91640781 + ], + [ + 76124127, + 16248945 + ], + [ + 96130090, + 79060555 + ], + [ + 29459806, + 9176410 + ], + [ + 18536494, + 55166074 + ], + [ + 78989258, + 48275500 + ], + [ + 98420556, + 11173939 + ], + [ + 46962392, + 66420201 + ], + [ + 81765879, + 29090333 + ], + [ + 49062555, + 30259221 + ], + [ + 10964691, + 34809956 + ], + [ + 2099901, + 27974606 + ], + [ + 31931821, + 3769265 + ], + [ + 89241902, + 10237521 + ], + [ + 31506749, + 37605765 + ], + [ + 30956837, + 88933966 + ], + [ + 49554572, + 54162616 + ], + [ + 77967891, + 63780256 + ], + [ + 1120244, + 5266541 + ], + [ + 78053347, + 89671695 + ], + [ + 59154468, + 29091376 + ], + [ + 15711601, + 21100266 + ], + [ + 43216852, + 11336612 + ], + [ + 95171923, + 67499762 + ], + [ + 91808228, + 17835101 + ], + [ + 8685624, + 14079125 + ], + [ + 97053131, + 78200303 + ], + [ + 37524361, + 35250437 + ], + [ + 14596852, + 90911214 + ], + [ + 45718458, + 52268184 + ], + [ + 53697584, + 41751241 + ], + [ + 88595408, + 74364745 + ], + [ + 67139711, + 78557909 + ], + [ + 12627850, + 55421773 + ], + [ + 47170736, + 30412911 + ], + [ + 78895163, + 54284089 + ], + [ + 90836675, + 62449427 + ], + [ + 94259151, + 59920450 + ], + [ + 8624991, + 73062621 + ], + [ + 97547449, + 43260186 + ], + [ + 6007233, + 5169883 + ], + [ + 77553243, + 60452485 + ], + [ + 5458140, + 50577069 + ], + [ + 72805456, + 79328948 + ], + [ + 4763465, + 87124353 + ], + [ + 89242742, + 20309176 + ], + [ + 30870121, + 33329833 + ], + [ + 44778590, + 7186900 + ], + [ + 37939757, + 35321523 + ], + [ + 43310753, + 72223112 + ], + [ + 30295056, + 1679400 + ], + [ + 43615546, + 13578008 + ], + [ + 43560722, + 67188752 + ], + [ + 20699704, + 70900584 + ], + [ + 76279483, + 21523666 + ], + [ + 5411299, + 49892063 + ], + [ + 52913883, + 49511093 + ], + [ + 42608212, + 7779803 + ], + [ + 16545797, + 20643862 + ], + [ + 76544681, + 38668399 + ], + [ + 20014782, + 26632790 + ], + [ + 97057242, + 33537450 + ], + [ + 69006884, + 52802046 + ], + [ + 72150565, + 40498491 + ], + [ + 71553192, + 46176475 + ], + [ + 45064787, + 33201833 + ], + [ + 91948517, + 37703030 + ], + [ + 11712690, + 75551513 + ], + [ + 28181236, + 49057195 + ], + [ + 31176833, + 44121503 + ], + [ + 50899300, + 66279435 + ], + [ + 81676339, + 56224842 + ], + [ + 32389763, + 4654707 + ], + [ + 87842245, + 32997907 + ], + [ + 40430898, + 31312340 + ], + [ + 33569369, + 70623690 + ], + [ + 8897034, + 4219361 + ], + [ + 51322844, + 1739070 + ], + [ + 73659298, + 25206341 + ], + [ + 17282610, + 7480199 + ], + [ + 83317784, + 16584947 + ], + [ + 4102834, + 30929580 + ], + [ + 99873169, + 61699945 + ], + [ + 5636045, + 38479210 + ], + [ + 44309322, + 19925314 + ], + [ + 34414606, + 73664317 + ], + [ + 80492193, + 56100123 + ], + [ + 81296851, + 76002838 + ], + [ + 15217016, + 87323622 + ], + [ + 22444157, + 25691631 + ], + [ + 60926916, + 75956194 + ], + [ + 80690241, + 77416194 + ], + [ + 34501429, + 13075615 + ], + [ + 21273490, + 83220272 + ], + [ + 81237817, + 11098623 + ], + [ + 89221372, + 76262671 + ], + [ + 20850510, + 82888349 + ], + [ + 95152509, + 89325201 + ], + [ + 35732654, + 38078127 + ], + [ + 40836764, + 88383011 + ], + [ + 67389825, + 85131655 + ], + [ + 75405915, + 30863867 + ], + [ + 50320073, + 78827797 + ], + [ + 6573025, + 83316388 + ], + [ + 76700714, + 72651804 + ], + [ + 55395650, + 68759297 + ], + [ + 33111829, + 21205523 + ], + [ + 41407197, + 62575552 + ], + [ + 86456006, + 30351641 + ], + [ + 26581139, + 44625651 + ], + [ + 26365837, + 32819306 + ], + [ + 88174734, + 85813119 + ], + [ + 48616846, + 88039845 + ], + [ + 98514354, + 58120540 + ], + [ + 24640225, + 40758588 + ], + [ + 27354490, + 69556342 + ], + [ + 73837716, + 43012948 + ], + [ + 47018386, + 99772348 + ], + [ + 14935354, + 90207416 + ], + [ + 31841726, + 25439498 + ], + [ + 11387400, + 99975525 + ], + [ + 22332212, + 66084917 + ], + [ + 2468089, + 98767396 + ], + [ + 22905109, + 76211798 + ], + [ + 54306156, + 4607176 + ], + [ + 53691029, + 62478135 + ], + [ + 43716862, + 99389103 + ], + [ + 39344469, + 2357358 + ], + [ + 41294427, + 93406179 + ], + [ + 78386284, + 16938954 + ], + [ + 29356742, + 83132244 + ], + [ + 20712284, + 41357945 + ], + [ + 99216438, + 26920204 + ], + [ + 54222198, + 81580169 + ], + [ + 451362, + 47024300 + ], + [ + 43374519, + 6430380 + ], + [ + 88710097, + 6659480 + ], + [ + 12190958, + 88542610 + ], + [ + 55737515, + 55320026 + ], + [ + 78052066, + 19505548 + ], + [ + 32159579, + 22434923 + ], + [ + 74034312, + 36481941 + ], + [ + 94817059, + 33357540 + ], + [ + 15735709, + 6168807 + ], + [ + 40883027, + 3297899 + ], + [ + 56181181, + 31590882 + ], + [ + 12524259, + 94457274 + ], + [ + 51084067, + 16404976 + ], + [ + 7204081, + 42729558 + ], + [ + 64759083, + 3556266 + ], + [ + 4146585, + 92285906 + ], + [ + 1366706, + 26507518 + ], + [ + 77771183, + 51106830 + ], + [ + 92333817, + 69253016 + ], + [ + 73000737, + 43545150 + ], + [ + 30357140, + 14342559 + ], + [ + 44452150, + 75704569 + ], + [ + 75788407, + 98528654 + ], + [ + 58622148, + 64132725 + ], + [ + 35928461, + 32492516 + ], + [ + 36692747, + 72632871 + ], + [ + 82265939, + 3899739 + ], + [ + 72294138, + 64304257 + ], + [ + 49399859, + 9444939 + ], + [ + 29384557, + 64321172 + ], + [ + 93439399, + 12372684 + ], + [ + 85232450, + 27369867 + ], + [ + 46687632, + 10906036 + ], + [ + 65214235, + 58640029 + ], + [ + 21394479, + 68461460 + ], + [ + 44595584, + 73920493 + ], + [ + 23756371, + 1496834 + ], + [ + 60396646, + 37645705 + ], + [ + 42379992, + 61975017 + ], + [ + 87554758, + 15144009 + ], + [ + 47734355, + 35623195 + ], + [ + 18785281, + 62702503 + ], + [ + 14554043, + 57971519 + ], + [ + 7460379, + 53595719 + ], + [ + 31218836, + 85937935 + ], + [ + 49801204, + 70821742 + ], + [ + 50152174, + 87641499 + ], + [ + 65653549, + 40699021 + ], + [ + 68368929, + 86584916 + ], + [ + 72365052, + 81273309 + ], + [ + 34982686, + 72853930 + ], + [ + 17064352, + 8154362 + ], + [ + 95441309, + 94094290 + ], + [ + 46752732, + 22301293 + ], + [ + 29278119, + 88208516 + ], + [ + 76865047, + 29013901 + ], + [ + 82557663, + 38244721 + ], + [ + 37952472, + 50733881 + ], + [ + 82665876, + 71587394 + ], + [ + 66446011, + 85645019 + ], + [ + 14986007, + 6584949 + ], + [ + 9333428, + 43092117 + ], + [ + 72750233, + 99124055 + ], + [ + 22732695, + 54613801 + ], + [ + 57093042, + 93002670 + ], + [ + 4423283, + 4736796 + ], + [ + 37224887, + 391343 + ], + [ + 34398464, + 8743815 + ], + [ + 75960515, + 43134937 + ], + [ + 7311411, + 10821119 + ], + [ + 82463130, + 95701043 + ], + [ + 44136390, + 57897453 + ], + [ + 61594334, + 45366422 + ], + [ + 86298088, + 38266272 + ], + [ + 143234, + 95954174 + ], + [ + 24793100, + 18659241 + ], + [ + 79657150, + 28846880 + ], + [ + 48694973, + 67663569 + ], + [ + 73265494, + 75265954 + ], + [ + 94253040, + 12353729 + ], + [ + 52592250, + 26060262 + ], + [ + 42588522, + 34646907 + ], + [ + 65807675, + 16850997 + ], + [ + 86496081, + 95121244 + ], + [ + 97237637, + 66163442 + ], + [ + 5968092, + 95290926 + ], + [ + 44028524, + 17903776 + ], + [ + 68503139, + 91927796 + ], + [ + 10738004, + 63016467 + ], + [ + 94265495, + 76577399 + ], + [ + 94506043, + 94795571 + ], + [ + 44353564, + 56448566 + ], + [ + 92230862, + 26443218 + ], + [ + 63453431, + 60477470 + ], + [ + 74938944, + 76144798 + ], + [ + 81562714, + 14542408 + ], + [ + 30256418, + 69633561 + ], + [ + 31288740, + 70389082 + ], + [ + 55302044, + 57798373 + ], + [ + 47005505, + 60840844 + ], + [ + 84252602, + 74694067 + ], + [ + 85287219, + 89758946 + ], + [ + 42719604, + 90560798 + ], + [ + 34224587, + 90265883 + ], + [ + 23035219, + 7366776 + ], + [ + 55965013, + 97847987 + ], + [ + 2382365, + 5616227 + ], + [ + 38561484, + 38049190 + ], + [ + 47558471, + 54442171 + ], + [ + 63633067, + 25633373 + ], + [ + 20155206, + 47127571 + ], + [ + 80685011, + 26083632 + ], + [ + 97996202, + 34159238 + ], + [ + 13601273, + 96142040 + ], + [ + 98357616, + 31947039 + ], + [ + 88641136, + 69873164 + ], + [ + 11046784, + 28658395 + ], + [ + 37908974, + 13950630 + ], + [ + 8888960, + 67054837 + ], + [ + 18639265, + 62623748 + ], + [ + 78284883, + 73067381 + ], + [ + 72351077, + 18286151 + ], + [ + 64893249, + 76506521 + ], + [ + 23163685, + 2018471 + ], + [ + 5575499, + 78209196 + ], + [ + 26763355, + 49278035 + ], + [ + 82376120, + 18228629 + ], + [ + 91237448, + 45287646 + ], + [ + 78705298, + 33916901 + ], + [ + 52470917, + 67472218 + ], + [ + 70166790, + 59596341 + ], + [ + 3188836, + 93056084 + ], + [ + 10772031, + 80734556 + ], + [ + 4938283, + 35290621 + ], + [ + 46928390, + 68935852 + ], + [ + 11022426, + 2810434 + ], + [ + 77254924, + 48489888 + ], + [ + 21434507, + 35664551 + ], + [ + 3937055, + 9316916 + ], + [ + 68768226, + 7342870 + ], + [ + 79346568, + 28660517 + ], + [ + 46956459, + 28926511 + ], + [ + 92803221, + 24760033 + ], + [ + 68430246, + 43256680 + ], + [ + 53498462, + 17927523 + ], + [ + 53634473, + 75309541 + ], + [ + 61542288, + 96386414 + ], + [ + 87906085, + 44089437 + ], + [ + 99514843, + 86423205 + ], + [ + 6409338, + 8322546 + ], + [ + 41978974, + 76807816 + ], + [ + 69324904, + 1665038 + ], + [ + 92753195, + 32095884 + ], + [ + 47137562, + 5174619 + ], + [ + 90802182, + 5614274 + ], + [ + 14520916, + 43358754 + ], + [ + 78509264, + 64933531 + ], + [ + 54752707, + 3612223 + ], + [ + 85126895, + 56186801 + ], + [ + 52572618, + 68764176 + ], + [ + 40412938, + 2529720 + ], + [ + 79615126, + 29665078 + ], + [ + 63516370, + 14507342 + ], + [ + 72593426, + 58828511 + ], + [ + 96559495, + 55503366 + ], + [ + 35792479, + 46948869 + ], + [ + 17398888, + 18188112 + ], + [ + 99543278, + 33636578 + ], + [ + 77670309, + 44543327 + ], + [ + 7463744, + 61597915 + ], + [ + 80245557, + 78162273 + ], + [ + 39749114, + 40734656 + ], + [ + 18937631, + 75037042 + ], + [ + 96800705, + 85699181 + ], + [ + 6103569, + 20153603 + ], + [ + 65429512, + 88188465 + ], + [ + 53880984, + 3776864 + ], + [ + 31903298, + 49363779 + ], + [ + 99443032, + 78980618 + ], + [ + 76652947, + 83603730 + ], + [ + 13465802, + 78178535 + ], + [ + 81095927, + 60634068 + ], + [ + 43318804, + 94449777 + ], + [ + 20175306, + 26379751 + ], + [ + 3499354, + 42718784 + ], + [ + 81729157, + 99406579 + ], + [ + 38322181, + 8525137 + ], + [ + 11585673, + 67658899 + ], + [ + 64603833, + 6218994 + ], + [ + 56604713, + 51612398 + ], + [ + 73310073, + 70619751 + ], + [ + 68627647, + 8383110 + ], + [ + 61276215, + 54017174 + ], + [ + 15489514, + 15691476 + ], + [ + 85002717, + 27063897 + ], + [ + 86634320, + 78444567 + ], + [ + 40531744, + 49644811 + ], + [ + 60809942, + 28188767 + ], + [ + 18987166, + 48944003 + ], + [ + 58960939, + 77158454 + ], + [ + 50248736, + 38901539 + ], + [ + 38131544, + 77982927 + ], + [ + 49984249, + 12156334 + ], + [ + 69175281, + 66639521 + ], + [ + 29363133, + 25121137 + ], + [ + 96302125, + 12772294 + ], + [ + 79875715, + 84786016 + ], + [ + 95123981, + 59577035 + ], + [ + 94325972, + 3182675 + ], + [ + 77846685, + 85439980 + ], + [ + 96744587, + 61087453 + ], + [ + 60804489, + 91434914 + ], + [ + 15987201, + 33016118 + ], + [ + 60269432, + 63671292 + ], + [ + 89174860, + 30888595 + ], + [ + 52057050, + 28400515 + ], + [ + 23997515, + 7359696 + ], + [ + 32760471, + 57350268 + ], + [ + 17797378, + 38738750 + ], + [ + 74726032, + 6606680 + ], + [ + 99798442, + 35461887 + ], + [ + 11475638, + 22861714 + ], + [ + 15615281, + 89554749 + ], + [ + 36430771, + 33464390 + ], + [ + 39297454, + 1670309 + ], + [ + 96169495, + 90590304 + ], + [ + 21435159, + 4208224 + ], + [ + 92535374, + 7385340 + ], + [ + 62906989, + 59598959 + ], + [ + 14967521, + 16110307 + ], + [ + 74997257, + 29418122 + ], + [ + 82673136, + 69525517 + ], + [ + 55797027, + 73089275 + ], + [ + 85858692, + 19972712 + ], + [ + 98471147, + 72122595 + ], + [ + 77706631, + 86413622 + ], + [ + 83714303, + 52552375 + ], + [ + 10308484, + 11741024 + ], + [ + 54477871, + 23530749 + ], + [ + 51225527, + 56310766 + ], + [ + 24633170, + 89488343 + ], + [ + 35189017, + 90883299 + ], + [ + 97748656, + 98640761 + ], + [ + 25892485, + 51839589 + ], + [ + 97815793, + 66658404 + ], + [ + 8918169, + 89380051 + ], + [ + 78434858, + 98271347 + ], + [ + 59628654, + 98042866 + ], + [ + 10019907, + 87873758 + ], + [ + 9210793, + 3262365 + ], + [ + 63090691, + 10568217 + ], + [ + 16599481, + 33739559 + ], + [ + 17040580, + 59682819 + ], + [ + 33454015, + 59091600 + ], + [ + 10596743, + 75280747 + ], + [ + 86166411, + 87998038 + ], + [ + 14049730, + 97332862 + ], + [ + 13622906, + 87362319 + ], + [ + 40904698, + 59316580 + ], + [ + 2135678, + 86442645 + ], + [ + 34703779, + 7365279 + ], + [ + 20283630, + 46931135 + ], + [ + 59906324, + 6070000 + ], + [ + 89711122, + 32929586 + ], + [ + 53997364, + 69580053 + ], + [ + 66826501, + 5543668 + ], + [ + 82781575, + 79761936 + ], + [ + 10925064, + 23528499 + ], + [ + 25192290, + 75566787 + ], + [ + 97162188, + 50378723 + ], + [ + 5511265, + 48166019 + ], + [ + 66876444, + 56717248 + ], + [ + 35592368, + 65789716 + ], + [ + 41418304, + 12521701 + ], + [ + 13775130, + 59793238 + ], + [ + 53490392, + 25658202 + ], + [ + 88512069, + 52777113 + ], + [ + 30390386, + 41627319 + ], + [ + 65155273, + 1894848 + ], + [ + 10764603, + 5943230 + ], + [ + 81548574, + 14057461 + ], + [ + 3272707, + 27711137 + ], + [ + 68041275, + 90890012 + ], + [ + 52820187, + 24326065 + ], + [ + 51236101, + 99635804 + ], + [ + 76048704, + 12044038 + ], + [ + 22636918, + 40245791 + ], + [ + 46376900, + 83340341 + ], + [ + 91795772, + 6740119 + ], + [ + 86328038, + 66130542 + ], + [ + 88269286, + 59213804 + ], + [ + 60992528, + 76329881 + ], + [ + 78453442, + 32886404 + ], + [ + 28653257, + 35088280 + ], + [ + 84987943, + 8237137 + ], + [ + 63057907, + 15305228 + ], + [ + 25588309, + 96344732 + ], + [ + 31436975, + 36487793 + ], + [ + 22068547, + 69702677 + ], + [ + 17821963, + 3357702 + ], + [ + 27421036, + 85823232 + ], + [ + 26196625, + 12390413 + ], + [ + 63486449, + 89777221 + ], + [ + 37510701, + 79287193 + ], + [ + 85117079, + 65306649 + ], + [ + 48808868, + 71751964 + ], + [ + 94018184, + 50601724 + ], + [ + 89771231, + 52890663 + ], + [ + 32330366, + 79009471 + ], + [ + 7720041, + 4411037 + ], + [ + 81594414, + 84798890 + ], + [ + 12036798, + 85049379 + ], + [ + 53054667, + 68786264 + ], + [ + 19511547, + 1536147 + ], + [ + 16327644, + 70616226 + ], + [ + 41699607, + 46503048 + ], + [ + 215706, + 34493765 + ], + [ + 35347653, + 16573577 + ], + [ + 97165764, + 87233073 + ], + [ + 94959101, + 66707062 + ], + [ + 58535531, + 42208058 + ], + [ + 19937590, + 90332030 + ], + [ + 73643205, + 93742754 + ], + [ + 38274060, + 47013658 + ], + [ + 430707, + 23204044 + ], + [ + 52066110, + 70631449 + ], + [ + 18214897, + 43490974 + ], + [ + 37756389, + 84125573 + ], + [ + 26084891, + 78151477 + ], + [ + 3392732, + 29279263 + ], + [ + 34876137, + 70112109 + ], + [ + 86216609, + 47638828 + ], + [ + 818157, + 66606148 + ], + [ + 49750020, + 39086528 + ], + [ + 12921772, + 32630067 + ], + [ + 25502957, + 51055485 + ], + [ + 38671352, + 39199353 + ], + [ + 50380298, + 12198817 + ], + [ + 42673748, + 34716544 + ], + [ + 37289772, + 96444164 + ], + [ + 40171859, + 64712953 + ], + [ + 78833831, + 9846058 + ], + [ + 39333226, + 13081808 + ], + [ + 96939792, + 28446415 + ], + [ + 57075374, + 28170781 + ], + [ + 48163790, + 35792488 + ], + [ + 34558757, + 55244249 + ], + [ + 86826392, + 42723216 + ], + [ + 46598240, + 8766654 + ], + [ + 33874465, + 67142207 + ], + [ + 45800505, + 14456124 + ], + [ + 36505825, + 69058679 + ], + [ + 42095303, + 93125002 + ], + [ + 4727190, + 5125999 + ], + [ + 4798549, + 13862019 + ], + [ + 56456303, + 2965784 + ], + [ + 53552501, + 90896096 + ], + [ + 49990757, + 7126691 + ], + [ + 24861205, + 98436641 + ], + [ + 34038232, + 3965784 + ], + [ + 29167415, + 71796335 + ], + [ + 38861161, + 35025995 + ], + [ + 12433377, + 81385780 + ], + [ + 89305963, + 95113449 + ], + [ + 37223667, + 20935817 + ], + [ + 34637564, + 3423377 + ], + [ + 66618892, + 46419881 + ], + [ + 64271691, + 11454379 + ], + [ + 11143335, + 85430641 + ], + [ + 41551333, + 51727269 + ], + [ + 34991146, + 57509165 + ], + [ + 26251319, + 71724251 + ], + [ + 15980627, + 67643768 + ], + [ + 78700713, + 3401742 + ], + [ + 33713998, + 19049660 + ], + [ + 74622081, + 46828137 + ], + [ + 27029118, + 3759269 + ], + [ + 23963720, + 86608674 + ], + [ + 39871464, + 3721520 + ], + [ + 70594138, + 91054475 + ], + [ + 79058565, + 34798179 + ], + [ + 58968094, + 55244488 + ], + [ + 18655454, + 69447623 + ], + [ + 85314608, + 68567642 + ], + [ + 36259599, + 32400674 + ], + [ + 44990810, + 95938490 + ], + [ + 30472249, + 96554610 + ], + [ + 35404913, + 17730092 + ], + [ + 99391106, + 45867696 + ], + [ + 11271723, + 90561760 + ], + [ + 92475976, + 65009193 + ], + [ + 97828249, + 73251272 + ], + [ + 80312804, + 55323800 + ], + [ + 41833486, + 80875011 + ], + [ + 80160568, + 25358191 + ], + [ + 92144801, + 28568106 + ], + [ + 70528778, + 5533559 + ], + [ + 4913528, + 2791121 + ], + [ + 36636905, + 49284298 + ], + [ + 3485586, + 71257812 + ], + [ + 30079172, + 67672578 + ], + [ + 96266436, + 9936285 + ], + [ + 17995670, + 23258931 + ], + [ + 3263176, + 83392265 + ], + [ + 51931628, + 71631916 + ], + [ + 51989288, + 96954657 + ], + [ + 46483114, + 62700434 + ], + [ + 89262382, + 80236135 + ], + [ + 22157906, + 66416141 + ], + [ + 4121187, + 31225415 + ], + [ + 50779038, + 58222935 + ], + [ + 48537588, + 74793340 + ], + [ + 62527834, + 62288535 + ], + [ + 27074969, + 38489588 + ], + [ + 30623705, + 8560885 + ], + [ + 49305239, + 17406142 + ], + [ + 39387848, + 74901507 + ], + [ + 59738925, + 82854909 + ], + [ + 312715, + 30987888 + ], + [ + 81242538, + 80901464 + ], + [ + 78566601, + 44534733 + ], + [ + 71725236, + 62151921 + ], + [ + 43718525, + 18215092 + ], + [ + 58121274, + 13266915 + ], + [ + 35327617, + 44008677 + ], + [ + 36189455, + 82167869 + ], + [ + 94495908, + 33823855 + ], + [ + 23576067, + 11475873 + ], + [ + 61263581, + 43490091 + ], + [ + 96182144, + 27677080 + ], + [ + 4466839, + 59773502 + ], + [ + 99423574, + 56305714 + ], + [ + 14562454, + 55986126 + ], + [ + 61940524, + 93292378 + ], + [ + 55172371, + 85731332 + ], + [ + 27242643, + 89035216 + ], + [ + 52682228, + 52145808 + ], + [ + 83279675, + 80346575 + ], + [ + 10176737, + 50753148 + ], + [ + 16471985, + 78733278 + ], + [ + 73184832, + 93646641 + ], + [ + 64197154, + 65955799 + ], + [ + 84640047, + 17359022 + ], + [ + 55050453, + 37479040 + ], + [ + 59724131, + 469980 + ], + [ + 7405414, + 26590684 + ], + [ + 74394373, + 97364127 + ], + [ + 35788087, + 66697993 + ], + [ + 61266352, + 86944149 + ], + [ + 16925518, + 36848501 + ], + [ + 91661888, + 23455882 + ], + [ + 32146750, + 55059447 + ], + [ + 93085136, + 85442043 + ], + [ + 12357790, + 17195433 + ], + [ + 21033462, + 73231934 + ], + [ + 20562711, + 3131316 + ], + [ + 50358947, + 39317064 + ], + [ + 56407891, + 96071975 + ], + [ + 48277057, + 12165225 + ], + [ + 43816229, + 45175059 + ], + [ + 3217078, + 73354604 + ], + [ + 3461337, + 4956307 + ], + [ + 48167207, + 79241231 + ], + [ + 34980668, + 74381021 + ], + [ + 91298751, + 77162918 + ], + [ + 6111297, + 35104056 + ], + [ + 28917068, + 13954891 + ], + [ + 89759999, + 49326323 + ], + [ + 21304518, + 7286748 + ], + [ + 42344882, + 85558629 + ], + [ + 27560726, + 65234641 + ], + [ + 54461842, + 47199692 + ], + [ + 79670371, + 42337702 + ], + [ + 52598950, + 99959839 + ], + [ + 15584006, + 86375639 + ], + [ + 75534721, + 80114625 + ], + [ + 95466078, + 49483886 + ], + [ + 82306482, + 63830301 + ], + [ + 66790436, + 98094846 + ], + [ + 57724152, + 53858517 + ], + [ + 48433382, + 48798354 + ], + [ + 71129371, + 79021989 + ], + [ + 4283478, + 9912476 + ], + [ + 13148349, + 87441380 + ], + [ + 40172037, + 25739926 + ], + [ + 43561873, + 52115548 + ], + [ + 12026864, + 51943383 + ], + [ + 62371695, + 88953425 + ], + [ + 6769496, + 272921 + ], + [ + 39825925, + 31505379 + ], + [ + 16096521, + 71796775 + ], + [ + 86035451, + 79926569 + ], + [ + 18205621, + 92970723 + ], + [ + 89756793, + 94156235 + ], + [ + 26103200, + 99361268 + ], + [ + 34001059, + 4295301 + ], + [ + 63227331, + 81810158 + ], + [ + 39301602, + 10742735 + ], + [ + 21114482, + 38862564 + ], + [ + 46899588, + 20555758 + ], + [ + 22567858, + 87473510 + ], + [ + 64643081, + 4035401 + ], + [ + 51842983, + 44342040 + ], + [ + 76829207, + 55777158 + ], + [ + 70508024, + 75858464 + ], + [ + 86044055, + 10258293 + ], + [ + 66437748, + 83328251 + ], + [ + 85317146, + 65058539 + ], + [ + 55597923, + 80889866 + ], + [ + 82616235, + 49026111 + ], + [ + 56926561, + 46817876 + ], + [ + 77901963, + 24103631 + ], + [ + 38385608, + 19371836 + ], + [ + 43770980, + 30676656 + ], + [ + 71794678, + 58959223 + ], + [ + 39460718, + 57288827 + ], + [ + 9039176, + 61290943 + ], + [ + 26984839, + 12155780 + ], + [ + 69333864, + 14462358 + ], + [ + 15589985, + 36943824 + ], + [ + 38803926, + 55455197 + ], + [ + 93812400, + 61107535 + ], + [ + 65962306, + 31248393 + ], + [ + 97228054, + 58372367 + ], + [ + 68307027, + 18477626 + ], + [ + 33405467, + 51250506 + ], + [ + 3734597, + 36969231 + ], + [ + 93561086, + 7389100 + ], + [ + 81770532, + 57675867 + ], + [ + 59113848, + 77027359 + ], + [ + 48488506, + 42647920 + ], + [ + 53628391, + 74020252 + ], + [ + 35273849, + 68652615 + ], + [ + 54643678, + 97706372 + ], + [ + 88960288, + 72572642 + ], + [ + 74169916, + 71972073 + ], + [ + 84316945, + 34114716 + ], + [ + 50008174, + 30164668 + ], + [ + 35913711, + 29795166 + ], + [ + 35445496, + 25800750 + ], + [ + 46829010, + 16886755 + ], + [ + 98020862, + 91972280 + ], + [ + 75800235, + 13523405 + ], + [ + 40799685, + 96191766 + ], + [ + 8495523, + 4901436 + ], + [ + 56009085, + 29903240 + ], + [ + 24997613, + 72446944 + ], + [ + 37811486, + 18515637 + ], + [ + 17016338, + 64334546 + ], + [ + 42052316, + 99746518 + ], + [ + 31424049, + 59535761 + ], + [ + 72710943, + 17366004 + ], + [ + 1721111, + 71224359 + ], + [ + 47346058, + 23016830 + ], + [ + 21066904, + 34105711 + ], + [ + 53148096, + 56181274 + ], + [ + 68609671, + 998499 + ], + [ + 31075254, + 37059050 + ], + [ + 744006, + 59297204 + ], + [ + 71964368, + 43028650 + ], + [ + 85656925, + 44057516 + ], + [ + 56084000, + 44555700 + ], + [ + 71920841, + 14794102 + ], + [ + 91124274, + 77383467 + ], + [ + 69557801, + 83638572 + ], + [ + 7373450, + 43961866 + ], + [ + 49458295, + 56507112 + ], + [ + 3884816, + 71968305 + ], + [ + 83566457, + 2069526 + ], + [ + 7895297, + 11593144 + ], + [ + 91929006, + 90392490 + ], + [ + 21457050, + 75904537 + ], + [ + 93367363, + 83636866 + ], + [ + 95731074, + 15526851 + ], + [ + 48202522, + 58588431 + ], + [ + 45095615, + 87592747 + ], + [ + 98910502, + 92790061 + ], + [ + 82475574, + 21204177 + ], + [ + 90685129, + 75540306 + ], + [ + 93168713, + 69090413 + ], + [ + 96528589, + 34946210 + ], + [ + 73158472, + 52769839 + ], + [ + 92824963, + 45682144 + ], + [ + 44554278, + 97513952 + ], + [ + 91981048, + 50976522 + ], + [ + 3075495, + 65541052 + ], + [ + 50243798, + 33312705 + ], + [ + 96994120, + 38693833 + ], + [ + 69975048, + 39527701 + ], + [ + 72797128, + 56989662 + ], + [ + 3988245, + 71145130 + ], + [ + 36479529, + 47553633 + ], + [ + 17938928, + 26863871 + ], + [ + 76924, + 91702069 + ], + [ + 20227606, + 68507227 + ], + [ + 53164777, + 10952120 + ], + [ + 54455601, + 82557279 + ], + [ + 22165557, + 91594989 + ], + [ + 24076007, + 16535152 + ], + [ + 36849818, + 12106715 + ], + [ + 52589238, + 20645934 + ], + [ + 12829758, + 58432675 + ], + [ + 61481789, + 22427038 + ], + [ + 70640594, + 29123381 + ], + [ + 13834754, + 14531590 + ], + [ + 18211746, + 47805754 + ], + [ + 58100535, + 38368657 + ], + [ + 57306400, + 45562257 + ], + [ + 30426533, + 97102464 + ], + [ + 25824436, + 60356316 + ], + [ + 74985445, + 7436113 + ], + [ + 97384689, + 25841198 + ], + [ + 4156384, + 18396739 + ], + [ + 42237851, + 705606 + ], + [ + 12871080, + 68728640 + ], + [ + 63721798, + 49945747 + ], + [ + 65783367, + 40205029 + ], + [ + 7230809, + 99516406 + ], + [ + 67611663, + 46642664 + ], + [ + 90263000, + 81940008 + ], + [ + 53760861, + 83599851 + ], + [ + 94584986, + 68195136 + ], + [ + 73505187, + 68020902 + ], + [ + 73365495, + 12244655 + ], + [ + 58491334, + 20530489 + ], + [ + 57482273, + 6032282 + ], + [ + 90766381, + 38098470 + ], + [ + 9751705, + 44551184 + ], + [ + 67731955, + 23952355 + ], + [ + 88490750, + 27424634 + ], + [ + 19504465, + 59252178 + ], + [ + 10728328, + 75206328 + ], + [ + 42043928, + 38977052 + ], + [ + 35182706, + 16339596 + ], + [ + 81748899, + 35051577 + ], + [ + 75322704, + 56348047 + ], + [ + 62164914, + 90078767 + ], + [ + 14838217, + 53205558 + ], + [ + 98309571, + 37696941 + ], + [ + 93027537, + 95880797 + ], + [ + 58464173, + 37630114 + ], + [ + 29702634, + 48723290 + ], + [ + 68011603, + 26000581 + ], + [ + 79359178, + 91702514 + ], + [ + 52896009, + 2335024 + ], + [ + 39071323, + 20303591 + ], + [ + 2713063, + 11297908 + ], + [ + 70410011, + 59631246 + ], + [ + 54811318, + 59361265 + ], + [ + 90201044, + 8642596 + ], + [ + 26371811, + 60376223 + ], + [ + 30804991, + 27455037 + ], + [ + 6525596, + 24113101 + ], + [ + 42186335, + 33183978 + ], + [ + 42207007, + 87234929 + ], + [ + 72210467, + 29135735 + ], + [ + 24758876, + 67331622 + ], + [ + 623242, + 20621660 + ], + [ + 39544507, + 55375034 + ], + [ + 5976210, + 79298952 + ], + [ + 70942444, + 33070105 + ], + [ + 1361399, + 6315106 + ], + [ + 36772291, + 8368851 + ], + [ + 19162560, + 46839145 + ], + [ + 42693534, + 5583585 + ], + [ + 59771917, + 76236576 + ], + [ + 23422123, + 86163570 + ], + [ + 31651191, + 84121759 + ], + [ + 74076900, + 17058399 + ], + [ + 88776427, + 62386777 + ], + [ + 28542555, + 39014913 + ], + [ + 12353075, + 41416557 + ], + [ + 8638076, + 1033831 + ], + [ + 31146680, + 76019804 + ], + [ + 51639978, + 53187101 + ], + [ + 15441498, + 33381392 + ], + [ + 29539843, + 4081778 + ], + [ + 78839589, + 61921525 + ], + [ + 93684257, + 87070463 + ], + [ + 70621582, + 13227123 + ], + [ + 45609637, + 12718605 + ], + [ + 88517714, + 9304883 + ], + [ + 68570896, + 75115130 + ], + [ + 69474402, + 7133640 + ], + [ + 97591181, + 98113327 + ], + [ + 83011537, + 42164412 + ], + [ + 94070714, + 86045171 + ], + [ + 39069709, + 97273908 + ], + [ + 21156580, + 2538580 + ], + [ + 65982700, + 4241724 + ], + [ + 77338879, + 68835052 + ], + [ + 18799894, + 5793856 + ], + [ + 39837570, + 70806434 + ], + [ + 20570072, + 34124231 + ], + [ + 14045451, + 54661929 + ], + [ + 85617559, + 16288767 + ], + [ + 41044255, + 26313821 + ], + [ + 79248062, + 30263353 + ], + [ + 21632032, + 91243568 + ], + [ + 72249835, + 46528317 + ], + [ + 65921500, + 81501385 + ], + [ + 66488258, + 2213407 + ], + [ + 57466164, + 22563357 + ], + [ + 59032597, + 53206290 + ], + [ + 83759070, + 31616331 + ], + [ + 70322059, + 26245769 + ], + [ + 91361358, + 86025570 + ], + [ + 12046123, + 3683637 + ], + [ + 23367419, + 18594508 + ], + [ + 70837609, + 19910620 + ], + [ + 29075549, + 6786946 + ], + [ + 87759589, + 438383 + ], + [ + 7001570, + 16884243 + ], + [ + 32882845, + 16429954 + ], + [ + 35034497, + 7204739 + ], + [ + 97214892, + 62111791 + ], + [ + 11482089, + 75844387 + ], + [ + 87306701, + 82754851 + ], + [ + 76817742, + 35692786 + ], + [ + 15899935, + 15749898 + ], + [ + 58640091, + 87163734 + ], + [ + 63099643, + 19168421 + ], + [ + 86900342, + 89114490 + ], + [ + 54964393, + 70635023 + ], + [ + 25936640, + 95407990 + ], + [ + 59055516, + 29482762 + ], + [ + 7084738, + 2961343 + ], + [ + 42249606, + 23180734 + ], + [ + 92278817, + 45359396 + ], + [ + 36180165, + 11311034 + ], + [ + 74709801, + 96766519 + ], + [ + 62642792, + 83469638 + ], + [ + 44893820, + 30194187 + ], + [ + 40742584, + 75698850 + ], + [ + 51298968, + 9061246 + ], + [ + 19226120, + 25537415 + ], + [ + 79863718, + 17728655 + ], + [ + 5464687, + 98701590 + ], + [ + 59486301, + 84391184 + ], + [ + 79375373, + 74791417 + ], + [ + 20876022, + 77407581 + ], + [ + 75162150, + 31202645 + ], + [ + 20834182, + 37337834 + ], + [ + 9361155, + 78175734 + ], + [ + 41540849, + 84907096 + ], + [ + 46235498, + 67297529 + ], + [ + 10832742, + 67576130 + ], + [ + 70761620, + 38218840 + ], + [ + 51121871, + 23204243 + ], + [ + 56869610, + 80654289 + ], + [ + 42135068, + 43372375 + ], + [ + 39712950, + 52576845 + ], + [ + 44110268, + 46391372 + ], + [ + 59046355, + 75121993 + ], + [ + 17563632, + 80247013 + ], + [ + 94991618, + 20612933 + ], + [ + 18059934, + 33714462 + ], + [ + 10697716, + 52950340 + ], + [ + 21559517, + 64505029 + ], + [ + 56086820, + 230901 + ], + [ + 90642364, + 55249809 + ], + [ + 80153614, + 46975266 + ], + [ + 15752999, + 14124745 + ], + [ + 63810194, + 54553931 + ], + [ + 24409222, + 68846875 + ], + [ + 11837954, + 27826588 + ], + [ + 48145579, + 49850800 + ], + [ + 7156739, + 1240014 + ], + [ + 45332065, + 59354915 + ], + [ + 74947597, + 98961023 + ], + [ + 29542681, + 48894796 + ], + [ + 53983500, + 83596607 + ], + [ + 68557982, + 83586668 + ], + [ + 76724238, + 12348775 + ], + [ + 68006738, + 74486401 + ], + [ + 42306640, + 4596944 + ], + [ + 12614852, + 96866943 + ], + [ + 39136143, + 71442436 + ], + [ + 25613484, + 99295330 + ], + [ + 82759217, + 41362967 + ], + [ + 96779324, + 85115696 + ], + [ + 5162686, + 55211871 + ], + [ + 3151713, + 4365610 + ], + [ + 2723159, + 13472834 + ], + [ + 72178304, + 15099314 + ], + [ + 49619072, + 47892630 + ], + [ + 65618386, + 45227327 + ], + [ + 21111460, + 46884952 + ], + [ + 80045347, + 66941296 + ], + [ + 59995956, + 34759262 + ], + [ + 17665719, + 40852529 + ], + [ + 4725407, + 44506192 + ], + [ + 32919228, + 34880001 + ], + [ + 59605532, + 36074800 + ], + [ + 16084591, + 47281251 + ], + [ + 89405223, + 93547268 + ], + [ + 8988235, + 94985138 + ], + [ + 9914397, + 78741681 + ], + [ + 81591738, + 4155763 + ], + [ + 97404333, + 75774653 + ], + [ + 58729460, + 80887341 + ], + [ + 81417744, + 35664128 + ], + [ + 12635528, + 18029144 + ], + [ + 44249160, + 26610846 + ], + [ + 7966956, + 5661292 + ], + [ + 28546918, + 28558499 + ], + [ + 53985769, + 51241761 + ], + [ + 18614330, + 57824639 + ], + [ + 27591970, + 58814135 + ], + [ + 7267929, + 8409990 + ], + [ + 664958, + 40267344 + ], + [ + 95872223, + 2170467 + ], + [ + 97513458, + 45845679 + ], + [ + 62001278, + 67297165 + ], + [ + 8489604, + 25873343 + ], + [ + 77199151, + 10892530 + ], + [ + 51625006, + 94834538 + ], + [ + 36228910, + 98026716 + ], + [ + 5554416, + 70803308 + ], + [ + 54366445, + 1261069 + ], + [ + 72409556, + 46858292 + ], + [ + 57439668, + 99772015 + ], + [ + 45662493, + 5221414 + ], + [ + 58562652, + 46515657 + ], + [ + 22308373, + 21655836 + ], + [ + 21225271, + 47565857 + ], + [ + 85444905, + 44757050 + ], + [ + 58032157, + 62785445 + ], + [ + 12993683, + 21057829 + ], + [ + 89610220, + 11517191 + ], + [ + 59827644, + 28393029 + ], + [ + 68510512, + 15406217 + ], + [ + 93084215, + 75971655 + ], + [ + 3293111, + 88179753 + ], + [ + 5229389, + 34633523 + ], + [ + 31469309, + 42527708 + ], + [ + 46187762, + 56470667 + ], + [ + 29687574, + 40755116 + ], + [ + 65407894, + 5092513 + ], + [ + 42370350, + 11195898 + ], + [ + 60368111, + 48457650 + ], + [ + 88613433, + 67218232 + ], + [ + 17818764, + 57147190 + ], + [ + 20748195, + 81687521 + ], + [ + 45333466, + 60009077 + ], + [ + 52668448, + 44470213 + ], + [ + 14093645, + 56985204 + ], + [ + 13984617, + 85734996 + ], + [ + 97009772, + 78431305 + ], + [ + 99838865, + 84347963 + ], + [ + 51598734, + 57486946 + ], + [ + 80815280, + 50387876 + ], + [ + 9643541, + 27498839 + ], + [ + 14967688, + 66007428 + ], + [ + 40669072, + 79466233 + ], + [ + 4898635, + 72472905 + ], + [ + 42590236, + 4005400 + ], + [ + 92012975, + 51572898 + ], + [ + 78599207, + 42674712 + ], + [ + 69984705, + 65481603 + ], + [ + 99336187, + 58745010 + ], + [ + 79342712, + 25521584 + ], + [ + 31927675, + 85029971 + ], + [ + 57376091, + 94591524 + ], + [ + 20645367, + 55411665 + ], + [ + 65558470, + 91948952 + ], + [ + 10053860, + 36547134 + ], + [ + 87861215, + 8692053 + ], + [ + 6432888, + 33711350 + ], + [ + 89476696, + 60448327 + ], + [ + 26871628, + 24917457 + ], + [ + 15251837, + 50876130 + ], + [ + 57050093, + 39384606 + ], + [ + 79922749, + 68166843 + ], + [ + 79096626, + 93438915 + ], + [ + 76719199, + 27237344 + ], + [ + 36247851, + 29801794 + ], + [ + 84184972, + 7158233 + ], + [ + 21793538, + 45028927 + ], + [ + 85921560, + 45470013 + ], + [ + 72640365, + 75380022 + ], + [ + 39483404, + 95295517 + ], + [ + 811868, + 93097464 + ], + [ + 23508197, + 62786505 + ], + [ + 71515646, + 94324021 + ], + [ + 35024944, + 6891963 + ], + [ + 64852349, + 73088578 + ], + [ + 92262980, + 85888698 + ], + [ + 99383433, + 48128108 + ], + [ + 96666225, + 21792662 + ], + [ + 12571803, + 56087613 + ], + [ + 4822259, + 92563940 + ], + [ + 46305604, + 84011463 + ], + [ + 1890606, + 25896485 + ], + [ + 80106312, + 31512593 + ], + [ + 98050417, + 83512589 + ], + [ + 16341145, + 83418314 + ], + [ + 95974563, + 5097212 + ], + [ + 20066534, + 68567009 + ], + [ + 77582282, + 89322860 + ], + [ + 95874869, + 95508254 + ], + [ + 14571703, + 9439524 + ], + [ + 64028001, + 71842552 + ], + [ + 11924531, + 44532197 + ], + [ + 74548467, + 17620239 + ], + [ + 76306309, + 41314902 + ], + [ + 46220524, + 7105404 + ], + [ + 51896215, + 89489946 + ], + [ + 65002730, + 91448678 + ], + [ + 62535733, + 37112800 + ], + [ + 47865909, + 3500076 + ], + [ + 55441209, + 58903613 + ], + [ + 19200876, + 45247405 + ], + [ + 63059530, + 35701631 + ], + [ + 98848421, + 26416558 + ], + [ + 63887683, + 1410747 + ], + [ + 11175753, + 61098042 + ], + [ + 45332533, + 81549518 + ], + [ + 22238463, + 69188436 + ], + [ + 3359424, + 16425050 + ], + [ + 53705769, + 55061388 + ], + [ + 29944949, + 21359272 + ], + [ + 57294456, + 90646730 + ], + [ + 67585217, + 58508928 + ], + [ + 22253136, + 88960909 + ], + [ + 20194827, + 73237197 + ], + [ + 52490706, + 20871703 + ], + [ + 92262688, + 72802558 + ], + [ + 89231110, + 39039813 + ], + [ + 84179353, + 17076990 + ], + [ + 19863069, + 37863921 + ], + [ + 75387022, + 78031187 + ], + [ + 46739184, + 18139562 + ], + [ + 67466258, + 52794539 + ], + [ + 16146165, + 80907499 + ], + [ + 82581470, + 71918608 + ], + [ + 68360985, + 56065229 + ], + [ + 58259849, + 66999243 + ], + [ + 34679773, + 48087938 + ], + [ + 3878932, + 85958012 + ], + [ + 56401862, + 23183037 + ], + [ + 21712050, + 88429464 + ], + [ + 6451954, + 58913300 + ], + [ + 63002666, + 4398837 + ], + [ + 87936670, + 30321619 + ], + [ + 30513479, + 42567997 + ], + [ + 56070382, + 39140215 + ], + [ + 51097683, + 57107994 + ], + [ + 7927222, + 54451480 + ], + [ + 82203209, + 38477122 + ], + [ + 35831558, + 92191773 + ], + [ + 36083529, + 5105376 + ], + [ + 37527149, + 29428391 + ], + [ + 84751738, + 39431866 + ], + [ + 13792786, + 82841684 + ], + [ + 95785786, + 46151227 + ], + [ + 58851517, + 46458901 + ], + [ + 97529198, + 72804021 + ], + [ + 3725337, + 24359180 + ], + [ + 92078759, + 82651142 + ], + [ + 15127160, + 14678221 + ], + [ + 98098688, + 72700951 + ], + [ + 56213933, + 43665894 + ], + [ + 59346092, + 29074281 + ], + [ + 556838, + 94822794 + ], + [ + 2655349, + 20898271 + ], + [ + 18962064, + 41826857 + ], + [ + 45904829, + 13168071 + ], + [ + 57127739, + 58772242 + ], + [ + 31572568, + 18186061 + ], + [ + 1220478, + 39414634 + ], + [ + 17253655, + 55894519 + ], + [ + 11965150, + 30708050 + ], + [ + 83461397, + 53194320 + ], + [ + 37578795, + 43936200 + ], + [ + 78223213, + 11725308 + ], + [ + 601563, + 1623144 + ], + [ + 86495518, + 35233996 + ], + [ + 4756258, + 87504329 + ], + [ + 89751706, + 32310112 + ], + [ + 15081296, + 22076223 + ], + [ + 59167730, + 74846609 + ], + [ + 75708479, + 21959333 + ], + [ + 40147138, + 99681437 + ], + [ + 29354302, + 59155985 + ], + [ + 23513126, + 15206608 + ], + [ + 11254767, + 17324077 + ], + [ + 75911760, + 92898289 + ], + [ + 62726542, + 50821007 + ], + [ + 2155090, + 83472578 + ], + [ + 23705070, + 72866712 + ], + [ + 30261479, + 19120101 + ], + [ + 24546492, + 29906252 + ], + [ + 55998543, + 22972823 + ], + [ + 49273249, + 71662389 + ], + [ + 59937322, + 64044747 + ], + [ + 81631838, + 10698804 + ], + [ + 84211208, + 3843941 + ], + [ + 27404008, + 61115692 + ], + [ + 29246052, + 87696940 + ], + [ + 7848779, + 51879389 + ], + [ + 98878594, + 94780819 + ], + [ + 80982818, + 96303432 + ], + [ + 79689637, + 62020267 + ], + [ + 29743980, + 49194122 + ], + [ + 47201184, + 46550771 + ], + [ + 21814504, + 99786214 + ], + [ + 18541728, + 90066833 + ], + [ + 61976989, + 45893646 + ], + [ + 19906912, + 50979851 + ], + [ + 41595689, + 18154238 + ], + [ + 70650239, + 48334818 + ], + [ + 89619857, + 12731712 + ], + [ + 17816440, + 6731114 + ], + [ + 95706455, + 11220932 + ], + [ + 50171102, + 83956790 + ], + [ + 96457088, + 40877467 + ], + [ + 84159669, + 6386325 + ], + [ + 27806785, + 96556617 + ], + [ + 28690555, + 84169116 + ], + [ + 83990740, + 23982404 + ], + [ + 83472524, + 83053142 + ], + [ + 88145339, + 81835458 + ], + [ + 4936264, + 58574455 + ], + [ + 69985796, + 13501186 + ], + [ + 40130628, + 50610938 + ], + [ + 83532202, + 89667414 + ], + [ + 85971885, + 15315673 + ], + [ + 13671514, + 47304458 + ], + [ + 58710289, + 35463473 + ], + [ + 22467982, + 84097653 + ], + [ + 56916794, + 65332082 + ], + [ + 69841118, + 84814051 + ], + [ + 26337756, + 15980800 + ], + [ + 26319536, + 54838895 + ], + [ + 8751841, + 23476193 + ], + [ + 41871974, + 25570317 + ], + [ + 41642914, + 28775716 + ], + [ + 79612813, + 38198662 + ], + [ + 67464731, + 94440090 + ], + [ + 12395625, + 80685657 + ], + [ + 38483510, + 21877818 + ], + [ + 13254469, + 31137789 + ], + [ + 85009606, + 51419656 + ], + [ + 80554800, + 73769633 + ], + [ + 43928860, + 94197254 + ], + [ + 31283418, + 34879848 + ], + [ + 58015454, + 72012958 + ], + [ + 49476030, + 67851763 + ], + [ + 41541869, + 55696291 + ], + [ + 29973098, + 71467427 + ], + [ + 45110249, + 76520687 + ], + [ + 43855245, + 59638425 + ], + [ + 29387043, + 69310675 + ], + [ + 93154955, + 92544025 + ], + [ + 43259139, + 28498102 + ], + [ + 35225699, + 42288885 + ], + [ + 78974820, + 69287649 + ], + [ + 32317369, + 1483623 + ], + [ + 12733388, + 43279830 + ], + [ + 79399607, + 21796045 + ], + [ + 83890310, + 1625913 + ], + [ + 25873433, + 4398662 + ], + [ + 54647750, + 93679050 + ], + [ + 31473856, + 14450453 + ], + [ + 76955116, + 71178287 + ], + [ + 80429239, + 85018322 + ], + [ + 36146239, + 26175572 + ], + [ + 22288656, + 36148887 + ], + [ + 95006456, + 40480695 + ], + [ + 78648066, + 59459255 + ], + [ + 57081367, + 44460095 + ], + [ + 63823828, + 30561856 + ], + [ + 42083000, + 62135668 + ], + [ + 43956105, + 8832530 + ], + [ + 55828431, + 97382105 + ], + [ + 61166074, + 3754483 + ], + [ + 69547957, + 61193732 + ], + [ + 20611249, + 84581027 + ], + [ + 58613599, + 71694833 + ], + [ + 62852866, + 81437099 + ], + [ + 80230665, + 5010617 + ], + [ + 12153538, + 72505401 + ], + [ + 11862122, + 12341154 + ], + [ + 50056761, + 97851262 + ], + [ + 53167696, + 75030918 + ], + [ + 51708511, + 38087437 + ], + [ + 21939802, + 57452696 + ], + [ + 53754388, + 81874917 + ], + [ + 57960743, + 274750 + ], + [ + 88188858, + 32071191 + ], + [ + 26376546, + 28946366 + ], + [ + 9985034, + 85833644 + ], + [ + 57975111, + 11354745 + ], + [ + 63311756, + 15144666 + ], + [ + 91532373, + 941054 + ], + [ + 57455415, + 65847588 + ], + [ + 39494601, + 50482676 + ], + [ + 31444411, + 65043547 + ], + [ + 42409721, + 27013292 + ], + [ + 81183596, + 2688437 + ], + [ + 26097441, + 92875910 + ], + [ + 41516657, + 61850753 + ], + [ + 54408059, + 35276839 + ], + [ + 67163217, + 96692453 + ], + [ + 17522159, + 36801761 + ], + [ + 86382632, + 78868845 + ], + [ + 4869088, + 62380627 + ], + [ + 69635106, + 43848864 + ], + [ + 49034302, + 95906115 + ], + [ + 6071618, + 68727621 + ], + [ + 66242241, + 28397335 + ], + [ + 44534404, + 71956357 + ], + [ + 200889, + 4169031 + ], + [ + 46824691, + 58761188 + ], + [ + 67400077, + 14787416 + ], + [ + 8949826, + 81805323 + ], + [ + 17773423, + 81364956 + ], + [ + 72212577, + 98865399 + ], + [ + 19566856, + 26428416 + ], + [ + 12543247, + 51799769 + ], + [ + 84906975, + 87757010 + ], + [ + 82780171, + 14518237 + ], + [ + 70690456, + 34678200 + ], + [ + 33191687, + 28158616 + ], + [ + 26795940, + 42583702 + ], + [ + 87770596, + 66452967 + ], + [ + 80344087, + 92336389 + ], + [ + 23538281, + 71739886 + ], + [ + 12554096, + 57020509 + ], + [ + 90178202, + 21925586 + ], + [ + 96176505, + 24225712 + ], + [ + 62265662, + 57424230 + ], + [ + 51286932, + 24809637 + ], + [ + 31311104, + 24184222 + ], + [ + 83842632, + 45928212 + ], + [ + 46540569, + 63734367 + ], + [ + 74700272, + 43171052 + ], + [ + 92580190, + 59430583 + ], + [ + 19749193, + 94276623 + ], + [ + 91502033, + 28648253 + ], + [ + 58765811, + 22362534 + ], + [ + 4118210, + 72346693 + ], + [ + 89236446, + 30116043 + ], + [ + 59797057, + 9285432 + ], + [ + 37597356, + 22488300 + ], + [ + 30769638, + 41829446 + ], + [ + 79634584, + 56412841 + ], + [ + 14966798, + 61315762 + ], + [ + 83879889, + 61592582 + ], + [ + 24653027, + 89809661 + ], + [ + 23476540, + 78302912 + ], + [ + 6128059, + 13874111 + ], + [ + 54239187, + 98194683 + ], + [ + 7647407, + 26977363 + ], + [ + 81698991, + 12535888 + ], + [ + 54036619, + 74204317 + ], + [ + 23763746, + 42457751 + ], + [ + 46441803, + 51846064 + ], + [ + 26712172, + 87258005 + ], + [ + 22766940, + 8171874 + ], + [ + 95490212, + 60670532 + ], + [ + 64296495, + 82297508 + ], + [ + 79396173, + 47870650 + ], + [ + 80377821, + 21345663 + ], + [ + 99550115, + 81766712 + ], + [ + 77112453, + 14570253 + ], + [ + 10981761, + 42292894 + ], + [ + 95142227, + 46639302 + ], + [ + 19243925, + 47339035 + ], + [ + 65841275, + 11390915 + ], + [ + 10255606, + 3241136 + ], + [ + 69799083, + 75975493 + ], + [ + 85492455, + 32488964 + ], + [ + 28616004, + 78264724 + ], + [ + 81457020, + 76710243 + ], + [ + 34682170, + 39586595 + ], + [ + 10168532, + 38544531 + ], + [ + 96391028, + 84590647 + ], + [ + 3809943, + 23553049 + ], + [ + 50502713, + 3684322 + ], + [ + 63540457, + 24098389 + ], + [ + 59364179, + 28571079 + ], + [ + 83662116, + 65003476 + ], + [ + 42364481, + 19272052 + ], + [ + 33164739, + 31326865 + ], + [ + 24930957, + 32351474 + ], + [ + 66059277, + 63043393 + ], + [ + 66276137, + 29260284 + ], + [ + 36781027, + 85536867 + ], + [ + 55116026, + 2271444 + ], + [ + 49265394, + 33825242 + ], + [ + 50253152, + 23330105 + ], + [ + 1158334, + 56400416 + ], + [ + 93834953, + 30661557 + ], + [ + 789832, + 88956050 + ], + [ + 59975328, + 30226040 + ], + [ + 42181906, + 25473021 + ], + [ + 79387232, + 69713681 + ], + [ + 89123871, + 87753538 + ], + [ + 28809544, + 97148968 + ], + [ + 68197244, + 49828660 + ], + [ + 39737629, + 85804875 + ], + [ + 77121073, + 54796795 + ], + [ + 85423503, + 59920339 + ], + [ + 21378537, + 88618695 + ], + [ + 76396251, + 53409183 + ], + [ + 16838744, + 55902951 + ], + [ + 72307655, + 92231102 + ], + [ + 99215767, + 14473860 + ], + [ + 68941848, + 10741074 + ], + [ + 81233319, + 12308542 + ], + [ + 76192398, + 93707417 + ], + [ + 3451520, + 78995231 + ], + [ + 47123029, + 43529882 + ], + [ + 54455557, + 87001325 + ], + [ + 40135275, + 55266668 + ], + [ + 84231232, + 54609615 + ], + [ + 87673970, + 78890257 + ], + [ + 67458479, + 76468974 + ], + [ + 89634624, + 41722101 + ], + [ + 92832059, + 15502589 + ], + [ + 12117635, + 7079394 + ], + [ + 64151374, + 74899881 + ], + [ + 65419885, + 86854521 + ], + [ + 26147446, + 35759328 + ], + [ + 5015308, + 65552735 + ], + [ + 80772527, + 11175553 + ], + [ + 92440052, + 66626599 + ], + [ + 69235411, + 35677061 + ], + [ + 42261329, + 13889879 + ], + [ + 92596739, + 23152876 + ], + [ + 68837583, + 95194842 + ], + [ + 45217424, + 74974978 + ], + [ + 39216302, + 188231 + ], + [ + 56319222, + 12793599 + ], + [ + 46847142, + 9720740 + ], + [ + 86626007, + 21291473 + ], + [ + 64273114, + 47535775 + ], + [ + 79236497, + 60620999 + ], + [ + 77877349, + 35299041 + ], + [ + 18467608, + 54301945 + ], + [ + 45336947, + 16955421 + ], + [ + 25190156, + 56509459 + ], + [ + 34208961, + 49183011 + ], + [ + 13582564, + 68986757 + ], + [ + 61169170, + 20451450 + ], + [ + 86185683, + 54392209 + ], + [ + 39867331, + 40213350 + ], + [ + 72336601, + 22214215 + ], + [ + 53712418, + 80420557 + ], + [ + 5239574, + 74130422 + ], + [ + 30001119, + 52507982 + ], + [ + 63232300, + 68129086 + ], + [ + 53606680, + 83432881 + ], + [ + 94443930, + 777076 + ], + [ + 42920645, + 70138232 + ], + [ + 71744861, + 7964283 + ], + [ + 88115392, + 83741236 + ], + [ + 63252364, + 69100662 + ], + [ + 98908066, + 35674494 + ], + [ + 56243401, + 71177567 + ], + [ + 97542318, + 80626039 + ], + [ + 58739844, + 60323025 + ], + [ + 7208801, + 95451586 + ], + [ + 3300547, + 89212414 + ], + [ + 14006290, + 6434359 + ], + [ + 78893065, + 91932562 + ], + [ + 54160106, + 32453282 + ], + [ + 84080412, + 83398840 + ], + [ + 78274746, + 66789277 + ], + [ + 2396038, + 69570977 + ], + [ + 87381604, + 57173768 + ], + [ + 99129631, + 48494498 + ], + [ + 5039998, + 89023880 + ], + [ + 15477527, + 68625942 + ], + [ + 36364675, + 24795916 + ], + [ + 20128570, + 89209951 + ], + [ + 72423164, + 84164071 + ], + [ + 65359003, + 58544282 + ], + [ + 93987772, + 77355652 + ], + [ + 8942141, + 21919668 + ], + [ + 67113775, + 75862889 + ], + [ + 75860266, + 41893144 + ], + [ + 9002828, + 67947828 + ], + [ + 89029990, + 86712471 + ], + [ + 48013637, + 36437452 + ], + [ + 71263032, + 72164869 + ], + [ + 67478401, + 5728410 + ], + [ + 10021432, + 73468525 + ], + [ + 35967802, + 84220937 + ], + [ + 66460259, + 74765331 + ], + [ + 22925573, + 38596872 + ], + [ + 11493022, + 75891082 + ], + [ + 45236047, + 82524883 + ], + [ + 57376158, + 50483041 + ], + [ + 17851974, + 25405497 + ], + [ + 11430089, + 65326956 + ], + [ + 47167850, + 58874275 + ], + [ + 53900296, + 90006994 + ], + [ + 26795221, + 55334696 + ], + [ + 85196507, + 37189545 + ], + [ + 22189443, + 82470612 + ], + [ + 54221611, + 16545029 + ], + [ + 83630503, + 56501525 + ], + [ + 42505631, + 11835867 + ], + [ + 13949382, + 63651380 + ], + [ + 64563468, + 11038727 + ], + [ + 55469314, + 78341647 + ], + [ + 92007964, + 58678839 + ], + [ + 5431913, + 11104621 + ], + [ + 42871862, + 1752823 + ], + [ + 75152887, + 2492629 + ], + [ + 84042303, + 71827761 + ], + [ + 35672672, + 85117546 + ], + [ + 43249935, + 74182323 + ], + [ + 21092297, + 57941312 + ], + [ + 90942637, + 92100285 + ], + [ + 28668398, + 71016100 + ], + [ + 27068857, + 19850345 + ], + [ + 64552339, + 33440427 + ], + [ + 44792855, + 94839730 + ], + [ + 53419845, + 28419332 + ], + [ + 12632102, + 18736575 + ], + [ + 34759703, + 50561267 + ], + [ + 72585123, + 77245983 + ], + [ + 65348226, + 26698269 + ], + [ + 41443959, + 14042980 + ], + [ + 70076439, + 2656153 + ], + [ + 84095208, + 63963328 + ], + [ + 79040325, + 34137302 + ], + [ + 24214092, + 91773937 + ], + [ + 1395413, + 32822177 + ], + [ + 8304166, + 45718354 + ], + [ + 76031916, + 90531551 + ], + [ + 55324101, + 20830945 + ], + [ + 54684844, + 92591750 + ], + [ + 66336521, + 48374647 + ], + [ + 10519750, + 21057297 + ], + [ + 27816886, + 49491272 + ], + [ + 16195436, + 97522949 + ], + [ + 32512999, + 15634625 + ], + [ + 76582808, + 96047690 + ], + [ + 99697269, + 50212595 + ], + [ + 390681, + 80207998 + ], + [ + 8746119, + 60195114 + ], + [ + 23963376, + 77738780 + ], + [ + 56206926, + 29611737 + ], + [ + 89141170, + 20098885 + ], + [ + 18450566, + 33972137 + ], + [ + 87809692, + 75601198 + ], + [ + 88851093, + 84718416 + ], + [ + 80520167, + 71812712 + ], + [ + 15905636, + 21635362 + ], + [ + 47455491, + 60075109 + ], + [ + 39379017, + 38073423 + ], + [ + 21789285, + 37417270 + ], + [ + 8971667, + 72753865 + ], + [ + 67737684, + 30271717 + ], + [ + 85048185, + 62116583 + ], + [ + 80263646, + 72148476 + ], + [ + 62409103, + 25763104 + ], + [ + 80759535, + 96093174 + ], + [ + 85095080, + 27579824 + ], + [ + 77308018, + 58262160 + ], + [ + 99709139, + 37060861 + ], + [ + 18663683, + 5628981 + ], + [ + 58995049, + 96093880 + ], + [ + 46556121, + 15149536 + ], + [ + 43359993, + 77891591 + ], + [ + 24561019, + 59570028 + ], + [ + 9256861, + 29293729 + ], + [ + 74526690, + 8940402 + ], + [ + 10087147, + 42364194 + ], + [ + 75037404, + 51871278 + ], + [ + 22098212, + 25180239 + ], + [ + 73173068, + 80119143 + ], + [ + 22768192, + 4136169 + ], + [ + 13596029, + 8802636 + ], + [ + 11125800, + 3861754 + ], + [ + 53857995, + 2160560 + ], + [ + 67005161, + 82560339 + ], + [ + 54467622, + 47537337 + ], + [ + 10998999, + 75798632 + ], + [ + 90202031, + 88854109 + ], + [ + 19495191, + 71465703 + ], + [ + 28049468, + 79755827 + ], + [ + 63037524, + 22047661 + ], + [ + 24833674, + 12004634 + ], + [ + 39201378, + 7065565 + ], + [ + 92416683, + 9646077 + ], + [ + 33660400, + 72559004 + ], + [ + 60262263, + 6365727 + ], + [ + 54035423, + 49322623 + ], + [ + 70835950, + 84745202 + ], + [ + 49052614, + 76512037 + ], + [ + 95247632, + 9431322 + ], + [ + 28870609, + 28252699 + ], + [ + 89027113, + 39819176 + ], + [ + 8700962, + 42700388 + ], + [ + 19155707, + 15399058 + ], + [ + 69854138, + 24504883 + ], + [ + 56186641, + 36607618 + ], + [ + 70818600, + 92510259 + ], + [ + 25282111, + 88048909 + ], + [ + 2408647, + 24155101 + ], + [ + 45634076, + 44805474 + ], + [ + 21762762, + 45238146 + ], + [ + 32812646, + 75211109 + ], + [ + 54036665, + 61283250 + ], + [ + 30414931, + 18066861 + ], + [ + 88705462, + 95992774 + ], + [ + 17760207, + 80324642 + ], + [ + 50995891, + 13359637 + ], + [ + 6707069, + 91170888 + ], + [ + 36302414, + 31706309 + ], + [ + 61583355, + 84863067 + ], + [ + 19322993, + 87782346 + ], + [ + 2790577, + 14703190 + ], + [ + 7232028, + 66945848 + ], + [ + 79690042, + 86098169 + ], + [ + 97741207, + 45822295 + ], + [ + 45383309, + 68255221 + ], + [ + 23196191, + 53615481 + ], + [ + 96794042, + 50520261 + ], + [ + 34434711, + 35466094 + ], + [ + 89672119, + 14007520 + ], + [ + 16819193, + 42718224 + ], + [ + 13356687, + 93287642 + ], + [ + 29102847, + 44863478 + ], + [ + 49018750, + 29889542 + ], + [ + 56957788, + 94450604 + ], + [ + 84027492, + 25534466 + ], + [ + 97019761, + 66756476 + ], + [ + 3495548, + 42433546 + ], + [ + 35176069, + 90700801 + ], + [ + 36803675, + 72493632 + ], + [ + 89838508, + 24885655 + ], + [ + 81721132, + 2702814 + ], + [ + 50645115, + 54460937 + ], + [ + 26029215, + 32149629 + ], + [ + 26709813, + 91748224 + ], + [ + 29848938, + 23747933 + ], + [ + 70362089, + 17921824 + ], + [ + 21037390, + 31303152 + ], + [ + 86552958, + 87327864 + ], + [ + 53790997, + 5780627 + ], + [ + 97662978, + 73869709 + ], + [ + 78724540, + 10680945 + ], + [ + 14234430, + 58910762 + ], + [ + 57060264, + 63518288 + ], + [ + 95108343, + 25668900 + ], + [ + 97463901, + 20348008 + ], + [ + 75399664, + 15741845 + ], + [ + 95035492, + 71200706 + ], + [ + 25965310, + 24016430 + ], + [ + 7876451, + 40882680 + ], + [ + 62365214, + 95158305 + ], + [ + 87242184, + 25157252 + ], + [ + 61142901, + 31466479 + ], + [ + 67381833, + 300786 + ], + [ + 59732482, + 37619471 + ], + [ + 8534077, + 57399340 + ], + [ + 60989026, + 42245405 + ], + [ + 8516281, + 87765432 + ], + [ + 70473918, + 60340687 + ], + [ + 12233673, + 44286258 + ], + [ + 35212038, + 53913141 + ], + [ + 84632536, + 71506687 + ], + [ + 71776367, + 98190412 + ], + [ + 2174360, + 66383884 + ], + [ + 20265359, + 95086206 + ], + [ + 33493604, + 86140901 + ], + [ + 63568107, + 27970644 + ], + [ + 33097235, + 84081994 + ], + [ + 89553803, + 10673592 + ], + [ + 67032142, + 49410380 + ], + [ + 39745975, + 27162908 + ], + [ + 31551158, + 18692974 + ], + [ + 1067271, + 43898456 + ], + [ + 4539229, + 60486631 + ], + [ + 28080445, + 99410710 + ], + [ + 26965083, + 152235 + ], + [ + 8816746, + 77452642 + ], + [ + 28089922, + 48067449 + ], + [ + 51190633, + 87996357 + ], + [ + 54709757, + 78005855 + ], + [ + 32006124, + 31567947 + ], + [ + 72770560, + 74700945 + ], + [ + 60154206, + 48649399 + ], + [ + 90203375, + 51943555 + ], + [ + 87778555, + 67984340 + ], + [ + 44555556, + 80300502 + ], + [ + 97469264, + 7341799 + ], + [ + 83771396, + 64502207 + ], + [ + 25423367, + 63527899 + ], + [ + 82453542, + 97951110 + ], + [ + 93650135, + 72606562 + ], + [ + 63095521, + 2678556 + ], + [ + 11936648, + 29608530 + ], + [ + 32673667, + 86855836 + ], + [ + 85139112, + 66128420 + ], + [ + 40944639, + 72436870 + ], + [ + 53582165, + 24230885 + ], + [ + 40665289, + 91269759 + ], + [ + 79742359, + 52520398 + ], + [ + 95713225, + 45215814 + ], + [ + 5283831, + 67510426 + ], + [ + 5209469, + 3631404 + ], + [ + 46732077, + 85985254 + ], + [ + 73685302, + 74677902 + ], + [ + 83511719, + 94134609 + ], + [ + 33209322, + 17628084 + ], + [ + 93703048, + 59892922 + ], + [ + 40071484, + 59582723 + ], + [ + 22871155, + 95868062 + ], + [ + 46794160, + 66350555 + ], + [ + 67943268, + 59839605 + ], + [ + 78139866, + 78406387 + ], + [ + 69937192, + 97928337 + ], + [ + 61823449, + 95308046 + ], + [ + 82663263, + 85657271 + ], + [ + 99799380, + 14598599 + ], + [ + 85670395, + 17915785 + ], + [ + 3301910, + 77081807 + ], + [ + 30501330, + 49300600 + ], + [ + 58067674, + 1218795 + ], + [ + 97587378, + 42985823 + ], + [ + 90714139, + 13295387 + ], + [ + 27536678, + 60469275 + ], + [ + 87888746, + 34779819 + ], + [ + 71049159, + 607879 + ], + [ + 69079305, + 54679436 + ], + [ + 38288681, + 7557961 + ], + [ + 64620941, + 6133259 + ], + [ + 55373383, + 10445973 + ], + [ + 56642423, + 74320255 + ], + [ + 57947561, + 93538388 + ], + [ + 17526513, + 98088394 + ], + [ + 2161810, + 37233202 + ], + [ + 48100379, + 64958515 + ], + [ + 73784998, + 47813012 + ], + [ + 96128252, + 64698418 + ], + [ + 39698343, + 57830762 + ], + [ + 60767838, + 96077575 + ], + [ + 40838585, + 1164291 + ], + [ + 72759202, + 41131432 + ], + [ + 58081724, + 75014586 + ], + [ + 68031819, + 93154435 + ], + [ + 46371291, + 52610697 + ], + [ + 10999224, + 80610134 + ], + [ + 89879740, + 23270568 + ], + [ + 73990728, + 70191885 + ], + [ + 32492915, + 63694314 + ], + [ + 34699492, + 17238132 + ], + [ + 2634253, + 66378358 + ], + [ + 50211353, + 17972691 + ], + [ + 64200990, + 81367549 + ], + [ + 51673884, + 39084508 + ], + [ + 46020003, + 13613487 + ], + [ + 7640932, + 49751203 + ], + [ + 85211160, + 34881304 + ], + [ + 1668894, + 31738789 + ], + [ + 7353238, + 37459913 + ], + [ + 39195858, + 76759736 + ], + [ + 42713880, + 96422355 + ], + [ + 77911705, + 83835328 + ], + [ + 74914918, + 70565446 + ], + [ + 83993741, + 50955019 + ], + [ + 62078120, + 95036280 + ], + [ + 49328229, + 83801893 + ], + [ + 99273951, + 81991927 + ], + [ + 36562078, + 88995544 + ], + [ + 99390387, + 22321449 + ], + [ + 67272364, + 98803620 + ], + [ + 64172740, + 40109277 + ], + [ + 90521969, + 62649636 + ], + [ + 30080079, + 3689432 + ], + [ + 24970852, + 52929203 + ], + [ + 90041525, + 78394880 + ], + [ + 88143932, + 46971966 + ], + [ + 46727212, + 1198547 + ], + [ + 62908506, + 12248637 + ], + [ + 29572822, + 25588861 + ], + [ + 66069942, + 82149726 + ], + [ + 56636913, + 60546810 + ], + [ + 7206782, + 60475774 + ], + [ + 3753795, + 39834435 + ], + [ + 30752560, + 46375627 + ], + [ + 31556106, + 34574334 + ], + [ + 32618506, + 58820521 + ], + [ + 83240107, + 22084839 + ], + [ + 8211051, + 50457244 + ], + [ + 63807311, + 31655294 + ], + [ + 65434574, + 69588549 + ], + [ + 92101794, + 93217363 + ], + [ + 54112389, + 46867264 + ], + [ + 18461884, + 71825807 + ], + [ + 64701669, + 52673680 + ], + [ + 90088804, + 95914565 + ], + [ + 46340839, + 29706609 + ], + [ + 43512025, + 53393327 + ], + [ + 15771186, + 84671771 + ], + [ + 66019808, + 27539554 + ], + [ + 94179818, + 92732 + ], + [ + 18124394, + 39102326 + ], + [ + 12000101, + 79056810 + ], + [ + 37567401, + 68512752 + ], + [ + 23224373, + 84767746 + ], + [ + 27781768, + 79240419 + ], + [ + 16059604, + 25614990 + ], + [ + 8234849, + 24203381 + ], + [ + 8036462, + 40702980 + ], + [ + 33931058, + 56809219 + ], + [ + 78488130, + 76879793 + ], + [ + 36151808, + 42974990 + ], + [ + 74294664, + 48362437 + ], + [ + 75491171, + 32587077 + ], + [ + 58048149, + 29659286 + ], + [ + 31731378, + 50909643 + ], + [ + 3945838, + 78366357 + ], + [ + 84160879, + 5068391 + ], + [ + 21316555, + 87558835 + ], + [ + 53543401, + 48359318 + ], + [ + 45738672, + 87355295 + ], + [ + 70015330, + 74375838 + ], + [ + 19347477, + 23602041 + ], + [ + 31327466, + 46031425 + ], + [ + 86957759, + 63130721 + ], + [ + 36592963, + 56408701 + ], + [ + 38937773, + 80033683 + ], + [ + 53127897, + 47675470 + ], + [ + 41710036, + 4022104 + ], + [ + 77742388, + 97696913 + ], + [ + 78805443, + 73554271 + ], + [ + 23489513, + 30560013 + ], + [ + 41151050, + 14144399 + ], + [ + 84213464, + 88734806 + ], + [ + 39474558, + 90079299 + ], + [ + 73522730, + 19647021 + ], + [ + 25695240, + 57216868 + ], + [ + 2763617, + 61428798 + ], + [ + 27453203, + 28011128 + ], + [ + 42051814, + 52939106 + ], + [ + 53475643, + 43768033 + ], + [ + 13411660, + 45266272 + ], + [ + 4995581, + 6008397 + ], + [ + 66589864, + 92232488 + ], + [ + 46208384, + 8787194 + ], + [ + 78598121, + 10196940 + ], + [ + 69920323, + 99059674 + ], + [ + 755565, + 94980387 + ], + [ + 61855033, + 71839953 + ], + [ + 42192507, + 69142468 + ], + [ + 76912266, + 20105368 + ], + [ + 54551495, + 7880283 + ], + [ + 69766159, + 85696793 + ], + [ + 72573636, + 28190760 + ], + [ + 59212173, + 47319386 + ], + [ + 9463880, + 75034736 + ], + [ + 46100783, + 59577151 + ], + [ + 31424674, + 8215309 + ], + [ + 56393183, + 35765677 + ], + [ + 25406405, + 71613118 + ], + [ + 40683167, + 28377160 + ], + [ + 59275722, + 46249160 + ], + [ + 74357568, + 86047677 + ], + [ + 66561373, + 4763246 + ], + [ + 82210335, + 59047745 + ], + [ + 35057984, + 98677052 + ], + [ + 64747853, + 61382203 + ], + [ + 4643885, + 8212841 + ], + [ + 81996160, + 86862287 + ], + [ + 91739277, + 4808674 + ], + [ + 19948610, + 7369818 + ], + [ + 37440328, + 49846529 + ], + [ + 23659172, + 14642753 + ], + [ + 67903431, + 79114343 + ], + [ + 86588372, + 99520301 + ], + [ + 94254329, + 74948402 + ], + [ + 36810969, + 22281816 + ], + [ + 32514992, + 3221656 + ], + [ + 59695448, + 8760931 + ], + [ + 32985435, + 83018011 + ], + [ + 2082109, + 6035822 + ], + [ + 30305572, + 3721850 + ], + [ + 19069831, + 87786328 + ], + [ + 83797475, + 62782860 + ], + [ + 95094355, + 14821937 + ], + [ + 54094518, + 89502299 + ], + [ + 25535628, + 42972555 + ], + [ + 73025346, + 63515716 + ], + [ + 14612177, + 76725543 + ], + [ + 65574371, + 25808535 + ], + [ + 48897581, + 11050187 + ], + [ + 77709647, + 1957366 + ], + [ + 7834225, + 41585313 + ], + [ + 11658047, + 2973223 + ], + [ + 76603347, + 88324081 + ], + [ + 74609978, + 63776222 + ], + [ + 44504291, + 39676014 + ], + [ + 32483272, + 61800202 + ], + [ + 8976840, + 10286855 + ], + [ + 43053678, + 92316529 + ], + [ + 65326061, + 70258899 + ], + [ + 73864705, + 22212059 + ], + [ + 2958671, + 25579967 + ], + [ + 32577574, + 21707379 + ], + [ + 93523894, + 25597244 + ], + [ + 18241998, + 85795149 + ], + [ + 53057635, + 25229114 + ], + [ + 82238177, + 2296018 + ], + [ + 33573639, + 79853857 + ], + [ + 96955616, + 48844292 + ], + [ + 8860377, + 48230268 + ], + [ + 84671542, + 15383931 + ], + [ + 86620168, + 43618735 + ], + [ + 52390914, + 55321069 + ], + [ + 33432438, + 81191280 + ], + [ + 13066613, + 29984436 + ], + [ + 787895, + 12136674 + ], + [ + 74018733, + 32708422 + ], + [ + 5832254, + 65052255 + ], + [ + 52865474, + 20396588 + ], + [ + 19194162, + 7068132 + ], + [ + 5721744, + 91667683 + ], + [ + 19113371, + 42086713 + ], + [ + 48961479, + 41092271 + ], + [ + 23943400, + 40071960 + ], + [ + 65225671, + 95544601 + ], + [ + 27507977, + 72445618 + ], + [ + 70388817, + 1657139 + ], + [ + 81135622, + 45435400 + ], + [ + 37995011, + 73766909 + ], + [ + 79872917, + 6015813 + ], + [ + 12580922, + 25561408 + ], + [ + 68615074, + 40730157 + ], + [ + 62340423, + 68360608 + ], + [ + 1139171, + 82004289 + ], + [ + 55566865, + 5585050 + ], + [ + 49942066, + 58115880 + ], + [ + 55853639, + 42956582 + ], + [ + 19462610, + 3701536 + ], + [ + 10782658, + 87516855 + ], + [ + 98689213, + 84493235 + ], + [ + 33269507, + 6949374 + ], + [ + 7421295, + 42778364 + ], + [ + 29870173, + 36870863 + ], + [ + 56347092, + 39664612 + ], + [ + 9133694, + 52970811 + ], + [ + 81510414, + 76206433 + ], + [ + 5708065, + 71754840 + ], + [ + 56475766, + 89126573 + ], + [ + 37004626, + 64541520 + ], + [ + 65636940, + 87486413 + ], + [ + 49886707, + 56146489 + ], + [ + 27011002, + 80288568 + ], + [ + 5463373, + 66990411 + ], + [ + 64636469, + 43770768 + ], + [ + 84613831, + 10560706 + ], + [ + 29371653, + 91063494 + ], + [ + 62225506, + 35199065 + ], + [ + 19615552, + 57076346 + ], + [ + 24546381, + 40238414 + ], + [ + 94725768, + 8539390 + ], + [ + 79368583, + 99576421 + ], + [ + 96796737, + 67912229 + ], + [ + 75917091, + 9106994 + ], + [ + 47772348, + 24803122 + ], + [ + 34335307, + 30326639 + ], + [ + 50890117, + 56495757 + ], + [ + 5162887, + 69284071 + ], + [ + 80383614, + 37569328 + ], + [ + 27823353, + 79847433 + ], + [ + 68074343, + 49039800 + ], + [ + 11181564, + 51232306 + ], + [ + 28636877, + 21546133 + ], + [ + 26659537, + 22902520 + ], + [ + 68682160, + 181170 + ], + [ + 29938463, + 96905713 + ], + [ + 69573898, + 23446261 + ], + [ + 42379564, + 14099419 + ], + [ + 24193361, + 53223808 + ], + [ + 60687852, + 47087330 + ], + [ + 50303448, + 44660038 + ], + [ + 20329279, + 50620319 + ], + [ + 85333087, + 2744033 + ], + [ + 75230162, + 89653590 + ], + [ + 99476236, + 87780085 + ], + [ + 43076929, + 66833885 + ], + [ + 46167963, + 81250662 + ], + [ + 85082934, + 53891883 + ], + [ + 22794226, + 6379099 + ], + [ + 45499346, + 8870159 + ], + [ + 1284917, + 11245345 + ], + [ + 71414232, + 26921866 + ], + [ + 1154502, + 67691501 + ], + [ + 79788413, + 42279153 + ], + [ + 68455451, + 21066105 + ], + [ + 541329, + 21350001 + ], + [ + 77564807, + 53461376 + ], + [ + 19564597, + 53511331 + ], + [ + 22136854, + 19764864 + ], + [ + 24813242, + 61433806 + ], + [ + 15552246, + 63753219 + ], + [ + 29403124, + 11895492 + ], + [ + 71624988, + 78899286 + ], + [ + 83224618, + 34233188 + ], + [ + 73994437, + 71231303 + ], + [ + 77112441, + 23330482 + ], + [ + 52221900, + 63379011 + ], + [ + 5362281, + 12324860 + ], + [ + 39982423, + 83226120 + ], + [ + 93568055, + 89075345 + ], + [ + 55031841, + 71869461 + ], + [ + 33346945, + 34792891 + ], + [ + 90181445, + 41725048 + ], + [ + 5952862, + 8303279 + ], + [ + 27087119, + 53759820 + ], + [ + 33248821, + 82772388 + ], + [ + 14234956, + 49404159 + ], + [ + 69503175, + 57719022 + ], + [ + 38925166, + 41699367 + ], + [ + 62119054, + 35157077 + ], + [ + 65223653, + 68779644 + ], + [ + 77264343, + 36939486 + ], + [ + 90982181, + 84212704 + ], + [ + 49921988, + 12843844 + ], + [ + 74875000, + 37062364 + ], + [ + 51088626, + 77345145 + ], + [ + 29354710, + 61918793 + ], + [ + 69687604, + 97615200 + ], + [ + 60032148, + 88038859 + ], + [ + 75081625, + 25976259 + ], + [ + 48601578, + 24101386 + ], + [ + 41495543, + 35793277 + ], + [ + 82084864, + 12082275 + ], + [ + 29590008, + 51595719 + ], + [ + 18292999, + 19240056 + ], + [ + 24522672, + 95785896 + ], + [ + 24700297, + 39218136 + ], + [ + 94468189, + 25648273 + ], + [ + 24291622, + 87931903 + ], + [ + 25411846, + 79285672 + ], + [ + 84408664, + 9127820 + ], + [ + 45366592, + 74829985 + ], + [ + 61174097, + 30648582 + ], + [ + 42364984, + 55920779 + ], + [ + 8586993, + 59393314 + ], + [ + 10633458, + 98663281 + ], + [ + 11284655, + 92401733 + ], + [ + 51328919, + 19242404 + ], + [ + 90514664, + 71681643 + ], + [ + 10570674, + 25739086 + ], + [ + 70556462, + 84150594 + ], + [ + 41222652, + 25059308 + ], + [ + 76041160, + 7678870 + ], + [ + 67161525, + 67907116 + ], + [ + 43906394, + 36534599 + ], + [ + 75324611, + 29443425 + ], + [ + 42609759, + 36989630 + ], + [ + 98870468, + 11152491 + ], + [ + 9332888, + 80705086 + ], + [ + 76484936, + 75160670 + ], + [ + 82775786, + 47038570 + ], + [ + 20993448, + 72755014 + ], + [ + 5963435, + 96675576 + ], + [ + 97067581, + 36109027 + ], + [ + 74392814, + 52002279 + ], + [ + 15775874, + 57934344 + ], + [ + 17462996, + 69293163 + ], + [ + 21271301, + 72489885 + ], + [ + 56330862, + 69859394 + ], + [ + 71146855, + 5194937 + ], + [ + 80184903, + 84694175 + ], + [ + 53180823, + 47482638 + ], + [ + 34714323, + 22979478 + ], + [ + 23175704, + 99396185 + ], + [ + 5349820, + 12201820 + ], + [ + 43359454, + 34606238 + ], + [ + 36104221, + 19346366 + ], + [ + 68624494, + 51396566 + ], + [ + 16608215, + 40700896 + ], + [ + 68809391, + 66041833 + ], + [ + 86747000, + 82421210 + ], + [ + 56661734, + 82549591 + ], + [ + 52163522, + 6919102 + ], + [ + 52942502, + 555036 + ], + [ + 3681306, + 5226898 + ], + [ + 78602213, + 47348697 + ], + [ + 6912888, + 9419124 + ], + [ + 55483995, + 29531717 + ], + [ + 64771054, + 46224796 + ], + [ + 47595950, + 30641352 + ], + [ + 14669609, + 95572047 + ], + [ + 69888974, + 92563942 + ], + [ + 46587623, + 50304018 + ], + [ + 73276119, + 37282518 + ], + [ + 47787308, + 43352365 + ], + [ + 95927221, + 41952486 + ], + [ + 60897818, + 41083336 + ], + [ + 3411985, + 88090968 + ], + [ + 17720925, + 75285676 + ], + [ + 74178100, + 13848098 + ], + [ + 16956005, + 93719809 + ], + [ + 17546856, + 27751029 + ], + [ + 30155916, + 5655254 + ], + [ + 987851, + 3707118 + ], + [ + 12584462, + 13000299 + ], + [ + 73276066, + 2833534 + ], + [ + 2877209, + 38910088 + ], + [ + 65580423, + 67515631 + ], + [ + 74692649, + 18570217 + ], + [ + 20717361, + 72782034 + ], + [ + 77788085, + 20263325 + ], + [ + 6893995, + 6263185 + ], + [ + 81065596, + 60670886 + ], + [ + 61950642, + 73591190 + ], + [ + 99772933, + 19016979 + ], + [ + 72326792, + 42787409 + ], + [ + 80659453, + 64781153 + ], + [ + 43618764, + 28498030 + ], + [ + 81733752, + 46484843 + ], + [ + 51813626, + 41482000 + ], + [ + 56781849, + 67104502 + ], + [ + 86229395, + 77292016 + ], + [ + 71654531, + 27504202 + ], + [ + 49283365, + 43677254 + ], + [ + 48793801, + 71776128 + ], + [ + 86495245, + 54336865 + ], + [ + 9230803, + 84646201 + ], + [ + 95162519, + 25193049 + ], + [ + 33948182, + 75890660 + ], + [ + 10309569, + 13630191 + ], + [ + 29674779, + 10630625 + ], + [ + 99425968, + 33418334 + ], + [ + 62154328, + 55224168 + ], + [ + 65928720, + 23031079 + ], + [ + 84354234, + 13503430 + ], + [ + 78821255, + 46758557 + ], + [ + 9705871, + 14541286 + ], + [ + 23918547, + 71652534 + ], + [ + 65806017, + 2624567 + ], + [ + 4140368, + 51676311 + ], + [ + 20187735, + 19358902 + ], + [ + 44716852, + 25576859 + ], + [ + 87449643, + 32180057 + ], + [ + 23654921, + 36704689 + ], + [ + 85289633, + 28671655 + ], + [ + 59826154, + 86441129 + ], + [ + 90401550, + 72507725 + ], + [ + 93766544, + 81381700 + ], + [ + 69718632, + 17676723 + ], + [ + 88601389, + 60549753 + ], + [ + 2264965, + 96612303 + ], + [ + 65097294, + 62188678 + ], + [ + 47539645, + 70867484 + ], + [ + 85756094, + 58981456 + ], + [ + 43176222, + 85441788 + ], + [ + 24105399, + 10912981 + ], + [ + 92278399, + 57073538 + ], + [ + 47816789, + 16521250 + ], + [ + 21712613, + 7390642 + ], + [ + 42600363, + 9725665 + ], + [ + 5199428, + 36979023 + ], + [ + 55198448, + 11766975 + ], + [ + 5346796, + 2130629 + ], + [ + 73326851, + 48465714 + ], + [ + 95632256, + 32534848 + ], + [ + 89207996, + 50613619 + ], + [ + 82372506, + 51442238 + ], + [ + 58739456, + 54827957 + ], + [ + 44941305, + 5609229 + ], + [ + 48780620, + 62806776 + ], + [ + 4460126, + 72202217 + ], + [ + 51280423, + 5268084 + ], + [ + 88582157, + 79097915 + ], + [ + 6595214, + 83400774 + ], + [ + 58277237, + 29884271 + ], + [ + 12831492, + 28541145 + ], + [ + 17532942, + 34813550 + ], + [ + 58456128, + 75768097 + ], + [ + 84342863, + 736694 + ], + [ + 53697627, + 62473705 + ], + [ + 7102504, + 1936647 + ], + [ + 85886780, + 91206562 + ], + [ + 99819938, + 67315227 + ], + [ + 50485413, + 63834995 + ], + [ + 91693408, + 33733454 + ], + [ + 98859402, + 18630734 + ], + [ + 25931837, + 57284257 + ], + [ + 58659002, + 78919086 + ], + [ + 6013098, + 77752021 + ], + [ + 80659299, + 92553380 + ], + [ + 96562008, + 40565274 + ], + [ + 62833281, + 35956173 + ], + [ + 33463277, + 81422691 + ], + [ + 53090103, + 23572631 + ], + [ + 1842402, + 20239127 + ], + [ + 17533656, + 40632279 + ], + [ + 8837252, + 9352648 + ], + [ + 6637778, + 11278503 + ], + [ + 91628633, + 18337334 + ], + [ + 18123936, + 60763773 + ], + [ + 81872720, + 68272232 + ], + [ + 21042684, + 87757237 + ], + [ + 17720353, + 97810599 + ], + [ + 49187357, + 99263995 + ], + [ + 47441307, + 30487811 + ], + [ + 48682403, + 16133491 + ], + [ + 50959281, + 10983657 + ], + [ + 1414121, + 100242 + ], + [ + 57543930, + 50258829 + ], + [ + 80281109, + 66648590 + ], + [ + 20727989, + 58904257 + ], + [ + 15051977, + 61120475 + ], + [ + 44626524, + 6310480 + ], + [ + 766780, + 51194935 + ], + [ + 10421896, + 57063647 + ], + [ + 75670734, + 14568556 + ], + [ + 72208416, + 27804104 + ], + [ + 20494084, + 85746440 + ], + [ + 16977684, + 54776729 + ], + [ + 97215430, + 94850623 + ], + [ + 52429355, + 47107981 + ], + [ + 37460858, + 33850933 + ], + [ + 40103530, + 10824652 + ], + [ + 75899368, + 50458948 + ], + [ + 18476895, + 62370850 + ], + [ + 36319189, + 69522572 + ], + [ + 62243898, + 76125382 + ], + [ + 81709115, + 34803351 + ], + [ + 12026728, + 41947425 + ], + [ + 72343965, + 80203150 + ], + [ + 80530998, + 95055801 + ], + [ + 34843561, + 71194933 + ], + [ + 89639909, + 86128816 + ], + [ + 66384572, + 38985153 + ], + [ + 35654669, + 96309381 + ], + [ + 82015128, + 4097994 + ], + [ + 93536369, + 34952329 + ], + [ + 21917745, + 32116358 + ], + [ + 73215610, + 53035589 + ], + [ + 64521544, + 86657582 + ], + [ + 75890726, + 32554418 + ], + [ + 21627186, + 90288674 + ], + [ + 24986220, + 77459986 + ], + [ + 49617811, + 76494613 + ], + [ + 905224, + 35250797 + ], + [ + 84389470, + 93736144 + ], + [ + 85887164, + 8281445 + ], + [ + 26374018, + 21584329 + ], + [ + 48882850, + 34380804 + ], + [ + 4018474, + 43214899 + ], + [ + 21981798, + 89619871 + ], + [ + 73992734, + 35081331 + ], + [ + 18321416, + 19516226 + ], + [ + 83810260, + 58045050 + ], + [ + 30251548, + 87283463 + ], + [ + 23877464, + 88364275 + ], + [ + 44735494, + 44059922 + ], + [ + 33974136, + 40467713 + ], + [ + 2025518, + 43506007 + ], + [ + 7999943, + 62496439 + ], + [ + 96520363, + 59762127 + ], + [ + 77054571, + 12191255 + ], + [ + 40436441, + 89572193 + ], + [ + 65373555, + 95346545 + ], + [ + 36113589, + 11022030 + ], + [ + 70370524, + 80304956 + ], + [ + 18799274, + 73243159 + ], + [ + 9886652, + 13543863 + ], + [ + 16286675, + 21112639 + ], + [ + 94228611, + 70271764 + ], + [ + 42062363, + 63866414 + ], + [ + 219790, + 67841226 + ], + [ + 90586091, + 79978219 + ], + [ + 50941875, + 9811742 + ], + [ + 57670906, + 64831901 + ], + [ + 49167556, + 33426787 + ], + [ + 60450766, + 51681248 + ], + [ + 65326679, + 46350980 + ], + [ + 37154874, + 45389376 + ], + [ + 23322327, + 62277472 + ], + [ + 50413012, + 36880625 + ], + [ + 68688995, + 20488503 + ], + [ + 36785847, + 37562850 + ], + [ + 62599790, + 358669 + ], + [ + 65637368, + 7142987 + ], + [ + 81146644, + 37513264 + ], + [ + 52511849, + 24978982 + ], + [ + 31660680, + 82660961 + ], + [ + 99557583, + 39474802 + ], + [ + 15894229, + 93436885 + ], + [ + 63292331, + 64784294 + ], + [ + 22567647, + 69414662 + ], + [ + 75376487, + 23499262 + ], + [ + 11384932, + 92799597 + ], + [ + 99535273, + 25387584 + ], + [ + 71344074, + 33876461 + ], + [ + 29390499, + 61675581 + ], + [ + 47158724, + 90639069 + ], + [ + 50763820, + 77814174 + ], + [ + 49163834, + 38143978 + ], + [ + 14531561, + 76543187 + ], + [ + 78196073, + 92521602 + ], + [ + 82677775, + 15456367 + ], + [ + 79733534, + 20271457 + ], + [ + 99564017, + 46043703 + ], + [ + 33029571, + 22790543 + ], + [ + 24814392, + 92845387 + ], + [ + 38791514, + 13770077 + ], + [ + 3173245, + 13739376 + ], + [ + 50793911, + 35561650 + ], + [ + 10952111, + 32934131 + ], + [ + 60374473, + 156756 + ], + [ + 97847891, + 54744390 + ], + [ + 52550275, + 24193379 + ], + [ + 72002801, + 25679385 + ], + [ + 23343463, + 18489091 + ], + [ + 40678143, + 15249796 + ], + [ + 53321587, + 93107748 + ], + [ + 32823199, + 6997753 + ], + [ + 65686103, + 91122374 + ], + [ + 60652378, + 40789962 + ], + [ + 14692048, + 34259755 + ], + [ + 85062688, + 96545834 + ], + [ + 8301497, + 81497773 + ], + [ + 72392561, + 29576534 + ], + [ + 33577840, + 49476436 + ], + [ + 96667558, + 45646386 + ], + [ + 88973863, + 98441424 + ], + [ + 79769850, + 72016027 + ], + [ + 24040247, + 14072252 + ], + [ + 33007435, + 5874260 + ], + [ + 62417080, + 71551600 + ], + [ + 28210647, + 94961561 + ], + [ + 17617151, + 45820971 + ], + [ + 22668032, + 74554489 + ], + [ + 60165162, + 1929854 + ], + [ + 43187071, + 20846219 + ], + [ + 88851618, + 73187395 + ], + [ + 97261372, + 67574675 + ], + [ + 31482917, + 94724582 + ], + [ + 50168809, + 94165390 + ], + [ + 74967862, + 6860863 + ], + [ + 42436276, + 71452268 + ], + [ + 25427420, + 8083695 + ], + [ + 18584582, + 56789253 + ], + [ + 10001985, + 97102243 + ], + [ + 97167377, + 98083713 + ], + [ + 45744448, + 54430024 + ], + [ + 11037612, + 56690130 + ], + [ + 80716814, + 45910584 + ], + [ + 43663324, + 86319579 + ], + [ + 88108355, + 11849960 + ], + [ + 48457786, + 67627152 + ], + [ + 29734845, + 79765060 + ], + [ + 54204784, + 78403023 + ], + [ + 60167191, + 72653504 + ], + [ + 36578275, + 56675851 + ], + [ + 61236106, + 38612168 + ], + [ + 20166273, + 46242134 + ], + [ + 86915999, + 56384212 + ], + [ + 13104203, + 33484932 + ], + [ + 37102041, + 48409738 + ], + [ + 41089739, + 84040496 + ], + [ + 30645769, + 40837308 + ], + [ + 80247612, + 26782380 + ], + [ + 79584917, + 76318520 + ], + [ + 4145538, + 64566083 + ], + [ + 56024057, + 96525222 + ], + [ + 76688356, + 52663975 + ], + [ + 8317880, + 88709782 + ], + [ + 97242223, + 27479093 + ], + [ + 78290466, + 96393567 + ], + [ + 98046896, + 2861654 + ], + [ + 26089551, + 7754574 + ], + [ + 42009590, + 55632111 + ], + [ + 94386273, + 81610274 + ], + [ + 68093167, + 73610193 + ], + [ + 70981980, + 96739644 + ], + [ + 56014975, + 7614127 + ], + [ + 45342190, + 55891900 + ], + [ + 65847383, + 24661547 + ], + [ + 46650976, + 24961850 + ], + [ + 31306454, + 47615627 + ], + [ + 48312222, + 18305124 + ], + [ + 15929344, + 9777925 + ], + [ + 82777399, + 92304793 + ], + [ + 66852549, + 96671750 + ], + [ + 44341590, + 77996279 + ], + [ + 74388546, + 55814503 + ], + [ + 37640313, + 44634636 + ], + [ + 33454199, + 5403341 + ], + [ + 12964239, + 83462716 + ], + [ + 46236627, + 50161855 + ], + [ + 32917778, + 44845643 + ], + [ + 8191451, + 43529334 + ], + [ + 31959275, + 52347352 + ], + [ + 7025441, + 89317327 + ], + [ + 35704654, + 69500900 + ], + [ + 1661697, + 60135365 + ], + [ + 12724763, + 64051692 + ], + [ + 43603048, + 36632663 + ], + [ + 94609374, + 67411359 + ], + [ + 91327209, + 6240400 + ], + [ + 33815954, + 61795045 + ], + [ + 46375455, + 70042026 + ], + [ + 89169945, + 8876753 + ], + [ + 97174843, + 16359367 + ], + [ + 35889150, + 79928687 + ], + [ + 23938270, + 50471960 + ], + [ + 62293934, + 31767661 + ], + [ + 39340346, + 93512141 + ], + [ + 91929135, + 69869467 + ], + [ + 47061224, + 66055764 + ], + [ + 25362363, + 90889654 + ], + [ + 69136934, + 14904528 + ], + [ + 27537654, + 25804686 + ], + [ + 30321104, + 6494484 + ], + [ + 28042647, + 29216227 + ], + [ + 89522630, + 51336126 + ], + [ + 15056713, + 18212946 + ], + [ + 99224116, + 63412679 + ], + [ + 9139418, + 90200683 + ], + [ + 12896469, + 22646501 + ], + [ + 68247045, + 27425584 + ], + [ + 19813335, + 74285294 + ], + [ + 59171837, + 37632278 + ], + [ + 10465825, + 28681294 + ], + [ + 76491346, + 59595540 + ], + [ + 1461141, + 67295708 + ], + [ + 17622591, + 66948761 + ], + [ + 76872665, + 72449662 + ], + [ + 44120585, + 23060511 + ], + [ + 6941327, + 76642249 + ], + [ + 15738602, + 68760375 + ], + [ + 31267873, + 7295143 + ], + [ + 50017990, + 74766555 + ], + [ + 97189507, + 94625397 + ], + [ + 80232507, + 75667696 + ], + [ + 28195403, + 43335656 + ], + [ + 16731651, + 19032198 + ], + [ + 70795394, + 18700683 + ], + [ + 15061044, + 13701282 + ], + [ + 38665281, + 17082205 + ], + [ + 25794389, + 42580281 + ], + [ + 78936928, + 99224051 + ], + [ + 43634487, + 11474371 + ], + [ + 4906703, + 69700858 + ], + [ + 72900555, + 97403227 + ], + [ + 45388556, + 41179963 + ], + [ + 56454162, + 26309062 + ], + [ + 48156111, + 6869034 + ], + [ + 87237994, + 10403316 + ], + [ + 12097864, + 87695117 + ], + [ + 17301479, + 81124230 + ], + [ + 82935565, + 30949476 + ], + [ + 42084505, + 5127660 + ], + [ + 38222155, + 93087430 + ], + [ + 72430539, + 50763403 + ], + [ + 41026657, + 30829276 + ], + [ + 83550107, + 79350681 + ], + [ + 26980588, + 64218258 + ], + [ + 3056115, + 55462330 + ], + [ + 57470426, + 2030133 + ], + [ + 25704582, + 94563005 + ], + [ + 23557211, + 16321514 + ], + [ + 93855389, + 69600358 + ], + [ + 7451650, + 31030613 + ], + [ + 3605731, + 57749785 + ], + [ + 95383891, + 45579807 + ], + [ + 31290474, + 13839404 + ], + [ + 79718694, + 20718924 + ], + [ + 46381039, + 46120744 + ], + [ + 28281618, + 75992920 + ], + [ + 64239896, + 22966125 + ], + [ + 77440527, + 79703576 + ], + [ + 15587390, + 56946248 + ], + [ + 33793528, + 92453721 + ], + [ + 12798406, + 30191842 + ], + [ + 67980045, + 89601377 + ], + [ + 26171511, + 49808907 + ], + [ + 648314, + 92980569 + ], + [ + 85853157, + 70273154 + ], + [ + 84538757, + 45290535 + ], + [ + 43504969, + 82899706 + ], + [ + 92469399, + 50017574 + ], + [ + 91070082, + 68612103 + ], + [ + 54712339, + 74495915 + ], + [ + 94198543, + 49366618 + ], + [ + 99133816, + 53853189 + ], + [ + 80581571, + 69191290 + ], + [ + 72373835, + 71902964 + ], + [ + 95929974, + 19856032 + ], + [ + 16673075, + 76355757 + ], + [ + 40857371, + 34120508 + ], + [ + 68175126, + 7312205 + ], + [ + 84975714, + 15927291 + ], + [ + 61233688, + 98926214 + ], + [ + 19654248, + 49874402 + ], + [ + 75249649, + 28297651 + ], + [ + 59391869, + 24181065 + ], + [ + 88509762, + 14070623 + ], + [ + 57585883, + 62018692 + ], + [ + 55771383, + 12149110 + ], + [ + 44799687, + 57960807 + ], + [ + 37005310, + 58392124 + ], + [ + 50894043, + 10026975 + ], + [ + 77473269, + 68603612 + ], + [ + 91908637, + 44268774 + ], + [ + 3409853, + 62000383 + ], + [ + 6443921, + 76012136 + ], + [ + 87150984, + 59807773 + ], + [ + 71319715, + 96983014 + ], + [ + 48336403, + 45897273 + ], + [ + 97214288, + 43053505 + ], + [ + 61293920, + 88669268 + ], + [ + 52983726, + 35656417 + ], + [ + 74324878, + 69044074 + ], + [ + 79115052, + 64146211 + ], + [ + 87864227, + 67992191 + ], + [ + 53060965, + 27033503 + ], + [ + 57656361, + 94430964 + ], + [ + 23634037, + 43119697 + ], + [ + 33079517, + 28714757 + ], + [ + 37517850, + 53170629 + ], + [ + 98611364, + 59665744 + ], + [ + 19703812, + 88431745 + ], + [ + 10363618, + 61209152 + ], + [ + 91489687, + 51892961 + ], + [ + 72834028, + 21867781 + ], + [ + 84015821, + 83607757 + ], + [ + 45018545, + 2092461 + ], + [ + 13423559, + 10591608 + ], + [ + 80013932, + 19565825 + ], + [ + 88965040, + 27157192 + ], + [ + 13363239, + 66238779 + ], + [ + 78686998, + 77702447 + ], + [ + 23686375, + 34206815 + ], + [ + 81236157, + 14545522 + ], + [ + 14733424, + 50605555 + ], + [ + 14686411, + 63701763 + ], + [ + 89684369, + 1226255 + ], + [ + 81320468, + 56855595 + ], + [ + 56871589, + 78543993 + ], + [ + 32672455, + 78214246 + ], + [ + 98038108, + 32692999 + ], + [ + 10086662, + 84906167 + ], + [ + 25018015, + 3091629 + ], + [ + 92757999, + 81484909 + ], + [ + 39416348, + 2113737 + ], + [ + 15020106, + 31425195 + ], + [ + 87274804, + 30358078 + ], + [ + 55192219, + 11229673 + ], + [ + 63528099, + 99170048 + ], + [ + 93303503, + 29906568 + ], + [ + 13779426, + 86155338 + ], + [ + 3025766, + 79954366 + ], + [ + 70053387, + 90208508 + ], + [ + 31153218, + 52794652 + ], + [ + 55364289, + 65953605 + ], + [ + 73379383, + 74579316 + ], + [ + 98432945, + 59065881 + ], + [ + 58135742, + 3203973 + ], + [ + 31117326, + 41102610 + ], + [ + 61245400, + 57972433 + ], + [ + 91088496, + 37334964 + ], + [ + 82511061, + 20426498 + ], + [ + 12115156, + 19926542 + ], + [ + 10059206, + 19139648 + ], + [ + 52582243, + 3028102 + ], + [ + 12659278, + 13048585 + ], + [ + 15457695, + 97602652 + ], + [ + 25210476, + 86196674 + ], + [ + 94406944, + 88170042 + ], + [ + 25872370, + 25147336 + ], + [ + 69402812, + 44120771 + ], + [ + 47580689, + 77073735 + ], + [ + 70837884, + 35185777 + ], + [ + 59733483, + 13783175 + ], + [ + 69130206, + 76956637 + ], + [ + 1906759, + 91901825 + ], + [ + 55066896, + 41128693 + ], + [ + 29348910, + 32602590 + ], + [ + 29020104, + 71074353 + ], + [ + 44790848, + 52935237 + ], + [ + 90713965, + 47157526 + ], + [ + 57019721, + 60179341 + ], + [ + 8708479, + 76992761 + ], + [ + 77744515, + 13097694 + ], + [ + 40756477, + 24920209 + ], + [ + 83155098, + 55127415 + ], + [ + 41210018, + 48875819 + ], + [ + 52013028, + 50247215 + ], + [ + 49764099, + 34838268 + ], + [ + 42516754, + 30156349 + ], + [ + 81200536, + 94187751 + ], + [ + 17646330, + 84846207 + ], + [ + 8591388, + 89530940 + ], + [ + 14278782, + 71337089 + ], + [ + 41951659, + 25109250 + ], + [ + 77212965, + 45285688 + ], + [ + 59632353, + 54782726 + ], + [ + 52051589, + 98248163 + ], + [ + 48845181, + 37241432 + ], + [ + 786639, + 42891899 + ], + [ + 6145334, + 20901123 + ], + [ + 84236460, + 41454089 + ], + [ + 29366102, + 31972477 + ], + [ + 30834300, + 79481516 + ], + [ + 43478562, + 83869699 + ], + [ + 93873484, + 37064970 + ], + [ + 32893685, + 25792696 + ], + [ + 53467770, + 3551337 + ], + [ + 57126422, + 70747432 + ], + [ + 64653022, + 43225933 + ], + [ + 46907801, + 56757520 + ], + [ + 23442860, + 20249411 + ], + [ + 30135763, + 5985537 + ], + [ + 37358948, + 33324908 + ], + [ + 70824898, + 51216118 + ], + [ + 75984048, + 53881868 + ], + [ + 61836865, + 32568472 + ], + [ + 32426641, + 87700254 + ], + [ + 84513250, + 77447496 + ], + [ + 5631569, + 26951826 + ], + [ + 36736221, + 95224928 + ], + [ + 5395779, + 71560718 + ], + [ + 96228293, + 16594669 + ], + [ + 91182628, + 55201699 + ], + [ + 15979394, + 20598874 + ], + [ + 26711565, + 70868706 + ], + [ + 2924870, + 10513172 + ], + [ + 27947265, + 30552885 + ], + [ + 77638004, + 65022787 + ], + [ + 1302478, + 21049285 + ], + [ + 75788238, + 16633442 + ], + [ + 15921131, + 22587826 + ], + [ + 78865179, + 2397607 + ], + [ + 96210150, + 63926796 + ], + [ + 54679388, + 72803625 + ], + [ + 37285129, + 19296305 + ], + [ + 7968166, + 89449521 + ], + [ + 72983792, + 10897033 + ], + [ + 39222033, + 71282023 + ], + [ + 22016204, + 40171261 + ], + [ + 65705417, + 7281411 + ], + [ + 5417816, + 69903405 + ], + [ + 87854583, + 60039774 + ], + [ + 1961543, + 53734098 + ], + [ + 10147129, + 11038867 + ], + [ + 64097933, + 20679395 + ], + [ + 50175555, + 56590908 + ], + [ + 48807273, + 92384375 + ], + [ + 51268253, + 18176853 + ], + [ + 61361653, + 49664160 + ], + [ + 34636835, + 42149502 + ], + [ + 11471357, + 41608440 + ], + [ + 99625515, + 57186045 + ], + [ + 73067767, + 10667598 + ], + [ + 50047494, + 77758694 + ], + [ + 89294842, + 28024532 + ], + [ + 49829784, + 86556901 + ], + [ + 54993757, + 85824121 + ], + [ + 79146003, + 80509017 + ], + [ + 23561026, + 49003659 + ], + [ + 6475127, + 56489011 + ], + [ + 84789451, + 33709889 + ], + [ + 62919202, + 15248339 + ], + [ + 83524106, + 90289694 + ], + [ + 39538627, + 92289026 + ], + [ + 91105957, + 75645425 + ], + [ + 27092709, + 96066348 + ], + [ + 34841684, + 86941903 + ], + [ + 60574023, + 53301881 + ], + [ + 50564737, + 30543040 + ], + [ + 15742731, + 15646645 + ], + [ + 95272723, + 80436644 + ], + [ + 70738222, + 17411422 + ], + [ + 47540234, + 54201748 + ], + [ + 76851590, + 16910604 + ], + [ + 31710509, + 68907209 + ], + [ + 44364710, + 24563238 + ], + [ + 14278286, + 90287966 + ], + [ + 77462308, + 72709466 + ], + [ + 72011427, + 59990842 + ], + [ + 66320239, + 48439065 + ], + [ + 40914637, + 89797004 + ], + [ + 87321108, + 23415437 + ], + [ + 5823762, + 79534529 + ], + [ + 69014693, + 42259917 + ], + [ + 19722443, + 60712724 + ], + [ + 80886772, + 61352256 + ], + [ + 90256205, + 71037532 + ], + [ + 21746972, + 46827404 + ], + [ + 57370565, + 9615379 + ], + [ + 19207191, + 97007606 + ], + [ + 12705717, + 3336238 + ], + [ + 84749022, + 63614359 + ], + [ + 36798318, + 17678057 + ], + [ + 72722613, + 70889722 + ], + [ + 90020088, + 77899456 + ], + [ + 94892920, + 56073789 + ], + [ + 29326806, + 90410154 + ], + [ + 60948125, + 36643248 + ], + [ + 24746116, + 89971903 + ], + [ + 88077549, + 33232082 + ], + [ + 28573682, + 75989353 + ], + [ + 12339154, + 5723326 + ], + [ + 6794609, + 6966213 + ], + [ + 87696337, + 20122264 + ], + [ + 22698028, + 91896117 + ], + [ + 33672324, + 3729631 + ], + [ + 12413770, + 21809582 + ], + [ + 21033385, + 67624375 + ], + [ + 48699054, + 81180679 + ], + [ + 94134936, + 59425927 + ], + [ + 22497499, + 8854990 + ], + [ + 9380873, + 804426 + ], + [ + 82422134, + 67215511 + ], + [ + 46442988, + 25116887 + ], + [ + 13789297, + 53472372 + ], + [ + 84007290, + 48703641 + ], + [ + 14927958, + 88259018 + ], + [ + 46932010, + 69904924 + ], + [ + 16262205, + 61423026 + ], + [ + 99807645, + 50618284 + ], + [ + 36219019, + 13013929 + ], + [ + 20517822, + 33853036 + ], + [ + 27176301, + 18901853 + ], + [ + 98661695, + 85261234 + ], + [ + 27249834, + 90353253 + ], + [ + 93891599, + 52731578 + ], + [ + 33672174, + 9311332 + ], + [ + 2661074, + 8115665 + ], + [ + 27611689, + 32496520 + ], + [ + 13324954, + 24537311 + ], + [ + 78823828, + 81575575 + ], + [ + 88465827, + 22922421 + ], + [ + 91299542, + 22735818 + ], + [ + 91747741, + 58851664 + ], + [ + 28743916, + 33412403 + ], + [ + 51178148, + 50557813 + ], + [ + 16502057, + 18002434 + ], + [ + 42254431, + 40841588 + ], + [ + 41708948, + 55788629 + ], + [ + 57737557, + 9590727 + ], + [ + 15509452, + 59433585 + ], + [ + 25094424, + 46278234 + ], + [ + 1608758, + 66098019 + ], + [ + 16570038, + 85947633 + ], + [ + 14833980, + 78351525 + ], + [ + 33658305, + 65520432 + ], + [ + 70568979, + 59914158 + ], + [ + 50859686, + 51452781 + ], + [ + 20908053, + 9811835 + ], + [ + 38543270, + 50956989 + ], + [ + 31213679, + 43563956 + ], + [ + 18693067, + 30515675 + ], + [ + 21065388, + 9410742 + ], + [ + 7027843, + 3289777 + ], + [ + 67799938, + 57990141 + ], + [ + 13543718, + 49977778 + ], + [ + 39762102, + 30117355 + ], + [ + 1695506, + 40985004 + ], + [ + 61239997, + 98057995 + ], + [ + 2409537, + 69282804 + ], + [ + 5653153, + 40566623 + ], + [ + 43559579, + 98145494 + ], + [ + 55657435, + 86668253 + ], + [ + 21367724, + 70047532 + ], + [ + 87963189, + 11055727 + ], + [ + 99246467, + 55622041 + ], + [ + 1996314, + 56270004 + ], + [ + 38776177, + 45500808 + ], + [ + 90510261, + 73821374 + ], + [ + 86241269, + 4074548 + ], + [ + 57820812, + 26505326 + ], + [ + 74897042, + 95703132 + ], + [ + 48590820, + 82630986 + ], + [ + 26089325, + 78313668 + ], + [ + 62800746, + 57644337 + ], + [ + 96978180, + 10668878 + ], + [ + 82201270, + 55713930 + ], + [ + 48867899, + 13781486 + ], + [ + 56601592, + 51819318 + ], + [ + 30072684, + 84780181 + ], + [ + 17154176, + 56027623 + ], + [ + 21517080, + 85386856 + ], + [ + 24734316, + 89197617 + ], + [ + 96325556, + 34963195 + ], + [ + 35211881, + 35609615 + ], + [ + 46374707, + 37310799 + ], + [ + 23021808, + 39080850 + ], + [ + 82927863, + 11585436 + ], + [ + 98134234, + 84746247 + ], + [ + 83837449, + 61697390 + ], + [ + 46076497, + 11499183 + ], + [ + 82138933, + 85035373 + ], + [ + 65998329, + 93219160 + ], + [ + 20148369, + 97248586 + ], + [ + 52281774, + 37783068 + ], + [ + 42740045, + 68059315 + ], + [ + 40607419, + 45607853 + ], + [ + 95693114, + 83760836 + ], + [ + 15462363, + 75955170 + ], + [ + 5671126, + 77004171 + ], + [ + 60716789, + 2657799 + ], + [ + 70290245, + 47440331 + ], + [ + 60534288, + 63952559 + ], + [ + 8951817, + 89714282 + ], + [ + 11816483, + 22751350 + ], + [ + 71340491, + 11506248 + ], + [ + 1792745, + 4190460 + ], + [ + 80017225, + 25586625 + ], + [ + 85876377, + 54401624 + ], + [ + 57119374, + 55705175 + ], + [ + 90789938, + 2524848 + ], + [ + 89406011, + 66220901 + ], + [ + 54470127, + 70749873 + ], + [ + 13612496, + 485573 + ], + [ + 29552845, + 26567981 + ], + [ + 44489170, + 38141750 + ], + [ + 97486762, + 41165613 + ], + [ + 40537812, + 73309446 + ], + [ + 93778785, + 87186539 + ], + [ + 94509670, + 7371387 + ], + [ + 76060052, + 67102268 + ], + [ + 61778320, + 60706568 + ], + [ + 49849518, + 87586937 + ], + [ + 66374950, + 62438307 + ], + [ + 6544264, + 73551704 + ], + [ + 38203144, + 98220414 + ], + [ + 69474944, + 58381031 + ], + [ + 56873393, + 52645855 + ], + [ + 51740990, + 6524579 + ], + [ + 30726076, + 78882651 + ], + [ + 36872040, + 90632661 + ], + [ + 85745765, + 2217688 + ], + [ + 62972929, + 77279675 + ], + [ + 97502529, + 5995784 + ], + [ + 57425744, + 18792500 + ], + [ + 28078044, + 59328058 + ], + [ + 73217669, + 24320364 + ], + [ + 78440000, + 50211476 + ], + [ + 87905848, + 63170303 + ], + [ + 37044751, + 15726050 + ], + [ + 25499064, + 23963585 + ], + [ + 23211800, + 97205702 + ], + [ + 1948479, + 71292323 + ], + [ + 96566888, + 90411238 + ], + [ + 96178419, + 15305776 + ], + [ + 9303822, + 73749136 + ], + [ + 76756668, + 97738919 + ], + [ + 58729924, + 39686727 + ], + [ + 58587176, + 97854328 + ], + [ + 28013645, + 74268423 + ], + [ + 50191618, + 2359689 + ], + [ + 97198091, + 98773309 + ], + [ + 11477822, + 85507651 + ], + [ + 54877243, + 49921410 + ], + [ + 70778416, + 46827566 + ], + [ + 77577533, + 44467374 + ], + [ + 53184903, + 76289161 + ], + [ + 25863706, + 80615151 + ], + [ + 35050892, + 64404276 + ], + [ + 52911896, + 67379694 + ], + [ + 31243880, + 61345593 + ], + [ + 43616443, + 72484571 + ], + [ + 46610310, + 97914996 + ], + [ + 87752215, + 17317852 + ], + [ + 64615990, + 30089208 + ], + [ + 35177523, + 97840369 + ], + [ + 70220480, + 75941012 + ], + [ + 26170279, + 40980520 + ], + [ + 21254897, + 77547717 + ], + [ + 72719927, + 45595246 + ], + [ + 33482465, + 84016607 + ], + [ + 57824885, + 45945318 + ], + [ + 12743051, + 56552526 + ], + [ + 21196195, + 51839114 + ], + [ + 8260151, + 55675924 + ], + [ + 16134592, + 62919543 + ], + [ + 70251666, + 28247349 + ], + [ + 69018365, + 45581309 + ], + [ + 81745164, + 58193932 + ], + [ + 72132690, + 66483925 + ], + [ + 29326164, + 58931358 + ], + [ + 43725282, + 51483479 + ], + [ + 92766456, + 20783123 + ], + [ + 65603942, + 90338891 + ], + [ + 90736656, + 45074025 + ], + [ + 55493219, + 28692606 + ], + [ + 61011480, + 96963172 + ], + [ + 44484343, + 26914731 + ], + [ + 51454657, + 38187839 + ], + [ + 84852169, + 99638895 + ], + [ + 27692470, + 87852407 + ], + [ + 54547546, + 17882465 + ], + [ + 72494457, + 71434327 + ], + [ + 96053149, + 32191827 + ], + [ + 73182999, + 27193550 + ], + [ + 15976375, + 46754580 + ], + [ + 58716176, + 68351254 + ], + [ + 38726547, + 62951997 + ], + [ + 14594773, + 72040726 + ], + [ + 30975539, + 91586187 + ], + [ + 73647182, + 14995650 + ], + [ + 66740388, + 99615751 + ], + [ + 33929648, + 55374518 + ], + [ + 95426767, + 42269772 + ], + [ + 6158716, + 83183964 + ], + [ + 26283116, + 71115014 + ], + [ + 31555748, + 25321138 + ], + [ + 6016849, + 79359500 + ], + [ + 85128214, + 12798376 + ], + [ + 70398773, + 91930966 + ], + [ + 99477214, + 56414920 + ], + [ + 56749983, + 82521791 + ], + [ + 26392529, + 41122934 + ], + [ + 35557927, + 55530267 + ], + [ + 92746321, + 22735176 + ], + [ + 15007000, + 15548339 + ], + [ + 18985791, + 80377574 + ], + [ + 85427394, + 56966503 + ], + [ + 93530551, + 54982200 + ], + [ + 46709669, + 27887893 + ], + [ + 60003574, + 46334949 + ], + [ + 7579031, + 43687978 + ], + [ + 76362705, + 1688300 + ], + [ + 76442770, + 32873416 + ], + [ + 25687614, + 57462169 + ], + [ + 4611801, + 87245726 + ], + [ + 94737129, + 57525772 + ], + [ + 63438236, + 85897638 + ], + [ + 75763363, + 69990354 + ], + [ + 62200585, + 3733837 + ], + [ + 27598323, + 81115567 + ], + [ + 38903737, + 93622424 + ], + [ + 95056011, + 11273085 + ], + [ + 37782182, + 85981553 + ], + [ + 87908010, + 52346327 + ], + [ + 72802180, + 18290440 + ], + [ + 88143784, + 84177062 + ], + [ + 11914852, + 78243384 + ], + [ + 77521285, + 47078445 + ], + [ + 81324911, + 3365287 + ], + [ + 25432816, + 81816553 + ], + [ + 57630591, + 94323183 + ], + [ + 66668790, + 57498164 + ], + [ + 28541583, + 59187596 + ], + [ + 67434683, + 29690880 + ], + [ + 61539409, + 75759559 + ], + [ + 74511289, + 79618112 + ], + [ + 66137339, + 79737653 + ], + [ + 82314686, + 45620636 + ], + [ + 86002238, + 89103799 + ], + [ + 47494449, + 29089839 + ], + [ + 82303745, + 65202673 + ], + [ + 36057400, + 10470946 + ], + [ + 30603885, + 42130560 + ], + [ + 56182803, + 75077512 + ], + [ + 89886499, + 89861794 + ], + [ + 53270518, + 56082645 + ], + [ + 71889310, + 76295531 + ], + [ + 45718148, + 4260671 + ], + [ + 66213451, + 28391860 + ], + [ + 3941261, + 20761977 + ], + [ + 65416581, + 33215940 + ], + [ + 76963157, + 23255611 + ], + [ + 3318156, + 25100138 + ], + [ + 16585389, + 86046287 + ], + [ + 38127935, + 44836070 + ], + [ + 93384881, + 40297459 + ], + [ + 41918180, + 91640212 + ], + [ + 65707309, + 80462103 + ], + [ + 63291595, + 71311381 + ], + [ + 98599475, + 94624404 + ], + [ + 45067890, + 34362978 + ], + [ + 31162526, + 26845969 + ], + [ + 82042942, + 40502182 + ], + [ + 24035094, + 44754263 + ], + [ + 46900539, + 4042888 + ], + [ + 54861862, + 61991143 + ], + [ + 21986836, + 88673293 + ], + [ + 73412811, + 6273025 + ], + [ + 94373587, + 37457266 + ], + [ + 25470246, + 23548692 + ], + [ + 90645230, + 41848166 + ], + [ + 49625640, + 88111584 + ], + [ + 71561389, + 86498909 + ], + [ + 99896138, + 93865307 + ], + [ + 44076059, + 77575642 + ], + [ + 5846323, + 53742377 + ], + [ + 54636460, + 19165674 + ], + [ + 198501, + 9421144 + ], + [ + 59782254, + 83999882 + ], + [ + 45343947, + 84924016 + ], + [ + 16325938, + 25864740 + ], + [ + 72869291, + 41099717 + ], + [ + 63716607, + 92414744 + ], + [ + 26804778, + 90217332 + ], + [ + 99211041, + 12632961 + ], + [ + 30504609, + 92513181 + ], + [ + 787093, + 25748221 + ], + [ + 32542497, + 77427671 + ], + [ + 74659482, + 12316811 + ], + [ + 52672559, + 73596145 + ], + [ + 59232225, + 26169145 + ], + [ + 52141439, + 2267006 + ], + [ + 54662454, + 32390658 + ], + [ + 94355081, + 25709388 + ], + [ + 83409657, + 92596624 + ], + [ + 33820118, + 24932128 + ], + [ + 73110707, + 5534601 + ], + [ + 48443557, + 42601892 + ], + [ + 98832133, + 87415318 + ], + [ + 30672857, + 20157695 + ], + [ + 40448989, + 72443556 + ], + [ + 84907660, + 35576785 + ], + [ + 98634325, + 17830565 + ], + [ + 89610865, + 83361004 + ], + [ + 37727189, + 51640554 + ], + [ + 571551, + 50245306 + ], + [ + 68997886, + 70095497 + ], + [ + 26087110, + 73132188 + ], + [ + 92857400, + 4781903 + ], + [ + 75730571, + 47351779 + ], + [ + 75969843, + 87464219 + ], + [ + 35426925, + 47582498 + ], + [ + 88804774, + 74350692 + ], + [ + 23132702, + 81148682 + ], + [ + 42014199, + 40849707 + ], + [ + 68034558, + 69338921 + ], + [ + 48097000, + 13666282 + ], + [ + 23543985, + 10076034 + ], + [ + 48810278, + 10834407 + ], + [ + 36747283, + 82051870 + ], + [ + 69099353, + 15259822 + ], + [ + 22426735, + 50197695 + ], + [ + 6464772, + 66453701 + ], + [ + 25796709, + 18195616 + ], + [ + 84701252, + 32582967 + ], + [ + 50548077, + 32278980 + ], + [ + 47707295, + 1748969 + ], + [ + 99719988, + 86715042 + ], + [ + 29705198, + 5203534 + ], + [ + 78242089, + 55421727 + ], + [ + 96967005, + 18737786 + ], + [ + 44777183, + 75546493 + ], + [ + 72369912, + 47283250 + ], + [ + 69833407, + 14124678 + ], + [ + 77398567, + 12662545 + ], + [ + 73996085, + 55454482 + ], + [ + 39345777, + 84284536 + ], + [ + 49184927, + 93246528 + ], + [ + 63907712, + 98967839 + ], + [ + 1893259, + 31378010 + ], + [ + 82068848, + 19970994 + ], + [ + 99378288, + 33193247 + ], + [ + 10374646, + 62860859 + ], + [ + 92887570, + 37151760 + ], + [ + 24512234, + 86928512 + ], + [ + 82806318, + 37018546 + ], + [ + 80744142, + 96001385 + ], + [ + 1178719, + 61131312 + ], + [ + 4475101, + 13976470 + ], + [ + 8541790, + 83133819 + ], + [ + 84222924, + 67467033 + ], + [ + 31264349, + 55260448 + ], + [ + 26703069, + 28808983 + ], + [ + 1528759, + 26881015 + ], + [ + 97533099, + 69366524 + ], + [ + 95908150, + 6268875 + ], + [ + 7508622, + 56497594 + ], + [ + 55198281, + 81700411 + ], + [ + 34348290, + 9557990 + ], + [ + 83247159, + 85012265 + ], + [ + 12507552, + 58260001 + ], + [ + 71013804, + 92777450 + ], + [ + 39953602, + 45939905 + ], + [ + 40264122, + 7491911 + ], + [ + 43165111, + 36779674 + ], + [ + 61394900, + 37748386 + ], + [ + 46394431, + 95688627 + ], + [ + 3347515, + 71614047 + ], + [ + 28998992, + 43952369 + ], + [ + 71857170, + 53258770 + ], + [ + 15203517, + 40022925 + ], + [ + 71305759, + 4052725 + ], + [ + 53971974, + 81304756 + ], + [ + 29115938, + 36893877 + ], + [ + 55069019, + 92609554 + ], + [ + 97088501, + 53251952 + ], + [ + 53454304, + 94711604 + ], + [ + 89979075, + 25612646 + ], + [ + 44538849, + 34407383 + ], + [ + 85352847, + 38035045 + ], + [ + 3615497, + 57527607 + ], + [ + 88293067, + 62363391 + ], + [ + 97278090, + 18068043 + ], + [ + 88781966, + 99859916 + ], + [ + 44024533, + 70023140 + ], + [ + 88660241, + 8658946 + ], + [ + 19165582, + 70037604 + ], + [ + 60091030, + 99404423 + ], + [ + 41395036, + 87817530 + ], + [ + 62474888, + 27458331 + ], + [ + 87176876, + 85159679 + ], + [ + 27676879, + 72288032 + ], + [ + 91032944, + 88689324 + ], + [ + 977784, + 30112953 + ], + [ + 87148314, + 89268890 + ], + [ + 3175370, + 97852144 + ], + [ + 9971812, + 59181627 + ], + [ + 50985418, + 59888102 + ], + [ + 13368579, + 22987386 + ], + [ + 17753781, + 57753221 + ], + [ + 47851675, + 9916939 + ], + [ + 16277028, + 133348 + ], + [ + 80910251, + 77237149 + ], + [ + 16491617, + 59026801 + ], + [ + 19832426, + 83351681 + ], + [ + 29270711, + 48809306 + ], + [ + 98918151, + 25388623 + ], + [ + 49426750, + 99725815 + ], + [ + 97816580, + 95529340 + ], + [ + 76411812, + 10985866 + ], + [ + 81365206, + 49428028 + ], + [ + 32776010, + 74321568 + ], + [ + 66750357, + 39971825 + ], + [ + 56916271, + 33218598 + ], + [ + 81766569, + 98539928 + ], + [ + 42937795, + 56887112 + ], + [ + 31807097, + 66027854 + ], + [ + 55318267, + 91665373 + ], + [ + 77641087, + 91728427 + ], + [ + 81138299, + 33451390 + ], + [ + 93991456, + 70316345 + ], + [ + 86194612, + 53626262 + ], + [ + 47311066, + 59601730 + ], + [ + 28482611, + 98432553 + ], + [ + 51669493, + 93854872 + ], + [ + 87583010, + 42541096 + ], + [ + 55982350, + 16031713 + ], + [ + 21352637, + 29824895 + ], + [ + 82408369, + 88771134 + ], + [ + 32992558, + 98449835 + ], + [ + 23226312, + 67085350 + ], + [ + 24284370, + 6456042 + ], + [ + 31605303, + 81052574 + ], + [ + 78997269, + 20002474 + ], + [ + 7469493, + 91364036 + ], + [ + 45600973, + 74547240 + ], + [ + 7627781, + 10646720 + ], + [ + 97920919, + 23593221 + ], + [ + 124297, + 21870589 + ], + [ + 13689497, + 24671701 + ], + [ + 27682913, + 27361264 + ], + [ + 76006608, + 10943261 + ], + [ + 71407359, + 64529891 + ], + [ + 8818848, + 18336518 + ], + [ + 93645522, + 69953009 + ], + [ + 18762980, + 22222602 + ], + [ + 46154832, + 67521805 + ], + [ + 55195220, + 70067065 + ], + [ + 50370241, + 4719274 + ], + [ + 82856569, + 65822249 + ], + [ + 19131640, + 17297601 + ], + [ + 54787954, + 34565977 + ], + [ + 67890403, + 54664073 + ], + [ + 36595529, + 44777937 + ], + [ + 97175658, + 36539607 + ], + [ + 31727676, + 55953667 + ], + [ + 29667729, + 3475990 + ], + [ + 31531614, + 33959047 + ], + [ + 94279240, + 33809609 + ], + [ + 40125310, + 18304053 + ], + [ + 51266130, + 60161074 + ], + [ + 28413871, + 56644635 + ], + [ + 11658908, + 56858798 + ], + [ + 71895675, + 61081633 + ], + [ + 75962752, + 50501103 + ], + [ + 64194757, + 74734837 + ], + [ + 52948216, + 8971992 + ], + [ + 16334167, + 70202123 + ], + [ + 24499814, + 50990292 + ], + [ + 70962824, + 3665359 + ], + [ + 57046706, + 57891255 + ], + [ + 81031065, + 15788045 + ], + [ + 10872240, + 83066278 + ], + [ + 19579518, + 64387836 + ], + [ + 43140524, + 18656902 + ], + [ + 80174114, + 72212184 + ], + [ + 52576303, + 56096558 + ], + [ + 34260119, + 88551112 + ], + [ + 49992032, + 77013199 + ], + [ + 81233480, + 54806511 + ], + [ + 75308907, + 76214319 + ], + [ + 51923528, + 89649555 + ], + [ + 58294822, + 84163274 + ], + [ + 25253644, + 72462957 + ], + [ + 37874680, + 94748308 + ], + [ + 48210201, + 33729866 + ], + [ + 21634748, + 65442663 + ], + [ + 31380239, + 75164417 + ], + [ + 46677955, + 11818958 + ], + [ + 34126428, + 69220156 + ], + [ + 23682860, + 99937988 + ], + [ + 5787431, + 21338724 + ], + [ + 90257004, + 58475838 + ], + [ + 39920790, + 48083489 + ], + [ + 71320518, + 66072615 + ], + [ + 66497088, + 26384608 + ], + [ + 65379720, + 84171326 + ], + [ + 33211464, + 45232928 + ], + [ + 79051050, + 17558412 + ], + [ + 15566991, + 71924944 + ], + [ + 53854949, + 39389868 + ], + [ + 69924141, + 8194576 + ], + [ + 80862173, + 99230899 + ], + [ + 44971450, + 97661911 + ], + [ + 36564271, + 77353271 + ], + [ + 40909735, + 17460060 + ], + [ + 69351139, + 53681250 + ], + [ + 78847142, + 24265339 + ], + [ + 23380555, + 49881020 + ], + [ + 2410582, + 19735408 + ], + [ + 59505982, + 48630063 + ], + [ + 24911706, + 80614965 + ], + [ + 66079610, + 53682379 + ], + [ + 35182101, + 3797829 + ], + [ + 8211705, + 51074815 + ], + [ + 4967656, + 14370848 + ], + [ + 63362237, + 13882171 + ], + [ + 92970945, + 94810225 + ], + [ + 21976172, + 53323534 + ], + [ + 35047923, + 20493779 + ], + [ + 6260754, + 37684061 + ], + [ + 92472034, + 77363515 + ], + [ + 99287396, + 56540704 + ], + [ + 78765483, + 45023436 + ], + [ + 73330624, + 25542371 + ], + [ + 55735740, + 62786060 + ], + [ + 96007585, + 69283021 + ], + [ + 1838710, + 89802992 + ], + [ + 92240753, + 70612900 + ], + [ + 12892839, + 77456250 + ], + [ + 20730861, + 39098839 + ], + [ + 36278768, + 82036482 + ], + [ + 83959003, + 73909146 + ], + [ + 10159847, + 16437244 + ], + [ + 34355791, + 24144044 + ], + [ + 96891036, + 49135841 + ], + [ + 464171, + 93367547 + ], + [ + 61173544, + 57089251 + ], + [ + 3858548, + 83590861 + ], + [ + 10032298, + 56920157 + ], + [ + 78340596, + 18082918 + ], + [ + 39560228, + 47855313 + ], + [ + 78285848, + 34915551 + ], + [ + 54656527, + 531253 + ], + [ + 36838590, + 46792105 + ], + [ + 92070935, + 68654275 + ], + [ + 11524910, + 70040784 + ], + [ + 36173870, + 51293083 + ], + [ + 21695411, + 92930939 + ], + [ + 26142720, + 49605528 + ], + [ + 29863711, + 72547455 + ], + [ + 97110805, + 23401456 + ], + [ + 67275851, + 78184692 + ], + [ + 83775026, + 36907975 + ], + [ + 10553347, + 3037944 + ], + [ + 38008822, + 18464150 + ], + [ + 24415074, + 36499289 + ], + [ + 2193461, + 5055453 + ], + [ + 94376134, + 50837903 + ], + [ + 75333080, + 8355467 + ], + [ + 1909490, + 26550827 + ], + [ + 74885780, + 78782609 + ], + [ + 39620127, + 48876589 + ], + [ + 88447627, + 20840908 + ], + [ + 10831616, + 36594903 + ], + [ + 45638369, + 76502806 + ], + [ + 95425621, + 18819419 + ], + [ + 76523928, + 96142458 + ], + [ + 34975012, + 5213176 + ], + [ + 28949819, + 94532083 + ], + [ + 80561973, + 45254891 + ], + [ + 96629871, + 33063885 + ], + [ + 93070157, + 76093348 + ], + [ + 18390285, + 52665634 + ], + [ + 43426445, + 64167086 + ], + [ + 28342094, + 67881634 + ], + [ + 41217082, + 37376246 + ], + [ + 65388055, + 81507533 + ], + [ + 86867531, + 24768517 + ], + [ + 85147839, + 14346803 + ], + [ + 8216460, + 27940090 + ], + [ + 54115027, + 40146657 + ], + [ + 30481122, + 57514269 + ], + [ + 47890429, + 38674079 + ], + [ + 43323980, + 71450604 + ], + [ + 40655366, + 91398048 + ], + [ + 108632, + 18177067 + ], + [ + 75327211, + 41723408 + ], + [ + 24090000, + 67801858 + ], + [ + 78941038, + 2534017 + ], + [ + 61500483, + 68003168 + ], + [ + 75276960, + 71921021 + ], + [ + 17752672, + 86599767 + ], + [ + 16558825, + 78312283 + ], + [ + 21935467, + 53535286 + ], + [ + 24209492, + 75940910 + ], + [ + 4736712, + 57253133 + ], + [ + 78695587, + 40944412 + ], + [ + 79240690, + 36787588 + ], + [ + 12983247, + 25597054 + ], + [ + 97803736, + 82339452 + ], + [ + 56253935, + 74832730 + ], + [ + 80628993, + 72956204 + ], + [ + 2353799, + 18867820 + ], + [ + 15579945, + 44150290 + ], + [ + 33502152, + 231947 + ], + [ + 56915574, + 44875767 + ], + [ + 52779185, + 26009328 + ], + [ + 78667124, + 92599402 + ], + [ + 17838702, + 61165114 + ], + [ + 8538644, + 50943947 + ], + [ + 67252103, + 88865239 + ], + [ + 23784064, + 820582 + ], + [ + 65906050, + 1041951 + ], + [ + 20880419, + 78103226 + ], + [ + 48178517, + 47947091 + ], + [ + 42255065, + 66213193 + ], + [ + 29867280, + 68774679 + ], + [ + 41355655, + 79270695 + ], + [ + 66164190, + 679800 + ], + [ + 47302196, + 14654520 + ], + [ + 84617718, + 86782547 + ], + [ + 52040408, + 20845582 + ], + [ + 44090826, + 61809877 + ], + [ + 68058688, + 15933597 + ], + [ + 72502027, + 9912653 + ], + [ + 95552881, + 55622050 + ], + [ + 43622697, + 58718107 + ], + [ + 11850995, + 22465823 + ], + [ + 12390595, + 52011639 + ], + [ + 72664816, + 42137504 + ], + [ + 39113315, + 4729324 + ], + [ + 2403012, + 24791026 + ], + [ + 17162623, + 51959395 + ], + [ + 27859206, + 86168094 + ], + [ + 96859321, + 1649391 + ], + [ + 46935701, + 84608016 + ], + [ + 66547469, + 48245299 + ], + [ + 3661278, + 41104751 + ], + [ + 52539190, + 64739281 + ], + [ + 50472794, + 66932524 + ], + [ + 26579177, + 90032786 + ], + [ + 19024144, + 58363428 + ], + [ + 48134667, + 74156198 + ], + [ + 16577223, + 54744765 + ], + [ + 70107379, + 54117779 + ], + [ + 95812191, + 84949297 + ], + [ + 98129972, + 56828014 + ], + [ + 83948369, + 93691071 + ], + [ + 70902593, + 29749877 + ], + [ + 27269368, + 2783706 + ], + [ + 21633632, + 20224466 + ], + [ + 72175693, + 12766942 + ], + [ + 17225802, + 81853062 + ], + [ + 11828346, + 67973441 + ], + [ + 3720134, + 29173804 + ], + [ + 77386994, + 595999 + ], + [ + 6616119, + 74870572 + ], + [ + 50471126, + 19016099 + ], + [ + 91370060, + 53341980 + ], + [ + 2946799, + 64242531 + ], + [ + 53166809, + 18610011 + ], + [ + 28450554, + 20526205 + ], + [ + 16096022, + 73653622 + ], + [ + 6865258, + 99214152 + ], + [ + 19675286, + 74127257 + ], + [ + 99644268, + 85928769 + ], + [ + 58902890, + 27061223 + ], + [ + 36885755, + 62723140 + ], + [ + 57766036, + 82448829 + ], + [ + 40258137, + 4240944 + ], + [ + 58844010, + 74436137 + ], + [ + 16072310, + 46733977 + ], + [ + 53241467, + 13976231 + ], + [ + 20802051, + 57871273 + ], + [ + 98716668, + 95611195 + ], + [ + 9561901, + 12625079 + ], + [ + 96033241, + 19343508 + ], + [ + 79627305, + 69048822 + ], + [ + 57969485, + 29841261 + ], + [ + 59038444, + 17475635 + ], + [ + 74214514, + 73116750 + ], + [ + 49378843, + 12993966 + ], + [ + 14077920, + 30344497 + ], + [ + 14107519, + 41723782 + ], + [ + 90828648, + 8160347 + ], + [ + 24878089, + 80604375 + ], + [ + 20693079, + 78713762 + ], + [ + 40523622, + 66484612 + ], + [ + 68393676, + 45622066 + ], + [ + 62062559, + 27165971 + ], + [ + 78378985, + 92889495 + ], + [ + 98134753, + 25915125 + ], + [ + 66344801, + 88584713 + ], + [ + 83937449, + 21799668 + ], + [ + 84141125, + 77267604 + ], + [ + 4751815, + 73712578 + ], + [ + 63141439, + 85007047 + ], + [ + 80436226, + 57292330 + ], + [ + 43579998, + 94904401 + ], + [ + 77719553, + 91222752 + ], + [ + 38453958, + 2182202 + ], + [ + 9749366, + 28471212 + ], + [ + 64661863, + 8342592 + ], + [ + 30007847, + 49865742 + ], + [ + 84021860, + 66924085 + ], + [ + 39082141, + 79320679 + ], + [ + 33198683, + 86859765 + ], + [ + 67301874, + 43348311 + ], + [ + 64457990, + 20514051 + ], + [ + 11511998, + 95994086 + ], + [ + 11248598, + 35909812 + ], + [ + 89816401, + 96059798 + ], + [ + 77452945, + 20177695 + ], + [ + 22403862, + 82150928 + ], + [ + 41225007, + 49453107 + ], + [ + 69475422, + 26088567 + ], + [ + 30819587, + 56086264 + ], + [ + 93273130, + 92877436 + ], + [ + 3819669, + 32934931 + ], + [ + 89292577, + 23152007 + ], + [ + 42995945, + 89575952 + ], + [ + 63666369, + 13143358 + ], + [ + 28807458, + 76352916 + ], + [ + 5219892, + 19959783 + ], + [ + 42489643, + 17231246 + ], + [ + 26830180, + 15808781 + ], + [ + 61193634, + 10773294 + ], + [ + 97821030, + 45493948 + ], + [ + 65604234, + 29968614 + ], + [ + 82127737, + 51028239 + ], + [ + 64420519, + 37527437 + ], + [ + 85550411, + 40891563 + ], + [ + 50133134, + 45316352 + ], + [ + 35487284, + 31745977 + ], + [ + 51697303, + 58832567 + ], + [ + 873694, + 21138424 + ], + [ + 8843226, + 68108779 + ], + [ + 95415807, + 5525660 + ], + [ + 76207752, + 40936842 + ], + [ + 48473290, + 94055449 + ], + [ + 76235764, + 13339979 + ], + [ + 56976865, + 92858187 + ], + [ + 66120293, + 28878553 + ], + [ + 14436332, + 38783932 + ], + [ + 17759579, + 89066590 + ], + [ + 36109496, + 48226417 + ], + [ + 81387474, + 39299280 + ], + [ + 78961137, + 63999083 + ], + [ + 3970873, + 24857254 + ], + [ + 93396330, + 27281180 + ], + [ + 41115376, + 49301062 + ], + [ + 2345249, + 16985326 + ], + [ + 1798810, + 52950002 + ], + [ + 35156944, + 37504630 + ], + [ + 3049298, + 27127561 + ], + [ + 79391932, + 29472548 + ], + [ + 18872585, + 90430949 + ], + [ + 21949911, + 71886601 + ], + [ + 37256848, + 17340757 + ], + [ + 10161981, + 22616052 + ], + [ + 22759851, + 79734616 + ], + [ + 82448059, + 19967672 + ], + [ + 59749248, + 94515395 + ], + [ + 885505, + 31483304 + ], + [ + 21000332, + 5714355 + ], + [ + 56628825, + 57737204 + ], + [ + 61336481, + 15636131 + ], + [ + 23998469, + 20554527 + ], + [ + 50253612, + 68656773 + ], + [ + 87980883, + 47004507 + ], + [ + 71877306, + 12988208 + ], + [ + 45889692, + 18311394 + ], + [ + 80597623, + 40803768 + ], + [ + 4034809, + 39190597 + ], + [ + 68092312, + 56446539 + ], + [ + 21605226, + 42228934 + ], + [ + 17816120, + 83868323 + ], + [ + 45169559, + 99737699 + ], + [ + 3005855, + 81744957 + ], + [ + 87159625, + 64103758 + ], + [ + 34319005, + 25694404 + ], + [ + 74242007, + 36461791 + ], + [ + 29501128, + 89949144 + ], + [ + 72113380, + 23009272 + ], + [ + 30721828, + 38599263 + ], + [ + 79386047, + 202303 + ], + [ + 35244635, + 83399467 + ], + [ + 54580163, + 37414844 + ], + [ + 51527038, + 17666928 + ], + [ + 53542105, + 40484207 + ], + [ + 45809205, + 69471576 + ], + [ + 49330282, + 72061545 + ], + [ + 42640492, + 39426437 + ], + [ + 93754496, + 82171566 + ], + [ + 6085835, + 35943047 + ], + [ + 5700016, + 10740497 + ], + [ + 13576119, + 11777109 + ], + [ + 51513141, + 46063237 + ], + [ + 97411878, + 64092169 + ], + [ + 33941081, + 39114163 + ], + [ + 20899259, + 53409991 + ], + [ + 53413534, + 87132796 + ], + [ + 43703923, + 73276850 + ], + [ + 13669247, + 68760872 + ], + [ + 50946470, + 28044981 + ], + [ + 90398516, + 64163257 + ], + [ + 41967032, + 29466287 + ], + [ + 49665958, + 9217408 + ], + [ + 22617859, + 84481860 + ], + [ + 57661093, + 98993672 + ], + [ + 99928110, + 69404345 + ], + [ + 1202287, + 63158621 + ], + [ + 19854492, + 82886098 + ], + [ + 75616152, + 48065166 + ], + [ + 67805637, + 98250888 + ], + [ + 91159867, + 6598148 + ], + [ + 67797088, + 18026381 + ], + [ + 34649259, + 76793171 + ], + [ + 85134818, + 94976011 + ], + [ + 97906755, + 57950102 + ], + [ + 73160133, + 17058647 + ], + [ + 5423946, + 45935433 + ], + [ + 96522668, + 82432100 + ], + [ + 62507959, + 50322372 + ], + [ + 4646639, + 69260405 + ], + [ + 33688669, + 44296900 + ], + [ + 47296852, + 58621051 + ], + [ + 19076957, + 88336687 + ], + [ + 25681055, + 91537258 + ], + [ + 97610428, + 49380196 + ], + [ + 84681687, + 68757741 + ], + [ + 61050967, + 37382609 + ], + [ + 49842261, + 67934469 + ], + [ + 22260109, + 37591384 + ], + [ + 35157325, + 33309029 + ], + [ + 93186119, + 56552069 + ], + [ + 21177604, + 85984041 + ], + [ + 45025452, + 38681239 + ], + [ + 63219288, + 94117134 + ], + [ + 47440824, + 60911249 + ], + [ + 60983744, + 82358495 + ], + [ + 89111022, + 32740893 + ], + [ + 27807227, + 39225570 + ], + [ + 97943583, + 62802968 + ], + [ + 90865771, + 20728055 + ], + [ + 29635690, + 5524903 + ], + [ + 46411801, + 28158696 + ], + [ + 13480666, + 15854870 + ], + [ + 25952669, + 9204735 + ], + [ + 63148486, + 2565380 + ], + [ + 6987643, + 19465235 + ], + [ + 4528992, + 76559763 + ], + [ + 64422053, + 45889097 + ], + [ + 98484028, + 94185928 + ], + [ + 28685845, + 88492420 + ], + [ + 20635260, + 71328022 + ], + [ + 45606425, + 51621085 + ], + [ + 82782499, + 60529416 + ], + [ + 16925065, + 18587783 + ], + [ + 13033443, + 22907770 + ], + [ + 71702356, + 23793582 + ], + [ + 10448689, + 26423274 + ], + [ + 58216093, + 95828807 + ], + [ + 662057, + 1981573 + ], + [ + 88145839, + 52372097 + ], + [ + 14142937, + 79728019 + ], + [ + 52010727, + 19126603 + ], + [ + 2183958, + 92741386 + ], + [ + 88754485, + 10560098 + ], + [ + 62594528, + 4848895 + ], + [ + 33157665, + 42729618 + ], + [ + 80454267, + 25318545 + ], + [ + 63558050, + 35376217 + ], + [ + 98608258, + 91416589 + ], + [ + 29553564, + 31512399 + ], + [ + 19712872, + 90971890 + ], + [ + 87156835, + 11282184 + ], + [ + 58366656, + 26157906 + ], + [ + 75880833, + 24620536 + ], + [ + 36631178, + 95885636 + ], + [ + 78461258, + 95315410 + ], + [ + 67193749, + 74935236 + ], + [ + 10720986, + 77348247 + ], + [ + 70232926, + 28887353 + ], + [ + 28592429, + 74365136 + ], + [ + 10751666, + 97898636 + ], + [ + 94139047, + 9628678 + ], + [ + 26081377, + 25712795 + ], + [ + 77128620, + 89372737 + ], + [ + 49845006, + 58179086 + ], + [ + 64912411, + 99844755 + ], + [ + 8706338, + 30225575 + ], + [ + 66868589, + 75694488 + ], + [ + 92084309, + 28439284 + ], + [ + 37182823, + 42581494 + ], + [ + 40116160, + 41103958 + ], + [ + 63677639, + 2274892 + ], + [ + 77858824, + 67229051 + ], + [ + 33100070, + 29771131 + ], + [ + 48935846, + 41481369 + ], + [ + 97820073, + 16740173 + ], + [ + 13519023, + 17251216 + ], + [ + 78886656, + 24662910 + ], + [ + 76591327, + 10302841 + ], + [ + 25679340, + 96404389 + ], + [ + 35731856, + 22338272 + ], + [ + 9780407, + 75131965 + ], + [ + 55246713, + 45800056 + ], + [ + 38771277, + 98716686 + ], + [ + 94627688, + 63327352 + ], + [ + 23366262, + 14148700 + ], + [ + 40681112, + 79848990 + ], + [ + 88457868, + 16364230 + ], + [ + 70479235, + 63602643 + ], + [ + 53008250, + 31533301 + ], + [ + 41748187, + 31575724 + ], + [ + 90243975, + 97216188 + ], + [ + 85037208, + 51242094 + ], + [ + 19843009, + 40518602 + ], + [ + 23163373, + 24154526 + ], + [ + 32259149, + 71313531 + ], + [ + 98428737, + 64484 + ], + [ + 27897969, + 17544064 + ], + [ + 15181357, + 67443833 + ], + [ + 85629077, + 38904456 + ], + [ + 18887720, + 85848211 + ], + [ + 62400974, + 57770313 + ], + [ + 73799664, + 53899325 + ], + [ + 9617043, + 34782176 + ], + [ + 79764262, + 20760338 + ], + [ + 40761964, + 67014091 + ], + [ + 81126243, + 91835005 + ], + [ + 44025309, + 16590025 + ], + [ + 31941529, + 72818662 + ], + [ + 77592983, + 74774059 + ], + [ + 49247924, + 40488130 + ], + [ + 24109975, + 73469573 + ], + [ + 25504602, + 68734703 + ], + [ + 86899531, + 1774448 + ], + [ + 55319995, + 41010125 + ], + [ + 41887699, + 10215311 + ], + [ + 10468067, + 56160655 + ], + [ + 53384474, + 35880630 + ], + [ + 47404717, + 74275691 + ], + [ + 85321007, + 94611545 + ], + [ + 52661190, + 433959 + ], + [ + 13254370, + 55431763 + ], + [ + 59741125, + 32157592 + ], + [ + 78932626, + 66365840 + ], + [ + 42752686, + 54134816 + ], + [ + 38945796, + 3913843 + ], + [ + 21251850, + 44248001 + ], + [ + 59227649, + 82959749 + ], + [ + 81147277, + 40952009 + ], + [ + 85936096, + 63856763 + ], + [ + 64989468, + 66189274 + ], + [ + 62279034, + 6970377 + ], + [ + 32418448, + 79723033 + ], + [ + 29881581, + 44261230 + ], + [ + 37822300, + 9275342 + ], + [ + 98847116, + 86147255 + ], + [ + 42988612, + 46732423 + ], + [ + 8134628, + 13768550 + ], + [ + 78396281, + 14247824 + ], + [ + 64984043, + 74533538 + ], + [ + 41206814, + 48587884 + ], + [ + 81604855, + 1337010 + ], + [ + 41306240, + 72960140 + ], + [ + 36908372, + 99213280 + ], + [ + 58485353, + 80790268 + ], + [ + 79419764, + 6966016 + ], + [ + 14437131, + 91038150 + ], + [ + 28515040, + 81921065 + ], + [ + 86496373, + 48560810 + ], + [ + 92259579, + 523366 + ], + [ + 32665183, + 57747769 + ], + [ + 85978730, + 77652629 + ], + [ + 50474902, + 68404123 + ], + [ + 18979503, + 65274424 + ], + [ + 10475033, + 68690637 + ], + [ + 52862793, + 63965374 + ], + [ + 28960224, + 48519127 + ], + [ + 72761970, + 46171579 + ], + [ + 8156367, + 63405409 + ], + [ + 61338428, + 32464522 + ], + [ + 10376615, + 10349104 + ], + [ + 17590280, + 19630790 + ], + [ + 968289, + 58667732 + ], + [ + 98755339, + 84413590 + ], + [ + 18903603, + 48248660 + ], + [ + 95781911, + 33565130 + ], + [ + 87061159, + 69146969 + ], + [ + 90507603, + 94384223 + ], + [ + 70830881, + 51844879 + ], + [ + 73870048, + 47672118 + ], + [ + 17225394, + 69423475 + ], + [ + 72107419, + 62826527 + ], + [ + 56981413, + 1700393 + ], + [ + 96725310, + 73739733 + ], + [ + 83799392, + 92325149 + ], + [ + 38205381, + 89707164 + ], + [ + 25398135, + 66578667 + ], + [ + 47813236, + 59035528 + ], + [ + 98884702, + 41049766 + ], + [ + 16162167, + 54360816 + ], + [ + 30644421, + 83677427 + ], + [ + 63576438, + 73490255 + ], + [ + 81394300, + 83464261 + ], + [ + 87134501, + 82084791 + ], + [ + 2582588, + 20308439 + ], + [ + 98313607, + 63205908 + ], + [ + 97858723, + 64721289 + ], + [ + 84720213, + 13340814 + ], + [ + 51675022, + 81488507 + ], + [ + 70858149, + 45170535 + ], + [ + 49976576, + 95026760 + ], + [ + 71011502, + 54561967 + ], + [ + 62644526, + 8184043 + ], + [ + 91370795, + 12666310 + ], + [ + 93230597, + 25600703 + ], + [ + 20061151, + 10609741 + ], + [ + 29071622, + 69713319 + ], + [ + 4703353, + 84705244 + ], + [ + 545980, + 9692279 + ], + [ + 1592398, + 83631747 + ], + [ + 47753472, + 70022228 + ], + [ + 15148086, + 80525729 + ], + [ + 71714187, + 12501678 + ], + [ + 693731, + 17254974 + ], + [ + 64381324, + 30615179 + ], + [ + 82937259, + 5818592 + ], + [ + 80786368, + 10636420 + ], + [ + 12397334, + 70756941 + ], + [ + 86326527, + 70654729 + ], + [ + 79082612, + 98848615 + ], + [ + 96359005, + 89912156 + ], + [ + 70109997, + 65735873 + ], + [ + 52253676, + 78908714 + ], + [ + 74838690, + 40819826 + ], + [ + 69180125, + 89211155 + ], + [ + 59887761, + 32802929 + ], + [ + 13356307, + 78512951 + ], + [ + 5674303, + 1453660 + ], + [ + 57069835, + 12094642 + ], + [ + 88074016, + 45811178 + ], + [ + 52706738, + 55922133 + ], + [ + 18970452, + 5853472 + ], + [ + 57066617, + 87265851 + ], + [ + 83224824, + 28615442 + ], + [ + 2314170, + 93649112 + ], + [ + 19812067, + 41536938 + ], + [ + 98529311, + 49119907 + ], + [ + 22227392, + 49663044 + ], + [ + 83555724, + 72056818 + ], + [ + 18941478, + 75139070 + ], + [ + 99837801, + 14935030 + ], + [ + 604552, + 95180365 + ], + [ + 78067120, + 89362762 + ], + [ + 3012373, + 75415384 + ], + [ + 22205472, + 88177013 + ], + [ + 12383875, + 36587801 + ], + [ + 76118893, + 72654278 + ], + [ + 64282968, + 74552052 + ], + [ + 72378605, + 24096924 + ], + [ + 74529693, + 36454868 + ], + [ + 3864998, + 76029585 + ], + [ + 64297190, + 59119447 + ], + [ + 69955113, + 21503634 + ], + [ + 55250566, + 2224841 + ], + [ + 96911781, + 66254765 + ], + [ + 13885561, + 88044606 + ], + [ + 99619180, + 94579830 + ], + [ + 67592753, + 21052995 + ], + [ + 26838341, + 55709293 + ], + [ + 82598700, + 13386574 + ], + [ + 86515046, + 98905764 + ], + [ + 84691198, + 20082807 + ], + [ + 86717623, + 16449982 + ], + [ + 83275721, + 37897068 + ], + [ + 72206776, + 11095228 + ], + [ + 38640015, + 99463128 + ], + [ + 24688182, + 85038347 + ], + [ + 96459885, + 77599768 + ], + [ + 9614254, + 9969189 + ], + [ + 1092550, + 88986993 + ], + [ + 80881918, + 32594339 + ], + [ + 81858896, + 92759233 + ], + [ + 398916, + 25506632 + ], + [ + 99198436, + 71399853 + ], + [ + 97950301, + 84071492 + ], + [ + 97196159, + 31058854 + ], + [ + 22640782, + 54033797 + ], + [ + 30475436, + 76761870 + ], + [ + 68932350, + 96560010 + ], + [ + 54086683, + 44705762 + ], + [ + 51616658, + 64040503 + ], + [ + 83116139, + 6736265 + ], + [ + 94267538, + 83398069 + ], + [ + 78773532, + 8834367 + ], + [ + 74147049, + 77792435 + ], + [ + 37968888, + 57994312 + ], + [ + 92442250, + 4847043 + ], + [ + 37890206, + 74181484 + ], + [ + 87870508, + 84773575 + ], + [ + 13166604, + 33610448 + ], + [ + 17953122, + 80710147 + ], + [ + 5104817, + 4887417 + ], + [ + 58893082, + 83681541 + ], + [ + 2076652, + 88005329 + ], + [ + 20587970, + 42603425 + ], + [ + 9542808, + 19800723 + ], + [ + 4446107, + 3716859 + ], + [ + 30516106, + 9480834 + ], + [ + 62874567, + 42503361 + ], + [ + 75336978, + 35508657 + ], + [ + 89325481, + 85457938 + ], + [ + 39023972, + 46012964 + ], + [ + 22375762, + 21024448 + ], + [ + 5868151, + 96718808 + ], + [ + 89894218, + 66671815 + ], + [ + 32709741, + 72847296 + ], + [ + 98129742, + 33298844 + ], + [ + 91265045, + 52146809 + ], + [ + 94655697, + 50851773 + ], + [ + 61196124, + 91069784 + ], + [ + 83970631, + 85975293 + ], + [ + 28117373, + 91004000 + ], + [ + 33698611, + 98623204 + ], + [ + 82660698, + 78681354 + ], + [ + 17779759, + 43619871 + ], + [ + 35484400, + 84530752 + ], + [ + 34694108, + 94240882 + ], + [ + 80786294, + 14040616 + ], + [ + 54581944, + 97913005 + ], + [ + 74167509, + 62150947 + ], + [ + 84554538, + 44222665 + ], + [ + 49863307, + 3932477 + ], + [ + 24268932, + 59340549 + ], + [ + 46975428, + 2361455 + ], + [ + 2020649, + 29665325 + ], + [ + 39121107, + 44413938 + ], + [ + 87617815, + 98892996 + ], + [ + 46383928, + 13029279 + ], + [ + 29075477, + 24263948 + ], + [ + 47529963, + 55989078 + ], + [ + 45903829, + 40473030 + ], + [ + 76920958, + 50542170 + ], + [ + 64131677, + 59025943 + ], + [ + 26988462, + 67436650 + ], + [ + 7857992, + 25238104 + ], + [ + 30353674, + 50468688 + ], + [ + 81694616, + 62332567 + ], + [ + 33781217, + 20478362 + ], + [ + 20320883, + 45863485 + ], + [ + 91941862, + 78619854 + ], + [ + 45227383, + 43387397 + ], + [ + 98781588, + 17293301 + ], + [ + 68590627, + 98895158 + ], + [ + 7139426, + 94680448 + ], + [ + 97076926, + 41328772 + ], + [ + 65642789, + 16097312 + ], + [ + 89401357, + 16454976 + ], + [ + 86764557, + 93176139 + ], + [ + 39552634, + 80587114 + ], + [ + 51389859, + 47998055 + ], + [ + 98039629, + 98714418 + ], + [ + 32402222, + 4150845 + ], + [ + 32524105, + 78098729 + ], + [ + 38639182, + 53638442 + ], + [ + 47437229, + 1125921 + ], + [ + 24989706, + 16430523 + ], + [ + 48769053, + 65699695 + ], + [ + 28795332, + 80750793 + ], + [ + 1907992, + 92712856 + ], + [ + 62558059, + 56976281 + ], + [ + 50022335, + 32779990 + ], + [ + 19343053, + 66484131 + ], + [ + 72198812, + 49466019 + ], + [ + 84654236, + 32379278 + ], + [ + 16292529, + 85483298 + ], + [ + 29939762, + 44797497 + ], + [ + 85177928, + 99686486 + ], + [ + 26991970, + 96176830 + ], + [ + 38862821, + 20043760 + ], + [ + 69105951, + 41166956 + ], + [ + 422012, + 66360154 + ], + [ + 59333052, + 59131985 + ], + [ + 93458307, + 48371358 + ], + [ + 89615404, + 27660903 + ], + [ + 61324063, + 96986092 + ], + [ + 98483158, + 83207819 + ], + [ + 40949431, + 32792987 + ], + [ + 24022609, + 81988959 + ], + [ + 11476340, + 13193461 + ], + [ + 87155031, + 25067007 + ], + [ + 67806493, + 31797662 + ], + [ + 76638924, + 70724894 + ], + [ + 49507849, + 31207553 + ], + [ + 97972882, + 37755400 + ], + [ + 32147654, + 72595017 + ], + [ + 7155084, + 22864132 + ], + [ + 24290755, + 44107467 + ], + [ + 598579, + 51419820 + ], + [ + 60873806, + 61824618 + ], + [ + 13388103, + 38364823 + ], + [ + 25323234, + 90417297 + ], + [ + 97727827, + 37652405 + ], + [ + 95923875, + 76296984 + ], + [ + 73904401, + 50950637 + ], + [ + 12494896, + 32293472 + ], + [ + 87031150, + 50962569 + ], + [ + 15736530, + 24809388 + ], + [ + 6498762, + 46330146 + ], + [ + 60822802, + 58153345 + ], + [ + 4087751, + 19861782 + ], + [ + 59765199, + 48502540 + ], + [ + 30150396, + 17718879 + ], + [ + 86924445, + 71762239 + ], + [ + 79953143, + 93411067 + ], + [ + 3584009, + 39040798 + ], + [ + 86911700, + 46243053 + ], + [ + 34430752, + 97404431 + ], + [ + 91215402, + 81911503 + ], + [ + 34254820, + 41704236 + ], + [ + 68234565, + 74328649 + ], + [ + 90523481, + 53006537 + ], + [ + 26025752, + 20973410 + ], + [ + 70649374, + 43859319 + ], + [ + 21407147, + 73773319 + ], + [ + 68278255, + 50793757 + ], + [ + 36831110, + 41835432 + ], + [ + 8912665, + 68020696 + ], + [ + 45180207, + 50605962 + ], + [ + 12740803, + 85044585 + ], + [ + 3056113, + 97664157 + ], + [ + 4622868, + 71131278 + ], + [ + 73366303, + 37773225 + ], + [ + 38171808, + 48247141 + ], + [ + 39561546, + 27477524 + ], + [ + 97592011, + 53794023 + ], + [ + 66955643, + 4698308 + ], + [ + 45914844, + 9353038 + ], + [ + 58472959, + 48868642 + ], + [ + 819819, + 73606808 + ], + [ + 83673044, + 37813050 + ], + [ + 82904043, + 26659307 + ], + [ + 32540929, + 54181979 + ], + [ + 96993802, + 87653395 + ], + [ + 27412227, + 23824367 + ], + [ + 85851278, + 6008001 + ], + [ + 11676049, + 3734645 + ], + [ + 94668663, + 93131373 + ], + [ + 8593625, + 84581955 + ], + [ + 10120336, + 80833844 + ], + [ + 41896653, + 73577988 + ], + [ + 86041335, + 2151390 + ], + [ + 15247883, + 87281991 + ], + [ + 49924032, + 6421383 + ], + [ + 57663526, + 98350155 + ], + [ + 1648406, + 37894419 + ], + [ + 66044201, + 37859321 + ], + [ + 57134745, + 97660907 + ], + [ + 13843892, + 83533112 + ], + [ + 55097055, + 16961151 + ], + [ + 25400235, + 71630571 + ], + [ + 45178404, + 12943282 + ], + [ + 66710188, + 65532211 + ], + [ + 47767685, + 57416416 + ], + [ + 44592541, + 46348938 + ], + [ + 68618535, + 83392733 + ], + [ + 7227697, + 11117138 + ], + [ + 82318017, + 83705661 + ], + [ + 23123193, + 91476499 + ], + [ + 63215939, + 63321777 + ], + [ + 6032196, + 99829539 + ], + [ + 52068735, + 4117759 + ], + [ + 5031150, + 69465728 + ], + [ + 88392746, + 15785505 + ], + [ + 67865633, + 99777430 + ], + [ + 26013204, + 31093403 + ], + [ + 27823751, + 59516646 + ], + [ + 96726519, + 22131946 + ], + [ + 13318529, + 63054350 + ], + [ + 87432079, + 72789050 + ], + [ + 13505791, + 21177575 + ], + [ + 56275628, + 40318747 + ], + [ + 53408103, + 94877323 + ], + [ + 641733, + 8614854 + ], + [ + 7137211, + 24723763 + ], + [ + 72634266, + 378762 + ], + [ + 22262451, + 17151011 + ], + [ + 36107867, + 67866416 + ], + [ + 89017114, + 64958605 + ], + [ + 55063593, + 17454801 + ], + [ + 53911302, + 40139250 + ], + [ + 49932713, + 3827600 + ], + [ + 29687932, + 95134834 + ], + [ + 52944239, + 74023747 + ], + [ + 63487023, + 74168204 + ], + [ + 9648548, + 4947323 + ], + [ + 54592541, + 84390313 + ], + [ + 50732510, + 68687061 + ], + [ + 66740571, + 98464453 + ], + [ + 94155071, + 40918421 + ], + [ + 31584866, + 24788330 + ], + [ + 60520823, + 6379169 + ], + [ + 58179697, + 17890566 + ], + [ + 12623311, + 16193190 + ], + [ + 54211083, + 20217681 + ], + [ + 87296495, + 91010494 + ], + [ + 27841488, + 46325720 + ], + [ + 95215361, + 23158533 + ], + [ + 68357389, + 17271394 + ], + [ + 32736907, + 84272713 + ], + [ + 29830438, + 29410230 + ], + [ + 44403842, + 70080120 + ], + [ + 40556872, + 31401549 + ], + [ + 8279810, + 44715113 + ], + [ + 40309838, + 30326791 + ], + [ + 73605142, + 5908468 + ], + [ + 88245417, + 47209544 + ], + [ + 62193284, + 18236282 + ], + [ + 6945913, + 48745879 + ], + [ + 58013985, + 85988723 + ], + [ + 13093031, + 9292922 + ], + [ + 96917046, + 35118383 + ], + [ + 92139033, + 50297123 + ], + [ + 45978510, + 69090898 + ], + [ + 69450479, + 3778315 + ], + [ + 21975834, + 31628725 + ], + [ + 18009345, + 65037785 + ], + [ + 26793714, + 36890189 + ], + [ + 88601856, + 4093626 + ], + [ + 74468853, + 57455784 + ], + [ + 81194017, + 31512545 + ], + [ + 81247418, + 44591582 + ], + [ + 82665301, + 55719782 + ], + [ + 36081237, + 46493145 + ], + [ + 99994661, + 97366855 + ], + [ + 47673249, + 99351008 + ], + [ + 5545133, + 27628222 + ], + [ + 35837156, + 36943036 + ], + [ + 94431322, + 67476668 + ], + [ + 21064105, + 83916334 + ], + [ + 3002003, + 94186581 + ], + [ + 96281277, + 53920136 + ], + [ + 57387709, + 25612130 + ], + [ + 19330596, + 62919343 + ], + [ + 33643213, + 69494332 + ], + [ + 26984393, + 48566414 + ], + [ + 74933036, + 62891089 + ], + [ + 31643809, + 63369906 + ], + [ + 78191793, + 60463897 + ], + [ + 59657383, + 16143505 + ], + [ + 63993382, + 67343352 + ], + [ + 87865788, + 30553819 + ], + [ + 21258982, + 24900192 + ], + [ + 85283574, + 33573782 + ], + [ + 54532743, + 24016264 + ], + [ + 59745259, + 19881035 + ], + [ + 68560674, + 99502932 + ], + [ + 13732913, + 64262630 + ], + [ + 15382039, + 33748683 + ], + [ + 42158693, + 12672155 + ], + [ + 69692649, + 24066697 + ], + [ + 84013135, + 36403272 + ], + [ + 58021893, + 85304828 + ], + [ + 76457753, + 52282605 + ], + [ + 38803454, + 6849118 + ], + [ + 20395127, + 24103942 + ], + [ + 65905019, + 44854343 + ], + [ + 16351049, + 88453565 + ], + [ + 89068263, + 68914471 + ], + [ + 75085005, + 87305593 + ], + [ + 35850778, + 15997565 + ], + [ + 42781527, + 8403668 + ], + [ + 26437469, + 55983331 + ], + [ + 93757810, + 66488506 + ], + [ + 63752476, + 47326306 + ], + [ + 79025646, + 15228390 + ], + [ + 9968593, + 64821965 + ], + [ + 15529229, + 29664084 + ], + [ + 13787614, + 24435798 + ], + [ + 74319480, + 53274579 + ], + [ + 60843280, + 34620477 + ], + [ + 37882196, + 48555895 + ], + [ + 93392478, + 80158137 + ], + [ + 64952979, + 43455206 + ], + [ + 26047333, + 48379860 + ], + [ + 61222754, + 45680629 + ], + [ + 57971188, + 81584023 + ], + [ + 91738665, + 33366666 + ], + [ + 99046195, + 534586 + ], + [ + 45682134, + 64158719 + ], + [ + 21308981, + 82400901 + ], + [ + 30791940, + 8420998 + ], + [ + 57819997, + 65325524 + ], + [ + 51750809, + 93496993 + ], + [ + 44218423, + 10716407 + ], + [ + 67453757, + 35661102 + ], + [ + 86754612, + 11549289 + ], + [ + 25874471, + 67444311 + ], + [ + 23184963, + 73764599 + ], + [ + 98392760, + 17455822 + ], + [ + 44366718, + 95421109 + ], + [ + 6762255, + 36976727 + ], + [ + 77852921, + 66440181 + ], + [ + 34243759, + 23017570 + ], + [ + 98016131, + 58723034 + ], + [ + 75767577, + 71504083 + ], + [ + 83067113, + 59601640 + ], + [ + 63951087, + 73009126 + ], + [ + 68023745, + 29317432 + ], + [ + 91047994, + 86034284 + ], + [ + 89931336, + 26212121 + ], + [ + 15890889, + 32268193 + ], + [ + 7430977, + 79027145 + ], + [ + 38438594, + 87740381 + ], + [ + 94452267, + 93830965 + ], + [ + 70544395, + 74186844 + ], + [ + 59654466, + 76395425 + ], + [ + 14515796, + 70217799 + ], + [ + 18059041, + 40971572 + ], + [ + 30941410, + 42719899 + ], + [ + 16118020, + 98023231 + ], + [ + 24499490, + 71800231 + ], + [ + 96487987, + 28012284 + ], + [ + 16821803, + 9987965 + ], + [ + 65224530, + 32640741 + ], + [ + 69691522, + 68263726 + ], + [ + 34225073, + 99987108 + ], + [ + 92258592, + 60919832 + ], + [ + 69699282, + 64256726 + ], + [ + 96596366, + 29349023 + ], + [ + 627863, + 96598012 + ], + [ + 63826777, + 76544450 + ], + [ + 53390898, + 80695281 + ], + [ + 8308825, + 41172228 + ], + [ + 18571072, + 87217932 + ], + [ + 8371351, + 3515579 + ], + [ + 96872149, + 66189397 + ], + [ + 37696949, + 61437756 + ], + [ + 81137375, + 88462880 + ], + [ + 25937741, + 30911672 + ], + [ + 89578439, + 73438110 + ], + [ + 70204177, + 76206704 + ], + [ + 16165337, + 15311429 + ], + [ + 41001757, + 35023101 + ], + [ + 57744963, + 59960776 + ], + [ + 79504331, + 38374938 + ], + [ + 78483654, + 88892914 + ], + [ + 82135470, + 87566460 + ], + [ + 2175665, + 98039616 + ], + [ + 86721994, + 40754107 + ], + [ + 98704805, + 39576470 + ], + [ + 66026248, + 57503385 + ], + [ + 93813789, + 36155565 + ], + [ + 26026307, + 62305206 + ], + [ + 18569348, + 78777719 + ], + [ + 34334824, + 3018833 + ], + [ + 54969954, + 45791497 + ], + [ + 29250712, + 8563778 + ], + [ + 96071551, + 79309475 + ], + [ + 80056714, + 52284585 + ], + [ + 58318516, + 32738361 + ], + [ + 12022061, + 75671896 + ], + [ + 61696882, + 58103060 + ], + [ + 82807749, + 30954901 + ], + [ + 74272081, + 92093758 + ], + [ + 93377505, + 75076256 + ], + [ + 26204590, + 17879811 + ], + [ + 15637929, + 54606749 + ], + [ + 24370015, + 84268167 + ], + [ + 33376764, + 55684685 + ], + [ + 29885596, + 41048471 + ], + [ + 50171434, + 37485146 + ], + [ + 31242418, + 56298264 + ], + [ + 47505768, + 45050837 + ], + [ + 17305680, + 67745436 + ], + [ + 93756285, + 77222789 + ], + [ + 14555709, + 17298263 + ], + [ + 29306016, + 86200185 + ], + [ + 98239973, + 75173545 + ], + [ + 29831346, + 82540980 + ], + [ + 60574218, + 63490771 + ], + [ + 98390202, + 63154949 + ], + [ + 17854284, + 85198425 + ], + [ + 30247428, + 81678669 + ], + [ + 19586077, + 64207630 + ], + [ + 12910669, + 61017363 + ], + [ + 18271036, + 44315614 + ], + [ + 95430233, + 17254199 + ], + [ + 61119954, + 80047481 + ], + [ + 71095780, + 65286394 + ], + [ + 68621482, + 62938345 + ], + [ + 99581744, + 58971781 + ], + [ + 10898602, + 10711568 + ], + [ + 76454272, + 41799005 + ], + [ + 74466873, + 34163326 + ], + [ + 18009269, + 88701585 + ], + [ + 89976332, + 4131300 + ], + [ + 65849547, + 96873067 + ], + [ + 54866331, + 71011943 + ], + [ + 79130933, + 65951457 + ], + [ + 48301137, + 55531109 + ], + [ + 13023916, + 47399130 + ], + [ + 55883199, + 31381061 + ], + [ + 82094439, + 96481236 + ], + [ + 50937950, + 95233622 + ], + [ + 18470480, + 90922917 + ], + [ + 67834167, + 14488845 + ], + [ + 78589899, + 46742209 + ], + [ + 86080413, + 80017133 + ], + [ + 65939683, + 49261947 + ], + [ + 54696492, + 4958769 + ], + [ + 39606306, + 916185 + ], + [ + 59735498, + 27150248 + ], + [ + 38808952, + 20860636 + ], + [ + 40782147, + 71861554 + ], + [ + 77911493, + 40870902 + ], + [ + 88970534, + 37127293 + ], + [ + 1058785, + 36379798 + ], + [ + 23773454, + 35405030 + ], + [ + 52167652, + 53293791 + ], + [ + 61553573, + 41834029 + ], + [ + 55828488, + 5482067 + ], + [ + 86071819, + 79823375 + ], + [ + 27551039, + 3262679 + ], + [ + 18951773, + 67530833 + ], + [ + 85432728, + 53105923 + ], + [ + 75424162, + 50029037 + ], + [ + 97865094, + 73381847 + ], + [ + 52642556, + 29815644 + ], + [ + 84102150, + 13772409 + ], + [ + 22546196, + 64056865 + ], + [ + 55722296, + 14086565 + ], + [ + 60551239, + 50236992 + ], + [ + 1744425, + 55739455 + ], + [ + 39165087, + 24871818 + ], + [ + 76505137, + 18630472 + ], + [ + 95132970, + 28716467 + ], + [ + 15290479, + 56446079 + ], + [ + 45678247, + 68058770 + ], + [ + 57352010, + 93471435 + ], + [ + 5542447, + 55275292 + ], + [ + 25731876, + 61479264 + ], + [ + 27345690, + 58179392 + ], + [ + 43447507, + 1352433 + ], + [ + 46727674, + 14073386 + ], + [ + 10817335, + 39748293 + ], + [ + 91882638, + 68586048 + ], + [ + 18171627, + 57392997 + ], + [ + 50275056, + 88940353 + ], + [ + 70267106, + 91629622 + ], + [ + 27429690, + 91049652 + ], + [ + 31030322, + 104573 + ], + [ + 56976059, + 92255214 + ], + [ + 5554457, + 17468060 + ], + [ + 57184737, + 85484043 + ], + [ + 5616744, + 96483156 + ], + [ + 59774384, + 79682196 + ], + [ + 49934103, + 89479019 + ], + [ + 73416882, + 13561944 + ], + [ + 77173653, + 48323049 + ], + [ + 37178364, + 74834230 + ], + [ + 71452646, + 94659868 + ], + [ + 5227843, + 15786517 + ], + [ + 83404344, + 13820503 + ], + [ + 27692645, + 8267132 + ], + [ + 62730111, + 94820909 + ], + [ + 81265251, + 49294671 + ], + [ + 28036212, + 30389964 + ], + [ + 87856391, + 5447615 + ], + [ + 80729717, + 13245802 + ], + [ + 24443541, + 23628364 + ], + [ + 78334537, + 26357561 + ], + [ + 59987688, + 78355948 + ], + [ + 16046771, + 70052606 + ], + [ + 3892159, + 83751168 + ], + [ + 7145434, + 33438559 + ], + [ + 26719820, + 69101079 + ], + [ + 70494250, + 40509126 + ], + [ + 16970122, + 65640619 + ], + [ + 23314174, + 77862653 + ], + [ + 52099063, + 31190765 + ], + [ + 60051495, + 34729341 + ], + [ + 5935488, + 22518096 + ], + [ + 37488203, + 60726304 + ], + [ + 25456014, + 61870374 + ], + [ + 91108166, + 49300671 + ], + [ + 88855512, + 65697256 + ], + [ + 44731380, + 81740222 + ], + [ + 3514457, + 59969834 + ], + [ + 1201853, + 61570846 + ], + [ + 48506417, + 64853781 + ], + [ + 75720878, + 36690307 + ], + [ + 8720916, + 97104049 + ], + [ + 14440278, + 69260202 + ], + [ + 90670210, + 95058555 + ], + [ + 68560464, + 77418324 + ], + [ + 58869176, + 97962460 + ], + [ + 96863655, + 27148955 + ], + [ + 7401023, + 24964633 + ], + [ + 97081907, + 80239149 + ], + [ + 33502583, + 20915099 + ], + [ + 84767968, + 99185776 + ], + [ + 67372412, + 78282257 + ], + [ + 79855439, + 50394424 + ], + [ + 74539441, + 70781654 + ], + [ + 98310791, + 30740193 + ], + [ + 9300180, + 26630366 + ], + [ + 29202398, + 48775295 + ], + [ + 40462309, + 28276440 + ], + [ + 31643560, + 25968264 + ], + [ + 44907941, + 27562932 + ], + [ + 5583789, + 44930210 + ], + [ + 88708837, + 65794446 + ], + [ + 47483029, + 15414166 + ], + [ + 77733727, + 26278122 + ], + [ + 25997384, + 89606683 + ], + [ + 91831101, + 24446781 + ], + [ + 44610576, + 53264731 + ], + [ + 46178455, + 73073861 + ], + [ + 63056461, + 98967259 + ], + [ + 71479967, + 25409950 + ], + [ + 50848263, + 67376802 + ], + [ + 50467443, + 34471789 + ], + [ + 65807866, + 8276608 + ], + [ + 72244160, + 77510933 + ], + [ + 86293406, + 99028221 + ], + [ + 43647355, + 95452941 + ], + [ + 5386526, + 50373781 + ], + [ + 8543283, + 15851794 + ], + [ + 92655537, + 42262852 + ], + [ + 40742412, + 91798648 + ], + [ + 1319636, + 1019251 + ], + [ + 26125940, + 78786526 + ], + [ + 80760196, + 33102000 + ], + [ + 25898678, + 68697856 + ], + [ + 53438539, + 69052450 + ], + [ + 88714918, + 63335271 + ], + [ + 65920808, + 48726642 + ], + [ + 58009485, + 66909522 + ], + [ + 60608432, + 19308608 + ], + [ + 74513371, + 65418699 + ], + [ + 29719165, + 62362833 + ], + [ + 84635282, + 91550248 + ], + [ + 66126409, + 39549768 + ], + [ + 60535691, + 86746400 + ], + [ + 37709733, + 31857127 + ], + [ + 24694047, + 37202961 + ], + [ + 73454945, + 89824319 + ], + [ + 53149253, + 66989655 + ], + [ + 72540117, + 27758796 + ], + [ + 42393232, + 21822431 + ], + [ + 44791281, + 13364612 + ], + [ + 10136666, + 49855045 + ], + [ + 64996025, + 49975257 + ], + [ + 31548404, + 82753481 + ], + [ + 20333912, + 17390968 + ], + [ + 7402273, + 99653003 + ], + [ + 81210918, + 70775107 + ], + [ + 11175373, + 75999598 + ], + [ + 23220074, + 38101692 + ], + [ + 13160650, + 41238709 + ], + [ + 90560753, + 80804732 + ], + [ + 41132882, + 32664076 + ], + [ + 24935738, + 24149058 + ], + [ + 58320332, + 69583885 + ], + [ + 57589554, + 31111009 + ], + [ + 48255753, + 21547083 + ], + [ + 95182679, + 83970013 + ], + [ + 98171776, + 57922742 + ], + [ + 45448455, + 88483379 + ], + [ + 59239606, + 42599012 + ], + [ + 921622, + 68878121 + ], + [ + 91532774, + 91880907 + ], + [ + 65691378, + 38207223 + ], + [ + 79672087, + 29684581 + ], + [ + 88068356, + 85984646 + ], + [ + 12539320, + 95985520 + ], + [ + 55047019, + 857400 + ], + [ + 31261272, + 13524577 + ], + [ + 40364996, + 73054487 + ], + [ + 56724176, + 80118590 + ], + [ + 2861682, + 39564676 + ], + [ + 26147782, + 51343627 + ], + [ + 67112015, + 77197667 + ], + [ + 27424988, + 21902712 + ], + [ + 6949814, + 40138585 + ], + [ + 77868306, + 51275385 + ], + [ + 29055554, + 30448244 + ], + [ + 55021580, + 69254947 + ], + [ + 28567965, + 79198297 + ], + [ + 81296023, + 92644484 + ], + [ + 23551631, + 7735634 + ], + [ + 16743030, + 20564721 + ], + [ + 32087180, + 63242606 + ], + [ + 99542137, + 44788204 + ], + [ + 76974336, + 27815909 + ], + [ + 98861553, + 76650369 + ], + [ + 14053929, + 42965258 + ], + [ + 83046289, + 80822142 + ], + [ + 56131220, + 65031172 + ], + [ + 45122323, + 26007150 + ], + [ + 29723082, + 29429708 + ], + [ + 24897429, + 36636193 + ], + [ + 85325814, + 88581179 + ], + [ + 54975352, + 35284009 + ], + [ + 9108695, + 38655901 + ], + [ + 59232037, + 25609304 + ], + [ + 28242442, + 59315942 + ], + [ + 25614633, + 66373405 + ], + [ + 50386288, + 10475729 + ], + [ + 31582736, + 33418771 + ], + [ + 74098842, + 23376984 + ], + [ + 84798802, + 2356623 + ], + [ + 91550497, + 13713631 + ], + [ + 11854459, + 69474386 + ], + [ + 28338820, + 99576556 + ], + [ + 35609655, + 24691164 + ], + [ + 57113835, + 82763363 + ], + [ + 90285349, + 35468587 + ], + [ + 85355901, + 88156821 + ], + [ + 89404741, + 21333257 + ], + [ + 8238571, + 75321696 + ], + [ + 19351177, + 22261937 + ], + [ + 20998081, + 93143637 + ], + [ + 22721536, + 60257100 + ], + [ + 66131962, + 92890030 + ], + [ + 49317024, + 25538583 + ], + [ + 68535097, + 16948592 + ], + [ + 80937448, + 31648528 + ], + [ + 70745281, + 81510415 + ], + [ + 80899299, + 54019804 + ], + [ + 77491796, + 93015329 + ], + [ + 39570738, + 99102753 + ], + [ + 18768986, + 80941510 + ], + [ + 67714999, + 32535126 + ], + [ + 88731057, + 60157295 + ], + [ + 91697763, + 26367815 + ], + [ + 72565108, + 47083993 + ], + [ + 31544958, + 35861701 + ], + [ + 59346379, + 17987965 + ], + [ + 54761275, + 5273775 + ], + [ + 79613618, + 8076730 + ], + [ + 40755172, + 54305281 + ], + [ + 51107627, + 11244702 + ], + [ + 34304471, + 29453904 + ], + [ + 42420183, + 12471000 + ], + [ + 48087068, + 57443500 + ], + [ + 48965350, + 7154479 + ], + [ + 14296382, + 94910988 + ], + [ + 1181205, + 155048 + ], + [ + 53055497, + 94491730 + ], + [ + 77866618, + 59871248 + ], + [ + 71497195, + 38710099 + ], + [ + 22066745, + 36353157 + ], + [ + 24602829, + 76909036 + ], + [ + 93533641, + 19756709 + ], + [ + 96237876, + 70027247 + ], + [ + 69370670, + 71706333 + ], + [ + 41514082, + 342128 + ], + [ + 55421793, + 9425351 + ], + [ + 83263233, + 27743032 + ], + [ + 75271952, + 98131758 + ], + [ + 53035046, + 5652073 + ], + [ + 74170972, + 96981625 + ], + [ + 48974164, + 95626193 + ], + [ + 49624403, + 68232580 + ], + [ + 19785250, + 8706623 + ], + [ + 64045037, + 63833828 + ], + [ + 14850443, + 67585257 + ], + [ + 74498081, + 27965828 + ], + [ + 30044077, + 92326706 + ], + [ + 6841731, + 90524739 + ], + [ + 36830152, + 56530300 + ], + [ + 14425749, + 45225835 + ], + [ + 70425972, + 89024757 + ], + [ + 60782769, + 37563741 + ], + [ + 38875233, + 83169558 + ], + [ + 12657076, + 25854216 + ], + [ + 83827447, + 11427278 + ], + [ + 12658518, + 39470339 + ], + [ + 48286997, + 3970015 + ], + [ + 43146408, + 91058267 + ], + [ + 18944397, + 32911151 + ], + [ + 65351413, + 67770555 + ], + [ + 24256699, + 42920186 + ], + [ + 52567610, + 2367084 + ], + [ + 98492696, + 49263288 + ], + [ + 95237005, + 27621300 + ], + [ + 75585828, + 13815914 + ], + [ + 66889329, + 35234460 + ], + [ + 3874127, + 58019228 + ], + [ + 25806124, + 48333879 + ], + [ + 12912267, + 85319172 + ], + [ + 35089280, + 71186220 + ], + [ + 85490789, + 49102157 + ], + [ + 58792112, + 29493889 + ], + [ + 55369956, + 12644717 + ], + [ + 61127434, + 19396810 + ], + [ + 1353206, + 54434984 + ], + [ + 81993471, + 2039757 + ], + [ + 4523840, + 62011051 + ], + [ + 71590567, + 19069734 + ], + [ + 37746984, + 80905246 + ], + [ + 53958366, + 16477780 + ], + [ + 79228225, + 37689692 + ], + [ + 16886299, + 76809964 + ], + [ + 35725911, + 78678621 + ], + [ + 78765719, + 2555387 + ], + [ + 24766163, + 46753895 + ], + [ + 49422833, + 90321042 + ], + [ + 77179620, + 250709 + ], + [ + 91627473, + 60998444 + ], + [ + 58290324, + 69797327 + ], + [ + 59125080, + 38440661 + ], + [ + 40870791, + 21107103 + ], + [ + 11519176, + 8569188 + ], + [ + 16007291, + 10646604 + ], + [ + 65075309, + 8454064 + ], + [ + 90380972, + 91057765 + ], + [ + 90786249, + 3870481 + ], + [ + 20539746, + 70310335 + ], + [ + 58778233, + 87470277 + ], + [ + 31962848, + 64645349 + ], + [ + 84727016, + 13983812 + ], + [ + 34916674, + 81697578 + ], + [ + 52288625, + 2251732 + ], + [ + 93101038, + 30197017 + ], + [ + 52833877, + 72283114 + ], + [ + 48673068, + 2912312 + ], + [ + 60779841, + 12584625 + ], + [ + 8993494, + 10348510 + ], + [ + 9933404, + 4049336 + ], + [ + 78470097, + 97185564 + ], + [ + 51954557, + 67638591 + ], + [ + 12064438, + 43535816 + ], + [ + 24435840, + 9186191 + ], + [ + 81906964, + 12867762 + ], + [ + 84066091, + 30291848 + ], + [ + 93682851, + 50806266 + ], + [ + 14890633, + 5479488 + ], + [ + 15930114, + 15847957 + ], + [ + 62439556, + 52015141 + ], + [ + 55357725, + 88072588 + ], + [ + 39875555, + 99453248 + ], + [ + 97825959, + 76331404 + ], + [ + 41312211, + 70719672 + ], + [ + 641259, + 98140853 + ], + [ + 78791155, + 72021559 + ], + [ + 31284985, + 47579222 + ], + [ + 31478920, + 79556770 + ], + [ + 64211177, + 99896893 + ], + [ + 62152620, + 47754870 + ], + [ + 26691971, + 64669801 + ], + [ + 7524725, + 42126392 + ], + [ + 11651498, + 11671231 + ], + [ + 26228459, + 42719918 + ], + [ + 16545565, + 11796529 + ], + [ + 38494339, + 78226345 + ], + [ + 38492697, + 8727391 + ], + [ + 94443362, + 19753462 + ], + [ + 89945270, + 27244202 + ], + [ + 6883224, + 43047811 + ], + [ + 68175217, + 38470550 + ], + [ + 47807882, + 24463930 + ], + [ + 99821008, + 81492509 + ], + [ + 77846275, + 88227258 + ], + [ + 4737334, + 43464597 + ], + [ + 14154287, + 11333862 + ], + [ + 68366439, + 89785968 + ], + [ + 69082439, + 78896245 + ], + [ + 71912428, + 38669946 + ], + [ + 54203192, + 34363852 + ], + [ + 84095963, + 59109521 + ], + [ + 70577916, + 16074593 + ], + [ + 10163131, + 44644959 + ], + [ + 5072162, + 51580966 + ], + [ + 55311464, + 2963896 + ], + [ + 48455697, + 69416918 + ], + [ + 66844847, + 42588684 + ], + [ + 89386658, + 2501018 + ], + [ + 80438157, + 28589638 + ], + [ + 7880281, + 60172361 + ], + [ + 98108381, + 77853169 + ], + [ + 20311021, + 9495392 + ], + [ + 15206458, + 39814346 + ], + [ + 12332877, + 3776411 + ], + [ + 68288371, + 87584747 + ], + [ + 21952106, + 43934228 + ], + [ + 62087220, + 86402577 + ], + [ + 30887982, + 34006860 + ], + [ + 37240602, + 37785779 + ], + [ + 6178094, + 62594391 + ], + [ + 29858371, + 79345348 + ], + [ + 27383150, + 56168916 + ], + [ + 99298147, + 24869800 + ], + [ + 58151884, + 65181936 + ], + [ + 49437291, + 80090060 + ], + [ + 67438208, + 71328273 + ], + [ + 10013052, + 95833337 + ], + [ + 88889680, + 55658001 + ], + [ + 94535869, + 45894453 + ], + [ + 29597284, + 26561671 + ], + [ + 67048424, + 88244025 + ], + [ + 54272538, + 27709276 + ], + [ + 48101399, + 59469310 + ], + [ + 42000186, + 67079325 + ], + [ + 20284977, + 16313258 + ], + [ + 88339560, + 30812730 + ], + [ + 79641525, + 81843025 + ], + [ + 85139741, + 75797545 + ], + [ + 84370576, + 28422226 + ], + [ + 67800345, + 69618313 + ], + [ + 91178221, + 25011954 + ], + [ + 41716413, + 8072817 + ], + [ + 36619882, + 49832236 + ], + [ + 16073797, + 94331458 + ], + [ + 96977630, + 18197117 + ], + [ + 34351341, + 68303987 + ], + [ + 24675472, + 57182881 + ], + [ + 36420019, + 46925378 + ], + [ + 6749026, + 1156673 + ], + [ + 70864990, + 12672272 + ], + [ + 23690222, + 99592002 + ], + [ + 11639716, + 92493257 + ], + [ + 27698130, + 68484576 + ], + [ + 94649363, + 17985648 + ], + [ + 49493923, + 3830917 + ], + [ + 27851179, + 22858263 + ], + [ + 5407204, + 35623764 + ], + [ + 65644151, + 81426233 + ], + [ + 27261234, + 83813810 + ], + [ + 3891396, + 38619151 + ], + [ + 87288960, + 20151416 + ], + [ + 88281239, + 21167819 + ], + [ + 38713493, + 76502114 + ], + [ + 87009951, + 92602900 + ], + [ + 91018780, + 64140529 + ], + [ + 6284519, + 68062695 + ], + [ + 11454496, + 70662221 + ], + [ + 36443422, + 59109667 + ], + [ + 10065282, + 48891563 + ], + [ + 86092372, + 81479079 + ], + [ + 58590084, + 56694760 + ], + [ + 65997595, + 71771202 + ], + [ + 77575497, + 49519611 + ], + [ + 83982910, + 25208195 + ], + [ + 34629303, + 30530785 + ], + [ + 30628500, + 11122783 + ], + [ + 72290111, + 76005763 + ], + [ + 55191951, + 8548529 + ], + [ + 53467300, + 98475202 + ], + [ + 5201418, + 83990778 + ], + [ + 78974081, + 47873920 + ], + [ + 52831052, + 66482813 + ], + [ + 54128941, + 28102886 + ], + [ + 11064817, + 3195961 + ], + [ + 53654068, + 23120195 + ], + [ + 30084022, + 98984637 + ], + [ + 33518272, + 90761140 + ], + [ + 65950306, + 9532182 + ], + [ + 40770258, + 45151048 + ], + [ + 57860481, + 98465426 + ], + [ + 50568621, + 45264486 + ], + [ + 37788044, + 98920982 + ], + [ + 19847881, + 98430432 + ], + [ + 55962495, + 53853296 + ], + [ + 76557070, + 92078920 + ], + [ + 20100242, + 53195663 + ], + [ + 29065988, + 83903399 + ], + [ + 60727062, + 84231281 + ], + [ + 16158605, + 99301638 + ], + [ + 75329624, + 73326025 + ], + [ + 82388558, + 20809072 + ], + [ + 40420273, + 24754431 + ], + [ + 9577426, + 25184192 + ], + [ + 70406557, + 86019762 + ], + [ + 21825743, + 14055021 + ], + [ + 42146170, + 12826307 + ], + [ + 18151389, + 27737975 + ], + [ + 7817976, + 73696493 + ], + [ + 98288586, + 44798331 + ], + [ + 52291363, + 11784232 + ], + [ + 79783701, + 92436521 + ], + [ + 57445299, + 41444383 + ], + [ + 85816630, + 82359603 + ], + [ + 51631932, + 89841224 + ], + [ + 64499005, + 21668208 + ], + [ + 73926683, + 51912328 + ], + [ + 59781052, + 91044218 + ], + [ + 35353208, + 46171339 + ], + [ + 38454201, + 1799980 + ], + [ + 53728608, + 80592054 + ], + [ + 72407158, + 93482700 + ], + [ + 24698274, + 80879256 + ], + [ + 72710874, + 21911890 + ], + [ + 9564590, + 68001267 + ], + [ + 47908198, + 60707749 + ], + [ + 11410071, + 61285408 + ], + [ + 68989859, + 12383732 + ], + [ + 67034381, + 84856635 + ], + [ + 1237510, + 11044262 + ], + [ + 80753794, + 82254825 + ], + [ + 22973881, + 72675875 + ], + [ + 51628474, + 39357749 + ], + [ + 4439723, + 54260642 + ], + [ + 85982663, + 12422981 + ], + [ + 38307010, + 68552710 + ], + [ + 11685900, + 65949595 + ], + [ + 88258070, + 69927934 + ], + [ + 55498713, + 57752333 + ], + [ + 16567254, + 80987020 + ], + [ + 82154710, + 636050 + ], + [ + 66368063, + 8495444 + ], + [ + 668812, + 83192341 + ], + [ + 63798485, + 25073455 + ], + [ + 36269008, + 96103452 + ], + [ + 85521261, + 67698257 + ], + [ + 98430586, + 84850688 + ], + [ + 99352070, + 9956117 + ], + [ + 56453569, + 81512971 + ], + [ + 89766533, + 1934547 + ], + [ + 68243495, + 11336251 + ], + [ + 53802828, + 97447059 + ], + [ + 37559198, + 32245591 + ], + [ + 45141617, + 51270897 + ], + [ + 86566094, + 26335400 + ], + [ + 20128601, + 9082936 + ], + [ + 14183840, + 59718922 + ], + [ + 35223563, + 76310136 + ], + [ + 40970723, + 35868596 + ], + [ + 11888295, + 10916825 + ], + [ + 8716613, + 63071975 + ], + [ + 55660784, + 36487580 + ], + [ + 73142186, + 62583557 + ], + [ + 66938032, + 51334092 + ], + [ + 36780034, + 67089087 + ], + [ + 405534, + 34189983 + ], + [ + 49531992, + 4093571 + ], + [ + 93332121, + 44083538 + ], + [ + 94049489, + 10698291 + ], + [ + 55690187, + 62833323 + ], + [ + 10730222, + 14052863 + ], + [ + 72923710, + 5819 + ], + [ + 7204576, + 57904982 + ], + [ + 25727223, + 23094247 + ], + [ + 42380753, + 87393818 + ], + [ + 39682993, + 14717558 + ], + [ + 24490956, + 2711020 + ], + [ + 62971978, + 78260844 + ], + [ + 84058705, + 75325262 + ], + [ + 59593886, + 47037277 + ], + [ + 2814475, + 34460624 + ], + [ + 50269459, + 88985492 + ], + [ + 87359525, + 47941629 + ], + [ + 23347033, + 31775292 + ], + [ + 37733055, + 94645003 + ], + [ + 42654081, + 33984383 + ], + [ + 34487751, + 4131074 + ], + [ + 72260465, + 92344598 + ], + [ + 77660806, + 63135071 + ], + [ + 70716013, + 24212009 + ], + [ + 13716809, + 37773022 + ], + [ + 23867424, + 72803130 + ], + [ + 55074270, + 55126630 + ], + [ + 4015589, + 82607341 + ], + [ + 10851980, + 59262376 + ], + [ + 52624078, + 68874480 + ], + [ + 47813815, + 88164985 + ], + [ + 71033578, + 398541 + ], + [ + 44086813, + 51759745 + ], + [ + 77187453, + 76826296 + ], + [ + 95657970, + 3188706 + ], + [ + 88772888, + 4156616 + ], + [ + 28515542, + 1982429 + ], + [ + 65631363, + 52714695 + ], + [ + 9144964, + 63817438 + ], + [ + 58574494, + 61337085 + ], + [ + 85611811, + 59167919 + ], + [ + 10762455, + 65217191 + ], + [ + 16453770, + 72418064 + ], + [ + 5482304, + 55133372 + ], + [ + 57501920, + 41039363 + ], + [ + 19708290, + 92774897 + ], + [ + 14910068, + 91413548 + ], + [ + 91744669, + 67661851 + ], + [ + 38990131, + 14507665 + ], + [ + 33922484, + 97669834 + ], + [ + 58266127, + 10799380 + ], + [ + 15770432, + 94948345 + ], + [ + 47546033, + 23249858 + ], + [ + 64927890, + 96819727 + ], + [ + 66126633, + 62145788 + ], + [ + 56376610, + 5718833 + ], + [ + 38355878, + 27565371 + ], + [ + 38275315, + 31926894 + ], + [ + 53982732, + 91468488 + ], + [ + 18782892, + 97754201 + ], + [ + 13162598, + 72293983 + ], + [ + 84787703, + 51192374 + ], + [ + 78715089, + 74493157 + ], + [ + 3611302, + 31042090 + ], + [ + 38202515, + 77274518 + ], + [ + 36131797, + 29227374 + ], + [ + 66319176, + 8838982 + ], + [ + 168595, + 87577366 + ], + [ + 37224503, + 48100592 + ], + [ + 70221838, + 67427437 + ], + [ + 1773028, + 90043888 + ], + [ + 22428569, + 29939926 + ], + [ + 84906, + 69365353 + ], + [ + 39983327, + 22719724 + ], + [ + 61266604, + 94848200 + ], + [ + 24742790, + 55030207 + ], + [ + 31205877, + 71850475 + ], + [ + 57717204, + 22868043 + ], + [ + 44254126, + 83490903 + ], + [ + 81855862, + 45754945 + ], + [ + 22479297, + 896169 + ], + [ + 75001978, + 67630784 + ], + [ + 10085987, + 99814511 + ], + [ + 10040, + 76303262 + ], + [ + 1745363, + 70523179 + ], + [ + 91037886, + 28615300 + ], + [ + 95353517, + 96560042 + ], + [ + 83085753, + 52215311 + ], + [ + 7872254, + 99634726 + ], + [ + 87617085, + 97655224 + ], + [ + 72598855, + 40045902 + ], + [ + 70746919, + 5716091 + ], + [ + 75013146, + 36051064 + ], + [ + 73952468, + 39981700 + ], + [ + 91742864, + 86814335 + ], + [ + 29054746, + 48789795 + ], + [ + 98535629, + 90586143 + ], + [ + 59657848, + 58807681 + ], + [ + 23487259, + 40747416 + ], + [ + 236845, + 97998817 + ], + [ + 2874586, + 71332842 + ], + [ + 82174563, + 99461356 + ], + [ + 51569302, + 55653410 + ], + [ + 62916765, + 28895839 + ], + [ + 73177123, + 32034179 + ], + [ + 94137544, + 62479422 + ], + [ + 56354763, + 82340100 + ], + [ + 88840316, + 84626073 + ], + [ + 98942081, + 22195853 + ], + [ + 63399136, + 33854228 + ], + [ + 65508838, + 94108171 + ], + [ + 56173986, + 74496261 + ], + [ + 54596923, + 47591957 + ], + [ + 11640094, + 2006837 + ], + [ + 62039756, + 44606112 + ], + [ + 42320702, + 13380600 + ], + [ + 40865585, + 92037003 + ], + [ + 12608553, + 30237394 + ], + [ + 11778051, + 31381802 + ], + [ + 51641062, + 24266466 + ], + [ + 44716708, + 2256086 + ], + [ + 75496285, + 79446195 + ], + [ + 82940416, + 63989939 + ], + [ + 968911, + 60933376 + ], + [ + 59464383, + 63619149 + ], + [ + 58741332, + 84764762 + ], + [ + 61124064, + 76569114 + ], + [ + 93338439, + 85580146 + ], + [ + 31406774, + 76580227 + ], + [ + 77745500, + 41752404 + ], + [ + 156171, + 17217226 + ], + [ + 94162942, + 35893577 + ], + [ + 96219966, + 49670537 + ], + [ + 11765877, + 98370874 + ], + [ + 37788840, + 3830382 + ], + [ + 62364820, + 11539408 + ], + [ + 81420129, + 34906 + ], + [ + 3721349, + 57336818 + ], + [ + 77442180, + 12058626 + ], + [ + 90403939, + 26634294 + ], + [ + 87142442, + 88932732 + ], + [ + 84721347, + 40583142 + ], + [ + 79541162, + 63697827 + ], + [ + 52831655, + 67585493 + ], + [ + 9267784, + 1201115 + ], + [ + 92996180, + 92284395 + ], + [ + 37499018, + 78722022 + ], + [ + 15408121, + 58883256 + ], + [ + 50391228, + 357330 + ], + [ + 8193871, + 39599652 + ], + [ + 5392611, + 15485438 + ], + [ + 62972863, + 6629946 + ], + [ + 9423152, + 60232176 + ], + [ + 94342517, + 25257089 + ], + [ + 5985195, + 78913141 + ], + [ + 92754984, + 37462167 + ], + [ + 41920653, + 45005052 + ], + [ + 3302497, + 52134963 + ], + [ + 42702249, + 57033678 + ], + [ + 7102189, + 5325184 + ], + [ + 44483360, + 58799840 + ], + [ + 62427722, + 76277570 + ], + [ + 80952926, + 82369155 + ], + [ + 47620911, + 84430017 + ], + [ + 9837191, + 62298301 + ], + [ + 95934077, + 52474928 + ], + [ + 70582401, + 43487747 + ], + [ + 28672624, + 9462267 + ], + [ + 75505152, + 92962184 + ], + [ + 49114237, + 30126769 + ], + [ + 67816666, + 45820635 + ], + [ + 99087010, + 99411226 + ], + [ + 82963018, + 15491193 + ], + [ + 5330273, + 43491298 + ], + [ + 60354906, + 37373398 + ], + [ + 9386340, + 16147844 + ], + [ + 13246962, + 58719742 + ], + [ + 25764362, + 47023027 + ], + [ + 57353812, + 84854061 + ], + [ + 96727047, + 74250341 + ], + [ + 76292643, + 35065293 + ], + [ + 77871811, + 34899799 + ], + [ + 19232806, + 43159494 + ], + [ + 11816376, + 41381790 + ], + [ + 48473027, + 22114229 + ], + [ + 68095020, + 62118558 + ], + [ + 98156750, + 23417666 + ], + [ + 37556024, + 17228380 + ], + [ + 83508483, + 65507370 + ], + [ + 60966362, + 14092089 + ], + [ + 17221767, + 97565670 + ], + [ + 89977389, + 99688874 + ], + [ + 63040868, + 31760358 + ], + [ + 2316007, + 66892267 + ], + [ + 93401729, + 36220109 + ], + [ + 85770414, + 82959953 + ], + [ + 4839799, + 42266861 + ], + [ + 98008037, + 97161694 + ], + [ + 26443705, + 72228957 + ], + [ + 92981073, + 45591804 + ], + [ + 87669452, + 46874948 + ], + [ + 6713567, + 84566487 + ], + [ + 20962882, + 10999524 + ], + [ + 95328232, + 28101258 + ], + [ + 55658155, + 52257017 + ], + [ + 78420968, + 38952128 + ], + [ + 96382750, + 91554832 + ], + [ + 82863726, + 97284895 + ], + [ + 44227631, + 46839943 + ], + [ + 63802570, + 37619434 + ], + [ + 26569567, + 94349496 + ], + [ + 60653994, + 85718975 + ], + [ + 22025326, + 59299777 + ], + [ + 94496011, + 77987023 + ], + [ + 4055012, + 14891422 + ], + [ + 30697233, + 53835301 + ], + [ + 39270710, + 45598093 + ], + [ + 71919045, + 49895960 + ], + [ + 5285430, + 89415748 + ], + [ + 68246978, + 67393002 + ], + [ + 56301942, + 16278753 + ], + [ + 39564049, + 39285276 + ], + [ + 90974111, + 2408306 + ], + [ + 12559013, + 15257856 + ], + [ + 3559341, + 36845972 + ], + [ + 89693915, + 17778787 + ], + [ + 83271880, + 15532363 + ], + [ + 43802416, + 40373120 + ], + [ + 90184747, + 5020876 + ], + [ + 26929253, + 68597946 + ], + [ + 2678363, + 23698172 + ], + [ + 10634743, + 21788634 + ], + [ + 30380982, + 69388759 + ], + [ + 52516099, + 4965058 + ], + [ + 48477517, + 68453544 + ], + [ + 11795642, + 98105855 + ], + [ + 5983798, + 74491742 + ], + [ + 62615630, + 63376467 + ], + [ + 81380974, + 115734 + ], + [ + 43066230, + 31968407 + ], + [ + 94384848, + 63433885 + ], + [ + 34325971, + 24341232 + ], + [ + 45446970, + 76984211 + ], + [ + 37579584, + 35377028 + ], + [ + 7444150, + 60076116 + ], + [ + 72790446, + 28841543 + ], + [ + 40775599, + 84187204 + ], + [ + 27833947, + 76810310 + ], + [ + 90043621, + 16616481 + ], + [ + 99962581, + 71991652 + ], + [ + 80467040, + 11088788 + ], + [ + 81875586, + 5268210 + ], + [ + 64138773, + 79371491 + ], + [ + 62620023, + 24907939 + ], + [ + 47547134, + 19241937 + ], + [ + 28206486, + 19447409 + ], + [ + 30846038, + 6684854 + ], + [ + 30100973, + 72337251 + ], + [ + 36303852, + 70853332 + ], + [ + 20690491, + 77027739 + ], + [ + 53911438, + 37704055 + ], + [ + 71753262, + 38777492 + ], + [ + 36564192, + 35493995 + ], + [ + 77660744, + 11467784 + ], + [ + 97050164, + 23657233 + ], + [ + 87416839, + 91812605 + ], + [ + 45562110, + 97417736 + ], + [ + 5576717, + 40420813 + ], + [ + 51413588, + 97947165 + ], + [ + 40771562, + 86581071 + ], + [ + 51532591, + 868593 + ], + [ + 5707658, + 77846329 + ], + [ + 77616113, + 26549960 + ], + [ + 59954521, + 44409895 + ], + [ + 77360000, + 66124791 + ], + [ + 22348034, + 50593737 + ], + [ + 21590971, + 70958542 + ], + [ + 95605871, + 80866266 + ], + [ + 4075713, + 64653311 + ], + [ + 70199246, + 48403546 + ], + [ + 17136265, + 859491 + ], + [ + 61047280, + 89959161 + ], + [ + 1403571, + 91259059 + ], + [ + 47393722, + 6205986 + ], + [ + 33107227, + 23167100 + ], + [ + 77221364, + 4964048 + ], + [ + 11633090, + 55266007 + ], + [ + 7529085, + 5044956 + ], + [ + 96683445, + 23297290 + ], + [ + 18067032, + 11908114 + ], + [ + 48975682, + 92774403 + ], + [ + 67587571, + 36520164 + ], + [ + 73436490, + 1703362 + ], + [ + 37635414, + 69202794 + ], + [ + 5463837, + 40123640 + ], + [ + 29953396, + 16073371 + ], + [ + 53792112, + 50559231 + ], + [ + 3875650, + 44707618 + ], + [ + 52863329, + 85308263 + ], + [ + 7136029, + 47103263 + ], + [ + 29499684, + 91264396 + ], + [ + 40674451, + 62357867 + ], + [ + 73657877, + 73167972 + ], + [ + 81389480, + 36942193 + ], + [ + 28233466, + 2559297 + ], + [ + 95130918, + 70713838 + ], + [ + 81776305, + 99029892 + ], + [ + 57692587, + 73637268 + ], + [ + 57764599, + 8971188 + ], + [ + 33679650, + 15686398 + ], + [ + 62038328, + 54624613 + ], + [ + 52298504, + 17386830 + ], + [ + 41956282, + 66611194 + ], + [ + 30045781, + 8048347 + ], + [ + 11430138, + 13301783 + ], + [ + 47897975, + 60929095 + ], + [ + 3566958, + 57647164 + ], + [ + 24560504, + 39988280 + ], + [ + 33060108, + 25603231 + ], + [ + 78622526, + 56246138 + ], + [ + 19278574, + 55551659 + ], + [ + 57640245, + 21901108 + ], + [ + 40958980, + 3836592 + ], + [ + 79183983, + 64985088 + ], + [ + 15955167, + 47460904 + ], + [ + 70908260, + 88872204 + ], + [ + 63022906, + 15126181 + ], + [ + 87760727, + 30570782 + ], + [ + 61848837, + 77629182 + ], + [ + 74569211, + 14207985 + ], + [ + 58453650, + 30434726 + ], + [ + 15199215, + 26046869 + ], + [ + 63791449, + 28751458 + ], + [ + 60641355, + 48973916 + ], + [ + 13818948, + 22609493 + ], + [ + 70220068, + 13620012 + ], + [ + 10249087, + 7210598 + ], + [ + 12432352, + 22736684 + ], + [ + 75533154, + 87476434 + ], + [ + 82119655, + 7449293 + ], + [ + 40832163, + 18019069 + ], + [ + 58371092, + 79096565 + ], + [ + 34803117, + 34081346 + ], + [ + 29114210, + 7132986 + ], + [ + 59679141, + 90888419 + ], + [ + 23191029, + 91423699 + ], + [ + 16639342, + 80728071 + ], + [ + 32000340, + 78443094 + ], + [ + 66483798, + 39186801 + ], + [ + 99489530, + 77994315 + ], + [ + 76044840, + 42798560 + ], + [ + 72555523, + 86129936 + ], + [ + 77185092, + 87737669 + ], + [ + 47466348, + 83133417 + ], + [ + 82185604, + 49614506 + ], + [ + 14615979, + 62813385 + ], + [ + 1069901, + 74217177 + ], + [ + 86055807, + 32670936 + ], + [ + 99013813, + 97488373 + ], + [ + 91836634, + 36201668 + ], + [ + 68188834, + 65338072 + ], + [ + 28973057, + 52839822 + ], + [ + 40899082, + 8595717 + ], + [ + 83953913, + 31160370 + ], + [ + 34377733, + 16332392 + ], + [ + 77571757, + 62279920 + ], + [ + 13429651, + 13868750 + ], + [ + 81024671, + 98913581 + ], + [ + 21371893, + 57492088 + ], + [ + 94943917, + 9105027 + ], + [ + 60040409, + 63602613 + ], + [ + 5550547, + 6873153 + ], + [ + 77555495, + 48493833 + ], + [ + 34956613, + 68096566 + ], + [ + 95164516, + 29227142 + ], + [ + 96049384, + 75197843 + ], + [ + 83741301, + 11223416 + ], + [ + 79582174, + 57581898 + ], + [ + 189829, + 23072347 + ], + [ + 22935943, + 21360970 + ], + [ + 48306469, + 73288490 + ], + [ + 98089625, + 97730170 + ], + [ + 88525488, + 21713779 + ], + [ + 36659832, + 60328752 + ], + [ + 62670961, + 69742880 + ], + [ + 17186618, + 7217260 + ], + [ + 3271111, + 56372855 + ], + [ + 77224360, + 72922616 + ], + [ + 92377118, + 68648047 + ], + [ + 78974082, + 77952142 + ], + [ + 89117467, + 9928857 + ], + [ + 2797236, + 70172848 + ], + [ + 60829331, + 80640707 + ], + [ + 75928579, + 17506616 + ], + [ + 42459439, + 14964501 + ], + [ + 28096870, + 66505190 + ], + [ + 56962428, + 8644793 + ], + [ + 88651021, + 23940526 + ], + [ + 83381952, + 9088926 + ], + [ + 11510195, + 48301879 + ], + [ + 44705737, + 90421455 + ], + [ + 82274533, + 40948637 + ], + [ + 3773647, + 59459232 + ], + [ + 30887191, + 6840791 + ], + [ + 11520557, + 71826976 + ], + [ + 69258568, + 11564839 + ], + [ + 27943552, + 85591238 + ], + [ + 114837, + 41422368 + ], + [ + 32073797, + 43560437 + ], + [ + 73066229, + 81490793 + ], + [ + 51337789, + 31131352 + ], + [ + 45259474, + 64579978 + ], + [ + 5321600, + 66680994 + ], + [ + 18234038, + 68281949 + ], + [ + 55081338, + 43727151 + ], + [ + 64765262, + 42139362 + ], + [ + 3968291, + 10553609 + ], + [ + 39655797, + 31612776 + ], + [ + 69582930, + 93693860 + ], + [ + 10287337, + 26367706 + ], + [ + 57558948, + 91633006 + ], + [ + 73990958, + 62898626 + ], + [ + 28500543, + 72299705 + ], + [ + 47219489, + 74495151 + ], + [ + 11777666, + 95984254 + ], + [ + 27557849, + 19852353 + ], + [ + 20973670, + 1418979 + ], + [ + 7674255, + 3352619 + ], + [ + 37043860, + 72410541 + ], + [ + 71816292, + 84504640 + ], + [ + 71258347, + 25978095 + ], + [ + 63403426, + 58014429 + ], + [ + 48676126, + 91306241 + ], + [ + 47791680, + 76923373 + ], + [ + 65225726, + 71309888 + ], + [ + 11058995, + 35656721 + ], + [ + 79000135, + 91738022 + ], + [ + 46199000, + 9265206 + ], + [ + 13383732, + 64340459 + ], + [ + 61772897, + 16901372 + ], + [ + 55955602, + 96146676 + ], + [ + 4120637, + 17661491 + ], + [ + 1843992, + 23339397 + ], + [ + 54483872, + 37900908 + ], + [ + 45422922, + 2454999 + ], + [ + 25059532, + 30147027 + ], + [ + 115442, + 81930016 + ], + [ + 32589222, + 45240503 + ], + [ + 58264852, + 31081029 + ], + [ + 35445251, + 84384272 + ], + [ + 28719261, + 2952405 + ], + [ + 99253145, + 27625591 + ], + [ + 105793, + 19381239 + ], + [ + 99482236, + 8316046 + ], + [ + 29267292, + 43578902 + ], + [ + 22554236, + 36999447 + ], + [ + 21972783, + 32940423 + ], + [ + 56998796, + 38361810 + ], + [ + 9899067, + 31319221 + ], + [ + 74011631, + 22705209 + ], + [ + 57190539, + 81896176 + ], + [ + 58159867, + 65261224 + ], + [ + 77472441, + 32548078 + ], + [ + 47204745, + 23898432 + ], + [ + 67684741, + 57273300 + ], + [ + 47686313, + 40004149 + ], + [ + 58077304, + 72402546 + ], + [ + 74450521, + 56844681 + ], + [ + 21462764, + 23644372 + ], + [ + 28073926, + 22850154 + ], + [ + 80155740, + 12382165 + ], + [ + 8465457, + 77952578 + ], + [ + 71569245, + 26058353 + ], + [ + 64834877, + 34536668 + ], + [ + 74914995, + 83141962 + ], + [ + 21496492, + 55056313 + ], + [ + 61213454, + 64734188 + ], + [ + 1589168, + 60717822 + ], + [ + 40085596, + 33298866 + ], + [ + 19187639, + 23199682 + ], + [ + 79302910, + 25057869 + ], + [ + 82209052, + 96086112 + ], + [ + 65531159, + 20032596 + ], + [ + 91061020, + 27104135 + ], + [ + 82721275, + 23965446 + ], + [ + 51458460, + 49519710 + ], + [ + 16266421, + 79971169 + ], + [ + 18419707, + 82619644 + ], + [ + 61457629, + 94035974 + ], + [ + 66991424, + 21501126 + ], + [ + 99293312, + 22710930 + ], + [ + 8649699, + 66542835 + ], + [ + 98290922, + 44631844 + ], + [ + 10278818, + 65178121 + ], + [ + 15464816, + 28436749 + ], + [ + 63249053, + 75073702 + ], + [ + 4656175, + 62715076 + ], + [ + 78757804, + 56419843 + ], + [ + 31126900, + 14596479 + ], + [ + 69035375, + 57298142 + ], + [ + 41528955, + 1287620 + ], + [ + 32353546, + 99811309 + ], + [ + 84129747, + 47965727 + ], + [ + 86096397, + 87266845 + ], + [ + 11728468, + 62213279 + ], + [ + 6809525, + 80252095 + ], + [ + 62476038, + 50866951 + ], + [ + 33006280, + 36587217 + ], + [ + 75867005, + 29791633 + ], + [ + 19873699, + 93032970 + ], + [ + 74456920, + 94707576 + ], + [ + 28848816, + 75319330 + ], + [ + 4793893, + 77767225 + ], + [ + 1748412, + 24716367 + ], + [ + 9573224, + 78002276 + ], + [ + 95802622, + 45762344 + ], + [ + 20911302, + 3006022 + ], + [ + 48396581, + 30692308 + ], + [ + 5568841, + 27455502 + ], + [ + 65213272, + 98464742 + ], + [ + 49910765, + 10026989 + ], + [ + 78582268, + 54185501 + ], + [ + 4597209, + 78972712 + ], + [ + 45643043, + 79197580 + ], + [ + 62743885, + 51817021 + ], + [ + 39379135, + 32494843 + ], + [ + 48773569, + 58731994 + ], + [ + 51555780, + 56052970 + ], + [ + 16521979, + 82776286 + ], + [ + 5729385, + 38555054 + ], + [ + 40294521, + 40194823 + ], + [ + 88582388, + 15312822 + ], + [ + 23968790, + 91395605 + ], + [ + 55790727, + 42765120 + ], + [ + 20594926, + 26581198 + ], + [ + 23997277, + 86922655 + ], + [ + 68904971, + 9640903 + ], + [ + 44868409, + 73000944 + ], + [ + 47462084, + 93564332 + ], + [ + 1105286, + 1215495 + ], + [ + 32573482, + 29153978 + ], + [ + 29381480, + 83968537 + ], + [ + 78975359, + 55725808 + ], + [ + 6983701, + 56228570 + ], + [ + 12358142, + 70289572 + ], + [ + 19886523, + 68153396 + ], + [ + 18294739, + 54030805 + ], + [ + 88343943, + 80755901 + ], + [ + 77906593, + 42988911 + ], + [ + 53937398, + 11603471 + ], + [ + 36847153, + 88603506 + ], + [ + 64269065, + 56602347 + ], + [ + 92826971, + 93050402 + ], + [ + 82271627, + 35021563 + ], + [ + 80993029, + 96695268 + ], + [ + 97175230, + 2960973 + ], + [ + 83541152, + 38082370 + ], + [ + 49034109, + 42287160 + ], + [ + 51814983, + 12892838 + ], + [ + 37536535, + 62029706 + ], + [ + 73311586, + 27925837 + ], + [ + 15953879, + 89318411 + ], + [ + 69204346, + 54378301 + ], + [ + 4468303, + 32962820 + ], + [ + 64037620, + 20163184 + ], + [ + 89324790, + 43981668 + ], + [ + 99949298, + 79719142 + ], + [ + 42060198, + 19772178 + ], + [ + 24478045, + 62770188 + ], + [ + 71328627, + 67184689 + ], + [ + 92047593, + 98512476 + ], + [ + 8374045, + 80258786 + ], + [ + 75810953, + 68226631 + ], + [ + 25033676, + 31660833 + ], + [ + 85350871, + 8872942 + ], + [ + 96498086, + 96048406 + ], + [ + 88842136, + 7142907 + ], + [ + 38596862, + 54472351 + ], + [ + 82539241, + 61577518 + ], + [ + 55378958, + 55265801 + ], + [ + 4669394, + 26585499 + ], + [ + 8756108, + 75040141 + ], + [ + 51218351, + 99328454 + ], + [ + 55312446, + 53827718 + ], + [ + 40122091, + 93175423 + ], + [ + 90912437, + 2655540 + ], + [ + 24667915, + 93642004 + ], + [ + 22165504, + 2727860 + ], + [ + 692645, + 13386591 + ], + [ + 51896589, + 77043761 + ], + [ + 60368467, + 10924204 + ], + [ + 36928349, + 31185254 + ], + [ + 85279752, + 98593741 + ], + [ + 24376099, + 5055347 + ], + [ + 71149485, + 16850619 + ], + [ + 53702814, + 16621146 + ], + [ + 27216119, + 94787608 + ], + [ + 43496570, + 66042204 + ], + [ + 6535089, + 95366305 + ], + [ + 86013870, + 90310908 + ], + [ + 51639679, + 29362952 + ], + [ + 8863223, + 66235348 + ], + [ + 2200904, + 89503013 + ], + [ + 51010387, + 95588539 + ], + [ + 89381026, + 48237884 + ], + [ + 63871360, + 68049992 + ], + [ + 82450249, + 98395900 + ], + [ + 43384508, + 43549400 + ], + [ + 46692232, + 17604275 + ], + [ + 49807480, + 84785736 + ], + [ + 58447691, + 79264031 + ], + [ + 62664260, + 4069660 + ], + [ + 54341537, + 38879000 + ], + [ + 65212809, + 18601155 + ], + [ + 76588514, + 87074233 + ], + [ + 98124883, + 90559684 + ], + [ + 20384045, + 8137019 + ], + [ + 75752015, + 33772641 + ], + [ + 10732783, + 29027658 + ], + [ + 7584914, + 97361045 + ], + [ + 94475395, + 29593777 + ], + [ + 57513808, + 44618237 + ], + [ + 44137604, + 77748462 + ], + [ + 63159464, + 3111438 + ], + [ + 18017667, + 59436623 + ], + [ + 47478186, + 55794519 + ], + [ + 96756277, + 33389663 + ], + [ + 37370991, + 13161743 + ], + [ + 22962278, + 94260732 + ], + [ + 69175187, + 55627773 + ], + [ + 73399088, + 67080874 + ], + [ + 77550550, + 12401440 + ], + [ + 74924638, + 21603253 + ], + [ + 71756184, + 9314218 + ], + [ + 29572181, + 11642743 + ], + [ + 63661901, + 91793736 + ], + [ + 88109156, + 98478603 + ], + [ + 34247009, + 68365822 + ], + [ + 17186264, + 99953417 + ], + [ + 73524967, + 45842631 + ], + [ + 57013183, + 79208998 + ], + [ + 70612144, + 54714699 + ], + [ + 69662721, + 99455684 + ], + [ + 40783649, + 4077585 + ], + [ + 7743015, + 99502137 + ], + [ + 15693512, + 15570190 + ], + [ + 93401862, + 36891075 + ], + [ + 76164119, + 23529299 + ], + [ + 88369442, + 39199963 + ], + [ + 37007701, + 20977650 + ], + [ + 76326040, + 87425275 + ], + [ + 61608075, + 28764562 + ], + [ + 27186332, + 97551822 + ], + [ + 49873516, + 11037069 + ], + [ + 93275374, + 96094652 + ], + [ + 74491138, + 62939772 + ], + [ + 17559904, + 34564732 + ], + [ + 10548301, + 58235366 + ], + [ + 58082922, + 14398385 + ], + [ + 62976195, + 88755952 + ], + [ + 73392117, + 86124253 + ], + [ + 40069967, + 95321433 + ], + [ + 97861353, + 74400183 + ], + [ + 51962228, + 1228118 + ], + [ + 32700596, + 19435846 + ], + [ + 43058225, + 57087229 + ], + [ + 54441306, + 25261635 + ], + [ + 69663657, + 54676119 + ], + [ + 25643914, + 11334727 + ], + [ + 60442977, + 33037222 + ], + [ + 34830717, + 78982566 + ], + [ + 31941551, + 38497238 + ], + [ + 8956408, + 56970834 + ], + [ + 88882258, + 13736688 + ], + [ + 19272802, + 41180559 + ], + [ + 75923861, + 92789145 + ], + [ + 75446710, + 39584425 + ], + [ + 33992755, + 16725143 + ], + [ + 91708759, + 87158260 + ], + [ + 84601393, + 41002206 + ], + [ + 40901867, + 12687665 + ], + [ + 31360270, + 28302388 + ], + [ + 94187515, + 37055483 + ], + [ + 9015150, + 72927354 + ], + [ + 87125663, + 2680417 + ], + [ + 81398979, + 84372858 + ], + [ + 78994068, + 46534112 + ], + [ + 836279, + 28434301 + ], + [ + 53293204, + 17554897 + ], + [ + 41032768, + 99107883 + ], + [ + 22725028, + 43470050 + ], + [ + 92870338, + 79109176 + ], + [ + 26929411, + 46919850 + ], + [ + 44591234, + 61809359 + ], + [ + 42013984, + 14604403 + ], + [ + 94839589, + 26956762 + ], + [ + 4017161, + 61395573 + ], + [ + 98350128, + 62335736 + ], + [ + 56648566, + 15672179 + ], + [ + 59151874, + 54108019 + ], + [ + 8434486, + 49901202 + ], + [ + 19473016, + 52086130 + ], + [ + 26408451, + 85407704 + ], + [ + 26661507, + 69018165 + ], + [ + 61626552, + 6539799 + ], + [ + 22020647, + 68890250 + ], + [ + 22187905, + 60787175 + ], + [ + 4234282, + 15205781 + ], + [ + 91599204, + 90876554 + ], + [ + 95005232, + 47162857 + ], + [ + 8420051, + 75114681 + ], + [ + 7279398, + 8737585 + ], + [ + 18062992, + 43573845 + ], + [ + 94357617, + 97851427 + ], + [ + 36578129, + 63832843 + ], + [ + 95077385, + 87294678 + ], + [ + 44116962, + 57127134 + ], + [ + 25102774, + 28235990 + ], + [ + 95270739, + 51127447 + ], + [ + 60597949, + 93449616 + ], + [ + 91095555, + 51284709 + ], + [ + 29736017, + 62424797 + ], + [ + 29299904, + 46051173 + ], + [ + 85877087, + 55572127 + ], + [ + 53362801, + 23149210 + ], + [ + 39423267, + 58441055 + ], + [ + 57678476, + 27181455 + ], + [ + 92756760, + 70986579 + ], + [ + 9348138, + 63259581 + ], + [ + 92799519, + 83897833 + ], + [ + 86779279, + 43791152 + ], + [ + 6101993, + 7195337 + ], + [ + 72092549, + 3894730 + ], + [ + 8417058, + 93435357 + ], + [ + 13902922, + 23645163 + ], + [ + 59522545, + 36994191 + ], + [ + 42513380, + 13618637 + ], + [ + 99585326, + 10493817 + ], + [ + 46366841, + 15160551 + ], + [ + 22808267, + 21451743 + ], + [ + 81541056, + 44994437 + ], + [ + 79968775, + 10555654 + ], + [ + 2275445, + 98727291 + ], + [ + 86805752, + 57001828 + ], + [ + 54027736, + 52791515 + ], + [ + 80582136, + 16972841 + ], + [ + 92211534, + 19303753 + ], + [ + 9844320, + 86667692 + ], + [ + 41799598, + 93579120 + ], + [ + 99150527, + 45993505 + ], + [ + 23752088, + 93247497 + ], + [ + 99260965, + 90441832 + ], + [ + 78031117, + 31426032 + ], + [ + 90489556, + 85489901 + ], + [ + 91301415, + 55427353 + ], + [ + 55698755, + 8702025 + ], + [ + 23854916, + 54330846 + ], + [ + 55525368, + 31349486 + ], + [ + 58989209, + 77775468 + ], + [ + 33353225, + 64512361 + ], + [ + 48173155, + 6463742 + ], + [ + 84589286, + 62188061 + ], + [ + 54098199, + 71756126 + ], + [ + 86324794, + 17828480 + ], + [ + 648986, + 17882052 + ], + [ + 2283021, + 7498495 + ], + [ + 94670494, + 13488819 + ], + [ + 52517531, + 92167782 + ], + [ + 11574026, + 64925090 + ], + [ + 73898443, + 25552094 + ], + [ + 22730645, + 69773499 + ], + [ + 54532438, + 86645352 + ], + [ + 98587970, + 60701005 + ], + [ + 75030318, + 72672177 + ], + [ + 5713501, + 55317468 + ], + [ + 60800407, + 56051261 + ], + [ + 52171538, + 96179797 + ], + [ + 49325648, + 40993056 + ], + [ + 22952326, + 58256838 + ], + [ + 33365893, + 68763997 + ], + [ + 58610399, + 51006104 + ], + [ + 96968252, + 95995860 + ], + [ + 50004616, + 70361112 + ], + [ + 19976990, + 43576432 + ], + [ + 80948490, + 85921118 + ], + [ + 46832560, + 84425631 + ], + [ + 84529977, + 51159894 + ], + [ + 65320491, + 3069154 + ], + [ + 30402245, + 43331019 + ], + [ + 96548884, + 16126905 + ], + [ + 68720489, + 51792829 + ], + [ + 11107488, + 96464281 + ], + [ + 24839971, + 78689177 + ], + [ + 1157249, + 72774970 + ], + [ + 9267403, + 32410812 + ], + [ + 95780480, + 5598517 + ], + [ + 73607918, + 76850817 + ], + [ + 14980354, + 70808445 + ], + [ + 79076470, + 91543143 + ], + [ + 48450866, + 46281309 + ], + [ + 11975008, + 25779381 + ], + [ + 59873434, + 676607 + ], + [ + 91426336, + 72693793 + ], + [ + 63538609, + 20697479 + ], + [ + 87213999, + 31064182 + ], + [ + 11940551, + 3969284 + ], + [ + 91715872, + 51030795 + ], + [ + 59618373, + 33589766 + ], + [ + 22739449, + 30113175 + ], + [ + 14319308, + 43563664 + ], + [ + 71608570, + 45535864 + ], + [ + 21523985, + 71672962 + ], + [ + 25561469, + 47588391 + ], + [ + 1982702, + 96846527 + ], + [ + 2848876, + 86570282 + ], + [ + 98641659, + 83875733 + ], + [ + 29922183, + 70079989 + ], + [ + 57639089, + 62780934 + ], + [ + 61032114, + 57247913 + ], + [ + 7739042, + 13657252 + ], + [ + 30653741, + 32352726 + ], + [ + 11216171, + 55127139 + ], + [ + 94176713, + 22346212 + ], + [ + 59092524, + 12320 + ], + [ + 14389546, + 49343701 + ], + [ + 13298179, + 31355903 + ], + [ + 12142221, + 84309661 + ], + [ + 82529882, + 15127862 + ], + [ + 843521, + 51205956 + ], + [ + 41222022, + 11081828 + ], + [ + 84708179, + 19913463 + ], + [ + 51012115, + 65121164 + ], + [ + 42571453, + 53792122 + ], + [ + 46709889, + 93137412 + ], + [ + 46362760, + 37510503 + ], + [ + 95716558, + 22008719 + ], + [ + 86814318, + 92669655 + ], + [ + 16700657, + 54327393 + ], + [ + 96260490, + 71845511 + ], + [ + 10881308, + 18945018 + ], + [ + 21405747, + 43085061 + ], + [ + 24328360, + 94199092 + ], + [ + 54321198, + 76786032 + ], + [ + 40828471, + 78791277 + ], + [ + 19923181, + 13887000 + ], + [ + 41381302, + 40891097 + ], + [ + 29382042, + 34830850 + ], + [ + 37545388, + 44325172 + ], + [ + 68184312, + 73351259 + ], + [ + 70751657, + 99634662 + ], + [ + 19127171, + 37447709 + ], + [ + 64707787, + 51915695 + ], + [ + 33902593, + 34418315 + ], + [ + 86794062, + 32689202 + ], + [ + 43438169, + 42490839 + ], + [ + 65941223, + 74187198 + ], + [ + 31459445, + 85087182 + ], + [ + 51591136, + 54659453 + ], + [ + 33176648, + 22017970 + ], + [ + 99515728, + 2633782 + ], + [ + 47447477, + 16521359 + ], + [ + 58199707, + 23123731 + ], + [ + 19154359, + 60534251 + ], + [ + 9267794, + 69621886 + ], + [ + 63356220, + 85796688 + ], + [ + 44616662, + 3896326 + ], + [ + 14979426, + 88914450 + ], + [ + 16318785, + 33584260 + ], + [ + 8111390, + 8074611 + ], + [ + 7233996, + 49335549 + ], + [ + 35141948, + 26038696 + ], + [ + 5069091, + 78735761 + ], + [ + 54095380, + 64883477 + ], + [ + 38867257, + 71420396 + ], + [ + 72541210, + 78593643 + ], + [ + 8279862, + 69807211 + ], + [ + 26953764, + 76827902 + ], + [ + 65668335, + 95986857 + ], + [ + 53192921, + 69232209 + ], + [ + 69720685, + 29848532 + ], + [ + 83442917, + 71674778 + ], + [ + 76027657, + 18925539 + ], + [ + 7145246, + 12737682 + ], + [ + 74693405, + 27576108 + ], + [ + 76660449, + 92092255 + ], + [ + 95262523, + 73252292 + ], + [ + 60514648, + 42406703 + ], + [ + 77825794, + 47242948 + ], + [ + 89248919, + 91812968 + ], + [ + 66776081, + 43988258 + ], + [ + 53238889, + 87041971 + ], + [ + 44803624, + 14433359 + ], + [ + 87393928, + 69839037 + ], + [ + 18351940, + 44894981 + ], + [ + 60839607, + 31043202 + ], + [ + 35474208, + 7349757 + ], + [ + 85271868, + 69491871 + ], + [ + 74205519, + 50796100 + ], + [ + 95592076, + 10228074 + ], + [ + 91857625, + 9048657 + ], + [ + 9414025, + 78119764 + ], + [ + 55646626, + 42014249 + ], + [ + 55399264, + 65803118 + ], + [ + 72626116, + 75036959 + ], + [ + 7299108, + 88253392 + ], + [ + 26256248, + 66186410 + ], + [ + 20829385, + 68912608 + ], + [ + 73114289, + 71732932 + ], + [ + 4430999, + 19790009 + ], + [ + 3883115, + 4744166 + ], + [ + 25302034, + 86789422 + ], + [ + 12969183, + 31250845 + ], + [ + 3652483, + 81527611 + ], + [ + 34025677, + 4450841 + ], + [ + 9348666, + 65833928 + ], + [ + 6186480, + 72328966 + ], + [ + 61979721, + 68021493 + ], + [ + 11722099, + 46766572 + ], + [ + 36043048, + 97617115 + ], + [ + 67254834, + 86068927 + ], + [ + 16028318, + 78992821 + ], + [ + 47574408, + 22588178 + ], + [ + 12937618, + 9781225 + ], + [ + 48318534, + 23456541 + ], + [ + 52283178, + 62480507 + ], + [ + 4978982, + 49911481 + ], + [ + 60592734, + 88624827 + ], + [ + 99245465, + 59103154 + ], + [ + 84906911, + 53029356 + ], + [ + 23526896, + 25542106 + ], + [ + 47912177, + 56261786 + ], + [ + 22972103, + 7618139 + ], + [ + 18380203, + 85625219 + ], + [ + 59409988, + 56742051 + ], + [ + 77024086, + 1254535 + ], + [ + 87419593, + 36965628 + ], + [ + 18088681, + 37565550 + ], + [ + 83178156, + 40209169 + ], + [ + 99502594, + 86484215 + ], + [ + 8098166, + 93009400 + ], + [ + 42210293, + 63654136 + ], + [ + 59529233, + 98185432 + ], + [ + 62429486, + 49402525 + ], + [ + 43680165, + 70061987 + ], + [ + 32796259, + 93068918 + ], + [ + 94844108, + 55469990 + ], + [ + 22046915, + 29951211 + ], + [ + 91735721, + 75425498 + ], + [ + 25105480, + 71005820 + ], + [ + 46735592, + 52111201 + ], + [ + 34322548, + 66510085 + ], + [ + 11187188, + 84411172 + ], + [ + 4662487, + 64080339 + ], + [ + 54810698, + 41675866 + ], + [ + 4045873, + 46087082 + ], + [ + 53246582, + 64287948 + ], + [ + 90236680, + 5321181 + ], + [ + 61168811, + 73018183 + ], + [ + 77667882, + 55432281 + ], + [ + 9387647, + 79102070 + ], + [ + 24637946, + 32210181 + ], + [ + 82850510, + 74966913 + ], + [ + 1701927, + 75101777 + ], + [ + 44334509, + 75094624 + ], + [ + 68112621, + 94818551 + ], + [ + 13164494, + 65949565 + ], + [ + 47242643, + 75243543 + ], + [ + 83565151, + 84292881 + ], + [ + 43784024, + 42280750 + ], + [ + 79517065, + 57895835 + ], + [ + 57668605, + 46946100 + ], + [ + 62333615, + 51604785 + ], + [ + 57279280, + 97042011 + ], + [ + 86957096, + 58735785 + ], + [ + 78214712, + 35119368 + ], + [ + 29596329, + 71618329 + ], + [ + 97020186, + 37344769 + ], + [ + 74350970, + 13811103 + ], + [ + 76281432, + 73822712 + ], + [ + 39270202, + 70221352 + ], + [ + 1599694, + 4102090 + ], + [ + 27159390, + 98686735 + ], + [ + 54449715, + 44561162 + ], + [ + 28153504, + 20713965 + ], + [ + 80902975, + 368226 + ], + [ + 37012127, + 20767239 + ], + [ + 33604790, + 66775131 + ], + [ + 79869876, + 80393193 + ], + [ + 10454021, + 44943622 + ], + [ + 46939247, + 12866884 + ], + [ + 23833742, + 94992341 + ], + [ + 64657420, + 32524918 + ], + [ + 55131228, + 19713391 + ], + [ + 13517945, + 47860819 + ], + [ + 30500585, + 73689432 + ], + [ + 29347644, + 62711819 + ], + [ + 32690912, + 71344172 + ], + [ + 84020353, + 20726646 + ], + [ + 29839916, + 10707011 + ], + [ + 11337809, + 32495725 + ], + [ + 53376301, + 6639310 + ], + [ + 80793203, + 6635 + ], + [ + 57124977, + 99645217 + ], + [ + 77011331, + 20769307 + ], + [ + 68786519, + 43869705 + ], + [ + 483260, + 77842223 + ], + [ + 1312990, + 43574200 + ], + [ + 99724925, + 85762755 + ], + [ + 79494744, + 67888382 + ], + [ + 36828062, + 34727310 + ], + [ + 57560530, + 66291568 + ], + [ + 43272312, + 65845676 + ], + [ + 87711135, + 61972757 + ], + [ + 73912728, + 88075109 + ], + [ + 5464804, + 86960108 + ], + [ + 81324800, + 46947637 + ], + [ + 37628186, + 24041633 + ], + [ + 81429799, + 40933469 + ], + [ + 99711769, + 60164298 + ], + [ + 54715793, + 46928480 + ], + [ + 56304282, + 15630382 + ], + [ + 76577113, + 85712775 + ], + [ + 71723783, + 78666946 + ], + [ + 83827311, + 71445784 + ], + [ + 62836878, + 95999714 + ], + [ + 67552991, + 79906084 + ], + [ + 3489655, + 56656250 + ], + [ + 37397898, + 60629754 + ], + [ + 6548560, + 75731006 + ], + [ + 55323091, + 47559856 + ], + [ + 49361386, + 65245100 + ], + [ + 87118648, + 3719238 + ], + [ + 56609924, + 13745916 + ], + [ + 42510608, + 20117990 + ], + [ + 81362101, + 94946153 + ], + [ + 95130706, + 73544445 + ], + [ + 1342851, + 41427183 + ], + [ + 72475556, + 95368978 + ], + [ + 28081611, + 56029069 + ], + [ + 84199894, + 63108185 + ], + [ + 50107717, + 90983169 + ], + [ + 29413593, + 84856141 + ], + [ + 54986390, + 40100953 + ], + [ + 77875880, + 31719071 + ], + [ + 84778993, + 75326785 + ], + [ + 97228728, + 67357011 + ], + [ + 44834923, + 655869 + ], + [ + 42089844, + 48754424 + ], + [ + 39329165, + 2406921 + ], + [ + 10724087, + 3834199 + ], + [ + 3388834, + 61699619 + ], + [ + 83265711, + 10729060 + ], + [ + 13696376, + 47797585 + ], + [ + 49686880, + 9103815 + ], + [ + 68634217, + 1926569 + ], + [ + 94584789, + 35679933 + ], + [ + 74754292, + 79425433 + ], + [ + 24089591, + 28534326 + ], + [ + 34661745, + 64004423 + ], + [ + 96197237, + 24367718 + ], + [ + 60786982, + 67015655 + ], + [ + 11234085, + 40885044 + ], + [ + 71241443, + 32619664 + ], + [ + 93416980, + 65873188 + ], + [ + 39194430, + 65208272 + ], + [ + 15968168, + 40321400 + ], + [ + 13737941, + 52714733 + ], + [ + 67121023, + 34439785 + ], + [ + 10505567, + 90380314 + ], + [ + 6220530, + 43342313 + ], + [ + 32884611, + 43066179 + ], + [ + 61659314, + 26052081 + ], + [ + 40951785, + 55611479 + ], + [ + 33268747, + 9114838 + ], + [ + 44042647, + 53564804 + ], + [ + 44115484, + 76187642 + ], + [ + 39125629, + 71436155 + ], + [ + 62034670, + 8823025 + ], + [ + 60011788, + 8912781 + ], + [ + 54531361, + 40735019 + ], + [ + 32152762, + 13324355 + ], + [ + 15087262, + 30405441 + ], + [ + 48136889, + 24536995 + ], + [ + 22000877, + 80353790 + ], + [ + 1906649, + 56929915 + ], + [ + 50046624, + 28556490 + ], + [ + 31132205, + 48199268 + ], + [ + 40088852, + 83263425 + ], + [ + 52891503, + 98215660 + ], + [ + 4051020, + 28719185 + ], + [ + 79981244, + 92751431 + ], + [ + 30612720, + 86131824 + ], + [ + 6442405, + 50367187 + ], + [ + 2965832, + 64674812 + ], + [ + 58500335, + 92626721 + ], + [ + 92501753, + 61332074 + ], + [ + 40590805, + 71430036 + ], + [ + 93242478, + 9864243 + ], + [ + 89540522, + 46927819 + ], + [ + 69146028, + 88545091 + ], + [ + 18137706, + 69111841 + ], + [ + 10199158, + 46516627 + ], + [ + 62767755, + 54619208 + ], + [ + 41885805, + 4572116 + ], + [ + 16703963, + 85056917 + ], + [ + 69365051, + 93120552 + ], + [ + 81729301, + 86576666 + ], + [ + 22328643, + 75172547 + ], + [ + 85477190, + 3873853 + ], + [ + 5232710, + 72782279 + ], + [ + 99851555, + 82330901 + ], + [ + 39237289, + 12710424 + ], + [ + 49079870, + 99645013 + ], + [ + 70870312, + 21334680 + ], + [ + 80038036, + 19959484 + ], + [ + 17845302, + 15947944 + ], + [ + 45919393, + 71206720 + ], + [ + 29036155, + 18658600 + ], + [ + 992589, + 42739982 + ], + [ + 50483295, + 18049291 + ], + [ + 33388634, + 86220761 + ], + [ + 56684623, + 33167987 + ], + [ + 44676931, + 97015122 + ], + [ + 31589903, + 64917348 + ], + [ + 13322195, + 29583196 + ], + [ + 78493065, + 96969953 + ], + [ + 48935874, + 11628358 + ], + [ + 89277531, + 48078750 + ], + [ + 75922851, + 95982609 + ], + [ + 74615639, + 47867953 + ], + [ + 72700666, + 45160750 + ], + [ + 18656358, + 46010082 + ], + [ + 97488703, + 34162715 + ], + [ + 7108949, + 64436019 + ], + [ + 49701278, + 58090090 + ], + [ + 32689252, + 6923390 + ], + [ + 96034243, + 46749658 + ], + [ + 33226503, + 42963000 + ], + [ + 42460947, + 1122801 + ], + [ + 60886899, + 59747329 + ], + [ + 30965673, + 12153728 + ], + [ + 58645772, + 77177069 + ], + [ + 57788702, + 47808472 + ], + [ + 46791015, + 71683411 + ], + [ + 11359109, + 2542323 + ], + [ + 79790826, + 77931020 + ], + [ + 47619983, + 12863438 + ], + [ + 52191524, + 68896758 + ], + [ + 7271729, + 40283286 + ], + [ + 46868793, + 1471129 + ], + [ + 21147362, + 20574332 + ], + [ + 94254010, + 73897053 + ], + [ + 89512321, + 51797713 + ], + [ + 24683357, + 43887185 + ], + [ + 31093595, + 51249731 + ], + [ + 79684845, + 50051191 + ], + [ + 94654658, + 18537399 + ], + [ + 58841562, + 12658428 + ], + [ + 94193139, + 98916184 + ], + [ + 16229072, + 82526713 + ], + [ + 42587274, + 71003760 + ], + [ + 32352962, + 41938935 + ], + [ + 71265926, + 33182701 + ], + [ + 289401, + 74141355 + ], + [ + 24160297, + 49149521 + ], + [ + 94387629, + 80819474 + ], + [ + 86123049, + 94893148 + ], + [ + 5506313, + 71384361 + ], + [ + 2842636, + 34145801 + ], + [ + 19203323, + 60576157 + ], + [ + 66783859, + 52236626 + ], + [ + 9658867, + 22302399 + ], + [ + 22082601, + 56702574 + ], + [ + 76788108, + 23857615 + ], + [ + 89929609, + 85717495 + ], + [ + 41969235, + 85936898 + ], + [ + 85963026, + 44991504 + ], + [ + 51703556, + 37621340 + ], + [ + 95521769, + 7699695 + ], + [ + 567535, + 81033842 + ], + [ + 80612811, + 16461238 + ], + [ + 89837104, + 29804302 + ], + [ + 55423109, + 1271094 + ], + [ + 51296455, + 6153381 + ], + [ + 69334469, + 17851873 + ], + [ + 11924793, + 42855400 + ], + [ + 73901522, + 18439121 + ], + [ + 43662504, + 92403500 + ], + [ + 19677494, + 52441710 + ], + [ + 84712399, + 46771485 + ], + [ + 93286325, + 1003523 + ], + [ + 47499037, + 89925066 + ], + [ + 5351275, + 58894876 + ], + [ + 97655070, + 25595581 + ], + [ + 36507637, + 91139120 + ], + [ + 68011991, + 6798886 + ], + [ + 99520080, + 94178879 + ], + [ + 24449417, + 29716197 + ], + [ + 29917716, + 74640031 + ], + [ + 9639234, + 9360477 + ], + [ + 63826561, + 91111648 + ], + [ + 27265568, + 86069094 + ], + [ + 35065314, + 15161891 + ], + [ + 44954468, + 94212631 + ], + [ + 20391069, + 41069774 + ], + [ + 2325622, + 35471731 + ], + [ + 98552325, + 78742094 + ], + [ + 38186163, + 50354043 + ], + [ + 50086892, + 23881753 + ], + [ + 76529988, + 10740101 + ], + [ + 73685200, + 12090319 + ], + [ + 75593076, + 79623701 + ], + [ + 18234336, + 28894541 + ], + [ + 48127621, + 4805828 + ], + [ + 60922216, + 48888245 + ], + [ + 22002812, + 39892769 + ], + [ + 98058191, + 56668554 + ], + [ + 91687720, + 93379303 + ], + [ + 49113287, + 75304693 + ], + [ + 26466975, + 72953565 + ], + [ + 4580468, + 55365857 + ], + [ + 60801097, + 68295319 + ], + [ + 73340345, + 93702766 + ], + [ + 7025346, + 8167078 + ], + [ + 22246056, + 53367049 + ], + [ + 19343671, + 77760004 + ], + [ + 92784223, + 93956844 + ], + [ + 13987165, + 70029844 + ], + [ + 41987579, + 79178616 + ], + [ + 86928853, + 89243238 + ], + [ + 91266000, + 26097246 + ], + [ + 24832505, + 66243270 + ], + [ + 7785155, + 88463385 + ], + [ + 65939207, + 16887673 + ], + [ + 575038, + 1395043 + ], + [ + 9707420, + 72974725 + ], + [ + 88980851, + 25733694 + ], + [ + 10183041, + 45920096 + ], + [ + 74350581, + 79595542 + ], + [ + 33903406, + 2066007 + ], + [ + 66396076, + 9508033 + ], + [ + 84049280, + 62313738 + ], + [ + 44273006, + 11156137 + ], + [ + 54276208, + 97231849 + ], + [ + 88833958, + 1069021 + ], + [ + 78429845, + 94032135 + ], + [ + 28325267, + 75029878 + ], + [ + 88839774, + 1154562 + ], + [ + 39974448, + 4698449 + ], + [ + 48700090, + 34800884 + ], + [ + 49888554, + 40015778 + ], + [ + 82785195, + 16914510 + ], + [ + 12311123, + 30247673 + ], + [ + 34037941, + 58194503 + ], + [ + 56620572, + 72263824 + ], + [ + 55688716, + 51653060 + ], + [ + 79250695, + 65479865 + ], + [ + 57210207, + 93132111 + ], + [ + 65872303, + 21276661 + ], + [ + 24888836, + 2278364 + ], + [ + 61074888, + 35701089 + ], + [ + 30397272, + 77499005 + ], + [ + 59652745, + 67687132 + ], + [ + 46994030, + 62918110 + ], + [ + 22376455, + 21869723 + ], + [ + 12784644, + 60402383 + ], + [ + 63156577, + 64559787 + ], + [ + 84980324, + 4332612 + ], + [ + 75031181, + 31016445 + ], + [ + 97312457, + 72982182 + ], + [ + 34241300, + 3820625 + ], + [ + 37068395, + 29906892 + ], + [ + 45414486, + 76025513 + ], + [ + 53033981, + 77729443 + ], + [ + 27150672, + 37191090 + ], + [ + 36624080, + 78757037 + ], + [ + 3687768, + 32002405 + ], + [ + 93823877, + 13711877 + ], + [ + 44657983, + 59573339 + ], + [ + 21230862, + 35359040 + ], + [ + 34716569, + 61182673 + ], + [ + 58426920, + 20397673 + ], + [ + 2497774, + 25173412 + ], + [ + 51796525, + 95385151 + ], + [ + 38822333, + 64671046 + ], + [ + 44104160, + 53050247 + ], + [ + 85647698, + 69532797 + ], + [ + 36082737, + 11080799 + ], + [ + 68510851, + 47516987 + ], + [ + 94887447, + 90558314 + ], + [ + 35387474, + 2164038 + ], + [ + 79078111, + 21161207 + ], + [ + 27334414, + 7037202 + ], + [ + 16467345, + 54888323 + ], + [ + 30799691, + 25851076 + ], + [ + 15496697, + 70257605 + ], + [ + 30046190, + 68794768 + ], + [ + 32062882, + 87312971 + ], + [ + 24227707, + 43764860 + ], + [ + 16598269, + 65322269 + ], + [ + 70820084, + 94832508 + ], + [ + 12827075, + 63160251 + ], + [ + 17342549, + 28975511 + ], + [ + 4239445, + 84181005 + ], + [ + 92799822, + 3277258 + ], + [ + 48109185, + 75334167 + ], + [ + 33818118, + 61835827 + ], + [ + 59204402, + 94526853 + ], + [ + 32082089, + 26460231 + ], + [ + 37678876, + 21754394 + ], + [ + 73774658, + 45263970 + ], + [ + 89613134, + 16515570 + ], + [ + 65541184, + 25538732 + ], + [ + 89810099, + 62763916 + ], + [ + 3781057, + 91716397 + ], + [ + 36761184, + 79370704 + ], + [ + 34837989, + 48551635 + ], + [ + 53836569, + 14637946 + ], + [ + 78143143, + 49664855 + ], + [ + 58212916, + 34192957 + ], + [ + 21271634, + 66898911 + ], + [ + 71474249, + 63680885 + ], + [ + 32209675, + 24396721 + ], + [ + 90087074, + 58295926 + ], + [ + 53385474, + 80214776 + ], + [ + 6358576, + 93542271 + ], + [ + 22884750, + 24690547 + ], + [ + 97843744, + 68783017 + ], + [ + 17486436, + 82086101 + ], + [ + 96733543, + 25519937 + ], + [ + 88742106, + 8290551 + ], + [ + 51608487, + 18720750 + ], + [ + 7322021, + 24079650 + ], + [ + 14336768, + 25902094 + ], + [ + 57263661, + 80687780 + ], + [ + 28790691, + 66143731 + ], + [ + 20648093, + 47074622 + ], + [ + 50754676, + 63088324 + ], + [ + 56227310, + 35460267 + ], + [ + 17094432, + 85850217 + ], + [ + 74880379, + 6486352 + ], + [ + 16978100, + 55974284 + ], + [ + 5971682, + 74588052 + ], + [ + 38967057, + 95089880 + ], + [ + 18064578, + 87112724 + ], + [ + 27929176, + 56924642 + ], + [ + 74219109, + 85303033 + ], + [ + 12718583, + 25842468 + ], + [ + 67336399, + 46985407 + ], + [ + 85615791, + 79839826 + ], + [ + 23938157, + 94891573 + ], + [ + 48085969, + 6967250 + ], + [ + 12273874, + 85908589 + ], + [ + 73340468, + 78080001 + ], + [ + 58964754, + 97238521 + ], + [ + 9790435, + 79213334 + ], + [ + 40133949, + 44198814 + ], + [ + 89297123, + 98063735 + ], + [ + 76556369, + 15823668 + ], + [ + 4001406, + 90126817 + ], + [ + 5458212, + 25508487 + ], + [ + 2460340, + 88989019 + ], + [ + 86416586, + 13006241 + ], + [ + 49341765, + 23406339 + ], + [ + 53614525, + 19624212 + ], + [ + 87163404, + 4341071 + ], + [ + 34684788, + 29787304 + ], + [ + 62613114, + 95588963 + ], + [ + 66045572, + 34150393 + ], + [ + 36901970, + 15872291 + ], + [ + 85360041, + 81258322 + ], + [ + 8860245, + 87727296 + ], + [ + 88636177, + 22706104 + ], + [ + 30371080, + 30878653 + ], + [ + 89883725, + 55636952 + ], + [ + 38950984, + 8173635 + ], + [ + 67898694, + 82180430 + ], + [ + 77899422, + 78053357 + ], + [ + 67750564, + 1181227 + ], + [ + 63882838, + 96679445 + ], + [ + 23059086, + 67462580 + ], + [ + 64642550, + 90008466 + ], + [ + 79453325, + 31724748 + ], + [ + 42265573, + 7787863 + ], + [ + 37255026, + 62842585 + ], + [ + 47753017, + 59152182 + ], + [ + 94784845, + 29872762 + ], + [ + 33536851, + 2252191 + ], + [ + 87602880, + 53839871 + ], + [ + 76053545, + 39387194 + ], + [ + 67760289, + 39637482 + ], + [ + 18087763, + 73652742 + ], + [ + 43663003, + 68157872 + ], + [ + 20995500, + 71815390 + ], + [ + 34477512, + 6947474 + ], + [ + 32573499, + 64896099 + ], + [ + 36033605, + 17594358 + ], + [ + 25951415, + 84743121 + ], + [ + 15652256, + 96615892 + ], + [ + 65089280, + 66252361 + ], + [ + 14480058, + 90380959 + ], + [ + 15231832, + 44787126 + ], + [ + 4875672, + 78315155 + ], + [ + 9085395, + 24446098 + ], + [ + 30224870, + 87536301 + ], + [ + 75649654, + 18539834 + ], + [ + 91985936, + 51485861 + ], + [ + 60858498, + 53050378 + ], + [ + 88880069, + 47000629 + ], + [ + 26858767, + 23023932 + ], + [ + 56018725, + 50879614 + ], + [ + 82494217, + 32339039 + ], + [ + 39123564, + 33950112 + ], + [ + 3830212, + 77888114 + ], + [ + 65941835, + 59870385 + ], + [ + 9637125, + 18968690 + ], + [ + 43024615, + 36048391 + ], + [ + 79570415, + 21351830 + ], + [ + 46911473, + 9756861 + ], + [ + 86997989, + 59280461 + ], + [ + 34068384, + 53694182 + ], + [ + 49397986, + 8222951 + ], + [ + 7106622, + 58878544 + ], + [ + 29267109, + 53714382 + ], + [ + 76579, + 67952309 + ], + [ + 93254454, + 77539981 + ], + [ + 17675301, + 75607126 + ], + [ + 86852145, + 18652909 + ], + [ + 79034624, + 54860034 + ], + [ + 25999589, + 41128894 + ], + [ + 40657994, + 6517897 + ], + [ + 4523142, + 78704683 + ], + [ + 47798324, + 83900743 + ], + [ + 29600628, + 92875650 + ], + [ + 43416020, + 28778834 + ], + [ + 95097857, + 37093370 + ], + [ + 1516906, + 19673720 + ], + [ + 36899084, + 17558385 + ], + [ + 24716771, + 52940696 + ], + [ + 30067436, + 99069112 + ], + [ + 86264480, + 48142738 + ], + [ + 31814986, + 35709474 + ], + [ + 48270674, + 90571486 + ], + [ + 48408275, + 57874390 + ], + [ + 83107488, + 15081987 + ], + [ + 92267142, + 51817486 + ], + [ + 57661192, + 26226626 + ], + [ + 6210254, + 20254084 + ], + [ + 52171376, + 81416123 + ], + [ + 55821727, + 38487667 + ], + [ + 68700667, + 79186575 + ], + [ + 56823605, + 85293053 + ], + [ + 30553628, + 12378304 + ], + [ + 30144727, + 38588157 + ], + [ + 99289992, + 62334681 + ], + [ + 40918454, + 73646665 + ], + [ + 61111796, + 38682523 + ], + [ + 61522111, + 74343312 + ], + [ + 42822426, + 65344786 + ], + [ + 77128387, + 42007727 + ], + [ + 69754507, + 17489543 + ], + [ + 70758852, + 18616177 + ], + [ + 80879938, + 36680208 + ], + [ + 97631489, + 87097775 + ], + [ + 64936690, + 43492058 + ], + [ + 27170319, + 24485489 + ], + [ + 70742836, + 66484180 + ], + [ + 29260740, + 41062251 + ], + [ + 48131228, + 93171640 + ], + [ + 1402767, + 61835715 + ], + [ + 93721621, + 40563426 + ], + [ + 86821259, + 12133400 + ], + [ + 17911912, + 18331258 + ], + [ + 14986739, + 27074883 + ], + [ + 14815866, + 25135959 + ], + [ + 70970295, + 44605376 + ], + [ + 79964941, + 44563489 + ], + [ + 10263330, + 98442818 + ], + [ + 65636533, + 96726350 + ], + [ + 42578634, + 95096989 + ], + [ + 51474852, + 26633486 + ], + [ + 75665601, + 9467606 + ], + [ + 37207132, + 44468713 + ], + [ + 70761613, + 71724152 + ], + [ + 22642588, + 64090514 + ], + [ + 13017025, + 58482485 + ], + [ + 17611250, + 40232129 + ], + [ + 7595709, + 20601219 + ], + [ + 50911484, + 76762956 + ], + [ + 21795614, + 45132400 + ], + [ + 26590104, + 5030585 + ], + [ + 8476275, + 69885700 + ], + [ + 9473566, + 64207037 + ], + [ + 80848916, + 21010105 + ], + [ + 26780134, + 80813971 + ], + [ + 12507135, + 67183940 + ], + [ + 42708227, + 47166722 + ], + [ + 18979176, + 41641119 + ], + [ + 27661061, + 29592083 + ], + [ + 82285825, + 75735468 + ], + [ + 20262203, + 24559647 + ], + [ + 12377170, + 93087479 + ], + [ + 67267034, + 75063523 + ], + [ + 14041951, + 88843291 + ], + [ + 59635077, + 63002465 + ], + [ + 55765634, + 73956322 + ], + [ + 23771649, + 47865201 + ], + [ + 15317909, + 91443658 + ], + [ + 41665134, + 25789183 + ], + [ + 15002352, + 36902603 + ], + [ + 84506214, + 9866065 + ], + [ + 90363972, + 57823359 + ], + [ + 31974843, + 64888201 + ], + [ + 6766164, + 2996364 + ], + [ + 57965684, + 10758043 + ], + [ + 15708184, + 45943425 + ], + [ + 26121864, + 54796170 + ], + [ + 29716401, + 17447903 + ], + [ + 29968366, + 72862139 + ], + [ + 37630343, + 15481200 + ], + [ + 39465569, + 92869442 + ], + [ + 1037114, + 95427159 + ], + [ + 35535814, + 91251755 + ], + [ + 11342117, + 23827266 + ], + [ + 48079013, + 19851603 + ], + [ + 67169803, + 16634267 + ], + [ + 80779926, + 38754207 + ], + [ + 73851027, + 89369727 + ], + [ + 96600518, + 41704803 + ], + [ + 73935101, + 25261292 + ], + [ + 76040338, + 62558848 + ], + [ + 50128975, + 88863415 + ], + [ + 58312177, + 39392378 + ], + [ + 16445265, + 55892004 + ], + [ + 2491779, + 26438282 + ], + [ + 21904611, + 29349263 + ], + [ + 60230301, + 90672720 + ], + [ + 96420571, + 5641349 + ], + [ + 70607133, + 70653782 + ], + [ + 68037841, + 15685062 + ], + [ + 88491755, + 19546147 + ], + [ + 60771935, + 84435343 + ], + [ + 61111674, + 46815812 + ], + [ + 52209512, + 80771606 + ], + [ + 94912010, + 64515336 + ], + [ + 29150898, + 51690893 + ], + [ + 95922980, + 10245303 + ], + [ + 54089714, + 65106237 + ], + [ + 91665695, + 43051200 + ], + [ + 16321458, + 34491152 + ], + [ + 47328547, + 91392925 + ], + [ + 70456769, + 11653545 + ], + [ + 76139511, + 44238527 + ], + [ + 96352059, + 36936008 + ], + [ + 21355379, + 10330350 + ], + [ + 13692957, + 22359619 + ], + [ + 72205236, + 83467528 + ], + [ + 43621291, + 63023231 + ], + [ + 60811996, + 85350682 + ], + [ + 14085258, + 41922289 + ], + [ + 97944440, + 59357211 + ], + [ + 20258043, + 81599166 + ], + [ + 80449020, + 31310556 + ], + [ + 50797972, + 43554054 + ], + [ + 15794914, + 78558530 + ], + [ + 58743773, + 87253735 + ], + [ + 85560746, + 82453300 + ], + [ + 72113390, + 97526657 + ], + [ + 38003009, + 29466289 + ], + [ + 94182378, + 39504919 + ], + [ + 29841422, + 82103210 + ], + [ + 2173055, + 41557285 + ], + [ + 35914523, + 66417633 + ], + [ + 87579280, + 76396084 + ], + [ + 55227874, + 14071718 + ], + [ + 73131266, + 94389038 + ], + [ + 66956313, + 14159058 + ], + [ + 25560536, + 15213053 + ], + [ + 9370660, + 25963889 + ], + [ + 98369535, + 30016827 + ], + [ + 82634705, + 60698359 + ], + [ + 23671558, + 43970508 + ], + [ + 84514446, + 23694016 + ], + [ + 26240742, + 68615373 + ], + [ + 57222173, + 82265669 + ], + [ + 25843992, + 94965600 + ], + [ + 95299035, + 73630693 + ], + [ + 44169218, + 18430764 + ], + [ + 47972307, + 52181542 + ], + [ + 6481717, + 79134305 + ], + [ + 2383911, + 58496343 + ], + [ + 87697676, + 4608598 + ], + [ + 98935286, + 398492 + ], + [ + 21446519, + 6920822 + ], + [ + 82662651, + 7213430 + ], + [ + 55906345, + 17390418 + ], + [ + 40341740, + 77352362 + ], + [ + 54317236, + 158344 + ], + [ + 6502783, + 54472162 + ], + [ + 76715190, + 48614320 + ], + [ + 24874202, + 15240361 + ], + [ + 32356651, + 40352714 + ], + [ + 38001147, + 42293397 + ], + [ + 36213491, + 5877374 + ], + [ + 13729821, + 83270602 + ], + [ + 13288503, + 33144204 + ], + [ + 30339385, + 87320546 + ], + [ + 42413753, + 18409719 + ], + [ + 85063936, + 83414071 + ], + [ + 26941848, + 13978980 + ], + [ + 30607759, + 58932153 + ], + [ + 8795963, + 97172317 + ], + [ + 72485671, + 3633881 + ], + [ + 86418057, + 53010968 + ], + [ + 14980099, + 92386228 + ], + [ + 83289680, + 79184089 + ], + [ + 10668691, + 27559398 + ], + [ + 37742044, + 27765101 + ], + [ + 10946996, + 25886026 + ], + [ + 31551530, + 49564417 + ], + [ + 9803244, + 75208738 + ], + [ + 66712864, + 70457282 + ], + [ + 33890676, + 57785385 + ], + [ + 73973576, + 40628442 + ], + [ + 4979795, + 37236924 + ], + [ + 82194993, + 5991858 + ], + [ + 65605523, + 22511091 + ], + [ + 66434798, + 82307550 + ], + [ + 54121527, + 6813195 + ], + [ + 16646389, + 15205460 + ], + [ + 22384849, + 29605403 + ], + [ + 76844546, + 40031578 + ], + [ + 64021209, + 6018141 + ], + [ + 87974256, + 68260917 + ], + [ + 60076583, + 21779272 + ], + [ + 71072091, + 89281937 + ], + [ + 16722187, + 62885967 + ], + [ + 53530770, + 10857165 + ], + [ + 66976479, + 79303228 + ], + [ + 50757720, + 20272824 + ], + [ + 93612627, + 33676118 + ], + [ + 21526386, + 84214733 + ], + [ + 3709438, + 54040800 + ], + [ + 69517280, + 39864823 + ], + [ + 38251780, + 35921825 + ], + [ + 65472533, + 88079263 + ], + [ + 24865350, + 5040593 + ], + [ + 60478392, + 63211660 + ], + [ + 6796185, + 65267427 + ], + [ + 62543865, + 78571272 + ], + [ + 75463684, + 14690352 + ], + [ + 55610353, + 22445244 + ], + [ + 58025988, + 36111922 + ], + [ + 80394252, + 14061201 + ], + [ + 61116091, + 95237491 + ], + [ + 69955482, + 65835507 + ], + [ + 87147909, + 24253234 + ], + [ + 21526340, + 1405635 + ], + [ + 56267743, + 30251330 + ], + [ + 25962583, + 66717205 + ], + [ + 76695147, + 59055790 + ], + [ + 71779440, + 44780111 + ], + [ + 32451671, + 40353711 + ], + [ + 77887440, + 34576870 + ], + [ + 45752962, + 71419593 + ], + [ + 52012190, + 74779106 + ], + [ + 29659931, + 73793634 + ], + [ + 47168518, + 79387848 + ], + [ + 91038154, + 51551649 + ], + [ + 16618117, + 38857610 + ], + [ + 76871932, + 9683928 + ], + [ + 31310442, + 41741677 + ], + [ + 16461730, + 79046376 + ], + [ + 40834786, + 97019949 + ], + [ + 33980984, + 76598936 + ], + [ + 70953800, + 11045443 + ], + [ + 20358857, + 78561085 + ], + [ + 46702086, + 85204625 + ], + [ + 82815636, + 30795726 + ], + [ + 55327574, + 48356910 + ], + [ + 75234387, + 31995521 + ], + [ + 59242667, + 23714999 + ], + [ + 46226042, + 73601632 + ], + [ + 74303818, + 9355460 + ], + [ + 8327037, + 47516335 + ], + [ + 11952127, + 95361868 + ], + [ + 6600211, + 73746041 + ], + [ + 22966003, + 14301158 + ], + [ + 98871275, + 58355435 + ], + [ + 77675438, + 65647910 + ], + [ + 54199868, + 93674691 + ], + [ + 69036578, + 18851104 + ], + [ + 77193496, + 43862624 + ], + [ + 14526132, + 35295458 + ], + [ + 54223097, + 354155 + ], + [ + 93647512, + 2079589 + ], + [ + 76185546, + 67575710 + ], + [ + 93866891, + 46877470 + ], + [ + 59682458, + 69108313 + ], + [ + 20977105, + 16756643 + ], + [ + 33080430, + 40848503 + ], + [ + 85091498, + 35545033 + ], + [ + 73569447, + 5818242 + ], + [ + 13581777, + 47599999 + ], + [ + 97939523, + 63364149 + ], + [ + 20489590, + 42902300 + ], + [ + 82841639, + 72937783 + ], + [ + 81640831, + 25143847 + ], + [ + 36954400, + 38776126 + ], + [ + 86962984, + 63782813 + ], + [ + 95514315, + 48629910 + ], + [ + 51608552, + 52991711 + ], + [ + 23449419, + 85788960 + ], + [ + 99131495, + 54685097 + ], + [ + 53406530, + 61978717 + ], + [ + 22031782, + 43945499 + ], + [ + 22902303, + 98679897 + ], + [ + 30136235, + 9405925 + ], + [ + 2237285, + 32126856 + ], + [ + 39694737, + 69978129 + ], + [ + 18164592, + 42897111 + ], + [ + 48282533, + 89798347 + ], + [ + 88206065, + 61749442 + ], + [ + 70909379, + 55607822 + ], + [ + 10875786, + 46937351 + ], + [ + 24390168, + 43948172 + ], + [ + 42847046, + 60698135 + ], + [ + 70190184, + 53431481 + ], + [ + 42039096, + 38634322 + ], + [ + 39216924, + 68284973 + ], + [ + 19899183, + 81269081 + ], + [ + 23900861, + 62829277 + ], + [ + 80103335, + 19458073 + ], + [ + 88076700, + 5043352 + ], + [ + 28179806, + 90344252 + ], + [ + 60473952, + 90686549 + ], + [ + 85082281, + 6995274 + ], + [ + 39681928, + 73005040 + ], + [ + 29090986, + 61383948 + ], + [ + 48951249, + 58177113 + ], + [ + 50878608, + 67725103 + ], + [ + 53945896, + 65270367 + ], + [ + 79273358, + 62438220 + ], + [ + 58480519, + 14802879 + ], + [ + 41326734, + 79007887 + ], + [ + 92567128, + 78960587 + ], + [ + 41871228, + 10250397 + ], + [ + 52627749, + 98164037 + ], + [ + 82775015, + 75849438 + ], + [ + 12746806, + 37916482 + ], + [ + 41834007, + 19251861 + ], + [ + 93027062, + 56818418 + ], + [ + 3148460, + 75785392 + ], + [ + 41399350, + 78460400 + ], + [ + 16208121, + 26093801 + ], + [ + 40914549, + 85699731 + ], + [ + 5459827, + 93755907 + ], + [ + 99657177, + 16859199 + ], + [ + 9150032, + 62307600 + ], + [ + 97537982, + 35686666 + ], + [ + 6602611, + 9192232 + ], + [ + 13946704, + 22249478 + ], + [ + 96519246, + 9134514 + ], + [ + 95172852, + 97441872 + ], + [ + 11197875, + 39381489 + ], + [ + 81006929, + 57701064 + ], + [ + 35249685, + 61736975 + ], + [ + 51948045, + 55570471 + ], + [ + 23055117, + 85571593 + ], + [ + 18465179, + 5162032 + ], + [ + 79148446, + 31038791 + ], + [ + 62477390, + 4238223 + ], + [ + 29337948, + 68786781 + ], + [ + 64365087, + 25401011 + ], + [ + 4128347, + 63267055 + ], + [ + 67136025, + 69517599 + ], + [ + 77345413, + 53531676 + ], + [ + 27683684, + 16028613 + ], + [ + 63468148, + 92401296 + ], + [ + 9017797, + 18848773 + ], + [ + 49601485, + 33757391 + ], + [ + 63440920, + 97564869 + ], + [ + 23140900, + 32572896 + ], + [ + 57809163, + 43370037 + ], + [ + 33559176, + 13986578 + ], + [ + 2557231, + 21938724 + ], + [ + 69836959, + 23895309 + ], + [ + 52708364, + 2171386 + ], + [ + 86408538, + 21052273 + ], + [ + 43540998, + 11666086 + ], + [ + 78096762, + 51082392 + ], + [ + 54565371, + 556011 + ], + [ + 98516355, + 1256419 + ], + [ + 64074575, + 82970711 + ], + [ + 5895769, + 7937961 + ], + [ + 80125278, + 76545407 + ], + [ + 22937849, + 5850688 + ], + [ + 15134144, + 69875747 + ], + [ + 43777966, + 28733964 + ], + [ + 6323034, + 89553829 + ], + [ + 23453459, + 73980975 + ], + [ + 91007690, + 33449767 + ], + [ + 95263544, + 73191043 + ], + [ + 74162379, + 77180516 + ], + [ + 21774687, + 20758770 + ], + [ + 62679058, + 36036174 + ], + [ + 54685345, + 47452457 + ], + [ + 20429517, + 75050636 + ], + [ + 73109530, + 17328819 + ], + [ + 1066361, + 90697552 + ], + [ + 3069595, + 57516426 + ], + [ + 67980524, + 50103317 + ], + [ + 35766223, + 19536960 + ], + [ + 83671623, + 25042027 + ], + [ + 31218019, + 33774954 + ], + [ + 70545987, + 85737192 + ], + [ + 2990713, + 53147853 + ], + [ + 45789578, + 33355986 + ], + [ + 2260443, + 45086066 + ], + [ + 29063031, + 89165605 + ], + [ + 65959036, + 85744526 + ], + [ + 75197896, + 66665401 + ], + [ + 88062765, + 97816497 + ], + [ + 67248251, + 50812124 + ], + [ + 55390699, + 45923799 + ], + [ + 32410216, + 73199637 + ], + [ + 34062219, + 58465680 + ], + [ + 8232585, + 38501230 + ], + [ + 40397530, + 28348588 + ], + [ + 70188929, + 23023755 + ], + [ + 6240183, + 15260761 + ], + [ + 6067612, + 75196864 + ], + [ + 582618, + 47815252 + ], + [ + 72291625, + 25185017 + ], + [ + 28634843, + 44990460 + ], + [ + 55853196, + 46140821 + ], + [ + 23285542, + 11699213 + ], + [ + 68963849, + 70484232 + ], + [ + 29030767, + 18596212 + ], + [ + 58782644, + 62441027 + ], + [ + 36741320, + 54903877 + ], + [ + 68614108, + 88271462 + ], + [ + 57681164, + 99647770 + ], + [ + 7012316, + 26369434 + ], + [ + 43529323, + 27979956 + ], + [ + 4078006, + 32996448 + ], + [ + 90146463, + 63672825 + ], + [ + 21548380, + 80118543 + ], + [ + 54547869, + 70754636 + ], + [ + 96223108, + 44541374 + ], + [ + 57851540, + 33659620 + ], + [ + 33312416, + 11867753 + ], + [ + 21381135, + 21070457 + ], + [ + 59379097, + 58561433 + ], + [ + 65361707, + 67463466 + ], + [ + 29960192, + 37955614 + ], + [ + 83036601, + 11941324 + ], + [ + 82472585, + 91285284 + ], + [ + 80588363, + 27553035 + ], + [ + 56147563, + 96321122 + ], + [ + 34936873, + 69644251 + ], + [ + 30098602, + 90880370 + ], + [ + 33953940, + 99712333 + ], + [ + 12042503, + 98556932 + ], + [ + 27471985, + 71626867 + ], + [ + 31277927, + 67882452 + ], + [ + 88660910, + 26318453 + ], + [ + 30119213, + 36078785 + ], + [ + 42921863, + 36033900 + ], + [ + 73471088, + 87501083 + ], + [ + 37225420, + 95717413 + ], + [ + 47171337, + 79490069 + ], + [ + 28161803, + 80888579 + ], + [ + 79074328, + 48861494 + ], + [ + 15162121, + 73418116 + ], + [ + 48040747, + 17790890 + ], + [ + 77098475, + 72057368 + ], + [ + 38099474, + 66060196 + ], + [ + 90358669, + 27837926 + ], + [ + 20122391, + 84578167 + ], + [ + 77720774, + 62628886 + ], + [ + 25841179, + 33949227 + ], + [ + 31046456, + 47738348 + ], + [ + 36179024, + 25136610 + ], + [ + 55306236, + 43266966 + ], + [ + 20121428, + 82033383 + ], + [ + 84146532, + 76005791 + ], + [ + 7274936, + 13450507 + ], + [ + 54715612, + 41279287 + ], + [ + 35769941, + 86966877 + ], + [ + 1816529, + 40897751 + ], + [ + 5107640, + 44903308 + ], + [ + 41016189, + 11080566 + ], + [ + 23357597, + 48649132 + ], + [ + 9317624, + 2146083 + ], + [ + 50184997, + 38234404 + ], + [ + 3041283, + 79904113 + ], + [ + 95424394, + 46454242 + ], + [ + 97962436, + 15068406 + ], + [ + 80313377, + 6313083 + ], + [ + 81336003, + 34565758 + ], + [ + 76736633, + 994154 + ], + [ + 13264193, + 90814513 + ], + [ + 31836965, + 85836380 + ], + [ + 85449516, + 55959783 + ], + [ + 35476247, + 48575550 + ], + [ + 24844225, + 16631616 + ], + [ + 48366001, + 34487191 + ], + [ + 25790788, + 62444776 + ], + [ + 89457993, + 74891524 + ], + [ + 72978083, + 24477778 + ], + [ + 47321247, + 66809507 + ], + [ + 5186030, + 35715949 + ], + [ + 71954141, + 68112697 + ], + [ + 78631028, + 54685217 + ], + [ + 74052686, + 94929208 + ], + [ + 81549152, + 67055398 + ], + [ + 15902585, + 3459169 + ], + [ + 76897462, + 86424759 + ], + [ + 70224403, + 66241718 + ], + [ + 78670056, + 39243050 + ], + [ + 5472598, + 1738840 + ], + [ + 16146824, + 86933168 + ], + [ + 70447834, + 46397813 + ], + [ + 77649076, + 15775130 + ], + [ + 55114241, + 46160122 + ], + [ + 45598229, + 27583644 + ], + [ + 59261242, + 34535567 + ], + [ + 51014711, + 60629676 + ], + [ + 68664265, + 60647437 + ], + [ + 67399823, + 2443149 + ], + [ + 79624703, + 49953286 + ], + [ + 73224072, + 12735422 + ], + [ + 78806497, + 80575737 + ], + [ + 43617727, + 32716840 + ], + [ + 56859430, + 45669529 + ], + [ + 97286221, + 90860842 + ], + [ + 50914939, + 82078623 + ], + [ + 97270902, + 76401980 + ], + [ + 23871380, + 89479369 + ], + [ + 44430154, + 62569880 + ], + [ + 24923097, + 45589954 + ], + [ + 20151613, + 51308347 + ], + [ + 89322518, + 91650680 + ], + [ + 46771855, + 42908936 + ], + [ + 34394248, + 97231511 + ], + [ + 69499110, + 11309773 + ], + [ + 94654493, + 5344729 + ], + [ + 59682719, + 67805768 + ], + [ + 4496922, + 28134144 + ], + [ + 82839489, + 5056623 + ], + [ + 68705088, + 35297388 + ], + [ + 72536346, + 24549123 + ], + [ + 49232287, + 67269583 + ], + [ + 79350968, + 24975525 + ], + [ + 89165101, + 7469517 + ], + [ + 47261284, + 31341386 + ], + [ + 64484529, + 98662901 + ], + [ + 53485213, + 41898663 + ], + [ + 72274641, + 38754017 + ], + [ + 92477396, + 37548160 + ], + [ + 40160538, + 76577026 + ], + [ + 93604805, + 81353278 + ], + [ + 94801229, + 1270013 + ], + [ + 98667783, + 13495895 + ], + [ + 80615507, + 83671247 + ], + [ + 33479905, + 266054 + ], + [ + 80212512, + 45256029 + ], + [ + 6402266, + 79859986 + ], + [ + 17888644, + 93757606 + ], + [ + 23087061, + 54284897 + ], + [ + 23500422, + 34401329 + ], + [ + 84331047, + 25119115 + ], + [ + 26321775, + 14662453 + ], + [ + 62822185, + 35943214 + ], + [ + 72468125, + 79317043 + ], + [ + 42868684, + 57621898 + ], + [ + 77734617, + 61430565 + ], + [ + 84120025, + 31764014 + ], + [ + 55839827, + 7650454 + ], + [ + 74024743, + 86185951 + ], + [ + 94634335, + 51978888 + ], + [ + 68055057, + 15980673 + ], + [ + 59619775, + 78028812 + ], + [ + 28387619, + 44300419 + ], + [ + 51153214, + 88861549 + ], + [ + 20362968, + 66685209 + ], + [ + 20776328, + 19743911 + ], + [ + 31858214, + 77331061 + ], + [ + 65305435, + 11114637 + ], + [ + 30885283, + 34331602 + ], + [ + 14543654, + 50224083 + ], + [ + 20619122, + 74399311 + ], + [ + 97521426, + 95618455 + ], + [ + 91221707, + 53146672 + ], + [ + 94929298, + 56712535 + ], + [ + 88715251, + 7025497 + ], + [ + 66470282, + 48564742 + ], + [ + 92487991, + 86541743 + ], + [ + 75569010, + 21485792 + ], + [ + 45537377, + 87747346 + ], + [ + 81531080, + 35428510 + ], + [ + 67882386, + 73072783 + ], + [ + 71163554, + 30217087 + ], + [ + 23431970, + 91297217 + ], + [ + 89288616, + 21021540 + ], + [ + 45048604, + 37227405 + ], + [ + 71275150, + 95744872 + ], + [ + 19726336, + 58809750 + ], + [ + 35154531, + 86229564 + ], + [ + 12845698, + 7220147 + ], + [ + 56182754, + 46525021 + ], + [ + 65996045, + 75056687 + ], + [ + 21403768, + 23657076 + ], + [ + 69290781, + 5418170 + ], + [ + 2427099, + 47387086 + ], + [ + 89849885, + 47160163 + ], + [ + 57187016, + 44667181 + ], + [ + 49920797, + 12932121 + ], + [ + 17395926, + 48697044 + ], + [ + 11994926, + 49415544 + ], + [ + 72410607, + 14845251 + ], + [ + 81396874, + 12066805 + ], + [ + 76888975, + 14214642 + ], + [ + 83273428, + 84773997 + ], + [ + 20699364, + 87858363 + ], + [ + 82427258, + 83265383 + ], + [ + 59094752, + 59361880 + ], + [ + 95707274, + 25922330 + ], + [ + 29533169, + 33592631 + ], + [ + 14199470, + 64384001 + ], + [ + 52356710, + 19515122 + ], + [ + 4890410, + 17309703 + ], + [ + 93713331, + 52196013 + ], + [ + 99212005, + 26078674 + ], + [ + 17539964, + 12370724 + ], + [ + 98023753, + 75415456 + ], + [ + 6788044, + 40329142 + ], + [ + 5988209, + 13881925 + ], + [ + 54494548, + 84115648 + ], + [ + 53717476, + 15431885 + ], + [ + 58340211, + 89998645 + ], + [ + 86091196, + 28055251 + ], + [ + 62876176, + 65308878 + ], + [ + 29896148, + 13459466 + ], + [ + 79877348, + 75711226 + ], + [ + 9405466, + 38330101 + ], + [ + 64197569, + 56728088 + ], + [ + 40663224, + 67526827 + ], + [ + 74565983, + 50632585 + ], + [ + 42099285, + 73170984 + ], + [ + 34443370, + 74070944 + ], + [ + 36566039, + 20923100 + ], + [ + 93074245, + 43317326 + ], + [ + 21854620, + 93962672 + ], + [ + 51506315, + 47530121 + ], + [ + 18981859, + 31444333 + ], + [ + 98400488, + 65410704 + ], + [ + 90099161, + 72538481 + ], + [ + 78392112, + 10599197 + ], + [ + 90145135, + 95867772 + ], + [ + 51949654, + 84522043 + ], + [ + 29961793, + 46311692 + ], + [ + 2610316, + 66307824 + ], + [ + 25911334, + 65561541 + ], + [ + 46989155, + 82291620 + ], + [ + 11491472, + 352249 + ], + [ + 82393663, + 95311912 + ], + [ + 53032319, + 13574386 + ], + [ + 92812216, + 68012609 + ], + [ + 47297671, + 47964959 + ], + [ + 62153600, + 28340207 + ], + [ + 80776099, + 32868930 + ], + [ + 91051452, + 42091758 + ], + [ + 7490490, + 44381479 + ], + [ + 54576428, + 37993647 + ], + [ + 91161954, + 56507849 + ], + [ + 19345807, + 44842550 + ], + [ + 47772469, + 46161709 + ], + [ + 25833026, + 86938021 + ], + [ + 99830882, + 34770069 + ], + [ + 14232182, + 61303248 + ], + [ + 31695587, + 69558526 + ], + [ + 50192054, + 64104895 + ], + [ + 42223528, + 51238076 + ], + [ + 13142498, + 7124388 + ], + [ + 30260812, + 10590123 + ], + [ + 31462669, + 30449045 + ], + [ + 7301706, + 89473066 + ], + [ + 71044938, + 19230779 + ], + [ + 56792810, + 25871630 + ], + [ + 20162607, + 85382817 + ], + [ + 6853027, + 57294165 + ], + [ + 16709957, + 34974157 + ], + [ + 33450380, + 51671617 + ], + [ + 5070487, + 69795507 + ], + [ + 40143648, + 3427790 + ], + [ + 8363472, + 30484665 + ], + [ + 87507697, + 14178127 + ], + [ + 31021905, + 25937262 + ], + [ + 62884760, + 68256024 + ], + [ + 10451784, + 45247697 + ], + [ + 79577904, + 30994506 + ], + [ + 80903237, + 41056937 + ], + [ + 2262828, + 6197640 + ], + [ + 2427704, + 49358130 + ], + [ + 78896234, + 44098671 + ], + [ + 62992916, + 12395511 + ], + [ + 32005026, + 12135227 + ], + [ + 73649190, + 6433333 + ], + [ + 82754225, + 17761837 + ], + [ + 84463326, + 48645549 + ], + [ + 55505320, + 70788452 + ], + [ + 50189806, + 93162200 + ], + [ + 25390877, + 10211412 + ], + [ + 6035882, + 98809948 + ], + [ + 67910521, + 29308277 + ], + [ + 35906825, + 57978307 + ], + [ + 9988352, + 71726872 + ], + [ + 71704426, + 57923575 + ], + [ + 61860473, + 13224822 + ], + [ + 48456038, + 92532669 + ], + [ + 82684879, + 46033585 + ], + [ + 60661682, + 78948008 + ], + [ + 77898468, + 90267733 + ], + [ + 36907908, + 79924370 + ], + [ + 7260893, + 90568827 + ], + [ + 38561860, + 14429084 + ], + [ + 18498381, + 79598860 + ], + [ + 39548963, + 42155955 + ], + [ + 93364160, + 27132698 + ], + [ + 31167461, + 26684749 + ], + [ + 50192209, + 17975534 + ], + [ + 22456433, + 9559084 + ], + [ + 69207729, + 65289552 + ], + [ + 27835893, + 46818926 + ], + [ + 5921869, + 76700049 + ], + [ + 61316960, + 24611870 + ], + [ + 79740856, + 36642474 + ], + [ + 96041145, + 70988626 + ], + [ + 43155392, + 54362842 + ], + [ + 94668362, + 49831624 + ], + [ + 81922031, + 62586808 + ], + [ + 66510563, + 76419368 + ], + [ + 31527512, + 94835126 + ], + [ + 54009585, + 6379125 + ], + [ + 95043859, + 23074162 + ], + [ + 9719856, + 51960438 + ], + [ + 6620518, + 92219861 + ], + [ + 11037915, + 58164018 + ], + [ + 64468213, + 67572732 + ], + [ + 37113893, + 1844427 + ], + [ + 15484645, + 37223254 + ], + [ + 26107940, + 16334462 + ], + [ + 43821274, + 13673244 + ], + [ + 11870972, + 63412886 + ], + [ + 6261433, + 67803042 + ], + [ + 34105179, + 91662448 + ], + [ + 85414370, + 64454151 + ], + [ + 94455992, + 82737834 + ], + [ + 83712425, + 93552470 + ], + [ + 95401089, + 73795975 + ], + [ + 76003588, + 60920091 + ], + [ + 24440263, + 56810980 + ], + [ + 46406941, + 77856464 + ], + [ + 90329015, + 82215467 + ], + [ + 61678199, + 9167857 + ], + [ + 17981738, + 56383967 + ], + [ + 56377126, + 96430172 + ], + [ + 32667779, + 87318594 + ], + [ + 23356865, + 42474505 + ], + [ + 77408830, + 9812713 + ], + [ + 92753895, + 35044584 + ], + [ + 7375657, + 79412152 + ], + [ + 36184926, + 206258 + ], + [ + 22101771, + 14233938 + ], + [ + 42911783, + 37636974 + ], + [ + 28829223, + 6235376 + ], + [ + 57607675, + 80617191 + ], + [ + 82610337, + 46854611 + ], + [ + 21192852, + 96147761 + ], + [ + 16516511, + 65235014 + ], + [ + 68228697, + 88121189 + ], + [ + 52694316, + 23422001 + ], + [ + 76588087, + 94629915 + ], + [ + 2835529, + 32319416 + ], + [ + 55437190, + 90411516 + ], + [ + 55148432, + 46035873 + ], + [ + 82129770, + 39876597 + ], + [ + 49810974, + 8586229 + ], + [ + 54306806, + 19470645 + ], + [ + 52204637, + 28707087 + ], + [ + 84207062, + 88661011 + ], + [ + 21944022, + 38081406 + ], + [ + 32273049, + 96960493 + ], + [ + 19832881, + 9356854 + ], + [ + 26086722, + 97070775 + ], + [ + 23523784, + 80413789 + ], + [ + 33744324, + 50047421 + ], + [ + 24067506, + 39731379 + ], + [ + 41488411, + 38453788 + ], + [ + 3986602, + 81486354 + ], + [ + 66121657, + 12338390 + ], + [ + 66935851, + 30050772 + ], + [ + 12649694, + 96302004 + ], + [ + 58520388, + 44400262 + ], + [ + 16494313, + 68872579 + ], + [ + 12998373, + 57408677 + ], + [ + 92601610, + 82925325 + ], + [ + 41481150, + 16955747 + ], + [ + 38049555, + 45554176 + ], + [ + 34844934, + 20906589 + ], + [ + 33913945, + 5681784 + ], + [ + 23257696, + 61733276 + ], + [ + 53185880, + 95490486 + ], + [ + 72836078, + 30717624 + ], + [ + 95505064, + 8016258 + ], + [ + 4772417, + 13112345 + ], + [ + 88173226, + 98969799 + ], + [ + 51076916, + 67650093 + ], + [ + 74818365, + 67492730 + ], + [ + 75546257, + 4362025 + ], + [ + 55368365, + 3122468 + ], + [ + 48972216, + 53932477 + ], + [ + 34607622, + 753280 + ], + [ + 46807968, + 63570576 + ], + [ + 17116431, + 54749130 + ], + [ + 40486809, + 16262921 + ], + [ + 97780630, + 73320594 + ], + [ + 77891366, + 33635007 + ], + [ + 11438683, + 62104220 + ], + [ + 97505392, + 65943782 + ], + [ + 73950682, + 90248962 + ], + [ + 54311526, + 62875331 + ], + [ + 5537762, + 50691726 + ], + [ + 57308337, + 78291176 + ], + [ + 59005076, + 8906439 + ], + [ + 47564451, + 65299914 + ], + [ + 48763842, + 96458398 + ], + [ + 18890896, + 94376896 + ], + [ + 37732331, + 40217489 + ], + [ + 71762916, + 68448528 + ], + [ + 54678986, + 83938268 + ], + [ + 39128228, + 46584857 + ], + [ + 41090871, + 69994504 + ], + [ + 47609381, + 79033267 + ], + [ + 46756097, + 34120142 + ], + [ + 19994455, + 91138250 + ], + [ + 46631290, + 76254822 + ], + [ + 53727877, + 4301502 + ], + [ + 27919244, + 80496571 + ], + [ + 64621445, + 99072751 + ], + [ + 96886183, + 43351703 + ], + [ + 8280356, + 63424524 + ], + [ + 7425001, + 99127943 + ], + [ + 55870512, + 26992644 + ], + [ + 85760368, + 60334866 + ], + [ + 57419992, + 95284183 + ], + [ + 72795796, + 20262247 + ], + [ + 63971176, + 18801631 + ], + [ + 30295198, + 75711759 + ], + [ + 83715644, + 19752266 + ], + [ + 62666361, + 25781449 + ], + [ + 92628208, + 39585247 + ], + [ + 37526249, + 52692935 + ], + [ + 63230640, + 36442114 + ], + [ + 67437158, + 33657472 + ], + [ + 41594729, + 53667494 + ], + [ + 69082469, + 47478589 + ], + [ + 32966888, + 77027527 + ], + [ + 43905610, + 93551961 + ], + [ + 84348674, + 53554480 + ], + [ + 66573048, + 81677398 + ], + [ + 54531371, + 73961160 + ], + [ + 33269964, + 33161276 + ], + [ + 87246534, + 3092384 + ], + [ + 59837452, + 289272 + ], + [ + 21376739, + 10855723 + ], + [ + 96389299, + 74690206 + ], + [ + 39680481, + 44685343 + ], + [ + 80300965, + 18458911 + ], + [ + 36340422, + 41727751 + ], + [ + 47690995, + 45810250 + ], + [ + 56869705, + 60949380 + ], + [ + 4627096, + 76392736 + ], + [ + 26645499, + 10903496 + ], + [ + 34921502, + 57476623 + ], + [ + 97052691, + 2970798 + ], + [ + 22476629, + 99753286 + ], + [ + 35001557, + 4417462 + ], + [ + 67357157, + 47002803 + ], + [ + 28630293, + 45068532 + ], + [ + 95056703, + 88074989 + ], + [ + 6356744, + 22341960 + ], + [ + 48665880, + 73635056 + ], + [ + 94668990, + 73875720 + ], + [ + 41804937, + 89570015 + ], + [ + 96486307, + 94964126 + ], + [ + 86710832, + 38181436 + ], + [ + 85753355, + 45534020 + ], + [ + 58383685, + 23634092 + ], + [ + 63005762, + 47790502 + ], + [ + 53309392, + 12672373 + ], + [ + 31796929, + 54198853 + ], + [ + 68800592, + 95391467 + ], + [ + 7019156, + 94623435 + ], + [ + 50987663, + 2926701 + ], + [ + 40655287, + 93505420 + ], + [ + 67002605, + 29063121 + ], + [ + 24924603, + 44933370 + ], + [ + 60514633, + 92532526 + ], + [ + 59714971, + 31257004 + ], + [ + 17247250, + 24142166 + ], + [ + 16889492, + 6083959 + ], + [ + 57920901, + 73230069 + ], + [ + 15914266, + 23333950 + ], + [ + 32958025, + 69508168 + ], + [ + 52928769, + 75872812 + ], + [ + 41644525, + 35142556 + ], + [ + 67472462, + 38360261 + ], + [ + 92408534, + 10632338 + ], + [ + 13882706, + 62205796 + ], + [ + 46597495, + 23692966 + ], + [ + 81453920, + 46863183 + ], + [ + 24104421, + 97478152 + ], + [ + 48213183, + 6624931 + ], + [ + 99115379, + 22439695 + ], + [ + 84438131, + 94276110 + ], + [ + 16610225, + 53268595 + ], + [ + 32824754, + 33177123 + ], + [ + 10908361, + 75661519 + ], + [ + 91496388, + 1873136 + ], + [ + 58995339, + 20295834 + ], + [ + 84498617, + 77665761 + ], + [ + 29856994, + 60217893 + ], + [ + 89270902, + 41574779 + ], + [ + 58142811, + 53755979 + ], + [ + 9531259, + 59526606 + ], + [ + 97299256, + 24914440 + ], + [ + 34131321, + 73778300 + ], + [ + 25833584, + 7401513 + ], + [ + 67064323, + 81171276 + ], + [ + 82203355, + 36401310 + ], + [ + 21601325, + 88541251 + ], + [ + 59173842, + 14787978 + ], + [ + 53887975, + 3409080 + ], + [ + 1581765, + 83923774 + ], + [ + 5975850, + 22119699 + ], + [ + 28395524, + 49427190 + ], + [ + 49845470, + 33710537 + ], + [ + 28336895, + 9518917 + ], + [ + 85770586, + 4384342 + ], + [ + 48629082, + 11240972 + ], + [ + 58928195, + 64283396 + ], + [ + 67309672, + 43913409 + ], + [ + 33761687, + 1429098 + ], + [ + 40559979, + 19090695 + ], + [ + 54588938, + 20435350 + ], + [ + 13033009, + 89557474 + ], + [ + 61494129, + 90107122 + ], + [ + 67587018, + 80790062 + ], + [ + 89564716, + 96913177 + ], + [ + 59149087, + 47058412 + ], + [ + 31855225, + 4543015 + ], + [ + 81030400, + 19223301 + ], + [ + 90690913, + 58859284 + ], + [ + 65823345, + 25819343 + ], + [ + 67048837, + 53879653 + ], + [ + 64363250, + 68022979 + ], + [ + 98381895, + 24784163 + ], + [ + 19515576, + 15526200 + ], + [ + 33296292, + 38268925 + ], + [ + 55646360, + 18485986 + ], + [ + 65431676, + 34668544 + ], + [ + 51129632, + 56679780 + ], + [ + 68828452, + 36890205 + ], + [ + 59134165, + 50786619 + ], + [ + 15515858, + 31267195 + ], + [ + 26968576, + 27092495 + ], + [ + 14330981, + 99760775 + ], + [ + 58229584, + 42478013 + ], + [ + 68713329, + 17195658 + ], + [ + 17585970, + 38509922 + ], + [ + 87102043, + 58641951 + ], + [ + 30339178, + 63488783 + ], + [ + 70699056, + 73983151 + ], + [ + 511220, + 9601569 + ], + [ + 83980227, + 8507078 + ], + [ + 53317790, + 54228138 + ], + [ + 62744324, + 78360366 + ], + [ + 5571962, + 47368560 + ], + [ + 92868224, + 51776053 + ], + [ + 30654861, + 52771431 + ], + [ + 70550491, + 1975664 + ], + [ + 95403841, + 46225110 + ], + [ + 14882681, + 43897271 + ], + [ + 75934290, + 78883505 + ], + [ + 83482163, + 74309743 + ], + [ + 41708740, + 42476236 + ], + [ + 94629121, + 49440104 + ], + [ + 52631551, + 13419952 + ], + [ + 48098069, + 25335398 + ], + [ + 36638107, + 628703 + ], + [ + 21261196, + 26116705 + ], + [ + 59278358, + 95861570 + ], + [ + 96921320, + 13380907 + ], + [ + 52139392, + 57457716 + ], + [ + 13985074, + 58922588 + ], + [ + 24571358, + 8935243 + ], + [ + 21442452, + 161721 + ], + [ + 51672701, + 29360294 + ], + [ + 12611773, + 95996648 + ], + [ + 52334330, + 79631007 + ], + [ + 68103312, + 79654579 + ], + [ + 61499511, + 8128976 + ], + [ + 81808486, + 23976035 + ], + [ + 69218764, + 66838878 + ], + [ + 56015551, + 85475362 + ], + [ + 95479807, + 53077136 + ], + [ + 17131293, + 46054130 + ], + [ + 41606408, + 98575510 + ], + [ + 52191759, + 75344317 + ], + [ + 15945599, + 99126514 + ], + [ + 48192674, + 72017027 + ], + [ + 52473109, + 54037206 + ], + [ + 51322263, + 43913924 + ], + [ + 31981205, + 5761579 + ], + [ + 13004884, + 13745491 + ], + [ + 65607583, + 90305208 + ], + [ + 43341614, + 74709798 + ], + [ + 9325196, + 47385685 + ], + [ + 73848450, + 30981186 + ], + [ + 51360243, + 36756024 + ], + [ + 33375272, + 42688079 + ], + [ + 1024235, + 439649 + ], + [ + 2560781, + 72472832 + ], + [ + 56181299, + 34956826 + ], + [ + 26390112, + 20984401 + ], + [ + 82631985, + 72840722 + ], + [ + 4231729, + 98853500 + ], + [ + 38019047, + 32839533 + ], + [ + 98580299, + 9539642 + ], + [ + 41720824, + 20196712 + ], + [ + 11962104, + 15898561 + ], + [ + 59665965, + 12970455 + ], + [ + 3692721, + 80653028 + ], + [ + 37127923, + 9323197 + ], + [ + 9507012, + 12002624 + ], + [ + 60884972, + 13766019 + ], + [ + 95504906, + 65671422 + ], + [ + 80783642, + 18472586 + ], + [ + 32168058, + 42209193 + ], + [ + 66142756, + 83533363 + ], + [ + 20827533, + 43216562 + ], + [ + 53767561, + 56875824 + ], + [ + 73399114, + 69362554 + ], + [ + 64376786, + 9647706 + ], + [ + 79773983, + 53926426 + ], + [ + 82211934, + 62843916 + ], + [ + 55043241, + 78250543 + ], + [ + 45128539, + 41624247 + ], + [ + 39645186, + 22034590 + ], + [ + 59148868, + 33652133 + ], + [ + 60899190, + 98778064 + ], + [ + 11318161, + 97044146 + ], + [ + 11866628, + 49492105 + ], + [ + 35959567, + 93883381 + ], + [ + 1733386, + 14808161 + ], + [ + 57248571, + 11181663 + ], + [ + 6026465, + 2165340 + ], + [ + 84085877, + 97002772 + ], + [ + 86646104, + 55639025 + ], + [ + 88035639, + 20388196 + ], + [ + 54458444, + 63554323 + ], + [ + 72535915, + 98221773 + ], + [ + 37784666, + 25398179 + ], + [ + 8106938, + 52781535 + ], + [ + 62046520, + 7946262 + ], + [ + 40029070, + 49905981 + ], + [ + 57702614, + 74632178 + ], + [ + 38888868, + 23985078 + ], + [ + 27433377, + 15737403 + ], + [ + 8569034, + 56192510 + ], + [ + 18635100, + 53199493 + ], + [ + 23805814, + 47115680 + ], + [ + 37234896, + 38701024 + ], + [ + 73390632, + 66959426 + ], + [ + 27155673, + 31303762 + ], + [ + 44239662, + 45089416 + ], + [ + 51216512, + 62072126 + ], + [ + 95003446, + 58312206 + ], + [ + 14197347, + 98800713 + ], + [ + 30325197, + 53354790 + ], + [ + 52267402, + 50070209 + ], + [ + 63963656, + 95828976 + ], + [ + 88871781, + 39976345 + ], + [ + 54080747, + 64961145 + ], + [ + 43114168, + 32303993 + ], + [ + 43819389, + 34671845 + ], + [ + 13243654, + 89352822 + ], + [ + 35002462, + 52910128 + ], + [ + 57099955, + 127459 + ], + [ + 93231770, + 94929040 + ], + [ + 99166267, + 49775105 + ], + [ + 73045534, + 7358691 + ], + [ + 93833050, + 59117040 + ], + [ + 97471915, + 14230595 + ], + [ + 72151431, + 19044827 + ], + [ + 46639898, + 66785109 + ], + [ + 71588715, + 60275520 + ], + [ + 63580821, + 23801167 + ], + [ + 1939545, + 3370152 + ], + [ + 47393098, + 74884807 + ], + [ + 74924132, + 35712751 + ], + [ + 25022398, + 15347866 + ], + [ + 32026838, + 17633065 + ], + [ + 17979910, + 26786921 + ], + [ + 497771, + 5410776 + ], + [ + 36580003, + 64519268 + ], + [ + 85868453, + 2286333 + ], + [ + 61014550, + 9568064 + ], + [ + 34492746, + 38982191 + ], + [ + 35717446, + 7356025 + ], + [ + 96002681, + 28974852 + ], + [ + 27759456, + 73324328 + ], + [ + 47950881, + 33254129 + ], + [ + 12315907, + 92970519 + ], + [ + 25868038, + 8411399 + ], + [ + 44925162, + 31860314 + ], + [ + 93737479, + 45671232 + ], + [ + 24450512, + 2141280 + ], + [ + 15872405, + 93890584 + ], + [ + 58253613, + 65764519 + ], + [ + 11147544, + 11226672 + ], + [ + 82909267, + 88259470 + ], + [ + 39165063, + 84920152 + ], + [ + 42580715, + 10799125 + ], + [ + 37264102, + 2120795 + ], + [ + 59419568, + 63401386 + ], + [ + 22834313, + 82956207 + ], + [ + 70249732, + 41251172 + ], + [ + 95607968, + 19565033 + ], + [ + 89928928, + 19152640 + ], + [ + 86513271, + 89656939 + ], + [ + 33300169, + 16677298 + ], + [ + 66985736, + 93748847 + ], + [ + 88652215, + 68807669 + ], + [ + 39276824, + 27230316 + ], + [ + 68276299, + 75666343 + ], + [ + 29508313, + 3588204 + ], + [ + 89676947, + 51654795 + ], + [ + 94575488, + 98562873 + ], + [ + 10186422, + 88026221 + ], + [ + 49388683, + 14147131 + ], + [ + 81338602, + 53271376 + ], + [ + 37170872, + 64296191 + ], + [ + 10322552, + 63053024 + ], + [ + 47330922, + 19750502 + ], + [ + 17717409, + 73143435 + ], + [ + 20665547, + 99411413 + ], + [ + 35122832, + 69240601 + ], + [ + 61693030, + 37232269 + ], + [ + 10090966, + 18765475 + ], + [ + 60510327, + 7566788 + ], + [ + 820764, + 32136197 + ], + [ + 86518562, + 44115455 + ], + [ + 17427335, + 88690866 + ], + [ + 81816758, + 70169449 + ], + [ + 16543448, + 19737480 + ], + [ + 78285293, + 26740321 + ], + [ + 50292835, + 34858009 + ], + [ + 57180953, + 11380709 + ], + [ + 54658768, + 24539297 + ], + [ + 57930233, + 92541386 + ], + [ + 79446757, + 7653942 + ], + [ + 94505479, + 35551036 + ], + [ + 40726833, + 10575396 + ], + [ + 91472396, + 86285815 + ], + [ + 30713647, + 45231687 + ], + [ + 67959974, + 18747689 + ], + [ + 41798695, + 50173704 + ], + [ + 16044601, + 60478340 + ], + [ + 26820329, + 64007584 + ], + [ + 47836018, + 9477088 + ], + [ + 95851301, + 84863708 + ], + [ + 90435662, + 43526503 + ], + [ + 33996946, + 22671988 + ], + [ + 44115049, + 1946935 + ], + [ + 7975003, + 72556068 + ], + [ + 62252502, + 63972871 + ], + [ + 24071428, + 15112576 + ], + [ + 68341367, + 54274311 + ], + [ + 23978075, + 24455549 + ], + [ + 55987652, + 32925239 + ], + [ + 62056830, + 13398299 + ], + [ + 85765786, + 8803521 + ], + [ + 64021754, + 64294200 + ], + [ + 28154467, + 43392120 + ], + [ + 59451402, + 71305632 + ], + [ + 71036621, + 65198131 + ], + [ + 9373664, + 81695606 + ], + [ + 26063902, + 15338378 + ], + [ + 20956587, + 37611282 + ], + [ + 56369792, + 73338797 + ], + [ + 66704616, + 42277251 + ], + [ + 1270904, + 63206875 + ], + [ + 79302128, + 32754297 + ], + [ + 71346488, + 70814102 + ], + [ + 69964850, + 46111659 + ], + [ + 31797806, + 38619008 + ], + [ + 54255701, + 30194384 + ], + [ + 8619806, + 61816457 + ], + [ + 59826579, + 80356382 + ], + [ + 40442393, + 48560522 + ], + [ + 62793431, + 36754513 + ], + [ + 25625430, + 78300923 + ], + [ + 83578431, + 34912726 + ], + [ + 27666194, + 97963739 + ], + [ + 14729989, + 70599017 + ], + [ + 49612417, + 58622684 + ], + [ + 37785683, + 92795629 + ], + [ + 78751001, + 17636658 + ], + [ + 45362273, + 43242853 + ], + [ + 79402434, + 19568334 + ], + [ + 13159547, + 91737318 + ], + [ + 76878810, + 96841995 + ], + [ + 27973215, + 84278268 + ], + [ + 15155510, + 57344621 + ], + [ + 57251060, + 33664732 + ], + [ + 28364862, + 41922740 + ], + [ + 50332394, + 84527475 + ], + [ + 69712092, + 4531578 + ], + [ + 20222213, + 95373113 + ], + [ + 31346814, + 858234 + ], + [ + 29693624, + 61675439 + ], + [ + 31104248, + 9105783 + ], + [ + 12094660, + 42823913 + ], + [ + 98161134, + 85721142 + ], + [ + 40100257, + 12615683 + ], + [ + 46535735, + 95257895 + ], + [ + 28448490, + 67784186 + ], + [ + 96581258, + 71204339 + ], + [ + 81927539, + 2464676 + ], + [ + 85897867, + 81894105 + ], + [ + 50662091, + 43321184 + ], + [ + 50363114, + 73439486 + ], + [ + 27049760, + 66036162 + ], + [ + 76963021, + 15001653 + ], + [ + 89515811, + 41692390 + ], + [ + 39374097, + 1398284 + ], + [ + 2459039, + 5380146 + ], + [ + 31105429, + 64245582 + ], + [ + 64055584, + 38697830 + ], + [ + 40032067, + 22626653 + ], + [ + 3339865, + 82476166 + ], + [ + 31282306, + 247100 + ], + [ + 21438582, + 26825936 + ], + [ + 20777805, + 62148603 + ], + [ + 47111110, + 19213098 + ], + [ + 11445576, + 60721155 + ], + [ + 81153784, + 21347735 + ], + [ + 9459953, + 1862377 + ], + [ + 63632149, + 66038637 + ], + [ + 85816042, + 95353008 + ], + [ + 65601735, + 78778067 + ], + [ + 89337036, + 52948096 + ], + [ + 74718119, + 22696961 + ], + [ + 23016812, + 66661077 + ], + [ + 40047654, + 86985369 + ], + [ + 87584556, + 39740578 + ], + [ + 41023949, + 8988465 + ], + [ + 40914435, + 56583049 + ], + [ + 32840196, + 43562139 + ], + [ + 26614796, + 79133225 + ], + [ + 10844059, + 41911978 + ], + [ + 89217652, + 60091127 + ], + [ + 21804764, + 3065107 + ], + [ + 54955029, + 24797739 + ], + [ + 54134827, + 21876526 + ], + [ + 30293661, + 67468707 + ], + [ + 70421374, + 35655519 + ], + [ + 36926101, + 11001980 + ], + [ + 12729595, + 78389297 + ], + [ + 80742238, + 41622770 + ], + [ + 60675792, + 95648039 + ], + [ + 96122465, + 5909911 + ], + [ + 24330510, + 12882343 + ], + [ + 7390309, + 59422802 + ], + [ + 29885874, + 69316649 + ], + [ + 45496054, + 73117516 + ], + [ + 940480, + 62358269 + ], + [ + 47714296, + 5916262 + ], + [ + 20602738, + 72279473 + ], + [ + 69516106, + 76687199 + ], + [ + 50345170, + 30373076 + ], + [ + 57406892, + 56271448 + ], + [ + 15252380, + 87125631 + ], + [ + 67055079, + 45718615 + ], + [ + 14799488, + 99574568 + ], + [ + 34764975, + 51695983 + ], + [ + 1402105, + 73703823 + ], + [ + 45977988, + 95424461 + ], + [ + 46378172, + 25721356 + ], + [ + 95093060, + 54659730 + ], + [ + 48496928, + 79776806 + ], + [ + 74995650, + 43410261 + ], + [ + 2647292, + 80353823 + ], + [ + 14854466, + 35360349 + ], + [ + 99265303, + 32607981 + ], + [ + 16138652, + 16344438 + ], + [ + 29055699, + 51529650 + ], + [ + 26461102, + 31205183 + ], + [ + 22947699, + 66435709 + ], + [ + 44291270, + 21552146 + ], + [ + 41957884, + 29837345 + ], + [ + 5943595, + 28892095 + ], + [ + 32595972, + 25039541 + ], + [ + 91759211, + 21725525 + ], + [ + 87551012, + 84645632 + ], + [ + 42130334, + 73141181 + ], + [ + 2420364, + 17210199 + ], + [ + 17903162, + 71077957 + ], + [ + 58798459, + 41026265 + ], + [ + 52484871, + 59891658 + ], + [ + 93522655, + 55506199 + ], + [ + 36570606, + 43235408 + ], + [ + 52365843, + 45443269 + ], + [ + 89708411, + 21053314 + ], + [ + 16002578, + 4849616 + ], + [ + 63086832, + 84830860 + ], + [ + 1248072, + 35416934 + ], + [ + 83061711, + 81144149 + ], + [ + 13229480, + 4851761 + ], + [ + 27181503, + 72646980 + ], + [ + 82438869, + 22870537 + ], + [ + 40813774, + 23454629 + ], + [ + 97970558, + 51233562 + ], + [ + 83457312, + 9745255 + ], + [ + 76142392, + 71714616 + ], + [ + 86990571, + 93960155 + ], + [ + 98575041, + 40721337 + ], + [ + 3464057, + 36876222 + ], + [ + 9326, + 90242183 + ], + [ + 67721656, + 36111025 + ], + [ + 43373390, + 54806541 + ], + [ + 84389717, + 69203694 + ], + [ + 71477211, + 12305628 + ], + [ + 32794041, + 4816841 + ], + [ + 91055779, + 45473692 + ], + [ + 15264304, + 37515545 + ], + [ + 70632277, + 85965106 + ], + [ + 76308794, + 60833769 + ], + [ + 56166409, + 49882706 + ], + [ + 92887615, + 74413644 + ], + [ + 70666760, + 50986845 + ], + [ + 98381176, + 11744456 + ], + [ + 37754215, + 52780702 + ], + [ + 13718236, + 84057732 + ], + [ + 95180566, + 30146549 + ], + [ + 20797812, + 13334488 + ], + [ + 67961700, + 12120430 + ], + [ + 9082585, + 48193801 + ], + [ + 59985189, + 35594279 + ], + [ + 19623123, + 67938820 + ], + [ + 31986219, + 36306853 + ], + [ + 45816335, + 9554808 + ], + [ + 46795056, + 59150471 + ], + [ + 57550362, + 61566264 + ], + [ + 69001305, + 74895363 + ], + [ + 50958801, + 12794951 + ], + [ + 86015969, + 69901272 + ], + [ + 59245897, + 84640800 + ], + [ + 93883453, + 80574112 + ], + [ + 29846740, + 80843465 + ], + [ + 3433473, + 57153048 + ], + [ + 92175160, + 2846956 + ], + [ + 29201284, + 15889438 + ], + [ + 29659494, + 8578463 + ], + [ + 62049639, + 47042474 + ], + [ + 88412434, + 45532154 + ], + [ + 55058384, + 49222587 + ], + [ + 31812855, + 25465468 + ], + [ + 85330997, + 39401598 + ], + [ + 3866449, + 39127543 + ], + [ + 52286916, + 29943691 + ], + [ + 6679131, + 19802038 + ], + [ + 89650209, + 42226178 + ], + [ + 79255669, + 92363237 + ], + [ + 80414375, + 36568085 + ], + [ + 89139344, + 41516190 + ], + [ + 45030278, + 46690455 + ], + [ + 21606575, + 53717496 + ], + [ + 92000911, + 76507294 + ], + [ + 44576379, + 10088046 + ], + [ + 48795094, + 2435816 + ], + [ + 51575590, + 76493119 + ], + [ + 73191953, + 58879742 + ], + [ + 84583565, + 58309999 + ], + [ + 97299972, + 24226458 + ], + [ + 27400690, + 34422209 + ], + [ + 2134642, + 38433510 + ], + [ + 33043120, + 96340302 + ], + [ + 57667937, + 81437773 + ], + [ + 71886214, + 36159432 + ], + [ + 43583025, + 70990513 + ], + [ + 23721025, + 20677981 + ], + [ + 76636596, + 88924723 + ], + [ + 8940668, + 83699492 + ], + [ + 2297445, + 33370667 + ], + [ + 37605692, + 45483907 + ], + [ + 80848683, + 27360849 + ], + [ + 60667374, + 60020252 + ], + [ + 60742979, + 98515509 + ], + [ + 34936115, + 61672374 + ], + [ + 85807502, + 81479550 + ], + [ + 78138979, + 13375418 + ], + [ + 895216, + 8668524 + ], + [ + 12478351, + 77835380 + ], + [ + 37137038, + 89392559 + ], + [ + 8619462, + 11833723 + ], + [ + 58171783, + 34044715 + ], + [ + 90372318, + 28969862 + ], + [ + 6822108, + 32067666 + ], + [ + 86686230, + 53500939 + ], + [ + 66679562, + 66088210 + ], + [ + 23221477, + 15803411 + ], + [ + 79141478, + 8804544 + ], + [ + 20627034, + 44272023 + ], + [ + 23602915, + 4337627 + ], + [ + 9526195, + 21134261 + ], + [ + 78310236, + 61720949 + ], + [ + 13567513, + 59944537 + ], + [ + 76037823, + 1679903 + ], + [ + 85226418, + 50393632 + ], + [ + 68811301, + 31670256 + ], + [ + 78985683, + 5828585 + ], + [ + 29408685, + 37332740 + ], + [ + 56590682, + 66565537 + ], + [ + 69616529, + 74037465 + ], + [ + 99712377, + 30999461 + ], + [ + 56105423, + 26189677 + ], + [ + 1076850, + 30440449 + ], + [ + 26973580, + 46533865 + ], + [ + 43228080, + 31388951 + ], + [ + 83401077, + 93151344 + ], + [ + 92579092, + 30370447 + ], + [ + 24226539, + 62591439 + ], + [ + 5817903, + 20562384 + ], + [ + 66918853, + 95176102 + ], + [ + 28369873, + 40481132 + ], + [ + 48998412, + 44349855 + ], + [ + 10182637, + 10084597 + ], + [ + 47414386, + 55540639 + ], + [ + 31076042, + 20376723 + ], + [ + 90832158, + 46755543 + ], + [ + 67564878, + 63852976 + ], + [ + 84936307, + 33016350 + ], + [ + 80365931, + 49586626 + ], + [ + 66040008, + 55481592 + ], + [ + 42428240, + 67108552 + ], + [ + 59595653, + 30724211 + ], + [ + 21935418, + 18297652 + ], + [ + 71237120, + 49049964 + ], + [ + 25915750, + 64399261 + ], + [ + 91496168, + 42454415 + ], + [ + 85072047, + 38874365 + ], + [ + 72572176, + 64786753 + ], + [ + 36838939, + 97590243 + ], + [ + 97965698, + 34973537 + ], + [ + 86330266, + 37054580 + ], + [ + 58003273, + 82680369 + ], + [ + 82534210, + 44844573 + ], + [ + 12759223, + 67147046 + ], + [ + 33153251, + 97899180 + ], + [ + 74645543, + 87286132 + ], + [ + 90479532, + 61723145 + ], + [ + 43572135, + 32447720 + ], + [ + 84007959, + 83744220 + ], + [ + 76843052, + 17413179 + ], + [ + 89844678, + 39228242 + ], + [ + 54638871, + 55058514 + ], + [ + 92486196, + 5230329 + ], + [ + 15100011, + 91765539 + ], + [ + 74188001, + 21237093 + ], + [ + 72901744, + 69469006 + ], + [ + 40386635, + 44244583 + ], + [ + 90700047, + 21000984 + ], + [ + 22957275, + 67739716 + ], + [ + 11924275, + 19068351 + ], + [ + 46692885, + 9624531 + ], + [ + 32684758, + 70491013 + ], + [ + 49708361, + 64335161 + ], + [ + 90790024, + 75174734 + ], + [ + 60133758, + 16300708 + ], + [ + 18520743, + 89388803 + ], + [ + 14128825, + 44293692 + ], + [ + 22500698, + 65168581 + ], + [ + 64363543, + 1432026 + ], + [ + 72199652, + 8238747 + ], + [ + 53189616, + 33684356 + ], + [ + 50330747, + 8058228 + ], + [ + 50525807, + 72669058 + ], + [ + 54779026, + 3296151 + ], + [ + 6733329, + 92095397 + ], + [ + 64147691, + 42141504 + ], + [ + 10077956, + 31949458 + ], + [ + 93407030, + 46352637 + ], + [ + 30209657, + 12474456 + ], + [ + 84616150, + 18963565 + ], + [ + 42944537, + 30776231 + ], + [ + 49670917, + 35273570 + ], + [ + 57271522, + 47361033 + ], + [ + 85698196, + 31702696 + ], + [ + 98295903, + 98462284 + ], + [ + 41596994, + 27830071 + ], + [ + 86305880, + 1394098 + ], + [ + 92394897, + 40955704 + ], + [ + 63955408, + 1427591 + ], + [ + 39089519, + 44994749 + ], + [ + 5674488, + 23747901 + ], + [ + 38230671, + 76237326 + ], + [ + 66731338, + 49818148 + ], + [ + 7973033, + 62315531 + ], + [ + 920830, + 58700498 + ], + [ + 56894797, + 44862064 + ], + [ + 30001345, + 37233396 + ], + [ + 54957323, + 66264368 + ], + [ + 14977913, + 69478192 + ], + [ + 29298038, + 33956555 + ], + [ + 40345999, + 62737473 + ], + [ + 90971215, + 34602806 + ], + [ + 41757635, + 6867273 + ], + [ + 31696363, + 59019032 + ], + [ + 1365376, + 93590339 + ], + [ + 31420578, + 60850516 + ], + [ + 5590188, + 22538495 + ], + [ + 88986765, + 86151632 + ], + [ + 77140869, + 91604270 + ], + [ + 21220949, + 19252190 + ], + [ + 48066631, + 36111740 + ], + [ + 96727489, + 36596636 + ], + [ + 3435283, + 57079799 + ], + [ + 47989064, + 26821349 + ], + [ + 38342003, + 88663181 + ], + [ + 37951380, + 84509343 + ], + [ + 2281815, + 9387913 + ], + [ + 48927856, + 41225925 + ], + [ + 82837070, + 32649666 + ], + [ + 57743611, + 5192013 + ], + [ + 10473192, + 71454631 + ], + [ + 80510861, + 28663977 + ], + [ + 80096891, + 11376580 + ], + [ + 79505885, + 84620721 + ], + [ + 77151879, + 93334207 + ], + [ + 28227514, + 89864474 + ], + [ + 67659286, + 10257971 + ], + [ + 37925684, + 45280343 + ], + [ + 97196944, + 54263588 + ], + [ + 45339812, + 36898094 + ], + [ + 80845652, + 56906862 + ], + [ + 76077737, + 78053084 + ], + [ + 64310825, + 58247396 + ], + [ + 18175244, + 29500803 + ], + [ + 34432891, + 23413592 + ], + [ + 49203069, + 85629326 + ], + [ + 10121414, + 54796350 + ], + [ + 20898228, + 30076902 + ], + [ + 6744619, + 36069376 + ], + [ + 29084954, + 81690177 + ], + [ + 12189383, + 59489132 + ], + [ + 5760250, + 24507611 + ], + [ + 78774226, + 1974755 + ], + [ + 4545761, + 31487201 + ], + [ + 1478021, + 17558336 + ], + [ + 46722927, + 55794662 + ], + [ + 20361703, + 37229526 + ], + [ + 70278224, + 16119885 + ], + [ + 78723437, + 67633114 + ], + [ + 6548397, + 84872532 + ], + [ + 42325867, + 18130187 + ], + [ + 81246010, + 33289106 + ], + [ + 47643857, + 99613509 + ], + [ + 34054639, + 17345072 + ], + [ + 85359067, + 28295170 + ], + [ + 26586995, + 31665054 + ], + [ + 86628216, + 18558203 + ], + [ + 62273064, + 77840405 + ], + [ + 71970212, + 23102039 + ], + [ + 51466462, + 58727453 + ], + [ + 68602333, + 35153249 + ], + [ + 70396674, + 14752613 + ], + [ + 37985039, + 40333410 + ], + [ + 33107052, + 42681688 + ], + [ + 42855064, + 26600244 + ], + [ + 21142465, + 26904972 + ], + [ + 92102861, + 69597829 + ], + [ + 1726704, + 20231364 + ], + [ + 44805408, + 63489584 + ], + [ + 96155337, + 3077061 + ], + [ + 33650365, + 26470603 + ], + [ + 67309572, + 68215256 + ], + [ + 64385623, + 5468580 + ], + [ + 40882732, + 85424166 + ], + [ + 46114043, + 11409674 + ], + [ + 71220617, + 98218094 + ], + [ + 97283527, + 27949667 + ], + [ + 93647842, + 86073662 + ], + [ + 87616503, + 96087940 + ], + [ + 4761601, + 71845928 + ], + [ + 77496280, + 46533852 + ], + [ + 79542602, + 93265481 + ], + [ + 41063771, + 63295131 + ], + [ + 53239628, + 62356995 + ], + [ + 26185865, + 75385819 + ], + [ + 62204853, + 67065946 + ], + [ + 34858650, + 84883673 + ], + [ + 24803164, + 11540149 + ], + [ + 73047311, + 38387284 + ], + [ + 22207315, + 62364711 + ], + [ + 85668138, + 66622478 + ], + [ + 54630468, + 19046041 + ], + [ + 128536, + 27735554 + ], + [ + 11189700, + 9348352 + ], + [ + 90286092, + 36226028 + ], + [ + 85432220, + 74912489 + ], + [ + 99198787, + 2129059 + ], + [ + 9616004, + 66738394 + ], + [ + 62288218, + 72575026 + ], + [ + 17820367, + 1975466 + ], + [ + 60005189, + 74437450 + ], + [ + 36163062, + 55910252 + ], + [ + 74209448, + 8204929 + ], + [ + 85809462, + 19413686 + ], + [ + 68496643, + 27084027 + ], + [ + 41897799, + 38395198 + ], + [ + 53322767, + 58761883 + ], + [ + 37041484, + 19331021 + ], + [ + 95402304, + 33084972 + ], + [ + 68935409, + 17623994 + ], + [ + 44250710, + 47684533 + ], + [ + 42790821, + 80933105 + ], + [ + 53707566, + 88765510 + ], + [ + 65340553, + 60292592 + ], + [ + 50020752, + 5087886 + ], + [ + 4452920, + 65144466 + ], + [ + 10130141, + 17730394 + ], + [ + 19594033, + 97656590 + ], + [ + 86686860, + 67344514 + ], + [ + 91555330, + 67573740 + ], + [ + 49942905, + 11467282 + ], + [ + 61210208, + 92433287 + ], + [ + 38427596, + 28969029 + ], + [ + 55475418, + 24442392 + ], + [ + 88430628, + 98678003 + ], + [ + 13850202, + 42076922 + ], + [ + 53983723, + 8185868 + ], + [ + 45175071, + 91991157 + ], + [ + 35241241, + 81028437 + ], + [ + 92835994, + 57167457 + ], + [ + 91218395, + 40540372 + ], + [ + 26630375, + 94542007 + ], + [ + 34507749, + 82156792 + ], + [ + 87998828, + 87497888 + ], + [ + 41377150, + 19269738 + ], + [ + 80988712, + 28536586 + ], + [ + 87202136, + 1726156 + ], + [ + 12745488, + 98522277 + ], + [ + 9492851, + 92362205 + ], + [ + 21823897, + 97002901 + ], + [ + 74918798, + 3712732 + ], + [ + 37725090, + 67504075 + ], + [ + 24421027, + 67682108 + ], + [ + 54513162, + 75579304 + ], + [ + 18325645, + 64491859 + ], + [ + 34764424, + 54146769 + ], + [ + 85514252, + 6558276 + ], + [ + 92738994, + 7764485 + ], + [ + 48047425, + 79092525 + ], + [ + 18639980, + 8455563 + ], + [ + 84124054, + 7898114 + ], + [ + 13991049, + 19461452 + ], + [ + 93635505, + 72790378 + ], + [ + 50568321, + 16119033 + ], + [ + 96401459, + 16447418 + ], + [ + 85878966, + 16153177 + ], + [ + 62964664, + 66999440 + ], + [ + 86344409, + 62711733 + ], + [ + 20694558, + 83192606 + ], + [ + 43055469, + 48187177 + ], + [ + 13748831, + 35739421 + ], + [ + 1710556, + 93362392 + ], + [ + 26544892, + 41677478 + ], + [ + 11691034, + 67751346 + ], + [ + 19276079, + 29395221 + ], + [ + 73537855, + 64092221 + ], + [ + 68944966, + 85022250 + ], + [ + 75918584, + 33582478 + ], + [ + 56972662, + 19814953 + ], + [ + 95221934, + 20751764 + ], + [ + 50897194, + 39496782 + ], + [ + 20734570, + 97587353 + ], + [ + 80023936, + 17286474 + ], + [ + 2278872, + 19492350 + ], + [ + 46775541, + 74604220 + ], + [ + 52549394, + 74385949 + ], + [ + 66229921, + 63064064 + ], + [ + 62898582, + 25533319 + ], + [ + 52390993, + 43934446 + ], + [ + 79271823, + 28055651 + ], + [ + 43101116, + 90408704 + ], + [ + 81277978, + 38281900 + ], + [ + 97302106, + 71814290 + ], + [ + 47746296, + 32389372 + ], + [ + 86831075, + 4638015 + ], + [ + 94985101, + 70593668 + ], + [ + 61796736, + 43054723 + ], + [ + 22898238, + 22439787 + ], + [ + 25600152, + 27545316 + ], + [ + 98436880, + 10714304 + ], + [ + 31785423, + 20411268 + ], + [ + 7794228, + 58587417 + ], + [ + 21883232, + 53887530 + ], + [ + 84481139, + 30020482 + ], + [ + 31421483, + 99903300 + ], + [ + 5267424, + 37794404 + ], + [ + 53558486, + 13177236 + ], + [ + 76435550, + 48278506 + ], + [ + 45040747, + 9189973 + ], + [ + 18356286, + 72640378 + ], + [ + 60232178, + 27895874 + ], + [ + 8007469, + 84681041 + ], + [ + 94851238, + 45068036 + ], + [ + 51128053, + 36947576 + ], + [ + 28265703, + 52973163 + ], + [ + 73795319, + 29342135 + ], + [ + 15969011, + 2872300 + ], + [ + 50922876, + 88242646 + ], + [ + 45137989, + 12876063 + ], + [ + 26012499, + 71347741 + ], + [ + 92624984, + 8494249 + ], + [ + 81748892, + 77152210 + ], + [ + 73014274, + 8373852 + ], + [ + 51810527, + 41598510 + ], + [ + 75542891, + 91424733 + ], + [ + 62041493, + 73983673 + ], + [ + 79560047, + 10102580 + ], + [ + 35817140, + 35469121 + ], + [ + 30574511, + 43516748 + ], + [ + 90801030, + 63685955 + ], + [ + 83846000, + 34713498 + ], + [ + 52478379, + 2817630 + ], + [ + 6157758, + 2200078 + ], + [ + 27129081, + 33854458 + ], + [ + 36398284, + 14599532 + ], + [ + 74595343, + 39967591 + ], + [ + 71093688, + 47209718 + ], + [ + 64143779, + 14802080 + ], + [ + 39844415, + 69690870 + ], + [ + 48788030, + 71182942 + ], + [ + 36153830, + 1430604 + ], + [ + 47812459, + 7249736 + ], + [ + 53177767, + 52859866 + ], + [ + 39286115, + 41645809 + ], + [ + 65697276, + 49459194 + ], + [ + 78473142, + 80884938 + ], + [ + 80030921, + 65236123 + ], + [ + 93077820, + 97644058 + ], + [ + 69835434, + 1938560 + ], + [ + 80124229, + 92924917 + ], + [ + 76842215, + 79234806 + ], + [ + 11163439, + 68249927 + ], + [ + 73423640, + 91992947 + ], + [ + 99806125, + 90787974 + ], + [ + 89775693, + 32272446 + ], + [ + 70700399, + 58426258 + ], + [ + 68310687, + 49747718 + ], + [ + 47894411, + 39332888 + ], + [ + 5012719, + 6286772 + ], + [ + 35091890, + 99474072 + ], + [ + 9808411, + 42543488 + ], + [ + 72100836, + 75374162 + ], + [ + 34886345, + 23784285 + ], + [ + 83327194, + 71757285 + ], + [ + 29147905, + 17464723 + ], + [ + 92186499, + 71758234 + ], + [ + 53431234, + 32122277 + ], + [ + 91346174, + 86273227 + ], + [ + 42055731, + 53146359 + ], + [ + 19004066, + 66180310 + ], + [ + 57984004, + 46093001 + ], + [ + 26389206, + 68039104 + ], + [ + 53093926, + 58650480 + ], + [ + 8023905, + 42560123 + ], + [ + 79708625, + 48083582 + ], + [ + 32694132, + 10852458 + ], + [ + 66165334, + 45302041 + ], + [ + 18955006, + 86158495 + ], + [ + 84667402, + 89059990 + ], + [ + 34363969, + 15412078 + ], + [ + 31634221, + 65169595 + ], + [ + 84992588, + 93114847 + ], + [ + 77405923, + 63775194 + ], + [ + 60475132, + 95703955 + ], + [ + 66003307, + 9319885 + ], + [ + 37480298, + 41047502 + ], + [ + 34651866, + 73567183 + ], + [ + 9720625, + 41597572 + ], + [ + 35673943, + 40819857 + ], + [ + 2929508, + 72251416 + ], + [ + 95732768, + 50860650 + ], + [ + 57005256, + 34274424 + ], + [ + 40112571, + 23299764 + ], + [ + 5927227, + 83953375 + ], + [ + 39605681, + 30982217 + ], + [ + 46086530, + 39283901 + ], + [ + 76060759, + 53805431 + ], + [ + 61706460, + 17211552 + ], + [ + 52744580, + 26948628 + ], + [ + 25318136, + 51114031 + ], + [ + 38006979, + 63903236 + ], + [ + 42418063, + 24463465 + ], + [ + 95690470, + 14108908 + ], + [ + 53447616, + 79507604 + ], + [ + 27412423, + 1231796 + ], + [ + 6133662, + 89317212 + ], + [ + 37284847, + 26120808 + ], + [ + 10553455, + 44126731 + ], + [ + 6519934, + 92253043 + ], + [ + 9626683, + 99203314 + ], + [ + 44795782, + 24371513 + ], + [ + 92047192, + 84308636 + ], + [ + 33934951, + 78142838 + ], + [ + 71533602, + 62759755 + ], + [ + 63890550, + 26133009 + ], + [ + 1363505, + 12024810 + ], + [ + 21894371, + 19426111 + ], + [ + 56338788, + 80747772 + ], + [ + 66669194, + 13115238 + ], + [ + 23806963, + 78513785 + ], + [ + 88106580, + 54855172 + ], + [ + 22020904, + 62184663 + ], + [ + 27082392, + 87054222 + ], + [ + 70197450, + 52281616 + ], + [ + 51086541, + 26355885 + ], + [ + 90969232, + 88189622 + ], + [ + 73954690, + 71557481 + ], + [ + 98013949, + 27212253 + ], + [ + 91093064, + 14275221 + ], + [ + 78725821, + 81803563 + ], + [ + 40228389, + 98139249 + ], + [ + 10028923, + 20372658 + ], + [ + 8192119, + 76736058 + ], + [ + 34559745, + 67970243 + ], + [ + 34166718, + 1918226 + ], + [ + 19802943, + 34603578 + ], + [ + 26249819, + 16229111 + ], + [ + 12773284, + 99165304 + ], + [ + 77402173, + 78064524 + ], + [ + 6188584, + 14701505 + ], + [ + 81589429, + 69916518 + ], + [ + 43665778, + 94814375 + ], + [ + 42900100, + 77650370 + ], + [ + 54652745, + 16979535 + ], + [ + 54576338, + 6179726 + ], + [ + 84343006, + 58856763 + ], + [ + 64918765, + 56541270 + ], + [ + 30051862, + 19370377 + ], + [ + 88856606, + 64499506 + ], + [ + 314860, + 80687211 + ], + [ + 45538730, + 83358953 + ], + [ + 31123735, + 28876976 + ], + [ + 95066466, + 44470357 + ], + [ + 45029483, + 15656388 + ], + [ + 60046935, + 48423674 + ], + [ + 23450588, + 97359433 + ], + [ + 93477441, + 48715172 + ], + [ + 42618088, + 21651959 + ], + [ + 11410908, + 37411209 + ], + [ + 60056350, + 54302227 + ], + [ + 62853216, + 51787594 + ], + [ + 37156913, + 68111343 + ], + [ + 97681406, + 11406521 + ], + [ + 44688119, + 95108669 + ], + [ + 1935106, + 86768871 + ], + [ + 93133919, + 77515945 + ], + [ + 83006018, + 61817362 + ], + [ + 68124164, + 56215151 + ], + [ + 9582002, + 59042511 + ], + [ + 33847884, + 31548910 + ], + [ + 49225059, + 28960275 + ], + [ + 34063581, + 21912858 + ], + [ + 25373646, + 64148705 + ], + [ + 6682492, + 55272108 + ], + [ + 58946095, + 29964490 + ], + [ + 44598184, + 11418183 + ], + [ + 13849446, + 29774409 + ], + [ + 83435993, + 23771772 + ], + [ + 21504333, + 85621919 + ], + [ + 22293245, + 93374177 + ], + [ + 3906585, + 95758139 + ], + [ + 62471034, + 26739623 + ], + [ + 78492789, + 89066619 + ], + [ + 29554830, + 12225495 + ], + [ + 8423478, + 25355325 + ], + [ + 28800210, + 25294832 + ], + [ + 10765862, + 71734747 + ], + [ + 14560629, + 74917335 + ], + [ + 12919535, + 39667526 + ], + [ + 77878208, + 29429121 + ], + [ + 89361180, + 40879438 + ], + [ + 40851742, + 8958184 + ], + [ + 20926081, + 39903412 + ], + [ + 78802888, + 65465419 + ], + [ + 60560133, + 25558218 + ], + [ + 59901116, + 7696431 + ], + [ + 17767932, + 9704182 + ], + [ + 20539251, + 84604861 + ], + [ + 66690847, + 1155497 + ], + [ + 67272782, + 18242029 + ], + [ + 99000564, + 34295688 + ], + [ + 54597605, + 93827005 + ], + [ + 78476986, + 66026937 + ], + [ + 37484814, + 44686533 + ], + [ + 41575100, + 61305151 + ], + [ + 48127252, + 34514636 + ], + [ + 34934194, + 80095847 + ], + [ + 8700392, + 14585774 + ], + [ + 39620429, + 62811439 + ], + [ + 92726218, + 98587447 + ], + [ + 4891284, + 20648874 + ], + [ + 73318098, + 55263442 + ], + [ + 45321923, + 84812317 + ], + [ + 24367967, + 24970803 + ], + [ + 49847952, + 34060115 + ], + [ + 91872315, + 57397208 + ], + [ + 57502946, + 33069092 + ], + [ + 45155825, + 58295663 + ], + [ + 10904686, + 4785773 + ], + [ + 45384418, + 99916539 + ], + [ + 70846502, + 28579336 + ], + [ + 17794526, + 78542727 + ], + [ + 36373507, + 12759666 + ], + [ + 29259305, + 36532146 + ], + [ + 36968018, + 35910424 + ], + [ + 90785752, + 16868371 + ], + [ + 61903194, + 90297275 + ], + [ + 55066228, + 86021535 + ], + [ + 4832487, + 74927444 + ], + [ + 4056285, + 90900376 + ], + [ + 10693282, + 26992865 + ], + [ + 11457872, + 41233479 + ], + [ + 77010180, + 62030987 + ], + [ + 9791325, + 43001495 + ], + [ + 45095381, + 760475 + ], + [ + 32993922, + 80967831 + ], + [ + 58847341, + 43197229 + ], + [ + 205985, + 43214239 + ], + [ + 25931523, + 19232404 + ], + [ + 21467765, + 14458263 + ], + [ + 11278059, + 44916069 + ], + [ + 99262286, + 66412561 + ], + [ + 97008500, + 75571332 + ], + [ + 32666692, + 77204267 + ], + [ + 99153691, + 35480017 + ], + [ + 55684996, + 21333513 + ], + [ + 86873710, + 2567348 + ], + [ + 99468294, + 77698833 + ], + [ + 46699122, + 88483497 + ], + [ + 16272312, + 86688257 + ], + [ + 66373548, + 20103213 + ], + [ + 83427682, + 25846799 + ], + [ + 52318480, + 86427106 + ], + [ + 22125204, + 48208604 + ], + [ + 18422018, + 36916349 + ], + [ + 52205514, + 90318876 + ], + [ + 3997627, + 12298412 + ], + [ + 74755972, + 13927542 + ], + [ + 16241112, + 63474186 + ], + [ + 47550725, + 13766153 + ], + [ + 53625781, + 43481967 + ], + [ + 46040267, + 8775134 + ], + [ + 45751771, + 2580925 + ], + [ + 11319166, + 16181856 + ], + [ + 8996243, + 13105079 + ], + [ + 935768, + 90279339 + ], + [ + 85137104, + 54157962 + ], + [ + 94897340, + 45034420 + ], + [ + 85158798, + 58510122 + ], + [ + 95731028, + 61257281 + ], + [ + 18698876, + 33691428 + ], + [ + 29634842, + 88343404 + ], + [ + 28717647, + 40442491 + ], + [ + 59315948, + 74647834 + ], + [ + 91581907, + 51961135 + ], + [ + 39569837, + 20042530 + ], + [ + 29419912, + 1474110 + ], + [ + 33512792, + 87963908 + ], + [ + 46114275, + 82019789 + ], + [ + 72398357, + 85295535 + ], + [ + 49257980, + 79526508 + ], + [ + 92737707, + 70494301 + ], + [ + 47570832, + 29152683 + ], + [ + 95138786, + 78655970 + ], + [ + 88229115, + 86994678 + ], + [ + 26542836, + 56405588 + ], + [ + 81651226, + 23166079 + ], + [ + 95394379, + 96284528 + ], + [ + 56973105, + 53752139 + ], + [ + 23580645, + 9982013 + ], + [ + 62824202, + 55471883 + ], + [ + 2139032, + 25204980 + ], + [ + 72838517, + 78641990 + ], + [ + 18734170, + 96946412 + ], + [ + 27796977, + 13795504 + ], + [ + 72925404, + 57624470 + ], + [ + 96271691, + 56706781 + ], + [ + 38423477, + 21381528 + ], + [ + 24097317, + 88691539 + ], + [ + 54681270, + 39872701 + ], + [ + 83128437, + 81167603 + ], + [ + 89511943, + 5112964 + ], + [ + 20435377, + 38239225 + ], + [ + 2364418, + 51612425 + ], + [ + 17175482, + 66895319 + ], + [ + 32610862, + 26608453 + ], + [ + 57391829, + 70272670 + ], + [ + 6598947, + 55550849 + ], + [ + 56529179, + 82949798 + ], + [ + 3142523, + 22730011 + ], + [ + 12811466, + 66455132 + ], + [ + 29521234, + 25999424 + ], + [ + 90347030, + 67821172 + ], + [ + 45114907, + 38104204 + ], + [ + 63690681, + 81446605 + ], + [ + 44578063, + 38521057 + ], + [ + 34508049, + 55444687 + ], + [ + 63964063, + 75733019 + ], + [ + 83332002, + 74427951 + ], + [ + 8142247, + 71763059 + ], + [ + 70867421, + 3929026 + ], + [ + 50058686, + 53166434 + ], + [ + 59167453, + 46561419 + ], + [ + 19680174, + 7660138 + ], + [ + 58683012, + 98576722 + ], + [ + 38365897, + 45427314 + ], + [ + 75157268, + 24556256 + ], + [ + 2492661, + 3635769 + ], + [ + 9459486, + 93630144 + ], + [ + 8260201, + 41719966 + ], + [ + 15471555, + 13566371 + ], + [ + 33701789, + 58424716 + ], + [ + 1044825, + 33226813 + ], + [ + 91287426, + 656747 + ], + [ + 48954641, + 9154953 + ], + [ + 75883046, + 39357527 + ], + [ + 42306073, + 35457677 + ], + [ + 22431267, + 65196008 + ], + [ + 50149756, + 66273499 + ], + [ + 65028295, + 28430339 + ], + [ + 67755556, + 78988625 + ], + [ + 18279032, + 88829440 + ], + [ + 84617436, + 6262867 + ], + [ + 94006405, + 10596448 + ], + [ + 21162808, + 53486868 + ], + [ + 76434978, + 68431292 + ], + [ + 33749908, + 9670847 + ], + [ + 73031801, + 76827539 + ], + [ + 60539876, + 42060717 + ], + [ + 68030340, + 18720935 + ], + [ + 97736961, + 8993648 + ], + [ + 26794589, + 56514109 + ], + [ + 75745949, + 59851359 + ], + [ + 93992903, + 44683147 + ], + [ + 57293070, + 60888586 + ], + [ + 91187914, + 1942296 + ], + [ + 29399215, + 97321781 + ], + [ + 95902368, + 63893950 + ], + [ + 69501506, + 10390534 + ], + [ + 25962910, + 36955541 + ], + [ + 10582620, + 84650680 + ], + [ + 33699456, + 97749646 + ], + [ + 30740153, + 55154158 + ], + [ + 97885513, + 18943709 + ], + [ + 98615088, + 89894359 + ], + [ + 80799566, + 72177371 + ], + [ + 14079294, + 36951929 + ], + [ + 17176707, + 79801332 + ], + [ + 94306059, + 27031516 + ], + [ + 41714731, + 52241830 + ], + [ + 76835579, + 41031692 + ], + [ + 79963273, + 47993255 + ], + [ + 68715055, + 41667347 + ], + [ + 63757772, + 92613119 + ], + [ + 44813806, + 20700595 + ], + [ + 74323447, + 53905005 + ], + [ + 62690351, + 78418619 + ], + [ + 67884041, + 49529106 + ], + [ + 90734771, + 50353624 + ], + [ + 78731469, + 85207531 + ], + [ + 68804049, + 46205435 + ], + [ + 83519597, + 78092226 + ], + [ + 53138753, + 70074093 + ], + [ + 4761226, + 15081725 + ], + [ + 20492034, + 2690653 + ], + [ + 79434076, + 63250616 + ], + [ + 33633298, + 34058533 + ], + [ + 69870227, + 88042813 + ], + [ + 87076113, + 62640649 + ], + [ + 65798168, + 63433224 + ], + [ + 66251313, + 44215822 + ], + [ + 42939097, + 17651904 + ], + [ + 6818842, + 89427243 + ], + [ + 81149950, + 66469962 + ], + [ + 48158847, + 29610499 + ], + [ + 2841588, + 10198555 + ], + [ + 20332414, + 69797594 + ], + [ + 82638441, + 23134599 + ], + [ + 38921698, + 50548992 + ], + [ + 89593967, + 39693735 + ], + [ + 46942368, + 15480073 + ], + [ + 34779112, + 30309147 + ], + [ + 72834866, + 85446638 + ], + [ + 7545877, + 77699970 + ], + [ + 67580180, + 332074 + ], + [ + 72514435, + 77041032 + ], + [ + 77734618, + 16328447 + ], + [ + 10991911, + 80495167 + ], + [ + 83239407, + 84198068 + ], + [ + 66204324, + 5991238 + ], + [ + 58231181, + 70069569 + ], + [ + 67596541, + 92737045 + ], + [ + 76703335, + 72461558 + ], + [ + 67148236, + 45451758 + ], + [ + 16311213, + 59242369 + ], + [ + 42258906, + 38941858 + ], + [ + 35602221, + 13757422 + ], + [ + 83217598, + 75262782 + ], + [ + 15554916, + 42422478 + ], + [ + 34359553, + 33972136 + ], + [ + 74769475, + 64147107 + ], + [ + 98387255, + 79364889 + ], + [ + 44818104, + 22358075 + ], + [ + 44569578, + 52920965 + ], + [ + 43413664, + 19384057 + ], + [ + 26892673, + 78791737 + ], + [ + 99791796, + 8592455 + ], + [ + 91719693, + 73079920 + ], + [ + 56895461, + 33670172 + ], + [ + 7586862, + 80228912 + ], + [ + 62890290, + 40375629 + ], + [ + 77630498, + 64320593 + ], + [ + 92220470, + 51123004 + ], + [ + 42454465, + 45359112 + ], + [ + 79169502, + 32798207 + ], + [ + 95678484, + 93907026 + ], + [ + 20876144, + 39895858 + ], + [ + 37174062, + 70977994 + ], + [ + 37661969, + 34508993 + ], + [ + 43995511, + 14119258 + ], + [ + 88996353, + 71001142 + ], + [ + 50782414, + 9793042 + ], + [ + 73146743, + 30407007 + ], + [ + 17457167, + 50235313 + ], + [ + 48711613, + 676567 + ], + [ + 78444767, + 99291392 + ], + [ + 45658019, + 7123931 + ], + [ + 51910878, + 36451020 + ], + [ + 78319229, + 60301362 + ], + [ + 63824925, + 90130589 + ], + [ + 5097406, + 77592990 + ], + [ + 25958597, + 76229509 + ], + [ + 93536841, + 12860881 + ], + [ + 90551109, + 51369041 + ], + [ + 95167243, + 88323552 + ], + [ + 70573264, + 33649984 + ], + [ + 3825930, + 76165336 + ], + [ + 44737607, + 64024880 + ], + [ + 89261472, + 8836617 + ], + [ + 6988705, + 19885127 + ], + [ + 4763113, + 73514052 + ], + [ + 89247597, + 54482672 + ], + [ + 67918962, + 75355555 + ], + [ + 14377652, + 46443371 + ], + [ + 81851017, + 6714394 + ], + [ + 60306713, + 26903776 + ], + [ + 44909485, + 22468278 + ], + [ + 83572604, + 10512178 + ], + [ + 40626589, + 58261495 + ], + [ + 37166078, + 56414178 + ], + [ + 25014751, + 95085191 + ], + [ + 39298683, + 85697276 + ], + [ + 1705710, + 4462085 + ], + [ + 85010991, + 89991356 + ], + [ + 51171079, + 8850173 + ], + [ + 84195094, + 93405169 + ], + [ + 18055592, + 42264398 + ], + [ + 51001517, + 52076336 + ], + [ + 81379690, + 24410164 + ], + [ + 21340717, + 27758483 + ], + [ + 60228424, + 58955441 + ], + [ + 72434260, + 90534710 + ], + [ + 1435592, + 68508563 + ], + [ + 45138300, + 77080692 + ], + [ + 80020214, + 95951439 + ], + [ + 44357951, + 5567731 + ], + [ + 65124368, + 87716432 + ], + [ + 77822202, + 55739700 + ], + [ + 73953229, + 9207558 + ], + [ + 29211371, + 62498524 + ], + [ + 5991811, + 81800932 + ], + [ + 64702216, + 19435668 + ], + [ + 14512503, + 74148041 + ], + [ + 5903546, + 82949603 + ], + [ + 26354246, + 86430229 + ], + [ + 26697377, + 39243772 + ], + [ + 78779614, + 3472222 + ], + [ + 14935618, + 59128457 + ], + [ + 3462909, + 511747 + ], + [ + 75442083, + 58738275 + ], + [ + 44972755, + 37829081 + ], + [ + 16920854, + 17995349 + ], + [ + 28716322, + 58796764 + ], + [ + 65345132, + 41142856 + ], + [ + 58299477, + 61541993 + ], + [ + 33445024, + 64243046 + ], + [ + 95926060, + 82353195 + ], + [ + 66431185, + 51303061 + ], + [ + 79422929, + 26360832 + ], + [ + 45391846, + 17587792 + ], + [ + 84758202, + 14171903 + ], + [ + 39120603, + 71082855 + ], + [ + 52326003, + 69005737 + ], + [ + 93080626, + 77727962 + ], + [ + 97828537, + 50097749 + ], + [ + 82897192, + 97841151 + ], + [ + 75839080, + 55145372 + ], + [ + 30548962, + 56560110 + ], + [ + 46571082, + 45922406 + ], + [ + 96488025, + 34583741 + ], + [ + 4915947, + 74588224 + ], + [ + 2060964, + 92047465 + ], + [ + 21009453, + 66393807 + ], + [ + 73053318, + 45894663 + ], + [ + 69645221, + 50941131 + ], + [ + 45017138, + 96439630 + ], + [ + 56865865, + 75370248 + ], + [ + 93243251, + 4218929 + ], + [ + 65816938, + 26961420 + ], + [ + 46185221, + 9762350 + ], + [ + 90543114, + 40574814 + ], + [ + 56274119, + 6486864 + ], + [ + 62975669, + 85799179 + ], + [ + 3207460, + 64314008 + ], + [ + 63552250, + 57523847 + ], + [ + 59804571, + 38243651 + ], + [ + 5665714, + 67843448 + ], + [ + 96684936, + 97209124 + ], + [ + 49587331, + 63584018 + ], + [ + 89578644, + 40042051 + ], + [ + 11405820, + 7753631 + ], + [ + 63643485, + 61244583 + ], + [ + 42579169, + 63645962 + ], + [ + 33386959, + 69037072 + ], + [ + 26036577, + 33301337 + ], + [ + 26936749, + 16036440 + ], + [ + 99963486, + 2678314 + ], + [ + 57631194, + 83542527 + ], + [ + 84135830, + 40951652 + ], + [ + 50314863, + 57819429 + ], + [ + 44815524, + 52320269 + ], + [ + 79543959, + 56306466 + ], + [ + 17159351, + 11932409 + ], + [ + 35193570, + 53241918 + ], + [ + 58929389, + 55325349 + ], + [ + 62269154, + 10221168 + ], + [ + 73779717, + 63765800 + ], + [ + 8283010, + 978307 + ], + [ + 76419552, + 41940066 + ], + [ + 56319575, + 26548376 + ], + [ + 51158917, + 9791139 + ], + [ + 6951074, + 65504287 + ], + [ + 35935355, + 60501829 + ], + [ + 85664161, + 39106662 + ], + [ + 5502641, + 62906844 + ], + [ + 65597135, + 45901512 + ], + [ + 41022067, + 22982974 + ], + [ + 21894135, + 19055159 + ], + [ + 87555273, + 88764730 + ], + [ + 73458414, + 57245816 + ], + [ + 75809313, + 45582728 + ], + [ + 20295727, + 20817444 + ], + [ + 19895359, + 51094754 + ], + [ + 45257345, + 75275523 + ], + [ + 70082477, + 84804450 + ], + [ + 84304493, + 84786276 + ], + [ + 99769628, + 74945861 + ], + [ + 92492164, + 40850418 + ], + [ + 75447863, + 31510935 + ], + [ + 4183711, + 80819768 + ], + [ + 86024018, + 34145573 + ], + [ + 41168243, + 99699310 + ], + [ + 64665228, + 18606707 + ], + [ + 75110942, + 54932610 + ], + [ + 8134316, + 40506385 + ], + [ + 33820530, + 55182517 + ], + [ + 9041044, + 1900158 + ], + [ + 17401798, + 37043642 + ], + [ + 65237871, + 18498458 + ], + [ + 77283526, + 73158181 + ], + [ + 45834075, + 75306225 + ], + [ + 22899019, + 48895284 + ], + [ + 31749180, + 79620597 + ], + [ + 89536996, + 5970709 + ], + [ + 25930823, + 81618015 + ], + [ + 87353535, + 42025863 + ], + [ + 61487964, + 43061596 + ], + [ + 28456553, + 85043883 + ], + [ + 8746802, + 24551204 + ], + [ + 79293394, + 74908860 + ], + [ + 43510805, + 96110145 + ], + [ + 70109654, + 3071681 + ], + [ + 14217948, + 13233850 + ], + [ + 8248965, + 3617995 + ], + [ + 13114480, + 92067931 + ], + [ + 49528177, + 93203088 + ], + [ + 28621845, + 66164812 + ], + [ + 24005815, + 87425127 + ], + [ + 70351855, + 7534759 + ], + [ + 14054957, + 9998546 + ], + [ + 36141404, + 42457329 + ], + [ + 65363211, + 87709158 + ], + [ + 52694874, + 75198987 + ], + [ + 70721523, + 29015811 + ], + [ + 27438777, + 31857538 + ], + [ + 62625565, + 88724913 + ], + [ + 86958180, + 37152232 + ], + [ + 44027559, + 67052233 + ], + [ + 17652484, + 45833868 + ], + [ + 22931903, + 3222738 + ], + [ + 62042375, + 5104151 + ], + [ + 47513476, + 92636592 + ], + [ + 16119888, + 71612466 + ], + [ + 81529968, + 10495968 + ], + [ + 81126474, + 22597131 + ], + [ + 39750306, + 13256618 + ], + [ + 29715009, + 36087561 + ], + [ + 99041024, + 12858409 + ], + [ + 56270801, + 72953492 + ], + [ + 88928442, + 19344651 + ], + [ + 5306318, + 98219776 + ], + [ + 96240483, + 65758506 + ], + [ + 91231685, + 96043878 + ], + [ + 9893997, + 78277849 + ], + [ + 2168396, + 24904152 + ], + [ + 40008128, + 44805920 + ], + [ + 84369072, + 58834353 + ], + [ + 99450306, + 41309490 + ], + [ + 9386277, + 67898017 + ], + [ + 21674418, + 65983291 + ], + [ + 37055204, + 1661945 + ], + [ + 38273662, + 81173961 + ], + [ + 47662237, + 29230398 + ], + [ + 73685643, + 92211522 + ], + [ + 67801779, + 35973854 + ], + [ + 31807320, + 61381619 + ], + [ + 80328461, + 38633241 + ], + [ + 84894024, + 11499623 + ], + [ + 56605004, + 25504751 + ], + [ + 27962502, + 62165153 + ], + [ + 68288817, + 62048868 + ], + [ + 95493630, + 71828420 + ], + [ + 47730902, + 38800234 + ], + [ + 12155218, + 22830726 + ], + [ + 71653205, + 72638116 + ], + [ + 67960424, + 6911944 + ], + [ + 99365335, + 23924296 + ], + [ + 22653352, + 99084298 + ], + [ + 65520864, + 79051940 + ], + [ + 17738589, + 82122619 + ], + [ + 3545254, + 14005535 + ], + [ + 12526939, + 6729669 + ], + [ + 22068017, + 45824164 + ], + [ + 76640917, + 156473 + ], + [ + 97652704, + 13600182 + ], + [ + 90728200, + 12996443 + ], + [ + 20308356, + 83702410 + ], + [ + 55956223, + 24406474 + ], + [ + 48873742, + 85844690 + ], + [ + 23300635, + 51190669 + ], + [ + 86361815, + 68695234 + ], + [ + 16927052, + 9713390 + ], + [ + 14310721, + 89161815 + ], + [ + 86778891, + 29153093 + ], + [ + 86332635, + 72602261 + ], + [ + 67545954, + 86289797 + ], + [ + 48464471, + 86082255 + ], + [ + 44573527, + 34730150 + ], + [ + 70932270, + 14415891 + ], + [ + 83977175, + 76077438 + ], + [ + 53219489, + 23386282 + ], + [ + 95061466, + 95360696 + ], + [ + 96282612, + 17268513 + ], + [ + 17691145, + 63654920 + ], + [ + 26595064, + 98175284 + ], + [ + 45592427, + 16350752 + ], + [ + 86813875, + 53575479 + ], + [ + 10994167, + 71565141 + ], + [ + 10137847, + 57679912 + ], + [ + 31240355, + 13432907 + ], + [ + 16446156, + 92227336 + ], + [ + 8853765, + 57457687 + ], + [ + 11023401, + 14466357 + ], + [ + 45276778, + 23215992 + ], + [ + 33554506, + 11250312 + ], + [ + 48479646, + 80896281 + ], + [ + 25648047, + 95167038 + ], + [ + 44227245, + 3465589 + ], + [ + 16416369, + 66570706 + ], + [ + 20709785, + 27573471 + ], + [ + 83021348, + 86064486 + ], + [ + 75695753, + 99742044 + ], + [ + 59684639, + 31865112 + ], + [ + 14346888, + 15896293 + ], + [ + 30004123, + 56216736 + ], + [ + 46245758, + 11298135 + ], + [ + 71914094, + 92497668 + ], + [ + 15535319, + 99808799 + ], + [ + 62338713, + 87613622 + ], + [ + 66404816, + 6236775 + ], + [ + 37163612, + 71563711 + ], + [ + 37161945, + 13049019 + ], + [ + 95836448, + 99738721 + ], + [ + 44053297, + 92594018 + ], + [ + 71222136, + 79843020 + ], + [ + 46723036, + 50162077 + ], + [ + 42428281, + 71746509 + ], + [ + 61807836, + 64133466 + ], + [ + 97067037, + 9262720 + ], + [ + 8817371, + 56529385 + ], + [ + 97770938, + 49991640 + ], + [ + 97589079, + 97846301 + ], + [ + 18687168, + 28475464 + ], + [ + 53576458, + 56343259 + ], + [ + 26479213, + 40702318 + ], + [ + 53660671, + 52988699 + ], + [ + 95937864, + 15825245 + ], + [ + 8873295, + 90664629 + ], + [ + 46191713, + 62633434 + ], + [ + 77553950, + 97770193 + ], + [ + 81445412, + 73245846 + ], + [ + 38986854, + 84995071 + ], + [ + 55566241, + 40531310 + ], + [ + 60884008, + 41206558 + ], + [ + 1349034, + 51887469 + ], + [ + 9116831, + 66291816 + ], + [ + 50307199, + 11724122 + ], + [ + 91116136, + 69354650 + ], + [ + 79196621, + 81920297 + ], + [ + 22535424, + 60536894 + ], + [ + 73866182, + 37890985 + ], + [ + 17415663, + 69828711 + ], + [ + 70241870, + 2328139 + ], + [ + 49521790, + 67124702 + ], + [ + 77002128, + 43106284 + ], + [ + 5344892, + 62818094 + ], + [ + 43068391, + 59224899 + ], + [ + 30891756, + 49574560 + ], + [ + 65021657, + 17900757 + ], + [ + 65234413, + 44632715 + ], + [ + 73249614, + 81583247 + ], + [ + 5534416, + 83729572 + ], + [ + 55845784, + 96503303 + ], + [ + 66901098, + 25088753 + ], + [ + 65675631, + 96010525 + ], + [ + 70108868, + 23916298 + ], + [ + 21974522, + 23525909 + ], + [ + 22011740, + 73822790 + ], + [ + 47855427, + 22913070 + ], + [ + 18096467, + 86862405 + ], + [ + 56949219, + 4882892 + ], + [ + 87954219, + 99277018 + ], + [ + 25416842, + 69106961 + ], + [ + 18816679, + 17893301 + ], + [ + 40935670, + 71407230 + ], + [ + 88604594, + 32891641 + ], + [ + 46901141, + 92037584 + ], + [ + 57214510, + 50701222 + ], + [ + 95961805, + 95977733 + ], + [ + 80947454, + 10586569 + ], + [ + 97101350, + 13186275 + ], + [ + 32897773, + 86871111 + ], + [ + 26469234, + 4107519 + ], + [ + 75458876, + 30661265 + ], + [ + 70455392, + 59926454 + ], + [ + 44011488, + 28178088 + ], + [ + 45934843, + 16580572 + ], + [ + 3612404, + 59442151 + ], + [ + 62564428, + 65465275 + ], + [ + 30250523, + 49130995 + ], + [ + 20905078, + 41459864 + ], + [ + 2061480, + 25638320 + ], + [ + 47987039, + 34718803 + ], + [ + 59082021, + 34461197 + ], + [ + 63710061, + 37841969 + ], + [ + 24900899, + 57859421 + ], + [ + 31753123, + 65835788 + ], + [ + 76047888, + 45637198 + ], + [ + 1447511, + 60441230 + ], + [ + 85465845, + 77943895 + ], + [ + 57751535, + 30291507 + ], + [ + 16542326, + 73608183 + ], + [ + 42219873, + 54134781 + ], + [ + 26889187, + 63584072 + ], + [ + 48603358, + 81161803 + ], + [ + 42897507, + 6483805 + ], + [ + 61097045, + 93690700 + ], + [ + 90919939, + 62020910 + ], + [ + 50995763, + 71576787 + ], + [ + 13553592, + 28886520 + ], + [ + 39686840, + 36894733 + ], + [ + 81353082, + 33695574 + ], + [ + 66524620, + 969674 + ], + [ + 60638127, + 37678649 + ], + [ + 71338976, + 35361597 + ], + [ + 73348425, + 79280315 + ], + [ + 36674442, + 56904391 + ], + [ + 46475142, + 25591290 + ], + [ + 99772533, + 83538715 + ], + [ + 79781796, + 27096110 + ], + [ + 13313320, + 21207257 + ], + [ + 9004378, + 17068307 + ], + [ + 44867937, + 39988094 + ], + [ + 90639793, + 2551036 + ], + [ + 61186940, + 29835734 + ], + [ + 51140684, + 64216773 + ], + [ + 3272971, + 82456664 + ], + [ + 18097605, + 1061000 + ], + [ + 24518625, + 89076216 + ], + [ + 12431368, + 31549149 + ], + [ + 59705649, + 81887787 + ], + [ + 51502342, + 6893462 + ], + [ + 6012535, + 56382787 + ], + [ + 15523546, + 16081505 + ], + [ + 16320009, + 76280318 + ], + [ + 17205740, + 41719938 + ], + [ + 74669232, + 59016720 + ], + [ + 86768566, + 84406405 + ], + [ + 86347047, + 68124366 + ], + [ + 86210447, + 77444492 + ], + [ + 63126354, + 51055515 + ], + [ + 42112392, + 96325410 + ], + [ + 11343699, + 84522204 + ], + [ + 97841253, + 57158742 + ], + [ + 24643085, + 34345309 + ], + [ + 18881033, + 68674599 + ], + [ + 88936913, + 13727331 + ], + [ + 14841761, + 72061342 + ], + [ + 32513371, + 15356433 + ], + [ + 24940253, + 29508916 + ], + [ + 86022825, + 31329117 + ], + [ + 55970193, + 93507303 + ], + [ + 93511934, + 91442911 + ], + [ + 45443990, + 97678744 + ], + [ + 77624251, + 93672357 + ], + [ + 5376772, + 9240314 + ], + [ + 70129907, + 6691698 + ], + [ + 94438471, + 68450026 + ], + [ + 19336183, + 38083555 + ], + [ + 96177134, + 33929755 + ], + [ + 50070215, + 63580504 + ], + [ + 23589060, + 37271193 + ], + [ + 34223217, + 22130963 + ], + [ + 40826671, + 75680994 + ], + [ + 41635849, + 57058869 + ], + [ + 50922686, + 97957289 + ], + [ + 74178805, + 75558296 + ], + [ + 27693397, + 83941239 + ], + [ + 1155654, + 47955284 + ], + [ + 22666729, + 9762679 + ], + [ + 59984393, + 4161002 + ], + [ + 89834556, + 65052705 + ], + [ + 2504033, + 50674983 + ], + [ + 5032937, + 6321386 + ], + [ + 2339841, + 54506141 + ], + [ + 17938338, + 60180667 + ], + [ + 4984409, + 45603538 + ], + [ + 8383497, + 15043635 + ], + [ + 83184744, + 72813472 + ], + [ + 73344256, + 20881254 + ], + [ + 61201880, + 29057684 + ], + [ + 41718540, + 15056824 + ], + [ + 56472663, + 17888640 + ], + [ + 5406333, + 87175989 + ], + [ + 15392562, + 89408502 + ], + [ + 33433237, + 34972014 + ], + [ + 22518430, + 82072960 + ], + [ + 51940050, + 52551244 + ], + [ + 64532950, + 25103468 + ], + [ + 42582588, + 45362212 + ], + [ + 79117619, + 89330932 + ], + [ + 35374374, + 72108888 + ], + [ + 61835567, + 75422843 + ], + [ + 38173903, + 11860731 + ], + [ + 74256188, + 40839424 + ], + [ + 40447564, + 98293931 + ], + [ + 27932883, + 74673172 + ], + [ + 78837366, + 458046 + ], + [ + 59161016, + 92198166 + ], + [ + 38171414, + 13553501 + ], + [ + 93371912, + 37021636 + ], + [ + 5027199, + 30764482 + ], + [ + 93735611, + 20441560 + ], + [ + 56674907, + 2752773 + ], + [ + 98683512, + 57561286 + ], + [ + 73972861, + 80672866 + ], + [ + 63950355, + 49242883 + ], + [ + 56867491, + 9395370 + ], + [ + 54453012, + 62500511 + ], + [ + 23670770, + 24303262 + ], + [ + 56931151, + 32787776 + ], + [ + 73795160, + 5368723 + ], + [ + 78121983, + 50937434 + ], + [ + 51832708, + 65175924 + ], + [ + 54244793, + 47374212 + ], + [ + 14097001, + 25727477 + ], + [ + 19002779, + 31018928 + ], + [ + 25696513, + 97911780 + ], + [ + 25995731, + 8565416 + ], + [ + 27560841, + 53843819 + ], + [ + 93734409, + 51616922 + ], + [ + 6620858, + 37784966 + ], + [ + 25886831, + 69389582 + ], + [ + 31859375, + 61956759 + ], + [ + 16680360, + 85530074 + ], + [ + 99397057, + 40273344 + ], + [ + 48677173, + 47590426 + ], + [ + 7744743, + 50161027 + ], + [ + 62444468, + 96827910 + ], + [ + 26071669, + 10826479 + ], + [ + 84968621, + 27854575 + ], + [ + 16343629, + 49720182 + ], + [ + 23610221, + 19659923 + ], + [ + 77594463, + 18896124 + ], + [ + 2243914, + 34904218 + ], + [ + 15585279, + 44329027 + ], + [ + 38248909, + 74038185 + ], + [ + 14949153, + 52498793 + ], + [ + 46406222, + 17108506 + ], + [ + 61626852, + 39231562 + ], + [ + 54450869, + 75242123 + ], + [ + 9143201, + 17652611 + ], + [ + 50869290, + 13089758 + ], + [ + 75397471, + 45682668 + ], + [ + 49056709, + 84804650 + ], + [ + 40383131, + 34928265 + ], + [ + 33499960, + 8830975 + ], + [ + 11007631, + 37423405 + ], + [ + 58709673, + 35074123 + ], + [ + 35620241, + 23731533 + ], + [ + 66558338, + 959815 + ], + [ + 61936761, + 17403017 + ], + [ + 55919439, + 75129267 + ], + [ + 56642079, + 8342944 + ], + [ + 1088658, + 85814969 + ], + [ + 18964250, + 38409164 + ], + [ + 2910770, + 73655257 + ], + [ + 72589629, + 92697543 + ], + [ + 22329776, + 46580950 + ], + [ + 65553540, + 60148627 + ], + [ + 86630936, + 2605547 + ], + [ + 70852924, + 98280485 + ], + [ + 48297495, + 9384805 + ], + [ + 15819507, + 99264642 + ], + [ + 65613229, + 70226353 + ], + [ + 42165923, + 97293834 + ], + [ + 13566695, + 24145334 + ], + [ + 63467145, + 58531527 + ], + [ + 38543042, + 96727209 + ], + [ + 87932345, + 28559193 + ], + [ + 27868379, + 43225645 + ], + [ + 32157338, + 40772474 + ], + [ + 72602891, + 40428088 + ], + [ + 88797038, + 10818933 + ], + [ + 11428448, + 81868789 + ], + [ + 51143359, + 92917520 + ], + [ + 38457341, + 5214946 + ], + [ + 70402998, + 97142991 + ], + [ + 65763542, + 72292355 + ], + [ + 90789008, + 92780436 + ], + [ + 1303604, + 72755321 + ], + [ + 22430325, + 76052409 + ], + [ + 7787771, + 43911604 + ], + [ + 9332053, + 58030215 + ], + [ + 5127622, + 36818899 + ], + [ + 7538092, + 56796076 + ], + [ + 69364720, + 76141447 + ], + [ + 14582342, + 77022179 + ], + [ + 15476742, + 43418273 + ], + [ + 30558272, + 39827186 + ], + [ + 62819824, + 32706678 + ], + [ + 43057181, + 51533991 + ], + [ + 7855902, + 74916740 + ], + [ + 4682931, + 49080700 + ], + [ + 55953010, + 89467942 + ], + [ + 54432601, + 85641840 + ], + [ + 34517247, + 48350782 + ], + [ + 96347929, + 88890402 + ], + [ + 15105801, + 84727594 + ], + [ + 21386087, + 13843228 + ], + [ + 87712129, + 98958807 + ], + [ + 42765305, + 54256652 + ], + [ + 26901212, + 62631337 + ], + [ + 52576059, + 27218042 + ], + [ + 71968337, + 51914997 + ], + [ + 97912425, + 58675362 + ], + [ + 46053813, + 22435446 + ], + [ + 34561349, + 90197678 + ], + [ + 49574194, + 48906576 + ], + [ + 8140101, + 68316053 + ], + [ + 88247764, + 98727013 + ], + [ + 98155771, + 74965919 + ], + [ + 98018980, + 1003545 + ], + [ + 52021764, + 61115828 + ], + [ + 30700779, + 83670083 + ], + [ + 55128866, + 30427719 + ], + [ + 2642100, + 61526065 + ], + [ + 44542717, + 24337676 + ], + [ + 6873856, + 86782909 + ], + [ + 79886026, + 51562723 + ], + [ + 5817535, + 42831921 + ], + [ + 68392503, + 96227799 + ], + [ + 86765444, + 55601677 + ], + [ + 36965654, + 26065936 + ], + [ + 37573897, + 54236903 + ], + [ + 11341431, + 24819508 + ], + [ + 80330032, + 90669731 + ], + [ + 64643686, + 76059003 + ], + [ + 29932969, + 58936733 + ], + [ + 64772110, + 67675044 + ], + [ + 25855173, + 7039470 + ], + [ + 57099285, + 13147420 + ], + [ + 40158405, + 39701019 + ], + [ + 61221765, + 86520988 + ], + [ + 4291336, + 34404799 + ], + [ + 18238309, + 8537699 + ], + [ + 96555542, + 55915276 + ], + [ + 55753743, + 30745803 + ], + [ + 67026657, + 28044839 + ], + [ + 25806806, + 5385704 + ], + [ + 41325400, + 6213165 + ], + [ + 76872360, + 49073540 + ], + [ + 54125505, + 40987620 + ], + [ + 29196710, + 13255190 + ], + [ + 13022726, + 96038331 + ], + [ + 85342516, + 81618814 + ], + [ + 1318452, + 86609123 + ], + [ + 18500327, + 14099824 + ], + [ + 12139569, + 63451130 + ], + [ + 58268593, + 15975681 + ], + [ + 63233937, + 19054950 + ], + [ + 81162859, + 8036605 + ], + [ + 46164896, + 85891943 + ], + [ + 49348699, + 13332560 + ], + [ + 55489141, + 37683771 + ], + [ + 48018262, + 84688568 + ], + [ + 97802800, + 49670248 + ], + [ + 62851914, + 47067543 + ], + [ + 95726278, + 75484868 + ], + [ + 68629080, + 48766346 + ], + [ + 26490211, + 29841815 + ], + [ + 36833711, + 90835432 + ], + [ + 43204183, + 64444120 + ], + [ + 92398000, + 20269998 + ], + [ + 45478979, + 5518917 + ], + [ + 59493581, + 90717194 + ], + [ + 66352036, + 52482717 + ], + [ + 6184414, + 76439607 + ], + [ + 96484561, + 23833584 + ], + [ + 39205886, + 75786333 + ], + [ + 88716722, + 4010946 + ], + [ + 59572949, + 86254790 + ], + [ + 74769662, + 14126652 + ], + [ + 77855682, + 32984048 + ], + [ + 70620505, + 55734905 + ], + [ + 61929301, + 93881932 + ], + [ + 59482954, + 37312567 + ], + [ + 45887513, + 97233460 + ], + [ + 46597346, + 82114579 + ], + [ + 81879798, + 86325796 + ], + [ + 48059054, + 89698637 + ], + [ + 19974334, + 66927148 + ], + [ + 55562463, + 2246168 + ], + [ + 45733446, + 66289163 + ], + [ + 41910933, + 96723890 + ], + [ + 22650523, + 59746334 + ], + [ + 69908787, + 88711193 + ], + [ + 8326550, + 34963782 + ], + [ + 61839468, + 27671337 + ], + [ + 76320400, + 35260970 + ], + [ + 28025013, + 9609230 + ], + [ + 38404364, + 98749333 + ], + [ + 66756872, + 26932122 + ], + [ + 92077924, + 735737 + ], + [ + 12428716, + 215630 + ], + [ + 11822786, + 53024689 + ], + [ + 86694647, + 1303682 + ], + [ + 46647422, + 20437091 + ], + [ + 86501321, + 24850056 + ], + [ + 24770549, + 92411748 + ], + [ + 57249172, + 57517460 + ], + [ + 89767580, + 70123003 + ], + [ + 81891557, + 90030631 + ], + [ + 50606368, + 61117196 + ], + [ + 80952973, + 50960601 + ], + [ + 40363439, + 77850002 + ], + [ + 44057843, + 59241073 + ], + [ + 27610352, + 23452207 + ], + [ + 32790287, + 54190707 + ], + [ + 22010965, + 39982445 + ], + [ + 37331303, + 80760568 + ], + [ + 7496686, + 46162582 + ], + [ + 7949097, + 54865731 + ], + [ + 54583785, + 2844123 + ], + [ + 42864736, + 66955779 + ], + [ + 61850768, + 24632599 + ], + [ + 57003038, + 61443205 + ], + [ + 38512960, + 24277326 + ], + [ + 42025368, + 11232688 + ], + [ + 63963672, + 60245749 + ], + [ + 32912514, + 23603111 + ], + [ + 77192984, + 4393310 + ], + [ + 7487151, + 42905536 + ], + [ + 6279591, + 73881194 + ], + [ + 59604065, + 18579622 + ], + [ + 68780442, + 39947249 + ], + [ + 92767244, + 68087144 + ], + [ + 95995247, + 74911460 + ], + [ + 48800934, + 75349311 + ], + [ + 2654014, + 39543468 + ], + [ + 58659279, + 42277737 + ], + [ + 17996861, + 31935819 + ], + [ + 12928097, + 16210981 + ], + [ + 80687513, + 55967777 + ], + [ + 52667986, + 72960017 + ], + [ + 92001176, + 31418571 + ], + [ + 7547223, + 46753241 + ], + [ + 81489830, + 372731 + ], + [ + 29345091, + 75328763 + ], + [ + 95560470, + 89842747 + ], + [ + 94786577, + 5352233 + ], + [ + 61799264, + 3922956 + ], + [ + 69700587, + 48525998 + ], + [ + 45484090, + 81735483 + ], + [ + 73658538, + 29612711 + ], + [ + 80928538, + 86372366 + ], + [ + 31279328, + 11719768 + ], + [ + 83920675, + 98677619 + ], + [ + 8206373, + 55031690 + ], + [ + 2756616, + 48471295 + ], + [ + 49584750, + 46603101 + ], + [ + 39030508, + 11268588 + ], + [ + 25397076, + 72096839 + ], + [ + 20249459, + 72611966 + ], + [ + 49099648, + 93183525 + ], + [ + 6585201, + 35796691 + ], + [ + 80852951, + 21503793 + ], + [ + 37966185, + 54210760 + ], + [ + 27991487, + 98863970 + ], + [ + 14758986, + 64532104 + ], + [ + 36982353, + 72786981 + ], + [ + 3284005, + 52879191 + ], + [ + 91694072, + 46624671 + ], + [ + 49724361, + 5761215 + ], + [ + 56672710, + 71425903 + ], + [ + 66787639, + 63982016 + ], + [ + 8201599, + 50672491 + ], + [ + 94568531, + 63962669 + ], + [ + 51311037, + 99978417 + ], + [ + 86097384, + 75151514 + ], + [ + 7751248, + 67020620 + ], + [ + 64304873, + 41741539 + ], + [ + 92493071, + 71094957 + ], + [ + 25369895, + 64315423 + ], + [ + 93549587, + 88608773 + ], + [ + 6901396, + 1114107 + ], + [ + 64637273, + 25836314 + ], + [ + 64039800, + 1099809 + ], + [ + 65749908, + 15220674 + ], + [ + 4263259, + 71503275 + ], + [ + 20727199, + 58341538 + ], + [ + 66798553, + 88585226 + ], + [ + 18727372, + 146537 + ], + [ + 22228114, + 32998675 + ], + [ + 45027092, + 37501538 + ], + [ + 68783116, + 44901936 + ], + [ + 15931241, + 96100401 + ], + [ + 9656132, + 44689242 + ], + [ + 67823665, + 77213377 + ], + [ + 20026666, + 45795632 + ], + [ + 72986609, + 75174937 + ], + [ + 41901198, + 48734313 + ], + [ + 97769231, + 2949170 + ], + [ + 53980137, + 21415278 + ], + [ + 22930705, + 64007042 + ], + [ + 77865255, + 29841742 + ], + [ + 16459625, + 50372524 + ], + [ + 96532031, + 80950922 + ], + [ + 98681681, + 80917452 + ], + [ + 95024358, + 95708351 + ], + [ + 93138278, + 19999295 + ], + [ + 70087700, + 3273409 + ], + [ + 86221641, + 86438773 + ], + [ + 40069119, + 71924196 + ], + [ + 26441221, + 51274714 + ], + [ + 1227263, + 20834004 + ], + [ + 39911302, + 87901699 + ], + [ + 21560932, + 52464886 + ], + [ + 73974911, + 51027807 + ], + [ + 36844688, + 59086792 + ], + [ + 90914385, + 32939047 + ], + [ + 47103300, + 5714888 + ], + [ + 30971131, + 96470954 + ], + [ + 71415949, + 72246735 + ], + [ + 94862310, + 86064190 + ], + [ + 30921186, + 96917686 + ], + [ + 84890846, + 56544747 + ], + [ + 18896517, + 93141970 + ], + [ + 87596917, + 81933291 + ], + [ + 44437474, + 8507415 + ], + [ + 88371270, + 22066819 + ], + [ + 27070667, + 76655352 + ], + [ + 1127279, + 35767611 + ], + [ + 51626443, + 44101137 + ], + [ + 31978762, + 80049274 + ], + [ + 80242726, + 21344467 + ], + [ + 37768149, + 54924928 + ], + [ + 92543814, + 13577160 + ], + [ + 90808172, + 18432220 + ], + [ + 39487719, + 27778730 + ], + [ + 48706835, + 35260779 + ], + [ + 81247788, + 43434073 + ], + [ + 4536801, + 18749207 + ], + [ + 2751735, + 83747796 + ], + [ + 78446749, + 41386697 + ], + [ + 64478973, + 86557276 + ], + [ + 68713944, + 46895804 + ], + [ + 97436566, + 5455845 + ], + [ + 11437180, + 12214463 + ], + [ + 83514893, + 73939557 + ], + [ + 54663675, + 61510198 + ], + [ + 43043145, + 37501869 + ], + [ + 75880930, + 92585527 + ], + [ + 62144278, + 37279280 + ], + [ + 69908904, + 39754585 + ], + [ + 93660372, + 12670334 + ], + [ + 93095786, + 70781095 + ], + [ + 56427487, + 67878770 + ], + [ + 61511197, + 35389979 + ], + [ + 19188583, + 95945182 + ], + [ + 80028363, + 38887678 + ], + [ + 10067213, + 47177532 + ], + [ + 17613580, + 56895406 + ], + [ + 28336081, + 88044903 + ], + [ + 57027775, + 80453997 + ], + [ + 56086450, + 37534469 + ], + [ + 96795345, + 50302760 + ], + [ + 24952786, + 62552391 + ], + [ + 54616151, + 74046326 + ], + [ + 88297056, + 63595565 + ], + [ + 73203930, + 974320 + ], + [ + 32528637, + 32707780 + ], + [ + 41917155, + 49992314 + ], + [ + 21950183, + 21138606 + ], + [ + 3812057, + 87034296 + ], + [ + 84903560, + 41405835 + ], + [ + 5995040, + 77488745 + ], + [ + 86832689, + 24781906 + ], + [ + 34128789, + 6086224 + ], + [ + 32179526, + 72502957 + ], + [ + 87847569, + 95588099 + ], + [ + 86361132, + 20965253 + ], + [ + 20080737, + 79724071 + ], + [ + 12996452, + 31596382 + ], + [ + 6562906, + 50743455 + ], + [ + 30727149, + 87301879 + ], + [ + 37869359, + 53915207 + ], + [ + 93424961, + 91231394 + ], + [ + 57902001, + 31718954 + ], + [ + 17652127, + 27641644 + ], + [ + 91989595, + 54452266 + ], + [ + 49742337, + 48145159 + ], + [ + 15185701, + 19492825 + ], + [ + 48018261, + 91840666 + ], + [ + 51947956, + 21273084 + ], + [ + 61126540, + 13695999 + ], + [ + 43031229, + 24329213 + ], + [ + 52723069, + 64814164 + ], + [ + 52550471, + 56385454 + ], + [ + 60956186, + 42715420 + ], + [ + 45147211, + 28948835 + ], + [ + 92332980, + 68793710 + ], + [ + 94309284, + 46436110 + ], + [ + 70655457, + 90754300 + ], + [ + 42891059, + 77616874 + ], + [ + 46180228, + 23572344 + ], + [ + 52608315, + 87470244 + ], + [ + 12634479, + 85492669 + ], + [ + 42920027, + 42863797 + ], + [ + 24589314, + 93218502 + ], + [ + 15421780, + 75742747 + ], + [ + 71737956, + 38927125 + ], + [ + 3869013, + 86257944 + ], + [ + 67283659, + 90365966 + ], + [ + 66070863, + 55051473 + ], + [ + 60102175, + 29834440 + ], + [ + 88288894, + 75734131 + ], + [ + 50718082, + 23637324 + ], + [ + 26709877, + 37755926 + ], + [ + 55545817, + 2717823 + ], + [ + 4532160, + 27217106 + ], + [ + 54286419, + 55459963 + ], + [ + 68833019, + 7875679 + ], + [ + 37009818, + 69176029 + ], + [ + 33645628, + 86942010 + ], + [ + 78985995, + 78814185 + ], + [ + 70366076, + 86313148 + ], + [ + 52011676, + 39703962 + ], + [ + 3834510, + 40014300 + ], + [ + 98089219, + 94033545 + ], + [ + 63783742, + 98247308 + ], + [ + 8587920, + 48522735 + ], + [ + 37803072, + 96093585 + ], + [ + 13830744, + 444694 + ], + [ + 66755227, + 79081289 + ], + [ + 55260227, + 24572295 + ], + [ + 1333449, + 25910823 + ], + [ + 79230574, + 68806380 + ], + [ + 99041266, + 15952374 + ], + [ + 34000933, + 38329952 + ], + [ + 892387, + 6114601 + ], + [ + 33761481, + 32394151 + ], + [ + 47894226, + 12723804 + ], + [ + 54173919, + 5660202 + ], + [ + 48508054, + 10096582 + ], + [ + 13998074, + 29897842 + ], + [ + 1577527, + 82243416 + ], + [ + 80601059, + 17405491 + ], + [ + 9378155, + 56840650 + ], + [ + 4221840, + 4857754 + ], + [ + 6984603, + 86995439 + ], + [ + 77726902, + 74210207 + ], + [ + 39218927, + 916864 + ], + [ + 59729025, + 10056589 + ], + [ + 86981025, + 34742934 + ], + [ + 84386911, + 24264198 + ], + [ + 7792457, + 28280039 + ], + [ + 88629054, + 85504449 + ], + [ + 1196128, + 17786835 + ], + [ + 38530508, + 20960095 + ], + [ + 4190482, + 35540405 + ], + [ + 34104606, + 7266104 + ], + [ + 59684506, + 4968217 + ], + [ + 72250969, + 48946566 + ], + [ + 62335079, + 5589544 + ], + [ + 68988078, + 46535385 + ], + [ + 67102172, + 4536842 + ], + [ + 89263709, + 53318631 + ], + [ + 85836166, + 52957296 + ], + [ + 39650553, + 25883452 + ], + [ + 28585239, + 33135990 + ], + [ + 13482289, + 8937219 + ], + [ + 65648432, + 92531433 + ], + [ + 26029766, + 30198019 + ], + [ + 49602023, + 6043302 + ], + [ + 49176733, + 35864315 + ], + [ + 95314635, + 33538726 + ], + [ + 49126698, + 93034250 + ], + [ + 54958748, + 17251351 + ], + [ + 54838510, + 21330118 + ], + [ + 4979506, + 89116833 + ], + [ + 13058661, + 48192996 + ], + [ + 65891007, + 4533077 + ], + [ + 60278547, + 46127385 + ], + [ + 71914414, + 94712015 + ], + [ + 21164706, + 26238533 + ], + [ + 78578810, + 15031233 + ], + [ + 34783965, + 69944700 + ], + [ + 46017440, + 80501483 + ], + [ + 41155806, + 5907641 + ], + [ + 89404514, + 94845997 + ], + [ + 2075114, + 51186225 + ], + [ + 79357754, + 62425927 + ], + [ + 63957832, + 1239563 + ], + [ + 72189463, + 65757246 + ], + [ + 98476459, + 98456714 + ], + [ + 58909549, + 53217662 + ], + [ + 98052086, + 552330 + ], + [ + 96189508, + 28751903 + ], + [ + 83758027, + 75613496 + ], + [ + 61148575, + 36051844 + ], + [ + 62248834, + 40196241 + ], + [ + 10129050, + 27790965 + ], + [ + 50496169, + 55932112 + ], + [ + 16186085, + 95020201 + ], + [ + 86841708, + 49874452 + ], + [ + 16438749, + 78553070 + ], + [ + 69444334, + 37878628 + ], + [ + 66109064, + 91747094 + ], + [ + 55987024, + 74522959 + ], + [ + 28879302, + 72911327 + ], + [ + 75662902, + 6194964 + ], + [ + 29976061, + 37338170 + ], + [ + 23930834, + 76193773 + ], + [ + 283970, + 34237871 + ], + [ + 36001996, + 61417164 + ], + [ + 34066023, + 27200069 + ], + [ + 82955258, + 67986430 + ], + [ + 72722754, + 75732171 + ], + [ + 3027932, + 24134020 + ], + [ + 92656563, + 60769855 + ], + [ + 30596994, + 42908319 + ], + [ + 44798232, + 40322142 + ], + [ + 46568432, + 32961924 + ], + [ + 29399487, + 35908883 + ], + [ + 36414998, + 19114184 + ], + [ + 21168912, + 27651091 + ], + [ + 35853346, + 97997925 + ], + [ + 82749537, + 46405886 + ], + [ + 90887944, + 59695456 + ], + [ + 94584457, + 57094685 + ], + [ + 34026892, + 32397613 + ], + [ + 3996360, + 79676973 + ], + [ + 21424778, + 58797850 + ], + [ + 46717522, + 8645649 + ], + [ + 54819903, + 47601385 + ], + [ + 49714617, + 27506748 + ], + [ + 68295366, + 90032030 + ], + [ + 99175505, + 43204698 + ], + [ + 64720312, + 81370160 + ], + [ + 28562186, + 83558905 + ], + [ + 79527708, + 89810848 + ], + [ + 23945155, + 49928236 + ], + [ + 62834647, + 14238211 + ], + [ + 52242845, + 51031916 + ], + [ + 20775635, + 62514144 + ], + [ + 45393646, + 43424564 + ], + [ + 20186765, + 51496339 + ], + [ + 26047030, + 8748656 + ], + [ + 70291291, + 97360160 + ], + [ + 61479856, + 11921079 + ], + [ + 43310936, + 16028228 + ], + [ + 49861929, + 56048644 + ], + [ + 33869570, + 97288912 + ], + [ + 90308768, + 40182538 + ], + [ + 77629152, + 98348804 + ], + [ + 10637383, + 4475691 + ], + [ + 19104072, + 53062837 + ], + [ + 20612663, + 90174176 + ], + [ + 26130188, + 68837512 + ], + [ + 18956005, + 4126037 + ], + [ + 8588818, + 72607756 + ], + [ + 91946606, + 28722590 + ], + [ + 99867837, + 55081928 + ], + [ + 897443, + 25728338 + ], + [ + 44205078, + 53797820 + ], + [ + 15984096, + 59319531 + ], + [ + 37031738, + 29265876 + ], + [ + 46009622, + 10594839 + ], + [ + 95082902, + 91331600 + ], + [ + 40209721, + 20955746 + ], + [ + 52766625, + 37185827 + ], + [ + 71124232, + 83906481 + ], + [ + 82449775, + 88950818 + ], + [ + 45283235, + 32479312 + ], + [ + 70655418, + 66574702 + ], + [ + 92726442, + 76130161 + ], + [ + 74869152, + 98807485 + ], + [ + 98318526, + 37382398 + ], + [ + 88435653, + 69820648 + ], + [ + 10328478, + 11968017 + ], + [ + 41272960, + 16846933 + ], + [ + 21171449, + 34876523 + ], + [ + 30118245, + 30743864 + ], + [ + 22197179, + 89019377 + ], + [ + 63875489, + 81251823 + ], + [ + 42402352, + 69096172 + ], + [ + 16692103, + 5509656 + ], + [ + 2654656, + 53473793 + ], + [ + 80739627, + 55417137 + ], + [ + 76116280, + 27947360 + ], + [ + 77378290, + 52650067 + ], + [ + 26057494, + 41347202 + ], + [ + 3046244, + 37394170 + ], + [ + 75957236, + 15908101 + ], + [ + 87152356, + 49173612 + ], + [ + 27958087, + 79449335 + ], + [ + 25934808, + 62336253 + ], + [ + 71389762, + 63101047 + ], + [ + 15571454, + 71102775 + ], + [ + 28487474, + 71887395 + ], + [ + 66616472, + 37538574 + ], + [ + 10219793, + 17983581 + ], + [ + 88621415, + 43925952 + ], + [ + 84797743, + 92552868 + ], + [ + 22343564, + 8856186 + ], + [ + 76162888, + 10620401 + ], + [ + 82124462, + 30323172 + ], + [ + 78813361, + 80239393 + ], + [ + 5697559, + 84298908 + ], + [ + 77081989, + 55234202 + ], + [ + 19355676, + 50734640 + ], + [ + 87515234, + 26490463 + ], + [ + 98135008, + 37529085 + ], + [ + 21854526, + 93690226 + ], + [ + 39276182, + 12271865 + ], + [ + 67795484, + 76150901 + ], + [ + 66741209, + 20699621 + ], + [ + 62628252, + 34709288 + ], + [ + 70045212, + 14030038 + ], + [ + 49835673, + 64162420 + ], + [ + 79581150, + 45636046 + ], + [ + 35654345, + 79830818 + ], + [ + 5503314, + 81035833 + ], + [ + 36303388, + 1850630 + ], + [ + 50168858, + 15648843 + ], + [ + 19969763, + 28277343 + ], + [ + 66861469, + 23672559 + ], + [ + 64261141, + 39592170 + ], + [ + 75053573, + 33532153 + ], + [ + 14411865, + 3336752 + ], + [ + 2792903, + 97870135 + ], + [ + 6179754, + 78131315 + ], + [ + 29273764, + 23204701 + ], + [ + 26836259, + 55421630 + ], + [ + 64405867, + 55518476 + ], + [ + 82459966, + 40112318 + ], + [ + 86190008, + 10163480 + ], + [ + 24711320, + 30268429 + ], + [ + 65685338, + 5663752 + ], + [ + 73679077, + 41921928 + ], + [ + 41304315, + 23925026 + ], + [ + 46841098, + 89298578 + ], + [ + 16402604, + 54195088 + ], + [ + 83412160, + 24380129 + ], + [ + 51710455, + 91153027 + ], + [ + 11702852, + 13469708 + ], + [ + 50253913, + 33311829 + ], + [ + 62566115, + 6818191 + ], + [ + 8846099, + 34833948 + ], + [ + 91846497, + 43315501 + ], + [ + 30764097, + 46107440 + ], + [ + 85205606, + 18152426 + ], + [ + 78924173, + 55016902 + ], + [ + 79800237, + 98282778 + ], + [ + 38428046, + 46560634 + ], + [ + 50389093, + 7553810 + ], + [ + 71554339, + 37537645 + ], + [ + 41092054, + 24533652 + ], + [ + 36048564, + 72749923 + ], + [ + 97101410, + 6536364 + ], + [ + 81725719, + 7361002 + ], + [ + 7098809, + 12124943 + ], + [ + 35120611, + 26403713 + ], + [ + 58328097, + 76420994 + ], + [ + 31915605, + 42762594 + ], + [ + 63162521, + 66814080 + ], + [ + 62682142, + 29660370 + ], + [ + 11448849, + 32046676 + ], + [ + 56737041, + 85125574 + ], + [ + 16293133, + 19217881 + ], + [ + 73967947, + 81447541 + ], + [ + 51497588, + 39064388 + ], + [ + 24395173, + 78127969 + ], + [ + 30849495, + 3391403 + ], + [ + 80087676, + 81689493 + ], + [ + 41782409, + 81165197 + ], + [ + 54025775, + 83051816 + ], + [ + 1986605, + 24248478 + ], + [ + 65243568, + 42644243 + ], + [ + 835755, + 95352114 + ], + [ + 64124145, + 35436647 + ], + [ + 96712041, + 12296731 + ], + [ + 24937671, + 32193 + ], + [ + 29304806, + 65390402 + ], + [ + 42096501, + 49517272 + ], + [ + 38152616, + 54372111 + ], + [ + 97470026, + 89506993 + ], + [ + 26476174, + 18962261 + ], + [ + 79909704, + 79074832 + ], + [ + 37111175, + 3339085 + ], + [ + 53752064, + 28737348 + ], + [ + 23975173, + 26453863 + ], + [ + 37597918, + 34711499 + ], + [ + 58416478, + 90905050 + ], + [ + 65894608, + 96509703 + ], + [ + 94784588, + 18333836 + ], + [ + 8558956, + 47733679 + ], + [ + 71862635, + 82699839 + ], + [ + 77990875, + 62245013 + ], + [ + 62266942, + 41072983 + ], + [ + 73696318, + 62515334 + ], + [ + 27617076, + 38068603 + ], + [ + 1031430, + 88642650 + ], + [ + 56819755, + 28326408 + ], + [ + 20061892, + 79678558 + ], + [ + 1099613, + 26221214 + ], + [ + 75485935, + 4843048 + ], + [ + 9712881, + 96345432 + ], + [ + 43505896, + 20350297 + ], + [ + 63540810, + 71955027 + ], + [ + 68107645, + 51074690 + ], + [ + 1581620, + 6173641 + ], + [ + 11904630, + 29388189 + ], + [ + 59327583, + 54653488 + ], + [ + 31178307, + 78943335 + ], + [ + 25567968, + 10524006 + ], + [ + 41819231, + 86701676 + ], + [ + 32159031, + 47595942 + ], + [ + 41469573, + 26003656 + ], + [ + 17810474, + 81980632 + ], + [ + 32218393, + 77007530 + ], + [ + 70344340, + 63981125 + ], + [ + 25936132, + 95947422 + ], + [ + 1287465, + 82813815 + ], + [ + 90860699, + 81752060 + ], + [ + 28389862, + 24164650 + ], + [ + 65169158, + 96050257 + ], + [ + 37014086, + 41299307 + ], + [ + 49161678, + 40966184 + ], + [ + 62784920, + 67983192 + ], + [ + 12769264, + 79044997 + ], + [ + 21056862, + 35384416 + ], + [ + 78696931, + 51880830 + ], + [ + 74129798, + 94644463 + ], + [ + 84214593, + 86540000 + ], + [ + 2855692, + 46580447 + ], + [ + 70439584, + 66665446 + ], + [ + 888827, + 43592824 + ], + [ + 50047656, + 67029581 + ], + [ + 91363147, + 84559580 + ], + [ + 42660994, + 92527603 + ], + [ + 32547888, + 16729200 + ], + [ + 28178303, + 93256371 + ], + [ + 77933808, + 4962130 + ], + [ + 37001038, + 68196235 + ], + [ + 80210562, + 2941415 + ], + [ + 12529589, + 28345064 + ], + [ + 63073784, + 79492418 + ], + [ + 75179668, + 35849799 + ], + [ + 6279126, + 74182026 + ], + [ + 67270839, + 7083781 + ], + [ + 66140442, + 34395496 + ], + [ + 10770782, + 18004192 + ], + [ + 93363657, + 2784688 + ], + [ + 13471336, + 75179089 + ], + [ + 42912944, + 55199202 + ], + [ + 86463037, + 78921695 + ], + [ + 99876897, + 22467142 + ], + [ + 23983774, + 30097799 + ], + [ + 52336174, + 94154111 + ], + [ + 42473857, + 51998920 + ], + [ + 92216435, + 44920116 + ], + [ + 1798514, + 38569757 + ], + [ + 52603512, + 17937555 + ], + [ + 58170833, + 15440045 + ], + [ + 18136707, + 67246960 + ], + [ + 51049201, + 80027548 + ], + [ + 21018515, + 97104696 + ], + [ + 56357376, + 54325031 + ], + [ + 81206613, + 50108190 + ], + [ + 81727981, + 10298337 + ], + [ + 69906647, + 26219255 + ], + [ + 77765321, + 90305416 + ], + [ + 67705899, + 6744481 + ], + [ + 90653071, + 40848043 + ], + [ + 205023, + 57117132 + ], + [ + 29625250, + 52818318 + ], + [ + 41919050, + 13524326 + ], + [ + 24711909, + 20127059 + ], + [ + 64848340, + 91615501 + ], + [ + 65751882, + 35428190 + ], + [ + 29945088, + 44733031 + ], + [ + 90895836, + 29538094 + ], + [ + 3486801, + 70645381 + ], + [ + 55264661, + 17099749 + ], + [ + 2241874, + 82345772 + ], + [ + 62590747, + 5330859 + ], + [ + 24543471, + 14953708 + ], + [ + 33291984, + 12607417 + ], + [ + 83135206, + 59193217 + ], + [ + 50590512, + 58073365 + ], + [ + 86132564, + 77789774 + ], + [ + 33247436, + 40973477 + ], + [ + 44285800, + 35707065 + ], + [ + 88195052, + 74599940 + ], + [ + 9312878, + 62314285 + ], + [ + 35534684, + 23207862 + ], + [ + 36506352, + 64009940 + ], + [ + 89283663, + 33776132 + ], + [ + 69420336, + 89776040 + ], + [ + 74753484, + 27724366 + ], + [ + 81592468, + 76759680 + ], + [ + 46637401, + 98197322 + ], + [ + 97888646, + 18279976 + ], + [ + 60483925, + 31665301 + ], + [ + 21808327, + 84497889 + ], + [ + 55381079, + 97623517 + ], + [ + 20920728, + 50303890 + ], + [ + 45615521, + 94551004 + ], + [ + 42729948, + 16168419 + ], + [ + 48768105, + 41839704 + ], + [ + 86342716, + 48977072 + ], + [ + 4691548, + 45040185 + ], + [ + 39546783, + 20775704 + ], + [ + 3237169, + 97596073 + ], + [ + 87512234, + 98769259 + ], + [ + 27316399, + 91321765 + ], + [ + 54447845, + 84017769 + ], + [ + 53393227, + 10898077 + ], + [ + 64390768, + 59550689 + ], + [ + 86003411, + 78761591 + ], + [ + 26892582, + 35485307 + ], + [ + 10205272, + 18335051 + ], + [ + 64029964, + 33765544 + ], + [ + 2725917, + 46795029 + ], + [ + 60440193, + 99831823 + ], + [ + 23743043, + 77325472 + ], + [ + 12858119, + 58269674 + ], + [ + 52165544, + 91173145 + ], + [ + 91984969, + 58694951 + ], + [ + 54610323, + 53740100 + ], + [ + 95805295, + 12117473 + ], + [ + 89523224, + 4751895 + ], + [ + 13538598, + 34334355 + ], + [ + 43184375, + 19161120 + ], + [ + 86389953, + 24025054 + ], + [ + 74660407, + 2621441 + ], + [ + 68121062, + 93330513 + ], + [ + 24190459, + 17637331 + ], + [ + 12915166, + 25233991 + ], + [ + 28732307, + 66135510 + ], + [ + 49654999, + 27916372 + ], + [ + 99883608, + 7683086 + ], + [ + 90322394, + 28417425 + ], + [ + 36535146, + 48395592 + ], + [ + 95142499, + 90484846 + ], + [ + 81120543, + 56871087 + ], + [ + 18129033, + 4981159 + ], + [ + 72502487, + 50115585 + ], + [ + 99372919, + 95946199 + ], + [ + 8484438, + 86834649 + ], + [ + 76334991, + 31886650 + ], + [ + 81932622, + 84338104 + ], + [ + 88009276, + 99941309 + ], + [ + 14581297, + 11596682 + ], + [ + 55921843, + 44534778 + ], + [ + 5105249, + 92755998 + ], + [ + 76426001, + 8097697 + ], + [ + 48659913, + 7730763 + ], + [ + 66190421, + 63383315 + ], + [ + 63593748, + 74755946 + ], + [ + 39461497, + 95724788 + ], + [ + 32862024, + 30493241 + ], + [ + 2935047, + 9602155 + ], + [ + 58955990, + 90955680 + ], + [ + 42965459, + 39917391 + ], + [ + 80966171, + 62163063 + ], + [ + 50056058, + 88151683 + ], + [ + 85332396, + 43681179 + ], + [ + 33523035, + 66399528 + ], + [ + 35537772, + 94547722 + ], + [ + 10146776, + 48533452 + ], + [ + 50823883, + 27166340 + ], + [ + 75934234, + 66927539 + ], + [ + 75614038, + 92076099 + ], + [ + 36232491, + 47467461 + ], + [ + 25297994, + 85164309 + ], + [ + 77818312, + 557185 + ], + [ + 85021858, + 60929805 + ], + [ + 54031604, + 84829056 + ], + [ + 5976636, + 70985015 + ], + [ + 79250835, + 70151947 + ], + [ + 2063725, + 85007596 + ], + [ + 59258744, + 63329871 + ], + [ + 26239064, + 96258843 + ], + [ + 33821677, + 28320791 + ], + [ + 9984576, + 23309156 + ], + [ + 23622226, + 38700793 + ], + [ + 48875846, + 66986775 + ], + [ + 57874560, + 44291471 + ], + [ + 72150518, + 31504858 + ], + [ + 97601285, + 68206159 + ], + [ + 18650460, + 46928865 + ], + [ + 86408121, + 46900069 + ], + [ + 4378247, + 41844752 + ], + [ + 96838010, + 20955141 + ], + [ + 54684342, + 62266121 + ], + [ + 2916340, + 67702128 + ], + [ + 85038217, + 90128663 + ], + [ + 11257574, + 27090347 + ], + [ + 16678403, + 48939919 + ], + [ + 54090442, + 70398093 + ], + [ + 22050347, + 37399151 + ], + [ + 39877713, + 60901235 + ], + [ + 95617264, + 36912915 + ], + [ + 96543194, + 72290501 + ], + [ + 7324044, + 15968877 + ], + [ + 68006437, + 94123106 + ], + [ + 19049770, + 5288529 + ], + [ + 78825861, + 43741580 + ], + [ + 44060518, + 74569204 + ], + [ + 79303794, + 30245398 + ], + [ + 42757941, + 95370983 + ], + [ + 40220843, + 81101867 + ], + [ + 55972796, + 82759772 + ], + [ + 29101562, + 62610377 + ], + [ + 41729480, + 12053251 + ], + [ + 23723232, + 63668181 + ], + [ + 44015109, + 12892159 + ], + [ + 74193257, + 67393172 + ], + [ + 85708027, + 89607254 + ], + [ + 11840660, + 76181230 + ], + [ + 44798058, + 77202723 + ], + [ + 44097718, + 57564229 + ], + [ + 38220203, + 1314140 + ], + [ + 91607943, + 23702244 + ], + [ + 49442961, + 58058365 + ], + [ + 48611224, + 47772363 + ], + [ + 27460762, + 51975194 + ], + [ + 82370970, + 254133 + ], + [ + 18710479, + 11784865 + ], + [ + 63204891, + 77318306 + ], + [ + 36683018, + 46792777 + ], + [ + 61483884, + 12025124 + ], + [ + 7944748, + 23137623 + ], + [ + 2030863, + 31444327 + ], + [ + 7878149, + 57194281 + ], + [ + 71183240, + 88673794 + ], + [ + 30673636, + 56564764 + ], + [ + 45691343, + 44873502 + ], + [ + 57434586, + 93742484 + ], + [ + 97426965, + 79791731 + ], + [ + 87682234, + 81552066 + ], + [ + 97583078, + 72768232 + ], + [ + 52135321, + 30495365 + ], + [ + 35006088, + 13621472 + ], + [ + 40469282, + 54809469 + ], + [ + 40142649, + 31339557 + ], + [ + 85273261, + 2052807 + ], + [ + 11631605, + 16673983 + ], + [ + 65074621, + 52335910 + ], + [ + 9121261, + 47569304 + ], + [ + 64335607, + 61138441 + ], + [ + 90676257, + 27720343 + ], + [ + 7819761, + 64888277 + ], + [ + 38381344, + 83233278 + ], + [ + 37954548, + 62351557 + ], + [ + 30410259, + 17854574 + ], + [ + 82686435, + 99570857 + ], + [ + 26272871, + 37797360 + ], + [ + 17031733, + 40222167 + ], + [ + 67744597, + 82633763 + ], + [ + 48752356, + 59196152 + ], + [ + 2006862, + 7487093 + ], + [ + 58530659, + 43588783 + ], + [ + 16215351, + 28249580 + ], + [ + 86419397, + 13271017 + ], + [ + 60909634, + 55278970 + ], + [ + 34299900, + 59979239 + ], + [ + 13767945, + 86203899 + ], + [ + 12847819, + 91324151 + ], + [ + 48053003, + 42181571 + ], + [ + 71380899, + 76978149 + ], + [ + 95607940, + 3658533 + ], + [ + 31326171, + 48257692 + ], + [ + 48139279, + 43842821 + ], + [ + 62287302, + 32995631 + ], + [ + 96899258, + 64473807 + ], + [ + 14355378, + 76297813 + ], + [ + 5724391, + 84935726 + ], + [ + 40307868, + 85274780 + ], + [ + 75417604, + 7097403 + ], + [ + 36593132, + 97659609 + ], + [ + 35932419, + 45791185 + ], + [ + 90212864, + 96111622 + ], + [ + 7750111, + 62285427 + ], + [ + 74004292, + 18725876 + ], + [ + 98944836, + 52189430 + ], + [ + 99260112, + 11932042 + ], + [ + 82359882, + 34941047 + ], + [ + 91500963, + 5163665 + ], + [ + 69310699, + 22514665 + ], + [ + 49087681, + 64740282 + ], + [ + 31474051, + 54640618 + ], + [ + 15495537, + 99333049 + ], + [ + 45316103, + 80010974 + ], + [ + 88540214, + 25585413 + ], + [ + 21742624, + 2584936 + ], + [ + 81973311, + 63135302 + ], + [ + 45952385, + 82121813 + ], + [ + 70607654, + 89403383 + ], + [ + 7248193, + 80418032 + ], + [ + 60264733, + 28310878 + ], + [ + 54303421, + 24684948 + ], + [ + 53599576, + 19164915 + ], + [ + 55392946, + 81661743 + ], + [ + 51625202, + 53488881 + ], + [ + 17403644, + 63876524 + ], + [ + 92705595, + 34568387 + ], + [ + 20390614, + 49045774 + ], + [ + 861755, + 73788140 + ], + [ + 39253367, + 54183744 + ], + [ + 962884, + 52791732 + ], + [ + 21900616, + 27313025 + ], + [ + 63602327, + 53291085 + ], + [ + 6000733, + 19844170 + ], + [ + 93634538, + 60704527 + ], + [ + 2965262, + 45926775 + ], + [ + 90786602, + 16150501 + ], + [ + 37982372, + 95598474 + ], + [ + 32097217, + 19276681 + ], + [ + 71261135, + 92145325 + ], + [ + 25775690, + 8303208 + ], + [ + 78839771, + 51911402 + ], + [ + 29946342, + 89024316 + ], + [ + 19008189, + 57573098 + ], + [ + 9857238, + 81053658 + ], + [ + 57013484, + 63757792 + ], + [ + 27748428, + 17266498 + ], + [ + 10982277, + 68516184 + ], + [ + 23630842, + 31371132 + ], + [ + 61061094, + 23135047 + ], + [ + 21859781, + 99673877 + ], + [ + 2355462, + 44722953 + ], + [ + 306050, + 69840231 + ], + [ + 47199279, + 68221155 + ], + [ + 95002170, + 83977905 + ], + [ + 61562527, + 58049900 + ], + [ + 95330809, + 56508979 + ], + [ + 29655960, + 12473602 + ], + [ + 51750447, + 51705381 + ], + [ + 28738778, + 83347699 + ], + [ + 24556622, + 84498078 + ], + [ + 27169833, + 21879190 + ], + [ + 50954526, + 9396335 + ], + [ + 53259967, + 96223437 + ], + [ + 73955667, + 92893881 + ], + [ + 20966421, + 5217170 + ], + [ + 9225141, + 41406225 + ], + [ + 79818934, + 53399394 + ], + [ + 35143271, + 31890798 + ], + [ + 42907733, + 14972645 + ], + [ + 74180301, + 69583425 + ], + [ + 47912338, + 13148070 + ], + [ + 61525815, + 86693027 + ], + [ + 49616266, + 86143023 + ], + [ + 42615362, + 74738519 + ], + [ + 18314975, + 86175541 + ], + [ + 8316532, + 63363709 + ], + [ + 87409815, + 91404128 + ], + [ + 62087706, + 20178135 + ], + [ + 13330718, + 77482444 + ], + [ + 32105881, + 55788335 + ], + [ + 30038857, + 71645436 + ], + [ + 76368404, + 48406916 + ], + [ + 74246909, + 54672475 + ], + [ + 14779535, + 30868197 + ], + [ + 57352837, + 39976549 + ], + [ + 73652669, + 41774815 + ], + [ + 84401815, + 34877732 + ], + [ + 51921479, + 26218390 + ], + [ + 13254272, + 19842834 + ], + [ + 4537207, + 44911824 + ], + [ + 71855419, + 15068012 + ], + [ + 14389199, + 54248913 + ], + [ + 79075956, + 50978382 + ], + [ + 58854031, + 75221645 + ], + [ + 24027369, + 75893048 + ], + [ + 29642664, + 56765357 + ], + [ + 75893864, + 38930580 + ], + [ + 28395023, + 31092982 + ], + [ + 55520472, + 91914381 + ], + [ + 88968243, + 59739 + ], + [ + 9835876, + 59881245 + ], + [ + 122859, + 73333589 + ], + [ + 78917601, + 45946850 + ], + [ + 3466378, + 14483078 + ], + [ + 69388201, + 46493702 + ], + [ + 68856731, + 15864247 + ], + [ + 15329146, + 12896404 + ], + [ + 216780, + 49099381 + ], + [ + 22635208, + 60872107 + ], + [ + 20015106, + 31903484 + ], + [ + 98978145, + 25100180 + ], + [ + 70180167, + 80416661 + ], + [ + 99619132, + 15636027 + ], + [ + 80416115, + 98296085 + ], + [ + 22194681, + 25314159 + ], + [ + 84290446, + 9435775 + ], + [ + 54027094, + 88604311 + ], + [ + 61653719, + 63153739 + ], + [ + 94942794, + 2122083 + ], + [ + 45349980, + 60864460 + ], + [ + 78796992, + 69729825 + ], + [ + 31287889, + 25869975 + ], + [ + 90844144, + 30710658 + ], + [ + 18327773, + 6082261 + ], + [ + 15246994, + 8817077 + ], + [ + 1438984, + 78745645 + ], + [ + 45371088, + 25541080 + ], + [ + 19939166, + 7604197 + ], + [ + 85488974, + 30569484 + ], + [ + 31212557, + 8882218 + ], + [ + 55076625, + 77505906 + ], + [ + 67092006, + 85527102 + ], + [ + 28177324, + 47120194 + ], + [ + 47800787, + 62954378 + ], + [ + 40764971, + 20084783 + ], + [ + 90142572, + 21602463 + ], + [ + 80978376, + 6935436 + ], + [ + 93336336, + 30056418 + ], + [ + 95962356, + 33925037 + ], + [ + 69665381, + 17799576 + ], + [ + 12622379, + 81581220 + ], + [ + 13508207, + 29730674 + ], + [ + 78034874, + 46652786 + ], + [ + 50422460, + 89321782 + ], + [ + 46019460, + 21012925 + ], + [ + 13236819, + 69421605 + ], + [ + 10037983, + 78161836 + ], + [ + 17659542, + 66369690 + ], + [ + 33678408, + 69934962 + ], + [ + 28178178, + 70432635 + ], + [ + 90101649, + 98219271 + ], + [ + 52744615, + 19191751 + ], + [ + 40264290, + 63831375 + ], + [ + 12870062, + 40294139 + ], + [ + 27512323, + 31252100 + ], + [ + 60719298, + 87627162 + ], + [ + 762008, + 81459299 + ], + [ + 10285647, + 52321449 + ], + [ + 47748166, + 72078921 + ], + [ + 93563241, + 23072870 + ], + [ + 46987655, + 12501873 + ], + [ + 23870108, + 92702692 + ], + [ + 83699820, + 67329600 + ], + [ + 19365849, + 67525348 + ], + [ + 3189685, + 31198689 + ], + [ + 3565074, + 98107272 + ], + [ + 95608850, + 78116413 + ], + [ + 95002344, + 95851363 + ], + [ + 60652590, + 65031358 + ], + [ + 13566618, + 15207207 + ], + [ + 84723729, + 83242693 + ], + [ + 2799590, + 14646851 + ], + [ + 49473603, + 6646517 + ], + [ + 81024644, + 75685939 + ], + [ + 28560073, + 92039826 + ], + [ + 61792522, + 72220368 + ], + [ + 41044359, + 75937633 + ], + [ + 13178912, + 74809050 + ], + [ + 98396081, + 89018891 + ], + [ + 94266278, + 71611714 + ], + [ + 95181391, + 88208209 + ], + [ + 42112920, + 68275075 + ], + [ + 46339889, + 7229270 + ], + [ + 21960512, + 49406454 + ], + [ + 70360181, + 89591417 + ], + [ + 51015643, + 36143799 + ], + [ + 23184644, + 18966420 + ], + [ + 72985610, + 10023114 + ], + [ + 60776940, + 17336904 + ], + [ + 50873117, + 97728373 + ], + [ + 1245490, + 66930856 + ], + [ + 9254725, + 63986843 + ], + [ + 76208106, + 3421895 + ], + [ + 33783456, + 98640027 + ], + [ + 26755599, + 11140148 + ], + [ + 46315884, + 23936996 + ], + [ + 95902875, + 11560020 + ], + [ + 1236201, + 60532705 + ], + [ + 91396797, + 84689531 + ], + [ + 36087438, + 95659537 + ], + [ + 38587216, + 64921883 + ], + [ + 64963165, + 64922023 + ], + [ + 95235394, + 49513623 + ], + [ + 84296899, + 20448348 + ], + [ + 86317454, + 96516299 + ], + [ + 8322793, + 62449460 + ], + [ + 55704332, + 56640196 + ], + [ + 93416410, + 94661663 + ], + [ + 21882073, + 9287264 + ], + [ + 37066818, + 64689407 + ], + [ + 75764303, + 64758147 + ], + [ + 10280034, + 81876711 + ], + [ + 77809121, + 44545381 + ], + [ + 48725393, + 98313110 + ], + [ + 9634695, + 81842367 + ], + [ + 68139798, + 54477270 + ], + [ + 82955152, + 44959529 + ], + [ + 71880299, + 94266135 + ], + [ + 48168522, + 31267501 + ], + [ + 46645343, + 37112121 + ], + [ + 8786769, + 86749233 + ], + [ + 32483236, + 69180708 + ], + [ + 97915331, + 39256364 + ], + [ + 48568705, + 52871590 + ], + [ + 4122768, + 69394563 + ], + [ + 72161140, + 8596834 + ], + [ + 68257492, + 78575734 + ], + [ + 55508468, + 39517633 + ], + [ + 43152662, + 19447930 + ], + [ + 40641636, + 88510171 + ], + [ + 50193231, + 61261945 + ], + [ + 95383096, + 85877212 + ], + [ + 94313298, + 52505878 + ], + [ + 17714234, + 71792291 + ], + [ + 47063474, + 53810957 + ], + [ + 90482837, + 64601474 + ], + [ + 74338093, + 34154140 + ], + [ + 55201928, + 31243956 + ], + [ + 50630750, + 13054423 + ], + [ + 19695867, + 55099455 + ], + [ + 52334473, + 88953470 + ], + [ + 92779924, + 97964402 + ], + [ + 49020414, + 90671041 + ], + [ + 81942520, + 90662046 + ], + [ + 86825204, + 47405252 + ], + [ + 89761020, + 92332500 + ], + [ + 99629325, + 76181642 + ], + [ + 41748045, + 13850621 + ], + [ + 50241441, + 21787701 + ], + [ + 74544478, + 5127428 + ], + [ + 6954457, + 43290702 + ], + [ + 97873037, + 26723260 + ], + [ + 79530163, + 67376839 + ], + [ + 79012252, + 92643906 + ], + [ + 51393485, + 83262619 + ], + [ + 14782827, + 67442228 + ], + [ + 846937, + 68214874 + ], + [ + 7031051, + 31176737 + ], + [ + 71926748, + 75140029 + ], + [ + 19086566, + 87961160 + ], + [ + 98780341, + 42553077 + ], + [ + 22292732, + 14153694 + ], + [ + 27376458, + 58049471 + ], + [ + 55976102, + 45871905 + ], + [ + 96615475, + 29656933 + ], + [ + 99877428, + 27605447 + ], + [ + 53614718, + 10398512 + ], + [ + 32568462, + 34301460 + ], + [ + 77700409, + 51091200 + ], + [ + 22891476, + 90721241 + ], + [ + 27162048, + 50749785 + ], + [ + 20381652, + 4598897 + ], + [ + 25021103, + 12098762 + ], + [ + 30886550, + 21462624 + ], + [ + 36475703, + 56161774 + ], + [ + 33998169, + 58447444 + ], + [ + 13192730, + 9993413 + ], + [ + 69293397, + 28056843 + ], + [ + 6054582, + 64280047 + ], + [ + 95045467, + 64922474 + ], + [ + 2471509, + 21610702 + ], + [ + 39663455, + 36711097 + ], + [ + 77718918, + 85480547 + ], + [ + 28560771, + 27272991 + ], + [ + 39509511, + 30457186 + ], + [ + 68764537, + 54844707 + ], + [ + 10678664, + 85789657 + ], + [ + 17979456, + 27313692 + ], + [ + 8628011, + 30708739 + ], + [ + 25793707, + 30690796 + ], + [ + 16198683, + 35701930 + ], + [ + 73079519, + 86350662 + ], + [ + 83289798, + 21063529 + ], + [ + 46689160, + 14866557 + ], + [ + 81016198, + 56322413 + ], + [ + 95737161, + 23583794 + ], + [ + 86619968, + 92123668 + ], + [ + 91521949, + 28607118 + ], + [ + 30084099, + 31229064 + ], + [ + 81774497, + 319984 + ], + [ + 22938844, + 59802297 + ], + [ + 96421975, + 76377178 + ], + [ + 87809928, + 25734794 + ], + [ + 7622515, + 42533038 + ], + [ + 86103568, + 17487777 + ], + [ + 92726455, + 30310834 + ], + [ + 44135631, + 42232556 + ], + [ + 95571306, + 35011326 + ], + [ + 60553034, + 36790267 + ], + [ + 4691803, + 16556788 + ], + [ + 44569355, + 79128589 + ], + [ + 58749422, + 18254487 + ], + [ + 78359056, + 12943950 + ], + [ + 43640563, + 63497054 + ], + [ + 63443457, + 46573918 + ], + [ + 66328346, + 50174588 + ], + [ + 30069543, + 55085978 + ], + [ + 90394130, + 1997170 + ], + [ + 33968697, + 42803953 + ], + [ + 93057354, + 3814139 + ], + [ + 39372994, + 13266762 + ], + [ + 89920737, + 44425535 + ], + [ + 95060407, + 2839894 + ], + [ + 47223396, + 19646860 + ], + [ + 91706091, + 37140689 + ], + [ + 29376177, + 61598037 + ], + [ + 59171991, + 48719064 + ], + [ + 4959239, + 10360643 + ], + [ + 74642299, + 35028782 + ], + [ + 86832197, + 8623933 + ], + [ + 73692795, + 30958299 + ], + [ + 66218821, + 61460580 + ], + [ + 69796683, + 51289120 + ], + [ + 95962622, + 5458931 + ], + [ + 89030337, + 90877257 + ], + [ + 56456289, + 85305693 + ], + [ + 98943745, + 96481621 + ], + [ + 28673936, + 80622964 + ], + [ + 61234743, + 41955930 + ], + [ + 93665634, + 33719647 + ], + [ + 23591165, + 85968426 + ], + [ + 74976337, + 3188232 + ], + [ + 16066575, + 86470571 + ], + [ + 42407828, + 7077963 + ], + [ + 7577196, + 22014902 + ], + [ + 64658922, + 25531717 + ], + [ + 14468155, + 44100818 + ], + [ + 29402126, + 97197232 + ], + [ + 30936715, + 58970889 + ], + [ + 2282021, + 38772233 + ], + [ + 53593063, + 89407653 + ], + [ + 76680962, + 52887794 + ], + [ + 30867017, + 49474083 + ], + [ + 4690493, + 5745296 + ], + [ + 56370349, + 45427124 + ], + [ + 58335012, + 89200476 + ], + [ + 70249319, + 75453538 + ], + [ + 28817951, + 74864453 + ], + [ + 73199976, + 42726594 + ], + [ + 77650562, + 25630424 + ], + [ + 68294844, + 66671833 + ], + [ + 9016332, + 44351336 + ], + [ + 67828695, + 55308809 + ], + [ + 24124744, + 66248612 + ], + [ + 94664531, + 31330279 + ], + [ + 24145221, + 81749663 + ], + [ + 20078908, + 87063161 + ], + [ + 17096749, + 83895137 + ], + [ + 43459966, + 36913724 + ], + [ + 65574715, + 91810081 + ], + [ + 54521778, + 47072794 + ], + [ + 90412871, + 66501707 + ], + [ + 14678056, + 42997526 + ], + [ + 67751386, + 49572687 + ], + [ + 87284489, + 85426143 + ], + [ + 79081322, + 53931007 + ], + [ + 42992499, + 75638953 + ], + [ + 58248978, + 70891475 + ], + [ + 39558709, + 80287201 + ], + [ + 97664129, + 54487045 + ], + [ + 84032706, + 99703703 + ], + [ + 50187815, + 43345519 + ], + [ + 92051033, + 22277199 + ], + [ + 33743325, + 17068887 + ], + [ + 34675314, + 92962904 + ], + [ + 75702528, + 64700427 + ], + [ + 66069732, + 31900844 + ], + [ + 99710372, + 87525494 + ], + [ + 39686878, + 69463497 + ], + [ + 35818200, + 26697641 + ], + [ + 48616629, + 65825997 + ], + [ + 49002483, + 9485867 + ], + [ + 46896659, + 25515896 + ], + [ + 1688396, + 48547166 + ], + [ + 52116141, + 72622504 + ], + [ + 98831103, + 72947512 + ], + [ + 66555416, + 14496270 + ], + [ + 38464070, + 17838724 + ], + [ + 23301903, + 13014464 + ], + [ + 2240085, + 70660761 + ], + [ + 18743685, + 18592773 + ], + [ + 56193208, + 63247570 + ], + [ + 99164101, + 32980409 + ], + [ + 24497127, + 91160108 + ], + [ + 84791473, + 80208141 + ], + [ + 86537878, + 61046474 + ], + [ + 86830700, + 40459872 + ], + [ + 92798633, + 93518385 + ], + [ + 16042122, + 67499136 + ], + [ + 25176357, + 89979284 + ], + [ + 13034294, + 34535574 + ], + [ + 3702723, + 65696506 + ], + [ + 98827690, + 93312745 + ], + [ + 31448019, + 9334813 + ], + [ + 26280662, + 25202532 + ], + [ + 64293233, + 46039753 + ], + [ + 69634124, + 65187032 + ], + [ + 42039828, + 36896424 + ], + [ + 98098064, + 7759534 + ], + [ + 49548286, + 15797828 + ], + [ + 66540736, + 40232869 + ], + [ + 86631632, + 1473009 + ], + [ + 49646435, + 12622400 + ], + [ + 53172533, + 34304784 + ], + [ + 26348911, + 79142309 + ], + [ + 65557890, + 43307829 + ], + [ + 21160284, + 87136021 + ], + [ + 26648889, + 26335680 + ], + [ + 62538507, + 10945194 + ], + [ + 69971240, + 53243765 + ], + [ + 31439859, + 72820025 + ], + [ + 50983795, + 63017857 + ], + [ + 50280712, + 48414639 + ], + [ + 12605819, + 5300558 + ], + [ + 36469307, + 10726528 + ], + [ + 7741942, + 28796179 + ], + [ + 96321608, + 34045020 + ], + [ + 22400073, + 30573935 + ], + [ + 21201360, + 8709436 + ], + [ + 1073857, + 94575006 + ], + [ + 39264862, + 76081678 + ], + [ + 73691994, + 38807532 + ], + [ + 58889336, + 35999556 + ], + [ + 60670126, + 62310575 + ], + [ + 63883876, + 15615233 + ], + [ + 45735301, + 61781959 + ], + [ + 40289470, + 4632485 + ], + [ + 35922644, + 55873041 + ], + [ + 15003828, + 48475908 + ], + [ + 76429471, + 24224744 + ], + [ + 10731150, + 73543338 + ], + [ + 25409865, + 58559176 + ], + [ + 62914097, + 41333775 + ], + [ + 48777289, + 5896880 + ], + [ + 87477915, + 87693538 + ], + [ + 38363027, + 2286055 + ], + [ + 68051562, + 28419930 + ], + [ + 52794113, + 82555573 + ], + [ + 85923345, + 14774846 + ], + [ + 64583801, + 90290684 + ], + [ + 35573243, + 37539764 + ], + [ + 1691294, + 60201630 + ], + [ + 7516801, + 19456995 + ], + [ + 66119359, + 31177888 + ], + [ + 25183954, + 91955721 + ], + [ + 74148160, + 99830776 + ], + [ + 67046069, + 8673415 + ], + [ + 27290384, + 21004475 + ], + [ + 89872333, + 50801418 + ], + [ + 74368446, + 52535840 + ], + [ + 80326189, + 42858573 + ], + [ + 11881013, + 90101535 + ], + [ + 70671415, + 58339113 + ], + [ + 20646548, + 91196911 + ], + [ + 51394603, + 33259856 + ], + [ + 84645148, + 47544459 + ], + [ + 53865963, + 82019301 + ], + [ + 76295526, + 83825557 + ], + [ + 74818198, + 60183118 + ], + [ + 26840298, + 70831158 + ], + [ + 89500188, + 3270690 + ], + [ + 55232876, + 12338323 + ], + [ + 52292060, + 85780425 + ], + [ + 98250038, + 38126373 + ], + [ + 78993881, + 50545014 + ], + [ + 30193668, + 82018815 + ], + [ + 7269812, + 24513026 + ], + [ + 26785549, + 67552826 + ], + [ + 10679645, + 34922352 + ], + [ + 96722426, + 55099912 + ], + [ + 8100712, + 68565338 + ], + [ + 26305260, + 26233814 + ], + [ + 63009585, + 73519149 + ], + [ + 33516535, + 29253206 + ], + [ + 44370311, + 11708625 + ], + [ + 81968766, + 84581329 + ], + [ + 46584641, + 10718116 + ], + [ + 10602183, + 48669407 + ], + [ + 48276882, + 50588938 + ], + [ + 46469703, + 35024091 + ], + [ + 94765266, + 20769882 + ], + [ + 32629833, + 78909138 + ], + [ + 51959395, + 30590003 + ], + [ + 30771232, + 32802605 + ], + [ + 54208637, + 56285527 + ], + [ + 40356046, + 898547 + ], + [ + 82562998, + 52862251 + ], + [ + 83625972, + 34451997 + ], + [ + 37190744, + 78233416 + ], + [ + 51162440, + 72521372 + ], + [ + 78463707, + 63401165 + ], + [ + 604648, + 61137291 + ], + [ + 47781871, + 15452514 + ], + [ + 8713544, + 25640270 + ], + [ + 70680191, + 5374574 + ], + [ + 41393855, + 73939312 + ], + [ + 58864337, + 88373339 + ], + [ + 1841310, + 58945416 + ], + [ + 59078766, + 62234650 + ], + [ + 26601192, + 39025369 + ], + [ + 77069629, + 73407440 + ], + [ + 73670468, + 89180251 + ], + [ + 50442767, + 42229017 + ], + [ + 26547620, + 1411167 + ], + [ + 74890308, + 14032617 + ], + [ + 13131659, + 13382822 + ], + [ + 46343941, + 23731669 + ], + [ + 64352688, + 9580843 + ], + [ + 78010878, + 87744930 + ], + [ + 47451729, + 70710926 + ], + [ + 40895637, + 58760776 + ], + [ + 15062117, + 36681938 + ], + [ + 50172048, + 66159700 + ], + [ + 17130796, + 37256719 + ], + [ + 46941516, + 50040376 + ], + [ + 75370794, + 2607371 + ], + [ + 31569745, + 21051028 + ], + [ + 63629917, + 80986989 + ], + [ + 63023195, + 36519506 + ], + [ + 79363512, + 57722933 + ], + [ + 69352192, + 47999797 + ], + [ + 76783533, + 52057783 + ], + [ + 89476348, + 24516440 + ], + [ + 1183123, + 44821278 + ], + [ + 4834734, + 16695278 + ], + [ + 47889095, + 30209638 + ], + [ + 70133412, + 21627785 + ], + [ + 98300056, + 41174888 + ], + [ + 40538267, + 34342478 + ], + [ + 89302923, + 40821791 + ], + [ + 2251218, + 10048051 + ], + [ + 43846463, + 13260243 + ], + [ + 68867368, + 46484171 + ], + [ + 25117290, + 6919019 + ], + [ + 46306579, + 11686124 + ], + [ + 7244608, + 76620585 + ], + [ + 86461284, + 57883722 + ], + [ + 65785766, + 37120277 + ], + [ + 25187174, + 90479224 + ], + [ + 28886844, + 93727901 + ], + [ + 40926115, + 27576764 + ], + [ + 85910943, + 48319327 + ], + [ + 44319123, + 20628301 + ], + [ + 87894594, + 23745507 + ], + [ + 95184400, + 69806959 + ], + [ + 48872325, + 68029799 + ], + [ + 59803439, + 55376916 + ], + [ + 62577738, + 79649982 + ], + [ + 23246588, + 44771410 + ], + [ + 69107687, + 23210109 + ], + [ + 97105639, + 68470124 + ], + [ + 55257755, + 65236589 + ], + [ + 37780066, + 76995212 + ], + [ + 9095191, + 76611988 + ], + [ + 76028316, + 47631793 + ], + [ + 55486850, + 81980685 + ], + [ + 52255985, + 97007868 + ], + [ + 47491508, + 5696416 + ], + [ + 17482777, + 73165394 + ], + [ + 52879510, + 18526042 + ], + [ + 99679960, + 48391477 + ], + [ + 29986813, + 71766945 + ], + [ + 63067591, + 97576320 + ], + [ + 77651517, + 22443558 + ], + [ + 62502739, + 25856725 + ], + [ + 78953449, + 64984052 + ], + [ + 84608138, + 13868875 + ], + [ + 14079510, + 31638162 + ], + [ + 2487908, + 89598433 + ], + [ + 67965366, + 45485796 + ], + [ + 91055411, + 3894420 + ], + [ + 86288543, + 72580853 + ], + [ + 4219518, + 67309034 + ], + [ + 9537470, + 17093006 + ], + [ + 69230946, + 64905685 + ], + [ + 86874716, + 15998357 + ], + [ + 3830592, + 22016372 + ], + [ + 88450451, + 88701918 + ], + [ + 15340001, + 22546013 + ], + [ + 27246200, + 4579510 + ], + [ + 3168986, + 53549628 + ], + [ + 81394267, + 5523906 + ], + [ + 44557711, + 81359068 + ], + [ + 24493697, + 59931922 + ], + [ + 81850332, + 71194765 + ], + [ + 24862975, + 17984987 + ], + [ + 73462032, + 38388532 + ], + [ + 67195021, + 42782738 + ], + [ + 28173286, + 49130740 + ], + [ + 20888555, + 23775592 + ], + [ + 66719300, + 97321180 + ], + [ + 76667547, + 77604195 + ], + [ + 30449057, + 42859535 + ], + [ + 21174487, + 32638168 + ], + [ + 16601271, + 73679248 + ], + [ + 12793655, + 48689540 + ], + [ + 19770660, + 76075922 + ], + [ + 10498526, + 46800927 + ], + [ + 91059049, + 34235510 + ], + [ + 67221609, + 40220280 + ], + [ + 80998907, + 39865053 + ], + [ + 18998370, + 12319088 + ], + [ + 63152153, + 55300952 + ], + [ + 30321204, + 79808604 + ], + [ + 91493748, + 30994112 + ], + [ + 54186080, + 36809226 + ], + [ + 8252461, + 15938058 + ], + [ + 53322671, + 89045518 + ], + [ + 7517569, + 25432705 + ], + [ + 72077084, + 70473214 + ], + [ + 33408603, + 28294785 + ], + [ + 74808200, + 7195136 + ], + [ + 46186173, + 8862986 + ], + [ + 66642975, + 62202374 + ], + [ + 84300584, + 84368308 + ], + [ + 87766169, + 55090184 + ], + [ + 16905440, + 2317495 + ], + [ + 86851357, + 65617109 + ], + [ + 76223554, + 19449503 + ], + [ + 56272745, + 68744053 + ], + [ + 10715152, + 17665042 + ], + [ + 81712810, + 80506316 + ], + [ + 27255400, + 8768469 + ], + [ + 28130729, + 82276242 + ], + [ + 75678316, + 2912255 + ], + [ + 60747435, + 7428350 + ], + [ + 20670510, + 25294592 + ], + [ + 54543559, + 71563274 + ], + [ + 87648738, + 56091218 + ], + [ + 3900997, + 82464656 + ], + [ + 49065197, + 83413166 + ], + [ + 68569727, + 16277061 + ], + [ + 74220686, + 53534101 + ], + [ + 96786088, + 49618639 + ], + [ + 85869125, + 8953588 + ], + [ + 62272109, + 49805274 + ], + [ + 65646017, + 98706569 + ], + [ + 95154977, + 33982267 + ], + [ + 69653991, + 40493016 + ], + [ + 73417205, + 71704280 + ], + [ + 80463098, + 17740029 + ], + [ + 92021725, + 12389925 + ], + [ + 70281454, + 73637667 + ], + [ + 82058478, + 91706336 + ], + [ + 67620449, + 81503424 + ], + [ + 37759789, + 70595278 + ], + [ + 49600539, + 90372503 + ], + [ + 61964243, + 7697936 + ], + [ + 39385946, + 59035771 + ], + [ + 81750809, + 69727473 + ], + [ + 40716418, + 19607458 + ], + [ + 85188226, + 98725474 + ], + [ + 31109086, + 92548884 + ], + [ + 73214489, + 90034057 + ], + [ + 68343469, + 14288815 + ], + [ + 75966513, + 91048812 + ], + [ + 99932946, + 91977283 + ], + [ + 62700828, + 65941686 + ], + [ + 91048298, + 63744237 + ], + [ + 19870091, + 27253 + ], + [ + 78284568, + 98095537 + ], + [ + 20661410, + 97972248 + ], + [ + 2824139, + 34566696 + ], + [ + 33784581, + 83025964 + ], + [ + 47526874, + 27940629 + ], + [ + 28032326, + 10718588 + ], + [ + 79544934, + 65499248 + ], + [ + 43433101, + 77646216 + ], + [ + 32515431, + 32854609 + ], + [ + 97858338, + 55607087 + ], + [ + 13684133, + 1505693 + ], + [ + 72555561, + 54650583 + ], + [ + 50160742, + 59770888 + ], + [ + 33430327, + 94893894 + ], + [ + 68545545, + 23644177 + ], + [ + 10147278, + 6369977 + ], + [ + 24669507, + 40546650 + ], + [ + 7789506, + 38205322 + ], + [ + 72247811, + 36372990 + ], + [ + 84682838, + 97797921 + ], + [ + 83089552, + 31748179 + ], + [ + 87907227, + 81549 + ], + [ + 24155425, + 33302920 + ], + [ + 87200661, + 67013103 + ], + [ + 73405520, + 54014091 + ], + [ + 5625353, + 32684260 + ], + [ + 32788589, + 60410866 + ], + [ + 43163825, + 79988091 + ], + [ + 31594466, + 55285900 + ], + [ + 3605457, + 90604455 + ], + [ + 67265492, + 81094600 + ], + [ + 46124798, + 55811205 + ], + [ + 1577722, + 85276132 + ], + [ + 62335410, + 79225942 + ], + [ + 85348414, + 79807292 + ], + [ + 11650324, + 98124762 + ], + [ + 85725341, + 7022473 + ], + [ + 4221272, + 5444274 + ], + [ + 79088982, + 92893375 + ], + [ + 76191092, + 6858564 + ], + [ + 18187066, + 88468795 + ], + [ + 78723394, + 73979850 + ], + [ + 32119754, + 79272646 + ], + [ + 64310591, + 66069997 + ], + [ + 20406280, + 50317027 + ], + [ + 68622272, + 44940756 + ], + [ + 21983177, + 81233211 + ], + [ + 41973019, + 35744423 + ], + [ + 92651804, + 32540168 + ], + [ + 13415934, + 40858650 + ], + [ + 8231130, + 31819812 + ], + [ + 57401889, + 54870646 + ], + [ + 89193302, + 42981756 + ], + [ + 80252818, + 30846061 + ], + [ + 62234213, + 79534507 + ], + [ + 17338055, + 40154452 + ], + [ + 72299256, + 79672906 + ], + [ + 85510668, + 9506656 + ], + [ + 79872344, + 38244117 + ], + [ + 41190951, + 41148251 + ], + [ + 68031354, + 29203324 + ], + [ + 18681683, + 37382826 + ], + [ + 76563507, + 11030764 + ], + [ + 35459656, + 91124613 + ], + [ + 65303015, + 95892781 + ], + [ + 51661829, + 82739273 + ], + [ + 96238249, + 98792772 + ], + [ + 99853802, + 90799772 + ], + [ + 35537889, + 50033450 + ], + [ + 61343274, + 67303704 + ], + [ + 28210476, + 95469217 + ], + [ + 28569825, + 42937860 + ], + [ + 1950277, + 70986417 + ], + [ + 69016901, + 40010050 + ], + [ + 82386071, + 76451344 + ], + [ + 61049387, + 39541539 + ], + [ + 62475484, + 57867601 + ], + [ + 19744321, + 57924828 + ], + [ + 2829394, + 79978912 + ], + [ + 82615971, + 66253096 + ], + [ + 77937539, + 17480485 + ], + [ + 4625061, + 31787357 + ], + [ + 77235066, + 26305087 + ], + [ + 63026867, + 45999858 + ], + [ + 7842953, + 31790014 + ], + [ + 55937610, + 94845434 + ], + [ + 49088094, + 22113477 + ], + [ + 43449138, + 32088737 + ], + [ + 98631259, + 2483908 + ], + [ + 91260624, + 83591970 + ], + [ + 168579, + 2645130 + ], + [ + 42615079, + 35374951 + ], + [ + 13987475, + 5286297 + ], + [ + 7272799, + 56620787 + ], + [ + 38209398, + 6067332 + ], + [ + 24221455, + 80487264 + ], + [ + 947432, + 27900672 + ], + [ + 75325317, + 64208596 + ], + [ + 54158808, + 55985767 + ], + [ + 22240400, + 83008952 + ], + [ + 91866790, + 47419822 + ], + [ + 44742719, + 66007528 + ], + [ + 18806636, + 91366648 + ], + [ + 41831779, + 18321836 + ], + [ + 77634569, + 22632134 + ], + [ + 97975368, + 45408066 + ], + [ + 56342324, + 76175658 + ], + [ + 64551703, + 59947424 + ], + [ + 90355782, + 75084125 + ], + [ + 14542775, + 37841933 + ], + [ + 62520897, + 63729052 + ], + [ + 33104241, + 27983857 + ], + [ + 71889427, + 50189592 + ], + [ + 96302697, + 76369574 + ], + [ + 98017350, + 92997974 + ], + [ + 31458467, + 55453418 + ], + [ + 24297983, + 73891020 + ], + [ + 25042926, + 56529638 + ], + [ + 178934, + 36928844 + ], + [ + 16851948, + 56446435 + ], + [ + 35443227, + 52619991 + ], + [ + 82351631, + 95930210 + ], + [ + 5263046, + 19556408 + ], + [ + 70796578, + 2117403 + ], + [ + 17787491, + 59922268 + ], + [ + 43811023, + 32365854 + ], + [ + 50179079, + 64568968 + ], + [ + 68513334, + 52443066 + ], + [ + 93745912, + 24285325 + ], + [ + 49145795, + 35032570 + ], + [ + 51579276, + 71938133 + ], + [ + 49304293, + 64810275 + ], + [ + 20579319, + 66700512 + ], + [ + 57119846, + 41690079 + ], + [ + 13137608, + 70358804 + ], + [ + 29671842, + 47097320 + ], + [ + 73784199, + 74431380 + ], + [ + 9641758, + 91772611 + ], + [ + 77291770, + 26584679 + ], + [ + 85470261, + 57459610 + ], + [ + 90629200, + 62338055 + ], + [ + 38537039, + 26358228 + ], + [ + 28327541, + 19850879 + ], + [ + 44228485, + 12922297 + ], + [ + 82789724, + 82753227 + ], + [ + 65486451, + 94616313 + ], + [ + 11723626, + 82205209 + ], + [ + 43794261, + 62238200 + ], + [ + 12531305, + 76495652 + ], + [ + 56677015, + 30697877 + ], + [ + 76306198, + 94687445 + ], + [ + 74060365, + 18714968 + ], + [ + 30976079, + 5068448 + ], + [ + 1623975, + 16210660 + ], + [ + 87529919, + 75754528 + ], + [ + 86010214, + 99679640 + ], + [ + 16535952, + 18436426 + ], + [ + 38805612, + 97220852 + ], + [ + 41356821, + 90535065 + ], + [ + 78925899, + 54300 + ], + [ + 52740461, + 11586657 + ], + [ + 62829673, + 11659627 + ], + [ + 53353550, + 96275221 + ], + [ + 32730292, + 12254494 + ], + [ + 46272301, + 42277864 + ], + [ + 98748142, + 16486674 + ], + [ + 86323034, + 37649701 + ], + [ + 45608298, + 83057669 + ], + [ + 90221167, + 39494012 + ], + [ + 12181070, + 29483698 + ], + [ + 27396948, + 47353314 + ], + [ + 71993673, + 52491363 + ], + [ + 38799796, + 16038146 + ], + [ + 11090079, + 42195524 + ], + [ + 33289786, + 39809480 + ], + [ + 37255621, + 59758230 + ], + [ + 28970311, + 97898524 + ], + [ + 79779397, + 22540625 + ], + [ + 93975623, + 29617814 + ], + [ + 91098708, + 68905203 + ], + [ + 56014993, + 17148789 + ], + [ + 88635785, + 17686691 + ], + [ + 13960224, + 48794422 + ], + [ + 6621946, + 1877497 + ], + [ + 36259157, + 94676878 + ], + [ + 82245887, + 68676290 + ], + [ + 72077542, + 65251702 + ], + [ + 40849474, + 32810428 + ], + [ + 94785241, + 34694624 + ], + [ + 53521277, + 56688828 + ], + [ + 70307456, + 38562519 + ], + [ + 76524712, + 4439707 + ], + [ + 9376719, + 31160808 + ], + [ + 51609945, + 70648345 + ], + [ + 36627889, + 9091282 + ], + [ + 52241155, + 36593528 + ], + [ + 70509690, + 72547782 + ], + [ + 10113827, + 22806043 + ], + [ + 62063856, + 71611676 + ], + [ + 92149804, + 61453908 + ], + [ + 2303051, + 24777805 + ], + [ + 14827527, + 54705456 + ], + [ + 58014865, + 79806780 + ], + [ + 7516270, + 34845981 + ], + [ + 94060718, + 52806305 + ], + [ + 32018633, + 49390106 + ], + [ + 73101573, + 13615521 + ], + [ + 58275, + 17128295 + ], + [ + 28933283, + 64938859 + ], + [ + 62863070, + 22298603 + ], + [ + 89421898, + 52034430 + ], + [ + 44726778, + 28083202 + ], + [ + 38381295, + 72799409 + ], + [ + 47741095, + 38279101 + ], + [ + 64598632, + 28328270 + ], + [ + 40498592, + 20408765 + ], + [ + 70055883, + 41171953 + ], + [ + 88382046, + 75643655 + ], + [ + 92998158, + 18139473 + ], + [ + 13479471, + 60264492 + ], + [ + 17588365, + 2335249 + ], + [ + 13262358, + 40055121 + ], + [ + 72494595, + 83732428 + ], + [ + 25862895, + 35768177 + ], + [ + 63299693, + 61781148 + ], + [ + 21996737, + 92346472 + ], + [ + 53702861, + 19362963 + ], + [ + 46997133, + 81483118 + ], + [ + 55912279, + 78743790 + ], + [ + 55595707, + 35612127 + ], + [ + 45160703, + 43123917 + ], + [ + 67657966, + 99463410 + ], + [ + 91051143, + 33501156 + ], + [ + 88385059, + 42569267 + ], + [ + 21831649, + 61580117 + ], + [ + 72411090, + 4898697 + ], + [ + 82436656, + 73078777 + ], + [ + 35730995, + 73466485 + ], + [ + 83989644, + 15208000 + ], + [ + 32660434, + 3486959 + ], + [ + 58856256, + 80997583 + ], + [ + 79691754, + 96442899 + ], + [ + 87946747, + 8927075 + ], + [ + 206829, + 77518332 + ], + [ + 56803033, + 38811284 + ], + [ + 12012860, + 37858655 + ], + [ + 41526587, + 26746563 + ], + [ + 69785201, + 72433090 + ], + [ + 23022031, + 84748828 + ], + [ + 86727949, + 92470378 + ], + [ + 81840140, + 71250711 + ], + [ + 98566596, + 2168158 + ], + [ + 32741534, + 29562756 + ], + [ + 97995245, + 183278 + ], + [ + 24268656, + 70467888 + ], + [ + 74965888, + 5000478 + ], + [ + 19654330, + 77911737 + ], + [ + 45956898, + 46939774 + ], + [ + 80391650, + 67813236 + ], + [ + 87695560, + 96740285 + ], + [ + 34553653, + 86416077 + ], + [ + 70972626, + 73089934 + ], + [ + 53754714, + 22479412 + ], + [ + 389681, + 65042611 + ], + [ + 73046954, + 14364599 + ], + [ + 62582570, + 56460011 + ], + [ + 6030224, + 35871237 + ], + [ + 85947248, + 97057251 + ], + [ + 42247776, + 61075071 + ], + [ + 7559706, + 12319116 + ], + [ + 28539809, + 1470877 + ], + [ + 73372665, + 50202031 + ], + [ + 45665279, + 7948358 + ], + [ + 14640529, + 9927897 + ], + [ + 57147074, + 86109182 + ], + [ + 46747818, + 84241482 + ], + [ + 10105786, + 4395615 + ], + [ + 17873182, + 22209533 + ], + [ + 37580409, + 10941737 + ], + [ + 76273065, + 56491735 + ], + [ + 74196245, + 71917502 + ], + [ + 81513239, + 74859112 + ], + [ + 69775249, + 82568838 + ], + [ + 80253336, + 99088685 + ], + [ + 86162975, + 91613214 + ], + [ + 84284772, + 39869246 + ], + [ + 83999718, + 76369353 + ], + [ + 79449948, + 99836245 + ], + [ + 94147211, + 99973356 + ], + [ + 73098368, + 78028766 + ], + [ + 63593959, + 56468344 + ], + [ + 1769759, + 44211096 + ], + [ + 29626363, + 94020529 + ], + [ + 63390372, + 66323315 + ], + [ + 83310013, + 32216387 + ], + [ + 15248822, + 632351 + ], + [ + 10332141, + 69237226 + ], + [ + 59048997, + 36189690 + ], + [ + 18355884, + 36946084 + ], + [ + 37500749, + 59673174 + ], + [ + 77704967, + 82169122 + ], + [ + 25855040, + 62311490 + ], + [ + 20797732, + 45602687 + ], + [ + 69589594, + 28993977 + ], + [ + 71683035, + 28845106 + ], + [ + 54976167, + 51102821 + ], + [ + 1094060, + 2942923 + ], + [ + 89541118, + 17751967 + ], + [ + 23369293, + 10838444 + ], + [ + 66011218, + 69905937 + ], + [ + 30052150, + 76804150 + ], + [ + 19854285, + 45030248 + ], + [ + 75199278, + 20996472 + ], + [ + 82674986, + 69489493 + ], + [ + 19446457, + 63094708 + ], + [ + 79699591, + 72550174 + ], + [ + 58193707, + 63454984 + ], + [ + 85089205, + 5479852 + ], + [ + 76670776, + 36719997 + ], + [ + 3492045, + 47405625 + ], + [ + 24443510, + 86753782 + ], + [ + 53571479, + 70872266 + ], + [ + 91368960, + 11122793 + ], + [ + 83358662, + 76240642 + ], + [ + 48247502, + 99554123 + ], + [ + 13469691, + 75436265 + ], + [ + 39170274, + 24726362 + ], + [ + 52973797, + 53010948 + ], + [ + 4515865, + 39103351 + ], + [ + 78553933, + 69253211 + ], + [ + 2428837, + 88857868 + ], + [ + 17467270, + 91548349 + ], + [ + 1857341, + 18027467 + ], + [ + 2638035, + 16004301 + ], + [ + 608113, + 31271013 + ], + [ + 28762352, + 19513713 + ], + [ + 83185643, + 51702441 + ], + [ + 35205564, + 82118766 + ], + [ + 58934986, + 70403063 + ], + [ + 26558542, + 25715441 + ], + [ + 11197651, + 53615004 + ], + [ + 90889150, + 92751863 + ], + [ + 58973611, + 18551365 + ], + [ + 88547251, + 10045311 + ], + [ + 68203283, + 19499676 + ], + [ + 55852664, + 12957284 + ], + [ + 93966804, + 19979266 + ], + [ + 57378802, + 42360557 + ], + [ + 17628701, + 11755316 + ], + [ + 18479705, + 19449437 + ], + [ + 5155551, + 26192022 + ], + [ + 2970782, + 72976607 + ], + [ + 1516695, + 21088543 + ], + [ + 16211105, + 42944984 + ], + [ + 38206803, + 35526580 + ], + [ + 61681367, + 87365498 + ], + [ + 75156634, + 27558789 + ], + [ + 28058096, + 65637587 + ], + [ + 90547231, + 83605537 + ], + [ + 90233845, + 81633967 + ], + [ + 91408111, + 16683407 + ], + [ + 60845293, + 4132393 + ], + [ + 33925290, + 87528835 + ], + [ + 77238583, + 93687646 + ], + [ + 94903877, + 59816714 + ], + [ + 11582414, + 32001264 + ], + [ + 33867521, + 44184659 + ], + [ + 57488238, + 54386069 + ], + [ + 77184948, + 20244468 + ], + [ + 2720, + 30613916 + ], + [ + 85461659, + 32552034 + ], + [ + 10277194, + 54960512 + ], + [ + 95625522, + 23746584 + ], + [ + 5977111, + 62835772 + ], + [ + 34902168, + 70640285 + ], + [ + 26230699, + 21540359 + ], + [ + 8388405, + 58932343 + ], + [ + 641077, + 97736711 + ], + [ + 81083471, + 41720550 + ], + [ + 77448666, + 17723861 + ], + [ + 69736839, + 62975205 + ], + [ + 16384610, + 40705048 + ], + [ + 14107271, + 53746380 + ], + [ + 65272530, + 79923421 + ], + [ + 81226793, + 29540972 + ], + [ + 57414005, + 53504323 + ], + [ + 17202264, + 45662964 + ], + [ + 29697449, + 95019172 + ], + [ + 22335059, + 60599271 + ], + [ + 76961247, + 53998749 + ], + [ + 68126727, + 87315285 + ], + [ + 74377129, + 88203972 + ], + [ + 95357706, + 11878666 + ], + [ + 70213051, + 26545524 + ], + [ + 58102414, + 84410824 + ], + [ + 58628859, + 60848255 + ], + [ + 80272275, + 83769666 + ], + [ + 85852175, + 25030464 + ], + [ + 6320977, + 66143301 + ], + [ + 70318246, + 68911155 + ], + [ + 50850683, + 50279719 + ], + [ + 49063474, + 39061141 + ], + [ + 87343390, + 22145876 + ], + [ + 86382236, + 33709983 + ], + [ + 27534018, + 65278958 + ], + [ + 51070650, + 12841389 + ], + [ + 17754729, + 77444939 + ], + [ + 21987866, + 75242399 + ], + [ + 90549689, + 36161430 + ], + [ + 2001213, + 6128107 + ], + [ + 79625823, + 29211677 + ], + [ + 90805750, + 23660947 + ], + [ + 98484888, + 2207846 + ], + [ + 50403032, + 29832715 + ], + [ + 83857195, + 45794838 + ], + [ + 20388591, + 84624410 + ], + [ + 76282505, + 12472824 + ], + [ + 42449767, + 69772982 + ], + [ + 62919764, + 55920884 + ], + [ + 67771342, + 72328398 + ], + [ + 31342451, + 76362760 + ], + [ + 70912575, + 85970172 + ], + [ + 64581444, + 70800824 + ], + [ + 814474, + 92231284 + ], + [ + 48494784, + 20231112 + ], + [ + 3536863, + 89400902 + ], + [ + 20551897, + 68700871 + ], + [ + 74595195, + 45951662 + ], + [ + 55778435, + 36535792 + ], + [ + 746506, + 89648133 + ], + [ + 79935394, + 12492455 + ], + [ + 20691816, + 3807124 + ], + [ + 83088450, + 37168024 + ], + [ + 3677831, + 14833528 + ], + [ + 44466747, + 93329927 + ], + [ + 82246958, + 81793530 + ], + [ + 56431894, + 58721278 + ], + [ + 14088191, + 9389105 + ], + [ + 17376487, + 1989779 + ], + [ + 8044591, + 63046613 + ], + [ + 80355303, + 2089974 + ], + [ + 18631268, + 72110438 + ], + [ + 10260088, + 75595831 + ], + [ + 69980634, + 43659175 + ], + [ + 67792478, + 48117007 + ], + [ + 65629679, + 56440938 + ], + [ + 62274637, + 51406647 + ], + [ + 50098660, + 93501794 + ], + [ + 45139360, + 34979591 + ], + [ + 25514687, + 17132973 + ], + [ + 14258746, + 16178190 + ], + [ + 47849722, + 26940900 + ], + [ + 49705450, + 44399163 + ], + [ + 59077153, + 8611595 + ], + [ + 95850245, + 74449032 + ], + [ + 50145113, + 12234100 + ], + [ + 78044966, + 52997316 + ], + [ + 18324113, + 79873651 + ], + [ + 96923736, + 85578853 + ], + [ + 14679261, + 46609264 + ], + [ + 93713277, + 17332380 + ], + [ + 31880719, + 33377196 + ], + [ + 47648646, + 88451575 + ], + [ + 99562743, + 74271059 + ], + [ + 22968826, + 45853210 + ], + [ + 32258720, + 62538766 + ], + [ + 99238923, + 85458476 + ], + [ + 21613722, + 26721299 + ], + [ + 52355263, + 23552476 + ], + [ + 38226777, + 26059398 + ], + [ + 57455081, + 17331873 + ], + [ + 43109312, + 48622410 + ], + [ + 81535603, + 6014176 + ], + [ + 32685882, + 91852304 + ], + [ + 81303008, + 22442024 + ], + [ + 53644856, + 60857596 + ], + [ + 422895, + 42925870 + ], + [ + 38092340, + 86809798 + ], + [ + 5136631, + 48837282 + ], + [ + 58724341, + 48523061 + ], + [ + 65117116, + 79631693 + ], + [ + 34046957, + 74275308 + ], + [ + 60151806, + 59568203 + ], + [ + 28404191, + 8429304 + ], + [ + 31060410, + 98937403 + ], + [ + 54510559, + 17609754 + ], + [ + 69394865, + 85972524 + ], + [ + 40974634, + 9874182 + ], + [ + 19246123, + 72004212 + ], + [ + 88802947, + 5426018 + ], + [ + 50099616, + 47339907 + ], + [ + 91674628, + 30062508 + ], + [ + 1628608, + 76865649 + ], + [ + 66724167, + 42324170 + ], + [ + 99835212, + 17576870 + ], + [ + 21810786, + 12793961 + ], + [ + 15830847, + 67440558 + ], + [ + 93876096, + 45653385 + ], + [ + 78772530, + 83989688 + ], + [ + 96728490, + 30852382 + ], + [ + 31847710, + 22764611 + ], + [ + 94935580, + 23165906 + ], + [ + 83639526, + 21363162 + ], + [ + 13103073, + 3832872 + ], + [ + 19108745, + 45229423 + ], + [ + 37596731, + 75597489 + ], + [ + 9785423, + 90095573 + ], + [ + 61242088, + 83008179 + ], + [ + 64347363, + 25928391 + ], + [ + 76824266, + 10264618 + ], + [ + 1382210, + 99486538 + ], + [ + 42667013, + 70960074 + ], + [ + 55323894, + 74208216 + ], + [ + 17329797, + 22100293 + ], + [ + 49593198, + 48159908 + ], + [ + 65374433, + 89158493 + ], + [ + 57066556, + 38934170 + ], + [ + 19138743, + 95671319 + ], + [ + 64515829, + 68695528 + ], + [ + 94811327, + 97920896 + ], + [ + 50585288, + 94282307 + ], + [ + 87461020, + 80934871 + ], + [ + 2514073, + 22255957 + ], + [ + 59353917, + 93173058 + ], + [ + 21278493, + 68992027 + ], + [ + 33260935, + 18121305 + ], + [ + 27139354, + 87001722 + ], + [ + 29625347, + 68363767 + ], + [ + 35778175, + 4433169 + ], + [ + 87345252, + 94943356 + ], + [ + 39983207, + 99082313 + ], + [ + 34493896, + 87969323 + ], + [ + 76158304, + 75687935 + ], + [ + 95276553, + 70476694 + ], + [ + 69979018, + 76205186 + ], + [ + 72727127, + 85335410 + ], + [ + 98893495, + 58569149 + ], + [ + 85493900, + 19582995 + ], + [ + 87402700, + 86614784 + ], + [ + 62993812, + 45835699 + ], + [ + 17716533, + 40790425 + ], + [ + 60872261, + 53187736 + ], + [ + 82795012, + 12325941 + ], + [ + 60677295, + 71766558 + ], + [ + 49702744, + 64700520 + ], + [ + 27706670, + 12198709 + ], + [ + 90461850, + 74765279 + ], + [ + 74989579, + 22800736 + ], + [ + 26008647, + 83200711 + ], + [ + 10483102, + 88237053 + ], + [ + 55256388, + 38845598 + ], + [ + 23542275, + 73017520 + ], + [ + 32699704, + 3934154 + ], + [ + 15678809, + 8380148 + ], + [ + 98453833, + 48702512 + ], + [ + 87603127, + 58579158 + ], + [ + 81560758, + 54359382 + ], + [ + 19949120, + 69520000 + ], + [ + 43390277, + 78439475 + ], + [ + 34105937, + 83239544 + ], + [ + 60986465, + 46176426 + ], + [ + 46351561, + 60244999 + ], + [ + 35505319, + 52771163 + ], + [ + 69020980, + 70407105 + ], + [ + 44985367, + 84335410 + ], + [ + 11033221, + 87824409 + ], + [ + 80605976, + 71149327 + ], + [ + 92127419, + 90017497 + ], + [ + 30928461, + 25986235 + ], + [ + 28612417, + 38332682 + ], + [ + 34520004, + 9592256 + ], + [ + 17995259, + 65367805 + ], + [ + 54220821, + 79973504 + ], + [ + 95767576, + 71564481 + ], + [ + 49533140, + 65981431 + ], + [ + 17207057, + 55774718 + ], + [ + 37484091, + 36791626 + ], + [ + 98971408, + 8735585 + ], + [ + 59365820, + 72168541 + ], + [ + 20453283, + 90825365 + ], + [ + 39579715, + 38132640 + ], + [ + 68297437, + 26396110 + ], + [ + 19462591, + 36334426 + ], + [ + 22411634, + 1962833 + ], + [ + 25952930, + 13341424 + ], + [ + 98175655, + 98967607 + ], + [ + 55995620, + 99659135 + ], + [ + 62008557, + 57645350 + ], + [ + 34029443, + 94553931 + ], + [ + 2756752, + 70610191 + ], + [ + 71857152, + 58574390 + ], + [ + 19977355, + 79739932 + ], + [ + 86744977, + 62646942 + ], + [ + 48780935, + 5041967 + ], + [ + 18008644, + 7144304 + ], + [ + 12602230, + 42198692 + ], + [ + 13754678, + 10467516 + ], + [ + 83321137, + 3992940 + ], + [ + 5077036, + 40162316 + ], + [ + 6069551, + 83952097 + ], + [ + 29142902, + 410652 + ], + [ + 34322757, + 92667952 + ], + [ + 83430559, + 55253871 + ], + [ + 77813800, + 60380624 + ], + [ + 93948295, + 87682139 + ], + [ + 55396795, + 44744426 + ], + [ + 72435674, + 68644293 + ], + [ + 68739054, + 54392391 + ], + [ + 51567836, + 23200029 + ], + [ + 93526310, + 15727605 + ], + [ + 54780566, + 19621487 + ], + [ + 11540772, + 46114439 + ], + [ + 97417649, + 62103401 + ], + [ + 86212730, + 36973626 + ], + [ + 50249540, + 9396562 + ], + [ + 21218945, + 65529173 + ], + [ + 40674712, + 60473327 + ], + [ + 44428087, + 94823351 + ], + [ + 35966053, + 72175090 + ], + [ + 92927423, + 18775070 + ], + [ + 71299134, + 91318375 + ], + [ + 81174329, + 61670194 + ], + [ + 3910684, + 31493433 + ], + [ + 14891027, + 91706603 + ], + [ + 28712569, + 59423681 + ], + [ + 6080000, + 63053102 + ], + [ + 70147583, + 85816904 + ], + [ + 40449361, + 43924026 + ], + [ + 92588196, + 95297376 + ], + [ + 37653172, + 6305866 + ], + [ + 9049869, + 88597853 + ], + [ + 56581713, + 42287671 + ], + [ + 65885281, + 52010798 + ], + [ + 43756023, + 7050030 + ], + [ + 60930521, + 79413200 + ], + [ + 63735570, + 97701811 + ], + [ + 45517115, + 52923433 + ], + [ + 82077347, + 46738893 + ], + [ + 23199250, + 2801416 + ], + [ + 50668059, + 30825354 + ], + [ + 52946518, + 20378306 + ], + [ + 28624912, + 18556339 + ], + [ + 42175286, + 24757054 + ], + [ + 57596914, + 80675824 + ], + [ + 46198992, + 12682646 + ], + [ + 72646050, + 2992754 + ], + [ + 50042933, + 45717713 + ], + [ + 7861808, + 18881381 + ], + [ + 18916307, + 41025936 + ], + [ + 95501758, + 51285359 + ], + [ + 29531369, + 29803672 + ], + [ + 95619813, + 9245661 + ], + [ + 7437209, + 3821816 + ], + [ + 47826901, + 45106162 + ], + [ + 46279384, + 63048861 + ], + [ + 40484301, + 98449948 + ], + [ + 3972998, + 32110887 + ], + [ + 21130344, + 74533417 + ], + [ + 84124432, + 7856965 + ], + [ + 14216031, + 64320163 + ], + [ + 57384813, + 33887018 + ], + [ + 53744387, + 51351879 + ], + [ + 43192895, + 54897257 + ], + [ + 6113607, + 22279306 + ], + [ + 59270213, + 34165544 + ], + [ + 10585150, + 29991889 + ], + [ + 78181293, + 29396895 + ], + [ + 34013323, + 75752898 + ], + [ + 35813587, + 14326706 + ], + [ + 56458120, + 8626763 + ], + [ + 77731275, + 26837065 + ], + [ + 91899915, + 59817396 + ], + [ + 98037131, + 98237296 + ], + [ + 40380141, + 32896147 + ], + [ + 52165503, + 70838488 + ], + [ + 47583954, + 9513021 + ], + [ + 49871507, + 59831660 + ], + [ + 38745326, + 61167816 + ], + [ + 10446678, + 65131086 + ], + [ + 91391412, + 67870389 + ], + [ + 46307128, + 82759341 + ], + [ + 59700135, + 86677636 + ], + [ + 38041074, + 91707834 + ], + [ + 46227685, + 32216663 + ], + [ + 40721166, + 53440770 + ], + [ + 2571351, + 62360506 + ], + [ + 91872861, + 1769997 + ], + [ + 40014081, + 75109692 + ], + [ + 27834542, + 93740205 + ], + [ + 55519028, + 83702846 + ], + [ + 1792026, + 76315377 + ], + [ + 15839576, + 71890776 + ], + [ + 33502199, + 52373012 + ], + [ + 18425136, + 11455620 + ], + [ + 51046095, + 22486074 + ], + [ + 81717982, + 13623553 + ], + [ + 13089882, + 77457486 + ], + [ + 39217290, + 39298687 + ], + [ + 16586565, + 8994173 + ], + [ + 52694935, + 45988991 + ], + [ + 47389184, + 36234070 + ], + [ + 55152240, + 4967098 + ], + [ + 3663833, + 82504715 + ], + [ + 32051694, + 16156898 + ], + [ + 68204802, + 53804161 + ], + [ + 44974158, + 51186201 + ], + [ + 69063113, + 78395205 + ], + [ + 36860399, + 69824615 + ], + [ + 85153212, + 51139164 + ], + [ + 55919928, + 6712855 + ], + [ + 24564788, + 79339350 + ], + [ + 71057609, + 47743306 + ], + [ + 8574315, + 77985908 + ], + [ + 99993949, + 1503934 + ], + [ + 56148412, + 76099321 + ], + [ + 41867905, + 28354461 + ], + [ + 81650534, + 89733654 + ], + [ + 79264771, + 4424393 + ], + [ + 43620826, + 56263164 + ], + [ + 18942204, + 90828674 + ], + [ + 44920663, + 94020204 + ], + [ + 79912631, + 59005514 + ], + [ + 53010337, + 61704947 + ], + [ + 15397704, + 7334616 + ], + [ + 39251041, + 66831653 + ], + [ + 88290862, + 83494155 + ], + [ + 64043833, + 37238771 + ], + [ + 10411421, + 65241839 + ], + [ + 16535170, + 1035506 + ], + [ + 87066669, + 45719346 + ], + [ + 75980098, + 16035389 + ], + [ + 81278128, + 23242146 + ], + [ + 7612174, + 83320935 + ], + [ + 30753785, + 59984390 + ], + [ + 13589079, + 32417222 + ], + [ + 65626388, + 242390 + ], + [ + 57495029, + 68582627 + ], + [ + 76945279, + 50926358 + ], + [ + 14057957, + 51973908 + ], + [ + 25186060, + 14466064 + ], + [ + 76226924, + 26104004 + ], + [ + 93574598, + 54496579 + ], + [ + 35692825, + 7693326 + ], + [ + 22749488, + 61377352 + ], + [ + 24398596, + 28861116 + ], + [ + 89799673, + 20964870 + ], + [ + 32706583, + 50655611 + ], + [ + 79616670, + 74276399 + ], + [ + 90471906, + 55489062 + ], + [ + 99465080, + 25432449 + ], + [ + 91104402, + 86044943 + ], + [ + 56967553, + 74038774 + ], + [ + 21540351, + 24735551 + ], + [ + 23666699, + 19234476 + ], + [ + 27284495, + 77304298 + ], + [ + 92165194, + 96778224 + ], + [ + 87685609, + 75036394 + ], + [ + 81353136, + 26449922 + ], + [ + 36412488, + 88607761 + ], + [ + 49252746, + 90635345 + ], + [ + 2094542, + 62333651 + ], + [ + 25538551, + 54637251 + ], + [ + 77912528, + 52901417 + ], + [ + 10128315, + 30354952 + ], + [ + 2545064, + 65638359 + ], + [ + 67355262, + 79815448 + ], + [ + 62986397, + 60070080 + ], + [ + 16424284, + 9038848 + ], + [ + 79115843, + 25183955 + ], + [ + 70821342, + 86362854 + ], + [ + 18025315, + 71708722 + ], + [ + 20885898, + 2592156 + ], + [ + 58559714, + 79280481 + ], + [ + 14220820, + 93129069 + ], + [ + 74626811, + 41579498 + ], + [ + 28056318, + 79103689 + ], + [ + 75127581, + 40670724 + ], + [ + 5026639, + 79289151 + ], + [ + 34504410, + 20981503 + ], + [ + 26834892, + 31227577 + ], + [ + 10630051, + 93851920 + ], + [ + 43607692, + 81371225 + ], + [ + 55954014, + 90201563 + ], + [ + 85310360, + 77803971 + ], + [ + 43295347, + 26507533 + ], + [ + 32541636, + 13630637 + ], + [ + 68469921, + 89298755 + ], + [ + 34804562, + 4918585 + ], + [ + 56443818, + 36424388 + ], + [ + 73807110, + 5168118 + ], + [ + 64324119, + 71451056 + ], + [ + 77475050, + 2324337 + ], + [ + 5587417, + 33919088 + ], + [ + 11686078, + 24996149 + ], + [ + 43896933, + 516104 + ], + [ + 6980551, + 65124470 + ], + [ + 78143163, + 62798782 + ], + [ + 67393703, + 60393034 + ], + [ + 13604985, + 61893036 + ], + [ + 48444599, + 54403258 + ], + [ + 51706951, + 85499602 + ], + [ + 36062336, + 25784115 + ], + [ + 58280718, + 89116696 + ], + [ + 67560838, + 78925285 + ], + [ + 90686948, + 68252009 + ], + [ + 79149402, + 74924370 + ], + [ + 48676202, + 42434628 + ], + [ + 69173370, + 3633483 + ], + [ + 42517173, + 35691689 + ], + [ + 35378397, + 43197391 + ], + [ + 88688078, + 91131313 + ], + [ + 61928840, + 51214702 + ], + [ + 34706378, + 53173743 + ], + [ + 79277107, + 46300309 + ], + [ + 80616754, + 10873654 + ], + [ + 82036453, + 90058495 + ], + [ + 88858565, + 42556763 + ], + [ + 89498812, + 33621883 + ], + [ + 42178938, + 44077485 + ], + [ + 80548917, + 17913010 + ], + [ + 94286642, + 70680810 + ], + [ + 31350148, + 23573667 + ], + [ + 555947, + 64246200 + ], + [ + 77000703, + 35923221 + ], + [ + 70922357, + 59262431 + ], + [ + 28914921, + 62087187 + ], + [ + 32054285, + 19238378 + ], + [ + 90774001, + 27982166 + ], + [ + 45563611, + 10496378 + ], + [ + 75899442, + 88141867 + ], + [ + 98782128, + 22117136 + ], + [ + 52779572, + 29938297 + ], + [ + 53896800, + 36669012 + ], + [ + 16734277, + 42183144 + ], + [ + 22021108, + 46852573 + ], + [ + 88455350, + 82895551 + ], + [ + 60567917, + 13905345 + ], + [ + 38566504, + 14129148 + ], + [ + 39644724, + 6293011 + ], + [ + 56397822, + 6236748 + ], + [ + 27732530, + 54397476 + ], + [ + 1804609, + 70235155 + ], + [ + 74061977, + 84167230 + ], + [ + 75104308, + 4831513 + ], + [ + 65777118, + 20584324 + ], + [ + 34513170, + 27333648 + ], + [ + 49809608, + 92419385 + ], + [ + 53260426, + 83220120 + ], + [ + 75773960, + 93210889 + ], + [ + 22690095, + 56600241 + ], + [ + 52377456, + 28552770 + ], + [ + 87943782, + 23618970 + ], + [ + 82213150, + 34120380 + ], + [ + 62886954, + 90682202 + ], + [ + 96066577, + 27193321 + ], + [ + 35446901, + 35585149 + ], + [ + 39487005, + 84028774 + ], + [ + 95692538, + 98552974 + ], + [ + 24761302, + 6544820 + ], + [ + 55295062, + 60285071 + ], + [ + 32845826, + 95674408 + ], + [ + 51380672, + 50444294 + ], + [ + 82803910, + 10231329 + ], + [ + 20531052, + 23091478 + ], + [ + 32882762, + 61029396 + ], + [ + 54322824, + 2369438 + ], + [ + 44879108, + 36883867 + ], + [ + 91111059, + 46026717 + ], + [ + 13256448, + 11396290 + ], + [ + 86223176, + 76966755 + ], + [ + 58467186, + 47660053 + ], + [ + 94528676, + 61797326 + ], + [ + 3959828, + 9244049 + ], + [ + 47608543, + 22063719 + ], + [ + 87010162, + 53768847 + ], + [ + 24657664, + 73900551 + ], + [ + 58047415, + 40081497 + ], + [ + 15230383, + 79231733 + ], + [ + 26799037, + 46120954 + ], + [ + 39871812, + 12733435 + ], + [ + 20246260, + 42545412 + ], + [ + 87820425, + 73022054 + ], + [ + 95517193, + 43336233 + ], + [ + 7608931, + 45500755 + ], + [ + 46904286, + 26428120 + ], + [ + 93732832, + 66949778 + ], + [ + 43219094, + 47524887 + ], + [ + 56251458, + 72187637 + ], + [ + 5366581, + 94624153 + ], + [ + 61602686, + 72032771 + ], + [ + 53444620, + 54867465 + ], + [ + 48200837, + 43488222 + ], + [ + 82108123, + 65922116 + ], + [ + 33010782, + 8965865 + ], + [ + 44232030, + 77378876 + ], + [ + 59208236, + 26730245 + ], + [ + 62122905, + 23212199 + ], + [ + 49878598, + 57807480 + ], + [ + 26629665, + 65721066 + ], + [ + 74347364, + 18942180 + ], + [ + 89776908, + 72656663 + ], + [ + 33449898, + 6619359 + ], + [ + 78744136, + 39941484 + ], + [ + 27717382, + 26818036 + ], + [ + 69887843, + 41352083 + ], + [ + 33957682, + 22665422 + ], + [ + 36347906, + 50208311 + ], + [ + 10286799, + 34960774 + ], + [ + 41778971, + 91037503 + ], + [ + 713678, + 16751671 + ], + [ + 66469776, + 83939350 + ], + [ + 8178922, + 5551557 + ], + [ + 36039502, + 5901067 + ], + [ + 38227047, + 95247480 + ], + [ + 26837711, + 80117376 + ], + [ + 41003082, + 47189267 + ], + [ + 37237158, + 45896185 + ], + [ + 44586897, + 51702862 + ], + [ + 67120115, + 91003954 + ], + [ + 64805604, + 4090828 + ], + [ + 9832949, + 66514185 + ], + [ + 46258109, + 44550771 + ], + [ + 35536587, + 69828799 + ], + [ + 69597820, + 79029545 + ], + [ + 62674703, + 42271598 + ], + [ + 56165579, + 66196057 + ], + [ + 57332797, + 78973945 + ], + [ + 99480158, + 18611706 + ], + [ + 18570231, + 68005122 + ], + [ + 58905822, + 94766847 + ], + [ + 18651351, + 50259217 + ], + [ + 12366890, + 38029355 + ], + [ + 89729584, + 8388043 + ], + [ + 52426672, + 57365753 + ], + [ + 48953132, + 33032939 + ], + [ + 45772229, + 7160401 + ], + [ + 56139591, + 85038865 + ], + [ + 2121882, + 94763413 + ], + [ + 53444529, + 22504026 + ], + [ + 50832804, + 85931464 + ], + [ + 66857780, + 87761499 + ], + [ + 39907805, + 87264114 + ], + [ + 31954474, + 10400370 + ], + [ + 40324603, + 97497361 + ], + [ + 57974809, + 563185 + ], + [ + 78725057, + 75417601 + ], + [ + 52890916, + 62928230 + ], + [ + 36236839, + 26309459 + ], + [ + 35890680, + 6831588 + ], + [ + 61297055, + 25769546 + ], + [ + 33120941, + 7192819 + ], + [ + 61721859, + 2098203 + ], + [ + 22783778, + 9912898 + ], + [ + 24419971, + 86006584 + ], + [ + 63711810, + 14897628 + ], + [ + 24022746, + 19100933 + ], + [ + 23923154, + 33524221 + ], + [ + 3746033, + 80042836 + ], + [ + 60365132, + 23978358 + ], + [ + 49087915, + 98141068 + ], + [ + 35114935, + 58273881 + ], + [ + 28074566, + 25540811 + ], + [ + 37042488, + 25604518 + ], + [ + 78197081, + 83612660 + ], + [ + 7173892, + 99004982 + ], + [ + 16189258, + 94234476 + ], + [ + 82624062, + 42128222 + ], + [ + 70976768, + 36404175 + ], + [ + 31626822, + 61440270 + ], + [ + 32421212, + 68982003 + ], + [ + 40430496, + 50956580 + ], + [ + 21730568, + 2896063 + ], + [ + 11296838, + 67908303 + ], + [ + 7948455, + 77392405 + ], + [ + 16490103, + 65575099 + ], + [ + 36126465, + 95389629 + ], + [ + 3407488, + 93995100 + ], + [ + 37923912, + 89242113 + ], + [ + 79523587, + 92528373 + ], + [ + 95105253, + 73121147 + ], + [ + 38468718, + 49801982 + ], + [ + 52162274, + 29847080 + ], + [ + 73713632, + 13536191 + ], + [ + 94186773, + 37247068 + ], + [ + 38742239, + 12471714 + ], + [ + 7389818, + 28690772 + ], + [ + 99149044, + 99015086 + ], + [ + 9640130, + 18200213 + ], + [ + 32117966, + 1202719 + ], + [ + 30148209, + 46003662 + ], + [ + 40411771, + 58498090 + ], + [ + 19743889, + 6686743 + ], + [ + 67400867, + 66534786 + ], + [ + 42970289, + 62502152 + ], + [ + 74942277, + 47916177 + ], + [ + 79470748, + 55995454 + ], + [ + 4177945, + 52888569 + ], + [ + 36098109, + 44876280 + ], + [ + 63673757, + 88663369 + ], + [ + 74912829, + 94282530 + ], + [ + 68406961, + 29797417 + ], + [ + 11748756, + 94724705 + ], + [ + 32814779, + 62710951 + ], + [ + 72712625, + 39414508 + ], + [ + 51701417, + 9089971 + ], + [ + 12089732, + 24713163 + ], + [ + 4198253, + 41504174 + ], + [ + 24052517, + 99865040 + ], + [ + 38290704, + 63434274 + ], + [ + 65708077, + 95366714 + ], + [ + 46616380, + 65837901 + ], + [ + 42934148, + 21330152 + ], + [ + 9727439, + 46407987 + ], + [ + 37818143, + 33486164 + ], + [ + 24942985, + 23981322 + ], + [ + 73647728, + 69349010 + ], + [ + 90677205, + 56151578 + ], + [ + 46448123, + 78935418 + ], + [ + 7432239, + 79024716 + ], + [ + 33677342, + 86874256 + ], + [ + 99021310, + 86456525 + ], + [ + 92344356, + 99401854 + ], + [ + 21126781, + 91333953 + ], + [ + 11921555, + 79998608 + ], + [ + 44037634, + 11184215 + ], + [ + 70251784, + 97155996 + ], + [ + 8779852, + 32600673 + ], + [ + 22364351, + 56688380 + ], + [ + 58292611, + 8187958 + ], + [ + 31598632, + 49482586 + ], + [ + 42212252, + 23191337 + ], + [ + 51898284, + 32972766 + ], + [ + 19536627, + 98653300 + ], + [ + 19125261, + 59730205 + ], + [ + 71648518, + 30634155 + ], + [ + 72682133, + 19025133 + ], + [ + 43023055, + 1717735 + ], + [ + 16261883, + 73487994 + ], + [ + 21508676, + 49031978 + ], + [ + 94394814, + 20422948 + ], + [ + 34515548, + 10086625 + ], + [ + 59070652, + 3485481 + ], + [ + 60741461, + 1974741 + ], + [ + 33891546, + 57403167 + ], + [ + 9396915, + 66104013 + ], + [ + 24223189, + 78962655 + ], + [ + 24663678, + 21264856 + ], + [ + 52250757, + 72997565 + ], + [ + 93394805, + 20354602 + ], + [ + 15428192, + 82017143 + ], + [ + 67338828, + 46237332 + ], + [ + 85839321, + 31611806 + ], + [ + 35577391, + 57838767 + ], + [ + 55018783, + 2297710 + ], + [ + 78625051, + 33631841 + ], + [ + 23523928, + 50907868 + ], + [ + 41932040, + 32844622 + ], + [ + 92017305, + 60524082 + ], + [ + 68579303, + 58311372 + ], + [ + 61886662, + 49666153 + ], + [ + 92269123, + 40541366 + ], + [ + 44331115, + 95383687 + ], + [ + 45642798, + 86152837 + ], + [ + 47032034, + 42702321 + ], + [ + 92014477, + 88263183 + ], + [ + 34457964, + 52420231 + ], + [ + 29895468, + 28818233 + ], + [ + 91917186, + 98535079 + ], + [ + 66382075, + 52781017 + ], + [ + 35929070, + 91945523 + ], + [ + 88508477, + 97739843 + ], + [ + 64289255, + 58003547 + ], + [ + 69088263, + 21336313 + ], + [ + 23154488, + 90099382 + ], + [ + 55242424, + 98528722 + ], + [ + 79864639, + 26973867 + ], + [ + 49647534, + 35810442 + ], + [ + 31024650, + 19368648 + ], + [ + 33255036, + 49744251 + ], + [ + 54893362, + 41560772 + ], + [ + 89108080, + 97637459 + ], + [ + 62048014, + 42080278 + ], + [ + 34504189, + 9493755 + ], + [ + 85558000, + 51325333 + ], + [ + 511320, + 46702003 + ], + [ + 55855897, + 65405404 + ], + [ + 73583128, + 64174523 + ], + [ + 15650341, + 17794617 + ], + [ + 2659592, + 50291241 + ], + [ + 7746276, + 33721506 + ], + [ + 51945388, + 23846948 + ], + [ + 49183945, + 97870845 + ], + [ + 40617907, + 64327660 + ], + [ + 16855332, + 14178280 + ], + [ + 96625081, + 61743250 + ], + [ + 89413810, + 8861364 + ], + [ + 73172409, + 67959146 + ], + [ + 4891994, + 72358746 + ], + [ + 29103546, + 56841314 + ], + [ + 70825956, + 71039729 + ], + [ + 29412625, + 95701616 + ], + [ + 41074938, + 88661492 + ], + [ + 48630438, + 70891969 + ], + [ + 73708661, + 56416802 + ], + [ + 14995823, + 72050755 + ], + [ + 29684903, + 96937336 + ], + [ + 45092224, + 28690253 + ], + [ + 21881313, + 4232377 + ], + [ + 33442123, + 78573965 + ], + [ + 48077386, + 13157321 + ], + [ + 7345594, + 23908370 + ], + [ + 20550093, + 42987798 + ], + [ + 8114631, + 69620972 + ], + [ + 73401470, + 92493742 + ], + [ + 41690442, + 27446427 + ], + [ + 71530393, + 47043482 + ], + [ + 96302422, + 22452839 + ], + [ + 48039746, + 9387800 + ], + [ + 28185964, + 39587523 + ], + [ + 49051547, + 476639 + ], + [ + 16504988, + 93104070 + ], + [ + 7511459, + 58659799 + ], + [ + 28096442, + 21162742 + ], + [ + 416540, + 6554769 + ], + [ + 42793702, + 30370893 + ], + [ + 26442533, + 84253617 + ], + [ + 90288960, + 48812590 + ], + [ + 90907691, + 35862766 + ], + [ + 11108729, + 86180935 + ], + [ + 86504344, + 66982541 + ], + [ + 2128449, + 92798562 + ], + [ + 95060434, + 35372079 + ], + [ + 87154972, + 73586348 + ], + [ + 1955920, + 66728157 + ], + [ + 24780944, + 94800165 + ], + [ + 40355281, + 71363208 + ], + [ + 31735183, + 81898795 + ], + [ + 68725579, + 12500456 + ], + [ + 78709413, + 72000648 + ], + [ + 55388877, + 8152493 + ], + [ + 39045401, + 27406556 + ], + [ + 14972609, + 74136665 + ], + [ + 152005, + 39306114 + ], + [ + 73636455, + 12403842 + ], + [ + 26404665, + 52886381 + ], + [ + 3989408, + 62736515 + ], + [ + 49776945, + 37706577 + ], + [ + 97204461, + 71102610 + ], + [ + 63853159, + 92404312 + ], + [ + 71271383, + 47549057 + ], + [ + 72156662, + 27855569 + ], + [ + 71680558, + 6639248 + ], + [ + 59604481, + 54847341 + ], + [ + 22592704, + 53029551 + ], + [ + 39082509, + 93150366 + ], + [ + 89025809, + 26999992 + ], + [ + 31985768, + 89420206 + ], + [ + 13412661, + 76638066 + ], + [ + 7705925, + 41021431 + ], + [ + 972600, + 61859904 + ], + [ + 39846434, + 72239361 + ], + [ + 14312907, + 69997623 + ], + [ + 39934671, + 58576218 + ], + [ + 36991722, + 19398722 + ], + [ + 50923303, + 5866222 + ], + [ + 37308013, + 75009636 + ], + [ + 52408268, + 74830609 + ], + [ + 75414927, + 94852973 + ], + [ + 76042591, + 46754816 + ], + [ + 60562901, + 92221191 + ], + [ + 37284983, + 60330343 + ], + [ + 7637646, + 13487670 + ], + [ + 13782295, + 44278749 + ], + [ + 92848276, + 95585565 + ], + [ + 33295828, + 27521797 + ], + [ + 95388797, + 73691463 + ], + [ + 21861052, + 1541355 + ], + [ + 33974142, + 22720669 + ], + [ + 32580568, + 91311543 + ], + [ + 17244638, + 96798746 + ], + [ + 33737214, + 73406876 + ], + [ + 70119935, + 74214671 + ], + [ + 68023143, + 35539451 + ], + [ + 44406326, + 19886936 + ], + [ + 25864383, + 43185854 + ], + [ + 60474889, + 83815804 + ], + [ + 34878955, + 50489065 + ], + [ + 29686229, + 55678728 + ], + [ + 93250968, + 15162424 + ], + [ + 92186937, + 41687679 + ], + [ + 51729166, + 67616979 + ], + [ + 60742197, + 75097415 + ], + [ + 58840838, + 99601095 + ], + [ + 70190974, + 6156035 + ], + [ + 79625168, + 22118176 + ], + [ + 89796140, + 53124485 + ], + [ + 76946028, + 41295394 + ], + [ + 73895255, + 75749756 + ], + [ + 73842830, + 12069123 + ], + [ + 94221702, + 59673537 + ], + [ + 48063525, + 55806921 + ], + [ + 86123095, + 64428904 + ], + [ + 89322735, + 46855876 + ], + [ + 64800489, + 3172756 + ], + [ + 53169637, + 14864759 + ], + [ + 40317680, + 39082262 + ], + [ + 69706280, + 53244563 + ], + [ + 6164165, + 35590245 + ], + [ + 20288572, + 17408680 + ], + [ + 35587783, + 75428440 + ], + [ + 78201646, + 53372731 + ], + [ + 23498122, + 21807512 + ], + [ + 6657436, + 54723578 + ], + [ + 90777683, + 68197291 + ], + [ + 94645638, + 80741652 + ], + [ + 2198509, + 12991443 + ], + [ + 33577515, + 56811645 + ], + [ + 12633628, + 42659836 + ], + [ + 64125995, + 41628166 + ], + [ + 5458133, + 67716913 + ], + [ + 64978550, + 61135125 + ], + [ + 14177113, + 47003247 + ], + [ + 28130027, + 56206708 + ], + [ + 30125937, + 4185691 + ], + [ + 44595537, + 91810718 + ], + [ + 28220504, + 77387175 + ], + [ + 30736850, + 40173399 + ], + [ + 7047218, + 50346423 + ], + [ + 2936831, + 38932842 + ], + [ + 89549640, + 37201427 + ], + [ + 5550242, + 83677028 + ], + [ + 44529549, + 86139790 + ], + [ + 32264512, + 5675206 + ], + [ + 27570600, + 98804277 + ], + [ + 12587483, + 22141769 + ], + [ + 3735486, + 51811738 + ], + [ + 70790287, + 82505892 + ], + [ + 81897968, + 66481964 + ], + [ + 68950669, + 87187357 + ], + [ + 69229076, + 88259231 + ], + [ + 7087189, + 15791323 + ], + [ + 43115263, + 1424735 + ], + [ + 23151081, + 59197617 + ], + [ + 42918045, + 33050684 + ], + [ + 26471885, + 58500070 + ], + [ + 40683133, + 22682268 + ], + [ + 99720971, + 64172663 + ], + [ + 71616027, + 62464593 + ], + [ + 24006188, + 73911680 + ], + [ + 2761837, + 49663409 + ], + [ + 31046860, + 73025435 + ], + [ + 81512558, + 75741852 + ], + [ + 83752670, + 36995130 + ], + [ + 90943313, + 94279965 + ], + [ + 86201552, + 85853604 + ], + [ + 37753818, + 27760721 + ], + [ + 26216884, + 69651792 + ], + [ + 25448951, + 71683275 + ], + [ + 2829169, + 52436347 + ], + [ + 3628499, + 56086278 + ], + [ + 24687979, + 47621649 + ], + [ + 89901085, + 60030584 + ], + [ + 12441519, + 62005673 + ], + [ + 46187144, + 78625512 + ], + [ + 28946779, + 96958095 + ], + [ + 17082584, + 29567745 + ], + [ + 48115212, + 12560502 + ], + [ + 25715995, + 23735618 + ], + [ + 74819255, + 57573619 + ], + [ + 4253618, + 95832830 + ], + [ + 70280548, + 56286709 + ], + [ + 3032514, + 79324924 + ], + [ + 51543973, + 38932509 + ], + [ + 30917882, + 12530359 + ], + [ + 97726258, + 48519299 + ], + [ + 92754932, + 40277442 + ], + [ + 94049059, + 90096729 + ], + [ + 14375807, + 22040918 + ], + [ + 33562917, + 10084169 + ], + [ + 7871830, + 81056118 + ], + [ + 6921609, + 38058309 + ], + [ + 75994494, + 22999622 + ], + [ + 60735154, + 15708532 + ], + [ + 34294207, + 6456869 + ], + [ + 48013741, + 26945005 + ], + [ + 12390453, + 16504474 + ], + [ + 86994292, + 25818192 + ], + [ + 5714184, + 41670868 + ], + [ + 96749872, + 81349849 + ], + [ + 44019265, + 51952553 + ], + [ + 90523879, + 85987792 + ], + [ + 17951932, + 40058606 + ], + [ + 80645284, + 16186973 + ], + [ + 13080993, + 90947359 + ], + [ + 77990042, + 68000303 + ], + [ + 7085556, + 92111293 + ], + [ + 1059323, + 4950785 + ], + [ + 20357094, + 47122507 + ], + [ + 60086153, + 70499490 + ], + [ + 47349281, + 57391405 + ], + [ + 53822212, + 5534230 + ], + [ + 18417575, + 39824559 + ], + [ + 53961358, + 66048440 + ], + [ + 43948003, + 26944950 + ], + [ + 58999603, + 47154082 + ], + [ + 39865553, + 88273703 + ], + [ + 39679970, + 77345156 + ], + [ + 21429183, + 36156000 + ], + [ + 52267826, + 96867015 + ], + [ + 98854840, + 77627680 + ], + [ + 35594223, + 72058709 + ], + [ + 45689954, + 62657082 + ], + [ + 58025370, + 66997636 + ], + [ + 29653602, + 61616010 + ], + [ + 71065421, + 85523201 + ], + [ + 58306490, + 7276203 + ], + [ + 83538269, + 4300060 + ], + [ + 26274278, + 74895151 + ], + [ + 93310874, + 62195333 + ], + [ + 31466176, + 5436030 + ], + [ + 63662339, + 44138612 + ], + [ + 98692490, + 32860695 + ], + [ + 88938334, + 34840054 + ], + [ + 21485421, + 35453007 + ], + [ + 63876361, + 77069574 + ], + [ + 19728855, + 48748991 + ], + [ + 42105069, + 72717110 + ], + [ + 53260196, + 41996982 + ], + [ + 56759130, + 18280416 + ], + [ + 50275072, + 67066923 + ], + [ + 71440645, + 33653952 + ], + [ + 54589252, + 66708589 + ], + [ + 29535792, + 46566845 + ], + [ + 85785359, + 66223854 + ], + [ + 42532434, + 10237830 + ], + [ + 49837160, + 52832421 + ], + [ + 46616930, + 74664528 + ], + [ + 1562707, + 18957397 + ], + [ + 92854676, + 8490033 + ], + [ + 37066705, + 20353067 + ], + [ + 98141113, + 63462425 + ], + [ + 43239093, + 81264552 + ], + [ + 42694138, + 83239793 + ], + [ + 30121531, + 32724733 + ], + [ + 95612114, + 45940543 + ], + [ + 75881101, + 62891482 + ], + [ + 64574544, + 2175788 + ], + [ + 82421760, + 38464306 + ], + [ + 99802148, + 8897032 + ], + [ + 71992615, + 13272476 + ], + [ + 71605440, + 75302870 + ], + [ + 94089574, + 44583120 + ], + [ + 67472557, + 25320826 + ], + [ + 83770830, + 19175292 + ], + [ + 16706547, + 8194554 + ], + [ + 78018187, + 30227231 + ], + [ + 86315856, + 33071645 + ], + [ + 1298274, + 55876362 + ], + [ + 47930527, + 64614652 + ], + [ + 2986382, + 66116867 + ], + [ + 63190659, + 895539 + ], + [ + 72675126, + 12134852 + ], + [ + 83250831, + 71381054 + ], + [ + 8906363, + 39439809 + ], + [ + 64187254, + 15056584 + ], + [ + 44134477, + 78239710 + ], + [ + 27298470, + 21794935 + ], + [ + 60229668, + 8754557 + ], + [ + 48587499, + 33098919 + ], + [ + 61054201, + 18352397 + ], + [ + 53277682, + 5231083 + ], + [ + 67619519, + 46464657 + ], + [ + 57885113, + 74750364 + ], + [ + 48446746, + 81727548 + ], + [ + 97378827, + 21783672 + ], + [ + 84747943, + 98327764 + ], + [ + 86398238, + 40880533 + ], + [ + 35628654, + 44307852 + ], + [ + 61748991, + 99218222 + ], + [ + 29055549, + 95999760 + ], + [ + 78845625, + 69504976 + ], + [ + 5352747, + 4854766 + ], + [ + 80593170, + 32394468 + ], + [ + 91728733, + 86690481 + ], + [ + 53423965, + 6690316 + ], + [ + 33614214, + 46947751 + ], + [ + 43512178, + 2487639 + ], + [ + 81512727, + 84530883 + ], + [ + 11391583, + 41563420 + ], + [ + 26725200, + 3819167 + ], + [ + 8268030, + 80954602 + ], + [ + 94782715, + 1248844 + ], + [ + 1033273, + 9047114 + ], + [ + 82446079, + 33906178 + ], + [ + 72453522, + 30570559 + ], + [ + 55615448, + 71636156 + ], + [ + 74342569, + 52605452 + ], + [ + 63850794, + 58038773 + ], + [ + 67902190, + 44393238 + ], + [ + 50690194, + 19795796 + ], + [ + 28810704, + 47239672 + ], + [ + 78814721, + 43642842 + ], + [ + 59374420, + 80193291 + ], + [ + 24235587, + 59101121 + ], + [ + 39272941, + 7669449 + ], + [ + 15972175, + 12486606 + ], + [ + 38634804, + 33059801 + ], + [ + 11759788, + 54453190 + ], + [ + 91824042, + 8610091 + ], + [ + 44432638, + 75469854 + ], + [ + 35776865, + 32710439 + ], + [ + 94098231, + 58104769 + ], + [ + 9147468, + 92338423 + ], + [ + 40184645, + 89889905 + ], + [ + 63171199, + 74565312 + ], + [ + 89365483, + 97722575 + ], + [ + 51841728, + 62887345 + ], + [ + 58412593, + 69993127 + ], + [ + 79562145, + 97413300 + ], + [ + 53134835, + 28223750 + ], + [ + 44929699, + 64585841 + ], + [ + 9474593, + 66677693 + ], + [ + 30934329, + 66391002 + ], + [ + 64850965, + 30136785 + ], + [ + 6132341, + 22337832 + ], + [ + 91263218, + 2813241 + ], + [ + 88580156, + 13160476 + ], + [ + 89402018, + 29204285 + ], + [ + 87945567, + 24525009 + ], + [ + 85288401, + 14838037 + ], + [ + 52490709, + 56240020 + ], + [ + 52585390, + 80055999 + ], + [ + 56945721, + 54737174 + ], + [ + 57202297, + 17303107 + ], + [ + 19146462, + 60763312 + ], + [ + 50506890, + 11743128 + ], + [ + 93958390, + 47047593 + ], + [ + 61584749, + 88677437 + ], + [ + 79644603, + 21970344 + ], + [ + 44580116, + 64327701 + ], + [ + 71503632, + 39130952 + ], + [ + 66348350, + 7794163 + ], + [ + 21959573, + 80765961 + ], + [ + 72796404, + 85838897 + ], + [ + 22906115, + 74984154 + ], + [ + 55507663, + 43207168 + ], + [ + 83894574, + 37310182 + ], + [ + 77012366, + 18254052 + ], + [ + 91685255, + 95145798 + ], + [ + 34148077, + 48665332 + ], + [ + 69122791, + 23852703 + ], + [ + 41928499, + 58233192 + ], + [ + 9765857, + 45951215 + ], + [ + 43613466, + 1442223 + ], + [ + 95025413, + 13135085 + ], + [ + 69329665, + 72937910 + ], + [ + 20172473, + 66688272 + ], + [ + 20306379, + 60506783 + ], + [ + 57842863, + 28108200 + ], + [ + 35705251, + 9549714 + ], + [ + 61192265, + 26671797 + ], + [ + 80188403, + 97156342 + ], + [ + 30173078, + 74484059 + ], + [ + 95832, + 51440660 + ], + [ + 87501284, + 16348521 + ], + [ + 44559191, + 2750148 + ], + [ + 82867455, + 65440277 + ], + [ + 78404866, + 23624923 + ], + [ + 56736888, + 75101178 + ], + [ + 35600121, + 25230156 + ], + [ + 26963475, + 45618630 + ], + [ + 70393846, + 91630576 + ], + [ + 11749053, + 73770047 + ], + [ + 38027391, + 97510477 + ], + [ + 34775227, + 67334823 + ], + [ + 82309611, + 59670123 + ], + [ + 30481281, + 57073229 + ], + [ + 6561676, + 20661512 + ], + [ + 22010854, + 65860792 + ], + [ + 86882704, + 90465408 + ], + [ + 90016755, + 92902802 + ], + [ + 33960966, + 27527840 + ], + [ + 87324230, + 24919776 + ], + [ + 85121228, + 48556330 + ], + [ + 45741434, + 11391527 + ], + [ + 70022680, + 57779201 + ], + [ + 70749220, + 83641027 + ], + [ + 64795331, + 32663480 + ], + [ + 31459083, + 43270165 + ], + [ + 79137836, + 25170942 + ], + [ + 72894428, + 40511955 + ], + [ + 66495369, + 66630540 + ], + [ + 48549660, + 31136223 + ], + [ + 94941414, + 93869881 + ], + [ + 42862908, + 20779417 + ], + [ + 8149217, + 90296058 + ], + [ + 54098629, + 20650614 + ], + [ + 78858936, + 40093192 + ], + [ + 85908114, + 38909319 + ], + [ + 37152066, + 79146558 + ], + [ + 60061079, + 47566488 + ], + [ + 38460841, + 29081481 + ], + [ + 73280116, + 46215100 + ], + [ + 76148356, + 78121648 + ], + [ + 13614369, + 50684732 + ], + [ + 88387964, + 21090368 + ], + [ + 57693779, + 27953165 + ], + [ + 22370832, + 33230330 + ], + [ + 911681, + 78221401 + ], + [ + 48755613, + 49048438 + ], + [ + 89258754, + 85380263 + ], + [ + 82487737, + 13737964 + ], + [ + 53299975, + 84913539 + ], + [ + 94615656, + 329781 + ], + [ + 74552434, + 16542876 + ], + [ + 19810309, + 71820103 + ], + [ + 70513643, + 96418334 + ], + [ + 16912908, + 43356285 + ], + [ + 24575340, + 36687749 + ], + [ + 96138844, + 23865146 + ], + [ + 40028410, + 11414297 + ], + [ + 4912882, + 35680796 + ], + [ + 86029734, + 34952710 + ], + [ + 93058756, + 55186970 + ], + [ + 87945140, + 84031505 + ], + [ + 81767271, + 59108536 + ], + [ + 88002690, + 7217671 + ], + [ + 46394253, + 16796656 + ], + [ + 61926616, + 8502085 + ], + [ + 90639242, + 67566859 + ], + [ + 99445577, + 2387766 + ], + [ + 75237412, + 25771128 + ], + [ + 26650905, + 69288285 + ], + [ + 15864534, + 20272560 + ], + [ + 78821737, + 58510462 + ], + [ + 89649018, + 10880767 + ], + [ + 14564362, + 37985624 + ], + [ + 77712636, + 77291795 + ], + [ + 1328043, + 71722096 + ], + [ + 76691059, + 19738457 + ], + [ + 42030781, + 96596224 + ], + [ + 75972884, + 63400041 + ], + [ + 1711263, + 46713627 + ], + [ + 61415020, + 60289418 + ], + [ + 12143901, + 8582939 + ], + [ + 59397865, + 3035801 + ], + [ + 97006429, + 34944476 + ], + [ + 22037511, + 86366771 + ], + [ + 34053437, + 50611500 + ], + [ + 75430986, + 38899860 + ], + [ + 26483959, + 80533872 + ], + [ + 44757599, + 41825084 + ], + [ + 35090077, + 96811747 + ], + [ + 75184934, + 52257169 + ], + [ + 35248241, + 2798371 + ], + [ + 58195532, + 17971296 + ], + [ + 5135306, + 96395396 + ], + [ + 69736806, + 49880423 + ], + [ + 90463047, + 52898613 + ], + [ + 48119020, + 82018539 + ], + [ + 43638435, + 90231605 + ], + [ + 98688687, + 83635843 + ], + [ + 37384334, + 88346106 + ], + [ + 18130470, + 57404101 + ], + [ + 16632157, + 71660220 + ], + [ + 57426973, + 91265818 + ], + [ + 50437041, + 67923890 + ], + [ + 40398331, + 29515351 + ], + [ + 13005901, + 7968441 + ], + [ + 84018005, + 21909904 + ], + [ + 22141215, + 90409293 + ], + [ + 71231398, + 99421969 + ], + [ + 84683764, + 57632661 + ], + [ + 93985426, + 52052499 + ], + [ + 48930738, + 48464900 + ], + [ + 97938412, + 85078730 + ], + [ + 56121393, + 76063020 + ], + [ + 76733438, + 99371059 + ], + [ + 44655883, + 4352724 + ], + [ + 26876728, + 2021059 + ], + [ + 87300759, + 42421857 + ], + [ + 52655761, + 18928094 + ], + [ + 91262882, + 48918568 + ], + [ + 10067524, + 77238436 + ], + [ + 36533470, + 16415525 + ], + [ + 34049015, + 55379866 + ], + [ + 39445744, + 17588957 + ], + [ + 45373604, + 91622136 + ], + [ + 16287463, + 58065897 + ], + [ + 20523367, + 27614851 + ], + [ + 8316368, + 28698662 + ], + [ + 9150163, + 88772306 + ], + [ + 4189147, + 29212392 + ], + [ + 96975351, + 80041310 + ], + [ + 83443606, + 39790515 + ], + [ + 73284731, + 41928718 + ], + [ + 92859053, + 86431541 + ], + [ + 40504787, + 65506833 + ], + [ + 7346671, + 11550305 + ], + [ + 74244004, + 33480364 + ], + [ + 73445962, + 95822027 + ], + [ + 63999008, + 59259307 + ], + [ + 75430055, + 14828528 + ], + [ + 66121439, + 76983621 + ], + [ + 37497896, + 40532241 + ], + [ + 42253501, + 5110205 + ], + [ + 7738991, + 48578096 + ], + [ + 8393062, + 59812219 + ], + [ + 43685434, + 7443103 + ], + [ + 29159230, + 66247071 + ], + [ + 20753769, + 28023366 + ], + [ + 75242508, + 8327023 + ], + [ + 2084655, + 39511980 + ], + [ + 30657242, + 14527150 + ], + [ + 22446007, + 92303431 + ], + [ + 28659243, + 52491007 + ], + [ + 69567673, + 25543309 + ], + [ + 84316584, + 76249085 + ], + [ + 6304110, + 98924627 + ], + [ + 24771789, + 89416062 + ], + [ + 67791138, + 51849243 + ], + [ + 26302560, + 20610753 + ], + [ + 94521150, + 45386582 + ], + [ + 83535571, + 16215706 + ], + [ + 95236224, + 36150734 + ], + [ + 757879, + 35947924 + ], + [ + 93135028, + 44272868 + ], + [ + 77722462, + 40575193 + ], + [ + 85931918, + 20335123 + ], + [ + 73623653, + 49275953 + ], + [ + 13294815, + 58404286 + ], + [ + 6286296, + 2511388 + ], + [ + 88549915, + 26718556 + ], + [ + 8701130, + 29679316 + ], + [ + 21927198, + 77505901 + ], + [ + 1406209, + 62518823 + ], + [ + 63523428, + 86070130 + ], + [ + 6075728, + 30397611 + ], + [ + 14431870, + 35867457 + ], + [ + 68725447, + 54090095 + ], + [ + 5141519, + 8373786 + ], + [ + 66358064, + 36819371 + ], + [ + 78735432, + 26665804 + ], + [ + 1029596, + 78161505 + ], + [ + 26803387, + 66540058 + ], + [ + 21045991, + 65453614 + ], + [ + 85061892, + 26569490 + ], + [ + 70425621, + 32974574 + ], + [ + 13600220, + 817081 + ], + [ + 66288419, + 14929429 + ], + [ + 28388079, + 62967348 + ], + [ + 34551773, + 1601402 + ], + [ + 25909084, + 28711204 + ], + [ + 17546697, + 1729471 + ], + [ + 77678073, + 59371038 + ], + [ + 66553358, + 28378200 + ], + [ + 2465269, + 75991825 + ], + [ + 95667427, + 63206739 + ], + [ + 71656201, + 28546635 + ], + [ + 45321457, + 2026207 + ], + [ + 52124768, + 87955308 + ], + [ + 6452368, + 76579897 + ], + [ + 7531326, + 15802319 + ], + [ + 23794767, + 85338106 + ], + [ + 3055693, + 22403514 + ], + [ + 85582398, + 3681908 + ], + [ + 66368240, + 21534046 + ], + [ + 9252008, + 74465618 + ], + [ + 75433144, + 28099862 + ], + [ + 54163449, + 29808005 + ], + [ + 96687129, + 95808110 + ], + [ + 23858902, + 33441177 + ], + [ + 91681089, + 40190921 + ], + [ + 52605785, + 45330436 + ], + [ + 8007923, + 40156189 + ], + [ + 62917390, + 65598119 + ], + [ + 37456514, + 45182473 + ], + [ + 84710660, + 53929750 + ], + [ + 10178150, + 54748403 + ], + [ + 67802633, + 17759493 + ], + [ + 59367663, + 12637573 + ], + [ + 3632327, + 45375902 + ], + [ + 59412559, + 71815550 + ], + [ + 42593412, + 94095959 + ], + [ + 17052529, + 16460288 + ], + [ + 77488168, + 71125721 + ], + [ + 43364886, + 60325539 + ], + [ + 55082732, + 42098275 + ], + [ + 31036495, + 16682231 + ], + [ + 15671303, + 71328146 + ], + [ + 63094061, + 86328474 + ], + [ + 59925894, + 11380064 + ], + [ + 86415286, + 14504872 + ], + [ + 48279896, + 18977359 + ], + [ + 21815875, + 93900982 + ], + [ + 52156770, + 78617510 + ], + [ + 38074685, + 80828793 + ], + [ + 678662, + 21526980 + ], + [ + 23105023, + 64950450 + ], + [ + 17848966, + 70202342 + ], + [ + 85852196, + 23822869 + ], + [ + 49043983, + 21524836 + ], + [ + 36085759, + 9102619 + ], + [ + 59767500, + 80403809 + ], + [ + 52212383, + 64692076 + ], + [ + 84912389, + 48197713 + ], + [ + 25801861, + 43370244 + ], + [ + 77986794, + 81886061 + ], + [ + 99818853, + 60955529 + ], + [ + 38402025, + 60233029 + ], + [ + 41445899, + 80168905 + ], + [ + 7965472, + 92843088 + ], + [ + 55920734, + 86482476 + ], + [ + 57416607, + 45719165 + ], + [ + 1439203, + 6841075 + ], + [ + 51636541, + 94740487 + ], + [ + 10327339, + 2379217 + ], + [ + 17382145, + 89025108 + ], + [ + 78405881, + 18706149 + ], + [ + 59162609, + 53058411 + ], + [ + 56392170, + 25348653 + ], + [ + 60764210, + 21631943 + ], + [ + 74058959, + 78056614 + ], + [ + 95551482, + 13361882 + ], + [ + 31799708, + 16755457 + ], + [ + 78374721, + 51218310 + ], + [ + 82464467, + 45066182 + ], + [ + 43496006, + 9836067 + ], + [ + 69911971, + 54917673 + ], + [ + 18976493, + 42358703 + ], + [ + 50059494, + 66645737 + ], + [ + 33370449, + 54689342 + ], + [ + 46187886, + 17640559 + ], + [ + 61662974, + 13995226 + ], + [ + 53578666, + 8944372 + ], + [ + 42201912, + 40542303 + ], + [ + 94139843, + 23314712 + ], + [ + 82185297, + 48515051 + ], + [ + 53154266, + 67233250 + ], + [ + 87569955, + 42557008 + ], + [ + 158628, + 15048923 + ], + [ + 44234029, + 55861047 + ], + [ + 41078910, + 18047962 + ], + [ + 65484091, + 43139713 + ], + [ + 6898119, + 75396930 + ], + [ + 49384717, + 22938946 + ], + [ + 42933180, + 16794429 + ], + [ + 29557736, + 44102898 + ], + [ + 94499948, + 66703685 + ], + [ + 51284718, + 54173935 + ], + [ + 34561626, + 28306886 + ], + [ + 9422703, + 32268319 + ], + [ + 84334450, + 49071636 + ], + [ + 43756303, + 37363954 + ], + [ + 52202133, + 27915824 + ], + [ + 50281424, + 71260463 + ], + [ + 426594, + 64370602 + ], + [ + 38966975, + 47813749 + ], + [ + 96820524, + 30353618 + ], + [ + 4435496, + 98755517 + ], + [ + 70154002, + 28571031 + ], + [ + 66331244, + 63978327 + ], + [ + 52184169, + 57157206 + ], + [ + 29670660, + 98605152 + ], + [ + 3544597, + 56999327 + ], + [ + 74927608, + 24676101 + ], + [ + 46390207, + 3693391 + ], + [ + 36614008, + 39945538 + ], + [ + 45938327, + 18830294 + ], + [ + 60142602, + 31802241 + ], + [ + 88298936, + 59842975 + ], + [ + 71837369, + 94982999 + ], + [ + 54797110, + 92877013 + ], + [ + 64499391, + 52996468 + ], + [ + 57631672, + 61535813 + ], + [ + 33588734, + 67282107 + ], + [ + 65150111, + 59273365 + ], + [ + 48370994, + 75538167 + ], + [ + 31216067, + 56666773 + ], + [ + 18772779, + 45373956 + ], + [ + 92281836, + 44569251 + ], + [ + 30515211, + 23520973 + ], + [ + 78639978, + 89342742 + ], + [ + 83931550, + 41803369 + ], + [ + 54765868, + 69584697 + ], + [ + 29707105, + 45058897 + ], + [ + 23509680, + 6224847 + ], + [ + 64521485, + 36433501 + ], + [ + 72015731, + 24764680 + ], + [ + 15677103, + 71870598 + ], + [ + 80431230, + 70758563 + ], + [ + 27158, + 70036308 + ], + [ + 47687164, + 62175780 + ], + [ + 62927330, + 9178192 + ], + [ + 25361828, + 66398651 + ], + [ + 31921792, + 77655077 + ], + [ + 62075195, + 89352241 + ], + [ + 52418727, + 8578317 + ], + [ + 2412379, + 99606081 + ], + [ + 39719133, + 21975130 + ], + [ + 56356475, + 45241739 + ], + [ + 43812715, + 73753403 + ], + [ + 12018814, + 78740046 + ], + [ + 85130091, + 59821848 + ], + [ + 24559963, + 36534576 + ], + [ + 85025176, + 89599736 + ], + [ + 97459767, + 99227571 + ], + [ + 75124290, + 34227270 + ], + [ + 43764113, + 97011837 + ], + [ + 7063606, + 42438927 + ], + [ + 76091667, + 54605424 + ], + [ + 6684633, + 27050368 + ], + [ + 76157970, + 36838920 + ], + [ + 1618198, + 77242704 + ], + [ + 51647223, + 93937707 + ], + [ + 89124056, + 12691798 + ], + [ + 6694193, + 39888976 + ], + [ + 95863815, + 79587884 + ], + [ + 23248907, + 57549989 + ], + [ + 26806199, + 52202883 + ], + [ + 89508974, + 70217543 + ], + [ + 25760522, + 20830559 + ], + [ + 34253126, + 31053614 + ], + [ + 94236993, + 38852217 + ], + [ + 51955754, + 99011388 + ], + [ + 80143411, + 48636518 + ], + [ + 79092392, + 1843794 + ], + [ + 12582886, + 42595272 + ], + [ + 39853318, + 63805879 + ], + [ + 88829564, + 80396704 + ], + [ + 53207143, + 99065735 + ], + [ + 7472039, + 37027450 + ], + [ + 57254705, + 93022087 + ], + [ + 93823238, + 43297504 + ], + [ + 68674978, + 20606634 + ], + [ + 60815569, + 82708499 + ], + [ + 16265239, + 15154878 + ], + [ + 60905185, + 80173818 + ], + [ + 79114923, + 84152952 + ], + [ + 99710483, + 43032688 + ], + [ + 63374087, + 88381051 + ], + [ + 82777973, + 99123684 + ], + [ + 94085721, + 34487337 + ], + [ + 28141044, + 63199909 + ], + [ + 60484278, + 67088233 + ], + [ + 47027618, + 80448971 + ], + [ + 88589773, + 491871 + ], + [ + 21516347, + 36124261 + ], + [ + 31487531, + 42778932 + ], + [ + 10810934, + 4661379 + ], + [ + 41714938, + 73721497 + ], + [ + 94298311, + 23863846 + ], + [ + 43729267, + 67109422 + ], + [ + 56033457, + 38380142 + ], + [ + 6850528, + 6856742 + ], + [ + 48922916, + 88913066 + ], + [ + 95856241, + 76050811 + ], + [ + 99515441, + 94470077 + ], + [ + 24024449, + 60137378 + ], + [ + 99086460, + 22659438 + ], + [ + 549149, + 76722634 + ], + [ + 8657031, + 73355192 + ], + [ + 30625510, + 90523222 + ], + [ + 28363979, + 40792770 + ], + [ + 13412774, + 19594830 + ], + [ + 35428999, + 35350449 + ], + [ + 44936539, + 74138739 + ], + [ + 66910695, + 16562169 + ], + [ + 53164842, + 42941420 + ], + [ + 69908060, + 25823064 + ], + [ + 41587871, + 47893470 + ], + [ + 66788495, + 5072319 + ], + [ + 29315916, + 25653639 + ], + [ + 9088876, + 6197126 + ], + [ + 49692644, + 45132052 + ], + [ + 35299768, + 44361388 + ], + [ + 78997668, + 37240000 + ], + [ + 57332106, + 28689867 + ], + [ + 7424697, + 93994289 + ], + [ + 70882758, + 18122228 + ], + [ + 66452167, + 52360096 + ], + [ + 37853078, + 21829184 + ], + [ + 4232945, + 90837235 + ], + [ + 6219091, + 22453054 + ], + [ + 82558380, + 57762792 + ], + [ + 48432898, + 53387111 + ], + [ + 37083466, + 35883002 + ], + [ + 553176, + 98589413 + ], + [ + 82511851, + 61429020 + ], + [ + 84212065, + 51991820 + ], + [ + 1725978, + 12395716 + ], + [ + 68549392, + 55395341 + ], + [ + 10199409, + 62565309 + ], + [ + 74499004, + 48106413 + ], + [ + 85104287, + 19207196 + ], + [ + 97926228, + 75998691 + ], + [ + 1011042, + 44456934 + ], + [ + 49407273, + 79281001 + ], + [ + 53199372, + 31257743 + ], + [ + 29194441, + 47643509 + ], + [ + 75473886, + 43205556 + ], + [ + 20444892, + 71873942 + ], + [ + 70144180, + 40723017 + ], + [ + 74929950, + 85632948 + ], + [ + 92865216, + 13298701 + ], + [ + 74642330, + 37644746 + ], + [ + 68032686, + 92135031 + ], + [ + 32300993, + 1325619 + ], + [ + 1187224, + 8629796 + ], + [ + 26961545, + 44053731 + ], + [ + 12703172, + 41117473 + ], + [ + 66510870, + 1914786 + ], + [ + 2482255, + 21621231 + ], + [ + 77500466, + 97106425 + ], + [ + 51276732, + 35624365 + ], + [ + 74605264, + 5715612 + ], + [ + 67881542, + 77788745 + ], + [ + 1300447, + 43467497 + ], + [ + 73036505, + 79284868 + ], + [ + 15145485, + 59532208 + ], + [ + 22254198, + 97977221 + ], + [ + 51711177, + 96331531 + ], + [ + 40944898, + 37153688 + ], + [ + 23072757, + 53171571 + ], + [ + 52800915, + 14905793 + ], + [ + 74278570, + 49038300 + ], + [ + 41458501, + 11284930 + ], + [ + 67412343, + 41934591 + ], + [ + 77282637, + 32120963 + ], + [ + 96272158, + 42662694 + ], + [ + 27105383, + 70797854 + ], + [ + 30568568, + 23187666 + ], + [ + 2664172, + 56971487 + ], + [ + 96748685, + 62146300 + ], + [ + 92376992, + 25987772 + ], + [ + 26726459, + 26572536 + ], + [ + 51813122, + 35806051 + ], + [ + 6511399, + 7182107 + ], + [ + 12361018, + 2316725 + ], + [ + 61221376, + 35166480 + ], + [ + 17520433, + 68494846 + ], + [ + 34485211, + 98328422 + ], + [ + 71584003, + 98635008 + ], + [ + 94631946, + 97854522 + ], + [ + 32993612, + 16567067 + ], + [ + 72042528, + 31352763 + ], + [ + 17233397, + 16239722 + ], + [ + 33985298, + 33448876 + ], + [ + 90382170, + 42748581 + ], + [ + 59696904, + 51110311 + ], + [ + 34915801, + 58293776 + ], + [ + 38286400, + 96609439 + ], + [ + 92389645, + 44352124 + ], + [ + 23192063, + 79586567 + ], + [ + 43605061, + 88978491 + ], + [ + 28570260, + 7469015 + ], + [ + 81589056, + 16034916 + ], + [ + 33168383, + 87160453 + ], + [ + 48666331, + 50751890 + ], + [ + 87505796, + 99450139 + ], + [ + 94277843, + 88345697 + ], + [ + 47336263, + 43309254 + ], + [ + 4189919, + 91432964 + ], + [ + 93157821, + 40404170 + ], + [ + 48935049, + 5902541 + ], + [ + 49579129, + 58833389 + ], + [ + 23107625, + 80669966 + ], + [ + 84706377, + 74326296 + ], + [ + 21520342, + 31046138 + ], + [ + 11993826, + 11062631 + ], + [ + 36355295, + 87508152 + ], + [ + 41272408, + 64851942 + ], + [ + 38237024, + 70432151 + ], + [ + 42848614, + 54870205 + ], + [ + 3927917, + 20452665 + ], + [ + 73697100, + 2544717 + ], + [ + 46592155, + 76012878 + ], + [ + 46822651, + 21301326 + ], + [ + 98672730, + 4175581 + ], + [ + 31620133, + 91164654 + ], + [ + 17716763, + 61764041 + ], + [ + 83073485, + 35026468 + ], + [ + 5948352, + 67549503 + ], + [ + 49194571, + 58480426 + ], + [ + 89627849, + 85735886 + ], + [ + 89044850, + 37452441 + ], + [ + 74964459, + 25264344 + ], + [ + 16734863, + 15568910 + ], + [ + 3870369, + 85241176 + ], + [ + 74116965, + 23856385 + ], + [ + 31122903, + 52367062 + ], + [ + 47947030, + 23229500 + ], + [ + 72897561, + 49153049 + ], + [ + 30851991, + 46805972 + ], + [ + 11391530, + 64801755 + ], + [ + 23814883, + 98331096 + ], + [ + 94530464, + 73004884 + ], + [ + 71706502, + 63353021 + ], + [ + 20665872, + 24493285 + ], + [ + 37418993, + 96343629 + ], + [ + 78989873, + 55296432 + ], + [ + 37656981, + 90722233 + ], + [ + 9994865, + 48152027 + ], + [ + 82978622, + 82694085 + ], + [ + 96313243, + 53582455 + ], + [ + 65022379, + 35642539 + ], + [ + 5660872, + 70948225 + ], + [ + 8093646, + 53096356 + ], + [ + 62721394, + 55632887 + ], + [ + 96396177, + 80168717 + ], + [ + 6775125, + 97255834 + ], + [ + 63903213, + 70025718 + ], + [ + 12304548, + 15558087 + ], + [ + 71342572, + 96571151 + ], + [ + 68847189, + 57252144 + ], + [ + 88432340, + 11105087 + ], + [ + 25262678, + 26968505 + ], + [ + 88814486, + 48894969 + ], + [ + 34481720, + 1754933 + ], + [ + 53189601, + 34828218 + ], + [ + 6195942, + 99049937 + ], + [ + 61494014, + 60228209 + ], + [ + 52269237, + 61461645 + ], + [ + 36970935, + 16762008 + ], + [ + 18183448, + 66133243 + ], + [ + 65591916, + 79159437 + ], + [ + 39327934, + 83413063 + ], + [ + 45111353, + 16151650 + ], + [ + 42340433, + 78994668 + ], + [ + 87540695, + 78280455 + ], + [ + 27082941, + 2781342 + ], + [ + 12719374, + 9723319 + ], + [ + 72473510, + 8289137 + ], + [ + 59828558, + 65502365 + ], + [ + 93770224, + 7291200 + ], + [ + 71430624, + 6441436 + ], + [ + 51890742, + 72562177 + ], + [ + 71887492, + 40360464 + ], + [ + 50111363, + 87669071 + ], + [ + 44366294, + 56133848 + ], + [ + 55426451, + 16860630 + ], + [ + 79214790, + 86266076 + ], + [ + 70541954, + 72659638 + ], + [ + 86339770, + 10015929 + ], + [ + 99847013, + 19566370 + ], + [ + 4096835, + 90842183 + ], + [ + 1566822, + 72942392 + ], + [ + 97632881, + 55990233 + ], + [ + 41443456, + 72975647 + ], + [ + 16643668, + 11462713 + ], + [ + 2286102, + 60994284 + ], + [ + 87251477, + 67926464 + ], + [ + 80395863, + 78947465 + ], + [ + 7775072, + 50627569 + ], + [ + 76830844, + 85108672 + ], + [ + 24868906, + 91342563 + ], + [ + 88233471, + 57013574 + ], + [ + 83932584, + 45683544 + ], + [ + 54170542, + 19224697 + ], + [ + 6129197, + 7969386 + ], + [ + 69402320, + 28790726 + ], + [ + 88833412, + 72245827 + ], + [ + 42694921, + 31719495 + ], + [ + 5939406, + 89586678 + ], + [ + 56351427, + 24946256 + ], + [ + 40933369, + 43547593 + ], + [ + 10574048, + 15907312 + ], + [ + 59241241, + 6035344 + ], + [ + 22814299, + 98709775 + ], + [ + 54802735, + 67708364 + ], + [ + 97678907, + 70091555 + ], + [ + 65497161, + 28869686 + ], + [ + 42519361, + 23264437 + ], + [ + 7365970, + 50571519 + ], + [ + 54895850, + 76427808 + ], + [ + 74332053, + 1366384 + ], + [ + 31219071, + 51538785 + ], + [ + 35728104, + 19927829 + ], + [ + 85779456, + 6047499 + ], + [ + 88110015, + 55927244 + ], + [ + 65895400, + 6425210 + ], + [ + 49565328, + 17934625 + ], + [ + 30624616, + 61857911 + ], + [ + 47745379, + 7508913 + ], + [ + 58108995, + 80610168 + ], + [ + 49398587, + 26369635 + ], + [ + 67854977, + 63680128 + ], + [ + 53684132, + 67408405 + ], + [ + 75939549, + 26639334 + ], + [ + 39836298, + 49486895 + ], + [ + 11461136, + 87980273 + ], + [ + 61664889, + 98466109 + ], + [ + 27944037, + 35179374 + ], + [ + 83270677, + 39479188 + ], + [ + 99406043, + 80821105 + ], + [ + 24704950, + 22452246 + ], + [ + 57427889, + 31048074 + ], + [ + 55078297, + 46938369 + ], + [ + 3063491, + 35830592 + ], + [ + 17289250, + 11268898 + ], + [ + 59874674, + 15472056 + ], + [ + 23299374, + 71222249 + ], + [ + 54828459, + 67596046 + ], + [ + 35401808, + 25736507 + ], + [ + 32227323, + 155371 + ], + [ + 70221066, + 76308246 + ], + [ + 64493642, + 3875994 + ], + [ + 57609689, + 2986648 + ], + [ + 9512262, + 58199160 + ], + [ + 99778815, + 435745 + ], + [ + 29007976, + 56031320 + ], + [ + 76039735, + 58140964 + ], + [ + 14668705, + 39797967 + ], + [ + 75181728, + 6584653 + ], + [ + 68517588, + 56857959 + ], + [ + 75966566, + 52661972 + ], + [ + 311607, + 3733220 + ], + [ + 57654752, + 26281764 + ], + [ + 71436811, + 58671877 + ], + [ + 85166461, + 5805796 + ], + [ + 47192833, + 17418059 + ], + [ + 83830392, + 90611285 + ], + [ + 74913143, + 61030484 + ], + [ + 39061220, + 98206290 + ], + [ + 24801682, + 91123731 + ], + [ + 8324724, + 5768691 + ], + [ + 28194659, + 44245051 + ], + [ + 89826671, + 18082016 + ], + [ + 76188324, + 66038440 + ], + [ + 37087814, + 71172843 + ], + [ + 49280201, + 14220359 + ], + [ + 29345449, + 93889517 + ], + [ + 21797092, + 13618962 + ], + [ + 93489471, + 29319426 + ], + [ + 30843538, + 94974638 + ], + [ + 3931642, + 57583725 + ], + [ + 78947044, + 6238541 + ], + [ + 57160148, + 12768298 + ], + [ + 60588881, + 53353692 + ], + [ + 68233996, + 54321627 + ], + [ + 793178, + 7078510 + ], + [ + 94209979, + 59468028 + ], + [ + 1927589, + 23754760 + ], + [ + 75116351, + 67499871 + ], + [ + 67732483, + 35875487 + ], + [ + 93168115, + 15253841 + ], + [ + 85311505, + 52803652 + ], + [ + 95614153, + 2541886 + ], + [ + 10701669, + 38854045 + ], + [ + 40501419, + 56073972 + ], + [ + 62033967, + 27688441 + ], + [ + 88467725, + 60459326 + ], + [ + 82201921, + 69483726 + ], + [ + 50381877, + 19271183 + ], + [ + 72200702, + 37301561 + ], + [ + 32727025, + 79627840 + ], + [ + 86148189, + 86357277 + ], + [ + 3646734, + 35351283 + ], + [ + 42671545, + 11982793 + ], + [ + 29448935, + 96911073 + ], + [ + 35563289, + 77858675 + ], + [ + 65539587, + 51255448 + ], + [ + 98741395, + 29931098 + ], + [ + 42290031, + 42142263 + ], + [ + 24508407, + 85676535 + ], + [ + 53015795, + 89410510 + ], + [ + 55602287, + 39951339 + ], + [ + 71688048, + 17469362 + ], + [ + 91522885, + 1482301 + ], + [ + 13449855, + 16695384 + ], + [ + 87523412, + 94740228 + ], + [ + 99594927, + 44567567 + ], + [ + 7605973, + 85567485 + ], + [ + 91799183, + 17674214 + ], + [ + 33461336, + 52055618 + ], + [ + 81994580, + 49330656 + ], + [ + 50113481, + 28543696 + ], + [ + 71656134, + 95507049 + ], + [ + 31666396, + 15602627 + ], + [ + 40266716, + 55654832 + ], + [ + 709026, + 41556015 + ], + [ + 44906893, + 89446015 + ], + [ + 8188428, + 53592894 + ], + [ + 28993340, + 5561626 + ], + [ + 21779798, + 26493379 + ], + [ + 82638970, + 4373224 + ], + [ + 88886302, + 79294681 + ], + [ + 66902957, + 79403616 + ], + [ + 40363556, + 11078501 + ], + [ + 53135612, + 93964694 + ], + [ + 44559852, + 72577243 + ], + [ + 7934925, + 88374054 + ], + [ + 53838967, + 6260433 + ], + [ + 79789591, + 7652200 + ], + [ + 38448164, + 29723301 + ], + [ + 8256282, + 12641351 + ], + [ + 42387287, + 91815542 + ], + [ + 27713403, + 73185119 + ], + [ + 15029385, + 94940185 + ], + [ + 22825999, + 43230950 + ], + [ + 36516043, + 67142225 + ], + [ + 46970134, + 86426149 + ], + [ + 96280702, + 58128028 + ], + [ + 19242811, + 15090654 + ], + [ + 46049861, + 500010 + ], + [ + 7513745, + 34110092 + ], + [ + 62060638, + 47528666 + ], + [ + 27798179, + 76975766 + ], + [ + 77893998, + 43088586 + ], + [ + 38230203, + 24234191 + ], + [ + 38841261, + 80546704 + ], + [ + 34614376, + 59186016 + ], + [ + 67772060, + 15236133 + ], + [ + 24883028, + 18593003 + ], + [ + 86618883, + 16336076 + ], + [ + 10685833, + 52550022 + ], + [ + 10237008, + 75685270 + ], + [ + 62448051, + 14964044 + ], + [ + 71849766, + 27582562 + ], + [ + 69080552, + 45488525 + ], + [ + 72503548, + 40204690 + ], + [ + 56051849, + 74857189 + ], + [ + 21703583, + 90880105 + ], + [ + 71225319, + 13788261 + ], + [ + 76405066, + 74996948 + ], + [ + 61114809, + 23572583 + ], + [ + 98830356, + 35597215 + ], + [ + 87872570, + 33663044 + ], + [ + 13224206, + 66976150 + ], + [ + 78985664, + 15674194 + ], + [ + 47388930, + 69433934 + ], + [ + 2117822, + 52349940 + ], + [ + 93037750, + 59713754 + ], + [ + 37729073, + 31727954 + ], + [ + 22070170, + 35565310 + ], + [ + 85637521, + 13259938 + ], + [ + 72713668, + 78827062 + ], + [ + 31760616, + 70907617 + ], + [ + 69398954, + 29720964 + ], + [ + 57905581, + 19683228 + ], + [ + 81167339, + 44136112 + ], + [ + 56566221, + 44376373 + ], + [ + 35194009, + 13799658 + ], + [ + 28138255, + 79111368 + ], + [ + 88162292, + 21951397 + ], + [ + 56931673, + 88200193 + ], + [ + 50056649, + 50493166 + ], + [ + 37241574, + 8674061 + ], + [ + 85071598, + 23007867 + ], + [ + 95530267, + 15002267 + ], + [ + 98475324, + 5691197 + ], + [ + 92454662, + 13109917 + ], + [ + 35306060, + 15322107 + ], + [ + 98314867, + 83593645 + ], + [ + 9279531, + 45971486 + ], + [ + 88042964, + 74211406 + ], + [ + 68835448, + 31415237 + ], + [ + 10633669, + 92312840 + ], + [ + 52561192, + 17969577 + ], + [ + 7306090, + 31443462 + ], + [ + 90744212, + 24725317 + ], + [ + 31753878, + 45289277 + ], + [ + 15740323, + 44200257 + ], + [ + 67477081, + 14151861 + ], + [ + 11116279, + 11822354 + ], + [ + 68111508, + 60356442 + ], + [ + 34937035, + 4526685 + ], + [ + 75405140, + 61915445 + ], + [ + 47327877, + 62198679 + ], + [ + 31375120, + 72050324 + ], + [ + 89885861, + 49587179 + ], + [ + 85176125, + 88208960 + ], + [ + 74308947, + 48725479 + ], + [ + 52101758, + 8266239 + ], + [ + 50630739, + 93813479 + ], + [ + 25622715, + 2485589 + ], + [ + 27759012, + 53890002 + ], + [ + 42288822, + 65673020 + ], + [ + 95153366, + 43089510 + ], + [ + 7255516, + 68111305 + ], + [ + 72006259, + 92937301 + ], + [ + 61713359, + 79154085 + ], + [ + 8633990, + 89045801 + ], + [ + 16061689, + 17702320 + ], + [ + 22890137, + 76114360 + ], + [ + 53358353, + 94991902 + ], + [ + 76174620, + 9877557 + ], + [ + 8785226, + 71811042 + ], + [ + 92327118, + 46888218 + ], + [ + 77257593, + 62758494 + ], + [ + 23323661, + 95558482 + ], + [ + 5607733, + 32094433 + ], + [ + 48256411, + 38138271 + ], + [ + 47748277, + 80378450 + ], + [ + 57016119, + 15201479 + ], + [ + 98454995, + 4687219 + ], + [ + 27484045, + 94558378 + ], + [ + 76425990, + 70715546 + ], + [ + 87918350, + 94608037 + ], + [ + 31188905, + 34333330 + ], + [ + 87828752, + 62116170 + ], + [ + 34191228, + 19534742 + ], + [ + 35156192, + 75029508 + ], + [ + 14802659, + 80779453 + ], + [ + 49289464, + 29292461 + ], + [ + 14293837, + 25913567 + ], + [ + 6854288, + 8366987 + ], + [ + 9383195, + 65940305 + ], + [ + 44569226, + 85555654 + ], + [ + 37386886, + 28556920 + ], + [ + 53276479, + 65425788 + ], + [ + 3327869, + 46082739 + ], + [ + 52295383, + 25460205 + ], + [ + 76647729, + 83400709 + ], + [ + 17206262, + 42632222 + ], + [ + 77107933, + 1088863 + ], + [ + 25025978, + 84199354 + ], + [ + 81932456, + 77753596 + ], + [ + 95614165, + 70150665 + ], + [ + 20856764, + 72675386 + ], + [ + 7027722, + 40894828 + ], + [ + 18325214, + 4286430 + ], + [ + 26616372, + 63699195 + ], + [ + 13141958, + 57392722 + ], + [ + 96737093, + 50915430 + ], + [ + 13763346, + 90652654 + ], + [ + 43413309, + 82760851 + ], + [ + 68341040, + 38277194 + ], + [ + 96842427, + 30447605 + ], + [ + 55012019, + 52965638 + ], + [ + 36649784, + 27690994 + ], + [ + 98716460, + 32633650 + ], + [ + 47272645, + 33783422 + ], + [ + 83391516, + 22438101 + ], + [ + 1591341, + 98385512 + ], + [ + 46210442, + 57132742 + ], + [ + 22741437, + 7874167 + ], + [ + 49506596, + 16071797 + ], + [ + 77157123, + 76410439 + ], + [ + 91002966, + 61039019 + ], + [ + 52829357, + 9661072 + ], + [ + 46613520, + 75365023 + ], + [ + 65739934, + 713495 + ], + [ + 48723220, + 5512490 + ], + [ + 70829335, + 2056414 + ], + [ + 54287944, + 30583072 + ], + [ + 73497153, + 44916382 + ], + [ + 19926215, + 96979737 + ], + [ + 46938424, + 5778303 + ], + [ + 84862408, + 60416951 + ], + [ + 55710333, + 66609156 + ], + [ + 81642353, + 65007768 + ], + [ + 95933358, + 95889962 + ], + [ + 50199740, + 94767233 + ], + [ + 88254427, + 44435584 + ], + [ + 47316621, + 66282913 + ], + [ + 65666407, + 1498420 + ], + [ + 62480606, + 31167947 + ], + [ + 29544609, + 51735929 + ], + [ + 85852826, + 12239888 + ], + [ + 88687609, + 79091099 + ], + [ + 38749097, + 50095462 + ], + [ + 40990214, + 53610264 + ], + [ + 59686940, + 9151234 + ], + [ + 50697532, + 13491264 + ], + [ + 30886589, + 39437677 + ], + [ + 48136186, + 90367405 + ], + [ + 86923450, + 81282465 + ], + [ + 49241656, + 46852333 + ], + [ + 39619902, + 75838863 + ], + [ + 25111947, + 84784617 + ], + [ + 49053119, + 22973223 + ], + [ + 12778522, + 42653823 + ], + [ + 32976725, + 39062186 + ], + [ + 7701845, + 69992006 + ], + [ + 24702806, + 31622796 + ], + [ + 39028580, + 49223691 + ], + [ + 50825523, + 69171942 + ], + [ + 51647768, + 26232054 + ], + [ + 93245087, + 28121217 + ], + [ + 41935960, + 48679788 + ], + [ + 53044244, + 66268725 + ], + [ + 8324981, + 15857902 + ], + [ + 32248021, + 73582637 + ], + [ + 52465931, + 67903073 + ], + [ + 90114408, + 32025315 + ], + [ + 27415801, + 46805277 + ], + [ + 92151271, + 71498058 + ], + [ + 98123593, + 7617802 + ], + [ + 11019797, + 61154670 + ], + [ + 14394057, + 53012285 + ], + [ + 49702508, + 52356621 + ], + [ + 58959795, + 58434612 + ], + [ + 49432983, + 39526473 + ], + [ + 72178694, + 82811484 + ], + [ + 99936347, + 28817604 + ], + [ + 61246390, + 54913184 + ], + [ + 27001676, + 77953573 + ], + [ + 98707863, + 78215299 + ], + [ + 27462978, + 20247481 + ], + [ + 3169439, + 78895929 + ], + [ + 50916902, + 48588403 + ], + [ + 61427362, + 42419240 + ], + [ + 50253831, + 23776626 + ], + [ + 8917299, + 46984604 + ], + [ + 29267190, + 38085885 + ], + [ + 865528, + 61415338 + ], + [ + 80964892, + 5364783 + ], + [ + 7256219, + 87211771 + ], + [ + 4811259, + 95569005 + ], + [ + 13529672, + 12397261 + ], + [ + 98627262, + 86335720 + ], + [ + 8203860, + 51359036 + ], + [ + 2299003, + 97267643 + ], + [ + 10942071, + 3172055 + ], + [ + 11720977, + 61709170 + ], + [ + 56156110, + 14734681 + ], + [ + 5909066, + 70531024 + ], + [ + 6753920, + 92647946 + ], + [ + 63965426, + 92928176 + ], + [ + 1883256, + 17294571 + ], + [ + 15527298, + 60194050 + ], + [ + 86595650, + 76112317 + ], + [ + 46194002, + 51328027 + ], + [ + 76796246, + 57287693 + ], + [ + 80428535, + 18730900 + ], + [ + 71740983, + 42493177 + ], + [ + 55152501, + 67582247 + ], + [ + 58474796, + 92967210 + ], + [ + 11816977, + 46071387 + ], + [ + 71317667, + 86594539 + ], + [ + 3624799, + 10675714 + ], + [ + 20944621, + 88029373 + ], + [ + 30365710, + 49701844 + ], + [ + 88380315, + 31934875 + ], + [ + 27461604, + 74472163 + ], + [ + 92707373, + 11059251 + ], + [ + 58354194, + 28737163 + ], + [ + 51534825, + 83732658 + ], + [ + 6857951, + 50378999 + ], + [ + 32975016, + 94538893 + ], + [ + 15911130, + 8070500 + ], + [ + 64611863, + 73846177 + ], + [ + 61680516, + 40456333 + ], + [ + 99837634, + 75180556 + ], + [ + 58383798, + 67242914 + ], + [ + 29690085, + 33239179 + ], + [ + 791300, + 33505972 + ], + [ + 72196879, + 25030060 + ], + [ + 5519041, + 19094196 + ], + [ + 26840776, + 37811270 + ], + [ + 66243299, + 8267001 + ], + [ + 77747323, + 1360745 + ], + [ + 14092792, + 76113337 + ], + [ + 86905604, + 60358493 + ], + [ + 50234387, + 54225906 + ], + [ + 58195914, + 87318657 + ], + [ + 47264762, + 68398675 + ], + [ + 19201117, + 75974661 + ], + [ + 45581891, + 86737992 + ], + [ + 18168987, + 19408921 + ], + [ + 53642269, + 97467474 + ], + [ + 36837308, + 76301026 + ], + [ + 51908500, + 96169990 + ], + [ + 13321840, + 66559972 + ], + [ + 76008209, + 57562587 + ], + [ + 44783881, + 26742492 + ], + [ + 20259739, + 59808598 + ], + [ + 96972915, + 65537920 + ], + [ + 95688402, + 83347082 + ], + [ + 40246890, + 92685695 + ], + [ + 17636477, + 49003618 + ], + [ + 18192752, + 45558542 + ], + [ + 52198283, + 3075007 + ], + [ + 18758436, + 83404180 + ], + [ + 36635060, + 92615326 + ], + [ + 85681755, + 38871490 + ], + [ + 22755385, + 79116831 + ], + [ + 46299206, + 76451413 + ], + [ + 24198006, + 40376040 + ], + [ + 27126708, + 52135832 + ], + [ + 72858463, + 95621639 + ], + [ + 10618406, + 12826329 + ], + [ + 53367959, + 53678782 + ], + [ + 57973486, + 44784294 + ], + [ + 2027101, + 10086800 + ], + [ + 95365220, + 59426216 + ], + [ + 58335343, + 47733823 + ], + [ + 36710358, + 73457173 + ], + [ + 86768114, + 42011702 + ], + [ + 94103414, + 12093383 + ], + [ + 66693521, + 8454347 + ], + [ + 91467280, + 62516572 + ], + [ + 2402659, + 21223181 + ], + [ + 45566784, + 91643681 + ], + [ + 61547083, + 65044761 + ], + [ + 83350459, + 35828092 + ], + [ + 63847156, + 21671486 + ], + [ + 60986385, + 10730598 + ], + [ + 41236411, + 86561411 + ], + [ + 86068320, + 4493207 + ], + [ + 13060575, + 39051634 + ], + [ + 16882285, + 44664449 + ], + [ + 93607795, + 31097434 + ], + [ + 5225761, + 20818616 + ], + [ + 31328239, + 51874837 + ], + [ + 9291602, + 16797764 + ], + [ + 83108662, + 87799997 + ], + [ + 52775931, + 97312943 + ], + [ + 39531510, + 50814319 + ], + [ + 69313835, + 69177660 + ], + [ + 10547111, + 3338376 + ], + [ + 58103529, + 66485726 + ], + [ + 44387317, + 57609391 + ], + [ + 48378099, + 53518905 + ], + [ + 10385452, + 45069702 + ], + [ + 45406469, + 73764174 + ], + [ + 10597714, + 67432637 + ], + [ + 70384199, + 49045264 + ], + [ + 33252691, + 50993846 + ], + [ + 29213511, + 49848410 + ], + [ + 41746101, + 97609785 + ], + [ + 54578455, + 15915280 + ], + [ + 21388822, + 57225882 + ], + [ + 20194491, + 79995685 + ], + [ + 56323931, + 24356674 + ], + [ + 90618199, + 71860063 + ], + [ + 46515440, + 653690 + ], + [ + 74827607, + 27993034 + ], + [ + 97669631, + 17116349 + ], + [ + 62054511, + 45321935 + ], + [ + 37255700, + 85380511 + ], + [ + 49072268, + 31002871 + ], + [ + 30849460, + 64694504 + ], + [ + 22810023, + 36967010 + ], + [ + 63022177, + 94854720 + ], + [ + 33659657, + 56662074 + ], + [ + 39458707, + 71449892 + ], + [ + 8690438, + 69498920 + ], + [ + 71886985, + 50672396 + ], + [ + 11599936, + 86780376 + ], + [ + 90917995, + 49060539 + ], + [ + 99609391, + 3681003 + ], + [ + 930389, + 62753604 + ], + [ + 18927514, + 86073867 + ], + [ + 78868572, + 8768377 + ], + [ + 68439665, + 47739984 + ], + [ + 81720630, + 2734481 + ], + [ + 87380073, + 28109799 + ], + [ + 87874212, + 19909425 + ], + [ + 35106214, + 72336195 + ], + [ + 84258137, + 2183578 + ], + [ + 67677511, + 13357735 + ], + [ + 76294965, + 95275668 + ], + [ + 6772265, + 71983895 + ], + [ + 700562, + 12807652 + ], + [ + 59281291, + 83281767 + ], + [ + 60183347, + 50133354 + ], + [ + 94979132, + 48696273 + ], + [ + 3580375, + 62799249 + ], + [ + 21306002, + 79213136 + ], + [ + 44329451, + 41503989 + ], + [ + 45074605, + 98901817 + ], + [ + 92798586, + 77067199 + ], + [ + 19858078, + 77069787 + ], + [ + 44011583, + 65423315 + ], + [ + 12421160, + 58958919 + ], + [ + 49379533, + 13198567 + ], + [ + 95574295, + 37240186 + ], + [ + 82757977, + 44835879 + ], + [ + 1992171, + 36643737 + ], + [ + 87005619, + 84550027 + ], + [ + 50713674, + 5828412 + ], + [ + 95896935, + 13691583 + ], + [ + 90303399, + 63039986 + ], + [ + 72606219, + 64407329 + ], + [ + 86752000, + 27896864 + ], + [ + 94093159, + 79462748 + ], + [ + 94846626, + 56972354 + ], + [ + 17676987, + 47307907 + ], + [ + 71915303, + 38139531 + ], + [ + 88469683, + 51518981 + ], + [ + 68984954, + 52328501 + ], + [ + 27221848, + 17962171 + ], + [ + 21765544, + 7843928 + ], + [ + 55907295, + 14470466 + ], + [ + 47106701, + 39148256 + ], + [ + 51027239, + 30902764 + ], + [ + 31213090, + 66384667 + ], + [ + 71512752, + 59768375 + ], + [ + 36231310, + 82854593 + ], + [ + 52713778, + 59740210 + ], + [ + 39103249, + 40986727 + ], + [ + 67769016, + 47272990 + ], + [ + 21655640, + 41887871 + ], + [ + 66823458, + 34493061 + ], + [ + 88212028, + 81829271 + ], + [ + 91378593, + 49181338 + ], + [ + 12840489, + 733836 + ], + [ + 44239138, + 21145449 + ], + [ + 44565584, + 36256727 + ], + [ + 23282124, + 76462187 + ], + [ + 96030320, + 70382056 + ], + [ + 77147106, + 25918353 + ], + [ + 33455885, + 47240875 + ], + [ + 72633908, + 58037071 + ], + [ + 97321038, + 92316189 + ], + [ + 69048566, + 71341187 + ], + [ + 1192365, + 49740017 + ], + [ + 92254235, + 9100500 + ], + [ + 31837030, + 99528329 + ], + [ + 22310146, + 31836521 + ], + [ + 50511249, + 77280752 + ], + [ + 68733745, + 20170190 + ], + [ + 61132384, + 63542836 + ], + [ + 10857822, + 48588159 + ], + [ + 83665422, + 45148055 + ], + [ + 64711212, + 7356078 + ], + [ + 9513069, + 9419743 + ], + [ + 37996529, + 17422150 + ], + [ + 82574304, + 78013687 + ], + [ + 58976717, + 33324747 + ], + [ + 12587759, + 90171939 + ], + [ + 60300817, + 34565875 + ], + [ + 41745818, + 14245791 + ], + [ + 19254048, + 64705584 + ], + [ + 93687218, + 74097084 + ], + [ + 77312012, + 46936387 + ], + [ + 75395444, + 78928100 + ], + [ + 65822605, + 49504947 + ], + [ + 48587418, + 39547321 + ], + [ + 54173612, + 93478133 + ], + [ + 55687514, + 12435771 + ], + [ + 45017297, + 67296375 + ], + [ + 65438415, + 27557261 + ], + [ + 63632999, + 61231386 + ], + [ + 20160474, + 53021880 + ], + [ + 59322139, + 67832967 + ], + [ + 91184572, + 30773847 + ], + [ + 66962590, + 42548493 + ], + [ + 20318454, + 49115026 + ], + [ + 95385331, + 22828383 + ], + [ + 97876998, + 13828352 + ], + [ + 5382902, + 72373713 + ], + [ + 41459891, + 18971668 + ], + [ + 33541051, + 29945737 + ], + [ + 43895785, + 10717624 + ], + [ + 11487281, + 8404141 + ], + [ + 10916888, + 41560623 + ], + [ + 99919720, + 65569437 + ], + [ + 2231419, + 54670832 + ], + [ + 5137695, + 56216717 + ], + [ + 15098533, + 11176735 + ], + [ + 13336096, + 44628013 + ], + [ + 16335177, + 86161488 + ], + [ + 99838933, + 50399708 + ], + [ + 65278112, + 63852179 + ], + [ + 9956643, + 88475527 + ], + [ + 56639804, + 13233668 + ], + [ + 41954765, + 72570630 + ], + [ + 94217098, + 91218052 + ], + [ + 34903772, + 35531156 + ], + [ + 86139159, + 10283641 + ], + [ + 59658399, + 51145135 + ], + [ + 51636291, + 66999588 + ], + [ + 89314166, + 46778275 + ], + [ + 30893693, + 43169299 + ], + [ + 23106015, + 98127432 + ], + [ + 78512393, + 93102123 + ], + [ + 54096413, + 28342731 + ], + [ + 87471745, + 88036564 + ], + [ + 20743274, + 50539246 + ], + [ + 93777122, + 5613597 + ], + [ + 66422858, + 58440196 + ], + [ + 42707310, + 69350748 + ], + [ + 91478933, + 93325581 + ], + [ + 39917139, + 8926960 + ], + [ + 77950369, + 68716968 + ], + [ + 29142003, + 95159459 + ], + [ + 84164981, + 40283545 + ], + [ + 703777, + 98583786 + ], + [ + 76722637, + 59801659 + ], + [ + 16652749, + 33478261 + ], + [ + 61976348, + 62497305 + ], + [ + 99099608, + 2086573 + ], + [ + 8811394, + 1570100 + ], + [ + 80828526, + 85368370 + ], + [ + 51293366, + 55170445 + ], + [ + 77545877, + 51636335 + ], + [ + 10434577, + 48945432 + ], + [ + 87126058, + 80200180 + ], + [ + 95449318, + 14929074 + ], + [ + 18975582, + 32761442 + ], + [ + 71873837, + 16104763 + ], + [ + 3074288, + 35618655 + ], + [ + 15542368, + 20631272 + ], + [ + 52667792, + 82693448 + ], + [ + 48454155, + 8428109 + ], + [ + 49182806, + 59801024 + ], + [ + 15406529, + 13086504 + ], + [ + 79467322, + 41082535 + ], + [ + 21458583, + 3008525 + ], + [ + 23774683, + 53883157 + ], + [ + 21535686, + 20210206 + ], + [ + 59016705, + 94913071 + ], + [ + 81178053, + 52605002 + ], + [ + 55241212, + 252523 + ], + [ + 76733030, + 69069367 + ], + [ + 89277652, + 46786008 + ], + [ + 7848210, + 96113674 + ], + [ + 97927955, + 80334406 + ], + [ + 69435400, + 47735622 + ], + [ + 22233513, + 29820488 + ], + [ + 54123814, + 10747313 + ], + [ + 22229274, + 80715833 + ], + [ + 58181126, + 79754410 + ], + [ + 74356709, + 38193060 + ], + [ + 87093413, + 74469093 + ], + [ + 82677060, + 85054561 + ], + [ + 55975015, + 80667766 + ], + [ + 60241433, + 93634007 + ], + [ + 26750765, + 36988534 + ], + [ + 80269656, + 87344299 + ], + [ + 53556415, + 13389715 + ], + [ + 18917508, + 10109558 + ], + [ + 18646847, + 67217663 + ], + [ + 18180784, + 11709327 + ], + [ + 1789562, + 28071067 + ], + [ + 54004539, + 71052224 + ], + [ + 82141342, + 44479049 + ], + [ + 36732746, + 28515912 + ], + [ + 34873354, + 57669183 + ], + [ + 33133142, + 57573069 + ], + [ + 73074391, + 15316368 + ], + [ + 377670, + 40571387 + ], + [ + 30800125, + 5047769 + ], + [ + 62577890, + 83152390 + ], + [ + 37026455, + 90944590 + ], + [ + 34230661, + 64650274 + ], + [ + 82261424, + 35705997 + ], + [ + 97158544, + 47378883 + ], + [ + 12560583, + 522205 + ], + [ + 60015441, + 441418 + ], + [ + 37104042, + 94701273 + ], + [ + 37934026, + 61153995 + ], + [ + 30641605, + 51252336 + ], + [ + 67565945, + 28281127 + ], + [ + 26035346, + 63663531 + ], + [ + 23986746, + 27154761 + ], + [ + 38940554, + 39713811 + ], + [ + 40741554, + 62991615 + ], + [ + 37674011, + 74048670 + ], + [ + 77018064, + 79460503 + ], + [ + 24980741, + 85909190 + ], + [ + 38921661, + 33400623 + ], + [ + 62412400, + 92054440 + ], + [ + 9501227, + 5586088 + ], + [ + 60745716, + 8831786 + ], + [ + 72524185, + 69909678 + ], + [ + 7455958, + 95695732 + ], + [ + 65643783, + 21918762 + ], + [ + 91538341, + 42095373 + ], + [ + 93757611, + 90639430 + ], + [ + 28643325, + 54457748 + ], + [ + 732713, + 82198165 + ], + [ + 75122808, + 51273731 + ], + [ + 82247928, + 96162145 + ], + [ + 1912104, + 71414288 + ], + [ + 37584740, + 88655205 + ], + [ + 1775411, + 61892910 + ], + [ + 11508239, + 91784126 + ], + [ + 93252534, + 66161849 + ], + [ + 61789895, + 97578437 + ], + [ + 84705803, + 76543407 + ], + [ + 26724704, + 25837902 + ], + [ + 98905805, + 45554585 + ], + [ + 73015597, + 97747154 + ], + [ + 90742657, + 87313262 + ], + [ + 35728276, + 72541008 + ], + [ + 56487118, + 90065158 + ], + [ + 710605, + 80177209 + ], + [ + 23380013, + 91843226 + ], + [ + 1997941, + 4438505 + ], + [ + 71818294, + 30594982 + ], + [ + 64938526, + 50989803 + ], + [ + 34187601, + 74614961 + ], + [ + 55729709, + 99982290 + ], + [ + 56166637, + 60189370 + ], + [ + 66445916, + 56877905 + ], + [ + 17666836, + 75804927 + ], + [ + 27741114, + 39254548 + ], + [ + 1287107, + 52110119 + ], + [ + 34745337, + 94488452 + ], + [ + 76490021, + 33109306 + ], + [ + 36239530, + 29892164 + ], + [ + 77877629, + 70747331 + ], + [ + 74902003, + 11849095 + ], + [ + 15199993, + 91555325 + ], + [ + 94450552, + 64131160 + ], + [ + 86940796, + 95503670 + ], + [ + 89631550, + 42760724 + ], + [ + 95951701, + 68377364 + ], + [ + 28418270, + 50232060 + ], + [ + 71511983, + 49126237 + ], + [ + 43659662, + 92211624 + ], + [ + 8225488, + 6050138 + ], + [ + 11419103, + 74952893 + ], + [ + 45439893, + 70106954 + ], + [ + 41945514, + 22973360 + ], + [ + 23221315, + 65057221 + ], + [ + 95276435, + 90733377 + ], + [ + 75752327, + 82082685 + ], + [ + 59110478, + 96175877 + ], + [ + 24835876, + 59245631 + ], + [ + 9812645, + 39549549 + ], + [ + 5625551, + 55037126 + ], + [ + 27647025, + 78935846 + ], + [ + 83942058, + 74804037 + ], + [ + 15341105, + 48502386 + ], + [ + 36411632, + 34515368 + ], + [ + 88262372, + 78968515 + ], + [ + 51638189, + 52298331 + ], + [ + 41275378, + 18776054 + ], + [ + 23706304, + 42889478 + ], + [ + 64874784, + 52425200 + ], + [ + 91608736, + 64132530 + ], + [ + 92103537, + 23274022 + ], + [ + 53093652, + 44085780 + ], + [ + 64666755, + 61799011 + ], + [ + 75785032, + 78134920 + ], + [ + 89571955, + 8627 + ], + [ + 43615828, + 30661736 + ], + [ + 42297647, + 32123652 + ], + [ + 79087366, + 80395466 + ], + [ + 94605470, + 79231885 + ], + [ + 88826242, + 29602898 + ], + [ + 59811405, + 48491790 + ], + [ + 22462727, + 11744297 + ], + [ + 78304178, + 30039023 + ], + [ + 87840437, + 56192978 + ], + [ + 86348140, + 14841145 + ], + [ + 93426078, + 93020718 + ], + [ + 35549313, + 64083745 + ], + [ + 79098447, + 59459409 + ], + [ + 11602523, + 20709682 + ], + [ + 24481037, + 37632103 + ], + [ + 2283242, + 6025259 + ], + [ + 33222109, + 7884376 + ], + [ + 74775611, + 217924 + ], + [ + 71939834, + 22735120 + ], + [ + 36666129, + 72957588 + ], + [ + 30086941, + 31782197 + ], + [ + 83822605, + 79760431 + ], + [ + 88315999, + 5100435 + ], + [ + 38346567, + 81913787 + ], + [ + 63689323, + 81528846 + ], + [ + 54396434, + 81189274 + ], + [ + 75921975, + 8622069 + ], + [ + 69551567, + 53136732 + ], + [ + 19694748, + 1974377 + ], + [ + 84893991, + 74044931 + ], + [ + 47596052, + 48691640 + ], + [ + 11782518, + 58270676 + ], + [ + 60277234, + 30360612 + ], + [ + 91175614, + 64645006 + ], + [ + 71461501, + 61135301 + ], + [ + 12840944, + 45295105 + ], + [ + 77092289, + 8206897 + ], + [ + 54208488, + 89141726 + ], + [ + 75260203, + 2616754 + ], + [ + 48610832, + 643542 + ], + [ + 92233813, + 7264429 + ], + [ + 1135344, + 5937431 + ], + [ + 55492343, + 14555915 + ], + [ + 60102915, + 12143850 + ], + [ + 68071126, + 19773681 + ], + [ + 44843671, + 89509114 + ], + [ + 20699950, + 91046922 + ], + [ + 59280072, + 99941818 + ], + [ + 67684460, + 7561982 + ], + [ + 1758599, + 83762449 + ], + [ + 23595261, + 20547301 + ], + [ + 2822716, + 79837835 + ], + [ + 83227560, + 62280316 + ], + [ + 55436177, + 50607746 + ], + [ + 3784710, + 98269741 + ], + [ + 5041699, + 51075926 + ], + [ + 16752661, + 13696035 + ], + [ + 15900028, + 20083504 + ], + [ + 8995336, + 20274767 + ], + [ + 97986112, + 11792761 + ], + [ + 32871528, + 70532985 + ], + [ + 90581058, + 71313344 + ], + [ + 10102452, + 45013165 + ], + [ + 76494102, + 31338988 + ], + [ + 65685611, + 15077043 + ], + [ + 91167046, + 6275835 + ], + [ + 38777406, + 23055104 + ], + [ + 28970203, + 21048729 + ], + [ + 33808605, + 66984255 + ], + [ + 4037929, + 64116276 + ], + [ + 48314528, + 71006850 + ], + [ + 4283981, + 77939813 + ], + [ + 77412529, + 70354084 + ], + [ + 28240694, + 60324761 + ], + [ + 71124117, + 91032925 + ], + [ + 3945517, + 56211617 + ], + [ + 30309608, + 6016406 + ], + [ + 61382187, + 75195275 + ], + [ + 10409360, + 64718606 + ], + [ + 22393938, + 9640972 + ], + [ + 80364901, + 17302290 + ], + [ + 62292918, + 63387706 + ], + [ + 16454469, + 43779055 + ], + [ + 97632737, + 54494080 + ], + [ + 22545603, + 2868317 + ], + [ + 14629268, + 31173728 + ], + [ + 86437492, + 14149074 + ], + [ + 49158503, + 89227297 + ], + [ + 85010577, + 25556293 + ], + [ + 48571007, + 18710779 + ], + [ + 50865586, + 50714083 + ], + [ + 16844603, + 78922237 + ], + [ + 40353228, + 15266521 + ], + [ + 62292644, + 98222609 + ], + [ + 47952292, + 13758517 + ], + [ + 70542947, + 30796145 + ], + [ + 36368328, + 31539455 + ], + [ + 3492969, + 41734477 + ], + [ + 73924775, + 10047941 + ], + [ + 83915470, + 6553659 + ], + [ + 101415, + 31062524 + ], + [ + 56238305, + 61506258 + ], + [ + 56274194, + 62102954 + ], + [ + 29253781, + 27492377 + ], + [ + 70551787, + 30810659 + ], + [ + 61123491, + 2587608 + ], + [ + 81526095, + 58173568 + ], + [ + 81529157, + 83187521 + ], + [ + 60299441, + 89557684 + ], + [ + 53134565, + 15574698 + ], + [ + 55041467, + 66873771 + ], + [ + 24289889, + 49258225 + ], + [ + 50356485, + 55407558 + ], + [ + 24679619, + 47403120 + ], + [ + 58745431, + 46592855 + ], + [ + 44753688, + 25487010 + ], + [ + 35165536, + 82706956 + ], + [ + 48523293, + 64064969 + ], + [ + 45704687, + 2497447 + ], + [ + 75073164, + 16202581 + ], + [ + 22284931, + 92046956 + ], + [ + 33613576, + 82509413 + ], + [ + 43215084, + 12051179 + ], + [ + 24180035, + 24901165 + ], + [ + 52916766, + 41136456 + ], + [ + 18914912, + 31594149 + ], + [ + 92233282, + 75441928 + ], + [ + 97952956, + 69686013 + ], + [ + 11889752, + 37916757 + ], + [ + 83780870, + 43350529 + ], + [ + 48289725, + 23633460 + ], + [ + 91639711, + 41092702 + ], + [ + 57742996, + 97639072 + ], + [ + 78255084, + 276457 + ], + [ + 32725974, + 11073515 + ], + [ + 69815653, + 55694947 + ], + [ + 95722895, + 75940268 + ], + [ + 51419806, + 86471138 + ], + [ + 65553164, + 13953070 + ], + [ + 72761439, + 73780852 + ], + [ + 55069096, + 55142613 + ], + [ + 38160785, + 75844328 + ], + [ + 92309646, + 95759137 + ], + [ + 63433731, + 57638824 + ], + [ + 90609156, + 51550467 + ], + [ + 12826013, + 6782658 + ], + [ + 61259247, + 54985539 + ], + [ + 92748256, + 75266920 + ], + [ + 82166401, + 25372177 + ], + [ + 83055304, + 18622696 + ], + [ + 37041395, + 59682738 + ], + [ + 46839546, + 33882817 + ], + [ + 92287613, + 12265785 + ], + [ + 34303801, + 41940326 + ], + [ + 31711080, + 75804343 + ], + [ + 79305833, + 98045270 + ], + [ + 15221742, + 60178324 + ], + [ + 56819331, + 51203226 + ], + [ + 80820413, + 83600793 + ], + [ + 21561097, + 88906280 + ], + [ + 28574616, + 74956999 + ], + [ + 10369070, + 15421533 + ], + [ + 8822044, + 95718675 + ], + [ + 55292912, + 11502404 + ], + [ + 30396296, + 57031595 + ], + [ + 75524387, + 77902465 + ], + [ + 84487875, + 46960053 + ], + [ + 29333916, + 31006979 + ], + [ + 66068657, + 56887206 + ], + [ + 77203816, + 33819783 + ], + [ + 53155477, + 67237014 + ], + [ + 24522777, + 61294992 + ], + [ + 1502599, + 8250524 + ], + [ + 46147128, + 51779975 + ], + [ + 55897044, + 84565367 + ], + [ + 46826842, + 99448065 + ], + [ + 42527847, + 7098933 + ], + [ + 55231407, + 61165865 + ], + [ + 13315975, + 4035304 + ], + [ + 49405430, + 66070901 + ], + [ + 11276662, + 23156838 + ], + [ + 20171743, + 50908473 + ], + [ + 319469, + 82352107 + ], + [ + 70726693, + 65336895 + ], + [ + 42796959, + 49260658 + ], + [ + 91156604, + 37904757 + ], + [ + 28573139, + 759717 + ], + [ + 70360728, + 80522940 + ], + [ + 20537772, + 88909258 + ], + [ + 69216619, + 46983179 + ], + [ + 92874466, + 28635209 + ], + [ + 68938441, + 78223890 + ], + [ + 89107321, + 5662346 + ], + [ + 7635966, + 98967943 + ], + [ + 90380382, + 98021909 + ], + [ + 92148299, + 96294178 + ], + [ + 86880190, + 20113210 + ], + [ + 80416977, + 83946522 + ], + [ + 8721103, + 37838777 + ], + [ + 27445156, + 270446 + ], + [ + 88811925, + 57713758 + ], + [ + 45551499, + 76595018 + ], + [ + 79729180, + 86740990 + ], + [ + 88345592, + 16259459 + ], + [ + 73285708, + 74218975 + ], + [ + 18077472, + 68033213 + ], + [ + 96236433, + 89854206 + ], + [ + 47547814, + 91605441 + ], + [ + 41402112, + 91161655 + ], + [ + 7804760, + 10033817 + ], + [ + 35870602, + 65858855 + ], + [ + 80974954, + 35033981 + ], + [ + 9119004, + 1332196 + ], + [ + 51656878, + 44119703 + ], + [ + 65743248, + 81423453 + ], + [ + 20384672, + 13149249 + ], + [ + 65008943, + 16624757 + ], + [ + 51159947, + 95763001 + ], + [ + 32867503, + 10800345 + ], + [ + 20691044, + 83241873 + ], + [ + 59053205, + 93273787 + ], + [ + 29264874, + 36857844 + ], + [ + 47488233, + 80405167 + ], + [ + 84622719, + 32002348 + ], + [ + 97134257, + 94859373 + ], + [ + 44434520, + 61904011 + ], + [ + 1623302, + 97434311 + ], + [ + 80637783, + 44833861 + ], + [ + 30575101, + 7774387 + ], + [ + 14639475, + 43864583 + ], + [ + 27836729, + 63931831 + ], + [ + 22781420, + 47427922 + ], + [ + 79798540, + 45078347 + ], + [ + 80237793, + 6516163 + ], + [ + 32408451, + 23497408 + ], + [ + 28505095, + 76178131 + ], + [ + 48229884, + 22962065 + ], + [ + 1469570, + 35931046 + ], + [ + 75747475, + 31965167 + ], + [ + 83616204, + 99557285 + ], + [ + 1432741, + 80701201 + ], + [ + 82259857, + 12596243 + ], + [ + 18350685, + 92775864 + ], + [ + 63616202, + 76111230 + ], + [ + 8459900, + 86333219 + ], + [ + 60360449, + 58915918 + ], + [ + 22015022, + 97940174 + ], + [ + 23891836, + 48656853 + ], + [ + 94490383, + 34557939 + ], + [ + 36109488, + 37787246 + ], + [ + 84474976, + 81779412 + ], + [ + 63632519, + 77473052 + ], + [ + 64867135, + 39557050 + ], + [ + 95114881, + 36862776 + ], + [ + 14745637, + 63246017 + ], + [ + 52400, + 79875847 + ], + [ + 23363837, + 46093499 + ], + [ + 70766012, + 12694383 + ], + [ + 79963109, + 77931512 + ], + [ + 90312782, + 33525678 + ], + [ + 74890094, + 60108645 + ], + [ + 92360810, + 34379772 + ], + [ + 45876902, + 25768685 + ], + [ + 84193566, + 16597821 + ], + [ + 15555073, + 53335481 + ], + [ + 70444089, + 99908510 + ], + [ + 29660415, + 47276176 + ], + [ + 66931828, + 96461588 + ], + [ + 78118164, + 70009259 + ], + [ + 14607338, + 1520693 + ], + [ + 83462290, + 92890402 + ], + [ + 27965239, + 94007492 + ], + [ + 68644789, + 84767044 + ], + [ + 88965256, + 85211319 + ], + [ + 14720102, + 14488487 + ], + [ + 80865486, + 24171812 + ], + [ + 5538535, + 79876181 + ], + [ + 67305019, + 52983236 + ], + [ + 51497603, + 43698694 + ], + [ + 87934987, + 73396128 + ], + [ + 84173986, + 12956257 + ], + [ + 81046483, + 63698669 + ], + [ + 76740957, + 35133745 + ], + [ + 91619453, + 97830835 + ], + [ + 61592489, + 87428464 + ], + [ + 23980131, + 58124038 + ], + [ + 29291409, + 98523927 + ], + [ + 48837389, + 32625304 + ], + [ + 72936579, + 82122305 + ], + [ + 12803709, + 10494206 + ], + [ + 27155928, + 66441076 + ], + [ + 80026487, + 55878019 + ], + [ + 68607454, + 44210364 + ], + [ + 48187277, + 89037164 + ], + [ + 71298669, + 99647830 + ], + [ + 91387159, + 75593102 + ], + [ + 70893876, + 43461276 + ], + [ + 10353333, + 9163656 + ], + [ + 49873070, + 6946776 + ], + [ + 96003999, + 15108422 + ], + [ + 16309999, + 16522836 + ], + [ + 1051669, + 66147792 + ], + [ + 37922064, + 74246133 + ], + [ + 55404545, + 76703279 + ], + [ + 62870812, + 7412670 + ], + [ + 22504846, + 43535349 + ], + [ + 55995527, + 54413185 + ], + [ + 32146420, + 21924175 + ], + [ + 7142216, + 71855282 + ], + [ + 96598967, + 21257739 + ], + [ + 45008215, + 1092839 + ], + [ + 78537720, + 50260267 + ], + [ + 88709017, + 96397469 + ], + [ + 5714473, + 46012659 + ], + [ + 96539513, + 20000605 + ], + [ + 18603477, + 31029541 + ], + [ + 49352582, + 49410348 + ], + [ + 48903215, + 30334270 + ], + [ + 31102644, + 69473117 + ], + [ + 20530488, + 65304882 + ], + [ + 38020211, + 97162587 + ], + [ + 81217240, + 23731422 + ], + [ + 37680352, + 53826159 + ], + [ + 28443657, + 32210671 + ], + [ + 54446726, + 54491724 + ], + [ + 11684376, + 57406362 + ], + [ + 74602645, + 27902075 + ], + [ + 25765479, + 5863963 + ], + [ + 37073629, + 58960903 + ], + [ + 54766236, + 78162924 + ], + [ + 39089803, + 66656996 + ], + [ + 92585566, + 50869681 + ], + [ + 94808971, + 69802167 + ], + [ + 56776341, + 60389395 + ], + [ + 29598120, + 36486277 + ], + [ + 17091154, + 42278656 + ], + [ + 66165195, + 15338277 + ], + [ + 13476657, + 82519180 + ], + [ + 99796051, + 40808223 + ], + [ + 25223339, + 87946398 + ], + [ + 94361938, + 62140810 + ], + [ + 66095884, + 15084928 + ], + [ + 75466888, + 68073672 + ], + [ + 69531311, + 83694452 + ], + [ + 13219793, + 18313609 + ], + [ + 80861529, + 31376 + ], + [ + 20018575, + 42838395 + ], + [ + 66228898, + 53653266 + ], + [ + 70111190, + 56310910 + ], + [ + 87828512, + 89925881 + ], + [ + 75647194, + 89671746 + ], + [ + 63637657, + 53892768 + ], + [ + 74328261, + 26827719 + ], + [ + 70841410, + 28396930 + ], + [ + 41801301, + 61090057 + ], + [ + 17600242, + 29352418 + ], + [ + 25093454, + 43543074 + ], + [ + 11115991, + 81348651 + ], + [ + 27878486, + 18746353 + ], + [ + 77202252, + 70186389 + ], + [ + 91899270, + 79358681 + ], + [ + 945855, + 63955869 + ], + [ + 71354553, + 50683916 + ], + [ + 39996567, + 16139880 + ], + [ + 51796390, + 43617715 + ], + [ + 17318972, + 70110785 + ], + [ + 2554174, + 26480568 + ], + [ + 67071571, + 82296333 + ], + [ + 56618134, + 58724313 + ], + [ + 67359644, + 46348036 + ], + [ + 98284311, + 53303599 + ], + [ + 47750609, + 86632418 + ], + [ + 15839295, + 30213943 + ], + [ + 3810712, + 36162402 + ], + [ + 20360916, + 13905315 + ], + [ + 62696515, + 57919740 + ], + [ + 96591043, + 11866891 + ], + [ + 28981534, + 35932054 + ], + [ + 95913893, + 99685498 + ], + [ + 38899140, + 5685575 + ], + [ + 34266918, + 98603633 + ], + [ + 62463716, + 50287298 + ], + [ + 49784320, + 5208677 + ], + [ + 13413747, + 53855596 + ], + [ + 10801770, + 9029193 + ], + [ + 29296348, + 92133394 + ], + [ + 84727969, + 98031704 + ], + [ + 24473036, + 22939373 + ], + [ + 58579899, + 51840345 + ], + [ + 81600063, + 8808244 + ], + [ + 84236053, + 23788601 + ], + [ + 46616478, + 45321260 + ], + [ + 12518224, + 38936528 + ], + [ + 85351416, + 85046192 + ], + [ + 77949839, + 16383551 + ], + [ + 3723152, + 31606182 + ], + [ + 60258599, + 36813281 + ], + [ + 92655831, + 87100543 + ], + [ + 28712109, + 72772032 + ], + [ + 99540069, + 80464757 + ], + [ + 57824264, + 1304180 + ], + [ + 85014573, + 1470626 + ], + [ + 68301211, + 93724246 + ], + [ + 88834894, + 73791611 + ], + [ + 19152552, + 3347832 + ], + [ + 77565042, + 86034282 + ], + [ + 46641890, + 31879457 + ], + [ + 93665252, + 49885803 + ], + [ + 6581998, + 50382313 + ], + [ + 8437239, + 15526724 + ], + [ + 97780986, + 75852633 + ], + [ + 70891968, + 59671406 + ], + [ + 2584843, + 56080993 + ], + [ + 47089475, + 33973996 + ], + [ + 66897741, + 84438202 + ], + [ + 8202549, + 50162263 + ], + [ + 1756687, + 17144044 + ], + [ + 17931950, + 28954089 + ], + [ + 91057763, + 69272909 + ], + [ + 26630918, + 44911693 + ], + [ + 45460442, + 15960701 + ], + [ + 5993291, + 19313413 + ], + [ + 14659168, + 29868735 + ], + [ + 48416783, + 69639124 + ], + [ + 93801430, + 48390367 + ], + [ + 80282554, + 4532516 + ], + [ + 27342551, + 67184714 + ], + [ + 31491840, + 50242263 + ], + [ + 22545032, + 78355441 + ], + [ + 72852165, + 72615721 + ], + [ + 44957565, + 72652103 + ], + [ + 46756327, + 69586530 + ], + [ + 87842224, + 24637857 + ], + [ + 34954100, + 3201955 + ], + [ + 65647184, + 72002902 + ], + [ + 8139978, + 85903838 + ], + [ + 58441884, + 59067280 + ], + [ + 92738292, + 28837424 + ], + [ + 56261353, + 98733763 + ], + [ + 84577315, + 10430392 + ], + [ + 22569238, + 98915136 + ], + [ + 85879809, + 86226471 + ], + [ + 52407463, + 42323130 + ], + [ + 97984228, + 51782096 + ], + [ + 60756229, + 73107961 + ], + [ + 97160457, + 40543063 + ], + [ + 37027165, + 45762040 + ], + [ + 77069290, + 37947747 + ], + [ + 38583244, + 56336106 + ], + [ + 21235776, + 50219044 + ], + [ + 90926403, + 29480599 + ], + [ + 13320591, + 7182363 + ], + [ + 72171010, + 72861968 + ], + [ + 54703348, + 64023055 + ], + [ + 84488784, + 46349997 + ], + [ + 37064608, + 68319319 + ], + [ + 3234927, + 59294356 + ], + [ + 36216275, + 94151884 + ], + [ + 8897249, + 83801143 + ], + [ + 80469605, + 32693200 + ], + [ + 74615692, + 71299763 + ], + [ + 52056859, + 33134864 + ], + [ + 72745624, + 75497882 + ], + [ + 78652836, + 87334382 + ], + [ + 34338419, + 77944743 + ], + [ + 10736714, + 3236940 + ], + [ + 14276255, + 55256011 + ], + [ + 43822148, + 21367340 + ], + [ + 67934096, + 12217146 + ], + [ + 59335032, + 7282246 + ], + [ + 20880181, + 36419228 + ], + [ + 28843148, + 53075579 + ], + [ + 97549570, + 54720129 + ], + [ + 90475234, + 89018066 + ], + [ + 21723902, + 51196534 + ], + [ + 86306430, + 9048243 + ], + [ + 285686, + 65106509 + ], + [ + 40908612, + 94339684 + ], + [ + 3762234, + 22391621 + ], + [ + 2983383, + 49961428 + ], + [ + 46010617, + 68149431 + ], + [ + 88776303, + 67382930 + ], + [ + 45685479, + 6849738 + ], + [ + 24994166, + 61799272 + ], + [ + 61990824, + 23509568 + ], + [ + 12572204, + 53434346 + ], + [ + 67797648, + 3878346 + ], + [ + 60225498, + 52391157 + ], + [ + 13357445, + 79057527 + ], + [ + 43494122, + 82913777 + ], + [ + 41936767, + 97437624 + ], + [ + 79836730, + 67105332 + ], + [ + 76420694, + 45880647 + ], + [ + 91039796, + 32989024 + ], + [ + 30701168, + 63469200 + ], + [ + 74799389, + 19190384 + ], + [ + 84026128, + 92420157 + ], + [ + 73051491, + 54327256 + ], + [ + 11830282, + 49915790 + ], + [ + 34656006, + 74061405 + ], + [ + 62729935, + 35026723 + ], + [ + 31459492, + 66611411 + ], + [ + 29972484, + 74631711 + ], + [ + 10300801, + 42110722 + ], + [ + 48840796, + 40787658 + ], + [ + 58161063, + 52865552 + ], + [ + 94542897, + 20934487 + ], + [ + 85142398, + 2489968 + ], + [ + 5243373, + 40698681 + ], + [ + 2640589, + 3526887 + ], + [ + 98496950, + 52736023 + ], + [ + 30076843, + 95015174 + ], + [ + 41418321, + 43293551 + ], + [ + 58987114, + 2412390 + ], + [ + 12700673, + 78262489 + ], + [ + 4235625, + 94689139 + ], + [ + 32290777, + 19378067 + ], + [ + 69062072, + 17210606 + ], + [ + 15226568, + 75861648 + ], + [ + 86997344, + 29687750 + ], + [ + 2488458, + 27573275 + ], + [ + 59197898, + 11897400 + ], + [ + 61199765, + 2814329 + ], + [ + 28229287, + 98214966 + ], + [ + 87390645, + 24336609 + ], + [ + 25949365, + 69132621 + ], + [ + 88448492, + 19656798 + ], + [ + 42575860, + 50184920 + ], + [ + 48108941, + 51481573 + ], + [ + 11268776, + 31277423 + ], + [ + 15168096, + 96150804 + ], + [ + 35725723, + 54096087 + ], + [ + 96322757, + 80729796 + ], + [ + 12728572, + 74783892 + ], + [ + 89097569, + 1667027 + ], + [ + 16315827, + 5569975 + ], + [ + 43562092, + 31519008 + ], + [ + 60657203, + 10793142 + ], + [ + 20479107, + 92415566 + ], + [ + 27094598, + 64260294 + ], + [ + 33435244, + 11056941 + ], + [ + 1827295, + 71306199 + ], + [ + 76817029, + 20805701 + ], + [ + 98292964, + 5686021 + ], + [ + 12817782, + 90653529 + ], + [ + 49925324, + 74989056 + ], + [ + 97924050, + 81633224 + ], + [ + 42617934, + 97061494 + ], + [ + 19218730, + 61899424 + ], + [ + 17058183, + 35713326 + ], + [ + 84122746, + 5967976 + ], + [ + 6824897, + 64880494 + ], + [ + 40546851, + 82043828 + ], + [ + 11332002, + 41186989 + ], + [ + 34853349, + 34376251 + ], + [ + 90021036, + 98923640 + ], + [ + 69952658, + 84323362 + ], + [ + 86575575, + 99178338 + ], + [ + 58155218, + 35309993 + ], + [ + 85525082, + 93535517 + ], + [ + 35386589, + 82213159 + ], + [ + 70841175, + 32246992 + ], + [ + 2378157, + 30485997 + ], + [ + 59128254, + 75690278 + ], + [ + 76201803, + 93765686 + ], + [ + 31637448, + 79963260 + ], + [ + 4813784, + 90806149 + ], + [ + 15644627, + 44298220 + ], + [ + 73512689, + 5029712 + ], + [ + 12835106, + 77570917 + ], + [ + 37467581, + 44838925 + ], + [ + 96741105, + 41206033 + ], + [ + 93577558, + 96610035 + ], + [ + 32088333, + 56545020 + ], + [ + 87500541, + 11091711 + ], + [ + 52867939, + 50654832 + ], + [ + 14021494, + 72237081 + ], + [ + 82148220, + 22780920 + ], + [ + 87771083, + 43766314 + ], + [ + 40392878, + 86721166 + ], + [ + 46626282, + 99267540 + ], + [ + 19803966, + 13873191 + ], + [ + 33337169, + 18992725 + ], + [ + 79076990, + 73762004 + ], + [ + 33161426, + 69085631 + ], + [ + 64078705, + 57790083 + ], + [ + 44928481, + 57751807 + ], + [ + 83502837, + 3401224 + ], + [ + 9048196, + 841426 + ], + [ + 43686858, + 23596447 + ], + [ + 72142031, + 92046450 + ], + [ + 73988550, + 84240054 + ], + [ + 76090209, + 84021106 + ], + [ + 22459099, + 42122056 + ], + [ + 75866984, + 63598260 + ], + [ + 34413709, + 5271600 + ], + [ + 27065778, + 99100043 + ], + [ + 58665922, + 92185583 + ], + [ + 7237917, + 21776723 + ], + [ + 90883730, + 23026017 + ], + [ + 98290199, + 51414657 + ], + [ + 51341196, + 17509356 + ], + [ + 79751866, + 92187993 + ], + [ + 84349297, + 91011933 + ], + [ + 46974860, + 29281424 + ], + [ + 58237642, + 5524708 + ], + [ + 7302085, + 16543904 + ], + [ + 52676282, + 71595205 + ], + [ + 93975527, + 44211292 + ], + [ + 75040329, + 78725662 + ], + [ + 76193032, + 2258298 + ], + [ + 76896940, + 5125466 + ], + [ + 96621137, + 40192784 + ], + [ + 5596189, + 87221317 + ], + [ + 73201540, + 57741991 + ], + [ + 60721031, + 64982340 + ], + [ + 93347086, + 93336397 + ], + [ + 56270731, + 79668032 + ], + [ + 23828326, + 46176572 + ], + [ + 90533365, + 33612035 + ], + [ + 64311722, + 25791798 + ], + [ + 12242780, + 52514441 + ], + [ + 32512150, + 68156555 + ], + [ + 78219312, + 63209331 + ], + [ + 94813035, + 75034578 + ], + [ + 39949208, + 47654578 + ], + [ + 10934407, + 22400376 + ], + [ + 74156430, + 96593323 + ], + [ + 60406034, + 29132184 + ], + [ + 2648999, + 84826213 + ], + [ + 96029944, + 74263048 + ], + [ + 15581746, + 85418382 + ], + [ + 2856758, + 57316065 + ], + [ + 50594113, + 3757653 + ], + [ + 46416679, + 26458351 + ], + [ + 12465593, + 24439177 + ], + [ + 18521182, + 63614763 + ], + [ + 26041443, + 21982263 + ], + [ + 6373298, + 77728751 + ], + [ + 41918676, + 75522977 + ], + [ + 56589772, + 68443301 + ], + [ + 43169592, + 99854004 + ], + [ + 55860873, + 45465102 + ], + [ + 57662652, + 4805649 + ], + [ + 52078977, + 98736748 + ], + [ + 71816267, + 1106435 + ], + [ + 44782378, + 28844291 + ], + [ + 57476421, + 79889682 + ], + [ + 76171019, + 46256377 + ], + [ + 67939740, + 97982247 + ], + [ + 15029696, + 43224830 + ], + [ + 12506010, + 62045999 + ], + [ + 6371517, + 77908507 + ], + [ + 26833855, + 9253275 + ], + [ + 80449130, + 5200611 + ], + [ + 71682491, + 80566696 + ], + [ + 16479845, + 69811208 + ], + [ + 50978663, + 12516717 + ], + [ + 39096017, + 97896855 + ], + [ + 72204066, + 64303925 + ], + [ + 77456514, + 21498136 + ], + [ + 19731148, + 55594814 + ], + [ + 77833283, + 44989008 + ], + [ + 10889156, + 65518372 + ], + [ + 57646826, + 72624801 + ], + [ + 98132803, + 76850932 + ], + [ + 86051763, + 37728299 + ], + [ + 22324539, + 75531189 + ], + [ + 25454784, + 41974172 + ], + [ + 75931026, + 38806694 + ], + [ + 93560682, + 30951052 + ], + [ + 24907583, + 58887454 + ], + [ + 43246487, + 20572312 + ], + [ + 82835885, + 4851792 + ], + [ + 29235153, + 71710445 + ], + [ + 34228112, + 41643993 + ], + [ + 43954099, + 73775223 + ], + [ + 17536483, + 22569322 + ], + [ + 5743282, + 54892659 + ], + [ + 74827389, + 41201009 + ], + [ + 39747107, + 4916407 + ], + [ + 79589441, + 16073268 + ], + [ + 53251780, + 12002924 + ], + [ + 65438990, + 23678394 + ], + [ + 57065983, + 26081839 + ], + [ + 1111008, + 1012447 + ], + [ + 57801886, + 57223452 + ], + [ + 26531099, + 19627500 + ], + [ + 20303633, + 23145606 + ], + [ + 8748623, + 43739541 + ], + [ + 38700132, + 65682231 + ], + [ + 96085809, + 79406145 + ], + [ + 70751828, + 69955866 + ], + [ + 1412603, + 46083252 + ], + [ + 92501216, + 14253327 + ], + [ + 70323279, + 68151661 + ], + [ + 6173004, + 89522223 + ], + [ + 50934692, + 54627075 + ], + [ + 75562193, + 10414883 + ], + [ + 23749904, + 81893774 + ], + [ + 16299821, + 43453341 + ], + [ + 62893770, + 56603050 + ], + [ + 62108594, + 24075893 + ], + [ + 14386034, + 75685326 + ], + [ + 32349927, + 65083622 + ], + [ + 61989139, + 55344873 + ], + [ + 66498262, + 77450975 + ], + [ + 24360717, + 92836964 + ], + [ + 65981375, + 79837382 + ], + [ + 39311307, + 64326480 + ], + [ + 78960240, + 18854966 + ], + [ + 94413199, + 51773178 + ], + [ + 74915754, + 35066539 + ], + [ + 86362381, + 63570896 + ], + [ + 61401585, + 49973343 + ], + [ + 30700028, + 68825743 + ], + [ + 86359442, + 76148821 + ], + [ + 40348095, + 44621408 + ], + [ + 92213444, + 82781239 + ], + [ + 5871612, + 34803526 + ], + [ + 4006843, + 65853917 + ], + [ + 38752311, + 60192241 + ], + [ + 48274770, + 65493919 + ], + [ + 47076731, + 47964508 + ], + [ + 69211407, + 93595309 + ], + [ + 62923472, + 72217036 + ], + [ + 62053700, + 74286558 + ], + [ + 75672377, + 30195230 + ], + [ + 34058849, + 83810229 + ], + [ + 54258818, + 3681100 + ], + [ + 34465662, + 13457955 + ], + [ + 60367684, + 50348011 + ], + [ + 29066049, + 24863923 + ], + [ + 39364998, + 57233290 + ], + [ + 43532787, + 64648034 + ], + [ + 54097563, + 89070035 + ], + [ + 60326928, + 20793791 + ], + [ + 86693304, + 39109821 + ], + [ + 23009920, + 35722786 + ], + [ + 60707888, + 65505768 + ], + [ + 37149662, + 91246827 + ], + [ + 17978146, + 10735016 + ], + [ + 68406519, + 97806573 + ], + [ + 45942526, + 51363 + ], + [ + 73142261, + 10412845 + ], + [ + 18723267, + 6655428 + ], + [ + 33820837, + 68798710 + ], + [ + 30509665, + 65096039 + ], + [ + 29726467, + 3294172 + ], + [ + 27897895, + 10107869 + ], + [ + 67754971, + 12946214 + ], + [ + 29414314, + 99849477 + ], + [ + 57372599, + 42325085 + ], + [ + 54487144, + 55368134 + ], + [ + 77566858, + 43861017 + ], + [ + 50964048, + 91347433 + ], + [ + 77438159, + 52758398 + ], + [ + 20010455, + 17396531 + ], + [ + 20307796, + 4151569 + ], + [ + 86524079, + 46284680 + ], + [ + 89548213, + 15416558 + ], + [ + 40961099, + 79137142 + ], + [ + 98520632, + 12271987 + ], + [ + 75694432, + 29926682 + ], + [ + 60121301, + 51747696 + ], + [ + 70013061, + 97421275 + ], + [ + 45995424, + 15827834 + ], + [ + 42779454, + 2848097 + ], + [ + 70586086, + 12738018 + ], + [ + 77573444, + 26356818 + ], + [ + 45940755, + 21287410 + ], + [ + 33487803, + 22655262 + ], + [ + 96670218, + 82800924 + ], + [ + 49386876, + 65571992 + ], + [ + 79303171, + 97208642 + ], + [ + 75764860, + 74443161 + ], + [ + 99634431, + 73656835 + ], + [ + 93700320, + 14928256 + ], + [ + 55486626, + 80274219 + ], + [ + 2673676, + 29100759 + ], + [ + 87447912, + 63761488 + ], + [ + 70377575, + 49111418 + ], + [ + 92443087, + 33308682 + ], + [ + 59143090, + 85604627 + ], + [ + 30202643, + 5472000 + ], + [ + 90772858, + 93689125 + ], + [ + 40210206, + 78126476 + ], + [ + 9255387, + 17816179 + ], + [ + 73668111, + 50912571 + ], + [ + 70625152, + 36397225 + ], + [ + 87733404, + 89341107 + ], + [ + 54895789, + 2586924 + ], + [ + 15983982, + 45258145 + ], + [ + 98799838, + 56365209 + ], + [ + 6222514, + 30245502 + ], + [ + 14730929, + 13411559 + ], + [ + 77746363, + 56069136 + ], + [ + 77224347, + 85268927 + ], + [ + 89001984, + 74113738 + ], + [ + 66664292, + 6862428 + ], + [ + 11083259, + 51531914 + ], + [ + 41670320, + 71352597 + ], + [ + 68768041, + 44003863 + ], + [ + 57978873, + 10505041 + ], + [ + 83644254, + 30310730 + ], + [ + 53752817, + 77601225 + ], + [ + 96401628, + 55583380 + ], + [ + 22351852, + 1994050 + ], + [ + 40703033, + 92133639 + ], + [ + 19129077, + 76694305 + ], + [ + 46744028, + 29501730 + ], + [ + 11023516, + 62931257 + ], + [ + 25004528, + 35232497 + ], + [ + 60074899, + 31243012 + ], + [ + 19990377, + 85934958 + ], + [ + 46316133, + 61044598 + ], + [ + 24905195, + 93948862 + ], + [ + 6112551, + 50133269 + ], + [ + 56730982, + 7050466 + ], + [ + 54883475, + 96076671 + ], + [ + 48125919, + 42962451 + ], + [ + 39129828, + 44748133 + ], + [ + 7161499, + 20409836 + ], + [ + 25828691, + 88607834 + ], + [ + 59112558, + 19613909 + ], + [ + 5245657, + 62181767 + ], + [ + 35146296, + 92032317 + ], + [ + 60437211, + 35582846 + ], + [ + 3479889, + 88684934 + ], + [ + 98814942, + 29007039 + ], + [ + 46376334, + 855949 + ], + [ + 28560963, + 30442429 + ], + [ + 43383858, + 13024052 + ], + [ + 71154250, + 93480670 + ], + [ + 71599763, + 93135862 + ], + [ + 20155745, + 15834611 + ], + [ + 76196084, + 28216136 + ], + [ + 17947810, + 607275 + ], + [ + 35159658, + 50579593 + ], + [ + 26224904, + 83629484 + ], + [ + 19256180, + 13333557 + ], + [ + 27945126, + 22910460 + ], + [ + 63800160, + 62675157 + ], + [ + 6558384, + 67511422 + ], + [ + 49847077, + 13629205 + ], + [ + 72486706, + 5617605 + ], + [ + 97699093, + 48779595 + ], + [ + 79273642, + 73252769 + ], + [ + 43468193, + 37641807 + ], + [ + 3349660, + 30905803 + ], + [ + 99691551, + 47484507 + ], + [ + 9861684, + 34082294 + ], + [ + 66877625, + 26135984 + ], + [ + 33225435, + 593007 + ], + [ + 46993511, + 84505339 + ], + [ + 22592967, + 43403038 + ], + [ + 29618201, + 98427257 + ], + [ + 71772517, + 40422437 + ], + [ + 54294885, + 78206694 + ], + [ + 85527124, + 76158666 + ], + [ + 57079365, + 59198156 + ], + [ + 9585346, + 97122202 + ], + [ + 64887664, + 26133171 + ], + [ + 87974880, + 19797491 + ], + [ + 26051719, + 7602524 + ], + [ + 10354286, + 64064486 + ], + [ + 47812164, + 5162495 + ], + [ + 88688832, + 31452540 + ], + [ + 95395568, + 81209617 + ], + [ + 58154466, + 94823749 + ], + [ + 93816524, + 4151115 + ], + [ + 10931414, + 43415319 + ], + [ + 90194580, + 7727918 + ], + [ + 63892131, + 96252185 + ], + [ + 51547845, + 56646442 + ], + [ + 13188452, + 19257124 + ], + [ + 56230907, + 1898497 + ], + [ + 91308563, + 62076219 + ], + [ + 95512270, + 33384344 + ], + [ + 83264169, + 5624101 + ], + [ + 12096361, + 9243042 + ], + [ + 41273543, + 69904478 + ], + [ + 46161125, + 85376555 + ], + [ + 56067161, + 18992204 + ], + [ + 95385850, + 72879003 + ], + [ + 91182944, + 11404702 + ], + [ + 63310356, + 23345453 + ], + [ + 38546989, + 69946646 + ], + [ + 63025807, + 59073973 + ], + [ + 49496904, + 25435210 + ], + [ + 22193793, + 2550994 + ], + [ + 60360043, + 71660103 + ], + [ + 87675084, + 91424645 + ], + [ + 17943050, + 10322303 + ], + [ + 32648827, + 40645804 + ], + [ + 20866652, + 7003836 + ], + [ + 55163799, + 12248416 + ], + [ + 34292912, + 69877860 + ], + [ + 65100616, + 54481445 + ], + [ + 47249895, + 8220919 + ], + [ + 82322445, + 404010 + ], + [ + 6000525, + 99224929 + ], + [ + 59452976, + 99138867 + ], + [ + 35761726, + 26054368 + ], + [ + 89344170, + 24121623 + ], + [ + 6154935, + 68399137 + ], + [ + 18622305, + 71444939 + ], + [ + 71404871, + 15432157 + ], + [ + 65554582, + 39497326 + ], + [ + 28629336, + 19301765 + ], + [ + 89750402, + 59512102 + ], + [ + 13925489, + 67089190 + ], + [ + 6235969, + 27097522 + ], + [ + 32316723, + 51578945 + ], + [ + 60833116, + 19535244 + ], + [ + 9820563, + 80130598 + ], + [ + 4861406, + 27175673 + ], + [ + 77732417, + 51264709 + ], + [ + 72247921, + 11171872 + ], + [ + 90654519, + 4899493 + ], + [ + 64621861, + 94023193 + ], + [ + 33580982, + 78478586 + ], + [ + 24238201, + 48683642 + ], + [ + 94123162, + 21257511 + ], + [ + 54732645, + 53392466 + ], + [ + 59045006, + 71945550 + ], + [ + 1790670, + 59050093 + ], + [ + 70821350, + 30913783 + ], + [ + 34878996, + 11941323 + ], + [ + 63429888, + 82173275 + ], + [ + 25017065, + 94915088 + ], + [ + 21127810, + 93517176 + ], + [ + 43803298, + 4146072 + ], + [ + 11604350, + 97705189 + ], + [ + 92043711, + 64940401 + ], + [ + 79335791, + 57210879 + ], + [ + 63131972, + 89306879 + ], + [ + 62179225, + 66621687 + ], + [ + 80193992, + 35400927 + ], + [ + 3258801, + 35534372 + ], + [ + 59326766, + 95312571 + ], + [ + 26738192, + 48921207 + ], + [ + 53523599, + 7097871 + ], + [ + 2417139, + 39971871 + ], + [ + 541578, + 99532861 + ], + [ + 94369469, + 11320127 + ], + [ + 60382929, + 18979102 + ], + [ + 22571190, + 73655417 + ], + [ + 72556661, + 785909 + ], + [ + 13560121, + 67350871 + ], + [ + 2999899, + 94281603 + ], + [ + 16613406, + 89126602 + ], + [ + 40539468, + 99175769 + ], + [ + 52384022, + 46566771 + ], + [ + 19424058, + 62209977 + ], + [ + 78266501, + 23387662 + ], + [ + 58930990, + 68400260 + ], + [ + 53142678, + 10098357 + ], + [ + 8974719, + 95504859 + ], + [ + 11989306, + 12366409 + ], + [ + 40895684, + 40660843 + ], + [ + 60494505, + 32546761 + ], + [ + 96883153, + 35626159 + ], + [ + 94484230, + 69590373 + ], + [ + 5944987, + 18425481 + ], + [ + 36322547, + 37577723 + ], + [ + 50296165, + 71117732 + ], + [ + 18975933, + 13183447 + ], + [ + 91417151, + 39794585 + ], + [ + 22289501, + 48279076 + ], + [ + 4226393, + 72300290 + ], + [ + 6192632, + 42354142 + ], + [ + 47376508, + 55360952 + ], + [ + 83167544, + 72800129 + ], + [ + 83518113, + 36381735 + ], + [ + 13039931, + 72018074 + ], + [ + 11595944, + 7842547 + ], + [ + 85180465, + 49500937 + ], + [ + 25443245, + 60701382 + ], + [ + 7269671, + 87700045 + ], + [ + 19642941, + 97867564 + ], + [ + 95951096, + 44450939 + ], + [ + 93493982, + 46491810 + ], + [ + 46963614, + 34184142 + ], + [ + 43078607, + 29786167 + ], + [ + 33744822, + 62353306 + ], + [ + 77246573, + 1141166 + ], + [ + 39122347, + 32897058 + ], + [ + 93966664, + 90834068 + ], + [ + 8870648, + 472804 + ], + [ + 48713158, + 25187715 + ], + [ + 28853113, + 35296508 + ], + [ + 17824804, + 25316309 + ], + [ + 34323019, + 77261745 + ], + [ + 13995932, + 47981783 + ], + [ + 70067267, + 9381648 + ], + [ + 27476848, + 68709941 + ], + [ + 27902182, + 61630083 + ], + [ + 50810643, + 28885051 + ], + [ + 75827660, + 47360553 + ], + [ + 78104445, + 69098777 + ], + [ + 48809327, + 42052350 + ], + [ + 8978568, + 9323136 + ], + [ + 57994485, + 13200451 + ], + [ + 54040519, + 26411865 + ], + [ + 49048605, + 51612651 + ], + [ + 62354595, + 30560744 + ], + [ + 459495, + 73430431 + ], + [ + 52359941, + 81453216 + ], + [ + 13519494, + 27939861 + ], + [ + 49921265, + 30347163 + ], + [ + 1211623, + 29308942 + ], + [ + 34535590, + 82985755 + ], + [ + 8414293, + 82299275 + ], + [ + 70614961, + 6819883 + ], + [ + 60269142, + 71777507 + ], + [ + 83492800, + 95406144 + ], + [ + 76483228, + 96726441 + ], + [ + 99143180, + 32164234 + ], + [ + 15645057, + 14394377 + ], + [ + 95504164, + 46641933 + ], + [ + 802801, + 71336451 + ], + [ + 6911702, + 25283771 + ], + [ + 10527985, + 3200806 + ], + [ + 49948444, + 64742812 + ], + [ + 45847417, + 44067764 + ], + [ + 27596518, + 85035911 + ], + [ + 32820886, + 96759607 + ], + [ + 58059939, + 84093792 + ], + [ + 34706331, + 79856205 + ], + [ + 84155710, + 21295633 + ], + [ + 77347583, + 23010821 + ], + [ + 94999759, + 59275224 + ], + [ + 14049661, + 85298291 + ], + [ + 28431603, + 42934907 + ], + [ + 64171067, + 58340249 + ], + [ + 13808502, + 87525742 + ], + [ + 86998390, + 31464064 + ], + [ + 81452906, + 36034548 + ], + [ + 42567033, + 49730780 + ], + [ + 90199206, + 73175793 + ], + [ + 8297968, + 76282837 + ], + [ + 7679624, + 84778506 + ], + [ + 81485815, + 46654477 + ], + [ + 23691133, + 33830653 + ], + [ + 74853656, + 80548280 + ], + [ + 64807006, + 46391463 + ], + [ + 32958734, + 73661474 + ], + [ + 65454541, + 1141093 + ], + [ + 55111832, + 80674339 + ], + [ + 48018937, + 73458874 + ], + [ + 36909199, + 44518997 + ], + [ + 22543219, + 51350058 + ], + [ + 4516186, + 60959713 + ], + [ + 91884904, + 62279645 + ], + [ + 98094913, + 15638888 + ], + [ + 71364613, + 54202822 + ], + [ + 2797151, + 96667798 + ], + [ + 57899261, + 91527997 + ], + [ + 76061591, + 70247266 + ], + [ + 65794097, + 94308081 + ], + [ + 73798368, + 79088660 + ], + [ + 29484397, + 87939269 + ], + [ + 1565726, + 68962764 + ], + [ + 29606165, + 64991069 + ], + [ + 11709589, + 93410996 + ], + [ + 14960613, + 42049142 + ], + [ + 70984736, + 95478561 + ], + [ + 64069621, + 57289000 + ], + [ + 91026011, + 14021560 + ], + [ + 59581702, + 61876363 + ], + [ + 21171428, + 74147629 + ], + [ + 56272559, + 94053791 + ], + [ + 84433159, + 12878420 + ], + [ + 68055895, + 47260465 + ], + [ + 47066059, + 46148638 + ], + [ + 52516723, + 74711195 + ], + [ + 90458761, + 90640333 + ], + [ + 62490898, + 60898909 + ], + [ + 34834549, + 54947833 + ], + [ + 26204366, + 24490908 + ], + [ + 48682354, + 24762434 + ], + [ + 49892545, + 52827640 + ], + [ + 45603155, + 93244870 + ], + [ + 64977720, + 59694709 + ], + [ + 15748167, + 29673015 + ], + [ + 36810916, + 83478835 + ], + [ + 85786178, + 85287590 + ], + [ + 93828054, + 24234611 + ], + [ + 53343739, + 32049270 + ], + [ + 73213324, + 65727284 + ], + [ + 88635855, + 46002561 + ], + [ + 71447254, + 15928427 + ], + [ + 83663202, + 46563598 + ], + [ + 80020175, + 43446001 + ], + [ + 99341326, + 23733231 + ], + [ + 43069425, + 86057270 + ], + [ + 67013291, + 23081316 + ], + [ + 98554736, + 15427858 + ], + [ + 65267045, + 46745466 + ], + [ + 79095710, + 46743802 + ], + [ + 85770600, + 61433974 + ], + [ + 88268817, + 59085908 + ], + [ + 50405397, + 20272626 + ], + [ + 54262510, + 28220813 + ], + [ + 49358836, + 34686670 + ], + [ + 1389491, + 89334605 + ], + [ + 84451663, + 9392418 + ], + [ + 38885654, + 33445195 + ], + [ + 40066511, + 42333991 + ], + [ + 97650080, + 39212926 + ], + [ + 52249236, + 37250664 + ], + [ + 26527393, + 30435231 + ], + [ + 82961514, + 49490812 + ], + [ + 77878989, + 97350588 + ], + [ + 43559362, + 96280159 + ], + [ + 28046335, + 33345812 + ], + [ + 89918601, + 43945245 + ], + [ + 56552163, + 74320847 + ], + [ + 10505628, + 90145826 + ], + [ + 39742198, + 17167863 + ], + [ + 86954392, + 1055584 + ], + [ + 40003045, + 15277432 + ], + [ + 11198058, + 96161061 + ], + [ + 58178627, + 94396428 + ], + [ + 96811781, + 16851836 + ], + [ + 97358398, + 20188013 + ], + [ + 92232877, + 64591702 + ], + [ + 17272237, + 61762481 + ], + [ + 7597371, + 14734456 + ], + [ + 83229731, + 68138091 + ], + [ + 81508351, + 68905746 + ], + [ + 13287438, + 87973056 + ], + [ + 13532616, + 86773850 + ], + [ + 25426048, + 70093263 + ], + [ + 86541087, + 1697335 + ], + [ + 31176407, + 37687269 + ], + [ + 34585694, + 95593741 + ], + [ + 83502912, + 89503536 + ], + [ + 54265011, + 58054270 + ], + [ + 38195447, + 96678437 + ], + [ + 18637068, + 54888368 + ], + [ + 10619560, + 84956009 + ], + [ + 11696011, + 1297893 + ], + [ + 71675862, + 35298138 + ], + [ + 96806209, + 59961989 + ], + [ + 85666631, + 13906207 + ], + [ + 80266827, + 21964373 + ], + [ + 91634677, + 45639435 + ], + [ + 27595522, + 67676756 + ], + [ + 23519274, + 41844075 + ], + [ + 2504886, + 1083565 + ], + [ + 37709415, + 6738211 + ], + [ + 12480730, + 68920493 + ], + [ + 57304328, + 12439118 + ], + [ + 76997485, + 68619449 + ], + [ + 20506085, + 30694688 + ], + [ + 26797228, + 6978903 + ], + [ + 82378277, + 61517293 + ], + [ + 55992621, + 60257290 + ], + [ + 53177750, + 68153971 + ], + [ + 54463309, + 53249015 + ], + [ + 48631691, + 52948984 + ], + [ + 75413957, + 53096856 + ], + [ + 76107728, + 35704984 + ], + [ + 75804900, + 53254394 + ], + [ + 28024754, + 50575312 + ], + [ + 68522626, + 94657476 + ], + [ + 67138612, + 24160207 + ], + [ + 29628942, + 79402343 + ], + [ + 51016268, + 24293843 + ], + [ + 90864518, + 56633705 + ], + [ + 59322249, + 69058150 + ], + [ + 21421277, + 27663150 + ], + [ + 5407218, + 13880575 + ], + [ + 59326636, + 31138616 + ], + [ + 2036815, + 94059957 + ], + [ + 39359432, + 93159472 + ], + [ + 13644040, + 39653055 + ], + [ + 58249431, + 11710395 + ], + [ + 47920105, + 84809677 + ], + [ + 28181617, + 74413425 + ], + [ + 96664055, + 85533419 + ], + [ + 21399726, + 77883331 + ], + [ + 9486006, + 53281837 + ], + [ + 58140980, + 70848911 + ], + [ + 50600199, + 41550689 + ], + [ + 48871377, + 47523482 + ], + [ + 11136023, + 40850389 + ], + [ + 98723005, + 57468012 + ], + [ + 83722653, + 91010963 + ], + [ + 27951646, + 29892410 + ], + [ + 96733517, + 64207619 + ], + [ + 80831849, + 85701755 + ], + [ + 71490462, + 68228665 + ], + [ + 78912769, + 75265978 + ], + [ + 57091954, + 76661447 + ], + [ + 74082499, + 7930581 + ], + [ + 76053801, + 13596251 + ], + [ + 72504536, + 26606212 + ], + [ + 13063654, + 55602103 + ], + [ + 86082908, + 75554434 + ], + [ + 19478425, + 21591363 + ], + [ + 92154225, + 47274719 + ], + [ + 13870671, + 4617487 + ], + [ + 31330377, + 51505685 + ], + [ + 79856594, + 23492899 + ], + [ + 7812144, + 28334600 + ], + [ + 92241247, + 97738917 + ], + [ + 3776017, + 93498291 + ], + [ + 58741237, + 18964656 + ], + [ + 20969045, + 73253412 + ], + [ + 2217999, + 32120106 + ], + [ + 45104018, + 94899682 + ], + [ + 87917263, + 1141649 + ], + [ + 16824381, + 20728267 + ], + [ + 70172461, + 43001681 + ], + [ + 14531023, + 20298076 + ], + [ + 8623410, + 81748876 + ], + [ + 75308885, + 29249625 + ], + [ + 38757923, + 23020524 + ], + [ + 45070986, + 73114980 + ], + [ + 67554659, + 44181192 + ], + [ + 7666545, + 23487928 + ], + [ + 29152635, + 82526479 + ], + [ + 96669176, + 63052639 + ], + [ + 2674974, + 27953573 + ], + [ + 38095123, + 94018832 + ], + [ + 88071136, + 66880404 + ], + [ + 61147964, + 51657453 + ], + [ + 83358014, + 27130585 + ], + [ + 73596432, + 42969580 + ], + [ + 77986830, + 36206910 + ], + [ + 61376724, + 57730549 + ], + [ + 2543618, + 5126373 + ], + [ + 59554300, + 67757890 + ], + [ + 42755986, + 47762689 + ], + [ + 11825016, + 43571863 + ], + [ + 37219610, + 49160619 + ], + [ + 24908398, + 85980854 + ], + [ + 39208111, + 9584864 + ], + [ + 43328904, + 33628960 + ], + [ + 17904402, + 54929277 + ], + [ + 55864601, + 57532700 + ], + [ + 38292236, + 55502621 + ], + [ + 29297388, + 37609399 + ], + [ + 56195871, + 6394297 + ], + [ + 85732131, + 46287873 + ], + [ + 41541743, + 9931458 + ], + [ + 7232408, + 57077474 + ], + [ + 91508260, + 10705489 + ], + [ + 58626404, + 55513725 + ], + [ + 82962590, + 95129708 + ], + [ + 15425560, + 70646008 + ], + [ + 28042913, + 21726860 + ], + [ + 31622267, + 13116724 + ], + [ + 11513162, + 36536130 + ], + [ + 43789228, + 25865930 + ], + [ + 95574348, + 64943416 + ], + [ + 86588656, + 63182820 + ], + [ + 67587244, + 54062099 + ], + [ + 94233765, + 39532082 + ], + [ + 80227032, + 77881110 + ], + [ + 2372851, + 92477461 + ], + [ + 88205586, + 84499407 + ], + [ + 40864434, + 3742365 + ], + [ + 88686454, + 90312783 + ], + [ + 67969276, + 95456761 + ], + [ + 98305, + 22061491 + ], + [ + 73203186, + 12463141 + ], + [ + 43743687, + 69184681 + ], + [ + 15032032, + 90212512 + ], + [ + 3820036, + 90603315 + ], + [ + 53580448, + 62766788 + ], + [ + 69435832, + 69102834 + ], + [ + 64441445, + 51321503 + ], + [ + 96374697, + 61076021 + ], + [ + 85636054, + 11104533 + ], + [ + 72557570, + 13692944 + ], + [ + 95109412, + 35614747 + ], + [ + 23115171, + 659119 + ], + [ + 44204713, + 16947697 + ], + [ + 63696836, + 17702790 + ], + [ + 45878931, + 88013978 + ], + [ + 94833996, + 66306775 + ], + [ + 60989217, + 32555466 + ], + [ + 1605253, + 99736706 + ], + [ + 42484924, + 64485054 + ], + [ + 83682251, + 1537407 + ], + [ + 22203997, + 76785110 + ], + [ + 44342852, + 9993645 + ], + [ + 48891809, + 96589191 + ], + [ + 57842594, + 78639525 + ], + [ + 61165986, + 77027890 + ], + [ + 32215021, + 95662228 + ], + [ + 84716606, + 35785554 + ], + [ + 64026377, + 43485685 + ], + [ + 70721474, + 73143667 + ], + [ + 29729667, + 95129167 + ], + [ + 41424833, + 15040552 + ], + [ + 90914799, + 53640066 + ], + [ + 97931039, + 83265053 + ], + [ + 65189787, + 32257680 + ], + [ + 74046496, + 90116610 + ], + [ + 93998845, + 29986673 + ], + [ + 38246636, + 93251287 + ], + [ + 80008852, + 24568963 + ], + [ + 68023467, + 93295908 + ], + [ + 83251465, + 21727136 + ], + [ + 99609407, + 6475253 + ], + [ + 49000039, + 99681015 + ], + [ + 96527999, + 91584252 + ], + [ + 98333390, + 71951514 + ], + [ + 98321480, + 94193876 + ], + [ + 34455866, + 71078308 + ], + [ + 68874848, + 87032765 + ], + [ + 76123380, + 52290323 + ], + [ + 44494134, + 92073964 + ], + [ + 20892940, + 23283194 + ], + [ + 96705886, + 44740107 + ], + [ + 88757972, + 69809270 + ], + [ + 90905881, + 32749855 + ], + [ + 69550798, + 37856303 + ], + [ + 54299303, + 11146174 + ], + [ + 76926967, + 43396750 + ], + [ + 10606684, + 43495903 + ], + [ + 6144786, + 90193737 + ], + [ + 24868917, + 11952683 + ], + [ + 83952266, + 97894844 + ], + [ + 99813552, + 26673184 + ], + [ + 76466764, + 9718159 + ], + [ + 64476424, + 49221531 + ], + [ + 85583782, + 50414313 + ], + [ + 57805540, + 67830108 + ], + [ + 23332742, + 83686178 + ], + [ + 23887639, + 21028435 + ], + [ + 99522410, + 97619685 + ], + [ + 98313302, + 57923574 + ], + [ + 5366011, + 3475757 + ], + [ + 86273302, + 94862216 + ], + [ + 45379788, + 86192271 + ], + [ + 35961736, + 22781005 + ], + [ + 29061850, + 50114397 + ], + [ + 16845683, + 38706293 + ], + [ + 39753188, + 92553680 + ], + [ + 97177341, + 69713808 + ], + [ + 40615283, + 79824542 + ], + [ + 28798866, + 61017307 + ], + [ + 22638310, + 80183867 + ], + [ + 50487802, + 27829719 + ], + [ + 99407782, + 88035519 + ], + [ + 79090049, + 62432752 + ], + [ + 15357786, + 96822315 + ], + [ + 16200647, + 60173928 + ], + [ + 40618512, + 32189921 + ], + [ + 39064951, + 27742091 + ], + [ + 72027612, + 90598307 + ], + [ + 56816454, + 87531556 + ], + [ + 48227469, + 82111001 + ], + [ + 4227214, + 63041566 + ], + [ + 22207203, + 30632011 + ], + [ + 26022484, + 12989196 + ], + [ + 37296733, + 36175124 + ], + [ + 39586134, + 86992139 + ], + [ + 26891713, + 77010793 + ], + [ + 45383720, + 44872983 + ], + [ + 44569373, + 26522383 + ], + [ + 1537061, + 46031754 + ], + [ + 42690177, + 29822079 + ], + [ + 3237870, + 28784948 + ], + [ + 96581950, + 53877880 + ], + [ + 56242375, + 73716184 + ], + [ + 98763440, + 75552185 + ], + [ + 20179541, + 11716414 + ], + [ + 5657490, + 82392705 + ], + [ + 26921846, + 93380199 + ], + [ + 74341714, + 44138561 + ], + [ + 61922120, + 55483253 + ], + [ + 90637283, + 20292709 + ], + [ + 81634924, + 82389060 + ], + [ + 58593312, + 92011882 + ], + [ + 85085654, + 36632334 + ], + [ + 76142027, + 28601579 + ], + [ + 9708400, + 36911144 + ], + [ + 10874483, + 77371905 + ], + [ + 54750451, + 44208217 + ], + [ + 16864724, + 40242631 + ], + [ + 23088298, + 87477518 + ], + [ + 13083927, + 29899542 + ], + [ + 2984350, + 75840158 + ], + [ + 95184401, + 70555855 + ], + [ + 57182417, + 79099261 + ], + [ + 51840149, + 74496007 + ], + [ + 44306929, + 30577326 + ], + [ + 70746312, + 62705006 + ], + [ + 23498994, + 72006127 + ], + [ + 14384663, + 5547043 + ], + [ + 2698246, + 13608681 + ], + [ + 38549827, + 93980816 + ], + [ + 79004974, + 57730465 + ], + [ + 88494007, + 33396694 + ], + [ + 64074920, + 49357345 + ], + [ + 96098503, + 44425482 + ], + [ + 75985182, + 72711184 + ], + [ + 26342902, + 51634930 + ], + [ + 34783987, + 36082376 + ], + [ + 99879023, + 69549425 + ], + [ + 93733694, + 45669152 + ], + [ + 96152966, + 20522483 + ], + [ + 94738365, + 33172168 + ], + [ + 5320083, + 47224659 + ], + [ + 82648067, + 9823227 + ], + [ + 62686215, + 91727504 + ], + [ + 73236541, + 63331138 + ], + [ + 43845452, + 93639338 + ], + [ + 86275759, + 20805856 + ], + [ + 48462115, + 32021221 + ], + [ + 1641784, + 4431814 + ], + [ + 90672445, + 74703290 + ], + [ + 86241931, + 11297859 + ], + [ + 53368351, + 12295355 + ], + [ + 82473253, + 13882901 + ], + [ + 60019227, + 60801756 + ], + [ + 20184317, + 46057300 + ], + [ + 42209544, + 46307752 + ], + [ + 37209831, + 35261362 + ], + [ + 70970063, + 33075189 + ], + [ + 41960366, + 80576942 + ], + [ + 79591665, + 55758946 + ], + [ + 26056886, + 21780966 + ], + [ + 38248134, + 47486048 + ], + [ + 91883369, + 24797905 + ], + [ + 8899054, + 85381314 + ], + [ + 62672651, + 65007689 + ], + [ + 25240344, + 21400934 + ], + [ + 76732837, + 78746680 + ], + [ + 56700738, + 22759704 + ], + [ + 83099174, + 87733811 + ], + [ + 31809107, + 29286057 + ], + [ + 23010045, + 86593542 + ], + [ + 95935761, + 13487903 + ], + [ + 45212423, + 30391891 + ], + [ + 55619648, + 61557863 + ], + [ + 92609579, + 74392163 + ], + [ + 42208728, + 97590834 + ], + [ + 80930752, + 30531567 + ], + [ + 48605667, + 94733299 + ], + [ + 75338030, + 93082347 + ], + [ + 93888603, + 62725233 + ], + [ + 31024739, + 51495480 + ], + [ + 54194244, + 88239802 + ], + [ + 64633284, + 26964701 + ], + [ + 8821109, + 58122497 + ], + [ + 52458734, + 35548673 + ], + [ + 72864615, + 45919217 + ], + [ + 15023817, + 36651779 + ], + [ + 4316269, + 60635827 + ], + [ + 72364098, + 20762156 + ], + [ + 76309942, + 39792821 + ], + [ + 43768265, + 57249718 + ], + [ + 15402679, + 22042720 + ], + [ + 46210559, + 66189288 + ], + [ + 71726407, + 14809953 + ], + [ + 89288190, + 88262185 + ], + [ + 86926585, + 87682206 + ], + [ + 31494632, + 82084166 + ], + [ + 41500084, + 69341570 + ], + [ + 7726589, + 73119622 + ], + [ + 39105279, + 9751890 + ], + [ + 8210342, + 15114700 + ], + [ + 32115571, + 51786012 + ], + [ + 9455500, + 45824178 + ], + [ + 14580524, + 48057219 + ], + [ + 7307882, + 50542720 + ], + [ + 99537614, + 15516357 + ], + [ + 64337278, + 19064257 + ], + [ + 63338210, + 35610448 + ], + [ + 65592426, + 18036622 + ], + [ + 48812810, + 59050803 + ], + [ + 36818217, + 70865819 + ], + [ + 57902800, + 88094263 + ], + [ + 53780843, + 42708674 + ], + [ + 18989497, + 87455477 + ], + [ + 40950143, + 43675689 + ], + [ + 5050102, + 77186509 + ], + [ + 19068845, + 83629065 + ], + [ + 49532923, + 64915850 + ], + [ + 4910796, + 54080994 + ], + [ + 75783436, + 93083883 + ], + [ + 66013707, + 91019107 + ], + [ + 78005738, + 18160712 + ], + [ + 81047627, + 93390438 + ], + [ + 69595067, + 62629896 + ], + [ + 52697044, + 15424877 + ], + [ + 74656702, + 64869289 + ], + [ + 42749993, + 54666953 + ], + [ + 65632917, + 27016435 + ], + [ + 17152306, + 61925696 + ], + [ + 72982422, + 91643403 + ], + [ + 76976275, + 15199755 + ], + [ + 25656350, + 28330594 + ], + [ + 54798031, + 64820600 + ], + [ + 37309249, + 34028575 + ], + [ + 65921523, + 90192319 + ], + [ + 34600573, + 55246988 + ], + [ + 9209675, + 71994622 + ], + [ + 37815743, + 20045831 + ], + [ + 78275278, + 8261151 + ], + [ + 42496688, + 80081209 + ], + [ + 5039101, + 15613123 + ], + [ + 42187618, + 47682726 + ], + [ + 13784131, + 96438921 + ], + [ + 38213236, + 951995 + ], + [ + 74951736, + 35809282 + ], + [ + 31852807, + 49123034 + ], + [ + 37764348, + 93184027 + ], + [ + 80263179, + 68846559 + ], + [ + 39424776, + 1793678 + ], + [ + 30059112, + 17737120 + ], + [ + 22047689, + 38555959 + ], + [ + 63498783, + 325982 + ], + [ + 60866338, + 7374125 + ], + [ + 2186319, + 38436391 + ], + [ + 27564817, + 89683400 + ], + [ + 17461221, + 98647582 + ], + [ + 4538486, + 57707487 + ], + [ + 26648434, + 34410762 + ], + [ + 26407742, + 25761237 + ], + [ + 42418941, + 14375900 + ], + [ + 89986177, + 83665666 + ], + [ + 1726174, + 56938090 + ], + [ + 82207328, + 2657418 + ], + [ + 14392673, + 93297330 + ], + [ + 63600606, + 58263504 + ], + [ + 238428, + 93645527 + ], + [ + 56483328, + 82006990 + ], + [ + 67989942, + 15649814 + ], + [ + 4880036, + 82860759 + ], + [ + 84548378, + 83778951 + ], + [ + 97971556, + 90805452 + ], + [ + 27839287, + 90087477 + ], + [ + 37027518, + 87476638 + ], + [ + 86763987, + 33681603 + ], + [ + 67888865, + 73016672 + ], + [ + 69868355, + 79961916 + ], + [ + 45169226, + 83045020 + ], + [ + 93055941, + 74694330 + ], + [ + 54704853, + 95185832 + ], + [ + 42442237, + 99082057 + ], + [ + 69676951, + 62276426 + ], + [ + 53596568, + 56978460 + ], + [ + 6229225, + 53175409 + ], + [ + 48109027, + 61010301 + ], + [ + 84435433, + 78055486 + ], + [ + 68081188, + 37784604 + ], + [ + 57525337, + 24531331 + ], + [ + 27393793, + 54645445 + ], + [ + 69984398, + 79567240 + ], + [ + 45400014, + 37254650 + ], + [ + 29402616, + 72182155 + ], + [ + 68294882, + 2382624 + ], + [ + 20225620, + 6283097 + ], + [ + 51300531, + 79650808 + ], + [ + 97622440, + 11664219 + ], + [ + 30634499, + 81625542 + ], + [ + 60271403, + 98525035 + ], + [ + 66761528, + 90295489 + ], + [ + 55636309, + 83950763 + ], + [ + 83267528, + 96922211 + ], + [ + 83847571, + 49924639 + ], + [ + 36270693, + 28857299 + ], + [ + 97707959, + 93455063 + ], + [ + 13824430, + 46701661 + ], + [ + 73204714, + 55680555 + ], + [ + 84221362, + 84646461 + ], + [ + 8483479, + 19992342 + ], + [ + 74847029, + 93902835 + ], + [ + 51931974, + 39478919 + ], + [ + 97231184, + 98011900 + ], + [ + 91120785, + 44954432 + ], + [ + 12405636, + 34052249 + ], + [ + 76919856, + 45816369 + ], + [ + 25570182, + 40298979 + ], + [ + 48889222, + 1408246 + ], + [ + 58753268, + 42247101 + ], + [ + 95277350, + 90456374 + ], + [ + 48183152, + 38442267 + ], + [ + 47965228, + 51828219 + ], + [ + 13200070, + 96525133 + ], + [ + 52689197, + 15063971 + ], + [ + 98846286, + 71173347 + ], + [ + 71358065, + 78004819 + ], + [ + 19270148, + 92665948 + ], + [ + 17825819, + 84056144 + ], + [ + 95284723, + 59261273 + ], + [ + 75145599, + 16787271 + ], + [ + 72087509, + 38059549 + ], + [ + 32667736, + 36452968 + ], + [ + 41004294, + 56096177 + ], + [ + 24064503, + 29870490 + ], + [ + 13196005, + 35319237 + ], + [ + 3213414, + 72589990 + ], + [ + 42708246, + 26692312 + ], + [ + 56085425, + 2323768 + ], + [ + 66189222, + 49447612 + ], + [ + 21390382, + 70254748 + ], + [ + 24918109, + 18719028 + ], + [ + 46991011, + 42009653 + ], + [ + 41678363, + 35912489 + ], + [ + 56239021, + 82057339 + ], + [ + 21292815, + 99048131 + ], + [ + 96110320, + 28957649 + ], + [ + 258516, + 59110394 + ], + [ + 7341154, + 68867470 + ], + [ + 97076859, + 41323469 + ], + [ + 77697928, + 28623919 + ], + [ + 97357182, + 82123128 + ], + [ + 59597760, + 18835805 + ], + [ + 85919340, + 35528053 + ], + [ + 79668048, + 37271728 + ], + [ + 819266, + 38462788 + ], + [ + 34278003, + 86596115 + ], + [ + 56683526, + 15094239 + ], + [ + 80838602, + 72725884 + ], + [ + 21802333, + 23850903 + ], + [ + 24927276, + 55887202 + ], + [ + 8100458, + 75494980 + ], + [ + 180752, + 90751510 + ], + [ + 42186927, + 52526607 + ], + [ + 39676812, + 70861438 + ], + [ + 35876859, + 78444594 + ], + [ + 18564595, + 89642286 + ], + [ + 45742319, + 13850611 + ], + [ + 61355442, + 8498626 + ], + [ + 97156493, + 177118 + ], + [ + 6079116, + 34725892 + ], + [ + 54519143, + 90269124 + ], + [ + 58703435, + 72996635 + ], + [ + 5266723, + 65785842 + ], + [ + 17302659, + 51566897 + ], + [ + 47510722, + 11211110 + ], + [ + 65931705, + 87225324 + ], + [ + 1830603, + 97029127 + ], + [ + 34840086, + 21638967 + ], + [ + 88451049, + 74141140 + ], + [ + 51506615, + 1887928 + ], + [ + 70174791, + 65962442 + ], + [ + 6352037, + 75988772 + ], + [ + 83861224, + 67055170 + ], + [ + 17388228, + 81828580 + ], + [ + 3498894, + 56253278 + ], + [ + 99807315, + 99121867 + ], + [ + 59294877, + 16870369 + ], + [ + 98505079, + 50283080 + ], + [ + 11202438, + 8679567 + ], + [ + 56489779, + 90836339 + ], + [ + 16063883, + 54022740 + ], + [ + 57764119, + 63748544 + ], + [ + 60190273, + 30583349 + ], + [ + 91822397, + 96629889 + ], + [ + 757113, + 74842359 + ], + [ + 18092038, + 35970815 + ], + [ + 86387357, + 6900638 + ], + [ + 31798282, + 98339133 + ], + [ + 47677092, + 19799046 + ], + [ + 27126862, + 16893691 + ], + [ + 65495784, + 68394471 + ], + [ + 32585165, + 23529355 + ], + [ + 85675440, + 33282564 + ], + [ + 35903407, + 74110487 + ], + [ + 9660759, + 68179827 + ], + [ + 29002183, + 91129692 + ], + [ + 79808726, + 42067469 + ], + [ + 64600388, + 13915697 + ], + [ + 42669223, + 8220654 + ], + [ + 21857781, + 77913667 + ], + [ + 75363685, + 70615302 + ], + [ + 28880255, + 56915808 + ], + [ + 20495093, + 18357418 + ], + [ + 38789499, + 61461375 + ], + [ + 41147913, + 12126746 + ], + [ + 46485320, + 14786178 + ], + [ + 62114302, + 92430163 + ], + [ + 45083690, + 95842534 + ], + [ + 63346444, + 65510535 + ], + [ + 73589055, + 54925240 + ], + [ + 87155181, + 66716106 + ], + [ + 18029287, + 54246643 + ], + [ + 16038436, + 72621786 + ], + [ + 95665945, + 60910326 + ], + [ + 25354452, + 98872682 + ], + [ + 42246434, + 6466044 + ], + [ + 83861926, + 73726737 + ], + [ + 91786116, + 37370273 + ], + [ + 95846498, + 75957690 + ], + [ + 55689474, + 78417244 + ], + [ + 24136117, + 38181562 + ], + [ + 98881998, + 74819158 + ], + [ + 90269044, + 66443454 + ], + [ + 12697817, + 49385863 + ], + [ + 27640831, + 74064760 + ], + [ + 34496831, + 83912438 + ], + [ + 94557932, + 40178570 + ], + [ + 15478288, + 27966846 + ], + [ + 19340445, + 70692019 + ], + [ + 10703119, + 61459530 + ], + [ + 93103460, + 35863932 + ], + [ + 91838662, + 83754232 + ], + [ + 73697929, + 18250723 + ], + [ + 81015550, + 26710211 + ], + [ + 20829139, + 73272215 + ], + [ + 26090648, + 60723434 + ], + [ + 38426142, + 41487928 + ], + [ + 42271254, + 72067591 + ], + [ + 94166276, + 18958770 + ], + [ + 59164935, + 76162942 + ], + [ + 2775529, + 7924584 + ], + [ + 28079, + 25919596 + ], + [ + 5186106, + 17951492 + ], + [ + 28778314, + 47095772 + ], + [ + 51998185, + 30053075 + ], + [ + 68636382, + 93650790 + ], + [ + 89193331, + 49994038 + ], + [ + 23716074, + 10603350 + ], + [ + 91225299, + 94217930 + ], + [ + 27076656, + 86092466 + ], + [ + 52029031, + 94549624 + ], + [ + 78692402, + 98838699 + ], + [ + 2008465, + 18067319 + ], + [ + 99397158, + 44454609 + ], + [ + 60819619, + 52390742 + ], + [ + 45856803, + 3262426 + ], + [ + 24678048, + 81127799 + ], + [ + 98508842, + 92262155 + ], + [ + 59535430, + 50934051 + ], + [ + 72153340, + 24292730 + ], + [ + 50157941, + 19408748 + ], + [ + 98314891, + 5760871 + ], + [ + 41712905, + 976136 + ], + [ + 993751, + 1805660 + ], + [ + 79259590, + 59864958 + ], + [ + 46851151, + 98979626 + ], + [ + 26772923, + 75469145 + ], + [ + 75307055, + 40106799 + ], + [ + 91330885, + 36587051 + ], + [ + 67386032, + 81952222 + ], + [ + 22831302, + 42213713 + ], + [ + 21947222, + 60458014 + ], + [ + 79273240, + 85333695 + ], + [ + 31165926, + 18099181 + ], + [ + 4384238, + 30123088 + ], + [ + 74657960, + 43876019 + ], + [ + 6943088, + 26199128 + ], + [ + 46799975, + 55492283 + ], + [ + 98777330, + 59303588 + ], + [ + 35572053, + 95344000 + ], + [ + 67667849, + 45929759 + ], + [ + 19245408, + 98086910 + ], + [ + 37087802, + 4907070 + ], + [ + 57411511, + 7464724 + ], + [ + 28592342, + 74452674 + ], + [ + 66547886, + 81423 + ], + [ + 20270580, + 66031738 + ], + [ + 98161543, + 32434784 + ], + [ + 59740902, + 54359920 + ], + [ + 13342358, + 33146035 + ], + [ + 74419051, + 31921726 + ], + [ + 29927537, + 87733554 + ], + [ + 8237230, + 3319749 + ], + [ + 2788281, + 35434416 + ], + [ + 86335503, + 42548630 + ], + [ + 6131402, + 40537256 + ], + [ + 75143177, + 45455253 + ], + [ + 68271859, + 13486798 + ], + [ + 34888957, + 58860863 + ], + [ + 22117513, + 734206 + ], + [ + 51591190, + 15376129 + ], + [ + 69326809, + 33439334 + ], + [ + 65768638, + 78839776 + ], + [ + 93088425, + 11326873 + ], + [ + 12643157, + 12471568 + ], + [ + 9207835, + 66217806 + ], + [ + 60660746, + 14416550 + ], + [ + 72014048, + 95752091 + ], + [ + 9151939, + 457866 + ], + [ + 24207518, + 92946629 + ], + [ + 45385656, + 84040164 + ], + [ + 70039152, + 71697172 + ], + [ + 86073720, + 17086402 + ], + [ + 18401827, + 99325101 + ], + [ + 5138354, + 72180790 + ], + [ + 15734882, + 67815331 + ], + [ + 50453126, + 18779728 + ], + [ + 40346175, + 39987557 + ], + [ + 59118326, + 3210827 + ], + [ + 3407920, + 64552759 + ], + [ + 32853454, + 84332605 + ], + [ + 52702841, + 75007013 + ], + [ + 76197208, + 38419885 + ], + [ + 65327346, + 20554993 + ], + [ + 19061009, + 24872657 + ], + [ + 96038140, + 84425791 + ], + [ + 44019955, + 8993646 + ], + [ + 29976279, + 19017427 + ], + [ + 17885203, + 25158256 + ], + [ + 54257845, + 60189473 + ], + [ + 7079012, + 98983644 + ], + [ + 6429959, + 38902181 + ], + [ + 80808055, + 5132257 + ], + [ + 7663410, + 18443077 + ], + [ + 6773199, + 28928915 + ], + [ + 94452053, + 88083682 + ], + [ + 18453074, + 7721496 + ], + [ + 38489424, + 69951664 + ], + [ + 9829820, + 84706179 + ], + [ + 11018741, + 53576063 + ], + [ + 80477005, + 10429009 + ], + [ + 55683937, + 92472174 + ], + [ + 97106159, + 1284470 + ], + [ + 20331417, + 39480238 + ], + [ + 30646975, + 87681889 + ], + [ + 43200950, + 89940907 + ], + [ + 141470, + 524049 + ], + [ + 79276429, + 95224855 + ], + [ + 8930798, + 75254289 + ], + [ + 4049011, + 12477887 + ], + [ + 69947547, + 86456592 + ], + [ + 9129228, + 56591959 + ], + [ + 42165497, + 89413029 + ], + [ + 55045845, + 6140773 + ], + [ + 68103798, + 10557843 + ], + [ + 81002354, + 36491860 + ], + [ + 78187829, + 22583475 + ], + [ + 21851402, + 27611292 + ], + [ + 24976844, + 69782888 + ], + [ + 25378537, + 97437772 + ], + [ + 70303467, + 58284254 + ], + [ + 28323596, + 2762656 + ], + [ + 72663574, + 67760281 + ], + [ + 94535558, + 80259349 + ], + [ + 21252783, + 44047160 + ], + [ + 22307065, + 61121532 + ], + [ + 97483977, + 25745902 + ], + [ + 13445480, + 15854650 + ], + [ + 585263, + 99016706 + ], + [ + 38762608, + 62909892 + ], + [ + 4027243, + 80804124 + ], + [ + 96826256, + 17607172 + ], + [ + 48171571, + 27937703 + ], + [ + 91182944, + 31781330 + ], + [ + 17780060, + 49494284 + ], + [ + 22500065, + 60383963 + ], + [ + 42326601, + 18945679 + ], + [ + 53998891, + 86867494 + ], + [ + 20849276, + 14259189 + ], + [ + 7353350, + 94034862 + ], + [ + 77647736, + 8077627 + ], + [ + 4762330, + 28258651 + ], + [ + 72037365, + 47776244 + ], + [ + 77546292, + 64351438 + ], + [ + 35151315, + 92260370 + ], + [ + 12956218, + 1274126 + ], + [ + 68870848, + 28575764 + ], + [ + 11963926, + 33062809 + ], + [ + 72222065, + 23726799 + ], + [ + 2299510, + 81181373 + ], + [ + 94911540, + 16583947 + ], + [ + 92222592, + 41479033 + ], + [ + 80994925, + 41553341 + ], + [ + 82284725, + 49623819 + ], + [ + 49370739, + 30328523 + ], + [ + 68577876, + 57141146 + ], + [ + 18830219, + 14559594 + ], + [ + 77102560, + 44867836 + ], + [ + 68887966, + 51980548 + ], + [ + 45097478, + 10445821 + ], + [ + 65903832, + 76475379 + ], + [ + 37926308, + 34789103 + ], + [ + 81107080, + 8369402 + ], + [ + 45913388, + 53844515 + ], + [ + 93379931, + 90131636 + ], + [ + 55502015, + 480955 + ], + [ + 76767561, + 9442676 + ], + [ + 68044327, + 58671296 + ], + [ + 4705291, + 2125968 + ], + [ + 5961170, + 68451354 + ], + [ + 69297285, + 39409410 + ], + [ + 56210581, + 97011938 + ], + [ + 91111222, + 51563482 + ], + [ + 9799856, + 1464723 + ], + [ + 20878473, + 95098135 + ], + [ + 5376471, + 95720152 + ], + [ + 28368687, + 4461414 + ], + [ + 80226822, + 93842780 + ], + [ + 81559281, + 49764287 + ], + [ + 88163745, + 67138617 + ], + [ + 13720460, + 76103953 + ], + [ + 67252328, + 56695805 + ], + [ + 71415754, + 13989854 + ], + [ + 84254338, + 24900210 + ], + [ + 39880380, + 51109085 + ], + [ + 25320011, + 60479075 + ], + [ + 59822868, + 72661681 + ], + [ + 37861740, + 38748073 + ], + [ + 54388991, + 44008549 + ], + [ + 81004984, + 82077107 + ], + [ + 71784889, + 14641872 + ], + [ + 85331583, + 42684370 + ], + [ + 26947363, + 15858650 + ], + [ + 34842154, + 54126526 + ], + [ + 18866152, + 71375333 + ], + [ + 45787033, + 27466446 + ], + [ + 69980433, + 67744133 + ], + [ + 24422632, + 41727472 + ], + [ + 81395813, + 579600 + ], + [ + 88224192, + 39542663 + ], + [ + 39656376, + 21625390 + ], + [ + 98560984, + 20014198 + ], + [ + 45682093, + 14898949 + ], + [ + 44891550, + 59861767 + ], + [ + 47003696, + 51222199 + ], + [ + 40768777, + 92748964 + ], + [ + 55152222, + 93281367 + ], + [ + 89680348, + 60744333 + ], + [ + 876461, + 86157264 + ], + [ + 34340817, + 69411864 + ], + [ + 48887399, + 46233512 + ], + [ + 99808118, + 10830713 + ], + [ + 34300779, + 9747046 + ], + [ + 98507136, + 68183455 + ], + [ + 19004273, + 11948501 + ], + [ + 3805867, + 53477696 + ], + [ + 62872541, + 50546283 + ], + [ + 45282757, + 59390265 + ], + [ + 96329618, + 26474152 + ], + [ + 38478786, + 35024412 + ], + [ + 17206097, + 59409312 + ], + [ + 11633931, + 13553596 + ], + [ + 54996992, + 31146884 + ], + [ + 80207403, + 80328176 + ], + [ + 15965196, + 80272412 + ], + [ + 3347343, + 39517343 + ], + [ + 37599838, + 44540425 + ], + [ + 53916185, + 11510017 + ], + [ + 98621165, + 35985058 + ], + [ + 50939914, + 44881053 + ], + [ + 13539442, + 57620261 + ], + [ + 92949441, + 60295939 + ], + [ + 65101362, + 62786467 + ], + [ + 27900830, + 45355616 + ], + [ + 65896792, + 2613547 + ], + [ + 40835650, + 75360140 + ], + [ + 68320475, + 73275899 + ], + [ + 68766580, + 84773828 + ], + [ + 84978791, + 82014823 + ], + [ + 2981586, + 10117397 + ], + [ + 53519680, + 56517088 + ], + [ + 90321779, + 19266256 + ], + [ + 11773786, + 22142020 + ], + [ + 97854696, + 46645554 + ], + [ + 75700112, + 93594552 + ], + [ + 44888038, + 4893084 + ], + [ + 31432343, + 19183453 + ], + [ + 25973154, + 95667864 + ], + [ + 44625461, + 19490189 + ], + [ + 71501830, + 59289307 + ], + [ + 28617371, + 86889386 + ], + [ + 32795853, + 3163408 + ], + [ + 17350660, + 9537159 + ], + [ + 55277846, + 62456694 + ], + [ + 99786039, + 80437919 + ], + [ + 52866756, + 73768980 + ], + [ + 57642282, + 32173747 + ], + [ + 43957713, + 8135144 + ], + [ + 90864177, + 70096291 + ], + [ + 42751769, + 75278437 + ], + [ + 61074310, + 52576484 + ], + [ + 59058914, + 53312812 + ], + [ + 65800446, + 37393524 + ], + [ + 18812679, + 53337910 + ], + [ + 88086445, + 63841448 + ], + [ + 69283088, + 95134353 + ], + [ + 81566195, + 32234131 + ], + [ + 40829117, + 47698296 + ], + [ + 326747, + 20277117 + ], + [ + 33287352, + 83451775 + ], + [ + 21532715, + 58969950 + ], + [ + 93758199, + 20765284 + ], + [ + 76778357, + 90848651 + ], + [ + 95653395, + 69933948 + ], + [ + 8103958, + 94094775 + ], + [ + 15212453, + 64827684 + ], + [ + 13162613, + 88945636 + ], + [ + 49231798, + 79039382 + ], + [ + 59027543, + 19824648 + ], + [ + 92305743, + 52084732 + ], + [ + 8015386, + 94758594 + ], + [ + 82703997, + 44474978 + ], + [ + 38743535, + 15638641 + ], + [ + 37460823, + 39610573 + ], + [ + 66275017, + 26408188 + ], + [ + 94140277, + 12423815 + ], + [ + 9784787, + 81146786 + ], + [ + 49698967, + 21414020 + ], + [ + 97498314, + 57080156 + ], + [ + 3916250, + 86130569 + ], + [ + 62274455, + 7163275 + ], + [ + 81712347, + 60982655 + ], + [ + 95868547, + 13176128 + ], + [ + 61817086, + 79631427 + ], + [ + 65707000, + 47681740 + ], + [ + 59493216, + 63144412 + ], + [ + 49171585, + 93517684 + ], + [ + 46293545, + 75005640 + ], + [ + 26403459, + 51189958 + ], + [ + 45308819, + 9429497 + ], + [ + 99419205, + 31063442 + ], + [ + 68582667, + 63931013 + ], + [ + 28658419, + 39482926 + ], + [ + 1067421, + 97283679 + ], + [ + 15802718, + 33116637 + ], + [ + 93932950, + 96298084 + ], + [ + 77103549, + 5619264 + ], + [ + 67555315, + 57117219 + ], + [ + 81851696, + 30638966 + ], + [ + 66756793, + 28076418 + ], + [ + 38322779, + 63798046 + ], + [ + 93097598, + 30881948 + ], + [ + 57555485, + 2586768 + ], + [ + 76345514, + 67492938 + ], + [ + 11818724, + 80903685 + ], + [ + 33316577, + 52695981 + ], + [ + 6974572, + 21733786 + ], + [ + 20029694, + 23215393 + ], + [ + 13325879, + 12135483 + ], + [ + 47475586, + 19449676 + ], + [ + 92283546, + 55075504 + ], + [ + 47207152, + 38458515 + ], + [ + 65349390, + 26811799 + ], + [ + 82902694, + 39843683 + ], + [ + 32717398, + 54984030 + ], + [ + 82610926, + 23690060 + ], + [ + 86709170, + 60650594 + ], + [ + 64549351, + 46772784 + ], + [ + 53168085, + 49669439 + ], + [ + 17069035, + 7736328 + ], + [ + 2095736, + 88660610 + ], + [ + 6822784, + 78740060 + ], + [ + 67775998, + 82593694 + ], + [ + 82594718, + 55775874 + ], + [ + 73502556, + 71568612 + ], + [ + 19164388, + 29162482 + ], + [ + 99947742, + 88260284 + ], + [ + 92983980, + 11944011 + ], + [ + 42241593, + 16767235 + ], + [ + 77325684, + 76861979 + ], + [ + 92197162, + 24391186 + ], + [ + 33683470, + 80741951 + ], + [ + 88170876, + 75484214 + ], + [ + 88982351, + 9417439 + ], + [ + 22962713, + 95723259 + ], + [ + 19424000, + 11338136 + ], + [ + 14911470, + 45025488 + ], + [ + 68691906, + 51079234 + ], + [ + 32351700, + 50939657 + ], + [ + 39921572, + 56874944 + ], + [ + 90625450, + 69466958 + ], + [ + 34855538, + 26528961 + ], + [ + 20051859, + 69760991 + ], + [ + 90467114, + 74931799 + ], + [ + 5006646, + 99890956 + ], + [ + 50378292, + 30184653 + ], + [ + 75691557, + 49553893 + ], + [ + 32119661, + 24052939 + ], + [ + 81877148, + 48289609 + ], + [ + 43912219, + 31450221 + ], + [ + 90052879, + 68543205 + ], + [ + 88580704, + 85841087 + ], + [ + 58222434, + 27551398 + ], + [ + 36834913, + 73832011 + ], + [ + 15397013, + 21987254 + ], + [ + 38032821, + 96091661 + ], + [ + 32428958, + 84417537 + ], + [ + 74546118, + 2687038 + ], + [ + 7639562, + 37120479 + ], + [ + 25123844, + 4572208 + ], + [ + 28745879, + 8510926 + ], + [ + 26895270, + 10833689 + ], + [ + 4060150, + 27654907 + ], + [ + 83124455, + 10092818 + ], + [ + 64573949, + 60674207 + ], + [ + 50977871, + 64935098 + ], + [ + 48084840, + 60707510 + ], + [ + 34294753, + 51726627 + ], + [ + 11472659, + 58157947 + ], + [ + 37558284, + 99620387 + ], + [ + 13587363, + 93634442 + ], + [ + 60422421, + 74894140 + ], + [ + 88209403, + 44319749 + ], + [ + 68426185, + 84726581 + ], + [ + 15770015, + 78619577 + ], + [ + 87232113, + 9722508 + ], + [ + 49061379, + 29130637 + ], + [ + 82323414, + 4536654 + ], + [ + 1448014, + 37640286 + ], + [ + 59180393, + 46441382 + ], + [ + 64637071, + 65935005 + ], + [ + 58903221, + 74289857 + ], + [ + 11340695, + 32564903 + ], + [ + 66005503, + 52307733 + ], + [ + 63228453, + 49545139 + ], + [ + 66348770, + 81189162 + ], + [ + 1740651, + 28941737 + ], + [ + 73781719, + 30539184 + ], + [ + 63998085, + 63845600 + ], + [ + 59006139, + 89521155 + ], + [ + 5181894, + 60589764 + ], + [ + 1293054, + 47986557 + ], + [ + 48652510, + 5182246 + ], + [ + 13303177, + 25051788 + ], + [ + 44960006, + 51417904 + ], + [ + 2826173, + 90166023 + ], + [ + 52676491, + 93593887 + ], + [ + 32260327, + 59708500 + ], + [ + 76260593, + 306241 + ], + [ + 40358832, + 91876737 + ], + [ + 23481695, + 70880206 + ], + [ + 27764636, + 3080154 + ], + [ + 15488507, + 1643723 + ], + [ + 81339702, + 7415239 + ], + [ + 23317705, + 65355605 + ], + [ + 10143844, + 64739451 + ], + [ + 43358964, + 76520004 + ], + [ + 74934757, + 38869398 + ], + [ + 74689167, + 51399550 + ], + [ + 92980899, + 21459814 + ], + [ + 415044, + 29484420 + ], + [ + 57467403, + 62002100 + ], + [ + 92545815, + 16591995 + ], + [ + 28735988, + 98145433 + ], + [ + 89286288, + 77686986 + ], + [ + 20943405, + 81313254 + ], + [ + 18391423, + 13794909 + ], + [ + 17934157, + 42135353 + ], + [ + 75377869, + 58614979 + ], + [ + 21695473, + 45190385 + ], + [ + 19273698, + 14810360 + ], + [ + 58711676, + 10369572 + ], + [ + 18787552, + 6964602 + ], + [ + 61604916, + 22640605 + ], + [ + 26713765, + 14216401 + ], + [ + 64866442, + 33199253 + ], + [ + 46650652, + 34329295 + ], + [ + 35319618, + 19727634 + ], + [ + 66096588, + 89698192 + ], + [ + 20554680, + 53621850 + ], + [ + 98366722, + 55113680 + ], + [ + 91977203, + 3729180 + ], + [ + 91266851, + 55423402 + ], + [ + 18619289, + 5271407 + ], + [ + 47622885, + 76438885 + ], + [ + 99333804, + 31599934 + ], + [ + 85373423, + 16507385 + ], + [ + 68457668, + 17035117 + ], + [ + 34799529, + 12214126 + ], + [ + 92348065, + 20001424 + ], + [ + 47611081, + 91848174 + ], + [ + 56431488, + 78819718 + ], + [ + 90252105, + 84253938 + ], + [ + 60330305, + 14342153 + ], + [ + 94806281, + 59268050 + ], + [ + 52048835, + 92296359 + ], + [ + 73655815, + 50411824 + ], + [ + 32759710, + 15350008 + ], + [ + 98324853, + 29967321 + ], + [ + 33592049, + 48105853 + ], + [ + 70988657, + 49623216 + ], + [ + 72494312, + 66713057 + ], + [ + 39502958, + 59494369 + ], + [ + 27874641, + 61589605 + ], + [ + 84887024, + 80187482 + ], + [ + 43055675, + 86515721 + ], + [ + 832443, + 23591962 + ], + [ + 75636305, + 19109614 + ], + [ + 93680323, + 26300550 + ], + [ + 85637515, + 60337893 + ], + [ + 62787843, + 6099171 + ], + [ + 5941953, + 58346887 + ], + [ + 93626612, + 11592994 + ], + [ + 97334592, + 1640787 + ], + [ + 51244140, + 46805670 + ], + [ + 27602667, + 56403063 + ], + [ + 80072351, + 49232860 + ], + [ + 31116028, + 65478541 + ], + [ + 67031058, + 26726850 + ], + [ + 63145056, + 46428301 + ], + [ + 93556297, + 77138856 + ], + [ + 10595635, + 12860177 + ], + [ + 23858924, + 87434074 + ], + [ + 50154551, + 80694765 + ], + [ + 40488634, + 88848252 + ], + [ + 91765749, + 44510061 + ], + [ + 86803008, + 66523286 + ], + [ + 41514366, + 41912983 + ], + [ + 16771729, + 15799734 + ], + [ + 78749073, + 10419020 + ], + [ + 54806631, + 24737567 + ], + [ + 75849980, + 82430413 + ], + [ + 26677567, + 77291878 + ], + [ + 48688066, + 72335094 + ], + [ + 90619127, + 863071 + ], + [ + 81245640, + 41360369 + ], + [ + 72301247, + 28611533 + ], + [ + 99929085, + 61511258 + ], + [ + 47557322, + 22862519 + ], + [ + 30656583, + 94719361 + ], + [ + 81059900, + 81840518 + ], + [ + 38841576, + 5705239 + ], + [ + 76987009, + 87828859 + ], + [ + 25705435, + 31284808 + ], + [ + 80633989, + 19127127 + ], + [ + 57873832, + 25432480 + ], + [ + 44193647, + 59444963 + ], + [ + 27193483, + 74786082 + ], + [ + 56783749, + 66822801 + ], + [ + 32055467, + 91197518 + ], + [ + 69613293, + 80679009 + ], + [ + 35171532, + 87063901 + ], + [ + 64056689, + 25194342 + ], + [ + 22813857, + 66918060 + ], + [ + 75980046, + 88496124 + ], + [ + 1081161, + 15323031 + ], + [ + 35739441, + 13553236 + ], + [ + 37856448, + 45438332 + ], + [ + 96286269, + 25974668 + ], + [ + 23995859, + 39132403 + ], + [ + 23604299, + 64099125 + ], + [ + 88689535, + 48240486 + ], + [ + 23662905, + 65436318 + ], + [ + 77371036, + 16902143 + ], + [ + 88452252, + 59647974 + ], + [ + 54053546, + 58075041 + ], + [ + 57018753, + 85710963 + ], + [ + 51515079, + 67826937 + ], + [ + 80951868, + 19616325 + ], + [ + 226978, + 95279493 + ], + [ + 65536634, + 78648032 + ], + [ + 74449920, + 54879261 + ], + [ + 14884178, + 15376065 + ], + [ + 11660266, + 54965644 + ], + [ + 1530837, + 98536453 + ], + [ + 83013631, + 15015297 + ], + [ + 25942379, + 29021453 + ], + [ + 13580164, + 34379515 + ], + [ + 80832165, + 38305720 + ], + [ + 1323215, + 81953447 + ], + [ + 86241606, + 5540687 + ], + [ + 51081445, + 89862133 + ], + [ + 5460992, + 79326187 + ], + [ + 30029316, + 50161826 + ], + [ + 19178093, + 24083857 + ], + [ + 61090881, + 17055727 + ], + [ + 87918803, + 19868337 + ], + [ + 5781147, + 51624494 + ], + [ + 84858134, + 89198919 + ], + [ + 12534607, + 12209061 + ], + [ + 95046511, + 24430508 + ], + [ + 34184135, + 26112517 + ], + [ + 15819897, + 74059739 + ], + [ + 44862523, + 87725082 + ], + [ + 81581325, + 57290968 + ], + [ + 12504076, + 45676075 + ], + [ + 16890641, + 65735624 + ], + [ + 7792170, + 18916627 + ], + [ + 66526015, + 77324510 + ], + [ + 19908947, + 31343693 + ], + [ + 8686294, + 1508262 + ], + [ + 57715979, + 979689 + ], + [ + 3981791, + 80086204 + ], + [ + 62313423, + 46559653 + ], + [ + 9916124, + 59454025 + ], + [ + 17417793, + 12485725 + ], + [ + 94925933, + 81361933 + ], + [ + 51953403, + 14537745 + ], + [ + 9335660, + 87319458 + ], + [ + 73920976, + 13494410 + ], + [ + 56777307, + 27636927 + ], + [ + 48104094, + 19301316 + ], + [ + 1797044, + 88343291 + ], + [ + 677326, + 3161789 + ], + [ + 65852345, + 6123914 + ], + [ + 44675226, + 3390296 + ], + [ + 84556053, + 9901953 + ], + [ + 95343173, + 69973236 + ], + [ + 5096414, + 65375550 + ], + [ + 63836282, + 88566946 + ], + [ + 58974144, + 94178414 + ], + [ + 75599061, + 68608320 + ], + [ + 88465902, + 12617834 + ], + [ + 72942936, + 64530439 + ], + [ + 38848059, + 82216234 + ], + [ + 39272317, + 91228412 + ], + [ + 59483328, + 51872213 + ], + [ + 88370218, + 3425874 + ], + [ + 46940983, + 52274285 + ], + [ + 80671481, + 73654196 + ], + [ + 41751468, + 4290783 + ], + [ + 59247815, + 86484360 + ], + [ + 32155818, + 92117513 + ], + [ + 73286015, + 11958767 + ], + [ + 17165596, + 2368030 + ], + [ + 32567786, + 87542522 + ], + [ + 78687819, + 46605008 + ], + [ + 4791054, + 64598827 + ], + [ + 53619901, + 73248037 + ], + [ + 85686210, + 80713146 + ], + [ + 51510950, + 11900984 + ], + [ + 37094493, + 89480620 + ], + [ + 92267690, + 94591029 + ], + [ + 13621112, + 71553988 + ], + [ + 50757837, + 61310898 + ], + [ + 76583669, + 638294 + ], + [ + 72261879, + 77280138 + ], + [ + 95620800, + 87386779 + ], + [ + 30961262, + 99211957 + ], + [ + 25709482, + 91055029 + ], + [ + 29139186, + 876783 + ], + [ + 95784701, + 33506707 + ], + [ + 94981532, + 33996593 + ], + [ + 79103229, + 61140185 + ], + [ + 91233506, + 7535580 + ], + [ + 98559542, + 90422129 + ], + [ + 45904285, + 25175653 + ], + [ + 73610481, + 72326420 + ], + [ + 51749642, + 46518001 + ], + [ + 9307406, + 556614 + ], + [ + 9451057, + 12925100 + ], + [ + 67305626, + 72656309 + ], + [ + 44087590, + 55477069 + ], + [ + 28923360, + 17055204 + ], + [ + 75420667, + 90842562 + ], + [ + 35742714, + 37507858 + ], + [ + 65292907, + 72084427 + ], + [ + 16316811, + 18347348 + ], + [ + 26572614, + 9631304 + ], + [ + 88021756, + 17809516 + ], + [ + 51602379, + 68211487 + ], + [ + 93540625, + 11872357 + ], + [ + 68836768, + 59496303 + ], + [ + 32442038, + 64949856 + ], + [ + 38200207, + 46530589 + ], + [ + 71214639, + 59682177 + ], + [ + 40331759, + 5221944 + ], + [ + 19809597, + 60337922 + ], + [ + 60432588, + 90478250 + ], + [ + 222065, + 76916973 + ], + [ + 1068619, + 82460096 + ], + [ + 79521235, + 48257615 + ], + [ + 61302837, + 22177339 + ], + [ + 12743637, + 44858423 + ], + [ + 12471742, + 38800346 + ], + [ + 15611375, + 96415439 + ], + [ + 94462249, + 29745840 + ], + [ + 15330588, + 63210540 + ], + [ + 47580630, + 37377274 + ], + [ + 64499454, + 53953020 + ], + [ + 75660234, + 75168913 + ], + [ + 84023644, + 50237417 + ], + [ + 35519978, + 3450196 + ], + [ + 9800665, + 31390982 + ], + [ + 10549455, + 22137380 + ], + [ + 86430604, + 28561502 + ], + [ + 51764283, + 55264236 + ], + [ + 57974286, + 98766726 + ], + [ + 34940850, + 67142864 + ], + [ + 22469437, + 13378664 + ], + [ + 21171602, + 20827006 + ], + [ + 33746173, + 41321134 + ], + [ + 4934677, + 54174 + ], + [ + 63351394, + 94106632 + ], + [ + 59862450, + 65507690 + ], + [ + 47039264, + 83416637 + ], + [ + 56568001, + 73918487 + ], + [ + 15851095, + 25421077 + ], + [ + 21179953, + 4421966 + ], + [ + 35325548, + 1979610 + ], + [ + 30867477, + 84961864 + ], + [ + 60559086, + 97221572 + ], + [ + 442854, + 62631007 + ], + [ + 64540799, + 41395247 + ], + [ + 55837392, + 29433977 + ], + [ + 80831071, + 66404359 + ], + [ + 69108577, + 33544040 + ], + [ + 4535462, + 16827423 + ], + [ + 36108067, + 67471172 + ], + [ + 10975857, + 47237114 + ], + [ + 41683953, + 1896279 + ], + [ + 74017152, + 82660708 + ], + [ + 4994535, + 56979535 + ], + [ + 59348974, + 81825036 + ], + [ + 16004594, + 63903094 + ], + [ + 63091475, + 11623765 + ], + [ + 92275933, + 31004831 + ], + [ + 24774963, + 96183513 + ], + [ + 96283962, + 16089959 + ], + [ + 85150944, + 7313719 + ], + [ + 372125, + 30679430 + ], + [ + 41237944, + 51015966 + ], + [ + 86453855, + 11986089 + ], + [ + 4103212, + 87517193 + ], + [ + 66470520, + 65504730 + ], + [ + 18889640, + 56610368 + ], + [ + 82002489, + 33158247 + ], + [ + 93522301, + 61975073 + ], + [ + 7697211, + 88844317 + ], + [ + 56197861, + 50593253 + ], + [ + 66562563, + 78888791 + ], + [ + 50904968, + 16471904 + ], + [ + 67324571, + 95497196 + ], + [ + 30622240, + 31330385 + ], + [ + 72289385, + 39560475 + ], + [ + 76075041, + 44039560 + ], + [ + 35944574, + 69114270 + ], + [ + 76609160, + 28755775 + ], + [ + 26224373, + 45437688 + ], + [ + 6771880, + 89845899 + ], + [ + 51464812, + 45195507 + ], + [ + 91542449, + 24434880 + ], + [ + 56047855, + 18032315 + ], + [ + 96945658, + 45483960 + ], + [ + 56484960, + 76007335 + ], + [ + 9642281, + 79596052 + ], + [ + 31421065, + 68936912 + ], + [ + 78996908, + 20649754 + ], + [ + 56091031, + 28860189 + ], + [ + 14902669, + 61847821 + ], + [ + 26602503, + 22716499 + ], + [ + 86246931, + 83620403 + ], + [ + 78305406, + 51623834 + ], + [ + 5336775, + 76955588 + ], + [ + 86464177, + 3301265 + ], + [ + 55206925, + 14498208 + ], + [ + 36675472, + 58312515 + ], + [ + 17232628, + 91725717 + ], + [ + 1488317, + 37903344 + ], + [ + 97834613, + 53727870 + ], + [ + 45302837, + 10832256 + ], + [ + 58375895, + 49974381 + ], + [ + 34105532, + 43020319 + ], + [ + 84674884, + 41133179 + ], + [ + 32947890, + 25262991 + ], + [ + 53260646, + 1911708 + ], + [ + 5534513, + 76754624 + ], + [ + 69486877, + 95449233 + ], + [ + 48581178, + 74480211 + ], + [ + 42671927, + 31662871 + ], + [ + 3928617, + 97465157 + ], + [ + 50192630, + 62344862 + ], + [ + 80228502, + 42255288 + ], + [ + 78154008, + 84837403 + ], + [ + 39955608, + 38283471 + ], + [ + 97649494, + 63951525 + ], + [ + 54138888, + 16479000 + ], + [ + 73474777, + 93421406 + ], + [ + 75929480, + 10295181 + ], + [ + 24288845, + 80579062 + ], + [ + 19841349, + 87605435 + ], + [ + 81362103, + 23031785 + ], + [ + 62279595, + 74313110 + ], + [ + 65919962, + 77957015 + ], + [ + 15921842, + 1853692 + ], + [ + 81146399, + 74366314 + ], + [ + 70949660, + 34753541 + ], + [ + 19655956, + 59617969 + ], + [ + 54445177, + 51626803 + ], + [ + 58330917, + 26367342 + ], + [ + 86541137, + 17377368 + ], + [ + 98306578, + 31117591 + ], + [ + 69019037, + 77055002 + ], + [ + 19675007, + 11473501 + ], + [ + 57536851, + 97229908 + ], + [ + 42653679, + 59859613 + ], + [ + 89990505, + 41006180 + ], + [ + 51164006, + 61133795 + ], + [ + 48801852, + 91410241 + ], + [ + 64078085, + 51957168 + ], + [ + 39346397, + 53167565 + ], + [ + 28950558, + 87137791 + ], + [ + 32277192, + 92254275 + ], + [ + 4774787, + 1757131 + ], + [ + 96171225, + 15026369 + ], + [ + 80520066, + 32222154 + ], + [ + 14589106, + 46365568 + ], + [ + 81826260, + 21394900 + ], + [ + 4699116, + 77930884 + ], + [ + 47787272, + 61397771 + ], + [ + 4515241, + 59198381 + ], + [ + 86254242, + 5159845 + ], + [ + 80022782, + 87938315 + ], + [ + 98338598, + 22132857 + ], + [ + 76922546, + 45218316 + ], + [ + 78740071, + 51719607 + ], + [ + 78113308, + 38540676 + ], + [ + 62444955, + 81616444 + ], + [ + 12747899, + 71796492 + ], + [ + 16121238, + 24427032 + ], + [ + 83334553, + 47550158 + ], + [ + 15150652, + 83048830 + ], + [ + 42553306, + 761573 + ], + [ + 42461604, + 80960128 + ], + [ + 71085921, + 52886099 + ], + [ + 92993518, + 71391549 + ], + [ + 55833051, + 4869765 + ], + [ + 19636729, + 31906063 + ], + [ + 2442347, + 8788807 + ], + [ + 52765051, + 44839106 + ], + [ + 51091395, + 9247205 + ], + [ + 98148542, + 22541888 + ], + [ + 94631353, + 66553477 + ], + [ + 22555113, + 81524930 + ], + [ + 55954306, + 64083689 + ], + [ + 24074295, + 68775596 + ], + [ + 96264295, + 99371732 + ], + [ + 28772824, + 95752965 + ], + [ + 70484118, + 48094268 + ], + [ + 95576880, + 75221298 + ], + [ + 79963123, + 80867915 + ], + [ + 97540636, + 33263290 + ], + [ + 19208453, + 2704172 + ], + [ + 68544508, + 77617642 + ], + [ + 49214894, + 66215273 + ], + [ + 51513462, + 29757290 + ], + [ + 95184291, + 28299116 + ], + [ + 65972437, + 3710512 + ], + [ + 27010588, + 24954280 + ], + [ + 53872843, + 97676359 + ], + [ + 16177205, + 87153980 + ], + [ + 12843761, + 37677938 + ], + [ + 46442163, + 51729753 + ], + [ + 56408526, + 98548683 + ], + [ + 38725302, + 74814117 + ], + [ + 45694156, + 29215388 + ], + [ + 32091970, + 61595457 + ], + [ + 82904489, + 69761700 + ], + [ + 17687532, + 75558361 + ], + [ + 36605975, + 1579844 + ], + [ + 96758114, + 70703571 + ], + [ + 27755998, + 60182720 + ], + [ + 95186605, + 97482863 + ], + [ + 76760747, + 3570356 + ], + [ + 90490538, + 18780175 + ], + [ + 64136678, + 93821213 + ], + [ + 12975390, + 79822093 + ], + [ + 55985616, + 59172016 + ], + [ + 66818858, + 92144314 + ], + [ + 30917443, + 53954067 + ], + [ + 51200808, + 33107211 + ], + [ + 54273517, + 28696273 + ], + [ + 79441756, + 28822250 + ], + [ + 92197153, + 6051866 + ], + [ + 96539397, + 17661570 + ], + [ + 97197574, + 82332644 + ], + [ + 27389790, + 28005555 + ], + [ + 79060287, + 93416823 + ], + [ + 14567597, + 7278122 + ], + [ + 10739969, + 52754560 + ], + [ + 6826719, + 76068781 + ], + [ + 42904682, + 68156111 + ], + [ + 79450824, + 2188059 + ], + [ + 8946023, + 11042206 + ], + [ + 85677702, + 70890867 + ], + [ + 21555888, + 57564935 + ], + [ + 32054407, + 69173361 + ], + [ + 73933937, + 70013824 + ], + [ + 29816525, + 46462096 + ], + [ + 84349158, + 26550467 + ], + [ + 2962046, + 38540280 + ], + [ + 8880016, + 37617226 + ], + [ + 27115316, + 42395581 + ], + [ + 21128784, + 54663543 + ], + [ + 49625091, + 66792947 + ], + [ + 15476923, + 15483461 + ], + [ + 92865018, + 57943804 + ], + [ + 77096894, + 29596149 + ], + [ + 34537041, + 9685914 + ], + [ + 11926522, + 29644347 + ], + [ + 51581005, + 73508779 + ], + [ + 9293864, + 52370351 + ], + [ + 86071264, + 81164144 + ], + [ + 64069869, + 30000998 + ], + [ + 707259, + 52731870 + ], + [ + 64577119, + 51069 + ], + [ + 21881856, + 56620641 + ], + [ + 26743038, + 28172509 + ], + [ + 36682154, + 95638962 + ], + [ + 97185806, + 44557340 + ], + [ + 15637936, + 995349 + ], + [ + 97261032, + 81476551 + ], + [ + 20913213, + 92060193 + ], + [ + 75661850, + 45152091 + ], + [ + 90848956, + 56950489 + ], + [ + 49045802, + 12240428 + ], + [ + 68207608, + 71356717 + ], + [ + 40471883, + 88839434 + ], + [ + 73885538, + 77588112 + ], + [ + 41205512, + 15175477 + ], + [ + 57945942, + 3471582 + ], + [ + 64622125, + 54037769 + ], + [ + 34179081, + 1099810 + ], + [ + 89826663, + 81836770 + ], + [ + 67072042, + 89575891 + ], + [ + 98905002, + 67404927 + ], + [ + 74288220, + 42799655 + ], + [ + 62075978, + 28355216 + ], + [ + 81815347, + 50860234 + ], + [ + 1317302, + 44001684 + ], + [ + 84893244, + 75085006 + ], + [ + 10019713, + 88758034 + ], + [ + 8842618, + 46234488 + ], + [ + 78784371, + 94711219 + ], + [ + 34033146, + 99223682 + ], + [ + 62178710, + 84804942 + ], + [ + 26759103, + 76511865 + ], + [ + 10397105, + 83437883 + ], + [ + 37935625, + 86363855 + ], + [ + 44571166, + 45370206 + ], + [ + 77172565, + 99307719 + ], + [ + 45325696, + 67681523 + ], + [ + 55376542, + 70926622 + ], + [ + 97663862, + 28331539 + ], + [ + 78445336, + 95055431 + ], + [ + 43638829, + 66338041 + ], + [ + 34960445, + 36841196 + ], + [ + 52930272, + 45181642 + ], + [ + 71114838, + 92169335 + ], + [ + 14370804, + 16662455 + ], + [ + 23218076, + 85976561 + ], + [ + 94326560, + 12924176 + ], + [ + 57595090, + 69184594 + ], + [ + 37012829, + 58808927 + ], + [ + 623822, + 39818901 + ], + [ + 22341533, + 79366105 + ], + [ + 75251137, + 95607236 + ], + [ + 24744507, + 58660939 + ], + [ + 80524146, + 69593272 + ], + [ + 77404377, + 51080842 + ], + [ + 17922166, + 24772785 + ], + [ + 98950535, + 75277974 + ], + [ + 49678281, + 25459644 + ], + [ + 62486281, + 69526109 + ], + [ + 38013173, + 93540120 + ], + [ + 98739327, + 22074013 + ], + [ + 52850930, + 2071926 + ], + [ + 98054871, + 52565121 + ], + [ + 69376045, + 41157293 + ], + [ + 53148564, + 74247616 + ], + [ + 99720799, + 786282 + ], + [ + 46912940, + 28493936 + ], + [ + 91012716, + 1099486 + ], + [ + 68574395, + 74256418 + ], + [ + 14473566, + 96901548 + ], + [ + 75419390, + 12935785 + ], + [ + 52779459, + 53519939 + ], + [ + 47761812, + 44055257 + ], + [ + 73494896, + 57801224 + ], + [ + 62427319, + 75143431 + ], + [ + 20950025, + 1579685 + ], + [ + 57907404, + 10431040 + ], + [ + 64672473, + 87472356 + ], + [ + 94763703, + 71524499 + ], + [ + 31175300, + 91830085 + ], + [ + 36290062, + 57434997 + ], + [ + 93410775, + 8249456 + ], + [ + 35285172, + 53185150 + ], + [ + 92508327, + 10235829 + ], + [ + 77631895, + 94116209 + ], + [ + 74544130, + 13567573 + ], + [ + 89911997, + 95506472 + ], + [ + 58733444, + 80969125 + ], + [ + 24275782, + 61393037 + ], + [ + 17662215, + 9264627 + ], + [ + 39440686, + 85925405 + ], + [ + 39620773, + 62698596 + ], + [ + 35569926, + 27789031 + ], + [ + 91236691, + 22337184 + ], + [ + 85928685, + 36425122 + ], + [ + 28570880, + 42789258 + ], + [ + 47391299, + 21353820 + ], + [ + 24008909, + 38474917 + ], + [ + 77465078, + 81383187 + ], + [ + 96780763, + 17588100 + ], + [ + 90950650, + 289951 + ], + [ + 48784158, + 36836171 + ], + [ + 1930578, + 60151894 + ], + [ + 52904707, + 4918398 + ], + [ + 18527760, + 94578087 + ], + [ + 57962372, + 98884128 + ], + [ + 95985788, + 25153684 + ], + [ + 33906538, + 18704550 + ], + [ + 96567553, + 64774050 + ], + [ + 36034962, + 16438806 + ], + [ + 77009628, + 89469095 + ], + [ + 78375117, + 68692725 + ], + [ + 3229382, + 42781474 + ], + [ + 40389847, + 55398938 + ], + [ + 20649371, + 89418176 + ], + [ + 6051450, + 65388143 + ], + [ + 13258578, + 19386808 + ], + [ + 63137230, + 30774891 + ], + [ + 72161118, + 51440296 + ], + [ + 87346800, + 9553210 + ], + [ + 52399833, + 70890567 + ], + [ + 75219806, + 21526935 + ], + [ + 93423094, + 41564921 + ], + [ + 76524632, + 50579386 + ], + [ + 66372420, + 92335804 + ], + [ + 63840461, + 96082666 + ], + [ + 99168143, + 33726328 + ], + [ + 97350563, + 28671050 + ], + [ + 39616221, + 2775869 + ], + [ + 53329989, + 71029877 + ], + [ + 26804645, + 53858555 + ], + [ + 18035426, + 73100182 + ], + [ + 60004552, + 27472999 + ], + [ + 90865304, + 7263975 + ], + [ + 37538980, + 98484956 + ], + [ + 33520449, + 10689176 + ], + [ + 59275710, + 49316535 + ], + [ + 81843507, + 63471263 + ], + [ + 97513472, + 34634154 + ], + [ + 23141683, + 7726463 + ], + [ + 71566921, + 23170053 + ], + [ + 27580573, + 65252485 + ], + [ + 86569919, + 66039164 + ], + [ + 66486125, + 2963270 + ], + [ + 27953951, + 95282761 + ], + [ + 82988498, + 72360438 + ], + [ + 83261323, + 26208660 + ], + [ + 17744048, + 43890935 + ], + [ + 95798273, + 36164760 + ], + [ + 76620092, + 38820820 + ], + [ + 23503302, + 74795367 + ], + [ + 4347080, + 53936314 + ], + [ + 91418005, + 86821683 + ], + [ + 10333867, + 19960606 + ], + [ + 38569611, + 39555601 + ], + [ + 90242832, + 31511202 + ], + [ + 67807275, + 91179154 + ], + [ + 67911261, + 31133138 + ], + [ + 13329619, + 44592063 + ], + [ + 44696648, + 63432542 + ], + [ + 27454951, + 65067907 + ], + [ + 4722598, + 61188596 + ], + [ + 61591534, + 61748244 + ], + [ + 35061722, + 66366116 + ], + [ + 31954718, + 86865019 + ], + [ + 57149757, + 78739188 + ], + [ + 11165052, + 91707303 + ], + [ + 29525417, + 31694495 + ], + [ + 23660132, + 81092737 + ], + [ + 28861395, + 40668101 + ], + [ + 93536714, + 65734466 + ], + [ + 88724701, + 31226086 + ], + [ + 41620944, + 62706944 + ], + [ + 32098558, + 72639925 + ], + [ + 65993679, + 37151046 + ], + [ + 15120897, + 8192314 + ], + [ + 76738466, + 95227597 + ], + [ + 71742646, + 57405937 + ], + [ + 89675226, + 63584973 + ], + [ + 10966567, + 83314130 + ], + [ + 60472070, + 16222140 + ], + [ + 48968447, + 15461149 + ], + [ + 13841594, + 55611502 + ], + [ + 58140224, + 75106974 + ], + [ + 62358273, + 39742390 + ], + [ + 25091305, + 36672389 + ], + [ + 4223600, + 47701313 + ], + [ + 65631731, + 82625336 + ], + [ + 80348163, + 87100025 + ], + [ + 86841889, + 36697016 + ], + [ + 40559022, + 44717325 + ], + [ + 21399821, + 99950315 + ], + [ + 37079967, + 51090978 + ], + [ + 43060159, + 7009710 + ], + [ + 46005045, + 63706890 + ], + [ + 80910519, + 3290813 + ], + [ + 4361234, + 99816744 + ], + [ + 25996183, + 13994629 + ], + [ + 14827141, + 67742416 + ], + [ + 48060092, + 64881641 + ], + [ + 96336240, + 73465546 + ], + [ + 71506061, + 95960671 + ], + [ + 57396108, + 66966617 + ], + [ + 76259497, + 21401280 + ], + [ + 96251468, + 62637755 + ], + [ + 54437685, + 66810275 + ], + [ + 92790886, + 19138576 + ], + [ + 29028186, + 82774454 + ], + [ + 6799906, + 35285111 + ], + [ + 14502274, + 14245306 + ], + [ + 85104954, + 94489106 + ], + [ + 32544354, + 33269911 + ], + [ + 84169494, + 82996842 + ], + [ + 3285580, + 88580050 + ], + [ + 55137875, + 37846582 + ], + [ + 77819686, + 49109271 + ], + [ + 33722633, + 91989625 + ], + [ + 37533689, + 94378452 + ], + [ + 66144557, + 92923336 + ], + [ + 31698694, + 62706499 + ], + [ + 69639823, + 91109827 + ], + [ + 41298467, + 9056552 + ], + [ + 90532128, + 79651171 + ], + [ + 34070690, + 89836255 + ], + [ + 28974828, + 87993058 + ], + [ + 39193907, + 67661290 + ], + [ + 41510739, + 29394168 + ], + [ + 17672387, + 18028162 + ], + [ + 39255636, + 89021045 + ], + [ + 69785995, + 77790915 + ], + [ + 70002732, + 17994859 + ], + [ + 27449649, + 97349133 + ], + [ + 38970298, + 94729406 + ], + [ + 20533251, + 52849673 + ], + [ + 90529325, + 57023226 + ], + [ + 84745624, + 29889281 + ], + [ + 86565425, + 22961262 + ], + [ + 33818603, + 78280967 + ], + [ + 54821596, + 4237881 + ], + [ + 72379844, + 18446938 + ], + [ + 10864538, + 26835452 + ], + [ + 59595690, + 73677648 + ], + [ + 3137259, + 81193069 + ], + [ + 48913531, + 4835806 + ], + [ + 76974129, + 35738786 + ], + [ + 34987700, + 13110474 + ], + [ + 87156139, + 27609029 + ], + [ + 36211896, + 12419920 + ], + [ + 4617629, + 28560656 + ], + [ + 19382353, + 38067832 + ], + [ + 51834296, + 80219910 + ], + [ + 18710364, + 10837962 + ], + [ + 6868459, + 18886854 + ], + [ + 34671633, + 62705579 + ], + [ + 96729752, + 9399257 + ], + [ + 27492278, + 32647982 + ], + [ + 22731840, + 23034137 + ], + [ + 62119688, + 26401511 + ], + [ + 10731389, + 64000982 + ], + [ + 59965681, + 55520673 + ], + [ + 13021067, + 69081243 + ], + [ + 56362747, + 8179168 + ], + [ + 94234004, + 38578883 + ], + [ + 96716149, + 5236804 + ], + [ + 9645219, + 81884593 + ], + [ + 32324568, + 15440793 + ], + [ + 40263672, + 77475439 + ], + [ + 53906110, + 67680227 + ], + [ + 21138647, + 46788554 + ], + [ + 7519114, + 57106273 + ], + [ + 60258276, + 53538726 + ], + [ + 50910292, + 54210099 + ], + [ + 27451021, + 66686977 + ], + [ + 68394988, + 65994776 + ], + [ + 62268171, + 13429326 + ], + [ + 12900056, + 92574416 + ], + [ + 68555345, + 47332422 + ], + [ + 73629420, + 52219185 + ], + [ + 1158517, + 56272828 + ], + [ + 54939010, + 21863729 + ], + [ + 50797637, + 34248784 + ], + [ + 40250659, + 606381 + ], + [ + 59691230, + 98357210 + ], + [ + 54357949, + 18304351 + ], + [ + 30802593, + 91054219 + ], + [ + 24049364, + 26360122 + ], + [ + 61099089, + 94382533 + ], + [ + 89531120, + 4275756 + ], + [ + 26521945, + 30114600 + ], + [ + 7420779, + 1789361 + ], + [ + 9770356, + 50084111 + ], + [ + 11078896, + 89050770 + ], + [ + 36149572, + 71988051 + ], + [ + 10598798, + 41380633 + ], + [ + 59503703, + 43836253 + ], + [ + 83015598, + 58590761 + ], + [ + 48904272, + 96088197 + ], + [ + 78636737, + 56087182 + ], + [ + 42205398, + 83351661 + ], + [ + 14119119, + 22815157 + ], + [ + 55997520, + 7996595 + ], + [ + 51023909, + 84390208 + ], + [ + 21249338, + 50966298 + ], + [ + 7437151, + 92106709 + ], + [ + 31378100, + 2431563 + ], + [ + 39277136, + 77279426 + ], + [ + 58747015, + 19619158 + ], + [ + 97819767, + 30451390 + ], + [ + 51195719, + 50717522 + ], + [ + 78604421, + 63453475 + ], + [ + 14582171, + 64656915 + ], + [ + 46390777, + 10483486 + ], + [ + 60693156, + 78871453 + ], + [ + 94179248, + 41544878 + ], + [ + 39710937, + 21813279 + ], + [ + 5044299, + 11776008 + ], + [ + 74544345, + 51167001 + ], + [ + 79866499, + 35060643 + ], + [ + 92881798, + 46739247 + ], + [ + 47962487, + 89385914 + ], + [ + 98207228, + 52335245 + ], + [ + 82565120, + 19264538 + ], + [ + 51465221, + 56343281 + ], + [ + 51345671, + 57799874 + ], + [ + 45102702, + 7954297 + ], + [ + 80102787, + 76235844 + ], + [ + 86580946, + 67308994 + ], + [ + 23688636, + 46441985 + ], + [ + 3997046, + 50200241 + ], + [ + 98561731, + 27255107 + ], + [ + 10826657, + 58981923 + ], + [ + 13417252, + 14925164 + ], + [ + 83415765, + 70213835 + ], + [ + 200301, + 73485319 + ], + [ + 41526873, + 46708299 + ], + [ + 26433932, + 90543445 + ], + [ + 48239706, + 90085268 + ], + [ + 42352474, + 74534640 + ], + [ + 3611499, + 41649809 + ], + [ + 6447047, + 48911639 + ], + [ + 67835071, + 99398505 + ], + [ + 85737286, + 24628942 + ], + [ + 39710050, + 94276010 + ], + [ + 44250826, + 43408318 + ], + [ + 191375, + 12198155 + ], + [ + 11155082, + 90017203 + ], + [ + 77805479, + 66583265 + ], + [ + 41759582, + 98111612 + ], + [ + 28659463, + 99605133 + ], + [ + 75776016, + 9795238 + ], + [ + 96591920, + 35581665 + ], + [ + 25103963, + 71982001 + ], + [ + 60239453, + 66918086 + ], + [ + 81652267, + 19834207 + ], + [ + 84368594, + 89177087 + ], + [ + 86786007, + 57911144 + ], + [ + 14938425, + 53353818 + ], + [ + 99358841, + 22705025 + ], + [ + 97935235, + 95772720 + ], + [ + 34794005, + 74096710 + ], + [ + 97739669, + 71506807 + ], + [ + 2917922, + 50570033 + ], + [ + 91159228, + 75284112 + ], + [ + 19760912, + 42541128 + ], + [ + 80896548, + 95814671 + ], + [ + 27657558, + 6233486 + ], + [ + 10828189, + 35606242 + ], + [ + 12314145, + 46531326 + ], + [ + 57882574, + 31198460 + ], + [ + 70080185, + 24083857 + ], + [ + 66015991, + 51977508 + ], + [ + 3469486, + 91817133 + ], + [ + 86026419, + 76688707 + ], + [ + 14512181, + 2070456 + ], + [ + 95165123, + 25390839 + ], + [ + 85554958, + 11627518 + ], + [ + 6722342, + 81423699 + ], + [ + 84241142, + 49308367 + ], + [ + 57177915, + 47990634 + ], + [ + 30595810, + 37723523 + ], + [ + 48750338, + 90072554 + ], + [ + 41190832, + 70307852 + ], + [ + 89145765, + 84331154 + ], + [ + 14718732, + 2411659 + ], + [ + 71799862, + 42724112 + ], + [ + 67864143, + 18469861 + ], + [ + 20449340, + 37016425 + ], + [ + 16600438, + 78559997 + ], + [ + 29586399, + 462308 + ], + [ + 57533436, + 4764410 + ], + [ + 13226856, + 26130373 + ], + [ + 89165064, + 3785904 + ], + [ + 40639794, + 61066577 + ], + [ + 46143370, + 75245267 + ], + [ + 70710094, + 45803027 + ], + [ + 67189928, + 62819891 + ], + [ + 57940383, + 45884180 + ], + [ + 33184935, + 76677432 + ], + [ + 94855672, + 96920633 + ], + [ + 22292100, + 6970464 + ], + [ + 27260057, + 59543089 + ], + [ + 31745930, + 32356222 + ], + [ + 38276457, + 8191284 + ], + [ + 60392666, + 97731039 + ], + [ + 81078749, + 56754939 + ], + [ + 79223323, + 11943370 + ], + [ + 20562671, + 35900418 + ], + [ + 33201164, + 1658191 + ], + [ + 26834676, + 97084661 + ], + [ + 54007141, + 63189417 + ], + [ + 89750841, + 5904455 + ], + [ + 97252595, + 60924022 + ], + [ + 13747017, + 50768422 + ], + [ + 3160598, + 12122473 + ], + [ + 82628466, + 32510176 + ], + [ + 72569594, + 3267746 + ], + [ + 92135949, + 37328226 + ], + [ + 42275676, + 52102479 + ], + [ + 38989944, + 36256459 + ], + [ + 73773425, + 29212631 + ], + [ + 14156831, + 52362619 + ], + [ + 98350307, + 93731110 + ], + [ + 97736265, + 37114377 + ], + [ + 51364340, + 21795428 + ], + [ + 82449348, + 18859308 + ], + [ + 26511108, + 80204249 + ], + [ + 11499381, + 17117829 + ], + [ + 43800541, + 21006748 + ], + [ + 46288702, + 47435673 + ], + [ + 42005462, + 57720197 + ], + [ + 63970922, + 6060546 + ], + [ + 85495239, + 90290974 + ], + [ + 85299567, + 28152919 + ], + [ + 28313094, + 26885462 + ], + [ + 76920030, + 87548242 + ], + [ + 31820460, + 33467813 + ], + [ + 24691867, + 3720422 + ], + [ + 92768422, + 10147888 + ], + [ + 39478524, + 66238709 + ], + [ + 84140509, + 32510287 + ], + [ + 45027234, + 60272102 + ], + [ + 51028658, + 62604180 + ], + [ + 85651877, + 87071884 + ], + [ + 48446606, + 37892647 + ], + [ + 29766912, + 19242584 + ], + [ + 3380712, + 61078126 + ], + [ + 19074324, + 35710389 + ], + [ + 16891730, + 52141359 + ], + [ + 97285592, + 61366006 + ], + [ + 69402150, + 90153731 + ], + [ + 99475323, + 14518626 + ], + [ + 50428747, + 43685775 + ], + [ + 37762419, + 77894072 + ], + [ + 25163767, + 8320174 + ], + [ + 38694525, + 36940153 + ], + [ + 47479433, + 27095763 + ], + [ + 81275117, + 27126441 + ], + [ + 17669233, + 27943957 + ], + [ + 33992618, + 10825068 + ], + [ + 20983747, + 33094094 + ], + [ + 14834740, + 36870090 + ], + [ + 76850387, + 78377072 + ], + [ + 86949909, + 76552456 + ], + [ + 11618488, + 11098532 + ], + [ + 88655929, + 94289036 + ], + [ + 33739873, + 98147642 + ], + [ + 61789614, + 16329666 + ], + [ + 28715661, + 32837516 + ], + [ + 68333253, + 45429918 + ], + [ + 64083369, + 12937860 + ], + [ + 42094393, + 73469878 + ], + [ + 39702383, + 50427177 + ], + [ + 63611561, + 57008069 + ], + [ + 3564898, + 15356980 + ], + [ + 54304795, + 18003719 + ], + [ + 35052714, + 72548445 + ], + [ + 3789403, + 73694342 + ], + [ + 8136206, + 85537512 + ], + [ + 55589507, + 19733775 + ], + [ + 9521243, + 60152650 + ], + [ + 192273, + 87072012 + ], + [ + 84809365, + 27509810 + ], + [ + 57465871, + 4891113 + ], + [ + 86952697, + 44687758 + ], + [ + 14050211, + 1792649 + ], + [ + 76921954, + 59128369 + ], + [ + 60848765, + 85712727 + ], + [ + 26079679, + 77926279 + ], + [ + 23429269, + 2843756 + ], + [ + 94955316, + 96834375 + ], + [ + 1747411, + 35608019 + ], + [ + 61085919, + 57610004 + ], + [ + 835822, + 32880216 + ], + [ + 71737538, + 41919481 + ], + [ + 45261214, + 19071548 + ], + [ + 33143242, + 76003584 + ], + [ + 42746144, + 92335487 + ], + [ + 96188168, + 30597975 + ], + [ + 10118957, + 83923076 + ], + [ + 45230833, + 62481542 + ], + [ + 17296504, + 44874614 + ], + [ + 92567254, + 38415856 + ], + [ + 93198058, + 70751175 + ], + [ + 50684314, + 45379771 + ], + [ + 57423075, + 58174702 + ], + [ + 43037713, + 89728911 + ], + [ + 63453808, + 29208794 + ], + [ + 71950429, + 95831711 + ], + [ + 69788875, + 91247307 + ], + [ + 62653075, + 52675767 + ], + [ + 64036370, + 65802970 + ], + [ + 61150796, + 96147564 + ], + [ + 27107856, + 53694985 + ], + [ + 56448907, + 89424159 + ], + [ + 34808968, + 22824833 + ], + [ + 75997189, + 39314530 + ], + [ + 99539061, + 68494836 + ], + [ + 76012268, + 3382917 + ], + [ + 55849514, + 48641441 + ], + [ + 65392500, + 89045455 + ], + [ + 19893500, + 78743730 + ], + [ + 92703503, + 58719334 + ], + [ + 3850553, + 28497170 + ], + [ + 50338582, + 94783227 + ], + [ + 77533960, + 11495025 + ], + [ + 8393188, + 97553108 + ], + [ + 60838715, + 3168641 + ], + [ + 86395332, + 17706418 + ], + [ + 34269091, + 46811519 + ], + [ + 89023132, + 41782543 + ], + [ + 50068924, + 51969790 + ], + [ + 65763716, + 66095412 + ], + [ + 65095280, + 3068073 + ], + [ + 77631057, + 22204331 + ], + [ + 73484925, + 8219386 + ], + [ + 40215281, + 38923229 + ], + [ + 48250476, + 97456092 + ], + [ + 58900682, + 87879708 + ], + [ + 24311289, + 16644521 + ], + [ + 35154586, + 50639849 + ], + [ + 54559214, + 44537152 + ], + [ + 27040780, + 86779967 + ], + [ + 23324819, + 92308580 + ], + [ + 18506807, + 35634259 + ], + [ + 63528784, + 40571879 + ], + [ + 33438409, + 32504864 + ], + [ + 40880960, + 35666559 + ], + [ + 67149487, + 67576421 + ], + [ + 98305196, + 81977354 + ], + [ + 47284567, + 38589350 + ], + [ + 42298524, + 8353777 + ], + [ + 48067444, + 24156991 + ], + [ + 93643667, + 47079286 + ], + [ + 79802403, + 51374848 + ], + [ + 67448718, + 72407274 + ], + [ + 61937542, + 96994751 + ], + [ + 12972142, + 9686304 + ], + [ + 66004521, + 3003314 + ], + [ + 86645803, + 89855444 + ], + [ + 42320594, + 66831307 + ], + [ + 95625165, + 98757845 + ], + [ + 7025538, + 15920698 + ], + [ + 59555575, + 15722737 + ], + [ + 83100011, + 46661376 + ], + [ + 83859285, + 26646477 + ], + [ + 62324743, + 41318716 + ], + [ + 5575149, + 15707321 + ], + [ + 94728898, + 54223078 + ], + [ + 14514887, + 78815311 + ], + [ + 5354207, + 4970924 + ], + [ + 37433802, + 97605528 + ], + [ + 56345451, + 77872504 + ], + [ + 56690751, + 74505126 + ], + [ + 62786828, + 86677726 + ], + [ + 88928793, + 54435539 + ], + [ + 36641287, + 67021487 + ], + [ + 15564021, + 56186871 + ], + [ + 91821040, + 64986245 + ], + [ + 68988952, + 47010463 + ], + [ + 45351548, + 4242848 + ], + [ + 50474950, + 56890465 + ], + [ + 55456225, + 48370633 + ], + [ + 46424185, + 3350231 + ], + [ + 35349466, + 84433725 + ], + [ + 66070035, + 39869711 + ], + [ + 63998869, + 77722755 + ], + [ + 43645383, + 72319778 + ], + [ + 74613372, + 89812458 + ], + [ + 74913561, + 59630232 + ], + [ + 12440044, + 22042194 + ], + [ + 54608500, + 57480255 + ], + [ + 34531412, + 98486054 + ], + [ + 52164164, + 96562886 + ], + [ + 89346678, + 23801990 + ], + [ + 8406963, + 58732973 + ], + [ + 87288739, + 97320183 + ], + [ + 59480250, + 60924382 + ], + [ + 46328941, + 76582792 + ], + [ + 64275837, + 26829847 + ], + [ + 93895702, + 26957981 + ], + [ + 28385846, + 12503723 + ], + [ + 86420948, + 11585281 + ], + [ + 83715239, + 43233241 + ], + [ + 42364883, + 87086252 + ], + [ + 85494139, + 69365759 + ], + [ + 17734265, + 60162546 + ], + [ + 45211200, + 44850231 + ], + [ + 72657383, + 18958965 + ], + [ + 58896855, + 35649230 + ], + [ + 93768828, + 30864141 + ], + [ + 92486688, + 50671240 + ], + [ + 4961957, + 43922452 + ], + [ + 80587618, + 35529330 + ], + [ + 29261967, + 93810052 + ], + [ + 10380087, + 67563941 + ], + [ + 69559726, + 55503504 + ], + [ + 34852513, + 89742216 + ], + [ + 24161920, + 28481401 + ], + [ + 40479501, + 10951148 + ], + [ + 60342363, + 4095468 + ], + [ + 46768224, + 82303604 + ], + [ + 17738094, + 17022247 + ], + [ + 27231645, + 71022130 + ], + [ + 54406172, + 96591970 + ], + [ + 96554537, + 39535214 + ], + [ + 49633398, + 35365661 + ], + [ + 36935194, + 79005728 + ], + [ + 75553642, + 48226292 + ], + [ + 42432684, + 31946835 + ], + [ + 20756402, + 51348822 + ], + [ + 35406347, + 67354296 + ], + [ + 94138818, + 66980715 + ], + [ + 97097115, + 14924342 + ], + [ + 23798582, + 90807346 + ], + [ + 4757005, + 56163443 + ], + [ + 69399676, + 54939347 + ], + [ + 32597324, + 59667555 + ], + [ + 83266984, + 22426241 + ], + [ + 29571465, + 37917405 + ], + [ + 4003329, + 70064277 + ], + [ + 22499149, + 97202474 + ], + [ + 96929849, + 76337480 + ], + [ + 52017372, + 42896215 + ], + [ + 6939894, + 24278531 + ], + [ + 78599008, + 73939463 + ], + [ + 52746577, + 22456783 + ], + [ + 46929217, + 87998075 + ], + [ + 64349612, + 21291524 + ], + [ + 20490142, + 7054678 + ], + [ + 80835790, + 6067340 + ], + [ + 12851862, + 25094029 + ], + [ + 78876612, + 81080406 + ], + [ + 89977027, + 32085164 + ], + [ + 62283765, + 80602660 + ], + [ + 51000348, + 28382131 + ], + [ + 26637786, + 92805647 + ], + [ + 13847207, + 91502030 + ], + [ + 30151432, + 16383361 + ], + [ + 90244739, + 99980602 + ], + [ + 80404561, + 39423245 + ], + [ + 4615718, + 26522556 + ], + [ + 68051191, + 71040309 + ], + [ + 58433608, + 28216172 + ], + [ + 78320158, + 80858883 + ], + [ + 56745981, + 24622187 + ], + [ + 89627489, + 15519008 + ], + [ + 15850746, + 28592929 + ], + [ + 39198129, + 14126026 + ], + [ + 97589015, + 19040 + ], + [ + 26370061, + 63177311 + ], + [ + 28320316, + 58926099 + ], + [ + 53960345, + 42158688 + ], + [ + 51985642, + 42375653 + ], + [ + 21548763, + 65494892 + ], + [ + 3811551, + 30500041 + ], + [ + 62814299, + 97034729 + ], + [ + 18258016, + 22960781 + ], + [ + 40830601, + 17876855 + ], + [ + 48682992, + 79363753 + ], + [ + 83813328, + 80526552 + ], + [ + 77298361, + 10187620 + ], + [ + 93310184, + 61080654 + ], + [ + 66241840, + 16792138 + ], + [ + 46838140, + 45566814 + ], + [ + 96044727, + 94506238 + ], + [ + 57919052, + 22173646 + ], + [ + 85065673, + 25202476 + ], + [ + 51281701, + 63013093 + ], + [ + 40543707, + 47618934 + ], + [ + 11195127, + 78296120 + ], + [ + 42497670, + 31388577 + ], + [ + 37278108, + 13590139 + ], + [ + 5116388, + 53525579 + ], + [ + 18465930, + 13322954 + ], + [ + 4753405, + 3050271 + ], + [ + 32302828, + 9560604 + ], + [ + 15528624, + 58763035 + ], + [ + 69063200, + 16920139 + ], + [ + 48031215, + 42833349 + ], + [ + 26262154, + 24064175 + ], + [ + 66187874, + 11102729 + ], + [ + 73563474, + 33123148 + ], + [ + 26789790, + 96500933 + ], + [ + 21096610, + 77551753 + ], + [ + 94447824, + 78449710 + ], + [ + 38236650, + 37774545 + ], + [ + 99673964, + 5006571 + ], + [ + 75574386, + 25097556 + ], + [ + 5060387, + 7019762 + ], + [ + 51861185, + 14055118 + ], + [ + 40719375, + 40922883 + ], + [ + 74824945, + 95414875 + ], + [ + 30548879, + 9552718 + ], + [ + 11410919, + 15303590 + ], + [ + 55878664, + 56947990 + ], + [ + 48847932, + 25721977 + ], + [ + 67155127, + 83423904 + ], + [ + 2758394, + 98379250 + ], + [ + 76546164, + 82394632 + ], + [ + 30072322, + 94687207 + ], + [ + 60391584, + 65732587 + ], + [ + 77849255, + 6445876 + ], + [ + 94158366, + 10064035 + ], + [ + 75186245, + 97007140 + ], + [ + 2351706, + 7795331 + ], + [ + 28562990, + 98666813 + ], + [ + 260977, + 9683607 + ], + [ + 89117669, + 39612366 + ], + [ + 63736595, + 92177170 + ], + [ + 93625774, + 89575756 + ], + [ + 12461216, + 35911480 + ], + [ + 43067781, + 38143273 + ], + [ + 72002762, + 15070417 + ], + [ + 74409298, + 94447286 + ], + [ + 63366269, + 70529009 + ], + [ + 13866361, + 47485173 + ], + [ + 19580939, + 13321711 + ], + [ + 77854248, + 61489032 + ], + [ + 51897810, + 96109686 + ], + [ + 99373596, + 42525716 + ], + [ + 19076328, + 43870145 + ], + [ + 68711861, + 25934627 + ], + [ + 84394229, + 59467380 + ], + [ + 32614889, + 91715686 + ], + [ + 49952579, + 86332174 + ], + [ + 96537325, + 47383478 + ], + [ + 76459980, + 89716590 + ], + [ + 41926821, + 82124870 + ], + [ + 85135077, + 57087681 + ], + [ + 78647966, + 70652574 + ], + [ + 78445852, + 56719392 + ], + [ + 3606224, + 82538397 + ], + [ + 35626646, + 61034812 + ], + [ + 4013210, + 96576820 + ], + [ + 66437215, + 13443619 + ], + [ + 54106944, + 29859899 + ], + [ + 9523736, + 87536911 + ], + [ + 83258906, + 48885135 + ], + [ + 67842493, + 36475045 + ], + [ + 91262186, + 6380946 + ], + [ + 37076039, + 20142390 + ], + [ + 90132126, + 84051609 + ], + [ + 31386255, + 36999624 + ], + [ + 59372761, + 80006177 + ], + [ + 26934818, + 6226272 + ], + [ + 11822183, + 58820071 + ], + [ + 93497866, + 79252578 + ], + [ + 5168442, + 9353789 + ], + [ + 44291430, + 51875129 + ], + [ + 81101133, + 31088272 + ], + [ + 56320965, + 86198567 + ], + [ + 71231483, + 11147844 + ], + [ + 21703450, + 31712017 + ], + [ + 11122486, + 49142894 + ], + [ + 48385536, + 68322544 + ], + [ + 54367833, + 23647166 + ], + [ + 27232062, + 28577956 + ], + [ + 72086150, + 95906325 + ], + [ + 78143795, + 33843420 + ], + [ + 28229708, + 21236165 + ], + [ + 80599592, + 4874131 + ], + [ + 79454591, + 49803403 + ], + [ + 65945145, + 47675547 + ], + [ + 39924527, + 88400746 + ], + [ + 14153770, + 75421973 + ], + [ + 304805, + 95824736 + ], + [ + 89240585, + 30552673 + ], + [ + 97046154, + 90920265 + ], + [ + 66560977, + 71104395 + ], + [ + 60022793, + 69519546 + ], + [ + 52728320, + 49210378 + ], + [ + 34104715, + 15722787 + ], + [ + 69270447, + 45887487 + ], + [ + 45223108, + 16536849 + ], + [ + 73347102, + 77680670 + ], + [ + 79765874, + 77187201 + ], + [ + 50218642, + 46101645 + ], + [ + 56109127, + 71036994 + ], + [ + 55955729, + 76479626 + ], + [ + 19767324, + 44031065 + ], + [ + 78269312, + 65821267 + ], + [ + 93005844, + 44231278 + ], + [ + 30104311, + 11777246 + ], + [ + 51418572, + 48985518 + ], + [ + 37449059, + 60597379 + ], + [ + 15826927, + 93473486 + ], + [ + 2129269, + 39646630 + ], + [ + 16890636, + 99815690 + ], + [ + 35878903, + 42787823 + ], + [ + 67798522, + 8175977 + ], + [ + 20119291, + 19469837 + ], + [ + 22291165, + 12003625 + ], + [ + 27689256, + 81590043 + ], + [ + 19704987, + 3199074 + ], + [ + 58707279, + 64230073 + ], + [ + 69002710, + 18298610 + ], + [ + 72066212, + 38690130 + ], + [ + 63171652, + 90798164 + ], + [ + 49182651, + 8306777 + ], + [ + 22646544, + 52155490 + ], + [ + 71776159, + 59862181 + ], + [ + 26738263, + 85239547 + ], + [ + 36409733, + 84423757 + ], + [ + 7814089, + 52907480 + ], + [ + 61226992, + 47244754 + ], + [ + 64970183, + 53258907 + ], + [ + 82487799, + 40997795 + ], + [ + 40395289, + 19728562 + ], + [ + 66966466, + 81106412 + ], + [ + 27501924, + 39599654 + ], + [ + 52204108, + 78882390 + ], + [ + 15827113, + 30864191 + ], + [ + 54010311, + 17762870 + ], + [ + 46446361, + 81943242 + ], + [ + 21964936, + 36227984 + ], + [ + 15690227, + 64061461 + ], + [ + 70676287, + 23876071 + ], + [ + 83868625, + 24911279 + ], + [ + 38319756, + 67397849 + ], + [ + 87953894, + 40616651 + ], + [ + 45752203, + 21523482 + ], + [ + 89732209, + 29509388 + ], + [ + 288735, + 21686013 + ], + [ + 34669691, + 90003447 + ], + [ + 7027143, + 59239401 + ], + [ + 99299395, + 33072346 + ], + [ + 33509354, + 92227223 + ], + [ + 71747917, + 27809262 + ], + [ + 65100274, + 22887753 + ], + [ + 45804164, + 10202535 + ], + [ + 30406018, + 38935478 + ], + [ + 7748736, + 19261989 + ], + [ + 97702610, + 31073623 + ], + [ + 80326556, + 8652378 + ], + [ + 91479482, + 87643486 + ], + [ + 49202389, + 31584803 + ], + [ + 5054940, + 48394922 + ], + [ + 69407526, + 43257120 + ], + [ + 32863149, + 95564699 + ], + [ + 97325120, + 21941645 + ], + [ + 84504983, + 42267979 + ], + [ + 79122278, + 14924270 + ], + [ + 69879963, + 87911460 + ], + [ + 92195912, + 80060805 + ], + [ + 17430232, + 94966197 + ], + [ + 49838817, + 51915635 + ], + [ + 4042615, + 20022584 + ], + [ + 72450621, + 6420381 + ], + [ + 56344365, + 14735620 + ], + [ + 58978041, + 60649489 + ], + [ + 8063382, + 15556350 + ], + [ + 90366312, + 92284304 + ], + [ + 92589461, + 5107400 + ], + [ + 26040837, + 66816396 + ], + [ + 66211293, + 60289952 + ], + [ + 10132231, + 20752884 + ], + [ + 56969205, + 5240279 + ], + [ + 90526986, + 74019149 + ], + [ + 94405349, + 27713639 + ], + [ + 78970055, + 10297325 + ], + [ + 4313248, + 24328560 + ], + [ + 10334105, + 14340330 + ], + [ + 97554073, + 36705512 + ], + [ + 17065922, + 7615561 + ], + [ + 37100101, + 93989527 + ], + [ + 69860859, + 84332712 + ], + [ + 6505641, + 74418535 + ], + [ + 71091492, + 1813680 + ], + [ + 39239843, + 80952977 + ], + [ + 12901775, + 77614827 + ], + [ + 59367916, + 47341885 + ], + [ + 25117378, + 29348672 + ], + [ + 33364268, + 20921268 + ], + [ + 47117213, + 44207867 + ], + [ + 43168467, + 74797610 + ], + [ + 7075497, + 42357145 + ], + [ + 45495127, + 59135646 + ], + [ + 1467094, + 37242699 + ], + [ + 93496563, + 47824096 + ], + [ + 83885148, + 31637707 + ], + [ + 97312431, + 93363195 + ], + [ + 77820743, + 71871418 + ], + [ + 4905009, + 33264644 + ], + [ + 2416418, + 60461628 + ], + [ + 80931007, + 38975168 + ], + [ + 6204252, + 65533453 + ], + [ + 96747956, + 33366254 + ], + [ + 49245125, + 62089974 + ], + [ + 93130021, + 45456272 + ], + [ + 40458999, + 48866570 + ], + [ + 90119691, + 61029663 + ], + [ + 36193135, + 51202591 + ], + [ + 76587116, + 15600939 + ], + [ + 87674847, + 48093998 + ], + [ + 33371091, + 77359233 + ], + [ + 41391403, + 73763913 + ], + [ + 7884126, + 22430698 + ], + [ + 40242152, + 68017848 + ], + [ + 10986007, + 73300112 + ], + [ + 85559593, + 15446052 + ], + [ + 83840113, + 31158513 + ], + [ + 99833346, + 7836723 + ], + [ + 19658930, + 90791826 + ], + [ + 13728016, + 37055861 + ], + [ + 60402665, + 19934092 + ], + [ + 68772045, + 96622621 + ], + [ + 52148023, + 82495713 + ], + [ + 72958667, + 80150649 + ], + [ + 67323094, + 34234918 + ], + [ + 63951152, + 63490143 + ], + [ + 38058070, + 8619705 + ], + [ + 60586347, + 34542901 + ], + [ + 35564375, + 69627238 + ], + [ + 71936978, + 82447632 + ], + [ + 4928418, + 19591557 + ], + [ + 11660727, + 89575707 + ], + [ + 50685394, + 59901267 + ], + [ + 15196479, + 95359854 + ], + [ + 64603390, + 56616323 + ], + [ + 82235608, + 29727839 + ], + [ + 62381334, + 64810884 + ], + [ + 99008992, + 41128185 + ], + [ + 51002017, + 8623385 + ], + [ + 71603416, + 41378549 + ], + [ + 78290177, + 92917635 + ], + [ + 46796566, + 99052926 + ], + [ + 51981257, + 21835178 + ], + [ + 7131788, + 94949959 + ], + [ + 77757466, + 98027672 + ], + [ + 22552882, + 26918897 + ], + [ + 91353470, + 72906932 + ], + [ + 61618428, + 35449829 + ], + [ + 7934331, + 8685304 + ], + [ + 20159138, + 55791005 + ], + [ + 48826972, + 67962092 + ], + [ + 73296624, + 79152823 + ], + [ + 40703833, + 85638067 + ], + [ + 99490243, + 83590974 + ], + [ + 39981246, + 23716771 + ], + [ + 30963064, + 98657849 + ], + [ + 49240614, + 73892749 + ], + [ + 73261635, + 42495009 + ], + [ + 38049710, + 7692825 + ], + [ + 14192593, + 13405726 + ], + [ + 36165383, + 48232537 + ], + [ + 53576825, + 83671628 + ], + [ + 35728297, + 35453139 + ], + [ + 51041524, + 80414599 + ], + [ + 8366667, + 30676012 + ], + [ + 48463378, + 39090204 + ], + [ + 87082463, + 66277882 + ], + [ + 73276310, + 26343484 + ], + [ + 41397127, + 14981115 + ], + [ + 84971142, + 49271626 + ], + [ + 85973004, + 16282063 + ], + [ + 60440231, + 92403299 + ], + [ + 49860250, + 73207347 + ], + [ + 87469196, + 47819992 + ], + [ + 35245604, + 76614738 + ], + [ + 40430167, + 89001342 + ], + [ + 31180281, + 10511545 + ], + [ + 30299529, + 3559929 + ], + [ + 14739985, + 98183134 + ], + [ + 51501681, + 45217885 + ], + [ + 50526342, + 44279941 + ], + [ + 36502257, + 75041362 + ], + [ + 62225294, + 93027962 + ], + [ + 44642273, + 14565575 + ], + [ + 18382259, + 16223234 + ], + [ + 79132122, + 79381616 + ], + [ + 80367865, + 40615439 + ], + [ + 34101462, + 31629437 + ], + [ + 64992721, + 83595638 + ], + [ + 9347518, + 99666176 + ], + [ + 86531804, + 1544051 + ], + [ + 47765828, + 79311219 + ], + [ + 21029618, + 32307177 + ], + [ + 94536234, + 65925537 + ], + [ + 89199213, + 5765571 + ], + [ + 33670654, + 45816524 + ], + [ + 16123123, + 73243564 + ], + [ + 49655891, + 35396624 + ], + [ + 3656523, + 45394908 + ], + [ + 82789977, + 84095544 + ], + [ + 37129556, + 99423709 + ], + [ + 76755007, + 59803046 + ], + [ + 37587848, + 90061046 + ], + [ + 77784314, + 83886630 + ], + [ + 51878420, + 71008505 + ], + [ + 80117162, + 16665631 + ], + [ + 85167565, + 74581524 + ], + [ + 6489164, + 3388087 + ], + [ + 25875979, + 80230895 + ], + [ + 76200310, + 18886451 + ], + [ + 62194013, + 66786957 + ], + [ + 70416812, + 18447743 + ], + [ + 12523043, + 80534113 + ], + [ + 92161237, + 77801423 + ], + [ + 68683856, + 6705762 + ], + [ + 28540698, + 29103995 + ], + [ + 51595402, + 66185379 + ], + [ + 99441443, + 38207018 + ], + [ + 89341459, + 99176310 + ], + [ + 40706125, + 52470113 + ], + [ + 10200091, + 27373822 + ], + [ + 85119733, + 10485709 + ], + [ + 1534316, + 16126248 + ], + [ + 7307432, + 70027514 + ], + [ + 10697923, + 96859341 + ], + [ + 65617109, + 45882310 + ], + [ + 57091882, + 31833493 + ], + [ + 78990266, + 95856091 + ], + [ + 12202182, + 57249461 + ], + [ + 41413020, + 46201272 + ], + [ + 28121415, + 27990838 + ], + [ + 18288516, + 79677824 + ], + [ + 9769490, + 48871296 + ], + [ + 82495475, + 29208729 + ], + [ + 25090953, + 68650372 + ], + [ + 84926656, + 94849717 + ], + [ + 61827797, + 72905528 + ], + [ + 67399340, + 82463971 + ], + [ + 52335913, + 49134086 + ], + [ + 41060098, + 91525366 + ], + [ + 58989354, + 79353100 + ], + [ + 2573158, + 9009080 + ], + [ + 4545000, + 27426334 + ], + [ + 466627, + 85887093 + ], + [ + 6891347, + 46085685 + ], + [ + 61286814, + 44518655 + ], + [ + 79320972, + 66264643 + ], + [ + 52261738, + 18384317 + ], + [ + 99592993, + 75169147 + ], + [ + 38064672, + 12256018 + ], + [ + 74500852, + 8202415 + ], + [ + 11603949, + 14949166 + ], + [ + 55956403, + 25337817 + ], + [ + 47954819, + 87886056 + ], + [ + 24629806, + 33703230 + ], + [ + 99653911, + 29672468 + ], + [ + 43405870, + 752463 + ], + [ + 4810862, + 97490169 + ], + [ + 44586134, + 22299556 + ], + [ + 55373463, + 35709798 + ], + [ + 77646231, + 9642250 + ], + [ + 71774049, + 51713646 + ], + [ + 31109402, + 57887852 + ], + [ + 99082062, + 97032663 + ], + [ + 39986783, + 84908593 + ], + [ + 34549871, + 55237981 + ], + [ + 40653885, + 54774462 + ], + [ + 15742835, + 34234057 + ], + [ + 59588956, + 56329466 + ], + [ + 62010300, + 70171762 + ], + [ + 31062429, + 28556621 + ], + [ + 17265934, + 74079032 + ], + [ + 25700490, + 84385976 + ], + [ + 29877067, + 74704837 + ], + [ + 3543287, + 17977053 + ], + [ + 89411675, + 13579639 + ], + [ + 858864, + 73461825 + ], + [ + 74861919, + 64900733 + ], + [ + 38501277, + 90359786 + ], + [ + 60234987, + 92803578 + ], + [ + 18495790, + 97920848 + ], + [ + 13618698, + 18509085 + ], + [ + 36920884, + 87083637 + ], + [ + 68010116, + 87182600 + ], + [ + 1562673, + 64779058 + ], + [ + 3709984, + 47106630 + ], + [ + 76589422, + 72767867 + ], + [ + 92799122, + 69989090 + ], + [ + 57015483, + 81704998 + ], + [ + 3596768, + 58935010 + ], + [ + 88705410, + 78861706 + ], + [ + 14497849, + 89643725 + ], + [ + 59412946, + 79046384 + ], + [ + 35887479, + 13121841 + ], + [ + 87158318, + 11642376 + ], + [ + 63779044, + 61626115 + ], + [ + 30548056, + 58950460 + ], + [ + 13633822, + 52267972 + ], + [ + 98630355, + 50274703 + ], + [ + 26719893, + 61277789 + ], + [ + 53836494, + 15272813 + ], + [ + 74375759, + 21456772 + ], + [ + 37612583, + 48668505 + ], + [ + 1291889, + 54965287 + ], + [ + 76696516, + 3745308 + ], + [ + 29660730, + 49180935 + ], + [ + 17943009, + 19189639 + ], + [ + 99610741, + 5196056 + ], + [ + 80949185, + 92410316 + ], + [ + 3821053, + 71969908 + ], + [ + 92222188, + 6233692 + ], + [ + 39986674, + 3764992 + ], + [ + 88282793, + 71468969 + ], + [ + 12791461, + 70205076 + ], + [ + 426086, + 96988154 + ], + [ + 9908934, + 31857548 + ], + [ + 60480149, + 38773715 + ], + [ + 50346951, + 39071347 + ], + [ + 12921621, + 31728446 + ], + [ + 68742755, + 75032842 + ], + [ + 67644148, + 76349515 + ], + [ + 49371492, + 90106704 + ], + [ + 95991139, + 3341552 + ], + [ + 30392160, + 98319656 + ], + [ + 83087247, + 27204545 + ], + [ + 82982264, + 29949390 + ], + [ + 50680881, + 80524361 + ], + [ + 60286255, + 18856170 + ], + [ + 48041675, + 28412633 + ], + [ + 31979813, + 85002189 + ], + [ + 23696163, + 71814618 + ], + [ + 72634245, + 16730780 + ], + [ + 93051362, + 57021883 + ], + [ + 4048370, + 41663384 + ], + [ + 72986881, + 81990175 + ], + [ + 78108539, + 66781358 + ], + [ + 15948078, + 73378338 + ], + [ + 4847792, + 49674567 + ], + [ + 84273514, + 49171514 + ], + [ + 86669155, + 89708817 + ], + [ + 68233478, + 49858431 + ], + [ + 15954472, + 11329203 + ], + [ + 8378397, + 24038419 + ], + [ + 73451716, + 48723582 + ], + [ + 82208456, + 67545996 + ], + [ + 77536196, + 84290002 + ], + [ + 24140986, + 4728419 + ], + [ + 94530501, + 26915031 + ], + [ + 81601370, + 85080738 + ], + [ + 15290855, + 63887754 + ], + [ + 36255122, + 12780077 + ], + [ + 6528261, + 63146091 + ], + [ + 27520859, + 199491 + ], + [ + 18339886, + 38201529 + ], + [ + 53161181, + 60060100 + ], + [ + 3114008, + 49448755 + ], + [ + 92909997, + 85191446 + ], + [ + 18901261, + 92793909 + ], + [ + 94554148, + 99013368 + ], + [ + 4821401, + 87090879 + ], + [ + 63673766, + 74992600 + ], + [ + 46878079, + 25007394 + ], + [ + 94337201, + 9721516 + ], + [ + 96214248, + 39518692 + ], + [ + 8453713, + 48682116 + ], + [ + 40894180, + 13008233 + ], + [ + 80852289, + 19929220 + ], + [ + 85372803, + 91399044 + ], + [ + 41320223, + 50601682 + ], + [ + 87031986, + 5171863 + ], + [ + 52827740, + 31440910 + ], + [ + 32977540, + 46174296 + ], + [ + 68641878, + 73620023 + ], + [ + 96972676, + 7591709 + ], + [ + 12288691, + 60309081 + ], + [ + 88759998, + 94209323 + ], + [ + 80114471, + 93327855 + ], + [ + 38741954, + 22552641 + ], + [ + 7621426, + 81490685 + ], + [ + 32894033, + 51106859 + ], + [ + 40220978, + 33256827 + ], + [ + 23006915, + 80443882 + ], + [ + 7208041, + 4975110 + ], + [ + 45104134, + 77237967 + ], + [ + 78671628, + 15423719 + ], + [ + 29688211, + 877436 + ], + [ + 19679374, + 50526834 + ], + [ + 93993503, + 26856348 + ], + [ + 61928950, + 3818357 + ], + [ + 57175513, + 38100358 + ], + [ + 46196616, + 69191335 + ], + [ + 9540938, + 76005907 + ], + [ + 86938767, + 46453832 + ], + [ + 58772522, + 89648360 + ], + [ + 66581008, + 14475309 + ], + [ + 24175169, + 85307362 + ], + [ + 85179937, + 23704282 + ], + [ + 26364436, + 70039807 + ], + [ + 52833037, + 79710508 + ], + [ + 60894285, + 1101715 + ], + [ + 24998355, + 24879979 + ], + [ + 20229204, + 62768421 + ], + [ + 36602562, + 99119860 + ], + [ + 80213201, + 24050019 + ], + [ + 78116680, + 18648469 + ], + [ + 66133111, + 59536460 + ], + [ + 8423771, + 21495712 + ], + [ + 64449527, + 21526904 + ], + [ + 50163788, + 59894731 + ], + [ + 89577001, + 37191018 + ], + [ + 11719951, + 39537705 + ], + [ + 66869073, + 5356574 + ], + [ + 97812444, + 9164663 + ], + [ + 65426140, + 93999006 + ], + [ + 56486697, + 13452389 + ], + [ + 91349266, + 53262908 + ], + [ + 57280401, + 81917387 + ], + [ + 84717547, + 60437701 + ], + [ + 65342858, + 89981671 + ], + [ + 14364093, + 47372924 + ], + [ + 80265276, + 48872268 + ], + [ + 90313186, + 72914015 + ], + [ + 68145252, + 81261335 + ], + [ + 89637626, + 19898515 + ], + [ + 9211160, + 53005580 + ], + [ + 38225501, + 26488451 + ], + [ + 70370165, + 7292138 + ], + [ + 22580125, + 72890417 + ], + [ + 89975795, + 89396376 + ], + [ + 80792501, + 92395952 + ], + [ + 47350583, + 68489051 + ], + [ + 71014514, + 99693586 + ], + [ + 92398955, + 57123642 + ], + [ + 21341487, + 35623222 + ], + [ + 25465974, + 35573067 + ], + [ + 17954322, + 56542954 + ], + [ + 91713697, + 83639307 + ], + [ + 21799729, + 68453287 + ], + [ + 8036192, + 62925987 + ], + [ + 18156359, + 47203876 + ], + [ + 84433421, + 57127731 + ], + [ + 41552862, + 94640542 + ], + [ + 42797269, + 67138858 + ], + [ + 71317221, + 18347984 + ], + [ + 79665382, + 23941325 + ], + [ + 61922804, + 26771654 + ], + [ + 34881061, + 49640142 + ], + [ + 36316397, + 97458661 + ], + [ + 48202028, + 76199750 + ], + [ + 5990530, + 39748737 + ], + [ + 79541408, + 46312939 + ], + [ + 37871760, + 83431763 + ], + [ + 85516445, + 55093154 + ], + [ + 63874303, + 61026172 + ], + [ + 40487904, + 38650654 + ], + [ + 34758717, + 53884534 + ], + [ + 28190857, + 55190605 + ], + [ + 48114651, + 95374395 + ], + [ + 1617648, + 93812204 + ], + [ + 85716624, + 6922429 + ], + [ + 61567090, + 69684479 + ], + [ + 12193426, + 11892376 + ], + [ + 19032354, + 35324960 + ], + [ + 2844209, + 46012405 + ], + [ + 24081362, + 75379829 + ], + [ + 76038399, + 61602216 + ], + [ + 1436835, + 48244090 + ], + [ + 39797457, + 3812300 + ], + [ + 46433368, + 95542740 + ], + [ + 21013934, + 63707100 + ], + [ + 99265231, + 30820452 + ], + [ + 4472338, + 110739 + ], + [ + 48089009, + 46820712 + ], + [ + 95337831, + 67026864 + ], + [ + 1800554, + 13788738 + ], + [ + 6659748, + 63545324 + ], + [ + 57810725, + 84180152 + ], + [ + 84368664, + 7123731 + ], + [ + 5038647, + 52479761 + ], + [ + 49761316, + 31079030 + ], + [ + 90442183, + 76839738 + ], + [ + 44743840, + 66664313 + ], + [ + 13553214, + 67095161 + ], + [ + 68376468, + 83886057 + ], + [ + 36213383, + 35674500 + ], + [ + 59973268, + 39479611 + ], + [ + 49300235, + 57671309 + ], + [ + 34810678, + 88612884 + ], + [ + 8899600, + 43784602 + ], + [ + 62270577, + 88545875 + ], + [ + 94482286, + 54301626 + ], + [ + 10669292, + 39004443 + ], + [ + 41116802, + 39537396 + ], + [ + 79556242, + 4091238 + ], + [ + 60445122, + 33476434 + ], + [ + 18581917, + 94946249 + ], + [ + 36582144, + 68215450 + ], + [ + 58526540, + 95549203 + ], + [ + 67564421, + 61104937 + ], + [ + 19689982, + 44822281 + ], + [ + 46940161, + 44751863 + ], + [ + 60046689, + 86308236 + ], + [ + 36118377, + 10414503 + ], + [ + 39312835, + 5757728 + ], + [ + 62438965, + 96691171 + ], + [ + 75571853, + 66493587 + ], + [ + 43735770, + 97978044 + ], + [ + 78963151, + 38740209 + ], + [ + 51712954, + 75028818 + ], + [ + 88032857, + 76662433 + ], + [ + 62600165, + 86087292 + ], + [ + 56063304, + 72542730 + ], + [ + 6307737, + 49591822 + ], + [ + 56282100, + 99212152 + ], + [ + 79655210, + 28586068 + ], + [ + 1991812, + 15621481 + ], + [ + 11507929, + 8503514 + ], + [ + 19043284, + 352798 + ], + [ + 85733458, + 98723936 + ], + [ + 94750327, + 50819430 + ], + [ + 25677569, + 16981788 + ], + [ + 27086574, + 70090833 + ], + [ + 60150629, + 74291442 + ], + [ + 85723235, + 11071016 + ], + [ + 77482435, + 27845326 + ], + [ + 70548209, + 45996197 + ], + [ + 84263586, + 6507783 + ], + [ + 72752649, + 68222879 + ], + [ + 37601577, + 23995944 + ], + [ + 96291886, + 38814989 + ], + [ + 98057747, + 50652330 + ], + [ + 63471925, + 74697550 + ], + [ + 39183446, + 60906418 + ], + [ + 27779401, + 77360814 + ], + [ + 89136026, + 29862261 + ], + [ + 28984891, + 16464947 + ], + [ + 51575429, + 72421049 + ], + [ + 27141278, + 58152125 + ], + [ + 40377474, + 59753663 + ], + [ + 73171716, + 20608984 + ], + [ + 75287651, + 31674541 + ], + [ + 87790066, + 52724189 + ], + [ + 70958353, + 7654072 + ], + [ + 86149340, + 29686332 + ], + [ + 39519758, + 66477408 + ], + [ + 8979961, + 42008260 + ], + [ + 41038147, + 41261170 + ], + [ + 21582875, + 5967311 + ], + [ + 55615875, + 36430823 + ], + [ + 28085572, + 92326041 + ], + [ + 50106004, + 19328983 + ], + [ + 5205673, + 99894918 + ], + [ + 57927120, + 15065036 + ], + [ + 11130524, + 74450179 + ], + [ + 86402425, + 96990817 + ], + [ + 69585943, + 40855373 + ], + [ + 20577814, + 1045745 + ], + [ + 575553, + 51148839 + ], + [ + 63991608, + 88947602 + ], + [ + 64648707, + 91484049 + ], + [ + 41332547, + 55675870 + ], + [ + 39134404, + 56131179 + ], + [ + 32030106, + 72632512 + ], + [ + 52635891, + 55654206 + ], + [ + 28191573, + 64047723 + ], + [ + 72319189, + 85835847 + ], + [ + 52937820, + 66535163 + ], + [ + 30805942, + 87094133 + ], + [ + 88524948, + 16571376 + ], + [ + 95004776, + 54475333 + ], + [ + 68539833, + 23283148 + ], + [ + 35663339, + 62646889 + ], + [ + 98389272, + 3460744 + ], + [ + 87588125, + 43931019 + ], + [ + 80298423, + 86011727 + ], + [ + 84375929, + 55863005 + ], + [ + 2677346, + 26995362 + ], + [ + 53963640, + 62327935 + ], + [ + 61528585, + 51110372 + ], + [ + 20899820, + 91068555 + ], + [ + 18768810, + 56907085 + ], + [ + 79149303, + 87049973 + ], + [ + 93680250, + 58413758 + ], + [ + 81841555, + 44486408 + ], + [ + 90646631, + 84280424 + ], + [ + 88962877, + 63957451 + ], + [ + 45339295, + 71998671 + ], + [ + 36421305, + 87419659 + ], + [ + 81742033, + 99478279 + ], + [ + 17952712, + 38363807 + ], + [ + 38605666, + 43865803 + ], + [ + 42371128, + 58032192 + ], + [ + 33935719, + 46738394 + ], + [ + 84214782, + 92809564 + ], + [ + 35683893, + 86226331 + ], + [ + 40911055, + 56963646 + ], + [ + 99248088, + 9221673 + ], + [ + 87262278, + 55018431 + ], + [ + 35437762, + 78063979 + ], + [ + 31079930, + 89147244 + ], + [ + 80887852, + 86777252 + ], + [ + 77317781, + 74081535 + ], + [ + 83835653, + 60169890 + ], + [ + 13398339, + 93195081 + ], + [ + 1889651, + 42769159 + ], + [ + 20714696, + 28831196 + ], + [ + 56819320, + 21217966 + ], + [ + 29856031, + 46149045 + ], + [ + 97524186, + 76039804 + ], + [ + 18154486, + 7826252 + ], + [ + 12477166, + 28127861 + ], + [ + 41669570, + 40919281 + ], + [ + 69125044, + 98867242 + ], + [ + 5738606, + 10857361 + ], + [ + 39564957, + 70259047 + ], + [ + 29990144, + 32935001 + ], + [ + 17148407, + 39272547 + ], + [ + 65395567, + 67618802 + ], + [ + 73617706, + 41520899 + ], + [ + 10836844, + 68334815 + ], + [ + 32504710, + 98750435 + ], + [ + 11823491, + 98574543 + ], + [ + 20551758, + 79341265 + ], + [ + 14225288, + 49447772 + ], + [ + 29870729, + 21159396 + ], + [ + 97658950, + 6945615 + ], + [ + 84408767, + 94747351 + ], + [ + 85651235, + 16782120 + ], + [ + 2729161, + 88860423 + ], + [ + 14726787, + 54806111 + ], + [ + 36834549, + 68286735 + ], + [ + 27557341, + 37776187 + ], + [ + 62501808, + 80602250 + ], + [ + 22147559, + 89082086 + ], + [ + 63013614, + 8260221 + ], + [ + 32615484, + 82013580 + ], + [ + 92042343, + 86089070 + ], + [ + 32802515, + 84663150 + ], + [ + 25386696, + 4953967 + ], + [ + 88750749, + 69947246 + ], + [ + 71108001, + 63277111 + ], + [ + 89883300, + 22328387 + ], + [ + 98538175, + 73302403 + ], + [ + 76674115, + 45496502 + ], + [ + 13915770, + 58324164 + ], + [ + 16236083, + 53706472 + ], + [ + 39317769, + 6939818 + ], + [ + 1135921, + 38109208 + ], + [ + 54305413, + 67950162 + ], + [ + 95035180, + 21405253 + ], + [ + 63892041, + 15712568 + ], + [ + 96993066, + 40272928 + ], + [ + 5082961, + 86523537 + ], + [ + 12946858, + 91215689 + ], + [ + 73792022, + 65030776 + ], + [ + 70141921, + 99050019 + ], + [ + 79837453, + 50169677 + ], + [ + 60901592, + 88801313 + ], + [ + 51974708, + 47415459 + ], + [ + 71501311, + 48359175 + ], + [ + 90983075, + 34395579 + ], + [ + 4619225, + 85500113 + ], + [ + 19292612, + 11215611 + ], + [ + 17559885, + 73458087 + ], + [ + 16672841, + 3182050 + ], + [ + 84763888, + 6832821 + ], + [ + 10495504, + 7495087 + ], + [ + 8362203, + 34601300 + ], + [ + 66386795, + 18621092 + ], + [ + 81863307, + 85247481 + ], + [ + 72523446, + 35770316 + ], + [ + 3814586, + 14866887 + ], + [ + 86532220, + 98262810 + ], + [ + 62040783, + 9324640 + ], + [ + 11226628, + 87291833 + ], + [ + 63906953, + 67652442 + ], + [ + 50466580, + 52608765 + ], + [ + 20202070, + 93842267 + ], + [ + 93850595, + 56780260 + ], + [ + 49230413, + 31258564 + ], + [ + 73055653, + 23578216 + ], + [ + 49086468, + 10787287 + ], + [ + 27286717, + 14798294 + ], + [ + 95271183, + 78015182 + ], + [ + 86559135, + 86637289 + ], + [ + 70038337, + 29225999 + ], + [ + 36067547, + 85975314 + ], + [ + 4149601, + 40324120 + ], + [ + 13790507, + 49631677 + ], + [ + 28201263, + 65807497 + ], + [ + 62689507, + 6742943 + ], + [ + 25939116, + 10304251 + ], + [ + 79182589, + 11788407 + ], + [ + 31782295, + 21966506 + ], + [ + 59914629, + 52745386 + ], + [ + 82593066, + 98713994 + ], + [ + 26460640, + 91662662 + ], + [ + 44860185, + 44735804 + ], + [ + 82512270, + 15468890 + ], + [ + 14576515, + 79731742 + ], + [ + 53818660, + 17881315 + ], + [ + 82883835, + 43656085 + ], + [ + 12299118, + 39824099 + ], + [ + 45120339, + 48268669 + ], + [ + 10644573, + 41530670 + ], + [ + 78286299, + 47362102 + ], + [ + 54242321, + 86155243 + ], + [ + 12827056, + 80351781 + ], + [ + 9787345, + 10125199 + ], + [ + 86484332, + 78521735 + ], + [ + 61392524, + 19665787 + ], + [ + 91352934, + 29034480 + ], + [ + 72999812, + 43515034 + ], + [ + 68210547, + 58671033 + ], + [ + 97777469, + 41439347 + ], + [ + 95781081, + 76462529 + ], + [ + 28388290, + 23956073 + ], + [ + 69955095, + 2643251 + ], + [ + 14903076, + 46000516 + ], + [ + 68564432, + 2396043 + ], + [ + 16806358, + 25647722 + ], + [ + 95762322, + 7440455 + ], + [ + 75246107, + 40393715 + ], + [ + 46852785, + 99242051 + ], + [ + 17985605, + 51010545 + ], + [ + 71600674, + 24596692 + ], + [ + 99673193, + 43507947 + ], + [ + 43731870, + 54401871 + ], + [ + 84235677, + 59877690 + ], + [ + 39182528, + 67713932 + ], + [ + 73883164, + 38540865 + ], + [ + 56271957, + 56598678 + ], + [ + 37994033, + 29884863 + ], + [ + 70152623, + 38899099 + ], + [ + 62655684, + 31473730 + ], + [ + 87229005, + 94426935 + ], + [ + 23089433, + 11039604 + ], + [ + 51657788, + 67412368 + ], + [ + 95636582, + 92026296 + ], + [ + 739270, + 91421179 + ], + [ + 18277413, + 57439054 + ], + [ + 21479973, + 56780547 + ], + [ + 14826305, + 40929237 + ], + [ + 99030393, + 24289625 + ], + [ + 6424084, + 43085783 + ], + [ + 84182106, + 93146660 + ], + [ + 52908928, + 33128971 + ], + [ + 563379, + 77150368 + ], + [ + 15910936, + 54344833 + ], + [ + 28527145, + 71999234 + ], + [ + 58235734, + 30045046 + ], + [ + 15368959, + 55618838 + ], + [ + 23731401, + 15809562 + ], + [ + 84568448, + 94358224 + ], + [ + 52310434, + 14396170 + ], + [ + 12866270, + 85161227 + ], + [ + 8147294, + 27100907 + ], + [ + 14644697, + 12988308 + ], + [ + 86814886, + 56328523 + ], + [ + 96062616, + 33000288 + ], + [ + 43492, + 42872288 + ], + [ + 1308735, + 19582708 + ], + [ + 73226365, + 82013458 + ], + [ + 42877398, + 47155284 + ], + [ + 61131995, + 91573961 + ], + [ + 5368175, + 49775244 + ], + [ + 83541579, + 95216171 + ], + [ + 25996376, + 97299460 + ], + [ + 60472736, + 25745035 + ], + [ + 36559715, + 135658 + ], + [ + 27034023, + 2529021 + ], + [ + 15574043, + 9814163 + ], + [ + 95685288, + 33877003 + ], + [ + 6488726, + 72863127 + ], + [ + 86611787, + 61625491 + ], + [ + 72160841, + 9591825 + ], + [ + 94241578, + 56306536 + ], + [ + 14515557, + 11355633 + ], + [ + 79835652, + 69567738 + ], + [ + 32347551, + 4447834 + ], + [ + 99852356, + 45256899 + ], + [ + 3592061, + 8733379 + ], + [ + 88285568, + 50303272 + ], + [ + 82222435, + 47002200 + ], + [ + 49435901, + 52385753 + ], + [ + 57197360, + 43406064 + ], + [ + 83658077, + 81270679 + ], + [ + 43611326, + 24173566 + ], + [ + 80890701, + 44364474 + ], + [ + 31578042, + 32327020 + ], + [ + 84797354, + 68790099 + ], + [ + 98844546, + 82215607 + ], + [ + 13133143, + 28347278 + ], + [ + 47607792, + 14586865 + ], + [ + 13203654, + 20805928 + ], + [ + 65810052, + 41564721 + ], + [ + 27340970, + 31292345 + ], + [ + 58577100, + 71996387 + ], + [ + 45044340, + 33803146 + ], + [ + 51495212, + 73659916 + ], + [ + 68337353, + 80157551 + ], + [ + 2364858, + 61803851 + ], + [ + 60481076, + 37711586 + ], + [ + 65755965, + 12512426 + ], + [ + 54465368, + 45159482 + ], + [ + 35143574, + 52675585 + ], + [ + 48284302, + 59486475 + ], + [ + 63142528, + 78569195 + ], + [ + 49509356, + 42040314 + ], + [ + 6321649, + 91693418 + ], + [ + 7721387, + 63342487 + ], + [ + 39472802, + 9281244 + ], + [ + 11771698, + 17534850 + ], + [ + 66463702, + 30368735 + ], + [ + 83643831, + 55619523 + ], + [ + 28779109, + 30408485 + ], + [ + 31559581, + 25435653 + ], + [ + 30613955, + 26970523 + ], + [ + 18043938, + 80546540 + ], + [ + 6242657, + 61889906 + ], + [ + 30138115, + 33774578 + ], + [ + 76842749, + 64858786 + ], + [ + 95137497, + 58268840 + ], + [ + 11458469, + 43364523 + ], + [ + 96346362, + 56106812 + ], + [ + 3310966, + 36176060 + ], + [ + 58408793, + 8978137 + ], + [ + 87582500, + 5194245 + ], + [ + 77252815, + 94115123 + ], + [ + 88393064, + 80908505 + ], + [ + 56671528, + 64846875 + ], + [ + 99721155, + 47450250 + ], + [ + 83487755, + 96040373 + ], + [ + 22344221, + 93839515 + ], + [ + 17645683, + 94789064 + ], + [ + 19913233, + 38798731 + ], + [ + 39806831, + 56763109 + ], + [ + 39813349, + 48707042 + ], + [ + 23837223, + 57295948 + ], + [ + 3708646, + 6506097 + ], + [ + 56949719, + 68290449 + ], + [ + 87820078, + 98916745 + ], + [ + 53730852, + 41689466 + ], + [ + 32702683, + 12918337 + ], + [ + 53242307, + 29599474 + ], + [ + 17813243, + 54939219 + ], + [ + 15306800, + 5666487 + ], + [ + 88886587, + 20633966 + ], + [ + 2533846, + 84082836 + ], + [ + 84376846, + 35875736 + ], + [ + 53171133, + 30583247 + ], + [ + 99705135, + 41579921 + ], + [ + 20873868, + 32501162 + ], + [ + 89491389, + 3426509 + ], + [ + 36881710, + 34105808 + ], + [ + 24051547, + 23708663 + ], + [ + 42528077, + 33628909 + ], + [ + 86470796, + 50658109 + ], + [ + 89182704, + 52753316 + ], + [ + 42905344, + 11917150 + ], + [ + 12050717, + 62570244 + ], + [ + 58769996, + 89626893 + ], + [ + 61171190, + 93897308 + ], + [ + 90560646, + 90298438 + ], + [ + 39181739, + 35167782 + ], + [ + 38917778, + 64218802 + ], + [ + 70756562, + 92760405 + ], + [ + 56442860, + 17873597 + ], + [ + 59313420, + 25661344 + ], + [ + 87037097, + 1679844 + ], + [ + 64911803, + 60475211 + ], + [ + 84975036, + 31631277 + ], + [ + 65435773, + 90799470 + ], + [ + 83342578, + 96807167 + ], + [ + 12959029, + 73511548 + ], + [ + 19200888, + 98987396 + ], + [ + 88569214, + 75434633 + ], + [ + 28569235, + 32181759 + ], + [ + 16307707, + 25135731 + ], + [ + 83942488, + 86239311 + ], + [ + 73173445, + 77058214 + ], + [ + 96843939, + 31377924 + ], + [ + 26689784, + 26553582 + ], + [ + 20098093, + 67883700 + ], + [ + 96344440, + 29129955 + ], + [ + 54579673, + 58244809 + ], + [ + 54494440, + 55950807 + ], + [ + 96752265, + 11009651 + ], + [ + 41620028, + 19358841 + ], + [ + 52173155, + 1745367 + ], + [ + 89371183, + 91753858 + ], + [ + 49680068, + 33024331 + ], + [ + 68469257, + 98333435 + ], + [ + 34965291, + 46037156 + ], + [ + 40365298, + 51248008 + ], + [ + 76781542, + 76741956 + ], + [ + 26734975, + 15920882 + ], + [ + 46013256, + 50502886 + ], + [ + 25221871, + 28315373 + ], + [ + 30167908, + 44758601 + ], + [ + 14442997, + 73542810 + ], + [ + 70474333, + 14904535 + ], + [ + 40221549, + 46998659 + ], + [ + 11576994, + 24116688 + ], + [ + 53185262, + 99483033 + ], + [ + 79358437, + 96547013 + ], + [ + 87805862, + 76746093 + ], + [ + 51561161, + 4743931 + ], + [ + 92179795, + 40201588 + ], + [ + 73760106, + 81805484 + ], + [ + 99445159, + 36338670 + ], + [ + 88319942, + 8671090 + ], + [ + 50735806, + 74707148 + ], + [ + 45102661, + 24790435 + ], + [ + 60381250, + 78118086 + ], + [ + 62786196, + 48953283 + ], + [ + 28825992, + 73784193 + ], + [ + 60431855, + 25987743 + ], + [ + 40669724, + 19878703 + ], + [ + 48045449, + 78377431 + ], + [ + 49737340, + 77050116 + ], + [ + 43300084, + 14197178 + ], + [ + 93950771, + 86166767 + ], + [ + 93432786, + 83443784 + ], + [ + 80755705, + 52596860 + ], + [ + 94939630, + 66906847 + ], + [ + 37778630, + 32666275 + ], + [ + 89004093, + 4022760 + ], + [ + 44307597, + 22866759 + ], + [ + 45993876, + 69452608 + ], + [ + 2711909, + 27596040 + ], + [ + 6404134, + 90605103 + ], + [ + 69381355, + 31439189 + ], + [ + 25861247, + 552545 + ], + [ + 94146508, + 82951885 + ], + [ + 97654699, + 53092731 + ], + [ + 35208626, + 62504675 + ], + [ + 48536134, + 49148543 + ], + [ + 51600681, + 90235362 + ], + [ + 61095206, + 94204077 + ], + [ + 15067199, + 81707747 + ], + [ + 60889752, + 81987496 + ], + [ + 75390080, + 32340345 + ], + [ + 84205018, + 4296274 + ], + [ + 54182908, + 91722328 + ], + [ + 33128549, + 74994898 + ], + [ + 59201961, + 20320438 + ], + [ + 56082240, + 84670138 + ], + [ + 17687426, + 99238123 + ], + [ + 98370247, + 41537952 + ], + [ + 18984659, + 42028665 + ], + [ + 74624472, + 46807387 + ], + [ + 50015167, + 44769733 + ], + [ + 73343540, + 88677535 + ], + [ + 82643581, + 1966307 + ], + [ + 74082553, + 7841354 + ], + [ + 20172989, + 8221316 + ], + [ + 50989501, + 45821903 + ], + [ + 52136313, + 77825862 + ], + [ + 96380673, + 33392252 + ], + [ + 22778822, + 9319433 + ], + [ + 23476808, + 10386787 + ], + [ + 2673447, + 22255457 + ], + [ + 16844999, + 22623784 + ], + [ + 52488897, + 42662464 + ], + [ + 49771971, + 50444224 + ], + [ + 39512876, + 94888222 + ], + [ + 97479960, + 63944813 + ], + [ + 83369207, + 31839391 + ], + [ + 99583027, + 59926635 + ], + [ + 2220139, + 77407660 + ], + [ + 18807584, + 38250041 + ], + [ + 95190815, + 80862661 + ], + [ + 38839156, + 16573560 + ], + [ + 64041933, + 5244903 + ], + [ + 17345809, + 3764936 + ], + [ + 38225875, + 71550987 + ], + [ + 92020728, + 69147500 + ], + [ + 36029263, + 35918725 + ], + [ + 93125146, + 99491290 + ], + [ + 12485007, + 90584914 + ], + [ + 4793799, + 19089190 + ], + [ + 44674282, + 24559383 + ], + [ + 30385073, + 27828464 + ], + [ + 39061916, + 96886080 + ], + [ + 71182795, + 33823968 + ], + [ + 28413592, + 77625521 + ], + [ + 87889438, + 78210107 + ], + [ + 40678764, + 17582870 + ], + [ + 99372635, + 74523337 + ], + [ + 96526608, + 40134059 + ], + [ + 28057140, + 39590543 + ], + [ + 41086258, + 9311990 + ], + [ + 14356304, + 82782123 + ], + [ + 74966541, + 84494058 + ], + [ + 46290743, + 26088544 + ], + [ + 76654, + 41562935 + ], + [ + 5321745, + 87715563 + ], + [ + 17868688, + 21101792 + ], + [ + 93372198, + 71476327 + ], + [ + 17102831, + 98354792 + ], + [ + 91781719, + 2000730 + ], + [ + 37101310, + 35777661 + ], + [ + 81051758, + 50838331 + ], + [ + 3177089, + 72918236 + ], + [ + 8858402, + 76625407 + ], + [ + 66697096, + 7102428 + ], + [ + 62146302, + 7870834 + ], + [ + 64053144, + 77746635 + ], + [ + 79242343, + 60443596 + ], + [ + 38684875, + 16438752 + ], + [ + 70898233, + 18208934 + ], + [ + 662600, + 36600352 + ], + [ + 35735374, + 94942225 + ], + [ + 52460428, + 10079666 + ], + [ + 10780677, + 17189257 + ], + [ + 46557178, + 55267936 + ], + [ + 38707762, + 15136746 + ], + [ + 68725017, + 38426131 + ], + [ + 25167922, + 16019017 + ], + [ + 38317760, + 38345706 + ], + [ + 28423525, + 30266824 + ], + [ + 33285545, + 99138860 + ], + [ + 84520564, + 41444492 + ], + [ + 31850825, + 48295190 + ], + [ + 63717765, + 25488278 + ], + [ + 80231292, + 94994702 + ], + [ + 30165106, + 42576314 + ], + [ + 23810523, + 40230323 + ], + [ + 83641086, + 38098103 + ], + [ + 66678719, + 69231266 + ], + [ + 43065342, + 15570081 + ], + [ + 88719574, + 79022922 + ], + [ + 14522450, + 51550200 + ], + [ + 85293291, + 25206392 + ], + [ + 92001645, + 48671918 + ], + [ + 39697024, + 2938925 + ], + [ + 791648, + 91770582 + ], + [ + 83914007, + 27327319 + ], + [ + 95677798, + 39375375 + ], + [ + 67236332, + 44738874 + ], + [ + 3755700, + 28940680 + ], + [ + 33938509, + 50190361 + ], + [ + 37099120, + 76789373 + ], + [ + 97192900, + 94194465 + ], + [ + 85338604, + 40985190 + ], + [ + 83277693, + 28194128 + ], + [ + 19692547, + 27049216 + ], + [ + 74838819, + 52586896 + ], + [ + 28443307, + 16355263 + ], + [ + 28427678, + 73676331 + ], + [ + 17553102, + 6508156 + ], + [ + 28323499, + 88769193 + ], + [ + 15097861, + 75598371 + ], + [ + 50977197, + 22255418 + ], + [ + 23739206, + 35441974 + ], + [ + 66295896, + 52210833 + ], + [ + 10193018, + 60352954 + ], + [ + 99329374, + 41630637 + ], + [ + 22974482, + 83330855 + ], + [ + 64171669, + 45419480 + ], + [ + 4487169, + 21572728 + ], + [ + 13647021, + 50134291 + ], + [ + 83451049, + 42376452 + ], + [ + 99795434, + 41678512 + ], + [ + 75933719, + 44428967 + ], + [ + 55462049, + 74970254 + ], + [ + 21583950, + 40971747 + ], + [ + 21382706, + 14486723 + ], + [ + 30347493, + 45655997 + ], + [ + 20279165, + 85271818 + ], + [ + 55021480, + 20394538 + ], + [ + 83417845, + 74405409 + ], + [ + 91062784, + 90339901 + ], + [ + 36267198, + 79747817 + ], + [ + 49333447, + 36404246 + ], + [ + 84528187, + 28622996 + ], + [ + 52059967, + 23259958 + ], + [ + 32776577, + 38834493 + ], + [ + 59053287, + 8290404 + ], + [ + 69661341, + 39890874 + ], + [ + 30266987, + 72826333 + ], + [ + 72177312, + 64524523 + ], + [ + 7147276, + 56422851 + ], + [ + 7505509, + 44520039 + ], + [ + 76522951, + 25710981 + ], + [ + 79410999, + 82215553 + ], + [ + 72102733, + 19307368 + ], + [ + 99371884, + 25174534 + ], + [ + 98279395, + 63568581 + ], + [ + 78100563, + 80120863 + ], + [ + 90249861, + 19268482 + ], + [ + 54204369, + 80176908 + ], + [ + 17434063, + 63824953 + ], + [ + 4480075, + 56140758 + ], + [ + 6254124, + 84947530 + ], + [ + 9769431, + 33024217 + ], + [ + 76797988, + 10269619 + ], + [ + 68421212, + 47010458 + ], + [ + 43751728, + 83333963 + ], + [ + 30014592, + 25800195 + ], + [ + 33868569, + 55847304 + ], + [ + 27740771, + 97358788 + ], + [ + 86998487, + 32129980 + ], + [ + 18759021, + 68250359 + ], + [ + 38385570, + 18620353 + ], + [ + 17080727, + 63742867 + ], + [ + 33265602, + 69641264 + ], + [ + 80410715, + 27516212 + ], + [ + 22843842, + 51593332 + ], + [ + 33959106, + 73757200 + ], + [ + 24726323, + 9966201 + ], + [ + 4988848, + 85157838 + ], + [ + 78589705, + 98598497 + ], + [ + 93925264, + 96942082 + ], + [ + 93912612, + 71154816 + ], + [ + 45481741, + 23877142 + ], + [ + 78503625, + 79229254 + ], + [ + 47160510, + 21906417 + ], + [ + 39966024, + 60086738 + ], + [ + 93523525, + 18025839 + ], + [ + 71268333, + 79374915 + ], + [ + 84163693, + 37168655 + ], + [ + 83269096, + 52236990 + ], + [ + 97543871, + 27678265 + ], + [ + 16754742, + 60479718 + ], + [ + 86809332, + 31669938 + ], + [ + 14734194, + 64757159 + ], + [ + 77157701, + 92612451 + ], + [ + 15349326, + 16983825 + ], + [ + 98150703, + 77329116 + ], + [ + 18125879, + 70533449 + ], + [ + 45661304, + 13176522 + ], + [ + 71794295, + 69482615 + ], + [ + 60060308, + 27730408 + ], + [ + 41328454, + 10627463 + ], + [ + 29337129, + 86831046 + ], + [ + 44174736, + 44969344 + ], + [ + 20804475, + 3232586 + ], + [ + 19002052, + 56252238 + ], + [ + 26884948, + 38288581 + ], + [ + 30356033, + 64309860 + ], + [ + 34635944, + 89114473 + ], + [ + 54260110, + 6269214 + ], + [ + 54963665, + 69575204 + ], + [ + 87957883, + 16644694 + ], + [ + 75410821, + 21652094 + ], + [ + 69204781, + 43968249 + ], + [ + 99921771, + 73246265 + ], + [ + 47485123, + 81291618 + ], + [ + 56786665, + 21747587 + ], + [ + 75198281, + 46914818 + ], + [ + 74350635, + 2110729 + ], + [ + 27734777, + 32952663 + ], + [ + 83886023, + 67294353 + ], + [ + 76660021, + 48602287 + ], + [ + 79624297, + 90770322 + ], + [ + 2722871, + 93272774 + ], + [ + 51048272, + 73238705 + ], + [ + 66165219, + 58745904 + ], + [ + 27771142, + 62841134 + ], + [ + 96733520, + 11779085 + ], + [ + 95771173, + 58034233 + ], + [ + 14093014, + 44292579 + ], + [ + 91138804, + 56170701 + ], + [ + 9189893, + 53913554 + ], + [ + 93437964, + 23337794 + ], + [ + 58094393, + 53537387 + ], + [ + 71628527, + 61589953 + ], + [ + 42630450, + 60222671 + ], + [ + 71575511, + 38521964 + ], + [ + 55918312, + 72237178 + ], + [ + 42582554, + 57778872 + ], + [ + 45449108, + 12842996 + ], + [ + 46455490, + 56200899 + ], + [ + 876650, + 54228135 + ], + [ + 13267117, + 48595645 + ], + [ + 22144283, + 94579518 + ], + [ + 15677422, + 41717965 + ], + [ + 81991766, + 49288010 + ], + [ + 1792366, + 91797640 + ], + [ + 44251210, + 83965317 + ], + [ + 85304493, + 735349 + ], + [ + 55383414, + 66092244 + ], + [ + 85972836, + 67007695 + ], + [ + 21410800, + 44975412 + ], + [ + 5727092, + 80604015 + ], + [ + 81588722, + 26552332 + ], + [ + 4458675, + 29931392 + ], + [ + 72104285, + 91416346 + ], + [ + 90339118, + 48392208 + ], + [ + 89659435, + 28078037 + ], + [ + 13462258, + 39660197 + ], + [ + 23164283, + 12229462 + ], + [ + 13474450, + 78643254 + ], + [ + 91630349, + 47814499 + ], + [ + 14509615, + 67881726 + ], + [ + 8724799, + 42648628 + ], + [ + 23364117, + 66023251 + ], + [ + 40133394, + 86664958 + ], + [ + 76597735, + 75401022 + ], + [ + 23969213, + 41403309 + ], + [ + 46744604, + 88608335 + ], + [ + 65286080, + 66754958 + ], + [ + 66684993, + 34258167 + ], + [ + 62105974, + 56203207 + ], + [ + 76999649, + 58976267 + ], + [ + 32474988, + 29094847 + ], + [ + 53272934, + 51577556 + ], + [ + 76038115, + 92150597 + ], + [ + 69702570, + 24237151 + ], + [ + 8259072, + 84008424 + ], + [ + 64308850, + 50390121 + ], + [ + 33242155, + 80175904 + ], + [ + 59004709, + 17300864 + ], + [ + 55986816, + 9995567 + ], + [ + 54302902, + 21901848 + ], + [ + 33313457, + 66764974 + ], + [ + 53969380, + 54601637 + ], + [ + 96889593, + 2809824 + ], + [ + 523586, + 27033164 + ], + [ + 45309781, + 12071198 + ], + [ + 34430123, + 76197329 + ], + [ + 46363548, + 63573044 + ], + [ + 34827834, + 57632563 + ], + [ + 26454635, + 68646864 + ], + [ + 83987890, + 99678609 + ], + [ + 21825002, + 2927970 + ], + [ + 6699685, + 98603001 + ], + [ + 54531568, + 94389023 + ], + [ + 55736806, + 14954286 + ], + [ + 38034542, + 97253032 + ], + [ + 94323226, + 28940743 + ], + [ + 75001117, + 1009879 + ], + [ + 2847339, + 97886762 + ], + [ + 66190357, + 10422904 + ], + [ + 92169028, + 25194624 + ], + [ + 4271538, + 66678172 + ], + [ + 86060101, + 69058938 + ], + [ + 27849865, + 89960203 + ], + [ + 12737885, + 36413334 + ], + [ + 97747525, + 20830842 + ], + [ + 76611603, + 80990775 + ], + [ + 38051275, + 74142617 + ], + [ + 1484204, + 37544257 + ], + [ + 45281018, + 6911022 + ], + [ + 66383728, + 90618367 + ], + [ + 43928308, + 82966684 + ], + [ + 96367578, + 84233703 + ], + [ + 93831530, + 98204964 + ], + [ + 28103581, + 6043540 + ], + [ + 12691889, + 66329072 + ], + [ + 54364428, + 98188004 + ], + [ + 18624793, + 85246917 + ], + [ + 60887836, + 70165824 + ], + [ + 23955203, + 42339748 + ], + [ + 10926852, + 13029065 + ], + [ + 69530234, + 71864443 + ], + [ + 89227527, + 6755136 + ], + [ + 2339004, + 54683687 + ], + [ + 41310357, + 72591904 + ], + [ + 80865524, + 25409976 + ], + [ + 62753645, + 50275525 + ], + [ + 21461800, + 84302639 + ], + [ + 33979946, + 748678 + ], + [ + 5830748, + 37260142 + ], + [ + 30023188, + 66885003 + ], + [ + 49486992, + 54585286 + ], + [ + 34769340, + 70088961 + ], + [ + 91273691, + 35164653 + ], + [ + 79540616, + 76739729 + ], + [ + 44890915, + 90814025 + ], + [ + 78686627, + 23059201 + ], + [ + 94245928, + 18856361 + ], + [ + 18715362, + 56903165 + ], + [ + 69506574, + 94188264 + ], + [ + 4023226, + 74529674 + ], + [ + 1330124, + 99045941 + ], + [ + 53263513, + 37597639 + ], + [ + 76990576, + 33666357 + ], + [ + 46127003, + 46621237 + ], + [ + 83731796, + 13922446 + ], + [ + 96358271, + 27846 + ], + [ + 74726713, + 45175958 + ], + [ + 39283702, + 32730597 + ], + [ + 21574352, + 2216255 + ], + [ + 87770376, + 4688662 + ], + [ + 35347576, + 26741311 + ], + [ + 2516557, + 92296522 + ], + [ + 37686913, + 53551194 + ], + [ + 15102586, + 13663419 + ], + [ + 74137833, + 17210901 + ], + [ + 76538749, + 58026962 + ], + [ + 37767993, + 25148139 + ], + [ + 59098973, + 10641496 + ], + [ + 45537868, + 3457455 + ], + [ + 92664932, + 10498246 + ], + [ + 20298221, + 23338046 + ], + [ + 37154718, + 36385912 + ], + [ + 2159888, + 29958490 + ], + [ + 616142, + 44448474 + ], + [ + 16824922, + 37449735 + ], + [ + 67535147, + 12568569 + ], + [ + 60138092, + 41792094 + ], + [ + 10369090, + 75473576 + ], + [ + 87334860, + 19741431 + ], + [ + 98442042, + 19839123 + ], + [ + 42505712, + 62532578 + ], + [ + 418680, + 36740570 + ], + [ + 71619587, + 42083034 + ], + [ + 31976373, + 51379462 + ], + [ + 43052352, + 23948262 + ], + [ + 64017151, + 17661125 + ], + [ + 53071051, + 86237155 + ], + [ + 78533769, + 46086962 + ], + [ + 52081108, + 31259934 + ], + [ + 34653775, + 13218674 + ], + [ + 25389635, + 37401454 + ], + [ + 25433750, + 82589004 + ], + [ + 72547178, + 19428117 + ], + [ + 90448039, + 1780927 + ], + [ + 46072068, + 18133616 + ], + [ + 66992338, + 9127138 + ], + [ + 9785424, + 85352360 + ], + [ + 98420228, + 45163410 + ], + [ + 60450623, + 53517013 + ], + [ + 11178644, + 20157301 + ], + [ + 46677055, + 30673514 + ], + [ + 97087176, + 48223641 + ], + [ + 38167089, + 61145022 + ], + [ + 29468785, + 18434717 + ], + [ + 45266507, + 98276038 + ], + [ + 66865682, + 71528958 + ], + [ + 64523990, + 62988771 + ], + [ + 60314501, + 43623847 + ], + [ + 41286313, + 72772954 + ], + [ + 70083772, + 82449061 + ], + [ + 62255470, + 67473820 + ], + [ + 81711102, + 35537716 + ], + [ + 83629027, + 6466745 + ], + [ + 2652100, + 41760430 + ], + [ + 74172705, + 37358822 + ], + [ + 25845604, + 1103886 + ], + [ + 68250794, + 98497045 + ], + [ + 77578236, + 23471719 + ], + [ + 80640608, + 82348482 + ], + [ + 71718826, + 74478614 + ], + [ + 25118458, + 36089914 + ], + [ + 81480958, + 342082 + ], + [ + 8956183, + 39541921 + ], + [ + 53314487, + 75120613 + ], + [ + 60873813, + 23428554 + ], + [ + 73922286, + 82540948 + ], + [ + 34609368, + 44138533 + ], + [ + 86376159, + 14862389 + ], + [ + 13837073, + 71671939 + ], + [ + 36197262, + 85915632 + ], + [ + 34564630, + 31722776 + ], + [ + 24101935, + 77284452 + ], + [ + 47269797, + 79829768 + ], + [ + 29187078, + 62344214 + ], + [ + 38412800, + 82891894 + ], + [ + 87558317, + 3086898 + ], + [ + 24083153, + 6066806 + ], + [ + 803381, + 6652381 + ], + [ + 89202332, + 90554920 + ], + [ + 15601846, + 80605029 + ], + [ + 40331099, + 93352538 + ], + [ + 98730477, + 19555997 + ], + [ + 17197252, + 96902779 + ], + [ + 84723199, + 58881559 + ], + [ + 62053755, + 27850160 + ], + [ + 1054111, + 75252830 + ], + [ + 61912100, + 91067421 + ], + [ + 90758185, + 71521747 + ], + [ + 12258052, + 48213573 + ], + [ + 19911428, + 98150397 + ], + [ + 20509436, + 98866532 + ], + [ + 36302209, + 78161671 + ], + [ + 70325811, + 5555828 + ], + [ + 63404899, + 26311952 + ], + [ + 81871549, + 89249213 + ], + [ + 53114590, + 39023531 + ], + [ + 38965794, + 23121281 + ], + [ + 87320086, + 24754003 + ], + [ + 19905048, + 31956420 + ], + [ + 49163084, + 2829542 + ], + [ + 98944881, + 10362585 + ], + [ + 32348145, + 96358087 + ], + [ + 50855114, + 12974683 + ], + [ + 34202712, + 51980817 + ], + [ + 65349112, + 42508498 + ], + [ + 11122637, + 53385536 + ], + [ + 39078005, + 58061843 + ], + [ + 42153777, + 49876598 + ], + [ + 46773464, + 98810381 + ], + [ + 83954636, + 97472550 + ], + [ + 89553651, + 3307146 + ], + [ + 39998449, + 279205 + ], + [ + 45076123, + 64253227 + ], + [ + 65560705, + 37417487 + ], + [ + 65577453, + 48040874 + ], + [ + 54073405, + 38041667 + ], + [ + 63759521, + 19353202 + ], + [ + 8575756, + 78731136 + ], + [ + 75650374, + 74231622 + ], + [ + 66273731, + 97760828 + ], + [ + 91970888, + 86402903 + ], + [ + 32886719, + 45843208 + ], + [ + 43835990, + 34854523 + ], + [ + 33708866, + 79043277 + ], + [ + 68258490, + 35701763 + ], + [ + 1218556, + 70567302 + ], + [ + 87029540, + 96663023 + ], + [ + 23210194, + 48186972 + ], + [ + 38646826, + 51490233 + ], + [ + 3486944, + 72560378 + ], + [ + 7681559, + 76237301 + ], + [ + 77519126, + 53590679 + ], + [ + 24173223, + 11881189 + ], + [ + 96663165, + 28383306 + ], + [ + 76712653, + 94156377 + ], + [ + 41371521, + 60606002 + ], + [ + 12776203, + 64775570 + ], + [ + 88533126, + 99447075 + ], + [ + 4464546, + 18679791 + ], + [ + 14054863, + 65071607 + ], + [ + 95086450, + 1518133 + ], + [ + 41227419, + 13421022 + ], + [ + 9718167, + 4419771 + ], + [ + 14219475, + 68785562 + ], + [ + 81167950, + 96067207 + ], + [ + 37087051, + 97148420 + ], + [ + 60972946, + 58488001 + ], + [ + 2917799, + 14928903 + ], + [ + 26990685, + 35337439 + ], + [ + 55128614, + 6880723 + ], + [ + 23997017, + 87235160 + ], + [ + 77934302, + 93263993 + ], + [ + 17934709, + 71108260 + ], + [ + 52849190, + 96849651 + ], + [ + 47547427, + 11246774 + ], + [ + 31198942, + 51427886 + ], + [ + 73171076, + 29344955 + ], + [ + 51504721, + 58203768 + ], + [ + 42473357, + 23542840 + ], + [ + 63015147, + 98368860 + ], + [ + 71622198, + 82154071 + ], + [ + 62570887, + 75076993 + ], + [ + 80305970, + 11301131 + ], + [ + 46561264, + 57495854 + ], + [ + 36113245, + 7326317 + ], + [ + 61105080, + 71835504 + ], + [ + 43733794, + 43754775 + ], + [ + 72463528, + 12776184 + ], + [ + 60791002, + 21875908 + ], + [ + 65051909, + 4069704 + ], + [ + 55540651, + 46142067 + ], + [ + 73452497, + 3591130 + ], + [ + 58066891, + 829800 + ], + [ + 26194167, + 69709089 + ], + [ + 49870198, + 55852247 + ], + [ + 167176, + 51639181 + ], + [ + 54551181, + 84174028 + ], + [ + 79411904, + 31888970 + ], + [ + 28611375, + 39023487 + ], + [ + 40779877, + 6013362 + ], + [ + 97824614, + 6251933 + ], + [ + 40384607, + 94113480 + ], + [ + 65252794, + 39187023 + ], + [ + 49899313, + 94964242 + ], + [ + 73687859, + 75232573 + ], + [ + 31746935, + 1831092 + ], + [ + 9823485, + 81696174 + ], + [ + 55830938, + 64299297 + ], + [ + 48686353, + 11213570 + ], + [ + 16693085, + 75807453 + ], + [ + 40397046, + 11787895 + ], + [ + 98592854, + 50958731 + ], + [ + 12689911, + 37643389 + ], + [ + 98546473, + 51966669 + ], + [ + 99361351, + 67615352 + ], + [ + 14944133, + 61430045 + ], + [ + 18015914, + 18909476 + ], + [ + 3873083, + 67864286 + ], + [ + 85256830, + 49554572 + ], + [ + 97859409, + 29245644 + ], + [ + 7942973, + 10325575 + ], + [ + 37195705, + 58755008 + ], + [ + 34927775, + 62010872 + ], + [ + 86290145, + 13090323 + ], + [ + 7737699, + 66043037 + ], + [ + 34932352, + 45099832 + ], + [ + 39307934, + 95830859 + ], + [ + 68853061, + 20977903 + ], + [ + 47766152, + 59338330 + ], + [ + 56512893, + 99797295 + ], + [ + 68175252, + 92229535 + ], + [ + 34459271, + 60221218 + ], + [ + 311134, + 99076103 + ], + [ + 37685097, + 33358475 + ], + [ + 27591189, + 18103240 + ], + [ + 15899826, + 68983159 + ], + [ + 63782280, + 50464989 + ], + [ + 54017816, + 2792688 + ], + [ + 32528296, + 45488546 + ], + [ + 98295144, + 53456338 + ], + [ + 40435550, + 66172090 + ], + [ + 85616255, + 79129607 + ], + [ + 52187871, + 77410535 + ], + [ + 28603773, + 7670416 + ], + [ + 29388181, + 37623669 + ], + [ + 33319385, + 52481092 + ], + [ + 96956018, + 93681274 + ], + [ + 55859275, + 68874167 + ], + [ + 55110596, + 66342730 + ], + [ + 73581598, + 39221969 + ], + [ + 29705753, + 75920737 + ], + [ + 60171511, + 47490118 + ], + [ + 29831513, + 26458763 + ], + [ + 56857720, + 2890010 + ], + [ + 65000596, + 94705391 + ], + [ + 97653007, + 53983977 + ], + [ + 58173694, + 74605788 + ], + [ + 79234598, + 77273580 + ], + [ + 28279675, + 40395138 + ], + [ + 37374716, + 71760873 + ], + [ + 97749250, + 68351856 + ], + [ + 98351880, + 56647156 + ], + [ + 97470647, + 96964978 + ], + [ + 53735183, + 73098979 + ], + [ + 20693019, + 260113 + ], + [ + 67119564, + 79408477 + ], + [ + 9204578, + 62320355 + ], + [ + 42964628, + 3347413 + ], + [ + 45891464, + 7931691 + ], + [ + 71096249, + 11175699 + ], + [ + 47193060, + 4348600 + ], + [ + 80859794, + 54470304 + ], + [ + 4652822, + 47068643 + ], + [ + 38652365, + 84410810 + ], + [ + 15877462, + 68730749 + ], + [ + 92546491, + 22463912 + ], + [ + 38536578, + 78235563 + ], + [ + 91020330, + 56537186 + ], + [ + 26176885, + 90593977 + ], + [ + 70490797, + 87134080 + ], + [ + 37728751, + 42666453 + ], + [ + 57585424, + 53489611 + ], + [ + 13773512, + 35089016 + ], + [ + 80878243, + 78723656 + ], + [ + 56472976, + 89500320 + ], + [ + 43191360, + 59990499 + ], + [ + 1834511, + 80084375 + ], + [ + 37307916, + 93034768 + ], + [ + 66462416, + 75944680 + ], + [ + 32155064, + 55352047 + ], + [ + 47990420, + 3419427 + ], + [ + 47336991, + 20318615 + ], + [ + 1401812, + 14336591 + ], + [ + 72371583, + 18401163 + ], + [ + 17617837, + 87159814 + ], + [ + 10784241, + 47459446 + ], + [ + 72759026, + 68085775 + ], + [ + 59963955, + 38026071 + ], + [ + 88306569, + 11190250 + ], + [ + 38672240, + 35701331 + ], + [ + 43899977, + 30185812 + ], + [ + 81205645, + 24800906 + ], + [ + 20935173, + 59640292 + ], + [ + 11599934, + 37767409 + ], + [ + 95723960, + 25954427 + ], + [ + 56875504, + 61726031 + ], + [ + 50120977, + 35199728 + ], + [ + 64161398, + 5146202 + ], + [ + 76458437, + 25495863 + ], + [ + 19748404, + 24377893 + ], + [ + 3447398, + 36560230 + ], + [ + 65398397, + 95894787 + ], + [ + 8649279, + 34526910 + ], + [ + 9683760, + 81183682 + ], + [ + 26248649, + 98228716 + ], + [ + 60043443, + 53332350 + ], + [ + 31805368, + 2598139 + ], + [ + 44438874, + 16581947 + ], + [ + 40109014, + 42948015 + ], + [ + 92524062, + 75243048 + ], + [ + 99928378, + 82093043 + ], + [ + 27441982, + 43886435 + ], + [ + 55040282, + 21081792 + ], + [ + 52545346, + 92705000 + ], + [ + 11057310, + 17823960 + ], + [ + 39532182, + 71197962 + ], + [ + 22963720, + 62738580 + ], + [ + 12841105, + 69746516 + ], + [ + 52129054, + 7058494 + ], + [ + 86072567, + 26935848 + ], + [ + 24637107, + 49215015 + ], + [ + 75093343, + 71962069 + ], + [ + 6429158, + 95388278 + ], + [ + 41846853, + 89855208 + ], + [ + 4393148, + 36470388 + ], + [ + 25511236, + 27748643 + ], + [ + 12349483, + 18428149 + ], + [ + 19736182, + 51911752 + ], + [ + 69474423, + 1507239 + ], + [ + 24277035, + 35057224 + ], + [ + 27190483, + 57116063 + ], + [ + 33568842, + 69035255 + ], + [ + 12211740, + 22149522 + ], + [ + 80088789, + 99002162 + ], + [ + 82781721, + 53613903 + ], + [ + 41113014, + 28076336 + ], + [ + 69496901, + 82124934 + ], + [ + 51698038, + 65989268 + ], + [ + 68833276, + 30636861 + ], + [ + 51728897, + 60897168 + ], + [ + 18836178, + 91647017 + ], + [ + 37190309, + 56830975 + ], + [ + 63982029, + 98022738 + ], + [ + 99430809, + 89163695 + ], + [ + 61522442, + 56030690 + ], + [ + 70241022, + 45226812 + ], + [ + 80614802, + 42911349 + ], + [ + 36766487, + 40228400 + ], + [ + 69810868, + 48508842 + ], + [ + 73385592, + 20092396 + ], + [ + 8903249, + 27707163 + ], + [ + 64142359, + 20542062 + ], + [ + 2390096, + 57584638 + ], + [ + 96537307, + 1163617 + ], + [ + 11775215, + 21527698 + ], + [ + 68297019, + 84563380 + ], + [ + 65693542, + 75084378 + ], + [ + 76272964, + 26861071 + ], + [ + 46908931, + 23303387 + ], + [ + 55055596, + 63310550 + ], + [ + 33448789, + 68610814 + ], + [ + 29980306, + 12162573 + ], + [ + 90718862, + 93293119 + ], + [ + 93778554, + 92703553 + ], + [ + 1718851, + 80221443 + ], + [ + 65985838, + 21568074 + ], + [ + 32616190, + 95265312 + ], + [ + 73577744, + 2929364 + ], + [ + 46371141, + 9061312 + ], + [ + 49949863, + 23991742 + ], + [ + 19647908, + 85169249 + ], + [ + 44004531, + 3373632 + ], + [ + 60759581, + 80582667 + ], + [ + 66781882, + 32176241 + ], + [ + 61165113, + 81927386 + ], + [ + 37855759, + 51473341 + ], + [ + 66866828, + 61926163 + ], + [ + 61290982, + 48554517 + ], + [ + 18266448, + 14719383 + ], + [ + 7669511, + 23547123 + ], + [ + 44995476, + 66356402 + ], + [ + 11856135, + 13390777 + ], + [ + 23657631, + 55848191 + ], + [ + 83312629, + 78910266 + ], + [ + 75821545, + 17771728 + ], + [ + 93069433, + 18322436 + ], + [ + 60146383, + 92016044 + ], + [ + 46365031, + 97545290 + ], + [ + 9575701, + 92389588 + ], + [ + 14478759, + 14224805 + ], + [ + 13937801, + 6095647 + ], + [ + 83081408, + 35432737 + ], + [ + 1955063, + 94274284 + ], + [ + 70502791, + 26038201 + ], + [ + 44417546, + 19641855 + ], + [ + 2447820, + 17932195 + ], + [ + 14328766, + 59855334 + ], + [ + 22915018, + 8642976 + ], + [ + 38603391, + 2884285 + ], + [ + 71768824, + 76638728 + ], + [ + 5412813, + 5653405 + ], + [ + 44692614, + 89337048 + ], + [ + 45808742, + 73372551 + ], + [ + 64372591, + 84970075 + ], + [ + 76134582, + 46757382 + ], + [ + 11359918, + 72891479 + ], + [ + 83199145, + 87890742 + ], + [ + 99563622, + 33710641 + ], + [ + 72777153, + 25748731 + ], + [ + 49279379, + 91637144 + ], + [ + 82723793, + 97447478 + ], + [ + 77564938, + 13350518 + ], + [ + 91078954, + 60998465 + ], + [ + 22387939, + 32643063 + ], + [ + 2941535, + 17654617 + ], + [ + 96848076, + 973839 + ], + [ + 22493619, + 35947437 + ], + [ + 38217172, + 6689704 + ], + [ + 12549777, + 63097003 + ], + [ + 72848635, + 7719620 + ], + [ + 93332764, + 48816310 + ], + [ + 25819334, + 90706504 + ], + [ + 92201095, + 33518729 + ], + [ + 15280045, + 6301353 + ], + [ + 73136729, + 59748208 + ], + [ + 74922076, + 5298662 + ], + [ + 61489005, + 45007912 + ], + [ + 87117537, + 40860259 + ], + [ + 6438283, + 45114345 + ], + [ + 26404452, + 45060170 + ], + [ + 79235863, + 93038783 + ], + [ + 47255835, + 95469887 + ], + [ + 33849137, + 13791857 + ], + [ + 35554884, + 50940009 + ], + [ + 96866376, + 29506643 + ], + [ + 13784620, + 49115883 + ], + [ + 6680094, + 32936496 + ], + [ + 85512362, + 49252035 + ], + [ + 87541014, + 77280026 + ], + [ + 43859412, + 62206742 + ], + [ + 91172399, + 26019830 + ], + [ + 8583026, + 79158033 + ], + [ + 53225414, + 13742466 + ], + [ + 24382981, + 89152245 + ], + [ + 65683565, + 72995941 + ], + [ + 60767869, + 16746883 + ], + [ + 56100925, + 53175632 + ], + [ + 49160001, + 38680592 + ], + [ + 88936798, + 2309579 + ], + [ + 19455303, + 99794603 + ], + [ + 67981715, + 78852979 + ], + [ + 45601304, + 60922728 + ], + [ + 34376633, + 27181481 + ], + [ + 89293702, + 77768846 + ], + [ + 17915241, + 76813485 + ], + [ + 12723980, + 89839975 + ], + [ + 17379200, + 58411258 + ], + [ + 72217547, + 89142864 + ], + [ + 19799635, + 25195715 + ], + [ + 44806801, + 91736736 + ], + [ + 67823035, + 86416256 + ], + [ + 83487078, + 6723038 + ], + [ + 35578431, + 13735045 + ], + [ + 49955055, + 10476223 + ], + [ + 36337903, + 3191366 + ], + [ + 13218626, + 5468588 + ], + [ + 56161376, + 80421066 + ], + [ + 61908077, + 76923512 + ], + [ + 90739005, + 76326709 + ], + [ + 39356439, + 7864173 + ], + [ + 96709479, + 62284835 + ], + [ + 64046519, + 42171222 + ], + [ + 19914933, + 53684327 + ], + [ + 89067159, + 51122054 + ], + [ + 98049137, + 88143076 + ], + [ + 96273889, + 44726504 + ], + [ + 49116200, + 66551422 + ], + [ + 36635041, + 17678506 + ], + [ + 12191783, + 23160600 + ], + [ + 96172491, + 60247760 + ], + [ + 88290212, + 8580045 + ], + [ + 8205425, + 61792691 + ], + [ + 66088970, + 94312255 + ], + [ + 95838716, + 96286110 + ], + [ + 65257589, + 26927645 + ], + [ + 75072383, + 75791252 + ], + [ + 92100076, + 4067257 + ], + [ + 45675184, + 43903658 + ], + [ + 56936173, + 80544442 + ], + [ + 79253743, + 8086861 + ], + [ + 40563886, + 35188718 + ], + [ + 93797191, + 66394030 + ], + [ + 73031209, + 81363147 + ], + [ + 54770159, + 91270232 + ], + [ + 40491024, + 94604978 + ], + [ + 19633049, + 37287744 + ], + [ + 82803699, + 91019595 + ], + [ + 51766912, + 6348094 + ], + [ + 20224832, + 51575988 + ], + [ + 59117752, + 50148382 + ], + [ + 7161094, + 71185929 + ], + [ + 91125864, + 94755107 + ], + [ + 12626566, + 92635109 + ], + [ + 99835463, + 61299053 + ], + [ + 35800440, + 73949265 + ], + [ + 35383290, + 67223839 + ], + [ + 27369325, + 7147444 + ], + [ + 36340863, + 13573949 + ], + [ + 6919253, + 17915834 + ], + [ + 10031516, + 20292288 + ], + [ + 53589132, + 43070977 + ], + [ + 81644335, + 54985628 + ], + [ + 28864536, + 71955541 + ], + [ + 22447941, + 92340732 + ], + [ + 48418811, + 11540871 + ], + [ + 25072072, + 62531327 + ], + [ + 52129729, + 53079111 + ], + [ + 35131554, + 32670279 + ], + [ + 80712981, + 58383876 + ], + [ + 64593227, + 88820495 + ], + [ + 1370258, + 94362741 + ], + [ + 30927198, + 17747039 + ], + [ + 50699604, + 13010043 + ], + [ + 10269287, + 45427370 + ], + [ + 46255994, + 58173567 + ], + [ + 56078011, + 71101048 + ], + [ + 84789292, + 77194757 + ], + [ + 17919198, + 66115842 + ], + [ + 61238927, + 48193787 + ], + [ + 87694914, + 3851925 + ], + [ + 58480357, + 97362105 + ], + [ + 83168223, + 54071613 + ], + [ + 74163037, + 96637085 + ], + [ + 36964266, + 96454800 + ], + [ + 93216431, + 63272614 + ], + [ + 33739183, + 55767713 + ], + [ + 77567268, + 66968890 + ], + [ + 1387413, + 34444977 + ], + [ + 46902702, + 35702962 + ], + [ + 56629468, + 98109769 + ], + [ + 57366052, + 3826991 + ], + [ + 765789, + 46407403 + ], + [ + 31867864, + 66734682 + ], + [ + 10195052, + 82215402 + ], + [ + 46962741, + 7667221 + ], + [ + 94355243, + 70653949 + ], + [ + 83131344, + 78378861 + ], + [ + 40011928, + 92743892 + ], + [ + 75635379, + 9542904 + ], + [ + 38418147, + 97568335 + ], + [ + 81834145, + 44833421 + ], + [ + 65795707, + 66538759 + ], + [ + 95900343, + 34196370 + ], + [ + 27865224, + 79864710 + ], + [ + 49081078, + 68485157 + ], + [ + 35100156, + 76320065 + ], + [ + 82413558, + 57176218 + ], + [ + 61741602, + 13801711 + ], + [ + 38491898, + 17500821 + ], + [ + 17266130, + 27736512 + ], + [ + 14022882, + 84427034 + ], + [ + 76021915, + 32259553 + ], + [ + 71032486, + 42030793 + ], + [ + 27656989, + 67064457 + ], + [ + 79329905, + 9778283 + ], + [ + 55097221, + 39725149 + ], + [ + 85854544, + 94532142 + ], + [ + 93247519, + 80393600 + ], + [ + 11076162, + 67472731 + ], + [ + 56062015, + 52248332 + ], + [ + 37558891, + 97636321 + ], + [ + 74206314, + 56468267 + ], + [ + 1638995, + 14396984 + ], + [ + 51466525, + 72412302 + ], + [ + 7451581, + 86839416 + ], + [ + 97151765, + 37623 + ], + [ + 16546321, + 23715092 + ], + [ + 20880976, + 56810126 + ], + [ + 19685509, + 93697791 + ], + [ + 31488177, + 83477940 + ], + [ + 91445275, + 45996046 + ], + [ + 78312716, + 69353875 + ], + [ + 86309475, + 49450812 + ], + [ + 36283306, + 20212406 + ], + [ + 77858939, + 92711916 + ], + [ + 3868575, + 8128038 + ], + [ + 40122974, + 68636039 + ], + [ + 48214130, + 4325687 + ], + [ + 20474550, + 92833795 + ], + [ + 95987691, + 91759376 + ], + [ + 91612875, + 21721761 + ], + [ + 76479077, + 55631369 + ], + [ + 37317344, + 39106960 + ], + [ + 21124828, + 62369283 + ], + [ + 26866080, + 963321 + ], + [ + 10952998, + 15329368 + ], + [ + 70334036, + 17074224 + ], + [ + 29651226, + 2101136 + ], + [ + 72225297, + 26335307 + ], + [ + 48857857, + 10390949 + ], + [ + 55210460, + 71215713 + ], + [ + 8016558, + 94277938 + ], + [ + 74330547, + 35526309 + ], + [ + 61623595, + 61759703 + ], + [ + 92604142, + 75387266 + ], + [ + 11793598, + 33141407 + ], + [ + 86411731, + 10682240 + ], + [ + 26963295, + 42199325 + ], + [ + 91202839, + 5345313 + ], + [ + 56566503, + 85320123 + ], + [ + 9082543, + 12806863 + ], + [ + 70634360, + 1584154 + ], + [ + 27857801, + 61615048 + ], + [ + 24414380, + 30591337 + ], + [ + 51736485, + 88558504 + ], + [ + 78902514, + 82528127 + ], + [ + 50499269, + 50957695 + ], + [ + 22676642, + 88780612 + ], + [ + 38428850, + 90409829 + ], + [ + 87212344, + 16155067 + ], + [ + 5780736, + 63776514 + ], + [ + 82868133, + 81728055 + ], + [ + 87497673, + 61440021 + ], + [ + 78930612, + 53697930 + ], + [ + 47069353, + 6110601 + ], + [ + 5378641, + 84871209 + ], + [ + 28746535, + 67716546 + ], + [ + 84091916, + 98305331 + ], + [ + 35630306, + 76245031 + ], + [ + 33783285, + 62041594 + ], + [ + 63405050, + 39246529 + ], + [ + 31886516, + 98813760 + ], + [ + 8497699, + 87946193 + ], + [ + 71764123, + 87108447 + ], + [ + 67554370, + 41368984 + ], + [ + 3537184, + 4692877 + ], + [ + 40291711, + 8757928 + ], + [ + 66990675, + 62568486 + ], + [ + 22544811, + 44294165 + ], + [ + 1739187, + 62827943 + ], + [ + 37041777, + 15470425 + ], + [ + 86693821, + 54947033 + ], + [ + 59268515, + 35325442 + ], + [ + 37720585, + 21991829 + ], + [ + 70485026, + 49966984 + ], + [ + 56024875, + 99695617 + ], + [ + 20635166, + 52200441 + ], + [ + 53845979, + 46613552 + ], + [ + 27610229, + 95614150 + ], + [ + 10484628, + 90457080 + ], + [ + 30420411, + 69942475 + ], + [ + 25764963, + 60035329 + ], + [ + 77522774, + 21135214 + ], + [ + 66317168, + 64432536 + ], + [ + 85086518, + 57024440 + ], + [ + 43816430, + 12154021 + ], + [ + 75612255, + 78250504 + ], + [ + 99306189, + 45322600 + ], + [ + 90475647, + 53647122 + ], + [ + 56232186, + 15957059 + ], + [ + 22157436, + 78362704 + ], + [ + 82601225, + 8671956 + ], + [ + 6226820, + 15734885 + ], + [ + 41808114, + 872677 + ], + [ + 75012852, + 85493934 + ], + [ + 63437253, + 36884934 + ], + [ + 94099292, + 7903260 + ], + [ + 44079124, + 748487 + ], + [ + 12660224, + 20768221 + ], + [ + 37748062, + 19767781 + ], + [ + 547321, + 58049070 + ], + [ + 93203836, + 73774839 + ], + [ + 62823502, + 94822329 + ], + [ + 52335622, + 43799956 + ], + [ + 99759477, + 70035653 + ], + [ + 88855666, + 49628875 + ], + [ + 27515764, + 10385891 + ], + [ + 88945257, + 67423488 + ], + [ + 51788403, + 55077687 + ], + [ + 70157896, + 22067059 + ], + [ + 11973113, + 66395485 + ], + [ + 42228724, + 28296189 + ], + [ + 11709631, + 62555004 + ], + [ + 33159897, + 12529878 + ], + [ + 26766998, + 3990010 + ], + [ + 21567804, + 6357089 + ], + [ + 81222412, + 75979220 + ], + [ + 33800929, + 86119374 + ], + [ + 44663235, + 31215563 + ], + [ + 1742851, + 88132844 + ], + [ + 76760449, + 75994118 + ], + [ + 10645645, + 54245516 + ], + [ + 19541582, + 25975668 + ], + [ + 72147887, + 89042868 + ], + [ + 40840815, + 61968292 + ], + [ + 50904613, + 73567551 + ], + [ + 13274043, + 66811063 + ], + [ + 38887731, + 55701348 + ], + [ + 53090464, + 31227419 + ], + [ + 26367750, + 61043969 + ], + [ + 47054617, + 52033191 + ], + [ + 33103985, + 15342164 + ], + [ + 99656453, + 17163610 + ], + [ + 289698, + 9982135 + ], + [ + 72249250, + 83557327 + ], + [ + 99706348, + 5075347 + ], + [ + 8074743, + 31640274 + ], + [ + 33715413, + 98336856 + ], + [ + 24585949, + 61093865 + ], + [ + 8922268, + 73175368 + ], + [ + 33006676, + 74652295 + ], + [ + 11172229, + 34165947 + ], + [ + 49103651, + 27461615 + ], + [ + 55363992, + 15534399 + ], + [ + 89742730, + 22689698 + ], + [ + 31880825, + 20869682 + ], + [ + 14692696, + 63169906 + ], + [ + 56676670, + 76592788 + ], + [ + 78935701, + 46814382 + ], + [ + 99139805, + 30622332 + ], + [ + 287140, + 8267802 + ], + [ + 88491751, + 79621445 + ], + [ + 17586311, + 76282296 + ], + [ + 67397304, + 98336878 + ], + [ + 76380784, + 72525308 + ], + [ + 5256569, + 12407757 + ], + [ + 49914788, + 25192525 + ], + [ + 97966242, + 20736760 + ], + [ + 42659201, + 62239961 + ], + [ + 67281495, + 73304178 + ], + [ + 83662555, + 81452816 + ], + [ + 39963389, + 92084590 + ], + [ + 20080177, + 51122779 + ], + [ + 72823364, + 32090228 + ], + [ + 6874404, + 69242090 + ], + [ + 48269198, + 77657262 + ], + [ + 29248091, + 62454221 + ], + [ + 74987219, + 13478621 + ], + [ + 78902771, + 87752431 + ], + [ + 61955526, + 44069774 + ], + [ + 17091246, + 46411383 + ], + [ + 75022700, + 26721527 + ], + [ + 22803620, + 79628531 + ], + [ + 99454671, + 4114287 + ], + [ + 95785588, + 869008 + ], + [ + 20148685, + 44014550 + ], + [ + 50831623, + 27181490 + ], + [ + 37765399, + 77054533 + ], + [ + 22772130, + 95737873 + ], + [ + 71294722, + 84336597 + ], + [ + 1597874, + 42971334 + ], + [ + 33979651, + 32350236 + ], + [ + 50212024, + 82828332 + ], + [ + 86274640, + 61169180 + ], + [ + 91357266, + 58849777 + ], + [ + 18963895, + 76049048 + ], + [ + 75674932, + 42125417 + ], + [ + 93376926, + 93410880 + ], + [ + 53962729, + 14129338 + ], + [ + 30935303, + 77527244 + ], + [ + 90285922, + 68696425 + ], + [ + 91604801, + 50046896 + ], + [ + 3239052, + 14372906 + ], + [ + 15916531, + 87009097 + ], + [ + 87519424, + 45049842 + ], + [ + 6706443, + 97002585 + ], + [ + 9112331, + 7206148 + ], + [ + 83460672, + 14426719 + ], + [ + 81621042, + 59498524 + ], + [ + 41197252, + 29372859 + ], + [ + 45964651, + 58043538 + ], + [ + 68441529, + 44217903 + ], + [ + 57779853, + 22856987 + ], + [ + 91555445, + 34237796 + ], + [ + 46450999, + 35009423 + ], + [ + 41707655, + 54285380 + ], + [ + 36715247, + 68037433 + ], + [ + 80007788, + 49190552 + ], + [ + 55182396, + 81732598 + ], + [ + 374698, + 24435423 + ], + [ + 30872339, + 32690521 + ], + [ + 63116191, + 7401599 + ], + [ + 23949439, + 49107723 + ], + [ + 83733563, + 31570509 + ], + [ + 93214911, + 17882036 + ], + [ + 63844877, + 30595365 + ], + [ + 67255649, + 79052644 + ], + [ + 29251244, + 95680745 + ], + [ + 84019665, + 32781134 + ], + [ + 51433984, + 40612120 + ], + [ + 60423792, + 46812383 + ], + [ + 54637605, + 54827128 + ], + [ + 78905311, + 72334013 + ], + [ + 5766885, + 15995166 + ], + [ + 96119636, + 64050863 + ], + [ + 88686931, + 11882101 + ], + [ + 74979492, + 18772043 + ], + [ + 95317913, + 40771766 + ], + [ + 2818127, + 17232230 + ], + [ + 52508597, + 9937047 + ], + [ + 15555953, + 81405241 + ], + [ + 90184584, + 36487122 + ], + [ + 90604465, + 73219595 + ], + [ + 70505373, + 76795241 + ], + [ + 19281096, + 58892413 + ], + [ + 5001440, + 99996723 + ], + [ + 91933978, + 9185461 + ], + [ + 41572201, + 11752685 + ], + [ + 5650787, + 7908771 + ], + [ + 36605943, + 46052297 + ], + [ + 86744989, + 75602704 + ], + [ + 9876740, + 42125974 + ], + [ + 96367264, + 48607817 + ], + [ + 21361012, + 41558654 + ], + [ + 84319212, + 23033844 + ], + [ + 99974312, + 34114037 + ], + [ + 22796247, + 99824681 + ], + [ + 97639926, + 16653598 + ], + [ + 27962225, + 5123492 + ], + [ + 3581594, + 10417700 + ], + [ + 80105626, + 17647093 + ], + [ + 85155275, + 99002429 + ], + [ + 36055334, + 42764204 + ], + [ + 46241821, + 9276958 + ], + [ + 21052176, + 50659479 + ], + [ + 53803863, + 66529569 + ], + [ + 66005215, + 27582718 + ], + [ + 38943223, + 30114867 + ], + [ + 62373056, + 4181138 + ], + [ + 46407334, + 13941012 + ], + [ + 98266163, + 60904735 + ], + [ + 33207605, + 82055359 + ], + [ + 64782257, + 67068376 + ], + [ + 66972758, + 10366986 + ], + [ + 57846283, + 69022546 + ], + [ + 61183303, + 28974771 + ], + [ + 39119189, + 73062658 + ], + [ + 90686223, + 91853870 + ], + [ + 5803979, + 71767250 + ], + [ + 92120181, + 75856017 + ], + [ + 42524324, + 96935682 + ], + [ + 62192300, + 82343015 + ], + [ + 62861906, + 55634120 + ], + [ + 9340136, + 28400302 + ], + [ + 24342875, + 56204954 + ], + [ + 16016553, + 6112061 + ], + [ + 71032217, + 92407152 + ], + [ + 25719800, + 23608830 + ], + [ + 87282025, + 44270676 + ], + [ + 75161816, + 53600777 + ], + [ + 98738442, + 32595729 + ], + [ + 77355082, + 15620010 + ], + [ + 99417398, + 24315202 + ], + [ + 43031357, + 33896964 + ], + [ + 96841931, + 86812739 + ], + [ + 73558456, + 60616814 + ], + [ + 36370443, + 62731290 + ], + [ + 43091636, + 61306315 + ], + [ + 35643420, + 68957673 + ], + [ + 74527766, + 79354242 + ], + [ + 66380434, + 11277751 + ], + [ + 5806487, + 37996608 + ], + [ + 60091467, + 13501544 + ], + [ + 24679922, + 30568422 + ], + [ + 38900132, + 28867152 + ], + [ + 99718570, + 20798961 + ], + [ + 14979397, + 20030721 + ], + [ + 87332076, + 80201582 + ], + [ + 96131870, + 14944894 + ], + [ + 76338265, + 76533171 + ], + [ + 98008573, + 94417674 + ], + [ + 71945062, + 17557200 + ], + [ + 83937324, + 14499154 + ], + [ + 41869301, + 11357436 + ], + [ + 72097888, + 20768010 + ], + [ + 10942856, + 15690142 + ], + [ + 66250695, + 84886130 + ], + [ + 59361593, + 19347208 + ], + [ + 45720388, + 95532569 + ], + [ + 12887835, + 64009258 + ], + [ + 86000285, + 876194 + ], + [ + 19780793, + 97304330 + ], + [ + 4771118, + 7746122 + ], + [ + 37082291, + 93400934 + ], + [ + 89135225, + 84296431 + ], + [ + 67616656, + 4397980 + ], + [ + 5025203, + 15737725 + ], + [ + 21568595, + 29587048 + ], + [ + 2449094, + 47676058 + ], + [ + 72755295, + 86816799 + ], + [ + 96348887, + 22737310 + ], + [ + 55839712, + 55527390 + ], + [ + 86368676, + 99624933 + ], + [ + 92345539, + 62356213 + ], + [ + 75540452, + 31648339 + ], + [ + 16105785, + 39880076 + ], + [ + 72161357, + 48824378 + ], + [ + 82279286, + 95802713 + ], + [ + 17869738, + 80371014 + ], + [ + 33560295, + 96587168 + ], + [ + 57890706, + 17339580 + ], + [ + 43591172, + 46734572 + ], + [ + 56874097, + 24373697 + ], + [ + 28570479, + 4731451 + ], + [ + 89312341, + 59331355 + ], + [ + 42939353, + 35497326 + ], + [ + 38034892, + 76357682 + ], + [ + 87388633, + 14058402 + ], + [ + 25283316, + 94400332 + ], + [ + 24984197, + 88755322 + ], + [ + 97592099, + 43163243 + ], + [ + 59057032, + 73897386 + ], + [ + 11478753, + 5891114 + ], + [ + 22130342, + 97811011 + ], + [ + 2029532, + 36863649 + ], + [ + 25464235, + 39540063 + ], + [ + 29720247, + 28725311 + ], + [ + 33838354, + 7765775 + ], + [ + 8286882, + 77388142 + ], + [ + 65306023, + 38592167 + ], + [ + 28452782, + 76389714 + ], + [ + 63287950, + 51924038 + ], + [ + 33257699, + 26355778 + ], + [ + 27365480, + 20744121 + ], + [ + 47050547, + 82746924 + ], + [ + 93667807, + 24154987 + ], + [ + 7408512, + 99766709 + ], + [ + 65644464, + 20225231 + ], + [ + 3529730, + 29549535 + ], + [ + 33582459, + 39514390 + ], + [ + 77100694, + 38280363 + ], + [ + 41719304, + 92186929 + ], + [ + 57334506, + 36172491 + ], + [ + 35831559, + 19450517 + ], + [ + 49774058, + 87205205 + ], + [ + 77375473, + 54830340 + ], + [ + 53179708, + 68630387 + ], + [ + 46476059, + 20923297 + ], + [ + 68071532, + 55534139 + ], + [ + 2819851, + 15254568 + ], + [ + 93975763, + 75054437 + ], + [ + 27059398, + 5070907 + ], + [ + 55737660, + 1890831 + ], + [ + 42009974, + 70378347 + ], + [ + 88373492, + 70786442 + ], + [ + 51601636, + 790812 + ], + [ + 89574070, + 79956614 + ], + [ + 23726874, + 43005279 + ], + [ + 55612177, + 80704962 + ], + [ + 55311674, + 54808349 + ], + [ + 46150805, + 31586564 + ], + [ + 74651632, + 23280254 + ], + [ + 63432528, + 27328970 + ], + [ + 54057467, + 76441810 + ], + [ + 63181486, + 91314518 + ], + [ + 98558396, + 31774131 + ], + [ + 48415583, + 18712177 + ], + [ + 64030083, + 52646045 + ], + [ + 50057020, + 7286985 + ], + [ + 18716860, + 53034770 + ], + [ + 54307233, + 28753495 + ], + [ + 34796255, + 35022636 + ], + [ + 26106312, + 48425991 + ], + [ + 45936694, + 56792020 + ], + [ + 22536963, + 49219108 + ], + [ + 11705424, + 49453993 + ], + [ + 83486969, + 37674068 + ], + [ + 56120938, + 70713074 + ], + [ + 50171098, + 1243321 + ], + [ + 56148457, + 41820032 + ], + [ + 79588791, + 32692934 + ], + [ + 93638438, + 6294420 + ], + [ + 98091161, + 56583340 + ], + [ + 54994090, + 58955532 + ], + [ + 60813781, + 24783256 + ], + [ + 32655339, + 86136752 + ], + [ + 11453715, + 77727634 + ], + [ + 20503521, + 11912108 + ], + [ + 79762139, + 9450492 + ], + [ + 61573978, + 171007 + ], + [ + 90987624, + 56147132 + ], + [ + 89567868, + 49795897 + ], + [ + 34333160, + 28838863 + ], + [ + 86971187, + 6584915 + ], + [ + 96251465, + 39637363 + ], + [ + 53312084, + 54633205 + ], + [ + 46247523, + 48149792 + ], + [ + 15418030, + 30414300 + ], + [ + 6347742, + 48581128 + ], + [ + 48049039, + 10852858 + ], + [ + 93844270, + 3786222 + ], + [ + 44736775, + 82539921 + ], + [ + 87022997, + 40894306 + ], + [ + 99645875, + 51555816 + ], + [ + 47491536, + 86914427 + ], + [ + 89080503, + 42787132 + ], + [ + 80236541, + 51652358 + ], + [ + 90627380, + 65100411 + ], + [ + 57012653, + 82041656 + ], + [ + 96974226, + 39631180 + ], + [ + 52744878, + 76782910 + ], + [ + 19979058, + 22306963 + ], + [ + 57918297, + 36549558 + ], + [ + 85592798, + 50411064 + ], + [ + 36012065, + 97728123 + ], + [ + 68259972, + 51252894 + ], + [ + 12304557, + 14134795 + ], + [ + 38397949, + 5283772 + ], + [ + 33134531, + 20932862 + ], + [ + 84440292, + 53117476 + ], + [ + 40111795, + 36949921 + ], + [ + 43607117, + 85699090 + ], + [ + 12585434, + 96928582 + ], + [ + 83248558, + 48577692 + ], + [ + 38344534, + 29566542 + ], + [ + 86440665, + 10369545 + ], + [ + 49079877, + 98421518 + ], + [ + 19844296, + 20645252 + ], + [ + 80957131, + 36990644 + ], + [ + 70216523, + 55294639 + ], + [ + 84374362, + 90272196 + ], + [ + 45642039, + 11979311 + ], + [ + 77686432, + 98296254 + ], + [ + 9224697, + 7669951 + ], + [ + 72337677, + 20640364 + ], + [ + 65710293, + 90379141 + ], + [ + 11433771, + 78831928 + ], + [ + 3917674, + 86593672 + ], + [ + 22552855, + 98460788 + ], + [ + 92814091, + 42047145 + ], + [ + 9929563, + 17472578 + ], + [ + 75159401, + 52923321 + ], + [ + 53687867, + 58047531 + ], + [ + 64097369, + 46686397 + ], + [ + 81967912, + 53924838 + ], + [ + 60273064, + 92419637 + ], + [ + 9078469, + 31788836 + ], + [ + 1213165, + 83856546 + ], + [ + 50620647, + 55764198 + ], + [ + 70033528, + 80295859 + ], + [ + 65543195, + 55688207 + ], + [ + 76903227, + 52104289 + ], + [ + 87350182, + 51935906 + ], + [ + 89016887, + 51225413 + ], + [ + 44850861, + 93642590 + ], + [ + 21959643, + 67707123 + ], + [ + 15950071, + 4094425 + ], + [ + 15574873, + 95354102 + ], + [ + 58007645, + 4499315 + ], + [ + 81182240, + 96420497 + ], + [ + 24830922, + 37679198 + ], + [ + 17050393, + 69172820 + ], + [ + 1392047, + 53975342 + ], + [ + 26041494, + 16230361 + ], + [ + 683606, + 85480534 + ], + [ + 94506735, + 38896559 + ], + [ + 34185902, + 48179029 + ], + [ + 31562507, + 2505878 + ], + [ + 55838728, + 20750779 + ], + [ + 2601316, + 44583461 + ], + [ + 93914463, + 98493226 + ], + [ + 28135591, + 30491808 + ], + [ + 22491942, + 821713 + ], + [ + 30069786, + 19810122 + ], + [ + 56596784, + 69688049 + ], + [ + 86265352, + 40149366 + ], + [ + 92540043, + 89572895 + ], + [ + 60923457, + 6445394 + ], + [ + 74379737, + 14602961 + ], + [ + 43696254, + 5910439 + ], + [ + 2328304, + 82538368 + ], + [ + 21435324, + 2194250 + ], + [ + 76402708, + 60357547 + ], + [ + 11178813, + 54727097 + ], + [ + 17431546, + 89550746 + ], + [ + 21359684, + 55721725 + ], + [ + 70393931, + 2863785 + ], + [ + 5129334, + 91948088 + ], + [ + 83534203, + 54201461 + ], + [ + 96866697, + 29867286 + ], + [ + 39237948, + 83633057 + ], + [ + 11508028, + 26666884 + ], + [ + 8885740, + 49106141 + ], + [ + 4691384, + 58236837 + ], + [ + 64733714, + 7146767 + ], + [ + 28097065, + 17121930 + ], + [ + 93339523, + 21406100 + ], + [ + 61235363, + 8718133 + ], + [ + 76609790, + 62673667 + ], + [ + 93113073, + 95843315 + ], + [ + 40922659, + 5666923 + ], + [ + 91241135, + 82366455 + ], + [ + 55903206, + 20503648 + ], + [ + 97210691, + 46114392 + ], + [ + 87230957, + 85009748 + ], + [ + 29466075, + 84113746 + ], + [ + 15166440, + 13259727 + ], + [ + 81501254, + 62764155 + ], + [ + 23366642, + 23745907 + ], + [ + 89809659, + 63372064 + ], + [ + 21371691, + 82495172 + ], + [ + 40326560, + 62935257 + ], + [ + 73873264, + 62109114 + ], + [ + 67872566, + 82631807 + ], + [ + 73609864, + 72034364 + ], + [ + 74002974, + 62310335 + ], + [ + 7113941, + 85026848 + ], + [ + 12962049, + 20764259 + ], + [ + 97531424, + 41939367 + ], + [ + 53386081, + 60900677 + ], + [ + 87268734, + 92554331 + ], + [ + 38958720, + 27802325 + ], + [ + 4907950, + 12240760 + ], + [ + 79457612, + 67444631 + ], + [ + 42157417, + 13313396 + ], + [ + 33996611, + 55299520 + ], + [ + 63048283, + 45302647 + ], + [ + 43344443, + 85261182 + ], + [ + 81455663, + 27226815 + ], + [ + 85906046, + 82073384 + ], + [ + 59171956, + 45486786 + ], + [ + 38019562, + 45815101 + ], + [ + 31350522, + 13897074 + ], + [ + 72096454, + 29283057 + ], + [ + 13815328, + 96698384 + ], + [ + 45788813, + 38012621 + ], + [ + 51055095, + 26631753 + ], + [ + 31483962, + 36599507 + ], + [ + 27253815, + 90757268 + ], + [ + 86661668, + 82892158 + ], + [ + 39541786, + 40732944 + ], + [ + 52780665, + 87875213 + ], + [ + 74088836, + 94644791 + ], + [ + 44343898, + 575600 + ], + [ + 84463877, + 86310398 + ], + [ + 40395581, + 56968111 + ], + [ + 51449537, + 66860450 + ], + [ + 45868679, + 57884465 + ], + [ + 85162021, + 12499666 + ], + [ + 8255880, + 39365634 + ], + [ + 73712780, + 68356838 + ], + [ + 55581500, + 6925007 + ], + [ + 52409421, + 3393986 + ], + [ + 88440662, + 23746844 + ], + [ + 92924327, + 41834146 + ], + [ + 35434653, + 24847329 + ], + [ + 1639377, + 28264335 + ], + [ + 62513708, + 55670314 + ], + [ + 69658057, + 8411259 + ], + [ + 13022385, + 45000202 + ], + [ + 8126255, + 51905112 + ], + [ + 55380660, + 93095566 + ], + [ + 9428610, + 40890414 + ], + [ + 37702938, + 454462 + ], + [ + 72726845, + 81776445 + ], + [ + 68232441, + 32942838 + ], + [ + 38706811, + 35448134 + ], + [ + 22789580, + 71563136 + ], + [ + 17299312, + 43773811 + ], + [ + 6579752, + 69587085 + ], + [ + 40900106, + 98356260 + ], + [ + 63224607, + 67039114 + ], + [ + 36703550, + 77352145 + ], + [ + 81071053, + 49931230 + ], + [ + 4065500, + 46318316 + ], + [ + 16507805, + 75532928 + ], + [ + 28738795, + 70255005 + ], + [ + 78167426, + 28344545 + ], + [ + 98385331, + 48062320 + ], + [ + 66037921, + 59681445 + ], + [ + 40769580, + 57035720 + ], + [ + 89594949, + 43277376 + ], + [ + 24660786, + 14424217 + ], + [ + 16200761, + 90856380 + ], + [ + 59328932, + 56598040 + ], + [ + 27414960, + 82057874 + ], + [ + 46787842, + 10898358 + ], + [ + 12541180, + 18881020 + ], + [ + 54887881, + 97204144 + ], + [ + 83691541, + 37944432 + ], + [ + 1583959, + 31178739 + ], + [ + 28112033, + 27323214 + ], + [ + 56519148, + 4900040 + ], + [ + 38500445, + 90565318 + ], + [ + 62733803, + 40145908 + ], + [ + 75207148, + 73435197 + ], + [ + 49054415, + 36006420 + ], + [ + 29177973, + 16370498 + ], + [ + 2543924, + 85601417 + ], + [ + 67473403, + 33822507 + ], + [ + 43052665, + 8707073 + ], + [ + 92380594, + 56031677 + ], + [ + 25313193, + 13740199 + ], + [ + 21532058, + 45906656 + ], + [ + 45753619, + 35110190 + ], + [ + 58137929, + 16165982 + ], + [ + 28046, + 89571073 + ], + [ + 77277476, + 34823087 + ], + [ + 88461797, + 34623976 + ], + [ + 65856857, + 66008127 + ], + [ + 46578649, + 48569703 + ], + [ + 78372110, + 39266159 + ], + [ + 94636496, + 3617023 + ], + [ + 93235768, + 68877931 + ], + [ + 28035510, + 90190550 + ], + [ + 89195051, + 26994732 + ], + [ + 40581935, + 52469444 + ], + [ + 93445407, + 8540477 + ], + [ + 99180625, + 60810996 + ], + [ + 3030868, + 57549558 + ], + [ + 52661386, + 88242827 + ], + [ + 61236347, + 96651953 + ], + [ + 53307212, + 53539291 + ], + [ + 91904179, + 89421190 + ], + [ + 12435306, + 51239342 + ], + [ + 67554603, + 93401584 + ], + [ + 13341859, + 76219270 + ], + [ + 54400830, + 90204980 + ], + [ + 89404114, + 15600080 + ], + [ + 93042223, + 56288026 + ], + [ + 15218402, + 24310678 + ], + [ + 31669032, + 75284054 + ], + [ + 91036592, + 88673860 + ], + [ + 52004004, + 98699881 + ], + [ + 36894596, + 36610879 + ], + [ + 61887967, + 63320514 + ], + [ + 62599763, + 35711403 + ], + [ + 46115659, + 30477597 + ], + [ + 84497636, + 61576880 + ], + [ + 2900037, + 23642004 + ], + [ + 17112940, + 30748504 + ], + [ + 72712617, + 23509919 + ], + [ + 93426002, + 96333154 + ], + [ + 44959914, + 77352369 + ], + [ + 83010473, + 28261299 + ], + [ + 3391378, + 25752082 + ], + [ + 91190694, + 14484010 + ], + [ + 74204574, + 35983144 + ], + [ + 96829018, + 89323573 + ], + [ + 25367099, + 80518317 + ], + [ + 526379, + 8172102 + ], + [ + 30695253, + 71101807 + ], + [ + 66822899, + 35041477 + ], + [ + 91687288, + 97474805 + ], + [ + 75503739, + 41957028 + ], + [ + 82867422, + 1262240 + ], + [ + 63474081, + 86364537 + ], + [ + 47268660, + 70412135 + ], + [ + 96042109, + 6401068 + ], + [ + 62345932, + 10157608 + ], + [ + 22214211, + 14859354 + ], + [ + 59103271, + 71263131 + ], + [ + 78264733, + 74569256 + ], + [ + 40196600, + 26982222 + ], + [ + 44542782, + 4019049 + ], + [ + 19060243, + 37873608 + ], + [ + 10939521, + 248775 + ], + [ + 2454477, + 90661133 + ], + [ + 82800906, + 18071327 + ], + [ + 463081, + 84412965 + ], + [ + 16424935, + 58994840 + ], + [ + 51691200, + 2474630 + ], + [ + 69918477, + 91810197 + ], + [ + 62330756, + 69870671 + ], + [ + 44576042, + 76165025 + ], + [ + 7824951, + 81425794 + ], + [ + 78005534, + 94506623 + ], + [ + 40574213, + 38567336 + ], + [ + 79412745, + 55975522 + ], + [ + 63406150, + 68855888 + ], + [ + 46329714, + 66027977 + ], + [ + 10461624, + 21399509 + ], + [ + 22378100, + 16887077 + ], + [ + 49169589, + 9869672 + ], + [ + 54029589, + 83979548 + ], + [ + 5456988, + 15609257 + ], + [ + 41853885, + 43149067 + ], + [ + 52520423, + 92894459 + ], + [ + 48861594, + 47819760 + ], + [ + 68636294, + 93208534 + ], + [ + 78832950, + 91444769 + ], + [ + 40319756, + 91213809 + ], + [ + 5459074, + 60633592 + ], + [ + 6339052, + 10809663 + ], + [ + 49348431, + 28558284 + ], + [ + 80291429, + 56215133 + ], + [ + 59191671, + 45637693 + ], + [ + 54080782, + 28030403 + ], + [ + 50966344, + 33034766 + ], + [ + 49165934, + 28445889 + ], + [ + 38465650, + 32938224 + ], + [ + 56661942, + 25550742 + ], + [ + 42160543, + 25764000 + ], + [ + 3636131, + 17874025 + ], + [ + 13573539, + 83190146 + ], + [ + 91126975, + 16392573 + ], + [ + 96020768, + 67229942 + ], + [ + 94145957, + 25644142 + ], + [ + 16934907, + 98685093 + ], + [ + 12973040, + 27982546 + ], + [ + 81320677, + 3351508 + ], + [ + 30615642, + 12896155 + ], + [ + 4631085, + 5776071 + ], + [ + 77396885, + 67384510 + ], + [ + 91732348, + 74773358 + ], + [ + 18323321, + 42548093 + ], + [ + 99992099, + 46969385 + ], + [ + 27488752, + 13770130 + ], + [ + 44973939, + 49922350 + ], + [ + 55559362, + 70466955 + ], + [ + 87551800, + 30628575 + ], + [ + 86667670, + 41132997 + ], + [ + 44245172, + 17918337 + ], + [ + 72432899, + 11411545 + ], + [ + 95806667, + 19360245 + ], + [ + 27873675, + 37521422 + ], + [ + 71029703, + 32765413 + ], + [ + 48383188, + 43751012 + ], + [ + 13162416, + 51278942 + ], + [ + 4417512, + 53634255 + ], + [ + 4979736, + 88631162 + ], + [ + 83538978, + 76163574 + ], + [ + 14997228, + 58404336 + ], + [ + 14781241, + 97491147 + ], + [ + 59269638, + 62180170 + ], + [ + 21881356, + 71861203 + ], + [ + 90022400, + 54717217 + ], + [ + 25583070, + 42937470 + ], + [ + 39125705, + 62404117 + ], + [ + 53141740, + 7025830 + ], + [ + 7641564, + 73796933 + ], + [ + 4496083, + 63473988 + ], + [ + 49178956, + 64730642 + ], + [ + 23180914, + 63083459 + ], + [ + 31672029, + 44235701 + ], + [ + 57406729, + 78692483 + ], + [ + 15294767, + 19503424 + ], + [ + 82053438, + 18828456 + ], + [ + 96570175, + 40582754 + ], + [ + 56190370, + 98328480 + ], + [ + 52677378, + 76720217 + ], + [ + 8109958, + 81883232 + ], + [ + 48952115, + 97072526 + ], + [ + 82886679, + 27068401 + ], + [ + 66249290, + 24924957 + ], + [ + 7288553, + 85534454 + ], + [ + 34975422, + 12297432 + ], + [ + 3605027, + 97266722 + ], + [ + 6157395, + 86485928 + ], + [ + 73780515, + 42753437 + ], + [ + 52884886, + 45952465 + ], + [ + 53505338, + 38154795 + ], + [ + 92611147, + 37414559 + ], + [ + 15422240, + 49320039 + ], + [ + 9404858, + 58908024 + ], + [ + 73281831, + 7313388 + ], + [ + 71460785, + 46593924 + ], + [ + 71197018, + 95419945 + ], + [ + 93667340, + 59972759 + ], + [ + 66845363, + 83179022 + ], + [ + 14419729, + 56286570 + ], + [ + 28922390, + 25079997 + ], + [ + 23078778, + 68064820 + ], + [ + 33975241, + 76042744 + ], + [ + 42852126, + 8710324 + ], + [ + 39568837, + 2172988 + ], + [ + 83218940, + 91247113 + ], + [ + 16540554, + 84658404 + ], + [ + 38875451, + 60517190 + ], + [ + 34829786, + 21337564 + ], + [ + 41740039, + 4047455 + ], + [ + 91850167, + 57846213 + ], + [ + 56028316, + 75635708 + ], + [ + 91755180, + 68044400 + ], + [ + 16944050, + 73341057 + ], + [ + 51173104, + 59299906 + ], + [ + 7833252, + 44707130 + ], + [ + 30963726, + 58538881 + ], + [ + 20373242, + 51242128 + ], + [ + 39964466, + 38169931 + ], + [ + 36249762, + 23093514 + ], + [ + 62252193, + 26328155 + ], + [ + 73111345, + 92642082 + ], + [ + 49417393, + 92280361 + ], + [ + 55809260, + 26347567 + ], + [ + 50607175, + 16208117 + ], + [ + 77298349, + 67774104 + ], + [ + 3838319, + 81871383 + ], + [ + 37864679, + 42151232 + ], + [ + 82646770, + 69304604 + ], + [ + 8443560, + 99605895 + ], + [ + 87119865, + 94328736 + ], + [ + 60443259, + 55035219 + ], + [ + 57597431, + 60713592 + ], + [ + 84482263, + 13066747 + ], + [ + 635264, + 8951447 + ], + [ + 20050526, + 48701518 + ], + [ + 53796996, + 45345881 + ], + [ + 94159630, + 81214815 + ], + [ + 79445963, + 26955298 + ], + [ + 24606439, + 59885399 + ], + [ + 83490725, + 79726538 + ], + [ + 79836856, + 21883970 + ], + [ + 15854166, + 52444204 + ], + [ + 75977659, + 20767607 + ], + [ + 60196482, + 23751266 + ], + [ + 18465065, + 65158303 + ], + [ + 7852193, + 74659522 + ], + [ + 10688321, + 16536110 + ], + [ + 25841498, + 43003276 + ], + [ + 86795477, + 26888905 + ], + [ + 90269908, + 37457366 + ], + [ + 78801866, + 71453146 + ], + [ + 94764266, + 77103415 + ], + [ + 42018834, + 7364648 + ], + [ + 52271247, + 88435175 + ], + [ + 99584021, + 47815335 + ], + [ + 35706277, + 73857598 + ], + [ + 12054520, + 63293214 + ], + [ + 21840991, + 67376142 + ], + [ + 31785092, + 73648468 + ], + [ + 93955563, + 42158942 + ], + [ + 96050897, + 70271252 + ], + [ + 95173793, + 39779133 + ], + [ + 30439341, + 97420992 + ], + [ + 76586568, + 23531011 + ], + [ + 6275269, + 87809280 + ], + [ + 43949429, + 89232201 + ], + [ + 6544568, + 13322217 + ], + [ + 72556861, + 33203930 + ], + [ + 68409825, + 53948519 + ], + [ + 97233397, + 23627908 + ], + [ + 9201490, + 34839524 + ], + [ + 48762285, + 45604210 + ], + [ + 27347935, + 20182384 + ], + [ + 97289897, + 83829295 + ], + [ + 18301886, + 39533693 + ], + [ + 36284965, + 41291749 + ], + [ + 63841144, + 5175803 + ], + [ + 56198897, + 14273829 + ], + [ + 34680364, + 46782288 + ], + [ + 87915710, + 99695404 + ], + [ + 47535312, + 93631605 + ], + [ + 45645435, + 86589719 + ], + [ + 9367360, + 16726579 + ], + [ + 56814392, + 32919440 + ], + [ + 10478133, + 20055860 + ], + [ + 50675131, + 9967156 + ], + [ + 24258132, + 67284829 + ], + [ + 96201968, + 63474799 + ], + [ + 23659118, + 30822905 + ], + [ + 41199541, + 83949895 + ], + [ + 13312519, + 75597091 + ], + [ + 31869833, + 94317860 + ], + [ + 36241049, + 75730095 + ], + [ + 80218684, + 95356722 + ], + [ + 4118709, + 75788057 + ], + [ + 7863691, + 41572132 + ], + [ + 22246368, + 30036694 + ], + [ + 82386442, + 25502221 + ], + [ + 70529918, + 81252043 + ], + [ + 1333828, + 79306977 + ], + [ + 91172375, + 17636928 + ], + [ + 20436850, + 53798671 + ], + [ + 18678004, + 91722357 + ], + [ + 96319435, + 18157174 + ], + [ + 20636641, + 9527217 + ], + [ + 78646686, + 43084553 + ], + [ + 38949207, + 74513345 + ], + [ + 80524383, + 22516324 + ], + [ + 27128510, + 94837262 + ], + [ + 10668561, + 44651789 + ], + [ + 47327973, + 68934619 + ], + [ + 23881534, + 80077623 + ], + [ + 36555402, + 8435836 + ], + [ + 88966921, + 36864704 + ], + [ + 26047389, + 25193508 + ], + [ + 43202593, + 41384079 + ], + [ + 860592, + 61546959 + ], + [ + 77994568, + 74460325 + ], + [ + 56216713, + 15991893 + ], + [ + 9945205, + 80961316 + ], + [ + 12746972, + 89755961 + ], + [ + 36990919, + 6128863 + ], + [ + 44474198, + 61067658 + ], + [ + 41757974, + 6041466 + ], + [ + 46421587, + 94149642 + ], + [ + 86443144, + 72456952 + ], + [ + 36662613, + 98925265 + ], + [ + 5659677, + 31570554 + ], + [ + 87758347, + 54188049 + ], + [ + 66251931, + 61134776 + ], + [ + 8596796, + 77222996 + ], + [ + 41344848, + 12995952 + ], + [ + 219541, + 97664533 + ], + [ + 64534861, + 66522934 + ], + [ + 74485777, + 4748069 + ], + [ + 2147719, + 66301841 + ], + [ + 73656128, + 72933848 + ], + [ + 8291475, + 36483512 + ], + [ + 20072330, + 7953572 + ], + [ + 97941275, + 43774376 + ], + [ + 92657252, + 67931805 + ], + [ + 25034564, + 96302886 + ], + [ + 39041570, + 79080774 + ], + [ + 10521975, + 86241590 + ], + [ + 91982551, + 34841359 + ], + [ + 88607711, + 59389084 + ], + [ + 95636727, + 38949821 + ], + [ + 42158966, + 31107475 + ], + [ + 12946404, + 52693566 + ], + [ + 68304866, + 76802133 + ], + [ + 98014128, + 67295058 + ], + [ + 84275275, + 84505800 + ], + [ + 37047171, + 56688499 + ], + [ + 10171542, + 70416229 + ], + [ + 57534429, + 42749806 + ], + [ + 29602226, + 45121141 + ], + [ + 57173367, + 29634655 + ], + [ + 44722969, + 99280151 + ], + [ + 19619114, + 50496080 + ], + [ + 69614724, + 96189872 + ], + [ + 17873674, + 95453130 + ], + [ + 68412234, + 50473261 + ], + [ + 35982957, + 25179696 + ], + [ + 93416858, + 70111768 + ], + [ + 29978923, + 35766921 + ], + [ + 93077747, + 79288982 + ], + [ + 93814636, + 51289714 + ], + [ + 43661884, + 98317969 + ], + [ + 32651622, + 79218018 + ], + [ + 63705777, + 96611139 + ], + [ + 63381226, + 32332550 + ], + [ + 85081975, + 2651373 + ], + [ + 44954788, + 77349387 + ], + [ + 18073516, + 98267375 + ], + [ + 66097999, + 7042060 + ], + [ + 97665441, + 45965166 + ], + [ + 91621412, + 14562031 + ], + [ + 92857719, + 82113516 + ], + [ + 78379795, + 58305189 + ], + [ + 97101999, + 36997844 + ], + [ + 73773835, + 72118278 + ], + [ + 31755309, + 64752395 + ], + [ + 77602518, + 73347295 + ], + [ + 67532151, + 42648623 + ], + [ + 95429008, + 25654954 + ], + [ + 8450055, + 69856971 + ], + [ + 83036451, + 28884700 + ], + [ + 20767580, + 83085648 + ], + [ + 45034000, + 44655033 + ], + [ + 74904901, + 11273809 + ], + [ + 38898917, + 4048223 + ], + [ + 92893704, + 47329867 + ], + [ + 22621267, + 35578140 + ], + [ + 67451064, + 64135726 + ], + [ + 32232838, + 50392656 + ], + [ + 29590447, + 6477306 + ], + [ + 1645505, + 41244278 + ], + [ + 46101057, + 48702204 + ], + [ + 71545810, + 14724731 + ], + [ + 53175644, + 65019931 + ], + [ + 34792796, + 43350575 + ], + [ + 54771150, + 1059291 + ], + [ + 68501460, + 2662881 + ], + [ + 29214912, + 28353010 + ], + [ + 52466341, + 59521170 + ], + [ + 82363443, + 31457061 + ], + [ + 78855635, + 11474740 + ], + [ + 80604021, + 7388621 + ], + [ + 32881317, + 83039332 + ], + [ + 73170188, + 59634822 + ], + [ + 64985781, + 46958861 + ], + [ + 65851093, + 49254423 + ], + [ + 95274861, + 17280687 + ], + [ + 73123276, + 23141226 + ], + [ + 87583158, + 72268108 + ], + [ + 48171408, + 77099925 + ], + [ + 56506647, + 73893700 + ], + [ + 16780886, + 32392356 + ], + [ + 25551446, + 63877093 + ], + [ + 64103840, + 37841962 + ], + [ + 81992882, + 58526612 + ], + [ + 31629009, + 84002273 + ], + [ + 22384771, + 93554056 + ], + [ + 69692418, + 88488377 + ], + [ + 71674405, + 11126997 + ], + [ + 64761201, + 94203220 + ], + [ + 14702530, + 99873452 + ], + [ + 50701436, + 57362742 + ], + [ + 72825659, + 54708446 + ], + [ + 7442442, + 91389826 + ], + [ + 66519237, + 43576740 + ], + [ + 15647774, + 66944003 + ], + [ + 42682572, + 60621094 + ], + [ + 31327783, + 16289872 + ], + [ + 20037304, + 24939503 + ], + [ + 60981929, + 11620410 + ], + [ + 82190209, + 50113645 + ], + [ + 51074862, + 94880340 + ], + [ + 31275740, + 10799207 + ], + [ + 99346717, + 19806297 + ], + [ + 97179798, + 60451606 + ], + [ + 90554049, + 32638285 + ], + [ + 63802401, + 25551489 + ], + [ + 35816640, + 93852078 + ], + [ + 74297767, + 51253087 + ], + [ + 59721314, + 37833618 + ], + [ + 58428462, + 57170902 + ], + [ + 43394964, + 5793791 + ], + [ + 92152708, + 95618375 + ], + [ + 70789179, + 93496722 + ], + [ + 68954271, + 47396113 + ], + [ + 18956812, + 47414163 + ], + [ + 76544013, + 59801809 + ], + [ + 98596645, + 21858386 + ], + [ + 30768443, + 63551385 + ], + [ + 81965634, + 30590726 + ], + [ + 94706213, + 26620460 + ], + [ + 36833039, + 25898599 + ], + [ + 27047017, + 76668675 + ], + [ + 52838546, + 51761825 + ], + [ + 96354500, + 62259399 + ], + [ + 20840655, + 62759251 + ], + [ + 52116080, + 12604005 + ], + [ + 98275595, + 40309994 + ], + [ + 82569661, + 88756137 + ], + [ + 7467715, + 92464527 + ], + [ + 45311656, + 10915795 + ], + [ + 2136340, + 67688242 + ], + [ + 39793069, + 13470600 + ], + [ + 2877104, + 21376186 + ], + [ + 11707928, + 62217931 + ], + [ + 26794196, + 68965508 + ], + [ + 4396762, + 23113898 + ], + [ + 51545620, + 69206426 + ], + [ + 58611921, + 58308717 + ], + [ + 57056131, + 71366029 + ], + [ + 32766570, + 5524712 + ], + [ + 77108010, + 52611888 + ], + [ + 41768231, + 38102754 + ], + [ + 47403216, + 64434314 + ], + [ + 14284174, + 63223590 + ], + [ + 19133778, + 4916886 + ], + [ + 622670, + 71460143 + ], + [ + 43491184, + 11777749 + ], + [ + 54715408, + 64476849 + ], + [ + 91953019, + 77493393 + ], + [ + 93559638, + 52322773 + ], + [ + 28157501, + 19614392 + ], + [ + 98497399, + 31201181 + ], + [ + 45993901, + 1414079 + ], + [ + 60762173, + 45484198 + ], + [ + 68379587, + 76888763 + ], + [ + 83659539, + 48538876 + ], + [ + 3499199, + 757429 + ], + [ + 10409112, + 31056058 + ], + [ + 40036385, + 76371951 + ], + [ + 97695182, + 21886802 + ], + [ + 26401900, + 12396718 + ], + [ + 39961612, + 90731806 + ], + [ + 55782485, + 58596072 + ], + [ + 5716183, + 40694577 + ], + [ + 39673445, + 74598638 + ], + [ + 23623146, + 7892790 + ], + [ + 63117950, + 48181083 + ], + [ + 60526587, + 72501048 + ], + [ + 7808670, + 8461092 + ], + [ + 13018304, + 66901085 + ], + [ + 23180058, + 59590443 + ], + [ + 79926342, + 54678164 + ], + [ + 94971856, + 78618400 + ], + [ + 38693999, + 77859592 + ], + [ + 7207018, + 60446084 + ], + [ + 64859244, + 59090243 + ], + [ + 13698642, + 22991272 + ], + [ + 36834520, + 95968303 + ], + [ + 20382162, + 10316574 + ], + [ + 11714595, + 49388154 + ], + [ + 12333410, + 88201629 + ], + [ + 649713, + 13837526 + ], + [ + 46248650, + 31971202 + ], + [ + 33539657, + 93213268 + ], + [ + 22765206, + 26345165 + ], + [ + 47950409, + 57344552 + ], + [ + 42181337, + 31512172 + ], + [ + 84368685, + 42884984 + ], + [ + 44603132, + 32122565 + ], + [ + 32381341, + 42757993 + ], + [ + 71117992, + 22301443 + ], + [ + 65234382, + 87358478 + ], + [ + 91992674, + 87703708 + ], + [ + 69361287, + 58655518 + ], + [ + 8753811, + 60465417 + ], + [ + 54417560, + 66176001 + ], + [ + 78113203, + 4928638 + ], + [ + 59937780, + 84028471 + ], + [ + 59962601, + 80633266 + ], + [ + 61558334, + 95974919 + ], + [ + 59496476, + 19407118 + ], + [ + 49771975, + 27314266 + ], + [ + 28272001, + 90098983 + ], + [ + 30886060, + 37194985 + ], + [ + 50363776, + 7264643 + ], + [ + 55738449, + 87953055 + ], + [ + 57078986, + 18444662 + ], + [ + 83731145, + 5241201 + ], + [ + 36475501, + 76079475 + ], + [ + 58320195, + 50045204 + ], + [ + 73791934, + 34829533 + ], + [ + 12513893, + 48953395 + ], + [ + 39084223, + 62470309 + ], + [ + 45675888, + 47668860 + ], + [ + 20082349, + 6896968 + ], + [ + 58451777, + 36838618 + ], + [ + 45932576, + 9043369 + ], + [ + 11851921, + 32082982 + ], + [ + 85743031, + 21221007 + ], + [ + 45422605, + 22522422 + ], + [ + 72888410, + 63439305 + ], + [ + 22254283, + 18153733 + ], + [ + 97555420, + 86339842 + ], + [ + 95863585, + 62808680 + ], + [ + 6586556, + 33326822 + ], + [ + 22364056, + 41170382 + ], + [ + 10289279, + 20430887 + ], + [ + 46544051, + 78303899 + ], + [ + 29532456, + 74392589 + ], + [ + 96613409, + 56910956 + ], + [ + 22482263, + 51713187 + ], + [ + 2367544, + 14137489 + ], + [ + 89818470, + 99112513 + ], + [ + 80813164, + 47351216 + ], + [ + 10156474, + 12718194 + ], + [ + 83023296, + 62198495 + ], + [ + 33593518, + 69116034 + ], + [ + 87137433, + 41643550 + ], + [ + 59824744, + 74534201 + ], + [ + 98268129, + 16508181 + ], + [ + 64971072, + 99610679 + ], + [ + 14134674, + 71640523 + ], + [ + 43048512, + 36284997 + ], + [ + 6859844, + 64347358 + ], + [ + 13729381, + 42121261 + ], + [ + 71200790, + 28503316 + ], + [ + 47003598, + 79615621 + ], + [ + 90298869, + 52961547 + ], + [ + 12217580, + 11937917 + ], + [ + 52162588, + 47703545 + ], + [ + 3753119, + 43947563 + ], + [ + 90639709, + 56460182 + ], + [ + 80623100, + 48977783 + ], + [ + 78573481, + 93981748 + ], + [ + 40777146, + 9302544 + ], + [ + 38777490, + 10496363 + ], + [ + 29765347, + 7583602 + ], + [ + 46033373, + 27418406 + ], + [ + 58400567, + 63625483 + ], + [ + 72892378, + 51291972 + ], + [ + 45443922, + 3009235 + ], + [ + 2916248, + 30275082 + ], + [ + 18079790, + 23993408 + ], + [ + 23126920, + 40346163 + ], + [ + 31242626, + 42556184 + ], + [ + 60255924, + 55936074 + ], + [ + 900102, + 19029274 + ], + [ + 17165288, + 11065329 + ], + [ + 70424988, + 18261944 + ], + [ + 18251413, + 45095030 + ], + [ + 12237298, + 38477960 + ], + [ + 86651227, + 10738032 + ], + [ + 99926699, + 81118662 + ], + [ + 64249369, + 16718305 + ], + [ + 57131747, + 53732943 + ], + [ + 72641413, + 42677572 + ], + [ + 51285716, + 76829700 + ], + [ + 23909698, + 32261278 + ], + [ + 40010706, + 27457102 + ], + [ + 17605462, + 19558261 + ], + [ + 43759927, + 59066972 + ], + [ + 84274884, + 24405954 + ], + [ + 93864014, + 80584241 + ], + [ + 33412581, + 28037166 + ], + [ + 39224788, + 3894507 + ], + [ + 78721741, + 76915190 + ], + [ + 93162683, + 83210782 + ], + [ + 59330234, + 13584133 + ], + [ + 31177634, + 81726054 + ], + [ + 72470950, + 86887568 + ], + [ + 42180237, + 31868947 + ], + [ + 50450016, + 6819356 + ], + [ + 19577430, + 99595805 + ], + [ + 10284590, + 38691158 + ], + [ + 36524309, + 14756637 + ], + [ + 34178128, + 22380129 + ], + [ + 39153271, + 7962891 + ], + [ + 69536168, + 59837496 + ], + [ + 57039125, + 52967717 + ], + [ + 7398719, + 62053990 + ], + [ + 64228115, + 76286569 + ], + [ + 59249039, + 34661153 + ], + [ + 34013428, + 71307091 + ], + [ + 35438731, + 84603143 + ], + [ + 66829081, + 99141552 + ], + [ + 60610257, + 37654319 + ], + [ + 34373309, + 75159890 + ], + [ + 36313104, + 18001757 + ], + [ + 61877023, + 64784041 + ], + [ + 95569263, + 94559930 + ], + [ + 22723821, + 85024056 + ], + [ + 94856515, + 66826263 + ], + [ + 78313459, + 74332673 + ], + [ + 28562902, + 41412669 + ], + [ + 59270997, + 64377165 + ], + [ + 25067587, + 54410374 + ], + [ + 40904595, + 79311261 + ], + [ + 90553179, + 78700144 + ], + [ + 55473421, + 55856264 + ], + [ + 99847610, + 86721016 + ], + [ + 84482884, + 57718864 + ], + [ + 2195958, + 68606874 + ], + [ + 81423004, + 27621287 + ], + [ + 22357057, + 53162038 + ], + [ + 39431365, + 26671049 + ], + [ + 9752270, + 56309902 + ], + [ + 61295213, + 70347242 + ], + [ + 25308825, + 1980830 + ], + [ + 69166818, + 67677413 + ], + [ + 35214494, + 23039482 + ], + [ + 85696376, + 93687094 + ], + [ + 17140653, + 94855221 + ], + [ + 14342726, + 73911419 + ], + [ + 79294056, + 50634047 + ], + [ + 59689419, + 93002817 + ], + [ + 95475087, + 54798817 + ], + [ + 54137110, + 7887944 + ], + [ + 63056699, + 85613642 + ], + [ + 15560439, + 94576118 + ], + [ + 66999874, + 69257741 + ], + [ + 54694584, + 48521381 + ], + [ + 99788438, + 3736109 + ], + [ + 60021591, + 48170575 + ], + [ + 23699891, + 92690895 + ], + [ + 22309743, + 17072816 + ], + [ + 54117090, + 68039188 + ], + [ + 61409440, + 56553510 + ], + [ + 8076919, + 19879762 + ], + [ + 65923860, + 91775783 + ], + [ + 830552, + 10901833 + ], + [ + 53558242, + 61142914 + ], + [ + 23981694, + 65169119 + ], + [ + 90822226, + 30323120 + ], + [ + 17421377, + 17171814 + ], + [ + 6224249, + 68627904 + ], + [ + 19409406, + 37786775 + ], + [ + 36019478, + 90742126 + ], + [ + 40924844, + 3149427 + ], + [ + 11583596, + 32994635 + ], + [ + 61555661, + 46093356 + ], + [ + 71339314, + 66961541 + ], + [ + 96319570, + 137938 + ], + [ + 21956443, + 18753186 + ], + [ + 38640761, + 8096553 + ], + [ + 75616006, + 71829678 + ], + [ + 94244801, + 97476613 + ], + [ + 34483229, + 57776226 + ], + [ + 24510801, + 35039518 + ], + [ + 59544169, + 47715684 + ], + [ + 31028529, + 30444677 + ], + [ + 80606524, + 3243888 + ], + [ + 82111360, + 44576858 + ], + [ + 44026588, + 58122959 + ], + [ + 79303954, + 69924516 + ], + [ + 28801479, + 48820687 + ], + [ + 13382603, + 14999039 + ], + [ + 72907403, + 11423092 + ], + [ + 26835233, + 40424456 + ], + [ + 59493517, + 68605174 + ], + [ + 74774983, + 69067380 + ], + [ + 42750930, + 16192910 + ], + [ + 59479037, + 29752470 + ], + [ + 65458126, + 60323509 + ], + [ + 62499174, + 19058272 + ], + [ + 86856741, + 91707362 + ], + [ + 87975456, + 90839592 + ], + [ + 46948632, + 87235997 + ], + [ + 65551852, + 37242174 + ], + [ + 348785, + 37640331 + ], + [ + 62197783, + 26596327 + ], + [ + 70505438, + 34317410 + ], + [ + 35891897, + 72290997 + ], + [ + 26890728, + 91319136 + ], + [ + 7792957, + 81704029 + ], + [ + 60011050, + 78420461 + ], + [ + 50229376, + 56545964 + ], + [ + 67107103, + 92893934 + ], + [ + 39700714, + 41210066 + ], + [ + 15654790, + 85817106 + ], + [ + 37919307, + 38334444 + ], + [ + 29665016, + 77934936 + ], + [ + 12482096, + 74551543 + ], + [ + 40211229, + 40798569 + ], + [ + 6457576, + 58984191 + ], + [ + 43936295, + 23601704 + ], + [ + 47727740, + 14773181 + ], + [ + 25702865, + 77946042 + ], + [ + 33046030, + 23646485 + ], + [ + 14817549, + 77744646 + ], + [ + 63073901, + 72405623 + ], + [ + 2195466, + 8493526 + ], + [ + 33922421, + 133756 + ], + [ + 25430526, + 51732472 + ], + [ + 57204951, + 11465758 + ], + [ + 67436167, + 95879181 + ], + [ + 27665075, + 93580562 + ], + [ + 87014998, + 48181151 + ], + [ + 55834945, + 87591049 + ], + [ + 11622677, + 23877224 + ], + [ + 31908142, + 62682608 + ], + [ + 10241585, + 75672451 + ], + [ + 10766835, + 12952780 + ], + [ + 2633234, + 40381784 + ], + [ + 22620864, + 64911119 + ], + [ + 12663525, + 61794717 + ], + [ + 52943826, + 74415923 + ], + [ + 27247127, + 95527067 + ], + [ + 25947762, + 36209740 + ], + [ + 20439287, + 15542707 + ], + [ + 36580231, + 17870735 + ], + [ + 2923744, + 73691227 + ], + [ + 32228569, + 97756236 + ], + [ + 46147702, + 48644824 + ], + [ + 60755674, + 52072464 + ], + [ + 96422574, + 24163454 + ], + [ + 13090357, + 99799153 + ], + [ + 45651054, + 85383518 + ], + [ + 44434212, + 44622629 + ], + [ + 27281197, + 22069512 + ], + [ + 86998196, + 35349914 + ], + [ + 78883555, + 31321463 + ], + [ + 81954376, + 94558777 + ], + [ + 59193343, + 22168086 + ], + [ + 60215116, + 70827454 + ], + [ + 50176930, + 34137434 + ], + [ + 60758998, + 128335 + ], + [ + 37099621, + 24301447 + ], + [ + 96849397, + 6253319 + ], + [ + 87620561, + 82744739 + ], + [ + 41794609, + 84480433 + ], + [ + 36636472, + 77129928 + ], + [ + 45436210, + 33514495 + ], + [ + 3716702, + 19659719 + ], + [ + 47932069, + 38339816 + ], + [ + 62458840, + 88773037 + ], + [ + 70289688, + 13068984 + ], + [ + 73372338, + 1528810 + ], + [ + 7239216, + 20331244 + ], + [ + 49410242, + 24997286 + ], + [ + 47438825, + 97335949 + ], + [ + 26889150, + 39998870 + ], + [ + 75126911, + 73982891 + ], + [ + 7784591, + 2665461 + ], + [ + 88334186, + 79221138 + ], + [ + 2780591, + 45085358 + ], + [ + 9194952, + 90888059 + ], + [ + 2764058, + 14784536 + ], + [ + 15369187, + 82265227 + ], + [ + 97479492, + 80307663 + ], + [ + 13962242, + 87617813 + ], + [ + 96452919, + 79876289 + ], + [ + 39479034, + 79056829 + ], + [ + 75769048, + 50726959 + ], + [ + 55790763, + 92559978 + ], + [ + 95607669, + 66546201 + ], + [ + 93418729, + 11253489 + ], + [ + 40103038, + 26096652 + ], + [ + 41838839, + 41478106 + ], + [ + 62606824, + 44647563 + ], + [ + 47030397, + 90884669 + ], + [ + 62065633, + 61074540 + ], + [ + 88352993, + 28193974 + ], + [ + 95376037, + 42264297 + ], + [ + 3828378, + 85293333 + ], + [ + 44046509, + 19217080 + ], + [ + 71970424, + 53338798 + ], + [ + 49183365, + 76854266 + ], + [ + 32950106, + 86876625 + ], + [ + 20952493, + 78624499 + ], + [ + 3577893, + 69197251 + ], + [ + 96004240, + 96085358 + ], + [ + 6423111, + 69943592 + ], + [ + 69542268, + 27084848 + ], + [ + 20828291, + 27488112 + ], + [ + 1188463, + 63628825 + ], + [ + 69868992, + 80141003 + ], + [ + 69561649, + 29665276 + ], + [ + 90306792, + 17037612 + ], + [ + 31857205, + 54110761 + ], + [ + 49299787, + 48066602 + ], + [ + 29600040, + 27609186 + ], + [ + 28787437, + 74012601 + ], + [ + 20748732, + 67609200 + ], + [ + 78968437, + 73460897 + ], + [ + 30561716, + 99816528 + ], + [ + 52846438, + 35931806 + ], + [ + 63678695, + 82163483 + ], + [ + 5938924, + 55996817 + ], + [ + 23517722, + 26433539 + ], + [ + 64526396, + 99068536 + ], + [ + 54367967, + 51532276 + ], + [ + 3245350, + 62947690 + ], + [ + 33670622, + 4145012 + ], + [ + 45253291, + 47569191 + ], + [ + 22905542, + 29759175 + ], + [ + 98130990, + 81027401 + ], + [ + 65879254, + 46581726 + ], + [ + 68914837, + 91593214 + ], + [ + 96291290, + 38192910 + ], + [ + 430842, + 68221330 + ], + [ + 43951703, + 75042511 + ], + [ + 92024993, + 84947527 + ], + [ + 39575059, + 11168750 + ], + [ + 10882747, + 82797155 + ], + [ + 85414861, + 69252686 + ], + [ + 48669700, + 80974152 + ], + [ + 95225656, + 42402178 + ], + [ + 46978307, + 40835815 + ], + [ + 92311582, + 79142633 + ], + [ + 44022227, + 27983049 + ], + [ + 99697976, + 35217144 + ], + [ + 72415998, + 53828638 + ], + [ + 51100174, + 43251655 + ], + [ + 40202382, + 50097149 + ], + [ + 55678416, + 10242469 + ], + [ + 64792589, + 8414391 + ], + [ + 59608855, + 30792649 + ], + [ + 71036974, + 7075506 + ], + [ + 87808150, + 47970189 + ], + [ + 65501225, + 23510167 + ], + [ + 65369908, + 26180891 + ], + [ + 43212684, + 55919892 + ], + [ + 79106150, + 80529467 + ], + [ + 40694133, + 54083407 + ], + [ + 27981235, + 74976049 + ], + [ + 99238214, + 42982325 + ], + [ + 21247956, + 24343798 + ], + [ + 92109447, + 45750511 + ], + [ + 23644148, + 38325504 + ], + [ + 96243773, + 40320222 + ], + [ + 71512943, + 52710768 + ], + [ + 78358668, + 75727417 + ], + [ + 44707673, + 93771530 + ], + [ + 98738142, + 26351324 + ], + [ + 92247646, + 44306845 + ], + [ + 70257792, + 97383704 + ], + [ + 49242479, + 99662934 + ], + [ + 22781921, + 41740226 + ], + [ + 59845059, + 89137130 + ], + [ + 6354777, + 185216 + ], + [ + 6208038, + 49852802 + ], + [ + 33856139, + 21151611 + ], + [ + 21636576, + 27012765 + ], + [ + 11054948, + 71617117 + ], + [ + 27921823, + 35192177 + ], + [ + 78226396, + 49457829 + ], + [ + 53465954, + 2790137 + ], + [ + 90179706, + 79856703 + ], + [ + 48378177, + 52176159 + ], + [ + 6935622, + 70247066 + ], + [ + 17051966, + 52058449 + ], + [ + 8718713, + 51052298 + ], + [ + 22986886, + 52889647 + ], + [ + 20408662, + 10163506 + ], + [ + 49393189, + 39954063 + ], + [ + 33108436, + 29176600 + ], + [ + 46348748, + 97996747 + ], + [ + 67349449, + 65951143 + ], + [ + 7391466, + 25761414 + ], + [ + 4286233, + 68912107 + ], + [ + 85625355, + 28873250 + ], + [ + 8922272, + 26861271 + ], + [ + 33609560, + 27631334 + ], + [ + 91799733, + 91401422 + ], + [ + 4385110, + 70409833 + ], + [ + 61066540, + 55848135 + ], + [ + 15749763, + 85750079 + ], + [ + 60988070, + 22722696 + ], + [ + 55093740, + 72969900 + ], + [ + 33022639, + 48144740 + ], + [ + 53880626, + 28752005 + ], + [ + 58196694, + 94565355 + ], + [ + 91072633, + 61055978 + ], + [ + 73826316, + 78933623 + ], + [ + 62833347, + 94685817 + ], + [ + 55387445, + 89274397 + ], + [ + 10846209, + 59238507 + ], + [ + 2551437, + 35887636 + ], + [ + 11145883, + 87875277 + ], + [ + 76975389, + 91728550 + ], + [ + 18137287, + 68563212 + ], + [ + 84966739, + 36905570 + ], + [ + 88661190, + 61682821 + ], + [ + 58866106, + 17584968 + ], + [ + 49324169, + 75078301 + ], + [ + 29598075, + 65555724 + ], + [ + 47860398, + 77784546 + ], + [ + 55584714, + 18403514 + ], + [ + 35661375, + 70995848 + ], + [ + 80605030, + 92231880 + ], + [ + 53982181, + 59889818 + ], + [ + 79455622, + 99655232 + ], + [ + 65489765, + 80622215 + ], + [ + 11373156, + 68925732 + ], + [ + 65347819, + 36113867 + ], + [ + 67893865, + 28321394 + ], + [ + 72002169, + 91246032 + ], + [ + 91298101, + 63021353 + ], + [ + 52010489, + 35006928 + ], + [ + 87174810, + 47470760 + ], + [ + 42306, + 81869372 + ], + [ + 79287646, + 41557052 + ], + [ + 75983081, + 86705596 + ], + [ + 2860568, + 73089538 + ], + [ + 58674283, + 85968524 + ], + [ + 43220856, + 5346530 + ], + [ + 62572793, + 81031377 + ], + [ + 89326898, + 32499126 + ], + [ + 73589483, + 58680368 + ], + [ + 41471114, + 48578374 + ], + [ + 69493639, + 68079985 + ], + [ + 58063116, + 1644458 + ], + [ + 35043623, + 2237936 + ], + [ + 20830054, + 69244326 + ], + [ + 44614515, + 54846701 + ], + [ + 82288599, + 97622366 + ], + [ + 61415063, + 1835148 + ], + [ + 9727974, + 37415385 + ], + [ + 60664035, + 90809746 + ], + [ + 95211375, + 71731657 + ], + [ + 75169587, + 6792935 + ], + [ + 28603836, + 55452561 + ], + [ + 5915868, + 89844428 + ], + [ + 17967969, + 70767439 + ], + [ + 67304926, + 35020160 + ], + [ + 59867830, + 62672205 + ], + [ + 28041458, + 48470925 + ], + [ + 96786690, + 30405488 + ], + [ + 95179641, + 28016121 + ], + [ + 33335204, + 65918534 + ], + [ + 3454171, + 29033076 + ], + [ + 5258831, + 41678673 + ], + [ + 15533886, + 3387994 + ], + [ + 62101445, + 91992497 + ], + [ + 43467727, + 96260645 + ], + [ + 56681635, + 12629016 + ], + [ + 40605447, + 16265645 + ], + [ + 42804820, + 71461548 + ], + [ + 35533880, + 97104381 + ], + [ + 15040716, + 38470257 + ], + [ + 18155915, + 9969520 + ], + [ + 72337602, + 29292647 + ], + [ + 7800976, + 31004231 + ], + [ + 81619012, + 98657113 + ], + [ + 9693081, + 56461713 + ], + [ + 44354888, + 19574963 + ], + [ + 23304853, + 78476136 + ], + [ + 15252681, + 36387288 + ], + [ + 32529892, + 90417181 + ], + [ + 50843064, + 85455888 + ], + [ + 9705013, + 12892792 + ], + [ + 3431193, + 1975926 + ], + [ + 70172187, + 20844773 + ], + [ + 37419298, + 66830784 + ], + [ + 12199435, + 21490751 + ], + [ + 64324052, + 273088 + ], + [ + 67580633, + 13157760 + ], + [ + 86086635, + 19389591 + ], + [ + 46852140, + 19859999 + ], + [ + 41605548, + 69935646 + ], + [ + 19359993, + 82532046 + ], + [ + 89026904, + 55644120 + ], + [ + 36387595, + 77782816 + ], + [ + 13403519, + 10459847 + ], + [ + 43823027, + 15880091 + ], + [ + 68385487, + 58335786 + ], + [ + 25625521, + 90416457 + ], + [ + 92299075, + 42962631 + ], + [ + 99005445, + 92640304 + ], + [ + 63583345, + 73616458 + ], + [ + 63188138, + 84027365 + ], + [ + 65553700, + 13636637 + ], + [ + 17287985, + 89639956 + ], + [ + 8544989, + 19535488 + ], + [ + 94699199, + 74848234 + ], + [ + 22922322, + 77316177 + ], + [ + 25147926, + 9807211 + ], + [ + 53399392, + 60906376 + ], + [ + 76421457, + 72394537 + ], + [ + 4438198, + 60071044 + ], + [ + 94780315, + 76607080 + ], + [ + 51240629, + 67168517 + ], + [ + 97555801, + 34805168 + ], + [ + 20131696, + 9368 + ], + [ + 37689708, + 55000414 + ], + [ + 1158211, + 90453251 + ], + [ + 54232844, + 72612193 + ], + [ + 35061243, + 75566791 + ], + [ + 68421008, + 40154545 + ], + [ + 30872169, + 71495360 + ], + [ + 2561448, + 75720821 + ], + [ + 24801328, + 46804169 + ], + [ + 27787869, + 66995596 + ], + [ + 5015115, + 25449297 + ], + [ + 27034206, + 57870021 + ], + [ + 71334974, + 71470501 + ], + [ + 80203281, + 38010949 + ], + [ + 22579028, + 34642168 + ], + [ + 60351961, + 83683060 + ], + [ + 87080281, + 24816919 + ], + [ + 19902052, + 19230922 + ], + [ + 91196979, + 33726297 + ], + [ + 81461445, + 64655029 + ], + [ + 40529910, + 57431349 + ], + [ + 48157152, + 59485096 + ], + [ + 36010007, + 13189582 + ], + [ + 90711350, + 41309534 + ], + [ + 72022809, + 76655010 + ], + [ + 49482947, + 54970689 + ], + [ + 41236749, + 55084551 + ], + [ + 24063269, + 57651597 + ], + [ + 88366354, + 67355728 + ], + [ + 87392337, + 85104393 + ], + [ + 17725496, + 10772790 + ], + [ + 40189203, + 86663715 + ], + [ + 18228911, + 16575140 + ], + [ + 55092970, + 47851118 + ], + [ + 11093269, + 31988785 + ], + [ + 71539209, + 5783455 + ], + [ + 56848089, + 93251811 + ], + [ + 99393038, + 93758157 + ], + [ + 64357231, + 49122364 + ], + [ + 91430344, + 46998817 + ], + [ + 20162419, + 34353508 + ], + [ + 94465606, + 62014888 + ], + [ + 39309505, + 19964234 + ], + [ + 95193388, + 52563313 + ], + [ + 27832262, + 79324965 + ], + [ + 8300623, + 41284357 + ], + [ + 14850519, + 75523721 + ], + [ + 2477428, + 97652836 + ], + [ + 2331296, + 16382573 + ], + [ + 93131761, + 52429328 + ], + [ + 18802397, + 15412030 + ], + [ + 72449556, + 43400466 + ], + [ + 6360465, + 22164780 + ], + [ + 74185050, + 86508717 + ], + [ + 69513712, + 89277868 + ], + [ + 49363332, + 30265221 + ], + [ + 74914740, + 8735027 + ], + [ + 64424971, + 62448512 + ], + [ + 34021382, + 12559152 + ], + [ + 95553804, + 42835427 + ], + [ + 49127003, + 86713489 + ], + [ + 91648941, + 57393961 + ], + [ + 41794109, + 31769108 + ], + [ + 29443772, + 54575888 + ], + [ + 67582466, + 6775068 + ], + [ + 85367346, + 50026757 + ], + [ + 75385041, + 72621647 + ], + [ + 90247892, + 77085593 + ], + [ + 29214291, + 35131028 + ], + [ + 36933719, + 35433804 + ], + [ + 25572000, + 92758896 + ], + [ + 29774569, + 73694516 + ], + [ + 13861201, + 75766863 + ], + [ + 28100368, + 70167416 + ], + [ + 45026581, + 61531801 + ], + [ + 648281, + 53044905 + ], + [ + 75728580, + 45369542 + ], + [ + 35924979, + 71222163 + ], + [ + 9874982, + 51008141 + ], + [ + 7126249, + 94399240 + ], + [ + 58707666, + 35987364 + ], + [ + 77810481, + 11933615 + ], + [ + 58401386, + 15614482 + ], + [ + 91571091, + 67856527 + ], + [ + 70716255, + 90787940 + ], + [ + 57066732, + 67993697 + ], + [ + 91899233, + 89590 + ], + [ + 44887131, + 56637957 + ], + [ + 67508969, + 68944468 + ], + [ + 72867910, + 84462264 + ], + [ + 84868255, + 80583680 + ], + [ + 26490664, + 29528659 + ], + [ + 82440581, + 76591134 + ], + [ + 39052304, + 6849218 + ], + [ + 5939734, + 90981753 + ], + [ + 45487557, + 67301737 + ], + [ + 50818557, + 90028438 + ], + [ + 13325596, + 5138863 + ], + [ + 1508243, + 80680230 + ], + [ + 83233404, + 12206603 + ], + [ + 64563071, + 91708527 + ], + [ + 49267399, + 71489492 + ], + [ + 40737338, + 45391260 + ], + [ + 2856526, + 20629770 + ], + [ + 5833605, + 2193707 + ], + [ + 86537078, + 33482532 + ], + [ + 84082132, + 79595989 + ], + [ + 88070672, + 89734061 + ], + [ + 91395757, + 78340908 + ], + [ + 74310420, + 51883265 + ], + [ + 70395993, + 45112218 + ], + [ + 62463174, + 73774318 + ], + [ + 99580974, + 63791427 + ], + [ + 64346035, + 70614735 + ], + [ + 90360754, + 91931926 + ], + [ + 37007387, + 23735650 + ], + [ + 39683878, + 41825112 + ], + [ + 32651359, + 34779145 + ], + [ + 96360818, + 29581485 + ], + [ + 47608669, + 74433906 + ], + [ + 34797983, + 83257137 + ], + [ + 55696377, + 76164347 + ], + [ + 54188491, + 90394134 + ], + [ + 30157351, + 72783959 + ], + [ + 59302345, + 59932779 + ], + [ + 5474957, + 47483134 + ], + [ + 38867497, + 52975685 + ], + [ + 20448205, + 58585012 + ], + [ + 48172550, + 36671572 + ], + [ + 62772789, + 86782742 + ], + [ + 24414456, + 28020288 + ], + [ + 45069659, + 61062270 + ], + [ + 88375008, + 72442578 + ], + [ + 21230981, + 48886617 + ], + [ + 93068895, + 25354853 + ], + [ + 79656933, + 68495567 + ], + [ + 23910452, + 58270956 + ], + [ + 84619844, + 7703987 + ], + [ + 83628724, + 80885265 + ], + [ + 55728085, + 47807886 + ], + [ + 39970947, + 5069240 + ], + [ + 8871935, + 91565429 + ], + [ + 64968139, + 79053325 + ], + [ + 294311, + 31549952 + ], + [ + 87666396, + 54468517 + ], + [ + 6869811, + 7662156 + ], + [ + 20251054, + 64650237 + ], + [ + 35940869, + 40201266 + ], + [ + 23068183, + 10998743 + ], + [ + 88403129, + 10103440 + ], + [ + 95356883, + 56433570 + ], + [ + 18391370, + 86458138 + ], + [ + 51918829, + 68109547 + ], + [ + 27777119, + 5010778 + ], + [ + 27266440, + 93670834 + ], + [ + 50031217, + 94492081 + ], + [ + 76219005, + 93481573 + ], + [ + 94548253, + 90358265 + ], + [ + 59388137, + 88781813 + ], + [ + 89699230, + 21505735 + ], + [ + 51139643, + 6719816 + ], + [ + 73179906, + 43837544 + ], + [ + 64666481, + 5944639 + ], + [ + 92308314, + 15262497 + ], + [ + 56727417, + 87063199 + ], + [ + 66218421, + 57162400 + ], + [ + 8481843, + 36133731 + ], + [ + 39990605, + 60012181 + ], + [ + 60870824, + 33300568 + ], + [ + 54039302, + 68262303 + ], + [ + 42114133, + 77081834 + ], + [ + 39818582, + 99685737 + ], + [ + 87616488, + 24057270 + ], + [ + 48477551, + 48543184 + ], + [ + 41252921, + 24664567 + ], + [ + 90082738, + 58922611 + ], + [ + 35941678, + 342332 + ], + [ + 29030700, + 28760584 + ], + [ + 23163155, + 34779137 + ], + [ + 49901057, + 20991259 + ], + [ + 79394941, + 94186319 + ], + [ + 23094938, + 80735399 + ], + [ + 24925567, + 40798617 + ], + [ + 37109286, + 98710531 + ], + [ + 50754945, + 62781528 + ], + [ + 19716493, + 80795110 + ], + [ + 64441143, + 8440500 + ], + [ + 16437013, + 18247756 + ], + [ + 8851874, + 33345965 + ], + [ + 91633031, + 7743263 + ], + [ + 48316483, + 86921697 + ], + [ + 51070857, + 47981040 + ], + [ + 11890554, + 80763596 + ], + [ + 88861178, + 93145012 + ], + [ + 52094197, + 48883342 + ], + [ + 27417358, + 20340622 + ], + [ + 40218576, + 5231529 + ], + [ + 93760184, + 74277058 + ], + [ + 99916224, + 56865427 + ], + [ + 49441653, + 2720087 + ], + [ + 20237191, + 19630607 + ], + [ + 56708332, + 1101432 + ], + [ + 27719306, + 20846459 + ], + [ + 39472833, + 5632765 + ], + [ + 50033127, + 53621340 + ], + [ + 22537648, + 60361200 + ], + [ + 99413619, + 95744933 + ], + [ + 45431068, + 19304273 + ], + [ + 85918661, + 51008820 + ], + [ + 11680751, + 70644696 + ], + [ + 812627, + 82838644 + ], + [ + 71745920, + 2674650 + ], + [ + 95309930, + 91574890 + ], + [ + 68590119, + 51816571 + ], + [ + 6474833, + 8720681 + ], + [ + 30714065, + 10731348 + ], + [ + 13696793, + 44521909 + ], + [ + 10339613, + 29002847 + ], + [ + 42184341, + 71143909 + ], + [ + 9160149, + 19580968 + ], + [ + 71395912, + 55900815 + ], + [ + 35589849, + 99023712 + ], + [ + 76359001, + 20821803 + ], + [ + 61041979, + 39095342 + ], + [ + 33173780, + 55153607 + ], + [ + 8392097, + 64996143 + ], + [ + 16608612, + 22520976 + ], + [ + 14133255, + 58262869 + ], + [ + 23349576, + 22158773 + ], + [ + 64488275, + 70244142 + ], + [ + 23046783, + 22336872 + ], + [ + 61399165, + 10828101 + ], + [ + 57430993, + 79973479 + ], + [ + 41942508, + 61403255 + ], + [ + 18104327, + 12537739 + ], + [ + 19997497, + 23122560 + ], + [ + 58520117, + 83383928 + ], + [ + 69828554, + 70339832 + ], + [ + 97988271, + 45341376 + ], + [ + 13717766, + 93386869 + ], + [ + 11455096, + 47949233 + ], + [ + 61176281, + 47960803 + ], + [ + 10688912, + 76272199 + ], + [ + 7388872, + 95366831 + ], + [ + 20461880, + 25298205 + ], + [ + 27312394, + 44900358 + ], + [ + 63922712, + 20908861 + ], + [ + 22610947, + 56662370 + ], + [ + 9688659, + 64092569 + ], + [ + 15876452, + 92369440 + ], + [ + 90298095, + 69650481 + ], + [ + 72566579, + 87818245 + ], + [ + 3729665, + 87739677 + ], + [ + 47520811, + 83430557 + ], + [ + 84263121, + 87871164 + ], + [ + 5544516, + 81179853 + ], + [ + 94033066, + 90634809 + ], + [ + 79578105, + 51131714 + ], + [ + 18299974, + 86828867 + ], + [ + 80867559, + 48727719 + ], + [ + 75220025, + 66711370 + ], + [ + 75075376, + 11078863 + ], + [ + 26740210, + 77964448 + ], + [ + 45427002, + 65665207 + ], + [ + 14974322, + 14965421 + ], + [ + 62304518, + 56865120 + ], + [ + 78066619, + 10156188 + ], + [ + 60304987, + 14660862 + ], + [ + 6927584, + 21643382 + ], + [ + 54621466, + 93609089 + ], + [ + 47327589, + 36003812 + ], + [ + 75518940, + 32284719 + ], + [ + 15775727, + 10597236 + ], + [ + 89216812, + 15898537 + ], + [ + 85170627, + 62592255 + ], + [ + 12446681, + 10079743 + ], + [ + 58679586, + 82044389 + ], + [ + 89944792, + 74856890 + ], + [ + 78863389, + 93511682 + ], + [ + 33608301, + 4894074 + ], + [ + 478668, + 67398421 + ], + [ + 92488453, + 30674986 + ], + [ + 54163382, + 78683928 + ], + [ + 75416037, + 46300026 + ], + [ + 30328413, + 91594342 + ], + [ + 7652953, + 58376087 + ], + [ + 53244457, + 7149326 + ], + [ + 18073647, + 82037334 + ], + [ + 77022492, + 53905638 + ], + [ + 91920560, + 99842493 + ], + [ + 48412998, + 29470247 + ], + [ + 5921344, + 56576615 + ], + [ + 6686503, + 9604517 + ], + [ + 63154764, + 47501240 + ], + [ + 54761578, + 69472770 + ], + [ + 61021116, + 14316157 + ], + [ + 27058303, + 98876689 + ], + [ + 26479972, + 65678400 + ], + [ + 20092032, + 33221134 + ], + [ + 19360562, + 92915356 + ], + [ + 69876916, + 41020575 + ], + [ + 44987032, + 773480 + ], + [ + 19198461, + 63397242 + ], + [ + 11260782, + 72524781 + ], + [ + 54080296, + 53582391 + ], + [ + 88572313, + 72227832 + ], + [ + 74490298, + 78434362 + ], + [ + 483957, + 76661826 + ], + [ + 50069088, + 38200756 + ], + [ + 15787949, + 87889279 + ], + [ + 18476824, + 11446435 + ], + [ + 90318365, + 81432622 + ], + [ + 40141773, + 3617971 + ], + [ + 87509288, + 83537561 + ], + [ + 1186075, + 32025593 + ], + [ + 69170047, + 28446040 + ], + [ + 26207927, + 86644542 + ], + [ + 73474614, + 33005564 + ], + [ + 77641568, + 73122564 + ], + [ + 46989246, + 7447873 + ], + [ + 94594250, + 24188475 + ], + [ + 46437326, + 10960570 + ], + [ + 22535355, + 12665418 + ], + [ + 80146633, + 52081741 + ], + [ + 28887216, + 4374348 + ], + [ + 15729716, + 66814297 + ], + [ + 40189720, + 51485289 + ], + [ + 79603905, + 31881483 + ], + [ + 51397956, + 80601032 + ], + [ + 55426831, + 55304523 + ], + [ + 98168702, + 1274241 + ], + [ + 64099788, + 87141915 + ], + [ + 88944263, + 11492379 + ], + [ + 72403223, + 39558487 + ], + [ + 90058338, + 89408332 + ], + [ + 67563522, + 21764747 + ], + [ + 2559807, + 88536704 + ], + [ + 90736166, + 50522996 + ], + [ + 36672564, + 64755970 + ], + [ + 74404698, + 50944860 + ], + [ + 1457816, + 6236649 + ], + [ + 68818072, + 34342835 + ], + [ + 34260355, + 82913358 + ], + [ + 43461624, + 52354544 + ], + [ + 33842164, + 15575560 + ], + [ + 94252707, + 16237677 + ], + [ + 45179557, + 75779923 + ], + [ + 77929827, + 43690323 + ], + [ + 36745335, + 86772493 + ], + [ + 82903750, + 54490441 + ], + [ + 18853855, + 5843125 + ], + [ + 56710314, + 23227418 + ], + [ + 74353076, + 58066191 + ], + [ + 81070907, + 64899877 + ], + [ + 34194603, + 5093489 + ], + [ + 62917809, + 57672103 + ], + [ + 21771948, + 84718255 + ], + [ + 49773710, + 58119865 + ], + [ + 16927918, + 76040424 + ], + [ + 92524337, + 12480470 + ], + [ + 69048138, + 78294608 + ], + [ + 65061804, + 47063385 + ], + [ + 61767846, + 47652301 + ], + [ + 19028132, + 66816734 + ], + [ + 95374719, + 28820349 + ], + [ + 5316741, + 80993400 + ], + [ + 54336313, + 24763609 + ], + [ + 54599148, + 12930664 + ], + [ + 8568104, + 24995132 + ], + [ + 57263424, + 54821575 + ], + [ + 44601671, + 97999400 + ], + [ + 47458008, + 20593234 + ], + [ + 40197138, + 39704164 + ], + [ + 69879259, + 23358697 + ], + [ + 74053645, + 44836374 + ], + [ + 97287086, + 71857564 + ], + [ + 44261921, + 42143066 + ], + [ + 2373036, + 18128462 + ], + [ + 51671289, + 65344695 + ], + [ + 45610675, + 23854639 + ], + [ + 23368100, + 8566440 + ], + [ + 25827661, + 6793142 + ], + [ + 39193183, + 85663563 + ], + [ + 5595354, + 39983282 + ], + [ + 83626404, + 1186719 + ], + [ + 42332039, + 87381395 + ], + [ + 98282003, + 64764619 + ], + [ + 42761784, + 77155686 + ], + [ + 79315245, + 21880212 + ], + [ + 77126800, + 66823519 + ], + [ + 90873537, + 21854428 + ], + [ + 81442289, + 43935129 + ], + [ + 19887465, + 6193204 + ], + [ + 82833594, + 95733453 + ], + [ + 78617641, + 43148205 + ], + [ + 58454457, + 66705110 + ], + [ + 36041443, + 4592191 + ], + [ + 15183779, + 33435950 + ], + [ + 12015227, + 55516988 + ], + [ + 60783442, + 29548336 + ], + [ + 22186616, + 38421723 + ], + [ + 78368922, + 37691131 + ], + [ + 1001879, + 91145128 + ], + [ + 26634280, + 9227673 + ], + [ + 2263771, + 18935840 + ], + [ + 16538133, + 89787059 + ], + [ + 47243438, + 24400069 + ], + [ + 43479823, + 67995344 + ], + [ + 83885262, + 91876982 + ], + [ + 13775274, + 35561459 + ], + [ + 69645651, + 18801678 + ], + [ + 13793472, + 96067743 + ], + [ + 65097203, + 47683396 + ], + [ + 5151826, + 72679315 + ], + [ + 7488779, + 48159041 + ], + [ + 25890948, + 41623249 + ], + [ + 82668661, + 97135910 + ], + [ + 72417701, + 97034874 + ], + [ + 74793859, + 14761355 + ], + [ + 7409436, + 66041232 + ], + [ + 42355718, + 59265429 + ], + [ + 56751301, + 91560375 + ], + [ + 73510327, + 9966761 + ], + [ + 9726607, + 5439107 + ], + [ + 35058629, + 68744019 + ], + [ + 1819415, + 86029810 + ], + [ + 78714590, + 56826148 + ], + [ + 77268642, + 80235049 + ], + [ + 20121177, + 94515962 + ], + [ + 72010585, + 15002950 + ], + [ + 77801155, + 5045966 + ], + [ + 92305155, + 41121745 + ], + [ + 77048841, + 547516 + ], + [ + 36405748, + 94373749 + ], + [ + 77051114, + 85652897 + ], + [ + 78327053, + 30136076 + ], + [ + 70050490, + 27043897 + ], + [ + 480255, + 12442114 + ], + [ + 67773507, + 60998684 + ], + [ + 60779127, + 98744293 + ], + [ + 24170332, + 9910457 + ], + [ + 3442769, + 81525113 + ], + [ + 65427878, + 83790547 + ], + [ + 75551222, + 98692162 + ], + [ + 72450000, + 86615047 + ], + [ + 18806482, + 25669247 + ], + [ + 91743664, + 56760975 + ], + [ + 11214309, + 76670948 + ], + [ + 69196955, + 44311317 + ], + [ + 84925183, + 88189417 + ], + [ + 25548566, + 58581163 + ], + [ + 16285241, + 53612971 + ], + [ + 5644907, + 14752573 + ], + [ + 32058731, + 18093847 + ], + [ + 72360615, + 53589884 + ], + [ + 97931965, + 53620358 + ], + [ + 39797497, + 23662600 + ], + [ + 90572509, + 51812446 + ], + [ + 66631215, + 82882590 + ], + [ + 99812236, + 69330993 + ], + [ + 24179494, + 2698777 + ], + [ + 44052452, + 4709487 + ], + [ + 73391620, + 34726089 + ], + [ + 56163177, + 86924050 + ], + [ + 3510987, + 82305240 + ], + [ + 41375816, + 27754632 + ], + [ + 29451941, + 99963204 + ], + [ + 90032489, + 43450460 + ], + [ + 53497669, + 7193635 + ], + [ + 90712562, + 43312557 + ], + [ + 96442945, + 94954525 + ], + [ + 23718243, + 31367682 + ], + [ + 43510956, + 67104472 + ], + [ + 29475069, + 88779702 + ], + [ + 29452805, + 44115483 + ], + [ + 60271830, + 74184356 + ], + [ + 8144480, + 55128900 + ], + [ + 19335246, + 13810596 + ], + [ + 47218276, + 6908552 + ], + [ + 85897702, + 59680275 + ], + [ + 38636504, + 48965294 + ], + [ + 68863062, + 67976446 + ], + [ + 63112597, + 42532324 + ], + [ + 73887014, + 57875951 + ], + [ + 7067469, + 90074406 + ], + [ + 88526393, + 87387767 + ], + [ + 96203484, + 93633276 + ], + [ + 9780184, + 12502837 + ], + [ + 89209931, + 1214967 + ], + [ + 34276702, + 71600699 + ], + [ + 54184439, + 81272184 + ], + [ + 68934126, + 90450294 + ], + [ + 61595908, + 93704124 + ], + [ + 56449784, + 92928971 + ], + [ + 89198941, + 18742525 + ], + [ + 92194959, + 83471423 + ], + [ + 83364214, + 31231876 + ], + [ + 2759502, + 58797258 + ], + [ + 32878458, + 65039661 + ], + [ + 62345014, + 63930919 + ], + [ + 8211173, + 12078371 + ], + [ + 59465256, + 83237592 + ], + [ + 93471423, + 65840794 + ], + [ + 1817168, + 93897304 + ], + [ + 45496530, + 59113087 + ], + [ + 82303483, + 82293734 + ], + [ + 65647778, + 64861135 + ], + [ + 66204033, + 78577151 + ], + [ + 3119379, + 59187422 + ], + [ + 63049830, + 4611171 + ], + [ + 38772691, + 75184694 + ], + [ + 19584785, + 13979922 + ], + [ + 72673423, + 49854940 + ], + [ + 71754529, + 2373050 + ], + [ + 15335988, + 10939040 + ], + [ + 72646812, + 31952084 + ], + [ + 34707852, + 91730840 + ], + [ + 33707544, + 97181366 + ], + [ + 26045586, + 30551039 + ], + [ + 22035004, + 8072643 + ], + [ + 98970877, + 78634476 + ], + [ + 57077224, + 94961370 + ], + [ + 11619983, + 5893712 + ], + [ + 17171232, + 7654159 + ], + [ + 55625751, + 20878435 + ], + [ + 56117686, + 59114378 + ], + [ + 3285037, + 90420710 + ], + [ + 44556647, + 96876852 + ], + [ + 40583825, + 54547467 + ], + [ + 71355071, + 82074888 + ], + [ + 44703576, + 70892157 + ], + [ + 10725571, + 13012861 + ], + [ + 38485562, + 37610796 + ], + [ + 80403266, + 77846233 + ], + [ + 11530158, + 15187258 + ], + [ + 27879821, + 7052204 + ], + [ + 8453385, + 93575825 + ], + [ + 47195182, + 18960747 + ], + [ + 68352036, + 84474312 + ], + [ + 20177611, + 93618543 + ], + [ + 91342719, + 20898819 + ], + [ + 27185967, + 26292407 + ], + [ + 15979203, + 50713739 + ], + [ + 6790056, + 70206858 + ], + [ + 3470547, + 97080924 + ], + [ + 76324243, + 38529224 + ], + [ + 62091457, + 90913716 + ], + [ + 84714945, + 25217096 + ], + [ + 83398732, + 48727411 + ], + [ + 87991545, + 28609439 + ], + [ + 49577037, + 36524667 + ], + [ + 49834751, + 59002252 + ], + [ + 38560156, + 84957829 + ], + [ + 93249500, + 39167464 + ], + [ + 44222448, + 62255908 + ], + [ + 43723739, + 3869598 + ], + [ + 3356205, + 73544031 + ], + [ + 3733600, + 33303308 + ], + [ + 12822272, + 31488825 + ], + [ + 68674808, + 38116385 + ], + [ + 37051520, + 6270450 + ], + [ + 89063687, + 67468418 + ], + [ + 4699718, + 50544904 + ], + [ + 88494025, + 50739912 + ], + [ + 21714174, + 66420533 + ], + [ + 31823453, + 57316962 + ], + [ + 19103599, + 37377477 + ], + [ + 8218856, + 71500176 + ], + [ + 5008898, + 58193728 + ], + [ + 57383309, + 84962009 + ], + [ + 39424366, + 12065752 + ], + [ + 13509392, + 56272469 + ], + [ + 96441103, + 67254158 + ], + [ + 77111711, + 96594362 + ], + [ + 26066510, + 30609684 + ], + [ + 72653396, + 91497549 + ], + [ + 82875772, + 83741983 + ], + [ + 36662062, + 11961754 + ], + [ + 77806874, + 15423919 + ], + [ + 23062490, + 70676738 + ], + [ + 17784592, + 18318346 + ], + [ + 80607664, + 55952380 + ], + [ + 98735910, + 66170188 + ], + [ + 33032931, + 53311856 + ], + [ + 81094176, + 860586 + ], + [ + 54523897, + 45834590 + ], + [ + 4657281, + 51724612 + ], + [ + 32478602, + 62918567 + ], + [ + 34401756, + 84367786 + ], + [ + 4237174, + 99608914 + ], + [ + 73943001, + 9054106 + ], + [ + 98709611, + 99107396 + ], + [ + 60828186, + 31884366 + ], + [ + 47466136, + 24824738 + ], + [ + 1872606, + 73558640 + ], + [ + 74899315, + 62996377 + ], + [ + 1769384, + 12881381 + ], + [ + 60907839, + 37930410 + ], + [ + 49250489, + 47845405 + ], + [ + 80562304, + 96103822 + ], + [ + 314112, + 6874857 + ], + [ + 76208623, + 72568361 + ], + [ + 17144717, + 24152453 + ], + [ + 35723240, + 30818936 + ], + [ + 72058774, + 32644659 + ], + [ + 69306823, + 54565762 + ], + [ + 8910306, + 19335130 + ], + [ + 47294589, + 26297704 + ], + [ + 61537095, + 68635091 + ], + [ + 82624920, + 44408081 + ], + [ + 63947331, + 19916574 + ], + [ + 38141753, + 46891751 + ], + [ + 9474259, + 61518323 + ], + [ + 29736022, + 5248049 + ], + [ + 58005844, + 63636945 + ], + [ + 29077188, + 62935811 + ], + [ + 96411866, + 96641745 + ], + [ + 5629169, + 22794550 + ], + [ + 20327691, + 83460581 + ], + [ + 33552924, + 92708141 + ], + [ + 27880937, + 14502403 + ], + [ + 66087649, + 82733813 + ], + [ + 49356803, + 12231265 + ], + [ + 82144030, + 71311136 + ], + [ + 9003823, + 69544667 + ], + [ + 2891921, + 67889017 + ], + [ + 19086652, + 32769670 + ], + [ + 87944205, + 79190431 + ], + [ + 81051528, + 13603515 + ], + [ + 90270745, + 42572072 + ], + [ + 41060181, + 61299833 + ], + [ + 99480410, + 65546844 + ], + [ + 41769802, + 292047 + ], + [ + 91362839, + 258426 + ], + [ + 7545987, + 46307665 + ], + [ + 50485534, + 7064314 + ], + [ + 65298404, + 23383541 + ], + [ + 16858012, + 90996889 + ], + [ + 37350221, + 78856356 + ], + [ + 97623628, + 65822720 + ], + [ + 33853126, + 87191223 + ], + [ + 58433516, + 34407983 + ], + [ + 20955201, + 7172555 + ], + [ + 95446665, + 82697324 + ], + [ + 94841245, + 49128246 + ], + [ + 33982263, + 77230182 + ], + [ + 3591643, + 58251100 + ], + [ + 83779998, + 49702851 + ], + [ + 19408652, + 5804414 + ], + [ + 55389659, + 2503914 + ], + [ + 12209945, + 58839139 + ], + [ + 92299883, + 22946450 + ], + [ + 67157732, + 37865131 + ], + [ + 64649811, + 29602669 + ], + [ + 84990874, + 11766172 + ], + [ + 58978461, + 56100197 + ], + [ + 61175120, + 61344452 + ], + [ + 96574476, + 83218131 + ], + [ + 56557840, + 90439665 + ], + [ + 62726815, + 53070357 + ], + [ + 85013336, + 56995798 + ], + [ + 47421410, + 82580343 + ], + [ + 46253774, + 72489787 + ], + [ + 85746664, + 41227171 + ], + [ + 69794790, + 29000825 + ], + [ + 90638692, + 44393554 + ], + [ + 26550726, + 46247196 + ], + [ + 71936879, + 9358716 + ], + [ + 17318503, + 23840336 + ], + [ + 24243466, + 35402972 + ], + [ + 10881064, + 68204280 + ], + [ + 9869545, + 62842730 + ], + [ + 25309737, + 13644706 + ], + [ + 6685060, + 14004646 + ], + [ + 76669410, + 53901836 + ], + [ + 10929714, + 47658051 + ], + [ + 33892852, + 63719597 + ], + [ + 75117697, + 19015336 + ], + [ + 4851851, + 66140608 + ], + [ + 70084664, + 67963864 + ], + [ + 56424437, + 55196490 + ], + [ + 94064017, + 73832725 + ], + [ + 36747596, + 74651046 + ], + [ + 78477220, + 46599283 + ], + [ + 65092483, + 53001333 + ], + [ + 7692588, + 93729334 + ], + [ + 51573736, + 7089873 + ], + [ + 58514346, + 14093344 + ], + [ + 74267405, + 76527251 + ], + [ + 89730460, + 41487350 + ], + [ + 14248656, + 18984215 + ], + [ + 78001452, + 6260200 + ], + [ + 22781628, + 60824174 + ], + [ + 41159187, + 36355458 + ], + [ + 80981872, + 16338310 + ], + [ + 71953130, + 82493985 + ], + [ + 33798628, + 65524794 + ], + [ + 87082313, + 43321106 + ], + [ + 884338, + 5084839 + ], + [ + 99393041, + 41905580 + ], + [ + 75974925, + 97347804 + ], + [ + 14790267, + 24270849 + ], + [ + 87885544, + 64311417 + ], + [ + 25857737, + 12531818 + ], + [ + 30856113, + 18576686 + ], + [ + 90982957, + 81072300 + ], + [ + 88296064, + 39264562 + ], + [ + 30356874, + 69648085 + ], + [ + 65322235, + 74299551 + ], + [ + 71863377, + 33492675 + ], + [ + 61193538, + 9253394 + ], + [ + 68929684, + 54706960 + ], + [ + 53190788, + 7108589 + ], + [ + 57359182, + 89470092 + ], + [ + 50218788, + 23215044 + ], + [ + 26218647, + 93710258 + ], + [ + 67187667, + 6568766 + ], + [ + 3469298, + 60829678 + ], + [ + 34384203, + 21424483 + ], + [ + 62061529, + 35059982 + ], + [ + 46410212, + 81624724 + ], + [ + 42152557, + 61258790 + ], + [ + 78317212, + 52440976 + ], + [ + 67511382, + 99364365 + ], + [ + 25100954, + 5278320 + ], + [ + 20361774, + 33079321 + ], + [ + 77988714, + 31502112 + ], + [ + 47151464, + 31624341 + ], + [ + 23356110, + 55132903 + ], + [ + 83825392, + 1327493 + ], + [ + 67107495, + 27390766 + ], + [ + 38670728, + 22427817 + ], + [ + 3688503, + 66637065 + ], + [ + 5571745, + 16750867 + ], + [ + 74981255, + 56122681 + ], + [ + 6692649, + 88433723 + ], + [ + 8392921, + 26698762 + ], + [ + 76166756, + 82572479 + ], + [ + 19230268, + 60568033 + ], + [ + 29078572, + 93614538 + ], + [ + 43377036, + 1679303 + ], + [ + 26186515, + 58159751 + ], + [ + 46294568, + 11212406 + ], + [ + 78570368, + 84603223 + ], + [ + 5508085, + 46735607 + ], + [ + 11614557, + 31879508 + ], + [ + 49451795, + 92648607 + ], + [ + 76518560, + 37148556 + ], + [ + 25759703, + 18909913 + ], + [ + 76317719, + 29864115 + ], + [ + 48079092, + 52016747 + ], + [ + 73190280, + 8948457 + ], + [ + 48987131, + 71372804 + ], + [ + 13561081, + 78860521 + ], + [ + 38510076, + 88518380 + ], + [ + 92195444, + 9610741 + ], + [ + 86328168, + 73616877 + ], + [ + 67688664, + 83934361 + ], + [ + 11646811, + 98736272 + ], + [ + 69688372, + 40897792 + ], + [ + 7164691, + 22871869 + ], + [ + 31291577, + 56367932 + ], + [ + 57796417, + 59782563 + ], + [ + 3913229, + 15341332 + ], + [ + 20562115, + 43104052 + ], + [ + 25523395, + 83221718 + ], + [ + 83386260, + 53849231 + ], + [ + 41330769, + 26658822 + ], + [ + 70807490, + 58815966 + ], + [ + 12741077, + 81271429 + ], + [ + 3271346, + 76866372 + ], + [ + 7977679, + 90038424 + ], + [ + 94505711, + 66376795 + ], + [ + 36795594, + 4093132 + ], + [ + 54367203, + 44658591 + ], + [ + 15634736, + 48937663 + ], + [ + 93450518, + 56966575 + ], + [ + 41212844, + 50781753 + ], + [ + 45867636, + 74085411 + ], + [ + 12763796, + 7032026 + ], + [ + 9226010, + 8234987 + ], + [ + 17600452, + 15139714 + ], + [ + 13091813, + 34172381 + ], + [ + 70801979, + 80730927 + ], + [ + 61762169, + 58014930 + ], + [ + 52590348, + 99319064 + ], + [ + 80286148, + 51560407 + ], + [ + 72231281, + 94867757 + ], + [ + 27248233, + 3617825 + ], + [ + 60017083, + 32640680 + ], + [ + 29058639, + 63644583 + ], + [ + 69674514, + 79185716 + ], + [ + 77724580, + 76358114 + ], + [ + 9720838, + 38731454 + ], + [ + 28470308, + 35535443 + ], + [ + 88079703, + 95201251 + ], + [ + 23633235, + 76348706 + ], + [ + 19649365, + 36939384 + ], + [ + 52413636, + 82102490 + ], + [ + 56006313, + 41018646 + ], + [ + 65337836, + 11491542 + ], + [ + 71501038, + 71723821 + ], + [ + 30050086, + 89833350 + ], + [ + 65044456, + 19687493 + ], + [ + 45552725, + 23290007 + ], + [ + 23806217, + 8912996 + ], + [ + 29459762, + 65173888 + ], + [ + 48107551, + 26398281 + ], + [ + 66956991, + 58163615 + ], + [ + 29577368, + 99671405 + ], + [ + 58818718, + 215823 + ], + [ + 61859987, + 45060805 + ], + [ + 84602002, + 30105153 + ], + [ + 66103532, + 20717508 + ], + [ + 33681375, + 74691438 + ], + [ + 45211387, + 52326810 + ], + [ + 68864534, + 55723690 + ], + [ + 73849074, + 21794367 + ], + [ + 51818897, + 21840808 + ], + [ + 44551870, + 88247211 + ], + [ + 28344509, + 55023765 + ], + [ + 89420237, + 37823465 + ], + [ + 77249504, + 81138326 + ], + [ + 32850832, + 44054576 + ], + [ + 41978968, + 40126275 + ], + [ + 37272672, + 41551753 + ], + [ + 37902096, + 77879829 + ], + [ + 88196990, + 92004437 + ], + [ + 53343501, + 18540426 + ], + [ + 56950161, + 99241138 + ], + [ + 1375026, + 71567794 + ], + [ + 28630962, + 33700105 + ], + [ + 19514638, + 44073106 + ], + [ + 59009371, + 28948072 + ], + [ + 3460294, + 44482434 + ], + [ + 26410895, + 76313212 + ], + [ + 16236227, + 74498030 + ], + [ + 57827959, + 83918970 + ], + [ + 60460840, + 53512840 + ], + [ + 84301613, + 96726819 + ], + [ + 15198475, + 88776375 + ], + [ + 88989757, + 64067521 + ], + [ + 83558927, + 34017462 + ], + [ + 14146905, + 6822957 + ], + [ + 50651058, + 11499259 + ], + [ + 91326473, + 44116696 + ], + [ + 895988, + 31076396 + ], + [ + 29092171, + 30900005 + ], + [ + 67110014, + 72418211 + ], + [ + 92068585, + 27383837 + ], + [ + 95715961, + 78272609 + ], + [ + 59043018, + 54738606 + ], + [ + 77831701, + 23126229 + ], + [ + 9543957, + 44592755 + ], + [ + 95318027, + 63696035 + ], + [ + 26848166, + 12950555 + ], + [ + 25643120, + 62006910 + ], + [ + 71160352, + 39735628 + ], + [ + 44529337, + 54402161 + ], + [ + 27328798, + 74966300 + ], + [ + 60715252, + 29697836 + ], + [ + 71435191, + 84791605 + ], + [ + 53400925, + 83847943 + ], + [ + 90121404, + 61940687 + ], + [ + 76878388, + 84369986 + ], + [ + 61261682, + 62748500 + ], + [ + 81646054, + 14444771 + ], + [ + 61876514, + 84770552 + ], + [ + 51179075, + 35157475 + ], + [ + 49783203, + 29219554 + ], + [ + 82855039, + 62288220 + ], + [ + 83206478, + 54958735 + ], + [ + 45994371, + 26302919 + ], + [ + 56333803, + 72409590 + ], + [ + 12474892, + 42414829 + ], + [ + 95124620, + 77548531 + ], + [ + 18393726, + 94770485 + ], + [ + 30623301, + 95134693 + ], + [ + 35062208, + 64871533 + ], + [ + 93028511, + 47970987 + ], + [ + 94371646, + 66720552 + ], + [ + 51013218, + 90471814 + ], + [ + 4471464, + 93970464 + ], + [ + 60322772, + 1035349 + ], + [ + 73650805, + 59738088 + ], + [ + 45651739, + 31657786 + ], + [ + 3994266, + 37618489 + ], + [ + 97783004, + 53545557 + ], + [ + 33236203, + 34772652 + ], + [ + 60975477, + 78633651 + ], + [ + 21134336, + 95384098 + ], + [ + 14902457, + 62626797 + ], + [ + 19059059, + 32335757 + ], + [ + 32116260, + 59592529 + ], + [ + 59399942, + 69392120 + ], + [ + 41771076, + 97830400 + ], + [ + 36385283, + 32377535 + ], + [ + 55364103, + 43399622 + ], + [ + 64075812, + 76002083 + ], + [ + 51030212, + 17582661 + ], + [ + 58487581, + 64278587 + ], + [ + 37549509, + 25492998 + ], + [ + 36999190, + 91098601 + ], + [ + 8292699, + 74584020 + ], + [ + 94777615, + 27587156 + ], + [ + 88481923, + 23555108 + ], + [ + 57866539, + 82543475 + ], + [ + 60520655, + 26135610 + ], + [ + 52144059, + 98839625 + ], + [ + 18491534, + 85078203 + ], + [ + 45700572, + 13524478 + ], + [ + 92218471, + 60525785 + ], + [ + 44374271, + 92935091 + ], + [ + 23791513, + 97605417 + ], + [ + 91695955, + 13981520 + ], + [ + 4915640, + 26384613 + ], + [ + 1511344, + 34648188 + ], + [ + 56224327, + 25828257 + ], + [ + 43252241, + 91614710 + ], + [ + 53351391, + 20968763 + ], + [ + 23460527, + 90668137 + ], + [ + 89437352, + 54192736 + ], + [ + 30095235, + 50428200 + ], + [ + 70222111, + 62402481 + ], + [ + 58140564, + 27733839 + ], + [ + 4190062, + 42949719 + ], + [ + 86699721, + 88281592 + ], + [ + 79824230, + 1103173 + ], + [ + 35185503, + 12592015 + ], + [ + 36466310, + 88517067 + ], + [ + 42106212, + 58412952 + ], + [ + 12374887, + 23244798 + ], + [ + 49686077, + 3421306 + ], + [ + 11915553, + 82552151 + ], + [ + 54482446, + 43986039 + ], + [ + 39581360, + 5533402 + ], + [ + 11485443, + 72228200 + ], + [ + 83310697, + 47694849 + ], + [ + 11045127, + 62488180 + ], + [ + 59004147, + 99355629 + ], + [ + 61933657, + 96504267 + ], + [ + 65125786, + 75657343 + ], + [ + 35796184, + 53966618 + ], + [ + 74849707, + 96674258 + ], + [ + 87806698, + 25151770 + ], + [ + 92023487, + 9028543 + ], + [ + 34028036, + 41399738 + ], + [ + 4979269, + 22816142 + ], + [ + 93830494, + 88941760 + ], + [ + 53061987, + 57334331 + ], + [ + 13130353, + 91820714 + ], + [ + 40840426, + 85936594 + ], + [ + 9322823, + 95457323 + ], + [ + 84932502, + 10435894 + ], + [ + 21450011, + 24686115 + ], + [ + 67445272, + 4408851 + ], + [ + 91932698, + 8963381 + ], + [ + 56559100, + 37243102 + ], + [ + 5409747, + 9806739 + ], + [ + 39831505, + 72723755 + ], + [ + 13007387, + 30522440 + ], + [ + 85462739, + 38350602 + ], + [ + 15184931, + 39275638 + ], + [ + 4922087, + 66958677 + ], + [ + 75840845, + 29142121 + ], + [ + 68699374, + 25337013 + ], + [ + 88672474, + 23307511 + ], + [ + 82186965, + 14532811 + ], + [ + 66129041, + 21688568 + ], + [ + 91498546, + 1626606 + ], + [ + 96948589, + 59022726 + ], + [ + 22165289, + 10970131 + ], + [ + 5920337, + 65860857 + ], + [ + 57616589, + 85749036 + ], + [ + 79627135, + 77982221 + ], + [ + 32284412, + 62307741 + ], + [ + 69433409, + 41445298 + ], + [ + 75906232, + 8135297 + ], + [ + 53545456, + 90059200 + ], + [ + 3613201, + 7190044 + ], + [ + 82927336, + 22305477 + ], + [ + 14718893, + 55949496 + ], + [ + 14619474, + 67936455 + ], + [ + 10922502, + 96588727 + ], + [ + 58228361, + 9523138 + ], + [ + 67555208, + 89144832 + ], + [ + 15964897, + 96717538 + ], + [ + 15770392, + 85479266 + ], + [ + 65213650, + 87857648 + ], + [ + 38461080, + 9884430 + ], + [ + 87119508, + 79320227 + ], + [ + 17658526, + 61921993 + ], + [ + 78403517, + 76395707 + ], + [ + 81934874, + 46140928 + ], + [ + 85420653, + 3782779 + ], + [ + 48785220, + 66397441 + ], + [ + 53158312, + 74348991 + ], + [ + 8382284, + 18159073 + ], + [ + 30612429, + 85266610 + ], + [ + 92653463, + 34584211 + ], + [ + 41445955, + 20107251 + ], + [ + 22232810, + 5952936 + ], + [ + 18006973, + 83446268 + ], + [ + 33712663, + 84846119 + ], + [ + 77908872, + 50554051 + ], + [ + 51450747, + 12559214 + ], + [ + 67452287, + 55328821 + ], + [ + 35555618, + 1826702 + ], + [ + 55735445, + 8846638 + ], + [ + 84380861, + 87049368 + ], + [ + 6494977, + 93533002 + ], + [ + 85618119, + 22234976 + ], + [ + 20168630, + 55833317 + ], + [ + 77224588, + 34133523 + ], + [ + 65923069, + 5730884 + ], + [ + 42397942, + 31415312 + ], + [ + 28582122, + 62502936 + ], + [ + 72750901, + 55773540 + ], + [ + 63918874, + 68373671 + ], + [ + 8351067, + 25886981 + ], + [ + 53444511, + 35550446 + ], + [ + 72238464, + 98872329 + ], + [ + 28980700, + 35238054 + ], + [ + 40155481, + 90790671 + ], + [ + 6941895, + 84250968 + ], + [ + 43860309, + 93074325 + ], + [ + 83429297, + 3502365 + ], + [ + 40137952, + 34457894 + ], + [ + 94823427, + 14071004 + ], + [ + 55442625, + 57949929 + ], + [ + 17851656, + 77475149 + ], + [ + 47980995, + 62709720 + ], + [ + 35808238, + 98503797 + ], + [ + 93897699, + 69808226 + ], + [ + 68530939, + 89113767 + ], + [ + 56861451, + 93860222 + ], + [ + 10942812, + 88768640 + ], + [ + 51993687, + 81420550 + ], + [ + 16015978, + 10198725 + ], + [ + 61104297, + 90226551 + ], + [ + 55691199, + 61958856 + ], + [ + 96562024, + 9813440 + ], + [ + 13556493, + 84280299 + ], + [ + 48579253, + 30416448 + ], + [ + 96122142, + 90391331 + ], + [ + 34674468, + 26154856 + ], + [ + 95089432, + 33834120 + ], + [ + 52390681, + 93149020 + ], + [ + 35664435, + 66547817 + ], + [ + 2334214, + 30169892 + ], + [ + 6868736, + 66207707 + ], + [ + 27487995, + 46097870 + ], + [ + 75111601, + 47937441 + ], + [ + 28050596, + 18772432 + ], + [ + 75533262, + 83832243 + ], + [ + 10493393, + 80602935 + ], + [ + 70955946, + 30483842 + ], + [ + 86359227, + 58803917 + ], + [ + 48042545, + 44233531 + ], + [ + 73586678, + 29697553 + ], + [ + 21700823, + 46663518 + ], + [ + 66806414, + 17209546 + ], + [ + 62119519, + 17818826 + ], + [ + 43392231, + 51744445 + ], + [ + 40421251, + 50749089 + ], + [ + 56652267, + 39387630 + ], + [ + 35798709, + 31443495 + ], + [ + 97839663, + 13684586 + ], + [ + 96863300, + 69515903 + ], + [ + 58813523, + 89694167 + ], + [ + 52839579, + 44371414 + ], + [ + 10063699, + 32718913 + ], + [ + 30905287, + 43774675 + ], + [ + 55859199, + 40098243 + ], + [ + 51639615, + 69604470 + ], + [ + 36190674, + 1617655 + ], + [ + 50843708, + 10504294 + ], + [ + 56258482, + 50613032 + ], + [ + 37694271, + 91891045 + ], + [ + 91645612, + 49314503 + ], + [ + 27738938, + 83149697 + ], + [ + 41356730, + 92872689 + ], + [ + 96333597, + 83518824 + ], + [ + 27811255, + 18633982 + ], + [ + 85676989, + 50335256 + ], + [ + 74200245, + 77630104 + ], + [ + 30285013, + 22022151 + ], + [ + 91915943, + 8017298 + ], + [ + 82426449, + 56233874 + ], + [ + 6492306, + 16939505 + ], + [ + 17366232, + 88323978 + ], + [ + 76929602, + 12062371 + ], + [ + 12386681, + 75814571 + ], + [ + 49060629, + 48157940 + ], + [ + 38273253, + 30080335 + ], + [ + 16399695, + 18374926 + ], + [ + 23721776, + 558285 + ], + [ + 10532579, + 17956299 + ], + [ + 66973246, + 68520591 + ], + [ + 37792284, + 24027503 + ], + [ + 4183209, + 88151758 + ], + [ + 53294249, + 63191811 + ], + [ + 91369819, + 88870799 + ], + [ + 25950542, + 30121700 + ], + [ + 33645266, + 16795740 + ], + [ + 97995140, + 29799967 + ], + [ + 54123612, + 82834990 + ], + [ + 2861310, + 30016230 + ], + [ + 40222243, + 85059449 + ], + [ + 55344819, + 81198414 + ], + [ + 85180956, + 3788632 + ], + [ + 62287993, + 63979712 + ], + [ + 47643626, + 41863648 + ], + [ + 89298875, + 41496353 + ], + [ + 27512107, + 90724821 + ], + [ + 37123260, + 71776550 + ], + [ + 89206437, + 68257412 + ], + [ + 75962143, + 69906093 + ], + [ + 74275835, + 25780215 + ], + [ + 67101982, + 4988179 + ], + [ + 74240823, + 71396348 + ], + [ + 78887651, + 79097853 + ], + [ + 52438356, + 27852993 + ], + [ + 97709161, + 8919047 + ], + [ + 90595170, + 25908196 + ], + [ + 26707076, + 46463907 + ], + [ + 22324033, + 83092634 + ], + [ + 17718898, + 54037215 + ], + [ + 87922302, + 96110501 + ], + [ + 99787889, + 11839063 + ], + [ + 89548346, + 51958385 + ], + [ + 80010512, + 19368844 + ], + [ + 59669758, + 15692377 + ], + [ + 64980980, + 58632093 + ], + [ + 80040007, + 78715416 + ], + [ + 6747969, + 71500990 + ], + [ + 87498665, + 40307499 + ], + [ + 21638817, + 98038805 + ], + [ + 7759872, + 8539568 + ], + [ + 62908301, + 45800375 + ], + [ + 42707601, + 21560645 + ], + [ + 45168021, + 72961543 + ], + [ + 15553003, + 84267860 + ], + [ + 99765164, + 97834318 + ], + [ + 47807670, + 43655080 + ], + [ + 77976893, + 53824055 + ], + [ + 17180190, + 15256168 + ], + [ + 11567922, + 445542 + ], + [ + 75750317, + 88219580 + ], + [ + 36456162, + 25116130 + ], + [ + 12697949, + 33035020 + ], + [ + 17459322, + 41020931 + ], + [ + 51596290, + 40038878 + ], + [ + 92190349, + 41580524 + ], + [ + 84121899, + 34563804 + ], + [ + 77761241, + 23602465 + ], + [ + 27440230, + 71891926 + ], + [ + 33910725, + 48165389 + ], + [ + 90166419, + 53506974 + ], + [ + 62556799, + 5821547 + ], + [ + 48950614, + 4891978 + ], + [ + 8654869, + 47317122 + ], + [ + 34423718, + 56025416 + ], + [ + 81258727, + 7370628 + ], + [ + 26097987, + 87594428 + ], + [ + 85609712, + 27632532 + ], + [ + 43202358, + 11521969 + ], + [ + 39684118, + 89568224 + ], + [ + 40756200, + 5793172 + ], + [ + 13792883, + 99330694 + ], + [ + 15590345, + 2328842 + ], + [ + 91817035, + 23355066 + ], + [ + 25567580, + 68973469 + ], + [ + 52139118, + 43166453 + ], + [ + 86964487, + 31099022 + ], + [ + 26953822, + 25702263 + ], + [ + 45922024, + 75701770 + ], + [ + 50432396, + 38558947 + ], + [ + 15135945, + 95949072 + ], + [ + 28135959, + 87227074 + ], + [ + 84903262, + 83492583 + ], + [ + 88186080, + 17896016 + ], + [ + 56504113, + 86570898 + ], + [ + 96603735, + 39148468 + ], + [ + 50322522, + 86382424 + ], + [ + 59818851, + 82803888 + ], + [ + 25076854, + 39551170 + ], + [ + 86606877, + 66639296 + ], + [ + 79060026, + 74956216 + ], + [ + 27699521, + 64249990 + ], + [ + 86529660, + 61962965 + ], + [ + 32616366, + 91815969 + ], + [ + 71844993, + 80512980 + ], + [ + 96715279, + 19006946 + ], + [ + 42123452, + 75237729 + ], + [ + 44748075, + 9756849 + ], + [ + 59730163, + 47308886 + ], + [ + 95747516, + 25827761 + ], + [ + 18070243, + 1527378 + ], + [ + 45623478, + 59094604 + ], + [ + 62075996, + 68123232 + ], + [ + 68381837, + 22372784 + ], + [ + 87615706, + 29257226 + ], + [ + 20976290, + 43906445 + ], + [ + 54028734, + 18561398 + ], + [ + 5022625, + 51084663 + ], + [ + 28528916, + 2484900 + ], + [ + 36249452, + 25353351 + ], + [ + 38709444, + 79017287 + ], + [ + 36160443, + 63394341 + ], + [ + 96362330, + 43552383 + ], + [ + 95414806, + 55990096 + ], + [ + 77747830, + 2783205 + ], + [ + 81632813, + 17178088 + ], + [ + 28045210, + 72211292 + ], + [ + 80549275, + 1812029 + ], + [ + 90396136, + 36965379 + ], + [ + 5835647, + 45085112 + ], + [ + 86382868, + 51728026 + ], + [ + 51733137, + 89524778 + ], + [ + 89102618, + 54373819 + ], + [ + 42895984, + 73933423 + ], + [ + 81210257, + 47182294 + ], + [ + 61860842, + 32802714 + ], + [ + 38088898, + 19249727 + ], + [ + 14125365, + 73484093 + ], + [ + 29762209, + 41594438 + ], + [ + 83794698, + 22937346 + ], + [ + 57731528, + 43004526 + ], + [ + 89748934, + 82564085 + ], + [ + 95531357, + 49791901 + ], + [ + 46306738, + 34951396 + ], + [ + 66378274, + 48102341 + ], + [ + 30091600, + 49256969 + ], + [ + 5687392, + 22143836 + ], + [ + 22315805, + 6086732 + ], + [ + 48676733, + 68532054 + ], + [ + 94410276, + 68429016 + ], + [ + 83475236, + 49649325 + ], + [ + 2034912, + 64099065 + ], + [ + 38700171, + 718031 + ], + [ + 15301459, + 17949507 + ], + [ + 56474339, + 93588587 + ], + [ + 17928237, + 91161054 + ], + [ + 20989496, + 61122328 + ], + [ + 68051528, + 82822802 + ], + [ + 78329312, + 38258183 + ], + [ + 76834404, + 21065363 + ], + [ + 45254407, + 1862181 + ], + [ + 65277795, + 36428374 + ], + [ + 14404249, + 66214707 + ], + [ + 15229382, + 22623101 + ], + [ + 31705811, + 83618127 + ], + [ + 80533292, + 45505022 + ], + [ + 62129303, + 45740378 + ], + [ + 98687563, + 58093470 + ], + [ + 18700984, + 16030563 + ], + [ + 28137616, + 73246479 + ], + [ + 47354551, + 35064518 + ], + [ + 58003735, + 63137247 + ], + [ + 76903974, + 36975395 + ], + [ + 95697728, + 8767519 + ], + [ + 46352943, + 70353776 + ], + [ + 20887454, + 82905816 + ], + [ + 20672061, + 88958731 + ], + [ + 98788431, + 95208387 + ], + [ + 41372996, + 71217253 + ], + [ + 59466917, + 31831502 + ], + [ + 8435789, + 6008318 + ], + [ + 34744909, + 27114346 + ], + [ + 97011362, + 85030674 + ], + [ + 24463866, + 76686750 + ], + [ + 87101274, + 51910204 + ], + [ + 82744879, + 63570884 + ], + [ + 71270533, + 13972952 + ], + [ + 51353396, + 70036505 + ], + [ + 79664368, + 75417662 + ], + [ + 86400445, + 54732061 + ], + [ + 22358254, + 53318305 + ], + [ + 91350613, + 99942176 + ], + [ + 14296817, + 81052481 + ], + [ + 72468936, + 35414968 + ], + [ + 26844963, + 13207970 + ], + [ + 28916607, + 37671689 + ], + [ + 49522240, + 57791131 + ], + [ + 30075544, + 53134171 + ], + [ + 82324850, + 83998605 + ], + [ + 80748670, + 9739165 + ], + [ + 13365160, + 27032133 + ], + [ + 90262738, + 38360505 + ], + [ + 97493817, + 28761291 + ], + [ + 61900292, + 30310433 + ], + [ + 69188663, + 91829859 + ], + [ + 58553361, + 43428382 + ], + [ + 41538417, + 89735698 + ], + [ + 83654532, + 79256582 + ], + [ + 78769662, + 14261808 + ], + [ + 1568857, + 38633077 + ], + [ + 89512447, + 89464442 + ], + [ + 20634998, + 18519823 + ], + [ + 89208210, + 99058914 + ], + [ + 37998854, + 78103706 + ], + [ + 26343432, + 30388401 + ], + [ + 64372989, + 77825914 + ], + [ + 8950829, + 86909811 + ], + [ + 5846690, + 12950571 + ], + [ + 90833679, + 19914465 + ], + [ + 9038830, + 48915072 + ], + [ + 35842231, + 3462738 + ], + [ + 723096, + 34633841 + ], + [ + 79816119, + 58055751 + ], + [ + 87017685, + 6834742 + ], + [ + 85651644, + 23259907 + ], + [ + 82115212, + 28929023 + ], + [ + 7506757, + 30939224 + ], + [ + 93288172, + 37309301 + ], + [ + 89292791, + 56533452 + ], + [ + 17023175, + 5478640 + ], + [ + 31637024, + 4137487 + ], + [ + 23302282, + 34562294 + ], + [ + 90575189, + 72247047 + ], + [ + 48639029, + 64764056 + ], + [ + 61341392, + 27955340 + ], + [ + 99740848, + 52517910 + ], + [ + 27962755, + 17359345 + ], + [ + 54555182, + 81598010 + ], + [ + 2554328, + 50922256 + ], + [ + 57094017, + 18591999 + ], + [ + 39199926, + 57081185 + ], + [ + 52247441, + 53602798 + ], + [ + 15430877, + 91107870 + ], + [ + 89129326, + 61559166 + ], + [ + 43581438, + 17647175 + ], + [ + 20344074, + 34904754 + ], + [ + 75843536, + 14439283 + ], + [ + 96380565, + 24693306 + ], + [ + 8796741, + 42781875 + ], + [ + 2964593, + 33847076 + ], + [ + 7615912, + 18629117 + ], + [ + 67487934, + 77919748 + ], + [ + 85858659, + 45967647 + ], + [ + 87515591, + 95323638 + ], + [ + 6796649, + 17328337 + ], + [ + 32656039, + 59372818 + ], + [ + 93396458, + 58173404 + ], + [ + 38733394, + 82828229 + ], + [ + 28789858, + 40265238 + ], + [ + 94190052, + 26607007 + ], + [ + 78073159, + 31477632 + ], + [ + 15324032, + 84394624 + ], + [ + 81679146, + 18066145 + ], + [ + 33155261, + 67109035 + ], + [ + 64628399, + 69589204 + ], + [ + 25854492, + 52698226 + ], + [ + 87593028, + 97048370 + ], + [ + 43085548, + 86032065 + ], + [ + 40945552, + 96883751 + ], + [ + 32213463, + 51405882 + ], + [ + 57763729, + 13178206 + ], + [ + 5960556, + 97782255 + ], + [ + 26806873, + 21683336 + ], + [ + 42599311, + 68449866 + ], + [ + 73215555, + 39727802 + ], + [ + 80295976, + 93018230 + ], + [ + 32469570, + 87980404 + ], + [ + 9518971, + 75697997 + ], + [ + 21140147, + 84512078 + ], + [ + 33284071, + 45979483 + ], + [ + 23511625, + 66545148 + ], + [ + 422011, + 85706722 + ], + [ + 39717640, + 16544020 + ], + [ + 88263923, + 42786169 + ], + [ + 76026321, + 54591129 + ], + [ + 35429305, + 44250311 + ], + [ + 91807114, + 19139461 + ], + [ + 66622790, + 93021241 + ], + [ + 40347200, + 43181769 + ], + [ + 88222411, + 79305687 + ], + [ + 99690578, + 46277075 + ], + [ + 68255347, + 25717108 + ], + [ + 98478228, + 4447653 + ], + [ + 20817449, + 90730860 + ], + [ + 1070952, + 49688858 + ], + [ + 79022789, + 66396198 + ], + [ + 90004868, + 60859618 + ], + [ + 71188253, + 89914580 + ], + [ + 67915074, + 44105427 + ], + [ + 40698449, + 8744300 + ], + [ + 3242345, + 74719826 + ], + [ + 29518246, + 35448386 + ], + [ + 55984464, + 13508237 + ], + [ + 83131106, + 98538780 + ], + [ + 57133863, + 46346876 + ], + [ + 53577466, + 29005436 + ], + [ + 37680917, + 61958911 + ], + [ + 41219041, + 32807912 + ], + [ + 83032867, + 75245159 + ], + [ + 23144162, + 75928662 + ], + [ + 62122552, + 18757162 + ], + [ + 13389264, + 83062672 + ], + [ + 9043049, + 26862943 + ], + [ + 86033850, + 47984061 + ], + [ + 94610270, + 8093645 + ], + [ + 32520863, + 40263600 + ], + [ + 20560668, + 36414573 + ], + [ + 70780464, + 6442442 + ], + [ + 66777110, + 5717557 + ], + [ + 19711279, + 83450039 + ], + [ + 72869119, + 25859701 + ], + [ + 86046764, + 11911752 + ], + [ + 19333138, + 58376221 + ], + [ + 23093031, + 93148286 + ], + [ + 45272044, + 16625971 + ], + [ + 7873372, + 35916581 + ], + [ + 19081317, + 23961710 + ], + [ + 24466557, + 63414937 + ], + [ + 82227957, + 94952737 + ], + [ + 72452038, + 65463954 + ], + [ + 65909100, + 65943211 + ], + [ + 24433607, + 61656032 + ], + [ + 40936984, + 24188160 + ], + [ + 89914780, + 74406670 + ], + [ + 18227983, + 16926211 + ], + [ + 55050820, + 62675705 + ], + [ + 27519370, + 92018417 + ], + [ + 68818656, + 46760844 + ], + [ + 48457095, + 997970 + ], + [ + 1373131, + 20372315 + ], + [ + 31750864, + 9841536 + ], + [ + 30337514, + 2517812 + ], + [ + 97671237, + 24828167 + ], + [ + 93022970, + 69959402 + ], + [ + 98316187, + 67201556 + ], + [ + 59874521, + 76690036 + ], + [ + 36838789, + 30483820 + ], + [ + 4554634, + 20281592 + ], + [ + 39407548, + 38020108 + ], + [ + 62936109, + 24715641 + ], + [ + 23847738, + 40208282 + ], + [ + 86632035, + 27663953 + ], + [ + 80405949, + 20820132 + ], + [ + 56994635, + 42997543 + ], + [ + 82720869, + 38053167 + ], + [ + 10427399, + 7830755 + ], + [ + 21967621, + 65774748 + ], + [ + 97799033, + 15851613 + ], + [ + 4399599, + 79102121 + ], + [ + 76731740, + 4111770 + ], + [ + 17188505, + 51241284 + ], + [ + 64303112, + 88624496 + ], + [ + 29762140, + 81630084 + ], + [ + 63922553, + 60427246 + ], + [ + 67925503, + 18194421 + ], + [ + 17595519, + 21208874 + ], + [ + 12476120, + 14441584 + ], + [ + 2017120, + 93282484 + ], + [ + 9279509, + 11603897 + ], + [ + 47289313, + 81133621 + ], + [ + 56059922, + 82054954 + ], + [ + 3218050, + 27785737 + ], + [ + 49564365, + 21453096 + ], + [ + 17762957, + 36699103 + ], + [ + 34521283, + 88512829 + ], + [ + 54713492, + 4271586 + ], + [ + 45520751, + 27694083 + ], + [ + 20437695, + 60959897 + ], + [ + 55499551, + 14818597 + ], + [ + 38331197, + 17399994 + ], + [ + 23543445, + 23774525 + ], + [ + 67227950, + 39098139 + ], + [ + 29902350, + 51672530 + ], + [ + 35912062, + 48463336 + ], + [ + 94756914, + 48743504 + ], + [ + 61090979, + 99193828 + ], + [ + 19932795, + 90788146 + ], + [ + 14082923, + 19979205 + ], + [ + 2099038, + 30671165 + ], + [ + 88272725, + 2342083 + ], + [ + 29969817, + 80976525 + ], + [ + 99157218, + 65404954 + ], + [ + 83022262, + 50106357 + ], + [ + 55461775, + 52493641 + ], + [ + 78892832, + 86688771 + ], + [ + 98925339, + 31809502 + ], + [ + 61207218, + 73998069 + ], + [ + 17032156, + 54912620 + ], + [ + 66109070, + 8280988 + ], + [ + 40637540, + 41244393 + ], + [ + 87433651, + 92410198 + ], + [ + 92318524, + 7082023 + ], + [ + 154908, + 64531984 + ], + [ + 95555012, + 41297585 + ], + [ + 54336231, + 76231378 + ], + [ + 98829469, + 64728034 + ], + [ + 30229445, + 88803317 + ], + [ + 68792948, + 8136566 + ], + [ + 78471526, + 81846795 + ], + [ + 40025717, + 61848324 + ], + [ + 18343460, + 45546803 + ], + [ + 56179986, + 6552679 + ], + [ + 91475946, + 90981764 + ], + [ + 3300834, + 481651 + ], + [ + 76646028, + 24872338 + ], + [ + 26619, + 80714642 + ], + [ + 35018190, + 5022239 + ], + [ + 31596855, + 79263236 + ], + [ + 93541346, + 19647942 + ], + [ + 32050944, + 84264565 + ], + [ + 73937460, + 84355692 + ], + [ + 8716691, + 82729418 + ], + [ + 1155314, + 43703440 + ], + [ + 98773652, + 79214243 + ], + [ + 52237093, + 56193401 + ], + [ + 47128107, + 96517669 + ], + [ + 40045684, + 27382727 + ], + [ + 74947344, + 93468366 + ], + [ + 21871890, + 78973379 + ], + [ + 57199803, + 73531621 + ], + [ + 3905230, + 47681915 + ], + [ + 49995180, + 73546647 + ], + [ + 89363751, + 73448195 + ], + [ + 30969340, + 15147175 + ], + [ + 55758970, + 65312825 + ], + [ + 4865005, + 18043989 + ], + [ + 47937092, + 71217753 + ], + [ + 46348328, + 25525082 + ], + [ + 43166306, + 80573853 + ], + [ + 96848806, + 94408641 + ], + [ + 40024678, + 3913771 + ], + [ + 25098649, + 86910259 + ], + [ + 54462009, + 43304799 + ], + [ + 16457907, + 66091216 + ], + [ + 32135310, + 49883634 + ], + [ + 95662155, + 33991254 + ], + [ + 13769500, + 77511187 + ], + [ + 95434918, + 5640524 + ], + [ + 31830251, + 56381949 + ], + [ + 6705451, + 86501268 + ], + [ + 87136242, + 97000227 + ], + [ + 30278098, + 32997334 + ], + [ + 95927352, + 32781268 + ], + [ + 65264402, + 96382710 + ], + [ + 86126020, + 86010816 + ], + [ + 72394947, + 83339641 + ], + [ + 32974276, + 86298069 + ], + [ + 73857694, + 59969635 + ], + [ + 51003506, + 5420383 + ], + [ + 48965675, + 70966322 + ], + [ + 35026106, + 50333233 + ], + [ + 77385677, + 94305453 + ], + [ + 74060584, + 12690389 + ], + [ + 73045272, + 98253799 + ], + [ + 26640820, + 6251863 + ], + [ + 80242506, + 85720925 + ], + [ + 70597583, + 96776387 + ], + [ + 55506998, + 92352070 + ], + [ + 52638331, + 85896669 + ], + [ + 82378266, + 47815659 + ], + [ + 21540909, + 33436716 + ], + [ + 35319140, + 44937405 + ], + [ + 94848466, + 30004509 + ], + [ + 87815184, + 24628784 + ], + [ + 13115045, + 96843605 + ], + [ + 9589900, + 85167270 + ], + [ + 28481114, + 70559787 + ], + [ + 68948, + 16788289 + ], + [ + 97692394, + 60738677 + ], + [ + 44562889, + 55063555 + ], + [ + 59699139, + 44409407 + ], + [ + 12060932, + 87209 + ], + [ + 41123012, + 49684363 + ], + [ + 58924256, + 1127540 + ], + [ + 29500440, + 22177945 + ], + [ + 4216980, + 98488065 + ], + [ + 58177963, + 35647169 + ], + [ + 27909247, + 86436441 + ], + [ + 59055611, + 73126142 + ], + [ + 36688625, + 95034162 + ], + [ + 7117424, + 19751482 + ], + [ + 17050323, + 23552618 + ], + [ + 75231682, + 97663946 + ], + [ + 91426073, + 45677582 + ], + [ + 55054220, + 60151368 + ], + [ + 7813763, + 80473035 + ], + [ + 74273107, + 14082678 + ], + [ + 22705762, + 3124050 + ], + [ + 69116081, + 76404315 + ], + [ + 36821890, + 80872683 + ], + [ + 35082252, + 48934882 + ], + [ + 13627712, + 86335109 + ], + [ + 55909930, + 53193326 + ], + [ + 8280845, + 60817370 + ], + [ + 87313514, + 54051641 + ], + [ + 92641281, + 19852573 + ], + [ + 81083350, + 60817986 + ], + [ + 50964697, + 82165106 + ], + [ + 96886639, + 26302799 + ], + [ + 99042001, + 78570230 + ], + [ + 36086229, + 55644103 + ], + [ + 23875672, + 99481422 + ], + [ + 89081159, + 21385970 + ], + [ + 64612731, + 45015619 + ], + [ + 55523560, + 36136112 + ], + [ + 79664265, + 15017883 + ], + [ + 384509, + 8813209 + ], + [ + 11180705, + 2447439 + ], + [ + 34080097, + 38435677 + ], + [ + 78835593, + 50677486 + ], + [ + 17253948, + 15631904 + ], + [ + 67026205, + 3206205 + ], + [ + 4372980, + 90252181 + ], + [ + 8596204, + 68563951 + ], + [ + 51459436, + 19342755 + ], + [ + 43063537, + 32985167 + ], + [ + 39294199, + 52273949 + ], + [ + 54190228, + 42139351 + ], + [ + 63442909, + 61145882 + ], + [ + 84981453, + 5211738 + ], + [ + 38987965, + 15851321 + ], + [ + 85595351, + 43992194 + ], + [ + 74911727, + 61198890 + ], + [ + 89880363, + 1314268 + ], + [ + 16885135, + 78634587 + ], + [ + 41914491, + 12932295 + ], + [ + 82800071, + 40335318 + ], + [ + 7095488, + 69381394 + ], + [ + 73688170, + 85965874 + ], + [ + 80919588, + 55454404 + ], + [ + 59496474, + 81467548 + ], + [ + 78975788, + 36593576 + ], + [ + 82508349, + 22891929 + ], + [ + 46692706, + 95243087 + ], + [ + 98399089, + 64870422 + ], + [ + 72979579, + 89717742 + ], + [ + 57543128, + 86396065 + ], + [ + 29106752, + 63532501 + ], + [ + 15576246, + 19962108 + ], + [ + 48352984, + 92342171 + ], + [ + 19542763, + 17140053 + ], + [ + 96894029, + 8777177 + ], + [ + 26435459, + 8235376 + ], + [ + 17070908, + 33216600 + ], + [ + 33356787, + 80185100 + ], + [ + 25843019, + 52787801 + ], + [ + 77717933, + 24715829 + ], + [ + 38157025, + 24890664 + ], + [ + 98103982, + 33918071 + ], + [ + 64445801, + 75132355 + ], + [ + 97591088, + 44863011 + ], + [ + 74379065, + 91629125 + ], + [ + 66602546, + 75701116 + ], + [ + 84212932, + 93535818 + ], + [ + 6821574, + 71274289 + ], + [ + 83315073, + 57870683 + ], + [ + 33813552, + 98086328 + ], + [ + 6818884, + 93145300 + ], + [ + 67873081, + 83109456 + ], + [ + 21560162, + 55343858 + ], + [ + 57546489, + 65268745 + ], + [ + 19947192, + 43023889 + ], + [ + 53677734, + 1220272 + ], + [ + 95029091, + 27956136 + ], + [ + 40354581, + 36767704 + ], + [ + 91565786, + 21986684 + ], + [ + 22129591, + 90049723 + ], + [ + 32647852, + 20898765 + ], + [ + 36374730, + 88253339 + ], + [ + 69099298, + 87159213 + ], + [ + 50875451, + 81183095 + ], + [ + 35527532, + 49393414 + ], + [ + 49666268, + 16980866 + ], + [ + 69479778, + 90334323 + ], + [ + 90729699, + 87785340 + ], + [ + 7395112, + 34024332 + ], + [ + 65121425, + 16919274 + ], + [ + 77593696, + 33956487 + ], + [ + 15454340, + 96864846 + ], + [ + 92345483, + 42371555 + ], + [ + 33723571, + 73876854 + ], + [ + 69752955, + 59815969 + ], + [ + 70396364, + 47671067 + ], + [ + 29418037, + 13162200 + ], + [ + 92478583, + 33132350 + ], + [ + 38374989, + 79537185 + ], + [ + 4125181, + 78567108 + ], + [ + 44567749, + 1853992 + ], + [ + 61867657, + 27413172 + ], + [ + 32845497, + 13705755 + ], + [ + 93018257, + 58355031 + ], + [ + 65286214, + 30735722 + ], + [ + 55476833, + 39010476 + ], + [ + 41738055, + 32442830 + ], + [ + 63672791, + 50081580 + ], + [ + 39057944, + 90467788 + ], + [ + 29692334, + 62764940 + ], + [ + 59107139, + 80792392 + ], + [ + 90357498, + 39773314 + ], + [ + 44370524, + 40401727 + ], + [ + 89242720, + 3647620 + ], + [ + 4338509, + 3974625 + ], + [ + 74808756, + 71942468 + ], + [ + 25359154, + 79131720 + ], + [ + 47791363, + 71175447 + ], + [ + 11751144, + 42873058 + ], + [ + 40954188, + 18023813 + ], + [ + 82751437, + 26262480 + ], + [ + 91771208, + 74768762 + ], + [ + 17717664, + 29515356 + ], + [ + 19086669, + 94668780 + ], + [ + 69253689, + 96060466 + ], + [ + 67568857, + 83790487 + ], + [ + 66350302, + 53520018 + ], + [ + 6367524, + 33140682 + ], + [ + 9176146, + 46982035 + ], + [ + 33839166, + 97502674 + ], + [ + 71541274, + 46506522 + ], + [ + 83636747, + 17157534 + ], + [ + 11315385, + 33907768 + ], + [ + 6899386, + 87529329 + ], + [ + 36336409, + 82181109 + ], + [ + 12918611, + 16924634 + ], + [ + 55031322, + 80986461 + ], + [ + 53381249, + 84478771 + ], + [ + 64374522, + 62244228 + ], + [ + 96260358, + 47477245 + ], + [ + 2537566, + 24755410 + ], + [ + 6182711, + 58924739 + ], + [ + 19798672, + 78541833 + ], + [ + 8328557, + 43301105 + ], + [ + 1318761, + 96920252 + ], + [ + 7314778, + 35014453 + ], + [ + 85502201, + 50371221 + ], + [ + 88093546, + 99353615 + ], + [ + 53175336, + 97059210 + ], + [ + 9607967, + 38926807 + ], + [ + 54570429, + 15224089 + ], + [ + 99275165, + 95030189 + ], + [ + 76788013, + 7696561 + ], + [ + 80924225, + 79063317 + ], + [ + 49225578, + 76708269 + ], + [ + 77836911, + 225670 + ], + [ + 80547035, + 20877573 + ], + [ + 16796808, + 49417110 + ], + [ + 29913687, + 15378137 + ], + [ + 68165447, + 6476183 + ], + [ + 82538125, + 18427705 + ], + [ + 18416518, + 77604907 + ], + [ + 31356303, + 4263719 + ], + [ + 68259111, + 83520521 + ], + [ + 94538585, + 76219362 + ], + [ + 32657887, + 25512157 + ], + [ + 30207114, + 93461437 + ], + [ + 26300580, + 19617838 + ], + [ + 15025116, + 668892 + ], + [ + 9621901, + 71507778 + ], + [ + 22989041, + 72485051 + ], + [ + 49876918, + 98080998 + ], + [ + 75491341, + 18178433 + ], + [ + 37726228, + 70632154 + ], + [ + 89015474, + 3631066 + ], + [ + 61314802, + 40281481 + ], + [ + 91118156, + 74582459 + ], + [ + 57984994, + 38692047 + ], + [ + 61265305, + 78382808 + ], + [ + 72657445, + 40229809 + ], + [ + 33146360, + 71671237 + ], + [ + 77498738, + 47672380 + ], + [ + 68997345, + 40368806 + ], + [ + 93422449, + 80583645 + ], + [ + 48616241, + 94520037 + ], + [ + 97188773, + 25142403 + ], + [ + 40103929, + 72186237 + ], + [ + 49983517, + 21506891 + ], + [ + 37204412, + 43120071 + ], + [ + 5903339, + 60074987 + ], + [ + 8966714, + 58313372 + ], + [ + 66887159, + 63968731 + ], + [ + 11214522, + 15431731 + ], + [ + 38730817, + 39666157 + ], + [ + 2279205, + 82370389 + ], + [ + 33143378, + 11677692 + ], + [ + 49909740, + 89810101 + ], + [ + 27679119, + 53748012 + ], + [ + 46815288, + 7912216 + ], + [ + 38227607, + 20176934 + ], + [ + 44227589, + 5984697 + ], + [ + 4095572, + 50846601 + ], + [ + 25012392, + 94580078 + ], + [ + 91530565, + 42780034 + ], + [ + 70836767, + 97389630 + ], + [ + 41540099, + 60380599 + ], + [ + 38899271, + 30311907 + ], + [ + 77375063, + 34351138 + ], + [ + 20763103, + 58802510 + ], + [ + 41719534, + 70890230 + ], + [ + 6423062, + 94746617 + ], + [ + 21932398, + 6305474 + ], + [ + 96680255, + 27125575 + ], + [ + 82589766, + 15770331 + ], + [ + 65239137, + 96577724 + ], + [ + 9102685, + 82277625 + ], + [ + 80721775, + 26680805 + ], + [ + 85185838, + 6300383 + ], + [ + 86659519, + 13113281 + ], + [ + 88039517, + 20744540 + ], + [ + 86895700, + 14763816 + ], + [ + 48504692, + 97651907 + ], + [ + 30369587, + 78240988 + ], + [ + 20363095, + 88820750 + ], + [ + 65940149, + 88257470 + ], + [ + 99538704, + 19324215 + ], + [ + 28328901, + 35706527 + ], + [ + 70994302, + 91517104 + ], + [ + 64050738, + 3399987 + ], + [ + 85478331, + 14672026 + ], + [ + 79635680, + 39794401 + ], + [ + 16480636, + 95667596 + ], + [ + 20324478, + 19850517 + ], + [ + 7619859, + 35252322 + ], + [ + 93332122, + 67830755 + ], + [ + 36231476, + 23755231 + ], + [ + 13048245, + 58462611 + ], + [ + 24442857, + 18488388 + ], + [ + 88244818, + 9932040 + ], + [ + 4512102, + 51768482 + ], + [ + 78587780, + 50913612 + ], + [ + 90998593, + 89630788 + ], + [ + 78353860, + 801880 + ], + [ + 64465002, + 64706635 + ], + [ + 1226995, + 25639860 + ], + [ + 3396074, + 18324802 + ], + [ + 19076435, + 48674858 + ], + [ + 28530145, + 74566758 + ], + [ + 97573385, + 66278321 + ], + [ + 94429624, + 91586218 + ], + [ + 63327198, + 82019677 + ], + [ + 54233785, + 8696160 + ], + [ + 26196949, + 70801219 + ], + [ + 70605102, + 33873636 + ], + [ + 50316816, + 63542859 + ], + [ + 16867746, + 29359406 + ], + [ + 45983123, + 86222173 + ], + [ + 93731421, + 42684139 + ], + [ + 47056180, + 47987829 + ], + [ + 20816281, + 86347878 + ], + [ + 47943170, + 35643885 + ], + [ + 11213467, + 6287821 + ], + [ + 6158407, + 21380330 + ], + [ + 49991588, + 81911107 + ], + [ + 43944966, + 28859048 + ], + [ + 95433797, + 57405592 + ], + [ + 69880171, + 26536810 + ], + [ + 57450046, + 80859345 + ], + [ + 42510693, + 63643479 + ], + [ + 23205183, + 28004661 + ], + [ + 58212447, + 72545252 + ], + [ + 29887446, + 90559908 + ], + [ + 2261804, + 44278998 + ], + [ + 595362, + 85843666 + ], + [ + 84477794, + 35316256 + ], + [ + 17224794, + 3886587 + ], + [ + 83248153, + 64035808 + ], + [ + 84190738, + 38635883 + ], + [ + 30718554, + 87224292 + ], + [ + 84412370, + 79742730 + ], + [ + 22958277, + 379590 + ], + [ + 81689510, + 96446080 + ], + [ + 45445471, + 83046672 + ], + [ + 46543430, + 83726626 + ], + [ + 46958530, + 30716043 + ], + [ + 73981947, + 53216598 + ], + [ + 95584764, + 83416120 + ], + [ + 58540520, + 35766726 + ], + [ + 83111121, + 77867913 + ], + [ + 83193395, + 78577741 + ], + [ + 30349476, + 53405529 + ], + [ + 70082919, + 11442403 + ], + [ + 95331308, + 7165039 + ], + [ + 66725022, + 59048595 + ], + [ + 59710253, + 58736224 + ], + [ + 95544603, + 12120069 + ], + [ + 18937481, + 77766935 + ], + [ + 27572083, + 51844941 + ], + [ + 93906584, + 48336672 + ], + [ + 93482805, + 45843496 + ], + [ + 72937302, + 46845476 + ], + [ + 57817966, + 76370377 + ], + [ + 17078386, + 98106376 + ], + [ + 54954551, + 3742966 + ], + [ + 47084213, + 99872292 + ], + [ + 86517185, + 48969717 + ], + [ + 9375122, + 51284846 + ], + [ + 26519644, + 4500050 + ], + [ + 67469620, + 21380617 + ], + [ + 88183159, + 7154606 + ], + [ + 35328878, + 48041768 + ], + [ + 31004165, + 54472459 + ], + [ + 17007822, + 83272114 + ], + [ + 65334210, + 47241764 + ], + [ + 75556582, + 71941326 + ], + [ + 4661923, + 80041547 + ], + [ + 51346986, + 24964236 + ], + [ + 95281766, + 92413866 + ], + [ + 62623548, + 26953563 + ], + [ + 15247271, + 48590526 + ], + [ + 53683197, + 6147511 + ], + [ + 41175150, + 43684709 + ], + [ + 53184915, + 21351569 + ], + [ + 54897075, + 69503325 + ], + [ + 28458385, + 54542820 + ], + [ + 93428674, + 76622740 + ], + [ + 86634202, + 89225013 + ], + [ + 98935328, + 81657267 + ], + [ + 1978520, + 87072799 + ], + [ + 56280868, + 38586307 + ], + [ + 79195425, + 23582257 + ], + [ + 17882917, + 39688981 + ], + [ + 2779509, + 17548808 + ], + [ + 72384078, + 92348426 + ], + [ + 78854872, + 88311153 + ], + [ + 75588873, + 98772529 + ], + [ + 24966572, + 88674441 + ], + [ + 92317606, + 94197178 + ], + [ + 33359253, + 83351826 + ], + [ + 9598968, + 88746874 + ], + [ + 96511562, + 61586026 + ], + [ + 73464027, + 57772250 + ], + [ + 84013960, + 66641412 + ], + [ + 51153388, + 18009789 + ], + [ + 33364848, + 54873263 + ], + [ + 67128315, + 62131383 + ], + [ + 13437309, + 1976781 + ], + [ + 12216783, + 1308130 + ], + [ + 93424162, + 96257911 + ], + [ + 75043639, + 70115043 + ], + [ + 33970511, + 53942731 + ], + [ + 77768714, + 90018718 + ], + [ + 45159260, + 17820114 + ], + [ + 80672996, + 83205505 + ], + [ + 16000221, + 96626151 + ], + [ + 86840331, + 21182887 + ], + [ + 12842120, + 17886070 + ], + [ + 98015578, + 94881035 + ], + [ + 28700308, + 13275815 + ], + [ + 89027630, + 56004029 + ], + [ + 36658555, + 25312007 + ], + [ + 80189632, + 37740873 + ], + [ + 96264432, + 46582904 + ], + [ + 45124404, + 40240014 + ], + [ + 80149909, + 97159504 + ], + [ + 97735232, + 7993649 + ], + [ + 60146539, + 45480102 + ], + [ + 76727225, + 30192114 + ], + [ + 29948454, + 25702636 + ], + [ + 44640187, + 64091896 + ], + [ + 61641235, + 96697256 + ], + [ + 25842506, + 94017420 + ], + [ + 93821443, + 56151024 + ], + [ + 73994446, + 19802090 + ], + [ + 39831765, + 14233954 + ], + [ + 96962140, + 88325184 + ], + [ + 9962138, + 23930975 + ], + [ + 65174605, + 11948040 + ], + [ + 94932814, + 28602940 + ], + [ + 25664366, + 33782741 + ], + [ + 87776134, + 85850481 + ], + [ + 38869453, + 69711781 + ], + [ + 94669497, + 11777697 + ], + [ + 97488696, + 76806755 + ], + [ + 23959401, + 1587537 + ], + [ + 4799723, + 50859041 + ], + [ + 71164872, + 7793024 + ], + [ + 57155114, + 90489903 + ], + [ + 68778072, + 61521416 + ], + [ + 58733517, + 76498914 + ], + [ + 81729456, + 98272897 + ], + [ + 64853035, + 57425017 + ], + [ + 10528728, + 96255593 + ], + [ + 17341795, + 8912200 + ], + [ + 3179843, + 41252139 + ], + [ + 30185167, + 15285892 + ], + [ + 47183180, + 85649819 + ], + [ + 94167485, + 41232115 + ], + [ + 19181316, + 97574463 + ], + [ + 37994224, + 45757458 + ], + [ + 46672954, + 82949155 + ], + [ + 57227360, + 74157322 + ], + [ + 2284259, + 71500668 + ], + [ + 85204628, + 40718906 + ], + [ + 27552910, + 18890126 + ], + [ + 94884305, + 40999596 + ], + [ + 62934259, + 41283689 + ], + [ + 89670270, + 7326593 + ], + [ + 12186825, + 10173306 + ], + [ + 27266151, + 12026932 + ], + [ + 68394922, + 72955763 + ], + [ + 62020644, + 21593177 + ], + [ + 17958191, + 56661025 + ], + [ + 25151669, + 97270423 + ], + [ + 44693119, + 28596509 + ], + [ + 74658473, + 11105245 + ], + [ + 78547057, + 32466503 + ], + [ + 98776080, + 8280580 + ], + [ + 33372594, + 30876871 + ], + [ + 94306580, + 19668806 + ], + [ + 27777156, + 51028140 + ], + [ + 13931193, + 68653988 + ], + [ + 39441598, + 45090905 + ], + [ + 26796560, + 67142669 + ], + [ + 98242389, + 12070705 + ], + [ + 94086785, + 62958563 + ], + [ + 66081267, + 63459397 + ], + [ + 6188172, + 39181905 + ], + [ + 74679703, + 93612409 + ], + [ + 66295009, + 63443710 + ], + [ + 84622526, + 35279363 + ], + [ + 31808966, + 85825329 + ], + [ + 15737991, + 8531785 + ], + [ + 57872219, + 7263063 + ], + [ + 33249401, + 96333073 + ], + [ + 43884519, + 47598677 + ], + [ + 90416772, + 26039108 + ], + [ + 45758718, + 32153998 + ], + [ + 22125039, + 44675001 + ], + [ + 92337257, + 67732795 + ], + [ + 3115821, + 7397472 + ], + [ + 62580879, + 61226870 + ], + [ + 68072641, + 27036171 + ], + [ + 82825288, + 61600313 + ], + [ + 70723819, + 52310794 + ], + [ + 96870464, + 54295062 + ], + [ + 62372717, + 57823137 + ], + [ + 17676964, + 34739519 + ], + [ + 18075653, + 89879387 + ], + [ + 53019642, + 61712559 + ], + [ + 28123632, + 41879267 + ], + [ + 71287895, + 97266614 + ], + [ + 84328644, + 57556950 + ], + [ + 23129098, + 86543945 + ], + [ + 51452972, + 22627884 + ], + [ + 53711904, + 48404733 + ], + [ + 38593012, + 58602353 + ], + [ + 67381885, + 14813029 + ], + [ + 66662492, + 71143870 + ], + [ + 3097709, + 91063498 + ], + [ + 85561199, + 94892774 + ], + [ + 65574892, + 39753727 + ], + [ + 63685921, + 94394365 + ], + [ + 78344037, + 90336115 + ], + [ + 98953252, + 80160436 + ], + [ + 59028946, + 51986229 + ], + [ + 42731839, + 29686269 + ], + [ + 48519013, + 58374585 + ], + [ + 93022014, + 12238191 + ], + [ + 35363495, + 20475418 + ], + [ + 67423820, + 24500590 + ], + [ + 96587132, + 46214392 + ], + [ + 58219298, + 11130983 + ], + [ + 53039405, + 19173554 + ], + [ + 53279426, + 79521999 + ], + [ + 49443051, + 8858284 + ], + [ + 43501328, + 79348822 + ], + [ + 31998159, + 98870889 + ], + [ + 35637940, + 79245711 + ], + [ + 24416287, + 66049428 + ], + [ + 49622814, + 21613924 + ], + [ + 30534525, + 44437769 + ], + [ + 20034771, + 5213140 + ], + [ + 37280922, + 43498711 + ], + [ + 38954023, + 35141710 + ], + [ + 60856373, + 72829645 + ], + [ + 23632523, + 18774947 + ], + [ + 13287159, + 85687155 + ], + [ + 43542254, + 23602627 + ], + [ + 19274808, + 70845730 + ], + [ + 87406245, + 79349680 + ], + [ + 77892829, + 11399452 + ], + [ + 55319386, + 18726190 + ], + [ + 86298787, + 18734178 + ], + [ + 78297888, + 29992370 + ], + [ + 62152798, + 42291544 + ], + [ + 78025875, + 45297106 + ], + [ + 42888307, + 23326922 + ], + [ + 95584593, + 4444147 + ], + [ + 98458973, + 43056348 + ], + [ + 70075509, + 15520549 + ], + [ + 46488850, + 39403683 + ], + [ + 88996772, + 96909576 + ], + [ + 64120278, + 96276378 + ], + [ + 10527858, + 33199546 + ], + [ + 77175532, + 25312968 + ], + [ + 77723445, + 88636435 + ], + [ + 26956881, + 37533611 + ], + [ + 66799764, + 95290761 + ], + [ + 16049136, + 50100245 + ], + [ + 55675845, + 33119655 + ], + [ + 94945818, + 99373198 + ], + [ + 30646406, + 70061609 + ], + [ + 69814039, + 28254435 + ], + [ + 48583188, + 39429810 + ], + [ + 40250046, + 29805583 + ], + [ + 97051185, + 78899624 + ], + [ + 30355934, + 89798177 + ], + [ + 82890492, + 66110667 + ], + [ + 58101414, + 77632456 + ], + [ + 5241188, + 48166965 + ], + [ + 22817318, + 7009812 + ], + [ + 90611760, + 25522921 + ], + [ + 50756416, + 22243450 + ], + [ + 11335474, + 79805409 + ], + [ + 31842431, + 3330914 + ], + [ + 83843088, + 74245672 + ], + [ + 52402481, + 2270996 + ], + [ + 77188373, + 93712209 + ], + [ + 15330109, + 25688754 + ], + [ + 23416429, + 75403659 + ], + [ + 20788215, + 94229218 + ], + [ + 40997420, + 15119862 + ], + [ + 94279026, + 76292779 + ], + [ + 93865018, + 70131768 + ], + [ + 74329111, + 56239739 + ], + [ + 52260335, + 30780718 + ], + [ + 28597134, + 71282647 + ], + [ + 17724520, + 87861985 + ], + [ + 13349463, + 73657473 + ], + [ + 47472783, + 33978874 + ], + [ + 90750093, + 11996329 + ], + [ + 87661939, + 85663854 + ], + [ + 37553032, + 55765527 + ], + [ + 92723702, + 11106473 + ], + [ + 88424170, + 77856582 + ], + [ + 7561575, + 53724992 + ], + [ + 68791955, + 7593489 + ], + [ + 60820054, + 82931913 + ], + [ + 67631209, + 61066118 + ], + [ + 25997573, + 55423770 + ], + [ + 28209386, + 17264638 + ], + [ + 33335335, + 22721977 + ], + [ + 69025667, + 76482675 + ], + [ + 1261989, + 54839001 + ], + [ + 61781516, + 73435806 + ], + [ + 23674933, + 64755667 + ], + [ + 10841255, + 13797517 + ], + [ + 49472411, + 9167557 + ], + [ + 36314893, + 44864404 + ], + [ + 21075638, + 1714552 + ], + [ + 35368369, + 56432707 + ], + [ + 89185443, + 20805064 + ], + [ + 31548355, + 56372304 + ], + [ + 38768657, + 36401347 + ], + [ + 7875346, + 46960647 + ], + [ + 8745809, + 51128285 + ], + [ + 35350289, + 14379911 + ], + [ + 93601932, + 42420663 + ], + [ + 52506470, + 61542861 + ], + [ + 75212647, + 68973921 + ], + [ + 46056744, + 73744761 + ], + [ + 78808489, + 43803775 + ], + [ + 46857102, + 17594371 + ], + [ + 86234542, + 8821789 + ], + [ + 56312856, + 60698697 + ], + [ + 19860954, + 17610046 + ], + [ + 13751944, + 8754725 + ], + [ + 12183574, + 93713229 + ], + [ + 56824518, + 8578400 + ], + [ + 42426035, + 63411206 + ], + [ + 6018162, + 85200342 + ], + [ + 90884180, + 46185975 + ], + [ + 71245472, + 42260542 + ], + [ + 66375489, + 95965551 + ], + [ + 43113215, + 57196522 + ], + [ + 68404080, + 25147070 + ], + [ + 20909001, + 51484340 + ], + [ + 20653864, + 6873317 + ], + [ + 19709584, + 66568343 + ], + [ + 47605838, + 18517975 + ], + [ + 98187234, + 44942973 + ], + [ + 46989838, + 73428807 + ], + [ + 75328497, + 63484943 + ], + [ + 24317153, + 37498013 + ], + [ + 64632413, + 58172857 + ], + [ + 43971110, + 75093395 + ], + [ + 74062996, + 43498178 + ], + [ + 5991621, + 54133522 + ], + [ + 63658491, + 55823106 + ], + [ + 97665755, + 165146 + ], + [ + 77945649, + 65246766 + ], + [ + 91429855, + 13353591 + ], + [ + 52837, + 34283527 + ], + [ + 20066376, + 87856621 + ], + [ + 73372342, + 51672243 + ], + [ + 30765805, + 20068558 + ], + [ + 40053864, + 82729101 + ], + [ + 63097357, + 68740948 + ], + [ + 47098411, + 67100109 + ], + [ + 31280132, + 56538823 + ], + [ + 76413255, + 75671740 + ], + [ + 82249687, + 58243182 + ], + [ + 87942752, + 28401950 + ], + [ + 45016037, + 22480236 + ], + [ + 28069437, + 53125944 + ], + [ + 28268408, + 32942434 + ], + [ + 76284778, + 43529535 + ], + [ + 66428980, + 30909416 + ], + [ + 21733068, + 42457208 + ], + [ + 57847135, + 81528465 + ], + [ + 6097893, + 48212564 + ], + [ + 38426805, + 83248174 + ], + [ + 28022606, + 48763512 + ], + [ + 5167683, + 68882945 + ], + [ + 29328109, + 9392247 + ], + [ + 94484624, + 40184998 + ], + [ + 34731336, + 40464805 + ], + [ + 34490527, + 90011280 + ], + [ + 58238380, + 35858324 + ], + [ + 52980616, + 63006160 + ], + [ + 77053956, + 82699166 + ], + [ + 51382063, + 5593697 + ], + [ + 13846170, + 11741339 + ], + [ + 91403675, + 64211347 + ], + [ + 93253739, + 98031123 + ], + [ + 73308118, + 89943537 + ], + [ + 94194175, + 77930036 + ], + [ + 60364801, + 7847354 + ], + [ + 90041372, + 41913366 + ], + [ + 50275641, + 70023383 + ], + [ + 61998968, + 9276243 + ], + [ + 83090275, + 36418881 + ], + [ + 64379705, + 39699265 + ], + [ + 45967258, + 48981663 + ], + [ + 13199208, + 79828692 + ], + [ + 29081877, + 4388983 + ], + [ + 73225931, + 27797724 + ], + [ + 66087684, + 11607083 + ], + [ + 74196917, + 18203648 + ], + [ + 6734802, + 4734674 + ], + [ + 4112013, + 60484840 + ], + [ + 18394739, + 2182958 + ], + [ + 42469219, + 70856258 + ], + [ + 5725463, + 53078583 + ], + [ + 6799830, + 3219940 + ], + [ + 32843469, + 29948371 + ], + [ + 31155509, + 64412183 + ], + [ + 1944896, + 99011125 + ], + [ + 27785265, + 33728262 + ], + [ + 33343566, + 32502849 + ], + [ + 15405047, + 63525141 + ], + [ + 61888094, + 34776019 + ], + [ + 7321640, + 93951785 + ], + [ + 43081524, + 63132260 + ], + [ + 69064792, + 75244020 + ], + [ + 64765575, + 96138628 + ], + [ + 82264644, + 44491705 + ], + [ + 96081597, + 60371526 + ], + [ + 92449202, + 99149653 + ], + [ + 54110883, + 61450775 + ], + [ + 78881426, + 48455555 + ], + [ + 16289406, + 514238 + ], + [ + 30660750, + 71097950 + ], + [ + 3697802, + 9027190 + ], + [ + 50564573, + 22749376 + ], + [ + 14754548, + 99377081 + ], + [ + 57933657, + 21352177 + ], + [ + 83921495, + 76599044 + ], + [ + 6528231, + 95575459 + ], + [ + 33272058, + 84783583 + ], + [ + 91381474, + 90521663 + ], + [ + 56030874, + 55202685 + ], + [ + 66218301, + 96495749 + ], + [ + 14002215, + 85505202 + ], + [ + 90229780, + 16239593 + ], + [ + 84084202, + 36060432 + ], + [ + 61781353, + 36978751 + ], + [ + 18235628, + 44282345 + ], + [ + 38480819, + 58484543 + ], + [ + 75588269, + 54599970 + ], + [ + 28479209, + 52393671 + ], + [ + 6518171, + 21827248 + ], + [ + 93212218, + 71782770 + ], + [ + 27498317, + 70596092 + ], + [ + 63943118, + 87686719 + ], + [ + 96730450, + 43536714 + ], + [ + 21601725, + 74282702 + ], + [ + 44308060, + 65750757 + ], + [ + 69023936, + 12104876 + ], + [ + 17520139, + 38816707 + ], + [ + 66052618, + 49228901 + ], + [ + 66298427, + 35962654 + ], + [ + 2931363, + 41516432 + ], + [ + 85349897, + 77157680 + ], + [ + 27171487, + 66314322 + ], + [ + 58057360, + 66586716 + ], + [ + 40679887, + 72599498 + ], + [ + 19574960, + 46381166 + ], + [ + 16863301, + 65530008 + ], + [ + 2760860, + 39761731 + ], + [ + 75218931, + 86370496 + ], + [ + 56565815, + 17043978 + ], + [ + 21548355, + 96560489 + ], + [ + 57524515, + 35547682 + ], + [ + 25340376, + 95061250 + ], + [ + 7770927, + 1007966 + ], + [ + 91335246, + 65604299 + ], + [ + 71130348, + 95341267 + ], + [ + 77962851, + 29883856 + ], + [ + 48481145, + 96573871 + ], + [ + 36781875, + 1364350 + ], + [ + 77892591, + 71984737 + ], + [ + 9171147, + 98976096 + ], + [ + 13238421, + 40458097 + ], + [ + 57872224, + 61761841 + ], + [ + 10431748, + 20259373 + ], + [ + 95552326, + 532437 + ], + [ + 38015865, + 25678598 + ], + [ + 54536675, + 33967340 + ], + [ + 80147426, + 29451481 + ], + [ + 67660038, + 43919477 + ], + [ + 17745591, + 69470226 + ], + [ + 8098760, + 90232093 + ], + [ + 70445365, + 21809717 + ], + [ + 18688209, + 39811509 + ], + [ + 57829071, + 52096868 + ], + [ + 50449328, + 46256167 + ], + [ + 46735387, + 38633698 + ], + [ + 50228272, + 36317734 + ], + [ + 26363488, + 43054413 + ], + [ + 82808265, + 6448311 + ], + [ + 53703772, + 32813982 + ], + [ + 85065513, + 73719910 + ], + [ + 22223572, + 34614717 + ], + [ + 36320463, + 25418531 + ], + [ + 17515596, + 99582754 + ], + [ + 44947089, + 29369294 + ], + [ + 61095764, + 96774236 + ], + [ + 52317696, + 6970138 + ], + [ + 86224594, + 83469224 + ], + [ + 4053907, + 34914809 + ], + [ + 59767586, + 13462763 + ], + [ + 92270227, + 1494875 + ], + [ + 31026641, + 27944852 + ], + [ + 77090554, + 41207500 + ], + [ + 2759559, + 31990832 + ], + [ + 68098719, + 92747683 + ], + [ + 36162248, + 47392635 + ], + [ + 83887498, + 86694480 + ], + [ + 92035576, + 21367533 + ], + [ + 24511386, + 7501871 + ], + [ + 92544838, + 38219390 + ], + [ + 4630797, + 71845497 + ], + [ + 81443121, + 88502086 + ], + [ + 97518204, + 64770134 + ], + [ + 47731824, + 18986718 + ], + [ + 79973781, + 99730342 + ], + [ + 29597298, + 25942351 + ], + [ + 51828845, + 10893393 + ], + [ + 47693030, + 62448340 + ], + [ + 2394235, + 55547708 + ], + [ + 5970671, + 40576052 + ], + [ + 9419317, + 59305132 + ], + [ + 84156094, + 38044669 + ], + [ + 1336466, + 75801503 + ], + [ + 67677128, + 55600380 + ], + [ + 56531950, + 50343930 + ], + [ + 93634152, + 55658317 + ], + [ + 86152368, + 73493709 + ], + [ + 34479226, + 74706393 + ], + [ + 71592554, + 79493141 + ], + [ + 83675322, + 718285 + ], + [ + 31112407, + 74335189 + ], + [ + 79314086, + 16299757 + ], + [ + 5892308, + 13152119 + ], + [ + 54216640, + 56552894 + ], + [ + 88481636, + 54387462 + ], + [ + 56888461, + 18148320 + ], + [ + 63365009, + 57765361 + ], + [ + 57899328, + 89257058 + ], + [ + 46797645, + 32863948 + ], + [ + 79033444, + 11830903 + ], + [ + 86157295, + 16796241 + ], + [ + 95393986, + 8251710 + ], + [ + 72495950, + 16659192 + ], + [ + 98388624, + 89993260 + ], + [ + 71349855, + 70765088 + ], + [ + 50901507, + 46432320 + ], + [ + 67595430, + 79575194 + ], + [ + 84505194, + 51265415 + ], + [ + 28061609, + 35127397 + ], + [ + 17286614, + 24395565 + ], + [ + 8546006, + 70100512 + ], + [ + 88331407, + 81985739 + ], + [ + 82165767, + 58415150 + ], + [ + 89709520, + 96577761 + ], + [ + 75236546, + 18068698 + ], + [ + 22821611, + 808491 + ], + [ + 30900717, + 43601638 + ], + [ + 65864073, + 54533805 + ], + [ + 33776047, + 11414659 + ], + [ + 14600682, + 53721831 + ], + [ + 52474304, + 47629038 + ], + [ + 53629736, + 2344263 + ], + [ + 3281881, + 98727391 + ], + [ + 12870967, + 11067614 + ], + [ + 33349171, + 13568354 + ], + [ + 75781380, + 24053484 + ], + [ + 8838865, + 78445439 + ], + [ + 93371457, + 42049029 + ], + [ + 60173641, + 80397362 + ], + [ + 45688816, + 76643612 + ], + [ + 49024045, + 73907537 + ], + [ + 20008351, + 22518206 + ], + [ + 75743164, + 35412682 + ], + [ + 44393789, + 33394210 + ], + [ + 46147642, + 69767084 + ], + [ + 17254375, + 87576339 + ], + [ + 22580929, + 33123082 + ], + [ + 99455233, + 97858593 + ], + [ + 99991910, + 55932201 + ], + [ + 29114110, + 72944024 + ], + [ + 9695654, + 73736503 + ], + [ + 65057381, + 92743018 + ], + [ + 99792417, + 92930101 + ], + [ + 17278617, + 44638222 + ], + [ + 56779971, + 36553076 + ], + [ + 2893795, + 73516798 + ], + [ + 64618562, + 8039264 + ], + [ + 38344545, + 10615329 + ], + [ + 2998081, + 35770736 + ], + [ + 72227338, + 65367227 + ], + [ + 79949947, + 65334515 + ], + [ + 81750611, + 91744383 + ], + [ + 39005156, + 55989049 + ], + [ + 29006707, + 27042045 + ], + [ + 29049741, + 57037011 + ], + [ + 19962235, + 4834206 + ], + [ + 78054550, + 14947105 + ], + [ + 31337901, + 46754310 + ], + [ + 47812780, + 10293354 + ], + [ + 31185995, + 25664311 + ], + [ + 10621069, + 91225419 + ], + [ + 65224708, + 13664097 + ], + [ + 10445081, + 6847012 + ], + [ + 92111119, + 6911476 + ], + [ + 49441521, + 53401595 + ], + [ + 83352191, + 21167189 + ], + [ + 35393779, + 43601511 + ], + [ + 93099079, + 10056654 + ], + [ + 24266621, + 25518524 + ], + [ + 5856061, + 19749122 + ], + [ + 42294194, + 90508078 + ], + [ + 69465922, + 22828305 + ], + [ + 84944284, + 31391845 + ], + [ + 87748488, + 10721305 + ], + [ + 88910192, + 79124328 + ], + [ + 44395065, + 26735964 + ], + [ + 3800956, + 7357717 + ], + [ + 11444222, + 75418849 + ], + [ + 9214046, + 50480727 + ], + [ + 5019985, + 18629923 + ], + [ + 11563300, + 59951386 + ], + [ + 38510409, + 38661357 + ], + [ + 58988302, + 7587022 + ], + [ + 72730286, + 5141544 + ], + [ + 41769030, + 75588896 + ], + [ + 88417425, + 49931632 + ], + [ + 85885027, + 16522916 + ], + [ + 68101260, + 52033791 + ], + [ + 26672636, + 23453413 + ], + [ + 66261655, + 14079033 + ], + [ + 67986806, + 2352114 + ], + [ + 10411159, + 10386378 + ], + [ + 19790997, + 39312431 + ], + [ + 57247899, + 18025672 + ], + [ + 14652909, + 47378424 + ], + [ + 6719419, + 30007531 + ], + [ + 76410678, + 36606778 + ], + [ + 46017265, + 92607340 + ], + [ + 9180870, + 84832123 + ], + [ + 13683370, + 69953060 + ], + [ + 84132210, + 51862383 + ], + [ + 5086633, + 46147159 + ], + [ + 78896454, + 56713637 + ], + [ + 19801491, + 77327811 + ], + [ + 99505009, + 17433458 + ], + [ + 31818269, + 20422524 + ], + [ + 15929231, + 25304290 + ], + [ + 18632378, + 55699661 + ], + [ + 36524068, + 17946226 + ], + [ + 29033929, + 62526723 + ], + [ + 10684382, + 29884926 + ], + [ + 44074419, + 24611102 + ], + [ + 67006580, + 45407505 + ], + [ + 94869467, + 85523940 + ], + [ + 41788563, + 64677262 + ], + [ + 80821889, + 69946579 + ], + [ + 51580266, + 96542612 + ], + [ + 61027259, + 93092421 + ], + [ + 7117878, + 58721029 + ], + [ + 62693045, + 13609800 + ], + [ + 37574298, + 41360846 + ], + [ + 37576102, + 30439184 + ], + [ + 69309206, + 65094760 + ], + [ + 59468729, + 16904945 + ], + [ + 79222577, + 76701099 + ], + [ + 42450104, + 10878025 + ], + [ + 65355351, + 69322531 + ], + [ + 96510893, + 30659679 + ], + [ + 26825123, + 67255782 + ], + [ + 64658271, + 27069069 + ], + [ + 43295131, + 43322784 + ], + [ + 40475532, + 27176197 + ], + [ + 9451636, + 23375565 + ], + [ + 17003586, + 21207602 + ], + [ + 94261826, + 24183598 + ], + [ + 34351453, + 46927196 + ], + [ + 99550940, + 97554783 + ], + [ + 398865, + 86449331 + ], + [ + 43939490, + 9748779 + ], + [ + 46425607, + 67806417 + ], + [ + 92963707, + 96034680 + ], + [ + 67520632, + 67495979 + ], + [ + 26740268, + 3729148 + ], + [ + 50162389, + 30379325 + ], + [ + 6035773, + 21981272 + ], + [ + 40591446, + 69476688 + ], + [ + 95852038, + 70531 + ], + [ + 68621801, + 94870270 + ], + [ + 40898273, + 40983280 + ], + [ + 70763407, + 49044665 + ], + [ + 4594958, + 44075509 + ], + [ + 66330340, + 25090305 + ], + [ + 67032482, + 96216226 + ], + [ + 63157219, + 79770375 + ], + [ + 65611146, + 65306941 + ], + [ + 24890307, + 18575537 + ], + [ + 4012432, + 51991430 + ], + [ + 35668302, + 36912352 + ], + [ + 41029574, + 74432523 + ], + [ + 82602155, + 69099785 + ], + [ + 18304524, + 66006932 + ], + [ + 1490166, + 89356473 + ], + [ + 47848658, + 12670253 + ], + [ + 7802697, + 28976869 + ], + [ + 3549552, + 21569579 + ], + [ + 56031341, + 92103014 + ], + [ + 72952953, + 44722005 + ], + [ + 76966388, + 91990020 + ], + [ + 29699176, + 38665501 + ], + [ + 44088540, + 80582685 + ], + [ + 90887151, + 80316663 + ], + [ + 59490348, + 73627818 + ], + [ + 92174100, + 94798287 + ], + [ + 53824589, + 27160392 + ], + [ + 55383427, + 53499577 + ], + [ + 57595790, + 51835169 + ], + [ + 21577074, + 10092794 + ], + [ + 21153924, + 75400797 + ], + [ + 55962911, + 54980792 + ], + [ + 66778524, + 97476509 + ], + [ + 29365580, + 75544658 + ], + [ + 23100020, + 88476588 + ], + [ + 85768321, + 99414985 + ], + [ + 29568159, + 43208428 + ], + [ + 95705712, + 46939003 + ], + [ + 44810666, + 15572746 + ], + [ + 34249394, + 63793123 + ], + [ + 72982836, + 9800148 + ], + [ + 11513912, + 1285794 + ], + [ + 24845032, + 73713157 + ], + [ + 78377755, + 94348363 + ], + [ + 68823600, + 8701433 + ], + [ + 68081435, + 62282229 + ], + [ + 14437807, + 23805106 + ], + [ + 75089084, + 9406214 + ], + [ + 41586524, + 57068803 + ], + [ + 45574640, + 95013152 + ], + [ + 45215070, + 61808385 + ], + [ + 19415254, + 80374112 + ], + [ + 26285756, + 64612565 + ], + [ + 45387264, + 96923727 + ], + [ + 90209307, + 46304825 + ], + [ + 1773613, + 84639534 + ], + [ + 39258865, + 8847666 + ], + [ + 79070464, + 908988 + ], + [ + 47200388, + 30773267 + ], + [ + 84936189, + 44010675 + ], + [ + 87512957, + 63751254 + ], + [ + 21014261, + 30938657 + ], + [ + 83719367, + 24325756 + ], + [ + 3544234, + 75922210 + ], + [ + 59329435, + 78285687 + ], + [ + 23161823, + 32134731 + ], + [ + 69510402, + 8679350 + ], + [ + 78591136, + 80295176 + ], + [ + 59272142, + 68100124 + ], + [ + 4055203, + 5676350 + ], + [ + 39255713, + 94245792 + ], + [ + 51718749, + 59205693 + ], + [ + 55345898, + 10669560 + ], + [ + 1336682, + 39625568 + ], + [ + 13826017, + 9420262 + ], + [ + 29285126, + 13411555 + ], + [ + 87288242, + 2611670 + ], + [ + 29205981, + 47606658 + ], + [ + 44114900, + 48444431 + ], + [ + 47532100, + 6601215 + ], + [ + 21625744, + 62998746 + ], + [ + 78187169, + 79021172 + ], + [ + 19217544, + 93477525 + ], + [ + 28545799, + 1326024 + ], + [ + 72148189, + 42852928 + ], + [ + 56477118, + 71483458 + ], + [ + 70251734, + 4108235 + ], + [ + 57773265, + 13358669 + ], + [ + 29286205, + 82914890 + ], + [ + 27709564, + 53300667 + ], + [ + 51159944, + 79260256 + ], + [ + 9356894, + 15102079 + ], + [ + 59308110, + 28346729 + ], + [ + 24956515, + 87535206 + ], + [ + 36637554, + 26999502 + ], + [ + 15841207, + 89188124 + ], + [ + 82118116, + 92968580 + ], + [ + 79410152, + 28919625 + ], + [ + 54121281, + 89942068 + ], + [ + 71088798, + 23524805 + ], + [ + 84036830, + 19235185 + ], + [ + 78250269, + 52637230 + ], + [ + 76493613, + 4401139 + ], + [ + 60881598, + 64403377 + ], + [ + 28431608, + 38966883 + ], + [ + 7043887, + 27186894 + ], + [ + 20378178, + 71894435 + ], + [ + 55679210, + 13009280 + ], + [ + 72504470, + 48375483 + ], + [ + 24585209, + 69764957 + ], + [ + 26562699, + 43459806 + ], + [ + 68421088, + 86631676 + ], + [ + 95970479, + 5074587 + ], + [ + 55389077, + 50119862 + ], + [ + 76361015, + 44031898 + ], + [ + 36847244, + 15210435 + ], + [ + 48880640, + 8207186 + ], + [ + 16075803, + 95181984 + ], + [ + 65217054, + 38441969 + ], + [ + 5700627, + 70922743 + ], + [ + 89276863, + 32743650 + ], + [ + 7202183, + 82810431 + ], + [ + 9776610, + 20363955 + ], + [ + 11412034, + 16436601 + ], + [ + 9912745, + 80466468 + ], + [ + 75506054, + 90955059 + ], + [ + 4382275, + 19921416 + ], + [ + 62978585, + 13937620 + ], + [ + 61817752, + 87349026 + ], + [ + 56981809, + 26691322 + ], + [ + 52910318, + 88312604 + ], + [ + 7589215, + 12374459 + ], + [ + 81058871, + 9158860 + ], + [ + 95164503, + 92121425 + ], + [ + 49388445, + 219665 + ], + [ + 53608879, + 45720752 + ], + [ + 34513524, + 24643220 + ], + [ + 83517266, + 63011908 + ], + [ + 18575808, + 8846002 + ], + [ + 20026822, + 76967320 + ], + [ + 54571378, + 62451856 + ], + [ + 63129741, + 77927973 + ], + [ + 68756, + 44432355 + ], + [ + 53699112, + 65875545 + ], + [ + 57745763, + 75282106 + ], + [ + 30253639, + 13866460 + ], + [ + 95069697, + 72054683 + ], + [ + 38222553, + 6729561 + ], + [ + 10064273, + 27092339 + ], + [ + 99932305, + 5371211 + ], + [ + 32459517, + 43078695 + ], + [ + 54781838, + 68378071 + ], + [ + 9507097, + 36017672 + ], + [ + 25919348, + 61978885 + ], + [ + 20383410, + 40731768 + ], + [ + 60060973, + 4979250 + ], + [ + 41490550, + 58725498 + ], + [ + 40662451, + 67260716 + ], + [ + 8791388, + 69512037 + ], + [ + 6086773, + 90328049 + ], + [ + 97197929, + 12903239 + ], + [ + 19520623, + 76235309 + ], + [ + 60828309, + 80030401 + ], + [ + 53083683, + 68335671 + ], + [ + 69905726, + 34120941 + ], + [ + 80955985, + 87734329 + ], + [ + 16609586, + 11958321 + ], + [ + 3294464, + 25478484 + ], + [ + 9121124, + 89752201 + ], + [ + 19610286, + 26469876 + ], + [ + 85012707, + 37832028 + ], + [ + 20215035, + 61011053 + ], + [ + 59718732, + 39201598 + ], + [ + 92896142, + 24406421 + ], + [ + 59396828, + 81479217 + ], + [ + 89932484, + 40059747 + ], + [ + 70208920, + 78372631 + ], + [ + 76917981, + 82125559 + ], + [ + 16212481, + 72752680 + ], + [ + 45708508, + 96689319 + ], + [ + 84596814, + 8616402 + ], + [ + 75550515, + 20534624 + ], + [ + 63896222, + 9739973 + ], + [ + 34659307, + 81522986 + ], + [ + 13317440, + 9968 + ], + [ + 91336049, + 90474254 + ], + [ + 45078026, + 24265628 + ], + [ + 3736347, + 43541072 + ], + [ + 35271182, + 93444343 + ], + [ + 60679409, + 67196497 + ], + [ + 73865645, + 68902996 + ], + [ + 4832581, + 74741774 + ], + [ + 16893493, + 34351157 + ], + [ + 46326262, + 66343948 + ], + [ + 32661973, + 32257694 + ], + [ + 66051892, + 78997294 + ], + [ + 54641261, + 89366946 + ], + [ + 78856480, + 52827855 + ], + [ + 61555084, + 75089772 + ], + [ + 12299844, + 65542267 + ], + [ + 94305780, + 44469859 + ], + [ + 8421318, + 50660555 + ], + [ + 61393013, + 38766417 + ], + [ + 10837867, + 73196426 + ], + [ + 64620376, + 5605740 + ], + [ + 82155737, + 88545984 + ], + [ + 58234593, + 5006275 + ], + [ + 49773426, + 59074802 + ], + [ + 48525151, + 30341446 + ], + [ + 44113853, + 15306846 + ], + [ + 7767357, + 64327661 + ], + [ + 34862534, + 31099272 + ], + [ + 13086681, + 55856031 + ], + [ + 14905870, + 90781922 + ], + [ + 27108443, + 89618518 + ], + [ + 70151884, + 53917267 + ], + [ + 38807695, + 34764965 + ], + [ + 58466763, + 91830319 + ], + [ + 5434886, + 33875077 + ], + [ + 72149050, + 29754379 + ], + [ + 37696258, + 20819832 + ], + [ + 76363658, + 71372397 + ], + [ + 93397285, + 16957519 + ], + [ + 14084925, + 67958594 + ], + [ + 11200351, + 749817 + ], + [ + 19332780, + 92249134 + ], + [ + 95952889, + 38268451 + ], + [ + 70724570, + 72881492 + ], + [ + 82337152, + 4756130 + ], + [ + 48238733, + 5376344 + ], + [ + 46321129, + 47076870 + ], + [ + 74764553, + 12706800 + ], + [ + 50033111, + 43634988 + ], + [ + 47212302, + 33863357 + ], + [ + 89294680, + 89017572 + ], + [ + 33944665, + 95537047 + ], + [ + 99253459, + 21661679 + ], + [ + 86657200, + 82877895 + ], + [ + 75212516, + 41979289 + ], + [ + 26244481, + 97343207 + ], + [ + 48672542, + 25079894 + ], + [ + 23564232, + 56546345 + ], + [ + 44339702, + 24290387 + ], + [ + 55668184, + 37685168 + ], + [ + 51676477, + 42583332 + ], + [ + 89238723, + 92488435 + ], + [ + 6018936, + 9859574 + ], + [ + 93474751, + 36266400 + ], + [ + 57582064, + 10535331 + ], + [ + 90234838, + 3615123 + ], + [ + 84423953, + 6642854 + ], + [ + 68270993, + 87549783 + ], + [ + 15081026, + 2037462 + ], + [ + 51760215, + 80849439 + ], + [ + 1440705, + 84631657 + ], + [ + 6804002, + 71493919 + ], + [ + 69634244, + 11651517 + ], + [ + 87332870, + 39186146 + ], + [ + 88924370, + 16156562 + ], + [ + 39014653, + 94022445 + ], + [ + 41914997, + 43689497 + ], + [ + 82226394, + 53599445 + ], + [ + 85206551, + 62148572 + ], + [ + 54150980, + 5532760 + ], + [ + 6580521, + 74944316 + ], + [ + 72525777, + 71869205 + ], + [ + 57095243, + 86826503 + ], + [ + 54818820, + 28582339 + ], + [ + 81139329, + 76280942 + ], + [ + 26385164, + 9934751 + ], + [ + 7637074, + 12249450 + ], + [ + 99842406, + 15841804 + ], + [ + 36756340, + 66748460 + ], + [ + 21787028, + 29086974 + ], + [ + 11904824, + 16456457 + ], + [ + 58198357, + 19014808 + ], + [ + 29852719, + 3820920 + ], + [ + 81720744, + 93045193 + ], + [ + 42528022, + 15411709 + ], + [ + 14841255, + 26506751 + ], + [ + 96796340, + 48105972 + ], + [ + 21378508, + 79994895 + ], + [ + 91324935, + 9259322 + ], + [ + 41988754, + 91627430 + ], + [ + 28224029, + 39428627 + ], + [ + 64059638, + 11644036 + ], + [ + 50104758, + 349582 + ], + [ + 33203030, + 44575081 + ], + [ + 48712425, + 58255019 + ], + [ + 1791002, + 13528825 + ], + [ + 49216997, + 70812532 + ], + [ + 1337558, + 40086382 + ], + [ + 25727177, + 2783284 + ], + [ + 46142767, + 48700552 + ], + [ + 50009236, + 15720039 + ], + [ + 10211575, + 62403985 + ], + [ + 46800049, + 78749126 + ], + [ + 50200403, + 87097806 + ], + [ + 244720, + 35313389 + ], + [ + 31237884, + 69318111 + ], + [ + 79138599, + 47602166 + ], + [ + 26266181, + 48217292 + ], + [ + 77680595, + 17263749 + ], + [ + 25222475, + 32259937 + ], + [ + 15145407, + 64700239 + ], + [ + 33551344, + 40626046 + ], + [ + 61410994, + 10632888 + ], + [ + 96244339, + 82026744 + ], + [ + 32352212, + 14131868 + ], + [ + 90884559, + 32544421 + ], + [ + 84248519, + 78891628 + ], + [ + 86601812, + 51290755 + ], + [ + 63341211, + 45743093 + ], + [ + 5427136, + 15553493 + ], + [ + 72055145, + 28546188 + ], + [ + 88188252, + 38014633 + ], + [ + 70316511, + 55131 + ], + [ + 65942904, + 88272307 + ], + [ + 75997536, + 31423134 + ], + [ + 74912228, + 47176228 + ], + [ + 92340795, + 50071241 + ], + [ + 66531278, + 51719199 + ], + [ + 73426929, + 35437520 + ], + [ + 30388561, + 33882687 + ], + [ + 45345567, + 19754833 + ], + [ + 65631188, + 38418929 + ], + [ + 4623424, + 73660349 + ], + [ + 30792022, + 27581804 + ], + [ + 57273113, + 91494241 + ], + [ + 57710627, + 63835923 + ], + [ + 46121539, + 83161352 + ], + [ + 91311141, + 60765514 + ], + [ + 98839241, + 98756697 + ], + [ + 65899344, + 39840824 + ], + [ + 23439560, + 5793714 + ], + [ + 11330278, + 45026543 + ], + [ + 21551798, + 63685054 + ], + [ + 77692973, + 75190829 + ], + [ + 23991836, + 15644272 + ], + [ + 19845269, + 31863657 + ], + [ + 86491196, + 35665802 + ], + [ + 34691240, + 64281099 + ], + [ + 4162765, + 76416281 + ], + [ + 82982747, + 9428272 + ], + [ + 28223111, + 53124315 + ], + [ + 59743531, + 98043374 + ], + [ + 67302552, + 73579365 + ], + [ + 19998941, + 66776498 + ], + [ + 1435303, + 84603915 + ], + [ + 78420001, + 6218335 + ], + [ + 5817772, + 5278570 + ], + [ + 37850162, + 2552643 + ], + [ + 22287393, + 21370423 + ], + [ + 57333777, + 30013407 + ], + [ + 65051197, + 26946656 + ], + [ + 44779179, + 14466926 + ], + [ + 93064783, + 38966998 + ], + [ + 19455560, + 33036944 + ], + [ + 87198865, + 17871668 + ], + [ + 49430034, + 39400720 + ], + [ + 33199634, + 43598801 + ], + [ + 94131871, + 92925263 + ], + [ + 38431229, + 25938675 + ], + [ + 26572277, + 46765589 + ], + [ + 66941203, + 54248452 + ], + [ + 64716363, + 39386259 + ], + [ + 70496169, + 188234 + ], + [ + 68865083, + 98408118 + ], + [ + 68733199, + 25356439 + ], + [ + 97562051, + 94971322 + ], + [ + 80629031, + 60180408 + ], + [ + 64904691, + 44188632 + ], + [ + 89816597, + 44861200 + ], + [ + 69433217, + 57731617 + ], + [ + 19505499, + 16656714 + ], + [ + 5557597, + 91517318 + ], + [ + 56194773, + 81250562 + ], + [ + 76318636, + 25689072 + ], + [ + 755863, + 25286253 + ], + [ + 31680608, + 46063689 + ], + [ + 25154649, + 86000021 + ], + [ + 90059655, + 93446458 + ], + [ + 81196291, + 3065856 + ], + [ + 1615808, + 89437694 + ], + [ + 90971297, + 65207753 + ], + [ + 89880223, + 93612250 + ], + [ + 51616389, + 98809387 + ], + [ + 18101323, + 23409739 + ], + [ + 82944318, + 83247602 + ], + [ + 4938164, + 97123960 + ], + [ + 60053842, + 44968364 + ], + [ + 89665071, + 29416323 + ], + [ + 6101680, + 2706711 + ], + [ + 37027712, + 94650733 + ], + [ + 47104186, + 48367121 + ], + [ + 41533933, + 37749443 + ], + [ + 11762201, + 36394413 + ], + [ + 7358461, + 26442549 + ], + [ + 37126190, + 31340105 + ], + [ + 27971706, + 51043415 + ], + [ + 8329249, + 1845584 + ], + [ + 2925474, + 68131010 + ], + [ + 94674556, + 16791968 + ], + [ + 35038712, + 76214257 + ], + [ + 87213462, + 60672609 + ], + [ + 83536596, + 37668471 + ], + [ + 62856336, + 33959968 + ], + [ + 81895018, + 2158809 + ], + [ + 13005023, + 25796 + ], + [ + 35444344, + 74131392 + ], + [ + 98653402, + 79766865 + ], + [ + 48955051, + 60608667 + ], + [ + 30498499, + 65781243 + ], + [ + 57771574, + 66621417 + ], + [ + 13000909, + 97557783 + ], + [ + 4726366, + 58473201 + ], + [ + 64062439, + 90708870 + ], + [ + 18114364, + 60397430 + ], + [ + 39397857, + 95450332 + ], + [ + 20315585, + 42192416 + ], + [ + 33728856, + 12367790 + ], + [ + 38136748, + 60671321 + ], + [ + 75320670, + 67564631 + ], + [ + 96124407, + 7077488 + ], + [ + 19913378, + 16224855 + ], + [ + 14355104, + 97330695 + ], + [ + 38513766, + 48852445 + ], + [ + 78265092, + 60514184 + ], + [ + 59035980, + 6315514 + ], + [ + 63930441, + 60147543 + ], + [ + 84817574, + 96911509 + ], + [ + 9330005, + 30532303 + ], + [ + 91327723, + 83889202 + ], + [ + 12828573, + 19529470 + ], + [ + 42731902, + 49212739 + ], + [ + 45278016, + 2926480 + ], + [ + 79376391, + 34006244 + ], + [ + 66842011, + 99971555 + ], + [ + 45325679, + 34972246 + ], + [ + 4241324, + 42208397 + ], + [ + 6071149, + 12716703 + ], + [ + 28805888, + 12722853 + ], + [ + 65927693, + 61364979 + ], + [ + 68277789, + 30341105 + ], + [ + 75684474, + 41400246 + ], + [ + 67086286, + 55308930 + ], + [ + 93369095, + 81746441 + ], + [ + 30250247, + 80458315 + ], + [ + 45939776, + 94970673 + ], + [ + 150053, + 53111083 + ], + [ + 81350349, + 19810638 + ], + [ + 92404601, + 67087289 + ], + [ + 93823791, + 79852152 + ], + [ + 41725231, + 8876672 + ], + [ + 25500108, + 98323585 + ], + [ + 48779536, + 66187058 + ], + [ + 80664950, + 88000736 + ], + [ + 1307584, + 34974748 + ], + [ + 45412191, + 69951484 + ], + [ + 73111710, + 86135748 + ], + [ + 75863631, + 87642781 + ], + [ + 27814618, + 96135101 + ], + [ + 1059013, + 19751726 + ], + [ + 30827569, + 7713092 + ], + [ + 84601384, + 4339286 + ], + [ + 18940548, + 99160453 + ], + [ + 94248674, + 20004651 + ], + [ + 56823648, + 51781316 + ], + [ + 2266360, + 15294732 + ], + [ + 48288307, + 14608732 + ], + [ + 47361205, + 65938318 + ], + [ + 6782950, + 37142749 + ], + [ + 33065503, + 58420642 + ], + [ + 92882070, + 78242952 + ], + [ + 69963787, + 51974590 + ], + [ + 22258494, + 63971688 + ], + [ + 83126276, + 39256727 + ], + [ + 29261268, + 51597968 + ], + [ + 12995598, + 81990285 + ], + [ + 35482220, + 57280763 + ], + [ + 26555244, + 28892155 + ], + [ + 91183326, + 46651767 + ], + [ + 1041282, + 51520034 + ], + [ + 36623247, + 26059526 + ], + [ + 56845416, + 25156530 + ], + [ + 10764250, + 56905912 + ], + [ + 62492868, + 60927054 + ], + [ + 77900524, + 13503986 + ], + [ + 22424953, + 41681508 + ], + [ + 26802242, + 78794828 + ], + [ + 3968149, + 34652202 + ], + [ + 50554552, + 51558623 + ], + [ + 83763512, + 79386957 + ], + [ + 71370359, + 72359201 + ], + [ + 29431053, + 26395794 + ], + [ + 95449696, + 19744583 + ], + [ + 58486962, + 86738427 + ], + [ + 16409178, + 80169574 + ], + [ + 46500434, + 3964662 + ], + [ + 37728200, + 36059648 + ], + [ + 85165104, + 16968855 + ], + [ + 59160700, + 44838428 + ], + [ + 69020738, + 36908308 + ], + [ + 22850380, + 64514567 + ], + [ + 25011942, + 9901698 + ], + [ + 82526395, + 97646466 + ], + [ + 36099524, + 45238901 + ], + [ + 8770657, + 46695859 + ], + [ + 5317282, + 32046026 + ], + [ + 71569150, + 2962217 + ], + [ + 12380650, + 97977149 + ], + [ + 62502872, + 88512569 + ], + [ + 52896765, + 69891642 + ], + [ + 55805899, + 61882376 + ], + [ + 23725200, + 59159575 + ], + [ + 79574201, + 10012238 + ], + [ + 70971101, + 52246625 + ], + [ + 80830614, + 2389084 + ], + [ + 88747593, + 84243114 + ], + [ + 52955757, + 1772326 + ], + [ + 31869276, + 46537731 + ], + [ + 21580099, + 25629361 + ], + [ + 77448581, + 58706223 + ], + [ + 80464308, + 38708338 + ], + [ + 97104301, + 55576598 + ], + [ + 67710888, + 15605960 + ], + [ + 9118666, + 94691979 + ], + [ + 17980097, + 46151975 + ], + [ + 76130828, + 31636853 + ], + [ + 56556074, + 8841229 + ], + [ + 26294362, + 53550462 + ], + [ + 78811955, + 15890547 + ], + [ + 76926510, + 9016828 + ], + [ + 84088848, + 54048367 + ], + [ + 80321685, + 7181073 + ], + [ + 48172562, + 80299078 + ], + [ + 38015221, + 40423704 + ], + [ + 4970643, + 3127894 + ], + [ + 36479430, + 5416017 + ], + [ + 2971239, + 66384492 + ], + [ + 86286568, + 68131141 + ], + [ + 66948047, + 84505658 + ], + [ + 80618050, + 31570257 + ], + [ + 24737064, + 62815832 + ], + [ + 99729551, + 35186171 + ], + [ + 39596594, + 277723 + ], + [ + 55881948, + 2036461 + ], + [ + 4350093, + 68491219 + ], + [ + 81005756, + 1443186 + ], + [ + 62928765, + 37960451 + ], + [ + 70295007, + 18643180 + ], + [ + 29940702, + 28272318 + ], + [ + 12315525, + 64687129 + ], + [ + 10823770, + 29981823 + ], + [ + 34945028, + 93570353 + ], + [ + 50284154, + 60573611 + ], + [ + 48577085, + 59348415 + ], + [ + 86443173, + 73060836 + ], + [ + 96925536, + 63006414 + ], + [ + 28653043, + 19180030 + ], + [ + 98971494, + 84177142 + ], + [ + 26486572, + 70111788 + ], + [ + 52764, + 79958048 + ], + [ + 1853520, + 14325385 + ], + [ + 2869607, + 2308824 + ], + [ + 10319621, + 80653797 + ], + [ + 36741563, + 12618307 + ], + [ + 53456088, + 93317007 + ], + [ + 52906045, + 35128097 + ], + [ + 23047684, + 19947895 + ], + [ + 17094077, + 75341005 + ], + [ + 86791177, + 13798246 + ], + [ + 93360431, + 83209639 + ], + [ + 75973053, + 280010 + ], + [ + 51989512, + 22949262 + ], + [ + 12382327, + 35174817 + ], + [ + 96702394, + 66789379 + ], + [ + 8978802, + 89600843 + ], + [ + 35814723, + 73939089 + ], + [ + 55015409, + 18054815 + ], + [ + 78508565, + 39776634 + ], + [ + 48377048, + 79153330 + ], + [ + 1283724, + 69290687 + ], + [ + 91502893, + 69118692 + ], + [ + 66517302, + 41011317 + ], + [ + 88713588, + 89569801 + ], + [ + 53227714, + 92828919 + ], + [ + 86824394, + 93576292 + ], + [ + 7495407, + 80755496 + ], + [ + 56711607, + 3216489 + ], + [ + 15365248, + 82467844 + ], + [ + 59485804, + 85981326 + ], + [ + 38850176, + 62670927 + ], + [ + 79162409, + 8940687 + ], + [ + 49592936, + 28322850 + ], + [ + 17561003, + 91043418 + ], + [ + 88390914, + 69594835 + ], + [ + 33904696, + 32250095 + ], + [ + 34542179, + 32534089 + ], + [ + 86170232, + 53903529 + ], + [ + 54418755, + 45737023 + ], + [ + 57942641, + 26499212 + ], + [ + 16267575, + 26122780 + ], + [ + 67519235, + 51041380 + ], + [ + 75422946, + 79184175 + ], + [ + 99073959, + 40055294 + ], + [ + 30437716, + 6442655 + ], + [ + 33660603, + 16921888 + ], + [ + 96794164, + 351847 + ], + [ + 45911020, + 59559022 + ], + [ + 49834871, + 95344813 + ], + [ + 64237529, + 40594617 + ], + [ + 3598512, + 80992473 + ], + [ + 63348525, + 73419352 + ], + [ + 6573749, + 98542494 + ], + [ + 62530400, + 84922034 + ], + [ + 23640360, + 68358909 + ], + [ + 56652312, + 37181628 + ], + [ + 37585216, + 68987746 + ], + [ + 24401780, + 78228714 + ], + [ + 62431213, + 90044855 + ], + [ + 22453427, + 85745066 + ], + [ + 47843094, + 81894405 + ], + [ + 85884458, + 84471124 + ], + [ + 30801701, + 58890940 + ], + [ + 98914536, + 54744221 + ], + [ + 83169473, + 72725876 + ], + [ + 75802219, + 97858921 + ], + [ + 3920400, + 34369767 + ], + [ + 66832847, + 80421696 + ], + [ + 23101222, + 31206118 + ], + [ + 80846069, + 14497677 + ], + [ + 76296955, + 17523449 + ], + [ + 38575881, + 1799573 + ], + [ + 48588182, + 15801792 + ], + [ + 87079696, + 81684982 + ], + [ + 94836692, + 21574248 + ], + [ + 25983426, + 46329526 + ], + [ + 47148408, + 9488312 + ], + [ + 2854024, + 91458610 + ], + [ + 34585440, + 19219550 + ], + [ + 65340212, + 85562324 + ], + [ + 48744541, + 39812365 + ], + [ + 6790399, + 77253377 + ], + [ + 23101139, + 19729510 + ], + [ + 39263538, + 11690945 + ], + [ + 27853952, + 80287546 + ], + [ + 86045266, + 78641368 + ], + [ + 82234889, + 66890736 + ], + [ + 47078908, + 37503265 + ], + [ + 79140801, + 34168769 + ], + [ + 20772481, + 70427950 + ], + [ + 94364593, + 28559717 + ], + [ + 87722806, + 84115510 + ], + [ + 49232476, + 33840657 + ], + [ + 90984928, + 51335771 + ], + [ + 75872726, + 66285007 + ], + [ + 69714036, + 86994957 + ], + [ + 19316469, + 66374011 + ], + [ + 36484067, + 2476388 + ], + [ + 46220200, + 7233123 + ], + [ + 17038345, + 85519002 + ], + [ + 39658835, + 77191085 + ], + [ + 39165107, + 60731815 + ], + [ + 43888829, + 43285271 + ], + [ + 21106881, + 65388905 + ], + [ + 28379544, + 29818678 + ], + [ + 91558883, + 62009055 + ], + [ + 50166337, + 60883682 + ], + [ + 87893931, + 24197365 + ], + [ + 83834196, + 53385454 + ], + [ + 97631361, + 96299184 + ], + [ + 57920948, + 39728479 + ], + [ + 25335023, + 10011074 + ], + [ + 47074060, + 25382378 + ], + [ + 45968131, + 89807863 + ], + [ + 84149763, + 78924222 + ], + [ + 34760566, + 70044385 + ], + [ + 7407541, + 52096268 + ], + [ + 13087483, + 34305423 + ], + [ + 84518346, + 98347373 + ], + [ + 41191768, + 20120102 + ], + [ + 29103269, + 88818704 + ], + [ + 29245541, + 32488775 + ], + [ + 79859457, + 84692098 + ], + [ + 6179865, + 15823397 + ], + [ + 28324125, + 25298478 + ], + [ + 88998869, + 95001005 + ], + [ + 14995201, + 55846804 + ], + [ + 81067361, + 69276949 + ], + [ + 8388555, + 11124953 + ], + [ + 97902592, + 64025487 + ], + [ + 15298226, + 59428438 + ], + [ + 99624581, + 13936063 + ], + [ + 45421830, + 95605145 + ], + [ + 811010, + 76992543 + ], + [ + 75819022, + 74711513 + ], + [ + 22786115, + 14133028 + ], + [ + 85574377, + 39672570 + ], + [ + 38396437, + 6352137 + ], + [ + 55900396, + 85406323 + ], + [ + 61083853, + 82594841 + ], + [ + 42250597, + 10700840 + ], + [ + 19524212, + 68997604 + ], + [ + 31090130, + 67338814 + ], + [ + 7843841, + 96014213 + ], + [ + 10510513, + 40558426 + ], + [ + 76255732, + 86921172 + ], + [ + 20719092, + 365072 + ], + [ + 93565468, + 3261680 + ], + [ + 3548587, + 99553677 + ], + [ + 93505538, + 27849781 + ], + [ + 77152062, + 36514640 + ], + [ + 20881231, + 4323950 + ], + [ + 88972509, + 16727269 + ], + [ + 71006588, + 19639205 + ], + [ + 35736789, + 76409774 + ], + [ + 94594848, + 62469550 + ], + [ + 83687318, + 88807978 + ], + [ + 61611777, + 30485666 + ], + [ + 33141938, + 70421014 + ], + [ + 28028435, + 74767235 + ], + [ + 9288734, + 94048864 + ], + [ + 88478054, + 19910457 + ], + [ + 55445471, + 36137211 + ], + [ + 38438214, + 24331200 + ], + [ + 15759792, + 36387068 + ], + [ + 80570893, + 54369647 + ], + [ + 19284642, + 18633096 + ], + [ + 94842300, + 55425675 + ], + [ + 976656, + 67238510 + ], + [ + 35247386, + 48603762 + ], + [ + 28187392, + 84713789 + ], + [ + 31911913, + 2696082 + ], + [ + 33490450, + 89453994 + ], + [ + 61960344, + 90011267 + ], + [ + 13707229, + 30400992 + ], + [ + 43478553, + 89099802 + ], + [ + 46047139, + 86483811 + ], + [ + 73638775, + 53369670 + ], + [ + 46750650, + 99642291 + ], + [ + 45997039, + 91159764 + ], + [ + 40326026, + 47617447 + ], + [ + 67146488, + 27943870 + ], + [ + 43357380, + 68215415 + ], + [ + 82794779, + 27685602 + ], + [ + 18913438, + 41022497 + ], + [ + 86451675, + 74684677 + ], + [ + 46743513, + 79011288 + ], + [ + 65722050, + 85080587 + ], + [ + 92225623, + 93772174 + ], + [ + 44212321, + 55548895 + ], + [ + 53147509, + 36488130 + ], + [ + 53351533, + 89088650 + ], + [ + 3164999, + 39921867 + ], + [ + 77855249, + 4693935 + ], + [ + 73807530, + 34074789 + ], + [ + 81358529, + 21624310 + ], + [ + 55526607, + 19254397 + ], + [ + 46916243, + 3774420 + ], + [ + 43846787, + 11183748 + ], + [ + 22955051, + 76814739 + ], + [ + 11062962, + 54303566 + ], + [ + 4059297, + 53280704 + ], + [ + 89523857, + 97926939 + ], + [ + 16472204, + 78516351 + ], + [ + 82715703, + 20742830 + ], + [ + 48683008, + 58987200 + ], + [ + 28546953, + 81833030 + ], + [ + 43734998, + 84791900 + ], + [ + 96274760, + 49908733 + ], + [ + 90764234, + 88275856 + ], + [ + 57206266, + 22130617 + ], + [ + 48491738, + 81173722 + ], + [ + 55374524, + 75818087 + ], + [ + 30758358, + 61465037 + ], + [ + 29084776, + 37416429 + ], + [ + 37734355, + 35511180 + ], + [ + 63916456, + 1411585 + ], + [ + 74232259, + 43493071 + ], + [ + 13074516, + 45335314 + ], + [ + 8099736, + 52506490 + ], + [ + 58174446, + 75060596 + ], + [ + 11272241, + 65645397 + ], + [ + 33710215, + 78169713 + ], + [ + 55807992, + 27801040 + ], + [ + 65840933, + 81302682 + ], + [ + 44960236, + 94678188 + ], + [ + 72358523, + 44130006 + ], + [ + 30410492, + 21551064 + ], + [ + 54201550, + 47239700 + ], + [ + 56883688, + 27600087 + ], + [ + 59723911, + 32907256 + ], + [ + 53425643, + 39078757 + ], + [ + 84416834, + 23914776 + ], + [ + 9259341, + 46048824 + ], + [ + 99916777, + 83002129 + ], + [ + 79733094, + 94835328 + ], + [ + 4996662, + 90057028 + ], + [ + 88717506, + 29459995 + ], + [ + 95767536, + 28418711 + ], + [ + 43044291, + 61344211 + ], + [ + 75959190, + 92463986 + ], + [ + 2589436, + 76811401 + ], + [ + 48974320, + 35856304 + ], + [ + 66198969, + 8979818 + ], + [ + 53702763, + 52158907 + ], + [ + 50540087, + 58042839 + ], + [ + 59322009, + 12585130 + ], + [ + 17676668, + 97040206 + ], + [ + 67411913, + 26017350 + ], + [ + 65373016, + 29964185 + ], + [ + 21734883, + 56213608 + ], + [ + 67459270, + 90435175 + ], + [ + 41535773, + 42135002 + ], + [ + 98165725, + 36205730 + ], + [ + 69006683, + 36698545 + ], + [ + 91266043, + 64459257 + ], + [ + 46704834, + 78375547 + ], + [ + 44022700, + 53706010 + ], + [ + 60498888, + 23301605 + ], + [ + 19408809, + 59750929 + ], + [ + 96964742, + 16921564 + ], + [ + 8903221, + 6624943 + ], + [ + 83136454, + 43134263 + ], + [ + 93821470, + 40959406 + ], + [ + 96698727, + 97724736 + ], + [ + 48931698, + 55707776 + ], + [ + 22182099, + 1042657 + ], + [ + 1002723, + 80230374 + ], + [ + 6806632, + 49336164 + ], + [ + 67926974, + 12462493 + ], + [ + 26903154, + 78036330 + ], + [ + 11959395, + 26130920 + ], + [ + 57547514, + 92526393 + ], + [ + 68802552, + 82375284 + ], + [ + 98970097, + 48257586 + ], + [ + 34466637, + 89284213 + ], + [ + 14728349, + 55450808 + ], + [ + 9356436, + 69458719 + ], + [ + 53523003, + 26940700 + ], + [ + 81672316, + 67521862 + ], + [ + 88499872, + 26848155 + ], + [ + 71802240, + 62278499 + ], + [ + 40930566, + 57281981 + ], + [ + 91685281, + 46591006 + ], + [ + 55353829, + 90537557 + ], + [ + 81206031, + 85709539 + ], + [ + 80752167, + 92417554 + ], + [ + 57042820, + 45667150 + ], + [ + 62757244, + 59284495 + ], + [ + 13953635, + 43265927 + ], + [ + 42466804, + 53231260 + ], + [ + 44786116, + 34199076 + ], + [ + 61751071, + 75589341 + ], + [ + 65516156, + 34081925 + ], + [ + 56588790, + 16971022 + ], + [ + 26126087, + 15799403 + ], + [ + 15061493, + 55289314 + ], + [ + 20435159, + 65976179 + ], + [ + 43692552, + 53752700 + ], + [ + 68557924, + 69679411 + ], + [ + 12503637, + 65660904 + ], + [ + 7471799, + 62391256 + ], + [ + 40180861, + 55299991 + ], + [ + 34365153, + 83016543 + ], + [ + 77980648, + 88971131 + ], + [ + 59789605, + 88506284 + ], + [ + 74353493, + 11671743 + ], + [ + 25261120, + 58558785 + ], + [ + 22362065, + 84668563 + ], + [ + 34239636, + 33104568 + ], + [ + 19445880, + 9660769 + ], + [ + 21614233, + 37461628 + ], + [ + 37775322, + 57770913 + ], + [ + 28063238, + 45679955 + ], + [ + 6797391, + 77193828 + ], + [ + 42131181, + 93277327 + ], + [ + 24919891, + 24417074 + ], + [ + 73653968, + 92094755 + ], + [ + 52039159, + 40619980 + ], + [ + 67158491, + 70606894 + ], + [ + 41320453, + 41853201 + ], + [ + 31613658, + 26414491 + ], + [ + 28533080, + 69272695 + ], + [ + 39008587, + 19636555 + ], + [ + 992963, + 15821075 + ], + [ + 95710778, + 24165071 + ], + [ + 96632313, + 60453911 + ], + [ + 27175495, + 27131257 + ], + [ + 58097666, + 64553393 + ], + [ + 11520865, + 62138172 + ], + [ + 8012440, + 82822851 + ], + [ + 38179243, + 43036996 + ], + [ + 71691420, + 8925087 + ], + [ + 14477262, + 46346870 + ], + [ + 50022321, + 85708385 + ], + [ + 61370829, + 7427487 + ], + [ + 33281996, + 53799658 + ], + [ + 13335466, + 82556893 + ], + [ + 68689092, + 32908371 + ], + [ + 80779017, + 63768790 + ], + [ + 15784784, + 82157909 + ], + [ + 15403526, + 69875050 + ], + [ + 15961221, + 59372779 + ], + [ + 33412044, + 6094095 + ], + [ + 53658479, + 15517292 + ], + [ + 25225569, + 79957121 + ], + [ + 88616054, + 13675507 + ], + [ + 97528752, + 20999364 + ], + [ + 63371641, + 70048549 + ], + [ + 63366367, + 83506615 + ], + [ + 78565546, + 28136750 + ], + [ + 67645312, + 64664114 + ], + [ + 8118018, + 99102714 + ], + [ + 39851904, + 96430660 + ], + [ + 76065939, + 52910308 + ], + [ + 38552728, + 82703768 + ], + [ + 64982088, + 69939798 + ], + [ + 86930950, + 57538398 + ], + [ + 65020771, + 55993408 + ], + [ + 52058869, + 75793940 + ], + [ + 83986450, + 49057114 + ], + [ + 58125484, + 44631086 + ], + [ + 4813754, + 86080825 + ], + [ + 31319284, + 10758218 + ], + [ + 77689292, + 54044643 + ], + [ + 17317027, + 37790026 + ], + [ + 5557570, + 97549728 + ], + [ + 20790232, + 73731440 + ], + [ + 18846615, + 95293604 + ], + [ + 17027156, + 89677173 + ], + [ + 13451573, + 61036274 + ], + [ + 69757706, + 58987015 + ], + [ + 97545002, + 86067845 + ], + [ + 11497392, + 69557227 + ], + [ + 79395638, + 96816077 + ], + [ + 74139040, + 67787687 + ], + [ + 21966509, + 42784171 + ], + [ + 40443471, + 92535917 + ], + [ + 11267758, + 1656137 + ], + [ + 74600639, + 82455126 + ], + [ + 6868586, + 36677122 + ], + [ + 23670874, + 46153274 + ], + [ + 43453725, + 18880107 + ], + [ + 93088615, + 27486809 + ], + [ + 4976230, + 91438831 + ], + [ + 47846759, + 33373834 + ], + [ + 15449250, + 72741236 + ], + [ + 23614953, + 18007328 + ], + [ + 93987245, + 69171185 + ], + [ + 95160555, + 47147611 + ], + [ + 59741993, + 19168329 + ], + [ + 70778753, + 49056567 + ], + [ + 91007243, + 53932950 + ], + [ + 97427467, + 70386486 + ], + [ + 34399688, + 8798612 + ], + [ + 9045794, + 54483140 + ], + [ + 74343731, + 63438034 + ], + [ + 16225685, + 10752985 + ], + [ + 16683267, + 89990061 + ], + [ + 19461892, + 58923294 + ], + [ + 26242805, + 76138316 + ], + [ + 1146958, + 27456390 + ], + [ + 71542248, + 64039638 + ], + [ + 8897409, + 51340417 + ], + [ + 27522938, + 72170225 + ], + [ + 24587027, + 82889115 + ], + [ + 31609374, + 37755980 + ], + [ + 83172418, + 56181815 + ], + [ + 29769227, + 8695277 + ], + [ + 47377548, + 49301538 + ], + [ + 88939020, + 69063114 + ], + [ + 87235303, + 32458497 + ], + [ + 14325977, + 69005218 + ], + [ + 54171553, + 73906845 + ], + [ + 37687292, + 52639466 + ], + [ + 70823028, + 61773324 + ], + [ + 56702147, + 7629506 + ], + [ + 33682101, + 42960324 + ], + [ + 60290689, + 4451302 + ], + [ + 20483632, + 27230405 + ], + [ + 43241296, + 74732024 + ], + [ + 18462118, + 35476242 + ], + [ + 15275167, + 2185742 + ], + [ + 5795138, + 87652115 + ], + [ + 3133326, + 32158227 + ], + [ + 45580869, + 13913112 + ], + [ + 12890826, + 37687275 + ], + [ + 69096711, + 55504050 + ], + [ + 66687277, + 3577951 + ], + [ + 85864804, + 31537736 + ], + [ + 62975072, + 5572728 + ], + [ + 26002517, + 75923500 + ], + [ + 77753703, + 53460191 + ], + [ + 51981079, + 9656064 + ], + [ + 46394240, + 11711482 + ], + [ + 76336864, + 75653630 + ], + [ + 72572214, + 47374591 + ], + [ + 3815252, + 56541892 + ], + [ + 96415970, + 19362888 + ], + [ + 54820678, + 75640884 + ], + [ + 13459115, + 44459973 + ], + [ + 38224729, + 2587006 + ], + [ + 20503652, + 37779275 + ], + [ + 66555292, + 63589357 + ], + [ + 43292251, + 80698581 + ], + [ + 80244307, + 92903284 + ], + [ + 51196429, + 40461800 + ], + [ + 2359413, + 13960579 + ], + [ + 45449337, + 56762257 + ], + [ + 6255493, + 94133940 + ], + [ + 33318797, + 60694884 + ], + [ + 8252392, + 12539563 + ], + [ + 26158617, + 83534047 + ], + [ + 70533529, + 2140033 + ], + [ + 17752128, + 1664995 + ], + [ + 14767766, + 25507113 + ], + [ + 11265351, + 34371250 + ], + [ + 61799785, + 13037243 + ], + [ + 47113058, + 97668948 + ], + [ + 32701672, + 4230658 + ], + [ + 43807714, + 45294141 + ], + [ + 3751773, + 31554327 + ], + [ + 15791841, + 19784856 + ], + [ + 6367473, + 66452224 + ], + [ + 46654871, + 64601567 + ], + [ + 62217603, + 93265188 + ], + [ + 10912458, + 98606622 + ], + [ + 60215712, + 59709124 + ], + [ + 10904083, + 53846680 + ], + [ + 47040748, + 3464379 + ], + [ + 75125767, + 13993377 + ], + [ + 68580808, + 76680104 + ], + [ + 75385141, + 13936367 + ], + [ + 25834413, + 43112621 + ], + [ + 17697736, + 22496618 + ], + [ + 15462092, + 52148847 + ], + [ + 18859960, + 36350787 + ], + [ + 37571014, + 51594289 + ], + [ + 5647883, + 10284304 + ], + [ + 93544355, + 3753970 + ], + [ + 32349428, + 60858460 + ], + [ + 43866328, + 88316235 + ], + [ + 55205205, + 91062303 + ], + [ + 86846801, + 31904531 + ], + [ + 80712274, + 72251396 + ], + [ + 71930314, + 83691972 + ], + [ + 37871428, + 40270380 + ], + [ + 55111574, + 25618978 + ], + [ + 3694261, + 75275813 + ], + [ + 97491640, + 47791347 + ], + [ + 52329618, + 69476500 + ], + [ + 25265758, + 11943986 + ], + [ + 11909501, + 93117066 + ], + [ + 36020959, + 26479853 + ], + [ + 96971844, + 3880777 + ], + [ + 56100689, + 49347718 + ], + [ + 14066516, + 70026078 + ], + [ + 33103052, + 94437869 + ], + [ + 96486115, + 34998481 + ], + [ + 56495732, + 68157726 + ], + [ + 53170073, + 58459531 + ], + [ + 19445863, + 61975277 + ], + [ + 35948081, + 84195873 + ], + [ + 92461694, + 37205707 + ], + [ + 5673876, + 97477453 + ], + [ + 6118211, + 44761591 + ], + [ + 34291711, + 80128645 + ], + [ + 24501449, + 4381802 + ], + [ + 20868396, + 30162764 + ], + [ + 14364856, + 11717224 + ], + [ + 55876299, + 87959679 + ], + [ + 20430537, + 95336475 + ], + [ + 68341123, + 44598909 + ], + [ + 48330919, + 84614576 + ], + [ + 82928920, + 47346972 + ], + [ + 24875251, + 74996531 + ], + [ + 61506003, + 40579213 + ], + [ + 16836458, + 56145179 + ], + [ + 81824155, + 86375323 + ], + [ + 52347005, + 18101081 + ], + [ + 34623158, + 94806419 + ], + [ + 96226111, + 39552172 + ], + [ + 66156378, + 14751039 + ], + [ + 7396488, + 19425965 + ], + [ + 63530331, + 44409515 + ], + [ + 94023144, + 54614876 + ], + [ + 12436218, + 2664567 + ], + [ + 83358671, + 70088169 + ], + [ + 22037347, + 32410834 + ], + [ + 64121206, + 77455899 + ], + [ + 19572542, + 92432901 + ], + [ + 42730128, + 92096254 + ], + [ + 86980451, + 34952715 + ], + [ + 18066323, + 96591501 + ], + [ + 37871019, + 61752500 + ], + [ + 66993869, + 35803552 + ], + [ + 59032577, + 28812455 + ], + [ + 82259753, + 71195274 + ], + [ + 21143210, + 73068216 + ], + [ + 65783784, + 8144140 + ], + [ + 27805002, + 10506134 + ], + [ + 12627053, + 58840345 + ], + [ + 58853752, + 23549425 + ], + [ + 27230146, + 10485710 + ], + [ + 11079608, + 76179888 + ], + [ + 39849224, + 60531400 + ], + [ + 60667497, + 95365681 + ], + [ + 87730677, + 49777619 + ], + [ + 68373712, + 11649383 + ], + [ + 28242743, + 66647696 + ], + [ + 82826247, + 22049998 + ], + [ + 88827787, + 39638749 + ], + [ + 17876232, + 66175083 + ], + [ + 2930140, + 20405441 + ], + [ + 98651737, + 98798616 + ], + [ + 51683736, + 69696903 + ], + [ + 51886497, + 48377508 + ], + [ + 24611505, + 33557339 + ], + [ + 44424728, + 63841794 + ], + [ + 93033778, + 92910864 + ], + [ + 10851552, + 75067336 + ], + [ + 99847750, + 23311317 + ], + [ + 97236746, + 83612372 + ], + [ + 33004334, + 62040747 + ], + [ + 77691013, + 68237272 + ], + [ + 79326417, + 45281156 + ], + [ + 99977290, + 44182031 + ], + [ + 68740755, + 55991057 + ], + [ + 3042874, + 45199533 + ], + [ + 87586028, + 72247935 + ], + [ + 39392280, + 87045561 + ], + [ + 19088642, + 56154688 + ], + [ + 31144509, + 46125910 + ], + [ + 53159192, + 34751466 + ], + [ + 3407402, + 6959438 + ], + [ + 72102005, + 84359483 + ], + [ + 48958970, + 99404315 + ], + [ + 71031389, + 97742578 + ], + [ + 64220982, + 70230161 + ], + [ + 97460140, + 98843099 + ], + [ + 96423656, + 58061252 + ], + [ + 14895350, + 40585347 + ], + [ + 79505093, + 42869421 + ], + [ + 18618292, + 8558059 + ], + [ + 65649641, + 15857538 + ], + [ + 98108639, + 28969365 + ], + [ + 24661454, + 31944261 + ], + [ + 69611653, + 73604002 + ], + [ + 9214754, + 5984762 + ], + [ + 14018063, + 65535869 + ], + [ + 26029964, + 70174401 + ], + [ + 26051620, + 15780814 + ], + [ + 76419467, + 35154940 + ], + [ + 74961438, + 164468 + ], + [ + 63379552, + 3476741 + ], + [ + 40249050, + 56673789 + ], + [ + 2540286, + 96761121 + ], + [ + 71248023, + 21021159 + ], + [ + 18206060, + 29245205 + ], + [ + 55015307, + 40476881 + ], + [ + 36074656, + 32343336 + ], + [ + 47400661, + 53795605 + ], + [ + 77303710, + 54225627 + ], + [ + 29836177, + 39387691 + ], + [ + 31228362, + 79106906 + ], + [ + 71442893, + 45308463 + ], + [ + 84052230, + 75535989 + ], + [ + 81092080, + 44362093 + ], + [ + 38465710, + 86642841 + ], + [ + 7045323, + 11449131 + ], + [ + 23164476, + 75193229 + ], + [ + 98278037, + 19757949 + ], + [ + 30736881, + 41352433 + ], + [ + 80167064, + 97057485 + ], + [ + 45070754, + 2692277 + ], + [ + 52567491, + 53574444 + ], + [ + 97506320, + 83517895 + ], + [ + 46266566, + 87152720 + ], + [ + 20020440, + 45718250 + ], + [ + 37599902, + 29747152 + ], + [ + 49010419, + 67432215 + ], + [ + 92315612, + 70665276 + ], + [ + 66021332, + 99962335 + ], + [ + 86886893, + 99102992 + ], + [ + 53721156, + 96486032 + ], + [ + 67314643, + 6539310 + ], + [ + 76506285, + 83586688 + ], + [ + 26690536, + 36018352 + ], + [ + 12143559, + 1926098 + ], + [ + 83503306, + 86013371 + ], + [ + 72635498, + 85137805 + ], + [ + 24900424, + 14635487 + ], + [ + 8629839, + 65153314 + ], + [ + 22515205, + 73082324 + ], + [ + 55444536, + 63694616 + ], + [ + 43078848, + 49423542 + ], + [ + 97352068, + 62682890 + ], + [ + 32627073, + 18980714 + ], + [ + 68565968, + 42645383 + ], + [ + 39022050, + 60492183 + ], + [ + 47574983, + 6915853 + ], + [ + 53601565, + 24260217 + ], + [ + 74209268, + 68946091 + ], + [ + 74535997, + 3831653 + ], + [ + 58111829, + 49967065 + ], + [ + 63852007, + 33717447 + ], + [ + 49773981, + 91513710 + ], + [ + 31414579, + 21257666 + ], + [ + 69305965, + 73064233 + ], + [ + 6444598, + 78440590 + ], + [ + 92030378, + 40547704 + ], + [ + 90182277, + 41770068 + ], + [ + 28742897, + 37246448 + ], + [ + 610814, + 23809649 + ], + [ + 84723720, + 8484919 + ], + [ + 23567798, + 66224811 + ], + [ + 840430, + 31402592 + ], + [ + 30123588, + 37199364 + ], + [ + 66459605, + 37740677 + ], + [ + 55647515, + 58530526 + ], + [ + 24339741, + 16487606 + ], + [ + 83261554, + 34133757 + ], + [ + 76013387, + 80251611 + ], + [ + 95017307, + 26469956 + ], + [ + 25834586, + 36407602 + ], + [ + 98154296, + 88820641 + ], + [ + 88210517, + 39172296 + ], + [ + 75393794, + 72991481 + ], + [ + 38738618, + 16493685 + ], + [ + 35591725, + 38940748 + ], + [ + 48126637, + 32291691 + ], + [ + 37547881, + 66304292 + ], + [ + 54365048, + 69549060 + ], + [ + 95476644, + 18583533 + ], + [ + 86475558, + 71625138 + ], + [ + 17068088, + 90366503 + ], + [ + 71400084, + 58308069 + ], + [ + 63171409, + 54160488 + ], + [ + 48764619, + 1081467 + ], + [ + 40614374, + 80257126 + ], + [ + 36194460, + 38248830 + ], + [ + 61196744, + 44220281 + ], + [ + 6248609, + 18049407 + ], + [ + 82846770, + 34333904 + ], + [ + 24468022, + 55832650 + ], + [ + 21195498, + 94165872 + ], + [ + 2406837, + 73176846 + ], + [ + 61345184, + 70438543 + ], + [ + 85930716, + 36613378 + ], + [ + 78015047, + 37481847 + ], + [ + 14807116, + 56236291 + ], + [ + 20832046, + 18111024 + ], + [ + 64608480, + 56886201 + ], + [ + 1662041, + 44412736 + ], + [ + 8073688, + 26792673 + ], + [ + 4771260, + 5052095 + ], + [ + 12784243, + 42697969 + ], + [ + 83290978, + 38126768 + ], + [ + 10179442, + 31306143 + ], + [ + 13142156, + 42372212 + ], + [ + 54929728, + 74095272 + ], + [ + 32612876, + 5705764 + ], + [ + 14496366, + 45449854 + ], + [ + 66406933, + 9196637 + ], + [ + 90734078, + 46724897 + ], + [ + 4023328, + 50324429 + ], + [ + 20561262, + 12599806 + ], + [ + 84843088, + 37447813 + ], + [ + 82027363, + 86278356 + ], + [ + 5670116, + 10272109 + ], + [ + 98371484, + 95200697 + ], + [ + 78625457, + 7391333 + ], + [ + 81756129, + 84261751 + ], + [ + 22839158, + 5180457 + ], + [ + 2083611, + 40627276 + ], + [ + 61514676, + 46323283 + ], + [ + 91512549, + 42818452 + ], + [ + 76063733, + 53257653 + ], + [ + 95545340, + 78350704 + ], + [ + 22256040, + 54615573 + ], + [ + 44034248, + 79924512 + ], + [ + 25090241, + 43143007 + ], + [ + 6827232, + 58356504 + ], + [ + 24393264, + 81938464 + ], + [ + 55679871, + 87266208 + ], + [ + 23235071, + 18571047 + ], + [ + 1771086, + 46633783 + ], + [ + 64922456, + 98713610 + ], + [ + 14799370, + 60499384 + ], + [ + 83881002, + 39890556 + ], + [ + 39694443, + 764254 + ], + [ + 75216249, + 95306570 + ], + [ + 54146090, + 2337348 + ], + [ + 64661646, + 40634654 + ], + [ + 38151576, + 84122097 + ], + [ + 67016567, + 56733686 + ], + [ + 62503902, + 85591336 + ], + [ + 48478691, + 89291676 + ], + [ + 28066729, + 52846089 + ], + [ + 28820767, + 88197594 + ], + [ + 83195003, + 97982473 + ], + [ + 34729393, + 91951187 + ], + [ + 85926096, + 75071683 + ], + [ + 31551455, + 92995515 + ], + [ + 29890227, + 57275864 + ], + [ + 34168404, + 65808631 + ], + [ + 62448077, + 65079831 + ], + [ + 53406285, + 2160150 + ], + [ + 61010310, + 90954800 + ], + [ + 44005219, + 17413867 + ], + [ + 70553220, + 18867297 + ], + [ + 60860417, + 23446656 + ], + [ + 72891439, + 81251255 + ], + [ + 65653891, + 32574025 + ], + [ + 40730026, + 41020637 + ], + [ + 92422248, + 1377011 + ], + [ + 16130825, + 54404598 + ], + [ + 13485720, + 57854381 + ], + [ + 50202486, + 95926429 + ], + [ + 18133159, + 80435571 + ], + [ + 49620052, + 77719408 + ], + [ + 15578098, + 29590530 + ], + [ + 9381138, + 70760313 + ], + [ + 84717489, + 46814326 + ], + [ + 26645373, + 90595379 + ], + [ + 47014890, + 81020832 + ], + [ + 94408897, + 9732150 + ], + [ + 83488740, + 29633809 + ], + [ + 94899399, + 7690760 + ], + [ + 21672900, + 30238712 + ], + [ + 84644462, + 14414377 + ], + [ + 18076454, + 50241954 + ], + [ + 91066110, + 13011408 + ], + [ + 3902286, + 72944987 + ], + [ + 55546545, + 75351168 + ], + [ + 47391558, + 8735821 + ], + [ + 42853041, + 68342595 + ], + [ + 29424761, + 93612740 + ], + [ + 64464478, + 71476730 + ], + [ + 34834585, + 16560849 + ], + [ + 64733643, + 33833516 + ], + [ + 87728903, + 60917373 + ], + [ + 41379086, + 35751272 + ], + [ + 8815728, + 4059983 + ], + [ + 32531317, + 56633909 + ], + [ + 1010051, + 15680553 + ], + [ + 63872131, + 46291925 + ], + [ + 98811433, + 16118817 + ], + [ + 26836964, + 70844702 + ], + [ + 48180423, + 68311881 + ], + [ + 11235127, + 51267959 + ], + [ + 3149380, + 1925542 + ], + [ + 83406060, + 43767412 + ], + [ + 2730534, + 63365659 + ], + [ + 21058133, + 70960650 + ], + [ + 49829976, + 61123423 + ], + [ + 31589087, + 69413093 + ], + [ + 81939385, + 79351039 + ], + [ + 19865696, + 84951855 + ], + [ + 28421581, + 90994287 + ], + [ + 56723931, + 59452002 + ], + [ + 61334428, + 79846649 + ], + [ + 17106185, + 90905665 + ], + [ + 1202801, + 5634539 + ], + [ + 13509911, + 4189363 + ], + [ + 98688355, + 74024823 + ], + [ + 36938832, + 33754435 + ], + [ + 38654217, + 24898413 + ], + [ + 62064268, + 97681403 + ], + [ + 34100379, + 12915989 + ], + [ + 99007288, + 65270322 + ], + [ + 82459170, + 60205162 + ], + [ + 46904781, + 10031749 + ], + [ + 87664141, + 23745880 + ], + [ + 72870096, + 27664812 + ], + [ + 34879759, + 87844126 + ], + [ + 24802083, + 75239419 + ], + [ + 48384318, + 80450369 + ], + [ + 83073523, + 53874435 + ], + [ + 77432180, + 75396534 + ], + [ + 44141845, + 92755885 + ], + [ + 29281162, + 97462382 + ], + [ + 40250437, + 4198114 + ], + [ + 65211085, + 24797209 + ], + [ + 93793720, + 98175540 + ], + [ + 21625968, + 14683513 + ], + [ + 1024272, + 17916291 + ], + [ + 46266642, + 4623898 + ], + [ + 58108465, + 29767245 + ], + [ + 15283058, + 93124867 + ], + [ + 90271085, + 30145953 + ], + [ + 1961831, + 38533925 + ], + [ + 53760648, + 6570253 + ], + [ + 1360563, + 66711225 + ], + [ + 43058383, + 18958070 + ], + [ + 62584369, + 23344407 + ], + [ + 67294443, + 79348355 + ], + [ + 47296882, + 38879877 + ], + [ + 90674667, + 45094203 + ], + [ + 55319019, + 61034415 + ], + [ + 38370559, + 90164680 + ], + [ + 17719111, + 5718793 + ], + [ + 15964736, + 87743923 + ], + [ + 78552900, + 43399747 + ], + [ + 98846243, + 94726387 + ], + [ + 70219277, + 77229851 + ], + [ + 2229988, + 82898200 + ], + [ + 49049755, + 94632340 + ], + [ + 47170388, + 97784517 + ], + [ + 55466764, + 5161769 + ], + [ + 29596676, + 62506937 + ], + [ + 53912871, + 65332660 + ], + [ + 39597912, + 72551558 + ], + [ + 59891589, + 27144964 + ], + [ + 67161262, + 12426733 + ], + [ + 85565593, + 58249982 + ], + [ + 11158697, + 15219272 + ], + [ + 9773962, + 6183617 + ], + [ + 3897695, + 83628637 + ], + [ + 53140623, + 49222775 + ], + [ + 93122660, + 20562759 + ], + [ + 77650314, + 67785399 + ], + [ + 61639385, + 6642930 + ], + [ + 9788578, + 37852056 + ], + [ + 89743279, + 30655147 + ], + [ + 64029770, + 19923312 + ], + [ + 7730850, + 96046649 + ], + [ + 45033488, + 75488412 + ], + [ + 35402606, + 16350304 + ], + [ + 77773317, + 69469952 + ], + [ + 72964019, + 25006847 + ], + [ + 33444258, + 43673354 + ], + [ + 49026054, + 24539582 + ], + [ + 88314905, + 48459202 + ], + [ + 24712026, + 70083790 + ], + [ + 40078411, + 24662495 + ], + [ + 50949056, + 3803660 + ], + [ + 88420133, + 64720168 + ], + [ + 38387946, + 11106039 + ], + [ + 19661126, + 97132680 + ], + [ + 7310627, + 31257188 + ], + [ + 26643194, + 46099554 + ], + [ + 63074152, + 9448386 + ], + [ + 97671259, + 34491631 + ], + [ + 13117716, + 66165121 + ], + [ + 43165168, + 74472490 + ], + [ + 31531592, + 51159629 + ], + [ + 70746937, + 81509273 + ], + [ + 59288289, + 7874950 + ], + [ + 50597818, + 79939126 + ], + [ + 19308295, + 21139219 + ], + [ + 70768402, + 98199002 + ], + [ + 52387956, + 20823843 + ], + [ + 60181956, + 5600081 + ], + [ + 58672623, + 97348916 + ], + [ + 38858931, + 7466155 + ], + [ + 14193302, + 20081463 + ], + [ + 93628941, + 88950082 + ], + [ + 2228245, + 44031520 + ], + [ + 28977811, + 90989069 + ], + [ + 65537315, + 18345706 + ], + [ + 9815501, + 88175129 + ], + [ + 77356245, + 67432811 + ], + [ + 57521196, + 17473797 + ], + [ + 34939406, + 61950731 + ], + [ + 11760923, + 83238613 + ], + [ + 67717965, + 91798362 + ], + [ + 36488613, + 93574116 + ], + [ + 80128023, + 97545971 + ], + [ + 11765946, + 82909533 + ], + [ + 77205343, + 16713670 + ], + [ + 97636302, + 72694697 + ], + [ + 14679975, + 29446266 + ], + [ + 29569231, + 14489806 + ], + [ + 48979510, + 62115335 + ], + [ + 92904294, + 13700937 + ], + [ + 34083185, + 96295739 + ], + [ + 37381489, + 58012262 + ], + [ + 86236703, + 97345594 + ], + [ + 20219562, + 94988747 + ], + [ + 82243092, + 96405794 + ], + [ + 75072688, + 96427920 + ], + [ + 95974482, + 67415647 + ], + [ + 96583776, + 41662836 + ], + [ + 2129736, + 8095135 + ], + [ + 82760514, + 12444433 + ], + [ + 74168199, + 58198029 + ], + [ + 90253674, + 43190514 + ], + [ + 90885149, + 22940775 + ], + [ + 34875110, + 73067225 + ], + [ + 62529793, + 47559512 + ], + [ + 72709616, + 15284561 + ], + [ + 77832999, + 42684917 + ], + [ + 62339844, + 42642633 + ], + [ + 34040150, + 88144728 + ], + [ + 65342952, + 25289673 + ], + [ + 92165933, + 52867039 + ], + [ + 94700028, + 76323074 + ], + [ + 40764989, + 31515175 + ], + [ + 56392755, + 71023403 + ], + [ + 9912102, + 42852884 + ], + [ + 16258546, + 97590396 + ], + [ + 22184260, + 44429260 + ], + [ + 61761595, + 93877801 + ], + [ + 44280229, + 48988774 + ], + [ + 44545651, + 4834857 + ], + [ + 58993089, + 36013689 + ], + [ + 24108588, + 87754764 + ], + [ + 45922143, + 25398251 + ], + [ + 74391280, + 63445656 + ], + [ + 48836635, + 19285842 + ], + [ + 89380995, + 3635083 + ], + [ + 82652942, + 13468637 + ], + [ + 49988276, + 2091217 + ], + [ + 49420329, + 58293319 + ], + [ + 39982302, + 36059322 + ], + [ + 79503009, + 99949272 + ], + [ + 87781062, + 31430296 + ], + [ + 12679538, + 65739734 + ], + [ + 153428, + 3724556 + ], + [ + 87677758, + 79496400 + ], + [ + 50640013, + 20086995 + ], + [ + 52946926, + 61676012 + ], + [ + 52417671, + 55901976 + ], + [ + 73878506, + 43966200 + ], + [ + 97197327, + 67737712 + ], + [ + 23474701, + 88818114 + ], + [ + 92696049, + 5649659 + ], + [ + 68239556, + 73060764 + ], + [ + 16242737, + 49255506 + ], + [ + 12204261, + 96735563 + ], + [ + 8676127, + 38101816 + ], + [ + 65595689, + 98062558 + ], + [ + 36496228, + 21013220 + ], + [ + 20824944, + 49012951 + ], + [ + 96560527, + 33595091 + ], + [ + 40201436, + 18625324 + ], + [ + 42737314, + 21421565 + ], + [ + 35221336, + 17092798 + ], + [ + 47378749, + 96880659 + ], + [ + 73482299, + 83395449 + ], + [ + 29400418, + 5706118 + ], + [ + 6471799, + 62209945 + ], + [ + 33577011, + 54549471 + ], + [ + 36739124, + 30495117 + ], + [ + 93690953, + 16879904 + ], + [ + 29167774, + 73092998 + ], + [ + 9681933, + 12519531 + ], + [ + 5863020, + 72351832 + ], + [ + 31050207, + 23503887 + ], + [ + 97285893, + 36164896 + ], + [ + 8385348, + 10832228 + ], + [ + 55902589, + 56372692 + ], + [ + 76145623, + 41790366 + ], + [ + 97850248, + 1962563 + ], + [ + 10169894, + 45664411 + ], + [ + 70161585, + 85807792 + ], + [ + 97805607, + 23526281 + ], + [ + 36203571, + 11988767 + ], + [ + 3616307, + 83122228 + ], + [ + 87709008, + 17533358 + ], + [ + 71088984, + 46286397 + ], + [ + 83179111, + 12244413 + ], + [ + 52378847, + 65740439 + ], + [ + 70207264, + 772522 + ], + [ + 9873311, + 5958902 + ], + [ + 81556043, + 72625119 + ], + [ + 69287045, + 54449352 + ], + [ + 12341528, + 28277608 + ], + [ + 93664148, + 17707574 + ], + [ + 75101695, + 8387461 + ], + [ + 71218498, + 62564509 + ], + [ + 64800812, + 39065440 + ], + [ + 44456588, + 19033720 + ], + [ + 67376436, + 91002347 + ], + [ + 30436203, + 15771990 + ], + [ + 59684078, + 65880746 + ], + [ + 90873700, + 88703384 + ], + [ + 40428519, + 30543208 + ], + [ + 64424672, + 40972153 + ], + [ + 48803837, + 88640320 + ], + [ + 16419945, + 42686862 + ], + [ + 62177131, + 91989315 + ], + [ + 82736035, + 165954 + ], + [ + 31233475, + 79827579 + ], + [ + 33744759, + 74362104 + ], + [ + 7013194, + 79508100 + ], + [ + 52283773, + 8231661 + ], + [ + 18240550, + 34630655 + ], + [ + 48253022, + 54414170 + ], + [ + 31265865, + 89648906 + ], + [ + 93452524, + 92868439 + ], + [ + 91401552, + 73809386 + ], + [ + 10889507, + 33851452 + ], + [ + 12429603, + 79707381 + ], + [ + 75413365, + 5907892 + ], + [ + 81728455, + 76460175 + ], + [ + 38750307, + 14682148 + ], + [ + 41171486, + 67638756 + ], + [ + 12465492, + 25644385 + ], + [ + 99053753, + 6524899 + ], + [ + 45017339, + 92760937 + ], + [ + 2299173, + 52539718 + ], + [ + 28539142, + 29468195 + ], + [ + 35308332, + 74968353 + ], + [ + 26533606, + 20417939 + ], + [ + 67317780, + 59030366 + ], + [ + 55677942, + 69965710 + ], + [ + 62088004, + 71706241 + ], + [ + 31456199, + 48077110 + ], + [ + 96701365, + 18771381 + ], + [ + 72989258, + 79927001 + ], + [ + 21247811, + 125086 + ], + [ + 77071454, + 69493857 + ], + [ + 33704739, + 27275357 + ], + [ + 89999859, + 72208147 + ], + [ + 28093532, + 30934327 + ], + [ + 6483415, + 11970658 + ], + [ + 4756833, + 17508412 + ], + [ + 46351282, + 20819663 + ], + [ + 42614542, + 17608951 + ], + [ + 4208107, + 34570183 + ], + [ + 75403028, + 34866314 + ], + [ + 53306447, + 86922101 + ], + [ + 87061103, + 50309036 + ], + [ + 87769521, + 53886374 + ], + [ + 65236409, + 3910713 + ], + [ + 12764860, + 58424599 + ], + [ + 40702101, + 60863760 + ], + [ + 53063541, + 53740448 + ], + [ + 74176523, + 58650330 + ], + [ + 5707455, + 7076065 + ], + [ + 95553749, + 67722111 + ], + [ + 5915610, + 56728265 + ], + [ + 90721360, + 4714303 + ], + [ + 58235654, + 31420690 + ], + [ + 45410289, + 10800737 + ], + [ + 81305386, + 58452166 + ], + [ + 64551117, + 42046204 + ], + [ + 29988801, + 48802984 + ], + [ + 20051738, + 64592495 + ], + [ + 16240794, + 34993306 + ], + [ + 47239420, + 23940459 + ], + [ + 5730258, + 35006338 + ], + [ + 99469694, + 86695450 + ], + [ + 68846667, + 78773637 + ], + [ + 51481067, + 97259932 + ], + [ + 1697650, + 41539611 + ], + [ + 70881013, + 44920290 + ], + [ + 30045936, + 2163500 + ], + [ + 67080763, + 26326780 + ], + [ + 35132521, + 21386550 + ], + [ + 72552409, + 26753149 + ], + [ + 91476087, + 40568557 + ], + [ + 10656987, + 95189459 + ], + [ + 17607824, + 26528242 + ], + [ + 34787888, + 63850844 + ], + [ + 94913196, + 49887936 + ], + [ + 93541630, + 17264959 + ], + [ + 59241192, + 50391656 + ], + [ + 36474003, + 80290307 + ], + [ + 85708389, + 56814487 + ], + [ + 35425423, + 85502464 + ], + [ + 2633251, + 77061897 + ], + [ + 93991860, + 27415327 + ], + [ + 23712810, + 19792991 + ], + [ + 81765214, + 44839241 + ], + [ + 81917873, + 29226994 + ], + [ + 42158096, + 92999708 + ], + [ + 80271308, + 38526315 + ], + [ + 84825722, + 35649903 + ], + [ + 26971619, + 86804038 + ], + [ + 60946344, + 98034848 + ], + [ + 63880781, + 59290810 + ], + [ + 81509380, + 22070833 + ], + [ + 89154411, + 57459140 + ], + [ + 72642803, + 65352667 + ], + [ + 51286956, + 49637284 + ], + [ + 96072579, + 83810753 + ], + [ + 83494669, + 53638583 + ], + [ + 98766601, + 12231378 + ], + [ + 1818387, + 67136093 + ], + [ + 21638506, + 82790494 + ], + [ + 87139302, + 50242175 + ], + [ + 54735217, + 64741637 + ], + [ + 95895004, + 54001510 + ], + [ + 26483801, + 55981096 + ], + [ + 49030437, + 25202642 + ], + [ + 20255296, + 98334721 + ], + [ + 18061657, + 41745038 + ], + [ + 92538215, + 6737592 + ], + [ + 2582018, + 4076692 + ], + [ + 3098539, + 9430255 + ], + [ + 2629517, + 23163663 + ], + [ + 92815174, + 30878677 + ], + [ + 60215624, + 81710587 + ], + [ + 40045927, + 87266281 + ], + [ + 21758416, + 17408674 + ], + [ + 10172814, + 18570167 + ], + [ + 60109743, + 35654825 + ], + [ + 49552648, + 3201107 + ], + [ + 12682117, + 86809173 + ], + [ + 22283822, + 45537314 + ], + [ + 84572288, + 57007762 + ], + [ + 76415473, + 99599558 + ], + [ + 66062200, + 17816507 + ], + [ + 11520897, + 88256876 + ], + [ + 64693227, + 62116060 + ], + [ + 46736436, + 65187688 + ], + [ + 42133486, + 90841193 + ], + [ + 99023476, + 14564321 + ], + [ + 49808025, + 63140022 + ], + [ + 46292335, + 28493454 + ], + [ + 21467261, + 89504173 + ], + [ + 62990246, + 92530281 + ], + [ + 59252017, + 9066516 + ], + [ + 25693604, + 56405953 + ], + [ + 30663871, + 28619303 + ], + [ + 59261749, + 23470353 + ], + [ + 35607049, + 31847103 + ], + [ + 24245661, + 60656576 + ], + [ + 50923741, + 67848312 + ], + [ + 64818430, + 4825649 + ], + [ + 85872742, + 18050833 + ], + [ + 64837206, + 33243070 + ], + [ + 48929884, + 23315163 + ], + [ + 15096542, + 55897535 + ], + [ + 28120817, + 14022937 + ], + [ + 88966934, + 51058550 + ], + [ + 6716799, + 36418923 + ], + [ + 44821154, + 4200580 + ], + [ + 49146662, + 10566333 + ], + [ + 49290447, + 60219237 + ], + [ + 72941773, + 87612003 + ], + [ + 91875177, + 41923208 + ], + [ + 98512317, + 67348128 + ], + [ + 93735487, + 83209866 + ], + [ + 22360546, + 5647813 + ], + [ + 49607406, + 37685384 + ], + [ + 14412031, + 61496450 + ], + [ + 96790033, + 38699591 + ], + [ + 73342170, + 77825491 + ], + [ + 67608798, + 70283973 + ], + [ + 67261231, + 92728730 + ], + [ + 71363332, + 71834039 + ], + [ + 35826356, + 707602 + ], + [ + 2122513, + 60563187 + ], + [ + 45630855, + 47168632 + ], + [ + 99670833, + 54093811 + ], + [ + 87672640, + 63417750 + ], + [ + 86369254, + 72183066 + ], + [ + 78372429, + 14362955 + ], + [ + 19125843, + 59738947 + ], + [ + 85908762, + 19760808 + ], + [ + 44576129, + 87693118 + ], + [ + 78997320, + 42897706 + ], + [ + 47388937, + 16476420 + ], + [ + 69082325, + 17601124 + ], + [ + 9588446, + 18030646 + ], + [ + 98107417, + 27778026 + ], + [ + 38832236, + 35742074 + ], + [ + 59493075, + 83093742 + ], + [ + 7969805, + 69049824 + ], + [ + 23646711, + 19298112 + ], + [ + 76018180, + 21835300 + ], + [ + 17645877, + 22249559 + ], + [ + 18587077, + 99718069 + ], + [ + 76387048, + 47597823 + ], + [ + 2881310, + 99844719 + ], + [ + 85512856, + 22229675 + ], + [ + 67850170, + 71969923 + ], + [ + 37386312, + 52583999 + ], + [ + 61094279, + 22298331 + ], + [ + 62204010, + 80717304 + ], + [ + 29608506, + 73396110 + ], + [ + 47785035, + 49346193 + ], + [ + 78491491, + 78391372 + ], + [ + 13064094, + 65062843 + ], + [ + 28811014, + 82769198 + ], + [ + 38425523, + 78834507 + ], + [ + 33855226, + 95977903 + ], + [ + 50101909, + 82437423 + ], + [ + 97745654, + 66851843 + ], + [ + 97876942, + 50835376 + ], + [ + 2536575, + 75081555 + ], + [ + 10993826, + 17942463 + ], + [ + 51011231, + 78237893 + ], + [ + 44873538, + 8414580 + ], + [ + 36132374, + 20698875 + ], + [ + 93645006, + 91026374 + ], + [ + 97295752, + 96099904 + ], + [ + 11279771, + 56032393 + ], + [ + 22482355, + 9337189 + ], + [ + 4306520, + 71986318 + ], + [ + 50987800, + 68233549 + ], + [ + 72155142, + 4143729 + ], + [ + 41592351, + 10561475 + ], + [ + 29964101, + 54277271 + ], + [ + 31806296, + 98647656 + ], + [ + 59400297, + 43689623 + ], + [ + 30812597, + 78523524 + ], + [ + 64424120, + 54837647 + ], + [ + 24231747, + 73579288 + ], + [ + 70611366, + 91390321 + ], + [ + 94213041, + 76157089 + ], + [ + 56238685, + 53267481 + ], + [ + 74911432, + 78602750 + ], + [ + 98464029, + 58941446 + ], + [ + 7531248, + 63495678 + ], + [ + 25037615, + 96637386 + ], + [ + 40500787, + 86669986 + ], + [ + 32695598, + 79406542 + ], + [ + 35736644, + 39679806 + ], + [ + 17752730, + 90976041 + ], + [ + 5471669, + 15933210 + ], + [ + 39553277, + 47224639 + ], + [ + 80938394, + 82357390 + ], + [ + 55746226, + 6935200 + ], + [ + 96596216, + 78698810 + ], + [ + 89060235, + 1764314 + ], + [ + 45694772, + 57669182 + ], + [ + 34396040, + 67796916 + ], + [ + 39476727, + 9028506 + ], + [ + 26261680, + 25281482 + ], + [ + 70919990, + 45359388 + ], + [ + 9264969, + 20193422 + ], + [ + 9171950, + 53204189 + ], + [ + 34693591, + 74377963 + ], + [ + 8656861, + 47168002 + ], + [ + 86621272, + 4666615 + ], + [ + 38936759, + 99303382 + ], + [ + 29868294, + 47724322 + ], + [ + 33277840, + 89661630 + ], + [ + 75432131, + 14419497 + ], + [ + 20532795, + 40546682 + ], + [ + 51202461, + 96842070 + ], + [ + 16963774, + 76785236 + ], + [ + 84356021, + 57291105 + ], + [ + 65380713, + 46965433 + ], + [ + 65437064, + 55457670 + ], + [ + 87750799, + 42447397 + ], + [ + 23873890, + 78160868 + ], + [ + 26799389, + 26259667 + ], + [ + 64179654, + 1205261 + ], + [ + 12451678, + 56731327 + ], + [ + 26128075, + 36120028 + ], + [ + 18663308, + 66963408 + ], + [ + 49747966, + 3563333 + ], + [ + 29957924, + 77732831 + ], + [ + 55573550, + 98123826 + ], + [ + 84527806, + 94679188 + ], + [ + 94294428, + 80159886 + ], + [ + 78148889, + 50644409 + ], + [ + 52868802, + 25524899 + ], + [ + 31789155, + 24114321 + ], + [ + 6269169, + 87152071 + ], + [ + 1447194, + 78614840 + ], + [ + 64630102, + 42240380 + ], + [ + 30415182, + 26462686 + ], + [ + 38213947, + 9723764 + ], + [ + 11449323, + 4705699 + ], + [ + 81182254, + 96636696 + ], + [ + 66686151, + 82400851 + ], + [ + 52957393, + 4696648 + ], + [ + 30890070, + 45441525 + ], + [ + 38374164, + 44688697 + ], + [ + 4617473, + 74527412 + ], + [ + 16451533, + 28356754 + ], + [ + 65993774, + 2228491 + ], + [ + 62736806, + 16752619 + ], + [ + 17483018, + 27294794 + ], + [ + 47821873, + 50227757 + ], + [ + 31209622, + 65353796 + ], + [ + 10486332, + 24814420 + ], + [ + 91063652, + 56669485 + ], + [ + 74847485, + 77674392 + ], + [ + 8236111, + 42865 + ], + [ + 69733831, + 59341380 + ], + [ + 75649659, + 48799416 + ], + [ + 41332887, + 96162428 + ], + [ + 77698386, + 4057557 + ], + [ + 1078188, + 73546656 + ], + [ + 64274544, + 73774131 + ], + [ + 14470121, + 81696459 + ], + [ + 6143589, + 74812859 + ], + [ + 49877868, + 82932960 + ], + [ + 78346230, + 26005239 + ], + [ + 38775085, + 18964793 + ], + [ + 98889774, + 53676720 + ], + [ + 45984361, + 29866153 + ], + [ + 62972452, + 29032592 + ], + [ + 68744886, + 20774235 + ], + [ + 8912175, + 95424204 + ], + [ + 24077503, + 86065973 + ], + [ + 32000894, + 48091359 + ], + [ + 59065524, + 19716252 + ], + [ + 96154582, + 42862791 + ], + [ + 78857242, + 4376059 + ], + [ + 24489781, + 79518273 + ], + [ + 98550428, + 64796180 + ], + [ + 67509735, + 25829714 + ], + [ + 21931380, + 78426769 + ], + [ + 20718637, + 97090116 + ], + [ + 74172816, + 47609261 + ], + [ + 72639191, + 97741389 + ], + [ + 68483232, + 37498988 + ], + [ + 19487022, + 13245717 + ], + [ + 25810781, + 83503324 + ], + [ + 59312212, + 91123924 + ], + [ + 76336887, + 65835725 + ], + [ + 53129967, + 36797857 + ], + [ + 63665606, + 57564932 + ], + [ + 17715406, + 58372157 + ], + [ + 76487606, + 65614716 + ], + [ + 6439457, + 58315591 + ], + [ + 484401, + 91345774 + ], + [ + 42458431, + 14695983 + ], + [ + 76275065, + 25001932 + ], + [ + 34742300, + 89317751 + ], + [ + 60200638, + 61843729 + ], + [ + 88724397, + 40031987 + ], + [ + 44626434, + 48339538 + ], + [ + 9066192, + 74639228 + ], + [ + 33833344, + 29888673 + ], + [ + 61428989, + 59395577 + ], + [ + 74914687, + 71177857 + ], + [ + 46992370, + 99426314 + ], + [ + 72819706, + 4519571 + ], + [ + 24978795, + 99700325 + ], + [ + 52958436, + 84864435 + ], + [ + 43101492, + 81841681 + ], + [ + 29092608, + 68343122 + ], + [ + 67022443, + 98302282 + ], + [ + 65271495, + 6476284 + ], + [ + 48961019, + 41388613 + ], + [ + 46147249, + 12812970 + ], + [ + 25894884, + 21913104 + ], + [ + 74860866, + 9979721 + ], + [ + 36859205, + 18717410 + ], + [ + 47718994, + 73186727 + ], + [ + 85825211, + 51536854 + ], + [ + 18290374, + 94422524 + ], + [ + 10997268, + 68459424 + ], + [ + 70217524, + 44458888 + ], + [ + 10935841, + 20249482 + ], + [ + 5323034, + 84546994 + ], + [ + 43734289, + 81770373 + ], + [ + 82073898, + 4606179 + ], + [ + 22503147, + 20630231 + ], + [ + 79173791, + 82928057 + ], + [ + 80488531, + 81271210 + ], + [ + 55653147, + 73467638 + ], + [ + 95393166, + 69183068 + ], + [ + 37378012, + 97247429 + ], + [ + 78525533, + 63471473 + ], + [ + 61348841, + 64616262 + ], + [ + 84492889, + 65839886 + ], + [ + 77768647, + 75180119 + ], + [ + 94302802, + 6075146 + ], + [ + 37025209, + 66936455 + ], + [ + 87154161, + 5774948 + ], + [ + 11502, + 4235541 + ], + [ + 35637435, + 33327186 + ], + [ + 50223611, + 42427384 + ], + [ + 53067779, + 33694354 + ], + [ + 83664207, + 77256997 + ], + [ + 97176031, + 39395915 + ], + [ + 2560365, + 35184021 + ], + [ + 80604233, + 37735707 + ], + [ + 60222331, + 56129314 + ], + [ + 48013709, + 92739849 + ], + [ + 38572993, + 7373346 + ], + [ + 18377038, + 82538935 + ], + [ + 33752463, + 9913540 + ], + [ + 26262935, + 44731298 + ], + [ + 1597618, + 23298775 + ], + [ + 46295837, + 20678753 + ], + [ + 29139121, + 70745289 + ], + [ + 56543864, + 23352189 + ], + [ + 941363, + 19561421 + ], + [ + 13460467, + 76945602 + ], + [ + 99772519, + 85358983 + ], + [ + 33768316, + 45473050 + ], + [ + 46612760, + 15562869 + ], + [ + 62631035, + 25569404 + ], + [ + 3993042, + 48722264 + ], + [ + 93677220, + 48430829 + ], + [ + 79568309, + 9090317 + ], + [ + 42015635, + 69661491 + ], + [ + 7989874, + 76363395 + ], + [ + 37031378, + 92584081 + ], + [ + 33371099, + 10923017 + ], + [ + 24384563, + 62760398 + ], + [ + 94357150, + 38436368 + ], + [ + 78084244, + 35476843 + ], + [ + 64606176, + 46565116 + ], + [ + 37365567, + 38961283 + ], + [ + 71935809, + 71203562 + ], + [ + 64638403, + 93036888 + ], + [ + 76103540, + 92838955 + ], + [ + 65186056, + 59984916 + ], + [ + 55538406, + 61256952 + ], + [ + 17969968, + 83117612 + ], + [ + 4289305, + 97344523 + ], + [ + 93274189, + 68427854 + ], + [ + 58704181, + 68237416 + ], + [ + 59601411, + 47732273 + ], + [ + 15187954, + 37057891 + ], + [ + 85717595, + 23421475 + ], + [ + 90699668, + 61345237 + ], + [ + 98816534, + 52985448 + ], + [ + 60211693, + 71870090 + ], + [ + 77434507, + 46890368 + ], + [ + 79239912, + 92725301 + ], + [ + 96460544, + 58827416 + ], + [ + 17172267, + 81398746 + ], + [ + 3130880, + 45746686 + ], + [ + 66048413, + 41055670 + ], + [ + 2947372, + 44052795 + ], + [ + 66214625, + 7539261 + ], + [ + 79071994, + 14838259 + ], + [ + 89277475, + 55868959 + ], + [ + 91418909, + 64479366 + ], + [ + 71652457, + 30511071 + ], + [ + 95586856, + 80717847 + ], + [ + 30945008, + 71924561 + ], + [ + 85062514, + 88703353 + ], + [ + 75975617, + 87427041 + ], + [ + 96237085, + 20892645 + ], + [ + 11671264, + 43303721 + ], + [ + 36581649, + 99296558 + ], + [ + 50189897, + 99763339 + ], + [ + 96584097, + 81683777 + ], + [ + 82203831, + 94502666 + ], + [ + 74644746, + 90561773 + ], + [ + 1332374, + 51348525 + ], + [ + 73955698, + 49589165 + ], + [ + 12699094, + 97223282 + ], + [ + 54844909, + 54904967 + ], + [ + 83758897, + 82680977 + ], + [ + 99714647, + 44836810 + ], + [ + 20767363, + 53243773 + ], + [ + 65356770, + 85530540 + ], + [ + 21241790, + 48293512 + ], + [ + 12889166, + 9308959 + ], + [ + 70248820, + 44820956 + ], + [ + 29706544, + 13113845 + ], + [ + 87967614, + 35804568 + ], + [ + 12072309, + 98615893 + ], + [ + 92830161, + 88694851 + ], + [ + 91682201, + 22314709 + ], + [ + 33414994, + 44971403 + ], + [ + 20085416, + 71917425 + ], + [ + 71873086, + 83785186 + ], + [ + 32464251, + 74445273 + ], + [ + 86397893, + 96552892 + ], + [ + 59654373, + 12161472 + ], + [ + 36480370, + 32519701 + ], + [ + 83615435, + 35064067 + ], + [ + 93110048, + 96186107 + ], + [ + 6000546, + 47763635 + ], + [ + 50485958, + 62688412 + ], + [ + 40939340, + 37224333 + ], + [ + 66978250, + 71125016 + ], + [ + 70769493, + 219351 + ], + [ + 5038057, + 10910998 + ], + [ + 85169370, + 86018243 + ], + [ + 40402508, + 61443681 + ], + [ + 63169926, + 32694454 + ], + [ + 32472225, + 99331814 + ], + [ + 44639949, + 42676642 + ], + [ + 30821574, + 38304191 + ], + [ + 21068498, + 96907608 + ], + [ + 11066368, + 29820577 + ], + [ + 89706195, + 1413105 + ], + [ + 88757384, + 58761140 + ], + [ + 84716762, + 82428944 + ], + [ + 71172865, + 82143733 + ], + [ + 14941291, + 95334978 + ], + [ + 38280407, + 67762433 + ], + [ + 8518903, + 16953562 + ], + [ + 43138031, + 56002326 + ], + [ + 11031003, + 53452803 + ], + [ + 70233624, + 76350418 + ], + [ + 82791597, + 95915338 + ], + [ + 44576730, + 28788408 + ], + [ + 88767232, + 91988172 + ], + [ + 62084215, + 28649732 + ], + [ + 23789370, + 86959697 + ], + [ + 39647919, + 31909060 + ], + [ + 21602951, + 69985982 + ], + [ + 43746728, + 97500284 + ], + [ + 69591959, + 79643171 + ], + [ + 12466361, + 98635031 + ], + [ + 64173019, + 63854050 + ], + [ + 27899323, + 68370506 + ], + [ + 45020357, + 40675319 + ], + [ + 77013126, + 24360935 + ], + [ + 42663836, + 40795628 + ], + [ + 62190189, + 56949687 + ], + [ + 66431613, + 93712989 + ], + [ + 6859910, + 33040376 + ], + [ + 60640849, + 51239441 + ], + [ + 89954918, + 92884045 + ], + [ + 84749676, + 67741975 + ], + [ + 84171407, + 45562540 + ], + [ + 32673596, + 34498183 + ], + [ + 54355481, + 79540672 + ], + [ + 49876001, + 22675869 + ], + [ + 91348757, + 86039160 + ], + [ + 2068813, + 53469016 + ], + [ + 6785352, + 68992947 + ], + [ + 76180953, + 84282948 + ], + [ + 80461935, + 76045774 + ], + [ + 67368472, + 85880588 + ], + [ + 21494640, + 67241781 + ], + [ + 43930788, + 49585422 + ], + [ + 41173008, + 81225938 + ], + [ + 91211189, + 37278420 + ], + [ + 61596920, + 71608591 + ], + [ + 61075642, + 30276637 + ], + [ + 64766887, + 52164342 + ], + [ + 87642188, + 71372839 + ], + [ + 17223046, + 20508037 + ], + [ + 84621472, + 98943789 + ], + [ + 37868739, + 59704691 + ], + [ + 80621842, + 61014976 + ], + [ + 86344837, + 38389742 + ], + [ + 36543188, + 42780532 + ], + [ + 75495933, + 42631620 + ], + [ + 70882767, + 93050765 + ], + [ + 29246348, + 49144597 + ], + [ + 21196153, + 31447539 + ], + [ + 99140215, + 17379130 + ], + [ + 89056950, + 97021881 + ], + [ + 6414151, + 55585988 + ], + [ + 6043744, + 14796321 + ], + [ + 82778425, + 51901376 + ], + [ + 40424537, + 16286325 + ], + [ + 97992721, + 71388074 + ], + [ + 4932063, + 23716607 + ], + [ + 50863838, + 38482159 + ], + [ + 82051441, + 97958915 + ], + [ + 22065364, + 85926731 + ], + [ + 68599621, + 57071914 + ], + [ + 18743545, + 63238543 + ], + [ + 3882606, + 35088692 + ], + [ + 73406250, + 65799125 + ], + [ + 68571354, + 16575652 + ], + [ + 90901169, + 30813324 + ], + [ + 61742999, + 76450556 + ], + [ + 28492493, + 94036845 + ], + [ + 40078566, + 99352317 + ], + [ + 15411858, + 62436494 + ], + [ + 75251469, + 62448490 + ], + [ + 43664523, + 78149906 + ], + [ + 48189665, + 12817867 + ], + [ + 80770299, + 3920181 + ], + [ + 97121319, + 70797879 + ], + [ + 61197582, + 48781009 + ], + [ + 32553930, + 6196634 + ], + [ + 43854008, + 78413308 + ], + [ + 38791758, + 80778480 + ], + [ + 13875039, + 577933 + ], + [ + 74900698, + 95989762 + ], + [ + 27985000, + 81784607 + ], + [ + 50196184, + 88826739 + ], + [ + 32822282, + 48278314 + ], + [ + 10743814, + 69786757 + ], + [ + 98662941, + 29689882 + ], + [ + 60284122, + 2479187 + ], + [ + 86878427, + 85760065 + ], + [ + 82098463, + 71217314 + ], + [ + 62139783, + 85263988 + ], + [ + 74227895, + 83830580 + ], + [ + 22460864, + 57798570 + ], + [ + 60751484, + 32661645 + ], + [ + 93704600, + 77279963 + ], + [ + 31390833, + 12044701 + ], + [ + 95363677, + 13290581 + ], + [ + 76695999, + 73361336 + ], + [ + 32083452, + 93327953 + ], + [ + 19391720, + 26025153 + ], + [ + 18747118, + 4336571 + ], + [ + 41702472, + 40549835 + ], + [ + 29635894, + 15312047 + ], + [ + 93366048, + 27731698 + ], + [ + 69536752, + 91187542 + ], + [ + 95586547, + 28125297 + ], + [ + 26695230, + 23635908 + ], + [ + 52365227, + 76559554 + ], + [ + 30664734, + 84482901 + ], + [ + 22124241, + 60849827 + ], + [ + 87744750, + 73886704 + ], + [ + 24856276, + 71768397 + ], + [ + 85080168, + 74728544 + ], + [ + 99457235, + 36865321 + ], + [ + 70938671, + 78112767 + ], + [ + 12327418, + 56210100 + ], + [ + 85991520, + 55810194 + ], + [ + 98015612, + 83274521 + ], + [ + 39681888, + 4218108 + ], + [ + 27563060, + 67224874 + ], + [ + 60795554, + 4009506 + ], + [ + 51863557, + 8874 + ], + [ + 18949873, + 74309654 + ], + [ + 34369218, + 87556663 + ], + [ + 35591645, + 10441305 + ], + [ + 50711381, + 41895315 + ], + [ + 13285777, + 3162502 + ], + [ + 84870667, + 48986053 + ], + [ + 25426505, + 82084210 + ], + [ + 23443994, + 83686377 + ], + [ + 17604272, + 55958690 + ], + [ + 33795829, + 91934163 + ], + [ + 6184606, + 82477470 + ], + [ + 82648083, + 42216128 + ], + [ + 5659569, + 60816351 + ], + [ + 31539256, + 57271581 + ], + [ + 90204541, + 30505797 + ], + [ + 96281502, + 80882594 + ], + [ + 79457582, + 91348375 + ], + [ + 60711763, + 29612178 + ], + [ + 78438248, + 58816721 + ], + [ + 70400855, + 17680201 + ], + [ + 28443152, + 39566443 + ], + [ + 51992225, + 85093169 + ], + [ + 27606569, + 42369004 + ], + [ + 38074331, + 88110519 + ], + [ + 74412067, + 79435008 + ], + [ + 50721793, + 22549778 + ], + [ + 25538376, + 37029704 + ], + [ + 98392443, + 16095158 + ], + [ + 47265757, + 76201577 + ], + [ + 50898914, + 2978657 + ], + [ + 23716629, + 80560899 + ], + [ + 37572109, + 57766485 + ], + [ + 32576082, + 63253772 + ], + [ + 99156446, + 76024241 + ], + [ + 680683, + 63716161 + ], + [ + 98289581, + 81950317 + ], + [ + 16651230, + 68852736 + ], + [ + 28800702, + 72544369 + ], + [ + 57618533, + 65227722 + ], + [ + 95527404, + 62281790 + ], + [ + 62050117, + 13006873 + ], + [ + 61594787, + 73576386 + ], + [ + 9108897, + 2088993 + ], + [ + 96028274, + 93169529 + ], + [ + 19953767, + 66185560 + ], + [ + 62001556, + 48686803 + ], + [ + 15039151, + 22070787 + ], + [ + 49295866, + 74780135 + ], + [ + 91803184, + 69331885 + ], + [ + 45968761, + 44627739 + ], + [ + 64148208, + 86109001 + ], + [ + 8876455, + 14988255 + ], + [ + 72555470, + 60517224 + ], + [ + 55850488, + 39174355 + ], + [ + 38712120, + 30101272 + ], + [ + 60964514, + 58624340 + ], + [ + 99520987, + 54168498 + ], + [ + 48510585, + 16003603 + ], + [ + 74224683, + 78253176 + ], + [ + 44718903, + 64618168 + ], + [ + 85299946, + 25740441 + ], + [ + 89136471, + 47628191 + ], + [ + 82416261, + 67273135 + ], + [ + 27956356, + 59654624 + ], + [ + 90316210, + 32018679 + ], + [ + 53787306, + 37884843 + ], + [ + 30427635, + 10011095 + ], + [ + 28882525, + 64275165 + ], + [ + 92579092, + 1011545 + ], + [ + 94340286, + 30605034 + ], + [ + 41321562, + 73362453 + ], + [ + 96459339, + 95502335 + ], + [ + 88214130, + 22257990 + ], + [ + 21583315, + 15898115 + ], + [ + 94377498, + 30162254 + ], + [ + 32497382, + 16922706 + ], + [ + 1178301, + 47430778 + ], + [ + 87814571, + 97460114 + ], + [ + 35482931, + 93083670 + ], + [ + 38043611, + 49375600 + ], + [ + 28266460, + 14489276 + ], + [ + 75987936, + 90188748 + ], + [ + 72837823, + 58947870 + ], + [ + 46711672, + 1192954 + ], + [ + 37696242, + 82584551 + ], + [ + 83239778, + 33871294 + ], + [ + 54325705, + 72926292 + ], + [ + 91521347, + 94906329 + ], + [ + 84856616, + 78368385 + ], + [ + 24426686, + 27802104 + ], + [ + 88703092, + 8159134 + ], + [ + 38879064, + 48940431 + ], + [ + 27806031, + 72175969 + ], + [ + 29801304, + 39721338 + ], + [ + 69272277, + 1776335 + ], + [ + 91586777, + 31075404 + ], + [ + 62449532, + 54005383 + ], + [ + 69327371, + 74075784 + ], + [ + 74680689, + 84399333 + ], + [ + 50764469, + 43210117 + ], + [ + 33432608, + 82330887 + ], + [ + 7192797, + 55195403 + ], + [ + 28514314, + 33867911 + ], + [ + 51840854, + 40176082 + ], + [ + 50605419, + 87278067 + ], + [ + 61071580, + 32166443 + ], + [ + 36543193, + 17768372 + ], + [ + 62721881, + 77943681 + ], + [ + 44707490, + 34965753 + ], + [ + 59515025, + 16299612 + ], + [ + 95200650, + 23933247 + ], + [ + 95687111, + 26780219 + ], + [ + 15191447, + 57718163 + ], + [ + 94023141, + 69458050 + ], + [ + 55019731, + 99863300 + ], + [ + 62114224, + 48690012 + ], + [ + 31225865, + 178394 + ], + [ + 10028219, + 33238928 + ], + [ + 70555117, + 58920216 + ], + [ + 78882478, + 69111075 + ], + [ + 39668955, + 14047631 + ], + [ + 76133547, + 92819675 + ], + [ + 35886261, + 9645995 + ], + [ + 77759299, + 47954432 + ], + [ + 91650026, + 96809820 + ], + [ + 51971956, + 99477955 + ], + [ + 40953932, + 23318929 + ], + [ + 34296945, + 21904390 + ], + [ + 96902036, + 3295959 + ], + [ + 89251046, + 48017010 + ], + [ + 38227037, + 96161257 + ], + [ + 62259228, + 43847502 + ], + [ + 66639636, + 86421424 + ], + [ + 87046810, + 66606516 + ], + [ + 86197838, + 8857066 + ], + [ + 44961679, + 43918131 + ], + [ + 14436745, + 11453364 + ], + [ + 783521, + 79743979 + ], + [ + 2913382, + 77972632 + ], + [ + 13318615, + 32946402 + ], + [ + 46175272, + 79568772 + ], + [ + 59734213, + 30425941 + ], + [ + 27153103, + 67395096 + ], + [ + 86725907, + 65315601 + ], + [ + 64733220, + 53110317 + ], + [ + 28875355, + 29446303 + ], + [ + 12965220, + 82013984 + ], + [ + 26183164, + 20697574 + ], + [ + 84453523, + 3294347 + ], + [ + 88757174, + 57360368 + ], + [ + 5552858, + 23648832 + ], + [ + 26074049, + 17968726 + ], + [ + 60563079, + 43134989 + ], + [ + 84679341, + 74969746 + ], + [ + 28042306, + 645702 + ], + [ + 45659015, + 51966004 + ], + [ + 20345510, + 46030171 + ], + [ + 2520047, + 3970265 + ], + [ + 1028082, + 5693186 + ], + [ + 73896641, + 28263107 + ], + [ + 98128033, + 19899554 + ], + [ + 2370261, + 60624439 + ], + [ + 80328704, + 14956828 + ], + [ + 2423455, + 48977600 + ], + [ + 1517301, + 92843173 + ], + [ + 20795946, + 41676355 + ], + [ + 69681580, + 15440626 + ], + [ + 40841497, + 62612577 + ], + [ + 36591456, + 25057012 + ], + [ + 40538367, + 37981308 + ], + [ + 19410916, + 70885565 + ], + [ + 7263256, + 89684451 + ], + [ + 89595398, + 14237876 + ], + [ + 6214736, + 77382085 + ], + [ + 15827804, + 41090239 + ], + [ + 62352983, + 84660860 + ], + [ + 3163252, + 71210197 + ], + [ + 16168586, + 1481940 + ], + [ + 83365679, + 3132206 + ], + [ + 71353112, + 37703692 + ], + [ + 28724749, + 53838982 + ], + [ + 36550174, + 70267702 + ], + [ + 15397894, + 22431031 + ], + [ + 34075387, + 75573624 + ], + [ + 35974089, + 91152725 + ], + [ + 40646390, + 79375981 + ], + [ + 87771887, + 33235059 + ], + [ + 71678248, + 29972308 + ], + [ + 55198608, + 29122911 + ], + [ + 15217299, + 4057469 + ], + [ + 24534531, + 7346580 + ], + [ + 69774587, + 25801874 + ], + [ + 15196449, + 64397756 + ], + [ + 50974662, + 46161385 + ], + [ + 1229305, + 70277034 + ], + [ + 10630721, + 39782880 + ], + [ + 42139976, + 71311157 + ], + [ + 55135825, + 2336731 + ], + [ + 80047978, + 77615600 + ], + [ + 43413976, + 69081569 + ], + [ + 94254047, + 71157150 + ], + [ + 32743857, + 73130650 + ], + [ + 20148906, + 96162101 + ], + [ + 22660348, + 15568832 + ], + [ + 10239842, + 97609555 + ], + [ + 63370275, + 98319844 + ], + [ + 96438783, + 76161361 + ], + [ + 19353661, + 20899986 + ], + [ + 13227410, + 14275758 + ], + [ + 69118673, + 54861246 + ], + [ + 25871993, + 97728309 + ], + [ + 71463502, + 51185895 + ], + [ + 740107, + 86424965 + ], + [ + 63191540, + 87022604 + ], + [ + 97888657, + 50353056 + ], + [ + 74603290, + 35968587 + ], + [ + 62594202, + 17767583 + ], + [ + 95956696, + 18721889 + ], + [ + 94234024, + 51179523 + ], + [ + 6457450, + 6273034 + ], + [ + 74285543, + 80420684 + ], + [ + 85333260, + 18350277 + ], + [ + 66255466, + 77816721 + ], + [ + 65559610, + 12076476 + ], + [ + 54270157, + 8252103 + ], + [ + 84031224, + 39752989 + ], + [ + 67823886, + 2427765 + ], + [ + 45523592, + 74188078 + ], + [ + 36875529, + 60223761 + ], + [ + 26554728, + 83326214 + ], + [ + 21407193, + 1599306 + ], + [ + 76022769, + 16762094 + ], + [ + 8186776, + 90620785 + ], + [ + 4916020, + 57141505 + ], + [ + 79709077, + 20600405 + ], + [ + 93789215, + 44019707 + ], + [ + 15870660, + 73928648 + ], + [ + 33879013, + 18807358 + ], + [ + 85205735, + 17981268 + ], + [ + 28608827, + 72324080 + ], + [ + 75227527, + 81186600 + ], + [ + 61466188, + 90383428 + ], + [ + 96669279, + 84859366 + ], + [ + 14010277, + 43054094 + ], + [ + 21128077, + 75558350 + ], + [ + 20861858, + 40779033 + ], + [ + 20480478, + 18813400 + ], + [ + 28219262, + 31517333 + ], + [ + 43941332, + 4172801 + ], + [ + 9201094, + 69608235 + ], + [ + 52803849, + 83684213 + ], + [ + 34697477, + 95927243 + ], + [ + 20030900, + 23342224 + ], + [ + 26368998, + 43925504 + ], + [ + 89806950, + 60060807 + ], + [ + 59305298, + 25952427 + ], + [ + 51101782, + 20835472 + ], + [ + 90046463, + 28440761 + ], + [ + 45731636, + 39366846 + ], + [ + 86481731, + 84764951 + ], + [ + 58348741, + 35667222 + ], + [ + 61496037, + 87075600 + ], + [ + 88812516, + 14335860 + ], + [ + 521374, + 62769093 + ], + [ + 42182486, + 59281490 + ], + [ + 89901688, + 33455595 + ], + [ + 64184962, + 98257744 + ], + [ + 14393191, + 88579884 + ], + [ + 74341428, + 19577259 + ], + [ + 88096987, + 12393361 + ], + [ + 57141288, + 59735793 + ], + [ + 4632852, + 58604594 + ], + [ + 99523353, + 31087561 + ], + [ + 28367092, + 24444003 + ], + [ + 53388317, + 46773727 + ], + [ + 84787712, + 29423778 + ], + [ + 24005871, + 92130293 + ], + [ + 27459894, + 10707391 + ], + [ + 37780177, + 65081311 + ], + [ + 26434025, + 82962325 + ], + [ + 37056963, + 18022277 + ], + [ + 19207009, + 19807898 + ], + [ + 59056129, + 74264764 + ], + [ + 49020462, + 45613899 + ], + [ + 46399061, + 44949480 + ], + [ + 46403508, + 85707748 + ], + [ + 43252397, + 78901414 + ], + [ + 28427376, + 7866811 + ], + [ + 48591723, + 73663938 + ], + [ + 76714592, + 53407375 + ], + [ + 56552670, + 45291776 + ], + [ + 93037023, + 50438788 + ], + [ + 24325270, + 7098123 + ], + [ + 50072121, + 61600823 + ], + [ + 25283804, + 37076878 + ], + [ + 92946759, + 52241485 + ], + [ + 13223032, + 67579031 + ], + [ + 37300472, + 9801640 + ], + [ + 44870182, + 66142165 + ], + [ + 11847225, + 77075139 + ], + [ + 64519087, + 89900045 + ], + [ + 90390534, + 48650491 + ], + [ + 79183907, + 27466214 + ], + [ + 82900062, + 66025328 + ], + [ + 19134775, + 35144270 + ], + [ + 5100889, + 74194166 + ], + [ + 37214835, + 26895373 + ], + [ + 68037973, + 68242647 + ], + [ + 94170101, + 60443182 + ], + [ + 13717292, + 77115837 + ], + [ + 33882556, + 87819344 + ], + [ + 1687086, + 52017003 + ], + [ + 44637706, + 33496669 + ], + [ + 85842570, + 30834477 + ], + [ + 49934581, + 61942090 + ], + [ + 2705504, + 52102517 + ], + [ + 60654711, + 99323675 + ], + [ + 79839463, + 26394705 + ], + [ + 65334586, + 39751975 + ], + [ + 73542639, + 21842924 + ], + [ + 47693009, + 8509192 + ], + [ + 67590205, + 37680152 + ], + [ + 76128836, + 438506 + ], + [ + 74831186, + 35778925 + ], + [ + 35213174, + 75821866 + ], + [ + 71270646, + 64092854 + ], + [ + 69015996, + 98797471 + ], + [ + 20345530, + 80298842 + ], + [ + 87309630, + 41247342 + ], + [ + 2993079, + 36754469 + ], + [ + 91385588, + 1228987 + ], + [ + 342407, + 6789766 + ], + [ + 91540886, + 16698443 + ], + [ + 52431105, + 77559835 + ], + [ + 60637487, + 45665341 + ], + [ + 32617606, + 41360741 + ], + [ + 89832120, + 25374222 + ], + [ + 63903913, + 91921017 + ], + [ + 65680324, + 66544915 + ], + [ + 72296269, + 1859997 + ], + [ + 75403512, + 3999568 + ], + [ + 26908283, + 82535947 + ], + [ + 80798307, + 37243995 + ], + [ + 19964776, + 25133558 + ], + [ + 7170293, + 53351477 + ], + [ + 17473211, + 57498441 + ], + [ + 10891276, + 70422479 + ], + [ + 5404511, + 58990271 + ], + [ + 1754924, + 78565687 + ], + [ + 82488413, + 75174056 + ], + [ + 65324009, + 67511151 + ], + [ + 45601542, + 93770968 + ], + [ + 25920890, + 59948350 + ], + [ + 93482231, + 87641973 + ], + [ + 83425721, + 82998305 + ], + [ + 72949239, + 18989386 + ], + [ + 22119162, + 88715442 + ], + [ + 45017984, + 56337237 + ], + [ + 96828907, + 80481834 + ], + [ + 94313603, + 50746336 + ], + [ + 72269386, + 89924072 + ], + [ + 56350888, + 71540893 + ], + [ + 10359749, + 5732542 + ], + [ + 51103311, + 61553817 + ], + [ + 9189943, + 46203861 + ], + [ + 36010971, + 12887849 + ], + [ + 13363954, + 33100588 + ], + [ + 88198481, + 10109530 + ], + [ + 64114300, + 38318535 + ], + [ + 21090414, + 13950603 + ], + [ + 57490219, + 29434709 + ], + [ + 31363438, + 76591060 + ], + [ + 15280759, + 60052142 + ], + [ + 57394095, + 37956216 + ], + [ + 99676454, + 27257191 + ], + [ + 57116289, + 14611418 + ], + [ + 26056167, + 15672948 + ], + [ + 11667753, + 60268468 + ], + [ + 60105053, + 70474867 + ], + [ + 95656619, + 70068308 + ], + [ + 20284987, + 64616302 + ], + [ + 34460778, + 71685798 + ], + [ + 13265190, + 182220 + ], + [ + 90706750, + 32242078 + ], + [ + 92746531, + 82983502 + ], + [ + 11927879, + 4491726 + ], + [ + 8611210, + 34728377 + ], + [ + 72377088, + 42888428 + ], + [ + 47594335, + 82654354 + ], + [ + 69344425, + 88696027 + ], + [ + 16738948, + 79974917 + ], + [ + 60452752, + 27536977 + ], + [ + 48210256, + 29238397 + ], + [ + 85389202, + 2767730 + ], + [ + 7452747, + 27296632 + ], + [ + 94271351, + 96945149 + ], + [ + 33648336, + 20238131 + ], + [ + 9837264, + 65983519 + ], + [ + 20425615, + 58593438 + ], + [ + 65893101, + 59462554 + ], + [ + 41459592, + 94982883 + ], + [ + 35509162, + 4191152 + ], + [ + 98512335, + 86055742 + ], + [ + 41347207, + 56800651 + ], + [ + 84496754, + 52965213 + ], + [ + 52422430, + 61505778 + ], + [ + 69458299, + 61011918 + ], + [ + 18809529, + 35339992 + ], + [ + 77277712, + 18762262 + ], + [ + 50378827, + 29402053 + ], + [ + 20025771, + 50825257 + ], + [ + 69335071, + 41961653 + ], + [ + 75620673, + 10024833 + ], + [ + 60758818, + 89681179 + ], + [ + 52269822, + 16262693 + ], + [ + 84909190, + 83177559 + ], + [ + 86636140, + 11458256 + ], + [ + 86641875, + 78233892 + ], + [ + 73405226, + 71104244 + ], + [ + 49752693, + 57595494 + ], + [ + 95130950, + 28276505 + ], + [ + 50651428, + 55268415 + ], + [ + 13648805, + 56606397 + ], + [ + 9798998, + 17144849 + ], + [ + 73179568, + 59495778 + ], + [ + 47240667, + 80620811 + ], + [ + 10679251, + 36800845 + ], + [ + 76483235, + 8016230 + ], + [ + 49392522, + 62149653 + ], + [ + 99367940, + 23855048 + ], + [ + 2832624, + 88970887 + ], + [ + 32180146, + 29406994 + ], + [ + 50087516, + 77642714 + ], + [ + 96249181, + 72920136 + ], + [ + 56377861, + 57778282 + ], + [ + 90742066, + 13357008 + ], + [ + 24247996, + 49020049 + ], + [ + 73760844, + 66653711 + ], + [ + 62899558, + 84062075 + ], + [ + 30235686, + 24173678 + ], + [ + 83474285, + 83653123 + ], + [ + 46456663, + 91582809 + ], + [ + 90254499, + 29224686 + ], + [ + 43817658, + 55495498 + ], + [ + 60039298, + 50428562 + ], + [ + 74827420, + 59350262 + ], + [ + 7992793, + 11197679 + ], + [ + 45215551, + 29819906 + ], + [ + 69170263, + 81888349 + ], + [ + 17981697, + 97529849 + ], + [ + 34779525, + 48543643 + ], + [ + 4879740, + 10363893 + ], + [ + 7793413, + 55943962 + ], + [ + 37594729, + 25655284 + ], + [ + 2986394, + 14984335 + ], + [ + 45112746, + 27546865 + ], + [ + 1013897, + 77168785 + ], + [ + 92023822, + 58167377 + ], + [ + 13938294, + 87649668 + ], + [ + 66205894, + 56997023 + ], + [ + 74599682, + 38706511 + ], + [ + 85390278, + 75045201 + ], + [ + 21730981, + 73173392 + ], + [ + 84502459, + 1039576 + ], + [ + 2608059, + 4672240 + ], + [ + 66038175, + 83010424 + ], + [ + 53921004, + 55109115 + ], + [ + 26971961, + 40857931 + ], + [ + 91023390, + 35497360 + ], + [ + 40439417, + 47389554 + ], + [ + 87934323, + 81142082 + ], + [ + 88343118, + 81413319 + ], + [ + 685152, + 55514602 + ], + [ + 41637951, + 1316414 + ], + [ + 49468541, + 5001515 + ], + [ + 78875319, + 99180095 + ], + [ + 91967945, + 37044083 + ], + [ + 79685340, + 60780217 + ], + [ + 30974998, + 96704872 + ], + [ + 56923163, + 9175356 + ], + [ + 44451400, + 91675583 + ], + [ + 54917028, + 92799383 + ], + [ + 7887387, + 76433079 + ], + [ + 23063314, + 82271572 + ], + [ + 90767485, + 52381917 + ], + [ + 47797838, + 83741117 + ], + [ + 51078071, + 46182764 + ], + [ + 35572091, + 37778541 + ], + [ + 19610240, + 41467300 + ], + [ + 88744674, + 42474622 + ], + [ + 23786308, + 50030115 + ], + [ + 92204485, + 36418565 + ], + [ + 65114904, + 25072295 + ], + [ + 3862140, + 3868817 + ], + [ + 19180057, + 91120225 + ], + [ + 55980783, + 42006964 + ], + [ + 69167598, + 18620815 + ], + [ + 50596214, + 33484198 + ], + [ + 48085429, + 56134454 + ], + [ + 95221683, + 56518905 + ], + [ + 52293806, + 92394971 + ], + [ + 61668282, + 30700046 + ], + [ + 78246971, + 98860556 + ], + [ + 40149671, + 2833496 + ], + [ + 3735269, + 62569358 + ], + [ + 19636327, + 92721304 + ], + [ + 80478854, + 85993497 + ], + [ + 92844368, + 2283697 + ], + [ + 45898189, + 33141890 + ], + [ + 85745402, + 63000883 + ], + [ + 42539797, + 90787979 + ], + [ + 80196369, + 32582536 + ], + [ + 4501995, + 65046752 + ], + [ + 80199939, + 53210623 + ], + [ + 94419076, + 6051452 + ], + [ + 85836860, + 93970243 + ], + [ + 81603194, + 80524921 + ], + [ + 32314333, + 58694340 + ], + [ + 20417823, + 75935275 + ], + [ + 51567029, + 68189211 + ], + [ + 23508588, + 56710065 + ], + [ + 61252572, + 71188450 + ], + [ + 38533616, + 67884085 + ], + [ + 26809078, + 48567748 + ], + [ + 88903857, + 95179875 + ], + [ + 30001639, + 46396591 + ], + [ + 18220479, + 95832186 + ], + [ + 65511422, + 27874757 + ], + [ + 89932863, + 85082269 + ], + [ + 75609562, + 79868225 + ], + [ + 83046600, + 52262513 + ], + [ + 10547107, + 70229235 + ], + [ + 54045647, + 27748303 + ], + [ + 12480527, + 2223935 + ], + [ + 71866608, + 4782419 + ], + [ + 28509626, + 7982207 + ], + [ + 89965431, + 39186147 + ], + [ + 49546291, + 92583608 + ], + [ + 1492779, + 67597691 + ], + [ + 4301702, + 90075422 + ], + [ + 7359392, + 84657036 + ], + [ + 60624057, + 18458013 + ], + [ + 83401193, + 23732684 + ], + [ + 31286526, + 10329153 + ], + [ + 23534683, + 93837570 + ], + [ + 2786829, + 353516 + ], + [ + 711446, + 55213888 + ], + [ + 92899310, + 80801992 + ], + [ + 13804103, + 31878655 + ], + [ + 41131188, + 19103959 + ], + [ + 31825320, + 81817395 + ], + [ + 79176484, + 93103323 + ], + [ + 11483367, + 42740172 + ], + [ + 92778962, + 7147644 + ], + [ + 93570264, + 85052832 + ], + [ + 34542613, + 1850404 + ], + [ + 18524415, + 42149630 + ], + [ + 56939875, + 23911093 + ], + [ + 57907488, + 5946533 + ], + [ + 40163419, + 11576750 + ], + [ + 70450505, + 6618076 + ], + [ + 97665910, + 44897098 + ], + [ + 48469980, + 85937159 + ], + [ + 54102766, + 8731947 + ], + [ + 44591551, + 89037204 + ], + [ + 2816349, + 5787267 + ], + [ + 9735171, + 10656616 + ], + [ + 11928849, + 52880983 + ], + [ + 18318027, + 34056950 + ], + [ + 75934746, + 63328770 + ], + [ + 1098845, + 26969326 + ], + [ + 16063882, + 66704230 + ], + [ + 46942018, + 85336323 + ], + [ + 95679648, + 52443195 + ], + [ + 6882310, + 97932908 + ], + [ + 15183540, + 28999818 + ], + [ + 82862483, + 41029382 + ], + [ + 58219264, + 66166633 + ], + [ + 48722275, + 96486814 + ], + [ + 52600943, + 1356182 + ], + [ + 93314615, + 31065611 + ], + [ + 98584717, + 23791093 + ], + [ + 65849813, + 21542381 + ], + [ + 69821755, + 88784527 + ], + [ + 73211479, + 37956435 + ], + [ + 8814777, + 78564440 + ], + [ + 52514685, + 189764 + ], + [ + 35734037, + 66005377 + ], + [ + 82660692, + 51330533 + ], + [ + 22454365, + 92139859 + ], + [ + 17118683, + 78779429 + ], + [ + 75592310, + 31609800 + ], + [ + 34052279, + 57812600 + ], + [ + 54860260, + 55441767 + ], + [ + 9927695, + 98433067 + ], + [ + 60520111, + 28790332 + ], + [ + 13308720, + 84998998 + ], + [ + 79866482, + 89866268 + ], + [ + 12894633, + 2456765 + ], + [ + 28670664, + 7524363 + ], + [ + 67176349, + 30710571 + ], + [ + 24242624, + 57853052 + ], + [ + 451786, + 77828013 + ], + [ + 27783087, + 5736551 + ], + [ + 83483136, + 15108217 + ], + [ + 31904119, + 7536451 + ], + [ + 70376117, + 53794818 + ], + [ + 36170011, + 1061677 + ], + [ + 43962457, + 7820737 + ], + [ + 33429950, + 65678508 + ], + [ + 61437190, + 74170936 + ], + [ + 91096782, + 39646706 + ], + [ + 51375437, + 99644325 + ], + [ + 30088754, + 50370997 + ], + [ + 22466979, + 3129032 + ], + [ + 42436464, + 69149662 + ], + [ + 60485395, + 93045570 + ], + [ + 66639086, + 63240894 + ], + [ + 12812373, + 89343986 + ], + [ + 97718196, + 87091377 + ], + [ + 57167823, + 96410980 + ], + [ + 22825232, + 97109370 + ], + [ + 85717570, + 23089403 + ], + [ + 12127348, + 4523769 + ], + [ + 64684710, + 85120257 + ], + [ + 99299892, + 36319970 + ], + [ + 78518503, + 65960573 + ], + [ + 57912128, + 12932770 + ], + [ + 69110789, + 3251260 + ], + [ + 95097964, + 19977832 + ], + [ + 81667486, + 69468856 + ], + [ + 56698682, + 32527338 + ], + [ + 2287269, + 55411779 + ], + [ + 96199417, + 47320091 + ], + [ + 39915042, + 79615481 + ], + [ + 7580416, + 1808724 + ], + [ + 85683805, + 41602177 + ], + [ + 529353, + 24888384 + ], + [ + 30502724, + 98876129 + ], + [ + 72886185, + 84075130 + ], + [ + 94917627, + 59318497 + ], + [ + 76234583, + 17896249 + ], + [ + 8738888, + 20438568 + ], + [ + 41450165, + 75320792 + ], + [ + 71197090, + 34769709 + ], + [ + 48693691, + 23074859 + ], + [ + 34120515, + 96799295 + ], + [ + 36878467, + 41572670 + ], + [ + 47101358, + 87770542 + ], + [ + 23839296, + 51124032 + ], + [ + 33149946, + 44606490 + ], + [ + 92417359, + 20451495 + ], + [ + 22161223, + 98905158 + ], + [ + 22465861, + 76196696 + ], + [ + 75206609, + 52843251 + ], + [ + 75117783, + 9151335 + ], + [ + 24608050, + 76682068 + ], + [ + 98971315, + 84191083 + ], + [ + 42288272, + 95458547 + ], + [ + 18883397, + 78705291 + ], + [ + 8978918, + 54541136 + ], + [ + 53672292, + 17282845 + ], + [ + 24399272, + 31805002 + ], + [ + 43495941, + 70721350 + ], + [ + 52845903, + 64438035 + ], + [ + 16790889, + 52620490 + ], + [ + 26684029, + 35967422 + ], + [ + 67324086, + 81769894 + ], + [ + 41535938, + 73175019 + ], + [ + 84465894, + 37018124 + ], + [ + 84111396, + 41934203 + ], + [ + 59866705, + 9743969 + ], + [ + 49964524, + 57950041 + ], + [ + 25867566, + 14271359 + ], + [ + 56528904, + 65857155 + ], + [ + 69072522, + 4516400 + ], + [ + 68873881, + 55848571 + ], + [ + 2552513, + 37736477 + ], + [ + 8998097, + 548978 + ], + [ + 101097, + 20749622 + ], + [ + 10851767, + 13948982 + ], + [ + 30590747, + 72020712 + ], + [ + 30836128, + 80926680 + ], + [ + 85441544, + 47083995 + ], + [ + 8466184, + 93202432 + ], + [ + 6363817, + 43397110 + ], + [ + 80340690, + 88195740 + ], + [ + 34024732, + 21760892 + ], + [ + 82742760, + 69134192 + ], + [ + 28360060, + 98442111 + ], + [ + 61830365, + 67741142 + ], + [ + 82589260, + 27537680 + ], + [ + 95094899, + 65229590 + ], + [ + 67161211, + 96922572 + ], + [ + 4999503, + 22770275 + ], + [ + 80305508, + 99016326 + ], + [ + 72661293, + 96391238 + ], + [ + 4880565, + 89467008 + ], + [ + 51917790, + 45554182 + ], + [ + 43756938, + 60456230 + ], + [ + 88593634, + 78923102 + ], + [ + 55751760, + 87015636 + ], + [ + 3230869, + 75313934 + ], + [ + 70224470, + 3394487 + ], + [ + 74212183, + 74943791 + ], + [ + 37948873, + 13224251 + ], + [ + 38608166, + 21300110 + ], + [ + 54668975, + 4096032 + ], + [ + 37165968, + 92507129 + ], + [ + 67297203, + 90401057 + ], + [ + 42992479, + 59501454 + ], + [ + 76932869, + 38807620 + ], + [ + 62212012, + 62668381 + ], + [ + 63256127, + 99250700 + ], + [ + 53288732, + 84086781 + ], + [ + 43743438, + 59958354 + ], + [ + 41306643, + 83541873 + ], + [ + 53344631, + 7971273 + ], + [ + 82212213, + 15632353 + ], + [ + 23288066, + 54378424 + ], + [ + 68659679, + 43403970 + ], + [ + 74587186, + 95286484 + ], + [ + 18188640, + 93644601 + ], + [ + 16092265, + 18173949 + ], + [ + 46123488, + 61006486 + ], + [ + 45181603, + 10041227 + ], + [ + 94807129, + 49116251 + ], + [ + 30864876, + 43159579 + ], + [ + 63353146, + 43317356 + ], + [ + 66876281, + 42995631 + ], + [ + 26018914, + 36284240 + ], + [ + 15831935, + 63982598 + ], + [ + 83799369, + 68575068 + ], + [ + 78644900, + 33284314 + ], + [ + 19944168, + 77030909 + ], + [ + 16911953, + 20587675 + ], + [ + 99737664, + 12158873 + ], + [ + 81115503, + 40609785 + ], + [ + 97485119, + 79577670 + ], + [ + 59605082, + 40626841 + ], + [ + 98716293, + 45848253 + ], + [ + 50104422, + 15501286 + ], + [ + 35184605, + 3584669 + ], + [ + 87363434, + 62257643 + ], + [ + 43513024, + 9699308 + ], + [ + 86836738, + 10338281 + ], + [ + 54645124, + 18647556 + ], + [ + 18794550, + 34789118 + ], + [ + 51878424, + 79578270 + ], + [ + 15343340, + 51798116 + ], + [ + 47907539, + 71485259 + ], + [ + 11723027, + 3851872 + ], + [ + 10392450, + 87021306 + ], + [ + 97043817, + 3058965 + ], + [ + 8961146, + 54017776 + ], + [ + 38451427, + 24779222 + ], + [ + 94242482, + 57789626 + ], + [ + 58972542, + 42952542 + ], + [ + 22762483, + 25488606 + ], + [ + 8727487, + 32337223 + ], + [ + 45344885, + 89724129 + ], + [ + 16180210, + 41106589 + ], + [ + 68222303, + 79451349 + ], + [ + 47301400, + 511177 + ], + [ + 37593854, + 59049276 + ], + [ + 65639180, + 65994972 + ], + [ + 48147960, + 84817094 + ], + [ + 69229610, + 68579181 + ], + [ + 83349892, + 61746480 + ], + [ + 81287405, + 79787979 + ], + [ + 28237, + 48229625 + ], + [ + 68955468, + 39126126 + ], + [ + 80956488, + 12092384 + ], + [ + 7171926, + 96841013 + ], + [ + 65600634, + 26159251 + ], + [ + 10594466, + 31518347 + ], + [ + 92984087, + 84261030 + ], + [ + 25695887, + 31718531 + ], + [ + 22619370, + 20704333 + ], + [ + 62321927, + 12595065 + ], + [ + 90134989, + 75757881 + ], + [ + 31647818, + 12360353 + ], + [ + 88959255, + 96578987 + ], + [ + 74283799, + 47443222 + ], + [ + 31884935, + 99398337 + ], + [ + 50438248, + 91751391 + ], + [ + 49210460, + 81657052 + ], + [ + 71813344, + 39478853 + ], + [ + 91976415, + 44164034 + ], + [ + 62530460, + 35702275 + ], + [ + 62380385, + 31080968 + ], + [ + 48218385, + 67558839 + ], + [ + 25828936, + 40299519 + ], + [ + 87005060, + 71072496 + ], + [ + 34939060, + 43045358 + ], + [ + 71246515, + 19602549 + ], + [ + 17989414, + 95847455 + ], + [ + 5340272, + 32848304 + ], + [ + 87696429, + 31018759 + ], + [ + 72091679, + 17369185 + ], + [ + 50288897, + 25431029 + ], + [ + 85338770, + 67719956 + ], + [ + 78391254, + 43762397 + ], + [ + 35532325, + 98843738 + ], + [ + 37752597, + 81261280 + ], + [ + 7276630, + 16824582 + ], + [ + 24929549, + 16169386 + ], + [ + 40737223, + 71313366 + ], + [ + 79809125, + 10622049 + ], + [ + 43767036, + 65357883 + ], + [ + 54772370, + 32104935 + ], + [ + 58851955, + 78160249 + ], + [ + 50995073, + 56342412 + ], + [ + 48886365, + 37785355 + ], + [ + 78703258, + 38471274 + ], + [ + 66420345, + 9482536 + ], + [ + 82298724, + 70062343 + ], + [ + 27035691, + 26582965 + ], + [ + 41269916, + 14992008 + ], + [ + 86761715, + 78742686 + ], + [ + 43577829, + 74776632 + ], + [ + 40694892, + 89961707 + ], + [ + 9960933, + 54299555 + ], + [ + 56177301, + 94022681 + ], + [ + 6004767, + 73562778 + ], + [ + 69030478, + 60674123 + ], + [ + 93697139, + 92063641 + ], + [ + 27604047, + 82340298 + ], + [ + 48091779, + 1722834 + ], + [ + 73089848, + 13107170 + ], + [ + 42802796, + 12419769 + ], + [ + 49828340, + 2515153 + ], + [ + 54790310, + 27898866 + ], + [ + 96575438, + 13517529 + ], + [ + 88616096, + 44964454 + ], + [ + 67440892, + 27630467 + ], + [ + 91147439, + 33160582 + ], + [ + 67899363, + 54406301 + ], + [ + 44492251, + 51736363 + ], + [ + 90456842, + 48883813 + ], + [ + 86327922, + 78022656 + ], + [ + 67777627, + 45218266 + ], + [ + 41956175, + 12761564 + ], + [ + 39765655, + 1319261 + ], + [ + 11884755, + 78643577 + ], + [ + 80596612, + 75976084 + ], + [ + 64829002, + 72555301 + ], + [ + 68598535, + 98532991 + ], + [ + 99898792, + 95719381 + ], + [ + 27654399, + 75794168 + ], + [ + 65518896, + 56263368 + ], + [ + 65621299, + 64210514 + ], + [ + 47648927, + 34427139 + ], + [ + 99691934, + 74283917 + ], + [ + 74645859, + 95283877 + ], + [ + 31193113, + 97618138 + ], + [ + 38540567, + 5524615 + ], + [ + 67532905, + 29913036 + ], + [ + 45054095, + 32511329 + ], + [ + 6611696, + 57528753 + ], + [ + 98225680, + 30125888 + ], + [ + 87489987, + 23561915 + ], + [ + 13213868, + 20165368 + ], + [ + 30800577, + 47890537 + ], + [ + 8718919, + 98422843 + ], + [ + 18735920, + 40148118 + ], + [ + 64668730, + 23246417 + ], + [ + 48820319, + 85583540 + ], + [ + 99214578, + 47798978 + ], + [ + 6240139, + 17982605 + ], + [ + 63282139, + 81359086 + ], + [ + 82139672, + 78810534 + ], + [ + 63784527, + 86309808 + ], + [ + 91207429, + 64969394 + ], + [ + 62129706, + 72943896 + ], + [ + 68186125, + 8663790 + ], + [ + 95537555, + 15954310 + ], + [ + 266548, + 82816969 + ], + [ + 3784600, + 15852141 + ], + [ + 99967185, + 60226517 + ], + [ + 80652381, + 80109501 + ], + [ + 59915063, + 74642176 + ], + [ + 61468633, + 30040431 + ], + [ + 15658706, + 42885775 + ], + [ + 95102912, + 29493951 + ], + [ + 75553216, + 39302260 + ], + [ + 79899883, + 68067665 + ], + [ + 25820520, + 19477438 + ], + [ + 98964783, + 4973579 + ], + [ + 68481890, + 98668637 + ], + [ + 84074983, + 50570046 + ], + [ + 25930370, + 64382475 + ], + [ + 62253560, + 36511793 + ], + [ + 90706909, + 20062787 + ], + [ + 42347657, + 42968218 + ], + [ + 36748045, + 39362303 + ], + [ + 69563392, + 25361055 + ], + [ + 25856539, + 69013522 + ], + [ + 97363181, + 57590537 + ], + [ + 35342483, + 9664142 + ], + [ + 70153028, + 19918891 + ], + [ + 77382774, + 54277752 + ], + [ + 54294205, + 29538795 + ], + [ + 6251737, + 83036373 + ], + [ + 83556159, + 99040017 + ], + [ + 95851202, + 68208640 + ], + [ + 22844035, + 5353392 + ], + [ + 63511119, + 19435731 + ], + [ + 93908458, + 81306008 + ], + [ + 34550802, + 15404236 + ], + [ + 99546289, + 29139978 + ], + [ + 10502483, + 84790230 + ], + [ + 92199857, + 88601027 + ], + [ + 37631269, + 7271762 + ], + [ + 96693114, + 72557889 + ], + [ + 27711511, + 53702719 + ], + [ + 62731140, + 92410196 + ], + [ + 21400665, + 33825241 + ], + [ + 33004308, + 58675888 + ], + [ + 13916370, + 14107161 + ], + [ + 28953196, + 75327417 + ], + [ + 19313123, + 90062798 + ], + [ + 57658854, + 76884127 + ], + [ + 89913046, + 90269614 + ], + [ + 25158591, + 12290559 + ], + [ + 86497213, + 45365601 + ], + [ + 80173178, + 4887989 + ], + [ + 59801943, + 30841965 + ], + [ + 49492107, + 53038829 + ], + [ + 51538545, + 89842192 + ], + [ + 71869745, + 52869084 + ], + [ + 70292804, + 96485748 + ], + [ + 55001951, + 50879285 + ], + [ + 62904493, + 92968233 + ], + [ + 41439884, + 1761010 + ], + [ + 52727335, + 24534436 + ], + [ + 324273, + 93248467 + ], + [ + 73618603, + 68279793 + ], + [ + 37527286, + 82103990 + ], + [ + 50223020, + 42966082 + ], + [ + 83164561, + 70564983 + ], + [ + 70224245, + 92624537 + ], + [ + 33336661, + 16327017 + ], + [ + 91286117, + 44880262 + ], + [ + 84910281, + 90526789 + ], + [ + 6721445, + 94162418 + ], + [ + 38481552, + 47398594 + ], + [ + 66445382, + 37243636 + ], + [ + 90759643, + 78098485 + ], + [ + 52395280, + 39296987 + ], + [ + 65414064, + 86357995 + ], + [ + 40582494, + 37628075 + ], + [ + 86685377, + 31687837 + ], + [ + 39983525, + 19724766 + ], + [ + 31449825, + 93138851 + ], + [ + 66107681, + 22824888 + ], + [ + 81410982, + 21953529 + ], + [ + 44218171, + 50859585 + ], + [ + 8338414, + 38958120 + ], + [ + 6669028, + 48638106 + ], + [ + 18807358, + 41865257 + ], + [ + 23798295, + 3554163 + ], + [ + 86318263, + 72661126 + ], + [ + 21881701, + 94922996 + ], + [ + 21483834, + 92768848 + ], + [ + 8179122, + 44277024 + ], + [ + 59431776, + 7592415 + ], + [ + 31736363, + 82138950 + ], + [ + 6855067, + 37196535 + ], + [ + 38235997, + 57930279 + ], + [ + 21633559, + 30522000 + ], + [ + 90414833, + 4620603 + ], + [ + 39458734, + 38212629 + ], + [ + 47663846, + 23927249 + ], + [ + 12379896, + 5200723 + ], + [ + 68149456, + 26950139 + ], + [ + 63091172, + 1409899 + ], + [ + 12651713, + 92619012 + ], + [ + 65944944, + 4133014 + ], + [ + 6396098, + 75223971 + ], + [ + 98300083, + 44146473 + ], + [ + 15098559, + 25788655 + ], + [ + 99675151, + 73072514 + ], + [ + 45932601, + 69021513 + ], + [ + 85908263, + 26727023 + ], + [ + 17679079, + 43104921 + ], + [ + 73914092, + 26310564 + ], + [ + 11406647, + 13600501 + ], + [ + 40238370, + 9799793 + ], + [ + 33039822, + 70459205 + ], + [ + 64912360, + 70525261 + ], + [ + 88821861, + 24090618 + ], + [ + 61056892, + 39667545 + ], + [ + 58827016, + 62580476 + ], + [ + 30903724, + 74207580 + ], + [ + 42546017, + 39864914 + ], + [ + 28410787, + 43522744 + ], + [ + 39584601, + 61685251 + ], + [ + 81236046, + 19815348 + ], + [ + 85470085, + 75247506 + ], + [ + 13716992, + 42196235 + ], + [ + 48807151, + 55537225 + ], + [ + 85003404, + 4202520 + ], + [ + 25958887, + 18620239 + ], + [ + 40711769, + 66733467 + ], + [ + 45779946, + 83315576 + ], + [ + 93048400, + 79735018 + ], + [ + 80225163, + 91562068 + ], + [ + 55512984, + 99656594 + ], + [ + 55150042, + 45270299 + ], + [ + 30883482, + 15382978 + ], + [ + 24180380, + 10924778 + ], + [ + 33411504, + 11736166 + ], + [ + 33853197, + 52139155 + ], + [ + 46236395, + 8605741 + ], + [ + 90648658, + 95358398 + ], + [ + 40838208, + 14589166 + ], + [ + 96933332, + 6419646 + ], + [ + 57167210, + 47515915 + ], + [ + 61387311, + 5331366 + ], + [ + 1341383, + 93129595 + ], + [ + 80626641, + 29695316 + ], + [ + 78789096, + 84525770 + ], + [ + 27386864, + 26066904 + ], + [ + 81621008, + 10535474 + ], + [ + 45614467, + 82542831 + ], + [ + 6349128, + 65741363 + ], + [ + 59486291, + 8149692 + ], + [ + 29814363, + 10656594 + ], + [ + 2303022, + 7681090 + ], + [ + 76590331, + 14538607 + ], + [ + 94349910, + 70645392 + ], + [ + 91083799, + 69472944 + ], + [ + 12215432, + 22400330 + ], + [ + 4326929, + 23538237 + ], + [ + 57698278, + 41330070 + ], + [ + 61168214, + 68790275 + ], + [ + 64791026, + 33827323 + ], + [ + 48459124, + 12363246 + ], + [ + 58464272, + 43529975 + ], + [ + 29158322, + 25919163 + ], + [ + 83636780, + 93634715 + ], + [ + 10208563, + 32577293 + ], + [ + 33226872, + 80260003 + ], + [ + 9809232, + 32200523 + ], + [ + 44135224, + 58275410 + ], + [ + 90701905, + 38499118 + ], + [ + 37288762, + 25051868 + ], + [ + 31095152, + 71033968 + ], + [ + 52343946, + 68674832 + ], + [ + 58129630, + 15252201 + ], + [ + 72865404, + 87494526 + ], + [ + 15163259, + 68813073 + ], + [ + 79856523, + 49449870 + ], + [ + 33501774, + 82661230 + ], + [ + 81960981, + 17808994 + ], + [ + 21134881, + 46321171 + ], + [ + 46598657, + 91196286 + ], + [ + 47832268, + 63087012 + ], + [ + 92440271, + 795860 + ], + [ + 77335554, + 39899706 + ], + [ + 79114674, + 15409092 + ], + [ + 69713785, + 34862144 + ], + [ + 69597494, + 73984724 + ], + [ + 48663006, + 18758439 + ], + [ + 67254011, + 64492288 + ], + [ + 82858269, + 83998877 + ], + [ + 29273612, + 17797881 + ], + [ + 7123004, + 9612055 + ], + [ + 18674762, + 36941878 + ], + [ + 70634337, + 80409677 + ], + [ + 91502201, + 40322842 + ], + [ + 86846125, + 61559190 + ], + [ + 72011363, + 77213752 + ], + [ + 34859491, + 44379003 + ], + [ + 49949869, + 9889509 + ], + [ + 89376035, + 97253353 + ], + [ + 63297499, + 90034096 + ], + [ + 66512235, + 20595164 + ], + [ + 63311612, + 36227807 + ], + [ + 6490927, + 30530502 + ], + [ + 56642148, + 88172829 + ], + [ + 27598125, + 93674430 + ], + [ + 28428955, + 85536127 + ], + [ + 88948177, + 10436186 + ], + [ + 21070900, + 7582726 + ], + [ + 94200077, + 70547261 + ], + [ + 43936005, + 42990114 + ], + [ + 89108155, + 77459365 + ], + [ + 61951965, + 59179449 + ], + [ + 32340891, + 77012622 + ], + [ + 95662828, + 82496822 + ], + [ + 50844291, + 96767640 + ], + [ + 2198164, + 17686971 + ], + [ + 56842384, + 6057142 + ], + [ + 83983349, + 64625044 + ], + [ + 4912340, + 59012791 + ], + [ + 66385750, + 86435748 + ], + [ + 23860158, + 86783321 + ], + [ + 30222005, + 56384574 + ], + [ + 59242029, + 35344040 + ], + [ + 48491564, + 54358021 + ], + [ + 72178539, + 612107 + ], + [ + 39028805, + 3781658 + ], + [ + 25467625, + 28973045 + ], + [ + 96043376, + 21937430 + ], + [ + 16482155, + 43726235 + ], + [ + 9812195, + 96308318 + ], + [ + 9451637, + 50675675 + ], + [ + 25898759, + 17315356 + ], + [ + 29890919, + 4212765 + ], + [ + 58657479, + 6982839 + ], + [ + 50066455, + 11544833 + ], + [ + 20020070, + 98393189 + ], + [ + 78864582, + 8759077 + ], + [ + 18178220, + 92380259 + ], + [ + 89702070, + 5096240 + ], + [ + 29127265, + 63571045 + ], + [ + 68757108, + 19450418 + ], + [ + 53665219, + 39949457 + ], + [ + 12653193, + 21154410 + ], + [ + 32530852, + 15686399 + ], + [ + 67746223, + 7497977 + ], + [ + 49127953, + 46220206 + ], + [ + 41826, + 75654139 + ], + [ + 55268676, + 14926118 + ], + [ + 73088551, + 7298028 + ], + [ + 67699467, + 24199483 + ], + [ + 64093568, + 54780179 + ], + [ + 58894252, + 95130738 + ], + [ + 51059292, + 40677704 + ], + [ + 9987246, + 88581679 + ], + [ + 62388874, + 65846950 + ], + [ + 28270390, + 12137830 + ], + [ + 54505778, + 14379474 + ], + [ + 39604721, + 28467577 + ], + [ + 11283035, + 72457297 + ], + [ + 69006512, + 37798231 + ], + [ + 49341068, + 79491392 + ], + [ + 20653951, + 10871530 + ], + [ + 24926058, + 9694631 + ], + [ + 55077906, + 52276037 + ], + [ + 58211339, + 6146616 + ], + [ + 7236765, + 51263883 + ], + [ + 89716128, + 71906430 + ], + [ + 27766082, + 89631178 + ], + [ + 11903109, + 12804360 + ], + [ + 2408943, + 1379265 + ], + [ + 96089709, + 86109637 + ], + [ + 61916563, + 58124112 + ], + [ + 23068459, + 19771997 + ], + [ + 12457643, + 9472088 + ], + [ + 80867305, + 58266256 + ], + [ + 19942118, + 67071896 + ], + [ + 4366108, + 54490582 + ], + [ + 1239745, + 12374904 + ], + [ + 69389907, + 39698503 + ], + [ + 4579322, + 59239136 + ], + [ + 65839577, + 92823829 + ], + [ + 9419050, + 92509870 + ], + [ + 59598728, + 33969053 + ], + [ + 58038592, + 45802186 + ], + [ + 29732144, + 44796071 + ], + [ + 71997051, + 52118204 + ], + [ + 42479115, + 16862690 + ], + [ + 35654355, + 80937911 + ], + [ + 13636487, + 90107037 + ], + [ + 58709087, + 62351411 + ], + [ + 56474650, + 57425754 + ], + [ + 73356302, + 69664618 + ], + [ + 79443580, + 84930408 + ], + [ + 76808979, + 65961618 + ], + [ + 39997971, + 89722872 + ], + [ + 82211095, + 77960201 + ], + [ + 71010919, + 59620264 + ], + [ + 73835867, + 4652931 + ], + [ + 82273853, + 59675214 + ], + [ + 46534936, + 56726303 + ], + [ + 99724751, + 43771437 + ], + [ + 96245428, + 9702812 + ], + [ + 87994520, + 48387247 + ], + [ + 11550719, + 19009330 + ], + [ + 95055682, + 40120688 + ], + [ + 46996655, + 18543814 + ], + [ + 47434892, + 35033706 + ], + [ + 65078380, + 48663623 + ], + [ + 75773044, + 20123344 + ], + [ + 98277013, + 86697428 + ], + [ + 77626951, + 82782781 + ], + [ + 9536037, + 31135117 + ], + [ + 29299270, + 73320975 + ], + [ + 56420207, + 10146814 + ], + [ + 69195302, + 59737122 + ], + [ + 34014454, + 63133930 + ], + [ + 86026470, + 521368 + ], + [ + 67712259, + 53527631 + ], + [ + 50565393, + 27390445 + ], + [ + 57794295, + 76879016 + ], + [ + 17883, + 71992500 + ], + [ + 62813587, + 44580886 + ], + [ + 35918413, + 73070488 + ], + [ + 24391753, + 98388672 + ], + [ + 36693768, + 39340273 + ], + [ + 54184173, + 54172781 + ], + [ + 69113693, + 81403442 + ], + [ + 10070925, + 22663237 + ], + [ + 80928270, + 63586091 + ], + [ + 63760338, + 60244035 + ], + [ + 39837074, + 12108038 + ], + [ + 2997661, + 24807745 + ], + [ + 79366356, + 39368122 + ], + [ + 81352759, + 73704146 + ], + [ + 60255780, + 41942934 + ], + [ + 7154551, + 32744410 + ], + [ + 68723411, + 9412104 + ], + [ + 56512917, + 30256711 + ], + [ + 82403949, + 16044519 + ], + [ + 86680025, + 45631412 + ], + [ + 74316806, + 2300519 + ], + [ + 19533300, + 20177713 + ], + [ + 86860392, + 34888305 + ], + [ + 61003820, + 21773237 + ], + [ + 17755327, + 50825352 + ], + [ + 25766986, + 6978828 + ], + [ + 2523041, + 17889162 + ], + [ + 82325448, + 78317063 + ], + [ + 93802068, + 15738041 + ], + [ + 46734566, + 20481829 + ], + [ + 70293914, + 1571960 + ], + [ + 38772257, + 29758284 + ], + [ + 90130482, + 34447023 + ], + [ + 73554256, + 44915775 + ], + [ + 65419659, + 44569209 + ], + [ + 64497439, + 10125822 + ], + [ + 24950998, + 81368282 + ], + [ + 12189828, + 91210888 + ], + [ + 52425527, + 55825076 + ], + [ + 83995040, + 2457443 + ], + [ + 38713604, + 47426558 + ], + [ + 90577572, + 15039184 + ], + [ + 86963570, + 19348356 + ], + [ + 21497052, + 50758693 + ], + [ + 58628712, + 50661594 + ], + [ + 80174184, + 95331143 + ], + [ + 86034600, + 68533879 + ], + [ + 89002681, + 66407159 + ], + [ + 30163699, + 85556820 + ], + [ + 15873388, + 69542105 + ], + [ + 96940946, + 26765034 + ], + [ + 88761033, + 2739786 + ], + [ + 1748663, + 93310177 + ], + [ + 61241395, + 9101898 + ], + [ + 97674663, + 9018453 + ], + [ + 49502595, + 24709246 + ], + [ + 7591673, + 23318961 + ], + [ + 14961967, + 94986375 + ], + [ + 6743409, + 71585564 + ], + [ + 17223190, + 41230876 + ], + [ + 47534935, + 51355823 + ], + [ + 18282701, + 93610907 + ], + [ + 57257706, + 43475186 + ], + [ + 92008842, + 1112953 + ], + [ + 82085536, + 42298441 + ], + [ + 89750283, + 90701224 + ], + [ + 50274466, + 92532573 + ], + [ + 82781593, + 78666327 + ], + [ + 61827437, + 95877197 + ], + [ + 39794116, + 73911581 + ], + [ + 93595594, + 75396748 + ], + [ + 95411269, + 11532333 + ], + [ + 56491723, + 54095775 + ], + [ + 47928019, + 15466909 + ], + [ + 42916706, + 89057219 + ], + [ + 35882811, + 8746245 + ], + [ + 31806537, + 13707080 + ], + [ + 80200493, + 72418694 + ], + [ + 57772748, + 45542817 + ], + [ + 81937868, + 79493854 + ], + [ + 92155388, + 11310129 + ], + [ + 35771898, + 9482516 + ], + [ + 43346933, + 24503894 + ], + [ + 68632234, + 29092003 + ], + [ + 77953661, + 8147596 + ], + [ + 22235246, + 1858070 + ], + [ + 46800620, + 11482248 + ], + [ + 64980368, + 51047305 + ], + [ + 37615679, + 27859561 + ], + [ + 54441351, + 64985769 + ], + [ + 25235788, + 15457920 + ], + [ + 90783375, + 82860804 + ], + [ + 53688344, + 66448955 + ], + [ + 26214360, + 20469725 + ], + [ + 64727659, + 85867534 + ], + [ + 77994116, + 30601093 + ], + [ + 40417040, + 78605406 + ], + [ + 61391409, + 24955619 + ], + [ + 58991684, + 7051521 + ], + [ + 46148549, + 84733026 + ], + [ + 51951688, + 68452270 + ], + [ + 25020342, + 90236033 + ], + [ + 25700366, + 92364909 + ], + [ + 50800591, + 88824458 + ], + [ + 10406279, + 22687017 + ], + [ + 45530178, + 96377530 + ], + [ + 67408313, + 1916860 + ], + [ + 14114355, + 51825283 + ], + [ + 13017220, + 62332499 + ], + [ + 19395718, + 3523819 + ], + [ + 55249130, + 71633002 + ], + [ + 6103642, + 9156250 + ], + [ + 99254515, + 86617387 + ], + [ + 87746666, + 51691054 + ], + [ + 13311192, + 52807415 + ], + [ + 56745350, + 43875947 + ], + [ + 11620278, + 45985256 + ], + [ + 96674359, + 18693409 + ], + [ + 49061850, + 72797633 + ], + [ + 35136460, + 91849696 + ], + [ + 80684659, + 21348730 + ], + [ + 5117463, + 47497243 + ], + [ + 39628294, + 31516678 + ], + [ + 65611825, + 3803389 + ], + [ + 56648134, + 21690152 + ], + [ + 109797, + 92813859 + ], + [ + 91252949, + 404886 + ], + [ + 11800216, + 1169693 + ], + [ + 26550061, + 50389263 + ], + [ + 82553036, + 23291186 + ], + [ + 49326164, + 35363278 + ], + [ + 70156007, + 25710785 + ], + [ + 24004270, + 45814422 + ], + [ + 98592969, + 66642247 + ], + [ + 95738089, + 51393819 + ], + [ + 86944887, + 98363672 + ], + [ + 31568404, + 35475967 + ], + [ + 66865245, + 54928371 + ], + [ + 82271298, + 76153215 + ], + [ + 76933105, + 65812488 + ], + [ + 92448479, + 72310479 + ], + [ + 2878849, + 79692782 + ], + [ + 50739484, + 91452551 + ], + [ + 61888577, + 15929098 + ], + [ + 81673453, + 42314381 + ], + [ + 95340934, + 66339078 + ], + [ + 57782696, + 23001404 + ], + [ + 45653619, + 99504162 + ], + [ + 95326399, + 18180623 + ], + [ + 69481441, + 99533238 + ], + [ + 42040009, + 67458318 + ], + [ + 29340451, + 55216647 + ], + [ + 13496082, + 3215226 + ], + [ + 78541328, + 78958309 + ], + [ + 77295299, + 96258578 + ], + [ + 38578472, + 84913693 + ], + [ + 80565472, + 87992443 + ], + [ + 78585059, + 36473165 + ], + [ + 8807467, + 21327330 + ], + [ + 6417537, + 24108661 + ], + [ + 86796885, + 41770392 + ], + [ + 8662477, + 13491306 + ], + [ + 49154347, + 11053637 + ], + [ + 25732401, + 99865440 + ], + [ + 54503182, + 69378578 + ], + [ + 79173571, + 66012292 + ], + [ + 40126341, + 92812777 + ], + [ + 79980671, + 48802904 + ], + [ + 95039295, + 32532304 + ], + [ + 89308648, + 76960310 + ], + [ + 65218665, + 83698743 + ], + [ + 81557607, + 28419462 + ], + [ + 86435631, + 62769359 + ], + [ + 12550464, + 85703323 + ], + [ + 34180101, + 63940427 + ], + [ + 38713027, + 34635142 + ], + [ + 21544222, + 67197057 + ], + [ + 50754789, + 15263662 + ], + [ + 78862984, + 77134663 + ], + [ + 90606532, + 34242252 + ], + [ + 56283919, + 83476455 + ], + [ + 67161408, + 72028755 + ], + [ + 46147611, + 37238494 + ], + [ + 20560974, + 45655612 + ], + [ + 71719359, + 62839924 + ], + [ + 31893032, + 722541 + ], + [ + 16309717, + 75750175 + ], + [ + 66528739, + 5408679 + ], + [ + 25711378, + 10831848 + ], + [ + 88744557, + 13738513 + ], + [ + 60061896, + 51367423 + ], + [ + 63729588, + 94370759 + ], + [ + 98515779, + 79718840 + ], + [ + 61472234, + 63147832 + ], + [ + 93726686, + 52692991 + ], + [ + 84238066, + 26296611 + ], + [ + 13396354, + 93415573 + ], + [ + 29000457, + 96950045 + ], + [ + 70089616, + 94358610 + ], + [ + 48028726, + 1701140 + ], + [ + 25355026, + 41661456 + ], + [ + 95370164, + 15908877 + ], + [ + 48291335, + 98492962 + ], + [ + 82579684, + 27320282 + ], + [ + 89006786, + 36108382 + ], + [ + 33264336, + 36918914 + ], + [ + 77703348, + 59243288 + ], + [ + 34122028, + 79916647 + ], + [ + 41922742, + 71950250 + ], + [ + 69885122, + 29619673 + ], + [ + 93270494, + 59559148 + ], + [ + 61857431, + 56094470 + ], + [ + 69074004, + 3208554 + ], + [ + 42052815, + 76964013 + ], + [ + 11504251, + 95610465 + ], + [ + 71492752, + 32951484 + ], + [ + 32146391, + 80098560 + ], + [ + 57989908, + 32473047 + ], + [ + 40086023, + 24966356 + ], + [ + 17488707, + 64599788 + ], + [ + 78799731, + 60822955 + ], + [ + 53113748, + 68603988 + ], + [ + 65804084, + 98611524 + ], + [ + 74917181, + 61987479 + ], + [ + 26822474, + 57517836 + ], + [ + 41236984, + 81899098 + ], + [ + 59125600, + 50915224 + ], + [ + 36986352, + 9337206 + ], + [ + 56178129, + 9793662 + ], + [ + 69389179, + 73628482 + ], + [ + 4240447, + 57525398 + ], + [ + 43137842, + 98349615 + ], + [ + 23099498, + 36489036 + ], + [ + 92926448, + 21584171 + ], + [ + 27894646, + 52744144 + ], + [ + 60883953, + 45281426 + ], + [ + 249779, + 18797291 + ], + [ + 49746550, + 45782785 + ], + [ + 73140804, + 18324517 + ], + [ + 86544260, + 32438700 + ], + [ + 8800987, + 91178737 + ], + [ + 77876423, + 1325273 + ], + [ + 5410795, + 74138925 + ], + [ + 97227704, + 94063444 + ], + [ + 54234633, + 84883782 + ], + [ + 36455087, + 77285724 + ], + [ + 79865835, + 52843682 + ], + [ + 54214385, + 2690026 + ], + [ + 78725947, + 11722391 + ], + [ + 30162209, + 11538856 + ], + [ + 72556088, + 29387368 + ], + [ + 24806945, + 45518432 + ], + [ + 17360484, + 97371935 + ], + [ + 84902525, + 54844745 + ], + [ + 38967085, + 64112563 + ], + [ + 96777596, + 29912281 + ], + [ + 83574537, + 57199023 + ], + [ + 10974447, + 17296603 + ], + [ + 28466020, + 11611414 + ], + [ + 84065214, + 66443841 + ], + [ + 6219848, + 41889293 + ], + [ + 27611470, + 10904709 + ], + [ + 4050138, + 70393257 + ], + [ + 36751483, + 52866099 + ], + [ + 1441483, + 77059502 + ], + [ + 80622945, + 36422098 + ], + [ + 45968936, + 13078087 + ], + [ + 58842586, + 30083631 + ], + [ + 46000143, + 71120267 + ], + [ + 92420325, + 14095442 + ], + [ + 36138119, + 92228788 + ], + [ + 9506235, + 28475488 + ], + [ + 24180758, + 82063034 + ], + [ + 25760742, + 94687189 + ], + [ + 75696997, + 57431384 + ], + [ + 77311989, + 178572 + ], + [ + 17726296, + 77978358 + ], + [ + 58864982, + 75400552 + ], + [ + 1769773, + 94449517 + ], + [ + 67156490, + 18360966 + ], + [ + 17439749, + 71246803 + ], + [ + 93149738, + 6201565 + ], + [ + 56668574, + 47627125 + ], + [ + 12453273, + 15773452 + ], + [ + 57408748, + 20754658 + ], + [ + 91815682, + 9277427 + ], + [ + 13639783, + 80358654 + ], + [ + 80252584, + 13137244 + ], + [ + 39313571, + 94548323 + ], + [ + 93810668, + 66710992 + ], + [ + 27554065, + 47158489 + ], + [ + 56155722, + 40039159 + ], + [ + 30457237, + 54623451 + ], + [ + 41232684, + 99820071 + ], + [ + 61870595, + 80837787 + ], + [ + 51004482, + 87960271 + ], + [ + 83279140, + 53091891 + ], + [ + 39297584, + 48158705 + ], + [ + 98203193, + 51916886 + ], + [ + 17130435, + 95314168 + ], + [ + 1770055, + 52219207 + ], + [ + 46083061, + 67166802 + ], + [ + 9168995, + 33008647 + ], + [ + 56920571, + 85665405 + ], + [ + 92166781, + 64002058 + ], + [ + 17234049, + 62034059 + ], + [ + 41986839, + 50413872 + ], + [ + 14468866, + 55150285 + ], + [ + 78168075, + 78375051 + ], + [ + 24034112, + 51373875 + ], + [ + 41347017, + 30650876 + ], + [ + 1458510, + 39978274 + ], + [ + 65222070, + 35813641 + ], + [ + 84929709, + 61324569 + ], + [ + 47568922, + 54289043 + ], + [ + 37657026, + 65833472 + ], + [ + 76809359, + 19277560 + ], + [ + 29221199, + 39617888 + ], + [ + 63046120, + 46696591 + ], + [ + 49954763, + 79044840 + ], + [ + 25593690, + 26408433 + ], + [ + 79086874, + 80769613 + ], + [ + 14103625, + 85724242 + ], + [ + 27121377, + 2024060 + ], + [ + 20600922, + 27788136 + ], + [ + 67145071, + 13186787 + ], + [ + 69992836, + 19313762 + ], + [ + 6720448, + 31976739 + ], + [ + 48634132, + 71649024 + ], + [ + 30561786, + 80252593 + ], + [ + 53157535, + 53676186 + ], + [ + 74577554, + 79106600 + ], + [ + 49664305, + 70325933 + ], + [ + 60217219, + 4461297 + ], + [ + 28210688, + 36805039 + ], + [ + 82097037, + 78127690 + ], + [ + 13935965, + 29325530 + ], + [ + 20954676, + 91142958 + ], + [ + 41625397, + 51841225 + ], + [ + 28808700, + 23010430 + ], + [ + 46671808, + 85781010 + ], + [ + 6569940, + 2674245 + ], + [ + 18235040, + 79291733 + ], + [ + 65974180, + 33838897 + ], + [ + 68538399, + 30863703 + ], + [ + 55829136, + 88676910 + ], + [ + 71924690, + 31952511 + ], + [ + 15139001, + 61475449 + ], + [ + 21094270, + 68922298 + ], + [ + 40137875, + 2460251 + ], + [ + 45383103, + 1906342 + ], + [ + 36354509, + 93821177 + ], + [ + 70995134, + 13021512 + ], + [ + 21863371, + 63879715 + ], + [ + 89176058, + 9001582 + ], + [ + 47700857, + 66803254 + ], + [ + 79036748, + 5985064 + ], + [ + 36729560, + 53356717 + ], + [ + 18333054, + 11689501 + ], + [ + 88367717, + 41700287 + ], + [ + 33742317, + 23157815 + ], + [ + 79580642, + 4838996 + ], + [ + 23489084, + 1649934 + ], + [ + 69479634, + 29457208 + ], + [ + 47012902, + 89824230 + ], + [ + 88067182, + 88027471 + ], + [ + 67517592, + 30665068 + ], + [ + 69467796, + 39974922 + ], + [ + 98965353, + 97006424 + ], + [ + 73517811, + 68766078 + ], + [ + 30759081, + 37899313 + ], + [ + 2810948, + 43626314 + ], + [ + 80433385, + 37263006 + ], + [ + 10012994, + 93771281 + ], + [ + 63140498, + 20723203 + ], + [ + 42677635, + 93394746 + ], + [ + 58460147, + 45484559 + ], + [ + 54408990, + 93018958 + ], + [ + 17765838, + 47897952 + ], + [ + 96812387, + 65469183 + ], + [ + 8660055, + 18725771 + ], + [ + 12966287, + 66770087 + ], + [ + 70904182, + 87081153 + ], + [ + 52472418, + 65182148 + ], + [ + 54990355, + 57232407 + ], + [ + 48621093, + 49439573 + ], + [ + 78210849, + 65524431 + ], + [ + 33944066, + 40673646 + ], + [ + 42556116, + 9816674 + ], + [ + 87150032, + 44687359 + ], + [ + 61854998, + 64186380 + ], + [ + 31853023, + 85835600 + ], + [ + 46154721, + 48202239 + ], + [ + 19741526, + 96304314 + ], + [ + 3112847, + 14517315 + ], + [ + 98964171, + 8897537 + ], + [ + 80302896, + 94724640 + ], + [ + 97532716, + 87102653 + ], + [ + 64207072, + 55286396 + ], + [ + 30905500, + 6076780 + ], + [ + 96438572, + 3275709 + ], + [ + 26744882, + 88354304 + ], + [ + 67879793, + 35152595 + ], + [ + 83517781, + 20226590 + ], + [ + 98706331, + 70059216 + ], + [ + 27503164, + 39168012 + ], + [ + 51751071, + 3578609 + ], + [ + 97013299, + 12980674 + ], + [ + 76456778, + 19142304 + ], + [ + 42136265, + 78385252 + ], + [ + 12076191, + 75419098 + ], + [ + 72925349, + 35720363 + ], + [ + 94256003, + 86131851 + ], + [ + 32120735, + 75217657 + ], + [ + 60319293, + 69179390 + ], + [ + 85090312, + 46023244 + ], + [ + 9204862, + 58293318 + ], + [ + 73549935, + 15767887 + ], + [ + 61363065, + 87342122 + ], + [ + 193331, + 93211833 + ], + [ + 6895180, + 31922676 + ], + [ + 39367648, + 11007675 + ], + [ + 35182634, + 43972104 + ], + [ + 10037121, + 46320028 + ], + [ + 42282814, + 1778696 + ], + [ + 87698592, + 97851467 + ], + [ + 45190256, + 31819138 + ], + [ + 92431785, + 12393921 + ], + [ + 49770599, + 51753219 + ], + [ + 12321870, + 23648024 + ], + [ + 64820504, + 20932640 + ], + [ + 74155875, + 11836785 + ], + [ + 26757828, + 76973289 + ], + [ + 14573386, + 15689716 + ], + [ + 92178750, + 64739442 + ], + [ + 61097411, + 38674639 + ], + [ + 14276790, + 85488742 + ], + [ + 4358144, + 58153200 + ], + [ + 605907, + 27618805 + ], + [ + 50237228, + 96512282 + ], + [ + 42137646, + 97274004 + ], + [ + 78671020, + 57898127 + ], + [ + 25564181, + 98917754 + ], + [ + 98911427, + 53669505 + ], + [ + 82494009, + 71377275 + ], + [ + 93172912, + 37723649 + ], + [ + 83727542, + 17614426 + ], + [ + 67419140, + 92286388 + ], + [ + 62756934, + 14428925 + ], + [ + 75414599, + 33234808 + ], + [ + 8689671, + 21855739 + ], + [ + 84749973, + 59410512 + ], + [ + 87268169, + 35196895 + ], + [ + 17870926, + 88693868 + ], + [ + 56570381, + 28407788 + ], + [ + 56421045, + 63070588 + ], + [ + 1936262, + 54187024 + ], + [ + 39392341, + 56790806 + ], + [ + 93121526, + 63710002 + ], + [ + 65093499, + 73973603 + ], + [ + 84663175, + 28929279 + ], + [ + 86347574, + 72450630 + ], + [ + 1771288, + 17333274 + ], + [ + 10034835, + 72609685 + ], + [ + 73336115, + 80237446 + ], + [ + 40431151, + 34850028 + ], + [ + 17144496, + 99730043 + ], + [ + 68677319, + 16956103 + ], + [ + 59596774, + 88949788 + ], + [ + 40265026, + 76390033 + ], + [ + 25043078, + 51005989 + ], + [ + 41516442, + 60823686 + ], + [ + 12663717, + 8056941 + ], + [ + 17261355, + 64759272 + ], + [ + 5655481, + 20252516 + ], + [ + 92194104, + 21918290 + ], + [ + 38881210, + 46054621 + ], + [ + 85876609, + 47742005 + ], + [ + 82667062, + 99524377 + ], + [ + 25362283, + 9531791 + ], + [ + 40715100, + 50680408 + ], + [ + 91097928, + 87716506 + ], + [ + 94511013, + 92203238 + ], + [ + 45176617, + 44521517 + ], + [ + 96621658, + 10105549 + ], + [ + 46812477, + 5012254 + ], + [ + 31296420, + 42160186 + ], + [ + 29209420, + 2808315 + ], + [ + 10041655, + 94058733 + ], + [ + 61563548, + 61050279 + ], + [ + 77819552, + 79968310 + ], + [ + 70133490, + 68620154 + ], + [ + 56569322, + 35090275 + ], + [ + 87485831, + 43610531 + ], + [ + 6384573, + 64601131 + ], + [ + 85017147, + 92050997 + ], + [ + 10480088, + 67748561 + ], + [ + 51677993, + 49241376 + ], + [ + 33184368, + 83132579 + ], + [ + 45879676, + 52964121 + ], + [ + 9600768, + 26898390 + ], + [ + 10276765, + 5492271 + ], + [ + 20653704, + 92114218 + ], + [ + 87097558, + 39686395 + ], + [ + 53614605, + 80835876 + ], + [ + 73823846, + 49640606 + ], + [ + 28953270, + 75359658 + ], + [ + 1421841, + 41018606 + ], + [ + 77992688, + 3810922 + ], + [ + 57991960, + 64078964 + ], + [ + 29332544, + 6143565 + ], + [ + 67495927, + 16406233 + ], + [ + 86106352, + 54137536 + ], + [ + 77643378, + 35187051 + ], + [ + 42410396, + 67257862 + ], + [ + 91099869, + 16284467 + ], + [ + 37587114, + 71459639 + ], + [ + 52819447, + 16953572 + ], + [ + 56507066, + 38597081 + ], + [ + 59564453, + 76749439 + ], + [ + 3137447, + 27349968 + ], + [ + 79122362, + 85031729 + ], + [ + 6854450, + 7604101 + ], + [ + 71166254, + 22617360 + ], + [ + 49868416, + 75251778 + ], + [ + 70796035, + 96053239 + ], + [ + 31035395, + 55377757 + ], + [ + 97365570, + 93531058 + ], + [ + 91170582, + 1909001 + ], + [ + 33223506, + 37426559 + ], + [ + 76414468, + 66918539 + ], + [ + 82644165, + 8992471 + ], + [ + 8719654, + 81534218 + ], + [ + 14199727, + 69834702 + ], + [ + 48291591, + 89412202 + ], + [ + 35040018, + 72407128 + ], + [ + 19902420, + 70145739 + ], + [ + 20589291, + 89901640 + ], + [ + 10443602, + 20694733 + ], + [ + 35414492, + 36456111 + ], + [ + 41135291, + 89491825 + ], + [ + 324566, + 51623298 + ], + [ + 65485847, + 78558867 + ], + [ + 19287592, + 47424058 + ], + [ + 98821154, + 73977822 + ], + [ + 5310021, + 97074730 + ], + [ + 10831755, + 31926716 + ], + [ + 55947871, + 77756875 + ], + [ + 92773464, + 12411087 + ], + [ + 31906029, + 45318775 + ], + [ + 14093589, + 23178081 + ], + [ + 1972455, + 70239138 + ], + [ + 73908900, + 94399460 + ], + [ + 94391777, + 72964255 + ], + [ + 9091375, + 57518140 + ], + [ + 22860498, + 5451016 + ], + [ + 75170712, + 28769604 + ], + [ + 64330184, + 39942985 + ], + [ + 82255538, + 65231056 + ], + [ + 99014329, + 86935662 + ], + [ + 11000464, + 1535047 + ], + [ + 70541840, + 58139646 + ], + [ + 30645023, + 29823955 + ], + [ + 37451169, + 32552881 + ], + [ + 38696398, + 50183426 + ], + [ + 36030840, + 33584243 + ], + [ + 30026188, + 51954055 + ], + [ + 93404769, + 12321188 + ], + [ + 4363889, + 30292205 + ], + [ + 92434730, + 58063571 + ], + [ + 93067739, + 89604924 + ], + [ + 91449254, + 51635535 + ], + [ + 16199989, + 83355607 + ], + [ + 98687428, + 86293622 + ], + [ + 39396490, + 65933389 + ], + [ + 6521402, + 92453025 + ], + [ + 13421784, + 97059725 + ], + [ + 22475358, + 14414491 + ], + [ + 26425567, + 47963863 + ], + [ + 31386148, + 70833282 + ], + [ + 7611156, + 73326047 + ], + [ + 28845162, + 15738230 + ], + [ + 30597474, + 66796641 + ], + [ + 18095439, + 7207925 + ], + [ + 73548904, + 95220082 + ], + [ + 58693316, + 9828728 + ], + [ + 6245649, + 56927149 + ], + [ + 98093571, + 64098048 + ], + [ + 80707550, + 64244696 + ], + [ + 15019586, + 32956396 + ], + [ + 89740179, + 9268168 + ], + [ + 41574064, + 56963614 + ], + [ + 12899714, + 99255732 + ], + [ + 91474069, + 9056090 + ], + [ + 49925561, + 95206055 + ], + [ + 2509953, + 98158945 + ], + [ + 93260168, + 24430483 + ], + [ + 90282526, + 13010232 + ], + [ + 38431240, + 18927107 + ], + [ + 52511978, + 48556921 + ], + [ + 28337351, + 32980546 + ], + [ + 54129065, + 97390922 + ], + [ + 28165360, + 32507746 + ], + [ + 59533593, + 11898501 + ], + [ + 4977515, + 34864448 + ], + [ + 7337792, + 9539435 + ], + [ + 76665597, + 84306563 + ], + [ + 27335237, + 50153298 + ], + [ + 57493074, + 66079552 + ], + [ + 3748257, + 31388642 + ], + [ + 87981354, + 64721309 + ], + [ + 18554264, + 72853702 + ], + [ + 6890671, + 68532217 + ], + [ + 41424118, + 20925722 + ], + [ + 64749749, + 89708542 + ], + [ + 70920893, + 11806860 + ], + [ + 905535, + 65327430 + ], + [ + 84318808, + 53660293 + ], + [ + 43322539, + 32593081 + ], + [ + 86037800, + 29573284 + ], + [ + 56514360, + 57887029 + ], + [ + 69134260, + 96141112 + ], + [ + 44259617, + 71159068 + ], + [ + 6301885, + 85358271 + ], + [ + 62233584, + 33262650 + ], + [ + 21043504, + 45354909 + ], + [ + 10043541, + 82021691 + ], + [ + 53524914, + 99779984 + ], + [ + 29307342, + 80561766 + ], + [ + 67881663, + 34844845 + ], + [ + 73769020, + 85161062 + ], + [ + 81323404, + 75707945 + ], + [ + 10027440, + 67018362 + ], + [ + 1408988, + 20748944 + ], + [ + 37459407, + 74093032 + ], + [ + 21486308, + 70063138 + ], + [ + 58468624, + 83927870 + ], + [ + 93481871, + 46788725 + ], + [ + 32228433, + 32979933 + ], + [ + 10003289, + 47748282 + ], + [ + 58825783, + 47730059 + ], + [ + 88216827, + 94221730 + ], + [ + 47494458, + 52403254 + ], + [ + 32617517, + 31824877 + ], + [ + 20302684, + 64443243 + ], + [ + 17091536, + 25927066 + ], + [ + 25970635, + 30222580 + ], + [ + 44675769, + 45142209 + ], + [ + 59063897, + 97455666 + ], + [ + 98747137, + 13942784 + ], + [ + 42517214, + 27885690 + ], + [ + 49097708, + 77468185 + ], + [ + 44581671, + 78353392 + ], + [ + 75225813, + 82905621 + ], + [ + 77889182, + 56657427 + ], + [ + 9832048, + 83381152 + ], + [ + 48758594, + 62300051 + ], + [ + 56039324, + 54995960 + ], + [ + 3662604, + 55327987 + ], + [ + 36812543, + 70907892 + ], + [ + 97083039, + 15927757 + ], + [ + 88392858, + 51605431 + ], + [ + 86419857, + 21265522 + ], + [ + 8027820, + 42416242 + ], + [ + 67063136, + 71171747 + ], + [ + 41795452, + 51987953 + ], + [ + 67241403, + 58278905 + ], + [ + 10678856, + 53407212 + ], + [ + 20420882, + 37446677 + ], + [ + 72251738, + 40531887 + ], + [ + 54116260, + 56479370 + ], + [ + 16967069, + 68995174 + ], + [ + 53866371, + 44794806 + ], + [ + 34509000, + 21352634 + ], + [ + 60031140, + 27943114 + ], + [ + 29125159, + 22487305 + ], + [ + 33497868, + 26401704 + ], + [ + 5379918, + 5979328 + ], + [ + 57605234, + 45951060 + ], + [ + 80989453, + 77536078 + ], + [ + 14992424, + 95393743 + ], + [ + 95271439, + 52146172 + ], + [ + 95694752, + 18314087 + ], + [ + 20983894, + 46825203 + ], + [ + 83026663, + 16197520 + ], + [ + 57902192, + 41544388 + ], + [ + 77975313, + 46712103 + ], + [ + 92159521, + 91770368 + ], + [ + 32337986, + 10875722 + ], + [ + 49647104, + 4912790 + ], + [ + 95583606, + 62518401 + ], + [ + 83852641, + 82916187 + ], + [ + 51755445, + 11324030 + ], + [ + 25410777, + 34595859 + ], + [ + 32613455, + 83963200 + ], + [ + 44602985, + 99676759 + ], + [ + 23792667, + 11596048 + ], + [ + 81456408, + 11158730 + ], + [ + 51394562, + 11051877 + ], + [ + 27139219, + 79373879 + ], + [ + 41762260, + 26426221 + ], + [ + 79592252, + 48373152 + ], + [ + 70510585, + 82976694 + ], + [ + 79473209, + 44734646 + ], + [ + 98572659, + 29711077 + ], + [ + 92102285, + 94462379 + ], + [ + 69472936, + 14360430 + ], + [ + 50298188, + 64530105 + ], + [ + 32939923, + 30974 + ], + [ + 87820576, + 60718284 + ], + [ + 64231923, + 57729370 + ], + [ + 52484980, + 41516439 + ], + [ + 88860809, + 82910145 + ], + [ + 55187696, + 9331947 + ], + [ + 18582728, + 17721086 + ], + [ + 1767252, + 56198451 + ], + [ + 17295457, + 68004551 + ], + [ + 59540672, + 75267331 + ], + [ + 73369421, + 65676560 + ], + [ + 38618003, + 72564238 + ], + [ + 15011737, + 12650663 + ], + [ + 15633301, + 65394049 + ], + [ + 53157680, + 64427249 + ], + [ + 8910544, + 19920614 + ], + [ + 18132120, + 51042273 + ], + [ + 24458158, + 91655646 + ], + [ + 61480899, + 71884522 + ], + [ + 59849706, + 69458013 + ], + [ + 85696547, + 88025932 + ], + [ + 32197023, + 48453740 + ], + [ + 88804831, + 69238177 + ], + [ + 54321200, + 42260328 + ], + [ + 10175958, + 60175175 + ], + [ + 85438982, + 15376563 + ], + [ + 50981524, + 3589493 + ], + [ + 17780354, + 9545608 + ], + [ + 18154310, + 66761750 + ], + [ + 98832734, + 34929970 + ], + [ + 46106578, + 38604562 + ], + [ + 5438202, + 67275976 + ], + [ + 31267591, + 83491634 + ], + [ + 59741800, + 92117130 + ], + [ + 46976153, + 70057747 + ], + [ + 79341082, + 56307494 + ], + [ + 3868050, + 7097615 + ], + [ + 79620995, + 38590171 + ], + [ + 73527520, + 92695476 + ], + [ + 45873749, + 20893181 + ], + [ + 43623213, + 96867450 + ], + [ + 51716427, + 33188232 + ], + [ + 43726931, + 11486303 + ], + [ + 99657994, + 17207285 + ], + [ + 48029811, + 58093163 + ], + [ + 94431290, + 91728077 + ], + [ + 73456990, + 39207100 + ], + [ + 91820726, + 80873003 + ], + [ + 24767320, + 71518203 + ], + [ + 64727167, + 55532259 + ], + [ + 95431109, + 27713264 + ], + [ + 19388721, + 19250777 + ], + [ + 47073174, + 23187243 + ], + [ + 28223091, + 89229846 + ], + [ + 45388146, + 6275436 + ], + [ + 52619123, + 30460952 + ], + [ + 69441267, + 51587610 + ], + [ + 90449586, + 79187039 + ], + [ + 59603764, + 27589035 + ], + [ + 71141125, + 37825586 + ], + [ + 48205023, + 47861817 + ], + [ + 7188373, + 90805442 + ], + [ + 73523651, + 58374451 + ], + [ + 74562888, + 57586049 + ], + [ + 50285062, + 45722058 + ], + [ + 74909624, + 22756497 + ], + [ + 57879114, + 49997164 + ], + [ + 28676041, + 85830845 + ], + [ + 70431177, + 13813788 + ], + [ + 37616233, + 77388823 + ], + [ + 27052078, + 93073610 + ], + [ + 33803868, + 70984037 + ], + [ + 39815609, + 41039976 + ], + [ + 25695519, + 34227297 + ], + [ + 93337381, + 54233673 + ], + [ + 27382639, + 22660976 + ], + [ + 15790212, + 2977144 + ], + [ + 9931019, + 72517407 + ], + [ + 33869827, + 44568476 + ], + [ + 46460464, + 6956337 + ], + [ + 56353571, + 37877277 + ], + [ + 66347408, + 96117784 + ], + [ + 17312275, + 4532000 + ], + [ + 98509199, + 32662291 + ], + [ + 87021052, + 10680176 + ], + [ + 54671149, + 93857520 + ], + [ + 35791195, + 36325201 + ], + [ + 11540880, + 51443157 + ], + [ + 50596332, + 72177359 + ], + [ + 9290042, + 37176472 + ], + [ + 38829510, + 45217058 + ], + [ + 70311669, + 30080240 + ], + [ + 64125943, + 41874393 + ], + [ + 42935345, + 29635549 + ], + [ + 74276449, + 80557013 + ], + [ + 69125935, + 3593315 + ], + [ + 8516728, + 43784928 + ], + [ + 69541740, + 29662928 + ], + [ + 35818591, + 39899628 + ], + [ + 34599357, + 28021359 + ], + [ + 25835659, + 37141544 + ], + [ + 49830203, + 43521454 + ], + [ + 2282907, + 48021924 + ], + [ + 94571164, + 70930437 + ], + [ + 53334086, + 11498803 + ], + [ + 26141834, + 62519411 + ], + [ + 41772749, + 71426959 + ], + [ + 9715694, + 6914273 + ], + [ + 65214846, + 42265266 + ], + [ + 46156394, + 64284085 + ], + [ + 1217516, + 18896476 + ], + [ + 14868729, + 23925070 + ], + [ + 72688234, + 34061493 + ], + [ + 44580151, + 64068947 + ], + [ + 13439551, + 6878103 + ], + [ + 44916886, + 9915533 + ], + [ + 48079048, + 50473752 + ], + [ + 58830247, + 98738423 + ], + [ + 28219018, + 31100520 + ], + [ + 37731126, + 28910977 + ], + [ + 3767980, + 55443849 + ], + [ + 76348705, + 32915158 + ], + [ + 34550190, + 55785213 + ], + [ + 47953356, + 42457557 + ], + [ + 82249606, + 87927385 + ], + [ + 3472325, + 45144462 + ], + [ + 1568364, + 98233747 + ], + [ + 7962458, + 51128271 + ], + [ + 26797571, + 66776130 + ], + [ + 99891145, + 29761915 + ], + [ + 51214235, + 17064829 + ], + [ + 30748473, + 17152922 + ], + [ + 52700035, + 70744488 + ], + [ + 73625660, + 22829822 + ], + [ + 32626125, + 77063241 + ], + [ + 46139413, + 41756746 + ], + [ + 13676210, + 46219084 + ], + [ + 46286798, + 97762157 + ], + [ + 38394287, + 45279590 + ], + [ + 39464515, + 59443785 + ], + [ + 43784172, + 94968358 + ], + [ + 3780027, + 14807033 + ], + [ + 54395749, + 92408213 + ], + [ + 84272529, + 13305961 + ], + [ + 49785165, + 35994058 + ], + [ + 29567311, + 66440003 + ], + [ + 73203365, + 39993757 + ], + [ + 23671823, + 93290354 + ], + [ + 77625467, + 17416592 + ], + [ + 95360146, + 35314974 + ], + [ + 84803766, + 73568486 + ], + [ + 6284546, + 80352918 + ], + [ + 63024770, + 58199429 + ], + [ + 85194128, + 95449030 + ], + [ + 35395191, + 72963457 + ], + [ + 76740418, + 66023654 + ], + [ + 84928521, + 46233798 + ], + [ + 63046663, + 4800217 + ], + [ + 93096038, + 98158636 + ], + [ + 44510891, + 77969059 + ], + [ + 73695049, + 66426920 + ], + [ + 61511920, + 69997318 + ], + [ + 59479275, + 57877091 + ], + [ + 27490835, + 35766186 + ], + [ + 64711543, + 87614360 + ], + [ + 14517175, + 90090985 + ], + [ + 9376117, + 85339440 + ], + [ + 14865416, + 24844273 + ], + [ + 82087650, + 1040764 + ], + [ + 86501430, + 57977296 + ], + [ + 53994978, + 42429578 + ], + [ + 49750341, + 59521015 + ], + [ + 15106024, + 12154864 + ], + [ + 26903534, + 48476507 + ], + [ + 58705425, + 33204376 + ], + [ + 67704352, + 70877407 + ], + [ + 21130646, + 60770294 + ], + [ + 91424219, + 85847790 + ], + [ + 99007520, + 90600102 + ], + [ + 65302616, + 21481063 + ], + [ + 83982920, + 84720091 + ], + [ + 18948259, + 7725408 + ], + [ + 30273148, + 93498032 + ], + [ + 19510569, + 56570744 + ], + [ + 55178054, + 44127871 + ], + [ + 89551940, + 82005364 + ], + [ + 81327492, + 13830205 + ], + [ + 35013023, + 41198861 + ], + [ + 79242750, + 84492204 + ], + [ + 38289649, + 25128067 + ], + [ + 13757307, + 98763612 + ], + [ + 62911304, + 14855868 + ], + [ + 3764108, + 93183992 + ], + [ + 91305788, + 92732176 + ], + [ + 10790963, + 77674555 + ], + [ + 43481664, + 40363233 + ], + [ + 48488600, + 56342165 + ], + [ + 52927673, + 58803563 + ], + [ + 58097931, + 57866930 + ], + [ + 72083513, + 92706514 + ], + [ + 43905789, + 70362374 + ], + [ + 91835553, + 87219578 + ], + [ + 19606302, + 88164753 + ], + [ + 89486877, + 11492019 + ], + [ + 35797561, + 46010308 + ], + [ + 15943526, + 43369665 + ], + [ + 37857192, + 64261368 + ], + [ + 80218233, + 21986629 + ], + [ + 21477450, + 5313111 + ], + [ + 68604363, + 66743205 + ], + [ + 6719999, + 3325068 + ], + [ + 34554406, + 16627080 + ], + [ + 72212156, + 45664364 + ], + [ + 90936054, + 73130756 + ], + [ + 84855670, + 10175336 + ], + [ + 21464212, + 61669354 + ], + [ + 21006762, + 23601632 + ], + [ + 22121404, + 61956969 + ], + [ + 16610232, + 89733001 + ], + [ + 32883243, + 18478959 + ], + [ + 71886947, + 83766988 + ], + [ + 16555743, + 56404433 + ], + [ + 32574171, + 67166541 + ], + [ + 17984212, + 75644348 + ], + [ + 68397483, + 22074040 + ], + [ + 55588986, + 16865005 + ], + [ + 47005685, + 75666263 + ], + [ + 73360274, + 36356524 + ], + [ + 85082391, + 31880451 + ], + [ + 70668302, + 18925045 + ], + [ + 21297248, + 49449587 + ], + [ + 53756691, + 41491142 + ], + [ + 13840495, + 95045016 + ], + [ + 27308166, + 73322885 + ], + [ + 77470105, + 93803349 + ], + [ + 97026150, + 48389285 + ], + [ + 54522091, + 31999324 + ], + [ + 68451437, + 5450132 + ], + [ + 29025945, + 42120412 + ], + [ + 10244675, + 53069351 + ], + [ + 48894931, + 9278898 + ], + [ + 83592634, + 48801426 + ], + [ + 59358119, + 4908052 + ], + [ + 41953013, + 13440150 + ], + [ + 68263951, + 91285353 + ], + [ + 3220170, + 74542304 + ], + [ + 96431778, + 69552982 + ], + [ + 66080266, + 10180853 + ], + [ + 946807, + 16611910 + ], + [ + 90482867, + 42378192 + ], + [ + 28801227, + 63895741 + ], + [ + 3026022, + 72390427 + ], + [ + 65700295, + 440183 + ], + [ + 15596937, + 77089992 + ], + [ + 60342410, + 82364789 + ], + [ + 96238709, + 87938215 + ], + [ + 63986787, + 8040207 + ], + [ + 22516092, + 45933417 + ], + [ + 55110158, + 39225333 + ], + [ + 63064508, + 21719338 + ], + [ + 32027233, + 2986734 + ], + [ + 38050221, + 19759759 + ], + [ + 72679043, + 5950799 + ], + [ + 44300146, + 56943999 + ], + [ + 41223734, + 60076187 + ], + [ + 68344532, + 1311677 + ], + [ + 72838600, + 39176591 + ], + [ + 79006525, + 15199352 + ], + [ + 69100918, + 76389868 + ], + [ + 23739649, + 98553424 + ], + [ + 6341402, + 6136747 + ], + [ + 11095811, + 2382567 + ], + [ + 98889085, + 97101499 + ], + [ + 52504568, + 98720369 + ], + [ + 41835715, + 51028813 + ], + [ + 26162936, + 15871926 + ], + [ + 82993503, + 32906924 + ], + [ + 75150388, + 62331956 + ], + [ + 35611828, + 40937905 + ], + [ + 28379591, + 35738713 + ], + [ + 66234290, + 86205536 + ], + [ + 5445718, + 14731715 + ], + [ + 29073735, + 92817169 + ], + [ + 46280838, + 25307575 + ], + [ + 29158974, + 77087881 + ], + [ + 96994736, + 46786797 + ], + [ + 92348107, + 10100925 + ], + [ + 61892313, + 4994912 + ], + [ + 82870395, + 94741468 + ], + [ + 68330584, + 84835702 + ], + [ + 96881793, + 62233605 + ], + [ + 48050627, + 89809923 + ], + [ + 22462434, + 51234448 + ], + [ + 91058732, + 12390616 + ], + [ + 26014156, + 89284502 + ], + [ + 31555970, + 1726382 + ], + [ + 96798237, + 34574724 + ], + [ + 41731629, + 48963972 + ], + [ + 82519223, + 10452936 + ], + [ + 34060692, + 85391051 + ], + [ + 61897363, + 59722332 + ], + [ + 5018210, + 34335095 + ], + [ + 7609057, + 75767169 + ], + [ + 88623974, + 77968646 + ], + [ + 91386800, + 92074354 + ], + [ + 50741263, + 28104647 + ], + [ + 18558471, + 37800705 + ], + [ + 15158346, + 17215015 + ], + [ + 97969477, + 97431511 + ], + [ + 43316735, + 5301297 + ], + [ + 42297158, + 82889659 + ], + [ + 75242796, + 99312945 + ], + [ + 50808917, + 36279747 + ], + [ + 98234006, + 48306346 + ], + [ + 81180812, + 64873315 + ], + [ + 98028975, + 16705769 + ], + [ + 23385781, + 73471062 + ], + [ + 64789000, + 60464827 + ], + [ + 23315838, + 68283615 + ], + [ + 73645187, + 95247612 + ], + [ + 4963075, + 69348955 + ], + [ + 94838126, + 3522914 + ], + [ + 29608510, + 24825139 + ], + [ + 39861673, + 98165656 + ], + [ + 30506678, + 6327064 + ], + [ + 4061051, + 77825226 + ], + [ + 28489574, + 75334688 + ], + [ + 81610751, + 14219635 + ], + [ + 96323022, + 20745300 + ], + [ + 19315666, + 78663000 + ], + [ + 4653237, + 25154076 + ], + [ + 67365231, + 31304013 + ], + [ + 94145545, + 8900531 + ], + [ + 67205925, + 83803304 + ], + [ + 57545988, + 63288031 + ], + [ + 57057451, + 79524539 + ], + [ + 72246062, + 72177637 + ], + [ + 79241318, + 12277199 + ], + [ + 74500081, + 90780223 + ], + [ + 72925616, + 81729763 + ], + [ + 8681884, + 70400662 + ], + [ + 47858218, + 5507493 + ], + [ + 31102957, + 59360741 + ], + [ + 54193029, + 17524557 + ], + [ + 14861665, + 13154416 + ], + [ + 19238010, + 71957727 + ], + [ + 81861885, + 81601996 + ], + [ + 27514026, + 60705449 + ], + [ + 90755389, + 59146763 + ], + [ + 53547209, + 70656754 + ], + [ + 79989367, + 2070508 + ], + [ + 70425205, + 23959657 + ], + [ + 60269512, + 40127548 + ], + [ + 28546343, + 51723152 + ], + [ + 2647765, + 19717137 + ], + [ + 89720892, + 89344136 + ], + [ + 23813405, + 66859995 + ], + [ + 34306472, + 16694671 + ], + [ + 85072478, + 24440112 + ], + [ + 17856594, + 38664110 + ], + [ + 28490637, + 76951516 + ], + [ + 4705768, + 13270011 + ], + [ + 91444593, + 45520981 + ], + [ + 99983583, + 29648485 + ], + [ + 48595571, + 2936293 + ], + [ + 79583250, + 65930045 + ], + [ + 7772920, + 42840147 + ], + [ + 4473588, + 55252897 + ], + [ + 95091930, + 75724712 + ], + [ + 38595997, + 19964545 + ], + [ + 36009982, + 28740647 + ], + [ + 16200686, + 43593054 + ], + [ + 30845301, + 98045876 + ], + [ + 30083288, + 77077494 + ], + [ + 22437192, + 57616918 + ], + [ + 27997193, + 29016626 + ], + [ + 35010846, + 50927897 + ], + [ + 9949300, + 77078202 + ], + [ + 16052402, + 57463702 + ], + [ + 89234021, + 1482518 + ], + [ + 19320455, + 84444045 + ], + [ + 58118904, + 83715385 + ], + [ + 20306921, + 53326047 + ], + [ + 6792176, + 8052483 + ], + [ + 72227033, + 18626880 + ], + [ + 17494634, + 22443179 + ], + [ + 14618473, + 66515690 + ], + [ + 51569827, + 77617958 + ], + [ + 97550385, + 49239696 + ], + [ + 28238743, + 50258983 + ], + [ + 45744575, + 83176835 + ], + [ + 98513273, + 20803621 + ], + [ + 6247346, + 54789911 + ], + [ + 2425246, + 38033779 + ], + [ + 88224489, + 85215853 + ], + [ + 7398959, + 39849846 + ], + [ + 76860918, + 65034516 + ], + [ + 11505463, + 90787876 + ], + [ + 50843005, + 87369046 + ], + [ + 36103709, + 16209471 + ], + [ + 95422412, + 19755913 + ], + [ + 83177321, + 45400669 + ], + [ + 384316, + 17090675 + ], + [ + 51328071, + 5345346 + ], + [ + 24023493, + 58975284 + ], + [ + 313057, + 96110481 + ], + [ + 39150580, + 78803628 + ], + [ + 51068415, + 36220282 + ], + [ + 68511410, + 97076353 + ], + [ + 74899693, + 61846249 + ], + [ + 15135711, + 68640399 + ], + [ + 3803861, + 37738676 + ], + [ + 76563266, + 50122044 + ], + [ + 74346774, + 14460654 + ], + [ + 76336922, + 48155939 + ], + [ + 47085075, + 49107591 + ], + [ + 56215029, + 20805348 + ], + [ + 22804271, + 48788973 + ], + [ + 82766877, + 90649311 + ], + [ + 31115310, + 56155551 + ], + [ + 51444114, + 38354341 + ], + [ + 66148168, + 3876073 + ], + [ + 7399454, + 43078588 + ], + [ + 89342088, + 15301384 + ], + [ + 66022059, + 52653690 + ], + [ + 27649933, + 71997787 + ], + [ + 59649723, + 23236340 + ], + [ + 95266055, + 49662353 + ], + [ + 52600821, + 90075839 + ], + [ + 48445671, + 92113831 + ], + [ + 43157146, + 68010234 + ], + [ + 41851658, + 21068606 + ], + [ + 65131793, + 6055140 + ], + [ + 84284363, + 22222037 + ], + [ + 4701937, + 7302883 + ], + [ + 50655021, + 93077182 + ], + [ + 54085478, + 13774191 + ], + [ + 83026007, + 82172556 + ], + [ + 62511338, + 84852139 + ], + [ + 24287280, + 78615658 + ], + [ + 80808160, + 5937587 + ], + [ + 18694206, + 90494030 + ], + [ + 34055416, + 3458587 + ], + [ + 31295006, + 45288019 + ], + [ + 45191492, + 65524240 + ], + [ + 36069112, + 6245677 + ], + [ + 50484390, + 1821069 + ], + [ + 33554105, + 59386173 + ], + [ + 43092743, + 19507509 + ], + [ + 72178735, + 96208090 + ], + [ + 9852246, + 6392757 + ], + [ + 14711814, + 73117929 + ], + [ + 80537126, + 54459801 + ], + [ + 49795910, + 14799798 + ], + [ + 59305080, + 49755781 + ], + [ + 66951499, + 65422572 + ], + [ + 41574603, + 37946850 + ], + [ + 90768534, + 50593618 + ], + [ + 46843856, + 70600782 + ], + [ + 36408885, + 25379376 + ], + [ + 58461867, + 13441866 + ], + [ + 57991345, + 88138380 + ], + [ + 66592751, + 41568636 + ], + [ + 80932169, + 91987171 + ], + [ + 86830681, + 41858557 + ], + [ + 39537080, + 314738 + ], + [ + 94945748, + 1122846 + ], + [ + 43047553, + 87139590 + ], + [ + 49367589, + 69597929 + ], + [ + 6592103, + 12903539 + ], + [ + 77413243, + 20234320 + ], + [ + 56252298, + 70700776 + ], + [ + 82705582, + 86074064 + ], + [ + 13731558, + 40413334 + ], + [ + 15700064, + 67521052 + ], + [ + 68115718, + 60289947 + ], + [ + 83918440, + 66123292 + ], + [ + 89411272, + 554423 + ], + [ + 98216804, + 99530071 + ], + [ + 81223050, + 51755843 + ], + [ + 49535182, + 85581494 + ], + [ + 37998430, + 25501412 + ], + [ + 19345983, + 79501035 + ], + [ + 23528537, + 57923237 + ], + [ + 8463985, + 58778088 + ], + [ + 97140393, + 14834707 + ], + [ + 30758837, + 82712376 + ], + [ + 26865851, + 80082380 + ], + [ + 48554276, + 44001426 + ], + [ + 73260853, + 78280885 + ], + [ + 17338926, + 33898871 + ], + [ + 22099496, + 60252210 + ], + [ + 28787383, + 77030126 + ], + [ + 48171351, + 68208992 + ], + [ + 88373416, + 95792561 + ], + [ + 3927695, + 76322348 + ], + [ + 94591550, + 43195463 + ], + [ + 68026808, + 63785470 + ], + [ + 88846904, + 65091116 + ], + [ + 4259944, + 11439072 + ], + [ + 76305925, + 49486920 + ], + [ + 89476957, + 88538858 + ], + [ + 9497662, + 44616339 + ], + [ + 56495078, + 51141215 + ], + [ + 14765200, + 58247442 + ], + [ + 60352490, + 16700917 + ], + [ + 6616106, + 48117575 + ], + [ + 84677748, + 78586108 + ], + [ + 85352967, + 93247755 + ], + [ + 41460668, + 27382765 + ], + [ + 87934264, + 4439229 + ], + [ + 44799792, + 23369731 + ], + [ + 65272157, + 72706477 + ], + [ + 59079196, + 1348167 + ], + [ + 30468222, + 51677063 + ], + [ + 67255742, + 85200914 + ], + [ + 94162843, + 60117519 + ], + [ + 4308629, + 31925969 + ], + [ + 43383271, + 61375555 + ], + [ + 25340630, + 57061356 + ], + [ + 72980895, + 4952148 + ], + [ + 74659520, + 57113527 + ], + [ + 51466563, + 44758769 + ], + [ + 51507065, + 90805411 + ], + [ + 32991874, + 10015831 + ], + [ + 42668092, + 8825888 + ], + [ + 92478536, + 46482132 + ], + [ + 35059645, + 14548925 + ], + [ + 17862089, + 30757944 + ], + [ + 71769853, + 36065308 + ], + [ + 58807989, + 70296615 + ], + [ + 31520158, + 15862583 + ], + [ + 16224959, + 32976686 + ], + [ + 24194547, + 91533120 + ], + [ + 49875009, + 84563829 + ], + [ + 70326181, + 8130148 + ], + [ + 45032007, + 70293808 + ], + [ + 33915469, + 55998426 + ], + [ + 94132696, + 30682006 + ], + [ + 23033181, + 2458517 + ], + [ + 44147101, + 18400332 + ], + [ + 8997382, + 39901039 + ], + [ + 67732033, + 22195854 + ], + [ + 70133630, + 28788864 + ], + [ + 7461931, + 913385 + ], + [ + 61663608, + 2975873 + ], + [ + 44097782, + 55694987 + ], + [ + 8763664, + 80021625 + ], + [ + 70930432, + 20513126 + ], + [ + 38072109, + 70037748 + ], + [ + 32514847, + 37248859 + ], + [ + 85638986, + 42300018 + ], + [ + 41775942, + 65347468 + ], + [ + 39360411, + 69523075 + ], + [ + 53723874, + 55693236 + ], + [ + 92012637, + 40583447 + ], + [ + 18701573, + 83996351 + ], + [ + 55537689, + 98413387 + ], + [ + 75060090, + 91632181 + ], + [ + 85405275, + 45777415 + ], + [ + 36922343, + 71223028 + ], + [ + 88503967, + 18537314 + ], + [ + 25231646, + 28356387 + ], + [ + 20577679, + 3745839 + ], + [ + 25260343, + 37796592 + ], + [ + 45594967, + 88537425 + ], + [ + 70402849, + 42739182 + ], + [ + 39864974, + 56297617 + ], + [ + 51809949, + 67414622 + ], + [ + 18943071, + 65080127 + ], + [ + 79195943, + 90025235 + ], + [ + 43023045, + 90055035 + ], + [ + 10729804, + 61460322 + ], + [ + 11256779, + 83402703 + ], + [ + 76241784, + 80650734 + ], + [ + 11463849, + 20552116 + ], + [ + 4149977, + 5743480 + ], + [ + 1520025, + 54540479 + ], + [ + 9218484, + 38311779 + ], + [ + 73111600, + 5158273 + ], + [ + 99334251, + 66841141 + ], + [ + 59733412, + 58362436 + ], + [ + 15734497, + 88291013 + ], + [ + 47214793, + 8005570 + ], + [ + 84358540, + 5908281 + ], + [ + 49912755, + 7985928 + ], + [ + 35532469, + 12458844 + ], + [ + 29569465, + 31051105 + ], + [ + 24574107, + 80129654 + ], + [ + 52621527, + 35344476 + ], + [ + 46186477, + 69672552 + ], + [ + 28995976, + 16009697 + ], + [ + 75970639, + 64779989 + ], + [ + 59422577, + 33175279 + ], + [ + 55626441, + 52601981 + ], + [ + 76000437, + 38812786 + ], + [ + 44349127, + 53632366 + ], + [ + 42707619, + 27364181 + ], + [ + 88732751, + 71580672 + ], + [ + 13596751, + 20317977 + ], + [ + 61786347, + 70108273 + ], + [ + 12138647, + 30665407 + ], + [ + 47762584, + 80219357 + ], + [ + 6387135, + 75402410 + ], + [ + 74948549, + 46183669 + ], + [ + 72388742, + 57066067 + ], + [ + 33167934, + 37167037 + ], + [ + 65809907, + 85366906 + ], + [ + 6146213, + 65284833 + ], + [ + 42599110, + 4904047 + ], + [ + 52707183, + 53289052 + ], + [ + 64026106, + 98264148 + ], + [ + 5262628, + 17229704 + ], + [ + 70031243, + 48164505 + ], + [ + 44727533, + 94903545 + ], + [ + 46353096, + 57401361 + ], + [ + 72886222, + 62463204 + ], + [ + 11989820, + 89474960 + ], + [ + 79612725, + 54574002 + ], + [ + 75654381, + 22206735 + ], + [ + 86411029, + 94121468 + ], + [ + 92808618, + 98731568 + ], + [ + 73450779, + 13637263 + ], + [ + 51385456, + 95605662 + ], + [ + 34015179, + 50929958 + ], + [ + 13035485, + 83633996 + ], + [ + 2278209, + 75752306 + ], + [ + 20164006, + 33511000 + ], + [ + 92872757, + 81840332 + ], + [ + 89672506, + 3811200 + ], + [ + 81297891, + 71981857 + ], + [ + 45673517, + 13160610 + ], + [ + 36750534, + 70018635 + ], + [ + 71356303, + 11740720 + ], + [ + 27193333, + 39002823 + ], + [ + 87490604, + 67059974 + ], + [ + 54877666, + 36199038 + ], + [ + 80704892, + 67676905 + ], + [ + 68408779, + 55385064 + ], + [ + 78412326, + 32641946 + ], + [ + 70260491, + 33489712 + ], + [ + 44483872, + 71777080 + ], + [ + 50511868, + 43401592 + ], + [ + 2788156, + 434263 + ], + [ + 31530843, + 39086819 + ], + [ + 86833509, + 81464958 + ], + [ + 64819793, + 36634234 + ], + [ + 49003115, + 77338898 + ], + [ + 82399216, + 9314122 + ], + [ + 39298939, + 28020752 + ], + [ + 1069339, + 2413131 + ], + [ + 44530507, + 72848562 + ], + [ + 17125128, + 60369004 + ], + [ + 80218044, + 26305957 + ], + [ + 73398479, + 19881397 + ], + [ + 53678154, + 96418306 + ], + [ + 18877798, + 68415447 + ], + [ + 54373794, + 26490832 + ], + [ + 7225808, + 21563662 + ], + [ + 16948247, + 69477124 + ], + [ + 16814436, + 9984416 + ], + [ + 61173360, + 66734609 + ], + [ + 97785493, + 66599619 + ], + [ + 29800469, + 12275354 + ], + [ + 14621189, + 92213673 + ], + [ + 89246335, + 95407660 + ], + [ + 53393020, + 66475052 + ], + [ + 95339410, + 29950443 + ], + [ + 54578612, + 66665157 + ], + [ + 24052789, + 92581234 + ], + [ + 88374931, + 57330817 + ], + [ + 31510357, + 45636046 + ], + [ + 97247008, + 85452127 + ], + [ + 46291418, + 90201539 + ], + [ + 20403247, + 68855649 + ], + [ + 63259439, + 28962891 + ], + [ + 15061501, + 98596911 + ], + [ + 36971171, + 63512569 + ], + [ + 97088668, + 18379753 + ], + [ + 44016392, + 76049903 + ], + [ + 45417749, + 15720782 + ], + [ + 344550, + 57282073 + ], + [ + 91788195, + 8779950 + ], + [ + 35622917, + 30712787 + ], + [ + 4764000, + 44041244 + ], + [ + 53872422, + 22526089 + ], + [ + 19837350, + 73769094 + ], + [ + 36036461, + 34860175 + ], + [ + 7366809, + 70949223 + ], + [ + 41462463, + 35971437 + ], + [ + 86683124, + 19676093 + ], + [ + 15803734, + 46934991 + ], + [ + 1385100, + 92810178 + ], + [ + 34463023, + 53305284 + ], + [ + 68513081, + 14374672 + ], + [ + 60640960, + 35589463 + ], + [ + 17488707, + 27700255 + ], + [ + 78544280, + 13509674 + ], + [ + 29068283, + 64186411 + ], + [ + 37494538, + 66478590 + ], + [ + 16634915, + 74024045 + ], + [ + 98194799, + 51746913 + ], + [ + 62467100, + 31698989 + ], + [ + 7715057, + 27683331 + ], + [ + 18132571, + 20549318 + ], + [ + 65734705, + 76236911 + ], + [ + 21123710, + 15367337 + ], + [ + 93680574, + 72827347 + ], + [ + 7951959, + 73287371 + ], + [ + 81499950, + 10510747 + ], + [ + 63935345, + 23326150 + ], + [ + 95899509, + 13076782 + ], + [ + 41748857, + 49082593 + ], + [ + 21944787, + 64439838 + ], + [ + 86931833, + 24940392 + ], + [ + 37830254, + 14486076 + ], + [ + 53792601, + 57602742 + ], + [ + 64074683, + 51539145 + ], + [ + 55019678, + 73387066 + ], + [ + 14040246, + 20018694 + ], + [ + 53200145, + 48028637 + ], + [ + 6243798, + 77325536 + ], + [ + 60425974, + 62087099 + ], + [ + 6745887, + 26410623 + ], + [ + 87796737, + 33683881 + ], + [ + 16451996, + 440496 + ], + [ + 33527303, + 52348 + ], + [ + 96666893, + 80478558 + ], + [ + 74549797, + 63699769 + ], + [ + 15123852, + 59902071 + ], + [ + 95564405, + 62094509 + ], + [ + 59535169, + 40883882 + ], + [ + 86687105, + 75882430 + ], + [ + 95373706, + 5821170 + ], + [ + 77860056, + 63902623 + ], + [ + 62348725, + 70764364 + ], + [ + 16506157, + 22798451 + ], + [ + 66825817, + 52091730 + ], + [ + 15534104, + 78128736 + ], + [ + 78602704, + 61262979 + ], + [ + 69356326, + 58555346 + ], + [ + 18739734, + 50664180 + ], + [ + 22173972, + 76230766 + ], + [ + 36959343, + 4313707 + ], + [ + 21396743, + 15008179 + ], + [ + 15283034, + 83237223 + ], + [ + 94142647, + 19634256 + ], + [ + 99145080, + 17784733 + ], + [ + 73567351, + 88710216 + ], + [ + 94109105, + 8695056 + ], + [ + 44996112, + 32558428 + ], + [ + 78879846, + 41170125 + ], + [ + 4206547, + 9218435 + ], + [ + 13691845, + 41627014 + ], + [ + 71342129, + 41180699 + ], + [ + 8300796, + 13605281 + ], + [ + 38263223, + 44160795 + ], + [ + 9331685, + 44796367 + ], + [ + 75784314, + 47415119 + ], + [ + 95069275, + 87308434 + ], + [ + 74960499, + 97060005 + ], + [ + 61636431, + 44178544 + ], + [ + 95262517, + 8254181 + ], + [ + 51229386, + 98512107 + ], + [ + 24794962, + 81023464 + ], + [ + 21153924, + 11837036 + ], + [ + 87230776, + 66118458 + ], + [ + 39002217, + 38058941 + ], + [ + 82755529, + 58582158 + ], + [ + 40962805, + 11047488 + ], + [ + 49252530, + 14010928 + ], + [ + 29809997, + 90128069 + ], + [ + 81766820, + 88456688 + ], + [ + 51672349, + 84242879 + ], + [ + 6160735, + 73386524 + ], + [ + 67030690, + 40730042 + ], + [ + 1905333, + 96582873 + ], + [ + 19202036, + 90350557 + ], + [ + 49152865, + 90873285 + ], + [ + 61124160, + 49517246 + ], + [ + 16754194, + 22785628 + ], + [ + 49466232, + 54001236 + ], + [ + 78546593, + 6694160 + ], + [ + 58478837, + 25229343 + ], + [ + 26131539, + 97978348 + ], + [ + 8493460, + 58782304 + ], + [ + 87358812, + 1591375 + ], + [ + 30777210, + 14004814 + ], + [ + 80420601, + 53219272 + ], + [ + 75958808, + 23406000 + ], + [ + 28413628, + 42793456 + ], + [ + 98518600, + 92317428 + ], + [ + 81425638, + 28981468 + ], + [ + 97338840, + 3920366 + ], + [ + 85228336, + 17468930 + ], + [ + 8693502, + 5309560 + ], + [ + 91706065, + 34126684 + ], + [ + 74957491, + 22277200 + ], + [ + 42426334, + 66039045 + ], + [ + 31859196, + 69471756 + ], + [ + 42922934, + 47087469 + ], + [ + 83973248, + 13180437 + ], + [ + 45736130, + 78331614 + ], + [ + 70706004, + 52697598 + ], + [ + 39247510, + 96439045 + ], + [ + 42559746, + 2018025 + ], + [ + 56335677, + 59485459 + ], + [ + 84568070, + 22862241 + ], + [ + 41075529, + 67595758 + ], + [ + 94259609, + 23241762 + ], + [ + 23208693, + 39071457 + ], + [ + 85240800, + 18586632 + ], + [ + 42200623, + 60108231 + ], + [ + 59313379, + 6639596 + ], + [ + 59892073, + 81641156 + ], + [ + 46378318, + 83873987 + ], + [ + 46218941, + 8201032 + ], + [ + 50409924, + 15212559 + ], + [ + 2760953, + 17589359 + ], + [ + 61036555, + 70503640 + ], + [ + 15687947, + 25771378 + ], + [ + 39826863, + 58586501 + ], + [ + 28488221, + 63875727 + ], + [ + 7034752, + 15346235 + ], + [ + 18582351, + 96763668 + ], + [ + 78635946, + 69580804 + ], + [ + 39659931, + 35752486 + ], + [ + 64350765, + 45487826 + ], + [ + 96116206, + 2011734 + ], + [ + 62811021, + 5445741 + ], + [ + 68659486, + 95634720 + ], + [ + 70584221, + 58596909 + ], + [ + 15340395, + 84951043 + ], + [ + 7462034, + 57675796 + ], + [ + 9854758, + 80931577 + ], + [ + 5324453, + 63829482 + ], + [ + 23774016, + 49726164 + ], + [ + 60689197, + 3892524 + ], + [ + 48391629, + 91825614 + ], + [ + 28209394, + 79475484 + ], + [ + 43822869, + 38228113 + ], + [ + 13588870, + 82379066 + ], + [ + 79493152, + 45249960 + ], + [ + 61040098, + 31155427 + ], + [ + 64592311, + 80764245 + ], + [ + 4179290, + 7653113 + ], + [ + 44672818, + 21198203 + ], + [ + 27467396, + 53889936 + ], + [ + 91970112, + 55511482 + ], + [ + 39244854, + 36841774 + ], + [ + 81227819, + 76701661 + ], + [ + 79635211, + 34049055 + ], + [ + 76106751, + 85931296 + ], + [ + 45808399, + 45245640 + ], + [ + 25737562, + 49845525 + ], + [ + 53585887, + 78770215 + ], + [ + 95947019, + 15687122 + ], + [ + 3145505, + 22684317 + ], + [ + 19606485, + 12587842 + ], + [ + 96076310, + 42923642 + ], + [ + 15097879, + 17796651 + ], + [ + 21879456, + 5593631 + ], + [ + 362748, + 41056363 + ], + [ + 27169170, + 28933891 + ], + [ + 40245380, + 33277203 + ], + [ + 51096056, + 31865828 + ], + [ + 60900678, + 59018065 + ], + [ + 48070643, + 50382590 + ], + [ + 97560568, + 80496935 + ], + [ + 9577582, + 55635611 + ], + [ + 96146651, + 25531397 + ], + [ + 8206642, + 8001864 + ], + [ + 21265062, + 81507618 + ], + [ + 47470695, + 27937846 + ], + [ + 81720421, + 57283592 + ], + [ + 78818699, + 41493714 + ], + [ + 49463971, + 97638997 + ], + [ + 93718947, + 67108938 + ], + [ + 1672502, + 60411136 + ], + [ + 1526010, + 38968408 + ], + [ + 82609792, + 53492963 + ], + [ + 12464146, + 37708233 + ], + [ + 15621255, + 84155560 + ], + [ + 48569637, + 81482095 + ], + [ + 94482037, + 89336522 + ], + [ + 32467928, + 45316302 + ], + [ + 28182723, + 73445154 + ], + [ + 44013364, + 71498184 + ], + [ + 77871861, + 43516684 + ], + [ + 35446933, + 69784412 + ], + [ + 24941865, + 88234462 + ], + [ + 95451002, + 25302223 + ], + [ + 15768393, + 29253572 + ], + [ + 76785003, + 36622105 + ], + [ + 37888518, + 80106094 + ], + [ + 90823478, + 66544040 + ], + [ + 77103603, + 46892462 + ], + [ + 64680439, + 19348857 + ], + [ + 49832316, + 1392856 + ], + [ + 59982005, + 5015673 + ], + [ + 95117556, + 98582357 + ], + [ + 13064974, + 30359753 + ], + [ + 62206335, + 30859070 + ], + [ + 22425412, + 25619809 + ], + [ + 54474833, + 96529384 + ], + [ + 89831933, + 45874469 + ], + [ + 13690641, + 79344441 + ], + [ + 39769018, + 81562121 + ], + [ + 74046029, + 47788283 + ], + [ + 39362404, + 93061785 + ], + [ + 13166039, + 21591385 + ], + [ + 44375449, + 67128160 + ], + [ + 50664881, + 24034008 + ], + [ + 36343939, + 8561434 + ], + [ + 14407650, + 52666954 + ], + [ + 59908964, + 75769816 + ], + [ + 27781285, + 22570882 + ], + [ + 85192113, + 96345275 + ], + [ + 5590236, + 16574716 + ], + [ + 19598207, + 56453410 + ], + [ + 47315915, + 61071044 + ], + [ + 54616736, + 51140309 + ], + [ + 27145470, + 15556367 + ], + [ + 31620035, + 67516924 + ], + [ + 64830966, + 67890467 + ], + [ + 31081453, + 92476230 + ], + [ + 58066886, + 47473103 + ], + [ + 2903867, + 22361786 + ], + [ + 83176276, + 43864144 + ], + [ + 74317359, + 14573822 + ], + [ + 65364094, + 49687564 + ], + [ + 37067207, + 63376036 + ], + [ + 85038819, + 72567481 + ], + [ + 93727365, + 66642268 + ], + [ + 30481537, + 5887262 + ], + [ + 43564917, + 91660126 + ], + [ + 7568765, + 23327737 + ], + [ + 67766393, + 73158366 + ], + [ + 46199344, + 95855495 + ], + [ + 6559311, + 29219120 + ], + [ + 75687520, + 30480840 + ], + [ + 16927851, + 14775606 + ], + [ + 60663003, + 12508794 + ], + [ + 642614, + 31620774 + ], + [ + 61183210, + 4387523 + ], + [ + 78898295, + 43415150 + ], + [ + 23230085, + 56243157 + ], + [ + 41167814, + 71484001 + ], + [ + 21477530, + 62915362 + ], + [ + 33005765, + 59509865 + ], + [ + 6679139, + 76208573 + ], + [ + 50108098, + 72325075 + ], + [ + 3418369, + 55047442 + ], + [ + 66831589, + 87180156 + ], + [ + 52953153, + 20466562 + ], + [ + 15914820, + 15070367 + ], + [ + 15063608, + 25106608 + ], + [ + 16577471, + 21819529 + ], + [ + 41979450, + 99250765 + ], + [ + 51575639, + 44940852 + ], + [ + 1856676, + 92608483 + ], + [ + 33462496, + 35268342 + ], + [ + 90822481, + 7700637 + ], + [ + 37180125, + 66786937 + ], + [ + 13582702, + 88488338 + ], + [ + 73757033, + 6675862 + ], + [ + 38051208, + 44374534 + ], + [ + 20070352, + 12159827 + ], + [ + 79253639, + 13818298 + ], + [ + 97529640, + 95732516 + ], + [ + 66094932, + 95750162 + ], + [ + 95759612, + 61261992 + ], + [ + 11933801, + 34622692 + ], + [ + 9308341, + 85457049 + ], + [ + 51413940, + 16286795 + ], + [ + 97436059, + 53952563 + ], + [ + 55606644, + 67555788 + ], + [ + 23231465, + 46604628 + ], + [ + 63928883, + 37703589 + ], + [ + 3867289, + 63590179 + ], + [ + 74457026, + 89899224 + ], + [ + 44811363, + 97303793 + ], + [ + 50633841, + 24118912 + ], + [ + 19150130, + 52129671 + ], + [ + 69174470, + 31017541 + ], + [ + 80281480, + 1605057 + ], + [ + 2404871, + 62602575 + ], + [ + 921842, + 79959676 + ], + [ + 63954057, + 69016254 + ], + [ + 68467100, + 43586359 + ], + [ + 21143447, + 39439829 + ], + [ + 74680763, + 64404252 + ], + [ + 98942610, + 80530823 + ], + [ + 28693590, + 85621923 + ], + [ + 51605054, + 28596464 + ], + [ + 92733875, + 50293963 + ], + [ + 70302543, + 63346097 + ], + [ + 68267149, + 96418523 + ], + [ + 63365117, + 7562630 + ], + [ + 48403573, + 59888740 + ], + [ + 807238, + 26317050 + ], + [ + 37884397, + 7847670 + ], + [ + 6964444, + 70112080 + ], + [ + 70079200, + 39368619 + ], + [ + 99217514, + 17934235 + ], + [ + 82395013, + 13907575 + ], + [ + 41345207, + 753018 + ], + [ + 93615798, + 13227075 + ], + [ + 47818856, + 66622402 + ], + [ + 68818916, + 43155626 + ], + [ + 13345669, + 25076733 + ], + [ + 57584482, + 42497745 + ], + [ + 76982139, + 94363007 + ], + [ + 50638986, + 74719613 + ], + [ + 53897985, + 56631731 + ], + [ + 29352424, + 88827996 + ], + [ + 72140801, + 64065130 + ], + [ + 27407746, + 93110619 + ], + [ + 727958, + 51900490 + ], + [ + 22188382, + 44480325 + ], + [ + 80491253, + 59670124 + ], + [ + 88346988, + 56037301 + ], + [ + 12063322, + 65972735 + ], + [ + 6967834, + 15020675 + ], + [ + 65682333, + 15370972 + ], + [ + 95966070, + 30478508 + ], + [ + 96900737, + 748725 + ], + [ + 97691252, + 6701890 + ], + [ + 17933265, + 49223722 + ], + [ + 98665460, + 99550805 + ], + [ + 75313974, + 14710143 + ], + [ + 33452623, + 31405055 + ], + [ + 47331213, + 72475541 + ], + [ + 72847218, + 78889260 + ], + [ + 14181764, + 82367989 + ], + [ + 78101452, + 74542118 + ], + [ + 23133052, + 43536134 + ], + [ + 56312112, + 29240545 + ], + [ + 96412400, + 13952841 + ], + [ + 3803323, + 40869487 + ], + [ + 67222948, + 43979472 + ], + [ + 8626819, + 17429100 + ], + [ + 1333726, + 63999424 + ], + [ + 73880211, + 98100987 + ], + [ + 71408568, + 45391419 + ], + [ + 33742942, + 15354715 + ], + [ + 19785124, + 63298402 + ], + [ + 26886303, + 58548098 + ], + [ + 28308611, + 118912 + ], + [ + 53978953, + 4462776 + ], + [ + 53471532, + 66413454 + ], + [ + 53978818, + 52887239 + ], + [ + 42070377, + 64590502 + ], + [ + 85943016, + 58548608 + ], + [ + 49189419, + 95637360 + ], + [ + 89568610, + 46439241 + ], + [ + 68501369, + 30953373 + ], + [ + 68489282, + 24275043 + ], + [ + 30751110, + 54483707 + ], + [ + 34778500, + 84306219 + ], + [ + 8730334, + 1133820 + ], + [ + 35792163, + 94065553 + ], + [ + 57495160, + 73510381 + ], + [ + 788168, + 13829711 + ], + [ + 69281683, + 36126482 + ], + [ + 87515476, + 76678420 + ], + [ + 77790149, + 97703706 + ], + [ + 41430981, + 17540671 + ], + [ + 33524828, + 63822234 + ], + [ + 63279617, + 67399478 + ], + [ + 87989249, + 99420769 + ], + [ + 28557344, + 6404914 + ], + [ + 88022897, + 86211068 + ], + [ + 33795853, + 86007633 + ], + [ + 11418553, + 76370954 + ], + [ + 10539873, + 36762984 + ], + [ + 6887853, + 24343749 + ], + [ + 52178997, + 18267108 + ], + [ + 53535609, + 36939557 + ], + [ + 49276100, + 38029496 + ], + [ + 2139158, + 52956664 + ], + [ + 99823746, + 93023880 + ], + [ + 51443125, + 4378597 + ], + [ + 19128133, + 4210642 + ], + [ + 91295527, + 8742813 + ], + [ + 65367868, + 95342449 + ], + [ + 76874893, + 98729032 + ], + [ + 15194172, + 97456709 + ], + [ + 79487739, + 25756010 + ], + [ + 3588646, + 98784927 + ], + [ + 7830073, + 4763840 + ], + [ + 56430166, + 84991082 + ], + [ + 51054780, + 7584162 + ], + [ + 78646700, + 3231537 + ], + [ + 80996404, + 13176692 + ], + [ + 83374193, + 50425753 + ], + [ + 95495943, + 11819144 + ], + [ + 85143647, + 11581748 + ], + [ + 22934036, + 79551504 + ], + [ + 32269434, + 33699040 + ], + [ + 15427679, + 83193310 + ], + [ + 96592946, + 71748454 + ], + [ + 20298029, + 2416613 + ], + [ + 12983580, + 74319136 + ], + [ + 9306495, + 52993247 + ], + [ + 59039584, + 95373977 + ], + [ + 1271017, + 89542512 + ], + [ + 8562807, + 7664681 + ], + [ + 38574326, + 17175120 + ], + [ + 51861498, + 74445856 + ], + [ + 71153841, + 12770033 + ], + [ + 51507300, + 72385073 + ], + [ + 24302868, + 7848815 + ], + [ + 22266351, + 84492291 + ], + [ + 8759492, + 34705210 + ], + [ + 3628858, + 63561590 + ], + [ + 30825314, + 19684263 + ], + [ + 33252723, + 62049054 + ], + [ + 12022451, + 4541452 + ], + [ + 93718320, + 6609453 + ], + [ + 52122503, + 75373374 + ], + [ + 70486862, + 56352277 + ], + [ + 942558, + 96513382 + ], + [ + 58336967, + 8669709 + ], + [ + 46359861, + 97047092 + ], + [ + 15567465, + 19696554 + ], + [ + 46960908, + 68148218 + ], + [ + 73839365, + 30305150 + ], + [ + 31204864, + 40166775 + ], + [ + 27177556, + 19530355 + ], + [ + 95555007, + 2259752 + ], + [ + 34089336, + 63143994 + ], + [ + 71829059, + 48808870 + ], + [ + 95336996, + 70573194 + ], + [ + 76064470, + 82765018 + ], + [ + 87930967, + 71363381 + ], + [ + 60019873, + 69528400 + ], + [ + 34648171, + 60014992 + ], + [ + 17180362, + 10161047 + ], + [ + 1963808, + 6547484 + ], + [ + 65132852, + 78708503 + ], + [ + 71132115, + 39073785 + ], + [ + 90084542, + 29163572 + ], + [ + 82785723, + 98268098 + ], + [ + 26837700, + 86379196 + ], + [ + 36933392, + 94009623 + ], + [ + 38192392, + 73651109 + ], + [ + 6405347, + 36813801 + ], + [ + 24416544, + 44414375 + ], + [ + 6880987, + 29905526 + ], + [ + 57401645, + 39370273 + ], + [ + 17513419, + 11443718 + ], + [ + 5284470, + 11942449 + ], + [ + 84587324, + 87563151 + ], + [ + 28141315, + 27804103 + ], + [ + 80828257, + 58465481 + ], + [ + 3047633, + 35007514 + ], + [ + 82197611, + 27321011 + ], + [ + 68145507, + 30290578 + ], + [ + 25214261, + 16462860 + ], + [ + 63744260, + 21751552 + ], + [ + 61477788, + 45832801 + ], + [ + 22684864, + 72877277 + ], + [ + 77252726, + 82499772 + ], + [ + 38880854, + 21965009 + ], + [ + 24513139, + 77693820 + ], + [ + 96065497, + 81489659 + ], + [ + 47527686, + 62969862 + ], + [ + 16029579, + 77397148 + ], + [ + 61528869, + 35146065 + ], + [ + 62953550, + 67718784 + ], + [ + 15872755, + 70007748 + ], + [ + 4786784, + 85243580 + ], + [ + 30387802, + 66700728 + ], + [ + 68628755, + 17938983 + ], + [ + 55096913, + 57088694 + ], + [ + 17917833, + 76272389 + ], + [ + 94227732, + 65010096 + ], + [ + 25180659, + 39245645 + ], + [ + 88496523, + 43280491 + ], + [ + 57303707, + 57024712 + ], + [ + 9649628, + 72754397 + ], + [ + 3658521, + 774252 + ], + [ + 56059500, + 6375479 + ], + [ + 69922559, + 89131474 + ], + [ + 73964028, + 71202882 + ], + [ + 80843619, + 46211237 + ], + [ + 98020816, + 37496619 + ], + [ + 93330784, + 20534507 + ], + [ + 11762985, + 60768612 + ], + [ + 11512377, + 23726705 + ], + [ + 97633493, + 42376946 + ], + [ + 76691243, + 99089863 + ], + [ + 74357141, + 97282737 + ], + [ + 44790295, + 55809695 + ], + [ + 43679962, + 82553883 + ], + [ + 80806569, + 52770968 + ], + [ + 97039687, + 14353381 + ], + [ + 79656001, + 20309043 + ], + [ + 80197621, + 71566457 + ], + [ + 10356271, + 95265212 + ], + [ + 49146857, + 97307626 + ], + [ + 60489096, + 55545551 + ], + [ + 29349881, + 3830624 + ], + [ + 57490670, + 96204228 + ], + [ + 9010572, + 40103124 + ], + [ + 95229515, + 91293452 + ], + [ + 4169631, + 29828925 + ], + [ + 77696980, + 56437288 + ], + [ + 9728902, + 18325937 + ], + [ + 23338568, + 21930775 + ], + [ + 42295233, + 14378788 + ], + [ + 71672559, + 32151232 + ], + [ + 52263513, + 76677620 + ], + [ + 71521651, + 39997758 + ], + [ + 66949779, + 97835233 + ], + [ + 39367342, + 38464823 + ], + [ + 3773489, + 15256876 + ], + [ + 49006029, + 602178 + ], + [ + 97735416, + 2706800 + ], + [ + 19128291, + 29126408 + ], + [ + 39949139, + 74299811 + ], + [ + 70307824, + 40278240 + ], + [ + 48401899, + 45894821 + ], + [ + 84149274, + 2943701 + ], + [ + 28328911, + 93012627 + ], + [ + 94511931, + 93183462 + ], + [ + 2716641, + 45987070 + ], + [ + 74908514, + 46796094 + ], + [ + 15758044, + 98322406 + ], + [ + 11929017, + 87034104 + ], + [ + 21476453, + 66814150 + ], + [ + 9222412, + 10139418 + ], + [ + 8574740, + 43944295 + ], + [ + 30278020, + 47822176 + ], + [ + 77216017, + 61812562 + ], + [ + 39778831, + 53082051 + ], + [ + 26441324, + 24621110 + ], + [ + 31521364, + 27271274 + ], + [ + 51479971, + 46959511 + ], + [ + 6726517, + 73293991 + ], + [ + 21513205, + 32271059 + ], + [ + 69631192, + 79933671 + ], + [ + 45606210, + 92215424 + ], + [ + 33199470, + 35099214 + ], + [ + 60667914, + 88327539 + ], + [ + 77666972, + 16770582 + ], + [ + 8923774, + 89903533 + ], + [ + 60866608, + 44191193 + ], + [ + 87867558, + 12453276 + ], + [ + 89813613, + 43309486 + ], + [ + 79950152, + 87531092 + ], + [ + 50992108, + 18286583 + ], + [ + 67411886, + 5933834 + ], + [ + 17584134, + 58607289 + ], + [ + 19537073, + 14418993 + ], + [ + 34055652, + 59027419 + ], + [ + 6230113, + 99382032 + ], + [ + 44371984, + 68906005 + ], + [ + 43679749, + 30195009 + ], + [ + 6196425, + 63633229 + ], + [ + 25519203, + 30474366 + ], + [ + 8407837, + 9709228 + ], + [ + 44784652, + 25574705 + ], + [ + 40547152, + 90576957 + ], + [ + 6024290, + 42034607 + ], + [ + 87839588, + 56214140 + ], + [ + 45977809, + 39900615 + ], + [ + 14384648, + 46685353 + ], + [ + 54725566, + 54928631 + ], + [ + 60396828, + 65913241 + ], + [ + 54095381, + 58928398 + ], + [ + 19366349, + 52649669 + ], + [ + 77509021, + 47784205 + ], + [ + 77802632, + 42777277 + ], + [ + 96248490, + 21842249 + ], + [ + 38629202, + 25267659 + ], + [ + 9303371, + 42076030 + ], + [ + 79142411, + 62012432 + ], + [ + 14720876, + 24678650 + ], + [ + 5444549, + 44152899 + ], + [ + 62033037, + 83285931 + ], + [ + 11735172, + 8336714 + ], + [ + 64398308, + 57406720 + ], + [ + 685921, + 1370867 + ], + [ + 88115360, + 14481821 + ], + [ + 5052459, + 47807815 + ], + [ + 64426859, + 11938312 + ], + [ + 83055715, + 52680341 + ], + [ + 1162279, + 98981335 + ], + [ + 63053142, + 95651941 + ], + [ + 20512848, + 77423180 + ], + [ + 47998335, + 91184755 + ], + [ + 259487, + 45902437 + ], + [ + 96697486, + 53870847 + ], + [ + 97236639, + 64807277 + ], + [ + 65856941, + 63750189 + ], + [ + 18328019, + 32103928 + ], + [ + 24735237, + 69188617 + ], + [ + 83056626, + 45596762 + ], + [ + 62035317, + 70081669 + ], + [ + 14209621, + 83238285 + ], + [ + 34030553, + 76273073 + ], + [ + 31000283, + 80378664 + ], + [ + 39308893, + 53516116 + ], + [ + 60763200, + 31819606 + ], + [ + 35600072, + 19112383 + ], + [ + 4189108, + 87922161 + ], + [ + 51684592, + 58868229 + ], + [ + 86084590, + 10203920 + ], + [ + 60825931, + 10623942 + ], + [ + 52223455, + 12666007 + ], + [ + 91701442, + 96799959 + ], + [ + 6086005, + 62824938 + ], + [ + 73062134, + 12203453 + ], + [ + 3021689, + 67688584 + ], + [ + 23564179, + 307681 + ], + [ + 27275253, + 28166608 + ], + [ + 99965416, + 23383053 + ], + [ + 71698172, + 42929835 + ], + [ + 17638603, + 96603975 + ], + [ + 50472867, + 54780206 + ], + [ + 86925440, + 3339710 + ], + [ + 83733146, + 17289048 + ], + [ + 15081240, + 69904988 + ], + [ + 81977073, + 8819500 + ], + [ + 47112858, + 56203723 + ], + [ + 42303101, + 4660709 + ], + [ + 57293068, + 87491000 + ], + [ + 81288918, + 69339491 + ], + [ + 4429463, + 38008026 + ], + [ + 72513919, + 39568446 + ], + [ + 8588391, + 42855607 + ], + [ + 71175038, + 80812352 + ], + [ + 41860556, + 60927322 + ], + [ + 46189682, + 50536323 + ], + [ + 82156586, + 89105886 + ], + [ + 53720381, + 46424048 + ], + [ + 53472872, + 75065542 + ], + [ + 35739341, + 74924106 + ], + [ + 17879677, + 92852700 + ], + [ + 83279493, + 82982479 + ], + [ + 20157294, + 25044881 + ], + [ + 15267429, + 37667039 + ], + [ + 1877916, + 12691119 + ], + [ + 26736375, + 60220998 + ], + [ + 65142648, + 99372341 + ], + [ + 12255066, + 95387119 + ], + [ + 83179450, + 83614951 + ], + [ + 68038108, + 40801337 + ], + [ + 65538318, + 21506459 + ], + [ + 5862508, + 9204607 + ], + [ + 18403509, + 15655992 + ], + [ + 22156536, + 17788743 + ], + [ + 71550946, + 27470291 + ], + [ + 32121805, + 78898343 + ], + [ + 70583246, + 72142698 + ], + [ + 54804567, + 37796607 + ], + [ + 22238984, + 67907995 + ], + [ + 85017580, + 22994323 + ], + [ + 46275736, + 49074662 + ], + [ + 50748223, + 54970656 + ], + [ + 41247924, + 20900090 + ], + [ + 60942996, + 82820377 + ], + [ + 39517994, + 4290407 + ], + [ + 64614163, + 74369335 + ], + [ + 20962668, + 99339871 + ], + [ + 7697392, + 22458102 + ], + [ + 42263193, + 38268601 + ], + [ + 81936678, + 56527067 + ], + [ + 51754553, + 26197312 + ], + [ + 37907205, + 62844431 + ], + [ + 48488133, + 27725927 + ], + [ + 14205511, + 9064914 + ], + [ + 98722084, + 28645054 + ], + [ + 82632947, + 46607462 + ], + [ + 20234648, + 40441537 + ], + [ + 23985416, + 77837169 + ], + [ + 58197315, + 29284079 + ], + [ + 34961524, + 98733188 + ], + [ + 19261543, + 13982417 + ], + [ + 60703232, + 5928426 + ], + [ + 72717975, + 1257146 + ], + [ + 91312747, + 49993604 + ], + [ + 50492192, + 85155805 + ], + [ + 84197967, + 10451910 + ], + [ + 55920015, + 53335746 + ], + [ + 57030768, + 19791802 + ], + [ + 95561760, + 11846448 + ], + [ + 53156445, + 4911704 + ], + [ + 16173765, + 77865623 + ], + [ + 43896160, + 67914241 + ], + [ + 72575234, + 37237703 + ], + [ + 32409258, + 41457369 + ], + [ + 77538662, + 43813819 + ], + [ + 3198057, + 62422011 + ], + [ + 21302077, + 43754455 + ], + [ + 55310578, + 3074809 + ], + [ + 71843635, + 62760460 + ], + [ + 8018175, + 4543162 + ], + [ + 68751727, + 24060151 + ], + [ + 80261366, + 32134648 + ], + [ + 13738706, + 32236422 + ], + [ + 69026637, + 27667764 + ], + [ + 7688545, + 4773412 + ], + [ + 57902929, + 12953391 + ], + [ + 56320604, + 20917777 + ], + [ + 26355675, + 93804669 + ], + [ + 7280302, + 1404691 + ], + [ + 57569094, + 59228880 + ], + [ + 71370559, + 61845052 + ], + [ + 11640057, + 20942369 + ], + [ + 81579847, + 66157121 + ], + [ + 64948619, + 854090 + ], + [ + 71279879, + 89463688 + ], + [ + 73360820, + 15485350 + ], + [ + 37097421, + 62382278 + ], + [ + 49827826, + 27230644 + ], + [ + 49203231, + 97112514 + ], + [ + 2271932, + 33458831 + ], + [ + 5801531, + 98714820 + ], + [ + 11922657, + 60083220 + ], + [ + 50019187, + 74617007 + ], + [ + 50701943, + 95949898 + ], + [ + 15304445, + 38893501 + ], + [ + 49533563, + 72579640 + ], + [ + 86703815, + 26179721 + ], + [ + 37626746, + 32231264 + ], + [ + 42956657, + 51478582 + ], + [ + 85075851, + 32033378 + ], + [ + 74203878, + 44184451 + ], + [ + 6164904, + 11311388 + ], + [ + 65347227, + 13466262 + ], + [ + 33881887, + 57631658 + ], + [ + 49997913, + 6700152 + ], + [ + 18584975, + 71795804 + ], + [ + 50823290, + 78984381 + ], + [ + 84564186, + 9043935 + ], + [ + 14461061, + 61182707 + ], + [ + 1811756, + 63052163 + ], + [ + 53986536, + 48555165 + ], + [ + 94490885, + 97725587 + ], + [ + 19503616, + 7149820 + ], + [ + 47227543, + 88051186 + ], + [ + 84099600, + 41396785 + ], + [ + 83580751, + 31713400 + ], + [ + 13281601, + 56323297 + ], + [ + 19702999, + 39241399 + ], + [ + 36198518, + 50952807 + ], + [ + 70062117, + 57112035 + ], + [ + 33369361, + 532975 + ], + [ + 76578699, + 59522412 + ], + [ + 98467572, + 30613269 + ], + [ + 94755185, + 86218700 + ], + [ + 64632039, + 41077712 + ], + [ + 55894785, + 78549535 + ], + [ + 53635812, + 81827061 + ], + [ + 96665116, + 31578819 + ], + [ + 41797706, + 24315874 + ], + [ + 43600984, + 13418386 + ], + [ + 12031236, + 12642198 + ], + [ + 13869714, + 52501809 + ], + [ + 76063585, + 21329517 + ], + [ + 97097318, + 7667765 + ], + [ + 16486834, + 54764023 + ], + [ + 27796927, + 57884003 + ], + [ + 74242673, + 34510282 + ], + [ + 40346178, + 32133437 + ], + [ + 40110096, + 11363163 + ], + [ + 11544949, + 56862451 + ], + [ + 5427837, + 22120157 + ], + [ + 49047465, + 11151531 + ], + [ + 53383851, + 24299928 + ], + [ + 36391402, + 2520494 + ], + [ + 27556276, + 96965477 + ], + [ + 35759731, + 90624467 + ], + [ + 42935358, + 75995348 + ], + [ + 89202382, + 64311169 + ], + [ + 32044960, + 49196984 + ], + [ + 28146397, + 81849430 + ], + [ + 38983174, + 98035601 + ], + [ + 6582244, + 90133668 + ], + [ + 11329800, + 44889370 + ], + [ + 79059050, + 97793282 + ], + [ + 6022293, + 85006619 + ], + [ + 44270739, + 70390745 + ], + [ + 54975701, + 25999919 + ], + [ + 16544847, + 6414655 + ], + [ + 51223381, + 53569522 + ], + [ + 14137558, + 43351048 + ], + [ + 55960244, + 9484102 + ], + [ + 86965025, + 42655724 + ], + [ + 85627706, + 6815045 + ], + [ + 54157543, + 84070889 + ], + [ + 99679100, + 53685691 + ], + [ + 84003678, + 10497510 + ], + [ + 29256224, + 67190928 + ], + [ + 54365014, + 70075196 + ], + [ + 50252178, + 72172826 + ], + [ + 84788825, + 58243818 + ], + [ + 20914825, + 1013245 + ], + [ + 86975563, + 10420030 + ], + [ + 65470816, + 29666526 + ], + [ + 6258478, + 16311672 + ], + [ + 52228495, + 96589725 + ], + [ + 16133574, + 87858818 + ], + [ + 73108840, + 54203147 + ], + [ + 32801101, + 29846677 + ], + [ + 27182996, + 986532 + ], + [ + 50692728, + 55270661 + ], + [ + 48879356, + 20882877 + ], + [ + 10966193, + 16229351 + ], + [ + 72414716, + 98943561 + ], + [ + 38095435, + 33433981 + ], + [ + 14333626, + 87350371 + ], + [ + 99272096, + 82633516 + ], + [ + 33655, + 1535206 + ], + [ + 19191248, + 50424268 + ], + [ + 91826939, + 5211397 + ], + [ + 54841327, + 27217362 + ], + [ + 22402172, + 62526705 + ], + [ + 9011939, + 18830209 + ], + [ + 21586629, + 13577168 + ], + [ + 57448983, + 48102648 + ], + [ + 87721967, + 92944190 + ], + [ + 966978, + 76238120 + ], + [ + 66707010, + 2378481 + ], + [ + 76637265, + 3412130 + ], + [ + 90249421, + 3932347 + ], + [ + 6382606, + 9187340 + ], + [ + 88613856, + 19642274 + ], + [ + 81927341, + 6738571 + ], + [ + 70390404, + 67870694 + ], + [ + 90844956, + 36754388 + ], + [ + 77707158, + 35308936 + ], + [ + 10799339, + 52883840 + ], + [ + 64281399, + 18543981 + ], + [ + 71079224, + 59816066 + ], + [ + 34097201, + 73939963 + ], + [ + 55703686, + 36000065 + ], + [ + 15741469, + 2392378 + ], + [ + 98834807, + 37774525 + ], + [ + 1094462, + 31387555 + ], + [ + 73193445, + 2826854 + ], + [ + 3753980, + 26035376 + ], + [ + 29795822, + 68670296 + ], + [ + 55058427, + 34395368 + ], + [ + 2596612, + 8725779 + ], + [ + 16195796, + 67029679 + ], + [ + 8133955, + 16845987 + ], + [ + 74327570, + 88079324 + ], + [ + 82127773, + 68949036 + ], + [ + 71428140, + 55599212 + ], + [ + 86360115, + 71758842 + ], + [ + 38602566, + 38378501 + ], + [ + 92833634, + 32560079 + ], + [ + 83035140, + 44175076 + ], + [ + 79871395, + 21145031 + ], + [ + 40153274, + 39658756 + ], + [ + 98339432, + 12750275 + ], + [ + 60476159, + 1270080 + ], + [ + 54679581, + 16243765 + ], + [ + 85295979, + 81204531 + ], + [ + 22142687, + 97833673 + ], + [ + 3040205, + 83174005 + ], + [ + 61519450, + 93713500 + ], + [ + 82649978, + 34544851 + ], + [ + 94699764, + 47544849 + ], + [ + 71126291, + 35395236 + ], + [ + 95923232, + 10367972 + ], + [ + 28119633, + 12344662 + ], + [ + 87995347, + 42670538 + ], + [ + 21680665, + 50164013 + ], + [ + 68753578, + 87575004 + ], + [ + 37740767, + 41532795 + ], + [ + 5561925, + 29680317 + ], + [ + 82870840, + 8789286 + ], + [ + 96536054, + 13466857 + ], + [ + 70298081, + 33858161 + ], + [ + 17164780, + 9189051 + ], + [ + 24304796, + 66039189 + ], + [ + 78277425, + 2038062 + ], + [ + 9492565, + 121130 + ], + [ + 31714282, + 49384800 + ], + [ + 35719976, + 86575989 + ], + [ + 17834668, + 67916654 + ], + [ + 28598818, + 94050430 + ], + [ + 954749, + 38430512 + ], + [ + 97393484, + 98983747 + ], + [ + 20373878, + 7592933 + ], + [ + 23302835, + 29097152 + ], + [ + 23476592, + 3498950 + ], + [ + 30680869, + 9901950 + ], + [ + 33501440, + 40284212 + ], + [ + 23141565, + 18566448 + ], + [ + 25695718, + 44635409 + ], + [ + 30489811, + 96003481 + ], + [ + 85413868, + 74370452 + ], + [ + 63609081, + 26332978 + ], + [ + 83412157, + 44851677 + ], + [ + 3996838, + 11651542 + ], + [ + 13980839, + 50155003 + ], + [ + 96490586, + 19824603 + ], + [ + 24506117, + 8864631 + ], + [ + 65608852, + 69005642 + ], + [ + 65285419, + 67148942 + ], + [ + 60425546, + 39435447 + ], + [ + 86728005, + 63660224 + ], + [ + 89961827, + 68068352 + ], + [ + 91511475, + 84602090 + ], + [ + 24457863, + 64587556 + ], + [ + 66570793, + 55673243 + ], + [ + 72774974, + 85042172 + ], + [ + 79925671, + 33148331 + ], + [ + 85415066, + 72845010 + ], + [ + 81938492, + 25503077 + ], + [ + 4503138, + 18605567 + ], + [ + 66310355, + 88991448 + ], + [ + 69133706, + 15997843 + ], + [ + 87686565, + 4420072 + ], + [ + 70166773, + 43180583 + ], + [ + 12241467, + 60100679 + ], + [ + 10130856, + 23471786 + ], + [ + 81901038, + 44628729 + ], + [ + 607282, + 31652867 + ], + [ + 89317678, + 97059140 + ], + [ + 15173616, + 32187635 + ], + [ + 37712709, + 46122627 + ], + [ + 26528538, + 26344284 + ], + [ + 21167052, + 56211005 + ], + [ + 83123061, + 79576054 + ], + [ + 18039816, + 63279136 + ], + [ + 24503815, + 95108839 + ], + [ + 42167744, + 22592038 + ], + [ + 11734701, + 14444173 + ], + [ + 35830822, + 62580054 + ], + [ + 21408439, + 61594259 + ], + [ + 78219312, + 24274661 + ], + [ + 18392671, + 12622421 + ], + [ + 75456900, + 83250570 + ], + [ + 7015604, + 62513328 + ], + [ + 26976840, + 47423310 + ], + [ + 79498995, + 55102535 + ], + [ + 41994251, + 60817368 + ], + [ + 96942920, + 17875229 + ], + [ + 50855074, + 17991861 + ], + [ + 22892106, + 4231150 + ], + [ + 86617831, + 18990868 + ], + [ + 5530963, + 76797973 + ], + [ + 93220057, + 6347888 + ], + [ + 10884459, + 42899538 + ], + [ + 4060872, + 35903020 + ], + [ + 22073946, + 27440277 + ], + [ + 69995243, + 1262397 + ], + [ + 82945240, + 13041600 + ], + [ + 94827404, + 8443371 + ], + [ + 90533620, + 4521304 + ], + [ + 94824149, + 16189856 + ], + [ + 97269428, + 51164249 + ], + [ + 90858320, + 36076694 + ], + [ + 38792735, + 27787131 + ], + [ + 91600000, + 1708213 + ], + [ + 21193761, + 91873401 + ], + [ + 15702069, + 77226607 + ], + [ + 18717200, + 48670581 + ], + [ + 7057454, + 86847212 + ], + [ + 91839404, + 5781302 + ], + [ + 83951074, + 70349464 + ], + [ + 2548076, + 12366073 + ], + [ + 2692180, + 41359421 + ], + [ + 78334963, + 15493242 + ], + [ + 1214266, + 93870781 + ], + [ + 67156502, + 55366164 + ], + [ + 84387659, + 64155538 + ], + [ + 92725287, + 31510149 + ], + [ + 11095383, + 80337962 + ], + [ + 38104603, + 56197643 + ], + [ + 18688353, + 18262501 + ], + [ + 21155629, + 97845578 + ], + [ + 7424751, + 12805157 + ], + [ + 93285473, + 98322520 + ], + [ + 61736875, + 83768259 + ], + [ + 83576430, + 23074691 + ], + [ + 17265185, + 31415601 + ], + [ + 16169730, + 5473187 + ], + [ + 97187987, + 35244331 + ], + [ + 94859455, + 52533678 + ], + [ + 70381142, + 28778411 + ], + [ + 76044109, + 17399965 + ], + [ + 68441879, + 17473050 + ], + [ + 33020873, + 22103439 + ], + [ + 59202977, + 91220045 + ], + [ + 59660531, + 96868054 + ], + [ + 28712522, + 29750317 + ], + [ + 76333969, + 50681992 + ], + [ + 18300374, + 50492754 + ], + [ + 92617656, + 74163616 + ], + [ + 36883812, + 77489796 + ], + [ + 21804009, + 17609361 + ], + [ + 71145437, + 76699621 + ], + [ + 56452781, + 82104625 + ], + [ + 87877356, + 79417229 + ], + [ + 21328532, + 59835169 + ], + [ + 50518885, + 58337697 + ], + [ + 46375284, + 68370395 + ], + [ + 41749264, + 5561106 + ], + [ + 36899883, + 72436066 + ], + [ + 1747460, + 23149965 + ], + [ + 73139798, + 44396110 + ], + [ + 74781817, + 66617330 + ], + [ + 42301067, + 88683211 + ], + [ + 60709469, + 76060032 + ], + [ + 65530452, + 14046586 + ], + [ + 37966865, + 51864701 + ], + [ + 98755091, + 2924694 + ], + [ + 41369984, + 62475891 + ], + [ + 69285066, + 85840184 + ], + [ + 75287668, + 37284569 + ], + [ + 32814277, + 2268757 + ], + [ + 36976154, + 71794866 + ], + [ + 65543762, + 8190416 + ], + [ + 86373442, + 86916132 + ], + [ + 2038334, + 76559224 + ], + [ + 13278772, + 45260051 + ], + [ + 9122707, + 82610280 + ], + [ + 240007, + 49435375 + ], + [ + 22033535, + 94280629 + ], + [ + 74379643, + 90490424 + ], + [ + 36890601, + 6312719 + ], + [ + 99427559, + 2659723 + ], + [ + 39326985, + 35003648 + ], + [ + 67746856, + 24814501 + ], + [ + 5817373, + 33493078 + ], + [ + 22736106, + 56117239 + ], + [ + 60375759, + 88509792 + ], + [ + 81397079, + 34204101 + ], + [ + 46697212, + 70771831 + ], + [ + 3323002, + 10424268 + ], + [ + 1679982, + 60752148 + ], + [ + 9382614, + 90644503 + ], + [ + 69521960, + 18769589 + ], + [ + 74171841, + 40817730 + ], + [ + 46315252, + 66775531 + ], + [ + 12029836, + 39288624 + ], + [ + 84825287, + 30700368 + ], + [ + 15184916, + 22495873 + ], + [ + 2537235, + 759650 + ], + [ + 54093273, + 9478550 + ], + [ + 15927179, + 9556471 + ], + [ + 23543345, + 88398632 + ], + [ + 68341742, + 20316878 + ], + [ + 3338533, + 73831540 + ], + [ + 1713206, + 92329871 + ], + [ + 83362853, + 11033285 + ], + [ + 30631307, + 81363862 + ], + [ + 28160386, + 91341177 + ], + [ + 94867015, + 92634803 + ], + [ + 92798345, + 17059522 + ], + [ + 16781276, + 39946334 + ], + [ + 90018446, + 38505921 + ], + [ + 22995361, + 63617760 + ], + [ + 20115865, + 24633107 + ], + [ + 14756316, + 40825043 + ], + [ + 97083937, + 99208209 + ], + [ + 99096112, + 75051238 + ], + [ + 61586385, + 61366349 + ], + [ + 96674524, + 43202519 + ], + [ + 51030671, + 32504316 + ], + [ + 80476160, + 16989073 + ], + [ + 71414637, + 19679486 + ], + [ + 83140723, + 53732228 + ], + [ + 19982860, + 17600133 + ], + [ + 2925687, + 18085276 + ], + [ + 74933104, + 95521073 + ], + [ + 90801939, + 13850455 + ], + [ + 51769905, + 19509036 + ], + [ + 85555198, + 50216152 + ], + [ + 48930061, + 44585276 + ], + [ + 54451174, + 15713997 + ], + [ + 7274315, + 3665869 + ], + [ + 28164775, + 65634295 + ], + [ + 21662849, + 87564159 + ], + [ + 15605244, + 74121094 + ], + [ + 36258561, + 68210484 + ], + [ + 27872358, + 79147853 + ], + [ + 63775478, + 18845966 + ], + [ + 81047088, + 61108569 + ], + [ + 40656475, + 60069227 + ], + [ + 53844030, + 22770913 + ], + [ + 11544314, + 27480067 + ], + [ + 8021237, + 21734656 + ], + [ + 34023407, + 47656338 + ], + [ + 36485876, + 46842228 + ], + [ + 3747972, + 37033720 + ], + [ + 48238244, + 78189397 + ], + [ + 19823179, + 23312031 + ], + [ + 82323750, + 84628459 + ], + [ + 56489811, + 22967653 + ], + [ + 33233942, + 90970180 + ], + [ + 17724588, + 92556346 + ], + [ + 29669517, + 26141080 + ], + [ + 93723705, + 34231277 + ], + [ + 95946800, + 97619264 + ], + [ + 20841565, + 57703916 + ], + [ + 44671071, + 64746376 + ], + [ + 67937259, + 77336103 + ], + [ + 71859168, + 40732555 + ], + [ + 11814551, + 39354587 + ], + [ + 57513822, + 42267314 + ], + [ + 88754058, + 90768616 + ], + [ + 5303424, + 86489213 + ], + [ + 53732532, + 80650139 + ], + [ + 98416802, + 50679879 + ], + [ + 93790250, + 57923650 + ], + [ + 8369405, + 76556420 + ], + [ + 42512132, + 83401016 + ], + [ + 99842815, + 3717925 + ], + [ + 75253981, + 27546931 + ], + [ + 40245688, + 69579714 + ], + [ + 64439601, + 93378186 + ], + [ + 91505797, + 9630784 + ], + [ + 49526732, + 43461307 + ], + [ + 30031025, + 8759749 + ], + [ + 27930764, + 87097298 + ], + [ + 54204442, + 67342192 + ], + [ + 95550484, + 72839255 + ], + [ + 10003742, + 70853288 + ], + [ + 90950908, + 53334442 + ], + [ + 92214934, + 60168991 + ], + [ + 19998573, + 96466645 + ], + [ + 11085257, + 532979 + ], + [ + 67225882, + 71953880 + ], + [ + 61012815, + 33345412 + ], + [ + 2862591, + 69822182 + ], + [ + 76353486, + 43659287 + ], + [ + 62343552, + 66145530 + ], + [ + 30952796, + 11225015 + ], + [ + 47243206, + 36622884 + ], + [ + 59504662, + 97301440 + ], + [ + 97752560, + 11483870 + ], + [ + 10262584, + 22133840 + ], + [ + 48536875, + 31330076 + ], + [ + 24318244, + 31113521 + ], + [ + 88890613, + 80560150 + ], + [ + 40716445, + 74511701 + ], + [ + 30457921, + 72220354 + ], + [ + 22758301, + 17765783 + ], + [ + 45066356, + 97268558 + ], + [ + 10664579, + 11961942 + ], + [ + 10517808, + 85497837 + ], + [ + 37001220, + 92797529 + ], + [ + 14823504, + 63248071 + ], + [ + 84265132, + 69808680 + ], + [ + 9088155, + 80483639 + ], + [ + 91365201, + 18179617 + ], + [ + 20786074, + 38689622 + ], + [ + 92796712, + 41409595 + ], + [ + 645190, + 76483791 + ], + [ + 59634521, + 19303501 + ], + [ + 40908430, + 41669990 + ], + [ + 89104103, + 25975341 + ], + [ + 71481829, + 67980629 + ], + [ + 17497460, + 38373245 + ], + [ + 82405040, + 74360876 + ], + [ + 70336526, + 40580131 + ], + [ + 15929325, + 92926957 + ], + [ + 37906088, + 14416050 + ], + [ + 2520429, + 39099987 + ], + [ + 55283292, + 68206926 + ], + [ + 55875731, + 31273459 + ], + [ + 15442182, + 8100560 + ], + [ + 97679986, + 34330804 + ], + [ + 24189355, + 21029507 + ], + [ + 59765696, + 13998899 + ], + [ + 93340625, + 23515486 + ], + [ + 38161788, + 93202802 + ], + [ + 95185884, + 30820505 + ], + [ + 42406850, + 64838287 + ], + [ + 90551256, + 21949071 + ], + [ + 89743258, + 88360896 + ], + [ + 13857216, + 16568721 + ], + [ + 39963532, + 22112154 + ], + [ + 46090412, + 15982273 + ], + [ + 26448435, + 49041833 + ], + [ + 10336433, + 86066207 + ], + [ + 76948963, + 60439059 + ], + [ + 49134125, + 31784348 + ], + [ + 24702935, + 65366340 + ], + [ + 46998993, + 19166631 + ], + [ + 78588732, + 77334004 + ], + [ + 65995339, + 20504398 + ], + [ + 96958482, + 69377683 + ], + [ + 81130503, + 34514864 + ], + [ + 55855895, + 86678623 + ], + [ + 94016641, + 51937341 + ], + [ + 42100119, + 48917724 + ], + [ + 88113656, + 4782023 + ], + [ + 74826956, + 79774731 + ], + [ + 51910035, + 24427918 + ], + [ + 8408977, + 10522205 + ], + [ + 45906722, + 69290856 + ], + [ + 10490082, + 30920678 + ], + [ + 2439649, + 23954148 + ], + [ + 13671208, + 36692715 + ], + [ + 35276794, + 1739088 + ], + [ + 21967751, + 79227663 + ], + [ + 84779134, + 81390819 + ], + [ + 20129451, + 42062877 + ], + [ + 93050214, + 49275989 + ], + [ + 30360598, + 70351870 + ], + [ + 30964451, + 14045666 + ], + [ + 59888633, + 94506582 + ], + [ + 64574068, + 16806387 + ], + [ + 52387068, + 26490730 + ], + [ + 50914273, + 19867606 + ], + [ + 93470589, + 31182344 + ], + [ + 52731142, + 63535835 + ], + [ + 13668462, + 38544638 + ], + [ + 23985087, + 99965938 + ], + [ + 67299898, + 81125506 + ], + [ + 33298321, + 25860699 + ], + [ + 95745527, + 63487513 + ], + [ + 44172459, + 13640304 + ], + [ + 20428066, + 79656845 + ], + [ + 14159432, + 45367367 + ], + [ + 41410578, + 90161674 + ], + [ + 89045855, + 85255645 + ], + [ + 87679594, + 98411568 + ], + [ + 28740589, + 30159437 + ], + [ + 76496579, + 35726801 + ], + [ + 56604273, + 43294986 + ], + [ + 95643620, + 27825153 + ], + [ + 705583, + 55582556 + ], + [ + 55616063, + 70708238 + ], + [ + 35788255, + 26961564 + ], + [ + 31459972, + 83372295 + ], + [ + 88191643, + 55842897 + ], + [ + 72003050, + 28619785 + ], + [ + 35155128, + 89240104 + ], + [ + 66983313, + 82431657 + ], + [ + 76153530, + 76681046 + ], + [ + 5792447, + 66112124 + ], + [ + 99776274, + 1665453 + ], + [ + 52411499, + 40092197 + ], + [ + 58777411, + 16748213 + ], + [ + 6657408, + 56735065 + ], + [ + 26773977, + 90313368 + ], + [ + 56313892, + 47899296 + ], + [ + 58816299, + 57781174 + ], + [ + 52252981, + 91324676 + ], + [ + 82810442, + 85014392 + ], + [ + 51305695, + 37130213 + ], + [ + 86139968, + 460333 + ], + [ + 46657032, + 40346113 + ], + [ + 11899054, + 51009125 + ], + [ + 8169045, + 59156854 + ], + [ + 97120182, + 92468469 + ], + [ + 1717891, + 14783778 + ], + [ + 59847133, + 69579170 + ], + [ + 24826997, + 24643900 + ], + [ + 35565650, + 79021466 + ], + [ + 98759859, + 8546239 + ], + [ + 35313104, + 49132083 + ], + [ + 56119766, + 14193476 + ], + [ + 14823202, + 89866501 + ], + [ + 38528022, + 59906200 + ], + [ + 9644589, + 95211300 + ], + [ + 14506567, + 31121785 + ], + [ + 21246635, + 16862866 + ], + [ + 89965899, + 50793126 + ], + [ + 63084725, + 97512758 + ], + [ + 39787720, + 86201319 + ], + [ + 71290628, + 38294202 + ], + [ + 22391903, + 25718909 + ], + [ + 90976201, + 80168715 + ], + [ + 98689504, + 62719834 + ], + [ + 56051074, + 81087483 + ], + [ + 61751256, + 17443649 + ], + [ + 62158003, + 22159665 + ], + [ + 3255347, + 94313464 + ], + [ + 36909904, + 20641834 + ], + [ + 26620460, + 60760012 + ], + [ + 11565146, + 65223573 + ], + [ + 6906011, + 18629650 + ], + [ + 17605950, + 17584536 + ], + [ + 44526149, + 88335024 + ], + [ + 77950032, + 59340496 + ], + [ + 99660483, + 14324289 + ], + [ + 95327948, + 47869175 + ], + [ + 28749369, + 95328542 + ], + [ + 3043232, + 60442925 + ], + [ + 28781892, + 82079677 + ], + [ + 10625875, + 82241819 + ], + [ + 95030459, + 46846618 + ], + [ + 33934804, + 40890346 + ], + [ + 99372926, + 73575902 + ], + [ + 90463072, + 24673931 + ], + [ + 4181881, + 12939561 + ], + [ + 8857285, + 97789538 + ], + [ + 49129852, + 54738107 + ], + [ + 51895147, + 74301357 + ], + [ + 77296765, + 34437120 + ], + [ + 88117248, + 88553788 + ], + [ + 8500323, + 55570383 + ], + [ + 80317060, + 14255919 + ], + [ + 33471207, + 32951749 + ], + [ + 15840687, + 85871906 + ], + [ + 91510596, + 34634920 + ], + [ + 53440406, + 54464964 + ], + [ + 19940639, + 176587 + ], + [ + 39099587, + 79607797 + ], + [ + 56528166, + 79373106 + ], + [ + 73114103, + 61552479 + ], + [ + 29699515, + 22665751 + ], + [ + 55271855, + 70108603 + ], + [ + 40543830, + 35182710 + ], + [ + 72116640, + 84760056 + ], + [ + 21395435, + 23757823 + ], + [ + 94817115, + 74255719 + ], + [ + 79926067, + 62739024 + ], + [ + 81880263, + 65157101 + ], + [ + 91448644, + 3107857 + ], + [ + 59739422, + 7727751 + ], + [ + 3079707, + 30120241 + ], + [ + 87459216, + 93124813 + ], + [ + 73252202, + 17853108 + ], + [ + 74464488, + 50934879 + ], + [ + 13806751, + 36519946 + ], + [ + 35931240, + 38903427 + ], + [ + 24540883, + 95066805 + ], + [ + 92259166, + 39844692 + ], + [ + 70869944, + 31218070 + ], + [ + 58498592, + 37048578 + ], + [ + 35476878, + 41569701 + ], + [ + 94444138, + 3723529 + ], + [ + 96642679, + 38965571 + ], + [ + 29836439, + 65237795 + ], + [ + 65269033, + 1282438 + ], + [ + 3828149, + 88293440 + ], + [ + 34879197, + 74071721 + ], + [ + 15205746, + 92132118 + ], + [ + 64418837, + 48633645 + ], + [ + 23585070, + 27386425 + ], + [ + 99008583, + 14899467 + ], + [ + 28194817, + 46926988 + ], + [ + 12324834, + 81203855 + ], + [ + 97406308, + 66358685 + ], + [ + 17708862, + 22426040 + ], + [ + 31728600, + 69937917 + ], + [ + 49497172, + 79574810 + ], + [ + 23046276, + 30883898 + ], + [ + 61121788, + 45148999 + ], + [ + 5691668, + 33478257 + ], + [ + 26357550, + 17280495 + ], + [ + 47436245, + 38616769 + ], + [ + 68407212, + 10947116 + ], + [ + 63240354, + 39114521 + ], + [ + 93679259, + 2604073 + ], + [ + 92997628, + 47316702 + ], + [ + 82257088, + 5525249 + ], + [ + 52159752, + 12954413 + ], + [ + 30946915, + 83101136 + ], + [ + 31329219, + 69577116 + ], + [ + 57148237, + 76032619 + ], + [ + 52359877, + 74864021 + ], + [ + 39911438, + 86800869 + ], + [ + 19742526, + 59199073 + ], + [ + 20493780, + 21573974 + ], + [ + 7506942, + 47330530 + ], + [ + 60885325, + 66345816 + ], + [ + 26927741, + 220836 + ], + [ + 75286434, + 56315825 + ], + [ + 63625818, + 47707186 + ], + [ + 60716384, + 19136074 + ], + [ + 53187151, + 55372905 + ], + [ + 93935887, + 85965715 + ], + [ + 26507230, + 20492551 + ], + [ + 29685351, + 45897886 + ], + [ + 47757048, + 72279848 + ], + [ + 15676491, + 35465602 + ], + [ + 49535960, + 38847919 + ], + [ + 92310557, + 70257931 + ], + [ + 4975506, + 2908072 + ], + [ + 81927886, + 94144798 + ], + [ + 76730544, + 53383976 + ], + [ + 55507252, + 95597888 + ], + [ + 68419425, + 2799549 + ], + [ + 36538163, + 93125040 + ], + [ + 1238250, + 61258164 + ], + [ + 48937529, + 89422605 + ], + [ + 71743661, + 65006942 + ], + [ + 16390712, + 97633231 + ], + [ + 44231400, + 86412236 + ], + [ + 9949780, + 46720286 + ], + [ + 47072041, + 55467408 + ], + [ + 34038757, + 85840483 + ], + [ + 2970879, + 1188303 + ], + [ + 38767935, + 87501373 + ], + [ + 66454925, + 48443436 + ], + [ + 81080879, + 79994566 + ], + [ + 42937911, + 67890438 + ], + [ + 51705532, + 38758795 + ], + [ + 59048778, + 49117393 + ], + [ + 87688592, + 55924140 + ], + [ + 9811657, + 60403618 + ], + [ + 34979037, + 43755735 + ], + [ + 99998275, + 90741533 + ], + [ + 14415171, + 13202282 + ], + [ + 710891, + 63425166 + ], + [ + 15221946, + 93259518 + ], + [ + 12234497, + 73494422 + ], + [ + 69760893, + 71310259 + ], + [ + 28985898, + 77935712 + ], + [ + 15885984, + 15129384 + ], + [ + 51857105, + 88164916 + ], + [ + 60110387, + 42829682 + ], + [ + 29591901, + 72794767 + ], + [ + 48337189, + 5635435 + ], + [ + 37624597, + 51343087 + ], + [ + 78706404, + 51143124 + ], + [ + 47360998, + 50093336 + ], + [ + 28676082, + 18581075 + ], + [ + 5621478, + 23770750 + ], + [ + 79455557, + 8293685 + ], + [ + 78535970, + 43955726 + ], + [ + 72863749, + 94322153 + ], + [ + 77629211, + 50324825 + ], + [ + 49384731, + 97779206 + ], + [ + 64293613, + 84756742 + ], + [ + 67219474, + 45272178 + ], + [ + 38743914, + 95051319 + ], + [ + 87439922, + 47308817 + ], + [ + 18938309, + 74803208 + ], + [ + 64976854, + 99732360 + ], + [ + 17238715, + 12900546 + ], + [ + 24463710, + 27877204 + ], + [ + 45677387, + 43370102 + ], + [ + 95057269, + 41395747 + ], + [ + 8065985, + 87456564 + ], + [ + 40789397, + 16613642 + ], + [ + 78510962, + 49613335 + ], + [ + 98625776, + 53340925 + ], + [ + 6346687, + 34775697 + ], + [ + 31023786, + 17468470 + ], + [ + 33791492, + 69966587 + ], + [ + 52477859, + 15077194 + ], + [ + 22345433, + 6762583 + ], + [ + 78030566, + 34968632 + ], + [ + 8848052, + 70299661 + ], + [ + 12247041, + 75102348 + ], + [ + 57035295, + 40976737 + ], + [ + 87357604, + 63782602 + ], + [ + 10212888, + 77330519 + ], + [ + 77101610, + 4205265 + ], + [ + 99651856, + 1880484 + ], + [ + 43582365, + 20058362 + ], + [ + 86095629, + 50647248 + ], + [ + 41103160, + 73349287 + ], + [ + 59716046, + 31751658 + ], + [ + 82317245, + 63510192 + ], + [ + 94726918, + 20024071 + ], + [ + 96388482, + 3088315 + ], + [ + 5063676, + 7208085 + ], + [ + 74411988, + 50107870 + ], + [ + 229535, + 1656927 + ], + [ + 41831998, + 83943174 + ], + [ + 39219750, + 6559751 + ], + [ + 18607824, + 57032436 + ], + [ + 20296287, + 1190396 + ], + [ + 1651964, + 64086454 + ], + [ + 29079194, + 42005817 + ], + [ + 52711407, + 21713464 + ], + [ + 3640719, + 7451074 + ], + [ + 23597907, + 5166121 + ], + [ + 30084414, + 87445055 + ], + [ + 9933284, + 48313173 + ], + [ + 30791636, + 55541776 + ], + [ + 48537217, + 85072541 + ], + [ + 92078117, + 54144604 + ], + [ + 18826361, + 14176819 + ], + [ + 97076825, + 85559484 + ], + [ + 79800083, + 48316415 + ], + [ + 63984224, + 410780 + ], + [ + 76451258, + 3342940 + ], + [ + 86227943, + 76404290 + ], + [ + 67077468, + 45173093 + ], + [ + 25076011, + 72155004 + ], + [ + 13150881, + 5317977 + ], + [ + 1582931, + 81578707 + ], + [ + 22580124, + 12116356 + ], + [ + 56136247, + 41355974 + ], + [ + 73862158, + 70260042 + ], + [ + 96145943, + 16093092 + ], + [ + 52729338, + 6973769 + ], + [ + 72675548, + 98074567 + ], + [ + 48055082, + 81690819 + ], + [ + 5712207, + 32907005 + ], + [ + 43292671, + 75857152 + ], + [ + 67556254, + 91571125 + ], + [ + 29460369, + 87962297 + ], + [ + 31257571, + 33713531 + ], + [ + 65404713, + 23394824 + ], + [ + 83265165, + 45360549 + ], + [ + 22560687, + 67175015 + ], + [ + 77311, + 98180510 + ], + [ + 83149615, + 56389138 + ], + [ + 70791052, + 45170001 + ], + [ + 21503468, + 89652453 + ], + [ + 93738346, + 7843797 + ], + [ + 82333649, + 58657927 + ], + [ + 39706785, + 56185798 + ], + [ + 2863749, + 68298521 + ], + [ + 2920004, + 72010214 + ], + [ + 82223012, + 42547319 + ], + [ + 90084925, + 83609872 + ], + [ + 87265689, + 73875571 + ], + [ + 83865185, + 77661628 + ], + [ + 33519675, + 21018900 + ], + [ + 4708816, + 15690978 + ], + [ + 87348345, + 6484209 + ], + [ + 43103299, + 79750772 + ], + [ + 96759655, + 27669745 + ], + [ + 51448751, + 43199527 + ], + [ + 33592239, + 28692037 + ], + [ + 73798061, + 62435816 + ], + [ + 11575244, + 61072331 + ], + [ + 13815408, + 8623779 + ], + [ + 20631629, + 24216092 + ], + [ + 55589049, + 79036770 + ], + [ + 41532965, + 6637911 + ], + [ + 73191069, + 96846994 + ], + [ + 3183471, + 86837086 + ], + [ + 57870052, + 11866557 + ], + [ + 36214706, + 92859014 + ], + [ + 46451022, + 43658026 + ], + [ + 48671148, + 83246143 + ], + [ + 45469947, + 20828577 + ], + [ + 86161209, + 30307280 + ], + [ + 42157409, + 82405257 + ], + [ + 33416967, + 42053263 + ], + [ + 52018023, + 81031220 + ], + [ + 22174941, + 94464881 + ], + [ + 40334165, + 81934599 + ], + [ + 16361563, + 58669912 + ], + [ + 48970582, + 83092192 + ], + [ + 73177173, + 96335058 + ], + [ + 58264614, + 98858811 + ], + [ + 44924785, + 96767785 + ], + [ + 5740794, + 46267148 + ], + [ + 6298159, + 25185664 + ], + [ + 16292385, + 19459464 + ], + [ + 42365290, + 41699350 + ], + [ + 43106079, + 54574799 + ], + [ + 1859504, + 12916210 + ], + [ + 22394671, + 95556017 + ], + [ + 64071808, + 70731000 + ], + [ + 57875724, + 94315021 + ], + [ + 6393609, + 43058405 + ], + [ + 69222024, + 77686431 + ], + [ + 42558672, + 46446973 + ], + [ + 39936273, + 70385323 + ], + [ + 80011155, + 11026686 + ], + [ + 42151940, + 77910249 + ], + [ + 11764125, + 20642376 + ], + [ + 18351167, + 52596975 + ], + [ + 77004364, + 54719289 + ], + [ + 56427679, + 76528246 + ], + [ + 24707592, + 4901354 + ], + [ + 18720258, + 70448244 + ], + [ + 80158451, + 8562524 + ], + [ + 91920669, + 40462466 + ], + [ + 62270347, + 11922528 + ], + [ + 15898879, + 74451541 + ], + [ + 99725823, + 31905473 + ], + [ + 81092297, + 34482900 + ], + [ + 43929193, + 51914356 + ], + [ + 58565024, + 80625785 + ], + [ + 22526350, + 38516131 + ], + [ + 70303549, + 26387880 + ], + [ + 80833812, + 18254639 + ], + [ + 46976345, + 25283454 + ], + [ + 77742631, + 76971831 + ], + [ + 97606246, + 65156178 + ], + [ + 63848666, + 98395035 + ], + [ + 34538447, + 24948928 + ], + [ + 14383425, + 38763448 + ], + [ + 38898888, + 12531712 + ], + [ + 85672049, + 67884853 + ], + [ + 92124567, + 37334907 + ], + [ + 75884157, + 30674479 + ], + [ + 8277393, + 33867173 + ], + [ + 53230388, + 68728211 + ], + [ + 47172877, + 79724593 + ], + [ + 15724517, + 69933250 + ], + [ + 36821900, + 1784605 + ], + [ + 27917992, + 89547204 + ], + [ + 17359762, + 76406833 + ], + [ + 98229357, + 93578336 + ], + [ + 25234993, + 71933825 + ], + [ + 2708769, + 13595353 + ], + [ + 80620540, + 19229054 + ], + [ + 77334051, + 54665431 + ], + [ + 22571106, + 64056821 + ], + [ + 42121025, + 12278323 + ], + [ + 96954677, + 96405517 + ], + [ + 99915050, + 66583376 + ], + [ + 91639101, + 5210632 + ], + [ + 13390959, + 80792311 + ], + [ + 52170537, + 13298923 + ], + [ + 6951929, + 1413310 + ], + [ + 37375856, + 96890243 + ], + [ + 45884861, + 72741229 + ], + [ + 495051, + 72121751 + ], + [ + 87034010, + 10168777 + ], + [ + 25208948, + 92979225 + ], + [ + 17579595, + 43028107 + ], + [ + 41567940, + 18017673 + ], + [ + 31449710, + 63886869 + ], + [ + 42522805, + 56919476 + ], + [ + 88653516, + 20320836 + ], + [ + 39591330, + 18558736 + ], + [ + 24681781, + 17544709 + ], + [ + 23839444, + 15513061 + ], + [ + 88914171, + 88098679 + ], + [ + 68704141, + 5728097 + ], + [ + 10643365, + 94765212 + ], + [ + 72369265, + 47207855 + ], + [ + 13162510, + 88139997 + ], + [ + 27471483, + 19282459 + ], + [ + 2396784, + 39725349 + ], + [ + 24165016, + 63843865 + ], + [ + 8389509, + 23037616 + ], + [ + 45069923, + 51666490 + ], + [ + 14314171, + 82930577 + ], + [ + 11926140, + 23742166 + ], + [ + 40410877, + 25007316 + ], + [ + 23002537, + 85875415 + ], + [ + 88517398, + 90675913 + ], + [ + 4659150, + 8813989 + ], + [ + 76711523, + 74001711 + ], + [ + 25238957, + 95901241 + ], + [ + 26642996, + 55555216 + ], + [ + 49436842, + 69291274 + ], + [ + 52190328, + 17010181 + ], + [ + 30696896, + 58136790 + ], + [ + 14926560, + 56397458 + ], + [ + 18087364, + 90825693 + ], + [ + 12697397, + 15088935 + ], + [ + 69706458, + 40112595 + ], + [ + 28724006, + 59858764 + ], + [ + 50988684, + 75970589 + ], + [ + 31052789, + 18966167 + ], + [ + 77938286, + 20799748 + ], + [ + 66480760, + 45028835 + ], + [ + 1954139, + 38201583 + ], + [ + 54063999, + 19090683 + ], + [ + 45078416, + 92290237 + ], + [ + 32094340, + 16623447 + ], + [ + 31231245, + 88468682 + ], + [ + 28007724, + 9897011 + ], + [ + 34489319, + 57223711 + ], + [ + 1826219, + 71217665 + ], + [ + 45661700, + 34670001 + ], + [ + 28345114, + 1074401 + ], + [ + 8744915, + 48574890 + ], + [ + 37400275, + 94610539 + ], + [ + 92256244, + 68182874 + ], + [ + 44566521, + 15234847 + ], + [ + 26526628, + 26721404 + ], + [ + 53378874, + 45047674 + ], + [ + 34378743, + 56452703 + ], + [ + 33397775, + 90969994 + ], + [ + 34820830, + 10312432 + ], + [ + 65456609, + 4870428 + ], + [ + 13279517, + 86815318 + ], + [ + 62131340, + 54772144 + ], + [ + 96443193, + 83310108 + ], + [ + 50734336, + 48162055 + ], + [ + 32535403, + 97023820 + ], + [ + 59732430, + 83848118 + ], + [ + 14681349, + 49910852 + ], + [ + 75873178, + 24003150 + ], + [ + 51315764, + 25560997 + ], + [ + 43338002, + 870832 + ], + [ + 42062360, + 71388154 + ], + [ + 33657468, + 22927795 + ], + [ + 5291232, + 39464760 + ], + [ + 2928496, + 58112427 + ], + [ + 55082886, + 29642916 + ], + [ + 51553164, + 14908183 + ], + [ + 81514411, + 16415870 + ], + [ + 12016078, + 61175997 + ], + [ + 92597295, + 59675630 + ], + [ + 42910184, + 82460855 + ], + [ + 88327728, + 47022474 + ], + [ + 78778954, + 78177312 + ], + [ + 23815648, + 10592817 + ], + [ + 86588207, + 71249797 + ], + [ + 64284712, + 94802180 + ], + [ + 33435292, + 34236388 + ], + [ + 71904738, + 27829812 + ], + [ + 30729322, + 82482339 + ], + [ + 54325932, + 96144000 + ], + [ + 21345286, + 11475628 + ], + [ + 89254853, + 72114764 + ], + [ + 93332571, + 6049216 + ], + [ + 29507365, + 36292787 + ], + [ + 20574814, + 36928937 + ], + [ + 3931851, + 89310956 + ], + [ + 54971298, + 28084235 + ], + [ + 34206984, + 54922156 + ], + [ + 78706444, + 42973956 + ], + [ + 9321825, + 65719722 + ], + [ + 54673989, + 20187528 + ], + [ + 51763638, + 96384669 + ], + [ + 54949714, + 52683938 + ], + [ + 92601950, + 36390743 + ], + [ + 19997799, + 59483566 + ], + [ + 89969276, + 43918424 + ], + [ + 30239323, + 29530061 + ], + [ + 75267813, + 39093211 + ], + [ + 80140461, + 32240231 + ], + [ + 57217490, + 4480850 + ], + [ + 18378489, + 93408366 + ], + [ + 8985261, + 14891985 + ], + [ + 65436589, + 38452222 + ], + [ + 19702677, + 92399651 + ], + [ + 28071934, + 97939343 + ], + [ + 38812177, + 93227326 + ], + [ + 29036123, + 22587187 + ], + [ + 854855, + 19332657 + ], + [ + 38051442, + 32904178 + ], + [ + 47247327, + 17270718 + ], + [ + 6781851, + 903676 + ], + [ + 7389672, + 96031471 + ], + [ + 88549543, + 41154786 + ], + [ + 97178742, + 69059817 + ], + [ + 21661597, + 91841515 + ], + [ + 85870792, + 9713421 + ], + [ + 17619010, + 42506956 + ], + [ + 76524503, + 46258983 + ], + [ + 60636035, + 83047480 + ], + [ + 3689941, + 85806578 + ], + [ + 38895493, + 41396545 + ], + [ + 13802950, + 26400982 + ], + [ + 73486518, + 139655 + ], + [ + 63832125, + 22859596 + ], + [ + 13356898, + 56382644 + ], + [ + 95715468, + 7272669 + ], + [ + 24616081, + 29316090 + ], + [ + 47652844, + 2658332 + ], + [ + 50480884, + 27590537 + ], + [ + 84646215, + 20989288 + ], + [ + 44207905, + 45862652 + ], + [ + 17482241, + 91528236 + ], + [ + 43275815, + 84846155 + ], + [ + 18238951, + 83655535 + ], + [ + 662450, + 26342206 + ], + [ + 4366548, + 92133639 + ], + [ + 94555869, + 35308641 + ], + [ + 20820335, + 93568769 + ], + [ + 1748027, + 75132595 + ], + [ + 93633733, + 76024501 + ], + [ + 44844827, + 19878774 + ], + [ + 70609436, + 67545202 + ], + [ + 36665403, + 71099597 + ], + [ + 51884799, + 52866732 + ], + [ + 71992683, + 83232934 + ], + [ + 13274524, + 82228121 + ], + [ + 42344290, + 89873796 + ], + [ + 57125356, + 59520846 + ], + [ + 14879135, + 33661114 + ], + [ + 51417381, + 53064734 + ], + [ + 34524904, + 49004679 + ], + [ + 55401206, + 34019807 + ], + [ + 82711970, + 51164489 + ], + [ + 25143429, + 26800431 + ], + [ + 41328837, + 30507912 + ], + [ + 17625651, + 64402551 + ], + [ + 36076783, + 28979524 + ], + [ + 24359274, + 56319715 + ], + [ + 49316628, + 84914726 + ], + [ + 66311175, + 8752611 + ], + [ + 98217335, + 46485370 + ], + [ + 9930412, + 30322501 + ], + [ + 20996174, + 40903152 + ], + [ + 29724186, + 56879610 + ], + [ + 36908293, + 59045185 + ], + [ + 74596598, + 12174905 + ], + [ + 20056673, + 31027979 + ], + [ + 97320671, + 245334 + ], + [ + 92004427, + 91403509 + ], + [ + 48675705, + 8617226 + ], + [ + 5475841, + 57754595 + ], + [ + 96186320, + 52585097 + ], + [ + 74267001, + 13066340 + ], + [ + 57363899, + 60307101 + ], + [ + 43913177, + 43566668 + ], + [ + 72874474, + 40298489 + ], + [ + 38982762, + 30385107 + ], + [ + 37636747, + 68190 + ], + [ + 55471368, + 95205756 + ], + [ + 91118727, + 47040275 + ], + [ + 66493430, + 89802128 + ], + [ + 18906284, + 10496286 + ], + [ + 79448100, + 65795009 + ], + [ + 98731406, + 69503299 + ], + [ + 24562738, + 68035924 + ], + [ + 33228878, + 86249456 + ], + [ + 33917153, + 87379546 + ], + [ + 71807033, + 78442484 + ], + [ + 51177289, + 23871927 + ], + [ + 16742334, + 7774011 + ], + [ + 17986045, + 58767342 + ], + [ + 14599174, + 9576656 + ], + [ + 10721976, + 42308066 + ], + [ + 37439279, + 34327947 + ], + [ + 84328535, + 51122630 + ], + [ + 44933416, + 81058693 + ], + [ + 84774233, + 75148637 + ], + [ + 90742894, + 24277829 + ], + [ + 46793365, + 32894416 + ], + [ + 27442540, + 80862896 + ], + [ + 82029470, + 24792702 + ], + [ + 90513793, + 89186323 + ], + [ + 95279434, + 55501109 + ], + [ + 48786100, + 25008358 + ], + [ + 98014498, + 39324183 + ], + [ + 1969631, + 75491375 + ], + [ + 57150711, + 88685471 + ], + [ + 67263867, + 55496989 + ], + [ + 2534673, + 14072831 + ], + [ + 5395135, + 2663677 + ], + [ + 50449615, + 70339193 + ], + [ + 31594154, + 95796050 + ], + [ + 3392755, + 92463769 + ], + [ + 52730169, + 44166333 + ], + [ + 83438115, + 94558477 + ], + [ + 83152016, + 92861000 + ], + [ + 25309225, + 90864646 + ], + [ + 79777647, + 48692293 + ], + [ + 78964509, + 99784041 + ], + [ + 90151765, + 14700552 + ], + [ + 98794920, + 69937011 + ], + [ + 50435682, + 32821962 + ], + [ + 82487644, + 6363934 + ], + [ + 50981948, + 27555187 + ], + [ + 6594191, + 13010876 + ], + [ + 51884820, + 34680908 + ], + [ + 45217574, + 55678529 + ], + [ + 86134687, + 53442399 + ], + [ + 48577590, + 16745350 + ], + [ + 60466643, + 9927931 + ], + [ + 37145001, + 948150 + ], + [ + 48958009, + 73043277 + ], + [ + 92754101, + 5018175 + ], + [ + 1123406, + 65499171 + ], + [ + 80909383, + 59593988 + ], + [ + 20934013, + 53009155 + ], + [ + 21960034, + 12372013 + ], + [ + 47871214, + 94378999 + ], + [ + 59527249, + 90188552 + ], + [ + 32458303, + 44936423 + ], + [ + 68204941, + 54475719 + ], + [ + 1566624, + 22292700 + ], + [ + 35876955, + 79787728 + ], + [ + 47551926, + 9211956 + ], + [ + 96492009, + 51768773 + ], + [ + 29618442, + 88172077 + ], + [ + 83526397, + 60595041 + ], + [ + 49771690, + 83171795 + ], + [ + 34354255, + 59185776 + ], + [ + 36728239, + 66737776 + ], + [ + 30272826, + 80450515 + ], + [ + 30391765, + 31810768 + ], + [ + 55542097, + 65007183 + ], + [ + 24041886, + 37073913 + ], + [ + 61600567, + 95458068 + ], + [ + 54199197, + 48094380 + ], + [ + 47678189, + 47733166 + ], + [ + 47962525, + 10898175 + ], + [ + 70443441, + 85326252 + ], + [ + 83162168, + 15237554 + ], + [ + 3206259, + 39082718 + ], + [ + 31533324, + 99198264 + ], + [ + 53784823, + 74025099 + ], + [ + 47780295, + 57890512 + ], + [ + 60564465, + 95956905 + ], + [ + 36664755, + 66615712 + ], + [ + 36037693, + 93241421 + ], + [ + 66582825, + 2686414 + ], + [ + 57164247, + 80494162 + ], + [ + 57971273, + 33547126 + ], + [ + 73863311, + 32535495 + ], + [ + 91836399, + 77432726 + ], + [ + 13781211, + 19717870 + ], + [ + 58278607, + 54353478 + ], + [ + 21135852, + 57519487 + ], + [ + 50006778, + 58664887 + ], + [ + 9048890, + 63210400 + ], + [ + 43796353, + 46962276 + ], + [ + 59848716, + 31681515 + ], + [ + 9417629, + 2181116 + ], + [ + 52039658, + 89780081 + ], + [ + 20705441, + 52326885 + ], + [ + 40795283, + 97654051 + ], + [ + 96366526, + 62010652 + ], + [ + 24591208, + 38114813 + ], + [ + 60921639, + 53678707 + ], + [ + 97453056, + 69060398 + ], + [ + 85091076, + 96398943 + ], + [ + 49356739, + 79367948 + ], + [ + 53639151, + 92004190 + ], + [ + 99095429, + 45924063 + ], + [ + 12052198, + 49189117 + ], + [ + 72637700, + 85036016 + ], + [ + 9999767, + 93662187 + ], + [ + 96585198, + 3035062 + ], + [ + 76019143, + 79787387 + ], + [ + 84268223, + 75669315 + ], + [ + 2509084, + 64696903 + ], + [ + 65152854, + 19182656 + ], + [ + 770306, + 48432759 + ], + [ + 59027638, + 53205787 + ], + [ + 68686447, + 92184477 + ], + [ + 76129773, + 72447638 + ], + [ + 73934996, + 17453273 + ], + [ + 79593574, + 86860319 + ], + [ + 77506656, + 98117560 + ], + [ + 11490607, + 35362197 + ], + [ + 53116976, + 20597025 + ], + [ + 75302111, + 66919674 + ], + [ + 17538869, + 6730849 + ], + [ + 78450223, + 17906072 + ], + [ + 22450951, + 34990444 + ], + [ + 3357954, + 44914318 + ], + [ + 79890251, + 59485622 + ], + [ + 27760419, + 19275989 + ], + [ + 85935706, + 27677368 + ], + [ + 76766437, + 74343171 + ], + [ + 92625994, + 99068791 + ], + [ + 8231428, + 39730731 + ], + [ + 31749258, + 44340677 + ], + [ + 77100927, + 28784022 + ], + [ + 13653641, + 89916776 + ], + [ + 16554662, + 31119622 + ], + [ + 11005158, + 74197263 + ], + [ + 61635299, + 49330174 + ], + [ + 32563858, + 8717610 + ], + [ + 20566526, + 6184480 + ], + [ + 32648400, + 24873808 + ], + [ + 50663253, + 8889732 + ], + [ + 16176067, + 63119447 + ], + [ + 33587687, + 45220508 + ], + [ + 69116037, + 62211136 + ], + [ + 63712384, + 88722931 + ], + [ + 60525233, + 13731738 + ], + [ + 91098195, + 36934270 + ], + [ + 36824767, + 77305095 + ], + [ + 26040613, + 78738736 + ], + [ + 35524811, + 84969833 + ], + [ + 91814318, + 10338865 + ], + [ + 63726580, + 96526546 + ], + [ + 336955, + 99061851 + ], + [ + 83495563, + 57884837 + ], + [ + 5617249, + 56323046 + ], + [ + 89823061, + 62135288 + ], + [ + 1972874, + 50015993 + ], + [ + 67581995, + 61459301 + ], + [ + 44491744, + 54623342 + ], + [ + 34982024, + 79695165 + ], + [ + 53982438, + 43854472 + ], + [ + 10516151, + 41580327 + ], + [ + 44582193, + 56570507 + ], + [ + 4893058, + 27627495 + ], + [ + 23263428, + 95102711 + ], + [ + 94096336, + 89367190 + ], + [ + 67804573, + 20884835 + ], + [ + 87260692, + 5932221 + ], + [ + 92916406, + 70935170 + ], + [ + 4137683, + 69314791 + ], + [ + 98919759, + 25001801 + ], + [ + 50638334, + 63842878 + ], + [ + 45497187, + 92513601 + ], + [ + 73721603, + 50876431 + ], + [ + 38072050, + 41053698 + ], + [ + 46706966, + 97134164 + ], + [ + 73235255, + 55624288 + ], + [ + 3587208, + 91587527 + ], + [ + 57962090, + 65410836 + ], + [ + 65063870, + 81931926 + ], + [ + 72255269, + 31906989 + ], + [ + 86792426, + 56325148 + ], + [ + 10572656, + 80650901 + ], + [ + 51748467, + 2419785 + ], + [ + 24934032, + 87256303 + ], + [ + 33094228, + 16488521 + ], + [ + 83779883, + 23931265 + ], + [ + 92495367, + 57502836 + ], + [ + 88541493, + 1211946 + ], + [ + 58262892, + 15817719 + ], + [ + 44394456, + 75790742 + ], + [ + 49108688, + 37491080 + ], + [ + 24056294, + 2043759 + ], + [ + 64367597, + 22538506 + ], + [ + 43900754, + 98496529 + ], + [ + 31615254, + 15835627 + ], + [ + 49647780, + 98512170 + ], + [ + 71696441, + 82183548 + ], + [ + 83076755, + 83835017 + ], + [ + 72307659, + 26398241 + ], + [ + 73201476, + 36658094 + ], + [ + 27405441, + 71118684 + ], + [ + 4455477, + 85946986 + ], + [ + 84342756, + 36374674 + ], + [ + 54142105, + 50159898 + ], + [ + 21830581, + 64326895 + ], + [ + 3966329, + 93615224 + ], + [ + 6832673, + 68364327 + ], + [ + 17279187, + 48387090 + ], + [ + 45771945, + 31231917 + ], + [ + 33440194, + 62864050 + ], + [ + 24010000, + 34623500 + ], + [ + 79865358, + 56999116 + ], + [ + 38226035, + 9585982 + ], + [ + 74051679, + 90633542 + ], + [ + 50788152, + 97755401 + ], + [ + 18642935, + 91229541 + ], + [ + 64060062, + 38964239 + ], + [ + 61749261, + 27756122 + ], + [ + 61086547, + 88056813 + ], + [ + 68934756, + 73208072 + ], + [ + 59902864, + 23547268 + ], + [ + 160361, + 64357402 + ], + [ + 38412366, + 19680512 + ], + [ + 66770154, + 10870623 + ], + [ + 22418887, + 35533952 + ], + [ + 59920875, + 65379877 + ], + [ + 47591956, + 42425558 + ], + [ + 90345101, + 92423696 + ], + [ + 6519889, + 81139410 + ], + [ + 84426690, + 26102625 + ], + [ + 73012625, + 37569671 + ], + [ + 31126796, + 35747638 + ], + [ + 9689949, + 52406135 + ], + [ + 37356369, + 38358137 + ], + [ + 95991736, + 68700398 + ], + [ + 99574978, + 12424473 + ], + [ + 20363717, + 34030704 + ], + [ + 1506997, + 84848025 + ], + [ + 69241496, + 54778051 + ], + [ + 64814857, + 81241220 + ], + [ + 94319325, + 65574070 + ], + [ + 40205808, + 81085534 + ], + [ + 8413855, + 67132820 + ], + [ + 62325513, + 78547295 + ], + [ + 97082249, + 41455110 + ], + [ + 17408989, + 920035 + ], + [ + 36853565, + 78955962 + ], + [ + 46579645, + 10544069 + ], + [ + 12700471, + 53537806 + ], + [ + 96584259, + 51570848 + ], + [ + 21603121, + 8595627 + ], + [ + 41158018, + 73351307 + ], + [ + 18863630, + 3645886 + ], + [ + 64826165, + 16609904 + ], + [ + 39710497, + 90065893 + ], + [ + 21973321, + 45639642 + ], + [ + 19652036, + 88721249 + ], + [ + 65006950, + 62653544 + ], + [ + 37241093, + 33843915 + ], + [ + 73601307, + 18300592 + ], + [ + 11683462, + 12348774 + ], + [ + 12390345, + 41920953 + ], + [ + 20309107, + 64250015 + ], + [ + 77632283, + 34633494 + ], + [ + 39034189, + 59938484 + ], + [ + 88992426, + 34592533 + ], + [ + 78327612, + 31018253 + ], + [ + 72733889, + 33940987 + ], + [ + 40071512, + 33112348 + ], + [ + 85576325, + 62031678 + ], + [ + 9397259, + 78267724 + ], + [ + 49938637, + 9116605 + ], + [ + 75448118, + 95183763 + ], + [ + 74914198, + 78652746 + ], + [ + 27762959, + 34027488 + ], + [ + 14397303, + 7541102 + ], + [ + 39174871, + 71758137 + ], + [ + 26552993, + 92914072 + ], + [ + 95921515, + 82780994 + ], + [ + 9863546, + 4133280 + ], + [ + 23444792, + 91066386 + ], + [ + 10417034, + 42605628 + ], + [ + 65460905, + 39718472 + ], + [ + 78133993, + 57882969 + ], + [ + 39827224, + 74465904 + ], + [ + 10007861, + 14579017 + ], + [ + 29086054, + 7932245 + ], + [ + 17636138, + 6939269 + ], + [ + 87995791, + 41635714 + ], + [ + 41216838, + 94312034 + ], + [ + 13581219, + 17363089 + ], + [ + 39344585, + 22165506 + ], + [ + 45614882, + 36017390 + ], + [ + 31110648, + 61728884 + ], + [ + 50724849, + 46315886 + ], + [ + 3021903, + 96903360 + ], + [ + 77058286, + 53432594 + ], + [ + 67343905, + 52633996 + ], + [ + 40087887, + 21123915 + ], + [ + 56011212, + 40948746 + ], + [ + 7873088, + 18665373 + ], + [ + 28508963, + 2748700 + ], + [ + 85441310, + 25731334 + ], + [ + 80648150, + 65278268 + ], + [ + 34395404, + 13247540 + ], + [ + 28359210, + 34225043 + ], + [ + 3417530, + 72348105 + ], + [ + 56431043, + 37345450 + ], + [ + 35862423, + 20139797 + ], + [ + 59652641, + 21411155 + ], + [ + 62921370, + 72324742 + ], + [ + 50914204, + 23371407 + ], + [ + 7824303, + 82305023 + ], + [ + 87618020, + 41041706 + ], + [ + 35562800, + 88714567 + ], + [ + 35949667, + 6294929 + ], + [ + 49652692, + 12038769 + ], + [ + 84918747, + 37387763 + ], + [ + 92245168, + 2814261 + ], + [ + 59129563, + 43823188 + ], + [ + 45309848, + 1183409 + ], + [ + 15132653, + 35941347 + ], + [ + 48731078, + 48894226 + ], + [ + 20490218, + 45373717 + ], + [ + 35842020, + 62355003 + ], + [ + 69599907, + 90317181 + ], + [ + 61241849, + 46616587 + ], + [ + 96569959, + 68747171 + ], + [ + 31980236, + 8612156 + ], + [ + 81664156, + 22360064 + ], + [ + 78525343, + 3671058 + ], + [ + 30224429, + 69112365 + ], + [ + 33640479, + 35777755 + ], + [ + 25162179, + 13782513 + ], + [ + 43601307, + 28493977 + ], + [ + 18901983, + 2800851 + ], + [ + 23141256, + 82332961 + ], + [ + 27532659, + 30055710 + ], + [ + 8105004, + 43031779 + ], + [ + 42832951, + 53949941 + ], + [ + 559138, + 41821491 + ], + [ + 72796281, + 50784976 + ], + [ + 6652229, + 99201685 + ], + [ + 9049227, + 9989120 + ], + [ + 95152638, + 30998286 + ], + [ + 81867083, + 97537179 + ], + [ + 13751657, + 52944286 + ], + [ + 71644052, + 21509091 + ], + [ + 67726278, + 74473569 + ], + [ + 55206328, + 85715955 + ], + [ + 14540485, + 58386972 + ], + [ + 48775187, + 36778151 + ], + [ + 81231538, + 76506196 + ], + [ + 14263261, + 14497530 + ], + [ + 56779930, + 59762743 + ], + [ + 15486782, + 75166903 + ], + [ + 10683118, + 70457763 + ], + [ + 44913990, + 40005099 + ], + [ + 29160637, + 55304891 + ], + [ + 695528, + 32902847 + ], + [ + 68282495, + 68654007 + ], + [ + 3626005, + 88201320 + ], + [ + 48148145, + 13487694 + ], + [ + 29855721, + 4313803 + ], + [ + 41188320, + 1574757 + ], + [ + 71221369, + 69046578 + ], + [ + 68192645, + 32710572 + ], + [ + 67937929, + 57295162 + ], + [ + 57092198, + 97954772 + ], + [ + 22242295, + 30550164 + ], + [ + 73255919, + 62909480 + ], + [ + 73340863, + 48568149 + ], + [ + 79644963, + 24417176 + ], + [ + 66680641, + 38571206 + ], + [ + 38848663, + 50062934 + ], + [ + 95863615, + 34380548 + ], + [ + 63857129, + 16661048 + ], + [ + 59994986, + 61804212 + ], + [ + 63930078, + 99905821 + ], + [ + 53686406, + 37570203 + ], + [ + 24923913, + 55347077 + ], + [ + 74068279, + 89866423 + ], + [ + 14346818, + 73818773 + ], + [ + 84263699, + 83124580 + ], + [ + 14034210, + 42881638 + ], + [ + 8158168, + 38858576 + ], + [ + 72833573, + 33243416 + ], + [ + 83802718, + 60474212 + ], + [ + 71844555, + 69235600 + ], + [ + 34066676, + 91383431 + ], + [ + 80520802, + 1750672 + ], + [ + 91303520, + 55871917 + ], + [ + 46516826, + 61414128 + ], + [ + 628772, + 37934081 + ], + [ + 34604855, + 57822435 + ], + [ + 77551986, + 63602326 + ], + [ + 62657731, + 3873318 + ], + [ + 49494902, + 35418675 + ], + [ + 31198373, + 9154907 + ], + [ + 21380603, + 88621995 + ], + [ + 86777230, + 10655542 + ], + [ + 59934889, + 65691060 + ], + [ + 82321802, + 45384060 + ], + [ + 71463091, + 75660922 + ], + [ + 5304889, + 7473496 + ], + [ + 17468561, + 18183917 + ], + [ + 15437154, + 89657330 + ], + [ + 51499813, + 17465139 + ], + [ + 27301106, + 16624493 + ], + [ + 54553393, + 8167866 + ], + [ + 81170104, + 44505423 + ], + [ + 47763913, + 30608566 + ], + [ + 41962897, + 38567356 + ], + [ + 34815676, + 35411399 + ], + [ + 25386203, + 26091838 + ], + [ + 73287369, + 57289918 + ], + [ + 75253565, + 3974964 + ], + [ + 1486845, + 25206496 + ], + [ + 50681226, + 3988848 + ], + [ + 44908583, + 82189041 + ], + [ + 28307314, + 14306179 + ], + [ + 55068543, + 31623702 + ], + [ + 6798524, + 68814390 + ], + [ + 78316716, + 51722178 + ], + [ + 62834084, + 28628038 + ], + [ + 63569793, + 49397728 + ], + [ + 46823707, + 2080741 + ], + [ + 6608186, + 23670340 + ], + [ + 7196682, + 22118423 + ], + [ + 76754911, + 8853498 + ], + [ + 50141440, + 1460128 + ], + [ + 30743902, + 10875086 + ], + [ + 77629606, + 12893225 + ], + [ + 63800723, + 7117218 + ], + [ + 27009090, + 90418248 + ], + [ + 73534120, + 63833394 + ], + [ + 89439682, + 25102885 + ], + [ + 50301967, + 82534868 + ], + [ + 58437766, + 4284697 + ], + [ + 68261012, + 48516286 + ], + [ + 91006618, + 27475900 + ], + [ + 42416208, + 51163105 + ], + [ + 50478932, + 90377822 + ], + [ + 20219942, + 31541302 + ], + [ + 743948, + 62345087 + ], + [ + 46161207, + 89563369 + ], + [ + 78770571, + 27841013 + ], + [ + 67117233, + 95914228 + ], + [ + 2955086, + 72577933 + ], + [ + 76091213, + 82157294 + ], + [ + 58124325, + 45092237 + ], + [ + 26765326, + 23426240 + ], + [ + 10795841, + 50264026 + ], + [ + 10081794, + 62067692 + ], + [ + 24825427, + 97845573 + ], + [ + 44472118, + 49589440 + ], + [ + 81921335, + 49407227 + ], + [ + 46766508, + 48596335 + ], + [ + 6117205, + 66170448 + ], + [ + 82487031, + 6728028 + ], + [ + 67800204, + 14669791 + ], + [ + 27075051, + 29171159 + ], + [ + 61770420, + 56651166 + ], + [ + 21542812, + 22778256 + ], + [ + 61019070, + 9570627 + ], + [ + 83139281, + 17392157 + ], + [ + 59103436, + 2018557 + ], + [ + 19159081, + 349478 + ], + [ + 93349555, + 25727228 + ], + [ + 7775350, + 19589934 + ], + [ + 49743701, + 52892775 + ], + [ + 48616261, + 18757751 + ], + [ + 50812266, + 4599078 + ], + [ + 78533774, + 72284297 + ], + [ + 36568839, + 28017928 + ], + [ + 90486520, + 72974077 + ], + [ + 18315162, + 35635047 + ], + [ + 29119882, + 39812669 + ], + [ + 77467872, + 29147757 + ], + [ + 55406023, + 60362373 + ], + [ + 81395801, + 13927944 + ], + [ + 39381818, + 1080998 + ], + [ + 20846243, + 34497685 + ], + [ + 78125334, + 62933009 + ], + [ + 80415561, + 76082187 + ], + [ + 33382842, + 76061369 + ], + [ + 42773923, + 99220521 + ], + [ + 75009215, + 35309823 + ], + [ + 6730354, + 67919331 + ], + [ + 13302118, + 96786914 + ], + [ + 12627410, + 70598039 + ], + [ + 58004215, + 44773636 + ], + [ + 7353744, + 60440753 + ], + [ + 2521068, + 46939136 + ], + [ + 69659345, + 72555277 + ], + [ + 68797418, + 41145616 + ], + [ + 67654650, + 50023426 + ], + [ + 38507171, + 96145210 + ], + [ + 77763785, + 46119972 + ], + [ + 32358532, + 65203316 + ], + [ + 44762806, + 28868572 + ], + [ + 79491214, + 62662187 + ], + [ + 51621773, + 62314232 + ], + [ + 12980701, + 56411917 + ], + [ + 38984661, + 19437027 + ], + [ + 91172513, + 12817738 + ], + [ + 4873995, + 29027615 + ], + [ + 39740469, + 30222385 + ], + [ + 59102865, + 57302024 + ], + [ + 95254479, + 72046028 + ], + [ + 71782740, + 44733072 + ], + [ + 9098787, + 83596147 + ], + [ + 5784749, + 84787532 + ], + [ + 69609417, + 15225577 + ], + [ + 31620662, + 91207051 + ], + [ + 86505825, + 80595004 + ], + [ + 91255458, + 39217257 + ], + [ + 11766075, + 19645727 + ], + [ + 65324210, + 81453878 + ], + [ + 31142220, + 99219184 + ], + [ + 98443070, + 29519272 + ], + [ + 70142411, + 33310611 + ], + [ + 34448575, + 87975257 + ], + [ + 68107004, + 68584377 + ], + [ + 7691112, + 57094577 + ], + [ + 16341898, + 87284819 + ], + [ + 55345689, + 58218056 + ], + [ + 63594981, + 86155979 + ], + [ + 74718897, + 47386337 + ], + [ + 63503187, + 61837514 + ], + [ + 53781458, + 69936303 + ], + [ + 88947622, + 89769380 + ], + [ + 40457207, + 50139967 + ], + [ + 85981851, + 89262340 + ], + [ + 90743686, + 1195363 + ], + [ + 6960660, + 23543194 + ], + [ + 74023341, + 47593499 + ], + [ + 75257681, + 72419116 + ], + [ + 12880366, + 28662068 + ], + [ + 82744082, + 7006044 + ], + [ + 46689790, + 66662048 + ], + [ + 75588358, + 28696800 + ], + [ + 47928473, + 12639749 + ], + [ + 14306763, + 15303978 + ], + [ + 73155050, + 62269901 + ], + [ + 41475494, + 55713164 + ], + [ + 67287463, + 79252590 + ], + [ + 44578193, + 51341501 + ], + [ + 49546051, + 2335134 + ], + [ + 56648841, + 87017601 + ], + [ + 15833098, + 59054862 + ], + [ + 52845413, + 63058631 + ], + [ + 15549008, + 14781530 + ], + [ + 67817872, + 51964985 + ], + [ + 34128187, + 41816140 + ], + [ + 35447445, + 69097877 + ], + [ + 97096667, + 91819788 + ], + [ + 52278136, + 60600882 + ], + [ + 39112074, + 15340559 + ], + [ + 31698405, + 91198186 + ], + [ + 55836276, + 74443210 + ], + [ + 89597833, + 80561860 + ], + [ + 59681545, + 41614471 + ], + [ + 17488077, + 85273229 + ], + [ + 59296176, + 71811978 + ], + [ + 52474320, + 72024484 + ], + [ + 99542657, + 65767006 + ], + [ + 10811624, + 69276414 + ], + [ + 28192976, + 55589422 + ], + [ + 1691572, + 50671986 + ], + [ + 68090506, + 23057643 + ], + [ + 92340965, + 45996179 + ], + [ + 77562587, + 88954573 + ], + [ + 18972633, + 23000743 + ], + [ + 73031344, + 53763241 + ], + [ + 71349723, + 64942616 + ], + [ + 59850972, + 7085576 + ], + [ + 94708182, + 65716704 + ], + [ + 47002781, + 20724781 + ], + [ + 51785545, + 72742349 + ], + [ + 59183740, + 14951981 + ], + [ + 13882381, + 81172791 + ], + [ + 86054120, + 95739260 + ], + [ + 16934229, + 25943544 + ], + [ + 95352123, + 72604040 + ], + [ + 81301078, + 25764591 + ], + [ + 29261330, + 3939385 + ], + [ + 47963743, + 63347462 + ], + [ + 85981474, + 59164404 + ], + [ + 17382104, + 89158308 + ], + [ + 32932833, + 88881837 + ], + [ + 7975343, + 17573101 + ], + [ + 68790113, + 9749219 + ], + [ + 82430518, + 87536743 + ], + [ + 73387554, + 94974086 + ], + [ + 23836190, + 9761233 + ], + [ + 89505053, + 21961582 + ], + [ + 68875451, + 41665849 + ], + [ + 96962881, + 44961694 + ], + [ + 15767754, + 75662630 + ], + [ + 4685507, + 55160280 + ], + [ + 99008904, + 92106428 + ], + [ + 21204766, + 25467743 + ], + [ + 9046607, + 95895969 + ], + [ + 90395386, + 20235101 + ], + [ + 1388390, + 68823243 + ], + [ + 61874782, + 39537892 + ], + [ + 97904884, + 65299448 + ], + [ + 29921586, + 55581580 + ], + [ + 26214700, + 22621591 + ], + [ + 75627900, + 28684498 + ], + [ + 84392656, + 67591069 + ], + [ + 97959142, + 55262622 + ], + [ + 7148349, + 20904593 + ], + [ + 52820537, + 38545058 + ], + [ + 22742652, + 47688346 + ], + [ + 27398097, + 8521987 + ], + [ + 23076662, + 12261157 + ], + [ + 61348104, + 31417044 + ], + [ + 11261872, + 83300477 + ], + [ + 31756979, + 66056434 + ], + [ + 5839082, + 31365055 + ], + [ + 62456606, + 35649810 + ], + [ + 48922441, + 84970067 + ], + [ + 96708914, + 45944560 + ], + [ + 91950657, + 12844262 + ], + [ + 95099345, + 60342242 + ], + [ + 72414661, + 59121868 + ], + [ + 17896601, + 68442898 + ], + [ + 83985842, + 12217476 + ], + [ + 36544207, + 42687231 + ], + [ + 14785795, + 32169848 + ], + [ + 3364650, + 43517917 + ], + [ + 79960979, + 16624549 + ], + [ + 74903837, + 22271861 + ], + [ + 61097360, + 46433104 + ], + [ + 39174746, + 50002758 + ], + [ + 79457262, + 61601348 + ], + [ + 63645428, + 26601466 + ], + [ + 66139857, + 27918255 + ], + [ + 84212874, + 82802631 + ], + [ + 35066686, + 73416269 + ], + [ + 51070762, + 9834450 + ], + [ + 8303987, + 31627220 + ], + [ + 21386538, + 75577783 + ], + [ + 50350533, + 95983872 + ], + [ + 99679735, + 82779812 + ], + [ + 77678171, + 47701803 + ], + [ + 60480810, + 92291359 + ], + [ + 21319329, + 12180102 + ], + [ + 73255086, + 74108852 + ], + [ + 64124864, + 63228002 + ], + [ + 49432193, + 23884855 + ], + [ + 18490122, + 51755153 + ], + [ + 86151462, + 308389 + ], + [ + 63688735, + 72493379 + ], + [ + 10617619, + 6261374 + ], + [ + 87150859, + 32623629 + ], + [ + 22670155, + 29125770 + ], + [ + 81801629, + 9054980 + ], + [ + 14994456, + 64474587 + ], + [ + 84158613, + 54993776 + ], + [ + 14662637, + 29446234 + ], + [ + 44477867, + 29521712 + ], + [ + 33558006, + 1484282 + ], + [ + 77114924, + 48504381 + ], + [ + 58597265, + 97032403 + ], + [ + 35660073, + 23773095 + ], + [ + 19640803, + 46199461 + ], + [ + 89630250, + 70338274 + ], + [ + 34446453, + 38550352 + ], + [ + 20269865, + 7372987 + ], + [ + 65595799, + 36494547 + ], + [ + 73105407, + 74109538 + ], + [ + 10076076, + 77047739 + ], + [ + 64069413, + 72865530 + ], + [ + 95063215, + 65384655 + ], + [ + 64783155, + 51426418 + ], + [ + 81584182, + 75433196 + ], + [ + 85150880, + 39093373 + ], + [ + 49856101, + 72338520 + ], + [ + 9334166, + 98933238 + ], + [ + 93355915, + 66331720 + ], + [ + 30754388, + 95662648 + ], + [ + 21164085, + 63671601 + ], + [ + 95469650, + 55543392 + ], + [ + 80508134, + 30689136 + ], + [ + 19214627, + 27641157 + ], + [ + 99851704, + 4213711 + ], + [ + 39480670, + 16262147 + ], + [ + 99707103, + 73327224 + ], + [ + 2923094, + 41104433 + ], + [ + 10822862, + 48724991 + ], + [ + 96246510, + 39902297 + ], + [ + 90306450, + 40960136 + ], + [ + 60265662, + 32068469 + ], + [ + 95446775, + 26422055 + ], + [ + 22376753, + 31571306 + ], + [ + 99019867, + 32305065 + ], + [ + 90279146, + 18813307 + ], + [ + 39218660, + 97652929 + ], + [ + 94795111, + 67641243 + ], + [ + 59376011, + 61747989 + ], + [ + 98070541, + 59130714 + ], + [ + 92977639, + 64453234 + ], + [ + 99249846, + 8083132 + ], + [ + 86859663, + 72729968 + ], + [ + 8332601, + 35037664 + ], + [ + 74631423, + 33579959 + ], + [ + 99262429, + 84881941 + ], + [ + 844016, + 97074291 + ], + [ + 88043480, + 47396797 + ], + [ + 98936403, + 23261130 + ], + [ + 81750183, + 77056062 + ], + [ + 62051910, + 59065150 + ], + [ + 15742638, + 85043168 + ], + [ + 71378931, + 40617465 + ], + [ + 16682494, + 51007932 + ], + [ + 27993577, + 85721556 + ], + [ + 83463721, + 87019815 + ], + [ + 31828345, + 86550926 + ], + [ + 65593007, + 48633590 + ], + [ + 77261341, + 49304807 + ], + [ + 43008929, + 93929261 + ], + [ + 68969433, + 14250118 + ], + [ + 41478928, + 49487602 + ], + [ + 59080431, + 72311278 + ], + [ + 68920579, + 94004761 + ], + [ + 44690443, + 14215063 + ], + [ + 38184302, + 24276268 + ], + [ + 37141752, + 37153118 + ], + [ + 87940261, + 91227947 + ], + [ + 17723338, + 66108634 + ], + [ + 53540338, + 52324113 + ], + [ + 15010712, + 16102783 + ], + [ + 70366667, + 55740151 + ], + [ + 21780377, + 70451803 + ], + [ + 66844104, + 64743659 + ], + [ + 99305892, + 51912730 + ], + [ + 41796215, + 39944023 + ], + [ + 81849238, + 71638658 + ], + [ + 89844308, + 30072730 + ], + [ + 54475409, + 14606437 + ], + [ + 33624922, + 24669365 + ], + [ + 36071553, + 13288415 + ], + [ + 37334499, + 60541319 + ], + [ + 38787457, + 88067726 + ], + [ + 11487798, + 50079190 + ], + [ + 5650153, + 13257208 + ], + [ + 11810012, + 29909892 + ], + [ + 36702630, + 99821159 + ], + [ + 94546112, + 25775113 + ], + [ + 17602425, + 96299596 + ], + [ + 35985122, + 9683244 + ], + [ + 8345773, + 30072160 + ], + [ + 29667217, + 5132329 + ], + [ + 32484661, + 71313082 + ], + [ + 4851304, + 10456740 + ], + [ + 32903651, + 67557229 + ], + [ + 19181060, + 98810144 + ], + [ + 22960992, + 93605339 + ], + [ + 71318314, + 75531875 + ], + [ + 38225647, + 74113394 + ], + [ + 12403188, + 16704056 + ], + [ + 85264465, + 35036571 + ], + [ + 64810043, + 30550282 + ], + [ + 2139270, + 2368842 + ], + [ + 61034269, + 61007789 + ], + [ + 20600098, + 59972405 + ], + [ + 38371024, + 51340191 + ], + [ + 38940155, + 59914218 + ], + [ + 41197983, + 708448 + ], + [ + 47749003, + 87233764 + ], + [ + 56596673, + 64050057 + ], + [ + 97814100, + 91667848 + ], + [ + 3096815, + 19669977 + ], + [ + 97469749, + 22249178 + ], + [ + 69500036, + 49396234 + ], + [ + 68498553, + 6130876 + ], + [ + 35926325, + 26909036 + ], + [ + 17559698, + 20193518 + ], + [ + 50232206, + 75800124 + ], + [ + 59332219, + 2509993 + ], + [ + 25049216, + 83876132 + ], + [ + 57451662, + 37824950 + ], + [ + 35886876, + 75691703 + ], + [ + 46168269, + 55418924 + ], + [ + 66375032, + 56070080 + ], + [ + 49428363, + 10237764 + ], + [ + 578570, + 89376908 + ], + [ + 37657131, + 85586330 + ], + [ + 35775531, + 61665781 + ], + [ + 61684666, + 45182473 + ], + [ + 20501448, + 58249155 + ], + [ + 63738954, + 441693 + ], + [ + 11631671, + 82709630 + ], + [ + 60269430, + 69318808 + ], + [ + 21947403, + 36360462 + ], + [ + 99458793, + 73563929 + ], + [ + 22247447, + 37088134 + ], + [ + 50374522, + 50329121 + ], + [ + 96032379, + 70069394 + ], + [ + 37104718, + 18147175 + ], + [ + 81565756, + 86903434 + ], + [ + 47652098, + 39435722 + ], + [ + 81012046, + 14388664 + ], + [ + 83281904, + 66915308 + ], + [ + 79108092, + 531288 + ], + [ + 38159402, + 85731640 + ], + [ + 43595820, + 91414072 + ], + [ + 20343070, + 14286967 + ], + [ + 899980, + 38547016 + ], + [ + 78044788, + 54027394 + ], + [ + 88411824, + 68336221 + ], + [ + 49922695, + 36812471 + ], + [ + 7374295, + 87209033 + ], + [ + 38674821, + 9212809 + ], + [ + 35363902, + 51403298 + ], + [ + 74228499, + 86215415 + ], + [ + 84780795, + 39442459 + ], + [ + 13583226, + 45518791 + ], + [ + 79338016, + 86621281 + ], + [ + 25352412, + 43809344 + ], + [ + 35939076, + 24034202 + ], + [ + 34415839, + 9549694 + ], + [ + 55615873, + 9392243 + ], + [ + 21055338, + 93182429 + ], + [ + 70607285, + 31094909 + ], + [ + 59549649, + 63057648 + ], + [ + 26985929, + 81395709 + ], + [ + 93046121, + 70281196 + ], + [ + 98019249, + 37217570 + ], + [ + 7012825, + 21265837 + ], + [ + 84111327, + 71014715 + ], + [ + 83493006, + 1158776 + ], + [ + 4501286, + 96587590 + ], + [ + 10361669, + 88724897 + ], + [ + 97892091, + 72479772 + ], + [ + 40486032, + 20389041 + ], + [ + 52550258, + 60307210 + ], + [ + 65595201, + 1501841 + ], + [ + 20946251, + 84796106 + ], + [ + 2810507, + 57752943 + ], + [ + 69136432, + 32517976 + ], + [ + 9223065, + 83278039 + ], + [ + 67058726, + 40250837 + ], + [ + 95726321, + 5412370 + ], + [ + 67504613, + 47557612 + ], + [ + 93908461, + 65838432 + ], + [ + 44285543, + 79619948 + ], + [ + 28669066, + 68728932 + ], + [ + 11115054, + 43004386 + ], + [ + 16696589, + 36894551 + ], + [ + 87354022, + 55258318 + ], + [ + 97956790, + 58608048 + ], + [ + 39051871, + 65490192 + ], + [ + 21089546, + 706767 + ], + [ + 50603771, + 21757487 + ], + [ + 2657590, + 97832274 + ], + [ + 67756841, + 88779370 + ], + [ + 16517362, + 45281452 + ], + [ + 71438534, + 12309809 + ], + [ + 34138195, + 22840617 + ], + [ + 85352460, + 25812691 + ], + [ + 92804359, + 9605892 + ], + [ + 59292960, + 37967629 + ], + [ + 97023910, + 39931975 + ], + [ + 51873201, + 42754879 + ], + [ + 13946279, + 67288120 + ], + [ + 85402598, + 62037520 + ], + [ + 31536451, + 26643855 + ], + [ + 37083674, + 1687694 + ], + [ + 66797754, + 51122526 + ], + [ + 20532941, + 2794797 + ], + [ + 95857319, + 60641130 + ], + [ + 99707603, + 49285262 + ], + [ + 72033631, + 57063736 + ], + [ + 22601578, + 17156879 + ], + [ + 96973240, + 52367551 + ], + [ + 31742988, + 28639216 + ], + [ + 65276743, + 81739973 + ], + [ + 50402261, + 32055402 + ], + [ + 45187712, + 7029084 + ], + [ + 1940523, + 92946515 + ], + [ + 74624719, + 60556798 + ], + [ + 73830540, + 63278673 + ], + [ + 33279485, + 54448697 + ], + [ + 29663945, + 58064106 + ], + [ + 80546143, + 26248658 + ], + [ + 4905335, + 98707619 + ], + [ + 62742271, + 96449700 + ], + [ + 34103614, + 95013550 + ], + [ + 25376536, + 88433218 + ], + [ + 52794025, + 8552150 + ], + [ + 61285199, + 62382088 + ], + [ + 19691638, + 72227056 + ], + [ + 34601453, + 71858102 + ], + [ + 55862985, + 16851367 + ], + [ + 14582452, + 65195316 + ], + [ + 89960985, + 94353931 + ], + [ + 24187673, + 7180616 + ], + [ + 89274331, + 93394224 + ], + [ + 47930110, + 18075203 + ], + [ + 17774608, + 43257644 + ], + [ + 42188785, + 12406832 + ], + [ + 75063350, + 71151514 + ], + [ + 59602536, + 66821114 + ], + [ + 31533248, + 44623255 + ], + [ + 83302087, + 46293976 + ], + [ + 91320666, + 53699071 + ], + [ + 46751175, + 70228905 + ], + [ + 62892588, + 72027758 + ], + [ + 66554387, + 34969907 + ], + [ + 54256957, + 17736943 + ], + [ + 45219963, + 64748111 + ], + [ + 74225751, + 93895009 + ], + [ + 33495765, + 51464015 + ], + [ + 45069366, + 97080791 + ], + [ + 39535982, + 49690478 + ], + [ + 48817200, + 59969343 + ], + [ + 85731306, + 41332910 + ], + [ + 2761362, + 6955122 + ], + [ + 4309877, + 24197094 + ], + [ + 66545937, + 3660490 + ], + [ + 74604256, + 97524396 + ], + [ + 66454926, + 81450871 + ], + [ + 32613576, + 77685635 + ], + [ + 60268048, + 73307350 + ], + [ + 71937873, + 51328084 + ], + [ + 36904444, + 30379782 + ], + [ + 45463851, + 35286978 + ], + [ + 84542891, + 91906461 + ], + [ + 54730243, + 93075674 + ], + [ + 44909048, + 8217681 + ], + [ + 58829221, + 63836484 + ], + [ + 27666647, + 2817541 + ], + [ + 40415082, + 92202826 + ], + [ + 80467866, + 90663574 + ], + [ + 90359125, + 26109897 + ], + [ + 35612076, + 89562090 + ], + [ + 634229, + 32355368 + ], + [ + 71086012, + 51754518 + ], + [ + 94595260, + 66652228 + ], + [ + 56932392, + 86725091 + ], + [ + 94241723, + 55782089 + ], + [ + 91871188, + 53053146 + ], + [ + 42363416, + 85570909 + ], + [ + 5620549, + 75032292 + ], + [ + 2442659, + 15147812 + ], + [ + 15333039, + 78781176 + ], + [ + 85482813, + 31125580 + ], + [ + 2530575, + 63780409 + ], + [ + 31470609, + 58843069 + ], + [ + 48737859, + 86636671 + ], + [ + 60466246, + 90561496 + ], + [ + 53252946, + 97752096 + ], + [ + 70656332, + 518366 + ], + [ + 77713094, + 85583230 + ], + [ + 35124634, + 66122641 + ], + [ + 61165958, + 48697969 + ], + [ + 56347127, + 67764831 + ], + [ + 60136806, + 44510714 + ], + [ + 75771577, + 35571504 + ], + [ + 73707535, + 5197636 + ], + [ + 85041224, + 29059282 + ], + [ + 89132235, + 52451378 + ], + [ + 83017929, + 89620967 + ], + [ + 7558440, + 63869019 + ], + [ + 1013628, + 78103670 + ], + [ + 95468708, + 16389570 + ], + [ + 75657935, + 32053853 + ], + [ + 23429798, + 81753863 + ], + [ + 26165001, + 69614453 + ], + [ + 32067448, + 69728127 + ], + [ + 27775963, + 14930533 + ], + [ + 77199845, + 49856358 + ], + [ + 24698643, + 77227271 + ], + [ + 18974940, + 11069729 + ], + [ + 3413128, + 69586161 + ], + [ + 46757227, + 21922921 + ], + [ + 84336827, + 64185402 + ], + [ + 92410173, + 95668176 + ], + [ + 32250052, + 2701068 + ], + [ + 72989687, + 82548358 + ], + [ + 87776382, + 92466485 + ], + [ + 39149661, + 68198046 + ], + [ + 48908079, + 19902928 + ], + [ + 58697981, + 22316629 + ], + [ + 20082005, + 59168558 + ], + [ + 82483373, + 89465990 + ], + [ + 14204627, + 50971757 + ], + [ + 99203546, + 84397055 + ], + [ + 70554191, + 5331743 + ], + [ + 12186545, + 18453246 + ], + [ + 72887912, + 4122637 + ], + [ + 4505544, + 24437585 + ], + [ + 39110375, + 93025128 + ], + [ + 61420083, + 63784449 + ], + [ + 66796544, + 5164943 + ], + [ + 38889678, + 45797743 + ], + [ + 71816897, + 6970694 + ], + [ + 57858046, + 71571539 + ], + [ + 56119352, + 78552439 + ], + [ + 47317214, + 77255991 + ], + [ + 63454630, + 94768521 + ], + [ + 899956, + 95561300 + ], + [ + 39935919, + 12472459 + ], + [ + 74679708, + 76817155 + ], + [ + 18483344, + 57892768 + ], + [ + 71692379, + 97544935 + ], + [ + 90621, + 86116211 + ], + [ + 64518443, + 92283351 + ], + [ + 85910504, + 79983252 + ], + [ + 16792052, + 14345649 + ], + [ + 65367168, + 11286700 + ], + [ + 17075804, + 73800746 + ], + [ + 70569569, + 94885815 + ], + [ + 27818100, + 13476214 + ], + [ + 37154712, + 8048415 + ], + [ + 5343656, + 45522164 + ], + [ + 44014752, + 32108743 + ], + [ + 35419630, + 5732191 + ], + [ + 67016078, + 3771563 + ], + [ + 25138309, + 11888810 + ], + [ + 23732467, + 71394340 + ], + [ + 66041865, + 50771416 + ], + [ + 254280, + 69881210 + ], + [ + 92967447, + 39856108 + ], + [ + 79931686, + 68074769 + ], + [ + 19063608, + 59802652 + ], + [ + 47047476, + 91715721 + ], + [ + 5711025, + 46543516 + ], + [ + 7021469, + 4275212 + ], + [ + 95451269, + 7377196 + ], + [ + 41148610, + 50156177 + ], + [ + 27287491, + 44242516 + ], + [ + 24273110, + 52674582 + ], + [ + 66453190, + 74801198 + ], + [ + 77321046, + 777012 + ], + [ + 30396096, + 8471392 + ], + [ + 84284428, + 29212789 + ], + [ + 97045273, + 35903102 + ], + [ + 83118008, + 50691126 + ], + [ + 2512597, + 92343852 + ], + [ + 33932868, + 80446473 + ], + [ + 365568, + 63324558 + ], + [ + 59026678, + 71598651 + ], + [ + 38946816, + 29621291 + ], + [ + 63270257, + 55680371 + ], + [ + 19876773, + 41924937 + ], + [ + 5582258, + 37864376 + ], + [ + 2571279, + 48812090 + ], + [ + 30803245, + 53411164 + ], + [ + 49151589, + 84347722 + ], + [ + 10179462, + 60231831 + ], + [ + 38741483, + 42077129 + ], + [ + 421908, + 36712915 + ], + [ + 24385488, + 6575064 + ], + [ + 98063343, + 1467596 + ], + [ + 11130960, + 46497266 + ], + [ + 21535185, + 80814591 + ], + [ + 84483197, + 26781786 + ], + [ + 14496963, + 13234828 + ], + [ + 39122494, + 64984666 + ], + [ + 19725585, + 33599933 + ], + [ + 62772462, + 78584613 + ], + [ + 87372245, + 14703896 + ], + [ + 31622289, + 2887825 + ], + [ + 84511410, + 8309202 + ], + [ + 96229626, + 63313346 + ], + [ + 41078761, + 12220614 + ], + [ + 17361106, + 42751038 + ], + [ + 96195457, + 73833107 + ], + [ + 14509892, + 39976634 + ], + [ + 80612968, + 43617332 + ], + [ + 89128952, + 89829298 + ], + [ + 12216806, + 13304789 + ], + [ + 51799132, + 60614014 + ], + [ + 1474574, + 96102686 + ], + [ + 78899826, + 18533105 + ], + [ + 11534380, + 48534995 + ], + [ + 34807914, + 27578107 + ], + [ + 89013338, + 98203436 + ], + [ + 87991240, + 66971945 + ], + [ + 12719203, + 38347574 + ], + [ + 4620170, + 23595849 + ], + [ + 36769074, + 76110056 + ], + [ + 78504552, + 53008357 + ], + [ + 42884469, + 37760229 + ], + [ + 31905990, + 2798600 + ], + [ + 17612026, + 29414682 + ], + [ + 85337115, + 81609166 + ], + [ + 78314432, + 28502468 + ], + [ + 55692705, + 64978563 + ], + [ + 6497563, + 6602637 + ], + [ + 61799153, + 64939461 + ], + [ + 58899061, + 22177729 + ], + [ + 42855733, + 45986899 + ], + [ + 74258214, + 35489563 + ], + [ + 6352587, + 32812983 + ], + [ + 29481180, + 4411457 + ], + [ + 81605501, + 2188590 + ], + [ + 64792673, + 74922206 + ], + [ + 50574607, + 41390048 + ], + [ + 68369882, + 776433 + ], + [ + 77970800, + 23759492 + ], + [ + 49064400, + 8586630 + ], + [ + 51797800, + 33692235 + ], + [ + 17113834, + 27299375 + ], + [ + 15537287, + 86441412 + ], + [ + 1787065, + 73898934 + ], + [ + 76982648, + 59532021 + ], + [ + 24520307, + 30878176 + ], + [ + 43814185, + 71434822 + ], + [ + 78024438, + 64876703 + ], + [ + 14826079, + 90251243 + ], + [ + 42307360, + 96217226 + ], + [ + 605210, + 96822305 + ], + [ + 68637381, + 95939204 + ], + [ + 21242340, + 6847164 + ], + [ + 22472658, + 15905765 + ], + [ + 44130533, + 32367889 + ], + [ + 715589, + 96680145 + ], + [ + 67124683, + 50099566 + ], + [ + 97371883, + 57156829 + ], + [ + 88058025, + 58231510 + ], + [ + 92051364, + 50487713 + ], + [ + 90125822, + 47426356 + ], + [ + 75390260, + 28578829 + ], + [ + 27643914, + 28718004 + ], + [ + 32107306, + 18504609 + ], + [ + 70062684, + 90487060 + ], + [ + 80836528, + 70066439 + ], + [ + 47805508, + 34344466 + ], + [ + 55591011, + 73103809 + ], + [ + 17409645, + 78260431 + ], + [ + 41586758, + 17401916 + ], + [ + 7024751, + 49494392 + ], + [ + 31088615, + 30776170 + ], + [ + 57826624, + 82145533 + ], + [ + 44523413, + 92330045 + ], + [ + 35025728, + 8271090 + ], + [ + 15787847, + 25867567 + ], + [ + 26255799, + 20910455 + ], + [ + 88187717, + 11549424 + ], + [ + 66373728, + 7084293 + ], + [ + 83017993, + 92541879 + ], + [ + 19570696, + 44999037 + ], + [ + 98308650, + 34079849 + ], + [ + 53617332, + 38085182 + ], + [ + 52051064, + 59982612 + ], + [ + 49689533, + 76035948 + ], + [ + 37012878, + 45324514 + ], + [ + 63933577, + 57863938 + ], + [ + 85148677, + 32758512 + ], + [ + 52713265, + 24280528 + ], + [ + 42883322, + 9363138 + ], + [ + 67195384, + 85021833 + ], + [ + 63900289, + 27688743 + ], + [ + 25857142, + 83139312 + ], + [ + 59392760, + 7863912 + ], + [ + 65737168, + 93607280 + ], + [ + 7065865, + 28964543 + ], + [ + 37630213, + 93220810 + ], + [ + 19219945, + 1329009 + ], + [ + 17609089, + 98751498 + ], + [ + 38384020, + 39958062 + ], + [ + 26494540, + 34735454 + ], + [ + 45081643, + 51500637 + ], + [ + 74935677, + 73774687 + ], + [ + 2798421, + 40798194 + ], + [ + 79209393, + 29464644 + ], + [ + 42130584, + 55300890 + ], + [ + 71163729, + 53617354 + ], + [ + 43866471, + 71635930 + ], + [ + 66458000, + 37452484 + ], + [ + 25580197, + 35043804 + ], + [ + 84128139, + 45065521 + ], + [ + 18354634, + 27534722 + ], + [ + 37943422, + 83903831 + ], + [ + 1402587, + 68927281 + ], + [ + 84562504, + 95572156 + ], + [ + 38050946, + 84441332 + ], + [ + 92129830, + 48051417 + ], + [ + 46717099, + 23158848 + ], + [ + 17481986, + 45846776 + ], + [ + 12342413, + 84465231 + ], + [ + 9722893, + 95270689 + ], + [ + 16839977, + 50858391 + ], + [ + 53139246, + 55928293 + ], + [ + 77120715, + 87809890 + ], + [ + 58156067, + 84842128 + ], + [ + 46915705, + 66034423 + ], + [ + 27731502, + 57748535 + ], + [ + 81248245, + 87492466 + ], + [ + 2996797, + 4078957 + ], + [ + 43607702, + 17486307 + ], + [ + 8444665, + 14084976 + ], + [ + 65448731, + 24806510 + ], + [ + 51878767, + 6344891 + ], + [ + 77887845, + 37419798 + ], + [ + 52908025, + 4638763 + ], + [ + 60550888, + 7894344 + ], + [ + 63129398, + 94315926 + ], + [ + 57414871, + 60179162 + ], + [ + 17008981, + 80395538 + ], + [ + 45137428, + 48765831 + ], + [ + 44701490, + 22927827 + ], + [ + 77793899, + 42302091 + ], + [ + 66919743, + 7311226 + ], + [ + 78459146, + 88669122 + ], + [ + 4405464, + 48360485 + ], + [ + 27424587, + 1102233 + ], + [ + 47749577, + 78550458 + ], + [ + 75160440, + 13572589 + ], + [ + 75203800, + 81474095 + ], + [ + 57753671, + 38055730 + ], + [ + 52736372, + 33849890 + ], + [ + 48521262, + 75825789 + ], + [ + 97146759, + 66669706 + ], + [ + 73438156, + 16111357 + ], + [ + 68574953, + 66519060 + ], + [ + 12715770, + 5112965 + ], + [ + 6620147, + 59953823 + ], + [ + 94150759, + 45495082 + ], + [ + 13272523, + 90166172 + ], + [ + 94712340, + 25968220 + ], + [ + 58021137, + 68853004 + ], + [ + 98946718, + 50547907 + ], + [ + 93483211, + 37508213 + ], + [ + 39538299, + 69041129 + ], + [ + 89709999, + 93621736 + ], + [ + 15693240, + 94302891 + ], + [ + 51574587, + 16408574 + ], + [ + 35176633, + 57168212 + ], + [ + 46018725, + 80853380 + ], + [ + 43481528, + 11147700 + ], + [ + 61240126, + 56882701 + ], + [ + 65044349, + 39765974 + ], + [ + 53051688, + 91728327 + ], + [ + 24258376, + 64915296 + ], + [ + 66032383, + 12671909 + ], + [ + 7629277, + 94911195 + ], + [ + 11124111, + 82253957 + ], + [ + 79791380, + 41419319 + ], + [ + 76344317, + 77780347 + ], + [ + 48224681, + 44781077 + ], + [ + 85527699, + 41648259 + ], + [ + 22961915, + 44385622 + ], + [ + 6622373, + 16302715 + ], + [ + 2200243, + 25890645 + ], + [ + 27035653, + 76628341 + ], + [ + 39770712, + 13534607 + ], + [ + 57182223, + 53035976 + ], + [ + 44200141, + 82139133 + ], + [ + 83457634, + 24658069 + ], + [ + 6521476, + 47626051 + ], + [ + 67489100, + 59138961 + ], + [ + 72604552, + 48855778 + ], + [ + 25954411, + 41841519 + ], + [ + 63159238, + 5648438 + ], + [ + 46562458, + 99733085 + ], + [ + 902678, + 81856387 + ], + [ + 12651116, + 8994127 + ], + [ + 79250846, + 30187303 + ], + [ + 15319545, + 55528334 + ], + [ + 87164424, + 70254503 + ], + [ + 58650530, + 5572429 + ], + [ + 53708015, + 41382617 + ], + [ + 43561118, + 49897796 + ], + [ + 27561322, + 43137566 + ], + [ + 21190690, + 48600134 + ], + [ + 49318864, + 61024937 + ], + [ + 44825399, + 32503111 + ], + [ + 96786072, + 45046600 + ], + [ + 17659928, + 3735238 + ], + [ + 62140011, + 67706065 + ], + [ + 56103311, + 52909249 + ], + [ + 35493659, + 85969943 + ], + [ + 74831553, + 30134980 + ], + [ + 87401830, + 85970371 + ], + [ + 98060361, + 40041854 + ], + [ + 12434936, + 32317105 + ], + [ + 95777706, + 48152716 + ], + [ + 27612113, + 88173445 + ], + [ + 25098666, + 24645264 + ], + [ + 90483181, + 73935797 + ], + [ + 56832471, + 85919166 + ], + [ + 75662252, + 12297764 + ], + [ + 63002459, + 85784707 + ], + [ + 10819807, + 10165671 + ], + [ + 40921595, + 98990545 + ], + [ + 12798343, + 20619357 + ], + [ + 30027469, + 6415431 + ], + [ + 73580640, + 98420212 + ], + [ + 52807198, + 95504713 + ], + [ + 8293171, + 28682254 + ], + [ + 18059927, + 62978407 + ], + [ + 30538780, + 6421147 + ], + [ + 52958499, + 42466454 + ], + [ + 38120289, + 60118066 + ], + [ + 67917376, + 74613438 + ], + [ + 68361754, + 69160161 + ], + [ + 79903167, + 38219573 + ], + [ + 21954411, + 60689465 + ], + [ + 31244652, + 13749176 + ], + [ + 66294146, + 45057941 + ], + [ + 2060137, + 84141695 + ], + [ + 20430819, + 10715632 + ], + [ + 23996617, + 83484346 + ], + [ + 94218884, + 98698161 + ], + [ + 69487108, + 89482816 + ], + [ + 97184535, + 33610771 + ], + [ + 44211749, + 14671373 + ], + [ + 5514287, + 9502492 + ], + [ + 88101098, + 5013414 + ], + [ + 38963556, + 75535620 + ], + [ + 56084327, + 57101173 + ], + [ + 28334538, + 26487527 + ], + [ + 85266395, + 81528506 + ], + [ + 9494039, + 97545628 + ], + [ + 58790181, + 54741543 + ], + [ + 13301349, + 43270128 + ], + [ + 5750999, + 29538491 + ], + [ + 97642450, + 26825940 + ], + [ + 55019835, + 39638304 + ], + [ + 48830165, + 85135394 + ], + [ + 23159562, + 64431447 + ], + [ + 59673590, + 9955568 + ], + [ + 34073778, + 79151905 + ], + [ + 18172317, + 14066680 + ], + [ + 71446978, + 60034656 + ], + [ + 20321411, + 95399770 + ], + [ + 2303812, + 54146099 + ], + [ + 83727896, + 4753973 + ], + [ + 77666052, + 82537487 + ], + [ + 8504510, + 11863579 + ], + [ + 30861516, + 88679936 + ], + [ + 51531025, + 18170956 + ], + [ + 4982894, + 61556166 + ], + [ + 14116607, + 12262448 + ], + [ + 1441639, + 41882484 + ], + [ + 27380897, + 50933556 + ], + [ + 52524415, + 61795191 + ], + [ + 16569592, + 7397112 + ], + [ + 62037825, + 46646284 + ], + [ + 61386278, + 16020641 + ], + [ + 53046210, + 7848058 + ], + [ + 34378475, + 54596411 + ], + [ + 13624614, + 71289135 + ], + [ + 32755200, + 17608160 + ], + [ + 22457036, + 48353417 + ], + [ + 32600622, + 8612665 + ], + [ + 26139006, + 69936171 + ], + [ + 5950639, + 74789179 + ], + [ + 37012489, + 59734998 + ], + [ + 80539932, + 47373344 + ], + [ + 16624461, + 40006724 + ], + [ + 46033951, + 94672819 + ], + [ + 60470254, + 13575164 + ], + [ + 84383937, + 89443940 + ], + [ + 846642, + 96678031 + ], + [ + 96564944, + 84700850 + ], + [ + 27502347, + 27282049 + ], + [ + 72361318, + 68955721 + ], + [ + 66500069, + 73002404 + ], + [ + 52514433, + 34757960 + ], + [ + 1450313, + 42938823 + ], + [ + 86876268, + 57358458 + ], + [ + 12453853, + 45118581 + ], + [ + 50583548, + 69842703 + ], + [ + 43906547, + 87400587 + ], + [ + 90536618, + 12375136 + ], + [ + 27526323, + 71466227 + ], + [ + 38991576, + 89481579 + ], + [ + 53148216, + 95375231 + ], + [ + 35900862, + 49092716 + ], + [ + 28298510, + 85249784 + ], + [ + 53196322, + 46562660 + ], + [ + 43539867, + 42906797 + ], + [ + 8998010, + 265177 + ], + [ + 1187655, + 56046355 + ], + [ + 125057, + 56862344 + ], + [ + 22039026, + 2669027 + ], + [ + 35386614, + 35227209 + ], + [ + 71944788, + 92378573 + ], + [ + 54217037, + 87412341 + ], + [ + 85214228, + 62866312 + ], + [ + 67132300, + 22116967 + ], + [ + 74871069, + 13996834 + ], + [ + 20695983, + 90851033 + ], + [ + 93968606, + 56742200 + ], + [ + 99510877, + 45409623 + ], + [ + 56474241, + 95729346 + ], + [ + 86943920, + 18240600 + ], + [ + 10175086, + 57559832 + ], + [ + 32076761, + 46728358 + ], + [ + 72139712, + 80112435 + ], + [ + 63082507, + 65611646 + ], + [ + 6216223, + 43482408 + ], + [ + 76875319, + 69632005 + ], + [ + 4090862, + 74762890 + ], + [ + 64638300, + 80488937 + ], + [ + 98887895, + 51021295 + ], + [ + 52820265, + 56518824 + ], + [ + 59864524, + 71978939 + ], + [ + 53614235, + 7561196 + ], + [ + 87467810, + 70045916 + ], + [ + 16762818, + 28608977 + ], + [ + 99902973, + 90259515 + ], + [ + 30363007, + 70200123 + ], + [ + 92750493, + 78807421 + ], + [ + 51356492, + 36204224 + ], + [ + 42783094, + 83357675 + ], + [ + 29740768, + 60449000 + ], + [ + 78011930, + 34494642 + ], + [ + 48881186, + 48606417 + ], + [ + 74740856, + 73506027 + ], + [ + 5348318, + 80584633 + ], + [ + 2488710, + 54458958 + ], + [ + 25528752, + 75126804 + ], + [ + 63097486, + 54991861 + ], + [ + 64148462, + 31072277 + ], + [ + 16399974, + 63788508 + ], + [ + 21167133, + 80949880 + ], + [ + 8808045, + 45883549 + ], + [ + 96330182, + 4299363 + ], + [ + 21977748, + 1827737 + ], + [ + 21059133, + 91867496 + ], + [ + 83876309, + 51125643 + ], + [ + 1378142, + 82829820 + ], + [ + 15519204, + 8143318 + ], + [ + 36644990, + 99194630 + ], + [ + 36958408, + 10501866 + ], + [ + 76802707, + 22343735 + ], + [ + 71760755, + 22678995 + ], + [ + 65002346, + 79387952 + ], + [ + 90038226, + 45926949 + ], + [ + 48120706, + 55609888 + ], + [ + 81688308, + 22859825 + ], + [ + 17507868, + 1884044 + ], + [ + 34182521, + 54787289 + ], + [ + 61670132, + 51320348 + ], + [ + 32073914, + 54701863 + ], + [ + 37143219, + 45760887 + ], + [ + 48038615, + 31037847 + ], + [ + 85890928, + 1666850 + ], + [ + 77122484, + 98221859 + ], + [ + 67682638, + 87923109 + ], + [ + 2865178, + 7343466 + ], + [ + 37956373, + 89861916 + ], + [ + 71718965, + 69235686 + ], + [ + 13938609, + 97722283 + ], + [ + 43292802, + 93929163 + ], + [ + 26129771, + 69802140 + ], + [ + 72962046, + 28849889 + ], + [ + 93932893, + 9843343 + ], + [ + 93903242, + 49564839 + ], + [ + 80579908, + 39049457 + ], + [ + 30296192, + 99872110 + ], + [ + 67838444, + 24570634 + ], + [ + 78676089, + 39106403 + ], + [ + 56099796, + 58475768 + ], + [ + 5705325, + 2047048 + ], + [ + 84832465, + 73231398 + ], + [ + 45501880, + 12125036 + ], + [ + 55443944, + 58399981 + ], + [ + 72381623, + 78191557 + ], + [ + 68327953, + 41535123 + ], + [ + 65643331, + 78199344 + ], + [ + 15869211, + 56052249 + ], + [ + 69836533, + 91363729 + ], + [ + 95501855, + 66367591 + ], + [ + 2139, + 11435734 + ], + [ + 41846326, + 88965080 + ], + [ + 90859107, + 4697059 + ], + [ + 61890740, + 20036987 + ], + [ + 61412971, + 76043339 + ], + [ + 5481964, + 10003715 + ], + [ + 78025404, + 70394609 + ], + [ + 99165445, + 85666169 + ], + [ + 13314320, + 22487047 + ], + [ + 1010972, + 63684818 + ], + [ + 5425082, + 85570296 + ], + [ + 92195611, + 10757221 + ], + [ + 42955558, + 29744152 + ], + [ + 41609433, + 13479669 + ], + [ + 13804491, + 11832759 + ], + [ + 83414812, + 89742470 + ], + [ + 7465254, + 7494513 + ], + [ + 97070619, + 53108810 + ], + [ + 65669493, + 14237891 + ], + [ + 66325631, + 55018808 + ], + [ + 22432033, + 61095430 + ], + [ + 43018803, + 51068905 + ], + [ + 73535554, + 71905704 + ], + [ + 91214375, + 14105493 + ], + [ + 25471416, + 29429778 + ], + [ + 8419899, + 55508592 + ], + [ + 70349125, + 36428393 + ], + [ + 18803182, + 56560691 + ], + [ + 50938790, + 42862820 + ], + [ + 45568781, + 15059226 + ], + [ + 63190176, + 95337781 + ], + [ + 50034954, + 44119468 + ], + [ + 78774803, + 32850918 + ], + [ + 82011868, + 44932643 + ], + [ + 2554293, + 60853787 + ], + [ + 81176227, + 78035630 + ], + [ + 59867671, + 84549029 + ], + [ + 74321042, + 49538979 + ], + [ + 41920203, + 26703639 + ], + [ + 24890149, + 78902101 + ], + [ + 91084775, + 30989121 + ], + [ + 14975742, + 5805679 + ], + [ + 75510595, + 626656 + ], + [ + 92388288, + 83201214 + ], + [ + 13265481, + 19151856 + ], + [ + 58163715, + 59855958 + ], + [ + 68021308, + 67052951 + ], + [ + 83477462, + 41547163 + ], + [ + 80374359, + 25107179 + ], + [ + 45177257, + 22403135 + ], + [ + 77215584, + 79591996 + ], + [ + 99052520, + 57750474 + ], + [ + 21926365, + 27042306 + ], + [ + 2700610, + 21514813 + ], + [ + 22912001, + 21908670 + ], + [ + 33799401, + 51641910 + ], + [ + 6739415, + 77293124 + ], + [ + 64330678, + 30627294 + ], + [ + 3660592, + 904276 + ], + [ + 61045888, + 82445672 + ], + [ + 91404614, + 91636264 + ], + [ + 74628275, + 11616217 + ], + [ + 76770079, + 95891502 + ], + [ + 62801134, + 5833797 + ], + [ + 19298357, + 30325226 + ], + [ + 67022341, + 57053899 + ], + [ + 86444434, + 56966556 + ], + [ + 61840398, + 12531610 + ], + [ + 56908382, + 63942299 + ], + [ + 42793907, + 49187042 + ], + [ + 92920528, + 62765432 + ], + [ + 88381837, + 69655797 + ], + [ + 50289072, + 1691341 + ], + [ + 70849882, + 4671765 + ], + [ + 46423884, + 12396142 + ], + [ + 77948198, + 33995566 + ], + [ + 89835456, + 29848034 + ], + [ + 86386021, + 86856738 + ], + [ + 9416206, + 97379209 + ], + [ + 91769586, + 53072990 + ], + [ + 32911924, + 55388706 + ], + [ + 22936836, + 81606690 + ], + [ + 59385398, + 36225403 + ], + [ + 62509138, + 53705870 + ], + [ + 78121914, + 90120302 + ], + [ + 13036855, + 64322813 + ], + [ + 64993535, + 34241183 + ], + [ + 36022206, + 19845658 + ], + [ + 60911492, + 37021164 + ], + [ + 35469915, + 50219306 + ], + [ + 13325313, + 59198443 + ], + [ + 69272449, + 21284993 + ], + [ + 61647945, + 19972773 + ], + [ + 63415257, + 49147812 + ], + [ + 90659004, + 85437598 + ], + [ + 9536471, + 29795585 + ], + [ + 83076328, + 99716828 + ], + [ + 98106699, + 63805319 + ], + [ + 43492579, + 11612805 + ], + [ + 797601, + 59138087 + ], + [ + 31378845, + 62486470 + ], + [ + 5886368, + 13785177 + ], + [ + 48616793, + 98636732 + ], + [ + 69941429, + 38916704 + ], + [ + 2093287, + 19731879 + ], + [ + 90740091, + 25574266 + ], + [ + 68751915, + 4393598 + ], + [ + 49863714, + 90143644 + ], + [ + 34394003, + 45038123 + ], + [ + 90379241, + 32929097 + ], + [ + 36341344, + 44374199 + ], + [ + 98860949, + 76764144 + ], + [ + 91445409, + 40205214 + ], + [ + 3494211, + 56889713 + ], + [ + 99064990, + 12783671 + ], + [ + 67875362, + 11625276 + ], + [ + 72996622, + 86887314 + ], + [ + 80626255, + 48148055 + ], + [ + 63704465, + 9386044 + ], + [ + 88103744, + 43230480 + ], + [ + 35580814, + 87244302 + ], + [ + 81938263, + 43776747 + ], + [ + 81202875, + 28276302 + ], + [ + 82121693, + 12300649 + ], + [ + 20267195, + 39577858 + ], + [ + 57923640, + 32159236 + ], + [ + 5609361, + 98154305 + ], + [ + 22573901, + 63696983 + ], + [ + 44021434, + 14134705 + ], + [ + 39379926, + 52120342 + ], + [ + 5367400, + 76955451 + ], + [ + 89004855, + 67317596 + ], + [ + 7356636, + 7697795 + ], + [ + 84629737, + 67331556 + ], + [ + 70795067, + 66657636 + ], + [ + 19276459, + 95222921 + ], + [ + 13014133, + 64908205 + ], + [ + 3024081, + 57656108 + ], + [ + 25679608, + 98708357 + ], + [ + 4206844, + 6058954 + ], + [ + 87851217, + 97119574 + ], + [ + 16328972, + 47768006 + ], + [ + 46019280, + 98943630 + ], + [ + 33823353, + 88976282 + ], + [ + 67023258, + 77554865 + ], + [ + 9089772, + 81945165 + ], + [ + 52802632, + 28154514 + ], + [ + 45426397, + 4957708 + ], + [ + 71815585, + 52214723 + ], + [ + 75305787, + 42456030 + ], + [ + 37241805, + 25839072 + ], + [ + 18976586, + 54759568 + ], + [ + 70235145, + 7306945 + ], + [ + 14504471, + 26469639 + ], + [ + 7617602, + 31752319 + ], + [ + 63536231, + 87708749 + ], + [ + 8645833, + 2144584 + ], + [ + 65769222, + 84877179 + ], + [ + 29221191, + 91768797 + ], + [ + 89299451, + 78423721 + ], + [ + 3405826, + 97245121 + ], + [ + 1730709, + 50676175 + ], + [ + 31337156, + 121379 + ], + [ + 85351717, + 59867736 + ], + [ + 29067122, + 12725771 + ], + [ + 64617483, + 21945244 + ], + [ + 80063117, + 56885661 + ], + [ + 49712642, + 40095059 + ], + [ + 54890011, + 5827273 + ], + [ + 47711090, + 57031930 + ], + [ + 23031674, + 281281 + ], + [ + 99372296, + 30176868 + ], + [ + 76749465, + 30051083 + ], + [ + 2886963, + 32668918 + ], + [ + 86819526, + 53380691 + ], + [ + 98989476, + 13280859 + ], + [ + 27614569, + 94457716 + ], + [ + 30965160, + 63236882 + ], + [ + 10282719, + 2116505 + ], + [ + 7066747, + 369232 + ], + [ + 63179150, + 64355835 + ], + [ + 29479233, + 97025409 + ], + [ + 4614908, + 80501999 + ], + [ + 89866680, + 83010940 + ], + [ + 46098866, + 47778290 + ], + [ + 10149974, + 2888827 + ], + [ + 45359121, + 15296865 + ], + [ + 77092251, + 42820260 + ], + [ + 36247554, + 72923482 + ], + [ + 39228188, + 77001505 + ], + [ + 17947909, + 84769370 + ], + [ + 76259525, + 67425196 + ], + [ + 3695011, + 33966579 + ], + [ + 4291914, + 44863950 + ], + [ + 4858750, + 60068553 + ], + [ + 85399066, + 30197108 + ], + [ + 95236395, + 29141862 + ], + [ + 53521624, + 26054112 + ], + [ + 41425807, + 43253975 + ], + [ + 39743495, + 33534750 + ], + [ + 90744431, + 50680860 + ], + [ + 48183919, + 88699239 + ], + [ + 34447805, + 34922638 + ], + [ + 86009208, + 28931514 + ], + [ + 88873885, + 88371746 + ], + [ + 48234918, + 75915866 + ], + [ + 88780656, + 93689721 + ], + [ + 8265591, + 24679730 + ], + [ + 90905683, + 79143177 + ], + [ + 96687145, + 16443121 + ], + [ + 6184767, + 26751816 + ], + [ + 48142074, + 76377338 + ], + [ + 12984969, + 71224720 + ], + [ + 55425390, + 38846662 + ], + [ + 54381515, + 31005119 + ], + [ + 2024659, + 58876170 + ], + [ + 59812226, + 3555784 + ], + [ + 67961609, + 85145903 + ], + [ + 61926031, + 24757827 + ], + [ + 91389965, + 65832328 + ], + [ + 71127731, + 7238795 + ], + [ + 70470354, + 47409949 + ], + [ + 10599660, + 69757135 + ], + [ + 97795984, + 47452853 + ], + [ + 27014783, + 72472146 + ], + [ + 62242999, + 14445287 + ], + [ + 93169956, + 61767121 + ], + [ + 1318795, + 6633054 + ], + [ + 41854232, + 83371739 + ], + [ + 59972106, + 54525617 + ], + [ + 80274072, + 50640849 + ], + [ + 58962778, + 80187423 + ], + [ + 30139587, + 94694566 + ], + [ + 58843222, + 18490948 + ], + [ + 93459021, + 20012262 + ], + [ + 55053281, + 69031766 + ], + [ + 64759278, + 70317403 + ], + [ + 98296154, + 20132132 + ], + [ + 59386867, + 86319952 + ], + [ + 49639941, + 52460822 + ], + [ + 82866839, + 20045982 + ], + [ + 98053589, + 19139858 + ], + [ + 75816357, + 82676482 + ], + [ + 710379, + 77213393 + ], + [ + 32562279, + 64029810 + ], + [ + 28940634, + 9468285 + ], + [ + 3649085, + 23133686 + ], + [ + 20964802, + 12416283 + ], + [ + 65998470, + 30211731 + ], + [ + 70029174, + 11988140 + ], + [ + 44662613, + 31753992 + ], + [ + 25997511, + 75630024 + ], + [ + 67183301, + 56676167 + ], + [ + 97500267, + 46400170 + ], + [ + 91173888, + 54902242 + ], + [ + 7770654, + 82356313 + ], + [ + 40741538, + 14162608 + ], + [ + 80065633, + 20758832 + ], + [ + 16501751, + 13298613 + ], + [ + 3718607, + 19510244 + ], + [ + 39860534, + 90888927 + ], + [ + 44989860, + 90011937 + ], + [ + 21604979, + 52200618 + ], + [ + 76439027, + 8866933 + ], + [ + 29817677, + 52247651 + ], + [ + 1325292, + 77365071 + ], + [ + 68851480, + 27544875 + ], + [ + 95193251, + 59643764 + ], + [ + 99142784, + 30358156 + ], + [ + 12254375, + 86032244 + ], + [ + 45313781, + 67810275 + ], + [ + 63095617, + 48892215 + ], + [ + 51113422, + 78371276 + ], + [ + 1376439, + 15133002 + ], + [ + 53339613, + 41228881 + ], + [ + 18915389, + 47927863 + ], + [ + 55786652, + 23820254 + ], + [ + 86627895, + 22320137 + ], + [ + 25784615, + 35035512 + ], + [ + 99290078, + 51950438 + ], + [ + 61115654, + 28981700 + ], + [ + 68574443, + 82918555 + ], + [ + 83844958, + 58002761 + ], + [ + 27457506, + 47272699 + ], + [ + 80029253, + 70090962 + ], + [ + 8153366, + 49407953 + ], + [ + 79108012, + 25217293 + ], + [ + 79755764, + 68217735 + ], + [ + 1265353, + 70461294 + ], + [ + 55937345, + 52240442 + ], + [ + 82386184, + 94744568 + ], + [ + 21222910, + 38571009 + ], + [ + 68200011, + 50231475 + ], + [ + 53907713, + 86312375 + ], + [ + 47621846, + 75970690 + ], + [ + 34423058, + 67932824 + ], + [ + 20253971, + 35728509 + ], + [ + 10910637, + 54912154 + ], + [ + 88829993, + 72123463 + ], + [ + 10512407, + 25959039 + ], + [ + 51999893, + 872581 + ], + [ + 3963578, + 15670598 + ], + [ + 29907174, + 12271616 + ], + [ + 39600750, + 5711402 + ], + [ + 95475448, + 48780598 + ], + [ + 16802032, + 16076527 + ], + [ + 49170020, + 22765124 + ], + [ + 63248792, + 49348676 + ], + [ + 3734369, + 49403921 + ], + [ + 76830460, + 89432449 + ], + [ + 66371223, + 87284650 + ], + [ + 20814615, + 94297686 + ], + [ + 93419733, + 85094583 + ], + [ + 58907672, + 11776975 + ], + [ + 43440856, + 7702294 + ], + [ + 85021745, + 43490967 + ], + [ + 60544320, + 37720897 + ], + [ + 14344135, + 47778642 + ], + [ + 84303846, + 57029512 + ], + [ + 40740726, + 7351010 + ], + [ + 93064833, + 6310517 + ], + [ + 64868544, + 54279065 + ], + [ + 89835581, + 92288433 + ], + [ + 2454391, + 978482 + ], + [ + 65803113, + 84558654 + ], + [ + 6857807, + 65999345 + ], + [ + 84364477, + 99660931 + ], + [ + 51894659, + 68084042 + ], + [ + 78324367, + 73051504 + ], + [ + 2857297, + 78283392 + ], + [ + 86379669, + 94291588 + ], + [ + 90534645, + 43026904 + ], + [ + 25162998, + 23880732 + ], + [ + 66916033, + 78903124 + ], + [ + 10640119, + 43251337 + ], + [ + 22426295, + 62300908 + ], + [ + 11560314, + 44165905 + ], + [ + 63748855, + 83015585 + ], + [ + 62024217, + 54290712 + ], + [ + 88796555, + 84564710 + ], + [ + 21572652, + 58646446 + ], + [ + 69925821, + 64340219 + ], + [ + 27281022, + 56866562 + ], + [ + 69304094, + 92420279 + ], + [ + 27852161, + 11661572 + ], + [ + 3990494, + 28542327 + ], + [ + 38376732, + 73944761 + ], + [ + 38092953, + 49876236 + ], + [ + 6245812, + 3527463 + ], + [ + 90541742, + 43399242 + ], + [ + 55360600, + 23923454 + ], + [ + 77607810, + 57619231 + ], + [ + 90239054, + 650225 + ], + [ + 13858705, + 26658882 + ], + [ + 88243752, + 69554425 + ], + [ + 78162558, + 87960026 + ], + [ + 83312128, + 39979499 + ], + [ + 60373420, + 38696611 + ], + [ + 90144947, + 4415954 + ], + [ + 1043383, + 39572331 + ], + [ + 73600947, + 48277413 + ], + [ + 73323726, + 99964730 + ], + [ + 36412994, + 22314000 + ], + [ + 3704622, + 17940947 + ], + [ + 5926635, + 36286467 + ], + [ + 86203887, + 46050741 + ], + [ + 94991592, + 41712080 + ], + [ + 61835376, + 54303147 + ], + [ + 84586142, + 42945612 + ], + [ + 628664, + 14936856 + ], + [ + 8150380, + 1540867 + ], + [ + 25111873, + 11161209 + ], + [ + 48451169, + 14331649 + ], + [ + 74543241, + 98669190 + ], + [ + 19111767, + 67563228 + ], + [ + 28818933, + 97115843 + ], + [ + 10467218, + 66900072 + ], + [ + 56992086, + 53090329 + ], + [ + 79909522, + 57384748 + ], + [ + 9926770, + 61639851 + ], + [ + 83938101, + 71682041 + ], + [ + 2537429, + 78916483 + ], + [ + 68934148, + 54199105 + ], + [ + 81672397, + 96876524 + ], + [ + 16024993, + 71928741 + ], + [ + 20583367, + 68464485 + ], + [ + 79379721, + 9768666 + ], + [ + 37944703, + 79541801 + ], + [ + 19024414, + 87384162 + ], + [ + 66852874, + 73740031 + ], + [ + 96177499, + 67765258 + ], + [ + 31199464, + 43432399 + ], + [ + 3508733, + 39502444 + ], + [ + 33705608, + 74914834 + ], + [ + 46479439, + 11358298 + ], + [ + 25485159, + 90591407 + ], + [ + 20399093, + 93462483 + ], + [ + 1650116, + 42041913 + ], + [ + 44961328, + 10542733 + ], + [ + 6126768, + 52756289 + ], + [ + 66045432, + 9033201 + ], + [ + 58834340, + 24101763 + ], + [ + 83705599, + 3797833 + ], + [ + 88583587, + 91626983 + ], + [ + 76198194, + 58990864 + ], + [ + 74219148, + 18322614 + ], + [ + 6632537, + 6567075 + ], + [ + 31283612, + 14788753 + ], + [ + 79972337, + 8766908 + ], + [ + 31463165, + 9676322 + ], + [ + 61866682, + 58685850 + ], + [ + 44352145, + 45713486 + ], + [ + 62360633, + 13219335 + ], + [ + 43766259, + 5834385 + ], + [ + 88810076, + 85216823 + ], + [ + 15130733, + 54565541 + ], + [ + 40165373, + 50523029 + ], + [ + 90067239, + 1467643 + ], + [ + 90442889, + 695568 + ], + [ + 54457360, + 28529263 + ], + [ + 14937404, + 51856266 + ], + [ + 54153119, + 86824746 + ], + [ + 12032120, + 31769628 + ], + [ + 42858168, + 58174060 + ], + [ + 35338524, + 61091651 + ], + [ + 11295798, + 37748548 + ], + [ + 85316778, + 26953376 + ], + [ + 85831030, + 84532236 + ], + [ + 87907158, + 83063071 + ], + [ + 97236463, + 29427940 + ], + [ + 29094685, + 46146847 + ], + [ + 95855656, + 39690480 + ], + [ + 85621328, + 18504773 + ], + [ + 76255673, + 37540455 + ], + [ + 94541646, + 83445667 + ], + [ + 88778721, + 51877886 + ], + [ + 63802029, + 33866212 + ], + [ + 38236429, + 79825575 + ], + [ + 61742450, + 3410515 + ], + [ + 3506879, + 40474938 + ], + [ + 90159044, + 4947252 + ], + [ + 20209846, + 31979046 + ], + [ + 4369758, + 92546194 + ], + [ + 80780046, + 14942471 + ], + [ + 34983097, + 92807877 + ], + [ + 16438187, + 98037809 + ], + [ + 88950280, + 24917811 + ], + [ + 76904533, + 27942449 + ], + [ + 50641017, + 84929087 + ], + [ + 64008971, + 16495400 + ], + [ + 88330485, + 50155544 + ], + [ + 71590306, + 14842614 + ], + [ + 97680403, + 10091290 + ], + [ + 98483203, + 89025606 + ], + [ + 22345290, + 25012142 + ], + [ + 1171879, + 1639490 + ], + [ + 29064234, + 53971839 + ], + [ + 75379062, + 2396049 + ], + [ + 9939956, + 69156803 + ], + [ + 36494415, + 93078864 + ], + [ + 863203, + 33907456 + ], + [ + 81404471, + 26494639 + ], + [ + 83035913, + 70114114 + ], + [ + 75340973, + 72087964 + ], + [ + 18308102, + 75952114 + ], + [ + 81359411, + 57538135 + ], + [ + 59126973, + 47151480 + ], + [ + 21041924, + 90396269 + ], + [ + 32299444, + 32327532 + ], + [ + 70327892, + 13122829 + ], + [ + 56513898, + 15032193 + ], + [ + 60769742, + 14621781 + ], + [ + 47931244, + 7642850 + ], + [ + 32104914, + 59736303 + ], + [ + 67350772, + 78405571 + ], + [ + 7839163, + 77009433 + ], + [ + 40036804, + 38716126 + ], + [ + 79856911, + 87131957 + ], + [ + 61526882, + 31763872 + ], + [ + 20876970, + 80332738 + ], + [ + 80214375, + 26647798 + ], + [ + 64965437, + 77043864 + ], + [ + 18321786, + 48055272 + ], + [ + 85958609, + 78177854 + ], + [ + 17120578, + 95928118 + ], + [ + 49072878, + 92025164 + ], + [ + 18590755, + 73643370 + ], + [ + 74389874, + 52945580 + ], + [ + 44659668, + 51381115 + ], + [ + 43338954, + 99321803 + ], + [ + 45067996, + 68766141 + ], + [ + 68198015, + 92217690 + ], + [ + 2263465, + 72418456 + ], + [ + 95119190, + 61026743 + ], + [ + 49978192, + 80874983 + ], + [ + 5361585, + 20413605 + ], + [ + 93690448, + 71910115 + ], + [ + 37479582, + 97396934 + ], + [ + 31622795, + 33752239 + ], + [ + 41609476, + 31015984 + ], + [ + 80173330, + 50952226 + ], + [ + 47990735, + 1116581 + ], + [ + 4582126, + 25184371 + ], + [ + 59591848, + 75535000 + ], + [ + 55194110, + 15946532 + ], + [ + 34593371, + 97460543 + ], + [ + 88168679, + 54530162 + ], + [ + 56647057, + 18630028 + ], + [ + 79088096, + 94700888 + ], + [ + 66650175, + 24560833 + ], + [ + 35397250, + 16305452 + ], + [ + 82730298, + 23196234 + ], + [ + 65692049, + 82558359 + ], + [ + 86202158, + 35805389 + ], + [ + 58814081, + 29592932 + ], + [ + 55990278, + 14958637 + ], + [ + 65859198, + 94336241 + ], + [ + 64901687, + 77327355 + ], + [ + 66311588, + 44386957 + ], + [ + 81421851, + 13637917 + ], + [ + 10492305, + 99002399 + ], + [ + 34373367, + 22971209 + ], + [ + 71867130, + 41129790 + ], + [ + 5834411, + 43137813 + ], + [ + 35407919, + 28238588 + ], + [ + 31450183, + 51385920 + ], + [ + 93301941, + 9413786 + ], + [ + 67526476, + 29050516 + ], + [ + 70830918, + 59696776 + ], + [ + 735039, + 8661012 + ], + [ + 10344864, + 48876785 + ], + [ + 92313878, + 41107959 + ], + [ + 90993086, + 28951642 + ], + [ + 47508133, + 55728383 + ], + [ + 63546529, + 63080615 + ], + [ + 48313423, + 4578720 + ], + [ + 58510349, + 49672653 + ], + [ + 32441785, + 56539828 + ], + [ + 49128408, + 61389410 + ], + [ + 10114989, + 20151327 + ], + [ + 65069189, + 81577104 + ], + [ + 34594602, + 93037438 + ], + [ + 62440725, + 55560029 + ], + [ + 46992270, + 28302809 + ], + [ + 14170677, + 22089429 + ], + [ + 28791203, + 96322191 + ], + [ + 64284110, + 48501089 + ], + [ + 76247731, + 71951030 + ], + [ + 44203130, + 67359832 + ], + [ + 76432904, + 46023595 + ], + [ + 88371074, + 56638153 + ], + [ + 44654050, + 61461321 + ], + [ + 94277640, + 83734996 + ], + [ + 27318963, + 86611877 + ], + [ + 77211738, + 56574902 + ], + [ + 28588263, + 47140155 + ], + [ + 45454465, + 51753857 + ], + [ + 57710358, + 8886450 + ], + [ + 57040609, + 56489939 + ], + [ + 89710432, + 92001955 + ], + [ + 16011827, + 1609470 + ], + [ + 70019176, + 53983126 + ], + [ + 46776018, + 9916974 + ], + [ + 78013159, + 84247724 + ], + [ + 49371060, + 76230698 + ], + [ + 66715735, + 19648644 + ], + [ + 61528107, + 16815734 + ], + [ + 57266282, + 67908434 + ], + [ + 18525633, + 96401420 + ], + [ + 79357193, + 51061434 + ], + [ + 51407192, + 78572172 + ], + [ + 67771709, + 11273928 + ], + [ + 26498957, + 42945903 + ], + [ + 89870922, + 47770750 + ], + [ + 38869780, + 22409141 + ], + [ + 97452193, + 11218274 + ], + [ + 11219314, + 74098498 + ], + [ + 98886748, + 96879725 + ], + [ + 70265370, + 15720720 + ], + [ + 46316969, + 40291668 + ], + [ + 54769907, + 54671925 + ], + [ + 80943489, + 64972022 + ], + [ + 39158339, + 65131185 + ], + [ + 42568919, + 61521766 + ], + [ + 40025201, + 54828238 + ], + [ + 45154945, + 53838517 + ], + [ + 33696675, + 25079182 + ], + [ + 85083884, + 97922810 + ], + [ + 11435122, + 58840487 + ], + [ + 90420107, + 28852999 + ], + [ + 72839952, + 19011744 + ], + [ + 51001903, + 56116414 + ], + [ + 99838933, + 73406366 + ], + [ + 59806309, + 94406904 + ], + [ + 67319621, + 4638344 + ], + [ + 33871849, + 76537464 + ], + [ + 13740459, + 30836534 + ], + [ + 26761068, + 60552297 + ], + [ + 44794400, + 74354944 + ], + [ + 49537912, + 90602721 + ], + [ + 92328840, + 33507571 + ], + [ + 2312078, + 23529867 + ], + [ + 16080718, + 73278709 + ], + [ + 83200137, + 14582939 + ], + [ + 2755373, + 63307401 + ], + [ + 26862223, + 60245148 + ], + [ + 95688195, + 89725383 + ], + [ + 17288993, + 97658244 + ], + [ + 43023425, + 58739851 + ], + [ + 50830546, + 15667063 + ], + [ + 84347015, + 48236956 + ], + [ + 1549646, + 32040013 + ], + [ + 77072056, + 27728583 + ], + [ + 64705175, + 16465426 + ], + [ + 88079702, + 99736415 + ], + [ + 58069839, + 9078579 + ], + [ + 21360354, + 1229490 + ], + [ + 5261150, + 51799129 + ], + [ + 50608574, + 92936479 + ], + [ + 9829505, + 58694484 + ], + [ + 10904915, + 97179974 + ], + [ + 38512132, + 3247815 + ], + [ + 60215178, + 85001491 + ], + [ + 33708371, + 98963205 + ], + [ + 54358490, + 68427190 + ], + [ + 85355524, + 57660022 + ], + [ + 1910017, + 67322678 + ], + [ + 36400027, + 74090016 + ], + [ + 2453983, + 37692381 + ], + [ + 28059559, + 40292394 + ], + [ + 93666665, + 90237237 + ], + [ + 20995536, + 97866080 + ], + [ + 16060821, + 28233105 + ], + [ + 76712388, + 66031819 + ], + [ + 5560470, + 75196884 + ], + [ + 40572048, + 39684106 + ], + [ + 31172431, + 58633106 + ], + [ + 5656651, + 63099507 + ], + [ + 54033301, + 95511163 + ], + [ + 95569209, + 35706022 + ], + [ + 60963753, + 5166277 + ], + [ + 5208678, + 14555270 + ], + [ + 35366347, + 35832295 + ], + [ + 75822963, + 10117005 + ], + [ + 11508349, + 75315243 + ], + [ + 30263577, + 70448931 + ], + [ + 24513104, + 87386171 + ], + [ + 70680826, + 38032 + ], + [ + 647472, + 5197666 + ], + [ + 42504790, + 64561469 + ], + [ + 57040184, + 39640548 + ], + [ + 1504602, + 52443390 + ], + [ + 57460307, + 84159086 + ], + [ + 4890056, + 50106129 + ], + [ + 7108660, + 67802635 + ], + [ + 12780062, + 12796280 + ], + [ + 45164218, + 29259640 + ], + [ + 80459066, + 7909793 + ], + [ + 23748664, + 16334674 + ], + [ + 65074015, + 22858570 + ], + [ + 62996730, + 25048907 + ], + [ + 56009251, + 97024714 + ], + [ + 98563611, + 39742722 + ], + [ + 49452350, + 16164318 + ], + [ + 26622527, + 30198852 + ], + [ + 78297444, + 62317923 + ], + [ + 81476661, + 2904240 + ], + [ + 59460441, + 45328932 + ], + [ + 87977698, + 99448076 + ], + [ + 52084961, + 13399867 + ], + [ + 89870811, + 44900696 + ], + [ + 45864098, + 84957829 + ], + [ + 46352149, + 24299885 + ], + [ + 97739889, + 71291479 + ], + [ + 98117489, + 67804716 + ], + [ + 36367697, + 76662148 + ], + [ + 38677665, + 3950518 + ], + [ + 79593416, + 67264812 + ], + [ + 97136286, + 70275715 + ], + [ + 87132431, + 68570409 + ], + [ + 97402105, + 21265421 + ], + [ + 75067882, + 19145469 + ], + [ + 4852423, + 74494334 + ], + [ + 10760385, + 70821294 + ], + [ + 60751245, + 16658065 + ], + [ + 68162795, + 69881965 + ], + [ + 24696334, + 30303787 + ], + [ + 27926881, + 38810159 + ], + [ + 63216776, + 8075460 + ], + [ + 76590421, + 11490649 + ], + [ + 23226362, + 37718481 + ], + [ + 19851298, + 85946859 + ], + [ + 74327037, + 94101406 + ], + [ + 96332299, + 18277528 + ], + [ + 7814056, + 83311266 + ], + [ + 59016683, + 34709118 + ], + [ + 44848373, + 28931359 + ], + [ + 99011511, + 24295901 + ], + [ + 98276333, + 98147167 + ], + [ + 89863112, + 86923229 + ], + [ + 20277886, + 38084381 + ], + [ + 64941723, + 65410831 + ], + [ + 57438532, + 96630085 + ], + [ + 16867620, + 98875661 + ], + [ + 42372977, + 54195593 + ], + [ + 96891903, + 46083619 + ], + [ + 56788687, + 69264047 + ], + [ + 53481379, + 23514404 + ], + [ + 97417026, + 31349770 + ], + [ + 15690990, + 75951183 + ], + [ + 51855630, + 31026822 + ], + [ + 60927643, + 21929827 + ], + [ + 51629188, + 43601564 + ], + [ + 97657656, + 80663317 + ], + [ + 4545303, + 75441043 + ], + [ + 79295447, + 8336207 + ], + [ + 83619267, + 51480343 + ], + [ + 32170481, + 31298214 + ], + [ + 26946128, + 86070690 + ], + [ + 46122930, + 99978499 + ], + [ + 43264525, + 35218914 + ], + [ + 77831339, + 58776380 + ], + [ + 38531643, + 5506327 + ], + [ + 21887155, + 42982424 + ], + [ + 35134706, + 76609905 + ], + [ + 94417829, + 22040794 + ], + [ + 98657244, + 80912251 + ], + [ + 35971203, + 18248100 + ], + [ + 49080440, + 49752985 + ], + [ + 43797979, + 76365630 + ], + [ + 35203328, + 32269382 + ], + [ + 77909638, + 31120335 + ], + [ + 1339067, + 23832813 + ], + [ + 85414325, + 89024598 + ], + [ + 6845802, + 25919271 + ], + [ + 43717501, + 52555640 + ], + [ + 20838418, + 19498171 + ], + [ + 42757264, + 26861437 + ], + [ + 1458602, + 68544613 + ], + [ + 22986101, + 643906 + ], + [ + 61010592, + 517906 + ], + [ + 75944202, + 32030752 + ], + [ + 50891806, + 57487676 + ], + [ + 39706100, + 83382515 + ], + [ + 85465447, + 24942329 + ], + [ + 99428381, + 73271407 + ], + [ + 61234302, + 88597146 + ], + [ + 907867, + 4656465 + ], + [ + 62961925, + 72521039 + ], + [ + 42410186, + 86618280 + ], + [ + 54711568, + 16199662 + ], + [ + 7183257, + 74493791 + ], + [ + 54896707, + 12568564 + ], + [ + 69311659, + 86847523 + ], + [ + 89044693, + 78037234 + ], + [ + 92514673, + 1443125 + ], + [ + 13941737, + 42254916 + ], + [ + 26328027, + 97796850 + ], + [ + 72146547, + 41815383 + ], + [ + 89724550, + 34742804 + ], + [ + 79182702, + 27897283 + ], + [ + 24678563, + 55032785 + ], + [ + 79157504, + 53508906 + ], + [ + 52015251, + 18299257 + ], + [ + 14156156, + 50091243 + ], + [ + 1801147, + 16214444 + ], + [ + 53086480, + 98797351 + ], + [ + 97282672, + 43786197 + ], + [ + 95284176, + 35165232 + ], + [ + 62048947, + 2540175 + ], + [ + 68045521, + 90005477 + ], + [ + 55483894, + 99503147 + ], + [ + 95783425, + 21649080 + ], + [ + 65443936, + 76933471 + ], + [ + 36377480, + 98274795 + ], + [ + 77203992, + 81495390 + ], + [ + 32849035, + 27411461 + ], + [ + 31666147, + 90007647 + ], + [ + 95114259, + 86434696 + ], + [ + 164708, + 51885970 + ], + [ + 78586900, + 16263573 + ], + [ + 58214266, + 49271068 + ], + [ + 95223974, + 21586974 + ], + [ + 54649173, + 2999609 + ], + [ + 33201594, + 21149164 + ], + [ + 54454235, + 80336394 + ], + [ + 35935197, + 94614795 + ], + [ + 33121317, + 57386914 + ], + [ + 21930609, + 33141218 + ], + [ + 3337401, + 28137326 + ], + [ + 24326728, + 41647074 + ], + [ + 98099444, + 22863194 + ], + [ + 7885774, + 1998148 + ], + [ + 22334581, + 91488455 + ], + [ + 66293468, + 49033570 + ], + [ + 95506286, + 47183119 + ], + [ + 14554301, + 39256180 + ], + [ + 3332186, + 13932259 + ], + [ + 63750085, + 4340892 + ], + [ + 30626785, + 85062414 + ], + [ + 58510339, + 25125361 + ], + [ + 78738890, + 76920801 + ], + [ + 2553894, + 13743738 + ], + [ + 30712267, + 79212427 + ], + [ + 49584234, + 88157161 + ], + [ + 9788182, + 60976101 + ], + [ + 5931891, + 3454455 + ], + [ + 93024949, + 54031117 + ], + [ + 21629046, + 87658958 + ], + [ + 42768816, + 93455497 + ], + [ + 74871461, + 31308260 + ], + [ + 72908761, + 63336722 + ], + [ + 85689179, + 94106940 + ], + [ + 89394948, + 96340546 + ], + [ + 25238792, + 94932291 + ], + [ + 51741943, + 46265674 + ], + [ + 21629289, + 28692380 + ], + [ + 15405151, + 12445483 + ], + [ + 28899849, + 87725667 + ], + [ + 98344653, + 58754463 + ], + [ + 16951324, + 22013072 + ], + [ + 82793835, + 85456831 + ], + [ + 6849118, + 64995918 + ], + [ + 35578095, + 81019656 + ], + [ + 15449763, + 38814937 + ], + [ + 4206114, + 55790771 + ], + [ + 14567973, + 9328279 + ], + [ + 38002137, + 12188366 + ], + [ + 86231947, + 99916743 + ], + [ + 44005536, + 64164366 + ], + [ + 25550723, + 29847119 + ], + [ + 91472568, + 88969184 + ], + [ + 16391059, + 24234908 + ], + [ + 61726468, + 14170267 + ], + [ + 60693503, + 5725297 + ], + [ + 43956030, + 67222640 + ], + [ + 64757923, + 22556958 + ], + [ + 31092194, + 52728122 + ], + [ + 16031416, + 16673871 + ], + [ + 35371191, + 71850622 + ], + [ + 73852368, + 19610342 + ], + [ + 70982351, + 8585566 + ], + [ + 61016514, + 30309754 + ], + [ + 3092968, + 91917699 + ], + [ + 13799396, + 69416537 + ], + [ + 44490408, + 81259990 + ], + [ + 84830649, + 41567774 + ], + [ + 43715342, + 1862317 + ], + [ + 96003373, + 73757837 + ], + [ + 52694758, + 98868313 + ], + [ + 97149482, + 26476648 + ], + [ + 62880072, + 74117895 + ], + [ + 38958809, + 14888611 + ], + [ + 7743602, + 80283979 + ], + [ + 29960606, + 13364811 + ], + [ + 69723803, + 3089415 + ], + [ + 60582839, + 6723302 + ], + [ + 72751462, + 25885823 + ], + [ + 85200564, + 37263740 + ], + [ + 70590449, + 35974848 + ], + [ + 80013801, + 10568773 + ], + [ + 50941932, + 13230502 + ], + [ + 78948897, + 18888763 + ], + [ + 7893646, + 91480918 + ], + [ + 59045044, + 41925477 + ], + [ + 40296770, + 95247502 + ], + [ + 92830321, + 35121513 + ], + [ + 14130447, + 16913309 + ], + [ + 24911807, + 96077211 + ], + [ + 80089644, + 76992474 + ], + [ + 20266300, + 46141253 + ], + [ + 48247419, + 3610458 + ], + [ + 17233179, + 74610913 + ], + [ + 28629589, + 97116162 + ], + [ + 19200274, + 33302454 + ], + [ + 85035275, + 91564560 + ], + [ + 75358995, + 39397377 + ], + [ + 26622941, + 21952519 + ], + [ + 23517970, + 44082416 + ], + [ + 81704783, + 68735868 + ], + [ + 7023418, + 95513608 + ], + [ + 79005486, + 73344558 + ], + [ + 71347978, + 78174114 + ], + [ + 92326089, + 1118412 + ], + [ + 15499618, + 25989162 + ], + [ + 49841430, + 75528010 + ], + [ + 76668144, + 59376520 + ], + [ + 43742238, + 14563468 + ], + [ + 71283911, + 54238966 + ], + [ + 9698405, + 22747410 + ], + [ + 50273201, + 14038178 + ], + [ + 37510268, + 95070986 + ], + [ + 71183984, + 83253867 + ], + [ + 82058654, + 94048517 + ], + [ + 8550435, + 30832668 + ], + [ + 90098735, + 85620328 + ], + [ + 93079086, + 55666079 + ], + [ + 18280045, + 3549450 + ], + [ + 70669412, + 72942953 + ], + [ + 3559009, + 90626910 + ], + [ + 60190449, + 96573671 + ], + [ + 95780137, + 94601625 + ], + [ + 42402224, + 40949014 + ], + [ + 25497164, + 19984446 + ], + [ + 61296749, + 15077058 + ], + [ + 96561270, + 38383182 + ], + [ + 12259527, + 69408820 + ], + [ + 53174190, + 55070885 + ], + [ + 73937001, + 6243178 + ], + [ + 63772758, + 43103992 + ], + [ + 76196102, + 8355915 + ], + [ + 51736683, + 50175144 + ], + [ + 37253343, + 67690223 + ], + [ + 64250883, + 7973091 + ], + [ + 85845399, + 86882078 + ], + [ + 36804900, + 28064606 + ], + [ + 20356832, + 90797015 + ], + [ + 52442896, + 90729446 + ], + [ + 23404960, + 38119003 + ], + [ + 80872107, + 19250537 + ], + [ + 88135146, + 55110427 + ], + [ + 7161321, + 54361202 + ], + [ + 24999045, + 55263022 + ], + [ + 78941228, + 9345777 + ], + [ + 17709556, + 19653986 + ], + [ + 64927915, + 38655386 + ], + [ + 7546901, + 28302975 + ], + [ + 96139830, + 84314100 + ], + [ + 63852812, + 20866576 + ], + [ + 29693087, + 6448671 + ], + [ + 75207452, + 97863081 + ], + [ + 16787153, + 35821319 + ], + [ + 18051788, + 94346241 + ], + [ + 70146652, + 37699421 + ], + [ + 84237747, + 42070119 + ], + [ + 12772605, + 10913639 + ], + [ + 21294033, + 22733741 + ], + [ + 59086568, + 97166666 + ], + [ + 1258505, + 63905542 + ], + [ + 51890154, + 82563545 + ], + [ + 4563998, + 95781593 + ], + [ + 68486474, + 8974136 + ], + [ + 51599811, + 59304721 + ], + [ + 76832781, + 53346543 + ], + [ + 72228039, + 45024947 + ], + [ + 2404112, + 17140614 + ], + [ + 27920063, + 11919728 + ], + [ + 82785405, + 30642448 + ], + [ + 96610848, + 11792422 + ], + [ + 87870101, + 11895486 + ], + [ + 50703148, + 38295084 + ], + [ + 48428799, + 35001055 + ], + [ + 93187905, + 7189885 + ], + [ + 90291433, + 76319861 + ], + [ + 77518839, + 80716396 + ], + [ + 40866877, + 12573195 + ], + [ + 41511787, + 14852855 + ], + [ + 75628926, + 57019477 + ], + [ + 52939680, + 57258658 + ], + [ + 33562773, + 48246370 + ], + [ + 90556492, + 60922345 + ], + [ + 30298629, + 96724726 + ], + [ + 6721741, + 94081639 + ], + [ + 30919657, + 31691444 + ], + [ + 52001355, + 91373024 + ], + [ + 1527705, + 94512832 + ], + [ + 7878841, + 89955661 + ], + [ + 38857654, + 4264947 + ], + [ + 99388316, + 76715778 + ], + [ + 71514165, + 27253247 + ], + [ + 47984828, + 95673305 + ], + [ + 92736847, + 61844498 + ], + [ + 40547194, + 18506333 + ], + [ + 43226143, + 24490068 + ], + [ + 1959184, + 96528736 + ], + [ + 56411544, + 12367707 + ], + [ + 6181497, + 46676504 + ], + [ + 83881659, + 77055869 + ], + [ + 24305982, + 64108657 + ], + [ + 40377434, + 1420810 + ], + [ + 58256655, + 24807117 + ], + [ + 38788842, + 75400423 + ], + [ + 42169152, + 48531447 + ], + [ + 40646975, + 2982773 + ], + [ + 56892694, + 85451394 + ], + [ + 71758059, + 90037219 + ], + [ + 50985081, + 70204381 + ], + [ + 5015325, + 56153389 + ], + [ + 52295649, + 3417489 + ], + [ + 27742024, + 40643805 + ], + [ + 55067141, + 89820395 + ], + [ + 88977075, + 38441045 + ], + [ + 96942786, + 28359332 + ], + [ + 36746944, + 15182160 + ], + [ + 19588073, + 48541531 + ], + [ + 64941329, + 86078597 + ], + [ + 15213752, + 48265468 + ], + [ + 3838171, + 81486613 + ], + [ + 40434401, + 69832058 + ], + [ + 87779256, + 96518482 + ], + [ + 52541903, + 12721524 + ], + [ + 69817502, + 43992806 + ], + [ + 54261336, + 36381986 + ], + [ + 5694941, + 44135400 + ], + [ + 39243632, + 38215858 + ], + [ + 49522338, + 79464598 + ], + [ + 68360813, + 97767100 + ], + [ + 33596555, + 28423808 + ], + [ + 58638681, + 44505941 + ], + [ + 72733462, + 59341662 + ], + [ + 90247072, + 66969752 + ], + [ + 18195227, + 50741936 + ], + [ + 96304431, + 57541487 + ], + [ + 92876291, + 56385779 + ], + [ + 24155139, + 60650340 + ], + [ + 10624774, + 45578971 + ], + [ + 81263302, + 85014513 + ], + [ + 27151773, + 21286368 + ], + [ + 86275212, + 99625091 + ], + [ + 43232124, + 61295849 + ], + [ + 27851286, + 29098898 + ], + [ + 22679345, + 62983457 + ], + [ + 34382231, + 14997709 + ], + [ + 79931922, + 96141071 + ], + [ + 75255514, + 80802391 + ], + [ + 47160333, + 20877873 + ], + [ + 54404707, + 97162904 + ], + [ + 1384706, + 5381411 + ], + [ + 95815794, + 73948375 + ], + [ + 27739594, + 14389136 + ], + [ + 33109292, + 1683653 + ], + [ + 69720330, + 25446712 + ], + [ + 49210089, + 73737637 + ], + [ + 78168032, + 25034231 + ], + [ + 35603146, + 54978852 + ], + [ + 95946695, + 86509092 + ], + [ + 54498627, + 40114674 + ], + [ + 35972599, + 19253593 + ], + [ + 98919755, + 17584874 + ], + [ + 37853653, + 33907111 + ], + [ + 7397007, + 72517765 + ], + [ + 58629768, + 78582738 + ], + [ + 33061448, + 52634246 + ], + [ + 81526123, + 17768768 + ], + [ + 86612510, + 35796951 + ], + [ + 39689620, + 37941899 + ], + [ + 40324673, + 20228134 + ], + [ + 58770487, + 55237444 + ], + [ + 9207602, + 72000620 + ], + [ + 52655812, + 67772361 + ], + [ + 23367422, + 34024734 + ], + [ + 23255656, + 40470588 + ], + [ + 15911437, + 44366615 + ], + [ + 63010552, + 2375152 + ], + [ + 60394912, + 5637302 + ], + [ + 70531668, + 83382752 + ], + [ + 71931370, + 45235395 + ], + [ + 87804950, + 96976679 + ], + [ + 59658766, + 55569517 + ], + [ + 34406389, + 76651807 + ], + [ + 52188770, + 59864288 + ], + [ + 55426186, + 34363198 + ], + [ + 15806387, + 57288546 + ], + [ + 94493514, + 27779659 + ], + [ + 569754, + 74129688 + ], + [ + 98570278, + 98329606 + ], + [ + 97958259, + 80609256 + ], + [ + 31026180, + 40951813 + ], + [ + 28493705, + 75865064 + ], + [ + 2905959, + 6331478 + ], + [ + 57762672, + 37982753 + ], + [ + 7673551, + 7200405 + ], + [ + 51296165, + 712199 + ], + [ + 73478276, + 16536604 + ], + [ + 87604125, + 65857835 + ], + [ + 92457001, + 47888 + ], + [ + 61024405, + 2657790 + ], + [ + 34794107, + 24295707 + ], + [ + 52733840, + 74603469 + ], + [ + 3033693, + 8795346 + ], + [ + 89739766, + 20327034 + ], + [ + 92166785, + 51164707 + ], + [ + 40485203, + 64170499 + ], + [ + 33416283, + 79205636 + ], + [ + 11945850, + 15996188 + ], + [ + 12967241, + 56570105 + ], + [ + 49348396, + 84604692 + ], + [ + 85384477, + 64649082 + ], + [ + 33773788, + 48846821 + ], + [ + 45397719, + 1978974 + ], + [ + 89354712, + 67313123 + ], + [ + 61187562, + 28399476 + ], + [ + 62165434, + 63449143 + ], + [ + 91079224, + 49812462 + ], + [ + 93618836, + 13415453 + ], + [ + 85724088, + 46878853 + ], + [ + 7396512, + 90562221 + ], + [ + 19133703, + 37074409 + ], + [ + 48821720, + 52617941 + ], + [ + 15794086, + 97000936 + ], + [ + 83641913, + 16730562 + ], + [ + 48718421, + 24816036 + ], + [ + 97516736, + 39360398 + ], + [ + 60314067, + 47639570 + ], + [ + 96926293, + 20623336 + ], + [ + 14230438, + 28434984 + ], + [ + 17108500, + 22773401 + ], + [ + 21598984, + 60462466 + ], + [ + 70718213, + 87078663 + ], + [ + 42741364, + 70676600 + ], + [ + 12573769, + 45679503 + ], + [ + 85102473, + 37954608 + ], + [ + 58149236, + 91790095 + ], + [ + 82173166, + 85566928 + ], + [ + 49136971, + 24980944 + ], + [ + 92876137, + 60726792 + ], + [ + 88066707, + 53971772 + ], + [ + 38360685, + 78570745 + ], + [ + 34148456, + 53453256 + ], + [ + 38532647, + 29288421 + ], + [ + 16791874, + 5768459 + ], + [ + 75697015, + 88573177 + ], + [ + 91273315, + 79161011 + ], + [ + 7946322, + 99412353 + ], + [ + 1770749, + 60836436 + ], + [ + 53199917, + 97821690 + ], + [ + 53117835, + 35855794 + ], + [ + 45745004, + 10821832 + ], + [ + 68734631, + 88778690 + ], + [ + 39170181, + 65012506 + ], + [ + 81500063, + 36390743 + ], + [ + 13797027, + 72215190 + ], + [ + 26019221, + 84147821 + ], + [ + 86727901, + 6390489 + ], + [ + 42489282, + 26886416 + ], + [ + 10183734, + 16732597 + ], + [ + 39856634, + 52360052 + ], + [ + 41608187, + 81658144 + ], + [ + 8709031, + 81309801 + ], + [ + 95012324, + 38487866 + ], + [ + 45667017, + 46091967 + ], + [ + 47380401, + 19731523 + ], + [ + 16996435, + 58356635 + ], + [ + 64752390, + 68054937 + ], + [ + 12921537, + 66912355 + ], + [ + 70386206, + 62054900 + ], + [ + 96545525, + 21926280 + ], + [ + 20837454, + 21531403 + ], + [ + 47829831, + 79356608 + ], + [ + 50681785, + 88846431 + ], + [ + 10517675, + 73823586 + ], + [ + 86456840, + 5806319 + ], + [ + 47923200, + 82130870 + ], + [ + 43799832, + 7374786 + ], + [ + 89592991, + 42705608 + ], + [ + 38665993, + 83614925 + ], + [ + 16598324, + 45689804 + ], + [ + 85079996, + 41229627 + ], + [ + 45163859, + 64811586 + ], + [ + 78398367, + 63920164 + ], + [ + 53256438, + 78692142 + ], + [ + 63039353, + 5175217 + ], + [ + 11106528, + 48082634 + ], + [ + 58229912, + 30801251 + ], + [ + 84938997, + 48807952 + ], + [ + 58828111, + 99535524 + ], + [ + 54919029, + 91188578 + ], + [ + 38072262, + 99864272 + ], + [ + 31163086, + 49127012 + ], + [ + 44019470, + 95263718 + ], + [ + 10980714, + 83511562 + ], + [ + 4268441, + 95029900 + ], + [ + 46085363, + 14743522 + ], + [ + 33796353, + 52216854 + ], + [ + 48611950, + 52463053 + ], + [ + 62219656, + 86965446 + ], + [ + 66869362, + 38129600 + ], + [ + 83276450, + 65944566 + ], + [ + 86455700, + 252409 + ], + [ + 30294540, + 23528800 + ], + [ + 15541804, + 54146490 + ], + [ + 6753314, + 94415320 + ], + [ + 87647250, + 712353 + ], + [ + 94358844, + 45730866 + ], + [ + 94739226, + 42883278 + ], + [ + 43960034, + 81668610 + ], + [ + 74256303, + 54937484 + ], + [ + 85409724, + 89863102 + ], + [ + 25317000, + 13232378 + ], + [ + 37879361, + 57805555 + ], + [ + 32848627, + 16208296 + ], + [ + 72166805, + 40742433 + ], + [ + 95511061, + 94849000 + ], + [ + 96833310, + 13829177 + ], + [ + 60732301, + 23821726 + ], + [ + 99000218, + 73765300 + ], + [ + 61944861, + 69827992 + ], + [ + 27617959, + 51957876 + ], + [ + 33329461, + 19061717 + ], + [ + 81883903, + 48570441 + ], + [ + 54184445, + 19494174 + ], + [ + 68858079, + 39151644 + ], + [ + 54072769, + 64016023 + ], + [ + 17907661, + 44570782 + ], + [ + 85402036, + 73205106 + ], + [ + 20418146, + 96900134 + ], + [ + 616809, + 48356715 + ], + [ + 49897782, + 45847318 + ], + [ + 3767797, + 98095717 + ], + [ + 77326633, + 2104325 + ], + [ + 88236916, + 57615895 + ], + [ + 99881972, + 12964156 + ], + [ + 70025656, + 61558028 + ], + [ + 55196836, + 61389255 + ], + [ + 90746950, + 2814007 + ], + [ + 50498902, + 8685775 + ], + [ + 95385034, + 55265116 + ], + [ + 14051430, + 47809675 + ], + [ + 70106368, + 67538475 + ], + [ + 13657114, + 5850773 + ], + [ + 41842661, + 43067383 + ], + [ + 36811536, + 62507408 + ], + [ + 35532493, + 64978350 + ], + [ + 30667683, + 69238009 + ], + [ + 57813494, + 35306048 + ], + [ + 89694009, + 50879145 + ], + [ + 40472690, + 69951445 + ], + [ + 98621231, + 6785674 + ], + [ + 63390953, + 73475521 + ], + [ + 41069922, + 98394387 + ], + [ + 10564849, + 19696510 + ], + [ + 54395192, + 59790934 + ], + [ + 42780934, + 29799944 + ], + [ + 55697902, + 11634105 + ], + [ + 65505846, + 18723375 + ], + [ + 70834804, + 46193141 + ], + [ + 13686271, + 92678117 + ], + [ + 19259839, + 87538806 + ], + [ + 93004538, + 2461351 + ], + [ + 2171775, + 33702030 + ], + [ + 72317763, + 20224043 + ], + [ + 3414018, + 63130749 + ], + [ + 73761565, + 94353740 + ], + [ + 26860423, + 75350098 + ], + [ + 24369593, + 74357063 + ], + [ + 75884568, + 99035880 + ], + [ + 96512075, + 27347252 + ], + [ + 85384171, + 15126395 + ], + [ + 26971241, + 19238208 + ], + [ + 50118277, + 21356279 + ], + [ + 49065826, + 87720071 + ], + [ + 43367974, + 67590995 + ], + [ + 64795622, + 24906498 + ], + [ + 56571887, + 94712126 + ], + [ + 23127499, + 92307783 + ], + [ + 44066168, + 82153244 + ], + [ + 80915666, + 31669917 + ], + [ + 36941029, + 35156370 + ], + [ + 31727414, + 41746901 + ], + [ + 89011581, + 51074665 + ], + [ + 15571592, + 95922462 + ], + [ + 40749633, + 89219051 + ], + [ + 8677057, + 17089427 + ], + [ + 49616486, + 46976852 + ], + [ + 88331855, + 26135684 + ], + [ + 90864610, + 17341680 + ], + [ + 52731219, + 11518706 + ], + [ + 55209750, + 31962764 + ], + [ + 63138654, + 45854724 + ], + [ + 11118456, + 71108935 + ], + [ + 66583757, + 8981403 + ], + [ + 16664720, + 48068092 + ], + [ + 85649426, + 27162333 + ], + [ + 75551700, + 25385784 + ], + [ + 63521528, + 8483212 + ], + [ + 43123014, + 49566331 + ], + [ + 77646581, + 11499340 + ], + [ + 60378393, + 9449812 + ], + [ + 89012271, + 91863445 + ], + [ + 63065772, + 58219028 + ], + [ + 35962248, + 90026961 + ], + [ + 97006401, + 46226706 + ], + [ + 88239412, + 24294035 + ], + [ + 60891730, + 37128652 + ], + [ + 11968887, + 21598100 + ], + [ + 51503182, + 32885004 + ], + [ + 16389151, + 4586626 + ], + [ + 1801656, + 88970493 + ], + [ + 81905805, + 31897383 + ], + [ + 97380512, + 54846926 + ], + [ + 29929314, + 15627393 + ], + [ + 51759583, + 34965602 + ], + [ + 79522435, + 11609103 + ], + [ + 57515455, + 69766316 + ], + [ + 47504299, + 99715976 + ], + [ + 4936519, + 88767368 + ], + [ + 61429072, + 44389374 + ], + [ + 16361748, + 40490066 + ], + [ + 23074542, + 56841333 + ], + [ + 88558290, + 22235632 + ], + [ + 71583604, + 46723960 + ], + [ + 68719553, + 30900042 + ], + [ + 1806383, + 6591415 + ], + [ + 86727246, + 65089205 + ], + [ + 87465153, + 89609295 + ], + [ + 10305535, + 81940609 + ], + [ + 11352262, + 97806792 + ], + [ + 95965357, + 37397686 + ], + [ + 98437841, + 76428017 + ], + [ + 56512074, + 92320698 + ], + [ + 59939910, + 49692992 + ], + [ + 49371613, + 48790584 + ], + [ + 75485252, + 22725386 + ], + [ + 91769054, + 51773156 + ], + [ + 20688620, + 28889571 + ], + [ + 86567078, + 20126896 + ], + [ + 9215984, + 36030496 + ], + [ + 29767371, + 72629590 + ], + [ + 11644955, + 91813127 + ], + [ + 1299655, + 86318063 + ], + [ + 70346399, + 96882364 + ], + [ + 68067760, + 38298580 + ], + [ + 85824940, + 6186014 + ], + [ + 16053458, + 39382182 + ], + [ + 8278876, + 7576455 + ], + [ + 14695514, + 38101008 + ], + [ + 64701824, + 63507645 + ], + [ + 53766645, + 26002011 + ], + [ + 48772555, + 96044115 + ], + [ + 96639780, + 77664079 + ], + [ + 65685139, + 12334590 + ], + [ + 23987741, + 58317869 + ], + [ + 33269282, + 86644600 + ], + [ + 12080835, + 56685046 + ], + [ + 79097143, + 77436652 + ], + [ + 28033021, + 83629653 + ], + [ + 19241036, + 12905687 + ], + [ + 73501417, + 8189965 + ], + [ + 77333611, + 33430257 + ], + [ + 40879268, + 48739544 + ], + [ + 29844677, + 38525118 + ], + [ + 31429318, + 42244483 + ], + [ + 29672773, + 63920662 + ], + [ + 63966035, + 67973841 + ], + [ + 24594036, + 16219540 + ], + [ + 80111935, + 56044814 + ], + [ + 43203466, + 86251521 + ], + [ + 15120077, + 84145713 + ], + [ + 96476585, + 64558825 + ], + [ + 91616715, + 71454741 + ], + [ + 49642398, + 4218946 + ], + [ + 90303103, + 17962359 + ], + [ + 63016305, + 95381480 + ], + [ + 24732581, + 23775860 + ], + [ + 73524827, + 39451638 + ], + [ + 36028078, + 69601922 + ], + [ + 55414553, + 13111259 + ], + [ + 12204949, + 58893703 + ], + [ + 88426206, + 95608403 + ], + [ + 2626729, + 86342234 + ], + [ + 57350022, + 31131656 + ], + [ + 910375, + 43479192 + ], + [ + 8108756, + 35882382 + ], + [ + 3654692, + 42051340 + ], + [ + 22434761, + 68913924 + ], + [ + 57376464, + 43440755 + ], + [ + 96667957, + 83039655 + ], + [ + 73256667, + 99472281 + ], + [ + 34503982, + 55026690 + ], + [ + 36069261, + 98362859 + ], + [ + 57880821, + 61374605 + ], + [ + 67754094, + 24842758 + ], + [ + 80303170, + 15019490 + ], + [ + 47101745, + 70112582 + ], + [ + 36300059, + 541846 + ], + [ + 54516803, + 30343143 + ], + [ + 86230776, + 48985117 + ], + [ + 9004067, + 60365873 + ], + [ + 58461497, + 63176441 + ], + [ + 67253626, + 98356602 + ], + [ + 76839909, + 39737667 + ], + [ + 89566194, + 19523641 + ], + [ + 46893297, + 11963494 + ], + [ + 93209131, + 57399519 + ], + [ + 98186459, + 60752939 + ], + [ + 67758163, + 12693475 + ], + [ + 11896743, + 89577746 + ], + [ + 13700362, + 32295877 + ], + [ + 39204120, + 874782 + ], + [ + 88520493, + 79129631 + ], + [ + 20912443, + 41704051 + ], + [ + 2151148, + 49369796 + ], + [ + 15484072, + 86311805 + ], + [ + 53979762, + 97784670 + ], + [ + 56769387, + 46870202 + ], + [ + 18647216, + 63139256 + ], + [ + 41479340, + 60219293 + ], + [ + 57365534, + 2945097 + ], + [ + 29695691, + 91100512 + ], + [ + 27987550, + 4610961 + ], + [ + 29862965, + 60854627 + ], + [ + 80846397, + 59806464 + ], + [ + 50202206, + 28692635 + ], + [ + 85750224, + 14006982 + ], + [ + 98960875, + 72831573 + ], + [ + 66311716, + 79832654 + ], + [ + 79867788, + 26346643 + ], + [ + 68096567, + 47887206 + ], + [ + 7441757, + 69483924 + ], + [ + 15776442, + 62798230 + ], + [ + 78926548, + 53079181 + ], + [ + 56999784, + 11925298 + ], + [ + 30992878, + 51392647 + ], + [ + 66092538, + 29664565 + ], + [ + 83904065, + 1319019 + ], + [ + 6209493, + 33235526 + ], + [ + 22823316, + 36667448 + ], + [ + 65855369, + 3678394 + ], + [ + 30714189, + 68105379 + ], + [ + 92231191, + 88674826 + ], + [ + 2946965, + 71817729 + ], + [ + 21032422, + 23850058 + ], + [ + 62114979, + 42171790 + ], + [ + 55927062, + 77080359 + ], + [ + 83090612, + 88808889 + ], + [ + 43817066, + 17145107 + ], + [ + 55283708, + 4374353 + ], + [ + 44813803, + 8894507 + ], + [ + 34120430, + 25608030 + ], + [ + 69426004, + 5034749 + ], + [ + 86672530, + 44150927 + ], + [ + 98571064, + 77534027 + ], + [ + 53057231, + 39974017 + ], + [ + 81199507, + 18589778 + ], + [ + 69934714, + 93834085 + ], + [ + 61346036, + 62574549 + ], + [ + 39352080, + 30714629 + ], + [ + 55330569, + 98399619 + ], + [ + 89604331, + 71216408 + ], + [ + 24179261, + 51993331 + ], + [ + 87790833, + 48723315 + ], + [ + 4370284, + 60741962 + ], + [ + 49409966, + 78012739 + ], + [ + 91917827, + 75974097 + ], + [ + 44952432, + 54722299 + ], + [ + 42846068, + 63579548 + ], + [ + 59532719, + 46512283 + ], + [ + 93131173, + 73526055 + ], + [ + 91077034, + 3676498 + ], + [ + 59738106, + 83351530 + ], + [ + 84807162, + 88234315 + ], + [ + 16035660, + 27027266 + ], + [ + 14433819, + 36585346 + ], + [ + 1561662, + 88390195 + ], + [ + 81655209, + 74337687 + ], + [ + 1938452, + 78362155 + ], + [ + 55351317, + 41776297 + ], + [ + 79095395, + 74973548 + ], + [ + 77922522, + 87429093 + ], + [ + 68635407, + 14379445 + ], + [ + 63073184, + 99025839 + ], + [ + 54834373, + 7276559 + ], + [ + 90808833, + 72058390 + ], + [ + 4718106, + 59212917 + ], + [ + 22900135, + 98180822 + ], + [ + 80058101, + 11137307 + ], + [ + 35186316, + 11943004 + ], + [ + 44850514, + 12458844 + ], + [ + 83215275, + 89245429 + ], + [ + 92363774, + 66658818 + ], + [ + 97673364, + 31499921 + ], + [ + 16067182, + 39250913 + ], + [ + 98642299, + 5777659 + ], + [ + 66660637, + 60968932 + ], + [ + 54544024, + 49820908 + ], + [ + 87541827, + 10991054 + ], + [ + 66635649, + 27241726 + ], + [ + 51786390, + 42047981 + ], + [ + 50075276, + 80285539 + ], + [ + 45239737, + 53214081 + ], + [ + 60054654, + 71838507 + ], + [ + 87997867, + 69334127 + ], + [ + 62398239, + 16570814 + ], + [ + 16857458, + 71724255 + ], + [ + 58422315, + 54848286 + ], + [ + 275030, + 42316997 + ], + [ + 73528214, + 62205833 + ], + [ + 44635876, + 1504111 + ], + [ + 44119038, + 16992924 + ], + [ + 5817212, + 37714655 + ], + [ + 7784953, + 55448099 + ], + [ + 25183164, + 35190569 + ], + [ + 77604720, + 78841614 + ], + [ + 66499426, + 47038373 + ], + [ + 25033369, + 52154405 + ], + [ + 1440073, + 68448556 + ], + [ + 69127139, + 4755050 + ], + [ + 88481831, + 33095413 + ], + [ + 58175709, + 11399136 + ], + [ + 32108591, + 50899387 + ], + [ + 40672466, + 22896685 + ], + [ + 14010370, + 45982143 + ], + [ + 73264935, + 69826999 + ], + [ + 14179510, + 57682766 + ], + [ + 32511098, + 64032996 + ], + [ + 22853228, + 42333283 + ], + [ + 48781285, + 23127690 + ], + [ + 81656284, + 43686664 + ], + [ + 61485941, + 29739545 + ], + [ + 98280215, + 16537526 + ], + [ + 68441837, + 67213309 + ], + [ + 89492868, + 8167677 + ], + [ + 60486222, + 39371498 + ], + [ + 70092448, + 92967857 + ], + [ + 88817318, + 63270730 + ], + [ + 86373519, + 95318541 + ], + [ + 28696160, + 25077473 + ], + [ + 40814587, + 88414161 + ], + [ + 24140251, + 96944883 + ], + [ + 39442169, + 88261249 + ], + [ + 39254037, + 92491735 + ], + [ + 12226666, + 62551589 + ], + [ + 66078752, + 43926542 + ], + [ + 80958877, + 30262523 + ], + [ + 61939634, + 89422907 + ], + [ + 96804647, + 57713605 + ], + [ + 75312805, + 66750315 + ], + [ + 43917800, + 46989295 + ], + [ + 70391585, + 89062176 + ], + [ + 40787842, + 48502410 + ], + [ + 38087567, + 18049403 + ], + [ + 56300357, + 24263885 + ], + [ + 98436361, + 12546551 + ], + [ + 60121631, + 78991055 + ], + [ + 72756003, + 62629279 + ], + [ + 46281391, + 18287215 + ], + [ + 28572865, + 57774499 + ], + [ + 44325636, + 75798267 + ], + [ + 85739519, + 849030 + ], + [ + 33644025, + 39353949 + ], + [ + 45144695, + 69400684 + ], + [ + 97312149, + 68080197 + ], + [ + 35969472, + 12531626 + ], + [ + 43394509, + 71888753 + ], + [ + 13173142, + 23834449 + ], + [ + 66068365, + 88571743 + ], + [ + 13535453, + 51818393 + ], + [ + 67008337, + 26592629 + ], + [ + 47079876, + 57976721 + ], + [ + 35550697, + 58005222 + ], + [ + 47613869, + 97220964 + ], + [ + 13893191, + 18516200 + ], + [ + 3843245, + 20669499 + ], + [ + 75903256, + 14871788 + ], + [ + 48331363, + 40653065 + ], + [ + 43990439, + 29843915 + ], + [ + 4228281, + 16133564 + ], + [ + 95347379, + 9382212 + ], + [ + 69148104, + 35059148 + ], + [ + 55029978, + 57519730 + ], + [ + 43966028, + 65820722 + ], + [ + 79759183, + 29317701 + ], + [ + 29748677, + 93251563 + ], + [ + 78793568, + 77608716 + ], + [ + 78414689, + 94551544 + ], + [ + 8562745, + 37793982 + ], + [ + 75293827, + 52350745 + ], + [ + 18003653, + 34610348 + ], + [ + 57960338, + 18926451 + ], + [ + 37476749, + 54995025 + ], + [ + 49246764, + 36146188 + ], + [ + 35664291, + 42825541 + ], + [ + 75932544, + 48899175 + ], + [ + 25222271, + 88124036 + ], + [ + 21872620, + 5840162 + ], + [ + 6117749, + 81513933 + ], + [ + 17505026, + 91249356 + ], + [ + 64631985, + 86748281 + ], + [ + 64504222, + 39911335 + ], + [ + 57274413, + 27569202 + ], + [ + 98889599, + 46081715 + ], + [ + 93320428, + 89896592 + ], + [ + 41619777, + 50831339 + ], + [ + 8222495, + 86893923 + ], + [ + 55169666, + 86699974 + ], + [ + 89676741, + 5286232 + ], + [ + 52771214, + 87416982 + ], + [ + 43032210, + 75330712 + ], + [ + 7357995, + 65182025 + ], + [ + 19639060, + 24572223 + ], + [ + 71322864, + 92106217 + ], + [ + 91899626, + 16021660 + ], + [ + 79307869, + 45557413 + ], + [ + 78945798, + 92781269 + ], + [ + 27903638, + 59488377 + ], + [ + 68884691, + 25743458 + ], + [ + 95974491, + 76347043 + ], + [ + 77235428, + 90565698 + ], + [ + 77464580, + 47540531 + ], + [ + 45341845, + 64868029 + ], + [ + 2147310, + 81037410 + ], + [ + 87217175, + 19855775 + ], + [ + 72849167, + 64997442 + ], + [ + 74366560, + 49940464 + ], + [ + 70324243, + 69026275 + ], + [ + 46602510, + 87209738 + ], + [ + 32766473, + 19259560 + ], + [ + 44733064, + 78494526 + ], + [ + 32791532, + 71274814 + ], + [ + 26693801, + 82810968 + ], + [ + 41730433, + 57245826 + ], + [ + 6721018, + 15865778 + ], + [ + 94990012, + 68692544 + ], + [ + 32442835, + 56851846 + ], + [ + 76706721, + 64120570 + ], + [ + 62861854, + 74439962 + ], + [ + 85836996, + 52701997 + ], + [ + 84428345, + 81131284 + ], + [ + 19752381, + 68706792 + ], + [ + 92990686, + 44366273 + ], + [ + 95735272, + 84035791 + ], + [ + 14346396, + 85403535 + ], + [ + 3105946, + 61357429 + ], + [ + 97002860, + 69622629 + ], + [ + 58150840, + 65840385 + ], + [ + 74977999, + 28338940 + ], + [ + 77480635, + 58052789 + ], + [ + 21845787, + 73480950 + ], + [ + 49124199, + 79519850 + ], + [ + 27303961, + 97304676 + ], + [ + 10504875, + 56791700 + ], + [ + 31268747, + 24407399 + ], + [ + 68984888, + 75912058 + ], + [ + 67709334, + 72536516 + ], + [ + 23151248, + 93552549 + ], + [ + 381652, + 81141125 + ], + [ + 95334092, + 28405674 + ], + [ + 9833782, + 22970081 + ], + [ + 86587098, + 76111195 + ], + [ + 13022974, + 20073819 + ], + [ + 23521464, + 72325462 + ], + [ + 2243758, + 71990896 + ], + [ + 80974545, + 16605630 + ], + [ + 88109727, + 17727734 + ], + [ + 49678785, + 1769154 + ], + [ + 62680632, + 79865500 + ], + [ + 28550132, + 36339511 + ], + [ + 77763338, + 90090755 + ], + [ + 17186939, + 72222888 + ], + [ + 68607515, + 60052392 + ], + [ + 40242490, + 95620510 + ], + [ + 79249060, + 92036899 + ], + [ + 7635587, + 31778125 + ], + [ + 15252244, + 71095416 + ], + [ + 42229824, + 55863415 + ], + [ + 39553048, + 73432994 + ], + [ + 795582, + 66840034 + ], + [ + 9334366, + 94379879 + ], + [ + 36542479, + 78646581 + ], + [ + 26844223, + 46793074 + ], + [ + 49952177, + 79779820 + ], + [ + 92593968, + 93215342 + ], + [ + 94392853, + 88945853 + ], + [ + 33840795, + 32337045 + ], + [ + 90661084, + 39719039 + ], + [ + 79686032, + 45091779 + ], + [ + 50298646, + 94969240 + ], + [ + 67247601, + 1902231 + ], + [ + 93771709, + 39764526 + ], + [ + 9224191, + 87875589 + ], + [ + 29559520, + 46672951 + ], + [ + 823921, + 29828294 + ], + [ + 22170212, + 83981317 + ], + [ + 19294028, + 45765052 + ], + [ + 54458256, + 81280716 + ], + [ + 82453014, + 42709801 + ], + [ + 76739687, + 2367572 + ], + [ + 47226592, + 29834056 + ], + [ + 14664532, + 66679993 + ], + [ + 92512347, + 80896531 + ], + [ + 52923419, + 67530525 + ], + [ + 25583320, + 76399445 + ], + [ + 48412425, + 97666425 + ], + [ + 68775821, + 71053496 + ], + [ + 98133327, + 29463317 + ], + [ + 93454435, + 97069050 + ], + [ + 61231100, + 68083109 + ], + [ + 11745487, + 52077380 + ], + [ + 60467315, + 97246100 + ], + [ + 85167040, + 41597058 + ], + [ + 7762487, + 48866059 + ], + [ + 96310087, + 23632117 + ], + [ + 30141227, + 71478139 + ], + [ + 1343590, + 88711326 + ], + [ + 18306817, + 70643494 + ], + [ + 49555753, + 3223418 + ], + [ + 85507178, + 24311446 + ], + [ + 7395970, + 4244022 + ], + [ + 67840734, + 69431800 + ], + [ + 78113575, + 19529372 + ], + [ + 42092109, + 53432886 + ], + [ + 15027856, + 35998582 + ], + [ + 20634955, + 90295441 + ], + [ + 23257867, + 67595378 + ], + [ + 29763055, + 96808108 + ], + [ + 46288535, + 71837423 + ], + [ + 60687492, + 92834553 + ], + [ + 62068131, + 31503188 + ], + [ + 72006904, + 32907662 + ], + [ + 44923234, + 28197264 + ], + [ + 68996443, + 18743370 + ], + [ + 44633010, + 49375792 + ], + [ + 73331706, + 89934264 + ], + [ + 63436729, + 5859259 + ], + [ + 94696459, + 67595900 + ], + [ + 92017110, + 16127322 + ], + [ + 26117279, + 77623168 + ], + [ + 61077262, + 30124061 + ], + [ + 47482328, + 27667310 + ], + [ + 66001497, + 65659052 + ], + [ + 44691400, + 68808528 + ], + [ + 71500663, + 69427126 + ], + [ + 80430532, + 26794393 + ], + [ + 70776319, + 35393095 + ], + [ + 53490618, + 91302090 + ], + [ + 53578533, + 59758171 + ], + [ + 77227861, + 19361877 + ], + [ + 57259837, + 70523893 + ], + [ + 21905849, + 90502585 + ], + [ + 52002948, + 63758010 + ], + [ + 3302154, + 34578315 + ], + [ + 82686802, + 96119673 + ], + [ + 96118358, + 4176931 + ], + [ + 61557990, + 55463012 + ], + [ + 15203860, + 13726363 + ], + [ + 75327041, + 96345990 + ], + [ + 41530151, + 35675099 + ], + [ + 84415877, + 67713231 + ], + [ + 96897540, + 52315709 + ], + [ + 26244301, + 87211282 + ], + [ + 50905934, + 38323545 + ], + [ + 6792076, + 96544986 + ], + [ + 3383774, + 79682839 + ], + [ + 65046126, + 60971327 + ], + [ + 65370545, + 12630954 + ], + [ + 18876977, + 32190967 + ], + [ + 44844982, + 54725164 + ], + [ + 80812710, + 34290165 + ], + [ + 38468925, + 32176592 + ], + [ + 11182857, + 58525205 + ], + [ + 61628303, + 89576072 + ], + [ + 90278058, + 5302662 + ], + [ + 82409512, + 49816542 + ], + [ + 89667696, + 84322901 + ], + [ + 2554833, + 35523942 + ], + [ + 38800552, + 55771349 + ], + [ + 87741618, + 6213182 + ], + [ + 25464527, + 18777062 + ], + [ + 53250096, + 58772701 + ], + [ + 65889274, + 30146190 + ], + [ + 37115849, + 49179358 + ], + [ + 58935409, + 90139649 + ], + [ + 93016856, + 55429790 + ], + [ + 40533779, + 25925964 + ], + [ + 6447946, + 81367857 + ], + [ + 2437772, + 66918884 + ], + [ + 95699961, + 90267466 + ], + [ + 58108692, + 27828500 + ], + [ + 62334580, + 43036946 + ], + [ + 9372773, + 71568436 + ], + [ + 16777531, + 53266577 + ], + [ + 79253969, + 815877 + ], + [ + 72580013, + 55131570 + ], + [ + 8831681, + 30591965 + ], + [ + 63918889, + 83168865 + ], + [ + 59458911, + 61600491 + ], + [ + 12831933, + 12693905 + ], + [ + 44274878, + 71832335 + ], + [ + 17182196, + 70303870 + ], + [ + 52371406, + 41093550 + ], + [ + 33207214, + 93988835 + ], + [ + 87479144, + 64772285 + ], + [ + 72072790, + 94513504 + ], + [ + 76055167, + 67225160 + ], + [ + 27183158, + 78337554 + ], + [ + 55199636, + 49107821 + ], + [ + 39172086, + 15704552 + ], + [ + 22898441, + 65320346 + ], + [ + 47600176, + 32928538 + ], + [ + 18034800, + 66156083 + ], + [ + 24444224, + 29689149 + ], + [ + 8112862, + 99776529 + ], + [ + 5018716, + 13279922 + ], + [ + 27386169, + 69029788 + ], + [ + 55314384, + 28363436 + ], + [ + 7538794, + 33148674 + ], + [ + 56094863, + 94802671 + ], + [ + 69466084, + 1136290 + ], + [ + 15868468, + 23015108 + ], + [ + 96379164, + 9322968 + ], + [ + 14867271, + 17278418 + ], + [ + 61317686, + 62328811 + ], + [ + 27834085, + 53269871 + ], + [ + 52527547, + 72435283 + ], + [ + 69102456, + 66896821 + ], + [ + 33110648, + 37404606 + ], + [ + 41965461, + 14147524 + ], + [ + 36439586, + 98345823 + ], + [ + 58438059, + 88197650 + ], + [ + 23607887, + 68421392 + ], + [ + 91254381, + 14352846 + ], + [ + 26680918, + 4344534 + ], + [ + 93239137, + 53887732 + ], + [ + 28268470, + 82081854 + ], + [ + 42782527, + 95247122 + ], + [ + 97392741, + 54662145 + ], + [ + 78575438, + 94198781 + ], + [ + 64363954, + 90297265 + ], + [ + 94950191, + 19998069 + ], + [ + 98018961, + 62606616 + ], + [ + 12143316, + 6250579 + ], + [ + 22733806, + 6649570 + ], + [ + 96880331, + 55262107 + ], + [ + 99378643, + 59405756 + ], + [ + 31782257, + 27707927 + ], + [ + 16080239, + 16968341 + ], + [ + 61514271, + 37427540 + ], + [ + 70380162, + 58171606 + ], + [ + 9534029, + 90981567 + ], + [ + 24990389, + 80436807 + ], + [ + 58483942, + 60525635 + ], + [ + 60797, + 78207299 + ], + [ + 24955925, + 11437155 + ], + [ + 22708489, + 70756664 + ], + [ + 33519663, + 97937958 + ], + [ + 26649404, + 91432550 + ], + [ + 8300935, + 79897756 + ], + [ + 33317633, + 42719806 + ], + [ + 11568357, + 34769392 + ], + [ + 19477396, + 12524561 + ], + [ + 39129145, + 66967663 + ], + [ + 77379662, + 25099855 + ], + [ + 36893261, + 21004265 + ], + [ + 41261671, + 85873870 + ], + [ + 25603191, + 93674586 + ], + [ + 62907672, + 52599643 + ], + [ + 48007149, + 43118934 + ], + [ + 6631065, + 32467388 + ], + [ + 2874372, + 44200065 + ], + [ + 26081627, + 98626638 + ], + [ + 61790582, + 35665331 + ], + [ + 4504330, + 55557879 + ], + [ + 34608391, + 43565122 + ], + [ + 73439142, + 23572425 + ], + [ + 90382288, + 37374399 + ], + [ + 29706267, + 693470 + ], + [ + 80217694, + 45495128 + ], + [ + 1072245, + 4553788 + ], + [ + 99923267, + 11255718 + ], + [ + 35268060, + 8447230 + ], + [ + 40931361, + 49860239 + ], + [ + 51264622, + 21083859 + ], + [ + 43795981, + 7675403 + ], + [ + 29022327, + 93338889 + ], + [ + 39527438, + 65478417 + ], + [ + 59398423, + 49185919 + ], + [ + 246742, + 94643056 + ], + [ + 98442601, + 73451251 + ], + [ + 32335640, + 27962394 + ], + [ + 58776517, + 82231482 + ], + [ + 7324636, + 69889776 + ], + [ + 31582853, + 80868814 + ], + [ + 11687792, + 92726575 + ], + [ + 49901068, + 8912402 + ], + [ + 18803497, + 53002640 + ], + [ + 96199409, + 61211872 + ], + [ + 61171419, + 80219845 + ], + [ + 74246908, + 55923109 + ], + [ + 44550679, + 23965368 + ], + [ + 81777983, + 37086060 + ], + [ + 84042812, + 36921787 + ], + [ + 31384806, + 57108009 + ], + [ + 5109517, + 93409061 + ], + [ + 17032006, + 37345045 + ], + [ + 43393110, + 1627278 + ], + [ + 85025278, + 33351167 + ], + [ + 56852467, + 44366020 + ], + [ + 28166168, + 66653839 + ], + [ + 19536085, + 73741253 + ], + [ + 2457385, + 66527575 + ], + [ + 67133799, + 36544541 + ], + [ + 43528089, + 23678098 + ], + [ + 55698453, + 21523282 + ], + [ + 60829600, + 65694237 + ], + [ + 81771473, + 70053696 + ], + [ + 21303260, + 58638242 + ], + [ + 97402126, + 59019447 + ], + [ + 72355194, + 27861204 + ], + [ + 19145873, + 95841110 + ], + [ + 72753883, + 20041612 + ], + [ + 64493983, + 4323885 + ], + [ + 22683168, + 35144225 + ], + [ + 21388202, + 38670901 + ], + [ + 86229429, + 20030197 + ], + [ + 36900807, + 77646535 + ], + [ + 13128745, + 31191427 + ], + [ + 64232589, + 31006422 + ], + [ + 48111937, + 48467454 + ], + [ + 41335847, + 16961577 + ], + [ + 89321421, + 73784600 + ], + [ + 94044739, + 85274352 + ], + [ + 87589133, + 52311780 + ], + [ + 64290937, + 73912743 + ], + [ + 43597818, + 99264987 + ], + [ + 34069688, + 30113058 + ], + [ + 20935165, + 75947196 + ], + [ + 71047219, + 92455472 + ], + [ + 22134393, + 13341577 + ], + [ + 54444718, + 23021912 + ], + [ + 19816680, + 13961874 + ], + [ + 28961776, + 63311053 + ], + [ + 86678267, + 44498404 + ], + [ + 78962114, + 82754721 + ], + [ + 13439664, + 87972060 + ], + [ + 79581419, + 14194431 + ], + [ + 82272108, + 84187882 + ], + [ + 3138333, + 79269869 + ], + [ + 30834285, + 2898497 + ], + [ + 23825413, + 37848466 + ], + [ + 46536340, + 73990392 + ], + [ + 93536557, + 87213142 + ], + [ + 54684217, + 91634351 + ], + [ + 2248212, + 21662143 + ], + [ + 72831483, + 36481066 + ], + [ + 55450632, + 17262287 + ], + [ + 21031936, + 19097343 + ], + [ + 6583499, + 60452417 + ], + [ + 9399174, + 81588766 + ], + [ + 69076896, + 72499065 + ], + [ + 6718057, + 8774463 + ], + [ + 7436539, + 29785328 + ], + [ + 83297533, + 40291110 + ], + [ + 45341910, + 84874525 + ], + [ + 57469290, + 26191889 + ], + [ + 38304730, + 74916304 + ], + [ + 84858047, + 96420658 + ], + [ + 1127404, + 64186073 + ], + [ + 28084231, + 18296724 + ], + [ + 15843634, + 29013975 + ], + [ + 76371314, + 51445461 + ], + [ + 204421, + 24187225 + ], + [ + 99919636, + 55284178 + ], + [ + 31454265, + 91278238 + ], + [ + 9780348, + 62922811 + ], + [ + 14790898, + 90918461 + ], + [ + 11744450, + 11554469 + ], + [ + 58847081, + 89192731 + ], + [ + 89429241, + 46439073 + ], + [ + 45562180, + 89882814 + ], + [ + 97248654, + 66803184 + ], + [ + 69926892, + 13112681 + ], + [ + 5948104, + 42667959 + ], + [ + 75134677, + 4776198 + ], + [ + 25653274, + 60393076 + ], + [ + 62517428, + 62479462 + ], + [ + 56842687, + 79274429 + ], + [ + 66545615, + 85379460 + ], + [ + 42043618, + 62846291 + ], + [ + 78087963, + 34338137 + ], + [ + 97187958, + 60962644 + ], + [ + 83923386, + 10923486 + ], + [ + 38570436, + 71773038 + ], + [ + 80541905, + 71427287 + ], + [ + 33113094, + 73924781 + ], + [ + 40085435, + 23617833 + ], + [ + 18413028, + 65418341 + ], + [ + 14592218, + 88612987 + ], + [ + 34456447, + 69991004 + ], + [ + 46368177, + 69410658 + ], + [ + 35287288, + 77408545 + ], + [ + 26192733, + 3018199 + ], + [ + 83089433, + 22053743 + ], + [ + 49305392, + 11184259 + ], + [ + 4801333, + 54487366 + ], + [ + 35754540, + 32170980 + ], + [ + 85007292, + 42006662 + ], + [ + 98255014, + 90648751 + ], + [ + 86397236, + 55289585 + ], + [ + 92819168, + 6306314 + ], + [ + 8391077, + 30407129 + ], + [ + 99662597, + 55653125 + ], + [ + 92811733, + 94080554 + ], + [ + 74431745, + 99101702 + ], + [ + 67610308, + 89319583 + ], + [ + 79347355, + 90625036 + ], + [ + 81976987, + 99854689 + ], + [ + 39912428, + 8834859 + ], + [ + 57250971, + 90099813 + ], + [ + 22143508, + 2212079 + ], + [ + 81779672, + 37038341 + ], + [ + 20713041, + 46475780 + ], + [ + 65287945, + 92190745 + ], + [ + 46845716, + 72951480 + ], + [ + 37456175, + 6646002 + ], + [ + 1472199, + 25807748 + ], + [ + 24050599, + 51653260 + ], + [ + 5015871, + 69058889 + ], + [ + 37683378, + 21744080 + ], + [ + 85578486, + 69255470 + ], + [ + 48036379, + 21626810 + ], + [ + 71273486, + 14191821 + ], + [ + 37608170, + 23504400 + ], + [ + 72208350, + 15288599 + ], + [ + 2598114, + 68036930 + ], + [ + 43211471, + 91948673 + ], + [ + 65114193, + 25715645 + ], + [ + 94678616, + 42154019 + ], + [ + 51599588, + 23027886 + ], + [ + 57770610, + 36828391 + ], + [ + 21891300, + 82257344 + ], + [ + 79869388, + 78656804 + ], + [ + 84217172, + 84612699 + ], + [ + 91058969, + 24607664 + ], + [ + 6503612, + 98880074 + ], + [ + 45925550, + 2106354 + ], + [ + 61950115, + 27220350 + ], + [ + 7151011, + 17824670 + ], + [ + 18574172, + 15793740 + ], + [ + 26458138, + 6308985 + ], + [ + 40492129, + 79656365 + ], + [ + 30066957, + 81795773 + ], + [ + 28921988, + 88590693 + ], + [ + 62958775, + 59508062 + ], + [ + 29894250, + 46732305 + ], + [ + 45300397, + 87325366 + ], + [ + 13496722, + 26011767 + ], + [ + 97425966, + 70674107 + ], + [ + 60577704, + 42311468 + ], + [ + 30177058, + 98351631 + ], + [ + 4153802, + 51738559 + ], + [ + 62509880, + 46921413 + ], + [ + 2859991, + 38111436 + ], + [ + 40773855, + 58953911 + ], + [ + 67645578, + 62345532 + ], + [ + 4430177, + 20613625 + ], + [ + 61939932, + 33127106 + ], + [ + 8707014, + 19471236 + ], + [ + 23410227, + 60768956 + ], + [ + 40014529, + 37509261 + ], + [ + 17676795, + 1940631 + ], + [ + 16829192, + 26804695 + ], + [ + 83207117, + 39943684 + ], + [ + 19510831, + 23294964 + ], + [ + 91956911, + 18392988 + ], + [ + 43015283, + 67831187 + ], + [ + 75051962, + 8079362 + ], + [ + 26109018, + 79022944 + ], + [ + 74278926, + 37055393 + ], + [ + 64931563, + 44518775 + ], + [ + 87921563, + 22087496 + ], + [ + 12905187, + 57267851 + ], + [ + 38952199, + 6705739 + ], + [ + 33437575, + 58526277 + ], + [ + 56913177, + 52870728 + ], + [ + 82639590, + 11589973 + ], + [ + 1065933, + 79266617 + ], + [ + 29520916, + 73818489 + ], + [ + 76182194, + 91891652 + ], + [ + 38036288, + 54460230 + ], + [ + 21280336, + 84064564 + ], + [ + 53612897, + 13510053 + ], + [ + 94586842, + 55300054 + ], + [ + 39072388, + 73383565 + ], + [ + 31977652, + 70338562 + ], + [ + 17052017, + 71490165 + ], + [ + 67503318, + 22180329 + ], + [ + 40664121, + 83703819 + ], + [ + 99442645, + 83496329 + ], + [ + 44479423, + 69444512 + ], + [ + 51836876, + 77988588 + ], + [ + 45004681, + 64155910 + ], + [ + 90829967, + 54950221 + ], + [ + 88177627, + 68171885 + ], + [ + 19064339, + 65328979 + ], + [ + 61533025, + 43686154 + ], + [ + 60124990, + 2278091 + ], + [ + 63982965, + 41649105 + ], + [ + 86619021, + 47134234 + ], + [ + 42457167, + 67435509 + ], + [ + 53888697, + 40615091 + ], + [ + 71844284, + 51004812 + ], + [ + 80059593, + 97407817 + ], + [ + 13982938, + 3672492 + ], + [ + 59636024, + 14927833 + ], + [ + 39689425, + 48144794 + ], + [ + 22576918, + 1643448 + ], + [ + 79103430, + 6578850 + ], + [ + 51544636, + 54055614 + ], + [ + 99060238, + 96095616 + ], + [ + 32321040, + 14452861 + ], + [ + 59318721, + 6448853 + ], + [ + 28178941, + 8559950 + ], + [ + 59132780, + 18020797 + ], + [ + 11818731, + 56268874 + ], + [ + 33917473, + 21926492 + ], + [ + 17918742, + 42507337 + ], + [ + 59713259, + 57989279 + ], + [ + 64136370, + 41439864 + ], + [ + 44410065, + 87461892 + ], + [ + 52110735, + 40852413 + ], + [ + 70951090, + 78478863 + ], + [ + 54476668, + 75538134 + ], + [ + 84603132, + 17021210 + ], + [ + 63611614, + 47631702 + ], + [ + 75867754, + 36325696 + ], + [ + 9469464, + 76082072 + ], + [ + 24026428, + 19702414 + ], + [ + 91369663, + 16420935 + ], + [ + 58831106, + 12480680 + ], + [ + 5088727, + 34195471 + ], + [ + 63264771, + 23268766 + ], + [ + 98669609, + 94836322 + ], + [ + 77814468, + 71960543 + ], + [ + 9389389, + 83045942 + ], + [ + 9520039, + 87457518 + ], + [ + 19994802, + 30538649 + ], + [ + 76852119, + 97346788 + ], + [ + 37744962, + 62793445 + ], + [ + 62172294, + 3747174 + ], + [ + 90345993, + 5783322 + ], + [ + 7185374, + 38518114 + ], + [ + 40215105, + 29796911 + ], + [ + 16837292, + 76943934 + ], + [ + 2480397, + 49496952 + ], + [ + 47726218, + 99665023 + ], + [ + 78624967, + 22308799 + ], + [ + 67965128, + 55537580 + ], + [ + 82309100, + 84544648 + ], + [ + 75719811, + 28543522 + ], + [ + 75801305, + 66359857 + ], + [ + 63972570, + 95418219 + ], + [ + 14011718, + 86866320 + ], + [ + 75183787, + 47426140 + ], + [ + 73352864, + 43982965 + ], + [ + 29972988, + 43852149 + ], + [ + 58563165, + 31179255 + ], + [ + 70472100, + 7862033 + ], + [ + 64192558, + 11819537 + ], + [ + 12364753, + 94677022 + ], + [ + 1693957, + 91046048 + ], + [ + 8218520, + 14171552 + ], + [ + 46540291, + 97576924 + ], + [ + 95351673, + 78372102 + ], + [ + 96522988, + 46815244 + ], + [ + 69052319, + 22772127 + ], + [ + 41524951, + 86149194 + ], + [ + 96206239, + 30210603 + ], + [ + 39951626, + 98134820 + ], + [ + 5096099, + 41374965 + ], + [ + 95305657, + 64494941 + ], + [ + 5398685, + 49310331 + ], + [ + 45230323, + 78078159 + ], + [ + 53507752, + 86267935 + ], + [ + 51546953, + 23473799 + ], + [ + 43816392, + 21800748 + ], + [ + 67701848, + 3127544 + ], + [ + 86712044, + 29470425 + ], + [ + 3944051, + 58928867 + ], + [ + 50431606, + 95227061 + ], + [ + 47479188, + 1017282 + ], + [ + 71209193, + 60569049 + ], + [ + 1090475, + 63423669 + ], + [ + 59537231, + 70742428 + ], + [ + 937408, + 39314245 + ], + [ + 36539878, + 58918032 + ], + [ + 30288044, + 46997481 + ], + [ + 33186628, + 53310918 + ], + [ + 64702884, + 56649732 + ], + [ + 41884953, + 36156218 + ], + [ + 29213587, + 70518922 + ], + [ + 98140283, + 30038993 + ], + [ + 33249500, + 10405077 + ], + [ + 73267058, + 44673403 + ], + [ + 90990065, + 43767500 + ], + [ + 13475425, + 34381830 + ], + [ + 4642579, + 64087184 + ], + [ + 48489010, + 26179313 + ], + [ + 87670151, + 62047586 + ], + [ + 71849422, + 74619375 + ], + [ + 26394634, + 94227880 + ], + [ + 13485658, + 53975914 + ], + [ + 10186683, + 4401426 + ], + [ + 79483409, + 20942382 + ], + [ + 98375699, + 68191229 + ], + [ + 97719807, + 54109621 + ], + [ + 42521192, + 9979646 + ], + [ + 9758380, + 60574879 + ], + [ + 32854733, + 71333047 + ], + [ + 24093061, + 26597204 + ], + [ + 58075334, + 75999067 + ], + [ + 41217435, + 62948801 + ], + [ + 98083321, + 30300065 + ], + [ + 23664208, + 78449354 + ], + [ + 84969110, + 59128622 + ], + [ + 58287441, + 83049375 + ], + [ + 46701784, + 1219288 + ], + [ + 97241858, + 78887986 + ], + [ + 63534520, + 8335975 + ], + [ + 12202364, + 89375423 + ], + [ + 91829273, + 37859103 + ], + [ + 96849369, + 68093654 + ], + [ + 44249116, + 47025886 + ], + [ + 56464779, + 58009210 + ], + [ + 15603188, + 80739535 + ], + [ + 67207775, + 16273217 + ], + [ + 76331177, + 62801832 + ], + [ + 15279824, + 4792463 + ], + [ + 28788984, + 72173068 + ], + [ + 21785336, + 25617458 + ], + [ + 1274298, + 71939622 + ], + [ + 50906895, + 96978641 + ], + [ + 42400892, + 27744358 + ], + [ + 54161897, + 12869217 + ], + [ + 93153578, + 4594086 + ], + [ + 91101738, + 43687392 + ], + [ + 42371066, + 5813557 + ], + [ + 91028909, + 72925494 + ], + [ + 48386521, + 17949352 + ], + [ + 88845637, + 87044501 + ], + [ + 81854444, + 44399639 + ], + [ + 44318803, + 48283627 + ], + [ + 20888155, + 46935856 + ], + [ + 23351860, + 87573082 + ], + [ + 99588670, + 89087655 + ], + [ + 35876905, + 20270124 + ], + [ + 32353699, + 285823 + ], + [ + 47480406, + 692670 + ], + [ + 92002585, + 81396839 + ], + [ + 15096176, + 37560903 + ], + [ + 475492, + 70573466 + ], + [ + 25705967, + 61918196 + ], + [ + 47589995, + 6229613 + ], + [ + 17718316, + 87143206 + ], + [ + 49734752, + 95450879 + ], + [ + 24771451, + 95169157 + ], + [ + 22482856, + 84072673 + ], + [ + 63569350, + 26253560 + ], + [ + 65486785, + 8000127 + ], + [ + 23452731, + 99376942 + ], + [ + 42123461, + 9319067 + ], + [ + 61485378, + 62840534 + ], + [ + 1233982, + 37773578 + ], + [ + 4528207, + 95892182 + ], + [ + 27238267, + 864862 + ], + [ + 54224340, + 64490066 + ], + [ + 25540180, + 97000747 + ], + [ + 76414231, + 82481397 + ], + [ + 14341040, + 98016205 + ], + [ + 37340754, + 33739990 + ], + [ + 20974578, + 47641925 + ], + [ + 46417967, + 6826776 + ], + [ + 75637523, + 83482159 + ], + [ + 8682893, + 19887992 + ], + [ + 51931033, + 66949635 + ], + [ + 44202554, + 97237861 + ], + [ + 13041901, + 69403191 + ], + [ + 11884643, + 67224604 + ], + [ + 52476693, + 69390728 + ], + [ + 82669889, + 26768601 + ], + [ + 30604527, + 57807541 + ], + [ + 63144571, + 27004194 + ], + [ + 36970007, + 43844007 + ], + [ + 45161419, + 58073447 + ], + [ + 78711821, + 74318126 + ], + [ + 74021929, + 9968674 + ], + [ + 46691058, + 27221955 + ], + [ + 20547337, + 35192227 + ], + [ + 48610832, + 62515256 + ], + [ + 46466802, + 84645460 + ], + [ + 58487209, + 1129712 + ], + [ + 69165593, + 72124045 + ], + [ + 73010968, + 63654613 + ], + [ + 33109634, + 18214691 + ], + [ + 42774272, + 45295652 + ], + [ + 85185444, + 84322538 + ], + [ + 74259659, + 30496769 + ], + [ + 21099920, + 81053546 + ], + [ + 76945626, + 99902756 + ], + [ + 39185537, + 46429600 + ], + [ + 10806314, + 46665600 + ], + [ + 13021060, + 90583520 + ], + [ + 99749765, + 21165126 + ], + [ + 84845286, + 8019500 + ], + [ + 55812078, + 87412064 + ], + [ + 54348623, + 50358666 + ], + [ + 78760295, + 88001849 + ], + [ + 57830123, + 85164051 + ], + [ + 41213536, + 22235063 + ], + [ + 45884672, + 89680874 + ], + [ + 54878880, + 20119441 + ], + [ + 48353932, + 56896538 + ], + [ + 46000668, + 27926447 + ], + [ + 33306336, + 80751878 + ], + [ + 3401172, + 63893184 + ], + [ + 61547720, + 37611250 + ], + [ + 48498881, + 92056292 + ], + [ + 97976393, + 61556013 + ], + [ + 35962343, + 38684918 + ], + [ + 92713488, + 63100979 + ], + [ + 38185421, + 79871042 + ], + [ + 22086527, + 46603842 + ], + [ + 80593670, + 77963864 + ], + [ + 52909295, + 19468170 + ], + [ + 10249870, + 58937503 + ], + [ + 37019244, + 22144800 + ], + [ + 57895753, + 68267811 + ], + [ + 85700718, + 32183419 + ], + [ + 43057614, + 39511867 + ], + [ + 87206470, + 91403534 + ], + [ + 58734316, + 72589584 + ], + [ + 67503156, + 94937312 + ], + [ + 57746694, + 85982824 + ], + [ + 43703920, + 91158168 + ], + [ + 49299799, + 22472469 + ], + [ + 91651694, + 6956276 + ], + [ + 59872703, + 90473679 + ], + [ + 64997441, + 40634237 + ], + [ + 10924570, + 40263735 + ], + [ + 61043420, + 50437252 + ], + [ + 45766837, + 17469173 + ], + [ + 24958368, + 18068371 + ], + [ + 14755894, + 25368374 + ], + [ + 8521518, + 8159141 + ], + [ + 14821063, + 54104638 + ], + [ + 59720025, + 19284289 + ], + [ + 99560555, + 20581026 + ], + [ + 36001117, + 39062748 + ], + [ + 62019679, + 68632872 + ], + [ + 13527311, + 7612779 + ], + [ + 88856422, + 4261490 + ], + [ + 76600994, + 8735629 + ], + [ + 27031692, + 79080425 + ], + [ + 98207179, + 78810533 + ], + [ + 46008148, + 24389674 + ], + [ + 28169277, + 56980337 + ], + [ + 11091905, + 14664967 + ], + [ + 43463435, + 27812030 + ], + [ + 13558982, + 58131876 + ], + [ + 73561148, + 27784737 + ], + [ + 79784947, + 12514365 + ], + [ + 18552772, + 25577336 + ], + [ + 68309328, + 7621869 + ], + [ + 94306153, + 44963222 + ], + [ + 12327053, + 8670895 + ], + [ + 90317381, + 73276836 + ], + [ + 7902744, + 3277670 + ], + [ + 24442818, + 90521294 + ], + [ + 10004742, + 91195506 + ], + [ + 50646711, + 90780393 + ], + [ + 43720125, + 68378606 + ], + [ + 47407132, + 62592534 + ], + [ + 54897007, + 62601851 + ], + [ + 72953666, + 18104840 + ], + [ + 51369380, + 35107577 + ], + [ + 67013948, + 40617572 + ], + [ + 45217087, + 41513222 + ], + [ + 80870864, + 41613392 + ], + [ + 35835261, + 67747671 + ], + [ + 62623485, + 43126415 + ], + [ + 26209370, + 6379559 + ], + [ + 48323625, + 38517369 + ], + [ + 58926305, + 27904628 + ], + [ + 45070546, + 68722764 + ], + [ + 51595677, + 68478596 + ], + [ + 16074059, + 28375325 + ], + [ + 29785537, + 90661306 + ], + [ + 88127831, + 48829372 + ], + [ + 11796430, + 88782192 + ], + [ + 58312411, + 76307037 + ], + [ + 80221882, + 257060 + ], + [ + 48122829, + 78624729 + ], + [ + 34976756, + 21284178 + ], + [ + 32520683, + 39153312 + ], + [ + 77832123, + 58317635 + ], + [ + 70056276, + 83044318 + ], + [ + 72555593, + 54596626 + ], + [ + 69621144, + 24131994 + ], + [ + 10188777, + 23745538 + ], + [ + 14791536, + 49976844 + ], + [ + 57027066, + 82582704 + ], + [ + 78308081, + 51593198 + ], + [ + 59586206, + 38924950 + ], + [ + 46226019, + 34296854 + ], + [ + 20566805, + 22014686 + ], + [ + 12617044, + 92577615 + ], + [ + 63925660, + 88892394 + ], + [ + 99201757, + 90262731 + ], + [ + 10806769, + 79246786 + ], + [ + 4544983, + 54045856 + ], + [ + 68780902, + 36965799 + ], + [ + 57047335, + 37779883 + ], + [ + 97581152, + 8034132 + ], + [ + 34137385, + 5050158 + ], + [ + 32884627, + 72519466 + ], + [ + 90268719, + 29999432 + ], + [ + 51524669, + 87496051 + ], + [ + 46868626, + 30048798 + ], + [ + 93235398, + 41718532 + ], + [ + 67680693, + 90122150 + ], + [ + 98995504, + 92393415 + ], + [ + 71073896, + 44866759 + ], + [ + 26559547, + 11545186 + ], + [ + 21147418, + 19619693 + ], + [ + 92833468, + 85298076 + ], + [ + 32447907, + 79806408 + ], + [ + 99617602, + 62011970 + ], + [ + 4685533, + 95229002 + ], + [ + 15901924, + 88078207 + ], + [ + 89391058, + 54765068 + ], + [ + 72646652, + 12510640 + ], + [ + 91819561, + 3054115 + ], + [ + 95295275, + 17552773 + ], + [ + 26685548, + 55942815 + ], + [ + 56142963, + 81119790 + ], + [ + 96841687, + 74526079 + ], + [ + 60554741, + 18752740 + ], + [ + 68612091, + 96604632 + ], + [ + 84000680, + 40481569 + ], + [ + 93199382, + 59513860 + ], + [ + 12557071, + 28378003 + ], + [ + 21688896, + 71730500 + ], + [ + 31398501, + 75298281 + ], + [ + 32961121, + 14366291 + ], + [ + 77281366, + 45167349 + ], + [ + 94315922, + 19246401 + ], + [ + 62099605, + 92422391 + ], + [ + 54921397, + 68720110 + ], + [ + 94493696, + 33681353 + ], + [ + 97940499, + 66952191 + ], + [ + 12148417, + 91027551 + ], + [ + 41259569, + 72927468 + ], + [ + 19587319, + 8393622 + ], + [ + 15310852, + 94482818 + ], + [ + 65283806, + 84828192 + ], + [ + 59537875, + 66501324 + ], + [ + 24930531, + 26314172 + ], + [ + 87259383, + 20197333 + ], + [ + 56875934, + 60902626 + ], + [ + 99449978, + 18278632 + ], + [ + 59047468, + 94186995 + ], + [ + 66331140, + 73675877 + ], + [ + 53403952, + 69925208 + ], + [ + 78665960, + 25724914 + ], + [ + 90283750, + 92920552 + ], + [ + 98407609, + 92419585 + ], + [ + 23995874, + 95142877 + ], + [ + 69994969, + 4353154 + ], + [ + 50107664, + 30924574 + ], + [ + 70778771, + 96970949 + ], + [ + 32523963, + 86276827 + ], + [ + 63141186, + 57458066 + ], + [ + 78344563, + 19278386 + ], + [ + 47423331, + 7836136 + ], + [ + 69830313, + 48831301 + ], + [ + 82358071, + 50236056 + ], + [ + 58821255, + 55348261 + ], + [ + 76125077, + 70027764 + ], + [ + 84593598, + 18704339 + ], + [ + 17457055, + 82221339 + ], + [ + 35348437, + 52293459 + ], + [ + 78355978, + 22779856 + ], + [ + 43014937, + 28429362 + ], + [ + 87976641, + 65504434 + ], + [ + 66837397, + 43267103 + ], + [ + 5683656, + 5663836 + ], + [ + 147252, + 73296074 + ], + [ + 69627145, + 46103896 + ], + [ + 31153879, + 54618382 + ], + [ + 87265503, + 9967660 + ], + [ + 2540908, + 99106465 + ], + [ + 25370649, + 33813526 + ], + [ + 23059196, + 50182242 + ], + [ + 61735897, + 20110104 + ], + [ + 93585873, + 13962316 + ], + [ + 94004893, + 76609057 + ], + [ + 69074645, + 62147968 + ], + [ + 45445379, + 55187999 + ], + [ + 14040218, + 72939416 + ], + [ + 27392757, + 46964247 + ], + [ + 90832634, + 78741762 + ], + [ + 65827892, + 46479600 + ], + [ + 15069417, + 71582265 + ], + [ + 16791081, + 83738934 + ], + [ + 37847505, + 3439343 + ], + [ + 52700878, + 78412260 + ], + [ + 18796586, + 2843715 + ], + [ + 73879956, + 63555595 + ], + [ + 37578498, + 96521538 + ], + [ + 8809830, + 99028168 + ], + [ + 10646120, + 33256799 + ], + [ + 75482492, + 37430918 + ], + [ + 68311961, + 16559115 + ], + [ + 17629010, + 2896921 + ], + [ + 28990273, + 81516151 + ], + [ + 50883075, + 40194670 + ], + [ + 90852265, + 87484542 + ], + [ + 51056250, + 17829930 + ], + [ + 11740216, + 87457213 + ], + [ + 48563136, + 40525061 + ], + [ + 24043185, + 36496547 + ], + [ + 38096546, + 7954445 + ], + [ + 68373003, + 57604861 + ], + [ + 54240301, + 43107647 + ], + [ + 61112137, + 64018862 + ], + [ + 85305920, + 84504343 + ], + [ + 88605930, + 32233644 + ], + [ + 52385532, + 96231262 + ], + [ + 19060784, + 22009489 + ], + [ + 45357224, + 66033617 + ], + [ + 8493240, + 27262254 + ], + [ + 87373289, + 33676651 + ], + [ + 37479004, + 29127527 + ], + [ + 49540776, + 26809677 + ], + [ + 51948293, + 82876836 + ], + [ + 80116560, + 21467343 + ], + [ + 4661368, + 80956708 + ], + [ + 33376160, + 85993344 + ], + [ + 14849848, + 73767994 + ], + [ + 77488528, + 27782202 + ], + [ + 85999060, + 69256576 + ], + [ + 16011492, + 26218005 + ], + [ + 77043132, + 47556785 + ], + [ + 16634379, + 74053810 + ], + [ + 33558478, + 93224960 + ], + [ + 97777016, + 49438296 + ], + [ + 93475625, + 84457643 + ], + [ + 38071142, + 17825730 + ], + [ + 48158809, + 84980971 + ], + [ + 53750021, + 82164055 + ], + [ + 49329502, + 21804365 + ], + [ + 33303444, + 25744762 + ], + [ + 50317377, + 50331847 + ], + [ + 67510596, + 53839783 + ], + [ + 42914697, + 44688439 + ], + [ + 11175449, + 16490077 + ], + [ + 73510491, + 73228739 + ], + [ + 11975029, + 51110447 + ], + [ + 73267224, + 34192460 + ], + [ + 31903939, + 72833104 + ], + [ + 22418891, + 1830067 + ], + [ + 80327097, + 89966358 + ], + [ + 45581822, + 647966 + ], + [ + 54017988, + 18340370 + ], + [ + 65305000, + 2396665 + ], + [ + 3182753, + 440561 + ], + [ + 87911391, + 5824977 + ], + [ + 73645386, + 74309572 + ], + [ + 95697613, + 71121187 + ], + [ + 87838392, + 17307900 + ], + [ + 72966862, + 16148226 + ], + [ + 69813428, + 69602264 + ], + [ + 4171961, + 36563792 + ], + [ + 7519453, + 96412785 + ], + [ + 56291082, + 17099934 + ], + [ + 4547601, + 43893157 + ], + [ + 18317675, + 49592659 + ], + [ + 49367580, + 59137880 + ], + [ + 45960363, + 26656039 + ], + [ + 2839300, + 87757296 + ], + [ + 96904796, + 32159936 + ], + [ + 21140855, + 49838971 + ], + [ + 67800263, + 95436577 + ], + [ + 74024231, + 10635604 + ], + [ + 8828755, + 14199325 + ], + [ + 9511627, + 84262691 + ], + [ + 62799865, + 19946601 + ], + [ + 71105294, + 85804101 + ], + [ + 89564161, + 21692408 + ], + [ + 64441631, + 49123461 + ], + [ + 14224666, + 96688073 + ], + [ + 99913295, + 20124144 + ], + [ + 16028846, + 69799555 + ], + [ + 19156869, + 12883753 + ], + [ + 85574025, + 63706041 + ], + [ + 77985336, + 60695733 + ], + [ + 54618632, + 58532741 + ], + [ + 68817571, + 16247412 + ], + [ + 81442469, + 81332269 + ], + [ + 91376608, + 80587370 + ], + [ + 99164389, + 28431556 + ], + [ + 18498063, + 47934589 + ], + [ + 5072995, + 40597862 + ], + [ + 86677966, + 74274975 + ], + [ + 81694826, + 89990638 + ], + [ + 14775873, + 23313429 + ], + [ + 90519802, + 56608921 + ], + [ + 41268828, + 45264237 + ], + [ + 67221436, + 42255734 + ], + [ + 89132757, + 79013055 + ], + [ + 3434715, + 83233105 + ], + [ + 74461861, + 63819017 + ], + [ + 26871170, + 5547741 + ], + [ + 4806231, + 36845168 + ], + [ + 97865663, + 8680925 + ], + [ + 73371827, + 78530922 + ], + [ + 7297335, + 67276135 + ], + [ + 15946032, + 56354869 + ], + [ + 86514927, + 44539603 + ], + [ + 68989929, + 56406026 + ], + [ + 96096179, + 16907238 + ], + [ + 90588184, + 38983595 + ], + [ + 54041771, + 12802239 + ], + [ + 89738075, + 48621857 + ], + [ + 74352797, + 63139236 + ], + [ + 90855729, + 35185099 + ], + [ + 40972353, + 28737683 + ], + [ + 78959009, + 15905627 + ], + [ + 81070094, + 95670311 + ], + [ + 21961146, + 35251318 + ], + [ + 34103339, + 28783081 + ], + [ + 95712275, + 82279575 + ], + [ + 52922040, + 79991891 + ], + [ + 46596343, + 91585157 + ], + [ + 59367099, + 55238165 + ], + [ + 96395153, + 30083397 + ], + [ + 29493337, + 67779913 + ], + [ + 31844621, + 30883353 + ], + [ + 84167189, + 87587135 + ], + [ + 6698700, + 49824095 + ], + [ + 58405531, + 74738500 + ], + [ + 64575430, + 70437460 + ], + [ + 61742847, + 77569942 + ], + [ + 63987122, + 78818565 + ], + [ + 16622417, + 15254075 + ], + [ + 99996278, + 28210447 + ], + [ + 89929248, + 20525503 + ], + [ + 63235555, + 52427397 + ], + [ + 84651710, + 74425495 + ], + [ + 59022605, + 73258702 + ], + [ + 59443965, + 47981277 + ], + [ + 67256407, + 82907637 + ], + [ + 26105194, + 22210329 + ], + [ + 48612192, + 75849253 + ], + [ + 83047792, + 9376612 + ], + [ + 43548120, + 46826212 + ], + [ + 20538966, + 8426245 + ], + [ + 60869217, + 52836031 + ], + [ + 50133695, + 92922036 + ], + [ + 11728216, + 52717840 + ], + [ + 35795462, + 15880086 + ], + [ + 2872092, + 48902775 + ], + [ + 56946302, + 4823555 + ], + [ + 56809651, + 35309043 + ], + [ + 22658442, + 81061199 + ], + [ + 92025640, + 16675576 + ], + [ + 69821637, + 57991043 + ], + [ + 44382026, + 7722688 + ], + [ + 22960477, + 7014586 + ], + [ + 74926409, + 40055628 + ], + [ + 92466481, + 42836094 + ], + [ + 80533222, + 51396218 + ], + [ + 32281500, + 45101260 + ], + [ + 13710569, + 60950848 + ], + [ + 55107680, + 65144509 + ], + [ + 36128412, + 11360728 + ], + [ + 33518364, + 6595739 + ], + [ + 63952110, + 82096073 + ], + [ + 51087814, + 54640317 + ], + [ + 86926707, + 50982532 + ], + [ + 10534642, + 48735386 + ], + [ + 91189087, + 52914621 + ], + [ + 65176464, + 95892352 + ], + [ + 17449701, + 46005743 + ], + [ + 23601528, + 5728751 + ], + [ + 38954337, + 50560629 + ], + [ + 49641145, + 37280576 + ], + [ + 79280824, + 10484033 + ], + [ + 86732978, + 49157616 + ], + [ + 23445716, + 56390683 + ], + [ + 17584173, + 79606688 + ], + [ + 23484639, + 20316861 + ], + [ + 14129443, + 95452124 + ], + [ + 38529328, + 46330803 + ], + [ + 22929589, + 18109887 + ], + [ + 71284967, + 29551653 + ], + [ + 13264058, + 85863240 + ], + [ + 78488594, + 40394055 + ], + [ + 40782546, + 38583137 + ], + [ + 89025090, + 30859522 + ], + [ + 21496345, + 8817054 + ], + [ + 67101706, + 87849125 + ], + [ + 13338136, + 9945517 + ], + [ + 14827342, + 94290670 + ], + [ + 16514849, + 47152224 + ], + [ + 10878477, + 17344928 + ], + [ + 31876770, + 49097358 + ], + [ + 76126469, + 44339196 + ], + [ + 32976064, + 35260357 + ], + [ + 15249456, + 85648380 + ], + [ + 76748233, + 25003294 + ], + [ + 88074213, + 94861699 + ], + [ + 32658034, + 40326992 + ], + [ + 36662157, + 64716292 + ], + [ + 59799075, + 2638399 + ], + [ + 85354005, + 63205173 + ], + [ + 81465663, + 21069879 + ], + [ + 108516, + 44978153 + ], + [ + 20383662, + 10705490 + ], + [ + 27412359, + 55919334 + ], + [ + 98290929, + 14343805 + ], + [ + 26118662, + 61491446 + ], + [ + 5147731, + 57097964 + ], + [ + 6615792, + 74900460 + ], + [ + 70688630, + 25482078 + ], + [ + 15896545, + 54247369 + ], + [ + 5030435, + 83363147 + ], + [ + 36686800, + 8912998 + ], + [ + 55179509, + 39772874 + ], + [ + 31579927, + 57962735 + ], + [ + 47375135, + 94016992 + ], + [ + 42923448, + 41061582 + ], + [ + 53077847, + 81105071 + ], + [ + 56237665, + 93755018 + ], + [ + 50691812, + 93939191 + ], + [ + 1338611, + 4653433 + ], + [ + 92163950, + 57224642 + ], + [ + 83199964, + 65304980 + ], + [ + 93512944, + 46150199 + ], + [ + 51241772, + 97832802 + ], + [ + 18968506, + 46901971 + ], + [ + 94350009, + 36745221 + ], + [ + 18153907, + 57731321 + ], + [ + 73885781, + 68544118 + ], + [ + 4022281, + 73623459 + ], + [ + 8760040, + 16293549 + ], + [ + 92962757, + 3511035 + ], + [ + 71828116, + 9506789 + ], + [ + 85882464, + 60048693 + ], + [ + 65371999, + 20304898 + ], + [ + 19565976, + 95524259 + ], + [ + 90278410, + 23873914 + ], + [ + 76354406, + 38959285 + ], + [ + 44388342, + 8653251 + ], + [ + 2702733, + 28906502 + ], + [ + 51481489, + 75106919 + ], + [ + 71758272, + 71938081 + ], + [ + 45288473, + 5117206 + ], + [ + 67238532, + 53816546 + ], + [ + 91087828, + 11866660 + ], + [ + 44598494, + 29946420 + ], + [ + 72009931, + 75535956 + ], + [ + 93660961, + 37815779 + ], + [ + 63172721, + 18419185 + ], + [ + 64870613, + 42658780 + ], + [ + 1446643, + 15669481 + ], + [ + 4368102, + 74083415 + ], + [ + 59945674, + 30209360 + ], + [ + 47415980, + 32023015 + ], + [ + 64846975, + 58320262 + ], + [ + 69865319, + 48291083 + ], + [ + 75306623, + 6175401 + ], + [ + 21208016, + 36924047 + ], + [ + 75906804, + 30424973 + ], + [ + 84210842, + 22663405 + ], + [ + 18232147, + 85586502 + ], + [ + 24132980, + 8873051 + ], + [ + 10950916, + 22651161 + ], + [ + 72861601, + 41119353 + ], + [ + 56767458, + 17649801 + ], + [ + 62279502, + 23484523 + ], + [ + 35335181, + 74774037 + ], + [ + 24351173, + 52693175 + ], + [ + 2981399, + 59720516 + ], + [ + 72016421, + 10922792 + ], + [ + 37158040, + 18627611 + ], + [ + 1637858, + 58472581 + ], + [ + 70849021, + 79988232 + ], + [ + 14136567, + 56624304 + ], + [ + 65543980, + 95580451 + ], + [ + 30328153, + 17070839 + ], + [ + 59425815, + 34733760 + ], + [ + 56968244, + 68226 + ], + [ + 82047890, + 56046328 + ], + [ + 3283507, + 71685116 + ], + [ + 83227245, + 61292399 + ], + [ + 93078737, + 57122061 + ], + [ + 40597883, + 71575074 + ], + [ + 38834675, + 54971232 + ], + [ + 90566037, + 98544397 + ], + [ + 98794941, + 10406930 + ], + [ + 68725858, + 44963021 + ], + [ + 20742434, + 92256075 + ], + [ + 21528294, + 59730509 + ], + [ + 48442019, + 9912844 + ], + [ + 64098195, + 37028880 + ], + [ + 42813114, + 72869385 + ], + [ + 86018019, + 21109214 + ], + [ + 49729660, + 50620627 + ], + [ + 30269095, + 13175687 + ], + [ + 32705884, + 59495484 + ], + [ + 2320545, + 18412712 + ], + [ + 38892929, + 50366061 + ], + [ + 27626863, + 8926389 + ], + [ + 45209668, + 22304154 + ], + [ + 40882870, + 30392588 + ], + [ + 66472907, + 48913713 + ], + [ + 59038644, + 62826047 + ], + [ + 54933754, + 37855258 + ], + [ + 53166422, + 66488448 + ], + [ + 88295281, + 72152231 + ], + [ + 27045449, + 70196019 + ], + [ + 66420352, + 80949444 + ], + [ + 29221552, + 10580853 + ], + [ + 61933322, + 5090247 + ], + [ + 94413377, + 10421252 + ], + [ + 60685682, + 70280534 + ], + [ + 1481992, + 38462052 + ], + [ + 67150756, + 6383232 + ], + [ + 34438614, + 82904548 + ], + [ + 75623234, + 46474283 + ], + [ + 70690276, + 17003059 + ], + [ + 9466052, + 17778071 + ], + [ + 34127017, + 10412675 + ], + [ + 65862841, + 81071871 + ], + [ + 49480414, + 95402865 + ], + [ + 3764479, + 95957370 + ], + [ + 85006922, + 15237728 + ], + [ + 92098726, + 6084804 + ], + [ + 34440548, + 37636932 + ], + [ + 81208240, + 75294553 + ], + [ + 74955558, + 72852033 + ], + [ + 34313124, + 55592532 + ], + [ + 65895908, + 13984454 + ], + [ + 40806480, + 6437271 + ], + [ + 62940092, + 67563970 + ], + [ + 6585276, + 33008250 + ], + [ + 52202585, + 96851090 + ], + [ + 94979110, + 19090879 + ], + [ + 64545127, + 38779313 + ], + [ + 77837725, + 76290200 + ], + [ + 82461930, + 42052868 + ], + [ + 13613508, + 97960223 + ], + [ + 48696147, + 77180802 + ], + [ + 81341084, + 60167391 + ], + [ + 29526461, + 52301451 + ], + [ + 84119960, + 5760020 + ], + [ + 4061859, + 99723568 + ], + [ + 74522184, + 71353395 + ], + [ + 57883498, + 57035527 + ], + [ + 62636924, + 6937665 + ], + [ + 42021549, + 50567914 + ], + [ + 97959898, + 54861420 + ], + [ + 92641378, + 47555919 + ], + [ + 53020635, + 15880572 + ], + [ + 59860209, + 11471593 + ], + [ + 64231549, + 66685692 + ], + [ + 55740801, + 5605307 + ], + [ + 13312628, + 60409638 + ], + [ + 96224077, + 34404383 + ], + [ + 73569176, + 10924135 + ], + [ + 84736767, + 39126046 + ], + [ + 22697513, + 88181999 + ], + [ + 301825, + 15436703 + ], + [ + 83516216, + 62560289 + ], + [ + 25094443, + 58421373 + ], + [ + 22023629, + 54205606 + ], + [ + 16355740, + 73578280 + ], + [ + 71812979, + 22332030 + ], + [ + 87940452, + 86249287 + ], + [ + 57811023, + 47529891 + ], + [ + 79895191, + 83560730 + ], + [ + 35112268, + 3284641 + ], + [ + 15700061, + 90848440 + ], + [ + 96652116, + 16716889 + ], + [ + 30453969, + 2115782 + ], + [ + 93377148, + 70038175 + ], + [ + 44735563, + 9865263 + ], + [ + 23350612, + 86307760 + ], + [ + 90268781, + 17859353 + ], + [ + 14924359, + 77631426 + ], + [ + 35684660, + 73325788 + ], + [ + 88364322, + 5160238 + ], + [ + 69718003, + 69834824 + ], + [ + 55105780, + 64083793 + ], + [ + 50270397, + 57493952 + ], + [ + 85782020, + 30433096 + ], + [ + 22838043, + 31292870 + ], + [ + 29248994, + 4382337 + ], + [ + 95634467, + 39619093 + ], + [ + 98696500, + 61240485 + ], + [ + 59231608, + 30392686 + ], + [ + 69841663, + 43217925 + ], + [ + 45857034, + 53848612 + ], + [ + 19129224, + 34039886 + ], + [ + 51377794, + 34200599 + ], + [ + 62444367, + 52060772 + ], + [ + 98736809, + 23653759 + ], + [ + 82743084, + 18236900 + ], + [ + 86265738, + 91737794 + ], + [ + 46724018, + 30401663 + ], + [ + 27745190, + 55443850 + ], + [ + 37759846, + 5215736 + ], + [ + 41139714, + 78493604 + ], + [ + 54933856, + 15628986 + ], + [ + 2233113, + 66923524 + ], + [ + 68470595, + 46539493 + ], + [ + 70447888, + 67256734 + ], + [ + 94470252, + 66296663 + ], + [ + 94415454, + 11920231 + ], + [ + 70722062, + 49300069 + ], + [ + 67197202, + 86983788 + ], + [ + 33302303, + 27466711 + ], + [ + 34329712, + 39451013 + ], + [ + 12644044, + 41493163 + ], + [ + 17568103, + 52512137 + ], + [ + 79354976, + 69295855 + ], + [ + 20433805, + 79022231 + ], + [ + 3235492, + 72521454 + ], + [ + 11801217, + 87408843 + ], + [ + 7638668, + 53356334 + ], + [ + 71960072, + 85776673 + ], + [ + 17501691, + 15321727 + ], + [ + 46765734, + 70887863 + ], + [ + 11992387, + 35886375 + ], + [ + 43556047, + 67358788 + ], + [ + 20977654, + 29660219 + ], + [ + 46668847, + 74057861 + ], + [ + 94316899, + 41034044 + ], + [ + 84976361, + 64271757 + ], + [ + 41989914, + 13287979 + ], + [ + 43301201, + 78363435 + ], + [ + 30981698, + 2128530 + ], + [ + 94283125, + 65756615 + ], + [ + 84113655, + 30672863 + ], + [ + 54749980, + 75403593 + ], + [ + 93651650, + 91138507 + ], + [ + 93017989, + 59903480 + ], + [ + 7030122, + 33326571 + ], + [ + 14902948, + 69873981 + ], + [ + 44314198, + 72768844 + ], + [ + 25134393, + 46381143 + ], + [ + 42083514, + 64516617 + ], + [ + 59318138, + 55152831 + ], + [ + 96391651, + 88765609 + ], + [ + 13338601, + 99602473 + ], + [ + 33487177, + 97433654 + ], + [ + 19954148, + 7150505 + ], + [ + 79782052, + 95655487 + ], + [ + 51957640, + 59402888 + ], + [ + 39681417, + 10813282 + ], + [ + 71703167, + 64116899 + ], + [ + 79889882, + 68012852 + ], + [ + 70030747, + 97960032 + ], + [ + 92744720, + 36896934 + ], + [ + 56905113, + 44931851 + ], + [ + 15008443, + 99185286 + ], + [ + 82173622, + 24456649 + ], + [ + 57939777, + 92869023 + ], + [ + 60359412, + 39880075 + ], + [ + 6722439, + 818973 + ], + [ + 67301590, + 41037848 + ], + [ + 23224630, + 213968 + ], + [ + 44922104, + 77091875 + ], + [ + 63945573, + 73380941 + ], + [ + 19280040, + 55751233 + ], + [ + 28642532, + 9900535 + ], + [ + 74099467, + 48116543 + ], + [ + 93798924, + 34051706 + ], + [ + 65539883, + 96025917 + ], + [ + 88498913, + 62984901 + ], + [ + 43537064, + 62039749 + ], + [ + 52944632, + 60769529 + ], + [ + 39763058, + 76878299 + ], + [ + 86913315, + 9791065 + ], + [ + 78039688, + 1883142 + ], + [ + 8834553, + 76453346 + ], + [ + 48855408, + 52342303 + ], + [ + 77494316, + 93298822 + ], + [ + 3057211, + 29128376 + ], + [ + 4601540, + 53010423 + ], + [ + 91805898, + 44746299 + ], + [ + 18767579, + 21265221 + ], + [ + 11185355, + 5731775 + ], + [ + 86791397, + 35645792 + ], + [ + 82396006, + 64154550 + ], + [ + 43687588, + 75226962 + ], + [ + 49982660, + 66374271 + ], + [ + 83085966, + 46389562 + ], + [ + 84634302, + 40996366 + ], + [ + 99895721, + 49901 + ], + [ + 39913773, + 60652941 + ], + [ + 36251101, + 12448002 + ], + [ + 97055842, + 37660896 + ], + [ + 53188497, + 95639655 + ], + [ + 50130310, + 90168602 + ], + [ + 94021876, + 47049630 + ], + [ + 84151774, + 81668579 + ], + [ + 62886096, + 71607308 + ], + [ + 17752777, + 4258057 + ], + [ + 81769217, + 29271118 + ], + [ + 26060445, + 36403762 + ], + [ + 26062434, + 45721032 + ], + [ + 71281320, + 13040974 + ], + [ + 39413481, + 91466388 + ], + [ + 11971305, + 37941073 + ], + [ + 10364555, + 21956260 + ], + [ + 61235057, + 51877995 + ], + [ + 2532964, + 85763779 + ], + [ + 26357049, + 36336327 + ], + [ + 59874800, + 81310633 + ], + [ + 57820294, + 3346753 + ], + [ + 65955458, + 82804202 + ], + [ + 27793974, + 87978944 + ], + [ + 92990846, + 58597460 + ], + [ + 35804380, + 71783333 + ], + [ + 98006055, + 42294948 + ], + [ + 82691216, + 63769495 + ], + [ + 39271534, + 82198526 + ], + [ + 5271964, + 22973440 + ], + [ + 10479403, + 5147068 + ], + [ + 83128489, + 93046476 + ], + [ + 16891214, + 49700707 + ], + [ + 57862929, + 84344805 + ], + [ + 49153599, + 82147660 + ], + [ + 13582264, + 46145198 + ], + [ + 27999566, + 26785267 + ], + [ + 12789066, + 35041746 + ], + [ + 2511761, + 61543013 + ], + [ + 72534878, + 36404334 + ], + [ + 15256674, + 32653083 + ], + [ + 11918025, + 44232319 + ], + [ + 3989491, + 92585233 + ], + [ + 84520261, + 84593179 + ], + [ + 37035208, + 42463889 + ], + [ + 24892748, + 67602680 + ], + [ + 46899161, + 66076383 + ], + [ + 33820167, + 11522653 + ], + [ + 87399904, + 17993372 + ], + [ + 69502582, + 87275626 + ], + [ + 4694065, + 9152441 + ], + [ + 49728053, + 6488262 + ], + [ + 7047168, + 5949144 + ], + [ + 12353029, + 75622214 + ], + [ + 50945617, + 47240443 + ], + [ + 93150052, + 98986577 + ], + [ + 61319948, + 66927975 + ], + [ + 8579655, + 47465806 + ], + [ + 59129266, + 58976218 + ], + [ + 54774552, + 66274216 + ], + [ + 85050380, + 97618832 + ], + [ + 5549809, + 96964257 + ], + [ + 83068171, + 8069619 + ], + [ + 76912909, + 8623384 + ], + [ + 66695050, + 62229637 + ], + [ + 54276453, + 26164299 + ], + [ + 95226219, + 24033510 + ], + [ + 88488003, + 15380313 + ], + [ + 36851267, + 98338063 + ], + [ + 20498342, + 32103393 + ], + [ + 96230667, + 514939 + ], + [ + 93584977, + 29368854 + ], + [ + 76410178, + 26108614 + ], + [ + 58802472, + 69501656 + ], + [ + 547742, + 32263828 + ], + [ + 36291637, + 47574454 + ], + [ + 195238, + 88902368 + ], + [ + 35255814, + 39036175 + ], + [ + 45196274, + 37722547 + ], + [ + 822262, + 13793990 + ], + [ + 59325409, + 66820479 + ], + [ + 67776736, + 37821304 + ], + [ + 43824629, + 22589474 + ], + [ + 90042849, + 10336916 + ], + [ + 34044037, + 6397095 + ], + [ + 54230745, + 35411877 + ], + [ + 21399272, + 20415346 + ], + [ + 67076447, + 33821769 + ], + [ + 25640621, + 64284540 + ], + [ + 99643207, + 5639833 + ], + [ + 79741824, + 74327902 + ], + [ + 9552126, + 90399 + ], + [ + 99382297, + 41243439 + ], + [ + 96925672, + 46582290 + ], + [ + 1257362, + 12665445 + ], + [ + 15283240, + 68926983 + ], + [ + 46926046, + 71085968 + ], + [ + 47134675, + 3212793 + ], + [ + 44344438, + 9120838 + ], + [ + 64473509, + 48156839 + ], + [ + 59075907, + 2664245 + ], + [ + 923262, + 59548627 + ], + [ + 67912673, + 26987759 + ], + [ + 74825912, + 31449189 + ], + [ + 37507854, + 35041029 + ], + [ + 41684770, + 83122110 + ], + [ + 49085815, + 49257746 + ], + [ + 71349248, + 99192281 + ], + [ + 13764863, + 24463800 + ], + [ + 1986708, + 29903546 + ], + [ + 55040872, + 12598608 + ], + [ + 23494460, + 36607529 + ], + [ + 83517928, + 96479182 + ], + [ + 8706711, + 57210072 + ], + [ + 73026105, + 87216892 + ], + [ + 67571341, + 49293210 + ], + [ + 70039156, + 48193802 + ], + [ + 9133916, + 56368737 + ], + [ + 224478, + 35552497 + ], + [ + 57661789, + 87411670 + ], + [ + 13159827, + 43464642 + ], + [ + 53960425, + 15062503 + ], + [ + 24920115, + 35220648 + ], + [ + 66396369, + 96893972 + ], + [ + 49781906, + 61806941 + ], + [ + 89502451, + 62294672 + ], + [ + 16966408, + 86764510 + ], + [ + 8610176, + 78680082 + ], + [ + 54391459, + 41835879 + ], + [ + 31097486, + 51061120 + ], + [ + 64168850, + 50046055 + ], + [ + 40476599, + 29883841 + ], + [ + 75768380, + 21263830 + ], + [ + 31032149, + 22481051 + ], + [ + 3557104, + 97630993 + ], + [ + 33087509, + 92045089 + ], + [ + 23669801, + 61950239 + ], + [ + 82200762, + 44934281 + ], + [ + 54786510, + 61380742 + ], + [ + 38063848, + 82018420 + ], + [ + 89054809, + 56087824 + ], + [ + 4582329, + 89809448 + ], + [ + 87217733, + 82765351 + ], + [ + 72777337, + 56242915 + ], + [ + 54189784, + 36410669 + ], + [ + 69554387, + 27119475 + ], + [ + 49601656, + 63276358 + ], + [ + 77395785, + 71669865 + ], + [ + 92470786, + 8406936 + ], + [ + 33421254, + 60156181 + ], + [ + 11494321, + 64838886 + ], + [ + 62321918, + 69828691 + ], + [ + 33908056, + 55683745 + ], + [ + 1310526, + 77292090 + ], + [ + 33345037, + 80535204 + ], + [ + 58464216, + 51223327 + ], + [ + 96895242, + 41005089 + ], + [ + 55282920, + 99968974 + ], + [ + 11887709, + 49160376 + ], + [ + 11794788, + 70986331 + ], + [ + 13226784, + 25609082 + ], + [ + 28290461, + 2829289 + ], + [ + 65662416, + 54772455 + ], + [ + 18603733, + 80145765 + ], + [ + 24055455, + 62398742 + ], + [ + 20638338, + 87039710 + ], + [ + 76884905, + 54680053 + ], + [ + 44748715, + 98164599 + ], + [ + 71324698, + 66773021 + ], + [ + 35242694, + 4563505 + ], + [ + 5659902, + 68596485 + ], + [ + 21264433, + 30984029 + ], + [ + 56964086, + 6346772 + ], + [ + 44402384, + 91253345 + ], + [ + 36466340, + 29663840 + ], + [ + 74956970, + 30457116 + ], + [ + 15920969, + 52764822 + ], + [ + 6973152, + 32679089 + ], + [ + 95581343, + 21534440 + ], + [ + 85681056, + 36181661 + ], + [ + 56997125, + 10843138 + ], + [ + 6133661, + 11792100 + ], + [ + 78101714, + 80278025 + ], + [ + 23554959, + 62229803 + ], + [ + 75395995, + 84203537 + ], + [ + 805406, + 4949156 + ], + [ + 26294328, + 51749587 + ], + [ + 76983120, + 76108242 + ], + [ + 35312326, + 86153668 + ], + [ + 44722166, + 11580494 + ], + [ + 27568758, + 8523798 + ], + [ + 67367084, + 9366603 + ], + [ + 75486167, + 64067890 + ], + [ + 50947177, + 86644701 + ], + [ + 31515819, + 99805912 + ], + [ + 730289, + 88388295 + ], + [ + 55393619, + 55284986 + ], + [ + 64238456, + 16986102 + ], + [ + 19997261, + 71659365 + ], + [ + 81476888, + 42905378 + ], + [ + 16223462, + 99665690 + ], + [ + 17243408, + 69942383 + ], + [ + 11662299, + 19299253 + ], + [ + 56341243, + 88653676 + ], + [ + 73576836, + 26179515 + ], + [ + 74332032, + 26378794 + ], + [ + 93352004, + 71919122 + ], + [ + 92931590, + 61054228 + ], + [ + 79949837, + 95474778 + ], + [ + 14987943, + 13204566 + ], + [ + 99747729, + 12944766 + ], + [ + 64572768, + 26268232 + ], + [ + 60227807, + 73082681 + ], + [ + 39558013, + 91475244 + ], + [ + 47574263, + 6457654 + ], + [ + 85380186, + 40236988 + ], + [ + 64197215, + 381739 + ], + [ + 56481015, + 88997767 + ], + [ + 23891716, + 52403778 + ], + [ + 96234312, + 21597129 + ], + [ + 86652321, + 75578934 + ], + [ + 43122960, + 29975891 + ], + [ + 89234535, + 43552960 + ], + [ + 9511483, + 90363983 + ], + [ + 36601386, + 51287556 + ], + [ + 63141775, + 54813150 + ], + [ + 10002061, + 8952071 + ], + [ + 20933305, + 64744044 + ], + [ + 172362, + 95211580 + ], + [ + 36844345, + 44568710 + ], + [ + 18548445, + 80777520 + ], + [ + 91628493, + 31949502 + ], + [ + 9614884, + 45963045 + ], + [ + 17796377, + 53988836 + ], + [ + 55564697, + 23973491 + ], + [ + 68779032, + 13383402 + ], + [ + 22371087, + 84879739 + ], + [ + 98642635, + 5794152 + ], + [ + 87254497, + 14346466 + ], + [ + 37865646, + 315068 + ], + [ + 70262538, + 5522952 + ], + [ + 9335100, + 47907283 + ], + [ + 73239765, + 9324699 + ], + [ + 1403829, + 87968213 + ], + [ + 31265382, + 76030457 + ], + [ + 19290333, + 31261096 + ], + [ + 7207749, + 51347768 + ], + [ + 82739208, + 19359501 + ], + [ + 50349917, + 51678643 + ], + [ + 80475543, + 2708926 + ], + [ + 6250251, + 98028144 + ], + [ + 61940094, + 79170278 + ], + [ + 17321638, + 13400861 + ], + [ + 64851482, + 2454806 + ], + [ + 40586015, + 1280235 + ], + [ + 81786560, + 12954418 + ], + [ + 13101748, + 41695621 + ], + [ + 71430268, + 81901234 + ], + [ + 40960756, + 84122114 + ], + [ + 4973301, + 84164912 + ], + [ + 71160921, + 30590767 + ], + [ + 6119431, + 68565008 + ], + [ + 31132531, + 43745911 + ], + [ + 44179755, + 99735965 + ], + [ + 99637081, + 94476726 + ], + [ + 58432549, + 32368382 + ], + [ + 77662944, + 20362583 + ], + [ + 53953313, + 61690533 + ], + [ + 96191501, + 67621052 + ], + [ + 20954750, + 12559153 + ], + [ + 23923502, + 64064623 + ], + [ + 43220612, + 90564378 + ], + [ + 76529510, + 78042792 + ], + [ + 33330320, + 78217164 + ], + [ + 38073737, + 14460642 + ], + [ + 83289158, + 84750078 + ], + [ + 67497808, + 54667905 + ], + [ + 22160231, + 93658389 + ], + [ + 57809636, + 31069934 + ], + [ + 26776991, + 97546865 + ], + [ + 55447746, + 44311363 + ], + [ + 8275804, + 50779040 + ], + [ + 73558979, + 89411506 + ], + [ + 61512380, + 15448412 + ], + [ + 10879118, + 89405280 + ], + [ + 53451414, + 70447224 + ], + [ + 69301957, + 50147631 + ], + [ + 74912593, + 50718764 + ], + [ + 24287446, + 90399202 + ], + [ + 86822546, + 1147347 + ], + [ + 58672281, + 48730357 + ], + [ + 49732101, + 44095963 + ], + [ + 15375442, + 95651166 + ], + [ + 25386602, + 27641495 + ], + [ + 2521387, + 60097375 + ], + [ + 63758561, + 58594149 + ], + [ + 55108058, + 26919549 + ], + [ + 87169732, + 26711757 + ], + [ + 87377258, + 110943 + ], + [ + 90588646, + 81556523 + ], + [ + 56771585, + 60927071 + ], + [ + 19481546, + 3724110 + ], + [ + 89054000, + 13644850 + ], + [ + 18319354, + 97317321 + ], + [ + 81173064, + 76059746 + ], + [ + 35630421, + 11732941 + ], + [ + 6151029, + 92603423 + ], + [ + 92594188, + 66485187 + ], + [ + 24631346, + 83312186 + ], + [ + 77240397, + 64559702 + ], + [ + 21627572, + 43667149 + ], + [ + 34198746, + 53671270 + ], + [ + 16169606, + 60969108 + ], + [ + 65453613, + 66960784 + ], + [ + 78922806, + 21959554 + ], + [ + 91266175, + 62713081 + ], + [ + 1119247, + 74536191 + ], + [ + 71452534, + 86363049 + ], + [ + 25473185, + 25258129 + ], + [ + 35539264, + 34725432 + ], + [ + 50708381, + 30228363 + ], + [ + 23910771, + 96015728 + ], + [ + 98273378, + 98704299 + ], + [ + 60803227, + 97563336 + ], + [ + 10274496, + 3525175 + ], + [ + 16126941, + 10659345 + ], + [ + 38269771, + 32520476 + ], + [ + 34567916, + 66092281 + ], + [ + 73182105, + 43448523 + ], + [ + 75047340, + 89153789 + ], + [ + 56288192, + 23725213 + ], + [ + 57867119, + 5928890 + ], + [ + 78237318, + 35220721 + ], + [ + 12663583, + 11920064 + ], + [ + 70051975, + 90732430 + ], + [ + 39312403, + 68215268 + ], + [ + 29313275, + 26133530 + ], + [ + 15039261, + 20843293 + ], + [ + 28025954, + 14537333 + ], + [ + 49747650, + 50899179 + ], + [ + 62105736, + 17802758 + ], + [ + 76846078, + 28748833 + ], + [ + 59804830, + 12105333 + ], + [ + 55198801, + 72748801 + ], + [ + 94391466, + 16350620 + ], + [ + 11792928, + 22394278 + ], + [ + 11692269, + 38577326 + ], + [ + 53389244, + 62584264 + ], + [ + 1047419, + 62217277 + ], + [ + 34741340, + 28302063 + ], + [ + 19943496, + 79876643 + ], + [ + 38239501, + 43431991 + ], + [ + 82026933, + 23169526 + ], + [ + 44804733, + 99246328 + ], + [ + 96053933, + 68727549 + ], + [ + 91341624, + 4345672 + ], + [ + 30609632, + 7699390 + ], + [ + 24409200, + 32136514 + ], + [ + 29457332, + 23104624 + ], + [ + 68060855, + 59280587 + ], + [ + 20153765, + 30283286 + ], + [ + 90564066, + 40381299 + ], + [ + 60347526, + 7979664 + ], + [ + 5409518, + 52183149 + ], + [ + 53270779, + 85682 + ], + [ + 91975379, + 45519779 + ], + [ + 65547406, + 47910751 + ], + [ + 88827643, + 61375454 + ], + [ + 55827622, + 98544644 + ], + [ + 67097183, + 98384839 + ], + [ + 71902811, + 28155849 + ], + [ + 93182494, + 4809899 + ], + [ + 65747902, + 18280458 + ], + [ + 26784643, + 76857948 + ], + [ + 39018441, + 973955 + ], + [ + 97990631, + 10683608 + ], + [ + 22642110, + 89874990 + ], + [ + 79414758, + 7888826 + ], + [ + 51448800, + 42522060 + ], + [ + 32715792, + 51295405 + ], + [ + 49725403, + 57377869 + ], + [ + 30459545, + 85151419 + ], + [ + 22528999, + 13790204 + ], + [ + 19700207, + 49801575 + ], + [ + 7097121, + 69678395 + ], + [ + 19970932, + 29869139 + ], + [ + 631526, + 88753172 + ], + [ + 30158651, + 76443826 + ], + [ + 83315791, + 38055925 + ], + [ + 31189907, + 89842365 + ], + [ + 36707034, + 90406679 + ], + [ + 59713787, + 62068040 + ], + [ + 36139878, + 15054084 + ], + [ + 92231350, + 30629507 + ], + [ + 11816444, + 69374901 + ], + [ + 84252242, + 78683144 + ], + [ + 57511035, + 47267534 + ], + [ + 8942559, + 24178616 + ], + [ + 171111, + 56568915 + ], + [ + 6302631, + 95817596 + ], + [ + 75893705, + 25938759 + ], + [ + 95892638, + 81693812 + ], + [ + 81966216, + 39244591 + ], + [ + 76765472, + 86068175 + ], + [ + 25284599, + 659931 + ], + [ + 54285532, + 70438953 + ], + [ + 5598481, + 81803699 + ], + [ + 83613647, + 93499074 + ], + [ + 71345201, + 78913692 + ], + [ + 8514391, + 40746774 + ], + [ + 18929976, + 88607960 + ], + [ + 38655063, + 26980053 + ], + [ + 42330217, + 28628770 + ], + [ + 80938002, + 2232900 + ], + [ + 12957025, + 13226617 + ], + [ + 94844840, + 50860243 + ], + [ + 98225884, + 55775709 + ], + [ + 49640606, + 50306343 + ], + [ + 80281396, + 45951714 + ], + [ + 99648599, + 24940347 + ], + [ + 68607062, + 6755464 + ], + [ + 51098411, + 67552086 + ], + [ + 6813940, + 49497338 + ], + [ + 97262203, + 5318873 + ], + [ + 5258695, + 46180101 + ], + [ + 19520097, + 63661040 + ], + [ + 79171345, + 96327195 + ], + [ + 21707856, + 93347350 + ], + [ + 5723428, + 77342526 + ], + [ + 56081208, + 68406835 + ], + [ + 56581763, + 78083924 + ], + [ + 53188262, + 98173316 + ], + [ + 61536408, + 47905725 + ], + [ + 82883377, + 61192125 + ], + [ + 85312981, + 44926645 + ], + [ + 20016224, + 25660781 + ], + [ + 23327512, + 6225599 + ], + [ + 69187385, + 44039034 + ], + [ + 94472806, + 91443 + ], + [ + 74506522, + 22761511 + ], + [ + 9119085, + 29689170 + ], + [ + 32959899, + 11944293 + ], + [ + 64253175, + 64696014 + ], + [ + 44307653, + 74278699 + ], + [ + 72495334, + 68251451 + ], + [ + 80527157, + 49755766 + ], + [ + 38305236, + 18985772 + ], + [ + 93273437, + 47440212 + ], + [ + 70741745, + 18108968 + ], + [ + 26919068, + 70833913 + ], + [ + 20881576, + 76525519 + ], + [ + 34684046, + 37927970 + ], + [ + 95181940, + 98830720 + ], + [ + 71676323, + 26349733 + ], + [ + 94298161, + 13454351 + ], + [ + 55425446, + 23060627 + ], + [ + 2698102, + 21491839 + ], + [ + 22904787, + 35996524 + ], + [ + 75392482, + 38892049 + ], + [ + 73889849, + 57253853 + ], + [ + 40347226, + 44004713 + ], + [ + 278889, + 79971053 + ], + [ + 25770824, + 4876228 + ], + [ + 58139601, + 22055819 + ], + [ + 23189412, + 67117580 + ], + [ + 63549144, + 90796988 + ], + [ + 50026120, + 53915702 + ], + [ + 57108655, + 68766577 + ], + [ + 21505239, + 62535560 + ], + [ + 42740802, + 46547787 + ], + [ + 58572721, + 11681929 + ], + [ + 46081642, + 25901707 + ], + [ + 81646283, + 58788857 + ], + [ + 27041437, + 90727736 + ], + [ + 93393913, + 20344944 + ], + [ + 85054754, + 17915127 + ], + [ + 45857699, + 77271720 + ], + [ + 26566447, + 90334443 + ], + [ + 32593866, + 33813775 + ], + [ + 94333001, + 98565849 + ], + [ + 23667800, + 10462878 + ], + [ + 9885744, + 5470658 + ], + [ + 1454289, + 72379946 + ], + [ + 12005535, + 72148998 + ], + [ + 86505033, + 64331313 + ], + [ + 14148586, + 77831883 + ], + [ + 64428570, + 15907016 + ], + [ + 6998083, + 42994879 + ], + [ + 85861299, + 94777795 + ], + [ + 53624809, + 54128683 + ], + [ + 19242833, + 13289952 + ], + [ + 67923057, + 18169346 + ], + [ + 78461094, + 11619625 + ], + [ + 44000762, + 56978162 + ], + [ + 26125063, + 5150930 + ], + [ + 50346957, + 67607169 + ], + [ + 9501394, + 12513521 + ], + [ + 31973821, + 95180064 + ], + [ + 98744201, + 61243317 + ], + [ + 46466495, + 75597052 + ], + [ + 81311342, + 44400188 + ], + [ + 48512392, + 42071938 + ], + [ + 76900587, + 18156899 + ], + [ + 46146560, + 81886015 + ], + [ + 77551733, + 70210209 + ], + [ + 98201655, + 78636813 + ], + [ + 77768363, + 48523146 + ], + [ + 42090187, + 61033678 + ], + [ + 79638210, + 88147686 + ], + [ + 75267611, + 86138646 + ], + [ + 44173549, + 24180171 + ], + [ + 47499276, + 47481638 + ], + [ + 12522081, + 88841694 + ], + [ + 74039925, + 52673479 + ], + [ + 61339601, + 72047395 + ], + [ + 95435347, + 56531829 + ], + [ + 60008513, + 49324630 + ], + [ + 77733420, + 80754515 + ], + [ + 41978438, + 55163381 + ], + [ + 79963373, + 96200586 + ], + [ + 54902250, + 34721035 + ], + [ + 85715490, + 8496665 + ], + [ + 84516984, + 26726261 + ], + [ + 42289597, + 22948254 + ], + [ + 58876359, + 66414877 + ], + [ + 46380337, + 18886652 + ], + [ + 53021024, + 73271310 + ], + [ + 34321133, + 88419925 + ], + [ + 67456221, + 13359916 + ], + [ + 6890680, + 44524001 + ], + [ + 29921095, + 35960308 + ], + [ + 99308792, + 39062961 + ], + [ + 94795988, + 4470562 + ], + [ + 57219046, + 55676222 + ], + [ + 8206009, + 25940015 + ], + [ + 88971028, + 6400387 + ], + [ + 12330544, + 67218780 + ], + [ + 91590640, + 39661866 + ], + [ + 29967565, + 6131567 + ], + [ + 15037034, + 9000825 + ], + [ + 15459939, + 97366059 + ], + [ + 64789024, + 35510188 + ], + [ + 62859416, + 88929370 + ], + [ + 46300410, + 24979018 + ], + [ + 50115820, + 63316403 + ], + [ + 90235011, + 21697898 + ], + [ + 87933824, + 12563400 + ], + [ + 33812870, + 8907193 + ], + [ + 41513408, + 56806424 + ], + [ + 9600898, + 49695738 + ], + [ + 5105258, + 10613536 + ], + [ + 124478, + 97098553 + ], + [ + 15076261, + 6112326 + ], + [ + 78706990, + 98175927 + ], + [ + 58446707, + 19022036 + ], + [ + 88761756, + 17739942 + ], + [ + 43583589, + 98511754 + ], + [ + 85350318, + 67189028 + ], + [ + 28324894, + 40276816 + ], + [ + 25085719, + 42051248 + ], + [ + 34016430, + 5463561 + ], + [ + 71659144, + 70511110 + ], + [ + 37978153, + 99665122 + ], + [ + 61179321, + 54511137 + ], + [ + 83011405, + 89807015 + ], + [ + 78381502, + 95990096 + ], + [ + 79583370, + 23823050 + ], + [ + 67039334, + 35721065 + ], + [ + 75206615, + 43428456 + ], + [ + 90898523, + 98283021 + ], + [ + 20349818, + 33053187 + ], + [ + 92119712, + 33807275 + ], + [ + 24575615, + 8718583 + ], + [ + 10677761, + 17199452 + ], + [ + 29318252, + 307001 + ], + [ + 88323506, + 55508678 + ], + [ + 18064691, + 29602185 + ], + [ + 54688437, + 81137141 + ], + [ + 29423844, + 66470362 + ], + [ + 68596959, + 78042837 + ], + [ + 89187355, + 94775061 + ], + [ + 99326959, + 49614430 + ], + [ + 77676016, + 31890729 + ], + [ + 41788263, + 26788969 + ], + [ + 63703612, + 50362195 + ], + [ + 78495360, + 46268231 + ], + [ + 72133634, + 82221523 + ], + [ + 21832903, + 81366352 + ], + [ + 80645084, + 81486162 + ], + [ + 86411900, + 71875197 + ], + [ + 89126577, + 77848651 + ], + [ + 20037560, + 24246377 + ], + [ + 73619378, + 6686955 + ], + [ + 50851313, + 11544235 + ], + [ + 73522271, + 26083333 + ], + [ + 56028340, + 17685276 + ], + [ + 53070180, + 85706489 + ], + [ + 98054136, + 99579006 + ], + [ + 37421658, + 60154019 + ], + [ + 65857097, + 67252659 + ], + [ + 77328241, + 960108 + ], + [ + 5833548, + 48986574 + ], + [ + 35198788, + 2000666 + ], + [ + 16418924, + 84128890 + ], + [ + 48400386, + 93094414 + ], + [ + 50035505, + 71842288 + ], + [ + 94496938, + 57437162 + ], + [ + 41912958, + 86939066 + ], + [ + 6913602, + 72247465 + ], + [ + 56391673, + 68375093 + ], + [ + 99118206, + 80529319 + ], + [ + 84092221, + 34576723 + ], + [ + 25224096, + 91647056 + ], + [ + 7383897, + 41672625 + ], + [ + 51731977, + 67934132 + ], + [ + 94507400, + 41936241 + ], + [ + 94338371, + 17993124 + ], + [ + 96470278, + 14411329 + ], + [ + 3388431, + 86997161 + ], + [ + 12029841, + 95665797 + ], + [ + 13552115, + 851611 + ], + [ + 58288560, + 11736663 + ], + [ + 48044699, + 41517531 + ], + [ + 63183503, + 689297 + ], + [ + 31127534, + 29549743 + ], + [ + 45935701, + 40251844 + ], + [ + 66283590, + 47622931 + ], + [ + 52703032, + 40692785 + ], + [ + 27240483, + 45883295 + ], + [ + 73766176, + 76340620 + ], + [ + 47164788, + 27859031 + ], + [ + 5658201, + 19905472 + ], + [ + 62240729, + 54018887 + ], + [ + 31750181, + 2894922 + ], + [ + 39437325, + 50514289 + ], + [ + 36137234, + 43045584 + ], + [ + 26152443, + 63490528 + ], + [ + 3684156, + 21853738 + ], + [ + 73605180, + 64589782 + ], + [ + 76391649, + 70938682 + ], + [ + 90585570, + 3945653 + ], + [ + 37452418, + 80208944 + ], + [ + 75770781, + 89685854 + ], + [ + 17800627, + 93140545 + ], + [ + 46261674, + 2692739 + ], + [ + 51865157, + 66479818 + ], + [ + 63957662, + 27748862 + ], + [ + 39594630, + 10377672 + ], + [ + 85441127, + 39583289 + ], + [ + 47230128, + 74450336 + ], + [ + 46529708, + 25356406 + ], + [ + 13049930, + 708428 + ], + [ + 73111892, + 26009027 + ], + [ + 2393665, + 80365046 + ], + [ + 80332088, + 55810744 + ], + [ + 20071642, + 611976 + ], + [ + 44759097, + 29853803 + ], + [ + 20188177, + 94883754 + ], + [ + 27964058, + 93375082 + ], + [ + 82919390, + 84847442 + ], + [ + 7111322, + 90423070 + ], + [ + 99082672, + 33060824 + ], + [ + 56438701, + 12320535 + ], + [ + 10277814, + 88902212 + ], + [ + 86050306, + 48111842 + ], + [ + 96198005, + 72998148 + ], + [ + 23982158, + 33874862 + ], + [ + 24425832, + 13987413 + ], + [ + 18389193, + 71079081 + ], + [ + 92815794, + 51567040 + ], + [ + 33441978, + 45981076 + ], + [ + 14330545, + 15979596 + ], + [ + 29631847, + 97876224 + ], + [ + 11720460, + 42253589 + ], + [ + 8927127, + 61367482 + ], + [ + 54100486, + 80132330 + ], + [ + 11726561, + 77412596 + ], + [ + 66676127, + 81976451 + ], + [ + 57125278, + 11736421 + ], + [ + 1731451, + 62687311 + ], + [ + 57666574, + 96491246 + ], + [ + 1320853, + 42631975 + ], + [ + 92977094, + 13312515 + ], + [ + 19456148, + 56095623 + ], + [ + 37812310, + 7221008 + ], + [ + 77604819, + 5344207 + ], + [ + 52141850, + 79140551 + ], + [ + 4048332, + 36776995 + ], + [ + 32044916, + 65155426 + ], + [ + 73876106, + 39881483 + ], + [ + 61105405, + 95179842 + ], + [ + 94311173, + 19865507 + ], + [ + 20465947, + 33332778 + ], + [ + 3005256, + 17527969 + ], + [ + 69086307, + 96696090 + ], + [ + 63214225, + 74949264 + ], + [ + 16638247, + 54595896 + ], + [ + 76593, + 25617997 + ], + [ + 75356816, + 72645318 + ], + [ + 76891447, + 55522908 + ], + [ + 38045499, + 99146527 + ], + [ + 40151824, + 47457655 + ], + [ + 14480497, + 89820386 + ], + [ + 5291349, + 678927 + ], + [ + 71634409, + 16988107 + ], + [ + 52870756, + 68970876 + ], + [ + 38097426, + 95665763 + ], + [ + 85631517, + 22525376 + ], + [ + 95143951, + 96848195 + ], + [ + 98619096, + 53913250 + ], + [ + 26523033, + 94580403 + ], + [ + 85112136, + 56288249 + ], + [ + 62712400, + 17152052 + ], + [ + 63825257, + 99164236 + ], + [ + 7466915, + 63229787 + ], + [ + 72469158, + 33640991 + ], + [ + 2587697, + 77191532 + ], + [ + 60606446, + 92080475 + ], + [ + 52731107, + 67434655 + ], + [ + 69733853, + 92238858 + ], + [ + 17430290, + 34912895 + ], + [ + 64363628, + 73705150 + ], + [ + 38019792, + 27520253 + ], + [ + 86032899, + 19045775 + ], + [ + 74191738, + 70960694 + ], + [ + 67568432, + 20533371 + ], + [ + 23539280, + 3496830 + ], + [ + 73637547, + 12873462 + ], + [ + 86222231, + 96442001 + ], + [ + 36054376, + 49712264 + ], + [ + 94159868, + 28691704 + ], + [ + 12310134, + 17856851 + ], + [ + 83288970, + 38013782 + ], + [ + 88373274, + 19778492 + ], + [ + 15192459, + 33015070 + ], + [ + 1922045, + 63151014 + ], + [ + 80169029, + 76790478 + ], + [ + 1694289, + 23588915 + ], + [ + 82272063, + 99320509 + ], + [ + 46076897, + 2301428 + ], + [ + 52449479, + 95865916 + ], + [ + 47234261, + 51942054 + ], + [ + 62158103, + 32358503 + ], + [ + 22295318, + 62939142 + ], + [ + 8318815, + 20454174 + ], + [ + 55761143, + 81197162 + ], + [ + 90953793, + 88796549 + ], + [ + 66853744, + 94401518 + ], + [ + 87733911, + 78482566 + ], + [ + 40482047, + 2194203 + ], + [ + 47286041, + 31760577 + ], + [ + 83942797, + 81648897 + ], + [ + 41268995, + 20133879 + ], + [ + 89054401, + 10067741 + ], + [ + 72160592, + 6833244 + ], + [ + 78391992, + 42414580 + ], + [ + 659044, + 83304442 + ], + [ + 93276810, + 42449906 + ], + [ + 70083084, + 78880239 + ], + [ + 84056423, + 55774910 + ], + [ + 29394159, + 61292186 + ], + [ + 10260857, + 58797364 + ], + [ + 13693999, + 27666541 + ], + [ + 66231126, + 20091634 + ], + [ + 3381249, + 81755383 + ], + [ + 48631005, + 47587562 + ], + [ + 62186037, + 49866137 + ], + [ + 69240393, + 13419345 + ], + [ + 40166894, + 98391753 + ], + [ + 99935762, + 2685849 + ], + [ + 53069651, + 41869162 + ], + [ + 44187303, + 12091880 + ], + [ + 94837124, + 6589733 + ], + [ + 43792521, + 86842061 + ], + [ + 64972366, + 20890012 + ], + [ + 35559740, + 40903928 + ], + [ + 2132338, + 44212380 + ], + [ + 62018330, + 5138019 + ], + [ + 45373976, + 65747095 + ], + [ + 78660705, + 22946514 + ], + [ + 26843326, + 1592268 + ], + [ + 41370483, + 97742029 + ], + [ + 34029065, + 91729676 + ], + [ + 91235462, + 13890960 + ], + [ + 82190929, + 49867562 + ], + [ + 86428187, + 95080784 + ], + [ + 2435235, + 55743078 + ], + [ + 91391231, + 17139735 + ], + [ + 34616803, + 91164215 + ], + [ + 94899979, + 44524287 + ], + [ + 6602678, + 42334852 + ], + [ + 63492861, + 21619 + ], + [ + 39403308, + 90458171 + ], + [ + 80923805, + 74694727 + ], + [ + 56518549, + 53198907 + ], + [ + 27670930, + 32914089 + ], + [ + 47694982, + 54407334 + ], + [ + 42196244, + 26767788 + ], + [ + 3509186, + 9749721 + ], + [ + 30300487, + 47697687 + ], + [ + 62969258, + 39218298 + ], + [ + 31483664, + 76730050 + ], + [ + 32982676, + 48492896 + ], + [ + 18933713, + 7287290 + ], + [ + 16903591, + 55266140 + ], + [ + 57712583, + 12948736 + ], + [ + 26460894, + 18442202 + ], + [ + 45723910, + 74863691 + ], + [ + 86575538, + 78449432 + ], + [ + 13988786, + 29526259 + ], + [ + 46354335, + 47201173 + ], + [ + 44402684, + 91476527 + ], + [ + 56606138, + 8013732 + ], + [ + 84168430, + 38730271 + ], + [ + 49766640, + 45746440 + ], + [ + 91941850, + 33765218 + ], + [ + 76412222, + 98574549 + ], + [ + 73308784, + 96132261 + ], + [ + 10731961, + 68068536 + ], + [ + 1108541, + 8497467 + ], + [ + 7546623, + 53291275 + ], + [ + 3011661, + 52747707 + ], + [ + 3764794, + 91003744 + ], + [ + 3152783, + 41893593 + ], + [ + 616986, + 28803095 + ], + [ + 40634200, + 84012032 + ], + [ + 39225788, + 98881890 + ], + [ + 79961712, + 8330143 + ], + [ + 19986921, + 65293609 + ], + [ + 24554787, + 34434973 + ], + [ + 6837755, + 19496464 + ], + [ + 93106918, + 80360770 + ], + [ + 43090593, + 51950991 + ], + [ + 17594036, + 38666518 + ], + [ + 14558196, + 25165063 + ], + [ + 33037292, + 44009784 + ], + [ + 13998630, + 84716070 + ], + [ + 21750545, + 91145854 + ], + [ + 24628864, + 16557370 + ], + [ + 7117486, + 40142502 + ], + [ + 56200108, + 82178218 + ], + [ + 45501841, + 46339253 + ], + [ + 18700383, + 55891777 + ], + [ + 76205764, + 62904203 + ], + [ + 86670634, + 33105259 + ], + [ + 35764632, + 40431049 + ], + [ + 23913149, + 68967170 + ], + [ + 54694698, + 13470869 + ], + [ + 38864575, + 25024844 + ], + [ + 80322244, + 94634810 + ], + [ + 7159380, + 10507553 + ], + [ + 14443395, + 86139067 + ], + [ + 61271111, + 62006073 + ], + [ + 79029504, + 70220069 + ], + [ + 59063453, + 18241737 + ], + [ + 94024510, + 45453919 + ], + [ + 38642033, + 50553865 + ], + [ + 27407209, + 55740566 + ], + [ + 92299513, + 70998254 + ], + [ + 88689702, + 45744181 + ], + [ + 50141528, + 90617505 + ], + [ + 23702967, + 49812052 + ], + [ + 69200786, + 82344569 + ], + [ + 91137007, + 88505918 + ], + [ + 6717229, + 40923820 + ], + [ + 91129136, + 18349637 + ], + [ + 57427755, + 69257551 + ], + [ + 5071676, + 76246720 + ], + [ + 87265390, + 52254276 + ], + [ + 43311791, + 28827286 + ], + [ + 52137942, + 7907425 + ], + [ + 46156309, + 43863762 + ], + [ + 25179932, + 55499019 + ], + [ + 21824957, + 43162632 + ], + [ + 28804842, + 71570357 + ], + [ + 42512539, + 31446665 + ], + [ + 3119499, + 64477525 + ], + [ + 69019607, + 78434112 + ], + [ + 70116733, + 43762161 + ], + [ + 10390670, + 43511942 + ], + [ + 62568059, + 44199901 + ], + [ + 96533353, + 93189587 + ], + [ + 97369883, + 90596823 + ], + [ + 54488039, + 78200965 + ], + [ + 14103058, + 7262209 + ], + [ + 15080041, + 51355103 + ], + [ + 97272591, + 65356703 + ], + [ + 88027419, + 74967513 + ], + [ + 89668305, + 83104984 + ], + [ + 44916026, + 60240412 + ], + [ + 49840527, + 86282954 + ], + [ + 17172219, + 33459615 + ], + [ + 69416727, + 29177169 + ], + [ + 22311908, + 72877247 + ], + [ + 3112126, + 41833085 + ], + [ + 98981576, + 70710598 + ], + [ + 71264566, + 47547382 + ], + [ + 97564078, + 99903248 + ], + [ + 12309692, + 64670460 + ], + [ + 97184109, + 75959793 + ], + [ + 14734148, + 75646527 + ], + [ + 8891970, + 49724243 + ], + [ + 15980751, + 28962645 + ], + [ + 13153288, + 31842827 + ], + [ + 25394693, + 11955707 + ], + [ + 24704954, + 80377461 + ], + [ + 23523948, + 6809427 + ], + [ + 3442249, + 13675201 + ], + [ + 21349124, + 29814754 + ], + [ + 53652165, + 89735776 + ], + [ + 8076850, + 41283735 + ], + [ + 76887619, + 349569 + ], + [ + 75459273, + 3137667 + ], + [ + 18187776, + 18490658 + ], + [ + 64322074, + 11089264 + ], + [ + 43198645, + 65728239 + ], + [ + 7404930, + 68060331 + ], + [ + 39937732, + 43754469 + ], + [ + 81162537, + 6024701 + ], + [ + 52490571, + 79418947 + ], + [ + 33129290, + 37800312 + ], + [ + 99410806, + 12966186 + ], + [ + 67011522, + 62052916 + ], + [ + 58285366, + 32444635 + ], + [ + 63472534, + 1974315 + ], + [ + 14570535, + 66595822 + ], + [ + 35043545, + 34968848 + ], + [ + 22279431, + 51280161 + ], + [ + 8833625, + 76837535 + ], + [ + 77178735, + 32609967 + ], + [ + 32420754, + 62440428 + ], + [ + 12011657, + 69816532 + ], + [ + 46446324, + 99576006 + ], + [ + 58146356, + 70674095 + ], + [ + 78521308, + 74060756 + ], + [ + 83648003, + 39795794 + ], + [ + 57741759, + 80502734 + ], + [ + 60925442, + 69733331 + ], + [ + 75966029, + 62439291 + ], + [ + 93120066, + 40391192 + ], + [ + 13004695, + 70543539 + ], + [ + 86904354, + 61995295 + ], + [ + 46686239, + 57615205 + ], + [ + 66958344, + 46047636 + ], + [ + 54718466, + 30476677 + ], + [ + 1536389, + 42650503 + ], + [ + 49641653, + 14366660 + ], + [ + 13030481, + 63151489 + ], + [ + 34362277, + 17942645 + ], + [ + 69762051, + 50987265 + ], + [ + 23782685, + 35682179 + ], + [ + 45574625, + 19006385 + ], + [ + 33982624, + 34548629 + ], + [ + 8027425, + 50592085 + ], + [ + 62756898, + 98406049 + ], + [ + 6524948, + 57192499 + ], + [ + 60289826, + 23594121 + ], + [ + 19218314, + 75607172 + ], + [ + 41159084, + 37444472 + ], + [ + 10774533, + 83138268 + ], + [ + 33739467, + 5277342 + ], + [ + 36352240, + 11171510 + ], + [ + 35304731, + 49303984 + ], + [ + 59275755, + 17036692 + ], + [ + 80820438, + 16269436 + ], + [ + 60481001, + 85550798 + ], + [ + 26688285, + 37407747 + ], + [ + 74117344, + 65121751 + ], + [ + 21025498, + 70439018 + ], + [ + 28959046, + 3615103 + ], + [ + 20566417, + 61295175 + ], + [ + 50855848, + 98486170 + ], + [ + 86567646, + 65587685 + ], + [ + 62135383, + 88489179 + ], + [ + 68726621, + 74180226 + ], + [ + 80493973, + 8888799 + ], + [ + 38083250, + 56256770 + ], + [ + 37867330, + 88401122 + ], + [ + 44043981, + 11092862 + ], + [ + 88764488, + 79971556 + ], + [ + 23494216, + 32865576 + ], + [ + 98390180, + 94241306 + ], + [ + 29818749, + 46081032 + ], + [ + 67271609, + 37705842 + ], + [ + 64138532, + 63645653 + ], + [ + 76199549, + 21412891 + ], + [ + 63964604, + 23751154 + ], + [ + 81018622, + 37099457 + ], + [ + 56956624, + 3304586 + ], + [ + 5546762, + 86748542 + ], + [ + 19679344, + 98836906 + ], + [ + 41503833, + 93741094 + ], + [ + 89153286, + 8077895 + ], + [ + 31580066, + 60124458 + ], + [ + 39508497, + 19600770 + ], + [ + 47486576, + 28444135 + ], + [ + 16785016, + 73393739 + ], + [ + 62026971, + 62003373 + ], + [ + 14307503, + 30343842 + ], + [ + 86159372, + 38656825 + ], + [ + 51078451, + 24280114 + ], + [ + 43061486, + 51484201 + ], + [ + 58949766, + 54976074 + ], + [ + 87504269, + 89772856 + ], + [ + 96722067, + 83350682 + ], + [ + 17887276, + 74578917 + ], + [ + 77498890, + 91271737 + ], + [ + 48045393, + 50953240 + ], + [ + 13326073, + 27496681 + ], + [ + 78504143, + 22221198 + ], + [ + 83495125, + 5293082 + ], + [ + 57986830, + 63895887 + ], + [ + 4313978, + 30885115 + ], + [ + 50844465, + 55032076 + ], + [ + 20769186, + 39942764 + ], + [ + 83708782, + 47280987 + ], + [ + 79263644, + 47534179 + ], + [ + 40274542, + 98707147 + ], + [ + 38043328, + 366971 + ], + [ + 62421408, + 15021623 + ], + [ + 51337948, + 97113707 + ], + [ + 155603, + 14535312 + ], + [ + 48019923, + 97562349 + ], + [ + 35207495, + 59057197 + ], + [ + 64197681, + 68179662 + ], + [ + 72035837, + 84875769 + ], + [ + 59769311, + 58896065 + ], + [ + 56572925, + 90936438 + ], + [ + 59841997, + 89633470 + ], + [ + 64350735, + 69493610 + ], + [ + 29249791, + 7499662 + ], + [ + 26338737, + 5768982 + ], + [ + 47927026, + 10338841 + ], + [ + 39872641, + 27422229 + ], + [ + 60956114, + 43062656 + ], + [ + 34059242, + 3814691 + ], + [ + 28072793, + 93209163 + ], + [ + 93998691, + 92015779 + ], + [ + 29510162, + 97560523 + ], + [ + 34883363, + 8826624 + ], + [ + 84872463, + 47447959 + ], + [ + 65216202, + 32400830 + ], + [ + 22733420, + 24721049 + ], + [ + 68341634, + 197369 + ], + [ + 36614383, + 94316506 + ], + [ + 23031324, + 56100492 + ], + [ + 49239452, + 4539352 + ], + [ + 76259051, + 36766262 + ], + [ + 21844295, + 69143842 + ], + [ + 92297599, + 49584459 + ], + [ + 13140298, + 37925861 + ], + [ + 95570136, + 84120588 + ], + [ + 6370206, + 60584645 + ], + [ + 26275656, + 74755317 + ], + [ + 8527062, + 69452870 + ], + [ + 34356276, + 88854434 + ], + [ + 90734422, + 56505594 + ], + [ + 54645193, + 81783638 + ], + [ + 81824801, + 19565136 + ], + [ + 88717641, + 26625331 + ], + [ + 74403656, + 77706226 + ], + [ + 22974262, + 77561762 + ], + [ + 92845552, + 17620665 + ], + [ + 83896265, + 94139306 + ], + [ + 44486684, + 71897375 + ], + [ + 70950714, + 99333286 + ], + [ + 1396617, + 10709078 + ], + [ + 38214511, + 6599583 + ], + [ + 18697889, + 51365758 + ], + [ + 96155583, + 87219588 + ], + [ + 84624026, + 56865384 + ], + [ + 95786083, + 17966396 + ], + [ + 63070849, + 64227005 + ], + [ + 86368231, + 76501915 + ], + [ + 416129, + 11238032 + ], + [ + 31495041, + 24993567 + ], + [ + 7597438, + 62351745 + ], + [ + 98197650, + 17264018 + ], + [ + 61421357, + 47949397 + ], + [ + 88643780, + 8839184 + ], + [ + 61713287, + 3246574 + ], + [ + 52200317, + 63333967 + ], + [ + 3702608, + 36903220 + ], + [ + 6645385, + 97774752 + ], + [ + 54663978, + 21143091 + ], + [ + 91982366, + 9448246 + ], + [ + 73361965, + 3952133 + ], + [ + 44018616, + 29033612 + ], + [ + 47476114, + 26372493 + ], + [ + 86968974, + 51147250 + ], + [ + 62214431, + 40229849 + ], + [ + 51160979, + 20347785 + ], + [ + 8548159, + 62012279 + ], + [ + 6741671, + 28128855 + ], + [ + 22992406, + 97101140 + ], + [ + 54204764, + 63561136 + ], + [ + 36467121, + 69534665 + ], + [ + 75777678, + 95305903 + ], + [ + 37293081, + 86111307 + ], + [ + 50451236, + 93228669 + ], + [ + 42379175, + 2904997 + ], + [ + 36188135, + 4252907 + ], + [ + 65038027, + 15759812 + ], + [ + 32372968, + 24370190 + ], + [ + 68133818, + 90635425 + ], + [ + 17318449, + 87831276 + ], + [ + 93069460, + 4760125 + ], + [ + 47678662, + 99883687 + ], + [ + 72692256, + 87678619 + ], + [ + 24305397, + 88728815 + ], + [ + 26438318, + 3405914 + ], + [ + 64709710, + 4829510 + ], + [ + 60678720, + 95906832 + ], + [ + 68670812, + 88590796 + ], + [ + 88547124, + 38147677 + ], + [ + 36956292, + 70191509 + ], + [ + 55556554, + 85712065 + ], + [ + 54876906, + 16225232 + ], + [ + 11064283, + 26577822 + ], + [ + 54654294, + 87092136 + ], + [ + 46442076, + 85244476 + ], + [ + 99972372, + 47235104 + ], + [ + 59857989, + 3782761 + ], + [ + 78415150, + 6682625 + ], + [ + 22013763, + 20104773 + ], + [ + 91985785, + 18482390 + ], + [ + 1617791, + 45673163 + ], + [ + 64086174, + 24799589 + ], + [ + 37124797, + 58199200 + ], + [ + 98272836, + 16264694 + ], + [ + 3622832, + 11274991 + ], + [ + 85932813, + 2065845 + ], + [ + 61718189, + 19410796 + ], + [ + 61972154, + 18155909 + ], + [ + 22549813, + 9784981 + ], + [ + 93588672, + 15188527 + ], + [ + 56791542, + 56824225 + ], + [ + 15688326, + 28200703 + ], + [ + 98349032, + 57721674 + ], + [ + 57280764, + 5211587 + ], + [ + 98714711, + 97128990 + ], + [ + 77404257, + 30893334 + ], + [ + 87332615, + 69669776 + ], + [ + 41135087, + 11689169 + ], + [ + 82035056, + 88498936 + ], + [ + 53318539, + 77602590 + ], + [ + 27236218, + 91773001 + ], + [ + 87061677, + 82818547 + ], + [ + 17758280, + 80160580 + ], + [ + 60482247, + 17372382 + ], + [ + 13654651, + 63601291 + ], + [ + 77986156, + 50683706 + ], + [ + 68974200, + 60428551 + ], + [ + 44789380, + 80591582 + ], + [ + 11271117, + 2666871 + ], + [ + 8784905, + 36273331 + ], + [ + 35911915, + 90733950 + ], + [ + 22577508, + 38249949 + ], + [ + 22189003, + 88998346 + ], + [ + 83845588, + 55340739 + ], + [ + 56260067, + 76333697 + ], + [ + 63442117, + 83531382 + ], + [ + 20746338, + 46756112 + ], + [ + 38477624, + 82722672 + ], + [ + 60928770, + 52078341 + ], + [ + 79025323, + 70958609 + ], + [ + 65635536, + 57057308 + ], + [ + 59579726, + 50140990 + ], + [ + 22192655, + 86866862 + ], + [ + 71950145, + 10714741 + ], + [ + 87202315, + 27692011 + ], + [ + 93769488, + 64922455 + ], + [ + 86007039, + 48242145 + ], + [ + 5277255, + 92665751 + ], + [ + 94094677, + 54849218 + ], + [ + 67160022, + 81579483 + ], + [ + 96757325, + 45487349 + ], + [ + 92435874, + 11317924 + ], + [ + 25037001, + 2960535 + ], + [ + 48182709, + 18820201 + ], + [ + 19638889, + 4430059 + ], + [ + 98343744, + 54958888 + ], + [ + 33714619, + 42346424 + ], + [ + 22099169, + 95266645 + ], + [ + 78033928, + 65614793 + ], + [ + 51510377, + 50284114 + ], + [ + 74714680, + 93637751 + ], + [ + 2566670, + 89767684 + ], + [ + 74537101, + 37189103 + ], + [ + 13745019, + 43143705 + ], + [ + 43377541, + 41261557 + ], + [ + 88603053, + 43137542 + ], + [ + 75268151, + 86732608 + ], + [ + 53745828, + 6200339 + ], + [ + 74157291, + 14731247 + ], + [ + 57813900, + 576221 + ], + [ + 40412024, + 33540753 + ], + [ + 48254339, + 90977087 + ], + [ + 17203661, + 36907497 + ], + [ + 2520432, + 83882546 + ], + [ + 20830871, + 81951875 + ], + [ + 97103664, + 49499177 + ], + [ + 73508157, + 5849134 + ], + [ + 1897226, + 93005909 + ], + [ + 30882441, + 48742896 + ], + [ + 74186954, + 60040223 + ], + [ + 30198285, + 73288454 + ], + [ + 88842985, + 83576192 + ], + [ + 18481797, + 56567597 + ], + [ + 84268497, + 83290302 + ], + [ + 69891057, + 60595904 + ], + [ + 77162567, + 37130354 + ], + [ + 67016842, + 48790767 + ], + [ + 499262, + 26027597 + ], + [ + 81054419, + 93077471 + ], + [ + 52537300, + 88538081 + ], + [ + 56964425, + 5137208 + ], + [ + 25379663, + 88106928 + ], + [ + 71685939, + 16478647 + ], + [ + 84810657, + 66928904 + ], + [ + 56809324, + 87757558 + ], + [ + 93114993, + 56615904 + ], + [ + 95308906, + 89933483 + ], + [ + 71792148, + 96718307 + ], + [ + 60770162, + 46120543 + ], + [ + 82655048, + 86130868 + ], + [ + 74203187, + 80896621 + ], + [ + 43030704, + 77272671 + ], + [ + 27639676, + 68937986 + ], + [ + 36457571, + 49130796 + ], + [ + 10212524, + 75801838 + ], + [ + 74614215, + 49695669 + ], + [ + 56761077, + 4365537 + ], + [ + 52994673, + 64782345 + ], + [ + 81454495, + 576712 + ], + [ + 18462950, + 91518158 + ], + [ + 15562489, + 14719512 + ], + [ + 18668740, + 75666760 + ], + [ + 95186598, + 44404472 + ], + [ + 95558128, + 25087951 + ], + [ + 78028458, + 71978859 + ], + [ + 41280786, + 21281151 + ], + [ + 91493412, + 12730303 + ], + [ + 22397488, + 25418738 + ], + [ + 47431444, + 60347532 + ], + [ + 14954628, + 94330825 + ], + [ + 76029514, + 47007732 + ], + [ + 83449788, + 94439073 + ], + [ + 51976328, + 40901396 + ], + [ + 95530882, + 93431774 + ], + [ + 84182880, + 29463393 + ], + [ + 19440650, + 30852403 + ], + [ + 38016872, + 8116008 + ], + [ + 58106433, + 97826685 + ], + [ + 93330794, + 49877167 + ], + [ + 17367281, + 78061848 + ], + [ + 76020486, + 32065282 + ], + [ + 43026560, + 11859311 + ], + [ + 73868722, + 25430996 + ], + [ + 77528450, + 55687381 + ], + [ + 41816195, + 80687297 + ], + [ + 83315894, + 64045651 + ], + [ + 63102527, + 71355987 + ], + [ + 66795330, + 54095776 + ], + [ + 11825257, + 5177887 + ], + [ + 54446810, + 312622 + ], + [ + 8713361, + 49224670 + ], + [ + 25018246, + 350668 + ], + [ + 73717991, + 46807671 + ], + [ + 98422747, + 42115537 + ], + [ + 19358996, + 67756030 + ], + [ + 48307243, + 99875592 + ], + [ + 11270318, + 35389638 + ], + [ + 47770442, + 41111368 + ], + [ + 98706464, + 20401928 + ], + [ + 26518998, + 8331211 + ], + [ + 48167651, + 86605000 + ], + [ + 94237751, + 97411700 + ], + [ + 5461571, + 82311340 + ], + [ + 4288873, + 48810524 + ], + [ + 86043055, + 3640052 + ], + [ + 82953941, + 92444814 + ], + [ + 84387762, + 72610959 + ], + [ + 60002862, + 66008036 + ], + [ + 87009767, + 67997873 + ], + [ + 5910249, + 76095390 + ], + [ + 68438787, + 12177141 + ], + [ + 38492707, + 27695823 + ], + [ + 56543906, + 62262821 + ], + [ + 48443437, + 61382069 + ], + [ + 36727166, + 85067663 + ], + [ + 70558487, + 84069672 + ], + [ + 8046252, + 12194967 + ], + [ + 4930512, + 75798426 + ], + [ + 96880810, + 46103275 + ], + [ + 53038233, + 69743153 + ], + [ + 91414389, + 13060796 + ], + [ + 91789261, + 55612621 + ], + [ + 11629615, + 19243400 + ], + [ + 16636595, + 51252289 + ], + [ + 35263978, + 16420158 + ], + [ + 37138926, + 41008306 + ], + [ + 19976179, + 37323321 + ], + [ + 26913972, + 87017868 + ], + [ + 89069016, + 93351347 + ], + [ + 79691880, + 15139653 + ], + [ + 20318741, + 69714024 + ], + [ + 35063069, + 97489940 + ], + [ + 3568908, + 84909844 + ], + [ + 64424868, + 80553384 + ], + [ + 12231308, + 97415379 + ], + [ + 73412056, + 34630914 + ], + [ + 94286234, + 73504462 + ], + [ + 35151267, + 99352034 + ], + [ + 89133346, + 28796816 + ], + [ + 27371363, + 55560911 + ], + [ + 71978586, + 25286674 + ], + [ + 89974914, + 93246479 + ], + [ + 82536312, + 91035083 + ], + [ + 87930781, + 42344855 + ], + [ + 85559364, + 5307499 + ], + [ + 77548186, + 7523635 + ], + [ + 71132710, + 56309991 + ], + [ + 32739334, + 26313336 + ], + [ + 51959551, + 86081432 + ], + [ + 92998646, + 24803086 + ], + [ + 33663582, + 10637670 + ], + [ + 34642594, + 23911712 + ], + [ + 91303726, + 48917877 + ], + [ + 51769418, + 96566459 + ], + [ + 97422899, + 53799303 + ], + [ + 59884009, + 87175701 + ], + [ + 51096155, + 44124647 + ], + [ + 54499568, + 19033366 + ], + [ + 29818719, + 97733498 + ], + [ + 84763721, + 26932662 + ], + [ + 16576829, + 83954842 + ], + [ + 36926178, + 20279955 + ], + [ + 38368391, + 77397173 + ], + [ + 55908989, + 55650999 + ], + [ + 11797729, + 2063991 + ], + [ + 44124726, + 62294174 + ], + [ + 43569914, + 68771085 + ], + [ + 96456065, + 49976495 + ], + [ + 22455757, + 37397530 + ], + [ + 95227699, + 30783661 + ], + [ + 15533634, + 74151446 + ], + [ + 17646416, + 97215938 + ], + [ + 64750098, + 16888689 + ], + [ + 15532591, + 66250235 + ], + [ + 53579351, + 2073413 + ], + [ + 9788815, + 29165298 + ], + [ + 1097940, + 680403 + ], + [ + 92362532, + 86518125 + ], + [ + 32097137, + 70224651 + ], + [ + 13334642, + 70066417 + ], + [ + 5249368, + 32108928 + ], + [ + 98458983, + 87292382 + ], + [ + 45194838, + 6354246 + ], + [ + 41754709, + 66112448 + ], + [ + 18749359, + 52624860 + ], + [ + 42900237, + 73535485 + ], + [ + 18622719, + 32176858 + ], + [ + 82776392, + 25406229 + ], + [ + 54502047, + 15079229 + ], + [ + 84343795, + 19163587 + ], + [ + 6177342, + 858342 + ], + [ + 90619433, + 94196538 + ], + [ + 42619443, + 65324377 + ], + [ + 60333742, + 55925521 + ], + [ + 88936895, + 35716020 + ], + [ + 40133569, + 6949801 + ], + [ + 83166794, + 98092671 + ], + [ + 19704087, + 89460022 + ], + [ + 33350034, + 76728053 + ], + [ + 81184618, + 73286716 + ], + [ + 83863181, + 61221734 + ], + [ + 87317497, + 83981371 + ], + [ + 5272206, + 94103654 + ], + [ + 17124288, + 94922941 + ], + [ + 53931910, + 39909033 + ], + [ + 25145903, + 52325376 + ], + [ + 77790650, + 22492685 + ], + [ + 9660292, + 56724669 + ], + [ + 763309, + 99062922 + ], + [ + 68521980, + 27922518 + ], + [ + 76194912, + 14264034 + ], + [ + 89968816, + 22071914 + ], + [ + 81623534, + 82432721 + ], + [ + 51763576, + 4561504 + ], + [ + 34009342, + 28236266 + ], + [ + 97217386, + 14074782 + ], + [ + 5897121, + 42852998 + ], + [ + 44117898, + 82924175 + ], + [ + 62079632, + 64047430 + ], + [ + 19429516, + 70549307 + ], + [ + 39296679, + 75699837 + ], + [ + 59595873, + 47830300 + ], + [ + 67479015, + 84027039 + ], + [ + 70620620, + 8069084 + ], + [ + 22563740, + 10574511 + ], + [ + 41469454, + 47659758 + ], + [ + 42283676, + 59300128 + ], + [ + 73484348, + 29947525 + ], + [ + 59817973, + 45692435 + ], + [ + 97313292, + 2639772 + ], + [ + 34839825, + 1788954 + ], + [ + 29377007, + 18581426 + ], + [ + 27321755, + 56928500 + ], + [ + 38475302, + 27337803 + ], + [ + 3221598, + 71327241 + ], + [ + 28388311, + 92519743 + ], + [ + 79783175, + 50078959 + ], + [ + 66640173, + 79651724 + ], + [ + 79670975, + 83102493 + ], + [ + 99748619, + 78712264 + ], + [ + 85528980, + 87584290 + ], + [ + 74704214, + 42100443 + ], + [ + 55341363, + 29312479 + ], + [ + 76418615, + 43097276 + ], + [ + 55430799, + 68493326 + ], + [ + 79879158, + 10710515 + ], + [ + 97661705, + 61840617 + ], + [ + 60066693, + 1151395 + ], + [ + 64938781, + 9913747 + ], + [ + 38571007, + 206369 + ], + [ + 99166308, + 89857068 + ], + [ + 72058379, + 1371264 + ], + [ + 93663562, + 35548118 + ], + [ + 35048478, + 89024939 + ], + [ + 53378424, + 31358417 + ], + [ + 27107459, + 3856537 + ], + [ + 64001751, + 47816820 + ], + [ + 93070211, + 10363356 + ], + [ + 14990998, + 73996132 + ], + [ + 79575166, + 45391767 + ], + [ + 14908487, + 91240988 + ], + [ + 53186492, + 86563251 + ], + [ + 55098018, + 91553321 + ], + [ + 10923895, + 87452717 + ], + [ + 75814742, + 50020840 + ], + [ + 49345443, + 98005377 + ], + [ + 85742126, + 13452443 + ], + [ + 45241982, + 66129524 + ], + [ + 41896645, + 64368282 + ], + [ + 10694551, + 33794218 + ], + [ + 62368259, + 70524935 + ], + [ + 88484046, + 52319921 + ], + [ + 42870731, + 7180203 + ], + [ + 60905187, + 99533875 + ], + [ + 85787712, + 60345208 + ], + [ + 5468923, + 85572672 + ], + [ + 37301780, + 13839684 + ], + [ + 20541654, + 4337988 + ], + [ + 43810695, + 53158419 + ], + [ + 11049077, + 44038580 + ], + [ + 86795063, + 35692612 + ], + [ + 47373217, + 70590510 + ], + [ + 50861747, + 86774921 + ], + [ + 1670918, + 95236598 + ], + [ + 37255380, + 62638338 + ], + [ + 27302782, + 75429635 + ], + [ + 48253754, + 16840563 + ], + [ + 32549991, + 63690902 + ], + [ + 74153510, + 35346660 + ], + [ + 89954804, + 49325041 + ], + [ + 4792723, + 50958377 + ], + [ + 88108626, + 86519984 + ], + [ + 80894393, + 81770502 + ], + [ + 67120432, + 8992067 + ], + [ + 11341293, + 49881160 + ], + [ + 40580046, + 23192549 + ], + [ + 1899478, + 44925240 + ], + [ + 95758863, + 1024892 + ], + [ + 50245838, + 39585624 + ], + [ + 54526387, + 55058124 + ], + [ + 37658443, + 99738807 + ], + [ + 83588764, + 16735527 + ], + [ + 96376825, + 27919878 + ], + [ + 44400825, + 82590894 + ], + [ + 47792831, + 79757668 + ], + [ + 25187314, + 54772254 + ], + [ + 5198159, + 63774974 + ], + [ + 58191534, + 6591761 + ], + [ + 89003507, + 42103762 + ], + [ + 62766499, + 79038978 + ], + [ + 6247905, + 1399743 + ], + [ + 85310768, + 18132644 + ], + [ + 96255901, + 79378250 + ], + [ + 92680172, + 28990609 + ], + [ + 42367851, + 47596698 + ], + [ + 34167469, + 57101897 + ], + [ + 62547028, + 39080835 + ], + [ + 78187948, + 53917711 + ], + [ + 5457464, + 89175020 + ], + [ + 38757002, + 3328223 + ], + [ + 92174629, + 45789612 + ], + [ + 50075903, + 38283266 + ], + [ + 18725925, + 74898509 + ], + [ + 63899687, + 57945988 + ], + [ + 25015726, + 67911580 + ], + [ + 69090005, + 27137509 + ], + [ + 2812450, + 94444318 + ], + [ + 52835748, + 25977669 + ], + [ + 98068860, + 59999967 + ], + [ + 71791520, + 28052723 + ], + [ + 56781301, + 99217559 + ], + [ + 97225422, + 5425299 + ], + [ + 60548530, + 63409838 + ], + [ + 17964500, + 407332 + ], + [ + 80050928, + 33065203 + ], + [ + 80691640, + 92452139 + ], + [ + 55674981, + 67799247 + ], + [ + 63240957, + 97087257 + ], + [ + 16232496, + 43492710 + ], + [ + 73533570, + 24411160 + ], + [ + 8315113, + 88734244 + ], + [ + 96152177, + 66323035 + ], + [ + 50555873, + 71210272 + ], + [ + 97089982, + 60166526 + ], + [ + 85814654, + 8865437 + ], + [ + 64922598, + 4066078 + ], + [ + 77888612, + 67763355 + ], + [ + 9788422, + 53457015 + ], + [ + 6907929, + 23901600 + ], + [ + 18203821, + 54143708 + ], + [ + 12660508, + 6504374 + ], + [ + 92804133, + 39992706 + ], + [ + 25895258, + 86037056 + ], + [ + 75261594, + 94254351 + ], + [ + 78931379, + 43826763 + ], + [ + 9811300, + 82900547 + ], + [ + 49230184, + 42302643 + ], + [ + 42811615, + 13951424 + ], + [ + 34265640, + 74687390 + ], + [ + 48020393, + 27363919 + ], + [ + 80729406, + 92507148 + ], + [ + 70840006, + 93963272 + ], + [ + 57846429, + 27245912 + ], + [ + 90830598, + 44248154 + ], + [ + 51460819, + 17735404 + ], + [ + 13240271, + 82372844 + ], + [ + 14181056, + 52515657 + ], + [ + 1035753, + 53838310 + ], + [ + 16155882, + 65963909 + ], + [ + 22583732, + 96997749 + ], + [ + 47674767, + 28670916 + ], + [ + 73964483, + 94546618 + ], + [ + 16413040, + 69380893 + ], + [ + 49033755, + 6789715 + ], + [ + 89784853, + 70891171 + ], + [ + 63514377, + 89581203 + ], + [ + 93611643, + 11977521 + ], + [ + 13576206, + 3417952 + ], + [ + 11231426, + 20806773 + ], + [ + 90679145, + 12859615 + ], + [ + 79364047, + 70733512 + ], + [ + 69059080, + 55198423 + ], + [ + 69213198, + 65725428 + ], + [ + 40741293, + 78493342 + ], + [ + 69023962, + 66346237 + ], + [ + 62451801, + 1058953 + ], + [ + 1216273, + 17209687 + ], + [ + 52401409, + 13396760 + ], + [ + 68965246, + 27587351 + ], + [ + 14952040, + 38189418 + ], + [ + 74193448, + 216748 + ], + [ + 81405946, + 86527843 + ], + [ + 28808056, + 4416820 + ], + [ + 60536917, + 26967310 + ], + [ + 33848852, + 26625288 + ], + [ + 28562081, + 17068217 + ], + [ + 57246464, + 88937708 + ], + [ + 11917293, + 30176855 + ], + [ + 52180405, + 20073195 + ], + [ + 20697740, + 3797272 + ], + [ + 54764194, + 10098378 + ], + [ + 42038995, + 97710769 + ], + [ + 9713720, + 85513004 + ], + [ + 7852377, + 66127933 + ], + [ + 86543218, + 20164899 + ], + [ + 1509687, + 73365938 + ], + [ + 65261601, + 97169356 + ], + [ + 67561857, + 87730518 + ], + [ + 96274959, + 66729488 + ], + [ + 30653568, + 72033303 + ], + [ + 8346959, + 27783126 + ], + [ + 92794638, + 20204679 + ], + [ + 2527346, + 69382143 + ], + [ + 83010205, + 83314011 + ], + [ + 65615249, + 97695113 + ], + [ + 47669777, + 8275549 + ], + [ + 98818583, + 17194161 + ], + [ + 63160529, + 16845437 + ], + [ + 75386864, + 24222298 + ], + [ + 31342882, + 13396253 + ], + [ + 6991984, + 65477093 + ], + [ + 83289741, + 23301029 + ], + [ + 64933214, + 19679986 + ], + [ + 32616897, + 73183359 + ], + [ + 95121058, + 49179639 + ], + [ + 43792861, + 58996730 + ], + [ + 53855200, + 85783331 + ], + [ + 28671925, + 71068489 + ], + [ + 84596732, + 98467065 + ], + [ + 91899165, + 70148049 + ], + [ + 67408553, + 38702919 + ], + [ + 4910151, + 120880 + ], + [ + 398999, + 53376189 + ], + [ + 19856487, + 73218890 + ], + [ + 90930038, + 7932148 + ], + [ + 50664157, + 20904746 + ], + [ + 19872894, + 94918734 + ], + [ + 681696, + 45328028 + ], + [ + 14589176, + 26406469 + ], + [ + 76177072, + 73788908 + ], + [ + 26947355, + 70849150 + ], + [ + 44911040, + 78773255 + ], + [ + 36925548, + 45486004 + ], + [ + 14128981, + 87390567 + ], + [ + 4120092, + 34691767 + ], + [ + 66195263, + 1122501 + ], + [ + 75154912, + 23081343 + ], + [ + 5330898, + 55669582 + ], + [ + 87227454, + 13699144 + ], + [ + 279873, + 62717588 + ], + [ + 146249, + 35799386 + ], + [ + 91074, + 75528514 + ], + [ + 39774240, + 17283139 + ], + [ + 31675979, + 11809138 + ], + [ + 23484858, + 46601866 + ], + [ + 74935657, + 86211317 + ], + [ + 5121403, + 36517370 + ], + [ + 61385787, + 67879610 + ], + [ + 28680180, + 82491279 + ], + [ + 83268001, + 99755066 + ], + [ + 58595911, + 64522559 + ], + [ + 83469175, + 58833876 + ], + [ + 35813114, + 61783497 + ], + [ + 44341323, + 62806059 + ], + [ + 65308321, + 50648684 + ], + [ + 26890609, + 39014028 + ], + [ + 23531139, + 43930871 + ], + [ + 76765865, + 18719246 + ], + [ + 78858229, + 64617367 + ], + [ + 9331841, + 40132785 + ], + [ + 27761878, + 78158169 + ], + [ + 64740712, + 78864868 + ], + [ + 88564799, + 60703738 + ], + [ + 19484102, + 98415397 + ], + [ + 14390378, + 98652959 + ], + [ + 1649356, + 31881466 + ], + [ + 40091355, + 89463589 + ], + [ + 1274636, + 26747415 + ], + [ + 63737436, + 12632437 + ], + [ + 61935657, + 17719280 + ], + [ + 78061911, + 47207814 + ], + [ + 47735012, + 30330959 + ], + [ + 17103954, + 10636570 + ], + [ + 6446193, + 50076981 + ], + [ + 20820645, + 94020763 + ], + [ + 47696189, + 6404984 + ], + [ + 92966438, + 75474487 + ], + [ + 3334430, + 35483457 + ], + [ + 92259796, + 49611310 + ], + [ + 33583202, + 643312 + ], + [ + 69234855, + 217553 + ], + [ + 248563, + 71947942 + ], + [ + 69948432, + 57501381 + ], + [ + 5798777, + 86611774 + ], + [ + 75369940, + 2416029 + ], + [ + 85096716, + 99044062 + ], + [ + 62713784, + 78567638 + ], + [ + 15182091, + 38151718 + ], + [ + 50341683, + 90194045 + ], + [ + 4223928, + 62634700 + ], + [ + 23280528, + 3243343 + ], + [ + 18741632, + 89433280 + ], + [ + 51658851, + 24759783 + ], + [ + 88462226, + 98560245 + ], + [ + 31025671, + 45507624 + ], + [ + 92933510, + 93467388 + ], + [ + 12557590, + 43974105 + ], + [ + 24710292, + 33491557 + ], + [ + 54687451, + 85724677 + ], + [ + 85451869, + 79935236 + ], + [ + 39819177, + 19439786 + ], + [ + 53713715, + 34840115 + ], + [ + 4632790, + 23216720 + ], + [ + 84780582, + 11516408 + ], + [ + 41796571, + 66178543 + ], + [ + 91046051, + 5840647 + ], + [ + 47245805, + 21371127 + ], + [ + 81151777, + 50657966 + ], + [ + 97230488, + 72203819 + ], + [ + 69411301, + 5688500 + ], + [ + 55480161, + 90389298 + ], + [ + 61776069, + 59013434 + ], + [ + 97292849, + 23242135 + ], + [ + 46531088, + 87084295 + ], + [ + 64024902, + 93142523 + ], + [ + 36617770, + 65850025 + ], + [ + 65418073, + 26190269 + ], + [ + 27922485, + 77624535 + ], + [ + 12955602, + 93398722 + ], + [ + 36988002, + 60539661 + ], + [ + 44707890, + 95455584 + ], + [ + 46301336, + 30432420 + ], + [ + 27431309, + 71219375 + ], + [ + 54787777, + 81059960 + ], + [ + 1931642, + 17074617 + ], + [ + 18331306, + 63840547 + ], + [ + 29409932, + 68302618 + ], + [ + 56569838, + 36033029 + ], + [ + 54259202, + 86832136 + ], + [ + 44852300, + 82707482 + ], + [ + 65129512, + 22591377 + ], + [ + 17720817, + 27572095 + ], + [ + 61767809, + 38676966 + ], + [ + 45648864, + 44886268 + ], + [ + 59457149, + 78536617 + ], + [ + 51375325, + 99943910 + ], + [ + 30780844, + 31413024 + ], + [ + 64504660, + 95323324 + ], + [ + 40757642, + 27373414 + ], + [ + 348928, + 72683745 + ], + [ + 47398851, + 17233647 + ], + [ + 95122603, + 21769248 + ], + [ + 80083850, + 67221623 + ], + [ + 12965203, + 31774535 + ], + [ + 83274694, + 79634826 + ], + [ + 53030461, + 18391009 + ], + [ + 46090361, + 20925910 + ], + [ + 66639951, + 10356479 + ], + [ + 49876107, + 28161572 + ], + [ + 41778266, + 70066331 + ], + [ + 32604441, + 34962763 + ], + [ + 23158382, + 28976852 + ], + [ + 14208727, + 85492711 + ], + [ + 90048129, + 1040878 + ], + [ + 99325379, + 11877505 + ], + [ + 84746540, + 21641304 + ], + [ + 3697662, + 44929911 + ], + [ + 1706163, + 38852666 + ], + [ + 34378487, + 40120275 + ], + [ + 66045011, + 16991350 + ], + [ + 17918935, + 80906751 + ], + [ + 22496487, + 29146802 + ], + [ + 51801795, + 90280986 + ], + [ + 61180286, + 80885163 + ], + [ + 10815827, + 74586332 + ], + [ + 57074874, + 9953780 + ], + [ + 8898766, + 84165613 + ], + [ + 16224180, + 44556910 + ], + [ + 47989591, + 44971406 + ], + [ + 72730768, + 4963874 + ], + [ + 28228407, + 49964623 + ], + [ + 91073780, + 98218245 + ], + [ + 60491099, + 63324259 + ], + [ + 137572, + 59078973 + ], + [ + 38301497, + 17923595 + ], + [ + 10150819, + 54488909 + ], + [ + 42869162, + 87619094 + ], + [ + 28253153, + 45578318 + ], + [ + 87801920, + 98199963 + ], + [ + 73263734, + 13708148 + ], + [ + 84636737, + 7971959 + ], + [ + 37714391, + 37317886 + ], + [ + 43546360, + 64876518 + ], + [ + 6013471, + 66737169 + ], + [ + 34407252, + 70157543 + ], + [ + 99722669, + 28961344 + ], + [ + 80062801, + 48227258 + ], + [ + 61150769, + 40946815 + ], + [ + 56306967, + 87155431 + ], + [ + 98493769, + 42755108 + ], + [ + 55583488, + 32087102 + ], + [ + 77756692, + 81368905 + ], + [ + 87063838, + 54366847 + ], + [ + 59612535, + 55142689 + ], + [ + 70567395, + 29691973 + ], + [ + 10325103, + 86691923 + ], + [ + 71715930, + 45412617 + ], + [ + 56353605, + 86085758 + ], + [ + 97481692, + 80166219 + ], + [ + 27975474, + 47555597 + ], + [ + 99744175, + 37477327 + ], + [ + 62489140, + 20749723 + ], + [ + 23639594, + 59035358 + ], + [ + 85692923, + 34886426 + ], + [ + 12999582, + 9788766 + ], + [ + 18121469, + 19089518 + ], + [ + 19980713, + 55375773 + ], + [ + 19058924, + 73746442 + ], + [ + 14870282, + 71285701 + ], + [ + 61345733, + 24892271 + ], + [ + 88089127, + 38066303 + ], + [ + 67312454, + 8881851 + ], + [ + 60570475, + 80034872 + ], + [ + 75278636, + 87984116 + ], + [ + 89036949, + 82039900 + ], + [ + 59218037, + 57399979 + ], + [ + 91427680, + 54594159 + ], + [ + 53107992, + 39601812 + ], + [ + 92650224, + 54751582 + ], + [ + 52148488, + 67762413 + ], + [ + 89874520, + 43736476 + ], + [ + 66219959, + 83938984 + ], + [ + 43498627, + 26488251 + ], + [ + 49458215, + 37519658 + ], + [ + 7337167, + 3408960 + ], + [ + 37263286, + 26305415 + ], + [ + 91931189, + 79184806 + ], + [ + 94049281, + 55946977 + ], + [ + 65505890, + 8550750 + ], + [ + 57825081, + 21664088 + ], + [ + 66863483, + 44932204 + ], + [ + 3064019, + 4996204 + ], + [ + 23300665, + 63485130 + ], + [ + 87737165, + 47323901 + ], + [ + 14282753, + 95286208 + ], + [ + 97661189, + 1561086 + ], + [ + 82796797, + 30123831 + ], + [ + 20453303, + 88832739 + ], + [ + 55469652, + 34149726 + ], + [ + 56833145, + 37536865 + ], + [ + 45466201, + 10479356 + ], + [ + 40173866, + 37575789 + ], + [ + 87955881, + 63676916 + ], + [ + 51892390, + 5521506 + ], + [ + 75206651, + 94152513 + ], + [ + 66521580, + 84702293 + ], + [ + 82412392, + 39391383 + ], + [ + 60834301, + 71008813 + ], + [ + 16917423, + 1671454 + ], + [ + 11559789, + 80722755 + ], + [ + 19433478, + 2204939 + ], + [ + 34968998, + 64477782 + ], + [ + 11454122, + 16158922 + ], + [ + 61922567, + 9098864 + ], + [ + 69900666, + 47464546 + ], + [ + 12154358, + 56996597 + ], + [ + 48238472, + 89152544 + ], + [ + 31275623, + 40189372 + ], + [ + 45649478, + 24536523 + ], + [ + 13099233, + 88705097 + ], + [ + 12135078, + 53076176 + ], + [ + 72758239, + 63636948 + ], + [ + 16615984, + 45996886 + ], + [ + 91416129, + 54756 + ], + [ + 35992838, + 26234685 + ], + [ + 3954339, + 97935233 + ], + [ + 87780192, + 74368793 + ], + [ + 41062502, + 82128531 + ], + [ + 4961296, + 62864798 + ], + [ + 3835550, + 24777259 + ], + [ + 9746066, + 89586605 + ], + [ + 31354549, + 14469885 + ], + [ + 50852778, + 62219612 + ], + [ + 31811891, + 86344447 + ], + [ + 93683498, + 72852367 + ], + [ + 45404621, + 5340577 + ], + [ + 97043354, + 2890072 + ], + [ + 50108855, + 33458017 + ], + [ + 20816570, + 35637840 + ], + [ + 79796153, + 15060348 + ], + [ + 18864194, + 97319596 + ], + [ + 29882939, + 14247622 + ], + [ + 65434624, + 20688153 + ], + [ + 60190206, + 74849802 + ], + [ + 7809301, + 5603001 + ], + [ + 31403482, + 22108161 + ], + [ + 16476180, + 51944286 + ], + [ + 65182592, + 73515311 + ], + [ + 40861381, + 78899442 + ], + [ + 83046624, + 20462122 + ], + [ + 96236248, + 15259061 + ], + [ + 8385455, + 86581405 + ], + [ + 89717527, + 88203618 + ], + [ + 56294482, + 65422702 + ], + [ + 32734341, + 66450537 + ], + [ + 69857904, + 70689357 + ], + [ + 27703657, + 36051880 + ], + [ + 883509, + 81768169 + ], + [ + 86622084, + 82981317 + ], + [ + 84670013, + 89068422 + ], + [ + 64798509, + 80886098 + ], + [ + 49173389, + 49395712 + ], + [ + 982914, + 13665456 + ], + [ + 61065121, + 84973403 + ], + [ + 35259291, + 68123469 + ], + [ + 53084902, + 77710705 + ], + [ + 89194522, + 61324748 + ], + [ + 81332822, + 98158974 + ], + [ + 21651749, + 81450465 + ], + [ + 40721871, + 6894681 + ], + [ + 69268652, + 19724899 + ], + [ + 19215717, + 35534188 + ], + [ + 13176206, + 14219684 + ], + [ + 2886538, + 42563930 + ], + [ + 92228844, + 93344992 + ], + [ + 79478037, + 87348194 + ], + [ + 63218600, + 1162995 + ], + [ + 45312548, + 66563724 + ], + [ + 70908231, + 30603983 + ], + [ + 76561548, + 2757456 + ], + [ + 86861872, + 67080265 + ], + [ + 92339195, + 87814101 + ], + [ + 57870381, + 60102188 + ], + [ + 46162920, + 35128358 + ], + [ + 86544793, + 69801022 + ], + [ + 98143062, + 14615755 + ], + [ + 73919643, + 22781040 + ], + [ + 66880728, + 43664905 + ], + [ + 33281577, + 47272360 + ], + [ + 79009729, + 20168367 + ], + [ + 63431161, + 23385712 + ], + [ + 13835536, + 10757166 + ], + [ + 45895622, + 56789063 + ], + [ + 10695089, + 4037566 + ], + [ + 33354834, + 84676494 + ], + [ + 33902719, + 99041540 + ], + [ + 81352352, + 87152508 + ], + [ + 48059068, + 16175292 + ], + [ + 5296158, + 85251968 + ], + [ + 73330856, + 15024553 + ], + [ + 97175750, + 419047 + ], + [ + 94187238, + 48846869 + ], + [ + 62049550, + 48079029 + ], + [ + 802180, + 771417 + ], + [ + 24600386, + 88357600 + ], + [ + 38905987, + 7376164 + ], + [ + 14999877, + 28279889 + ], + [ + 16070385, + 56595628 + ], + [ + 88951522, + 68361505 + ], + [ + 37540415, + 44725873 + ], + [ + 45847874, + 94133278 + ], + [ + 66916604, + 32047442 + ], + [ + 37422744, + 64887443 + ], + [ + 2725059, + 60116265 + ], + [ + 32020502, + 57139543 + ], + [ + 38725538, + 22097098 + ], + [ + 65396139, + 21804620 + ], + [ + 43043944, + 54921596 + ], + [ + 21430804, + 88251304 + ], + [ + 29919610, + 44775620 + ], + [ + 26418865, + 86469158 + ], + [ + 59342221, + 40998315 + ], + [ + 25414188, + 75800945 + ], + [ + 11500102, + 1838343 + ], + [ + 13855497, + 64139010 + ], + [ + 3633126, + 26843679 + ], + [ + 1257995, + 3259324 + ], + [ + 59808878, + 51832572 + ], + [ + 21943105, + 45342802 + ], + [ + 24774844, + 85852053 + ], + [ + 42395391, + 40141793 + ], + [ + 86625677, + 68491236 + ], + [ + 13014658, + 6129793 + ], + [ + 47922597, + 70624419 + ], + [ + 59740652, + 61491392 + ], + [ + 4115287, + 45896871 + ], + [ + 9861780, + 10441402 + ], + [ + 80694941, + 92497201 + ], + [ + 30850447, + 26800087 + ], + [ + 83840988, + 11988760 + ], + [ + 47311498, + 55383594 + ], + [ + 99680514, + 71373510 + ], + [ + 74784362, + 97365439 + ], + [ + 17458403, + 776152 + ], + [ + 75316229, + 78554905 + ], + [ + 22434184, + 46447981 + ], + [ + 82212459, + 43808058 + ], + [ + 548188, + 30605582 + ], + [ + 82001390, + 84013456 + ], + [ + 54982939, + 55168755 + ], + [ + 24376605, + 41736391 + ], + [ + 37310685, + 53630671 + ], + [ + 11636179, + 50407102 + ], + [ + 48807372, + 29212982 + ], + [ + 46078574, + 83770746 + ], + [ + 94718839, + 26837281 + ], + [ + 76566480, + 71548518 + ], + [ + 14527023, + 27901456 + ], + [ + 17620362, + 44863434 + ], + [ + 57168708, + 67914616 + ], + [ + 24893532, + 75062051 + ], + [ + 4491993, + 3989055 + ], + [ + 57742220, + 49300750 + ], + [ + 54825081, + 57366898 + ], + [ + 49533985, + 9836256 + ], + [ + 46988698, + 96874573 + ], + [ + 49949179, + 22238728 + ], + [ + 80987507, + 89094314 + ], + [ + 7878968, + 11628463 + ], + [ + 17955253, + 544066 + ], + [ + 12629542, + 93806020 + ], + [ + 98210506, + 92486940 + ], + [ + 29651083, + 9363282 + ], + [ + 21422060, + 98921929 + ], + [ + 41010434, + 53204288 + ], + [ + 78201784, + 47327679 + ], + [ + 69256284, + 60021125 + ], + [ + 34312897, + 58810806 + ], + [ + 57325021, + 28810702 + ], + [ + 78791025, + 50268255 + ], + [ + 99795453, + 64293841 + ], + [ + 86772857, + 94145412 + ], + [ + 22664615, + 16098654 + ], + [ + 15894495, + 48284416 + ], + [ + 49986853, + 60702035 + ], + [ + 44450057, + 36899606 + ], + [ + 5802234, + 99922210 + ], + [ + 22691276, + 92260547 + ], + [ + 95497681, + 79917426 + ], + [ + 80611767, + 92448188 + ], + [ + 15800275, + 79664385 + ], + [ + 23967379, + 95177452 + ], + [ + 67614316, + 52870469 + ], + [ + 76969911, + 86287677 + ], + [ + 72991071, + 53713676 + ], + [ + 71467041, + 78929867 + ], + [ + 11523047, + 26445611 + ], + [ + 33745173, + 13653802 + ], + [ + 86590105, + 70468763 + ], + [ + 38806909, + 28158515 + ], + [ + 76339826, + 37229217 + ], + [ + 10825556, + 73272670 + ], + [ + 98094160, + 82809744 + ], + [ + 85251010, + 9669055 + ], + [ + 50043785, + 4066389 + ], + [ + 83999301, + 21812515 + ], + [ + 12939765, + 73880237 + ], + [ + 57214357, + 69241068 + ], + [ + 33247226, + 34669836 + ], + [ + 13252373, + 63869810 + ], + [ + 76925030, + 66229791 + ], + [ + 96849231, + 20882912 + ], + [ + 8122384, + 79662045 + ], + [ + 6868602, + 5397373 + ], + [ + 80718815, + 87479964 + ], + [ + 56215883, + 24531263 + ], + [ + 19621605, + 51186921 + ], + [ + 90144326, + 32811027 + ], + [ + 83697591, + 71536654 + ], + [ + 2827656, + 21270684 + ], + [ + 51622342, + 25364415 + ], + [ + 60127081, + 94412172 + ], + [ + 80798164, + 44075125 + ], + [ + 29534282, + 30220061 + ], + [ + 75210804, + 64899748 + ], + [ + 27078715, + 60707444 + ], + [ + 92275385, + 54853338 + ], + [ + 84907633, + 57111130 + ], + [ + 13094552, + 31018498 + ], + [ + 30441077, + 1392819 + ], + [ + 25252876, + 65051960 + ], + [ + 93180103, + 96013759 + ], + [ + 9801215, + 31235096 + ], + [ + 8772097, + 80923759 + ], + [ + 65322459, + 8017679 + ], + [ + 11425933, + 65234650 + ], + [ + 46190734, + 77687228 + ], + [ + 39638135, + 18371242 + ], + [ + 65719934, + 47414006 + ], + [ + 77982962, + 9045723 + ], + [ + 96942349, + 76401319 + ], + [ + 60825046, + 5836215 + ], + [ + 23518986, + 88290061 + ], + [ + 42403389, + 98549372 + ], + [ + 80408795, + 12892910 + ], + [ + 12465164, + 24236265 + ], + [ + 14956674, + 58968414 + ], + [ + 85803139, + 30026905 + ], + [ + 69090257, + 45081084 + ], + [ + 79270311, + 5171692 + ], + [ + 36210825, + 92242966 + ], + [ + 66659914, + 53254277 + ], + [ + 28270469, + 52370848 + ], + [ + 62644170, + 35130937 + ], + [ + 55351936, + 33995330 + ], + [ + 88939344, + 95295527 + ], + [ + 78079047, + 57168509 + ], + [ + 14489675, + 57794122 + ], + [ + 69336997, + 44034270 + ], + [ + 92086127, + 31031779 + ], + [ + 7655541, + 8412425 + ], + [ + 3552357, + 5295241 + ], + [ + 41050768, + 21293645 + ], + [ + 53769186, + 46723593 + ], + [ + 96021698, + 25015312 + ], + [ + 35338649, + 45334688 + ], + [ + 37958669, + 82819346 + ], + [ + 63563320, + 6091273 + ], + [ + 50583885, + 63424155 + ], + [ + 19218121, + 88311421 + ], + [ + 58336864, + 27987809 + ], + [ + 49202914, + 7477416 + ], + [ + 27683925, + 3922957 + ], + [ + 84476928, + 28649936 + ], + [ + 2914784, + 2122628 + ], + [ + 84659086, + 33927593 + ], + [ + 18842434, + 27476951 + ], + [ + 76127976, + 75313398 + ], + [ + 75884131, + 94557883 + ], + [ + 52259659, + 17233496 + ], + [ + 18367993, + 95243382 + ], + [ + 76384966, + 23174577 + ], + [ + 9510247, + 55969698 + ], + [ + 82644540, + 10601118 + ], + [ + 63527175, + 20970653 + ], + [ + 37425517, + 82654048 + ], + [ + 72185000, + 8471452 + ], + [ + 57637188, + 73749079 + ], + [ + 59915012, + 29091631 + ], + [ + 48710259, + 72259912 + ], + [ + 56234583, + 43691857 + ], + [ + 77184029, + 7856158 + ], + [ + 81267812, + 16469034 + ], + [ + 27220416, + 26733644 + ], + [ + 60103598, + 31821993 + ], + [ + 41990255, + 50552374 + ], + [ + 63087032, + 82616685 + ], + [ + 84645762, + 35212277 + ], + [ + 97837339, + 99395233 + ], + [ + 28662677, + 63793708 + ], + [ + 77603240, + 72262022 + ], + [ + 34989372, + 5262970 + ], + [ + 14925435, + 76587179 + ], + [ + 26914481, + 26105670 + ], + [ + 2330288, + 64366974 + ], + [ + 42827183, + 22692261 + ], + [ + 71891242, + 37843184 + ], + [ + 37773715, + 64173364 + ], + [ + 92272928, + 70137762 + ], + [ + 76513653, + 68473852 + ], + [ + 44839785, + 15406674 + ], + [ + 67867817, + 23374174 + ], + [ + 2000558, + 20521724 + ], + [ + 74037968, + 32397505 + ], + [ + 56827028, + 67825047 + ], + [ + 18915146, + 57465308 + ], + [ + 46328900, + 1983620 + ], + [ + 51964682, + 58359279 + ], + [ + 67802350, + 87119487 + ], + [ + 98481430, + 62841637 + ], + [ + 36623682, + 66468577 + ], + [ + 91729070, + 9806960 + ], + [ + 6398366, + 78991310 + ], + [ + 93613216, + 52604096 + ], + [ + 79291977, + 70916461 + ], + [ + 26149966, + 22872670 + ], + [ + 67159297, + 53243889 + ], + [ + 38389070, + 37110032 + ], + [ + 87524574, + 38105593 + ], + [ + 58101191, + 69032982 + ], + [ + 27198259, + 47348611 + ], + [ + 90914356, + 19483876 + ], + [ + 5528264, + 42861194 + ], + [ + 27574029, + 28813186 + ], + [ + 27757182, + 46334749 + ], + [ + 88828392, + 51756217 + ], + [ + 73310016, + 13059653 + ], + [ + 94795190, + 28213148 + ], + [ + 22088539, + 7840788 + ], + [ + 54863999, + 67595244 + ], + [ + 11825680, + 97986556 + ], + [ + 25924996, + 9790553 + ], + [ + 980040, + 95461085 + ], + [ + 76164770, + 91248343 + ], + [ + 43272503, + 35354188 + ], + [ + 18867007, + 10656119 + ], + [ + 89618878, + 68822367 + ], + [ + 21131535, + 69240581 + ], + [ + 78038653, + 27362682 + ], + [ + 51714963, + 94916085 + ], + [ + 89214096, + 40970464 + ], + [ + 38379100, + 21267952 + ], + [ + 55359732, + 36422819 + ], + [ + 88237937, + 11895001 + ], + [ + 28352365, + 93874263 + ], + [ + 41478804, + 44461803 + ], + [ + 6474009, + 25874072 + ], + [ + 61669069, + 87503464 + ], + [ + 59311011, + 24025766 + ], + [ + 48515149, + 68846669 + ], + [ + 23778445, + 20878253 + ], + [ + 81300776, + 40256781 + ], + [ + 8028849, + 57030966 + ], + [ + 62185431, + 56579978 + ], + [ + 43308830, + 16617226 + ], + [ + 56250324, + 51395040 + ], + [ + 83075440, + 87549875 + ], + [ + 15881887, + 10934362 + ], + [ + 39621460, + 23976931 + ], + [ + 39131574, + 6363086 + ], + [ + 88914590, + 51946830 + ], + [ + 50019033, + 81064871 + ], + [ + 39049171, + 54751242 + ], + [ + 70058720, + 73756204 + ], + [ + 4212167, + 33776523 + ], + [ + 94341527, + 7171533 + ], + [ + 88610906, + 57943706 + ], + [ + 9764021, + 20314175 + ], + [ + 64243379, + 89641559 + ], + [ + 53911867, + 79795238 + ], + [ + 55554236, + 25207328 + ], + [ + 44697157, + 16796863 + ], + [ + 33860452, + 63480616 + ], + [ + 37235598, + 77071522 + ], + [ + 79580560, + 80665420 + ], + [ + 98588004, + 41775857 + ], + [ + 22345835, + 76732318 + ], + [ + 96239393, + 46558064 + ], + [ + 42010155, + 65432282 + ], + [ + 80725519, + 94644509 + ], + [ + 69670753, + 91057964 + ], + [ + 20973469, + 35292361 + ], + [ + 53100279, + 25349004 + ], + [ + 81531920, + 37330914 + ], + [ + 99355436, + 96973978 + ], + [ + 16607910, + 37339031 + ], + [ + 5671188, + 27671507 + ], + [ + 61793693, + 42035664 + ], + [ + 48837176, + 15370591 + ], + [ + 78221957, + 62381701 + ], + [ + 53069416, + 87335770 + ], + [ + 18522521, + 70554973 + ], + [ + 41324570, + 24990854 + ], + [ + 27153246, + 37112518 + ], + [ + 69080679, + 33791954 + ], + [ + 99203739, + 55313440 + ], + [ + 94095163, + 84976362 + ], + [ + 72943941, + 49666890 + ], + [ + 52174333, + 86143151 + ], + [ + 88893468, + 89922961 + ], + [ + 50192952, + 83254904 + ], + [ + 10411112, + 3589861 + ], + [ + 93612683, + 72292050 + ], + [ + 59606435, + 72465952 + ], + [ + 84990782, + 3542574 + ], + [ + 19402218, + 5862636 + ], + [ + 39843271, + 65173976 + ], + [ + 54864865, + 67868407 + ], + [ + 33069710, + 81472976 + ], + [ + 40963239, + 45643993 + ], + [ + 41679313, + 24184395 + ], + [ + 28104321, + 99890529 + ], + [ + 39561767, + 73872011 + ], + [ + 46250612, + 11145121 + ], + [ + 67692104, + 91420672 + ], + [ + 8683039, + 96174241 + ], + [ + 54308213, + 52582973 + ], + [ + 44796053, + 64389638 + ], + [ + 17380525, + 84443946 + ], + [ + 49759408, + 7232885 + ], + [ + 6966549, + 26666856 + ], + [ + 53498035, + 70440402 + ], + [ + 37190612, + 36834731 + ], + [ + 30681083, + 9373772 + ], + [ + 82823074, + 42292918 + ], + [ + 28431754, + 90190123 + ], + [ + 90566719, + 6329689 + ], + [ + 21994934, + 95202312 + ], + [ + 9217346, + 87560892 + ], + [ + 34982650, + 81747209 + ], + [ + 48847340, + 51984709 + ], + [ + 72670145, + 71517187 + ], + [ + 62516202, + 3358383 + ], + [ + 70504840, + 14397083 + ], + [ + 73084951, + 10951977 + ], + [ + 13166048, + 55780533 + ], + [ + 2089494, + 11498758 + ], + [ + 32670825, + 92177905 + ], + [ + 23080773, + 19808875 + ], + [ + 55916624, + 96044988 + ], + [ + 35455981, + 88173689 + ], + [ + 57795724, + 36624637 + ], + [ + 14628943, + 48221061 + ], + [ + 36139346, + 10248011 + ], + [ + 4207115, + 29279045 + ], + [ + 46515129, + 7246194 + ], + [ + 63990499, + 41055990 + ], + [ + 52204272, + 35535875 + ], + [ + 51319082, + 97816221 + ], + [ + 2405051, + 78495135 + ], + [ + 90332331, + 62280203 + ], + [ + 7439126, + 13880934 + ], + [ + 11093379, + 80846680 + ], + [ + 12530077, + 43804804 + ], + [ + 73936629, + 90367734 + ], + [ + 69247508, + 76619450 + ], + [ + 82013916, + 82507949 + ], + [ + 92583666, + 37075010 + ], + [ + 50862089, + 57519660 + ], + [ + 64194614, + 9507667 + ], + [ + 44091557, + 48607815 + ], + [ + 16663637, + 19628990 + ], + [ + 78951704, + 38873488 + ], + [ + 19384056, + 97893908 + ], + [ + 38261058, + 40059700 + ], + [ + 47331221, + 85131289 + ], + [ + 65765408, + 59400014 + ], + [ + 95390085, + 33576903 + ], + [ + 42715174, + 71527507 + ], + [ + 26529673, + 44845865 + ], + [ + 69534919, + 53168451 + ], + [ + 85042768, + 79372758 + ], + [ + 75362738, + 40344890 + ], + [ + 78338223, + 66325894 + ], + [ + 17347982, + 58365566 + ], + [ + 20247221, + 12827353 + ], + [ + 22023945, + 69710711 + ], + [ + 31160375, + 95837875 + ], + [ + 75400598, + 88858332 + ], + [ + 66332735, + 43616716 + ], + [ + 94032502, + 70348879 + ], + [ + 55048295, + 67237356 + ], + [ + 75423706, + 97721011 + ], + [ + 16711078, + 13108263 + ], + [ + 26998217, + 89525098 + ], + [ + 61543129, + 76612048 + ], + [ + 92066468, + 38724575 + ], + [ + 16650752, + 86273960 + ], + [ + 10457598, + 90378460 + ], + [ + 5103661, + 35744301 + ], + [ + 8206780, + 68991898 + ], + [ + 24975360, + 97729274 + ], + [ + 40891576, + 45294755 + ], + [ + 80504205, + 87287203 + ], + [ + 16373755, + 75854343 + ], + [ + 30491598, + 97633588 + ], + [ + 33578441, + 39300051 + ], + [ + 36882694, + 76868593 + ], + [ + 28564189, + 46787632 + ], + [ + 32365011, + 66935094 + ], + [ + 14748081, + 34819012 + ], + [ + 4205293, + 87418595 + ], + [ + 35586608, + 13497946 + ], + [ + 82507356, + 5446599 + ], + [ + 6993974, + 8329945 + ], + [ + 40594808, + 73020275 + ], + [ + 91724749, + 39909250 + ], + [ + 99923878, + 55073543 + ], + [ + 66954811, + 5555835 + ], + [ + 41301815, + 50261006 + ], + [ + 20729807, + 90225891 + ], + [ + 96547261, + 76888145 + ], + [ + 85669763, + 33548126 + ], + [ + 32850022, + 40052923 + ], + [ + 57774988, + 66459808 + ], + [ + 88994546, + 71355032 + ], + [ + 85542991, + 54146992 + ], + [ + 41179746, + 34498546 + ], + [ + 56835929, + 98093561 + ], + [ + 72894110, + 73431475 + ], + [ + 81097524, + 6325129 + ], + [ + 38379009, + 8843867 + ], + [ + 97477590, + 64120982 + ], + [ + 43154036, + 3055091 + ], + [ + 18903938, + 54932493 + ], + [ + 35995044, + 66340472 + ], + [ + 83662385, + 80975571 + ], + [ + 47143042, + 94293856 + ], + [ + 83478957, + 68205858 + ], + [ + 53409953, + 79498683 + ], + [ + 43855439, + 52716930 + ], + [ + 58812868, + 7480317 + ], + [ + 95907752, + 50841917 + ], + [ + 14678750, + 31119803 + ], + [ + 55912146, + 71308104 + ], + [ + 73477844, + 54846437 + ], + [ + 42837327, + 54701007 + ], + [ + 1674285, + 69346252 + ], + [ + 34339330, + 54716661 + ], + [ + 52908574, + 69599879 + ], + [ + 55417102, + 37277428 + ], + [ + 13045123, + 73717309 + ], + [ + 75643530, + 38518951 + ], + [ + 51585431, + 85076872 + ], + [ + 89064924, + 48336598 + ], + [ + 17251946, + 94290768 + ], + [ + 1719394, + 95321087 + ], + [ + 63141362, + 43002735 + ], + [ + 27719703, + 72195257 + ], + [ + 76558345, + 64556153 + ], + [ + 45567507, + 68438844 + ], + [ + 73749881, + 98239198 + ], + [ + 74388330, + 52120542 + ], + [ + 36142187, + 5643802 + ], + [ + 22319159, + 7186876 + ], + [ + 70581229, + 79065306 + ], + [ + 57317947, + 12809178 + ], + [ + 15954508, + 27714796 + ], + [ + 2300553, + 9916553 + ], + [ + 8530094, + 88689849 + ], + [ + 55990789, + 89479206 + ], + [ + 4999753, + 61721485 + ], + [ + 29393813, + 25742902 + ], + [ + 97573385, + 84955926 + ], + [ + 95259853, + 25266081 + ], + [ + 24073298, + 74190555 + ], + [ + 85424579, + 79515288 + ], + [ + 79749348, + 30451973 + ], + [ + 92223412, + 62059715 + ], + [ + 89567769, + 47104523 + ], + [ + 50759294, + 4923846 + ], + [ + 81804174, + 70972473 + ], + [ + 23756699, + 54123535 + ], + [ + 13503995, + 46860294 + ], + [ + 42286623, + 89546569 + ], + [ + 13177928, + 71504543 + ], + [ + 1835297, + 86938084 + ], + [ + 83696724, + 84307431 + ], + [ + 48303327, + 6596238 + ], + [ + 5481546, + 15338689 + ], + [ + 97231402, + 48954834 + ], + [ + 6270279, + 69236385 + ], + [ + 75039071, + 9476915 + ], + [ + 76344796, + 35418568 + ], + [ + 49559069, + 63362509 + ], + [ + 55155435, + 96901331 + ], + [ + 93153533, + 86181271 + ], + [ + 57922948, + 1172121 + ], + [ + 7156638, + 89276349 + ], + [ + 11070936, + 58655341 + ], + [ + 97887427, + 78471360 + ], + [ + 99177957, + 85820973 + ], + [ + 49891776, + 3680403 + ], + [ + 30778257, + 50100781 + ], + [ + 56285498, + 30883449 + ], + [ + 11323952, + 21088784 + ], + [ + 77585661, + 71792877 + ], + [ + 79018767, + 19773739 + ], + [ + 6284314, + 1919051 + ], + [ + 76105048, + 25516800 + ], + [ + 5226322, + 9011690 + ], + [ + 21421409, + 16799419 + ], + [ + 38919720, + 28018320 + ], + [ + 55512127, + 5111681 + ], + [ + 86079684, + 22524691 + ], + [ + 75193718, + 87036052 + ], + [ + 68906802, + 88085976 + ], + [ + 50439886, + 84314826 + ], + [ + 2489742, + 7477498 + ], + [ + 28482203, + 26467898 + ], + [ + 680267, + 59409896 + ], + [ + 70750283, + 23638575 + ], + [ + 83152320, + 28132909 + ], + [ + 44369045, + 98257865 + ], + [ + 4680379, + 72063720 + ], + [ + 57504427, + 20898763 + ], + [ + 62515778, + 54599318 + ], + [ + 38624879, + 63352552 + ], + [ + 15255287, + 54792664 + ], + [ + 88978302, + 4235203 + ], + [ + 38072827, + 86646552 + ], + [ + 33681287, + 57748553 + ], + [ + 90599216, + 15929092 + ], + [ + 11789637, + 39738255 + ], + [ + 13726299, + 76041225 + ], + [ + 19859312, + 94933170 + ], + [ + 89351144, + 80904698 + ], + [ + 42094859, + 33289534 + ], + [ + 77074876, + 94534970 + ], + [ + 75331159, + 54317887 + ], + [ + 93810097, + 45815449 + ], + [ + 43894654, + 98833245 + ], + [ + 3638529, + 31806527 + ], + [ + 74000911, + 46360535 + ], + [ + 56458269, + 10413139 + ], + [ + 78686203, + 67113623 + ], + [ + 4479937, + 84542942 + ], + [ + 28428257, + 55474468 + ], + [ + 80477207, + 97866431 + ], + [ + 32935616, + 60887235 + ], + [ + 18908122, + 29622880 + ], + [ + 15816047, + 374511 + ], + [ + 43854541, + 71639118 + ], + [ + 83296181, + 79543588 + ], + [ + 27127124, + 27600647 + ], + [ + 35793396, + 90223896 + ], + [ + 94319148, + 67511126 + ], + [ + 15049228, + 6449791 + ], + [ + 46003576, + 2491209 + ], + [ + 19362754, + 37727604 + ], + [ + 99111318, + 88897203 + ], + [ + 5769799, + 60622542 + ], + [ + 23312379, + 92109382 + ], + [ + 65880956, + 48537444 + ], + [ + 82486988, + 87261579 + ], + [ + 19452125, + 25238427 + ], + [ + 33798213, + 94687584 + ], + [ + 72902320, + 28496110 + ], + [ + 56359313, + 40601393 + ], + [ + 82519570, + 86509773 + ], + [ + 16961574, + 72206243 + ], + [ + 82693966, + 18937516 + ], + [ + 97210983, + 54285536 + ], + [ + 40168714, + 52675506 + ], + [ + 72023325, + 55855191 + ], + [ + 90454594, + 9238409 + ], + [ + 73005694, + 47276787 + ], + [ + 86987522, + 74521301 + ], + [ + 27675479, + 18635589 + ], + [ + 22032261, + 26059995 + ], + [ + 9088223, + 55876449 + ], + [ + 86397876, + 71744643 + ], + [ + 49738121, + 15353307 + ], + [ + 15107047, + 74993501 + ], + [ + 34229265, + 17894011 + ], + [ + 24988149, + 11813519 + ], + [ + 30592125, + 47815973 + ], + [ + 55533392, + 83727209 + ], + [ + 17911282, + 1986683 + ], + [ + 5646674, + 6866158 + ], + [ + 14391228, + 66896091 + ], + [ + 87493063, + 18540326 + ], + [ + 6900664, + 63584250 + ], + [ + 86847605, + 67685663 + ], + [ + 35598627, + 36286854 + ], + [ + 98850621, + 47001524 + ], + [ + 25683548, + 94522860 + ], + [ + 14261325, + 12298967 + ], + [ + 32860995, + 1095760 + ], + [ + 10491014, + 99600132 + ], + [ + 48237514, + 19987546 + ], + [ + 63764596, + 86963826 + ], + [ + 13779589, + 72378978 + ], + [ + 90306766, + 34231502 + ], + [ + 11449740, + 69620913 + ], + [ + 66343140, + 88702952 + ], + [ + 38380517, + 2066437 + ], + [ + 60086254, + 88817849 + ], + [ + 57502827, + 3835941 + ], + [ + 23920798, + 9676969 + ], + [ + 25783132, + 18140718 + ], + [ + 14065520, + 61482209 + ], + [ + 23027018, + 80996382 + ], + [ + 11444356, + 43370703 + ], + [ + 3162280, + 71162341 + ], + [ + 21006090, + 16865878 + ], + [ + 48677204, + 42307684 + ], + [ + 72384967, + 18762141 + ], + [ + 23434570, + 58243644 + ], + [ + 66707328, + 83015173 + ], + [ + 376482, + 52243569 + ], + [ + 12912762, + 73397229 + ], + [ + 53393451, + 35001800 + ], + [ + 64853195, + 74994168 + ], + [ + 46160001, + 92566051 + ], + [ + 14509647, + 56047887 + ], + [ + 69863086, + 12086105 + ], + [ + 67456560, + 40274647 + ], + [ + 69671653, + 42138206 + ], + [ + 44570531, + 18801035 + ], + [ + 45700386, + 30323307 + ], + [ + 61523200, + 51163062 + ], + [ + 5158109, + 51707662 + ], + [ + 13392040, + 93889278 + ], + [ + 91098399, + 78657946 + ], + [ + 48731031, + 69500557 + ], + [ + 67437346, + 74167615 + ], + [ + 66339391, + 13845576 + ], + [ + 80977481, + 86415734 + ], + [ + 70010594, + 94468266 + ], + [ + 79863599, + 23542824 + ], + [ + 40128684, + 26938314 + ], + [ + 87857409, + 76291833 + ], + [ + 6320919, + 79700311 + ], + [ + 39439703, + 10606682 + ], + [ + 25982227, + 3302193 + ], + [ + 39907249, + 68414197 + ], + [ + 98717935, + 48234605 + ], + [ + 72449503, + 20238082 + ], + [ + 89611852, + 35227074 + ], + [ + 8811084, + 3612541 + ], + [ + 55996288, + 65683603 + ], + [ + 57006826, + 77909438 + ], + [ + 82719169, + 20186371 + ], + [ + 32177066, + 60010412 + ], + [ + 36132596, + 7686734 + ], + [ + 70763288, + 14617110 + ], + [ + 98423140, + 7222433 + ], + [ + 50823911, + 53856947 + ], + [ + 28015499, + 39574647 + ], + [ + 98647594, + 72991164 + ], + [ + 69951845, + 12558215 + ], + [ + 2762164, + 8017823 + ], + [ + 77061355, + 37497155 + ], + [ + 20104807, + 89272069 + ], + [ + 41809725, + 56763207 + ], + [ + 75882193, + 34754577 + ], + [ + 23434853, + 40859542 + ], + [ + 26672109, + 9674177 + ], + [ + 67627812, + 11528800 + ], + [ + 84206069, + 52347660 + ], + [ + 31285430, + 77919137 + ], + [ + 72352400, + 87476268 + ], + [ + 41362430, + 73014519 + ], + [ + 49870685, + 53059008 + ], + [ + 1119995, + 12772933 + ], + [ + 34490159, + 49015581 + ], + [ + 83226148, + 67694187 + ], + [ + 82026041, + 65650380 + ], + [ + 51198794, + 10394799 + ], + [ + 90585412, + 59354094 + ], + [ + 70778530, + 89090810 + ], + [ + 24366445, + 13345491 + ], + [ + 33320178, + 40650937 + ], + [ + 48783823, + 2066870 + ], + [ + 60763928, + 43585628 + ], + [ + 11755768, + 4090351 + ], + [ + 73208764, + 82199509 + ], + [ + 13601613, + 20025712 + ], + [ + 68014384, + 44952694 + ], + [ + 19356953, + 35726571 + ], + [ + 91411364, + 9669603 + ], + [ + 72062325, + 54520687 + ], + [ + 20473142, + 68633162 + ], + [ + 90201630, + 96957970 + ], + [ + 2887977, + 67904098 + ], + [ + 36565804, + 9765517 + ], + [ + 14102990, + 6554287 + ], + [ + 88555891, + 78013778 + ], + [ + 47803137, + 76160246 + ], + [ + 90104718, + 69660291 + ], + [ + 68542643, + 45938626 + ], + [ + 63701225, + 64593392 + ], + [ + 42036913, + 13381091 + ], + [ + 20917076, + 30819063 + ], + [ + 55864847, + 94130625 + ], + [ + 41630495, + 98914825 + ], + [ + 12684196, + 33150807 + ], + [ + 26992395, + 80935991 + ], + [ + 19107934, + 50257071 + ], + [ + 35262577, + 72093898 + ], + [ + 11611103, + 34015325 + ], + [ + 14423976, + 16707584 + ], + [ + 95262159, + 40448617 + ], + [ + 74950991, + 62487671 + ], + [ + 44199481, + 20793343 + ], + [ + 3363520, + 14536105 + ], + [ + 61005180, + 32969840 + ], + [ + 70130522, + 17019502 + ], + [ + 69708263, + 51589163 + ], + [ + 44347098, + 69942244 + ], + [ + 32851894, + 82401507 + ], + [ + 86516462, + 19084804 + ], + [ + 91259636, + 32171010 + ], + [ + 13397834, + 74751777 + ], + [ + 85043700, + 39453104 + ], + [ + 57920559, + 78006179 + ], + [ + 8480245, + 1160427 + ], + [ + 60884120, + 2126133 + ], + [ + 41322383, + 72036313 + ], + [ + 87752353, + 79586337 + ], + [ + 72333940, + 54358491 + ], + [ + 79841696, + 61904845 + ], + [ + 4321578, + 44573270 + ], + [ + 48846855, + 55215373 + ], + [ + 27924231, + 49648088 + ], + [ + 46894336, + 60258300 + ], + [ + 15451325, + 17852210 + ], + [ + 14302733, + 38080964 + ], + [ + 17231664, + 77017623 + ], + [ + 141185, + 98289274 + ], + [ + 6179850, + 47608350 + ], + [ + 72010993, + 8828796 + ], + [ + 61823674, + 6340926 + ], + [ + 90466167, + 95312186 + ], + [ + 81217580, + 1779204 + ], + [ + 50853330, + 18538222 + ], + [ + 89550804, + 77768196 + ], + [ + 39948724, + 48681463 + ], + [ + 36100685, + 79229959 + ], + [ + 10956342, + 65802369 + ], + [ + 15987054, + 56525234 + ], + [ + 71920793, + 97798938 + ], + [ + 24681857, + 38089880 + ], + [ + 34669410, + 85155980 + ], + [ + 48125389, + 10003318 + ], + [ + 39599862, + 6850928 + ], + [ + 50676987, + 90745754 + ], + [ + 47646631, + 48706440 + ], + [ + 7554368, + 60023165 + ], + [ + 80577612, + 58959254 + ], + [ + 45317981, + 77829039 + ], + [ + 76253977, + 46635837 + ], + [ + 25910043, + 99719402 + ], + [ + 50694763, + 1231300 + ], + [ + 50514116, + 57752384 + ], + [ + 23447837, + 6018562 + ], + [ + 66108824, + 70192681 + ], + [ + 10119331, + 23642743 + ], + [ + 30408267, + 24621655 + ], + [ + 24287726, + 91779080 + ], + [ + 81648214, + 82359462 + ], + [ + 18352329, + 42930749 + ], + [ + 5878757, + 23988639 + ], + [ + 94798361, + 40804305 + ], + [ + 70286853, + 57483330 + ], + [ + 48947790, + 86709449 + ], + [ + 69486778, + 28230191 + ], + [ + 17227172, + 29458270 + ], + [ + 88680425, + 17634744 + ], + [ + 94645029, + 16364303 + ], + [ + 73921305, + 49942169 + ], + [ + 65569633, + 30962022 + ], + [ + 8820885, + 26825184 + ], + [ + 69693862, + 51373800 + ], + [ + 76739341, + 56351841 + ], + [ + 4923311, + 22235529 + ], + [ + 42823810, + 2153711 + ], + [ + 44942744, + 94520988 + ], + [ + 55146912, + 75948823 + ], + [ + 28061830, + 6004207 + ], + [ + 8472941, + 97868334 + ], + [ + 27889136, + 78642027 + ], + [ + 57776679, + 7097255 + ], + [ + 84465463, + 7027215 + ], + [ + 1523124, + 13181524 + ], + [ + 22300091, + 61470158 + ], + [ + 16870579, + 25255456 + ], + [ + 93356159, + 34113370 + ], + [ + 5451828, + 33516103 + ], + [ + 7133845, + 30468030 + ], + [ + 38834670, + 41189582 + ], + [ + 61993939, + 67261069 + ], + [ + 2605925, + 38922688 + ], + [ + 52963955, + 66930279 + ], + [ + 36210580, + 86031245 + ], + [ + 86084213, + 75034163 + ], + [ + 73552882, + 37620270 + ], + [ + 26451585, + 55942552 + ], + [ + 46431418, + 94271324 + ], + [ + 37026175, + 98151707 + ], + [ + 95864018, + 71923803 + ], + [ + 47604067, + 79653172 + ], + [ + 19801946, + 81965706 + ], + [ + 19331272, + 94615692 + ], + [ + 82269292, + 85555918 + ], + [ + 48919805, + 76819809 + ], + [ + 64875350, + 88312686 + ], + [ + 93669536, + 56805511 + ], + [ + 10022923, + 112137 + ], + [ + 28288957, + 24918762 + ], + [ + 36658612, + 25133374 + ], + [ + 88739976, + 92664135 + ], + [ + 32724673, + 8595015 + ], + [ + 6614025, + 35972471 + ], + [ + 86133676, + 84472589 + ], + [ + 88466941, + 16117476 + ], + [ + 22996824, + 45656197 + ], + [ + 69660402, + 12853465 + ], + [ + 52006012, + 8531140 + ], + [ + 21844627, + 62634984 + ], + [ + 22790481, + 1345861 + ], + [ + 4721149, + 30682590 + ], + [ + 17108618, + 20783131 + ], + [ + 40780211, + 89079755 + ], + [ + 80325793, + 90983600 + ], + [ + 76498562, + 61216609 + ], + [ + 17099644, + 58554307 + ], + [ + 53977866, + 64294002 + ], + [ + 45745407, + 87015201 + ], + [ + 94272071, + 57503473 + ], + [ + 45476902, + 3107767 + ], + [ + 98350783, + 75158634 + ], + [ + 35684870, + 74010861 + ], + [ + 73948562, + 31348929 + ], + [ + 15477151, + 73260561 + ], + [ + 76407687, + 51511652 + ], + [ + 29785663, + 88545221 + ], + [ + 65268829, + 4069754 + ], + [ + 47197616, + 3974606 + ], + [ + 82952980, + 44856921 + ], + [ + 54025512, + 11056700 + ], + [ + 71147935, + 44447331 + ], + [ + 36414238, + 95630756 + ], + [ + 18732938, + 41301619 + ], + [ + 74767186, + 66238048 + ], + [ + 84617271, + 30703831 + ], + [ + 82075834, + 56295809 + ], + [ + 6926342, + 47760662 + ], + [ + 15952122, + 55639289 + ], + [ + 50399407, + 83723001 + ], + [ + 75345142, + 59383752 + ], + [ + 2260365, + 5057032 + ], + [ + 92711651, + 71178520 + ], + [ + 17627093, + 93969704 + ], + [ + 22051851, + 50168550 + ], + [ + 10221462, + 59097312 + ], + [ + 41862916, + 29780677 + ], + [ + 11226009, + 56190184 + ], + [ + 74717438, + 72058398 + ], + [ + 31191173, + 82558906 + ], + [ + 26157031, + 1630715 + ], + [ + 65057040, + 49309573 + ], + [ + 37202038, + 59674718 + ], + [ + 78172106, + 51308374 + ], + [ + 18959646, + 38575710 + ], + [ + 7786515, + 27927048 + ], + [ + 14459484, + 96239593 + ], + [ + 88024077, + 81621461 + ], + [ + 77001549, + 12540736 + ], + [ + 33787280, + 49681349 + ], + [ + 32356603, + 69898398 + ], + [ + 42278862, + 51819112 + ], + [ + 22840314, + 75226222 + ], + [ + 83372224, + 18240059 + ], + [ + 89540622, + 81863248 + ], + [ + 84828055, + 1631966 + ], + [ + 9326607, + 54567711 + ], + [ + 30067454, + 2301586 + ], + [ + 67459845, + 55717988 + ], + [ + 32441568, + 13405363 + ], + [ + 9486714, + 96794458 + ], + [ + 55090727, + 13663722 + ], + [ + 42074586, + 92896837 + ], + [ + 28352181, + 16147128 + ], + [ + 50923874, + 17663629 + ], + [ + 87792284, + 34900476 + ], + [ + 22155521, + 98782576 + ], + [ + 9372683, + 99953085 + ], + [ + 1147181, + 12764999 + ], + [ + 29389579, + 33486489 + ], + [ + 611458, + 30146572 + ], + [ + 16593501, + 2168768 + ], + [ + 61327536, + 20470038 + ], + [ + 6921287, + 86050412 + ], + [ + 67221810, + 63399989 + ], + [ + 76014343, + 74750041 + ], + [ + 60730729, + 29045940 + ], + [ + 8187140, + 4252409 + ], + [ + 12172066, + 33467154 + ], + [ + 73472288, + 26795060 + ], + [ + 70255464, + 36001169 + ], + [ + 39026076, + 1659602 + ], + [ + 16238770, + 85431085 + ], + [ + 64523353, + 96231618 + ], + [ + 57607957, + 82457025 + ], + [ + 22972111, + 11659173 + ], + [ + 76948302, + 4850181 + ], + [ + 76262053, + 58895874 + ], + [ + 15962632, + 7429978 + ], + [ + 85956503, + 86413039 + ], + [ + 49402059, + 83100179 + ], + [ + 57921151, + 88570822 + ], + [ + 99295460, + 43367999 + ], + [ + 99287018, + 33032417 + ], + [ + 50317048, + 49214410 + ], + [ + 36241064, + 43719772 + ], + [ + 88515094, + 71794763 + ], + [ + 9553228, + 95998849 + ], + [ + 56098724, + 60996531 + ], + [ + 63038891, + 80252055 + ], + [ + 8248158, + 14234551 + ], + [ + 47159464, + 31937224 + ], + [ + 1393670, + 50136525 + ], + [ + 1196366, + 84563468 + ], + [ + 141876, + 76590028 + ], + [ + 32396811, + 31641866 + ], + [ + 36088078, + 82505197 + ], + [ + 66277020, + 51326596 + ], + [ + 10547146, + 78770152 + ], + [ + 69893970, + 88784719 + ], + [ + 69400605, + 85788911 + ], + [ + 51756715, + 34860054 + ], + [ + 33430423, + 35663878 + ], + [ + 70719124, + 71165551 + ], + [ + 69515779, + 32018150 + ], + [ + 76191160, + 74555776 + ], + [ + 98147154, + 39729728 + ], + [ + 20918037, + 11361027 + ], + [ + 99692495, + 18438356 + ], + [ + 14895532, + 95241485 + ], + [ + 9688848, + 69238332 + ], + [ + 33335965, + 75071772 + ], + [ + 2876365, + 6702048 + ], + [ + 3756906, + 58215801 + ], + [ + 82982215, + 95099257 + ], + [ + 26656004, + 19330381 + ], + [ + 11981487, + 68829635 + ], + [ + 82292595, + 24990426 + ], + [ + 79553407, + 2438642 + ], + [ + 69574556, + 4980905 + ], + [ + 90176531, + 50390471 + ], + [ + 55911811, + 46070962 + ], + [ + 69286050, + 79394362 + ], + [ + 59176306, + 83216710 + ], + [ + 28217037, + 19597915 + ], + [ + 6709017, + 81841550 + ], + [ + 62120441, + 84219570 + ], + [ + 59358756, + 48281357 + ], + [ + 33666591, + 2060657 + ], + [ + 89865088, + 39188002 + ], + [ + 85255204, + 95460502 + ], + [ + 69485039, + 64145581 + ], + [ + 60066130, + 79093998 + ], + [ + 77823270, + 5238131 + ], + [ + 91530596, + 84607408 + ], + [ + 16586917, + 3175617 + ], + [ + 95481458, + 47956065 + ], + [ + 31480207, + 33390173 + ], + [ + 45473794, + 51132575 + ], + [ + 55176250, + 41267367 + ], + [ + 4077573, + 42519974 + ], + [ + 66280423, + 77690456 + ], + [ + 68632732, + 9201259 + ], + [ + 74875980, + 14178234 + ], + [ + 38320286, + 39713799 + ], + [ + 22257369, + 68791536 + ], + [ + 86412525, + 32693548 + ], + [ + 89370722, + 4535428 + ], + [ + 62487495, + 58131442 + ], + [ + 43916279, + 58935397 + ], + [ + 37239777, + 95660460 + ], + [ + 87789731, + 92424886 + ], + [ + 390003, + 54453944 + ], + [ + 16488032, + 56578776 + ], + [ + 3429115, + 80154309 + ], + [ + 9451282, + 98680733 + ], + [ + 53538465, + 37291847 + ], + [ + 21855480, + 48845655 + ], + [ + 62533129, + 2330713 + ], + [ + 41427368, + 83142929 + ], + [ + 57176668, + 94267702 + ], + [ + 15495871, + 65661547 + ], + [ + 49143769, + 80042546 + ], + [ + 46164587, + 84460523 + ], + [ + 55305222, + 7201392 + ], + [ + 45176892, + 23787886 + ], + [ + 34009137, + 46363482 + ], + [ + 84636570, + 55781347 + ], + [ + 56203225, + 36446840 + ], + [ + 77109359, + 27406082 + ], + [ + 54444973, + 15414144 + ], + [ + 30841919, + 59530528 + ], + [ + 76736458, + 40732963 + ], + [ + 69920526, + 85618478 + ], + [ + 92442969, + 47921493 + ], + [ + 65377897, + 86523898 + ], + [ + 95901513, + 88508856 + ], + [ + 77029244, + 495938 + ], + [ + 31609391, + 27971119 + ], + [ + 96508830, + 16340793 + ], + [ + 25939074, + 90561781 + ], + [ + 5320879, + 90814968 + ], + [ + 11923452, + 29073847 + ], + [ + 21803950, + 13625201 + ], + [ + 60764320, + 36105905 + ], + [ + 52917101, + 62979385 + ], + [ + 2887423, + 1393423 + ], + [ + 59742922, + 31154852 + ], + [ + 34455509, + 52758410 + ], + [ + 49734749, + 49597164 + ], + [ + 51510257, + 29009146 + ], + [ + 50480984, + 72116030 + ], + [ + 98359948, + 75690996 + ], + [ + 27297243, + 99076983 + ], + [ + 26735124, + 69172561 + ], + [ + 33117722, + 10922320 + ], + [ + 45175674, + 15035556 + ], + [ + 38203934, + 43704143 + ], + [ + 76611755, + 44481057 + ], + [ + 44834966, + 82370054 + ], + [ + 21196087, + 99809564 + ], + [ + 34315156, + 72838192 + ], + [ + 91794918, + 31222210 + ], + [ + 28824480, + 11500602 + ], + [ + 38727373, + 96775946 + ], + [ + 83166537, + 11712775 + ], + [ + 66422848, + 82995156 + ], + [ + 84456497, + 21791478 + ], + [ + 81865366, + 74937923 + ], + [ + 25066415, + 32926582 + ], + [ + 44953231, + 47849363 + ], + [ + 3358137, + 14346120 + ], + [ + 98399063, + 98430684 + ], + [ + 25212830, + 6502686 + ], + [ + 16780983, + 37745858 + ], + [ + 96640269, + 95326066 + ], + [ + 73109031, + 80118836 + ], + [ + 70114560, + 42250976 + ], + [ + 37923979, + 90917491 + ], + [ + 4379991, + 72449688 + ], + [ + 56740087, + 71849771 + ], + [ + 78629838, + 76939075 + ], + [ + 39874261, + 57752740 + ], + [ + 54437992, + 43483192 + ], + [ + 13080974, + 63978041 + ], + [ + 83873629, + 69553478 + ], + [ + 2477801, + 27008350 + ], + [ + 39460703, + 7605314 + ], + [ + 47483580, + 54341722 + ], + [ + 36273415, + 73492761 + ], + [ + 73044809, + 54384211 + ], + [ + 56535044, + 86325992 + ], + [ + 62380849, + 45405227 + ], + [ + 85059424, + 54915499 + ], + [ + 53020036, + 56196515 + ], + [ + 81188874, + 8345807 + ], + [ + 95259643, + 70750308 + ], + [ + 70132301, + 18970718 + ], + [ + 75675198, + 12388354 + ], + [ + 9014492, + 80674599 + ], + [ + 79458941, + 71422100 + ], + [ + 76478102, + 79149514 + ], + [ + 97116468, + 57724194 + ], + [ + 88585667, + 88565195 + ], + [ + 6366846, + 1925881 + ], + [ + 86468149, + 71459078 + ], + [ + 79066844, + 78817335 + ], + [ + 90106088, + 33149794 + ], + [ + 1255724, + 21615101 + ], + [ + 60394073, + 7771556 + ], + [ + 93209289, + 98018311 + ], + [ + 34388657, + 34976793 + ], + [ + 67217386, + 81546939 + ], + [ + 26670337, + 8028312 + ], + [ + 2447103, + 20241348 + ], + [ + 88907566, + 86010957 + ], + [ + 92316575, + 40364134 + ], + [ + 55256512, + 80591319 + ], + [ + 49236300, + 28138710 + ], + [ + 69161321, + 32170384 + ], + [ + 16415593, + 98996648 + ], + [ + 84663325, + 77797307 + ], + [ + 67264004, + 40160017 + ], + [ + 28697430, + 651236 + ], + [ + 95862240, + 63184023 + ], + [ + 7908756, + 34052446 + ], + [ + 41306728, + 36556324 + ], + [ + 27388865, + 29115255 + ], + [ + 25020337, + 65100269 + ], + [ + 47936121, + 48566233 + ], + [ + 92190075, + 79424339 + ], + [ + 70575303, + 16206129 + ], + [ + 47505012, + 52718056 + ], + [ + 5261071, + 60388379 + ], + [ + 56105344, + 44908676 + ], + [ + 86105837, + 14013498 + ], + [ + 97067366, + 88658281 + ], + [ + 38841087, + 980434 + ], + [ + 95419524, + 37231137 + ], + [ + 94587539, + 88236575 + ], + [ + 51490778, + 27123065 + ], + [ + 92879009, + 83316457 + ], + [ + 51406753, + 88480146 + ], + [ + 18260754, + 83831787 + ], + [ + 32048387, + 78942633 + ], + [ + 781992, + 77893191 + ], + [ + 86805962, + 11481313 + ], + [ + 54198564, + 74220005 + ], + [ + 50464251, + 41678488 + ], + [ + 52938973, + 67841609 + ], + [ + 36036354, + 32824139 + ], + [ + 37233453, + 90159851 + ], + [ + 41778963, + 41469888 + ], + [ + 67153306, + 29418700 + ], + [ + 95628798, + 15067422 + ], + [ + 54300727, + 20589177 + ], + [ + 99770389, + 93146835 + ], + [ + 54893272, + 59412909 + ], + [ + 20689976, + 33377690 + ], + [ + 86816107, + 10087322 + ], + [ + 7097937, + 81835944 + ], + [ + 44761991, + 15364340 + ], + [ + 43968164, + 67029385 + ], + [ + 49797617, + 33175839 + ], + [ + 61142629, + 92768244 + ], + [ + 79325967, + 56878017 + ], + [ + 47998558, + 49501661 + ], + [ + 94801031, + 96022137 + ], + [ + 74493644, + 8942308 + ], + [ + 99119001, + 31481222 + ], + [ + 91473679, + 40271175 + ], + [ + 79409348, + 9700836 + ], + [ + 7902962, + 38156995 + ], + [ + 30487229, + 45287704 + ], + [ + 98821229, + 29563512 + ], + [ + 42549779, + 6477808 + ], + [ + 30787824, + 10964554 + ], + [ + 96205772, + 26625475 + ], + [ + 32045829, + 64062561 + ], + [ + 44131606, + 50217705 + ], + [ + 97289698, + 2445797 + ], + [ + 10119231, + 75782345 + ], + [ + 33334334, + 68411045 + ], + [ + 64296008, + 73270047 + ], + [ + 64810192, + 79917845 + ], + [ + 42959996, + 37284377 + ], + [ + 97769298, + 52352049 + ], + [ + 29470719, + 76150618 + ], + [ + 64548962, + 38160691 + ], + [ + 85261680, + 16863776 + ], + [ + 95247967, + 1656363 + ], + [ + 74723729, + 17136806 + ], + [ + 92865327, + 80815401 + ], + [ + 83519269, + 35563408 + ], + [ + 15013320, + 48550127 + ], + [ + 79270614, + 62675089 + ], + [ + 41354081, + 70970790 + ], + [ + 30911662, + 15671083 + ], + [ + 33726429, + 23916990 + ], + [ + 64317480, + 21127200 + ], + [ + 23429286, + 66403893 + ], + [ + 59709576, + 20010157 + ], + [ + 13011057, + 80612626 + ], + [ + 22165742, + 30273604 + ], + [ + 52796124, + 13781886 + ], + [ + 36672619, + 6044022 + ], + [ + 38619153, + 18199645 + ], + [ + 28947510, + 88499795 + ], + [ + 14332214, + 93846485 + ], + [ + 3356540, + 34686833 + ], + [ + 12727106, + 59835245 + ], + [ + 24183570, + 49979982 + ], + [ + 18496915, + 40078506 + ], + [ + 10933489, + 70169287 + ], + [ + 52135580, + 89206681 + ], + [ + 66137613, + 53097157 + ], + [ + 80562186, + 97754854 + ], + [ + 39981313, + 89143000 + ], + [ + 34586348, + 50751975 + ], + [ + 39623491, + 13710872 + ], + [ + 77021557, + 49204583 + ], + [ + 55217067, + 71415427 + ], + [ + 15339123, + 89440609 + ], + [ + 60054962, + 35309635 + ], + [ + 1175564, + 31649785 + ], + [ + 33864681, + 11319661 + ], + [ + 84164520, + 21105984 + ], + [ + 83194958, + 16067683 + ], + [ + 88212068, + 48517702 + ], + [ + 6323508, + 8235923 + ], + [ + 50012502, + 91988838 + ], + [ + 22726840, + 19909204 + ], + [ + 15319298, + 4247424 + ], + [ + 56748566, + 65022100 + ], + [ + 44395633, + 57988601 + ], + [ + 14013519, + 9541936 + ], + [ + 48360952, + 40087294 + ], + [ + 76420422, + 39037510 + ], + [ + 51620479, + 74972443 + ], + [ + 83175943, + 19381354 + ], + [ + 23517324, + 4592923 + ], + [ + 89570097, + 79239706 + ], + [ + 40382785, + 83081283 + ], + [ + 56118130, + 2626976 + ], + [ + 13981713, + 76413944 + ], + [ + 5775832, + 38810997 + ], + [ + 39148305, + 11283734 + ], + [ + 55865075, + 52622976 + ], + [ + 18074795, + 73768658 + ], + [ + 42172488, + 57127741 + ], + [ + 26653053, + 18625495 + ], + [ + 75305913, + 17078150 + ], + [ + 81822226, + 31675052 + ], + [ + 83986616, + 23210304 + ], + [ + 90093300, + 12600662 + ], + [ + 75107657, + 63424495 + ], + [ + 54158859, + 40970806 + ], + [ + 31852053, + 53419684 + ], + [ + 90505029, + 15927491 + ], + [ + 31096557, + 56460472 + ], + [ + 44052662, + 99957200 + ], + [ + 8811811, + 68609246 + ], + [ + 12031278, + 27052754 + ], + [ + 84724546, + 91962491 + ], + [ + 83774127, + 92871666 + ], + [ + 61973767, + 55264476 + ], + [ + 68213827, + 9648703 + ], + [ + 50225609, + 64125414 + ], + [ + 23019025, + 35185806 + ], + [ + 83984833, + 56214068 + ], + [ + 50479764, + 45181199 + ], + [ + 20724361, + 35997021 + ], + [ + 83062630, + 31568962 + ], + [ + 38500961, + 53645509 + ], + [ + 46071763, + 75312007 + ], + [ + 98731434, + 64135558 + ], + [ + 14931395, + 54937145 + ], + [ + 50070938, + 74951567 + ], + [ + 50942946, + 52014790 + ], + [ + 23360678, + 10272560 + ], + [ + 23400431, + 40347633 + ], + [ + 86110495, + 5731290 + ], + [ + 75375820, + 86484288 + ], + [ + 49600605, + 74961267 + ], + [ + 64860281, + 50559306 + ], + [ + 99427182, + 65269831 + ], + [ + 80553138, + 6252346 + ], + [ + 96433415, + 44294780 + ], + [ + 26359267, + 80569595 + ], + [ + 39502619, + 66698674 + ], + [ + 19588645, + 56212362 + ], + [ + 48930761, + 22426991 + ], + [ + 47861361, + 74770005 + ], + [ + 61046532, + 32662596 + ], + [ + 15381981, + 57953691 + ], + [ + 40441655, + 22311306 + ], + [ + 33204254, + 37489007 + ], + [ + 99993527, + 16318820 + ], + [ + 34593382, + 96682886 + ], + [ + 25654314, + 65998423 + ], + [ + 68758021, + 36504568 + ], + [ + 81899711, + 19074227 + ], + [ + 49946070, + 14522806 + ], + [ + 61860681, + 66601911 + ], + [ + 18315352, + 38493465 + ], + [ + 28872711, + 50555152 + ], + [ + 10692148, + 8185199 + ], + [ + 74724006, + 94358448 + ], + [ + 31735250, + 90210291 + ], + [ + 17104392, + 72594716 + ], + [ + 96608891, + 13676723 + ], + [ + 11733448, + 64327613 + ], + [ + 12751140, + 56522944 + ], + [ + 57100042, + 20850870 + ], + [ + 24150252, + 69296094 + ], + [ + 6418613, + 16136373 + ], + [ + 39488774, + 84935386 + ], + [ + 99428844, + 79100372 + ], + [ + 61625301, + 7023662 + ], + [ + 15463866, + 75098669 + ], + [ + 40572776, + 92431560 + ], + [ + 7940995, + 87156572 + ], + [ + 43339340, + 8375276 + ], + [ + 62066408, + 35882345 + ], + [ + 32002066, + 74041762 + ], + [ + 14081432, + 44344394 + ], + [ + 16662920, + 63000094 + ], + [ + 14597099, + 1393467 + ], + [ + 34378984, + 20661919 + ], + [ + 7383179, + 16313055 + ], + [ + 64246218, + 17813172 + ], + [ + 8573303, + 34677443 + ], + [ + 76529653, + 44967077 + ], + [ + 84906519, + 18715903 + ], + [ + 83602948, + 72368547 + ], + [ + 55462351, + 24136583 + ], + [ + 98240278, + 3848401 + ], + [ + 80718596, + 52874672 + ], + [ + 59582341, + 5317982 + ], + [ + 22861638, + 25203489 + ], + [ + 72603249, + 65194024 + ], + [ + 48796828, + 22100187 + ], + [ + 97237612, + 63917799 + ], + [ + 21111179, + 76927839 + ], + [ + 13735162, + 22777439 + ], + [ + 20436296, + 97838257 + ], + [ + 6324683, + 64557072 + ], + [ + 51336324, + 90141204 + ], + [ + 6290496, + 16938580 + ], + [ + 2233793, + 40190636 + ], + [ + 80879792, + 28858191 + ], + [ + 23999926, + 91054908 + ], + [ + 52236399, + 82257805 + ], + [ + 74864226, + 1235298 + ], + [ + 20251516, + 12713551 + ], + [ + 57705745, + 95237294 + ], + [ + 43540958, + 9117321 + ], + [ + 98841589, + 42878600 + ], + [ + 12159940, + 11341727 + ], + [ + 73969983, + 7046303 + ], + [ + 81342230, + 2197651 + ], + [ + 92248209, + 59069460 + ], + [ + 27895306, + 32334068 + ], + [ + 86003577, + 15471796 + ], + [ + 8207381, + 78585475 + ], + [ + 59519989, + 74403162 + ], + [ + 26004105, + 77745348 + ], + [ + 17737866, + 22966527 + ], + [ + 78484954, + 81612547 + ], + [ + 9002638, + 34707539 + ], + [ + 6572616, + 64143520 + ], + [ + 26319614, + 24812563 + ], + [ + 8738548, + 98666296 + ], + [ + 24349088, + 10626187 + ], + [ + 1462791, + 89915437 + ], + [ + 88856512, + 97135104 + ], + [ + 18353442, + 16466380 + ], + [ + 87199359, + 68505290 + ], + [ + 57424431, + 89234692 + ], + [ + 25941904, + 962917 + ], + [ + 63680612, + 62406249 + ], + [ + 55268243, + 83648035 + ], + [ + 96535178, + 17577170 + ], + [ + 42248662, + 53055428 + ], + [ + 29505204, + 25787295 + ], + [ + 78412031, + 71558386 + ], + [ + 80971294, + 44365901 + ], + [ + 41430366, + 67149359 + ], + [ + 42436803, + 60317547 + ], + [ + 55036272, + 67093448 + ], + [ + 75230085, + 71463137 + ], + [ + 79856253, + 8975174 + ], + [ + 32563851, + 75647721 + ], + [ + 65046802, + 47559685 + ], + [ + 2618160, + 96296032 + ], + [ + 38835386, + 82304561 + ], + [ + 73922661, + 52080812 + ], + [ + 50661891, + 81310559 + ], + [ + 32139840, + 59098313 + ], + [ + 76861258, + 65025198 + ], + [ + 74960776, + 41689595 + ], + [ + 38469565, + 11329278 + ], + [ + 6389687, + 2432588 + ], + [ + 32302387, + 69136684 + ], + [ + 79744512, + 13116536 + ], + [ + 78161234, + 98822295 + ], + [ + 37875906, + 49634610 + ], + [ + 1512511, + 48854901 + ], + [ + 92158484, + 14792901 + ], + [ + 624042, + 36831753 + ], + [ + 28671527, + 87543082 + ], + [ + 78849343, + 62156256 + ], + [ + 70688507, + 74312413 + ], + [ + 14831599, + 71956316 + ], + [ + 34822657, + 42219824 + ], + [ + 68672539, + 31414188 + ], + [ + 23945972, + 65115103 + ], + [ + 96681812, + 55321653 + ], + [ + 25347376, + 68772646 + ], + [ + 58042728, + 18256970 + ], + [ + 22529040, + 7156872 + ], + [ + 12451013, + 17911939 + ], + [ + 38224706, + 68700364 + ], + [ + 82905150, + 92859009 + ], + [ + 1206027, + 83131607 + ], + [ + 61902882, + 15955725 + ], + [ + 6990098, + 90165596 + ], + [ + 58412173, + 77606356 + ], + [ + 39665884, + 20631611 + ], + [ + 81913630, + 65354546 + ], + [ + 64920430, + 31393133 + ], + [ + 14364242, + 45430374 + ], + [ + 80740719, + 64403841 + ], + [ + 38114392, + 31767109 + ], + [ + 7415051, + 29070862 + ], + [ + 69878045, + 60895167 + ], + [ + 24213594, + 75365187 + ], + [ + 74158757, + 83486580 + ], + [ + 34101888, + 97185741 + ], + [ + 34404435, + 20890179 + ], + [ + 7072375, + 12915985 + ], + [ + 27940391, + 82978601 + ], + [ + 80582828, + 30430826 + ], + [ + 20763932, + 41144022 + ], + [ + 79599839, + 7723953 + ], + [ + 17535655, + 59439491 + ], + [ + 64688301, + 30943637 + ], + [ + 76454508, + 97368948 + ], + [ + 99270133, + 88567027 + ], + [ + 33206320, + 63088003 + ], + [ + 37805842, + 20809682 + ], + [ + 7484671, + 77769399 + ], + [ + 77269025, + 17951673 + ], + [ + 40217197, + 88305260 + ], + [ + 78939046, + 82934233 + ], + [ + 45497897, + 10884078 + ], + [ + 21771728, + 40271918 + ], + [ + 264291, + 30665124 + ], + [ + 97234713, + 84892467 + ], + [ + 45211483, + 63338335 + ], + [ + 19405313, + 11652419 + ], + [ + 413222, + 42108295 + ], + [ + 18912891, + 96265639 + ], + [ + 72177605, + 38969617 + ], + [ + 40174771, + 96073401 + ], + [ + 2540694, + 55285537 + ], + [ + 28346654, + 27072610 + ], + [ + 32451375, + 36242947 + ], + [ + 9744843, + 65746038 + ], + [ + 56856305, + 2187200 + ], + [ + 16669175, + 60046541 + ], + [ + 14091128, + 72890392 + ], + [ + 15602871, + 80921323 + ], + [ + 49281900, + 5050896 + ], + [ + 19447426, + 32564942 + ], + [ + 34821201, + 28676208 + ], + [ + 33070887, + 39128915 + ], + [ + 33527699, + 80386989 + ], + [ + 86826680, + 75026003 + ], + [ + 33315679, + 57635974 + ], + [ + 58919389, + 58961601 + ], + [ + 5585359, + 34052296 + ], + [ + 49071745, + 96837688 + ], + [ + 87621320, + 16563754 + ], + [ + 18427298, + 89114216 + ], + [ + 49423409, + 32996547 + ], + [ + 87207500, + 91427438 + ], + [ + 20194557, + 53787390 + ], + [ + 29312892, + 94029667 + ], + [ + 60159729, + 38465843 + ], + [ + 38340179, + 54522806 + ], + [ + 2807821, + 92053760 + ], + [ + 38838644, + 66343869 + ], + [ + 64622219, + 46847737 + ], + [ + 95316716, + 43049420 + ], + [ + 92223879, + 38104756 + ], + [ + 55084865, + 20252325 + ], + [ + 6100777, + 22749444 + ], + [ + 48172891, + 69407575 + ], + [ + 24941527, + 93966232 + ], + [ + 66641623, + 61322492 + ], + [ + 25036164, + 25186578 + ], + [ + 5924442, + 48320601 + ], + [ + 67207608, + 57763872 + ], + [ + 68578352, + 5746133 + ], + [ + 88138871, + 55262547 + ], + [ + 29941677, + 10542290 + ], + [ + 69078458, + 9466283 + ], + [ + 69046706, + 59693003 + ], + [ + 33233842, + 23578128 + ], + [ + 2569986, + 48927780 + ], + [ + 27302079, + 59369221 + ], + [ + 86970967, + 29452924 + ], + [ + 14202940, + 83029993 + ], + [ + 77874292, + 60888358 + ], + [ + 31743574, + 89911393 + ], + [ + 85280860, + 45696815 + ], + [ + 36656501, + 32048321 + ], + [ + 35442670, + 10657860 + ], + [ + 3351717, + 43472021 + ], + [ + 47513125, + 69912918 + ], + [ + 1803925, + 51416858 + ], + [ + 27167351, + 11267242 + ], + [ + 53624435, + 9843008 + ], + [ + 44623550, + 70166569 + ], + [ + 44868504, + 85497159 + ], + [ + 77614162, + 68148788 + ], + [ + 54725584, + 39452907 + ], + [ + 60865987, + 74774039 + ], + [ + 54650019, + 15499122 + ], + [ + 31386620, + 70543286 + ], + [ + 44458730, + 74280127 + ], + [ + 30091528, + 3696415 + ], + [ + 69314767, + 1446805 + ], + [ + 58428681, + 16708396 + ], + [ + 82020155, + 12134562 + ], + [ + 68278522, + 18602369 + ], + [ + 92834471, + 44148606 + ], + [ + 78742388, + 82931874 + ], + [ + 68947608, + 59961957 + ], + [ + 36647328, + 14393732 + ], + [ + 59800871, + 22306384 + ], + [ + 80845479, + 17381104 + ], + [ + 10195370, + 18770374 + ], + [ + 99251941, + 83633358 + ], + [ + 73038764, + 84134776 + ], + [ + 75242508, + 7776998 + ], + [ + 2254223, + 19795160 + ], + [ + 41591121, + 93171239 + ], + [ + 23069745, + 97956815 + ], + [ + 72833060, + 84992155 + ], + [ + 66793656, + 41913210 + ], + [ + 91044615, + 36280142 + ], + [ + 95638813, + 96288040 + ], + [ + 7287694, + 3389989 + ], + [ + 39811583, + 75946004 + ], + [ + 9396339, + 41947287 + ], + [ + 14852342, + 28769989 + ], + [ + 93001436, + 67077914 + ], + [ + 65185362, + 3592320 + ], + [ + 64040954, + 43911783 + ], + [ + 30895851, + 96886322 + ], + [ + 38779664, + 76447033 + ], + [ + 6888890, + 15498746 + ], + [ + 19296622, + 45970210 + ], + [ + 96341708, + 98215891 + ], + [ + 70796039, + 43876750 + ], + [ + 97224386, + 53750278 + ], + [ + 25523597, + 34864298 + ], + [ + 52844841, + 5707795 + ], + [ + 6630073, + 28100320 + ], + [ + 79787695, + 98841026 + ], + [ + 95716039, + 12366725 + ], + [ + 90217467, + 98332568 + ], + [ + 1245828, + 64809631 + ], + [ + 15636695, + 74460466 + ], + [ + 72958321, + 28189643 + ], + [ + 39828792, + 53902329 + ], + [ + 89801990, + 64002243 + ], + [ + 58158004, + 59321786 + ], + [ + 93529632, + 67341125 + ], + [ + 87140843, + 31215408 + ], + [ + 50698199, + 48716920 + ], + [ + 78464097, + 98010612 + ], + [ + 13213284, + 94165033 + ], + [ + 70742659, + 73243224 + ], + [ + 79919648, + 61570356 + ], + [ + 38360444, + 9041213 + ], + [ + 67771840, + 33507213 + ], + [ + 46182773, + 35256159 + ], + [ + 9264352, + 13844945 + ], + [ + 82754572, + 93549197 + ], + [ + 25634558, + 96099479 + ], + [ + 2098244, + 53170497 + ], + [ + 31417889, + 80287563 + ], + [ + 26612700, + 26867201 + ], + [ + 29025841, + 47222511 + ], + [ + 84629571, + 87463208 + ], + [ + 88812721, + 53885506 + ], + [ + 79889953, + 59649966 + ], + [ + 68774272, + 66024946 + ], + [ + 46004782, + 23400019 + ], + [ + 65369916, + 92240209 + ], + [ + 76641034, + 21064154 + ], + [ + 59798573, + 27516730 + ], + [ + 44020848, + 34757832 + ], + [ + 8163665, + 32042376 + ], + [ + 48983759, + 18465903 + ], + [ + 8480759, + 92097126 + ], + [ + 4557819, + 32707076 + ], + [ + 32610643, + 73436222 + ], + [ + 80798621, + 9446180 + ], + [ + 16497138, + 34828997 + ], + [ + 1341652, + 76074331 + ], + [ + 85044313, + 72990657 + ], + [ + 37967386, + 64670922 + ], + [ + 63681331, + 60270260 + ], + [ + 53332080, + 71669438 + ], + [ + 73106166, + 85282269 + ], + [ + 1230759, + 90706813 + ], + [ + 25503061, + 88425718 + ], + [ + 70085018, + 53808053 + ], + [ + 37080777, + 23688980 + ], + [ + 57926927, + 25024864 + ], + [ + 81629165, + 80837307 + ], + [ + 5072029, + 75657234 + ], + [ + 72713333, + 75191160 + ], + [ + 6602865, + 82079504 + ], + [ + 89658596, + 23876346 + ], + [ + 75960061, + 89447604 + ], + [ + 31775975, + 44542330 + ], + [ + 82321981, + 76148124 + ], + [ + 18655121, + 90724595 + ], + [ + 435886, + 96210938 + ], + [ + 58771677, + 76504559 + ], + [ + 94790642, + 78167250 + ], + [ + 10644814, + 20427302 + ], + [ + 92302879, + 37276835 + ], + [ + 91384829, + 34572051 + ], + [ + 8686794, + 7092438 + ], + [ + 83095149, + 44899592 + ], + [ + 46373789, + 59047616 + ], + [ + 70031690, + 79371369 + ], + [ + 60220220, + 12830321 + ], + [ + 27903649, + 82609482 + ], + [ + 13778210, + 98764011 + ], + [ + 4818923, + 24859383 + ], + [ + 49631350, + 66623677 + ], + [ + 20666013, + 59129516 + ], + [ + 10923526, + 23049962 + ], + [ + 46671054, + 28517817 + ], + [ + 68306745, + 91852498 + ], + [ + 28867142, + 64175376 + ], + [ + 69539816, + 17963426 + ], + [ + 32405375, + 47780536 + ], + [ + 4188232, + 4331851 + ], + [ + 89259553, + 83564068 + ], + [ + 68949828, + 79256236 + ], + [ + 74590878, + 52772134 + ], + [ + 41801354, + 43055660 + ], + [ + 94129279, + 37422464 + ], + [ + 12470735, + 23389555 + ], + [ + 6405309, + 56978691 + ], + [ + 68045774, + 99231658 + ], + [ + 97406863, + 9431847 + ], + [ + 49400369, + 3335860 + ], + [ + 40580908, + 54419414 + ], + [ + 69891309, + 50057524 + ], + [ + 57317012, + 17447917 + ], + [ + 28649075, + 21455970 + ], + [ + 18952043, + 43989049 + ], + [ + 54241784, + 39325928 + ], + [ + 93181789, + 78661616 + ], + [ + 83676138, + 79398194 + ], + [ + 13678447, + 84241081 + ], + [ + 79358801, + 77190089 + ], + [ + 5349914, + 76670578 + ], + [ + 11813400, + 70198970 + ], + [ + 63718878, + 36755051 + ], + [ + 45252566, + 72736044 + ], + [ + 40070322, + 56560338 + ], + [ + 38658839, + 28325296 + ], + [ + 4708867, + 9721565 + ], + [ + 12154917, + 94289529 + ], + [ + 98048170, + 28877417 + ], + [ + 96257760, + 68724803 + ], + [ + 80221639, + 92079623 + ], + [ + 19868873, + 84086855 + ], + [ + 84251467, + 29792210 + ], + [ + 62481434, + 55290190 + ], + [ + 82614011, + 75872569 + ], + [ + 82894169, + 40245957 + ], + [ + 52905222, + 5155754 + ], + [ + 73077115, + 9451227 + ], + [ + 5264146, + 3736961 + ], + [ + 23644465, + 40330499 + ], + [ + 56634749, + 1240900 + ], + [ + 64023975, + 66210515 + ], + [ + 95131600, + 80243934 + ], + [ + 94300178, + 61762008 + ], + [ + 24596548, + 28689834 + ], + [ + 50299669, + 46204060 + ], + [ + 8103798, + 89104978 + ], + [ + 92538853, + 20361668 + ], + [ + 46815173, + 11622107 + ], + [ + 99566856, + 2156628 + ], + [ + 56546676, + 92056011 + ], + [ + 82526594, + 70166952 + ], + [ + 45888710, + 27180948 + ], + [ + 61727700, + 76460710 + ], + [ + 92260355, + 3551478 + ], + [ + 28333115, + 27424983 + ], + [ + 9279723, + 11138086 + ], + [ + 60513083, + 67183891 + ], + [ + 37629854, + 74979287 + ], + [ + 84817412, + 47774677 + ], + [ + 4608053, + 17052173 + ], + [ + 3514795, + 21748431 + ], + [ + 7502940, + 2342004 + ], + [ + 75603477, + 25293585 + ], + [ + 25543359, + 40642067 + ], + [ + 9608961, + 48187336 + ], + [ + 96177395, + 84691903 + ], + [ + 15386897, + 26768396 + ], + [ + 64786066, + 91077032 + ], + [ + 75117883, + 88814010 + ], + [ + 89314872, + 8279625 + ], + [ + 22042405, + 16826804 + ], + [ + 8091672, + 21266500 + ], + [ + 12052537, + 79975391 + ], + [ + 7429903, + 69365088 + ], + [ + 78919428, + 86532401 + ], + [ + 70003586, + 78878070 + ], + [ + 26247532, + 37549814 + ], + [ + 69807700, + 48079551 + ], + [ + 87844444, + 9803395 + ], + [ + 8690032, + 63756451 + ], + [ + 86446892, + 51746907 + ], + [ + 20966464, + 52387805 + ], + [ + 79479993, + 72921291 + ], + [ + 40459144, + 26353386 + ], + [ + 58207150, + 77188022 + ], + [ + 80661633, + 21108442 + ], + [ + 83209168, + 95432712 + ], + [ + 71862921, + 71511420 + ], + [ + 79176419, + 51653 + ], + [ + 25729745, + 61475684 + ], + [ + 21777884, + 34158553 + ], + [ + 85496920, + 257900 + ], + [ + 71754290, + 32627533 + ], + [ + 45758992, + 10058446 + ], + [ + 71583968, + 95805587 + ], + [ + 64473775, + 54913938 + ], + [ + 6899680, + 35682832 + ], + [ + 58478867, + 18597448 + ], + [ + 10828543, + 72455456 + ], + [ + 25686168, + 56910629 + ], + [ + 76518788, + 41037651 + ], + [ + 83385534, + 36299322 + ], + [ + 57928619, + 14326834 + ], + [ + 8210153, + 40413654 + ], + [ + 49942519, + 23738241 + ], + [ + 68532011, + 19408246 + ], + [ + 18203128, + 23464919 + ], + [ + 93701319, + 52069155 + ], + [ + 2960080, + 10823342 + ], + [ + 65849362, + 19523324 + ], + [ + 74935130, + 55403827 + ], + [ + 85596055, + 46097774 + ], + [ + 91035221, + 19980990 + ], + [ + 82993648, + 60665530 + ], + [ + 54971291, + 96066078 + ], + [ + 51581779, + 88472977 + ], + [ + 42438979, + 50874543 + ], + [ + 25061710, + 35991869 + ], + [ + 38017486, + 44363273 + ], + [ + 33583493, + 63943142 + ], + [ + 60628800, + 97101221 + ], + [ + 10953066, + 20759931 + ], + [ + 10096292, + 42230394 + ], + [ + 77927383, + 8802620 + ], + [ + 23199798, + 50110118 + ], + [ + 86113684, + 85354736 + ], + [ + 70778829, + 82455687 + ], + [ + 31418581, + 6321085 + ], + [ + 23825670, + 96342360 + ], + [ + 18630554, + 8272078 + ], + [ + 4396737, + 3799088 + ], + [ + 70821153, + 88683414 + ], + [ + 4873676, + 69574330 + ], + [ + 67916697, + 39836828 + ], + [ + 84321766, + 22964647 + ], + [ + 87242430, + 45184474 + ], + [ + 98069986, + 97140414 + ], + [ + 68253053, + 17155541 + ], + [ + 31903511, + 94846075 + ], + [ + 95214169, + 10036329 + ], + [ + 70571865, + 33836060 + ], + [ + 67764807, + 75174814 + ], + [ + 6533927, + 91079784 + ], + [ + 1505083, + 83758013 + ], + [ + 5305802, + 1502739 + ], + [ + 49330765, + 78324280 + ], + [ + 97669462, + 51635618 + ], + [ + 81615754, + 30363394 + ], + [ + 28987654, + 44885254 + ], + [ + 2346551, + 89389594 + ], + [ + 29549277, + 79239486 + ], + [ + 15022751, + 26159929 + ], + [ + 17577665, + 55786663 + ], + [ + 78031331, + 36549497 + ], + [ + 22287260, + 64610326 + ], + [ + 63264441, + 53167437 + ], + [ + 78697417, + 29611514 + ], + [ + 44216979, + 91042091 + ], + [ + 10489409, + 74225623 + ], + [ + 58038585, + 1900529 + ], + [ + 65006316, + 73810860 + ], + [ + 59210514, + 68993956 + ], + [ + 90466094, + 46099386 + ], + [ + 81837650, + 93600329 + ], + [ + 25983708, + 90058284 + ], + [ + 99740684, + 28055492 + ], + [ + 38859190, + 73277848 + ], + [ + 2043253, + 86157294 + ], + [ + 63324531, + 85326615 + ], + [ + 65127312, + 47346082 + ], + [ + 78115831, + 97356932 + ], + [ + 74698884, + 62609535 + ], + [ + 54105353, + 31700968 + ], + [ + 52945544, + 64354729 + ], + [ + 24425179, + 88534887 + ], + [ + 51596035, + 69130782 + ], + [ + 50713347, + 18026137 + ], + [ + 60855326, + 90804184 + ], + [ + 32646825, + 17100803 + ], + [ + 27624648, + 89408011 + ], + [ + 15842508, + 79404061 + ], + [ + 24863698, + 87289451 + ], + [ + 23080388, + 30962575 + ], + [ + 70464956, + 67723225 + ], + [ + 39566897, + 74511970 + ], + [ + 31899978, + 80898249 + ], + [ + 44257954, + 73544636 + ], + [ + 53453847, + 33933600 + ], + [ + 78074001, + 33581826 + ], + [ + 13237158, + 95377177 + ], + [ + 42141813, + 96907959 + ], + [ + 53958864, + 84088025 + ], + [ + 12473960, + 62049318 + ], + [ + 73155864, + 85863598 + ], + [ + 15620632, + 24210677 + ], + [ + 25171674, + 86384186 + ], + [ + 1293164, + 3066187 + ], + [ + 17999804, + 1478680 + ], + [ + 4652329, + 67328732 + ], + [ + 32100601, + 48952923 + ], + [ + 67455092, + 17574665 + ], + [ + 61234847, + 95177326 + ], + [ + 37611292, + 34156818 + ], + [ + 78777060, + 9224629 + ], + [ + 73477971, + 8491700 + ], + [ + 80507122, + 77823916 + ], + [ + 9977378, + 50987173 + ], + [ + 78308882, + 77036890 + ], + [ + 3905129, + 54974891 + ], + [ + 20379156, + 78300377 + ], + [ + 25172864, + 10246721 + ], + [ + 63294494, + 56964486 + ], + [ + 22023386, + 27227604 + ], + [ + 20138969, + 70454083 + ], + [ + 98883575, + 73109456 + ], + [ + 40799365, + 11736462 + ], + [ + 11855403, + 19485672 + ], + [ + 59482222, + 92761600 + ], + [ + 77147568, + 23518973 + ], + [ + 56411133, + 96246732 + ], + [ + 74249358, + 23334840 + ], + [ + 95716138, + 11025331 + ], + [ + 87090184, + 94294628 + ], + [ + 47241046, + 34370868 + ], + [ + 43214912, + 9925004 + ], + [ + 9468151, + 50809591 + ], + [ + 97672585, + 80112833 + ], + [ + 21474833, + 94271780 + ], + [ + 95216203, + 85395968 + ], + [ + 53221441, + 76496123 + ], + [ + 98803790, + 71550134 + ], + [ + 87409846, + 39030532 + ], + [ + 25296541, + 83729789 + ], + [ + 24173124, + 23873881 + ], + [ + 97374662, + 64686910 + ], + [ + 49636642, + 41887043 + ], + [ + 59849109, + 1091829 + ], + [ + 42828065, + 27289692 + ], + [ + 61827662, + 57975464 + ], + [ + 90029135, + 37907505 + ], + [ + 51612038, + 28348883 + ], + [ + 74447338, + 9112582 + ], + [ + 19752737, + 48447884 + ], + [ + 49347140, + 67083857 + ], + [ + 63025568, + 36171024 + ], + [ + 71885925, + 44129863 + ], + [ + 9203760, + 97480778 + ], + [ + 8096811, + 46289156 + ], + [ + 69312616, + 45747206 + ], + [ + 3595756, + 40500717 + ], + [ + 98656494, + 56190647 + ], + [ + 48886018, + 19504191 + ], + [ + 9118786, + 85170179 + ], + [ + 50982748, + 78759016 + ], + [ + 66663169, + 98818577 + ], + [ + 53246548, + 63468381 + ], + [ + 16882928, + 9425615 + ], + [ + 15734286, + 69210559 + ], + [ + 87826757, + 11642317 + ], + [ + 74838840, + 59945304 + ], + [ + 71097197, + 41025870 + ], + [ + 89310428, + 29699747 + ], + [ + 93766931, + 45412456 + ], + [ + 2280644, + 19092689 + ], + [ + 95756706, + 23935420 + ], + [ + 72457943, + 750592 + ], + [ + 92842863, + 72480495 + ], + [ + 87794115, + 56544382 + ], + [ + 10930591, + 44792195 + ], + [ + 56209007, + 24483532 + ], + [ + 35408127, + 87454079 + ], + [ + 26750481, + 29944680 + ], + [ + 43719921, + 35451357 + ], + [ + 13361050, + 79571859 + ], + [ + 70573576, + 52968192 + ], + [ + 98525193, + 56967880 + ], + [ + 87095492, + 97279877 + ], + [ + 60954992, + 72431585 + ], + [ + 36008877, + 82013188 + ], + [ + 78325352, + 89556737 + ], + [ + 90371887, + 98065367 + ], + [ + 55291619, + 31909040 + ], + [ + 60209696, + 51850681 + ], + [ + 99391389, + 9796785 + ], + [ + 12769362, + 14482779 + ], + [ + 68581019, + 1414870 + ], + [ + 43750929, + 25222534 + ], + [ + 11135451, + 75798266 + ], + [ + 83939830, + 72327179 + ], + [ + 3778033, + 33325308 + ], + [ + 60692170, + 10728021 + ], + [ + 43260993, + 4406297 + ], + [ + 33367474, + 50318470 + ], + [ + 42339817, + 42021254 + ], + [ + 38991621, + 18126575 + ], + [ + 14593805, + 64848898 + ], + [ + 2846530, + 60268911 + ], + [ + 70172647, + 9902905 + ], + [ + 24282947, + 17273308 + ], + [ + 14934972, + 35445128 + ], + [ + 92060748, + 18825342 + ], + [ + 52313934, + 57867033 + ], + [ + 54773359, + 38404783 + ], + [ + 19061315, + 31366826 + ], + [ + 20970551, + 90953478 + ], + [ + 72003614, + 49330674 + ], + [ + 99033083, + 86706888 + ], + [ + 32002861, + 78493268 + ], + [ + 9785973, + 83927500 + ], + [ + 37256333, + 88273058 + ], + [ + 15416507, + 62041418 + ], + [ + 95598292, + 44969005 + ], + [ + 34659427, + 4408318 + ], + [ + 95107764, + 78720931 + ], + [ + 35736503, + 65382525 + ], + [ + 38747725, + 41513432 + ], + [ + 4806071, + 50501779 + ], + [ + 82677949, + 7262009 + ], + [ + 94377789, + 18993215 + ], + [ + 97468774, + 52033115 + ], + [ + 42598760, + 90872957 + ], + [ + 92460364, + 55037186 + ], + [ + 521036, + 39600867 + ], + [ + 72537631, + 14830097 + ], + [ + 34016119, + 60995853 + ], + [ + 60677053, + 22733173 + ], + [ + 81599868, + 5785602 + ], + [ + 2934670, + 56615091 + ], + [ + 48532074, + 40091823 + ], + [ + 20335310, + 4367479 + ], + [ + 71546698, + 86338503 + ], + [ + 39093759, + 25262746 + ], + [ + 72051223, + 84417218 + ], + [ + 1834236, + 77483314 + ], + [ + 61175995, + 28316216 + ], + [ + 41523293, + 93475029 + ], + [ + 94304736, + 55813418 + ], + [ + 82657340, + 98651285 + ], + [ + 90269572, + 66001678 + ], + [ + 136658, + 11556425 + ], + [ + 27117709, + 29308088 + ], + [ + 73372069, + 94669049 + ], + [ + 7320928, + 54516310 + ], + [ + 35002999, + 8650670 + ], + [ + 85575000, + 79588011 + ], + [ + 30299628, + 5693748 + ], + [ + 97402633, + 36172704 + ], + [ + 11450018, + 55463615 + ], + [ + 19415699, + 59259237 + ], + [ + 26873494, + 72327904 + ], + [ + 98237761, + 11964797 + ], + [ + 84557380, + 69368668 + ], + [ + 54511246, + 29263737 + ], + [ + 29182648, + 99075220 + ], + [ + 17675419, + 63667539 + ], + [ + 20498935, + 83364715 + ], + [ + 25718499, + 47242941 + ], + [ + 73631977, + 75657700 + ], + [ + 48093837, + 48293475 + ], + [ + 54306513, + 5189775 + ], + [ + 15830069, + 53156912 + ], + [ + 46046836, + 38967574 + ], + [ + 53201382, + 78296268 + ], + [ + 19530042, + 70686596 + ], + [ + 20420775, + 58219074 + ], + [ + 30814766, + 52523536 + ], + [ + 69824384, + 9447228 + ], + [ + 88293706, + 75399102 + ], + [ + 41499040, + 46081303 + ], + [ + 30133853, + 95708998 + ], + [ + 22049737, + 69975342 + ], + [ + 96000081, + 1800981 + ], + [ + 88957970, + 16475788 + ], + [ + 43426571, + 11220325 + ], + [ + 69539757, + 2543836 + ], + [ + 12439412, + 69933840 + ], + [ + 12049799, + 11068289 + ], + [ + 99206294, + 26679472 + ], + [ + 18432324, + 76194350 + ], + [ + 4971770, + 12214545 + ], + [ + 372507, + 8929419 + ], + [ + 52578283, + 43928444 + ], + [ + 642336, + 59409792 + ], + [ + 74346102, + 85967429 + ], + [ + 26586346, + 99076809 + ], + [ + 6807510, + 875665 + ], + [ + 15826568, + 91863918 + ], + [ + 64853826, + 99715602 + ], + [ + 57482001, + 60835702 + ], + [ + 74885114, + 36530169 + ], + [ + 1532841, + 22331196 + ], + [ + 6170888, + 75256824 + ], + [ + 61571229, + 2237645 + ], + [ + 74060735, + 57277384 + ], + [ + 2281365, + 59563984 + ], + [ + 44629633, + 4477779 + ], + [ + 36726389, + 70174154 + ], + [ + 13038715, + 28922954 + ], + [ + 89700889, + 65104373 + ], + [ + 49043155, + 86992494 + ], + [ + 50425992, + 32118222 + ], + [ + 71368253, + 78804213 + ], + [ + 38042035, + 36300673 + ], + [ + 89149387, + 5081076 + ], + [ + 584966, + 45540488 + ], + [ + 75486133, + 6839536 + ], + [ + 68474882, + 19432627 + ], + [ + 20977505, + 21695816 + ], + [ + 87836245, + 30098896 + ], + [ + 22297374, + 29522985 + ], + [ + 74314629, + 93162806 + ], + [ + 90932902, + 24485517 + ], + [ + 71749125, + 87183998 + ], + [ + 45886124, + 80762154 + ], + [ + 86836222, + 20278214 + ], + [ + 84954184, + 71909093 + ], + [ + 95861851, + 60451154 + ], + [ + 59737114, + 43223924 + ], + [ + 1918954, + 97360179 + ], + [ + 24989682, + 61717922 + ], + [ + 52447551, + 9432781 + ], + [ + 89382766, + 68024371 + ], + [ + 95269656, + 14126226 + ], + [ + 57124389, + 57423134 + ], + [ + 8427265, + 71493636 + ], + [ + 86045508, + 91155958 + ], + [ + 14240890, + 4761333 + ], + [ + 47401010, + 46312539 + ], + [ + 56252184, + 23032468 + ], + [ + 59779144, + 44366439 + ], + [ + 47696872, + 20852833 + ], + [ + 3849960, + 47122824 + ], + [ + 64123388, + 59564269 + ], + [ + 43797302, + 55619548 + ], + [ + 57391424, + 2938143 + ], + [ + 90249085, + 18153659 + ], + [ + 7401252, + 4535777 + ], + [ + 62621191, + 82660568 + ], + [ + 14902400, + 12971291 + ], + [ + 81330795, + 76919748 + ], + [ + 29549832, + 35754344 + ], + [ + 42100254, + 73536409 + ], + [ + 34670799, + 50713374 + ], + [ + 46635237, + 23826441 + ], + [ + 24162006, + 8509285 + ], + [ + 32418311, + 71585011 + ], + [ + 16110021, + 52051094 + ], + [ + 5168308, + 98262485 + ], + [ + 17587632, + 97429760 + ], + [ + 37977645, + 89587902 + ], + [ + 59297214, + 22474671 + ], + [ + 26031944, + 52032083 + ], + [ + 15232375, + 54848832 + ], + [ + 57599765, + 86410440 + ], + [ + 16320594, + 30284176 + ], + [ + 32314819, + 75095232 + ], + [ + 27849707, + 48304661 + ], + [ + 96151252, + 73636508 + ], + [ + 11981406, + 36250849 + ], + [ + 950876, + 50533042 + ], + [ + 68816321, + 76604876 + ], + [ + 5155033, + 9870209 + ], + [ + 1711856, + 59717041 + ], + [ + 28056622, + 33751963 + ], + [ + 42182041, + 92471513 + ], + [ + 42705104, + 18222517 + ], + [ + 8771898, + 66020806 + ], + [ + 12170373, + 75979964 + ], + [ + 1851216, + 73698128 + ], + [ + 98772950, + 4477887 + ], + [ + 10889442, + 88377524 + ], + [ + 65146137, + 49988280 + ], + [ + 31736310, + 10644235 + ], + [ + 50812384, + 54583160 + ], + [ + 60193718, + 47800468 + ], + [ + 58388741, + 54805576 + ], + [ + 7288963, + 67187991 + ], + [ + 30665994, + 74667944 + ], + [ + 47655045, + 2887469 + ], + [ + 74012350, + 72037813 + ], + [ + 22730617, + 16435278 + ], + [ + 9385872, + 76731362 + ], + [ + 34298038, + 16642409 + ], + [ + 13566093, + 70657370 + ], + [ + 74590982, + 9348003 + ], + [ + 14076474, + 21163684 + ], + [ + 47183106, + 38627579 + ], + [ + 70716035, + 92650454 + ], + [ + 15322720, + 35346280 + ], + [ + 25814158, + 43530331 + ], + [ + 3370385, + 27159157 + ], + [ + 19645669, + 9988236 + ], + [ + 84201283, + 3594733 + ], + [ + 47379469, + 7917211 + ], + [ + 59284822, + 967526 + ], + [ + 18135075, + 74828113 + ], + [ + 7838366, + 71313732 + ], + [ + 29933792, + 34639000 + ], + [ + 69480296, + 32863350 + ], + [ + 13013190, + 88563292 + ], + [ + 58848903, + 36179262 + ], + [ + 66932879, + 35300667 + ], + [ + 48118519, + 99226948 + ], + [ + 42911895, + 99134897 + ], + [ + 27541169, + 64115997 + ], + [ + 30572672, + 44828127 + ], + [ + 53270940, + 68849229 + ], + [ + 55823370, + 20056672 + ], + [ + 78021076, + 43839265 + ], + [ + 44093977, + 12070717 + ], + [ + 66740911, + 40367112 + ], + [ + 11447932, + 26679442 + ], + [ + 37735492, + 51989818 + ], + [ + 81307564, + 99399551 + ], + [ + 90460506, + 47901380 + ], + [ + 92694754, + 26004287 + ], + [ + 19159605, + 33917454 + ], + [ + 98323927, + 61118108 + ], + [ + 93360522, + 905518 + ], + [ + 35420276, + 99674887 + ], + [ + 70748421, + 16109251 + ], + [ + 78746404, + 91561977 + ], + [ + 98795268, + 52995138 + ], + [ + 18397075, + 10209589 + ], + [ + 53414361, + 80237589 + ], + [ + 72411606, + 72154642 + ], + [ + 93400770, + 1137259 + ], + [ + 42610358, + 62791625 + ], + [ + 5372942, + 33419804 + ], + [ + 81234957, + 21103955 + ], + [ + 52875697, + 7485624 + ], + [ + 6957879, + 66666437 + ], + [ + 16955998, + 83007076 + ], + [ + 48440500, + 69369405 + ], + [ + 53709944, + 87689999 + ], + [ + 31790651, + 60346242 + ], + [ + 90859166, + 60323687 + ], + [ + 7257318, + 4906725 + ], + [ + 89427261, + 97307482 + ], + [ + 66875756, + 12617751 + ], + [ + 35346684, + 68832783 + ], + [ + 40729677, + 8818131 + ], + [ + 61966793, + 17109943 + ], + [ + 62778400, + 58266263 + ], + [ + 1014047, + 31336548 + ], + [ + 25074595, + 68493886 + ], + [ + 48548873, + 85629698 + ], + [ + 55474311, + 54633701 + ], + [ + 65490161, + 61626253 + ], + [ + 21295530, + 40316105 + ], + [ + 59630241, + 28703314 + ], + [ + 45168977, + 4798297 + ], + [ + 84368953, + 2731586 + ], + [ + 95657580, + 44294503 + ], + [ + 11121471, + 84628809 + ], + [ + 60008688, + 3740254 + ], + [ + 5426949, + 42325100 + ], + [ + 73996905, + 83770028 + ], + [ + 60032773, + 47316944 + ], + [ + 17722408, + 22705388 + ], + [ + 80465533, + 79058295 + ], + [ + 74510099, + 30100964 + ], + [ + 96407156, + 34539085 + ], + [ + 76400927, + 23322935 + ], + [ + 53515789, + 7691674 + ], + [ + 84507646, + 50946218 + ], + [ + 24759396, + 22263396 + ], + [ + 80648187, + 73593753 + ], + [ + 21370980, + 27354868 + ], + [ + 47600560, + 31199586 + ], + [ + 59321328, + 5768821 + ], + [ + 63916841, + 41918463 + ], + [ + 5244430, + 65799534 + ], + [ + 70882538, + 45229860 + ], + [ + 80279615, + 45673058 + ], + [ + 90319727, + 35574852 + ], + [ + 80976985, + 63764613 + ], + [ + 55462120, + 99404950 + ], + [ + 17246373, + 43918174 + ], + [ + 51016701, + 72341399 + ], + [ + 54225633, + 27271099 + ], + [ + 99982023, + 17571753 + ], + [ + 56358638, + 1796983 + ], + [ + 48916510, + 81732560 + ], + [ + 10127279, + 2091935 + ], + [ + 38353077, + 4166053 + ], + [ + 472511, + 4386046 + ], + [ + 28255222, + 7684865 + ], + [ + 25644926, + 24455193 + ], + [ + 45178939, + 83865489 + ], + [ + 37738508, + 24979627 + ], + [ + 10576619, + 94993513 + ], + [ + 66476429, + 4818361 + ], + [ + 33568825, + 194464 + ], + [ + 76788372, + 72337191 + ], + [ + 42062376, + 58136451 + ], + [ + 75895178, + 92325938 + ], + [ + 79498787, + 98949969 + ], + [ + 6556769, + 95789021 + ], + [ + 93910922, + 57312266 + ], + [ + 22178735, + 78376679 + ], + [ + 97395383, + 20273650 + ], + [ + 5105224, + 28986328 + ], + [ + 53642535, + 89288582 + ], + [ + 32120203, + 57048067 + ], + [ + 37338749, + 14427409 + ], + [ + 78945801, + 51871116 + ], + [ + 61316033, + 50123823 + ], + [ + 25835136, + 59466576 + ], + [ + 19131738, + 25472708 + ], + [ + 68731955, + 71807409 + ], + [ + 27470071, + 94736974 + ], + [ + 51380683, + 99741120 + ], + [ + 80135947, + 57593548 + ], + [ + 34398396, + 81417745 + ], + [ + 6197849, + 89872443 + ], + [ + 26934306, + 65509992 + ], + [ + 62253064, + 40163907 + ], + [ + 53476347, + 94683715 + ], + [ + 12212734, + 27905994 + ], + [ + 42301774, + 22431835 + ], + [ + 76670958, + 3817865 + ], + [ + 30232939, + 22201546 + ], + [ + 58567564, + 90595751 + ], + [ + 94370781, + 54803092 + ], + [ + 43276665, + 22931372 + ], + [ + 46175818, + 48000992 + ], + [ + 1978256, + 66449437 + ], + [ + 81200460, + 93426550 + ], + [ + 90349085, + 43997577 + ], + [ + 76279269, + 10957919 + ], + [ + 60454056, + 11205965 + ], + [ + 12836481, + 85609560 + ], + [ + 98058593, + 22027667 + ], + [ + 33895943, + 75821916 + ], + [ + 12773256, + 85767665 + ], + [ + 993168, + 63542768 + ], + [ + 61632735, + 69437472 + ], + [ + 89307383, + 5489004 + ], + [ + 52452662, + 2416544 + ], + [ + 95917835, + 15825542 + ], + [ + 41903688, + 17428670 + ], + [ + 3360166, + 8887554 + ], + [ + 67587961, + 81258509 + ], + [ + 79738737, + 76502180 + ], + [ + 77864476, + 76566844 + ], + [ + 9522939, + 13831796 + ], + [ + 59863572, + 28843804 + ], + [ + 77574364, + 89516395 + ], + [ + 64772760, + 37804959 + ], + [ + 73045600, + 80088848 + ], + [ + 21608301, + 30717412 + ], + [ + 98126506, + 62525868 + ], + [ + 86177027, + 34063194 + ], + [ + 54647008, + 80876361 + ], + [ + 67688154, + 61307792 + ], + [ + 68272703, + 36810336 + ], + [ + 51394510, + 68244635 + ], + [ + 31217107, + 62487464 + ], + [ + 53980130, + 4606495 + ], + [ + 11191203, + 38013784 + ], + [ + 99853466, + 75604791 + ], + [ + 36893669, + 81403690 + ], + [ + 59784169, + 52192039 + ], + [ + 79614455, + 1045293 + ], + [ + 32863352, + 21155405 + ], + [ + 18250289, + 32974013 + ], + [ + 67844576, + 4035763 + ], + [ + 18127959, + 327006 + ], + [ + 69402590, + 32154315 + ], + [ + 57471197, + 5202994 + ], + [ + 56319377, + 11576084 + ], + [ + 36907452, + 38223858 + ], + [ + 85055912, + 2969884 + ], + [ + 87374941, + 68030378 + ], + [ + 32726454, + 64576756 + ], + [ + 21539700, + 19415817 + ], + [ + 49474063, + 80248923 + ], + [ + 12002008, + 7459162 + ], + [ + 959511, + 42957509 + ], + [ + 19701010, + 5186526 + ], + [ + 68595906, + 63607903 + ], + [ + 8026070, + 30431981 + ], + [ + 97275318, + 42204800 + ], + [ + 54971531, + 80364010 + ], + [ + 67192013, + 73808612 + ], + [ + 3620448, + 53046235 + ], + [ + 39252649, + 37508644 + ], + [ + 52997440, + 39812338 + ], + [ + 15555592, + 83277507 + ], + [ + 54251330, + 92397557 + ], + [ + 75582394, + 68354022 + ], + [ + 33591032, + 89260089 + ], + [ + 45195226, + 41959518 + ], + [ + 11756078, + 1382426 + ], + [ + 2748461, + 62397638 + ], + [ + 65900651, + 95470627 + ], + [ + 4675294, + 45615791 + ], + [ + 74012978, + 83865584 + ], + [ + 82955360, + 99649720 + ], + [ + 4691290, + 86978757 + ], + [ + 34237455, + 49676141 + ], + [ + 5325943, + 18729466 + ], + [ + 2743524, + 74775011 + ], + [ + 50787786, + 10112794 + ], + [ + 65226103, + 14726989 + ], + [ + 90167079, + 7809893 + ], + [ + 60030848, + 6598201 + ], + [ + 37220408, + 96250294 + ], + [ + 19415805, + 39761081 + ], + [ + 31062012, + 18948013 + ], + [ + 19002743, + 39124713 + ], + [ + 40279910, + 97785743 + ], + [ + 50207567, + 57877931 + ], + [ + 85467676, + 3711999 + ], + [ + 83429856, + 18575021 + ], + [ + 74189790, + 45686391 + ], + [ + 48823744, + 1265064 + ], + [ + 34766666, + 95439879 + ], + [ + 34500427, + 86893879 + ], + [ + 85312143, + 17047581 + ], + [ + 6341744, + 22237833 + ], + [ + 32033311, + 80944624 + ], + [ + 23141473, + 39486944 + ], + [ + 58415441, + 77459547 + ], + [ + 48805, + 18776748 + ], + [ + 17587879, + 3855395 + ], + [ + 24105633, + 64967294 + ], + [ + 3484982, + 89061015 + ], + [ + 18742081, + 39308770 + ], + [ + 74712268, + 65200155 + ], + [ + 52162475, + 91587539 + ], + [ + 847213, + 2251993 + ], + [ + 26367361, + 13212709 + ], + [ + 18999169, + 65166251 + ], + [ + 19771900, + 34503220 + ], + [ + 14276742, + 51098909 + ], + [ + 66213995, + 97625295 + ], + [ + 34282808, + 12165123 + ], + [ + 42160748, + 67382842 + ], + [ + 14809819, + 68728185 + ], + [ + 40178120, + 89662363 + ], + [ + 69360732, + 32173542 + ], + [ + 72115041, + 4284736 + ], + [ + 83368714, + 44591925 + ], + [ + 53209931, + 27736960 + ], + [ + 91105587, + 8986184 + ], + [ + 17621681, + 81572360 + ], + [ + 92153475, + 4111650 + ], + [ + 49967902, + 22060764 + ], + [ + 27867562, + 56988356 + ], + [ + 80356579, + 24809894 + ], + [ + 66598724, + 70188259 + ], + [ + 575011, + 76819516 + ], + [ + 18450894, + 99842826 + ], + [ + 73820375, + 10082362 + ], + [ + 72480085, + 26051671 + ], + [ + 40812889, + 14187151 + ], + [ + 32415080, + 48297099 + ], + [ + 28152226, + 11219448 + ], + [ + 49391654, + 14472287 + ], + [ + 94058710, + 19998286 + ], + [ + 93313489, + 85195075 + ], + [ + 37374209, + 14732081 + ], + [ + 88540297, + 976518 + ], + [ + 13246904, + 57322608 + ], + [ + 4962956, + 1961398 + ], + [ + 91274804, + 31002182 + ], + [ + 11088035, + 2802944 + ], + [ + 61513432, + 58884840 + ], + [ + 20467656, + 7165449 + ], + [ + 49124144, + 637492 + ], + [ + 15791793, + 28543984 + ], + [ + 44847337, + 9829973 + ], + [ + 85211755, + 64278118 + ], + [ + 97402108, + 49938905 + ], + [ + 42554692, + 83059459 + ], + [ + 97913033, + 33533613 + ], + [ + 28021387, + 98377560 + ], + [ + 78862857, + 85007329 + ], + [ + 84401585, + 10787197 + ], + [ + 19586903, + 33801945 + ], + [ + 66923742, + 11862710 + ], + [ + 62495002, + 78326073 + ], + [ + 57592741, + 81393185 + ], + [ + 67242022, + 69978937 + ], + [ + 48968362, + 96516088 + ], + [ + 28704952, + 72314543 + ], + [ + 81177482, + 34574593 + ], + [ + 70349669, + 61872294 + ], + [ + 8003198, + 43765654 + ], + [ + 98910428, + 84173554 + ], + [ + 61622640, + 90133277 + ], + [ + 55375904, + 21187624 + ], + [ + 46873596, + 58469378 + ], + [ + 83969212, + 48700797 + ], + [ + 63232424, + 43583350 + ], + [ + 54993675, + 92171106 + ], + [ + 73522891, + 94741273 + ], + [ + 20503658, + 31271822 + ], + [ + 63923471, + 25917689 + ], + [ + 47678774, + 30264543 + ], + [ + 85445824, + 39017213 + ], + [ + 57782254, + 43556223 + ], + [ + 67657426, + 45820843 + ], + [ + 26961475, + 91132322 + ], + [ + 96078328, + 73477521 + ], + [ + 54209330, + 17406737 + ], + [ + 69675206, + 79058028 + ], + [ + 47241374, + 10286510 + ], + [ + 68409843, + 7132266 + ], + [ + 88466946, + 99868355 + ], + [ + 51859540, + 6481008 + ], + [ + 96097406, + 811776 + ], + [ + 7231643, + 36266448 + ], + [ + 68536575, + 55119133 + ], + [ + 60381083, + 49914966 + ], + [ + 85896594, + 9148152 + ], + [ + 9224902, + 26407055 + ], + [ + 84003117, + 60394026 + ], + [ + 62225978, + 53007838 + ], + [ + 48599004, + 56459271 + ], + [ + 19984749, + 90411570 + ], + [ + 76046189, + 88027007 + ], + [ + 59988983, + 71053504 + ], + [ + 11890025, + 19163902 + ], + [ + 85133023, + 75591731 + ], + [ + 68276344, + 53986243 + ], + [ + 46835, + 7036864 + ], + [ + 3783721, + 63687195 + ], + [ + 26696475, + 45814030 + ], + [ + 3424653, + 9543272 + ], + [ + 64462647, + 67521537 + ], + [ + 38228021, + 26700891 + ], + [ + 69895545, + 9677165 + ], + [ + 47181100, + 67417914 + ], + [ + 23002054, + 75415704 + ], + [ + 45335727, + 89608001 + ], + [ + 77741249, + 49130752 + ], + [ + 35753844, + 63557332 + ], + [ + 14017390, + 73517332 + ], + [ + 64499175, + 33491216 + ], + [ + 31553873, + 175202 + ], + [ + 20676699, + 27228099 + ], + [ + 50418310, + 55553220 + ], + [ + 14524902, + 77843020 + ], + [ + 70828660, + 88976495 + ], + [ + 95739786, + 54303968 + ], + [ + 79375445, + 38452171 + ], + [ + 9231869, + 67888339 + ], + [ + 14980492, + 76789581 + ], + [ + 51145629, + 70075323 + ], + [ + 53929940, + 92634459 + ], + [ + 60946991, + 66587497 + ], + [ + 64381858, + 71820014 + ], + [ + 35447266, + 17165083 + ], + [ + 43947716, + 23783707 + ], + [ + 99873881, + 23754107 + ], + [ + 80915017, + 75953870 + ], + [ + 74075879, + 69128396 + ], + [ + 28115745, + 61322373 + ], + [ + 24075061, + 44188565 + ], + [ + 77547802, + 59368465 + ], + [ + 4471145, + 33540516 + ], + [ + 35992314, + 88298556 + ], + [ + 11721877, + 36248342 + ], + [ + 82510960, + 24297196 + ], + [ + 15929738, + 45777230 + ], + [ + 17016915, + 74807999 + ], + [ + 44880996, + 98827650 + ], + [ + 56183819, + 8597112 + ], + [ + 13114580, + 34935502 + ], + [ + 92751535, + 17162048 + ], + [ + 5639657, + 95831621 + ], + [ + 31923581, + 72300852 + ], + [ + 15598926, + 519391 + ], + [ + 984023, + 15990035 + ], + [ + 36472635, + 20238370 + ], + [ + 64308257, + 92629634 + ], + [ + 76805649, + 41175975 + ], + [ + 85352058, + 92156589 + ], + [ + 45048609, + 7920054 + ], + [ + 84876446, + 10687004 + ], + [ + 81731060, + 88546394 + ], + [ + 31239445, + 92301694 + ], + [ + 64190472, + 95084658 + ], + [ + 73400384, + 80198774 + ], + [ + 50234086, + 58805817 + ], + [ + 31923063, + 31324767 + ], + [ + 39930406, + 27537598 + ], + [ + 44713548, + 24732611 + ], + [ + 77691431, + 22425041 + ], + [ + 50601103, + 84449610 + ], + [ + 11869053, + 3093884 + ], + [ + 23071596, + 25962462 + ], + [ + 66911703, + 92327525 + ], + [ + 51115059, + 11401658 + ], + [ + 75962755, + 64465388 + ], + [ + 57407559, + 86660071 + ], + [ + 44252556, + 6723168 + ], + [ + 18501868, + 32365489 + ], + [ + 39346124, + 1506582 + ], + [ + 90937517, + 65001534 + ], + [ + 71343529, + 28772109 + ], + [ + 37559583, + 17791926 + ], + [ + 67315637, + 64778651 + ], + [ + 43538436, + 14686487 + ], + [ + 42236822, + 90606665 + ], + [ + 28191775, + 36168232 + ], + [ + 94237117, + 67798524 + ], + [ + 81801075, + 75557584 + ], + [ + 18150734, + 39297347 + ], + [ + 65243233, + 30507976 + ], + [ + 50298307, + 26861965 + ], + [ + 37046400, + 19053981 + ], + [ + 73175819, + 16085601 + ], + [ + 67740973, + 33693795 + ], + [ + 20993254, + 94843190 + ], + [ + 48123086, + 74256255 + ], + [ + 39494185, + 81157516 + ], + [ + 35842794, + 7887073 + ], + [ + 53217310, + 30720460 + ], + [ + 47858124, + 57090615 + ], + [ + 85935147, + 55953807 + ], + [ + 75482344, + 64243852 + ], + [ + 942226, + 59339166 + ], + [ + 38929311, + 62824765 + ], + [ + 13640768, + 52268245 + ], + [ + 70425696, + 23587283 + ], + [ + 5152581, + 47995857 + ], + [ + 82985151, + 56135343 + ], + [ + 56584521, + 23432826 + ], + [ + 41758988, + 76040919 + ], + [ + 70957054, + 19967102 + ], + [ + 73130547, + 71459548 + ], + [ + 50346216, + 64995601 + ], + [ + 63602172, + 81776078 + ], + [ + 72864998, + 94699228 + ], + [ + 44726550, + 15568829 + ], + [ + 75461366, + 87516948 + ], + [ + 26890295, + 26375635 + ], + [ + 6829733, + 65016456 + ], + [ + 65381395, + 96275810 + ], + [ + 16971512, + 36695715 + ], + [ + 41923967, + 8574395 + ], + [ + 65474970, + 89132868 + ], + [ + 6933080, + 68887502 + ], + [ + 31862726, + 43700270 + ], + [ + 14295134, + 18671362 + ], + [ + 94702668, + 98770450 + ], + [ + 44823718, + 17836676 + ], + [ + 80400437, + 84433229 + ], + [ + 55146092, + 58149255 + ], + [ + 92516631, + 61463060 + ], + [ + 41077723, + 81626539 + ], + [ + 28005779, + 64972717 + ], + [ + 72802512, + 74891399 + ], + [ + 48465620, + 21090493 + ], + [ + 82537670, + 56907181 + ], + [ + 36022012, + 68839368 + ], + [ + 67969292, + 58064845 + ], + [ + 61871116, + 13259332 + ], + [ + 67763385, + 92061279 + ], + [ + 78508761, + 84402871 + ], + [ + 44521004, + 41111000 + ], + [ + 46205740, + 63256713 + ], + [ + 24800533, + 34394327 + ], + [ + 94655224, + 91071744 + ], + [ + 5918352, + 8228389 + ], + [ + 86984071, + 51646481 + ], + [ + 53155156, + 98350862 + ], + [ + 52883504, + 36147091 + ], + [ + 93269288, + 30923404 + ], + [ + 79474618, + 42611244 + ], + [ + 2619398, + 40468745 + ], + [ + 65449230, + 40293484 + ], + [ + 6140231, + 68722894 + ], + [ + 18187482, + 66097024 + ], + [ + 17291566, + 45766437 + ], + [ + 54986465, + 44464583 + ], + [ + 17281109, + 48215168 + ], + [ + 38176645, + 61743137 + ], + [ + 26654518, + 50571301 + ], + [ + 70980717, + 2896541 + ], + [ + 23283263, + 88759467 + ], + [ + 67185938, + 77070266 + ], + [ + 30370021, + 27478233 + ], + [ + 58779008, + 33628776 + ], + [ + 45747543, + 21860673 + ], + [ + 9516376, + 41407482 + ], + [ + 88281529, + 17931759 + ], + [ + 16995548, + 58704355 + ], + [ + 56169077, + 93494486 + ], + [ + 70577114, + 29109934 + ], + [ + 17632452, + 82533852 + ], + [ + 13316344, + 55737776 + ], + [ + 32859087, + 18852148 + ], + [ + 40316738, + 66261389 + ], + [ + 35343828, + 66626263 + ], + [ + 22464469, + 35597182 + ], + [ + 45478058, + 32904601 + ], + [ + 53841816, + 28835280 + ], + [ + 24256675, + 14668191 + ], + [ + 66997396, + 61813524 + ], + [ + 37450735, + 47527251 + ], + [ + 50047318, + 93869511 + ], + [ + 11382602, + 59032625 + ], + [ + 93781391, + 13209850 + ], + [ + 82780052, + 88224605 + ], + [ + 42471058, + 13617338 + ], + [ + 50474471, + 5042359 + ], + [ + 66328874, + 7867054 + ], + [ + 32799893, + 98191762 + ], + [ + 93302435, + 5068907 + ], + [ + 25291241, + 68042729 + ], + [ + 53927935, + 74104405 + ], + [ + 70245137, + 14100714 + ], + [ + 51360896, + 20848178 + ], + [ + 92046375, + 24827204 + ], + [ + 89395829, + 11499332 + ], + [ + 16603654, + 58341121 + ], + [ + 58160283, + 89793960 + ], + [ + 4542328, + 26378213 + ], + [ + 71320285, + 57851534 + ], + [ + 53494869, + 43049088 + ], + [ + 33124539, + 71292622 + ], + [ + 63235080, + 34665967 + ], + [ + 40436662, + 46080014 + ], + [ + 55778825, + 23617910 + ], + [ + 37455989, + 13204904 + ], + [ + 76690077, + 74173976 + ], + [ + 92594939, + 44673032 + ], + [ + 89901589, + 19564511 + ], + [ + 86568929, + 69272536 + ], + [ + 43819762, + 6499248 + ], + [ + 39701468, + 89552332 + ], + [ + 68039848, + 5918656 + ], + [ + 21214538, + 58456514 + ], + [ + 73777472, + 31820906 + ], + [ + 4543905, + 66891057 + ], + [ + 65859366, + 13366630 + ], + [ + 9213271, + 94299553 + ], + [ + 6190454, + 91130333 + ], + [ + 30552037, + 26239389 + ], + [ + 31675406, + 45302182 + ], + [ + 2300329, + 93588126 + ], + [ + 39684181, + 78923870 + ], + [ + 17683653, + 54309973 + ], + [ + 49342208, + 18500587 + ], + [ + 17388840, + 35049926 + ], + [ + 88667030, + 21941051 + ], + [ + 45781082, + 44540403 + ], + [ + 72027390, + 56804221 + ], + [ + 73544058, + 2223026 + ], + [ + 5775448, + 99138473 + ], + [ + 85314946, + 81308585 + ], + [ + 95482932, + 80951376 + ], + [ + 50771591, + 34644446 + ], + [ + 14295774, + 17231108 + ], + [ + 69956535, + 37374741 + ], + [ + 35911762, + 6465023 + ], + [ + 3088805, + 76465174 + ], + [ + 29882447, + 99144368 + ], + [ + 46471278, + 88361766 + ], + [ + 96248912, + 51151530 + ], + [ + 89297023, + 26539621 + ], + [ + 27914071, + 18041254 + ], + [ + 86754924, + 25472022 + ], + [ + 97466923, + 28536604 + ], + [ + 47513285, + 22191008 + ], + [ + 19561034, + 21002195 + ], + [ + 37079288, + 93463469 + ], + [ + 3266815, + 54116115 + ], + [ + 47782461, + 22057497 + ], + [ + 86566388, + 94709889 + ], + [ + 27971662, + 82910900 + ], + [ + 77261743, + 67419433 + ], + [ + 81951799, + 37553892 + ], + [ + 62915188, + 2096686 + ], + [ + 52259129, + 88233172 + ], + [ + 23283209, + 10158125 + ], + [ + 5210923, + 96791969 + ], + [ + 22130117, + 77225498 + ], + [ + 14721282, + 45427 + ], + [ + 40523250, + 29114141 + ], + [ + 80252452, + 44071609 + ], + [ + 95063078, + 69897158 + ], + [ + 58549485, + 12440767 + ], + [ + 42288190, + 20669358 + ], + [ + 22784263, + 62517825 + ], + [ + 74557777, + 91917361 + ], + [ + 45182403, + 45116815 + ], + [ + 19269369, + 63616469 + ], + [ + 35079246, + 58729108 + ], + [ + 67017755, + 60827494 + ], + [ + 36197657, + 77317057 + ], + [ + 71954605, + 59409097 + ], + [ + 84984900, + 34831984 + ], + [ + 76664442, + 43847895 + ], + [ + 70269807, + 31710055 + ], + [ + 55807310, + 15311592 + ], + [ + 41007312, + 80020552 + ], + [ + 24088472, + 14494788 + ], + [ + 41940403, + 43976635 + ], + [ + 49318955, + 83192161 + ], + [ + 40143384, + 28193630 + ], + [ + 31651191, + 60583114 + ], + [ + 59115307, + 64749179 + ], + [ + 63501048, + 3886403 + ], + [ + 95961718, + 92770749 + ], + [ + 87099299, + 7354353 + ], + [ + 80822553, + 91880957 + ], + [ + 91221620, + 59992470 + ], + [ + 5779247, + 74209998 + ], + [ + 11584212, + 32323565 + ], + [ + 21547462, + 79656999 + ], + [ + 94766299, + 9736534 + ], + [ + 9053371, + 78871671 + ], + [ + 62715148, + 95728762 + ], + [ + 63989517, + 17337466 + ], + [ + 53841187, + 36686342 + ], + [ + 33374711, + 28460658 + ], + [ + 1149489, + 87836536 + ], + [ + 64498845, + 65960084 + ], + [ + 73266416, + 30070374 + ], + [ + 49732174, + 22708296 + ], + [ + 63316114, + 45787022 + ], + [ + 38191316, + 85268692 + ], + [ + 65459932, + 91997842 + ], + [ + 60893309, + 63055212 + ], + [ + 50611521, + 64387688 + ], + [ + 45334962, + 59244299 + ], + [ + 73934991, + 8699939 + ], + [ + 89423286, + 44879966 + ], + [ + 82714025, + 23844105 + ], + [ + 24881295, + 51479608 + ], + [ + 96317009, + 91382581 + ], + [ + 62786979, + 91035103 + ], + [ + 25789612, + 30504970 + ], + [ + 98216194, + 26808797 + ], + [ + 40541313, + 63541712 + ], + [ + 87419227, + 74945268 + ], + [ + 5546380, + 23597891 + ], + [ + 63396778, + 82984659 + ], + [ + 25227426, + 43950186 + ], + [ + 89725739, + 75352281 + ], + [ + 60385016, + 89254717 + ], + [ + 76968046, + 10576941 + ], + [ + 27192697, + 78997693 + ], + [ + 4288173, + 11305314 + ], + [ + 89655778, + 38336582 + ], + [ + 46153273, + 16331006 + ], + [ + 32595325, + 30419956 + ], + [ + 84540334, + 56012096 + ], + [ + 81605966, + 18507647 + ], + [ + 39749397, + 52822609 + ], + [ + 70185305, + 77739814 + ], + [ + 60437116, + 14073729 + ], + [ + 44145738, + 35692436 + ], + [ + 53745669, + 26737333 + ], + [ + 69101095, + 38614896 + ], + [ + 3358140, + 32448118 + ], + [ + 52834120, + 38683850 + ], + [ + 47091300, + 99191045 + ], + [ + 42956801, + 87971538 + ], + [ + 87770895, + 32143426 + ], + [ + 60499950, + 2066225 + ], + [ + 84444411, + 3440547 + ], + [ + 18734665, + 47146536 + ], + [ + 50648840, + 27395511 + ], + [ + 23776703, + 65679683 + ], + [ + 19465187, + 7366 + ], + [ + 94092425, + 48860213 + ], + [ + 36277358, + 81618025 + ], + [ + 99225004, + 88396853 + ], + [ + 22866333, + 62956788 + ], + [ + 27808295, + 85903159 + ], + [ + 70545740, + 46217680 + ], + [ + 1213292, + 52215303 + ], + [ + 59513664, + 32977770 + ], + [ + 49933063, + 54570970 + ], + [ + 82872553, + 15348124 + ], + [ + 95878514, + 21687061 + ], + [ + 77301221, + 87819941 + ], + [ + 4412569, + 90250362 + ], + [ + 32301849, + 50661323 + ], + [ + 94637407, + 46446787 + ], + [ + 30309765, + 58778136 + ], + [ + 82952883, + 50539485 + ], + [ + 48073976, + 14731077 + ], + [ + 39111066, + 61294972 + ], + [ + 2098175, + 87220583 + ], + [ + 92214576, + 56003650 + ], + [ + 20744270, + 27948842 + ], + [ + 20004141, + 98957583 + ], + [ + 73789093, + 9428045 + ], + [ + 93384058, + 28694828 + ], + [ + 3664039, + 39761758 + ], + [ + 14013523, + 30327841 + ], + [ + 93020974, + 46345011 + ], + [ + 58939837, + 57935295 + ], + [ + 19587007, + 10356008 + ], + [ + 27645435, + 25717541 + ], + [ + 80120780, + 90667931 + ], + [ + 32018259, + 57683329 + ], + [ + 2176419, + 43217913 + ], + [ + 32364714, + 26736095 + ], + [ + 2330907, + 34435330 + ], + [ + 9420291, + 40187560 + ], + [ + 77477647, + 44565573 + ], + [ + 85781091, + 800019 + ], + [ + 8614098, + 89580780 + ], + [ + 40852618, + 12357805 + ], + [ + 8042542, + 47495015 + ], + [ + 79732480, + 97439083 + ], + [ + 5329897, + 62556980 + ], + [ + 67630643, + 47511528 + ], + [ + 81402164, + 60907368 + ], + [ + 26473655, + 59031338 + ], + [ + 54190695, + 92763941 + ], + [ + 83809112, + 74381704 + ], + [ + 80674581, + 39641019 + ], + [ + 39223584, + 36833955 + ], + [ + 92496592, + 80267824 + ], + [ + 31148549, + 75633098 + ], + [ + 80760272, + 64414698 + ], + [ + 22846965, + 99290554 + ], + [ + 27424559, + 5814661 + ], + [ + 79917852, + 20081493 + ], + [ + 8260305, + 2204915 + ], + [ + 29313849, + 58731839 + ], + [ + 90439557, + 32519565 + ], + [ + 14862968, + 97075409 + ], + [ + 95776101, + 81685731 + ], + [ + 88146101, + 92252643 + ], + [ + 33504281, + 25757655 + ], + [ + 19339874, + 7215229 + ], + [ + 76502577, + 82681662 + ], + [ + 71309622, + 31540149 + ], + [ + 27790361, + 77709858 + ], + [ + 42537525, + 68817854 + ], + [ + 70945993, + 34701586 + ], + [ + 10348074, + 57352459 + ], + [ + 46305046, + 46643536 + ], + [ + 28813120, + 91174113 + ], + [ + 35693421, + 13485845 + ], + [ + 57449479, + 82161616 + ], + [ + 21377728, + 77915722 + ], + [ + 95383224, + 81542033 + ], + [ + 99497794, + 16667637 + ], + [ + 4788286, + 10542355 + ], + [ + 64467637, + 67497650 + ], + [ + 17661508, + 87504104 + ], + [ + 88138632, + 72565211 + ], + [ + 50793749, + 2015537 + ], + [ + 27506068, + 77817873 + ], + [ + 83682970, + 82279658 + ], + [ + 43464002, + 35994946 + ], + [ + 59754657, + 56290528 + ], + [ + 57276439, + 74864075 + ], + [ + 23265381, + 93812596 + ], + [ + 16340261, + 19538424 + ], + [ + 90765102, + 29419811 + ], + [ + 83787399, + 47524666 + ], + [ + 24094616, + 75239135 + ], + [ + 3559599, + 18695265 + ], + [ + 34858853, + 59409199 + ], + [ + 64610365, + 10596146 + ], + [ + 63977252, + 67840664 + ], + [ + 71354120, + 72512951 + ], + [ + 90326295, + 2793342 + ], + [ + 84734667, + 28975416 + ], + [ + 8707271, + 14419500 + ], + [ + 41721715, + 96236356 + ], + [ + 80815590, + 49091534 + ], + [ + 4230015, + 82745507 + ], + [ + 95294907, + 99400920 + ], + [ + 24786553, + 32932237 + ], + [ + 43637025, + 51534874 + ], + [ + 86831412, + 65336400 + ], + [ + 73036101, + 9865376 + ], + [ + 5182629, + 98488399 + ], + [ + 88867853, + 84877243 + ], + [ + 27715636, + 51692635 + ], + [ + 38964435, + 50804960 + ], + [ + 48151059, + 66570354 + ], + [ + 41468803, + 99726473 + ], + [ + 40825181, + 34709111 + ], + [ + 47091908, + 86439801 + ], + [ + 40779472, + 31734459 + ], + [ + 61223228, + 47235026 + ], + [ + 10577192, + 69838182 + ], + [ + 6737931, + 32415451 + ], + [ + 80867284, + 4894481 + ], + [ + 90370368, + 33828804 + ], + [ + 80564810, + 45606514 + ], + [ + 48827552, + 15729101 + ], + [ + 15709311, + 69425484 + ], + [ + 21073745, + 22312000 + ], + [ + 87228476, + 49488338 + ], + [ + 74636527, + 30727147 + ], + [ + 54504689, + 48465107 + ], + [ + 64049272, + 61920686 + ], + [ + 20322303, + 52231072 + ], + [ + 4947346, + 78522252 + ], + [ + 78858512, + 69202548 + ], + [ + 67767295, + 34370833 + ], + [ + 4263730, + 904725 + ], + [ + 46478859, + 68989205 + ], + [ + 13868812, + 38768946 + ], + [ + 12926173, + 94036234 + ], + [ + 77193229, + 58813738 + ], + [ + 41119062, + 60938035 + ], + [ + 62110999, + 16754716 + ], + [ + 30119257, + 67483935 + ], + [ + 34229414, + 50694050 + ], + [ + 1330406, + 4893553 + ], + [ + 46436364, + 77331377 + ], + [ + 73290201, + 12481955 + ], + [ + 75871549, + 65463100 + ], + [ + 41011728, + 4248399 + ], + [ + 38859620, + 31929055 + ], + [ + 85955818, + 77405718 + ], + [ + 20251718, + 46410932 + ], + [ + 10103691, + 43038313 + ], + [ + 24283149, + 45798442 + ], + [ + 84981160, + 93545227 + ], + [ + 83168609, + 28907564 + ], + [ + 33815661, + 40975441 + ], + [ + 29925291, + 7082467 + ], + [ + 50425021, + 45850272 + ], + [ + 65524055, + 57370621 + ], + [ + 10429774, + 87697182 + ], + [ + 65990951, + 767412 + ], + [ + 45184509, + 37044007 + ], + [ + 16740655, + 61550556 + ], + [ + 50909448, + 81580998 + ], + [ + 4866070, + 12351335 + ], + [ + 39955146, + 70764819 + ], + [ + 49312997, + 41254882 + ], + [ + 52816089, + 61288098 + ], + [ + 7981701, + 27338410 + ], + [ + 56938980, + 44674775 + ], + [ + 390738, + 15456375 + ], + [ + 15025868, + 14712450 + ], + [ + 93708081, + 58667054 + ], + [ + 81292933, + 22528564 + ], + [ + 90426474, + 23467187 + ], + [ + 46286768, + 10311404 + ], + [ + 76003981, + 67661355 + ], + [ + 3153337, + 61166682 + ], + [ + 34948616, + 4095104 + ], + [ + 33033619, + 4917816 + ], + [ + 9608357, + 13467382 + ], + [ + 89911132, + 21360898 + ], + [ + 52914532, + 82748393 + ], + [ + 73034239, + 31326225 + ], + [ + 95941361, + 38402762 + ], + [ + 56200779, + 40682643 + ], + [ + 97527611, + 7798465 + ], + [ + 89068724, + 90445079 + ], + [ + 41944803, + 48924230 + ], + [ + 29660629, + 91959110 + ], + [ + 56181120, + 73402038 + ], + [ + 92717375, + 90109283 + ], + [ + 64038088, + 24137523 + ], + [ + 19448818, + 7319699 + ], + [ + 49841037, + 11051736 + ], + [ + 80841729, + 43899615 + ], + [ + 29735341, + 23517185 + ], + [ + 28154955, + 25783297 + ], + [ + 48231385, + 72524214 + ], + [ + 49564948, + 45129228 + ], + [ + 92639921, + 16447577 + ], + [ + 84803143, + 3539817 + ], + [ + 3510114, + 30985305 + ], + [ + 82856031, + 32195804 + ], + [ + 22312106, + 50496171 + ], + [ + 85370281, + 58953877 + ], + [ + 70869702, + 47324219 + ], + [ + 85319278, + 12479714 + ], + [ + 30103005, + 53521817 + ], + [ + 53979495, + 6118779 + ], + [ + 98965907, + 54984100 + ], + [ + 11887040, + 3257130 + ], + [ + 92134353, + 84909689 + ], + [ + 37720897, + 68662134 + ], + [ + 26050434, + 50868053 + ], + [ + 68371396, + 2450498 + ], + [ + 78114686, + 45033217 + ], + [ + 67724605, + 24593340 + ], + [ + 49571177, + 8996065 + ], + [ + 79025631, + 66994387 + ], + [ + 55209458, + 29310449 + ], + [ + 84963562, + 14709640 + ], + [ + 44893257, + 58648619 + ], + [ + 8361014, + 2526758 + ], + [ + 15808215, + 94133745 + ], + [ + 37071561, + 54885096 + ], + [ + 42519662, + 98050892 + ], + [ + 53003438, + 62860164 + ], + [ + 5751784, + 66525072 + ], + [ + 96906343, + 64539569 + ], + [ + 98522892, + 25923722 + ], + [ + 51991322, + 13000500 + ], + [ + 78977061, + 64007620 + ], + [ + 57267185, + 99029133 + ], + [ + 26932418, + 60506098 + ], + [ + 5379987, + 86401588 + ], + [ + 89274603, + 11826093 + ], + [ + 18345685, + 29298153 + ], + [ + 47938158, + 92370809 + ], + [ + 84829947, + 8045405 + ], + [ + 25374994, + 35009457 + ], + [ + 83562970, + 56812005 + ], + [ + 67807929, + 96405232 + ], + [ + 33078275, + 27068923 + ], + [ + 40722748, + 76735796 + ], + [ + 11356630, + 89291660 + ], + [ + 5780126, + 39058959 + ], + [ + 75016041, + 9422678 + ], + [ + 94988340, + 40968246 + ], + [ + 83289774, + 93466227 + ], + [ + 88903657, + 69321827 + ], + [ + 82059373, + 54554166 + ], + [ + 79167135, + 99767895 + ], + [ + 2282254, + 98704954 + ], + [ + 2348205, + 72707945 + ], + [ + 54045814, + 21571107 + ], + [ + 44366940, + 49568202 + ], + [ + 71851692, + 24073277 + ], + [ + 35544289, + 50088155 + ], + [ + 76921494, + 90715510 + ], + [ + 15024971, + 21693108 + ], + [ + 9919580, + 3667832 + ], + [ + 94670007, + 21148388 + ], + [ + 67564947, + 11829981 + ], + [ + 93504933, + 88656005 + ], + [ + 26331918, + 46397842 + ], + [ + 79007333, + 51320929 + ], + [ + 94931828, + 75570375 + ], + [ + 74337786, + 46283420 + ], + [ + 5896761, + 1827408 + ], + [ + 96101345, + 36610060 + ], + [ + 96264030, + 79237585 + ], + [ + 61086589, + 83116509 + ], + [ + 12371489, + 85381506 + ], + [ + 34453921, + 76311995 + ], + [ + 11960258, + 86939350 + ], + [ + 86156406, + 13643712 + ], + [ + 88671284, + 77430963 + ], + [ + 31506809, + 17015945 + ], + [ + 64438700, + 33109118 + ], + [ + 8346851, + 87524734 + ], + [ + 3266024, + 47324320 + ], + [ + 32876641, + 64846352 + ], + [ + 81692675, + 79367769 + ], + [ + 44070776, + 85066957 + ], + [ + 20063577, + 57915300 + ], + [ + 44042148, + 73179173 + ], + [ + 95904548, + 85564666 + ], + [ + 76590531, + 41450470 + ], + [ + 21848629, + 9433090 + ], + [ + 54667618, + 25489653 + ], + [ + 78085521, + 80799427 + ], + [ + 33090996, + 80115356 + ], + [ + 2512281, + 62321943 + ], + [ + 81723571, + 20901237 + ], + [ + 60060022, + 57627979 + ], + [ + 18827006, + 23478656 + ], + [ + 95716715, + 46303057 + ], + [ + 57018280, + 31419291 + ], + [ + 68496129, + 78699493 + ], + [ + 57083004, + 79061182 + ], + [ + 57622450, + 18962623 + ], + [ + 79943548, + 56789694 + ], + [ + 12084415, + 83485539 + ], + [ + 50036836, + 53531180 + ], + [ + 1657884, + 3808429 + ], + [ + 76843087, + 41636066 + ], + [ + 80797826, + 46215900 + ], + [ + 380188, + 46701910 + ], + [ + 38591769, + 37658425 + ], + [ + 71489910, + 37328496 + ], + [ + 71195438, + 4899782 + ], + [ + 19545587, + 78824058 + ], + [ + 16719355, + 5652953 + ], + [ + 24912078, + 75749815 + ], + [ + 60505954, + 32582718 + ], + [ + 8370250, + 13043914 + ], + [ + 25907510, + 83404934 + ], + [ + 57041724, + 8842882 + ], + [ + 32529722, + 30299083 + ], + [ + 8499104, + 6651890 + ], + [ + 86670788, + 83560495 + ], + [ + 9979882, + 23308082 + ], + [ + 67241259, + 93929088 + ], + [ + 52173337, + 79088325 + ], + [ + 16813055, + 61133864 + ], + [ + 16578859, + 24719954 + ], + [ + 38006596, + 21065867 + ], + [ + 53815032, + 25993166 + ], + [ + 66502600, + 64469161 + ], + [ + 32977744, + 54143377 + ], + [ + 16627711, + 8582248 + ], + [ + 7341938, + 4674920 + ], + [ + 7768647, + 20095894 + ], + [ + 35179413, + 24461583 + ], + [ + 75292522, + 40669258 + ], + [ + 92673409, + 35962846 + ], + [ + 89710043, + 87013802 + ], + [ + 72268092, + 20361654 + ], + [ + 4574693, + 7912090 + ], + [ + 19679845, + 63497361 + ], + [ + 76569453, + 60522407 + ], + [ + 22228563, + 16091109 + ], + [ + 24629061, + 11454347 + ], + [ + 8802146, + 13856668 + ], + [ + 10813149, + 26678389 + ], + [ + 50911060, + 48314241 + ], + [ + 78619546, + 2078733 + ], + [ + 44388185, + 30938467 + ], + [ + 99122071, + 1793193 + ], + [ + 90421255, + 31562234 + ], + [ + 49867533, + 14770742 + ], + [ + 68950369, + 76863118 + ], + [ + 50831090, + 32884822 + ], + [ + 75200905, + 64750950 + ], + [ + 54799720, + 82664189 + ], + [ + 56677615, + 44055574 + ], + [ + 93742463, + 37280500 + ], + [ + 19441361, + 82133719 + ], + [ + 98129877, + 18383635 + ], + [ + 3665852, + 74710464 + ], + [ + 47473166, + 76377384 + ], + [ + 83986061, + 82721074 + ], + [ + 54440263, + 17033975 + ], + [ + 20373863, + 55249869 + ], + [ + 63295538, + 79610687 + ], + [ + 92580617, + 17041608 + ], + [ + 52388193, + 53101445 + ], + [ + 52344679, + 64493346 + ], + [ + 38756269, + 11210110 + ], + [ + 11814857, + 97119563 + ], + [ + 81100805, + 96351235 + ], + [ + 45109653, + 89565211 + ], + [ + 58086103, + 19143693 + ], + [ + 6279293, + 15999073 + ], + [ + 41849726, + 14822516 + ], + [ + 71556094, + 33124617 + ], + [ + 78901095, + 74931254 + ], + [ + 55953242, + 60379233 + ], + [ + 7384166, + 41248626 + ], + [ + 76892833, + 47974835 + ], + [ + 65104583, + 70772673 + ], + [ + 29768633, + 30873730 + ], + [ + 86626052, + 88900097 + ], + [ + 23249761, + 63152845 + ], + [ + 683078, + 70759991 + ], + [ + 74740470, + 8111121 + ], + [ + 32278146, + 19299387 + ], + [ + 99148123, + 95556878 + ], + [ + 83991083, + 80699604 + ], + [ + 30514484, + 1282703 + ], + [ + 97640286, + 85786378 + ], + [ + 76435964, + 47552152 + ], + [ + 59046545, + 23786620 + ], + [ + 21378543, + 21902538 + ], + [ + 18410818, + 20467120 + ], + [ + 22149497, + 20398946 + ], + [ + 60824963, + 27413912 + ], + [ + 23784590, + 22764659 + ], + [ + 4984439, + 51734543 + ], + [ + 57269163, + 98176742 + ], + [ + 18361625, + 44484731 + ], + [ + 69466264, + 9243402 + ], + [ + 80116984, + 26579816 + ], + [ + 55686723, + 88763620 + ], + [ + 54579768, + 85354123 + ], + [ + 40473507, + 80311739 + ], + [ + 7252901, + 94970413 + ], + [ + 41281493, + 59116296 + ], + [ + 78333228, + 6010529 + ], + [ + 88792911, + 89115329 + ], + [ + 39498688, + 39864052 + ], + [ + 29559698, + 8101465 + ], + [ + 42218899, + 82467358 + ], + [ + 46279707, + 50044639 + ], + [ + 4656686, + 51769320 + ], + [ + 47033674, + 9307748 + ], + [ + 30524835, + 24811871 + ], + [ + 89383430, + 77672726 + ], + [ + 21316023, + 30024819 + ], + [ + 10918636, + 2455259 + ], + [ + 22315600, + 54413562 + ], + [ + 51135959, + 17738214 + ], + [ + 44441755, + 22496201 + ], + [ + 92580514, + 74878973 + ], + [ + 86007711, + 91708695 + ], + [ + 19207962, + 92973692 + ], + [ + 39479752, + 28675852 + ], + [ + 96751234, + 81471216 + ], + [ + 57099091, + 9947357 + ], + [ + 99150020, + 13808127 + ], + [ + 56087874, + 30024624 + ], + [ + 89968874, + 91512116 + ], + [ + 43460616, + 67017652 + ], + [ + 18397109, + 94110449 + ], + [ + 41059614, + 30286244 + ], + [ + 61345387, + 20688955 + ], + [ + 19550355, + 71739263 + ], + [ + 99908624, + 70639107 + ], + [ + 98892172, + 1661022 + ], + [ + 67465214, + 27953721 + ], + [ + 85680618, + 29685760 + ], + [ + 87811975, + 79992863 + ], + [ + 25008269, + 96763831 + ], + [ + 74968810, + 52841088 + ], + [ + 42683555, + 73628134 + ], + [ + 96855404, + 62707885 + ], + [ + 39805217, + 29932186 + ], + [ + 99092692, + 84311835 + ], + [ + 76519839, + 21258321 + ], + [ + 3266723, + 69969675 + ], + [ + 95843582, + 2081622 + ], + [ + 18425277, + 77966340 + ], + [ + 41883628, + 30400675 + ], + [ + 44777123, + 29566576 + ], + [ + 77933668, + 37948295 + ], + [ + 51040518, + 41791967 + ], + [ + 87933217, + 73101037 + ], + [ + 1199978, + 23143519 + ], + [ + 64892622, + 74508977 + ], + [ + 53802374, + 59945235 + ], + [ + 15022435, + 76508892 + ], + [ + 80550379, + 33363978 + ], + [ + 93608719, + 74109527 + ], + [ + 5649234, + 81240841 + ], + [ + 98278101, + 19553090 + ], + [ + 48381759, + 10255588 + ], + [ + 68490979, + 63306740 + ], + [ + 81644879, + 42994607 + ], + [ + 31480318, + 82328292 + ], + [ + 20939241, + 21201636 + ], + [ + 44465407, + 56542092 + ], + [ + 75468467, + 53866593 + ], + [ + 20623636, + 67010913 + ], + [ + 26077256, + 39610230 + ], + [ + 97022517, + 57260352 + ], + [ + 30751511, + 57607875 + ], + [ + 80473319, + 26496343 + ], + [ + 50345313, + 21654759 + ], + [ + 55934013, + 9466093 + ], + [ + 41438125, + 30077549 + ], + [ + 80912219, + 55554176 + ], + [ + 71005063, + 6072277 + ], + [ + 1584591, + 36137355 + ], + [ + 1367908, + 49442625 + ], + [ + 39740271, + 6552353 + ], + [ + 48025191, + 97443644 + ], + [ + 92963193, + 69847026 + ], + [ + 70701315, + 9777182 + ], + [ + 36841285, + 4206056 + ], + [ + 79104317, + 58293437 + ], + [ + 93196584, + 11994411 + ], + [ + 95356421, + 22300351 + ], + [ + 34756189, + 98223542 + ], + [ + 77869741, + 34428857 + ], + [ + 99868086, + 84946753 + ], + [ + 16602739, + 38879340 + ], + [ + 30652061, + 79809513 + ], + [ + 87712968, + 11776381 + ], + [ + 38591693, + 30580324 + ], + [ + 79957249, + 9037020 + ], + [ + 91777988, + 25538005 + ], + [ + 35544943, + 49226996 + ], + [ + 24695900, + 74641141 + ], + [ + 75452898, + 79908091 + ], + [ + 62726079, + 16470455 + ], + [ + 81666390, + 75410027 + ], + [ + 75981220, + 63285421 + ], + [ + 2669956, + 80490218 + ], + [ + 91498165, + 93126132 + ], + [ + 83256070, + 61464326 + ], + [ + 66003574, + 20698235 + ], + [ + 39499028, + 8962687 + ], + [ + 50883019, + 62851631 + ], + [ + 26229699, + 29916249 + ], + [ + 31866473, + 79492529 + ], + [ + 91724489, + 14545254 + ], + [ + 8948157, + 46196615 + ], + [ + 93675276, + 93580823 + ], + [ + 75783043, + 74891466 + ], + [ + 47438962, + 38093020 + ], + [ + 70565445, + 5315817 + ], + [ + 46627527, + 94841004 + ], + [ + 55295393, + 51952150 + ], + [ + 94953990, + 79093294 + ], + [ + 26761472, + 87498592 + ], + [ + 78529922, + 73224930 + ], + [ + 86578795, + 25260381 + ], + [ + 27842694, + 42511734 + ], + [ + 26155986, + 86984610 + ], + [ + 7574275, + 59184432 + ], + [ + 76667287, + 23111989 + ], + [ + 75256940, + 49736077 + ], + [ + 23993232, + 88222267 + ], + [ + 35365733, + 92732126 + ], + [ + 62966382, + 88888630 + ], + [ + 90347800, + 21417722 + ], + [ + 82419390, + 26864802 + ], + [ + 27433034, + 96023380 + ], + [ + 19944653, + 76925601 + ], + [ + 72232671, + 50003124 + ], + [ + 21345983, + 73652086 + ], + [ + 59378441, + 68722949 + ], + [ + 55288733, + 74289104 + ], + [ + 14369639, + 26220840 + ], + [ + 90323135, + 90044451 + ], + [ + 67565568, + 20761163 + ], + [ + 83791823, + 9126852 + ], + [ + 2922048, + 88102387 + ], + [ + 9155202, + 25348389 + ], + [ + 46268425, + 12671133 + ], + [ + 24539963, + 89211370 + ], + [ + 74119760, + 46516322 + ], + [ + 39440617, + 22961334 + ], + [ + 11508258, + 67165403 + ], + [ + 17471951, + 89143405 + ], + [ + 13220488, + 31532617 + ], + [ + 94620402, + 63561582 + ], + [ + 6498651, + 37514005 + ], + [ + 86973002, + 12071971 + ], + [ + 80064193, + 63189422 + ], + [ + 90828279, + 97006595 + ], + [ + 27933054, + 38914797 + ], + [ + 9191153, + 69775424 + ], + [ + 71790425, + 89187653 + ], + [ + 16893255, + 64928559 + ], + [ + 10173647, + 53474168 + ], + [ + 70705723, + 18166949 + ], + [ + 48299471, + 51565199 + ], + [ + 67542560, + 16224551 + ], + [ + 41841828, + 79774031 + ], + [ + 81967480, + 62350804 + ], + [ + 84300810, + 64148948 + ], + [ + 1494808, + 63207306 + ], + [ + 31158909, + 51082575 + ], + [ + 26873088, + 98463975 + ], + [ + 96258639, + 10165516 + ], + [ + 61892723, + 83003408 + ], + [ + 60447426, + 84514884 + ], + [ + 72766062, + 39233336 + ], + [ + 48263760, + 81736529 + ], + [ + 40594030, + 46971681 + ], + [ + 94406228, + 8384212 + ], + [ + 97941832, + 4992916 + ], + [ + 19458097, + 37547191 + ], + [ + 2504002, + 10768609 + ], + [ + 7482802, + 98760186 + ], + [ + 81803932, + 30284004 + ], + [ + 45049263, + 584666 + ], + [ + 83586467, + 4692880 + ], + [ + 18309940, + 83439871 + ], + [ + 53727763, + 80313836 + ], + [ + 67701507, + 98503654 + ], + [ + 49229365, + 87109167 + ], + [ + 28015697, + 77175892 + ], + [ + 52064130, + 31357476 + ], + [ + 559123, + 41498548 + ], + [ + 21864937, + 44486191 + ], + [ + 67179738, + 84706394 + ], + [ + 50185400, + 41481292 + ], + [ + 95703776, + 45874504 + ], + [ + 59535205, + 46007003 + ], + [ + 98439521, + 1831888 + ], + [ + 30352736, + 37245145 + ], + [ + 70514004, + 97228321 + ], + [ + 43146620, + 28910532 + ], + [ + 89111285, + 7275068 + ], + [ + 16044500, + 33387487 + ], + [ + 90891610, + 25589186 + ], + [ + 57928293, + 78095173 + ], + [ + 64807920, + 16734202 + ], + [ + 30068751, + 95397764 + ], + [ + 77624821, + 94635674 + ], + [ + 56853597, + 71376477 + ], + [ + 90885132, + 71821030 + ], + [ + 31840118, + 42766738 + ], + [ + 88166161, + 8619780 + ], + [ + 64746119, + 76558483 + ], + [ + 2228529, + 57190322 + ], + [ + 91898112, + 46624747 + ], + [ + 23982474, + 4661087 + ], + [ + 90600265, + 50275504 + ], + [ + 44112605, + 35779694 + ], + [ + 69919008, + 20003423 + ], + [ + 10957593, + 19450127 + ], + [ + 73310828, + 16097304 + ], + [ + 7462725, + 54084853 + ], + [ + 35697737, + 95918598 + ], + [ + 76044022, + 32445079 + ], + [ + 79493317, + 90124191 + ], + [ + 11553204, + 64222149 + ], + [ + 61282180, + 31404922 + ], + [ + 84549551, + 98496819 + ], + [ + 36260948, + 32917759 + ], + [ + 64130060, + 6692489 + ], + [ + 87349566, + 97166827 + ], + [ + 68335057, + 53246147 + ], + [ + 27407795, + 7460135 + ], + [ + 26671628, + 2213904 + ], + [ + 78968928, + 84505053 + ], + [ + 40259820, + 57772695 + ], + [ + 80129880, + 37521007 + ], + [ + 15676397, + 44005184 + ], + [ + 75042339, + 75427636 + ], + [ + 82491187, + 35277538 + ], + [ + 62728951, + 61371472 + ], + [ + 89105767, + 15810245 + ], + [ + 81200983, + 45357829 + ], + [ + 16870549, + 54782798 + ], + [ + 72581354, + 92286718 + ], + [ + 78632964, + 22290742 + ], + [ + 79680480, + 70889879 + ], + [ + 981624, + 26246099 + ], + [ + 51994713, + 24306962 + ], + [ + 52751999, + 59085873 + ], + [ + 23135136, + 95846253 + ], + [ + 58880472, + 32717678 + ], + [ + 14122738, + 62782476 + ], + [ + 15411021, + 25772121 + ], + [ + 54680934, + 51608002 + ], + [ + 53550973, + 42217263 + ], + [ + 96054921, + 42346208 + ], + [ + 30635353, + 53938466 + ], + [ + 25947488, + 2834264 + ], + [ + 3489043, + 29975388 + ], + [ + 48436919, + 39246819 + ], + [ + 90087183, + 64846125 + ], + [ + 65548818, + 19769997 + ], + [ + 5307539, + 42181980 + ], + [ + 31498863, + 23843 + ], + [ + 96541746, + 77810004 + ], + [ + 77207130, + 11770736 + ], + [ + 8289677, + 2566552 + ], + [ + 6644158, + 5443904 + ], + [ + 57620798, + 11875127 + ], + [ + 2984425, + 59785052 + ], + [ + 3276812, + 78918032 + ], + [ + 74360640, + 89994670 + ], + [ + 29771570, + 54277681 + ], + [ + 1933026, + 51251384 + ], + [ + 43562254, + 68091264 + ], + [ + 46517589, + 69479726 + ], + [ + 77504115, + 71624208 + ], + [ + 25906193, + 38792826 + ], + [ + 18269299, + 29237827 + ], + [ + 70333013, + 73155168 + ], + [ + 40982615, + 22324900 + ], + [ + 28655420, + 26142881 + ], + [ + 92232279, + 68315277 + ], + [ + 75702196, + 5875458 + ], + [ + 79007128, + 94261794 + ], + [ + 63160578, + 33913625 + ], + [ + 16331462, + 5919259 + ], + [ + 70786473, + 69715184 + ], + [ + 83951435, + 33656838 + ], + [ + 61789731, + 95073799 + ], + [ + 20012063, + 98919533 + ], + [ + 46699859, + 45737823 + ], + [ + 20253330, + 65187626 + ], + [ + 31083233, + 13828242 + ], + [ + 76999611, + 77050205 + ], + [ + 29057070, + 17467548 + ], + [ + 33046235, + 8513120 + ], + [ + 64997792, + 7400893 + ], + [ + 61578031, + 59427957 + ], + [ + 78902689, + 80160944 + ], + [ + 52138470, + 41414746 + ], + [ + 36076711, + 32633132 + ], + [ + 39227629, + 39307234 + ], + [ + 78110586, + 34802929 + ], + [ + 1216518, + 54213864 + ], + [ + 50098323, + 67053660 + ], + [ + 8633106, + 54629132 + ], + [ + 76622345, + 1523428 + ], + [ + 55572905, + 1951497 + ], + [ + 68393209, + 34835063 + ], + [ + 15071592, + 75530363 + ], + [ + 99221577, + 57167593 + ], + [ + 20960474, + 26443021 + ], + [ + 25174877, + 70767527 + ], + [ + 57656977, + 1547726 + ], + [ + 64259687, + 37890530 + ], + [ + 34051476, + 4377797 + ], + [ + 39844132, + 93589111 + ], + [ + 25062521, + 47075079 + ], + [ + 79755433, + 35642805 + ], + [ + 17417837, + 32857978 + ], + [ + 17275898, + 92820292 + ], + [ + 14584462, + 14317831 + ], + [ + 61796978, + 87533778 + ], + [ + 55766841, + 16837825 + ], + [ + 88023313, + 87443358 + ], + [ + 25461587, + 47993932 + ], + [ + 40374827, + 48152239 + ], + [ + 84768047, + 16936942 + ], + [ + 42891236, + 20430525 + ], + [ + 33545062, + 92719424 + ], + [ + 80235063, + 64117057 + ], + [ + 59643997, + 34855159 + ], + [ + 55192730, + 45065187 + ], + [ + 79185033, + 50812584 + ], + [ + 83144027, + 21431704 + ], + [ + 98420845, + 79217354 + ], + [ + 49680725, + 43311409 + ], + [ + 28931562, + 68001486 + ], + [ + 59923803, + 67369893 + ], + [ + 95506176, + 77204331 + ], + [ + 18762545, + 33363596 + ], + [ + 10955436, + 39378125 + ], + [ + 96783258, + 22917890 + ], + [ + 17391805, + 61548806 + ], + [ + 74569807, + 50679086 + ], + [ + 95856823, + 99321368 + ], + [ + 22124144, + 13341983 + ], + [ + 81891078, + 91608715 + ], + [ + 9061926, + 84833303 + ], + [ + 77582655, + 88785739 + ], + [ + 56007138, + 77692772 + ], + [ + 33686238, + 98140309 + ], + [ + 86974168, + 85920179 + ], + [ + 97506538, + 42105185 + ], + [ + 12713430, + 4731323 + ], + [ + 74384387, + 49814516 + ], + [ + 62809592, + 44549134 + ], + [ + 71482796, + 44900562 + ], + [ + 84656686, + 84583552 + ], + [ + 52947008, + 93218837 + ], + [ + 31616891, + 73495553 + ], + [ + 61081781, + 1106349 + ], + [ + 83678230, + 48763897 + ], + [ + 56979749, + 72047141 + ], + [ + 97202804, + 47251525 + ], + [ + 50374213, + 76300858 + ], + [ + 11343964, + 62348597 + ], + [ + 4995294, + 10366377 + ], + [ + 67246966, + 17510161 + ], + [ + 43686725, + 13335298 + ], + [ + 82418673, + 51474887 + ], + [ + 42995107, + 43786935 + ], + [ + 80624482, + 68083796 + ], + [ + 10471349, + 8929557 + ], + [ + 29701840, + 86048339 + ], + [ + 27974158, + 90255523 + ], + [ + 80020963, + 2120608 + ], + [ + 89267288, + 27466093 + ], + [ + 22729301, + 35181988 + ], + [ + 79569794, + 17218329 + ], + [ + 85815703, + 83344716 + ], + [ + 48025768, + 12559609 + ], + [ + 95868996, + 71708784 + ], + [ + 74688558, + 91553391 + ], + [ + 48816860, + 91199230 + ], + [ + 33736587, + 55824815 + ], + [ + 94100128, + 35152495 + ], + [ + 56196417, + 24623683 + ], + [ + 64664893, + 84828257 + ], + [ + 76443929, + 28944683 + ], + [ + 2930893, + 78249586 + ], + [ + 85010672, + 26857812 + ], + [ + 75259028, + 11437497 + ], + [ + 691531, + 36488587 + ], + [ + 18027861, + 27068279 + ], + [ + 52142952, + 92896550 + ], + [ + 92253965, + 97730121 + ], + [ + 30203042, + 46582858 + ], + [ + 13209859, + 91141702 + ], + [ + 57625956, + 48315590 + ], + [ + 21310877, + 43685944 + ], + [ + 19743216, + 70202093 + ], + [ + 38447938, + 72193436 + ], + [ + 26931647, + 83297450 + ], + [ + 16370904, + 19590464 + ], + [ + 14587329, + 38664624 + ], + [ + 78990914, + 34556993 + ], + [ + 93812038, + 67646566 + ], + [ + 80959838, + 77538577 + ], + [ + 13482160, + 2999430 + ], + [ + 84139994, + 55947373 + ], + [ + 99967500, + 4969541 + ], + [ + 10954069, + 91992616 + ], + [ + 76953216, + 70171522 + ], + [ + 33755364, + 17286376 + ], + [ + 61587920, + 6597591 + ], + [ + 26412053, + 72802304 + ], + [ + 87304523, + 36333918 + ], + [ + 15874537, + 21444358 + ], + [ + 55180149, + 59047941 + ], + [ + 69148500, + 66981341 + ], + [ + 5436967, + 56740467 + ], + [ + 99380578, + 77512715 + ], + [ + 78707161, + 63690541 + ], + [ + 80590730, + 41249318 + ], + [ + 85860574, + 67958051 + ], + [ + 17578345, + 75221887 + ], + [ + 10892957, + 22708703 + ], + [ + 29853070, + 9357453 + ], + [ + 70064575, + 93173200 + ], + [ + 23442657, + 83716237 + ], + [ + 86993079, + 43597590 + ], + [ + 20907259, + 29364351 + ], + [ + 48963855, + 84760643 + ], + [ + 13472789, + 72844431 + ], + [ + 93539372, + 78718948 + ], + [ + 45361006, + 10487932 + ], + [ + 20769053, + 4916778 + ], + [ + 78721632, + 16797476 + ], + [ + 4749411, + 65373146 + ], + [ + 24860291, + 39925400 + ], + [ + 5790166, + 20562182 + ], + [ + 84276653, + 71698498 + ], + [ + 43682248, + 50514686 + ], + [ + 92607556, + 17202552 + ], + [ + 47175023, + 41390621 + ], + [ + 31539929, + 70561621 + ], + [ + 64772824, + 89289565 + ], + [ + 1701379, + 75237966 + ], + [ + 85814325, + 78092095 + ], + [ + 93630443, + 20333529 + ], + [ + 15347512, + 64204564 + ], + [ + 34893534, + 71457526 + ], + [ + 31727000, + 94486573 + ], + [ + 56248322, + 47456074 + ], + [ + 70073685, + 90563125 + ], + [ + 48067533, + 44601902 + ], + [ + 87889949, + 48839747 + ], + [ + 48450746, + 91615387 + ], + [ + 76458498, + 18535085 + ], + [ + 93453668, + 14796191 + ], + [ + 6536777, + 32343651 + ], + [ + 16603588, + 64760593 + ], + [ + 62741959, + 66510308 + ], + [ + 6505990, + 86855321 + ], + [ + 31514129, + 24016853 + ], + [ + 95599066, + 39518105 + ], + [ + 44438929, + 95125598 + ], + [ + 36108572, + 95364738 + ], + [ + 57249945, + 38349491 + ], + [ + 48188211, + 9128362 + ], + [ + 16248841, + 50265924 + ], + [ + 64036438, + 27394150 + ], + [ + 93292638, + 96233403 + ], + [ + 75113034, + 9087664 + ], + [ + 36088777, + 198581 + ], + [ + 30954315, + 78004179 + ], + [ + 79590112, + 3051374 + ], + [ + 80078051, + 87525450 + ], + [ + 3133956, + 87661688 + ], + [ + 36650717, + 19178536 + ], + [ + 89729731, + 50995443 + ], + [ + 54315201, + 49794892 + ], + [ + 50991823, + 45020637 + ], + [ + 73449866, + 84699300 + ], + [ + 41699313, + 38004006 + ], + [ + 21388068, + 56104246 + ], + [ + 90418449, + 19974690 + ], + [ + 14674566, + 53516293 + ], + [ + 48199539, + 32399047 + ], + [ + 36651043, + 99706703 + ], + [ + 73150708, + 51844611 + ], + [ + 15080139, + 96831333 + ], + [ + 50406723, + 17975420 + ], + [ + 71613533, + 46284870 + ], + [ + 98226962, + 46766276 + ], + [ + 80404993, + 30046158 + ], + [ + 37286561, + 52882487 + ], + [ + 40334851, + 5630601 + ], + [ + 75240529, + 54374901 + ], + [ + 78960005, + 56069879 + ], + [ + 85340445, + 6870174 + ], + [ + 45618778, + 34126930 + ], + [ + 60310749, + 98997848 + ], + [ + 71965367, + 49340863 + ], + [ + 80819491, + 41391008 + ], + [ + 70307442, + 75719015 + ], + [ + 53250326, + 62000768 + ], + [ + 21024700, + 25199862 + ], + [ + 1540001, + 23862065 + ], + [ + 44413985, + 12243681 + ], + [ + 44665415, + 93529306 + ], + [ + 99236280, + 43058152 + ], + [ + 855692, + 6444226 + ], + [ + 54644113, + 11218993 + ], + [ + 54014377, + 57022153 + ], + [ + 93400360, + 65483496 + ], + [ + 40199148, + 16216557 + ], + [ + 37240275, + 67740475 + ], + [ + 80544891, + 99077393 + ], + [ + 76107112, + 15151306 + ], + [ + 57955338, + 39942737 + ], + [ + 97912682, + 32338707 + ], + [ + 39087912, + 70071348 + ], + [ + 52773981, + 78227622 + ], + [ + 8557599, + 74395191 + ], + [ + 68112176, + 12423165 + ], + [ + 99422637, + 31111516 + ], + [ + 52445789, + 2865894 + ], + [ + 78301037, + 92136139 + ], + [ + 80540952, + 97287529 + ], + [ + 35106354, + 90910291 + ], + [ + 8688667, + 48259847 + ], + [ + 92722056, + 1803722 + ], + [ + 12298635, + 31867196 + ], + [ + 99238742, + 4521611 + ], + [ + 22274424, + 52191700 + ], + [ + 74251256, + 10734450 + ], + [ + 77274527, + 54016649 + ], + [ + 78602420, + 57469203 + ], + [ + 26571516, + 725582 + ], + [ + 5301918, + 71200492 + ], + [ + 61025185, + 29632467 + ], + [ + 29129174, + 58455361 + ], + [ + 56287728, + 65092090 + ], + [ + 647775, + 11517575 + ], + [ + 11549405, + 4145504 + ], + [ + 38635921, + 71535351 + ], + [ + 6672338, + 5705863 + ], + [ + 87213588, + 32721909 + ], + [ + 89882457, + 65416222 + ], + [ + 10255603, + 32579630 + ], + [ + 74758070, + 44318342 + ], + [ + 71677745, + 60831266 + ], + [ + 36082689, + 6331178 + ], + [ + 52757404, + 29883034 + ], + [ + 50392334, + 61602688 + ], + [ + 49396881, + 31792893 + ], + [ + 49256529, + 37431694 + ], + [ + 66958011, + 38227540 + ], + [ + 22461938, + 28682009 + ], + [ + 79407971, + 91345053 + ], + [ + 38199851, + 29220908 + ], + [ + 959219, + 54081195 + ], + [ + 8385267, + 7672202 + ], + [ + 80594362, + 34163266 + ], + [ + 74330744, + 61573579 + ], + [ + 11261039, + 20585328 + ], + [ + 19256027, + 86631491 + ], + [ + 5564860, + 95991080 + ], + [ + 77332963, + 45490648 + ], + [ + 42574884, + 93403502 + ], + [ + 1635368, + 43118373 + ], + [ + 48681532, + 75964582 + ], + [ + 98178363, + 72314979 + ], + [ + 12318599, + 59623480 + ], + [ + 9128772, + 46490271 + ], + [ + 35312804, + 78236830 + ], + [ + 13980209, + 10541333 + ], + [ + 36300819, + 74400089 + ], + [ + 96490902, + 62450142 + ], + [ + 88409240, + 85847098 + ], + [ + 14444226, + 33885170 + ], + [ + 69611064, + 90611306 + ], + [ + 9768634, + 58468863 + ], + [ + 16804846, + 93998333 + ], + [ + 22543854, + 55780324 + ], + [ + 792242, + 12057727 + ], + [ + 71394238, + 13913692 + ], + [ + 98883600, + 7337691 + ], + [ + 33918127, + 18782476 + ], + [ + 41935168, + 84143497 + ], + [ + 22246134, + 9899406 + ], + [ + 91971284, + 24376436 + ], + [ + 37623802, + 70805079 + ], + [ + 66198070, + 28418955 + ], + [ + 95749730, + 57237618 + ], + [ + 65813960, + 95160613 + ], + [ + 87921256, + 88793367 + ], + [ + 52294288, + 66013724 + ], + [ + 5014360, + 38674123 + ], + [ + 26097084, + 16305337 + ], + [ + 59819418, + 48003902 + ], + [ + 33646309, + 22864579 + ], + [ + 16766776, + 27393437 + ], + [ + 12322907, + 7052968 + ], + [ + 21470117, + 69755893 + ], + [ + 33422388, + 5656563 + ], + [ + 82722198, + 60912852 + ], + [ + 24481541, + 57862572 + ], + [ + 94845080, + 52477652 + ], + [ + 21093268, + 12392063 + ], + [ + 6398750, + 25999250 + ], + [ + 50763127, + 54834244 + ], + [ + 67396857, + 50310222 + ], + [ + 98548298, + 21476580 + ], + [ + 23629177, + 97734740 + ], + [ + 36884156, + 78489653 + ], + [ + 54987367, + 23452661 + ], + [ + 62239969, + 7615715 + ], + [ + 20680706, + 43081361 + ], + [ + 26363695, + 54942469 + ], + [ + 28149273, + 44746349 + ], + [ + 63502779, + 44481906 + ], + [ + 40457304, + 8909676 + ], + [ + 72191784, + 21932089 + ], + [ + 13744964, + 12856108 + ], + [ + 62679711, + 90092907 + ], + [ + 88850593, + 2323640 + ], + [ + 78854306, + 6934555 + ], + [ + 96910769, + 26166615 + ], + [ + 84762436, + 14555675 + ], + [ + 51125721, + 99711665 + ], + [ + 37070544, + 45716129 + ], + [ + 39938669, + 91231374 + ], + [ + 73563436, + 43316229 + ], + [ + 55224819, + 7076719 + ], + [ + 54889354, + 8978751 + ], + [ + 11047062, + 7375081 + ], + [ + 32563940, + 55564927 + ], + [ + 74577665, + 43246916 + ], + [ + 11966692, + 41133028 + ], + [ + 48570469, + 99483757 + ], + [ + 57840860, + 19792384 + ], + [ + 60456127, + 97779482 + ], + [ + 63635798, + 87850680 + ], + [ + 44766118, + 72718971 + ], + [ + 72539760, + 96052251 + ], + [ + 45322668, + 96745479 + ], + [ + 70241800, + 62628384 + ], + [ + 1972904, + 71918384 + ], + [ + 23772488, + 96609506 + ], + [ + 63886892, + 18458863 + ], + [ + 82026690, + 67612213 + ], + [ + 23368777, + 47954501 + ], + [ + 96546670, + 38318326 + ], + [ + 35083350, + 22403202 + ], + [ + 41631213, + 61066592 + ], + [ + 58961285, + 57957059 + ], + [ + 93492292, + 68207745 + ], + [ + 45560546, + 37637567 + ], + [ + 69658595, + 64241974 + ], + [ + 67821875, + 41962551 + ], + [ + 77739560, + 58076710 + ], + [ + 20851973, + 98666382 + ], + [ + 36035170, + 41202429 + ], + [ + 31480752, + 53027634 + ], + [ + 30547445, + 6316370 + ], + [ + 22506937, + 4602633 + ], + [ + 32121918, + 22497048 + ], + [ + 37993162, + 21813930 + ], + [ + 7178351, + 31567627 + ], + [ + 8180310, + 92468364 + ], + [ + 54625807, + 51198396 + ], + [ + 11938582, + 63815561 + ], + [ + 98381418, + 85629442 + ], + [ + 12195815, + 1447870 + ], + [ + 29056939, + 18514579 + ], + [ + 96642264, + 78527275 + ], + [ + 91060276, + 38389463 + ], + [ + 49062589, + 39708856 + ], + [ + 53934245, + 11146437 + ], + [ + 11254698, + 4237299 + ], + [ + 95127775, + 97103170 + ], + [ + 73500348, + 29172742 + ], + [ + 45097139, + 50666347 + ], + [ + 81628825, + 23233063 + ], + [ + 43219968, + 27645136 + ], + [ + 38112730, + 78644912 + ], + [ + 61928532, + 61227677 + ], + [ + 85173029, + 14333049 + ], + [ + 51842395, + 67474160 + ], + [ + 24001133, + 49758491 + ], + [ + 59071321, + 57383561 + ], + [ + 28128679, + 53658203 + ], + [ + 842733, + 66187200 + ], + [ + 40455644, + 62699298 + ], + [ + 71765399, + 70379859 + ], + [ + 86412325, + 76280193 + ], + [ + 84022990, + 67263044 + ], + [ + 62694052, + 56234883 + ], + [ + 80195884, + 11504281 + ], + [ + 30968846, + 21648294 + ], + [ + 63166084, + 62414696 + ], + [ + 70775415, + 92645121 + ], + [ + 47928523, + 19510962 + ], + [ + 1595530, + 8737205 + ], + [ + 66579231, + 97342076 + ], + [ + 90377195, + 41374020 + ], + [ + 67421459, + 88587032 + ], + [ + 4724854, + 98312154 + ], + [ + 27044851, + 2979998 + ], + [ + 85129563, + 26019005 + ], + [ + 29225140, + 73292160 + ], + [ + 56188847, + 84206402 + ], + [ + 35875829, + 83888590 + ], + [ + 59301872, + 84083639 + ], + [ + 55554268, + 90783269 + ], + [ + 39092054, + 93390904 + ], + [ + 28483310, + 40407869 + ], + [ + 23840176, + 81331828 + ], + [ + 54475704, + 80277879 + ], + [ + 41904778, + 94664435 + ], + [ + 36385596, + 17225018 + ], + [ + 46345136, + 78877558 + ], + [ + 87771850, + 92460797 + ], + [ + 70716870, + 16687184 + ], + [ + 7146276, + 19120884 + ], + [ + 4534156, + 59331731 + ], + [ + 26880573, + 62137152 + ], + [ + 57145741, + 85921997 + ], + [ + 36100057, + 89344693 + ], + [ + 95656986, + 27007724 + ], + [ + 34967540, + 46732749 + ], + [ + 6269060, + 19928297 + ], + [ + 10703891, + 18621834 + ], + [ + 3116092, + 22888807 + ], + [ + 99807115, + 53711228 + ], + [ + 58347223, + 68590917 + ], + [ + 90579300, + 79187250 + ], + [ + 10079284, + 48861545 + ], + [ + 31673526, + 9949247 + ], + [ + 36786154, + 41586883 + ], + [ + 82238664, + 54582966 + ], + [ + 43249947, + 24839058 + ], + [ + 91308906, + 47415895 + ], + [ + 31818773, + 86794627 + ], + [ + 27525503, + 33800634 + ], + [ + 71266423, + 64407095 + ], + [ + 11621775, + 91954613 + ], + [ + 60057917, + 9467318 + ], + [ + 75153356, + 18847418 + ], + [ + 56341449, + 40109857 + ], + [ + 99003629, + 66696811 + ], + [ + 21030999, + 63672169 + ], + [ + 16004580, + 45978636 + ], + [ + 584065, + 63168988 + ], + [ + 25194093, + 69324597 + ], + [ + 94316817, + 51705014 + ], + [ + 37300439, + 30070055 + ], + [ + 5283291, + 41626092 + ], + [ + 51547287, + 24962437 + ], + [ + 45602866, + 90825134 + ], + [ + 51184273, + 58153958 + ], + [ + 13013201, + 95758108 + ], + [ + 47972063, + 34157066 + ], + [ + 16488025, + 54148002 + ], + [ + 44408166, + 73411282 + ], + [ + 27328872, + 82696467 + ], + [ + 2741211, + 77672056 + ], + [ + 17928977, + 59345224 + ], + [ + 47016843, + 81086303 + ], + [ + 11258136, + 51286939 + ], + [ + 57125898, + 59107164 + ], + [ + 311192, + 96495779 + ], + [ + 6710749, + 37623059 + ], + [ + 98478509, + 45476190 + ], + [ + 69855011, + 38789795 + ], + [ + 40878055, + 88198784 + ], + [ + 37386674, + 81883260 + ], + [ + 83391633, + 56599423 + ], + [ + 38484298, + 74397310 + ], + [ + 60247816, + 77773042 + ], + [ + 8439906, + 70349795 + ], + [ + 60806348, + 35414904 + ], + [ + 93339769, + 8108518 + ], + [ + 77553264, + 5249091 + ], + [ + 75577188, + 34348714 + ], + [ + 13001929, + 78688180 + ], + [ + 82309062, + 34772632 + ], + [ + 88471572, + 66525514 + ], + [ + 71318487, + 97863600 + ], + [ + 80499929, + 17566330 + ], + [ + 79691172, + 46061155 + ], + [ + 60761646, + 65566639 + ], + [ + 58116913, + 99614640 + ], + [ + 57434227, + 56004422 + ], + [ + 37976363, + 40552253 + ], + [ + 97623971, + 40237686 + ], + [ + 27963089, + 90003785 + ], + [ + 63452438, + 90261722 + ], + [ + 43608865, + 76202034 + ], + [ + 23637132, + 22729819 + ], + [ + 20316679, + 23652030 + ], + [ + 31097349, + 36083553 + ], + [ + 50116809, + 40512643 + ], + [ + 33608188, + 66417428 + ], + [ + 23068290, + 64813015 + ], + [ + 43248999, + 10883632 + ], + [ + 32055097, + 69886039 + ], + [ + 46333292, + 48753803 + ], + [ + 57695331, + 33368912 + ], + [ + 67824610, + 95406729 + ], + [ + 91976482, + 49725032 + ], + [ + 3519415, + 98167998 + ], + [ + 6119109, + 3848556 + ], + [ + 36069001, + 64300802 + ], + [ + 44265089, + 24331724 + ], + [ + 47231708, + 77970612 + ], + [ + 13235757, + 59618926 + ], + [ + 27474125, + 62953806 + ], + [ + 66257715, + 78182919 + ], + [ + 63233743, + 6606208 + ], + [ + 79809714, + 41128208 + ], + [ + 76444372, + 39259370 + ], + [ + 93760642, + 70088994 + ], + [ + 40719223, + 92379690 + ], + [ + 72996911, + 42219572 + ], + [ + 41763098, + 84575663 + ], + [ + 90017609, + 57835786 + ], + [ + 35582894, + 46581238 + ], + [ + 94435577, + 39302973 + ], + [ + 39438796, + 73596655 + ], + [ + 36761579, + 60063479 + ], + [ + 87075217, + 81712529 + ], + [ + 5754484, + 44961564 + ], + [ + 40001025, + 12407938 + ], + [ + 15565553, + 59194789 + ], + [ + 18853054, + 55441682 + ], + [ + 29564185, + 87028093 + ], + [ + 81676984, + 24826948 + ], + [ + 99867893, + 64482072 + ], + [ + 66084896, + 26650577 + ], + [ + 93125995, + 31644275 + ], + [ + 20757459, + 92241397 + ], + [ + 18049942, + 34227688 + ], + [ + 28930620, + 55889382 + ], + [ + 92727991, + 66716124 + ], + [ + 95302424, + 87575228 + ], + [ + 62706439, + 24931645 + ], + [ + 89445161, + 47123862 + ], + [ + 64544624, + 79135263 + ], + [ + 48943113, + 28870274 + ], + [ + 47802295, + 72814148 + ], + [ + 58921580, + 20959010 + ], + [ + 55700089, + 15723226 + ], + [ + 32308914, + 39180376 + ], + [ + 12736689, + 73083973 + ], + [ + 14177006, + 16117093 + ], + [ + 68883834, + 64411088 + ], + [ + 81773642, + 45020525 + ], + [ + 40445931, + 91099742 + ], + [ + 79521736, + 80335469 + ], + [ + 55608302, + 67470715 + ], + [ + 52509964, + 35417935 + ], + [ + 27111729, + 73203346 + ], + [ + 78251830, + 45559440 + ], + [ + 43047811, + 29174026 + ], + [ + 64295979, + 64664147 + ], + [ + 51202253, + 62957974 + ], + [ + 53231834, + 98061572 + ], + [ + 72456977, + 35080696 + ], + [ + 20923003, + 37801299 + ], + [ + 3338704, + 31495160 + ], + [ + 70714796, + 34870203 + ], + [ + 70351495, + 99857126 + ], + [ + 19163005, + 14814953 + ], + [ + 3623929, + 75231204 + ], + [ + 45517370, + 8693658 + ], + [ + 6190206, + 6692679 + ], + [ + 16771936, + 99397270 + ], + [ + 20006623, + 37876685 + ], + [ + 29544654, + 27129283 + ], + [ + 99635387, + 44253207 + ], + [ + 70747269, + 79830082 + ], + [ + 73577896, + 87187677 + ], + [ + 94233166, + 24499274 + ], + [ + 56410139, + 61560648 + ], + [ + 39974175, + 6385950 + ], + [ + 97439297, + 89038619 + ], + [ + 36160058, + 92435586 + ], + [ + 49437231, + 1216952 + ], + [ + 35451238, + 97268263 + ], + [ + 95591210, + 44332768 + ], + [ + 32735837, + 59889973 + ], + [ + 17195028, + 29040578 + ], + [ + 98434661, + 48211715 + ], + [ + 95626790, + 72088474 + ], + [ + 52959876, + 33881675 + ], + [ + 71232709, + 91298783 + ], + [ + 42782365, + 52658841 + ], + [ + 61777128, + 97980739 + ], + [ + 37845790, + 84029166 + ], + [ + 92113673, + 9388233 + ], + [ + 13037675, + 8494458 + ], + [ + 20018607, + 84686556 + ], + [ + 39735587, + 77645933 + ], + [ + 82692357, + 76829004 + ], + [ + 47271080, + 88112254 + ], + [ + 25562074, + 3083527 + ], + [ + 55173286, + 2118091 + ], + [ + 90727976, + 83565159 + ], + [ + 51168408, + 27245301 + ], + [ + 2556403, + 25409724 + ], + [ + 5046394, + 96158733 + ], + [ + 90253820, + 99325867 + ], + [ + 81761742, + 17051833 + ], + [ + 80476624, + 32870771 + ], + [ + 97256237, + 3938909 + ], + [ + 25133456, + 19274662 + ], + [ + 26909180, + 43409416 + ], + [ + 66997898, + 99210603 + ], + [ + 83336794, + 23678887 + ], + [ + 61473504, + 40498698 + ], + [ + 33620997, + 31784100 + ], + [ + 65021550, + 40062303 + ], + [ + 33837262, + 3739340 + ], + [ + 49462442, + 38524922 + ], + [ + 65221351, + 92785881 + ], + [ + 64853644, + 17829795 + ], + [ + 50993252, + 85060878 + ], + [ + 96243264, + 77067109 + ], + [ + 52920818, + 42963809 + ], + [ + 60233000, + 21700434 + ], + [ + 60587559, + 32821890 + ], + [ + 78140265, + 7501720 + ], + [ + 49894794, + 78698097 + ], + [ + 45658786, + 86345185 + ], + [ + 54555975, + 34480614 + ], + [ + 93110198, + 84481662 + ], + [ + 13583929, + 48023274 + ], + [ + 22754148, + 44911848 + ], + [ + 49762592, + 58411497 + ], + [ + 72343737, + 26353975 + ], + [ + 82998842, + 14512335 + ], + [ + 44810461, + 30988793 + ], + [ + 85853497, + 42405810 + ], + [ + 55940058, + 58055262 + ], + [ + 62605194, + 98750332 + ], + [ + 91308697, + 85028 + ], + [ + 68466060, + 76906702 + ], + [ + 483401, + 94463404 + ], + [ + 42697525, + 17748311 + ], + [ + 84917459, + 98504616 + ], + [ + 53082984, + 68861638 + ], + [ + 99488688, + 41369744 + ], + [ + 27337152, + 50577441 + ], + [ + 4390624, + 18298068 + ], + [ + 42025283, + 76109986 + ], + [ + 52592023, + 5648558 + ], + [ + 3876603, + 73841260 + ], + [ + 71318815, + 79750338 + ], + [ + 38091470, + 7196051 + ], + [ + 2680659, + 45695523 + ], + [ + 1973566, + 98465877 + ], + [ + 28932706, + 42959429 + ], + [ + 27917138, + 14150059 + ], + [ + 97313630, + 29250080 + ], + [ + 59117626, + 8336869 + ], + [ + 64185841, + 26497416 + ], + [ + 55635735, + 30471428 + ], + [ + 32497186, + 18395049 + ], + [ + 22950803, + 66782190 + ], + [ + 21072072, + 17442804 + ], + [ + 62616529, + 86398566 + ], + [ + 80409780, + 54037773 + ], + [ + 21603647, + 57000303 + ], + [ + 30572734, + 37748232 + ], + [ + 49507703, + 94940838 + ], + [ + 73916064, + 27455203 + ], + [ + 90225803, + 48665196 + ], + [ + 77782069, + 87573071 + ], + [ + 69265858, + 23889609 + ], + [ + 94869871, + 69650730 + ], + [ + 97241118, + 67714491 + ], + [ + 32545347, + 63594838 + ], + [ + 30015345, + 58312227 + ], + [ + 24282129, + 54842711 + ], + [ + 49587763, + 37545180 + ], + [ + 99674694, + 53300794 + ], + [ + 69955123, + 69605892 + ], + [ + 53440829, + 81071645 + ], + [ + 15219336, + 75610302 + ], + [ + 32246942, + 1143117 + ], + [ + 91178950, + 19274809 + ], + [ + 35482167, + 47817737 + ], + [ + 88313863, + 85533513 + ], + [ + 57891460, + 52678746 + ], + [ + 48473557, + 75554872 + ], + [ + 28220635, + 27581503 + ], + [ + 9895572, + 45134455 + ], + [ + 67977878, + 54820653 + ], + [ + 1802899, + 97200967 + ], + [ + 93650076, + 94351614 + ], + [ + 32825668, + 95596251 + ], + [ + 89919967, + 98634682 + ], + [ + 21413096, + 27677552 + ], + [ + 22197785, + 8810189 + ], + [ + 52815514, + 16735908 + ], + [ + 90748164, + 84569087 + ], + [ + 73451030, + 88418494 + ], + [ + 57541624, + 58337937 + ], + [ + 21481603, + 38208054 + ], + [ + 72726251, + 92030940 + ], + [ + 32958040, + 17450651 + ], + [ + 23680101, + 38000970 + ], + [ + 86685607, + 81732011 + ], + [ + 3409929, + 39342230 + ], + [ + 66909834, + 77463990 + ], + [ + 22285767, + 83734654 + ], + [ + 19533612, + 53876595 + ], + [ + 38227908, + 43879775 + ], + [ + 27647095, + 36098343 + ], + [ + 88979097, + 94277148 + ], + [ + 3895947, + 17656500 + ], + [ + 39278935, + 70408617 + ], + [ + 51897599, + 64111752 + ], + [ + 26690427, + 65992998 + ], + [ + 74352333, + 44438329 + ], + [ + 74053719, + 97417808 + ], + [ + 18232872, + 6140234 + ], + [ + 65513552, + 54542816 + ], + [ + 25478644, + 84462462 + ], + [ + 5835362, + 87657553 + ], + [ + 43603121, + 58812481 + ], + [ + 76719128, + 12674957 + ], + [ + 19260639, + 31721864 + ], + [ + 97686251, + 34062165 + ], + [ + 83307936, + 34529005 + ], + [ + 75495744, + 99394901 + ], + [ + 59600792, + 52733489 + ], + [ + 30059846, + 89822634 + ], + [ + 36725292, + 44717416 + ], + [ + 35726965, + 66522327 + ], + [ + 51025460, + 84044152 + ], + [ + 81874888, + 68886429 + ], + [ + 43521684, + 38980406 + ], + [ + 40149638, + 99637213 + ], + [ + 31734669, + 50868941 + ], + [ + 25448394, + 20056159 + ], + [ + 1299640, + 39087935 + ], + [ + 57243679, + 7106512 + ], + [ + 27706104, + 95511663 + ], + [ + 87431558, + 52503537 + ], + [ + 24187256, + 74519508 + ], + [ + 71750069, + 81207758 + ], + [ + 82343890, + 83927674 + ], + [ + 12849867, + 84258363 + ], + [ + 83512522, + 57402674 + ], + [ + 92031511, + 42515124 + ], + [ + 95197003, + 31562488 + ], + [ + 10630561, + 42184254 + ], + [ + 38418003, + 72096293 + ], + [ + 59071606, + 53703538 + ], + [ + 45112471, + 88384034 + ], + [ + 76493898, + 44481981 + ], + [ + 51283914, + 10440121 + ], + [ + 77706341, + 17977745 + ], + [ + 76467245, + 45200253 + ], + [ + 82516742, + 9421689 + ], + [ + 54374733, + 98177284 + ], + [ + 83503447, + 3764770 + ], + [ + 76122330, + 60414247 + ], + [ + 57517320, + 29226601 + ], + [ + 31969899, + 67324345 + ], + [ + 99389265, + 64757157 + ], + [ + 36148131, + 77368934 + ], + [ + 84918845, + 64310167 + ], + [ + 38513816, + 85570713 + ], + [ + 90613576, + 56117255 + ], + [ + 1416251, + 50500709 + ], + [ + 20796498, + 30126741 + ], + [ + 91437320, + 37825201 + ], + [ + 85103294, + 48847354 + ], + [ + 66229367, + 52787784 + ], + [ + 68565872, + 78959677 + ], + [ + 55307485, + 19306951 + ], + [ + 7054124, + 71129755 + ], + [ + 98066643, + 81942601 + ], + [ + 38238418, + 70683136 + ], + [ + 72929098, + 63317064 + ], + [ + 3440451, + 5016852 + ], + [ + 1613043, + 80970621 + ], + [ + 68646348, + 46376875 + ], + [ + 53401828, + 29408998 + ], + [ + 20705941, + 94215815 + ], + [ + 32687334, + 87966257 + ], + [ + 59767156, + 89664594 + ], + [ + 68974756, + 9787895 + ], + [ + 55807540, + 90094591 + ], + [ + 66370939, + 67174768 + ], + [ + 4833050, + 27046393 + ], + [ + 14170983, + 5591 + ], + [ + 93051193, + 37141620 + ], + [ + 87497384, + 62691145 + ], + [ + 96771069, + 92928440 + ], + [ + 62897024, + 54021037 + ], + [ + 44580021, + 41608772 + ], + [ + 34946581, + 67258701 + ], + [ + 23816891, + 58716388 + ], + [ + 92146642, + 3744929 + ], + [ + 3173835, + 9543583 + ], + [ + 3283547, + 47512848 + ], + [ + 22534779, + 43954418 + ], + [ + 5411661, + 84413727 + ], + [ + 29444810, + 63994221 + ], + [ + 80158424, + 59229852 + ], + [ + 34635412, + 54897176 + ], + [ + 30109838, + 31788756 + ], + [ + 34624300, + 33137578 + ], + [ + 51574155, + 62785152 + ], + [ + 52838875, + 21777908 + ], + [ + 35315909, + 20724938 + ], + [ + 44408708, + 96054598 + ], + [ + 77777897, + 48904765 + ], + [ + 67335357, + 92560420 + ], + [ + 32118275, + 82547067 + ], + [ + 17206111, + 37576062 + ], + [ + 54351321, + 82256432 + ], + [ + 98955033, + 31625945 + ], + [ + 93598835, + 90665048 + ], + [ + 52479309, + 14811732 + ], + [ + 21070212, + 64730814 + ], + [ + 8639033, + 50894791 + ], + [ + 95556897, + 10658789 + ], + [ + 11628114, + 37090476 + ], + [ + 16415231, + 39172885 + ], + [ + 38488016, + 19533288 + ], + [ + 14836772, + 90186803 + ], + [ + 93751529, + 73631128 + ], + [ + 496419, + 11535341 + ], + [ + 22550386, + 61796126 + ], + [ + 45437564, + 98488138 + ], + [ + 80386064, + 57495326 + ], + [ + 32449657, + 21419447 + ], + [ + 13281527, + 81128665 + ], + [ + 59547401, + 79558099 + ], + [ + 97829883, + 88163602 + ], + [ + 90761886, + 53743959 + ], + [ + 25289457, + 31440596 + ], + [ + 60646792, + 79309421 + ], + [ + 60738270, + 66125622 + ], + [ + 71230139, + 65663107 + ], + [ + 90858203, + 73965411 + ], + [ + 94439830, + 15229210 + ], + [ + 72334277, + 91314174 + ], + [ + 55996586, + 64517337 + ], + [ + 22947297, + 55450001 + ], + [ + 77129357, + 21234670 + ], + [ + 59367363, + 35840040 + ], + [ + 72162608, + 11211473 + ], + [ + 29347894, + 6261253 + ], + [ + 30916504, + 38549936 + ], + [ + 5432717, + 27001118 + ], + [ + 15045675, + 95611146 + ], + [ + 42850628, + 75413994 + ], + [ + 67765916, + 32248506 + ], + [ + 68565490, + 27394055 + ], + [ + 34671768, + 49026988 + ], + [ + 17603768, + 66986583 + ], + [ + 93231283, + 33464361 + ], + [ + 31247836, + 69608618 + ], + [ + 25556644, + 51213169 + ], + [ + 12301807, + 12892058 + ], + [ + 84215838, + 10624595 + ], + [ + 83319006, + 68973270 + ], + [ + 34368196, + 4386740 + ], + [ + 80001697, + 90240988 + ], + [ + 36924843, + 24024275 + ], + [ + 11688981, + 85653437 + ], + [ + 4048846, + 77028740 + ], + [ + 80998567, + 90793744 + ], + [ + 56508149, + 93668888 + ], + [ + 62169331, + 19954137 + ], + [ + 67938924, + 24447069 + ], + [ + 86380592, + 14111412 + ], + [ + 72837742, + 57102000 + ], + [ + 6111483, + 38392865 + ], + [ + 81225596, + 31545422 + ], + [ + 49941199, + 66745514 + ], + [ + 71119309, + 83488860 + ], + [ + 80672311, + 36970716 + ], + [ + 40789669, + 21444279 + ], + [ + 19013118, + 56557869 + ], + [ + 31968445, + 37642985 + ], + [ + 9914666, + 35382362 + ], + [ + 60387945, + 88089485 + ], + [ + 54064526, + 58086686 + ], + [ + 83129985, + 37804221 + ], + [ + 60969325, + 37720979 + ], + [ + 44633969, + 17106618 + ], + [ + 66087392, + 11858069 + ], + [ + 36959679, + 42982348 + ], + [ + 24599866, + 3507032 + ], + [ + 27222962, + 67309066 + ], + [ + 69623746, + 93500854 + ], + [ + 32645660, + 82166403 + ], + [ + 77648040, + 33932763 + ], + [ + 39425757, + 1086403 + ], + [ + 73645406, + 87525368 + ], + [ + 71117311, + 60488882 + ], + [ + 10859555, + 17056395 + ], + [ + 58848452, + 77616746 + ], + [ + 7377375, + 98244534 + ], + [ + 92831500, + 23073103 + ], + [ + 85164262, + 76210744 + ], + [ + 92499150, + 98460675 + ], + [ + 89120218, + 80587356 + ], + [ + 21213199, + 75053894 + ], + [ + 1181818, + 76913927 + ], + [ + 39180338, + 78265235 + ], + [ + 9615430, + 75707751 + ], + [ + 56920392, + 83031125 + ], + [ + 19642887, + 56283715 + ], + [ + 2998515, + 96445104 + ], + [ + 13649795, + 68817301 + ], + [ + 98742108, + 87707595 + ], + [ + 77455809, + 29674476 + ], + [ + 43570459, + 78872229 + ], + [ + 8140048, + 19137730 + ], + [ + 69000283, + 15175159 + ], + [ + 31960769, + 48880558 + ], + [ + 80438457, + 19174939 + ], + [ + 25327572, + 80683593 + ], + [ + 41902909, + 44066648 + ], + [ + 20112701, + 56114950 + ], + [ + 11481965, + 12563721 + ], + [ + 42284583, + 3915111 + ], + [ + 65423983, + 4997637 + ], + [ + 61015204, + 50688481 + ], + [ + 90742447, + 11649374 + ], + [ + 78355196, + 85345363 + ], + [ + 56983675, + 40118773 + ], + [ + 67203636, + 77700643 + ], + [ + 57848246, + 42086343 + ], + [ + 99958745, + 47404504 + ], + [ + 11214378, + 1218317 + ], + [ + 27203873, + 19876180 + ], + [ + 13732889, + 2693835 + ], + [ + 13539861, + 88986767 + ], + [ + 96814114, + 28991610 + ], + [ + 25441714, + 44496950 + ], + [ + 46947415, + 10921539 + ], + [ + 51329197, + 81174876 + ], + [ + 92882562, + 83081436 + ], + [ + 726587, + 31771904 + ], + [ + 34350276, + 6411521 + ], + [ + 40792037, + 9052579 + ], + [ + 7920799, + 30342454 + ], + [ + 45401552, + 21189521 + ], + [ + 98907386, + 15727432 + ], + [ + 2836192, + 87414751 + ], + [ + 62232510, + 75878590 + ], + [ + 23367242, + 88261217 + ], + [ + 58928403, + 74587178 + ], + [ + 19276274, + 63929815 + ], + [ + 97855649, + 93801775 + ], + [ + 45314597, + 3902920 + ], + [ + 91222530, + 13622453 + ], + [ + 73678294, + 34710318 + ], + [ + 74992678, + 17629451 + ], + [ + 62884931, + 99463511 + ], + [ + 67844447, + 85555838 + ], + [ + 46806332, + 85267111 + ], + [ + 675099, + 9516572 + ], + [ + 26906687, + 33912636 + ], + [ + 16555221, + 55896651 + ], + [ + 63919989, + 56921341 + ], + [ + 64602651, + 16596043 + ], + [ + 14145320, + 2006121 + ], + [ + 58342780, + 37248786 + ], + [ + 99334488, + 72025909 + ], + [ + 63104334, + 57459240 + ], + [ + 85314040, + 75823257 + ], + [ + 51199802, + 29509029 + ], + [ + 29013689, + 84719446 + ], + [ + 56298654, + 43132125 + ], + [ + 40544479, + 60553205 + ], + [ + 49873201, + 11099612 + ], + [ + 58316156, + 3423414 + ], + [ + 6202481, + 23541093 + ], + [ + 75884394, + 21023995 + ], + [ + 60342804, + 8315409 + ], + [ + 23326156, + 93108291 + ], + [ + 42252335, + 12017617 + ], + [ + 90857781, + 58491458 + ], + [ + 20133672, + 8644405 + ], + [ + 97696645, + 58625497 + ], + [ + 6042700, + 54007439 + ], + [ + 57102569, + 81266293 + ], + [ + 63022310, + 16149308 + ], + [ + 10116916, + 64462889 + ], + [ + 44136473, + 33207377 + ], + [ + 12152671, + 66397817 + ], + [ + 2225040, + 84784307 + ], + [ + 49956526, + 77122266 + ], + [ + 36587731, + 4926001 + ], + [ + 9008162, + 39125018 + ], + [ + 22070956, + 58950300 + ], + [ + 94510615, + 36933665 + ], + [ + 8918145, + 78640211 + ], + [ + 73273205, + 1570060 + ], + [ + 15470012, + 92277646 + ], + [ + 76360556, + 96194217 + ], + [ + 78412495, + 36844354 + ], + [ + 21785674, + 40430718 + ], + [ + 48476214, + 10756298 + ], + [ + 52713230, + 56692315 + ], + [ + 12189522, + 21025790 + ], + [ + 14443898, + 71371183 + ], + [ + 81655651, + 34171222 + ], + [ + 6491746, + 94478717 + ], + [ + 90071026, + 38676955 + ], + [ + 57665685, + 24729884 + ], + [ + 3596780, + 68332144 + ], + [ + 11509599, + 27888985 + ], + [ + 32065468, + 43880739 + ], + [ + 79442406, + 10531180 + ], + [ + 2564401, + 55913799 + ], + [ + 81386394, + 87779922 + ], + [ + 84506575, + 1726082 + ], + [ + 93667169, + 19763538 + ], + [ + 63389592, + 15298183 + ], + [ + 53843639, + 41052326 + ], + [ + 60310080, + 58573213 + ], + [ + 36791007, + 59181071 + ], + [ + 95457267, + 74834135 + ], + [ + 75792672, + 59477099 + ], + [ + 92101050, + 59796204 + ], + [ + 63332499, + 50480941 + ], + [ + 271368, + 92038157 + ], + [ + 82209619, + 46532480 + ], + [ + 11155883, + 65796624 + ], + [ + 48755499, + 69701706 + ], + [ + 89405658, + 44859876 + ], + [ + 45499306, + 3829077 + ], + [ + 99699423, + 11234495 + ], + [ + 15030920, + 49613987 + ], + [ + 48226257, + 61570814 + ], + [ + 30222663, + 19967402 + ], + [ + 42904677, + 43783759 + ], + [ + 76828737, + 68758822 + ], + [ + 52520933, + 65056844 + ], + [ + 768330, + 6490863 + ], + [ + 91697788, + 408587 + ], + [ + 82630722, + 78962110 + ], + [ + 97436874, + 94642767 + ], + [ + 552002, + 83350369 + ], + [ + 4981090, + 80709005 + ], + [ + 59946012, + 95154255 + ], + [ + 24284367, + 68187857 + ], + [ + 10493030, + 78782703 + ], + [ + 76197305, + 88419397 + ], + [ + 90286082, + 8537713 + ], + [ + 34484048, + 35450357 + ], + [ + 3851309, + 63362144 + ], + [ + 27852016, + 72945626 + ], + [ + 79043910, + 93890504 + ], + [ + 42912155, + 50306663 + ], + [ + 84988252, + 1805632 + ], + [ + 37727832, + 30140662 + ], + [ + 7711863, + 23887406 + ], + [ + 94236534, + 53541397 + ], + [ + 38761996, + 8915803 + ], + [ + 87412237, + 53680689 + ], + [ + 46561639, + 37655578 + ], + [ + 37862377, + 64622542 + ], + [ + 32016666, + 67649266 + ], + [ + 4753098, + 16283346 + ], + [ + 12129509, + 65854964 + ], + [ + 3771027, + 35591084 + ], + [ + 57658338, + 5236276 + ], + [ + 68791754, + 58454945 + ], + [ + 72801140, + 58549994 + ], + [ + 68113182, + 93101504 + ], + [ + 71980474, + 86270424 + ], + [ + 96062327, + 96714836 + ], + [ + 8884811, + 42309279 + ], + [ + 41380591, + 64130759 + ], + [ + 85988135, + 21990134 + ], + [ + 29336619, + 26488788 + ], + [ + 36868490, + 57100325 + ], + [ + 89371166, + 47468380 + ], + [ + 18316919, + 58294535 + ], + [ + 93192089, + 68983371 + ], + [ + 66055709, + 98500213 + ], + [ + 35932707, + 48073443 + ], + [ + 72830157, + 4683744 + ], + [ + 10922157, + 28550055 + ], + [ + 67928560, + 78962826 + ], + [ + 30033800, + 36539172 + ], + [ + 98724517, + 90054826 + ], + [ + 94561416, + 80354909 + ], + [ + 45726135, + 68498297 + ], + [ + 69527752, + 37237850 + ], + [ + 13845914, + 20984386 + ], + [ + 91981685, + 55005456 + ], + [ + 75662142, + 78684507 + ], + [ + 57130510, + 98848763 + ], + [ + 98906333, + 14726719 + ], + [ + 79549939, + 60105038 + ], + [ + 21639532, + 9898495 + ], + [ + 47253114, + 77851716 + ], + [ + 47219889, + 20702139 + ], + [ + 37245180, + 47700500 + ], + [ + 58183717, + 1242313 + ], + [ + 99514606, + 35125344 + ], + [ + 57472517, + 28372784 + ], + [ + 5838511, + 296571 + ], + [ + 17822021, + 29724209 + ], + [ + 94670245, + 61982974 + ], + [ + 95838913, + 48401170 + ], + [ + 45709337, + 52494629 + ], + [ + 9438813, + 48764175 + ], + [ + 78047929, + 19939727 + ], + [ + 98922903, + 85633287 + ], + [ + 14789959, + 77123877 + ], + [ + 25667225, + 97206263 + ], + [ + 49672798, + 50000232 + ], + [ + 1258648, + 53563533 + ], + [ + 79935851, + 11405292 + ], + [ + 31302442, + 17396258 + ], + [ + 56020694, + 1651931 + ], + [ + 98773600, + 54670896 + ], + [ + 75681464, + 62040545 + ], + [ + 82873039, + 97249205 + ], + [ + 85025944, + 22109502 + ], + [ + 74485664, + 73490342 + ], + [ + 39488665, + 31611677 + ], + [ + 48119629, + 41152641 + ], + [ + 16523095, + 72222961 + ], + [ + 76546776, + 29767758 + ], + [ + 84267575, + 77544605 + ], + [ + 85516444, + 2906562 + ], + [ + 22284024, + 53886992 + ], + [ + 16437606, + 5747666 + ], + [ + 63237233, + 13353676 + ], + [ + 57872649, + 20209059 + ], + [ + 32718635, + 61936394 + ], + [ + 47859420, + 2460220 + ], + [ + 3515540, + 4915423 + ], + [ + 93232029, + 53937660 + ], + [ + 52405264, + 63286447 + ], + [ + 30750870, + 91648186 + ], + [ + 44958486, + 10384236 + ], + [ + 27276686, + 81356473 + ], + [ + 56492026, + 12746502 + ], + [ + 92019172, + 28570221 + ], + [ + 60305603, + 22881589 + ], + [ + 47382475, + 43341838 + ], + [ + 67421573, + 22928645 + ], + [ + 44794578, + 70407968 + ], + [ + 13606094, + 14417617 + ], + [ + 40556751, + 70417898 + ], + [ + 53449223, + 83855653 + ], + [ + 69914708, + 72283954 + ], + [ + 49261229, + 20010316 + ], + [ + 42809353, + 61917453 + ], + [ + 18507214, + 55980477 + ], + [ + 94816161, + 42803523 + ], + [ + 98811319, + 87986214 + ], + [ + 52976319, + 67359998 + ], + [ + 1465906, + 42847649 + ], + [ + 12454705, + 61738770 + ], + [ + 48537730, + 32035099 + ], + [ + 97569229, + 7998248 + ], + [ + 48091977, + 82635042 + ], + [ + 50760520, + 85700170 + ], + [ + 17478672, + 61771920 + ], + [ + 32505745, + 59052480 + ], + [ + 99115215, + 56489270 + ], + [ + 7993400, + 48741073 + ], + [ + 4928159, + 6409821 + ], + [ + 44075022, + 64975516 + ], + [ + 12344693, + 8231315 + ], + [ + 28415854, + 62728054 + ], + [ + 33461420, + 66699730 + ], + [ + 24433788, + 59226690 + ], + [ + 36560540, + 70000402 + ], + [ + 43059004, + 39842960 + ], + [ + 52978457, + 48542574 + ], + [ + 22508140, + 39040473 + ], + [ + 55196819, + 18704832 + ], + [ + 89686016, + 79405392 + ], + [ + 48797653, + 79298054 + ], + [ + 56865989, + 2501105 + ], + [ + 99486905, + 4717401 + ], + [ + 48584979, + 56742488 + ], + [ + 71594995, + 8330683 + ], + [ + 77874494, + 35577885 + ], + [ + 53179792, + 14988228 + ], + [ + 18335430, + 25664290 + ], + [ + 83730001, + 82199185 + ], + [ + 92964266, + 7553980 + ], + [ + 11945228, + 75094314 + ], + [ + 37331958, + 88893048 + ], + [ + 48955627, + 45926498 + ], + [ + 2996775, + 84207995 + ], + [ + 15494014, + 64221736 + ], + [ + 78606742, + 9208305 + ], + [ + 72249348, + 96801799 + ], + [ + 58073330, + 17440907 + ], + [ + 41423587, + 89083689 + ], + [ + 99509954, + 7529884 + ], + [ + 23051940, + 58157808 + ], + [ + 3384390, + 44566984 + ], + [ + 68869284, + 41303618 + ], + [ + 82732540, + 33034811 + ], + [ + 54393239, + 80250590 + ], + [ + 83827106, + 55679277 + ], + [ + 1345495, + 56917395 + ], + [ + 33580518, + 25853436 + ], + [ + 81728715, + 76773602 + ], + [ + 45185262, + 73182536 + ], + [ + 55111583, + 26828558 + ], + [ + 13147508, + 44215616 + ], + [ + 22260024, + 94321135 + ], + [ + 25857633, + 5233306 + ], + [ + 20610989, + 64701903 + ], + [ + 59118303, + 48608666 + ], + [ + 37255092, + 46179209 + ], + [ + 11803578, + 19563953 + ], + [ + 19393764, + 65064091 + ], + [ + 68563139, + 31170055 + ], + [ + 65493643, + 92888301 + ], + [ + 18503310, + 92820634 + ], + [ + 9552122, + 85608074 + ], + [ + 79439560, + 11206614 + ], + [ + 4781667, + 11362460 + ], + [ + 48278658, + 44745148 + ], + [ + 53540621, + 39618259 + ], + [ + 63827923, + 12467731 + ], + [ + 96588029, + 44916434 + ], + [ + 75628198, + 96821214 + ], + [ + 10551565, + 24418838 + ], + [ + 9255176, + 7517019 + ], + [ + 63500678, + 35473883 + ], + [ + 35525567, + 88223790 + ], + [ + 88312937, + 50078733 + ], + [ + 50325877, + 36047206 + ], + [ + 56487768, + 20160822 + ], + [ + 92603489, + 16234575 + ], + [ + 37532731, + 610338 + ], + [ + 51048241, + 3651690 + ], + [ + 69675644, + 38016294 + ], + [ + 31706738, + 26066111 + ], + [ + 8683396, + 75083277 + ], + [ + 85532072, + 18312026 + ], + [ + 91133158, + 36136527 + ], + [ + 83968702, + 24807270 + ], + [ + 40045486, + 59612252 + ], + [ + 15702736, + 63019769 + ], + [ + 2676518, + 22932076 + ], + [ + 18935005, + 26305331 + ], + [ + 5808356, + 5066788 + ], + [ + 25982557, + 15215521 + ], + [ + 5592093, + 36878156 + ], + [ + 94107831, + 73310748 + ], + [ + 20588481, + 61126916 + ], + [ + 62476044, + 86129013 + ], + [ + 35370967, + 3107883 + ], + [ + 31931222, + 78044894 + ], + [ + 22987809, + 4188663 + ], + [ + 83163147, + 98624476 + ], + [ + 81535065, + 70486218 + ], + [ + 36399764, + 47802590 + ], + [ + 45032700, + 51869644 + ], + [ + 32703671, + 59976128 + ], + [ + 60030953, + 44343779 + ], + [ + 29235921, + 36715314 + ], + [ + 31310835, + 64666242 + ], + [ + 38385490, + 90307069 + ], + [ + 43882272, + 47136382 + ], + [ + 33593328, + 9713950 + ], + [ + 16201604, + 29488834 + ], + [ + 62455777, + 89182511 + ], + [ + 6308219, + 75817955 + ], + [ + 86826344, + 69715385 + ], + [ + 93055902, + 98237428 + ], + [ + 77950183, + 35666741 + ], + [ + 17395723, + 8438575 + ], + [ + 25130477, + 34833533 + ], + [ + 12642809, + 94198279 + ], + [ + 47208106, + 41176703 + ], + [ + 92527387, + 46108210 + ], + [ + 23882775, + 6954663 + ], + [ + 53274103, + 52302213 + ], + [ + 1605788, + 44698097 + ], + [ + 92365639, + 16798786 + ], + [ + 41011198, + 66490020 + ], + [ + 84244108, + 39088250 + ], + [ + 22858392, + 41789563 + ], + [ + 58133508, + 85836637 + ], + [ + 14827745, + 33611506 + ], + [ + 71369794, + 9620868 + ], + [ + 46194928, + 52014748 + ], + [ + 23990781, + 18921810 + ], + [ + 99145667, + 89084873 + ], + [ + 13419557, + 65554343 + ], + [ + 35706091, + 50902322 + ], + [ + 15634808, + 80586584 + ], + [ + 66198358, + 51826668 + ], + [ + 22932281, + 63898578 + ], + [ + 75271490, + 10928675 + ], + [ + 97317754, + 82326197 + ], + [ + 18947564, + 6725635 + ], + [ + 34342977, + 40392893 + ], + [ + 46607128, + 69181586 + ], + [ + 31754810, + 32454499 + ], + [ + 90184158, + 38885081 + ], + [ + 65478136, + 25069299 + ], + [ + 67719346, + 27663181 + ], + [ + 48944393, + 72471458 + ], + [ + 59774388, + 47545451 + ], + [ + 93350729, + 42066097 + ], + [ + 13522636, + 18551627 + ], + [ + 82388649, + 2416701 + ], + [ + 89616627, + 74981019 + ], + [ + 69420227, + 94284450 + ], + [ + 76357347, + 68333938 + ], + [ + 35059390, + 77505570 + ], + [ + 70610596, + 70795575 + ], + [ + 36350131, + 34439272 + ], + [ + 33167265, + 71998246 + ], + [ + 67091132, + 76240410 + ], + [ + 24796449, + 72578403 + ], + [ + 50028533, + 40894286 + ], + [ + 12725817, + 24116123 + ], + [ + 62097955, + 39317276 + ], + [ + 84722240, + 17473885 + ], + [ + 97519971, + 43542231 + ], + [ + 403191, + 22528965 + ], + [ + 87877388, + 7018524 + ], + [ + 54046733, + 91591578 + ], + [ + 27178588, + 80920901 + ], + [ + 25090967, + 21468823 + ], + [ + 63898575, + 71000302 + ], + [ + 72986058, + 55454431 + ], + [ + 35091839, + 51487347 + ], + [ + 14232889, + 37239865 + ], + [ + 760698, + 54903189 + ], + [ + 3837814, + 99271773 + ], + [ + 76864612, + 12582783 + ], + [ + 17219290, + 79669153 + ], + [ + 68706079, + 39430105 + ], + [ + 82613313, + 27247954 + ], + [ + 10304902, + 1296180 + ], + [ + 17999081, + 10783 + ], + [ + 44575, + 11771175 + ], + [ + 80814955, + 27911522 + ], + [ + 69301404, + 68857579 + ], + [ + 68890044, + 92556115 + ], + [ + 51189569, + 98703793 + ], + [ + 71306317, + 44834786 + ], + [ + 25662014, + 13063858 + ], + [ + 99512518, + 99683816 + ], + [ + 58934657, + 15588188 + ], + [ + 38884517, + 72813601 + ], + [ + 5486832, + 79429269 + ], + [ + 33281032, + 26874826 + ], + [ + 84349762, + 43022807 + ], + [ + 46634950, + 77278778 + ], + [ + 7260137, + 91871509 + ], + [ + 30698186, + 7222762 + ], + [ + 65217305, + 74382024 + ], + [ + 58783878, + 43275967 + ], + [ + 13920887, + 17989323 + ], + [ + 9633, + 96819297 + ], + [ + 83131145, + 62296822 + ], + [ + 79064871, + 65850005 + ], + [ + 54295009, + 6702958 + ], + [ + 58532693, + 51757229 + ], + [ + 61757508, + 9360961 + ], + [ + 25300546, + 23404998 + ], + [ + 84976118, + 35195018 + ], + [ + 8176086, + 96693993 + ], + [ + 24988223, + 55252179 + ], + [ + 3537060, + 69020179 + ], + [ + 21522822, + 97777531 + ], + [ + 31395998, + 14658178 + ], + [ + 7026413, + 75788387 + ], + [ + 95095596, + 66121252 + ], + [ + 11348029, + 73898764 + ], + [ + 8277117, + 17789377 + ], + [ + 18611224, + 38477246 + ], + [ + 96739181, + 56368506 + ], + [ + 14694573, + 74165837 + ], + [ + 25640447, + 49997266 + ], + [ + 59977109, + 22004791 + ], + [ + 27786285, + 67622152 + ], + [ + 79426469, + 51582854 + ], + [ + 62372717, + 17229721 + ], + [ + 74735720, + 72755395 + ], + [ + 83821030, + 60075352 + ], + [ + 94651477, + 9028697 + ], + [ + 26724846, + 5646470 + ], + [ + 13617596, + 24476580 + ], + [ + 73077604, + 95651920 + ], + [ + 46891390, + 71586462 + ], + [ + 17471829, + 27449421 + ], + [ + 70873478, + 49076060 + ], + [ + 10370754, + 97391879 + ], + [ + 98496882, + 10455795 + ], + [ + 25649276, + 18952926 + ], + [ + 89494757, + 6559271 + ], + [ + 82173640, + 3520790 + ], + [ + 5497222, + 54782392 + ], + [ + 19031311, + 64754727 + ], + [ + 31014202, + 17679870 + ], + [ + 11368835, + 2062697 + ], + [ + 45956540, + 57289674 + ], + [ + 65007383, + 80046607 + ], + [ + 21712479, + 90954442 + ], + [ + 63914886, + 85295811 + ], + [ + 19672499, + 48040224 + ], + [ + 34826423, + 46264107 + ], + [ + 4760311, + 81996341 + ], + [ + 17624076, + 10601003 + ], + [ + 63756597, + 49981022 + ], + [ + 40837319, + 18381341 + ], + [ + 940851, + 80409088 + ], + [ + 14101239, + 24379925 + ], + [ + 55293953, + 65101743 + ], + [ + 81368321, + 9727634 + ], + [ + 90811105, + 29815565 + ], + [ + 44548768, + 7411553 + ], + [ + 82041925, + 1630091 + ], + [ + 88424251, + 6759414 + ], + [ + 92920843, + 85725914 + ], + [ + 56101073, + 55713742 + ], + [ + 90057660, + 77253259 + ], + [ + 79647197, + 61003228 + ], + [ + 53376084, + 10546304 + ], + [ + 87235858, + 56198414 + ], + [ + 76195798, + 46149860 + ], + [ + 42401935, + 89115130 + ], + [ + 18233474, + 35972232 + ], + [ + 59502874, + 37027527 + ], + [ + 50696545, + 64939750 + ], + [ + 1411347, + 39182318 + ], + [ + 13219912, + 87266279 + ], + [ + 56224238, + 82454846 + ], + [ + 76045622, + 4434127 + ], + [ + 71527218, + 97678866 + ], + [ + 87691921, + 60614710 + ], + [ + 79412157, + 99681259 + ], + [ + 85772958, + 56299831 + ], + [ + 40152516, + 10075415 + ], + [ + 52878419, + 83134499 + ], + [ + 27962530, + 11160523 + ], + [ + 19266380, + 97940834 + ], + [ + 90645242, + 66036093 + ], + [ + 72500995, + 26529149 + ], + [ + 21903216, + 83649757 + ], + [ + 8858319, + 22922658 + ], + [ + 78057087, + 17549461 + ], + [ + 77362562, + 31568833 + ], + [ + 23256982, + 88993970 + ], + [ + 94711187, + 48003377 + ], + [ + 4945590, + 33216367 + ], + [ + 42297450, + 72172774 + ], + [ + 29658482, + 86374976 + ], + [ + 91575423, + 58672412 + ], + [ + 10076522, + 23202980 + ], + [ + 43406132, + 94918346 + ], + [ + 44674135, + 94988856 + ], + [ + 41819898, + 4090256 + ], + [ + 32380221, + 9052172 + ], + [ + 55098428, + 43704973 + ], + [ + 37933650, + 52196489 + ], + [ + 49824862, + 47083721 + ], + [ + 98069391, + 81084839 + ], + [ + 48107343, + 18400250 + ], + [ + 4506991, + 89020858 + ], + [ + 11125082, + 40396835 + ], + [ + 87334383, + 17297363 + ], + [ + 61408600, + 82097233 + ], + [ + 9780834, + 50512254 + ], + [ + 6299015, + 79464989 + ], + [ + 24788585, + 94907529 + ], + [ + 31977751, + 77809349 + ], + [ + 14406931, + 42779737 + ], + [ + 26855960, + 49514135 + ], + [ + 57251997, + 73213295 + ], + [ + 3866933, + 62334216 + ], + [ + 55258742, + 99403258 + ], + [ + 45426232, + 44468568 + ], + [ + 30592408, + 66947453 + ], + [ + 93835774, + 3158300 + ], + [ + 82785773, + 8753588 + ], + [ + 11685043, + 58603594 + ], + [ + 18762424, + 19286740 + ], + [ + 88998399, + 83125001 + ], + [ + 54164379, + 86348748 + ], + [ + 98063685, + 78433645 + ], + [ + 16250083, + 15188688 + ], + [ + 85205320, + 65472172 + ], + [ + 91977410, + 94590858 + ], + [ + 65071610, + 4591176 + ], + [ + 57664987, + 17579860 + ], + [ + 80791925, + 80920348 + ], + [ + 5203092, + 24667760 + ], + [ + 95450170, + 2913087 + ], + [ + 84718109, + 51833981 + ], + [ + 37237229, + 22997880 + ], + [ + 54450969, + 83977366 + ], + [ + 20014602, + 32174179 + ], + [ + 12798844, + 41223701 + ], + [ + 48960137, + 86143843 + ], + [ + 10111544, + 14437979 + ], + [ + 20985240, + 87718044 + ], + [ + 72396497, + 1547852 + ], + [ + 65625987, + 158747 + ], + [ + 41667206, + 56721844 + ], + [ + 55744861, + 28785381 + ], + [ + 90002753, + 83587066 + ], + [ + 57602968, + 23522406 + ], + [ + 6711193, + 11584068 + ], + [ + 80216829, + 22161512 + ], + [ + 61494516, + 26429392 + ], + [ + 2464147, + 37159729 + ], + [ + 3864151, + 27138166 + ], + [ + 36236052, + 86570591 + ], + [ + 60792968, + 98725258 + ], + [ + 78106316, + 18067406 + ], + [ + 54246865, + 11805058 + ], + [ + 32536673, + 52750750 + ], + [ + 88026306, + 14166540 + ], + [ + 49786215, + 64086800 + ], + [ + 84775524, + 10263878 + ], + [ + 22775139, + 35614113 + ], + [ + 45497445, + 38922009 + ], + [ + 72033117, + 70661331 + ], + [ + 65958835, + 23632527 + ], + [ + 70672126, + 75374294 + ], + [ + 24633410, + 45511610 + ], + [ + 63246135, + 91243016 + ], + [ + 36106430, + 94730947 + ], + [ + 12174593, + 57122254 + ], + [ + 50616413, + 71827915 + ], + [ + 1186746, + 15652762 + ], + [ + 19443188, + 41593647 + ], + [ + 22838968, + 16360744 + ], + [ + 97545092, + 65174926 + ], + [ + 14994685, + 93525804 + ], + [ + 65785016, + 29572220 + ], + [ + 6026957, + 52806404 + ], + [ + 10075257, + 15836362 + ], + [ + 43140327, + 58586859 + ], + [ + 83110375, + 38308664 + ], + [ + 93097985, + 73154160 + ], + [ + 5128621, + 18985364 + ], + [ + 80534794, + 82832172 + ], + [ + 46536941, + 61386701 + ], + [ + 23865822, + 41310298 + ], + [ + 26602906, + 17666978 + ], + [ + 26661722, + 64358390 + ], + [ + 22523826, + 12216956 + ], + [ + 92726535, + 25682757 + ], + [ + 16720670, + 48046248 + ], + [ + 59419112, + 4852681 + ], + [ + 53932617, + 40722787 + ], + [ + 54071738, + 65705904 + ], + [ + 42325923, + 11356291 + ], + [ + 56041496, + 75040991 + ], + [ + 83245153, + 86803740 + ], + [ + 39872525, + 79330915 + ], + [ + 57961038, + 36334832 + ], + [ + 85340900, + 75142819 + ], + [ + 37518243, + 31270540 + ], + [ + 68057634, + 67698934 + ], + [ + 60496133, + 37464209 + ], + [ + 96171880, + 53282260 + ], + [ + 84280344, + 77253878 + ], + [ + 53793305, + 17394961 + ], + [ + 15355505, + 14363671 + ], + [ + 26200596, + 64294745 + ], + [ + 6727301, + 23784987 + ], + [ + 35180728, + 55829568 + ], + [ + 22746236, + 43435583 + ], + [ + 35469646, + 1371790 + ], + [ + 45388638, + 70490551 + ], + [ + 22776387, + 54380476 + ], + [ + 54495174, + 15181024 + ], + [ + 73762653, + 56226120 + ], + [ + 64872721, + 63801789 + ], + [ + 2061136, + 7710632 + ], + [ + 87187955, + 1482917 + ], + [ + 86102931, + 28938598 + ], + [ + 66898927, + 4126974 + ], + [ + 41124145, + 16718434 + ], + [ + 37014070, + 55029891 + ], + [ + 91589387, + 4263312 + ], + [ + 95931854, + 54041053 + ], + [ + 73978934, + 7741032 + ], + [ + 93491406, + 79057035 + ], + [ + 2479202, + 71448986 + ], + [ + 71326370, + 49971194 + ], + [ + 19861057, + 82056669 + ], + [ + 58585138, + 99674467 + ], + [ + 83485301, + 49923116 + ], + [ + 85780174, + 86331849 + ], + [ + 959675, + 29704113 + ], + [ + 35363610, + 7944735 + ], + [ + 87303754, + 81748391 + ], + [ + 7515242, + 87530627 + ], + [ + 23164384, + 30161517 + ], + [ + 74518061, + 27051762 + ], + [ + 23939869, + 72883141 + ], + [ + 49914013, + 18629757 + ], + [ + 68573433, + 95102391 + ], + [ + 91632967, + 98508129 + ], + [ + 1221569, + 12189648 + ], + [ + 7951287, + 68459866 + ], + [ + 30997711, + 33098675 + ], + [ + 53313079, + 86310945 + ], + [ + 16257009, + 12110125 + ], + [ + 25206671, + 41819742 + ], + [ + 65342714, + 75663536 + ], + [ + 14777724, + 63141834 + ], + [ + 21625980, + 72764182 + ], + [ + 65003228, + 88140721 + ], + [ + 80229023, + 18622728 + ], + [ + 66436804, + 34703708 + ], + [ + 17073317, + 40521809 + ], + [ + 37470377, + 32310177 + ], + [ + 64637649, + 7853826 + ], + [ + 95995343, + 62091249 + ], + [ + 44969445, + 96212276 + ], + [ + 69155954, + 57023495 + ], + [ + 39358882, + 50333657 + ], + [ + 98898998, + 47482721 + ], + [ + 319468, + 26654974 + ], + [ + 58956325, + 33987287 + ], + [ + 26926224, + 70960870 + ], + [ + 44680998, + 98333531 + ], + [ + 59455739, + 24632424 + ], + [ + 51582527, + 89464062 + ], + [ + 92048427, + 72090558 + ], + [ + 66299526, + 8488067 + ], + [ + 53368447, + 48965326 + ], + [ + 18472166, + 85535618 + ], + [ + 83677755, + 73519063 + ], + [ + 55646914, + 14339486 + ], + [ + 41660552, + 42857809 + ], + [ + 61729287, + 34776627 + ], + [ + 74045526, + 7904826 + ], + [ + 80289882, + 21987909 + ], + [ + 30192300, + 42904431 + ], + [ + 76098801, + 35769474 + ], + [ + 44760491, + 91872397 + ], + [ + 34935869, + 86078017 + ], + [ + 88933354, + 18343 + ], + [ + 1597126, + 84880605 + ], + [ + 95981972, + 48089644 + ], + [ + 69836991, + 74731979 + ], + [ + 51500160, + 78310507 + ], + [ + 5412014, + 25954210 + ], + [ + 39160382, + 23093223 + ], + [ + 67202592, + 45704560 + ], + [ + 10831921, + 6599051 + ], + [ + 15244878, + 50286186 + ], + [ + 73881933, + 29043585 + ], + [ + 60277753, + 59545456 + ], + [ + 89327899, + 1369643 + ], + [ + 28581763, + 38794816 + ], + [ + 90851143, + 88790512 + ], + [ + 86968816, + 9539278 + ], + [ + 27633829, + 98214651 + ], + [ + 3768307, + 91021433 + ], + [ + 52876324, + 83979783 + ], + [ + 52875978, + 46871042 + ], + [ + 46596693, + 84434935 + ], + [ + 18849129, + 10430104 + ], + [ + 5536217, + 73553549 + ], + [ + 62161144, + 60883106 + ], + [ + 23956186, + 68074527 + ], + [ + 98376265, + 79600123 + ], + [ + 87793368, + 93158127 + ], + [ + 13378060, + 148704 + ], + [ + 10409279, + 92889930 + ], + [ + 11817625, + 50848590 + ], + [ + 7582520, + 58924726 + ], + [ + 81673434, + 7747292 + ], + [ + 58740032, + 18160890 + ], + [ + 59913301, + 73817433 + ], + [ + 91336233, + 80281526 + ], + [ + 44477162, + 47382022 + ], + [ + 31454596, + 41554294 + ], + [ + 79619665, + 82563137 + ], + [ + 90129850, + 40806895 + ], + [ + 6591615, + 1389585 + ], + [ + 70186890, + 14460775 + ], + [ + 15660644, + 25301353 + ], + [ + 21780853, + 54186351 + ], + [ + 63535692, + 37402474 + ], + [ + 98501923, + 95498754 + ], + [ + 29107411, + 18261425 + ], + [ + 25689286, + 99429745 + ], + [ + 90601874, + 69575273 + ], + [ + 61708887, + 51377982 + ], + [ + 42687256, + 69183469 + ], + [ + 77423020, + 84571861 + ], + [ + 31271854, + 78061883 + ], + [ + 42933912, + 19652073 + ], + [ + 5299321, + 87679013 + ], + [ + 55772956, + 92613405 + ], + [ + 99159703, + 7328700 + ], + [ + 48296222, + 84088188 + ], + [ + 43074631, + 50712927 + ], + [ + 74755788, + 87201886 + ], + [ + 3500452, + 40168737 + ], + [ + 38312053, + 7941798 + ], + [ + 64662562, + 20419151 + ], + [ + 64769259, + 25826210 + ], + [ + 41556530, + 90911568 + ], + [ + 50228142, + 91670610 + ], + [ + 54353912, + 9937001 + ], + [ + 85486604, + 93698844 + ], + [ + 9572169, + 90591244 + ], + [ + 69763484, + 27441591 + ], + [ + 33592679, + 36829593 + ], + [ + 61252085, + 23198124 + ], + [ + 94397277, + 66919490 + ], + [ + 83277000, + 30569523 + ], + [ + 15268793, + 73771288 + ], + [ + 63545642, + 70175898 + ], + [ + 22431279, + 79865859 + ], + [ + 7731278, + 58645518 + ], + [ + 61393115, + 71309874 + ], + [ + 10452900, + 97258584 + ], + [ + 58426925, + 43952313 + ], + [ + 52860978, + 53657090 + ], + [ + 72716799, + 48292251 + ], + [ + 70738534, + 65881431 + ], + [ + 46139119, + 78282865 + ], + [ + 37940596, + 22608036 + ], + [ + 6694491, + 92876741 + ], + [ + 11435048, + 19269295 + ], + [ + 1876357, + 86065643 + ], + [ + 64335812, + 59976526 + ], + [ + 24377934, + 71494648 + ], + [ + 76735236, + 78585452 + ], + [ + 83703736, + 91170636 + ], + [ + 38997009, + 36968982 + ], + [ + 86875005, + 3123249 + ], + [ + 58924663, + 40551659 + ], + [ + 18846752, + 57723467 + ], + [ + 88772119, + 7097120 + ], + [ + 59157031, + 74814463 + ], + [ + 30509424, + 13977187 + ], + [ + 27339032, + 94517420 + ], + [ + 51565472, + 30687932 + ], + [ + 47156804, + 94581 + ], + [ + 38617767, + 69760954 + ], + [ + 40878131, + 26007421 + ], + [ + 48992543, + 81021951 + ], + [ + 6482077, + 83502154 + ], + [ + 52523105, + 91629932 + ], + [ + 64239734, + 83098615 + ], + [ + 50781343, + 22029192 + ], + [ + 52527280, + 8748340 + ], + [ + 13131563, + 24711230 + ], + [ + 48705846, + 24436357 + ], + [ + 95459446, + 61755570 + ], + [ + 10200270, + 73065199 + ], + [ + 17152955, + 18903274 + ], + [ + 44652017, + 98022432 + ], + [ + 57983390, + 58002532 + ], + [ + 45355, + 31501980 + ], + [ + 17832250, + 57709486 + ], + [ + 14881114, + 85849821 + ], + [ + 51326147, + 83382780 + ], + [ + 23930695, + 43757021 + ], + [ + 92683037, + 33815980 + ], + [ + 19791433, + 90940919 + ], + [ + 40856921, + 26989389 + ], + [ + 87153365, + 79362118 + ], + [ + 83143761, + 72487503 + ], + [ + 90944840, + 91769661 + ], + [ + 95138172, + 49095115 + ], + [ + 17113422, + 47108763 + ], + [ + 20732425, + 9552759 + ], + [ + 3400678, + 46241371 + ], + [ + 70503776, + 23713832 + ], + [ + 77093585, + 9376543 + ], + [ + 99672435, + 7993456 + ], + [ + 80811709, + 69685250 + ], + [ + 81917997, + 53543105 + ], + [ + 79774305, + 96448721 + ], + [ + 10598890, + 34821667 + ], + [ + 5289471, + 12873291 + ], + [ + 79230115, + 29082108 + ], + [ + 92360719, + 79467875 + ], + [ + 98027076, + 14566200 + ], + [ + 34117696, + 85454262 + ], + [ + 85042504, + 22152356 + ], + [ + 62660804, + 48258232 + ], + [ + 82056557, + 43908073 + ], + [ + 710201, + 50920581 + ], + [ + 8065391, + 483681 + ], + [ + 9103016, + 84109480 + ], + [ + 53623012, + 71509016 + ], + [ + 70053259, + 67128811 + ], + [ + 99107859, + 70072720 + ], + [ + 93378171, + 52220728 + ], + [ + 38949100, + 44345781 + ], + [ + 6064771, + 83196366 + ], + [ + 36874502, + 93828953 + ], + [ + 68121763, + 11792989 + ], + [ + 58040517, + 35620124 + ], + [ + 85486277, + 9521127 + ], + [ + 401415, + 13841469 + ], + [ + 6700352, + 24552706 + ], + [ + 11378380, + 53027525 + ], + [ + 72701785, + 30065941 + ], + [ + 17529389, + 15008465 + ], + [ + 35243370, + 6641311 + ], + [ + 53223103, + 24421454 + ], + [ + 40530558, + 85044227 + ], + [ + 50323651, + 69982048 + ], + [ + 8547433, + 19937435 + ], + [ + 3468789, + 19608263 + ], + [ + 2184985, + 82957637 + ], + [ + 40395816, + 17155984 + ], + [ + 62489169, + 18397670 + ], + [ + 14961308, + 64299348 + ], + [ + 41840423, + 72713292 + ], + [ + 81242507, + 31112680 + ], + [ + 73025674, + 57819139 + ], + [ + 28038782, + 81872801 + ], + [ + 5045103, + 28122240 + ], + [ + 36029257, + 45587029 + ], + [ + 70151851, + 15789001 + ], + [ + 44131735, + 65415865 + ], + [ + 59928580, + 69075974 + ], + [ + 78958244, + 32886170 + ], + [ + 40148557, + 3467690 + ], + [ + 78492518, + 13358497 + ], + [ + 93340063, + 18147123 + ], + [ + 11474712, + 6912663 + ], + [ + 74640961, + 777 + ], + [ + 7003013, + 88073507 + ], + [ + 57932589, + 98370511 + ], + [ + 31099710, + 69884873 + ], + [ + 43481369, + 19450974 + ], + [ + 58891607, + 67385817 + ], + [ + 54497973, + 45400431 + ], + [ + 40927833, + 37087417 + ], + [ + 44739085, + 61620918 + ], + [ + 52926148, + 75902806 + ], + [ + 24065899, + 34760713 + ], + [ + 95233949, + 83632268 + ], + [ + 80418514, + 80007112 + ], + [ + 38953563, + 40412543 + ], + [ + 7341513, + 86393848 + ], + [ + 78745347, + 5215751 + ], + [ + 71664026, + 23941019 + ], + [ + 81226323, + 15660166 + ], + [ + 69583545, + 75304939 + ], + [ + 10384956, + 49648663 + ], + [ + 1225705, + 15963504 + ], + [ + 64515779, + 7479455 + ], + [ + 97262766, + 48960722 + ], + [ + 90125168, + 35683542 + ], + [ + 54729758, + 76019528 + ], + [ + 61547251, + 85023199 + ], + [ + 39339183, + 20574223 + ], + [ + 99062230, + 34717115 + ], + [ + 21786110, + 32715990 + ], + [ + 77376126, + 51131909 + ], + [ + 49741653, + 93457799 + ], + [ + 91332400, + 83072422 + ], + [ + 809653, + 44131848 + ], + [ + 66349280, + 80657491 + ], + [ + 6505043, + 56796570 + ], + [ + 57790702, + 67622041 + ], + [ + 79884493, + 7347963 + ], + [ + 15028140, + 82117379 + ], + [ + 1015728, + 41905572 + ], + [ + 55736995, + 78995140 + ], + [ + 55202879, + 36851657 + ], + [ + 96790933, + 68741217 + ], + [ + 31479058, + 96634682 + ], + [ + 29504093, + 83233181 + ], + [ + 61658173, + 52132837 + ], + [ + 19887253, + 36125176 + ], + [ + 49786442, + 69961822 + ], + [ + 21393950, + 91262048 + ], + [ + 88547366, + 50630510 + ], + [ + 77740899, + 55854132 + ], + [ + 38962572, + 15896261 + ], + [ + 92708083, + 4628114 + ], + [ + 81684421, + 36439306 + ], + [ + 9773091, + 13276009 + ], + [ + 58382588, + 71267559 + ], + [ + 95933906, + 45831537 + ], + [ + 39130029, + 75739881 + ], + [ + 77057500, + 63284025 + ], + [ + 99880975, + 8823883 + ], + [ + 24248322, + 78537709 + ], + [ + 93688634, + 11489138 + ], + [ + 96488258, + 51201815 + ], + [ + 70947173, + 61008702 + ], + [ + 52913565, + 35034343 + ], + [ + 67173097, + 55845348 + ], + [ + 26942601, + 94665334 + ], + [ + 69169211, + 82411731 + ], + [ + 89023225, + 36203498 + ], + [ + 73649805, + 67190320 + ], + [ + 14693521, + 42175565 + ], + [ + 78332433, + 89391122 + ], + [ + 24304453, + 66552055 + ], + [ + 86639858, + 21986321 + ], + [ + 86195365, + 43246103 + ], + [ + 93143649, + 84765956 + ], + [ + 93773765, + 16039098 + ], + [ + 28441464, + 5392427 + ], + [ + 54871721, + 58506792 + ], + [ + 23824098, + 69818368 + ], + [ + 82549419, + 69866025 + ], + [ + 99542215, + 21209282 + ], + [ + 56104382, + 61704603 + ], + [ + 41053794, + 78555143 + ], + [ + 81132741, + 42687015 + ], + [ + 13941489, + 25536173 + ], + [ + 74965878, + 25035593 + ], + [ + 37373801, + 87002695 + ], + [ + 85365197, + 78932786 + ], + [ + 94646873, + 14197934 + ], + [ + 37741697, + 71435935 + ], + [ + 25111644, + 4789917 + ], + [ + 70978765, + 74820032 + ], + [ + 59990571, + 27730033 + ], + [ + 70807750, + 55683240 + ], + [ + 60961068, + 69323923 + ], + [ + 66687444, + 24920409 + ], + [ + 40047721, + 58333000 + ], + [ + 79458989, + 43715067 + ], + [ + 24863353, + 94670127 + ], + [ + 97695920, + 34066307 + ], + [ + 50289325, + 85417308 + ], + [ + 56035274, + 27363629 + ], + [ + 87618870, + 62594220 + ], + [ + 67659486, + 18356726 + ], + [ + 22641931, + 71580258 + ], + [ + 78904852, + 44536898 + ], + [ + 61091442, + 54588793 + ], + [ + 36582184, + 33270700 + ], + [ + 72523965, + 25354629 + ], + [ + 88822891, + 13092230 + ], + [ + 82547608, + 44535282 + ], + [ + 3685980, + 82616265 + ], + [ + 95794080, + 61766858 + ], + [ + 81239958, + 81791940 + ], + [ + 57146380, + 45345459 + ], + [ + 32623431, + 86727233 + ], + [ + 65777599, + 30356636 + ], + [ + 72921731, + 78559426 + ], + [ + 81905094, + 36161066 + ], + [ + 12146809, + 71390358 + ], + [ + 76843842, + 65540958 + ], + [ + 23490097, + 53119162 + ], + [ + 32484347, + 16933450 + ], + [ + 22465502, + 7454529 + ], + [ + 51504092, + 97056615 + ], + [ + 15226494, + 35599886 + ], + [ + 52399951, + 89148212 + ], + [ + 27485052, + 58946262 + ], + [ + 88978789, + 82561646 + ], + [ + 26866246, + 41542126 + ], + [ + 14564750, + 73899051 + ], + [ + 76889162, + 68169727 + ], + [ + 58143043, + 84385057 + ], + [ + 70731298, + 84653932 + ], + [ + 4083729, + 68447941 + ], + [ + 25043253, + 86881017 + ], + [ + 44298151, + 15428368 + ], + [ + 88998458, + 51599330 + ], + [ + 36704358, + 18751405 + ], + [ + 62209032, + 79620191 + ], + [ + 12043845, + 11553962 + ], + [ + 79328198, + 91982976 + ], + [ + 8718955, + 78503842 + ], + [ + 42604382, + 39740292 + ], + [ + 14563050, + 94180447 + ], + [ + 93142478, + 99737524 + ], + [ + 98072582, + 31432543 + ], + [ + 87738920, + 85591171 + ], + [ + 67342292, + 43619194 + ], + [ + 30266092, + 81697285 + ], + [ + 8460662, + 88454029 + ], + [ + 28775259, + 46218687 + ], + [ + 43701176, + 59081514 + ], + [ + 29395455, + 12222173 + ], + [ + 13645303, + 27239222 + ], + [ + 78016347, + 94565939 + ], + [ + 31635678, + 96973258 + ], + [ + 48700507, + 9269220 + ], + [ + 23452485, + 12019061 + ], + [ + 90640278, + 65315585 + ], + [ + 99889706, + 37379960 + ], + [ + 68360999, + 40536310 + ], + [ + 41357722, + 18082391 + ], + [ + 30363699, + 46851630 + ], + [ + 83716871, + 75498591 + ], + [ + 21236503, + 75365594 + ], + [ + 60500954, + 53307714 + ], + [ + 40894346, + 56502093 + ], + [ + 91130864, + 59856671 + ], + [ + 73807094, + 47967351 + ], + [ + 73884420, + 49332939 + ], + [ + 78672621, + 78301684 + ], + [ + 91311441, + 15712271 + ], + [ + 37564195, + 3320399 + ], + [ + 90464804, + 95872697 + ], + [ + 35846233, + 59982314 + ], + [ + 92366306, + 47622625 + ], + [ + 94815774, + 87464552 + ], + [ + 56367249, + 29171025 + ], + [ + 74006482, + 92003639 + ], + [ + 36720634, + 20901259 + ], + [ + 74233405, + 3596651 + ], + [ + 52103799, + 20928284 + ], + [ + 7650050, + 94770426 + ], + [ + 35950923, + 58005985 + ], + [ + 70616095, + 28318113 + ], + [ + 7879844, + 56752610 + ], + [ + 33299865, + 77767559 + ], + [ + 36292213, + 20291794 + ], + [ + 56610884, + 74231992 + ], + [ + 33582985, + 96750967 + ], + [ + 76299016, + 91525221 + ], + [ + 21212987, + 98910283 + ], + [ + 22559253, + 97794101 + ], + [ + 81577601, + 65120684 + ], + [ + 43514908, + 10510500 + ], + [ + 37402949, + 13061042 + ], + [ + 40193927, + 89847214 + ], + [ + 68562850, + 48291619 + ], + [ + 41945721, + 91744025 + ], + [ + 76622106, + 49267923 + ], + [ + 61484999, + 21766130 + ], + [ + 52402250, + 17228042 + ], + [ + 63653361, + 5192452 + ], + [ + 11838535, + 55999161 + ], + [ + 77427679, + 24212357 + ], + [ + 2642393, + 44595513 + ], + [ + 42768204, + 42998643 + ], + [ + 98541842, + 4516847 + ], + [ + 26847115, + 91439034 + ], + [ + 56984620, + 33470761 + ], + [ + 85379871, + 76058361 + ], + [ + 60573205, + 26292990 + ], + [ + 88538282, + 54923674 + ], + [ + 94707029, + 897147 + ], + [ + 89750867, + 41925057 + ], + [ + 11348274, + 12051694 + ], + [ + 59407779, + 56068359 + ], + [ + 16322472, + 4843616 + ], + [ + 15522386, + 9872518 + ], + [ + 7450893, + 39992 + ], + [ + 6955564, + 67796566 + ], + [ + 62012311, + 94519620 + ], + [ + 13249081, + 95337036 + ], + [ + 32400987, + 67058586 + ], + [ + 63021489, + 75263877 + ], + [ + 97660245, + 96144329 + ], + [ + 33381942, + 19475594 + ], + [ + 17290991, + 86620627 + ], + [ + 85408081, + 50038394 + ], + [ + 45593434, + 85507848 + ], + [ + 92928159, + 86869096 + ], + [ + 53847960, + 67227702 + ], + [ + 96875802, + 48505291 + ], + [ + 24740491, + 30931048 + ], + [ + 62978731, + 85333201 + ], + [ + 35097589, + 973691 + ], + [ + 37221768, + 51774670 + ], + [ + 32813708, + 80193142 + ], + [ + 39564852, + 82893582 + ], + [ + 61053618, + 13951558 + ], + [ + 61316084, + 58822634 + ], + [ + 80198592, + 37553854 + ], + [ + 71890378, + 29781233 + ], + [ + 38491918, + 44558976 + ], + [ + 99185766, + 7316302 + ], + [ + 76007921, + 46731304 + ], + [ + 98887242, + 23778053 + ], + [ + 96826865, + 40915890 + ], + [ + 93978102, + 8858847 + ], + [ + 32896987, + 50586235 + ], + [ + 60712755, + 4434830 + ], + [ + 5586500, + 38217188 + ], + [ + 63971593, + 22128091 + ], + [ + 12512580, + 83716867 + ], + [ + 41739595, + 83932707 + ], + [ + 13868029, + 18180442 + ], + [ + 39921333, + 49557458 + ], + [ + 54935240, + 17473475 + ], + [ + 11025886, + 99111741 + ], + [ + 49910802, + 33509896 + ], + [ + 53690294, + 41493482 + ], + [ + 22259111, + 72488485 + ], + [ + 72014612, + 29691180 + ], + [ + 79807979, + 35713473 + ], + [ + 11265883, + 40199147 + ], + [ + 44353662, + 18071682 + ], + [ + 4269210, + 9806478 + ], + [ + 81489400, + 93954110 + ], + [ + 53160011, + 8102776 + ], + [ + 79222304, + 29163978 + ], + [ + 71294295, + 52405715 + ], + [ + 60638859, + 5370416 + ], + [ + 6978923, + 15785411 + ], + [ + 28319103, + 15582734 + ], + [ + 58200660, + 54868314 + ], + [ + 67972311, + 93075546 + ], + [ + 74364056, + 96306053 + ], + [ + 54048018, + 82737498 + ], + [ + 52533903, + 84067315 + ], + [ + 50895237, + 79804541 + ], + [ + 56021043, + 67425656 + ], + [ + 91468043, + 89372138 + ], + [ + 67283709, + 60780848 + ], + [ + 39731496, + 10643424 + ], + [ + 11436887, + 670166 + ], + [ + 29856160, + 33387795 + ], + [ + 34053689, + 80110806 + ], + [ + 54473089, + 59973495 + ], + [ + 61604251, + 59266299 + ], + [ + 11564261, + 18637596 + ], + [ + 36843074, + 27632172 + ], + [ + 98403554, + 46981238 + ], + [ + 15985183, + 96342394 + ], + [ + 7048109, + 12262853 + ], + [ + 15686823, + 36861405 + ], + [ + 57549736, + 60891199 + ], + [ + 52148188, + 25877725 + ], + [ + 47022678, + 9873040 + ], + [ + 83562836, + 48714832 + ], + [ + 78495486, + 23860208 + ], + [ + 37098886, + 32313886 + ], + [ + 12587356, + 71061584 + ], + [ + 11981489, + 31577942 + ], + [ + 99516199, + 95120699 + ], + [ + 80456896, + 42911110 + ], + [ + 8089354, + 81974550 + ], + [ + 21065567, + 98011082 + ], + [ + 27706228, + 64782367 + ], + [ + 749078, + 3433501 + ], + [ + 53006621, + 53205695 + ], + [ + 90212128, + 89993194 + ], + [ + 7671154, + 94403759 + ], + [ + 97975619, + 4155878 + ], + [ + 71755382, + 15868032 + ], + [ + 7026388, + 28818937 + ], + [ + 36635391, + 92737837 + ], + [ + 24812321, + 7621983 + ], + [ + 51036232, + 5522937 + ], + [ + 82497809, + 24018472 + ], + [ + 220162, + 40239850 + ], + [ + 91210971, + 1062619 + ], + [ + 79354069, + 96547380 + ], + [ + 84596251, + 25827539 + ], + [ + 45892265, + 93149267 + ], + [ + 42272412, + 96173762 + ], + [ + 29193884, + 7408796 + ], + [ + 40452819, + 41526605 + ], + [ + 15411131, + 18725841 + ], + [ + 76231638, + 44384401 + ], + [ + 89518889, + 11013625 + ], + [ + 86805880, + 80262991 + ], + [ + 29003574, + 53810036 + ], + [ + 14344315, + 80919038 + ], + [ + 10968451, + 624659 + ], + [ + 87860694, + 96074746 + ], + [ + 47257394, + 19065134 + ], + [ + 25663381, + 89338922 + ], + [ + 62748456, + 75916527 + ], + [ + 48270550, + 37145690 + ], + [ + 90241435, + 24803658 + ], + [ + 26679311, + 63898163 + ], + [ + 41812090, + 78143625 + ], + [ + 81322518, + 98056871 + ], + [ + 98209785, + 23114948 + ], + [ + 75413806, + 36625725 + ], + [ + 77181848, + 77369582 + ], + [ + 32736197, + 48867770 + ], + [ + 60957314, + 17758476 + ], + [ + 21652112, + 87826107 + ], + [ + 90647291, + 96266685 + ], + [ + 30820395, + 62291781 + ], + [ + 5141895, + 28381719 + ], + [ + 46515885, + 13654699 + ], + [ + 37890490, + 96937084 + ], + [ + 11233717, + 81754683 + ], + [ + 88248551, + 62211259 + ], + [ + 49980814, + 92708371 + ], + [ + 87849873, + 51407764 + ], + [ + 3808747, + 41235107 + ], + [ + 85462076, + 83336837 + ], + [ + 48833981, + 22830367 + ], + [ + 91396321, + 45843948 + ], + [ + 71433257, + 70977069 + ], + [ + 20336798, + 73525766 + ], + [ + 40234001, + 28467925 + ], + [ + 53181483, + 6189489 + ], + [ + 38694943, + 81269395 + ], + [ + 92356666, + 84797779 + ], + [ + 78765808, + 88748303 + ], + [ + 90422210, + 84194246 + ], + [ + 82090385, + 47473473 + ], + [ + 48279216, + 80358178 + ], + [ + 98151426, + 97195027 + ], + [ + 229826, + 80474878 + ], + [ + 24727338, + 54899954 + ], + [ + 41125471, + 90327529 + ], + [ + 23564555, + 81666789 + ], + [ + 54751909, + 62577464 + ], + [ + 8023974, + 2523944 + ], + [ + 53170245, + 78579276 + ], + [ + 19730546, + 87351783 + ], + [ + 15479718, + 13345483 + ], + [ + 85888873, + 15305639 + ], + [ + 85301349, + 41474962 + ], + [ + 47443120, + 22334942 + ], + [ + 32348591, + 2058484 + ], + [ + 36966899, + 28286506 + ], + [ + 61552005, + 45799721 + ], + [ + 18582522, + 9775761 + ], + [ + 51256044, + 91897702 + ], + [ + 85685198, + 41579911 + ], + [ + 60944916, + 42190593 + ], + [ + 59674234, + 33924205 + ], + [ + 36989059, + 95206710 + ], + [ + 35239524, + 40180640 + ], + [ + 51348885, + 776307 + ], + [ + 99725384, + 3482959 + ], + [ + 32180107, + 17923199 + ], + [ + 6151937, + 98087128 + ], + [ + 42281028, + 58206312 + ], + [ + 84837461, + 29198833 + ], + [ + 49792647, + 84625532 + ], + [ + 35914412, + 96827587 + ], + [ + 40056916, + 87229162 + ], + [ + 53541242, + 30328581 + ], + [ + 41974092, + 51503008 + ], + [ + 47962459, + 46811089 + ], + [ + 53170402, + 36308568 + ], + [ + 53116638, + 28749967 + ], + [ + 34893515, + 56904751 + ], + [ + 97430758, + 92849073 + ], + [ + 43733607, + 61199531 + ], + [ + 2080596, + 2781200 + ], + [ + 75449309, + 22967359 + ], + [ + 81947919, + 33582149 + ], + [ + 60656957, + 28077403 + ], + [ + 99292954, + 19613232 + ], + [ + 9346882, + 26150982 + ], + [ + 4540062, + 28374978 + ], + [ + 99407306, + 12850186 + ], + [ + 98595133, + 52149791 + ], + [ + 72159452, + 80971304 + ], + [ + 91543060, + 47563031 + ], + [ + 99108005, + 94489595 + ], + [ + 65751606, + 85556411 + ], + [ + 70465905, + 22665048 + ], + [ + 25584937, + 22940863 + ], + [ + 95786375, + 89435666 + ], + [ + 86912423, + 83072665 + ], + [ + 76581425, + 7548663 + ], + [ + 79537881, + 85664775 + ], + [ + 53587184, + 55479742 + ], + [ + 92822053, + 69399663 + ], + [ + 80107676, + 81878756 + ], + [ + 28446586, + 87629981 + ], + [ + 20803947, + 44159009 + ], + [ + 38781927, + 27991678 + ], + [ + 50864784, + 33695089 + ], + [ + 16262575, + 96356129 + ], + [ + 4246235, + 87095050 + ], + [ + 20448019, + 98937031 + ], + [ + 22512793, + 28971925 + ], + [ + 35514525, + 36343355 + ], + [ + 35070979, + 78013712 + ], + [ + 56057446, + 55334699 + ], + [ + 94608927, + 5686546 + ], + [ + 85279609, + 63028170 + ], + [ + 39556131, + 56394633 + ], + [ + 15168207, + 1752067 + ], + [ + 46224741, + 35776522 + ], + [ + 72289418, + 33120441 + ], + [ + 22727716, + 80452457 + ], + [ + 16000353, + 32047236 + ], + [ + 78009013, + 28284825 + ], + [ + 29373027, + 14143467 + ], + [ + 7642074, + 82411398 + ], + [ + 36009980, + 4542534 + ], + [ + 40899771, + 20708612 + ], + [ + 89407235, + 5864651 + ], + [ + 11703018, + 58450972 + ], + [ + 1079762, + 57061289 + ], + [ + 64742467, + 7051942 + ], + [ + 48171754, + 64887399 + ], + [ + 57245509, + 39795591 + ], + [ + 62893361, + 94964778 + ], + [ + 86414957, + 29141179 + ], + [ + 30251401, + 51679480 + ], + [ + 99333549, + 93189972 + ], + [ + 24577589, + 41219804 + ], + [ + 88345176, + 92750751 + ], + [ + 39205741, + 55579746 + ], + [ + 97305624, + 3076303 + ], + [ + 76964096, + 32290236 + ], + [ + 16009402, + 75270008 + ], + [ + 28508149, + 61072219 + ], + [ + 538801, + 49641218 + ], + [ + 95462924, + 24221404 + ], + [ + 73406815, + 64587969 + ], + [ + 99097817, + 85901759 + ], + [ + 19579025, + 88813160 + ], + [ + 57924288, + 55623508 + ], + [ + 2282277, + 27914366 + ], + [ + 73874149, + 23279448 + ], + [ + 16947433, + 10664824 + ], + [ + 44395260, + 37590918 + ], + [ + 78441893, + 23909229 + ], + [ + 82018671, + 13860002 + ], + [ + 15694394, + 47608524 + ], + [ + 57017561, + 96353789 + ], + [ + 71946072, + 31705201 + ], + [ + 86432120, + 55138526 + ], + [ + 18935388, + 82214287 + ], + [ + 88144240, + 71973369 + ], + [ + 97817623, + 72831976 + ], + [ + 79354150, + 24396940 + ], + [ + 3680614, + 5479232 + ], + [ + 68149995, + 14329255 + ], + [ + 98222475, + 13488514 + ], + [ + 46416076, + 91802955 + ], + [ + 58858544, + 91694856 + ], + [ + 78031986, + 87882357 + ], + [ + 42237325, + 45428435 + ], + [ + 34970062, + 67268505 + ], + [ + 33446624, + 53353172 + ], + [ + 1727184, + 10055368 + ], + [ + 1914385, + 95493620 + ], + [ + 99805177, + 6083095 + ], + [ + 49690706, + 68059246 + ], + [ + 33389907, + 67404541 + ], + [ + 25636078, + 40268079 + ], + [ + 36409602, + 90567861 + ], + [ + 88763728, + 41669367 + ], + [ + 11135964, + 20050459 + ], + [ + 21082731, + 4511923 + ], + [ + 83162705, + 70720970 + ], + [ + 50988422, + 86026380 + ], + [ + 90543142, + 15220115 + ], + [ + 35652720, + 67678398 + ], + [ + 79351150, + 62035468 + ], + [ + 71692257, + 10969864 + ], + [ + 24991592, + 1834431 + ], + [ + 57839797, + 89624596 + ], + [ + 18896128, + 80161029 + ], + [ + 1317199, + 61062502 + ], + [ + 17489837, + 71413372 + ], + [ + 74018704, + 63139638 + ], + [ + 45021596, + 92490438 + ], + [ + 81148951, + 65194748 + ], + [ + 41163026, + 50656673 + ], + [ + 83367952, + 36499426 + ], + [ + 81631113, + 56174812 + ], + [ + 20542225, + 73683848 + ], + [ + 77022894, + 45206223 + ], + [ + 33705926, + 94139681 + ], + [ + 49676897, + 10624165 + ], + [ + 45338105, + 15209520 + ], + [ + 74794732, + 83969714 + ], + [ + 73012985, + 94612717 + ], + [ + 70311192, + 95917029 + ], + [ + 6413686, + 24221279 + ], + [ + 82480980, + 10848502 + ], + [ + 82652897, + 63988275 + ], + [ + 99651827, + 14455323 + ], + [ + 36122159, + 67846626 + ], + [ + 29937111, + 46225907 + ], + [ + 6984042, + 84070730 + ], + [ + 63800399, + 80266009 + ], + [ + 30839283, + 35405531 + ], + [ + 70580283, + 33187486 + ], + [ + 15120196, + 9534985 + ], + [ + 52034533, + 68663181 + ], + [ + 80711359, + 47758479 + ], + [ + 71415732, + 38874278 + ], + [ + 18264482, + 53840628 + ], + [ + 35669950, + 99904446 + ], + [ + 38882408, + 58174677 + ], + [ + 39553677, + 51110742 + ], + [ + 62062466, + 56229791 + ], + [ + 72088759, + 96446958 + ], + [ + 74807513, + 62311292 + ], + [ + 59589706, + 34541930 + ], + [ + 12163652, + 56739058 + ], + [ + 1520305, + 59578499 + ], + [ + 43183495, + 61377403 + ], + [ + 66162637, + 73271359 + ], + [ + 97914223, + 84766978 + ], + [ + 72784909, + 39916581 + ], + [ + 67072696, + 98857989 + ], + [ + 19033906, + 47658493 + ], + [ + 44876507, + 55588471 + ], + [ + 60268013, + 65633622 + ], + [ + 62406915, + 74503314 + ], + [ + 82008684, + 34484758 + ], + [ + 92483853, + 17394228 + ], + [ + 22555641, + 20988495 + ], + [ + 53361541, + 78202113 + ], + [ + 24166963, + 11451781 + ], + [ + 88994873, + 18639042 + ], + [ + 91125668, + 150587 + ], + [ + 89112943, + 23166063 + ], + [ + 57967605, + 49413842 + ], + [ + 98983785, + 25387612 + ], + [ + 3199257, + 4010233 + ], + [ + 92855830, + 10450800 + ], + [ + 37660142, + 83573019 + ], + [ + 74032906, + 27250197 + ], + [ + 49374171, + 2532518 + ], + [ + 98237002, + 53104044 + ], + [ + 86149369, + 92787530 + ], + [ + 58671319, + 85350930 + ], + [ + 55950817, + 80692684 + ], + [ + 78778249, + 53518324 + ], + [ + 717822, + 65706416 + ], + [ + 9163006, + 96241395 + ], + [ + 17109572, + 85321899 + ], + [ + 71073682, + 88587217 + ], + [ + 97500047, + 32365305 + ], + [ + 98495375, + 40487381 + ], + [ + 91192661, + 3192277 + ], + [ + 78049576, + 62715326 + ], + [ + 1700880, + 6868811 + ], + [ + 21518850, + 65703987 + ], + [ + 48549207, + 49183941 + ], + [ + 23508450, + 88774222 + ], + [ + 46417251, + 41174197 + ], + [ + 60186175, + 86913803 + ], + [ + 44412119, + 55440357 + ], + [ + 23256676, + 11726789 + ], + [ + 26061586, + 88837682 + ], + [ + 35725124, + 92341709 + ], + [ + 39465060, + 22584991 + ], + [ + 52006304, + 23142247 + ], + [ + 45589420, + 33243036 + ], + [ + 58785776, + 33066222 + ], + [ + 20070618, + 44642266 + ], + [ + 20301043, + 5905737 + ], + [ + 33944142, + 57264026 + ], + [ + 67840572, + 16535669 + ], + [ + 28625454, + 71259599 + ], + [ + 76879648, + 37789899 + ], + [ + 10621526, + 76067488 + ], + [ + 25497824, + 54364213 + ], + [ + 9506892, + 49934761 + ], + [ + 94223920, + 92902608 + ], + [ + 63811145, + 90008208 + ], + [ + 62980899, + 34064403 + ], + [ + 50341233, + 15816602 + ], + [ + 31812363, + 49304810 + ], + [ + 7676308, + 74277694 + ], + [ + 82252851, + 14487672 + ], + [ + 530179, + 90120097 + ], + [ + 38671712, + 99183957 + ], + [ + 66025959, + 5728558 + ], + [ + 56800915, + 76135646 + ], + [ + 35380704, + 60943472 + ], + [ + 16696750, + 69674947 + ], + [ + 64282254, + 15460971 + ], + [ + 31289907, + 99594957 + ], + [ + 15142473, + 81356003 + ], + [ + 34183300, + 5088594 + ], + [ + 22139481, + 32275085 + ], + [ + 47612357, + 81863314 + ], + [ + 30797972, + 60260476 + ], + [ + 38180999, + 33564478 + ], + [ + 72350245, + 75588199 + ], + [ + 34620427, + 24706579 + ], + [ + 63996626, + 36266100 + ], + [ + 36313051, + 93606613 + ], + [ + 33217989, + 93111537 + ], + [ + 52704611, + 55681098 + ], + [ + 57224189, + 74953282 + ], + [ + 22330952, + 96787029 + ], + [ + 53260666, + 81465146 + ], + [ + 64249893, + 29582616 + ], + [ + 72134000, + 48999898 + ], + [ + 97876370, + 59777683 + ], + [ + 85949017, + 70696335 + ], + [ + 30793386, + 96521380 + ], + [ + 94270846, + 70496404 + ], + [ + 92181851, + 21949196 + ], + [ + 10454709, + 12825878 + ], + [ + 93672395, + 31014905 + ], + [ + 12029100, + 17495315 + ], + [ + 18227766, + 41629298 + ], + [ + 98706972, + 49257975 + ], + [ + 78730940, + 72115549 + ], + [ + 74187429, + 84054151 + ], + [ + 91024049, + 18100989 + ], + [ + 70396216, + 18852610 + ], + [ + 63597312, + 84488604 + ], + [ + 74120703, + 79667153 + ], + [ + 43543660, + 41148291 + ], + [ + 75766528, + 47266437 + ], + [ + 90884551, + 73685267 + ], + [ + 88779007, + 85055566 + ], + [ + 18641552, + 27637628 + ], + [ + 77628684, + 41087841 + ], + [ + 10430036, + 54257407 + ], + [ + 99186909, + 20246812 + ], + [ + 75711488, + 62979466 + ], + [ + 95347989, + 60605403 + ], + [ + 88548165, + 44600495 + ], + [ + 1996092, + 9673550 + ], + [ + 20046439, + 72664050 + ], + [ + 84678104, + 40780356 + ], + [ + 12638873, + 34139255 + ], + [ + 49692680, + 41476847 + ], + [ + 98391831, + 82911718 + ], + [ + 76396060, + 68938473 + ], + [ + 61843697, + 73233262 + ], + [ + 14037747, + 26326592 + ], + [ + 16805566, + 10654937 + ], + [ + 9862969, + 8792429 + ], + [ + 62578955, + 32497771 + ], + [ + 28768760, + 13850023 + ], + [ + 58673512, + 38206091 + ], + [ + 62665789, + 29538266 + ], + [ + 13494372, + 97151975 + ], + [ + 73809329, + 2904551 + ], + [ + 34054373, + 85445961 + ], + [ + 59908961, + 74594876 + ], + [ + 86834279, + 68334315 + ], + [ + 84579815, + 70804669 + ], + [ + 46241309, + 51508821 + ], + [ + 76612936, + 62492009 + ], + [ + 53344492, + 3504102 + ], + [ + 89241333, + 74428891 + ], + [ + 38983989, + 91886421 + ], + [ + 11977618, + 72811543 + ], + [ + 38653055, + 98007575 + ], + [ + 36048965, + 36000097 + ], + [ + 5152844, + 58190548 + ], + [ + 11542875, + 74813275 + ], + [ + 68880956, + 37253449 + ], + [ + 33860777, + 19531164 + ], + [ + 58954271, + 5673390 + ], + [ + 85528066, + 17671459 + ], + [ + 23694925, + 74657844 + ], + [ + 67539369, + 62669909 + ], + [ + 46879150, + 27894763 + ], + [ + 41519657, + 25810257 + ], + [ + 30354105, + 41760183 + ], + [ + 65703334, + 94926646 + ], + [ + 92985510, + 5251399 + ], + [ + 2278306, + 85484737 + ], + [ + 77936611, + 1701241 + ], + [ + 76143969, + 71463275 + ], + [ + 43937875, + 2912175 + ], + [ + 71006483, + 51187599 + ], + [ + 20482739, + 72770230 + ], + [ + 95048775, + 16471842 + ], + [ + 53404067, + 86150573 + ], + [ + 37239819, + 12410069 + ], + [ + 80026772, + 87612048 + ], + [ + 56638777, + 72827206 + ], + [ + 16438642, + 40062751 + ], + [ + 48011256, + 68603820 + ], + [ + 18309122, + 4364674 + ], + [ + 55177114, + 94890301 + ], + [ + 10411075, + 57993738 + ], + [ + 46002412, + 12751190 + ], + [ + 24861908, + 37559736 + ], + [ + 79578978, + 29648553 + ], + [ + 87651510, + 94437231 + ], + [ + 56501173, + 28694067 + ], + [ + 14216344, + 31925598 + ], + [ + 73878272, + 35239746 + ], + [ + 18696594, + 62431728 + ], + [ + 42891324, + 43233806 + ], + [ + 8027687, + 58606813 + ], + [ + 89902615, + 48194351 + ], + [ + 47156912, + 65981530 + ], + [ + 6625707, + 60727578 + ], + [ + 99642869, + 73850111 + ], + [ + 58480340, + 20343988 + ], + [ + 68081648, + 57974572 + ], + [ + 73574282, + 58890982 + ], + [ + 15495587, + 50268772 + ], + [ + 95303485, + 1427772 + ], + [ + 17058741, + 86218804 + ], + [ + 48007408, + 84597837 + ], + [ + 3824360, + 68018308 + ], + [ + 27895135, + 85568555 + ], + [ + 91010050, + 60233061 + ], + [ + 54796580, + 14187527 + ], + [ + 24741221, + 31729448 + ], + [ + 73056374, + 9052558 + ], + [ + 74885035, + 97818617 + ], + [ + 1413580, + 72679688 + ], + [ + 85906910, + 86019740 + ], + [ + 36608795, + 36065289 + ], + [ + 13054970, + 99491242 + ], + [ + 58915987, + 87829221 + ], + [ + 39514687, + 94308865 + ], + [ + 28555640, + 49531722 + ], + [ + 65584938, + 33935559 + ], + [ + 94103504, + 54001980 + ], + [ + 93150459, + 46045549 + ], + [ + 31775546, + 81113356 + ], + [ + 17980133, + 22792479 + ], + [ + 48857354, + 69974147 + ], + [ + 71514325, + 71276033 + ], + [ + 99260113, + 81055756 + ], + [ + 15534737, + 1258487 + ], + [ + 88863608, + 85396541 + ], + [ + 66575175, + 74356879 + ], + [ + 49927838, + 83529492 + ], + [ + 48605584, + 61592160 + ], + [ + 35683017, + 87968893 + ], + [ + 17212940, + 21181524 + ], + [ + 39538350, + 41518284 + ], + [ + 2501230, + 55299378 + ], + [ + 40586167, + 32581402 + ], + [ + 26460627, + 98474672 + ], + [ + 46659463, + 12852703 + ], + [ + 15612613, + 94935439 + ], + [ + 63929667, + 20742587 + ], + [ + 14141238, + 48584619 + ], + [ + 62753225, + 410674 + ], + [ + 38566116, + 55802749 + ], + [ + 74510206, + 90413909 + ], + [ + 92185817, + 42040540 + ], + [ + 97451229, + 83965328 + ], + [ + 41654383, + 76482808 + ], + [ + 39766243, + 59307818 + ], + [ + 14877089, + 33144414 + ], + [ + 47721638, + 66325259 + ], + [ + 19091202, + 1249550 + ], + [ + 12716885, + 20436846 + ], + [ + 69921326, + 63072042 + ], + [ + 87752411, + 2918943 + ], + [ + 7233384, + 13327874 + ], + [ + 49611329, + 44623337 + ], + [ + 71996442, + 51975041 + ], + [ + 31890439, + 44182100 + ], + [ + 2648427, + 41472124 + ], + [ + 58228727, + 27831065 + ], + [ + 18143170, + 87096777 + ], + [ + 71115942, + 91089666 + ], + [ + 32773063, + 25702134 + ], + [ + 56578018, + 76026657 + ], + [ + 6919289, + 96000205 + ], + [ + 50968381, + 12045623 + ], + [ + 71241817, + 23731747 + ], + [ + 40927629, + 21663900 + ], + [ + 60216800, + 23308413 + ], + [ + 28101319, + 37514028 + ], + [ + 45076739, + 77588068 + ], + [ + 34522429, + 15936127 + ], + [ + 52582734, + 49104661 + ], + [ + 78738750, + 19995811 + ], + [ + 11972817, + 71646124 + ], + [ + 4515141, + 51072197 + ], + [ + 10532341, + 87431934 + ], + [ + 18945668, + 25193240 + ], + [ + 65066127, + 73058558 + ], + [ + 9450465, + 14933634 + ], + [ + 54323441, + 23326678 + ], + [ + 88733174, + 59691181 + ], + [ + 34186525, + 73210343 + ], + [ + 10032940, + 28535411 + ], + [ + 56186943, + 32927285 + ], + [ + 62960933, + 18602692 + ], + [ + 35319472, + 84409082 + ], + [ + 86749194, + 58035084 + ], + [ + 7571753, + 3200855 + ], + [ + 60633679, + 68789381 + ], + [ + 71813488, + 28064934 + ], + [ + 13752585, + 57887071 + ], + [ + 51910351, + 40780681 + ], + [ + 97297826, + 72370991 + ], + [ + 42849450, + 37416130 + ], + [ + 18842418, + 69950411 + ], + [ + 66011233, + 78584819 + ], + [ + 585445, + 30832782 + ], + [ + 13430670, + 62538049 + ], + [ + 84760358, + 5567234 + ], + [ + 38662126, + 39890379 + ], + [ + 22138999, + 7904140 + ], + [ + 30806160, + 26724763 + ], + [ + 42337247, + 95904413 + ], + [ + 20483642, + 32808595 + ], + [ + 86672950, + 63852456 + ], + [ + 48243759, + 43762329 + ], + [ + 48236571, + 6187305 + ], + [ + 340769, + 43154073 + ], + [ + 52577379, + 13616640 + ], + [ + 77895921, + 28515848 + ], + [ + 97765927, + 56383261 + ], + [ + 44258350, + 8324780 + ], + [ + 3503080, + 71996463 + ], + [ + 31488296, + 70324456 + ], + [ + 11894118, + 4473294 + ], + [ + 72934439, + 58844666 + ], + [ + 29146327, + 74618600 + ], + [ + 13330693, + 56738286 + ], + [ + 96572279, + 80860774 + ], + [ + 87439389, + 68855256 + ], + [ + 38758535, + 71688126 + ], + [ + 18736671, + 69246033 + ], + [ + 78580651, + 62670920 + ], + [ + 85287527, + 86282734 + ], + [ + 81652458, + 48623391 + ], + [ + 93329961, + 80136968 + ], + [ + 60756864, + 73553646 + ], + [ + 74357852, + 2062395 + ], + [ + 80029695, + 88910484 + ], + [ + 99313244, + 78515575 + ], + [ + 47549777, + 41611658 + ], + [ + 64928996, + 80122895 + ], + [ + 64356774, + 98101212 + ], + [ + 76674903, + 3501762 + ], + [ + 29358930, + 36126797 + ], + [ + 78740477, + 81403905 + ], + [ + 2041190, + 58287927 + ], + [ + 53081556, + 30966447 + ], + [ + 14339738, + 79642162 + ], + [ + 92239760, + 81098695 + ], + [ + 95971081, + 92704254 + ], + [ + 98005562, + 88399196 + ], + [ + 7476830, + 29259856 + ], + [ + 46337982, + 58093221 + ], + [ + 7743961, + 54366523 + ], + [ + 90945394, + 9900754 + ], + [ + 44910352, + 50859324 + ], + [ + 40679417, + 38214223 + ], + [ + 58528680, + 68372016 + ], + [ + 39638929, + 17087122 + ], + [ + 13293584, + 45334136 + ], + [ + 63821390, + 85534566 + ], + [ + 46020715, + 40968235 + ], + [ + 73371366, + 1404737 + ], + [ + 1508578, + 93166108 + ], + [ + 38963397, + 86976068 + ], + [ + 82444262, + 4655875 + ], + [ + 16925893, + 37344809 + ], + [ + 85479759, + 39609867 + ], + [ + 1778510, + 20566884 + ], + [ + 13362192, + 70403349 + ], + [ + 20025884, + 34397523 + ], + [ + 28378394, + 1926854 + ], + [ + 27957888, + 87126130 + ], + [ + 61387418, + 18698029 + ], + [ + 29649066, + 92419386 + ], + [ + 82394648, + 95498135 + ], + [ + 80902268, + 65869357 + ], + [ + 42487297, + 71670844 + ], + [ + 60786746, + 42824727 + ], + [ + 61810837, + 35723318 + ], + [ + 68146864, + 55198929 + ], + [ + 5724820, + 41440406 + ], + [ + 23307117, + 74606280 + ], + [ + 25665909, + 30380639 + ], + [ + 24194906, + 99051047 + ], + [ + 21032313, + 44625105 + ], + [ + 81492011, + 24570526 + ], + [ + 36385236, + 39154381 + ], + [ + 78107119, + 944147 + ], + [ + 21530949, + 34673823 + ], + [ + 23174284, + 20026774 + ], + [ + 15561115, + 70363149 + ], + [ + 18305879, + 36189814 + ], + [ + 23449167, + 97096945 + ], + [ + 78849731, + 38211350 + ], + [ + 95946653, + 70768782 + ], + [ + 61730534, + 67468759 + ], + [ + 59227500, + 74842079 + ], + [ + 90329505, + 71753784 + ], + [ + 70663986, + 67703523 + ], + [ + 77023973, + 34159262 + ], + [ + 42919145, + 23322677 + ], + [ + 57817485, + 75533428 + ], + [ + 34833538, + 88279823 + ], + [ + 52059088, + 28690614 + ], + [ + 85509625, + 59390212 + ], + [ + 29039801, + 22084453 + ], + [ + 71659529, + 36473005 + ], + [ + 1847353, + 87004190 + ], + [ + 95228533, + 13723313 + ], + [ + 62063585, + 14908365 + ], + [ + 38249216, + 68707622 + ], + [ + 62100950, + 46203635 + ], + [ + 84954756, + 43350259 + ], + [ + 90028014, + 52996934 + ], + [ + 27511265, + 20001266 + ], + [ + 38870805, + 18900640 + ], + [ + 65210108, + 50571303 + ], + [ + 68030001, + 72535763 + ], + [ + 74042142, + 89288 + ], + [ + 79193604, + 55757702 + ], + [ + 76097021, + 93306838 + ], + [ + 31405470, + 30909081 + ], + [ + 52951438, + 21443120 + ], + [ + 16122143, + 23710501 + ], + [ + 54305180, + 17698530 + ], + [ + 19767437, + 46271618 + ], + [ + 92408829, + 55457624 + ], + [ + 85885435, + 68108897 + ], + [ + 11383923, + 92832009 + ], + [ + 84433553, + 10711930 + ], + [ + 95293378, + 2840712 + ], + [ + 7629508, + 63879697 + ], + [ + 78372072, + 17435258 + ], + [ + 10482740, + 16377 + ], + [ + 32138749, + 28083344 + ], + [ + 24871947, + 65192823 + ], + [ + 60139279, + 95294305 + ], + [ + 3368487, + 41237954 + ], + [ + 66658431, + 93993062 + ], + [ + 36829415, + 38062542 + ], + [ + 38912444, + 46856037 + ], + [ + 86181983, + 34928698 + ], + [ + 13417078, + 75016314 + ], + [ + 19355654, + 443976 + ], + [ + 10885442, + 95996062 + ], + [ + 72169919, + 32053336 + ], + [ + 89382742, + 45961903 + ], + [ + 91902239, + 40398535 + ], + [ + 95450333, + 60177895 + ], + [ + 93791190, + 39489067 + ], + [ + 26587349, + 62409972 + ], + [ + 88774015, + 92445073 + ], + [ + 57913765, + 74148920 + ], + [ + 22923199, + 18497332 + ], + [ + 90808951, + 91318446 + ], + [ + 94876149, + 83898308 + ], + [ + 65736069, + 11683786 + ], + [ + 20919827, + 49163390 + ], + [ + 82533669, + 32167209 + ], + [ + 7088631, + 74059646 + ], + [ + 15524887, + 27738146 + ], + [ + 56296075, + 8944754 + ], + [ + 40282417, + 1468865 + ], + [ + 68596320, + 12466612 + ], + [ + 13627712, + 643502 + ], + [ + 72624321, + 46565796 + ], + [ + 80018518, + 63536595 + ], + [ + 86631932, + 67847150 + ], + [ + 46292923, + 16921866 + ], + [ + 23419906, + 46085375 + ], + [ + 89703217, + 28207411 + ], + [ + 5460158, + 47094824 + ], + [ + 84867802, + 70067804 + ], + [ + 87223338, + 2592669 + ], + [ + 47400439, + 4231975 + ], + [ + 80575295, + 60691554 + ], + [ + 77014043, + 96742553 + ], + [ + 47297994, + 92229325 + ], + [ + 5126947, + 19156102 + ], + [ + 94642152, + 1700523 + ], + [ + 56294215, + 46667185 + ], + [ + 58619190, + 23729008 + ], + [ + 65911422, + 87468027 + ], + [ + 94905491, + 96608214 + ], + [ + 32958138, + 86258451 + ], + [ + 56932563, + 84054192 + ], + [ + 34142712, + 95201241 + ], + [ + 78380695, + 53850576 + ], + [ + 12502818, + 77331261 + ], + [ + 1831394, + 20402174 + ], + [ + 93819950, + 33942460 + ], + [ + 47095917, + 2671230 + ], + [ + 18481746, + 92971506 + ], + [ + 61404889, + 97196167 + ], + [ + 97801402, + 30431139 + ], + [ + 97437927, + 87526883 + ], + [ + 13734962, + 87149369 + ], + [ + 45560697, + 15398022 + ], + [ + 1021965, + 48167605 + ], + [ + 97529889, + 84046610 + ], + [ + 56123406, + 86796140 + ], + [ + 3184960, + 51180398 + ], + [ + 24835031, + 76478265 + ], + [ + 63062579, + 72126866 + ], + [ + 28720267, + 53665854 + ], + [ + 79677372, + 60631381 + ], + [ + 41634124, + 22626080 + ], + [ + 637680, + 88837464 + ], + [ + 69141984, + 99151509 + ], + [ + 85777472, + 22616737 + ], + [ + 71057471, + 99022941 + ], + [ + 29442757, + 59588288 + ], + [ + 77090251, + 8169250 + ], + [ + 34051184, + 31608251 + ], + [ + 6237578, + 78879876 + ], + [ + 95952452, + 66482334 + ], + [ + 4973496, + 67858933 + ], + [ + 93140097, + 15341317 + ], + [ + 79266992, + 48370688 + ], + [ + 27569954, + 12674008 + ], + [ + 83557122, + 72936767 + ], + [ + 66710124, + 32280718 + ], + [ + 49268832, + 28390021 + ], + [ + 51485003, + 7423832 + ], + [ + 62569638, + 59807883 + ], + [ + 23621976, + 16619057 + ], + [ + 12080385, + 11881012 + ], + [ + 5606709, + 28954329 + ], + [ + 72170815, + 23436764 + ], + [ + 36086596, + 94437497 + ], + [ + 77413457, + 75583524 + ], + [ + 34283112, + 46783723 + ], + [ + 96399004, + 7082328 + ], + [ + 99102769, + 28741855 + ], + [ + 70871052, + 68478022 + ], + [ + 33689818, + 41738748 + ], + [ + 38014052, + 61287553 + ], + [ + 80114774, + 4591340 + ], + [ + 13174867, + 82115757 + ], + [ + 74831646, + 66064010 + ], + [ + 28946551, + 91681260 + ], + [ + 69495852, + 86765213 + ], + [ + 40618098, + 56496766 + ], + [ + 27538896, + 89349369 + ], + [ + 26856953, + 57462954 + ], + [ + 23602227, + 84139798 + ], + [ + 91550808, + 5157515 + ], + [ + 85666654, + 61410817 + ], + [ + 65260348, + 35502157 + ], + [ + 26962235, + 23031387 + ], + [ + 63775419, + 15691635 + ], + [ + 61747074, + 3698446 + ], + [ + 50677303, + 27750335 + ], + [ + 54726545, + 84547855 + ], + [ + 32234392, + 85402206 + ], + [ + 2575680, + 21371098 + ], + [ + 51008765, + 36191706 + ], + [ + 32278663, + 72616019 + ], + [ + 69008390, + 63151725 + ], + [ + 69550573, + 72882440 + ], + [ + 562374, + 66628350 + ], + [ + 98375068, + 4672311 + ], + [ + 50797938, + 92935103 + ], + [ + 33043025, + 54091170 + ], + [ + 24791639, + 32715530 + ], + [ + 29614859, + 85737189 + ], + [ + 27139079, + 45655601 + ], + [ + 18965219, + 66224052 + ], + [ + 77889454, + 17271926 + ], + [ + 7969999, + 40507170 + ], + [ + 53985628, + 65527859 + ], + [ + 79191394, + 27824329 + ], + [ + 11245620, + 75012820 + ], + [ + 99871491, + 96669756 + ], + [ + 51134824, + 14674038 + ], + [ + 84294510, + 61601950 + ], + [ + 61257480, + 15543417 + ], + [ + 35628004, + 87296433 + ], + [ + 85584140, + 94163339 + ], + [ + 37662878, + 37145254 + ], + [ + 52944838, + 51220699 + ], + [ + 56281617, + 63783577 + ], + [ + 15896883, + 30141477 + ], + [ + 74245563, + 92633634 + ], + [ + 66859301, + 59378349 + ], + [ + 77580214, + 97876685 + ], + [ + 51465699, + 50689656 + ], + [ + 85614361, + 11565403 + ], + [ + 88784080, + 65152722 + ], + [ + 10208129, + 28555751 + ], + [ + 16374748, + 44657540 + ], + [ + 47693163, + 80426142 + ], + [ + 27365816, + 38840573 + ], + [ + 94811393, + 18224728 + ], + [ + 8539412, + 58863053 + ], + [ + 62715369, + 4085041 + ], + [ + 29872789, + 83328586 + ], + [ + 36663471, + 40582374 + ], + [ + 37614204, + 20812642 + ], + [ + 50054057, + 40666024 + ], + [ + 93173569, + 32846906 + ], + [ + 34972431, + 39762993 + ], + [ + 14730926, + 87008225 + ], + [ + 8896044, + 66011542 + ], + [ + 77347304, + 86574884 + ], + [ + 38660399, + 49471432 + ], + [ + 56514750, + 49807954 + ], + [ + 26641905, + 43736819 + ], + [ + 76966652, + 78085635 + ], + [ + 65238788, + 27841220 + ], + [ + 36595033, + 2095485 + ], + [ + 50995446, + 49647330 + ], + [ + 44724157, + 87674385 + ], + [ + 71282915, + 65744015 + ], + [ + 5226291, + 39574302 + ], + [ + 55362188, + 20938996 + ], + [ + 73414952, + 27828036 + ], + [ + 87223621, + 84369754 + ], + [ + 19555872, + 52586508 + ], + [ + 30667028, + 65694109 + ], + [ + 97409846, + 10912463 + ], + [ + 22941043, + 45710529 + ], + [ + 95362098, + 68753087 + ], + [ + 92014409, + 1327098 + ], + [ + 36949808, + 90342087 + ], + [ + 2480068, + 64657556 + ], + [ + 59572499, + 17394118 + ], + [ + 44178217, + 57112566 + ], + [ + 36100085, + 21397352 + ], + [ + 39948276, + 89316926 + ], + [ + 17224337, + 39087027 + ], + [ + 84199401, + 13564601 + ], + [ + 47276319, + 74737380 + ], + [ + 49328059, + 95650334 + ], + [ + 33962727, + 49075212 + ], + [ + 60918845, + 88136747 + ], + [ + 41131711, + 98235331 + ], + [ + 99819497, + 83737819 + ], + [ + 21262663, + 91254123 + ], + [ + 59853095, + 17724458 + ], + [ + 95917273, + 1705956 + ], + [ + 2615545, + 49292490 + ], + [ + 24054595, + 37690127 + ], + [ + 57690330, + 57788541 + ], + [ + 21502034, + 62726772 + ], + [ + 2878857, + 47492623 + ], + [ + 27516860, + 43166696 + ], + [ + 56088348, + 92422065 + ], + [ + 92885227, + 2942724 + ], + [ + 2276194, + 43754876 + ], + [ + 29835609, + 87793859 + ], + [ + 78287595, + 11559029 + ], + [ + 38221945, + 68261965 + ], + [ + 62927549, + 84501324 + ], + [ + 68511386, + 37045878 + ], + [ + 7743994, + 19765923 + ], + [ + 85663919, + 96492045 + ], + [ + 52341733, + 24873224 + ], + [ + 19606621, + 75196545 + ], + [ + 1113312, + 536946 + ], + [ + 3323088, + 37415665 + ], + [ + 42700558, + 19191774 + ], + [ + 42728451, + 36023482 + ], + [ + 86092654, + 23848398 + ], + [ + 93007522, + 6841857 + ], + [ + 23188168, + 1857659 + ], + [ + 62728042, + 71506432 + ], + [ + 9836851, + 6011297 + ], + [ + 73536921, + 83061950 + ], + [ + 89364506, + 32048192 + ], + [ + 4834664, + 23903447 + ], + [ + 20838170, + 52649153 + ], + [ + 34032470, + 36831726 + ], + [ + 42281872, + 14970766 + ], + [ + 19762808, + 66327770 + ], + [ + 98436395, + 50997963 + ], + [ + 1974224, + 83399989 + ], + [ + 27622023, + 37870711 + ], + [ + 46346337, + 95357294 + ], + [ + 40948441, + 44678085 + ], + [ + 39124775, + 52536010 + ], + [ + 44405, + 58359813 + ], + [ + 99965225, + 65531824 + ], + [ + 46411515, + 72679875 + ], + [ + 44300211, + 65361825 + ], + [ + 72192726, + 41090796 + ], + [ + 53214971, + 76123648 + ], + [ + 27412053, + 43886978 + ], + [ + 61785407, + 58905207 + ], + [ + 52120932, + 3004425 + ], + [ + 18764616, + 14888063 + ], + [ + 20473517, + 47711183 + ], + [ + 31912225, + 21740367 + ], + [ + 44475813, + 36374134 + ], + [ + 39358046, + 99660819 + ], + [ + 47834926, + 13189184 + ], + [ + 62463594, + 43142515 + ], + [ + 4149630, + 98915775 + ], + [ + 81333575, + 29358856 + ], + [ + 1367523, + 34205387 + ], + [ + 78930424, + 85276229 + ], + [ + 16991291, + 77215153 + ], + [ + 78840025, + 94936019 + ], + [ + 30795481, + 66388496 + ], + [ + 804383, + 49338363 + ], + [ + 12856347, + 33421236 + ], + [ + 38100298, + 65132063 + ], + [ + 49438543, + 59015050 + ], + [ + 93053318, + 91453230 + ], + [ + 30954155, + 93638329 + ], + [ + 56864866, + 31512435 + ], + [ + 57106074, + 7370742 + ], + [ + 88627207, + 99117290 + ], + [ + 35358355, + 89468389 + ], + [ + 79493486, + 45124047 + ], + [ + 38842617, + 96163887 + ], + [ + 83139121, + 16558933 + ], + [ + 4027468, + 87477395 + ], + [ + 29131759, + 30972796 + ], + [ + 83084435, + 28826474 + ], + [ + 55992256, + 19436955 + ], + [ + 84616721, + 27711863 + ], + [ + 10721422, + 58903173 + ], + [ + 99251888, + 63205716 + ], + [ + 3216067, + 92451407 + ], + [ + 21978618, + 56644498 + ], + [ + 45248892, + 77000109 + ], + [ + 45903789, + 94037196 + ], + [ + 8369735, + 96304746 + ], + [ + 71763714, + 96289919 + ], + [ + 3139383, + 38252411 + ], + [ + 68783875, + 12046680 + ], + [ + 34369673, + 64793743 + ], + [ + 51820404, + 92834351 + ], + [ + 3547148, + 25297781 + ], + [ + 19308018, + 9725496 + ], + [ + 22919371, + 82467154 + ], + [ + 38224937, + 76082133 + ], + [ + 92232410, + 68471578 + ], + [ + 62359356, + 88152640 + ], + [ + 3687408, + 16307053 + ], + [ + 27076900, + 154642 + ], + [ + 87286545, + 19419155 + ], + [ + 63743690, + 57342410 + ], + [ + 8754824, + 6281465 + ], + [ + 68814608, + 86239421 + ], + [ + 28922808, + 48504286 + ], + [ + 28543244, + 15142105 + ], + [ + 40042625, + 84055484 + ], + [ + 59116412, + 93211899 + ], + [ + 20456857, + 8165509 + ], + [ + 11264711, + 54274066 + ], + [ + 14607576, + 83803927 + ], + [ + 80176193, + 54910985 + ], + [ + 58295194, + 89020413 + ], + [ + 73811133, + 51599673 + ], + [ + 90018671, + 3450574 + ], + [ + 69537927, + 35559285 + ], + [ + 28639596, + 33054555 + ], + [ + 99063926, + 2867074 + ], + [ + 65732059, + 86379808 + ], + [ + 60371535, + 83080082 + ], + [ + 24844458, + 4542147 + ], + [ + 12467834, + 73275069 + ], + [ + 39604433, + 52697393 + ], + [ + 25429268, + 58405258 + ], + [ + 92656963, + 20617825 + ], + [ + 29175549, + 31167946 + ], + [ + 63089062, + 1746960 + ], + [ + 48200819, + 39185579 + ], + [ + 12711068, + 75433966 + ], + [ + 90314743, + 80058297 + ], + [ + 64900075, + 97559837 + ], + [ + 22327406, + 33168289 + ], + [ + 23455630, + 64794385 + ], + [ + 85318876, + 86644373 + ], + [ + 15399261, + 88494508 + ], + [ + 74913805, + 37982522 + ], + [ + 1296523, + 1760083 + ], + [ + 11572921, + 74548385 + ], + [ + 97628492, + 53347719 + ], + [ + 67548724, + 28383863 + ], + [ + 96236816, + 35548024 + ], + [ + 78523033, + 43449721 + ], + [ + 22673685, + 25135377 + ], + [ + 48457616, + 78919705 + ], + [ + 80329346, + 46359568 + ], + [ + 80129628, + 88738038 + ], + [ + 39077179, + 3886028 + ], + [ + 21909277, + 36739384 + ], + [ + 46429146, + 18261194 + ], + [ + 57489330, + 26140598 + ], + [ + 71391328, + 75279039 + ], + [ + 28222293, + 21922942 + ], + [ + 82879756, + 73039820 + ], + [ + 86447214, + 34443414 + ], + [ + 11453321, + 88595506 + ], + [ + 75358646, + 38686361 + ], + [ + 39161040, + 66296193 + ], + [ + 73159367, + 84753138 + ], + [ + 84748877, + 87694934 + ], + [ + 2490649, + 54212289 + ], + [ + 58047231, + 86045394 + ], + [ + 3282829, + 11599943 + ], + [ + 51625175, + 22403089 + ], + [ + 68082459, + 73444925 + ], + [ + 7068849, + 82129853 + ], + [ + 35494172, + 25604174 + ], + [ + 90583370, + 64335279 + ], + [ + 50799110, + 4990759 + ], + [ + 29792415, + 93493848 + ], + [ + 63625473, + 60345831 + ], + [ + 359532, + 78606067 + ], + [ + 24218208, + 83865586 + ], + [ + 47422272, + 89407904 + ], + [ + 77327589, + 66320347 + ], + [ + 56186449, + 60413030 + ], + [ + 1174435, + 29631756 + ], + [ + 13179420, + 17714297 + ], + [ + 13131005, + 44778575 + ], + [ + 83985949, + 22872599 + ], + [ + 83391373, + 64238612 + ], + [ + 84994247, + 52302496 + ], + [ + 41363182, + 60537312 + ], + [ + 51965711, + 37832102 + ], + [ + 71924566, + 77681993 + ], + [ + 10428295, + 84158569 + ], + [ + 52784803, + 80602881 + ], + [ + 54036512, + 93370690 + ], + [ + 72516660, + 12512317 + ], + [ + 23616221, + 22595838 + ], + [ + 70228396, + 45111861 + ], + [ + 42516351, + 53129601 + ], + [ + 21579354, + 38618988 + ], + [ + 58217428, + 79812107 + ], + [ + 78744987, + 47233039 + ], + [ + 80326095, + 88217847 + ], + [ + 12275625, + 34515614 + ], + [ + 84986174, + 71121724 + ], + [ + 48536862, + 29696664 + ], + [ + 53858306, + 36059146 + ], + [ + 68790180, + 86886414 + ], + [ + 8680080, + 65192175 + ], + [ + 99872191, + 6135226 + ], + [ + 43730513, + 69438660 + ], + [ + 81352382, + 72454422 + ], + [ + 9363834, + 3666027 + ], + [ + 62503803, + 87539239 + ], + [ + 80832346, + 45806480 + ], + [ + 26613172, + 89769697 + ], + [ + 54700036, + 50795095 + ], + [ + 85615560, + 47612173 + ], + [ + 67098822, + 35796465 + ], + [ + 48429499, + 5277754 + ], + [ + 60852915, + 31753656 + ], + [ + 81178573, + 53537627 + ], + [ + 69932579, + 30582043 + ], + [ + 78329994, + 22973336 + ], + [ + 79391424, + 89850668 + ], + [ + 24708245, + 40203485 + ], + [ + 94677923, + 67582751 + ], + [ + 44928044, + 41804196 + ], + [ + 55424396, + 74962852 + ], + [ + 79542634, + 83116185 + ], + [ + 8953735, + 15236544 + ], + [ + 64941325, + 38548929 + ], + [ + 52792214, + 96657447 + ], + [ + 67713148, + 35589945 + ], + [ + 36876665, + 35158313 + ], + [ + 90872616, + 82414150 + ], + [ + 82322985, + 56705242 + ], + [ + 92068667, + 67042153 + ], + [ + 36651329, + 89232750 + ], + [ + 79024262, + 85343943 + ], + [ + 96964848, + 52870466 + ], + [ + 2408878, + 16156655 + ], + [ + 86251173, + 78693242 + ], + [ + 73634954, + 31035360 + ], + [ + 73024091, + 18034462 + ], + [ + 31678462, + 95460883 + ], + [ + 34432986, + 80542822 + ], + [ + 33739171, + 28309158 + ], + [ + 60198284, + 12604000 + ], + [ + 31628022, + 67387076 + ], + [ + 51435794, + 58704688 + ], + [ + 5218105, + 43946658 + ], + [ + 75475971, + 36642894 + ], + [ + 42141946, + 39507729 + ], + [ + 75801237, + 5552524 + ], + [ + 75002263, + 98588569 + ], + [ + 19567471, + 31913310 + ], + [ + 49907594, + 51967714 + ], + [ + 56030622, + 24182929 + ], + [ + 18823679, + 64693100 + ], + [ + 56487611, + 80926375 + ], + [ + 49769002, + 80848844 + ], + [ + 79495906, + 50161960 + ], + [ + 9683586, + 79516721 + ], + [ + 65947078, + 21912997 + ], + [ + 67696499, + 62920608 + ], + [ + 79916410, + 62845904 + ], + [ + 80358551, + 89683762 + ], + [ + 48131106, + 81039753 + ], + [ + 72701970, + 73695918 + ], + [ + 20427019, + 64243621 + ], + [ + 94043104, + 87372271 + ], + [ + 48885543, + 76607196 + ], + [ + 50812368, + 62280893 + ], + [ + 64120972, + 55115494 + ], + [ + 11649073, + 75991025 + ], + [ + 16209045, + 68318731 + ], + [ + 96810108, + 69836079 + ], + [ + 43538237, + 61834990 + ], + [ + 47302244, + 95754346 + ], + [ + 74893538, + 64921158 + ], + [ + 12737223, + 42842748 + ], + [ + 46846070, + 64966991 + ], + [ + 45794363, + 15541943 + ], + [ + 72868043, + 55940911 + ], + [ + 84971313, + 57084870 + ], + [ + 66201159, + 24287495 + ], + [ + 42044205, + 55281295 + ], + [ + 73633332, + 52559658 + ], + [ + 73796254, + 78546805 + ], + [ + 56020115, + 42041450 + ], + [ + 55349959, + 52288863 + ], + [ + 85936415, + 54031566 + ], + [ + 58635786, + 11114907 + ], + [ + 39931047, + 22388879 + ], + [ + 17065634, + 63323620 + ], + [ + 94588095, + 64460377 + ], + [ + 67342826, + 96423939 + ], + [ + 16191598, + 37523771 + ], + [ + 9815795, + 68557479 + ], + [ + 64448970, + 48549299 + ], + [ + 36296259, + 68008645 + ], + [ + 51353513, + 93007736 + ], + [ + 37954615, + 55943282 + ], + [ + 72781585, + 68088028 + ], + [ + 54784758, + 23183293 + ], + [ + 3513714, + 41175406 + ], + [ + 80349305, + 89269121 + ], + [ + 55760738, + 64489424 + ], + [ + 70234782, + 14611810 + ], + [ + 25659925, + 87532836 + ], + [ + 2064837, + 8487451 + ], + [ + 91210214, + 89372132 + ], + [ + 40054166, + 75505183 + ], + [ + 10519211, + 8731224 + ], + [ + 97745720, + 70165468 + ], + [ + 5939254, + 89447596 + ], + [ + 15554913, + 67900544 + ], + [ + 15298956, + 93753058 + ], + [ + 87637933, + 67152896 + ], + [ + 93484699, + 95963698 + ], + [ + 16757812, + 32774016 + ], + [ + 78412277, + 44766335 + ], + [ + 24824655, + 33338323 + ], + [ + 63693643, + 94265184 + ], + [ + 79486047, + 39748269 + ], + [ + 46350326, + 31048758 + ], + [ + 11426330, + 71816281 + ], + [ + 37396643, + 5883239 + ], + [ + 83971836, + 90779791 + ], + [ + 98662276, + 37448911 + ], + [ + 37993108, + 69767839 + ], + [ + 80663509, + 63938982 + ], + [ + 45726275, + 56190708 + ], + [ + 74460600, + 96052567 + ], + [ + 6161131, + 61837250 + ], + [ + 50005338, + 1770466 + ], + [ + 64681366, + 12951105 + ], + [ + 54487900, + 11395578 + ], + [ + 96685605, + 28448939 + ], + [ + 79533522, + 94143106 + ], + [ + 2284259, + 33685681 + ], + [ + 8975196, + 24139649 + ], + [ + 89482351, + 34981241 + ], + [ + 20781230, + 74780953 + ], + [ + 72817585, + 78414056 + ], + [ + 59203106, + 97603272 + ], + [ + 76255202, + 64201420 + ], + [ + 19707104, + 74711151 + ], + [ + 57634508, + 88551283 + ], + [ + 15193683, + 39484952 + ], + [ + 92018663, + 42533843 + ], + [ + 48845728, + 53821812 + ], + [ + 31481849, + 94872345 + ], + [ + 55000516, + 72682662 + ], + [ + 80263912, + 39010830 + ], + [ + 20316815, + 90266001 + ], + [ + 64622494, + 86801535 + ], + [ + 9047890, + 88376880 + ], + [ + 63116977, + 39532906 + ], + [ + 97056367, + 90790355 + ], + [ + 52203341, + 96791403 + ], + [ + 7246135, + 15522299 + ], + [ + 85502066, + 2568615 + ], + [ + 85454340, + 36466068 + ], + [ + 15334970, + 8336671 + ], + [ + 27395013, + 94333163 + ], + [ + 39379723, + 91502501 + ], + [ + 51228930, + 22355000 + ], + [ + 63115261, + 36073726 + ], + [ + 45473481, + 76073078 + ], + [ + 29253713, + 14726358 + ], + [ + 234636, + 16991856 + ], + [ + 61549070, + 17592842 + ], + [ + 99685215, + 47357936 + ], + [ + 58839879, + 68159115 + ], + [ + 10384852, + 82954936 + ], + [ + 81293281, + 36261432 + ], + [ + 84550503, + 54416256 + ], + [ + 28598824, + 18648663 + ], + [ + 8845354, + 71451747 + ], + [ + 15386701, + 29967658 + ], + [ + 63289037, + 29604662 + ], + [ + 1095092, + 7075521 + ], + [ + 47287989, + 32149858 + ], + [ + 54743591, + 25580699 + ], + [ + 13492779, + 19861910 + ], + [ + 60281997, + 43031129 + ], + [ + 55117641, + 39886120 + ], + [ + 42612180, + 8654649 + ], + [ + 19266420, + 76056552 + ], + [ + 46803092, + 24044415 + ], + [ + 23976053, + 11518398 + ], + [ + 84455422, + 69440206 + ], + [ + 29077288, + 26429645 + ], + [ + 68257026, + 81850520 + ], + [ + 8798590, + 53308330 + ], + [ + 68280454, + 73659502 + ], + [ + 83931608, + 53192401 + ], + [ + 99831532, + 25962565 + ], + [ + 38554605, + 46589725 + ], + [ + 27787368, + 2205536 + ], + [ + 57578390, + 23225447 + ], + [ + 79552323, + 22993176 + ], + [ + 24300934, + 57636421 + ], + [ + 76370285, + 77516533 + ], + [ + 5526522, + 96515565 + ], + [ + 10938484, + 95364985 + ], + [ + 606350, + 74054992 + ], + [ + 90049000, + 61875303 + ], + [ + 74187090, + 67709177 + ], + [ + 6732011, + 93402446 + ], + [ + 9691314, + 51583320 + ], + [ + 16636011, + 20760348 + ], + [ + 20847637, + 74169477 + ], + [ + 91382210, + 75082548 + ], + [ + 30253717, + 606241 + ], + [ + 65189699, + 60030205 + ], + [ + 11776588, + 3771576 + ], + [ + 38905568, + 52146913 + ], + [ + 28666455, + 28548091 + ], + [ + 20944200, + 13836709 + ], + [ + 20760714, + 84291970 + ], + [ + 94720444, + 94546272 + ], + [ + 38560542, + 94507744 + ], + [ + 62810037, + 11593703 + ], + [ + 89516557, + 56218714 + ], + [ + 8254879, + 15188974 + ], + [ + 88367107, + 81967251 + ], + [ + 48498677, + 41638691 + ], + [ + 12530603, + 74626877 + ], + [ + 31458694, + 28249372 + ], + [ + 64272485, + 19126647 + ], + [ + 25235841, + 44079202 + ], + [ + 36823613, + 1512101 + ], + [ + 16403231, + 50610692 + ], + [ + 54619466, + 32241471 + ], + [ + 4446362, + 39651066 + ], + [ + 56388077, + 19741588 + ], + [ + 79170811, + 88789290 + ], + [ + 53383032, + 51080893 + ], + [ + 79639295, + 1223864 + ], + [ + 71940780, + 6586268 + ], + [ + 8975208, + 92863410 + ], + [ + 25372904, + 56830301 + ], + [ + 652167, + 76178025 + ], + [ + 59762950, + 25298599 + ], + [ + 40588413, + 46222133 + ], + [ + 48762405, + 14907538 + ], + [ + 19465960, + 85195479 + ], + [ + 91838759, + 96236005 + ], + [ + 31104000, + 96020949 + ], + [ + 48360424, + 31512561 + ], + [ + 19262995, + 59771665 + ], + [ + 84295790, + 58913638 + ], + [ + 2460266, + 86790246 + ], + [ + 45731568, + 11346992 + ], + [ + 5074965, + 97876023 + ], + [ + 50934976, + 47917940 + ], + [ + 84603999, + 11708843 + ], + [ + 82232425, + 3428372 + ], + [ + 19227930, + 34774986 + ], + [ + 22776736, + 18719378 + ], + [ + 42597053, + 50241692 + ], + [ + 94800608, + 49407203 + ], + [ + 89752728, + 42880128 + ], + [ + 20177674, + 56109789 + ], + [ + 56092327, + 79116251 + ], + [ + 23035151, + 53559895 + ], + [ + 37828729, + 89228119 + ], + [ + 3857674, + 65163964 + ], + [ + 3455843, + 77175327 + ], + [ + 22553631, + 1669856 + ], + [ + 31249712, + 32175225 + ], + [ + 9588375, + 53365245 + ], + [ + 36486975, + 85488667 + ], + [ + 53794384, + 33372357 + ], + [ + 63829962, + 67718847 + ], + [ + 67550312, + 53457118 + ], + [ + 40098204, + 84769477 + ], + [ + 85672369, + 96032478 + ], + [ + 95922526, + 1262275 + ], + [ + 55601004, + 92941884 + ], + [ + 66180452, + 73120350 + ], + [ + 89507787, + 42974617 + ], + [ + 45359077, + 47006632 + ], + [ + 56626799, + 97157409 + ], + [ + 2819739, + 58619109 + ], + [ + 73917115, + 9513797 + ], + [ + 45420771, + 75647795 + ], + [ + 18949989, + 72115170 + ], + [ + 20027844, + 58320338 + ], + [ + 52503258, + 42799968 + ], + [ + 15443513, + 61021802 + ], + [ + 13718179, + 34443279 + ], + [ + 35822955, + 55545391 + ], + [ + 8040658, + 59539777 + ], + [ + 35413529, + 51308868 + ], + [ + 77069032, + 31299218 + ], + [ + 26048884, + 34831620 + ], + [ + 50653332, + 79863349 + ], + [ + 19589760, + 72799093 + ], + [ + 62251298, + 49265800 + ], + [ + 91966186, + 52141362 + ], + [ + 17977616, + 38877789 + ], + [ + 89398005, + 40683102 + ], + [ + 99554819, + 74534623 + ], + [ + 52276341, + 15271064 + ], + [ + 69180581, + 45683535 + ], + [ + 96680716, + 4850745 + ], + [ + 87308060, + 18779230 + ], + [ + 32659410, + 67835766 + ], + [ + 66807015, + 13436717 + ], + [ + 50536045, + 63924423 + ], + [ + 91584872, + 42534966 + ], + [ + 32573334, + 2622766 + ], + [ + 13873916, + 27337805 + ], + [ + 38274847, + 3946913 + ], + [ + 77283684, + 31909922 + ], + [ + 58514941, + 3851419 + ], + [ + 64524697, + 98519516 + ], + [ + 66204412, + 51390815 + ], + [ + 54784464, + 67120959 + ], + [ + 30521414, + 53069492 + ], + [ + 94318653, + 50863872 + ], + [ + 60048350, + 88074221 + ], + [ + 13599750, + 47058823 + ], + [ + 45257840, + 89818304 + ], + [ + 60929269, + 12073341 + ], + [ + 16486078, + 88838195 + ], + [ + 50173924, + 50100244 + ], + [ + 77162743, + 46985234 + ], + [ + 98013590, + 28291031 + ], + [ + 43434874, + 49393091 + ], + [ + 94376105, + 62647151 + ], + [ + 42316482, + 14578647 + ], + [ + 92976669, + 10858711 + ], + [ + 16055417, + 30504035 + ], + [ + 96215885, + 3182398 + ], + [ + 80862539, + 94524050 + ], + [ + 95436646, + 82941923 + ], + [ + 64316624, + 20192031 + ], + [ + 70175494, + 71939655 + ], + [ + 44356066, + 69673113 + ], + [ + 18165684, + 91367285 + ], + [ + 27050714, + 77838417 + ], + [ + 83846337, + 88248433 + ], + [ + 62671444, + 74152488 + ], + [ + 62167053, + 92264674 + ], + [ + 35455797, + 48387060 + ], + [ + 31772847, + 14754990 + ], + [ + 29910439, + 94104144 + ], + [ + 5104362, + 84991752 + ], + [ + 69724848, + 64432708 + ], + [ + 37300497, + 93800252 + ], + [ + 58757233, + 25765606 + ], + [ + 60393421, + 1375264 + ], + [ + 33307310, + 7641907 + ], + [ + 62127618, + 70573955 + ], + [ + 38647667, + 87627265 + ], + [ + 13592360, + 12099868 + ], + [ + 24903890, + 55016209 + ], + [ + 49695595, + 54108065 + ], + [ + 97091485, + 98075578 + ], + [ + 98836598, + 52387837 + ], + [ + 19660779, + 9128635 + ], + [ + 73652297, + 7889261 + ], + [ + 51370186, + 87618319 + ], + [ + 81955671, + 10614807 + ], + [ + 96875844, + 29641375 + ], + [ + 27452182, + 47199188 + ], + [ + 6624991, + 9717520 + ], + [ + 91002607, + 37455992 + ], + [ + 3078594, + 81096322 + ], + [ + 39402610, + 89359144 + ], + [ + 30481467, + 1526159 + ], + [ + 7238571, + 7432705 + ], + [ + 19918704, + 5629767 + ], + [ + 35115183, + 27791804 + ], + [ + 29981453, + 87428269 + ], + [ + 67176136, + 15567605 + ], + [ + 4371211, + 77516220 + ], + [ + 99546017, + 30512230 + ], + [ + 27410670, + 7136864 + ], + [ + 68353729, + 88552989 + ], + [ + 54446227, + 82864327 + ], + [ + 15582531, + 67660821 + ], + [ + 18796190, + 12245850 + ], + [ + 79709219, + 7731853 + ], + [ + 59713609, + 85048575 + ], + [ + 99835176, + 92315539 + ], + [ + 51119333, + 27457304 + ], + [ + 3850653, + 70052916 + ], + [ + 18808725, + 18687617 + ], + [ + 50428732, + 27874556 + ], + [ + 70243173, + 33507027 + ], + [ + 12581893, + 45679576 + ], + [ + 73100576, + 54265822 + ], + [ + 68061032, + 17930013 + ], + [ + 30921015, + 81208542 + ], + [ + 63469647, + 55393485 + ], + [ + 31870720, + 76209328 + ], + [ + 45940746, + 74991710 + ], + [ + 45880612, + 23536948 + ], + [ + 15381554, + 29907519 + ], + [ + 33235531, + 32704374 + ], + [ + 39488379, + 75140084 + ], + [ + 46894743, + 67729323 + ], + [ + 70391636, + 28133957 + ], + [ + 4286114, + 70530986 + ], + [ + 62260228, + 27116388 + ], + [ + 27133380, + 61819227 + ], + [ + 93342202, + 69057048 + ], + [ + 72628410, + 10904720 + ], + [ + 75728586, + 13586402 + ], + [ + 43255471, + 98115062 + ], + [ + 94821226, + 57723986 + ], + [ + 16539497, + 14513601 + ], + [ + 66239364, + 93641744 + ], + [ + 4517270, + 37280883 + ], + [ + 96203837, + 41401780 + ], + [ + 3041904, + 61691494 + ], + [ + 9626576, + 92335593 + ], + [ + 42233386, + 24268600 + ], + [ + 6556415, + 10960444 + ], + [ + 64991771, + 43653421 + ], + [ + 57506099, + 18001001 + ], + [ + 63130799, + 41682875 + ], + [ + 52852460, + 30955276 + ], + [ + 50589798, + 37651749 + ], + [ + 60044902, + 74200569 + ], + [ + 33815907, + 94046579 + ], + [ + 27242843, + 6569512 + ], + [ + 29839575, + 52934490 + ], + [ + 35456406, + 33157807 + ], + [ + 47552226, + 42194123 + ], + [ + 80151756, + 38285218 + ], + [ + 36077287, + 2854185 + ], + [ + 5931234, + 95903346 + ], + [ + 32756307, + 78446095 + ], + [ + 50428844, + 31508938 + ], + [ + 16037326, + 48765248 + ], + [ + 3233409, + 6343805 + ], + [ + 21534537, + 33135527 + ], + [ + 44291681, + 58327903 + ], + [ + 31634187, + 97574660 + ], + [ + 76105817, + 62566434 + ], + [ + 46681698, + 11738635 + ], + [ + 24918349, + 7380686 + ], + [ + 35257079, + 52191204 + ], + [ + 86726321, + 31241773 + ], + [ + 35568413, + 28165699 + ], + [ + 8920159, + 66739928 + ], + [ + 97854200, + 12313769 + ], + [ + 46279603, + 82857379 + ], + [ + 68870081, + 73231870 + ], + [ + 56247161, + 48871443 + ], + [ + 44546274, + 26675411 + ], + [ + 56201955, + 54046071 + ], + [ + 4872525, + 13111048 + ], + [ + 79478084, + 45568321 + ], + [ + 80967871, + 15107397 + ], + [ + 60359357, + 93482536 + ], + [ + 98988079, + 93195640 + ], + [ + 27640535, + 38822701 + ], + [ + 37738026, + 25919078 + ], + [ + 83562133, + 90618172 + ], + [ + 67928966, + 22804377 + ], + [ + 64388168, + 85895348 + ], + [ + 84908782, + 22260334 + ], + [ + 89072577, + 35499018 + ], + [ + 94124954, + 11466523 + ], + [ + 89487185, + 26800805 + ], + [ + 78803126, + 73844763 + ], + [ + 27715729, + 42290310 + ], + [ + 44000278, + 50257157 + ], + [ + 3528502, + 53517881 + ], + [ + 3307251, + 22524975 + ], + [ + 35965626, + 80327175 + ], + [ + 31288072, + 16203250 + ], + [ + 76485814, + 19741927 + ], + [ + 92308799, + 46582639 + ], + [ + 65532590, + 95878795 + ], + [ + 35668379, + 5227889 + ], + [ + 77924265, + 28840404 + ], + [ + 55325791, + 28262726 + ], + [ + 19920907, + 33607013 + ], + [ + 78352963, + 81607693 + ], + [ + 71045519, + 38227038 + ], + [ + 3245781, + 43731009 + ], + [ + 31465902, + 43173073 + ], + [ + 30714585, + 78570752 + ], + [ + 98770932, + 70814506 + ], + [ + 3966259, + 72856909 + ], + [ + 92929712, + 28811770 + ], + [ + 44162949, + 40900542 + ], + [ + 31499825, + 65517933 + ], + [ + 65736232, + 11372207 + ], + [ + 7919558, + 90477439 + ], + [ + 48786522, + 67004365 + ], + [ + 54182044, + 11547097 + ], + [ + 13001134, + 31390687 + ], + [ + 30197257, + 10005045 + ], + [ + 8231428, + 50745188 + ], + [ + 67243885, + 82547508 + ], + [ + 32590722, + 92677553 + ], + [ + 49792807, + 63795188 + ], + [ + 32161805, + 71412129 + ], + [ + 81316191, + 67004846 + ], + [ + 91569174, + 87495285 + ], + [ + 58006228, + 59907520 + ], + [ + 62018522, + 19496006 + ], + [ + 94279586, + 23912240 + ], + [ + 77873796, + 73003445 + ], + [ + 86735807, + 33820325 + ], + [ + 21006581, + 19906238 + ], + [ + 58316041, + 36974402 + ], + [ + 14959223, + 82503077 + ], + [ + 30359773, + 90668239 + ], + [ + 14252356, + 85581016 + ], + [ + 90583447, + 8761002 + ], + [ + 83925230, + 9067696 + ], + [ + 21033380, + 14863858 + ], + [ + 23352528, + 82759749 + ], + [ + 6090697, + 77800824 + ], + [ + 18014654, + 84699918 + ], + [ + 55430615, + 40044128 + ], + [ + 92408497, + 87231465 + ], + [ + 65354460, + 41466030 + ], + [ + 27136821, + 19346567 + ], + [ + 36300692, + 28769489 + ], + [ + 49430713, + 37425872 + ], + [ + 86273049, + 52885990 + ], + [ + 12472202, + 41889101 + ], + [ + 32201556, + 8969656 + ], + [ + 21180404, + 20816842 + ], + [ + 72667147, + 59255455 + ], + [ + 54261841, + 89979037 + ], + [ + 30155124, + 99134037 + ], + [ + 6870044, + 63118152 + ], + [ + 19956477, + 2056411 + ], + [ + 23933715, + 12057950 + ], + [ + 44183151, + 74719788 + ], + [ + 3356299, + 90568957 + ], + [ + 62185589, + 7683264 + ], + [ + 1570025, + 98025838 + ], + [ + 47885683, + 23747362 + ], + [ + 24169301, + 88857646 + ], + [ + 89903143, + 31601376 + ], + [ + 29775426, + 59462311 + ], + [ + 52276406, + 11404192 + ], + [ + 21223170, + 8438552 + ], + [ + 59840933, + 4229479 + ], + [ + 91580808, + 52139623 + ], + [ + 95264904, + 31901987 + ], + [ + 48351853, + 30561234 + ], + [ + 41150610, + 73474934 + ], + [ + 6009726, + 92753409 + ], + [ + 23068927, + 74604455 + ], + [ + 68896416, + 37911539 + ], + [ + 98639577, + 59678547 + ], + [ + 36079046, + 67742818 + ], + [ + 29765285, + 10314251 + ], + [ + 42326665, + 22221988 + ], + [ + 17355783, + 99763644 + ], + [ + 76203969, + 97030769 + ], + [ + 55615171, + 34219267 + ], + [ + 26654986, + 28231937 + ], + [ + 60326224, + 89822035 + ], + [ + 67112096, + 71349293 + ], + [ + 22919078, + 284829 + ], + [ + 70199727, + 76989438 + ], + [ + 57771110, + 29752549 + ], + [ + 1336821, + 66996765 + ], + [ + 59921564, + 8912325 + ], + [ + 90665607, + 51689851 + ], + [ + 20457905, + 68924873 + ], + [ + 6394815, + 49836887 + ], + [ + 53798608, + 14432476 + ], + [ + 25476640, + 63574503 + ], + [ + 40313751, + 7498989 + ], + [ + 22772799, + 80325342 + ], + [ + 58575246, + 51334993 + ], + [ + 85422423, + 4264885 + ], + [ + 41712366, + 84329137 + ], + [ + 60391209, + 78973669 + ], + [ + 57552884, + 68196902 + ], + [ + 97257643, + 33794195 + ], + [ + 26265084, + 51794436 + ], + [ + 96216860, + 57351596 + ], + [ + 83910774, + 11635104 + ], + [ + 46300187, + 90727989 + ], + [ + 91430283, + 18456133 + ], + [ + 17799549, + 30880359 + ], + [ + 77651367, + 26525731 + ], + [ + 47559607, + 4403088 + ], + [ + 55583133, + 31297897 + ], + [ + 75495889, + 39093765 + ], + [ + 8829271, + 15945667 + ], + [ + 96549817, + 96649753 + ], + [ + 16335454, + 39806673 + ], + [ + 40893883, + 85263320 + ], + [ + 41159552, + 9806040 + ], + [ + 97178047, + 2503995 + ], + [ + 98359284, + 24888575 + ], + [ + 99407872, + 39060445 + ], + [ + 32616145, + 36761279 + ], + [ + 84916668, + 4617142 + ], + [ + 93768042, + 91560160 + ], + [ + 66956378, + 7222877 + ], + [ + 48522826, + 20989138 + ], + [ + 79950765, + 3373164 + ], + [ + 77242160, + 84495602 + ], + [ + 98608284, + 83314246 + ], + [ + 63247075, + 60525448 + ], + [ + 46019495, + 45917957 + ], + [ + 55671845, + 97709062 + ], + [ + 56535699, + 47902149 + ], + [ + 9287983, + 67103888 + ], + [ + 13528684, + 82474491 + ], + [ + 11566067, + 52359829 + ], + [ + 72192586, + 6719584 + ], + [ + 54986453, + 40722380 + ], + [ + 13832788, + 24542513 + ], + [ + 99919360, + 19390836 + ], + [ + 90111297, + 96942999 + ], + [ + 87396492, + 15924752 + ], + [ + 10468111, + 51741496 + ], + [ + 95411494, + 60312633 + ], + [ + 43724674, + 7681373 + ], + [ + 98067104, + 47359594 + ], + [ + 51742256, + 68919110 + ], + [ + 23920232, + 11822062 + ], + [ + 24581961, + 75350938 + ], + [ + 14300999, + 66555653 + ], + [ + 19795649, + 6639248 + ], + [ + 8130424, + 58895814 + ], + [ + 54488544, + 79410005 + ], + [ + 83683406, + 62383292 + ], + [ + 80021997, + 50634823 + ], + [ + 31044523, + 30297334 + ], + [ + 78666675, + 26928019 + ], + [ + 72167382, + 37100287 + ], + [ + 69097428, + 29649719 + ], + [ + 10470999, + 65297746 + ], + [ + 91088513, + 15627949 + ], + [ + 83223879, + 62792705 + ], + [ + 18059579, + 20626025 + ], + [ + 16516972, + 21151272 + ], + [ + 37606436, + 67764224 + ], + [ + 13677818, + 35206234 + ], + [ + 91961439, + 58600590 + ], + [ + 59773673, + 50245776 + ], + [ + 90334839, + 21986215 + ], + [ + 43143643, + 87061534 + ], + [ + 86554179, + 62710004 + ], + [ + 15670201, + 91168240 + ], + [ + 27920835, + 62314820 + ], + [ + 57549116, + 78554775 + ], + [ + 20270213, + 41055251 + ], + [ + 46805580, + 67545742 + ], + [ + 64201075, + 64883738 + ], + [ + 87824177, + 40328016 + ], + [ + 89129328, + 82307737 + ], + [ + 35526190, + 81296756 + ], + [ + 54710056, + 44442176 + ], + [ + 70852301, + 8902855 + ], + [ + 70108661, + 53470292 + ], + [ + 35446348, + 35366719 + ], + [ + 15348729, + 42760927 + ], + [ + 44334928, + 45875718 + ], + [ + 64318846, + 64802454 + ], + [ + 130008, + 40437660 + ], + [ + 46425147, + 81899235 + ], + [ + 41840305, + 77966964 + ], + [ + 3111369, + 3391280 + ], + [ + 67833612, + 22376543 + ], + [ + 82314272, + 17409637 + ], + [ + 92100817, + 49229532 + ], + [ + 23344347, + 32896858 + ], + [ + 11913590, + 30082658 + ], + [ + 64471137, + 80248467 + ], + [ + 91868192, + 14785952 + ], + [ + 79249350, + 90329374 + ], + [ + 51810642, + 33190061 + ], + [ + 58441939, + 48081748 + ], + [ + 75462148, + 34768185 + ], + [ + 68561148, + 68263175 + ], + [ + 14033349, + 82666747 + ], + [ + 43184087, + 85856891 + ], + [ + 767713, + 4067485 + ], + [ + 12156304, + 20931338 + ], + [ + 1538847, + 5375622 + ], + [ + 62523951, + 35221816 + ], + [ + 9533984, + 51787344 + ], + [ + 19832164, + 59568313 + ], + [ + 16601995, + 13958343 + ], + [ + 97316273, + 77272860 + ], + [ + 76515049, + 30041353 + ], + [ + 28969744, + 93908601 + ], + [ + 96228519, + 11559437 + ], + [ + 55395888, + 52223305 + ], + [ + 50980690, + 71554226 + ], + [ + 30521192, + 86746652 + ], + [ + 56385926, + 34710944 + ], + [ + 99639403, + 19002116 + ], + [ + 90167967, + 9394541 + ], + [ + 6131538, + 8895407 + ], + [ + 50985462, + 49668712 + ], + [ + 90597839, + 58504009 + ], + [ + 90600683, + 55646022 + ], + [ + 59951557, + 51994039 + ], + [ + 93732296, + 77723659 + ], + [ + 7626768, + 1901900 + ], + [ + 25427223, + 64390513 + ], + [ + 27178119, + 50865771 + ], + [ + 88489130, + 46374938 + ], + [ + 80048853, + 49907464 + ], + [ + 83219156, + 55608751 + ], + [ + 76277596, + 36366071 + ], + [ + 70628673, + 77441278 + ], + [ + 51455070, + 64077957 + ], + [ + 17327107, + 8012419 + ], + [ + 78146102, + 20055110 + ], + [ + 36338181, + 77777387 + ], + [ + 8529584, + 71131102 + ], + [ + 8091243, + 96228920 + ], + [ + 68452364, + 27591749 + ], + [ + 32245143, + 26439455 + ], + [ + 12291495, + 46309054 + ], + [ + 73617228, + 60934810 + ], + [ + 1338833, + 86149786 + ], + [ + 64992364, + 49466837 + ], + [ + 28856588, + 36448822 + ], + [ + 77406824, + 67849615 + ], + [ + 52488940, + 63171275 + ], + [ + 96768521, + 16105525 + ], + [ + 78073849, + 99727847 + ], + [ + 38479164, + 45396338 + ], + [ + 24952691, + 61243067 + ], + [ + 53120719, + 66056085 + ], + [ + 25100041, + 17875108 + ], + [ + 15062614, + 92572582 + ], + [ + 26007798, + 40971795 + ], + [ + 28932577, + 42920502 + ], + [ + 30825908, + 81774002 + ], + [ + 97215931, + 71226374 + ], + [ + 75883367, + 39527618 + ], + [ + 79872492, + 88523835 + ], + [ + 49055655, + 65974123 + ], + [ + 81976384, + 68432939 + ], + [ + 69266440, + 65772244 + ], + [ + 10968307, + 71292519 + ], + [ + 7185678, + 17317246 + ], + [ + 15436612, + 30344334 + ], + [ + 85146655, + 75544891 + ], + [ + 60738940, + 27007999 + ], + [ + 7189487, + 55741164 + ], + [ + 83838804, + 46404846 + ], + [ + 90894819, + 89243582 + ], + [ + 79690085, + 89378330 + ], + [ + 28368469, + 42164503 + ], + [ + 26337002, + 86964043 + ], + [ + 90636963, + 51445895 + ], + [ + 27844239, + 85731316 + ], + [ + 22564354, + 68877830 + ], + [ + 27479668, + 83242899 + ], + [ + 5599716, + 43658259 + ], + [ + 31232511, + 98328621 + ], + [ + 17342230, + 84464856 + ], + [ + 66855033, + 18355146 + ], + [ + 17006683, + 344158 + ], + [ + 38068412, + 79389044 + ], + [ + 83594991, + 85876240 + ], + [ + 56865152, + 74154284 + ], + [ + 21336966, + 45792483 + ], + [ + 11583667, + 34271523 + ], + [ + 18387228, + 84063838 + ], + [ + 62653575, + 89386088 + ], + [ + 76433458, + 85041992 + ], + [ + 48288794, + 80567863 + ], + [ + 38668049, + 76495857 + ], + [ + 5207317, + 45609280 + ], + [ + 46482570, + 16445309 + ], + [ + 44804050, + 38390305 + ], + [ + 22974840, + 45301023 + ], + [ + 20322135, + 43678874 + ], + [ + 17152811, + 95350407 + ], + [ + 38280391, + 67946300 + ], + [ + 48297481, + 53354081 + ], + [ + 39097962, + 77638407 + ], + [ + 28269836, + 62848779 + ], + [ + 41933464, + 56545958 + ], + [ + 83532344, + 70745480 + ], + [ + 3327920, + 56668823 + ], + [ + 93500876, + 33445067 + ], + [ + 98261293, + 6052949 + ], + [ + 48231147, + 29068614 + ], + [ + 38108782, + 29047622 + ], + [ + 81962889, + 93729260 + ], + [ + 89473440, + 12487490 + ], + [ + 29306121, + 15775703 + ], + [ + 89323059, + 77125225 + ], + [ + 12641809, + 42568252 + ], + [ + 11070992, + 20761053 + ], + [ + 88412318, + 99442495 + ], + [ + 79324298, + 30418336 + ], + [ + 55595766, + 39979691 + ], + [ + 76724992, + 12206355 + ], + [ + 68436720, + 713731 + ], + [ + 66430585, + 51987137 + ], + [ + 37972532, + 1812232 + ], + [ + 54578060, + 70601175 + ], + [ + 23584949, + 58459711 + ], + [ + 12599825, + 30620793 + ], + [ + 208860, + 87923484 + ], + [ + 14839157, + 61892998 + ], + [ + 97227975, + 37351300 + ], + [ + 45222607, + 61559567 + ], + [ + 82498707, + 27260361 + ], + [ + 25045071, + 41482907 + ], + [ + 88009498, + 98382020 + ], + [ + 25937665, + 34469656 + ], + [ + 196494, + 82527802 + ], + [ + 60849349, + 6432016 + ], + [ + 78571443, + 32005686 + ], + [ + 84582158, + 84412244 + ], + [ + 56659624, + 95069912 + ], + [ + 88078027, + 95287100 + ], + [ + 7502323, + 37847507 + ], + [ + 96294905, + 80109278 + ], + [ + 84421407, + 70832646 + ], + [ + 13330067, + 60113601 + ], + [ + 18146948, + 59753725 + ], + [ + 50485864, + 40996931 + ], + [ + 343009, + 6336098 + ], + [ + 23067975, + 21907678 + ], + [ + 9267413, + 23227204 + ], + [ + 76392773, + 42995673 + ], + [ + 47424609, + 57477632 + ], + [ + 33010944, + 8130030 + ], + [ + 83686883, + 90247152 + ], + [ + 15449654, + 64054917 + ], + [ + 82035402, + 77140090 + ], + [ + 92407474, + 75216565 + ], + [ + 2777696, + 13787258 + ], + [ + 72236759, + 7458118 + ], + [ + 17411756, + 18936244 + ], + [ + 1613263, + 37275782 + ], + [ + 54824006, + 67957971 + ], + [ + 86134578, + 92855489 + ], + [ + 37411675, + 71639809 + ], + [ + 17213857, + 86380271 + ], + [ + 76209727, + 73846545 + ], + [ + 91629705, + 19057632 + ], + [ + 97554604, + 24869677 + ], + [ + 612283, + 70184506 + ], + [ + 33369407, + 43631078 + ], + [ + 58171902, + 17767850 + ], + [ + 93564831, + 24062233 + ], + [ + 16337834, + 64744824 + ], + [ + 30713185, + 19047383 + ], + [ + 95068555, + 33018180 + ], + [ + 1195962, + 63089166 + ], + [ + 91266064, + 9350816 + ], + [ + 2369468, + 47430786 + ], + [ + 793689, + 89557376 + ], + [ + 15540179, + 8697420 + ], + [ + 21401762, + 6224720 + ], + [ + 26416135, + 93030339 + ], + [ + 17860177, + 61716459 + ], + [ + 76120443, + 84192762 + ], + [ + 32194894, + 67503482 + ], + [ + 50888032, + 61216458 + ], + [ + 99873555, + 79066367 + ], + [ + 17607390, + 99134730 + ], + [ + 5718059, + 34504738 + ], + [ + 77033446, + 3704998 + ], + [ + 850354, + 40633692 + ], + [ + 79267048, + 661074 + ], + [ + 24207568, + 8549460 + ], + [ + 50896847, + 77293611 + ], + [ + 64081865, + 73249618 + ], + [ + 31325882, + 30595951 + ], + [ + 78925917, + 37559192 + ], + [ + 99268995, + 84691045 + ], + [ + 80778721, + 22591600 + ], + [ + 14615253, + 44793892 + ], + [ + 5910745, + 1507822 + ], + [ + 90043968, + 76946033 + ], + [ + 8673848, + 68005677 + ], + [ + 9202378, + 52022461 + ], + [ + 54233825, + 47940998 + ], + [ + 44858778, + 70823604 + ], + [ + 988244, + 24737784 + ], + [ + 4807718, + 52322865 + ], + [ + 24817878, + 90542010 + ], + [ + 47138628, + 5044613 + ], + [ + 94922056, + 14175811 + ], + [ + 58714004, + 74935001 + ], + [ + 5941731, + 72182658 + ], + [ + 48470283, + 73310184 + ], + [ + 4790618, + 11552181 + ], + [ + 98279298, + 63491204 + ], + [ + 67585058, + 13116473 + ], + [ + 71888808, + 98458251 + ], + [ + 41868250, + 9404762 + ], + [ + 82306637, + 86377239 + ], + [ + 1096314, + 59735901 + ], + [ + 88231841, + 44370245 + ], + [ + 59391823, + 37449419 + ], + [ + 26707821, + 44116014 + ], + [ + 85162440, + 5702193 + ], + [ + 34120514, + 21038308 + ], + [ + 41278138, + 54431351 + ], + [ + 18571280, + 92246461 + ], + [ + 48135887, + 26716704 + ], + [ + 97957190, + 28100979 + ], + [ + 86539650, + 47309701 + ], + [ + 21288366, + 71426194 + ], + [ + 15444715, + 24773721 + ], + [ + 97665241, + 33776363 + ], + [ + 90507665, + 16194527 + ], + [ + 25837452, + 49565254 + ], + [ + 45740538, + 49748987 + ], + [ + 68580030, + 35122458 + ], + [ + 83129360, + 22894041 + ], + [ + 22952065, + 86246879 + ], + [ + 36470103, + 27064997 + ], + [ + 98731386, + 5839585 + ], + [ + 19229834, + 96182596 + ], + [ + 65418841, + 41982973 + ], + [ + 60294405, + 47547268 + ], + [ + 52443432, + 16483948 + ], + [ + 36797289, + 26333090 + ], + [ + 30616378, + 33778009 + ], + [ + 62279682, + 43157754 + ], + [ + 54208614, + 94263786 + ], + [ + 69034585, + 39134847 + ], + [ + 57349371, + 54789140 + ], + [ + 55484107, + 57571370 + ], + [ + 6161538, + 93696293 + ], + [ + 92830988, + 5705251 + ], + [ + 51523681, + 6291408 + ], + [ + 14362210, + 31410703 + ], + [ + 81403447, + 88892367 + ], + [ + 45365759, + 93904897 + ], + [ + 79695042, + 26279826 + ], + [ + 66564356, + 53784913 + ], + [ + 5606611, + 73902456 + ], + [ + 76161483, + 75238829 + ], + [ + 76335370, + 15588972 + ], + [ + 83492615, + 75723932 + ], + [ + 71264755, + 21316970 + ], + [ + 40880463, + 94746483 + ], + [ + 21830206, + 83627197 + ], + [ + 71937309, + 66282003 + ], + [ + 10258644, + 2647301 + ], + [ + 74803188, + 44521301 + ], + [ + 53316543, + 30658978 + ], + [ + 37830184, + 18804890 + ], + [ + 93207059, + 71243321 + ], + [ + 58247336, + 54440958 + ], + [ + 69966286, + 69067908 + ], + [ + 40341477, + 7997693 + ], + [ + 58610133, + 34335629 + ], + [ + 77753565, + 34958642 + ], + [ + 61754560, + 81006235 + ], + [ + 19628190, + 91084545 + ], + [ + 85236190, + 44643448 + ], + [ + 68190381, + 16600689 + ], + [ + 46719126, + 91453198 + ], + [ + 27980909, + 83030279 + ], + [ + 77990444, + 45329116 + ], + [ + 67753397, + 148683 + ], + [ + 52183175, + 18211683 + ], + [ + 67799401, + 44906357 + ], + [ + 97120001, + 7818827 + ], + [ + 66545970, + 24950152 + ], + [ + 1119183, + 38288502 + ], + [ + 24282195, + 97110315 + ], + [ + 26575886, + 80832833 + ], + [ + 2869463, + 42692429 + ], + [ + 40153012, + 34048899 + ], + [ + 33204173, + 49840709 + ], + [ + 53655589, + 25096743 + ], + [ + 26253938, + 79429388 + ], + [ + 94725685, + 61603046 + ], + [ + 92210366, + 58836114 + ], + [ + 44925888, + 48760093 + ], + [ + 18177568, + 14079535 + ], + [ + 38977394, + 17007146 + ], + [ + 69017419, + 31178466 + ], + [ + 21983385, + 18810720 + ], + [ + 57369246, + 63484774 + ], + [ + 82529682, + 16058515 + ], + [ + 86132186, + 9503780 + ], + [ + 97455554, + 20485244 + ], + [ + 24304470, + 78641470 + ], + [ + 72960957, + 7208290 + ], + [ + 65031990, + 4666673 + ], + [ + 98683174, + 7112715 + ], + [ + 11606219, + 44748975 + ], + [ + 70380439, + 99802627 + ], + [ + 89413630, + 62016854 + ], + [ + 20755577, + 8112652 + ], + [ + 80658089, + 41994891 + ], + [ + 72855425, + 60530441 + ], + [ + 63779324, + 9087505 + ], + [ + 81432086, + 26652394 + ], + [ + 62388777, + 15416078 + ], + [ + 82259882, + 79598068 + ], + [ + 2742617, + 70282315 + ], + [ + 51967761, + 78659227 + ], + [ + 90208881, + 69913496 + ], + [ + 40249500, + 25748340 + ], + [ + 44238038, + 41189025 + ], + [ + 8321588, + 12711323 + ], + [ + 98493436, + 48654050 + ], + [ + 95606732, + 75185625 + ], + [ + 22753716, + 57540808 + ], + [ + 87050839, + 2862983 + ], + [ + 11789497, + 17838645 + ], + [ + 88515489, + 51015495 + ], + [ + 67190204, + 80940536 + ], + [ + 34245708, + 79112751 + ], + [ + 21874408, + 45144692 + ], + [ + 49992224, + 92062811 + ], + [ + 68117225, + 16421751 + ], + [ + 13781190, + 22974034 + ], + [ + 50751625, + 45576567 + ], + [ + 46699426, + 50076663 + ], + [ + 71205262, + 5274710 + ], + [ + 43465332, + 69894884 + ], + [ + 91081875, + 72762944 + ], + [ + 5918853, + 1946385 + ], + [ + 24281715, + 43610190 + ], + [ + 85954206, + 4825661 + ], + [ + 80486471, + 47223435 + ], + [ + 30816905, + 6341345 + ], + [ + 28003493, + 91050390 + ], + [ + 40924036, + 77617317 + ], + [ + 51441739, + 88540498 + ], + [ + 51567595, + 55031409 + ], + [ + 61150024, + 97875660 + ], + [ + 38815985, + 92686948 + ], + [ + 27505847, + 75495789 + ], + [ + 72921768, + 76898772 + ], + [ + 99785252, + 59060182 + ], + [ + 21161596, + 78181330 + ], + [ + 3001979, + 98964396 + ], + [ + 33847451, + 39553131 + ], + [ + 55906159, + 49495930 + ], + [ + 22521042, + 49425521 + ], + [ + 6034480, + 12559745 + ], + [ + 14481453, + 6715460 + ], + [ + 87744689, + 15909275 + ], + [ + 51614217, + 69305425 + ], + [ + 38022571, + 53788293 + ], + [ + 30535337, + 9868159 + ], + [ + 37244894, + 9800465 + ], + [ + 81101251, + 67602437 + ], + [ + 71066183, + 8728574 + ], + [ + 58386817, + 82768155 + ], + [ + 10285601, + 51221669 + ], + [ + 37298333, + 91454086 + ], + [ + 21074989, + 41694740 + ], + [ + 51330159, + 71691279 + ], + [ + 85982220, + 64810151 + ], + [ + 3558153, + 2022176 + ], + [ + 78189393, + 5496333 + ], + [ + 14794890, + 12287121 + ], + [ + 94989096, + 49904246 + ], + [ + 18436155, + 36298666 + ], + [ + 65924404, + 64579559 + ], + [ + 57234864, + 75802281 + ], + [ + 7055685, + 52990308 + ], + [ + 70488779, + 58431151 + ], + [ + 28672141, + 80389456 + ], + [ + 20309074, + 94490088 + ], + [ + 75870455, + 13152178 + ], + [ + 24801688, + 10028669 + ], + [ + 82763004, + 48330148 + ], + [ + 36688795, + 53960156 + ], + [ + 10156874, + 43141604 + ], + [ + 88131346, + 14991335 + ], + [ + 40678755, + 88331297 + ], + [ + 68730519, + 78060076 + ], + [ + 62145084, + 22651631 + ], + [ + 9219481, + 98768795 + ], + [ + 73403670, + 63535051 + ], + [ + 2330916, + 2427830 + ], + [ + 86900174, + 88828625 + ], + [ + 9773255, + 4494331 + ], + [ + 89142396, + 69570069 + ], + [ + 62477813, + 96109057 + ], + [ + 94184831, + 61076868 + ], + [ + 51124299, + 1416754 + ], + [ + 24617430, + 982556 + ], + [ + 89530123, + 43933059 + ], + [ + 81296717, + 21661066 + ], + [ + 11857395, + 96604899 + ], + [ + 91813670, + 10934318 + ], + [ + 24278640, + 23956080 + ], + [ + 70942827, + 25697285 + ], + [ + 15415742, + 10656734 + ], + [ + 45278955, + 66951746 + ], + [ + 75372008, + 94656760 + ], + [ + 3729542, + 34609290 + ], + [ + 53059617, + 2585858 + ], + [ + 48206827, + 79899283 + ], + [ + 86494679, + 89888918 + ], + [ + 62449984, + 45710949 + ], + [ + 90168549, + 22597578 + ], + [ + 67997792, + 80219163 + ], + [ + 43964369, + 71510951 + ], + [ + 90858570, + 4370786 + ], + [ + 8058199, + 5911243 + ], + [ + 77915606, + 12815177 + ], + [ + 12473978, + 4873465 + ], + [ + 67758077, + 64454222 + ], + [ + 31317830, + 73463847 + ], + [ + 45467791, + 57168103 + ], + [ + 33727131, + 57085300 + ], + [ + 6844601, + 99627500 + ], + [ + 67069965, + 76341855 + ], + [ + 40300482, + 99669065 + ], + [ + 35729099, + 18927614 + ], + [ + 74937397, + 88177700 + ], + [ + 74515455, + 41167868 + ], + [ + 34594439, + 70970330 + ], + [ + 61026171, + 29313908 + ], + [ + 27880149, + 78141705 + ], + [ + 64743099, + 64700757 + ], + [ + 40483947, + 22951441 + ], + [ + 97199, + 41417874 + ], + [ + 76771438, + 17330599 + ], + [ + 38344142, + 76132424 + ], + [ + 78971995, + 10782003 + ], + [ + 88422129, + 40630391 + ], + [ + 72375545, + 54558062 + ], + [ + 57534828, + 89613030 + ], + [ + 17930510, + 67145310 + ], + [ + 85758501, + 85344173 + ], + [ + 12643642, + 40549851 + ], + [ + 77794533, + 40553074 + ], + [ + 43376953, + 50589688 + ], + [ + 94661422, + 37048999 + ], + [ + 75215573, + 61077962 + ], + [ + 59452358, + 47723123 + ], + [ + 22197775, + 22310695 + ], + [ + 97574739, + 81691799 + ], + [ + 65849366, + 61570518 + ], + [ + 73518132, + 84318250 + ], + [ + 87541386, + 70861979 + ], + [ + 26010106, + 16195933 + ], + [ + 63106998, + 27233232 + ], + [ + 92932111, + 30852027 + ], + [ + 67461625, + 84191732 + ], + [ + 19678420, + 71888897 + ], + [ + 84687436, + 51911375 + ], + [ + 95711783, + 43659790 + ], + [ + 6253933, + 846872 + ], + [ + 89237680, + 23894417 + ], + [ + 3830703, + 40933656 + ], + [ + 30302355, + 86111906 + ], + [ + 8237268, + 38217177 + ], + [ + 16026739, + 22632254 + ], + [ + 15846267, + 95999334 + ], + [ + 94764047, + 54194431 + ], + [ + 31728228, + 66050992 + ], + [ + 89852957, + 49335332 + ], + [ + 63710540, + 36462661 + ], + [ + 51923615, + 47938706 + ], + [ + 9905347, + 1510772 + ], + [ + 31592946, + 78150601 + ], + [ + 42939740, + 1121385 + ], + [ + 99758467, + 46784337 + ], + [ + 15179919, + 58979623 + ], + [ + 35551384, + 26726547 + ], + [ + 86195452, + 45720055 + ], + [ + 97856883, + 68370680 + ], + [ + 21402452, + 82516211 + ], + [ + 13844842, + 49059363 + ], + [ + 4097281, + 74800273 + ], + [ + 38151921, + 6165646 + ], + [ + 2863723, + 28285164 + ], + [ + 87195400, + 2946809 + ], + [ + 42715978, + 54674428 + ], + [ + 48055647, + 58918662 + ], + [ + 21454758, + 84382821 + ], + [ + 23408679, + 69720351 + ], + [ + 92462043, + 59240047 + ], + [ + 44791506, + 55401533 + ], + [ + 7206145, + 7356773 + ], + [ + 85245144, + 43251768 + ], + [ + 39135106, + 64163041 + ], + [ + 67143508, + 4759912 + ], + [ + 26324514, + 50043291 + ], + [ + 27406815, + 18560553 + ], + [ + 31160590, + 9479538 + ], + [ + 12657426, + 49952904 + ], + [ + 13527881, + 23798851 + ], + [ + 69173852, + 29414629 + ], + [ + 907407, + 86436402 + ], + [ + 50994079, + 91221387 + ], + [ + 79157909, + 63285060 + ], + [ + 20314320, + 56597522 + ], + [ + 57118186, + 36590397 + ], + [ + 70588645, + 9984059 + ], + [ + 81235754, + 11010015 + ], + [ + 41906328, + 66121819 + ], + [ + 81701208, + 24837417 + ], + [ + 18099129, + 41967043 + ], + [ + 93218312, + 58331561 + ], + [ + 25836423, + 20572354 + ], + [ + 71251298, + 80871733 + ], + [ + 67694584, + 59324196 + ], + [ + 86794354, + 51739702 + ], + [ + 26685011, + 41129689 + ], + [ + 1999628, + 74812724 + ], + [ + 19723621, + 87630752 + ], + [ + 34652078, + 30205275 + ], + [ + 61840435, + 83583413 + ], + [ + 89682856, + 2442079 + ], + [ + 19090006, + 84003112 + ], + [ + 57545388, + 45527498 + ], + [ + 76970291, + 73626218 + ], + [ + 8478814, + 42117631 + ], + [ + 56822288, + 86633574 + ], + [ + 33192038, + 39231641 + ], + [ + 35017250, + 82174389 + ], + [ + 93641043, + 63236136 + ], + [ + 28265378, + 27930428 + ], + [ + 90455282, + 61044231 + ], + [ + 77261127, + 50396907 + ], + [ + 57288800, + 5748805 + ], + [ + 25106987, + 48909218 + ], + [ + 92605749, + 31067286 + ], + [ + 98980429, + 97488919 + ], + [ + 98295643, + 89276667 + ], + [ + 24526615, + 48409760 + ], + [ + 85645090, + 54278699 + ], + [ + 72420904, + 41071142 + ], + [ + 17324985, + 9041255 + ], + [ + 55760577, + 95022026 + ], + [ + 20394041, + 87601988 + ], + [ + 44926759, + 72966390 + ], + [ + 37013505, + 7380639 + ], + [ + 54902089, + 39680762 + ], + [ + 67505039, + 9563678 + ], + [ + 14062455, + 95707976 + ], + [ + 65690795, + 26630483 + ], + [ + 3708172, + 95904833 + ], + [ + 88777288, + 30434239 + ], + [ + 18553905, + 296672 + ], + [ + 5344375, + 42658242 + ], + [ + 63560085, + 35180364 + ], + [ + 60890467, + 35937876 + ], + [ + 18720841, + 82334595 + ], + [ + 74757248, + 4194996 + ], + [ + 47820819, + 25603337 + ], + [ + 90490385, + 67160630 + ], + [ + 9651351, + 48270562 + ], + [ + 86179707, + 89230411 + ], + [ + 43093407, + 66770082 + ], + [ + 27599137, + 97691861 + ], + [ + 52720946, + 95403875 + ], + [ + 72068344, + 46106983 + ], + [ + 72621499, + 44287780 + ], + [ + 23256417, + 50069749 + ], + [ + 68555349, + 68439036 + ], + [ + 19658723, + 92144434 + ], + [ + 90545623, + 47203912 + ], + [ + 14917388, + 97326943 + ], + [ + 23680871, + 78404474 + ], + [ + 16211441, + 87834890 + ], + [ + 49158133, + 35654123 + ], + [ + 21120566, + 91441098 + ], + [ + 70814317, + 93001159 + ], + [ + 30566721, + 27731482 + ], + [ + 36119546, + 16399918 + ], + [ + 84088953, + 30748688 + ], + [ + 40980482, + 68363882 + ], + [ + 73394149, + 83869136 + ], + [ + 27589554, + 79105670 + ], + [ + 40344310, + 24997524 + ], + [ + 34648490, + 29406540 + ], + [ + 37460373, + 24350661 + ], + [ + 42525215, + 62502194 + ], + [ + 56931740, + 13967242 + ], + [ + 834089, + 46342979 + ], + [ + 53055206, + 11082939 + ], + [ + 38161170, + 90703532 + ], + [ + 4092058, + 37663190 + ], + [ + 99809729, + 69770941 + ], + [ + 60739345, + 56490070 + ], + [ + 15645413, + 68831404 + ], + [ + 39725196, + 94663408 + ], + [ + 14254463, + 22675678 + ], + [ + 42422453, + 22228845 + ], + [ + 23813691, + 50831799 + ], + [ + 49812551, + 52090810 + ], + [ + 4224023, + 64302833 + ], + [ + 19878490, + 8724061 + ], + [ + 15274388, + 33059724 + ], + [ + 21772981, + 29559587 + ], + [ + 19315390, + 57268381 + ], + [ + 23216936, + 31354336 + ], + [ + 25261473, + 89926284 + ], + [ + 46778186, + 73293636 + ], + [ + 79497311, + 29233905 + ], + [ + 66471480, + 76368077 + ], + [ + 83908046, + 68065931 + ], + [ + 28738611, + 85848220 + ], + [ + 30524724, + 69476953 + ], + [ + 6532148, + 64102715 + ], + [ + 1012348, + 71250503 + ], + [ + 46690470, + 11685410 + ], + [ + 75567175, + 38293929 + ], + [ + 85540279, + 97448213 + ], + [ + 9033063, + 96288088 + ], + [ + 2687575, + 2713783 + ], + [ + 22496375, + 6446346 + ], + [ + 7981238, + 18795614 + ], + [ + 13225065, + 68543760 + ], + [ + 47808601, + 76882903 + ], + [ + 60824103, + 8266484 + ], + [ + 6732091, + 53069920 + ], + [ + 12219860, + 27366522 + ], + [ + 87377065, + 55591521 + ], + [ + 34838875, + 59301047 + ], + [ + 37252359, + 89509839 + ], + [ + 27415820, + 75195285 + ], + [ + 66254950, + 20616007 + ], + [ + 78269616, + 54627841 + ], + [ + 36882178, + 18110562 + ], + [ + 5414973, + 90142543 + ], + [ + 39614788, + 45937499 + ], + [ + 74746165, + 22329374 + ], + [ + 20155984, + 20603738 + ], + [ + 80690131, + 42970564 + ], + [ + 7440118, + 60993138 + ], + [ + 90370387, + 51481289 + ], + [ + 79175843, + 8958780 + ], + [ + 43001483, + 55498529 + ], + [ + 10260723, + 54521158 + ], + [ + 20559632, + 32385955 + ], + [ + 10867666, + 41031255 + ], + [ + 85606354, + 99336767 + ], + [ + 95448456, + 90283816 + ], + [ + 84457873, + 10419562 + ], + [ + 97309045, + 19694181 + ], + [ + 68070570, + 36075860 + ], + [ + 89090092, + 41941597 + ], + [ + 78390521, + 32275948 + ], + [ + 73007762, + 69429680 + ], + [ + 65442170, + 76791955 + ], + [ + 37443548, + 44971143 + ], + [ + 46856219, + 69298129 + ], + [ + 57973613, + 73170161 + ], + [ + 60327261, + 63668176 + ], + [ + 50938149, + 28892862 + ], + [ + 51775347, + 95218783 + ], + [ + 28167896, + 83490440 + ], + [ + 49660352, + 43689362 + ], + [ + 66027351, + 51261666 + ], + [ + 69498707, + 75922879 + ], + [ + 45807447, + 79736477 + ], + [ + 86450644, + 96922168 + ], + [ + 51682281, + 10436217 + ], + [ + 77388347, + 7634577 + ], + [ + 29998281, + 49836248 + ], + [ + 25681875, + 15726738 + ], + [ + 77693860, + 6090787 + ], + [ + 38300792, + 74770862 + ], + [ + 14306314, + 60752689 + ], + [ + 78804476, + 4179030 + ], + [ + 13561824, + 44934403 + ], + [ + 96950360, + 16250567 + ], + [ + 51924508, + 2643716 + ], + [ + 20593114, + 53157354 + ], + [ + 4484867, + 22029525 + ], + [ + 83942119, + 69006449 + ], + [ + 86434189, + 51686750 + ], + [ + 53494811, + 39233484 + ], + [ + 44326665, + 16852910 + ], + [ + 1684537, + 31687398 + ], + [ + 19731147, + 62819109 + ], + [ + 5898934, + 11858876 + ], + [ + 97434326, + 66077111 + ], + [ + 49114925, + 29212879 + ], + [ + 60754811, + 8587938 + ], + [ + 20267461, + 37101168 + ], + [ + 49184311, + 18864487 + ], + [ + 14408544, + 21776258 + ], + [ + 55773749, + 67932663 + ], + [ + 40738095, + 72849387 + ], + [ + 57848657, + 7846180 + ], + [ + 37224112, + 85501802 + ], + [ + 16431511, + 50642841 + ], + [ + 3425875, + 13775206 + ], + [ + 49562331, + 10552233 + ], + [ + 78738724, + 41646443 + ], + [ + 36173065, + 70417549 + ], + [ + 53667931, + 86073950 + ], + [ + 86450073, + 17221136 + ], + [ + 45014869, + 89813676 + ], + [ + 724536, + 94381533 + ], + [ + 38454220, + 2095543 + ], + [ + 21875911, + 56738253 + ], + [ + 5812699, + 60488346 + ], + [ + 61518833, + 69958171 + ], + [ + 3087981, + 74207186 + ], + [ + 69357920, + 29892015 + ], + [ + 20123776, + 94336526 + ], + [ + 35701068, + 7350492 + ], + [ + 11609344, + 69829860 + ], + [ + 21941427, + 6859767 + ], + [ + 29911405, + 6944843 + ], + [ + 49914451, + 85710695 + ], + [ + 69707557, + 17974861 + ], + [ + 79875421, + 82321189 + ], + [ + 44630112, + 65668482 + ], + [ + 85658332, + 25786907 + ], + [ + 90987157, + 13880173 + ], + [ + 63017646, + 26815258 + ], + [ + 58906468, + 55416930 + ], + [ + 55935486, + 53260400 + ], + [ + 92514615, + 70499417 + ], + [ + 94731353, + 18241933 + ], + [ + 31503446, + 84901393 + ], + [ + 59881470, + 66579148 + ], + [ + 45427318, + 91467525 + ], + [ + 7569955, + 88566551 + ], + [ + 27650307, + 70860938 + ], + [ + 53681738, + 5982808 + ], + [ + 17752195, + 78919318 + ], + [ + 41884960, + 86017753 + ], + [ + 22678039, + 10827916 + ], + [ + 54514323, + 2125262 + ], + [ + 78413206, + 48436051 + ], + [ + 2188043, + 74671948 + ], + [ + 80347159, + 30229865 + ], + [ + 33624947, + 7884820 + ], + [ + 67018798, + 25290832 + ], + [ + 70522832, + 37883200 + ], + [ + 26979491, + 23129268 + ], + [ + 97323474, + 64266030 + ], + [ + 63438120, + 52525057 + ], + [ + 21904624, + 6987300 + ], + [ + 55471983, + 1148062 + ], + [ + 88863226, + 90841198 + ], + [ + 34946018, + 26290194 + ], + [ + 56990679, + 58483358 + ], + [ + 12048443, + 39608781 + ], + [ + 374950, + 86640562 + ], + [ + 8169341, + 99007888 + ], + [ + 87406128, + 61004581 + ], + [ + 30647206, + 84367754 + ], + [ + 2144833, + 507902 + ], + [ + 68001927, + 18467522 + ], + [ + 98583327, + 45712454 + ], + [ + 75026107, + 86003923 + ], + [ + 44418135, + 26493046 + ], + [ + 83703650, + 59094540 + ], + [ + 16728284, + 74997290 + ], + [ + 65927732, + 71157301 + ], + [ + 13943497, + 9006877 + ], + [ + 6639949, + 27836081 + ], + [ + 68156154, + 6264525 + ], + [ + 53151604, + 76971239 + ], + [ + 71636479, + 70046131 + ], + [ + 21028257, + 9524515 + ], + [ + 94174650, + 26625896 + ], + [ + 26173554, + 19948440 + ], + [ + 68904248, + 98430664 + ], + [ + 26018316, + 84374887 + ], + [ + 93431336, + 55224361 + ], + [ + 97596418, + 74426823 + ], + [ + 48356364, + 46486021 + ], + [ + 68207734, + 23529902 + ], + [ + 92235893, + 66493937 + ], + [ + 23672811, + 62597024 + ], + [ + 68634216, + 77567382 + ], + [ + 1468028, + 79194781 + ], + [ + 2992373, + 40138199 + ], + [ + 59663354, + 54615116 + ], + [ + 96668716, + 91657349 + ], + [ + 10454179, + 88684279 + ], + [ + 81131476, + 87803620 + ], + [ + 74107222, + 89892819 + ], + [ + 401345, + 83425123 + ], + [ + 26878499, + 11966128 + ], + [ + 85217229, + 29977906 + ], + [ + 33611574, + 85673583 + ], + [ + 68327299, + 23548479 + ], + [ + 36862631, + 49399148 + ], + [ + 54398925, + 87938539 + ], + [ + 54654382, + 89042779 + ], + [ + 46196496, + 43464477 + ], + [ + 46430849, + 81935008 + ], + [ + 25927923, + 12601061 + ], + [ + 4440721, + 61542327 + ], + [ + 88998690, + 64730725 + ], + [ + 33275966, + 21789709 + ], + [ + 3935986, + 83087895 + ], + [ + 46600935, + 33416609 + ], + [ + 83812630, + 21256825 + ], + [ + 53587536, + 48131467 + ], + [ + 18108332, + 58545615 + ], + [ + 14227633, + 24340445 + ], + [ + 87391402, + 41021596 + ], + [ + 92548080, + 45511912 + ], + [ + 2229006, + 90733819 + ], + [ + 92389480, + 56691181 + ], + [ + 67529881, + 76701609 + ], + [ + 32261826, + 78083433 + ], + [ + 26078760, + 21476315 + ], + [ + 58407475, + 78565835 + ], + [ + 78153505, + 50178402 + ], + [ + 4560037, + 69826236 + ], + [ + 25705847, + 64342201 + ], + [ + 41090694, + 56440321 + ], + [ + 74664828, + 68583574 + ], + [ + 71387381, + 14163001 + ], + [ + 68354254, + 31138627 + ], + [ + 72948308, + 66840775 + ], + [ + 11358991, + 69781101 + ], + [ + 55363046, + 87392303 + ], + [ + 75967229, + 58742129 + ], + [ + 92226693, + 54386982 + ], + [ + 57196722, + 81680584 + ], + [ + 90795503, + 56037506 + ], + [ + 9510752, + 96465948 + ], + [ + 23338358, + 93407860 + ], + [ + 87349487, + 46070731 + ], + [ + 31355818, + 96040352 + ], + [ + 913269, + 73471582 + ], + [ + 23043098, + 49020691 + ], + [ + 97182082, + 62769124 + ], + [ + 36947772, + 34372758 + ], + [ + 710652, + 28786832 + ], + [ + 32866949, + 59858260 + ], + [ + 19128641, + 75916286 + ], + [ + 39071103, + 42979087 + ], + [ + 2288961, + 58727512 + ], + [ + 75279395, + 92928865 + ], + [ + 5490592, + 80982696 + ], + [ + 75187476, + 73943805 + ], + [ + 56173008, + 52963280 + ], + [ + 28667120, + 22148477 + ], + [ + 22979149, + 64562529 + ], + [ + 79788473, + 2063073 + ], + [ + 36398508, + 22722358 + ], + [ + 65836898, + 34044435 + ], + [ + 57098078, + 39976015 + ], + [ + 12012051, + 31466560 + ], + [ + 85503857, + 62640681 + ], + [ + 1881888, + 92651106 + ], + [ + 50627404, + 26120518 + ], + [ + 48843251, + 68133658 + ], + [ + 26277171, + 63776273 + ], + [ + 16280856, + 41992408 + ], + [ + 79016153, + 76852393 + ], + [ + 27103191, + 44423861 + ], + [ + 18064817, + 94973966 + ], + [ + 10285184, + 73231060 + ], + [ + 63878805, + 45228875 + ], + [ + 70260895, + 50824016 + ], + [ + 78017762, + 35205733 + ], + [ + 52682782, + 55125404 + ], + [ + 7710934, + 79778067 + ], + [ + 57293835, + 1592313 + ], + [ + 48422410, + 45934180 + ], + [ + 77941041, + 99605590 + ], + [ + 97781396, + 76931739 + ], + [ + 72320152, + 72150238 + ], + [ + 22194128, + 3710884 + ], + [ + 33079121, + 47863172 + ], + [ + 48872387, + 33940871 + ], + [ + 17918241, + 92967906 + ], + [ + 97202580, + 66172309 + ], + [ + 32492227, + 77265277 + ], + [ + 32333717, + 41538404 + ], + [ + 39401669, + 8819897 + ], + [ + 45786745, + 69686246 + ], + [ + 66386293, + 60213934 + ], + [ + 9260514, + 80246645 + ], + [ + 16269968, + 25787290 + ], + [ + 41315797, + 39656126 + ], + [ + 53182305, + 66825316 + ], + [ + 39908970, + 52605469 + ], + [ + 58868155, + 48539396 + ], + [ + 1264544, + 15899873 + ], + [ + 44600746, + 14934938 + ], + [ + 61111434, + 10629866 + ], + [ + 81957439, + 92513215 + ], + [ + 34952495, + 29060451 + ], + [ + 75757910, + 32112830 + ], + [ + 61927917, + 22889320 + ], + [ + 63187631, + 72438945 + ], + [ + 81069930, + 50966078 + ], + [ + 65291205, + 44549338 + ], + [ + 36098018, + 28550567 + ], + [ + 12848298, + 8187609 + ], + [ + 73469753, + 7054210 + ], + [ + 62250327, + 73652723 + ], + [ + 65948888, + 48276082 + ], + [ + 59990562, + 34606308 + ], + [ + 95283741, + 8620197 + ], + [ + 49954052, + 5916633 + ], + [ + 48753870, + 37520128 + ], + [ + 39609708, + 7039694 + ], + [ + 49910986, + 91165290 + ], + [ + 24500094, + 27261144 + ], + [ + 85076949, + 47079816 + ], + [ + 52675327, + 63597245 + ], + [ + 63168405, + 87490335 + ], + [ + 20435092, + 76725480 + ], + [ + 63815355, + 44903913 + ], + [ + 83767060, + 84409267 + ], + [ + 64939584, + 11295576 + ], + [ + 44911984, + 87418818 + ], + [ + 65008014, + 69391416 + ], + [ + 78149009, + 89969612 + ], + [ + 47524061, + 72446977 + ], + [ + 57542332, + 51306206 + ], + [ + 26722434, + 70760498 + ], + [ + 98259014, + 627623 + ], + [ + 81648631, + 26456597 + ], + [ + 41523729, + 43487599 + ], + [ + 58321338, + 6853609 + ], + [ + 31758727, + 33010514 + ], + [ + 98155003, + 53380930 + ], + [ + 21938493, + 86898691 + ], + [ + 98280589, + 37019694 + ], + [ + 36631954, + 74832759 + ], + [ + 79841801, + 99903508 + ], + [ + 87366998, + 59227013 + ], + [ + 28406725, + 55759953 + ], + [ + 14628863, + 62383313 + ], + [ + 19797287, + 66579088 + ], + [ + 63798446, + 81843806 + ], + [ + 66093637, + 77150867 + ], + [ + 87153143, + 54427479 + ], + [ + 5386580, + 36563276 + ], + [ + 91813427, + 91370877 + ], + [ + 80582923, + 64281124 + ], + [ + 70868407, + 98253701 + ], + [ + 61776598, + 4858503 + ], + [ + 36679447, + 54249521 + ], + [ + 59149053, + 34127292 + ], + [ + 89354407, + 78978348 + ], + [ + 56562134, + 25633916 + ], + [ + 45537919, + 94521267 + ], + [ + 94906475, + 76325518 + ], + [ + 33554777, + 88589687 + ], + [ + 37703497, + 86149122 + ], + [ + 41616614, + 98960980 + ], + [ + 21334201, + 79797628 + ], + [ + 44367698, + 27595070 + ], + [ + 59708470, + 74120867 + ], + [ + 29154796, + 6600256 + ], + [ + 42402902, + 84295170 + ], + [ + 70354364, + 88659184 + ], + [ + 87224203, + 55199638 + ], + [ + 23538933, + 93438195 + ], + [ + 96317598, + 84629941 + ], + [ + 43055727, + 39199824 + ], + [ + 9014856, + 65153644 + ], + [ + 80608084, + 90853588 + ], + [ + 13832069, + 61357935 + ], + [ + 56198705, + 51542895 + ], + [ + 37898170, + 88527875 + ], + [ + 11715027, + 80433543 + ], + [ + 37033031, + 15272328 + ], + [ + 90708406, + 98921231 + ], + [ + 11378117, + 69418178 + ], + [ + 14015429, + 92024114 + ], + [ + 96002332, + 19901790 + ], + [ + 26483112, + 29814286 + ], + [ + 25383473, + 2911216 + ], + [ + 47889628, + 54833588 + ], + [ + 5721129, + 29864235 + ], + [ + 76188335, + 48066679 + ], + [ + 86490661, + 83411176 + ], + [ + 35027404, + 28690624 + ], + [ + 88208641, + 3119573 + ], + [ + 49523389, + 23541619 + ], + [ + 39062888, + 10352626 + ], + [ + 41973819, + 56898957 + ], + [ + 37256875, + 76963677 + ], + [ + 1595215, + 99523640 + ], + [ + 57092176, + 3233776 + ], + [ + 75784222, + 82811678 + ], + [ + 86856997, + 23822925 + ], + [ + 36612364, + 34896544 + ], + [ + 89576188, + 55794589 + ], + [ + 32259613, + 36437420 + ], + [ + 61342247, + 21131055 + ], + [ + 79074549, + 27055543 + ], + [ + 65446157, + 13760756 + ], + [ + 70222659, + 52473739 + ], + [ + 13989684, + 8679682 + ], + [ + 28044181, + 93141242 + ], + [ + 42098380, + 62852698 + ], + [ + 55631849, + 83933949 + ], + [ + 5874321, + 18714286 + ], + [ + 1284141, + 67371176 + ], + [ + 6295538, + 65700095 + ], + [ + 7262404, + 23041978 + ], + [ + 23440329, + 91294488 + ], + [ + 91597224, + 56340030 + ], + [ + 6777067, + 64982243 + ], + [ + 38553308, + 97640742 + ], + [ + 63017918, + 27640060 + ], + [ + 18604500, + 36973622 + ], + [ + 90323684, + 62715144 + ], + [ + 70150420, + 1800418 + ], + [ + 41222101, + 2477020 + ], + [ + 20468601, + 60923749 + ], + [ + 49026844, + 39790682 + ], + [ + 42617217, + 30201657 + ], + [ + 99967992, + 98624249 + ], + [ + 7596469, + 95547359 + ], + [ + 44696068, + 62899641 + ], + [ + 23179712, + 84976525 + ], + [ + 35767417, + 97991143 + ], + [ + 4790769, + 8585680 + ], + [ + 52509974, + 23932932 + ], + [ + 92797340, + 77544920 + ], + [ + 76403213, + 42061714 + ], + [ + 22533760, + 41667320 + ], + [ + 274677, + 55898246 + ], + [ + 82107900, + 43695506 + ], + [ + 92746259, + 41386580 + ], + [ + 67777846, + 68072119 + ], + [ + 3150127, + 33366946 + ], + [ + 90644942, + 22216616 + ], + [ + 69150806, + 18496141 + ], + [ + 41954825, + 31321147 + ], + [ + 84731752, + 46846091 + ], + [ + 45735301, + 68554210 + ], + [ + 20641914, + 51471787 + ], + [ + 11068066, + 48725523 + ], + [ + 64512983, + 8316377 + ], + [ + 79780863, + 71227179 + ], + [ + 58502380, + 14178791 + ], + [ + 81041570, + 87297627 + ], + [ + 46018749, + 54712429 + ], + [ + 76015671, + 7508331 + ], + [ + 46123268, + 96989129 + ], + [ + 79500249, + 56542861 + ], + [ + 17840372, + 65263770 + ], + [ + 48427872, + 26112773 + ], + [ + 74210718, + 70123200 + ], + [ + 90546515, + 72860305 + ], + [ + 86554106, + 69963274 + ], + [ + 59832035, + 67528374 + ], + [ + 14141433, + 85608426 + ], + [ + 21004303, + 38136864 + ], + [ + 20401390, + 10440619 + ], + [ + 61737957, + 74815590 + ], + [ + 64073495, + 79280896 + ], + [ + 95304548, + 85728972 + ], + [ + 88183912, + 52707021 + ], + [ + 20068019, + 72746695 + ], + [ + 64690440, + 60280111 + ], + [ + 35296292, + 67227087 + ], + [ + 56416458, + 67135942 + ], + [ + 10667458, + 49604960 + ], + [ + 24729031, + 47965801 + ], + [ + 76442730, + 83629332 + ], + [ + 69656605, + 58999491 + ], + [ + 12397380, + 71042897 + ], + [ + 84039326, + 71818461 + ], + [ + 60672225, + 58988286 + ], + [ + 68438723, + 41133474 + ], + [ + 12789110, + 22082797 + ], + [ + 33591415, + 29314527 + ], + [ + 49019384, + 73710214 + ], + [ + 22374020, + 48654306 + ], + [ + 99736998, + 89804561 + ], + [ + 17767210, + 5718272 + ], + [ + 16409442, + 79104181 + ], + [ + 56042445, + 1921158 + ], + [ + 51591684, + 84775713 + ], + [ + 60747941, + 92754173 + ], + [ + 16684335, + 7449955 + ], + [ + 61605064, + 62603129 + ], + [ + 65639303, + 99203799 + ], + [ + 32567695, + 9459022 + ], + [ + 24060841, + 48199210 + ], + [ + 94620602, + 80603040 + ], + [ + 87006730, + 70600326 + ], + [ + 34265171, + 76727570 + ], + [ + 29274492, + 12389266 + ], + [ + 36034776, + 77402962 + ], + [ + 36374605, + 15234724 + ], + [ + 58559246, + 10741696 + ], + [ + 6704825, + 39740902 + ], + [ + 4870976, + 98039244 + ], + [ + 84907171, + 4997763 + ], + [ + 48142125, + 97349168 + ], + [ + 42839994, + 94884981 + ], + [ + 15960578, + 79696798 + ], + [ + 29509812, + 8869887 + ], + [ + 19236567, + 81730420 + ], + [ + 42819287, + 99714179 + ], + [ + 42561665, + 98094919 + ], + [ + 53230299, + 46454307 + ], + [ + 61311078, + 70554786 + ], + [ + 30758449, + 10579963 + ], + [ + 29230502, + 75857316 + ], + [ + 88641374, + 28136625 + ], + [ + 41530556, + 68161416 + ], + [ + 46617172, + 53771157 + ], + [ + 90021945, + 41041168 + ], + [ + 76147732, + 40862508 + ], + [ + 73447559, + 55836710 + ], + [ + 66862220, + 52240798 + ], + [ + 35203895, + 6674250 + ], + [ + 22884638, + 15570937 + ], + [ + 24204585, + 87269174 + ], + [ + 77026595, + 88228365 + ], + [ + 60812177, + 65787668 + ], + [ + 84418821, + 12499809 + ], + [ + 48144358, + 45397989 + ], + [ + 66451983, + 75053972 + ], + [ + 50304814, + 94548654 + ], + [ + 71283988, + 78323858 + ], + [ + 60652330, + 46143078 + ], + [ + 96648008, + 81529249 + ], + [ + 90186819, + 49971128 + ], + [ + 67804323, + 10613160 + ], + [ + 5218777, + 5206773 + ], + [ + 19564190, + 99162881 + ], + [ + 7645612, + 46175176 + ], + [ + 55457833, + 82322458 + ], + [ + 41893454, + 71423513 + ], + [ + 31882679, + 92416775 + ], + [ + 45787457, + 24877855 + ], + [ + 64161083, + 64963879 + ], + [ + 6630229, + 54753037 + ], + [ + 88388151, + 48694679 + ], + [ + 13108062, + 59688390 + ], + [ + 7247395, + 81132392 + ], + [ + 57452313, + 60920450 + ], + [ + 68904919, + 36011558 + ], + [ + 19058715, + 60384207 + ], + [ + 72321653, + 80724395 + ], + [ + 37226766, + 97275571 + ], + [ + 48539583, + 30264902 + ], + [ + 28275524, + 46809224 + ], + [ + 81692699, + 78639173 + ], + [ + 18857036, + 18292735 + ], + [ + 67251828, + 86977063 + ], + [ + 39472072, + 54175604 + ], + [ + 59960851, + 79603968 + ], + [ + 36705153, + 7573944 + ], + [ + 49922841, + 11658494 + ], + [ + 66629498, + 94446262 + ], + [ + 33855333, + 13538590 + ], + [ + 44122856, + 14155604 + ], + [ + 63395394, + 47917125 + ], + [ + 34829610, + 38226905 + ], + [ + 66474099, + 13898831 + ], + [ + 27790781, + 4170876 + ], + [ + 42730364, + 5336671 + ], + [ + 58406944, + 20150266 + ], + [ + 16187444, + 5055785 + ], + [ + 91851523, + 88689168 + ], + [ + 47614903, + 69171155 + ], + [ + 92729114, + 28958785 + ], + [ + 13526473, + 98134587 + ], + [ + 27297693, + 2170613 + ], + [ + 13107548, + 82582775 + ], + [ + 42449732, + 36985643 + ], + [ + 79380387, + 83835332 + ], + [ + 14657007, + 71553478 + ], + [ + 40896091, + 96389362 + ], + [ + 62217383, + 93471354 + ], + [ + 63621815, + 68421736 + ], + [ + 78925813, + 21297679 + ], + [ + 88741032, + 42198385 + ], + [ + 46128684, + 64475854 + ], + [ + 47726235, + 40001817 + ], + [ + 18489698, + 48377730 + ], + [ + 68510639, + 21202381 + ], + [ + 4713388, + 70368285 + ], + [ + 56152374, + 53101998 + ], + [ + 17684914, + 14722548 + ], + [ + 76208191, + 658046 + ], + [ + 30384449, + 6789704 + ], + [ + 18541482, + 35616910 + ], + [ + 14311072, + 34080864 + ], + [ + 15137525, + 29303479 + ], + [ + 59666225, + 84237555 + ], + [ + 94752881, + 81927641 + ], + [ + 88680896, + 74966006 + ], + [ + 69365526, + 73739268 + ], + [ + 81602871, + 32849665 + ], + [ + 35280587, + 86510784 + ], + [ + 124552, + 28594916 + ], + [ + 78013482, + 92883716 + ], + [ + 45562590, + 65987120 + ], + [ + 71104392, + 23857301 + ], + [ + 6359028, + 59202597 + ], + [ + 69948583, + 67682209 + ], + [ + 1997154, + 97105450 + ], + [ + 72240025, + 86772705 + ], + [ + 46735579, + 72076475 + ], + [ + 96874292, + 81055754 + ], + [ + 21023790, + 61231302 + ], + [ + 17816522, + 98238080 + ], + [ + 35907620, + 38105945 + ], + [ + 67140322, + 39015834 + ], + [ + 24651636, + 47494868 + ], + [ + 99970771, + 57622503 + ], + [ + 26546598, + 29247058 + ], + [ + 21577755, + 98209479 + ], + [ + 53724957, + 98397932 + ], + [ + 78646732, + 24406621 + ], + [ + 22086732, + 24338168 + ], + [ + 15433192, + 58174800 + ], + [ + 66201426, + 63322416 + ], + [ + 34111439, + 76366078 + ], + [ + 95081353, + 79898459 + ], + [ + 18613510, + 78080185 + ], + [ + 92907217, + 80421413 + ], + [ + 19607462, + 19397576 + ], + [ + 87075065, + 73364081 + ], + [ + 11097507, + 96818092 + ], + [ + 37841616, + 6455894 + ], + [ + 5699326, + 29340714 + ], + [ + 25665, + 69372149 + ], + [ + 98661054, + 82673739 + ], + [ + 64698237, + 18486525 + ], + [ + 24961090, + 81025488 + ], + [ + 41075542, + 86217498 + ], + [ + 434302, + 24959788 + ], + [ + 58546814, + 93195607 + ], + [ + 67981822, + 97368088 + ], + [ + 11943488, + 77793221 + ], + [ + 52263400, + 87422298 + ], + [ + 6557415, + 31916348 + ], + [ + 9563160, + 32018825 + ], + [ + 50265604, + 8880827 + ], + [ + 42098517, + 59735238 + ], + [ + 65610090, + 85545616 + ], + [ + 65121789, + 24087797 + ], + [ + 12902440, + 9094468 + ], + [ + 83108516, + 11541252 + ], + [ + 31696257, + 63800437 + ], + [ + 21416851, + 98451867 + ], + [ + 2505031, + 21091309 + ], + [ + 48440359, + 81566087 + ], + [ + 12900853, + 50635627 + ], + [ + 46826212, + 93442969 + ], + [ + 64751723, + 8797603 + ], + [ + 51733624, + 8393075 + ], + [ + 6327976, + 41067628 + ], + [ + 96310770, + 53814589 + ], + [ + 45467089, + 31441213 + ], + [ + 89558049, + 92010112 + ], + [ + 75325071, + 68089037 + ], + [ + 16905365, + 63711427 + ], + [ + 93936652, + 30597921 + ], + [ + 32886635, + 7770527 + ], + [ + 19574536, + 36619266 + ], + [ + 91291320, + 89044315 + ], + [ + 16494551, + 75845220 + ], + [ + 81947484, + 17474624 + ], + [ + 99760707, + 89824044 + ], + [ + 72261610, + 64882367 + ], + [ + 29201270, + 77185022 + ], + [ + 88700689, + 4749913 + ], + [ + 46849144, + 91754993 + ], + [ + 3825107, + 99589531 + ], + [ + 78208871, + 13588662 + ], + [ + 20249384, + 41891246 + ], + [ + 40679645, + 88956381 + ], + [ + 51091982, + 22469471 + ], + [ + 73102230, + 15850339 + ], + [ + 21617172, + 16487221 + ], + [ + 43224863, + 14643057 + ], + [ + 39432434, + 56180441 + ], + [ + 37651111, + 20987956 + ], + [ + 7843417, + 38815588 + ], + [ + 9508332, + 54080776 + ], + [ + 10073831, + 12855443 + ], + [ + 60596682, + 72827163 + ], + [ + 52879180, + 74818935 + ], + [ + 39888299, + 47303120 + ], + [ + 1581092, + 63128227 + ], + [ + 73416021, + 43268324 + ], + [ + 68816925, + 60441952 + ], + [ + 99158129, + 41182997 + ], + [ + 23725265, + 3606900 + ], + [ + 61114202, + 95138765 + ], + [ + 85370044, + 17199192 + ], + [ + 12410746, + 57995943 + ], + [ + 61599804, + 18734948 + ], + [ + 64978663, + 57195839 + ], + [ + 61466648, + 88270575 + ], + [ + 53081766, + 76555082 + ], + [ + 68439056, + 52854915 + ], + [ + 41743047, + 73016569 + ], + [ + 47306292, + 35715081 + ], + [ + 13509134, + 75895914 + ], + [ + 32348759, + 71098262 + ], + [ + 92867849, + 63826094 + ], + [ + 98491851, + 2271684 + ], + [ + 81236532, + 20590867 + ], + [ + 53147867, + 66396255 + ], + [ + 71401677, + 40119906 + ], + [ + 43280618, + 86083385 + ], + [ + 82790154, + 93252353 + ], + [ + 53617665, + 98165934 + ], + [ + 84689625, + 16692345 + ], + [ + 70591358, + 58990385 + ], + [ + 43287623, + 96817161 + ], + [ + 98776873, + 64848305 + ], + [ + 71760138, + 45271529 + ], + [ + 4631019, + 29311985 + ], + [ + 62911835, + 58431483 + ], + [ + 21529877, + 65127751 + ], + [ + 53011938, + 69126380 + ], + [ + 35132658, + 41057887 + ], + [ + 51096522, + 72385190 + ], + [ + 89809304, + 26879674 + ], + [ + 47353996, + 10243489 + ], + [ + 80562516, + 44247294 + ], + [ + 6828985, + 20492743 + ], + [ + 87933049, + 24873783 + ], + [ + 72252690, + 84377013 + ], + [ + 27535297, + 43403605 + ], + [ + 47927341, + 13020720 + ], + [ + 81751565, + 63812319 + ], + [ + 70856007, + 90067266 + ], + [ + 84003383, + 27037656 + ], + [ + 88046295, + 42974952 + ], + [ + 54554530, + 5000300 + ], + [ + 39837542, + 63203293 + ], + [ + 96365997, + 8221054 + ], + [ + 17665716, + 39745766 + ], + [ + 35015426, + 23732688 + ], + [ + 48685006, + 14361463 + ], + [ + 77855692, + 80907390 + ], + [ + 33687763, + 14496264 + ], + [ + 35731260, + 71955880 + ], + [ + 47807502, + 95355305 + ], + [ + 49969042, + 84908202 + ], + [ + 96909798, + 22176991 + ], + [ + 49936509, + 66641386 + ], + [ + 76185821, + 91724453 + ], + [ + 15647670, + 30641487 + ], + [ + 17516290, + 88118010 + ], + [ + 29712214, + 86424929 + ], + [ + 80114575, + 808630 + ], + [ + 79005473, + 71010694 + ], + [ + 30385652, + 28795119 + ], + [ + 68019351, + 45459938 + ], + [ + 66787015, + 18162542 + ], + [ + 28591451, + 52138421 + ], + [ + 30237085, + 58577696 + ], + [ + 31262249, + 1776682 + ], + [ + 85006352, + 30198597 + ], + [ + 56542832, + 32406406 + ], + [ + 33393072, + 14899798 + ], + [ + 39300303, + 77688044 + ], + [ + 66035764, + 46670876 + ], + [ + 46200452, + 60585882 + ], + [ + 60139831, + 75306252 + ], + [ + 31224681, + 17087606 + ], + [ + 23411896, + 64116376 + ], + [ + 48887240, + 54137191 + ], + [ + 9889469, + 11179491 + ], + [ + 79002942, + 94704658 + ], + [ + 70400171, + 88000674 + ], + [ + 4120159, + 65716805 + ], + [ + 18889280, + 82944594 + ], + [ + 59771249, + 58866284 + ], + [ + 21255487, + 56411721 + ], + [ + 97021767, + 45329523 + ], + [ + 72931190, + 13476410 + ], + [ + 87211094, + 12578618 + ], + [ + 53511758, + 24894626 + ], + [ + 97841850, + 96866023 + ], + [ + 26424470, + 45640044 + ], + [ + 17707478, + 67318054 + ], + [ + 75263731, + 1161214 + ], + [ + 49101588, + 41015473 + ], + [ + 30040595, + 21420441 + ], + [ + 37732788, + 27812687 + ], + [ + 48150071, + 13032240 + ], + [ + 99920122, + 887996 + ], + [ + 53620848, + 81620872 + ], + [ + 42812254, + 62518719 + ], + [ + 9580694, + 43904298 + ], + [ + 12478455, + 26899534 + ], + [ + 32473272, + 61257999 + ], + [ + 57918594, + 47423910 + ], + [ + 83941552, + 26514382 + ], + [ + 57515433, + 56992438 + ], + [ + 79866500, + 96546866 + ], + [ + 99451387, + 8688198 + ], + [ + 18297725, + 58815244 + ], + [ + 2515996, + 61806013 + ], + [ + 23280712, + 67008222 + ], + [ + 25915969, + 52360100 + ], + [ + 48624742, + 41575700 + ], + [ + 42032320, + 97231380 + ], + [ + 76348324, + 59751793 + ], + [ + 8185845, + 99521383 + ], + [ + 22463774, + 68749860 + ], + [ + 45376561, + 84440116 + ], + [ + 84392886, + 60593752 + ], + [ + 60566739, + 65472059 + ], + [ + 4490872, + 46456959 + ], + [ + 91000460, + 12488563 + ], + [ + 19448158, + 47904157 + ], + [ + 99517623, + 19294158 + ], + [ + 25126504, + 92810352 + ], + [ + 70393309, + 89418141 + ], + [ + 92883812, + 9335372 + ], + [ + 89105197, + 12515482 + ], + [ + 19869040, + 15302527 + ], + [ + 52163069, + 38247063 + ], + [ + 45107218, + 32713177 + ], + [ + 64262073, + 28811723 + ], + [ + 98852797, + 98962871 + ], + [ + 71007130, + 66223833 + ], + [ + 23894529, + 45217786 + ], + [ + 10422689, + 68401942 + ], + [ + 51484096, + 93671163 + ], + [ + 59566654, + 93607481 + ], + [ + 11239798, + 62357188 + ], + [ + 34938661, + 6211412 + ], + [ + 35693489, + 51918682 + ], + [ + 18690672, + 66050871 + ], + [ + 21354843, + 57398941 + ], + [ + 22680337, + 25202659 + ], + [ + 60747707, + 90102993 + ], + [ + 79037470, + 15113904 + ], + [ + 79134975, + 13651810 + ], + [ + 15858054, + 84443473 + ], + [ + 82251197, + 52595210 + ], + [ + 40841605, + 74675894 + ], + [ + 22186123, + 43766903 + ], + [ + 7375880, + 36647296 + ], + [ + 18997866, + 25043114 + ], + [ + 83757301, + 95829344 + ], + [ + 54804141, + 50745162 + ], + [ + 9462949, + 60988282 + ], + [ + 42264314, + 8624847 + ], + [ + 38834669, + 76268736 + ], + [ + 87579634, + 16968881 + ], + [ + 80075345, + 93165151 + ], + [ + 54859368, + 95455292 + ], + [ + 84186331, + 42449495 + ], + [ + 9821855, + 8906780 + ], + [ + 19938844, + 32141217 + ], + [ + 13954662, + 52540224 + ], + [ + 36621785, + 21131459 + ], + [ + 15898768, + 16301369 + ], + [ + 76372497, + 74126847 + ], + [ + 97206813, + 27996048 + ], + [ + 57191682, + 68835591 + ], + [ + 797820, + 95554272 + ], + [ + 19877998, + 18011983 + ], + [ + 77458323, + 10877368 + ], + [ + 98277266, + 29049276 + ], + [ + 90852932, + 74818259 + ], + [ + 25919465, + 21081289 + ], + [ + 44486492, + 86487265 + ], + [ + 12790701, + 78249742 + ], + [ + 8939571, + 54272301 + ], + [ + 77557911, + 77546149 + ], + [ + 41621094, + 39089173 + ], + [ + 84266366, + 17601773 + ], + [ + 25778600, + 11312178 + ], + [ + 19774551, + 38362636 + ], + [ + 63943224, + 82559933 + ], + [ + 11508302, + 14882698 + ], + [ + 60711188, + 64935721 + ], + [ + 49665354, + 29681334 + ], + [ + 82583493, + 49801140 + ], + [ + 82502891, + 81616101 + ], + [ + 71557515, + 83799021 + ], + [ + 58700848, + 43119565 + ], + [ + 96739028, + 25011093 + ], + [ + 19589132, + 66227661 + ], + [ + 85435226, + 24692977 + ], + [ + 93838178, + 65123392 + ], + [ + 96711826, + 23613525 + ], + [ + 15581552, + 50843827 + ], + [ + 16653187, + 15735481 + ], + [ + 40999774, + 79930943 + ], + [ + 32506123, + 19295476 + ], + [ + 36702604, + 67724335 + ], + [ + 58091507, + 23780063 + ], + [ + 87891434, + 22340257 + ], + [ + 72667543, + 88817191 + ], + [ + 42668086, + 56043849 + ], + [ + 95378348, + 13937225 + ], + [ + 2094972, + 33121999 + ], + [ + 41054899, + 58695363 + ], + [ + 14379202, + 5236996 + ], + [ + 97395987, + 90013859 + ], + [ + 44545495, + 15145665 + ], + [ + 18983028, + 627592 + ], + [ + 39597571, + 87781588 + ], + [ + 43649771, + 21894358 + ], + [ + 49865250, + 49260113 + ], + [ + 66213623, + 7078221 + ], + [ + 89423043, + 99091705 + ], + [ + 79580060, + 89967962 + ], + [ + 38750510, + 93093706 + ], + [ + 94164511, + 37432171 + ], + [ + 50919641, + 58529636 + ], + [ + 62732019, + 78810300 + ], + [ + 94585505, + 90440575 + ], + [ + 40139780, + 84161613 + ], + [ + 93189075, + 55984873 + ], + [ + 53710739, + 65380664 + ], + [ + 57613007, + 9267894 + ], + [ + 58039852, + 34757318 + ], + [ + 11874051, + 31640348 + ], + [ + 58501901, + 2064830 + ], + [ + 97890235, + 77916957 + ], + [ + 77505954, + 99447403 + ], + [ + 58832082, + 65319425 + ], + [ + 85073314, + 11038523 + ], + [ + 60552226, + 93119245 + ], + [ + 14027072, + 83473824 + ], + [ + 66521469, + 2484192 + ], + [ + 24433678, + 53420620 + ], + [ + 82338736, + 26572368 + ], + [ + 20879300, + 86359260 + ], + [ + 44711687, + 15783714 + ], + [ + 51916525, + 31927218 + ], + [ + 90475469, + 73908611 + ], + [ + 96143441, + 44316245 + ], + [ + 79039204, + 7140428 + ], + [ + 80030216, + 89634112 + ], + [ + 64053572, + 71153873 + ], + [ + 7395154, + 69411655 + ], + [ + 25805797, + 8048602 + ], + [ + 13981360, + 72471248 + ], + [ + 23028041, + 68249156 + ], + [ + 18309037, + 72078632 + ], + [ + 22395033, + 66884387 + ], + [ + 84028583, + 92158755 + ], + [ + 28376563, + 56139584 + ], + [ + 87284577, + 25118675 + ], + [ + 14365911, + 54227713 + ], + [ + 77380838, + 5648145 + ], + [ + 75472290, + 12646158 + ], + [ + 14242640, + 61328045 + ], + [ + 70709557, + 4497586 + ], + [ + 84834837, + 1465225 + ], + [ + 10963926, + 95004819 + ], + [ + 82634514, + 85802498 + ], + [ + 22518170, + 41536524 + ], + [ + 29818921, + 90252604 + ], + [ + 28065362, + 68065076 + ], + [ + 34612574, + 62846807 + ], + [ + 93644072, + 37105206 + ], + [ + 92103679, + 28118739 + ], + [ + 60732146, + 78591087 + ], + [ + 73525839, + 29011924 + ], + [ + 55256923, + 90875668 + ], + [ + 3303620, + 4719849 + ], + [ + 16756391, + 65822649 + ], + [ + 73506179, + 85056418 + ], + [ + 88386619, + 45209964 + ], + [ + 70301921, + 18881117 + ], + [ + 3239348, + 56223896 + ], + [ + 28748133, + 82519200 + ], + [ + 77651395, + 39087260 + ], + [ + 4246369, + 8692353 + ], + [ + 81155215, + 9519497 + ], + [ + 75748642, + 27833584 + ], + [ + 96536517, + 40387144 + ], + [ + 70820471, + 8362563 + ], + [ + 1062070, + 86504792 + ], + [ + 81803547, + 55775136 + ], + [ + 41589470, + 62089465 + ], + [ + 5938970, + 68177278 + ], + [ + 30875484, + 94633182 + ], + [ + 75690554, + 38604262 + ], + [ + 57261358, + 40108306 + ], + [ + 82169270, + 99973912 + ], + [ + 21707923, + 31466661 + ], + [ + 89352345, + 18732147 + ], + [ + 6014053, + 80654946 + ], + [ + 81473940, + 24538117 + ], + [ + 88832694, + 1030873 + ], + [ + 27987851, + 51197956 + ], + [ + 42428546, + 95227252 + ], + [ + 26138035, + 19971608 + ], + [ + 18046825, + 64133434 + ], + [ + 47609032, + 33799942 + ], + [ + 62593671, + 93407317 + ], + [ + 79438720, + 93187091 + ], + [ + 48882266, + 85497027 + ], + [ + 90660684, + 37894381 + ], + [ + 23292517, + 24128284 + ], + [ + 4463210, + 51400099 + ], + [ + 33116000, + 26360631 + ], + [ + 33205167, + 20721439 + ], + [ + 19219307, + 42677974 + ], + [ + 86041621, + 19294390 + ], + [ + 84225535, + 20824864 + ], + [ + 19479915, + 93593230 + ], + [ + 99729339, + 91133297 + ], + [ + 51043101, + 62648843 + ], + [ + 23825880, + 5857074 + ], + [ + 48556068, + 26860415 + ], + [ + 19937619, + 24689462 + ], + [ + 31194560, + 47884476 + ], + [ + 86844015, + 66027952 + ], + [ + 25779658, + 19233671 + ], + [ + 64234497, + 2793796 + ], + [ + 99941021, + 44886832 + ], + [ + 24812397, + 65169214 + ], + [ + 18982550, + 84191838 + ], + [ + 43095346, + 37790636 + ], + [ + 63640856, + 87033824 + ], + [ + 6385322, + 33944184 + ], + [ + 12716933, + 22953496 + ], + [ + 43264324, + 1891619 + ], + [ + 96886273, + 39581893 + ], + [ + 46203895, + 74406894 + ], + [ + 56703042, + 63637749 + ], + [ + 39804200, + 43514487 + ], + [ + 99394108, + 74458428 + ], + [ + 72478839, + 39068036 + ], + [ + 45319019, + 70946318 + ], + [ + 18660842, + 84139870 + ], + [ + 76022691, + 98107039 + ], + [ + 98396191, + 6033844 + ], + [ + 46607361, + 60476810 + ], + [ + 82404135, + 16420299 + ], + [ + 10487335, + 93519419 + ], + [ + 63770571, + 77825163 + ], + [ + 93287910, + 58812132 + ], + [ + 27107261, + 61816238 + ], + [ + 77521763, + 14023811 + ], + [ + 53132869, + 85769166 + ], + [ + 5077389, + 89708112 + ], + [ + 21580967, + 91115334 + ], + [ + 22852096, + 18080604 + ], + [ + 36455853, + 52797801 + ], + [ + 81055650, + 17046589 + ], + [ + 72246002, + 67992848 + ], + [ + 84574601, + 25157573 + ], + [ + 88362205, + 38460905 + ], + [ + 59832554, + 74207570 + ], + [ + 7662505, + 84540421 + ], + [ + 71551816, + 64088190 + ], + [ + 40445269, + 66702116 + ], + [ + 54136609, + 21006174 + ], + [ + 10817593, + 24030013 + ], + [ + 4567176, + 51722010 + ], + [ + 60254485, + 46003500 + ], + [ + 348197, + 57885590 + ], + [ + 8369156, + 2690377 + ], + [ + 90049055, + 72051901 + ], + [ + 50527536, + 56742879 + ], + [ + 63871975, + 41109615 + ], + [ + 8127342, + 45148300 + ], + [ + 74516026, + 78759306 + ], + [ + 36713321, + 44798389 + ], + [ + 56915336, + 91377639 + ], + [ + 57940368, + 17419206 + ], + [ + 41029044, + 15617049 + ], + [ + 37389249, + 90997450 + ], + [ + 86558574, + 71763296 + ], + [ + 64499567, + 4861131 + ], + [ + 36012644, + 57039901 + ], + [ + 66219263, + 69671071 + ], + [ + 74935713, + 62804217 + ], + [ + 88060489, + 23174071 + ], + [ + 97768525, + 14491903 + ], + [ + 53382513, + 46515082 + ], + [ + 73169563, + 52013700 + ], + [ + 87417089, + 30282698 + ], + [ + 98783211, + 30663325 + ], + [ + 27625158, + 79895313 + ], + [ + 13267420, + 92779946 + ], + [ + 43644021, + 87056719 + ], + [ + 34211734, + 16649958 + ], + [ + 36285904, + 37575998 + ], + [ + 47936742, + 33463084 + ], + [ + 95732341, + 66679050 + ], + [ + 21182911, + 43432889 + ], + [ + 8873425, + 89266528 + ], + [ + 17604013, + 20438915 + ], + [ + 61175943, + 19692705 + ], + [ + 6212068, + 69008150 + ], + [ + 6179604, + 84699750 + ], + [ + 51778764, + 25539090 + ], + [ + 92553736, + 15731758 + ], + [ + 8266810, + 83862448 + ], + [ + 89872504, + 78979827 + ], + [ + 8098452, + 58423471 + ], + [ + 46080204, + 17801262 + ], + [ + 48662708, + 98567835 + ], + [ + 80832070, + 17177264 + ], + [ + 65233883, + 61001344 + ], + [ + 84656002, + 86429881 + ], + [ + 36172281, + 90683401 + ], + [ + 29444688, + 50223611 + ], + [ + 98922909, + 34304510 + ], + [ + 57475465, + 54586799 + ], + [ + 8271697, + 31364401 + ], + [ + 95816435, + 64055092 + ], + [ + 8678726, + 2148686 + ], + [ + 2423819, + 82972321 + ], + [ + 58630177, + 1564591 + ], + [ + 14980456, + 73819830 + ], + [ + 2481407, + 7762533 + ], + [ + 36032294, + 19218577 + ], + [ + 76428241, + 4043146 + ], + [ + 80560888, + 35067082 + ], + [ + 13849644, + 61263756 + ], + [ + 23565644, + 41950637 + ], + [ + 76044912, + 87381740 + ], + [ + 72284080, + 75838619 + ], + [ + 99107791, + 7260871 + ], + [ + 99746154, + 49902765 + ], + [ + 89128811, + 52210110 + ], + [ + 41689413, + 16151787 + ], + [ + 77287923, + 88948859 + ], + [ + 65500376, + 59614144 + ], + [ + 21930865, + 97351619 + ], + [ + 77523614, + 66026849 + ], + [ + 93689513, + 21699374 + ], + [ + 50373248, + 56690208 + ], + [ + 53386189, + 87628833 + ], + [ + 37597755, + 91926336 + ], + [ + 34367543, + 56739291 + ], + [ + 88868314, + 66951222 + ], + [ + 70702346, + 87190297 + ], + [ + 962035, + 45428736 + ], + [ + 93754991, + 13014535 + ], + [ + 24246123, + 29729013 + ], + [ + 4265377, + 77905949 + ], + [ + 61385602, + 84665263 + ], + [ + 59156304, + 21752779 + ], + [ + 62870116, + 35939694 + ], + [ + 21124754, + 15336158 + ], + [ + 82182827, + 74316871 + ], + [ + 45353107, + 16098253 + ], + [ + 71412025, + 46874220 + ], + [ + 18906761, + 52162496 + ], + [ + 33391349, + 85429760 + ], + [ + 77152336, + 95682662 + ], + [ + 22600368, + 6288990 + ], + [ + 81982613, + 76117372 + ], + [ + 85473532, + 33241575 + ], + [ + 65437520, + 32865191 + ], + [ + 93977103, + 50047212 + ], + [ + 3686449, + 4913894 + ], + [ + 75745877, + 46660854 + ], + [ + 52569117, + 169472 + ], + [ + 79329636, + 23652585 + ], + [ + 24044137, + 64043120 + ], + [ + 83116308, + 17388356 + ], + [ + 52767019, + 34051188 + ], + [ + 92410889, + 26928327 + ], + [ + 50996234, + 35760468 + ], + [ + 20093658, + 47501282 + ], + [ + 33163619, + 28076749 + ], + [ + 78360497, + 91286993 + ], + [ + 2586196, + 15634659 + ], + [ + 94344586, + 32397028 + ], + [ + 5380012, + 59820710 + ], + [ + 31913705, + 69497046 + ], + [ + 68990014, + 72112074 + ], + [ + 88624964, + 70425581 + ], + [ + 1444481, + 68134113 + ], + [ + 35393244, + 29965307 + ], + [ + 50082200, + 23908432 + ], + [ + 10780431, + 84531814 + ], + [ + 18803974, + 29454261 + ], + [ + 1016425, + 7101750 + ], + [ + 34273259, + 81336247 + ], + [ + 48403479, + 71033119 + ], + [ + 14016679, + 45498373 + ], + [ + 96159222, + 15787165 + ], + [ + 76099888, + 5780400 + ], + [ + 46382211, + 39854399 + ], + [ + 83946552, + 61310023 + ], + [ + 87593671, + 2890543 + ], + [ + 64700348, + 65945811 + ], + [ + 78762344, + 98248066 + ], + [ + 44050273, + 57406468 + ], + [ + 41383902, + 52168914 + ], + [ + 74883986, + 34719279 + ], + [ + 95796633, + 34254185 + ], + [ + 41664503, + 83067219 + ], + [ + 91427906, + 64178219 + ], + [ + 22060132, + 24630179 + ], + [ + 41616444, + 66095771 + ], + [ + 67766002, + 85893161 + ], + [ + 10890761, + 87376771 + ], + [ + 41736991, + 80437925 + ], + [ + 6176950, + 90827312 + ], + [ + 45108650, + 7055937 + ], + [ + 17591814, + 73897234 + ], + [ + 83314184, + 20751584 + ], + [ + 26235295, + 31322060 + ], + [ + 39470489, + 84769141 + ], + [ + 97089342, + 86133197 + ], + [ + 54478986, + 60671999 + ], + [ + 38249833, + 28227583 + ], + [ + 45822044, + 40624883 + ], + [ + 55319287, + 38854578 + ], + [ + 39088408, + 46532672 + ], + [ + 74507962, + 49549033 + ], + [ + 56404522, + 53085383 + ], + [ + 26708632, + 3718827 + ], + [ + 89623895, + 24411898 + ], + [ + 41703825, + 65787292 + ], + [ + 70851421, + 67455388 + ], + [ + 7412474, + 57873320 + ], + [ + 64569623, + 13996084 + ], + [ + 69422128, + 70362451 + ], + [ + 86987874, + 55086514 + ], + [ + 56037088, + 79660541 + ], + [ + 27773711, + 19198918 + ], + [ + 7586883, + 27559543 + ], + [ + 15061330, + 53126018 + ], + [ + 14913410, + 23946446 + ], + [ + 36833184, + 5536337 + ], + [ + 57822993, + 93344050 + ], + [ + 86760836, + 64393125 + ], + [ + 70075591, + 40334941 + ], + [ + 62924859, + 48957359 + ], + [ + 97114474, + 76627219 + ], + [ + 18651414, + 20804507 + ], + [ + 21679764, + 47483230 + ], + [ + 11776785, + 58784072 + ], + [ + 85866629, + 1137311 + ], + [ + 7709269, + 49037423 + ], + [ + 32120578, + 96673052 + ], + [ + 82124616, + 81065223 + ], + [ + 1418886, + 46119738 + ], + [ + 78510222, + 27599084 + ], + [ + 70596987, + 83568319 + ], + [ + 58188443, + 24429750 + ], + [ + 36136463, + 45045256 + ], + [ + 72783127, + 20803081 + ], + [ + 21696699, + 30222786 + ], + [ + 40046327, + 13448694 + ], + [ + 87407381, + 109561 + ], + [ + 73115174, + 47278410 + ], + [ + 90361521, + 7846353 + ], + [ + 91996042, + 87525626 + ], + [ + 13410919, + 15604607 + ], + [ + 65128890, + 93903586 + ], + [ + 58486521, + 248253 + ], + [ + 17391068, + 3721263 + ], + [ + 78948187, + 91017666 + ], + [ + 43212349, + 85572057 + ], + [ + 56023156, + 35851041 + ], + [ + 1320824, + 51746854 + ], + [ + 97417624, + 16539827 + ], + [ + 76622563, + 67281719 + ], + [ + 82330021, + 31765227 + ], + [ + 69545104, + 59798227 + ], + [ + 39402039, + 41264252 + ], + [ + 26951879, + 29385502 + ], + [ + 64158834, + 61196734 + ], + [ + 9271074, + 45906857 + ], + [ + 97519099, + 61885972 + ], + [ + 93470150, + 68440452 + ], + [ + 55579050, + 55757495 + ], + [ + 72755292, + 97475637 + ], + [ + 81650857, + 60227881 + ], + [ + 6665407, + 61586605 + ], + [ + 25206084, + 21943262 + ], + [ + 98024485, + 8505623 + ], + [ + 42649754, + 56533778 + ], + [ + 89186172, + 10039298 + ], + [ + 1745042, + 12741705 + ], + [ + 19642881, + 47306768 + ], + [ + 84020941, + 92077977 + ], + [ + 16020891, + 89391276 + ], + [ + 9657478, + 76684971 + ], + [ + 9900144, + 19514017 + ], + [ + 62686399, + 10831030 + ], + [ + 73600574, + 94629520 + ], + [ + 72409758, + 4079550 + ], + [ + 23580304, + 82347506 + ], + [ + 53007936, + 51446216 + ], + [ + 17412506, + 2085799 + ], + [ + 79895904, + 13472917 + ], + [ + 25007122, + 56180489 + ], + [ + 23560912, + 13428679 + ], + [ + 67724529, + 53564424 + ], + [ + 10526934, + 12719006 + ], + [ + 67250360, + 15539509 + ], + [ + 39382125, + 32207829 + ], + [ + 72621811, + 88762511 + ], + [ + 50332512, + 4276637 + ], + [ + 2678170, + 90262702 + ], + [ + 68560579, + 26086943 + ], + [ + 37324553, + 51729929 + ], + [ + 54690935, + 25076401 + ], + [ + 14936878, + 6186193 + ], + [ + 62316371, + 36689625 + ], + [ + 33923319, + 1709278 + ], + [ + 84088636, + 23179642 + ], + [ + 68280483, + 26912539 + ], + [ + 81006996, + 10156055 + ], + [ + 17727504, + 80680265 + ], + [ + 35102926, + 14523718 + ], + [ + 23160012, + 84110663 + ], + [ + 17678355, + 20354665 + ], + [ + 42064976, + 69462094 + ], + [ + 84324447, + 28706471 + ], + [ + 39423547, + 47975105 + ], + [ + 61489343, + 52355371 + ], + [ + 74945365, + 40412026 + ], + [ + 47536703, + 32228657 + ], + [ + 63538836, + 56901346 + ], + [ + 76614096, + 35219000 + ], + [ + 14103009, + 46633590 + ], + [ + 88820108, + 91231930 + ], + [ + 82117371, + 74880399 + ], + [ + 65591706, + 81096670 + ], + [ + 62343542, + 48006426 + ], + [ + 69339626, + 36118621 + ], + [ + 57618947, + 25206707 + ], + [ + 4962633, + 40410326 + ], + [ + 14672426, + 53559593 + ], + [ + 54153730, + 55679442 + ], + [ + 24993209, + 85976332 + ], + [ + 83411572, + 54834205 + ], + [ + 2357381, + 20304255 + ], + [ + 99867174, + 34834665 + ], + [ + 23763385, + 57863374 + ], + [ + 29060808, + 39390384 + ], + [ + 26848266, + 14950343 + ], + [ + 84588701, + 70586690 + ], + [ + 330412, + 28859117 + ], + [ + 21248309, + 48392864 + ], + [ + 4807875, + 15104134 + ], + [ + 54522521, + 20625890 + ], + [ + 37805205, + 7776957 + ], + [ + 76403437, + 79758880 + ], + [ + 92342627, + 26243828 + ], + [ + 62488717, + 44695507 + ], + [ + 35540259, + 1690841 + ], + [ + 2551508, + 95627762 + ], + [ + 36563265, + 76194401 + ], + [ + 36364174, + 71038245 + ], + [ + 48358561, + 94300161 + ], + [ + 5082028, + 19930513 + ], + [ + 56608383, + 12961721 + ], + [ + 14644424, + 71100037 + ], + [ + 25615679, + 10408351 + ], + [ + 67787703, + 95808109 + ], + [ + 12602094, + 25416986 + ], + [ + 87235813, + 57754986 + ], + [ + 47060791, + 34574456 + ], + [ + 97207431, + 41376064 + ], + [ + 38763548, + 46342409 + ], + [ + 7422121, + 46030803 + ], + [ + 23337032, + 89306553 + ], + [ + 88481936, + 41861056 + ], + [ + 13560972, + 67922110 + ], + [ + 33259332, + 45480765 + ], + [ + 42179658, + 65785205 + ], + [ + 23073352, + 9000032 + ], + [ + 23584668, + 62308430 + ], + [ + 40130455, + 67656741 + ], + [ + 27002378, + 60833014 + ], + [ + 36016086, + 72050712 + ], + [ + 85154347, + 9624242 + ], + [ + 27753952, + 71971674 + ], + [ + 11924457, + 47353043 + ], + [ + 38582780, + 74224488 + ], + [ + 8750955, + 67155967 + ], + [ + 32611174, + 19212724 + ], + [ + 57518769, + 14507073 + ], + [ + 78564062, + 84607674 + ], + [ + 37856340, + 89917727 + ], + [ + 80396012, + 95599845 + ], + [ + 45097089, + 26124763 + ], + [ + 66081589, + 72929025 + ], + [ + 53584838, + 37461251 + ], + [ + 78221690, + 18066415 + ], + [ + 90000200, + 9430336 + ], + [ + 37457370, + 64326879 + ], + [ + 61138648, + 26473434 + ], + [ + 14997200, + 82646896 + ], + [ + 12919898, + 67915160 + ], + [ + 56401332, + 63527321 + ], + [ + 76499416, + 18746317 + ], + [ + 90365630, + 62312787 + ], + [ + 67606214, + 49899018 + ], + [ + 63213096, + 20422687 + ], + [ + 32029937, + 29995895 + ], + [ + 46761293, + 47162494 + ], + [ + 78731907, + 70927770 + ], + [ + 23891467, + 57848681 + ], + [ + 63459871, + 47048166 + ], + [ + 92331713, + 24612142 + ], + [ + 78573706, + 93684997 + ], + [ + 20324376, + 14835930 + ], + [ + 90208875, + 54487567 + ], + [ + 6365403, + 71366640 + ], + [ + 91675933, + 49900289 + ], + [ + 50036782, + 2772396 + ], + [ + 59951, + 82909548 + ], + [ + 73538938, + 50786829 + ], + [ + 65735669, + 23307760 + ], + [ + 10953497, + 81228975 + ], + [ + 97794720, + 20862644 + ], + [ + 53555324, + 74809531 + ], + [ + 88897082, + 17787401 + ], + [ + 68313978, + 5830103 + ], + [ + 3233068, + 94125566 + ], + [ + 93846585, + 82671824 + ], + [ + 54956793, + 36086745 + ], + [ + 61865713, + 55550674 + ], + [ + 58762079, + 97922537 + ], + [ + 88096274, + 55447590 + ], + [ + 59175667, + 49605038 + ], + [ + 42094267, + 48096215 + ], + [ + 39349192, + 45436534 + ], + [ + 46968790, + 50476384 + ], + [ + 62459579, + 42223282 + ], + [ + 91606187, + 81671478 + ], + [ + 93657318, + 22129448 + ], + [ + 29314284, + 86962652 + ], + [ + 40964105, + 11025604 + ], + [ + 1868746, + 33273730 + ], + [ + 32534201, + 10292002 + ], + [ + 8104214, + 84534028 + ], + [ + 53043127, + 18875089 + ], + [ + 67110730, + 72361225 + ], + [ + 29157116, + 7079212 + ], + [ + 25892268, + 54022917 + ], + [ + 41108982, + 14185411 + ], + [ + 18329179, + 23027692 + ], + [ + 16307955, + 40227187 + ], + [ + 89942883, + 37215410 + ], + [ + 10828808, + 41840635 + ], + [ + 19435750, + 53034065 + ], + [ + 52422419, + 2081566 + ], + [ + 9626278, + 96216601 + ], + [ + 48182026, + 59063380 + ], + [ + 82569622, + 64451706 + ], + [ + 61481853, + 22826913 + ], + [ + 75446218, + 16894504 + ], + [ + 87360326, + 89252635 + ], + [ + 4067283, + 71602693 + ], + [ + 17736549, + 57512239 + ], + [ + 86906435, + 23488311 + ], + [ + 50463872, + 41039309 + ], + [ + 18316922, + 36404896 + ], + [ + 96243851, + 71803427 + ], + [ + 34872804, + 63600572 + ], + [ + 51478853, + 27657365 + ], + [ + 23644129, + 95722744 + ], + [ + 51410728, + 17796074 + ], + [ + 66962192, + 46478803 + ], + [ + 14733162, + 91116118 + ], + [ + 18829816, + 97492296 + ], + [ + 22563496, + 83399050 + ], + [ + 17294440, + 26027315 + ], + [ + 62863656, + 85329547 + ], + [ + 88037640, + 4544524 + ], + [ + 80335977, + 40267517 + ], + [ + 84380111, + 70281923 + ], + [ + 11356013, + 42159286 + ], + [ + 41265718, + 86807495 + ], + [ + 94619191, + 81684485 + ], + [ + 98710547, + 36666992 + ], + [ + 24869597, + 79363621 + ], + [ + 18618827, + 73441826 + ], + [ + 57923848, + 24509700 + ], + [ + 69939523, + 41356152 + ], + [ + 78685259, + 68637570 + ], + [ + 94669932, + 87035238 + ], + [ + 85249913, + 5383199 + ], + [ + 56071424, + 99546398 + ], + [ + 76848507, + 83397576 + ], + [ + 22208939, + 11979492 + ], + [ + 3483558, + 8986981 + ], + [ + 4997327, + 11952532 + ], + [ + 62975441, + 99658723 + ], + [ + 70833103, + 766744 + ], + [ + 68315048, + 36194373 + ], + [ + 34212510, + 7889995 + ], + [ + 62293582, + 24321839 + ], + [ + 11508327, + 64685358 + ], + [ + 90300369, + 15641036 + ], + [ + 6653904, + 429259 + ], + [ + 56475509, + 78670793 + ], + [ + 88223899, + 39044389 + ], + [ + 29424979, + 66540106 + ], + [ + 70417556, + 20706576 + ], + [ + 5271233, + 71519675 + ], + [ + 70353358, + 83119223 + ], + [ + 71115869, + 34650100 + ], + [ + 34888546, + 2471827 + ], + [ + 5821229, + 57451364 + ], + [ + 97973786, + 82213441 + ], + [ + 88887061, + 6714534 + ], + [ + 63838417, + 2259160 + ], + [ + 50513765, + 19824730 + ], + [ + 50237078, + 38640038 + ], + [ + 98418646, + 47997811 + ], + [ + 36743935, + 16252234 + ], + [ + 6749523, + 44032611 + ], + [ + 59040823, + 15604863 + ], + [ + 76407765, + 61312977 + ], + [ + 22153660, + 11535210 + ], + [ + 80387163, + 315199 + ], + [ + 8268365, + 61647330 + ], + [ + 5869829, + 45171636 + ], + [ + 63631215, + 57835260 + ], + [ + 79666486, + 39593960 + ], + [ + 8441103, + 53556978 + ], + [ + 91809047, + 33483027 + ], + [ + 58199331, + 38830268 + ], + [ + 26135156, + 70941048 + ], + [ + 23075380, + 10213633 + ], + [ + 50713986, + 67803832 + ], + [ + 29122655, + 44392730 + ], + [ + 73892140, + 24715990 + ], + [ + 53726689, + 75484110 + ], + [ + 1543902, + 34561373 + ], + [ + 75222763, + 5620311 + ], + [ + 51917254, + 17679273 + ], + [ + 73158961, + 21000598 + ], + [ + 13400891, + 82708600 + ], + [ + 13700717, + 30957512 + ], + [ + 47980699, + 24167091 + ], + [ + 20925595, + 88260988 + ], + [ + 82522212, + 21613117 + ], + [ + 19861425, + 29237510 + ], + [ + 28245598, + 90849832 + ], + [ + 4083487, + 81281924 + ], + [ + 99802587, + 12770524 + ], + [ + 83747162, + 70352749 + ], + [ + 22929884, + 89760842 + ], + [ + 15235668, + 35210547 + ], + [ + 57451997, + 89132548 + ], + [ + 30382004, + 39702123 + ], + [ + 9452481, + 37280027 + ], + [ + 26077023, + 16012643 + ], + [ + 33893947, + 11206736 + ], + [ + 58591753, + 64940789 + ], + [ + 87686150, + 12005813 + ], + [ + 97123883, + 41141856 + ], + [ + 10624529, + 35004512 + ], + [ + 40437417, + 12989289 + ], + [ + 85360254, + 35064033 + ], + [ + 31015551, + 12077727 + ], + [ + 64859201, + 26278850 + ], + [ + 762195, + 15716134 + ], + [ + 9923278, + 81746832 + ], + [ + 83093776, + 47571569 + ], + [ + 37971284, + 98218366 + ], + [ + 14881874, + 99778414 + ], + [ + 23402023, + 21210841 + ], + [ + 74898896, + 92809478 + ], + [ + 46489116, + 12425398 + ], + [ + 8412508, + 34817231 + ], + [ + 10008703, + 74498780 + ], + [ + 50621360, + 65272665 + ], + [ + 64731133, + 43296993 + ], + [ + 11951409, + 63227576 + ], + [ + 62325884, + 85221859 + ], + [ + 8951739, + 9827812 + ], + [ + 19490115, + 62159879 + ], + [ + 13600454, + 26875241 + ], + [ + 55122189, + 89627047 + ], + [ + 21852537, + 5141132 + ], + [ + 12869826, + 92363908 + ], + [ + 5766406, + 14897326 + ], + [ + 75395794, + 28489350 + ], + [ + 7745006, + 48468699 + ], + [ + 17507157, + 90699530 + ], + [ + 68026674, + 86187284 + ], + [ + 9758481, + 65277520 + ], + [ + 65246316, + 36568116 + ], + [ + 89580123, + 46679437 + ], + [ + 92719532, + 65783651 + ], + [ + 66561255, + 6570471 + ], + [ + 72953708, + 30921190 + ], + [ + 20133480, + 22338796 + ], + [ + 79281492, + 2231446 + ], + [ + 13130059, + 9974343 + ], + [ + 25099461, + 22870093 + ], + [ + 74325350, + 34951485 + ], + [ + 74607421, + 48571092 + ], + [ + 3046519, + 25229719 + ], + [ + 65689420, + 50703617 + ], + [ + 5047693, + 68682330 + ], + [ + 64318698, + 87762361 + ], + [ + 72747700, + 95809370 + ], + [ + 92785747, + 88701147 + ], + [ + 70881685, + 30937399 + ], + [ + 11077069, + 15731861 + ], + [ + 14148959, + 30895457 + ], + [ + 6449186, + 11697771 + ], + [ + 33789584, + 24166213 + ], + [ + 37640633, + 6100094 + ], + [ + 46271812, + 94341639 + ], + [ + 1871540, + 70195334 + ], + [ + 43423263, + 3199057 + ], + [ + 8945507, + 71613508 + ], + [ + 38041235, + 37646434 + ], + [ + 64272233, + 32432234 + ], + [ + 44747628, + 4828722 + ], + [ + 15403648, + 65342336 + ], + [ + 60735464, + 62151290 + ], + [ + 61972449, + 85889567 + ], + [ + 6722550, + 39616245 + ], + [ + 13473398, + 55576742 + ], + [ + 7463459, + 15915840 + ], + [ + 58170072, + 28004612 + ], + [ + 85631427, + 53139674 + ], + [ + 17815503, + 50858392 + ], + [ + 92762824, + 74899540 + ], + [ + 4546111, + 5913874 + ], + [ + 92946847, + 85028923 + ], + [ + 44016460, + 28012912 + ], + [ + 18890288, + 41016610 + ], + [ + 14847181, + 43630444 + ], + [ + 16298586, + 67154561 + ], + [ + 55263718, + 3054818 + ], + [ + 83584504, + 45927915 + ], + [ + 33582187, + 31512098 + ], + [ + 54267909, + 12146211 + ], + [ + 56245587, + 2941832 + ], + [ + 35783447, + 75151084 + ], + [ + 4172400, + 40663531 + ], + [ + 60593222, + 70456535 + ], + [ + 95758338, + 90558481 + ], + [ + 37679972, + 90290095 + ], + [ + 49464422, + 6881647 + ], + [ + 71001334, + 33812745 + ], + [ + 80874507, + 51823368 + ], + [ + 14570540, + 51199659 + ], + [ + 49816736, + 21241904 + ], + [ + 2183353, + 18893120 + ], + [ + 37692623, + 45337124 + ], + [ + 36145685, + 82170811 + ], + [ + 38789690, + 28394821 + ], + [ + 66010635, + 81347889 + ], + [ + 91063357, + 49621249 + ], + [ + 66674610, + 22642442 + ], + [ + 9394310, + 91314355 + ], + [ + 45620664, + 89653404 + ], + [ + 20978514, + 31665715 + ], + [ + 49363865, + 593145 + ], + [ + 39454112, + 19695300 + ], + [ + 38736426, + 14131496 + ], + [ + 11906882, + 92723259 + ], + [ + 30174237, + 18326659 + ], + [ + 7574342, + 17988796 + ], + [ + 29659933, + 42783210 + ], + [ + 40708953, + 27724245 + ], + [ + 29446836, + 26107482 + ], + [ + 11886769, + 84290814 + ], + [ + 78850523, + 56330186 + ], + [ + 48428734, + 53961486 + ], + [ + 23532603, + 27926077 + ], + [ + 70456476, + 87273744 + ], + [ + 11069368, + 32011656 + ], + [ + 69445877, + 40272836 + ], + [ + 34561480, + 23730557 + ], + [ + 65779753, + 36804519 + ], + [ + 97263497, + 31617306 + ], + [ + 77954462, + 64773136 + ], + [ + 31776983, + 46184293 + ], + [ + 95069364, + 96226396 + ], + [ + 435019, + 62802701 + ], + [ + 57226697, + 47582345 + ], + [ + 37954972, + 58872504 + ], + [ + 60350901, + 70726188 + ], + [ + 29783226, + 65587782 + ], + [ + 48647322, + 52655636 + ], + [ + 61121054, + 31614095 + ], + [ + 10003969, + 44655533 + ], + [ + 92851016, + 47419489 + ], + [ + 65803288, + 66748116 + ], + [ + 89357377, + 7811204 + ], + [ + 97667102, + 62240495 + ], + [ + 43391500, + 18925 + ], + [ + 2883440, + 33718270 + ], + [ + 77964342, + 70160329 + ], + [ + 81070501, + 87625824 + ], + [ + 84202062, + 75247673 + ], + [ + 93036659, + 44523455 + ], + [ + 97920963, + 99396755 + ], + [ + 83035648, + 16296063 + ], + [ + 94756898, + 61962785 + ], + [ + 298143, + 58760598 + ], + [ + 76227644, + 32177294 + ], + [ + 54002461, + 56714045 + ], + [ + 91976420, + 96865664 + ], + [ + 67022502, + 4781924 + ], + [ + 11637455, + 8149689 + ], + [ + 56753212, + 63533110 + ], + [ + 48345073, + 2946444 + ], + [ + 50115382, + 64044597 + ], + [ + 64462834, + 89032894 + ], + [ + 81169935, + 12511990 + ], + [ + 77807240, + 39211332 + ], + [ + 73340693, + 33648961 + ], + [ + 17000782, + 27052648 + ], + [ + 62394639, + 21483340 + ], + [ + 38662608, + 43885537 + ], + [ + 56238111, + 79450202 + ], + [ + 95106267, + 53486791 + ], + [ + 41206779, + 35081856 + ], + [ + 43586009, + 32281115 + ], + [ + 46817006, + 58149578 + ], + [ + 95503919, + 62963352 + ], + [ + 14672765, + 27203628 + ], + [ + 42406160, + 66009571 + ], + [ + 85261059, + 66392805 + ], + [ + 79120378, + 38299603 + ], + [ + 17660474, + 56150946 + ], + [ + 16871379, + 58589148 + ], + [ + 56458039, + 8437835 + ], + [ + 87559160, + 17972562 + ], + [ + 8683995, + 28518935 + ], + [ + 85445853, + 7273125 + ], + [ + 51873089, + 99922759 + ], + [ + 16008635, + 75649629 + ], + [ + 10673692, + 64000367 + ], + [ + 62230187, + 44766356 + ], + [ + 16066464, + 35565305 + ], + [ + 78741477, + 5578693 + ], + [ + 48280444, + 68235717 + ], + [ + 79117004, + 70955988 + ], + [ + 14251043, + 44861634 + ], + [ + 12476552, + 6032378 + ], + [ + 45668731, + 51422766 + ], + [ + 30023445, + 78891726 + ], + [ + 77964663, + 89432467 + ], + [ + 33764879, + 43361061 + ], + [ + 80794230, + 21260507 + ], + [ + 7602272, + 3995355 + ], + [ + 58564411, + 82413200 + ], + [ + 54845951, + 15223079 + ], + [ + 26578079, + 21692439 + ], + [ + 22548911, + 68932350 + ], + [ + 4311855, + 32643991 + ], + [ + 12628061, + 33783808 + ], + [ + 8465985, + 80712798 + ], + [ + 50831969, + 59394602 + ], + [ + 25463356, + 86843095 + ], + [ + 47718, + 9512782 + ], + [ + 70535714, + 16063904 + ], + [ + 16001858, + 50610398 + ], + [ + 11768468, + 10560151 + ], + [ + 36285136, + 78354664 + ], + [ + 21764646, + 16580881 + ], + [ + 57533990, + 8741025 + ], + [ + 1549887, + 68672826 + ], + [ + 15210677, + 9301476 + ], + [ + 54422342, + 58805524 + ], + [ + 56049003, + 70256739 + ], + [ + 12493478, + 57604484 + ], + [ + 45561032, + 89350108 + ], + [ + 44610093, + 34282170 + ], + [ + 84776606, + 68619229 + ], + [ + 50436415, + 46143971 + ], + [ + 5782466, + 22602638 + ], + [ + 60892022, + 15236523 + ], + [ + 73332542, + 95921109 + ], + [ + 98658855, + 19672222 + ], + [ + 81989418, + 82753455 + ], + [ + 34192411, + 71056272 + ], + [ + 68023593, + 47345949 + ], + [ + 58766611, + 96844921 + ], + [ + 66909470, + 79550294 + ], + [ + 49021958, + 28419120 + ], + [ + 19863135, + 78294385 + ], + [ + 3683437, + 94286608 + ], + [ + 15153492, + 1256471 + ], + [ + 14283866, + 3820543 + ], + [ + 92542627, + 90479234 + ], + [ + 63014533, + 52855328 + ], + [ + 67213815, + 46476047 + ], + [ + 48362101, + 3187385 + ], + [ + 52177824, + 12992615 + ], + [ + 43997870, + 52811273 + ], + [ + 71196250, + 91178127 + ], + [ + 99088857, + 17122803 + ], + [ + 30492014, + 92626702 + ], + [ + 94440536, + 56460546 + ], + [ + 10250084, + 10026784 + ], + [ + 33615958, + 76524615 + ], + [ + 4249395, + 64860578 + ], + [ + 10575712, + 55174748 + ], + [ + 35703028, + 45677107 + ], + [ + 92888811, + 1708732 + ], + [ + 51206296, + 66421842 + ], + [ + 77386665, + 14503063 + ], + [ + 60792223, + 45942251 + ], + [ + 85925240, + 87358385 + ], + [ + 63515429, + 46275794 + ], + [ + 58805040, + 40436266 + ], + [ + 13804358, + 9160978 + ], + [ + 5231980, + 32932707 + ], + [ + 9495188, + 68116842 + ], + [ + 15333793, + 15588191 + ], + [ + 80155509, + 51629138 + ], + [ + 47143221, + 89983285 + ], + [ + 34139398, + 83995567 + ], + [ + 7129968, + 49968558 + ], + [ + 15954891, + 82803244 + ], + [ + 32367312, + 57972595 + ], + [ + 80005772, + 80155617 + ], + [ + 22351196, + 86209209 + ], + [ + 42954174, + 46839069 + ], + [ + 26493371, + 56406091 + ], + [ + 17468952, + 51951291 + ], + [ + 42960625, + 94537420 + ], + [ + 13341717, + 63108491 + ], + [ + 73662668, + 4966498 + ], + [ + 82024559, + 508930 + ], + [ + 18757992, + 5243974 + ], + [ + 93970557, + 90811696 + ], + [ + 22013314, + 87493655 + ], + [ + 50070565, + 13976088 + ], + [ + 3762354, + 24596704 + ], + [ + 83907728, + 84286372 + ], + [ + 72138348, + 84287486 + ], + [ + 6608175, + 70094510 + ], + [ + 81389801, + 77390600 + ], + [ + 76248319, + 82189784 + ], + [ + 14147536, + 24327788 + ], + [ + 17561890, + 92756267 + ], + [ + 41225481, + 75516180 + ], + [ + 2646278, + 44133547 + ], + [ + 52819414, + 83591339 + ], + [ + 71807322, + 64093326 + ], + [ + 69267397, + 50024091 + ], + [ + 84996836, + 27923348 + ], + [ + 99301216, + 79395172 + ], + [ + 88418951, + 86529487 + ], + [ + 792208, + 59755062 + ], + [ + 89396388, + 23058498 + ], + [ + 72178989, + 39496701 + ], + [ + 82002909, + 50678863 + ], + [ + 87638208, + 84586032 + ], + [ + 44738357, + 53171803 + ], + [ + 39534731, + 67458253 + ], + [ + 54802570, + 13462931 + ], + [ + 88739142, + 99728222 + ], + [ + 53201923, + 40075184 + ], + [ + 73661902, + 18555848 + ], + [ + 68642559, + 40468555 + ], + [ + 67074861, + 20390982 + ], + [ + 28637273, + 37855804 + ], + [ + 69345745, + 56986946 + ], + [ + 69665867, + 18661045 + ], + [ + 68555721, + 73794262 + ], + [ + 65756394, + 53325695 + ], + [ + 63099423, + 81270026 + ], + [ + 77466807, + 32161383 + ], + [ + 98338124, + 61603478 + ], + [ + 862021, + 48262073 + ], + [ + 32108799, + 70031113 + ], + [ + 47343311, + 85744490 + ], + [ + 56806078, + 76968599 + ], + [ + 38475607, + 35520139 + ], + [ + 99194628, + 89910760 + ], + [ + 78110499, + 84291161 + ], + [ + 33056351, + 63983838 + ], + [ + 72201825, + 17820330 + ], + [ + 26141346, + 12912130 + ], + [ + 49143726, + 34243845 + ], + [ + 33954640, + 27382281 + ], + [ + 29932118, + 40948949 + ], + [ + 97012282, + 64683911 + ], + [ + 28433826, + 4952279 + ], + [ + 78106545, + 18518194 + ], + [ + 56084313, + 28380527 + ], + [ + 28279294, + 52968577 + ], + [ + 79229781, + 84917087 + ], + [ + 38441995, + 37056793 + ], + [ + 78408655, + 52483788 + ], + [ + 17804247, + 27056123 + ], + [ + 96229185, + 89190170 + ], + [ + 35552489, + 6086309 + ], + [ + 39447322, + 98435900 + ], + [ + 60229493, + 23454823 + ], + [ + 23258311, + 39556322 + ], + [ + 34059419, + 72616969 + ], + [ + 87213069, + 41760646 + ], + [ + 21936231, + 60792030 + ], + [ + 22193123, + 79799685 + ], + [ + 49922448, + 25164443 + ], + [ + 557470, + 41088076 + ], + [ + 74652422, + 27462052 + ], + [ + 47450358, + 6240271 + ], + [ + 74233003, + 34633183 + ], + [ + 56597480, + 96899721 + ], + [ + 33778587, + 34123883 + ], + [ + 27260189, + 19352460 + ], + [ + 1608686, + 11182451 + ], + [ + 35474263, + 27325546 + ], + [ + 17950560, + 55837012 + ], + [ + 14786338, + 64345811 + ], + [ + 21024394, + 82072190 + ], + [ + 70404976, + 29682913 + ], + [ + 98318989, + 68392945 + ], + [ + 5784379, + 7541318 + ], + [ + 57902418, + 47360036 + ], + [ + 85175231, + 15233022 + ], + [ + 23244058, + 95357051 + ], + [ + 85687952, + 18979841 + ], + [ + 66472501, + 67485904 + ], + [ + 43953723, + 46449089 + ], + [ + 5440094, + 7966191 + ], + [ + 2348587, + 29577273 + ], + [ + 4687262, + 14959795 + ], + [ + 77715210, + 79549931 + ], + [ + 43281145, + 78452658 + ], + [ + 70077164, + 17487396 + ], + [ + 2006943, + 90260972 + ], + [ + 24927705, + 8929350 + ], + [ + 36354943, + 64654238 + ], + [ + 38523701, + 50439237 + ], + [ + 67683526, + 19846857 + ], + [ + 85705160, + 92896958 + ], + [ + 71019903, + 33928204 + ], + [ + 2840241, + 67322765 + ], + [ + 19138371, + 45122256 + ], + [ + 89038057, + 61817817 + ], + [ + 55556382, + 88016153 + ], + [ + 77834341, + 37486637 + ], + [ + 96199336, + 86333567 + ], + [ + 80467049, + 75310545 + ], + [ + 19751547, + 61949326 + ], + [ + 24783777, + 32910631 + ], + [ + 62427085, + 28708825 + ], + [ + 78266910, + 46790072 + ], + [ + 60106595, + 66104834 + ], + [ + 75316116, + 44904440 + ], + [ + 94403899, + 96128541 + ], + [ + 79778873, + 76218891 + ], + [ + 1415605, + 78638449 + ], + [ + 14839973, + 76830460 + ], + [ + 75543200, + 86760011 + ], + [ + 96998971, + 35752613 + ], + [ + 67937694, + 31839969 + ], + [ + 29007350, + 48702538 + ], + [ + 28264111, + 83997534 + ], + [ + 70015477, + 65433970 + ], + [ + 93748331, + 76657502 + ], + [ + 41496241, + 31248130 + ], + [ + 74109237, + 94010900 + ], + [ + 4491401, + 49952176 + ], + [ + 95098366, + 71688567 + ], + [ + 48487828, + 76211281 + ], + [ + 39379938, + 31870249 + ], + [ + 61034251, + 78591442 + ], + [ + 55772910, + 11888748 + ], + [ + 428054, + 16229557 + ], + [ + 9691928, + 13702816 + ], + [ + 11795840, + 23062847 + ], + [ + 46627799, + 91857663 + ], + [ + 17213670, + 71714082 + ], + [ + 27592077, + 34278735 + ], + [ + 25697811, + 24281475 + ], + [ + 96598262, + 87043357 + ], + [ + 71370761, + 75466124 + ], + [ + 22441006, + 11619983 + ], + [ + 18593395, + 98096037 + ], + [ + 68423417, + 76375244 + ], + [ + 69716847, + 23162832 + ], + [ + 18064688, + 22835875 + ], + [ + 74626795, + 80429951 + ], + [ + 86281842, + 28963239 + ], + [ + 34152871, + 22833016 + ], + [ + 40787343, + 52603579 + ], + [ + 31455122, + 50117822 + ], + [ + 58829487, + 11262235 + ], + [ + 38596942, + 35713021 + ], + [ + 7334691, + 90742537 + ], + [ + 48524255, + 65622072 + ], + [ + 14495774, + 36766657 + ], + [ + 76591430, + 54036590 + ], + [ + 22379711, + 91873478 + ], + [ + 26156143, + 29868050 + ], + [ + 38312271, + 77488816 + ], + [ + 32320660, + 35962929 + ], + [ + 96445939, + 42440590 + ], + [ + 70855178, + 36044584 + ], + [ + 63118014, + 29282071 + ], + [ + 97519827, + 11569305 + ], + [ + 56936126, + 60303894 + ], + [ + 35151039, + 70970600 + ], + [ + 63322037, + 4730202 + ], + [ + 51631758, + 58306619 + ], + [ + 98788110, + 9624215 + ], + [ + 9085166, + 66817707 + ], + [ + 8039295, + 4667598 + ], + [ + 34390900, + 79634198 + ], + [ + 59992090, + 12479634 + ], + [ + 75668819, + 62148289 + ], + [ + 26278039, + 8737336 + ], + [ + 86219904, + 45679567 + ], + [ + 31474418, + 36651900 + ], + [ + 4976700, + 14997668 + ], + [ + 56847011, + 93819053 + ], + [ + 26768272, + 56785844 + ], + [ + 41074001, + 3309968 + ], + [ + 59321320, + 83720094 + ], + [ + 7395021, + 27048980 + ], + [ + 65650501, + 77004440 + ], + [ + 72599158, + 93180021 + ], + [ + 20314368, + 73482101 + ], + [ + 43411651, + 27119435 + ], + [ + 59854602, + 25948152 + ], + [ + 32380510, + 16189691 + ], + [ + 69398284, + 88351422 + ], + [ + 50274640, + 67192779 + ], + [ + 50424137, + 57713447 + ], + [ + 234828, + 33420342 + ], + [ + 23327472, + 74179928 + ], + [ + 87130658, + 41939702 + ], + [ + 5305754, + 25536087 + ], + [ + 55923811, + 86499079 + ], + [ + 41072158, + 66756321 + ], + [ + 7593951, + 17520392 + ], + [ + 8031554, + 62786198 + ], + [ + 78002082, + 63798605 + ], + [ + 3817957, + 12361157 + ], + [ + 17662333, + 23043833 + ], + [ + 66167732, + 32043993 + ], + [ + 85897067, + 71779120 + ], + [ + 38621530, + 15350377 + ], + [ + 60209939, + 46110647 + ], + [ + 36429113, + 65988577 + ], + [ + 61556663, + 73248626 + ], + [ + 29007220, + 70508566 + ], + [ + 37230419, + 85576563 + ], + [ + 27669666, + 57009483 + ], + [ + 13703294, + 83333695 + ], + [ + 21256653, + 72765199 + ], + [ + 45406393, + 76436221 + ], + [ + 73074385, + 1950038 + ], + [ + 44434980, + 79133764 + ], + [ + 28054204, + 8837004 + ], + [ + 90808159, + 88293282 + ], + [ + 15565327, + 41220716 + ], + [ + 62792670, + 40747192 + ], + [ + 75174408, + 9938870 + ], + [ + 93485099, + 19313596 + ], + [ + 80482283, + 77423427 + ], + [ + 21433253, + 15819346 + ], + [ + 67019526, + 5408653 + ], + [ + 68207066, + 38490524 + ], + [ + 81712651, + 66370208 + ], + [ + 59941201, + 52525910 + ], + [ + 75433846, + 68944404 + ], + [ + 29212763, + 20698482 + ], + [ + 43338389, + 40767632 + ], + [ + 33742159, + 30048949 + ], + [ + 29032430, + 58552782 + ], + [ + 91616361, + 86566572 + ], + [ + 4166552, + 99454555 + ], + [ + 68420046, + 88313331 + ], + [ + 45128955, + 10640869 + ], + [ + 73947260, + 740458 + ], + [ + 69988216, + 69304645 + ], + [ + 38434895, + 67915744 + ], + [ + 68935746, + 36722403 + ], + [ + 18950745, + 94654935 + ], + [ + 88380400, + 25284311 + ], + [ + 18795593, + 10690943 + ], + [ + 1622959, + 90643383 + ], + [ + 91488503, + 25312769 + ], + [ + 50599736, + 34851293 + ], + [ + 31254589, + 11373944 + ], + [ + 60395993, + 74855253 + ], + [ + 26345789, + 44691005 + ], + [ + 98137496, + 97985311 + ], + [ + 67167074, + 52245910 + ], + [ + 68663340, + 95174454 + ], + [ + 19058484, + 41768302 + ], + [ + 24862232, + 63001186 + ], + [ + 83983834, + 71465073 + ], + [ + 90549679, + 5237227 + ], + [ + 35216981, + 79298522 + ], + [ + 9013825, + 93100244 + ], + [ + 33316363, + 60473440 + ], + [ + 26205653, + 62877021 + ], + [ + 35239276, + 48335772 + ], + [ + 47268323, + 1648647 + ], + [ + 94716049, + 16818614 + ], + [ + 65943574, + 88520806 + ], + [ + 58975204, + 56732868 + ], + [ + 43698517, + 28656721 + ], + [ + 18270324, + 41831486 + ], + [ + 81077832, + 77615040 + ], + [ + 55253531, + 2447033 + ], + [ + 88091347, + 17407145 + ], + [ + 52891956, + 39757592 + ], + [ + 7887844, + 90741822 + ], + [ + 98405403, + 81123949 + ], + [ + 16578301, + 69731127 + ], + [ + 86553710, + 81812914 + ], + [ + 98169261, + 73097948 + ], + [ + 36903490, + 32246385 + ], + [ + 73959251, + 56317626 + ], + [ + 99880711, + 88078577 + ], + [ + 5761833, + 4100064 + ], + [ + 40343889, + 73883893 + ], + [ + 97482434, + 27202537 + ], + [ + 13210448, + 39307635 + ], + [ + 71265906, + 24147745 + ], + [ + 5580153, + 88124382 + ], + [ + 95044361, + 39519839 + ], + [ + 67037655, + 39065311 + ], + [ + 24010364, + 12639518 + ], + [ + 57573517, + 25499411 + ], + [ + 77584176, + 17729074 + ], + [ + 83307722, + 83926769 + ], + [ + 60502464, + 56911771 + ], + [ + 19016240, + 28758150 + ], + [ + 32701622, + 44642093 + ], + [ + 20078678, + 47696569 + ], + [ + 95947505, + 56907596 + ], + [ + 13482787, + 66591320 + ], + [ + 95574368, + 32053163 + ], + [ + 76618217, + 55436395 + ], + [ + 346514, + 37861385 + ], + [ + 46678884, + 13478622 + ], + [ + 94862961, + 75454737 + ], + [ + 85649369, + 86994680 + ], + [ + 78414751, + 53606159 + ], + [ + 12755391, + 14023017 + ], + [ + 85021114, + 22440892 + ], + [ + 85668207, + 89489778 + ], + [ + 83945829, + 19372124 + ], + [ + 51907999, + 53328844 + ], + [ + 12519603, + 858333 + ], + [ + 29568029, + 6766398 + ], + [ + 21431627, + 46743863 + ], + [ + 65616235, + 6202693 + ], + [ + 27858003, + 33904541 + ], + [ + 75943652, + 95797650 + ], + [ + 63381085, + 27685213 + ], + [ + 77861232, + 86905738 + ], + [ + 84523643, + 99554037 + ], + [ + 62880076, + 51353293 + ], + [ + 89191497, + 85069704 + ], + [ + 67425827, + 19596042 + ], + [ + 30757729, + 64600249 + ], + [ + 67385583, + 84258941 + ], + [ + 23737107, + 42112612 + ], + [ + 63711408, + 88554689 + ], + [ + 43122105, + 90751941 + ], + [ + 91131043, + 75418643 + ], + [ + 18268042, + 27121594 + ], + [ + 34169958, + 50946240 + ], + [ + 45949773, + 80410694 + ], + [ + 27105326, + 85605852 + ], + [ + 43828869, + 57998518 + ], + [ + 9400959, + 77914924 + ], + [ + 33637014, + 47291006 + ], + [ + 57447370, + 27542296 + ], + [ + 22702887, + 46448317 + ], + [ + 55366956, + 13912624 + ], + [ + 10191842, + 38838082 + ], + [ + 44589091, + 71122741 + ], + [ + 62870231, + 64359996 + ], + [ + 89729858, + 61917953 + ], + [ + 23789532, + 2518371 + ], + [ + 61456153, + 1310346 + ], + [ + 12126447, + 2426038 + ], + [ + 30832376, + 71675108 + ], + [ + 48494101, + 78015808 + ], + [ + 60340405, + 38991594 + ], + [ + 10500890, + 99870006 + ], + [ + 86194237, + 26713941 + ], + [ + 8134068, + 28837570 + ], + [ + 99873855, + 82108620 + ], + [ + 68331614, + 99693135 + ], + [ + 83449636, + 26541896 + ], + [ + 35551206, + 25268386 + ], + [ + 73384032, + 51459756 + ], + [ + 81412176, + 17108821 + ], + [ + 54815870, + 74004936 + ], + [ + 10980021, + 68324465 + ], + [ + 6012021, + 74388136 + ], + [ + 76174781, + 80619481 + ], + [ + 51081315, + 32405773 + ], + [ + 23299559, + 2232464 + ], + [ + 36476880, + 17632933 + ], + [ + 5301520, + 67849958 + ], + [ + 24025816, + 98678855 + ], + [ + 61353831, + 74174486 + ], + [ + 83310768, + 51245677 + ], + [ + 51271603, + 59931750 + ], + [ + 77054440, + 8151658 + ], + [ + 43137658, + 48054536 + ], + [ + 41264270, + 97547042 + ], + [ + 16020359, + 65275714 + ], + [ + 32687311, + 95291512 + ], + [ + 3515111, + 76332707 + ], + [ + 93428975, + 79679498 + ], + [ + 16808255, + 42362916 + ], + [ + 86277989, + 28114048 + ], + [ + 93204971, + 66089843 + ], + [ + 35526220, + 91764811 + ], + [ + 62595316, + 85506592 + ], + [ + 76916820, + 3842574 + ], + [ + 93512620, + 18420568 + ], + [ + 92112170, + 59093513 + ], + [ + 62658544, + 61774187 + ], + [ + 42621186, + 78356903 + ], + [ + 50615137, + 40627667 + ], + [ + 47540494, + 251946 + ], + [ + 71006745, + 3056897 + ], + [ + 92012640, + 38176536 + ], + [ + 33801218, + 45455608 + ], + [ + 86432043, + 26427189 + ], + [ + 94071832, + 12044758 + ], + [ + 55233669, + 74875488 + ], + [ + 6964570, + 31488649 + ], + [ + 47757111, + 1299604 + ], + [ + 28072136, + 48393514 + ], + [ + 28993653, + 93392744 + ], + [ + 41019644, + 87736247 + ], + [ + 70955308, + 37976475 + ], + [ + 74018637, + 82775157 + ], + [ + 37398695, + 2496308 + ], + [ + 34062958, + 87332468 + ], + [ + 31347027, + 71249393 + ], + [ + 70813268, + 24496703 + ], + [ + 76301629, + 3976136 + ], + [ + 28886970, + 40979329 + ], + [ + 9148681, + 47066969 + ], + [ + 23032817, + 17335996 + ], + [ + 10133497, + 74862046 + ], + [ + 78361292, + 77157211 + ], + [ + 1011981, + 73034387 + ], + [ + 72894364, + 52337026 + ], + [ + 14927512, + 7851402 + ], + [ + 13494162, + 31665914 + ], + [ + 6055869, + 13485091 + ], + [ + 88701122, + 18988516 + ], + [ + 76092604, + 17082295 + ], + [ + 51277099, + 48221025 + ], + [ + 76609462, + 17051071 + ], + [ + 11997293, + 26100196 + ], + [ + 36867376, + 13261844 + ], + [ + 55612268, + 20339972 + ], + [ + 44128784, + 50554181 + ], + [ + 66712798, + 39888565 + ], + [ + 33937823, + 85017474 + ], + [ + 80574823, + 84115885 + ], + [ + 62537075, + 33135635 + ], + [ + 98984318, + 45778146 + ], + [ + 17920473, + 20117745 + ], + [ + 4278715, + 11495371 + ], + [ + 81556951, + 3247431 + ], + [ + 26184302, + 71020710 + ], + [ + 41105282, + 34163424 + ], + [ + 97591510, + 45674153 + ], + [ + 50571329, + 56864559 + ], + [ + 71873829, + 62274589 + ], + [ + 11350975, + 13783273 + ], + [ + 10946202, + 19280495 + ], + [ + 14729118, + 43437869 + ], + [ + 61000182, + 42904056 + ], + [ + 42338994, + 88444728 + ], + [ + 2278074, + 80892097 + ], + [ + 96692165, + 30394144 + ], + [ + 65810748, + 23267888 + ], + [ + 16376923, + 46279520 + ], + [ + 50793582, + 12762203 + ], + [ + 81087682, + 25167225 + ], + [ + 44992033, + 4891437 + ], + [ + 45063814, + 42688094 + ], + [ + 87711432, + 45070103 + ], + [ + 47891537, + 75636359 + ], + [ + 21963682, + 20733974 + ], + [ + 13738815, + 16467223 + ], + [ + 21584934, + 57448965 + ], + [ + 23345052, + 61199028 + ], + [ + 37057333, + 80907888 + ], + [ + 41882307, + 18948765 + ], + [ + 19245312, + 31031769 + ], + [ + 84692519, + 41663661 + ], + [ + 79891724, + 27770826 + ], + [ + 17135494, + 51197848 + ], + [ + 62595362, + 69285502 + ], + [ + 86092172, + 33320008 + ], + [ + 18130856, + 12661791 + ], + [ + 44031452, + 40408591 + ], + [ + 62831665, + 39674946 + ], + [ + 12521506, + 71839023 + ], + [ + 30103029, + 5736216 + ], + [ + 32899353, + 47855417 + ], + [ + 72096721, + 36374393 + ], + [ + 4906904, + 87354301 + ], + [ + 1946170, + 84901914 + ], + [ + 35276904, + 93478439 + ], + [ + 95059282, + 182130 + ], + [ + 63369439, + 49534945 + ], + [ + 7510229, + 19078637 + ], + [ + 84559348, + 75213307 + ], + [ + 19741766, + 27260735 + ], + [ + 96997780, + 5566903 + ], + [ + 81983520, + 50765817 + ], + [ + 71064850, + 4559946 + ], + [ + 59533786, + 34502403 + ], + [ + 60472529, + 35739550 + ], + [ + 63537016, + 66194733 + ], + [ + 27465062, + 61196115 + ], + [ + 55611464, + 98852497 + ], + [ + 32509922, + 65617178 + ], + [ + 55575214, + 99152741 + ], + [ + 64119786, + 958478 + ], + [ + 63273801, + 37305136 + ], + [ + 87148238, + 91827403 + ], + [ + 1138044, + 73164245 + ], + [ + 20132346, + 16682180 + ], + [ + 99365656, + 78016686 + ], + [ + 16149239, + 55666777 + ], + [ + 58484651, + 44049814 + ], + [ + 37334105, + 60311796 + ], + [ + 50091001, + 80656797 + ], + [ + 33332629, + 7957904 + ], + [ + 97210197, + 86639107 + ], + [ + 19528812, + 68424644 + ], + [ + 88772164, + 72458458 + ], + [ + 82779453, + 36821162 + ], + [ + 73812492, + 42973166 + ], + [ + 79836269, + 54427519 + ], + [ + 20750659, + 34434838 + ], + [ + 44190, + 89342413 + ], + [ + 29441825, + 73073920 + ], + [ + 16356661, + 33700307 + ], + [ + 22292494, + 43402197 + ], + [ + 7432391, + 23588964 + ], + [ + 72711520, + 65211722 + ], + [ + 3769968, + 98281430 + ], + [ + 4448343, + 10282277 + ], + [ + 46600433, + 86795936 + ], + [ + 98312124, + 57576262 + ], + [ + 16614869, + 15160846 + ], + [ + 95207381, + 9799426 + ], + [ + 49970324, + 35902166 + ], + [ + 66512165, + 53520266 + ], + [ + 72045238, + 73251665 + ], + [ + 54818114, + 72524919 + ], + [ + 8058418, + 16969712 + ], + [ + 23746299, + 19956031 + ], + [ + 6210367, + 83394284 + ], + [ + 96408709, + 84348024 + ], + [ + 93917104, + 1618626 + ], + [ + 97297390, + 93719122 + ], + [ + 82943336, + 48675586 + ], + [ + 16892699, + 60141090 + ], + [ + 64736706, + 4115637 + ], + [ + 59937551, + 64147187 + ], + [ + 66058790, + 27924306 + ], + [ + 72205602, + 28668922 + ], + [ + 43525114, + 46107863 + ], + [ + 44761123, + 3656942 + ], + [ + 96916173, + 36922681 + ], + [ + 3197560, + 95688860 + ], + [ + 17802061, + 77973955 + ], + [ + 62556425, + 647461 + ], + [ + 79108285, + 75114420 + ], + [ + 76420582, + 71735852 + ], + [ + 49108618, + 42444668 + ], + [ + 58875713, + 89933557 + ], + [ + 54591969, + 65242446 + ], + [ + 64485863, + 65233957 + ], + [ + 68787955, + 93033549 + ], + [ + 83751364, + 75069607 + ], + [ + 12719456, + 22161153 + ], + [ + 59335822, + 20110809 + ], + [ + 4728775, + 489255 + ], + [ + 39022360, + 19317166 + ], + [ + 28356560, + 9301426 + ], + [ + 57825574, + 41925069 + ], + [ + 76051593, + 25374934 + ], + [ + 16430117, + 64936021 + ], + [ + 37616596, + 49226612 + ], + [ + 36623858, + 27427371 + ], + [ + 84020841, + 79264486 + ], + [ + 60942883, + 26088200 + ], + [ + 26966712, + 48403764 + ], + [ + 57700095, + 32388665 + ], + [ + 42950050, + 37617401 + ], + [ + 1976806, + 62901683 + ], + [ + 11819396, + 86896224 + ], + [ + 92186238, + 58241275 + ], + [ + 7098375, + 23474358 + ], + [ + 16377255, + 29463307 + ], + [ + 48877610, + 22821999 + ], + [ + 58945034, + 57193884 + ], + [ + 98501127, + 80286027 + ], + [ + 95164288, + 2167627 + ], + [ + 95010732, + 78861983 + ], + [ + 49773554, + 33052558 + ], + [ + 17265069, + 86220180 + ], + [ + 55720708, + 17422522 + ], + [ + 54069329, + 10011562 + ], + [ + 38270067, + 65754384 + ], + [ + 77893821, + 53018302 + ], + [ + 29513756, + 44194333 + ], + [ + 77701764, + 55419110 + ], + [ + 48690004, + 85793518 + ], + [ + 73924786, + 58873656 + ], + [ + 74281861, + 63407738 + ], + [ + 86972779, + 66407813 + ], + [ + 52261574, + 88268205 + ], + [ + 42178886, + 17717433 + ], + [ + 13870807, + 63191989 + ], + [ + 26644392, + 92817218 + ], + [ + 85202401, + 10860839 + ], + [ + 16875718, + 60870738 + ], + [ + 86408172, + 55790549 + ], + [ + 66092250, + 94520792 + ], + [ + 26328602, + 49645713 + ], + [ + 94211485, + 54066806 + ], + [ + 2356737, + 58889809 + ], + [ + 52604339, + 60630012 + ], + [ + 33704415, + 44102667 + ], + [ + 46541569, + 51619001 + ], + [ + 23690498, + 31686389 + ], + [ + 67867797, + 41214198 + ], + [ + 6804764, + 61702613 + ], + [ + 28013422, + 23718811 + ], + [ + 88703823, + 91511218 + ], + [ + 76579274, + 37502196 + ], + [ + 91694428, + 66436384 + ], + [ + 14598178, + 23091381 + ], + [ + 62201144, + 52651124 + ], + [ + 54594465, + 10951453 + ], + [ + 27429667, + 80421981 + ], + [ + 68232699, + 56387452 + ], + [ + 54497065, + 90744781 + ], + [ + 10567467, + 84010032 + ], + [ + 76357659, + 68330157 + ], + [ + 2191542, + 81029742 + ], + [ + 22390280, + 83971664 + ], + [ + 69130844, + 49113791 + ], + [ + 65362815, + 65431973 + ], + [ + 83869660, + 65617018 + ], + [ + 7019764, + 30226679 + ], + [ + 45043737, + 70887608 + ], + [ + 53696932, + 14434652 + ], + [ + 17606173, + 73232442 + ], + [ + 14386888, + 10223431 + ], + [ + 92621298, + 17669340 + ], + [ + 79652029, + 44770010 + ], + [ + 69905644, + 49361775 + ], + [ + 28081623, + 99272063 + ], + [ + 8657171, + 59959746 + ], + [ + 17712812, + 9378472 + ], + [ + 46305183, + 11295467 + ], + [ + 94508405, + 89698700 + ], + [ + 82317504, + 24374900 + ], + [ + 14453647, + 26640806 + ], + [ + 21823136, + 57934710 + ], + [ + 66825395, + 77004196 + ], + [ + 50491689, + 22368957 + ], + [ + 53278435, + 52790210 + ], + [ + 31471424, + 78405413 + ], + [ + 79810873, + 46764854 + ], + [ + 81310824, + 45454319 + ], + [ + 61904954, + 72418999 + ], + [ + 66227966, + 71389820 + ], + [ + 1122907, + 19931257 + ], + [ + 16997229, + 33798437 + ], + [ + 59599298, + 19240500 + ], + [ + 73413686, + 48644722 + ], + [ + 90674134, + 33598112 + ], + [ + 3209162, + 31408377 + ], + [ + 98135603, + 93008374 + ], + [ + 70417086, + 98250834 + ], + [ + 40187067, + 6403517 + ], + [ + 71383324, + 73601139 + ], + [ + 37661077, + 67835164 + ], + [ + 71902638, + 30412975 + ], + [ + 70635032, + 84774166 + ], + [ + 31203272, + 76796574 + ], + [ + 53851035, + 33987068 + ], + [ + 56741152, + 16685390 + ], + [ + 76310138, + 65823076 + ], + [ + 52642041, + 17944803 + ], + [ + 93787109, + 94739886 + ], + [ + 16200675, + 2667754 + ], + [ + 29140124, + 3291954 + ], + [ + 94696336, + 26886193 + ], + [ + 98297219, + 98287995 + ], + [ + 63926432, + 79352091 + ], + [ + 35290840, + 96408160 + ], + [ + 68118683, + 97662957 + ], + [ + 55118863, + 30506045 + ], + [ + 55994825, + 39046916 + ], + [ + 51788004, + 93056221 + ], + [ + 18268594, + 30935236 + ], + [ + 93546869, + 12880402 + ], + [ + 33595712, + 86056075 + ], + [ + 30473694, + 5186935 + ], + [ + 50948804, + 90422110 + ], + [ + 58139400, + 12305601 + ], + [ + 52954038, + 52643787 + ], + [ + 24146656, + 94545984 + ], + [ + 33963372, + 49782583 + ], + [ + 4857119, + 7750141 + ], + [ + 27531158, + 86304436 + ], + [ + 50534010, + 65845962 + ], + [ + 9664890, + 23717331 + ], + [ + 92998379, + 41780532 + ], + [ + 88202214, + 95928852 + ], + [ + 83512066, + 63643604 + ], + [ + 44279053, + 50713722 + ], + [ + 33123423, + 91384248 + ], + [ + 45545111, + 26990676 + ], + [ + 37396968, + 15568688 + ], + [ + 78052156, + 59456263 + ], + [ + 67281293, + 48934484 + ], + [ + 67802276, + 10891023 + ], + [ + 35022191, + 91567273 + ], + [ + 29233094, + 90857859 + ], + [ + 2354096, + 85615074 + ], + [ + 18550312, + 5985916 + ], + [ + 15126269, + 32651811 + ], + [ + 10541885, + 61708973 + ], + [ + 22653115, + 48755695 + ], + [ + 94756705, + 5853507 + ], + [ + 75042240, + 28528398 + ], + [ + 32919495, + 4426675 + ], + [ + 85101208, + 33716266 + ], + [ + 34274952, + 59438119 + ], + [ + 2561113, + 11420398 + ], + [ + 61500709, + 9909271 + ], + [ + 15626816, + 69648986 + ], + [ + 49095004, + 20497987 + ], + [ + 89080164, + 1963688 + ], + [ + 80234579, + 68095085 + ], + [ + 24821681, + 28411545 + ], + [ + 63041601, + 32539101 + ], + [ + 86326904, + 24695066 + ], + [ + 35598746, + 21548457 + ], + [ + 84398462, + 54438100 + ], + [ + 82296567, + 54847842 + ], + [ + 22443805, + 90806570 + ], + [ + 5465867, + 91128885 + ], + [ + 78384634, + 8764654 + ], + [ + 86343652, + 64858609 + ], + [ + 42432664, + 94351942 + ], + [ + 24728110, + 57518620 + ], + [ + 82458252, + 43626774 + ], + [ + 11950348, + 12983474 + ], + [ + 70690133, + 3205923 + ], + [ + 10238004, + 42815368 + ], + [ + 4129519, + 76121069 + ], + [ + 18489842, + 55376328 + ], + [ + 3164317, + 84451739 + ], + [ + 49562931, + 71281636 + ], + [ + 2412222, + 88074491 + ], + [ + 79844782, + 70631072 + ], + [ + 43071100, + 42890534 + ], + [ + 82343548, + 19193794 + ], + [ + 75809937, + 74267366 + ], + [ + 85224778, + 89889638 + ], + [ + 62186322, + 72095951 + ], + [ + 9817537, + 17379049 + ], + [ + 63253221, + 23099187 + ], + [ + 51283798, + 73151912 + ], + [ + 7461904, + 95259599 + ], + [ + 87208018, + 22281024 + ], + [ + 91318519, + 36642791 + ], + [ + 22598794, + 8947946 + ], + [ + 78047488, + 65290177 + ], + [ + 8491864, + 56521160 + ], + [ + 73335526, + 25187851 + ], + [ + 23898297, + 94446821 + ], + [ + 41265298, + 21243148 + ], + [ + 93656038, + 88662705 + ], + [ + 8774427, + 69502454 + ], + [ + 43397088, + 41964865 + ], + [ + 92325453, + 38109099 + ], + [ + 6493909, + 74139879 + ], + [ + 28355450, + 48053410 + ], + [ + 46577720, + 21176589 + ], + [ + 85837504, + 97672406 + ], + [ + 73045495, + 79636141 + ], + [ + 84268498, + 76414145 + ], + [ + 4948091, + 1767519 + ], + [ + 83021100, + 91619993 + ], + [ + 18355995, + 65519571 + ], + [ + 60645038, + 75049514 + ], + [ + 89718757, + 80378216 + ], + [ + 55204729, + 23484057 + ], + [ + 76849244, + 4878782 + ], + [ + 31688993, + 39478746 + ], + [ + 31800616, + 20637350 + ], + [ + 12186413, + 24153503 + ], + [ + 19675929, + 36142201 + ], + [ + 20979813, + 62344000 + ], + [ + 7703833, + 78004595 + ], + [ + 72386441, + 96268455 + ], + [ + 95487954, + 12762894 + ], + [ + 75832648, + 38295031 + ], + [ + 77437732, + 40419418 + ], + [ + 63472814, + 68327427 + ], + [ + 59166620, + 22665393 + ], + [ + 56191537, + 92790237 + ], + [ + 293278, + 37576370 + ], + [ + 58957975, + 13511169 + ], + [ + 44975701, + 88573832 + ], + [ + 98786621, + 67197937 + ], + [ + 78116713, + 11894476 + ], + [ + 42229362, + 97243646 + ], + [ + 68666559, + 14471048 + ], + [ + 78925306, + 26583284 + ], + [ + 58344728, + 50625593 + ], + [ + 57273594, + 17920323 + ], + [ + 3603873, + 62454473 + ], + [ + 50988988, + 67835988 + ], + [ + 38249700, + 89814375 + ], + [ + 75659641, + 56411679 + ], + [ + 15367755, + 11960890 + ], + [ + 25914913, + 17429527 + ], + [ + 69929417, + 64607826 + ], + [ + 25506234, + 38935167 + ], + [ + 24528950, + 55639541 + ], + [ + 35393203, + 80706975 + ], + [ + 91031331, + 60071792 + ], + [ + 68093635, + 95808126 + ], + [ + 64637222, + 5389725 + ], + [ + 75478251, + 94384799 + ], + [ + 68965020, + 64552233 + ], + [ + 400586, + 29479240 + ], + [ + 30465382, + 59958724 + ], + [ + 25920432, + 91904503 + ], + [ + 99273162, + 16431929 + ], + [ + 99945620, + 54482220 + ], + [ + 40625209, + 92882586 + ], + [ + 57491193, + 80596615 + ], + [ + 23337608, + 52101792 + ], + [ + 65784747, + 65987463 + ], + [ + 41716100, + 85036230 + ], + [ + 36258172, + 80073963 + ], + [ + 57393635, + 91866512 + ], + [ + 76281793, + 59586499 + ], + [ + 69999804, + 80881191 + ], + [ + 88538678, + 23872016 + ], + [ + 67248472, + 77835824 + ], + [ + 50195068, + 27066891 + ], + [ + 39783785, + 64699649 + ], + [ + 58330325, + 37872713 + ], + [ + 23571496, + 28425327 + ], + [ + 10000596, + 81872032 + ], + [ + 38242666, + 62056175 + ], + [ + 85615932, + 88727878 + ], + [ + 35998861, + 85572830 + ], + [ + 58866070, + 61624597 + ], + [ + 606278, + 50781284 + ], + [ + 81295995, + 78872267 + ], + [ + 66014305, + 32143783 + ], + [ + 16488749, + 82853749 + ], + [ + 27655657, + 28348224 + ], + [ + 86676119, + 86942362 + ], + [ + 37592064, + 7547089 + ], + [ + 88380537, + 85828493 + ], + [ + 18074514, + 78530504 + ], + [ + 83869128, + 55738282 + ], + [ + 55482515, + 80068615 + ], + [ + 37218054, + 14047963 + ], + [ + 24703021, + 52383144 + ], + [ + 61366070, + 31260340 + ], + [ + 22690096, + 61288406 + ], + [ + 63105694, + 47002938 + ], + [ + 9700575, + 10753127 + ], + [ + 95712039, + 96484172 + ], + [ + 85275143, + 27783754 + ], + [ + 86808516, + 41395040 + ], + [ + 4822831, + 29952273 + ], + [ + 81805253, + 92298425 + ], + [ + 96009347, + 77694139 + ], + [ + 16531219, + 8419260 + ], + [ + 73996501, + 11461325 + ], + [ + 99531815, + 73687319 + ], + [ + 83053011, + 19279475 + ], + [ + 97473447, + 71233488 + ], + [ + 34061483, + 92930427 + ], + [ + 50488390, + 42363821 + ], + [ + 71887558, + 9337424 + ], + [ + 32664874, + 14127667 + ], + [ + 49032870, + 13702678 + ], + [ + 43221114, + 22670557 + ], + [ + 45867206, + 68213509 + ], + [ + 10040695, + 88885620 + ], + [ + 97691097, + 78480806 + ], + [ + 46759777, + 94416409 + ], + [ + 94224138, + 43265017 + ], + [ + 43952151, + 83953983 + ], + [ + 76142303, + 9072214 + ], + [ + 22419002, + 35155584 + ], + [ + 32892241, + 37179729 + ], + [ + 21054617, + 8557040 + ], + [ + 48420672, + 1802771 + ], + [ + 25650170, + 2554195 + ], + [ + 23646063, + 36262469 + ], + [ + 8197966, + 1004963 + ], + [ + 67822294, + 3157213 + ], + [ + 64941330, + 83506818 + ], + [ + 88930568, + 24410820 + ], + [ + 82170023, + 32503831 + ], + [ + 5487054, + 79472582 + ], + [ + 24407584, + 31117016 + ], + [ + 13841583, + 66250798 + ], + [ + 75236294, + 22250324 + ], + [ + 3137747, + 52881960 + ], + [ + 40898546, + 98383803 + ], + [ + 29510548, + 77717897 + ], + [ + 42387316, + 52275651 + ], + [ + 5198088, + 72383856 + ], + [ + 30149372, + 96277723 + ], + [ + 43269236, + 4820064 + ], + [ + 55685555, + 35335749 + ], + [ + 95130506, + 56918968 + ], + [ + 74479019, + 52699739 + ], + [ + 53180831, + 32382012 + ], + [ + 31571706, + 20704876 + ], + [ + 59772118, + 21423323 + ], + [ + 19453927, + 4165452 + ], + [ + 82413007, + 35601889 + ], + [ + 37181811, + 30954442 + ], + [ + 59197500, + 36609381 + ], + [ + 35468064, + 88795341 + ], + [ + 78072424, + 12844183 + ], + [ + 56881823, + 87692424 + ], + [ + 35248642, + 25675209 + ], + [ + 54330813, + 13071786 + ], + [ + 2407937, + 4366018 + ], + [ + 41918416, + 92597991 + ], + [ + 47061730, + 31785908 + ], + [ + 87740768, + 82384285 + ], + [ + 2973985, + 42769566 + ], + [ + 42142756, + 18189850 + ], + [ + 43947052, + 62429400 + ], + [ + 75092975, + 54997320 + ], + [ + 29012824, + 16987892 + ], + [ + 93093234, + 19499328 + ], + [ + 74233787, + 80144571 + ], + [ + 17930460, + 90457199 + ], + [ + 21481988, + 1686280 + ], + [ + 52517452, + 5479525 + ], + [ + 60128801, + 92812438 + ], + [ + 63615672, + 7458646 + ], + [ + 67665304, + 17276382 + ], + [ + 94421375, + 75054994 + ], + [ + 50418905, + 44966874 + ], + [ + 16064970, + 44939858 + ], + [ + 20474570, + 91325460 + ], + [ + 58406289, + 97365914 + ], + [ + 45146176, + 41481248 + ], + [ + 3288122, + 74327429 + ], + [ + 55584566, + 93936582 + ], + [ + 59936399, + 36382782 + ], + [ + 98757318, + 71778467 + ], + [ + 94033714, + 17343868 + ], + [ + 89920232, + 68650665 + ], + [ + 71153584, + 17900300 + ], + [ + 20260658, + 56546316 + ], + [ + 73336948, + 81374744 + ], + [ + 78617793, + 76000677 + ], + [ + 30241128, + 78470751 + ], + [ + 18350954, + 7585609 + ], + [ + 38806360, + 52750725 + ], + [ + 13059006, + 48282174 + ], + [ + 16709956, + 21342965 + ], + [ + 30213627, + 6987742 + ], + [ + 7875631, + 3617386 + ], + [ + 50718605, + 77037566 + ], + [ + 46134459, + 13553985 + ], + [ + 13067620, + 47371775 + ], + [ + 33744730, + 17844794 + ], + [ + 35890732, + 93972450 + ], + [ + 59979668, + 76745122 + ], + [ + 57971261, + 69605400 + ], + [ + 48846984, + 9356874 + ], + [ + 67221804, + 51626362 + ], + [ + 41636561, + 62233195 + ], + [ + 38799591, + 60719323 + ], + [ + 25344335, + 50080661 + ], + [ + 30975857, + 81852473 + ], + [ + 54015210, + 44843774 + ], + [ + 17747917, + 76011681 + ], + [ + 61946334, + 15604848 + ], + [ + 34733936, + 12778429 + ], + [ + 85206273, + 33621045 + ], + [ + 54655758, + 32646520 + ], + [ + 32815587, + 15586148 + ], + [ + 26219211, + 58774529 + ], + [ + 69726378, + 30908907 + ], + [ + 8368365, + 33324591 + ], + [ + 57451807, + 58251306 + ], + [ + 5926053, + 43823988 + ], + [ + 56983772, + 28135346 + ], + [ + 64861369, + 15454684 + ], + [ + 85168861, + 96893442 + ], + [ + 81824932, + 41283966 + ], + [ + 75702646, + 34884177 + ], + [ + 18740376, + 57536492 + ], + [ + 97392695, + 40703296 + ], + [ + 55643394, + 52861556 + ], + [ + 15110975, + 1714619 + ], + [ + 17704466, + 79493330 + ], + [ + 55426712, + 23491001 + ], + [ + 69508471, + 91095956 + ], + [ + 33911201, + 5777733 + ], + [ + 82610171, + 15194979 + ], + [ + 46183746, + 92243188 + ], + [ + 86024278, + 31900892 + ], + [ + 35326264, + 45424354 + ], + [ + 31339383, + 21706790 + ], + [ + 4809031, + 67534915 + ], + [ + 23822322, + 41458684 + ], + [ + 65915923, + 46148598 + ], + [ + 94008004, + 86540837 + ], + [ + 28116881, + 54475698 + ], + [ + 66515633, + 52320731 + ], + [ + 24818586, + 90844458 + ], + [ + 49709487, + 37339187 + ], + [ + 75771434, + 89588797 + ], + [ + 3343243, + 52662992 + ], + [ + 57277529, + 8745341 + ], + [ + 40001607, + 86182833 + ], + [ + 745481, + 20074724 + ], + [ + 1849306, + 61081144 + ], + [ + 91375866, + 47294856 + ], + [ + 74491641, + 47123995 + ], + [ + 5570076, + 98607563 + ], + [ + 66089525, + 14802829 + ], + [ + 73014488, + 37649140 + ], + [ + 27549512, + 57256562 + ], + [ + 8596653, + 53133295 + ], + [ + 52721313, + 88392773 + ], + [ + 49640929, + 71169251 + ], + [ + 84003357, + 98440419 + ], + [ + 37249912, + 83225198 + ], + [ + 93383889, + 21927661 + ], + [ + 40511202, + 36330537 + ], + [ + 52119008, + 1680179 + ], + [ + 64640653, + 79702863 + ], + [ + 89596978, + 20336910 + ], + [ + 17774606, + 58907297 + ], + [ + 95423699, + 25849093 + ], + [ + 11444341, + 26118939 + ], + [ + 39823562, + 19849541 + ], + [ + 48769641, + 29599732 + ], + [ + 40358203, + 50437246 + ], + [ + 39831515, + 44602064 + ], + [ + 46403808, + 53570498 + ], + [ + 29900635, + 12582092 + ], + [ + 107760, + 54987727 + ], + [ + 82583882, + 64086618 + ], + [ + 23721428, + 26764839 + ], + [ + 43642004, + 41067724 + ], + [ + 55080901, + 78735910 + ], + [ + 70137767, + 9446066 + ], + [ + 84379010, + 41318396 + ], + [ + 45689348, + 36673681 + ], + [ + 30514258, + 65965707 + ], + [ + 6063774, + 8377432 + ], + [ + 6186349, + 98505059 + ], + [ + 3903437, + 16080137 + ], + [ + 6295424, + 36494537 + ], + [ + 15243251, + 80311598 + ], + [ + 46122333, + 86280581 + ], + [ + 73219156, + 32790359 + ], + [ + 57899331, + 36493636 + ], + [ + 29830434, + 20212852 + ], + [ + 91994516, + 85588933 + ], + [ + 11478053, + 63637137 + ], + [ + 5192957, + 31728452 + ], + [ + 91368686, + 82285917 + ], + [ + 53496972, + 49225033 + ], + [ + 44988508, + 90173007 + ], + [ + 59893899, + 20095270 + ], + [ + 18286524, + 16772083 + ], + [ + 4303768, + 82535951 + ], + [ + 7483767, + 54250004 + ], + [ + 15222212, + 66699024 + ], + [ + 32412164, + 32161856 + ], + [ + 9712551, + 89387764 + ], + [ + 4795918, + 69758895 + ], + [ + 56965187, + 6513819 + ], + [ + 50246311, + 20527091 + ], + [ + 27589552, + 48447286 + ], + [ + 31969019, + 83049411 + ], + [ + 644628, + 59909783 + ], + [ + 15513667, + 63657506 + ], + [ + 5900743, + 30970217 + ], + [ + 57599860, + 68196201 + ], + [ + 95611926, + 94995982 + ], + [ + 88684193, + 8618465 + ], + [ + 7288839, + 69281903 + ], + [ + 9467878, + 15341480 + ], + [ + 53730990, + 73044717 + ], + [ + 64749849, + 10476145 + ], + [ + 98972125, + 68826088 + ], + [ + 12345530, + 22908665 + ], + [ + 96137348, + 96677364 + ], + [ + 14343467, + 32643377 + ], + [ + 14838411, + 5353878 + ], + [ + 53379659, + 94960752 + ], + [ + 58514547, + 41207447 + ], + [ + 33784729, + 59535494 + ], + [ + 85930783, + 36643947 + ], + [ + 35934673, + 6893782 + ], + [ + 99115565, + 1567237 + ], + [ + 43137578, + 37147816 + ], + [ + 84049876, + 77924112 + ], + [ + 86993598, + 97079741 + ], + [ + 83188847, + 79564485 + ], + [ + 16235651, + 60070825 + ], + [ + 76989742, + 93190774 + ], + [ + 76096051, + 13602622 + ], + [ + 46929015, + 30696712 + ], + [ + 4545195, + 37541463 + ], + [ + 27366307, + 98161572 + ], + [ + 69874184, + 37490945 + ], + [ + 2152834, + 96224063 + ], + [ + 17687725, + 39086919 + ], + [ + 6750814, + 80902440 + ], + [ + 24352987, + 58425333 + ], + [ + 21598824, + 26946629 + ], + [ + 92709126, + 50215104 + ], + [ + 39303025, + 40103012 + ], + [ + 58563468, + 24445062 + ], + [ + 43249838, + 96900873 + ], + [ + 58383670, + 68287050 + ], + [ + 26359051, + 58546540 + ], + [ + 11390868, + 42083041 + ], + [ + 30877694, + 33031537 + ], + [ + 38478421, + 40895371 + ], + [ + 14833434, + 44061360 + ], + [ + 43441566, + 66928935 + ], + [ + 80950274, + 10792518 + ], + [ + 28893541, + 80155801 + ], + [ + 40653803, + 46161906 + ], + [ + 53271556, + 23572693 + ], + [ + 95473006, + 92051520 + ], + [ + 7332565, + 78792931 + ], + [ + 9221966, + 65577196 + ], + [ + 95314452, + 53789147 + ], + [ + 52440271, + 44018272 + ], + [ + 73143117, + 52297547 + ], + [ + 73371721, + 55297467 + ], + [ + 25992833, + 80876621 + ], + [ + 59091408, + 36100781 + ], + [ + 48131668, + 1196676 + ], + [ + 62844658, + 74312208 + ], + [ + 56402231, + 45139454 + ], + [ + 31152997, + 69943529 + ], + [ + 67404929, + 79567629 + ], + [ + 71494785, + 71852409 + ], + [ + 3976248, + 28370370 + ], + [ + 72291260, + 98920561 + ], + [ + 79393650, + 11634565 + ], + [ + 64137602, + 65448910 + ], + [ + 8909102, + 62207102 + ], + [ + 55533944, + 33866195 + ], + [ + 89727864, + 92349424 + ], + [ + 44661378, + 70845606 + ], + [ + 4379949, + 95454508 + ], + [ + 77498491, + 89534610 + ], + [ + 78198556, + 33145182 + ], + [ + 76760201, + 3260441 + ], + [ + 9884030, + 34975867 + ], + [ + 47418199, + 70640291 + ], + [ + 76090104, + 8113967 + ], + [ + 95767477, + 61059092 + ], + [ + 32954126, + 29577402 + ], + [ + 64319000, + 25869703 + ], + [ + 38997214, + 10171883 + ], + [ + 95302651, + 7938178 + ], + [ + 6094809, + 46881108 + ], + [ + 7281763, + 94986560 + ], + [ + 95231016, + 19707681 + ], + [ + 75777570, + 66194650 + ], + [ + 29798966, + 26751238 + ], + [ + 45195634, + 1154904 + ], + [ + 22563960, + 71400197 + ], + [ + 13849557, + 31290806 + ], + [ + 21933226, + 42486832 + ], + [ + 1740029, + 4655431 + ], + [ + 70589469, + 66645211 + ], + [ + 55593839, + 26548356 + ], + [ + 66780752, + 36570132 + ], + [ + 12359214, + 24066734 + ], + [ + 39343409, + 89926887 + ], + [ + 13064406, + 40842628 + ], + [ + 38161744, + 60007162 + ], + [ + 68093267, + 20295939 + ], + [ + 77617804, + 44235475 + ], + [ + 10337340, + 11825554 + ], + [ + 17218435, + 55991488 + ], + [ + 31659377, + 91677109 + ], + [ + 97273820, + 44248264 + ], + [ + 40718298, + 2456856 + ], + [ + 55448914, + 9295373 + ], + [ + 77806308, + 81301338 + ], + [ + 50012131, + 3858744 + ], + [ + 58293311, + 99630626 + ], + [ + 97508113, + 63065681 + ], + [ + 15681648, + 36142248 + ], + [ + 18361428, + 3122170 + ], + [ + 85852145, + 28094707 + ], + [ + 35909154, + 73117681 + ], + [ + 8870392, + 65425536 + ], + [ + 85680290, + 15262786 + ], + [ + 46520790, + 96646139 + ], + [ + 98064954, + 53814828 + ], + [ + 95199869, + 20151550 + ], + [ + 31518916, + 47627492 + ], + [ + 92549868, + 2945396 + ], + [ + 56487331, + 61773115 + ], + [ + 22058334, + 89547287 + ], + [ + 83406934, + 39704316 + ], + [ + 97835726, + 20955616 + ], + [ + 88799065, + 2846358 + ], + [ + 36055906, + 10037385 + ], + [ + 35798833, + 52810081 + ], + [ + 46600437, + 64282648 + ], + [ + 98768069, + 51538375 + ], + [ + 86633514, + 30430486 + ], + [ + 59975536, + 81005143 + ], + [ + 39438878, + 47087165 + ], + [ + 88677463, + 53995878 + ], + [ + 59610803, + 97647052 + ], + [ + 20088799, + 90551242 + ], + [ + 79560712, + 20254252 + ], + [ + 32251008, + 56883535 + ], + [ + 50776674, + 66262524 + ], + [ + 23256654, + 34751822 + ], + [ + 72650698, + 22283573 + ], + [ + 81335482, + 69490820 + ], + [ + 63901829, + 64257405 + ], + [ + 54019592, + 11344860 + ], + [ + 96030744, + 23524409 + ], + [ + 42168204, + 24024813 + ], + [ + 39653390, + 83502219 + ], + [ + 81949153, + 47611430 + ], + [ + 45160261, + 81873403 + ], + [ + 93012903, + 56525533 + ], + [ + 30639910, + 38005626 + ], + [ + 93448577, + 61950357 + ], + [ + 25437850, + 11839353 + ], + [ + 28976473, + 67081799 + ], + [ + 96064486, + 40836832 + ], + [ + 54948283, + 11837802 + ], + [ + 37361098, + 73900838 + ], + [ + 76379671, + 5525674 + ], + [ + 13668853, + 44741141 + ], + [ + 8359816, + 81617289 + ], + [ + 15382769, + 8215455 + ], + [ + 40454726, + 97897890 + ], + [ + 44152798, + 98255302 + ], + [ + 57245363, + 35714519 + ], + [ + 54552898, + 11058534 + ], + [ + 54880016, + 94318594 + ], + [ + 99977364, + 58313794 + ], + [ + 76690428, + 85648554 + ], + [ + 52523058, + 9239395 + ], + [ + 46808101, + 78463280 + ], + [ + 1415916, + 16075053 + ], + [ + 33690859, + 22434218 + ], + [ + 51813606, + 63555558 + ], + [ + 56621214, + 19766847 + ], + [ + 53462608, + 34625833 + ], + [ + 60664302, + 62153459 + ], + [ + 8559279, + 73264836 + ], + [ + 70948778, + 30972854 + ], + [ + 18024284, + 98742278 + ], + [ + 82167159, + 64594105 + ], + [ + 47942393, + 39685737 + ], + [ + 34465006, + 13526801 + ], + [ + 48251867, + 8187339 + ], + [ + 40473995, + 4729270 + ], + [ + 26250844, + 60729615 + ], + [ + 26636918, + 61769750 + ], + [ + 64561873, + 59799433 + ], + [ + 75623952, + 42593977 + ], + [ + 75479073, + 92330328 + ], + [ + 86297151, + 49127702 + ], + [ + 19024739, + 76763915 + ], + [ + 37144131, + 69198954 + ], + [ + 77324854, + 35977264 + ], + [ + 46701783, + 58246167 + ], + [ + 2765197, + 18343537 + ], + [ + 54744954, + 1397966 + ], + [ + 68415906, + 40710947 + ], + [ + 61688310, + 25842974 + ], + [ + 99771750, + 52205446 + ], + [ + 85733797, + 79539474 + ], + [ + 31032984, + 30011075 + ], + [ + 35675743, + 81312405 + ], + [ + 14529318, + 80588011 + ], + [ + 50902503, + 63366906 + ], + [ + 40351282, + 35658549 + ], + [ + 27671012, + 86312387 + ], + [ + 13765912, + 98840272 + ], + [ + 61483170, + 29012990 + ], + [ + 93060828, + 19531303 + ], + [ + 49314520, + 88654799 + ], + [ + 31562124, + 63162080 + ], + [ + 57901630, + 64422019 + ], + [ + 60607374, + 96530221 + ], + [ + 80725827, + 68165849 + ], + [ + 78826815, + 50491138 + ], + [ + 87861609, + 81838029 + ], + [ + 68183122, + 72832181 + ], + [ + 89220562, + 18103877 + ], + [ + 77508077, + 5241928 + ], + [ + 13638184, + 32568784 + ], + [ + 85772572, + 54658944 + ], + [ + 30781023, + 82402926 + ], + [ + 871658, + 10193653 + ], + [ + 88906064, + 27678218 + ], + [ + 64216855, + 14877101 + ], + [ + 62616022, + 61387179 + ], + [ + 51603229, + 79298460 + ], + [ + 26316823, + 3967725 + ], + [ + 48899206, + 42597026 + ], + [ + 3522700, + 67002809 + ], + [ + 2049250, + 65467265 + ], + [ + 63281255, + 64376804 + ], + [ + 63572647, + 10629595 + ], + [ + 45802423, + 28095175 + ], + [ + 34296107, + 34656038 + ], + [ + 21562576, + 38454825 + ], + [ + 11755988, + 12768997 + ], + [ + 76335200, + 73016116 + ], + [ + 5357461, + 37809511 + ], + [ + 19442774, + 9245671 + ], + [ + 51332263, + 77802336 + ], + [ + 92568669, + 60746531 + ], + [ + 67779220, + 4644122 + ], + [ + 90441954, + 80789805 + ], + [ + 74058349, + 94378212 + ], + [ + 6426522, + 70926359 + ], + [ + 60185593, + 34849563 + ], + [ + 85091869, + 88364626 + ], + [ + 7389465, + 43482060 + ], + [ + 96493919, + 17548071 + ], + [ + 61952329, + 93001297 + ], + [ + 95885472, + 42997479 + ], + [ + 1335553, + 50323043 + ], + [ + 20002332, + 14192387 + ], + [ + 95310679, + 11555092 + ], + [ + 46956969, + 89110741 + ], + [ + 67733648, + 58406526 + ], + [ + 4914161, + 63728443 + ], + [ + 46424860, + 39565205 + ], + [ + 52609910, + 68634889 + ], + [ + 73168635, + 68355536 + ], + [ + 63466974, + 45768837 + ], + [ + 65778557, + 90032648 + ], + [ + 34682273, + 82136618 + ], + [ + 71199356, + 14307788 + ], + [ + 75831726, + 46617379 + ], + [ + 55714731, + 64458921 + ], + [ + 23563270, + 20148080 + ], + [ + 93211599, + 5002328 + ], + [ + 41632486, + 8649149 + ], + [ + 59574524, + 14424512 + ], + [ + 7834796, + 88604404 + ], + [ + 3580433, + 27990711 + ], + [ + 47682830, + 81613954 + ], + [ + 30298297, + 80354344 + ], + [ + 14228588, + 50212271 + ], + [ + 44705270, + 65868490 + ], + [ + 16653447, + 68718895 + ], + [ + 53192546, + 54206163 + ], + [ + 31877024, + 99031026 + ], + [ + 18481947, + 25290623 + ], + [ + 51852989, + 54096107 + ], + [ + 3183630, + 37361632 + ], + [ + 27837303, + 89608459 + ], + [ + 76859672, + 49377865 + ], + [ + 50054904, + 54100172 + ], + [ + 70127136, + 70135241 + ], + [ + 19916080, + 93852967 + ], + [ + 55311547, + 81341571 + ], + [ + 40192277, + 21191639 + ], + [ + 72570380, + 44480728 + ], + [ + 13234228, + 3221719 + ], + [ + 36274877, + 93843735 + ], + [ + 89857334, + 6159150 + ], + [ + 52042333, + 9027612 + ], + [ + 37415547, + 73221557 + ], + [ + 44241865, + 5114038 + ], + [ + 65783751, + 72743658 + ], + [ + 86313666, + 63290526 + ], + [ + 35669366, + 33177446 + ], + [ + 34388443, + 6187565 + ], + [ + 53296738, + 84154366 + ], + [ + 11445675, + 98945197 + ], + [ + 11644151, + 88017156 + ], + [ + 27585648, + 63856107 + ], + [ + 4700742, + 45751536 + ], + [ + 2794338, + 63178457 + ], + [ + 94258582, + 13948679 + ], + [ + 94973617, + 26625454 + ], + [ + 36224107, + 739746 + ], + [ + 2093079, + 93343634 + ], + [ + 59146486, + 44318370 + ], + [ + 11493774, + 86686031 + ], + [ + 45202360, + 60725597 + ], + [ + 82635603, + 455956 + ], + [ + 83470167, + 29108278 + ], + [ + 72888176, + 17831132 + ], + [ + 86735261, + 73499505 + ], + [ + 77823514, + 52285732 + ], + [ + 34333081, + 66614959 + ], + [ + 55755675, + 44375362 + ], + [ + 91153616, + 44680334 + ], + [ + 50509556, + 83242825 + ], + [ + 72866216, + 6022089 + ], + [ + 60125465, + 29230902 + ], + [ + 38396484, + 82079353 + ], + [ + 1036616, + 80804805 + ], + [ + 1368351, + 18313818 + ], + [ + 19300097, + 13220237 + ], + [ + 24592997, + 11705016 + ], + [ + 19921795, + 61051965 + ], + [ + 63063911, + 44217602 + ], + [ + 31567193, + 30575659 + ], + [ + 67468812, + 56219537 + ], + [ + 82473530, + 50231380 + ], + [ + 16530157, + 82379726 + ], + [ + 66739255, + 770428 + ], + [ + 92643660, + 68584294 + ], + [ + 54537681, + 85184653 + ], + [ + 1338337, + 83910345 + ], + [ + 41463917, + 56597559 + ], + [ + 85564702, + 40241804 + ], + [ + 24397579, + 92115665 + ], + [ + 89059239, + 47187368 + ], + [ + 53588821, + 95948739 + ], + [ + 35286389, + 28360933 + ], + [ + 62240567, + 49044235 + ], + [ + 84087533, + 639161 + ], + [ + 44109884, + 26495309 + ], + [ + 72822500, + 39226484 + ], + [ + 71339636, + 73634017 + ], + [ + 47563842, + 45738300 + ], + [ + 44763358, + 52121258 + ], + [ + 29281017, + 15076469 + ], + [ + 90874127, + 53941790 + ], + [ + 8925342, + 31016884 + ], + [ + 4456006, + 23745590 + ], + [ + 90752389, + 62163328 + ], + [ + 37048773, + 99057702 + ], + [ + 42490444, + 41221086 + ], + [ + 83369578, + 12399049 + ], + [ + 21996336, + 68707046 + ], + [ + 70470503, + 37889499 + ], + [ + 24830590, + 51809628 + ], + [ + 67331500, + 38761024 + ], + [ + 62522032, + 48373747 + ], + [ + 25807161, + 41415264 + ], + [ + 12524745, + 25976532 + ], + [ + 60269, + 90279863 + ], + [ + 20372274, + 21382358 + ], + [ + 78515710, + 49405360 + ], + [ + 64712661, + 35727298 + ], + [ + 51020999, + 82922685 + ], + [ + 66420878, + 71771455 + ], + [ + 48442140, + 94262846 + ], + [ + 32952608, + 89701602 + ], + [ + 88205873, + 24906680 + ], + [ + 78215252, + 65611087 + ], + [ + 93963164, + 68887500 + ], + [ + 47864073, + 58794035 + ], + [ + 11115968, + 42926694 + ], + [ + 34171753, + 43506049 + ], + [ + 97998420, + 6518691 + ], + [ + 93295450, + 39438347 + ], + [ + 91266732, + 54221393 + ], + [ + 31954046, + 56687342 + ], + [ + 36815590, + 33313581 + ], + [ + 82882523, + 84053956 + ], + [ + 81326567, + 67237249 + ], + [ + 54347153, + 78164426 + ], + [ + 58203701, + 13604161 + ], + [ + 53901032, + 24832685 + ], + [ + 45966357, + 45301179 + ], + [ + 7031724, + 63645062 + ], + [ + 65430764, + 56323512 + ], + [ + 69959440, + 77604198 + ], + [ + 96585196, + 59916687 + ], + [ + 96574302, + 89079146 + ], + [ + 20865596, + 28289699 + ], + [ + 72452319, + 76576527 + ], + [ + 15439880, + 50694401 + ], + [ + 61021717, + 71024482 + ], + [ + 85607074, + 43632546 + ], + [ + 96051891, + 26769576 + ], + [ + 90107804, + 2446309 + ], + [ + 93957412, + 54818506 + ], + [ + 1621320, + 18939803 + ], + [ + 45174516, + 14186748 + ], + [ + 69487776, + 47871264 + ], + [ + 32391021, + 3100189 + ], + [ + 94358842, + 3252487 + ], + [ + 7387433, + 70512629 + ], + [ + 45538674, + 88494351 + ], + [ + 58974344, + 47953762 + ], + [ + 58121485, + 4328773 + ], + [ + 34477803, + 76642967 + ], + [ + 63415381, + 86494553 + ], + [ + 38840952, + 54373256 + ], + [ + 67673229, + 76034978 + ], + [ + 76571030, + 99755406 + ], + [ + 6167355, + 22161397 + ], + [ + 24090508, + 87250322 + ], + [ + 18382682, + 93379289 + ], + [ + 72146762, + 66656772 + ], + [ + 89347197, + 37655556 + ], + [ + 47955668, + 43159647 + ], + [ + 45197772, + 47808730 + ], + [ + 87824880, + 86628204 + ], + [ + 84924959, + 89225858 + ], + [ + 60875225, + 26846108 + ], + [ + 9859950, + 36312168 + ], + [ + 34379320, + 65868663 + ], + [ + 97877119, + 81851277 + ], + [ + 65501866, + 54783551 + ], + [ + 94243176, + 55704245 + ], + [ + 27950764, + 33192848 + ], + [ + 32955078, + 29191480 + ], + [ + 44791027, + 54666397 + ], + [ + 68932356, + 19051849 + ], + [ + 15252532, + 84483216 + ], + [ + 75663094, + 93909389 + ], + [ + 38563414, + 27657194 + ], + [ + 87705315, + 67015083 + ], + [ + 71575598, + 91357247 + ], + [ + 56188368, + 17008799 + ], + [ + 86609512, + 55007611 + ], + [ + 27191556, + 52853818 + ], + [ + 28209598, + 59370449 + ], + [ + 78261845, + 4870130 + ], + [ + 7046030, + 83507775 + ], + [ + 58592468, + 12752876 + ], + [ + 18574272, + 15089516 + ], + [ + 12497449, + 95081920 + ], + [ + 56093858, + 88872705 + ], + [ + 27334896, + 70141511 + ], + [ + 13282782, + 8275246 + ], + [ + 34813195, + 74905178 + ], + [ + 21631147, + 16439437 + ], + [ + 56449551, + 80137066 + ], + [ + 61136239, + 96422770 + ], + [ + 12576092, + 91510893 + ], + [ + 44656221, + 18950470 + ], + [ + 42948600, + 81715763 + ], + [ + 32207592, + 28801745 + ], + [ + 46931846, + 95920790 + ], + [ + 61465798, + 97586370 + ], + [ + 41460076, + 50448751 + ], + [ + 80151505, + 42193786 + ], + [ + 19906150, + 17565384 + ], + [ + 88581073, + 92127927 + ], + [ + 1374090, + 60645502 + ], + [ + 27799683, + 39346867 + ], + [ + 4452413, + 92930660 + ], + [ + 38123049, + 36891093 + ], + [ + 16007989, + 24643900 + ], + [ + 47703329, + 23264192 + ], + [ + 42370971, + 99269286 + ], + [ + 49858651, + 41518849 + ], + [ + 601321, + 84939317 + ], + [ + 15649897, + 81905316 + ], + [ + 61351200, + 4028922 + ], + [ + 26893238, + 6934273 + ], + [ + 17442326, + 14048842 + ], + [ + 19995038, + 21147989 + ], + [ + 35545746, + 68315203 + ], + [ + 59549086, + 99402524 + ], + [ + 46164784, + 61858065 + ], + [ + 18770951, + 8445103 + ], + [ + 14590868, + 65845434 + ], + [ + 42014349, + 66361228 + ], + [ + 36618953, + 25826536 + ], + [ + 13053336, + 90605746 + ], + [ + 11485804, + 53036573 + ], + [ + 30457974, + 80331021 + ], + [ + 62901670, + 56837837 + ], + [ + 78285426, + 24316236 + ], + [ + 42613080, + 79658865 + ], + [ + 91408121, + 63457565 + ], + [ + 54625615, + 72504761 + ], + [ + 71941693, + 77310947 + ], + [ + 39245035, + 75596234 + ], + [ + 38677001, + 66976003 + ], + [ + 62258592, + 770407 + ], + [ + 14859661, + 2902457 + ], + [ + 68219237, + 63938827 + ], + [ + 8264167, + 24239166 + ], + [ + 76714633, + 83824730 + ], + [ + 65340049, + 9216589 + ], + [ + 97120278, + 63804866 + ], + [ + 96218756, + 38453172 + ], + [ + 45892425, + 84189105 + ], + [ + 16787002, + 95105998 + ], + [ + 21611402, + 47881966 + ], + [ + 28518240, + 54318755 + ], + [ + 92542177, + 76430641 + ], + [ + 43353154, + 85601108 + ], + [ + 59888559, + 68452521 + ], + [ + 48959785, + 20621435 + ], + [ + 75089404, + 54210887 + ], + [ + 85536893, + 72026996 + ], + [ + 51196080, + 84558798 + ], + [ + 44742855, + 83963319 + ], + [ + 31801830, + 88982751 + ], + [ + 24242990, + 59237730 + ], + [ + 55016505, + 7911501 + ], + [ + 29065489, + 8891066 + ], + [ + 51402006, + 95619142 + ], + [ + 35144611, + 76056460 + ], + [ + 86504188, + 83389721 + ], + [ + 35403495, + 54846034 + ], + [ + 81129593, + 75627959 + ], + [ + 33210731, + 21161867 + ], + [ + 56094833, + 26543285 + ], + [ + 68330982, + 7044022 + ], + [ + 20074019, + 37598226 + ], + [ + 31562616, + 40211134 + ], + [ + 81281797, + 112471 + ], + [ + 83243255, + 33430530 + ], + [ + 80365690, + 70093970 + ], + [ + 97437427, + 57522648 + ], + [ + 45210448, + 75658954 + ], + [ + 58840263, + 29114120 + ], + [ + 69868715, + 78574820 + ], + [ + 77424909, + 40608569 + ], + [ + 4469109, + 69668281 + ], + [ + 37019084, + 34689591 + ], + [ + 29919505, + 25978923 + ], + [ + 10177096, + 5923590 + ], + [ + 97417775, + 29347871 + ], + [ + 75973857, + 86058226 + ], + [ + 46467747, + 62039138 + ], + [ + 73592277, + 61165140 + ], + [ + 64088843, + 72916219 + ], + [ + 6088419, + 72453468 + ], + [ + 40083918, + 29717908 + ], + [ + 98180623, + 2433292 + ], + [ + 79863306, + 65025295 + ], + [ + 94237023, + 73782431 + ], + [ + 153222, + 9651955 + ], + [ + 3923508, + 45200946 + ], + [ + 32772525, + 3329146 + ], + [ + 49906203, + 32869655 + ], + [ + 40317644, + 64221568 + ], + [ + 637229, + 5194775 + ], + [ + 45031003, + 78404758 + ], + [ + 64295936, + 22603269 + ], + [ + 67759710, + 68781024 + ], + [ + 16485929, + 16001296 + ], + [ + 26247190, + 68053949 + ], + [ + 30522991, + 14284268 + ], + [ + 66582700, + 63904590 + ], + [ + 77367151, + 8036775 + ], + [ + 35089684, + 75325730 + ], + [ + 66283113, + 58462587 + ], + [ + 62548562, + 52167559 + ], + [ + 81032215, + 35408497 + ], + [ + 75301660, + 19545337 + ], + [ + 84231826, + 57071481 + ], + [ + 66917225, + 1254027 + ], + [ + 11750128, + 12649208 + ], + [ + 22991169, + 60324218 + ], + [ + 36599776, + 88184734 + ], + [ + 80838766, + 51898719 + ], + [ + 77095997, + 40706473 + ], + [ + 85672353, + 18006276 + ], + [ + 218891, + 4776456 + ], + [ + 93637709, + 31413611 + ], + [ + 53129886, + 40431342 + ], + [ + 74908482, + 73205004 + ], + [ + 14050369, + 2392335 + ], + [ + 53908879, + 96012731 + ], + [ + 93684735, + 96141361 + ], + [ + 21312317, + 35037420 + ], + [ + 76155782, + 7993489 + ], + [ + 64526073, + 25102452 + ], + [ + 49931808, + 22755134 + ], + [ + 73783758, + 70247613 + ], + [ + 83422067, + 35454595 + ], + [ + 25855166, + 94739185 + ], + [ + 46161439, + 39618782 + ], + [ + 91890088, + 52327303 + ], + [ + 23467594, + 77824118 + ], + [ + 42751604, + 59414952 + ], + [ + 25993625, + 59529083 + ], + [ + 47069681, + 2393168 + ], + [ + 50450747, + 29428456 + ], + [ + 69955863, + 97941544 + ], + [ + 98785942, + 97554560 + ], + [ + 55926562, + 32383892 + ], + [ + 96274252, + 9694354 + ], + [ + 77238131, + 44888811 + ], + [ + 50021978, + 69649415 + ], + [ + 18136202, + 43071445 + ], + [ + 32366749, + 14683084 + ], + [ + 85711454, + 17770826 + ], + [ + 75946998, + 68434476 + ], + [ + 6640905, + 25791725 + ], + [ + 2673694, + 59200103 + ], + [ + 65066031, + 56016898 + ], + [ + 24479868, + 36933832 + ], + [ + 15705649, + 86458857 + ], + [ + 77006474, + 71006876 + ], + [ + 58139716, + 9808722 + ], + [ + 58841613, + 96476875 + ], + [ + 40661882, + 45109022 + ], + [ + 78696175, + 62788115 + ], + [ + 86470463, + 23186832 + ], + [ + 92280504, + 30375022 + ], + [ + 63156403, + 53813511 + ], + [ + 73118043, + 14344005 + ], + [ + 62212784, + 71510505 + ], + [ + 21174490, + 9653119 + ], + [ + 54909607, + 12695969 + ], + [ + 99725698, + 35354443 + ], + [ + 54743755, + 34652802 + ], + [ + 35726593, + 89836933 + ], + [ + 85840495, + 74777220 + ], + [ + 73716554, + 69241727 + ], + [ + 30140015, + 28726036 + ], + [ + 33585247, + 62483791 + ], + [ + 89071763, + 22156852 + ], + [ + 89763316, + 64069379 + ], + [ + 34683650, + 28855689 + ], + [ + 41077690, + 45956290 + ], + [ + 83463707, + 77913812 + ], + [ + 94371564, + 57668344 + ], + [ + 61798068, + 21761276 + ], + [ + 19896904, + 42603868 + ], + [ + 54586647, + 72277749 + ], + [ + 13021685, + 36731446 + ], + [ + 56137948, + 3294687 + ], + [ + 18811369, + 59295345 + ], + [ + 29303389, + 79078808 + ], + [ + 59561005, + 8812324 + ], + [ + 73765696, + 82581839 + ], + [ + 20679848, + 68433296 + ], + [ + 2555240, + 49185386 + ], + [ + 90751692, + 73823182 + ], + [ + 37955635, + 68797458 + ], + [ + 8893712, + 66413891 + ], + [ + 5103462, + 38966970 + ], + [ + 48532290, + 75907851 + ], + [ + 53421440, + 24171822 + ], + [ + 81954667, + 48729906 + ], + [ + 45630598, + 24442816 + ], + [ + 17887219, + 26885082 + ], + [ + 65611570, + 90218982 + ], + [ + 88967867, + 95602071 + ], + [ + 68359184, + 74795024 + ], + [ + 18477476, + 13145352 + ], + [ + 24998832, + 94272874 + ], + [ + 88644170, + 1665371 + ], + [ + 75102003, + 86761635 + ], + [ + 80244075, + 21698489 + ], + [ + 76723196, + 64688688 + ], + [ + 43167999, + 43949718 + ], + [ + 99170943, + 84611084 + ], + [ + 69844056, + 62422874 + ], + [ + 85889683, + 4199944 + ], + [ + 71910110, + 57995140 + ], + [ + 66463114, + 86278818 + ], + [ + 94557148, + 29155474 + ], + [ + 98046423, + 56860312 + ], + [ + 49943398, + 74916466 + ], + [ + 28741209, + 14493614 + ], + [ + 62932607, + 44616100 + ], + [ + 63143127, + 6557243 + ], + [ + 92981148, + 5666117 + ], + [ + 6035523, + 92616656 + ], + [ + 35329951, + 33881402 + ], + [ + 93170363, + 46872066 + ], + [ + 86187189, + 30799993 + ], + [ + 45458426, + 53739303 + ], + [ + 89822701, + 13153718 + ], + [ + 9950431, + 44370257 + ], + [ + 24124472, + 40179680 + ], + [ + 31022052, + 96532361 + ], + [ + 53610968, + 87451323 + ], + [ + 71779610, + 13099567 + ], + [ + 98904717, + 88809302 + ], + [ + 47738844, + 44202743 + ], + [ + 92961599, + 19822137 + ], + [ + 52176493, + 2217405 + ], + [ + 83790045, + 71688818 + ], + [ + 13939187, + 92548837 + ], + [ + 25649198, + 60621760 + ], + [ + 54399723, + 80282764 + ], + [ + 1223578, + 49299088 + ], + [ + 3926835, + 9928158 + ], + [ + 63854368, + 60032607 + ], + [ + 18602024, + 40295782 + ], + [ + 50683735, + 64854322 + ], + [ + 79419532, + 55952357 + ], + [ + 53206649, + 41746329 + ], + [ + 61959718, + 2496924 + ], + [ + 24763001, + 78601619 + ], + [ + 3112445, + 77559453 + ], + [ + 30309712, + 72893626 + ], + [ + 20026998, + 12922308 + ], + [ + 10628147, + 72690833 + ], + [ + 97423818, + 75827593 + ], + [ + 45767446, + 88590378 + ], + [ + 85861878, + 30722181 + ], + [ + 92942883, + 56219240 + ], + [ + 91844406, + 47896342 + ], + [ + 4894710, + 6292146 + ], + [ + 68471982, + 46376957 + ], + [ + 26471770, + 83980996 + ], + [ + 66484430, + 56840962 + ], + [ + 89612198, + 71381890 + ], + [ + 54045507, + 99977128 + ], + [ + 9072062, + 21070482 + ], + [ + 37329237, + 2951651 + ], + [ + 3638963, + 70675935 + ], + [ + 81683015, + 25222601 + ], + [ + 4579912, + 1371808 + ], + [ + 62677231, + 16455826 + ], + [ + 32805327, + 11943407 + ], + [ + 41972684, + 67846569 + ], + [ + 61266389, + 5860931 + ], + [ + 77313691, + 60991433 + ], + [ + 13616838, + 84124227 + ], + [ + 82154878, + 55198505 + ], + [ + 838909, + 4045741 + ], + [ + 4045742, + 15750203 + ], + [ + 56706587, + 1630153 + ], + [ + 79618445, + 94089762 + ], + [ + 53991775, + 54828409 + ], + [ + 8391451, + 7087290 + ], + [ + 87755313, + 35776084 + ], + [ + 97159536, + 22506059 + ], + [ + 12729708, + 2680130 + ], + [ + 15880984, + 86634166 + ], + [ + 98346803, + 37936746 + ], + [ + 71833268, + 30587630 + ], + [ + 55793411, + 85249029 + ], + [ + 89168350, + 64661919 + ], + [ + 68096349, + 4318333 + ], + [ + 24742497, + 9337007 + ], + [ + 71832264, + 48626009 + ], + [ + 65281364, + 46808775 + ], + [ + 25930049, + 99743377 + ], + [ + 30932039, + 21742875 + ], + [ + 40006673, + 38642279 + ], + [ + 73641674, + 538387 + ], + [ + 38978601, + 73781992 + ], + [ + 13676838, + 49287785 + ], + [ + 74726543, + 68150003 + ], + [ + 70946179, + 33512225 + ], + [ + 75862233, + 13486631 + ], + [ + 63499823, + 4329658 + ], + [ + 96436445, + 1797579 + ], + [ + 49182110, + 55835277 + ], + [ + 30470057, + 56669807 + ], + [ + 21780098, + 14755228 + ], + [ + 77702553, + 83225140 + ], + [ + 76986446, + 68506440 + ], + [ + 26643157, + 22725331 + ], + [ + 84196079, + 91844045 + ], + [ + 54409873, + 56330980 + ], + [ + 57253007, + 82889619 + ], + [ + 94146344, + 73942646 + ], + [ + 27046731, + 68610733 + ], + [ + 93596577, + 54506072 + ], + [ + 18166240, + 44778604 + ], + [ + 11116829, + 72927162 + ], + [ + 45987218, + 57807450 + ], + [ + 44307756, + 61206377 + ], + [ + 41994343, + 87655169 + ], + [ + 30882461, + 26762436 + ], + [ + 45772343, + 75261380 + ], + [ + 61129030, + 96809531 + ], + [ + 60698632, + 6802342 + ], + [ + 67076982, + 9793235 + ], + [ + 24500582, + 49537802 + ], + [ + 75461566, + 55878219 + ], + [ + 97195687, + 71105711 + ], + [ + 55682012, + 40136915 + ], + [ + 66025493, + 36165680 + ], + [ + 2976371, + 80520939 + ], + [ + 39114254, + 69543713 + ], + [ + 10062765, + 81798638 + ], + [ + 1768436, + 6921010 + ], + [ + 86638724, + 91396282 + ], + [ + 6060283, + 25262424 + ], + [ + 37726907, + 60711446 + ], + [ + 22449780, + 51989631 + ], + [ + 14024471, + 42823395 + ], + [ + 8340451, + 33660370 + ], + [ + 85622517, + 19000111 + ], + [ + 15520461, + 28327843 + ], + [ + 79326296, + 188657 + ], + [ + 91903494, + 66454933 + ], + [ + 60472210, + 91531588 + ], + [ + 60067356, + 16858483 + ], + [ + 26988069, + 56854893 + ], + [ + 33828182, + 37627480 + ], + [ + 54159165, + 25124643 + ], + [ + 13455810, + 39308874 + ], + [ + 80599305, + 85557831 + ], + [ + 21524216, + 63041449 + ], + [ + 81910782, + 31245133 + ], + [ + 13207797, + 24929400 + ], + [ + 89518522, + 20637530 + ], + [ + 18144434, + 2283122 + ], + [ + 26861190, + 71273167 + ], + [ + 22105031, + 39126235 + ], + [ + 14205252, + 71446598 + ], + [ + 54013108, + 59184437 + ], + [ + 2524311, + 54165112 + ], + [ + 81289422, + 79803572 + ], + [ + 50225312, + 30867135 + ], + [ + 74468849, + 84758658 + ], + [ + 54731830, + 89040149 + ], + [ + 69722795, + 82553959 + ], + [ + 82465279, + 30030692 + ], + [ + 60927240, + 34642658 + ], + [ + 10199865, + 77475461 + ], + [ + 76857353, + 96068337 + ], + [ + 43246961, + 30979988 + ], + [ + 75521569, + 83639919 + ], + [ + 35271560, + 39165963 + ], + [ + 47182349, + 62818136 + ], + [ + 38007408, + 59400902 + ], + [ + 28385695, + 50452305 + ], + [ + 87240073, + 68083311 + ], + [ + 99657991, + 42154220 + ], + [ + 40687270, + 33720572 + ], + [ + 50857814, + 71118687 + ], + [ + 79953788, + 39943915 + ], + [ + 21146492, + 63225338 + ], + [ + 82071080, + 80190410 + ], + [ + 62392645, + 11278232 + ], + [ + 44818742, + 477975 + ], + [ + 82669637, + 78696828 + ], + [ + 91207410, + 34392833 + ], + [ + 52111344, + 33655686 + ], + [ + 46239467, + 50728301 + ], + [ + 72572447, + 98382801 + ], + [ + 89206750, + 4750270 + ], + [ + 48111684, + 42694630 + ], + [ + 3288466, + 27778437 + ], + [ + 78578446, + 40417435 + ], + [ + 53818192, + 29155706 + ], + [ + 84073461, + 47307730 + ], + [ + 14265290, + 21228909 + ], + [ + 17329761, + 29604792 + ], + [ + 22743743, + 74775730 + ], + [ + 37095054, + 19500151 + ], + [ + 87794724, + 57952303 + ], + [ + 47619613, + 81844684 + ], + [ + 10525101, + 77236329 + ], + [ + 62240853, + 73264924 + ], + [ + 19566800, + 1908436 + ], + [ + 17109195, + 69375617 + ], + [ + 57561425, + 48770500 + ], + [ + 60420228, + 55022779 + ], + [ + 44993416, + 9035815 + ], + [ + 15523680, + 77543972 + ], + [ + 84441070, + 14134007 + ], + [ + 36429691, + 28569309 + ], + [ + 28330343, + 40903904 + ], + [ + 2211570, + 10819963 + ], + [ + 92713401, + 89813152 + ], + [ + 13563238, + 99280171 + ], + [ + 72955309, + 43200029 + ], + [ + 98688635, + 7042983 + ], + [ + 92918378, + 18078794 + ], + [ + 55043315, + 24155104 + ], + [ + 87322596, + 44494288 + ], + [ + 52154264, + 68440757 + ], + [ + 28913032, + 27372173 + ], + [ + 72814176, + 29592656 + ], + [ + 17498058, + 55781339 + ], + [ + 51327747, + 42754436 + ], + [ + 5377561, + 33901083 + ], + [ + 57341592, + 28740252 + ], + [ + 37620530, + 75154926 + ], + [ + 65187718, + 45713432 + ], + [ + 49435993, + 60613139 + ], + [ + 75037970, + 25762349 + ], + [ + 71021663, + 94279168 + ], + [ + 12244039, + 25432780 + ], + [ + 681690, + 69974384 + ], + [ + 94535896, + 24953879 + ], + [ + 88225673, + 33756038 + ], + [ + 19262088, + 17819630 + ], + [ + 78716372, + 93531692 + ], + [ + 56562197, + 79045926 + ], + [ + 5870366, + 77996209 + ], + [ + 47651038, + 57377699 + ], + [ + 36911315, + 27021525 + ], + [ + 57000984, + 67268852 + ], + [ + 97996435, + 4207648 + ], + [ + 48446671, + 27319741 + ], + [ + 44166065, + 20285479 + ], + [ + 78743613, + 18033480 + ], + [ + 3242123, + 77635718 + ], + [ + 25399300, + 43826350 + ], + [ + 89706812, + 15695661 + ], + [ + 21758958, + 32901942 + ], + [ + 82610504, + 77211997 + ], + [ + 39438426, + 62625590 + ], + [ + 63536042, + 96257555 + ], + [ + 68680575, + 66639777 + ], + [ + 8096985, + 45977734 + ], + [ + 68461245, + 30201481 + ], + [ + 59269778, + 45223808 + ], + [ + 58330375, + 57783276 + ], + [ + 6969863, + 48249557 + ], + [ + 63344630, + 20787278 + ], + [ + 80364817, + 36498626 + ], + [ + 79817974, + 31524437 + ], + [ + 63720728, + 82154710 + ], + [ + 41710871, + 55735726 + ], + [ + 82444748, + 4734327 + ], + [ + 6632337, + 34761075 + ], + [ + 92273457, + 41806621 + ], + [ + 32881286, + 33709088 + ], + [ + 98485711, + 76688378 + ], + [ + 54663674, + 43689857 + ], + [ + 19891749, + 50184817 + ], + [ + 9556817, + 85009446 + ], + [ + 39222833, + 52502165 + ], + [ + 51223189, + 75640836 + ], + [ + 48922913, + 37321160 + ], + [ + 26038349, + 17700379 + ], + [ + 41948677, + 93067578 + ], + [ + 89967970, + 89884625 + ], + [ + 6240984, + 74140403 + ], + [ + 50778152, + 23392663 + ], + [ + 46253037, + 35302242 + ], + [ + 1769910, + 75598232 + ], + [ + 95610705, + 73990234 + ], + [ + 27282829, + 5309225 + ], + [ + 83648706, + 34222117 + ], + [ + 77696244, + 73086969 + ], + [ + 99283627, + 98758615 + ], + [ + 91623401, + 21180198 + ], + [ + 86661900, + 34927316 + ], + [ + 10722360, + 30891747 + ], + [ + 84728797, + 40120827 + ], + [ + 87070773, + 30404590 + ], + [ + 13366628, + 79995286 + ], + [ + 63165638, + 90941356 + ], + [ + 62871634, + 87662271 + ], + [ + 28061127, + 79424075 + ], + [ + 36946265, + 32451999 + ], + [ + 59467831, + 88909795 + ], + [ + 96479548, + 29895819 + ], + [ + 72716291, + 33031842 + ], + [ + 23210567, + 38476977 + ], + [ + 13333845, + 55472613 + ], + [ + 86630345, + 80969268 + ], + [ + 7131150, + 55446058 + ], + [ + 55575465, + 45245340 + ], + [ + 85833659, + 74548543 + ], + [ + 74567029, + 25088011 + ], + [ + 39880381, + 12280253 + ], + [ + 57346487, + 6611076 + ], + [ + 53680548, + 7317065 + ], + [ + 3762866, + 96224363 + ], + [ + 86105966, + 90233338 + ], + [ + 67108359, + 73610449 + ], + [ + 53707516, + 51644468 + ], + [ + 11157949, + 47682125 + ], + [ + 39907319, + 86574737 + ], + [ + 44703407, + 79044934 + ], + [ + 12027964, + 93895283 + ], + [ + 80178333, + 59511977 + ], + [ + 19698781, + 55087466 + ], + [ + 10001542, + 86202107 + ], + [ + 57715741, + 25005290 + ], + [ + 95440885, + 44490473 + ], + [ + 399737, + 19004954 + ], + [ + 5229087, + 95895391 + ], + [ + 75481124, + 17170841 + ], + [ + 18975881, + 47811573 + ], + [ + 70744055, + 57248897 + ], + [ + 64561495, + 8002117 + ], + [ + 92870077, + 28201590 + ], + [ + 70432818, + 46696803 + ], + [ + 59943339, + 57083606 + ], + [ + 5283356, + 19764122 + ], + [ + 30176638, + 66782009 + ], + [ + 74323753, + 51485885 + ], + [ + 72202072, + 4962657 + ], + [ + 92723420, + 89571622 + ], + [ + 3474808, + 33443872 + ], + [ + 83743977, + 47852817 + ], + [ + 4771785, + 72004747 + ], + [ + 31225328, + 72612691 + ], + [ + 39991698, + 47887874 + ], + [ + 66739255, + 53439240 + ], + [ + 29465058, + 9846593 + ], + [ + 78306498, + 54744429 + ], + [ + 3122641, + 50496437 + ], + [ + 59155223, + 24514663 + ], + [ + 1035206, + 9860737 + ], + [ + 7349095, + 16926492 + ], + [ + 91619215, + 64186374 + ], + [ + 88170897, + 13452746 + ], + [ + 97554362, + 93647974 + ], + [ + 78422498, + 81672732 + ], + [ + 18481502, + 48954870 + ], + [ + 84571379, + 22608815 + ], + [ + 29777058, + 9165653 + ], + [ + 3240237, + 76861697 + ], + [ + 45588572, + 45203912 + ], + [ + 4996465, + 8277196 + ], + [ + 24720178, + 57634052 + ], + [ + 66281443, + 58568714 + ], + [ + 20428296, + 69885316 + ], + [ + 72855866, + 90447165 + ], + [ + 12083110, + 60119403 + ], + [ + 28462273, + 51497435 + ], + [ + 34660933, + 52160233 + ], + [ + 25691358, + 71522359 + ], + [ + 62226278, + 36573820 + ], + [ + 73284671, + 1968677 + ], + [ + 22359003, + 47376933 + ], + [ + 55003359, + 87375285 + ], + [ + 98201671, + 48502346 + ], + [ + 22873564, + 94665794 + ], + [ + 76170961, + 16561232 + ], + [ + 54863355, + 83477201 + ], + [ + 82568470, + 67327417 + ], + [ + 83961092, + 48096114 + ], + [ + 50152711, + 20025090 + ], + [ + 65713525, + 62964839 + ], + [ + 8867714, + 86630499 + ], + [ + 12943193, + 9792010 + ], + [ + 28930754, + 9560347 + ], + [ + 90010852, + 5086080 + ], + [ + 99999269, + 24191890 + ], + [ + 89508883, + 5731554 + ], + [ + 39077572, + 32100906 + ], + [ + 82640052, + 92624484 + ], + [ + 81370475, + 95582323 + ], + [ + 36033106, + 21257886 + ], + [ + 18765925, + 36407881 + ], + [ + 50572970, + 88534119 + ], + [ + 94121578, + 66826706 + ], + [ + 90231341, + 53279738 + ], + [ + 32633461, + 38313755 + ], + [ + 62089485, + 16655000 + ], + [ + 75057132, + 68756017 + ], + [ + 12952044, + 36610339 + ], + [ + 61245753, + 48689234 + ], + [ + 56422250, + 34751913 + ], + [ + 33319833, + 32443407 + ], + [ + 7607433, + 49051173 + ], + [ + 58099060, + 2847825 + ], + [ + 37635438, + 97738841 + ], + [ + 12828310, + 1845426 + ], + [ + 56440510, + 34590075 + ], + [ + 96216094, + 16554126 + ], + [ + 50313137, + 22560681 + ], + [ + 42898778, + 70586949 + ], + [ + 70955743, + 24548619 + ], + [ + 89197869, + 47285509 + ], + [ + 2396896, + 72336435 + ], + [ + 37481635, + 97054417 + ], + [ + 46200444, + 30576109 + ], + [ + 12854396, + 2839134 + ], + [ + 18738172, + 63216747 + ], + [ + 89612801, + 58639486 + ], + [ + 4488807, + 33624482 + ], + [ + 36195047, + 70531659 + ], + [ + 61602734, + 68339774 + ], + [ + 61066932, + 3729281 + ], + [ + 14459670, + 19542513 + ], + [ + 21717436, + 24448739 + ], + [ + 821485, + 1698439 + ], + [ + 75855249, + 71957763 + ], + [ + 89387173, + 10400579 + ], + [ + 531245, + 72010778 + ], + [ + 68617221, + 57782113 + ], + [ + 23712898, + 52983258 + ], + [ + 52536821, + 26704969 + ], + [ + 9501590, + 83474338 + ], + [ + 21488797, + 41885743 + ], + [ + 78051545, + 78530648 + ], + [ + 44767846, + 84866439 + ], + [ + 13541061, + 59237185 + ], + [ + 69725047, + 39930670 + ], + [ + 38487595, + 89712577 + ], + [ + 42541619, + 81938884 + ], + [ + 8400420, + 81994641 + ], + [ + 87750544, + 27852712 + ], + [ + 69475080, + 66983471 + ], + [ + 68748937, + 8104699 + ], + [ + 33009163, + 44869674 + ], + [ + 3303973, + 90258426 + ], + [ + 25022285, + 60821145 + ], + [ + 11405225, + 39004806 + ], + [ + 57949628, + 50742357 + ], + [ + 73673202, + 2286709 + ], + [ + 9091025, + 368410 + ], + [ + 67551987, + 78568152 + ], + [ + 39552839, + 8865045 + ], + [ + 14422870, + 39233252 + ], + [ + 70485163, + 58084715 + ], + [ + 10789646, + 55669493 + ], + [ + 45927990, + 81952451 + ], + [ + 9557021, + 97100743 + ], + [ + 14159341, + 19514138 + ], + [ + 30386361, + 95910484 + ], + [ + 12048741, + 40189522 + ], + [ + 43981290, + 83214209 + ], + [ + 58329416, + 43120619 + ], + [ + 94756557, + 45362192 + ], + [ + 87657247, + 7779915 + ], + [ + 24393555, + 1985194 + ], + [ + 51946720, + 41178985 + ], + [ + 29010369, + 21601784 + ], + [ + 35973530, + 37527536 + ], + [ + 98380655, + 3408782 + ], + [ + 93129083, + 48697866 + ], + [ + 22272639, + 10175714 + ], + [ + 57377223, + 91244242 + ], + [ + 99868532, + 47767404 + ], + [ + 76881631, + 10427682 + ], + [ + 10065048, + 79959287 + ], + [ + 98271196, + 10039640 + ], + [ + 46188180, + 18321566 + ], + [ + 59880251, + 49918484 + ], + [ + 71677558, + 41078593 + ], + [ + 83045323, + 88104537 + ], + [ + 55356085, + 89293217 + ], + [ + 19208109, + 59195287 + ], + [ + 8302213, + 68267551 + ], + [ + 91460919, + 40110276 + ], + [ + 76600147, + 71781971 + ], + [ + 21121799, + 53786152 + ], + [ + 84933745, + 37174660 + ], + [ + 25375327, + 79569816 + ], + [ + 3024216, + 47333255 + ], + [ + 66544968, + 10633463 + ], + [ + 35255395, + 4314905 + ], + [ + 23730268, + 58384398 + ], + [ + 59642033, + 62548066 + ], + [ + 42109065, + 32356577 + ], + [ + 93958392, + 85201347 + ], + [ + 75126063, + 54725084 + ], + [ + 71904662, + 22673731 + ], + [ + 29347312, + 36469484 + ], + [ + 1512546, + 31786359 + ], + [ + 67977617, + 91526619 + ], + [ + 19838190, + 64708457 + ], + [ + 33204661, + 95217034 + ], + [ + 94430453, + 37816989 + ], + [ + 21365578, + 26793026 + ], + [ + 90655142, + 64753670 + ], + [ + 80309402, + 9012323 + ], + [ + 4105434, + 24673569 + ], + [ + 42611234, + 10192055 + ], + [ + 61638696, + 88897671 + ], + [ + 1131338, + 50317108 + ], + [ + 82687285, + 58638060 + ], + [ + 49572282, + 63449352 + ], + [ + 26038622, + 83260649 + ], + [ + 42902824, + 54994763 + ], + [ + 8856760, + 83523636 + ], + [ + 43575912, + 85785535 + ], + [ + 52964199, + 26668521 + ], + [ + 67067900, + 28267262 + ], + [ + 26296859, + 26133553 + ], + [ + 63760811, + 78028555 + ], + [ + 47952066, + 54201024 + ], + [ + 69878080, + 89031043 + ], + [ + 9370663, + 61001868 + ], + [ + 31882965, + 88477669 + ], + [ + 50834142, + 16253461 + ], + [ + 84142557, + 60093274 + ], + [ + 40610776, + 76363483 + ], + [ + 42366423, + 87130685 + ], + [ + 12867304, + 18243961 + ], + [ + 12901787, + 90093491 + ], + [ + 18533498, + 55741242 + ], + [ + 58497556, + 66860947 + ], + [ + 88951847, + 86343039 + ], + [ + 34132885, + 60142849 + ], + [ + 9962985, + 86282666 + ], + [ + 83506269, + 23099289 + ], + [ + 71693435, + 29768353 + ], + [ + 16464994, + 30754673 + ], + [ + 94554650, + 53089697 + ], + [ + 74171071, + 11659723 + ], + [ + 87939762, + 37523159 + ], + [ + 77491109, + 4867288 + ], + [ + 73019236, + 86383543 + ], + [ + 75354941, + 49657891 + ], + [ + 31039934, + 3987948 + ], + [ + 19871375, + 68450403 + ], + [ + 21294207, + 16470329 + ], + [ + 85696011, + 14768383 + ], + [ + 14851723, + 43349766 + ], + [ + 53563195, + 38696088 + ], + [ + 57635735, + 41420027 + ], + [ + 44420999, + 92013012 + ], + [ + 51113861, + 4898529 + ], + [ + 96823698, + 15932914 + ], + [ + 24275217, + 98927829 + ], + [ + 82325032, + 65776766 + ], + [ + 90153340, + 13100230 + ], + [ + 29165506, + 43103620 + ], + [ + 94000467, + 29350926 + ], + [ + 33543659, + 7560401 + ], + [ + 20953168, + 27031843 + ], + [ + 44066414, + 41018557 + ], + [ + 13829862, + 59244399 + ], + [ + 10838072, + 34718404 + ], + [ + 24779237, + 22077116 + ], + [ + 75198888, + 97657432 + ], + [ + 39529247, + 23513100 + ], + [ + 8428012, + 12897890 + ], + [ + 81673523, + 68999570 + ], + [ + 227991, + 3282175 + ], + [ + 23907393, + 85110166 + ], + [ + 32346524, + 98664623 + ], + [ + 66228157, + 80316453 + ], + [ + 2534613, + 69495661 + ], + [ + 45113235, + 63643347 + ], + [ + 26928107, + 69050612 + ], + [ + 890884, + 79494303 + ], + [ + 7058074, + 72238322 + ], + [ + 33818509, + 19933740 + ], + [ + 93765928, + 50698433 + ], + [ + 44212226, + 2529557 + ], + [ + 83124864, + 13614640 + ], + [ + 25587030, + 75293524 + ], + [ + 53463298, + 2519521 + ], + [ + 68012926, + 83019066 + ], + [ + 50436992, + 48221200 + ], + [ + 95160858, + 72644755 + ], + [ + 97370245, + 96740333 + ], + [ + 61702860, + 712784 + ], + [ + 8558508, + 47176878 + ], + [ + 68938323, + 14115854 + ], + [ + 18354202, + 67653360 + ], + [ + 6040429, + 10751461 + ], + [ + 92037585, + 92470114 + ], + [ + 50690392, + 60476392 + ], + [ + 71500445, + 99829011 + ], + [ + 61085872, + 44072419 + ], + [ + 2973111, + 3843095 + ], + [ + 94358574, + 83242140 + ], + [ + 17163660, + 37209007 + ], + [ + 3939919, + 18315239 + ], + [ + 11560869, + 69683362 + ], + [ + 90616708, + 37187345 + ], + [ + 23632316, + 13038666 + ], + [ + 14759102, + 38267575 + ], + [ + 34269701, + 38561849 + ], + [ + 17026985, + 3294380 + ], + [ + 57658542, + 59688771 + ], + [ + 10169841, + 86409506 + ], + [ + 91880167, + 66149258 + ], + [ + 64370567, + 74686135 + ], + [ + 664489, + 40652154 + ], + [ + 66986811, + 42289224 + ], + [ + 50182138, + 78902353 + ], + [ + 35548362, + 6679299 + ], + [ + 92496824, + 90472092 + ], + [ + 87002897, + 16918964 + ], + [ + 48207788, + 51563273 + ], + [ + 66124121, + 88766684 + ], + [ + 40362743, + 4479444 + ], + [ + 54102484, + 21432891 + ], + [ + 89788935, + 67337263 + ], + [ + 4192631, + 60397551 + ], + [ + 97480085, + 87447391 + ], + [ + 92660564, + 18015587 + ], + [ + 26573865, + 80757618 + ], + [ + 88844830, + 82843985 + ], + [ + 17668477, + 27340032 + ], + [ + 81259610, + 28023016 + ], + [ + 8211038, + 53816939 + ], + [ + 83511031, + 81466949 + ], + [ + 67973599, + 21533841 + ], + [ + 94299676, + 32519485 + ], + [ + 2353882, + 36305044 + ], + [ + 91677761, + 56226804 + ], + [ + 82999734, + 74555144 + ], + [ + 43961393, + 19080792 + ], + [ + 63240889, + 46407479 + ], + [ + 61439794, + 64236542 + ], + [ + 52317778, + 43823735 + ], + [ + 54418525, + 40408243 + ], + [ + 63735990, + 29124026 + ], + [ + 38798008, + 44940730 + ], + [ + 92404663, + 67108615 + ], + [ + 57545842, + 5194311 + ], + [ + 14602480, + 17578377 + ], + [ + 19971316, + 91909335 + ], + [ + 47985094, + 40631054 + ], + [ + 40265902, + 22934909 + ], + [ + 58028551, + 81340746 + ], + [ + 67383837, + 31944861 + ], + [ + 78678710, + 15270813 + ], + [ + 36751931, + 60987974 + ], + [ + 43762652, + 19886582 + ], + [ + 38666181, + 74900701 + ], + [ + 49528340, + 66678715 + ], + [ + 13615696, + 76551093 + ], + [ + 19175547, + 50022380 + ], + [ + 76798196, + 83321690 + ], + [ + 44492293, + 29468973 + ], + [ + 93017972, + 54534895 + ], + [ + 5916686, + 92988137 + ], + [ + 84329292, + 43538032 + ], + [ + 74994660, + 86857370 + ], + [ + 46376820, + 94536655 + ], + [ + 99762152, + 14650953 + ], + [ + 97205960, + 6028680 + ], + [ + 25469090, + 75544641 + ], + [ + 3395283, + 95830774 + ], + [ + 38244155, + 92030993 + ], + [ + 99747250, + 92610110 + ], + [ + 10095624, + 37737127 + ], + [ + 72671413, + 42124900 + ], + [ + 8194451, + 37526421 + ], + [ + 828524, + 26672406 + ], + [ + 60701839, + 55824050 + ], + [ + 23634144, + 40047605 + ], + [ + 51155412, + 73834240 + ], + [ + 12459388, + 89772665 + ], + [ + 97787819, + 42375205 + ], + [ + 88904381, + 3636293 + ], + [ + 57268279, + 21937243 + ], + [ + 76250700, + 38782452 + ], + [ + 60566231, + 73765402 + ], + [ + 25369329, + 2079876 + ], + [ + 66406335, + 69137087 + ], + [ + 57404697, + 28259935 + ], + [ + 92562211, + 52336496 + ], + [ + 9725601, + 54969729 + ], + [ + 80240794, + 66924501 + ], + [ + 42847279, + 28013262 + ], + [ + 89339186, + 1329657 + ], + [ + 37169584, + 66145557 + ], + [ + 16634973, + 79064783 + ], + [ + 13525348, + 34164751 + ], + [ + 28619246, + 34745581 + ], + [ + 85839756, + 52369033 + ], + [ + 61020478, + 93993113 + ], + [ + 80104708, + 48856468 + ], + [ + 29645617, + 18018985 + ], + [ + 63604239, + 30776784 + ], + [ + 18721957, + 55571418 + ], + [ + 68709920, + 86732150 + ], + [ + 61945057, + 81770805 + ], + [ + 17933232, + 40200048 + ], + [ + 49801570, + 46299185 + ], + [ + 86559411, + 95096156 + ], + [ + 47312327, + 21399765 + ], + [ + 56541852, + 36638554 + ], + [ + 22441813, + 81957023 + ], + [ + 8521521, + 97801177 + ], + [ + 92177493, + 35220191 + ], + [ + 98564283, + 80188037 + ], + [ + 63977825, + 39029294 + ], + [ + 16356833, + 2378898 + ], + [ + 45121418, + 18435920 + ], + [ + 20300073, + 80157944 + ], + [ + 8363523, + 49611573 + ], + [ + 52033633, + 17755543 + ], + [ + 27040996, + 61182550 + ], + [ + 45749789, + 7478705 + ], + [ + 50520433, + 90997446 + ], + [ + 51484461, + 14069531 + ], + [ + 70294614, + 69320083 + ], + [ + 449919, + 93389295 + ], + [ + 82492423, + 24289014 + ], + [ + 41601256, + 44728267 + ], + [ + 22259264, + 40933289 + ], + [ + 63593300, + 57996874 + ], + [ + 2892536, + 97508675 + ], + [ + 52960903, + 4983538 + ], + [ + 46951830, + 44792246 + ], + [ + 68194043, + 11650316 + ], + [ + 23317521, + 58399431 + ], + [ + 83143854, + 89012605 + ], + [ + 35347425, + 46879303 + ], + [ + 59150199, + 65643753 + ], + [ + 80326920, + 28565521 + ], + [ + 41105068, + 930229 + ], + [ + 54807871, + 87819018 + ], + [ + 81162694, + 92473112 + ], + [ + 39400701, + 88927092 + ], + [ + 19590296, + 47222594 + ], + [ + 69913493, + 6831201 + ], + [ + 8534382, + 25809265 + ], + [ + 82378391, + 43582166 + ], + [ + 43104546, + 12422397 + ], + [ + 31060400, + 34928289 + ], + [ + 80626912, + 77395108 + ], + [ + 34982688, + 14085743 + ], + [ + 74909288, + 95651339 + ], + [ + 75801822, + 24209661 + ], + [ + 38829897, + 46627535 + ], + [ + 20868735, + 76962258 + ], + [ + 35330168, + 43344767 + ], + [ + 28053899, + 3414951 + ], + [ + 5399366, + 34234164 + ], + [ + 90377061, + 48094497 + ], + [ + 53182661, + 94017486 + ], + [ + 34816895, + 52964586 + ], + [ + 85163035, + 70726255 + ], + [ + 33777660, + 35811738 + ], + [ + 84313954, + 11075767 + ], + [ + 83189985, + 2130332 + ], + [ + 99795524, + 65191455 + ], + [ + 2769429, + 72913510 + ], + [ + 85851358, + 95174560 + ], + [ + 85000262, + 60518134 + ], + [ + 91330861, + 99628844 + ], + [ + 78483393, + 15276414 + ], + [ + 97258630, + 71886163 + ], + [ + 64752013, + 69548963 + ], + [ + 93315232, + 96284973 + ], + [ + 35893465, + 14554378 + ], + [ + 30425912, + 69654117 + ], + [ + 60211774, + 19606527 + ], + [ + 64389189, + 87587041 + ], + [ + 63720633, + 5815159 + ], + [ + 45127816, + 96066491 + ], + [ + 38339163, + 85878015 + ], + [ + 58659342, + 74242347 + ], + [ + 10138913, + 55230513 + ], + [ + 86538892, + 32635708 + ], + [ + 78206635, + 65703297 + ], + [ + 82469228, + 35756262 + ], + [ + 98722271, + 23355425 + ], + [ + 75440323, + 56962651 + ], + [ + 7997475, + 32791693 + ], + [ + 51773648, + 41489011 + ], + [ + 35416635, + 95684203 + ], + [ + 7492332, + 44814250 + ], + [ + 31510635, + 1215798 + ], + [ + 78162640, + 1084451 + ], + [ + 41236446, + 12007743 + ], + [ + 40621747, + 80976482 + ], + [ + 83512381, + 10068916 + ], + [ + 65526536, + 97164160 + ], + [ + 52389768, + 68813209 + ], + [ + 1749266, + 87218747 + ], + [ + 38314849, + 83476431 + ], + [ + 96161456, + 77767242 + ], + [ + 59200271, + 21890686 + ], + [ + 62797563, + 76305577 + ], + [ + 73430324, + 75687922 + ], + [ + 2608000, + 71261451 + ], + [ + 193430, + 8580648 + ], + [ + 2002938, + 60950730 + ], + [ + 51944277, + 82858616 + ], + [ + 69543695, + 26632828 + ], + [ + 98714444, + 5058058 + ], + [ + 14980130, + 47666600 + ], + [ + 3938350, + 39328667 + ], + [ + 30385225, + 5159562 + ], + [ + 49049722, + 38503295 + ], + [ + 68951482, + 20029435 + ], + [ + 17368005, + 29034817 + ], + [ + 12680168, + 98556665 + ], + [ + 53819456, + 40195352 + ], + [ + 21782916, + 94824808 + ], + [ + 10404911, + 17417820 + ], + [ + 75850145, + 60629543 + ], + [ + 24682462, + 65682197 + ], + [ + 81665506, + 49327025 + ], + [ + 32643583, + 87900287 + ], + [ + 48240279, + 6935546 + ], + [ + 93089539, + 82426107 + ], + [ + 72674718, + 14111733 + ], + [ + 49746226, + 39711726 + ], + [ + 7138109, + 52877846 + ], + [ + 6704704, + 44121451 + ], + [ + 6025797, + 40839192 + ], + [ + 47031395, + 995021 + ], + [ + 20736157, + 56536318 + ], + [ + 45514655, + 1177227 + ], + [ + 362161, + 87933376 + ], + [ + 21426901, + 38265176 + ], + [ + 37027617, + 10983986 + ], + [ + 49625877, + 58389129 + ], + [ + 72376878, + 1049651 + ], + [ + 27313566, + 3763577 + ], + [ + 50590181, + 73242402 + ], + [ + 83908536, + 34995180 + ], + [ + 51991384, + 22863936 + ], + [ + 26403079, + 53903484 + ], + [ + 11944116, + 66278450 + ], + [ + 58194182, + 63020115 + ], + [ + 9196587, + 84458342 + ], + [ + 35121264, + 93234497 + ], + [ + 91210805, + 54591187 + ], + [ + 26118641, + 51169555 + ], + [ + 37955154, + 51931273 + ], + [ + 78303415, + 16091779 + ], + [ + 38620712, + 36325309 + ], + [ + 26543656, + 2722244 + ], + [ + 86802585, + 31651444 + ], + [ + 36439633, + 63141904 + ], + [ + 66713821, + 7771156 + ], + [ + 68373033, + 78414208 + ], + [ + 60432203, + 72213091 + ], + [ + 39723984, + 43368841 + ], + [ + 47556418, + 26230529 + ], + [ + 71171698, + 79260465 + ], + [ + 29844182, + 85725254 + ], + [ + 6234813, + 95456252 + ], + [ + 54165220, + 54014202 + ], + [ + 90954421, + 70030132 + ], + [ + 16062233, + 96983879 + ], + [ + 85922977, + 9986506 + ], + [ + 64336563, + 59309887 + ], + [ + 85502919, + 18564456 + ], + [ + 81905812, + 60934950 + ], + [ + 98504698, + 23340731 + ], + [ + 62769055, + 75043717 + ], + [ + 70916430, + 39604457 + ], + [ + 51412865, + 48670362 + ], + [ + 91273524, + 90072912 + ], + [ + 80663816, + 53248985 + ], + [ + 71322547, + 95587753 + ], + [ + 56489196, + 81045430 + ], + [ + 28160792, + 60783042 + ], + [ + 94197705, + 65799906 + ], + [ + 72584640, + 6007567 + ], + [ + 21309453, + 98197321 + ], + [ + 98979496, + 72948700 + ], + [ + 99560438, + 78338944 + ], + [ + 11969058, + 15953382 + ], + [ + 38384186, + 64621918 + ], + [ + 94494684, + 39861858 + ], + [ + 87984966, + 71438880 + ], + [ + 3587602, + 58155582 + ], + [ + 54534352, + 74573596 + ], + [ + 50693397, + 47742434 + ], + [ + 81647926, + 30836281 + ], + [ + 29267888, + 36599518 + ], + [ + 72199096, + 53078673 + ], + [ + 15923903, + 55428229 + ], + [ + 29977518, + 3633892 + ], + [ + 24446946, + 4288748 + ], + [ + 21211972, + 47246990 + ], + [ + 17636439, + 65884010 + ], + [ + 43410502, + 86933348 + ], + [ + 61733080, + 48900174 + ], + [ + 68118239, + 46423442 + ], + [ + 23133569, + 28756346 + ], + [ + 46346017, + 78997053 + ], + [ + 815204, + 7160607 + ], + [ + 29721965, + 53208857 + ], + [ + 48165776, + 17891128 + ], + [ + 23619360, + 66621566 + ], + [ + 98472599, + 28015093 + ], + [ + 48676107, + 57348500 + ], + [ + 89553511, + 76081045 + ], + [ + 68316062, + 10168889 + ], + [ + 40667674, + 27758453 + ], + [ + 98916653, + 22591562 + ], + [ + 69927719, + 31833752 + ], + [ + 65426242, + 80266506 + ], + [ + 50475828, + 58301213 + ], + [ + 54925436, + 29420487 + ], + [ + 21820321, + 91011049 + ], + [ + 19047634, + 27697349 + ], + [ + 35287333, + 66793216 + ], + [ + 15869054, + 58733011 + ], + [ + 71705662, + 62842253 + ], + [ + 42085746, + 16465928 + ], + [ + 53432701, + 10677801 + ], + [ + 47066573, + 39614908 + ], + [ + 56584805, + 75772339 + ], + [ + 16788623, + 6903815 + ], + [ + 56275014, + 93448637 + ], + [ + 53703362, + 7015872 + ], + [ + 82075531, + 40200308 + ], + [ + 45207574, + 70096543 + ], + [ + 44983385, + 85133824 + ], + [ + 59562759, + 48848221 + ], + [ + 83213474, + 14066379 + ], + [ + 23763083, + 40634767 + ], + [ + 81818772, + 12553745 + ], + [ + 95788187, + 63624652 + ], + [ + 15047083, + 57726764 + ], + [ + 5010555, + 67059615 + ], + [ + 7298072, + 11837687 + ], + [ + 44381983, + 88519878 + ], + [ + 84371426, + 75534298 + ], + [ + 65760051, + 68762652 + ], + [ + 2015806, + 48851470 + ], + [ + 99135183, + 91914306 + ], + [ + 17049136, + 8698363 + ], + [ + 7164083, + 68968076 + ], + [ + 23905696, + 44981470 + ], + [ + 64012481, + 16087584 + ], + [ + 35095434, + 9765226 + ], + [ + 13690368, + 29076280 + ], + [ + 84333056, + 40796515 + ], + [ + 93793737, + 27385136 + ], + [ + 55531741, + 26630098 + ], + [ + 88606524, + 44756382 + ], + [ + 36535682, + 8840804 + ], + [ + 49312447, + 2879551 + ], + [ + 85847028, + 2026874 + ], + [ + 34257954, + 66839480 + ], + [ + 73756875, + 18272616 + ], + [ + 18326115, + 1083952 + ], + [ + 29698308, + 64737990 + ], + [ + 98606086, + 41565203 + ], + [ + 21956444, + 25020990 + ], + [ + 79398926, + 96771683 + ], + [ + 38885151, + 51697284 + ], + [ + 51643456, + 94605088 + ], + [ + 51222637, + 88296781 + ], + [ + 36179076, + 8468190 + ], + [ + 63037047, + 85820149 + ], + [ + 37238948, + 78880536 + ], + [ + 17534594, + 44091625 + ], + [ + 37533887, + 84663742 + ], + [ + 36592166, + 19858774 + ], + [ + 14399685, + 78228664 + ], + [ + 78211517, + 42655286 + ], + [ + 53458357, + 55348837 + ], + [ + 968357, + 11033179 + ], + [ + 19525695, + 88319387 + ], + [ + 90558017, + 34185504 + ], + [ + 18857283, + 51822120 + ], + [ + 4254264, + 29117861 + ], + [ + 74350417, + 67048622 + ], + [ + 56558296, + 22519982 + ], + [ + 1632176, + 80485110 + ], + [ + 3282701, + 47949302 + ], + [ + 13593650, + 11307271 + ], + [ + 50543126, + 57799777 + ], + [ + 34898722, + 55143539 + ], + [ + 87478940, + 27720498 + ], + [ + 62395454, + 78880174 + ], + [ + 1309388, + 47221677 + ], + [ + 78975762, + 68620043 + ], + [ + 51153593, + 65683290 + ], + [ + 85537540, + 97969514 + ], + [ + 96014797, + 19436335 + ], + [ + 2061223, + 12545775 + ], + [ + 96918322, + 54450241 + ], + [ + 42688718, + 13684220 + ], + [ + 99075157, + 27823615 + ], + [ + 75171788, + 88698465 + ], + [ + 9308901, + 86035447 + ], + [ + 63672618, + 23902011 + ], + [ + 84719747, + 74443770 + ], + [ + 90809797, + 67711796 + ], + [ + 8097228, + 78358790 + ], + [ + 33552978, + 86136518 + ], + [ + 1793924, + 28262377 + ], + [ + 79305710, + 50644604 + ], + [ + 23210674, + 21238724 + ], + [ + 688147, + 48931991 + ], + [ + 99090868, + 72318491 + ], + [ + 34725805, + 38071349 + ], + [ + 4915963, + 29280578 + ], + [ + 52664294, + 16607453 + ], + [ + 69191619, + 38091131 + ], + [ + 53263417, + 41719477 + ], + [ + 56956144, + 35930843 + ], + [ + 52365164, + 39304634 + ], + [ + 78499390, + 62132821 + ], + [ + 74561879, + 31411132 + ], + [ + 56344273, + 87464721 + ], + [ + 29546939, + 20375479 + ], + [ + 31852409, + 61628423 + ], + [ + 27107870, + 49463892 + ], + [ + 90124637, + 83937220 + ], + [ + 25867993, + 41809791 + ], + [ + 1568730, + 98735177 + ], + [ + 82120544, + 13219347 + ], + [ + 99428168, + 52831079 + ], + [ + 5616374, + 18254654 + ], + [ + 93132920, + 40726973 + ], + [ + 47912662, + 88084399 + ], + [ + 21325067, + 76716166 + ], + [ + 49070671, + 10000620 + ], + [ + 98244730, + 67128001 + ], + [ + 40355784, + 88676237 + ], + [ + 15627678, + 78439586 + ], + [ + 18770964, + 8902166 + ], + [ + 9501787, + 22986810 + ], + [ + 90674049, + 4211829 + ], + [ + 58130318, + 29411164 + ], + [ + 19322202, + 60180009 + ], + [ + 19332101, + 50612127 + ], + [ + 88891823, + 67185377 + ], + [ + 20481289, + 22719647 + ], + [ + 70903587, + 13467625 + ], + [ + 14069702, + 38383915 + ], + [ + 4120626, + 45830584 + ], + [ + 13374984, + 9836860 + ], + [ + 43320624, + 4864177 + ], + [ + 28874212, + 56734716 + ], + [ + 15737555, + 3527534 + ], + [ + 30957965, + 52198776 + ], + [ + 9744880, + 95664075 + ], + [ + 77859244, + 72016537 + ], + [ + 20878991, + 31087289 + ], + [ + 61149616, + 30425001 + ], + [ + 55688504, + 48417038 + ], + [ + 77655641, + 23798514 + ], + [ + 19861881, + 33986004 + ], + [ + 93581236, + 7771925 + ], + [ + 6640088, + 58177867 + ], + [ + 81684865, + 23859621 + ], + [ + 74480418, + 83775527 + ], + [ + 7385649, + 56162064 + ], + [ + 22295779, + 76995450 + ], + [ + 62611442, + 92734907 + ], + [ + 64448234, + 30489306 + ], + [ + 72765304, + 79716696 + ], + [ + 73844803, + 96272379 + ], + [ + 47081312, + 5335541 + ], + [ + 83650300, + 47749846 + ], + [ + 71888697, + 8495284 + ], + [ + 3712257, + 28801831 + ], + [ + 83125637, + 55145645 + ], + [ + 87513012, + 44639173 + ], + [ + 47963270, + 29925029 + ], + [ + 41546669, + 63988642 + ], + [ + 54565879, + 86504701 + ], + [ + 62338395, + 26534567 + ], + [ + 33633295, + 49042097 + ], + [ + 37143045, + 14006651 + ], + [ + 54271251, + 56288510 + ], + [ + 82635365, + 90236152 + ], + [ + 14665089, + 81694052 + ], + [ + 884862, + 40983772 + ], + [ + 34977707, + 46956815 + ], + [ + 53663303, + 99434502 + ], + [ + 50376067, + 98911168 + ], + [ + 59246442, + 50502859 + ], + [ + 88496270, + 36469881 + ], + [ + 20951834, + 14617417 + ], + [ + 12500328, + 42475685 + ], + [ + 42988548, + 28033849 + ], + [ + 54229624, + 78061070 + ], + [ + 51987596, + 95569027 + ], + [ + 7107654, + 61910232 + ], + [ + 8623833, + 72780058 + ], + [ + 1497564, + 19488050 + ], + [ + 75858128, + 26038411 + ], + [ + 29286602, + 97579663 + ], + [ + 43789438, + 72885395 + ], + [ + 97729035, + 13079950 + ], + [ + 81229085, + 31316384 + ], + [ + 90361412, + 37094265 + ], + [ + 31644519, + 41034720 + ], + [ + 47750571, + 58317368 + ], + [ + 36532060, + 33551823 + ], + [ + 48179644, + 33476265 + ], + [ + 93225770, + 90644737 + ], + [ + 96598697, + 10640517 + ], + [ + 13688265, + 40605043 + ], + [ + 3847878, + 10140350 + ], + [ + 25515897, + 29641149 + ], + [ + 21908900, + 83005789 + ], + [ + 50596183, + 27427768 + ], + [ + 75257474, + 25492626 + ], + [ + 47700027, + 52640510 + ], + [ + 89417087, + 745596 + ], + [ + 80415465, + 37935556 + ], + [ + 77953084, + 94132842 + ], + [ + 94156542, + 20222284 + ], + [ + 83608641, + 74518098 + ], + [ + 67012023, + 63220815 + ], + [ + 93352735, + 95585060 + ], + [ + 94501459, + 79033479 + ], + [ + 10774627, + 78875558 + ], + [ + 23094003, + 52017036 + ], + [ + 3263974, + 69904664 + ], + [ + 68769306, + 51320901 + ], + [ + 27403490, + 72379417 + ], + [ + 42221275, + 36756734 + ], + [ + 57881351, + 80716683 + ], + [ + 68363782, + 13958085 + ], + [ + 80533201, + 92090524 + ], + [ + 13502498, + 85950483 + ], + [ + 59004859, + 48826310 + ], + [ + 8459253, + 45598940 + ], + [ + 3411209, + 98568215 + ], + [ + 91130226, + 81342753 + ], + [ + 72859035, + 11176241 + ], + [ + 10680832, + 87058083 + ], + [ + 41003169, + 54650977 + ], + [ + 43606052, + 40753310 + ], + [ + 15221450, + 45872576 + ], + [ + 57537719, + 97714797 + ], + [ + 49691093, + 83981281 + ], + [ + 1640365, + 46320757 + ], + [ + 59569400, + 71887149 + ], + [ + 61148891, + 74925476 + ], + [ + 54644649, + 69724024 + ], + [ + 34019013, + 13159611 + ], + [ + 93684563, + 21321866 + ], + [ + 49715547, + 14433638 + ], + [ + 73450644, + 83528658 + ], + [ + 33042910, + 54428376 + ], + [ + 70298998, + 62909799 + ], + [ + 48745826, + 52607343 + ], + [ + 7994489, + 13934064 + ], + [ + 18740687, + 61212085 + ], + [ + 53053464, + 29027182 + ], + [ + 67538683, + 26994238 + ], + [ + 23149434, + 71176571 + ], + [ + 13755026, + 93811632 + ], + [ + 87802070, + 65381918 + ], + [ + 93311527, + 80931136 + ], + [ + 92842995, + 80550485 + ], + [ + 84592996, + 60569593 + ], + [ + 20882389, + 27584939 + ], + [ + 26133764, + 87538704 + ], + [ + 11332408, + 57087434 + ], + [ + 37071937, + 68413350 + ], + [ + 74214304, + 8850852 + ], + [ + 82838234, + 89426255 + ], + [ + 81691812, + 77762399 + ], + [ + 90100454, + 62632002 + ], + [ + 27759995, + 17746850 + ], + [ + 5302148, + 96264592 + ], + [ + 23076284, + 46311470 + ], + [ + 12764782, + 88001142 + ], + [ + 16990781, + 53203267 + ], + [ + 20285723, + 92436991 + ], + [ + 44201342, + 88345856 + ], + [ + 21760634, + 48460924 + ], + [ + 50423305, + 51889870 + ], + [ + 57082032, + 59037004 + ], + [ + 54279251, + 63178836 + ], + [ + 12143784, + 52005804 + ], + [ + 20060066, + 71650260 + ], + [ + 25282817, + 91253079 + ], + [ + 11846733, + 55589234 + ], + [ + 63809875, + 95787345 + ], + [ + 35987020, + 21081848 + ], + [ + 87239440, + 65472672 + ], + [ + 56168212, + 16244193 + ], + [ + 3212758, + 34093490 + ], + [ + 33377287, + 64018128 + ], + [ + 33620235, + 71812568 + ], + [ + 74746061, + 4998338 + ], + [ + 97247794, + 94020460 + ], + [ + 87328605, + 62667771 + ], + [ + 8039784, + 92361786 + ], + [ + 57085166, + 22982637 + ], + [ + 25200405, + 13149127 + ], + [ + 46797042, + 2284409 + ], + [ + 64051392, + 60420560 + ], + [ + 84057754, + 59350164 + ], + [ + 19967638, + 38769623 + ], + [ + 67517003, + 29006641 + ], + [ + 42277513, + 76487708 + ], + [ + 37420981, + 65962639 + ], + [ + 37080260, + 66618003 + ], + [ + 39946044, + 27416272 + ], + [ + 17001526, + 94349162 + ], + [ + 41440212, + 57666531 + ], + [ + 5591976, + 29282230 + ], + [ + 6147866, + 56062056 + ], + [ + 74307730, + 9037060 + ], + [ + 91217111, + 24709327 + ], + [ + 99794378, + 51762532 + ], + [ + 13395892, + 51042952 + ], + [ + 47468125, + 73856513 + ], + [ + 10897232, + 47827041 + ], + [ + 83082044, + 51668022 + ], + [ + 72892697, + 43153638 + ], + [ + 76519075, + 83828371 + ], + [ + 71975216, + 18521295 + ], + [ + 79680025, + 8265519 + ], + [ + 35367441, + 42754544 + ], + [ + 94513881, + 80514605 + ], + [ + 61956204, + 39029929 + ], + [ + 46583743, + 11193881 + ], + [ + 10877970, + 68172067 + ], + [ + 9990707, + 70049390 + ], + [ + 95173245, + 63470359 + ], + [ + 96340625, + 63640054 + ], + [ + 87522317, + 22518424 + ], + [ + 43593572, + 22465527 + ], + [ + 75769787, + 76544010 + ], + [ + 90120839, + 34293792 + ], + [ + 69164328, + 52094925 + ], + [ + 22450749, + 70091871 + ], + [ + 95927064, + 41578602 + ], + [ + 65023116, + 69364144 + ], + [ + 87504637, + 78104047 + ], + [ + 59925298, + 10063286 + ], + [ + 72609721, + 27439646 + ], + [ + 70080681, + 83968613 + ], + [ + 26272686, + 9222695 + ], + [ + 90713399, + 93723946 + ], + [ + 94612358, + 30993358 + ], + [ + 74621026, + 97601837 + ], + [ + 96245720, + 96978824 + ], + [ + 77491478, + 26150779 + ], + [ + 55549568, + 35298653 + ], + [ + 60616599, + 17612290 + ], + [ + 79431167, + 52119480 + ], + [ + 31258739, + 11409850 + ], + [ + 84818765, + 1273105 + ], + [ + 8672318, + 68925830 + ], + [ + 23834108, + 94600584 + ], + [ + 86234429, + 37916723 + ], + [ + 48546603, + 64962285 + ], + [ + 98245662, + 32839907 + ], + [ + 89431616, + 84154455 + ], + [ + 33384503, + 75023547 + ], + [ + 25937728, + 17134215 + ], + [ + 82019015, + 61746966 + ], + [ + 84961198, + 94480886 + ], + [ + 61455404, + 6706873 + ], + [ + 13210935, + 15446942 + ], + [ + 43133540, + 33662695 + ], + [ + 39461549, + 84948268 + ], + [ + 18653283, + 22067272 + ], + [ + 80993543, + 99033534 + ], + [ + 40921214, + 35017782 + ], + [ + 40218672, + 96656934 + ], + [ + 54427434, + 81079181 + ], + [ + 39095363, + 45079274 + ], + [ + 23372279, + 34100426 + ], + [ + 35073726, + 35257146 + ], + [ + 88738032, + 69669136 + ], + [ + 19707871, + 90547819 + ], + [ + 20770505, + 73425633 + ], + [ + 13838365, + 88084363 + ], + [ + 9417268, + 4300733 + ], + [ + 16584505, + 48825688 + ], + [ + 34310578, + 67519969 + ], + [ + 21037671, + 78420069 + ], + [ + 44670698, + 62401351 + ], + [ + 86326603, + 40694383 + ], + [ + 2994964, + 68233116 + ], + [ + 77180595, + 92048117 + ], + [ + 55582588, + 55026361 + ], + [ + 54248964, + 22668507 + ], + [ + 62230239, + 62578434 + ], + [ + 15489205, + 10531677 + ], + [ + 12498131, + 60125166 + ], + [ + 40936838, + 45147933 + ], + [ + 6700128, + 2933651 + ], + [ + 35049143, + 8873627 + ], + [ + 2256791, + 85215474 + ], + [ + 77511196, + 28128332 + ], + [ + 47228064, + 68425678 + ], + [ + 42436912, + 52053973 + ], + [ + 50898476, + 26782318 + ], + [ + 71509001, + 45974284 + ], + [ + 41710120, + 14526984 + ], + [ + 65391388, + 14876153 + ], + [ + 3625865, + 17514991 + ], + [ + 71761560, + 25801531 + ], + [ + 77661301, + 5061575 + ], + [ + 74215006, + 21816374 + ], + [ + 77146546, + 38233639 + ], + [ + 16561049, + 54327096 + ], + [ + 82897493, + 90240547 + ], + [ + 14200287, + 4747913 + ], + [ + 37738666, + 82817951 + ], + [ + 81804074, + 45270661 + ], + [ + 97505261, + 38727999 + ], + [ + 6679463, + 68632654 + ], + [ + 19188530, + 24699909 + ], + [ + 86598832, + 33478800 + ], + [ + 47241716, + 60211487 + ], + [ + 7281150, + 74017411 + ], + [ + 55219538, + 51546522 + ], + [ + 58078627, + 91606993 + ], + [ + 94357433, + 2036345 + ], + [ + 23859363, + 27693719 + ], + [ + 68919189, + 95878958 + ], + [ + 74212895, + 76205770 + ], + [ + 17444760, + 24212339 + ], + [ + 51998549, + 88786707 + ], + [ + 48580332, + 21508132 + ], + [ + 21540791, + 25260834 + ], + [ + 60108405, + 74682304 + ], + [ + 81352928, + 63391981 + ], + [ + 75842331, + 42293046 + ], + [ + 95636263, + 25253727 + ], + [ + 91231971, + 96145342 + ], + [ + 84809276, + 2071936 + ], + [ + 43707490, + 48627098 + ], + [ + 89816260, + 15034649 + ], + [ + 20885242, + 33142443 + ], + [ + 68833100, + 17596868 + ], + [ + 78477150, + 52228431 + ], + [ + 14586204, + 52667975 + ], + [ + 89053702, + 21499423 + ], + [ + 56908286, + 91023621 + ], + [ + 77982499, + 59394754 + ], + [ + 16163221, + 37454045 + ], + [ + 93232699, + 28246752 + ], + [ + 97843639, + 14034512 + ], + [ + 27181458, + 57189000 + ], + [ + 12966323, + 29762772 + ], + [ + 26731607, + 32713159 + ], + [ + 88685550, + 13776381 + ], + [ + 61953410, + 61331075 + ], + [ + 97443075, + 55815960 + ], + [ + 31460310, + 41575101 + ], + [ + 56501839, + 9678947 + ], + [ + 59597614, + 16939942 + ], + [ + 10694080, + 12366096 + ], + [ + 60336463, + 76024747 + ], + [ + 25606210, + 41260108 + ], + [ + 42171842, + 57202583 + ], + [ + 98874199, + 40036521 + ], + [ + 35979658, + 5619012 + ], + [ + 68801357, + 19559748 + ], + [ + 46517997, + 20515464 + ], + [ + 26842053, + 2915312 + ], + [ + 42321364, + 88543983 + ], + [ + 87807980, + 9999449 + ], + [ + 99617672, + 45996925 + ], + [ + 93302444, + 37521321 + ], + [ + 72156058, + 56254757 + ], + [ + 42421461, + 50991810 + ], + [ + 17415464, + 48834073 + ], + [ + 5659423, + 39148903 + ], + [ + 92576324, + 44483685 + ], + [ + 90893184, + 11862730 + ], + [ + 32326630, + 37395230 + ], + [ + 27223889, + 53475876 + ], + [ + 47562922, + 47063383 + ], + [ + 92754276, + 96772235 + ], + [ + 49125251, + 16467558 + ], + [ + 31780402, + 38316594 + ], + [ + 16780225, + 85056373 + ], + [ + 20982810, + 91248081 + ], + [ + 93640732, + 35372546 + ], + [ + 19456139, + 6136758 + ], + [ + 31280511, + 96985597 + ], + [ + 30181222, + 3195447 + ], + [ + 11129132, + 47371456 + ], + [ + 82579126, + 81493275 + ], + [ + 67338994, + 24497285 + ], + [ + 58295212, + 35806013 + ], + [ + 99653303, + 30447343 + ], + [ + 62256724, + 98656916 + ], + [ + 10251694, + 52914611 + ], + [ + 57782464, + 33552328 + ], + [ + 21819344, + 40685745 + ], + [ + 56999006, + 56658458 + ], + [ + 80857747, + 15875116 + ], + [ + 15999891, + 16793675 + ], + [ + 11855876, + 2717965 + ], + [ + 33529702, + 26783427 + ], + [ + 54019014, + 34067078 + ], + [ + 11996906, + 50606463 + ], + [ + 49474368, + 51743453 + ], + [ + 93652708, + 72558961 + ], + [ + 76791464, + 30304652 + ], + [ + 65662418, + 32326390 + ], + [ + 77186618, + 56317182 + ], + [ + 1502627, + 1960674 + ], + [ + 96755845, + 57921494 + ], + [ + 12308185, + 31783541 + ], + [ + 59891470, + 96479829 + ], + [ + 23762400, + 70417988 + ], + [ + 32076103, + 62246401 + ], + [ + 63458282, + 53659138 + ], + [ + 2155108, + 15567942 + ], + [ + 55979588, + 47873968 + ], + [ + 56646910, + 99826325 + ], + [ + 47658824, + 15901381 + ], + [ + 88421628, + 55458369 + ], + [ + 60018601, + 27623437 + ], + [ + 83828241, + 13690512 + ], + [ + 38262807, + 16075670 + ], + [ + 31390672, + 55324375 + ], + [ + 38881632, + 23274369 + ], + [ + 87495596, + 12958709 + ], + [ + 62599954, + 52345892 + ], + [ + 3336630, + 14387324 + ], + [ + 93472936, + 63389274 + ], + [ + 27605619, + 55195613 + ], + [ + 95285075, + 49738096 + ], + [ + 11416877, + 96477129 + ], + [ + 19088928, + 90106385 + ], + [ + 6787883, + 6655505 + ], + [ + 69885910, + 18827923 + ], + [ + 94384002, + 41445063 + ], + [ + 59111565, + 63869742 + ], + [ + 98034115, + 39707617 + ], + [ + 24956168, + 78050186 + ], + [ + 77512758, + 30493570 + ], + [ + 81708681, + 2613179 + ], + [ + 31673601, + 57600108 + ], + [ + 97122674, + 73983194 + ], + [ + 82317003, + 13425707 + ], + [ + 83896720, + 66611508 + ], + [ + 66562656, + 28532906 + ], + [ + 29547070, + 12991706 + ], + [ + 23078638, + 3837045 + ], + [ + 82415823, + 10029744 + ], + [ + 66720344, + 99347487 + ], + [ + 13258027, + 84291828 + ], + [ + 21917318, + 14325273 + ], + [ + 21298056, + 23905337 + ], + [ + 62935048, + 32554479 + ], + [ + 29556119, + 71330348 + ], + [ + 61695158, + 68442982 + ], + [ + 80323213, + 74871611 + ], + [ + 69408973, + 42944121 + ], + [ + 47289450, + 62292440 + ], + [ + 99308168, + 68352662 + ], + [ + 45548122, + 71562566 + ], + [ + 75202119, + 89375016 + ], + [ + 71152810, + 31256922 + ], + [ + 26210145, + 88712047 + ], + [ + 824943, + 29447252 + ], + [ + 97043857, + 30377827 + ], + [ + 69406529, + 90301702 + ], + [ + 49604889, + 12630526 + ], + [ + 93330961, + 76540720 + ], + [ + 85130263, + 40685798 + ], + [ + 10130839, + 14250031 + ], + [ + 39720965, + 80385962 + ], + [ + 3883556, + 63364251 + ], + [ + 58148217, + 1770083 + ], + [ + 60447094, + 40825161 + ], + [ + 73530063, + 82416130 + ], + [ + 65448429, + 62956267 + ], + [ + 57819720, + 74994051 + ], + [ + 44381197, + 45791052 + ], + [ + 9840968, + 92404239 + ], + [ + 51765390, + 78731862 + ], + [ + 13661059, + 10008929 + ], + [ + 87711005, + 45320964 + ], + [ + 79129648, + 82485328 + ], + [ + 64049153, + 42670282 + ], + [ + 85987359, + 37050884 + ], + [ + 90199325, + 59663709 + ], + [ + 45225858, + 37329185 + ], + [ + 16499448, + 4438725 + ], + [ + 82705668, + 76737055 + ], + [ + 28703529, + 10856816 + ], + [ + 69681340, + 35251349 + ], + [ + 32842806, + 55685260 + ], + [ + 21868660, + 97137543 + ], + [ + 8515733, + 50514911 + ], + [ + 65752055, + 92602782 + ], + [ + 93258309, + 4023737 + ], + [ + 60746853, + 7640375 + ], + [ + 28805314, + 33758925 + ], + [ + 9604360, + 78521124 + ], + [ + 63932024, + 4838822 + ], + [ + 23807717, + 43086144 + ], + [ + 77797840, + 77577231 + ], + [ + 47528365, + 64424875 + ], + [ + 45676930, + 64035644 + ], + [ + 78769254, + 76180052 + ], + [ + 68599994, + 34261720 + ], + [ + 95594416, + 72526875 + ], + [ + 26030992, + 48643493 + ], + [ + 49431701, + 55312046 + ], + [ + 49857273, + 2107421 + ], + [ + 1152663, + 4000955 + ], + [ + 30426542, + 45629801 + ], + [ + 68566711, + 78398962 + ], + [ + 94606643, + 93279839 + ], + [ + 66226633, + 1157530 + ], + [ + 94798569, + 37479407 + ], + [ + 87957645, + 33303185 + ], + [ + 81008120, + 4745542 + ], + [ + 8970209, + 14346503 + ], + [ + 35708486, + 36923300 + ], + [ + 17241047, + 33678131 + ], + [ + 32256858, + 75935156 + ], + [ + 16329804, + 28397312 + ], + [ + 84113030, + 38104764 + ], + [ + 98709802, + 2554837 + ], + [ + 88588770, + 27987835 + ], + [ + 61645855, + 31586194 + ], + [ + 72851386, + 29177108 + ], + [ + 10531706, + 35460562 + ], + [ + 53107961, + 27992599 + ], + [ + 11827970, + 36270035 + ], + [ + 77327240, + 39712783 + ], + [ + 58287556, + 41448689 + ], + [ + 54109438, + 56441485 + ], + [ + 94232791, + 11707850 + ], + [ + 7774266, + 46325825 + ], + [ + 31492122, + 77640132 + ], + [ + 29603310, + 50419397 + ], + [ + 95442442, + 50457564 + ], + [ + 16938132, + 83290238 + ], + [ + 62430825, + 38753449 + ], + [ + 53080683, + 93183236 + ], + [ + 15667128, + 38231348 + ], + [ + 78595402, + 42570075 + ], + [ + 1202580, + 93320568 + ], + [ + 22466396, + 12812729 + ], + [ + 24461105, + 94185584 + ], + [ + 78056822, + 42608924 + ], + [ + 79095340, + 71126521 + ], + [ + 19382933, + 60797027 + ], + [ + 17329760, + 9156047 + ], + [ + 93905519, + 87719586 + ], + [ + 33101372, + 85180987 + ], + [ + 35130976, + 73416417 + ], + [ + 24372223, + 20961139 + ], + [ + 21507391, + 86613340 + ], + [ + 45580246, + 32280040 + ], + [ + 50734015, + 64036038 + ], + [ + 48345814, + 34459079 + ], + [ + 81144911, + 37484489 + ], + [ + 8704039, + 59995829 + ], + [ + 98481286, + 97342223 + ], + [ + 11530533, + 21112597 + ], + [ + 56639078, + 6751874 + ], + [ + 94651645, + 25379594 + ], + [ + 29750576, + 61273732 + ], + [ + 77791605, + 78667855 + ], + [ + 49186887, + 34754664 + ], + [ + 8517443, + 63565151 + ], + [ + 68315041, + 97196738 + ], + [ + 58442487, + 67872128 + ], + [ + 65978827, + 68895861 + ], + [ + 25775629, + 81186502 + ], + [ + 45316465, + 67110247 + ], + [ + 69703486, + 595616 + ], + [ + 73087180, + 98390889 + ], + [ + 1553220, + 24401276 + ], + [ + 90775813, + 29541602 + ], + [ + 87158889, + 91408398 + ], + [ + 67574595, + 39608976 + ], + [ + 38273084, + 60016351 + ], + [ + 14519757, + 58912932 + ], + [ + 67768958, + 65567746 + ], + [ + 11474224, + 82591724 + ], + [ + 29641398, + 64469825 + ], + [ + 64816001, + 53187328 + ], + [ + 20901980, + 81570027 + ], + [ + 27819562, + 92979215 + ], + [ + 49405174, + 14388437 + ], + [ + 57731194, + 67902995 + ], + [ + 81369374, + 2935660 + ], + [ + 4359602, + 15806555 + ], + [ + 70154609, + 97942044 + ], + [ + 43179462, + 47093435 + ], + [ + 31052943, + 78891874 + ], + [ + 98375569, + 48696450 + ], + [ + 29381644, + 81927340 + ], + [ + 70419324, + 5063754 + ], + [ + 23460071, + 51028246 + ], + [ + 73860604, + 30714500 + ], + [ + 10526537, + 91594692 + ], + [ + 91548451, + 35932254 + ], + [ + 59367022, + 20607633 + ], + [ + 67165019, + 55912862 + ], + [ + 56023422, + 53375512 + ], + [ + 49366340, + 89413256 + ], + [ + 81550491, + 59164637 + ], + [ + 90425400, + 12619510 + ], + [ + 8811427, + 69545060 + ], + [ + 12371356, + 53912192 + ], + [ + 55925011, + 91104129 + ], + [ + 85085840, + 32351187 + ], + [ + 27834629, + 69341369 + ], + [ + 32720040, + 6449774 + ], + [ + 13286802, + 3946033 + ], + [ + 768992, + 23150881 + ], + [ + 39516923, + 86074229 + ], + [ + 82955596, + 34881743 + ], + [ + 93923089, + 86824047 + ], + [ + 29552282, + 81843016 + ], + [ + 24777424, + 84560797 + ], + [ + 74996304, + 46214747 + ], + [ + 24759634, + 72730268 + ], + [ + 54511187, + 61943183 + ], + [ + 60007525, + 25855109 + ], + [ + 22945763, + 15382677 + ], + [ + 40602903, + 26739860 + ], + [ + 77344215, + 67041970 + ], + [ + 57090662, + 78426536 + ], + [ + 99968576, + 65181814 + ], + [ + 39394290, + 3637560 + ], + [ + 59330484, + 6257687 + ], + [ + 14726622, + 94254374 + ], + [ + 59467592, + 62167910 + ], + [ + 60693821, + 9548032 + ], + [ + 66199725, + 55808131 + ], + [ + 52687588, + 54980571 + ], + [ + 8988840, + 56539906 + ], + [ + 86861903, + 88703418 + ], + [ + 92257074, + 64347027 + ], + [ + 93778189, + 55680604 + ], + [ + 79147404, + 25857968 + ], + [ + 78965099, + 25355125 + ], + [ + 71725454, + 13801873 + ], + [ + 81224976, + 65160951 + ], + [ + 95614597, + 78890613 + ], + [ + 18114313, + 13401886 + ], + [ + 20433117, + 11658826 + ], + [ + 84414080, + 86614827 + ], + [ + 40988324, + 61549956 + ], + [ + 76752814, + 98568097 + ], + [ + 41079500, + 25520326 + ], + [ + 39442362, + 60410521 + ], + [ + 54863384, + 83838191 + ], + [ + 4877132, + 45815223 + ], + [ + 31801283, + 20281644 + ], + [ + 87920509, + 94522005 + ], + [ + 9268985, + 67456970 + ], + [ + 23000822, + 48615910 + ], + [ + 7535290, + 15936072 + ], + [ + 70111712, + 82836543 + ], + [ + 4736547, + 27992776 + ], + [ + 33393762, + 57164370 + ], + [ + 28716315, + 56047373 + ], + [ + 99197161, + 26081671 + ], + [ + 7575163, + 37397556 + ], + [ + 38862242, + 57263397 + ], + [ + 38339360, + 78328840 + ], + [ + 64382789, + 86630653 + ], + [ + 38273239, + 2735302 + ], + [ + 5317867, + 41858881 + ], + [ + 67675143, + 43733494 + ], + [ + 46968772, + 98706730 + ], + [ + 1273971, + 19138094 + ], + [ + 48450540, + 41859830 + ], + [ + 56527527, + 25278296 + ], + [ + 27474611, + 56992102 + ], + [ + 48226211, + 43856601 + ], + [ + 56426615, + 75035856 + ], + [ + 71724472, + 98711860 + ], + [ + 73116266, + 70502093 + ], + [ + 97216663, + 57049243 + ], + [ + 38805470, + 40844993 + ], + [ + 5417492, + 64438848 + ], + [ + 20845199, + 39694494 + ], + [ + 92930605, + 18474874 + ], + [ + 28545452, + 73714927 + ], + [ + 73453654, + 16672340 + ], + [ + 86061230, + 34062920 + ], + [ + 6576562, + 12326061 + ], + [ + 61566359, + 88900726 + ], + [ + 61955158, + 85479259 + ], + [ + 89857576, + 68724804 + ], + [ + 33889096, + 85328356 + ], + [ + 65388152, + 50418683 + ], + [ + 30633056, + 66002717 + ], + [ + 41485648, + 77622234 + ], + [ + 77074257, + 38516429 + ], + [ + 42032433, + 85835012 + ], + [ + 64070275, + 10251953 + ], + [ + 39833635, + 88884552 + ], + [ + 68941353, + 37927248 + ], + [ + 13069384, + 70416480 + ], + [ + 52530060, + 41627156 + ], + [ + 7599617, + 91292549 + ], + [ + 74381005, + 39975769 + ], + [ + 16417768, + 29353865 + ], + [ + 9816279, + 6599280 + ], + [ + 94714905, + 6969667 + ], + [ + 60728016, + 65540558 + ], + [ + 69803969, + 2463295 + ], + [ + 54110683, + 64288464 + ], + [ + 83558626, + 82060176 + ], + [ + 69556665, + 86969167 + ], + [ + 4192499, + 98436614 + ], + [ + 71183758, + 57785470 + ], + [ + 35039990, + 46180091 + ], + [ + 60530463, + 50963300 + ], + [ + 54255886, + 18873119 + ], + [ + 71905567, + 82036971 + ], + [ + 1081001, + 75689468 + ], + [ + 67070224, + 16917164 + ], + [ + 54858877, + 40618458 + ], + [ + 20302795, + 95372602 + ], + [ + 22275598, + 55621453 + ], + [ + 57559251, + 5200432 + ], + [ + 97325544, + 28795399 + ], + [ + 99841030, + 29371093 + ], + [ + 55975917, + 23334889 + ], + [ + 44402456, + 70691748 + ], + [ + 86130328, + 59710531 + ], + [ + 98112225, + 46857228 + ], + [ + 7111190, + 30573931 + ], + [ + 82770110, + 83776763 + ], + [ + 7997280, + 94713386 + ], + [ + 59441688, + 64313602 + ], + [ + 83784672, + 53612536 + ], + [ + 72063489, + 37040829 + ], + [ + 99654278, + 99599722 + ], + [ + 19348213, + 7653839 + ], + [ + 23611698, + 64470188 + ], + [ + 56429622, + 43912538 + ], + [ + 88502785, + 40907690 + ], + [ + 95588973, + 84286829 + ], + [ + 34295400, + 3265759 + ], + [ + 69633688, + 59760823 + ], + [ + 84143422, + 68081978 + ], + [ + 32884644, + 8683524 + ], + [ + 64506230, + 80683537 + ], + [ + 68761403, + 900429 + ], + [ + 15070031, + 43870392 + ], + [ + 46501482, + 56933557 + ], + [ + 87005265, + 64320594 + ], + [ + 94538481, + 27390483 + ], + [ + 22954841, + 94837709 + ], + [ + 91651308, + 84232754 + ], + [ + 99567557, + 49192667 + ], + [ + 24800256, + 88733266 + ], + [ + 86065280, + 24092618 + ], + [ + 42964891, + 53807592 + ], + [ + 36982924, + 63935049 + ], + [ + 1163743, + 59020714 + ], + [ + 31500619, + 61881869 + ], + [ + 52137261, + 76638912 + ], + [ + 81126130, + 3458331 + ], + [ + 61403772, + 88407770 + ], + [ + 7212964, + 9628631 + ], + [ + 79384204, + 45443388 + ], + [ + 25764822, + 27966976 + ], + [ + 99446144, + 54283793 + ], + [ + 57038942, + 39519831 + ], + [ + 80403121, + 1677492 + ], + [ + 1598737, + 15843696 + ], + [ + 67783108, + 41789827 + ], + [ + 41857911, + 85615893 + ], + [ + 47542395, + 73008895 + ], + [ + 20068114, + 5423255 + ], + [ + 15243103, + 55326011 + ], + [ + 48485093, + 3505901 + ], + [ + 74623368, + 19637651 + ], + [ + 73177744, + 3674883 + ], + [ + 68689223, + 61035526 + ], + [ + 62478815, + 14389513 + ], + [ + 54098901, + 15747703 + ], + [ + 92545936, + 54896865 + ], + [ + 3454984, + 22102908 + ], + [ + 67024236, + 28636911 + ], + [ + 1339922, + 38542775 + ], + [ + 77442278, + 93688739 + ], + [ + 34110348, + 52036098 + ], + [ + 54251545, + 24136131 + ], + [ + 48487319, + 21611708 + ], + [ + 84285629, + 23183136 + ], + [ + 87677605, + 3396559 + ], + [ + 77077343, + 33970020 + ], + [ + 68059401, + 7894251 + ], + [ + 97061941, + 61439987 + ], + [ + 42557598, + 75093023 + ], + [ + 62375088, + 87687717 + ], + [ + 31620955, + 31570779 + ], + [ + 87018527, + 9207571 + ], + [ + 13820006, + 75488809 + ], + [ + 11121169, + 86312903 + ], + [ + 82229212, + 80674852 + ], + [ + 62720559, + 70331321 + ], + [ + 50675124, + 27903010 + ], + [ + 76895227, + 81008072 + ], + [ + 58910002, + 65588089 + ], + [ + 48711720, + 27937511 + ], + [ + 46220880, + 23701039 + ], + [ + 79658583, + 83256267 + ], + [ + 91788776, + 83474880 + ], + [ + 15026454, + 96719185 + ], + [ + 98562739, + 93753406 + ], + [ + 91250824, + 79099730 + ], + [ + 72683883, + 99085621 + ], + [ + 82551246, + 77650162 + ], + [ + 8700456, + 66156658 + ], + [ + 53380673, + 62013890 + ], + [ + 27808172, + 34382598 + ], + [ + 69359306, + 90702295 + ], + [ + 17631143, + 71219856 + ], + [ + 55885275, + 50618048 + ], + [ + 94068590, + 35468367 + ], + [ + 94416550, + 77896196 + ], + [ + 40838064, + 70140551 + ], + [ + 45613212, + 73357039 + ], + [ + 65131803, + 14419758 + ], + [ + 9514454, + 96563273 + ], + [ + 17279486, + 37626235 + ], + [ + 45801751, + 80217936 + ], + [ + 55256978, + 66093081 + ], + [ + 73112789, + 10262565 + ], + [ + 52630392, + 47001380 + ], + [ + 75616394, + 30268693 + ], + [ + 3342528, + 89450776 + ], + [ + 43519964, + 49858410 + ], + [ + 69933761, + 53950496 + ], + [ + 58600147, + 88578782 + ], + [ + 50514718, + 75012960 + ], + [ + 7643172, + 302014 + ], + [ + 38356423, + 88238893 + ], + [ + 91903544, + 69291217 + ], + [ + 51689305, + 28637411 + ], + [ + 64370746, + 41029601 + ], + [ + 77052518, + 72156033 + ], + [ + 61387008, + 13501343 + ], + [ + 23557567, + 51637127 + ], + [ + 28057678, + 66790704 + ], + [ + 28237122, + 78643400 + ], + [ + 82156348, + 17254497 + ], + [ + 51846072, + 68802391 + ], + [ + 8399756, + 12624798 + ], + [ + 65090396, + 40416155 + ], + [ + 99949807, + 84256140 + ], + [ + 16502240, + 1419925 + ], + [ + 50208582, + 50818604 + ], + [ + 1961583, + 93164819 + ], + [ + 28829756, + 35590448 + ], + [ + 15965564, + 90645593 + ], + [ + 56024806, + 23426852 + ], + [ + 85603748, + 42794385 + ], + [ + 18807456, + 85011434 + ], + [ + 12742439, + 69260258 + ], + [ + 98600600, + 96062295 + ], + [ + 855019, + 81059541 + ], + [ + 35831267, + 30901362 + ], + [ + 99261789, + 47650143 + ], + [ + 31058359, + 22636079 + ], + [ + 73800088, + 51904611 + ], + [ + 6719960, + 45320646 + ], + [ + 9818774, + 38268591 + ], + [ + 8278300, + 15332944 + ], + [ + 55994653, + 59319414 + ], + [ + 41639991, + 62901786 + ], + [ + 25622033, + 37063657 + ], + [ + 45618396, + 88782817 + ], + [ + 64694369, + 31992675 + ], + [ + 49526144, + 56769836 + ], + [ + 54132211, + 67761520 + ], + [ + 63020762, + 89102219 + ], + [ + 97586797, + 33521182 + ], + [ + 70932718, + 43207302 + ], + [ + 38499648, + 51034542 + ], + [ + 73234093, + 80533150 + ], + [ + 4730147, + 94736295 + ], + [ + 58966779, + 30526792 + ], + [ + 50365518, + 22693134 + ], + [ + 93564487, + 81501089 + ], + [ + 66060018, + 37251837 + ], + [ + 65249865, + 95025809 + ], + [ + 84861699, + 18517130 + ], + [ + 62907266, + 7842321 + ], + [ + 80618378, + 79580484 + ], + [ + 69561792, + 69592873 + ], + [ + 4417566, + 46868855 + ], + [ + 36801508, + 95203970 + ], + [ + 11407214, + 73867544 + ], + [ + 88821756, + 53106075 + ], + [ + 61661580, + 54247928 + ], + [ + 84166232, + 13524309 + ], + [ + 29875997, + 61627555 + ], + [ + 8121308, + 63719690 + ], + [ + 41933860, + 66913325 + ], + [ + 17804658, + 39867725 + ], + [ + 4128287, + 24448800 + ], + [ + 73675158, + 62578667 + ], + [ + 20080751, + 29733832 + ], + [ + 61800080, + 48261217 + ], + [ + 28938227, + 85126968 + ], + [ + 75424621, + 48099780 + ], + [ + 70427395, + 62057043 + ], + [ + 78500707, + 91848902 + ], + [ + 72434164, + 26186203 + ], + [ + 44893166, + 5899444 + ], + [ + 89700141, + 54615687 + ], + [ + 431722, + 42918261 + ], + [ + 1908282, + 46736806 + ], + [ + 29982346, + 57396532 + ], + [ + 61781971, + 48604034 + ], + [ + 82898384, + 71934258 + ], + [ + 17039974, + 56115722 + ], + [ + 10286899, + 90408245 + ], + [ + 14345275, + 5431850 + ], + [ + 59929729, + 51489116 + ], + [ + 19827856, + 14807424 + ], + [ + 54061571, + 87566998 + ], + [ + 3027599, + 20749075 + ], + [ + 59683354, + 86867447 + ], + [ + 5695, + 58257617 + ], + [ + 72815675, + 5176601 + ], + [ + 51458141, + 57811469 + ], + [ + 96593212, + 79546853 + ], + [ + 81224303, + 42221913 + ], + [ + 65027070, + 53392935 + ], + [ + 74143255, + 90702509 + ], + [ + 3304311, + 14918089 + ], + [ + 67478214, + 4138775 + ], + [ + 8655002, + 49228664 + ], + [ + 17067488, + 45402696 + ], + [ + 7338178, + 40383230 + ], + [ + 29632980, + 96534886 + ], + [ + 83114573, + 920847 + ], + [ + 33306900, + 8895473 + ], + [ + 43165001, + 19814304 + ], + [ + 89160230, + 49474751 + ], + [ + 91613481, + 79899131 + ], + [ + 27609298, + 73641112 + ], + [ + 37283685, + 13871060 + ], + [ + 91592070, + 94142277 + ], + [ + 32327553, + 96328809 + ], + [ + 74952329, + 50489 + ], + [ + 41387474, + 50016838 + ], + [ + 80485317, + 46363806 + ], + [ + 6125869, + 5562859 + ], + [ + 67522985, + 47063139 + ], + [ + 11389896, + 34918264 + ], + [ + 51523240, + 70174813 + ], + [ + 35552092, + 1922603 + ], + [ + 72227678, + 63940054 + ], + [ + 24478399, + 58978972 + ], + [ + 872979, + 86261851 + ], + [ + 11887797, + 38457378 + ], + [ + 67890875, + 45146466 + ], + [ + 29311800, + 96164394 + ], + [ + 54195101, + 64236170 + ], + [ + 69024491, + 20879106 + ], + [ + 2825748, + 98304648 + ], + [ + 67564442, + 24872343 + ], + [ + 41915633, + 7854193 + ], + [ + 12372966, + 48303027 + ], + [ + 53470933, + 16700261 + ], + [ + 30835166, + 86821602 + ], + [ + 81206081, + 90186003 + ], + [ + 82043332, + 40763569 + ], + [ + 20210173, + 13729167 + ], + [ + 46662353, + 39389742 + ], + [ + 2631528, + 60472066 + ], + [ + 87101300, + 22561553 + ], + [ + 10067947, + 36688152 + ], + [ + 88963734, + 89504300 + ], + [ + 75429148, + 50332184 + ], + [ + 17587005, + 70428926 + ], + [ + 76351968, + 28167148 + ], + [ + 48930257, + 33979604 + ], + [ + 48145556, + 74761759 + ], + [ + 4046458, + 77232555 + ], + [ + 59301612, + 73410826 + ], + [ + 62365246, + 63514349 + ], + [ + 31949943, + 80771251 + ], + [ + 70310258, + 24369149 + ], + [ + 65236461, + 66240097 + ], + [ + 77027690, + 35870139 + ], + [ + 54892914, + 17127875 + ], + [ + 45550549, + 67673155 + ], + [ + 82931930, + 57517202 + ], + [ + 94358018, + 69269562 + ], + [ + 87529214, + 68460336 + ], + [ + 20844568, + 68510995 + ], + [ + 77696179, + 52983833 + ], + [ + 39665984, + 88417150 + ], + [ + 44832077, + 90543269 + ], + [ + 44151889, + 39137248 + ], + [ + 96023915, + 46082836 + ], + [ + 68638968, + 80560814 + ], + [ + 96208264, + 20101002 + ], + [ + 46357276, + 49724514 + ], + [ + 52778163, + 25951097 + ], + [ + 18428773, + 53178958 + ], + [ + 30407287, + 20774111 + ], + [ + 26175170, + 89100351 + ], + [ + 80822589, + 44222545 + ], + [ + 55403927, + 93446452 + ], + [ + 27422009, + 21759771 + ], + [ + 43317419, + 87623328 + ], + [ + 93989482, + 10770370 + ], + [ + 20863325, + 26371813 + ], + [ + 99299320, + 15325886 + ], + [ + 25145698, + 65981835 + ], + [ + 74364670, + 60362621 + ], + [ + 1133598, + 57340675 + ], + [ + 38516568, + 88522955 + ], + [ + 87643796, + 98580324 + ], + [ + 11912203, + 66020649 + ], + [ + 19176432, + 36129131 + ], + [ + 72915830, + 35790131 + ], + [ + 73561480, + 69837817 + ], + [ + 90791903, + 28680257 + ], + [ + 77378267, + 65441547 + ], + [ + 40019901, + 90860449 + ], + [ + 49714403, + 92195142 + ], + [ + 34209448, + 9459993 + ], + [ + 15691872, + 15971357 + ], + [ + 31790618, + 78051535 + ], + [ + 74942182, + 56726489 + ], + [ + 80428237, + 1305107 + ], + [ + 27977202, + 36377907 + ], + [ + 34243724, + 47066547 + ], + [ + 22854328, + 27163363 + ], + [ + 96163528, + 39716395 + ], + [ + 22675841, + 55273875 + ], + [ + 17579666, + 42617521 + ], + [ + 41183057, + 49944348 + ], + [ + 98967750, + 88980128 + ], + [ + 56349250, + 95745991 + ], + [ + 81362594, + 26933666 + ], + [ + 12336255, + 10479987 + ], + [ + 19142617, + 84101026 + ], + [ + 73710694, + 15494467 + ], + [ + 24698010, + 25399457 + ], + [ + 1689024, + 32642085 + ], + [ + 81834670, + 25898516 + ], + [ + 17602807, + 87812063 + ], + [ + 67481974, + 38283781 + ], + [ + 77898079, + 36298093 + ], + [ + 37964638, + 71689322 + ], + [ + 10084416, + 42015655 + ], + [ + 47953110, + 58194486 + ], + [ + 9918158, + 5874520 + ], + [ + 69263287, + 77349011 + ], + [ + 70631041, + 29228909 + ], + [ + 84575623, + 88107286 + ], + [ + 95348046, + 21357938 + ], + [ + 10449377, + 51777915 + ], + [ + 95605495, + 60112771 + ], + [ + 95029057, + 32112786 + ], + [ + 46064763, + 87585986 + ], + [ + 35483062, + 3147420 + ], + [ + 55637399, + 87725920 + ], + [ + 62002798, + 69644887 + ], + [ + 8483517, + 82879268 + ], + [ + 32998090, + 44777888 + ], + [ + 48807073, + 65564106 + ], + [ + 25999432, + 3337022 + ], + [ + 32229461, + 39764843 + ], + [ + 28141181, + 84108466 + ], + [ + 50286920, + 79530823 + ], + [ + 26762314, + 82384601 + ], + [ + 19033912, + 70674532 + ], + [ + 45486780, + 76873949 + ], + [ + 84439966, + 41466373 + ], + [ + 56795502, + 94958742 + ], + [ + 79077893, + 46762368 + ], + [ + 94099865, + 84035027 + ], + [ + 40436260, + 86501921 + ], + [ + 52535545, + 75517700 + ], + [ + 32696028, + 95864501 + ], + [ + 86290321, + 92327668 + ], + [ + 94191843, + 58005771 + ], + [ + 95056381, + 11103570 + ], + [ + 5105885, + 75430578 + ], + [ + 14051534, + 97181748 + ], + [ + 18839673, + 50913544 + ], + [ + 43529774, + 88205717 + ], + [ + 13686627, + 73570116 + ], + [ + 29133573, + 87378767 + ], + [ + 26383304, + 67099527 + ], + [ + 84183690, + 21524582 + ], + [ + 36166279, + 12535242 + ], + [ + 12857218, + 88462416 + ], + [ + 53901377, + 53971740 + ], + [ + 36673994, + 53424765 + ], + [ + 67387413, + 61738410 + ], + [ + 9222877, + 96731126 + ], + [ + 50899501, + 74813976 + ], + [ + 32475426, + 90242071 + ], + [ + 56342509, + 58147979 + ], + [ + 21424925, + 81990218 + ], + [ + 67496654, + 67010035 + ], + [ + 32411546, + 17333661 + ], + [ + 97996318, + 35356816 + ], + [ + 91491101, + 67621139 + ], + [ + 23304852, + 97700009 + ], + [ + 59180075, + 99509809 + ], + [ + 47105992, + 83084984 + ], + [ + 65628529, + 83647536 + ], + [ + 68367551, + 65599229 + ], + [ + 95365586, + 9430331 + ], + [ + 81860238, + 43378624 + ], + [ + 80735608, + 56421859 + ], + [ + 66509028, + 92672218 + ], + [ + 61652763, + 29617169 + ], + [ + 6980158, + 10342586 + ], + [ + 13952719, + 62992380 + ], + [ + 44770964, + 87420487 + ], + [ + 31015331, + 13589402 + ], + [ + 84619411, + 60050986 + ], + [ + 73539282, + 96928666 + ], + [ + 81000412, + 72210278 + ], + [ + 82383877, + 68306113 + ], + [ + 21008655, + 18841837 + ], + [ + 64446321, + 24000864 + ], + [ + 7803901, + 26126069 + ], + [ + 23285368, + 54749633 + ], + [ + 59605535, + 35772920 + ], + [ + 40409262, + 19166586 + ], + [ + 76102756, + 13263798 + ], + [ + 59451495, + 96523118 + ], + [ + 47130355, + 2431479 + ], + [ + 81681104, + 11839944 + ], + [ + 25459329, + 35440122 + ], + [ + 77439391, + 11214183 + ], + [ + 91971924, + 88744755 + ], + [ + 36328997, + 94768946 + ], + [ + 6110504, + 88594484 + ], + [ + 65738892, + 20764995 + ], + [ + 84821501, + 58643406 + ], + [ + 17597307, + 40575785 + ], + [ + 66900816, + 16260622 + ], + [ + 96788326, + 88750119 + ], + [ + 75045953, + 71194833 + ], + [ + 48988063, + 84832559 + ], + [ + 53663955, + 39523279 + ], + [ + 24635682, + 68162075 + ], + [ + 84672420, + 1130111 + ], + [ + 64426877, + 98199616 + ], + [ + 76746597, + 21319426 + ], + [ + 28460044, + 91934897 + ], + [ + 50289295, + 6369587 + ], + [ + 77676774, + 91584962 + ], + [ + 16518258, + 86805138 + ], + [ + 25962322, + 6896492 + ], + [ + 51314150, + 18758266 + ], + [ + 19090121, + 92774405 + ], + [ + 86575273, + 85715214 + ], + [ + 97862923, + 55761715 + ], + [ + 86406485, + 95780322 + ], + [ + 97261244, + 50604874 + ], + [ + 52427184, + 7551096 + ], + [ + 90124188, + 75335787 + ], + [ + 61253382, + 81101179 + ], + [ + 78272291, + 56204462 + ], + [ + 63724156, + 46484024 + ], + [ + 31401086, + 47069467 + ], + [ + 48249428, + 45570192 + ], + [ + 9827574, + 14670340 + ], + [ + 10490553, + 50749362 + ], + [ + 28370604, + 89922114 + ], + [ + 23889842, + 9149176 + ], + [ + 69785186, + 42538690 + ], + [ + 3360572, + 54841181 + ], + [ + 95089266, + 35492893 + ], + [ + 59505453, + 69126931 + ], + [ + 18582169, + 670948 + ], + [ + 70436285, + 73289750 + ], + [ + 82723226, + 66207097 + ], + [ + 90705722, + 46571696 + ], + [ + 62402001, + 98727177 + ], + [ + 72301205, + 10894304 + ], + [ + 3559446, + 4902883 + ], + [ + 58627333, + 41119219 + ], + [ + 25591203, + 28284112 + ], + [ + 40511595, + 83557153 + ], + [ + 76254521, + 62539141 + ], + [ + 4333178, + 74242499 + ], + [ + 51493443, + 79128842 + ], + [ + 15452681, + 22671521 + ], + [ + 80578101, + 46511757 + ], + [ + 62442220, + 27765937 + ], + [ + 79218302, + 21277280 + ], + [ + 74196958, + 30536833 + ], + [ + 56644834, + 34041737 + ], + [ + 84345047, + 87944580 + ], + [ + 6508252, + 34590877 + ], + [ + 75832691, + 17051251 + ], + [ + 34533621, + 45411390 + ], + [ + 41999297, + 7431291 + ], + [ + 22456322, + 49413417 + ], + [ + 1070272, + 24923878 + ], + [ + 67950474, + 920049 + ], + [ + 32091359, + 75345190 + ], + [ + 74431623, + 69614591 + ], + [ + 85341269, + 89956706 + ], + [ + 66311154, + 24072982 + ], + [ + 88250105, + 61553923 + ], + [ + 44634810, + 5705846 + ], + [ + 74151999, + 16029858 + ], + [ + 38404641, + 63228078 + ], + [ + 83530303, + 30693260 + ], + [ + 88763248, + 11766413 + ], + [ + 7893635, + 56832646 + ], + [ + 80498757, + 44507541 + ], + [ + 90937430, + 46655113 + ], + [ + 64050371, + 32793453 + ], + [ + 16789435, + 16529535 + ], + [ + 35399310, + 24629065 + ], + [ + 80639538, + 89738522 + ], + [ + 25663402, + 36636547 + ], + [ + 88947135, + 64465192 + ], + [ + 38911223, + 15224192 + ], + [ + 44240337, + 92102194 + ], + [ + 33608492, + 97360768 + ], + [ + 9382352, + 70291380 + ], + [ + 16162871, + 51209954 + ], + [ + 23793843, + 21119979 + ], + [ + 19907947, + 14552331 + ], + [ + 30649172, + 85957337 + ], + [ + 47477982, + 52745992 + ], + [ + 6834930, + 33806616 + ], + [ + 79462613, + 59584584 + ], + [ + 12564043, + 96286791 + ], + [ + 56233473, + 32166962 + ], + [ + 38140778, + 71302615 + ], + [ + 49931456, + 98125863 + ], + [ + 76068989, + 7060837 + ], + [ + 26579674, + 85204155 + ], + [ + 99259593, + 98889748 + ], + [ + 45749816, + 42215196 + ], + [ + 59430275, + 63577802 + ], + [ + 13977277, + 60056472 + ], + [ + 17032558, + 42372369 + ], + [ + 94745881, + 22333838 + ], + [ + 54074331, + 72053575 + ], + [ + 49772377, + 44808903 + ], + [ + 19466647, + 77380216 + ], + [ + 3019139, + 61512385 + ], + [ + 7000448, + 64150834 + ], + [ + 97632156, + 43085811 + ], + [ + 82986187, + 11794850 + ], + [ + 99727283, + 34821127 + ], + [ + 21112205, + 90870505 + ], + [ + 7267821, + 4929875 + ], + [ + 5617117, + 7263171 + ], + [ + 41037286, + 25232727 + ], + [ + 77908398, + 4288261 + ], + [ + 69530554, + 13064765 + ], + [ + 53788821, + 41358487 + ], + [ + 36787940, + 48370224 + ], + [ + 7068474, + 50012453 + ], + [ + 7721718, + 11510105 + ], + [ + 22826056, + 33269389 + ], + [ + 97905608, + 20607913 + ], + [ + 51699187, + 38907496 + ], + [ + 20679641, + 27414664 + ], + [ + 22434020, + 99172203 + ], + [ + 80367341, + 95507189 + ], + [ + 78235522, + 38500934 + ], + [ + 14707729, + 19015223 + ], + [ + 16611626, + 69270037 + ], + [ + 67737320, + 53066285 + ], + [ + 8273613, + 11714651 + ], + [ + 93441488, + 10288566 + ], + [ + 39153789, + 40424440 + ], + [ + 33899154, + 10217100 + ], + [ + 43600767, + 658837 + ], + [ + 58562398, + 62038364 + ], + [ + 34596955, + 16516511 + ], + [ + 63616254, + 93560421 + ], + [ + 6192729, + 84724444 + ], + [ + 96803139, + 16778041 + ], + [ + 69819259, + 94140322 + ], + [ + 1627287, + 34681758 + ], + [ + 60503137, + 22084695 + ], + [ + 7253875, + 34414041 + ], + [ + 50637939, + 82137934 + ], + [ + 38217718, + 5130265 + ], + [ + 9287164, + 76840429 + ], + [ + 68392480, + 55829118 + ], + [ + 83823667, + 26790835 + ], + [ + 471245, + 27730698 + ], + [ + 7945240, + 17834227 + ], + [ + 52677885, + 79563146 + ], + [ + 76891248, + 25573443 + ], + [ + 20161665, + 27974427 + ], + [ + 18806843, + 38544787 + ], + [ + 44395096, + 45606055 + ], + [ + 2890182, + 99853790 + ], + [ + 30711620, + 28663006 + ], + [ + 82119314, + 48239409 + ], + [ + 16563967, + 57008388 + ], + [ + 11010594, + 19915511 + ], + [ + 91801889, + 74258321 + ], + [ + 72226407, + 48189874 + ], + [ + 77236629, + 62474625 + ], + [ + 60850726, + 52296711 + ], + [ + 84464106, + 94190545 + ], + [ + 36473172, + 89588557 + ], + [ + 98132701, + 810633 + ], + [ + 63916199, + 56845364 + ], + [ + 84343533, + 60996605 + ], + [ + 64849120, + 21947479 + ], + [ + 64367434, + 64036089 + ], + [ + 19580013, + 87066654 + ], + [ + 3562624, + 47638659 + ], + [ + 86710926, + 8046376 + ], + [ + 39313682, + 33017906 + ], + [ + 10744365, + 66024771 + ], + [ + 24688749, + 7158129 + ], + [ + 33551118, + 3781832 + ], + [ + 5855074, + 79236961 + ], + [ + 44941735, + 65610558 + ], + [ + 39006423, + 32056399 + ], + [ + 10742899, + 50967913 + ], + [ + 56724481, + 71780696 + ], + [ + 65859619, + 4906162 + ], + [ + 22655557, + 70376204 + ], + [ + 77877815, + 68393283 + ], + [ + 23828537, + 2157736 + ], + [ + 24736287, + 98865543 + ], + [ + 85051559, + 95989619 + ], + [ + 36885186, + 50763833 + ], + [ + 68660748, + 69237208 + ], + [ + 31245185, + 1817063 + ], + [ + 14594441, + 90569982 + ], + [ + 92100327, + 78566051 + ], + [ + 20507510, + 18227411 + ], + [ + 54487574, + 14412362 + ], + [ + 60771516, + 58590425 + ], + [ + 67854942, + 69073358 + ], + [ + 44095078, + 24201654 + ], + [ + 5199390, + 41382164 + ], + [ + 36872609, + 54930031 + ], + [ + 60705317, + 44193836 + ], + [ + 82037645, + 48594649 + ], + [ + 9542631, + 74030541 + ], + [ + 38095165, + 3830872 + ], + [ + 13102714, + 18000879 + ], + [ + 38396038, + 72725029 + ], + [ + 49308450, + 78589434 + ], + [ + 48578768, + 86091413 + ], + [ + 99545791, + 38780211 + ], + [ + 31786535, + 64490868 + ], + [ + 9265407, + 77861623 + ], + [ + 4979302, + 12482238 + ], + [ + 9455879, + 96557527 + ], + [ + 34221728, + 34005404 + ], + [ + 47690999, + 99390140 + ], + [ + 49130581, + 17705872 + ], + [ + 38596357, + 22066174 + ], + [ + 53916555, + 1556994 + ], + [ + 99839365, + 19059757 + ], + [ + 58711193, + 17273738 + ], + [ + 615187, + 73654556 + ], + [ + 80981459, + 91460735 + ], + [ + 86512987, + 75283854 + ], + [ + 68778530, + 87077702 + ], + [ + 80073162, + 58407673 + ], + [ + 51964702, + 77725569 + ], + [ + 59659048, + 26290407 + ], + [ + 58716412, + 30538564 + ], + [ + 79520189, + 4545426 + ], + [ + 25607502, + 48396940 + ], + [ + 3454923, + 95030030 + ], + [ + 5184195, + 38310227 + ], + [ + 70411850, + 54035589 + ], + [ + 34769461, + 37767122 + ], + [ + 30394969, + 41905926 + ], + [ + 45210787, + 49039293 + ], + [ + 27375742, + 10601253 + ], + [ + 26857796, + 35444773 + ], + [ + 27796846, + 320521 + ], + [ + 50556507, + 3467886 + ], + [ + 2842852, + 853504 + ], + [ + 76232117, + 73953351 + ], + [ + 5861994, + 31944950 + ], + [ + 23316363, + 88789351 + ], + [ + 7361041, + 82477450 + ], + [ + 58645643, + 16354960 + ], + [ + 43923615, + 37155999 + ], + [ + 35712207, + 27710674 + ], + [ + 84983340, + 58726899 + ], + [ + 25297294, + 60335865 + ], + [ + 65584945, + 99262361 + ], + [ + 22347960, + 68952592 + ], + [ + 83272233, + 64789397 + ], + [ + 75065293, + 49795759 + ], + [ + 88861460, + 12048091 + ], + [ + 94983102, + 72893398 + ], + [ + 19265917, + 55409747 + ], + [ + 64887751, + 52546598 + ], + [ + 2428735, + 73563285 + ], + [ + 69551213, + 53723912 + ], + [ + 61276149, + 49229496 + ], + [ + 62792922, + 33329246 + ], + [ + 40423637, + 62362396 + ], + [ + 26389356, + 98842533 + ], + [ + 72037993, + 62288159 + ], + [ + 54545675, + 12168863 + ], + [ + 25935444, + 79531419 + ], + [ + 77976350, + 77745778 + ], + [ + 25144460, + 32860997 + ], + [ + 85138875, + 26215618 + ], + [ + 36929440, + 84162664 + ], + [ + 48929474, + 13563927 + ], + [ + 72690305, + 83541515 + ], + [ + 72205325, + 79372429 + ], + [ + 39979710, + 28654782 + ], + [ + 51119764, + 28918299 + ], + [ + 97621957, + 93660731 + ], + [ + 76620134, + 3737579 + ], + [ + 99481548, + 54277137 + ], + [ + 29160752, + 25848010 + ], + [ + 95744067, + 81418710 + ], + [ + 80705837, + 47698821 + ], + [ + 36328256, + 33594905 + ], + [ + 55902996, + 66195854 + ], + [ + 55208297, + 42062070 + ], + [ + 77894993, + 72460935 + ], + [ + 24513986, + 56894980 + ], + [ + 44306413, + 96396323 + ], + [ + 52127559, + 71002937 + ], + [ + 2885863, + 15003243 + ], + [ + 42602561, + 4241103 + ], + [ + 42451692, + 4914651 + ], + [ + 32479726, + 6931080 + ], + [ + 81699833, + 62346279 + ], + [ + 89935700, + 65309506 + ], + [ + 28104656, + 13293084 + ], + [ + 52480688, + 36611321 + ], + [ + 93252448, + 80834464 + ], + [ + 87947906, + 52585340 + ], + [ + 43520806, + 12931897 + ], + [ + 29003826, + 95344064 + ], + [ + 38837172, + 46406010 + ], + [ + 81512071, + 80171955 + ], + [ + 31473900, + 98815918 + ], + [ + 10261886, + 64924534 + ], + [ + 66190350, + 88169142 + ], + [ + 34862330, + 86905915 + ], + [ + 29032859, + 34178902 + ], + [ + 90317639, + 80737414 + ], + [ + 71111283, + 59896950 + ], + [ + 14374026, + 19698938 + ], + [ + 21603683, + 33439888 + ], + [ + 47575322, + 91577593 + ], + [ + 78228185, + 37592513 + ], + [ + 19834029, + 23897976 + ], + [ + 12542126, + 50097884 + ], + [ + 56529267, + 7100178 + ], + [ + 10455502, + 7691635 + ], + [ + 46944684, + 1081216 + ], + [ + 3024227, + 24847733 + ], + [ + 15333410, + 30792138 + ], + [ + 96314287, + 34674162 + ], + [ + 66733417, + 94195732 + ], + [ + 22433549, + 38160459 + ], + [ + 16658523, + 56260757 + ], + [ + 75224248, + 86525535 + ], + [ + 23889943, + 63818446 + ], + [ + 72967459, + 40325057 + ], + [ + 51473024, + 73024074 + ], + [ + 66857583, + 52197402 + ], + [ + 38058893, + 26448714 + ], + [ + 93107967, + 66198093 + ], + [ + 78031306, + 83706335 + ], + [ + 48445033, + 15514416 + ], + [ + 72545322, + 2110383 + ], + [ + 93132922, + 54298776 + ], + [ + 42956808, + 22148899 + ], + [ + 41253146, + 75117847 + ], + [ + 64022035, + 84207570 + ], + [ + 90152783, + 54787394 + ], + [ + 95445364, + 29092969 + ], + [ + 59699399, + 65767026 + ], + [ + 99240340, + 17008161 + ], + [ + 5815023, + 71917860 + ], + [ + 50372325, + 6185281 + ], + [ + 25637510, + 88207750 + ], + [ + 88023415, + 10255734 + ], + [ + 76216692, + 34616537 + ], + [ + 4498200, + 43853081 + ], + [ + 59858941, + 89259896 + ], + [ + 51193699, + 46137862 + ], + [ + 42423814, + 7283462 + ], + [ + 98544379, + 87023293 + ], + [ + 73050189, + 64761507 + ], + [ + 15357569, + 94393334 + ], + [ + 91181017, + 23969047 + ], + [ + 46582494, + 38854014 + ], + [ + 26764297, + 44596159 + ], + [ + 98743914, + 68522297 + ], + [ + 25548354, + 45786646 + ], + [ + 71283300, + 16255638 + ], + [ + 26708150, + 921109 + ], + [ + 38272137, + 8659877 + ], + [ + 72215794, + 28263685 + ], + [ + 48847945, + 33038155 + ], + [ + 75996750, + 66157052 + ], + [ + 94564981, + 68288111 + ], + [ + 82076759, + 77171621 + ], + [ + 80893495, + 43091988 + ], + [ + 97693042, + 27876886 + ], + [ + 14549079, + 88687187 + ], + [ + 40672585, + 21869937 + ], + [ + 10081335, + 15339567 + ], + [ + 72727628, + 72518865 + ], + [ + 48575074, + 91104138 + ], + [ + 21201430, + 80192560 + ], + [ + 78153952, + 80543478 + ], + [ + 60981984, + 34379154 + ], + [ + 44991544, + 47610705 + ], + [ + 47586537, + 30125387 + ], + [ + 77470794, + 75032221 + ], + [ + 22077013, + 83193108 + ], + [ + 88967262, + 45165702 + ], + [ + 31060750, + 72500526 + ], + [ + 26904921, + 98107961 + ], + [ + 49575103, + 37592149 + ], + [ + 13070710, + 13546192 + ], + [ + 45965618, + 99357042 + ], + [ + 77412696, + 92346642 + ], + [ + 42307916, + 37342810 + ], + [ + 92578010, + 18099423 + ], + [ + 54075624, + 63592621 + ], + [ + 79899681, + 12054275 + ], + [ + 25018894, + 89029249 + ], + [ + 55814515, + 67524744 + ], + [ + 62182886, + 10974597 + ], + [ + 64721689, + 15168231 + ], + [ + 6343329, + 2642439 + ], + [ + 86813466, + 33196425 + ], + [ + 3983763, + 90069184 + ], + [ + 22708071, + 77607920 + ], + [ + 61642776, + 64446778 + ], + [ + 96615315, + 67166016 + ], + [ + 64816291, + 69500796 + ], + [ + 42242423, + 6876269 + ], + [ + 56508162, + 86524440 + ], + [ + 33239898, + 57557863 + ], + [ + 74937377, + 90546598 + ], + [ + 19363740, + 22208762 + ], + [ + 56434138, + 37416633 + ], + [ + 63086931, + 17666478 + ], + [ + 7850090, + 41202932 + ], + [ + 3189966, + 73924238 + ], + [ + 92385756, + 10085495 + ], + [ + 68547830, + 381576 + ], + [ + 36162116, + 75881459 + ], + [ + 97890845, + 87515114 + ], + [ + 99393320, + 51608012 + ], + [ + 26627274, + 88901319 + ], + [ + 50092717, + 17950563 + ], + [ + 13066496, + 34722948 + ], + [ + 64355121, + 20234076 + ], + [ + 35425307, + 2531572 + ], + [ + 24461435, + 20953803 + ], + [ + 35360012, + 32880362 + ], + [ + 26757230, + 95967872 + ], + [ + 91671471, + 93601255 + ], + [ + 67505619, + 28488093 + ], + [ + 17536312, + 32788329 + ], + [ + 50370253, + 55230072 + ], + [ + 43937569, + 2508656 + ], + [ + 28920133, + 76169798 + ], + [ + 5829660, + 22505010 + ], + [ + 99546180, + 62448288 + ], + [ + 64746822, + 89137145 + ], + [ + 61701470, + 31600277 + ], + [ + 96474506, + 19136469 + ], + [ + 21804321, + 22351556 + ], + [ + 60958927, + 47078841 + ], + [ + 57768749, + 74348944 + ], + [ + 19679173, + 81420174 + ], + [ + 80959259, + 38972866 + ], + [ + 3149610, + 14624472 + ], + [ + 78963167, + 2754466 + ], + [ + 5825251, + 51749375 + ], + [ + 24063259, + 33185288 + ], + [ + 64818250, + 84053742 + ], + [ + 45965857, + 91377815 + ], + [ + 10563762, + 63327508 + ], + [ + 66843009, + 16813920 + ], + [ + 50529532, + 19740960 + ], + [ + 29670885, + 82698685 + ], + [ + 12359634, + 20553802 + ], + [ + 87489900, + 4677318 + ], + [ + 67371062, + 6471897 + ], + [ + 30292078, + 63783982 + ], + [ + 4867425, + 75518790 + ], + [ + 18404406, + 61295538 + ], + [ + 69863499, + 15716328 + ], + [ + 32921281, + 38902065 + ], + [ + 13634143, + 11805281 + ], + [ + 67324759, + 75984397 + ], + [ + 69993604, + 22459055 + ], + [ + 51938542, + 6510802 + ], + [ + 64818318, + 11964591 + ], + [ + 76338600, + 83853020 + ], + [ + 1493361, + 37436541 + ], + [ + 27180744, + 60394374 + ], + [ + 1217832, + 69877080 + ], + [ + 40741774, + 73848731 + ], + [ + 31985680, + 27970229 + ], + [ + 95353636, + 62113729 + ], + [ + 44715082, + 9792501 + ], + [ + 27062322, + 18993169 + ], + [ + 62120494, + 4650820 + ], + [ + 41811064, + 27003376 + ], + [ + 15664338, + 51459884 + ], + [ + 95901500, + 78560856 + ], + [ + 86719238, + 33092461 + ], + [ + 21990672, + 63954290 + ], + [ + 1294794, + 48845582 + ], + [ + 6406491, + 71794223 + ], + [ + 3606528, + 56026839 + ], + [ + 36616734, + 12702230 + ], + [ + 74150140, + 62227134 + ], + [ + 6721751, + 52705297 + ], + [ + 45435108, + 46578661 + ], + [ + 41406610, + 5229306 + ], + [ + 84851757, + 1944078 + ], + [ + 86480830, + 27076960 + ], + [ + 98116781, + 43209422 + ], + [ + 86695838, + 76157819 + ], + [ + 51133424, + 76451359 + ], + [ + 94330248, + 54065197 + ], + [ + 12144672, + 88935598 + ], + [ + 67828503, + 31181607 + ], + [ + 23844056, + 17398023 + ], + [ + 7151735, + 73500130 + ], + [ + 60683171, + 6302978 + ], + [ + 98053016, + 62020216 + ], + [ + 98480436, + 11751538 + ], + [ + 72575969, + 90241142 + ], + [ + 71669573, + 28988493 + ], + [ + 49429644, + 42136828 + ], + [ + 21451695, + 45897967 + ], + [ + 56805351, + 67257573 + ], + [ + 25135489, + 87697511 + ], + [ + 77532154, + 82566115 + ], + [ + 55287995, + 21551859 + ], + [ + 92449609, + 27114548 + ], + [ + 97258416, + 57029763 + ], + [ + 90860263, + 47875214 + ], + [ + 53444104, + 48782689 + ], + [ + 25705741, + 51152926 + ], + [ + 55705177, + 87668109 + ], + [ + 41809585, + 81383511 + ], + [ + 31411874, + 50758493 + ], + [ + 83036869, + 53200116 + ], + [ + 21960308, + 11206238 + ], + [ + 82222834, + 37465763 + ], + [ + 4417232, + 33234529 + ], + [ + 78914105, + 51573367 + ], + [ + 56877246, + 70129586 + ], + [ + 60680481, + 53307390 + ], + [ + 180288, + 23148335 + ], + [ + 69726487, + 46136523 + ], + [ + 77308821, + 35643638 + ], + [ + 50942169, + 76712201 + ], + [ + 65151496, + 52907407 + ], + [ + 95086128, + 10053434 + ], + [ + 85172662, + 49214913 + ], + [ + 13029357, + 84660836 + ], + [ + 59105297, + 93782250 + ], + [ + 92650422, + 41902472 + ], + [ + 32565185, + 38467958 + ], + [ + 18765954, + 7202374 + ], + [ + 17830316, + 25232859 + ], + [ + 77651615, + 98442658 + ], + [ + 94319966, + 93120304 + ], + [ + 8243295, + 86734574 + ], + [ + 90986477, + 81494587 + ], + [ + 57835382, + 34632200 + ], + [ + 69848099, + 17014047 + ], + [ + 26651670, + 41680046 + ], + [ + 90526249, + 77219226 + ], + [ + 26612087, + 53541382 + ], + [ + 70984080, + 382857 + ], + [ + 28815470, + 32562812 + ], + [ + 16103912, + 43815618 + ], + [ + 92843804, + 17951875 + ], + [ + 43358737, + 24807496 + ], + [ + 67694526, + 7281447 + ], + [ + 99681353, + 95283808 + ], + [ + 81135694, + 15741364 + ], + [ + 62697709, + 14963058 + ], + [ + 6032775, + 46956265 + ], + [ + 59057953, + 80718311 + ], + [ + 47230759, + 39584433 + ], + [ + 23255029, + 18391687 + ], + [ + 17531131, + 97324292 + ], + [ + 29659323, + 3243730 + ], + [ + 88959963, + 29612901 + ], + [ + 64750394, + 57194567 + ], + [ + 21707813, + 23792031 + ], + [ + 40611111, + 76889628 + ], + [ + 18476914, + 88162105 + ], + [ + 34029608, + 91268518 + ], + [ + 65301287, + 54594 + ], + [ + 5385857, + 13295199 + ], + [ + 12463625, + 96471127 + ], + [ + 40478996, + 25521421 + ], + [ + 66433685, + 67913449 + ], + [ + 88202981, + 52032462 + ], + [ + 6010128, + 31802492 + ], + [ + 11942052, + 6596082 + ], + [ + 61550662, + 91836778 + ], + [ + 36813453, + 91110005 + ], + [ + 22540138, + 1833373 + ], + [ + 80276726, + 50594288 + ], + [ + 45805174, + 64946228 + ], + [ + 42912545, + 91712160 + ], + [ + 86770126, + 61826188 + ], + [ + 39945978, + 48712478 + ], + [ + 27383152, + 3376451 + ], + [ + 72687207, + 83409608 + ], + [ + 38306465, + 63689935 + ], + [ + 58865953, + 69911840 + ], + [ + 68513042, + 99170395 + ], + [ + 77140156, + 76509182 + ], + [ + 32608960, + 83149075 + ], + [ + 59556357, + 46780933 + ], + [ + 39414900, + 16363316 + ], + [ + 60591297, + 15881752 + ], + [ + 35973288, + 62061343 + ], + [ + 52589351, + 74674796 + ], + [ + 70380070, + 47158185 + ], + [ + 27432315, + 90966160 + ], + [ + 88253522, + 42437689 + ], + [ + 56128479, + 18081740 + ], + [ + 41892146, + 40698839 + ], + [ + 97373063, + 63836004 + ], + [ + 88401172, + 20444743 + ], + [ + 16552334, + 62154314 + ], + [ + 23264810, + 15304464 + ], + [ + 23846170, + 2130161 + ], + [ + 95988205, + 70937901 + ], + [ + 42186047, + 96894810 + ], + [ + 7326330, + 49048911 + ], + [ + 51674071, + 22134840 + ], + [ + 19958047, + 18207797 + ], + [ + 10998295, + 79207104 + ], + [ + 55393805, + 77805523 + ], + [ + 9289452, + 18252110 + ], + [ + 1493958, + 71712384 + ], + [ + 12919225, + 56861344 + ], + [ + 51107941, + 25640472 + ], + [ + 57984361, + 90436645 + ], + [ + 19185242, + 87093543 + ], + [ + 49226386, + 27836833 + ], + [ + 39061175, + 19935834 + ], + [ + 1290187, + 39739155 + ], + [ + 23705170, + 42929260 + ], + [ + 9286176, + 19436006 + ], + [ + 40686991, + 93985602 + ], + [ + 81250842, + 67229182 + ], + [ + 97908937, + 1588794 + ], + [ + 26152281, + 3702850 + ], + [ + 92028470, + 32635860 + ], + [ + 44864702, + 53860936 + ], + [ + 16234543, + 68027014 + ], + [ + 95250678, + 5653353 + ], + [ + 92443651, + 2701777 + ], + [ + 83427577, + 51932345 + ], + [ + 40899667, + 69190608 + ], + [ + 60811950, + 51768079 + ], + [ + 88966960, + 57730350 + ], + [ + 1752298, + 70643382 + ], + [ + 72562320, + 84744953 + ], + [ + 272378, + 61622758 + ], + [ + 64800083, + 11105555 + ], + [ + 28111177, + 16577649 + ], + [ + 50250790, + 13483620 + ], + [ + 47535931, + 86151421 + ], + [ + 18196384, + 54643188 + ], + [ + 88435051, + 79395193 + ], + [ + 11978252, + 33974505 + ], + [ + 4515605, + 59246415 + ], + [ + 15615721, + 14972255 + ], + [ + 31745915, + 40076721 + ], + [ + 53636556, + 86044926 + ], + [ + 19111326, + 68147029 + ], + [ + 82614542, + 48756489 + ], + [ + 51132268, + 20791369 + ], + [ + 59355665, + 14224618 + ], + [ + 37501619, + 11626576 + ], + [ + 4116528, + 76070557 + ], + [ + 28483530, + 34039506 + ], + [ + 3907722, + 32780037 + ], + [ + 42038281, + 36161371 + ], + [ + 25994776, + 51013996 + ], + [ + 38298093, + 44799808 + ], + [ + 8901923, + 53577626 + ], + [ + 47918752, + 8228455 + ], + [ + 45764536, + 66831034 + ], + [ + 45130586, + 11878584 + ], + [ + 89873287, + 7081196 + ], + [ + 69999853, + 87607586 + ], + [ + 22972688, + 96535392 + ], + [ + 85250468, + 98515923 + ], + [ + 1539721, + 30356043 + ], + [ + 78105117, + 22078198 + ], + [ + 44384952, + 69931197 + ], + [ + 697456, + 11361180 + ], + [ + 48755004, + 38604900 + ], + [ + 1686314, + 19153464 + ], + [ + 67933488, + 82343737 + ], + [ + 45926778, + 65138384 + ], + [ + 36335299, + 94031255 + ], + [ + 57361164, + 43845976 + ], + [ + 77005806, + 81946529 + ], + [ + 20341866, + 2140456 + ], + [ + 53526088, + 97037379 + ], + [ + 55254325, + 16823021 + ], + [ + 91245673, + 496738 + ], + [ + 88948114, + 39136825 + ], + [ + 98063425, + 12034135 + ], + [ + 7655781, + 12022756 + ], + [ + 3728113, + 35983701 + ], + [ + 49891602, + 8983667 + ], + [ + 68179092, + 80415516 + ], + [ + 90242378, + 26437076 + ], + [ + 51031582, + 658045 + ], + [ + 41777045, + 85680896 + ], + [ + 23603393, + 75297652 + ], + [ + 42598358, + 86002197 + ], + [ + 54784649, + 10505370 + ], + [ + 96278097, + 98222297 + ], + [ + 1122927, + 88828519 + ], + [ + 45104229, + 81459363 + ], + [ + 69157812, + 72897590 + ], + [ + 29044977, + 10595356 + ], + [ + 3890186, + 99537515 + ], + [ + 41829092, + 7566526 + ], + [ + 37021556, + 74193971 + ], + [ + 20372187, + 44415117 + ], + [ + 48508970, + 45207953 + ], + [ + 20203500, + 10803835 + ], + [ + 19636899, + 64483071 + ], + [ + 9568033, + 72858465 + ], + [ + 5501356, + 15261175 + ], + [ + 74849462, + 41037738 + ], + [ + 41721948, + 44622350 + ], + [ + 33339712, + 87197193 + ], + [ + 98732699, + 59554023 + ], + [ + 82043336, + 13738881 + ], + [ + 82687374, + 58297651 + ], + [ + 26361284, + 41833724 + ], + [ + 39213773, + 23921883 + ], + [ + 16267780, + 32152835 + ], + [ + 48489606, + 15660093 + ], + [ + 57041882, + 48365179 + ], + [ + 55424746, + 3726227 + ], + [ + 72662227, + 62889473 + ], + [ + 63257382, + 5927416 + ], + [ + 22640049, + 73187086 + ], + [ + 69370039, + 35544745 + ], + [ + 14114792, + 73351996 + ], + [ + 56808598, + 10048444 + ], + [ + 2396491, + 92981848 + ], + [ + 64532570, + 70315442 + ], + [ + 37532271, + 66758657 + ], + [ + 28331081, + 41219996 + ], + [ + 2224264, + 95352777 + ], + [ + 39867757, + 37108553 + ], + [ + 10226570, + 14551206 + ], + [ + 63821171, + 33060995 + ], + [ + 97518102, + 10278466 + ], + [ + 83193255, + 5206213 + ], + [ + 87422470, + 97796076 + ], + [ + 37245345, + 54541624 + ], + [ + 86266395, + 23476510 + ], + [ + 91580926, + 62456760 + ], + [ + 65953471, + 63351653 + ], + [ + 43303184, + 79160308 + ], + [ + 84064629, + 8195053 + ], + [ + 36087897, + 93288103 + ], + [ + 75050239, + 83444883 + ], + [ + 2838585, + 15038999 + ], + [ + 4961105, + 95749106 + ], + [ + 89322015, + 92542489 + ], + [ + 12863061, + 70136048 + ], + [ + 71003671, + 51840928 + ], + [ + 58522821, + 55327353 + ], + [ + 2890689, + 92422295 + ], + [ + 18935871, + 69564704 + ], + [ + 25383295, + 38032456 + ], + [ + 74758913, + 43992922 + ], + [ + 97521121, + 21030697 + ], + [ + 82215256, + 77081592 + ], + [ + 41422818, + 69485886 + ], + [ + 92033002, + 46880585 + ], + [ + 54741382, + 5112312 + ], + [ + 36784407, + 33967689 + ], + [ + 77136166, + 53252032 + ], + [ + 26525152, + 66916756 + ], + [ + 17773299, + 57604170 + ], + [ + 96740942, + 44975930 + ], + [ + 95000261, + 57797588 + ], + [ + 53456274, + 17297970 + ], + [ + 25772365, + 48831820 + ], + [ + 36547013, + 56401657 + ], + [ + 30889767, + 99363053 + ], + [ + 95340499, + 57601630 + ], + [ + 6283047, + 24659385 + ], + [ + 88341272, + 78556656 + ], + [ + 97653077, + 18206648 + ], + [ + 82283411, + 55258792 + ], + [ + 88497659, + 18756110 + ], + [ + 19281589, + 5038352 + ], + [ + 11583596, + 70386404 + ], + [ + 74672054, + 29222439 + ], + [ + 9739037, + 46417129 + ], + [ + 94846285, + 71081594 + ], + [ + 54932502, + 98313537 + ], + [ + 71649311, + 42991142 + ], + [ + 71692418, + 88820264 + ], + [ + 34160207, + 64771030 + ], + [ + 18349909, + 86171469 + ], + [ + 89238266, + 13393988 + ], + [ + 65191509, + 2487074 + ], + [ + 88054416, + 80218742 + ], + [ + 72352236, + 7573334 + ], + [ + 78770879, + 58319736 + ], + [ + 74654621, + 73136797 + ], + [ + 33346493, + 87659108 + ], + [ + 19780166, + 29002478 + ], + [ + 56527101, + 14312893 + ], + [ + 12998052, + 22467288 + ], + [ + 47980876, + 76097522 + ], + [ + 19858619, + 53562866 + ], + [ + 2539448, + 27110525 + ], + [ + 33140286, + 47350008 + ], + [ + 61682286, + 39951231 + ], + [ + 11266628, + 65029386 + ], + [ + 69203985, + 54774553 + ], + [ + 28988250, + 61101621 + ], + [ + 92899750, + 36769441 + ], + [ + 32864670, + 52221034 + ], + [ + 14077849, + 89655474 + ], + [ + 87150663, + 41942355 + ], + [ + 72466844, + 42461164 + ], + [ + 97154539, + 94598591 + ], + [ + 48688226, + 64332983 + ], + [ + 71827431, + 86609030 + ], + [ + 50277321, + 62913524 + ], + [ + 35077868, + 98540686 + ], + [ + 98747410, + 34468558 + ], + [ + 55003652, + 31231544 + ], + [ + 39377268, + 8436156 + ], + [ + 40189907, + 89340910 + ], + [ + 46853734, + 79619599 + ], + [ + 64532191, + 89962952 + ], + [ + 61628526, + 41461721 + ], + [ + 15780525, + 241855 + ], + [ + 43170315, + 44486072 + ], + [ + 48877320, + 86577844 + ], + [ + 68941091, + 86142753 + ], + [ + 42508932, + 18719179 + ], + [ + 18159831, + 77741389 + ], + [ + 49479984, + 93628304 + ], + [ + 78918325, + 80890704 + ], + [ + 38453503, + 31043695 + ], + [ + 59142251, + 75361407 + ], + [ + 97525, + 53812897 + ], + [ + 15663664, + 21129821 + ], + [ + 20736826, + 90107229 + ], + [ + 63150426, + 9762637 + ], + [ + 28631337, + 91042151 + ], + [ + 37105923, + 99206513 + ], + [ + 91486628, + 42661962 + ], + [ + 96464979, + 18395125 + ], + [ + 72848013, + 32740947 + ], + [ + 58658327, + 61764927 + ], + [ + 38075721, + 98287101 + ], + [ + 92339636, + 48194697 + ], + [ + 48351272, + 67469699 + ], + [ + 51126828, + 81376208 + ], + [ + 33819131, + 68163331 + ], + [ + 87239073, + 6835725 + ], + [ + 66089315, + 50028446 + ], + [ + 34755518, + 25713386 + ], + [ + 1640037, + 45506218 + ], + [ + 74211485, + 72620582 + ], + [ + 26407712, + 45950984 + ], + [ + 4087305, + 15727811 + ], + [ + 96745162, + 53536356 + ], + [ + 60009595, + 97088808 + ], + [ + 33295164, + 89817827 + ], + [ + 64173759, + 32724778 + ], + [ + 21235517, + 47461036 + ], + [ + 63725405, + 10080645 + ], + [ + 5379911, + 9267580 + ], + [ + 56452563, + 50944461 + ], + [ + 65667438, + 82814489 + ], + [ + 36494794, + 72188245 + ], + [ + 10059895, + 14829427 + ], + [ + 7554674, + 45038275 + ], + [ + 57155442, + 13432031 + ], + [ + 40795416, + 49613929 + ], + [ + 69252705, + 76675447 + ], + [ + 8005723, + 89645975 + ], + [ + 89875902, + 25519521 + ], + [ + 61043128, + 70073981 + ], + [ + 46363785, + 10935635 + ], + [ + 48599806, + 19736750 + ], + [ + 43286195, + 88659327 + ], + [ + 7285753, + 38873838 + ], + [ + 88534557, + 31991271 + ], + [ + 35566867, + 23003568 + ], + [ + 85459994, + 54565607 + ], + [ + 7994554, + 2816693 + ], + [ + 28388161, + 36659810 + ], + [ + 40339679, + 91969203 + ], + [ + 51372551, + 48424339 + ], + [ + 27716733, + 19937386 + ], + [ + 95746681, + 95316814 + ], + [ + 39332188, + 21282496 + ], + [ + 97319845, + 32012864 + ], + [ + 55957308, + 83919791 + ], + [ + 39215273, + 18952097 + ], + [ + 64896402, + 5332615 + ], + [ + 15156149, + 43577783 + ], + [ + 55942912, + 61701095 + ], + [ + 90348170, + 12538102 + ], + [ + 36990299, + 56487273 + ], + [ + 94713223, + 96887148 + ], + [ + 34952729, + 4016452 + ], + [ + 23207627, + 25281610 + ], + [ + 79825270, + 12671154 + ], + [ + 89124055, + 37276780 + ], + [ + 28382885, + 71593295 + ], + [ + 40359216, + 23858145 + ], + [ + 99631982, + 12010048 + ], + [ + 17786795, + 18524213 + ], + [ + 21836207, + 32872522 + ], + [ + 33476203, + 46837426 + ], + [ + 13968469, + 5068513 + ], + [ + 5009903, + 58388842 + ], + [ + 71465887, + 10328273 + ], + [ + 62483220, + 88578740 + ], + [ + 37064298, + 21189228 + ], + [ + 38354295, + 47891369 + ], + [ + 28387667, + 72288016 + ], + [ + 79891549, + 42552943 + ], + [ + 42773142, + 22473788 + ], + [ + 58899191, + 40634145 + ], + [ + 78231182, + 17093056 + ], + [ + 92445977, + 75002755 + ], + [ + 90414655, + 56167158 + ], + [ + 51669777, + 41167459 + ], + [ + 65417856, + 79730186 + ], + [ + 65450989, + 48448743 + ], + [ + 75587669, + 85363682 + ], + [ + 78875065, + 89972098 + ], + [ + 95989390, + 23326055 + ], + [ + 32940915, + 30609551 + ], + [ + 2749902, + 10839975 + ], + [ + 24232187, + 69168981 + ], + [ + 94129442, + 84413208 + ], + [ + 81638860, + 94347090 + ], + [ + 83817386, + 76652290 + ], + [ + 24942087, + 35760921 + ], + [ + 56687042, + 75488123 + ], + [ + 42840942, + 52015048 + ], + [ + 22636310, + 75158610 + ], + [ + 46319179, + 45620119 + ], + [ + 79216083, + 27296329 + ], + [ + 47776080, + 480058 + ], + [ + 48350309, + 96052299 + ], + [ + 75492281, + 24721543 + ], + [ + 95462063, + 86793075 + ], + [ + 38797086, + 58734765 + ], + [ + 63107003, + 4432040 + ], + [ + 7743256, + 14053728 + ], + [ + 61363360, + 55549678 + ], + [ + 33128330, + 71882607 + ], + [ + 63095422, + 47057238 + ], + [ + 10777535, + 44857430 + ], + [ + 60750002, + 69420887 + ], + [ + 99558187, + 70698566 + ], + [ + 87593532, + 38091371 + ], + [ + 31907604, + 32123342 + ], + [ + 10093053, + 8964146 + ], + [ + 90657432, + 85262355 + ], + [ + 62078955, + 22514684 + ], + [ + 61671685, + 16061074 + ], + [ + 79304311, + 53211153 + ], + [ + 54804294, + 17432649 + ], + [ + 40224541, + 14367327 + ], + [ + 76817508, + 54987913 + ], + [ + 79766401, + 53832699 + ], + [ + 57422965, + 49950873 + ], + [ + 31542860, + 55641485 + ], + [ + 27147813, + 2402912 + ], + [ + 71335370, + 91374150 + ], + [ + 82012900, + 98976811 + ], + [ + 35874337, + 86633437 + ], + [ + 18628954, + 45980943 + ], + [ + 38028378, + 76045272 + ], + [ + 15770549, + 6653983 + ], + [ + 28326836, + 42901454 + ], + [ + 70690127, + 738557 + ], + [ + 15018999, + 78013467 + ], + [ + 49988728, + 39784106 + ], + [ + 5257357, + 51843453 + ], + [ + 36932790, + 64919809 + ], + [ + 5762144, + 8135842 + ], + [ + 10421396, + 62593716 + ], + [ + 10704368, + 11105988 + ], + [ + 31939258, + 19986422 + ], + [ + 40852842, + 69910696 + ], + [ + 33570901, + 27508515 + ], + [ + 34036013, + 35011262 + ], + [ + 67117737, + 55984965 + ], + [ + 54730096, + 50221921 + ], + [ + 11268874, + 34851578 + ], + [ + 67435810, + 32126249 + ], + [ + 29425345, + 97257929 + ], + [ + 36137760, + 76590641 + ], + [ + 26915733, + 34462661 + ], + [ + 59617487, + 87677881 + ], + [ + 95530993, + 56602368 + ], + [ + 49601846, + 940014 + ], + [ + 67091601, + 31423586 + ], + [ + 67123046, + 89752972 + ], + [ + 68004834, + 88873780 + ], + [ + 66176548, + 35425772 + ], + [ + 84998315, + 68588774 + ], + [ + 67025565, + 53745248 + ], + [ + 68162896, + 51660367 + ], + [ + 3072589, + 39131019 + ], + [ + 51577525, + 89531127 + ], + [ + 76728718, + 79441551 + ], + [ + 38547451, + 9318386 + ], + [ + 38832311, + 13867790 + ], + [ + 98688719, + 27567805 + ], + [ + 73376168, + 22027633 + ], + [ + 25484462, + 36597801 + ], + [ + 63331358, + 91765702 + ], + [ + 33606648, + 95782729 + ], + [ + 53520083, + 73109229 + ], + [ + 1197600, + 12606691 + ], + [ + 87226614, + 37289973 + ], + [ + 2645356, + 65277694 + ], + [ + 97926690, + 54948740 + ], + [ + 80423082, + 17109904 + ], + [ + 74234981, + 15781995 + ], + [ + 10430412, + 90220317 + ], + [ + 7240910, + 36718402 + ], + [ + 65701811, + 970568 + ], + [ + 44997180, + 92506486 + ], + [ + 50129986, + 3071680 + ], + [ + 27653373, + 5539781 + ], + [ + 88181982, + 63346148 + ], + [ + 13855062, + 85869980 + ], + [ + 8718285, + 5256230 + ], + [ + 6798209, + 72458214 + ], + [ + 63461197, + 33322518 + ], + [ + 39684429, + 78732390 + ], + [ + 78765981, + 36983591 + ], + [ + 60013702, + 74656115 + ], + [ + 37059075, + 63417046 + ], + [ + 21288209, + 6485392 + ], + [ + 24108160, + 13411760 + ], + [ + 78624646, + 23611099 + ], + [ + 38163544, + 2069859 + ], + [ + 31634746, + 25734682 + ], + [ + 56815577, + 18903631 + ], + [ + 12756303, + 35628865 + ], + [ + 11323973, + 45193111 + ], + [ + 85019304, + 68738774 + ], + [ + 91710058, + 3451909 + ], + [ + 83384430, + 56264409 + ], + [ + 54565574, + 59152196 + ], + [ + 11221152, + 88908668 + ], + [ + 67422270, + 74722124 + ], + [ + 9415298, + 6778333 + ], + [ + 59539361, + 30234948 + ], + [ + 79886658, + 75103648 + ], + [ + 2474029, + 68785592 + ], + [ + 34580776, + 39991940 + ], + [ + 84041525, + 65946125 + ], + [ + 74257926, + 36501365 + ], + [ + 56105179, + 43815211 + ], + [ + 53482096, + 59333081 + ], + [ + 39817362, + 60880679 + ], + [ + 99563226, + 34522455 + ], + [ + 89664242, + 4437285 + ], + [ + 2733329, + 83077637 + ], + [ + 96150918, + 64678202 + ], + [ + 86300190, + 10941011 + ], + [ + 3924647, + 88515685 + ], + [ + 65100912, + 2711769 + ], + [ + 45209421, + 78558004 + ], + [ + 12388758, + 52484640 + ], + [ + 46527920, + 34768358 + ], + [ + 44247692, + 70917294 + ], + [ + 36789333, + 90947175 + ], + [ + 37121769, + 16675489 + ], + [ + 67657856, + 36791191 + ], + [ + 96479723, + 90024787 + ], + [ + 78942793, + 11059964 + ], + [ + 25716232, + 65668332 + ], + [ + 36457796, + 800561 + ], + [ + 43820085, + 53964781 + ], + [ + 41450298, + 69980491 + ], + [ + 45238327, + 33074873 + ], + [ + 14058129, + 71026851 + ], + [ + 36846643, + 6294578 + ], + [ + 50265369, + 23577874 + ], + [ + 24220314, + 43837310 + ], + [ + 43124970, + 29706869 + ], + [ + 36824652, + 44442686 + ], + [ + 65973875, + 89503417 + ], + [ + 95355227, + 4483399 + ], + [ + 89698193, + 46931772 + ], + [ + 48537093, + 49643531 + ], + [ + 82291178, + 3522926 + ], + [ + 86077557, + 16506383 + ], + [ + 69512269, + 32024942 + ], + [ + 14675785, + 76890481 + ], + [ + 39916671, + 79523171 + ], + [ + 68517840, + 18656924 + ], + [ + 13880842, + 24209295 + ], + [ + 97518727, + 21644143 + ], + [ + 99286424, + 82599219 + ], + [ + 36917506, + 43572280 + ], + [ + 88214459, + 34391742 + ], + [ + 33894355, + 23198997 + ], + [ + 29628544, + 10787671 + ], + [ + 95656002, + 55466396 + ], + [ + 58379551, + 64537436 + ], + [ + 78838807, + 41077372 + ], + [ + 60749271, + 54178917 + ], + [ + 23976984, + 10089104 + ], + [ + 26340016, + 52514296 + ], + [ + 67777847, + 32756562 + ], + [ + 92854656, + 2493050 + ], + [ + 86994537, + 42294129 + ], + [ + 79494925, + 23857568 + ], + [ + 48076185, + 45927353 + ], + [ + 52201839, + 58012461 + ], + [ + 30186376, + 88269068 + ], + [ + 77525815, + 79772640 + ], + [ + 43479568, + 32189794 + ], + [ + 38789259, + 10465701 + ], + [ + 15229473, + 45027130 + ], + [ + 96432594, + 88202153 + ], + [ + 73657188, + 23423609 + ], + [ + 89409964, + 84695147 + ], + [ + 51497634, + 26919457 + ], + [ + 98636649, + 17182311 + ], + [ + 81974203, + 82089740 + ], + [ + 78001207, + 95296228 + ], + [ + 91164978, + 98603756 + ], + [ + 59424276, + 41025155 + ], + [ + 46895863, + 73525957 + ], + [ + 42411711, + 19257368 + ], + [ + 815609, + 44897298 + ], + [ + 57711439, + 65825907 + ], + [ + 59210928, + 27431941 + ], + [ + 91773347, + 75749809 + ], + [ + 86741646, + 57777053 + ], + [ + 52394372, + 76765610 + ], + [ + 67882953, + 73880021 + ], + [ + 10970159, + 55260702 + ], + [ + 87675549, + 250562 + ], + [ + 1117502, + 90564020 + ], + [ + 97210429, + 74507033 + ], + [ + 79481553, + 94396039 + ], + [ + 87396109, + 79786292 + ], + [ + 16597491, + 78759443 + ], + [ + 9077342, + 76194392 + ], + [ + 90020291, + 75401430 + ], + [ + 88164757, + 99725609 + ], + [ + 25856915, + 3042737 + ], + [ + 85349191, + 51496743 + ], + [ + 47410934, + 49156116 + ], + [ + 55405795, + 55387882 + ], + [ + 82324252, + 89793987 + ], + [ + 91287805, + 60603116 + ], + [ + 97845140, + 10840928 + ], + [ + 45873548, + 1170494 + ], + [ + 83647720, + 14807237 + ], + [ + 79244673, + 54882372 + ], + [ + 27017100, + 79068067 + ], + [ + 81475482, + 11179221 + ], + [ + 97363169, + 60200666 + ], + [ + 49897112, + 76692352 + ], + [ + 62506520, + 87322712 + ], + [ + 40762716, + 84448908 + ], + [ + 97918781, + 55709037 + ], + [ + 6444603, + 62304500 + ], + [ + 62454612, + 75211023 + ], + [ + 93327630, + 31664624 + ], + [ + 4575865, + 36582245 + ], + [ + 44296746, + 67124687 + ], + [ + 86915, + 12332092 + ], + [ + 46026995, + 20675987 + ], + [ + 21818322, + 27353228 + ], + [ + 41235811, + 54491010 + ], + [ + 1263173, + 5965348 + ], + [ + 40745177, + 33060909 + ], + [ + 24319382, + 44502872 + ], + [ + 9730601, + 71566654 + ], + [ + 980329, + 41893164 + ], + [ + 47872927, + 26522923 + ], + [ + 4938780, + 43837390 + ], + [ + 23947237, + 5116211 + ], + [ + 41957953, + 89876165 + ], + [ + 94884816, + 13133415 + ], + [ + 87767398, + 42213262 + ], + [ + 65559580, + 78335237 + ], + [ + 81270343, + 15841604 + ], + [ + 36143056, + 93351712 + ], + [ + 25701707, + 30368818 + ], + [ + 6428143, + 79304940 + ], + [ + 37103286, + 29236018 + ], + [ + 10911119, + 38414517 + ], + [ + 83899342, + 22407648 + ], + [ + 93939927, + 70381829 + ], + [ + 9428966, + 549184 + ], + [ + 97040752, + 39974435 + ], + [ + 6633278, + 49530402 + ], + [ + 49904306, + 24393891 + ], + [ + 25945132, + 82041214 + ], + [ + 87578203, + 75984340 + ], + [ + 74783948, + 95301644 + ], + [ + 76800130, + 3557534 + ], + [ + 43305546, + 13355557 + ], + [ + 15721286, + 97382118 + ], + [ + 16164896, + 29680578 + ], + [ + 92657632, + 99187968 + ], + [ + 23041021, + 57288496 + ], + [ + 20865141, + 29489674 + ], + [ + 29546698, + 20804569 + ], + [ + 82215809, + 96985657 + ], + [ + 9183365, + 47781160 + ], + [ + 6818258, + 57584096 + ], + [ + 59094934, + 8300636 + ], + [ + 28749569, + 29633656 + ], + [ + 14974382, + 21924972 + ], + [ + 97304836, + 83852256 + ], + [ + 80973631, + 223314 + ], + [ + 33442582, + 99740436 + ], + [ + 77653822, + 19614652 + ], + [ + 20289471, + 77887419 + ], + [ + 98495074, + 46873825 + ], + [ + 12921769, + 40290771 + ], + [ + 41776706, + 80348953 + ], + [ + 89548282, + 10932997 + ], + [ + 17885536, + 57092830 + ], + [ + 31214963, + 66738930 + ], + [ + 47660858, + 22635017 + ], + [ + 13901729, + 49613584 + ], + [ + 6708075, + 5411694 + ], + [ + 96920383, + 65570158 + ], + [ + 64176219, + 51636027 + ], + [ + 20932808, + 54587589 + ], + [ + 25306280, + 45447188 + ], + [ + 92990852, + 24691972 + ], + [ + 8702257, + 62435577 + ], + [ + 91741096, + 91789532 + ], + [ + 26173073, + 18785621 + ], + [ + 20400070, + 7771910 + ], + [ + 10080435, + 1338568 + ], + [ + 90171642, + 95192273 + ], + [ + 35849415, + 51175359 + ], + [ + 70122873, + 13099441 + ], + [ + 63277125, + 19381381 + ], + [ + 13709549, + 38845698 + ], + [ + 77127529, + 83652349 + ], + [ + 58413045, + 70243264 + ], + [ + 52244955, + 19031660 + ], + [ + 8880546, + 38643197 + ], + [ + 9413831, + 43408376 + ], + [ + 40347541, + 31309243 + ], + [ + 33251498, + 6939188 + ], + [ + 34450903, + 69978424 + ], + [ + 667478, + 35711727 + ], + [ + 26462886, + 91481027 + ], + [ + 20657151, + 81523172 + ], + [ + 70823266, + 99506277 + ], + [ + 6604423, + 17219441 + ], + [ + 94630009, + 44909890 + ], + [ + 5232768, + 96321795 + ], + [ + 56047745, + 88319068 + ], + [ + 24111495, + 41387233 + ], + [ + 32720349, + 66105893 + ], + [ + 33620040, + 4148200 + ], + [ + 57186961, + 99084300 + ], + [ + 86674653, + 46983420 + ], + [ + 58997842, + 41228633 + ], + [ + 90571261, + 73482818 + ], + [ + 18742360, + 32460488 + ], + [ + 16014715, + 11161401 + ], + [ + 18403904, + 75287046 + ], + [ + 68917846, + 89874394 + ], + [ + 22128445, + 31856650 + ], + [ + 84291470, + 84505262 + ], + [ + 58952195, + 21984207 + ], + [ + 21043324, + 85949888 + ], + [ + 11905901, + 82870864 + ], + [ + 84174971, + 47704120 + ], + [ + 82192065, + 2831133 + ], + [ + 26585877, + 27849372 + ], + [ + 15396527, + 59984844 + ], + [ + 6375041, + 6341533 + ], + [ + 24784602, + 22205010 + ], + [ + 69125881, + 20373593 + ], + [ + 29661786, + 76479930 + ], + [ + 6656319, + 54057211 + ], + [ + 84568453, + 68426648 + ], + [ + 75779206, + 51055914 + ], + [ + 61111807, + 25615094 + ], + [ + 53738959, + 98555573 + ], + [ + 51074870, + 91601648 + ], + [ + 77280156, + 97140462 + ], + [ + 67944618, + 69722970 + ], + [ + 94694441, + 32968101 + ], + [ + 35939941, + 94452737 + ], + [ + 82078185, + 77286415 + ], + [ + 23693064, + 87685863 + ], + [ + 96730863, + 6792282 + ], + [ + 87028023, + 64063647 + ], + [ + 71694220, + 38721495 + ], + [ + 36177297, + 97665664 + ], + [ + 66018055, + 30614777 + ], + [ + 74763740, + 30461803 + ], + [ + 84575401, + 36450880 + ], + [ + 48975042, + 77689672 + ], + [ + 65944949, + 31042176 + ], + [ + 78764002, + 7328607 + ], + [ + 69602666, + 26576151 + ], + [ + 56412171, + 36727298 + ], + [ + 59966549, + 7467773 + ], + [ + 24085416, + 21826525 + ], + [ + 48750189, + 80229148 + ], + [ + 53988901, + 38572206 + ], + [ + 36152173, + 71237413 + ], + [ + 12152217, + 87507985 + ], + [ + 4449750, + 64635883 + ], + [ + 63884720, + 51784585 + ], + [ + 7459242, + 55195822 + ], + [ + 12791201, + 35411142 + ], + [ + 45799878, + 72158711 + ], + [ + 69264537, + 46186356 + ], + [ + 99254415, + 83036171 + ], + [ + 92416971, + 70309795 + ], + [ + 39383150, + 39008375 + ], + [ + 99365963, + 7841246 + ], + [ + 14555036, + 92995639 + ], + [ + 6703099, + 65578158 + ], + [ + 95728642, + 68628954 + ], + [ + 74700095, + 2924316 + ], + [ + 64169592, + 85888288 + ], + [ + 25168320, + 50961123 + ], + [ + 44387454, + 3300359 + ], + [ + 86408398, + 45259879 + ], + [ + 81021570, + 48349711 + ], + [ + 3909670, + 28483399 + ], + [ + 72519675, + 8485481 + ], + [ + 11437575, + 81504728 + ], + [ + 30388331, + 35492502 + ], + [ + 52462819, + 71911418 + ], + [ + 77863982, + 51761988 + ], + [ + 43025506, + 70833025 + ], + [ + 14471190, + 93757459 + ], + [ + 43396873, + 3775337 + ], + [ + 79986640, + 65616452 + ], + [ + 56837396, + 5917748 + ], + [ + 36906298, + 15158214 + ], + [ + 89273708, + 24678573 + ], + [ + 43365395, + 55953650 + ], + [ + 76254770, + 97167897 + ], + [ + 65637746, + 14993871 + ], + [ + 84545490, + 11400687 + ], + [ + 96033555, + 23360595 + ], + [ + 84822971, + 44735542 + ], + [ + 96012368, + 28854824 + ], + [ + 78673665, + 22865632 + ], + [ + 15595475, + 95411770 + ], + [ + 3798326, + 31369289 + ], + [ + 11775668, + 18410395 + ], + [ + 21733586, + 11298544 + ], + [ + 81450013, + 98016551 + ], + [ + 85163392, + 72011514 + ], + [ + 19470022, + 11897333 + ], + [ + 69162432, + 14718714 + ], + [ + 25435209, + 14604600 + ], + [ + 69262524, + 56521094 + ], + [ + 89026946, + 77545309 + ], + [ + 22333897, + 47320996 + ], + [ + 11749235, + 43720404 + ], + [ + 42358548, + 71164442 + ], + [ + 6111827, + 11884381 + ], + [ + 4089134, + 47891179 + ], + [ + 9789761, + 19040956 + ], + [ + 6514430, + 40010787 + ], + [ + 61919169, + 23787888 + ], + [ + 79615949, + 52118206 + ], + [ + 77250337, + 33591289 + ], + [ + 23493374, + 16667525 + ], + [ + 60005408, + 3584902 + ], + [ + 50640621, + 9003166 + ], + [ + 26382004, + 84949357 + ], + [ + 19980839, + 58224110 + ], + [ + 43670344, + 662308 + ], + [ + 43298179, + 84162657 + ], + [ + 33873582, + 67519363 + ], + [ + 36817385, + 99985951 + ], + [ + 52464219, + 62975977 + ], + [ + 51475168, + 22138582 + ], + [ + 56278457, + 87289536 + ], + [ + 11815977, + 94719489 + ], + [ + 78310836, + 79064219 + ], + [ + 36784371, + 22048164 + ], + [ + 71424483, + 39081120 + ], + [ + 14151329, + 6072377 + ], + [ + 38445532, + 94572450 + ], + [ + 46588911, + 64902755 + ], + [ + 19369269, + 51090467 + ], + [ + 62157392, + 34085030 + ], + [ + 86515843, + 50567852 + ], + [ + 69185638, + 28825020 + ], + [ + 2554227, + 13945886 + ], + [ + 77424192, + 18909414 + ], + [ + 20001112, + 3157008 + ], + [ + 27035430, + 69327437 + ], + [ + 52468264, + 88518109 + ], + [ + 77382941, + 82494689 + ], + [ + 55443808, + 3892620 + ], + [ + 67681304, + 24745032 + ], + [ + 36572081, + 83896745 + ], + [ + 59167687, + 76005998 + ], + [ + 5076030, + 57396197 + ], + [ + 69581091, + 47116002 + ], + [ + 2134570, + 90671964 + ], + [ + 85679860, + 57079336 + ], + [ + 71114189, + 34832245 + ], + [ + 50687294, + 45688648 + ], + [ + 99818368, + 59037391 + ], + [ + 22205303, + 73648037 + ], + [ + 51033961, + 85406412 + ], + [ + 41911384, + 79026382 + ], + [ + 34684215, + 63479721 + ], + [ + 5573862, + 59341779 + ], + [ + 53194110, + 27836066 + ], + [ + 76306133, + 11935073 + ], + [ + 7564368, + 39335076 + ], + [ + 6000356, + 39073948 + ], + [ + 5920497, + 79097695 + ], + [ + 9272797, + 61027135 + ], + [ + 89654236, + 61962876 + ], + [ + 7094546, + 20186753 + ], + [ + 831725, + 71074049 + ], + [ + 2226158, + 41360752 + ], + [ + 8330836, + 3274366 + ], + [ + 55459547, + 29214023 + ], + [ + 10513881, + 24571668 + ], + [ + 67090141, + 24474596 + ], + [ + 84525702, + 84592724 + ], + [ + 40110600, + 38434039 + ], + [ + 76105608, + 66937849 + ], + [ + 64337912, + 64325037 + ], + [ + 82320900, + 89689427 + ], + [ + 54511883, + 16282489 + ], + [ + 96658262, + 95219033 + ], + [ + 37095631, + 24329753 + ], + [ + 23974358, + 43721611 + ], + [ + 85002544, + 63915539 + ], + [ + 67871193, + 68819091 + ], + [ + 83469484, + 39828281 + ], + [ + 79013493, + 19447069 + ], + [ + 86955213, + 66489997 + ], + [ + 75450641, + 10612750 + ], + [ + 7591187, + 84738966 + ], + [ + 49101761, + 26162325 + ], + [ + 40500115, + 47121664 + ], + [ + 53766321, + 81995008 + ], + [ + 66690851, + 98398705 + ], + [ + 63047264, + 11745778 + ], + [ + 96274086, + 10942410 + ], + [ + 91259977, + 20271338 + ], + [ + 85935491, + 41428892 + ], + [ + 36265035, + 12112564 + ], + [ + 24237177, + 29061797 + ], + [ + 61278574, + 29722691 + ], + [ + 98322573, + 18025384 + ], + [ + 44500957, + 76042440 + ], + [ + 10965060, + 48642582 + ], + [ + 53487147, + 99767650 + ], + [ + 56800019, + 47454099 + ], + [ + 7324205, + 30090550 + ], + [ + 745710, + 959286 + ], + [ + 40853561, + 61239844 + ], + [ + 80968726, + 85988366 + ], + [ + 42891973, + 62471417 + ], + [ + 98868686, + 24238975 + ], + [ + 8661122, + 17285408 + ], + [ + 74367942, + 84738766 + ], + [ + 30575073, + 17991967 + ], + [ + 93412421, + 80703950 + ], + [ + 10308053, + 57158631 + ], + [ + 42881419, + 63733416 + ], + [ + 10481367, + 61291774 + ], + [ + 483124, + 49649517 + ], + [ + 61836563, + 52106387 + ], + [ + 44216783, + 98889060 + ], + [ + 86706704, + 27723940 + ], + [ + 58657216, + 68961432 + ], + [ + 79087821, + 19657751 + ], + [ + 78732958, + 17053666 + ], + [ + 7547910, + 40345278 + ], + [ + 47007723, + 30198058 + ], + [ + 87055097, + 36801913 + ], + [ + 78551310, + 49743932 + ], + [ + 139259, + 3437557 + ], + [ + 46948169, + 25415206 + ], + [ + 7843133, + 4760792 + ], + [ + 38996186, + 93991240 + ], + [ + 25367881, + 6056248 + ], + [ + 49539045, + 9596325 + ], + [ + 83461890, + 68320793 + ], + [ + 20530101, + 39253913 + ], + [ + 70541166, + 91273787 + ], + [ + 38150038, + 94444605 + ], + [ + 2470926, + 64900607 + ], + [ + 31422110, + 19078291 + ], + [ + 93574541, + 22867377 + ], + [ + 98788383, + 50478837 + ], + [ + 30582923, + 57711193 + ], + [ + 67570779, + 84473991 + ], + [ + 81735759, + 49624278 + ], + [ + 90444899, + 79186061 + ], + [ + 14181808, + 21283323 + ], + [ + 71079399, + 79383777 + ], + [ + 40783520, + 85788347 + ], + [ + 4328431, + 27868010 + ], + [ + 56876818, + 57456734 + ], + [ + 14036743, + 39884347 + ], + [ + 27995211, + 25012526 + ], + [ + 63151655, + 49246685 + ], + [ + 62604954, + 75396726 + ], + [ + 42108030, + 3766579 + ], + [ + 93529535, + 95864174 + ], + [ + 9885617, + 83589163 + ], + [ + 36222732, + 77153193 + ], + [ + 79982917, + 96831519 + ], + [ + 15697714, + 98598157 + ], + [ + 8827892, + 45932508 + ], + [ + 40048538, + 71458398 + ], + [ + 82308599, + 54388697 + ], + [ + 15209598, + 28986487 + ], + [ + 85209516, + 36500112 + ], + [ + 65012097, + 62761626 + ], + [ + 35014112, + 9432272 + ], + [ + 8116367, + 91889055 + ], + [ + 78053798, + 47506229 + ], + [ + 99219893, + 54499983 + ], + [ + 52816795, + 43758447 + ], + [ + 60314712, + 31526383 + ], + [ + 53135649, + 53705881 + ], + [ + 37788100, + 81481635 + ], + [ + 27313678, + 61268886 + ], + [ + 89535264, + 1931787 + ], + [ + 86940829, + 83641388 + ], + [ + 50258105, + 84797492 + ], + [ + 35474337, + 63919745 + ], + [ + 6085855, + 96000434 + ], + [ + 11914139, + 17408498 + ], + [ + 43768328, + 18105832 + ], + [ + 41022044, + 12216531 + ], + [ + 17659928, + 26616595 + ], + [ + 94460730, + 901492 + ], + [ + 94157832, + 20516792 + ], + [ + 93117136, + 64863770 + ], + [ + 58830770, + 98024789 + ], + [ + 70036826, + 21464231 + ], + [ + 46223096, + 4343929 + ], + [ + 70755832, + 25837028 + ], + [ + 39673562, + 35938948 + ], + [ + 19240451, + 23888403 + ], + [ + 81648066, + 2260464 + ], + [ + 22815820, + 96973464 + ], + [ + 47659276, + 26295257 + ], + [ + 50354529, + 18429797 + ], + [ + 29800727, + 98378480 + ], + [ + 47778846, + 43920618 + ], + [ + 12492394, + 95664091 + ], + [ + 8775413, + 29094963 + ], + [ + 56298930, + 95735033 + ], + [ + 78185166, + 73032810 + ], + [ + 8799308, + 86927284 + ], + [ + 8116585, + 40438334 + ], + [ + 96714256, + 42543314 + ], + [ + 8879461, + 78229665 + ], + [ + 54819135, + 85297406 + ], + [ + 74023200, + 87961326 + ], + [ + 15028941, + 73982091 + ], + [ + 37756796, + 13942635 + ], + [ + 32838436, + 96742799 + ], + [ + 36976356, + 34562757 + ], + [ + 55735927, + 38843196 + ], + [ + 66958574, + 59192611 + ], + [ + 50897141, + 4380548 + ], + [ + 63050969, + 67147746 + ], + [ + 14850983, + 28237221 + ], + [ + 29125498, + 73791322 + ], + [ + 5082502, + 51497305 + ], + [ + 45625244, + 11389680 + ], + [ + 55151826, + 90648103 + ], + [ + 37437158, + 72197377 + ], + [ + 26374880, + 1855018 + ], + [ + 26381355, + 14401843 + ], + [ + 70481350, + 36067086 + ], + [ + 60217736, + 42442389 + ], + [ + 14909590, + 39542242 + ], + [ + 2298403, + 30703032 + ], + [ + 49366446, + 34270103 + ], + [ + 67484963, + 37313930 + ], + [ + 43058342, + 69993484 + ], + [ + 94618416, + 11997797 + ], + [ + 85406447, + 21967885 + ], + [ + 91932225, + 78243765 + ], + [ + 17347765, + 70398524 + ], + [ + 78730636, + 88480964 + ], + [ + 86279959, + 44047302 + ], + [ + 3428547, + 54925300 + ], + [ + 53891212, + 8805374 + ], + [ + 53909088, + 38722417 + ], + [ + 82289844, + 79337097 + ], + [ + 36131545, + 11029857 + ], + [ + 9795799, + 62704672 + ], + [ + 77650599, + 80525653 + ], + [ + 89780736, + 61996338 + ], + [ + 27153194, + 75771846 + ], + [ + 58703467, + 59675844 + ], + [ + 12529664, + 37703380 + ], + [ + 8955919, + 493251 + ], + [ + 67217810, + 25450401 + ], + [ + 49638078, + 85209044 + ], + [ + 47980808, + 56699384 + ], + [ + 16541667, + 58406854 + ], + [ + 76686190, + 42891930 + ], + [ + 53343580, + 7092043 + ], + [ + 58332237, + 12279703 + ], + [ + 21452372, + 80569059 + ], + [ + 69641050, + 35329310 + ], + [ + 74751740, + 20688175 + ], + [ + 65516018, + 35706332 + ], + [ + 31848616, + 29568590 + ], + [ + 63178586, + 84382150 + ], + [ + 47539114, + 75203530 + ], + [ + 6116170, + 91124346 + ], + [ + 69766303, + 26213931 + ], + [ + 61953301, + 91109490 + ], + [ + 96398204, + 10713077 + ], + [ + 36426261, + 65829018 + ], + [ + 98262215, + 67959578 + ], + [ + 18759187, + 40206320 + ], + [ + 58097327, + 28359377 + ], + [ + 21813408, + 73190234 + ], + [ + 64927630, + 68505124 + ], + [ + 12862395, + 60375279 + ], + [ + 50469410, + 60385623 + ], + [ + 27067817, + 90587460 + ], + [ + 25846430, + 20081613 + ], + [ + 51676041, + 37443813 + ], + [ + 10088265, + 16441500 + ], + [ + 59833561, + 96357164 + ], + [ + 35904395, + 64798119 + ], + [ + 27745630, + 2760398 + ], + [ + 84684013, + 47986404 + ], + [ + 25890213, + 70085780 + ], + [ + 52090128, + 18032170 + ], + [ + 23756179, + 90663119 + ], + [ + 71171020, + 63937294 + ], + [ + 49518807, + 95098525 + ], + [ + 67087102, + 8982389 + ], + [ + 23819452, + 7765885 + ], + [ + 69764561, + 9518546 + ], + [ + 95432293, + 42823963 + ], + [ + 47399885, + 67842270 + ], + [ + 56384538, + 52164887 + ], + [ + 62721878, + 93745461 + ], + [ + 91759938, + 36788036 + ], + [ + 71745058, + 4408505 + ], + [ + 7513934, + 54240427 + ], + [ + 52853576, + 27619658 + ], + [ + 59230393, + 64983153 + ], + [ + 23144431, + 581939 + ], + [ + 27723533, + 45717506 + ], + [ + 91403407, + 82673268 + ], + [ + 67165372, + 65914649 + ], + [ + 36292048, + 57198709 + ], + [ + 86921171, + 51352775 + ], + [ + 41605604, + 78736736 + ], + [ + 80119450, + 31921190 + ], + [ + 74201181, + 33095447 + ], + [ + 43845594, + 85112843 + ], + [ + 15796091, + 95612030 + ], + [ + 68049968, + 98528121 + ], + [ + 40058467, + 10963351 + ], + [ + 32529307, + 47944178 + ], + [ + 99852845, + 90649481 + ], + [ + 35202048, + 99333881 + ], + [ + 50689603, + 42676740 + ], + [ + 98180951, + 36914552 + ], + [ + 37222388, + 51537851 + ], + [ + 12953260, + 50078304 + ], + [ + 67257075, + 7635785 + ], + [ + 69951480, + 61821682 + ], + [ + 7994248, + 20105037 + ], + [ + 46027875, + 28290072 + ], + [ + 98245690, + 80328152 + ], + [ + 11243580, + 80390107 + ], + [ + 86676980, + 38545588 + ], + [ + 39716688, + 47806423 + ], + [ + 10301376, + 93070876 + ], + [ + 96396237, + 37698670 + ], + [ + 84580449, + 3779299 + ], + [ + 35752041, + 94135888 + ], + [ + 91322822, + 48042465 + ], + [ + 15501409, + 60899525 + ], + [ + 13910171, + 39939764 + ], + [ + 40801342, + 203109 + ], + [ + 60834717, + 65353671 + ], + [ + 42632433, + 6762195 + ], + [ + 19203899, + 27272258 + ], + [ + 20570811, + 82648040 + ], + [ + 83465574, + 31400098 + ], + [ + 11206832, + 90109642 + ], + [ + 9455450, + 33401233 + ], + [ + 29144486, + 88989902 + ], + [ + 35936756, + 17379135 + ], + [ + 3606087, + 98088583 + ], + [ + 23722896, + 67636232 + ], + [ + 38432930, + 62975316 + ], + [ + 80945029, + 23397428 + ], + [ + 81949744, + 43725831 + ], + [ + 58421554, + 24153826 + ], + [ + 7549971, + 38298808 + ], + [ + 67726949, + 66900743 + ], + [ + 16807734, + 98802525 + ], + [ + 3201989, + 32738979 + ], + [ + 71857724, + 30820240 + ], + [ + 52095372, + 28125542 + ], + [ + 78020015, + 97429324 + ], + [ + 89373723, + 49048062 + ], + [ + 71373332, + 69694666 + ], + [ + 26516468, + 80599478 + ], + [ + 37043270, + 26457435 + ], + [ + 84962004, + 26057085 + ], + [ + 3727072, + 38595766 + ], + [ + 36055726, + 65527489 + ], + [ + 43310518, + 90701701 + ], + [ + 9872303, + 20531733 + ], + [ + 81735460, + 20079038 + ], + [ + 96140073, + 44775061 + ], + [ + 54849305, + 57797115 + ], + [ + 31136723, + 7878765 + ], + [ + 9574283, + 35348494 + ], + [ + 55416626, + 36706167 + ], + [ + 15746953, + 67129203 + ], + [ + 63163791, + 89910987 + ], + [ + 16335656, + 67649685 + ], + [ + 70058979, + 14202837 + ], + [ + 3680458, + 50226245 + ], + [ + 77560646, + 37777504 + ], + [ + 18259561, + 3220805 + ], + [ + 74218605, + 32943467 + ], + [ + 9213607, + 28591596 + ], + [ + 37494161, + 85590130 + ], + [ + 89023892, + 11180177 + ], + [ + 97443616, + 61593072 + ], + [ + 9377702, + 9788576 + ], + [ + 60444329, + 52019608 + ], + [ + 419137, + 14243801 + ], + [ + 94876975, + 45659476 + ], + [ + 66750272, + 12898846 + ], + [ + 37078125, + 88222454 + ], + [ + 15665645, + 77455094 + ], + [ + 28274833, + 4989745 + ], + [ + 59343170, + 82816970 + ], + [ + 76451102, + 50216178 + ], + [ + 97131942, + 53371262 + ], + [ + 32501421, + 72454091 + ], + [ + 4944984, + 45318950 + ], + [ + 26440954, + 14742705 + ], + [ + 44088554, + 19287587 + ], + [ + 16700767, + 20039957 + ], + [ + 37215429, + 18035007 + ], + [ + 5848751, + 88104864 + ], + [ + 12417467, + 45803466 + ], + [ + 96075668, + 41509428 + ], + [ + 53493910, + 35280709 + ], + [ + 52158663, + 23473058 + ], + [ + 92066331, + 60637091 + ], + [ + 42820118, + 6877699 + ], + [ + 31241872, + 36768164 + ], + [ + 20513176, + 35065574 + ], + [ + 92003489, + 36261685 + ], + [ + 34571450, + 65156441 + ], + [ + 44210533, + 12469671 + ], + [ + 53436994, + 48552281 + ], + [ + 34454218, + 40389714 + ], + [ + 76567608, + 14976684 + ], + [ + 92364081, + 43506251 + ], + [ + 759645, + 23256729 + ], + [ + 28791534, + 28267158 + ], + [ + 8172857, + 18714095 + ], + [ + 75393337, + 78161933 + ], + [ + 66225455, + 3767698 + ], + [ + 52277723, + 54804238 + ], + [ + 26257917, + 63480102 + ], + [ + 28665988, + 52851589 + ], + [ + 67986669, + 13463088 + ], + [ + 82684831, + 77603260 + ], + [ + 79985681, + 84043634 + ], + [ + 83195957, + 31964984 + ], + [ + 68367372, + 82701245 + ], + [ + 82833469, + 42410422 + ], + [ + 7468996, + 25573828 + ], + [ + 97633891, + 26723536 + ], + [ + 23421515, + 95742126 + ], + [ + 1525366, + 41033223 + ], + [ + 53116853, + 64694403 + ], + [ + 77222902, + 89659035 + ], + [ + 17891922, + 56617778 + ], + [ + 86275839, + 11315717 + ], + [ + 5439429, + 51815902 + ], + [ + 18111566, + 82418251 + ], + [ + 20637718, + 63660425 + ], + [ + 70283684, + 62161182 + ], + [ + 9098208, + 23464999 + ], + [ + 84691698, + 18416970 + ], + [ + 39265097, + 72449363 + ], + [ + 35747562, + 85634978 + ], + [ + 7277341, + 87217109 + ], + [ + 68059298, + 23854916 + ], + [ + 96533249, + 26124239 + ], + [ + 56917438, + 5030611 + ], + [ + 20508774, + 62189453 + ], + [ + 18905470, + 55317563 + ], + [ + 20084973, + 53827692 + ], + [ + 4672007, + 61768459 + ], + [ + 40046891, + 93017473 + ], + [ + 8230380, + 85968922 + ], + [ + 91663815, + 54348577 + ], + [ + 97588939, + 91437988 + ], + [ + 7268894, + 29333203 + ], + [ + 37822130, + 72165607 + ], + [ + 86500648, + 85273415 + ], + [ + 97201376, + 53698351 + ], + [ + 11448461, + 68853885 + ], + [ + 59330830, + 35568586 + ], + [ + 460622, + 24989828 + ], + [ + 51308608, + 16350687 + ], + [ + 14446356, + 45528794 + ], + [ + 81979116, + 62346060 + ], + [ + 55208706, + 39918952 + ], + [ + 82846107, + 4244365 + ], + [ + 23296959, + 86829572 + ], + [ + 48261246, + 44813996 + ], + [ + 9382267, + 63353481 + ], + [ + 62627520, + 98243621 + ], + [ + 1369046, + 87201616 + ], + [ + 95188555, + 39934739 + ], + [ + 98913314, + 3521162 + ], + [ + 55641080, + 9399466 + ], + [ + 36517105, + 82172270 + ], + [ + 8360330, + 80227457 + ], + [ + 11044325, + 42211024 + ], + [ + 24557184, + 73549590 + ], + [ + 63964741, + 18903146 + ], + [ + 75399028, + 26405502 + ], + [ + 39287190, + 75955677 + ], + [ + 50881053, + 88122520 + ], + [ + 55349864, + 90846940 + ], + [ + 55031899, + 86931876 + ], + [ + 31669376, + 86129381 + ], + [ + 42523108, + 91259933 + ], + [ + 85316924, + 7678551 + ], + [ + 48192015, + 16794169 + ], + [ + 5057788, + 36650595 + ], + [ + 53118935, + 16702547 + ], + [ + 15002553, + 31332326 + ], + [ + 4427253, + 80704895 + ], + [ + 34089351, + 67168136 + ], + [ + 6873410, + 11614119 + ], + [ + 51033012, + 32882187 + ], + [ + 76526085, + 49554681 + ], + [ + 93591884, + 55806840 + ], + [ + 60981087, + 55512882 + ], + [ + 41899887, + 80309728 + ], + [ + 49760273, + 25905633 + ], + [ + 55896351, + 61808960 + ], + [ + 97608976, + 95703743 + ], + [ + 19154071, + 68122751 + ], + [ + 26359706, + 74029262 + ], + [ + 61653076, + 72118781 + ], + [ + 19017140, + 98381868 + ], + [ + 15815016, + 43404922 + ], + [ + 59202738, + 29430343 + ], + [ + 93349307, + 49681918 + ], + [ + 28473218, + 42771974 + ], + [ + 55052658, + 78923384 + ], + [ + 21160967, + 81248004 + ], + [ + 27646286, + 55276612 + ], + [ + 2853729, + 53314454 + ], + [ + 77027812, + 40836575 + ], + [ + 65467700, + 222618 + ], + [ + 91501859, + 91593296 + ], + [ + 61383881, + 32368057 + ], + [ + 67187527, + 15079615 + ], + [ + 17042764, + 7967413 + ], + [ + 47464808, + 11673419 + ], + [ + 58537887, + 13983114 + ], + [ + 44635443, + 7014097 + ], + [ + 85104548, + 6756916 + ], + [ + 64783094, + 92908806 + ], + [ + 97023453, + 82216369 + ], + [ + 27300816, + 23389839 + ], + [ + 7540645, + 72529474 + ], + [ + 36525129, + 87771380 + ], + [ + 49844168, + 82628681 + ], + [ + 53451773, + 22052252 + ], + [ + 79591382, + 49453633 + ], + [ + 52219485, + 2613467 + ], + [ + 48329203, + 8965634 + ], + [ + 78185010, + 39722983 + ], + [ + 32420895, + 69453343 + ], + [ + 53507606, + 20344951 + ], + [ + 21126020, + 91935069 + ], + [ + 87692404, + 55316340 + ], + [ + 14133328, + 35239449 + ], + [ + 36765618, + 52296943 + ], + [ + 14614705, + 45242646 + ], + [ + 96832784, + 69401469 + ], + [ + 18393136, + 43725972 + ], + [ + 1068631, + 72541347 + ], + [ + 70081481, + 85533134 + ], + [ + 8601841, + 79721811 + ], + [ + 12578188, + 55985326 + ], + [ + 66024149, + 50552320 + ], + [ + 67379570, + 12654035 + ], + [ + 46804446, + 94951000 + ], + [ + 31554340, + 33974246 + ], + [ + 85418898, + 27972004 + ], + [ + 68163369, + 19188434 + ], + [ + 3508275, + 61556337 + ], + [ + 36417877, + 84863215 + ], + [ + 96501532, + 12058926 + ], + [ + 62526245, + 8294356 + ], + [ + 56115521, + 8638265 + ], + [ + 96446156, + 48858786 + ], + [ + 78913717, + 2838276 + ], + [ + 23372190, + 43765819 + ], + [ + 12358018, + 78407388 + ], + [ + 82407610, + 8651201 + ], + [ + 24810640, + 57675401 + ], + [ + 37789840, + 94384062 + ], + [ + 13924037, + 83376882 + ], + [ + 14935763, + 81716863 + ], + [ + 13878369, + 81130400 + ], + [ + 89289379, + 56162537 + ], + [ + 35116402, + 40084961 + ], + [ + 54216633, + 90089553 + ], + [ + 22809220, + 92576035 + ], + [ + 87589240, + 13349624 + ], + [ + 31004228, + 19047862 + ], + [ + 37523064, + 39923565 + ], + [ + 54287465, + 31625258 + ], + [ + 23508208, + 90612201 + ], + [ + 62043733, + 68319025 + ], + [ + 44983757, + 32228579 + ], + [ + 17872082, + 94628252 + ], + [ + 24022315, + 6546435 + ], + [ + 4068515, + 1765562 + ], + [ + 15329116, + 24623791 + ], + [ + 22676735, + 96598594 + ], + [ + 10646925, + 23073654 + ], + [ + 54602505, + 13035795 + ], + [ + 32301695, + 86653386 + ], + [ + 56142328, + 41019809 + ], + [ + 97045786, + 73943549 + ], + [ + 82487661, + 54364058 + ], + [ + 87018878, + 42610725 + ], + [ + 91294671, + 89375642 + ], + [ + 16830681, + 35248951 + ], + [ + 10347221, + 9350249 + ], + [ + 96920816, + 37877584 + ], + [ + 29126217, + 70008074 + ], + [ + 99743458, + 71182536 + ], + [ + 33436266, + 61402306 + ], + [ + 83359204, + 40488799 + ], + [ + 72987496, + 71453969 + ], + [ + 32222986, + 91746488 + ], + [ + 79276722, + 33477469 + ], + [ + 99265859, + 18838205 + ], + [ + 30559470, + 87362333 + ], + [ + 70404176, + 44866164 + ], + [ + 92817581, + 8068562 + ], + [ + 50518651, + 10223808 + ], + [ + 53697395, + 22252887 + ], + [ + 89809479, + 52034038 + ], + [ + 14263655, + 60322960 + ], + [ + 80899532, + 296647 + ], + [ + 76805703, + 95949955 + ], + [ + 96515733, + 93979529 + ], + [ + 82979498, + 54491882 + ], + [ + 49295023, + 79617981 + ], + [ + 67328389, + 25161153 + ], + [ + 49061238, + 47077816 + ], + [ + 30156981, + 14359547 + ], + [ + 16602657, + 94337985 + ], + [ + 53254253, + 65215332 + ], + [ + 18888700, + 95818452 + ], + [ + 29019452, + 84452041 + ], + [ + 62724830, + 10771251 + ], + [ + 27538469, + 68106225 + ], + [ + 70713506, + 41529096 + ], + [ + 74900693, + 44457566 + ], + [ + 41349791, + 2033529 + ], + [ + 96813197, + 51350812 + ], + [ + 5096820, + 86527957 + ], + [ + 17866632, + 18772017 + ], + [ + 16640285, + 23739165 + ], + [ + 7858879, + 65754361 + ], + [ + 83785268, + 17815991 + ], + [ + 16837937, + 37311350 + ], + [ + 63770258, + 38194688 + ], + [ + 23262772, + 67775370 + ], + [ + 71372613, + 32536702 + ], + [ + 40001801, + 39567765 + ], + [ + 46975466, + 24860983 + ], + [ + 41655980, + 89263320 + ], + [ + 64945490, + 83628113 + ], + [ + 49100408, + 98819695 + ], + [ + 30063372, + 95464247 + ], + [ + 43842523, + 29255090 + ], + [ + 25724964, + 91389537 + ], + [ + 9020832, + 25783292 + ], + [ + 57610350, + 42380264 + ], + [ + 9455770, + 94677877 + ], + [ + 30613772, + 46534664 + ], + [ + 28342624, + 15122284 + ], + [ + 18493688, + 24776651 + ], + [ + 22949685, + 40182698 + ], + [ + 57878148, + 54921856 + ], + [ + 52666780, + 46439615 + ], + [ + 77345287, + 21612592 + ], + [ + 14839542, + 18216684 + ], + [ + 40676537, + 20574856 + ], + [ + 71238953, + 59762774 + ], + [ + 4871236, + 95567484 + ], + [ + 25732339, + 41744345 + ], + [ + 52641660, + 34454870 + ], + [ + 23737246, + 74041885 + ], + [ + 84332123, + 37851246 + ], + [ + 91199840, + 30976384 + ], + [ + 12386021, + 45064727 + ], + [ + 67473988, + 49485054 + ], + [ + 43502641, + 11774760 + ], + [ + 51888283, + 84571814 + ], + [ + 45376397, + 75369668 + ], + [ + 65851001, + 94862684 + ], + [ + 68289455, + 7339322 + ], + [ + 60802025, + 87901569 + ], + [ + 92642834, + 49647621 + ], + [ + 35556565, + 28547414 + ], + [ + 96588798, + 16513840 + ], + [ + 31329607, + 69353535 + ], + [ + 81788146, + 73459590 + ], + [ + 57450202, + 49991929 + ], + [ + 89145087, + 27340755 + ], + [ + 38860532, + 16233298 + ], + [ + 5970520, + 84691382 + ], + [ + 34661596, + 35008560 + ], + [ + 54484931, + 23977438 + ], + [ + 35724080, + 50888124 + ], + [ + 18596237, + 65584066 + ], + [ + 43490602, + 75465888 + ], + [ + 94848835, + 45436095 + ], + [ + 13264861, + 53659655 + ], + [ + 89605723, + 2091701 + ], + [ + 44103976, + 86342374 + ], + [ + 58578752, + 23443769 + ], + [ + 73463310, + 42826071 + ], + [ + 16754796, + 61864268 + ], + [ + 89831087, + 66156853 + ], + [ + 22713992, + 54599825 + ], + [ + 26787766, + 74947818 + ], + [ + 55081339, + 71416982 + ], + [ + 46023161, + 12162234 + ], + [ + 26349717, + 31169240 + ], + [ + 95955605, + 3654341 + ], + [ + 16908932, + 14384412 + ], + [ + 85252978, + 20918487 + ], + [ + 55461905, + 46511929 + ], + [ + 76878384, + 64890056 + ], + [ + 44555862, + 74213776 + ], + [ + 19717637, + 57004981 + ], + [ + 64252268, + 56516032 + ], + [ + 52492332, + 82995781 + ], + [ + 22183386, + 36672713 + ], + [ + 84266238, + 86968020 + ], + [ + 61630988, + 21560476 + ], + [ + 84880413, + 66912221 + ], + [ + 44283819, + 64308784 + ], + [ + 70699906, + 11044574 + ], + [ + 21842249, + 56126663 + ], + [ + 42564074, + 75062144 + ], + [ + 81396044, + 57037701 + ], + [ + 91284297, + 83944990 + ], + [ + 8016233, + 95017628 + ], + [ + 41945277, + 64005852 + ], + [ + 94388287, + 59687725 + ], + [ + 93539955, + 32192724 + ], + [ + 2189661, + 73044880 + ], + [ + 67802175, + 38201909 + ], + [ + 95143523, + 75477105 + ], + [ + 12988741, + 70513771 + ], + [ + 94233450, + 91677419 + ], + [ + 21496360, + 55768331 + ], + [ + 83310916, + 56063121 + ], + [ + 60919284, + 26595078 + ], + [ + 27560313, + 598633 + ], + [ + 88348215, + 67153954 + ], + [ + 78475747, + 9989502 + ], + [ + 27354224, + 73941635 + ], + [ + 59340125, + 32134834 + ], + [ + 93383804, + 62299572 + ], + [ + 24494283, + 6356560 + ], + [ + 19121390, + 92511236 + ], + [ + 53553870, + 9408282 + ], + [ + 11394790, + 68043362 + ], + [ + 45074860, + 11583234 + ], + [ + 533107, + 81917707 + ], + [ + 57359439, + 88882897 + ], + [ + 41691420, + 27561698 + ], + [ + 45372069, + 62147440 + ], + [ + 18071240, + 20642247 + ], + [ + 62203328, + 15344565 + ], + [ + 87578555, + 2858027 + ], + [ + 38923470, + 39167190 + ], + [ + 1221158, + 92516657 + ], + [ + 5159315, + 84464470 + ], + [ + 69030582, + 74462463 + ], + [ + 66661168, + 9540825 + ], + [ + 35902641, + 70053118 + ], + [ + 54896873, + 24768667 + ], + [ + 94606159, + 31274942 + ], + [ + 32854583, + 68190662 + ], + [ + 716087, + 70231342 + ], + [ + 74976029, + 83703214 + ], + [ + 15579928, + 75631968 + ], + [ + 70955116, + 64690810 + ], + [ + 67367813, + 36763577 + ], + [ + 93307593, + 49656243 + ], + [ + 50359815, + 54773612 + ], + [ + 10665303, + 76176646 + ], + [ + 15716145, + 38019174 + ], + [ + 38921625, + 95880548 + ], + [ + 80431959, + 91177396 + ], + [ + 9174062, + 36756696 + ], + [ + 511114, + 36597213 + ], + [ + 67447269, + 46407051 + ], + [ + 19015444, + 71646550 + ], + [ + 65020912, + 84510184 + ], + [ + 62874161, + 8089484 + ], + [ + 93727228, + 10180284 + ], + [ + 28450304, + 88420473 + ], + [ + 79224152, + 39053632 + ], + [ + 79156036, + 5115728 + ], + [ + 42624915, + 29492887 + ], + [ + 87450874, + 61468923 + ], + [ + 92812391, + 52489017 + ], + [ + 70583619, + 21248337 + ], + [ + 98519287, + 27675434 + ], + [ + 89096687, + 9508368 + ], + [ + 37358996, + 92457698 + ], + [ + 57657614, + 88801655 + ], + [ + 35576171, + 26109402 + ], + [ + 8463326, + 4675781 + ], + [ + 22672532, + 74261384 + ], + [ + 69259156, + 34899675 + ], + [ + 45206215, + 63204497 + ], + [ + 99086832, + 32916249 + ], + [ + 58212191, + 65847744 + ], + [ + 68894283, + 78051412 + ], + [ + 90822343, + 42664885 + ], + [ + 36136456, + 49184451 + ], + [ + 2950943, + 61402733 + ], + [ + 89668111, + 47154856 + ], + [ + 3891731, + 3684184 + ], + [ + 56525367, + 20961200 + ], + [ + 28380685, + 8041326 + ], + [ + 8571276, + 70007206 + ], + [ + 28499571, + 44534662 + ], + [ + 23574379, + 19714475 + ], + [ + 23105074, + 60946483 + ], + [ + 1390639, + 29313244 + ], + [ + 51874406, + 80287215 + ], + [ + 75939150, + 90474315 + ], + [ + 25272702, + 54439650 + ], + [ + 93325735, + 13690939 + ], + [ + 80963675, + 710979 + ], + [ + 81720098, + 9706928 + ], + [ + 77104347, + 7781652 + ], + [ + 20770105, + 68221031 + ], + [ + 21977673, + 68594199 + ], + [ + 60784126, + 85104125 + ], + [ + 3793720, + 12778672 + ], + [ + 47142663, + 54480998 + ], + [ + 10595168, + 98633152 + ], + [ + 96496292, + 85673400 + ], + [ + 71032104, + 98601386 + ], + [ + 69578974, + 8837509 + ], + [ + 11327852, + 68432640 + ], + [ + 98488612, + 22486127 + ], + [ + 23801558, + 69891671 + ], + [ + 58916421, + 45610969 + ], + [ + 85579251, + 52997240 + ], + [ + 45333983, + 23260596 + ], + [ + 96612553, + 48439637 + ], + [ + 49960311, + 79612671 + ], + [ + 78026515, + 4880362 + ], + [ + 96769139, + 33146524 + ], + [ + 91673288, + 34119270 + ], + [ + 31718638, + 52618472 + ], + [ + 20550090, + 79571102 + ], + [ + 86926671, + 65675609 + ], + [ + 26042874, + 51448849 + ], + [ + 26633148, + 76821642 + ], + [ + 15932388, + 35609951 + ], + [ + 87731544, + 33002987 + ], + [ + 84999235, + 88381388 + ], + [ + 20561895, + 76625453 + ], + [ + 84144558, + 23095790 + ], + [ + 46795240, + 54820415 + ], + [ + 57425661, + 21415381 + ], + [ + 65966361, + 41683389 + ], + [ + 57904775, + 10346269 + ], + [ + 43459113, + 82768109 + ], + [ + 71581488, + 74639718 + ], + [ + 47918377, + 58574996 + ], + [ + 80535176, + 60172344 + ], + [ + 54792731, + 77276237 + ], + [ + 87927792, + 47198788 + ], + [ + 90170337, + 36978891 + ], + [ + 9245615, + 31190337 + ], + [ + 31354678, + 57243586 + ], + [ + 41663186, + 56720963 + ], + [ + 92025883, + 92067180 + ], + [ + 63629380, + 24700283 + ], + [ + 26153840, + 38476777 + ], + [ + 48504117, + 88403283 + ], + [ + 95162303, + 85284967 + ], + [ + 93668233, + 38691281 + ], + [ + 69534581, + 56746474 + ], + [ + 73256354, + 87784985 + ], + [ + 94876163, + 53908446 + ], + [ + 92926116, + 80756891 + ], + [ + 87431488, + 9317255 + ], + [ + 32122823, + 34524378 + ], + [ + 47866088, + 53805468 + ], + [ + 54809940, + 79715695 + ], + [ + 27392238, + 99633705 + ], + [ + 57318922, + 59852256 + ], + [ + 77469178, + 71604523 + ], + [ + 20534929, + 63994819 + ], + [ + 30129474, + 79785300 + ], + [ + 3519286, + 61158337 + ], + [ + 44735321, + 74727229 + ], + [ + 81352299, + 75057858 + ], + [ + 71713565, + 6150586 + ], + [ + 66013489, + 45553999 + ], + [ + 82380753, + 59603636 + ], + [ + 1375606, + 56244727 + ], + [ + 2925389, + 3321354 + ], + [ + 81473773, + 75457807 + ], + [ + 90768987, + 39353288 + ], + [ + 52322723, + 62684616 + ], + [ + 86294265, + 52697002 + ], + [ + 76737023, + 94408341 + ], + [ + 36851461, + 36247614 + ], + [ + 46614761, + 56439033 + ], + [ + 73909986, + 12596517 + ], + [ + 86731150, + 64969631 + ], + [ + 42854484, + 39395461 + ], + [ + 68205266, + 3649725 + ], + [ + 68195473, + 89495992 + ], + [ + 29787167, + 99579930 + ], + [ + 68326346, + 79546210 + ], + [ + 57606404, + 24704309 + ], + [ + 54732357, + 4800554 + ], + [ + 83530153, + 41764392 + ], + [ + 69548568, + 15936215 + ], + [ + 61088264, + 93821072 + ], + [ + 3369692, + 93528119 + ], + [ + 49853941, + 23925492 + ], + [ + 88867919, + 15529041 + ], + [ + 70329979, + 64267337 + ], + [ + 17170412, + 46951484 + ], + [ + 2921649, + 46172891 + ], + [ + 56208254, + 86388481 + ], + [ + 45754039, + 48960414 + ], + [ + 24201908, + 42849620 + ], + [ + 62174200, + 75993428 + ], + [ + 67240233, + 19329767 + ], + [ + 46781912, + 41759884 + ], + [ + 92883937, + 48063964 + ], + [ + 17964447, + 38943357 + ], + [ + 87683583, + 37240833 + ], + [ + 51203589, + 6051149 + ], + [ + 5399261, + 33519575 + ], + [ + 51517319, + 67076738 + ], + [ + 26262816, + 61191066 + ], + [ + 11428221, + 30642557 + ], + [ + 14751287, + 74441273 + ], + [ + 82690854, + 95993330 + ], + [ + 94345187, + 87875 + ], + [ + 31099697, + 17574768 + ], + [ + 32264927, + 57063188 + ], + [ + 94138961, + 88787593 + ], + [ + 60381761, + 66119522 + ], + [ + 91207290, + 6624235 + ], + [ + 33804135, + 49394034 + ], + [ + 24750010, + 55528492 + ], + [ + 60423412, + 33466922 + ], + [ + 10198385, + 10117233 + ], + [ + 83839863, + 83604987 + ], + [ + 53737684, + 63459023 + ], + [ + 49111033, + 10467106 + ], + [ + 14357198, + 48199603 + ], + [ + 79698113, + 95154165 + ], + [ + 29762981, + 64320620 + ], + [ + 3245306, + 7852865 + ], + [ + 55610793, + 81822043 + ], + [ + 42952544, + 14568109 + ], + [ + 70942829, + 43233581 + ], + [ + 70755352, + 87704824 + ], + [ + 57677426, + 43349420 + ], + [ + 96933476, + 43624911 + ], + [ + 24879937, + 37826282 + ], + [ + 93763747, + 90829961 + ], + [ + 14134362, + 30183541 + ], + [ + 13113346, + 43334766 + ], + [ + 90302082, + 94050567 + ], + [ + 12228400, + 48021065 + ], + [ + 55807388, + 66159737 + ], + [ + 28588926, + 28667909 + ], + [ + 63182412, + 27779487 + ], + [ + 63594769, + 15217328 + ], + [ + 93732937, + 13493049 + ], + [ + 64702158, + 4030108 + ], + [ + 13134923, + 51556414 + ], + [ + 24104998, + 1850018 + ], + [ + 26445102, + 71896840 + ], + [ + 27715004, + 32843027 + ], + [ + 18522927, + 18603399 + ], + [ + 23923640, + 80810782 + ], + [ + 76892286, + 92112538 + ], + [ + 91095135, + 60712749 + ], + [ + 10775896, + 82397945 + ], + [ + 4893094, + 53256515 + ], + [ + 29309664, + 34581083 + ], + [ + 23209729, + 32640177 + ], + [ + 24577862, + 18149449 + ], + [ + 21284131, + 42064950 + ], + [ + 56365944, + 95786372 + ], + [ + 44807802, + 74219273 + ], + [ + 96942739, + 14431759 + ], + [ + 87921507, + 99548956 + ], + [ + 34247692, + 54790398 + ], + [ + 61110243, + 86525527 + ], + [ + 71893026, + 10534619 + ], + [ + 25615488, + 28751994 + ], + [ + 83118216, + 44754793 + ], + [ + 28244356, + 86447454 + ], + [ + 32434164, + 59611883 + ], + [ + 83012356, + 48020237 + ], + [ + 46676099, + 23496667 + ], + [ + 75852123, + 92345058 + ], + [ + 8052619, + 49379785 + ], + [ + 49311911, + 75994840 + ], + [ + 31737640, + 66085914 + ], + [ + 63114718, + 28483109 + ], + [ + 39515790, + 84290663 + ], + [ + 23405486, + 68831668 + ], + [ + 37111717, + 644032 + ], + [ + 34644780, + 84187443 + ], + [ + 33224598, + 4769803 + ], + [ + 36506178, + 4112840 + ], + [ + 92956130, + 93299113 + ], + [ + 43763261, + 21115643 + ], + [ + 31462473, + 7000529 + ], + [ + 48714060, + 94722766 + ], + [ + 75333356, + 75612367 + ], + [ + 33413700, + 29744773 + ], + [ + 61834583, + 13903647 + ], + [ + 52077790, + 55639050 + ], + [ + 56447118, + 23601407 + ], + [ + 93112871, + 81808129 + ], + [ + 27986663, + 88378352 + ], + [ + 98066933, + 88686354 + ], + [ + 29469128, + 63627423 + ], + [ + 57496668, + 33025521 + ], + [ + 77309458, + 68649403 + ], + [ + 6743574, + 9541040 + ], + [ + 47818135, + 34191801 + ], + [ + 93486320, + 71443843 + ], + [ + 24825007, + 25734163 + ], + [ + 38836179, + 31048132 + ], + [ + 19417004, + 9345227 + ], + [ + 8142298, + 57067283 + ], + [ + 81075848, + 70583973 + ], + [ + 38355600, + 71861585 + ], + [ + 95717432, + 51264212 + ], + [ + 69397271, + 47198151 + ], + [ + 78629068, + 71300491 + ], + [ + 13366106, + 83886733 + ], + [ + 91658276, + 57036940 + ], + [ + 9915890, + 13065910 + ], + [ + 75669532, + 74965764 + ], + [ + 84672865, + 30023581 + ], + [ + 64047007, + 73065210 + ], + [ + 62992206, + 44703094 + ], + [ + 40528597, + 87082750 + ], + [ + 10635943, + 49606654 + ], + [ + 68655937, + 7737082 + ], + [ + 98794456, + 22094690 + ], + [ + 32446007, + 35659489 + ], + [ + 73783903, + 5628099 + ], + [ + 39060361, + 9532566 + ], + [ + 84560521, + 75446349 + ], + [ + 38435335, + 88627571 + ], + [ + 69556972, + 61621489 + ], + [ + 63673506, + 29877170 + ], + [ + 98824321, + 88671914 + ], + [ + 73027077, + 60246243 + ], + [ + 36902899, + 20858182 + ], + [ + 35508341, + 86707852 + ], + [ + 32501680, + 10072689 + ], + [ + 34703561, + 49984492 + ], + [ + 34703508, + 87377446 + ], + [ + 93879520, + 89217852 + ], + [ + 18088454, + 12228058 + ], + [ + 79680022, + 13045004 + ], + [ + 267848, + 45889504 + ], + [ + 69765247, + 28710103 + ], + [ + 54473529, + 6525804 + ], + [ + 13963832, + 89097200 + ], + [ + 48395733, + 92778931 + ], + [ + 95168865, + 28787154 + ], + [ + 48654103, + 28458808 + ], + [ + 73031792, + 21703466 + ], + [ + 83618769, + 63616082 + ], + [ + 41102518, + 24401376 + ], + [ + 80642453, + 64104008 + ], + [ + 53701296, + 78377211 + ], + [ + 55577787, + 11081585 + ], + [ + 8427634, + 23289673 + ], + [ + 62126542, + 45932350 + ], + [ + 54479096, + 12430698 + ], + [ + 59049102, + 34945730 + ], + [ + 28083201, + 96025709 + ], + [ + 93404640, + 70705674 + ], + [ + 47883606, + 76990541 + ], + [ + 79124980, + 47303696 + ], + [ + 94401160, + 24037743 + ], + [ + 12946821, + 66015276 + ], + [ + 70378362, + 46697528 + ], + [ + 3359901, + 30465076 + ], + [ + 51550498, + 49347078 + ], + [ + 34798233, + 29364097 + ], + [ + 34487726, + 43476715 + ], + [ + 12821583, + 56003188 + ], + [ + 63436527, + 15459529 + ], + [ + 80357503, + 29345368 + ], + [ + 5114433, + 6239780 + ], + [ + 7359057, + 54393408 + ], + [ + 58808162, + 8722710 + ], + [ + 23816489, + 82058266 + ], + [ + 30541923, + 49218647 + ], + [ + 99561629, + 31340169 + ], + [ + 29083888, + 66515143 + ], + [ + 85357232, + 85876011 + ], + [ + 61040132, + 61845510 + ], + [ + 97215372, + 1221257 + ], + [ + 53558339, + 74456340 + ], + [ + 71282524, + 32214997 + ], + [ + 57487780, + 85353354 + ], + [ + 99736035, + 87885619 + ], + [ + 95717506, + 15212247 + ], + [ + 41943641, + 39054013 + ], + [ + 36148830, + 92791046 + ], + [ + 76023549, + 95253584 + ], + [ + 35515490, + 18694521 + ], + [ + 11157249, + 95196186 + ], + [ + 49549073, + 97962969 + ], + [ + 23804390, + 53602677 + ], + [ + 87289118, + 31422821 + ], + [ + 3396955, + 15089625 + ], + [ + 51840317, + 61296404 + ], + [ + 27169604, + 8606070 + ], + [ + 79768637, + 69083869 + ], + [ + 36745847, + 46166024 + ], + [ + 15154323, + 17942458 + ], + [ + 96069569, + 33851833 + ], + [ + 322296, + 60264937 + ], + [ + 79348127, + 7549002 + ], + [ + 12398368, + 86810497 + ], + [ + 50864070, + 90137013 + ], + [ + 32389559, + 29596257 + ], + [ + 44146424, + 13209467 + ], + [ + 31868318, + 97616241 + ], + [ + 63823570, + 28663179 + ], + [ + 67151394, + 64469067 + ], + [ + 21380096, + 9917346 + ], + [ + 27618975, + 66608266 + ], + [ + 78475292, + 68810136 + ], + [ + 86690788, + 4366455 + ], + [ + 3498807, + 42685949 + ], + [ + 45454350, + 5982631 + ], + [ + 38801485, + 83673870 + ], + [ + 71840504, + 59881717 + ], + [ + 1501259, + 46008964 + ], + [ + 81103395, + 76853569 + ], + [ + 69259558, + 93140864 + ], + [ + 97465765, + 9894440 + ], + [ + 91559828, + 93727659 + ], + [ + 61540292, + 14167494 + ], + [ + 46023844, + 38323081 + ], + [ + 76968803, + 61648954 + ], + [ + 89740136, + 64242899 + ], + [ + 45571622, + 88050820 + ], + [ + 74800723, + 50472588 + ], + [ + 42925775, + 51748755 + ], + [ + 99321, + 45623136 + ], + [ + 9304390, + 98522657 + ], + [ + 37507968, + 90904590 + ], + [ + 25075402, + 60710702 + ], + [ + 86163033, + 37985320 + ], + [ + 36952246, + 36826877 + ], + [ + 59352666, + 61859567 + ], + [ + 54796256, + 95362439 + ], + [ + 56565929, + 8330734 + ], + [ + 50931904, + 61285862 + ], + [ + 73721943, + 32240171 + ], + [ + 14742449, + 45089757 + ], + [ + 44774292, + 97636953 + ], + [ + 80298468, + 12584919 + ], + [ + 33196537, + 28237862 + ], + [ + 31159766, + 76514913 + ], + [ + 93935299, + 2403262 + ], + [ + 5675321, + 23946919 + ], + [ + 93860480, + 4511488 + ], + [ + 13488937, + 65196465 + ], + [ + 5195039, + 50633271 + ], + [ + 15024511, + 84782000 + ], + [ + 24648308, + 51575658 + ], + [ + 28839322, + 6682029 + ], + [ + 6005956, + 44940186 + ], + [ + 63278901, + 77921075 + ], + [ + 34921366, + 7688709 + ], + [ + 14463423, + 17518982 + ], + [ + 23704147, + 45009092 + ], + [ + 43481624, + 24788937 + ], + [ + 22557212, + 57413257 + ], + [ + 54832170, + 59212460 + ], + [ + 55023068, + 49630700 + ], + [ + 69402117, + 88067596 + ], + [ + 27118564, + 27933248 + ], + [ + 65869982, + 46515228 + ], + [ + 34888023, + 26412837 + ], + [ + 43672440, + 52548766 + ], + [ + 78761251, + 52884839 + ], + [ + 3276406, + 96818580 + ], + [ + 72326725, + 75213762 + ], + [ + 65154360, + 7901328 + ], + [ + 94044793, + 61922300 + ], + [ + 96312327, + 41341939 + ], + [ + 55103374, + 65061101 + ], + [ + 33221977, + 78239972 + ], + [ + 15317001, + 73524293 + ], + [ + 18730153, + 97522577 + ], + [ + 68046043, + 87891516 + ], + [ + 99637170, + 80574780 + ], + [ + 38473989, + 66402544 + ], + [ + 32789288, + 57914205 + ], + [ + 30233013, + 84513147 + ], + [ + 44790472, + 60740952 + ], + [ + 10722761, + 78845213 + ], + [ + 59161424, + 27584340 + ], + [ + 59286763, + 19144692 + ], + [ + 39302551, + 87742382 + ], + [ + 27309726, + 95710825 + ], + [ + 4964978, + 95875600 + ], + [ + 95822219, + 85095987 + ], + [ + 69876493, + 60637875 + ], + [ + 64450949, + 8847586 + ], + [ + 20951957, + 53854613 + ], + [ + 73765586, + 34382252 + ], + [ + 65464402, + 17834570 + ], + [ + 34298681, + 99290315 + ], + [ + 39801681, + 17411732 + ], + [ + 28397862, + 85958321 + ], + [ + 61449465, + 77904937 + ], + [ + 78654996, + 62397251 + ], + [ + 71817319, + 69792652 + ], + [ + 5640438, + 69234611 + ], + [ + 99333210, + 82829858 + ], + [ + 33594515, + 62716396 + ], + [ + 92845186, + 87333314 + ], + [ + 38220267, + 92571035 + ], + [ + 55909895, + 67445224 + ], + [ + 29426498, + 54325109 + ], + [ + 61119383, + 47818265 + ], + [ + 64355801, + 92458895 + ], + [ + 66460305, + 97509825 + ], + [ + 6273312, + 35287754 + ], + [ + 50447822, + 43772730 + ], + [ + 7067329, + 3216787 + ], + [ + 41630302, + 90239138 + ], + [ + 75447051, + 10742582 + ], + [ + 52839450, + 70975873 + ], + [ + 67799459, + 23204201 + ], + [ + 54506048, + 69136707 + ], + [ + 74486773, + 98907944 + ], + [ + 28252100, + 23024736 + ], + [ + 93466121, + 89183375 + ], + [ + 39183302, + 90358645 + ], + [ + 63429330, + 83046411 + ], + [ + 85601477, + 96381037 + ], + [ + 15425734, + 49744852 + ], + [ + 16711776, + 86779486 + ], + [ + 93577516, + 15881104 + ], + [ + 96806677, + 66708283 + ], + [ + 42999090, + 36342598 + ], + [ + 37423946, + 2344503 + ], + [ + 36680748, + 21371764 + ], + [ + 47881819, + 15815566 + ], + [ + 65763088, + 67531110 + ], + [ + 16515629, + 89973617 + ], + [ + 56360713, + 83028381 + ], + [ + 21541540, + 78378494 + ], + [ + 19141978, + 40315994 + ], + [ + 28693024, + 11857780 + ], + [ + 44763605, + 45674963 + ], + [ + 7006392, + 38662810 + ], + [ + 79597477, + 12189700 + ], + [ + 68029601, + 16754069 + ], + [ + 38975315, + 50451574 + ], + [ + 79622100, + 71072569 + ], + [ + 24053505, + 54333682 + ], + [ + 95016474, + 34076723 + ], + [ + 38619779, + 12060974 + ], + [ + 61822611, + 34696048 + ], + [ + 22285480, + 41961967 + ], + [ + 31439597, + 10230243 + ], + [ + 51338284, + 97299562 + ], + [ + 77815719, + 24124199 + ], + [ + 93208006, + 50785513 + ], + [ + 5233195, + 70991809 + ], + [ + 57991078, + 4694056 + ], + [ + 30919596, + 21263204 + ], + [ + 90723204, + 55040956 + ], + [ + 10621512, + 46169412 + ], + [ + 68763243, + 3121859 + ], + [ + 4647768, + 68905531 + ], + [ + 584181, + 81624551 + ], + [ + 18550105, + 66948089 + ], + [ + 90428312, + 5255099 + ], + [ + 95972008, + 18631778 + ], + [ + 1917683, + 47915246 + ], + [ + 91827181, + 16922292 + ], + [ + 33950718, + 16444176 + ], + [ + 27517895, + 88750558 + ], + [ + 36900889, + 83454568 + ], + [ + 31485902, + 69647183 + ], + [ + 55292748, + 3969766 + ], + [ + 82058346, + 29203951 + ], + [ + 77230343, + 45583014 + ], + [ + 10942760, + 80014613 + ], + [ + 15094007, + 69591071 + ], + [ + 13426506, + 18220689 + ], + [ + 52275518, + 79663173 + ], + [ + 66982099, + 53734161 + ], + [ + 9371747, + 78622315 + ], + [ + 14654425, + 90855996 + ], + [ + 59287056, + 17291135 + ], + [ + 68001361, + 26372551 + ], + [ + 31432819, + 66710101 + ], + [ + 918508, + 60174910 + ], + [ + 80256410, + 9865314 + ], + [ + 65407972, + 27077821 + ], + [ + 97088048, + 75511111 + ], + [ + 5533619, + 50230050 + ], + [ + 29451664, + 78171820 + ], + [ + 20550482, + 43174885 + ], + [ + 62406808, + 44413972 + ], + [ + 48241288, + 16174115 + ], + [ + 93001892, + 51692385 + ], + [ + 98785527, + 41048799 + ], + [ + 48836709, + 53201092 + ], + [ + 60883917, + 44213613 + ], + [ + 95358480, + 23470170 + ], + [ + 44344892, + 38497556 + ], + [ + 39928923, + 11805279 + ], + [ + 96639076, + 54528497 + ], + [ + 36193997, + 79192403 + ], + [ + 57585877, + 21463202 + ], + [ + 16127517, + 15168266 + ], + [ + 18383776, + 19232398 + ], + [ + 41804252, + 92112005 + ], + [ + 77221133, + 41084202 + ], + [ + 87492151, + 35872115 + ], + [ + 64566191, + 20695507 + ], + [ + 79558943, + 40945648 + ], + [ + 73719015, + 45033496 + ], + [ + 84615238, + 59174820 + ], + [ + 40508610, + 2421515 + ], + [ + 22400447, + 52100298 + ], + [ + 28894098, + 20050717 + ], + [ + 23225675, + 50681601 + ], + [ + 49820476, + 25321814 + ], + [ + 58072010, + 23712589 + ], + [ + 76318642, + 26418083 + ], + [ + 55893136, + 8352113 + ], + [ + 38646444, + 17367146 + ], + [ + 99412930, + 45449852 + ], + [ + 98074999, + 14616456 + ], + [ + 40356352, + 6444873 + ], + [ + 62434320, + 44189699 + ], + [ + 99180753, + 53371850 + ], + [ + 88203149, + 43711631 + ], + [ + 28835004, + 31407491 + ], + [ + 40619281, + 22082887 + ], + [ + 75662359, + 27312443 + ], + [ + 91084692, + 87979045 + ], + [ + 77530412, + 61236636 + ], + [ + 11031424, + 82766209 + ], + [ + 15484080, + 37152186 + ], + [ + 52832438, + 68169225 + ], + [ + 22991688, + 9169237 + ], + [ + 51828494, + 13601504 + ], + [ + 28643759, + 84729759 + ], + [ + 91901850, + 93127427 + ], + [ + 38339680, + 54037601 + ], + [ + 69560639, + 51468238 + ], + [ + 49338677, + 36869373 + ], + [ + 71727184, + 36533336 + ], + [ + 18472952, + 68655462 + ], + [ + 18769783, + 50228027 + ], + [ + 31080970, + 73764814 + ], + [ + 75216314, + 71770423 + ], + [ + 2526233, + 71655309 + ], + [ + 48309096, + 53478573 + ], + [ + 24007405, + 16303554 + ], + [ + 30117314, + 87541730 + ], + [ + 91104499, + 2689886 + ], + [ + 71360695, + 86040285 + ], + [ + 48116259, + 4084820 + ], + [ + 68041794, + 6620219 + ], + [ + 8639479, + 64155676 + ], + [ + 11159619, + 32429162 + ], + [ + 34403342, + 83832028 + ], + [ + 15512513, + 76921227 + ], + [ + 15274947, + 99357326 + ], + [ + 99461729, + 60700882 + ], + [ + 77572101, + 62209616 + ], + [ + 67458474, + 79926844 + ], + [ + 92665644, + 19995789 + ], + [ + 3810065, + 72733256 + ], + [ + 20941441, + 92782624 + ], + [ + 87941605, + 33109644 + ], + [ + 64261947, + 92963755 + ], + [ + 49093554, + 96896980 + ], + [ + 12358783, + 56049599 + ], + [ + 2975907, + 19457444 + ], + [ + 18160549, + 19280897 + ], + [ + 77455750, + 49965273 + ], + [ + 58159980, + 56840525 + ], + [ + 3554388, + 86734983 + ], + [ + 19319009, + 71267298 + ], + [ + 4244750, + 38427020 + ], + [ + 87617879, + 18933795 + ], + [ + 87888601, + 70090591 + ], + [ + 95022140, + 51689857 + ], + [ + 33919989, + 65887749 + ], + [ + 6916129, + 9767091 + ], + [ + 7095044, + 29082499 + ], + [ + 31390228, + 67606437 + ], + [ + 64936208, + 34518447 + ], + [ + 53579775, + 6415395 + ], + [ + 6767255, + 282804 + ], + [ + 4534787, + 80994651 + ], + [ + 43150770, + 16198884 + ], + [ + 43652236, + 36917985 + ], + [ + 50179990, + 18296671 + ], + [ + 56360421, + 63155552 + ], + [ + 44983588, + 33800400 + ], + [ + 69538443, + 73567510 + ], + [ + 43243059, + 5255221 + ], + [ + 35140537, + 83203591 + ], + [ + 92310032, + 49051882 + ], + [ + 7435472, + 92816026 + ], + [ + 79376276, + 31183703 + ], + [ + 5643629, + 89911809 + ], + [ + 95043163, + 46890752 + ], + [ + 25374490, + 62344375 + ], + [ + 34382699, + 57496447 + ], + [ + 67849350, + 81302301 + ], + [ + 60240865, + 16430537 + ], + [ + 98534818, + 89568050 + ], + [ + 6294944, + 20478711 + ], + [ + 81773518, + 22697699 + ], + [ + 62780092, + 51237300 + ], + [ + 2444966, + 74210704 + ], + [ + 72060492, + 66980462 + ], + [ + 70367402, + 70038010 + ], + [ + 17658537, + 66610915 + ], + [ + 68356606, + 55212259 + ], + [ + 23278631, + 8493800 + ], + [ + 20616463, + 63636674 + ], + [ + 46060941, + 63582636 + ], + [ + 29869334, + 5026720 + ], + [ + 37856516, + 76051796 + ], + [ + 89401597, + 73406623 + ], + [ + 5885549, + 75754978 + ], + [ + 29413837, + 52260416 + ], + [ + 31319522, + 4148254 + ], + [ + 34610786, + 48340253 + ], + [ + 98879448, + 7630908 + ], + [ + 76563061, + 28549357 + ], + [ + 6574300, + 67633125 + ], + [ + 25293363, + 96332622 + ], + [ + 22914917, + 20740413 + ], + [ + 61773356, + 27139379 + ], + [ + 73679232, + 45265977 + ], + [ + 69542392, + 75319945 + ], + [ + 55258044, + 38354182 + ], + [ + 31598585, + 57055895 + ], + [ + 86179834, + 37648031 + ], + [ + 18506458, + 94201587 + ], + [ + 61684709, + 72572407 + ], + [ + 63315985, + 84557123 + ], + [ + 65152917, + 86568023 + ], + [ + 45225509, + 49989443 + ], + [ + 40552925, + 60500994 + ], + [ + 27086858, + 51291723 + ], + [ + 24637301, + 55504062 + ], + [ + 38120213, + 79971206 + ], + [ + 60052517, + 6841095 + ], + [ + 34680311, + 54948651 + ], + [ + 35462371, + 76575618 + ], + [ + 2508934, + 73000799 + ], + [ + 37506314, + 14808392 + ], + [ + 15576453, + 83622097 + ], + [ + 13353898, + 62424468 + ], + [ + 42524153, + 33973656 + ], + [ + 63051961, + 57958964 + ], + [ + 49874634, + 20995263 + ], + [ + 23860777, + 90306687 + ], + [ + 84727547, + 92841927 + ], + [ + 96511343, + 12719381 + ], + [ + 68986181, + 95575770 + ], + [ + 3061166, + 54551063 + ], + [ + 43756643, + 37325266 + ], + [ + 65113119, + 57536441 + ], + [ + 53091755, + 82033964 + ], + [ + 17440720, + 15389128 + ], + [ + 55800953, + 9987516 + ], + [ + 97094281, + 21783113 + ], + [ + 87323850, + 59010421 + ], + [ + 1096681, + 41210541 + ], + [ + 59830437, + 21065070 + ], + [ + 26476840, + 27034489 + ], + [ + 86648124, + 50255455 + ], + [ + 73672483, + 37659659 + ], + [ + 47105094, + 5455058 + ], + [ + 75030668, + 43630707 + ], + [ + 31539600, + 87352794 + ], + [ + 32552225, + 91704038 + ], + [ + 67889622, + 27223630 + ], + [ + 39497226, + 9741040 + ], + [ + 78871856, + 35533562 + ], + [ + 31818061, + 77083206 + ], + [ + 23097466, + 38859142 + ], + [ + 11894437, + 57757459 + ], + [ + 41837121, + 66356206 + ], + [ + 85731311, + 74535532 + ], + [ + 51223399, + 5189728 + ], + [ + 75534046, + 94008633 + ], + [ + 43951474, + 43471757 + ], + [ + 59998504, + 74216251 + ], + [ + 7949607, + 75839427 + ], + [ + 26418941, + 37186778 + ], + [ + 16377921, + 91339455 + ], + [ + 65225980, + 95516434 + ], + [ + 22420124, + 37706076 + ], + [ + 61098515, + 95583012 + ], + [ + 55842366, + 76784296 + ], + [ + 31321893, + 66458301 + ], + [ + 16572309, + 97745076 + ], + [ + 57432871, + 76455433 + ], + [ + 11076450, + 88077205 + ], + [ + 50826733, + 71782092 + ], + [ + 82965290, + 91321196 + ], + [ + 6813155, + 9669555 + ], + [ + 78890435, + 23732806 + ], + [ + 35703511, + 86015818 + ], + [ + 53012246, + 61475477 + ], + [ + 69861069, + 8629455 + ], + [ + 76898427, + 54673875 + ], + [ + 80071835, + 17915005 + ], + [ + 62733964, + 3750360 + ], + [ + 91908772, + 40087000 + ], + [ + 87606122, + 86240705 + ], + [ + 12178317, + 81940798 + ], + [ + 47902211, + 74609373 + ], + [ + 72938043, + 29741979 + ], + [ + 6662658, + 89985802 + ], + [ + 21840042, + 82663864 + ], + [ + 30266281, + 39253737 + ], + [ + 185597, + 57645864 + ], + [ + 8227123, + 81568656 + ], + [ + 69260752, + 61168382 + ], + [ + 88082504, + 15431686 + ], + [ + 71794425, + 27909049 + ], + [ + 4247893, + 37039800 + ], + [ + 26496683, + 9127218 + ], + [ + 29606862, + 19296360 + ], + [ + 60936859, + 19994535 + ], + [ + 4501742, + 39416245 + ], + [ + 30301131, + 47391445 + ], + [ + 4885686, + 21478174 + ], + [ + 73245, + 34448371 + ], + [ + 41240265, + 19314403 + ], + [ + 738651, + 90706962 + ], + [ + 50053832, + 17670195 + ], + [ + 65828153, + 76717029 + ], + [ + 23194764, + 32565476 + ], + [ + 4879263, + 30789741 + ], + [ + 3160551, + 69659850 + ], + [ + 37602235, + 49003780 + ], + [ + 74789737, + 8791872 + ], + [ + 22729554, + 88838951 + ], + [ + 56736146, + 2451744 + ], + [ + 73525115, + 81008456 + ], + [ + 18336771, + 57788133 + ], + [ + 33235435, + 11009046 + ], + [ + 39422336, + 52435409 + ], + [ + 76514863, + 30941929 + ], + [ + 93260899, + 39620665 + ], + [ + 10970420, + 66981178 + ], + [ + 98554796, + 5682793 + ], + [ + 69312068, + 90451231 + ], + [ + 90539855, + 46028481 + ], + [ + 93658428, + 64737001 + ], + [ + 42982077, + 93871340 + ], + [ + 43083404, + 55601668 + ], + [ + 76422512, + 43619270 + ], + [ + 19361770, + 39769216 + ], + [ + 94824182, + 94387951 + ], + [ + 92936851, + 13626398 + ], + [ + 44944259, + 28432595 + ], + [ + 2354294, + 12721873 + ], + [ + 97485044, + 92841395 + ], + [ + 61201205, + 55711394 + ], + [ + 18664678, + 33939713 + ], + [ + 96745678, + 97929412 + ], + [ + 22967282, + 20888458 + ], + [ + 19884466, + 6112392 + ], + [ + 14883105, + 28525385 + ], + [ + 23009645, + 68861074 + ], + [ + 51010300, + 31606499 + ], + [ + 56168169, + 30906790 + ], + [ + 44640893, + 20892083 + ], + [ + 5690664, + 90029071 + ], + [ + 55397132, + 32051969 + ], + [ + 45609256, + 40215218 + ], + [ + 61569299, + 10328323 + ], + [ + 2138776, + 49625901 + ], + [ + 23066723, + 66844821 + ], + [ + 91018433, + 60452788 + ], + [ + 7880281, + 55227463 + ], + [ + 8159669, + 39357856 + ], + [ + 6834062, + 90310337 + ], + [ + 61615672, + 93160545 + ], + [ + 951439, + 16770148 + ], + [ + 8100992, + 64973838 + ], + [ + 55414278, + 30735575 + ], + [ + 17243160, + 67826670 + ], + [ + 75452465, + 98820379 + ], + [ + 61050938, + 26056983 + ], + [ + 60946946, + 56701411 + ], + [ + 33985460, + 8648014 + ], + [ + 10318684, + 29420479 + ], + [ + 30348180, + 54835827 + ], + [ + 52203367, + 47492230 + ], + [ + 95620813, + 40792201 + ], + [ + 1464277, + 34442736 + ], + [ + 24700456, + 41522187 + ], + [ + 45222981, + 5291656 + ], + [ + 82867674, + 60311231 + ], + [ + 22609714, + 96603732 + ], + [ + 94542343, + 33139688 + ], + [ + 48988668, + 53079914 + ], + [ + 99497440, + 34710839 + ], + [ + 83162057, + 37646754 + ], + [ + 94371428, + 62385532 + ], + [ + 13059680, + 62804143 + ], + [ + 39920673, + 90721132 + ], + [ + 73432912, + 87555470 + ], + [ + 96951784, + 50483709 + ], + [ + 49865180, + 57814065 + ], + [ + 86602459, + 72552596 + ], + [ + 2691694, + 83731155 + ], + [ + 20119431, + 91919057 + ], + [ + 9737592, + 20479354 + ], + [ + 58191956, + 89787666 + ], + [ + 48245230, + 67704334 + ], + [ + 87354121, + 88994643 + ], + [ + 16672288, + 10509320 + ], + [ + 43360409, + 18918915 + ], + [ + 13169062, + 74833704 + ], + [ + 86739986, + 49874959 + ], + [ + 78534481, + 95800611 + ], + [ + 22944045, + 41074520 + ], + [ + 51334342, + 37517226 + ], + [ + 88565304, + 4179170 + ], + [ + 4157087, + 34317537 + ], + [ + 31047693, + 68202693 + ], + [ + 58572686, + 23610943 + ], + [ + 64321901, + 47640097 + ], + [ + 54312504, + 65982902 + ], + [ + 2753477, + 17093642 + ], + [ + 1213598, + 80868445 + ], + [ + 97741724, + 90851977 + ], + [ + 72696663, + 36555315 + ], + [ + 92504894, + 40666542 + ], + [ + 10996381, + 16757259 + ], + [ + 18511139, + 7488066 + ], + [ + 39830003, + 75465694 + ], + [ + 81474644, + 9536286 + ], + [ + 37040326, + 93709438 + ], + [ + 18886872, + 68997240 + ], + [ + 88325542, + 82397897 + ], + [ + 86059431, + 57248039 + ], + [ + 46183868, + 95651493 + ], + [ + 82530701, + 84647345 + ], + [ + 97837834, + 57082893 + ], + [ + 36525297, + 15055631 + ], + [ + 42259296, + 34812618 + ], + [ + 7995142, + 55566510 + ], + [ + 64442969, + 31503643 + ], + [ + 70574629, + 3983151 + ], + [ + 30286063, + 47012479 + ], + [ + 53719671, + 11810766 + ], + [ + 81971678, + 34583581 + ], + [ + 50587916, + 83338924 + ], + [ + 43692670, + 77771138 + ], + [ + 65454712, + 78754351 + ], + [ + 83822057, + 82028571 + ], + [ + 46964728, + 89120238 + ], + [ + 15056652, + 74040959 + ], + [ + 34682829, + 21057217 + ], + [ + 91776893, + 57481077 + ], + [ + 27639871, + 90094324 + ], + [ + 5295558, + 37634375 + ], + [ + 84274282, + 38855588 + ], + [ + 85820671, + 27825796 + ], + [ + 44198753, + 93234217 + ], + [ + 19545659, + 94159274 + ], + [ + 20233295, + 92337276 + ], + [ + 5604005, + 59233075 + ], + [ + 25186956, + 41934419 + ], + [ + 2762421, + 59522757 + ], + [ + 17317785, + 2558756 + ], + [ + 51521010, + 24155910 + ], + [ + 97930709, + 60106123 + ], + [ + 22258556, + 55289221 + ], + [ + 71284635, + 44482117 + ], + [ + 1386468, + 9724442 + ], + [ + 48849528, + 93076495 + ], + [ + 41729878, + 79044320 + ], + [ + 47351591, + 77378810 + ], + [ + 50110043, + 78099008 + ], + [ + 66857045, + 18929397 + ], + [ + 14996495, + 49846716 + ], + [ + 34580309, + 93144719 + ], + [ + 56787945, + 95660762 + ], + [ + 47437012, + 61520266 + ], + [ + 67522140, + 33834925 + ], + [ + 43398871, + 76516727 + ], + [ + 24663436, + 9337416 + ], + [ + 10841491, + 95633391 + ], + [ + 6615256, + 13349380 + ], + [ + 97902674, + 68662387 + ], + [ + 37883786, + 48073303 + ], + [ + 99261976, + 69342112 + ], + [ + 46145721, + 47481226 + ], + [ + 88041505, + 4361144 + ], + [ + 9580772, + 18798089 + ], + [ + 97483798, + 17806772 + ], + [ + 53483217, + 91450409 + ], + [ + 80494971, + 88930219 + ], + [ + 76839436, + 58193938 + ], + [ + 75756198, + 7446251 + ], + [ + 13352594, + 7295939 + ], + [ + 54316180, + 32551954 + ], + [ + 41314337, + 6744723 + ], + [ + 79540326, + 86478174 + ], + [ + 28746833, + 19985813 + ], + [ + 11131310, + 23202151 + ], + [ + 65625520, + 99234756 + ], + [ + 1989767, + 13163759 + ], + [ + 12943907, + 97027026 + ], + [ + 91966946, + 91926937 + ], + [ + 12488188, + 43354822 + ], + [ + 87538403, + 22729310 + ], + [ + 24273392, + 98857847 + ], + [ + 55909583, + 98767381 + ], + [ + 58590349, + 62425256 + ], + [ + 70796300, + 61130059 + ], + [ + 63323355, + 90276662 + ], + [ + 9504158, + 89169622 + ], + [ + 78774705, + 12256871 + ], + [ + 49076956, + 53967883 + ], + [ + 29467043, + 66177573 + ], + [ + 47504878, + 21468743 + ], + [ + 59215861, + 9543348 + ], + [ + 26862502, + 52650626 + ], + [ + 63970228, + 35114119 + ], + [ + 29162745, + 66133212 + ], + [ + 55862899, + 45230959 + ], + [ + 9350777, + 42682885 + ], + [ + 56023853, + 59453949 + ], + [ + 69512659, + 89547246 + ], + [ + 45915202, + 15458522 + ], + [ + 99233621, + 16781899 + ], + [ + 74341689, + 24215247 + ], + [ + 88975626, + 2221621 + ], + [ + 86303752, + 61410587 + ], + [ + 61993567, + 77256414 + ], + [ + 36621981, + 65995378 + ], + [ + 91263383, + 30469845 + ], + [ + 93476194, + 55897875 + ], + [ + 53349439, + 40335307 + ], + [ + 54252378, + 89917614 + ], + [ + 74382898, + 17049391 + ], + [ + 73704259, + 94083469 + ], + [ + 4583977, + 60505735 + ], + [ + 57810662, + 39894325 + ], + [ + 58449159, + 88873359 + ], + [ + 38416574, + 5947275 + ], + [ + 84052241, + 76247786 + ], + [ + 77927870, + 14740263 + ], + [ + 850882, + 60124451 + ], + [ + 93545085, + 96574921 + ], + [ + 17294516, + 83311611 + ], + [ + 3625730, + 92561528 + ], + [ + 65367134, + 44359421 + ], + [ + 4015458, + 80489267 + ], + [ + 65639927, + 37041916 + ], + [ + 64959248, + 90876550 + ], + [ + 60772445, + 14178251 + ], + [ + 23814342, + 28302351 + ], + [ + 22459085, + 88877666 + ], + [ + 42047545, + 59879667 + ], + [ + 61652216, + 9691711 + ], + [ + 51960135, + 98805596 + ], + [ + 13705135, + 9951987 + ], + [ + 73391518, + 25944180 + ], + [ + 1241976, + 88316402 + ], + [ + 23247151, + 12556002 + ], + [ + 48845725, + 66438460 + ], + [ + 13306309, + 32046446 + ], + [ + 98073421, + 61320809 + ], + [ + 44975493, + 19078798 + ], + [ + 24184429, + 84079261 + ], + [ + 20231292, + 13642807 + ], + [ + 22736991, + 52238157 + ], + [ + 40369497, + 79187212 + ], + [ + 88281395, + 16470391 + ], + [ + 9425828, + 489967 + ], + [ + 66222263, + 42184962 + ], + [ + 1934772, + 51228499 + ], + [ + 56282277, + 86458852 + ], + [ + 42669713, + 40221364 + ], + [ + 26288751, + 55359908 + ], + [ + 75794118, + 29896711 + ], + [ + 12084317, + 4984000 + ], + [ + 44274556, + 87813135 + ], + [ + 4701821, + 24205445 + ], + [ + 11471912, + 52347599 + ], + [ + 91609584, + 68982880 + ], + [ + 35763110, + 31268779 + ], + [ + 9797936, + 85140168 + ], + [ + 49825993, + 16985501 + ], + [ + 22115721, + 58148376 + ], + [ + 73995766, + 75217874 + ], + [ + 41395345, + 32130317 + ], + [ + 89341414, + 94960592 + ], + [ + 67558590, + 6455029 + ], + [ + 82490959, + 45413811 + ], + [ + 69705209, + 91926341 + ], + [ + 31323369, + 94192862 + ], + [ + 70179978, + 69693624 + ], + [ + 89125100, + 69048437 + ], + [ + 42345406, + 31614917 + ], + [ + 95836670, + 15594994 + ], + [ + 89585099, + 82655028 + ], + [ + 7046557, + 18344745 + ], + [ + 34617204, + 75726306 + ], + [ + 93269683, + 21927048 + ], + [ + 71770008, + 85834861 + ], + [ + 242028, + 65284479 + ], + [ + 56673657, + 85547475 + ], + [ + 84993344, + 31653178 + ], + [ + 14006048, + 61684233 + ], + [ + 97383460, + 83747573 + ], + [ + 5099237, + 15311540 + ], + [ + 66317095, + 93742300 + ], + [ + 6092638, + 3970567 + ], + [ + 11126994, + 76671178 + ], + [ + 48176861, + 29022169 + ], + [ + 41973421, + 15003016 + ], + [ + 92818798, + 34551567 + ], + [ + 46257087, + 51224000 + ], + [ + 1129550, + 96817608 + ], + [ + 25900465, + 2019153 + ], + [ + 74564634, + 72793225 + ], + [ + 4881202, + 4706355 + ], + [ + 86151803, + 62140594 + ], + [ + 42079456, + 3235820 + ], + [ + 74242511, + 58798353 + ], + [ + 86824636, + 80525892 + ], + [ + 67003614, + 64114600 + ], + [ + 15120807, + 81891869 + ], + [ + 41472406, + 42895743 + ], + [ + 11727647, + 13918097 + ], + [ + 4037021, + 77951706 + ], + [ + 90299085, + 75726752 + ], + [ + 26276485, + 10949333 + ], + [ + 25310589, + 38742422 + ], + [ + 54253999, + 11761949 + ], + [ + 26039381, + 83222627 + ], + [ + 37704521, + 5688309 + ], + [ + 76190551, + 6676046 + ], + [ + 28554904, + 99221096 + ], + [ + 75941905, + 5488951 + ], + [ + 93389554, + 40530347 + ], + [ + 95102347, + 3209333 + ], + [ + 41676750, + 66757828 + ], + [ + 53654208, + 32358480 + ], + [ + 41421187, + 78408929 + ], + [ + 46589821, + 18762054 + ], + [ + 26375059, + 46048046 + ], + [ + 33538986, + 4266406 + ], + [ + 87980397, + 2209963 + ], + [ + 64920644, + 69747597 + ], + [ + 57245744, + 20826109 + ], + [ + 97000904, + 16757504 + ], + [ + 37602235, + 2261930 + ], + [ + 42639101, + 60810506 + ], + [ + 76741936, + 40732036 + ], + [ + 66476177, + 32507636 + ], + [ + 91327975, + 41999934 + ], + [ + 50361607, + 60133863 + ], + [ + 16052930, + 41700614 + ], + [ + 29196778, + 10999097 + ], + [ + 8496681, + 95117659 + ], + [ + 73130823, + 87073223 + ], + [ + 55489366, + 80370921 + ], + [ + 69550209, + 69822319 + ], + [ + 19721700, + 6212670 + ], + [ + 22157272, + 51598038 + ], + [ + 30702348, + 78095107 + ], + [ + 77038132, + 91600168 + ], + [ + 38438791, + 87153460 + ], + [ + 76002383, + 53997937 + ], + [ + 48789815, + 69941817 + ], + [ + 58198921, + 31510706 + ], + [ + 56467749, + 79791592 + ], + [ + 23957755, + 6168597 + ], + [ + 23475435, + 23220570 + ], + [ + 95676553, + 89291629 + ], + [ + 27911459, + 85793218 + ], + [ + 23563175, + 86979960 + ], + [ + 10102373, + 73453852 + ], + [ + 65797492, + 7990875 + ], + [ + 8318085, + 58198248 + ], + [ + 10273530, + 79844375 + ], + [ + 24826442, + 36042761 + ], + [ + 3481133, + 84093091 + ], + [ + 88238295, + 33459989 + ], + [ + 22206355, + 40288240 + ], + [ + 91303945, + 70324363 + ], + [ + 77473612, + 74944105 + ], + [ + 46969085, + 25455502 + ], + [ + 99126838, + 45539984 + ], + [ + 71380018, + 23044610 + ], + [ + 93436791, + 55371082 + ], + [ + 67597397, + 4967294 + ], + [ + 96727486, + 82421523 + ], + [ + 91200073, + 10069481 + ], + [ + 9307993, + 12516520 + ], + [ + 96539585, + 17964134 + ], + [ + 75977839, + 56977173 + ], + [ + 13061403, + 89276057 + ], + [ + 80441877, + 1580103 + ], + [ + 82121615, + 93580826 + ], + [ + 58736244, + 19131368 + ], + [ + 19625545, + 81897045 + ], + [ + 32278714, + 49033941 + ], + [ + 11418635, + 60304192 + ], + [ + 46761053, + 95106091 + ], + [ + 23863025, + 44016762 + ], + [ + 42705744, + 91084875 + ], + [ + 54595945, + 65227487 + ], + [ + 44737076, + 52679935 + ], + [ + 98704296, + 77872631 + ], + [ + 54378843, + 48406983 + ], + [ + 47289845, + 96148167 + ], + [ + 5627370, + 86116675 + ], + [ + 26625241, + 20683168 + ], + [ + 5201185, + 65961073 + ], + [ + 34744245, + 77873818 + ], + [ + 13951643, + 69185997 + ], + [ + 64419892, + 1047533 + ], + [ + 42294549, + 67303329 + ], + [ + 29350872, + 64002698 + ], + [ + 69444677, + 70508616 + ], + [ + 66514015, + 62308225 + ], + [ + 64972402, + 19137070 + ], + [ + 64704647, + 1013132 + ], + [ + 77110802, + 35004462 + ], + [ + 91832695, + 31968621 + ], + [ + 77172086, + 15116330 + ], + [ + 56230129, + 90694301 + ], + [ + 14843699, + 20925221 + ], + [ + 91204286, + 8708340 + ], + [ + 55705850, + 78016274 + ], + [ + 61633726, + 96094989 + ], + [ + 98408368, + 80741502 + ], + [ + 21448244, + 4748874 + ], + [ + 86598713, + 60496436 + ], + [ + 93103801, + 94053633 + ], + [ + 77791821, + 154135 + ], + [ + 42617338, + 29872473 + ], + [ + 76379501, + 58883248 + ], + [ + 56366332, + 24837656 + ], + [ + 89871728, + 53627310 + ], + [ + 1701805, + 78951817 + ], + [ + 24189160, + 71899923 + ], + [ + 81027785, + 29809562 + ], + [ + 29801940, + 21075926 + ], + [ + 3517363, + 75199298 + ], + [ + 89414326, + 5165300 + ], + [ + 31604890, + 11334931 + ], + [ + 21248475, + 93868887 + ], + [ + 59308047, + 69199136 + ], + [ + 25239131, + 23865848 + ], + [ + 33828617, + 91659516 + ], + [ + 64643745, + 96360670 + ], + [ + 14076109, + 25423424 + ], + [ + 83802110, + 23757777 + ], + [ + 59807533, + 48516598 + ], + [ + 5896835, + 228408 + ], + [ + 11278623, + 20470316 + ], + [ + 68222004, + 48108026 + ], + [ + 92121718, + 71038916 + ], + [ + 35989319, + 21615252 + ], + [ + 77231558, + 96274503 + ], + [ + 48892778, + 64649504 + ], + [ + 88114665, + 58417739 + ], + [ + 19840839, + 90349964 + ], + [ + 1713210, + 75939174 + ], + [ + 28218605, + 99766646 + ], + [ + 83019392, + 90642963 + ], + [ + 12810105, + 59014290 + ], + [ + 43311248, + 16916992 + ], + [ + 32057878, + 97821458 + ], + [ + 42307960, + 67182604 + ], + [ + 21983104, + 34703832 + ], + [ + 47748074, + 51169752 + ], + [ + 56079644, + 81363959 + ], + [ + 32321552, + 70181342 + ], + [ + 28594841, + 86857105 + ], + [ + 85157508, + 93229985 + ], + [ + 90664163, + 52847834 + ], + [ + 7815646, + 6024006 + ], + [ + 63336357, + 33908528 + ], + [ + 31813404, + 17602733 + ], + [ + 71185402, + 39909929 + ], + [ + 39511589, + 33979784 + ], + [ + 73029172, + 67865358 + ], + [ + 39662786, + 7615988 + ], + [ + 53207172, + 35440058 + ], + [ + 91469289, + 14771871 + ], + [ + 95893588, + 74820652 + ], + [ + 6346418, + 53907641 + ], + [ + 53579371, + 37986019 + ], + [ + 14562358, + 89473383 + ], + [ + 16755616, + 7386782 + ], + [ + 83522075, + 90043734 + ], + [ + 12096977, + 55960259 + ], + [ + 12277238, + 47431408 + ], + [ + 93236338, + 47221934 + ], + [ + 12197751, + 66033970 + ], + [ + 16343806, + 93158495 + ], + [ + 6956291, + 61563660 + ], + [ + 63385303, + 11555874 + ], + [ + 68293717, + 49694482 + ], + [ + 43478755, + 33100392 + ], + [ + 92683059, + 88183135 + ], + [ + 41684301, + 63419611 + ], + [ + 69979175, + 71740508 + ], + [ + 86273619, + 38521465 + ], + [ + 6782003, + 66979788 + ], + [ + 94501158, + 46776925 + ], + [ + 45134379, + 30229860 + ], + [ + 18633363, + 12948379 + ], + [ + 6312223, + 6749927 + ], + [ + 92273214, + 62519554 + ], + [ + 72049038, + 68629668 + ], + [ + 36763478, + 36924717 + ], + [ + 71525180, + 28473769 + ], + [ + 73500965, + 97545620 + ], + [ + 57821170, + 64979861 + ], + [ + 57815844, + 96058018 + ], + [ + 38423969, + 99347479 + ], + [ + 23803100, + 2225091 + ], + [ + 12580050, + 49472159 + ], + [ + 18330813, + 20826676 + ], + [ + 48157504, + 14565031 + ], + [ + 60164064, + 2559424 + ], + [ + 38725623, + 83717335 + ], + [ + 84360213, + 64093803 + ], + [ + 68505048, + 6534962 + ], + [ + 67534476, + 52481889 + ], + [ + 20804051, + 43833606 + ], + [ + 20571998, + 26062349 + ], + [ + 8872652, + 85950921 + ], + [ + 81491727, + 11357083 + ], + [ + 32293778, + 52492155 + ], + [ + 66936601, + 99204850 + ], + [ + 88363552, + 91896591 + ], + [ + 94135788, + 13970731 + ], + [ + 71320057, + 76615258 + ], + [ + 66921727, + 6987260 + ], + [ + 40747065, + 98509735 + ], + [ + 52589697, + 8473878 + ], + [ + 12686254, + 91756793 + ], + [ + 51825988, + 55567394 + ], + [ + 88432120, + 25430908 + ], + [ + 83791584, + 94357820 + ], + [ + 71119285, + 54258775 + ], + [ + 8880141, + 15195057 + ], + [ + 26801438, + 68860489 + ], + [ + 49961781, + 85986491 + ], + [ + 37877924, + 60052967 + ], + [ + 69005357, + 81239662 + ], + [ + 43869167, + 18503988 + ], + [ + 80167339, + 41754881 + ], + [ + 44788598, + 31733477 + ], + [ + 66470026, + 80829336 + ], + [ + 50569055, + 70701536 + ], + [ + 94921249, + 52159862 + ], + [ + 41861662, + 61158736 + ], + [ + 37413882, + 90318117 + ], + [ + 3696746, + 52738419 + ], + [ + 23594461, + 66687552 + ], + [ + 81544445, + 42005831 + ], + [ + 89384627, + 22923500 + ], + [ + 67218723, + 61111129 + ], + [ + 91422616, + 16211686 + ], + [ + 61234958, + 6830796 + ], + [ + 58046691, + 95093841 + ], + [ + 7887417, + 73868138 + ], + [ + 89622788, + 14251252 + ], + [ + 11652282, + 65009561 + ], + [ + 50464479, + 4964420 + ], + [ + 95605803, + 49101114 + ], + [ + 81429024, + 76572418 + ], + [ + 11767300, + 68428646 + ], + [ + 8216020, + 36427621 + ], + [ + 76629346, + 13884677 + ], + [ + 89122750, + 60222562 + ], + [ + 10007583, + 62860962 + ], + [ + 50178563, + 20600095 + ], + [ + 8389471, + 60727915 + ], + [ + 57689374, + 57551780 + ], + [ + 38264727, + 86435317 + ], + [ + 81010268, + 16912986 + ], + [ + 18207074, + 28809150 + ], + [ + 64647300, + 94008656 + ], + [ + 97854141, + 10305059 + ], + [ + 3586634, + 14763308 + ], + [ + 24560403, + 73025813 + ], + [ + 93284530, + 92534700 + ], + [ + 67252113, + 77370856 + ], + [ + 40988126, + 64420037 + ], + [ + 11561700, + 34299317 + ], + [ + 78759760, + 96923832 + ], + [ + 27130551, + 11118211 + ], + [ + 44074577, + 45921516 + ], + [ + 73016404, + 41291575 + ], + [ + 50494833, + 71544018 + ], + [ + 63826500, + 19046257 + ], + [ + 68559453, + 38203544 + ], + [ + 55534184, + 91911617 + ], + [ + 83853317, + 74622639 + ], + [ + 49185773, + 35264290 + ], + [ + 23635900, + 44556883 + ], + [ + 74713691, + 45614674 + ], + [ + 82062200, + 18328321 + ], + [ + 18901166, + 92934794 + ], + [ + 99853746, + 11390146 + ], + [ + 43762353, + 51611864 + ], + [ + 28039989, + 16772464 + ], + [ + 15071091, + 7300847 + ], + [ + 7326244, + 24098703 + ], + [ + 21968540, + 57519194 + ], + [ + 95922560, + 61976525 + ], + [ + 90224825, + 73307850 + ], + [ + 99376248, + 60219962 + ], + [ + 9721054, + 68665098 + ], + [ + 96267378, + 48465489 + ], + [ + 66399023, + 28058411 + ], + [ + 59518425, + 59419650 + ], + [ + 82879509, + 52651175 + ], + [ + 29534697, + 96759534 + ], + [ + 48795456, + 50578530 + ], + [ + 99265309, + 97398355 + ], + [ + 74010254, + 26707130 + ], + [ + 32948334, + 93473538 + ], + [ + 39462057, + 31306758 + ], + [ + 69580568, + 61136399 + ], + [ + 96495682, + 74574835 + ], + [ + 39659992, + 27724586 + ], + [ + 90654929, + 1545356 + ], + [ + 13148702, + 71580499 + ], + [ + 70948570, + 62991191 + ], + [ + 28999164, + 61416932 + ], + [ + 27878921, + 82199349 + ], + [ + 41042952, + 53385847 + ], + [ + 93286947, + 10972917 + ], + [ + 16786133, + 57103357 + ], + [ + 69783862, + 75240715 + ], + [ + 32082433, + 51216374 + ], + [ + 8462195, + 44442261 + ], + [ + 37637508, + 37201380 + ], + [ + 44444675, + 4246936 + ], + [ + 51126018, + 99218911 + ], + [ + 43912213, + 56572927 + ], + [ + 88250391, + 97137275 + ], + [ + 18802079, + 38933939 + ], + [ + 98786615, + 82411628 + ], + [ + 96062433, + 46022213 + ], + [ + 44830245, + 74698021 + ], + [ + 74224552, + 28490667 + ], + [ + 34017157, + 75385978 + ], + [ + 84012968, + 17277094 + ], + [ + 59919023, + 79277418 + ], + [ + 79018665, + 89269442 + ], + [ + 8240672, + 16949330 + ], + [ + 11702165, + 45120921 + ], + [ + 52287756, + 72976529 + ], + [ + 91631854, + 77669690 + ], + [ + 76926666, + 34247674 + ], + [ + 15372688, + 93495683 + ], + [ + 42049955, + 63425881 + ], + [ + 66729040, + 98993269 + ], + [ + 36610212, + 3896989 + ], + [ + 36436388, + 63807657 + ], + [ + 33246485, + 50252096 + ], + [ + 69950145, + 79499589 + ], + [ + 73316687, + 19943387 + ], + [ + 39791615, + 92881928 + ], + [ + 41251836, + 51468372 + ], + [ + 45228499, + 21387508 + ], + [ + 18248238, + 79727838 + ], + [ + 5314404, + 30659630 + ], + [ + 81456154, + 92282916 + ], + [ + 67236204, + 97340910 + ], + [ + 47834808, + 82844428 + ], + [ + 87825623, + 29572657 + ], + [ + 36178660, + 91064868 + ], + [ + 74510629, + 39871835 + ], + [ + 69145469, + 23285113 + ], + [ + 34380820, + 80007488 + ], + [ + 12410685, + 11208408 + ], + [ + 53180533, + 49924702 + ], + [ + 86240872, + 12106259 + ], + [ + 75130739, + 92522661 + ], + [ + 8388802, + 77149033 + ], + [ + 17011267, + 32809158 + ], + [ + 40434588, + 4727269 + ], + [ + 30975086, + 69327748 + ], + [ + 51641520, + 70574406 + ], + [ + 17591295, + 39256675 + ], + [ + 88925829, + 6206320 + ], + [ + 58223153, + 84524088 + ], + [ + 50647718, + 50567510 + ], + [ + 7640918, + 84917819 + ], + [ + 24248857, + 21586664 + ], + [ + 25265116, + 34110245 + ], + [ + 40357546, + 267267 + ], + [ + 6500347, + 58005811 + ], + [ + 81025832, + 57222358 + ], + [ + 58640270, + 22793340 + ], + [ + 9230964, + 87891153 + ], + [ + 19260727, + 18726532 + ], + [ + 9638683, + 15720204 + ], + [ + 34152955, + 60614097 + ], + [ + 29784957, + 11950778 + ], + [ + 26760124, + 23945753 + ], + [ + 58547480, + 70346821 + ], + [ + 59262557, + 83615122 + ], + [ + 45841437, + 75333441 + ], + [ + 32935377, + 44798957 + ], + [ + 41872250, + 39533696 + ], + [ + 50026975, + 50926242 + ], + [ + 32223211, + 17896143 + ], + [ + 37432068, + 35684701 + ], + [ + 46119886, + 97632663 + ], + [ + 75703681, + 56665456 + ], + [ + 91440215, + 20284834 + ], + [ + 89014981, + 4989470 + ], + [ + 39440874, + 48881616 + ], + [ + 51672641, + 21726766 + ], + [ + 48158170, + 7186910 + ], + [ + 82734376, + 7195382 + ], + [ + 63276029, + 51500863 + ], + [ + 50764294, + 30484932 + ], + [ + 54635180, + 91729733 + ], + [ + 87375721, + 79846395 + ], + [ + 73969037, + 46798623 + ], + [ + 14668233, + 20505524 + ], + [ + 43937101, + 2970121 + ], + [ + 92818982, + 64793942 + ], + [ + 98670329, + 98181999 + ], + [ + 4756105, + 74122455 + ], + [ + 23664279, + 68382278 + ], + [ + 38214334, + 39428431 + ], + [ + 26289481, + 31702324 + ], + [ + 82094878, + 59022957 + ], + [ + 52305130, + 66458640 + ], + [ + 80319924, + 45379807 + ], + [ + 59094149, + 4496852 + ], + [ + 40418651, + 19289114 + ], + [ + 80170100, + 88957442 + ], + [ + 37674885, + 30355972 + ], + [ + 76784433, + 3100839 + ], + [ + 18186084, + 10428813 + ], + [ + 8346616, + 84450548 + ], + [ + 39291425, + 27885560 + ], + [ + 86911892, + 17309443 + ], + [ + 90732051, + 8380633 + ], + [ + 52543517, + 51702531 + ], + [ + 91712372, + 82065041 + ], + [ + 19031733, + 89477829 + ], + [ + 64416329, + 64330184 + ], + [ + 57468868, + 8896697 + ], + [ + 18641957, + 12924379 + ], + [ + 72742894, + 13452299 + ], + [ + 10829630, + 60917078 + ], + [ + 51451313, + 32167575 + ], + [ + 3873837, + 87693950 + ], + [ + 43636176, + 96035338 + ], + [ + 28063008, + 74051597 + ], + [ + 68138894, + 23440993 + ], + [ + 34229886, + 20545587 + ], + [ + 37139562, + 47963810 + ], + [ + 60955791, + 80418008 + ], + [ + 66408192, + 23131694 + ], + [ + 68678414, + 12857933 + ], + [ + 99775135, + 74767477 + ], + [ + 39869756, + 5511845 + ], + [ + 7720890, + 46792945 + ], + [ + 96920037, + 92010744 + ], + [ + 19360161, + 17201047 + ], + [ + 39274247, + 73071348 + ], + [ + 2380896, + 20141841 + ], + [ + 35062446, + 85288272 + ], + [ + 25455744, + 1351541 + ], + [ + 9835847, + 37878058 + ], + [ + 3567760, + 19975564 + ], + [ + 41669641, + 45544974 + ], + [ + 25452580, + 4800395 + ], + [ + 36632390, + 83658686 + ], + [ + 99686748, + 77189676 + ], + [ + 3658011, + 15688325 + ], + [ + 38766278, + 38541391 + ], + [ + 33132489, + 81525533 + ], + [ + 90630164, + 61000930 + ], + [ + 94691157, + 56191 + ], + [ + 98272512, + 94386281 + ], + [ + 43593983, + 6881528 + ], + [ + 50526960, + 35700100 + ], + [ + 65598008, + 58352638 + ], + [ + 34636649, + 9713874 + ], + [ + 504195, + 22361088 + ], + [ + 63437561, + 16663421 + ], + [ + 36070322, + 28422763 + ], + [ + 33613080, + 96443326 + ], + [ + 21993237, + 19542157 + ], + [ + 80208699, + 61005877 + ], + [ + 69315270, + 16805976 + ], + [ + 44406993, + 97983860 + ], + [ + 25478603, + 70728036 + ], + [ + 85856602, + 71409504 + ], + [ + 22867095, + 37232826 + ], + [ + 5867557, + 12088780 + ], + [ + 78501691, + 3480558 + ], + [ + 71708791, + 82190176 + ], + [ + 8051001, + 22336949 + ], + [ + 59522864, + 40909457 + ], + [ + 49252010, + 10037899 + ], + [ + 92233839, + 84125757 + ], + [ + 8999814, + 95227719 + ], + [ + 29432715, + 28187384 + ], + [ + 46297514, + 36291074 + ], + [ + 79342155, + 81111768 + ], + [ + 16054389, + 4286007 + ], + [ + 28847556, + 57654397 + ], + [ + 12464730, + 13039908 + ], + [ + 18216432, + 99135837 + ], + [ + 57454516, + 94073243 + ], + [ + 26852125, + 11946578 + ], + [ + 51665819, + 198703 + ], + [ + 33213169, + 18828008 + ], + [ + 78555081, + 85317831 + ], + [ + 72771341, + 41808174 + ], + [ + 41736577, + 40765621 + ], + [ + 30088436, + 2906058 + ], + [ + 91331143, + 73054302 + ], + [ + 79656394, + 91910883 + ], + [ + 76253697, + 4647530 + ], + [ + 93129050, + 34131032 + ], + [ + 28693913, + 30408226 + ], + [ + 75112585, + 87933821 + ], + [ + 56423926, + 55936993 + ], + [ + 7722148, + 76200831 + ], + [ + 29820967, + 40998392 + ], + [ + 43761771, + 64456481 + ], + [ + 41821966, + 4970696 + ], + [ + 91511793, + 48169955 + ], + [ + 27544836, + 50842482 + ], + [ + 67563769, + 22399509 + ], + [ + 2410466, + 4700723 + ], + [ + 97427782, + 92163230 + ], + [ + 4206024, + 90127800 + ], + [ + 3943016, + 16996615 + ], + [ + 66677448, + 29347789 + ], + [ + 25846243, + 75054204 + ], + [ + 61085783, + 5214869 + ], + [ + 42799506, + 78301698 + ], + [ + 87338369, + 26369515 + ], + [ + 93844575, + 19400655 + ], + [ + 55412214, + 30099494 + ], + [ + 29320274, + 84711793 + ], + [ + 89854264, + 66894703 + ], + [ + 29095984, + 46318989 + ], + [ + 10467218, + 59671984 + ], + [ + 37104732, + 68723054 + ], + [ + 57388155, + 34785969 + ], + [ + 86975538, + 42522490 + ], + [ + 8504817, + 65114353 + ], + [ + 83716253, + 80633444 + ], + [ + 47854300, + 87619502 + ], + [ + 3980972, + 83803411 + ], + [ + 39817254, + 8382000 + ], + [ + 11837818, + 88615877 + ], + [ + 29574226, + 89209148 + ], + [ + 87957218, + 43942282 + ], + [ + 17435360, + 64688270 + ], + [ + 95721396, + 65054149 + ], + [ + 34214191, + 27805776 + ], + [ + 65910048, + 37374367 + ], + [ + 1757345, + 77341046 + ], + [ + 44070571, + 10832229 + ], + [ + 59866843, + 89038795 + ], + [ + 46278332, + 90729968 + ], + [ + 20124464, + 64898952 + ], + [ + 67210177, + 78429310 + ], + [ + 666949, + 48193740 + ], + [ + 68933549, + 83438881 + ], + [ + 16369456, + 82817844 + ], + [ + 55443361, + 47726697 + ], + [ + 90151934, + 88692201 + ], + [ + 30047444, + 86176106 + ], + [ + 36071702, + 62485956 + ], + [ + 40107671, + 74119652 + ], + [ + 63853213, + 56363989 + ], + [ + 15743444, + 86951630 + ], + [ + 5024360, + 59309781 + ], + [ + 92821683, + 70317293 + ], + [ + 99248183, + 30384556 + ], + [ + 35238616, + 39547912 + ], + [ + 1097175, + 7265747 + ], + [ + 9182244, + 41547147 + ], + [ + 90245671, + 54435997 + ], + [ + 66519148, + 54344016 + ], + [ + 5476356, + 36851950 + ], + [ + 47749522, + 42861494 + ], + [ + 8338178, + 14257637 + ], + [ + 59342843, + 76632616 + ], + [ + 27915226, + 17096532 + ], + [ + 71815913, + 65804436 + ], + [ + 23879847, + 51314472 + ], + [ + 18734058, + 36305125 + ], + [ + 29419287, + 31908932 + ], + [ + 3982087, + 48094004 + ], + [ + 79231699, + 26794744 + ], + [ + 26084686, + 33714737 + ], + [ + 54050331, + 85287659 + ], + [ + 93273041, + 65288953 + ], + [ + 20474563, + 8211588 + ], + [ + 68178721, + 3033524 + ], + [ + 43232331, + 29277310 + ], + [ + 40157663, + 18397085 + ], + [ + 34034225, + 68858673 + ], + [ + 37856266, + 81906670 + ], + [ + 21990225, + 46063529 + ], + [ + 89150084, + 2767263 + ], + [ + 47498126, + 94429876 + ], + [ + 31145170, + 20636519 + ], + [ + 74598982, + 30963887 + ], + [ + 21257236, + 24955398 + ], + [ + 23652199, + 75490344 + ], + [ + 37850040, + 31143201 + ], + [ + 29086837, + 42609671 + ], + [ + 5216529, + 15408103 + ], + [ + 11417090, + 98249895 + ], + [ + 98640809, + 44208938 + ], + [ + 71022117, + 46878780 + ], + [ + 3866952, + 41319797 + ], + [ + 97317820, + 26653982 + ], + [ + 97421419, + 97353817 + ], + [ + 4211517, + 9473756 + ], + [ + 73591871, + 61249139 + ], + [ + 17801472, + 79894285 + ], + [ + 10227611, + 504851 + ], + [ + 86105888, + 41067884 + ], + [ + 16328508, + 8723692 + ], + [ + 44077766, + 70841093 + ], + [ + 26546493, + 21059285 + ], + [ + 77106299, + 47763565 + ], + [ + 45850971, + 97354486 + ], + [ + 89958937, + 40960430 + ], + [ + 50744235, + 9742914 + ], + [ + 10055462, + 98415162 + ], + [ + 53026144, + 85642178 + ], + [ + 25407397, + 3614114 + ], + [ + 745189, + 5618154 + ], + [ + 26287171, + 15774000 + ], + [ + 25407922, + 92918794 + ], + [ + 89367692, + 12110733 + ], + [ + 93392812, + 83514662 + ], + [ + 44473008, + 63210141 + ], + [ + 72185704, + 18526524 + ], + [ + 43101672, + 19567794 + ], + [ + 273633, + 84744105 + ], + [ + 21800166, + 8823130 + ], + [ + 10940466, + 15476109 + ], + [ + 19246813, + 25369446 + ], + [ + 92422565, + 78164658 + ], + [ + 23676842, + 9856740 + ], + [ + 58875728, + 76935882 + ], + [ + 46668487, + 59025674 + ], + [ + 92895595, + 72473759 + ], + [ + 53063783, + 62408301 + ], + [ + 40198340, + 89173141 + ], + [ + 44016667, + 25678918 + ], + [ + 33770050, + 75194313 + ], + [ + 27371009, + 1416925 + ], + [ + 29433005, + 67803693 + ], + [ + 11727175, + 44511166 + ], + [ + 40084470, + 35838853 + ], + [ + 7031513, + 99162228 + ], + [ + 93261605, + 28117768 + ], + [ + 99613527, + 99450278 + ], + [ + 28881382, + 91403118 + ], + [ + 55657191, + 19049654 + ], + [ + 53509519, + 40826555 + ], + [ + 27163691, + 88081699 + ], + [ + 28127558, + 15334224 + ], + [ + 17873319, + 62866058 + ], + [ + 25693074, + 91276297 + ], + [ + 36527138, + 92590336 + ], + [ + 50711678, + 19414483 + ], + [ + 58599740, + 42503444 + ], + [ + 16817901, + 17783367 + ], + [ + 6792448, + 36606779 + ], + [ + 26653625, + 24677383 + ], + [ + 16141875, + 48244435 + ], + [ + 14882076, + 80154957 + ], + [ + 27999919, + 77306454 + ], + [ + 19261439, + 16799704 + ], + [ + 56716411, + 35043068 + ], + [ + 15377736, + 68561047 + ], + [ + 23887664, + 36994556 + ], + [ + 58762477, + 63767198 + ], + [ + 54757376, + 99980761 + ], + [ + 39364735, + 8221941 + ], + [ + 12762942, + 15339825 + ], + [ + 33681313, + 37191128 + ], + [ + 12182673, + 95148966 + ], + [ + 17984817, + 6560286 + ], + [ + 89086981, + 654520 + ], + [ + 88662257, + 6571806 + ], + [ + 21592823, + 53312101 + ], + [ + 40459374, + 92999680 + ], + [ + 35774516, + 43902262 + ], + [ + 66344151, + 11772184 + ], + [ + 69130696, + 68521896 + ], + [ + 71990758, + 62078298 + ], + [ + 35070611, + 67369189 + ], + [ + 75450329, + 57500233 + ], + [ + 77380484, + 48769283 + ], + [ + 64030214, + 52636399 + ], + [ + 2162228, + 4440349 + ], + [ + 88510719, + 33903652 + ], + [ + 14878827, + 21433794 + ], + [ + 61419668, + 91439304 + ], + [ + 91943965, + 37406768 + ], + [ + 84971027, + 27650279 + ], + [ + 69528503, + 62789623 + ], + [ + 72563668, + 49526391 + ], + [ + 45766789, + 73146102 + ], + [ + 26688289, + 53279250 + ], + [ + 92909989, + 73130337 + ], + [ + 2831995, + 80980031 + ], + [ + 28959601, + 74065896 + ], + [ + 1628302, + 89548702 + ], + [ + 884151, + 77868326 + ], + [ + 6048534, + 16582645 + ], + [ + 55739606, + 91488969 + ], + [ + 13112613, + 38271782 + ], + [ + 13815763, + 21588357 + ], + [ + 13310145, + 88010531 + ], + [ + 22408183, + 77613763 + ], + [ + 53621835, + 33726463 + ], + [ + 83708924, + 8010701 + ], + [ + 70745602, + 7407089 + ], + [ + 27998737, + 55068653 + ], + [ + 7277530, + 3580100 + ], + [ + 82051044, + 40931125 + ], + [ + 44618905, + 92877680 + ], + [ + 58926613, + 3088926 + ], + [ + 19729848, + 53424629 + ], + [ + 41217708, + 16211664 + ], + [ + 96564128, + 22451220 + ], + [ + 74123765, + 64613123 + ], + [ + 88396543, + 30589833 + ], + [ + 36313387, + 41811755 + ], + [ + 97463017, + 42534194 + ], + [ + 37724595, + 77266269 + ], + [ + 88669305, + 46127924 + ], + [ + 15324689, + 17365544 + ], + [ + 30948442, + 1434660 + ], + [ + 86863521, + 20001915 + ], + [ + 86975170, + 89531935 + ], + [ + 14935654, + 82482775 + ], + [ + 33976965, + 44970034 + ], + [ + 40215416, + 30282674 + ], + [ + 98361811, + 3092382 + ], + [ + 82468217, + 38916964 + ], + [ + 13382818, + 23424829 + ], + [ + 68228009, + 24027786 + ], + [ + 72256928, + 11876569 + ], + [ + 18610184, + 63720985 + ], + [ + 88769676, + 6119674 + ], + [ + 5013538, + 95693015 + ], + [ + 12908544, + 36672782 + ], + [ + 76132249, + 66425619 + ], + [ + 91242439, + 84334862 + ], + [ + 15771194, + 48840861 + ], + [ + 30688004, + 40225871 + ], + [ + 48459009, + 77057072 + ], + [ + 58751927, + 29176480 + ], + [ + 56538063, + 64310559 + ], + [ + 15128784, + 20851173 + ], + [ + 20203355, + 57762704 + ], + [ + 13922043, + 68447813 + ], + [ + 80778946, + 54498967 + ], + [ + 22437918, + 67898548 + ], + [ + 88990947, + 95546918 + ], + [ + 4715122, + 26733336 + ], + [ + 27803111, + 4818550 + ], + [ + 21093303, + 22118904 + ], + [ + 90794829, + 36267388 + ], + [ + 65928102, + 44789941 + ], + [ + 55150983, + 58109520 + ], + [ + 74541255, + 16300291 + ], + [ + 85126800, + 93509597 + ], + [ + 21969350, + 33076805 + ], + [ + 44021641, + 13980472 + ], + [ + 15003188, + 15811624 + ], + [ + 28608281, + 33531693 + ], + [ + 6411510, + 95842187 + ], + [ + 99562663, + 55595568 + ], + [ + 76325694, + 75390809 + ], + [ + 61026865, + 14633481 + ], + [ + 97607097, + 375945 + ], + [ + 27485918, + 39769219 + ], + [ + 14906909, + 98492551 + ], + [ + 92964229, + 10775521 + ], + [ + 60652632, + 3043180 + ], + [ + 48155955, + 72838636 + ], + [ + 87043596, + 10097509 + ], + [ + 20754184, + 6684749 + ], + [ + 34536173, + 11793894 + ], + [ + 11007466, + 53809649 + ], + [ + 13155577, + 47804256 + ], + [ + 83175030, + 8581142 + ], + [ + 90620439, + 524218 + ], + [ + 87035694, + 35880845 + ], + [ + 50776514, + 24369944 + ], + [ + 11353545, + 72422153 + ], + [ + 34140016, + 50555603 + ], + [ + 30294505, + 74650779 + ], + [ + 84068818, + 19122466 + ], + [ + 65294955, + 40855995 + ], + [ + 26062445, + 39145457 + ], + [ + 14376940, + 52773184 + ], + [ + 76492016, + 30920183 + ], + [ + 21859701, + 45283937 + ], + [ + 83502153, + 70612917 + ], + [ + 2246721, + 21760780 + ], + [ + 48846585, + 87709620 + ], + [ + 32309658, + 19241733 + ], + [ + 73620184, + 23983554 + ], + [ + 40171957, + 10397289 + ], + [ + 35634169, + 33421840 + ], + [ + 45249024, + 92365654 + ], + [ + 88931373, + 22103661 + ], + [ + 76082209, + 58082322 + ], + [ + 10172984, + 27456290 + ], + [ + 69921426, + 2786813 + ], + [ + 29179986, + 14898788 + ], + [ + 9087225, + 75986598 + ], + [ + 56114365, + 35230615 + ], + [ + 95628626, + 45293176 + ], + [ + 6145001, + 96680790 + ], + [ + 51604976, + 29961040 + ], + [ + 48390423, + 61831655 + ], + [ + 27353792, + 92169688 + ], + [ + 41348496, + 43571113 + ], + [ + 13696712, + 29985151 + ], + [ + 10853414, + 63721620 + ], + [ + 35750524, + 25803723 + ], + [ + 9940137, + 9538472 + ], + [ + 41100707, + 74659863 + ], + [ + 14399116, + 97906608 + ], + [ + 96645490, + 71846116 + ], + [ + 55444133, + 46720918 + ], + [ + 50841165, + 46991150 + ], + [ + 93380028, + 30941769 + ], + [ + 26390510, + 20038272 + ], + [ + 48384821, + 72294863 + ], + [ + 43897490, + 61809983 + ], + [ + 99620796, + 38392312 + ], + [ + 76215290, + 90116852 + ], + [ + 86193861, + 52536142 + ], + [ + 2746986, + 69712276 + ], + [ + 53681362, + 91096682 + ], + [ + 11293106, + 43018041 + ], + [ + 21228527, + 22321613 + ], + [ + 39665425, + 77303788 + ], + [ + 74033688, + 38872256 + ], + [ + 89977745, + 28020716 + ], + [ + 90814140, + 57740572 + ], + [ + 52698844, + 49744937 + ], + [ + 45052477, + 54660974 + ], + [ + 46952891, + 27708140 + ], + [ + 67077295, + 45670855 + ], + [ + 82561770, + 29866022 + ], + [ + 48714711, + 33778171 + ], + [ + 7055663, + 68641691 + ], + [ + 4734852, + 30603644 + ], + [ + 38855697, + 15224744 + ], + [ + 80141525, + 32513938 + ], + [ + 74323486, + 88181753 + ], + [ + 92963940, + 98278550 + ], + [ + 86311921, + 73245010 + ], + [ + 46404214, + 59520077 + ], + [ + 84158217, + 41754657 + ], + [ + 38502678, + 84903404 + ], + [ + 13801095, + 42600532 + ], + [ + 95285472, + 11382055 + ], + [ + 95475915, + 79993078 + ], + [ + 80395855, + 45644474 + ], + [ + 86356803, + 19697060 + ], + [ + 77568691, + 8352850 + ], + [ + 31413300, + 42989021 + ], + [ + 72359936, + 5729614 + ], + [ + 4539808, + 85179797 + ], + [ + 5579967, + 69248191 + ], + [ + 73485070, + 37289744 + ], + [ + 5782875, + 89860366 + ], + [ + 73120198, + 64931844 + ], + [ + 60420635, + 68372491 + ], + [ + 79106770, + 48702053 + ], + [ + 74209884, + 36089139 + ], + [ + 81668321, + 69477849 + ], + [ + 39155578, + 4566516 + ], + [ + 19012812, + 36065108 + ], + [ + 90382468, + 74895532 + ], + [ + 51089067, + 6002268 + ], + [ + 53054834, + 19888628 + ], + [ + 83454674, + 13365876 + ], + [ + 85197804, + 28842472 + ], + [ + 52698152, + 54916550 + ], + [ + 50536372, + 89350274 + ], + [ + 22319126, + 3017673 + ], + [ + 69550795, + 29023092 + ], + [ + 57592233, + 47136007 + ], + [ + 99516450, + 63812350 + ], + [ + 73842580, + 26201153 + ], + [ + 46340379, + 6299058 + ], + [ + 46254977, + 98340370 + ], + [ + 71092738, + 95465761 + ], + [ + 79741017, + 78650986 + ], + [ + 19153358, + 85448706 + ], + [ + 1252110, + 86267247 + ], + [ + 32303942, + 10285740 + ], + [ + 41571621, + 96295007 + ], + [ + 87777523, + 14181437 + ], + [ + 18171418, + 98403535 + ], + [ + 26822418, + 31847701 + ], + [ + 87846522, + 87222580 + ], + [ + 71896737, + 75988582 + ], + [ + 4590800, + 20801440 + ], + [ + 81234689, + 72919846 + ], + [ + 79499373, + 60160536 + ], + [ + 79150016, + 75040699 + ], + [ + 11260116, + 38331630 + ], + [ + 61924045, + 89233447 + ], + [ + 61925439, + 69801573 + ], + [ + 46164179, + 43783918 + ], + [ + 16575126, + 54830984 + ], + [ + 73923043, + 81977605 + ], + [ + 71567356, + 85853649 + ], + [ + 28625388, + 12610326 + ], + [ + 65585838, + 58356823 + ], + [ + 35115179, + 20071066 + ], + [ + 4850689, + 38442127 + ], + [ + 78359208, + 13764927 + ], + [ + 9071171, + 52330274 + ], + [ + 10666440, + 91910850 + ], + [ + 11437969, + 47233046 + ], + [ + 58321618, + 97198752 + ], + [ + 35349676, + 79628067 + ], + [ + 87893984, + 34277663 + ], + [ + 12181508, + 82549431 + ], + [ + 31094087, + 11767346 + ], + [ + 31958283, + 80334555 + ], + [ + 91833528, + 41861077 + ], + [ + 79810635, + 35620165 + ], + [ + 40313233, + 57374040 + ], + [ + 49821636, + 71385229 + ], + [ + 56978788, + 37395061 + ], + [ + 33378484, + 63075327 + ], + [ + 36701879, + 38229212 + ], + [ + 95205181, + 74121566 + ], + [ + 21770243, + 21945140 + ], + [ + 27254096, + 81699292 + ], + [ + 37234975, + 38169597 + ], + [ + 32851557, + 33701968 + ], + [ + 35338258, + 22389232 + ], + [ + 28394145, + 66880584 + ], + [ + 59696148, + 85985970 + ], + [ + 97566575, + 45083335 + ], + [ + 52631543, + 84710981 + ], + [ + 74446633, + 82941387 + ], + [ + 24724090, + 75351329 + ], + [ + 86155926, + 23267344 + ], + [ + 10131002, + 50124340 + ], + [ + 43960334, + 38182557 + ], + [ + 38100638, + 11492078 + ], + [ + 2750196, + 64378374 + ], + [ + 54152013, + 28183130 + ], + [ + 58933670, + 6375592 + ], + [ + 73796545, + 46849325 + ], + [ + 47934941, + 3945593 + ], + [ + 12618382, + 74195016 + ], + [ + 83238176, + 55805172 + ], + [ + 61760814, + 62863232 + ], + [ + 87461939, + 68174828 + ], + [ + 33742062, + 37711234 + ], + [ + 41352941, + 27209792 + ], + [ + 21376955, + 2021486 + ], + [ + 50374761, + 40529055 + ], + [ + 24485561, + 65137355 + ], + [ + 15829658, + 6945734 + ], + [ + 11388127, + 68115332 + ], + [ + 4986803, + 27534120 + ], + [ + 89623488, + 54774422 + ], + [ + 4995512, + 15245942 + ], + [ + 74601495, + 5940178 + ], + [ + 97590696, + 38451056 + ], + [ + 18874245, + 85931369 + ], + [ + 39958078, + 83095371 + ], + [ + 32223192, + 25507651 + ], + [ + 2508139, + 68448024 + ], + [ + 3401603, + 46505786 + ], + [ + 59247896, + 26857869 + ], + [ + 13970869, + 18357949 + ], + [ + 48639417, + 51972727 + ], + [ + 36154201, + 82523054 + ], + [ + 47320117, + 62929213 + ], + [ + 21044444, + 92417676 + ], + [ + 29006448, + 1206674 + ], + [ + 20880919, + 71014965 + ], + [ + 39303446, + 67053727 + ], + [ + 45316276, + 22207389 + ], + [ + 54883587, + 5692539 + ], + [ + 75873064, + 94615490 + ], + [ + 80804189, + 1623541 + ], + [ + 11075235, + 57184730 + ], + [ + 76831791, + 8534766 + ], + [ + 81285654, + 50962291 + ], + [ + 33585226, + 96129242 + ], + [ + 10544210, + 2444752 + ], + [ + 430228, + 77397001 + ], + [ + 20513234, + 18482246 + ], + [ + 28471312, + 73208189 + ], + [ + 96776998, + 18002832 + ], + [ + 7220817, + 71681456 + ], + [ + 80627356, + 9799349 + ], + [ + 17300168, + 61685199 + ], + [ + 1618342, + 16863992 + ], + [ + 31304050, + 10668588 + ], + [ + 11118699, + 20061116 + ], + [ + 59220608, + 2530029 + ], + [ + 64042765, + 98779336 + ], + [ + 51085949, + 66935593 + ], + [ + 47727674, + 53446013 + ], + [ + 16125815, + 76774313 + ], + [ + 5215958, + 62492989 + ], + [ + 74403202, + 55931370 + ], + [ + 74914648, + 99747646 + ], + [ + 1239867, + 88504971 + ], + [ + 11315627, + 45207135 + ], + [ + 15430937, + 15080892 + ], + [ + 81471352, + 7308702 + ], + [ + 3902826, + 43311475 + ], + [ + 57278705, + 17445041 + ], + [ + 67853441, + 4872257 + ], + [ + 17055418, + 33148806 + ], + [ + 20302262, + 88920359 + ], + [ + 70883118, + 22038141 + ], + [ + 70465653, + 38148425 + ], + [ + 71690020, + 20498541 + ], + [ + 26243962, + 45693388 + ], + [ + 21991300, + 77177521 + ], + [ + 82756774, + 29738303 + ], + [ + 89336421, + 36691491 + ], + [ + 97434525, + 96894697 + ], + [ + 22001317, + 89380607 + ], + [ + 82053432, + 44597779 + ], + [ + 75425721, + 13894947 + ], + [ + 1064378, + 32519332 + ], + [ + 10292131, + 7082511 + ], + [ + 5701966, + 34077313 + ], + [ + 84770388, + 88136567 + ], + [ + 35483480, + 17130114 + ], + [ + 79215042, + 67766742 + ], + [ + 50524297, + 475365 + ], + [ + 39278402, + 48905828 + ], + [ + 25723122, + 19967381 + ], + [ + 53900061, + 9738930 + ], + [ + 61516942, + 87100258 + ], + [ + 42910250, + 39968005 + ], + [ + 81195967, + 84515023 + ], + [ + 66163451, + 24715934 + ], + [ + 39413800, + 6173690 + ], + [ + 71803773, + 4204315 + ], + [ + 66999549, + 12032151 + ], + [ + 89846495, + 77419219 + ], + [ + 48981903, + 16396915 + ], + [ + 91482842, + 34120941 + ], + [ + 80488374, + 52899758 + ], + [ + 71396166, + 565306 + ], + [ + 59048139, + 27477115 + ], + [ + 63983423, + 25287924 + ], + [ + 74949096, + 69314675 + ], + [ + 71649266, + 59740682 + ], + [ + 43653034, + 45569210 + ], + [ + 13517966, + 59325625 + ], + [ + 24345162, + 6310292 + ], + [ + 61580591, + 23255732 + ], + [ + 66993537, + 29404379 + ], + [ + 63392201, + 82375025 + ], + [ + 99303209, + 40175042 + ], + [ + 40187401, + 23790346 + ], + [ + 26602532, + 41206960 + ], + [ + 19363381, + 73433896 + ], + [ + 95341962, + 90054401 + ], + [ + 63370717, + 55183872 + ], + [ + 37758591, + 92045111 + ], + [ + 20523531, + 96065823 + ], + [ + 8960061, + 56117240 + ], + [ + 58457769, + 54292728 + ], + [ + 67256140, + 93358242 + ], + [ + 59905377, + 6623237 + ], + [ + 18314212, + 46923036 + ], + [ + 94209608, + 39403825 + ], + [ + 86676083, + 12488816 + ], + [ + 47485544, + 96324607 + ], + [ + 99907769, + 15810923 + ], + [ + 23262776, + 8561951 + ], + [ + 67570888, + 55823197 + ], + [ + 22108894, + 88840051 + ], + [ + 27272965, + 47829010 + ], + [ + 25847800, + 66445764 + ], + [ + 91056392, + 97741543 + ], + [ + 42380256, + 41027104 + ], + [ + 22306717, + 2739908 + ], + [ + 17946198, + 30820703 + ], + [ + 35587459, + 40427235 + ], + [ + 49748707, + 70522047 + ], + [ + 28989656, + 21880089 + ], + [ + 27149562, + 88713779 + ], + [ + 85268080, + 40611289 + ], + [ + 25562860, + 8609386 + ], + [ + 98509612, + 86873035 + ], + [ + 85952102, + 38796318 + ], + [ + 15234132, + 68869940 + ], + [ + 10376825, + 78915059 + ], + [ + 24899595, + 18143114 + ], + [ + 19296379, + 28593963 + ], + [ + 42671281, + 31178591 + ], + [ + 64579064, + 60795683 + ], + [ + 63845046, + 39888317 + ], + [ + 11734615, + 36204309 + ], + [ + 7103905, + 58800979 + ], + [ + 36996690, + 55808502 + ], + [ + 16414275, + 89105612 + ], + [ + 93565372, + 94159106 + ], + [ + 3939460, + 9779798 + ], + [ + 22812882, + 24923082 + ], + [ + 89548818, + 95992162 + ], + [ + 18459271, + 22332229 + ], + [ + 55332043, + 66617130 + ], + [ + 31841708, + 32490628 + ], + [ + 38792468, + 75438313 + ], + [ + 72107130, + 66899851 + ], + [ + 90323647, + 4544910 + ], + [ + 17084529, + 97516880 + ], + [ + 33733857, + 22709100 + ], + [ + 19081341, + 58821795 + ], + [ + 98483342, + 51566096 + ], + [ + 11405674, + 10025489 + ], + [ + 46985970, + 60468115 + ], + [ + 24420718, + 91732751 + ], + [ + 73333201, + 82225847 + ], + [ + 24075087, + 55216581 + ], + [ + 1432001, + 78873703 + ], + [ + 79560299, + 38568970 + ], + [ + 41657239, + 75518004 + ], + [ + 68768497, + 34300875 + ], + [ + 62782044, + 33829596 + ], + [ + 38015017, + 50549033 + ], + [ + 21970579, + 68743511 + ], + [ + 39116433, + 29418363 + ], + [ + 22094497, + 83869534 + ], + [ + 31008132, + 95119585 + ], + [ + 91222328, + 3480661 + ], + [ + 24317325, + 59026349 + ], + [ + 97155462, + 13600972 + ], + [ + 15503859, + 32184056 + ], + [ + 98430982, + 31739265 + ], + [ + 33670095, + 23070787 + ], + [ + 78437146, + 94982091 + ], + [ + 41018944, + 27171646 + ], + [ + 52901831, + 12105791 + ], + [ + 29914072, + 45999492 + ], + [ + 16136544, + 16142031 + ], + [ + 13450785, + 15742951 + ], + [ + 67040385, + 60271551 + ], + [ + 50669367, + 3252827 + ], + [ + 69533672, + 63087334 + ], + [ + 83626990, + 54794357 + ], + [ + 77565936, + 33851693 + ], + [ + 39975919, + 38951544 + ], + [ + 20105499, + 38577799 + ], + [ + 9530178, + 47606147 + ], + [ + 21085249, + 32815525 + ], + [ + 23965044, + 89624248 + ], + [ + 84473814, + 43860168 + ], + [ + 76013127, + 60481050 + ], + [ + 66776812, + 94851149 + ], + [ + 33403758, + 64284360 + ], + [ + 41313952, + 21371641 + ], + [ + 76387173, + 87889704 + ], + [ + 47106311, + 36093562 + ], + [ + 3293841, + 76017922 + ], + [ + 31616212, + 14786596 + ], + [ + 78938271, + 44432280 + ], + [ + 67109005, + 9391665 + ], + [ + 89516967, + 89282597 + ], + [ + 75156289, + 87428712 + ], + [ + 96737223, + 87512845 + ], + [ + 99912399, + 50753351 + ], + [ + 68005141, + 70766076 + ], + [ + 27150896, + 86040368 + ], + [ + 70086961, + 9068224 + ], + [ + 81331868, + 53266597 + ], + [ + 78094655, + 74558960 + ], + [ + 87329171, + 82166519 + ], + [ + 56309652, + 29619745 + ], + [ + 91320003, + 10287513 + ], + [ + 52893006, + 59562664 + ], + [ + 89148048, + 91402228 + ], + [ + 48647377, + 28238457 + ], + [ + 27475855, + 96206375 + ], + [ + 33787057, + 56313358 + ], + [ + 44530630, + 2087011 + ], + [ + 71159462, + 79937126 + ], + [ + 6987879, + 9903464 + ], + [ + 35900333, + 25817270 + ], + [ + 43295031, + 61201710 + ], + [ + 44110303, + 64400466 + ], + [ + 1538383, + 11532952 + ], + [ + 43325626, + 22413074 + ], + [ + 65487872, + 26778383 + ], + [ + 93266772, + 7006975 + ], + [ + 79729330, + 1419042 + ], + [ + 62078017, + 12138315 + ], + [ + 20213769, + 89545345 + ], + [ + 51201491, + 56496158 + ], + [ + 55901830, + 77143691 + ], + [ + 701202, + 95698937 + ], + [ + 31767206, + 5403724 + ], + [ + 86976229, + 43438902 + ], + [ + 47442090, + 55534522 + ], + [ + 61220703, + 84153790 + ], + [ + 63393767, + 60310132 + ], + [ + 37523873, + 57118748 + ], + [ + 3343464, + 31198855 + ], + [ + 73341709, + 86723463 + ], + [ + 92800763, + 87958699 + ], + [ + 40650463, + 12884397 + ], + [ + 30113215, + 49611589 + ], + [ + 81476357, + 68708636 + ], + [ + 27432225, + 63757392 + ], + [ + 79162138, + 23261853 + ], + [ + 23965730, + 87202500 + ], + [ + 32738713, + 91452823 + ], + [ + 9442359, + 33157439 + ], + [ + 60824805, + 5161884 + ], + [ + 77156849, + 16743314 + ], + [ + 13748440, + 95884001 + ], + [ + 71505697, + 8417199 + ], + [ + 17047477, + 43428501 + ], + [ + 56037880, + 4146687 + ], + [ + 17074607, + 29842862 + ], + [ + 55016572, + 98333355 + ], + [ + 89094229, + 23895438 + ], + [ + 40849615, + 21023320 + ], + [ + 27384800, + 69057853 + ], + [ + 34942116, + 31953842 + ], + [ + 43635228, + 61662086 + ], + [ + 58978044, + 19214874 + ], + [ + 59637709, + 63946292 + ], + [ + 46925439, + 87867372 + ], + [ + 41672756, + 8454099 + ], + [ + 69891553, + 68176231 + ], + [ + 40784791, + 85675793 + ], + [ + 72387172, + 93211778 + ], + [ + 65201294, + 10176238 + ], + [ + 4777681, + 64713389 + ], + [ + 30779947, + 18876358 + ], + [ + 50095296, + 61450098 + ], + [ + 51300092, + 39016367 + ], + [ + 34613676, + 8576403 + ], + [ + 66414160, + 24386477 + ], + [ + 84329544, + 73230935 + ], + [ + 11909523, + 29899250 + ], + [ + 47262306, + 45277922 + ], + [ + 48007580, + 93313546 + ], + [ + 56653904, + 5667779 + ], + [ + 45044012, + 38242747 + ], + [ + 28663991, + 72678913 + ], + [ + 4298276, + 96770145 + ], + [ + 6406529, + 50117604 + ], + [ + 57960386, + 26037870 + ], + [ + 78343011, + 20330328 + ], + [ + 18603648, + 8769799 + ], + [ + 98591195, + 40147291 + ], + [ + 79857797, + 79614305 + ], + [ + 48646654, + 99564586 + ], + [ + 60577779, + 6581272 + ], + [ + 13578716, + 22870185 + ], + [ + 2004252, + 2230709 + ], + [ + 42139273, + 36503696 + ], + [ + 89613392, + 11139863 + ], + [ + 1861113, + 52151157 + ], + [ + 2764189, + 44627964 + ], + [ + 18241070, + 1026441 + ], + [ + 16726631, + 38097429 + ], + [ + 22611051, + 64270272 + ], + [ + 84969432, + 85829114 + ], + [ + 16867849, + 10933307 + ], + [ + 11906831, + 82613726 + ], + [ + 34676779, + 67939472 + ], + [ + 64063327, + 59487190 + ], + [ + 19645626, + 88722299 + ], + [ + 50839815, + 53241427 + ], + [ + 97152241, + 27540360 + ], + [ + 95903942, + 55497421 + ], + [ + 21443119, + 7374689 + ], + [ + 29375005, + 51977444 + ], + [ + 7896595, + 79749671 + ], + [ + 72610539, + 68251617 + ], + [ + 54220980, + 32725507 + ], + [ + 12314496, + 20243224 + ], + [ + 15229544, + 16392273 + ], + [ + 39641265, + 24720944 + ], + [ + 10471909, + 15683818 + ], + [ + 67529029, + 19299484 + ], + [ + 93670600, + 41292502 + ], + [ + 53347497, + 17762288 + ], + [ + 2712785, + 49922620 + ], + [ + 87600814, + 22852876 + ], + [ + 86625982, + 73630538 + ], + [ + 83679936, + 46177962 + ], + [ + 14761786, + 87565675 + ], + [ + 76297777, + 15778394 + ], + [ + 56369356, + 31207691 + ], + [ + 77151355, + 94701245 + ], + [ + 66824020, + 68198988 + ], + [ + 62722052, + 22800387 + ], + [ + 74648129, + 43738369 + ], + [ + 13675510, + 95204415 + ], + [ + 90516458, + 46731096 + ], + [ + 22013800, + 20810338 + ], + [ + 44963100, + 28314166 + ], + [ + 66966474, + 29800532 + ], + [ + 96802343, + 24717285 + ], + [ + 91798067, + 39824950 + ], + [ + 96208491, + 53800788 + ], + [ + 17595781, + 79403387 + ], + [ + 49086237, + 23955030 + ], + [ + 91115322, + 3679540 + ], + [ + 90464337, + 78900852 + ], + [ + 30532946, + 24653395 + ], + [ + 13135872, + 94250187 + ], + [ + 25491200, + 75972012 + ], + [ + 81847667, + 14587107 + ], + [ + 98813142, + 86961799 + ], + [ + 36171151, + 18128644 + ], + [ + 44954338, + 1795770 + ], + [ + 49781058, + 32912870 + ], + [ + 15730632, + 65395658 + ], + [ + 85492543, + 30978701 + ], + [ + 95633769, + 42758310 + ], + [ + 82611106, + 67710566 + ], + [ + 16612118, + 55828248 + ], + [ + 15211974, + 14663300 + ], + [ + 18492390, + 69707318 + ], + [ + 43977908, + 96558003 + ], + [ + 60420740, + 87853335 + ], + [ + 27072574, + 97888907 + ], + [ + 11444391, + 42177257 + ], + [ + 47090112, + 11733585 + ], + [ + 24803115, + 48274403 + ], + [ + 5692933, + 45662439 + ], + [ + 45859856, + 10377197 + ], + [ + 29640260, + 90108664 + ], + [ + 31905538, + 20666180 + ], + [ + 9168773, + 89836688 + ], + [ + 75009198, + 76262652 + ], + [ + 44062177, + 68971597 + ], + [ + 98917907, + 89201384 + ], + [ + 80438296, + 62659417 + ], + [ + 53516636, + 13623274 + ], + [ + 21785501, + 83181709 + ], + [ + 57973994, + 12826713 + ], + [ + 10592747, + 38906544 + ], + [ + 78024553, + 80824440 + ], + [ + 88903550, + 17837696 + ], + [ + 1835542, + 51684682 + ], + [ + 59554425, + 68791420 + ], + [ + 97684986, + 29139506 + ], + [ + 62421818, + 60741795 + ], + [ + 75565930, + 94578226 + ], + [ + 31670401, + 63247958 + ], + [ + 26155187, + 42595169 + ], + [ + 39479490, + 5614121 + ], + [ + 5414565, + 51956818 + ], + [ + 30336672, + 44909863 + ], + [ + 47024313, + 59364968 + ], + [ + 61850545, + 55985349 + ], + [ + 84449183, + 44125706 + ], + [ + 95940085, + 53758590 + ], + [ + 86518533, + 80809193 + ], + [ + 7250666, + 81186336 + ], + [ + 19494728, + 99539837 + ], + [ + 6708026, + 80609917 + ], + [ + 4926977, + 52272918 + ], + [ + 38483098, + 83358512 + ], + [ + 79725266, + 6184985 + ], + [ + 97381584, + 66742041 + ], + [ + 60564157, + 39820681 + ], + [ + 31894743, + 10365723 + ], + [ + 76019265, + 79911918 + ], + [ + 38121864, + 25726331 + ], + [ + 34227574, + 24670203 + ], + [ + 51725091, + 75750127 + ], + [ + 90862291, + 43638569 + ], + [ + 71676577, + 14056896 + ], + [ + 37912264, + 7242413 + ], + [ + 24531686, + 27899641 + ], + [ + 84804369, + 41968536 + ], + [ + 67552766, + 55122016 + ], + [ + 36300118, + 79930063 + ], + [ + 85834269, + 36725178 + ], + [ + 59097359, + 47544499 + ], + [ + 61205602, + 25916907 + ], + [ + 59087559, + 15154149 + ], + [ + 29800275, + 26576493 + ], + [ + 99530003, + 33264244 + ], + [ + 26344347, + 22423679 + ], + [ + 4228076, + 24678965 + ], + [ + 76647114, + 13332686 + ], + [ + 86156922, + 46454966 + ], + [ + 51704372, + 22885872 + ], + [ + 72539134, + 50452380 + ], + [ + 99553552, + 47598872 + ], + [ + 61312470, + 6325213 + ], + [ + 39310392, + 55709602 + ], + [ + 46434078, + 9170507 + ], + [ + 41032200, + 70811693 + ], + [ + 39596332, + 84504159 + ], + [ + 75326073, + 20529420 + ], + [ + 11776372, + 80685959 + ], + [ + 80359120, + 22847642 + ], + [ + 26391729, + 72367715 + ], + [ + 46365505, + 14040095 + ], + [ + 58683974, + 33951512 + ], + [ + 65402999, + 91518573 + ], + [ + 19779517, + 19756490 + ], + [ + 79533365, + 30433037 + ], + [ + 52999344, + 21022093 + ], + [ + 63207296, + 60694580 + ], + [ + 40751578, + 14908867 + ], + [ + 69046150, + 53099435 + ], + [ + 86360156, + 86766817 + ], + [ + 19792819, + 37401595 + ], + [ + 65570860, + 78687983 + ], + [ + 13992548, + 29105505 + ], + [ + 70992414, + 51594488 + ], + [ + 1022052, + 63602122 + ], + [ + 30520698, + 3621528 + ], + [ + 41685121, + 16358347 + ], + [ + 9645721, + 94920072 + ], + [ + 63178279, + 35193402 + ], + [ + 80057946, + 8769739 + ], + [ + 12231159, + 41082736 + ], + [ + 65425177, + 59903833 + ], + [ + 180530, + 73922629 + ], + [ + 19490509, + 86523500 + ], + [ + 38045996, + 11443355 + ], + [ + 76883341, + 8047885 + ], + [ + 92168593, + 68231574 + ], + [ + 58404872, + 65068520 + ], + [ + 49735599, + 61557186 + ], + [ + 46892932, + 7440267 + ], + [ + 15299307, + 7782949 + ], + [ + 84346337, + 11125589 + ], + [ + 35128542, + 21522491 + ], + [ + 70977283, + 4689982 + ], + [ + 43635461, + 84429583 + ], + [ + 65757345, + 57294686 + ], + [ + 16286561, + 18877189 + ], + [ + 63469554, + 83342084 + ], + [ + 62084987, + 55866038 + ], + [ + 51046907, + 15353885 + ], + [ + 98634340, + 47234042 + ], + [ + 74859890, + 28138227 + ], + [ + 84282839, + 26654628 + ], + [ + 95232214, + 98343069 + ], + [ + 78265767, + 46276471 + ], + [ + 97458955, + 70212437 + ], + [ + 16606103, + 32817522 + ], + [ + 66738607, + 97594326 + ], + [ + 71253250, + 52079410 + ], + [ + 97863645, + 56006171 + ], + [ + 84415762, + 97643789 + ], + [ + 45294941, + 94273349 + ], + [ + 13014391, + 86323870 + ], + [ + 93150188, + 40386413 + ], + [ + 66607758, + 64302641 + ], + [ + 46683376, + 84529711 + ], + [ + 46076621, + 1864873 + ], + [ + 58284900, + 21507335 + ], + [ + 30732555, + 22462973 + ], + [ + 82295386, + 54416718 + ], + [ + 72127235, + 52858601 + ], + [ + 42984936, + 3355900 + ], + [ + 159057, + 9278051 + ], + [ + 63619368, + 33253284 + ], + [ + 38388807, + 70490820 + ], + [ + 59090310, + 32441107 + ], + [ + 79574438, + 42904222 + ], + [ + 22635163, + 36493573 + ], + [ + 75662410, + 48069635 + ], + [ + 52755867, + 60738184 + ], + [ + 9335588, + 26396698 + ], + [ + 62707061, + 60403839 + ], + [ + 51342974, + 43255061 + ], + [ + 35645689, + 44274832 + ], + [ + 88654090, + 84737766 + ], + [ + 94360232, + 35956792 + ], + [ + 20423334, + 44844595 + ], + [ + 43242261, + 47972438 + ], + [ + 59442555, + 6786549 + ], + [ + 38833063, + 51355163 + ], + [ + 2926795, + 89088950 + ], + [ + 57036438, + 2606168 + ], + [ + 63872412, + 27395390 + ], + [ + 94187670, + 69101127 + ], + [ + 93351169, + 9040310 + ], + [ + 61233618, + 62273862 + ], + [ + 57996301, + 19169792 + ], + [ + 85077347, + 2058406 + ], + [ + 99516538, + 87144806 + ], + [ + 79280558, + 54286331 + ], + [ + 51861147, + 96190013 + ], + [ + 43309150, + 99763808 + ], + [ + 40913841, + 73119010 + ], + [ + 34627627, + 3857115 + ], + [ + 3236099, + 11911299 + ], + [ + 39901960, + 94710370 + ], + [ + 30761091, + 93554393 + ], + [ + 19685237, + 50126511 + ], + [ + 26744815, + 92878114 + ], + [ + 32133654, + 13206702 + ], + [ + 4993259, + 60908299 + ], + [ + 16324201, + 74253382 + ], + [ + 73676073, + 51203349 + ], + [ + 51222830, + 3005501 + ], + [ + 8977871, + 47049803 + ], + [ + 24576280, + 16149409 + ], + [ + 22361357, + 77386777 + ], + [ + 78069264, + 20999992 + ], + [ + 16036167, + 28121825 + ], + [ + 14393179, + 23363045 + ], + [ + 63419664, + 74714385 + ], + [ + 10012141, + 36833590 + ], + [ + 93140849, + 12637652 + ], + [ + 53380080, + 96549432 + ], + [ + 43221434, + 53314599 + ], + [ + 81048439, + 68415404 + ], + [ + 35392705, + 87586355 + ], + [ + 27301292, + 66540185 + ], + [ + 36948252, + 30803386 + ], + [ + 99971348, + 6572439 + ], + [ + 58456580, + 37657516 + ], + [ + 80824946, + 87972653 + ], + [ + 27867858, + 65771548 + ], + [ + 75904889, + 57829733 + ], + [ + 87409461, + 42851288 + ], + [ + 63308151, + 28215528 + ], + [ + 43396759, + 49086016 + ], + [ + 61672058, + 99654500 + ], + [ + 97536581, + 1139912 + ], + [ + 27109473, + 35205727 + ], + [ + 34976917, + 50887973 + ], + [ + 20712427, + 73446668 + ], + [ + 56452221, + 23145595 + ], + [ + 24039981, + 77299553 + ], + [ + 55411097, + 13784327 + ], + [ + 80948322, + 85245523 + ], + [ + 7820615, + 75825968 + ], + [ + 14711806, + 39814471 + ], + [ + 22592133, + 66626318 + ], + [ + 53930560, + 95011110 + ], + [ + 20942777, + 11964439 + ], + [ + 17839554, + 54798439 + ], + [ + 17748065, + 4581517 + ], + [ + 64691653, + 95799454 + ], + [ + 81840048, + 96387277 + ], + [ + 35361315, + 32082067 + ], + [ + 25419347, + 39373242 + ], + [ + 54181627, + 58405856 + ], + [ + 12027507, + 71338052 + ], + [ + 33128927, + 13272586 + ], + [ + 68180499, + 26539741 + ], + [ + 58644616, + 94728540 + ], + [ + 94433305, + 59239936 + ], + [ + 88754622, + 89334462 + ], + [ + 89919650, + 82758918 + ], + [ + 1588317, + 78408941 + ], + [ + 98884841, + 7977333 + ], + [ + 38424210, + 12426582 + ], + [ + 36265683, + 53652576 + ], + [ + 62428814, + 2543900 + ], + [ + 12997620, + 74182410 + ], + [ + 1991744, + 35029894 + ], + [ + 98491772, + 17149220 + ], + [ + 48237511, + 89817320 + ], + [ + 80646718, + 36956293 + ], + [ + 34660115, + 31337859 + ], + [ + 62466649, + 75470991 + ], + [ + 37645299, + 38336909 + ], + [ + 16306803, + 98066753 + ], + [ + 21348119, + 65709250 + ], + [ + 4983345, + 14494846 + ], + [ + 88546314, + 67833219 + ], + [ + 45202667, + 73875516 + ], + [ + 63296280, + 95109910 + ], + [ + 60626377, + 710643 + ], + [ + 50283626, + 93916486 + ], + [ + 55453216, + 27533722 + ], + [ + 21634348, + 12754462 + ], + [ + 58680547, + 33891333 + ], + [ + 17706249, + 51084114 + ], + [ + 80474575, + 38599844 + ], + [ + 71063995, + 20444662 + ], + [ + 34420028, + 99725892 + ], + [ + 28516078, + 21557297 + ], + [ + 40753432, + 18941532 + ], + [ + 71062948, + 65822424 + ], + [ + 42663134, + 32802771 + ], + [ + 69325536, + 25723282 + ], + [ + 80051222, + 61144146 + ], + [ + 59413870, + 29279778 + ], + [ + 67146065, + 25243122 + ], + [ + 36457247, + 87261881 + ], + [ + 12425137, + 19198043 + ], + [ + 74691459, + 82503205 + ], + [ + 43300455, + 19560867 + ], + [ + 65432997, + 94563785 + ], + [ + 15503436, + 7824381 + ], + [ + 85667989, + 57873617 + ], + [ + 59669507, + 18876594 + ], + [ + 76948703, + 52832968 + ], + [ + 77758476, + 30762677 + ], + [ + 13028345, + 33089449 + ], + [ + 36098836, + 46303503 + ], + [ + 98274097, + 971213 + ], + [ + 97936556, + 13041339 + ], + [ + 40450032, + 51349724 + ], + [ + 88184463, + 56162703 + ], + [ + 45039439, + 70056641 + ], + [ + 61380672, + 61097327 + ], + [ + 73612237, + 62008404 + ], + [ + 57257289, + 25755928 + ], + [ + 9097023, + 78874447 + ], + [ + 96369423, + 54223769 + ], + [ + 76164273, + 10856628 + ], + [ + 40910456, + 88848402 + ], + [ + 82000036, + 41158189 + ], + [ + 4659502, + 9135854 + ], + [ + 14081946, + 91697470 + ], + [ + 45380867, + 22674153 + ], + [ + 17775356, + 92997212 + ], + [ + 72430321, + 90998605 + ], + [ + 72503851, + 5215309 + ], + [ + 82858079, + 61799032 + ], + [ + 91137219, + 94704549 + ], + [ + 36235368, + 57732071 + ], + [ + 11176748, + 397610 + ], + [ + 75299268, + 98925968 + ], + [ + 53848466, + 74218391 + ], + [ + 98347537, + 35795129 + ], + [ + 65469362, + 52533641 + ], + [ + 63848185, + 14817944 + ], + [ + 4213835, + 65592490 + ], + [ + 61098456, + 47557012 + ], + [ + 4042982, + 426845 + ], + [ + 79104506, + 99648985 + ], + [ + 93153759, + 6308996 + ], + [ + 48382441, + 13314986 + ], + [ + 54837457, + 30132609 + ], + [ + 93136235, + 83881548 + ], + [ + 59969636, + 89339530 + ], + [ + 50394104, + 39205193 + ], + [ + 14097587, + 96171691 + ], + [ + 64959081, + 74418924 + ], + [ + 4177554, + 2758075 + ], + [ + 28804215, + 28923861 + ], + [ + 86115286, + 66919333 + ], + [ + 89786442, + 9030458 + ], + [ + 37162473, + 35867466 + ], + [ + 25899476, + 78049580 + ], + [ + 95879119, + 81257760 + ], + [ + 35810732, + 23358995 + ], + [ + 83706031, + 78627853 + ], + [ + 35918556, + 69487037 + ], + [ + 44966980, + 24913803 + ], + [ + 41714440, + 82430403 + ], + [ + 16842714, + 88039053 + ], + [ + 92596410, + 57334405 + ], + [ + 68022070, + 59978051 + ], + [ + 82278370, + 85543067 + ], + [ + 84816682, + 82460997 + ], + [ + 39081064, + 87101860 + ], + [ + 71338877, + 10552186 + ], + [ + 97063447, + 86808050 + ], + [ + 83380315, + 67496920 + ], + [ + 62223947, + 89605040 + ], + [ + 90926414, + 77784247 + ], + [ + 83699031, + 73094062 + ], + [ + 96244074, + 71167465 + ], + [ + 55329887, + 37459363 + ], + [ + 73038918, + 32747910 + ], + [ + 39603596, + 19792866 + ], + [ + 34170171, + 38824567 + ], + [ + 13719050, + 41308374 + ], + [ + 90462459, + 2268594 + ], + [ + 68182920, + 4088083 + ], + [ + 69197591, + 5483982 + ], + [ + 71304521, + 98826118 + ], + [ + 9519687, + 89441053 + ], + [ + 97098875, + 59239609 + ], + [ + 50576152, + 88360667 + ], + [ + 70271951, + 78498986 + ], + [ + 20352804, + 50143500 + ], + [ + 54948729, + 82138555 + ], + [ + 82534304, + 51840748 + ], + [ + 28711536, + 91373217 + ], + [ + 73878350, + 71247118 + ], + [ + 47338314, + 6707007 + ], + [ + 30563190, + 17932172 + ], + [ + 27657822, + 72569085 + ], + [ + 73530581, + 65757159 + ], + [ + 12866291, + 97298117 + ], + [ + 72965691, + 12459489 + ], + [ + 14663419, + 5654662 + ], + [ + 58691337, + 54712901 + ], + [ + 29749711, + 86355498 + ], + [ + 42610984, + 27311525 + ], + [ + 74476685, + 78747347 + ], + [ + 84727913, + 94967737 + ], + [ + 24034727, + 24762267 + ], + [ + 85130825, + 15379414 + ], + [ + 77698229, + 98007562 + ], + [ + 31587669, + 16831302 + ], + [ + 30883944, + 77745826 + ], + [ + 59568150, + 67179317 + ], + [ + 50118551, + 43632168 + ], + [ + 4823793, + 25119816 + ], + [ + 20099238, + 96426224 + ], + [ + 70609981, + 72719843 + ], + [ + 22346318, + 44866995 + ], + [ + 2289808, + 22683561 + ], + [ + 27524339, + 84397598 + ], + [ + 42665788, + 17924826 + ], + [ + 55964242, + 18826699 + ], + [ + 49685869, + 2768947 + ], + [ + 42837639, + 44302925 + ], + [ + 22478940, + 49370423 + ], + [ + 63884958, + 29837471 + ], + [ + 27849888, + 8994098 + ], + [ + 10222048, + 47041745 + ], + [ + 33861782, + 25353344 + ], + [ + 18152166, + 81158710 + ], + [ + 13996699, + 62759087 + ], + [ + 22723156, + 62615022 + ], + [ + 58363915, + 65973515 + ], + [ + 24952457, + 95165043 + ], + [ + 73156025, + 27951557 + ], + [ + 85415141, + 54104489 + ], + [ + 39981117, + 96201820 + ], + [ + 27110335, + 45885672 + ], + [ + 3674036, + 57399662 + ], + [ + 62680932, + 21727663 + ], + [ + 18383678, + 61229983 + ], + [ + 79444138, + 63414870 + ], + [ + 48191859, + 99899511 + ], + [ + 70471795, + 49452205 + ], + [ + 26403474, + 59374881 + ], + [ + 42140619, + 7152961 + ], + [ + 3842249, + 5756918 + ], + [ + 36626837, + 34685556 + ], + [ + 28364110, + 10472037 + ], + [ + 48202026, + 65950766 + ], + [ + 75550204, + 2390868 + ], + [ + 65329421, + 20516853 + ], + [ + 2836718, + 98319302 + ], + [ + 61906797, + 79309784 + ], + [ + 95448385, + 62816659 + ], + [ + 18807781, + 43892986 + ], + [ + 91927564, + 64043673 + ], + [ + 34049554, + 73636147 + ], + [ + 78055710, + 57951270 + ], + [ + 73374732, + 70515017 + ], + [ + 22925463, + 65962851 + ], + [ + 16035869, + 80053349 + ], + [ + 23911377, + 45617690 + ], + [ + 31167604, + 84834076 + ], + [ + 55936830, + 68416491 + ], + [ + 38344653, + 94497400 + ], + [ + 73414139, + 87528605 + ], + [ + 82792127, + 99782811 + ], + [ + 69189038, + 3326635 + ], + [ + 27316168, + 14993895 + ], + [ + 6418646, + 95874534 + ], + [ + 27469318, + 22136411 + ], + [ + 88599023, + 3428678 + ], + [ + 73885269, + 96100205 + ], + [ + 69934858, + 52108696 + ], + [ + 79567566, + 7360355 + ], + [ + 60919437, + 82911240 + ], + [ + 65182621, + 98077419 + ], + [ + 47880273, + 10165920 + ], + [ + 41706162, + 57482304 + ], + [ + 43694700, + 74417073 + ], + [ + 50916366, + 11531534 + ], + [ + 51018419, + 12826277 + ], + [ + 79782787, + 93767070 + ], + [ + 66333151, + 42353332 + ], + [ + 85624081, + 95352420 + ], + [ + 18787507, + 50418261 + ], + [ + 13795618, + 42244784 + ], + [ + 65618890, + 12182559 + ], + [ + 93826401, + 70169201 + ], + [ + 26564657, + 94409703 + ], + [ + 71241678, + 29112805 + ], + [ + 4938032, + 88668209 + ], + [ + 80943641, + 6805415 + ], + [ + 17378339, + 42361150 + ], + [ + 20662757, + 67713742 + ], + [ + 4657434, + 94316719 + ], + [ + 45023005, + 92067306 + ], + [ + 90446214, + 810324 + ], + [ + 40306260, + 91261216 + ], + [ + 41852753, + 79811916 + ], + [ + 48748196, + 35655058 + ], + [ + 64489253, + 67038634 + ], + [ + 41338242, + 17205891 + ], + [ + 78153468, + 66556135 + ], + [ + 94008850, + 8079826 + ], + [ + 40448751, + 50337001 + ], + [ + 9666082, + 7492743 + ], + [ + 78117097, + 13508451 + ], + [ + 17262893, + 3022321 + ], + [ + 37143359, + 53716032 + ], + [ + 15997237, + 49859545 + ], + [ + 61451038, + 76281178 + ], + [ + 48089861, + 23357245 + ], + [ + 91534564, + 74985535 + ], + [ + 40025898, + 66382742 + ], + [ + 9686391, + 97803931 + ], + [ + 30851141, + 880843 + ], + [ + 42390864, + 62410604 + ], + [ + 20200021, + 36273884 + ], + [ + 10766522, + 29243852 + ], + [ + 43835547, + 80472320 + ], + [ + 72611924, + 62860479 + ], + [ + 95083636, + 67205441 + ], + [ + 32431866, + 36097411 + ], + [ + 26606300, + 50767709 + ], + [ + 65057172, + 44980223 + ], + [ + 74673154, + 54980785 + ], + [ + 78316764, + 98626753 + ], + [ + 56518364, + 67962425 + ], + [ + 99776324, + 24587643 + ], + [ + 55787765, + 75742166 + ], + [ + 39334716, + 5599528 + ], + [ + 42303486, + 17113690 + ], + [ + 8563570, + 90014514 + ], + [ + 31572455, + 82337793 + ], + [ + 81855906, + 55879135 + ], + [ + 52561171, + 7759933 + ], + [ + 87603219, + 19539952 + ], + [ + 43868114, + 31923612 + ], + [ + 64218117, + 12799442 + ], + [ + 49012862, + 77492257 + ], + [ + 50853134, + 62177209 + ], + [ + 65481825, + 50543212 + ], + [ + 45206020, + 72461013 + ], + [ + 72308191, + 80321297 + ], + [ + 5963086, + 10059541 + ], + [ + 85084315, + 57635088 + ], + [ + 61590551, + 10728046 + ], + [ + 84542616, + 35041562 + ], + [ + 27238340, + 56146138 + ], + [ + 12013574, + 70401482 + ], + [ + 3733036, + 26562705 + ], + [ + 60587492, + 92404319 + ], + [ + 28342267, + 87183805 + ], + [ + 14371337, + 46767774 + ], + [ + 96324308, + 61953637 + ], + [ + 21762572, + 2890092 + ], + [ + 63036114, + 33353438 + ], + [ + 74108296, + 52840138 + ], + [ + 15425333, + 14483865 + ], + [ + 92349061, + 51811974 + ], + [ + 13141226, + 84325295 + ], + [ + 96245617, + 49881016 + ], + [ + 68773053, + 22598641 + ], + [ + 54405001, + 4073778 + ], + [ + 36381770, + 88268630 + ], + [ + 22687107, + 34592624 + ], + [ + 95012367, + 66750038 + ], + [ + 54810425, + 1871720 + ], + [ + 74604364, + 47950367 + ], + [ + 12630689, + 45142928 + ], + [ + 10162305, + 3958156 + ], + [ + 24245416, + 36835770 + ], + [ + 32205541, + 52472530 + ], + [ + 58104412, + 14744326 + ], + [ + 91882234, + 22836076 + ], + [ + 82986239, + 33818032 + ], + [ + 66627559, + 55053735 + ], + [ + 99514938, + 15571786 + ], + [ + 66710856, + 30251551 + ], + [ + 70442702, + 54714840 + ], + [ + 97146733, + 50066797 + ], + [ + 96735220, + 34873656 + ], + [ + 98180713, + 7469423 + ], + [ + 96896217, + 31303915 + ], + [ + 1233264, + 37414250 + ], + [ + 57228314, + 50174565 + ], + [ + 89845132, + 62661211 + ], + [ + 79730170, + 249487 + ], + [ + 69010156, + 48648369 + ], + [ + 9629235, + 88633032 + ], + [ + 89577849, + 78497928 + ], + [ + 28488614, + 21470325 + ], + [ + 52748457, + 40486906 + ], + [ + 73029333, + 37158937 + ], + [ + 19500947, + 67461087 + ], + [ + 51215855, + 58845440 + ], + [ + 65327220, + 79267502 + ], + [ + 98185597, + 18038928 + ], + [ + 64057732, + 56855733 + ], + [ + 70676919, + 37215379 + ], + [ + 8243994, + 67657584 + ], + [ + 88940646, + 42925050 + ], + [ + 23342856, + 27008278 + ], + [ + 53239457, + 43376501 + ], + [ + 50945785, + 37537702 + ], + [ + 2550402, + 89514251 + ], + [ + 3602780, + 38018264 + ], + [ + 85385034, + 34494353 + ], + [ + 62380906, + 97458307 + ], + [ + 65398366, + 80322817 + ], + [ + 51458329, + 2314117 + ], + [ + 78249878, + 27336282 + ], + [ + 19082800, + 93221175 + ], + [ + 11979210, + 23385962 + ], + [ + 1421922, + 44847764 + ], + [ + 71943541, + 93137336 + ], + [ + 24589960, + 74654508 + ], + [ + 76603518, + 18388157 + ], + [ + 53731728, + 35289057 + ], + [ + 80809215, + 96482699 + ], + [ + 95497835, + 27269007 + ], + [ + 38779165, + 97255843 + ], + [ + 83923806, + 71766614 + ], + [ + 69155772, + 95173967 + ], + [ + 40111114, + 88302155 + ], + [ + 29353133, + 52983282 + ], + [ + 12146311, + 6805495 + ], + [ + 4253500, + 51948121 + ], + [ + 89004971, + 7454772 + ], + [ + 41237852, + 50797601 + ], + [ + 51992202, + 56229346 + ], + [ + 79909860, + 40927468 + ], + [ + 75782321, + 46309012 + ], + [ + 57883983, + 62302517 + ], + [ + 70390323, + 41945673 + ], + [ + 934578, + 1682185 + ], + [ + 26225936, + 23361860 + ], + [ + 26469252, + 78533225 + ], + [ + 93444731, + 5456866 + ], + [ + 57382098, + 40284266 + ], + [ + 65019868, + 29899791 + ], + [ + 99184591, + 94733114 + ], + [ + 52552236, + 56413450 + ], + [ + 21332792, + 33377433 + ], + [ + 94320000, + 46332371 + ], + [ + 62361000, + 47746091 + ], + [ + 8611316, + 22157904 + ], + [ + 51603044, + 84046105 + ], + [ + 47839757, + 63096149 + ], + [ + 54856101, + 18439111 + ], + [ + 28819374, + 58165358 + ], + [ + 5258841, + 26599385 + ], + [ + 8627785, + 604704 + ], + [ + 64482488, + 30796245 + ], + [ + 94845840, + 69911075 + ], + [ + 24634012, + 62243939 + ], + [ + 57552482, + 73761418 + ], + [ + 26206799, + 52468282 + ], + [ + 96138264, + 37843235 + ], + [ + 16012201, + 65891833 + ], + [ + 27746959, + 29027578 + ], + [ + 61819094, + 19534967 + ], + [ + 83164879, + 39347021 + ], + [ + 24055027, + 28350929 + ], + [ + 51571312, + 45285270 + ], + [ + 14922679, + 82467499 + ], + [ + 7819265, + 27240377 + ], + [ + 48071993, + 68951274 + ], + [ + 80099574, + 19507334 + ], + [ + 65592845, + 26628335 + ], + [ + 64541404, + 12832595 + ], + [ + 89416723, + 5145273 + ], + [ + 33389436, + 58329177 + ], + [ + 14517863, + 18857829 + ], + [ + 92400846, + 38578708 + ], + [ + 91747314, + 28469235 + ], + [ + 81128553, + 3486056 + ], + [ + 44069086, + 85296606 + ], + [ + 64929616, + 75160297 + ], + [ + 93355056, + 77912174 + ], + [ + 62364446, + 83568478 + ], + [ + 29275529, + 36293047 + ], + [ + 57272972, + 5113153 + ], + [ + 88402637, + 73171257 + ], + [ + 46387684, + 10592720 + ], + [ + 27717313, + 40621102 + ], + [ + 89655326, + 5017876 + ], + [ + 4593219, + 25369357 + ], + [ + 93977846, + 89738433 + ], + [ + 1223498, + 34296259 + ], + [ + 23594215, + 25733130 + ], + [ + 15713211, + 91667934 + ], + [ + 15153095, + 30026436 + ], + [ + 24121672, + 99059335 + ], + [ + 91132368, + 62224976 + ], + [ + 92224280, + 97677024 + ], + [ + 18593312, + 43844934 + ], + [ + 26203666, + 40371269 + ], + [ + 61706906, + 74437639 + ], + [ + 96383023, + 28322311 + ], + [ + 36021317, + 27184070 + ], + [ + 55769593, + 28506558 + ], + [ + 46296236, + 96645620 + ], + [ + 5395511, + 71913771 + ], + [ + 30341191, + 30516944 + ], + [ + 97004762, + 99379412 + ], + [ + 15351158, + 24082706 + ], + [ + 25064085, + 28934751 + ], + [ + 40082093, + 57772144 + ], + [ + 47059979, + 8413803 + ], + [ + 31723528, + 91835039 + ], + [ + 58420444, + 16236394 + ], + [ + 71537163, + 99811414 + ], + [ + 70480170, + 5930337 + ], + [ + 41199082, + 28285545 + ], + [ + 54985848, + 62534901 + ], + [ + 48392153, + 64947167 + ], + [ + 64009743, + 77225129 + ], + [ + 14244313, + 17112281 + ], + [ + 35714984, + 92441104 + ], + [ + 44444793, + 46130520 + ], + [ + 26513243, + 62490544 + ], + [ + 83589441, + 41423851 + ], + [ + 58663657, + 10783448 + ], + [ + 64147283, + 87609354 + ], + [ + 91028499, + 81599116 + ], + [ + 20693693, + 5906471 + ], + [ + 34255075, + 58485719 + ], + [ + 93348281, + 21211000 + ], + [ + 74358522, + 86495856 + ], + [ + 86694129, + 11158712 + ], + [ + 36040577, + 53963258 + ], + [ + 68043687, + 33247843 + ], + [ + 21584366, + 84286285 + ], + [ + 90650960, + 15701051 + ], + [ + 4763903, + 98883485 + ], + [ + 33589008, + 64234447 + ], + [ + 85494170, + 89928008 + ], + [ + 10567302, + 52389186 + ], + [ + 87096058, + 23802102 + ], + [ + 2370515, + 88913214 + ], + [ + 48766726, + 31213199 + ], + [ + 34369689, + 65241237 + ], + [ + 18652768, + 41740060 + ], + [ + 61762864, + 46630541 + ], + [ + 27919807, + 53330677 + ], + [ + 28257248, + 7000919 + ], + [ + 27951028, + 63602992 + ], + [ + 39847540, + 97020276 + ], + [ + 54255833, + 49384805 + ], + [ + 12233197, + 63697457 + ], + [ + 4336178, + 87834142 + ], + [ + 89154779, + 34710570 + ], + [ + 45738499, + 80524743 + ], + [ + 15056575, + 22470783 + ], + [ + 76404706, + 36490285 + ], + [ + 33260198, + 7440678 + ], + [ + 42641024, + 66542387 + ], + [ + 12561064, + 83953654 + ], + [ + 32761949, + 56863776 + ], + [ + 32591483, + 26158373 + ], + [ + 20610368, + 61494092 + ], + [ + 53292692, + 42672557 + ], + [ + 22274297, + 13845842 + ], + [ + 14017063, + 35008141 + ], + [ + 54480019, + 10418176 + ], + [ + 64937704, + 86722651 + ], + [ + 29509661, + 21755683 + ], + [ + 45590659, + 75200843 + ], + [ + 35713801, + 25136310 + ], + [ + 56597135, + 69817604 + ], + [ + 40241696, + 1996049 + ], + [ + 73584846, + 48487154 + ], + [ + 22583563, + 42355292 + ], + [ + 86950312, + 88308498 + ], + [ + 23728374, + 23257514 + ], + [ + 79519663, + 85045500 + ], + [ + 60807184, + 94941781 + ], + [ + 5183792, + 15587681 + ], + [ + 28262390, + 89496660 + ], + [ + 71851529, + 95949495 + ], + [ + 44428061, + 13485089 + ], + [ + 46497545, + 14752860 + ], + [ + 97068069, + 46856286 + ], + [ + 18823851, + 50804233 + ], + [ + 3612137, + 72009171 + ], + [ + 37679874, + 98131620 + ], + [ + 75345485, + 99047899 + ], + [ + 8742072, + 46758570 + ], + [ + 89295498, + 99012293 + ], + [ + 33483940, + 22695208 + ], + [ + 1135824, + 74573497 + ], + [ + 32815185, + 92321805 + ], + [ + 94042932, + 19072926 + ], + [ + 61849867, + 8168026 + ], + [ + 10909817, + 18732807 + ], + [ + 50134292, + 83151199 + ], + [ + 61020983, + 8361027 + ], + [ + 64085806, + 19417544 + ], + [ + 19026417, + 46882539 + ], + [ + 67207029, + 7418865 + ], + [ + 91245843, + 17276098 + ], + [ + 65812780, + 5079940 + ], + [ + 69379328, + 42037659 + ], + [ + 74053759, + 12411523 + ], + [ + 76412183, + 47654561 + ], + [ + 8630454, + 3290124 + ], + [ + 34243354, + 74192804 + ], + [ + 73598589, + 5922182 + ], + [ + 95099772, + 3638018 + ], + [ + 3374070, + 94276487 + ], + [ + 27025957, + 52106147 + ], + [ + 76075261, + 71358584 + ], + [ + 71602704, + 81486394 + ], + [ + 420046, + 5960049 + ], + [ + 75401785, + 45120407 + ], + [ + 21417261, + 26583837 + ], + [ + 19596039, + 8370877 + ], + [ + 85821264, + 38021241 + ], + [ + 65460990, + 16761002 + ], + [ + 46713324, + 55638288 + ], + [ + 38866123, + 13912102 + ], + [ + 63930918, + 73667701 + ], + [ + 83129506, + 15069295 + ], + [ + 52238334, + 52439233 + ], + [ + 17982874, + 98604041 + ], + [ + 7105496, + 24516775 + ], + [ + 59609225, + 37223113 + ], + [ + 57345339, + 18408973 + ], + [ + 56828219, + 72299668 + ], + [ + 13154704, + 62821433 + ], + [ + 17812420, + 19700578 + ], + [ + 57024108, + 46658366 + ], + [ + 52424881, + 27592396 + ], + [ + 42280234, + 10413366 + ], + [ + 89771017, + 89977796 + ], + [ + 95001032, + 28954694 + ], + [ + 58378907, + 11314916 + ], + [ + 78639664, + 88084005 + ], + [ + 96964457, + 87088862 + ], + [ + 91130729, + 54005087 + ], + [ + 26145016, + 96755242 + ], + [ + 40283280, + 76328381 + ], + [ + 94925143, + 97709512 + ], + [ + 53658726, + 43181433 + ], + [ + 45711978, + 85321568 + ], + [ + 74613434, + 89356019 + ], + [ + 23973752, + 74990650 + ], + [ + 2360699, + 92467720 + ], + [ + 97427535, + 35816093 + ], + [ + 27504254, + 79349959 + ], + [ + 8802827, + 99769405 + ], + [ + 69708332, + 5826346 + ], + [ + 7792376, + 69294202 + ], + [ + 23442210, + 63842353 + ], + [ + 4523777, + 72257386 + ], + [ + 5403642, + 43561498 + ], + [ + 2834769, + 45570152 + ], + [ + 46790434, + 84279223 + ], + [ + 42774320, + 27763125 + ], + [ + 72602659, + 81974112 + ], + [ + 28518767, + 11443271 + ], + [ + 11053489, + 70175200 + ], + [ + 24803573, + 39215216 + ], + [ + 43984378, + 46346796 + ], + [ + 47609888, + 43743064 + ], + [ + 66108571, + 86248660 + ], + [ + 46486650, + 54183302 + ], + [ + 19059160, + 77307892 + ], + [ + 86771466, + 29697042 + ], + [ + 96169689, + 5288295 + ], + [ + 81930153, + 59038579 + ], + [ + 73772431, + 18643653 + ], + [ + 15863484, + 8656257 + ], + [ + 91441323, + 69323178 + ], + [ + 28289177, + 45362126 + ], + [ + 55779848, + 71691331 + ], + [ + 24465451, + 73170611 + ], + [ + 9579986, + 1722334 + ], + [ + 99058466, + 49918194 + ], + [ + 9741660, + 96087527 + ], + [ + 4924182, + 3926161 + ], + [ + 60825051, + 41910683 + ], + [ + 55261554, + 75608106 + ], + [ + 54459817, + 76081469 + ], + [ + 2971859, + 83606412 + ], + [ + 34773184, + 90870342 + ], + [ + 52303758, + 43920610 + ], + [ + 90592986, + 53718843 + ], + [ + 13627722, + 78947747 + ], + [ + 36383245, + 19202165 + ], + [ + 38683639, + 84243032 + ], + [ + 86676817, + 6409037 + ], + [ + 50168491, + 90618239 + ], + [ + 91430951, + 99326362 + ], + [ + 65237893, + 92326825 + ], + [ + 12877384, + 53330077 + ], + [ + 91741536, + 31475801 + ], + [ + 13625311, + 60288876 + ], + [ + 45147183, + 38479683 + ], + [ + 9845565, + 99636692 + ], + [ + 83383275, + 23749526 + ], + [ + 61770520, + 75213134 + ], + [ + 24613170, + 27746532 + ], + [ + 26206015, + 10360665 + ], + [ + 20196678, + 63421334 + ], + [ + 60444707, + 68501917 + ], + [ + 81501487, + 19602349 + ], + [ + 40444984, + 27325995 + ], + [ + 62270978, + 45574010 + ], + [ + 80486066, + 53264390 + ], + [ + 6174365, + 21163537 + ], + [ + 62303957, + 76742883 + ], + [ + 35845496, + 36409292 + ], + [ + 452306, + 22589435 + ], + [ + 26706810, + 26019111 + ], + [ + 85137507, + 93521764 + ], + [ + 70952216, + 13779794 + ], + [ + 56570164, + 77723979 + ], + [ + 20391934, + 33188364 + ], + [ + 75976961, + 1124492 + ], + [ + 42470350, + 85798147 + ], + [ + 81170507, + 72190814 + ], + [ + 51722827, + 10733485 + ], + [ + 46042534, + 26545135 + ], + [ + 25358872, + 95678142 + ], + [ + 88839529, + 23288909 + ], + [ + 15151394, + 86345544 + ], + [ + 49624103, + 43828389 + ], + [ + 57498476, + 85428341 + ], + [ + 20751868, + 80806128 + ], + [ + 57763541, + 90335369 + ], + [ + 24558949, + 31355510 + ], + [ + 54329148, + 52425742 + ], + [ + 40601186, + 85547755 + ], + [ + 46837974, + 68470241 + ], + [ + 67282410, + 99739498 + ], + [ + 97003606, + 56949670 + ], + [ + 49269535, + 38228624 + ], + [ + 24344375, + 57564492 + ], + [ + 71111634, + 99953862 + ], + [ + 58588733, + 25278238 + ], + [ + 35960110, + 35046448 + ], + [ + 16069300, + 38126084 + ], + [ + 30360824, + 95158750 + ], + [ + 37810627, + 77893288 + ], + [ + 93700703, + 91889473 + ], + [ + 35877642, + 85301857 + ], + [ + 4436709, + 94613066 + ], + [ + 81155733, + 79040456 + ], + [ + 2606585, + 82877581 + ], + [ + 9631028, + 22863641 + ], + [ + 11063981, + 12291256 + ], + [ + 77250853, + 23277093 + ], + [ + 65698905, + 66047261 + ], + [ + 79138812, + 42158122 + ], + [ + 12289940, + 39067229 + ], + [ + 33888559, + 19653819 + ], + [ + 20756876, + 80054597 + ], + [ + 68335785, + 29913822 + ], + [ + 16625696, + 62557232 + ], + [ + 31844025, + 23403472 + ], + [ + 86137208, + 97809466 + ], + [ + 79462031, + 56264834 + ], + [ + 44842413, + 25091884 + ], + [ + 98590240, + 99264930 + ], + [ + 33563897, + 80002806 + ], + [ + 66258068, + 34233537 + ], + [ + 48646808, + 42955825 + ], + [ + 18689660, + 4323373 + ], + [ + 37465623, + 18712224 + ], + [ + 99778603, + 84583744 + ], + [ + 24401577, + 23327477 + ], + [ + 30930653, + 50158329 + ], + [ + 44645798, + 95176248 + ], + [ + 7715597, + 37526834 + ], + [ + 92475328, + 66582250 + ], + [ + 57805369, + 89962906 + ], + [ + 38576813, + 38359035 + ], + [ + 61094385, + 37482332 + ], + [ + 88928209, + 55379551 + ], + [ + 43924348, + 10475327 + ], + [ + 37872860, + 29830800 + ], + [ + 64600025, + 53638700 + ], + [ + 46926708, + 12936121 + ], + [ + 68449682, + 67285317 + ], + [ + 90095708, + 19107481 + ], + [ + 65174506, + 19824444 + ], + [ + 47740673, + 20313992 + ], + [ + 22505582, + 87409236 + ], + [ + 14430569, + 70989594 + ], + [ + 27496240, + 63882440 + ], + [ + 50412291, + 76354594 + ], + [ + 11429729, + 78401718 + ], + [ + 25066654, + 19033587 + ], + [ + 40899633, + 84536965 + ], + [ + 92363189, + 85838301 + ], + [ + 54008366, + 25739666 + ], + [ + 29348102, + 92299103 + ], + [ + 55025343, + 67218870 + ], + [ + 71941361, + 86676810 + ], + [ + 57263416, + 99875241 + ], + [ + 50858054, + 78997887 + ], + [ + 81420278, + 23845712 + ], + [ + 88004988, + 78511648 + ], + [ + 48981742, + 8989607 + ], + [ + 10788449, + 12840848 + ], + [ + 72432718, + 2560894 + ], + [ + 89252461, + 28131342 + ], + [ + 23142166, + 12764722 + ], + [ + 68541823, + 3810927 + ], + [ + 68613992, + 75437950 + ], + [ + 47099084, + 1956187 + ], + [ + 32105015, + 31065430 + ], + [ + 40346068, + 60933919 + ], + [ + 49060147, + 83740339 + ], + [ + 21774733, + 93713686 + ], + [ + 94620092, + 85212444 + ], + [ + 60607795, + 67378129 + ], + [ + 37100465, + 88807685 + ], + [ + 13344895, + 11150074 + ], + [ + 41744278, + 11235554 + ], + [ + 98498202, + 18094118 + ], + [ + 19580374, + 16473576 + ], + [ + 40039758, + 58560942 + ], + [ + 76717889, + 21513581 + ], + [ + 58139871, + 89204245 + ], + [ + 34771484, + 91014603 + ], + [ + 59296734, + 55074152 + ], + [ + 42588116, + 11972417 + ], + [ + 11339974, + 864343 + ], + [ + 34566242, + 65440990 + ], + [ + 49557380, + 6114759 + ], + [ + 70974258, + 33516230 + ], + [ + 75732374, + 86902189 + ], + [ + 25232458, + 60499977 + ], + [ + 28540511, + 94633247 + ], + [ + 65248187, + 31618624 + ], + [ + 4351503, + 61810171 + ], + [ + 93492594, + 21512425 + ], + [ + 4398483, + 567036 + ], + [ + 40581302, + 26080472 + ], + [ + 68416753, + 71380109 + ], + [ + 97680319, + 24231715 + ], + [ + 50392398, + 77144421 + ], + [ + 91891675, + 2263378 + ], + [ + 18737656, + 48852212 + ], + [ + 7451870, + 31908568 + ], + [ + 53829705, + 28689086 + ], + [ + 52132856, + 8151350 + ], + [ + 16747749, + 83351073 + ], + [ + 9996420, + 7570637 + ], + [ + 92529935, + 45143933 + ], + [ + 90712827, + 6451161 + ], + [ + 14666047, + 47148749 + ], + [ + 58122630, + 12290037 + ], + [ + 42057392, + 87476324 + ], + [ + 13904496, + 19085172 + ], + [ + 96583100, + 40775035 + ], + [ + 24185548, + 5596692 + ], + [ + 61365009, + 364756 + ], + [ + 1172241, + 87883719 + ], + [ + 33606960, + 21935077 + ], + [ + 38834403, + 37349472 + ], + [ + 86988585, + 94078111 + ], + [ + 38715213, + 341505 + ], + [ + 51284111, + 62265195 + ], + [ + 91657658, + 87329823 + ], + [ + 24234616, + 64995580 + ], + [ + 74847135, + 36341413 + ], + [ + 62011934, + 68337141 + ], + [ + 95282582, + 7277299 + ], + [ + 50252997, + 49280840 + ], + [ + 7643029, + 65052355 + ], + [ + 87478417, + 50882071 + ], + [ + 28162491, + 6459202 + ], + [ + 63938004, + 83386863 + ], + [ + 39498374, + 89233230 + ], + [ + 50296864, + 73163173 + ], + [ + 75787122, + 40489301 + ], + [ + 4578214, + 99472080 + ], + [ + 28620290, + 94162735 + ], + [ + 1921327, + 12526373 + ], + [ + 7030629, + 86975626 + ], + [ + 66803341, + 69248997 + ], + [ + 86110376, + 71371686 + ], + [ + 66266626, + 94230739 + ], + [ + 17024559, + 65859924 + ], + [ + 34634178, + 82139275 + ], + [ + 18537215, + 89605437 + ], + [ + 74722665, + 48800263 + ], + [ + 31947246, + 53741127 + ], + [ + 76828299, + 97364994 + ], + [ + 80215347, + 66685172 + ], + [ + 77901462, + 20950029 + ], + [ + 14032588, + 62676125 + ], + [ + 47823273, + 34577691 + ], + [ + 7000708, + 29237950 + ], + [ + 36938385, + 36953385 + ], + [ + 35590695, + 69147605 + ], + [ + 21760870, + 65549250 + ], + [ + 72801830, + 44765802 + ], + [ + 82700663, + 14198319 + ], + [ + 60822832, + 55844744 + ], + [ + 76089061, + 78121715 + ], + [ + 5559304, + 26342673 + ], + [ + 54421233, + 78195268 + ], + [ + 15027590, + 95463770 + ], + [ + 28237882, + 90512327 + ], + [ + 46716248, + 93545182 + ], + [ + 8801378, + 65793097 + ], + [ + 67194680, + 23144751 + ], + [ + 95411820, + 47055214 + ], + [ + 80539602, + 80614712 + ], + [ + 13252761, + 64319451 + ], + [ + 58550245, + 68326085 + ], + [ + 97663284, + 10029933 + ], + [ + 10559410, + 40282053 + ], + [ + 46253983, + 65256774 + ], + [ + 16770728, + 83742899 + ], + [ + 19976040, + 21397469 + ], + [ + 65449896, + 47303988 + ], + [ + 25766316, + 42548420 + ], + [ + 27942311, + 92604615 + ], + [ + 63958534, + 23234850 + ], + [ + 14384458, + 38516044 + ], + [ + 20610171, + 86789512 + ], + [ + 21851508, + 48685767 + ], + [ + 47527967, + 52988949 + ], + [ + 79252361, + 77778849 + ], + [ + 36934059, + 70968681 + ], + [ + 4802165, + 9313821 + ], + [ + 6697203, + 21910438 + ], + [ + 20919644, + 12545720 + ], + [ + 7571738, + 29618657 + ], + [ + 98879754, + 26964899 + ], + [ + 57856939, + 19622631 + ], + [ + 61859134, + 92709753 + ], + [ + 79049666, + 88082446 + ], + [ + 450479, + 8282756 + ], + [ + 53867973, + 15379821 + ], + [ + 23680716, + 82098121 + ], + [ + 78083730, + 82074760 + ], + [ + 46861297, + 84052444 + ], + [ + 55260054, + 48287981 + ], + [ + 60173094, + 41720536 + ], + [ + 68036708, + 20567127 + ], + [ + 79080657, + 24534150 + ], + [ + 40263865, + 94067252 + ], + [ + 11973495, + 68282467 + ], + [ + 82185595, + 5273146 + ], + [ + 76356222, + 35702098 + ], + [ + 91661163, + 94865816 + ], + [ + 1508711, + 27343706 + ], + [ + 43501263, + 37493252 + ], + [ + 94470571, + 65145036 + ], + [ + 66592531, + 59834202 + ], + [ + 83468527, + 2283270 + ], + [ + 95910246, + 17510815 + ], + [ + 21178092, + 35505552 + ], + [ + 70737690, + 55836590 + ], + [ + 80417124, + 2415901 + ], + [ + 88537290, + 7238496 + ], + [ + 74441899, + 97779404 + ], + [ + 34329928, + 7025515 + ], + [ + 15928815, + 97487182 + ], + [ + 76235951, + 29434231 + ], + [ + 10776096, + 20476491 + ], + [ + 5910487, + 93667991 + ], + [ + 43774453, + 12493596 + ], + [ + 74195785, + 34582108 + ], + [ + 91647122, + 18805528 + ], + [ + 13452111, + 79016984 + ], + [ + 54365306, + 26791599 + ], + [ + 1266993, + 52560573 + ], + [ + 32811914, + 1238602 + ], + [ + 1819757, + 60702300 + ], + [ + 99241858, + 56538293 + ], + [ + 95506386, + 22707515 + ], + [ + 67157410, + 73473080 + ], + [ + 52959504, + 29729206 + ], + [ + 68389691, + 68481388 + ], + [ + 66102994, + 16380479 + ], + [ + 47946841, + 74420179 + ], + [ + 83674261, + 43836557 + ], + [ + 26932536, + 99014972 + ], + [ + 48372678, + 23232746 + ], + [ + 69559404, + 53718203 + ], + [ + 81483590, + 12049492 + ], + [ + 46954810, + 8699630 + ], + [ + 85250543, + 39201300 + ], + [ + 55511994, + 76732443 + ], + [ + 26605395, + 77791705 + ], + [ + 7501880, + 41527027 + ], + [ + 24013665, + 1062131 + ], + [ + 25559607, + 39616614 + ], + [ + 21868678, + 26170943 + ], + [ + 57090943, + 78289258 + ], + [ + 83464878, + 31621191 + ], + [ + 15825724, + 34842501 + ], + [ + 98218039, + 87393439 + ], + [ + 86984534, + 91110497 + ], + [ + 15052413, + 97372203 + ], + [ + 95885411, + 40087009 + ], + [ + 64998643, + 72104602 + ], + [ + 65474067, + 43772186 + ], + [ + 69016936, + 72404359 + ], + [ + 74936190, + 83811756 + ], + [ + 75944945, + 43542233 + ], + [ + 64557388, + 4445082 + ], + [ + 92768969, + 57186760 + ], + [ + 97257100, + 41690533 + ], + [ + 8589533, + 6464532 + ], + [ + 69468818, + 99206739 + ], + [ + 32487735, + 43672005 + ], + [ + 28700642, + 35680610 + ], + [ + 15662836, + 93098830 + ], + [ + 47845925, + 20813992 + ], + [ + 56236601, + 56056085 + ], + [ + 54447767, + 93605552 + ], + [ + 99204999, + 50111235 + ], + [ + 83728313, + 11967974 + ], + [ + 57763345, + 17332703 + ], + [ + 48228514, + 24569101 + ], + [ + 80913580, + 68124862 + ], + [ + 28696113, + 87377694 + ], + [ + 73568442, + 92510353 + ], + [ + 27817700, + 69805845 + ], + [ + 94529405, + 3750022 + ], + [ + 24716166, + 40871904 + ], + [ + 56703026, + 16430623 + ], + [ + 17546128, + 8687110 + ], + [ + 17787262, + 76518321 + ], + [ + 6425450, + 91842407 + ], + [ + 18777590, + 94928642 + ], + [ + 34025608, + 43457350 + ], + [ + 50924323, + 74224149 + ], + [ + 80640675, + 68672874 + ], + [ + 15899031, + 5936852 + ], + [ + 93321789, + 43082299 + ], + [ + 14607045, + 6451807 + ], + [ + 85419680, + 70938830 + ], + [ + 81190635, + 57064362 + ], + [ + 35615626, + 47024589 + ], + [ + 67690246, + 33698429 + ], + [ + 35264836, + 47951684 + ], + [ + 70560398, + 8088303 + ], + [ + 16996728, + 3907984 + ], + [ + 67272046, + 78220311 + ], + [ + 1681731, + 16278261 + ], + [ + 70918781, + 24017177 + ], + [ + 42187100, + 67639812 + ], + [ + 17338836, + 72375859 + ], + [ + 22592199, + 5454017 + ], + [ + 6168140, + 70709513 + ], + [ + 17980524, + 70751064 + ], + [ + 38046255, + 38632422 + ], + [ + 84287379, + 3941544 + ], + [ + 64304906, + 58235429 + ], + [ + 57616649, + 79850888 + ], + [ + 6287108, + 86990664 + ], + [ + 28893532, + 83074295 + ], + [ + 99542951, + 97764853 + ], + [ + 29427062, + 7467420 + ], + [ + 61982098, + 81745940 + ], + [ + 32032475, + 16480335 + ], + [ + 46126496, + 88850797 + ], + [ + 60193757, + 46980348 + ], + [ + 40559167, + 13903280 + ], + [ + 22451066, + 78579362 + ], + [ + 50520403, + 51362553 + ], + [ + 65690574, + 8640280 + ], + [ + 94515078, + 56816223 + ], + [ + 11320039, + 88193646 + ], + [ + 96817439, + 29812940 + ], + [ + 79552401, + 88841114 + ], + [ + 9894746, + 93476021 + ], + [ + 93974580, + 26247702 + ], + [ + 26937185, + 55275423 + ], + [ + 42869709, + 62890632 + ], + [ + 53318559, + 8418491 + ], + [ + 24571229, + 54728852 + ], + [ + 76821740, + 65652543 + ], + [ + 955083, + 12381103 + ], + [ + 47357100, + 5525229 + ], + [ + 5079804, + 12643515 + ], + [ + 48107615, + 40437288 + ], + [ + 40358088, + 51884065 + ], + [ + 55672410, + 81826514 + ], + [ + 89026664, + 71683900 + ], + [ + 76343276, + 99287720 + ], + [ + 16107348, + 37030259 + ], + [ + 53567822, + 45609833 + ], + [ + 63290324, + 80333519 + ], + [ + 92746244, + 57341850 + ], + [ + 14808262, + 36611869 + ], + [ + 96088654, + 51051047 + ], + [ + 32396667, + 41576166 + ], + [ + 70072958, + 93291574 + ], + [ + 48050543, + 45952524 + ], + [ + 65028010, + 78998554 + ], + [ + 65002864, + 56049999 + ], + [ + 16899791, + 24905534 + ], + [ + 98512620, + 10877546 + ], + [ + 81637484, + 36218426 + ], + [ + 23245782, + 71129393 + ], + [ + 26490685, + 39207725 + ], + [ + 24902308, + 84692074 + ], + [ + 12042752, + 26361839 + ], + [ + 13706375, + 47213949 + ], + [ + 55707444, + 80911179 + ], + [ + 59084480, + 91049066 + ], + [ + 93480931, + 24936517 + ], + [ + 75735564, + 78964952 + ], + [ + 69940687, + 2425978 + ], + [ + 22778627, + 30579321 + ], + [ + 15669036, + 94383138 + ], + [ + 2217726, + 71817176 + ], + [ + 58246620, + 75402037 + ], + [ + 51568738, + 74847628 + ], + [ + 27047745, + 1880350 + ], + [ + 20644308, + 89464203 + ], + [ + 74305297, + 57072117 + ], + [ + 65637844, + 29644133 + ], + [ + 95102594, + 13778655 + ], + [ + 99940911, + 77673680 + ], + [ + 85286909, + 19028609 + ], + [ + 70512207, + 81034681 + ], + [ + 73458686, + 27399333 + ], + [ + 42636904, + 25925017 + ], + [ + 24231171, + 36053163 + ], + [ + 43741033, + 40982973 + ], + [ + 43782797, + 37143727 + ], + [ + 93797917, + 3193506 + ], + [ + 93725393, + 81780459 + ], + [ + 91504751, + 78159499 + ], + [ + 30011170, + 83749925 + ], + [ + 14773795, + 84514914 + ], + [ + 72334512, + 26334787 + ], + [ + 55619364, + 77236122 + ], + [ + 58192684, + 74748693 + ], + [ + 77805861, + 38670250 + ], + [ + 36123924, + 22168335 + ], + [ + 22832909, + 37767919 + ], + [ + 94093423, + 82250826 + ], + [ + 5484412, + 78451295 + ], + [ + 9903293, + 25633896 + ], + [ + 42248064, + 48207510 + ], + [ + 76388774, + 80775940 + ], + [ + 50513089, + 11448282 + ], + [ + 1549262, + 3211108 + ], + [ + 7710752, + 69734916 + ], + [ + 19642354, + 73309960 + ], + [ + 60282995, + 41227188 + ], + [ + 63524701, + 53782903 + ], + [ + 36601987, + 91104430 + ], + [ + 61552063, + 30619819 + ], + [ + 36634178, + 10512863 + ], + [ + 68526933, + 87640544 + ], + [ + 25074058, + 24166012 + ], + [ + 26484661, + 85988461 + ], + [ + 59679502, + 54529198 + ], + [ + 70547062, + 14766971 + ], + [ + 70318152, + 54533294 + ], + [ + 60474020, + 32176545 + ], + [ + 1813280, + 88109587 + ], + [ + 86383968, + 6125265 + ], + [ + 80623266, + 42231380 + ], + [ + 6424441, + 48131687 + ], + [ + 20592052, + 1259530 + ], + [ + 34624525, + 34253678 + ], + [ + 15210292, + 61088914 + ], + [ + 70509870, + 17688537 + ], + [ + 14235333, + 86148166 + ], + [ + 27117251, + 20160072 + ], + [ + 72796619, + 9678086 + ], + [ + 15864625, + 62357787 + ], + [ + 47766855, + 81262438 + ], + [ + 31119116, + 33333758 + ], + [ + 36155720, + 60109180 + ], + [ + 2373092, + 22543395 + ], + [ + 3903809, + 32798878 + ], + [ + 49487158, + 87585010 + ], + [ + 43397764, + 89696932 + ], + [ + 59883399, + 51805969 + ], + [ + 30435691, + 71951853 + ], + [ + 75467375, + 36808466 + ], + [ + 15935843, + 34876782 + ], + [ + 26340761, + 71272725 + ], + [ + 5213256, + 928660 + ], + [ + 52339114, + 11289868 + ], + [ + 74911750, + 64062843 + ], + [ + 58068681, + 77054065 + ], + [ + 73702267, + 89916964 + ], + [ + 7112595, + 14802504 + ], + [ + 33737227, + 39021986 + ], + [ + 36223882, + 92921215 + ], + [ + 30749431, + 93617220 + ], + [ + 7625194, + 26279449 + ], + [ + 72327567, + 29795572 + ], + [ + 20729990, + 53409958 + ], + [ + 75156800, + 56037465 + ], + [ + 98073747, + 929562 + ], + [ + 78542774, + 59519216 + ], + [ + 19207029, + 90861278 + ], + [ + 45766998, + 57385497 + ], + [ + 61604668, + 4019472 + ], + [ + 52147948, + 61231263 + ], + [ + 54895544, + 4470017 + ], + [ + 32355263, + 67700709 + ], + [ + 85353282, + 40675369 + ], + [ + 96703589, + 54117726 + ], + [ + 84005645, + 40407408 + ], + [ + 92166932, + 7768007 + ], + [ + 61955844, + 99473195 + ], + [ + 46158250, + 50967123 + ], + [ + 58585840, + 79079426 + ], + [ + 39669739, + 15595346 + ], + [ + 19122375, + 40772123 + ], + [ + 80082847, + 30117691 + ], + [ + 70750483, + 57244458 + ], + [ + 48564821, + 81465890 + ], + [ + 92909133, + 36901835 + ], + [ + 40390704, + 2329541 + ], + [ + 79255768, + 70291469 + ], + [ + 51864986, + 10635279 + ], + [ + 66190589, + 10576721 + ], + [ + 55500771, + 42726223 + ], + [ + 82518727, + 28640535 + ], + [ + 5241557, + 73957805 + ], + [ + 94322220, + 31279331 + ], + [ + 49885320, + 24124937 + ], + [ + 33672152, + 31452534 + ], + [ + 60385034, + 72592583 + ], + [ + 20614637, + 66155953 + ], + [ + 50150702, + 94402177 + ], + [ + 82788034, + 76064282 + ], + [ + 83635588, + 24263554 + ], + [ + 20353260, + 3917667 + ], + [ + 53286086, + 12460602 + ], + [ + 60886083, + 9924617 + ], + [ + 96247219, + 53748367 + ], + [ + 79249512, + 69146204 + ], + [ + 8970613, + 33178023 + ], + [ + 6355437, + 11028094 + ], + [ + 25194279, + 36730048 + ], + [ + 57173524, + 66819830 + ], + [ + 53838368, + 87115686 + ], + [ + 172325, + 19862124 + ], + [ + 57804862, + 36719018 + ], + [ + 63593208, + 51501117 + ], + [ + 41806882, + 33547430 + ], + [ + 28337711, + 21436863 + ], + [ + 84342146, + 98471162 + ], + [ + 67320946, + 77453834 + ], + [ + 88121310, + 79980938 + ], + [ + 3238180, + 73716611 + ], + [ + 40644713, + 39487155 + ], + [ + 36649498, + 18734755 + ], + [ + 52689032, + 9775354 + ], + [ + 17316371, + 99789828 + ], + [ + 40240944, + 97704167 + ], + [ + 86180641, + 23304094 + ], + [ + 41337193, + 26231856 + ], + [ + 74412510, + 51168473 + ], + [ + 4617683, + 87541461 + ], + [ + 99962976, + 17645703 + ], + [ + 608685, + 96286961 + ], + [ + 49695774, + 52657821 + ], + [ + 12546480, + 75370788 + ], + [ + 44828109, + 46520135 + ], + [ + 65644907, + 80084816 + ], + [ + 54046423, + 99499886 + ], + [ + 55513249, + 33261830 + ], + [ + 87038639, + 46679260 + ], + [ + 33612267, + 33808296 + ], + [ + 97197202, + 39115195 + ], + [ + 68788999, + 87758715 + ], + [ + 82570919, + 43701623 + ], + [ + 23121419, + 59187848 + ], + [ + 16329016, + 7073556 + ], + [ + 79336920, + 96124864 + ], + [ + 48433664, + 51606066 + ], + [ + 42391671, + 64949496 + ], + [ + 21402716, + 71777481 + ], + [ + 6937432, + 96100971 + ], + [ + 65490743, + 94705637 + ], + [ + 48369617, + 96566088 + ], + [ + 72533534, + 33636074 + ], + [ + 97632460, + 26039878 + ], + [ + 23443293, + 4438437 + ], + [ + 58790600, + 62763705 + ], + [ + 47526985, + 55488775 + ], + [ + 36636208, + 3694563 + ], + [ + 48012333, + 31668412 + ], + [ + 7335023, + 74972315 + ], + [ + 63773980, + 14036396 + ], + [ + 17091037, + 95056191 + ], + [ + 96475170, + 95739572 + ], + [ + 71305624, + 52240672 + ], + [ + 85050065, + 98967793 + ], + [ + 35419823, + 12632174 + ], + [ + 86183653, + 48461122 + ], + [ + 29112772, + 70406058 + ], + [ + 82071694, + 71833951 + ], + [ + 78272235, + 56192554 + ], + [ + 32590319, + 10287128 + ], + [ + 85732689, + 36648703 + ], + [ + 88815651, + 18362161 + ], + [ + 41214328, + 79249217 + ], + [ + 50789248, + 10867170 + ], + [ + 44307667, + 83809274 + ], + [ + 46498867, + 12816118 + ], + [ + 9865678, + 57035680 + ], + [ + 52360233, + 19220554 + ], + [ + 18015203, + 20460222 + ], + [ + 79128061, + 44880608 + ], + [ + 96490799, + 42831894 + ], + [ + 14292814, + 77436864 + ], + [ + 46387855, + 61316979 + ], + [ + 66559340, + 58659525 + ], + [ + 36823218, + 71256477 + ], + [ + 14769806, + 91178654 + ], + [ + 22649658, + 95895405 + ], + [ + 31931379, + 90334522 + ], + [ + 40442457, + 50549078 + ], + [ + 16139645, + 85397539 + ], + [ + 46098244, + 20016007 + ], + [ + 98197009, + 43838028 + ], + [ + 13429150, + 27962462 + ], + [ + 82097661, + 55870502 + ], + [ + 96004128, + 42623200 + ], + [ + 53753023, + 74348351 + ], + [ + 31812016, + 79506837 + ], + [ + 18471215, + 86092433 + ], + [ + 63882829, + 30353440 + ], + [ + 23771417, + 12681172 + ], + [ + 59133490, + 40701513 + ], + [ + 34665778, + 10519310 + ], + [ + 63279343, + 1463895 + ], + [ + 4718122, + 87795715 + ], + [ + 86253752, + 53585204 + ], + [ + 21233449, + 24891287 + ], + [ + 13694038, + 65853562 + ], + [ + 91709233, + 16974480 + ], + [ + 63173293, + 45237394 + ], + [ + 89318136, + 99274512 + ], + [ + 41933895, + 26522516 + ], + [ + 96166831, + 65073683 + ], + [ + 1321513, + 63564455 + ], + [ + 14900089, + 22650550 + ], + [ + 2204619, + 52091379 + ], + [ + 89270524, + 6989031 + ], + [ + 53937632, + 57949804 + ], + [ + 20593594, + 85524731 + ], + [ + 8070731, + 32587904 + ], + [ + 72693384, + 35416988 + ], + [ + 35279810, + 28547328 + ], + [ + 20424218, + 35605424 + ], + [ + 50547830, + 67200036 + ], + [ + 33990970, + 77695686 + ], + [ + 98944336, + 28088880 + ], + [ + 39149252, + 30507704 + ], + [ + 93413132, + 78989938 + ], + [ + 880200, + 60112459 + ], + [ + 60915987, + 89906264 + ], + [ + 69848332, + 41406274 + ], + [ + 69895860, + 90677465 + ], + [ + 30721815, + 30921284 + ], + [ + 12556988, + 91654033 + ], + [ + 48598903, + 82857644 + ], + [ + 40020041, + 24822586 + ], + [ + 8150796, + 39391649 + ], + [ + 20618973, + 74504927 + ], + [ + 41367210, + 97440808 + ], + [ + 69226403, + 511525 + ], + [ + 29230966, + 29305429 + ], + [ + 44497834, + 87733216 + ], + [ + 59629868, + 97769811 + ], + [ + 32565526, + 43833761 + ], + [ + 37549088, + 79187009 + ], + [ + 55885253, + 7061324 + ], + [ + 14381561, + 88357057 + ], + [ + 9141052, + 98134358 + ], + [ + 49016743, + 4614227 + ], + [ + 23017049, + 13385328 + ], + [ + 17756590, + 95323864 + ], + [ + 86824009, + 61791249 + ], + [ + 28743401, + 25562034 + ], + [ + 57322454, + 74256906 + ], + [ + 53277889, + 65729175 + ], + [ + 38815272, + 83085937 + ], + [ + 52625739, + 90677936 + ], + [ + 75151945, + 214908 + ], + [ + 79858345, + 55299974 + ], + [ + 5103591, + 40936290 + ], + [ + 3062970, + 23930265 + ], + [ + 53695018, + 26661802 + ], + [ + 92105618, + 92068337 + ], + [ + 10708115, + 99998135 + ], + [ + 69833330, + 55607769 + ], + [ + 13566563, + 3294136 + ], + [ + 99737889, + 51764424 + ], + [ + 56478682, + 53289809 + ], + [ + 91195322, + 43444054 + ], + [ + 92709901, + 50608698 + ], + [ + 93866253, + 33105518 + ], + [ + 5010202, + 5713037 + ], + [ + 85453206, + 99736786 + ], + [ + 40592291, + 53463698 + ], + [ + 98476468, + 58854070 + ], + [ + 39128858, + 98920056 + ], + [ + 29062978, + 35847585 + ], + [ + 83289623, + 44771319 + ], + [ + 15497102, + 43268668 + ], + [ + 4829320, + 92575288 + ], + [ + 12150648, + 42074780 + ], + [ + 91336685, + 94100407 + ], + [ + 73393439, + 3043403 + ], + [ + 75015492, + 11410098 + ], + [ + 48123206, + 40841281 + ], + [ + 10944407, + 33007588 + ], + [ + 92993255, + 39283657 + ], + [ + 46268641, + 8050526 + ], + [ + 17935999, + 21952180 + ], + [ + 72847060, + 83280663 + ], + [ + 17326379, + 28055437 + ], + [ + 4966285, + 94564459 + ], + [ + 55298105, + 32943722 + ], + [ + 38681661, + 5368180 + ], + [ + 25563575, + 41654376 + ], + [ + 71089766, + 51033985 + ], + [ + 91005440, + 76495210 + ], + [ + 48100498, + 84202507 + ], + [ + 86629712, + 95163214 + ], + [ + 12567075, + 61949865 + ], + [ + 25176351, + 48999212 + ], + [ + 77672284, + 69325844 + ], + [ + 41717571, + 89269068 + ], + [ + 99099423, + 70680928 + ], + [ + 48130758, + 21628328 + ], + [ + 95740930, + 52074886 + ], + [ + 97483035, + 89370783 + ], + [ + 73152857, + 17277646 + ], + [ + 58617852, + 70033121 + ], + [ + 54268893, + 27462498 + ], + [ + 39449329, + 92377469 + ], + [ + 85692394, + 75828355 + ], + [ + 73767482, + 83109656 + ], + [ + 77743021, + 11586397 + ], + [ + 61413620, + 2216456 + ], + [ + 78894826, + 41178291 + ], + [ + 58568127, + 80918796 + ], + [ + 59989254, + 49296013 + ], + [ + 68322733, + 69837496 + ], + [ + 98862616, + 15519795 + ], + [ + 54274344, + 13785776 + ], + [ + 72088243, + 27565407 + ], + [ + 5386297, + 38745384 + ], + [ + 13647311, + 74935323 + ], + [ + 18089378, + 78370539 + ], + [ + 95342209, + 29115939 + ], + [ + 41927019, + 59173618 + ], + [ + 24176551, + 65652392 + ], + [ + 81330308, + 85354209 + ], + [ + 94295588, + 10413888 + ], + [ + 23377998, + 25407069 + ], + [ + 10693927, + 61179917 + ], + [ + 75635411, + 98176031 + ], + [ + 11083473, + 32353690 + ], + [ + 99006678, + 90900631 + ], + [ + 44572474, + 75582575 + ], + [ + 69505037, + 72407033 + ], + [ + 77732978, + 15521490 + ], + [ + 72224911, + 70836335 + ], + [ + 65848401, + 41963918 + ], + [ + 5943054, + 41086943 + ], + [ + 60004127, + 90224118 + ], + [ + 65579031, + 51410773 + ], + [ + 5489072, + 38741943 + ], + [ + 7036299, + 2843006 + ], + [ + 87309359, + 18517482 + ], + [ + 7003077, + 83517963 + ], + [ + 95594832, + 50600962 + ], + [ + 45351344, + 82793965 + ], + [ + 23140526, + 79320373 + ], + [ + 28576266, + 92452614 + ], + [ + 12286706, + 34073896 + ], + [ + 56783298, + 12924311 + ], + [ + 19729122, + 17045999 + ], + [ + 67079078, + 93472374 + ], + [ + 9865837, + 33039709 + ], + [ + 47646469, + 68939178 + ], + [ + 4903854, + 33935706 + ], + [ + 92126608, + 22139599 + ], + [ + 75757761, + 72652196 + ], + [ + 78244173, + 44897328 + ], + [ + 18869560, + 13941878 + ], + [ + 22616597, + 30046851 + ], + [ + 30591476, + 33512879 + ], + [ + 6576816, + 69730609 + ], + [ + 65673289, + 89933233 + ], + [ + 6123682, + 10420205 + ], + [ + 89830957, + 41436127 + ], + [ + 67491294, + 62122698 + ], + [ + 56518079, + 35249321 + ], + [ + 39540145, + 80769541 + ], + [ + 24637108, + 92088878 + ], + [ + 96946774, + 38734160 + ], + [ + 39230557, + 55828572 + ], + [ + 81159708, + 11090571 + ], + [ + 13002481, + 37941073 + ], + [ + 59291834, + 37925927 + ], + [ + 87797387, + 36913013 + ], + [ + 64184943, + 32791240 + ], + [ + 26529165, + 80080115 + ], + [ + 11558811, + 54573338 + ], + [ + 89964217, + 61660139 + ], + [ + 75520565, + 41181146 + ], + [ + 93414534, + 23997427 + ], + [ + 39261137, + 89685908 + ], + [ + 8534441, + 38660147 + ], + [ + 82036775, + 22285252 + ], + [ + 18717455, + 25534743 + ], + [ + 78651089, + 39601151 + ], + [ + 15077944, + 50889086 + ], + [ + 41408364, + 78160635 + ], + [ + 86450085, + 27990776 + ], + [ + 19943308, + 68456567 + ], + [ + 96813333, + 92442415 + ], + [ + 54691724, + 15618451 + ], + [ + 40293073, + 92385241 + ], + [ + 94715429, + 81999238 + ], + [ + 84289538, + 20431013 + ], + [ + 58668467, + 79955211 + ], + [ + 41435040, + 99757183 + ], + [ + 15053144, + 29617555 + ], + [ + 64206414, + 95386777 + ], + [ + 10147918, + 12716660 + ], + [ + 51558403, + 76759092 + ], + [ + 59788645, + 58765311 + ], + [ + 65962569, + 98160887 + ], + [ + 33066639, + 76182974 + ], + [ + 92984016, + 26845760 + ], + [ + 70972840, + 16430567 + ], + [ + 23886593, + 72802325 + ], + [ + 84043017, + 51151225 + ], + [ + 65951963, + 43540916 + ], + [ + 56577159, + 98905710 + ], + [ + 50864710, + 99542828 + ], + [ + 13512988, + 6962947 + ], + [ + 67092839, + 70438058 + ], + [ + 41606744, + 10036934 + ], + [ + 63241894, + 35672838 + ], + [ + 26302740, + 58407655 + ], + [ + 71434429, + 8096 + ], + [ + 64971893, + 62974190 + ], + [ + 78970838, + 11457073 + ], + [ + 27376566, + 87730558 + ], + [ + 45559695, + 8180250 + ], + [ + 67872611, + 19262412 + ], + [ + 93171378, + 87273160 + ], + [ + 71054860, + 32011148 + ], + [ + 4341630, + 43216270 + ], + [ + 62513353, + 66368629 + ], + [ + 99998709, + 87190717 + ], + [ + 41401173, + 32700200 + ], + [ + 45486634, + 62891929 + ], + [ + 96496747, + 35233584 + ], + [ + 24765096, + 40892290 + ], + [ + 75658752, + 25801713 + ], + [ + 14310832, + 15205079 + ], + [ + 83624889, + 65443031 + ], + [ + 23180702, + 54435607 + ], + [ + 73682225, + 20225649 + ], + [ + 17178991, + 42067293 + ], + [ + 11310619, + 17147119 + ], + [ + 65092562, + 72597947 + ], + [ + 90039964, + 61409270 + ], + [ + 8318784, + 10047134 + ], + [ + 9123934, + 6889884 + ], + [ + 57614880, + 98837666 + ], + [ + 91202321, + 96383437 + ], + [ + 74504903, + 56785055 + ], + [ + 87322781, + 16104007 + ], + [ + 78754997, + 50228331 + ], + [ + 43833266, + 99862358 + ], + [ + 51556345, + 68829204 + ], + [ + 25828076, + 54995796 + ], + [ + 82395983, + 45815147 + ], + [ + 6268427, + 5493460 + ], + [ + 11397667, + 47765681 + ], + [ + 55868652, + 34442592 + ], + [ + 41995833, + 30335028 + ], + [ + 14837021, + 14240281 + ], + [ + 56686617, + 54004723 + ], + [ + 97685769, + 99531891 + ], + [ + 702761, + 39215289 + ], + [ + 23804994, + 57547041 + ], + [ + 12847278, + 76789187 + ], + [ + 66506004, + 57780049 + ], + [ + 86720921, + 20773186 + ], + [ + 43270978, + 28844826 + ], + [ + 25299341, + 20221191 + ], + [ + 40647125, + 78909929 + ], + [ + 13950130, + 53671880 + ], + [ + 90119782, + 11404681 + ], + [ + 26222381, + 8966499 + ], + [ + 81188809, + 74221400 + ], + [ + 66657605, + 32715502 + ], + [ + 70050132, + 18861883 + ], + [ + 83699240, + 55545122 + ], + [ + 49465078, + 5977711 + ], + [ + 70145424, + 40499291 + ], + [ + 69441662, + 44485261 + ], + [ + 37460145, + 9805761 + ], + [ + 53985503, + 7821990 + ], + [ + 60326599, + 41270997 + ], + [ + 97107066, + 55233011 + ], + [ + 22729259, + 46112622 + ], + [ + 78562377, + 52510132 + ], + [ + 29265910, + 87457147 + ], + [ + 67721712, + 45856858 + ], + [ + 43817643, + 46435942 + ], + [ + 40474052, + 32630726 + ], + [ + 88197956, + 42848193 + ], + [ + 11711820, + 55641100 + ], + [ + 65035364, + 11410164 + ], + [ + 53078909, + 42823092 + ], + [ + 79281335, + 20953754 + ], + [ + 91266396, + 46647718 + ], + [ + 3116236, + 93762362 + ], + [ + 44219974, + 15290177 + ], + [ + 6649535, + 90623426 + ], + [ + 78391282, + 53148145 + ], + [ + 99797115, + 18012567 + ], + [ + 27206367, + 58680472 + ], + [ + 70525342, + 61278986 + ], + [ + 68504506, + 70063666 + ], + [ + 10738701, + 87381246 + ], + [ + 9905492, + 95484091 + ], + [ + 42524903, + 82651722 + ], + [ + 92647411, + 17634757 + ], + [ + 6855998, + 88219815 + ], + [ + 27575181, + 90374262 + ], + [ + 87766940, + 27681250 + ], + [ + 57256489, + 34653190 + ], + [ + 78592805, + 37577827 + ], + [ + 68446246, + 43753226 + ], + [ + 70328751, + 90752948 + ], + [ + 20338936, + 77291548 + ], + [ + 50122000, + 11965331 + ], + [ + 61731386, + 67948915 + ], + [ + 40527986, + 76446972 + ], + [ + 69905669, + 85278015 + ], + [ + 10313731, + 55877927 + ], + [ + 87467850, + 96950254 + ], + [ + 55138505, + 74629256 + ], + [ + 30970392, + 56185887 + ], + [ + 80198750, + 99965843 + ], + [ + 76659615, + 50860780 + ], + [ + 83071960, + 53414991 + ], + [ + 89251108, + 97629703 + ], + [ + 78691897, + 25467978 + ], + [ + 55917448, + 1375913 + ], + [ + 82555348, + 96314536 + ], + [ + 95957342, + 25114723 + ], + [ + 13681495, + 24746355 + ], + [ + 34498837, + 80128145 + ], + [ + 73079368, + 27184858 + ], + [ + 9923622, + 80947533 + ], + [ + 23428040, + 10215214 + ], + [ + 38395759, + 98570065 + ], + [ + 5746533, + 63248152 + ], + [ + 15011785, + 33692062 + ], + [ + 45069853, + 93972572 + ], + [ + 23526787, + 98632167 + ], + [ + 98527036, + 55945227 + ], + [ + 33091187, + 96002916 + ], + [ + 70574352, + 9909840 + ], + [ + 11872013, + 16382019 + ], + [ + 44138756, + 23072418 + ], + [ + 60227089, + 57208329 + ], + [ + 9294474, + 58327524 + ], + [ + 64858358, + 54974376 + ], + [ + 74371801, + 3663648 + ], + [ + 56746684, + 17934394 + ], + [ + 25076322, + 68984203 + ], + [ + 2252017, + 83703685 + ], + [ + 94774974, + 53485920 + ], + [ + 43294058, + 72722458 + ], + [ + 96022344, + 76114197 + ], + [ + 44952848, + 89442755 + ], + [ + 82369253, + 8381139 + ], + [ + 58460249, + 20736052 + ], + [ + 79895976, + 10088065 + ], + [ + 19787175, + 12952081 + ], + [ + 54028133, + 60663379 + ], + [ + 98230415, + 251679 + ], + [ + 96721680, + 56652840 + ], + [ + 2990754, + 17651446 + ], + [ + 72153555, + 85046486 + ], + [ + 67695621, + 70459386 + ], + [ + 88547041, + 92042797 + ], + [ + 62617573, + 41998704 + ], + [ + 66866490, + 84906691 + ], + [ + 19124665, + 95983227 + ], + [ + 66611897, + 70305685 + ], + [ + 58738007, + 65143626 + ], + [ + 73398535, + 85446596 + ], + [ + 6798727, + 2953829 + ], + [ + 62406289, + 23051325 + ], + [ + 68042412, + 32392180 + ], + [ + 39270882, + 93840834 + ], + [ + 50234529, + 43596543 + ], + [ + 73125196, + 75988198 + ], + [ + 15157622, + 33295592 + ], + [ + 54913897, + 77415886 + ], + [ + 86518698, + 4439794 + ], + [ + 63302243, + 30391188 + ], + [ + 47873592, + 7624567 + ], + [ + 73807136, + 73665082 + ], + [ + 26046815, + 30442230 + ], + [ + 71448879, + 47619074 + ], + [ + 39297373, + 29600311 + ], + [ + 55937766, + 73950806 + ], + [ + 70569808, + 35384325 + ], + [ + 8475017, + 99672271 + ], + [ + 10343448, + 79903967 + ], + [ + 9376625, + 73515953 + ], + [ + 54207239, + 8241170 + ], + [ + 76384364, + 48046819 + ], + [ + 71037842, + 59859752 + ], + [ + 34889682, + 3913691 + ], + [ + 88004353, + 83612878 + ], + [ + 52385961, + 12404046 + ], + [ + 89915781, + 89027526 + ], + [ + 21396461, + 55461158 + ], + [ + 97546690, + 75934669 + ], + [ + 37021177, + 6053913 + ], + [ + 90570041, + 81004106 + ], + [ + 87688915, + 50201242 + ], + [ + 70045723, + 10742522 + ], + [ + 69079438, + 10807323 + ], + [ + 29103463, + 327193 + ], + [ + 29289063, + 97803573 + ], + [ + 59971028, + 29204891 + ], + [ + 24286013, + 55355028 + ], + [ + 66407398, + 47314189 + ], + [ + 23123219, + 54756540 + ], + [ + 37633368, + 51057745 + ], + [ + 9383214, + 57849552 + ], + [ + 35621673, + 57717955 + ], + [ + 76495817, + 703215 + ], + [ + 23255291, + 59495699 + ], + [ + 1249862, + 61836174 + ], + [ + 64225931, + 48826421 + ], + [ + 96281024, + 3104362 + ], + [ + 15984131, + 72582626 + ], + [ + 31185436, + 61944020 + ], + [ + 45933896, + 39215465 + ], + [ + 91961877, + 64653582 + ], + [ + 80607349, + 98030183 + ], + [ + 91540740, + 94939639 + ], + [ + 19724439, + 67612047 + ], + [ + 37460563, + 35092991 + ], + [ + 14566688, + 27068924 + ], + [ + 75192544, + 4904934 + ], + [ + 55662470, + 33158989 + ], + [ + 18381744, + 69935044 + ], + [ + 13767371, + 16673119 + ], + [ + 24846818, + 99164963 + ], + [ + 29977474, + 42339627 + ], + [ + 16094028, + 65219312 + ], + [ + 451950, + 5783573 + ], + [ + 57683394, + 44575984 + ], + [ + 20235614, + 13684374 + ], + [ + 3455357, + 2536852 + ], + [ + 82551635, + 57034028 + ], + [ + 43363484, + 26201131 + ], + [ + 81281887, + 77562917 + ], + [ + 74492004, + 34177126 + ], + [ + 27067995, + 78083985 + ], + [ + 84459438, + 72317484 + ], + [ + 53682840, + 60126633 + ], + [ + 7014740, + 66013229 + ], + [ + 88421520, + 72881444 + ], + [ + 49083482, + 40308024 + ], + [ + 7922035, + 31638674 + ], + [ + 55722786, + 3379942 + ], + [ + 24617966, + 26368974 + ], + [ + 47487319, + 17780644 + ], + [ + 6707429, + 29938579 + ], + [ + 592144, + 24806421 + ], + [ + 31915446, + 71463388 + ], + [ + 84647835, + 87742212 + ], + [ + 8442359, + 46656547 + ], + [ + 89618680, + 99170345 + ], + [ + 1923565, + 81239464 + ], + [ + 57428190, + 4025755 + ], + [ + 23336186, + 40271858 + ], + [ + 14391266, + 4492944 + ], + [ + 44461589, + 17110340 + ], + [ + 28427190, + 60683940 + ], + [ + 97252008, + 80876258 + ], + [ + 31222025, + 75900562 + ], + [ + 41955117, + 89722686 + ], + [ + 97748691, + 88485553 + ], + [ + 10480887, + 60964897 + ], + [ + 35963011, + 61703785 + ], + [ + 1660290, + 95546995 + ], + [ + 10496923, + 25177508 + ], + [ + 8877493, + 83858141 + ], + [ + 5407121, + 31415857 + ], + [ + 93539315, + 43177646 + ], + [ + 70733183, + 80362793 + ], + [ + 16768376, + 9363133 + ], + [ + 95768278, + 10348887 + ], + [ + 80516806, + 44926785 + ], + [ + 92707556, + 75935053 + ], + [ + 89271595, + 69755123 + ], + [ + 23289082, + 41669314 + ], + [ + 40135081, + 20059113 + ], + [ + 721424, + 21398893 + ], + [ + 45407395, + 89691648 + ], + [ + 99879857, + 43851885 + ], + [ + 82401710, + 49454377 + ], + [ + 34020186, + 16217771 + ], + [ + 82321993, + 14331548 + ], + [ + 37256986, + 56110319 + ], + [ + 37567796, + 87558176 + ], + [ + 76846418, + 73617748 + ], + [ + 53523624, + 66529989 + ], + [ + 67784350, + 32633572 + ], + [ + 3415359, + 96039153 + ], + [ + 52644400, + 44449720 + ], + [ + 64955127, + 75411526 + ], + [ + 76373030, + 44155679 + ], + [ + 11566692, + 5013879 + ], + [ + 74904593, + 93154443 + ], + [ + 83035242, + 74959200 + ], + [ + 29227979, + 60788105 + ], + [ + 97744706, + 39482918 + ], + [ + 11704834, + 76381582 + ], + [ + 82421442, + 36861339 + ], + [ + 42659911, + 29180264 + ], + [ + 68880152, + 95878464 + ], + [ + 10950806, + 53805599 + ], + [ + 1051516, + 42875768 + ], + [ + 66442338, + 28391862 + ], + [ + 13980814, + 5187462 + ], + [ + 67264713, + 94865637 + ], + [ + 78073165, + 15454891 + ], + [ + 45714698, + 61742478 + ], + [ + 81561231, + 66618568 + ], + [ + 77064093, + 54313126 + ], + [ + 15204656, + 45562597 + ], + [ + 98374762, + 22978920 + ], + [ + 90786169, + 76746958 + ], + [ + 3687109, + 60393448 + ], + [ + 43668197, + 66566558 + ], + [ + 82346818, + 30319234 + ], + [ + 70828326, + 42693146 + ], + [ + 41152528, + 80908133 + ], + [ + 69529102, + 57057263 + ], + [ + 29536806, + 18021525 + ], + [ + 79684946, + 99472293 + ], + [ + 58387353, + 89671497 + ], + [ + 59295272, + 17446873 + ], + [ + 36489650, + 42332001 + ], + [ + 3754700, + 6991859 + ], + [ + 33391812, + 71652516 + ], + [ + 76514520, + 55355919 + ], + [ + 2576418, + 23365928 + ], + [ + 84780844, + 10071002 + ], + [ + 90772105, + 22396746 + ], + [ + 16282511, + 58697523 + ], + [ + 46879467, + 61440718 + ], + [ + 95501821, + 20666946 + ], + [ + 53742794, + 32056 + ], + [ + 26652490, + 37989818 + ], + [ + 17610136, + 67376092 + ], + [ + 8083819, + 94088278 + ], + [ + 21523251, + 20033686 + ], + [ + 40510557, + 73158815 + ], + [ + 88715157, + 71450859 + ], + [ + 26609340, + 83363564 + ], + [ + 87446680, + 72746893 + ], + [ + 54230747, + 11463586 + ], + [ + 70041542, + 8628606 + ], + [ + 80997009, + 94781824 + ], + [ + 98311219, + 15767480 + ], + [ + 46562304, + 1682721 + ], + [ + 41580314, + 95426712 + ], + [ + 23740693, + 84882534 + ], + [ + 40232951, + 88720474 + ], + [ + 15309593, + 50444830 + ], + [ + 85268214, + 74706986 + ], + [ + 92434707, + 25786318 + ], + [ + 62082824, + 33074000 + ], + [ + 86306139, + 87012201 + ], + [ + 35585247, + 74694267 + ], + [ + 96267734, + 34126733 + ], + [ + 40981452, + 20893251 + ], + [ + 11654091, + 85626824 + ], + [ + 84191206, + 86502670 + ], + [ + 75851991, + 55391950 + ], + [ + 87528084, + 5745717 + ], + [ + 87577925, + 30877681 + ], + [ + 65947405, + 97766025 + ], + [ + 40456499, + 74711725 + ], + [ + 47632462, + 51436969 + ], + [ + 98579538, + 70538346 + ], + [ + 83006161, + 31967799 + ], + [ + 35562949, + 27444014 + ], + [ + 31338145, + 96083970 + ], + [ + 83974329, + 16570402 + ], + [ + 90634709, + 45629404 + ], + [ + 68659536, + 63457483 + ], + [ + 92012714, + 67904808 + ], + [ + 22683988, + 11298426 + ], + [ + 56306850, + 29585545 + ], + [ + 84740202, + 96509005 + ], + [ + 12428111, + 24215630 + ], + [ + 52096210, + 97669881 + ], + [ + 41857528, + 83497197 + ], + [ + 16279612, + 7313815 + ], + [ + 69027212, + 31886459 + ], + [ + 37670016, + 63221057 + ], + [ + 57312165, + 72726360 + ], + [ + 67245523, + 89980078 + ], + [ + 6573872, + 57691935 + ], + [ + 32930380, + 18733210 + ], + [ + 19559158, + 91070356 + ], + [ + 36321408, + 6332733 + ], + [ + 36196588, + 71045039 + ], + [ + 29030124, + 64980452 + ], + [ + 99256882, + 94638598 + ], + [ + 64102968, + 64591804 + ], + [ + 44412075, + 84436962 + ], + [ + 82200509, + 63428106 + ], + [ + 49863225, + 30952746 + ], + [ + 68024918, + 45977605 + ], + [ + 60733956, + 27154072 + ], + [ + 82157046, + 38864693 + ], + [ + 35173006, + 55417632 + ], + [ + 97695944, + 52501170 + ], + [ + 30782442, + 17357982 + ], + [ + 14679208, + 14567011 + ], + [ + 57144963, + 5813368 + ], + [ + 55976466, + 57420930 + ], + [ + 46941155, + 2354063 + ], + [ + 36296177, + 40092174 + ], + [ + 24477420, + 89033975 + ], + [ + 60913695, + 70623686 + ], + [ + 4952476, + 63682010 + ], + [ + 43973854, + 8200120 + ], + [ + 41347068, + 66412799 + ], + [ + 11483915, + 31071779 + ], + [ + 30903459, + 23312059 + ], + [ + 48000698, + 20970200 + ], + [ + 30971811, + 17119575 + ], + [ + 36606880, + 31723968 + ], + [ + 53612811, + 55496843 + ], + [ + 17149602, + 9030915 + ], + [ + 70805272, + 59887224 + ], + [ + 12136357, + 82493713 + ], + [ + 7276726, + 93590655 + ], + [ + 80971515, + 22262514 + ], + [ + 11810824, + 98332890 + ], + [ + 19669457, + 19518476 + ], + [ + 40713061, + 10804056 + ], + [ + 3407700, + 61344863 + ], + [ + 56000644, + 84453534 + ], + [ + 50802957, + 56793495 + ], + [ + 87278640, + 67037415 + ], + [ + 72117606, + 70486250 + ], + [ + 87632587, + 69972212 + ], + [ + 51040122, + 58410978 + ], + [ + 90786611, + 88376711 + ], + [ + 78886634, + 42684441 + ], + [ + 42575120, + 48342722 + ], + [ + 42807646, + 39206949 + ], + [ + 15792246, + 47355502 + ], + [ + 26854044, + 66056226 + ], + [ + 92952932, + 50113941 + ], + [ + 3549484, + 42515598 + ], + [ + 33750072, + 67072958 + ], + [ + 41534903, + 67844408 + ], + [ + 64009107, + 75613907 + ], + [ + 55090972, + 13975046 + ], + [ + 92960858, + 42545885 + ], + [ + 69699780, + 30839143 + ], + [ + 74676149, + 9852404 + ], + [ + 91495297, + 55153967 + ], + [ + 12019667, + 82974412 + ], + [ + 67683940, + 4254281 + ], + [ + 95460126, + 84233733 + ], + [ + 77930967, + 52653850 + ], + [ + 51197567, + 4931510 + ], + [ + 62628580, + 7629848 + ], + [ + 9231856, + 21529849 + ], + [ + 55487284, + 45207920 + ], + [ + 65068099, + 5608153 + ], + [ + 83789368, + 20932649 + ], + [ + 11837565, + 22186135 + ], + [ + 91392215, + 9020707 + ], + [ + 71827827, + 87132681 + ], + [ + 7572440, + 30057512 + ], + [ + 52602343, + 64108778 + ], + [ + 33116542, + 67443761 + ], + [ + 21404632, + 352072 + ], + [ + 21496830, + 25183632 + ], + [ + 68520783, + 44524404 + ], + [ + 98373744, + 16561842 + ], + [ + 78731182, + 82980148 + ], + [ + 69527099, + 52390941 + ], + [ + 21636194, + 59627487 + ], + [ + 17764438, + 57195260 + ], + [ + 25158903, + 77314894 + ], + [ + 7453967, + 32388977 + ], + [ + 50258018, + 58175597 + ], + [ + 26466523, + 71669474 + ], + [ + 88663918, + 98263877 + ], + [ + 42778401, + 39982066 + ], + [ + 73327687, + 91915339 + ], + [ + 40120375, + 97840485 + ], + [ + 29290081, + 73648898 + ], + [ + 27165967, + 6069890 + ], + [ + 13097271, + 80445131 + ], + [ + 29091126, + 71501471 + ], + [ + 18430249, + 75146752 + ], + [ + 64625776, + 81504639 + ], + [ + 8566547, + 9954838 + ], + [ + 20807102, + 66998594 + ], + [ + 40162997, + 19569432 + ], + [ + 86090923, + 45159726 + ], + [ + 89172357, + 47598947 + ], + [ + 42173727, + 65179136 + ], + [ + 64344806, + 57962479 + ], + [ + 24236966, + 44795163 + ], + [ + 64673775, + 34481757 + ], + [ + 73093378, + 67665872 + ], + [ + 64041097, + 84182510 + ], + [ + 34882843, + 95118573 + ], + [ + 25123452, + 85464360 + ], + [ + 39430463, + 84052502 + ], + [ + 30201854, + 89449076 + ], + [ + 69916264, + 71255885 + ], + [ + 84307670, + 53437658 + ], + [ + 21583562, + 30019001 + ], + [ + 83236316, + 78689352 + ], + [ + 44091452, + 88358960 + ], + [ + 94305391, + 77512358 + ], + [ + 40388483, + 60706444 + ], + [ + 99161272, + 4083715 + ], + [ + 34371906, + 92047824 + ], + [ + 20027402, + 56134364 + ], + [ + 12470567, + 45136107 + ], + [ + 25322761, + 12445461 + ], + [ + 89678637, + 86853363 + ], + [ + 10438099, + 33120326 + ], + [ + 37687234, + 70048706 + ], + [ + 61289003, + 17581262 + ], + [ + 40710006, + 20518854 + ], + [ + 51230740, + 44897938 + ], + [ + 60939805, + 32773131 + ], + [ + 35018939, + 15059557 + ], + [ + 10030668, + 51125028 + ], + [ + 12049897, + 87291030 + ], + [ + 75356875, + 32827770 + ], + [ + 67522666, + 31070575 + ], + [ + 47145431, + 34134669 + ], + [ + 9855117, + 2758384 + ], + [ + 4724668, + 18439525 + ], + [ + 79010338, + 52983150 + ], + [ + 39301859, + 39963076 + ], + [ + 23761404, + 74550517 + ], + [ + 21530658, + 73024085 + ], + [ + 67348163, + 32627487 + ], + [ + 220532, + 93734299 + ], + [ + 51629394, + 99928391 + ], + [ + 35628953, + 22159763 + ], + [ + 34998570, + 47156537 + ], + [ + 4801452, + 15725647 + ], + [ + 78151909, + 10610708 + ], + [ + 91527343, + 9164160 + ], + [ + 40604745, + 34045378 + ], + [ + 80920201, + 2288253 + ], + [ + 50181559, + 91281282 + ], + [ + 95601339, + 23583213 + ], + [ + 80944247, + 40420463 + ], + [ + 17500788, + 31144692 + ], + [ + 87037470, + 40971089 + ], + [ + 70113541, + 34454062 + ], + [ + 40950221, + 74777480 + ], + [ + 40625413, + 31872281 + ], + [ + 25668633, + 31436668 + ], + [ + 49765224, + 78538063 + ], + [ + 85122979, + 55123176 + ], + [ + 33977959, + 13806700 + ], + [ + 602048, + 25700512 + ], + [ + 81061694, + 79999769 + ], + [ + 20365011, + 68328234 + ], + [ + 87810045, + 44257041 + ], + [ + 73376232, + 10011949 + ], + [ + 38189958, + 51361036 + ], + [ + 38393828, + 9270203 + ], + [ + 22588079, + 56785223 + ], + [ + 54607299, + 40181783 + ], + [ + 59879330, + 82914495 + ], + [ + 84306243, + 31254767 + ], + [ + 49957236, + 84907201 + ], + [ + 79002912, + 66113118 + ], + [ + 66895375, + 884714 + ], + [ + 8872740, + 58611174 + ], + [ + 72674740, + 84601400 + ], + [ + 55141969, + 74450698 + ], + [ + 8668639, + 80152182 + ], + [ + 81505821, + 57313808 + ], + [ + 74320364, + 49165079 + ], + [ + 4226775, + 91883263 + ], + [ + 26010692, + 29514861 + ], + [ + 53045663, + 69725774 + ], + [ + 86540992, + 53741052 + ], + [ + 41469814, + 14588943 + ], + [ + 86441901, + 67490367 + ], + [ + 41295257, + 35032597 + ], + [ + 89562693, + 60939312 + ], + [ + 4742084, + 7314411 + ], + [ + 83412219, + 14159953 + ], + [ + 6065477, + 30306241 + ], + [ + 87630510, + 99500494 + ], + [ + 35325907, + 67818467 + ], + [ + 79965720, + 5416856 + ], + [ + 32678786, + 67607554 + ], + [ + 61209113, + 47865809 + ], + [ + 87841418, + 18137867 + ], + [ + 93642392, + 72499454 + ], + [ + 3933450, + 23133541 + ], + [ + 76878074, + 55918691 + ], + [ + 89196834, + 6077863 + ], + [ + 59329431, + 62797571 + ], + [ + 80237205, + 56145361 + ], + [ + 66930734, + 44387436 + ], + [ + 26313336, + 94462685 + ], + [ + 70734903, + 23360825 + ], + [ + 24403677, + 55312704 + ], + [ + 49778802, + 83073589 + ], + [ + 39682924, + 9016062 + ], + [ + 60114756, + 30080648 + ], + [ + 32316266, + 15809186 + ], + [ + 45597361, + 19485890 + ], + [ + 43208057, + 13010442 + ], + [ + 36579886, + 18970221 + ], + [ + 4391029, + 14637468 + ], + [ + 5735047, + 15912038 + ], + [ + 25684600, + 11225957 + ], + [ + 42230688, + 63734893 + ], + [ + 78469774, + 25719022 + ], + [ + 67163415, + 56275671 + ], + [ + 87666420, + 37564660 + ], + [ + 82493848, + 46843759 + ], + [ + 96658331, + 89700870 + ], + [ + 83568093, + 64620555 + ], + [ + 48221605, + 96940998 + ], + [ + 44037140, + 7902484 + ], + [ + 4817509, + 68905610 + ], + [ + 6360783, + 11870113 + ], + [ + 28821255, + 22994503 + ], + [ + 19797061, + 80363646 + ], + [ + 92504700, + 35960103 + ], + [ + 6002737, + 84018623 + ], + [ + 51185459, + 29796173 + ], + [ + 34020941, + 83620078 + ], + [ + 35297087, + 95399347 + ], + [ + 67854242, + 81087512 + ], + [ + 93786094, + 91737580 + ], + [ + 32745699, + 71367218 + ], + [ + 61247721, + 40157639 + ], + [ + 28325767, + 41800189 + ], + [ + 52225673, + 35610889 + ], + [ + 56824656, + 19460091 + ], + [ + 73035419, + 17522980 + ], + [ + 72818949, + 98844820 + ], + [ + 99317185, + 82162756 + ], + [ + 84160427, + 51362848 + ], + [ + 63826309, + 90554867 + ], + [ + 42144744, + 46589351 + ], + [ + 33153145, + 74860043 + ], + [ + 11781651, + 4894225 + ], + [ + 44830525, + 76005159 + ], + [ + 52614502, + 34239980 + ], + [ + 14863450, + 28207315 + ], + [ + 48642719, + 31624569 + ], + [ + 30910894, + 82925725 + ], + [ + 2249438, + 35174560 + ], + [ + 83768271, + 93700589 + ], + [ + 3858942, + 6513146 + ], + [ + 39691003, + 63073360 + ], + [ + 24925368, + 50012888 + ], + [ + 85081395, + 53872396 + ], + [ + 10933869, + 36965915 + ], + [ + 86603004, + 7775133 + ], + [ + 75454022, + 94883923 + ], + [ + 12604189, + 92556410 + ], + [ + 93818503, + 20536985 + ], + [ + 20205844, + 5397071 + ], + [ + 82613505, + 13163798 + ], + [ + 47803842, + 32450871 + ], + [ + 76053063, + 19388373 + ], + [ + 83869941, + 66703199 + ], + [ + 33962047, + 86446521 + ], + [ + 21231971, + 50731279 + ], + [ + 20434885, + 58052928 + ], + [ + 87878399, + 48730411 + ], + [ + 44776115, + 97608375 + ], + [ + 58260881, + 27672260 + ], + [ + 3987605, + 75195738 + ], + [ + 6480323, + 71490702 + ], + [ + 7277336, + 77730927 + ], + [ + 57291147, + 15404308 + ], + [ + 25454573, + 72796634 + ], + [ + 90407050, + 20306546 + ], + [ + 10533967, + 48226778 + ], + [ + 80312068, + 14312320 + ], + [ + 31026163, + 57575209 + ], + [ + 4952242, + 57920191 + ], + [ + 24348436, + 21553208 + ], + [ + 96893508, + 51170827 + ], + [ + 10734085, + 75761527 + ], + [ + 66040536, + 67448930 + ], + [ + 33360080, + 84614234 + ], + [ + 56602287, + 29914037 + ], + [ + 6774181, + 60138625 + ], + [ + 5270613, + 94136086 + ], + [ + 11313981, + 84992004 + ], + [ + 1063360, + 42977913 + ], + [ + 94915723, + 33086180 + ], + [ + 47042582, + 41166156 + ], + [ + 85709261, + 97526808 + ], + [ + 94440265, + 19572094 + ], + [ + 80091869, + 5844982 + ], + [ + 15221590, + 17909753 + ], + [ + 52775794, + 1179556 + ], + [ + 44844202, + 91509812 + ], + [ + 94234653, + 7849885 + ], + [ + 17463494, + 25194944 + ], + [ + 89233492, + 20235220 + ], + [ + 40394735, + 20352873 + ], + [ + 47111828, + 90082984 + ], + [ + 81699549, + 61169516 + ], + [ + 26887419, + 61431430 + ], + [ + 18500856, + 92517460 + ], + [ + 45127230, + 96661966 + ], + [ + 79165945, + 61768966 + ], + [ + 23179555, + 62450482 + ], + [ + 88124550, + 77035693 + ], + [ + 28864120, + 6878859 + ], + [ + 44913993, + 56271273 + ], + [ + 45998841, + 10022029 + ], + [ + 92287515, + 36394159 + ], + [ + 18844959, + 38979217 + ], + [ + 19393581, + 42942687 + ], + [ + 66439869, + 70779035 + ], + [ + 17385923, + 12535626 + ], + [ + 27045692, + 39098037 + ], + [ + 1740451, + 57606104 + ], + [ + 5690414, + 41492302 + ], + [ + 1097067, + 87716238 + ], + [ + 30336648, + 97983488 + ], + [ + 23530735, + 51266716 + ], + [ + 34738406, + 39467377 + ], + [ + 54675099, + 23159933 + ], + [ + 35271939, + 36718433 + ], + [ + 53407327, + 44313682 + ], + [ + 46400228, + 48688689 + ], + [ + 95880900, + 622640 + ], + [ + 79655612, + 21898942 + ], + [ + 58546363, + 64038070 + ], + [ + 6582860, + 27002338 + ], + [ + 42420947, + 40333515 + ], + [ + 18513339, + 56948931 + ], + [ + 22741830, + 29235531 + ], + [ + 90626061, + 73292651 + ], + [ + 97148754, + 46933547 + ], + [ + 4604291, + 73791523 + ], + [ + 54976154, + 75286629 + ], + [ + 94961793, + 62817827 + ], + [ + 48630219, + 31882641 + ], + [ + 83126759, + 78153483 + ], + [ + 67170753, + 28847138 + ], + [ + 81261252, + 35902620 + ], + [ + 91104103, + 99493571 + ], + [ + 87291099, + 69576881 + ], + [ + 31885889, + 33962088 + ], + [ + 36669043, + 7491174 + ], + [ + 35989187, + 12740819 + ], + [ + 47908266, + 80702425 + ], + [ + 34141340, + 74534174 + ], + [ + 9245657, + 49106316 + ], + [ + 63841610, + 19069751 + ], + [ + 33864874, + 56514497 + ], + [ + 56924226, + 94023290 + ], + [ + 86417227, + 44690873 + ], + [ + 57588828, + 9786514 + ], + [ + 86488827, + 84747864 + ], + [ + 13003112, + 46278281 + ], + [ + 11457091, + 96179032 + ], + [ + 46051122, + 15423442 + ], + [ + 32879693, + 8241557 + ], + [ + 42974259, + 7960073 + ], + [ + 64455090, + 88588779 + ], + [ + 512373, + 76523013 + ], + [ + 45682218, + 84456578 + ], + [ + 80503034, + 34645704 + ], + [ + 31810046, + 18552012 + ], + [ + 99171120, + 6032956 + ], + [ + 63128865, + 30497701 + ], + [ + 21836740, + 27249256 + ], + [ + 71017744, + 41426803 + ], + [ + 38825400, + 13399574 + ], + [ + 14772740, + 32207180 + ], + [ + 60676543, + 73526323 + ], + [ + 13514911, + 52640346 + ], + [ + 31968523, + 9746060 + ], + [ + 45758358, + 34783005 + ], + [ + 61538817, + 29387177 + ], + [ + 27923382, + 33919952 + ], + [ + 75725093, + 1170934 + ], + [ + 41568884, + 48922763 + ], + [ + 90593040, + 87018234 + ], + [ + 35828944, + 2502830 + ], + [ + 38971298, + 27096073 + ], + [ + 56589751, + 40330627 + ], + [ + 85434229, + 79380097 + ], + [ + 74127167, + 11533278 + ], + [ + 80547431, + 23733677 + ], + [ + 55426040, + 30165731 + ], + [ + 14499800, + 60986104 + ], + [ + 64161109, + 37575521 + ], + [ + 10294282, + 26552137 + ], + [ + 62498279, + 87124332 + ], + [ + 21684793, + 90820985 + ], + [ + 78883529, + 42637003 + ], + [ + 91936682, + 35613753 + ], + [ + 62018493, + 3511321 + ], + [ + 30144446, + 92677328 + ], + [ + 52595838, + 60118050 + ], + [ + 39854065, + 29535195 + ], + [ + 54327721, + 31342061 + ], + [ + 4499980, + 55293303 + ], + [ + 78431261, + 86312039 + ], + [ + 57019331, + 15444717 + ], + [ + 96332878, + 58674324 + ], + [ + 95032579, + 31318075 + ], + [ + 14366320, + 51851397 + ], + [ + 83919457, + 38817030 + ], + [ + 24400027, + 60126482 + ], + [ + 34677884, + 55578378 + ], + [ + 88600671, + 82992552 + ], + [ + 48512359, + 12574514 + ], + [ + 40002169, + 10245158 + ], + [ + 55906030, + 20676158 + ], + [ + 72868418, + 86309597 + ], + [ + 52117512, + 17544734 + ], + [ + 8015145, + 79105219 + ], + [ + 38366750, + 76890828 + ], + [ + 15872491, + 11738888 + ], + [ + 17787150, + 26353030 + ], + [ + 9647154, + 93818988 + ], + [ + 82084342, + 3209463 + ], + [ + 59858467, + 36699093 + ], + [ + 47215748, + 93070391 + ], + [ + 79973202, + 4927344 + ], + [ + 49735424, + 61975900 + ], + [ + 73189731, + 69775423 + ], + [ + 77096775, + 11385214 + ], + [ + 67281131, + 17979130 + ], + [ + 5383759, + 17870712 + ], + [ + 68695345, + 4536852 + ], + [ + 98943214, + 17637933 + ], + [ + 88745564, + 78140269 + ], + [ + 88430716, + 84111304 + ], + [ + 62439734, + 67682814 + ], + [ + 4575545, + 57550204 + ], + [ + 24811184, + 1040630 + ], + [ + 50269412, + 22033143 + ], + [ + 55621208, + 36816704 + ], + [ + 43209954, + 80648835 + ], + [ + 95147974, + 9301560 + ], + [ + 64140676, + 83037514 + ], + [ + 4667847, + 83812167 + ], + [ + 20043777, + 45498131 + ], + [ + 71752011, + 83277816 + ], + [ + 25893737, + 46286061 + ], + [ + 75102357, + 2971029 + ], + [ + 93220064, + 14727067 + ], + [ + 34445201, + 23952367 + ], + [ + 21703104, + 96855724 + ], + [ + 143347, + 73851345 + ], + [ + 36882819, + 48587702 + ], + [ + 41679821, + 37509799 + ], + [ + 86420861, + 35410554 + ], + [ + 36135230, + 96836230 + ], + [ + 22158160, + 97084311 + ], + [ + 11820916, + 44195022 + ], + [ + 78705858, + 88615566 + ], + [ + 3997358, + 17217336 + ], + [ + 54418483, + 57896546 + ], + [ + 22691068, + 97200332 + ], + [ + 86205156, + 57823855 + ], + [ + 84912001, + 59942301 + ], + [ + 8899699, + 2083174 + ], + [ + 99352205, + 13840271 + ], + [ + 77904678, + 60932304 + ], + [ + 93104800, + 60218780 + ], + [ + 61382252, + 91119085 + ], + [ + 27792625, + 45161440 + ], + [ + 93727554, + 54530195 + ], + [ + 45444839, + 25795087 + ], + [ + 17370281, + 15757842 + ], + [ + 84051993, + 58140760 + ], + [ + 52706363, + 55761923 + ], + [ + 52408412, + 55512144 + ], + [ + 76357930, + 10525013 + ], + [ + 82938286, + 76847797 + ], + [ + 74262939, + 25444552 + ], + [ + 52200006, + 23055988 + ], + [ + 66690618, + 93716552 + ], + [ + 61642170, + 88628958 + ], + [ + 78301397, + 28272207 + ], + [ + 11203812, + 63747831 + ], + [ + 67364583, + 28210868 + ], + [ + 17545350, + 97493199 + ], + [ + 69187122, + 52603639 + ], + [ + 14219878, + 59070427 + ], + [ + 16249423, + 16201457 + ], + [ + 36023384, + 33587333 + ], + [ + 98576800, + 4618201 + ], + [ + 61881488, + 12641469 + ], + [ + 7261545, + 85593941 + ], + [ + 64200541, + 95730304 + ], + [ + 28011861, + 79479572 + ], + [ + 34474929, + 21230693 + ], + [ + 12284658, + 95092185 + ], + [ + 64208404, + 32003454 + ], + [ + 54439144, + 43375404 + ], + [ + 10480290, + 45702214 + ], + [ + 18040150, + 51730177 + ], + [ + 92153509, + 54955799 + ], + [ + 42020099, + 23811362 + ], + [ + 84669740, + 63647548 + ], + [ + 5870227, + 94567471 + ], + [ + 74569028, + 35921810 + ], + [ + 7985698, + 65999449 + ], + [ + 55168274, + 76790691 + ], + [ + 92862285, + 36476303 + ], + [ + 99846463, + 2444075 + ], + [ + 39197188, + 20970323 + ], + [ + 2158870, + 36482694 + ], + [ + 46913599, + 74956857 + ], + [ + 56519860, + 62289608 + ], + [ + 59141526, + 85417863 + ], + [ + 37305076, + 68319694 + ], + [ + 96078413, + 60841033 + ], + [ + 91181932, + 35232521 + ], + [ + 51547826, + 57314596 + ], + [ + 84306166, + 48517712 + ], + [ + 11504658, + 85048061 + ], + [ + 55343597, + 95848670 + ], + [ + 36107937, + 45279468 + ], + [ + 40224885, + 20385544 + ], + [ + 39303160, + 16764083 + ], + [ + 40020365, + 91976700 + ], + [ + 57599636, + 62553151 + ], + [ + 43459848, + 36707052 + ], + [ + 82930775, + 7475223 + ], + [ + 42758775, + 80458337 + ], + [ + 84329139, + 42648153 + ], + [ + 66217546, + 19118798 + ], + [ + 15356853, + 27574260 + ], + [ + 18245155, + 96372400 + ], + [ + 56119862, + 40870599 + ], + [ + 49473791, + 12469573 + ], + [ + 7720011, + 89718986 + ], + [ + 78138313, + 44528162 + ], + [ + 38058626, + 46027457 + ], + [ + 65672599, + 75420294 + ], + [ + 45441964, + 68130677 + ], + [ + 13639537, + 76225781 + ], + [ + 35920704, + 19460677 + ], + [ + 57947319, + 19415312 + ], + [ + 79573625, + 8850639 + ], + [ + 26443724, + 91808500 + ], + [ + 38586669, + 81141106 + ], + [ + 6014552, + 42393662 + ], + [ + 92782514, + 55077351 + ], + [ + 81582250, + 86520414 + ], + [ + 17167859, + 54770885 + ], + [ + 7545444, + 52285525 + ], + [ + 93914118, + 75746038 + ], + [ + 69166385, + 2414240 + ], + [ + 90290472, + 97311478 + ], + [ + 45014277, + 69351692 + ], + [ + 64470764, + 91103672 + ], + [ + 25051719, + 727436 + ], + [ + 86978713, + 77502351 + ], + [ + 84518747, + 79936367 + ], + [ + 41300361, + 92950842 + ], + [ + 30254059, + 82308213 + ], + [ + 98912478, + 22530133 + ], + [ + 21385995, + 11987026 + ], + [ + 71553303, + 7515904 + ], + [ + 91669229, + 10554751 + ], + [ + 17283397, + 99064882 + ], + [ + 32898600, + 15439154 + ], + [ + 3075762, + 72091898 + ], + [ + 8365033, + 67853876 + ], + [ + 49283395, + 27578072 + ], + [ + 53562311, + 9387897 + ], + [ + 98958107, + 22654241 + ], + [ + 40140303, + 34368219 + ], + [ + 53504757, + 25063498 + ], + [ + 52845530, + 8391804 + ], + [ + 15973981, + 40091922 + ], + [ + 63725036, + 53778941 + ], + [ + 7840772, + 69761674 + ], + [ + 51642408, + 8085656 + ], + [ + 68026780, + 26606185 + ], + [ + 78751851, + 87544002 + ], + [ + 4272256, + 54252661 + ], + [ + 87578403, + 47057126 + ], + [ + 63944052, + 37285324 + ], + [ + 26384485, + 37764150 + ], + [ + 13678976, + 71313625 + ], + [ + 67306763, + 72127031 + ], + [ + 8252344, + 34680627 + ], + [ + 44652012, + 57445361 + ], + [ + 63510938, + 11547774 + ], + [ + 12260815, + 94676819 + ], + [ + 47008325, + 90659453 + ], + [ + 68592387, + 18699226 + ], + [ + 93464449, + 98858865 + ], + [ + 53222479, + 40741236 + ], + [ + 19602758, + 82983276 + ], + [ + 63345961, + 72517440 + ], + [ + 23082117, + 3457701 + ], + [ + 15878572, + 46370679 + ], + [ + 92803146, + 526603 + ], + [ + 9542243, + 44778555 + ], + [ + 95514681, + 28560526 + ], + [ + 8507939, + 9813004 + ], + [ + 57325982, + 13555416 + ], + [ + 95491682, + 8945164 + ], + [ + 42893516, + 36746236 + ], + [ + 13442808, + 64288971 + ], + [ + 23656988, + 47762463 + ], + [ + 99274370, + 20399009 + ], + [ + 10270242, + 70426313 + ], + [ + 36300771, + 84048292 + ], + [ + 68745293, + 81490326 + ], + [ + 38989888, + 42333887 + ], + [ + 98304177, + 16399375 + ], + [ + 39538754, + 52668152 + ], + [ + 48690249, + 93029241 + ], + [ + 97364467, + 60846734 + ], + [ + 65897561, + 7104299 + ], + [ + 23262600, + 42858745 + ], + [ + 98871614, + 67669131 + ], + [ + 65412168, + 28506256 + ], + [ + 5419850, + 82469831 + ], + [ + 43886527, + 34984639 + ], + [ + 35542360, + 14901026 + ], + [ + 73829296, + 52006516 + ], + [ + 19157449, + 74223533 + ], + [ + 36735513, + 69222218 + ], + [ + 16027956, + 98360663 + ], + [ + 66014226, + 71371562 + ], + [ + 30554217, + 95192132 + ], + [ + 45281359, + 16737103 + ], + [ + 45688880, + 72414241 + ], + [ + 86270667, + 81398101 + ], + [ + 96561381, + 67076386 + ], + [ + 46819091, + 44969119 + ], + [ + 12758459, + 4159121 + ], + [ + 82162965, + 28794584 + ], + [ + 99537929, + 9189230 + ], + [ + 47640228, + 31032865 + ], + [ + 26685970, + 57611342 + ], + [ + 54315290, + 57585592 + ], + [ + 74366032, + 92806538 + ], + [ + 88249526, + 47151616 + ], + [ + 66956439, + 3312143 + ], + [ + 88828960, + 2138484 + ], + [ + 2751658, + 3363240 + ], + [ + 79857264, + 94448196 + ], + [ + 22390430, + 1470107 + ], + [ + 69298905, + 93886383 + ], + [ + 15785171, + 28828817 + ], + [ + 13808334, + 5403782 + ], + [ + 22480008, + 81136586 + ], + [ + 52914026, + 46849331 + ], + [ + 20751559, + 4276529 + ], + [ + 26341159, + 63216276 + ], + [ + 2387437, + 12027203 + ], + [ + 1952317, + 70322787 + ], + [ + 86904091, + 97860961 + ], + [ + 46779212, + 41013865 + ], + [ + 36360865, + 66157866 + ], + [ + 41020722, + 54530134 + ], + [ + 81911674, + 54304833 + ], + [ + 25407485, + 95985525 + ], + [ + 76029260, + 96245350 + ], + [ + 94159266, + 42841659 + ], + [ + 78415629, + 20383474 + ], + [ + 49733047, + 16564360 + ], + [ + 91093421, + 45648422 + ], + [ + 93680055, + 81402150 + ], + [ + 14822827, + 84815586 + ], + [ + 51193615, + 38665129 + ], + [ + 61952365, + 61360363 + ], + [ + 6225587, + 51275918 + ], + [ + 95550062, + 88921613 + ], + [ + 96400267, + 96946222 + ], + [ + 42858817, + 34863333 + ], + [ + 75322648, + 75313760 + ], + [ + 24644324, + 38288334 + ], + [ + 6013997, + 29981442 + ], + [ + 61086465, + 86472237 + ], + [ + 23239314, + 95051588 + ], + [ + 47680808, + 81155560 + ], + [ + 23701543, + 52443806 + ], + [ + 46293216, + 38032523 + ], + [ + 46756459, + 5005156 + ], + [ + 29732594, + 76260852 + ], + [ + 23459244, + 36998317 + ], + [ + 11807719, + 63963899 + ], + [ + 24247135, + 84706080 + ], + [ + 47558235, + 90383121 + ], + [ + 25907205, + 40858872 + ], + [ + 82600159, + 11317146 + ], + [ + 14112176, + 55794950 + ], + [ + 952475, + 50150992 + ], + [ + 79464054, + 24076037 + ], + [ + 9789261, + 24511693 + ], + [ + 72546988, + 50235559 + ], + [ + 43703982, + 48376897 + ], + [ + 81775944, + 57446537 + ], + [ + 19750670, + 63420478 + ], + [ + 90803682, + 99555567 + ], + [ + 62755858, + 89577670 + ], + [ + 72678953, + 54918331 + ], + [ + 89486612, + 48848161 + ], + [ + 53595648, + 76072846 + ], + [ + 25530351, + 16035022 + ], + [ + 79275423, + 65550646 + ], + [ + 40964934, + 94337318 + ], + [ + 8297544, + 47070794 + ], + [ + 60766335, + 83871021 + ], + [ + 75126715, + 99574382 + ], + [ + 34489577, + 27809924 + ], + [ + 81701802, + 7991631 + ], + [ + 90871126, + 99834181 + ], + [ + 75357229, + 20447719 + ], + [ + 25409835, + 15306822 + ], + [ + 34282357, + 56228138 + ], + [ + 46503682, + 11620421 + ], + [ + 47987935, + 19823993 + ], + [ + 84307318, + 33254175 + ], + [ + 5399860, + 73848420 + ], + [ + 4219458, + 70053004 + ], + [ + 24976916, + 725173 + ], + [ + 75012966, + 37722022 + ], + [ + 39806688, + 473373 + ], + [ + 24539877, + 54665161 + ], + [ + 22494612, + 62244139 + ], + [ + 38768144, + 27164141 + ], + [ + 58156968, + 75390467 + ], + [ + 36655903, + 82113374 + ], + [ + 74754804, + 87622484 + ], + [ + 38171892, + 93692032 + ], + [ + 71707786, + 65635216 + ], + [ + 59944355, + 17390272 + ], + [ + 20412015, + 35394919 + ], + [ + 58786211, + 81258770 + ], + [ + 69002055, + 65200286 + ], + [ + 53708110, + 50532209 + ], + [ + 70310469, + 54292472 + ], + [ + 26204948, + 63901852 + ], + [ + 40549922, + 71058614 + ], + [ + 78022251, + 47920888 + ], + [ + 59152116, + 72758590 + ], + [ + 68781902, + 78131377 + ], + [ + 89082984, + 44005965 + ], + [ + 86146321, + 36901962 + ], + [ + 45976515, + 95865947 + ], + [ + 35017362, + 56902424 + ], + [ + 98768031, + 15036810 + ], + [ + 21548948, + 73236968 + ], + [ + 97050531, + 75177396 + ], + [ + 9161696, + 6438009 + ], + [ + 648400, + 28724844 + ], + [ + 10424732, + 67187850 + ], + [ + 41795364, + 22563285 + ], + [ + 50809943, + 50487003 + ], + [ + 73823140, + 81409288 + ], + [ + 15714839, + 71796815 + ], + [ + 38175691, + 80862141 + ], + [ + 41235874, + 75076044 + ], + [ + 72090763, + 40537420 + ], + [ + 80622522, + 45682801 + ], + [ + 7069724, + 61017521 + ], + [ + 36892966, + 83840263 + ], + [ + 85176382, + 48085163 + ], + [ + 85903179, + 21010286 + ], + [ + 97436706, + 92522319 + ], + [ + 60804811, + 37051255 + ], + [ + 95274883, + 36959690 + ], + [ + 83204280, + 64310752 + ], + [ + 10573013, + 77084692 + ], + [ + 9578045, + 36375272 + ], + [ + 34087527, + 25247575 + ], + [ + 12883741, + 88185481 + ], + [ + 5071754, + 36236468 + ], + [ + 47415204, + 77276579 + ], + [ + 82609364, + 94964215 + ], + [ + 97261114, + 3698965 + ], + [ + 44159337, + 33808443 + ], + [ + 17030816, + 1121426 + ], + [ + 15388396, + 84462944 + ], + [ + 99400454, + 63285048 + ], + [ + 36871364, + 86378994 + ], + [ + 70433545, + 6230121 + ], + [ + 17982449, + 60145472 + ], + [ + 73816779, + 82951699 + ], + [ + 79594045, + 36631859 + ], + [ + 53697579, + 27629991 + ], + [ + 52800386, + 60449884 + ], + [ + 89256500, + 91469971 + ], + [ + 6208542, + 50079709 + ], + [ + 80111591, + 26320865 + ], + [ + 99879501, + 40291421 + ], + [ + 82474062, + 92819607 + ], + [ + 20228097, + 65202203 + ], + [ + 26151141, + 14802607 + ], + [ + 87100200, + 95582647 + ], + [ + 18649204, + 6003781 + ], + [ + 92979921, + 99551547 + ], + [ + 95311581, + 6510425 + ], + [ + 67059430, + 82982765 + ], + [ + 31770885, + 28994563 + ], + [ + 51325061, + 30033105 + ], + [ + 22325040, + 11795805 + ], + [ + 95770671, + 15524924 + ], + [ + 764515, + 9846414 + ], + [ + 21905223, + 28871790 + ], + [ + 7977588, + 21888600 + ], + [ + 52624543, + 66794386 + ], + [ + 27592316, + 19651004 + ], + [ + 34056999, + 40692355 + ], + [ + 80432192, + 99832740 + ], + [ + 34197862, + 87744196 + ], + [ + 42595040, + 29839632 + ], + [ + 58444888, + 89759382 + ], + [ + 59117136, + 93688867 + ], + [ + 7029883, + 30256082 + ], + [ + 99775151, + 37381604 + ], + [ + 95165523, + 10633999 + ], + [ + 45774087, + 69175416 + ], + [ + 87336275, + 13967008 + ], + [ + 75343637, + 47509380 + ], + [ + 17092966, + 33893989 + ], + [ + 96878465, + 8443070 + ], + [ + 6587038, + 35868771 + ], + [ + 61950793, + 95995486 + ], + [ + 36981719, + 83185507 + ], + [ + 16971675, + 62474604 + ], + [ + 87702873, + 80877336 + ], + [ + 36090494, + 70807167 + ], + [ + 30552048, + 30589439 + ], + [ + 1591787, + 44653501 + ], + [ + 3173207, + 21432669 + ], + [ + 46266157, + 6699617 + ], + [ + 38175307, + 57823822 + ], + [ + 32820432, + 91070336 + ], + [ + 71561428, + 16413116 + ], + [ + 55247896, + 37397642 + ], + [ + 36821637, + 32312805 + ], + [ + 31360971, + 44413142 + ], + [ + 43259585, + 83981618 + ], + [ + 71109422, + 2735147 + ], + [ + 25581452, + 57389047 + ], + [ + 15060877, + 95782634 + ], + [ + 95741403, + 54916996 + ], + [ + 58324499, + 76916304 + ], + [ + 8975227, + 4710578 + ], + [ + 14363380, + 32781673 + ], + [ + 9656855, + 92094459 + ], + [ + 83390957, + 61197634 + ], + [ + 59627133, + 72877378 + ], + [ + 32541188, + 88434136 + ], + [ + 47083487, + 4410661 + ], + [ + 37849055, + 45298599 + ], + [ + 44323787, + 66037821 + ], + [ + 33376887, + 90023662 + ], + [ + 52882753, + 65970596 + ], + [ + 30962922, + 12269442 + ], + [ + 84841726, + 15556213 + ], + [ + 69821126, + 63523197 + ], + [ + 94839496, + 82475924 + ], + [ + 41448119, + 24524584 + ], + [ + 1994891, + 9680751 + ], + [ + 15120168, + 13938933 + ], + [ + 69235384, + 48266321 + ], + [ + 19726523, + 90418556 + ], + [ + 72147211, + 48744240 + ], + [ + 84864105, + 85126040 + ], + [ + 75200996, + 1967431 + ], + [ + 86098684, + 34870469 + ], + [ + 35087011, + 40426886 + ], + [ + 36873284, + 97486814 + ], + [ + 48295835, + 45169763 + ], + [ + 64603045, + 54612785 + ], + [ + 52570549, + 66769822 + ], + [ + 96273572, + 60743237 + ], + [ + 6847393, + 14050678 + ], + [ + 41481914, + 28111143 + ], + [ + 39790306, + 96154677 + ], + [ + 21960089, + 86147971 + ], + [ + 61991885, + 97823934 + ], + [ + 39680050, + 48158374 + ], + [ + 96024204, + 95792746 + ], + [ + 44437246, + 1373809 + ], + [ + 71568616, + 90310968 + ], + [ + 28564456, + 18607620 + ], + [ + 74510607, + 95988547 + ], + [ + 9786469, + 7131547 + ], + [ + 94960841, + 85723266 + ], + [ + 66064185, + 23120224 + ], + [ + 53563161, + 26635025 + ], + [ + 6049824, + 86335078 + ], + [ + 70959335, + 41692236 + ], + [ + 56243466, + 57244995 + ], + [ + 12161586, + 44141753 + ], + [ + 1649512, + 78706798 + ], + [ + 16890053, + 8264180 + ], + [ + 48161859, + 90562736 + ], + [ + 36961304, + 54484591 + ], + [ + 2157655, + 92086580 + ], + [ + 93044669, + 61675415 + ], + [ + 88886, + 62263007 + ], + [ + 83507844, + 7641379 + ], + [ + 22418276, + 285647 + ], + [ + 54647765, + 27263376 + ], + [ + 47612257, + 7102467 + ], + [ + 52039419, + 79767577 + ], + [ + 65046739, + 9899871 + ], + [ + 53674211, + 20601182 + ], + [ + 11495390, + 80399243 + ], + [ + 89223387, + 56452142 + ], + [ + 25403164, + 22472491 + ], + [ + 85828880, + 48351350 + ], + [ + 93485179, + 38912041 + ], + [ + 82000504, + 80917883 + ], + [ + 53570708, + 63255403 + ], + [ + 28739238, + 98291929 + ], + [ + 4970840, + 33098248 + ], + [ + 626267, + 60807841 + ], + [ + 92384801, + 41143808 + ], + [ + 9126609, + 4256821 + ], + [ + 89175883, + 47726288 + ], + [ + 40141765, + 75119396 + ], + [ + 49280859, + 94109873 + ], + [ + 29396837, + 25974950 + ], + [ + 66460153, + 41674694 + ], + [ + 55640117, + 29864779 + ], + [ + 90133266, + 94128799 + ], + [ + 46160503, + 3012940 + ], + [ + 80662912, + 2732151 + ], + [ + 20134937, + 93732033 + ], + [ + 52760846, + 25944267 + ], + [ + 56114143, + 91001365 + ], + [ + 18425845, + 55833877 + ], + [ + 33202879, + 78826842 + ], + [ + 71107009, + 76608222 + ], + [ + 78970829, + 76434458 + ], + [ + 59453529, + 54204241 + ], + [ + 93810242, + 52783632 + ], + [ + 10296333, + 38267119 + ], + [ + 11832100, + 26156301 + ], + [ + 50441615, + 53373520 + ], + [ + 72058889, + 45837694 + ], + [ + 36016662, + 13151806 + ], + [ + 40352520, + 50498503 + ], + [ + 11256753, + 45812514 + ], + [ + 95992481, + 84451035 + ], + [ + 22016792, + 47247854 + ], + [ + 64599130, + 53357847 + ], + [ + 16466741, + 63406540 + ], + [ + 23727890, + 48518852 + ], + [ + 22473509, + 40877420 + ], + [ + 33889663, + 11731954 + ], + [ + 82260631, + 44746414 + ], + [ + 2014828, + 31440953 + ], + [ + 21831862, + 34937705 + ], + [ + 49129474, + 11536457 + ], + [ + 31378647, + 89300922 + ], + [ + 49154052, + 98205549 + ], + [ + 64557257, + 69634311 + ], + [ + 8002967, + 65418003 + ], + [ + 22090514, + 69427842 + ], + [ + 76162726, + 6446746 + ], + [ + 78926294, + 44986071 + ], + [ + 10317191, + 82870740 + ], + [ + 19538447, + 74456174 + ], + [ + 97570658, + 26263649 + ], + [ + 32612485, + 42919745 + ], + [ + 27119006, + 41815513 + ], + [ + 80466752, + 70882129 + ], + [ + 23576056, + 20760602 + ], + [ + 6313626, + 10901471 + ], + [ + 60143583, + 77272899 + ], + [ + 87409925, + 594952 + ], + [ + 96800067, + 45179535 + ], + [ + 19660373, + 47722455 + ], + [ + 14847396, + 71484029 + ], + [ + 40252818, + 1675011 + ], + [ + 50774422, + 69058407 + ], + [ + 31267512, + 75837821 + ], + [ + 18849339, + 22646052 + ], + [ + 36183215, + 52747815 + ], + [ + 36455698, + 53385346 + ], + [ + 79711290, + 34247396 + ], + [ + 36189864, + 29229459 + ], + [ + 37066740, + 62000770 + ], + [ + 71192200, + 21441216 + ], + [ + 89547535, + 60401652 + ], + [ + 50774453, + 5922897 + ], + [ + 64895663, + 50748302 + ], + [ + 78721783, + 55413870 + ], + [ + 80272849, + 66391031 + ], + [ + 15812291, + 20941497 + ], + [ + 40770745, + 32369668 + ], + [ + 98883334, + 15574762 + ], + [ + 16343144, + 33829360 + ], + [ + 25797318, + 68405108 + ], + [ + 94801034, + 98768954 + ], + [ + 26345243, + 57830032 + ], + [ + 42650232, + 46068557 + ], + [ + 96883939, + 72821856 + ], + [ + 51763053, + 57130203 + ], + [ + 37424309, + 33652304 + ], + [ + 68365604, + 9775935 + ], + [ + 65365232, + 26247111 + ], + [ + 19455317, + 40530940 + ], + [ + 73976695, + 88706494 + ], + [ + 54000203, + 12008074 + ], + [ + 65622030, + 21853533 + ], + [ + 98006374, + 46696922 + ], + [ + 36251788, + 63400682 + ], + [ + 20606630, + 87118079 + ], + [ + 22763098, + 81533892 + ], + [ + 57740897, + 45715694 + ], + [ + 53949917, + 51078975 + ], + [ + 24988557, + 9140534 + ], + [ + 8222867, + 20999488 + ], + [ + 11826775, + 10846380 + ], + [ + 86487024, + 71412996 + ], + [ + 43444503, + 21926880 + ], + [ + 90191216, + 91100919 + ], + [ + 31617134, + 28525566 + ], + [ + 17430455, + 69689723 + ], + [ + 34090149, + 81029394 + ], + [ + 36826381, + 62322957 + ], + [ + 52924743, + 61476803 + ], + [ + 98626381, + 66734358 + ], + [ + 6372146, + 40230899 + ], + [ + 18846371, + 76477608 + ], + [ + 25808677, + 65727676 + ], + [ + 54926016, + 81094173 + ], + [ + 96858274, + 34729261 + ], + [ + 20196780, + 61803095 + ], + [ + 41185405, + 18080339 + ], + [ + 90466330, + 87098971 + ], + [ + 22123515, + 26842301 + ], + [ + 78709094, + 67473195 + ], + [ + 30292290, + 80891304 + ], + [ + 49462282, + 79204129 + ], + [ + 14295980, + 50224518 + ], + [ + 54872069, + 57600071 + ], + [ + 21955454, + 16872359 + ], + [ + 45672308, + 32277766 + ], + [ + 51806049, + 22514885 + ], + [ + 53155706, + 51230566 + ], + [ + 49108420, + 60235989 + ], + [ + 18588268, + 4883655 + ], + [ + 34274736, + 10489827 + ], + [ + 48530334, + 66311859 + ], + [ + 59861956, + 83105640 + ], + [ + 30166436, + 89680320 + ], + [ + 86860025, + 35236103 + ], + [ + 11780554, + 86589742 + ], + [ + 75235605, + 28290793 + ], + [ + 6116169, + 21187198 + ], + [ + 62402606, + 50666995 + ], + [ + 84578534, + 68208900 + ], + [ + 79487246, + 79094452 + ], + [ + 47571733, + 36238809 + ], + [ + 62523514, + 65971963 + ], + [ + 69692447, + 49570472 + ], + [ + 9233669, + 86834877 + ], + [ + 4324361, + 69603299 + ], + [ + 18854081, + 38968217 + ], + [ + 88581544, + 28781992 + ], + [ + 53728864, + 29010959 + ], + [ + 33936172, + 27912743 + ], + [ + 65993219, + 72643167 + ], + [ + 89055008, + 90738386 + ], + [ + 1757166, + 26876089 + ], + [ + 63306761, + 69866649 + ], + [ + 12270126, + 69660087 + ], + [ + 738903, + 448560 + ], + [ + 71057186, + 68705758 + ], + [ + 45840126, + 79663576 + ], + [ + 70661434, + 25021681 + ], + [ + 1458140, + 44829622 + ], + [ + 297257, + 84452920 + ], + [ + 4214234, + 77788977 + ], + [ + 12217284, + 88901849 + ], + [ + 42694700, + 40563654 + ], + [ + 17994429, + 99353927 + ], + [ + 83480632, + 31966202 + ], + [ + 11527227, + 53223636 + ], + [ + 80019999, + 6750762 + ], + [ + 42006107, + 586420 + ], + [ + 95452653, + 68645216 + ], + [ + 75589456, + 9446958 + ], + [ + 28785595, + 94946016 + ], + [ + 41443259, + 85484707 + ], + [ + 2552029, + 7747914 + ], + [ + 68877766, + 86637581 + ], + [ + 89503263, + 49110256 + ], + [ + 8211028, + 39093280 + ], + [ + 2219618, + 38989264 + ], + [ + 15193457, + 24791335 + ], + [ + 5527807, + 2556696 + ], + [ + 96763248, + 95349609 + ], + [ + 16610608, + 77549921 + ], + [ + 11457530, + 51314071 + ], + [ + 79409992, + 96733580 + ], + [ + 38513550, + 67935327 + ], + [ + 66590716, + 89259413 + ], + [ + 31708657, + 95822262 + ], + [ + 94406961, + 98307096 + ], + [ + 11906321, + 55587392 + ], + [ + 71492010, + 35237602 + ], + [ + 59116065, + 81727574 + ], + [ + 47259454, + 37971622 + ], + [ + 76908592, + 93769429 + ], + [ + 5123610, + 2283774 + ], + [ + 88229401, + 17839875 + ], + [ + 92300499, + 7113218 + ], + [ + 31967960, + 67106008 + ], + [ + 34147893, + 75441524 + ], + [ + 21235989, + 57048977 + ], + [ + 57396268, + 75082956 + ], + [ + 62731484, + 57245808 + ], + [ + 46236713, + 9543986 + ], + [ + 54815620, + 10694765 + ], + [ + 53114642, + 86430857 + ], + [ + 44050292, + 48970533 + ], + [ + 10343404, + 32253426 + ], + [ + 80155415, + 2556599 + ], + [ + 51974217, + 74523409 + ], + [ + 58623259, + 56428218 + ], + [ + 91442527, + 6429249 + ], + [ + 40842233, + 95749494 + ], + [ + 70225703, + 32704717 + ], + [ + 78997966, + 40581973 + ], + [ + 19365315, + 17411052 + ], + [ + 21401245, + 92966711 + ], + [ + 53625182, + 36322334 + ], + [ + 6623637, + 88937552 + ], + [ + 45764132, + 13234078 + ], + [ + 68705630, + 73233724 + ], + [ + 93558150, + 32807849 + ], + [ + 60641678, + 46679983 + ], + [ + 93946903, + 51707281 + ], + [ + 55630800, + 74027736 + ], + [ + 38569805, + 99492682 + ], + [ + 12731593, + 8666708 + ], + [ + 62689296, + 4932397 + ], + [ + 5369866, + 92509353 + ], + [ + 84313369, + 50704880 + ], + [ + 98123365, + 47764356 + ], + [ + 26909956, + 43925704 + ], + [ + 52349816, + 92002940 + ], + [ + 28313778, + 34141073 + ], + [ + 61677805, + 80200009 + ], + [ + 21732893, + 13260474 + ], + [ + 85722530, + 13420170 + ], + [ + 68736621, + 79316044 + ], + [ + 14176259, + 84755727 + ], + [ + 26247245, + 48984489 + ], + [ + 427960, + 40649687 + ], + [ + 59991151, + 42862467 + ], + [ + 15483078, + 31750725 + ], + [ + 17438702, + 58914778 + ], + [ + 65047638, + 81509812 + ], + [ + 16957616, + 98326189 + ], + [ + 52904159, + 19501629 + ], + [ + 81803574, + 40863743 + ], + [ + 32136542, + 65746678 + ], + [ + 59342428, + 36119186 + ], + [ + 18234193, + 10160908 + ], + [ + 63930293, + 3763994 + ], + [ + 34068232, + 89793776 + ], + [ + 95231896, + 14644599 + ], + [ + 18809979, + 48435777 + ], + [ + 26936129, + 97526028 + ], + [ + 35985491, + 46102158 + ], + [ + 36510081, + 86193188 + ], + [ + 27697292, + 59662867 + ], + [ + 50135761, + 67405059 + ], + [ + 56789453, + 49949199 + ], + [ + 9184357, + 62060127 + ], + [ + 15063421, + 5850177 + ], + [ + 19853440, + 53172778 + ], + [ + 44561987, + 1825287 + ], + [ + 21277399, + 41949136 + ], + [ + 81330833, + 58543757 + ], + [ + 2612870, + 94574531 + ], + [ + 59606103, + 96903695 + ], + [ + 57193442, + 22534916 + ], + [ + 26322583, + 3740395 + ], + [ + 47003494, + 91668521 + ], + [ + 5534140, + 52071890 + ], + [ + 23185249, + 76185588 + ], + [ + 82325775, + 51056995 + ], + [ + 87132931, + 38793333 + ], + [ + 11532432, + 43744918 + ], + [ + 16078584, + 35387646 + ], + [ + 85891494, + 45397373 + ], + [ + 54969475, + 60630920 + ], + [ + 64070029, + 35106923 + ], + [ + 25458708, + 32744557 + ], + [ + 33411033, + 55738193 + ], + [ + 79765625, + 2905994 + ], + [ + 62865640, + 14896960 + ], + [ + 58659131, + 25297575 + ], + [ + 20337845, + 12429018 + ], + [ + 50737464, + 53048843 + ], + [ + 18688286, + 53210258 + ], + [ + 36857864, + 6992575 + ], + [ + 36180106, + 34560746 + ], + [ + 76649085, + 93341210 + ], + [ + 39207719, + 26965296 + ], + [ + 99361249, + 36758854 + ], + [ + 43600473, + 48906850 + ], + [ + 46790875, + 76888000 + ], + [ + 16719877, + 73509322 + ], + [ + 76244701, + 56197575 + ], + [ + 48521877, + 70153979 + ], + [ + 40468679, + 5053075 + ], + [ + 77673620, + 77955902 + ], + [ + 79109017, + 74302664 + ], + [ + 48856621, + 26202636 + ], + [ + 67867701, + 85472190 + ], + [ + 16812164, + 9833213 + ], + [ + 27910630, + 90817509 + ], + [ + 4495935, + 12115397 + ], + [ + 94875646, + 32640618 + ], + [ + 63758202, + 50528123 + ], + [ + 63705989, + 37107102 + ], + [ + 8973538, + 19228942 + ], + [ + 24168827, + 22522498 + ], + [ + 77100206, + 96850362 + ], + [ + 87583526, + 68853164 + ], + [ + 16248706, + 31598255 + ], + [ + 8833618, + 12261592 + ], + [ + 4762756, + 54316575 + ], + [ + 37448041, + 77945611 + ], + [ + 74184643, + 19830273 + ], + [ + 56927605, + 61920947 + ], + [ + 74721118, + 51668492 + ], + [ + 53263124, + 25540618 + ], + [ + 41359004, + 47582280 + ], + [ + 92203062, + 28279192 + ], + [ + 74875659, + 91981911 + ], + [ + 90287602, + 82572158 + ], + [ + 37569116, + 83457423 + ], + [ + 43653954, + 332058 + ], + [ + 67622332, + 95981762 + ], + [ + 2414224, + 51039928 + ], + [ + 28209687, + 65834423 + ], + [ + 49633871, + 46715118 + ], + [ + 16146026, + 99381741 + ], + [ + 40346448, + 29031974 + ], + [ + 46766938, + 5147533 + ], + [ + 87102438, + 92194929 + ], + [ + 81043293, + 1004586 + ], + [ + 80608043, + 11657846 + ], + [ + 48859561, + 30166496 + ], + [ + 3575708, + 62392174 + ], + [ + 16001683, + 58713677 + ], + [ + 98837204, + 45313847 + ], + [ + 18687723, + 81160262 + ], + [ + 61915984, + 6105850 + ], + [ + 84340032, + 32325756 + ], + [ + 76725490, + 3704821 + ], + [ + 25942327, + 83326393 + ], + [ + 37117308, + 15625427 + ], + [ + 24247277, + 96427721 + ], + [ + 80429504, + 65000548 + ], + [ + 80677747, + 9590156 + ], + [ + 5904356, + 21306318 + ], + [ + 27279915, + 96323762 + ], + [ + 72631989, + 20941221 + ], + [ + 82500326, + 3400661 + ], + [ + 41119245, + 79086522 + ], + [ + 20576797, + 15519445 + ], + [ + 38982165, + 56320221 + ], + [ + 92586950, + 87476685 + ], + [ + 82500815, + 71198249 + ], + [ + 81373226, + 25746968 + ], + [ + 58135854, + 50866492 + ], + [ + 29177854, + 15551539 + ], + [ + 45382602, + 58915493 + ], + [ + 60339232, + 2981026 + ], + [ + 54108773, + 97349308 + ], + [ + 97470013, + 19270055 + ], + [ + 58604570, + 65489368 + ], + [ + 59558459, + 63460734 + ], + [ + 83030029, + 9877062 + ], + [ + 96911007, + 50411986 + ], + [ + 53382639, + 20754453 + ], + [ + 30894048, + 45440929 + ], + [ + 40790673, + 51325290 + ], + [ + 31522422, + 70657654 + ], + [ + 82065718, + 22095770 + ], + [ + 53324226, + 83916 + ], + [ + 83934230, + 97217030 + ], + [ + 98699320, + 15841637 + ], + [ + 35286567, + 49816885 + ], + [ + 47941653, + 86906754 + ], + [ + 50385283, + 57514403 + ], + [ + 84566845, + 24610286 + ], + [ + 20187982, + 59610157 + ], + [ + 69163168, + 56658091 + ], + [ + 98803875, + 62093434 + ], + [ + 29146588, + 10224258 + ], + [ + 72528225, + 83496212 + ], + [ + 90192589, + 50075146 + ], + [ + 1833629, + 45252469 + ], + [ + 76268637, + 26995719 + ], + [ + 28297742, + 20922725 + ], + [ + 34320559, + 46761308 + ], + [ + 66355275, + 92616171 + ], + [ + 47970115, + 25607939 + ], + [ + 14990082, + 48688774 + ], + [ + 45765614, + 49408530 + ], + [ + 60658706, + 37515922 + ], + [ + 21505268, + 83838897 + ], + [ + 13303176, + 79476683 + ], + [ + 45508170, + 14177167 + ], + [ + 75592151, + 79356929 + ], + [ + 65531712, + 67145389 + ], + [ + 29305205, + 5226501 + ], + [ + 1266542, + 26204442 + ], + [ + 87386032, + 17079776 + ], + [ + 46118691, + 56419918 + ], + [ + 55469213, + 46583019 + ], + [ + 91070263, + 58799038 + ], + [ + 30367824, + 98718198 + ], + [ + 21122917, + 47667416 + ], + [ + 12028153, + 22485111 + ], + [ + 41861573, + 77976930 + ], + [ + 50246375, + 11195595 + ], + [ + 47593723, + 60346637 + ], + [ + 5855503, + 29825840 + ], + [ + 89863198, + 20333286 + ], + [ + 34332658, + 88241392 + ], + [ + 93117802, + 39037868 + ], + [ + 93395264, + 64965675 + ], + [ + 47708625, + 73466279 + ], + [ + 30360743, + 614736 + ], + [ + 11920761, + 65531783 + ], + [ + 43368845, + 25905537 + ], + [ + 24299383, + 60452673 + ], + [ + 10474265, + 49016642 + ], + [ + 23143267, + 96644476 + ], + [ + 72186180, + 11035351 + ], + [ + 94588964, + 95438377 + ], + [ + 62749080, + 84417082 + ], + [ + 80566198, + 59119253 + ], + [ + 85053519, + 11564094 + ], + [ + 1635730, + 57412438 + ], + [ + 21397404, + 50054770 + ], + [ + 12170711, + 87472359 + ], + [ + 62335834, + 53819741 + ], + [ + 16884920, + 97747636 + ], + [ + 80061557, + 40654349 + ], + [ + 75888431, + 88689922 + ], + [ + 16928021, + 5036653 + ], + [ + 87115342, + 31743328 + ], + [ + 55723133, + 26262502 + ], + [ + 81513182, + 46077460 + ], + [ + 15901309, + 67496590 + ], + [ + 79746035, + 44419798 + ], + [ + 68758352, + 98606888 + ], + [ + 29860161, + 54083476 + ], + [ + 96839259, + 57412807 + ], + [ + 3853994, + 66230771 + ], + [ + 67371198, + 5151630 + ], + [ + 5351791, + 54349280 + ], + [ + 5981705, + 49829414 + ], + [ + 96088038, + 4530641 + ], + [ + 55771192, + 95805486 + ], + [ + 86032361, + 35307321 + ], + [ + 33341943, + 13572971 + ], + [ + 20736448, + 60277885 + ], + [ + 57608037, + 24635859 + ], + [ + 80428130, + 72509687 + ], + [ + 77390323, + 48780629 + ], + [ + 34743276, + 4328055 + ], + [ + 36959969, + 49851738 + ], + [ + 17809741, + 48878441 + ], + [ + 7452448, + 21515208 + ], + [ + 89875418, + 30506779 + ], + [ + 39391207, + 76666546 + ], + [ + 47327322, + 20032205 + ], + [ + 36285153, + 57657413 + ], + [ + 80581032, + 74999151 + ], + [ + 4262705, + 74479063 + ], + [ + 12446489, + 30851724 + ], + [ + 61021100, + 94401027 + ], + [ + 43399148, + 17315052 + ], + [ + 84005709, + 72454989 + ], + [ + 29552938, + 58107182 + ], + [ + 70572584, + 62584616 + ], + [ + 3823733, + 13275394 + ], + [ + 63644881, + 26486598 + ], + [ + 81817265, + 31897139 + ], + [ + 86660652, + 3554221 + ], + [ + 80271770, + 85686002 + ], + [ + 9491500, + 77387699 + ], + [ + 1248448, + 76173335 + ], + [ + 88258816, + 67869900 + ], + [ + 74262348, + 21122337 + ], + [ + 28590710, + 61308837 + ], + [ + 37613362, + 16551560 + ], + [ + 33041970, + 47495579 + ], + [ + 37342581, + 99319952 + ], + [ + 99514535, + 7906581 + ], + [ + 57167163, + 26330517 + ], + [ + 19288455, + 36398772 + ], + [ + 45465574, + 22486977 + ], + [ + 72812906, + 5884282 + ], + [ + 57502001, + 28015489 + ], + [ + 22587022, + 91013353 + ], + [ + 13255709, + 55721977 + ], + [ + 6121370, + 66840550 + ], + [ + 6062938, + 66755250 + ], + [ + 12593921, + 9550432 + ], + [ + 80293722, + 24685567 + ], + [ + 26422643, + 39633204 + ], + [ + 39800784, + 21062752 + ], + [ + 77822545, + 4746823 + ], + [ + 52086319, + 67754178 + ], + [ + 78508550, + 15180828 + ], + [ + 61709657, + 10983433 + ], + [ + 90436050, + 14974614 + ], + [ + 70684305, + 79842875 + ], + [ + 92165193, + 29874134 + ], + [ + 10155452, + 69889604 + ], + [ + 68642970, + 23612054 + ], + [ + 7973190, + 75546916 + ], + [ + 67770290, + 68385533 + ], + [ + 8201951, + 82005638 + ], + [ + 31850741, + 28404538 + ], + [ + 76946664, + 34557509 + ], + [ + 92568289, + 19567510 + ], + [ + 75106350, + 6389849 + ], + [ + 74148315, + 65634422 + ], + [ + 54322086, + 7124128 + ], + [ + 51988525, + 28734406 + ], + [ + 15084858, + 1008892 + ], + [ + 69249863, + 24679331 + ], + [ + 42407441, + 71996735 + ], + [ + 24009660, + 26443141 + ], + [ + 19862139, + 44704659 + ], + [ + 905772, + 2057726 + ], + [ + 1293007, + 46935034 + ], + [ + 7053033, + 9532706 + ], + [ + 5850849, + 65517088 + ], + [ + 57102478, + 74669505 + ], + [ + 88200610, + 97259149 + ], + [ + 9055226, + 64486691 + ], + [ + 93945681, + 53911641 + ], + [ + 21988320, + 1338666 + ], + [ + 12674420, + 19191455 + ], + [ + 54994312, + 9403030 + ], + [ + 29226068, + 55859751 + ], + [ + 44513272, + 17504108 + ], + [ + 19184402, + 55114430 + ], + [ + 49952395, + 81278122 + ], + [ + 52012157, + 21919225 + ], + [ + 64302598, + 64361841 + ], + [ + 42534161, + 68010077 + ], + [ + 91938154, + 57781493 + ], + [ + 29060918, + 92450342 + ], + [ + 75334392, + 13912938 + ], + [ + 54475830, + 83041627 + ], + [ + 43407954, + 55477955 + ], + [ + 56587171, + 35294977 + ], + [ + 38482131, + 32838416 + ], + [ + 30783853, + 11549130 + ], + [ + 11017198, + 15753755 + ], + [ + 29553723, + 47288098 + ], + [ + 62261163, + 93653643 + ], + [ + 79900415, + 57581218 + ], + [ + 91456164, + 26272009 + ], + [ + 3007727, + 52861102 + ], + [ + 41838557, + 25554217 + ], + [ + 15316994, + 9457849 + ], + [ + 22177927, + 83518648 + ], + [ + 83045821, + 32919285 + ], + [ + 34161095, + 65435240 + ], + [ + 57465966, + 13288177 + ], + [ + 94690235, + 77794056 + ], + [ + 29629648, + 56889319 + ], + [ + 4928157, + 48679487 + ], + [ + 55324275, + 45169613 + ], + [ + 60124629, + 15177067 + ], + [ + 57361081, + 17009638 + ], + [ + 51826825, + 62047065 + ], + [ + 51782555, + 76001674 + ], + [ + 56476558, + 86709112 + ], + [ + 19346756, + 50487032 + ], + [ + 89341869, + 51173659 + ], + [ + 70579750, + 51901688 + ], + [ + 23946477, + 16710125 + ], + [ + 11130505, + 36679544 + ], + [ + 20276577, + 61703136 + ], + [ + 58179248, + 38453744 + ], + [ + 21056759, + 58946596 + ], + [ + 89227532, + 49543570 + ], + [ + 18622182, + 64662906 + ], + [ + 76638872, + 76220977 + ], + [ + 3428579, + 59122479 + ], + [ + 87487614, + 45844999 + ], + [ + 58095772, + 11601824 + ], + [ + 53674039, + 72853455 + ], + [ + 6967619, + 90940350 + ], + [ + 92217561, + 97421877 + ], + [ + 40889284, + 81814363 + ], + [ + 64163903, + 52610466 + ], + [ + 11844833, + 43260054 + ], + [ + 82330476, + 33322154 + ], + [ + 44014319, + 88099334 + ], + [ + 71233865, + 67874527 + ], + [ + 3461350, + 371426 + ], + [ + 88895166, + 93329573 + ], + [ + 51400516, + 4944908 + ], + [ + 60257861, + 48560451 + ], + [ + 25296078, + 33380260 + ], + [ + 62840405, + 65148372 + ], + [ + 47091716, + 82156566 + ], + [ + 24592933, + 85823174 + ], + [ + 16137156, + 63704414 + ], + [ + 33041554, + 10347780 + ], + [ + 23510640, + 30384306 + ], + [ + 76888646, + 14572818 + ], + [ + 36191084, + 38199289 + ], + [ + 66378271, + 36615099 + ], + [ + 90575617, + 29831085 + ], + [ + 54740270, + 19803653 + ], + [ + 44981424, + 6046441 + ], + [ + 15896382, + 32805639 + ], + [ + 70413812, + 19836384 + ], + [ + 36759372, + 40007327 + ], + [ + 58610829, + 66613054 + ], + [ + 21243807, + 83118510 + ], + [ + 19697168, + 71692231 + ], + [ + 47827059, + 38052843 + ], + [ + 74261501, + 9071627 + ], + [ + 74422198, + 46127560 + ], + [ + 34933952, + 63646874 + ], + [ + 31984709, + 2159896 + ], + [ + 66956254, + 92056160 + ], + [ + 83094909, + 13375162 + ], + [ + 45489724, + 1115174 + ], + [ + 54096034, + 28800389 + ], + [ + 72696779, + 92076607 + ], + [ + 4927421, + 22076560 + ], + [ + 89184894, + 78819680 + ], + [ + 65866813, + 11648415 + ], + [ + 48476190, + 29112464 + ], + [ + 30267821, + 50129793 + ], + [ + 25339644, + 61222834 + ], + [ + 43226463, + 8961665 + ], + [ + 45867925, + 81712828 + ], + [ + 56216577, + 8831523 + ], + [ + 86321316, + 37315877 + ], + [ + 76480756, + 8983372 + ], + [ + 98724743, + 38741937 + ], + [ + 53827543, + 34180000 + ], + [ + 82861427, + 89100279 + ], + [ + 65999767, + 55518016 + ], + [ + 42918793, + 22891548 + ], + [ + 30927835, + 19941981 + ], + [ + 42992395, + 53542691 + ], + [ + 8598863, + 36016170 + ], + [ + 96575767, + 66871148 + ], + [ + 85219950, + 68793086 + ], + [ + 77546127, + 76964038 + ], + [ + 30103841, + 84851048 + ], + [ + 63391591, + 92410238 + ], + [ + 38052995, + 41957842 + ], + [ + 38280974, + 93290690 + ], + [ + 18894436, + 7430570 + ], + [ + 64580385, + 26194449 + ], + [ + 84087131, + 98976885 + ], + [ + 63190668, + 9700385 + ], + [ + 24343873, + 37314884 + ], + [ + 77301178, + 44965159 + ], + [ + 8301033, + 90690427 + ], + [ + 6148120, + 74651909 + ], + [ + 88904656, + 39786121 + ], + [ + 52866529, + 9412570 + ], + [ + 82805283, + 99567277 + ], + [ + 94628792, + 86555519 + ], + [ + 69857087, + 18671972 + ], + [ + 64508623, + 24998718 + ], + [ + 40614242, + 36191440 + ], + [ + 81817279, + 78941197 + ], + [ + 30877217, + 15198759 + ], + [ + 48772437, + 2017528 + ], + [ + 10770319, + 13567411 + ], + [ + 79839480, + 5007312 + ], + [ + 17910560, + 49577866 + ], + [ + 48129994, + 10675488 + ], + [ + 61990248, + 91983303 + ], + [ + 7186718, + 16071029 + ], + [ + 93635370, + 53077837 + ], + [ + 49883630, + 44773767 + ], + [ + 53512362, + 81322421 + ], + [ + 11460966, + 68311445 + ], + [ + 79839721, + 3314137 + ], + [ + 90902607, + 78831165 + ], + [ + 23837004, + 76726976 + ], + [ + 30387844, + 52796339 + ], + [ + 81526002, + 32336166 + ], + [ + 20503306, + 13484085 + ], + [ + 90504130, + 57836010 + ], + [ + 79251655, + 11245574 + ], + [ + 75172028, + 99653518 + ], + [ + 73694840, + 62612614 + ], + [ + 45253780, + 61501071 + ], + [ + 43351716, + 21141750 + ], + [ + 74986035, + 27816170 + ], + [ + 39314598, + 13219728 + ], + [ + 22732973, + 52188729 + ], + [ + 71564300, + 19584883 + ], + [ + 9025738, + 28676785 + ], + [ + 53568540, + 44167257 + ], + [ + 27549887, + 78037385 + ], + [ + 29004943, + 68706477 + ], + [ + 50198903, + 57625391 + ], + [ + 36238387, + 18650658 + ], + [ + 4326672, + 89971477 + ], + [ + 70077613, + 84840889 + ], + [ + 28276874, + 60601686 + ], + [ + 53329529, + 58141767 + ], + [ + 80060389, + 75794492 + ], + [ + 40742653, + 91922779 + ], + [ + 58686756, + 54601324 + ], + [ + 17887561, + 2487199 + ], + [ + 90997720, + 75206041 + ], + [ + 40345339, + 201581 + ], + [ + 44637838, + 24302634 + ], + [ + 30795293, + 60982286 + ], + [ + 89867334, + 8752209 + ], + [ + 92479043, + 56426710 + ], + [ + 58131730, + 3246446 + ], + [ + 16430214, + 20563415 + ], + [ + 50152280, + 29578501 + ], + [ + 7602572, + 74723042 + ], + [ + 26431731, + 45935736 + ], + [ + 46709619, + 49075750 + ], + [ + 43902910, + 45032850 + ], + [ + 35043137, + 21957964 + ], + [ + 87946949, + 74310953 + ], + [ + 99263508, + 66502622 + ], + [ + 32650566, + 59642959 + ], + [ + 19782357, + 66862352 + ], + [ + 8566188, + 13717278 + ], + [ + 13840816, + 9137122 + ], + [ + 55775632, + 37552667 + ], + [ + 64737654, + 35155319 + ], + [ + 45976908, + 59747043 + ], + [ + 65603037, + 46830631 + ], + [ + 35615647, + 40762216 + ], + [ + 57848581, + 51691834 + ], + [ + 47068091, + 94027930 + ], + [ + 77421213, + 9233272 + ], + [ + 93832135, + 84229051 + ], + [ + 20478466, + 36276267 + ], + [ + 25894100, + 85434752 + ], + [ + 50192043, + 79000915 + ], + [ + 25962898, + 63041715 + ], + [ + 47579412, + 63575440 + ], + [ + 24847686, + 57263046 + ], + [ + 84551590, + 94289252 + ], + [ + 21440370, + 15121218 + ], + [ + 28544584, + 85599082 + ], + [ + 11379744, + 92173274 + ], + [ + 33644643, + 50434193 + ], + [ + 73050271, + 73769706 + ], + [ + 18954737, + 60465033 + ], + [ + 8454812, + 36214541 + ], + [ + 43232733, + 53901682 + ], + [ + 39330138, + 88523953 + ], + [ + 89491489, + 6985294 + ], + [ + 43584443, + 25867652 + ], + [ + 3382146, + 46246977 + ], + [ + 57922168, + 19947297 + ], + [ + 52440655, + 83658419 + ], + [ + 43858598, + 34551345 + ], + [ + 66156136, + 53978690 + ], + [ + 67000139, + 50880610 + ], + [ + 32433185, + 88623346 + ], + [ + 37115135, + 37442357 + ], + [ + 77214250, + 50008415 + ], + [ + 16758625, + 72551228 + ], + [ + 87404200, + 53468557 + ], + [ + 90352568, + 65360246 + ], + [ + 42629982, + 68892765 + ], + [ + 37633153, + 83093961 + ], + [ + 65239141, + 10285707 + ], + [ + 33498433, + 2667071 + ], + [ + 39462735, + 63175530 + ], + [ + 86503421, + 54219353 + ], + [ + 32934481, + 23765163 + ], + [ + 27514518, + 97156559 + ], + [ + 82592513, + 68066759 + ], + [ + 33321356, + 90520394 + ], + [ + 58778399, + 68845123 + ], + [ + 12770292, + 78415942 + ], + [ + 65543194, + 57363928 + ], + [ + 86516431, + 9294756 + ], + [ + 90865026, + 35859838 + ], + [ + 73114836, + 4995413 + ], + [ + 79258057, + 25512059 + ], + [ + 65899424, + 11473463 + ], + [ + 27643854, + 71702759 + ], + [ + 7841632, + 61671278 + ], + [ + 11348581, + 4662304 + ], + [ + 95147709, + 31071301 + ], + [ + 4615235, + 63229439 + ], + [ + 77236286, + 1326228 + ], + [ + 55060400, + 38530240 + ], + [ + 97754192, + 67549055 + ], + [ + 11540840, + 41332336 + ], + [ + 92917942, + 3586732 + ], + [ + 89808572, + 62374498 + ], + [ + 96964409, + 61964711 + ], + [ + 15942992, + 90253554 + ], + [ + 31408187, + 1590369 + ], + [ + 92111310, + 82776092 + ], + [ + 45859817, + 83885548 + ], + [ + 99488322, + 5636734 + ], + [ + 65319671, + 31505779 + ], + [ + 66868832, + 33853350 + ], + [ + 92476588, + 26169713 + ], + [ + 29740182, + 39557583 + ], + [ + 44419179, + 6535699 + ], + [ + 20688293, + 99031195 + ], + [ + 72603479, + 6484579 + ], + [ + 4459799, + 36636282 + ], + [ + 11776979, + 71768301 + ], + [ + 11014946, + 53446429 + ], + [ + 6596333, + 61620657 + ], + [ + 83951879, + 22363748 + ], + [ + 78860901, + 7429963 + ], + [ + 960799, + 38705369 + ], + [ + 97801893, + 74798706 + ], + [ + 53169859, + 55144215 + ], + [ + 41181573, + 30691089 + ], + [ + 83154178, + 93918056 + ], + [ + 99198210, + 42262764 + ], + [ + 28116321, + 26526440 + ], + [ + 48939702, + 2672601 + ], + [ + 77110630, + 8996570 + ], + [ + 12602468, + 62695768 + ], + [ + 81026529, + 74128053 + ], + [ + 84617534, + 86836661 + ], + [ + 39164789, + 44480411 + ], + [ + 47652462, + 89717539 + ], + [ + 11269968, + 81492482 + ], + [ + 88677357, + 35905231 + ], + [ + 38693151, + 73620601 + ], + [ + 32049711, + 60056306 + ], + [ + 6634907, + 8732713 + ], + [ + 39965022, + 83262118 + ], + [ + 29554583, + 77975461 + ], + [ + 70800587, + 53606490 + ], + [ + 36665819, + 51509252 + ], + [ + 64978618, + 42019679 + ], + [ + 7931432, + 39588213 + ], + [ + 28909039, + 36547047 + ], + [ + 1511366, + 37703747 + ], + [ + 30609763, + 13421470 + ], + [ + 87959165, + 31297145 + ], + [ + 68412368, + 14853101 + ], + [ + 86846226, + 97934053 + ], + [ + 46352674, + 63701890 + ], + [ + 31292367, + 77166702 + ], + [ + 52604548, + 8713626 + ], + [ + 34159124, + 57147536 + ], + [ + 40655440, + 82092157 + ], + [ + 47478052, + 8734912 + ], + [ + 1775948, + 26870691 + ], + [ + 60299035, + 75278579 + ], + [ + 95133542, + 58761417 + ], + [ + 52617250, + 37183969 + ], + [ + 66895994, + 66864541 + ], + [ + 54104307, + 64896756 + ], + [ + 88172358, + 44217438 + ], + [ + 39036873, + 99130900 + ], + [ + 46976534, + 85311456 + ], + [ + 23907180, + 61319965 + ], + [ + 69167749, + 10085883 + ], + [ + 67011177, + 11455055 + ], + [ + 14354098, + 48986858 + ], + [ + 92313540, + 23787851 + ], + [ + 66261034, + 10994496 + ], + [ + 88208884, + 12311609 + ], + [ + 6664627, + 53156695 + ], + [ + 9162030, + 18924618 + ], + [ + 11762266, + 99263601 + ], + [ + 84867804, + 97035963 + ], + [ + 76925888, + 15359851 + ], + [ + 46916290, + 17973865 + ], + [ + 52226818, + 55968083 + ], + [ + 79392135, + 23891706 + ], + [ + 57118172, + 89371206 + ], + [ + 61042058, + 42800735 + ], + [ + 56003027, + 33942541 + ], + [ + 65658425, + 90723671 + ], + [ + 59979203, + 8004326 + ], + [ + 33752510, + 62391955 + ], + [ + 92308368, + 60405996 + ], + [ + 55254851, + 95274793 + ], + [ + 22823327, + 35603466 + ], + [ + 2804028, + 65871701 + ], + [ + 48029953, + 63792480 + ], + [ + 7280625, + 12702756 + ], + [ + 88243175, + 21579994 + ], + [ + 98120851, + 14951790 + ], + [ + 25907111, + 88074386 + ], + [ + 52732391, + 39002110 + ], + [ + 16079905, + 68082412 + ], + [ + 41368383, + 21071283 + ], + [ + 10744805, + 13517389 + ], + [ + 18921726, + 48565896 + ], + [ + 69259354, + 90248399 + ], + [ + 2858583, + 91349002 + ], + [ + 1430752, + 770409 + ], + [ + 35385110, + 32637179 + ], + [ + 23978756, + 73175753 + ], + [ + 83301532, + 19188268 + ], + [ + 45268185, + 19201280 + ], + [ + 88390106, + 15769742 + ], + [ + 99190283, + 78705250 + ], + [ + 23950599, + 914531 + ], + [ + 48636696, + 34688876 + ], + [ + 54286166, + 88588228 + ], + [ + 93420095, + 45328215 + ], + [ + 82321251, + 76441618 + ], + [ + 3230546, + 66545107 + ], + [ + 43489796, + 56264897 + ], + [ + 42291328, + 56941516 + ], + [ + 79773568, + 35447657 + ], + [ + 38722287, + 50396443 + ], + [ + 68532626, + 47850621 + ], + [ + 97711520, + 99514747 + ], + [ + 82766487, + 15439428 + ], + [ + 56104082, + 85657052 + ], + [ + 12469538, + 51287745 + ], + [ + 75765503, + 2689940 + ], + [ + 90086887, + 60340351 + ], + [ + 21277411, + 68864009 + ], + [ + 24040950, + 39179803 + ], + [ + 75245475, + 25320679 + ], + [ + 41513694, + 86428883 + ], + [ + 95456155, + 99121326 + ], + [ + 42861268, + 69074706 + ], + [ + 79961853, + 86772586 + ], + [ + 27709575, + 50648745 + ], + [ + 47445310, + 48805097 + ], + [ + 19184458, + 9968737 + ], + [ + 44239961, + 49472263 + ], + [ + 60215330, + 78344890 + ], + [ + 72675756, + 52131676 + ], + [ + 94437895, + 61654509 + ], + [ + 5206510, + 50736616 + ], + [ + 56332311, + 97193866 + ], + [ + 54976536, + 34005495 + ], + [ + 31066394, + 52976497 + ], + [ + 33037919, + 12315950 + ], + [ + 13786105, + 35732679 + ], + [ + 82898261, + 39063125 + ], + [ + 6689875, + 26422367 + ], + [ + 92569077, + 57758655 + ], + [ + 96312777, + 49836826 + ], + [ + 88631046, + 64846194 + ], + [ + 74788907, + 46002670 + ], + [ + 58359711, + 67299089 + ], + [ + 43372075, + 71616911 + ], + [ + 23292576, + 4967411 + ], + [ + 66458144, + 66926137 + ], + [ + 71769802, + 55989791 + ], + [ + 46657059, + 14622217 + ], + [ + 92811695, + 24577778 + ], + [ + 26576709, + 1312638 + ], + [ + 18416039, + 57032402 + ], + [ + 29380068, + 94688219 + ], + [ + 96177271, + 95660702 + ], + [ + 27728079, + 20127561 + ], + [ + 63832137, + 2349452 + ], + [ + 52325029, + 9357929 + ], + [ + 35076014, + 492628 + ], + [ + 93018403, + 83611174 + ], + [ + 87877995, + 52595265 + ], + [ + 96610991, + 76693999 + ], + [ + 46954466, + 87222515 + ], + [ + 20817989, + 27092023 + ], + [ + 35701308, + 33980563 + ], + [ + 44895180, + 88824325 + ], + [ + 27177888, + 53376975 + ], + [ + 2557825, + 19995557 + ], + [ + 61375484, + 34374462 + ], + [ + 92888355, + 71570646 + ], + [ + 31933917, + 46858064 + ], + [ + 255015, + 96203843 + ], + [ + 55680656, + 8028266 + ], + [ + 76533465, + 32172441 + ], + [ + 16409986, + 27088557 + ], + [ + 59327013, + 28542869 + ], + [ + 85866111, + 14487196 + ], + [ + 35097325, + 89539230 + ], + [ + 96414810, + 75108919 + ], + [ + 69088657, + 38735461 + ], + [ + 22972035, + 57195536 + ], + [ + 30399495, + 71846136 + ], + [ + 94660655, + 76584917 + ], + [ + 90221180, + 3242787 + ], + [ + 26873128, + 76408624 + ], + [ + 32241659, + 47755466 + ], + [ + 27323623, + 75303204 + ], + [ + 91129433, + 85188674 + ], + [ + 98045577, + 30836007 + ], + [ + 74013183, + 91434493 + ], + [ + 56017931, + 49465477 + ], + [ + 38069657, + 24844796 + ], + [ + 40118382, + 71424003 + ], + [ + 46269889, + 65335069 + ], + [ + 18008782, + 44870524 + ], + [ + 83778286, + 7788087 + ], + [ + 15609227, + 28945696 + ], + [ + 29032856, + 20452798 + ], + [ + 37653486, + 72659192 + ], + [ + 40153737, + 28880507 + ], + [ + 88923655, + 88074159 + ], + [ + 62113916, + 1051641 + ], + [ + 68319628, + 48455584 + ], + [ + 60063946, + 54245635 + ], + [ + 1575872, + 92019656 + ], + [ + 12690462, + 64420151 + ], + [ + 59881196, + 77157245 + ], + [ + 8902966, + 2086196 + ], + [ + 61144063, + 56388313 + ], + [ + 66783739, + 37536107 + ], + [ + 77911999, + 59664764 + ], + [ + 39942294, + 44010052 + ], + [ + 98394317, + 92435868 + ], + [ + 46734948, + 36593135 + ], + [ + 40423411, + 54665384 + ], + [ + 92156437, + 72582606 + ], + [ + 41258502, + 46884527 + ], + [ + 49281609, + 90598160 + ], + [ + 32452756, + 75884363 + ], + [ + 57939793, + 22212088 + ], + [ + 49957480, + 99114669 + ], + [ + 22668532, + 40501387 + ], + [ + 55610277, + 16327947 + ], + [ + 59435212, + 96945777 + ], + [ + 58308008, + 35504654 + ], + [ + 738597, + 74151014 + ], + [ + 94169715, + 43409324 + ], + [ + 3353333, + 41540462 + ], + [ + 98571432, + 48094711 + ], + [ + 96159056, + 12752299 + ], + [ + 90730558, + 46433388 + ], + [ + 46348577, + 40739557 + ], + [ + 22861126, + 53572717 + ], + [ + 82728316, + 32063001 + ], + [ + 5123630, + 54517139 + ], + [ + 285333, + 99609769 + ], + [ + 96151362, + 19757598 + ], + [ + 77744316, + 37832573 + ], + [ + 89908440, + 1289157 + ], + [ + 11560163, + 87653829 + ], + [ + 8362272, + 49918814 + ], + [ + 25625734, + 11528840 + ], + [ + 20595904, + 93578547 + ], + [ + 66129225, + 16388399 + ], + [ + 93273241, + 85739340 + ], + [ + 3820663, + 6116912 + ], + [ + 1874085, + 69753135 + ], + [ + 35239872, + 23858951 + ], + [ + 96995388, + 54646055 + ], + [ + 68070532, + 90996159 + ], + [ + 21331016, + 63075151 + ], + [ + 36651198, + 70529161 + ], + [ + 32159090, + 20365749 + ], + [ + 17849931, + 10316463 + ], + [ + 25918953, + 39732749 + ], + [ + 14608663, + 71274958 + ], + [ + 79296106, + 93564877 + ], + [ + 13332146, + 27969481 + ], + [ + 54446076, + 17477928 + ], + [ + 67600541, + 93212248 + ], + [ + 64810733, + 50446934 + ], + [ + 81135408, + 54981354 + ], + [ + 60655888, + 3411655 + ], + [ + 53739741, + 68284960 + ], + [ + 75525877, + 66583520 + ], + [ + 84110232, + 62870167 + ], + [ + 32194002, + 39799614 + ], + [ + 48723601, + 77200316 + ], + [ + 74255839, + 92600502 + ], + [ + 69850044, + 43740359 + ], + [ + 97713603, + 41430762 + ], + [ + 27876194, + 76677384 + ], + [ + 67765201, + 37297532 + ], + [ + 53731400, + 63188861 + ], + [ + 32351990, + 40348441 + ], + [ + 34629826, + 13561599 + ], + [ + 52269664, + 12848528 + ], + [ + 82397420, + 13720706 + ], + [ + 47782317, + 26793917 + ], + [ + 39441662, + 64739564 + ], + [ + 73483331, + 18087491 + ], + [ + 8585310, + 88807534 + ], + [ + 60698809, + 96249708 + ], + [ + 40141196, + 24686316 + ], + [ + 16812628, + 18688794 + ], + [ + 79848908, + 798092 + ], + [ + 31595091, + 85463348 + ], + [ + 3478098, + 43632812 + ], + [ + 51108163, + 98416096 + ], + [ + 96180539, + 71732499 + ], + [ + 8648378, + 85447376 + ], + [ + 24261828, + 25362342 + ], + [ + 11875288, + 23654933 + ], + [ + 33191748, + 50000571 + ], + [ + 76515514, + 42355406 + ], + [ + 83284657, + 16810925 + ], + [ + 48097363, + 3211440 + ], + [ + 37228854, + 18856941 + ], + [ + 36791021, + 90832383 + ], + [ + 46016573, + 41611545 + ], + [ + 66615162, + 62440864 + ], + [ + 87821036, + 43134175 + ], + [ + 53919410, + 63295788 + ], + [ + 85776151, + 32477710 + ], + [ + 68858648, + 47871127 + ], + [ + 85206350, + 79287546 + ], + [ + 40394511, + 44420855 + ], + [ + 66393507, + 32170569 + ], + [ + 28043500, + 56655584 + ], + [ + 41512437, + 40729376 + ], + [ + 81291950, + 40396915 + ], + [ + 49627264, + 3319759 + ], + [ + 59269928, + 63231312 + ], + [ + 59979274, + 3634454 + ], + [ + 80288070, + 54637366 + ], + [ + 38316966, + 28560761 + ], + [ + 25628769, + 72973020 + ], + [ + 32639224, + 3645422 + ], + [ + 98171455, + 35236613 + ], + [ + 80072868, + 15239433 + ], + [ + 28127208, + 18935957 + ], + [ + 96715843, + 46741506 + ], + [ + 17235654, + 612592 + ], + [ + 24352223, + 86252702 + ], + [ + 19156544, + 95480306 + ], + [ + 27092196, + 34561250 + ], + [ + 19375692, + 8876903 + ], + [ + 41864600, + 20825009 + ], + [ + 65630131, + 94923860 + ], + [ + 94099444, + 64043718 + ], + [ + 69609925, + 93863304 + ], + [ + 16661891, + 46174741 + ], + [ + 43644579, + 8927170 + ], + [ + 43132101, + 86030588 + ], + [ + 93301360, + 17677311 + ], + [ + 62594882, + 91034078 + ], + [ + 93126069, + 2679065 + ], + [ + 86004343, + 84129854 + ], + [ + 59296426, + 82802591 + ], + [ + 48301569, + 93184442 + ], + [ + 47790912, + 94851193 + ], + [ + 75387825, + 74590476 + ], + [ + 29036344, + 6735795 + ], + [ + 60301384, + 73516828 + ], + [ + 65541752, + 60542748 + ], + [ + 92702972, + 31307624 + ], + [ + 5560590, + 93634582 + ], + [ + 91794361, + 43873617 + ], + [ + 71710515, + 87501483 + ], + [ + 7470151, + 99999179 + ], + [ + 13180609, + 6217635 + ], + [ + 43486394, + 23840173 + ], + [ + 85412592, + 59877111 + ], + [ + 42962775, + 8823879 + ], + [ + 91888829, + 27693054 + ], + [ + 74386898, + 80542899 + ], + [ + 99744333, + 34747696 + ], + [ + 84261626, + 57486056 + ], + [ + 43601530, + 74559812 + ], + [ + 2500602, + 48190006 + ], + [ + 97317922, + 85361768 + ], + [ + 70849185, + 75146804 + ], + [ + 32495427, + 26047156 + ], + [ + 11537438, + 20793607 + ], + [ + 4828936, + 48129185 + ], + [ + 21349117, + 82211821 + ], + [ + 50816450, + 53335373 + ], + [ + 76313700, + 26553998 + ], + [ + 82306405, + 5341377 + ], + [ + 86212481, + 18467749 + ], + [ + 86052633, + 92922147 + ], + [ + 31221308, + 48375111 + ], + [ + 76539469, + 16986607 + ], + [ + 92228835, + 89717771 + ], + [ + 42535148, + 48632029 + ], + [ + 25860992, + 89766078 + ], + [ + 35242433, + 32633885 + ], + [ + 54967027, + 40434663 + ], + [ + 68311828, + 10041587 + ], + [ + 64914783, + 71563130 + ], + [ + 79112718, + 77162491 + ], + [ + 85695210, + 85684369 + ], + [ + 40567076, + 34098012 + ], + [ + 59439284, + 44617704 + ], + [ + 47289754, + 2632616 + ], + [ + 73123134, + 74442118 + ], + [ + 36860190, + 86526563 + ], + [ + 75236227, + 93228825 + ], + [ + 50820341, + 83255648 + ], + [ + 48970681, + 62804404 + ], + [ + 47829207, + 84380570 + ], + [ + 25899397, + 23958262 + ], + [ + 22179026, + 52065912 + ], + [ + 52641236, + 95029799 + ], + [ + 57237825, + 52449982 + ], + [ + 5880787, + 12980111 + ], + [ + 35244303, + 22503291 + ], + [ + 86920693, + 44686528 + ], + [ + 64315886, + 58261185 + ], + [ + 74462495, + 33794667 + ], + [ + 84677296, + 12478014 + ], + [ + 72810870, + 68867512 + ], + [ + 6882980, + 85913680 + ], + [ + 67101142, + 39592868 + ], + [ + 43627857, + 18832982 + ], + [ + 30563110, + 21379912 + ], + [ + 93441979, + 66279344 + ], + [ + 27921890, + 47369663 + ], + [ + 54180685, + 23073959 + ], + [ + 96849706, + 21829132 + ], + [ + 41894479, + 8774816 + ], + [ + 85261443, + 13557184 + ], + [ + 74126197, + 98325079 + ], + [ + 99614297, + 87996234 + ], + [ + 91557275, + 69905445 + ], + [ + 39796040, + 76167694 + ], + [ + 98807021, + 47835331 + ], + [ + 46662880, + 92900679 + ], + [ + 88399832, + 39075921 + ], + [ + 53742457, + 32172014 + ], + [ + 12300869, + 40401486 + ], + [ + 82122457, + 52731862 + ], + [ + 4524651, + 63302295 + ], + [ + 24139420, + 9628056 + ], + [ + 63042495, + 9196434 + ], + [ + 6302486, + 23637608 + ], + [ + 68089232, + 19183960 + ], + [ + 22314933, + 35274455 + ], + [ + 18132138, + 12333966 + ], + [ + 12726652, + 59179255 + ], + [ + 69440418, + 33008371 + ], + [ + 4124533, + 79910063 + ], + [ + 18782446, + 96820934 + ], + [ + 40816014, + 685023 + ], + [ + 50439114, + 77495814 + ], + [ + 78354238, + 12118310 + ], + [ + 64258016, + 15263579 + ], + [ + 17550371, + 91089963 + ], + [ + 41205658, + 91283092 + ], + [ + 51871, + 18130553 + ], + [ + 16112106, + 71080087 + ], + [ + 17375128, + 65559075 + ], + [ + 11772566, + 67729186 + ], + [ + 23746196, + 35898142 + ], + [ + 56642681, + 19926249 + ], + [ + 77656759, + 31896033 + ], + [ + 63318334, + 24977969 + ], + [ + 45950923, + 27109083 + ], + [ + 60750996, + 55192632 + ], + [ + 29918175, + 3271515 + ], + [ + 39726450, + 58894622 + ], + [ + 67835082, + 23098944 + ], + [ + 66736978, + 63772046 + ], + [ + 27285599, + 73791614 + ], + [ + 62409303, + 3220764 + ], + [ + 2471575, + 24054084 + ], + [ + 8077452, + 77973795 + ], + [ + 61422789, + 82999523 + ], + [ + 40149974, + 95876323 + ], + [ + 77168383, + 53942565 + ], + [ + 13350006, + 53776145 + ], + [ + 17443220, + 32922964 + ], + [ + 7811243, + 80180786 + ], + [ + 387842, + 20636757 + ], + [ + 22764034, + 78975267 + ], + [ + 6731948, + 62398107 + ], + [ + 47125923, + 26191672 + ], + [ + 3456513, + 27179900 + ], + [ + 18529341, + 78403737 + ], + [ + 5437755, + 72835942 + ], + [ + 51431901, + 91166659 + ], + [ + 90872024, + 88900239 + ], + [ + 39253868, + 33459076 + ], + [ + 21683824, + 46670696 + ], + [ + 75405982, + 12174268 + ], + [ + 49348325, + 89905118 + ], + [ + 39941507, + 63549566 + ], + [ + 84609582, + 76835481 + ], + [ + 54102083, + 2749023 + ], + [ + 62324181, + 62685419 + ], + [ + 25190168, + 6077378 + ], + [ + 7160395, + 65564500 + ], + [ + 79294642, + 95634964 + ], + [ + 36491181, + 79507958 + ], + [ + 75174153, + 11121408 + ], + [ + 45260342, + 84324335 + ], + [ + 16418787, + 26928440 + ], + [ + 88915136, + 88472243 + ], + [ + 54136326, + 93739431 + ], + [ + 28184831, + 92377190 + ], + [ + 13732004, + 78875378 + ], + [ + 34981086, + 68531255 + ], + [ + 17603480, + 49747798 + ], + [ + 64834431, + 50779715 + ], + [ + 44527138, + 42925328 + ], + [ + 61246095, + 94814439 + ], + [ + 64531123, + 11862261 + ], + [ + 99837670, + 69178051 + ], + [ + 67462037, + 2852637 + ], + [ + 85798492, + 50268709 + ], + [ + 98925571, + 61128046 + ], + [ + 38676988, + 25367305 + ], + [ + 61206277, + 83709996 + ], + [ + 10519904, + 36420339 + ], + [ + 24389520, + 40222144 + ], + [ + 12411102, + 33985015 + ], + [ + 58759952, + 84719267 + ], + [ + 37908186, + 16060001 + ], + [ + 40922451, + 85625824 + ], + [ + 22612055, + 49865216 + ], + [ + 15930604, + 15629955 + ], + [ + 46111382, + 22634945 + ], + [ + 24330936, + 74877682 + ], + [ + 9971996, + 12949090 + ], + [ + 37460005, + 18570991 + ], + [ + 37045320, + 90078967 + ], + [ + 85102558, + 28519090 + ], + [ + 53741394, + 61543613 + ], + [ + 86032136, + 67137434 + ], + [ + 3353714, + 77931537 + ], + [ + 53690948, + 750336 + ], + [ + 9479591, + 5651033 + ], + [ + 68877930, + 43094094 + ], + [ + 808750, + 13124531 + ], + [ + 20507077, + 81564326 + ], + [ + 66407085, + 10744948 + ], + [ + 22100260, + 89742267 + ], + [ + 75746025, + 26206782 + ], + [ + 15043247, + 90978560 + ], + [ + 89551604, + 82082173 + ], + [ + 91941879, + 26958897 + ], + [ + 22363760, + 89448377 + ], + [ + 51232062, + 31850458 + ], + [ + 64444522, + 81824400 + ], + [ + 42126976, + 54825598 + ], + [ + 15033206, + 99717375 + ], + [ + 48931298, + 61520152 + ], + [ + 17560324, + 30100348 + ], + [ + 18354839, + 901443 + ], + [ + 16821102, + 62168109 + ], + [ + 65688157, + 33983268 + ], + [ + 12608201, + 26103104 + ], + [ + 86528022, + 49371172 + ], + [ + 16428792, + 78971728 + ], + [ + 19445476, + 12882358 + ], + [ + 98934303, + 94943853 + ], + [ + 25315702, + 1589791 + ], + [ + 18587767, + 29242472 + ], + [ + 87263672, + 57061951 + ], + [ + 23293443, + 95410119 + ], + [ + 94987229, + 50350533 + ], + [ + 64582974, + 41135718 + ], + [ + 74984526, + 94818302 + ], + [ + 47521430, + 17976262 + ], + [ + 6241709, + 6896221 + ], + [ + 67353561, + 78707194 + ], + [ + 5229751, + 61107688 + ], + [ + 8891411, + 95451571 + ], + [ + 14110500, + 17124163 + ], + [ + 53086970, + 11087294 + ], + [ + 86436807, + 29065917 + ], + [ + 32610487, + 22697845 + ], + [ + 46759094, + 94235406 + ], + [ + 93692292, + 95842797 + ], + [ + 67882710, + 90424176 + ], + [ + 27758201, + 82968943 + ], + [ + 58556233, + 28698353 + ], + [ + 59603073, + 54575691 + ], + [ + 12345131, + 84022425 + ], + [ + 78473119, + 79141485 + ], + [ + 72065367, + 95987476 + ], + [ + 14417540, + 57667033 + ], + [ + 83510307, + 7840694 + ], + [ + 73541147, + 48043228 + ], + [ + 91063702, + 50830068 + ], + [ + 16389102, + 56067609 + ], + [ + 97574565, + 29531718 + ], + [ + 80335122, + 99224288 + ], + [ + 52296135, + 68871690 + ], + [ + 55672805, + 6525512 + ], + [ + 94205500, + 4887643 + ], + [ + 35190213, + 8265271 + ], + [ + 76574609, + 202583 + ], + [ + 53697870, + 62092961 + ], + [ + 26301532, + 48304917 + ], + [ + 95151402, + 31705598 + ], + [ + 75651943, + 42024863 + ], + [ + 67859996, + 63389268 + ], + [ + 7659984, + 22199112 + ], + [ + 26596401, + 57157620 + ], + [ + 47026503, + 93931084 + ], + [ + 38592154, + 17092049 + ], + [ + 49518691, + 15348702 + ], + [ + 70075601, + 45139953 + ], + [ + 59305163, + 25442750 + ], + [ + 1941555, + 48704478 + ], + [ + 6070743, + 46522710 + ], + [ + 63232165, + 35870654 + ], + [ + 94194652, + 16598814 + ], + [ + 88991967, + 29512200 + ], + [ + 67508409, + 97337641 + ], + [ + 24675540, + 51483787 + ], + [ + 12401323, + 22011008 + ], + [ + 22236523, + 5711062 + ], + [ + 7573741, + 72223465 + ], + [ + 46225416, + 85582136 + ], + [ + 62386842, + 61366476 + ], + [ + 65433014, + 29757592 + ], + [ + 39596766, + 52529702 + ], + [ + 49193150, + 29800048 + ], + [ + 10170488, + 61745303 + ], + [ + 51559838, + 53274751 + ], + [ + 51187815, + 18830451 + ], + [ + 82262247, + 58033459 + ], + [ + 62513706, + 24178465 + ], + [ + 49001721, + 22307166 + ], + [ + 42403725, + 67498576 + ], + [ + 63632243, + 84733235 + ], + [ + 28368389, + 9098245 + ], + [ + 44517129, + 32490791 + ], + [ + 44487025, + 17471645 + ], + [ + 91011446, + 11568463 + ], + [ + 16534648, + 20693376 + ], + [ + 47023875, + 20181923 + ], + [ + 81883514, + 56720404 + ], + [ + 85799814, + 21066337 + ], + [ + 21768607, + 36453750 + ], + [ + 75364443, + 30556303 + ], + [ + 12016490, + 99776808 + ], + [ + 1908017, + 29124853 + ], + [ + 96463679, + 49045268 + ], + [ + 21137271, + 21549258 + ], + [ + 76338931, + 84054345 + ], + [ + 74611356, + 57171873 + ], + [ + 88795607, + 41970880 + ], + [ + 1306273, + 58808272 + ], + [ + 5520766, + 92754804 + ], + [ + 76883435, + 28615211 + ], + [ + 8854897, + 7576347 + ], + [ + 89747360, + 19888523 + ], + [ + 92705737, + 14873369 + ], + [ + 65154625, + 69238683 + ], + [ + 83309223, + 22827029 + ], + [ + 347542, + 54833304 + ], + [ + 44321039, + 3314949 + ], + [ + 46181571, + 56464483 + ], + [ + 84518906, + 41307009 + ], + [ + 69677840, + 83710663 + ], + [ + 28770165, + 47434389 + ], + [ + 60092461, + 72739096 + ], + [ + 85068101, + 92525282 + ], + [ + 11043700, + 20431588 + ], + [ + 10387284, + 89281012 + ], + [ + 38736530, + 38811514 + ], + [ + 48212222, + 17035687 + ], + [ + 73305418, + 16885321 + ], + [ + 75622547, + 76826589 + ], + [ + 47130515, + 17974400 + ], + [ + 22859683, + 33240755 + ], + [ + 25739142, + 5851407 + ], + [ + 90594045, + 32690502 + ], + [ + 71738581, + 61343795 + ], + [ + 67778220, + 98785829 + ], + [ + 89742461, + 82236300 + ], + [ + 89855909, + 73497041 + ], + [ + 39215443, + 55038823 + ], + [ + 5983447, + 25362556 + ], + [ + 92743039, + 42177790 + ], + [ + 61661897, + 86944628 + ], + [ + 85448153, + 47864664 + ], + [ + 10613877, + 22574570 + ], + [ + 78214035, + 28952187 + ], + [ + 71015419, + 88261617 + ], + [ + 11389727, + 79139420 + ], + [ + 52150017, + 8892148 + ], + [ + 70270251, + 16915197 + ], + [ + 95772720, + 58882411 + ], + [ + 19968204, + 84487022 + ], + [ + 14711138, + 24168151 + ], + [ + 71049752, + 83736842 + ], + [ + 73503712, + 42346215 + ], + [ + 34218413, + 21740834 + ], + [ + 60652862, + 8694108 + ], + [ + 400380, + 9649046 + ], + [ + 4435131, + 57408478 + ], + [ + 26669741, + 10232926 + ], + [ + 28462200, + 57332442 + ], + [ + 31027141, + 28201301 + ], + [ + 18959415, + 79549792 + ], + [ + 59004424, + 62181943 + ], + [ + 30782769, + 2172737 + ], + [ + 27418703, + 9957028 + ], + [ + 79603839, + 86843235 + ], + [ + 90922415, + 77401132 + ], + [ + 81809022, + 91435037 + ], + [ + 30559736, + 13238919 + ], + [ + 2148076, + 35054286 + ], + [ + 11966697, + 5279180 + ], + [ + 65645022, + 26106162 + ], + [ + 53266996, + 4170382 + ], + [ + 74966226, + 30456992 + ], + [ + 48992125, + 27235597 + ], + [ + 91845265, + 37701778 + ], + [ + 34830762, + 68777899 + ], + [ + 44127674, + 35888452 + ], + [ + 48633406, + 80430439 + ], + [ + 55697948, + 96855711 + ], + [ + 15557943, + 18578754 + ], + [ + 17712196, + 18936074 + ], + [ + 9914453, + 52263067 + ], + [ + 6460125, + 68553782 + ], + [ + 14503990, + 79674414 + ], + [ + 70838308, + 87075663 + ], + [ + 98275592, + 6304244 + ], + [ + 72432334, + 37657318 + ], + [ + 26705319, + 99065028 + ], + [ + 46486783, + 60512759 + ], + [ + 68200852, + 91705783 + ], + [ + 33124816, + 1396269 + ], + [ + 82775271, + 13222233 + ], + [ + 76373874, + 1987833 + ], + [ + 90314247, + 52650366 + ], + [ + 27305238, + 55201845 + ], + [ + 78532598, + 56075578 + ], + [ + 38840141, + 93767526 + ], + [ + 62210197, + 86198804 + ], + [ + 9210505, + 12975363 + ], + [ + 6218343, + 41010002 + ], + [ + 15890983, + 87860484 + ], + [ + 95212309, + 78071318 + ], + [ + 13527036, + 46290252 + ], + [ + 3779380, + 87730888 + ], + [ + 81806307, + 20256622 + ], + [ + 50312703, + 26866665 + ], + [ + 75999333, + 1460258 + ], + [ + 50254036, + 59130556 + ], + [ + 81626095, + 23391451 + ], + [ + 93825017, + 62779873 + ], + [ + 70744282, + 96172373 + ], + [ + 21386350, + 89272128 + ], + [ + 38648444, + 44886956 + ], + [ + 71877594, + 14291016 + ], + [ + 67548485, + 23111552 + ], + [ + 52542284, + 32474896 + ], + [ + 29473025, + 9398096 + ], + [ + 6224620, + 29712890 + ], + [ + 26784776, + 71619373 + ], + [ + 44576408, + 52972272 + ], + [ + 42079796, + 809561 + ], + [ + 73656077, + 4597134 + ], + [ + 43961707, + 1972665 + ], + [ + 37910131, + 32397463 + ], + [ + 62044040, + 92363083 + ], + [ + 22813474, + 10787356 + ], + [ + 60549378, + 86615296 + ], + [ + 61448667, + 90877778 + ], + [ + 47247730, + 65120856 + ], + [ + 71950243, + 55297017 + ], + [ + 77621255, + 84335822 + ], + [ + 29716366, + 81876504 + ], + [ + 95816858, + 80559393 + ], + [ + 14679132, + 82775959 + ], + [ + 53202527, + 99944793 + ], + [ + 54483126, + 17152366 + ], + [ + 5040247, + 33266408 + ], + [ + 48642738, + 9193995 + ], + [ + 48326465, + 6439162 + ], + [ + 66973220, + 20110749 + ], + [ + 88656146, + 97613960 + ], + [ + 84922204, + 58351825 + ], + [ + 68847587, + 90624454 + ], + [ + 25328410, + 46331911 + ], + [ + 53203097, + 84257342 + ], + [ + 74305682, + 50611890 + ], + [ + 65450071, + 58274456 + ], + [ + 29635332, + 887108 + ], + [ + 97784906, + 31496319 + ], + [ + 16189918, + 7599516 + ], + [ + 49684163, + 76808301 + ], + [ + 98542281, + 44903694 + ], + [ + 94562162, + 16748015 + ], + [ + 56435605, + 84684959 + ], + [ + 41693738, + 93514999 + ], + [ + 78453241, + 37743517 + ], + [ + 8021068, + 37473807 + ], + [ + 24992445, + 96306546 + ], + [ + 60299787, + 89329447 + ], + [ + 29359500, + 45813730 + ], + [ + 90742359, + 22820160 + ], + [ + 98840793, + 25553135 + ], + [ + 60350310, + 21446865 + ], + [ + 15586885, + 3825484 + ], + [ + 5461533, + 87781246 + ], + [ + 27856978, + 39742449 + ], + [ + 73439840, + 70326358 + ], + [ + 87763339, + 89825604 + ], + [ + 75193739, + 73642859 + ], + [ + 9664606, + 61424330 + ], + [ + 44760947, + 84689311 + ], + [ + 79075022, + 20362483 + ], + [ + 33830673, + 18606764 + ], + [ + 45251766, + 53946739 + ], + [ + 17397924, + 94014202 + ], + [ + 29154870, + 109125 + ], + [ + 72826378, + 50902734 + ], + [ + 56192604, + 61716406 + ], + [ + 64547360, + 10843104 + ], + [ + 13389503, + 6066464 + ], + [ + 68489668, + 36947728 + ], + [ + 7043927, + 38816902 + ], + [ + 18050699, + 30491658 + ], + [ + 21167133, + 5202770 + ], + [ + 42455824, + 16139688 + ], + [ + 25717838, + 77570164 + ], + [ + 21200115, + 2625519 + ], + [ + 48834020, + 46651760 + ], + [ + 94086133, + 5429850 + ], + [ + 41420033, + 32418563 + ], + [ + 54259433, + 98906815 + ], + [ + 83036496, + 19740175 + ], + [ + 94611929, + 2321673 + ], + [ + 92874380, + 10881834 + ], + [ + 91891592, + 33483880 + ], + [ + 28355480, + 8353158 + ], + [ + 82097608, + 4598148 + ], + [ + 46544541, + 67173682 + ], + [ + 40082548, + 15850722 + ], + [ + 21571447, + 93514242 + ], + [ + 1525188, + 4929308 + ], + [ + 25547913, + 57415052 + ], + [ + 46149783, + 21149320 + ], + [ + 31777808, + 73929271 + ], + [ + 17067168, + 95465771 + ], + [ + 22712129, + 52872158 + ], + [ + 28062168, + 80525543 + ], + [ + 82266066, + 70317712 + ], + [ + 84242157, + 43575873 + ], + [ + 35188268, + 69025946 + ], + [ + 17096284, + 49174887 + ], + [ + 68668779, + 13093272 + ], + [ + 66295230, + 23595531 + ], + [ + 66459228, + 66807748 + ], + [ + 88384784, + 38368146 + ], + [ + 27008993, + 18411328 + ], + [ + 26459071, + 29288467 + ], + [ + 36995419, + 53332371 + ], + [ + 85581837, + 58558432 + ], + [ + 38854215, + 43912854 + ], + [ + 22500477, + 6191879 + ], + [ + 19782585, + 47252897 + ], + [ + 86213434, + 44335673 + ], + [ + 33806973, + 93323958 + ], + [ + 47629939, + 78875442 + ], + [ + 41937949, + 62209269 + ], + [ + 57779750, + 94696608 + ], + [ + 23378903, + 37493334 + ], + [ + 53713229, + 52121623 + ], + [ + 55030978, + 14107730 + ], + [ + 35261977, + 27047844 + ], + [ + 28412457, + 10988005 + ], + [ + 22787472, + 60386441 + ], + [ + 56752385, + 51672199 + ], + [ + 91891779, + 90903465 + ], + [ + 83010769, + 64833435 + ], + [ + 89131935, + 7164749 + ], + [ + 55183243, + 85075080 + ], + [ + 72050308, + 79344905 + ], + [ + 83034217, + 93402004 + ], + [ + 41559656, + 49416158 + ], + [ + 11708983, + 69990021 + ], + [ + 95036364, + 84322442 + ], + [ + 71127041, + 42912273 + ], + [ + 52210910, + 41220074 + ], + [ + 83192637, + 45235238 + ], + [ + 63044508, + 62666146 + ], + [ + 25064145, + 16359875 + ], + [ + 99783279, + 42769114 + ], + [ + 91126973, + 35613299 + ], + [ + 92598918, + 52922087 + ], + [ + 5943515, + 19010053 + ], + [ + 41855916, + 23318046 + ], + [ + 43827205, + 65515557 + ], + [ + 88529708, + 9138590 + ], + [ + 28430245, + 39626293 + ], + [ + 71630260, + 71069225 + ], + [ + 57890850, + 24701787 + ], + [ + 61222109, + 83817008 + ], + [ + 27584509, + 81080833 + ], + [ + 70367467, + 58680579 + ], + [ + 81187831, + 4625289 + ], + [ + 57917492, + 38550779 + ], + [ + 31221706, + 60775990 + ], + [ + 10267691, + 53530850 + ], + [ + 26308662, + 90788538 + ], + [ + 70100753, + 50269574 + ], + [ + 52836006, + 75158688 + ], + [ + 55765567, + 87045988 + ], + [ + 78931853, + 2642340 + ], + [ + 93538054, + 84445623 + ], + [ + 10409766, + 53206096 + ], + [ + 91756257, + 61016652 + ], + [ + 54200861, + 92633159 + ], + [ + 8484166, + 65603381 + ], + [ + 78846572, + 7276983 + ], + [ + 39460343, + 93525 + ], + [ + 10814941, + 61927745 + ], + [ + 5847880, + 67134888 + ], + [ + 53691628, + 26612453 + ], + [ + 25526053, + 48344361 + ], + [ + 37138591, + 12356522 + ], + [ + 52156512, + 62811833 + ], + [ + 81553559, + 1254465 + ], + [ + 33271415, + 59106853 + ], + [ + 79660677, + 39800937 + ], + [ + 57162668, + 35198345 + ], + [ + 87153856, + 36332946 + ], + [ + 82824448, + 18049880 + ], + [ + 57680403, + 89452034 + ], + [ + 26887819, + 5670892 + ], + [ + 35146784, + 17693499 + ], + [ + 66297728, + 4855983 + ], + [ + 32543452, + 20146807 + ], + [ + 71417210, + 59969496 + ], + [ + 14113230, + 35119738 + ], + [ + 23194674, + 81431961 + ], + [ + 25388295, + 96202736 + ], + [ + 65437990, + 29145813 + ], + [ + 11022816, + 91915518 + ], + [ + 52526607, + 13748897 + ], + [ + 89687199, + 62194779 + ], + [ + 41727615, + 81726217 + ], + [ + 95284019, + 48228252 + ], + [ + 23709112, + 67947587 + ], + [ + 86998858, + 63181695 + ], + [ + 93049648, + 39296253 + ], + [ + 31329517, + 85961529 + ], + [ + 25625136, + 23904132 + ], + [ + 13968131, + 40823902 + ], + [ + 90465530, + 22691294 + ], + [ + 54899162, + 57751658 + ], + [ + 8548991, + 2775239 + ], + [ + 12510909, + 48400813 + ], + [ + 47614828, + 86990304 + ], + [ + 36619121, + 98091015 + ], + [ + 36611221, + 48166764 + ], + [ + 4095829, + 54648342 + ], + [ + 34994522, + 5920836 + ], + [ + 44128458, + 87112298 + ], + [ + 90471537, + 39468400 + ], + [ + 63003753, + 35904541 + ], + [ + 25391627, + 36341198 + ], + [ + 20467259, + 54531233 + ], + [ + 77079222, + 32443850 + ], + [ + 17602230, + 12845121 + ], + [ + 42812121, + 76874531 + ], + [ + 72311898, + 9215507 + ], + [ + 51260807, + 47801624 + ], + [ + 38271085, + 55029647 + ], + [ + 32466132, + 17872858 + ], + [ + 31171266, + 44233055 + ], + [ + 7738340, + 24616410 + ], + [ + 29523752, + 84158921 + ], + [ + 35075745, + 98349687 + ], + [ + 22215022, + 54269036 + ], + [ + 40238007, + 74675584 + ], + [ + 3224738, + 62516656 + ], + [ + 37331043, + 29260124 + ], + [ + 83228911, + 95843574 + ], + [ + 54792917, + 54756575 + ], + [ + 19663302, + 92478372 + ], + [ + 52558609, + 76444441 + ], + [ + 31447749, + 44917412 + ], + [ + 75123566, + 37343240 + ], + [ + 42776248, + 37258733 + ], + [ + 23790313, + 62584403 + ], + [ + 60361745, + 82103066 + ], + [ + 12848263, + 21888143 + ], + [ + 18951304, + 76005445 + ], + [ + 77056461, + 10261541 + ], + [ + 49139049, + 16761693 + ], + [ + 98610883, + 52440281 + ], + [ + 79613963, + 6430304 + ], + [ + 9251177, + 17107951 + ], + [ + 88296780, + 83579380 + ], + [ + 55506449, + 90699316 + ], + [ + 79776034, + 51132006 + ], + [ + 42208793, + 10330268 + ], + [ + 83569260, + 95403040 + ], + [ + 16680969, + 71528802 + ], + [ + 81722947, + 95154298 + ], + [ + 65725757, + 97309940 + ], + [ + 42733298, + 31562031 + ], + [ + 16349140, + 80265433 + ], + [ + 62904681, + 49977468 + ], + [ + 61150728, + 92585546 + ], + [ + 39350116, + 27008545 + ], + [ + 68889504, + 79736150 + ], + [ + 62984568, + 76200598 + ], + [ + 81940582, + 59842706 + ], + [ + 22363152, + 27082692 + ], + [ + 89526085, + 15490644 + ], + [ + 83339481, + 95264040 + ], + [ + 17444953, + 96367284 + ], + [ + 65649474, + 29351477 + ], + [ + 94296824, + 57931587 + ], + [ + 30705917, + 38817678 + ], + [ + 29897754, + 88077696 + ], + [ + 26072272, + 7632440 + ], + [ + 28356106, + 50734284 + ], + [ + 44921486, + 66145656 + ], + [ + 65584169, + 74129609 + ], + [ + 62663929, + 37688121 + ], + [ + 54859119, + 50503034 + ], + [ + 71576032, + 9648166 + ], + [ + 9791827, + 70802180 + ], + [ + 53477917, + 52551480 + ], + [ + 21710251, + 80086825 + ], + [ + 57419731, + 9960319 + ], + [ + 29477501, + 69351984 + ], + [ + 91805348, + 2082142 + ], + [ + 25683434, + 95693636 + ], + [ + 59815739, + 44176478 + ], + [ + 26031717, + 3674383 + ], + [ + 22303177, + 82949703 + ], + [ + 47195525, + 79984632 + ], + [ + 18386842, + 70513317 + ], + [ + 7667954, + 70352759 + ], + [ + 86922899, + 84431503 + ], + [ + 57570893, + 82369737 + ], + [ + 15184583, + 15663691 + ], + [ + 12630505, + 15436686 + ], + [ + 91106737, + 66543106 + ], + [ + 17572264, + 69597831 + ], + [ + 5895714, + 25101603 + ], + [ + 76131784, + 56690769 + ], + [ + 52730571, + 16974727 + ], + [ + 42870014, + 64023741 + ], + [ + 88711517, + 79885526 + ], + [ + 16745153, + 25259057 + ], + [ + 46001514, + 67468035 + ], + [ + 79471431, + 64114843 + ], + [ + 70681774, + 19152592 + ], + [ + 93284327, + 15112269 + ], + [ + 80334827, + 63186682 + ], + [ + 9454610, + 85805773 + ], + [ + 86059022, + 93917223 + ], + [ + 52934003, + 95372102 + ], + [ + 31567749, + 410627 + ], + [ + 53841443, + 32914659 + ], + [ + 84594690, + 12913758 + ], + [ + 82768969, + 91538145 + ], + [ + 10311473, + 87639676 + ], + [ + 78228245, + 55442754 + ], + [ + 58630814, + 85390208 + ], + [ + 12163852, + 50662544 + ], + [ + 25368781, + 25683666 + ], + [ + 95105608, + 92731828 + ], + [ + 2938336, + 65873563 + ], + [ + 15765013, + 17602414 + ], + [ + 53550708, + 58994705 + ], + [ + 18226658, + 80146174 + ], + [ + 83942781, + 71744466 + ], + [ + 77758874, + 76795384 + ], + [ + 25916668, + 70649793 + ], + [ + 47248212, + 23193392 + ], + [ + 94477721, + 16601305 + ], + [ + 2850250, + 40338172 + ], + [ + 31039785, + 48271803 + ], + [ + 12874367, + 48634670 + ], + [ + 24922830, + 67455655 + ], + [ + 59208526, + 68823220 + ], + [ + 91152680, + 81663439 + ], + [ + 66339794, + 64757952 + ], + [ + 44668205, + 29265186 + ], + [ + 192430, + 41680448 + ], + [ + 60995119, + 64143256 + ], + [ + 74773263, + 57696519 + ], + [ + 58398569, + 35745942 + ], + [ + 53078487, + 26742561 + ], + [ + 81845896, + 25952036 + ], + [ + 29884754, + 96287747 + ], + [ + 40658942, + 45115358 + ], + [ + 43756015, + 88496327 + ], + [ + 6064733, + 90311856 + ], + [ + 8274709, + 7856688 + ], + [ + 26493783, + 15964376 + ], + [ + 77790382, + 88404864 + ], + [ + 56126976, + 8865702 + ], + [ + 18113242, + 94249535 + ], + [ + 41077646, + 43458318 + ], + [ + 87848670, + 94200843 + ], + [ + 61886121, + 3071862 + ], + [ + 7017330, + 84061619 + ], + [ + 69986106, + 6590333 + ], + [ + 70448712, + 76100809 + ], + [ + 50276259, + 79397868 + ], + [ + 4559720, + 55360725 + ], + [ + 21306244, + 73778575 + ], + [ + 69692967, + 44106974 + ], + [ + 21719838, + 4549480 + ], + [ + 35561679, + 73843527 + ], + [ + 10578213, + 15675864 + ], + [ + 82285796, + 46531366 + ], + [ + 47553638, + 52059225 + ], + [ + 96562245, + 9091097 + ], + [ + 33575, + 35004394 + ], + [ + 28828320, + 54906062 + ], + [ + 83700905, + 50346908 + ], + [ + 13778020, + 49383429 + ], + [ + 39335725, + 56096403 + ], + [ + 6365549, + 52982819 + ], + [ + 37437342, + 41176476 + ], + [ + 18172971, + 97673899 + ], + [ + 62442119, + 64540880 + ], + [ + 29776558, + 31864165 + ], + [ + 13524842, + 27268965 + ], + [ + 59356518, + 35368595 + ], + [ + 61097196, + 82709567 + ], + [ + 38888185, + 90782480 + ], + [ + 39035565, + 34706033 + ], + [ + 12930312, + 57449718 + ], + [ + 55212751, + 91302380 + ], + [ + 57332580, + 86049504 + ], + [ + 50599063, + 17228432 + ], + [ + 42699558, + 86492772 + ], + [ + 36862245, + 78304539 + ], + [ + 59469979, + 6207087 + ], + [ + 4053270, + 15655833 + ], + [ + 3054599, + 65276109 + ], + [ + 22160941, + 28178995 + ], + [ + 53627870, + 13664673 + ], + [ + 27217812, + 26158960 + ], + [ + 80578027, + 27660294 + ], + [ + 3085467, + 35154676 + ], + [ + 58210817, + 50747509 + ], + [ + 52469234, + 67239650 + ], + [ + 72730989, + 45554231 + ], + [ + 73405048, + 37305226 + ], + [ + 82375521, + 96252675 + ], + [ + 66900569, + 22354598 + ], + [ + 86935748, + 6058590 + ], + [ + 13437099, + 54609146 + ], + [ + 97161608, + 24477011 + ], + [ + 14491990, + 97708873 + ], + [ + 51536299, + 37726613 + ], + [ + 13876994, + 9503883 + ], + [ + 93584877, + 58216390 + ], + [ + 82962198, + 14997561 + ], + [ + 91355769, + 78530006 + ], + [ + 28796267, + 20817049 + ], + [ + 6586214, + 12674371 + ], + [ + 29338683, + 45489647 + ], + [ + 53587295, + 36120713 + ], + [ + 58855600, + 24956177 + ], + [ + 74960867, + 89067907 + ], + [ + 33310549, + 8581486 + ], + [ + 83584481, + 50931181 + ], + [ + 55895779, + 16134618 + ], + [ + 708314, + 87204915 + ], + [ + 9489182, + 74149841 + ], + [ + 53693279, + 7129744 + ], + [ + 10188816, + 45758919 + ], + [ + 26220325, + 82453258 + ], + [ + 31097643, + 82637786 + ], + [ + 3130465, + 79570326 + ], + [ + 78956536, + 12349034 + ], + [ + 25127996, + 78151340 + ], + [ + 12817943, + 79955646 + ], + [ + 72840476, + 98372208 + ], + [ + 35644608, + 6862921 + ], + [ + 88421151, + 92589456 + ], + [ + 73776148, + 55057520 + ], + [ + 14053639, + 66092463 + ], + [ + 59497498, + 12481651 + ], + [ + 26480079, + 28850689 + ], + [ + 80415339, + 42706072 + ], + [ + 27039110, + 75963725 + ], + [ + 46671281, + 14373015 + ], + [ + 56813749, + 17652772 + ], + [ + 86963317, + 63108131 + ], + [ + 70640164, + 72929780 + ], + [ + 42337451, + 27807 + ], + [ + 86465575, + 91349533 + ], + [ + 38485524, + 85784413 + ], + [ + 84289710, + 8437523 + ], + [ + 87385893, + 32046604 + ], + [ + 64014678, + 24589782 + ], + [ + 6824571, + 46482835 + ], + [ + 71951068, + 78451880 + ], + [ + 70174319, + 65748059 + ], + [ + 54082344, + 87694066 + ], + [ + 90845746, + 16390732 + ], + [ + 14486951, + 81899669 + ], + [ + 32295807, + 18839691 + ], + [ + 78841536, + 32078972 + ], + [ + 50462346, + 37242425 + ], + [ + 21637898, + 60081334 + ], + [ + 96172824, + 41559970 + ], + [ + 85571374, + 12759435 + ], + [ + 30643479, + 44356258 + ], + [ + 118210, + 47576561 + ], + [ + 53061825, + 12319005 + ], + [ + 15641101, + 39700275 + ], + [ + 46700912, + 60258501 + ], + [ + 7350347, + 57591502 + ], + [ + 14580516, + 68734763 + ], + [ + 68629271, + 27272916 + ], + [ + 96427550, + 41561752 + ], + [ + 89493772, + 29392793 + ], + [ + 40579062, + 96940291 + ], + [ + 38442888, + 15075566 + ], + [ + 65781017, + 87067178 + ], + [ + 33963465, + 46255951 + ], + [ + 40793974, + 16801634 + ], + [ + 49824342, + 36896385 + ], + [ + 10804629, + 80477665 + ], + [ + 28089927, + 97649736 + ], + [ + 11959166, + 68302100 + ], + [ + 62891879, + 19278452 + ], + [ + 16757245, + 30464510 + ], + [ + 99524072, + 44832336 + ], + [ + 23568404, + 82508504 + ], + [ + 97850527, + 89073277 + ], + [ + 34588594, + 97333622 + ], + [ + 54002180, + 19261275 + ], + [ + 45609001, + 2935829 + ], + [ + 39462226, + 58140010 + ], + [ + 36375054, + 44622560 + ], + [ + 2049167, + 57255172 + ], + [ + 58618353, + 1380905 + ], + [ + 60724479, + 14067017 + ], + [ + 67365086, + 89067436 + ], + [ + 29504041, + 6051751 + ], + [ + 67505273, + 15024008 + ], + [ + 33556115, + 84387488 + ], + [ + 30172478, + 39428013 + ], + [ + 76655756, + 46203259 + ], + [ + 4876695, + 91708335 + ], + [ + 39910700, + 15161346 + ], + [ + 82789806, + 68130565 + ], + [ + 47324190, + 82816360 + ], + [ + 75064190, + 75662241 + ], + [ + 99467753, + 912159 + ], + [ + 95639082, + 56493121 + ], + [ + 39915384, + 33275344 + ], + [ + 75776847, + 25817388 + ], + [ + 5552098, + 25045847 + ], + [ + 25474751, + 37953223 + ], + [ + 51242383, + 11412614 + ], + [ + 33120805, + 18976039 + ], + [ + 79394007, + 85006297 + ], + [ + 26947131, + 30582731 + ], + [ + 66442880, + 41519397 + ], + [ + 48472801, + 56381037 + ], + [ + 55101940, + 13414009 + ], + [ + 12471357, + 51045183 + ], + [ + 609800, + 39420661 + ], + [ + 60489830, + 43924506 + ], + [ + 52038275, + 41974864 + ], + [ + 23322576, + 68468528 + ], + [ + 75039180, + 79189496 + ], + [ + 29086189, + 51023905 + ], + [ + 31620835, + 13383858 + ], + [ + 57776544, + 71394547 + ], + [ + 65375390, + 53557454 + ], + [ + 82788627, + 86110809 + ], + [ + 22635126, + 18095062 + ], + [ + 15827811, + 68171653 + ], + [ + 87647797, + 49739770 + ], + [ + 81234411, + 71849909 + ], + [ + 71690482, + 82271118 + ], + [ + 49534036, + 30610409 + ], + [ + 53416698, + 32096828 + ], + [ + 46193117, + 78272299 + ], + [ + 83429826, + 8323941 + ], + [ + 88036229, + 13558099 + ], + [ + 86543132, + 74842543 + ], + [ + 2975135, + 40742184 + ], + [ + 71295628, + 1175350 + ], + [ + 14267580, + 24823341 + ], + [ + 94143446, + 38515928 + ], + [ + 57200639, + 90741918 + ], + [ + 22666967, + 21823289 + ], + [ + 95162349, + 62040543 + ], + [ + 33307135, + 85922528 + ], + [ + 68882867, + 85666765 + ], + [ + 91119689, + 8632716 + ], + [ + 13562407, + 14796471 + ], + [ + 75029155, + 94210706 + ], + [ + 14650826, + 28814000 + ], + [ + 19479329, + 19346611 + ], + [ + 23512953, + 59374291 + ], + [ + 95646145, + 30908561 + ], + [ + 63798460, + 47549380 + ], + [ + 64372994, + 31159863 + ], + [ + 15951723, + 23450268 + ], + [ + 17123862, + 31246597 + ], + [ + 61009841, + 8397819 + ], + [ + 92634895, + 67757578 + ], + [ + 38208056, + 33807478 + ], + [ + 8067274, + 61844210 + ], + [ + 70179593, + 48496565 + ], + [ + 28364172, + 1031480 + ], + [ + 61655980, + 31973234 + ], + [ + 14318303, + 5877413 + ], + [ + 48728922, + 95815172 + ], + [ + 42150388, + 22130356 + ], + [ + 31961946, + 28840101 + ], + [ + 49970339, + 78588305 + ], + [ + 37555111, + 81560819 + ], + [ + 11426349, + 65228939 + ], + [ + 87130687, + 89614266 + ], + [ + 65448281, + 75676466 + ], + [ + 8374096, + 25141879 + ], + [ + 49051220, + 26312999 + ], + [ + 5709390, + 41165476 + ], + [ + 41208382, + 10661014 + ], + [ + 29897791, + 80643345 + ], + [ + 23678574, + 64814291 + ], + [ + 37222256, + 65447966 + ], + [ + 47404114, + 22635748 + ], + [ + 5677309, + 99356606 + ], + [ + 79773637, + 10240789 + ], + [ + 56377486, + 6109470 + ], + [ + 89922390, + 11767933 + ], + [ + 59718746, + 95546316 + ], + [ + 19574661, + 24133934 + ], + [ + 10627262, + 69536742 + ], + [ + 10486176, + 92441563 + ], + [ + 16379872, + 86744112 + ], + [ + 28873984, + 32252602 + ], + [ + 1162735, + 14576626 + ], + [ + 74231479, + 13825662 + ], + [ + 28874312, + 98929010 + ], + [ + 78682865, + 3954982 + ], + [ + 7708436, + 69945523 + ], + [ + 85099437, + 51174072 + ], + [ + 27872117, + 92376056 + ], + [ + 73443556, + 27393304 + ], + [ + 77966706, + 44165957 + ], + [ + 76848175, + 55519366 + ], + [ + 48071982, + 28190149 + ], + [ + 16271275, + 85715921 + ], + [ + 19614939, + 80736194 + ], + [ + 49506247, + 18807704 + ], + [ + 52166818, + 95864274 + ], + [ + 14500846, + 84011770 + ], + [ + 86428312, + 28856665 + ], + [ + 2150743, + 71415190 + ], + [ + 19031858, + 2170415 + ], + [ + 92465908, + 52288986 + ], + [ + 45776422, + 3502985 + ], + [ + 51742790, + 72721542 + ], + [ + 87090308, + 85912647 + ], + [ + 66732124, + 33540900 + ], + [ + 61102155, + 84092046 + ], + [ + 39838682, + 19146078 + ], + [ + 54272310, + 20399058 + ], + [ + 79424487, + 69320090 + ], + [ + 10488806, + 39059606 + ], + [ + 28465323, + 23041938 + ], + [ + 31248882, + 31776496 + ], + [ + 18827497, + 68209085 + ], + [ + 80149109, + 99893558 + ], + [ + 93745291, + 11775525 + ], + [ + 10209132, + 76941275 + ], + [ + 70969531, + 48646958 + ], + [ + 62596649, + 20016131 + ], + [ + 29027981, + 38612181 + ], + [ + 13405580, + 60718852 + ], + [ + 32393920, + 28022578 + ], + [ + 17246658, + 40483069 + ], + [ + 1197795, + 28595491 + ], + [ + 20107122, + 47257379 + ], + [ + 68091165, + 9293155 + ], + [ + 61034057, + 50519279 + ], + [ + 75314114, + 21403202 + ], + [ + 52724216, + 66716257 + ], + [ + 71643863, + 81203227 + ], + [ + 92961532, + 90780365 + ], + [ + 65647363, + 28541375 + ], + [ + 97425346, + 52159314 + ], + [ + 32675180, + 70106667 + ], + [ + 23060535, + 52670110 + ], + [ + 85162713, + 9866548 + ], + [ + 35803784, + 4021002 + ], + [ + 59820314, + 38490674 + ], + [ + 24507265, + 31414706 + ], + [ + 28795704, + 74129221 + ], + [ + 56460870, + 27986357 + ], + [ + 72586856, + 53725146 + ], + [ + 54505651, + 13772432 + ], + [ + 35306632, + 14002491 + ], + [ + 18529088, + 64281625 + ], + [ + 67707400, + 14465167 + ], + [ + 66385190, + 64672057 + ], + [ + 33265316, + 42573751 + ], + [ + 73686895, + 77593271 + ], + [ + 71307571, + 53749175 + ], + [ + 6284750, + 81656354 + ], + [ + 39300084, + 85802884 + ], + [ + 8651016, + 59903575 + ], + [ + 85539863, + 88215333 + ], + [ + 72891427, + 97587339 + ], + [ + 1167682, + 80211316 + ], + [ + 10137903, + 71389624 + ], + [ + 41969067, + 45679924 + ], + [ + 49118772, + 21772146 + ], + [ + 83911818, + 5875368 + ], + [ + 3702304, + 59261586 + ], + [ + 98360206, + 28271132 + ], + [ + 18948533, + 5887953 + ], + [ + 66764638, + 8342762 + ], + [ + 67724924, + 41232354 + ], + [ + 28972502, + 82065516 + ], + [ + 42966590, + 62481792 + ], + [ + 35537282, + 78952965 + ], + [ + 46401801, + 39693786 + ], + [ + 98576753, + 25217394 + ], + [ + 66759342, + 66175619 + ], + [ + 26313677, + 13288947 + ], + [ + 44854673, + 68991379 + ], + [ + 65518577, + 64164976 + ], + [ + 3859414, + 95579421 + ], + [ + 66215689, + 8370969 + ], + [ + 74487958, + 65112095 + ], + [ + 4583796, + 33910507 + ], + [ + 45524108, + 19651020 + ], + [ + 11469756, + 79726457 + ], + [ + 88093627, + 47351138 + ], + [ + 55653586, + 9752506 + ], + [ + 56412055, + 94880134 + ], + [ + 46469472, + 64472527 + ], + [ + 12697122, + 73131640 + ], + [ + 18184598, + 29432066 + ], + [ + 73529523, + 12191233 + ], + [ + 62739722, + 13222227 + ], + [ + 2755564, + 98797551 + ], + [ + 46253711, + 82954602 + ], + [ + 90362234, + 6232489 + ], + [ + 18234670, + 44418024 + ], + [ + 45329524, + 53773369 + ], + [ + 16923839, + 57243816 + ], + [ + 35282649, + 88446772 + ], + [ + 72659382, + 22863815 + ], + [ + 44046804, + 39660847 + ], + [ + 61313880, + 95635643 + ], + [ + 88051274, + 20279634 + ], + [ + 51586525, + 84057773 + ], + [ + 65848709, + 29488721 + ], + [ + 50875797, + 28458086 + ], + [ + 98713748, + 64001881 + ], + [ + 51693608, + 82689569 + ], + [ + 15094877, + 80080187 + ], + [ + 70737224, + 37555730 + ], + [ + 20093126, + 95717644 + ], + [ + 72596778, + 81656723 + ], + [ + 60169812, + 42083004 + ], + [ + 76229306, + 16668466 + ], + [ + 16674451, + 94081676 + ], + [ + 9659014, + 60505232 + ], + [ + 36752588, + 35034655 + ], + [ + 9646878, + 24226601 + ], + [ + 1490995, + 86954277 + ], + [ + 3510835, + 839100 + ], + [ + 21801292, + 76137124 + ], + [ + 85474477, + 747533 + ], + [ + 61448045, + 66386173 + ], + [ + 63643752, + 16110637 + ], + [ + 79893597, + 90524448 + ], + [ + 72489551, + 36831241 + ], + [ + 83491658, + 80642274 + ], + [ + 26974188, + 69795982 + ], + [ + 95142238, + 66191280 + ], + [ + 47765977, + 41532629 + ], + [ + 21148353, + 49964199 + ], + [ + 1413405, + 61667898 + ], + [ + 60832993, + 12896632 + ], + [ + 45470992, + 98395015 + ], + [ + 93676716, + 68985806 + ], + [ + 32628809, + 90307516 + ], + [ + 31842010, + 86203824 + ], + [ + 66508868, + 45381468 + ], + [ + 48682281, + 54622925 + ], + [ + 26263599, + 20276027 + ], + [ + 85712648, + 61673562 + ], + [ + 52527387, + 89675727 + ], + [ + 17747118, + 49272086 + ], + [ + 18472950, + 34675043 + ], + [ + 7265827, + 32147032 + ], + [ + 60685933, + 91450010 + ], + [ + 19935317, + 13017743 + ], + [ + 80967082, + 10036712 + ], + [ + 76672674, + 10126925 + ], + [ + 21471074, + 93371122 + ], + [ + 34269897, + 10426529 + ], + [ + 67748956, + 85504054 + ], + [ + 55815898, + 22695219 + ], + [ + 28267780, + 17461268 + ], + [ + 98392433, + 99458198 + ], + [ + 40074826, + 27074625 + ], + [ + 31726619, + 27431606 + ], + [ + 61606240, + 4036755 + ], + [ + 10909765, + 39514487 + ], + [ + 78243127, + 94952612 + ], + [ + 2813352, + 52184697 + ], + [ + 65891294, + 47435971 + ], + [ + 1414647, + 4544463 + ], + [ + 90034066, + 39028209 + ], + [ + 59936603, + 31437151 + ], + [ + 55952990, + 80879297 + ], + [ + 31067688, + 45232603 + ], + [ + 63682234, + 68629168 + ], + [ + 31898532, + 20004022 + ], + [ + 14587453, + 42016373 + ], + [ + 7153484, + 56559101 + ], + [ + 9137244, + 44144993 + ], + [ + 39678043, + 14185456 + ], + [ + 32035898, + 81976841 + ], + [ + 30378188, + 82358178 + ], + [ + 89967870, + 96208586 + ], + [ + 97808045, + 54595214 + ], + [ + 85951663, + 99308137 + ], + [ + 16769099, + 66965614 + ], + [ + 38900369, + 2518507 + ], + [ + 31913706, + 53574086 + ], + [ + 53127972, + 3934726 + ], + [ + 17338246, + 2783575 + ], + [ + 51556830, + 8885180 + ], + [ + 89498261, + 65375392 + ], + [ + 90067524, + 33760938 + ], + [ + 43828831, + 89959196 + ], + [ + 97954110, + 15026270 + ], + [ + 8341635, + 45790211 + ], + [ + 15613030, + 70905726 + ], + [ + 60035930, + 30464429 + ], + [ + 5855759, + 73654892 + ], + [ + 29025376, + 41178924 + ], + [ + 9662296, + 94826486 + ], + [ + 62825958, + 21858455 + ], + [ + 81471662, + 26572769 + ], + [ + 65723731, + 95774851 + ], + [ + 10182049, + 71019509 + ], + [ + 40312856, + 80487693 + ], + [ + 81279210, + 57139946 + ], + [ + 35677648, + 13679318 + ], + [ + 87784982, + 27823324 + ], + [ + 25899017, + 86967664 + ], + [ + 33158321, + 27227027 + ], + [ + 54167182, + 37417029 + ], + [ + 48406187, + 24042767 + ], + [ + 15568636, + 53326794 + ], + [ + 18671718, + 41911824 + ], + [ + 1145645, + 90780199 + ], + [ + 57289453, + 39593061 + ], + [ + 30891557, + 29525540 + ], + [ + 89774263, + 82448981 + ], + [ + 87305865, + 73929056 + ], + [ + 61486297, + 74090411 + ], + [ + 4084566, + 80527044 + ], + [ + 36582426, + 86502791 + ], + [ + 83582878, + 55295180 + ], + [ + 426959, + 44560442 + ], + [ + 43872619, + 93704470 + ], + [ + 91179940, + 32286383 + ], + [ + 92916247, + 63981107 + ], + [ + 61824123, + 35409948 + ], + [ + 69752910, + 27346289 + ], + [ + 18612208, + 8141159 + ], + [ + 22511743, + 72308150 + ], + [ + 74948577, + 7188402 + ], + [ + 48912783, + 96901929 + ], + [ + 63426379, + 78164654 + ], + [ + 9860249, + 83070688 + ], + [ + 53571171, + 54107058 + ], + [ + 71210169, + 10954924 + ], + [ + 73249725, + 55926672 + ], + [ + 7941182, + 64727110 + ], + [ + 21188635, + 43681118 + ], + [ + 2666978, + 16156026 + ], + [ + 70599710, + 45312768 + ], + [ + 59203813, + 62303067 + ], + [ + 36138105, + 52673350 + ], + [ + 77986784, + 1598505 + ], + [ + 38328608, + 40869238 + ], + [ + 16916269, + 74155067 + ], + [ + 87875691, + 17166114 + ], + [ + 63115152, + 39006698 + ], + [ + 33827465, + 29565849 + ], + [ + 17381126, + 57472942 + ], + [ + 36924158, + 15321228 + ], + [ + 40581161, + 62068654 + ], + [ + 79295732, + 83658820 + ], + [ + 37422932, + 70406290 + ], + [ + 23898259, + 7526027 + ], + [ + 8165349, + 72643076 + ], + [ + 99793473, + 70484488 + ], + [ + 79475548, + 48035889 + ], + [ + 96972722, + 16234005 + ], + [ + 33174365, + 16813910 + ], + [ + 76158176, + 22103549 + ], + [ + 29749095, + 10831174 + ], + [ + 10702415, + 11761360 + ], + [ + 30868922, + 93634610 + ], + [ + 35943182, + 38963659 + ], + [ + 43171528, + 8516649 + ], + [ + 84471563, + 56353768 + ], + [ + 25698936, + 78338014 + ], + [ + 24842289, + 67531984 + ], + [ + 44810843, + 58303940 + ], + [ + 67491984, + 82904342 + ], + [ + 89172213, + 22393050 + ], + [ + 43685689, + 44137374 + ], + [ + 23115833, + 24455197 + ], + [ + 38199342, + 49595838 + ], + [ + 57289119, + 52314090 + ], + [ + 24491814, + 89328457 + ], + [ + 74046054, + 16367465 + ], + [ + 34197796, + 19101656 + ], + [ + 58187793, + 79038302 + ], + [ + 54835480, + 16901716 + ], + [ + 6807586, + 60709127 + ], + [ + 95695237, + 79011637 + ], + [ + 91409702, + 30877841 + ], + [ + 69791566, + 49717760 + ], + [ + 39225975, + 43319217 + ], + [ + 20962650, + 68535461 + ], + [ + 30478891, + 94247732 + ], + [ + 39845566, + 14819994 + ], + [ + 10543352, + 71755216 + ], + [ + 29337359, + 85037169 + ], + [ + 14009968, + 47368999 + ], + [ + 6775822, + 70520956 + ], + [ + 75991382, + 50989430 + ], + [ + 95223870, + 97007978 + ], + [ + 15249250, + 21191974 + ], + [ + 8883576, + 41435580 + ], + [ + 27183567, + 85972684 + ], + [ + 81325413, + 45539191 + ], + [ + 19056976, + 12428936 + ], + [ + 18318181, + 82811723 + ], + [ + 4874228, + 99383933 + ], + [ + 40547996, + 85388299 + ], + [ + 8645401, + 90121422 + ], + [ + 42273791, + 73760827 + ], + [ + 45614259, + 87690658 + ], + [ + 46032446, + 16338049 + ], + [ + 62733127, + 77609022 + ], + [ + 56500204, + 14615207 + ], + [ + 13379174, + 35200827 + ], + [ + 23317394, + 51396055 + ], + [ + 31885308, + 51553107 + ], + [ + 37489355, + 90786046 + ], + [ + 74094490, + 14053828 + ], + [ + 55108804, + 91372833 + ], + [ + 50941131, + 27119518 + ], + [ + 51240598, + 11434580 + ], + [ + 43838240, + 21481308 + ], + [ + 98318773, + 1501718 + ], + [ + 32451488, + 11495405 + ], + [ + 36400149, + 42366287 + ], + [ + 21161670, + 44170009 + ], + [ + 21333936, + 69859667 + ], + [ + 49407127, + 79851554 + ], + [ + 44434737, + 45122370 + ], + [ + 31877708, + 52414565 + ], + [ + 40230316, + 5789986 + ], + [ + 23361634, + 15480432 + ], + [ + 38904591, + 887872 + ], + [ + 418194, + 64920595 + ], + [ + 61552211, + 36765437 + ], + [ + 53892370, + 36098440 + ], + [ + 2984064, + 17332958 + ], + [ + 62494141, + 60316723 + ], + [ + 27599312, + 3774542 + ], + [ + 52485219, + 20313486 + ], + [ + 80627976, + 29391186 + ], + [ + 78359743, + 43484464 + ], + [ + 6072279, + 97092564 + ], + [ + 57997619, + 58505285 + ], + [ + 57707575, + 29270764 + ], + [ + 73818233, + 53488034 + ], + [ + 80183773, + 55205545 + ], + [ + 90854, + 55793852 + ], + [ + 1175441, + 65970886 + ], + [ + 85993123, + 2473966 + ], + [ + 98652249, + 79934555 + ], + [ + 50927918, + 72364222 + ], + [ + 35435001, + 81342220 + ], + [ + 39614208, + 54771865 + ], + [ + 42657145, + 81660275 + ], + [ + 70323925, + 35695954 + ], + [ + 41855982, + 63408442 + ], + [ + 86561835, + 23796317 + ], + [ + 52276147, + 47458647 + ], + [ + 844417, + 8588834 + ], + [ + 51797732, + 28272559 + ], + [ + 30970523, + 98318747 + ], + [ + 24848169, + 50754050 + ], + [ + 13941523, + 19662699 + ], + [ + 90334397, + 38496481 + ], + [ + 99561419, + 63916067 + ], + [ + 83885248, + 62388649 + ], + [ + 19429814, + 13529282 + ], + [ + 49121474, + 6226048 + ], + [ + 69987568, + 22114136 + ], + [ + 14012280, + 80263145 + ], + [ + 77183596, + 53719143 + ], + [ + 40354497, + 54024638 + ], + [ + 49870590, + 48491519 + ], + [ + 68975860, + 53146820 + ], + [ + 40931929, + 52833829 + ], + [ + 3875216, + 74849796 + ], + [ + 63885709, + 29580340 + ], + [ + 74170666, + 70633876 + ], + [ + 70785430, + 85205458 + ], + [ + 26218868, + 56499248 + ], + [ + 58187161, + 23414786 + ], + [ + 53375193, + 63145196 + ], + [ + 10907601, + 42444516 + ], + [ + 86767757, + 38581039 + ], + [ + 65541543, + 29121142 + ], + [ + 22007206, + 44569914 + ], + [ + 87208980, + 57617529 + ], + [ + 40039086, + 47806262 + ], + [ + 85067253, + 26134442 + ], + [ + 69276433, + 30037728 + ], + [ + 87948535, + 4313872 + ], + [ + 16265590, + 97277622 + ], + [ + 10418041, + 85714845 + ], + [ + 24737272, + 46589146 + ], + [ + 78758518, + 91849223 + ], + [ + 10539541, + 14162168 + ], + [ + 32812637, + 24124544 + ], + [ + 62491726, + 19359816 + ], + [ + 31667765, + 72606938 + ], + [ + 39518982, + 41859390 + ], + [ + 44105888, + 3481733 + ], + [ + 2838863, + 65306686 + ], + [ + 43227758, + 7534306 + ], + [ + 14403533, + 37385877 + ], + [ + 38922699, + 42588259 + ], + [ + 90007473, + 22067996 + ], + [ + 92262838, + 87837404 + ], + [ + 40324921, + 29667085 + ], + [ + 67945055, + 5566688 + ], + [ + 84989239, + 78802917 + ], + [ + 78212086, + 76772555 + ], + [ + 15745637, + 14654660 + ], + [ + 44020008, + 5426459 + ], + [ + 92769137, + 88638788 + ], + [ + 3128100, + 42920597 + ], + [ + 25553459, + 32974679 + ], + [ + 75760060, + 82188112 + ], + [ + 53525629, + 98869926 + ], + [ + 69089789, + 69821617 + ], + [ + 88570852, + 95588923 + ], + [ + 32432344, + 20429500 + ], + [ + 58259975, + 98388451 + ], + [ + 16616239, + 63919380 + ], + [ + 67150796, + 83253626 + ], + [ + 6042108, + 71416087 + ], + [ + 24685120, + 22379613 + ], + [ + 35981914, + 54267795 + ], + [ + 79571503, + 92927114 + ], + [ + 97575625, + 76415883 + ], + [ + 27876726, + 15731106 + ], + [ + 77384727, + 94612150 + ], + [ + 28796785, + 49463642 + ], + [ + 73460530, + 10451798 + ], + [ + 44303681, + 49774819 + ], + [ + 25706200, + 14528100 + ], + [ + 64099936, + 94367530 + ], + [ + 2883069, + 15118107 + ], + [ + 94160589, + 4891459 + ], + [ + 54054566, + 72355633 + ], + [ + 4997645, + 42438778 + ], + [ + 11221382, + 509961 + ], + [ + 41284541, + 98859655 + ], + [ + 14176523, + 67710383 + ], + [ + 62198287, + 13705861 + ], + [ + 4746882, + 1965036 + ], + [ + 2145548, + 95936853 + ], + [ + 14184476, + 54102303 + ], + [ + 90842105, + 40561305 + ], + [ + 85359245, + 30426288 + ], + [ + 28927481, + 31742900 + ], + [ + 27976532, + 33035046 + ], + [ + 8214979, + 37362814 + ], + [ + 49579015, + 82668279 + ], + [ + 17643773, + 86670509 + ], + [ + 77978712, + 24145455 + ], + [ + 75559704, + 9498193 + ], + [ + 54194314, + 72399518 + ], + [ + 62929266, + 39792840 + ], + [ + 81213559, + 17418028 + ], + [ + 28064825, + 6494037 + ], + [ + 92781648, + 10975156 + ], + [ + 39748948, + 48942205 + ], + [ + 25637028, + 76423013 + ], + [ + 93160953, + 17788759 + ], + [ + 27923851, + 43019348 + ], + [ + 62502060, + 61811242 + ], + [ + 37367242, + 63521169 + ], + [ + 75212641, + 30197622 + ], + [ + 73120814, + 70901315 + ], + [ + 21284460, + 59027769 + ], + [ + 82938896, + 98296507 + ], + [ + 56556480, + 87022044 + ], + [ + 83969566, + 30425146 + ], + [ + 5749095, + 18808491 + ], + [ + 97723249, + 31178257 + ], + [ + 79004284, + 35931696 + ], + [ + 16893601, + 5852886 + ], + [ + 16903499, + 66132875 + ], + [ + 62387143, + 56637888 + ], + [ + 3702657, + 39805942 + ], + [ + 95441914, + 54301834 + ], + [ + 56664561, + 30953002 + ], + [ + 47301021, + 8875862 + ], + [ + 37609958, + 30667795 + ], + [ + 97301042, + 66590328 + ], + [ + 26821986, + 12782923 + ], + [ + 36961977, + 53472807 + ], + [ + 19330151, + 95573013 + ], + [ + 99354747, + 81764698 + ], + [ + 66659398, + 43620074 + ], + [ + 28627469, + 45356689 + ], + [ + 51985701, + 66477147 + ], + [ + 64148500, + 91985836 + ], + [ + 39312554, + 19858658 + ], + [ + 26026171, + 26971915 + ], + [ + 82765603, + 58238291 + ], + [ + 86632124, + 38611308 + ], + [ + 35207999, + 86907116 + ], + [ + 57431807, + 54411453 + ], + [ + 98832100, + 46631348 + ], + [ + 97918273, + 41661516 + ], + [ + 76531725, + 19943667 + ], + [ + 63437132, + 74610940 + ], + [ + 58279593, + 3643036 + ], + [ + 79080814, + 54218600 + ], + [ + 44836840, + 92986435 + ], + [ + 90791285, + 87806673 + ], + [ + 96284697, + 87818078 + ], + [ + 6216641, + 13544333 + ], + [ + 10083978, + 88593118 + ], + [ + 49426645, + 32513718 + ], + [ + 95341311, + 62276138 + ], + [ + 6450007, + 87368833 + ], + [ + 15963676, + 76891336 + ], + [ + 70740950, + 57731442 + ], + [ + 68152968, + 68013381 + ], + [ + 14643070, + 58586719 + ], + [ + 82671348, + 9729859 + ], + [ + 56269583, + 77741898 + ], + [ + 18653824, + 34634700 + ], + [ + 32630645, + 117589 + ], + [ + 32665285, + 67751007 + ], + [ + 29798548, + 14524633 + ], + [ + 79828912, + 51056910 + ], + [ + 38065872, + 52865937 + ], + [ + 58374043, + 62577416 + ], + [ + 567995, + 7640323 + ], + [ + 62848117, + 13621462 + ], + [ + 93594696, + 78580994 + ], + [ + 73168678, + 42579629 + ], + [ + 34307703, + 14881639 + ], + [ + 44664222, + 74959908 + ], + [ + 4217648, + 69115255 + ], + [ + 50830213, + 46840572 + ], + [ + 2543360, + 30323433 + ], + [ + 8037361, + 7540839 + ], + [ + 25189460, + 25222178 + ], + [ + 39969319, + 1244255 + ], + [ + 7404737, + 90255458 + ], + [ + 44314399, + 18767377 + ], + [ + 27186971, + 55636171 + ], + [ + 83610776, + 6055446 + ], + [ + 18868741, + 65553894 + ], + [ + 51072468, + 69912229 + ], + [ + 53003273, + 77583019 + ], + [ + 71272222, + 20246008 + ], + [ + 70905038, + 90384332 + ], + [ + 99687478, + 29594809 + ], + [ + 18951821, + 74281173 + ], + [ + 18349741, + 48357057 + ], + [ + 91941043, + 42937087 + ], + [ + 60035644, + 91289934 + ], + [ + 48995947, + 95214619 + ], + [ + 16325446, + 25260767 + ], + [ + 12055584, + 13960156 + ], + [ + 7414631, + 48415312 + ], + [ + 35320506, + 52766980 + ], + [ + 82090297, + 4803690 + ], + [ + 22404731, + 2734716 + ], + [ + 95832041, + 35198043 + ], + [ + 81578555, + 35580557 + ], + [ + 69752548, + 8481959 + ], + [ + 12582771, + 33756719 + ], + [ + 17173799, + 1324284 + ], + [ + 76218064, + 83509141 + ], + [ + 64582644, + 5292129 + ], + [ + 4563863, + 64568496 + ], + [ + 99367627, + 63471713 + ], + [ + 11129632, + 36283668 + ], + [ + 15441033, + 59597985 + ], + [ + 77527376, + 23678941 + ], + [ + 95345987, + 29428322 + ], + [ + 63934671, + 12460892 + ], + [ + 84876465, + 23483103 + ], + [ + 59385089, + 92822744 + ], + [ + 51552431, + 29987572 + ], + [ + 72158533, + 96750122 + ], + [ + 77299430, + 35589262 + ], + [ + 22000399, + 76497101 + ], + [ + 75672116, + 88275935 + ], + [ + 30644735, + 5358748 + ], + [ + 5414361, + 66188656 + ], + [ + 53232640, + 30086364 + ], + [ + 13434157, + 60633091 + ], + [ + 98705274, + 81456340 + ], + [ + 76615472, + 56334916 + ], + [ + 8179201, + 20286028 + ], + [ + 76782339, + 6147742 + ], + [ + 45796033, + 50080252 + ], + [ + 30771774, + 83814427 + ], + [ + 86775976, + 32486309 + ], + [ + 92456093, + 97231151 + ], + [ + 81945763, + 43412637 + ], + [ + 74099423, + 40849181 + ], + [ + 16084699, + 39219629 + ], + [ + 46307262, + 42932211 + ], + [ + 41569146, + 29297839 + ], + [ + 67797216, + 82380518 + ], + [ + 51810747, + 82645822 + ], + [ + 93885181, + 17461542 + ], + [ + 91051991, + 30502051 + ], + [ + 4869098, + 56137260 + ], + [ + 74473733, + 27074808 + ], + [ + 20362846, + 39958589 + ], + [ + 79523161, + 22084636 + ], + [ + 593843, + 79398585 + ], + [ + 56274187, + 837473 + ], + [ + 19424242, + 23574075 + ], + [ + 12385119, + 12725717 + ], + [ + 21656643, + 22004530 + ], + [ + 49467997, + 35556266 + ], + [ + 69363368, + 90044865 + ], + [ + 47614663, + 42502156 + ], + [ + 68240606, + 71297860 + ], + [ + 85609411, + 89567487 + ], + [ + 34270228, + 30926013 + ], + [ + 28176598, + 36706452 + ], + [ + 27249450, + 24190343 + ], + [ + 95481418, + 10427842 + ], + [ + 3268563, + 78416144 + ], + [ + 98997925, + 99173647 + ], + [ + 50201592, + 86801026 + ], + [ + 42627391, + 14636491 + ], + [ + 24272660, + 97241529 + ], + [ + 65460218, + 13691498 + ], + [ + 9616235, + 34865149 + ], + [ + 77331864, + 48644410 + ], + [ + 4231296, + 69457023 + ], + [ + 21019412, + 97579786 + ], + [ + 1292370, + 94948081 + ], + [ + 91932334, + 52726609 + ], + [ + 64012874, + 6475021 + ], + [ + 80967753, + 73647136 + ], + [ + 62165448, + 4035245 + ], + [ + 48764596, + 62348538 + ], + [ + 16479841, + 17971790 + ], + [ + 62484080, + 90044890 + ], + [ + 62951895, + 39557804 + ], + [ + 44631619, + 73584371 + ], + [ + 7388359, + 57225341 + ], + [ + 72074998, + 79055231 + ], + [ + 31557042, + 42164903 + ], + [ + 18970358, + 17108332 + ], + [ + 21315529, + 41161640 + ], + [ + 61896580, + 58658210 + ], + [ + 51780257, + 87960510 + ], + [ + 85160015, + 84549751 + ], + [ + 53031832, + 1775795 + ], + [ + 50863312, + 78689435 + ], + [ + 94513547, + 62836432 + ], + [ + 16292042, + 14071322 + ], + [ + 45044433, + 84885328 + ], + [ + 95573668, + 75214524 + ], + [ + 67985310, + 21647747 + ], + [ + 46944985, + 81483814 + ], + [ + 11823247, + 71318389 + ], + [ + 96053734, + 42291130 + ], + [ + 78283145, + 51787507 + ], + [ + 28243527, + 15846585 + ], + [ + 72312902, + 35361899 + ], + [ + 90074153, + 24665766 + ], + [ + 19041365, + 65279865 + ], + [ + 81420541, + 99810632 + ], + [ + 49529050, + 83855688 + ], + [ + 47660286, + 90491071 + ], + [ + 81663323, + 50071847 + ], + [ + 45627084, + 62377002 + ], + [ + 62631357, + 53952611 + ], + [ + 29164451, + 23915873 + ], + [ + 21410022, + 27682062 + ], + [ + 94045684, + 23906402 + ], + [ + 7134454, + 61497915 + ], + [ + 28185310, + 54862778 + ], + [ + 63783867, + 42293863 + ], + [ + 71191866, + 53976996 + ], + [ + 40589861, + 65643200 + ], + [ + 24230625, + 20758230 + ], + [ + 99206217, + 61931055 + ], + [ + 62459952, + 61079358 + ], + [ + 20793410, + 74266692 + ], + [ + 47465909, + 375481 + ], + [ + 27437080, + 28293938 + ], + [ + 59529863, + 17386364 + ], + [ + 67732070, + 38208622 + ], + [ + 43656614, + 81415316 + ], + [ + 14198805, + 6395708 + ], + [ + 99634468, + 93245554 + ], + [ + 80402886, + 20186822 + ], + [ + 34313067, + 1531076 + ], + [ + 96319193, + 22380260 + ], + [ + 62560871, + 44286561 + ], + [ + 56482772, + 76211734 + ], + [ + 91933334, + 71781523 + ], + [ + 16921010, + 28499646 + ], + [ + 69017958, + 71794286 + ], + [ + 19651271, + 62258299 + ], + [ + 17504277, + 22196131 + ], + [ + 7177788, + 61175122 + ], + [ + 17870238, + 52083487 + ], + [ + 71537579, + 23324286 + ], + [ + 65927392, + 4764495 + ], + [ + 49037101, + 66919067 + ], + [ + 28088884, + 28242655 + ], + [ + 44745446, + 41627796 + ], + [ + 64401658, + 1168994 + ], + [ + 61433358, + 67173517 + ], + [ + 90615737, + 90448440 + ], + [ + 81927900, + 59613330 + ], + [ + 38258967, + 55786463 + ], + [ + 3252532, + 68404454 + ], + [ + 74358814, + 95491788 + ], + [ + 41846586, + 93034031 + ], + [ + 66244308, + 54459806 + ], + [ + 48535632, + 96359127 + ], + [ + 753289, + 22318095 + ], + [ + 34242489, + 15317911 + ], + [ + 98386762, + 81060542 + ], + [ + 71195430, + 46210150 + ], + [ + 46234823, + 89770534 + ], + [ + 19279040, + 72942510 + ], + [ + 43751207, + 37454126 + ], + [ + 89333078, + 42907590 + ], + [ + 53861422, + 51961623 + ], + [ + 49516464, + 82418817 + ], + [ + 16657612, + 18686281 + ], + [ + 22015719, + 54312526 + ], + [ + 97377905, + 35239861 + ], + [ + 83249871, + 59612018 + ], + [ + 29496925, + 1116866 + ], + [ + 89286139, + 37536498 + ], + [ + 73859859, + 94189857 + ], + [ + 42707096, + 86163070 + ], + [ + 15787164, + 29029194 + ], + [ + 99330598, + 33983029 + ], + [ + 87741323, + 27849141 + ], + [ + 764163, + 40837295 + ], + [ + 56730046, + 161811 + ], + [ + 61728685, + 9893122 + ], + [ + 79808304, + 76725892 + ], + [ + 81024477, + 11568227 + ], + [ + 87860159, + 96999971 + ], + [ + 96344967, + 23824341 + ], + [ + 91693423, + 99497862 + ], + [ + 96706606, + 96118264 + ], + [ + 60967464, + 42518398 + ], + [ + 26517676, + 65836270 + ], + [ + 57667966, + 73006524 + ], + [ + 13521946, + 11730568 + ], + [ + 47265655, + 99058241 + ], + [ + 63121087, + 18147617 + ], + [ + 41730807, + 94491021 + ], + [ + 20323474, + 92541761 + ], + [ + 80044612, + 5470331 + ], + [ + 51961199, + 34472709 + ], + [ + 80624379, + 35863170 + ], + [ + 51498858, + 75995207 + ], + [ + 45479134, + 12328746 + ], + [ + 12757196, + 93975995 + ], + [ + 26182741, + 42758064 + ], + [ + 58746142, + 84020737 + ], + [ + 15742215, + 31912782 + ], + [ + 51310846, + 5260049 + ], + [ + 7597949, + 88914257 + ], + [ + 14776281, + 84807343 + ], + [ + 56865287, + 32013038 + ], + [ + 13018556, + 93071382 + ], + [ + 40222494, + 26879988 + ], + [ + 34147560, + 85147355 + ], + [ + 87605738, + 98935402 + ], + [ + 14981673, + 71328806 + ], + [ + 25790168, + 59832672 + ], + [ + 60196551, + 76627352 + ], + [ + 33535463, + 79410010 + ], + [ + 71695223, + 86827126 + ], + [ + 1522145, + 76065591 + ], + [ + 21981293, + 24944409 + ], + [ + 62544255, + 18810990 + ], + [ + 50213492, + 16899194 + ], + [ + 15796212, + 90085534 + ], + [ + 10083805, + 48046565 + ], + [ + 90309569, + 73701607 + ], + [ + 29976293, + 19371795 + ], + [ + 18644228, + 91768253 + ], + [ + 48276008, + 29471710 + ], + [ + 25141780, + 43241488 + ], + [ + 35447691, + 60611203 + ], + [ + 78713365, + 18931430 + ], + [ + 13986180, + 60331686 + ], + [ + 95920009, + 41868537 + ], + [ + 1118535, + 70626536 + ], + [ + 85583712, + 74164116 + ], + [ + 79433397, + 72356320 + ], + [ + 83788413, + 9957438 + ], + [ + 76058435, + 72665395 + ], + [ + 96513196, + 9796919 + ], + [ + 65456147, + 33581433 + ], + [ + 50033623, + 87074317 + ], + [ + 37571633, + 83030891 + ], + [ + 36819641, + 3837974 + ], + [ + 75559328, + 55190883 + ], + [ + 43188361, + 68064180 + ], + [ + 14056537, + 61635004 + ], + [ + 76369840, + 61952387 + ], + [ + 72311269, + 26080941 + ], + [ + 54478116, + 74686269 + ], + [ + 12805836, + 25380555 + ], + [ + 12680237, + 16127214 + ], + [ + 93972290, + 2551071 + ], + [ + 48557868, + 86911861 + ], + [ + 76704653, + 32575231 + ], + [ + 85872070, + 49445150 + ], + [ + 13750092, + 74155079 + ], + [ + 56828050, + 79666148 + ], + [ + 38596591, + 15164678 + ], + [ + 34750227, + 43121732 + ], + [ + 58844634, + 23269550 + ], + [ + 50706743, + 56387904 + ], + [ + 5964876, + 42448041 + ], + [ + 13616278, + 50446129 + ], + [ + 65769085, + 95458126 + ], + [ + 73314733, + 50406908 + ], + [ + 54823845, + 68544558 + ], + [ + 39149961, + 48680262 + ], + [ + 27881045, + 87201161 + ], + [ + 15430388, + 8806388 + ], + [ + 22292235, + 32392982 + ], + [ + 92199417, + 60331279 + ], + [ + 21000989, + 986055 + ], + [ + 42954892, + 15231240 + ], + [ + 29851183, + 6587456 + ], + [ + 19679045, + 7381941 + ], + [ + 96124729, + 82016071 + ], + [ + 10746383, + 74525516 + ], + [ + 60946665, + 20532930 + ], + [ + 31973347, + 3839741 + ], + [ + 95244804, + 88427091 + ], + [ + 92856923, + 68358804 + ], + [ + 13246511, + 37364948 + ], + [ + 24639332, + 65597710 + ], + [ + 97277445, + 88640403 + ], + [ + 46891199, + 77819304 + ], + [ + 94897942, + 68010807 + ], + [ + 78606666, + 53966481 + ], + [ + 10289050, + 2585220 + ], + [ + 26300529, + 45232432 + ], + [ + 51198238, + 66809187 + ], + [ + 21215639, + 91154067 + ], + [ + 26242058, + 74651885 + ], + [ + 17721796, + 31432124 + ], + [ + 55289410, + 27846852 + ], + [ + 79379025, + 88025449 + ], + [ + 65441586, + 55035332 + ], + [ + 60096829, + 5547853 + ], + [ + 87742799, + 14461784 + ], + [ + 84407918, + 70081800 + ], + [ + 97346037, + 88150252 + ], + [ + 14287449, + 30498656 + ], + [ + 8548841, + 9387488 + ], + [ + 49508577, + 76647294 + ], + [ + 20933213, + 28248421 + ], + [ + 78974741, + 86234680 + ], + [ + 79159620, + 36535267 + ], + [ + 6537823, + 1266116 + ], + [ + 5807024, + 82828339 + ], + [ + 28034005, + 5091324 + ], + [ + 49686667, + 64189998 + ], + [ + 28532441, + 32474635 + ], + [ + 66477166, + 31839575 + ], + [ + 99315656, + 30379542 + ], + [ + 8943977, + 9496609 + ], + [ + 65208896, + 17088303 + ], + [ + 23966542, + 70539623 + ], + [ + 76888749, + 54734099 + ], + [ + 695798, + 46802604 + ], + [ + 50509151, + 42791279 + ], + [ + 4148542, + 54884098 + ], + [ + 58984297, + 32066059 + ], + [ + 53165906, + 27732806 + ], + [ + 52735465, + 73434639 + ], + [ + 7793112, + 85560912 + ], + [ + 15708122, + 5756716 + ], + [ + 82944934, + 17338833 + ], + [ + 40939652, + 29898647 + ], + [ + 29458867, + 97146541 + ], + [ + 97812380, + 32448058 + ], + [ + 23792113, + 61305965 + ], + [ + 20888925, + 51322862 + ], + [ + 21672329, + 80115913 + ], + [ + 71104542, + 76999721 + ], + [ + 76871080, + 94691932 + ], + [ + 19945221, + 40213001 + ], + [ + 81325904, + 45321748 + ], + [ + 51515068, + 20184249 + ], + [ + 4697172, + 57890438 + ], + [ + 68664970, + 12372972 + ], + [ + 42322865, + 67701089 + ], + [ + 2070230, + 12938251 + ], + [ + 36360253, + 19255538 + ], + [ + 15730773, + 43057174 + ], + [ + 65168318, + 85708396 + ], + [ + 22096197, + 52725843 + ], + [ + 965337, + 8116173 + ], + [ + 41022700, + 49139248 + ], + [ + 73453331, + 38162366 + ], + [ + 63654125, + 37702610 + ], + [ + 10720767, + 6356236 + ], + [ + 66004479, + 45873788 + ], + [ + 24879732, + 67504280 + ], + [ + 30881913, + 38051984 + ], + [ + 68997880, + 6530977 + ], + [ + 10536517, + 84709352 + ], + [ + 92420860, + 22513531 + ], + [ + 77468052, + 4545717 + ], + [ + 66943433, + 48828794 + ], + [ + 31366908, + 99258423 + ], + [ + 41817685, + 36966259 + ], + [ + 67592243, + 12028227 + ], + [ + 37253192, + 29602695 + ], + [ + 67549441, + 51306236 + ], + [ + 28390207, + 40236902 + ], + [ + 37061273, + 28341345 + ], + [ + 55867142, + 86404614 + ], + [ + 50594992, + 95451152 + ], + [ + 96471196, + 25739597 + ], + [ + 6254626, + 87657164 + ], + [ + 2492256, + 15148918 + ], + [ + 79754185, + 83813199 + ], + [ + 90504319, + 21451832 + ], + [ + 36945887, + 5048425 + ], + [ + 89186907, + 6262994 + ], + [ + 98046238, + 13440249 + ], + [ + 81221269, + 73343873 + ], + [ + 53938046, + 42550203 + ], + [ + 64563267, + 32065873 + ], + [ + 16736531, + 45388731 + ], + [ + 55834928, + 20787975 + ], + [ + 4435964, + 74477703 + ], + [ + 88724641, + 48589300 + ], + [ + 4263947, + 19980344 + ], + [ + 59739949, + 46108135 + ], + [ + 82465720, + 27102588 + ], + [ + 97111809, + 46330746 + ], + [ + 80476972, + 39187129 + ], + [ + 87294135, + 15605361 + ], + [ + 80284760, + 30447969 + ], + [ + 56454729, + 99996494 + ], + [ + 56185415, + 43332165 + ], + [ + 57125808, + 13710327 + ], + [ + 45850836, + 4396032 + ], + [ + 49995288, + 25679992 + ], + [ + 74767881, + 86553592 + ], + [ + 73246360, + 74251033 + ], + [ + 16234805, + 97314136 + ], + [ + 97834687, + 62797655 + ], + [ + 72047410, + 68779686 + ], + [ + 89866160, + 59487053 + ], + [ + 2350777, + 95132663 + ], + [ + 71229488, + 14072622 + ], + [ + 32032298, + 68525113 + ], + [ + 74683539, + 35855505 + ], + [ + 43104293, + 45667499 + ], + [ + 61888357, + 28987086 + ], + [ + 81255580, + 75278002 + ], + [ + 40354123, + 73741570 + ], + [ + 53784682, + 19067480 + ], + [ + 44853957, + 9053674 + ], + [ + 73293520, + 49530164 + ], + [ + 69617823, + 16181511 + ], + [ + 82885293, + 16183525 + ], + [ + 71411758, + 64942003 + ], + [ + 96837496, + 75902298 + ], + [ + 44850809, + 71664650 + ], + [ + 75616306, + 84824903 + ], + [ + 6281286, + 50670407 + ], + [ + 7841838, + 63271729 + ], + [ + 3546884, + 78456155 + ], + [ + 41853869, + 9859744 + ], + [ + 18100778, + 9147871 + ], + [ + 86869671, + 35983405 + ], + [ + 48307092, + 77537026 + ], + [ + 69229703, + 54702147 + ], + [ + 32166326, + 78590677 + ], + [ + 63353527, + 37647618 + ], + [ + 2785959, + 6054392 + ], + [ + 16841204, + 86143174 + ], + [ + 27884988, + 41930742 + ], + [ + 91592814, + 84105435 + ], + [ + 22780523, + 21034803 + ], + [ + 20648977, + 56806980 + ], + [ + 49988069, + 39212223 + ], + [ + 44615097, + 19864691 + ], + [ + 51156702, + 72799685 + ], + [ + 65244874, + 30250672 + ], + [ + 8201355, + 5714370 + ], + [ + 86631080, + 8298586 + ], + [ + 13379575, + 73681392 + ], + [ + 89549593, + 99614678 + ], + [ + 89304813, + 97728608 + ], + [ + 6360431, + 53385673 + ], + [ + 24839145, + 75127920 + ], + [ + 75125002, + 34774546 + ], + [ + 37690615, + 94033407 + ], + [ + 74376655, + 77505715 + ], + [ + 72188556, + 67953521 + ], + [ + 77717041, + 78911028 + ], + [ + 84991624, + 79442674 + ], + [ + 55053051, + 22474095 + ], + [ + 6790126, + 42269268 + ], + [ + 21170573, + 80127276 + ], + [ + 58197418, + 4049540 + ], + [ + 39718322, + 6812509 + ], + [ + 3535894, + 61484381 + ], + [ + 51495972, + 47813807 + ], + [ + 46505318, + 36666469 + ], + [ + 31888411, + 59082355 + ], + [ + 22683561, + 75270678 + ], + [ + 89946664, + 51135052 + ], + [ + 78973467, + 30755094 + ], + [ + 9367354, + 46626778 + ], + [ + 73027719, + 14047363 + ], + [ + 64269839, + 92042774 + ], + [ + 9166568, + 89671340 + ], + [ + 54169658, + 53489958 + ], + [ + 9693770, + 32492877 + ], + [ + 79992142, + 38171743 + ], + [ + 60586490, + 1633772 + ], + [ + 96485827, + 30235228 + ], + [ + 73576899, + 29630391 + ], + [ + 85976834, + 68087411 + ], + [ + 67746684, + 27093204 + ], + [ + 2382548, + 65157289 + ], + [ + 77681237, + 92921902 + ], + [ + 73652976, + 5888911 + ], + [ + 10416903, + 95942059 + ], + [ + 28034306, + 44896398 + ], + [ + 91637384, + 92277137 + ], + [ + 41543502, + 69585390 + ], + [ + 77528834, + 5175395 + ], + [ + 5754803, + 90010725 + ], + [ + 30658679, + 15285275 + ], + [ + 12074955, + 48883090 + ], + [ + 19308407, + 95501855 + ], + [ + 34498796, + 84994414 + ], + [ + 10175350, + 66264613 + ], + [ + 66528408, + 89762269 + ], + [ + 28507450, + 5085412 + ], + [ + 63966937, + 88827060 + ], + [ + 32559134, + 25208357 + ], + [ + 25147820, + 31349417 + ], + [ + 81314222, + 88269887 + ], + [ + 66432888, + 91927126 + ], + [ + 14724058, + 45319977 + ], + [ + 66862998, + 21298632 + ], + [ + 41522439, + 8639409 + ], + [ + 68189669, + 3934705 + ], + [ + 30149109, + 92520212 + ], + [ + 39597824, + 69289420 + ], + [ + 86860435, + 6785977 + ], + [ + 89381204, + 137627 + ], + [ + 57428414, + 76955644 + ], + [ + 85740566, + 93388889 + ], + [ + 48681590, + 72151291 + ], + [ + 3460708, + 66099976 + ], + [ + 38132589, + 93097019 + ], + [ + 54435859, + 56954939 + ], + [ + 43056029, + 21793435 + ], + [ + 27400103, + 71687029 + ], + [ + 28329304, + 33225897 + ], + [ + 91951384, + 67644557 + ], + [ + 47875124, + 36131893 + ], + [ + 7803370, + 11036106 + ], + [ + 4416635, + 43491079 + ], + [ + 5506317, + 80060078 + ], + [ + 57537415, + 91589106 + ], + [ + 59692688, + 60077658 + ], + [ + 62909768, + 82139412 + ], + [ + 80393488, + 12887216 + ], + [ + 51897416, + 41820 + ], + [ + 15718147, + 65718370 + ], + [ + 49477910, + 1962720 + ], + [ + 71197413, + 63031943 + ], + [ + 83769107, + 93475923 + ], + [ + 60790560, + 52069841 + ], + [ + 83605860, + 11551870 + ], + [ + 46540118, + 19478601 + ], + [ + 15295723, + 52668344 + ], + [ + 40702566, + 73618763 + ], + [ + 50265455, + 36370160 + ], + [ + 32427350, + 72738731 + ], + [ + 32911857, + 23838202 + ], + [ + 94292793, + 22298424 + ], + [ + 50791955, + 80104348 + ], + [ + 95871770, + 81839942 + ], + [ + 2123167, + 67276100 + ], + [ + 80980298, + 51017727 + ], + [ + 38656337, + 39684721 + ], + [ + 44595265, + 92000786 + ], + [ + 1786969, + 81415641 + ], + [ + 15540643, + 67053777 + ], + [ + 68668802, + 24527988 + ], + [ + 63860945, + 56031964 + ], + [ + 4535410, + 14303114 + ], + [ + 31347287, + 92961572 + ], + [ + 45740331, + 65583448 + ], + [ + 70370088, + 17401011 + ], + [ + 61388166, + 97056444 + ], + [ + 92331539, + 25590052 + ], + [ + 72730605, + 75714216 + ], + [ + 40489875, + 27223151 + ], + [ + 88765487, + 37834282 + ], + [ + 71547937, + 58855880 + ], + [ + 42770308, + 17560847 + ], + [ + 62523832, + 7011341 + ], + [ + 14106601, + 64300786 + ], + [ + 57162888, + 4322081 + ], + [ + 47958514, + 43785121 + ], + [ + 15640904, + 3099712 + ], + [ + 50482184, + 77236170 + ], + [ + 54422659, + 98260572 + ], + [ + 94792368, + 41896229 + ], + [ + 83860420, + 44745000 + ], + [ + 89452509, + 96856841 + ], + [ + 68612874, + 59409146 + ], + [ + 4149558, + 11310006 + ], + [ + 38270687, + 12990966 + ], + [ + 57982838, + 97848663 + ], + [ + 29457543, + 10134994 + ], + [ + 56328785, + 73040101 + ], + [ + 63345222, + 42167473 + ], + [ + 40140173, + 77156104 + ], + [ + 47595561, + 51063050 + ], + [ + 65875681, + 10089580 + ], + [ + 71321982, + 21228332 + ], + [ + 1727986, + 10046965 + ], + [ + 93782214, + 12982791 + ], + [ + 85285194, + 69499091 + ], + [ + 50811028, + 12245276 + ], + [ + 41566824, + 47215079 + ], + [ + 80308976, + 28831393 + ], + [ + 63559941, + 9313319 + ], + [ + 15711694, + 70062162 + ], + [ + 96723435, + 84063461 + ], + [ + 22468514, + 68198657 + ], + [ + 31928485, + 77030563 + ], + [ + 94451896, + 26471824 + ], + [ + 17042630, + 20185681 + ], + [ + 23344340, + 62711553 + ], + [ + 97802960, + 68418760 + ], + [ + 91057350, + 85480167 + ], + [ + 55959306, + 44904226 + ], + [ + 60856594, + 43165111 + ], + [ + 93278934, + 82716870 + ], + [ + 70554312, + 92065740 + ], + [ + 95578502, + 25195583 + ], + [ + 22003436, + 80205068 + ], + [ + 86940305, + 78047684 + ], + [ + 82306021, + 81428813 + ], + [ + 32312219, + 20456530 + ], + [ + 87182296, + 3488935 + ], + [ + 79997132, + 47746453 + ], + [ + 8626205, + 33882613 + ], + [ + 48150855, + 74164576 + ], + [ + 23801460, + 58072708 + ], + [ + 45242003, + 87863405 + ], + [ + 77821962, + 75395370 + ], + [ + 90785397, + 27425661 + ], + [ + 83702560, + 2900892 + ], + [ + 95750129, + 11310287 + ], + [ + 27149150, + 32523403 + ], + [ + 22184861, + 86225969 + ], + [ + 99684354, + 84759310 + ], + [ + 92797256, + 83666674 + ], + [ + 60705235, + 37227290 + ], + [ + 13664685, + 6101149 + ], + [ + 99045990, + 14367739 + ], + [ + 21676839, + 13027406 + ], + [ + 42992348, + 55338484 + ], + [ + 78177434, + 38457938 + ], + [ + 23259487, + 17199162 + ], + [ + 18970381, + 95797452 + ], + [ + 84263079, + 68573777 + ], + [ + 55258328, + 20860596 + ], + [ + 70313005, + 78049928 + ], + [ + 98427755, + 25787437 + ], + [ + 92303921, + 92092460 + ], + [ + 30157733, + 24693787 + ], + [ + 84699831, + 92073122 + ], + [ + 44103555, + 12367825 + ], + [ + 41061419, + 19710815 + ], + [ + 94837903, + 49483356 + ], + [ + 32028193, + 71543551 + ], + [ + 10602451, + 29994358 + ], + [ + 73311966, + 22348481 + ], + [ + 84149293, + 8943391 + ], + [ + 57341682, + 48654651 + ], + [ + 45390369, + 43100032 + ], + [ + 39298808, + 59754873 + ], + [ + 78425776, + 35970061 + ], + [ + 17866621, + 73112748 + ], + [ + 26347520, + 29497395 + ], + [ + 90043959, + 86235568 + ], + [ + 8378791, + 77728353 + ], + [ + 62306515, + 63471737 + ], + [ + 40983921, + 4090388 + ], + [ + 230286, + 12248427 + ], + [ + 5365321, + 82472144 + ], + [ + 14316249, + 4377106 + ], + [ + 45301080, + 50430446 + ], + [ + 26931912, + 38907111 + ], + [ + 78730803, + 69714674 + ], + [ + 10256894, + 62946933 + ], + [ + 36110279, + 65375292 + ], + [ + 98212216, + 65058412 + ], + [ + 70367012, + 41816682 + ], + [ + 51331443, + 31404198 + ], + [ + 76462277, + 67722584 + ], + [ + 70232876, + 50192713 + ], + [ + 88302772, + 44372965 + ], + [ + 91735834, + 71693747 + ], + [ + 76303965, + 46400281 + ], + [ + 22178469, + 24501168 + ], + [ + 29419762, + 7571765 + ], + [ + 84579752, + 17951908 + ], + [ + 25838780, + 50487687 + ], + [ + 82088045, + 84280265 + ], + [ + 73042292, + 92447032 + ], + [ + 44143865, + 20446395 + ], + [ + 41679138, + 25256475 + ], + [ + 72946763, + 86299545 + ], + [ + 86788107, + 31755474 + ], + [ + 41098757, + 87901405 + ], + [ + 73304748, + 82161137 + ], + [ + 36559433, + 17722379 + ], + [ + 82460691, + 30779229 + ], + [ + 77220976, + 5077808 + ], + [ + 21060908, + 85750082 + ], + [ + 61428525, + 36431696 + ], + [ + 3748595, + 36064452 + ], + [ + 17350568, + 11026785 + ], + [ + 24742050, + 45103544 + ], + [ + 21013217, + 51816268 + ], + [ + 52617368, + 97799590 + ], + [ + 20250493, + 68161011 + ], + [ + 53510582, + 34179127 + ], + [ + 50026184, + 70090908 + ], + [ + 56687981, + 70473563 + ], + [ + 62381312, + 12358437 + ], + [ + 25219641, + 84874130 + ], + [ + 75211380, + 87365669 + ], + [ + 59867515, + 85554528 + ], + [ + 43587342, + 65120858 + ], + [ + 84077475, + 65908998 + ], + [ + 11860835, + 91939433 + ], + [ + 81216613, + 47656117 + ], + [ + 39594153, + 99445666 + ], + [ + 4900817, + 21065370 + ], + [ + 8024176, + 83919477 + ], + [ + 38104265, + 69503329 + ], + [ + 93386008, + 86326377 + ], + [ + 37508698, + 54885199 + ], + [ + 20678178, + 35874838 + ], + [ + 5398012, + 27918325 + ], + [ + 40893728, + 71450823 + ], + [ + 41916774, + 75078204 + ], + [ + 98895014, + 99421303 + ], + [ + 48867719, + 36804158 + ], + [ + 31426293, + 8300287 + ], + [ + 1544096, + 39344982 + ], + [ + 56462107, + 57627561 + ], + [ + 55672859, + 63188127 + ], + [ + 4132563, + 205097 + ], + [ + 17003266, + 60913753 + ], + [ + 21765929, + 2068596 + ], + [ + 26715331, + 44980102 + ], + [ + 38680024, + 86307743 + ], + [ + 81458985, + 79419408 + ], + [ + 679249, + 72443304 + ], + [ + 82885045, + 47524731 + ], + [ + 27657305, + 75118406 + ], + [ + 22881129, + 16355270 + ], + [ + 45492271, + 68407770 + ], + [ + 69102664, + 5315365 + ], + [ + 94680652, + 44295935 + ], + [ + 99944539, + 86872440 + ], + [ + 24877905, + 94688869 + ], + [ + 28613276, + 69683736 + ], + [ + 34447114, + 51377523 + ], + [ + 23555243, + 60684375 + ], + [ + 86232023, + 12634445 + ], + [ + 65761133, + 23661780 + ], + [ + 84331243, + 33681932 + ], + [ + 99515682, + 97814494 + ], + [ + 21344085, + 88981345 + ], + [ + 25763490, + 78040903 + ], + [ + 85262720, + 81227848 + ], + [ + 10511024, + 52704580 + ], + [ + 55182322, + 22945167 + ], + [ + 25910160, + 13120149 + ], + [ + 38821849, + 30696196 + ], + [ + 75726405, + 94304971 + ], + [ + 30147859, + 70669018 + ], + [ + 10901402, + 70451478 + ], + [ + 39328377, + 5902231 + ], + [ + 7688418, + 4632356 + ], + [ + 71257693, + 34628596 + ], + [ + 66998902, + 9025949 + ], + [ + 91045733, + 37489085 + ], + [ + 33297934, + 78712395 + ], + [ + 87079082, + 40477288 + ], + [ + 39313833, + 37174533 + ], + [ + 14288271, + 84967888 + ], + [ + 52441810, + 99873058 + ], + [ + 16874351, + 55691700 + ], + [ + 6199548, + 15974271 + ], + [ + 42876511, + 30701097 + ], + [ + 40061683, + 8522120 + ], + [ + 69971963, + 72561765 + ], + [ + 92590154, + 85266183 + ], + [ + 88861451, + 84833980 + ], + [ + 157791, + 31846690 + ], + [ + 88334619, + 30339613 + ], + [ + 87429558, + 58955978 + ], + [ + 33871650, + 91959403 + ], + [ + 41931570, + 36370903 + ], + [ + 12061435, + 25807357 + ], + [ + 89382461, + 75805054 + ], + [ + 16246615, + 32493129 + ], + [ + 58076285, + 81433799 + ], + [ + 34676234, + 40994649 + ], + [ + 26804112, + 37510148 + ], + [ + 55930691, + 89945938 + ], + [ + 46051094, + 51611487 + ], + [ + 51640518, + 59631402 + ], + [ + 69468327, + 90173410 + ], + [ + 75738434, + 50096073 + ], + [ + 33356858, + 12862912 + ], + [ + 70930730, + 53753514 + ], + [ + 58937060, + 60985539 + ], + [ + 52740359, + 75789332 + ], + [ + 72015168, + 46764838 + ], + [ + 66198860, + 66448917 + ], + [ + 80666528, + 63102388 + ], + [ + 98008518, + 81761615 + ], + [ + 35232514, + 48944330 + ], + [ + 45383690, + 90977527 + ], + [ + 41042151, + 88869083 + ], + [ + 71846799, + 89340920 + ], + [ + 61139720, + 75028767 + ], + [ + 51324916, + 25753501 + ], + [ + 36572609, + 37562941 + ], + [ + 40285513, + 90721446 + ], + [ + 3812120, + 44661751 + ], + [ + 10305580, + 45216495 + ], + [ + 25527149, + 93690158 + ], + [ + 74730871, + 14607752 + ], + [ + 43134426, + 29484554 + ], + [ + 5061672, + 72367308 + ], + [ + 93647151, + 39581628 + ], + [ + 34536409, + 99690342 + ], + [ + 70502423, + 82007265 + ], + [ + 73973541, + 630260 + ], + [ + 87987604, + 75207464 + ], + [ + 5072003, + 73640188 + ], + [ + 81515409, + 74406868 + ], + [ + 65798877, + 24670068 + ], + [ + 6201883, + 50688478 + ], + [ + 35124627, + 89933500 + ], + [ + 66405980, + 31469937 + ], + [ + 6250367, + 41343628 + ], + [ + 68902394, + 17763753 + ], + [ + 86350493, + 18108153 + ], + [ + 58465463, + 8478918 + ], + [ + 2900218, + 38599896 + ], + [ + 83494520, + 13355757 + ], + [ + 33573710, + 57512889 + ], + [ + 34515922, + 1805840 + ], + [ + 97993335, + 6546504 + ], + [ + 89300427, + 89674260 + ], + [ + 69602516, + 33391061 + ], + [ + 92539073, + 36512183 + ], + [ + 83000382, + 54780345 + ], + [ + 39401591, + 74305118 + ], + [ + 89271948, + 27451418 + ], + [ + 34664276, + 23343004 + ], + [ + 27062916, + 34372121 + ], + [ + 23294416, + 66208628 + ], + [ + 76745455, + 61812930 + ], + [ + 42104132, + 26730851 + ], + [ + 92802472, + 24938308 + ], + [ + 2456855, + 64802165 + ], + [ + 36376647, + 98752660 + ], + [ + 40541916, + 34743616 + ], + [ + 50440462, + 26049491 + ], + [ + 62772186, + 59597536 + ], + [ + 98092269, + 54487633 + ], + [ + 92378749, + 12733256 + ], + [ + 24871803, + 30330009 + ], + [ + 92052390, + 79992232 + ], + [ + 81010124, + 77183022 + ], + [ + 38053726, + 43746994 + ], + [ + 39093072, + 64417879 + ], + [ + 94537534, + 89058942 + ], + [ + 10618404, + 53632820 + ], + [ + 48999115, + 90491765 + ], + [ + 8820373, + 72310241 + ], + [ + 90341365, + 1303624 + ], + [ + 76104435, + 36554134 + ], + [ + 88538519, + 89245584 + ], + [ + 88216112, + 64920441 + ], + [ + 66012606, + 41597514 + ], + [ + 95052418, + 15704004 + ], + [ + 24888176, + 27091941 + ], + [ + 44425882, + 90247110 + ], + [ + 38475314, + 6243553 + ], + [ + 81633775, + 47250812 + ], + [ + 20786578, + 34887834 + ], + [ + 47019124, + 11984506 + ], + [ + 79307173, + 46666096 + ], + [ + 60324572, + 20199998 + ], + [ + 47745827, + 63305290 + ], + [ + 65360303, + 53995104 + ], + [ + 18252258, + 26940793 + ], + [ + 22590417, + 88018622 + ], + [ + 35877284, + 57983129 + ], + [ + 63538156, + 30012144 + ], + [ + 24664766, + 79848484 + ], + [ + 1558058, + 80414468 + ], + [ + 6865802, + 74404771 + ], + [ + 25001803, + 31610770 + ], + [ + 65792182, + 43834278 + ], + [ + 43748256, + 89498201 + ], + [ + 21873699, + 42056801 + ], + [ + 97639, + 62384793 + ], + [ + 97787216, + 85429336 + ], + [ + 35910504, + 9018321 + ], + [ + 11812799, + 19672667 + ], + [ + 29886172, + 66175347 + ], + [ + 30016970, + 40738895 + ], + [ + 74481918, + 84963792 + ], + [ + 53066850, + 36149084 + ], + [ + 89399410, + 10027875 + ], + [ + 71918681, + 80369902 + ], + [ + 69022492, + 42955210 + ], + [ + 90314885, + 53345294 + ], + [ + 54276521, + 29904702 + ], + [ + 32287718, + 72668161 + ], + [ + 67092899, + 65935606 + ], + [ + 1057295, + 37565888 + ], + [ + 71657776, + 80857436 + ], + [ + 66434938, + 64584657 + ], + [ + 14829081, + 26552118 + ], + [ + 59488301, + 2802435 + ], + [ + 21974825, + 33063335 + ], + [ + 96053614, + 96514335 + ], + [ + 44338325, + 7326044 + ], + [ + 99857679, + 52331646 + ], + [ + 35965195, + 21175573 + ], + [ + 8874988, + 46480 + ], + [ + 3735307, + 26154200 + ], + [ + 44383822, + 30209298 + ], + [ + 23230383, + 36518153 + ], + [ + 34775539, + 19875663 + ], + [ + 1044860, + 23667863 + ], + [ + 59860313, + 51096464 + ], + [ + 98956832, + 7866348 + ], + [ + 76260962, + 29882689 + ], + [ + 70471334, + 95137351 + ], + [ + 95864520, + 60333007 + ], + [ + 16519422, + 34275754 + ], + [ + 17768663, + 81370101 + ], + [ + 12831905, + 44681471 + ], + [ + 49538873, + 72263487 + ], + [ + 75467638, + 96244758 + ], + [ + 20276425, + 13181909 + ], + [ + 61346450, + 61891374 + ], + [ + 98320933, + 33352107 + ], + [ + 73155196, + 12563525 + ], + [ + 69082197, + 31266822 + ], + [ + 92372565, + 2359379 + ], + [ + 41473615, + 14192573 + ], + [ + 20117920, + 93589355 + ], + [ + 81377469, + 30693559 + ], + [ + 5184122, + 33205260 + ], + [ + 35029836, + 72933444 + ], + [ + 19461127, + 56249277 + ], + [ + 9760398, + 83825375 + ], + [ + 5543883, + 64943960 + ], + [ + 621756, + 97150183 + ], + [ + 81120221, + 59144694 + ], + [ + 52505328, + 74911769 + ], + [ + 90553949, + 82214214 + ], + [ + 95788940, + 52197654 + ], + [ + 51759678, + 38378871 + ], + [ + 15552786, + 60201484 + ], + [ + 27066361, + 24291075 + ], + [ + 20445852, + 67463729 + ], + [ + 99774289, + 94465287 + ], + [ + 93958230, + 54256593 + ], + [ + 63694544, + 16462099 + ], + [ + 70520144, + 94845203 + ], + [ + 91907796, + 95613637 + ], + [ + 48310733, + 924189 + ], + [ + 77797813, + 66295751 + ], + [ + 10349200, + 20606985 + ], + [ + 40249632, + 20948641 + ], + [ + 97217297, + 90093675 + ], + [ + 72892554, + 69040067 + ], + [ + 41419647, + 90517633 + ], + [ + 97256268, + 7335839 + ], + [ + 81174388, + 89132294 + ], + [ + 36972146, + 25722035 + ], + [ + 17180345, + 68611272 + ], + [ + 33986507, + 42250205 + ], + [ + 65056722, + 31005665 + ], + [ + 83423771, + 20567479 + ], + [ + 72488700, + 81573796 + ], + [ + 835572, + 69376416 + ], + [ + 90084400, + 68077815 + ], + [ + 52032167, + 6244601 + ], + [ + 62381207, + 18297274 + ], + [ + 90587103, + 70702923 + ], + [ + 66941941, + 34982543 + ], + [ + 79329514, + 63075425 + ], + [ + 10424628, + 27019843 + ], + [ + 16400511, + 21664536 + ], + [ + 49445347, + 86565394 + ], + [ + 96754348, + 95411828 + ], + [ + 56227259, + 16770184 + ], + [ + 3546035, + 58547050 + ], + [ + 85172908, + 9355197 + ], + [ + 43489252, + 33417970 + ], + [ + 14161609, + 90623264 + ], + [ + 80116257, + 71658060 + ], + [ + 19679655, + 30909592 + ], + [ + 89369855, + 25598063 + ], + [ + 90193226, + 23236874 + ], + [ + 38424751, + 19172752 + ], + [ + 44426037, + 90085369 + ], + [ + 99118009, + 25443995 + ], + [ + 15794382, + 8971518 + ], + [ + 8231202, + 98545899 + ], + [ + 38280502, + 78661238 + ], + [ + 61562064, + 48144485 + ], + [ + 36666205, + 91665200 + ], + [ + 51417374, + 76070048 + ], + [ + 67296734, + 1656664 + ], + [ + 19940004, + 55222963 + ], + [ + 58042688, + 83342652 + ], + [ + 13581779, + 76049650 + ], + [ + 43384707, + 41736887 + ], + [ + 41317792, + 94799191 + ], + [ + 79445323, + 41004375 + ], + [ + 6249599, + 82226385 + ], + [ + 67029603, + 85365844 + ], + [ + 98048684, + 75545157 + ], + [ + 31756449, + 37151913 + ], + [ + 52629358, + 30246368 + ], + [ + 36165966, + 23694980 + ], + [ + 85904440, + 15303613 + ], + [ + 58552345, + 78961987 + ], + [ + 96501866, + 43273006 + ], + [ + 91255533, + 62049759 + ], + [ + 63115683, + 96149286 + ], + [ + 69718800, + 33606714 + ], + [ + 14445046, + 34069577 + ], + [ + 30831749, + 66022720 + ], + [ + 92269410, + 72485839 + ], + [ + 5254530, + 74231163 + ], + [ + 75050298, + 68672365 + ], + [ + 29002677, + 83607152 + ], + [ + 37994407, + 72911750 + ], + [ + 56527429, + 18832421 + ], + [ + 62037635, + 22503523 + ], + [ + 65613103, + 75189038 + ], + [ + 95318221, + 94204001 + ], + [ + 45884322, + 40249472 + ], + [ + 71889003, + 93326225 + ], + [ + 33802091, + 14043959 + ], + [ + 25587568, + 47772017 + ], + [ + 45127736, + 7150189 + ], + [ + 41849469, + 41900658 + ], + [ + 69227174, + 6521922 + ], + [ + 53486584, + 29851982 + ], + [ + 96623511, + 89904276 + ], + [ + 37820610, + 43085461 + ], + [ + 10466045, + 62957114 + ], + [ + 9783368, + 61562905 + ], + [ + 76368772, + 19674655 + ], + [ + 59097686, + 23568105 + ], + [ + 59853519, + 53457813 + ], + [ + 5812074, + 66798690 + ], + [ + 57482198, + 48006711 + ], + [ + 94389337, + 71475455 + ], + [ + 54162345, + 24254729 + ], + [ + 94493542, + 38231186 + ], + [ + 86092678, + 52222164 + ], + [ + 67756788, + 38191022 + ], + [ + 11341454, + 81308277 + ], + [ + 32066107, + 44699479 + ], + [ + 53346591, + 63973518 + ], + [ + 79234210, + 29809037 + ], + [ + 12147559, + 58053636 + ], + [ + 97941661, + 44823774 + ], + [ + 87969752, + 48090842 + ], + [ + 48188594, + 88983541 + ], + [ + 57052402, + 64696910 + ], + [ + 70313261, + 48727434 + ], + [ + 80194247, + 24530787 + ], + [ + 92826953, + 43067563 + ], + [ + 42045863, + 45198396 + ], + [ + 13933244, + 12854805 + ], + [ + 96312252, + 14286521 + ], + [ + 61698071, + 80585659 + ], + [ + 92839592, + 66122351 + ], + [ + 62152818, + 43409854 + ], + [ + 83474161, + 80099683 + ], + [ + 48520844, + 14239255 + ], + [ + 54672835, + 79005286 + ], + [ + 64349489, + 12365283 + ], + [ + 91715515, + 59867744 + ], + [ + 14903789, + 3862154 + ], + [ + 43534161, + 70598137 + ], + [ + 54194767, + 21260542 + ], + [ + 42349823, + 21939385 + ], + [ + 70185512, + 64677409 + ], + [ + 20417293, + 68311348 + ], + [ + 39186334, + 18485797 + ], + [ + 28972598, + 35370815 + ], + [ + 11934678, + 19783957 + ], + [ + 49451722, + 60096467 + ], + [ + 28913454, + 81954221 + ], + [ + 86171788, + 9191578 + ], + [ + 38150543, + 28841847 + ], + [ + 94649435, + 5537865 + ], + [ + 10558472, + 42950895 + ], + [ + 49217294, + 1019319 + ], + [ + 85945325, + 38833054 + ], + [ + 95279419, + 17766759 + ], + [ + 15841026, + 44528542 + ], + [ + 31893150, + 38347599 + ], + [ + 59057177, + 25972636 + ], + [ + 79660736, + 19846167 + ], + [ + 4876964, + 80169534 + ], + [ + 4388480, + 61433583 + ], + [ + 24881568, + 46020723 + ], + [ + 36557446, + 76624718 + ], + [ + 14127446, + 22492538 + ], + [ + 22157909, + 2301329 + ], + [ + 81703882, + 17977028 + ], + [ + 23231848, + 25491741 + ], + [ + 85814360, + 84065895 + ], + [ + 19953928, + 19672520 + ], + [ + 59848703, + 10446599 + ], + [ + 5883603, + 14193382 + ], + [ + 15722304, + 44972269 + ], + [ + 60626989, + 38554856 + ], + [ + 70187391, + 25835071 + ], + [ + 27354119, + 82108295 + ], + [ + 12381135, + 96204251 + ], + [ + 36071886, + 75288479 + ], + [ + 48340934, + 17177746 + ], + [ + 66023657, + 78025721 + ], + [ + 42690947, + 48979843 + ], + [ + 61678076, + 47267288 + ], + [ + 86091004, + 32276389 + ], + [ + 81079340, + 57098426 + ], + [ + 11816340, + 54488355 + ], + [ + 40991722, + 81793513 + ], + [ + 69509978, + 81893405 + ], + [ + 67014881, + 64911097 + ], + [ + 47122717, + 37037625 + ], + [ + 90199781, + 18519252 + ], + [ + 28675488, + 31299691 + ], + [ + 31277818, + 79880679 + ], + [ + 44546950, + 6096752 + ], + [ + 74780589, + 99704270 + ], + [ + 54285122, + 31052755 + ], + [ + 27542906, + 24809331 + ], + [ + 7009344, + 12178879 + ], + [ + 14603441, + 68346691 + ], + [ + 73380964, + 35558448 + ], + [ + 73138148, + 34732244 + ], + [ + 95578746, + 95173455 + ], + [ + 58806597, + 75684947 + ], + [ + 83060086, + 30076232 + ], + [ + 98725566, + 31650057 + ], + [ + 42375155, + 48128348 + ], + [ + 61194324, + 97833327 + ], + [ + 4527683, + 30013112 + ], + [ + 32746416, + 29573771 + ], + [ + 56423402, + 80220227 + ], + [ + 97817669, + 65434294 + ], + [ + 15044136, + 92629014 + ], + [ + 62188261, + 90374328 + ], + [ + 92519582, + 61168626 + ], + [ + 53609765, + 38832928 + ], + [ + 48885886, + 72041298 + ], + [ + 99596223, + 45467632 + ], + [ + 38121724, + 42733805 + ], + [ + 99258096, + 39527656 + ], + [ + 48597625, + 39550188 + ], + [ + 2968333, + 72559150 + ], + [ + 69599293, + 8051814 + ], + [ + 2415801, + 87287737 + ], + [ + 28640419, + 19737984 + ], + [ + 10748198, + 90268653 + ], + [ + 91312792, + 80740278 + ], + [ + 54574278, + 99274513 + ], + [ + 44017766, + 78743513 + ], + [ + 42479921, + 71950289 + ], + [ + 90433704, + 52690457 + ], + [ + 58860894, + 92323010 + ], + [ + 93443754, + 19023966 + ], + [ + 59773278, + 75140908 + ], + [ + 90345186, + 75188904 + ], + [ + 30789447, + 38747751 + ], + [ + 1931834, + 60665630 + ], + [ + 91339123, + 47859813 + ], + [ + 11291921, + 22272739 + ], + [ + 10784747, + 2242577 + ], + [ + 44472022, + 82484467 + ], + [ + 84860625, + 6160640 + ], + [ + 75532181, + 36587545 + ], + [ + 6862649, + 95644387 + ], + [ + 56111424, + 69511063 + ], + [ + 64441457, + 64177621 + ], + [ + 23687480, + 78796349 + ], + [ + 7464304, + 51318033 + ], + [ + 67250482, + 23038150 + ], + [ + 69832555, + 27420097 + ], + [ + 10444233, + 58682349 + ], + [ + 75798341, + 67662207 + ], + [ + 70144909, + 39647926 + ], + [ + 22522965, + 47506858 + ], + [ + 59043985, + 17738347 + ], + [ + 34622754, + 31420431 + ], + [ + 26349016, + 5739850 + ], + [ + 9336599, + 67558554 + ], + [ + 96796954, + 10842800 + ], + [ + 4410519, + 29068228 + ], + [ + 44962865, + 250636 + ], + [ + 39857325, + 68921118 + ], + [ + 55209050, + 38180735 + ], + [ + 86062677, + 57047815 + ], + [ + 61256711, + 26509386 + ], + [ + 53291248, + 30847640 + ], + [ + 86848700, + 43213949 + ], + [ + 71246269, + 54128684 + ], + [ + 16816523, + 36763109 + ], + [ + 24453880, + 65236517 + ], + [ + 58754465, + 52925195 + ], + [ + 43263561, + 35551453 + ], + [ + 79639708, + 52746469 + ], + [ + 59945406, + 70841312 + ], + [ + 73381652, + 19091431 + ], + [ + 52600816, + 48113078 + ], + [ + 40156698, + 47390458 + ], + [ + 75373288, + 47123564 + ], + [ + 65942315, + 48552938 + ], + [ + 31455382, + 52869660 + ], + [ + 61425259, + 23354959 + ], + [ + 44069736, + 49188941 + ], + [ + 93064212, + 52275560 + ], + [ + 14352753, + 80804083 + ], + [ + 24468625, + 72469331 + ], + [ + 22225521, + 78959958 + ], + [ + 30946789, + 92407246 + ], + [ + 46183986, + 51020384 + ], + [ + 26291902, + 52391368 + ], + [ + 83225206, + 55006655 + ], + [ + 77798547, + 83735814 + ], + [ + 48887697, + 59239520 + ], + [ + 88810085, + 2734780 + ], + [ + 68361478, + 94708672 + ], + [ + 62692212, + 43959676 + ], + [ + 32667141, + 16412062 + ], + [ + 12327793, + 47747549 + ], + [ + 49365128, + 2775624 + ], + [ + 54185181, + 81375694 + ], + [ + 88083503, + 53958362 + ], + [ + 72314660, + 5460947 + ], + [ + 59460577, + 12710019 + ], + [ + 13893490, + 96403308 + ], + [ + 39724210, + 71711506 + ], + [ + 85138122, + 57735017 + ], + [ + 25372817, + 65752026 + ], + [ + 64846757, + 12952565 + ], + [ + 72745924, + 50487715 + ], + [ + 18666899, + 75488215 + ], + [ + 84233593, + 89710513 + ], + [ + 13461796, + 92903145 + ], + [ + 57686301, + 84491827 + ], + [ + 25093342, + 39552457 + ], + [ + 79989352, + 59814650 + ], + [ + 94498061, + 49747686 + ], + [ + 73246666, + 47173655 + ], + [ + 49296488, + 60954299 + ], + [ + 81087997, + 92128737 + ], + [ + 18182824, + 51316650 + ], + [ + 27084047, + 47755482 + ], + [ + 99499433, + 68912014 + ], + [ + 61445422, + 1821757 + ], + [ + 88254529, + 93681353 + ], + [ + 97439034, + 9080138 + ], + [ + 63423749, + 61966361 + ], + [ + 44789960, + 77944404 + ], + [ + 47490211, + 54659540 + ], + [ + 91010573, + 89054307 + ], + [ + 17927375, + 60350025 + ], + [ + 17782077, + 40545157 + ], + [ + 63117295, + 37128367 + ], + [ + 4297274, + 47702358 + ], + [ + 44225457, + 9237052 + ], + [ + 56107237, + 2243001 + ], + [ + 96186764, + 55297486 + ], + [ + 88214220, + 29556513 + ], + [ + 98744642, + 85634758 + ], + [ + 28006258, + 94765966 + ], + [ + 10698176, + 18546090 + ], + [ + 21783799, + 11922697 + ], + [ + 30297567, + 28789990 + ], + [ + 34103421, + 41730155 + ], + [ + 81457026, + 71000193 + ], + [ + 56613425, + 80187607 + ], + [ + 45669970, + 12492207 + ], + [ + 81251225, + 55545836 + ], + [ + 56510538, + 91595850 + ], + [ + 67740822, + 30673368 + ], + [ + 32729702, + 66658432 + ], + [ + 30141037, + 74950928 + ], + [ + 31614778, + 52287483 + ], + [ + 9494268, + 62200901 + ], + [ + 40825572, + 96401400 + ], + [ + 15206540, + 30762297 + ], + [ + 2280421, + 70604737 + ], + [ + 14234538, + 95161133 + ], + [ + 21767407, + 67144050 + ], + [ + 27975347, + 69248291 + ], + [ + 64042059, + 25938736 + ], + [ + 2208148, + 59077994 + ], + [ + 6901783, + 23279144 + ], + [ + 9123814, + 87932252 + ], + [ + 13126014, + 7594081 + ], + [ + 96893302, + 15014582 + ], + [ + 67213196, + 94803322 + ], + [ + 68149518, + 25864815 + ], + [ + 1077574, + 43572263 + ], + [ + 14736461, + 5864852 + ], + [ + 20712304, + 36050050 + ], + [ + 8327197, + 63244051 + ], + [ + 98082517, + 20658078 + ], + [ + 57078444, + 81502536 + ], + [ + 6209035, + 99659382 + ], + [ + 10797124, + 7387116 + ], + [ + 42470576, + 96703387 + ], + [ + 36814408, + 29499761 + ], + [ + 50248918, + 22345298 + ], + [ + 53012501, + 53037418 + ], + [ + 77392465, + 35743005 + ], + [ + 3957165, + 24834736 + ], + [ + 25050196, + 87718123 + ], + [ + 24428070, + 86050894 + ], + [ + 20779791, + 1744474 + ], + [ + 63087090, + 97950254 + ], + [ + 63454789, + 76593663 + ], + [ + 9523384, + 6300348 + ], + [ + 80167185, + 22883929 + ], + [ + 67504105, + 93341535 + ], + [ + 14625193, + 50776093 + ], + [ + 94116364, + 51465288 + ], + [ + 22349626, + 93363706 + ], + [ + 97094979, + 89742218 + ], + [ + 97075940, + 47212143 + ], + [ + 69866258, + 92801215 + ], + [ + 138860, + 10937301 + ], + [ + 98178568, + 36903957 + ], + [ + 39568571, + 19634179 + ], + [ + 95236586, + 40694782 + ], + [ + 72487989, + 48856349 + ], + [ + 22328476, + 86944643 + ], + [ + 83477386, + 63359387 + ], + [ + 87093055, + 24472086 + ], + [ + 28239999, + 38196740 + ], + [ + 11869809, + 83400718 + ], + [ + 94790058, + 56381584 + ], + [ + 77965656, + 56704067 + ], + [ + 15153167, + 25001135 + ], + [ + 82417435, + 40737961 + ], + [ + 5523320, + 12399188 + ], + [ + 81675373, + 72415999 + ], + [ + 88247970, + 47101505 + ], + [ + 36957573, + 49801166 + ], + [ + 76020219, + 36293318 + ], + [ + 99443879, + 62931282 + ], + [ + 47517612, + 15652930 + ], + [ + 53252650, + 47074002 + ], + [ + 29216858, + 35046924 + ], + [ + 71350503, + 9657734 + ], + [ + 66001003, + 56963796 + ], + [ + 79581010, + 96933174 + ], + [ + 17096520, + 4048217 + ], + [ + 86694355, + 68393077 + ], + [ + 24922587, + 81346816 + ], + [ + 2582129, + 8032293 + ], + [ + 64425202, + 37003165 + ], + [ + 3982888, + 36780735 + ], + [ + 56185809, + 1916637 + ], + [ + 67166314, + 46740316 + ], + [ + 26527958, + 84655363 + ], + [ + 72615493, + 36325556 + ], + [ + 23568723, + 84719094 + ], + [ + 64738006, + 5986674 + ], + [ + 63938264, + 9906018 + ], + [ + 19894237, + 71289261 + ], + [ + 94593606, + 37222551 + ], + [ + 6275179, + 83018303 + ], + [ + 87453518, + 36879226 + ], + [ + 56495888, + 52048165 + ], + [ + 33592655, + 28669268 + ], + [ + 9434490, + 85913738 + ], + [ + 39548099, + 79766287 + ], + [ + 85307641, + 5539069 + ], + [ + 68058141, + 89102235 + ], + [ + 59568891, + 55025278 + ], + [ + 83126266, + 31525189 + ], + [ + 26075755, + 11885676 + ], + [ + 42074381, + 83960661 + ], + [ + 35326265, + 28617860 + ], + [ + 61205578, + 7310333 + ], + [ + 87787956, + 42749999 + ], + [ + 32563072, + 4426601 + ], + [ + 26984587, + 47249139 + ], + [ + 73207855, + 80091012 + ], + [ + 96525905, + 64927291 + ], + [ + 80713858, + 53690445 + ], + [ + 91445557, + 34605468 + ], + [ + 96843573, + 37829834 + ], + [ + 47675840, + 46700272 + ], + [ + 34660029, + 78511063 + ], + [ + 49875352, + 80247220 + ], + [ + 67987069, + 78119859 + ], + [ + 74786659, + 82857505 + ], + [ + 224755, + 49849352 + ], + [ + 89632316, + 93728837 + ], + [ + 18992617, + 62698651 + ], + [ + 90115423, + 82731948 + ], + [ + 47536709, + 9375624 + ], + [ + 81371836, + 11553194 + ], + [ + 76350605, + 23421876 + ], + [ + 49738879, + 90109526 + ], + [ + 48177453, + 53629380 + ], + [ + 32412546, + 22008393 + ], + [ + 2419518, + 72712292 + ], + [ + 17359622, + 60363432 + ], + [ + 58046598, + 72301663 + ], + [ + 68007827, + 27922734 + ], + [ + 45371031, + 41015902 + ], + [ + 85269935, + 38755902 + ], + [ + 24999967, + 16183330 + ], + [ + 54408097, + 5038096 + ], + [ + 6057171, + 16632711 + ], + [ + 46278582, + 8463147 + ], + [ + 57994011, + 83198654 + ], + [ + 55673541, + 49127947 + ], + [ + 31177399, + 12438257 + ], + [ + 36770316, + 46902309 + ], + [ + 29401658, + 40967716 + ], + [ + 94890470, + 72733023 + ], + [ + 15279150, + 32589552 + ], + [ + 21171836, + 43110872 + ], + [ + 46131589, + 94428538 + ], + [ + 12135066, + 45449518 + ], + [ + 10266553, + 867937 + ], + [ + 72902943, + 27546511 + ], + [ + 80286877, + 42611199 + ], + [ + 90329678, + 97567929 + ], + [ + 98599576, + 33097127 + ], + [ + 66882208, + 35636989 + ], + [ + 59901826, + 35466316 + ], + [ + 93370267, + 45143918 + ], + [ + 22419603, + 41703360 + ], + [ + 76800653, + 80827133 + ], + [ + 5903020, + 44635287 + ], + [ + 33368557, + 18159756 + ], + [ + 7113649, + 36629422 + ], + [ + 51809623, + 49056519 + ], + [ + 35834287, + 77485038 + ], + [ + 83254967, + 61920458 + ], + [ + 28497858, + 13271901 + ], + [ + 16617052, + 4314303 + ], + [ + 47879724, + 34175893 + ], + [ + 94716110, + 70499425 + ], + [ + 84542486, + 66008993 + ], + [ + 1345740, + 39748310 + ], + [ + 87165835, + 54986725 + ], + [ + 53601146, + 71815331 + ], + [ + 30318021, + 13401276 + ], + [ + 87075612, + 80236894 + ], + [ + 30430842, + 37147999 + ], + [ + 89059968, + 86059789 + ], + [ + 78352320, + 45843573 + ], + [ + 87672874, + 9651610 + ], + [ + 57065844, + 50971448 + ], + [ + 27850019, + 38635211 + ], + [ + 13493319, + 88028347 + ], + [ + 94628592, + 57694271 + ], + [ + 36228852, + 66576377 + ], + [ + 14970518, + 47277820 + ], + [ + 31797077, + 42238859 + ], + [ + 82565932, + 64529541 + ], + [ + 53871985, + 18091641 + ], + [ + 69936321, + 36209745 + ], + [ + 93805365, + 2217321 + ], + [ + 16914515, + 18154959 + ], + [ + 87291275, + 13507630 + ], + [ + 73068131, + 35862598 + ], + [ + 72278737, + 54359515 + ], + [ + 85437306, + 17542725 + ], + [ + 55715717, + 14986009 + ], + [ + 26425853, + 71462188 + ], + [ + 46886783, + 5263896 + ], + [ + 50618446, + 91413930 + ], + [ + 3679405, + 44000349 + ], + [ + 57245618, + 78455036 + ], + [ + 20882031, + 31637028 + ], + [ + 40007341, + 41514245 + ], + [ + 18876865, + 63668373 + ], + [ + 37594335, + 47088850 + ], + [ + 4019742, + 45680184 + ], + [ + 17395566, + 40772456 + ], + [ + 81779642, + 5735784 + ], + [ + 24948727, + 21281636 + ], + [ + 43424077, + 60453390 + ], + [ + 95758586, + 15828642 + ], + [ + 89142005, + 39593204 + ], + [ + 30537723, + 88310932 + ], + [ + 78365122, + 95311757 + ], + [ + 7756168, + 12533427 + ], + [ + 94534220, + 31479820 + ], + [ + 49883419, + 80707479 + ], + [ + 4055443, + 93865622 + ], + [ + 84450416, + 11085096 + ], + [ + 58073717, + 59458140 + ], + [ + 35371266, + 45257545 + ], + [ + 14058441, + 32405876 + ], + [ + 56508420, + 38380802 + ], + [ + 68841491, + 24002087 + ], + [ + 71986200, + 38195659 + ], + [ + 2157448, + 9293921 + ], + [ + 50364064, + 31815342 + ], + [ + 70242211, + 53910146 + ], + [ + 57726258, + 29502080 + ], + [ + 26627899, + 10438788 + ], + [ + 69072201, + 85442183 + ], + [ + 79423345, + 58148165 + ], + [ + 11275582, + 31635111 + ], + [ + 68763896, + 53551646 + ], + [ + 96063107, + 55692240 + ], + [ + 63497724, + 30822926 + ], + [ + 91096008, + 82111043 + ], + [ + 34301029, + 57891050 + ], + [ + 32308544, + 25255557 + ], + [ + 78985566, + 13688187 + ], + [ + 79972244, + 96527500 + ], + [ + 74120810, + 17604267 + ], + [ + 3135406, + 80792061 + ], + [ + 5802073, + 41658676 + ], + [ + 44519930, + 67683411 + ], + [ + 93108511, + 55916487 + ], + [ + 22255485, + 24403443 + ], + [ + 64064576, + 87458815 + ], + [ + 33649537, + 10335715 + ], + [ + 41117941, + 45990143 + ], + [ + 61743378, + 99932524 + ], + [ + 31285036, + 16559 + ], + [ + 9034964, + 20510262 + ], + [ + 39138848, + 72791376 + ], + [ + 61786731, + 22843827 + ], + [ + 8978856, + 83676929 + ], + [ + 79768766, + 82247266 + ], + [ + 9884209, + 11475503 + ], + [ + 22708356, + 71083908 + ], + [ + 4490462, + 12781785 + ], + [ + 28075572, + 20388200 + ], + [ + 74007884, + 51685096 + ], + [ + 74850271, + 70812157 + ], + [ + 40091868, + 53647926 + ], + [ + 87544719, + 87360072 + ], + [ + 76132297, + 12918915 + ], + [ + 2157378, + 80683749 + ], + [ + 7467119, + 35412674 + ], + [ + 89073847, + 70929980 + ], + [ + 86758334, + 64028642 + ], + [ + 58216116, + 51329879 + ], + [ + 25189850, + 62475554 + ], + [ + 22138631, + 68601044 + ], + [ + 63016922, + 711062 + ], + [ + 85453470, + 62008315 + ], + [ + 72395835, + 84011741 + ], + [ + 38118205, + 91606851 + ], + [ + 40693943, + 15550671 + ], + [ + 34857236, + 33821692 + ], + [ + 6577382, + 46206259 + ], + [ + 11534786, + 84467341 + ], + [ + 30538680, + 23416288 + ], + [ + 66832299, + 51779838 + ], + [ + 19184045, + 68331834 + ], + [ + 74952477, + 22639143 + ], + [ + 66176928, + 17345397 + ], + [ + 14022098, + 18816650 + ], + [ + 61146196, + 68524182 + ], + [ + 18500432, + 34904058 + ], + [ + 78452278, + 4378853 + ], + [ + 77913789, + 49686394 + ], + [ + 40321841, + 57056836 + ], + [ + 67663320, + 37017248 + ], + [ + 81099783, + 34288516 + ], + [ + 80514648, + 46249879 + ], + [ + 53015588, + 68520908 + ], + [ + 96595973, + 61404165 + ], + [ + 66304788, + 55430271 + ], + [ + 283921, + 86972502 + ], + [ + 19590226, + 32687746 + ], + [ + 78892114, + 79105978 + ], + [ + 7230649, + 10929151 + ], + [ + 72942344, + 62910375 + ], + [ + 86497540, + 51000540 + ], + [ + 67495598, + 38370243 + ], + [ + 64579891, + 43142891 + ], + [ + 46589498, + 79705269 + ], + [ + 26844528, + 6215399 + ], + [ + 22697599, + 63300753 + ], + [ + 33561848, + 15879096 + ], + [ + 51681410, + 91645437 + ], + [ + 45343570, + 95729055 + ], + [ + 73594616, + 30651674 + ], + [ + 58399321, + 67550211 + ], + [ + 61032318, + 49694193 + ], + [ + 244399, + 87131943 + ], + [ + 44830114, + 70611360 + ], + [ + 55538857, + 71485843 + ], + [ + 67455364, + 44748266 + ], + [ + 28626361, + 21759804 + ], + [ + 50606285, + 14185518 + ], + [ + 2812719, + 9522707 + ], + [ + 36784130, + 69118423 + ], + [ + 81664877, + 23021950 + ], + [ + 49727299, + 73170222 + ], + [ + 85530347, + 18480359 + ], + [ + 89362263, + 48267613 + ], + [ + 75684913, + 20860624 + ], + [ + 81241654, + 21994795 + ], + [ + 32547025, + 43064102 + ], + [ + 87772837, + 66844659 + ], + [ + 67502710, + 97031040 + ], + [ + 11101436, + 81787684 + ], + [ + 59572862, + 58789960 + ], + [ + 54988487, + 38868033 + ], + [ + 18030740, + 58755434 + ], + [ + 5562370, + 6715309 + ], + [ + 20592673, + 72534457 + ], + [ + 80275075, + 18424636 + ], + [ + 72649795, + 71622328 + ], + [ + 57931015, + 35624854 + ], + [ + 52699815, + 25026808 + ], + [ + 62785381, + 78857784 + ], + [ + 75422215, + 51321750 + ], + [ + 54915324, + 19989016 + ], + [ + 12957502, + 69795809 + ], + [ + 82143426, + 65536057 + ], + [ + 33692882, + 13695019 + ], + [ + 31402332, + 70090646 + ], + [ + 56658917, + 9694954 + ], + [ + 88387298, + 73156068 + ], + [ + 62041353, + 36203164 + ], + [ + 25127481, + 69206134 + ], + [ + 20367311, + 79882816 + ], + [ + 16131357, + 47649136 + ], + [ + 69768841, + 53560202 + ], + [ + 19505939, + 78996489 + ], + [ + 55076271, + 20466388 + ], + [ + 66026923, + 84642969 + ], + [ + 5722832, + 35222641 + ], + [ + 18628658, + 41041643 + ], + [ + 30413626, + 58599579 + ], + [ + 80708513, + 64087938 + ], + [ + 13574566, + 39899409 + ], + [ + 60433713, + 14090918 + ], + [ + 10887036, + 42901974 + ], + [ + 78375602, + 5098921 + ], + [ + 2187551, + 84035543 + ], + [ + 56139881, + 38689401 + ], + [ + 78425582, + 74922152 + ], + [ + 14335021, + 6168277 + ], + [ + 96358626, + 18137175 + ], + [ + 29885561, + 38624168 + ], + [ + 22003501, + 3941862 + ], + [ + 21258764, + 41731373 + ], + [ + 15933563, + 88895746 + ], + [ + 19967678, + 30231628 + ], + [ + 48870320, + 36353768 + ], + [ + 74087311, + 68638679 + ], + [ + 70299960, + 11437590 + ], + [ + 42591926, + 51629252 + ], + [ + 89166536, + 99345861 + ], + [ + 50130248, + 1599688 + ], + [ + 2682611, + 82259303 + ], + [ + 3961230, + 45181866 + ], + [ + 66088724, + 58040763 + ], + [ + 32547741, + 21491591 + ], + [ + 9233521, + 61530096 + ], + [ + 75417811, + 5994857 + ], + [ + 9685223, + 90059302 + ], + [ + 81622180, + 95081329 + ], + [ + 59285476, + 79219395 + ], + [ + 99466433, + 42435525 + ], + [ + 60118532, + 93508615 + ], + [ + 83970481, + 60376194 + ], + [ + 28714420, + 25124879 + ], + [ + 87891061, + 25559054 + ], + [ + 36898244, + 84779310 + ], + [ + 43842885, + 78086399 + ], + [ + 30430019, + 77128793 + ], + [ + 14129419, + 442240 + ], + [ + 89367578, + 10140753 + ], + [ + 8290237, + 90696710 + ], + [ + 14895700, + 15896738 + ], + [ + 72383330, + 57100559 + ], + [ + 34059807, + 28509301 + ], + [ + 68293675, + 56886189 + ], + [ + 80290857, + 91722334 + ], + [ + 28884416, + 65130730 + ], + [ + 19958785, + 597126 + ], + [ + 50470893, + 91662835 + ], + [ + 43285965, + 82681091 + ], + [ + 70074723, + 80850637 + ], + [ + 40707601, + 4415917 + ], + [ + 66750827, + 17819464 + ], + [ + 69692508, + 87676023 + ], + [ + 40108182, + 22381903 + ], + [ + 81513158, + 87965916 + ], + [ + 4656548, + 42400600 + ], + [ + 34462012, + 15924814 + ], + [ + 9233250, + 51757426 + ], + [ + 4773778, + 35245721 + ], + [ + 78257488, + 46062437 + ], + [ + 47049938, + 93330233 + ], + [ + 49649281, + 90199125 + ], + [ + 77945786, + 66350684 + ], + [ + 14711097, + 62686450 + ], + [ + 95811178, + 116016 + ], + [ + 315544, + 18378949 + ], + [ + 7788946, + 20985663 + ], + [ + 9088744, + 84843759 + ], + [ + 83721101, + 72888594 + ], + [ + 83765156, + 43335634 + ], + [ + 84336647, + 41103896 + ], + [ + 766660, + 15472440 + ], + [ + 42518630, + 18398007 + ], + [ + 54603861, + 45191311 + ], + [ + 96396449, + 13742560 + ], + [ + 84439191, + 83111573 + ], + [ + 89733968, + 74492737 + ], + [ + 36630342, + 99208499 + ], + [ + 20228985, + 81786242 + ], + [ + 94239858, + 80722109 + ], + [ + 25508774, + 61522583 + ], + [ + 41535927, + 44859552 + ], + [ + 74541857, + 92862108 + ], + [ + 83051030, + 40253136 + ], + [ + 92621311, + 20889377 + ], + [ + 19354641, + 83783183 + ], + [ + 88517787, + 47546466 + ], + [ + 63897550, + 91104400 + ], + [ + 19367253, + 81212000 + ], + [ + 47909829, + 14199269 + ], + [ + 61895740, + 2145859 + ], + [ + 10470253, + 74938517 + ], + [ + 30652681, + 84724774 + ], + [ + 95779118, + 42111890 + ], + [ + 63617605, + 88668354 + ], + [ + 96967945, + 65293608 + ], + [ + 87353684, + 55871941 + ], + [ + 32019952, + 38409775 + ], + [ + 88461882, + 83074386 + ], + [ + 42589058, + 9014140 + ], + [ + 11752608, + 73983829 + ], + [ + 42719802, + 8573275 + ], + [ + 55708163, + 12226420 + ], + [ + 54133779, + 27457850 + ], + [ + 37985496, + 72895793 + ], + [ + 59899471, + 90011721 + ], + [ + 8383681, + 86190685 + ], + [ + 54657663, + 63215311 + ], + [ + 3347291, + 17688687 + ], + [ + 12198015, + 70050153 + ], + [ + 87857260, + 30355093 + ], + [ + 17251623, + 5536660 + ], + [ + 17007959, + 52823536 + ], + [ + 69534797, + 72921766 + ], + [ + 4270431, + 61217604 + ], + [ + 53818960, + 22816853 + ], + [ + 68086739, + 647764 + ], + [ + 21626856, + 50821943 + ], + [ + 29749745, + 10877335 + ], + [ + 24294138, + 83678681 + ], + [ + 53848844, + 15751145 + ], + [ + 89758784, + 21290016 + ], + [ + 60319222, + 11881819 + ], + [ + 98419425, + 58914462 + ], + [ + 73798394, + 54717316 + ], + [ + 84177219, + 67681104 + ], + [ + 69731094, + 56638964 + ], + [ + 48336230, + 70994156 + ], + [ + 54382916, + 86205758 + ], + [ + 32622494, + 52067909 + ], + [ + 33694216, + 92881656 + ], + [ + 33551261, + 88565270 + ], + [ + 11770672, + 68314801 + ], + [ + 41428670, + 83924616 + ], + [ + 7217281, + 16615612 + ], + [ + 34123605, + 5422563 + ], + [ + 51622161, + 27690818 + ], + [ + 79885167, + 34647041 + ], + [ + 61944893, + 11984232 + ], + [ + 51054724, + 46574632 + ], + [ + 64070312, + 69977585 + ], + [ + 35836359, + 32517135 + ], + [ + 38038277, + 55890253 + ], + [ + 60790313, + 81844686 + ], + [ + 54039610, + 50671336 + ], + [ + 68708065, + 51469054 + ], + [ + 40074678, + 50688856 + ], + [ + 62874986, + 68017456 + ], + [ + 35311079, + 1767073 + ], + [ + 19104678, + 74560142 + ], + [ + 29113974, + 34702230 + ], + [ + 3837632, + 91156369 + ], + [ + 61499868, + 21833843 + ], + [ + 51351502, + 63177854 + ], + [ + 5578441, + 43634610 + ], + [ + 12188405, + 16931305 + ], + [ + 81728513, + 25588076 + ], + [ + 89651896, + 74351183 + ], + [ + 33193133, + 2865149 + ], + [ + 86752662, + 37765368 + ], + [ + 17367973, + 71218712 + ], + [ + 1347987, + 80265338 + ], + [ + 44701137, + 28386592 + ], + [ + 53930352, + 6740944 + ], + [ + 15711504, + 13258034 + ], + [ + 34098782, + 20867265 + ], + [ + 90859442, + 17366979 + ], + [ + 60738257, + 6227618 + ], + [ + 68270719, + 34693889 + ], + [ + 23903794, + 34937008 + ], + [ + 88769442, + 85963476 + ], + [ + 29372878, + 97387454 + ], + [ + 23359590, + 64343562 + ], + [ + 10214886, + 51813673 + ], + [ + 18287170, + 43907321 + ], + [ + 16637564, + 74441645 + ], + [ + 63980009, + 39659645 + ], + [ + 67652013, + 66935855 + ], + [ + 62676123, + 28105427 + ], + [ + 57813146, + 56683647 + ], + [ + 92716631, + 11344995 + ], + [ + 40491220, + 11991323 + ], + [ + 26176609, + 54792449 + ], + [ + 37144819, + 75708105 + ], + [ + 18288520, + 5141976 + ], + [ + 22655345, + 52652510 + ], + [ + 69108274, + 45354339 + ], + [ + 53437061, + 90757172 + ], + [ + 45036371, + 19973390 + ], + [ + 92976494, + 37304785 + ], + [ + 26238339, + 89167360 + ], + [ + 32291736, + 38033204 + ], + [ + 6830867, + 33460326 + ], + [ + 48348859, + 61322350 + ], + [ + 819777, + 31192558 + ], + [ + 54321045, + 44028796 + ], + [ + 71631887, + 7748994 + ], + [ + 92282082, + 64764715 + ], + [ + 55193603, + 93481124 + ], + [ + 48578851, + 73731730 + ], + [ + 15182807, + 19115587 + ], + [ + 83831182, + 35274916 + ], + [ + 52349213, + 2833427 + ], + [ + 71490686, + 44918233 + ], + [ + 27845496, + 62544995 + ], + [ + 65722557, + 4097300 + ], + [ + 37073882, + 225792 + ], + [ + 12678276, + 67954022 + ], + [ + 13124944, + 58352869 + ], + [ + 3927350, + 99201582 + ], + [ + 49939993, + 14780343 + ], + [ + 54177500, + 29084762 + ], + [ + 65320575, + 62218860 + ], + [ + 97349542, + 12217467 + ], + [ + 81575185, + 86530907 + ], + [ + 41635142, + 47133883 + ], + [ + 15248082, + 37761813 + ], + [ + 40512130, + 20925385 + ], + [ + 65338813, + 65316132 + ], + [ + 64605956, + 94414972 + ], + [ + 47036180, + 3619204 + ], + [ + 60835322, + 65357939 + ], + [ + 86362384, + 28578811 + ], + [ + 49356795, + 56869705 + ], + [ + 21327962, + 27785541 + ], + [ + 91909681, + 61570659 + ], + [ + 14832304, + 21714766 + ], + [ + 89555487, + 41539528 + ], + [ + 98966318, + 7859316 + ], + [ + 92133066, + 4541535 + ], + [ + 99743225, + 80266591 + ], + [ + 61891433, + 43404346 + ], + [ + 71279945, + 72917880 + ], + [ + 92640751, + 34118044 + ], + [ + 76739402, + 21975396 + ], + [ + 4032281, + 90262953 + ], + [ + 29463332, + 12677124 + ], + [ + 60789236, + 1517617 + ], + [ + 68225231, + 76870210 + ], + [ + 83133679, + 41270340 + ], + [ + 25302135, + 32440023 + ], + [ + 79985598, + 24632428 + ], + [ + 87959114, + 56040230 + ], + [ + 71957934, + 84045884 + ], + [ + 58962529, + 92416619 + ], + [ + 89050330, + 84534000 + ], + [ + 79956584, + 72002038 + ], + [ + 92382984, + 46561791 + ], + [ + 86800962, + 10832993 + ], + [ + 71593571, + 26569707 + ], + [ + 82695654, + 3900201 + ], + [ + 72518103, + 34593658 + ], + [ + 50145638, + 35550929 + ], + [ + 44702623, + 47375000 + ], + [ + 96916508, + 60721893 + ], + [ + 90660587, + 10140393 + ], + [ + 62169152, + 60162345 + ], + [ + 18362982, + 35705447 + ], + [ + 99912294, + 70346644 + ], + [ + 97398164, + 18700505 + ], + [ + 98329620, + 78133202 + ], + [ + 71944438, + 38041282 + ], + [ + 64437827, + 35324959 + ], + [ + 50959599, + 22096942 + ], + [ + 45502354, + 26169371 + ], + [ + 97723647, + 2262073 + ], + [ + 96876967, + 64788543 + ], + [ + 32383104, + 25068674 + ], + [ + 61291819, + 94374270 + ], + [ + 58086013, + 28433512 + ], + [ + 50077825, + 99658617 + ], + [ + 26090106, + 25283079 + ], + [ + 69032782, + 27638917 + ], + [ + 58076982, + 33923595 + ], + [ + 66514546, + 82725774 + ], + [ + 95128024, + 32493068 + ], + [ + 15505300, + 17837940 + ], + [ + 4145788, + 67102954 + ], + [ + 91930466, + 64464955 + ], + [ + 45519279, + 68932851 + ], + [ + 81955701, + 92774199 + ], + [ + 95125420, + 92352146 + ], + [ + 86405062, + 18076037 + ], + [ + 30253072, + 28251145 + ], + [ + 55015441, + 31427984 + ], + [ + 71923320, + 19570754 + ], + [ + 90406065, + 66788825 + ], + [ + 70604965, + 24223074 + ], + [ + 55693939, + 19036902 + ], + [ + 66632325, + 72677665 + ], + [ + 47282525, + 10961980 + ], + [ + 18941749, + 75282368 + ], + [ + 15825626, + 46102723 + ], + [ + 58827040, + 4995449 + ], + [ + 58703051, + 19790853 + ], + [ + 99365478, + 73238044 + ], + [ + 48705206, + 48867001 + ], + [ + 92291463, + 98082572 + ], + [ + 97298494, + 56304512 + ], + [ + 3477183, + 1389937 + ], + [ + 73543626, + 94026580 + ], + [ + 48665462, + 58468308 + ], + [ + 31287825, + 37890373 + ], + [ + 45394557, + 42234263 + ], + [ + 44849224, + 40790769 + ], + [ + 82462503, + 10095475 + ], + [ + 14647305, + 93802471 + ], + [ + 19530876, + 17075825 + ], + [ + 64372001, + 35490302 + ], + [ + 52324604, + 28276255 + ], + [ + 15840321, + 17698392 + ], + [ + 7022877, + 17433535 + ], + [ + 29933420, + 23487103 + ], + [ + 31746268, + 93090972 + ], + [ + 71146155, + 68128302 + ], + [ + 53968582, + 99240240 + ], + [ + 35765843, + 28010564 + ], + [ + 17034068, + 16086713 + ], + [ + 79975966, + 30897558 + ], + [ + 90007951, + 62977485 + ], + [ + 10711432, + 57500227 + ], + [ + 2058115, + 29996266 + ], + [ + 15168956, + 67847563 + ], + [ + 66755674, + 47609345 + ], + [ + 32551579, + 70884724 + ], + [ + 25024546, + 29887457 + ], + [ + 28907136, + 95445005 + ], + [ + 82738348, + 49713459 + ], + [ + 18776556, + 83045847 + ], + [ + 55413046, + 82055739 + ], + [ + 71709066, + 76434635 + ], + [ + 48164710, + 30635933 + ], + [ + 81788215, + 81738454 + ], + [ + 6425257, + 16438394 + ], + [ + 64786161, + 67718707 + ], + [ + 67799467, + 4285441 + ], + [ + 94596642, + 19270044 + ], + [ + 39075463, + 66968507 + ], + [ + 3567150, + 71767700 + ], + [ + 20615324, + 73309273 + ], + [ + 68286149, + 39911548 + ], + [ + 2000084, + 97762640 + ], + [ + 8181400, + 64434545 + ], + [ + 86173569, + 63690598 + ], + [ + 39421916, + 62883922 + ], + [ + 90147161, + 10220361 + ], + [ + 60670424, + 36468153 + ], + [ + 48570822, + 8714729 + ], + [ + 81581242, + 32692409 + ], + [ + 1865838, + 12308052 + ], + [ + 15105125, + 33121950 + ], + [ + 99546845, + 6330265 + ], + [ + 6640120, + 31891205 + ], + [ + 19803308, + 68294960 + ], + [ + 95799199, + 96867936 + ], + [ + 33943015, + 42717700 + ], + [ + 27929152, + 72147023 + ], + [ + 91644344, + 8485606 + ], + [ + 23705608, + 66296437 + ], + [ + 59540808, + 6963982 + ], + [ + 45327004, + 51439160 + ], + [ + 35653099, + 48417902 + ], + [ + 13879593, + 88264373 + ], + [ + 84002216, + 87128193 + ], + [ + 66096965, + 96787916 + ], + [ + 11009317, + 44482530 + ], + [ + 35421153, + 54486279 + ], + [ + 14229718, + 18557512 + ], + [ + 68587101, + 64583316 + ], + [ + 72511471, + 234089 + ], + [ + 23306189, + 44975342 + ], + [ + 16783380, + 32580277 + ], + [ + 31215142, + 33121313 + ], + [ + 925164, + 12240942 + ], + [ + 72115377, + 89304691 + ], + [ + 99496528, + 79871382 + ], + [ + 90263226, + 71119949 + ], + [ + 24051753, + 14105600 + ], + [ + 75809943, + 86512860 + ], + [ + 25807301, + 16795442 + ], + [ + 29218828, + 95491347 + ], + [ + 57250227, + 78815922 + ], + [ + 6540515, + 88378998 + ], + [ + 44555646, + 23779760 + ], + [ + 30505485, + 94946633 + ], + [ + 98251467, + 19420167 + ], + [ + 12161641, + 2349029 + ], + [ + 38045343, + 62121714 + ], + [ + 4277778, + 42626027 + ], + [ + 18006922, + 19012690 + ], + [ + 65541278, + 91187401 + ], + [ + 34547934, + 17467681 + ], + [ + 53166923, + 18203097 + ], + [ + 55268624, + 32732149 + ], + [ + 41851918, + 12194749 + ], + [ + 11468317, + 15117340 + ], + [ + 13307496, + 59438416 + ], + [ + 10946613, + 91619546 + ], + [ + 17631377, + 68007465 + ], + [ + 12335829, + 87827502 + ], + [ + 79207050, + 96040849 + ], + [ + 66692852, + 95802187 + ], + [ + 70389935, + 27664108 + ], + [ + 61813359, + 20412331 + ], + [ + 82559437, + 59539053 + ], + [ + 39863314, + 71172513 + ], + [ + 81492868, + 44319304 + ], + [ + 65613822, + 83183577 + ], + [ + 90151832, + 86434377 + ], + [ + 62022031, + 90138800 + ], + [ + 75595006, + 82906229 + ], + [ + 61454939, + 87384788 + ], + [ + 30839984, + 83928921 + ], + [ + 42070037, + 59841118 + ], + [ + 54888279, + 48851933 + ], + [ + 31662713, + 93834721 + ], + [ + 80642399, + 74671978 + ], + [ + 96341371, + 81661336 + ], + [ + 39874138, + 26145989 + ], + [ + 71925599, + 84606645 + ], + [ + 25508955, + 68130388 + ], + [ + 78631853, + 59714876 + ], + [ + 25556191, + 13820561 + ], + [ + 97597665, + 85504765 + ], + [ + 99591561, + 41987412 + ], + [ + 63616442, + 56197403 + ], + [ + 78795119, + 40441846 + ], + [ + 22034226, + 53464950 + ], + [ + 1823136, + 70270897 + ], + [ + 91240363, + 6274634 + ], + [ + 58003018, + 41535457 + ], + [ + 73563927, + 58991943 + ], + [ + 40357552, + 66524353 + ], + [ + 21053080, + 48188749 + ], + [ + 69006141, + 26298206 + ], + [ + 18240560, + 56722854 + ], + [ + 25582318, + 48612719 + ], + [ + 38618240, + 6422481 + ], + [ + 2329730, + 62952876 + ], + [ + 7621890, + 70272170 + ], + [ + 71619652, + 34083993 + ], + [ + 37076096, + 18355342 + ], + [ + 33666738, + 56412210 + ], + [ + 62719729, + 97509576 + ], + [ + 85956745, + 60824149 + ], + [ + 20588202, + 22016848 + ], + [ + 9435945, + 81446454 + ], + [ + 25727399, + 62903716 + ], + [ + 87061705, + 29192210 + ], + [ + 52492779, + 79097334 + ], + [ + 22943065, + 7050215 + ], + [ + 52619237, + 32513131 + ], + [ + 59370364, + 52984840 + ], + [ + 37213802, + 87718838 + ], + [ + 61837960, + 33703185 + ], + [ + 27550410, + 14241235 + ], + [ + 45459533, + 22926801 + ], + [ + 88812239, + 39550908 + ], + [ + 54696621, + 56290507 + ], + [ + 32750712, + 37989172 + ], + [ + 78135365, + 6941995 + ], + [ + 85405181, + 73066847 + ], + [ + 53007107, + 46547247 + ], + [ + 14081445, + 2642949 + ], + [ + 70855180, + 44340497 + ], + [ + 17278244, + 58639834 + ], + [ + 15267967, + 32476709 + ], + [ + 92331677, + 81303334 + ], + [ + 19997485, + 84477543 + ], + [ + 52486963, + 98128054 + ], + [ + 82959759, + 44517595 + ], + [ + 51741427, + 73600395 + ], + [ + 88843298, + 62474124 + ], + [ + 76365830, + 8174297 + ], + [ + 80273694, + 94945875 + ], + [ + 91619850, + 45560899 + ], + [ + 75671764, + 61084852 + ], + [ + 86943619, + 93444666 + ], + [ + 5946402, + 79407788 + ], + [ + 64387803, + 1310948 + ], + [ + 3864209, + 62630284 + ], + [ + 56889203, + 94527214 + ], + [ + 87797267, + 25362943 + ], + [ + 28991228, + 57899334 + ], + [ + 79846741, + 94440407 + ], + [ + 66356797, + 89426016 + ], + [ + 6290956, + 4590100 + ], + [ + 23476141, + 22305525 + ], + [ + 10971989, + 32642590 + ], + [ + 3293394, + 8305341 + ], + [ + 75827195, + 41966340 + ], + [ + 37796122, + 36252763 + ], + [ + 82223287, + 3606858 + ], + [ + 17599657, + 36923861 + ], + [ + 50743520, + 44098807 + ], + [ + 44811746, + 71831937 + ], + [ + 52394466, + 19711312 + ], + [ + 13648308, + 87927756 + ], + [ + 94673524, + 15906077 + ], + [ + 70419926, + 64185563 + ], + [ + 64698829, + 37123368 + ], + [ + 67174524, + 94664813 + ], + [ + 13875148, + 54543077 + ], + [ + 61442297, + 58170308 + ], + [ + 58768919, + 30075569 + ], + [ + 46572757, + 48428049 + ], + [ + 99283522, + 7706043 + ], + [ + 90653328, + 16366779 + ], + [ + 70546267, + 16557914 + ], + [ + 92979020, + 33650920 + ], + [ + 27605314, + 48118296 + ], + [ + 49976105, + 43564145 + ], + [ + 65841995, + 78758043 + ], + [ + 46575924, + 60437256 + ], + [ + 68964203, + 20929706 + ], + [ + 44901857, + 63974948 + ], + [ + 13258326, + 96978030 + ], + [ + 5040055, + 44043202 + ], + [ + 73059539, + 36138371 + ], + [ + 58971865, + 188293 + ], + [ + 62764328, + 66179919 + ], + [ + 35481175, + 39027194 + ], + [ + 63108812, + 32693132 + ], + [ + 80173055, + 84603848 + ], + [ + 60765910, + 14288856 + ], + [ + 91225152, + 19473077 + ], + [ + 54115979, + 12757472 + ], + [ + 83842256, + 92871156 + ], + [ + 26473107, + 49316966 + ], + [ + 52062430, + 66172627 + ], + [ + 76535393, + 11955724 + ], + [ + 7622599, + 93631264 + ], + [ + 31103733, + 59227662 + ], + [ + 78608139, + 14343041 + ], + [ + 65738154, + 28285938 + ], + [ + 16989406, + 7300486 + ], + [ + 56985629, + 74020801 + ], + [ + 62139782, + 96993069 + ], + [ + 97497154, + 43514981 + ], + [ + 2401744, + 41524248 + ], + [ + 76073099, + 12007187 + ], + [ + 35398513, + 96989015 + ], + [ + 51064028, + 51418211 + ], + [ + 97061491, + 23201096 + ], + [ + 24030164, + 12449063 + ], + [ + 65355031, + 27181036 + ], + [ + 41841894, + 58260177 + ], + [ + 65814355, + 41783297 + ], + [ + 38105311, + 16311010 + ], + [ + 67941928, + 17900600 + ], + [ + 36563354, + 11221625 + ], + [ + 1525874, + 37731977 + ], + [ + 60054862, + 36190126 + ], + [ + 22537115, + 76006401 + ], + [ + 89837921, + 50913438 + ], + [ + 12738550, + 62994203 + ], + [ + 58835248, + 5680220 + ], + [ + 7068161, + 19182521 + ], + [ + 42535407, + 22748620 + ], + [ + 86139345, + 88685503 + ], + [ + 67958654, + 78491618 + ], + [ + 96956572, + 34704972 + ], + [ + 5949620, + 13658345 + ], + [ + 84766881, + 10895 + ], + [ + 46967677, + 76596664 + ], + [ + 8646857, + 55586411 + ], + [ + 79650497, + 59750028 + ], + [ + 47276064, + 50778578 + ], + [ + 3611419, + 57805098 + ], + [ + 36477500, + 72883207 + ], + [ + 80755705, + 59659378 + ], + [ + 37357127, + 50946884 + ], + [ + 98114169, + 28520092 + ], + [ + 9665709, + 89111942 + ], + [ + 14030441, + 96964095 + ], + [ + 88338413, + 48296632 + ], + [ + 67717578, + 36727421 + ], + [ + 88168900, + 35822962 + ], + [ + 25464400, + 63672857 + ], + [ + 2234276, + 55263657 + ], + [ + 34955414, + 73669900 + ], + [ + 40930077, + 43369732 + ], + [ + 62438142, + 45913995 + ], + [ + 5885737, + 36171341 + ], + [ + 9801986, + 11301875 + ], + [ + 27440533, + 88313022 + ], + [ + 2530465, + 82987949 + ], + [ + 9930156, + 8800480 + ], + [ + 26170314, + 21103341 + ], + [ + 66209959, + 27904373 + ], + [ + 61008455, + 2324230 + ], + [ + 88506336, + 42148539 + ], + [ + 8029957, + 95385895 + ], + [ + 87644546, + 65910514 + ], + [ + 17292128, + 68174739 + ], + [ + 83700141, + 52859403 + ], + [ + 61615706, + 90086417 + ], + [ + 38099146, + 99420078 + ], + [ + 45637342, + 55865362 + ], + [ + 61213302, + 61146376 + ], + [ + 28395562, + 48682835 + ], + [ + 93152410, + 88278706 + ], + [ + 77005698, + 99587325 + ], + [ + 33636243, + 84056750 + ], + [ + 7374530, + 68194737 + ], + [ + 73512257, + 99539196 + ], + [ + 73499443, + 9639364 + ], + [ + 3620291, + 73710842 + ], + [ + 90225634, + 59684878 + ], + [ + 15406172, + 55942549 + ], + [ + 81650200, + 14111492 + ], + [ + 98078895, + 81063500 + ], + [ + 31690409, + 8265594 + ], + [ + 99598583, + 56928321 + ], + [ + 57201380, + 75678196 + ], + [ + 77618256, + 5997588 + ], + [ + 30767936, + 14836445 + ], + [ + 12795161, + 17678707 + ], + [ + 98875048, + 5871059 + ], + [ + 1400497, + 47856575 + ], + [ + 6086285, + 81002915 + ], + [ + 64958077, + 44008686 + ], + [ + 12855147, + 64578064 + ], + [ + 8101573, + 55734738 + ], + [ + 3292645, + 58435243 + ], + [ + 68340289, + 77478591 + ], + [ + 62550206, + 28392400 + ], + [ + 81007258, + 2459415 + ], + [ + 50033980, + 50308344 + ], + [ + 51671645, + 29508279 + ], + [ + 76848594, + 42192100 + ], + [ + 27463730, + 87912054 + ], + [ + 52203969, + 16785612 + ], + [ + 77397744, + 33978406 + ], + [ + 83121539, + 22242973 + ], + [ + 26919536, + 35331415 + ], + [ + 82881503, + 14653762 + ], + [ + 38173952, + 19009980 + ], + [ + 52150868, + 38393209 + ], + [ + 70520225, + 22812162 + ], + [ + 41454393, + 35806695 + ], + [ + 26623418, + 78731079 + ], + [ + 78175365, + 57317377 + ], + [ + 67472169, + 22418361 + ], + [ + 86374628, + 58341553 + ], + [ + 14547396, + 53976960 + ], + [ + 99650004, + 97387751 + ], + [ + 16991363, + 12422462 + ], + [ + 70970166, + 70162191 + ], + [ + 60415778, + 49999135 + ], + [ + 31340990, + 8712396 + ], + [ + 10328016, + 47177995 + ], + [ + 58432841, + 74878588 + ], + [ + 56320113, + 93230692 + ], + [ + 19506382, + 60300500 + ], + [ + 23919176, + 35325236 + ], + [ + 40737357, + 58390494 + ], + [ + 51761184, + 30617031 + ], + [ + 74974270, + 59592134 + ], + [ + 19761473, + 4651549 + ], + [ + 67244434, + 96451141 + ], + [ + 77846673, + 18114210 + ], + [ + 23900340, + 20054299 + ], + [ + 83796929, + 74132344 + ], + [ + 8199681, + 93789622 + ], + [ + 65440666, + 28839380 + ], + [ + 96572949, + 39002885 + ], + [ + 44560235, + 55921123 + ], + [ + 12194651, + 39092662 + ], + [ + 4514787, + 9213455 + ], + [ + 82804211, + 51436186 + ], + [ + 58616337, + 81550584 + ], + [ + 95149254, + 43124669 + ], + [ + 52989805, + 53429319 + ], + [ + 12511028, + 21464528 + ], + [ + 30375509, + 60501483 + ], + [ + 88977423, + 10920429 + ], + [ + 35874254, + 91669027 + ], + [ + 80589071, + 67136014 + ], + [ + 28575078, + 86224945 + ], + [ + 88056414, + 84447965 + ], + [ + 12047894, + 84161498 + ], + [ + 37762806, + 35618040 + ], + [ + 37807906, + 78818917 + ], + [ + 15791211, + 92286619 + ], + [ + 83680518, + 11948430 + ], + [ + 58572478, + 42573193 + ], + [ + 34438403, + 92827300 + ], + [ + 36321239, + 57462737 + ], + [ + 60862095, + 30900665 + ], + [ + 21425609, + 78119788 + ], + [ + 91224889, + 51314810 + ], + [ + 57338117, + 8054954 + ], + [ + 71658576, + 23244872 + ], + [ + 21485657, + 97259968 + ], + [ + 15296633, + 73769286 + ], + [ + 49176689, + 10237072 + ], + [ + 36040504, + 60071559 + ], + [ + 98359353, + 39724425 + ], + [ + 8819448, + 10094159 + ], + [ + 68592055, + 93449980 + ], + [ + 33717943, + 72520763 + ], + [ + 1242800, + 59931937 + ], + [ + 81020004, + 96696505 + ], + [ + 21298809, + 73081790 + ], + [ + 8203299, + 58015451 + ], + [ + 37916899, + 89493732 + ], + [ + 78985808, + 47229106 + ], + [ + 47551721, + 32187537 + ], + [ + 74383755, + 97353069 + ], + [ + 81917307, + 28419292 + ], + [ + 97608487, + 85160887 + ], + [ + 84114045, + 37215617 + ], + [ + 30076146, + 46705868 + ], + [ + 75447105, + 15119373 + ], + [ + 27766334, + 23903924 + ], + [ + 5487613, + 91004907 + ], + [ + 28984616, + 59677777 + ], + [ + 3637239, + 63953630 + ], + [ + 84690585, + 15103017 + ], + [ + 45300308, + 36416783 + ], + [ + 23323447, + 68585921 + ], + [ + 12748569, + 56300140 + ], + [ + 44221413, + 49640888 + ], + [ + 92035775, + 57529315 + ], + [ + 8363018, + 8757025 + ], + [ + 77628685, + 66251067 + ], + [ + 18426036, + 51265256 + ], + [ + 90871075, + 75691017 + ], + [ + 9966242, + 86058308 + ], + [ + 73536126, + 40106594 + ], + [ + 49053850, + 68890877 + ], + [ + 22543141, + 1377228 + ], + [ + 8963849, + 87319553 + ], + [ + 40887622, + 48974550 + ], + [ + 42470297, + 6744155 + ], + [ + 88457214, + 48411617 + ], + [ + 16755507, + 57826179 + ], + [ + 44351934, + 86393028 + ], + [ + 96159656, + 46519405 + ], + [ + 55786948, + 79875895 + ], + [ + 76479884, + 16913310 + ], + [ + 27617821, + 28468370 + ], + [ + 10724961, + 39886131 + ], + [ + 99915656, + 33854077 + ], + [ + 4817521, + 57496677 + ], + [ + 73217986, + 96694469 + ], + [ + 11838682, + 84837157 + ], + [ + 24952426, + 89388612 + ], + [ + 85482840, + 62178358 + ], + [ + 21935773, + 86738737 + ], + [ + 27142687, + 25521353 + ], + [ + 55822124, + 74036393 + ], + [ + 43216107, + 61045806 + ], + [ + 90790933, + 68642412 + ], + [ + 44479418, + 9917153 + ], + [ + 71555944, + 12053000 + ], + [ + 44278139, + 63236944 + ], + [ + 5525162, + 48844363 + ], + [ + 46953994, + 40121628 + ], + [ + 83053991, + 98367040 + ], + [ + 48285118, + 38137544 + ], + [ + 19868658, + 5594217 + ], + [ + 74003445, + 99939209 + ], + [ + 44037289, + 24148498 + ], + [ + 20386516, + 73348733 + ], + [ + 73612085, + 78334545 + ], + [ + 13470117, + 98098939 + ], + [ + 29143629, + 7767186 + ], + [ + 78723169, + 97101617 + ], + [ + 46620279, + 34486709 + ], + [ + 35152677, + 16295469 + ], + [ + 13954340, + 37999118 + ], + [ + 34130803, + 33582543 + ], + [ + 14113206, + 71590644 + ], + [ + 7064764, + 79350775 + ], + [ + 32299618, + 90297712 + ], + [ + 91460937, + 43791102 + ], + [ + 22805262, + 68017053 + ], + [ + 14696624, + 74313464 + ], + [ + 88206338, + 61392230 + ], + [ + 56541459, + 76871554 + ], + [ + 68986810, + 67024276 + ], + [ + 47583256, + 48542909 + ], + [ + 35964076, + 69665974 + ], + [ + 84908507, + 85254913 + ], + [ + 35099058, + 65836886 + ], + [ + 19762441, + 40952017 + ], + [ + 43235622, + 40494961 + ], + [ + 31096869, + 11926922 + ], + [ + 18167702, + 35686899 + ], + [ + 37399241, + 89974128 + ], + [ + 53061424, + 82281547 + ], + [ + 61189536, + 74865146 + ], + [ + 56805596, + 2754712 + ], + [ + 4510774, + 83745084 + ], + [ + 4705901, + 97408853 + ], + [ + 69544748, + 82378767 + ], + [ + 70530496, + 65993515 + ], + [ + 91244876, + 67016289 + ], + [ + 95154322, + 49246074 + ], + [ + 87321490, + 33876083 + ], + [ + 20255193, + 24436 + ], + [ + 85070886, + 19183202 + ], + [ + 70182622, + 33455606 + ], + [ + 94840361, + 77758062 + ], + [ + 49310138, + 82835463 + ], + [ + 60344805, + 56365360 + ], + [ + 92988410, + 42571227 + ], + [ + 46832133, + 14550192 + ], + [ + 10332765, + 38657105 + ], + [ + 19928081, + 86627315 + ], + [ + 89242499, + 67968825 + ], + [ + 59399039, + 39833864 + ], + [ + 27223161, + 60818911 + ], + [ + 81560072, + 66909682 + ], + [ + 37552429, + 37090452 + ], + [ + 55600523, + 1805043 + ], + [ + 11541195, + 94311735 + ], + [ + 30450547, + 60156401 + ], + [ + 62733084, + 82489999 + ], + [ + 69236654, + 65800447 + ], + [ + 29324900, + 58142606 + ], + [ + 17361578, + 67341280 + ], + [ + 83472806, + 4280529 + ], + [ + 5781719, + 11896677 + ], + [ + 14013287, + 56708649 + ], + [ + 71423314, + 27427821 + ], + [ + 1972387, + 51280316 + ], + [ + 35398388, + 43450202 + ], + [ + 10924325, + 38708715 + ], + [ + 97367680, + 30907998 + ], + [ + 56501742, + 52292139 + ], + [ + 82198924, + 35669571 + ], + [ + 30470671, + 54184814 + ], + [ + 90481033, + 91681974 + ], + [ + 86345738, + 4340279 + ], + [ + 63834459, + 44707640 + ], + [ + 67703662, + 16857541 + ], + [ + 4934879, + 24456421 + ], + [ + 83554849, + 3420926 + ], + [ + 11693227, + 28561400 + ], + [ + 27981952, + 3892020 + ], + [ + 29499609, + 21751530 + ], + [ + 87408445, + 20664903 + ], + [ + 32293791, + 11027530 + ], + [ + 23890746, + 48331034 + ], + [ + 20971867, + 87774952 + ], + [ + 22645957, + 63762654 + ], + [ + 55919835, + 23070645 + ], + [ + 22277277, + 44201286 + ], + [ + 47734957, + 26810298 + ], + [ + 75939018, + 20690167 + ], + [ + 13110305, + 99272219 + ], + [ + 91646274, + 24748779 + ], + [ + 85105453, + 99891391 + ], + [ + 19344736, + 4882032 + ], + [ + 45850643, + 9812373 + ], + [ + 67799195, + 94071347 + ], + [ + 26086325, + 41962634 + ], + [ + 59644596, + 71893139 + ], + [ + 48789286, + 52221153 + ], + [ + 93086761, + 8705106 + ], + [ + 47092034, + 90829280 + ], + [ + 71349458, + 54999083 + ], + [ + 4119149, + 65973347 + ], + [ + 83679344, + 19483329 + ], + [ + 25311127, + 94756261 + ], + [ + 41692966, + 33729321 + ], + [ + 6180235, + 69025841 + ], + [ + 33098533, + 66856498 + ], + [ + 48656864, + 45268604 + ], + [ + 93174686, + 56112663 + ], + [ + 55189822, + 63955294 + ], + [ + 66420000, + 35691621 + ], + [ + 8208462, + 30405793 + ], + [ + 57715239, + 62487122 + ], + [ + 69832660, + 4705066 + ], + [ + 65233308, + 50646481 + ], + [ + 75588316, + 37764172 + ], + [ + 12992167, + 294807 + ], + [ + 85179091, + 31027314 + ], + [ + 17357719, + 43178872 + ], + [ + 48007178, + 58518979 + ], + [ + 47086029, + 14956217 + ], + [ + 76357553, + 94973160 + ], + [ + 24516134, + 923907 + ], + [ + 50060860, + 14053591 + ], + [ + 16871760, + 48286634 + ], + [ + 32893665, + 95837897 + ], + [ + 12891056, + 85392250 + ], + [ + 24539502, + 58318981 + ], + [ + 73375950, + 91488402 + ], + [ + 36159569, + 64166899 + ], + [ + 10703384, + 17325970 + ], + [ + 70150375, + 58188068 + ], + [ + 98092185, + 62236110 + ], + [ + 92697361, + 86622114 + ], + [ + 52553714, + 64095492 + ], + [ + 80736093, + 36878081 + ], + [ + 43684571, + 72623101 + ], + [ + 3231527, + 34575368 + ], + [ + 57367948, + 18105789 + ], + [ + 73630040, + 17464183 + ], + [ + 96409163, + 17079563 + ], + [ + 95972289, + 16135629 + ], + [ + 46308020, + 34135062 + ], + [ + 58095482, + 79230060 + ], + [ + 42105910, + 55519413 + ], + [ + 16405405, + 64668943 + ], + [ + 63190378, + 2391716 + ], + [ + 57292013, + 80702700 + ], + [ + 76787426, + 51038132 + ], + [ + 56997238, + 64833985 + ], + [ + 91101307, + 25813012 + ], + [ + 46006616, + 39247820 + ], + [ + 77651277, + 34010814 + ], + [ + 27905229, + 90520085 + ], + [ + 83357941, + 20762260 + ], + [ + 45410662, + 34295324 + ], + [ + 68300567, + 34676763 + ], + [ + 16127210, + 42629903 + ], + [ + 76129811, + 14548566 + ], + [ + 93029734, + 59604327 + ], + [ + 77189418, + 33573503 + ], + [ + 78538638, + 69935930 + ], + [ + 47365360, + 61416126 + ], + [ + 32762526, + 7035203 + ], + [ + 74173979, + 24224591 + ], + [ + 39196417, + 59725267 + ], + [ + 17826775, + 65773312 + ], + [ + 31845575, + 66697700 + ], + [ + 57382159, + 67080978 + ], + [ + 8218267, + 38886070 + ], + [ + 85236121, + 37732414 + ], + [ + 51869394, + 19336494 + ], + [ + 17482446, + 5384027 + ], + [ + 63970960, + 81199289 + ], + [ + 67016500, + 52949568 + ], + [ + 14264489, + 65246438 + ], + [ + 18724437, + 66202188 + ], + [ + 49256487, + 77260803 + ], + [ + 90987001, + 61994957 + ], + [ + 35617863, + 8784548 + ], + [ + 47632991, + 37409389 + ], + [ + 83512424, + 3581997 + ], + [ + 68751768, + 44323403 + ], + [ + 16644169, + 7358823 + ], + [ + 41971578, + 66280619 + ], + [ + 29074350, + 37074068 + ], + [ + 20621637, + 63066394 + ], + [ + 86266060, + 35410111 + ], + [ + 12889807, + 35869655 + ], + [ + 60040862, + 8075130 + ], + [ + 82263844, + 96250257 + ], + [ + 13661593, + 1772008 + ], + [ + 60425076, + 97470693 + ], + [ + 45263164, + 81683297 + ], + [ + 40362408, + 38940888 + ], + [ + 30158277, + 88426593 + ], + [ + 74925649, + 48977180 + ], + [ + 4220732, + 60385526 + ], + [ + 42808770, + 49264242 + ], + [ + 30494307, + 40566720 + ], + [ + 59662283, + 66620515 + ], + [ + 25473337, + 64058314 + ], + [ + 44658460, + 7177545 + ], + [ + 59673702, + 21421874 + ], + [ + 6181124, + 10383997 + ], + [ + 62023224, + 3526933 + ], + [ + 42667690, + 6397064 + ], + [ + 77476921, + 57859735 + ], + [ + 83116915, + 28375429 + ], + [ + 90560150, + 31196901 + ], + [ + 55006459, + 85621532 + ], + [ + 42731238, + 27724399 + ], + [ + 22597811, + 30476998 + ], + [ + 14400241, + 14792516 + ], + [ + 33692182, + 29768658 + ], + [ + 87778556, + 15571667 + ], + [ + 2449610, + 92259265 + ], + [ + 72901441, + 94737605 + ], + [ + 76225706, + 35144179 + ], + [ + 41283129, + 21239779 + ], + [ + 16391452, + 28591319 + ], + [ + 47283798, + 46934771 + ], + [ + 47199614, + 10171025 + ], + [ + 83694321, + 2703790 + ], + [ + 7885893, + 49297896 + ], + [ + 73810324, + 27519874 + ], + [ + 3335687, + 18005492 + ], + [ + 34187524, + 18338656 + ], + [ + 76044311, + 22906916 + ], + [ + 30589850, + 98103430 + ], + [ + 25934495, + 59625111 + ], + [ + 93299619, + 94824405 + ], + [ + 59948696, + 40874315 + ], + [ + 1276640, + 81252015 + ], + [ + 76598245, + 59460090 + ], + [ + 87188958, + 96655657 + ], + [ + 79451654, + 87871057 + ], + [ + 1420770, + 76032938 + ], + [ + 73118479, + 26652160 + ], + [ + 7922746, + 75253131 + ], + [ + 27231521, + 1535742 + ], + [ + 94463381, + 76390362 + ], + [ + 46716124, + 37047429 + ], + [ + 1750579, + 8813708 + ], + [ + 39478470, + 43858594 + ], + [ + 83303613, + 74787240 + ], + [ + 47344101, + 95333305 + ], + [ + 452679, + 73474890 + ], + [ + 26929691, + 13422310 + ], + [ + 17422338, + 64856388 + ], + [ + 40347092, + 22284654 + ], + [ + 7724907, + 92894969 + ], + [ + 68616733, + 71952041 + ], + [ + 50114466, + 48318956 + ], + [ + 96629584, + 62845524 + ], + [ + 11663168, + 34428437 + ], + [ + 59746544, + 67894378 + ], + [ + 12697648, + 21328549 + ], + [ + 2825035, + 94258691 + ], + [ + 74908978, + 96118610 + ], + [ + 3350740, + 44895297 + ], + [ + 81843341, + 21405389 + ], + [ + 17319662, + 48968851 + ], + [ + 9445157, + 1507648 + ], + [ + 50436156, + 20739348 + ], + [ + 42984816, + 1038461 + ], + [ + 83041681, + 69436153 + ], + [ + 19552857, + 10483913 + ], + [ + 66176702, + 81670583 + ], + [ + 26089615, + 17202397 + ], + [ + 93060143, + 87300975 + ], + [ + 67900645, + 89492446 + ], + [ + 64149822, + 94990398 + ], + [ + 17763661, + 60592436 + ], + [ + 20307312, + 33549223 + ], + [ + 99619489, + 32793752 + ], + [ + 44230303, + 56545045 + ], + [ + 45733551, + 30779468 + ], + [ + 8594798, + 18215437 + ], + [ + 9660924, + 23950853 + ], + [ + 49412693, + 70430196 + ], + [ + 31345386, + 31560798 + ], + [ + 767799, + 18642103 + ], + [ + 84131245, + 46540198 + ], + [ + 52978756, + 22294995 + ], + [ + 16667123, + 22615893 + ], + [ + 73111535, + 58040135 + ], + [ + 73903129, + 79596446 + ], + [ + 46922086, + 44928479 + ], + [ + 46526931, + 29334658 + ], + [ + 85738820, + 65841836 + ], + [ + 74002831, + 50343538 + ], + [ + 23032042, + 70816120 + ], + [ + 87625878, + 15702873 + ], + [ + 81808408, + 32404578 + ], + [ + 52667649, + 18419743 + ], + [ + 89111833, + 5269132 + ], + [ + 12045361, + 19500473 + ], + [ + 13506469, + 66649944 + ], + [ + 67540625, + 2989455 + ], + [ + 17602104, + 3620687 + ], + [ + 44377799, + 98487303 + ], + [ + 57346209, + 10609506 + ], + [ + 70890427, + 24445523 + ], + [ + 12560598, + 10881649 + ], + [ + 22996614, + 57212287 + ], + [ + 20507387, + 66609254 + ], + [ + 46727780, + 54218429 + ], + [ + 14381854, + 9002232 + ], + [ + 89750367, + 59262281 + ], + [ + 88531293, + 31966565 + ], + [ + 98023631, + 1702957 + ], + [ + 98963428, + 31346654 + ], + [ + 3070241, + 18281949 + ], + [ + 63295433, + 55776672 + ], + [ + 46809655, + 96306613 + ], + [ + 44939930, + 91201836 + ], + [ + 20414546, + 98163633 + ], + [ + 83542393, + 66648547 + ], + [ + 22458169, + 36495975 + ], + [ + 13977893, + 63259890 + ], + [ + 97117960, + 33571741 + ], + [ + 32952644, + 82872236 + ], + [ + 20424737, + 88039568 + ], + [ + 80501354, + 10871755 + ], + [ + 80305791, + 36344902 + ], + [ + 10661962, + 94278248 + ], + [ + 14499944, + 15379503 + ], + [ + 30164007, + 51343329 + ], + [ + 75993403, + 99702436 + ], + [ + 90430966, + 48591760 + ], + [ + 21849169, + 24272281 + ], + [ + 46323448, + 60205988 + ], + [ + 93003630, + 8608147 + ], + [ + 32554844, + 21150189 + ], + [ + 13582544, + 97698843 + ], + [ + 88974120, + 64140508 + ], + [ + 87908367, + 43120509 + ], + [ + 95231952, + 59125264 + ], + [ + 34075485, + 51842968 + ], + [ + 55353616, + 96350712 + ], + [ + 74543888, + 56950913 + ], + [ + 2914728, + 43613568 + ], + [ + 65285633, + 95752906 + ], + [ + 36854450, + 48200342 + ], + [ + 85952807, + 26830428 + ], + [ + 32506597, + 88606821 + ], + [ + 75312763, + 5597685 + ], + [ + 41981417, + 26130460 + ], + [ + 72319558, + 28859578 + ], + [ + 15036677, + 36716835 + ], + [ + 8792595, + 11960319 + ], + [ + 73713522, + 22044337 + ], + [ + 35939100, + 98151325 + ], + [ + 22429413, + 45359663 + ], + [ + 43610242, + 83844199 + ], + [ + 31755499, + 72684747 + ], + [ + 63849522, + 50186606 + ], + [ + 40394428, + 94716616 + ], + [ + 90253847, + 3361186 + ], + [ + 17621283, + 44755882 + ], + [ + 59781806, + 34135742 + ], + [ + 98091124, + 14280448 + ], + [ + 99002330, + 21925320 + ], + [ + 20406847, + 15031737 + ], + [ + 78895832, + 708477 + ], + [ + 39058202, + 1451511 + ], + [ + 63227791, + 2009897 + ], + [ + 37584386, + 32731200 + ], + [ + 92756284, + 73753053 + ], + [ + 57506122, + 28010938 + ], + [ + 50110115, + 75355023 + ], + [ + 54869182, + 18702517 + ], + [ + 58573363, + 80554211 + ], + [ + 10031799, + 76159707 + ], + [ + 14114633, + 22711436 + ], + [ + 12995584, + 47076595 + ], + [ + 76123553, + 58875210 + ], + [ + 92790010, + 13804683 + ], + [ + 64567049, + 12248389 + ], + [ + 83286920, + 3631577 + ], + [ + 24089351, + 90441406 + ], + [ + 42467355, + 33432122 + ], + [ + 79167663, + 33685677 + ], + [ + 71582671, + 17105585 + ], + [ + 18045056, + 22044281 + ], + [ + 98874452, + 33550958 + ], + [ + 91018636, + 8473309 + ], + [ + 62159162, + 9351906 + ], + [ + 9715890, + 77264888 + ], + [ + 51714691, + 82670255 + ], + [ + 19817826, + 28247355 + ], + [ + 61981190, + 60182864 + ], + [ + 46222497, + 3187872 + ], + [ + 81877628, + 74182342 + ], + [ + 58211927, + 72818005 + ], + [ + 23182015, + 53520264 + ], + [ + 35353098, + 86501378 + ], + [ + 76922818, + 69146610 + ], + [ + 90876067, + 15868878 + ], + [ + 38251727, + 81940292 + ], + [ + 76509848, + 96964307 + ], + [ + 50650384, + 58705582 + ], + [ + 69337435, + 45448441 + ], + [ + 68245328, + 74243147 + ], + [ + 38287521, + 75859748 + ], + [ + 89105181, + 58911428 + ], + [ + 82670790, + 39654052 + ], + [ + 48798824, + 86106137 + ], + [ + 41177851, + 71227298 + ], + [ + 11788108, + 84373066 + ], + [ + 75710681, + 55583652 + ], + [ + 99103955, + 69610148 + ], + [ + 38596199, + 73247828 + ], + [ + 3797991, + 64622832 + ], + [ + 69131818, + 90245522 + ], + [ + 40445200, + 21661875 + ], + [ + 67913762, + 69000022 + ], + [ + 10723902, + 75554541 + ], + [ + 3043802, + 97556603 + ], + [ + 98907683, + 89893634 + ], + [ + 83513889, + 1640404 + ], + [ + 22314371, + 2760346 + ], + [ + 93963466, + 48056650 + ], + [ + 37510273, + 64308409 + ], + [ + 17793927, + 90504313 + ], + [ + 24290318, + 47397371 + ], + [ + 81858198, + 81602745 + ], + [ + 46871993, + 88530219 + ], + [ + 93186080, + 99884595 + ], + [ + 31937957, + 10636449 + ], + [ + 88434264, + 77390289 + ], + [ + 99684995, + 33317918 + ], + [ + 84606601, + 54284443 + ], + [ + 34486747, + 72229755 + ], + [ + 21807374, + 47273918 + ], + [ + 17883419, + 31180049 + ], + [ + 45883097, + 78530125 + ], + [ + 1974874, + 58740878 + ], + [ + 65999662, + 62232830 + ], + [ + 21026896, + 44430783 + ], + [ + 5168199, + 90649186 + ], + [ + 43379761, + 46182918 + ], + [ + 26587697, + 6846881 + ], + [ + 9196809, + 95786941 + ], + [ + 68244888, + 83436142 + ], + [ + 63382036, + 5578084 + ], + [ + 82882227, + 4474570 + ], + [ + 61553589, + 97892726 + ], + [ + 84044958, + 49446558 + ], + [ + 49745943, + 35015885 + ], + [ + 70099767, + 71531775 + ], + [ + 94909091, + 21149118 + ], + [ + 82135187, + 77427696 + ], + [ + 11394231, + 81976928 + ], + [ + 18876563, + 76316986 + ], + [ + 25735691, + 37848189 + ], + [ + 87561689, + 81380887 + ], + [ + 12524873, + 12509648 + ], + [ + 13696947, + 54577151 + ], + [ + 65546389, + 19835046 + ], + [ + 68973729, + 24810297 + ], + [ + 49362693, + 68883590 + ], + [ + 44157039, + 35596394 + ], + [ + 56781096, + 45910737 + ], + [ + 5061704, + 18967513 + ], + [ + 99050529, + 11318870 + ], + [ + 57065598, + 67056564 + ], + [ + 42769217, + 35498878 + ], + [ + 83325519, + 86386338 + ], + [ + 32100545, + 67354567 + ], + [ + 24967875, + 3480603 + ], + [ + 66015662, + 30192570 + ], + [ + 79541840, + 73227819 + ], + [ + 76103524, + 81551164 + ], + [ + 31605144, + 40627440 + ], + [ + 39582743, + 25400410 + ], + [ + 47504914, + 77841898 + ], + [ + 56387402, + 10073000 + ], + [ + 27594567, + 96970803 + ], + [ + 62549845, + 8592080 + ], + [ + 74983047, + 51989349 + ], + [ + 10157298, + 10945735 + ], + [ + 72960488, + 54497256 + ], + [ + 13101026, + 60360841 + ], + [ + 30241185, + 73908192 + ], + [ + 31484908, + 28204939 + ], + [ + 4498543, + 79343728 + ], + [ + 32359584, + 5849654 + ], + [ + 15427829, + 57492811 + ], + [ + 86449603, + 67443645 + ], + [ + 29094143, + 17461775 + ], + [ + 52225083, + 51318692 + ], + [ + 96043336, + 33961815 + ], + [ + 84835463, + 96913330 + ], + [ + 61149033, + 92720143 + ], + [ + 92199869, + 69452638 + ], + [ + 2987008, + 41542081 + ], + [ + 16754175, + 98964979 + ], + [ + 55349522, + 79623468 + ], + [ + 64318270, + 33440317 + ], + [ + 24037281, + 34791870 + ], + [ + 59386540, + 12602412 + ], + [ + 91485809, + 6080893 + ], + [ + 3630171, + 55973296 + ], + [ + 90266019, + 34279032 + ], + [ + 83862071, + 44411684 + ], + [ + 78485850, + 60080223 + ], + [ + 61651036, + 89474387 + ], + [ + 88687590, + 10113420 + ], + [ + 2460946, + 25035354 + ], + [ + 39654908, + 70139665 + ], + [ + 25254605, + 42243778 + ], + [ + 86360643, + 13609759 + ], + [ + 27387426, + 76899887 + ], + [ + 40173445, + 96393848 + ], + [ + 33550419, + 99048667 + ], + [ + 77111331, + 30543883 + ], + [ + 43887702, + 74632621 + ], + [ + 84081135, + 97584160 + ], + [ + 83643359, + 26834144 + ], + [ + 9861423, + 99894602 + ], + [ + 96501195, + 19196987 + ], + [ + 79373359, + 7315426 + ], + [ + 53939289, + 19425296 + ], + [ + 61319685, + 49946445 + ], + [ + 58988403, + 84807549 + ], + [ + 70748128, + 59261494 + ], + [ + 19315305, + 15242571 + ], + [ + 76157174, + 19945783 + ], + [ + 44670322, + 75890430 + ], + [ + 41220359, + 22692926 + ], + [ + 5851318, + 42195961 + ], + [ + 47044976, + 41240715 + ], + [ + 54218642, + 38720458 + ], + [ + 42491891, + 53281420 + ], + [ + 22532518, + 1934119 + ], + [ + 18783628, + 57741102 + ], + [ + 69902800, + 86548853 + ], + [ + 23472643, + 1048054 + ], + [ + 4788306, + 36731387 + ], + [ + 7061124, + 85354972 + ], + [ + 75131062, + 13447153 + ], + [ + 89328050, + 19601063 + ], + [ + 18672004, + 97662456 + ], + [ + 31119490, + 53965084 + ], + [ + 69894308, + 4883167 + ], + [ + 4574294, + 45341597 + ], + [ + 5413539, + 25971618 + ], + [ + 58663855, + 84716279 + ], + [ + 94264599, + 93669915 + ], + [ + 60093623, + 40124941 + ], + [ + 36013911, + 90613590 + ], + [ + 85201223, + 99537885 + ], + [ + 76742165, + 9684054 + ], + [ + 37562068, + 62029062 + ], + [ + 74300772, + 73598275 + ], + [ + 93071898, + 29775132 + ], + [ + 96506762, + 62779108 + ], + [ + 39898678, + 20086570 + ], + [ + 79162650, + 38547607 + ], + [ + 32544506, + 24958333 + ], + [ + 70150571, + 75213846 + ], + [ + 92294859, + 60291601 + ], + [ + 84111009, + 9244957 + ], + [ + 23708627, + 26474523 + ], + [ + 9577632, + 53742700 + ], + [ + 13738675, + 66477971 + ], + [ + 91780192, + 81862992 + ], + [ + 91093809, + 2369115 + ], + [ + 16726339, + 47527921 + ], + [ + 38487191, + 84244044 + ], + [ + 38075030, + 19703637 + ], + [ + 69788315, + 89756048 + ], + [ + 73990447, + 28858522 + ], + [ + 15281707, + 23354886 + ], + [ + 58268637, + 76956218 + ], + [ + 38946623, + 7464982 + ], + [ + 17877411, + 3976705 + ], + [ + 3197170, + 77668037 + ], + [ + 17290554, + 10097779 + ], + [ + 85753867, + 56537438 + ], + [ + 60239686, + 35684709 + ], + [ + 15753776, + 47031028 + ], + [ + 83533290, + 43783580 + ], + [ + 51465624, + 69385072 + ], + [ + 74722875, + 16039990 + ], + [ + 88708938, + 89790173 + ], + [ + 50080237, + 19766403 + ], + [ + 2452833, + 66866101 + ], + [ + 13239626, + 54192844 + ], + [ + 93823653, + 55719321 + ], + [ + 66728053, + 5045964 + ], + [ + 60090164, + 39887657 + ], + [ + 54749615, + 60864926 + ], + [ + 79213579, + 94394384 + ], + [ + 74454782, + 30816338 + ], + [ + 11115196, + 23328002 + ], + [ + 78304863, + 62427411 + ], + [ + 11867126, + 41616215 + ], + [ + 38425824, + 67893093 + ], + [ + 39885756, + 65539619 + ], + [ + 33087293, + 9944431 + ], + [ + 39043207, + 98055067 + ], + [ + 69825760, + 52899699 + ], + [ + 4357079, + 85627233 + ], + [ + 96470216, + 63964266 + ], + [ + 29181086, + 47536242 + ], + [ + 93954465, + 99172308 + ], + [ + 38726358, + 28062743 + ], + [ + 73599990, + 21283455 + ], + [ + 22862585, + 59643139 + ], + [ + 96565763, + 65180760 + ], + [ + 22435419, + 90261201 + ], + [ + 68543565, + 37145722 + ], + [ + 96013400, + 41446992 + ], + [ + 92935194, + 21336163 + ], + [ + 87763412, + 72231286 + ], + [ + 48824690, + 23596128 + ], + [ + 38049148, + 44400751 + ], + [ + 15879904, + 63951128 + ], + [ + 44081339, + 78567501 + ], + [ + 40752460, + 90799501 + ], + [ + 75865778, + 29316809 + ], + [ + 68488597, + 95888434 + ], + [ + 4796822, + 84046259 + ], + [ + 29544560, + 78705798 + ], + [ + 65028540, + 74212470 + ], + [ + 58919526, + 57281407 + ], + [ + 89114953, + 24601985 + ], + [ + 63364947, + 6192759 + ], + [ + 78674205, + 70700230 + ], + [ + 39273714, + 37681703 + ], + [ + 28022218, + 79946540 + ], + [ + 10164799, + 41776632 + ], + [ + 38659806, + 98454210 + ], + [ + 91644449, + 64116988 + ], + [ + 77538206, + 15770791 + ], + [ + 74871976, + 10841718 + ], + [ + 54372341, + 85230596 + ], + [ + 89456589, + 96213933 + ], + [ + 65091497, + 4633126 + ], + [ + 18262253, + 37318335 + ], + [ + 83130185, + 47123853 + ], + [ + 32330301, + 53452053 + ], + [ + 73051112, + 68965512 + ], + [ + 59432919, + 52496133 + ], + [ + 66422838, + 44820852 + ], + [ + 95189046, + 27421369 + ], + [ + 25584741, + 5452732 + ], + [ + 49281925, + 38606659 + ], + [ + 34446635, + 7816183 + ], + [ + 99382811, + 89397814 + ], + [ + 46950226, + 3437906 + ], + [ + 61969833, + 20874605 + ], + [ + 35557848, + 64720782 + ], + [ + 12594407, + 75446431 + ], + [ + 10756509, + 83063235 + ], + [ + 27729283, + 88400929 + ], + [ + 92427740, + 21921205 + ], + [ + 81701307, + 98543178 + ], + [ + 95778263, + 35124875 + ], + [ + 74426629, + 21039938 + ], + [ + 40488358, + 36248213 + ], + [ + 41138935, + 95011838 + ], + [ + 3169293, + 96000611 + ], + [ + 48337260, + 83555759 + ], + [ + 54411556, + 85218464 + ], + [ + 45906674, + 40646396 + ], + [ + 52826935, + 59599007 + ], + [ + 60185877, + 82417840 + ], + [ + 2262611, + 51033551 + ], + [ + 96582505, + 53616167 + ], + [ + 8744094, + 10347607 + ], + [ + 46159847, + 65522412 + ], + [ + 17297058, + 93212466 + ], + [ + 18125249, + 17653898 + ], + [ + 92390673, + 29552007 + ], + [ + 56148314, + 70492690 + ], + [ + 15258714, + 41296913 + ], + [ + 86381537, + 4199259 + ], + [ + 29663672, + 84390598 + ], + [ + 76735022, + 28221380 + ], + [ + 45467744, + 55521411 + ], + [ + 77015884, + 92004740 + ], + [ + 37764601, + 92578534 + ], + [ + 62393853, + 23140705 + ], + [ + 57197036, + 33281438 + ], + [ + 72483994, + 62886858 + ], + [ + 83955130, + 51437066 + ], + [ + 48319673, + 53498148 + ], + [ + 22305070, + 65722036 + ], + [ + 9719376, + 23062272 + ], + [ + 37522210, + 43615679 + ], + [ + 71663643, + 33765534 + ], + [ + 37691640, + 26174907 + ], + [ + 21467070, + 45364254 + ], + [ + 65075105, + 38460671 + ], + [ + 11722137, + 14126198 + ], + [ + 39983166, + 34446281 + ], + [ + 25907210, + 34712099 + ], + [ + 7755262, + 5200477 + ], + [ + 74125801, + 53738469 + ], + [ + 55958364, + 93963214 + ], + [ + 83527602, + 4641584 + ], + [ + 63118054, + 40160662 + ], + [ + 19859425, + 20320849 + ], + [ + 18782670, + 56103946 + ], + [ + 81221701, + 66318556 + ], + [ + 2753713, + 4124933 + ], + [ + 82291115, + 21496161 + ], + [ + 51028386, + 48806718 + ], + [ + 16367830, + 57539856 + ], + [ + 99766900, + 60868676 + ], + [ + 5040094, + 66597715 + ], + [ + 9725356, + 16515972 + ], + [ + 30915592, + 37157883 + ], + [ + 93810538, + 36002913 + ], + [ + 56169357, + 50946160 + ], + [ + 7007819, + 31494882 + ], + [ + 37687145, + 36287823 + ], + [ + 52091243, + 97726934 + ], + [ + 72447065, + 24207915 + ], + [ + 14102962, + 33789067 + ], + [ + 57297735, + 47149236 + ], + [ + 10149975, + 42907677 + ], + [ + 62523189, + 3122497 + ], + [ + 19729232, + 51013918 + ], + [ + 26738164, + 13522511 + ], + [ + 99092219, + 22962095 + ], + [ + 64255224, + 44203047 + ], + [ + 5452064, + 89639163 + ], + [ + 91706570, + 84434449 + ], + [ + 16091773, + 84081455 + ], + [ + 6146224, + 71444301 + ], + [ + 12142539, + 19478676 + ], + [ + 59173604, + 32122744 + ], + [ + 5149659, + 94043665 + ], + [ + 28090045, + 44375403 + ], + [ + 92366821, + 44109176 + ], + [ + 32031708, + 94482938 + ], + [ + 14939122, + 40476053 + ], + [ + 78563072, + 54341689 + ], + [ + 71820119, + 44177286 + ], + [ + 53761422, + 85853238 + ], + [ + 23935012, + 57210246 + ], + [ + 54827117, + 99033807 + ], + [ + 67446650, + 96048847 + ], + [ + 14637901, + 44192990 + ], + [ + 7651743, + 60365843 + ], + [ + 59961613, + 23283404 + ], + [ + 85757321, + 33570042 + ], + [ + 63586440, + 34936553 + ], + [ + 92016440, + 57176377 + ], + [ + 44614393, + 20184278 + ], + [ + 96681878, + 83360381 + ], + [ + 44102910, + 3948571 + ], + [ + 83929657, + 9302135 + ], + [ + 72900141, + 31275616 + ], + [ + 27025285, + 4238907 + ], + [ + 71094898, + 79244222 + ], + [ + 47149792, + 61848609 + ], + [ + 98036308, + 64830107 + ], + [ + 5896369, + 20715435 + ], + [ + 31925366, + 31277232 + ], + [ + 56953430, + 56897047 + ], + [ + 25391598, + 81223046 + ], + [ + 95045795, + 76958861 + ], + [ + 39839164, + 59882373 + ], + [ + 9549518, + 1448038 + ], + [ + 36156186, + 82723918 + ], + [ + 39530530, + 26484987 + ], + [ + 61295619, + 36131276 + ], + [ + 75394368, + 24155958 + ], + [ + 41966897, + 96491122 + ], + [ + 86725596, + 57947414 + ], + [ + 73106868, + 51650602 + ], + [ + 8268645, + 3380936 + ], + [ + 75701745, + 82736989 + ], + [ + 29538497, + 14197445 + ], + [ + 32020860, + 46326157 + ], + [ + 68493957, + 55199970 + ], + [ + 85790414, + 7568593 + ], + [ + 99921605, + 43212478 + ], + [ + 29383857, + 79337561 + ], + [ + 70339941, + 38995387 + ], + [ + 42985285, + 73650651 + ], + [ + 94253371, + 51525791 + ], + [ + 22698090, + 15327336 + ], + [ + 85178477, + 80992501 + ], + [ + 15981204, + 26953231 + ], + [ + 29331118, + 97530078 + ], + [ + 9074129, + 94996401 + ], + [ + 12190425, + 75654310 + ], + [ + 78205660, + 24339749 + ], + [ + 35548698, + 30492965 + ], + [ + 13750576, + 60623355 + ], + [ + 37609748, + 82814299 + ], + [ + 97588951, + 69020987 + ], + [ + 59125509, + 35225418 + ], + [ + 40490809, + 93969534 + ], + [ + 4637874, + 72212182 + ], + [ + 93979863, + 38573876 + ], + [ + 45493515, + 37635864 + ], + [ + 22241198, + 35204090 + ], + [ + 25069180, + 40194432 + ], + [ + 87710047, + 30776129 + ], + [ + 82320569, + 66155590 + ], + [ + 46505736, + 99582756 + ], + [ + 24351503, + 30679102 + ], + [ + 95972944, + 13184348 + ], + [ + 70576496, + 7946698 + ], + [ + 34581135, + 98459871 + ], + [ + 46033272, + 81333925 + ], + [ + 16375804, + 99380267 + ], + [ + 4886207, + 89433521 + ], + [ + 5690656, + 34055206 + ], + [ + 31432524, + 54110894 + ], + [ + 75672578, + 13284697 + ], + [ + 41768372, + 89659052 + ], + [ + 16131603, + 4399325 + ], + [ + 37352198, + 39443929 + ], + [ + 28814631, + 45387756 + ], + [ + 19456123, + 23695220 + ], + [ + 27567363, + 24432245 + ], + [ + 40703871, + 988640 + ], + [ + 99528985, + 77866804 + ], + [ + 25727988, + 25943456 + ], + [ + 29285471, + 87097653 + ], + [ + 16040677, + 97647433 + ], + [ + 5724552, + 20112951 + ], + [ + 22280938, + 98276751 + ], + [ + 30594084, + 84219948 + ], + [ + 54012058, + 72202592 + ], + [ + 3867044, + 9621857 + ], + [ + 74838780, + 81208070 + ], + [ + 576595, + 55937137 + ], + [ + 30214296, + 54330974 + ], + [ + 62305383, + 13601045 + ], + [ + 19915450, + 72301903 + ], + [ + 96450309, + 28328549 + ], + [ + 97183944, + 70017152 + ], + [ + 74920732, + 37730990 + ], + [ + 89281900, + 57362953 + ], + [ + 1295709, + 4915162 + ], + [ + 88795814, + 17538840 + ], + [ + 31495846, + 29414156 + ], + [ + 4100779, + 27659074 + ], + [ + 91488541, + 1349637 + ], + [ + 76179568, + 53785965 + ], + [ + 15982739, + 93851031 + ], + [ + 84280427, + 66046022 + ], + [ + 13875463, + 92846063 + ], + [ + 58769240, + 59656047 + ], + [ + 98798821, + 26216175 + ], + [ + 25102628, + 28735107 + ], + [ + 49841201, + 94398053 + ], + [ + 44070847, + 51594845 + ], + [ + 25180292, + 95581615 + ], + [ + 79284423, + 53621615 + ], + [ + 58404614, + 8769700 + ], + [ + 96959481, + 30284502 + ], + [ + 46226380, + 93274493 + ], + [ + 87699585, + 36034865 + ], + [ + 24720837, + 3851567 + ], + [ + 88246110, + 71153867 + ], + [ + 41833675, + 7765711 + ], + [ + 59641147, + 54946511 + ], + [ + 58622037, + 86371744 + ], + [ + 83092540, + 77326243 + ], + [ + 95880338, + 77326890 + ], + [ + 52581953, + 16984179 + ], + [ + 10749396, + 84006930 + ], + [ + 25141273, + 13467115 + ], + [ + 15240973, + 44606133 + ], + [ + 46185416, + 40807899 + ], + [ + 55548866, + 70075863 + ], + [ + 60876719, + 17951101 + ], + [ + 70398450, + 94639022 + ], + [ + 19715811, + 63921103 + ], + [ + 13522791, + 63511614 + ], + [ + 74863048, + 6356714 + ], + [ + 96890986, + 51876399 + ], + [ + 12542527, + 59976435 + ], + [ + 34069097, + 72225823 + ], + [ + 73961077, + 42510006 + ], + [ + 583194, + 39976438 + ], + [ + 80829582, + 39311626 + ], + [ + 66287989, + 65490934 + ], + [ + 5696288, + 3855327 + ], + [ + 70369037, + 21727403 + ], + [ + 64152601, + 38447985 + ], + [ + 99499571, + 16678790 + ], + [ + 39044011, + 37356578 + ], + [ + 13958696, + 1638212 + ], + [ + 3789404, + 27717931 + ], + [ + 89686736, + 68894710 + ], + [ + 10020102, + 12362371 + ], + [ + 21158041, + 68132520 + ], + [ + 17767434, + 59449383 + ], + [ + 56835342, + 72861764 + ], + [ + 40164692, + 53569896 + ], + [ + 56215391, + 13064900 + ], + [ + 76867746, + 83333652 + ], + [ + 48027363, + 95259606 + ], + [ + 24554495, + 21158553 + ], + [ + 10196511, + 51881676 + ], + [ + 55167206, + 46538447 + ], + [ + 27361651, + 48938242 + ], + [ + 10014697, + 78868207 + ], + [ + 74803641, + 62435741 + ], + [ + 79565095, + 72690844 + ], + [ + 21349746, + 71971020 + ], + [ + 71892185, + 35727659 + ], + [ + 29612730, + 99312096 + ], + [ + 95334171, + 31393638 + ], + [ + 10333353, + 49955775 + ], + [ + 46794966, + 26816265 + ], + [ + 25417642, + 56139333 + ], + [ + 35454388, + 22262984 + ], + [ + 99094608, + 63309872 + ], + [ + 77486359, + 12526484 + ], + [ + 12132367, + 20995291 + ], + [ + 35295359, + 19814863 + ], + [ + 99525351, + 92649639 + ], + [ + 10290749, + 59315912 + ], + [ + 58096198, + 98059212 + ], + [ + 36687639, + 32667122 + ], + [ + 22720684, + 7869165 + ], + [ + 62771599, + 18052383 + ], + [ + 84939958, + 49981062 + ], + [ + 23641349, + 24555851 + ], + [ + 78475302, + 27868531 + ], + [ + 97584940, + 20932935 + ], + [ + 26166323, + 26631707 + ], + [ + 95902213, + 20931691 + ], + [ + 37898945, + 96985981 + ], + [ + 4054103, + 32277088 + ], + [ + 81132144, + 33424447 + ], + [ + 88950128, + 16826919 + ], + [ + 34191221, + 75036942 + ], + [ + 23877775, + 91998834 + ], + [ + 11955818, + 14773489 + ], + [ + 23664992, + 75572499 + ], + [ + 76958839, + 94151755 + ], + [ + 35186518, + 49781836 + ], + [ + 17903083, + 1629714 + ], + [ + 33064980, + 79071836 + ], + [ + 76846559, + 36308046 + ], + [ + 26513308, + 37933658 + ], + [ + 62269861, + 95962490 + ], + [ + 53869735, + 54601758 + ], + [ + 39737300, + 22645933 + ], + [ + 85420938, + 61265409 + ], + [ + 24564270, + 2261813 + ], + [ + 10106885, + 42926094 + ], + [ + 59721032, + 91342185 + ], + [ + 89267102, + 62511520 + ], + [ + 24282349, + 37840962 + ], + [ + 54894538, + 67578868 + ], + [ + 56842957, + 40769363 + ], + [ + 19067788, + 4699278 + ], + [ + 5480293, + 10632951 + ], + [ + 46778195, + 79324600 + ], + [ + 78759648, + 7971069 + ], + [ + 7587903, + 68894898 + ], + [ + 63550629, + 19138696 + ], + [ + 79694802, + 9324081 + ], + [ + 28109437, + 88164276 + ], + [ + 32883369, + 91326134 + ], + [ + 77397654, + 83565819 + ], + [ + 48748870, + 46618009 + ], + [ + 48412698, + 29406780 + ], + [ + 6897965, + 22225955 + ], + [ + 89170200, + 82360756 + ], + [ + 64740386, + 35147937 + ], + [ + 20985495, + 32809836 + ], + [ + 79126922, + 61240396 + ], + [ + 49197066, + 13629473 + ], + [ + 32422101, + 47967039 + ], + [ + 13970623, + 62380452 + ], + [ + 85668221, + 76979686 + ], + [ + 66671052, + 99494345 + ], + [ + 32464108, + 31148873 + ], + [ + 29252498, + 2607504 + ], + [ + 18278952, + 22545434 + ], + [ + 58056429, + 19151022 + ], + [ + 25352864, + 2992116 + ], + [ + 49740675, + 4315514 + ], + [ + 73299739, + 58077527 + ], + [ + 62586132, + 27864976 + ], + [ + 89413125, + 19956630 + ], + [ + 50521134, + 63691273 + ], + [ + 93401103, + 97755709 + ], + [ + 54727759, + 16375966 + ], + [ + 91760580, + 13399885 + ], + [ + 96707224, + 41425028 + ], + [ + 30049324, + 21112004 + ], + [ + 74097910, + 15220059 + ], + [ + 42402112, + 36731885 + ], + [ + 95565643, + 50558345 + ], + [ + 23193346, + 10156221 + ], + [ + 43022288, + 31330533 + ], + [ + 68790022, + 72965690 + ], + [ + 67937543, + 59150524 + ], + [ + 94895431, + 11663353 + ], + [ + 44024834, + 4289652 + ], + [ + 35169053, + 30159294 + ], + [ + 59586112, + 95742343 + ], + [ + 88611494, + 14967383 + ], + [ + 59170420, + 69418796 + ], + [ + 20806122, + 2405885 + ], + [ + 26717006, + 22799589 + ], + [ + 16812284, + 6519447 + ], + [ + 34424352, + 94696070 + ], + [ + 28421043, + 55102497 + ], + [ + 24140061, + 4534555 + ], + [ + 58353289, + 19334856 + ], + [ + 91567133, + 14729943 + ], + [ + 1862220, + 47476178 + ], + [ + 5975758, + 71670930 + ], + [ + 62884768, + 69186507 + ], + [ + 97214555, + 68130002 + ], + [ + 36804429, + 4992804 + ], + [ + 51388515, + 5417617 + ], + [ + 88822368, + 7040010 + ], + [ + 85220791, + 12930276 + ], + [ + 94026617, + 6879930 + ], + [ + 95814812, + 66949424 + ], + [ + 80524497, + 5735888 + ], + [ + 89329471, + 60242763 + ], + [ + 98417763, + 98502973 + ], + [ + 41464428, + 64472549 + ], + [ + 1201106, + 66423678 + ], + [ + 45335668, + 74321707 + ], + [ + 30969099, + 22488278 + ], + [ + 85942918, + 71313460 + ], + [ + 12727392, + 99595189 + ], + [ + 50117563, + 49083441 + ], + [ + 96435691, + 98606550 + ], + [ + 63776160, + 29820347 + ], + [ + 24778388, + 42283102 + ], + [ + 99847546, + 28162729 + ], + [ + 13561056, + 17376608 + ], + [ + 11439342, + 6671543 + ], + [ + 89036838, + 15270778 + ], + [ + 12596701, + 89416862 + ], + [ + 53261628, + 18544746 + ], + [ + 70837132, + 15122810 + ], + [ + 70003798, + 67125910 + ], + [ + 94641106, + 73205815 + ], + [ + 15096272, + 92750892 + ], + [ + 37120866, + 51576194 + ], + [ + 9608276, + 69245066 + ], + [ + 32789321, + 90481986 + ], + [ + 26012738, + 77455919 + ], + [ + 47053989, + 58562360 + ], + [ + 92729621, + 42737878 + ], + [ + 26181614, + 24190254 + ], + [ + 47445126, + 1010460 + ], + [ + 40267840, + 26518862 + ], + [ + 12179176, + 42200774 + ], + [ + 82658027, + 50266549 + ], + [ + 12113808, + 42307088 + ], + [ + 81944412, + 64432993 + ], + [ + 94346189, + 65282535 + ], + [ + 70899310, + 17710425 + ], + [ + 58495320, + 43611140 + ], + [ + 69970478, + 95155858 + ], + [ + 15219921, + 25144027 + ], + [ + 69267096, + 56101141 + ], + [ + 70820312, + 40816320 + ], + [ + 7139309, + 37331379 + ], + [ + 70209750, + 76022273 + ], + [ + 98417074, + 43657598 + ], + [ + 21300136, + 64697057 + ], + [ + 91352420, + 50052783 + ], + [ + 65790666, + 83261475 + ], + [ + 40823618, + 90457769 + ], + [ + 52207777, + 67230655 + ], + [ + 70278953, + 81847450 + ], + [ + 7803644, + 24053621 + ], + [ + 915571, + 16555786 + ], + [ + 53224490, + 99917731 + ], + [ + 38998096, + 93030615 + ], + [ + 90433566, + 38045847 + ], + [ + 10487415, + 79060911 + ], + [ + 97034108, + 31120108 + ], + [ + 35592853, + 27117494 + ], + [ + 32459791, + 80424379 + ], + [ + 11181275, + 27109978 + ], + [ + 54540454, + 54688991 + ], + [ + 13038313, + 66541694 + ], + [ + 42704699, + 60385061 + ], + [ + 32027214, + 32818521 + ], + [ + 42737955, + 21391158 + ], + [ + 79769304, + 66197827 + ], + [ + 89115267, + 79718986 + ], + [ + 69273430, + 35683820 + ], + [ + 93433138, + 14967566 + ], + [ + 74282785, + 12724700 + ], + [ + 22312232, + 83076374 + ], + [ + 95670723, + 96380374 + ], + [ + 80769082, + 30675075 + ], + [ + 30708234, + 84888680 + ], + [ + 66682, + 12461964 + ], + [ + 40635614, + 26805456 + ], + [ + 15186182, + 51949991 + ], + [ + 85331103, + 24196184 + ], + [ + 9025874, + 593885 + ], + [ + 34121353, + 45265403 + ], + [ + 77409858, + 84301895 + ], + [ + 77181407, + 27127052 + ], + [ + 46699691, + 58276813 + ], + [ + 23696369, + 49518420 + ], + [ + 44993023, + 3082164 + ], + [ + 80854636, + 45490275 + ], + [ + 20279675, + 43276532 + ], + [ + 96779665, + 30897856 + ], + [ + 26343079, + 93712876 + ], + [ + 13803049, + 14278610 + ], + [ + 75845966, + 16721214 + ], + [ + 95441892, + 93240068 + ], + [ + 65677666, + 90714887 + ], + [ + 76918997, + 65190038 + ], + [ + 56642470, + 22144292 + ], + [ + 22032725, + 13467196 + ], + [ + 76085473, + 12671528 + ], + [ + 53609980, + 44531396 + ], + [ + 33178218, + 59494439 + ], + [ + 17945874, + 11333372 + ], + [ + 25971948, + 46146469 + ], + [ + 61258700, + 33687799 + ], + [ + 90525895, + 60567594 + ], + [ + 88242356, + 28954356 + ], + [ + 41351676, + 84160936 + ], + [ + 80184050, + 57546057 + ], + [ + 581639, + 14194543 + ], + [ + 56069623, + 77202345 + ], + [ + 67573537, + 3852937 + ], + [ + 21169716, + 4389753 + ], + [ + 86216369, + 67321692 + ], + [ + 13361687, + 62961030 + ], + [ + 50034720, + 5278728 + ], + [ + 21415431, + 98501124 + ], + [ + 9984097, + 19847326 + ], + [ + 54892475, + 14992496 + ], + [ + 49905578, + 99773194 + ], + [ + 44423812, + 42650128 + ], + [ + 67281833, + 44755941 + ], + [ + 24335849, + 35569281 + ], + [ + 10654185, + 30696219 + ], + [ + 54536774, + 50410217 + ], + [ + 45599606, + 69768660 + ], + [ + 14187314, + 93946232 + ], + [ + 63775369, + 30539064 + ], + [ + 27643971, + 57858776 + ], + [ + 27938804, + 46910542 + ], + [ + 28916366, + 32197638 + ], + [ + 8954361, + 80384320 + ], + [ + 49266740, + 35956757 + ], + [ + 87518380, + 51986133 + ], + [ + 94386698, + 7739802 + ], + [ + 96684769, + 94598365 + ], + [ + 10381522, + 86395712 + ], + [ + 57104134, + 39699698 + ], + [ + 89608957, + 55903838 + ], + [ + 93533632, + 59069649 + ], + [ + 48254397, + 38251198 + ], + [ + 95821518, + 86228952 + ], + [ + 16413300, + 11337575 + ], + [ + 81608254, + 18016366 + ], + [ + 18216612, + 21556936 + ], + [ + 38012726, + 98131853 + ], + [ + 19980144, + 49568964 + ], + [ + 40093196, + 25530352 + ], + [ + 6091651, + 88578116 + ], + [ + 31060674, + 81842441 + ], + [ + 91700851, + 74353749 + ], + [ + 55441245, + 61044800 + ], + [ + 57654054, + 56061730 + ], + [ + 23274486, + 64873438 + ], + [ + 9046695, + 64096277 + ], + [ + 42466401, + 97351637 + ], + [ + 70525648, + 21554745 + ], + [ + 21988455, + 40009291 + ], + [ + 90332523, + 97692778 + ], + [ + 38460661, + 79591779 + ], + [ + 25550948, + 76894427 + ], + [ + 14386234, + 84315762 + ], + [ + 10029672, + 38245711 + ], + [ + 19341723, + 40980213 + ], + [ + 60275452, + 67026068 + ], + [ + 36942226, + 56337256 + ], + [ + 38459790, + 1216900 + ], + [ + 30749438, + 49268708 + ], + [ + 54656278, + 90806442 + ], + [ + 60996269, + 34167020 + ], + [ + 62333676, + 97908642 + ], + [ + 62862911, + 39058201 + ], + [ + 75751901, + 42541548 + ], + [ + 23394748, + 32484286 + ], + [ + 70435937, + 34750787 + ], + [ + 67687431, + 6420957 + ], + [ + 11100568, + 99318859 + ], + [ + 44449907, + 75955263 + ], + [ + 19736624, + 39376319 + ], + [ + 97377612, + 50407449 + ], + [ + 95917238, + 31834374 + ], + [ + 29351860, + 25545642 + ], + [ + 66637798, + 57589884 + ], + [ + 47478053, + 15034610 + ], + [ + 6605369, + 41898147 + ], + [ + 98305965, + 68109812 + ], + [ + 85790940, + 37553284 + ], + [ + 93101444, + 45127470 + ], + [ + 68314836, + 80085715 + ], + [ + 11408894, + 54122680 + ], + [ + 71955244, + 43508680 + ], + [ + 2071155, + 65724721 + ], + [ + 82204421, + 90521394 + ], + [ + 44755806, + 10965565 + ], + [ + 86384093, + 72065861 + ], + [ + 14756142, + 95981780 + ], + [ + 86780141, + 91606611 + ], + [ + 14096476, + 44653116 + ], + [ + 2379396, + 86641944 + ], + [ + 5665225, + 64001811 + ], + [ + 61830594, + 37993993 + ], + [ + 99609659, + 69267935 + ], + [ + 70034857, + 61771273 + ], + [ + 13376615, + 39129429 + ], + [ + 74638256, + 93658009 + ], + [ + 67183386, + 96547110 + ], + [ + 64310963, + 49948899 + ], + [ + 77538784, + 73544258 + ], + [ + 27816203, + 92462523 + ], + [ + 17369786, + 10363430 + ], + [ + 85394673, + 86420628 + ], + [ + 8324199, + 60400056 + ], + [ + 78910860, + 88121492 + ], + [ + 70342602, + 38971489 + ], + [ + 45917222, + 86479483 + ], + [ + 77551396, + 74772972 + ], + [ + 99128288, + 51652298 + ], + [ + 46339799, + 5002116 + ], + [ + 39405453, + 71375568 + ], + [ + 90676880, + 70901111 + ], + [ + 13684246, + 52282798 + ], + [ + 49573594, + 13756069 + ], + [ + 17792374, + 22517267 + ], + [ + 2935570, + 5622351 + ], + [ + 25232544, + 8469774 + ], + [ + 47389429, + 45963484 + ], + [ + 83818659, + 34824276 + ], + [ + 60557755, + 23817137 + ], + [ + 10066076, + 98494116 + ], + [ + 49222632, + 54549603 + ], + [ + 70622309, + 74088250 + ], + [ + 73463505, + 30563264 + ], + [ + 258580, + 60655497 + ], + [ + 54172703, + 68849425 + ], + [ + 82695046, + 82161379 + ], + [ + 41349628, + 14468269 + ], + [ + 59194126, + 28103466 + ], + [ + 110596, + 94399952 + ], + [ + 32327904, + 38051532 + ], + [ + 23573446, + 6707726 + ], + [ + 54520314, + 23876627 + ], + [ + 41616031, + 43889411 + ], + [ + 50209607, + 50085129 + ], + [ + 17235604, + 70964773 + ], + [ + 66185022, + 57369245 + ], + [ + 59166988, + 75180696 + ], + [ + 78029538, + 3764830 + ], + [ + 57342002, + 97643554 + ], + [ + 39266364, + 71674579 + ], + [ + 88175575, + 15288637 + ], + [ + 33238406, + 5155852 + ], + [ + 67386630, + 96954672 + ], + [ + 61661129, + 60075143 + ], + [ + 4979231, + 48317656 + ], + [ + 42514863, + 21977706 + ], + [ + 52354701, + 70324140 + ], + [ + 20169441, + 74846370 + ], + [ + 67360960, + 21311443 + ], + [ + 26240617, + 69634914 + ], + [ + 12027289, + 32581567 + ], + [ + 74044251, + 131034 + ], + [ + 19866626, + 14432271 + ], + [ + 89271637, + 2438581 + ], + [ + 50107804, + 7007761 + ], + [ + 35647892, + 71565794 + ], + [ + 19547614, + 4166371 + ], + [ + 7583633, + 8214354 + ], + [ + 67449491, + 1549631 + ], + [ + 81998962, + 22861649 + ], + [ + 45886585, + 83646064 + ], + [ + 3219567, + 25433438 + ], + [ + 56948794, + 43510808 + ], + [ + 80163293, + 80540871 + ], + [ + 38118074, + 45470822 + ], + [ + 54529863, + 4680183 + ], + [ + 31919609, + 10953059 + ], + [ + 42516260, + 41200769 + ], + [ + 40743737, + 59630392 + ], + [ + 6630557, + 4713902 + ], + [ + 85806579, + 3014636 + ], + [ + 5678430, + 48270615 + ], + [ + 36742663, + 77083311 + ], + [ + 74700982, + 74128485 + ], + [ + 62229321, + 58352851 + ], + [ + 95019875, + 42853754 + ], + [ + 33414240, + 50976038 + ], + [ + 74175508, + 70480307 + ], + [ + 82109573, + 57356644 + ], + [ + 36607130, + 26295460 + ], + [ + 41063850, + 74466776 + ], + [ + 2776927, + 51087934 + ], + [ + 70764718, + 41616867 + ], + [ + 21503351, + 34089733 + ], + [ + 89545568, + 4517282 + ], + [ + 36789105, + 54479616 + ], + [ + 58784731, + 78644531 + ], + [ + 70736065, + 34332292 + ], + [ + 6336924, + 85967559 + ], + [ + 27038033, + 32338844 + ], + [ + 64565244, + 32349379 + ], + [ + 27267341, + 94988808 + ], + [ + 26302602, + 22748123 + ], + [ + 61462564, + 7418039 + ], + [ + 3170414, + 65636778 + ], + [ + 89574748, + 77001259 + ], + [ + 94109125, + 87828136 + ], + [ + 352558, + 44025035 + ], + [ + 56272173, + 29685407 + ], + [ + 39859441, + 72567900 + ], + [ + 57012909, + 22724988 + ], + [ + 99176364, + 72475016 + ], + [ + 96409487, + 6476264 + ], + [ + 74788668, + 80821639 + ], + [ + 12451658, + 9581030 + ], + [ + 14082220, + 47193476 + ], + [ + 36483559, + 65561911 + ], + [ + 35521885, + 3060873 + ], + [ + 66077742, + 80530078 + ], + [ + 26670332, + 19046118 + ], + [ + 58050307, + 12377266 + ], + [ + 719531, + 54401792 + ], + [ + 24218388, + 36382546 + ], + [ + 20435275, + 97689965 + ], + [ + 40097140, + 50539321 + ], + [ + 75599706, + 75010468 + ], + [ + 71767689, + 98533388 + ], + [ + 98517341, + 12719402 + ], + [ + 90872387, + 29526352 + ], + [ + 75252277, + 2930018 + ], + [ + 76154637, + 54762837 + ], + [ + 49972705, + 26572084 + ], + [ + 29016457, + 77602725 + ], + [ + 92362705, + 49324206 + ], + [ + 99649593, + 3953858 + ], + [ + 4297827, + 9267231 + ], + [ + 79901292, + 71198954 + ], + [ + 72287094, + 29752956 + ], + [ + 89520262, + 58558151 + ], + [ + 88386542, + 87937421 + ], + [ + 85626692, + 55171831 + ], + [ + 79857809, + 42012803 + ], + [ + 94959847, + 99016776 + ], + [ + 37727035, + 9863893 + ], + [ + 35720221, + 82293396 + ], + [ + 41861012, + 90352920 + ], + [ + 54441246, + 27295657 + ], + [ + 14308174, + 80874894 + ], + [ + 89447047, + 72811426 + ], + [ + 28717759, + 31544144 + ], + [ + 57420062, + 80148026 + ], + [ + 11036354, + 57412905 + ], + [ + 90628669, + 45086770 + ], + [ + 24496473, + 57332125 + ], + [ + 63333667, + 42627381 + ], + [ + 47560937, + 20398846 + ], + [ + 50838430, + 39206833 + ], + [ + 92448144, + 28813985 + ], + [ + 25649450, + 87530621 + ], + [ + 97816237, + 84240516 + ], + [ + 75054287, + 62766401 + ], + [ + 99032260, + 41000108 + ], + [ + 41028925, + 95427326 + ], + [ + 51137039, + 70472915 + ], + [ + 57014957, + 24028448 + ], + [ + 28843118, + 27921583 + ], + [ + 84046971, + 99615111 + ], + [ + 40506228, + 38298220 + ], + [ + 95228470, + 80196609 + ], + [ + 2556558, + 4069231 + ], + [ + 51769442, + 42494134 + ], + [ + 70547899, + 46071882 + ], + [ + 97529118, + 24759204 + ], + [ + 17739434, + 593199 + ], + [ + 70422293, + 12379386 + ], + [ + 23483342, + 75762874 + ], + [ + 93205968, + 64374216 + ], + [ + 59770372, + 80785570 + ], + [ + 5270589, + 59679487 + ], + [ + 14601409, + 95872397 + ], + [ + 52675514, + 42967654 + ], + [ + 76101047, + 63193055 + ], + [ + 2552209, + 48871974 + ], + [ + 5159235, + 37045027 + ], + [ + 80934428, + 7112381 + ], + [ + 18356426, + 11546319 + ], + [ + 26709875, + 86382479 + ], + [ + 94454533, + 44515007 + ], + [ + 26379029, + 14916730 + ], + [ + 85480297, + 68959869 + ], + [ + 4070399, + 38716377 + ], + [ + 42232614, + 23753712 + ], + [ + 52123156, + 7746164 + ], + [ + 22258273, + 73996797 + ], + [ + 81892519, + 94805302 + ], + [ + 2337860, + 78546446 + ], + [ + 57896828, + 22768801 + ], + [ + 98339930, + 12393543 + ], + [ + 15590757, + 23088262 + ], + [ + 33069324, + 80295477 + ], + [ + 95514589, + 9273286 + ], + [ + 85934103, + 32167721 + ], + [ + 66597620, + 40932708 + ], + [ + 68678952, + 11499061 + ], + [ + 62846366, + 99312716 + ], + [ + 34580536, + 32349808 + ], + [ + 82350322, + 43964253 + ], + [ + 14541780, + 61527615 + ], + [ + 47886603, + 10496397 + ], + [ + 679591, + 60450733 + ], + [ + 63313441, + 84575800 + ], + [ + 59764585, + 85617376 + ], + [ + 34561854, + 37138169 + ], + [ + 94371318, + 70006440 + ], + [ + 52520103, + 48571877 + ], + [ + 15276200, + 42356454 + ], + [ + 43318600, + 94138755 + ], + [ + 2605058, + 70435912 + ], + [ + 2456233, + 76990100 + ], + [ + 23061169, + 45158610 + ], + [ + 48324170, + 89514490 + ], + [ + 56438238, + 87535373 + ], + [ + 30384642, + 13200071 + ], + [ + 84935899, + 69798678 + ], + [ + 51640574, + 3819783 + ], + [ + 59474342, + 90824860 + ], + [ + 45990232, + 6028561 + ], + [ + 41404340, + 76906600 + ], + [ + 74572559, + 1675564 + ], + [ + 57928421, + 73650601 + ], + [ + 89721352, + 48595070 + ], + [ + 98757851, + 21397285 + ], + [ + 33194946, + 25329815 + ], + [ + 38290870, + 63562434 + ], + [ + 84012666, + 72508663 + ], + [ + 62253200, + 94930210 + ], + [ + 58804156, + 13335103 + ], + [ + 93951063, + 9432585 + ], + [ + 76761119, + 11817192 + ], + [ + 64183388, + 53324212 + ], + [ + 1616058, + 82655182 + ], + [ + 55730976, + 85899686 + ], + [ + 19600194, + 32022823 + ], + [ + 8734095, + 73429046 + ], + [ + 45688141, + 89757718 + ], + [ + 91582361, + 32575195 + ], + [ + 18768283, + 7309735 + ], + [ + 82416440, + 23510043 + ], + [ + 89238, + 86076548 + ], + [ + 39754125, + 48768109 + ], + [ + 57469274, + 82453979 + ], + [ + 80132300, + 26861679 + ], + [ + 24708904, + 87267078 + ], + [ + 54165258, + 32382698 + ], + [ + 59362103, + 8128321 + ], + [ + 74350820, + 56692738 + ], + [ + 36369082, + 38020918 + ], + [ + 61394400, + 50519728 + ], + [ + 90686750, + 62765470 + ], + [ + 54322652, + 67207609 + ], + [ + 18874152, + 91985811 + ], + [ + 41099975, + 61183790 + ], + [ + 83734906, + 68816148 + ], + [ + 66883498, + 6952612 + ], + [ + 8884957, + 18972901 + ], + [ + 15410096, + 2597854 + ], + [ + 53840904, + 26588973 + ], + [ + 82970090, + 2136657 + ], + [ + 96885168, + 79044228 + ], + [ + 31666704, + 55813514 + ], + [ + 49206221, + 37506273 + ], + [ + 78344986, + 76094329 + ], + [ + 28207138, + 94663807 + ], + [ + 9782222, + 11713424 + ], + [ + 71119527, + 15124143 + ], + [ + 79904016, + 36632126 + ], + [ + 44259563, + 72463598 + ], + [ + 3317729, + 79520541 + ], + [ + 84379448, + 35518775 + ], + [ + 66777988, + 82201096 + ], + [ + 36304837, + 16507551 + ], + [ + 36970191, + 85001857 + ], + [ + 49965898, + 36371373 + ], + [ + 4018926, + 6240643 + ], + [ + 28946620, + 53425682 + ], + [ + 14007159, + 1813164 + ], + [ + 5688343, + 96348695 + ], + [ + 29415807, + 8464645 + ], + [ + 71702701, + 17239973 + ], + [ + 73575956, + 40303757 + ], + [ + 81757595, + 92329933 + ], + [ + 76793448, + 82789777 + ], + [ + 32354765, + 51118822 + ], + [ + 36689246, + 36903746 + ], + [ + 18271822, + 30271389 + ], + [ + 95691233, + 88511752 + ], + [ + 54068749, + 79186529 + ], + [ + 67794810, + 23339233 + ], + [ + 86863188, + 76030091 + ], + [ + 3631132, + 7860151 + ], + [ + 19320268, + 63882689 + ], + [ + 5492146, + 66447350 + ], + [ + 32481066, + 68574480 + ], + [ + 43680186, + 65247059 + ], + [ + 96924858, + 54907630 + ], + [ + 13873360, + 76132583 + ], + [ + 89602159, + 29272488 + ], + [ + 13211091, + 14497157 + ], + [ + 86676058, + 64638879 + ], + [ + 35701467, + 40639403 + ], + [ + 13197620, + 76977492 + ], + [ + 56364928, + 83184344 + ], + [ + 20510246, + 62867299 + ], + [ + 75437123, + 25961278 + ], + [ + 12887715, + 10525008 + ], + [ + 27678463, + 57674917 + ], + [ + 58078504, + 17355202 + ], + [ + 55385404, + 50950295 + ], + [ + 12803383, + 37037315 + ], + [ + 31472005, + 4542409 + ], + [ + 57695744, + 10868724 + ], + [ + 10358688, + 88385416 + ], + [ + 37492464, + 15316061 + ], + [ + 92890241, + 71503872 + ], + [ + 36309231, + 67760441 + ], + [ + 32087841, + 29229162 + ], + [ + 95904972, + 51540969 + ], + [ + 10375297, + 27115928 + ], + [ + 42431507, + 69033038 + ], + [ + 26482583, + 32631190 + ], + [ + 47468846, + 51152733 + ], + [ + 42240390, + 60551683 + ], + [ + 72561589, + 11607026 + ], + [ + 58847517, + 60029368 + ], + [ + 17067418, + 7038480 + ], + [ + 99611261, + 34030184 + ], + [ + 81096538, + 83470467 + ], + [ + 54702309, + 75696977 + ], + [ + 37651473, + 81017492 + ], + [ + 74000298, + 24525618 + ], + [ + 83327323, + 20641636 + ], + [ + 48192435, + 8744896 + ], + [ + 89053867, + 35390646 + ], + [ + 38922301, + 52593211 + ], + [ + 96480845, + 30009029 + ], + [ + 84918001, + 10361958 + ], + [ + 76658195, + 21844395 + ], + [ + 35905632, + 87686551 + ], + [ + 87911341, + 80868793 + ], + [ + 31943716, + 88072590 + ], + [ + 27581723, + 24648761 + ], + [ + 32439823, + 72712349 + ], + [ + 18555600, + 41490647 + ], + [ + 90947294, + 30627855 + ], + [ + 18536989, + 86712405 + ], + [ + 48203105, + 8068734 + ], + [ + 88132695, + 36378470 + ], + [ + 77577100, + 81609265 + ], + [ + 8582393, + 44435040 + ], + [ + 78296909, + 48785637 + ], + [ + 6005941, + 51614880 + ], + [ + 60823708, + 36341727 + ], + [ + 82648815, + 69601261 + ], + [ + 42798222, + 57776842 + ], + [ + 54519027, + 84738541 + ], + [ + 45440475, + 64653806 + ], + [ + 39150618, + 86065182 + ], + [ + 50079074, + 86390437 + ], + [ + 57005084, + 77260434 + ], + [ + 36172076, + 72935712 + ], + [ + 33883937, + 25392969 + ], + [ + 20370957, + 7185338 + ], + [ + 34342072, + 84504678 + ], + [ + 26995073, + 95911436 + ], + [ + 60617301, + 11996737 + ], + [ + 34585848, + 85990807 + ], + [ + 57004034, + 15683944 + ], + [ + 22330927, + 22362878 + ], + [ + 89008818, + 93076540 + ], + [ + 97623037, + 57594981 + ], + [ + 39101682, + 9901728 + ], + [ + 81652955, + 81270843 + ], + [ + 14542090, + 53112996 + ], + [ + 77219956, + 45428881 + ], + [ + 47037292, + 53303856 + ], + [ + 71118238, + 38857440 + ], + [ + 92338033, + 4752990 + ], + [ + 81489652, + 11163772 + ], + [ + 21082933, + 48110252 + ], + [ + 24427848, + 52202324 + ], + [ + 80895061, + 48712468 + ], + [ + 71162078, + 84558521 + ], + [ + 16171097, + 79270689 + ], + [ + 14257393, + 65895963 + ], + [ + 27319977, + 72062131 + ], + [ + 16800709, + 21659295 + ], + [ + 39058138, + 61569734 + ], + [ + 54947379, + 88509679 + ], + [ + 11857411, + 99814365 + ], + [ + 85848885, + 13514590 + ], + [ + 36137628, + 63349788 + ], + [ + 73839963, + 76095732 + ], + [ + 54926067, + 55148049 + ], + [ + 68440969, + 23372593 + ], + [ + 26827087, + 39542864 + ], + [ + 25183460, + 40146888 + ], + [ + 12267902, + 4481871 + ], + [ + 8380601, + 59168825 + ], + [ + 9746454, + 79555430 + ], + [ + 9294295, + 20913517 + ], + [ + 59347229, + 83568217 + ], + [ + 93156217, + 14178226 + ], + [ + 54742217, + 38841260 + ], + [ + 42765707, + 9004263 + ], + [ + 33399760, + 1432227 + ], + [ + 86481948, + 65105049 + ], + [ + 18201948, + 48298604 + ], + [ + 41335458, + 55384002 + ], + [ + 30492258, + 58884231 + ], + [ + 28045116, + 17506965 + ], + [ + 82957888, + 47814968 + ], + [ + 69273467, + 28639815 + ], + [ + 48575706, + 3087582 + ], + [ + 37940272, + 55478205 + ], + [ + 587143, + 65533103 + ], + [ + 57884188, + 80825218 + ], + [ + 16797955, + 1359496 + ], + [ + 7725903, + 87377579 + ], + [ + 91728682, + 26293826 + ], + [ + 8427190, + 51168023 + ], + [ + 5663559, + 92729396 + ], + [ + 31094960, + 1925844 + ], + [ + 39260462, + 43025849 + ], + [ + 59266568, + 69339192 + ], + [ + 64517460, + 39143074 + ], + [ + 77086788, + 61443104 + ], + [ + 13041448, + 33735013 + ], + [ + 20763852, + 73748509 + ], + [ + 71777149, + 57506345 + ], + [ + 18953354, + 66216353 + ], + [ + 8827221, + 51904563 + ], + [ + 55234988, + 28365493 + ], + [ + 24994384, + 40444334 + ], + [ + 48672166, + 77576667 + ], + [ + 99301797, + 6429707 + ], + [ + 17592256, + 67920395 + ], + [ + 96384700, + 2546685 + ], + [ + 46701868, + 19901827 + ], + [ + 22655095, + 78889458 + ], + [ + 33951180, + 5845768 + ], + [ + 90931235, + 660013 + ], + [ + 2734902, + 40814001 + ], + [ + 79331785, + 99329066 + ], + [ + 63106329, + 37490115 + ], + [ + 47831134, + 50775943 + ], + [ + 66303854, + 7505700 + ], + [ + 86167734, + 4885168 + ], + [ + 19297734, + 56768908 + ], + [ + 61306104, + 20055683 + ], + [ + 39237575, + 6945152 + ], + [ + 46245982, + 60135082 + ], + [ + 50644461, + 87495184 + ], + [ + 73912653, + 41907605 + ], + [ + 83172591, + 41190904 + ], + [ + 74984472, + 19257546 + ], + [ + 95755877, + 50320334 + ], + [ + 46209882, + 4659839 + ], + [ + 78014049, + 66758063 + ], + [ + 18050344, + 55912499 + ], + [ + 78909024, + 69469220 + ], + [ + 1563274, + 20639568 + ], + [ + 72617081, + 46379813 + ], + [ + 52045814, + 13267117 + ], + [ + 59308967, + 57720695 + ], + [ + 72627727, + 46848976 + ], + [ + 11641773, + 23876119 + ], + [ + 8325887, + 8591816 + ], + [ + 35258140, + 11680120 + ], + [ + 62483360, + 89854041 + ], + [ + 19901274, + 6774804 + ], + [ + 1843616, + 70530030 + ], + [ + 47199393, + 73732471 + ], + [ + 30263263, + 16320838 + ], + [ + 481831, + 65735794 + ], + [ + 46667995, + 47188790 + ], + [ + 64885522, + 84851383 + ], + [ + 9130735, + 5679496 + ], + [ + 5393515, + 92305551 + ], + [ + 88884684, + 84755977 + ], + [ + 64078109, + 52970054 + ], + [ + 88562525, + 49618615 + ], + [ + 46498025, + 14038038 + ], + [ + 16819258, + 96651957 + ], + [ + 42267869, + 43178343 + ], + [ + 40701641, + 11124919 + ], + [ + 65408488, + 11207229 + ], + [ + 22131593, + 70566872 + ], + [ + 56836433, + 91288021 + ], + [ + 90354154, + 19503469 + ], + [ + 69169495, + 55138943 + ], + [ + 64510195, + 43940519 + ], + [ + 59943379, + 55814811 + ], + [ + 82628649, + 13965432 + ], + [ + 83888290, + 16357959 + ], + [ + 55107544, + 28616789 + ], + [ + 64551301, + 38799143 + ], + [ + 37290687, + 50259482 + ], + [ + 77253055, + 76323166 + ], + [ + 13949889, + 68556532 + ], + [ + 74162740, + 9892498 + ], + [ + 62906955, + 9734192 + ], + [ + 75701073, + 68400296 + ], + [ + 79819101, + 33253327 + ], + [ + 68028186, + 61875209 + ], + [ + 17092081, + 41970417 + ], + [ + 33265657, + 30563594 + ], + [ + 64197471, + 60229891 + ], + [ + 81840383, + 2816425 + ], + [ + 74260360, + 45696076 + ], + [ + 84648370, + 27166026 + ], + [ + 94543178, + 64741535 + ], + [ + 39342540, + 59363088 + ], + [ + 33144655, + 45028915 + ], + [ + 42073122, + 26651983 + ], + [ + 85465807, + 23656924 + ], + [ + 81751287, + 52437151 + ], + [ + 81347090, + 9011656 + ], + [ + 41921602, + 27888774 + ], + [ + 22357416, + 81924667 + ], + [ + 87048063, + 54535554 + ], + [ + 84937885, + 64800961 + ], + [ + 42240083, + 74417939 + ], + [ + 10851994, + 890208 + ], + [ + 20185750, + 9687424 + ], + [ + 47757617, + 19777848 + ], + [ + 73806512, + 25732346 + ], + [ + 34421649, + 33359286 + ], + [ + 17060510, + 54841908 + ], + [ + 2260516, + 26449429 + ], + [ + 98207298, + 21786393 + ], + [ + 58094481, + 54251058 + ], + [ + 74928493, + 616827 + ], + [ + 86093245, + 94753648 + ], + [ + 65456429, + 26270089 + ], + [ + 83494178, + 60700983 + ], + [ + 51201833, + 84482962 + ], + [ + 12584536, + 92465186 + ], + [ + 59447245, + 14578868 + ], + [ + 91138101, + 50437322 + ], + [ + 4982692, + 73474445 + ], + [ + 83677341, + 99069817 + ], + [ + 74213568, + 35110980 + ], + [ + 73522570, + 78675774 + ], + [ + 98805457, + 65799316 + ], + [ + 61160807, + 71381783 + ], + [ + 59852152, + 32427345 + ], + [ + 48392411, + 97961863 + ], + [ + 65164319, + 24022978 + ], + [ + 49683144, + 97849020 + ], + [ + 18826167, + 53123037 + ], + [ + 62071202, + 23679815 + ], + [ + 78937242, + 35237197 + ], + [ + 67576693, + 42340419 + ], + [ + 58594359, + 50022937 + ], + [ + 73376335, + 26318372 + ], + [ + 35645886, + 14325697 + ], + [ + 26940911, + 23020310 + ], + [ + 20287774, + 9729620 + ], + [ + 55209362, + 55080397 + ], + [ + 43440524, + 79380030 + ], + [ + 21519318, + 91492994 + ], + [ + 83183950, + 53743704 + ], + [ + 8243721, + 54053995 + ], + [ + 97464290, + 91751600 + ], + [ + 91490295, + 18183269 + ], + [ + 64589127, + 14467946 + ], + [ + 95256338, + 6813038 + ], + [ + 71501396, + 34689141 + ], + [ + 27439157, + 5529798 + ], + [ + 40438978, + 66582540 + ], + [ + 6068288, + 37109179 + ], + [ + 76101867, + 81713804 + ], + [ + 49052501, + 16830729 + ], + [ + 24229181, + 46183787 + ], + [ + 24085024, + 6911431 + ], + [ + 59559812, + 42835365 + ], + [ + 49101891, + 90606945 + ], + [ + 32232145, + 73995298 + ], + [ + 83298928, + 70656071 + ], + [ + 91071026, + 37435900 + ], + [ + 50648758, + 41591065 + ], + [ + 1100609, + 78648091 + ], + [ + 21067993, + 65233524 + ], + [ + 90881376, + 19011513 + ], + [ + 49142983, + 78183739 + ], + [ + 32137722, + 39187113 + ], + [ + 55097479, + 65174492 + ], + [ + 50711375, + 71396243 + ], + [ + 8368744, + 53113585 + ], + [ + 8983258, + 78684707 + ], + [ + 85203285, + 13607478 + ], + [ + 72832956, + 27068964 + ], + [ + 98809810, + 1732400 + ], + [ + 96647444, + 60376172 + ], + [ + 99708783, + 14995228 + ], + [ + 4669039, + 53682913 + ], + [ + 99693701, + 50965516 + ], + [ + 1242048, + 40846795 + ], + [ + 85980145, + 35064481 + ], + [ + 69264876, + 33718458 + ], + [ + 9406948, + 34366335 + ], + [ + 16705954, + 51564163 + ], + [ + 80578264, + 97566424 + ], + [ + 17450269, + 6659704 + ], + [ + 5313967, + 36141061 + ], + [ + 5188475, + 64354495 + ], + [ + 48311187, + 79153066 + ], + [ + 86922339, + 25837656 + ], + [ + 49365672, + 96351823 + ], + [ + 48193028, + 51644349 + ], + [ + 42017837, + 20097398 + ], + [ + 76569187, + 9129380 + ], + [ + 83634081, + 53855791 + ], + [ + 71998241, + 16764170 + ], + [ + 93857098, + 82462698 + ], + [ + 28290664, + 98722374 + ], + [ + 2462460, + 30891441 + ], + [ + 31081713, + 61387953 + ], + [ + 59238295, + 1542914 + ], + [ + 60362545, + 58401226 + ], + [ + 19892220, + 43506546 + ], + [ + 1290460, + 30170570 + ], + [ + 86539587, + 76699007 + ], + [ + 68861415, + 31148114 + ], + [ + 97464238, + 70413034 + ], + [ + 94540830, + 94594179 + ], + [ + 23906710, + 5877220 + ], + [ + 95298440, + 55511816 + ], + [ + 94185133, + 82638906 + ], + [ + 33294699, + 25748954 + ], + [ + 10067165, + 69477663 + ], + [ + 32502646, + 6049933 + ], + [ + 10914449, + 35917447 + ], + [ + 43209668, + 9929693 + ], + [ + 87270909, + 57409463 + ], + [ + 6862258, + 7554125 + ], + [ + 91835575, + 69732146 + ], + [ + 50397447, + 26703645 + ], + [ + 56356557, + 9329182 + ], + [ + 93247228, + 22197839 + ], + [ + 30142071, + 72806900 + ], + [ + 71800663, + 94157608 + ], + [ + 82512005, + 90174636 + ], + [ + 73542025, + 72566956 + ], + [ + 55504442, + 65524064 + ], + [ + 32692962, + 82838202 + ], + [ + 69368227, + 84564375 + ], + [ + 4736257, + 68705054 + ], + [ + 66356070, + 72218374 + ], + [ + 17510853, + 96300926 + ], + [ + 364494, + 22281521 + ], + [ + 87580756, + 33281515 + ], + [ + 34184742, + 97912421 + ], + [ + 80212322, + 70402664 + ], + [ + 97437722, + 44345330 + ], + [ + 35992514, + 19515835 + ], + [ + 6628217, + 17361142 + ], + [ + 21691403, + 79826071 + ], + [ + 15429274, + 39923351 + ], + [ + 723535, + 14519307 + ], + [ + 20266923, + 5759314 + ], + [ + 64372248, + 56700558 + ], + [ + 8462349, + 96915797 + ], + [ + 87948563, + 41584073 + ], + [ + 87522560, + 85769935 + ], + [ + 72221150, + 69896915 + ], + [ + 59123065, + 69800991 + ], + [ + 68445490, + 99100874 + ], + [ + 76038373, + 76693697 + ], + [ + 9861374, + 14093731 + ], + [ + 71964932, + 66597870 + ], + [ + 26099051, + 34206369 + ], + [ + 89282491, + 1641231 + ], + [ + 94720472, + 84608824 + ], + [ + 83699834, + 27518912 + ], + [ + 76084074, + 11664465 + ], + [ + 76627979, + 23196289 + ], + [ + 19654641, + 77116751 + ], + [ + 43945058, + 69984971 + ], + [ + 69091352, + 21124845 + ], + [ + 66842474, + 73368206 + ], + [ + 84315000, + 93288500 + ], + [ + 39207242, + 89055649 + ], + [ + 61558630, + 91071187 + ], + [ + 29448807, + 98615722 + ], + [ + 24391920, + 5571865 + ], + [ + 54446864, + 64939152 + ], + [ + 17584635, + 90848866 + ], + [ + 39697843, + 58892004 + ], + [ + 73308847, + 16963462 + ], + [ + 14523138, + 35150737 + ], + [ + 93851226, + 69441211 + ], + [ + 67362385, + 9008820 + ], + [ + 2584527, + 59391265 + ], + [ + 43015791, + 84734780 + ], + [ + 58615473, + 18565522 + ], + [ + 4707656, + 35287220 + ], + [ + 92621655, + 570253 + ], + [ + 18865490, + 47038897 + ], + [ + 67607859, + 15440772 + ], + [ + 3019921, + 50784485 + ], + [ + 67133497, + 64980913 + ], + [ + 31759088, + 93575181 + ], + [ + 20076106, + 83334857 + ], + [ + 73727815, + 93174845 + ], + [ + 84924118, + 57131141 + ], + [ + 38955552, + 92609676 + ], + [ + 85841599, + 56655640 + ], + [ + 35137042, + 92367841 + ], + [ + 41750120, + 79962675 + ], + [ + 28594411, + 4479527 + ], + [ + 20032601, + 76282050 + ], + [ + 3802653, + 2179830 + ], + [ + 60617440, + 41430803 + ], + [ + 45856334, + 26736748 + ], + [ + 64513761, + 76229783 + ], + [ + 45649947, + 88373253 + ], + [ + 1755658, + 35259178 + ], + [ + 79072203, + 90916580 + ], + [ + 17282776, + 15157907 + ], + [ + 89063419, + 19630239 + ], + [ + 27591569, + 55194365 + ], + [ + 94286260, + 65466613 + ], + [ + 88526025, + 43034542 + ], + [ + 24441915, + 97652500 + ], + [ + 61479742, + 78961650 + ], + [ + 76802383, + 93159630 + ], + [ + 41247856, + 63053049 + ], + [ + 90836279, + 52823485 + ], + [ + 7291252, + 5637180 + ], + [ + 83064608, + 72076432 + ], + [ + 85532585, + 83196422 + ], + [ + 76080568, + 78394739 + ], + [ + 28600928, + 45841136 + ], + [ + 86956765, + 2220103 + ], + [ + 27613084, + 75291755 + ], + [ + 47451491, + 46168348 + ], + [ + 5449306, + 2744852 + ], + [ + 46374763, + 27670860 + ], + [ + 84120552, + 51727630 + ], + [ + 73142586, + 77469006 + ], + [ + 98411469, + 25899691 + ], + [ + 83689061, + 26778265 + ], + [ + 25718618, + 76039477 + ], + [ + 75361283, + 45950896 + ], + [ + 58425195, + 5693420 + ], + [ + 60735773, + 42359112 + ], + [ + 18750164, + 81094281 + ], + [ + 94073347, + 89856553 + ], + [ + 81293442, + 46949851 + ], + [ + 73729615, + 55728971 + ], + [ + 51437881, + 89989083 + ], + [ + 57856327, + 37772115 + ], + [ + 26227981, + 52496541 + ], + [ + 91144846, + 86331362 + ], + [ + 36098765, + 66338188 + ], + [ + 52896048, + 5388639 + ], + [ + 86087407, + 24455054 + ], + [ + 76498748, + 48416802 + ], + [ + 51656304, + 27415104 + ], + [ + 72975774, + 71309712 + ], + [ + 28738193, + 22120611 + ], + [ + 53572142, + 9924381 + ], + [ + 83595051, + 66368072 + ], + [ + 12799066, + 55015747 + ], + [ + 16252521, + 8678368 + ], + [ + 95268194, + 25240776 + ], + [ + 68617815, + 9098272 + ], + [ + 20486510, + 24268300 + ], + [ + 35219534, + 51689866 + ], + [ + 68544459, + 12434503 + ], + [ + 54033334, + 7683757 + ], + [ + 21770472, + 34086587 + ], + [ + 35712, + 25271652 + ], + [ + 8685837, + 82884213 + ], + [ + 65480831, + 31691914 + ], + [ + 99666170, + 10920873 + ], + [ + 58003211, + 89303362 + ], + [ + 53352512, + 79486998 + ], + [ + 18472971, + 15396487 + ], + [ + 92328284, + 33300171 + ], + [ + 74723197, + 43912935 + ], + [ + 11578842, + 29660253 + ], + [ + 24157939, + 44128279 + ], + [ + 89657130, + 55681147 + ], + [ + 61719866, + 21258559 + ], + [ + 9377526, + 61057301 + ], + [ + 15629708, + 15346391 + ], + [ + 20564181, + 50041524 + ], + [ + 10366898, + 43889034 + ], + [ + 86119114, + 89462643 + ], + [ + 95646101, + 76809185 + ], + [ + 67803920, + 30977520 + ], + [ + 93426379, + 4150889 + ], + [ + 83976343, + 75766485 + ], + [ + 19376624, + 75581241 + ], + [ + 13793478, + 66210108 + ], + [ + 31006410, + 46353812 + ], + [ + 59870188, + 55997802 + ], + [ + 84124168, + 21931236 + ], + [ + 98500761, + 53142107 + ], + [ + 39164463, + 58273833 + ], + [ + 86476454, + 62516798 + ], + [ + 87815372, + 84466569 + ], + [ + 85781338, + 67307140 + ], + [ + 74373331, + 75072723 + ], + [ + 39129353, + 12331657 + ], + [ + 39337294, + 13645497 + ], + [ + 14089862, + 29298468 + ], + [ + 55696276, + 69370905 + ], + [ + 77562640, + 54473169 + ], + [ + 2571635, + 44728786 + ], + [ + 77192529, + 21527729 + ], + [ + 47415937, + 83219742 + ], + [ + 36293430, + 90237220 + ], + [ + 9484665, + 25374874 + ], + [ + 80421390, + 48787666 + ], + [ + 46567787, + 77610501 + ], + [ + 63956177, + 36645150 + ], + [ + 48973604, + 78962360 + ], + [ + 94041935, + 30315834 + ], + [ + 552884, + 53039064 + ], + [ + 45079153, + 71224924 + ], + [ + 64910822, + 9185072 + ], + [ + 43157964, + 52619983 + ], + [ + 98207576, + 86792984 + ], + [ + 33521690, + 53052078 + ], + [ + 4983036, + 26568331 + ], + [ + 44369601, + 65283740 + ], + [ + 23880275, + 92589339 + ], + [ + 29890041, + 41898183 + ], + [ + 6662198, + 77046321 + ], + [ + 27719486, + 23440154 + ], + [ + 86306046, + 74179351 + ], + [ + 6921085, + 77342819 + ], + [ + 90104150, + 67304138 + ], + [ + 99673983, + 97869711 + ], + [ + 48682750, + 93637486 + ], + [ + 81458838, + 49255336 + ], + [ + 34446508, + 2556495 + ], + [ + 69378683, + 9939445 + ], + [ + 14362784, + 46250936 + ], + [ + 86751565, + 32495754 + ], + [ + 78808982, + 66381650 + ], + [ + 93586584, + 73184440 + ], + [ + 99144102, + 43177657 + ], + [ + 31218258, + 40121287 + ], + [ + 2180704, + 75730088 + ], + [ + 59884704, + 70959684 + ], + [ + 98342183, + 86892575 + ], + [ + 51391719, + 59668100 + ], + [ + 6785621, + 9736505 + ], + [ + 78154818, + 9822466 + ], + [ + 77706356, + 16245736 + ], + [ + 83114912, + 183384 + ], + [ + 59700086, + 13963881 + ], + [ + 53946470, + 56818069 + ], + [ + 26801549, + 54133486 + ], + [ + 51895382, + 17668912 + ], + [ + 1026186, + 87345899 + ], + [ + 18626488, + 86819964 + ], + [ + 45994800, + 26091756 + ], + [ + 66892212, + 1208978 + ], + [ + 63964480, + 94881851 + ], + [ + 23586495, + 83187746 + ], + [ + 66973062, + 70474368 + ], + [ + 23704466, + 98738212 + ], + [ + 69539156, + 53546852 + ], + [ + 49711771, + 16435013 + ], + [ + 65349150, + 49323110 + ], + [ + 91179538, + 72381646 + ], + [ + 11488018, + 76888565 + ], + [ + 85631896, + 37632475 + ], + [ + 1862486, + 66430668 + ], + [ + 67785563, + 3737014 + ], + [ + 87974494, + 10664878 + ], + [ + 80973150, + 58948231 + ], + [ + 88404261, + 93426923 + ], + [ + 46951699, + 47576270 + ], + [ + 64605029, + 36144228 + ], + [ + 53166521, + 42969319 + ], + [ + 43230060, + 5051534 + ], + [ + 46412003, + 391222 + ], + [ + 83031214, + 98529793 + ], + [ + 64790149, + 45588584 + ], + [ + 4106037, + 21467737 + ], + [ + 9987611, + 3904181 + ], + [ + 84891811, + 19310402 + ], + [ + 59032926, + 84409247 + ], + [ + 69298, + 55127496 + ], + [ + 42237049, + 30218015 + ], + [ + 82959247, + 65577739 + ], + [ + 25171927, + 67058693 + ], + [ + 43070474, + 42745550 + ], + [ + 80132421, + 76303142 + ], + [ + 87722893, + 19645778 + ], + [ + 64334174, + 7418701 + ], + [ + 95247709, + 43503350 + ], + [ + 30506072, + 998026 + ], + [ + 86779046, + 69157472 + ], + [ + 7790906, + 27256479 + ], + [ + 82472963, + 47305652 + ], + [ + 65464327, + 30683255 + ], + [ + 89993546, + 37752644 + ], + [ + 60801148, + 68680317 + ], + [ + 94500928, + 80714431 + ], + [ + 86257831, + 88945956 + ], + [ + 50760024, + 20508963 + ], + [ + 72393018, + 97527871 + ], + [ + 92026420, + 16263403 + ], + [ + 68019154, + 36878062 + ], + [ + 84282247, + 15294804 + ], + [ + 99909855, + 27985206 + ], + [ + 35033672, + 53808484 + ], + [ + 26651412, + 11771721 + ], + [ + 33351868, + 59228290 + ], + [ + 71587401, + 2169408 + ], + [ + 5820185, + 14716536 + ], + [ + 67688550, + 39296256 + ], + [ + 12825105, + 77780771 + ], + [ + 84338180, + 76563195 + ], + [ + 67392137, + 19892977 + ], + [ + 29089770, + 4484504 + ], + [ + 7009899, + 3048328 + ], + [ + 31933201, + 9308712 + ], + [ + 59613992, + 98408384 + ], + [ + 82872396, + 40548284 + ], + [ + 87534816, + 58495988 + ], + [ + 33505140, + 77724342 + ], + [ + 64792517, + 75917134 + ], + [ + 41495770, + 36523869 + ], + [ + 62964483, + 93202774 + ], + [ + 21790190, + 3316432 + ], + [ + 73958790, + 79722837 + ], + [ + 8885265, + 57908468 + ], + [ + 56002271, + 75386755 + ], + [ + 68003841, + 20704558 + ], + [ + 75786335, + 6291942 + ], + [ + 5389524, + 325975 + ], + [ + 91959652, + 48024862 + ], + [ + 85892237, + 37527584 + ], + [ + 51227626, + 68903679 + ], + [ + 37617307, + 23881996 + ], + [ + 88935797, + 18436003 + ], + [ + 27996983, + 62709767 + ], + [ + 45874324, + 43257057 + ], + [ + 14691123, + 94844253 + ], + [ + 52671822, + 6591698 + ], + [ + 99348083, + 51528520 + ], + [ + 29508087, + 77055220 + ], + [ + 23942172, + 49810487 + ], + [ + 20084527, + 12276071 + ], + [ + 2300208, + 59922380 + ], + [ + 44777807, + 28036503 + ], + [ + 76943861, + 45476049 + ], + [ + 13131244, + 13655739 + ], + [ + 99014402, + 18325803 + ], + [ + 93035908, + 90635757 + ], + [ + 36338500, + 80169420 + ], + [ + 63205951, + 32706363 + ], + [ + 81199816, + 90988617 + ], + [ + 75064786, + 57557326 + ], + [ + 19756776, + 97361847 + ], + [ + 87172160, + 69349152 + ], + [ + 69011009, + 77853806 + ], + [ + 56752878, + 62210750 + ], + [ + 31289010, + 3437624 + ], + [ + 33139871, + 16694891 + ], + [ + 20268939, + 4262365 + ], + [ + 31191509, + 7646973 + ], + [ + 76899453, + 18851149 + ], + [ + 2560446, + 64452318 + ], + [ + 73040893, + 40381233 + ], + [ + 14778178, + 93840056 + ], + [ + 54358517, + 65669022 + ], + [ + 18047017, + 71597928 + ], + [ + 757490, + 67181881 + ], + [ + 49157804, + 27646765 + ], + [ + 182402, + 25551008 + ], + [ + 38872771, + 84962667 + ], + [ + 84350019, + 15613411 + ], + [ + 77861713, + 15967031 + ], + [ + 16755027, + 19214783 + ], + [ + 69148159, + 95481844 + ], + [ + 20117469, + 63840662 + ], + [ + 96088824, + 64653689 + ], + [ + 55267995, + 86031904 + ], + [ + 99408227, + 61001570 + ], + [ + 21140119, + 69349279 + ], + [ + 73771930, + 85546478 + ], + [ + 68802692, + 7764915 + ], + [ + 81605953, + 96717476 + ], + [ + 21421466, + 8691514 + ], + [ + 39502067, + 1203615 + ], + [ + 50848761, + 47748589 + ], + [ + 99178703, + 31513656 + ], + [ + 57385230, + 55869644 + ], + [ + 33887856, + 15631309 + ], + [ + 21793969, + 86966757 + ], + [ + 30517871, + 24866305 + ], + [ + 47493383, + 91699516 + ], + [ + 63274313, + 95797557 + ], + [ + 93755131, + 88950586 + ], + [ + 93611193, + 68969034 + ], + [ + 93665976, + 44052372 + ], + [ + 45064872, + 3888382 + ], + [ + 96351090, + 67866211 + ], + [ + 56911366, + 6769679 + ], + [ + 69597832, + 36822210 + ], + [ + 99594973, + 81587037 + ], + [ + 3643540, + 72488254 + ], + [ + 64601457, + 52080911 + ], + [ + 91874169, + 7096618 + ], + [ + 88059074, + 12393443 + ], + [ + 23112956, + 1061449 + ], + [ + 13220068, + 87575267 + ], + [ + 81556224, + 90290333 + ], + [ + 68483041, + 46072934 + ], + [ + 80692781, + 5206426 + ], + [ + 98348058, + 18001918 + ], + [ + 17508337, + 7334323 + ], + [ + 50572009, + 19928439 + ], + [ + 2741479, + 71267956 + ], + [ + 65623241, + 7687156 + ], + [ + 42452024, + 40961282 + ], + [ + 55344212, + 46016373 + ], + [ + 91583710, + 94974218 + ], + [ + 67738998, + 78271208 + ], + [ + 31416058, + 39081704 + ], + [ + 58977054, + 32997125 + ], + [ + 45474177, + 30239926 + ], + [ + 85768640, + 46951155 + ], + [ + 40559541, + 63672312 + ], + [ + 47773255, + 18358273 + ], + [ + 49664912, + 78647320 + ], + [ + 67904097, + 65066633 + ], + [ + 13100939, + 37348547 + ], + [ + 78616335, + 86823530 + ], + [ + 53821757, + 75051374 + ], + [ + 95691597, + 21026430 + ], + [ + 24563345, + 60477441 + ], + [ + 21853224, + 20014146 + ], + [ + 51497650, + 37028200 + ], + [ + 13107379, + 75476397 + ], + [ + 31778714, + 62059507 + ], + [ + 68325921, + 5575643 + ], + [ + 31471898, + 64032540 + ], + [ + 3144050, + 7621880 + ], + [ + 16331427, + 77054642 + ], + [ + 77534137, + 57619906 + ], + [ + 58120863, + 59335477 + ], + [ + 91845376, + 8814261 + ], + [ + 7636536, + 91091059 + ], + [ + 26154804, + 46075727 + ], + [ + 30256468, + 86812860 + ], + [ + 6496998, + 85315507 + ], + [ + 28150103, + 82032468 + ], + [ + 38618660, + 20764176 + ], + [ + 57961813, + 50963441 + ], + [ + 61317560, + 89917636 + ], + [ + 88552920, + 57863128 + ], + [ + 90907208, + 53500414 + ], + [ + 10571199, + 58861212 + ], + [ + 16728181, + 71657207 + ], + [ + 21483873, + 50635357 + ], + [ + 99143307, + 91093952 + ], + [ + 79366481, + 36287852 + ], + [ + 38385852, + 69516756 + ], + [ + 81250374, + 47937197 + ], + [ + 62754403, + 36735674 + ], + [ + 56671788, + 93291554 + ], + [ + 42611920, + 41905289 + ], + [ + 33340764, + 25513050 + ], + [ + 69687163, + 8189918 + ], + [ + 10172611, + 95140018 + ], + [ + 57947566, + 54994402 + ], + [ + 9960745, + 86385880 + ], + [ + 62946526, + 21388726 + ], + [ + 39116230, + 556157 + ], + [ + 70140548, + 43038118 + ], + [ + 7670324, + 38132170 + ], + [ + 77376372, + 99448886 + ], + [ + 28718761, + 44673957 + ], + [ + 51361529, + 55648974 + ], + [ + 27361859, + 57821843 + ], + [ + 98340175, + 5805775 + ], + [ + 14569928, + 87067148 + ], + [ + 14748707, + 41807192 + ], + [ + 6060786, + 57981576 + ], + [ + 95403290, + 71717106 + ], + [ + 51980050, + 19525581 + ], + [ + 99465960, + 76161558 + ], + [ + 49447594, + 7197770 + ], + [ + 86766317, + 60974013 + ], + [ + 12580376, + 4026929 + ], + [ + 74846924, + 74430772 + ], + [ + 27529691, + 11187182 + ], + [ + 6676450, + 1802268 + ], + [ + 80767663, + 13351906 + ], + [ + 91422126, + 83267398 + ], + [ + 27246718, + 37837681 + ], + [ + 63431322, + 69582637 + ], + [ + 86265950, + 12942440 + ], + [ + 69499399, + 30028096 + ], + [ + 70378551, + 14132124 + ], + [ + 67993524, + 11576861 + ], + [ + 56245594, + 26848227 + ], + [ + 51098443, + 5921304 + ], + [ + 73823769, + 56593688 + ], + [ + 32832189, + 68680209 + ], + [ + 94445905, + 52859880 + ], + [ + 57092113, + 62859535 + ], + [ + 12023007, + 23134076 + ], + [ + 20344675, + 66693832 + ], + [ + 20421148, + 95327387 + ], + [ + 40002084, + 97522096 + ], + [ + 60868048, + 50238189 + ], + [ + 6775281, + 11601174 + ], + [ + 302471, + 49873610 + ], + [ + 75262444, + 26327455 + ], + [ + 12322463, + 26767004 + ], + [ + 86184544, + 37177835 + ], + [ + 5269700, + 14575096 + ], + [ + 46389612, + 68304493 + ], + [ + 31658132, + 46278844 + ], + [ + 9269063, + 72157772 + ], + [ + 78932045, + 29129260 + ], + [ + 75792163, + 54980371 + ], + [ + 56158034, + 81146556 + ], + [ + 45473159, + 36407102 + ], + [ + 3236081, + 30425025 + ], + [ + 22480129, + 23150153 + ], + [ + 67257091, + 98386140 + ], + [ + 32855073, + 72265555 + ], + [ + 88705651, + 50716943 + ], + [ + 44725425, + 15333746 + ], + [ + 22304811, + 51972885 + ], + [ + 52856263, + 6292901 + ], + [ + 70747972, + 43224465 + ], + [ + 38453514, + 436198 + ], + [ + 53120856, + 66116029 + ], + [ + 92083767, + 57792732 + ], + [ + 17742677, + 65698131 + ], + [ + 22608481, + 95453682 + ], + [ + 44649128, + 11558952 + ], + [ + 25687423, + 92614773 + ], + [ + 49144884, + 33370430 + ], + [ + 47272588, + 1629795 + ], + [ + 18552848, + 93259459 + ], + [ + 8975254, + 1636527 + ], + [ + 72864278, + 68645758 + ], + [ + 4485951, + 1214177 + ], + [ + 72122447, + 34593915 + ], + [ + 36695112, + 14676349 + ], + [ + 14858205, + 73101892 + ], + [ + 92920137, + 73483253 + ], + [ + 41859706, + 99779383 + ], + [ + 68540066, + 15039831 + ], + [ + 55230015, + 63182484 + ], + [ + 86448320, + 81682283 + ], + [ + 59718207, + 96327082 + ], + [ + 50298568, + 2392452 + ], + [ + 66591194, + 38635188 + ], + [ + 70401096, + 32742447 + ], + [ + 41742801, + 48560380 + ], + [ + 90161407, + 88574813 + ], + [ + 70177611, + 30722231 + ], + [ + 61830849, + 85735007 + ], + [ + 13637518, + 11826173 + ], + [ + 48728797, + 73461684 + ], + [ + 43982817, + 74939267 + ], + [ + 58163234, + 81834732 + ], + [ + 25008632, + 37958724 + ], + [ + 64875733, + 31118548 + ], + [ + 45070497, + 53512710 + ], + [ + 9876227, + 22180618 + ], + [ + 3307420, + 30698654 + ], + [ + 95623970, + 38325188 + ], + [ + 53516204, + 5322059 + ], + [ + 60589943, + 46897276 + ], + [ + 55630736, + 32698402 + ], + [ + 13452929, + 17405675 + ], + [ + 73969590, + 69189528 + ], + [ + 36754306, + 60297246 + ], + [ + 53679322, + 57216911 + ], + [ + 48001197, + 13471204 + ], + [ + 20241368, + 26878968 + ], + [ + 6231633, + 72275212 + ], + [ + 89696196, + 52742781 + ], + [ + 74911552, + 91555573 + ], + [ + 82699004, + 92526157 + ], + [ + 92041127, + 46875010 + ], + [ + 92184249, + 20247283 + ], + [ + 33360541, + 66215513 + ], + [ + 74944461, + 77377290 + ], + [ + 11668117, + 39191797 + ], + [ + 85388062, + 78317907 + ], + [ + 19599480, + 96460809 + ], + [ + 28383390, + 61752494 + ], + [ + 17594336, + 27339964 + ], + [ + 73654080, + 17828816 + ], + [ + 82580475, + 71186741 + ], + [ + 66256215, + 58468639 + ], + [ + 47624914, + 27796412 + ], + [ + 39469396, + 58301830 + ], + [ + 92561535, + 75474447 + ], + [ + 59453063, + 82022571 + ], + [ + 75216065, + 34792883 + ], + [ + 6301440, + 20628880 + ], + [ + 68344187, + 55036897 + ], + [ + 86921246, + 48627553 + ], + [ + 34235786, + 53605225 + ], + [ + 45737895, + 41127545 + ], + [ + 39622346, + 92243965 + ], + [ + 8168172, + 97099451 + ], + [ + 16073550, + 88004660 + ], + [ + 32106914, + 93624138 + ], + [ + 9264970, + 5608105 + ], + [ + 83265125, + 89076657 + ], + [ + 72257744, + 92570509 + ], + [ + 35914873, + 9917010 + ], + [ + 1288963, + 44655011 + ], + [ + 6195816, + 30905932 + ], + [ + 12042860, + 65922559 + ], + [ + 32878699, + 80170140 + ], + [ + 25491204, + 32495162 + ], + [ + 45437837, + 57677464 + ], + [ + 54946756, + 61131257 + ], + [ + 79268548, + 47583166 + ], + [ + 99441850, + 45440212 + ], + [ + 55122239, + 86350267 + ], + [ + 88005110, + 79368649 + ], + [ + 5118548, + 89063792 + ], + [ + 26495074, + 44029509 + ], + [ + 14319595, + 65525597 + ], + [ + 88237951, + 49903359 + ], + [ + 96457788, + 40427821 + ], + [ + 40316028, + 89613330 + ], + [ + 15162864, + 51977465 + ], + [ + 50622078, + 77553199 + ], + [ + 90721901, + 93779548 + ], + [ + 66415687, + 73366633 + ], + [ + 94299386, + 85878480 + ], + [ + 99134381, + 4865229 + ], + [ + 28034281, + 22521748 + ], + [ + 99293145, + 94388734 + ], + [ + 16736736, + 31930406 + ], + [ + 96923445, + 6359492 + ], + [ + 42248040, + 68301656 + ], + [ + 75410698, + 95658659 + ], + [ + 30233083, + 96404826 + ], + [ + 84597401, + 59336974 + ], + [ + 71609814, + 65078077 + ], + [ + 6734637, + 72755834 + ], + [ + 86708636, + 20947712 + ], + [ + 60746213, + 5837810 + ], + [ + 69641308, + 80059474 + ], + [ + 35466681, + 44170282 + ], + [ + 13195644, + 95383681 + ], + [ + 95450326, + 59709085 + ], + [ + 15755922, + 11418962 + ], + [ + 82189927, + 12231129 + ], + [ + 22319624, + 43805125 + ], + [ + 28741682, + 51013484 + ], + [ + 56841463, + 20949154 + ], + [ + 71990773, + 78029668 + ], + [ + 26360683, + 75028010 + ], + [ + 22903985, + 15428246 + ], + [ + 16110843, + 80530410 + ], + [ + 17243183, + 54895056 + ], + [ + 96794250, + 99601021 + ], + [ + 21143956, + 58422305 + ], + [ + 21771829, + 78350747 + ], + [ + 49474098, + 66789959 + ], + [ + 88242770, + 22988960 + ], + [ + 2677802, + 78807150 + ], + [ + 55930409, + 12592343 + ], + [ + 57615526, + 76706509 + ], + [ + 20842957, + 2850549 + ], + [ + 52972139, + 15485572 + ], + [ + 32249617, + 96002356 + ], + [ + 49795451, + 89159739 + ], + [ + 62465997, + 16718088 + ], + [ + 4665853, + 32681124 + ], + [ + 71685767, + 44273178 + ], + [ + 61111784, + 48299085 + ], + [ + 64473571, + 59231211 + ], + [ + 72692263, + 17908762 + ], + [ + 42460178, + 46658691 + ], + [ + 3520131, + 59758341 + ], + [ + 30535849, + 26539785 + ], + [ + 94933263, + 13290173 + ], + [ + 73699538, + 74782324 + ], + [ + 32459781, + 95420831 + ], + [ + 25271052, + 19066704 + ], + [ + 79354664, + 8669482 + ], + [ + 42493249, + 48578500 + ], + [ + 6717681, + 45514361 + ], + [ + 56346460, + 81160838 + ], + [ + 21270182, + 94145342 + ], + [ + 80804023, + 59917057 + ], + [ + 2461625, + 47681856 + ], + [ + 58251435, + 98581759 + ], + [ + 49778691, + 3576487 + ], + [ + 74084, + 5519503 + ], + [ + 24425545, + 33963596 + ], + [ + 38269827, + 69134584 + ], + [ + 95808982, + 64983707 + ], + [ + 81307228, + 80433928 + ], + [ + 40785530, + 19953394 + ], + [ + 38677514, + 22856588 + ], + [ + 67236979, + 61210085 + ], + [ + 10095198, + 83149022 + ], + [ + 28850886, + 658843 + ], + [ + 41513690, + 89541520 + ], + [ + 32598603, + 72866825 + ], + [ + 20177299, + 69706518 + ], + [ + 44039075, + 71253379 + ], + [ + 72859137, + 84891934 + ], + [ + 90425473, + 4587383 + ], + [ + 99099413, + 10610567 + ], + [ + 51221966, + 3927480 + ], + [ + 47501128, + 3575229 + ], + [ + 63105846, + 47374950 + ], + [ + 23129020, + 28368285 + ], + [ + 87008728, + 60797760 + ], + [ + 21733719, + 78559354 + ], + [ + 27520099, + 29115252 + ], + [ + 94913146, + 69782631 + ], + [ + 52056176, + 38595752 + ], + [ + 43005088, + 60679882 + ], + [ + 82466453, + 35933971 + ], + [ + 30699907, + 84715986 + ], + [ + 5540108, + 77492055 + ], + [ + 69846137, + 96534045 + ], + [ + 56960349, + 43343024 + ], + [ + 84590669, + 5039987 + ], + [ + 52525891, + 20182929 + ], + [ + 96306317, + 21102179 + ], + [ + 69213879, + 16674771 + ], + [ + 17056381, + 16633402 + ], + [ + 53366634, + 9725554 + ], + [ + 94926649, + 61036302 + ], + [ + 99663803, + 85444913 + ], + [ + 75097296, + 54291473 + ], + [ + 2411918, + 17592968 + ], + [ + 65347758, + 8731960 + ], + [ + 74987207, + 73547097 + ], + [ + 98932111, + 86547429 + ], + [ + 89201291, + 7233294 + ], + [ + 92880348, + 76797426 + ], + [ + 34502365, + 79268694 + ], + [ + 65413595, + 26867901 + ], + [ + 59533158, + 60317165 + ], + [ + 22133944, + 1558889 + ], + [ + 22776548, + 40895063 + ], + [ + 28034909, + 55742555 + ], + [ + 52324840, + 60916986 + ], + [ + 55209960, + 17049583 + ], + [ + 49766671, + 20936130 + ], + [ + 33162313, + 31115678 + ], + [ + 84569131, + 48936814 + ], + [ + 3970176, + 8150357 + ], + [ + 46161418, + 68737788 + ], + [ + 36340037, + 26955859 + ], + [ + 55150307, + 17550440 + ], + [ + 53828037, + 11688406 + ], + [ + 149663, + 78753373 + ], + [ + 69926805, + 11448242 + ], + [ + 12786404, + 84321383 + ], + [ + 3755061, + 90921596 + ], + [ + 99954044, + 62554825 + ], + [ + 25613037, + 45076192 + ], + [ + 90876717, + 52382648 + ], + [ + 71723818, + 89767718 + ], + [ + 65379912, + 6011264 + ], + [ + 69969258, + 31545208 + ], + [ + 45547876, + 88715738 + ], + [ + 74212211, + 58164751 + ] + ], + "output": 199130908 + }, + { + "input": [ + [ + 13431165, + 56816431 + ], + [ + 59650469, + 63432691 + ], + [ + 11516284, + 82052279 + ], + [ + 69127793, + 24278477 + ], + [ + 28709314, + 27109596 + ], + [ + 71696668, + 26482486 + ], + [ + 99571764, + 98547363 + ], + [ + 31818454, + 72298459 + ], + [ + 9343014, + 86637163 + ], + [ + 36636574, + 80106036 + ], + [ + 29685178, + 67539976 + ], + [ + 43536555, + 51271970 + ], + [ + 29041552, + 31522528 + ], + [ + 97063429, + 87631164 + ], + [ + 35550745, + 5517425 + ], + [ + 22225498, + 29986050 + ], + [ + 91303789, + 45418689 + ], + [ + 84454961, + 52320044 + ], + [ + 60489297, + 63681784 + ], + [ + 45965332, + 63279115 + ] + ], + "output": 143626423 + }, + { + "input": [ + [ + 26, + 26 + ], + [ + 14, + 51 + ], + [ + 10, + 55 + ], + [ + 14, + 25 + ], + [ + 30, + 59 + ], + [ + 88, + 30 + ], + [ + 80, + 93 + ], + [ + 8, + 81 + ], + [ + 16, + 47 + ], + [ + 13, + 38 + ], + [ + 62, + 84 + ], + [ + 33, + 66 + ], + [ + 66, + 17 + ], + [ + 90, + 58 + ], + [ + 71, + 24 + ] + ], + "output": 131 + }, + { + "input": [ + [ + 100, + 100 + ], + [ + 100, + 100 + ], + [ + 100, + 100 + ], + [ + 100, + 100 + ], + [ + 100, + 100 + ] + ], + "output": 0 + } + ], + "haskell_template": "minimumDistance :: [[Int]] -> Int\nminimumDistance points ", + "ocaml_template": "let minimumDistance (points: int list list) : int = ", + "scala_template": "def minimumDistance(points: List[List[Int]]): Int = { \n \n}", + "java_template": "class Solution {\n public int minimumDistance(int[][] points) {\n \n }\n}", + "python_template": "class Solution(object):\n def minimumDistance(self, points):\n \"\"\"\n :type points: List[List[int]]\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimize_manhattan_distances/ocaml_tests/main.ml b/minimize_manhattan_distances/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..b7b7c84916175dc10fd28ddb6bee752f2e9be8ce --- /dev/null +++ b/minimize_manhattan_distances/ocaml_tests/main.ml @@ -0,0 +1,42 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let minimumDistance (points: int list list) : int = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 12 (minimumDistance [[3;10];[5;15];[10;2];[4;4]]) + +let test2 _ = assert_equal 0 (minimumDistance [[1;1];[1;1];[1;1]]) + +let test3 _ = assert_equal 0 (minimumDistance [[22291889; 62223479]; [20133205; 12454800]; [98966525; 97979105]]) + +let test4 _ = assert_equal 0 (minimumDistance [[60524669; 99195537]; [37378551; 14300009]; [32140740; 2097506]; [49507707; 2326044]; [76469935; 48238154]; [55612334; 51404665]; [65448799; 98176793]; [19033101; 84371599]; [65611802; 57291950]; [40365227; 48669746]; [3066472; 4885187]; [89984748; 26328215]; [53953738; 39015072]; [11943073; 83269394]; [62138154; 36863537]; [47192624; 68599111]; [11402048; 87923070]; [39002549; 48828255]; [45487396; 84836799]; [17110206; 58728525]; [49367833; 11989602]; [41381581; 41809172]; [57193356; 17559448]; [23552704; 27327996]; [3720166; 4511437]; [6987273; 4600353]; [14199919; 15581273]; [26128754; 51648681]; [56843299; 44218314]; [9212778; 14172237]; [17798312; 41869433]; [91998981; 80058038]; [57676822; 90237537]; [70680043; 39255155]; [5445602; 75719802]; [71643804; 5189496]; [59079896; 6308231]; [21872456; 33825381]; [88437209; 22922960]; [51388021; 40479723]; [87189304; 66123356]; [69886996; 8187080]; [98621673; 73341981]; [98743606; 25157569]; [69239644; 33066082]; [91399814; 32552112]; [51654854; 12438259]; [69067641; 15982093]; [9717389; 92648788]; [86498312; 6075012]; [45548765; 74482332]; [87818036; 10037309]; [95480436; 18772838]; [15117845; 97068766]; [47892039; 65734900]; [82403456; 85256915]; [25342469; 18847175]; [62787806; 76315415]; [32568139; 93937922]; [27909738; 73388017]; [487505; 11727722]; [79251731; 9626819]; [74025104; 58246013]; [82556296; 907645]; [48832761; 86304722]; [35162427; 14636906]; [42001927; 989916]; [77749963; 89717989]; [66376034; 56890474]; [33927606; 15822801]; [6061200; 84955839]; [36002898; 30167986]; [80456659; 91227349]; [74145274; 84728069]; [9991541; 29355372]; [73207014; 64696562]; [92127011; 63182276]; [35995852; 16947103]; [97048939; 7493356]; [18735514; 46317951]; [70313855; 1982102]; [54988329; 79966597]; [178700; 50009169]; [50044868; 2509805]; [96901694; 45979744]; [52025338; 63694596]; [36282639; 24020455]; [41737212; 77615889]; [82157534; 79234044]; [63075607; 83044629]; [17403457; 14848058]; [73493994; 5717875]; [902148; 94181959]; [71072694; 45926397]; [1848675; 55362026]; [21108206; 94165461]; [48938565; 14859701]; [28363093; 9667314]; [97649057; 44497213]; [7132263; 53849356]; [71530788; 44884105]; [50949739; 65705678]; [85731231; 22807758]; [54363062; 21766035]; [67746949; 5448769]; [61427501; 4963147]; [48530251; 88225458]; [4295255; 53523557]; [31588106; 71063292]; [7325718; 37271668]; [45140960; 72395923]; [79827240; 8383336]; [31043336; 64991580]; [69684638; 52269595]; [4256991; 20579648]; [17343711; 30905435]; [72363577; 72875136]; [21498545; 12921220]; [35415442; 63259930]; [93201737; 20148305]; [44914160; 34336093]; [81433194; 46039598]; [13130426; 34161003]; [80540752; 6936152]; [74619141; 12321156]; [927431; 78048283]; [88918147; 43453305]; [29379760; 31987515]; [56194728; 83723240]; [87166745; 28864369]; [36846675; 42250293]; [48015599; 37699462]; [13320157; 76836692]; [1886008; 87749728]; [97841796; 70394149]; [65095011; 52991581]; [45786863; 11198196]; [81395640; 72619149]; [66199131; 17612564]; [18755613; 57560156]; [1748180; 15350356]; [14138318; 92743153]; [8607881; 99572467]; [76829297; 1394134]; [76780277; 19809076]; [6997208; 887849]; [51538384; 36191168]; [79276460; 40616358]; [92034567; 83745099]; [88830790; 98946886]; [74458136; 79396605]; [86943704; 72095327]; [15010193; 74414064]; [23596690; 23370960]; [48511600; 27599945]; [55231175; 11078193]; [16898162; 1921478]; [19036624; 43844650]; [19299596; 3810320]; [91224374; 83957766]; [80675377; 6634983]; [61133966; 83040095]; [39943009; 65542858]; [66475163; 12245164]; [73637246; 74284452]; [96679141; 66363340]; [61460511; 75635594]; [84785467; 53842609]; [76731117; 31139372]; [3732800; 83736895]; [66934586; 39605462]; [6469432; 14202803]; [6405588; 62459749]; [91178245; 36933840]; [5328525; 80598594]; [20540491; 1562065]; [69939945; 59305797]; [22375487; 79487237]; [62141074; 18852610]; [64559460; 67021985]; [18345485; 18942982]; [62031523; 67570044]; [72370910; 75832832]; [22231428; 82300152]; [19557217; 16588141]; [18325222; 78966880]; [18532929; 17598631]; [70201602; 21930474]; [44398197; 69806122]; [27767608; 7575229]; [49354092; 65977358]; [52158406; 89434528]; [42610553; 35217253]; [96833810; 1781337]; [89477198; 93753790]; [68601673; 88930896]; [20859961; 2693799]; [97853221; 28659100]; [22851344; 72960817]; [73804148; 65120296]; [90714314; 48501285]; [66123790; 45458787]; [39416422; 82029582]; [20480889; 26030141]; [76809867; 86780140]; [75183674; 46032975]; [72523887; 31788654]; [52027541; 3954131]; [64464681; 45577989]; [46582060; 15816375]; [75620885; 69914836]; [3349625; 88177709]; [34755436; 93351918]; [55706058; 53155922]; [83777286; 23587155]; [14284465; 18041383]; [83843073; 89236979]; [25488479; 17250320]; [90632883; 32945340]; [84894587; 69009605]; [69251702; 88501561]; [28612343; 95548889]; [90687249; 63525017]; [1139728; 50124349]; [94896437; 11604725]; [64560475; 77355600]; [25851335; 17601759]; [15358472; 51007258]; [53425069; 45049523]; [2211617; 70913898]; [40699384; 79019897]; [47926543; 71248519]; [3568219; 85494033]; [79024920; 86900352]; [10177920; 34865123]; [82670596; 81013414]; [33739196; 93787556]; [5356836; 49626877]; [85525980; 26107609]; [90698042; 6401501]; [18365574; 43619727]; [16738278; 25875174]; [98258833; 12925993]; [48209930; 40255339]; [22710780; 3748951]; [43434251; 56034452]; [61297840; 99831872]; [62758236; 26452926]; [9460990; 35828717]; [54419937; 86504512]; [70851693; 59409515]; [24640681; 78461190]; [50581932; 30686280]; [69185666; 19049908]; [44230401; 51407033]; [63613305; 3739235]; [7764096; 3011927]; [32282852; 21638890]; [20062250; 38622881]; [53330496; 44572893]; [39254633; 68921699]; [73622862; 22342384]; [6946121; 12607402]; [51211300; 10044221]; [24497687; 52304183]; [61355299; 2945373]; [67253778; 94565756]; [88383221; 54373368]; [5186461; 78165187]; [16866300; 24107213]; [88132927; 44585071]; [42612109; 39984606]; [60236404; 37702556]; [14081932; 91791867]; [1417179; 67330758]; [90326563; 58307226]; [1975816; 73621985]; [58506057; 3504043]; [60197340; 84173255]; [83863159; 68599989]; [27722001; 83496136]; [94678255; 66477626]; [73706831; 94159064]; [99805725; 85363216]; [59276548; 80857384]; [68686576; 80602939]; [88713399; 58484076]; [57229617; 57869186]; [52029517; 91324733]; [22547831; 42542993]; [94760364; 91345181]; [50300419; 58414028]; [15093409; 68926982]; [11092291; 5244654]; [93831169; 43797189]; [19783837; 74728745]; [27186472; 97588867]; [89656054; 38210364]; [28746907; 60692493]; [23440360; 76982361]; [12435379; 18630099]; [20667683; 83634822]; [81798523; 82846321]; [52895455; 36044015]; [90046330; 87120465]; [87315459; 90881034]; [80782570; 7883806]; [46259294; 32109637]; [80988482; 63593059]; [22944683; 68347726]; [72139523; 39737416]; [29187698; 6141522]; [53023219; 95546815]; [86648437; 73046914]; [32369246; 19973548]; [59530561; 27610220]; [72057765; 86338398]; [58347670; 99006229]; [36669184; 62754471]; [21785130; 75669034]; [11011197; 75453762]; [37337703; 95381597]; [7465133; 81454353]; [63168095; 72707244]; [23541594; 22972528]; [86740184; 51330348]; [20921140; 67056895]; [45419088; 88058220]; [72598539; 5596550]; [65356856; 70721235]; [6049506; 53308003]; [55555011; 12706328]; [84490573; 92673719]; [45276661; 16643075]; [53726424; 67306805]; [61295333; 2796131]; [30026792; 8518336]; [28966108; 19266176]; [32209656; 20130471]; [57735177; 56662500]; [74878540; 62624972]; [72824700; 3958580]; [47973572; 57279629]; [96922084; 34447459]; [59776938; 48881608]; [30079407; 74419091]; [41131230; 49345764]; [14913366; 42782458]; [64136452; 52541659]; [63859828; 88521047]; [47966543; 94926553]; [10422605; 67691487]; [41690329; 77926696]; [97957580; 10068404]; [58315804; 95787510]; [25461931; 84566148]; [51456491; 71480438]; [20267578; 44266743]; [56772042; 66116470]; [64071461; 65836660]; [52106038; 99070948]; [98330318; 2993881]; [84614430; 52620720]; [53317068; 12004298]; [42232045; 72410711]; [97493875; 54725804]; [44679887; 49482376]; [61007697; 16773447]; [78842171; 5538954]; [39198545; 55162467]; [1345938; 44386828]; [63482940; 41190308]; [38638795; 83879491]; [87581836; 80872792]; [47935066; 37390831]; [61702303; 10897835]; [9485710; 92588688]; [10373034; 74435700]; [96031388; 77745935]; [74119367; 27690201]; [24042577; 94393453]; [66149335; 42447831]; [14755382; 42019172]; [86411589; 97069605]; [80877169; 26721077]; [82698027; 278169]; [23009785; 77218407]; [24536051; 25489417]; [76316699; 82482965]; [45351341; 4275344]; [32723231; 42409503]; [39018759; 51494447]; [80047012; 24314773]; [52615351; 18496507]; [78852572; 13389803]; [52071754; 17258692]; [65223597; 78901973]; [63173671; 94021543]; [57717845; 81526459]; [3777849; 83539721]; [230984; 80108479]; [79837059; 33841251]; [48894108; 70715457]; [11396650; 24468610]; [61150157; 74208064]; [37040060; 2568717]; [24506766; 54972038]; [61788006; 83988072]; [34682665; 84342464]; [25163485; 88801988]; [46832989; 95371423]; [46993104; 16222435]; [7783235; 29726230]; [56665149; 69285338]; [38801926; 11554915]; [18923213; 38108500]; [24276011; 29740595]; [75552807; 95183196]; [59682133; 66748700]; [39369993; 20169239]; [1529252; 6021243]; [61811706; 78333540]; [80548951; 56471949]; [64725154; 7762949]; [49686549; 94093555]; [25229372; 36506652]; [84582937; 24645599]; [84526962; 66494554]; [19269863; 59222417]; [29975237; 12070078]; [68367951; 1812325]; [40297757; 56841453]; [73766261; 44705387]; [62810654; 67749446]; [837896; 95640119]; [46089622; 46947158]; [38171060; 52170391]; [92524623; 48350723]; [66183846; 57967368]; [85675089; 13047597]; [38644837; 44490492]; [22885726; 74912805]; [92129039; 88418369]; [7597193; 47895541]; [27883875; 80617739]; [18085547; 79396249]; [78693900; 75075268]; [6001623; 98737126]; [45933231; 30004615]; [72144268; 76945294]; [1534942; 29591559]; [10868200; 60713807]; [95126933; 12539811]; [81547493; 59992396]; [11843715; 47292989]; [7248123; 75831734]; [29582364; 30258119]; [77037680; 95985295]; [16885191; 11326404]; [45905745; 36656228]; [26777581; 23581621]; [32055774; 67518453]; [83261708; 13789005]; [482520; 46749996]; [47541025; 62237348]; [36128165; 17038323]; [69169631; 32173079]; [42698726; 34232996]; [24110017; 40340630]; [96560439; 15774505]; [24622371; 13438031]; [45027658; 43766976]; [90610431; 74811318]; [50756345; 3506915]; [89920944; 6859139]; [5601034; 6422721]; [90467044; 8148764]; [75813250; 32724728]; [78539227; 84725676]; [11856517; 61131412]; [42858951; 20884141]; [79191343; 95907243]; [73642246; 71514670]; [9411577; 18907088]; [39807202; 49201972]; [58834613; 17755345]; [95025910; 23452681]; [2791604; 25678953]; [28306063; 21804946]; [21661417; 49912017]; [29869075; 98776034]; [6943317; 21658023]; [62213496; 99938593]; [41442680; 57543079]; [63361558; 79370929]; [77469779; 35727338]; [75658920; 10169312]; [45767619; 81198287]; [46589226; 6839519]; [61678749; 90661119]; [53335636; 67455512]; [7143772; 46566923]; [17606559; 73284705]; [93455223; 8457388]; [39992505; 47528602]; [26991707; 20813320]; [69967678; 45383366]; [85939793; 10587939]; [67768920; 53499953]; [71863693; 6316967]; [10958; 43979850]; [98094218; 32249639]; [57798478; 93243047]; [71644923; 49202041]; [55981539; 80933503]; [11931612; 43930033]; [45087265; 25772820]; [39687680; 83234859]; [70384571; 59289755]; [3739884; 59670733]; [4403435; 6604084]; [6611800; 40551489]; [58014331; 68817725]; [66930304; 87010548]; [57227958; 93582033]; [19817697; 62453129]; [70380568; 56273248]; [20086423; 54105488]; [66846137; 70273894]; [42408659; 89933394]; [24659267; 92959329]; [16831853; 25010969]; [90710189; 96132177]; [41467676; 60945821]; [29384761; 77994127]; [23735958; 26901661]; [76391002; 2010294]; [35094151; 66804766]; [14241263; 86236149]; [26497960; 35407906]; [17024544; 67964826]; [96464808; 70871412]; [9951236; 86700553]; [68974332; 50115776]; [68778741; 66209968]; [91683531; 73113780]; [55058878; 17695921]; [82793014; 17153484]; [99920313; 22271702]; [7441725; 46831325]; [40657208; 24731909]; [90657326; 77269087]; [37331955; 29768325]; [64851603; 37309387]; [63921171; 77776932]; [38142491; 60850386]; [91360405; 13513584]; [9439188; 20329677]; [316129; 73562327]; [49252496; 43595447]; [45389836; 40541934]; [91470726; 96329554]; [12408286; 85303445]; [52673360; 61414340]; [82512517; 5413685]; [36824719; 23280719]; [50208079; 58624249]; [11141672; 9282859]; [93360177; 84533594]; [96189037; 74390886]; [13475832; 21013358]; [16170583; 58441644]; [55457508; 56987146]; [87749553; 32916197]; [94734630; 59963640]; [1993670; 74821170]; [45824208; 1662584]; [81266945; 92060063]; [45513585; 61235441]; [7255143; 92076928]; [80040304; 15836520]; [77763869; 23039201]; [75741877; 50062758]; [77069126; 16920481]; [46451142; 47362438]; [31987815; 99456098]; [72620802; 8228019]; [27698605; 49934312]; [80206933; 37165571]; [36481695; 66804574]; [18208504; 98787842]; [40894651; 25609502]; [84537537; 63492701]; [97021095; 94657981]; [73256816; 9685981]; [42446503; 23504697]; [57908276; 55257136]; [75474638; 12943787]; [64176814; 3116164]; [30477781; 57635789]; [2016894; 1567172]; [31313698; 85982251]; [39359802; 96591426]; [94300056; 47689994]; [30017024; 86934156]; [39675572; 41200687]; [76220995; 50852642]; [65346577; 64371159]; [65470929; 18768173]; [25522946; 3358148]; [1218560; 76708175]; [61294427; 59133264]; [83315286; 87350396]; [32326605; 93155900]; [70308858; 6982466]; [31791553; 27792293]; [11690781; 9503788]; [72738716; 47114035]; [90158599; 30842626]; [46762960; 98749251]; [87211618; 1065221]; [60491916; 78791186]; [69094327; 98908725]; [66070281; 84792138]; [5250085; 71667036]; [2915802; 96500661]; [34096587; 58126341]; [61563015; 64705111]; [57861070; 22389604]; [22004701; 67088226]; [17967345; 8986423]; [61582336; 53885902]; [54735321; 57722883]; [45804970; 54946372]; [38614917; 28426517]; [34407109; 89474674]; [94239429; 20909764]; [56574249; 43764655]; [34718303; 22341152]; [48330758; 723148]; [70991048; 58861517]; [44440344; 31794581]; [15547109; 74142809]; [8436461; 11090591]; [88196461; 17481777]; [29554211; 34611112]; [10895246; 32672844]; [40113430; 61676241]; [98444716; 14366247]; [61254647; 41475283]; [32932816; 4417581]; [64645764; 62260644]; [20759744; 28859675]; [16589659; 10307700]; [94406948; 33209123]; [55923764; 42649031]; [56641322; 89334932]; [26825208; 54934959]; [43260377; 86503778]; [53088009; 25050237]; [12284527; 2472183]; [25213268; 91581673]; [74019913; 15538107]; [13224679; 43519108]; [23818346; 85219770]; [32209288; 38146197]; [81429104; 26551404]; [19612594; 14126093]; [67100377; 24441228]; [12604038; 76999678]; [28809535; 17418416]; [80921667; 79402605]; [77402724; 74635312]; [19307426; 50964664]; [80615164; 40130701]; [66257325; 98385424]; [60143375; 49084725]; [81407659; 47832920]; [53039103; 26980108]; [74965644; 75520921]; [66266773; 72064177]; [2372725; 66475066]; [66486272; 41266710]; [13858069; 65060307]; [89348624; 1130330]; [6195411; 48337535]; [24953204; 29351535]; [85648086; 94994416]; [82373745; 84540337]; [69839690; 381102]; [49481828; 25612859]; [26333726; 17878831]; [33737008; 34425751]; [66622784; 73584089]; [27206019; 56301333]; [97580536; 52388866]; [21576190; 28216731]; [31423448; 44992143]; [18690922; 96677300]; [13683818; 70926412]; [27274633; 26195422]; [52166821; 9798700]; [29752828; 80259074]; [604460; 94638311]; [20641774; 46826622]; [55515736; 71265322]; [35129941; 71180021]; [64830397; 11984332]; [93452100; 55526051]; [43194858; 59360934]; [24502950; 94904985]; [25907399; 68361554]; [1459541; 14952941]; [41531592; 2176286]; [44366121; 20390453]; [52910206; 55685061]; [15855207; 50547508]; [53951778; 52131155]; [28715708; 74190641]; [64139854; 73784375]; [11998301; 7813668]; [85206154; 16842306]; [66639448; 6673888]; [81252892; 29600462]; [93313408; 20220165]; [3760128; 16785182]; [24052544; 91396446]; [34941744; 90255627]; [96636334; 21493675]; [55246088; 54692526]; [40226734; 95834717]; [17687; 89759578]; [71598574; 48420041]; [51625554; 22336766]; [490508; 20986130]; [92561868; 96483452]; [52192228; 58514626]; [81024544; 68331251]; [1901581; 31466550]; [59639641; 94996372]; [3150093; 36247759]; [34840693; 16380408]; [84331380; 70267378]; [6353659; 26909850]; [19438546; 15317776]; [15880683; 63949838]; [18822321; 46874363]; [12858880; 34500403]; [33534955; 2551774]; [49603165; 70762195]; [63559580; 38652168]; [46645341; 4678951]; [12443341; 40926384]; [59870932; 57931472]; [55681234; 20130475]; [97211367; 39864519]; [8175987; 71351954]; [64722662; 93079719]; [68658756; 46971220]; [92159014; 26429871]; [62409756; 33285114]; [5360568; 31642874]; [17057186; 33095278]; [28734220; 49824868]; [39838666; 58856547]; [97305167; 27872833]; [72364028; 16850085]; [90313117; 66665623]; [72309696; 64215429]; [73676098; 33624045]; [28245713; 80871431]; [54808887; 78254036]; [55207593; 23560758]; [80057370; 33999691]; [70365820; 67985705]; [27375764; 90311893]; [27106537; 74705586]; [65477664; 53069283]; [5312260; 18137950]; [21598479; 95419219]; [93447023; 63755253]; [85776962; 66776150]; [47805117; 78880238]; [34724166; 73256289]; [13340284; 49960427]; [21327859; 69614407]; [58290386; 6627351]; [5009459; 63988625]; [97493560; 51542290]; [94011044; 78369943]; [10939315; 295549]; [24567690; 34248775]; [44416943; 71283852]; [32727938; 32980955]; [188120; 25746515]; [25780041; 90395192]; [34638388; 27921349]; [98064244; 63820857]; [11158811; 53887043]; [4269515; 14662106]; [64079078; 13170759]; [57918228; 22707674]; [82908914; 783628]; [56505110; 91052617]; [12108152; 22224760]; [45203881; 61257231]; [79212129; 4497165]; [21268697; 59475083]; [18819693; 95283674]; [18791040; 6096654]; [5870717; 19692973]; [11267266; 24941586]; [63658476; 2065411]; [35726133; 18317777]; [96586891; 99019173]; [65656488; 90558960]; [15547483; 31757701]; [85676560; 77515890]; [61348463; 38027794]; [18732851; 20935968]; [14712726; 15681902]; [85167432; 91818203]; [53955470; 88274152]; [99154531; 6246004]; [10671773; 10246019]; [52359673; 92081980]; [49548983; 98760992]; [8490667; 40907651]; [98486872; 44614724]; [31165786; 47721122]; [18383802; 36290431]; [97909772; 39703187]; [8218208; 85856259]; [81992029; 74299502]; [3612489; 42252982]; [36860288; 31336513]; [39571091; 94002758]; [31370170; 16871474]; [74215376; 38285212]; [588947; 35312379]; [13057146; 11098314]; [79633293; 54476641]; [36565230; 18811350]; [44792061; 36056993]; [25232167; 12836543]; [23364465; 47286445]; [77188867; 7309199]; [96702032; 60005390]; [68195923; 74400537]; [71914983; 23210574]; [8805393; 79112441]; [98762363; 55688214]; [27370420; 1627721]; [95991217; 4221404]; [49799509; 34019680]; [44681582; 7763969]; [98532765; 37586819]; [94555198; 69350453]; [30976407; 13335011]; [53463472; 7011607]; [9513137; 64383151]; [94568126; 20444370]; [40877329; 72461091]; [34737556; 74805676]; [32886147; 14739941]; [14648976; 7103138]; [66289858; 37094465]; [2189561; 68292174]; [74332194; 90278922]; [21047859; 66930553]; [13949563; 89511635]; [1754029; 27128459]; [23616239; 21256182]; [10182214; 43674755]; [73003682; 62054723]; [83648095; 42102187]; [4657159; 52639423]; [60901466; 59646291]; [22361844; 24586631]; [25768966; 6192099]; [68048534; 72358549]; [58846357; 60030986]; [71025239; 93131845]; [36873139; 21469275]; [67105093; 45787457]; [27207608; 66766643]; [9142830; 17188765]; [84405785; 5506779]; [76088096; 82528010]; [79082444; 57625155]; [14762618; 11924942]; [54382733; 24059835]; [66069913; 25600509]; [36798182; 16598069]; [96319307; 25738073]; [52204675; 67119240]; [69915698; 41778361]; [75679454; 8620902]; [82420905; 87343228]; [21510652; 27921431]; [56242162; 95593279]; [87055316; 96665798]; [44276656; 40181348]; [5275464; 20374454]; [16685558; 722070]; [76435155; 60089736]; [64621079; 68586105]; [98204086; 84187336]; [22312710; 84835572]; [74654031; 4206002]; [74435307; 90283484]; [35732640; 11447873]; [93099517; 29285786]; [12784022; 86003435]; [49740443; 39238519]; [13498328; 89311025]; [93323318; 33583499]; [13536026; 48936189]; [46420195; 95547531]; [45141546; 11874127]; [42682382; 77902806]; [33036454; 17254785]; [77763086; 10714486]; [3783965; 56294937]; [20573501; 25881934]; [89460120; 74283743]; [44543132; 69532203]; [87666615; 96107506]; [11801092; 40356873]; [36599184; 15417048]; [9085665; 6567456]; [42258211; 74546014]; [17559369; 12386697]; [49186829; 42837011]; [85354313; 66591909]; [91875737; 50331150]; [22212275; 37481965]; [52214280; 21863587]; [61555073; 45541013]; [3765693; 34710843]; [90277840; 659264]; [17486633; 81357842]; [38146076; 699989]; [83196187; 70740169]; [56559254; 82172444]; [89132880; 13741222]; [32045104; 28278979]; [90095964; 68480448]; [80594283; 45260245]; [42905266; 64582132]; [5021102; 36631215]; [29030413; 70849379]; [74634940; 94023620]; [88938670; 3835756]; [46493218; 33465952]; [8058293; 82581571]; [58197697; 1383302]; [14104224; 35575347]; [46561659; 92259820]; [59067165; 6412345]; [64190543; 51713262]; [26062670; 95845237]; [77549811; 57653063]; [62081058; 34976238]; [69488801; 11314658]; [54067464; 79002912]; [24592649; 5059999]; [99498577; 27780102]; [32233606; 476526]; [69345017; 84806022]; [89532076; 2417532]; [80663589; 74386494]; [2729346; 21876742]; [98781052; 70964304]; [42081362; 89894055]; [24104664; 16625602]; [53883533; 36135827]; [87327284; 98995268]; [23890084; 18726748]; [4772862; 61735581]; [36747097; 20543426]; [17790060; 72833062]; [71420187; 25161823]; [19691995; 8956255]; [5226199; 81614489]; [65678680; 83304949]; [11984263; 24362599]; [56485102; 58935287]; [81779317; 72712428]; [31380457; 37764868]; [75189183; 41244361]; [79657555; 66799971]; [51711965; 45015814]; [8005046; 76843833]; [25276328; 90363521]; [62919624; 42187256]; [48527988; 62760825]; [70296601; 7316003]; [93126309; 32966136]; [38447910; 7100901]; [28741728; 17685618]; [27000223; 21711118]; [75990976; 38524198]; [69711261; 49486032]; [48390633; 51638403]; [77054901; 20848999]; [92441036; 49804254]; [82855051; 37548743]; [47254426; 7627688]; [89135082; 50180924]; [456896; 21259867]; [19727883; 46604376]; [13397700; 14980585]; [61040369; 7390628]; [33230122; 40345858]; [43524712; 68618991]; [99738248; 74276528]; [31607605; 2726828]; [46517925; 272840]; [208226; 41040258]; [26485466; 3675427]; [75727937; 59766855]; [19741378; 32416280]; [49465241; 18857341]; [40638589; 83870282]; [91819658; 52614269]; [42311086; 24130829]; [2330949; 94596468]; [68839474; 4245806]; [8814670; 22029728]; [78095276; 47175627]; [25222363; 25199083]; [40058898; 29529449]; [26800676; 91122851]; [19783699; 97275277]; [1648700; 76778709]; [5296652; 34606238]; [85587349; 90366160]; [43100083; 99323066]; [20473894; 88103977]; [43180648; 2219401]; [76572260; 97215317]; [84782588; 80316732]; [4823505; 24782821]; [7999658; 27428237]; [61068850; 25660837]; [71392640; 8930200]; [91644484; 89048951]; [28140247; 17243911]; [73789624; 14776541]; [25859854; 2745947]; [83084600; 8933511]; [93738143; 90431080]; [88424371; 94595051]; [31514192; 50961057]; [96056161; 69883703]; [3758518; 55278975]; [98852140; 54130755]; [36550658; 36376417]; [31318832; 782338]; [80892868; 72619082]; [62741418; 99660783]; [6529024; 55288209]; [93271763; 37351591]; [5231939; 27003849]; [83688239; 51999389]; [53572895; 407725]; [48907666; 60973535]; [21764166; 37269070]; [9734575; 63672880]; [85157303; 98951974]; [22712967; 17209365]; [26677711; 28365726]; [41207219; 27302884]; [65509014; 26237980]; [93044788; 93975714]; [1569016; 58941581]; [77676068; 67341276]; [30382783; 59780534]; [13845380; 73803000]; [44247428; 26432839]; [30872434; 91383680]; [11369687; 28898593]; [61381356; 7104938]; [22966059; 46842115]; [86071571; 61181219]; [39275614; 53630307]; [60852743; 80677605]; [63337221; 13986519]; [34342745; 75811215]; [46897132; 63286694]; [62938749; 204867]; [14023564; 37199586]; [54392271; 80925586]; [2977566; 70993386]; [12034419; 92015604]; [65902648; 65012626]; [49899784; 82571927]; [75434929; 83350369]; [13246251; 97079084]; [46809122; 39146364]; [40938297; 72574369]; [30130629; 37979797]; [60042630; 18847065]; [73613054; 47503858]; [30435806; 95124777]; [82473532; 83951513]; [90077326; 72332207]; [78850096; 21204945]; [94107953; 83769113]; [24084758; 31594086]; [66720964; 47091094]; [65752353; 52332932]; [50434479; 20005424]; [40556320; 74914871]; [69721913; 51110007]; [18031054; 97628988]; [48921910; 14529610]; [55210682; 48995541]; [76936189; 69594437]; [787329; 81105426]; [44744003; 4164211]; [79886266; 72822638]; [48938928; 80799440]; [2067804; 28215610]; [69743130; 41217783]; [53709194; 51038143]; [20771939; 37428785]; [69270198; 19733454]; [54653231; 56051254]; [27083823; 48506683]; [34285919; 58927630]; [29612605; 29178394]; [11347901; 7725257]; [87481533; 11076021]; [44547898; 5416976]; [66334183; 83518881]; [5333084; 64139727]; [17486713; 81353535]; [61306390; 38011959]; [5011167; 6119551]; [60922014; 72803511]; [52989953; 28391548]; [23178706; 95301525]; [52812569; 25391063]; [61871696; 69207745]; [91157919; 54001018]; [9758093; 24994014]; [63483288; 11709327]; [29907526; 18916105]; [93214936; 19917807]; [83520512; 1556603]; [87779185; 8412419]; [96189121; 34038364]; [60452754; 39818571]; [15076045; 91250206]; [88381534; 83847089]; [23203561; 41104333]; [20254141; 60117703]; [63320969; 38525072]; [24996911; 72623306]; [82868202; 78511851]; [5023781; 1780795]; [70601075; 35012703]; [72635715; 23854542]; [8039578; 76458027]; [77039588; 71022278]; [31341444; 20318455]; [4413841; 78181084]; [41803578; 12193642]; [82252355; 56581073]; [31009213; 17455621]; [77033943; 35315417]; [3479890; 53365501]; [93461688; 76145395]; [48336786; 46015957]; [10355210; 53144288]; [96291782; 16041414]; [9571219; 67941332]; [85519626; 59360677]; [75914908; 16383944]; [10090025; 54156690]; [48834725; 89922647]; [50965609; 65520097]; [63326788; 54539323]; [46548825; 44975140]; [39080209; 50563852]; [30544723; 18676985]; [63354502; 49526208]; [49619246; 63828069]; [95064635; 15705543]; [63113425; 45285869]; [64264223; 91355911]; [13180959; 50820438]; [60965323; 78924880]; [52322078; 93821786]; [39479082; 49508006]; [11635539; 68165541]; [84140506; 88389483]; [50687930; 32327466]; [53240709; 10669810]; [30578991; 80102213]; [69877763; 27336947]; [10903871; 16818957]; [30080849; 52944289]; [50671334; 81517945]; [83327723; 87731797]; [55571981; 20380572]; [880371; 53959285]; [8341435; 56444381]; [37890382; 23152104]; [40644374; 71881498]; [78736817; 44999939]; [70202355; 33879973]; [12178999; 69395622]; [23474674; 42840840]; [10668445; 76574129]; [79696193; 28538711]; [87597040; 44843658]; [46704050; 38976094]; [21550348; 41890878]; [25531623; 23661445]; [11631293; 47617877]; [13540664; 93645785]; [25128102; 31401994]; [28462463; 73924056]; [66782867; 25571593]; [51246525; 16884919]; [67086542; 88942194]; [51899121; 9334352]; [54703642; 45674848]; [12483264; 69659776]; [87926716; 50374443]; [62268458; 1117332]; [74714586; 62333779]; [78289519; 20551910]; [68561288; 68856446]; [31289802; 23896977]; [3124933; 58330823]; [82388117; 37804591]; [46818002; 6564807]; [10235954; 42051655]; [71646555; 71493527]; [17900098; 95268614]; [91801399; 77665531]; [68465048; 58680122]; [22721379; 2097277]; [46320751; 6571590]; [2194354; 80512038]; [30778515; 31612761]; [7238661; 65927424]; [79797557; 87299841]; [94930159; 83873878]; [43616730; 16910605]; [28769167; 2310950]; [50959518; 58699922]; [52694250; 19798977]; [85499892; 83301495]; [50245110; 29362280]; [90196750; 68788935]; [28878330; 58592766]; [1465006; 83904148]; [5084512; 43153432]; [27971086; 69271637]; [72692804; 63173005]; [71790387; 54903192]; [2213381; 18506317]; [54251542; 86423652]; [30282102; 73357083]; [13522639; 55956395]; [35582697; 55199788]; [91709809; 46424066]; [19807209; 3228345]; [82917994; 61891924]; [4938303; 5542692]; [45090365; 50167821]; [19127893; 24507566]; [69540632; 86015309]; [14882376; 34887485]; [73630146; 46549263]; [63667879; 12613477]; [53084596; 22357241]; [28684052; 21969637]; [93776481; 53047828]; [53681873; 77137600]; [86528524; 78482755]; [49880567; 92207881]; [89712948; 73302577]; [84887634; 93705203]; [62120247; 30191685]; [79222414; 22793479]; [90854056; 35141322]; [10577777; 39263961]; [85635225; 15620367]; [27689234; 36835789]; [86774127; 38186266]; [39547119; 39489083]; [76958198; 91066623]; [62693165; 51808189]; [97883600; 54741500]; [78935534; 31877190]; [75902997; 71615089]; [94002015; 97484146]; [57803530; 71612244]; [84136225; 37522643]; [90386564; 31163849]; [95501173; 10400325]; [28161215; 54732097]; [14924764; 93323102]; [44049556; 1929682]; [43898078; 82142654]; [69647812; 54105913]; [90184127; 97382948]; [82332926; 11149899]; [94054559; 5209581]; [23513768; 72818114]; [70640285; 33607943]; [72276773; 77218829]; [4861873; 76015391]; [3197066; 27888198]; [78134605; 58031786]; [14312763; 63658537]; [95951451; 53961977]; [17582575; 58794389]; [38275976; 27541604]; [71136740; 72710582]; [24275852; 86020548]; [28418832; 99966792]; [96647042; 71016164]; [88996798; 29347835]; [59545494; 69030390]; [51165036; 80518133]; [17918707; 5095836]; [25410139; 46210558]; [91346255; 2702140]; [4125369; 89801812]; [87229991; 12594412]; [98005173; 64355669]; [33732727; 77057813]; [23592294; 2005012]; [2108608; 29451095]; [42723749; 18331916]; [43081683; 94246565]; [88502827; 16182072]; [89474136; 28226037]; [14313630; 78541100]; [42778754; 42709003]; [13034777; 98359357]; [4516894; 12189906]; [75863820; 64570344]; [30608681; 12305475]; [96833970; 28595942]; [93028548; 53589919]; [57408770; 60447623]; [30324890; 55059753]; [97123068; 8123269]; [54621144; 45381350]; [53237803; 67358812]; [64464448; 38290993]; [60043404; 32925758]; [22663806; 32574839]; [83739943; 28907380]; [92886225; 31143655]; [83527201; 8004080]; [11663649; 71104682]; [35450825; 86949213]; [41274652; 8856311]; [67568302; 45901296]; [50617154; 33081803]; [22790592; 87534176]; [10737289; 46226089]; [90762656; 31431600]; [23023955; 58393360]; [46416323; 98801727]; [56148105; 75275712]; [21950880; 8385302]; [39265613; 7297750]; [40575438; 71545844]; [79530213; 40035532]; [1986469; 94145953]; [67817853; 69059467]; [74915656; 55673562]; [19324517; 13976544]; [70757536; 97543226]; [40811098; 62077901]; [28500031; 2189589]; [83823914; 90359222]; [30830848; 47366164]; [60321205; 23719999]; [39591052; 41783330]; [89728244; 26546365]; [97720581; 61559845]; [79828742; 42143547]; [5147746; 63396993]; [51525409; 37045578]; [33343048; 90389867]; [36237312; 94882760]; [48770203; 61505093]; [57153969; 85362984]; [45170245; 94928443]; [3327218; 36357728]; [91609747; 7203694]; [77114972; 79193054]; [91429284; 89891636]; [51205870; 64817025]; [6938177; 5602569]; [23720010; 57099282]; [17213711; 1971463]; [40584685; 78486245]; [88969960; 26794371]; [20863396; 2070645]; [36081663; 32815038]; [72321197; 58925144]; [32030030; 88434481]; [93657942; 77401488]; [1899322; 70640394]; [84303916; 68664709]; [2841401; 97494426]; [70485731; 63890143]; [46900397; 7090266]; [89844953; 95020075]; [40415243; 40580229]; [19383886; 84789736]; [59160301; 9646816]; [63537756; 18465607]; [3195808; 83526649]; [13398101; 38957397]; [47215374; 31090847]; [58899960; 59973540]; [13216631; 82018477]; [86280541; 27846437]; [23311162; 17394629]; [56989615; 87244868]; [36392204; 12869866]; [17405295; 38727234]; [88131159; 31201287]; [80468622; 30912056]; [41825511; 34449784]; [45149066; 9406115]; [17863900; 29686269]; [41730902; 27521277]; [13696134; 98494763]; [55385714; 77009404]; [44319305; 59443827]; [69398140; 90691048]; [39666396; 58362893]; [86696046; 40600813]; [78329719; 69681951]; [7808758; 26213161]; [40574768; 98356765]; [13563738; 89859842]; [27941714; 13933026]; [25734097; 4304462]; [84930075; 41736762]; [51046516; 2103129]; [43486718; 13472208]; [41169101; 29777065]; [75354865; 34179828]; [76573265; 39473090]; [83771971; 54047689]; [26520815; 66195352]; [1966850; 44997595]; [90898037; 22682971]; [1323387; 21481190]; [9947734; 42408197]; [83397455; 3657626]; [20384822; 13035305]; [76103118; 46056714]; [92138583; 51134063]; [17695762; 49596568]; [76062679; 19915364]; [72163154; 63527955]; [84199248; 68332246]; [6272129; 72529532]; [59623065; 12795201]; [79923713; 26059972]; [67865880; 47575714]; [53553858; 31277135]; [2223290; 96742106]; [54941766; 45594070]; [60853251; 3979589]; [4346601; 82015301]; [21158919; 55251680]; [15599571; 42817075]; [56932694; 21042710]; [27869103; 61381660]; [91072032; 44040865]; [48485168; 19589030]; [67225127; 80472154]; [77457929; 63204981]; [3902531; 60147346]; [3968030; 90183552]; [8592967; 93015925]; [59810757; 4065290]; [13550286; 89629675]; [20834954; 6020310]; [948765; 52158551]; [96202859; 67627262]; [18364300; 93322551]; [4901425; 61611695]; [67534252; 66627458]; [53009168; 97738625]; [71514862; 5881251]; [48203424; 8897982]; [80723564; 14905558]; [26092022; 75404543]; [84228936; 5814595]; [31703689; 73099002]; [92457756; 7516253]; [99341204; 40705988]; [92582742; 70665850]; [62298261; 86978943]; [29641993; 72757905]; [56271915; 85367164]; [52753368; 3841874]; [97196513; 54644186]; [66358788; 81396760]; [99393732; 51520188]; [89350847; 78104151]; [86305315; 16421801]; [32623281; 60618458]; [49124847; 77828507]; [45665804; 98853787]; [80756320; 52705535]; [64925438; 23655107]; [92796837; 11848975]; [4345218; 3342223]; [53773923; 86797530]; [95119448; 99300951]; [52081052; 79539333]; [83265492; 94722672]; [48035352; 55613545]; [17338732; 59268333]; [89791012; 68000864]; [16803694; 69367801]; [92153189; 61333917]; [45300607; 5067753]; [42817675; 50783434]; [84930187; 52399771]; [9573122; 7868842]; [2427926; 45489636]; [50870541; 11535584]; [32106504; 64424868]; [54511712; 48226083]; [73521355; 71690540]; [61368046; 28161124]; [31321102; 20212821]; [34092252; 37762072]; [55541322; 70167804]; [42594005; 24934700]; [69658346; 40441664]; [15158425; 37152759]; [24553109; 26780750]; [71309581; 59121883]; [29154552; 2913736]; [32087420; 15348259]; [54722805; 92717402]; [74801885; 38694643]; [55424728; 60785449]; [72465287; 868351]; [3955723; 56033265]; [47305022; 34161352]; [81573666; 26666176]; [72716247; 15575930]; [74025097; 70117969]; [79039161; 19828878]; [65423917; 84735052]; [77337029; 32143568]; [95374493; 84181961]; [364121; 88872626]; [36972235; 71321644]; [27875960; 39310379]; [24534763; 91386025]; [8329496; 52330263]; [41541446; 40864330]; [16142059; 25806813]; [79412566; 46224038]; [50519512; 54194601]; [43970269; 74066474]; [25059154; 78609857]; [57335483; 12548534]; [28160414; 65619603]; [20534474; 31815948]; [88865931; 47843781]; [15663197; 93845608]; [66819621; 5102239]; [47429004; 18071717]; [47452638; 42291905]; [38554410; 33681000]; [4302894; 16758438]; [39410188; 56388327]; [26055270; 35466851]; [10816616; 26415931]; [94588356; 63917081]; [37862031; 42580472]; [2049992; 98371959]; [2455663; 13188403]; [13166019; 64147850]; [13025352; 17831847]; [50307776; 19167977]; [6387202; 84439683]; [21353584; 87701131]; [30115134; 55353521]; [57735845; 36234292]; [22933325; 39562535]; [48873331; 20511604]; [88204125; 61325110]; [22376919; 49139114]; [81770186; 40890810]; [8380832; 75534161]; [95306790; 85167816]; [55883154; 31488588]; [66183919; 79762985]; [52065496; 72858996]; [98342481; 1201770]; [83243771; 93137960]; [6735544; 60899245]; [51278280; 63596167]; [6871834; 29684533]; [25563707; 89171860]; [15235705; 59588894]; [34166962; 72159984]; [9565957; 16716292]; [36753047; 10744495]; [73372382; 10527490]; [91813083; 60688489]; [34213902; 51730670]; [39828988; 8865228]; [56597348; 33493646]; [19444808; 22607223]; [94059332; 34233315]; [7968331; 72411761]; [95692840; 65416122]; [19524715; 6867444]; [27909456; 15259676]; [64174947; 14837342]; [75165070; 49033345]; [16405542; 60626155]; [58724818; 57671630]; [51754297; 60790188]; [5778613; 3536255]; [57406145; 93070448]; [30850397; 61275497]; [60356004; 73514924]; [93968785; 52473484]; [88751421; 58280540]; [23145829; 61920770]; [98235126; 61911974]; [76032774; 92435972]; [17582603; 98754821]; [93404859; 61905813]; [6544781; 41000299]; [65401710; 60135752]; [99752918; 66235336]; [114612; 26919826]; [11265667; 16559880]; [54142144; 27192968]; [7492747; 43860189]; [80879080; 9505846]; [88009659; 3973813]; [37777534; 53655344]; [81541446; 97279095]; [5236408; 25185657]; [26245816; 49539799]; [53585818; 26028066]; [67925626; 63964406]; [91320633; 91976855]; [46861932; 41229695]; [22012886; 1280792]; [75486053; 66022810]; [2843565; 8154221]; [98174901; 19558932]; [87021175; 85629502]; [31620944; 92345966]; [9688416; 85949867]; [36055282; 62680279]; [68925010; 81336742]; [31881024; 78316623]; [15625824; 19672831]; [76250189; 1995559]; [7227786; 2639802]; [85056582; 14372079]; [66219184; 44042504]; [12147022; 43794411]; [81311595; 96085917]; [77330283; 13162269]; [79692462; 45502341]; [54408934; 5059670]; [64602149; 57438761]; [77981491; 92382454]; [97264595; 71854856]; [46922188; 45391136]; [84014015; 43339107]; [93391421; 64929060]; [78040581; 67911472]; [34342857; 70531047]; [97569514; 19854605]; [463239; 48329547]; [43416667; 52525489]; [92035663; 23722959]; [23762107; 57387707]; [75775412; 63835413]; [24037640; 38675564]; [77777499; 91184771]; [93862291; 39041327]; [19383509; 41202986]; [6275344; 66068689]; [66974756; 74319604]; [44106977; 10212549]; [13049229; 79196358]; [23294913; 10981505]; [96357396; 88862809]; [9629871; 15671293]; [21398630; 5500670]; [38589694; 87490282]; [48029351; 28350943]; [37545113; 33947621]; [66203586; 58102595]; [52549249; 64320150]; [60496805; 19401883]; [52931383; 82755857]; [87888260; 67350364]; [38913966; 11969136]; [72815753; 18023783]; [51953735; 15320990]; [58998338; 30656278]; [60030525; 19827288]; [8735718; 43952460]; [83564746; 77089057]; [10048947; 53859167]; [29391658; 71420308]; [59333007; 45091423]; [13031432; 72877345]; [55672028; 62105011]; [41261327; 19165879]; [72096848; 62627970]; [80501160; 81093471]; [1621341; 92462276]; [43897991; 49211632]; [99259871; 2835253]; [847815; 66663649]; [2813395; 63437501]; [59771854; 43068352]; [71278077; 56271616]; [95608003; 64764754]; [36711761; 75002431]; [31403107; 14505996]; [79556897; 46150888]; [8433172; 99807047]; [17245529; 2543488]; [79903865; 56755804]; [81204771; 8108587]; [40971371; 67218397]; [38278306; 77208372]; [65590445; 37705658]; [11199904; 63942689]; [99162006; 35382902]; [65739912; 27047358]; [47677978; 4070720]; [77621064; 57599739]; [79448734; 16313673]; [844069; 73416549]; [76207549; 5221914]; [78469392; 9842177]; [65642661; 21329154]; [65786275; 31113979]; [70283340; 14648229]; [77496427; 77005410]; [29989981; 40918473]; [39187079; 98387943]; [69852433; 40960132]; [61908005; 75594466]; [96540548; 84722506]; [42678167; 67665693]; [21766433; 20876942]; [91105192; 54079004]; [63991698; 35233181]; [71896038; 70287890]; [15870608; 78739544]; [18205882; 58722970]; [9228562; 16895763]; [91770290; 22374877]; [25232262; 79352183]; [73787488; 12051230]; [23698279; 26355011]; [52119411; 10590623]; [78870132; 91348998]; [94563737; 81096038]; [15575610; 48269545]; [44462589; 42168831]; [32798653; 88309317]; [5067835; 98932683]; [93887768; 93980436]; [97097341; 56574660]; [36956964; 48910021]; [93534766; 78272472]; [1963438; 4456415]; [77751840; 94691874]; [74198490; 34575421]; [16416832; 7302759]; [27415168; 54998271]; [44367968; 38926055]; [54557289; 72070879]; [20449635; 33662969]; [92597984; 5272506]; [10667080; 50810451]; [98007921; 35770770]; [81970730; 88387234]; [93513182; 23555602]; [86242944; 86158849]; [96916097; 70831713]; [39016501; 33185840]; [14588934; 80786924]; [3157226; 66124879]; [54770153; 67326715]; [16688820; 32862524]; [21806076; 99865858]; [94995586; 41029026]; [53919867; 99234279]; [19079272; 40938815]; [73086979; 33659675]; [18654819; 27429510]; [1351523; 85272169]; [41068002; 89038641]; [44067877; 71783676]; [5287021; 90952582]; [25072682; 6414262]; [86978928; 95660190]; [96200751; 69772232]; [51464501; 29725195]; [96320266; 31675680]; [92050392; 43746645]; [37363900; 40227205]; [25757112; 59647034]; [74064925; 7603187]; [69165627; 18614889]; [82426143; 3852498]; [8081848; 18649354]; [47644465; 72542980]; [81871477; 49728983]; [48431921; 65111303]; [48665003; 96941503]; [92504555; 73771459]; [29141042; 3149213]; [98405287; 24190596]; [36858317; 24166493]; [64842105; 57066930]; [46034681; 44807143]; [7966489; 42867309]; [22264127; 68211325]; [82005763; 13229659]; [82659990; 71809470]; [50988200; 61352177]; [57972836; 11703131]; [99113723; 40505120]; [28387293; 5202696]; [96441776; 98925435]; [67368648; 37429871]; [6267981; 99916189]; [6670635; 93686621]; [46453994; 21099539]; [74463442; 69253037]; [92331280; 38856984]; [74853014; 56547500]; [33162198; 76168844]; [78028895; 95342815]; [61440910; 82024331]; [24992473; 31580877]; [33362359; 1677842]; [17173430; 23253676]; [2445495; 25613944]; [50390248; 15819074]; [23397402; 10269341]; [79261628; 39430455]; [83301138; 6214939]; [49786804; 53872394]; [23146709; 71216057]; [83344087; 15161627]; [98543144; 59151758]; [42945977; 45106867]; [84532626; 5479483]; [36844790; 62171927]; [54945261; 91210735]; [51064311; 20049786]; [99487503; 21902045]; [81597901; 9665609]; [91853076; 68511284]; [1222475; 24429786]; [93385427; 49387846]; [34193671; 77023790]; [18198282; 75640251]; [57988849; 23743809]; [46430635; 17731627]; [18695252; 88768380]; [45987720; 65297560]; [55607204; 55084871]; [99341733; 41616249]; [56755667; 56038988]; [93813516; 79804282]; [25950414; 14907040]; [82668743; 65143806]; [9444370; 70215896]; [58750654; 63046062]; [24961892; 60670340]; [67466082; 40377991]; [95804483; 63514177]; [99866644; 16420147]; [2326461; 1712139]; [1304147; 95828735]; [74948251; 23758673]; [67693249; 44417492]; [18125352; 27596106]; [12006940; 32668039]; [59217053; 33763445]; [58521229; 40726538]; [85754278; 69550297]; [86998203; 92613093]; [11147209; 86267434]; [63964357; 6417506]; [29200813; 76991077]; [53969118; 49362525]; [10219842; 64998241]; [37520395; 26324992]; [80109726; 60662170]; [17357162; 5910832]; [72093501; 73483983]; [31456868; 68668804]; [51664745; 29215870]; [15817504; 7643221]; [60626388; 62306197]; [51518517; 95181991]; [19487220; 37673771]; [98910804; 88708967]; [9055112; 89274369]; [93038586; 30654454]; [23757048; 13461281]; [92427785; 33651644]; [43963041; 33744961]; [52921966; 37209708]; [71567658; 70232128]; [88006480; 87018532]; [2761671; 85989272]; [89017646; 41643954]; [36058139; 49048943]; [33846379; 41819581]; [48944325; 47606148]; [41465214; 11561210]; [85832079; 65373424]; [55168664; 98212970]; [28628478; 72636918]; [17162248; 42896087]; [62685194; 46107936]; [75167988; 45754561]; [5368317; 63467921]; [10555415; 44448114]; [34628746; 10391392]; [65904200; 52131150]; [3686707; 64385389]; [95038808; 77226953]; [6823046; 35636807]; [96013195; 86459971]; [35991176; 78596954]; [78952190; 95675734]; [25946851; 50510636]; [22129721; 68206161]; [42262625; 95176790]; [68653687; 97172419]; [91223327; 48803627]; [8634493; 92632485]; [12747606; 67843560]; [89564419; 13137181]; [57207017; 672531]; [2509121; 24970439]; [77472066; 96179059]; [45393400; 9725311]; [49809994; 77281326]; [85715512; 60521451]; [85975660; 20315118]; [32477001; 77718819]; [4346108; 60820845]; [69913651; 71998951]; [17599832; 31607016]; [41458203; 49585888]; [44168510; 47866599]; [27610990; 3268249]; [23438942; 12235187]; [61473147; 51300675]; [74211290; 92535418]; [13952723; 43561470]; [39124205; 32491867]; [29148960; 16722966]; [69860104; 48684349]; [2533055; 81000183]; [3701371; 14555656]; [5712184; 26283291]; [45377745; 28351608]; [20123554; 80583553]; [82469859; 15619118]; [75891370; 81074663]; [13522652; 81201174]; [5836241; 14689510]; [16290151; 27850174]; [5102895; 69688550]; [19861795; 7806935]; [32081501; 65471821]; [23051015; 60712595]; [85890837; 39604721]; [96490844; 78453397]; [52085023; 698659]; [65432079; 26467961]; [74969871; 3896978]; [37661931; 96790810]; [52051482; 96886329]; [84912088; 22653453]; [7431261; 51022611]; [28180303; 45263803]; [13853486; 49574890]; [58302225; 81285633]; [80216744; 26675615]; [4715251; 29093851]; [61112374; 47756562]; [3081345; 60817781]; [36853870; 92686023]; [70160074; 19251893]; [50927279; 24435562]; [70514992; 7729424]; [77957091; 26041088]; [61984842; 5025739]; [65018823; 45524901]; [82839154; 10037214]; [67628793; 22042205]; [70851289; 18659823]; [12443789; 94266157]; [50522185; 93084102]; [50342009; 17614184]; [33580535; 39643049]; [82184057; 84696709]; [77918992; 186708]; [53949605; 99277530]; [65128008; 88422721]; [69390878; 9639876]; [2197565; 53389869]; [6611786; 95843658]; [48847549; 54010318]; [67874049; 9152339]; [827550; 27326343]; [39012410; 58425436]; [61569827; 93005292]; [25898520; 99292827]; [78202958; 25900581]; [60137895; 52529431]; [22315672; 34162876]; [2193095; 56652856]; [46155858; 32238976]; [48169743; 36324189]; [41299840; 41597387]; [27659427; 77424401]; [14100184; 62237807]; [97196486; 82102758]; [97477943; 52562886]; [90119490; 80506778]; [80404151; 23552001]; [12438371; 97011224]; [76504122; 88283610]; [71839160; 76423002]; [61697668; 69446171]; [63354575; 55442597]; [12672913; 39869683]; [73382050; 52123412]; [39774042; 63199273]; [63200460; 57149040]; [61208943; 1055754]; [74199446; 28530210]; [78646345; 37655752]; [69198836; 22022738]; [66782958; 2976748]; [54909452; 54551905]; [12570784; 71217305]; [38268370; 97259364]; [33233816; 46905468]; [27432523; 86472587]; [24938631; 90739946]; [49101854; 27360480]; [47554352; 70007492]; [88111191; 10315344]; [13390298; 95616722]; [60609558; 46438876]; [61779360; 57277332]; [45769989; 85156377]; [77493736; 62700412]; [95834522; 42091589]; [58555877; 43149462]; [15298352; 68266185]; [83533236; 68462318]; [42621759; 53128252]; [27579915; 93353948]; [17338191; 62230263]; [17292223; 79958590]; [18430087; 91863064]; [28514603; 1021159]; [66746450; 21449032]; [21428347; 37800867]; [97650953; 93235548]; [57953909; 78913042]; [23402542; 86694824]; [18602996; 70223094]; [17023468; 10257503]; [10395296; 18705018]; [63728259; 5682282]; [64963585; 48593325]; [25553225; 26811126]; [96292320; 67060344]; [64798025; 49765917]; [97789039; 80559966]; [63397107; 94833795]; [36883964; 43325469]; [43313291; 21030789]; [41450891; 74055173]; [16625439; 38313288]; [16476650; 21046505]; [41134141; 79484455]; [74918433; 98335467]; [18846374; 12349309]; [49883952; 61173986]; [10398943; 89544252]; [51198463; 64427]; [46422749; 70120742]; [94368246; 60368467]; [65984131; 10961371]; [54291135; 73667973]; [99655991; 577155]; [27712810; 71024591]; [73464671; 10484422]; [45312095; 53202751]; [3094748; 45228001]; [4842511; 38080850]; [27155127; 69495704]; [45363220; 87721095]; [7002498; 16401374]; [39346007; 51466013]; [2053136; 44566479]; [29647872; 69349318]; [40469767; 8231358]; [40007944; 52838234]; [63276784; 19087560]; [61918802; 23935120]; [13220800; 38591246]; [92196830; 819825]; [38013948; 5661501]; [18550224; 9032192]; [66849535; 23840584]; [49833104; 35204525]; [72149917; 61069192]; [98408364; 28194262]; [52271090; 5567692]; [76566162; 52736021]; [85874426; 53433287]; [59760101; 30250315]; [65905372; 71365160]; [48777587; 49431717]; [36066035; 18346200]; [87707357; 5879238]; [77774574; 40792026]; [47650691; 82539178]; [92818587; 47335236]; [35012839; 54994645]; [10533839; 71559386]; [14141695; 78553570]; [32317890; 49214294]; [7345719; 44782598]; [61305257; 15276271]; [21685150; 51754253]; [32634868; 26794332]; [24240889; 60477806]; [23241831; 48957572]; [17321143; 95642667]; [73585813; 76766964]; [30039400; 99071091]; [66369534; 34488361]; [70724546; 49114534]; [6218001; 26908066]; [93190819; 83813085]; [27654591; 75801758]; [59709748; 37325075]; [1175531; 16878089]; [86527807; 32544717]; [39383194; 19027307]; [17114469; 44186703]; [16041352; 99579821]; [20206680; 23479618]; [40892794; 66622181]; [18018221; 80186835]; [3578695; 40668353]; [95668405; 64308367]; [7245936; 52856680]; [77946868; 22322870]; [91526565; 16228992]; [16067272; 15124092]; [30359951; 38722603]; [97660918; 34776849]; [95071808; 96792686]; [42416206; 93593512]; [36007348; 94712514]; [67676507; 33658618]; [56571368; 94705104]; [14728674; 93349477]; [92213652; 36809736]; [25798985; 77824529]; [35612036; 401910]; [95169186; 73295955]; [68978131; 29773655]; [32602024; 93753371]; [58060572; 60940416]; [91381497; 59167490]; [79015212; 95071557]; [13403692; 47956022]; [78266631; 8126020]; [53733939; 58499785]; [41741562; 80813685]; [14029399; 70294372]; [14450954; 18731031]; [23608205; 7046483]; [90398709; 78937101]; [87773015; 92896766]; [2473602; 17089079]; [97860673; 42427059]; [52326924; 70449470]; [35365215; 24187975]; [19332782; 22979813]; [23506378; 89471202]; [40716060; 96713527]; [72624223; 18014016]; [70873994; 80397123]; [17465385; 97169774]; [21575864; 51074089]; [38964150; 52751848]; [71799462; 75187337]; [69138043; 42722470]; [54080374; 99457992]; [62422182; 65777643]; [13822918; 48597764]; [31873211; 53531352]; [28345291; 56150708]; [42017186; 29730540]; [33779513; 90522837]; [75017043; 2963902]; [38395841; 42115771]; [49807598; 42484934]; [64345242; 98099105]; [26622083; 31243944]; [33394783; 21810738]; [98944008; 23966826]; [87662672; 36992895]; [20945269; 24839576]; [61505929; 93582490]; [17339650; 51679100]; [18666573; 12412012]; [72257430; 78493995]; [31535255; 4343378]; [77705788; 11181168]; [85794547; 59308393]; [72274495; 85518511]; [33022515; 62537340]; [77082945; 89814457]; [38009488; 15694165]; [80914933; 43580565]; [77727909; 67169986]; [35104226; 47436243]; [47620979; 3753693]; [84650788; 38249140]; [43010266; 6910312]; [24897619; 30472203]; [8641777; 76877487]; [89770076; 66126739]; [3532021; 36646682]; [72337994; 59773632]; [20930129; 56193417]; [45549487; 2279338]; [30341577; 53400975]; [85953842; 13945995]; [26639565; 87577046]; [67665239; 57426261]; [48377266; 74788877]; [60874588; 30744276]; [62459127; 9472892]; [96665566; 5506193]; [41933652; 45888981]; [71364274; 59460275]; [86517992; 22154870]; [75936244; 80789022]; [2219973; 33200308]; [42381791; 6334164]; [66125309; 6611170]; [10066834; 65181421]; [64922895; 12017338]; [58506631; 35785474]; [86741725; 75725573]; [50199650; 24748025]; [8418033; 97753126]; [24690331; 64360616]; [63498598; 66457767]; [96268818; 27151009]; [46567824; 24480469]; [79510369; 72398630]; [31359910; 2952046]; [63333311; 46631871]; [9654475; 89485799]; [53081285; 28228269]; [61670561; 29978917]; [98351597; 19630903]; [4779741; 88346029]; [19283532; 98839184]; [13700405; 31560428]; [21564960; 8780851]; [75715580; 45358220]; [35769339; 17364688]; [34814411; 91253545]; [98400426; 40422866]; [7803226; 69462953]; [12697551; 19889717]; [12732380; 92834421]; [35585593; 24402619]; [99480351; 10547437]; [80172657; 49119541]; [67211569; 95184021]; [34075251; 26311294]; [98734836; 64794819]; [10138393; 65004317]; [57374343; 38125012]; [42064698; 84284810]; [46023053; 80271889]; [52265187; 90491001]; [14503858; 16374724]; [71358953; 66520441]; [39779883; 89159349]; [25230055; 67159215]; [89651775; 39311284]; [12544707; 72831356]; [87632031; 72948540]; [36540831; 1849043]; [92427480; 43427888]; [95321882; 61720527]; [78788084; 60754680]; [40714579; 20190071]; [11335807; 43288692]; [95445628; 59253096]; [59779336; 22126922]; [72245604; 89187071]; [51579157; 28667881]; [85744964; 64429136]; [95352023; 71306850]; [82639371; 45345700]; [16010448; 14012691]; [99566043; 80543965]; [30403952; 76188648]; [87879829; 28850159]; [3118757; 32855623]; [9475125; 63602569]; [5710736; 11998306]; [9442935; 72295740]; [84712194; 16595306]; [26262009; 98105610]; [2780515; 63907714]; [61465467; 18676595]; [76517934; 77085136]; [87346390; 54723112]; [43440797; 40360546]; [46303577; 28474918]; [83133131; 51819998]; [86982631; 72549990]; [69180503; 78371719]; [33828833; 28072512]; [45974233; 46031464]; [28572090; 39687769]; [84561644; 27067013]; [15974414; 95272156]; [98032743; 95544876]; [80870766; 89286826]; [74043831; 51403435]; [76285946; 36717458]; [22025254; 2701921]; [50943897; 40733098]; [47094832; 45147748]; [46438363; 66586518]; [15415931; 64159044]; [4646705; 57728691]; [97809712; 95537746]; [38819945; 70917400]; [32246211; 54299248]; [75187686; 65771367]; [13340742; 15072967]; [59018879; 76598345]; [59611629; 44134517]; [66195787; 8963874]; [25149688; 45566461]; [83461954; 69046503]; [93482928; 23111027]; [70866641; 92943283]; [58351363; 9211166]; [35734698; 67710306]; [56390981; 45270929]; [10673554; 25773113]; [38910077; 38951076]; [41130790; 549465]; [12531279; 22889839]; [43620311; 51108221]; [80244531; 51950867]; [32668429; 2749859]; [66824252; 4338174]; [79782661; 79545044]; [50619167; 36498980]; [32199560; 64303132]; [5128135; 21976260]; [32324854; 20516136]; [88534443; 64236585]; [50020257; 87138013]; [93186546; 7352457]; [88527451; 53201555]; [90346959; 22043644]; [50210857; 89550558]; [67082032; 91778913]; [66616566; 86027633]; [27654376; 53149053]; [95124659; 58800344]; [31743037; 54998277]; [57797630; 10257927]; [31980589; 27220787]; [89993721; 25153658]; [30440527; 51531964]; [65347464; 88935845]; [98924983; 92031226]; [85780498; 15418191]; [5158405; 86635448]; [75666548; 77039585]; [17259345; 35781966]; [10576748; 35458924]; [1674852; 33619493]; [81151392; 37735667]; [50284059; 28558660]; [87672922; 47406602]; [99898897; 52392530]; [34136144; 80339520]; [71444256; 14021659]; [67404242; 27541741]; [54335498; 40199432]; [7503414; 50197926]; [84447385; 49336254]; [50106826; 29847829]; [73113784; 57044782]; [59861233; 42692023]; [11494941; 42197040]; [38113924; 93983501]; [12747782; 53163108]; [12779865; 87988146]; [64221805; 49366531]; [70250146; 91010307]; [90256286; 57664754]; [5068870; 31176421]; [46712760; 89279682]; [94603605; 96361924]; [13323040; 58900828]; [44524001; 61461306]; [373420; 18500166]; [8908681; 39524243]; [84445733; 28346088]; [45286864; 4092326]; [75441112; 83651798]; [71814546; 42382595]; [29538353; 70563651]; [91363002; 93707937]; [36295769; 14584996]; [31341495; 64580524]; [86340452; 68163629]; [54346714; 65062365]; [58755792; 19578982]; [51592522; 58421422]; [1473265; 9956158]; [5182892; 73682100]; [66290849; 40204361]; [93083466; 18410699]; [28788229; 26095223]; [52013970; 79580011]; [11002683; 95942376]; [7099328; 52514203]; [70674309; 11331655]; [38188856; 35099394]; [55083295; 43319389]; [84918558; 41971343]; [43594973; 24175987]; [88950242; 37683448]; [50605724; 18989865]; [15434348; 5741104]; [27855148; 23849874]; [80900513; 72459700]; [11622665; 9488324]; [37175785; 474443]; [80928971; 49857095]; [67760264; 82178331]; [90714380; 40615532]; [16663752; 95359997]; [19875075; 18096841]; [2274811; 24541069]; [89070986; 79139565]; [83398128; 49735297]; [49537817; 62189683]; [29607065; 20901362]; [19951923; 21015362]; [15025301; 48737830]; [88562387; 45349983]; [17438625; 98504278]; [66272445; 21304089]; [32183344; 57194036]; [81177526; 58869082]; [12363974; 71752572]; [14569432; 28882862]; [63836447; 45759018]; [34657554; 15826578]; [87505748; 32938751]; [94807798; 38809185]; [26548093; 615358]; [75509633; 82721655]; [60670057; 60163652]; [3789518; 75188291]; [11138383; 52746167]; [61953757; 82665126]; [96199750; 12186369]; [10327401; 99831689]; [44940413; 34269374]; [53114713; 52339687]; [56324332; 50226314]; [47237860; 331069]; [15514979; 5916225]; [24238235; 63761905]; [61841430; 83858356]; [73835403; 40848135]; [24368558; 85101926]; [52606221; 56500150]; [24973556; 50290739]; [99578127; 4646002]; [36296238; 21473383]; [79842625; 26662992]; [47724848; 24773897]; [67440642; 86637862]; [4644230; 83686034]; [87581979; 84052105]; [43401760; 32133812]; [65954878; 67215735]; [72503490; 87571100]; [38461295; 15595988]; [80241412; 37518252]; [32976161; 43920677]; [87923604; 60088526]; [89927668; 7014787]; [28317882; 65355483]; [28659817; 36266603]; [61799980; 64305666]; [63352121; 43950611]; [60698451; 9909469]; [35319776; 43031005]; [37903988; 59060463]; [35041623; 10800763]; [14847470; 74143673]; [69974524; 44445507]; [25317314; 89631361]; [34645665; 64637182]; [10997470; 49746409]; [82336770; 68520325]; [35721290; 80854165]; [66506676; 62022115]; [28981644; 37218370]; [17495854; 39455869]; [44949478; 2691169]; [12453047; 94904845]; [11260003; 39944796]; [64955867; 87286527]; [75540796; 97034571]; [42579197; 8318346]; [89632103; 59121984]; [23644810; 45389689]; [5474562; 65815074]; [78577438; 95415545]; [35375893; 72814407]; [39664595; 53699568]; [55063263; 56819177]; [69694358; 96056893]; [23729951; 43029566]; [22164783; 62415855]; [88007858; 19450826]; [66359709; 53614463]; [77354616; 98358694]; [29196789; 51804336]; [98041524; 98816200]; [29200789; 15764153]; [3856461; 18229353]; [71872910; 99133101]; [55947784; 23955706]; [99173763; 60068543]; [8865002; 57742962]; [1848572; 75513145]; [12382323; 39317671]; [30109002; 42885296]; [58172839; 86953513]; [19829339; 95292984]; [10061770; 69182959]; [83744233; 53102682]; [93124612; 23094496]; [97877511; 44473992]; [27696010; 29121554]; [4193709; 19640212]; [32539150; 53155584]; [67415382; 87180993]; [19996697; 78110959]; [57872346; 92675981]; [19909286; 54008592]; [50354338; 64262667]; [4385212; 7857024]; [78525997; 3422781]; [23249487; 60438525]; [69179285; 12537524]; [11395425; 80192315]; [37068135; 1804405]; [31039632; 88783722]; [37811494; 24147008]; [72025809; 98156817]; [84715727; 31385806]; [14096161; 80736891]; [79031263; 89511940]; [62706521; 12122394]; [82674388; 57052367]; [31978169; 84539506]; [20627044; 57369015]; [94338408; 8457537]; [32455011; 6320685]; [69871791; 67832789]; [11985500; 99078002]; [71177112; 73368790]; [78736404; 82313883]; [11600896; 83959531]; [30345017; 6378371]; [39323506; 55891567]; [77446522; 8829543]; [44647684; 76619057]; [95940740; 67937461]; [10693349; 93913415]; [65781172; 52201816]; [3760903; 28718766]; [7636735; 3961989]; [62396911; 56729857]; [445372; 75294894]; [38442428; 30895727]; [69971652; 64680000]; [41114497; 19506792]; [31260090; 41639567]; [27930264; 30427280]; [61901437; 57225341]; [47700858; 67257653]; [48840296; 77533905]; [40477011; 15081633]; [1969521; 97207474]; [79689603; 89651230]; [91130603; 42567103]; [27015500; 42858076]; [88745890; 2326953]; [88157337; 94934001]; [28199648; 6680853]; [19404727; 5563315]; [94470102; 53702901]; [18228140; 84278250]; [57569332; 43042788]; [29946900; 82305557]; [56016316; 7315210]; [10190005; 86923078]; [78924548; 77166091]; [89123845; 3223090]; [56660359; 12883730]; [47207055; 78194866]; [87528288; 10568075]; [98159370; 74313191]; [79203172; 64770345]; [15890564; 71726524]; [49980632; 19524695]; [68301680; 63394694]; [22431717; 90812793]; [26555633; 3688787]; [56694544; 86847528]; [6324853; 73291040]; [90885608; 2618256]; [82042930; 465746]; [23358605; 29379992]; [81341224; 83552669]; [69131114; 34347236]; [46837556; 85421470]; [77359360; 93167552]; [1180201; 23297200]; [18802655; 72066677]; [47099639; 26869276]; [347961; 84181975]; [19802189; 90940455]; [57062448; 91329315]; [26040377; 37567619]; [1715437; 80166633]; [93961285; 29198726]; [30222804; 38883507]; [56304083; 74890408]; [17135957; 64433885]; [60062126; 96697676]; [6776008; 39466817]; [42452849; 93400158]; [75987204; 54322212]; [6829610; 41843841]; [14646109; 83816106]; [88747497; 68541956]; [25467535; 41916810]; [68294149; 21873061]; [2354543; 64143077]; [24688597; 8012465]; [75466256; 84857282]; [66586505; 19430050]; [28478490; 16151482]; [25914571; 11740329]; [63404925; 5800875]; [56973195; 42754889]; [31409691; 21533386]; [54825034; 7985256]; [20583143; 65497933]; [34137553; 12523878]; [45336809; 63503409]; [26683899; 31186341]; [14179379; 43616039]; [857532; 31697090]; [45093593; 8619997]; [54337445; 72511952]; [87115483; 67716727]; [17809157; 65277180]; [7335806; 55196158]; [19910523; 88930196]; [43741302; 67174463]; [71547323; 72876163]; [88236782; 75690423]; [31150183; 45702383]; [56170264; 54575575]; [39038027; 24534016]; [95210582; 11344070]; [94261708; 45802057]; [93307331; 99720057]; [96991729; 71112484]; [37094766; 50435674]; [32393764; 7117383]; [79788085; 97031779]; [40360080; 45462718]; [24546351; 32531732]; [49264464; 7571435]; [53407437; 58209141]; [40796455; 29265814]; [25468098; 21761159]; [29306965; 1583826]; [71642713; 33109306]; [52640305; 78755805]; [55049332; 86151932]; [46395871; 30970269]; [18388113; 80818177]; [41566903; 26327916]; [27129846; 17357934]; [75350022; 91631773]; [55139560; 80438582]; [87790984; 48641828]; [62592101; 71733119]; [62072630; 95406316]; [31993327; 21761349]; [28199377; 46181382]; [28931081; 91396338]; [32835225; 36236828]; [33632332; 18650993]; [43522422; 21907904]; [27153942; 73246864]; [71134330; 86815249]; [54439434; 84713398]; [33626185; 57740934]; [825666; 73447481]; [32865207; 14468167]; [17250508; 32335737]; [42110343; 26992694]; [43144617; 33962829]; [2859328; 37726024]; [83521565; 61605003]; [79963054; 8376836]; [91101926; 43057278]; [23431726; 55700469]; [24408452; 90655201]; [44350828; 24059349]; [78472568; 20964561]; [81203021; 33770979]; [75572808; 21939281]; [81473201; 30769976]; [1683162; 56558809]; [24797745; 87815421]; [21045420; 95194767]; [87570683; 38976840]; [22226536; 54559504]; [89716628; 99073467]; [92176142; 66067374]; [11914889; 41431351]; [21701978; 41889188]; [69331828; 28174112]; [59361118; 59017859]; [40397543; 91723401]; [74388136; 59632520]; [18288762; 76978280]; [91363547; 56389027]; [81195880; 65535556]; [30002927; 65830887]; [69723560; 4833237]; [79739387; 66191746]; [12040492; 20925892]; [87037163; 99838138]; [31854218; 7989074]; [84311385; 30915293]; [65094805; 36140208]; [1762235; 57645167]; [19188360; 38671419]; [71043641; 57724349]; [45431886; 49604542]; [10890474; 26351756]; [37177637; 11032503]; [9734516; 74756716]; [67687308; 25354135]; [85533374; 83266988]; [32768331; 60979779]; [58929101; 95880388]; [2953458; 25617301]; [58554380; 16093496]; [19038825; 58828356]; [6464034; 1041403]; [53234488; 87044342]; [81414767; 68177302]; [50024363; 59545486]; [52404708; 90118947]; [2916585; 12716967]; [63739870; 93555147]; [20199367; 67067697]; [72763908; 57980789]; [65468694; 57353809]; [10795183; 66634878]; [39816012; 96003452]; [34582058; 54557213]; [1173575; 94526505]; [264121; 82303881]; [14985169; 99367479]; [87893233; 81298312]; [84407550; 35143833]; [47011404; 67736958]; [83350104; 81610146]; [67302455; 58719829]; [69712328; 51095569]; [31307715; 37991432]; [43742788; 49152676]; [25919242; 55030228]; [91969943; 80113955]; [88919268; 10768914]; [59379105; 71170956]; [56998155; 47284460]; [96413210; 69260015]; [57083651; 39699799]; [68682051; 48008021]; [94700179; 60796421]; [98800774; 75343015]; [61491359; 50204122]; [98302770; 37400304]; [82687209; 62188886]; [8118162; 29197675]; [69820410; 22127514]; [66502450; 90751167]; [79817610; 5677984]; [56785664; 87962968]; [75144590; 87570908]; [51370144; 88476719]; [44419311; 45169414]; [33585446; 84851630]; [70516175; 36499693]; [80689618; 49110367]; [35876717; 32205414]; [6513278; 90150545]; [67490561; 77384903]; [72455043; 60273904]; [30911723; 60905613]; [70496960; 38953015]; [50401239; 12201592]; [9808320; 14763304]; [57786749; 4350918]; [19416396; 84364494]; [49148991; 80799583]; [99121435; 10204180]; [15857854; 18003867]; [87231788; 70787305]; [77412117; 60186984]; [69673047; 20159125]; [48938523; 11480482]; [25431664; 66571184]; [2766022; 14037129]; [45569520; 87973958]; [82130837; 68048314]; [99433635; 79007100]; [87664560; 40959626]; [40804031; 78429736]; [43132750; 73931083]; [62785255; 31770378]; [63002354; 43519528]; [28039600; 36354803]; [49355277; 94347674]; [10689159; 45483227]; [94444031; 32546500]; [19130185; 64017022]; [75453991; 95959759]; [67977692; 75415178]; [23635178; 11004345]; [31907128; 70307018]; [9562837; 56972226]; [53239295; 20986794]; [57826055; 62049631]; [39027637; 1869567]; [44702044; 26637377]; [20906714; 17162568]; [93916125; 25612461]; [73380914; 77447748]; [67299356; 24952804]; [42787253; 52923893]; [11051200; 8344153]; [93687548; 91290011]; [63152351; 66649918]; [49152137; 95092130]; [25089163; 32120135]; [99351158; 26816138]; [57051055; 91324866]; [38575748; 8499051]; [70992985; 7833553]; [74522485; 13966531]; [44138982; 41177350]; [51810118; 52407504]; [21104920; 38447477]; [80690224; 66960132]; [32939912; 21990008]; [55639812; 2885385]; [17214678; 46254948]; [75808833; 57554578]; [72205338; 87967549]; [54408650; 3695188]; [13109498; 56513106]; [28102765; 8382158]; [34316329; 10106840]; [14128558; 35475533]; [65935084; 75025107]; [14865989; 76805328]; [69083393; 75042611]; [50734763; 28241240]; [22367570; 896599]; [53448113; 32041946]; [76159910; 30122178]; [32217564; 17848682]; [37399908; 22873576]; [94835539; 35611816]; [58165033; 89019302]; [59626450; 89967593]; [75481195; 88934455]; [46655978; 3799300]; [79015046; 92770948]; [13506336; 39561816]; [78893322; 18061181]; [66659293; 60596453]; [52964121; 93306224]; [14007891; 5994082]; [41184778; 20555943]; [38464209; 47682687]; [62429233; 4743234]; [18960744; 84845834]; [16981145; 24999455]; [63823619; 75597905]; [11660375; 9582178]; [84682305; 85256268]; [34182786; 83055030]; [69125169; 66236272]; [37186325; 69494914]; [50144056; 28212730]; [44603172; 12155779]; [40657492; 40382174]; [99109695; 85554099]; [92230931; 28198509]; [64336947; 42223515]; [58425685; 59837]; [93955422; 92245890]; [46815455; 29103602]; [56110760; 68178730]; [11701886; 12547180]; [79601145; 73312191]; [23094242; 43749734]; [36072683; 8888097]; [57870521; 26649785]; [65438543; 95092095]; [97982731; 8281544]; [69882328; 50516075]; [99228184; 84559320]; [77964431; 65746155]; [79968882; 29086778]; [577656; 25486802]; [88244556; 33729027]; [85364526; 66305603]; [99811056; 4375441]; [16818067; 32074143]; [20393255; 34648024]; [24293391; 74525508]; [97733754; 10420172]; [15943259; 53558391]; [32529205; 47926230]; [63965315; 81455336]; [63206775; 22480700]; [1386765; 34477987]; [94606460; 80773540]; [6006115; 43252916]; [89173491; 91466093]; [72121763; 47403694]; [75700238; 83307252]; [29504414; 72979819]; [50933563; 40869227]; [88599953; 45981517]; [98193304; 883571]; [89692317; 43442044]; [90445677; 42563313]; [7074445; 88505953]; [42001633; 72859573]; [79435252; 67586918]; [39674717; 5929606]; [38580219; 2991372]; [34833031; 37167490]; [4765177; 59395715]; [47343477; 15399249]; [21773915; 89316781]; [96577753; 54921199]; [50920778; 43834840]; [60555109; 55614311]; [10176320; 89496332]; [38767903; 96089986]; [6577632; 89342137]; [5901515; 79133199]; [55641605; 48606177]; [67882774; 2630148]; [19878165; 96878441]; [53892351; 76307642]; [83646829; 56664652]; [50885494; 25691430]; [24355144; 70419918]; [11753902; 47570261]; [28177719; 79579525]; [8575463; 1050625]; [32231527; 83017587]; [80573709; 53355267]; [21381988; 50048474]; [28615262; 11756465]; [20835696; 52638343]; [97319702; 44054655]; [41965925; 60923145]; [57535579; 59479741]; [47691136; 40016161]; [11366315; 29986947]; [69387574; 98729274]; [90680730; 52726567]; [29971716; 43173070]; [92408356; 22172552]; [69633998; 11391580]; [66015214; 32580945]; [63225328; 94571225]; [84690032; 92244156]; [69190529; 1280291]; [61371689; 80467057]; [37290575; 59258229]; [28801656; 10231269]; [59626206; 35837717]; [21389479; 49238685]; [18236539; 47987666]; [38948618; 98963259]; [94161341; 85460306]; [88798705; 63396549]; [21209179; 30165891]; [3634256; 32476948]; [2980164; 76365414]; [71012128; 20493021]; [18489111; 47862809]; [86820289; 92342541]; [63799424; 43318911]; [34279324; 83005974]; [67099126; 93106947]; [52673037; 63989569]; [28976921; 23688449]; [75012774; 82169878]; [82009112; 24211176]; [258596; 76147997]; [28239299; 18500752]; [21691263; 41173493]; [68413387; 19180073]; [25934727; 19333260]; [68057947; 22396114]; [13407946; 49861314]; [2192915; 55778886]; [91972094; 4788945]; [31195061; 35307798]; [15708873; 17198205]; [10812346; 7260479]; [61442308; 62215578]; [40704578; 30493073]; [82036412; 97477331]; [93181533; 23346433]; [31820966; 40027616]; [4649921; 66613455]; [85788297; 29133644]; [85091188; 31701900]; [55161676; 53629839]; [38624501; 22525479]; [65334478; 30542350]; [94271494; 63054766]; [81401540; 11996280]; [64261334; 93677836]; [12805740; 47639827]; [9211331; 99097305]; [40275003; 86048962]; [10648689; 31720231]; [92614962; 65919197]; [98227494; 97534051]; [68019517; 75290848]; [24192672; 71429059]; [90031201; 88546006]; [43968237; 33727822]; [46940045; 6942810]; [56122461; 90311093]; [54626499; 26684654]; [87144583; 21286575]; [99792105; 28221858]; [46812171; 65542023]; [6180073; 48395387]; [96993041; 92064167]; [28948738; 56174074]; [8730293; 2715092]; [29262086; 5940843]; [22397300; 66315919]; [83918252; 15769504]; [48168106; 59891005]; [5188032; 46574358]; [27710153; 89725221]; [50149967; 37801579]; [40732574; 48189733]; [33288583; 70644140]; [99098864; 77390014]; [19085304; 74557138]; [20890904; 48652343]; [88263725; 81780808]; [47583033; 61159538]; [40890895; 69795532]; [71080359; 41454963]; [30703371; 88831530]; [24309557; 41612556]; [97973637; 80814310]; [74572163; 88941770]; [9541467; 70046923]; [16220414; 97237983]; [92960527; 95754186]; [66533708; 4179288]; [71381520; 51890851]; [19355147; 29141298]; [60683018; 12565598]; [76523051; 50574856]; [25395284; 6323196]; [56409408; 74792707]; [25760375; 58676987]; [57554002; 62978513]; [10627056; 54181583]; [68820725; 15398988]; [27991611; 83284096]; [49109042; 54485688]; [45522766; 82826406]; [12955694; 9164680]; [23940401; 82717546]; [63169140; 76695926]; [86314912; 33735237]; [11383834; 67789061]; [11131553; 57160537]; [16318335; 74962173]; [86679830; 69282244]; [4426593; 2466478]; [12244788; 55910736]; [23536516; 80285714]; [10743705; 52529401]; [83838129; 9154818]; [5328527; 11623283]; [62926563; 68719932]; [36832834; 53985753]; [22790090; 377420]; [93231283; 24956392]; [31777343; 47410909]; [40232591; 68722619]; [66837121; 89452633]; [21048980; 21680809]; [32643512; 78522661]; [14686027; 14684002]; [58868992; 37359695]; [52890979; 72436743]; [38278686; 94453523]; [42647732; 24113360]; [32766446; 41921030]; [77619611; 54548315]; [59250686; 73702221]; [27712991; 63226969]; [29145959; 12621469]; [19077974; 42628255]; [97169695; 82945558]; [15958725; 45734577]; [44811109; 20355162]; [40618226; 364340]; [93530204; 67621509]; [49261363; 65208787]; [28385020; 44027243]; [96500468; 95070327]; [15393241; 49372261]; [8554837; 29060172]; [7364272; 33092155]; [63795327; 69601079]; [11270228; 89251432]; [27904953; 96624895]; [71869427; 71881400]; [46131559; 77905564]; [18522777; 52815704]; [94144078; 55321269]; [49951493; 58100035]; [84498361; 11383847]; [98522588; 68375557]; [24995997; 29935032]; [37509287; 12648223]; [5394013; 19481420]; [6011818; 91380910]; [12618662; 23358315]; [51750968; 99840089]; [41300358; 62903373]; [26114566; 92792229]; [73258629; 11284097]; [6885596; 59576904]; [73826788; 99420686]; [78700931; 91650939]; [54783414; 15838692]; [37151456; 68312550]; [48664841; 88551787]; [69519554; 88146199]; [80564789; 7245704]; [94701462; 466662]; [91017555; 55849170]; [18256725; 58268305]; [52084838; 95516114]; [48141205; 17333724]; [67938486; 15346548]; [6343348; 32441345]; [41234101; 96918649]; [1785395; 30911786]; [28840296; 95550808]; [75185742; 39673253]; [56177588; 60886933]; [31158941; 42010950]; [61934352; 49393886]; [11314032; 18945033]; [63688179; 84482843]; [69440489; 86654877]; [96187306; 72307589]; [46259697; 95067274]; [46622804; 39047348]; [45660853; 19750305]; [43854080; 79021404]; [46805375; 61678730]; [31897191; 63394922]; [2576289; 21613069]; [41931252; 33976776]; [9627526; 70100091]; [38291961; 80659423]; [11123623; 3582110]; [97105357; 88926017]; [87699383; 25709417]; [31114259; 8417284]; [64021524; 71351696]; [34659238; 53755533]; [79667832; 68173848]; [57336289; 31866868]; [37019574; 86050979]; [8838402; 84398666]; [89373662; 93550596]; [2540692; 78549446]; [59610787; 4614979]; [69235791; 97545119]; [64563067; 69022126]; [87383437; 8112884]; [71494531; 11577631]; [70497982; 70854833]; [31337585; 59903992]; [2114591; 86596046]; [58160929; 65843037]; [43994386; 86252828]; [52165113; 73289051]; [32936923; 63027337]; [74545970; 69534115]; [89345799; 47887160]; [61871280; 99370725]; [69977990; 89744719]; [47068076; 67300064]; [51894741; 7393898]; [99625360; 74681566]; [43151415; 16546650]; [3747766; 14323133]; [93121794; 85185331]; [92810624; 24144319]; [84979898; 44983407]; [94888794; 26617274]; [73457963; 1508511]; [56813471; 25724557]; [38418263; 74256242]; [55926230; 67782039]; [70322679; 92135649]; [41584472; 11977116]; [30768330; 34950490]; [47500671; 56752276]; [36529877; 99957970]; [70443214; 24910925]; [36306853; 59896141]; [35779931; 36768093]; [16761345; 42243831]; [53890088; 30513202]; [30858152; 21861958]; [60620730; 7492966]; [51891305; 67160667]; [21202277; 82512484]; [35459152; 49514961]; [25227733; 50349849]; [42648666; 5950511]; [10524531; 79875057]; [26050790; 17601767]; [77383186; 75127274]; [42698699; 24109816]; [47025422; 35779143]; [29420981; 95124739]; [1015644; 53296129]; [61883616; 79413852]; [78394862; 40334916]; [92805838; 52924782]; [41002168; 4848565]; [86880672; 64916298]; [59341184; 31289156]; [91064660; 54121648]; [5700124; 79118798]; [58348032; 89393287]; [62326702; 62947521]; [98450488; 76103369]; [76461708; 39027672]; [47429343; 44909687]; [50238846; 97621428]; [73943755; 15548118]; [22092246; 65278980]; [30019529; 74112922]; [53914830; 43000833]; [48307986; 34689056]; [4425377; 25046946]; [50584449; 66319891]; [82481734; 8425679]; [83612607; 97503453]; [91896600; 7355909]; [27247412; 83977909]; [58911794; 22135274]; [58615003; 97730125]; [63807428; 61629279]; [70655979; 48861206]; [5876093; 1935152]; [88137057; 64661427]; [38990126; 31168714]; [59411659; 98011440]; [56229741; 92387930]; [7058846; 94419374]; [69659593; 77847021]; [52353051; 25519670]; [86295866; 58048773]; [72363415; 3413831]; [64593427; 51282333]; [78615845; 88014728]; [90496547; 50505300]; [73356947; 9092839]; [93966395; 81670619]; [83906934; 14837512]; [29374112; 62417642]; [12793233; 33447229]; [65270176; 25432091]; [47559144; 43234916]; [87039619; 80461344]; [23161964; 84550523]; [41945189; 12858353]; [88592453; 31091717]; [38980185; 94483512]; [46791609; 99163980]; [90155138; 5652598]; [11975693; 88081539]; [86435576; 16411610]; [93643209; 3935822]; [20704127; 47912539]; [18197711; 39891787]; [53452112; 32821988]; [29163836; 15340342]; [82974343; 24204183]; [59835426; 48772271]; [21383987; 88349525]; [16180440; 52615977]; [75174162; 15306033]; [44799259; 9172039]; [223126; 14753219]; [17041749; 87636735]; [51008623; 48414356]; [75055328; 61394193]; [74688568; 65920409]; [4451663; 87528152]; [12181704; 47277118]; [46278841; 60423466]; [80869953; 61633628]; [26758105; 28903766]; [23783034; 85361625]; [57571114; 13784012]; [59371403; 69446281]; [92477773; 45610789]; [16429686; 86936102]; [77979400; 55247484]; [90248557; 77332915]; [98159617; 87133167]; [52911117; 61684498]; [50035345; 39504561]; [27138978; 30611813]; [81118850; 63919674]; [11113530; 41882097]; [18002272; 86220977]; [68370438; 99293142]; [74804519; 45983978]; [34619752; 92810627]; [33907716; 47668925]; [62294362; 26854340]; [74190363; 31144915]; [64331653; 6106079]; [21338070; 71147533]; [51456835; 48496537]; [59316862; 33262459]; [26108984; 11305478]; [36683854; 72028703]; [78124110; 12990309]; [15619162; 92105690]; [52594247; 57401769]; [87914847; 93146132]; [57277332; 18228845]; [72848412; 79729574]; [74293627; 92932114]; [10984377; 29226838]; [4180416; 98861348]; [35822844; 62678103]; [57262814; 69660820]; [89644600; 2891396]; [95612465; 92539391]; [94529218; 62807337]; [73669905; 33230147]; [61860381; 19802435]; [45811859; 62051810]; [53366464; 95933103]; [13504612; 5014461]; [75502420; 20782313]; [27905760; 90663813]; [35749983; 3644383]; [47024934; 44151453]; [96641472; 46290103]; [2685620; 77983410]; [56448142; 60751992]; [49555578; 95110211]; [59747943; 73365678]; [84454477; 50636664]; [91211946; 99102711]; [7368220; 33192499]; [94888663; 53801055]; [3462978; 99119850]; [43697516; 51755219]; [23617970; 86396330]; [62932519; 23629909]; [65301658; 70974626]; [2253557; 63417312]; [79076734; 6213762]; [80428136; 32222246]; [29006030; 46110288]; [80665666; 74739522]; [56296586; 41777147]; [37991760; 52048180]; [12279849; 84800260]; [30517289; 70845815]; [30462507; 33835075]; [46768773; 41095625]; [53662586; 17782953]; [46604496; 19293586]; [11211515; 58030172]; [63371657; 60116232]; [28134925; 6616864]; [89263286; 30728579]; [2838821; 27866216]; [26498253; 72936213]; [13620315; 98519267]; [92017144; 93582255]; [6653708; 28294685]; [79432148; 51735703]; [99559531; 60850041]; [73063791; 50725006]; [28640110; 76338126]; [94451298; 35270849]; [89164220; 56612826]; [33305462; 72623013]; [71933276; 14241663]; [62253332; 43663776]; [70120005; 11272656]; [37218845; 98714173]; [62399563; 32143067]; [95447910; 58599868]; [70767562; 59816972]; [69787642; 30583081]; [65721085; 37644293]; [97412879; 71327273]; [17254260; 59370779]; [22574155; 8239805]; [64695745; 23554951]; [99024449; 61024424]; [65687472; 97887760]; [29576526; 20280602]; [8225441; 3130064]; [34325416; 19760229]; [37259168; 88029164]; [98643218; 76612440]; [12412677; 30683100]; [92678392; 57667094]; [53110527; 90050159]; [34331236; 82070345]; [16927637; 15426179]; [66962065; 97516637]; [11789408; 26297175]; [12709455; 75598422]; [48048052; 54854057]; [16466125; 8099236]; [92316396; 74387944]; [99557166; 79927806]; [57688505; 58226875]; [55532079; 56306749]; [98107451; 88420288]; [6986179; 25975405]; [22727653; 66970309]; [44782945; 99208038]; [28691031; 53172350]; [40468559; 12122769]; [81508168; 52777016]; [19596579; 27919091]; [22665251; 58028960]; [50178235; 58873002]; [90086268; 47455698]; [56210020; 99293588]; [79908818; 63379874]; [36789066; 20757725]; [14795430; 53526694]; [77349053; 86928084]; [57885489; 81847014]; [99366533; 80515327]; [31264466; 39011751]; [78468408; 33197387]; [1778446; 20289104]; [17453262; 10201803]; [84781373; 97564039]; [36371132; 71639914]; [79237380; 24880950]; [64925781; 1177458]; [90384982; 15032651]; [72609505; 91285749]; [69344334; 16512912]; [14212854; 4677137]; [33991929; 28057424]; [28639353; 97086254]; [63134816; 1767396]; [91488612; 90867316]; [14502774; 19006698]; [97773860; 38455886]; [67353476; 87141272]; [2471490; 56206333]; [22561844; 1667731]; [28435447; 77757652]; [88040139; 45883680]; [30052920; 22979465]; [33966; 77514474]; [67577620; 23342753]; [97825093; 87767070]; [49558762; 61576978]; [54829253; 98165523]; [54418003; 65289026]; [6127419; 51392373]; [69464200; 79873378]; [90082373; 8090331]; [5915116; 5633354]; [30366278; 87883584]; [80482529; 40836309]; [7017764; 30842145]; [13259880; 51691355]; [97693732; 3163003]; [1338590; 15282784]; [84560752; 53698739]; [85221026; 23218730]; [30878559; 44507230]; [47262685; 66349364]; [9393977; 76919036]; [62444611; 35544490]; [46950504; 63675066]; [72059892; 7503869]; [36814498; 43339440]; [62097925; 28999407]; [23164860; 15604756]; [29808916; 62488883]; [89657390; 2171129]; [6159123; 36893318]; [83984757; 74426805]; [39148858; 7082662]; [8408103; 67560398]; [10281169; 2306121]; [38549229; 39579063]; [36815570; 19850309]; [21989933; 24986654]; [85579541; 40590378]; [84256754; 19955613]; [47215551; 24224001]; [59280025; 32106689]; [26853649; 12515588]; [4651751; 57782029]; [7657809; 2147191]; [19769567; 64084304]; [35232317; 63711837]; [39616240; 30177280]; [27185027; 54951842]; [44256407; 96731040]; [34201613; 41687284]; [47190927; 73717192]; [82224035; 51274069]; [77899779; 80285346]; [62186456; 13987249]; [95385192; 82344258]; [29940557; 94715748]; [44256564; 57092992]; [38429856; 31559129]; [48048903; 84353952]; [55558112; 43336576]; [79554157; 132425]; [68786321; 56860633]; [92687828; 49789439]; [68396881; 67723609]; [59856003; 16882386]; [67868011; 30581638]; [50099106; 87239465]; [27960445; 21833934]; [34269515; 28862246]; [60906007; 85280367]; [23823631; 74925450]; [52317237; 72081130]; [22286500; 20604246]; [14444768; 64953122]; [9029019; 27080198]; [14458049; 84434353]; [99864949; 18995358]; [93329885; 50029493]; [26394952; 6595848]; [55764635; 26316476]; [30017360; 81674360]; [37231066; 25708136]; [23072715; 16301985]; [12904540; 25918224]; [91051768; 58557830]; [70316734; 59348836]; [79955306; 71829934]; [61868561; 65647700]; [64117631; 59789738]; [33275869; 67717828]; [34084116; 79465097]; [33088094; 92354272]; [36935056; 80589863]; [80067726; 13339295]; [86981555; 10287798]; [52173539; 93070261]; [13536199; 47534515]; [12826676; 99669518]; [15137443; 66221025]; [1586548; 93441887]; [4223518; 69838856]; [2208154; 27070618]; [97651491; 57834139]; [78806571; 22081518]; [86433834; 93426633]; [80409909; 2457212]; [66704273; 4097594]; [79530044; 72424710]; [45228370; 61934528]; [54792503; 69398388]; [73240945; 34774468]; [69627096; 28400207]; [80990913; 40761480]; [20813689; 70019510]; [7811907; 3432695]; [53850014; 74085170]; [28203679; 72876317]; [57377637; 12814736]; [99106683; 27529253]; [69338773; 4089243]; [57968851; 66707467]; [53895836; 90008204]; [84705147; 43623239]; [62445493; 10576094]; [63281867; 18912995]; [49292291; 31288841]; [68489783; 19934528]; [52280604; 21349023]; [38075590; 90624273]; [46599215; 89547312]; [33863939; 82828020]; [59400724; 79864565]; [23688510; 38110745]; [7035936; 22941747]; [10117117; 72808954]; [42596694; 27742825]; [42816762; 80805475]; [24728482; 27010985]; [19785493; 87918309]; [79716244; 22269707]; [83127683; 72039683]; [30641334; 86181041]; [79628125; 24089079]; [98387191; 61613486]; [65123173; 3696954]; [63176495; 75669084]; [35930022; 63993620]; [60641160; 83336881]; [77029262; 29063225]; [77171155; 79320132]; [46359084; 44317089]; [4873653; 94800028]; [39770448; 23884214]; [177816; 60873215]; [29458682; 49882490]; [99338175; 28900172]; [92285773; 24627041]; [80816236; 65495130]; [98142814; 15275511]; [47702785; 63373898]; [77586992; 77950082]; [65845027; 98168593]; [35242077; 13638392]; [87807177; 6775450]; [16913069; 75280425]; [77300338; 48916140]; [842774; 85566332]; [79870521; 46920075]; [75341955; 22089506]; [2725618; 38884192]; [21049660; 98598375]; [59660249; 14347013]; [96374970; 6659091]; [2690909; 59699069]; [7532866; 40401983]; [63396375; 94920089]; [23311661; 69247414]; [3055281; 5275132]; [72133567; 72529652]; [56353135; 36133817]; [97014193; 14404967]; [23868724; 20288434]; [84941292; 81946679]; [37428303; 6787389]; [22319290; 71061327]; [98100831; 48378922]; [91310265; 33388618]; [79630432; 14528762]; [58088920; 68254454]; [21027607; 27813088]; [26793554; 28068737]; [99540752; 53212153]; [914574; 2404982]; [19969648; 95179911]; [85048083; 34291894]; [71662980; 79023636]; [7904542; 20119706]; [78851870; 57192220]; [27149131; 68031733]; [38881948; 74580639]; [24779727; 26236937]; [34874629; 74083358]; [5949797; 47403006]; [37575934; 14339398]; [42041374; 48957287]; [50431780; 56456670]; [40125782; 97379620]; [97498111; 84650118]; [57371324; 65321610]; [71864618; 52121996]; [54834894; 55361819]; [67077065; 16502865]; [53586116; 31486520]; [69483205; 47255211]; [4291236; 31975580]; [72379940; 87310966]; [7278291; 51143060]; [49595505; 48189396]; [79563227; 18209744]; [97189273; 47585452]; [989443; 61080569]; [24069663; 13505603]; [52481112; 3362386]; [4094125; 48949255]; [6827686; 19009004]; [415765; 26547262]; [72399439; 91088074]; [98483231; 62946692]; [44971310; 72352483]; [62677184; 91213343]; [48283479; 12466204]; [10471237; 21537993]; [19107620; 271029]; [64683956; 57445078]; [66082851; 47617474]; [55953541; 9448957]; [32559089; 84745764]; [13544070; 8289212]; [29753580; 66280319]; [47590485; 62526850]; [79901511; 64890171]; [64110020; 23125175]; [51345669; 48963951]; [1515057; 79756267]; [8353754; 48585573]; [95498632; 82049967]; [14122954; 50701046]; [10049966; 66928774]; [91860067; 39572079]; [7728955; 4329587]; [5121032; 8646267]; [73537997; 84727753]; [66868150; 51287429]; [23202450; 12503780]; [1828230; 9684078]; [62828766; 71540798]; [32077646; 82040619]; [37807858; 42765283]; [40940420; 78274610]; [62735052; 63722716]; [15940251; 90267103]; [34559992; 2108387]; [35854194; 35794339]; [14147360; 28807311]; [99097236; 40658852]; [58300071; 7950402]; [65386754; 9445909]; [77796576; 55120927]; [35541678; 88610840]; [12942131; 31595696]; [80216361; 92608666]; [70089140; 61850632]; [78680392; 63572054]; [17955846; 51679646]; [59488353; 89930732]; [14911251; 87705142]; [71299909; 41159494]; [26271074; 66591202]; [70207063; 58984407]; [12935215; 5951605]; [24588200; 51842607]; [9474656; 4651358]; [49583040; 70829536]; [15905765; 27726121]; [35173762; 49297160]; [49743725; 15093804]; [91140969; 68454960]; [95494161; 82435212]; [65679104; 44783892]; [41369729; 92813509]; [71618513; 67262221]; [81876753; 69291347]; [77117354; 11849562]; [23998861; 38136861]; [4116336; 31111749]; [63808424; 356395]; [36633114; 12319310]; [34623152; 78126381]; [89319925; 68123124]; [50883422; 49111556]; [89387435; 72217820]; [33876135; 30863131]; [38577279; 65030679]; [74384270; 43919941]; [87955705; 23351865]; [99274400; 92942247]; [1110772; 54016382]; [85083822; 11198971]; [85453268; 28597337]; [30698961; 86105320]; [4828296; 44967896]; [99808033; 23914791]; [35469826; 1660046]; [92460838; 13434673]; [91890443; 94431547]; [55084261; 36720433]; [5141851; 97900539]; [4395692; 58696003]; [55810246; 70091795]; [24774537; 17864420]; [95502787; 62439505]; [45613706; 11067838]; [3288475; 35416478]; [65588694; 25579806]; [6558757; 97740364]; [95204700; 70473490]; [91744037; 47264872]; [66991321; 75439003]; [56038623; 73940794]; [52637645; 66221313]; [67590393; 85548984]; [63066927; 75065317]; [14309467; 51188834]; [83676325; 99458245]; [98061538; 73984809]; [76660225; 18453273]; [46243022; 35645229]; [37567223; 67148926]; [35431129; 33575428]; [74039601; 71494478]; [25430523; 67013942]; [5766212; 74541582]; [91292390; 30803581]; [22651877; 50811131]; [20938577; 54529729]; [27187667; 45566425]; [69562371; 64778334]; [81395224; 81500761]; [20515770; 61810453]; [83848436; 60095369]; [92384172; 48104237]; [86042045; 60192148]; [51809905; 6637624]; [56542481; 47350993]; [16193950; 91514478]; [64215363; 58536907]; [58639310; 78420616]; [36958093; 93408327]; [54414117; 73923785]; [47807361; 17242445]; [2182538; 44000314]; [90020530; 17631140]; [83176852; 89080885]; [9573828; 32937783]; [35759944; 28252464]; [28953706; 87082056]; [19024949; 19115442]; [7891365; 19606601]; [28498330; 77350075]; [57278845; 7324445]; [88985418; 67454739]; [90559; 15252822]; [38723301; 20067366]; [17783400; 43039767]; [15979649; 18426589]; [52938986; 67925971]; [42960161; 82901104]; [9506730; 30183781]; [46738379; 80566200]; [98926636; 86710042]; [95640236; 41382637]; [67336803; 94527124]; [65706082; 24068234]; [19347158; 333849]; [73808550; 43628064]; [39158638; 24637964]; [31557653; 41678171]; [54084791; 35064633]; [99160201; 86172473]; [50282640; 99905504]; [68028080; 15188249]; [98260509; 59186854]; [3290655; 72152762]; [54096991; 19791788]; [32717052; 14211794]; [28960304; 78060415]; [75258643; 21045075]; [95414419; 73100614]; [24646032; 96107218]; [81546825; 47710423]; [82779297; 15112292]; [64897744; 81443507]; [28272852; 47949466]; [36719964; 23854545]; [55714846; 30872609]; [38223691; 71743827]; [87369448; 59773973]; [32935823; 34624589]; [30418642; 78999070]; [40364463; 88499884]; [53426847; 23380632]; [84005521; 69891543]; [40311571; 29260491]; [64649085; 1341260]; [13395774; 39865479]; [31741701; 56455525]; [44749960; 79273232]; [95386348; 97415563]; [22778235; 31859144]; [88801282; 15995234]; [85900211; 35205494]; [65845205; 56281682]; [9033227; 20114612]; [21578871; 4754531]; [3530017; 33705160]; [26690235; 57818719]; [33092900; 80403307]; [1450263; 76648442]; [10017944; 5575286]; [28766501; 53359116]; [63314060; 3107946]; [60882913; 9958320]; [67577628; 16231397]; [83473212; 13409757]; [65598856; 10185407]; [30367790; 16396903]; [16629791; 53154614]; [63794575; 73779341]; [77988366; 96398308]; [81785096; 72356150]; [39308800; 71509781]; [92198709; 46195705]; [92616283; 44302262]; [93841840; 86192813]; [6872169; 89916792]; [79432259; 34910814]; [69276389; 14960414]; [19026990; 77359280]; [29816062; 79514483]; [4655436; 35043949]; [49715840; 39594156]; [86473505; 21633922]; [71813499; 82136087]; [34321869; 63146261]; [31640739; 59605886]; [32753172; 88662982]; [79290093; 36091911]; [53120209; 19366902]; [7094586; 12326864]; [93996209; 68255698]; [33970928; 64835839]; [34052090; 83709287]; [58918446; 58791189]; [44687627; 15350078]; [85842510; 3451049]; [51283117; 18706172]; [80563822; 72623235]; [44220495; 69315297]; [61195987; 1815289]; [97953107; 13235050]; [12151905; 1720019]; [31594213; 58738457]; [75086144; 69435389]; [98395657; 14731184]; [70260608; 88651443]; [9024562; 36999366]; [51334781; 20518157]; [95211664; 5706423]; [85136341; 42601207]; [26001616; 5757895]; [17910337; 65543316]; [51256135; 83945793]; [10167623; 118942]; [69561480; 39290261]; [9041658; 51542228]; [6463529; 41931926]; [21261542; 8798351]; [43468217; 87102395]; [87055226; 7981675]; [50693641; 3213248]; [64791963; 24291314]; [94359391; 31611475]; [66467978; 43486406]; [18537318; 13648779]; [28975000; 22300968]; [42092705; 77928266]; [91457154; 4725649]; [2415958; 30886467]; [49203855; 34432666]; [68773739; 99537334]; [57012870; 63746548]; [88392027; 48003982]; [36550300; 29089637]; [87973340; 51991478]; [80913355; 7843141]; [35136122; 91819648]; [83106302; 1415044]; [43092077; 41177668]; [5864428; 60545814]; [14999087; 60107170]; [1220115; 25846196]; [99681097; 58166724]; [49222482; 41502350]; [20734912; 82940539]; [97419042; 72953096]; [81670238; 11716479]; [65077595; 74610290]; [90336656; 60976018]; [45468796; 30692444]; [85588487; 42814849]; [66084788; 81019634]; [13503244; 15171882]; [29375576; 94930782]; [17277929; 41130353]; [14811834; 23314915]; [95403390; 69231734]; [46401700; 9801136]; [73488362; 72360269]; [78902680; 5182872]; [77002074; 74582101]; [50901324; 19820739]; [25470131; 37126919]; [46251450; 5649926]; [33266305; 77064756]; [34649966; 52738212]; [52617507; 17353182]; [21083020; 18868349]; [23874529; 57361070]; [86293881; 57961353]; [48787461; 59742745]; [86021393; 97900885]; [11716015; 9068298]; [88484071; 58840893]; [58491450; 18017209]; [94106093; 62331671]; [24652496; 36455778]; [63831304; 9008492]; [36160921; 34906800]; [7344710; 59567565]; [45615838; 24138739]; [72605314; 74545495]; [99058365; 47430700]; [46036019; 75371169]; [74904260; 32752519]; [27830650; 46017995]; [20786660; 85061838]; [7241687; 82988236]; [68095871; 3705612]; [57592659; 57205557]; [78984951; 12255578]; [60977062; 39881934]; [32002143; 74412298]; [84530982; 33796526]; [71050107; 23556814]; [44793655; 28033998]; [57108421; 46533634]; [29035012; 69567427]; [76088477; 24477790]; [10306461; 1498708]; [67675899; 35685087]; [93483202; 2332409]; [41592652; 7095527]; [55474920; 2571503]; [96100196; 92649777]; [65265736; 54135465]; [31544071; 82852350]; [7525820; 1909540]; [71796157; 45788364]; [63443658; 75936635]; [1545065; 89333198]; [35897056; 82248398]; [11034510; 80594586]; [33184784; 60439175]; [86101696; 60483577]; [65576751; 41263105]; [67587282; 41241672]; [140840; 98736813]; [29462941; 91429411]; [15683188; 4280785]; [81581351; 64500387]; [17216580; 57690009]; [40068568; 90751380]; [13182774; 40119256]; [52890022; 61858497]; [19621327; 99807741]; [94751066; 18766654]; [33791620; 46822367]; [80822481; 75519185]; [49740886; 40575377]; [34055909; 86755334]; [24929522; 55568085]; [17684346; 52913371]; [92687524; 78478985]; [54272734; 37326224]; [97749456; 85177691]; [73134667; 72812939]; [55424892; 9349669]; [93431749; 86264305]; [55572653; 3137948]; [32107781; 67686592]; [14125163; 29068562]; [21077164; 79880225]; [76965922; 96092827]; [25542677; 90524397]; [97703537; 85504140]; [93396516; 86088426]; [66275510; 72864534]; [8015423; 1726010]; [7825575; 82242227]; [20528327; 22805516]; [70635229; 37098051]; [14930365; 50660917]; [55528636; 7992482]; [51361616; 67192604]; [30860935; 99964759]; [32718308; 3274231]; [75443250; 89134552]; [89392268; 55256347]; [16300901; 18799370]; [73818290; 71261414]; [18525329; 34222086]; [2250079; 76869602]; [80537946; 41542838]; [71542123; 50129818]; [49203344; 88153427]; [23294411; 50687348]; [92678728; 19959246]; [49728819; 3725543]; [24276110; 25473228]; [85155115; 7672690]; [30780326; 33923304]; [48852411; 26555576]; [45114163; 81810793]; [30812983; 54820007]; [52362770; 84556193]; [90339617; 49847435]; [1014090; 16316735]; [79001155; 48463220]; [53531463; 28972915]; [76248608; 70166109]; [45711354; 51259435]; [66896699; 28062110]; [46080080; 8997638]; [12555408; 40227678]; [74206050; 19446935]; [64396792; 87300094]; [60986563; 21327331]; [44342419; 70935917]; [41928644; 9619328]; [38645434; 22288837]; [94932961; 80356029]; [60618017; 40022409]; [92083852; 45996122]; [30723563; 95866214]; [37070323; 213594]; [28884924; 8843409]; [12297526; 34871390]; [71960176; 69694117]; [57042678; 11519219]; [12380862; 32376616]; [44641913; 44316418]; [95275194; 725042]; [80242492; 86782567]; [27315283; 57705798]; [1539426; 85527147]; [84370359; 5752823]; [85616612; 32999939]; [56785144; 95194246]; [88124169; 79877234]; [46444617; 67736081]; [71710151; 8676178]; [68143374; 21560441]; [60585528; 82478218]; [40691533; 22406175]; [94820505; 85117993]; [21657511; 25145977]; [41932038; 89455440]; [62847549; 65287250]; [83486703; 66302916]; [77567033; 57159834]; [43845106; 98776501]; [70121928; 40977117]; [86746329; 81286467]; [83783816; 5385942]; [43976500; 57362581]; [34728901; 89062934]; [26072971; 28898159]; [78435019; 86087430]; [62364584; 64729043]; [712477; 70138052]; [19503915; 4806450]; [29345814; 83546360]; [36777857; 48008564]; [73152735; 32499671]; [91721708; 17616454]; [98719580; 26690637]; [62927582; 19767085]; [94952003; 44250547]; [78767465; 96378229]; [3319006; 50385347]; [80671672; 89034845]; [59040541; 21286152]; [33252791; 70601192]; [26664301; 46637643]; [81488595; 35441369]; [97645682; 28651300]; [43753032; 7016483]; [55555509; 69967598]; [73195701; 97985963]; [10919889; 40691018]; [2548936; 40048241]; [20296445; 44471515]; [45359254; 32236609]; [11317792; 30373523]; [68924044; 27759703]; [66229218; 71801072]; [20862640; 49771460]; [82074200; 2238152]; [44339121; 85021055]; [57860358; 2076053]; [48356017; 69593443]; [71300608; 7388772]; [85386117; 96857293]; [2159846; 59129098]; [41372164; 81853087]; [54322223; 72954065]; [90622167; 48148137]; [86923090; 15516398]; [62928322; 27487578]; [90168413; 45220076]; [75391390; 24638280]; [62983220; 57434707]; [9674228; 98321087]; [49854391; 21375485]; [63435848; 62563498]; [90318346; 24562110]; [41256225; 49032773]; [85427559; 48311382]; [72035718; 45985763]; [97047657; 59690824]; [18027805; 34310642]; [82758416; 17507849]; [66538698; 35029052]; [67081872; 68116676]; [28762975; 1584136]; [70493956; 85416150]; [63975624; 41700875]; [85376604; 92471952]; [31117619; 8710291]; [66975083; 17944089]; [65398853; 43471629]; [18443881; 17422596]; [68932598; 13965440]; [85968654; 43607736]; [91763795; 27976157]; [63486397; 26096377]; [92198858; 61112679]; [2920008; 79162333]; [26507522; 63835756]; [45056342; 5574977]; [83025636; 63770541]; [82221987; 90054270]; [79680869; 36420516]; [17541513; 26396402]; [89018329; 82183929]; [47710267; 87761103]; [228334; 58510262]; [153603; 15300401]; [61060997; 2357563]; [8305051; 1329835]; [81772291; 85445058]; [74799431; 55319275]; [6481203; 49487913]; [78571828; 91037705]; [67189953; 28385774]; [24959135; 1387020]; [12822367; 60373211]; [59239647; 76172070]; [89709527; 70202049]; [79252; 55323796]; [40823859; 40804358]; [57859166; 66884316]; [42121918; 94480237]; [68770357; 17801922]; [8582711; 69327110]; [12787504; 46324332]; [38308602; 11696633]; [13935422; 98809490]; [28353929; 8124035]; [5357810; 83645084]; [15556742; 3716170]; [75426383; 4415990]; [60850157; 65918256]; [5732177; 3859395]; [6018916; 38725890]; [15782401; 18215338]; [23977400; 19335429]; [4304421; 27313296]; [58568295; 34818475]; [61057511; 60601315]; [32378468; 34200492]; [46175428; 62609526]; [13898546; 88773267]; [80329252; 18793220]; [71186826; 5539261]; [85193575; 78329152]; [19499982; 52012771]; [31029835; 28111589]; [99791450; 82774195]; [23734329; 81612336]; [30256504; 14320449]; [86345783; 88202028]; [82758666; 25389147]; [60877198; 84580723]; [48789972; 99307670]; [68205368; 93574484]; [66051781; 91539566]; [94994346; 17660618]; [24071101; 92682451]; [76079558; 59337348]; [65046198; 74502772]; [36393526; 29995877]; [44864143; 61719013]; [17065776; 26042163]; [85242666; 14542166]; [87725911; 89846537]; [26228602; 38737604]; [33703287; 17637529]; [45679665; 61271392]; [28441465; 51029299]; [45604798; 21516089]; [50349979; 29905237]; [13024078; 9741394]; [83881366; 35885621]; [31087857; 46380399]; [39096985; 10464353]; [32465634; 26512082]; [97399034; 14354007]; [70151486; 48820944]; [40012983; 14626371]; [2690434; 76751662]; [53379722; 18349573]; [95883507; 26592233]; [28262650; 80695769]; [30040551; 48194067]; [41013452; 86484631]; [6371088; 49862001]; [95332258; 33014559]; [47181861; 39631027]; [46356424; 68181292]; [84586023; 4850572]; [71399604; 1015117]; [13638577; 77519217]; [99877541; 46826777]; [61197928; 98786552]; [81039210; 16739306]; [91144260; 52181637]; [82636807; 69153858]; [40974485; 41362785]; [53555448; 39975931]; [71566174; 24667659]; [43239767; 90144384]; [18421621; 97572474]; [58676934; 33037787]; [49568019; 81359544]; [67956647; 57984859]; [91080183; 67746040]; [30244365; 73426645]; [90455173; 76439664]; [97280649; 6820846]; [43204409; 76908401]; [51123383; 34508268]; [21803750; 63910316]; [12609162; 16466638]; [79699251; 45882310]; [13577743; 86290988]; [73192308; 12155167]; [76984573; 79012654]; [66015841; 83207594]; [35519710; 23065786]; [30229443; 77847652]; [5787326; 62462035]; [68676743; 12075824]; [6367963; 48412229]; [56375976; 82289628]; [25970538; 93770465]; [99552151; 98034212]; [82544019; 16032842]; [11051913; 57299147]; [63995962; 82888907]; [28655036; 92273448]; [9110946; 79544615]; [67678107; 59399346]; [31795226; 81831469]; [81951401; 16796896]; [41456071; 20990930]; [92863410; 34678973]; [36241899; 68183907]; [24282114; 54469431]; [79655257; 57781488]; [4434129; 32031385]; [34865182; 89223614]; [64007367; 65775445]; [97691544; 54829813]; [77176117; 52223589]; [41175569; 55525066]; [77565647; 89923305]; [84770948; 85817154]; [60821504; 67194460]; [91452165; 12333333]; [587023; 39889029]; [88098394; 82586472]; [93116660; 14473324]; [98619811; 35824697]; [82498845; 52420920]; [75213018; 45035067]; [1923927; 66268144]; [75924090; 28820763]; [84359311; 18465324]; [96363910; 2720241]; [18814850; 55684213]; [84528493; 70095228]; [73515335; 6195939]; [18713613; 70322202]; [91436500; 66920130]; [78549076; 92663390]; [8610278; 74270944]; [85875504; 59191573]; [16993211; 33775707]; [40615483; 58337204]; [18726627; 43554511]; [62561739; 47107135]; [55773876; 83721491]; [62456187; 97680502]; [97532808; 29211981]; [76437434; 31533421]; [10582460; 43943830]; [98694302; 50969930]; [10620448; 17434854]; [19775792; 99650871]; [15181729; 95015998]; [27400295; 69210701]; [8370558; 6374883]; [66548356; 18050963]; [65558661; 17513658]; [42113356; 7927977]; [75631076; 81343862]; [47582699; 10524]; [28679687; 55942315]; [32626248; 81625178]; [82768390; 72079066]; [4219431; 75713813]; [39700935; 87836566]; [65789769; 70623637]; [50265810; 14086323]; [90598825; 68182057]; [79762706; 93674926]; [70850086; 83414171]; [65689150; 39934361]; [89042774; 96195556]; [27614867; 18510081]; [82055322; 50178366]; [28463316; 11728366]; [50585694; 32395782]; [69184863; 78825961]; [35859058; 39788097]; [19209818; 26391227]; [71180429; 28141641]; [72821655; 12347277]; [61068085; 23918272]; [68538125; 87359965]; [13006162; 69433988]; [43436893; 30424246]; [82521423; 10377942]; [28637895; 99112347]; [74381959; 84159534]; [33712640; 4774997]; [36494649; 54316567]; [5633262; 76922385]; [70386205; 76730029]; [67771376; 81267187]; [34139669; 10028487]; [82897662; 26654641]; [98853699; 88787476]; [78780060; 81960639]; [40224039; 17799871]; [39741917; 99152645]; [42802630; 97300197]; [69814466; 36014090]; [99065088; 65407184]; [86022008; 31014982]; [65920898; 54902595]; [56468107; 14015465]; [94242079; 25545603]; [70787928; 63305575]; [13905196; 9562241]; [91684403; 24374888]; [88459797; 29973204]; [16327627; 60681879]; [82151401; 32836173]; [62333917; 6400418]; [59617052; 38123692]; [24825942; 42452547]; [88313287; 24373140]; [39464545; 72782516]; [72001613; 11616407]; [12634474; 98572911]; [83057271; 21583080]; [50889654; 94683476]; [37555670; 65977594]; [40846184; 7709910]; [34244370; 49623470]; [91082888; 90019351]; [23754866; 47196961]; [55591751; 42675734]; [12598557; 64565992]; [63732287; 19546136]; [44402720; 47663235]; [67735569; 14258073]; [44592524; 95014135]; [3582148; 80241789]; [69205127; 84537220]; [56715225; 85872668]; [28072384; 53921077]; [84004518; 22667673]; [56593186; 10076108]; [1277603; 88349061]; [24189167; 93807912]; [66629404; 14017368]; [13996434; 85996303]; [10458292; 21165795]; [95411271; 41962639]; [39592332; 10258370]; [59823340; 15928904]; [4319969; 43520031]; [28217319; 4546172]; [54269213; 82325300]; [55890485; 3164075]; [60139535; 39474010]; [8040419; 64030491]; [35519670; 16227687]; [79593549; 8458345]; [81548819; 3916767]; [61192231; 12586138]; [36285876; 61865195]; [94942538; 46562786]; [96211892; 3348940]; [68575618; 26887615]; [35912881; 23635796]; [55613216; 37894534]; [27668564; 60045714]; [17911708; 86289400]; [74216510; 63191698]; [95482185; 35031201]; [41717867; 32384884]; [14454521; 38956092]; [17997134; 52436398]; [82270676; 10323883]; [52675268; 43880636]; [95307733; 69710729]; [80039749; 60182829]; [56368572; 30476250]; [12978688; 62132027]; [31199039; 49194107]; [45247464; 20397641]; [81466842; 54756569]; [43025162; 37533211]; [74271031; 52702440]; [44286225; 75268646]; [73318571; 88065059]; [5724673; 4792596]; [50765702; 48524320]; [63663851; 30637443]; [4378133; 49750461]; [27061983; 73969468]; [43879261; 79606021]; [93705296; 8711574]; [30248690; 88545556]; [13173415; 93721074]; [26832489; 14085079]; [45676531; 9524434]; [12486945; 3402015]; [18366779; 49642683]; [45239947; 61788719]; [15239559; 32789964]; [61381473; 49216143]; [15870488; 45392721]; [75658600; 65349320]; [56540563; 1338840]; [12588519; 25430535]; [43258253; 50880221]; [86406185; 49023933]; [1812145; 72192645]; [60215942; 63129943]; [65099660; 42608153]; [5480289; 30386233]; [92501200; 11437688]; [90387405; 24062660]; [29343469; 48961170]; [21725604; 83592085]; [46035062; 5384391]; [54916810; 22173253]; [92417728; 41216977]; [52543648; 89762122]; [29035898; 83420919]; [96852231; 26033993]; [11852893; 66214166]; [7122411; 62135257]; [24342694; 33496897]; [61770375; 69702849]; [89280857; 97353249]; [22823603; 25081074]; [76655831; 5044305]; [6942061; 95431017]; [38414794; 31941665]; [31004127; 21062429]; [88051940; 75156839]; [191520; 44325065]; [50900457; 4741752]; [1155690; 44460009]; [11746717; 97531287]; [4757900; 43317829]; [4577908; 5575113]; [23628884; 70550644]; [10857611; 82382402]; [48538418; 53062933]; [20327784; 68385716]; [57529601; 36100420]; [19897079; 9263542]; [78269150; 45412733]; [9489174; 42972272]; [73681636; 98714114]; [43357890; 94032805]; [51973184; 85723911]; [64901181; 8408719]; [9334396; 6476165]; [85584491; 40850537]; [47071291; 81270007]; [28374000; 2042948]; [67802180; 8592658]; [16125584; 13715076]; [43813362; 68988417]; [84621252; 54115278]; [60155573; 56583239]; [46310987; 7292685]; [12155195; 74323728]; [28217661; 91562024]; [46710176; 23336735]; [13244727; 97299056]; [28862435; 58956992]; [53764953; 32147153]; [5409595; 32976276]; [66317189; 91514671]; [18827957; 15326419]; [81337628; 96325750]; [81487200; 64963510]; [27321599; 98285829]; [83908999; 54213778]; [74158613; 61194920]; [22021189; 59201606]; [88185511; 7529148]; [59445106; 16086476]; [68886686; 81224161]; [49018644; 28105002]; [19574780; 15143505]; [77609791; 24309576]; [76288764; 90618407]; [17114116; 13828367]; [85389553; 13793184]; [41673683; 67672841]; [89078878; 60000710]; [20118372; 81031741]; [28090130; 77268676]; [3145737; 73169120]; [11361758; 15695820]; [49833109; 32231241]; [6408892; 92826546]; [45787840; 47202630]; [32966746; 48538000]; [70760134; 32034555]; [2807678; 19281315]; [54811243; 68469630]; [34536448; 93288170]; [41839452; 54914809]; [60979262; 92366888]; [27350092; 3092156]; [13345566; 54937319]; [56853844; 28134884]; [600925; 96701240]; [65394163; 33439122]; [52600837; 91055585]; [11965379; 80354943]; [45276992; 86019823]; [25696079; 30003344]; [51716627; 65781537]; [84168371; 47935937]; [83320199; 6571750]; [14561775; 56933872]; [28526634; 63027726]; [92652401; 18743437]; [43875919; 3588666]; [30616547; 25299729]; [85012816; 86639196]; [11799149; 19358899]; [5976495; 89688172]; [70894314; 33710829]; [13320123; 2801180]; [50081948; 58555033]; [77094979; 6974168]; [19593150; 36931969]; [20317687; 85511953]; [8781316; 28562127]; [11242583; 58208154]; [54690704; 61619053]; [21857775; 15280903]; [39841280; 98699431]; [41449404; 87792096]; [59507228; 68786766]; [84234381; 11751869]; [28391639; 24221699]; [64263425; 90644883]; [30151898; 22937738]; [89523718; 24098793]; [65860658; 65284771]; [46836347; 42909335]; [20478449; 73815838]; [26301772; 32934371]; [90478811; 13849584]; [83061441; 94721444]; [62100012; 71153368]; [48110005; 40879239]; [50489290; 18617518]; [15138804; 93476940]; [66666074; 77489213]; [97666316; 26037143]; [59733075; 69055952]; [1260823; 63404558]; [13986339; 69059268]; [18078627; 20703777]; [59833361; 21154047]; [33671488; 72216097]; [41613463; 51396861]; [80952349; 52503663]; [58272258; 5433562]; [74392728; 31077609]; [55437435; 46575682]; [83513168; 7490636]; [55521109; 76402845]; [526519; 59646281]; [89805443; 18254609]; [46540813; 90560468]; [98217081; 76635698]; [13153989; 19704508]; [74690757; 19354877]; [95873296; 29714164]; [10125797; 40979567]; [6670493; 87927375]; [75021878; 54583444]; [34793505; 2860456]; [83969173; 90292187]; [30305847; 46287360]; [87373958; 14901492]; [4891502; 89318753]; [69770656; 66559087]; [3296758; 41818206]; [78601795; 26803077]; [88147; 42286585]; [95002720; 5437190]; [30837068; 80451547]; [49342657; 26480168]; [61183059; 14972430]; [61582105; 84691164]; [47085859; 17757473]; [89411255; 98598462]; [56185886; 78899452]; [89187907; 67651459]; [15214393; 67827930]; [56306762; 8878793]; [6437361; 94128852]; [19757572; 76030331]; [59441563; 63374883]; [63592800; 62627419]; [27351157; 90300585]; [37336439; 79174837]; [46128167; 13621096]; [9350193; 25749565]; [61782942; 98479384]; [33992195; 38044586]; [90220191; 66297624]; [6962011; 6659402]; [84387660; 55760144]; [10372729; 45634931]; [12289884; 31986858]; [74846757; 67358748]; [82839921; 54274918]; [3879795; 61695474]; [18706232; 78370617]; [66087529; 34714904]; [98815956; 75472655]; [85819393; 68085887]; [14230694; 75940551]; [48375015; 37155989]; [63655154; 16418017]; [79434031; 81934971]; [91384641; 41663676]; [79063028; 82838482]; [85986238; 28419221]; [4462489; 89793813]; [66661497; 56621279]; [80778154; 2978810]; [85520585; 86375024]; [11851003; 63561855]; [66469316; 31034266]; [2070451; 51807282]; [90912403; 3194392]; [69272041; 94441459]; [77932883; 78714327]; [40146320; 20990829]; [5036679; 88966132]; [43181093; 56798757]; [99843371; 65774220]; [41287863; 25284707]; [16048749; 490532]; [79810689; 58539464]; [1374611; 69463275]; [96582093; 76738976]; [89785942; 11782553]; [50677430; 18754411]; [23445181; 78579945]; [25779882; 8615901]; [99625302; 55094628]; [72794446; 54734714]; [25803160; 21433558]; [16328687; 7684778]; [76860316; 40218156]; [75482768; 74954125]; [44225233; 59299907]; [67203797; 4604708]; [31636971; 62348045]; [72109296; 63025476]; [25587665; 37470360]; [49632971; 64529833]; [23760747; 86108457]; [1652027; 64317438]; [41931433; 4742482]; [41523882; 20751733]; [62680331; 29303099]; [75179809; 55267344]; [3668344; 61771400]; [55346008; 65037295]; [19652708; 53378268]; [67372557; 45679208]; [98893612; 72345601]; [57247062; 69947117]; [71334112; 95104989]; [87619557; 26970111]; [49192025; 1900143]; [25542337; 99551023]; [35084950; 80382085]; [84709809; 14159506]; [67552995; 72238099]; [26725134; 79577100]; [90659806; 38242220]; [21807560; 59378201]; [53966737; 96311441]; [29581394; 83793047]; [41152342; 12719208]; [42567981; 95514559]; [7344285; 14430168]; [43510063; 84721871]; [28426720; 691869]; [43238484; 35502333]; [70580382; 15802736]; [17067573; 44121544]; [34287412; 13310345]; [4679657; 66854449]; [70273157; 9473147]; [94181624; 97412356]; [49108450; 5951482]; [69967172; 51910946]; [82289411; 14811809]; [95740528; 13409304]; [35601426; 67699258]; [93282679; 75106092]; [18712263; 98075116]; [18062985; 77366907]; [76483310; 24982564]; [22454043; 42755911]; [18925902; 15416437]; [63512891; 22667186]; [92582357; 6651680]; [1353208; 19754291]; [85302573; 6779601]; [40002377; 29742863]; [54131180; 95629058]; [24631259; 49983224]; [3703995; 53926743]; [54841512; 18230149]; [81370457; 35053903]; [47157765; 31652557]; [82780227; 35128346]; [1757478; 25230579]; [93267515; 2132073]; [94319218; 95724520]; [12315513; 41362720]; [87363164; 27675144]; [94743072; 83604865]; [24151119; 47754105]; [5887652; 40480756]; [49324740; 73346066]; [18641970; 80729963]; [92075877; 69025196]; [5091037; 71186368]; [93673933; 7159895]; [63161612; 67644948]; [62082857; 16981996]; [115103; 10658731]; [30900858; 64003149]; [93623178; 1239921]; [8616748; 2302038]; [66342571; 15762316]; [31253909; 88286107]; [94862787; 20969143]; [7781230; 49495092]; [7678170; 69956886]; [1474358; 39954846]; [38204328; 23489450]; [81773404; 80168758]; [56739128; 19288732]; [94728397; 75757506]; [18197379; 66761491]; [20877722; 21577366]; [83418015; 55621963]; [20683956; 10792207]; [15562756; 8945691]; [85175997; 62555342]; [21520538; 43953944]; [72162352; 52692852]; [4402810; 85431013]; [31050483; 44535228]; [50587519; 4148257]; [85417272; 98267524]; [81359603; 90232002]; [35576688; 85798860]; [39710343; 45792266]; [79769610; 26619211]; [24991733; 94441502]; [16514409; 53072682]; [66750767; 35508113]; [25290057; 28869842]; [15367382; 47492947]; [65904929; 65261609]; [27935803; 23477318]; [8026484; 39369509]; [71220395; 78266810]; [6737511; 81025743]; [19909011; 10142190]; [937451; 66289176]; [47808416; 74550665]; [99707546; 41726034]; [65847182; 79023584]; [64478906; 81705445]; [41426786; 70664738]; [18932678; 58324102]; [29968998; 82344438]; [20455359; 71150401]; [2315988; 8942701]; [56769999; 66385905]; [29380830; 37507902]; [39522666; 90360648]; [85341804; 26128613]; [63805263; 53870962]; [36150727; 7984486]; [24995910; 85103668]; [72319706; 20286590]; [42300226; 23261745]; [83816170; 19305788]; [36837003; 91704412]; [21185502; 57965360]; [11643002; 56908610]; [85971687; 18428095]; [40121980; 41093027]; [1384741; 32294272]; [88764019; 75672375]; [44375512; 14043064]; [11776202; 41598747]; [95900835; 11434148]; [22724510; 84140690]; [92298751; 96368590]; [31934167; 30084284]; [809373; 40232975]; [25282560; 73322675]; [12135003; 71368651]; [46954427; 34429330]; [90086044; 55271881]; [97830031; 75420030]; [66421516; 72683013]; [24901423; 63680845]; [80330255; 96585585]; [27548546; 95791110]; [42281593; 19567321]; [23704777; 86541930]; [71922564; 87672873]; [92579622; 12515490]; [96221866; 63827435]; [52552952; 68714550]; [2081253; 26964894]; [34596893; 70170001]; [37811479; 17390190]; [81170106; 74577600]; [88272454; 73049667]; [66760651; 43092821]; [26607010; 6505560]; [60872991; 93105654]; [65316065; 68921608]; [36543605; 40396781]; [45635872; 85764757]; [58392334; 16156760]; [61395494; 79763407]; [2842365; 70553837]; [95368336; 84608386]; [33311927; 24404602]; [11459459; 86482869]; [68759521; 14774397]; [76547288; 49919140]; [98141772; 39692312]; [66137582; 89888928]; [19589731; 80218869]; [74268743; 41018296]; [66456916; 58667579]; [68352257; 56844659]; [58982324; 16260712]; [46563156; 61590867]; [53775786; 50920438]; [6196909; 87268779]; [92377587; 23545850]; [18259504; 74915847]; [56553022; 56930038]; [18185610; 64294789]; [67212146; 76857668]; [59147029; 28663383]; [31648957; 38604843]; [60950432; 99295278]; [21369446; 5466506]; [91321207; 46894685]; [89389084; 59679126]; [80967046; 16255505]; [74705218; 83798610]; [33122262; 85291037]; [13569081; 58803744]; [93063196; 17165874]; [70042869; 93660639]; [61453278; 96119996]; [63255251; 8987315]; [23880837; 23265621]; [39654754; 94740420]; [54439592; 82206329]; [73481685; 70683394]; [32942631; 85429278]; [34699671; 53595530]; [85393457; 33787138]; [68767142; 27503428]; [36108366; 56785513]; [66588916; 84118566]; [32905629; 20464265]; [96256486; 61026816]; [13734620; 72122315]; [3858388; 77474715]; [22339970; 9194360]; [50109108; 73050228]; [41474822; 97316879]; [39105813; 45131843]; [38377922; 70701222]; [18115341; 44197146]; [17943127; 6827749]; [70667429; 34604040]; [83057497; 96077509]; [36392453; 61571505]; [65013711; 7057788]; [16039149; 21519425]; [46505613; 67261767]; [19650286; 88391329]; [86349626; 20404483]; [482672; 85138751]; [23321574; 14481849]; [19963671; 47497367]; [6482893; 53698172]; [7830192; 78962902]; [75035463; 88821944]; [80185706; 5714420]; [98235389; 69017140]; [84509796; 3731288]; [5873390; 6323964]; [17286911; 32476734]; [24824518; 75825527]; [73676462; 19500990]; [83670626; 72988393]; [37179338; 55213477]; [86537187; 96475740]; [13452937; 2987701]; [95242564; 74317858]; [29582561; 69098012]; [15789752; 6035868]; [82819302; 49272404]; [95460248; 78528680]; [67801005; 10149817]; [93126528; 36219122]; [70501379; 35695187]; [66524957; 69943593]; [39446581; 38285525]; [71476640; 92112088]; [78359454; 46348429]; [86715130; 57817074]; [72524802; 61430171]; [8883728; 45126726]; [11304598; 39757512]; [6445962; 95900014]; [30264634; 81085131]; [7980488; 32139175]; [26186222; 40399946]; [5131184; 8769403]; [5214482; 41273569]; [46775055; 2084417]; [50777240; 94977513]; [2088252; 83897152]; [26879573; 61953258]; [9352097; 69207516]; [31662094; 79011493]; [62453222; 85826787]; [12275281; 84132081]; [28095081; 8006255]; [49802431; 84816458]; [4622551; 74725624]; [53322369; 47690466]; [61560332; 23804035]; [66818330; 23791145]; [54541582; 53838478]; [61636818; 20285918]; [40199496; 15097659]; [18998280; 22001768]; [22104557; 91158456]; [3994649; 44969590]; [32355435; 77284828]; [44074524; 7116756]; [54359545; 5767387]; [69320694; 55958512]; [54637745; 86357756]; [12899912; 25461131]; [29892791; 37918214]; [6968427; 12429355]; [25165015; 61868567]; [88104111; 11367546]; [40630102; 28258547]; [27628614; 3603842]; [21161345; 77962390]; [39738734; 54264267]; [75720311; 19667341]; [28516841; 75700210]; [4069174; 67543020]; [55785271; 18062721]; [39673027; 16466675]; [73935204; 58990114]; [61553217; 91026782]; [92944923; 47121746]; [75080121; 55472374]; [72856902; 76386712]; [69211320; 78835530]; [33371247; 42010511]; [75989010; 49586097]; [68533757; 60005495]; [8726874; 17433146]; [16121995; 7109889]; [18717375; 17557709]; [14265021; 9895153]; [32337782; 82230066]; [99731704; 48343827]; [82141916; 69863707]; [27257978; 96353052]; [88415269; 93554405]; [44107566; 18103990]; [45535330; 21081747]; [76888504; 35546951]; [79596760; 39803556]; [79840757; 88899631]; [78760881; 59349293]; [5939498; 94275560]; [19800056; 73818502]; [54006696; 10634396]; [45992630; 76589989]; [74832029; 23247962]; [74309103; 13773377]; [46658434; 69710938]; [5047113; 37786954]; [37778163; 42377362]; [89462790; 16047217]; [88220651; 40770957]; [14437121; 81839612]; [94843459; 77773460]; [71628237; 26790719]; [84923186; 22012848]; [1072860; 11620268]; [94176527; 92873555]; [83490147; 76947503]; [4065559; 75559061]; [60001739; 4242048]; [28048123; 20321892]; [13231937; 84505505]; [35103985; 31640696]; [7237611; 99911091]; [31749062; 24899174]; [69305175; 11043952]; [44209488; 88796795]; [19728634; 92736110]; [29477360; 30979393]; [97203081; 84023848]; [76220594; 47613063]; [34871565; 51314757]; [7728890; 82209444]; [47127722; 64574007]; [78832542; 93430160]; [70583563; 45102264]; [93052923; 97434085]; [85419223; 86086466]; [24755688; 1963384]; [99557068; 20414364]; [75618525; 96866865]; [30336005; 23855709]; [38177708; 98828681]; [57746650; 66597388]; [74135529; 98554343]; [16511324; 9162270]; [74775555; 44523153]; [45217885; 89939513]; [97029368; 53848378]; [30539759; 74225228]; [95230730; 15032813]; [94228000; 47877638]; [31075812; 124506]; [14492920; 99610160]; [31069798; 65748355]; [20070976; 53966965]; [75062159; 10649713]; [40125790; 9757720]; [22736920; 57114170]; [30291028; 68255219]; [74189195; 21791968]; [331125; 54669543]; [90614176; 51351807]; [91732725; 81849486]; [87161295; 95483846]; [47378244; 87195363]; [60295086; 77446342]; [38751647; 67908266]; [30401858; 55379930]; [30207621; 29384231]; [21449590; 67627977]; [46874004; 63448735]; [19284748; 45599061]; [2098309; 79603168]; [82261376; 10164680]; [66710246; 29393847]; [77018817; 29220149]; [40973707; 49113091]; [45389595; 68001659]; [27501282; 18658345]; [48601618; 40095767]; [51669493; 98813455]; [84607201; 58393773]; [26193846; 97634170]; [22280512; 89727071]; [91266959; 9243553]; [63346470; 36196525]; [2156276; 44336414]; [81405928; 30292700]; [43519803; 62253499]; [39137408; 13858663]; [19366693; 94724802]; [49473731; 66781144]; [67300745; 74930665]; [52052121; 58378662]; [22747210; 14265573]; [90882403; 28030941]; [66730780; 15963164]; [47262897; 40201146]; [40994163; 30784330]; [7702678; 91905335]; [81766133; 97901220]; [46348651; 53237227]; [42678582; 11680252]; [99395300; 62123876]; [95206423; 6480704]; [32482979; 29330931]; [93756068; 28942577]; [23379701; 83918568]; [90964200; 88303605]; [45152294; 91733842]; [94436800; 92452267]; [11605476; 28343232]; [63786275; 53533193]; [54579552; 33945763]; [98343858; 83860859]; [57136472; 70088304]; [99032548; 7839629]; [32254318; 75297901]; [3529715; 46323672]; [65710242; 46347660]; [90106556; 98783696]; [59608650; 56857177]; [8022310; 54758754]; [37765068; 57320810]; [76382534; 36268657]; [19799726; 71094753]; [6891188; 35249103]; [70712135; 72422429]; [44340803; 42582278]; [92588183; 60028070]; [78356498; 73338379]; [1862737; 16791180]; [99051148; 28407622]; [42119287; 18801785]; [38717169; 66079226]; [4966475; 96008129]; [86743633; 74243169]; [95280618; 12440273]; [68693587; 85795997]; [24131113; 65633639]; [46587669; 99796991]; [21644851; 51495022]; [61354297; 16708128]; [8039206; 48719244]; [27349375; 99452075]; [56172003; 86880215]; [95631016; 3542625]; [43997336; 47714179]; [78029860; 68044482]; [11518985; 88186741]; [34545244; 54468054]; [87099065; 50867435]; [61689286; 97014086]; [51594950; 83996953]; [85066299; 96948916]; [728366; 7676159]; [72333118; 59610764]; [59035057; 50880841]; [28910192; 37695268]; [76649240; 73765320]; [62735658; 55718308]; [83325709; 54598108]; [27946930; 15416589]; [2320435; 9459341]; [8398451; 86346890]; [83855863; 25551381]; [17959406; 60968893]; [99285150; 1019717]; [96354017; 74997415]; [81306668; 19621801]; [60590284; 19270289]; [70934732; 53361977]; [80618392; 95813522]; [25933500; 81852991]; [85531217; 63946444]; [64513075; 50522080]; [89664894; 61878312]; [129419; 7043151]; [81271866; 99068881]; [49715310; 91496445]; [73848034; 75649396]; [46961639; 30209329]; [21261695; 8910912]; [24095311; 37521669]; [57724996; 1850274]; [78091840; 52262276]; [29028831; 76874940]; [50261623; 18107572]; [21520151; 96046242]; [47766042; 44268344]; [84534461; 65378225]; [85277070; 49327285]; [14254536; 67593282]; [64099081; 40567578]; [66012407; 14569429]; [53700944; 12514464]; [99650296; 82694760]; [53293684; 66570839]; [69008786; 38674981]; [11516742; 49955290]; [93691907; 69127301]; [95014738; 85458062]; [64590896; 17242542]; [39138050; 84820203]; [79696280; 70884523]; [94309412; 6860178]; [58569252; 11476]; [78719724; 40069220]; [74500740; 21500950]; [11637875; 63276370]; [91994508; 79075430]; [88919842; 40216810]; [6643820; 42352777]; [81268226; 2140832]; [68621033; 57839078]; [25515462; 14594676]; [12941092; 8799805]; [30692712; 47077070]; [3338188; 9481496]; [87009275; 52286460]; [26903732; 64151133]; [13105856; 62329547]; [94521822; 12015489]; [11568134; 54142574]; [31219903; 49491106]; [63581140; 41647187]; [50955793; 45655507]; [94578769; 72648236]; [43094938; 1597361]; [3501363; 84855295]; [95796689; 20980247]; [67306446; 20068176]; [4591623; 85194773]; [87182108; 31101495]; [51736895; 88854476]; [29082276; 66616535]; [82923243; 21506870]; [77027834; 72650385]; [51783113; 57018621]; [48071220; 9616802]; [44674165; 57420909]; [71034575; 7753613]; [34908086; 44896110]; [73626298; 97876208]; [58079521; 60554623]; [69141123; 69698946]; [57443788; 98611540]; [11981741; 58166923]; [98897802; 20655317]; [35628345; 57107633]; [39281858; 80790702]; [82298732; 43016443]; [74352877; 71571346]; [26836273; 44877744]; [956527; 59455906]; [62605275; 32972808]; [35319200; 45139405]; [50215660; 26572744]; [17303617; 58308628]; [25242673; 29849220]; [50834376; 75917691]; [32683581; 25232343]; [19095784; 23018696]; [27749703; 69681073]; [77054650; 47744256]; [92161083; 78149122]; [83178050; 89411588]; [57745740; 82064538]; [52650756; 74312543]; [23828457; 34047863]; [16456524; 5138499]; [49811944; 24075294]; [28166279; 62801292]; [12087318; 38249021]; [14582381; 72220856]; [61514644; 61340598]; [11653116; 90979017]; [43509964; 3639254]; [93761885; 57877482]; [6299820; 11639978]; [54986130; 70825885]; [10193540; 31305465]; [55935111; 87090563]; [56976672; 29246611]; [53256668; 96580403]; [70202344; 13212216]; [20819392; 93800108]; [34571256; 78656985]; [3668907; 14197542]; [67973966; 67988721]; [29678171; 36217552]; [79045648; 42132238]; [77023413; 82737586]; [70991732; 23617641]; [37719427; 93626583]; [54229080; 31059486]; [96104485; 14469848]; [64862047; 59571463]; [97798152; 33163639]; [26708183; 47241399]; [50451711; 91590447]; [877545; 68575745]; [56093304; 26439795]; [59398852; 3030532]; [78423378; 65111233]; [87015578; 20365374]; [37113566; 76466242]; [36042070; 70628364]; [86517549; 91450981]; [72099372; 66203032]; [71239239; 18602311]; [19164445; 21001726]; [94470863; 88195801]; [46861603; 53127683]; [78067260; 99470657]; [51912329; 51394741]; [2261725; 67854120]; [4462358; 56457459]; [48608534; 13491879]; [65182226; 49655697]; [22643567; 49498645]; [89617056; 85906187]; [10845418; 22792436]; [63727743; 89882815]; [85281621; 79829987]; [97264576; 13311044]; [85341243; 59216895]; [22533569; 81523109]; [96904849; 10596866]; [30249621; 68747395]; [72448946; 86820628]; [77022146; 76784175]; [41787151; 85292683]; [45769045; 49623029]; [96133545; 25264643]; [95363015; 13432743]; [37373892; 61093803]; [79623584; 77350232]; [14078043; 42829537]; [7755488; 83118844]; [71789390; 14450662]; [84545008; 46617584]; [64692183; 10215780]; [53882707; 7444171]; [12513369; 68466509]; [78855834; 80899329]; [26428677; 37971803]; [10983179; 45663564]; [8397096; 25058618]; [97465650; 27227743]; [19314352; 6945369]; [57808002; 82450979]; [38231588; 91261785]; [67851230; 98435982]; [66112669; 49957863]; [18887675; 48043553]; [72119515; 39361443]; [24256157; 97184437]; [2859605; 17041893]; [16901556; 9632434]; [93538973; 94604043]; [41527583; 44100998]; [5514664; 95739517]; [94812007; 5293614]; [43016347; 2149309]; [58893167; 63170633]; [63796652; 94518880]; [34177003; 70790248]; [69380222; 25953658]; [3011147; 81840487]; [57648215; 84654670]; [93433319; 28554473]; [28010799; 51608953]; [82611525; 84996847]; [58358858; 41154958]; [82921400; 77015648]; [15668046; 64495085]; [21161043; 77192483]; [50865904; 12847324]; [26030621; 65277441]; [49080076; 57305800]; [26219798; 27482504]; [21470510; 42390429]; [28530073; 94278709]; [89117734; 13392121]; [34348; 62578646]; [33890267; 5520750]; [25005594; 86579077]; [43189434; 35945280]; [34898565; 83715258]; [14966523; 34878638]; [75906546; 69434056]; [41748884; 54716565]; [24615246; 6616790]; [57572123; 94542246]; [14677644; 53185871]; [97622939; 13008403]; [45469142; 22614958]; [27334828; 89580795]; [54931862; 2973355]; [23520900; 48059235]; [69999333; 37927286]; [728759; 18904101]; [76930606; 37317973]; [2261701; 57373548]; [86339944; 36824797]; [69301540; 386303]; [72122434; 72472220]; [12518504; 53389342]; [298461; 25387728]; [60473680; 29827704]; [80404267; 71164390]; [6047558; 58501600]; [87070171; 18416876]; [59186533; 25711660]; [28500490; 63982981]; [71877003; 2450622]; [98443197; 91331650]; [79392936; 60203497]; [37355316; 14478230]; [32591625; 42768496]; [59247921; 28874659]; [24603015; 4411355]; [12644621; 76043833]; [35941264; 45860414]; [17324894; 17936070]; [37013848; 88172344]; [63313908; 79100343]; [47569877; 47754171]; [15997078; 1437184]; [65744064; 836899]; [27489398; 42011612]; [11391509; 69593122]; [13407327; 12898281]; [99683714; 3740982]; [51258771; 74886048]; [67985984; 7304815]; [84747373; 95036140]; [54448180; 42914176]; [56997789; 82221125]; [91021283; 10151694]; [80635166; 9878601]; [56654591; 91431194]; [56764665; 83602365]; [56157012; 60790842]; [926592; 16653796]; [36086969; 14277001]; [70988841; 99255668]; [77605864; 68207669]; [8514445; 60739414]; [75638548; 7373503]; [80540617; 47614807]; [63750458; 45043640]; [44108594; 59352983]; [82629776; 1444051]; [48882779; 95667898]; [738425; 57641782]; [13700885; 34368056]; [75448332; 42206446]; [93502932; 82368401]; [38430954; 29122892]; [12876250; 26586835]; [33588261; 12766617]; [56139863; 85142920]; [88931021; 59307535]; [72265606; 74606833]; [2223426; 72688089]; [34548665; 32030864]; [42321191; 10213101]; [15754132; 24684482]; [77451818; 62987733]; [48022663; 69423766]; [78240812; 48668947]; [26739957; 88166942]; [2184515; 52907938]; [71166028; 15843143]; [40483659; 66302556]; [25843602; 76450041]; [56908345; 24940366]; [16207307; 94342500]; [6352427; 68292657]; [53674292; 35572224]; [90876182; 64758693]; [34119928; 46112383]; [73767040; 48954769]; [7337251; 93645463]; [38652473; 80720257]; [15939097; 79428975]; [43944483; 79744634]; [47917745; 64500449]; [32373718; 29819184]; [26658721; 42263121]; [70352682; 14669741]; [55790199; 10495885]; [77337332; 2342873]; [77656066; 34814055]; [93256514; 91655180]; [82968611; 59974453]; [14653364; 23894993]; [51786951; 19426169]; [94713343; 61631129]; [4638343; 79670355]; [69001658; 68990972]; [9367085; 5606083]; [64737054; 47482875]; [24352050; 18925703]; [48663216; 48567341]; [21938107; 55156777]; [69930541; 91824815]; [80452042; 71125840]; [69878674; 36014325]; [38639600; 82656436]; [68242409; 70974987]; [66284573; 47954249]; [12450974; 47239886]; [67221905; 88953160]; [49433365; 83149355]; [11674738; 15357415]; [31311942; 49474412]; [33207606; 32246957]; [98928814; 39337388]; [26963161; 83816905]; [20773827; 30979358]; [24947480; 68960586]; [87961550; 25282790]; [31739438; 29590972]; [41606269; 1630757]; [39909941; 74525153]; [45010171; 27896340]; [3127676; 58384632]; [86766175; 9240810]; [79730480; 17186013]; [93109719; 47874770]; [27804343; 31556687]; [54153804; 28699624]; [6211133; 89730686]; [45594643; 57589040]; [73533631; 76548080]; [24102716; 33356474]; [59579994; 64971532]; [4696449; 9856561]; [9051668; 82715620]; [89850037; 65617815]; [82029119; 13207383]; [56273091; 45177712]; [89342251; 14392138]; [6856986; 58690072]; [13750067; 81088121]; [29010976; 41904099]; [48499462; 80282186]; [89892272; 32433189]; [24308756; 52910432]; [95830756; 6309465]; [64418567; 82813867]; [71922176; 16000093]; [88690885; 97330580]; [34893259; 27249206]; [13016189; 67253280]; [14668875; 12569634]; [25500445; 28298332]; [45574262; 6222130]; [86678927; 91005537]; [47451931; 10881469]; [10685694; 87020692]; [37512403; 3704707]; [9556729; 97924544]; [85119441; 72206320]; [12838522; 31494306]; [52955728; 15965315]; [40530108; 85972536]; [1423968; 98395449]; [17994823; 1026748]; [48276435; 30487761]; [40671920; 72876098]; [6297569; 44939964]; [99662740; 98285264]; [88300623; 66077307]; [42708974; 46984527]; [26433580; 84786312]; [77136406; 38948146]; [39883992; 92343203]; [69419306; 38904003]; [91059895; 65738292]; [85442992; 4638500]; [17553683; 76665194]; [5717565; 77612462]; [36744748; 6792875]; [73086888; 89727385]; [5538553; 88625379]; [39780090; 79726672]; [97078903; 55736970]; [66909140; 83821073]; [34812179; 48285656]; [47212246; 57167225]; [62567171; 44439037]; [97713950; 11196797]; [72487893; 4336425]; [7380840; 6365751]; [84211116; 17839905]; [91631469; 90436225]; [35808521; 44696193]; [36210648; 76889358]; [91023407; 4018543]; [65256212; 60589283]; [74277101; 11966848]; [27340250; 59858215]; [18304993; 31903018]; [14150197; 1745271]; [54950130; 15606361]; [83020702; 37639411]; [79826088; 10896195]; [4594105; 56541148]; [81967409; 36827002]; [54345907; 88862851]; [61760053; 56678223]; [9315203; 29005122]; [59840852; 87671882]; [56202241; 48457071]; [10182982; 47086464]; [96300506; 72540250]; [73896961; 6938669]; [90111599; 19968162]; [16642357; 24313234]; [32472676; 1602422]; [95103485; 47228111]; [87613270; 849814]; [31657783; 64484915]; [16963352; 66707046]; [22223640; 60034434]; [40782148; 54770458]; [54930399; 30348475]; [18337194; 58970554]; [8548990; 38265273]; [58096450; 14420987]; [27969669; 90312038]; [8722531; 41346957]; [10417008; 63914840]; [94115753; 1521577]; [65731536; 36412153]; [28038138; 22916799]; [45604129; 41965534]; [89231024; 88378842]; [68081005; 64470878]; [59503113; 66069108]; [62640051; 73464293]; [21569609; 40556982]; [80920667; 56149642]; [77875920; 57230272]; [20943727; 6950260]; [56592423; 83489578]; [99827691; 16150500]; [89005479; 15127974]; [93664024; 45844459]; [75386196; 31263989]; [82047746; 68952516]; [89124408; 19414995]; [8535918; 95256109]; [6320801; 9082029]; [86418295; 21793856]; [78755837; 11412675]; [89343470; 85056306]; [4988134; 38442449]; [22280206; 93843386]; [37884517; 24759233]; [41286387; 55005691]; [88034001; 83423207]; [63524490; 45035901]; [54969737; 21910419]; [47634617; 90396499]; [41174961; 86067095]; [75809209; 69852520]; [21776757; 92825405]; [99024381; 71515278]; [26740372; 17256892]; [71159150; 23977752]; [88140433; 19715900]; [84472911; 18718455]; [36005949; 97308165]; [8737842; 36340729]; [28717563; 45530942]; [80378058; 44684027]; [75753977; 58436951]; [65558900; 34809769]; [80410516; 17569895]; [55574514; 32150363]; [33442532; 70761151]; [77315028; 57935835]; [2399162; 39466430]; [23040445; 44338882]; [90470689; 18202146]; [87219026; 99912843]; [44306901; 91047625]; [29317506; 88705459]; [29876496; 43169274]; [92810922; 38109120]; [77118136; 51694836]; [3532492; 91605974]; [50652391; 67841362]; [28175801; 68052437]; [61866213; 10350723]; [76836735; 8567456]; [74594170; 76198151]; [55841337; 70400741]; [91834300; 35671147]; [94241223; 25699301]; [97673220; 6231350]; [34127040; 91930857]; [14359366; 81960412]; [23543313; 385618]; [21711362; 20700910]; [41552806; 13083280]; [39851473; 31552867]; [74365840; 74205620]; [85662013; 37580590]; [57054437; 66807915]; [11228390; 60676358]; [45707473; 49696611]; [45955273; 40915814]; [62675091; 26416583]; [75070516; 14555251]; [94145129; 48250703]; [68534294; 55421188]; [48281473; 1870380]; [94478998; 10413840]; [1762863; 62030600]; [22383596; 2534887]; [43061914; 97982752]; [80294866; 67363622]; [96529905; 71119505]; [54217282; 73712580]; [41432659; 73849039]; [15968339; 26173246]; [75334548; 99387255]; [31264694; 57768081]; [99162595; 18132600]; [85894605; 70990650]; [35275497; 26798596]; [41506505; 79718852]; [86080683; 80683525]; [4297538; 26043106]; [65683930; 25711308]; [48856033; 71126160]; [15789509; 1235582]; [60317943; 287368]; [96772625; 96136245]; [75915501; 73185728]; [62778405; 72842006]; [73276540; 42278498]; [85091909; 16993983]; [99421205; 31019913]; [82094905; 62416028]; [68026266; 45985769]; [67847857; 65812840]; [75342881; 47026088]; [64159018; 51010671]; [88937555; 84379162]; [69667672; 27252303]; [55618358; 11295801]; [31934951; 8702039]; [62106284; 83945382]; [32305032; 42739131]; [80848525; 87764643]; [31573777; 47771399]; [37534799; 46607431]; [71980143; 56431059]; [20507156; 17946125]; [65391553; 94662567]; [8016483; 5163721]; [7834879; 79395086]; [28352738; 63788324]; [91648157; 3671515]; [55632246; 30630533]; [22461102; 77092905]; [97110650; 42803641]; [15412272; 14375078]; [95923476; 8552613]; [21093008; 15957027]; [70072589; 71175692]; [86216777; 95438626]; [42525201; 16043710]; [24450613; 28750610]; [54278878; 68679678]; [29689118; 20579119]; [89360869; 7433954]; [6635669; 21091497]; [21023713; 71538427]; [30106143; 70011188]; [28302833; 7765366]; [94504917; 57253475]; [29896616; 45919862]; [57266309; 73619011]; [21222790; 207687]; [83229692; 98563585]; [95793168; 65530455]; [63715584; 17711514]; [89890312; 71355412]; [92846281; 39601886]; [42995014; 39923665]; [17193779; 60352647]; [75682823; 5484644]; [52573342; 9211868]; [80218408; 74447730]; [59999870; 24561145]; [69557432; 95445217]; [54618428; 77386116]; [7275262; 1537279]; [65555902; 75205378]; [64331050; 5223711]; [3632721; 91190594]; [4982072; 32466430]; [69274958; 45168778]; [77603274; 89827553]; [2325959; 68167972]; [35956990; 56196141]; [61734526; 28605805]; [26803511; 81719075]; [45380736; 43164376]; [30908271; 91606216]; [9052345; 32204233]; [32467742; 13215460]; [11397697; 6844355]; [17149550; 8624718]; [64866787; 66447453]; [99947077; 37250317]; [63791080; 54898178]; [49366707; 4633506]; [17604890; 5991384]; [96149700; 51733235]; [52140146; 67325368]; [36174633; 88108173]; [73452646; 47808759]; [37204355; 48733426]; [71971213; 95413197]; [64749601; 15508605]; [84274915; 28333597]; [34543053; 67087138]; [76940937; 39920251]; [80025189; 9718966]; [67624472; 11336180]; [32692636; 33154603]; [32972631; 41082626]; [48986950; 93254055]; [64973883; 14057940]; [30539066; 46926025]; [45124667; 44902980]; [77465863; 11095985]; [32774075; 4996717]; [83534912; 5590799]; [13382937; 71759891]; [55288723; 18020544]; [10231453; 82110359]; [84908889; 54517749]; [45385404; 95122060]; [76128807; 42495885]; [33186411; 89666882]; [2154291; 13298579]; [89831400; 74663194]; [77671072; 1245657]; [60036413; 60357919]; [35386979; 75463074]; [53079261; 51798540]; [43314109; 92616084]; [33859321; 87800577]; [85074207; 87232174]; [86464973; 65683110]; [67682913; 39575986]; [41527845; 85484898]; [97687801; 69461490]; [74527351; 20030789]; [6413121; 80897801]; [9518867; 66652129]; [19531834; 27069554]; [36934473; 57751285]; [6145170; 54630871]; [57785410; 36771256]; [9941073; 22636565]; [35055354; 4474502]; [59548207; 5871563]; [17620225; 46441244]; [81217055; 86263565]; [53206984; 72160561]; [42742156; 87539193]; [37937674; 96980652]; [39145060; 34769885]; [15635074; 39074496]; [17036097; 68793502]; [21975015; 90570707]; [13793879; 45990384]; [32031326; 80282821]; [98734629; 36782589]; [82928345; 67921787]; [30905422; 1523849]; [26233296; 42201996]; [59736763; 49754751]; [59479485; 7694233]; [28436114; 21564305]; [75868707; 62879293]; [16915626; 20144733]; [49734835; 86905827]; [44334893; 16229588]; [44890834; 93554915]; [48035991; 67526580]; [65476297; 23506390]; [38439256; 99278948]; [30684791; 58810887]; [9102186; 16061201]; [78534296; 53232429]; [40769747; 59174532]; [43155410; 16818774]; [21648141; 88560088]; [16152094; 75260512]; [95057494; 17861084]; [51211068; 24664075]; [464748; 43816348]; [2400135; 74423134]; [77839130; 73181670]; [47502850; 33699503]; [88142761; 48685029]; [87263888; 8885270]; [66159476; 73399973]; [66861401; 33506715]; [49089732; 52058965]; [36342440; 25992273]; [21042262; 48992811]; [11273505; 22187175]; [52720227; 78104803]; [41394443; 17724496]; [57660732; 11012605]; [39800380; 4789243]; [76040842; 62581564]; [73184655; 11463172]; [35128879; 37581048]; [99813246; 26534634]; [53669819; 21959306]; [66530352; 67805455]; [2227830; 15132380]; [36109636; 81366597]; [38303429; 4846335]; [77348701; 28132729]; [46432783; 16455164]; [32631149; 95523684]; [40516006; 24860458]; [6337812; 11786463]; [51629001; 99804804]; [87572345; 6660135]; [50178016; 8139577]; [34214536; 49039332]; [14187859; 79851818]; [65502086; 64607167]; [35021362; 15892870]; [55856382; 37359515]; [10197270; 47353951]; [27075535; 10089314]; [43739604; 17524272]; [97845865; 84484702]; [82675225; 90101749]; [22384321; 27395990]; [685895; 70724388]; [89206998; 55176075]; [36188892; 77799647]; [14775547; 45364537]; [28249918; 36677515]; [68581673; 88220572]; [27676096; 14125228]; [60435175; 61601078]; [88538508; 897239]; [8969918; 17446275]; [67783921; 11796598]; [80215761; 16969832]; [49104663; 16981519]; [14967319; 16480250]; [70724365; 8754431]; [39395374; 73607810]; [19794366; 69704692]; [62738784; 56400710]; [80587040; 52752600]; [7598127; 11890040]; [26439909; 87862191]; [92502114; 9333048]; [55601082; 35905045]; [83794952; 39813319]; [28249189; 26971068]; [42294928; 18535469]; [95575162; 94566778]; [6639507; 10888429]; [60015497; 20156251]; [98444111; 803313]; [8934059; 47620302]; [14504745; 43522851]; [5268622; 78694497]; [26360439; 89036077]; [23020365; 76376823]; [3124763; 60262074]; [62693193; 72203081]; [60800032; 16743106]; [22578566; 28164225]; [86522331; 38525794]; [39076102; 40664083]; [54223544; 78126088]; [19902289; 3395025]; [67497488; 14654279]; [71296646; 51006661]; [56981357; 43915746]; [32431648; 85706822]; [9676683; 350074]; [1275865; 5323660]; [10833676; 8972664]; [69664859; 55979597]; [770188; 77287484]; [82802396; 29362815]; [52925285; 41543047]; [58173736; 89498415]; [86842522; 53092454]; [11964986; 72431252]; [86734373; 32318602]; [57671815; 11922180]; [67327773; 37513321]; [94407612; 22279489]; [11968884; 17224770]; [70569575; 37679217]; [44933159; 22076205]; [58215364; 14008215]; [70257328; 72679284]; [11680422; 16320744]; [33188452; 27568194]; [22801744; 36010977]; [95141922; 19786317]; [74818469; 53184948]; [6991; 94296103]; [6682572; 23967290]; [47671666; 42051146]; [28402015; 71493415]; [38747078; 81625736]; [33102498; 49674061]; [92950677; 56396404]; [5478376; 71703969]; [4731930; 18143464]; [97545381; 16278273]; [13271166; 5686882]; [75567369; 38770974]; [84756549; 60277011]; [39388534; 84859677]; [44862584; 2773981]; [48980463; 55687798]; [35737601; 32548919]; [23963999; 99568041]; [30820373; 18216890]; [92780830; 79181402]; [76216103; 5373485]; [30721637; 26953282]; [46820321; 52124753]; [1999284; 41567069]; [9155785; 86669861]; [38192559; 32762282]; [96625835; 36762817]; [12713666; 5877698]; [76627992; 67850862]; [39879323; 65107302]; [67158643; 67355730]; [28086915; 91250430]; [94854510; 31188933]; [92656580; 49697835]; [26398263; 54957826]; [11520442; 43681630]; [25816542; 15042108]; [47246048; 59881937]; [4954047; 48189191]; [8394906; 43041643]; [95427872; 74406998]; [7620537; 55942525]; [1889620; 67676222]; [76564349; 31197599]; [34971803; 46470806]; [16815865; 43778250]; [26960198; 20875619]; [81731227; 36062295]; [90504660; 73997034]; [70431576; 17957078]; [50732671; 60401137]; [6919034; 64400731]; [87700710; 76539445]; [91472873; 20479833]; [27618666; 86964232]; [92214221; 60010051]; [33567571; 98494389]; [1178109; 37333642]; [72791083; 74315470]; [55100404; 20919503]; [79889384; 42825195]; [53927174; 27885090]; [90923967; 42655425]; [88835481; 36214099]; [25623117; 30052624]; [80181625; 52872369]; [16136249; 85641559]; [74072159; 23498252]; [21711337; 95246173]; [76667506; 53709611]; [700008; 2321404]; [64857961; 66692591]; [99298294; 3603353]; [38671310; 25590299]; [94819600; 74995468]; [80453665; 60724926]; [62691646; 86988356]; [27625807; 50895968]; [34276562; 78381693]; [81937998; 95266335]; [77940882; 62193190]; [62329834; 44310064]; [51653952; 805786]; [63334343; 70029066]; [60862509; 52979611]; [5876399; 98271954]; [52603083; 6125632]; [19762575; 52676248]; [91624381; 31581104]; [25095948; 2106519]; [110934; 75239943]; [69539956; 33156330]; [38154624; 74008429]; [40666502; 89229102]; [85499422; 55629862]; [3793539; 23102016]; [49445184; 73003589]; [24388769; 92466366]; [58660504; 53952041]; [83636380; 42587030]; [3061307; 91280775]; [73721872; 11692906]; [49117787; 53460626]; [54273645; 73578565]; [82954676; 83400917]; [95702661; 19584347]; [88952880; 36972948]; [70836516; 8593766]; [17489545; 41263561]; [5195935; 49549941]; [49159107; 82982425]; [66413838; 865687]; [56552403; 81043035]; [30564032; 22669151]; [47103036; 29143669]; [98498482; 47429610]; [74077250; 87247829]; [43696126; 81640250]; [42487357; 60033422]; [57744722; 44963327]; [74720498; 45745348]; [23072433; 57246743]; [15791825; 34658681]; [6048213; 8832946]; [57593721; 72343557]; [45515566; 21078587]; [61172664; 78707185]; [96337832; 18461974]; [94907779; 6193529]; [19871739; 93006336]; [92634181; 17376416]; [99530648; 22128304]; [54181094; 38591879]; [28393222; 77340274]; [42361671; 17076047]; [41417103; 79777358]; [32095204; 96800617]; [77090104; 59048356]; [11042594; 13337452]; [87061389; 41769436]; [74599315; 85459050]; [21892826; 54909669]; [73056774; 41306326]; [20843109; 96238608]; [22275853; 70607931]; [80883848; 44840192]; [17724686; 34780602]; [63321922; 50622421]; [14295285; 27451066]; [73179893; 87206569]; [43171872; 20686228]; [62789047; 84157591]; [11629752; 93005126]; [39270132; 8326879]; [51544145; 21585535]; [36171344; 614346]; [42109837; 40011631]; [39809644; 23263313]; [763222; 16398844]; [3626383; 93569096]; [21582273; 60409690]; [28738776; 9025362]; [48891877; 87445985]; [17933616; 23230332]; [65963564; 17623770]; [16915784; 13461008]; [85875389; 36846698]; [7413805; 93334316]; [90593171; 91657523]; [49319511; 72095419]; [67447301; 25265416]; [41769318; 40965826]; [33541268; 40260455]; [44791885; 60977912]; [77823843; 71045301]; [8909840; 78451016]; [7870773; 66674548]; [16058905; 17555921]; [94460682; 10890526]; [73902147; 61330251]; [65243232; 1780280]; [65249023; 89455991]; [10183226; 12762480]; [65337306; 33330430]; [24691622; 93475776]; [78768759; 27447124]; [13821827; 9254672]; [84544449; 37077084]; [67784942; 46681386]; [46716996; 42526758]; [887014; 55355937]; [49601140; 84835005]; [5620117; 69011226]; [60688441; 77777575]; [57306682; 72866670]; [43181973; 97763758]; [28158145; 30875337]; [21438068; 39069436]; [36635123; 6716487]; [85584783; 15322430]; [96894684; 787639]; [47061917; 4821568]; [2952198; 94476912]; [76833344; 48631274]; [11930688; 28980045]; [4507941; 89085790]; [26741351; 88801211]; [32421340; 99367808]; [9524653; 96667]; [52312987; 27176163]; [89919157; 11765130]; [24211702; 25389946]; [48633027; 374458]; [43751787; 45629836]; [95597172; 45569785]; [63812120; 71844651]; [66942486; 99360993]; [97134845; 90348212]; [42241796; 3072127]; [31262373; 26474092]; [79536325; 54909958]; [73849283; 11939576]; [82211588; 97394034]; [25230283; 72537228]; [25026894; 78958877]; [549438; 21893672]; [28994802; 11081625]; [22483036; 48962979]; [70150568; 2487484]; [64587718; 11722331]; [95098171; 41607139]; [1624615; 89668622]; [78890926; 25349913]; [69514657; 75337270]; [29505571; 63100125]; [2439793; 30670151]; [92172793; 42213922]; [4726737; 8062136]; [77545617; 19835180]; [54125894; 86399229]; [48363419; 87197617]; [60558872; 59838121]; [89373581; 15097802]; [5826744; 58277464]; [33562387; 98216183]; [19723605; 17706739]; [69302831; 58796239]; [74480774; 6883907]; [51562775; 17972163]; [46423039; 39191348]; [8167662; 48312915]; [7128478; 79686021]; [74213997; 28255611]; [51061100; 84434987]; [2475761; 73151948]; [76691465; 50969677]; [16612305; 6684111]; [46150246; 96006109]; [13709666; 38430746]; [43098414; 28815691]; [86663554; 52541561]; [45612380; 73060069]; [14787848; 44214472]; [10927114; 41463108]; [16242746; 22051213]; [90405773; 76817824]; [10434927; 29683369]; [51424937; 42995433]; [28875326; 75675512]; [62571476; 97768226]; [66294117; 13605306]; [66032273; 62264684]; [91298434; 83110287]; [80226838; 45305691]; [1450560; 41198658]; [84284083; 64899323]; [6743248; 26624808]; [23603289; 7880047]; [28144301; 26748737]; [27847059; 63446268]; [44648408; 63942215]; [73922022; 70942922]; [99977241; 40082833]; [23072916; 85664525]; [38485174; 4286045]; [53939042; 54195937]; [16319231; 58577184]; [71300563; 60381682]; [90152341; 2167678]; [22158312; 53804096]; [83597845; 24988859]; [69012953; 84346979]; [2959539; 79906287]; [54246172; 99997760]; [94436745; 74710753]; [93459777; 24328127]; [89104008; 20587929]; [90190776; 62382990]; [22768741; 96448745]; [76472059; 42121822]; [39932100; 47673799]; [8863387; 73053207]; [44570766; 57736218]; [119400; 57585617]; [62066476; 26041787]; [63793219; 84347145]; [13710871; 99205072]; [45372548; 39779899]; [52380269; 51575209]; [55148374; 22414403]; [52130684; 29035082]; [14973833; 25701923]; [67322020; 83744069]; [69412396; 27817501]; [89001933; 17770031]; [76103752; 36150351]; [80085534; 37764536]; [48104719; 49327181]; [84200326; 913733]; [8821281; 9351145]; [60515296; 10897226]; [85224625; 94619260]; [19829970; 53532505]; [47831099; 22865394]; [42731914; 7332499]; [92925262; 27846456]; [50649966; 16438466]; [58653856; 23710418]; [25844732; 93132771]; [60112673; 38295388]; [68359496; 59962576]; [19390770; 32453856]; [4806514; 57328931]; [59313388; 9983535]; [82610025; 34725818]; [28433271; 1377076]; [19782465; 82372576]; [72835425; 82404137]; [750941; 30415924]; [20124469; 34447758]; [30482848; 17820354]; [96040338; 59888726]; [24732815; 23468557]; [3628362; 86421354]; [85541339; 79408210]; [86920539; 99230781]; [24440678; 23790228]; [21950397; 1465511]; [85829301; 47477877]; [22193671; 47894183]; [37390640; 59620365]; [29022216; 17167675]; [83739221; 42582566]; [75467432; 52362681]; [60841141; 80495711]; [82337001; 49032709]; [55064783; 65934928]; [93940485; 29358677]; [16211499; 14007514]; [2437958; 4294006]; [17317228; 11874228]; [10966063; 31076837]; [90033748; 99839433]; [72557420; 44510638]; [34340496; 23596267]; [51272376; 44760791]; [85944547; 22215559]; [54420054; 89147503]; [42325781; 46662394]; [84094826; 45900199]; [43551201; 34044932]; [9470669; 17882050]; [10117308; 4875297]; [59530686; 51528842]; [51744199; 59066886]; [65647044; 78916567]; [84738623; 46223396]; [28265784; 53012948]; [69607033; 62415741]; [37149192; 76364135]; [79657012; 19034296]; [60193139; 93668890]; [8641908; 97759939]; [60123189; 59279854]; [16530938; 60262129]; [93381037; 29067654]; [10768458; 99003190]; [4338071; 16116436]; [11384640; 9156942]; [80180570; 17896635]; [70871129; 96502140]; [52633787; 9984309]; [30176143; 46420480]; [46463391; 57291255]; [46899801; 74827642]; [49923199; 58833112]; [31852577; 44914416]; [48048543; 47709409]; [47164181; 97051457]; [10837166; 55098385]; [70934995; 16981418]; [58347764; 96965408]; [46791850; 62602531]; [4191923; 36521407]; [53609732; 1815603]; [46511381; 43642312]; [36629969; 44213274]; [46500306; 37678899]; [33214189; 39732955]; [70603269; 45304152]; [48017025; 62187257]; [51567388; 61854142]; [79317084; 38143306]; [41991784; 4460339]; [51872679; 19807254]; [3087680; 43160374]; [87309349; 20843911]; [26438724; 19714268]; [84446781; 4359208]; [25295051; 28866833]; [78065243; 18891005]; [29144727; 73594681]; [22522711; 53855073]; [47484349; 51379456]; [24482785; 10959680]; [31049670; 44917673]; [13893206; 78038512]; [15956422; 33500703]; [93038006; 40420120]; [28886383; 10008802]; [77447391; 88786320]; [32265339; 99287062]; [57569912; 70501557]; [54187193; 79720451]; [74556407; 90469613]; [15438574; 78380939]; [73747058; 23351866]; [47450983; 16672156]; [68547808; 56795137]; [46761721; 93432146]; [60279092; 25232539]; [43378198; 37466421]; [81320101; 56639552]; [48718888; 1936909]; [82500555; 1598984]; [23230335; 75933737]; [43786263; 71402582]; [2348744; 55748514]; [83019912; 17969447]; [89973510; 24588142]; [66020133; 28615144]; [50919517; 11464412]; [99382330; 71879506]; [40531682; 531243]; [91527614; 85624541]; [37770255; 99225201]; [70353932; 26353988]; [32285745; 62700365]; [48010971; 77641924]; [57477067; 29863946]; [32561445; 98030960]; [93265575; 38326587]; [69644481; 80082739]; [9720722; 10748636]; [9327459; 37713178]; [13575482; 59625038]; [16372300; 92928337]; [60758527; 44415601]; [49627523; 51851530]; [86092076; 82828555]; [16377005; 73713940]; [69724990; 10661217]; [60625419; 625900]; [30359713; 50751815]; [95062952; 78778996]; [99110576; 40657698]; [24614202; 57140282]; [74159646; 900358]; [41378565; 25825917]; [72534817; 94249340]; [70435366; 75239606]; [40400492; 6673597]; [2423490; 87878589]; [53689561; 30661591]; [27355778; 4938595]; [82688161; 46780363]; [8016896; 36790178]; [72200519; 2655670]; [89692306; 25887459]; [28964497; 47028311]; [37600557; 81648947]; [53260233; 59798541]; [21573432; 48817542]; [89442783; 84736105]; [71760837; 71834631]; [53439709; 48808637]; [63201254; 10137438]; [26452337; 53240568]; [78349453; 12554149]; [92764242; 35814108]; [61382283; 6268773]; [68606619; 25590205]; [80381040; 1346829]; [66266922; 22304578]; [5724838; 28273374]; [48478644; 74518488]; [94123700; 5951125]; [70603076; 25367095]; [47457764; 7762564]; [80364176; 27519352]; [19661898; 49632537]; [16368484; 36692143]; [96769703; 85506904]; [82648700; 95507784]; [88001469; 11039647]; [66830931; 22384660]; [50590365; 16681961]; [9015995; 20151064]; [91606432; 637512]; [52678034; 49643226]; [88102105; 19036117]; [19363706; 67693234]; [8586753; 65135725]; [99076977; 8855064]; [21821994; 2119648]; [40395461; 3279814]; [35745276; 55195099]; [6214556; 36358468]; [72341642; 81958806]; [86966589; 93789705]; [57170573; 28984626]; [52490641; 7539767]; [1616482; 35190797]; [23164803; 92995892]; [30371538; 56421563]; [47323476; 91502361]; [6398255; 14253690]; [13845928; 63624795]; [77795643; 73010345]; [58256086; 21574797]; [52215838; 53129856]; [73868255; 38010717]; [56618237; 6457663]; [46647200; 43939202]; [53338653; 21313732]; [19716877; 30162578]; [31592269; 9916339]; [53399559; 1868718]; [23087649; 70274420]; [74991122; 9906112]; [57141726; 49293449]; [28241435; 12441664]; [13229323; 78900097]; [90443951; 95517995]; [54285397; 66064356]; [66188214; 97321942]; [79664516; 10262624]; [14126355; 47646318]; [8026210; 43642709]; [9445063; 54425888]; [94171770; 75828950]; [81507210; 375487]; [8852675; 7051389]; [88413660; 50242935]; [13091131; 29411016]; [11033760; 21631787]; [86786648; 32578880]; [66456503; 24687932]; [37016942; 25654466]; [49230892; 44525351]; [99939646; 50378182]; [24773148; 88824729]; [37507464; 9573598]; [43372384; 6267976]; [25591625; 51263193]; [29981991; 76231416]; [43897733; 93506098]; [71024542; 97422146]; [52395260; 40107315]; [64233613; 93371990]; [9930095; 1003393]; [46287273; 4167584]; [66075849; 76548655]; [49109939; 96331854]; [716553; 38215739]; [41476103; 85621760]; [85576007; 71343827]; [53579962; 3185655]; [31187376; 78276324]; [17769470; 21334729]; [11300103; 93777832]; [47131396; 34062168]; [85710618; 24262577]; [70527059; 87428336]; [46551611; 29366187]; [71939864; 56274097]; [31794017; 88655713]; [89059675; 50222824]; [5088221; 8754933]; [63916300; 99112547]; [56471939; 80862818]; [42720669; 68728586]; [50575729; 69639456]; [68274964; 27445673]; [88771995; 77015959]; [15212645; 44763200]; [85769370; 51864306]; [42958635; 40813452]; [82248227; 74640075]; [42555780; 71219645]; [30770781; 12300356]; [95574847; 33719130]; [15912265; 74590082]; [15416366; 5740073]; [18675708; 14475389]; [58914542; 59033751]; [20733280; 63554146]; [88210343; 15235620]; [84677225; 69903793]; [74347047; 45123122]; [11758327; 96563712]; [52815333; 73647829]; [72150763; 43603334]; [67473584; 89525647]; [75035219; 24579585]; [54473383; 2074639]; [64276412; 18492346]; [73291715; 54856069]; [95494278; 88097625]; [78994692; 8892864]; [36245366; 11288680]; [57373672; 43115091]; [52739828; 44682392]; [67961329; 73783269]; [66934873; 50490580]; [97897240; 84131262]; [71827531; 21805446]; [60963106; 24606537]; [56619724; 9514657]; [8093147; 84523624]; [80863679; 28191323]; [59422604; 57999952]; [80341264; 23257221]; [46172648; 83704884]; [40947527; 51282585]; [71754862; 24165313]; [42385509; 82133847]; [55138808; 5595244]; [74401648; 43745125]; [80567118; 96621691]; [27150789; 51449962]; [91478987; 65712072]; [33383780; 97956137]; [6735025; 39940751]; [23527038; 36300777]; [79016596; 94605394]; [33788984; 71924685]; [47597918; 94685173]; [47557237; 59695603]; [95026618; 73247052]; [63029300; 53501200]; [71141422; 15988213]; [15720452; 52956753]; [52935370; 89499400]; [63693156; 21363666]; [80658353; 60154896]; [83412017; 18051691]; [96776503; 33543568]; [5294201; 55177270]; [86898656; 9708006]; [10016488; 14655424]; [73933194; 59960869]; [4247812; 34076932]; [62216092; 60838397]; [91559830; 15612316]; [28187788; 15277130]; [10211182; 31508793]; [51638701; 97115496]; [7618296; 49024703]; [41328155; 93094125]; [54337434; 25837371]; [68274807; 4971845]; [95654279; 75607817]; [38719970; 70558469]; [36544644; 23545390]; [41459059; 53396918]; [5700380; 34975994]; [8574009; 26984218]; [92771688; 80819279]; [64225077; 40752892]; [57290238; 41121013]; [52267139; 37685608]; [20986111; 56384821]; [14651217; 96383345]; [22124102; 45465814]; [99415730; 12375518]; [56397143; 63142074]; [57760497; 61888130]; [47198635; 72442433]; [50765042; 6672087]; [22393785; 28533801]; [81859074; 96900151]; [85699267; 77385679]; [91817813; 51382783]; [29263195; 80980677]; [33914969; 86134261]; [97733808; 9916612]; [89035637; 96923454]; [63633734; 84191294]; [77742169; 51885783]; [68489056; 9318619]; [42900440; 6643743]; [98655372; 83209609]; [17446322; 7494752]; [1188690; 78504632]; [82676360; 39730834]; [75194855; 33821874]; [90176658; 24034160]; [30847387; 32644593]; [7551794; 84154676]; [45369525; 91516305]; [90817949; 25323906]; [97376743; 25932539]; [56062195; 45362501]; [71348173; 39310141]; [45769140; 50143895]; [89812133; 59576075]; [77021706; 49173466]; [45021709; 69560977]; [73525662; 57346382]; [95091780; 37746534]; [84568187; 83645677]; [31905629; 66573852]; [84801015; 76208052]; [40245093; 46270798]; [51264504; 13783955]; [48533384; 66713996]; [74395516; 43649814]; [83193337; 58001382]; [53964801; 59933566]; [36649902; 79442935]; [5807002; 42825313]; [51812851; 5781135]; [98988264; 95848674]; [82653730; 84366102]; [34545275; 2266491]; [47791552; 72975095]; [81362498; 96480872]; [82951102; 76729895]; [15186082; 11344804]; [15479013; 26274406]; [75418385; 59447219]; [22525094; 30567567]; [9943809; 752707]; [5142307; 41150532]; [37433891; 43034033]; [37735026; 94033746]; [8289399; 98501013]; [89809614; 16036292]; [44931375; 15143138]; [75383266; 45264073]; [59363139; 47232523]; [94821460; 74715121]; [91638245; 28183638]; [37827065; 55193494]; [12054426; 80463296]; [73538430; 78946378]; [8137966; 15251086]; [19295768; 50172779]; [71869873; 55823726]; [76400100; 31023111]; [50453800; 67168369]; [39609336; 16666649]; [33172760; 43167903]; [61024224; 15861126]; [46933530; 90342933]; [39344931; 34674574]; [68509627; 39800921]; [89523497; 29037559]; [68578242; 91210289]; [82422959; 28787398]; [58722602; 64084549]; [71011780; 16723795]; [86355260; 23299506]; [93618069; 18251524]; [81748648; 99196610]; [69326944; 23898054]; [180413; 35912504]; [43089869; 80748414]; [78301590; 44858784]; [69584875; 7703765]; [80625356; 57889664]; [70055590; 51233399]; [9516656; 95102097]; [39158547; 18686778]; [49803171; 2458860]; [51624745; 53724369]; [83608894; 89961718]; [63370568; 94520418]; [6484999; 58476607]; [49398971; 3715210]; [43456248; 16178523]; [80597480; 8989665]; [32695582; 14248429]; [95487056; 88641598]; [81616213; 53101288]; [14011261; 88301012]; [60927503; 20544366]; [65141776; 46537677]; [39401270; 92102864]; [45443342; 4414767]; [61084139; 94297132]; [60505638; 68569400]; [51350084; 77474963]; [45480013; 24960439]; [25791073; 73229881]; [35528767; 60725608]; [82753820; 42489695]; [97291982; 6186151]; [40288562; 36638967]; [96458344; 53661121]; [1543561; 32172439]; [29199817; 49600836]; [87645232; 68798124]; [18705585; 93266861]; [71269809; 49809912]; [72253315; 26575353]; [72057791; 90167572]; [63570078; 28802664]; [21986242; 19084977]; [75006240; 82057368]; [4226317; 30489227]; [93853500; 95121474]; [37401003; 38314801]; [80114722; 99901163]; [81121365; 32529811]; [80062937; 91951884]; [65745660; 85547452]; [64775346; 42473440]; [85782764; 62085556]; [73983850; 96275522]; [17571307; 98154094]; [53253319; 64815660]; [18059182; 86926937]; [59164323; 23190438]; [47891588; 94339525]; [27509244; 19759874]; [20449407; 4273473]; [46511322; 94095854]; [83364588; 98585750]; [94083779; 84148994]; [60333086; 63294771]; [41471317; 64624565]; [90373215; 2613819]; [25570961; 36991644]; [12144688; 36616265]; [86101078; 61885807]; [92474203; 40570373]; [27212638; 89496195]; [87761893; 82142195]; [79723668; 18937606]; [88914001; 95989054]; [94101136; 76821012]; [57271070; 50947656]; [57843491; 23243748]; [50688328; 19592748]; [77713292; 32315888]; [19742719; 92796059]; [22039466; 32074000]; [4861521; 99271551]; [88984033; 37758195]; [99112514; 63433873]; [40346951; 2041176]; [10752678; 99469570]; [37145339; 61939408]; [76088547; 89849736]; [50328960; 21003711]; [36252568; 23481302]; [9455878; 52340233]; [38939346; 69174110]; [46835634; 23013690]; [43859856; 27812650]; [8532877; 8766508]; [27574119; 24642961]; [96690432; 91821137]; [64167330; 64504289]; [18498584; 48759476]; [57660230; 52865329]; [36910233; 77972492]; [26919301; 30389827]; [43372318; 14352922]; [6161904; 98791128]; [73242097; 78346642]; [39261126; 99414845]; [36541882; 34645221]; [14125107; 38611435]; [70019446; 15856204]; [46438869; 74349635]; [68763619; 93313470]; [53026939; 69211642]; [40004414; 57096085]; [77021350; 77632782]; [65500750; 6272332]; [7077888; 31611703]; [71083637; 43421424]; [37556284; 82215653]; [41116824; 26362005]; [30709554; 55535721]; [13486921; 44198766]; [28626950; 58857864]; [60712336; 74104383]; [86211825; 36304217]; [98722354; 22556367]; [83332625; 97840380]; [3501891; 96731105]; [2311911; 61979224]; [95071305; 85742247]; [66365167; 40794885]; [30706870; 54556147]; [69418906; 30088537]; [29136999; 67981459]; [44097322; 68585685]; [21114787; 79329393]; [43247011; 10403878]; [7503838; 20839216]; [36565438; 42939321]; [33917506; 94166835]; [45164870; 62068351]; [28041527; 25328590]; [59930970; 40553651]; [41442150; 83176058]; [35839310; 87797223]; [83412311; 63460016]; [32553310; 53509624]; [52680661; 54682387]; [35308718; 72532900]; [35252716; 93970875]; [39132255; 31528288]; [58365935; 56094091]; [35604880; 69616931]; [39790592; 27338502]; [42293174; 29927501]; [41367797; 99365033]; [75582852; 57880574]; [93970700; 92495114]; [13434622; 90216092]; [66829690; 17299394]; [95714854; 78220922]; [53048517; 53907003]; [84090273; 42226178]; [38459738; 88948746]; [29679892; 49674438]; [46592537; 1929656]; [13895727; 29396557]; [36358713; 54235681]; [12841323; 52869888]; [27333419; 50697056]; [8442527; 6877759]; [50637644; 58163667]; [34611328; 83159209]; [7749245; 83234090]; [92760006; 66528861]; [96976130; 83223980]; [74490037; 3086150]; [2284998; 93969585]; [81319752; 96831976]; [17442051; 81756972]; [18573468; 75509787]; [15980873; 22960273]; [70329499; 16807676]; [96032974; 18743887]; [56478906; 45028774]; [80971479; 92114168]; [5170465; 99430906]; [33245449; 50583258]; [69633865; 70874577]; [68982224; 6878108]; [77628057; 69202007]; [50996161; 7792695]; [89234521; 57863261]; [23562396; 24806827]; [23237950; 62609454]; [89925250; 28474774]; [65682507; 95977143]; [99003261; 27385751]; [90578794; 39960033]; [13501652; 73473386]; [86690832; 35744194]; [91035421; 53264251]; [28675537; 11341248]; [10747420; 96210135]; [31801876; 27891525]; [11538248; 82742720]; [14688600; 36177288]; [73919731; 43902252]; [81369711; 58036564]; [68517182; 22973163]; [50951657; 15075240]; [80166169; 53842741]; [24287139; 3159245]; [96651089; 44346841]; [83118386; 98491582]; [8065808; 86009618]; [2905536; 22099272]; [15256907; 19648239]; [52541733; 74508523]; [62324360; 16058355]; [39014223; 28223429]; [88933639; 90684340]; [74740284; 69768102]; [78910811; 92779541]; [83844088; 63604836]; [22044816; 57292607]; [98652129; 26601312]; [30020133; 1920105]; [89529892; 76278763]; [41673106; 37855478]; [91468517; 49151086]; [51649004; 23854519]; [99614532; 10274089]; [43270500; 13261516]; [77080269; 45607660]; [52187334; 72496745]; [38766270; 67224106]; [3206660; 50712896]; [67286054; 23006904]; [17482203; 44265192]; [60015647; 14738922]; [74401588; 40376698]; [72492383; 50655490]; [89572073; 69402965]; [18712613; 77880404]; [50033237; 33486466]; [81447106; 84869556]; [28790929; 95068284]; [3990260; 38405115]; [13185803; 9672752]; [23279234; 43932777]; [96551207; 81065503]; [96707289; 53317999]; [21096629; 79426178]; [78612440; 67318168]; [74846151; 68710617]; [56800765; 24695874]; [28834865; 39234352]; [97547847; 78482132]; [14439991; 10208105]; [39516420; 65574666]; [88076136; 18021413]; [737316; 89553644]; [15020380; 14206872]; [20176359; 66377611]; [14755369; 48042670]; [60772883; 1188560]; [94811373; 89934892]; [60787406; 71650384]; [27963880; 62548725]; [94263986; 68745016]; [72160657; 83698299]; [34260477; 19207479]; [707546; 85167091]; [19034697; 12675105]; [3520475; 38998122]; [12352958; 2875053]; [10309498; 20786990]; [22748197; 15489190]; [13447991; 24305439]; [28940646; 3755218]; [19915630; 55523747]; [83534285; 84028634]; [4261123; 31199142]; [24202442; 24584881]; [86578008; 91604358]; [3824337; 32366656]; [94843300; 76528968]; [31984405; 83771508]; [63006591; 83834959]; [65559214; 16644877]; [33366; 41054964]; [62580955; 97352272]; [69964103; 95557901]; [31882203; 31010587]; [12523247; 1872809]; [35694070; 34368818]; [79663863; 21479965]; [23061698; 97642393]; [5604240; 92694348]; [58674123; 72971455]; [94069843; 29833528]; [78673461; 99891186]; [56096281; 80422598]; [57693147; 61867176]; [89832488; 9525319]; [32550703; 94799261]; [28138970; 31571225]; [45568869; 91538911]; [74364232; 43183753]; [74936457; 11841774]; [87837819; 56734049]; [96596933; 97887912]; [96308767; 13070961]; [15150900; 69847909]; [6907933; 32339265]; [15128556; 45638365]; [14784673; 81831075]; [56446026; 97661361]; [61820611; 90686284]; [22455521; 49495754]; [7669370; 97642657]; [61732135; 3015320]; [12721250; 58658583]; [18112724; 56259693]; [76260256; 76965043]; [81077718; 94172025]; [45688616; 52303553]; [52408999; 98528172]; [51340844; 94925070]; [70337839; 58096253]; [51210495; 56693655]; [80225731; 32568716]; [85789818; 48133197]; [29847402; 95283174]; [44369110; 41730963]; [31578965; 84071302]; [30656303; 17152505]; [26001075; 55642291]; [21695138; 88332294]; [17179681; 60578452]; [59857520; 31726779]; [61921120; 23551698]; [50494949; 96754441]; [81961463; 84237837]; [19240708; 64815647]; [44233683; 95666030]; [16701588; 73315143]; [83495060; 44404844]; [46275429; 63926154]; [35207371; 52243569]; [58868899; 63033440]; [52644917; 59560770]; [3963151; 37026819]; [18803162; 71726758]; [83141654; 78951532]; [39647247; 39544950]; [79326310; 58998738]; [16893574; 38195241]; [27139524; 12380216]; [26707496; 94134203]; [98523539; 64296387]; [94313532; 37202048]; [99494821; 35211222]; [93271053; 78999101]; [64441853; 15124382]; [40214105; 36922001]; [25981399; 32419549]; [15125092; 89986052]; [41261764; 66383658]; [90640481; 37856686]; [95554974; 29394559]; [68699470; 5321792]; [78962097; 27077187]; [34538651; 16772976]; [71477019; 72485060]; [93680121; 3853446]; [26112101; 90139837]; [15103732; 96604396]; [4023420; 70594443]; [11205121; 33276938]; [36654755; 6205345]; [34734161; 18105032]; [99960352; 42010131]; [6895846; 85257091]; [15416622; 12937763]; [75218858; 1735853]; [59532258; 41080258]; [35221285; 16454806]; [77901210; 6892165]; [40542999; 97481391]; [337471; 78648080]; [458184; 29031880]; [47814025; 71367826]; [99801904; 38807783]; [17913877; 91034720]; [56047471; 32084469]; [71957834; 5339203]; [84082450; 50233177]; [76623583; 24377641]; [81829500; 59554931]; [85032749; 10645294]; [18071601; 52435656]; [62005794; 14183575]; [8677602; 63853928]; [85683890; 34043131]; [40312072; 91911721]; [50970708; 22859506]; [55616153; 20637917]; [20617437; 91551898]; [24633593; 60167175]; [47080759; 33363788]; [14146373; 54079970]; [89273366; 65983734]; [40412444; 51608676]; [47669979; 49269066]; [30339115; 32707049]; [33073079; 58080592]; [90300073; 67124681]; [77408245; 7141883]; [58211621; 39127638]; [41577732; 7311775]; [70068611; 4363320]; [66418448; 27810272]; [25960440; 92463512]; [18831095; 43225871]; [71523697; 94322626]; [8528028; 81099959]; [21944649; 89094690]; [14800865; 78383048]; [45650486; 71360487]; [99962071; 79289626]; [22414761; 13737274]; [24558214; 7996984]; [60976653; 12087121]; [2370381; 52359003]; [73364088; 99322611]; [99197236; 20690046]; [70925023; 16989667]; [25294189; 60645563]; [21577505; 85788507]; [32100724; 6039316]; [51813596; 41849557]; [33694486; 46408949]; [15793687; 2727122]; [36929991; 55231076]; [79757499; 6000349]; [55185786; 33327196]; [99059152; 30462313]; [87108770; 91149495]; [64553284; 62982219]; [9240426; 18564135]; [12694124; 57507722]; [92631187; 3904372]; [50249679; 68973765]; [32549837; 31083822]; [25404803; 60654881]; [61320207; 41622433]; [89785905; 44370669]; [54686733; 11075154]; [43951878; 12497275]; [76782774; 9075020]; [55162802; 91005031]; [31148967; 39195339]; [7079203; 93895951]; [19587598; 29379456]; [17948116; 51924997]; [96046471; 86888596]; [79944301; 85050295]; [88299557; 91991574]; [47741984; 28184917]; [55195117; 38721943]; [24453026; 38820305]; [69862558; 51151882]; [74537422; 88971985]; [80014552; 20325153]; [98196874; 82956954]; [25565114; 7363829]; [6249233; 98300424]; [32844059; 57440949]; [60645577; 8066606]; [13496632; 82742962]; [40455021; 63440196]; [49746899; 75616289]; [96920235; 97088207]; [61867936; 19766293]; [27201818; 75849399]; [33368702; 15070185]; [92316609; 36415635]; [83816948; 14852232]; [15933806; 16952478]; [29961194; 85720763]; [41621788; 35919416]; [57330727; 74168005]; [9713011; 50657199]; [62221149; 18784855]; [88658849; 41528658]; [1709624; 13330782]; [55408597; 35628308]; [48242199; 63508904]; [22564552; 58685512]; [93166796; 7583746]; [11271793; 37806962]; [42453715; 57926799]; [71534904; 18758901]; [18604115; 21915558]; [19668773; 89414015]; [63918629; 51108030]; [38394374; 2270787]; [66731257; 95209468]; [60405757; 28112633]; [59266454; 80942843]; [65980605; 37055942]; [88459328; 54030773]; [34403225; 95896682]; [72973889; 75347735]; [88618101; 86973649]; [20760360; 34508178]; [25884365; 65332876]; [50821579; 90177140]; [18924824; 33490248]; [91052958; 91085964]; [67615814; 21192571]; [58730851; 65453585]; [18795543; 91278400]; [56909740; 47078623]; [72472376; 77076426]; [18199533; 94009088]; [85317483; 21545888]; [76961995; 949188]; [36935573; 70622003]; [73545762; 62411685]; [66744074; 99216100]; [71812638; 7335275]; [77173118; 93523765]; [27025005; 14693682]; [40698638; 54664746]; [60112712; 84759770]; [17138686; 82319414]; [51728154; 71381938]; [20892243; 90841768]; [42959853; 70536595]; [82023964; 66658043]; [97567773; 52431108]; [58104641; 11528260]; [87274273; 44883922]; [24570423; 6576289]; [55982388; 418947]; [29295904; 23174710]; [75067683; 82788674]; [60693691; 47872751]; [20673994; 21879494]; [11669102; 42309002]; [90419072; 19877742]; [99834377; 87363656]; [98557428; 48978305]; [68385391; 78890714]; [96202486; 85868061]; [71507281; 15196955]; [68938325; 77539931]; [78727400; 54071202]; [79210870; 31830468]; [92410192; 25738719]; [64520884; 48534537]; [65193888; 57485403]; [95143027; 63949799]; [3822392; 84701394]; [22024856; 27575176]; [88007816; 3448565]; [50619307; 97954050]; [1343214; 30854373]; [46185397; 70037266]; [12998073; 58343585]; [33966685; 43799873]; [23822654; 52837874]; [53883449; 26310293]; [75697124; 59054873]; [81726247; 82774726]; [74315435; 17670381]; [46108672; 54063675]; [79996961; 13350413]; [53410327; 64994176]; [93970850; 86462566]; [88428422; 20327308]; [42064601; 39813255]; [25229256; 61350060]; [55896519; 69372736]; [75394273; 94216748]; [47199756; 3616596]; [69736680; 3974193]; [52122359; 61908265]; [75484199; 16177159]; [23221562; 57776069]; [40740045; 38457243]; [66320542; 63692446]; [12751669; 69417926]; [16811801; 95481541]; [81643793; 66372318]; [8501142; 99495298]; [84498188; 29789297]; [36175184; 46356598]; [87030045; 77995115]; [94515365; 50466804]; [7606233; 49228231]; [39723869; 28617963]; [27223064; 25964272]; [17955206; 76187027]; [73970271; 15952642]; [70890257; 72369959]; [85987874; 87981310]; [83370357; 68283661]; [50853433; 97974105]; [57202229; 81941024]; [79693079; 21587184]; [69207216; 32801996]; [85791515; 58722846]; [58089981; 64216936]; [73611767; 335297]; [75175884; 49005]; [49758435; 81514709]; [60020836; 46503947]; [70984768; 10858158]; [24899645; 69751446]; [71830843; 58746475]; [46631890; 34474529]; [48757747; 36658392]; [90144995; 45512721]; [76661802; 5880611]; [53807924; 63683099]; [36247771; 41252275]; [66394259; 77468869]; [72996836; 73338787]; [37409674; 36975728]; [41443408; 71534169]; [60052492; 19271088]; [30425404; 53243511]; [69142806; 90619096]; [56725493; 15377829]; [60059621; 49306936]; [90738177; 82426964]; [43062764; 78497066]; [54073930; 97079450]; [12818964; 47563104]; [33069379; 32909927]; [5398158; 28016635]; [32838129; 48597011]; [72730005; 27276753]; [73228349; 60585577]; [22902408; 70613461]; [82669526; 56042033]; [44002578; 92790474]; [43146118; 69257042]; [20877051; 62080966]; [16261569; 67007556]; [87736610; 77276361]; [42632756; 88057413]; [81398277; 75612885]; [26597358; 12204465]; [18808748; 11142666]; [6622313; 24182334]; [49388202; 62003084]; [57325793; 22432279]; [20401161; 201776]; [25763088; 27632577]; [51083527; 82639978]; [59051191; 93546243]; [70798526; 27224628]; [23625535; 52825352]; [29531492; 58971031]; [7870921; 80799074]; [11124652; 62277868]; [52158672; 27664388]; [6577344; 89684003]; [97722310; 71338597]; [96400; 263940]; [92772853; 13871648]; [5404823; 40662604]; [64113377; 17697865]; [29029184; 78833906]; [55655854; 33687611]; [92526089; 76322650]; [49508040; 45024738]; [92822690; 50411672]; [10677980; 1916016]; [92745404; 13954748]; [85558500; 4880500]; [6399878; 39715242]; [59919234; 7156641]; [31854227; 88892628]; [10030802; 33341300]; [14262239; 36945394]; [65549418; 16223648]; [65684802; 89786085]; [9838917; 47241613]; [96939394; 16488220]; [18068885; 57005622]; [50862130; 57134417]; [40689045; 57467088]; [1642089; 67297421]; [84612107; 89521128]; [89547026; 5753458]; [2709425; 61071555]; [4062283; 49511296]; [7923467; 61809539]; [25292787; 48105554]; [80606209; 32399828]; [70780665; 29022549]; [25543576; 43298196]; [5214614; 3816164]; [95919199; 81100477]; [6634685; 59651888]; [47919066; 25122485]; [72954728; 53423714]; [3053332; 53589896]; [40866638; 95470000]; [59199737; 73008205]; [72506800; 20305630]; [3356744; 3397066]; [47964595; 94336794]; [83368175; 87027276]; [75277162; 28765092]; [55151650; 87435167]; [79215870; 78393041]; [71295619; 40573231]; [5929239; 57364938]; [4243405; 95346586]; [84051771; 51129650]; [7631512; 63805152]; [55006912; 6010995]; [93275772; 5387857]; [29541087; 66715965]; [75579832; 57200452]; [66575188; 70871961]; [68523752; 16317951]; [6893895; 87442411]; [79013718; 93901638]; [33720262; 29620806]; [53093002; 25020028]; [13356618; 50022316]; [1559507; 17325932]; [45743990; 45249368]; [56718094; 22670342]; [63775837; 91555228]; [9604717; 15624136]; [50499782; 70819976]; [85771377; 31560189]; [4535354; 86826869]; [82808435; 48843987]; [83006165; 41611505]; [95894565; 64043631]; [66879910; 58405350]; [22979853; 74766197]; [15171091; 59491314]; [32104775; 54087471]; [38199868; 56014814]; [40439372; 98880288]; [55192174; 65777906]; [17971867; 67191509]; [25550635; 71002856]; [87937948; 78306358]; [41094775; 827708]; [51019688; 5683582]; [46204243; 64646001]; [8132818; 75544079]; [34572145; 57629559]; [27685629; 64289777]; [44053167; 26201893]; [54489751; 11297953]; [11049955; 83342298]; [13808908; 34586062]; [68152139; 67223651]; [96100713; 57665076]; [62588504; 97739174]; [57239107; 24238567]; [74000381; 14845628]; [39457588; 79889574]; [87364977; 1547318]; [70217778; 51711362]; [34340483; 45638776]; [46935193; 8006033]; [55840493; 40142822]; [42922657; 34330184]; [83747625; 10165760]; [79994948; 11463449]; [86577261; 53269045]; [81800748; 67000103]; [48842029; 7961803]; [5302547; 57538957]; [13516433; 51543365]; [38307878; 82428737]; [8960969; 26467728]; [73609240; 8591747]; [33843462; 92459608]; [97604840; 66118890]; [80138404; 356943]; [49349621; 31201670]; [56931347; 64088643]; [22582920; 15528211]; [21299878; 50497764]; [83379340; 44449496]; [15369770; 20289684]; [89020823; 25528571]; [62956903; 17624951]; [65864144; 65012143]; [73585747; 82532041]; [50717193; 89661893]; [88839278; 74665053]; [57250452; 81617675]; [41404019; 31620090]; [77687842; 26396567]; [95002950; 8076953]; [62739768; 32058212]; [61229462; 10016087]; [62929600; 32453134]; [12230267; 6978117]; [13883396; 75638438]; [35300300; 90774253]; [72164606; 78214227]; [74277139; 14955126]; [61947817; 43415650]; [45518348; 50718869]; [32362524; 86881516]; [91111051; 4351922]; [27375020; 6760430]; [49818371; 87016004]; [27617453; 41643982]; [54613114; 9557674]; [84432779; 90273698]; [8767913; 83714439]; [1243624; 16878865]; [21733560; 65524049]; [80378328; 82937898]; [83131448; 24221469]; [15463652; 63849018]; [86911540; 56035328]; [51283040; 11772374]; [21575220; 66306304]; [1240334; 35069208]; [27143619; 40723789]; [1586409; 75228224]; [90819320; 18016919]; [46975741; 50060411]; [53149923; 66994152]; [92237587; 50828927]; [63084239; 875856]; [10760830; 34411348]; [62196431; 3763635]; [57421150; 36695285]; [50208097; 22071660]; [79188448; 65597167]; [99461084; 40221322]; [37021103; 89186289]; [95660013; 21866093]; [55108874; 35592553]; [57673529; 44424923]; [70477759; 19069732]; [68971569; 28891266]; [44993750; 4692728]; [3380936; 95847672]; [70882481; 58852955]; [93572062; 90196903]; [26442443; 3592564]; [78181379; 718656]; [42870497; 85777403]; [96207573; 34024043]; [29399936; 64541109]; [32714535; 94924446]; [33541231; 49636923]; [21921262; 32433802]; [26480066; 7761839]; [13775208; 73761181]; [22029849; 74479641]; [47274610; 55133863]; [5590483; 26124986]; [33104248; 9483882]; [84825889; 94889607]; [97022688; 32531568]; [19536937; 86552757]; [35022171; 77055831]; [21603369; 67609499]; [72560864; 9761741]; [14193005; 53151559]; [56381981; 1202682]; [29290083; 43614779]; [51290906; 12985047]; [54801810; 50229551]; [42313012; 18158226]; [55825142; 74603264]; [96212454; 43909725]; [49755382; 56617579]; [5704181; 24756061]; [19393289; 2990059]; [77408547; 36622205]; [37923703; 94393335]; [70530700; 47852977]; [38662788; 74961753]; [18215869; 47550742]; [6384907; 78528649]; [79400640; 89344972]; [45983215; 21294825]; [14895823; 41334975]; [90228465; 53929515]; [67080684; 58225553]; [33073302; 52758091]; [42406694; 19288097]; [21383822; 61757247]; [99248423; 89441540]; [78830655; 12845387]; [98539686; 31833278]; [9726051; 59857671]; [12505757; 67151576]; [40503075; 87054220]; [12852039; 86625205]; [74650525; 80811941]; [5157270; 68492702]; [32039831; 29312659]; [82764849; 91154700]; [88415952; 75090787]; [81624717; 87708980]; [98369915; 13243581]; [10927596; 30030524]; [9544124; 5835830]; [38212558; 30164748]; [89847250; 66296831]; [58925033; 49636177]; [8064213; 14203411]; [17519826; 20890649]; [37419677; 84291943]; [1597540; 41184604]; [85807680; 36402388]; [15334035; 98447372]; [32985733; 55282778]; [69048505; 49045167]; [74606256; 41549994]; [50499710; 17324403]; [43945254; 57498887]; [45839573; 6413371]; [29960917; 41116834]; [75522548; 48614359]; [8424163; 35092425]; [82902452; 78323201]; [26925230; 97923438]; [53863902; 46046685]; [62762901; 97972960]; [54944525; 59224707]; [9430468; 67282349]; [16355835; 96836704]; [69446562; 36739575]; [7505613; 30440553]; [34596724; 31263163]; [81040124; 45496040]; [72768427; 72874152]; [7931532; 96697064]; [45613738; 80050844]; [64271051; 29111839]; [87319226; 7722297]; [33889781; 5500354]; [70475360; 11773193]; [96132400; 72865641]; [8874014; 70190319]; [73956408; 57877398]; [89009244; 11153392]; [53441884; 8504725]; [65872630; 70268633]; [61499709; 49641069]; [35232824; 78438268]; [99754851; 43987733]; [66809592; 35729672]; [14380719; 32057852]; [53050946; 33780686]; [32268753; 18335212]; [75184568; 4275472]; [86159040; 35771886]; [81516393; 19323286]; [72205555; 12760388]; [328335; 47331689]; [10512909; 23870479]; [16230233; 8365743]; [88944722; 36484138]; [3280944; 20828017]; [54970141; 30731655]; [15615300; 24489041]; [46929519; 3016098]; [59306500; 73024671]; [58844455; 32030253]; [84562753; 44765639]; [40482487; 92921744]; [8209866; 60717487]; [19626346; 94286130]; [40763234; 74725458]; [42623146; 84975714]; [56197394; 6067447]; [10775829; 32291644]; [52105697; 18351384]; [97063237; 75410216]; [13639984; 96569727]; [57690789; 43880917]; [81367004; 4603519]; [12233820; 37808869]; [20610700; 8353567]; [86718634; 38260951]; [68896489; 41230456]; [86920318; 8646567]; [45665469; 54510413]; [27962386; 60090901]; [54563685; 25725559]; [9409551; 6548088]; [85470420; 13934483]; [71076841; 21450267]; [16286542; 76079884]; [54320353; 89188832]; [48316486; 55744766]; [97754425; 70889342]; [89387977; 63417923]; [68818462; 58450278]; [11953218; 324017]; [87801870; 33690788]; [13592749; 73784323]; [48624912; 361314]; [54125854; 20542405]; [297154; 21366757]; [15607739; 32339828]; [52420254; 39276600]; [32855718; 90258847]; [20912611; 28289513]; [75914877; 79653768]; [62965808; 13952024]; [99292907; 86764069]; [29795872; 40218769]; [29973492; 61854066]; [32150631; 21392199]; [78640963; 88533223]; [98281169; 33273371]; [73996358; 69700307]; [26567463; 79320091]; [15279166; 63534947]; [4721098; 16742101]; [48855664; 84059946]; [23885578; 33293874]; [51778421; 34152263]; [39281686; 33873551]; [91348793; 89384474]; [42488052; 11549560]; [45632075; 99105051]; [3077035; 21813918]; [28902520; 39813099]; [63319481; 84253343]; [30360893; 5508010]; [43754777; 78927246]; [65843690; 2501470]; [73948314; 24185780]; [89357011; 9404598]; [9566021; 20195149]; [75298746; 70048214]; [84006116; 33721044]; [92450569; 31462393]; [8156282; 49745860]; [9088715; 60014575]; [78710945; 27418234]; [57145518; 32811274]; [91844802; 70775203]; [65112492; 30347508]; [76225904; 78653501]; [87206539; 55163715]; [82692845; 51969403]; [69677151; 30651678]; [4892148; 41724338]; [4404163; 77109431]; [44136581; 88551973]; [95110472; 89064971]; [47318070; 69111592]; [42618275; 42912684]; [1069908; 92359403]; [68411723; 89546683]; [52082969; 22219812]; [1312330; 67875078]; [54240073; 29735799]; [88243013; 39265248]; [3476650; 24039270]; [65740335; 30710104]; [3920123; 93983900]; [48661701; 42428977]; [65782101; 8975455]; [39025252; 51685160]; [95000173; 12072102]; [95218541; 13607304]; [45365159; 55580975]; [80672054; 23811046]; [88705444; 6667120]; [63294946; 21682030]; [7336516; 34280697]; [47564096; 64863326]; [56110237; 95357834]; [87304295; 28980389]; [79311172; 69666626]; [96564992; 17400347]; [20216294; 14260868]; [66032696; 51535660]; [10607847; 90690516]; [7471360; 3277473]; [23715340; 11491198]; [70608753; 38804065]; [76383472; 70349729]; [83043838; 69218556]; [63928715; 67144379]; [49505358; 8010729]; [98248880; 26081744]; [90745844; 8544676]; [77013290; 255528]; [22735614; 66303164]; [94705733; 21926903]; [8151753; 71218944]; [82973998; 20477343]; [92724360; 4887995]; [37936352; 13450133]; [93329441; 49733269]; [437118; 80956200]; [21795981; 82522053]; [73934700; 44503794]; [65755398; 8425882]; [25465686; 73946142]; [14746764; 47452280]; [414878; 86115245]; [87778220; 17208218]; [35401296; 37053795]; [66759780; 84828237]; [37905403; 34907632]; [85465883; 60429523]; [14668250; 31081989]; [63675452; 53585849]; [39931841; 71429647]; [17255850; 39586962]; [65991138; 37858586]; [30224214; 31064402]; [20884209; 66169427]; [68351978; 97482538]; [53764542; 37899619]; [78404762; 73308761]; [35566476; 64795392]; [78622578; 35718613]; [21488991; 18137434]; [36778150; 5849448]; [25668730; 68745366]; [88580399; 48230760]; [94425533; 19552173]; [26137525; 80475198]; [11477489; 21776752]; [62732021; 70324432]; [36329667; 55588397]; [4417933; 89179266]; [9201407; 90512137]; [72193806; 56261163]; [33251944; 10058297]; [95238544; 82728244]; [63829334; 24017456]; [10112493; 19546744]; [31130558; 38896712]; [39155169; 28424674]; [12196098; 56810478]; [45240403; 38024463]; [43087257; 50430070]; [23132606; 55323619]; [19657301; 94893072]; [42232847; 76344179]; [10256775; 34855360]; [64211164; 39721621]; [48424156; 15094855]; [59659053; 355418]; [60105915; 14897328]; [40923985; 71453196]; [64735584; 99749245]; [56808111; 66078368]; [17946095; 92834641]; [70254137; 46758243]; [95035242; 32797883]; [14994436; 40065583]; [13737370; 10410293]; [80640207; 1010199]; [25447820; 69762866]; [94191360; 70993433]; [30242466; 47043768]; [37885700; 75580523]; [42499698; 70403507]; [97462940; 3402295]; [64508094; 50807549]; [84454659; 81052575]; [12401713; 75392621]; [4400150; 4887945]; [72965937; 90776988]; [52390538; 12092501]; [58160059; 60709337]; [99057494; 20599831]; [870568; 86697837]; [11394847; 67052534]; [33601280; 80968069]; [25828974; 86848693]; [37688164; 47216982]; [60876142; 68834219]; [56045012; 34345996]; [28293747; 76028246]; [99191580; 13043348]; [78914597; 432253]; [16608834; 75665429]; [93698817; 64128052]; [25118486; 23351517]; [46603562; 69908356]; [73678701; 80576612]; [33762115; 48352526]; [41573715; 15715445]; [19310867; 73931654]; [60553725; 29106402]; [65186769; 40237301]; [26996078; 14997711]; [10570459; 96768684]; [30364639; 78258515]; [1356558; 38295862]; [61053038; 1292135]; [67618065; 64956158]; [20945604; 21223110]; [21827568; 84513652]; [65638120; 71761181]; [82769703; 86596198]; [71591635; 78139244]; [90553373; 4196202]; [3376735; 53544396]; [39132001; 63123050]; [69995913; 6328917]; [48160213; 74867658]; [19595802; 12483970]; [87679551; 78209637]; [62970006; 87283780]; [95654365; 29273970]; [37993947; 14795436]; [79218564; 72265262]; [1442411; 50805803]; [34618724; 35964248]; [28868383; 25317320]; [29341970; 4994530]; [39775210; 36727740]; [66182283; 69168647]; [71932410; 93885945]; [32329960; 9734077]; [45236268; 25993670]; [57340668; 61529003]; [94214998; 3721594]; [67346448; 65342650]; [15306222; 54637612]; [25697994; 22950752]; [87430128; 16821539]; [20822610; 14436833]; [10379548; 36456643]; [57307674; 90441663]; [88844179; 24357412]; [26765824; 18876636]; [34747016; 22200617]; [54213115; 96977476]; [95926684; 68454115]; [6961950; 48162334]; [91012174; 34298033]; [61196938; 51987369]; [30682733; 64145938]; [14032986; 26636691]; [96509131; 20646128]; [20885732; 67433185]; [70674188; 30916460]; [61593644; 45995191]; [96397126; 86287801]; [57286313; 98100779]; [82976281; 8340606]; [65292712; 73266922]; [55373509; 62360899]; [23188821; 43144996]; [54820334; 74769659]; [79758315; 31112035]; [89481588; 58621572]; [39003539; 88485382]; [65102242; 70905529]; [57897367; 32887563]; [95796760; 71024222]; [40215245; 32341022]; [55274348; 36732417]; [52864726; 15884270]; [14721593; 65207632]; [34552343; 78801364]; [8671082; 48998186]; [90912998; 3216789]; [75548022; 485220]; [5824339; 70682630]; [14278976; 88146787]; [70480092; 69506370]; [21358206; 98979137]; [35954176; 59847739]; [83033526; 57331877]; [41253833; 68153947]; [30050930; 30067831]; [89897852; 77913822]; [13264349; 1246011]; [96447313; 19260933]; [79813108; 8240832]; [33704898; 73682708]; [19573993; 67909554]; [17572255; 55212948]; [49230177; 39008064]; [67157889; 98662988]; [3822073; 23385023]; [95156415; 761089]; [34716590; 54074673]; [31780649; 13627586]; [56754680; 5025051]; [87687062; 96375987]; [28850885; 88230101]; [18767770; 92157289]; [85637309; 52061627]; [16703415; 76451108]; [32823909; 81458828]; [78501625; 33680578]; [81956968; 23386841]; [19845822; 61107197]; [81670757; 40319992]; [71754417; 99522750]; [41835147; 34886717]; [16500325; 44185058]; [66339309; 95263633]; [16491252; 45162921]; [7024066; 64408591]; [30968009; 67987287]; [91604342; 16160137]; [63559487; 55077591]; [16280106; 57699096]; [21610870; 36325609]; [37658127; 84349785]; [11528409; 68277430]; [56418983; 26207734]; [29622424; 89594861]; [78546128; 99032917]; [29117005; 72839528]; [48283650; 35471638]; [74905077; 87611776]; [63562283; 6985463]; [24931212; 80055230]; [89458613; 193625]; [21742597; 69429548]; [50709509; 47500004]; [31480119; 8463788]; [870745; 34565216]; [99454262; 69089784]; [96782848; 40177002]; [83040738; 16050058]; [95677644; 4192458]; [23792106; 27249936]; [92628822; 66998337]; [40120929; 40821247]; [34525016; 15043503]; [64254054; 97302251]; [24162989; 90753198]; [83975380; 45099398]; [77991995; 67503581]; [68976239; 71812977]; [40370299; 53788616]; [50520784; 80668612]; [36648615; 70755133]; [37256504; 17106958]; [14586515; 14313701]; [46158327; 57832833]; [33024040; 30089948]; [57721579; 10995740]; [51676066; 33692768]; [36908813; 76157061]; [39481018; 29386424]; [43834822; 18820156]; [50914161; 96658634]; [59223980; 90263218]; [87296018; 83163069]; [51446272; 6654514]; [61756670; 49564592]; [70633334; 51182538]; [71378869; 88493049]; [83228326; 70785340]; [42243737; 54514022]; [4591836; 58288657]; [14591133; 16937437]; [25612137; 47062977]; [5090327; 11958443]; [87559446; 69293795]; [20885714; 44914814]; [89674058; 81627029]; [37076455; 66524494]; [23812828; 53985188]; [70929392; 25974123]; [48302150; 37489397]; [93274888; 45734261]; [88289353; 60807880]; [35748953; 78623922]; [76167998; 1838550]; [33200800; 14447971]; [96254334; 45260815]; [33940598; 62806513]; [74861197; 50985979]; [28403318; 15186263]; [37895263; 42874245]; [68955604; 61691331]; [79302680; 66955987]; [72010197; 34115348]; [61641497; 25042753]; [95467283; 47343219]; [61212227; 89882746]; [87206870; 13450368]; [12568944; 70411374]; [62292434; 11291386]; [89620559; 16272872]; [15136364; 77557975]; [25952615; 54512605]; [74473043; 42991390]; [36335513; 42930639]; [88911660; 50800028]; [26718935; 77322721]; [39186175; 10088305]; [77656807; 75764284]; [56847059; 48899895]; [18179111; 9973090]; [18578684; 90554010]; [98793724; 52059995]; [18565354; 225437]; [2187973; 57124615]; [38030291; 87658939]; [21238249; 17119819]; [47171192; 9824659]; [40587251; 12695804]; [41033678; 83080288]; [84122932; 55218775]; [84387725; 64719590]; [38760846; 12081344]; [6421476; 63701032]; [73373342; 52521413]; [5452656; 21124523]; [61844312; 56835177]; [98209754; 41304818]; [29701719; 6786952]; [86304709; 53304194]; [93031880; 97702515]; [76309951; 9012607]; [49371355; 47449286]; [23161137; 75837921]; [60018570; 38733177]; [30559916; 52324356]; [50194461; 75418303]; [76076802; 27196742]; [13660838; 73314472]; [94362145; 2409496]; [77493633; 42116970]; [69422729; 39898315]; [93525584; 74019603]; [73268187; 51011040]; [34942922; 86881994]; [69194806; 81120570]; [9791462; 92816309]; [54323490; 58864325]; [44899523; 26724631]; [55510992; 34677160]; [15613811; 95025660]; [85885940; 13790048]; [48766319; 28276700]; [25637125; 1605997]; [81456742; 46989543]; [43364773; 29916955]; [35376980; 21509511]; [85932535; 26804956]; [24696406; 13410466]; [26324147; 62500654]; [68280849; 204972]; [50095265; 30840994]; [24455796; 54110605]; [29866525; 56462256]; [70952669; 12543609]; [8873145; 2604500]; [3677567; 55117277]; [24084211; 93192575]; [40383843; 83859119]; [6258754; 33667150]; [46329724; 45526964]; [95604595; 31823723]; [99147610; 57946628]; [26668892; 60610249]; [27046810; 88456105]; [59869175; 77602781]; [47648908; 68693562]; [36521795; 50798665]; [32386742; 36595413]; [12145577; 54752468]; [89029968; 45749406]; [65640201; 79264550]; [17377932; 13893048]; [69356697; 34569892]; [10487113; 36513384]; [85447498; 2779166]; [57210230; 21528717]; [67923004; 60291851]; [71977282; 72504839]; [83142941; 74421103]; [2158251; 20776179]; [19102675; 45343045]; [79110982; 79533012]; [63030684; 71500603]; [71976987; 62876730]; [43272845; 48259591]; [95145013; 464472]; [23398341; 23219443]; [14186228; 52138217]; [48040068; 23041664]; [5252506; 35999247]; [75759079; 29951641]; [49916581; 22431101]; [59496781; 75703248]; [21397482; 14747441]; [36520348; 98483999]; [29744283; 4765942]; [98831808; 26988912]; [13449013; 1595083]; [8136802; 68390571]; [10094866; 85416692]; [42066708; 38167084]; [89176646; 90453167]; [30820768; 81271265]; [1731611; 73916236]; [651323; 21980691]; [25844673; 44343424]; [23195464; 70281980]; [41905730; 97645750]; [76846086; 5768559]; [51719763; 56085093]; [99949726; 73703489]; [72814225; 6514453]; [45413488; 42565101]; [7590587; 61872882]; [2016512; 25887568]; [88801034; 27606259]; [26282282; 17090347]; [27622945; 67684652]; [12105690; 11734454]; [89337184; 36690707]; [48072058; 62956954]; [72796961; 97599278]; [18917079; 26942441]; [87543453; 67007965]; [27635494; 23288518]; [65317844; 62614289]; [74929066; 38394384]; [93168820; 720905]; [19731049; 75663497]; [84958940; 86434594]; [9708790; 6613525]; [61149459; 48981169]; [9383803; 19815662]; [76355556; 96973338]; [65297018; 61115496]; [19769765; 72514266]; [33584612; 14427565]; [89449407; 74445585]; [78553423; 86117828]; [66370068; 24515477]; [762908; 42334117]; [31077563; 48892980]; [89434646; 9275190]; [16739187; 56562730]; [31980510; 99422891]; [2569161; 73443500]; [83445014; 33304243]; [60211780; 3486222]; [16799766; 34916164]; [3550446; 81395810]; [31009561; 23854233]; [84417550; 88975539]; [897752; 75152880]; [39385623; 70053174]; [80768940; 31784746]; [64567972; 76580602]; [58018173; 94660552]; [22751957; 83055432]; [93067459; 88829376]; [31849534; 46176021]; [89161951; 54101458]; [53104753; 64983825]; [70849567; 33794130]; [74510217; 48915850]; [61931479; 76950621]; [45382473; 48299262]; [89244148; 9475279]; [57861581; 94981123]; [54217885; 19950597]; [53340011; 20464109]; [20240470; 28937187]; [3403875; 19410054]; [7744260; 1629050]; [63985244; 75098998]; [25087167; 7457058]; [61448426; 31298848]; [84368169; 328188]; [61376398; 12108067]; [29862883; 24502383]; [23586081; 84940553]; [57693270; 58095523]; [77948645; 72512409]; [56675038; 1149324]; [62603842; 51638943]; [10307511; 50513566]; [97812727; 70284969]; [27827378; 90975082]; [51306536; 3683074]; [57599942; 3287019]; [10021164; 2815570]; [17553488; 92103453]; [61460594; 90765479]; [11353775; 50348138]; [43730107; 2846991]; [89712016; 11043783]; [63513475; 70842625]; [72740155; 36747394]; [41842672; 14863035]; [33188248; 62282531]; [37559900; 4214595]; [29171937; 56705556]; [37296123; 58484717]; [28403700; 97849430]; [85157480; 36570385]; [30663018; 83973969]; [38648065; 47500310]; [48612292; 80050467]; [80876707; 15758539]; [21393062; 91914050]; [45842980; 54027569]; [91763837; 27315817]; [68414087; 25512890]; [23145722; 46883391]; [43615987; 47834433]; [62497418; 4486379]; [86917868; 84145768]; [75761856; 30648443]; [66503641; 32982463]; [88543101; 18626729]; [97971731; 15658501]; [57223193; 14951500]; [64593077; 30228963]; [41670714; 77542222]; [63330427; 85709729]; [98539362; 21944391]; [60509695; 54914657]; [21180353; 38121967]; [8639151; 64070322]; [54202525; 56855254]; [84530092; 98628856]; [5042174; 8049457]; [88196427; 67407659]; [8822875; 19131430]; [20545660; 55937713]; [58805522; 18170094]; [68349055; 71067609]; [52088178; 71689034]; [91756598; 31283018]; [38163783; 13816183]; [65812914; 60282414]; [49124120; 97067861]; [73805608; 47260614]; [51762372; 30883849]; [56868937; 84958212]; [6850322; 26497438]; [58076932; 92357611]; [88076765; 78610618]; [98522744; 34746750]; [4492796; 57573616]; [70345983; 20938198]; [25510965; 8260633]; [36654871; 6860231]; [24167713; 20614666]; [8965071; 60421998]; [67251552; 55087803]; [55241327; 15130324]; [13756544; 90454341]; [12180016; 72515277]; [41243549; 4837903]; [85685852; 19514153]; [72518089; 39213852]; [62815071; 20826221]; [55334496; 94850561]; [71644443; 88819529]; [14878666; 20701145]; [96036932; 89674657]; [31313196; 15128609]; [10018394; 90473310]; [41765783; 1156497]; [6034923; 34155130]; [78854147; 2562708]; [23171323; 65143382]; [19930379; 88758619]; [1765231; 13240943]; [47035405; 29569398]; [559085; 86254381]; [23604837; 36202388]; [97655645; 38596789]; [74785867; 15442245]; [19772954; 71292916]; [21065431; 55953085]; [24806658; 41670362]; [54372316; 94480286]; [61540963; 31388930]; [86043247; 76428644]; [59789118; 46715099]; [93697585; 45305761]; [44841922; 6145755]; [6764916; 92533929]; [13738404; 93035868]; [39606474; 69294794]; [66446880; 25919634]; [57270244; 43666102]; [72512980; 77987727]; [82913161; 75726588]; [12191265; 2174210]; [95282151; 83106773]; [73715027; 76338788]; [60889123; 35476445]; [41222951; 97828839]; [39517094; 58137165]; [61703058; 13732948]; [76018785; 43193446]; [34778932; 66418394]; [80822903; 78050320]; [65222946; 79541189]; [25444504; 25683144]; [50240662; 27886453]; [44038622; 87681665]; [57683870; 23591004]; [62399800; 81972098]; [77941453; 2212438]; [85907870; 51192540]; [37522205; 26365515]; [80779049; 60549794]; [42283564; 617379]; [60606833; 2266683]; [63522392; 50350520]; [18745107; 787184]; [66247297; 93221413]; [97154330; 85785291]; [47444453; 9208736]; [52685397; 3336386]; [66016056; 36015021]; [68495407; 15524140]; [88481716; 72228609]; [69709011; 98752541]; [57782043; 76505777]; [3163837; 73701771]; [94514783; 2916679]; [68254058; 94350920]; [22561794; 34455324]; [80712706; 50259633]; [19741582; 92159668]; [90270357; 89363606]; [89609834; 64644799]; [56793799; 84585899]; [90263814; 77197858]; [94112684; 78067236]; [92860048; 37839226]; [19159379; 85435951]; [80926033; 16953273]; [6534880; 37363242]; [70160127; 12788412]; [30802639; 91523934]; [45930692; 56169937]; [97623356; 80483649]; [85148018; 32882000]; [52026960; 57022304]; [22900158; 22456169]; [65255891; 55363089]; [18886324; 50949435]; [63287085; 72036492]; [51473917; 70265385]; [10547958; 97168026]; [61643262; 51404812]; [58604804; 56220622]; [20951253; 24478078]; [52258568; 37104277]; [30252921; 78617844]; [45265812; 46316896]; [44416019; 11063400]; [89950144; 27194116]; [11669653; 37286338]; [72432837; 821842]; [42087800; 31332370]; [53863212; 12666862]; [68813927; 34677271]; [65156316; 10894900]; [65623044; 50302875]; [92162731; 35949460]; [30035196; 10134771]; [9663942; 59087377]; [97088007; 5732082]; [31698621; 74449144]; [13514858; 27631476]; [2096680; 70990466]; [62444119; 25654145]; [94733342; 65781327]; [13937295; 17404545]; [94180113; 57161393]; [76615825; 30282469]; [67798781; 24728815]; [68946581; 20003160]; [59483792; 77515453]; [76461273; 92098755]; [81425079; 86934136]; [34342403; 84748261]; [76315862; 26505935]; [84819973; 52550108]; [18089698; 41465310]; [4126750; 80471414]; [62461267; 37663345]; [97483022; 65608274]; [90271706; 73447093]; [57948032; 70242403]; [19998943; 82695691]; [23693580; 68692670]; [60936338; 47776497]; [4918563; 78307668]; [78248002; 69151966]; [75173359; 64555974]; [99900283; 72036455]; [94534067; 36938607]; [13440100; 65383569]; [48219907; 77208624]; [65063713; 72121887]; [21511259; 87255798]; [24251153; 19949150]; [68949977; 83774878]; [85020796; 17124567]; [88484255; 1000247]; [17264770; 28217943]; [21748797; 99462920]; [87313772; 91466069]; [93938740; 39832613]; [56621333; 45101757]; [18324185; 82373026]; [50752091; 46868562]; [18822452; 16423314]; [18671367; 8635038]; [10167603; 49759827]; [36707715; 50862362]; [83865223; 52206834]; [47582863; 42532095]; [79426096; 29502848]; [42499904; 7711892]; [81754698; 86663511]; [88729849; 37241710]; [57975536; 94381965]; [47547865; 71749790]; [64047957; 62976705]; [40294646; 40292978]; [29403860; 55381295]; [74894553; 70257537]; [84513099; 16098572]; [88064997; 73074970]; [73056239; 61014440]; [41394244; 93821473]; [6284663; 1151477]; [11584370; 891885]; [11073338; 29117486]; [47465387; 26708694]; [941681; 39514538]; [50922349; 9002255]; [26016649; 70959411]; [19764743; 95081555]; [22705269; 38681929]; [73223648; 50511926]; [61484980; 69378522]; [145785; 58992982]; [57026076; 16582633]; [49934678; 18631289]; [49133327; 90872482]; [56109456; 55322052]; [78164699; 66105769]; [6739429; 48071749]; [80365756; 15510328]; [38191061; 71928957]; [7962781; 79866462]; [62846252; 34441716]; [82239387; 12768916]; [77412342; 23688282]; [18972316; 95024612]; [163771; 53342408]; [61114255; 37894935]; [57893158; 84810092]; [23184927; 22941999]; [60236651; 52155457]; [7248345; 185588]; [61249268; 23171598]; [35739172; 28347470]; [14500442; 59388317]; [82043692; 19710112]; [76830733; 29962699]; [35060073; 27032318]; [98206365; 91021867]; [99655283; 3379460]; [63816028; 20372834]; [77351665; 78464920]; [4407664; 60512407]; [21778501; 51599921]; [48575559; 71879118]; [2071148; 95796352]; [9406642; 36649464]; [35578049; 78734217]; [49078569; 34351430]; [37635060; 85364410]; [99961274; 81445774]; [19661746; 91878446]; [89537431; 69545530]; [81069647; 56589593]; [99626528; 76184942]; [23601215; 68356561]; [79724245; 5157369]; [56365451; 5562679]; [7837020; 56319769]; [61474626; 68862844]; [54735608; 24758832]; [58530307; 8192950]; [12578668; 57659173]; [1975839; 1876144]; [13750496; 50238331]; [76450740; 90228640]; [4787839; 1212558]; [32414429; 98852045]; [81972293; 90694128]; [74533899; 60929538]; [79383727; 285042]; [18839182; 53113865]; [33867968; 9739657]; [22801588; 7177317]; [2362385; 93291594]; [17861288; 12324707]; [39999724; 77406575]; [95323125; 91775183]; [68886897; 94994233]; [18466794; 94469472]; [77751897; 12110700]; [51079568; 43740193]; [92151737; 12962591]; [23102869; 85436355]; [15173925; 13319740]; [45140833; 69965150]; [17217102; 39273708]; [86861312; 8980751]; [61218101; 86655699]; [84158286; 62672760]; [62627761; 80597374]; [28470500; 55121477]; [6858436; 96893142]; [3194132; 39513662]; [65312200; 7532442]; [48232807; 50874753]; [8274911; 95119275]; [92315027; 51937038]; [25196536; 50999667]; [851927; 7280177]; [50096361; 44982677]; [35626130; 10576852]; [82616751; 44010105]; [91817985; 93885143]; [14300706; 47414975]; [42675073; 67953894]; [97398973; 56621990]; [89195439; 42457739]; [15589042; 572299]; [6769150; 73615479]; [55510903; 85441514]; [51693406; 30226690]; [23745613; 39420236]; [44170513; 26169652]; [84300645; 17327840]; [93797867; 83126555]; [81465495; 32833569]; [10790876; 10810642]; [87514227; 46964349]; [64633769; 16958897]; [12894909; 88241252]; [31032006; 54176134]; [11044154; 73803288]; [83154770; 83928809]; [51565230; 89119179]; [26557617; 93410817]; [12602193; 57371558]; [86201787; 71569222]; [28341566; 93614624]; [77137062; 77196390]; [39762373; 95183546]; [5426213; 81075645]; [91495548; 71231298]; [89020933; 94519220]; [47503044; 79338290]; [97217734; 82210006]; [73070481; 54009323]; [52326618; 49664150]; [39689700; 9373261]; [14352000; 56417483]; [83988603; 94126777]; [74127107; 74216484]; [21575937; 30677319]; [17976543; 24063462]; [74114043; 43150888]; [13516198; 5555954]; [37588813; 68347622]; [79715812; 92155241]; [15803124; 48925925]; [40881836; 40143652]; [88168402; 71469585]; [240095; 26374186]; [9397640; 59508270]; [80803697; 39078886]; [15286472; 36493578]; [31768232; 21393378]; [90528275; 36165105]; [91078246; 26004833]; [26083990; 48468025]; [18501186; 41595595]; [64594877; 71994407]; [43527344; 59358453]; [23123028; 85507739]; [74793310; 77888933]; [64653716; 45715299]; [5049964; 25381680]; [72137190; 75607247]; [85184547; 14434310]; [80289603; 67008557]; [23211777; 24475330]; [77791838; 5963213]; [61113431; 602371]; [88612666; 74245454]; [73757095; 3399692]; [78723167; 14467172]; [42988007; 35301106]; [82493019; 90146286]; [42912661; 28497956]; [97730546; 13191299]; [26520361; 2266439]; [28229808; 13747652]; [45593266; 50828400]; [57702071; 36017448]; [90014601; 81593482]; [88527314; 2051947]; [14151555; 41028788]; [55437492; 4307186]; [24660705; 59559410]; [78339766; 13620038]; [30485198; 77381169]; [4361924; 61652550]; [57739660; 99112605]; [70196257; 58131501]; [73999929; 99098362]; [63445153; 30326703]; [54166899; 44562931]; [95961556; 40282794]; [5142748; 21808499]; [57080789; 16311354]; [70443419; 90374716]; [32043160; 26401176]; [35433889; 50549784]; [91983407; 56274770]; [26672917; 38605341]; [23882795; 14667883]; [48269549; 59561162]; [89845828; 57404554]; [61558613; 28121500]; [10128122; 53599472]; [79387313; 14921220]; [35081901; 76966631]; [77248193; 6211525]; [27489864; 69955613]; [69992117; 7589212]; [43288172; 33585756]; [24080290; 30366100]; [92672592; 44883912]; [89816071; 32013954]; [79208078; 5897107]; [62655221; 5976]; [51497961; 94078885]; [47499841; 95286793]; [2258404; 88864363]; [46799414; 9119026]; [76792048; 56200487]; [55752060; 96033654]; [2324766; 40980379]; [82155200; 90843983]; [51371587; 45948622]; [60715201; 79615898]; [2611532; 32248151]; [2619252; 79128081]; [29557495; 55091374]; [95194561; 1423669]; [75662464; 6403545]; [89289671; 91570048]; [732398; 86202794]; [2275400; 58338063]; [10845401; 9544553]; [49287466; 28559747]; [31843484; 70743938]; [99061450; 46729876]; [20268232; 60584648]; [61905378; 32129818]; [31065480; 13330376]; [80015237; 88064451]; [63452840; 91624623]; [34086370; 54572693]; [27078378; 81226649]; [66310652; 29177178]; [10532576; 48552547]; [36472037; 91324372]; [50718646; 89667906]; [14443993; 8048733]; [32061648; 72949029]; [98179049; 12988127]; [32858496; 55873294]; [67681274; 67517502]; [47836205; 38962793]; [52811828; 74413074]; [20920161; 49380755]; [80081699; 52728035]; [30630607; 72650605]; [41164348; 14471599]; [32664559; 66715407]; [60490407; 67594481]; [59397761; 70948310]; [15360681; 62132282]; [13007497; 95187117]; [21760445; 32622790]; [89463797; 97374084]; [2250772; 67846581]; [53802652; 43739092]; [74666540; 46422600]; [19484379; 58711633]; [86654293; 21922305]; [61578932; 43863316]; [84281021; 72652967]; [40009126; 54649910]; [72384973; 28705931]; [1056978; 57258016]; [88365486; 9961968]; [487863; 5509627]; [10524875; 22277736]; [11147560; 8084623]; [50004990; 28844007]; [94419744; 50639478]; [43955939; 19702718]; [2461079; 43174196]; [2162708; 73094452]; [86949408; 93234091]; [2694304; 54183775]; [13183886; 41296754]; [4506844; 9528093]; [84651986; 70099325]; [17055224; 18541547]; [9074163; 60730903]; [89048157; 98445969]; [2128690; 58912045]; [73045095; 15591962]; [22037218; 77877762]; [95592889; 81424852]; [19372518; 49672006]; [57573288; 83549122]; [33542812; 43110391]; [60666476; 40219782]; [89710942; 74126678]; [72935053; 46431568]; [82163439; 60776339]; [60707349; 26532910]; [99296598; 37107888]; [53441029; 79736873]; [74483710; 28652903]; [46005326; 61004053]; [69271200; 11956181]; [31213529; 89695967]; [89402121; 98999695]; [54955622; 79722255]; [29136378; 98333618]; [72677840; 88427050]; [9381713; 80361801]; [30114316; 13184285]; [28373308; 38816481]; [39130815; 7489034]; [39665541; 35531388]; [46215585; 41034310]; [86264830; 80028154]; [92371358; 29257094]; [29434848; 67244062]; [36881214; 44808974]; [7153477; 43031429]; [82863907; 73182718]; [21975797; 21495525]; [51331899; 25877167]; [99271110; 17129781]; [65926492; 73504261]; [32031900; 72637529]; [32635071; 58681277]; [33106866; 4441954]; [72911287; 87094246]; [91798508; 39781796]; [38099917; 66216905]; [19255010; 15454313]; [42355364; 14525279]; [5039073; 84814832]; [20028101; 52876440]; [99481326; 78825514]; [44896261; 36415269]; [12384690; 42824506]; [21011938; 97117222]; [30701320; 19272275]; [88262869; 79474641]; [70915787; 4713541]; [21631699; 92926983]; [3361186; 37179582]; [45154468; 94166139]; [25722224; 73245015]; [55688252; 93696091]; [50229136; 98568065]; [93773222; 46072091]; [41285492; 52736981]; [32606449; 73019552]; [22389743; 21090900]; [82692847; 19636069]; [11940911; 44378322]; [9259397; 98358039]; [26830847; 31173874]; [30073766; 77041902]; [34307139; 97079054]; [96170701; 5539646]; [58164942; 47856438]; [80679654; 44868847]; [17867106; 20576588]; [64555654; 99793883]; [35427667; 19091225]; [23059369; 15093602]; [79028968; 13842069]; [87249182; 33055307]; [96050251; 41948225]; [25647505; 14733616]; [59424898; 78720024]; [97734429; 79888006]; [49269915; 19638562]; [92825624; 46901502]; [40854938; 34360961]; [6047519; 45779447]; [19253004; 80561010]; [23422277; 94888707]; [89847058; 35104754]; [31598541; 93075579]; [13923906; 32803137]; [95401468; 30498737]; [84026640; 39832]; [89366329; 57718884]; [31719095; 85053635]; [31095331; 90362756]; [11986621; 59731351]; [28695771; 11268333]; [69148317; 10104395]; [28304260; 42965704]; [45070675; 60391575]; [40851405; 80554297]; [36630483; 54142767]; [26727418; 1989950]; [71858477; 66272772]; [51410206; 38150809]; [7894022; 97760497]; [37449379; 70770093]; [19111453; 1331581]; [30470513; 58707047]; [1128638; 75714400]; [63519200; 8192932]; [72189767; 99866049]; [53710974; 59502424]; [17065556; 28723521]; [57232668; 79464086]; [42311753; 81830379]; [45035180; 30537183]; [97855129; 75485255]; [70579608; 12816689]; [11993045; 63373137]; [94044007; 96357596]; [44760954; 31957492]; [23338006; 74399288]; [40742176; 42956072]; [3668324; 44103378]; [89459383; 93488733]; [83494827; 41166473]; [44435336; 17115854]; [75095653; 62817785]; [38115901; 47306195]; [35580823; 93631239]; [31817072; 35301137]; [43331192; 85840498]; [87743403; 82549611]; [76553348; 22827107]; [68236229; 77343800]; [41616824; 46633774]; [23902798; 28491711]; [86570170; 99254013]; [93586800; 79065938]; [98420202; 28508561]; [52183243; 25495215]; [27392416; 8213173]; [93421320; 85815989]; [73445259; 97652665]; [3154473; 78982251]; [60660462; 52595232]; [1416550; 49015562]; [73022338; 57238360]; [15434938; 32618992]; [81534901; 2962621]; [22981285; 34597276]; [44576888; 54208883]; [58619219; 55083650]; [42868189; 60663516]; [22575119; 77836840]; [61548129; 92670014]; [56021544; 7432734]; [97402902; 89160132]; [64857915; 42489858]; [23838335; 17787212]; [7922236; 69189669]; [47103121; 52005777]; [41758563; 75363111]; [62481678; 46169143]; [3220386; 63565043]; [21131766; 78218611]; [21930786; 26766787]; [59512175; 79715688]; [66449844; 83526725]; [1071105; 74945781]; [38196304; 79657384]; [68460578; 95750974]; [65888320; 4406336]; [44292469; 95533900]; [46214636; 86046945]; [79535664; 29697415]; [93581173; 95138509]; [4203717; 10246292]; [3024204; 53757204]; [62935409; 49488063]; [58350787; 67748857]; [42954136; 64424787]; [21426994; 59510877]; [39245185; 7793835]; [95006784; 43597812]; [90429439; 28772031]; [83801630; 34412122]; [77438202; 73081747]; [600432; 61567303]; [47986740; 47309237]; [6420611; 7239958]; [36543562; 11238244]; [85080557; 75186073]; [30468003; 4033401]; [83439013; 92763653]; [85981024; 13093859]; [46908726; 51644330]; [11992237; 92140589]; [96801980; 12374072]; [57841316; 51893077]; [69313313; 13999885]; [28934327; 81577497]; [47237051; 48924737]; [75424631; 23313651]; [84996735; 16530097]; [3952990; 49432582]; [71333627; 44198624]; [56977422; 7947896]; [72010856; 18432730]; [7193908; 91876978]; [86958791; 51586218]; [63819212; 54291926]; [62309177; 51636888]; [85340781; 42598168]; [72955493; 66234642]; [44058160; 40947641]; [78432248; 73907577]; [4013666; 57853719]; [19388923; 36153660]; [38483468; 96765221]; [66891657; 56737986]; [67308817; 53720269]; [67182100; 97427917]; [16601514; 22523684]; [51402645; 9842492]; [44061120; 36490784]; [96413476; 85871528]; [44619236; 6330191]; [84765766; 96004146]; [78799124; 68469921]; [3825183; 7213034]; [88336562; 45709256]; [91943214; 56053706]; [63930436; 75364220]; [1629997; 25178656]; [87725578; 57228057]; [93935680; 49221235]; [5624818; 32382110]; [38889317; 16526620]; [35145961; 40079156]; [27795426; 48540563]; [43929144; 73133822]; [68637396; 31672941]; [44846854; 43242350]; [8475627; 20093715]; [60514221; 45002406]; [94779113; 24438536]; [41451903; 66382499]; [4330819; 42361948]; [9414954; 63842143]; [40267037; 76209737]; [84416470; 72320882]; [44442433; 65186807]; [83434506; 4932322]; [90504447; 56669159]; [6815313; 64866667]; [27937449; 78291270]; [55825125; 53159228]; [98333601; 14154695]; [28496803; 4994644]; [95319872; 76481768]; [31256732; 87367454]; [64544664; 64410311]; [10633808; 92349891]; [24655138; 40033393]; [81865813; 96609482]; [87424475; 65055427]; [66427071; 87210030]; [81295130; 1429890]; [32782403; 73605973]; [5616891; 45694385]; [71725790; 95103327]; [26564598; 55111126]; [66580810; 6698976]; [27092829; 27098503]; [31671988; 17903536]; [41191114; 41738521]; [598907; 53230768]; [58091782; 71035461]; [9749754; 91415458]; [53779423; 77816150]; [27836113; 24843624]; [64983879; 89996651]; [93889396; 38857961]; [68503294; 29367306]; [56149585; 73264890]; [8885810; 94584536]; [91349062; 77577327]; [65577948; 39090221]; [81179008; 1500487]; [76504764; 24465]; [82299572; 50582345]; [46284613; 26974728]; [58149310; 79439818]; [75384593; 41872502]; [9172060; 22988895]; [66670099; 17877694]; [85188550; 33116661]; [73209934; 87336305]; [49147644; 31326724]; [28025119; 79697339]; [12949619; 65156336]; [40139762; 6262615]; [68344079; 39910236]; [65206109; 22282273]; [61480591; 6393962]; [86486904; 59220115]; [70426706; 11556343]; [4703591; 11993894]; [50043679; 43867101]; [92455343; 13899202]; [66923518; 5803601]; [98574236; 65122275]; [46181113; 77223765]; [16576212; 57620109]; [9854609; 85370386]; [17187604; 60107933]; [25060063; 10535931]; [16397899; 22296372]; [47627378; 52698625]; [82943226; 49985585]; [8950665; 25995092]; [89756476; 70052361]; [34545530; 56070577]; [50765314; 64962194]; [92119686; 79170505]; [92680523; 29004364]; [90463477; 42107451]; [43187664; 95884290]; [20704830; 54135033]; [33533908; 60499633]; [36453153; 35230547]; [80844103; 53655824]; [58762052; 76573576]; [19311137; 56071630]; [30558629; 94795808]; [59677068; 30170434]; [64151620; 77255233]; [2715359; 27366941]; [88922947; 48830292]; [76029919; 84082081]; [34863079; 8201841]; [16477788; 99335379]; [35287743; 336101]; [58959839; 7423827]; [85902835; 31133219]; [50295970; 20705831]; [79036867; 26911123]; [63295587; 40486366]; [90038896; 40150050]; [81492699; 11237867]; [89767274; 78260980]; [68800704; 50995506]; [8037462; 72512302]; [74443088; 93519099]; [74289207; 27918258]; [52153704; 6880501]; [85371058; 35798599]; [49221156; 5864367]; [76410626; 21454731]; [26321795; 97004791]; [43641753; 20516388]; [95125913; 35776816]; [89008488; 87984705]; [55530033; 28256057]; [11089729; 41436366]; [36644103; 78207961]; [96272279; 83726403]; [16147005; 447564]; [94410656; 24040866]; [65953205; 13681219]; [47727716; 30093816]; [45565604; 49850760]; [76653747; 13609068]; [58900618; 79457148]; [84008497; 79641415]; [3683695; 47720590]; [27703012; 28885328]; [82746516; 17371828]; [81620073; 97380593]; [34075974; 38946868]; [70568676; 17853708]; [63571724; 32209089]; [2005938; 71490091]; [23673520; 67122680]; [10229497; 23772913]; [94522618; 39301466]; [93354943; 30220491]; [16286709; 61395776]; [45749578; 58682153]; [73450866; 28818331]; [32231678; 69385592]; [75768834; 2963374]; [40250306; 69423340]; [20404611; 74088607]; [21950440; 61900294]; [23781487; 17651287]; [3226526; 8373833]; [63618818; 41766375]; [94019615; 453534]; [91245239; 2371275]; [56136633; 82833076]; [4965196; 9684522]; [15892983; 14114696]; [8684047; 18107871]; [53765031; 39867528]; [23549426; 95666563]; [67031055; 45215878]; [86210098; 28338482]; [96710602; 22704086]; [44932524; 71798535]; [82744251; 81362948]; [11249241; 59634829]; [67362883; 44136885]; [98086327; 50513776]; [6038228; 45828792]; [5793303; 75836769]; [84448910; 77908935]; [71461554; 21780167]; [52027874; 26275822]; [92241570; 72713398]; [36619404; 87395722]; [45415311; 28396642]; [76517239; 7112590]; [53807154; 47879438]; [7368141; 23681881]; [18702302; 25929615]; [69642125; 47536833]; [15065135; 89661455]; [48580236; 12095502]; [44294356; 99469097]; [26303653; 13339231]; [82696098; 59943435]; [97587021; 46970336]; [51987870; 93251177]; [92809491; 8051327]; [58014467; 94298963]; [58025896; 17772989]; [99819302; 31137793]; [64080422; 77202890]; [21078043; 37243237]; [84208768; 64858213]; [49341203; 77137931]; [56869937; 15049199]; [5794115; 4087615]; [16364814; 36447428]; [32876180; 21764023]; [91421273; 88580735]; [34841507; 17392180]; [59659694; 8968977]; [51948720; 37956428]; [42636244; 61664481]; [80079222; 2334968]; [57051788; 4977262]; [32419081; 36186314]; [95894571; 40267658]; [64955102; 52620959]; [54472326; 49706756]; [50179516; 16887621]; [7278995; 40091979]; [47752054; 27393777]; [23195645; 55299817]; [45534487; 89523486]; [33929531; 83947316]; [82189805; 19006033]; [66399497; 65494853]; [66138610; 98689710]; [13888801; 32619632]; [56435666; 84967893]; [59116987; 37673012]; [80408618; 64780614]; [18170095; 8082666]; [1384157; 59775723]; [10415282; 14184971]; [74678310; 70430619]; [89333534; 66120452]; [70350134; 99870187]; [76399132; 55284863]; [8344511; 57179022]; [85942159; 2708720]; [76604922; 83653039]; [53932363; 78271719]; [61625515; 37915112]; [10114197; 87462667]; [8785354; 23106530]; [89594052; 77181858]; [4763940; 97920780]; [30149686; 32576197]; [49333857; 13121859]; [4665520; 9391264]; [49815226; 81281253]; [398717; 30896973]; [64320291; 59499489]; [146498; 62002376]; [375809; 3480085]; [45202376; 92582020]; [2602011; 11760799]; [17174851; 69770097]; [76712729; 85366826]; [37149211; 39902257]; [50321512; 37909197]; [90777140; 26828299]; [94772496; 90422470]; [86016737; 86919587]; [95777455; 23379964]; [21743788; 22974123]; [59390719; 7796145]; [80751870; 90657662]; [7754131; 14121438]; [30902304; 83381785]; [78140661; 67966310]; [85059560; 9912948]; [70382173; 70339702]; [38346588; 16796928]; [21116826; 94791414]; [26203449; 20633041]; [56242329; 25290926]; [52143387; 72974481]; [1502913; 14836741]; [615526; 61413086]; [66130087; 64011937]; [84954520; 95520468]; [21665403; 65912997]; [37514193; 37800612]; [72055614; 93493389]; [37458582; 71667622]; [87160930; 85386453]; [30438136; 56951395]; [67709114; 15428003]; [25261083; 24656541]; [64813553; 10028565]; [5970841; 44475302]; [31606309; 29787903]; [35444651; 64921571]; [57367846; 77280939]; [64747804; 24410733]; [55790235; 69785673]; [29833405; 75511569]; [4578688; 90482285]; [58672453; 22727975]; [80608528; 24850362]; [35272891; 16610835]; [91891523; 52013820]; [72495690; 86113669]; [4772225; 63032538]; [68079357; 96784479]; [60423213; 9524872]; [84133693; 93107854]; [55232317; 11975122]; [68114284; 61461888]; [88159299; 81961619]; [66206513; 24432172]; [95027037; 80778340]; [96655157; 15321522]; [34044984; 58575848]; [60455301; 87892602]; [79468691; 75468588]; [81654676; 21350628]; [37392263; 24916285]; [75667799; 89292406]; [52538835; 78133980]; [6706251; 81830135]; [44455508; 28607257]; [25687611; 35121384]; [53714099; 18259772]; [17014479; 19598998]; [84906840; 34984738]; [87665599; 79854134]; [41218942; 81333300]; [39887064; 68830895]; [46770738; 3278817]; [13308506; 46750726]; [24523918; 64463952]; [6053666; 1179774]; [61742212; 12271393]; [13746100; 76575610]; [77538887; 23136027]; [9602863; 36872153]; [78137884; 36285279]; [89628519; 59039565]; [10336900; 41717663]; [79354789; 2805377]; [94643374; 79927476]; [79276290; 65478322]; [33835469; 8035604]; [86184494; 24495054]; [46936967; 5749887]; [28775143; 58760802]; [16373821; 87939972]; [176975; 35596575]; [58723436; 25811524]; [21507695; 45875770]; [37398408; 19221298]; [47776869; 85193026]; [70251842; 99499535]; [65157858; 5085050]; [65779497; 55357863]; [78390236; 73827906]; [25702529; 98371743]; [34899728; 94889985]; [4831379; 83261671]; [45434128; 80001475]; [82093329; 52233369]; [32449472; 61327676]; [15897163; 23581881]; [43276691; 74937494]; [38946522; 57949137]; [52930079; 64233299]; [85887499; 52123301]; [14857989; 16533429]; [12873821; 68360470]; [40686515; 98456724]; [17417907; 69183828]; [10651447; 5798877]; [2278506; 90954529]; [22516364; 24570912]; [13345414; 55148807]; [61074672; 94791587]; [78647096; 94944240]; [597864; 68563725]; [64662822; 10268762]; [98434128; 80225585]; [62580869; 64181454]; [80814907; 14643343]; [213059; 57352504]; [42422817; 99061926]; [70249460; 4368815]; [43950865; 73141592]; [8334400; 85276930]; [69684867; 99276395]; [69148544; 2330332]; [8298325; 18496156]; [45612967; 31351272]; [62217928; 34143603]; [24270053; 1887137]; [46109792; 16904698]; [23046079; 50638173]; [27212560; 64294734]; [2100182; 42864693]; [22025956; 77506519]; [4492729; 29383239]; [15009887; 47860598]; [17694497; 80386110]; [37877283; 97968970]; [40652475; 93275127]; [18261097; 53919171]; [41669473; 93519793]; [92174882; 13429468]; [78681048; 25943033]; [84456171; 66629480]; [72525744; 74446689]; [73933367; 91366213]; [75300025; 73496825]; [12366249; 6590980]; [80526612; 60610405]; [82224200; 24251836]; [3682500; 4493338]; [61998758; 17256734]; [33764237; 5340115]; [59506119; 35643749]; [14657932; 40742636]; [73417490; 7949448]; [42089205; 81269124]; [88559800; 84372822]; [37059879; 52279136]; [28230012; 9533466]; [9167567; 55177441]; [16594014; 58076263]; [21447342; 35325745]; [56213175; 67543144]; [11178124; 13142624]; [6466841; 20742336]; [17126777; 85104944]; [80313343; 36553908]; [70458964; 24965598]; [10858073; 55482916]; [69583422; 53166098]; [79830639; 83009006]; [95575180; 81618045]; [58769052; 99216627]; [4804594; 80148780]; [7456203; 87857627]; [19961991; 9126990]; [93144851; 70640825]; [8343387; 89400969]; [3188660; 99406575]; [95395700; 2068002]; [92653117; 10395816]; [37385426; 72893704]; [93592426; 47725811]; [84747252; 66176082]; [34623934; 66308096]; [42758516; 42334147]; [26397353; 78802162]; [54642802; 43088219]; [74675274; 81742981]; [27916880; 54445303]; [6608490; 9039424]; [59123273; 64994033]; [84604550; 13042785]; [82282074; 99908151]; [96830685; 76782245]; [58530608; 48422118]; [92152943; 60980009]; [63025025; 29699635]; [96542822; 42235368]; [53720583; 49949484]; [97473833; 24783868]; [89837517; 70719325]; [85243628; 46566492]; [40319514; 27831061]; [37702126; 80096664]; [75567292; 89890044]; [5475751; 95045725]; [2394107; 1652003]; [53626542; 36563086]; [85406469; 9638034]; [82589570; 90746564]; [17533222; 29921522]; [37142673; 30982178]; [70937774; 24705299]; [17132168; 88696818]; [21407969; 77654339]; [73128477; 48304420]; [10754899; 2243782]; [1730611; 12686972]; [52182108; 25991903]; [16834916; 10568187]; [95231652; 44471465]; [6365345; 90021199]; [73344909; 39209530]; [55323129; 74049399]; [92964383; 37910645]; [63461605; 21507933]; [66363700; 53841199]; [73034289; 3987367]; [39623849; 98166840]; [84728421; 80401421]; [98398363; 41162303]; [16875921; 79563667]; [92290778; 56081848]; [41862181; 34910915]; [86525978; 8852232]; [33438383; 35809943]; [85913132; 9671876]; [18123669; 38508287]; [92470021; 325340]; [18370097; 71188389]; [585240; 1647233]; [57137426; 22733808]; [51173602; 55006748]; [67480299; 42228062]; [76301445; 78637604]; [89302201; 52676637]; [14104339; 41550488]; [51121935; 5182733]; [64923006; 11195218]; [92495148; 57958343]; [49062085; 19022341]; [7126483; 81304971]; [56895909; 72287245]; [21832479; 2798302]; [93281714; 98829449]; [31064548; 73227484]; [39485356; 86663719]; [62406723; 41750149]; [17003058; 6160920]; [45902273; 88670558]; [62221909; 56913189]; [83758086; 94316993]; [11576974; 35680792]; [64499129; 53532458]; [61110162; 36800064]; [75165191; 61163689]; [5395971; 43136604]; [84015218; 7813718]; [5977661; 18252065]; [81110611; 35287762]; [97420925; 80833874]; [23590360; 34687704]; [61167558; 99855628]; [51519362; 32730179]; [76391767; 69058534]; [33652226; 76763069]; [67394590; 12858146]; [78884592; 75450726]; [54504314; 92100103]; [46738914; 73384143]; [43014373; 40735686]; [85144579; 83571998]; [19443018; 30589928]; [81551933; 29188501]; [43033213; 73023232]; [92709207; 92460615]; [56283290; 58334054]; [96391977; 8518644]; [9817394; 99736373]; [75073720; 92173178]; [41434672; 47519553]; [67982994; 79418699]; [90029923; 32385597]; [41008153; 77948024]; [66024595; 12263839]; [46550002; 69072244]; [23699598; 28689985]; [60669904; 36788912]; [84214759; 72706783]; [14282880; 79255875]; [1887599; 44267305]; [84680081; 20069954]; [12324488; 23331386]; [28442409; 9250771]; [92477608; 23983877]; [20876837; 42376357]; [64277060; 7920170]; [72832255; 3378101]; [42904877; 12272568]; [96661126; 52018085]; [57088053; 92975154]; [66166117; 30810581]; [55564345; 77484617]; [82991776; 5234340]; [23755315; 38414132]; [31660725; 5213070]; [30618994; 85883423]; [80970746; 45561904]; [13925621; 28426019]; [76928033; 70407378]; [10177265; 29033434]; [15792327; 52209621]; [47115060; 33962535]; [22328174; 5915430]; [85103479; 70058466]; [68489513; 20451945]; [77651548; 1395070]; [27196656; 65815402]; [13864863; 82087138]; [11852474; 87344918]; [3594903; 42193377]; [24329147; 25971316]; [79388651; 40896413]; [82229979; 7313579]; [27894596; 39102374]; [23147756; 25585362]; [27176540; 19639580]; [45932817; 84373876]; [13185625; 97858391]; [18586386; 83613856]; [16513854; 4398018]; [32219095; 41499421]; [66912391; 53348880]; [25116212; 59224318]; [66598522; 63572483]; [88239703; 51539766]; [51046610; 18076765]; [18212227; 18972566]; [5314858; 3095741]; [58746553; 61197077]; [80180794; 62602949]; [79268670; 76156113]; [19442558; 22323943]; [96283589; 54465640]; [43255019; 61560297]; [7329421; 78674394]; [56619506; 29666695]; [86170900; 14032887]; [77402605; 86851985]; [31996002; 62014556]; [4682018; 29493194]; [69633224; 32475289]; [7019828; 82318178]; [36008412; 98246834]; [14771495; 32151106]; [42602871; 4680522]; [89186415; 5376798]; [48805211; 31730469]; [3896347; 6305984]; [18106055; 58405024]; [97710331; 20224887]; [8415312; 82600837]; [25667462; 8598519]; [45704472; 28421279]; [18402668; 67564298]; [37355659; 51461606]; [77355834; 18136133]; [87058900; 71279378]; [99519845; 97591861]; [43728578; 19462169]; [28776514; 35824188]; [95106282; 18701546]; [98554205; 41371647]; [50657049; 99095458]; [95861172; 5585310]; [39717321; 9689158]; [9470440; 57574584]; [31989342; 80340871]; [81566592; 39609322]; [92529889; 79688466]; [76585056; 39201580]; [77184444; 82399004]; [52441959; 41160714]; [6329209; 53270852]; [18265052; 54594291]; [3443042; 83852886]; [15423757; 85003738]; [10122409; 84315360]; [73987005; 39967623]; [25995144; 46580538]; [67381302; 19330145]; [68804464; 17580027]; [35408494; 43100372]; [99515135; 55707312]; [8416206; 98187837]; [51520400; 51564732]; [85100020; 51586122]; [34458653; 56493066]; [90333092; 84558602]; [84636936; 8928905]; [71229981; 30750075]; [42588208; 11090732]; [23192118; 86372713]; [87211020; 60590838]; [89692744; 16357346]; [92722447; 41155303]; [98648306; 98554481]; [13816125; 82791266]; [5025172; 49790501]; [98213740; 3742667]; [49095292; 34881090]; [20268087; 1347819]; [95220312; 95503364]; [63014670; 6657919]; [92500744; 84051952]; [59558750; 42110715]; [35908974; 53776254]; [41797596; 11530909]; [39881552; 23113261]; [14054262; 25625153]; [57737329; 32383790]; [37356871; 67268458]; [3435891; 55779442]; [43243367; 65668788]; [11230345; 75900599]; [29757255; 3766496]; [81198823; 36223696]; [44282505; 42929432]; [47158626; 32048466]; [46441774; 75496731]; [41355589; 51288518]; [98273958; 24368855]; [87174572; 23637280]; [8554987; 11228330]; [34093769; 50031565]; [95095353; 75404416]; [75287444; 53615167]; [47662840; 32049095]; [51164830; 13817345]; [36812757; 76671319]; [25498104; 24055179]; [24017843; 73733062]; [96027610; 31023218]; [93049301; 51029948]; [40008956; 10584875]; [46966627; 81822222]; [91389992; 32956545]; [6896941; 55534552]; [31488684; 87803579]; [67338979; 82244510]; [21072001; 29433417]; [49877389; 50569620]; [84819652; 55263788]; [99057808; 67031433]; [61094008; 98043010]; [48288892; 52244369]; [24447974; 2292618]; [19996881; 98734215]; [94580708; 11420972]; [24105666; 9536470]; [51972910; 63986099]; [75550917; 54396819]; [58046162; 47149237]; [97854860; 43177104]; [82153152; 30106495]; [62613968; 13751667]; [10158284; 22137624]; [96202496; 60670630]; [31920542; 64108336]; [46146884; 65976603]; [96344125; 98160593]; [75042673; 81555625]; [43160878; 47028579]; [30653199; 59134629]; [94640266; 55444296]; [56636937; 82091065]; [82442440; 76557981]; [25468894; 65286261]; [3124359; 69021386]; [23691377; 25242947]; [86730311; 43229220]; [27593626; 58634208]; [375523; 58744362]; [89690013; 79173870]; [62452034; 52229084]; [79343411; 87320963]; [66194010; 51731937]; [9985940; 41634516]; [98087745; 11421098]; [7140146; 67493178]; [54559335; 51824661]; [88213010; 3497887]; [31132811; 68271317]; [90808965; 53552841]; [62292782; 61389658]; [10705985; 48374438]; [82986099; 32416073]; [81588210; 88360956]; [61322263; 43257073]; [34135362; 84178390]; [60947690; 47942518]; [28254998; 40560230]; [62240191; 894116]; [60180841; 14281485]; [82822233; 13522774]; [12937248; 10099586]; [70723014; 28815510]; [5211632; 82323857]; [87912080; 33826634]; [77951872; 93197754]; [11619735; 29620830]; [36905404; 88418521]; [64564513; 33635642]; [27855934; 72032653]; [44048606; 75766927]; [14384554; 36196371]; [16613011; 70763195]; [27839589; 4791760]; [20186920; 95643180]; [94046621; 95530501]; [63379726; 78770908]; [33593907; 4273388]; [42272817; 31262443]; [64719527; 97121518]; [96916645; 64422853]; [12018451; 89509375]; [25087655; 37853333]; [70787127; 81856495]; [74906057; 52114593]; [70520518; 48383959]; [81145750; 35634770]; [23383836; 56889595]; [77421262; 7721378]; [14972958; 12352055]; [23725140; 40623006]; [90098877; 26867886]; [76671697; 32721912]; [67951699; 1628538]; [20944975; 44385984]; [46701672; 94128977]; [3299954; 53388595]; [86365765; 17345397]; [59216554; 99554010]; [65246343; 11312077]; [39354005; 48607807]; [71794220; 55465384]; [69768129; 81038515]; [69218423; 98773821]; [94241431; 10534551]; [34141061; 59060462]; [16692762; 32295391]; [44240199; 33567301]; [21025140; 33103603]; [77569407; 94220248]; [14175756; 45938223]; [76998009; 92618657]; [66892690; 86402971]; [59237282; 75574256]; [91927165; 86131848]; [24377310; 748982]; [64451659; 35010734]; [5770631; 39602502]; [82509738; 96572449]; [85943459; 89511678]; [71814725; 18285712]; [14185350; 48975623]; [69655956; 4362849]; [87449701; 48268069]; [47711012; 68172768]; [97139504; 32274048]; [81322273; 89789101]; [17463194; 22654226]; [5107469; 14252112]; [12889748; 93686738]; [35683278; 92202771]; [4611115; 61590620]; [23578240; 42025746]; [20446743; 75657143]; [4605250; 31912280]; [55736842; 94558549]; [7611984; 71723762]; [25384485; 69112824]; [19971461; 10097065]; [33347413; 43478896]; [62692614; 43279603]; [26036055; 47085330]; [31687130; 51554851]; [82632210; 64196560]; [88893370; 48945653]; [72433701; 88038991]; [75513484; 31812625]; [49011466; 61465757]; [19087463; 35598474]; [26240751; 80612149]; [22910988; 57281813]; [52508613; 18793415]; [48594394; 37411315]; [92500013; 7992674]; [34669081; 15521711]; [77394872; 18057106]; [55242504; 35302107]; [70868238; 85201030]; [60546748; 64520807]; [64165302; 49385316]; [14511177; 17368342]; [27737335; 26943168]; [60121358; 7290768]; [81668344; 67797022]; [42284818; 69805709]; [37606660; 65851300]; [1477247; 73478319]; [94487102; 49679907]; [27257405; 91344747]; [65479748; 3999055]; [42821568; 4116021]; [70455951; 73765775]; [32729027; 2094498]; [56688087; 71443055]; [55783846; 52778178]; [30963397; 98019552]; [63795841; 44711340]; [19634547; 88847072]; [84375723; 53366707]; [6696940; 94699708]; [48647193; 94274571]; [99645119; 26241196]; [64349726; 17091655]; [91531278; 39729429]; [43172717; 89524634]; [72150551; 56571965]; [62250288; 72961717]; [63143012; 49163012]; [79236742; 68831605]; [66569455; 15182395]; [31076061; 98719105]; [71147401; 11395977]; [54781465; 1113006]; [39710038; 60550221]; [86772639; 9189496]; [90978054; 7856188]; [52058958; 16747501]; [75111851; 7576510]; [9249875; 93526969]; [55020690; 44398752]; [94800884; 65309615]; [42550178; 92063498]; [71072225; 99290803]; [90398635; 77865643]; [35569016; 43519553]; [79817516; 47978902]; [79844174; 97084035]; [38747547; 85282050]; [90612053; 43187923]; [26002974; 63874908]; [53050674; 51594598]; [92054126; 416582]; [24469546; 94396112]; [94799530; 484741]; [62730462; 23783156]; [70916248; 95748338]; [29060809; 997157]; [42940415; 4415931]; [20374790; 95367163]; [22956496; 36652439]; [4538955; 90012878]; [93313916; 11066952]; [73647734; 98338868]; [81930502; 51989002]; [55993782; 2534677]; [46962513; 81477978]; [49356051; 26325950]; [86085651; 20373270]; [8984905; 54303198]; [63957691; 14372623]; [3956561; 98033036]; [37089134; 11005729]; [89599755; 49938598]; [27383436; 29094590]; [73190173; 32846114]; [81265612; 45318502]; [25510058; 8383418]; [10459169; 23545157]; [49220042; 10473995]; [67823231; 88560817]; [96220629; 86339976]; [54235572; 99788193]; [65165426; 95193412]; [16971914; 29480414]; [5300164; 429237]; [53119574; 11371590]; [31751127; 90279793]; [30623745; 67368301]; [38584344; 42742042]; [62066329; 36409683]; [73745328; 28862506]; [75255129; 55688708]; [47509789; 66998034]; [74617602; 19618603]; [19993155; 63598596]; [59703370; 60131852]; [84975494; 73096790]; [71313255; 91839221]; [49558725; 11559973]; [2214998; 60424157]; [83658110; 57866428]; [27248242; 56918180]; [58886162; 59225511]; [75122246; 19873628]; [1672516; 45380465]; [35325383; 67957019]; [86356385; 73032318]; [52247010; 37066417]; [7968213; 47855594]; [26149290; 97123232]; [24757848; 19737758]; [31643463; 78389323]; [71714599; 18031024]; [78542744; 10528610]; [97118993; 76652967]; [27701503; 91041621]; [27626662; 24701268]; [22972635; 84275656]; [52264452; 13329779]; [10029111; 38457857]; [27188341; 19277934]; [32750643; 50982238]; [46680098; 75473451]; [30537738; 73547943]; [97895926; 99047163]; [87495875; 66511372]; [52843556; 78959867]; [44740185; 60314534]; [25611416; 73016102]; [38964566; 25931453]; [8110966; 68535888]; [32671235; 7635356]; [62579084; 24921966]; [57710358; 96311602]; [73485313; 19464494]; [65533802; 70230779]; [96416273; 72167548]; [95412044; 28698123]; [73019350; 10650487]; [19820904; 20492388]; [14522299; 51507283]; [62380892; 76664586]; [60227242; 15632718]; [74432302; 30444021]; [59473382; 49824402]; [73282652; 75943543]; [32878676; 46166664]; [74404046; 23040017]; [13231098; 94375251]; [89889849; 46394362]; [4906304; 111205]; [55605381; 88653367]; [81957964; 14059593]; [73461296; 70127261]; [4657758; 2445886]; [51573343; 29299875]; [35811669; 50313040]; [12711851; 69673207]; [55566252; 96965009]; [33623465; 50908629]; [30582027; 53096197]; [32008166; 46478652]; [75902786; 47697891]; [14945264; 62856587]; [80295613; 75267702]; [71781229; 18753237]; [73887003; 67061346]; [68484080; 80638920]; [93046385; 85132031]; [70172052; 50024739]; [58157668; 33426703]; [65390626; 167522]; [69335688; 44379665]; [15622513; 55652911]; [47389260; 17385991]; [51380060; 38307241]; [66269024; 73548177]; [6001326; 32087870]; [39883039; 96222632]; [22389739; 34444448]; [65370135; 98421569]; [2369371; 33824132]; [88638755; 36502187]; [97611043; 7316551]; [46609847; 53691759]; [75832645; 76909366]; [65574278; 91772240]; [11417036; 68876708]; [51519161; 35842040]; [44090347; 67338121]; [5160548; 85661040]; [16681077; 50986448]; [8679572; 6481522]; [56840127; 15667008]; [18427766; 86782509]; [81026873; 25344165]; [29186011; 36395380]; [44422411; 96626786]; [40953016; 89085428]; [11311789; 72762870]; [71062398; 87969976]; [24651250; 85959993]; [82685405; 62960495]; [36502150; 42617425]; [39629668; 44053078]; [85166767; 3881053]; [8193829; 25143678]; [47175137; 32064357]; [19799503; 3382963]; [92062030; 387814]; [4926966; 18405094]; [49544939; 20781389]; [56755088; 9256652]; [62182413; 7883322]; [15093212; 7516779]; [8798392; 62237560]; [95732951; 47207671]; [57885925; 60550453]; [57184868; 94155812]; [45468; 18655890]; [87188488; 92065302]; [82853772; 5191015]; [54721696; 97069128]; [733788; 64971069]; [60206697; 59514275]; [11861605; 17079214]; [1468930; 18324978]; [80111700; 64854918]; [65391720; 43542360]; [46318702; 61493300]; [90706866; 13756655]; [93207573; 15596772]; [94268813; 23388746]; [81537614; 88524862]; [27420430; 71179696]; [12084187; 61954862]; [60535701; 62486481]; [31495617; 7504379]; [30947520; 58215112]; [11737033; 85979721]; [30822232; 20038461]; [3126569; 51326612]; [89534990; 34769723]; [14523985; 19025880]; [86528823; 49727191]; [98611360; 87354737]; [82161878; 51050087]; [93467808; 66109732]; [96214789; 47806045]; [56519925; 38279970]; [96092525; 52146614]; [63913878; 44949896]; [9819071; 65960629]; [7610726; 91528431]; [35163630; 20110408]; [12505849; 74808741]; [66090514; 66122604]; [52914609; 52765535]; [66062427; 66005976]; [13434630; 55868899]; [39517811; 77911050]; [39062511; 62933972]; [58232525; 64652384]; [5926781; 64830732]; [89202317; 20824379]; [50903428; 22105433]; [98314683; 57559450]; [110970; 41605940]; [23667604; 73564204]; [99785599; 31462692]; [8892811; 11850379]; [28036853; 34585531]; [54436943; 48779927]; [78836285; 27914228]; [2156212; 54967978]; [1845988; 4081113]; [22072469; 66243592]; [47082642; 56793013]; [54400033; 79713778]; [53748839; 95322823]; [60032215; 85084749]; [98509756; 63258207]; [32168673; 59772474]; [59416748; 37920425]; [12506232; 71044766]; [82441084; 78455306]; [46215315; 42970424]; [5673909; 42223292]; [33360220; 86079741]; [7587606; 49648595]; [53873433; 35357521]; [61588801; 14511922]; [20756858; 60162190]; [84008099; 94583841]; [74714351; 45525998]; [24288444; 21413601]; [37547294; 13637140]; [78260591; 21423546]; [64831437; 52469718]; [48738095; 62959014]; [38105071; 78045573]; [31086468; 9369354]; [83666535; 64691682]; [45754295; 20486084]; [76091335; 30088541]; [43948663; 78278402]; [4172650; 46136630]; [9355772; 94921514]; [47368108; 84731651]; [84209591; 11469818]; [3176045; 74526154]; [6950451; 51618500]; [76423895; 17471577]; [90567205; 1824062]; [89806647; 75716235]; [27003962; 44352004]; [84372121; 93140595]; [27785477; 49505887]; [19794072; 43602404]; [18512670; 91390960]; [29626487; 39182373]; [15989517; 45488826]; [13687707; 94864297]; [81428139; 2375953]; [46294003; 32894944]; [76212784; 71429468]; [52615765; 92246304]; [9284070; 83200628]; [53745425; 95327220]; [55024373; 32015611]; [55040714; 79707202]; [63985576; 33464481]; [14885232; 44116889]; [8070240; 36768002]; [5769293; 76684139]; [34901644; 89334977]; [55095948; 29870001]; [73608736; 71056291]; [84968282; 80220009]; [4813765; 31671262]; [97332815; 29957013]; [85057303; 19086529]; [69308952; 94162650]; [56852207; 94702625]; [10994674; 65794028]; [14130061; 87030704]; [85235866; 5941748]; [26886718; 63619942]; [98913199; 78563156]; [92106787; 48353841]; [82872737; 22195985]; [7980759; 41620664]; [20355239; 58402719]; [74836414; 10161220]; [36624855; 33743260]; [39716111; 7210799]; [42310720; 89378238]; [26580481; 60124868]; [50372307; 2106170]; [56283200; 92538521]; [95623707; 53752209]; [27541936; 37483790]; [23151603; 12037661]; [81591851; 58023483]; [55162870; 57461554]; [29848762; 27318325]; [17367368; 71219124]; [19204573; 58520452]; [90501467; 68489003]; [49529062; 66801741]; [69485114; 91159122]; [43955655; 86297295]; [1327141; 96018782]; [65437610; 76134409]; [72977683; 10997356]; [20070646; 65986349]; [99646370; 51457868]; [50988754; 11416531]; [16793207; 32986107]; [95103807; 71434369]; [21889467; 1913807]; [44302983; 22808999]; [86154314; 92400198]; [96726242; 76987178]; [80977965; 21969165]; [85076118; 88365899]; [20048706; 50355791]; [68022772; 19786852]; [11255695; 76142675]; [41636710; 37368492]; [17129703; 5803260]; [61435191; 15978437]; [63222825; 10305993]; [92425291; 41813239]; [12985452; 79195969]; [83647054; 56178094]; [77302387; 3089030]; [65362239; 15758634]; [23817281; 40918882]; [99746387; 9288378]; [64851521; 42709680]; [41689340; 26299617]; [47942265; 57338326]; [72429334; 67606594]; [2566310; 44450385]; [30940296; 22108713]; [57277088; 25310967]; [39600619; 28837794]; [81796122; 45274294]; [38033798; 6117851]; [80496990; 71547318]; [20446159; 84389463]; [50982496; 70023562]; [73288750; 73435264]; [71257483; 83388633]; [22382733; 29790508]; [80053684; 84984793]; [88342801; 6781874]; [41139539; 80396853]; [55890620; 9240007]; [87413369; 57036687]; [35347953; 203867]; [61323453; 45735234]; [93177695; 51655398]; [2864624; 49722118]; [30712917; 68127469]; [52628393; 14766997]; [32292057; 5739994]; [10550628; 41436481]; [16522578; 64814218]; [16648076; 27292897]; [56712964; 22849183]; [33038955; 95948296]; [55692870; 2928524]; [66522586; 89681359]; [63024400; 98466548]; [47370183; 42314244]; [13844797; 54788239]; [52888410; 76295544]; [2644156; 59333633]; [36988782; 80070924]; [96206451; 22778175]; [91144661; 37255625]; [64236472; 54584169]; [41246063; 31279384]; [61160106; 50063618]; [65598012; 79002338]; [19106098; 30718187]; [20899675; 62967762]; [54774614; 44491589]; [51460197; 86946232]; [56635432; 2641580]; [72245338; 78907952]; [32626147; 194202]; [88655474; 23661460]; [36018712; 95409043]; [75735076; 51942171]; [38642495; 38080592]; [47786935; 25896427]; [99859420; 71802628]; [57042408; 15695003]; [83808586; 41431763]; [61932415; 73007809]; [35153701; 27010183]; [13517996; 43580561]; [61806448; 29541584]; [31422115; 51003229]; [72082723; 73473182]; [48910867; 87526538]; [19080001; 65760513]; [18264894; 32449116]; [91629117; 96277883]; [51234973; 53865736]; [57020520; 12152371]; [44657589; 76112467]; [466462; 36246832]; [90967249; 98904804]; [42113121; 11879531]; [52647343; 93820307]; [19188419; 76791928]; [61652668; 28764848]; [58750519; 68141072]; [5454303; 49941151]; [77678619; 37150656]; [75241317; 65569488]; [47531671; 14608683]; [96175892; 83103647]; [76036704; 82794955]; [87894798; 55941577]; [86408198; 16475078]; [45105424; 82123311]; [30785002; 58856274]; [66718736; 78112522]; [6346190; 59500109]; [52752505; 6116841]; [23179308; 4328079]; [67080324; 15728636]; [83283536; 62082325]; [67694477; 83287378]; [32859129; 63866269]; [922016; 24488761]; [28936360; 15737832]; [51786566; 5743081]; [76951056; 38411345]; [59896540; 13104473]; [45835466; 46290942]; [26340449; 79797137]; [18445403; 26850408]; [96598975; 17327627]; [9225776; 55795968]; [50589049; 66804965]; [50819485; 9458562]; [13056679; 36073922]; [23073520; 9454504]; [58875641; 98728723]; [50655438; 69465766]; [81034869; 37710075]; [7370493; 74036967]; [71844079; 22454886]; [92601118; 29686927]; [70348283; 92735373]; [33056489; 83090362]; [21502933; 44708360]; [28355627; 41968702]; [97475721; 68885314]; [99391840; 66210790]; [58076753; 21209800]; [83724410; 19754366]; [71588658; 13800265]; [47251200; 85554105]; [39874610; 59499387]; [96507402; 31257601]; [64399783; 34371108]; [18441892; 42191812]; [5826467; 56937406]; [34513299; 8705071]; [18287981; 83047743]; [99894232; 71605815]; [55211899; 7173427]; [77312631; 43933560]; [56425328; 69501942]; [94907185; 98098642]; [82893482; 21795809]; [6578527; 18126009]; [50675419; 57174598]; [48524550; 43125563]; [84130400; 46959903]; [70464624; 79888797]; [13897069; 63389682]; [11025746; 84339441]; [79514073; 82186023]; [41769347; 62973191]; [8854628; 57459762]; [94906622; 32778198]; [13377083; 64423110]; [56072540; 5179899]; [40154196; 99786051]; [13946563; 8826809]; [17278605; 77417635]; [63586673; 66421600]; [83799741; 20359436]; [68678873; 60861198]; [73870362; 4673608]; [95846000; 62037400]; [22436893; 14270871]; [60320759; 50328669]; [19620138; 98593494]; [81721809; 73973385]; [95818186; 79683845]; [58724287; 89585322]; [10308754; 50478502]; [63893360; 74804171]; [37010545; 74015922]; [25694515; 32806615]; [54862376; 61046221]; [44873759; 90281615]; [10364217; 26979266]; [61674570; 67159661]; [5746505; 48207427]; [65665301; 35582920]; [27863506; 12431767]; [71907938; 64485038]; [62850868; 97110534]; [18602042; 45649317]; [40558615; 3117306]; [73103663; 94777946]; [64003355; 25570960]; [76714765; 80194170]; [17550606; 33174896]; [61232547; 43484739]; [36939274; 86984666]; [63172607; 33679676]; [70248267; 24687092]; [65503735; 13668394]; [40775052; 95852575]; [90436805; 83082150]; [51465343; 96681495]; [23733095; 83793843]; [48523702; 32607761]; [25555192; 27472996]; [72521123; 37172262]; [49430162; 9895831]; [7979411; 86615573]; [30196189; 70126190]; [91728978; 48298078]; [71995084; 10385637]; [98173116; 82207060]; [48392602; 25394898]; [33314733; 67219580]; [91601648; 78934492]; [12809598; 66236135]; [33925520; 44047330]; [99517708; 23418731]; [94449337; 31631934]; [92214919; 3316359]; [86882713; 5401597]; [50228584; 57517656]; [22350362; 20527536]; [78354242; 51418231]; [45831252; 32660527]; [31765661; 8040753]; [20958943; 23316402]; [54503473; 37617009]; [70178699; 94310260]; [48003460; 93348331]; [96433575; 65152718]; [51088750; 68871563]; [56621673; 35018309]; [59822939; 48092584]; [27539825; 92861667]; [84446422; 82414743]; [53427412; 43909885]; [75418197; 15015651]; [20285070; 26063445]; [54868737; 37854138]; [34026545; 52377567]; [82976783; 58494503]; [21185607; 98495691]; [69620926; 26677472]; [33292797; 73912211]; [50090610; 66878474]; [20963346; 34367837]; [46420102; 94329746]; [57134147; 67931785]; [28728367; 89842300]; [60373265; 7705003]; [68672058; 91720553]; [62472242; 13127037]; [32474946; 32215297]; [45842050; 71100442]; [98907440; 57778365]; [49092230; 15996821]; [582575; 80222477]; [78152103; 69577706]; [65433786; 35680424]; [98253112; 53398429]; [79117968; 1527716]; [21410986; 6125492]; [81074438; 82693341]; [10078151; 78469719]; [66156188; 43432566]; [78448092; 61038017]; [54290131; 77968945]; [58455312; 59703631]; [47748355; 21124023]; [45726424; 3989480]; [20115408; 52056379]; [59038632; 5971513]; [52812324; 97554794]; [82118369; 92239275]; [19902952; 69142183]; [61468027; 94207900]; [31146404; 92145989]; [39688305; 27916694]; [70017304; 98000118]; [14880472; 29926244]; [92497199; 46262967]; [81730951; 16603231]; [81397637; 9705284]; [71933439; 26094551]; [49462752; 32474631]; [61562283; 20691976]; [86767219; 16665914]; [44040483; 77609870]; [78254543; 98804418]; [78558418; 61089269]; [24884532; 33211691]; [84263678; 97461721]; [5103962; 15334218]; [89272160; 40629556]; [11113044; 89874931]; [4474480; 42844034]; [35415887; 84174247]; [69703330; 31927256]; [87152016; 51658317]; [98520747; 35330209]; [27065389; 32212037]; [73611806; 24168135]; [29481618; 22545166]; [48906862; 40694209]; [10658089; 91374796]; [48263203; 29825331]; [37755451; 41184662]; [88927843; 61168306]; [73283219; 99561606]; [76432344; 69469356]; [42656183; 54208416]; [2410930; 81688864]; [21779752; 16056677]; [96565022; 8350776]; [36493870; 23792825]; [77870320; 48807711]; [21933070; 78878558]; [76663065; 61402859]; [16733981; 16170097]; [62392977; 69368657]; [56250006; 68960127]; [69953118; 92467722]; [22906831; 87327177]; [2086224; 74222317]; [74229278; 47505518]; [28529167; 50812135]; [28852556; 85258435]; [55693407; 70765494]; [21905363; 9643813]; [88152815; 2885552]; [43390421; 71808934]; [66036789; 5718464]; [88856368; 22235861]; [24544348; 74671657]; [72184200; 6724112]; [83747255; 43474929]; [41825496; 21111218]; [7516850; 48469190]; [95967224; 2689659]; [32922028; 90688387]; [60222390; 96813081]; [70368344; 83303418]; [58638942; 15221791]; [92952926; 11988466]; [36310901; 72019983]; [59701068; 32092970]; [91867806; 65868535]; [35295672; 44527609]; [67341430; 59170834]; [73952731; 23639819]; [59755250; 78882866]; [65634305; 21826972]; [49586918; 31561340]; [510695; 16469626]; [49108471; 20366926]; [19390341; 8436096]; [90341523; 58337611]; [61025880; 3772152]; [19174813; 96267087]; [6446535; 97349845]; [95678446; 82948304]; [61269820; 56969609]; [38351686; 18447311]; [59774620; 80061867]; [69259812; 93954685]; [32643375; 45193384]; [83793396; 34293129]; [53674883; 83492649]; [80043264; 70874938]; [22000206; 65327030]; [4919315; 44698554]; [28025771; 24195357]; [90834904; 28683914]; [1696443; 85093934]; [27374709; 49709456]; [92856831; 5950141]; [58648855; 83100639]; [37789199; 96176334]; [47688913; 21553604]; [47510781; 19126449]; [78579156; 58417822]; [33331374; 72403993]; [22339231; 23620555]; [32341878; 36191176]; [68962902; 81278751]; [55360793; 28793121]; [34978832; 85807620]; [47362334; 93937633]; [97799526; 67759886]; [33550607; 5656408]; [25301918; 4296401]; [64701419; 76971376]; [22431760; 34408114]; [27356781; 45080548]; [11617130; 8505876]; [10266029; 9679752]; [58592675; 84067596]; [4644146; 32604784]; [64374852; 13267484]; [68185237; 87004171]; [45552542; 71765307]; [5282682; 74856178]; [71887765; 26300406]; [75579369; 23061815]; [92153721; 11950403]; [37613397; 50624525]; [98533424; 91343226]; [27907015; 79246467]; [70333395; 80112722]; [80871447; 86988870]; [84841595; 2691496]; [73948709; 63385983]; [94238879; 39237025]; [68753439; 32601752]; [71201453; 51084174]; [47206481; 59286424]; [70441603; 67584757]; [23513457; 32606083]; [25450858; 79605837]; [28346811; 61890784]; [82254421; 17284474]; [6805836; 58979065]; [33372164; 17669467]; [49387184; 39886732]; [84790798; 13517075]; [42379631; 61602021]; [72142530; 84128262]; [90495058; 86391448]; [54528835; 63849102]; [10882120; 4239021]; [38251886; 891868]; [58644355; 36479239]; [61489900; 67512024]; [44735259; 50476799]; [93942601; 71699005]; [96811854; 25703983]; [53798246; 40281337]; [69248890; 81164408]; [39807238; 27581430]; [57172033; 31083630]; [59554318; 23533815]; [71463243; 50641724]; [4757797; 25897316]; [88010539; 74734313]; [89729194; 17890062]; [65759126; 51836581]; [86337333; 11165638]; [79196057; 99673112]; [55527298; 24339057]; [27774516; 23142465]; [30714648; 3375508]; [25484219; 28043975]; [82624398; 86043890]; [656357; 23581743]; [78272943; 38212073]; [3836127; 35613566]; [63962095; 96589842]; [89793973; 52198170]; [44737155; 87686036]; [17201201; 91880301]; [42307913; 29447982]; [93157403; 44115280]; [15967969; 53997489]; [53683846; 54683745]; [43200215; 42048072]; [99755613; 76790777]; [46182369; 10149166]; [71085534; 75557113]; [53715854; 18396593]; [94032739; 20942691]; [86307044; 17124250]; [20478608; 85463289]; [49899522; 36719028]; [66519586; 15718455]; [44845094; 52983895]; [11789810; 73819425]; [51551119; 54537561]; [93735027; 4806320]; [60700412; 97079198]; [64259731; 56936243]; [71774569; 51636533]; [5080968; 46882738]; [37633644; 75721124]; [52266650; 89567076]; [64932847; 25031318]; [76957902; 29872872]; [48549122; 2876805]; [25899632; 81716982]; [4358514; 64248378]; [17117576; 95637527]; [24165452; 31455063]; [79617389; 86639907]; [30589866; 51673588]; [65999934; 78042366]; [29570019; 29709433]; [85037440; 51043608]; [4024483; 27004365]; [62467067; 28226672]; [93420469; 11315795]; [8606930; 17210763]; [76105230; 62693109]; [52207692; 59729809]; [92761300; 39229892]; [44169081; 86867525]; [32836025; 28305067]; [56727402; 6037777]; [66450090; 36699029]; [99852228; 11409554]; [82133263; 62166149]; [60297405; 21179585]; [79022273; 8990087]; [56980833; 49211227]; [4677717; 50098438]; [46670890; 47515069]; [79684553; 21551362]; [54341347; 23360818]; [96209168; 66309004]; [17673577; 73630635]; [47614451; 50843349]; [75691088; 24325412]; [67675806; 75953952]; [31450072; 16627733]; [46695818; 12999995]; [41523164; 89830767]; [70278230; 20343538]; [93499667; 88436020]; [76535413; 67213408]; [80080065; 11770094]; [94631996; 82441173]; [76803432; 58527509]; [1089137; 25021280]; [60144475; 18043907]; [56586626; 29348367]; [49386282; 10319956]; [68536691; 10160476]; [89569512; 35489027]; [86496815; 95198385]; [71664906; 89827573]; [59740680; 57769482]; [42216384; 70569311]; [61312857; 73717783]; [19221574; 67068185]; [9576237; 78793534]; [77835566; 72623381]; [32946121; 18327395]; [26126249; 83992662]; [40946781; 23056437]; [35560526; 57018020]; [59346860; 35114670]; [56022085; 54683947]; [46575566; 18433096]; [52778675; 16250826]; [92897416; 19932987]; [90481495; 19216029]; [75938782; 52083098]; [21326170; 24019724]; [81176398; 6716135]; [65696007; 70780923]; [20917044; 55567829]; [922819; 76008910]; [33434353; 61205081]; [25855497; 8769756]; [21478457; 10942379]; [35059564; 60285422]; [58352994; 13573208]; [1242190; 1907847]; [74347544; 61926611]; [57714069; 99178903]; [6921376; 2368657]; [71341487; 66512354]; [48415740; 95063766]; [436043; 37452923]; [13274676; 89671477]; [80591134; 83633268]; [20906443; 35430834]; [6737911; 20235826]; [92931618; 53316248]; [65691613; 92406645]; [28421355; 98252840]; [84778677; 80832471]; [54537320; 68826423]; [8504184; 44528699]; [12641510; 25763464]; [11288589; 9146629]; [14729019; 48688915]; [68751191; 86194097]; [46372685; 62734228]; [80602889; 64970671]; [73586356; 43720098]; [84622801; 64095979]; [62783882; 30599064]; [90612872; 62735830]; [17807754; 86080458]; [56552011; 98759619]; [32940168; 74928773]; [52561294; 46867119]; [70339671; 35362767]; [14690660; 31144615]; [74516158; 496993]; [60714332; 81150755]; [79949731; 33336798]; [97446794; 59737572]; [15314673; 86263166]; [44967876; 21849624]; [64083666; 24983168]; [43254257; 25280401]; [86036423; 39273420]; [75242943; 26742245]; [38299428; 96412496]; [439852; 58709301]; [96984734; 22866783]; [63781231; 16272877]; [23410054; 61032570]; [71683071; 56736215]; [1972258; 5262155]; [39258762; 18505458]; [55107862; 4931182]; [17463604; 83275958]; [13197021; 29079883]; [20454686; 42464217]; [660210; 58785064]; [52807451; 13545699]; [66526305; 92033202]; [67839687; 61047417]; [95118222; 35772028]; [26470163; 99645957]; [91389728; 82764292]; [5791878; 91791688]; [23303965; 11759655]; [3842914; 79937534]; [56575926; 72487689]; [14895161; 84756096]; [11077050; 31982284]; [50997443; 12610448]; [47097748; 73403985]; [26741901; 10625074]; [77032535; 10421683]; [33849791; 33959403]; [10759359; 6130816]; [74858286; 16640801]; [21958677; 4747458]; [57337088; 15729757]; [74125305; 6706736]; [46331588; 9164268]; [40862852; 98852435]; [33188295; 52507845]; [75336171; 47958969]; [83312210; 4856228]; [88634526; 9610072]; [52288637; 14347723]; [39114787; 10475207]; [31265391; 5071542]; [60945258; 10683173]; [41807369; 40494223]; [97340564; 7209162]; [2453642; 47040267]; [64550249; 11035684]; [98222094; 11813943]; [22038390; 62265644]; [7111621; 21238626]; [25418519; 96500253]; [47859149; 57482948]; [472636; 34730627]; [56163251; 95118984]; [12912646; 95969705]; [33957510; 48801615]; [39720268; 36667830]; [10388684; 28837371]; [26456753; 81870846]; [94688447; 89865962]; [88734335; 53574766]; [90469559; 6942000]; [807854; 25142409]; [46760404; 11218264]; [54366088; 25783994]; [9829789; 92864915]; [96418632; 54972449]; [65731708; 19068512]; [6633440; 93800502]; [85754058; 30845264]; [28895530; 78893338]; [83746123; 47016227]; [74240848; 22733073]; [33701434; 62418465]; [31289488; 53677111]; [92828928; 30024782]; [99160462; 36891680]; [82295371; 84720009]; [71042124; 93192679]; [77768739; 821050]; [93560235; 89241967]; [60184315; 90729513]; [29285076; 69603803]; [33793184; 73607409]; [40280411; 22421686]; [28211452; 57135640]; [62131670; 39346736]; [38445740; 13657017]; [65167293; 80499724]; [42638415; 3812598]; [64604534; 63825740]; [42326821; 73076474]; [1122162; 75464231]; [4736558; 95432804]; [10595847; 65698060]; [10190835; 10165138]; [13500185; 26959851]; [69256515; 27111274]; [5421866; 8882871]; [84974569; 52454319]; [37075303; 15067830]; [31372448; 63899588]; [10465201; 93335286]; [92457502; 58689270]; [79643005; 40219918]; [95790210; 7853376]; [46131200; 31465223]; [96237660; 27244205]; [59206162; 40002369]; [74799312; 88596715]; [70926728; 12034097]; [21036173; 81131277]; [95226109; 28900102]; [55556175; 38930944]; [29671924; 48050755]; [88396441; 13075797]; [15002400; 85630857]; [51955510; 82643371]; [80462795; 1957240]; [46619910; 92439849]; [99096394; 80486656]; [5485133; 68997527]; [24216348; 53371743]; [94971884; 3032355]; [66661438; 12554252]; [79968655; 94923199]; [90546005; 26415236]; [21117028; 82062323]; [98002096; 73459299]; [10784571; 81344282]; [62512817; 86890652]; [58955295; 12841921]; [61487783; 5693105]; [76167803; 97036222]; [37604920; 73580237]; [3012348; 11086947]; [34196663; 50235915]; [38282254; 76009438]; [18351122; 94593652]; [46943821; 42000394]; [90295639; 72040848]; [86706366; 805939]; [96352804; 42787317]; [33103289; 44010058]; [35403336; 34432760]; [80667062; 66015054]; [95349166; 63517741]; [70081769; 43424524]; [80094032; 3454427]; [96197693; 66754732]; [80449041; 45402347]; [80855298; 53683128]; [7472154; 73282915]; [40455937; 69489136]; [38330667; 85962881]; [41275721; 3738925]; [89507623; 52391454]; [697411; 48322134]; [96748039; 51170546]; [43109781; 39435575]; [9733153; 69196341]; [20118470; 60038847]; [94759082; 6708719]; [81186834; 88820849]; [48348019; 50835553]; [75152475; 59469504]; [48956054; 61002485]; [1756098; 43640196]; [22318371; 55274526]; [36722526; 41924864]; [77116334; 41718619]; [46530187; 51145601]; [21244200; 58615430]; [18733776; 87328822]; [70766705; 30987812]; [21570760; 27347874]; [39759241; 23426870]; [66255976; 13962226]; [35542541; 6335854]; [64632505; 61587177]; [60239890; 22849398]; [3758542; 60289167]; [14487442; 36675079]; [58570390; 51573608]; [39245164; 39655023]; [92913076; 5613007]; [99948506; 90746138]; [9559572; 9039952]; [86915944; 80571622]; [70756603; 31871067]; [5043673; 60973251]; [19959879; 18896055]; [49889461; 41265127]; [21831921; 88481243]; [92431700; 32568401]; [85481647; 65292087]; [41215410; 61843723]; [11548225; 696669]; [51976406; 44480317]; [81263902; 11546140]; [13537806; 34592689]; [59000941; 6510627]; [21092210; 55321151]; [69419357; 99539194]; [67186483; 89049113]; [78257802; 15469945]; [50729981; 52528913]; [81534264; 92731489]; [68080154; 81247004]; [64901834; 78093257]; [55818945; 43124747]; [91844079; 29900252]; [46095398; 55611763]; [88797939; 40051339]; [90635892; 20551273]; [12941072; 35267062]; [71255423; 42684910]; [92414759; 17120811]; [24471322; 91271018]; [37320108; 27721429]; [2090109; 42499641]; [61566573; 51153771]; [38447384; 59696116]; [95148795; 36355020]; [50737253; 41359694]; [58774516; 69749313]; [81669969; 64452941]; [58900348; 48000000]; [46504975; 61757391]; [34284604; 98980641]; [45257471; 45429917]; [20548650; 8427753]; [40673359; 6352206]; [33576711; 42588752]; [15116813; 72481142]; [82982242; 89710273]; [30092890; 1834121]; [84528138; 63736066]; [92435715; 81599593]; [84546246; 26788523]; [16409091; 77944924]; [46941771; 70160090]; [40655249; 52086898]; [35856255; 76790094]; [838127; 44344579]; [67622396; 43462196]; [42854921; 45591269]; [48281040; 75050270]; [4191538; 62523983]; [476315; 39736619]; [79974200; 29151391]; [90075523; 23292336]; [52650513; 18597107]; [24712665; 10406587]; [45098194; 46961667]; [47289069; 19346733]; [87845745; 21823521]; [79177260; 72909967]; [13900555; 24114345]; [8688842; 41607471]; [31678131; 64097181]; [62568043; 8109863]; [16866361; 45910643]; [51498308; 22193167]; [1101098; 37499456]; [83791084; 74807764]; [62019093; 69914099]; [49500602; 39298527]; [30494282; 91709413]; [43033339; 94701716]; [9553372; 26087196]; [69174166; 39692962]; [53917374; 71177027]; [56100566; 16347600]; [59194243; 63199323]; [89010593; 16346592]; [92714624; 1168940]; [22026029; 63894198]; [27478627; 53924338]; [47604434; 1549116]; [10010817; 77941812]; [41667570; 24950615]; [97364362; 27797942]; [39702206; 13888931]; [34101783; 41868558]; [62862500; 14792636]; [30627966; 24373887]; [89327640; 50784820]; [6915806; 97760688]; [91307184; 42968288]; [43666611; 49651237]; [6515315; 80517130]; [9568457; 89106412]; [29736568; 69036760]; [66393391; 86188247]; [47029258; 71410155]; [56657409; 70919290]; [20433132; 85917909]; [34049007; 95213985]; [88863079; 8749586]; [42663046; 92826737]; [73556946; 21968085]; [97645247; 78733318]; [16877617; 37266745]; [48055729; 38943645]; [12186090; 61833279]; [51943345; 21954730]; [86709197; 90321372]; [61939479; 80429599]; [16861244; 10466264]; [37371381; 52668955]; [97077176; 27683519]; [30998923; 93280000]; [45753698; 83236167]; [99884910; 74421943]; [48133006; 37484167]; [50206171; 84669811]; [37909618; 96804933]; [22518309; 32804949]; [77612842; 76382158]; [2134787; 44157316]; [29736586; 36390394]; [91146417; 33451881]; [24992334; 6201105]; [70208459; 2753682]; [89108831; 48354331]; [62848647; 73953877]; [1905749; 91843294]; [83962375; 58533711]; [36103964; 28640505]; [79671725; 90964547]; [99454582; 12381481]; [34612683; 40506204]; [41111312; 55958908]; [3269577; 14937269]; [2358829; 78855263]; [49430622; 28026330]; [96087860; 43037925]; [85113521; 8220474]; [53254102; 63846637]; [33890082; 70388477]; [77291941; 61303484]; [83775940; 18060773]; [19009954; 87887280]; [47778725; 6776656]; [45730879; 26738884]; [97022255; 88107562]; [55058810; 66314341]; [74929436; 22371657]; [88828387; 60052735]; [43079197; 85362650]; [5266346; 48935493]; [20565684; 65451196]; [83332091; 69403426]; [6968028; 35430733]; [60168232; 48507879]; [47921227; 85950881]; [93058999; 3613708]; [89272486; 75016195]; [35065226; 23979452]; [91917095; 44672525]; [37659107; 71022562]; [75835616; 56534960]; [85781777; 27102705]; [96722544; 57376032]; [45336072; 95399313]; [97170063; 57576964]; [79800698; 85006779]; [86533111; 51877583]; [34213440; 55181855]; [77147897; 95262044]; [93911168; 41341790]; [17589446; 39410230]; [28174611; 61398508]; [3309017; 90363846]; [50557592; 39376299]; [23527386; 95109771]; [62237368; 85095210]; [4808106; 91977247]; [28196328; 80332026]; [70793893; 70182226]; [41556576; 43943490]; [65658060; 62569632]; [61034596; 55329080]; [22116219; 29270525]; [65493864; 3064563]; [89839715; 10438512]; [8046739; 67984462]; [65083083; 97432914]; [46678121; 19507431]; [73645838; 56229729]; [13267200; 43673189]; [15017456; 90206551]; [51656080; 55218362]; [57411213; 68403039]; [40762611; 21932978]; [68630280; 70118598]; [18351846; 43614435]; [11355848; 42885564]; [59772996; 17520754]; [36678226; 85484283]; [93227080; 43902262]; [89591463; 35873957]; [62646089; 72890005]; [15054980; 9379182]; [31564308; 21460950]; [58589299; 25530083]; [72372189; 12243090]; [5499230; 48259828]; [68019812; 95249104]; [5604276; 94611182]; [84541229; 24047840]; [20409288; 41506424]; [8260627; 63147873]; [77174274; 89050132]; [68526562; 43154365]; [7448117; 17219733]; [34544235; 19786629]; [29469773; 32852558]; [95398591; 20515010]; [3680456; 78658578]; [28530274; 12394836]; [63540388; 16031927]; [47933411; 19425806]; [48121906; 22328926]; [76023617; 23154662]; [68396802; 22083719]; [68760127; 38345304]; [88468896; 94309557]; [68012539; 11634842]; [21191106; 42028666]; [30583710; 69118196]; [90431537; 71299942]; [76096364; 80565791]; [48537704; 76143838]; [82149143; 25799884]; [18041670; 74368199]; [51391442; 16745931]; [66378462; 72854304]; [32855135; 36213293]; [38970769; 74976126]; [74625206; 13310471]; [69587586; 67403177]; [37503764; 77143888]; [52525050; 86309549]; [65364389; 20915047]; [39567616; 45413775]; [76544896; 16713949]; [61911980; 20217052]; [35799641; 4589354]; [17796079; 42768073]; [20576279; 22823157]; [15690005; 84164567]; [76743632; 8273687]; [15074419; 48844285]; [81949406; 43172323]; [27919205; 36428008]; [8263880; 52781762]; [61563021; 74677422]; [77280552; 58594351]; [39125088; 48033242]; [80434865; 25591961]; [17240125; 64433586]; [7181935; 53969472]; [26236165; 62039301]; [26130960; 35162973]; [98555695; 99181838]; [81167768; 18236417]; [92449811; 99201401]; [67016259; 85456819]; [29560698; 49810396]; [4869035; 12845414]; [11432184; 90004145]; [71287880; 56700292]; [39791826; 16841886]; [99127654; 39147240]; [68243955; 43663781]; [32219228; 5754621]; [84981860; 36812598]; [42823896; 54175601]; [99069740; 8482038]; [81383810; 90430642]; [42688459; 67730603]; [37354043; 89104474]; [15237160; 33683803]; [79054430; 42162711]; [59286956; 96971944]; [66025656; 48854153]; [12098792; 64336395]; [6522031; 33403382]; [25955574; 11138046]; [71777449; 15594410]; [90574577; 16792061]; [43400076; 21513963]; [6558207; 95215729]; [75756886; 12633602]; [50072206; 47372871]; [35209806; 32259301]; [32151884; 9501595]; [50970160; 71213118]; [20636796; 15579265]; [2243784; 75089848]; [97878841; 21557783]; [50323775; 50983347]; [8135856; 81572327]; [8407877; 70236247]; [18676232; 29512811]; [93078664; 52562359]; [38038994; 7106781]; [27735660; 16779268]; [13088921; 78160612]; [80707958; 28733218]; [84044341; 49309432]; [76677401; 23841180]; [52377104; 41346296]; [20859204; 5249267]; [39269288; 72225015]; [55678636; 54976757]; [44918921; 21269614]; [38999789; 42458342]; [51789609; 27643018]; [26345751; 93639712]; [22806872; 95938088]; [41579712; 44618040]; [86184239; 38711969]; [774651; 96909411]; [83529989; 45715832]; [45978448; 17158632]; [68257649; 26919996]; [37715302; 86117178]; [80637455; 10062044]; [89892342; 44233630]; [50885429; 50441754]; [53335119; 18351791]; [59770970; 19340766]; [54902007; 86032855]; [93647760; 20981601]; [25313167; 78397023]; [55890168; 33332612]; [69912499; 99313076]; [36112317; 20789419]; [42283977; 21334331]; [91677517; 29887992]; [94954950; 64729378]; [27804287; 85224474]; [21118099; 82829822]; [22403185; 64939404]; [40924685; 18396254]; [98799801; 93873205]; [17848107; 65320854]; [71478506; 27753894]; [25636364; 43422113]; [48741927; 15076331]; [39806609; 12569254]; [95398332; 35009562]; [1370539; 73355633]; [26473556; 10628881]; [18919136; 53577832]; [38096568; 3792967]; [83658475; 68571358]; [82399744; 38296441]; [76613742; 63030386]; [87706356; 67023359]; [63264793; 92522992]; [61182579; 68531079]; [5469445; 79664353]; [73429287; 28067221]; [20692371; 76324712]; [88521961; 92310932]; [58182110; 67462743]; [4492359; 81994927]; [54922728; 5529466]; [47312333; 53792604]; [63748328; 4608961]; [20367713; 45605879]; [44305141; 99818116]; [32582113; 59465418]; [94718028; 68482399]; [19583472; 57103397]; [59806302; 88753825]; [3624429; 2845541]; [89272449; 1799356]; [65939996; 66838993]; [683351; 56292613]; [32705604; 4229586]; [84186308; 55640828]; [61700930; 90173283]; [19904195; 21091574]; [69762745; 96543411]; [22122404; 18784324]; [77494810; 59030290]; [71054165; 62352098]; [28734385; 39672976]; [87313824; 40047449]; [84049237; 72442379]; [94058319; 5972800]; [9891446; 31023737]; [14999502; 501291]; [5733715; 73986190]; [8907191; 50852880]; [81272037; 98398627]; [70967579; 99571117]; [43450137; 54596974]; [89881318; 38249614]; [43465198; 81759839]; [79781048; 41929603]; [4109094; 89603846]; [52963027; 91513092]; [61747308; 33423109]; [98932921; 21608065]; [57664059; 49956739]; [91426985; 28453248]; [28433899; 13432158]; [3863123; 60043407]; [36152750; 79706880]; [51441303; 77558982]; [49697458; 55475713]; [86854386; 65114346]; [69331163; 41229258]; [86622931; 27958574]; [93225028; 82659210]; [330340; 95743640]; [49094559; 98672614]; [35335573; 77356600]; [32177167; 79746177]; [87686378; 2382457]; [94915085; 25067855]; [69008491; 38943169]; [86163856; 36359872]; [54066669; 65406518]; [31647290; 44337616]; [41437860; 57915229]; [96997147; 45278749]; [78403059; 12145978]; [28866688; 39824293]; [7915381; 74827770]; [2824674; 68876961]; [88457920; 90685122]; [91515882; 97474]; [81291660; 97197329]; [1970880; 46077336]; [45706986; 60511725]; [28259726; 13272846]; [51084290; 25278634]; [31158843; 56775946]; [47196307; 41169901]; [7609055; 84346961]; [71447178; 89811208]; [80649983; 42213205]; [1548042; 99204020]; [80038845; 765459]; [62510809; 95975490]; [2826055; 42151864]; [30178931; 73545313]; [70199365; 60996190]; [2331231; 91291332]; [12637916; 5878242]; [79406699; 98950970]; [95135802; 89972854]; [14663737; 14169809]; [17741225; 84620914]; [97856865; 72325232]; [7902631; 22644877]; [7906929; 73402924]; [79654177; 63705836]; [59628179; 81187204]; [39443181; 10042616]; [76421734; 52737187]; [88422160; 95598843]; [20522283; 24975489]; [25036309; 28797923]; [51887875; 14952915]; [61937370; 83545001]; [52326010; 52914083]; [54825197; 10028700]; [2680574; 12271121]; [44914835; 57945429]; [49971823; 41351302]; [67578171; 50385050]; [29310537; 43748361]; [68582007; 50092214]; [44680559; 77718669]; [80127990; 3683631]; [22452246; 34640656]; [79926365; 97852101]; [26280012; 71090189]; [82657520; 39142859]; [99579323; 66174934]; [30064203; 88121939]; [40651263; 83307388]; [58187511; 9995845]; [30839219; 32111286]; [79513630; 74751000]; [62787409; 64142198]; [51009826; 85799739]; [41621472; 6239311]; [65972434; 28153461]; [55798851; 80640110]; [89659394; 21976924]; [8954045; 46137134]; [77295796; 8420173]; [827161; 84906845]; [15496423; 41632582]; [23940924; 39853820]; [73150787; 65466780]; [77890699; 47523944]; [86170395; 65090190]; [72591393; 86889861]; [27032155; 24622776]; [91234205; 78065936]; [57374543; 15497198]; [15263807; 39634045]; [14351520; 1276975]; [44027130; 72202047]; [38402965; 10317616]; [98993619; 33445049]; [21011458; 74371055]; [75634352; 48687673]; [59626204; 51056199]; [91803562; 55203991]; [89028565; 37957952]; [62299637; 44699225]; [3591760; 74410136]; [75617807; 57563522]; [23860185; 43314327]; [97388263; 55144431]; [91395334; 56517498]; [71543680; 76456517]; [81205565; 89686916]; [25826744; 17785833]; [6181791; 82412212]; [19548244; 6227441]; [49324008; 99514474]; [95538461; 65753553]; [80545418; 54190673]; [67117887; 47064705]; [81524869; 21447345]; [68127963; 23957976]; [91039568; 70377063]; [98631781; 99760177]; [75983758; 54595566]; [80171647; 90291082]; [83304845; 38527948]; [34418261; 54676868]; [84325063; 44358445]; [23909898; 94255279]; [76617762; 43809975]; [49400507; 510695]; [74115480; 49234195]; [20039103; 69859031]; [39666180; 14998918]; [2568125; 52519178]; [31139873; 10864351]; [95925129; 59414451]; [80332253; 47005901]; [1653245; 20340601]; [8823969; 92760076]; [49531211; 91351866]; [57717992; 3912494]; [17831805; 56055023]; [6518200; 81461265]; [68175650; 86088684]; [35336037; 72168253]; [10888514; 34233729]; [62310538; 8821712]; [35592219; 85227260]; [20436263; 95111498]; [74201539; 27310452]; [69667547; 5797360]; [62895103; 72116440]; [84810160; 46257795]; [60286356; 42291357]; [23942382; 32718910]; [46218951; 31615957]; [79628207; 45005141]; [64794206; 76697503]; [19517706; 29652832]; [24533620; 31255821]; [1701379; 98586702]; [66217458; 35065537]; [34475705; 34273939]; [65631208; 43105320]; [73403938; 17579438]; [63734913; 34594351]; [20199699; 44242050]; [97641188; 84489375]; [9461137; 59131364]; [95770633; 45113236]; [33634478; 88979145]; [85501206; 53253869]; [23999141; 43936407]; [11072138; 77758278]; [39711698; 69044866]; [49102705; 34465388]; [85519377; 80849639]; [39324731; 91274207]; [66906667; 64472569]; [24247834; 504456]; [41348001; 1121155]; [18556337; 66924198]; [36363415; 19752732]; [9663022; 92031195]; [84047243; 18055178]; [39683495; 30094501]; [26199855; 81878789]; [41436833; 10383812]; [16852884; 84891888]; [6539232; 67889966]; [37087685; 3926685]; [22561494; 8949828]; [1855214; 10549389]; [97236868; 66888370]; [64892027; 10376835]; [92025061; 86909731]; [37032935; 82556158]; [7363169; 73344508]; [27753248; 68122781]; [38389328; 19168094]; [16134464; 89548822]; [80335365; 43346367]; [31600229; 38559938]; [83770637; 44675565]; [64271214; 45332591]; [6002384; 59436327]; [4878429; 43790180]; [79894200; 42535906]; [71340797; 64949949]; [9474376; 4791618]; [31126412; 44171963]; [82154913; 51436467]; [40910494; 14455289]; [23535680; 95750268]; [6601185; 1203840]; [9599631; 62185940]; [97444172; 9759487]; [16952002; 20848703]; [18880493; 104038]; [79282843; 44814953]; [58261286; 69193358]; [15651890; 38548960]; [21761410; 32542388]; [54567060; 26242360]; [90040122; 63119440]; [87446227; 57828460]; [28277758; 15976855]; [28897322; 68999814]; [25837405; 62859426]; [46873975; 32349969]; [58516130; 35940492]; [39979263; 89666242]; [43109559; 13747062]; [56189866; 54364640]; [12218555; 17474135]; [77300097; 31223910]; [34307800; 93424831]; [18642669; 42642655]; [68583504; 58942387]; [76212467; 46895217]; [18467537; 27045591]; [48830915; 91855921]; [3266942; 2624646]; [3882214; 26835195]; [60807172; 65172103]; [53216627; 89472863]; [34621876; 64304436]; [57635374; 41211472]; [52162460; 70663474]; [20437444; 95471568]; [81553953; 99902769]; [34085292; 81680746]; [97561260; 49921422]; [91535462; 21305423]; [22158423; 59432271]; [64738360; 67648601]; [94438336; 66006804]; [64670292; 85504535]; [9803629; 90627686]; [25234962; 69105668]; [32817254; 42711403]; [96931874; 21606754]; [16865068; 77023146]; [9618282; 80017778]; [64716328; 51435124]; [86668308; 7181572]; [56658775; 23686225]; [30570099; 63000359]; [71691775; 54865786]; [91494159; 57810684]; [10198275; 4995577]; [16282792; 67229584]; [84098537; 22972343]; [50096572; 93135142]; [54174188; 70441608]; [50100647; 70924835]; [32714361; 51605912]; [89390800; 95045840]; [87895375; 2924515]; [19027504; 94503933]; [63996794; 6899438]; [28868794; 76907658]; [54653951; 75055541]; [98220478; 73254129]; [44321477; 55315634]; [28994284; 56399378]; [4724585; 99024576]; [91014481; 7774151]; [44321784; 89712920]; [81042499; 99035252]; [48180079; 16396425]; [65170635; 74980510]; [72634491; 35741633]; [16402700; 61335817]; [68141510; 30904497]; [11261295; 50637038]; [39262125; 16735297]; [23065556; 47528768]; [32468497; 62115158]; [69256081; 45319225]; [69767475; 66333596]; [31395866; 668717]; [39172036; 47603913]; [21590613; 19995113]; [10976707; 52639219]; [32069631; 178766]; [43576735; 79772168]; [4224377; 28665782]; [2867054; 17339909]; [67429823; 24274598]; [70791952; 23152750]; [27002019; 96133694]; [63007699; 69055731]; [29710076; 38638644]; [94042; 30439987]; [75077321; 78966771]; [83683127; 83032239]; [94673946; 33321987]; [26280123; 72645282]; [51881394; 36496059]; [99108847; 96144661]; [60944008; 61214172]; [12170292; 53405024]; [41580649; 14301651]; [64334008; 94474830]; [42575613; 30222979]; [20078292; 90616619]; [77963874; 7684571]; [34708764; 2302770]; [63014028; 17676968]; [23969150; 20096029]; [7677572; 70821811]; [12465835; 3961081]; [33503262; 46252419]; [44896290; 91209094]; [40887920; 80208544]; [30214727; 50472277]; [42856998; 29960410]; [45599606; 71957876]; [25130307; 786683]; [33389586; 85537554]; [58721374; 7451571]; [78350914; 28606714]; [10757379; 65285445]; [11888337; 35099453]; [70490937; 94232662]; [14096948; 52507420]; [63026141; 76875940]; [26625360; 50591702]; [85317868; 36162925]; [95857839; 38625714]; [35857878; 67376271]; [71306391; 55377419]; [42162468; 19283668]; [75768478; 6468615]; [62303776; 75490731]; [46233148; 22939202]; [57141677; 44603788]; [972050; 64243974]; [26884242; 23473157]; [76609273; 91554064]; [695793; 79990834]; [19035342; 97726328]; [56724295; 10965998]; [11494251; 67460203]; [48713303; 39665433]; [30812870; 43305730]; [81614015; 91758219]; [42801613; 34181256]; [24480865; 81926409]; [30442602; 15565747]; [45547862; 10526631]; [84718077; 72097169]; [30750698; 93218103]; [25054631; 96951194]; [2668155; 89195175]; [29061882; 41352509]; [64250353; 86761345]; [91076796; 33248905]; [99690961; 36311820]; [50453391; 89346755]; [42580119; 20373684]; [5315656; 75987466]; [3600249; 44773118]; [5909699; 86308557]; [47048235; 9145013]; [49920810; 54275237]; [86582987; 74673048]; [37211855; 64089209]; [14698516; 10174986]; [24426996; 65900817]; [57272337; 14458926]; [55738135; 43069393]; [19691767; 69225580]; [70115040; 73502560]; [14577125; 90004202]; [49589826; 61411370]; [68696003; 28976458]; [14574371; 36427595]; [1301826; 89869995]; [55458838; 15299506]; [32875740; 83422431]; [69947882; 87211174]; [36699169; 98118090]; [91653031; 81092731]; [6070335; 35477357]; [13774631; 69174277]; [84977655; 34609707]; [86465478; 79548222]; [61594237; 11114161]; [240601; 98572796]; [33709815; 12068871]; [22892528; 2174562]; [13976388; 97887916]; [25148303; 57841742]; [99432779; 270726]; [91753835; 90011309]; [81400967; 82746958]; [28746700; 38542228]; [8199614; 54954616]; [66810876; 98527673]; [61450500; 36542284]; [97158136; 37108202]; [20506950; 96898131]; [95945519; 34784122]; [38729014; 61732377]; [7952736; 61278820]; [35154825; 13579227]; [90959867; 12726582]; [89224494; 8444498]; [64480210; 20724175]; [59637967; 60770171]; [80639891; 52221594]; [51068756; 45712205]; [4535232; 90098050]; [7422327; 37576906]; [12849981; 86428956]; [83450346; 74643040]; [34459776; 3976793]; [94443977; 61750188]; [55036630; 56357689]; [47902748; 11980770]; [38262948; 80409983]; [84992; 16845890]; [56555879; 1434442]; [92366869; 7237614]; [1082721; 64505597]; [28050955; 67400409]; [36146571; 76610054]; [54009061; 83960591]; [89598915; 87283573]; [688035; 39378365]; [59554343; 65719061]; [87515936; 13908706]; [6211913; 74013799]; [55002204; 84385266]; [64532066; 21954944]; [41745016; 37841998]; [39749693; 49282247]; [90988248; 11335335]; [33236468; 84191245]; [82723462; 60694373]; [72720223; 36024436]; [47252971; 90714374]; [40963176; 54827059]; [83284982; 95305160]; [66284623; 42089861]; [69541471; 25037437]; [92793842; 9984509]; [66843396; 16269977]; [10965451; 10509848]; [4302267; 90606451]; [65769607; 6171703]; [74001005; 22229182]; [38607686; 97177277]; [70649687; 61934914]; [36288573; 17025154]; [56128764; 25933855]; [7245959; 98491797]; [12958866; 51349328]; [89726730; 12521673]; [19736230; 75223098]; [51477546; 90461737]; [93361707; 49502104]; [24692251; 86614406]; [35722199; 71033574]; [68660288; 51008206]; [72828867; 76147263]; [69377850; 70061251]; [98144860; 37733132]; [11898230; 10435452]; [34976097; 5325461]; [57835063; 24532611]; [1226534; 39333794]; [38170640; 96110562]; [21313244; 53979463]; [24870453; 65850589]; [85218359; 45074106]; [74386871; 33892947]; [53836598; 34911856]; [8947687; 72204116]; [81695794; 75770190]; [32904884; 34178322]; [85559106; 79164207]; [93898803; 11196410]; [33567154; 3160358]; [60752588; 78466407]; [31348586; 45533939]; [54594340; 56803995]; [81432797; 70291426]; [44029240; 74531201]; [78536841; 29708124]; [57474303; 11006402]; [85749548; 89263943]; [54327531; 12582922]; [60007018; 20810483]; [24210951; 94630513]; [18998287; 24367972]; [92904949; 52510669]; [99635671; 90945398]; [95478215; 63603289]; [52189728; 58848917]; [19004937; 54371888]; [34608298; 85488921]; [73534416; 79035838]; [14955839; 77543799]; [77065320; 59445138]; [45071490; 7120571]; [63330582; 62850935]; [28406468; 33375207]; [41255200; 53610901]; [49977411; 92585646]; [34544270; 19634480]; [59142707; 63500489]; [8524602; 40503946]; [93896752; 54519140]; [45481190; 42039112]; [14899033; 1555558]; [90513915; 43846191]; [29642953; 57509894]; [86298773; 14591817]; [24360047; 99754835]; [15927431; 21683063]; [29195434; 46397024]; [35686130; 38326249]; [67450746; 27499301]; [1124279; 27545004]; [61139978; 16703609]; [80494214; 89576518]; [471312; 46857308]; [65198737; 62839635]; [93335766; 86777769]; [71196662; 89816025]; [63878695; 24581781]; [76388699; 98439867]; [63982863; 40757394]; [57280576; 57174852]; [75760224; 27101120]; [86056048; 4003988]; [76157424; 89110239]; [64940368; 90059464]; [66567514; 15709608]; [81166270; 5780338]; [44179671; 71613609]; [98315238; 4842749]; [66706836; 47725616]; [16847389; 70189385]; [63452563; 16779598]; [92360851; 42029318]; [27324559; 50824937]; [3803188; 92318012]; [42328204; 87605152]; [87409288; 11267980]; [81709292; 75843184]; [26967662; 3282316]; [45545550; 29759619]; [61030601; 44620058]; [61332083; 44880448]; [87205605; 26014369]; [94037800; 4319566]; [42622654; 33174175]; [59051968; 63362307]; [78646972; 36274595]; [64092743; 10082124]; [98120125; 23878567]; [30262143; 58141640]; [76137492; 91242604]; [12639228; 48174131]; [41438704; 11001321]; [85178615; 123356]; [42971407; 19898580]; [14963280; 90941565]; [86394325; 77662184]; [34427447; 53233642]; [33140207; 55647618]; [40002412; 18470584]; [47816381; 48783909]; [41429881; 7703097]; [53647273; 78137253]; [69993453; 19667166]; [58271353; 65070005]; [34252485; 70142043]; [53720294; 60313288]; [67002765; 38562646]; [23244527; 19212927]; [10168887; 94207993]; [47303101; 77401468]; [69920493; 74688717]; [46411438; 96707534]; [80016866; 65646094]; [88406367; 53421113]; [81884704; 73155535]; [64727301; 35150427]; [43795390; 16838377]; [55083244; 85433788]; [76839463; 57809861]; [78718397; 20527604]; [11556888; 28215486]; [74082475; 48975680]; [40109180; 76898121]; [8049878; 66102757]; [55417317; 80022910]; [6324665; 77637575]; [55000967; 88095189]; [17040361; 50069769]; [26613842; 545182]; [25717479; 65526027]; [9830992; 8979]; [95834762; 58405903]; [497608; 96563915]; [52842790; 95924334]; [18786801; 55965973]; [3628726; 63137527]; [47799345; 95728510]; [62496995; 38771485]; [14362103; 41972432]; [73782153; 15886554]; [30533234; 96203]; [97789452; 28612508]; [24298692; 16089062]; [12604892; 37457312]; [4511857; 42820966]; [11564838; 16600548]; [81994559; 33033366]; [7187680; 41183542]; [57959227; 21333174]; [20779863; 38739170]; [33920830; 10163231]; [52991859; 25843360]; [2860562; 68759962]; [72709009; 40019201]; [55499879; 35162720]; [94049779; 70574555]; [69504788; 81646305]; [10006511; 28863728]; [94943712; 32254673]; [97727944; 38194942]; [23237966; 79321747]; [72714873; 91515863]; [9818988; 27221345]; [55300879; 32477892]; [8370292; 30772205]; [16111522; 85000548]; [40143864; 84253700]; [24445654; 72840098]; [49866860; 46914979]; [94774462; 6364911]; [35996058; 24344418]; [99178189; 94457619]; [12845488; 24094234]; [70505301; 47216953]; [48019480; 82024043]; [2683236; 31343588]; [18470771; 43521241]; [54317635; 36443241]; [7529279; 79636044]; [16988286; 38105941]; [38388653; 94775667]; [78088516; 36129244]; [16498286; 63743188]; [92482562; 21608691]; [78270509; 79120428]; [54745125; 33527768]; [77937072; 16412502]; [98195036; 56228934]; [74692604; 56591972]; [382045; 9435181]; [76465293; 67858932]; [39855522; 80338971]; [69497457; 4958534]; [45763828; 7356192]; [16722132; 81955566]; [18687472; 21532546]; [13710161; 96424821]; [4965150; 91631874]; [2350648; 79713318]; [68730687; 72727459]; [75525305; 26183454]; [32033908; 84983768]; [76146275; 84355461]; [45051216; 58630962]; [87710357; 46715069]; [92560047; 42234980]; [29984091; 61170619]; [50911937; 73618922]; [62369784; 91628676]; [47707689; 51224493]; [56626345; 24085041]; [2229086; 41168892]; [9260608; 21412050]; [21641894; 44410075]; [5063073; 30006127]; [57246910; 79717920]; [21743520; 29895943]; [32377572; 94156459]; [51606973; 8875357]; [68955035; 16564235]; [68029357; 83657617]; [58066312; 23265852]; [82818842; 6885085]; [36510022; 61143684]; [1693033; 13489159]; [54153329; 29649842]; [84319739; 24835813]; [75532356; 67099070]; [67902610; 51230483]; [30426628; 24521084]; [53170412; 44370305]; [6893465; 67816877]; [58824801; 98408576]; [87871983; 86084433]; [29736024; 93119433]; [69332338; 34595144]; [30182289; 93535189]; [54726523; 39022212]; [1102260; 77932562]; [32841103; 32005003]; [72143948; 86597742]; [45398142; 1446984]; [89501662; 47662003]; [75326211; 68751604]; [72471713; 535807]; [81369353; 79260385]; [73946737; 55462601]; [97323603; 63861524]; [1920365; 41045313]; [71302970; 8553318]; [80139129; 98846431]; [26347823; 81676829]; [32906313; 75003554]; [55504424; 12702951]; [3756130; 20424087]; [63278970; 3097963]; [6847586; 44459991]; [77473280; 98117695]; [48920971; 849123]; [80706539; 11951255]; [14671478; 42710426]; [56305716; 2175634]; [42526711; 67071714]; [80025483; 90065052]; [89759363; 44349355]; [2729191; 74223514]; [43085317; 43730607]; [86502817; 21937649]; [84402257; 93406484]; [34448727; 29013688]; [69782108; 66002982]; [4985689; 1008064]; [90565884; 15014354]; [72024423; 47003496]; [89785491; 52964636]; [84627249; 82762990]; [44235810; 92400086]; [39506979; 13453548]; [73372514; 48638574]; [63651389; 81862401]; [35682455; 69139056]; [31234733; 93720243]; [90339306; 70664771]; [89552294; 42508418]; [42455342; 66131905]; [30707365; 25348209]; [63581317; 23780846]; [60676114; 91750607]; [32085421; 12781302]; [55732185; 7449600]; [29918810; 81211588]; [6009131; 63930083]; [2164737; 84582881]; [55930120; 15305757]; [64720360; 54248510]; [70494618; 41874376]; [25800078; 4884514]; [6422521; 30914762]; [48507889; 25432504]; [44374426; 36729529]; [56320869; 17179024]; [8841607; 25643024]; [46467281; 52026239]; [90407629; 88224617]; [62269925; 45325227]; [47364000; 13051154]; [29303843; 83211682]; [22521325; 23039461]; [82519797; 97090060]; [43480821; 9115014]; [82758966; 67192631]; [28759630; 64091358]; [20980865; 29286419]; [32114295; 62909913]; [89405423; 8176376]; [3330744; 74779736]; [4189079; 27279314]; [39026459; 63040462]; [49843180; 21082938]; [10749657; 18505384]; [16184476; 97740132]; [25892869; 79892518]; [28511300; 97974921]; [41587623; 62361591]; [8372268; 76256074]; [61201133; 37569670]; [7548662; 72600443]; [56980341; 22840551]; [53183844; 47710120]; [29857034; 42520065]; [16490192; 77570423]; [12799394; 42880261]; [20317918; 76688618]; [12419246; 87665436]; [9664817; 15662324]; [53768778; 14677803]; [30341631; 8904292]; [94292000; 56823529]; [70041109; 68426850]; [2002274; 1585799]; [73734983; 73698371]; [47039521; 16359885]; [55066573; 73948882]; [31465409; 27337178]; [26766896; 89554100]; [38324335; 52990359]; [34658639; 26264605]; [13556821; 74708353]; [96553789; 13211950]; [30663157; 94967165]; [91571023; 59894068]; [30047000; 3400554]; [40459667; 19040735]; [20564859; 53493564]; [24819267; 26292729]; [10277675; 91482311]; [6951096; 66787565]; [30970227; 18768334]; [17929332; 36782940]; [61843825; 67445810]; [44858491; 51592861]; [51779670; 80979834]; [19091435; 85340370]; [2902412; 6241544]; [13900760; 84868523]; [77725204; 7471031]; [76672037; 51942108]; [21582297; 20430554]; [28538193; 8973198]; [17440104; 57533887]; [1573103; 81249497]; [42570898; 63094025]; [73401731; 65054869]; [86024365; 30404695]; [72343435; 57173243]; [81234452; 3394398]; [94240363; 13679512]; [10352061; 61694572]; [66398487; 92796217]; [48097571; 21795819]; [32636857; 24160094]; [65076238; 92057384]; [75360910; 2103134]; [3334006; 5393599]; [7510189; 20423645]; [91179987; 36991040]; [72929654; 32177908]; [30044046; 93947995]; [76166411; 80213378]; [23349640; 55080409]; [80661570; 20380201]; [66221045; 7536885]; [28712272; 80051837]; [84772011; 91988558]; [74840250; 68048173]; [55835952; 22227682]; [86862807; 10060163]; [13518596; 9821347]; [80481055; 6635159]; [79366125; 93373927]; [26771035; 27149994]; [33335644; 709506]; [94076203; 93223775]; [11687776; 99078452]; [34111920; 95773949]; [53643494; 18204313]; [24833370; 3186110]; [85876296; 76999980]; [17251643; 87156655]; [71964777; 31552111]; [58331022; 8494242]; [84012190; 46581472]; [42512981; 20630351]; [25260647; 50167256]; [51009442; 25334679]; [49899356; 91181629]; [41657626; 3200530]; [10819879; 83728102]; [68436915; 40082891]; [36713631; 23244552]; [48634116; 38092931]; [74981545; 30592940]; [77861556; 64150327]; [42614501; 9627885]; [96104958; 8121541]; [14289761; 8768255]; [87910881; 96846187]; [28361650; 22885158]; [99890859; 70398900]; [73455223; 50393519]; [3690167; 64878157]; [64331973; 87788295]; [52976824; 96596466]; [26813750; 751848]; [43676088; 47328768]; [88067890; 96038873]; [9779387; 17135312]; [61385172; 47193452]; [11358901; 43756054]; [3340486; 45244984]; [19102351; 11076734]; [12330844; 40501723]; [94228891; 46472568]; [30143932; 827250]; [73784963; 79142368]; [92770540; 91937765]; [85205952; 89608150]; [84519050; 43386539]; [64917730; 72910794]; [8092537; 3538925]; [50434866; 5380673]; [88971210; 42126890]; [18681325; 751743]; [2765595; 2898964]; [8027308; 68222392]; [84202294; 10461705]; [55841575; 96238052]; [66610831; 97654069]; [85456093; 11088562]; [95346629; 28037010]; [31808872; 51639845]; [28221391; 20121857]; [60584902; 48606883]; [34648775; 51854302]; [87008273; 76669615]; [97847274; 70900089]; [41954096; 384926]; [10944892; 65587172]; [98707302; 42236568]; [12444424; 64519747]; [44633108; 64417950]; [40013941; 36585806]; [71875349; 50059843]; [48244610; 68536359]; [31479764; 52337172]; [75198542; 87544356]; [60743055; 76583818]; [74021073; 67259750]; [28563517; 11040745]; [27866476; 91888810]; [85672902; 77082313]; [37223321; 67315118]; [10702393; 69816291]; [21172642; 29967398]; [55241341; 91362846]; [62627917; 89647902]; [85345703; 40770735]; [20825348; 73606940]; [44503838; 29337690]; [71941504; 69687846]; [56576741; 3893048]; [41717963; 67547592]; [80320726; 9433910]; [8853050; 2776576]; [47541988; 69688845]; [710207; 39103719]; [52781128; 50180097]; [3799638; 87697866]; [18277940; 73888829]; [89597146; 97559595]; [14366795; 94590427]; [4981796; 78223510]; [66685332; 10982001]; [76321994; 782749]; [44413980; 89974166]; [57968891; 54079332]; [73929393; 85741283]; [63148821; 82282119]; [69169970; 363199]; [70671717; 36565675]; [57467215; 93290958]; [84862940; 19502230]; [28729252; 70347228]; [19432114; 58164646]; [85786483; 72951911]; [10816362; 53223924]; [66883291; 88300519]; [44562860; 24593523]; [38941001; 37226903]; [19454455; 84638960]; [2885486; 73872755]; [17115508; 33645411]; [6009152; 36511874]; [14998628; 85023581]; [77553058; 87587852]; [63350236; 69920683]; [8377185; 67891207]; [2714853; 36090433]; [45726562; 30770077]; [71108633; 76690480]; [89801114; 22600970]; [16841013; 48293737]; [1747471; 2155296]; [14018728; 54047987]; [23761003; 1023234]; [17382455; 13634688]; [58850114; 9076211]; [61309391; 90225361]; [4380246; 74329847]; [20383282; 4492897]; [27496759; 51477165]; [7531563; 60635537]; [69642926; 53978020]; [69081232; 20657607]; [99749368; 28960643]; [37576950; 7643476]; [39037931; 81629292]; [36273735; 56684972]; [777540; 41808699]; [49352219; 23278120]; [81749755; 87614815]; [48185343; 29736185]; [82695472; 12161168]; [11142147; 11578306]; [56814689; 83220353]; [83422178; 76153232]; [33507780; 30260177]; [87110162; 26927608]; [22026870; 61693422]; [13324360; 42089946]; [77703964; 57290741]; [20716226; 24301942]; [79226475; 66642259]; [78229977; 90436198]; [11725472; 42975346]; [5025217; 57865540]; [85712637; 88767887]; [18235111; 53709138]; [5686474; 6846117]; [83880002; 98472211]; [58358694; 65119086]; [66491; 39003401]; [98927693; 26432980]; [31185148; 35565042]; [85679539; 1175262]; [63025409; 70609194]; [10504030; 5624422]; [22654624; 15144520]; [78051814; 63275422]; [65675142; 34273421]; [22390086; 58105893]; [58991052; 44607245]; [9211588; 68476296]; [6211012; 6936269]; [8139885; 89182401]; [36710073; 994728]; [73447285; 78367612]; [19207508; 65768196]; [53756286; 44193857]; [79601350; 7428480]; [38873811; 34599737]; [69939778; 2548836]; [4073018; 67185855]; [64662374; 23937758]; [99453438; 43431001]; [58802751; 77129]; [14108155; 52216311]; [21752811; 67535430]; [64731132; 24115109]; [50752662; 18476160]; [88337466; 88247196]; [25146778; 62069451]; [15280374; 27788681]; [58784471; 55156486]; [25678139; 35467133]; [77947223; 96476633]; [66184873; 82558835]; [83160756; 9736560]; [32171480; 54793826]; [11761820; 85303157]; [33996901; 88867190]; [77725142; 33623466]; [30094206; 60524089]; [30356888; 72638732]; [67301951; 2882896]; [44047072; 47686280]; [24331420; 32476214]; [98908242; 13088295]; [55970805; 71325334]; [3777900; 34144853]; [43407415; 89356842]; [83750216; 89388093]; [96524884; 91942378]; [34283594; 82978133]; [6541846; 62094628]; [34690303; 5554432]; [15940952; 70216240]; [79904167; 10660154]; [36629454; 97006723]; [37875403; 31510927]; [13836451; 6952604]; [49286093; 94831457]; [15455231; 88981839]; [78577594; 18868579]; [67156229; 64644275]; [82220056; 23001056]; [11022533; 95814420]; [1971366; 65874685]; [46044894; 35332274]; [24078158; 21262738]; [12756817; 40285043]; [62559845; 54444085]; [60379986; 98731334]; [65005608; 28863083]; [53397334; 43535251]; [64096614; 55601683]; [29380418; 26263657]; [93710598; 49178703]; [34845311; 35944171]; [24329560; 65658599]; [38694869; 38957632]; [71147252; 81571119]; [39325432; 5268976]; [18387485; 70699518]; [43434092; 61263815]; [96533597; 61221528]; [11215345; 32888226]; [87036006; 92643153]; [94028943; 71164779]; [86985227; 84027875]; [1504807; 90414431]; [1819025; 4318944]; [37061347; 97301113]; [93568511; 26179315]; [87424512; 71262052]; [53195968; 30406896]; [7550145; 31852617]; [97976032; 92426670]; [12215057; 2690380]; [34352082; 89597019]; [75905280; 90113861]; [22017844; 61884563]; [92896475; 80299673]; [90399563; 81145705]; [96498594; 98175634]; [68818332; 47544320]; [48451224; 86337124]; [55318819; 2019012]; [1097111; 93961495]; [31563809; 73739029]; [68355173; 82686653]; [85853281; 7862597]; [36894888; 62445006]; [7591338; 481269]; [69784904; 93729824]; [88797656; 92143021]; [20661509; 53640110]; [85410445; 67609160]; [27670361; 56549725]; [85241220; 43337885]; [54443772; 53960624]; [5427235; 57793014]; [75239748; 67402658]; [34504611; 45158244]; [51728247; 50630439]; [73198898; 26790625]; [8577602; 11385651]; [25705615; 13639966]; [31639912; 85661706]; [14292040; 75821487]; [77751172; 92096516]; [95342389; 96066687]; [36962116; 40885861]; [95071359; 87971744]; [77585256; 96323287]; [4898115; 81868749]; [40166499; 53697014]; [71280219; 74032816]; [56243491; 18527153]; [26133083; 16093664]; [76546998; 18941623]; [56734660; 95965099]; [44113156; 16139220]; [24363770; 92483746]; [77122877; 41916270]; [72304705; 70711981]; [41989020; 22065031]; [85518073; 23626072]; [55951160; 74468626]; [3230957; 19047492]; [43268625; 26781202]; [19309526; 83598653]; [85009465; 96968603]; [37277085; 71174980]; [68580103; 9362577]; [39284534; 13573736]; [44681794; 41150555]; [73453660; 71789744]; [8524363; 80779486]; [47104239; 51660795]; [11957707; 98256473]; [57001644; 3149179]; [90271249; 21594669]; [84422151; 49631116]; [8114850; 57187878]; [96455764; 26346356]; [11203220; 97874931]; [9858964; 87208816]; [82465554; 37843540]; [55264436; 63591261]; [26615729; 50406902]; [73276384; 18069703]; [42624647; 19917659]; [9945241; 58298999]; [3931947; 1294781]; [92349344; 65511457]; [46439976; 86905729]; [49284447; 7275274]; [12036458; 91165430]; [54355223; 34193034]; [91381124; 13179268]; [96406715; 51469016]; [68376294; 56314296]; [30208800; 19569338]; [9326433; 6084567]; [73104553; 21405813]; [37092937; 61951880]; [25427394; 26007847]; [8454878; 29816270]; [63936820; 64737201]; [19468549; 29956718]; [61123577; 51433748]; [62384420; 87575344]; [49124388; 52044417]; [44579147; 73201039]; [34424509; 45828544]; [8439271; 73761166]; [32025762; 55050669]; [91008249; 86366270]; [32070333; 37163666]; [20208164; 63044142]; [70009784; 69341047]; [97200294; 37127777]; [57080063; 42888736]; [18898609; 25355188]; [94074338; 84957648]; [81014442; 74591513]; [78145938; 54128778]; [80302585; 89129985]; [66813241; 25394387]; [98056450; 78957779]; [82170543; 8812994]; [84174989; 47802223]; [15002003; 58043863]; [77409568; 90455251]; [24540598; 52539013]; [74696280; 5588254]; [81850271; 26429887]; [88102416; 49010526]; [1311736; 91978760]; [90970138; 36516784]; [20198201; 96563633]; [70248988; 87688949]; [23210738; 33653263]; [29076586; 55597511]; [85023945; 18871782]; [79634205; 26628879]; [25538629; 15088800]; [37328801; 24489959]; [30954652; 73061628]; [74697944; 81797993]; [78408138; 2697918]; [31523831; 90700328]; [76925289; 59973902]; [90812058; 67298767]; [19627510; 12454498]; [8338609; 87054380]; [10548615; 41650087]; [30192597; 94816564]; [57642036; 94663832]; [6599319; 19044681]; [37161081; 8694290]; [56295390; 41361731]; [3368672; 62430149]; [38180204; 74930179]; [59703141; 46300700]; [94019944; 33703496]; [68213750; 88363511]; [65252728; 50436037]; [29935563; 56346373]; [40487467; 69801430]; [43739698; 24930750]; [99929708; 23419036]; [86655318; 28838374]; [34022423; 27274173]; [40475864; 68394827]; [63281976; 78208264]; [57509441; 73772240]; [37633816; 92474880]; [62179972; 55832217]; [62148383; 85058149]; [53569698; 32882762]; [40974245; 66801134]; [13368072; 52678936]; [49468830; 5785961]; [64072919; 37057463]; [46075598; 27668500]; [12099095; 32186688]; [53726933; 43057180]; [75501824; 93519200]; [64101435; 7429512]; [45968982; 20328858]; [47150412; 8670972]; [57355734; 64193164]; [94103376; 88638005]; [87664605; 67983900]; [94533331; 39043642]; [16076369; 96039138]; [3510863; 69854860]; [17211449; 6855565]; [85865467; 12069598]; [91143232; 52775522]; [25142418; 69881584]; [58477856; 29656419]; [38477724; 36844448]; [9008675; 60127878]; [55510430; 64210421]; [41876238; 93806334]; [48236814; 1758578]; [49505371; 80700754]; [56126902; 94025600]; [53061703; 14085345]; [67394238; 31574408]; [7840853; 70254412]; [93952902; 64623411]; [7555624; 9689376]; [46318801; 17141080]; [7112271; 65748393]; [45974852; 97671391]; [23190042; 10772245]; [80753748; 23352149]; [94867409; 34275222]; [37024389; 20284827]; [42117509; 34853510]; [99539593; 71543868]; [84838054; 78649017]; [39077481; 73690596]; [27109070; 32327676]; [81018266; 96062788]; [47450868; 49690035]; [87361919; 23279605]; [97966711; 9991218]; [79042019; 3156045]; [89806731; 73299316]; [6917242; 43272977]; [16385824; 92822862]; [85555324; 39679745]; [57401094; 16360509]; [42718367; 64679398]; [67360330; 77263056]; [93223450; 74846443]; [63910239; 22339194]; [97010431; 96787505]; [86517395; 98523191]; [93199794; 60885544]; [71378154; 59013890]; [70019520; 33277200]; [76859119; 73048527]; [74667341; 26305453]; [31072976; 52059072]; [71907271; 47209357]; [5791514; 57700516]; [82068822; 27653702]; [77529111; 86939881]; [62516876; 63022283]; [1014457; 58776399]; [72261811; 49746998]; [57416459; 74715042]; [84297352; 25464197]; [14405539; 61994275]; [44142301; 78174382]; [15536590; 69135068]; [60481217; 8445413]; [89692268; 31458302]; [87075428; 60608542]; [90167674; 29783397]; [3454639; 7828656]; [88110587; 9479227]; [4904089; 4517203]; [22766375; 24731956]; [28317964; 63628811]; [27356989; 91466955]; [89707853; 55712825]; [13822167; 82837666]; [21315128; 26170728]; [71827146; 80464924]; [81631626; 96145636]; [86319211; 46153381]; [74153575; 82433840]; [31581906; 55117159]; [4789818; 33797574]; [43118074; 88961788]; [50074733; 36248811]; [60093712; 10688262]; [95991159; 6609550]; [91678246; 31955422]; [81809827; 19718819]; [22882658; 59335436]; [11806529; 247088]; [11496235; 94530917]; [79124768; 13260474]; [66859321; 99632426]; [13741383; 10060144]; [79974409; 65518139]; [9944807; 56636845]; [57799693; 88448739]; [33441155; 66310619]; [89537393; 58740344]; [55539821; 7709781]; [21728128; 10160936]; [24245995; 33220027]; [5112403; 37263116]; [94450946; 66903327]; [86694619; 87115823]; [24267676; 71553137]; [17871576; 51937788]; [76523377; 98652367]; [938318; 5763282]; [56798826; 24419888]; [24530985; 89460229]; [16372917; 54421337]; [3890020; 36527746]; [34286464; 65913245]; [18073992; 30117698]; [58124139; 81780891]; [40425155; 51793932]; [12681082; 91803066]; [90681554; 60281678]; [68952802; 21352999]; [99324534; 98551853]; [17233464; 38027111]; [67073754; 88545468]; [90413416; 63031724]; [69238754; 4982427]; [95671177; 69232546]; [28232643; 58704901]; [30946569; 29079606]; [69614031; 78292848]; [75840406; 47896787]; [36451942; 77993481]; [1858533; 48926172]; [61762574; 77246213]; [73347291; 31530277]; [65406177; 47429295]; [59352605; 6610463]; [60603937; 53914068]; [74404190; 48064644]; [97405943; 6840721]; [55956525; 94271467]; [57309886; 47927481]; [70574292; 8877163]; [17663421; 91466173]; [64458188; 77676628]; [32358249; 26804955]; [27517837; 26520159]; [44364919; 28106716]; [70753902; 23306148]; [40443156; 57343765]; [82330134; 46535608]; [26728223; 98092109]; [51346194; 73852266]; [95896082; 56194466]; [3871187; 61365279]; [55574491; 90783462]; [5894269; 90700715]; [84077853; 30068159]; [94641701; 33580544]; [52215368; 65091460]; [59536279; 57630140]; [28005198; 37815543]; [88218634; 71253066]; [6238739; 56711408]; [92192862; 99347783]; [73619345; 59998213]; [93640545; 96988824]; [39281965; 14591226]; [81433574; 11046831]; [24696730; 23203446]; [51641923; 21397032]; [57519277; 94454163]; [68635301; 33526985]; [86893372; 48340832]; [60761947; 47695532]; [88362036; 87557069]; [7768824; 95442362]; [61139854; 60210583]; [10103717; 63877919]; [55863271; 6462564]; [39813967; 8799581]; [91249559; 43665222]; [66304050; 69508675]; [68158899; 72792575]; [44695034; 57005401]; [71241378; 9257590]; [21584677; 32380591]; [8087658; 43071358]; [49229601; 24528725]; [95532750; 51626035]; [13598531; 95537865]; [79216270; 7345397]; [59074199; 17861816]; [52492975; 8474032]; [88571487; 30825153]; [28757877; 64219337]; [49589359; 51505043]; [64566081; 54719251]; [9108838; 34976982]; [27772749; 36938139]; [29146132; 75549982]; [68752853; 86295858]; [11601335; 70789558]; [78264546; 88312977]; [14407930; 77050409]; [516231; 73479185]; [32929642; 18594891]; [25721456; 7064233]; [51165251; 54699536]; [43044586; 65961950]; [78429361; 23737709]; [15353739; 17516343]; [2495904; 23795434]; [37830104; 50263572]; [87333588; 57062255]; [15643175; 49165266]; [46791072; 74306753]; [45849586; 76440225]; [35545893; 79103121]; [7138026; 75583284]; [90423332; 16770768]; [31430205; 83286795]; [84676470; 34084803]; [69058167; 99480194]; [94144153; 61517994]; [14350859; 86221994]; [53927857; 83122029]; [27442647; 47943340]; [16570883; 78137043]; [18051142; 6428984]; [78746417; 48952313]; [12611585; 97488767]; [60887022; 2232600]; [58462567; 55403256]; [1862285; 25955237]; [72969362; 83314261]; [27950180; 64962558]; [24321369; 73491313]; [84563785; 43650640]; [49704450; 37052030]; [59219733; 71272569]; [12794730; 99592394]; [21666786; 81915748]; [57778767; 85345679]; [46623264; 69979394]; [70185726; 90895174]; [2857568; 75388040]; [75390078; 55444285]; [27739029; 64505879]; [69826297; 98931582]; [24219236; 67097580]; [78787643; 33784639]; [76985837; 11373414]; [5620044; 14187597]; [32508990; 17872579]; [72006366; 55730878]; [98872644; 17046614]; [8751813; 43992661]; [37118998; 95678408]; [59178957; 25308900]; [85734382; 9614215]; [23266701; 18647475]; [51162877; 966433]; [22164991; 465693]; [22044594; 30053828]; [14197483; 66433700]; [35407956; 91650816]; [43180734; 60334766]; [68510770; 23952484]; [41647788; 47531905]; [7801550; 39228065]; [25867008; 62023518]; [65719913; 45421012]; [3873904; 88187474]; [51871849; 41406941]; [76149438; 18386944]; [61469857; 99510900]; [3494102; 60618155]; [34443987; 78937806]; [58293313; 49987809]; [75997262; 95814508]; [67311423; 66253933]; [78440891; 46322655]; [86427907; 25242316]; [13790847; 61432574]; [44088863; 41937448]; [5599649; 87816209]; [22198645; 46306196]; [29671646; 13878463]; [64692221; 20438347]; [13351189; 52504405]; [96817597; 75422273]; [55851677; 49319751]; [27075064; 33689304]; [93732627; 80776843]; [10369700; 18779255]; [84603630; 33603975]; [10196539; 5798831]; [91165551; 46436136]; [27569557; 49776555]; [81502185; 76516464]; [33768078; 54029512]; [85983541; 20587090]; [67966015; 85195939]; [71269087; 48607392]; [93475879; 27160639]; [67784504; 63566217]; [63102677; 33216930]; [56484450; 20221865]; [52915975; 81833009]; [43428906; 80173624]; [87300799; 58637443]; [14336426; 51922611]; [76952287; 51928894]; [90620830; 37831967]; [63846920; 96917177]; [42717987; 65921209]; [84827438; 33193905]; [94319811; 32279168]; [47327194; 20100160]; [83402693; 45248619]; [26664393; 21581286]; [90242567; 87473001]; [53928357; 74953591]; [11681933; 90066981]; [95544767; 94945892]; [60605322; 79478108]; [79743609; 79295086]; [2293067; 51604419]; [32387392; 60862278]; [39737302; 61631413]; [78954660; 16554753]; [74470307; 52458504]; [9019793; 4572569]; [81424711; 40149126]; [13033210; 51311869]; [44641051; 49598393]; [82989873; 24847987]; [89135196; 23461553]; [67042475; 18297134]; [94468266; 40073099]; [76339830; 84143119]; [89170945; 53440754]; [64044895; 69367459]; [15534585; 38268459]; [61248407; 86453996]; [4805300; 9981821]; [30198871; 63435320]; [34138360; 96469659]; [23305619; 96626430]; [97050431; 28263272]; [6740343; 32554532]; [56985292; 48933655]; [30646296; 16621545]; [79284493; 97304856]; [92111277; 48304443]; [15511134; 18505288]; [89635736; 93868550]; [8193007; 39764632]; [7710905; 90970895]; [79614682; 99174022]; [5683866; 66548964]; [3351091; 35929790]; [82056341; 4900555]; [34424946; 37268228]; [87043148; 45390552]; [17591045; 8025683]; [7654837; 53995657]; [13624825; 50657286]; [32983537; 74294665]; [48923682; 4179824]; [40237772; 5480606]; [45465812; 34948958]; [22584594; 15600349]; [2950144; 94270110]; [44993708; 35738769]; [73438342; 2179438]; [79008364; 93269868]; [98730284; 45700241]; [48935797; 61008351]; [68581631; 56471200]; [17712884; 69410358]; [32884343; 44160948]; [27289831; 82800462]; [93137931; 94273321]; [63100431; 7616414]; [80839700; 34947247]; [51358871; 77954790]; [62167214; 83600918]; [16763271; 7756059]; [58644260; 46992186]; [92541812; 22053886]; [94188262; 38496188]; [19528101; 64080904]; [62908041; 94863029]; [70270389; 39539324]; [70865226; 92232038]; [79508161; 90868142]; [67103028; 70490916]; [35533831; 73646483]; [39400203; 43519146]; [4610189; 86661014]; [31071744; 1693046]; [10020493; 67895843]; [3515146; 26451033]; [76544351; 58944219]; [92016630; 67862739]; [12207977; 26813555]; [78711712; 35335533]; [79752518; 90506741]; [89307362; 2340278]; [96548177; 46784323]; [69615735; 68673983]; [89053608; 29596418]; [53166036; 55067985]; [41199952; 21160844]; [38119740; 29106736]; [15748375; 40729707]; [94407999; 66167501]; [17598267; 70000210]; [48738356; 30675931]; [88505269; 4438709]; [50585436; 99436948]; [58533583; 53616520]; [70964488; 23842763]; [61953377; 20449487]; [15919623; 54407103]; [3788293; 8197811]; [20645886; 46448583]; [31235297; 43414676]; [24667368; 33830549]; [57063220; 16371668]; [21755324; 4029325]; [99262631; 39905319]; [17885621; 10368374]; [86643507; 92789001]; [83643255; 42987203]; [11711535; 43813122]; [84598274; 61490279]; [93253807; 8813822]; [38466761; 45552463]; [20641060; 50555831]; [99945362; 89379049]; [38756275; 50355744]; [34592059; 79402975]; [78608255; 76620694]; [89153549; 49689118]; [10831780; 54647345]; [66404383; 74753932]; [44849772; 65547255]; [76601000; 58971145]; [53380024; 40393689]; [32465613; 47488751]; [77640294; 47354019]; [57411875; 14548363]; [95165276; 25730564]; [9615464; 35002677]; [78344247; 96585014]; [89525916; 71346620]; [41077883; 90502501]; [17702931; 4733077]; [716832; 51130357]; [97583775; 54050948]; [74691685; 92144]; [94693121; 35186744]; [40838493; 92416293]; [11482668; 22358897]; [4279889; 20331397]; [1913017; 57552667]; [41357944; 61693146]; [61144525; 73656808]; [82892497; 44355051]; [2305741; 23170100]; [10967334; 71134937]; [98733858; 92434128]; [7186972; 56210339]; [11563793; 63658036]; [93728057; 10419036]; [75702833; 36392627]; [57810016; 81530921]; [49242326; 5506723]; [38523633; 62299381]; [55932894; 998553]; [56481984; 8200816]; [42751087; 48554864]; [94160160; 62613020]; [48234698; 89033753]; [57871738; 93690653]; [83647685; 72193515]; [8496037; 24718430]; [89798949; 17669286]; [9409414; 27492436]; [11195966; 41104915]; [81805419; 32967669]; [61489317; 68252568]; [40129701; 19048678]; [63793942; 36510949]; [73039349; 6250976]; [56518537; 37579202]; [53501492; 70566829]; [92212086; 37303365]; [25471337; 12246578]; [95868636; 75807896]; [91567521; 72622013]; [51846564; 5144833]; [24292664; 26596455]; [71377787; 44745789]; [66855620; 99750660]; [45823708; 15902700]; [24078452; 81976867]; [46618315; 94482372]; [26406485; 75145152]; [679926; 33543855]; [77109258; 26900910]; [4971023; 19244883]; [59117865; 95013405]; [18678570; 35631733]; [15622193; 3980570]; [50991392; 27589433]; [4308228; 78654052]; [19487205; 81928602]; [29006556; 5210112]; [66811339; 62705520]; [9686106; 47900050]; [85394845; 54601729]; [44133813; 68669082]; [33094590; 89283435]; [49864617; 89279422]; [1208283; 84473513]; [53113736; 30600118]; [48376625; 92072213]; [8492878; 78581381]; [64115984; 10370347]; [54132171; 2706514]; [58029246; 59757620]; [58651253; 46108604]; [49950308; 45499866]; [81175839; 68544426]; [19814209; 36334856]; [56842233; 43432458]; [30099192; 26089019]; [90042788; 69266785]; [17315133; 14785975]; [97222851; 60933696]; [8462324; 22509862]; [41135105; 77793611]; [77134284; 636133]; [89390198; 59370258]; [30301936; 58379651]; [55198607; 34476782]; [48468007; 52205674]; [53924439; 70412340]; [63343918; 47575417]; [47664069; 82051700]; [24723138; 23666408]; [73674315; 51609759]; [65761435; 88202819]; [59553941; 38980768]; [67811223; 27494743]; [5636948; 97390021]; [7365040; 10141029]; [86364924; 29634953]; [71140444; 40501420]; [12472576; 72338690]; [91818669; 78952539]; [41819551; 67415589]; [36206726; 20121174]; [39871207; 82057004]; [51629444; 39453542]; [56188710; 14060883]; [43219692; 9063617]; [60859117; 20171925]; [85438525; 67384044]; [98595457; 31514353]; [50801115; 5359975]; [54218401; 82902109]; [76466737; 67842708]; [30817717; 4627152]; [72441240; 26970171]; [6289098; 8797724]; [69050848; 76705010]; [58712063; 92177191]; [70844187; 2732135]; [29733049; 89918117]; [77804231; 92759293]; [56908762; 84621649]; [49819246; 20515096]; [39831109; 49425966]; [77489012; 23048606]; [38060464; 6217200]; [64816945; 9761230]; [44914303; 97314352]; [95862827; 86283118]; [64827952; 57871861]; [55810313; 8795021]; [35874417; 72234136]; [76495373; 70011294]; [39824114; 53743240]; [44528723; 70680581]; [3418281; 11321487]; [62213553; 62915410]; [49302775; 77505958]; [93321465; 31914311]; [54029803; 32505170]; [9753991; 72412459]; [11763044; 7248910]; [55034322; 73706085]; [49629601; 85699988]; [25050370; 52277595]; [79919825; 56099342]; [86160148; 33082524]; [62379567; 86229403]; [24566524; 29768931]; [34428363; 80183637]; [1418183; 76356151]; [56238792; 99067613]; [53797851; 4956748]; [56846393; 50469826]; [4075283; 37682766]; [43578600; 4788145]; [33845375; 50008362]; [18522018; 67890078]; [33840522; 20523500]; [15784626; 99768817]; [74135701; 98332767]; [42937725; 25899537]; [16403313; 43448796]; [1991247; 46626925]; [26943642; 28560754]; [54356187; 99232683]; [41787671; 42186621]; [70809390; 33937193]; [64417911; 47467805]; [66788259; 34047018]; [13711525; 19680065]; [32450048; 46842381]; [87305572; 18312042]; [16068646; 49326897]; [58258943; 52844785]; [17208684; 18741705]; [96499587; 75722392]; [75989344; 78187079]; [34397473; 77390330]; [18551737; 52015449]; [72644959; 94164783]; [92489646; 7602930]; [22937083; 33814697]; [50317402; 75145159]; [17160840; 97420723]; [69903353; 3127811]; [40023509; 53334468]; [80156195; 62243836]; [62143994; 40594554]; [93218258; 74995352]; [30434807; 6515157]; [88604551; 74026900]; [44204014; 14169299]; [55796937; 70421437]; [66400757; 39773783]; [27970524; 11216056]; [54761605; 20354719]; [95042271; 16819240]; [21696453; 66686823]; [75489729; 97639760]; [41599255; 77842446]; [76389707; 15371322]; [94649182; 54808601]; [83406872; 3700327]; [12815551; 39936262]; [43394218; 87361553]; [90259994; 40863455]; [51071167; 54546889]; [36597360; 53222146]; [40974987; 59645559]; [23541927; 66311350]; [60646949; 36543727]; [20900432; 83130185]; [20311267; 84024196]; [53226170; 16363048]; [4715606; 44836626]; [95983613; 84252916]; [46727480; 54469132]; [70287118; 24744765]; [94203609; 52947607]; [36782051; 20504036]; [64347031; 78277237]; [8059783; 4636315]; [21855377; 22219821]; [71223810; 65789043]; [67564608; 49706681]; [46490191; 27857413]; [12978278; 41774764]; [37460918; 10457611]; [67495673; 18888081]; [20625268; 75519503]; [16733188; 43045027]; [85495059; 10701257]; [9856007; 83607871]; [33412775; 63505145]; [73182614; 34015249]; [27499207; 83779739]; [56855358; 57192165]; [75928111; 68844604]; [76898141; 35072338]; [31254135; 78339205]; [35765824; 1440225]; [65654404; 18310968]; [31568483; 54864187]; [55047142; 71116135]; [96778620; 7951827]; [47924237; 62038772]; [62755837; 19296223]; [86493532; 41146319]; [41127850; 54197424]; [57217454; 6546035]; [64364434; 38501771]; [75723289; 56281731]; [50582670; 67690266]; [20406275; 78236560]; [25075669; 4196950]; [9667907; 23834251]; [11237115; 1295613]; [96649204; 54490283]; [33184476; 66308114]; [75749422; 61159227]; [4407895; 79471506]; [11502448; 30805837]; [60943552; 60097193]; [38391716; 95542662]; [33679369; 95527229]; [78297693; 42918472]; [9162809; 54466205]; [62416746; 16019252]; [51863942; 87171512]; [34141788; 69183550]; [85725819; 49673664]; [23906309; 38411459]; [28622570; 89825916]; [45999790; 33473113]; [28341703; 82574882]; [59715991; 94917550]; [23917846; 40822346]; [84241568; 22319299]; [21664067; 12098678]; [67121697; 87589883]; [20171845; 10689838]; [91034575; 20400569]; [24148641; 29062852]; [71880603; 49055910]; [63035160; 63394847]; [43017955; 35551793]; [75973773; 32341612]; [98009548; 7405934]; [56284151; 29441990]; [11026284; 99688984]; [6909561; 13519161]; [17827399; 14359856]; [65374344; 5646664]; [25057320; 62926802]; [65230757; 38103224]; [61318817; 69966660]; [60816070; 63629674]; [43622664; 52717482]; [14659196; 77303531]; [74310196; 47308481]; [56922591; 92377858]; [74107639; 80814439]; [88772249; 79935445]; [58660118; 24458693]; [45032235; 90263924]; [49204029; 9310629]; [41736852; 8242163]; [15632740; 93872181]; [70422829; 23499229]; [33760119; 65434010]; [534464; 20123030]; [67947504; 36406612]; [12276779; 37227984]; [1122012; 70697161]; [47967477; 3664719]; [63378437; 51163134]; [76037200; 71212041]; [94466343; 95599246]; [21325175; 95002882]; [24981841; 12895087]; [51599105; 51619083]; [9100288; 72344659]; [1151578; 61957676]; [68091414; 13231233]; [55864123; 24177623]; [27859409; 90631232]; [19358569; 77306805]; [12706892; 29694682]; [34711524; 89507557]; [94850379; 70973701]; [3877784; 10611430]; [83685434; 18392437]; [48542982; 92285205]; [84934024; 78277783]; [22914106; 27123796]; [55667512; 8045538]; [27102321; 52197145]; [94914556; 74918416]; [9619334; 57660288]; [9814538; 42593540]; [51820529; 49909534]; [17611090; 41377327]; [4752821; 46295817]; [70176796; 29919149]; [2013965; 57773767]; [23970332; 9504172]; [79661956; 46976667]; [55543254; 91672774]; [29518121; 75203148]; [115066; 93520403]; [89526390; 31234130]; [77736016; 76896241]; [89752270; 61030290]; [69849858; 51719396]; [97106521; 30783772]; [65690155; 1931927]; [47544953; 70729700]; [25398110; 98324030]; [16037989; 36008935]; [30917336; 77871410]; [62218582; 14243971]; [166629; 96026327]; [22408118; 69642867]; [59360522; 31285376]; [84157212; 91936974]; [75904191; 95154941]; [21920110; 12357985]; [39936913; 4178435]; [75246619; 38198093]; [11387; 47393473]; [99500078; 64093704]; [1183849; 6058432]; [32785055; 72830497]; [97462858; 14491615]; [84212381; 68620074]; [73366728; 44861073]; [75210321; 50726029]; [72056168; 4735624]; [19437005; 10227136]; [21826698; 8217351]; [70878640; 15312084]; [86864715; 60830198]; [11578303; 47414045]; [76384581; 94065204]; [77633709; 80616374]; [47063135; 87849671]; [22142698; 14376593]; [98184675; 56902356]; [30556737; 56407936]; [87406392; 25234854]; [70304564; 20316004]; [90673201; 46036736]; [27091255; 44713321]; [49117850; 67735815]; [91724872; 34095918]; [35705829; 46510401]; [76256018; 56861217]; [4289950; 72790187]; [9054135; 79760694]; [66585769; 72122270]; [13379084; 54770189]; [53514688; 9750512]; [34868998; 77643593]; [6490956; 46410995]; [92003173; 35204995]; [50721695; 62554671]; [79001747; 93525726]; [64337834; 32070208]; [30362635; 71475109]; [57283556; 20509860]; [73225664; 4628059]; [48824173; 49670014]; [87252398; 32926316]; [33731826; 86438768]; [23678389; 74780174]; [87973521; 23866245]; [24116860; 78366972]; [72754655; 9744897]; [32488607; 75475555]; [15282110; 52609317]; [96793767; 68450601]; [97467103; 33395573]; [75695194; 32391975]; [86962031; 34469520]; [56589983; 19491456]; [21099251; 16990651]; [89987102; 77583097]; [10912274; 31722462]; [56823333; 22835225]; [7542762; 8799918]; [10216914; 96732055]; [76218796; 16634392]; [17874560; 61871517]; [62361097; 14481116]; [16152001; 159695]; [11076479; 11534891]; [65688123; 51424893]; [99502371; 6473219]; [53120069; 72333572]; [83834014; 52735118]; [64056544; 77593346]; [77645297; 24082779]; [60399135; 84912333]; [39939244; 26827908]; [81769247; 86441593]; [46707274; 34553921]; [29183007; 33372390]; [89321234; 94379938]; [50330021; 9075811]; [87145622; 48483522]; [16225764; 40865872]; [24082509; 3919874]; [70045941; 10988690]; [87751610; 88054391]; [70385965; 57453739]; [91345767; 90804006]; [48440013; 91445302]; [76905292; 78918876]; [18509608; 45182061]; [97463422; 13887675]; [55316983; 14616756]; [58705866; 32146275]; [75154259; 28102510]; [2999298; 88549166]; [92980332; 60997667]; [41217694; 62639531]; [23894764; 93470357]; [65627940; 82251293]; [28524789; 82971382]; [32449170; 16971689]; [71012670; 61169503]; [35720740; 29743077]; [2229965; 36277809]; [27454031; 4531969]; [72584970; 40849102]; [25895756; 73400793]; [24004055; 80158640]; [83040765; 70713811]; [55180284; 26468464]; [63884494; 40333010]; [56094174; 80961052]; [45941252; 11237588]; [92809822; 7941158]; [94140595; 75263129]; [90758730; 90470669]; [4080565; 38611858]; [79892268; 1252275]; [1010762; 25546738]; [72882114; 48966726]; [22004897; 54539236]; [78333572; 46038085]; [64022871; 66029150]; [14011474; 52000595]; [14114724; 68979616]; [25205058; 15445308]; [113076; 14859316]; [99969107; 74951526]; [2342361; 83907816]; [33570211; 59477111]; [88066618; 83806249]; [73423513; 35748534]; [12342398; 55610856]; [41046417; 4750639]; [87718099; 38905091]; [47673019; 36651417]; [26187589; 47130929]; [12341307; 51866209]; [99434556; 23493310]; [18794643; 22354424]; [1263132; 60834916]; [41881903; 98073823]; [44091804; 50568462]; [70883923; 84558097]; [3033306; 79685017]; [76645189; 85722501]; [60277760; 64524116]; [1621945; 76085115]; [40838891; 78111065]; [21142713; 57391876]; [70225952; 22525012]; [74560678; 21616537]; [40710655; 72995272]; [43970427; 11499221]; [73013753; 64967892]; [69346178; 25095489]; [67449712; 12589532]; [99463937; 30852900]; [25093014; 97019129]; [17476555; 89231006]; [72334867; 71908223]; [41188466; 40805715]; [55344861; 41066415]; [7765666; 51910623]; [79325143; 39225863]; [69022131; 41862235]; [13220688; 41705670]; [59931199; 12875142]; [10672646; 40971750]; [56842236; 71513730]; [98815279; 75627241]; [38341301; 71576895]; [69235462; 68479265]; [52987947; 43745205]; [28296161; 29237979]; [78683920; 32559529]; [37104302; 85208864]; [22359411; 1949197]; [16968924; 16424322]; [36002724; 98490961]; [68308708; 84113331]; [62580680; 77983375]; [92925335; 71680874]; [82703322; 92661379]; [63358566; 21755871]; [53959940; 93731977]; [31379124; 16795451]; [30690354; 38921072]; [60316521; 23337876]; [59790291; 72753370]; [79570867; 19821063]; [77923691; 26494087]; [90061283; 4476483]; [8652736; 73406986]; [55132399; 76812755]; [25111979; 33669807]; [57960851; 61248392]; [90736873; 6203368]; [26953055; 41578005]; [52484576; 39108957]; [582825; 70434895]; [11265542; 64392411]; [67772913; 13905379]; [26384833; 24186735]; [23389773; 56517180]; [16605969; 97708636]; [97178620; 93276663]; [70921852; 15736521]; [46933138; 3578739]; [43374083; 83157778]; [94918225; 99724649]; [6211072; 45018857]; [755592; 14107415]; [74711670; 49320147]; [27307174; 73846965]; [857880; 60875235]; [17208999; 65419936]; [8226877; 26810622]; [32776293; 98297451]; [547044; 99922852]; [75057666; 93739222]; [3923282; 56626655]; [75825911; 34904894]; [65349675; 70357935]; [87323299; 55089706]; [22985373; 31504841]; [4540533; 28525968]; [46049212; 70476939]; [62780227; 98416811]; [79494854; 45225746]; [79313713; 63825191]; [28174167; 66884372]; [36691788; 34872432]; [38301276; 83793111]; [22799114; 97855846]; [19847892; 89647423]; [97556358; 18528762]; [85664949; 26361513]; [27258027; 88684983]; [13075774; 18910262]; [4801059; 21496504]; [12822046; 46717183]; [2290878; 64053702]; [16883487; 56195984]; [92424832; 38304753]; [26179362; 38554393]; [51955926; 55038705]; [69237468; 2276977]; [50562481; 3004576]; [2804648; 3051081]; [77622279; 92028096]; [8252240; 3685740]; [59014100; 34168856]; [84324018; 8077260]; [53097941; 84808650]; [90494853; 77649495]; [86869718; 74047818]; [3377032; 31607441]; [31887511; 24518991]; [88380395; 76121483]; [7436846; 36311249]; [20715083; 65658358]; [54764860; 87955387]; [1876930; 78682411]; [64492421; 24778502]; [41931271; 70078069]; [19382248; 65027481]; [25273237; 83485925]; [55163252; 49538254]; [2211494; 92426555]; [42730753; 53589021]; [50836088; 12738935]; [11651594; 82577224]; [13953714; 9928037]; [20904574; 7814246]; [95873934; 91725785]; [62431539; 16460310]; [12400054; 50428099]; [77655896; 18572148]; [72474729; 53529318]; [70683707; 70580831]; [151069; 11907482]; [3888598; 23442129]; [3336430; 58465141]; [88881776; 12350761]; [65128547; 6491213]; [4600; 21721811]; [53866042; 33272782]; [28412095; 62826195]; [7780435; 3553544]; [80322846; 99832767]; [34186970; 8870388]; [95125033; 18547668]; [60843822; 24504253]; [90629965; 87614288]; [34159140; 47710191]; [48136378; 83744616]; [17514202; 36624594]; [77067326; 43378235]; [94587325; 40667574]; [65673630; 68754833]; [84218036; 19188274]; [10838688; 15320505]; [51967830; 98972537]; [16607561; 4462420]; [62818462; 76926014]; [58296334; 84679133]; [19337851; 12827617]; [32925254; 4582484]; [51635676; 6175505]; [97788532; 30787415]; [19495121; 32432336]; [12398897; 84785232]; [61999595; 5988604]; [68690814; 61603217]; [21101854; 21699641]; [49529110; 57944719]; [69546254; 3172203]; [89553729; 78266267]; [66183800; 49217395]; [15381995; 58434287]; [39050987; 21903241]; [94370738; 23785920]; [57670393; 89782243]; [21973470; 96789553]; [22724846; 19141180]; [2320280; 97405964]; [29485910; 86963244]; [57857490; 66002665]; [5076294; 85992339]; [71790814; 49624155]; [58896431; 30986114]; [3895839; 34174799]; [54735548; 22046387]; [37974758; 95707049]; [24484030; 19059123]; [21415122; 49790153]; [24487716; 71960170]; [18799778; 58381159]; [58918598; 4682672]; [51360053; 16713846]; [26984217; 79154203]; [60332708; 75482917]; [8228960; 35794686]; [65291133; 76681868]; [55114270; 73590075]; [49927756; 85699588]; [57191056; 38414912]; [32054032; 64573703]; [91319899; 11281445]; [77591102; 61403421]; [63386957; 94442852]; [52152070; 85232128]; [62451797; 36985930]; [23299520; 87661354]; [51228751; 26878828]; [42962269; 5446895]; [53590643; 79796100]; [98717460; 3630859]; [43136435; 6940228]; [42916305; 48263217]; [96048041; 39309503]; [47509317; 18401520]; [38960125; 60178050]; [24583257; 78297867]; [57534411; 46831970]; [96420018; 7071903]; [3623809; 76898]; [80172126; 68710952]; [27815549; 17781414]; [34456619; 60518963]; [18018733; 13113534]; [13431201; 29304464]; [45152261; 37637746]; [60866933; 49522957]; [71275124; 17057242]; [56328673; 20649833]; [89917445; 42780854]; [65996380; 71351815]; [53706646; 50825574]; [51214605; 16933228]; [19270790; 50829376]; [24279288; 33832293]; [23125542; 23985927]; [95286554; 30765330]; [99192593; 29266513]; [5856116; 61175192]; [6552559; 86332124]; [51683152; 74866180]; [93538096; 61553096]; [39505310; 81209706]; [34126940; 10601408]; [75646191; 20101182]; [60456027; 34861453]; [17451815; 25179410]; [54071384; 3684490]; [55205217; 85400898]; [23102559; 8066534]; [60074265; 77137077]; [83146143; 56311243]; [34183670; 34196978]; [55252970; 31111012]; [53231252; 25098002]; [22905673; 13434486]; [53707879; 79508696]; [69691838; 76499885]; [21655564; 11930063]; [83637231; 87457782]; [1634067; 79072125]; [40355721; 56095658]; [62906051; 65575465]; [83848389; 25941032]; [1979981; 29893778]; [85588853; 48831639]; [94874343; 5556643]; [96529266; 13148358]; [95107875; 14571331]; [55923646; 21036843]; [408522; 45764401]; [59257917; 99517816]; [81175162; 54817619]; [85785812; 35337228]; [6617300; 21569052]; [80397542; 35992503]; [76584427; 47530417]; [41007673; 93196903]; [29348558; 35440519]; [47370894; 20003776]; [24264887; 45961504]; [93222588; 16234903]; [42999404; 25130977]; [26773562; 96914210]; [20094839; 67918370]; [32801347; 82045953]; [15534291; 278798]; [6162333; 13868698]; [58848859; 53581857]; [33963150; 84693879]; [25582381; 43792397]; [5456980; 99519065]; [19807192; 18348698]; [30004914; 28237541]; [19806518; 38525138]; [55739620; 9706591]; [35676509; 89336058]; [657285; 33128007]; [62194705; 21155702]; [39462773; 36729066]; [28058618; 98963766]; [44402914; 77607851]; [47509218; 68097759]; [13339385; 7221988]; [50813601; 10446512]; [88832897; 79897794]; [63366821; 24866769]; [92155892; 63565481]; [74052509; 44783377]; [62509359; 55423325]; [52007956; 62713520]; [94673381; 61514249]; [8969353; 75163641]; [35208705; 71224477]; [11614533; 40423765]; [50320129; 16173585]; [51551405; 35684289]; [73579797; 57541789]; [21040279; 46145753]; [51249552; 98491085]; [64522624; 75088439]; [12874901; 25621975]; [95498732; 39468505]; [26967220; 36382550]; [53937669; 62169909]; [72357542; 58583822]; [21856829; 77265201]; [71648231; 72175367]; [9382271; 56492921]; [94573223; 23154506]; [35987258; 18299141]; [43506634; 70028448]; [94173278; 23627126]; [97321502; 79457971]; [89077551; 15989217]; [54923152; 93517271]; [91402935; 41331287]; [89190169; 99805637]; [99636592; 96868971]; [99749661; 637155]; [12750645; 96223874]; [20138565; 96077884]; [46267618; 64013847]; [80260492; 86735115]; [72673259; 59929699]; [60865942; 68710300]; [24508131; 55923022]; [70168417; 11461911]; [94139523; 14480550]; [20492648; 23821289]; [35495081; 78098786]; [93486440; 60134507]; [70448376; 1006300]; [38121971; 59927596]; [49836299; 68519145]; [82298529; 37514308]; [58112459; 37045523]; [56794048; 77658069]; [93617459; 85620262]; [95617690; 71145513]; [95146110; 84451136]; [56645995; 43726863]; [50849506; 85375709]; [629435; 48567033]; [70547181; 22317988]; [9864928; 93338516]; [71612504; 94833514]; [97841367; 85507391]; [83784667; 51845521]; [2343450; 53472595]; [1724987; 21473523]; [63196306; 80606429]; [18956593; 17765439]; [2575766; 4712109]; [54222354; 70698838]; [65706331; 39222377]; [19634037; 77034395]; [76214613; 89721308]; [23177269; 58192296]; [7088184; 80480225]; [69541789; 90846454]; [18475593; 71151200]; [12545276; 1209815]; [20540983; 29104106]; [5918429; 36215067]; [7443238; 18663717]; [97799217; 28760631]; [92699630; 76780058]; [35810155; 73834975]; [27831693; 81406897]; [58185920; 1380586]; [12654719; 63929792]; [96903899; 33961204]; [31733317; 66861484]; [36140333; 13090000]; [34696553; 74402317]; [30828698; 42955647]; [96777876; 33743852]; [19085952; 37265536]; [12626193; 74061323]; [87465262; 55194823]; [97497336; 28868616]; [72488908; 89386599]; [97721988; 90023271]; [98441112; 20890220]; [67954498; 95208401]; [17426697; 21738824]; [16680500; 59199597]; [62595489; 51507964]; [28482699; 26379230]; [60488237; 40288474]; [90586719; 82123648]; [11785383; 58242104]; [65965661; 23025353]; [10297436; 10684728]; [1431861; 1040845]; [14610309; 99948346]; [30260356; 47347195]; [31647388; 20539567]; [37663831; 50878707]; [96086209; 42883411]; [77014412; 23198167]; [49203341; 64922007]; [42830594; 41170667]; [54458562; 17292772]; [43419497; 49551504]; [39113896; 96145735]; [15151559; 70501160]; [20065550; 70406728]; [31958974; 17977308]; [41870515; 18720856]; [77122841; 76813105]; [89994630; 65775015]; [60374093; 25608514]; [66703914; 5929600]; [71021864; 17470468]; [2238827; 97288522]; [49923936; 37101652]; [44458917; 48433099]; [788520; 31109403]; [91271029; 71685823]; [67031756; 58921154]; [46651184; 31538204]; [21597768; 44612900]; [17761769; 68195841]; [92461414; 7708066]; [35368085; 7379232]; [17701243; 99147583]; [40001768; 52354661]; [15616439; 63837902]; [78181555; 85719045]; [19229682; 89363663]; [58170084; 10187325]; [68777348; 7572417]; [64657758; 94698926]; [7397195; 88383751]; [38739149; 90124407]; [76323100; 23771480]; [8903299; 55226105]; [1443086; 38706267]; [20977854; 65777718]; [57715908; 12319068]; [94711122; 82196401]; [17106803; 58582497]; [98838477; 935461]; [23236033; 31931029]; [6452442; 98960207]; [18910741; 48467673]; [43411954; 90866056]; [16881745; 65698188]; [70429163; 8731748]; [98573651; 31247613]; [60517758; 69776894]; [55930311; 29574210]; [5452946; 64258034]; [15175194; 86672009]; [86891608; 6997988]; [38192679; 75754854]; [7552238; 19968098]; [83801194; 35414341]; [8583133; 19465698]; [62191066; 98386265]; [47736423; 61198719]; [25681101; 60602320]; [67961358; 55006688]; [92058250; 34200063]; [88616601; 9905793]; [51658490; 72050005]; [16344604; 47942604]; [93818058; 51398841]; [85297895; 47889268]; [27778249; 68547453]; [98801465; 90318969]; [85600757; 49192797]; [26450873; 82887336]; [3432718; 34123371]; [63936527; 29464119]; [27619208; 3161216]; [13347360; 84676134]; [24749672; 29455627]; [56825442; 30381303]; [4353176; 15552719]; [16579457; 65843364]; [73289105; 51457953]; [9130730; 36135096]; [38148800; 50231557]; [76795609; 81398022]; [97529204; 96715039]; [98877356; 53295434]; [1252379; 8534927]; [29700472; 51269701]; [40057413; 72635142]; [32721207; 57597215]; [9613310; 31063218]; [61179279; 60473386]; [63608602; 72705406]; [54950534; 46385173]; [82964036; 67142926]; [8121808; 81488646]; [58447634; 95517938]; [56050462; 83469802]; [5466883; 90825250]; [53397593; 96095194]; [76466581; 48268468]; [12861227; 6059137]; [62119296; 80032314]; [98031274; 32487179]; [55824685; 98236401]; [8552729; 28992413]; [85919276; 50667278]; [52825820; 88480743]; [84931435; 64267422]; [72068252; 46190522]; [69057401; 83025765]; [62785603; 32228728]; [16806754; 56435043]; [51517624; 13965126]; [58637275; 19362003]; [76273817; 95080953]; [74962096; 14179774]; [37413651; 68962960]; [27659573; 68346696]; [8433907; 58108047]; [13463102; 69254461]; [99511348; 77082626]; [42140485; 33269340]; [69746850; 75670281]; [25602627; 15370782]; [84764629; 10516536]; [41079232; 10661980]; [32094724; 32974320]; [69922151; 43554674]; [84679560; 38932856]; [91765550; 76538782]; [66666946; 88596945]; [94484733; 10555168]; [41914549; 53998097]; [83450488; 64993812]; [99148928; 68402396]; [74680327; 46039164]; [57604193; 29802449]; [60523958; 96774857]; [81741214; 12755432]; [58978305; 69255462]; [98180070; 93163350]; [77589463; 94431387]; [1075305; 71311311]; [21860803; 95468173]; [24278542; 18604601]; [3490421; 57606820]; [57193775; 52245245]; [73295554; 22612369]; [41345892; 19143522]; [10914658; 85839900]; [76262274; 3587449]; [4245328; 19714365]; [26971889; 77864118]; [76510711; 34865485]; [49103036; 25918148]; [52697494; 63115511]; [73772609; 34868294]; [96103493; 54152621]; [36114180; 52258911]; [11551781; 11539445]; [17624151; 20187277]; [11979274; 38860248]; [1649952; 35790466]; [68960735; 71747094]; [10704279; 28627618]; [4604573; 47403225]; [6184963; 16233037]; [35678522; 5049303]; [55029877; 45633665]; [43240716; 99340654]; [2381897; 69376069]; [99334437; 44181056]; [29691233; 32619575]; [18279197; 33014212]; [21735420; 20093354]; [66113858; 32928605]; [6783236; 33890959]; [61894827; 57271053]; [33933019; 13319303]; [71877593; 82946081]; [47059009; 32541506]; [55855789; 47954714]; [7028908; 68204323]; [15436093; 55405851]; [17934167; 57271210]; [69867419; 69648492]; [37128834; 39314873]; [35244589; 85142665]; [77800618; 13952474]; [37886637; 12093691]; [23353642; 51204190]; [24587520; 97121696]; [25188690; 13022651]; [51354402; 3624751]; [93093032; 14547330]; [61933534; 33486051]; [54263674; 21189626]; [32871764; 37640110]; [41194711; 22361234]; [29062199; 43210561]; [94027269; 91276252]; [91695064; 70015736]; [66417819; 8863338]; [66328184; 2377560]; [51517301; 74430344]; [90893269; 68998519]; [78025614; 89674658]; [21546332; 13332824]; [27035457; 91248091]; [36273846; 89694721]; [11636654; 4445277]; [23215121; 8569735]; [63025756; 83581211]; [2755696; 76195791]; [97861358; 78223918]; [8113987; 31609801]; [10239340; 4977422]; [26200154; 78037008]; [38352937; 74184213]; [13375044; 50215742]; [84271406; 30358110]; [94456611; 76659763]; [1012988; 61431431]; [67108824; 17378953]; [12930911; 38886023]; [4043228; 75589592]; [52386195; 63837180]; [59566848; 12273416]; [53958150; 79642823]; [55668124; 39769293]; [90722078; 41866327]; [41598411; 51724511]; [51726930; 1257515]; [34177036; 55436218]; [58292716; 33636775]; [98067369; 68281090]; [24938698; 23963171]; [57444150; 96222692]; [80067804; 93033396]; [87709384; 15046180]; [11537765; 70953276]; [63555852; 59295837]; [18031194; 23569802]; [58015249; 76336277]; [55851472; 87752675]; [84462285; 42007878]; [67854756; 86443541]; [37941787; 97058373]; [8362935; 57165819]; [16412914; 53889381]; [73266465; 86419955]; [84288983; 75559197]; [40708233; 12172758]; [8357095; 24166205]; [74201949; 92239911]; [89276067; 61796130]; [33882132; 63696515]; [21218895; 26021172]; [47818446; 82826432]; [62372028; 50254557]; [64013015; 94684002]; [55627207; 49903184]; [97845465; 823962]; [38867281; 22193774]; [14941756; 99371872]; [71519569; 39961447]; [25756347; 13798009]; [136659; 29832460]; [44048755; 91189549]; [28103673; 1045080]; [68105437; 72434699]; [44900492; 46334492]; [345558; 80111138]; [77981054; 9008114]; [49545088; 93368100]; [89640661; 82148015]; [89962660; 10141033]; [55352681; 96251002]; [7080626; 29892244]; [90823570; 58328738]; [71116817; 87412354]; [87551273; 50148484]; [1972989; 64452579]; [43966283; 50156780]; [17442809; 85590357]; [42379152; 49742307]; [77407643; 45056112]; [75897972; 64256113]; [65402559; 38710484]; [64239556; 26527441]; [84775047; 1505262]; [9372716; 94878028]; [75593927; 47368508]; [22177766; 65502760]; [87632497; 88170327]; [57673284; 50575893]; [86200772; 83260604]; [78868021; 28036298]; [92160758; 62837792]; [57965032; 59468981]; [81966592; 81275893]; [31268027; 16961259]; [18854904; 78496077]; [647871; 57853489]; [29227075; 75183876]; [6961144; 19558169]; [10014744; 18422162]; [12431863; 57815640]; [4601935; 4668451]; [88987551; 38546719]; [33615723; 33622464]; [27732203; 17451011]; [81997444; 15152076]; [68484400; 88544543]; [36275208; 30344835]; [40545245; 21438080]; [60165510; 47554662]; [45657343; 9869470]; [39170091; 1284246]; [31703303; 73464086]; [86370842; 30932572]; [6840322; 18555387]; [20599814; 39923693]; [42217954; 81675545]; [68411048; 82704481]; [86396808; 70185128]; [62698092; 9615832]; [4767736; 16431422]; [70046031; 97804378]; [76830599; 13462134]; [35747765; 22573434]; [74672251; 57434667]; [38074573; 61595295]; [67576033; 79113943]; [48296146; 55566584]; [25969493; 73037044]; [45295353; 76363165]; [59597783; 85988925]; [68224020; 27709113]; [71414700; 47107649]; [85627373; 86584184]; [90607082; 8982269]; [6079894; 43990200]; [6924413; 72825027]; [82451474; 21572154]; [53556152; 34407725]; [47514179; 34230006]; [37230577; 97163079]; [30842207; 53894221]; [24655063; 91397996]; [41855007; 67490133]; [22783853; 22933926]; [74547810; 18472346]; [17359446; 4240558]; [10963513; 10973520]; [43021215; 32603948]; [83215109; 71616028]; [72815284; 80588467]; [161696; 31375964]; [26176765; 267792]; [61507106; 65621316]; [18739432; 50875490]; [92672200; 59806]; [74319002; 48135679]; [85850996; 28809297]; [77316363; 76293067]; [26227368; 28097242]; [57996054; 38990094]; [16609178; 60255921]; [6956392; 17001364]; [20410489; 23693620]; [27885862; 91421656]; [74583226; 93601016]; [22346122; 41719262]; [26415996; 64427313]; [20368863; 76023563]; [99489275; 97257370]; [3254872; 41959089]; [93500788; 85446049]; [77193692; 69686047]; [81966847; 2390938]; [51805735; 68900215]; [5697945; 94216505]; [52378795; 60762616]; [3870001; 33135519]; [80436047; 51892157]; [76709488; 91663226]; [30429787; 72419198]; [6148933; 34841862]; [10377305; 24716906]; [98188027; 7553439]; [69402350; 18723785]; [9938605; 33993357]; [66938045; 83943570]; [67507079; 92195774]; [66436547; 34464587]; [62371014; 3086217]; [21183619; 32841541]; [64992160; 16776336]; [80304661; 50564852]; [24269695; 39175026]; [10359986; 38745092]; [35127089; 63495819]; [54410; 47910946]; [24400837; 10393662]; [60410574; 19427525]; [26474115; 30979404]; [9331042; 28020062]; [66658096; 21945475]; [80801271; 27401194]; [4442990; 17512781]; [54572365; 13390392]; [64456665; 78603079]; [30898355; 98059040]; [98562200; 78378000]; [44381221; 83500797]; [15536232; 58646222]; [22634796; 35556508]; [30699912; 89010478]; [35273588; 83032527]; [41957875; 87919955]; [74676498; 16584959]; [27954596; 53546897]; [35289584; 41798454]; [17278761; 96439229]; [37882309; 38539311]; [26527638; 82164611]; [82176827; 60122193]; [36281471; 31579470]; [5311856; 66775637]; [33978696; 19759670]; [61557447; 67591113]; [28396164; 35303335]; [80470342; 36212795]; [3864373; 54197247]; [63881882; 21113410]; [46215634; 85887194]; [16379367; 72587173]; [75204951; 53462236]; [17173523; 14093528]; [42051798; 74968953]; [68007261; 64168278]; [53341121; 72681107]; [53346519; 57200784]; [78171067; 34995075]; [4329031; 77528336]; [34371366; 66499679]; [92416271; 58788272]; [54490545; 8745976]; [14591709; 67425891]; [14514579; 84628952]; [19942364; 92825350]; [56010862; 71992061]; [17199478; 24405035]; [14208412; 71235879]; [78619745; 26773131]; [41676993; 65289251]; [1159204; 58662517]; [99729271; 7893954]; [31368793; 76986949]; [25915496; 19072296]; [52151289; 99768994]; [14505823; 7198468]; [8396929; 69991912]; [32582956; 31807581]; [1364952; 74352790]; [73204704; 42345346]; [21215862; 35593771]; [786272; 31967036]; [14656238; 95023641]; [57740637; 74024972]; [37708247; 2741869]; [97486228; 29043350]; [3540078; 22742328]; [57859239; 70790967]; [23140431; 7735898]; [2587697; 82852649]; [47981340; 17841642]; [58179359; 90214381]; [54166455; 72473350]; [24863630; 35649393]; [10137014; 12379035]; [23345608; 35867049]; [4491619; 14653531]; [25834582; 97693629]; [10917392; 64865211]; [2935425; 44987407]; [51289156; 97239001]; [56129339; 84194284]; [5984610; 82436743]; [25618659; 71536420]; [21157608; 94561922]; [58854890; 52023031]; [41166686; 3082815]; [98630632; 51981234]; [94128793; 38745304]; [40757363; 1206282]; [87772203; 57181]; [77225601; 73589490]; [44895842; 46247996]; [89617313; 95417031]; [76108787; 68653366]; [87804692; 61458826]; [12021515; 91815590]; [20636215; 97996104]; [300804; 54412120]; [77187618; 93287233]; [85400239; 35826889]; [55284241; 94661676]; [92273322; 59646385]; [27992438; 88650726]; [54636365; 28551068]; [66742935; 3135503]; [34019998; 55830221]; [41206516; 13049023]; [5974930; 26452283]; [98775527; 80184363]; [94475083; 14468837]; [60034366; 88717632]; [33106763; 17302440]; [34804299; 39495581]; [24111702; 57999966]; [43728905; 15431555]; [71400664; 90019662]; [88025069; 98765556]; [31774319; 27579964]; [44585753; 51789540]; [98292047; 29234916]; [44284720; 23934913]; [17447432; 29078203]; [88312377; 16764990]; [19655930; 94802817]; [4563278; 52446249]; [71533892; 74318365]; [76340363; 27117339]; [27645306; 38544314]; [5098323; 8928519]; [50610881; 32421271]; [44820130; 75609346]; [13254658; 47313528]; [17590671; 12673545]; [81910583; 27577666]; [39837599; 79508158]; [41672490; 90026241]; [78690679; 31604772]; [37282088; 32691016]; [16321529; 8023297]; [23964316; 87078659]; [57645736; 40968325]; [64795669; 70855771]; [15518273; 82413623]; [10269483; 59569898]; [96345479; 67002616]; [41085359; 14655520]; [58293593; 84871177]; [42073037; 52582829]; [58849990; 43531794]; [92449553; 90205776]; [88095120; 30760621]; [15927106; 50880586]; [36387918; 39387516]; [58642719; 85661275]; [63399582; 17761945]; [70714046; 25077779]; [99790813; 24140797]; [44630895; 78764844]; [86277889; 78116846]; [91052975; 31805668]; [62549211; 30234367]; [97932996; 94037425]; [40567342; 82988299]; [15217610; 60014815]; [53186184; 26890377]; [38003219; 9450866]; [65674549; 84112741]; [34916452; 41397131]; [9284755; 35930151]; [7856237; 19027658]; [58254169; 66431565]; [64510838; 91249304]; [63921209; 79510326]; [57173385; 39432694]; [64495179; 80405769]; [15307911; 28717774]; [86675205; 3620213]; [18231667; 4416011]; [98895572; 79807894]; [94167453; 85821218]; [43982997; 68911487]; [12042722; 62509772]; [30510860; 38744190]; [25957447; 71701458]; [45610337; 8868757]; [2855403; 96252340]; [39101319; 31799536]; [5343419; 38811002]; [66183028; 58968901]; [60931200; 44501356]; [91791042; 41268525]; [44400920; 63911048]; [38016235; 31125729]; [86953129; 66758656]; [36739489; 92980877]; [29212688; 76744642]; [51661253; 57570844]; [37758007; 97602995]; [29057887; 62563717]; [91449609; 56912101]; [70576837; 51766450]; [72282896; 32097066]; [34457736; 12520838]; [41067375; 14601305]; [45600998; 45467294]; [46483932; 36248602]; [32243820; 17835027]; [6342495; 89729841]; [72920890; 33465640]; [68102764; 51345393]; [13898066; 72351728]; [62002685; 8560600]; [47476926; 23678472]; [62773794; 50024987]; [62224882; 5746536]; [73262347; 62489144]; [29623973; 11293362]; [30697880; 38290588]; [30553669; 74215448]; [98539548; 68857932]; [48056746; 33200918]; [34442928; 37197303]; [13410683; 53878906]; [89599045; 66105713]; [66867224; 26937856]; [93790352; 6797494]; [9436054; 64507041]; [33621476; 66129381]; [97445543; 13958144]; [13882448; 65699874]; [94574959; 7133877]; [98039095; 34002271]; [12364855; 90556890]; [3655822; 45958127]; [84502926; 644802]; [95154311; 91934751]; [4233218; 33809870]; [32732272; 91960856]; [22617906; 14922171]; [29987068; 12825306]; [42577520; 60490957]; [47197715; 8866123]; [9741965; 33637189]; [90907723; 43353448]; [26910913; 29861806]; [74242526; 26563548]; [23402789; 21352195]; [1328185; 9302308]; [16845319; 57050741]; [4892637; 70279518]; [54328129; 45776766]; [31450696; 10544332]; [68764972; 55746712]; [97748069; 48941805]; [18191250; 84451357]; [78736777; 50190190]; [64424831; 62706477]; [84762915; 56515667]; [59457500; 2943206]; [16130004; 47830731]; [94387905; 10781836]; [14899730; 63260409]; [22779723; 67936519]; [49164117; 63433243]; [18813488; 95497109]; [47489420; 71929907]; [36568706; 22702851]; [65223034; 75975222]; [30255315; 4938140]; [14341558; 1178151]; [56320467; 53381229]; [4250533; 21627890]; [5408612; 44839843]; [21602845; 63163003]; [27334041; 44467800]; [34702130; 84041784]; [80241092; 13483261]; [65630403; 87529681]; [56104643; 71498229]; [31914731; 54420093]; [57419974; 17253231]; [14585964; 40643594]; [35584211; 88081916]; [94647628; 11437242]; [10535245; 20893996]; [77494045; 63280938]; [28323595; 49437596]; [85881869; 77956896]; [14427821; 95053781]; [91680256; 90194067]; [36386493; 71410497]; [74911770; 75568966]; [65901105; 87273538]; [55267977; 62474590]; [31696657; 72440973]; [24212957; 64282065]; [4048214; 35654546]; [14539551; 38365302]; [39587515; 61398190]; [90576509; 12147096]; [61846116; 62472289]; [12994969; 23622268]; [94888684; 49815873]; [65524026; 12507864]; [22178670; 75023506]; [13130637; 34456507]; [28100244; 57202552]; [49812265; 12591280]; [47239685; 83680792]; [50731240; 76446477]; [48228259; 48970106]; [20357017; 34136595]; [61927577; 73155011]; [42874109; 26325923]; [33910112; 56332532]; [72728112; 7395854]; [9403177; 48489925]; [68820580; 81727112]; [77605376; 12843106]; [4601977; 14489758]; [25537211; 98797357]; [16235617; 67771604]; [65879028; 19465587]; [27936831; 22335899]; [18067053; 34984572]; [74113530; 95501273]; [68655385; 37054004]; [14188309; 97103560]; [89546805; 11934124]; [51634515; 49341069]; [71882076; 23822612]; [78666166; 56613815]; [71161744; 46323780]; [76199855; 40276106]; [38327514; 89369688]; [14211413; 52101426]; [23399655; 8551539]; [93448606; 61408787]; [90485388; 76867972]; [73903476; 72974996]; [11220710; 14279338]; [62957232; 9801134]; [64722319; 55005267]; [21492213; 22697974]; [39373017; 14905647]; [73335665; 37654557]; [63495558; 20767230]; [11709019; 88111059]; [99697819; 4258150]; [1450803; 92388068]; [54665341; 66301228]; [62110871; 58382922]; [51822742; 84966532]; [69543134; 31683883]; [41311299; 34954538]; [90006717; 33941026]; [12507564; 93364853]; [24239902; 6022585]; [67707184; 263314]; [41460761; 23010959]; [3193018; 83496404]; [4932021; 9171209]; [4672163; 49846485]; [6670620; 65163826]; [17229956; 29853719]; [81932510; 1530596]; [73096943; 76789799]; [76055022; 6231291]; [17771056; 76121429]; [68614476; 58533410]; [54974720; 15486407]; [59730469; 37211388]; [96364737; 42362491]; [28087702; 85029554]; [57720859; 9200826]; [51529244; 13479313]; [266853; 80264063]; [63068396; 76029840]; [60385906; 49051993]; [61213097; 81246213]; [13912949; 79442583]; [42537528; 13400135]; [29360853; 70147752]; [75607790; 83543422]; [6742385; 95327080]; [74542986; 72073318]; [65865974; 63320299]; [1997374; 96746942]; [101952; 30443322]; [68645301; 71541156]; [67144160; 18663382]; [78010783; 83489667]; [5262672; 7283713]; [16214377; 78957697]; [52841592; 86864300]; [27706513; 47612772]; [52749129; 22886641]; [17221827; 86864390]; [61599529; 51318616]; [31677183; 30768868]; [19624493; 22423404]; [96555774; 30965514]; [567506; 32030065]; [39026525; 93565114]; [9338355; 99984696]; [84732442; 2530]; [96674097; 55842557]; [66981135; 25705312]; [5862752; 53247996]; [73781047; 7604067]; [17177446; 92324310]; [14250410; 52206881]; [70075905; 40771773]; [35187307; 39338993]; [7483514; 33148811]; [72814120; 987286]; [3509180; 6272458]; [6320674; 25319054]; [44396849; 17393421]; [77887225; 14439981]; [21312312; 81166146]; [66732064; 70883009]; [51116218; 49342441]; [10917818; 28926668]; [4008890; 21820831]; [42959566; 95330458]; [75590307; 13929353]; [11087296; 95615486]; [64009083; 47576313]; [88702663; 15264346]; [9411425; 66784544]; [30647686; 4908740]; [20717836; 35361989]; [63682362; 46458728]; [77926032; 60694744]; [34621320; 38705530]; [49810387; 95253641]; [8338109; 5542697]; [92590459; 31158779]; [8638981; 77895360]; [11246345; 52558927]; [30212778; 5494221]; [14634044; 52254945]; [1966693; 58122362]; [81941600; 55555083]; [60130630; 25773188]; [27498152; 77543889]; [99549084; 7077660]; [33415235; 61666332]; [80722563; 63112937]; [81979729; 65623411]; [43819952; 63059243]; [56972096; 40485641]; [84913152; 28424832]; [81293128; 47142451]; [62857489; 91250698]; [5632093; 82630423]; [59964513; 32195644]; [14650935; 12099785]; [12715412; 4912406]; [8493007; 80431589]; [98333608; 74812312]; [57052012; 36372812]; [77998518; 53485256]; [82798911; 91490616]; [16032653; 53585713]; [49555518; 95616553]; [4247240; 18123324]; [55113574; 21300941]; [10824027; 96790885]; [78654283; 80896124]; [23758684; 98381744]; [6265241; 30946701]; [87121097; 8754037]; [39838699; 38233107]; [4160057; 97148892]; [54818179; 47842756]; [7425589; 17201607]; [34324832; 46159332]; [14072858; 4865716]; [27958851; 86517162]; [64995602; 46428817]; [43526091; 34947801]; [92111041; 58492076]; [2596474; 55689223]; [55685419; 25772367]; [38867863; 21538097]; [92461340; 85027997]; [47647736; 25572100]; [84453776; 47042293]; [24790930; 12658413]; [75902901; 98623080]; [25648139; 97358511]; [17611498; 21059251]; [71640506; 10395305]; [21527981; 62340764]; [899205; 64571052]; [90099106; 8987532]; [67203826; 72104440]; [39027643; 45342863]; [36035672; 15882482]; [85694142; 69686855]; [76053858; 62301136]; [30662499; 47535877]; [17690326; 80848546]; [15213209; 5912478]; [83354183; 63183868]; [92494424; 63597834]; [98545374; 22700566]; [20002837; 66757658]; [15622193; 90955680]; [27025281; 56093585]; [48104673; 91193607]; [6945804; 47545590]; [63981676; 66381253]; [80682051; 53991923]; [55759149; 39022266]; [18699187; 80981842]; [97418822; 63747677]; [49105045; 21417385]; [54967991; 86849527]; [2511515; 95447016]; [27757650; 87307733]; [72449893; 23570545]; [87333863; 64432847]; [43950806; 48726723]; [55844235; 71248129]; [12440847; 96804406]; [71408065; 71945185]; [72691090; 90215470]; [66552109; 61022088]; [97565146; 35801867]; [31951591; 10934952]; [59668031; 98748694]; [41835746; 93140131]; [19003606; 68840353]; [90216322; 43610482]; [9923560; 78008752]; [7129396; 36796541]; [21764942; 65333478]; [98101602; 33206178]; [56965138; 35545173]; [98304639; 25371404]; [95401559; 10008547]; [73090096; 72336545]; [26065616; 3005261]; [42627848; 98155062]; [6425579; 32611208]; [57758249; 23259476]; [90850857; 59973356]; [1103507; 99623695]; [45481202; 59494829]; [98205623; 61015659]; [474098; 2539565]; [94998773; 91515438]; [29843299; 705508]; [28630010; 79709851]; [20604045; 60870706]; [76668742; 4388345]; [33252471; 69332540]; [40830265; 7496747]; [3653999; 88942157]; [67777506; 43222229]; [36130017; 98545177]; [46034084; 78186177]; [99268378; 17403107]; [59507245; 49973958]; [50860780; 68936467]; [14707480; 96538406]; [659795; 99139405]; [11038307; 38857938]; [76695839; 19537081]; [89718396; 63262754]; [82603567; 55802633]; [53120926; 21901841]; [96185324; 67634026]; [35510467; 80379656]; [63639975; 70682349]; [64049265; 95498127]; [59476808; 55846200]; [71604408; 37836075]; [2023701; 59328706]; [88152515; 76776786]; [2670840; 39663138]; [28247884; 30023701]; [28236431; 12821534]; [96156601; 29578875]; [45511213; 90963608]; [10469031; 97281350]; [45154156; 95663403]; [6447395; 32344258]; [94728970; 91352795]; [31187927; 56822061]; [85546688; 46679629]; [6918120; 88360816]; [19564154; 51432305]; [85122340; 76653537]; [10670137; 47118365]; [65742679; 49237577]; [67430958; 57311890]; [44310284; 74527972]; [68340842; 6649992]; [87943602; 61726019]; [20358506; 37692123]; [11877413; 89351874]; [62103997; 89924328]; [99591888; 11504610]; [65194976; 67619040]; [49572321; 16876704]; [57382001; 31313558]; [69654719; 79676101]; [43967096; 82764772]; [51913795; 63680707]; [14355017; 79073565]; [6314842; 37136549]; [82337972; 25860317]; [46396490; 11552401]; [87614535; 72938396]; [31161472; 97060555]; [78302410; 42690052]; [49263580; 49368484]; [12273304; 68331839]; [15338524; 36815690]; [60443380; 20596422]; [21488496; 19630133]; [62137370; 17019963]; [80897910; 92186892]; [24221388; 20964961]; [58395200; 50126813]; [92452791; 11986784]; [4628734; 96645480]; [29999299; 646833]; [22504353; 38879512]; [67411106; 99287541]; [74005641; 8421792]; [32414904; 38200599]; [74288630; 17711786]; [60941439; 80584926]; [79384892; 57502742]; [71575758; 9585357]; [42447009; 8938696]; [2524416; 98038474]; [3619719; 62282141]; [31973254; 35129685]; [93873403; 56392036]; [47563625; 43486992]; [50182213; 90424589]; [96826029; 82131471]; [96654; 40215048]; [53182086; 55580184]; [98273222; 6371534]; [40328528; 40030573]; [29564780; 9163463]; [18704541; 54570737]; [90728592; 64846063]; [40950457; 47455091]; [40514065; 7289527]; [10989847; 49490436]; [71751639; 43874211]; [66267444; 52808980]; [92444974; 74393684]; [78609367; 79323405]; [19725173; 98742685]; [10463699; 44813273]; [36736174; 15947049]; [5426969; 45231870]; [3879324; 34100194]; [33559372; 36916179]; [99127823; 54253646]; [5208953; 26487274]; [77453004; 58853166]; [12938590; 96522867]; [44791513; 36093604]; [53016216; 97606926]; [36694349; 18657999]; [48541696; 34013262]; [72373195; 45296231]; [93428912; 79452907]; [74099742; 46525727]; [99787289; 23221967]; [47989463; 64696614]; [86398367; 63718245]; [26084675; 81567284]; [89350406; 13756971]; [14237731; 51649634]; [53130285; 70732881]; [19787686; 88147269]; [72768054; 43579835]; [90220217; 382412]; [77168587; 95509882]; [10899888; 47048412]; [39220851; 78805992]; [13503387; 10397813]; [11880184; 23037295]; [47641505; 39266745]; [23114578; 32795807]; [51302010; 47408397]; [93379721; 57687582]; [27220513; 97528299]; [41410705; 97207497]; [14493437; 8118711]; [51418923; 32750599]; [81403611; 5593940]; [91150214; 22713898]; [41663878; 74010304]; [76221601; 8028438]; [43702641; 3329916]; [4694451; 75451688]; [54252830; 88868025]; [83795693; 56165807]; [49412062; 43976572]; [36736450; 33514179]; [98764324; 56138546]; [88229467; 84780983]; [30103692; 38749672]; [21290724; 63328221]; [93792951; 70576792]; [662198; 85714352]; [85284991; 42451345]; [68356792; 97537339]; [19496104; 46074042]; [57150097; 45192117]; [99229380; 43891265]; [34283329; 65211739]; [25641803; 90843127]; [95249807; 58355721]; [21136127; 74695408]; [79630531; 2543573]; [72888481; 21607523]; [11468852; 18195479]; [8264323; 44673626]; [61268984; 63680079]; [89135344; 59015762]; [55491713; 42886172]; [61844402; 91761191]; [83946297; 49749032]; [17468829; 18026759]; [75203232; 67260517]; [17341269; 26909837]; [2797791; 80179757]; [53141346; 42063706]; [1443674; 61709906]; [84311792; 23433796]; [93242627; 2537887]; [71894116; 62788879]; [69735594; 12456981]; [50140339; 62836646]; [50282264; 99527362]; [57008560; 58644562]; [65969103; 46695286]; [83252327; 75498485]; [43044481; 11768731]; [40399773; 42834088]; [61311057; 37100382]; [19580942; 97129597]; [17371127; 38139161]; [52828591; 43975974]; [80687951; 26927076]; [36403821; 27422826]; [77499981; 37239778]; [37473326; 30479306]; [20560700; 72090372]; [95735068; 51765137]; [58950645; 12781350]; [86700653; 6203684]; [56484906; 89067445]; [37848132; 74917902]; [30464756; 27268742]; [57622518; 34204767]; [45482384; 12706369]; [85282205; 54549753]; [36733499; 63133019]; [88243024; 53270741]; [99263385; 60578118]; [89953537; 8109845]; [26467270; 53842629]; [87631628; 10283334]; [89557032; 25538722]; [26581372; 21681844]; [79509104; 13533556]; [83391360; 73818380]; [7806314; 64081319]; [96697865; 55330036]; [8813845; 39505111]; [7452928; 61166210]; [33389591; 16121017]; [57883324; 44097696]; [46581008; 85679409]; [72319776; 30376349]; [29258964; 99188625]; [6804465; 27861951]; [12370482; 53151458]; [55193348; 82230328]; [24387620; 84376302]; [71894249; 22351154]; [89588961; 80023675]; [42826749; 84361398]; [43308904; 48044710]; [21034943; 38021641]; [28476332; 20285839]; [43843411; 12903972]; [80424607; 87007260]; [3406944; 54277344]; [87127897; 28036869]; [21655186; 90706786]; [75044126; 72604081]; [23825548; 16770688]; [85412300; 96927305]; [96837489; 48546529]; [81467201; 12375751]; [98643673; 45041059]; [35045470; 33616992]; [32041009; 57853854]; [979554; 16334858]; [24428502; 7538345]; [14126599; 9251937]; [44558044; 98818306]; [22918209; 97062500]; [97155251; 68626292]; [91728998; 9764369]; [90739171; 5505892]; [3471221; 65026153]; [84297266; 47845638]; [83380135; 70564584]; [30587006; 67653849]; [18860653; 44056022]; [97267334; 60149049]; [88158402; 40870993]; [7354276; 85030251]; [66524494; 292980]; [11490462; 95243481]; [25254042; 4810715]; [35021234; 87272042]; [8987992; 32396185]; [81881723; 57192241]; [65329885; 23646907]; [60509509; 57067322]; [46535812; 8022174]; [57080554; 84114309]; [78011397; 74281786]; [91102155; 66126949]; [88897539; 1706778]; [28790207; 43577061]; [74601661; 99791718]; [58638954; 48387205]; [2278500; 4446839]; [21381723; 31370844]; [89248437; 41390128]; [64583685; 31024362]; [23003270; 49821204]; [94362684; 36921176]; [40227446; 67794890]; [48173291; 67513515]; [50498451; 16555374]; [90139546; 53832461]; [23439287; 54943544]; [41001479; 97473018]; [16009371; 24458821]; [71923530; 6267948]; [20248388; 94777556]; [34184213; 21092109]; [21608132; 31734275]; [97175788; 38956120]; [23949450; 12012208]; [25708780; 80518535]; [50753902; 6576898]; [60667420; 42946770]; [7293510; 60910419]; [86081222; 66236447]; [72180580; 16501648]; [98253728; 61946704]; [30408666; 57133829]; [16387849; 88282232]; [35126581; 26385001]; [46834243; 64502317]; [59026242; 46414737]; [29282292; 74210364]; [4575694; 54417696]; [8768299; 25753893]; [59852412; 87657766]; [50406230; 57551924]; [92093891; 99246400]; [54349456; 81111546]; [92422427; 28227532]; [12701464; 27581785]; [65074126; 27652955]; [82655236; 76025289]; [308057; 66118826]; [10053144; 96474788]; [39630492; 58304633]; [5808033; 94835878]; [92890578; 97669688]; [83612346; 41144313]; [71303994; 56672426]; [61032144; 2081702]; [86648643; 8614865]; [23185984; 99316540]; [65476658; 39574732]; [58023761; 14545440]; [25658416; 52754295]; [70932377; 49232580]; [87023928; 3095790]; [59698487; 53069581]; [66571419; 55864585]; [51987614; 22758313]; [5933003; 24546742]; [13140716; 27693333]; [78782068; 61856637]; [19395803; 56086670]; [35885997; 63272270]; [76369833; 56849269]; [38717726; 57362458]; [86447157; 34215468]; [22356687; 45497991]; [24616556; 19899285]; [13862717; 74338851]; [82530488; 76817740]; [13737897; 44261025]; [80568546; 84381543]; [71480296; 98352856]; [94282122; 9692992]; [6237127; 64690837]; [74406780; 54125354]; [28782682; 15326161]; [80099270; 64817097]; [72408042; 59770458]; [73279485; 3355410]; [43701050; 99918780]; [51057913; 472415]; [87118525; 97655745]; [71547301; 35278499]; [12639245; 66709007]; [67019097; 92618480]; [2402416; 28413559]; [32221964; 78508539]; [32116924; 24170722]; [61136709; 61301236]; [80891291; 18267056]; [24005604; 12926512]; [99517633; 36671176]; [42912157; 39283933]; [76766728; 90525484]; [67428692; 55646131]; [35964787; 13047469]; [18319500; 82472414]; [59395332; 77679066]; [97779138; 81794126]; [90319164; 4019230]; [5195522; 84168245]; [88694644; 37116979]; [60413896; 81888661]; [42627955; 28229647]; [10482795; 40528647]; [86569535; 37817706]; [18570520; 53787951]; [34052231; 59250903]; [81395390; 51951483]; [17333105; 6146090]; [72968121; 54285573]; [92914901; 33660950]; [45019444; 94251148]; [64063210; 15706368]; [87838308; 68287785]; [12474260; 95832296]; [76549551; 79287104]; [92413425; 20169350]; [42399365; 83272787]; [41995347; 99048775]; [14365783; 40117146]; [13872536; 74135566]; [68831926; 34896797]; [1217296; 43318863]; [85059355; 31029653]; [97963796; 60255630]; [97956656; 93964838]; [33737761; 85484430]; [32120094; 94294380]; [1181535; 41533973]; [93953896; 85018171]; [34051061; 98941211]; [87015205; 64106986]; [5737407; 20776873]; [22938637; 49802005]; [90803008; 83747749]; [85404739; 38997355]; [84406620; 40481290]; [75306106; 32084284]; [19583734; 40216060]; [67289875; 22734448]; [30757752; 41310354]; [57699323; 61873907]; [72290159; 91209895]; [39540398; 60591240]; [74237813; 80435100]; [33756184; 20236666]; [56011906; 43065089]; [38921332; 87137339]; [67714630; 65763277]; [22804634; 55429339]; [63646543; 95459104]; [18512027; 99790245]; [46504596; 30813591]; [97086668; 62373675]; [24525802; 7663377]; [43319272; 63882617]; [54737084; 57972913]; [80606507; 93301055]; [93721165; 27185787]; [4567712; 35975701]; [43210362; 62653938]; [26155375; 96695677]; [84715701; 48773150]; [21895783; 86231617]; [19280334; 86566340]; [27815078; 73102453]; [64338113; 29886304]; [16783634; 22823259]; [77178379; 13519433]; [40110048; 21802829]; [61086556; 88235514]; [98266194; 52369674]; [48411585; 73112262]; [40513949; 41160158]; [60978620; 56877824]; [83695826; 24740841]; [82510255; 997473]; [64109595; 85453530]; [83488213; 31953169]; [59421844; 39014209]; [9141685; 72541035]; [19997760; 71806941]; [38777700; 64996644]; [14216616; 95457969]; [8300040; 65257147]; [79750941; 34403227]; [42130636; 11390625]; [17190865; 8055683]; [60581363; 83311807]; [7096063; 35988306]; [92521287; 36376264]; [87790380; 73849269]; [5104181; 19491744]; [64286670; 52503992]; [74975221; 80539917]; [75613793; 38724204]; [3788594; 82313515]; [1922896; 59411160]; [79654493; 59973362]; [84939945; 79358067]; [45868363; 96284312]; [97365605; 82598591]; [89516193; 43140478]; [30616682; 94046308]; [72454587; 52629260]; [6159146; 67572941]; [97916399; 27846011]; [70691186; 90928415]; [52353146; 76678903]; [58105750; 71992215]; [60765931; 22720094]; [63674601; 23491637]; [98931915; 85977890]; [83417821; 16134739]; [13409232; 33033206]; [9134229; 53529251]; [3529533; 64168597]; [41151056; 1344427]; [74667249; 87638211]; [78512598; 62960547]; [73014486; 24235108]; [45174758; 7683598]; [57997624; 94431564]; [96622006; 84749989]; [3013481; 77150880]; [48459373; 3163891]; [14206529; 31153060]; [73660738; 56323546]; [85525470; 81007282]; [16805642; 60781958]; [77044067; 40275450]; [81731314; 67385553]; [96352398; 20029704]; [35759789; 97002663]; [28228472; 25350372]; [37256920; 50077675]; [22720464; 29376542]; [71494954; 72405784]; [74086473; 684642]; [50262294; 48848855]; [65651339; 46432169]; [12690217; 71349198]; [75357443; 40123163]; [68068898; 53490732]; [5563654; 44966704]; [72396896; 20856276]; [69943433; 56683379]; [75981554; 46272980]; [34268610; 81929414]; [22763913; 48696535]; [17375366; 56796696]; [43717312; 76833214]; [17612918; 52784194]; [92586753; 99168516]; [62759950; 30174100]; [70971924; 11138341]; [31869388; 94269907]; [38296133; 59042485]; [4663782; 49530847]; [37740588; 62765886]; [19792308; 84899337]; [45447052; 18925430]; [52032410; 23924522]; [41447322; 1141878]; [63551650; 90922592]; [52872134; 73984081]; [3796395; 84302180]; [15060886; 92993384]; [98178768; 83066307]; [80983730; 56191953]; [46140826; 31275915]; [75903154; 61116696]; [42255453; 19879262]; [82127924; 22799263]; [96653140; 32620621]; [30356747; 75912587]; [73041; 93705147]; [74669234; 18331347]; [98767112; 42220163]; [84622122; 26677086]; [21604231; 97679975]; [50447710; 55898465]; [17467992; 88960668]; [94814578; 19953851]; [37805454; 7086149]; [37534879; 52899015]; [48948571; 58982153]; [24854360; 63929060]; [33330529; 58538081]; [7097757; 61850593]; [80026306; 40751385]; [50504594; 63071289]; [65121465; 50342904]; [60975028; 16180040]; [56124707; 29423980]; [35375906; 44863282]; [19427186; 18293257]; [36368731; 95193769]; [30570222; 34730615]; [19754285; 88122104]; [19501364; 35838884]; [90584537; 44754493]; [47303470; 51609185]; [83243734; 71680656]; [61482173; 55160718]; [81641276; 42972954]; [13958289; 83732146]; [9895134; 54878649]; [12147192; 69495175]; [74902597; 32275625]; [85991031; 10569246]; [11767301; 60712140]; [11039452; 91464906]; [26930991; 2815862]; [79840056; 31674549]; [41955711; 29134461]; [33775345; 46721516]; [26630014; 66788103]; [57068889; 77787337]; [80574051; 42296168]; [6299845; 18809075]; [82948865; 4316934]; [29006720; 66307493]; [73201102; 67176667]; [93129899; 56930017]; [49870307; 45264964]; [99157016; 92387411]; [57010445; 2234609]; [87471595; 78525251]; [29941112; 6279795]; [66924215; 32289130]; [80706783; 71711082]; [58240202; 50983578]; [5251845; 61220043]; [79531998; 78529337]; [2104656; 26134363]; [74952572; 32848552]; [85912059; 91737123]; [59892988; 70263754]; [95840017; 8857257]; [20122373; 18267502]; [11717699; 83571720]; [78486610; 70529928]; [31744296; 79671555]; [55449337; 61741081]; [40847436; 77478944]; [91741183; 46720553]; [87703131; 1128240]; [81898682; 63019407]; [50220240; 19614745]; [47093230; 71175765]; [45113972; 30122159]; [17848991; 71177902]; [54942317; 83360059]; [147432; 61411066]; [10795905; 17133644]; [84649769; 90351708]; [92900403; 21933738]; [17742599; 62658525]; [54319929; 60942531]; [47895143; 35530352]; [83428375; 58968719]; [93505103; 67013505]; [15229855; 68025305]; [74275041; 15131430]; [253304; 2055200]; [71888058; 45543645]; [15056877; 31377226]; [64687582; 65123491]; [99929708; 14681180]; [53471887; 14758656]; [98302991; 87614546]; [66042600; 15904100]; [88757760; 242918]; [15823925; 69044736]; [8520061; 96134119]; [49319711; 71153222]; [69938677; 82561361]; [23767678; 5386029]; [21874807; 36624396]; [66968739; 72955320]; [31609706; 36816936]; [72628579; 39815208]; [64414473; 60541537]; [34274686; 24824633]; [53164028; 85869628]; [98539706; 43938554]; [21477655; 99815206]; [35755695; 65659956]; [66780493; 21740311]; [21712142; 72461142]; [47068895; 58570992]; [6222595; 78818196]; [85585781; 19640902]; [51748684; 50839525]; [78531404; 9129597]; [34242016; 70587867]; [14997912; 61827385]; [75546538; 89610743]; [47380548; 34036456]; [76626549; 96408318]; [90120791; 20819739]; [3206428; 11060069]; [82847628; 74034484]; [28731077; 2421148]; [12738128; 22218222]; [62910631; 43484183]; [75149630; 68079908]; [36346179; 87593593]; [90277639; 98189298]; [39590767; 95026161]; [34328820; 6586837]; [54484921; 22094227]; [95673144; 12657933]; [14970058; 79488855]; [83475477; 79042729]; [71135965; 11158649]; [66713359; 76162643]; [84214793; 510119]; [54680704; 83605245]; [64835757; 53564373]; [51151004; 85549832]; [41634410; 3019541]; [22674050; 158586]; [797991; 22472613]; [3446926; 27635382]; [81559465; 44254470]; [52019038; 26408599]; [4908858; 12233778]; [24149644; 1513556]; [6264405; 51674721]; [61860807; 20348260]; [38529747; 12547342]; [84877991; 3752034]; [65379691; 17090602]; [34707382; 87923642]; [10890005; 35600155]; [82727955; 80358072]; [76159013; 98449532]; [93387564; 85404863]; [36049096; 20229586]; [4581312; 42459763]; [7495512; 61794495]; [86735293; 7754385]; [3890486; 92055928]; [60398377; 25906025]; [10917678; 14065490]; [70589465; 48225945]; [738141; 3797157]; [89281630; 35021185]; [98005592; 99436332]; [36997993; 37259703]; [10585909; 51880998]; [82954356; 62736610]; [10563812; 1788739]; [62901231; 34461770]; [21567851; 81297577]; [94610351; 34909149]; [22215543; 38727119]; [30900045; 64545751]; [36452087; 40861978]; [57365439; 26468311]; [36108763; 22863550]; [91346953; 38422238]; [14909384; 85451431]; [72501917; 39710160]; [8850914; 35359097]; [65833141; 14638355]; [32315204; 1974142]; [70326866; 57999436]; [89989151; 30947236]; [72709645; 57753372]; [81079179; 27275363]; [57236867; 51293940]; [71154920; 17634924]; [89311051; 97567079]; [32177349; 19576402]; [48818492; 23857247]; [48884932; 81089721]; [552051; 24418115]; [86775412; 27053417]; [58969612; 21773755]; [63954358; 43257732]; [298825; 21470297]; [6728149; 88452184]; [95833781; 89164073]; [51471809; 96751906]; [26065953; 59613550]; [22259838; 5080817]; [47140667; 65829644]; [36022005; 13465001]; [32261616; 95732892]; [4133537; 70740961]; [39268832; 52579172]; [67293803; 66015393]; [89841284; 84736455]; [79650102; 59331427]; [45954257; 94230012]; [53226076; 13454044]; [49284905; 638326]; [55043190; 24744033]; [70993063; 67660778]; [85615326; 15432941]; [83656084; 83753433]; [33134384; 51618967]; [5462641; 11074824]; [34367555; 7084739]; [33661688; 8721859]; [30753431; 50535672]; [60792698; 94212653]; [51329267; 37305291]; [76507630; 25541649]; [76064089; 56543200]; [56477220; 31090536]; [70995931; 60702216]; [76395286; 89894768]; [52319233; 597798]; [39182941; 35187880]; [25820004; 68764908]; [93752620; 68852847]; [16899047; 60566340]; [76303296; 63236431]; [55932571; 81111503]; [66058427; 52682380]; [4159896; 93643366]; [77226237; 4381640]; [47139304; 55228062]; [10656152; 60373862]; [83134648; 44983127]; [19986198; 19163449]; [53378959; 14863632]; [30527785; 7103604]; [3867955; 77330507]; [5825675; 77940038]; [77889916; 88510657]; [39890570; 94145293]; [85027225; 6627750]; [65886380; 81984235]; [21632572; 35486835]; [11543238; 70423480]; [30597430; 73387624]; [14444435; 26286356]; [71371732; 64151585]; [3871249; 10467706]; [79666619; 66000685]; [78847422; 45497047]; [80500188; 96488493]; [91280666; 30848513]; [71781781; 37633819]; [24100948; 70871503]; [10023230; 26691577]; [13554704; 85708616]; [6125649; 76434821]; [70204773; 92618918]; [10271794; 22681796]; [3850037; 94242279]; [11932993; 48839828]; [63182668; 83802757]; [61862860; 94186909]; [19988230; 10056317]; [49628018; 25759522]; [12063547; 39691071]; [27402301; 52951478]; [9679497; 10319609]; [18281691; 56247255]; [44100655; 49816723]; [13742872; 45786666]; [18300727; 55361732]; [79902711; 59835336]; [9597565; 10825045]; [88789297; 22009129]; [66236755; 80844298]; [23999954; 76603862]; [57022479; 27557463]; [83219594; 68928398]; [47206470; 82991928]; [23113023; 98529883]; [11700476; 75430527]; [7021026; 88972806]; [86119387; 7095648]; [30266346; 49130989]; [28106936; 99475082]; [6111045; 49748480]; [71823024; 73590172]; [23237338; 74244511]; [21758392; 34304027]; [62475854; 2233900]; [50983343; 37796263]; [74405170; 18032024]; [66435478; 77412525]; [1433368; 90496215]; [51133276; 90583552]; [60838064; 34924547]; [23997669; 73716729]; [47202523; 73803808]; [39402643; 82903622]; [38843607; 20871151]; [77038227; 49871619]; [28720121; 26630543]; [7163793; 33580644]; [52557472; 20779969]; [665717; 57180611]; [16769899; 54734873]; [5182821; 35839887]; [96167578; 92989045]; [35836298; 3829197]; [59156377; 43992056]; [85451172; 4521492]; [47156960; 36614759]; [59316284; 49343377]; [38047118; 2253896]; [45166651; 74455004]; [52945327; 80777433]; [59610560; 83488021]; [67155363; 86220600]; [1249945; 87027441]; [67050477; 12052767]; [10746983; 443146]; [77828957; 61731249]; [79903925; 71641193]; [13910231; 47828410]; [51815961; 9089099]; [47278145; 92730774]; [71872264; 71218619]; [22947738; 98287655]; [92404904; 47358689]; [45502683; 44105926]; [75825422; 53474989]; [44753773; 52516125]; [1537830; 79881977]; [44089798; 55127921]; [6786031; 57717402]; [44017369; 25689570]; [50755138; 53482670]; [32590789; 26765338]; [67265057; 55168333]; [51245961; 49946422]; [91387612; 14224872]; [37660019; 8287683]; [97481821; 35745921]; [4534085; 2451146]; [16708387; 63568861]; [66172592; 89613305]; [48745190; 63234794]; [40181715; 94741522]; [10945964; 41283430]; [2041314; 11908020]; [83659421; 22790095]; [66286252; 29336488]; [56604520; 76147372]; [63662749; 32692371]; [52187285; 41888411]; [47335182; 95337650]; [87233738; 37956104]; [94463345; 81080374]; [30072284; 16288834]; [41982966; 45289035]; [49596263; 60362640]; [95302546; 24607694]; [82461150; 86331156]; [24759759; 4354925]; [61106732; 97707586]; [54496514; 78421411]; [40243575; 42417282]; [72622907; 9747775]; [22280746; 46291009]; [1808154; 3536144]; [11759984; 58901285]; [15763254; 85921528]; [65501910; 80155136]; [86454464; 16910079]; [5266187; 58997046]; [30272707; 83407987]; [96779300; 7770505]; [21079839; 39916212]; [46890307; 35858665]; [1048531; 64547191]; [7800707; 91631899]; [20933042; 76519353]; [82389920; 84502091]; [75490806; 68888723]; [57797815; 39435970]; [48952024; 42594702]; [27317889; 97942406]; [66304376; 22861010]; [14538421; 94404516]; [68617057; 88807619]; [99238069; 47214786]; [85248796; 69967490]; [97448390; 42494248]; [48286254; 91329461]; [10282568; 34951922]; [21838185; 4151551]; [10531497; 6378887]; [61650773; 32944827]; [89523588; 39590023]; [77924715; 47486691]; [5454033; 13216484]; [62259041; 93432100]; [79199721; 17194864]; [48454079; 44384860]; [42405851; 35173116]; [48574779; 62927298]; [55452125; 98646308]; [46719777; 30479824]; [70259156; 28214740]; [90087871; 52443300]; [78358778; 28723081]; [12581794; 78812066]; [13705145; 84991632]; [35482992; 582234]; [48852350; 66483172]; [73670173; 27310703]; [8894896; 3481220]; [35432068; 63699368]; [29989509; 44471243]; [14536729; 33357288]; [8870214; 2302087]; [28797029; 70432057]; [5741282; 1745656]; [43969361; 35998649]; [97300934; 32193282]; [77094273; 41754583]; [18359955; 74439528]; [16736825; 16896407]; [74432541; 90922061]; [37827418; 19401881]; [76073085; 38938524]; [74763264; 77962379]; [22382798; 51745654]; [36242253; 15017207]; [98870263; 69758052]; [46008009; 39250166]; [76639906; 61277551]; [40389364; 53823778]; [80935427; 65989615]; [33658226; 98287253]; [80250714; 18557033]; [96996003; 15891232]; [86128601; 51797545]; [33856962; 25808625]; [9165281; 69410011]; [57787011; 8371895]; [56332290; 25978687]; [88575549; 79443411]; [21362321; 34655323]; [83838557; 4714549]; [16125878; 11208080]; [77876830; 70262830]; [83903617; 70676270]; [53708137; 27036763]; [82697004; 93304932]; [93927270; 17081871]; [29739687; 28984321]; [49693815; 211395]; [96509937; 98921299]; [58283881; 78663603]; [61448274; 23372704]; [56972731; 23075511]; [60253297; 53847356]; [4348987; 36725285]; [30566450; 12714183]; [97976080; 70152558]; [23547292; 87324790]; [46316929; 86786307]; [64205703; 15095148]; [64561230; 11629470]; [44758131; 8839839]; [77153531; 82563440]; [62294949; 73510893]; [71569853; 15077288]; [44974683; 80512150]; [19758718; 73682728]; [87044285; 28603220]; [48690013; 91573101]; [69702152; 53183231]; [23846986; 68441693]; [71561639; 75004042]; [47827993; 41697652]; [95048043; 60987801]; [99771411; 16397438]; [67047886; 80023147]; [18779477; 98849981]; [59679090; 59366431]; [22571359; 3864847]; [19767042; 20725388]; [76127780; 78461615]; [16185221; 56157681]; [69771857; 17930925]; [92744276; 99779455]; [95990927; 36468221]; [49897913; 18098795]; [74386518; 6186852]; [99419412; 41890511]; [48256082; 28788666]; [49789360; 30044171]; [56734294; 68387652]; [40501236; 88078088]; [19817046; 18982634]; [20332810; 20704406]; [86429520; 89790093]; [97920226; 80598485]; [82505929; 81316827]; [62033943; 88025789]; [8234660; 71574596]; [90753996; 6906541]; [49273662; 44028506]; [93679099; 12464644]; [58413369; 85866522]; [30419297; 33142351]; [57404670; 59542282]; [45421732; 40695474]; [50573555; 35153871]; [64017528; 48557988]; [19536967; 50638743]; [29782953; 83505502]; [47693746; 75267415]; [9882286; 71555968]; [980497; 62340752]; [72578001; 56860424]; [90795862; 39427191]; [80266474; 42915177]; [61438857; 88500670]; [11792252; 89735024]; [59631437; 62605852]; [83142546; 29077345]; [79286548; 84170298]; [31955033; 80168151]; [35507460; 53107158]; [89484738; 16450138]; [67769123; 77088254]; [17015800; 82688719]; [28114528; 86931152]; [97918423; 73942300]; [59095888; 71117653]; [4864949; 86157679]; [16543700; 42956307]; [4971781; 36698885]; [90528951; 60640553]; [10153745; 81932104]; [50383037; 16891255]; [95110464; 29950004]; [13850662; 47083877]; [76605753; 61065498]; [91298512; 14259908]; [27595484; 51881824]; [697761; 92385485]; [73112824; 49898311]; [49503226; 88921920]; [2956094; 44719157]; [53188876; 73927128]; [35527108; 80617803]; [37402602; 30745633]; [18996628; 91629495]; [18362111; 32471761]; [98879299; 96225735]; [57363512; 80499269]; [21981340; 11801707]; [88095558; 20381490]; [48664860; 51007359]; [77528489; 57419103]; [18455673; 58249079]; [67070648; 9773309]; [55329377; 40903507]; [57603580; 26855929]; [71615763; 19548952]; [57888053; 39015992]; [72394199; 19594306]; [92085877; 79098957]; [66131210; 67039383]; [80539722; 75424999]; [21931829; 7349808]; [41909569; 18475458]; [95791083; 73986103]; [51261406; 98005048]; [38702126; 86939888]; [74753730; 68804051]; [63181301; 71660282]; [41975711; 23171557]; [80416283; 22035080]; [85222849; 2266967]; [33964110; 9110229]; [93617297; 44905525]; [81928336; 28202784]; [74645330; 96335599]; [14977875; 84578527]; [67883075; 59587913]; [4761738; 70501128]; [160114; 18537298]; [70266967; 83680998]; [58347216; 2653936]; [72058179; 48450]; [69003117; 66997954]; [48152822; 48864343]; [78177107; 73824657]; [35908076; 29711963]; [33754459; 70279513]; [50233334; 62256001]; [74069648; 41892906]; [75876149; 80353239]; [86307772; 12030227]; [6891518; 54128155]; [69868773; 15159582]; [65922641; 29669759]; [12899249; 57089201]; [53398691; 67393655]; [43266889; 94521338]; [81169682; 24414768]; [30035751; 8882353]; [89589549; 26512743]; [13777992; 12982102]; [81108665; 56888358]; [45577309; 62660761]; [40488362; 1425585]; [69886238; 94375196]; [93852692; 11481825]; [55354629; 39928754]; [95985386; 31373553]; [51061046; 11474686]; [34502107; 50591412]; [55687517; 72798530]; [98144601; 56905309]; [9669199; 48792282]; [83720479; 98922869]; [32314434; 52100051]; [83888235; 63361729]; [63508845; 31077436]; [2989530; 15127501]; [91854529; 67887689]; [73929876; 58414187]; [67662445; 74789427]; [56613890; 78986782]; [83156244; 94445771]; [61437049; 80505335]; [46570927; 66929082]; [28600222; 87225844]; [52286072; 55287640]; [87947982; 1628181]; [90411468; 20560795]; [38300016; 77819218]; [51093588; 65480225]; [4595145; 77188998]; [6656233; 20017993]; [55352225; 92827055]; [96113909; 147846]; [87250430; 49603907]; [1744828; 50285986]; [14639159; 1306049]; [15813415; 69329885]; [54079965; 75846404]; [53545553; 60099878]; [88645682; 97902804]; [63284154; 11211205]; [77560332; 25198984]; [42116400; 61081454]; [73598600; 98090082]; [47559455; 62576136]; [29535241; 44177109]; [93854601; 9551122]; [50973964; 11582956]; [48031206; 49562540]; [9830463; 79685148]; [50354889; 37869067]; [54250470; 68574292]; [24672942; 65810205]; [7389655; 68472417]; [85458250; 28668364]; [63985817; 45556593]; [28304465; 9817651]; [42631593; 79642934]; [66457736; 2730900]; [26704126; 24185569]; [95600350; 85192851]; [10730169; 70140838]; [57735158; 48955548]; [38904052; 77741655]; [13791926; 21559308]; [78886155; 95177132]; [72602861; 20420316]; [72056269; 88571933]; [48239574; 90639060]; [34263353; 77698245]; [15257064; 16793494]; [45209880; 10520728]; [44073276; 26141678]; [88673983; 37807062]; [11793328; 86671812]; [81895007; 1460515]; [81316911; 44314003]; [6250303; 72062341]; [92303233; 49976415]; [13111223; 52814009]; [21095793; 67887515]; [67487395; 27430590]; [84881010; 3430817]; [75176051; 96471315]; [10407905; 36975619]; [57027474; 8986551]; [57528416; 10282040]; [5003565; 11301374]; [65058792; 40096468]; [62433437; 11568864]; [27092922; 10607194]; [98089860; 27198838]; [83094101; 99432802]; [89886488; 95310660]; [20549285; 23009202]; [46981153; 12208602]; [53969331; 96485756]; [7418241; 96098269]; [83030821; 14540123]; [41655776; 92928449]; [1435898; 54462238]; [48548875; 84020663]; [9172273; 3757708]; [73856846; 33021613]; [81841483; 46333220]; [23724344; 61737854]; [87376492; 17253701]; [84818013; 35959837]; [25547998; 91725502]; [68253449; 71755116]; [96996104; 96175306]; [97980933; 85551192]; [60744969; 45541178]; [40453620; 9714488]; [11026632; 74668581]; [58668053; 35352883]; [24679019; 72743754]; [14056088; 41752527]; [50663380; 23440063]; [32097269; 83321785]; [46554096; 29260574]; [13703044; 71735051]; [19210239; 23315125]; [29148894; 87495428]; [10365253; 57120959]; [53344135; 10522248]; [55240155; 73976035]; [97229710; 60860034]; [51834868; 89824179]; [36977993; 43475144]; [79667211; 2045000]; [63514389; 62748604]; [65523457; 51433827]; [19661697; 31443591]; [54300209; 98782539]; [91499623; 62339368]; [11690245; 98190621]; [21733301; 22536473]; [17704202; 4015492]; [83341736; 62795240]; [35373578; 11892555]; [88202327; 11156038]; [44009663; 52724940]; [7327154; 70306142]; [35234921; 7608064]; [31658398; 93665859]; [1877328; 58184952]; [5639648; 69315020]; [59288287; 24418801]; [73838929; 38916491]; [69427454; 2243634]; [50196787; 15580985]; [20481467; 69682427]; [1995606; 10167851]; [87382062; 93082293]; [30915052; 80584312]; [41698906; 54940022]; [60863845; 22888903]; [10899041; 68250521]; [59880102; 97086467]; [6717562; 51926007]; [54290089; 50420315]; [18307229; 96372986]; [27617015; 82620751]; [51176071; 16265661]; [22740996; 76340806]; [75905909; 2204750]; [15689994; 2278446]; [90007450; 16035909]; [74951200; 92993489]; [29188400; 57913414]; [27842; 81255151]; [37928731; 65706847]; [76371890; 38738884]; [14426601; 57828045]; [95207040; 10537754]; [90444460; 97597822]; [33523891; 65087712]; [88440934; 78090749]; [10705896; 93038560]; [53559639; 43623150]; [23537173; 75596830]; [36977907; 63523274]; [64597958; 61137898]; [92198247; 37109647]; [6284374; 38260676]; [23476932; 83385501]; [45099619; 19085485]; [59280808; 75146027]; [77558868; 90838488]; [18399071; 90484273]; [27106391; 82167252]; [37211128; 20919945]; [20737556; 45287377]; [2102271; 99203417]; [48524271; 52890626]; [52331575; 26882020]; [10511542; 82623401]; [12742641; 57989266]; [27279411; 98121591]; [85038923; 59723186]; [42022051; 89534614]; [7043470; 44658918]; [66815049; 71534661]; [1362604; 95008378]; [65446639; 20666010]; [48019170; 98178996]; [67549851; 68132501]; [99925920; 26048828]; [84435894; 63460327]; [98547300; 47931407]; [24857707; 83016300]; [21267216; 71544089]; [39511282; 5517566]; [19818837; 41369282]; [52021524; 29473787]; [28488908; 4109009]; [49566285; 40141887]; [93194582; 4738102]; [5601621; 15742099]; [890925; 61413646]; [88089089; 30345984]; [78447452; 21100014]; [46105443; 86536185]; [64391452; 64818714]; [53119874; 91693075]; [40155714; 96531008]; [25473895; 27319137]; [97771063; 24431111]; [1449265; 27537446]; [26774703; 87949329]; [63913276; 78114299]; [31229865; 23309697]; [32263027; 84377375]; [84647380; 90717802]; [29813253; 50743383]; [47634990; 31834457]; [70278425; 84070858]; [59274645; 5716097]; [68809419; 45584168]; [88319120; 80265722]; [90597533; 63273079]; [64854436; 56547502]; [18292012; 4110011]; [49631022; 48321662]; [57294846; 45552977]; [69267141; 33276200]; [17637975; 452260]; [17690747; 80241505]; [35826650; 48505157]; [49470967; 34241645]; [65285361; 51745301]; [98516427; 1048432]; [94401998; 10464220]; [86792023; 53360487]; [69990045; 7616517]; [51024152; 63746675]; [69027666; 94553163]; [27120436; 37148673]; [67037302; 35081249]; [74134320; 37794570]; [91028190; 8062874]; [23814388; 52306715]; [22374074; 38219224]; [29862615; 62647462]; [44392210; 16684941]; [23289262; 86314446]; [99660910; 44787617]; [11720285; 1523642]; [23329883; 88205321]; [36472594; 1228685]; [29713108; 6325188]; [61377473; 74115561]; [57796848; 52771237]; [38588045; 31355504]; [55059234; 16831225]; [60643958; 18881404]; [49400654; 48649355]; [85382694; 92469499]; [22468604; 37105530]; [96287372; 24727875]; [70535594; 1727992]; [59554153; 8694459]; [70090949; 35733799]; [20976412; 54074582]; [43120126; 44549397]; [92415391; 14445400]; [38482255; 47658822]; [8426192; 76615403]; [3453396; 67895951]; [28007610; 27617644]; [35850186; 62849136]; [38760051; 77407972]; [96757269; 50239507]; [69947444; 77051782]; [81894279; 50966436]; [58498451; 29239909]; [91081071; 84130965]; [52312723; 31610971]; [23183203; 54035656]; [6898021; 20431664]; [13554410; 49021278]; [27167487; 10906869]; [90006852; 25670415]; [45431125; 85830586]; [80322216; 83365603]; [82044674; 7570386]; [4949696; 46255218]; [68556549; 96964730]; [14565060; 44635882]; [71719086; 60691645]; [9642395; 7183257]; [93704615; 73986121]; [18491189; 60218910]; [93360404; 49806330]; [21359809; 34385920]; [95441482; 17780697]; [90717773; 71634139]; [50712228; 27027503]; [37691985; 8523876]; [89863172; 17570047]; [62956542; 40114856]; [70709413; 81911836]; [73546665; 15314517]; [90099648; 69027654]; [40500209; 53715996]; [75760342; 37432524]; [82569243; 93990472]; [91915336; 21832827]; [23132014; 22427989]; [39741225; 93070219]; [31699361; 6655837]; [62853295; 3264381]; [20057644; 21777762]; [18261997; 27401216]; [92728617; 22378621]; [61924378; 95432289]; [17915754; 2198892]; [72347608; 77057423]; [93087050; 11723187]; [62388079; 9513305]; [57163721; 27496758]; [92479137; 17195750]; [85726859; 86052338]; [44751630; 23040732]; [55760271; 99052326]; [78056867; 27111723]; [2820251; 52467047]; [72587586; 45117940]; [61659938; 29056994]; [46097056; 71812978]; [7151592; 37757987]; [12756213; 16174227]; [59530566; 39914225]; [4986047; 68877087]; [1526865; 91658800]; [31795158; 93808094]; [41361019; 95891027]; [30098509; 77385916]; [61719917; 2469752]; [38739930; 30508587]; [34201191; 5807799]; [92349795; 77241961]; [34086229; 18823038]; [79373964; 39848914]; [69742417; 55373819]; [24603153; 77738184]; [95555167; 28682092]; [54583635; 73042530]; [58585592; 53940435]; [31221983; 85265842]; [32105307; 72133874]; [11245738; 76159532]; [21737201; 16150689]; [13539188; 92249612]; [95716637; 54093458]; [7065959; 47393330]; [96957241; 32685169]; [596987; 51721877]; [72464474; 95843621]; [85286811; 40933836]; [92871101; 53811546]; [98748083; 69077608]; [88435637; 62118786]; [10685969; 34524435]; [9012803; 45088045]; [61402743; 88317944]; [38700861; 68156388]; [37552161; 87862934]; [81676193; 76126414]; [75314686; 90029811]; [58831227; 7642816]; [39716142; 81698820]; [31120385; 39038291]; [51501548; 99995751]; [25578495; 79189562]; [94294997; 62844495]; [29730804; 26957253]; [55468950; 33619134]; [12638025; 77735313]; [39782323; 2497546]; [15751777; 20460606]; [65309460; 39037911]; [19451287; 3419907]; [94483045; 42112265]; [83324221; 85634848]; [72107850; 79181564]; [22208048; 46222427]; [29613929; 77129390]; [6046895; 30039037]; [61836009; 35224593]; [79730030; 88283006]; [54056618; 82408388]; [81403933; 59113817]; [28209105; 44962767]; [62961220; 86763293]; [45749622; 95999265]; [75169467; 54162630]; [17597005; 79476194]; [73915119; 43585420]; [87507003; 33329817]; [67555687; 17683383]; [70499825; 75551265]; [73533290; 3259673]; [36863815; 10418048]; [52763047; 50338205]; [81316975; 34060005]; [42404347; 78130965]; [73529405; 22204596]; [72099700; 90728561]; [1093064; 39127728]; [30649600; 47877793]; [82045594; 76480095]; [6338008; 44259130]; [85956445; 43472808]; [53980723; 72430762]; [98644132; 22844728]; [31305283; 70651684]; [20833642; 82337353]; [9831543; 65774509]; [90878756; 93047154]; [21682297; 29011598]; [59379344; 69113985]; [50174006; 17436110]; [26008; 13662573]; [97688417; 41087210]; [40910188; 7892235]; [43459727; 69968582]; [36960784; 25380058]; [15540423; 1455264]; [96540283; 70365260]; [31120445; 98377696]; [47830802; 50958973]; [40270897; 34415642]; [84601849; 97947874]; [63964228; 92913074]; [83384815; 49232774]; [80470469; 91806463]; [78335397; 13450230]; [43256867; 48651880]; [60920782; 99604900]; [2024458; 23250647]; [46093059; 70981957]; [51638809; 24737930]; [71358521; 2029477]; [59137104; 9647106]; [57449865; 50214654]; [52696901; 96506120]; [43759431; 28069571]; [12346336; 99270165]; [23898430; 31290811]; [87115702; 44701188]; [57864758; 17890336]; [29278124; 13891475]; [65865913; 92824944]; [46840240; 39028120]; [92787505; 62067851]; [99996502; 84870239]; [89562821; 99050882]; [9865218; 48626289]; [68664657; 64549092]; [61236938; 30592836]; [40798025; 29446672]; [2879373; 9167228]; [87856376; 68929259]; [94560029; 50368888]; [21128946; 62591081]; [51432722; 19790944]; [58459578; 20123579]; [56707436; 81684629]; [60676579; 11792085]; [14445893; 19579459]; [12935566; 44825398]; [5374643; 50387311]; [29364149; 5225248]; [83294838; 32903435]; [5045327; 66856199]; [48618030; 83500992]; [59977079; 65309361]; [8328870; 50432795]; [23528874; 97694740]; [16597755; 21477930]; [96262671; 26288841]; [78080561; 20789509]; [10456252; 98219539]; [39559558; 62088842]; [9220629; 79555978]; [92441771; 11249295]; [67131256; 96702656]; [51583162; 50055828]; [86098328; 51169090]; [8761736; 85374277]; [3149455; 66789599]; [98583011; 68704408]; [52859854; 66182622]; [56397509; 30712107]; [49126808; 61530444]; [26055648; 80955361]; [59676526; 45347678]; [36073844; 68765113]; [50582821; 59223429]; [33074127; 17421258]; [26942355; 66993785]; [70117687; 46325311]; [57304608; 61162243]; [27454224; 25121749]; [68435748; 88594626]; [81524085; 76868570]; [12529532; 74621201]; [26749755; 94052225]; [93341505; 44852507]; [38549405; 70196919]; [77733470; 46072960]; [8807262; 48964181]; [165043; 39041653]; [20775749; 26913763]; [73877080; 14921525]; [81210831; 18711946]; [38919938; 11042563]; [49608165; 55914402]; [39463353; 78585601]; [32277347; 79582518]; [898460; 99800606]; [24839345; 65187376]; [81790874; 31766826]; [44461290; 77645424]; [97125511; 13764379]; [49678795; 90782978]; [77931443; 90202936]; [87679223; 25984560]; [26291198; 60480925]; [93193616; 5712568]; [91319702; 69635076]; [43924079; 38689984]; [94089438; 31857243]; [99900706; 62809504]; [98766134; 36781420]; [71309110; 55694477]; [73374570; 55248952]; [58987978; 76718022]; [42874549; 6008004]; [22903700; 26484846]; [91461410; 64336231]; [64924415; 76617951]; [16810059; 4578001]; [44632801; 42137185]; [55536073; 25721306]; [65848683; 22195258]; [6071231; 88686696]; [39274818; 34771086]; [19960550; 26982967]; [96747712; 54464099]; [50730578; 94284160]; [62400785; 47705544]; [33225602; 85270871]; [20332375; 71684648]; [74595305; 3818576]; [65243483; 6103152]; [71870258; 69674490]; [33772903; 45958386]; [31114559; 40612442]; [28871674; 82031399]; [26457080; 60126550]; [7894658; 2488113]; [13927506; 95624251]; [4950292; 62325107]; [55629033; 39786989]; [50895704; 99460659]; [79476639; 23148928]; [52665843; 44570585]; [74850158; 18610167]; [31888801; 30279820]; [72161439; 81666679]; [66661551; 97511306]; [72832738; 27687606]; [24860132; 80696528]; [35890282; 24845158]; [81846; 39783301]; [90759490; 84546003]; [42120580; 25868841]; [11906730; 22555864]; [38512529; 67844446]; [29562900; 56822076]; [79899631; 66149124]; [52980993; 6212341]; [27754044; 28928388]; [17711512; 69318321]; [39681181; 27895110]; [86600458; 51299396]; [31833078; 83213376]; [69703566; 448444]; [60244392; 50963189]; [93044074; 35203311]; [97145129; 81244039]; [71262879; 78454972]; [13130899; 5678672]; [88018980; 99280055]; [21114718; 89052792]; [11424182; 33260224]; [52935740; 84620277]; [75503314; 34747818]; [2773754; 33503262]; [79318731; 46589490]; [33634240; 2905506]; [40182972; 8273568]; [62652356; 88282170]; [46834441; 95499967]; [32101802; 59396499]; [32418949; 78738096]; [62144023; 12944221]; [20553528; 20475354]; [61520694; 33012076]; [60505785; 17203869]; [8067049; 66941430]; [85885688; 20348698]; [15024516; 52974248]; [81919049; 77349731]; [48906612; 5960141]; [58595794; 42849711]; [83929878; 33934684]; [72932647; 26031488]; [84341225; 64325362]; [21195820; 95323916]; [25026290; 22810488]; [31200891; 89906032]; [7497143; 39460177]; [98863573; 25491138]; [37874055; 2787671]; [86120079; 16388436]; [22427609; 23587872]; [65045919; 35467296]; [68286098; 4863727]; [50109633; 8005258]; [45925878; 21435544]; [82852320; 68488174]; [40019218; 7111156]; [84746849; 66389378]; [11175938; 68044198]; [62545390; 12711494]; [28549968; 45627765]; [5971379; 82924882]; [33209752; 85590638]; [96674278; 29527653]; [50071008; 2317226]; [27826616; 50092820]; [29553161; 82788442]; [62093819; 47286917]; [42220375; 73686085]; [19824114; 99775900]; [73655040; 64713558]; [49797396; 17942328]; [12309209; 1997596]; [63204601; 82392258]; [79832442; 74257835]; [78920998; 82267331]; [72340527; 14515023]; [55115240; 6705177]; [44931737; 25846299]; [13715191; 49120449]; [50051729; 90744288]; [25604598; 60733587]; [91939763; 92880021]; [15200432; 90498312]; [60218170; 6934316]; [18185841; 95753525]; [9098379; 45434281]; [76331473; 73731611]; [18007013; 84864189]; [89239889; 57145751]; [88677587; 1160605]; [28491048; 99482494]; [39483715; 12116908]; [71786409; 46347132]; [80574745; 5236593]; [91912578; 34402033]; [91444511; 42118307]; [37112803; 4941813]; [81469240; 33976149]; [90874441; 95270986]; [25303674; 62405510]; [72239705; 68361490]; [73999529; 89529034]; [77279653; 77018319]; [7221915; 6175301]; [40627314; 94589358]; [12823493; 83068227]; [65259456; 63568307]; [34966432; 61895677]; [77575702; 57293994]; [56351719; 16531548]; [71128879; 47036022]; [57487588; 97696099]; [49494460; 53313150]; [59313430; 11223930]; [52173004; 44648104]; [39672156; 37336044]; [58263615; 67074972]; [22438875; 76211677]; [64220222; 9144633]; [50354648; 88136776]; [10918004; 3090531]; [67703639; 54940741]; [59551763; 55109815]; [80904695; 3138657]; [81131069; 8984496]; [33666843; 23471216]; [81649260; 82524848]; [10480523; 76222979]; [50675336; 70345990]; [72582556; 43616958]; [84419199; 96625977]; [14406802; 3063889]; [3319076; 11044819]; [22428888; 86334981]; [33953821; 28150193]; [69493259; 96847016]; [79827807; 59077159]; [89141946; 60851635]; [7376653; 64707000]; [51054374; 98430353]; [57815883; 61679986]; [90608180; 69196275]; [11289293; 15764746]; [5230914; 8841821]; [90754796; 77325454]; [33554904; 35364292]; [10474219; 73182114]; [65023027; 2925439]; [35346977; 62879879]; [54633632; 17627947]; [21360693; 74257736]; [78365820; 76199857]; [59375838; 81825668]; [29328767; 97070975]; [63579419; 19506949]; [47731261; 42669271]; [37787218; 32693710]; [47646242; 86194744]; [14858473; 51387817]; [7242995; 43413372]; [9421761; 93125643]; [71799108; 30741075]; [18201262; 72654784]; [67018968; 52847624]; [73778849; 96824345]; [75938001; 89086817]; [10126971; 38002670]; [66854484; 3627353]; [27573282; 54213154]; [86181766; 48799059]; [11046938; 41499158]; [85468727; 92597634]; [45597628; 84334277]; [54395392; 6616885]; [9199291; 63433333]; [10176024; 1813027]; [7515063; 32273126]; [84529380; 63398762]; [3090126; 31220196]; [88383212; 69256044]; [47813859; 4436493]; [71649873; 22090611]; [76752131; 51376958]; [14558579; 29019572]; [14215984; 36624576]; [29156800; 58282921]; [51716545; 68090963]; [17291133; 30745491]; [6804874; 78028874]; [49606883; 38687495]; [13155450; 11268756]; [83629615; 9237072]; [48304149; 1080944]; [42597150; 88836009]; [84427814; 72501358]; [99113199; 66574298]; [84030840; 26012181]; [2668808; 5789918]; [48705708; 99588394]; [41679364; 26341434]; [78186342; 45967534]; [45294592; 11621360]; [88953370; 32173272]; [94835300; 53290835]; [26700834; 94805928]; [60289131; 41056493]; [39446246; 31095483]; [85987972; 48732277]; [38707098; 85219458]; [94865910; 6933066]; [58569598; 99845529]; [44858502; 60225623]; [97502259; 28750969]; [84747811; 81914099]; [21692156; 36515152]; [87609821; 94836198]; [37273167; 84101491]; [48434657; 33082277]; [64325481; 90128870]; [76962289; 73601551]; [17545547; 82851769]; [86473351; 21289965]; [90470830; 10005851]; [23158878; 17033993]; [44602424; 53395845]; [44243202; 77347950]; [68516594; 79287339]; [27810492; 81069718]; [90162757; 30098908]; [66194493; 12636258]; [28384930; 87650347]; [43714693; 39340173]; [91168662; 76060024]; [84298878; 55947552]; [89314472; 18816713]; [40962593; 63057447]; [8483620; 79620264]; [44591286; 15153427]; [72693606; 62799222]; [48163921; 42730555]; [82910234; 31635907]; [12924917; 15258296]; [51861416; 81984842]; [86438721; 53274180]; [10528790; 53636468]; [49819861; 19915872]; [49508524; 70050030]; [85167872; 57301362]; [17476079; 4572411]; [94970184; 62621039]; [65964374; 95110426]; [85042060; 97648146]; [87709803; 111675]; [89922960; 80590580]; [15921428; 69249445]; [33519028; 73735622]; [96199999; 43140367]; [63267518; 31404847]; [50685772; 99558790]; [51186024; 9862824]; [91460262; 78854434]; [58822608; 38437057]; [68579119; 11449572]; [52180935; 4927185]; [25196141; 46531471]; [52773787; 438360]; [94309343; 94242616]; [47868727; 10758421]; [48716829; 52449467]; [61172558; 9542025]; [78657601; 58265241]; [15716731; 72506234]; [44542831; 20587020]; [94227920; 68328927]; [48674648; 43085206]; [88170908; 90237378]; [39794055; 47096437]; [10538745; 80584781]; [79477273; 85863907]; [56991408; 1575226]; [10343098; 77029395]; [61831279; 22784618]; [18930508; 41364901]; [12388615; 14414576]; [75413584; 63484713]; [10803238; 74974479]; [88760928; 9707236]; [16809890; 24296336]; [12942428; 34056136]; [99675357; 22659198]; [75065272; 86717906]; [97843627; 43204453]; [14952254; 77393704]; [70083450; 3969347]; [48955947; 87361749]; [64849526; 21877321]; [19051340; 57474907]; [22229407; 3911187]; [42084640; 24278873]; [35829409; 88322930]; [11577585; 2084397]; [15669521; 71937122]; [84800200; 51247971]; [78818961; 40937048]; [86925312; 83047942]; [20291493; 14653690]; [75353934; 47317596]; [24888251; 24277708]; [11571933; 78719741]; [15887793; 1506444]; [24703538; 10098983]; [62440902; 3096471]; [786986; 9377725]; [88778202; 21615371]; [7340550; 39509118]; [46295953; 26970514]; [64555092; 61112968]; [48857878; 59656880]; [13962826; 5141094]; [54634700; 31189660]; [28274729; 48789879]; [5092456; 10171339]; [32047729; 27097613]; [67996724; 55334443]; [22119535; 147005]; [89347689; 39362871]; [29137778; 53035433]; [44084315; 71172028]; [39324756; 98017125]; [87972932; 31588096]; [61047244; 28966511]; [56941421; 9552259]; [59843704; 75077299]; [38398023; 10142085]; [89497630; 95554269]; [11605781; 76768762]; [61525595; 84044958]; [59751186; 65055351]; [45886224; 81825070]; [18922532; 56496300]; [7714495; 65113453]; [42601566; 38090727]; [74734073; 54710396]; [48286454; 59630336]; [7200694; 74247003]; [51934933; 4785146]; [24299267; 42262641]; [18185693; 26479142]; [56767319; 6692185]; [78663609; 47593196]; [21497724; 84236150]; [99328165; 69792152]; [52292406; 32246710]; [18190283; 3405804]; [19383205; 46296475]; [55755262; 1177128]; [26756622; 92752536]; [35921588; 25125279]; [45592879; 12503406]; [40219025; 34002394]; [77983893; 50951535]; [76815983; 17780935]; [69755485; 88007958]; [83410860; 82887163]; [53634940; 78595458]; [98803800; 38102168]; [98592594; 69527442]; [59704528; 94208441]; [35662502; 31139595]; [76709798; 58803429]; [46746040; 60426272]; [36841840; 87244922]; [40669084; 5220673]; [71390866; 20007510]; [36657649; 6364863]; [97983709; 92413347]; [99540745; 30524754]; [38627869; 96163996]; [42697625; 76650803]; [53801646; 77129560]; [44235990; 82976516]; [3190380; 62761923]; [29833429; 49119404]; [36124624; 31706728]; [70442501; 58188075]; [51158317; 30721330]; [71340717; 2683726]; [40301303; 7849049]; [88971748; 585505]; [49704991; 73955621]; [20319166; 58659032]; [19771736; 75931974]; [39703284; 46030046]; [61186018; 95393243]; [45522286; 42025549]; [40365720; 42137211]; [1016728; 72831854]; [74043657; 80318518]; [88755948; 82566428]; [37506543; 76707157]; [46335180; 51210469]; [40578641; 11095920]; [81988436; 73462091]; [52858198; 48036178]; [42253886; 58613328]; [46039364; 79596637]; [49981640; 6925076]; [36710332; 34607844]; [35495783; 34245643]; [3853495; 56433646]; [88922111; 8365073]; [90403439; 78223062]; [95150380; 85090133]; [97893960; 41057775]; [3061746; 6422321]; [47647798; 76076223]; [51905744; 62491537]; [29194266; 11118922]; [78620646; 8862429]; [15100524; 83822945]; [52142836; 41692401]; [40725177; 86693173]; [77771298; 31935987]; [285270; 73928143]; [81915624; 31015990]; [28615062; 52163589]; [83784753; 69730037]; [28058622; 45068530]; [12003859; 25391816]; [12482591; 21021248]; [77436643; 2773835]; [57319602; 16241415]; [40521684; 39960659]; [85711989; 14262075]; [18150886; 86291340]; [59965225; 15473146]; [7153950; 77798686]; [71534561; 90171917]; [47270172; 23604287]; [74503854; 10494593]; [82700690; 31645841]; [88100103; 8843816]; [26538732; 16908673]; [87188080; 66129503]; [43480666; 45034582]; [61768962; 61145474]; [21366226; 36321849]; [49886417; 33599506]; [44817756; 55476088]; [45122148; 10143238]; [31727009; 8565679]; [17706467; 71125924]; [96169795; 90282458]; [27672844; 64619878]; [53954605; 56130346]; [70909811; 64427703]; [8538209; 43577409]; [52904663; 59484630]; [67105856; 23523672]; [75729794; 13160160]; [25888887; 89776027]; [29789477; 63116410]; [38050160; 76510529]; [31477872; 77693920]; [93169856; 97134548]; [38858628; 36465077]; [36819578; 80147961]; [553059; 15980628]; [36858291; 29583199]; [968841; 40363926]; [12137066; 72448706]; [45054932; 90133844]; [22789756; 7911152]; [12451856; 10295059]; [25958471; 93363282]; [81887909; 70573501]; [70427341; 22562526]; [48766693; 44708343]; [99176219; 91169522]; [13469583; 7903249]; [58028971; 77044286]; [38166952; 90185492]; [67818891; 30581266]; [43017469; 3542351]; [16063764; 13870355]; [57652236; 86777004]; [61907163; 50593666]; [30749703; 86676881]; [46451652; 9303950]; [57374982; 69598461]; [18378434; 9684363]; [56551875; 28117119]; [14848934; 3868550]; [89452800; 90390362]; [74699390; 653277]; [32628844; 5119212]; [99665132; 46003891]; [94057830; 88482047]; [84975775; 71921065]; [61783750; 33392343]; [27385603; 42445723]; [74095223; 29604526]; [58739312; 71537702]; [30603410; 31841315]; [77607875; 32500510]; [87649005; 91790371]; [11608096; 84508233]; [5809676; 95503812]; [11657625; 30754279]; [23916750; 19659327]; [98393383; 38116948]; [94056333; 40221886]; [41868160; 6016495]; [26988751; 24415639]; [33640708; 65907484]; [18469825; 42961871]; [96185387; 61413537]; [93084699; 23268417]; [98163040; 35799348]; [3737746; 43930900]; [82654123; 19065360]; [41714920; 32093231]; [6348182; 55308237]; [11806391; 96800034]; [96926851; 44542840]; [52939050; 97502551]; [22330659; 77138286]; [74671214; 77455591]; [49355436; 66146218]; [55290088; 54869875]; [82295785; 66518739]; [99323009; 37004933]; [99626657; 58233437]; [24623383; 58014971]; [68660933; 13682017]; [82970767; 2876465]; [56905965; 81638073]; [37558475; 95903193]; [95512538; 99883072]; [9354478; 71535016]; [63205438; 40276767]; [68482262; 63498498]; [36594608; 40476778]; [14102311; 64405440]; [43629417; 42402762]; [35634996; 11039128]; [88645543; 72098868]; [14528024; 71442932]; [49349417; 15830248]; [44737714; 16588761]; [4169630; 12508605]; [51757693; 77880349]; [67171676; 47033826]; [65479065; 87872677]; [97162745; 93041068]; [75192482; 64874019]; [46192807; 76057079]; [74218830; 94012835]; [26299500; 47660654]; [25855810; 73239786]; [36099403; 64987402]; [85375018; 73073261]; [59551864; 56512672]; [86798149; 1995816]; [77868287; 4802311]; [98506738; 34289181]; [37549518; 33100107]; [6464542; 81454710]; [55587681; 4578862]; [22466374; 27020313]; [24854540; 96984603]; [44354259; 97528640]; [3794459; 94012162]; [36849350; 4679038]; [57459859; 56402012]; [44557439; 76637521]; [52059618; 81861094]; [83032231; 85159623]; [81001963; 14130184]; [59128206; 10959537]; [85795334; 95007644]; [47968237; 38814812]; [79739492; 48787252]; [43378639; 47619802]; [66990589; 80209998]; [5509841; 6878749]; [87622141; 72174061]; [99721680; 32313860]; [61912712; 52720041]; [5336911; 44442357]; [57577588; 46922716]; [59779739; 81507145]; [68178605; 59053009]; [32480323; 47903482]; [27360441; 38369712]; [28540469; 43005846]; [58587551; 35293014]; [33122086; 56656186]; [51656312; 44857593]; [35317238; 36993915]; [69190226; 41005412]; [63228327; 51237312]; [2467080; 49671236]; [54290579; 67154860]; [52038049; 36763840]; [34206260; 53441710]; [60825332; 68588349]; [99520053; 13908039]; [37834239; 9171764]; [85277410; 64538410]; [45658009; 83218173]; [14881191; 96414522]; [67203293; 94032645]; [24278528; 3031388]; [93845036; 95844689]; [19826417; 50389321]; [52454415; 80993059]; [52783357; 70373057]; [12015996; 15243324]; [1099677; 66160178]; [33232505; 33152951]; [1580698; 20205673]; [14019417; 68748027]; [77587023; 61096022]; [50774372; 44647903]; [3142634; 63450728]; [38253641; 30274633]; [73608047; 97732148]; [51342754; 60358792]; [75343347; 98442053]; [64434659; 50646161]; [25038261; 94599024]; [15453830; 87307334]; [40304744; 80545805]; [22844998; 98553609]; [42158055; 41403651]; [60913200; 34399150]; [48998944; 91984623]; [67399474; 59578523]; [65827479; 31411632]; [5476959; 85023559]; [13971513; 95535677]; [66856836; 47818780]; [4480873; 67213416]; [52591447; 27668972]; [46585120; 7092232]; [89420201; 67103665]; [26486990; 15665699]; [38260981; 64444070]; [66880935; 34748853]; [85817751; 9072482]; [55737906; 28520305]; [57409938; 23510425]; [15685212; 71671960]; [70032121; 30186424]; [87243460; 51123810]; [40259380; 3196275]; [78380006; 51576239]; [8361890; 93537970]; [16981490; 47819513]; [95819239; 14287940]; [17403145; 26225141]; [45208371; 62895776]; [13588759; 20739644]; [71581719; 46930507]; [79181357; 15811219]; [41376760; 43634999]; [28801518; 18992357]; [72640322; 87590629]; [25224237; 44302976]; [1648518; 96238308]; [58165809; 73013597]; [9871063; 71647689]; [42426973; 48474224]; [43614886; 58300213]; [93096084; 9945937]; [35343088; 45145596]; [59249831; 86386563]; [20892852; 9519246]; [31807106; 8054527]; [78715609; 88585597]; [81299545; 58791081]; [8243627; 61818674]; [90021377; 53847855]; [50980196; 55802261]; [89810298; 17219381]; [45832487; 25184075]; [45189312; 5697563]; [93815365; 15967947]; [47458379; 99532558]; [99105172; 64968411]; [29607947; 38221671]; [36660769; 71308963]; [95736474; 63603763]; [45523593; 77647294]; [29181670; 82678267]; [16702235; 55729571]; [85615642; 13869234]; [54657969; 11960079]; [78608618; 17162104]; [75098767; 32908668]; [26830781; 14769820]; [81014839; 77188770]; [62256868; 86364012]; [14203274; 50161570]; [1825961; 59978140]; [75185302; 36962632]; [97508888; 41314878]; [69595396; 26106483]; [18663895; 2182378]; [36571137; 46155298]; [3016629; 34990060]; [18241633; 95953593]; [58854400; 85871922]; [27319656; 50104904]; [73277149; 1444506]; [22381636; 85946368]; [76436466; 4760634]; [65635296; 10893839]; [5974095; 25480350]; [50568879; 72450027]; [97023403; 7707193]; [56574879; 42670859]; [60494740; 48243309]; [33624703; 73594587]; [31185487; 92999793]; [1582718; 63845280]; [84155440; 55117417]; [76572210; 92011627]; [11523801; 30192475]; [45248960; 11525777]; [55500572; 10555435]; [44592053; 7229122]; [20535241; 46824291]; [25392939; 34006666]; [48853218; 95195803]; [20691609; 65571768]; [89845322; 2431995]; [99054571; 90536807]; [80241015; 78711294]; [68234384; 40253598]; [9723936; 11231716]; [34650326; 65587140]; [55920595; 25174747]; [31237367; 47884107]; [31859841; 89694766]; [52278770; 66394946]; [29213660; 29167357]; [43933041; 25204532]; [69824495; 39603028]; [85536563; 72160079]; [22594429; 72405499]; [51043817; 84859929]; [5294095; 29279407]; [38315885; 89491722]; [25785560; 60803240]; [40775559; 14449655]; [29760517; 59231032]; [29594903; 51645446]; [90835618; 20708188]; [53800640; 9175547]; [8551915; 25752831]; [52416509; 71702204]; [69507875; 2955927]; [43220709; 1250778]; [41974140; 54269597]; [95343008; 31018345]; [64701945; 7916405]; [20697401; 39527792]; [7446767; 86075062]; [55593615; 33628181]; [46696824; 81031789]; [6380928; 63376480]; [8725407; 87385085]; [54209730; 34873296]; [6858879; 88134098]; [71709892; 74568847]; [98866535; 35250912]; [78942281; 84771534]; [56377637; 63120770]; [49326845; 46148409]; [47082758; 1474406]; [52470520; 36960061]; [91201711; 46736286]; [51426317; 84971392]; [81821107; 99584568]; [117856; 64810137]; [4320832; 26340932]; [96921761; 44559168]; [95075824; 13705205]; [22878978; 79107044]; [80579156; 27475796]; [59892796; 19781289]; [51375610; 43220057]; [99472042; 17330583]; [95829788; 59580805]; [85866128; 85853070]; [29162584; 87072049]; [75138551; 15050613]; [4975455; 50487198]; [59987956; 4039643]; [41714481; 73604452]; [69648384; 51053257]; [42014757; 26142995]; [65045845; 22973353]; [19357456; 27646669]; [72856007; 31179066]; [73275052; 29551124]; [96871611; 2496306]; [55748070; 51449323]; [17576806; 26108067]; [22278271; 25922869]; [66843741; 63099249]; [85952041; 90642177]; [4583826; 32735759]; [74430175; 65266833]; [15932121; 8224111]; [8912668; 46781961]; [82622232; 35330621]; [95989523; 8647302]; [61165787; 73178342]; [64503639; 77769399]; [44301717; 72933657]; [86277608; 37932643]; [89365094; 86012646]; [8062899; 71759001]; [82549419; 10029905]; [40650872; 81076184]; [41949809; 53262846]; [20531366; 93868529]; [85330049; 68552006]; [38750221; 23034803]; [26001303; 53040357]; [91253284; 19038382]; [86356619; 11278269]; [36680973; 98965615]; [43852519; 1714741]; [31998965; 95233583]; [66449504; 12542564]; [49028301; 801154]; [16217070; 98631532]; [19075277; 95104941]; [58331352; 18645668]; [75012229; 7505132]; [50906197; 88458072]; [43669394; 65702641]; [30118800; 75280787]; [57712298; 8695021]; [25029673; 71269682]; [87499997; 153861]; [62217984; 35230221]; [90611463; 46392313]; [66126676; 35474274]; [56423961; 13335616]; [13025621; 33370476]; [59384278; 87101628]; [40379400; 76229650]; [15171743; 62349823]; [74452222; 32086740]; [88296066; 3206025]; [41615148; 48176376]; [80037498; 36000170]; [30197196; 70171757]; [22708535; 25250100]; [23765731; 73888001]; [14519197; 75691545]; [74964696; 72809999]; [5400601; 88057612]; [91326451; 60554897]; [22772643; 44235171]; [94570748; 92433771]; [48130665; 41687439]; [91793771; 64215635]; [39605334; 48015014]; [49581013; 6851529]; [94652802; 98095023]; [92146571; 37807476]; [84709858; 42899573]; [88671688; 21353953]; [24364682; 87436296]; [40389044; 43701062]; [66492868; 39982754]; [80402207; 63734495]; [23689986; 31852014]; [22468315; 98911098]; [72273384; 72029661]; [64186510; 74632637]; [71034360; 41885893]; [29550035; 44802892]; [71379146; 50339819]; [92419160; 79468749]; [79640816; 61176226]; [69218685; 12711005]; [87918873; 43756767]; [25163074; 14217511]; [58010754; 98476535]; [34474556; 1258018]; [25318611; 26480753]; [82178895; 55821652]; [51213568; 59513781]; [71208520; 53433362]; [65035918; 96154681]; [48712998; 31823870]; [13565118; 81461791]; [19454568; 26320652]; [19260681; 82555169]; [19730594; 72996976]; [7329407; 58493979]; [45591080; 59050669]; [22258370; 86055228]; [91010773; 17032009]; [76120982; 5107046]; [36312460; 86777792]; [25113751; 83019589]; [92452273; 27610328]; [18705812; 51850963]; [2559525; 70627713]; [67781261; 80082476]; [90066446; 8381258]; [50509194; 78318756]; [17327225; 6989487]; [2475914; 84910418]; [22148027; 425687]; [81189234; 78004318]; [21878339; 5506279]; [28608163; 89835771]; [48032675; 73291098]; [13679555; 26933523]; [33562934; 30923211]; [37129434; 31932633]; [9357938; 5569036]; [39789840; 47863461]; [90193816; 73554215]; [81921186; 7747587]; [7329380; 78690900]; [61595347; 6958964]; [5560612; 54587032]; [81995146; 41014609]; [41238250; 26478130]; [81199371; 89458950]; [22717285; 95935261]; [45418493; 94729252]; [96452793; 23058903]; [68914651; 30137079]; [9645237; 4542752]; [89807805; 84088368]; [36359764; 60546759]; [60733416; 3936088]; [83100544; 20976049]; [84749455; 98327262]; [57990417; 68050640]; [85253701; 95323117]; [39616656; 96244482]; [96298126; 55910041]; [97472738; 64881623]; [25428525; 19881233]; [60766887; 74310690]; [34230960; 14192528]; [90922767; 15641721]; [44219045; 12287979]; [90518266; 8350109]; [82004265; 24887619]; [79845096; 18985217]; [81143721; 5401261]; [44441203; 35654463]; [85084200; 64401346]; [86072337; 77883507]; [26456230; 80660359]; [97257611; 31917457]; [11905618; 36780985]; [87443216; 80206740]; [30050716; 54598297]; [47195711; 36194461]; [31310937; 54600577]; [17443601; 31453853]; [12931751; 11543251]; [83990921; 79899142]; [42228046; 31058198]; [8881060; 9016860]; [3992618; 13213149]; [5129293; 91489166]; [51184617; 61286475]; [56013548; 64639625]; [2024617; 22616266]; [37884716; 75245289]; [79375891; 8782684]; [48303704; 30163151]; [90382865; 48657377]; [69198898; 26417431]; [68901484; 54834535]; [92845411; 59756715]; [75773350; 43898218]; [61598385; 17188725]; [1263205; 55809703]; [85631238; 88057335]; [77188905; 35313014]; [56608297; 18447498]; [80775906; 82013762]; [58134016; 88543597]; [57200805; 52858306]; [67165235; 97957731]; [27114168; 13393201]; [38352891; 63282600]; [39467489; 35194851]; [48987897; 12723532]; [16308442; 75668518]; [4132490; 90573273]; [3167669; 76453284]; [69826859; 72924827]; [63405491; 55858538]; [64405362; 82407305]; [95619343; 46228203]; [95948351; 2361572]; [72050779; 73059547]; [7011231; 54976393]; [87840131; 73800424]; [28268285; 38523837]; [76402163; 99049202]; [99071063; 46747459]; [93465060; 36915671]; [95402056; 39411295]; [21000716; 39262106]; [72471256; 20998849]; [39344971; 6945448]; [49271708; 82278036]; [83383067; 76342719]; [11840692; 3049726]; [63425030; 17284671]; [43880957; 23973517]; [42783680; 20668253]; [65672772; 65567178]; [29132426; 24510677]; [84407664; 66059814]; [31368263; 79192856]; [93483830; 89948525]; [22550017; 88505867]; [34761166; 62530854]; [4392040; 96228637]; [48616940; 78220296]; [94100896; 54606061]; [53524942; 26159711]; [41397398; 86455438]; [93418709; 29686375]; [70586301; 56250975]; [55427759; 2344776]; [76040164; 97332161]; [53987430; 48188859]; [41183078; 52445706]; [58347734; 47213116]; [81067487; 20036150]; [4819234; 38031098]; [58676270; 76497126]; [36595938; 96688803]; [64645676; 39715242]; [5653868; 14815140]; [71684212; 8989265]; [24841499; 21404960]; [14846289; 63187012]; [80632262; 60517179]; [16193941; 91896891]; [61586266; 57173735]; [59744282; 63156318]; [25106761; 81523828]; [99009564; 48377227]; [66621311; 44915435]; [22495731; 10655016]; [77063841; 27954212]; [33550475; 64998388]; [53042895; 1569615]; [83133874; 70888884]; [76224193; 39830653]; [4776097; 71589016]; [49025957; 6010845]; [85558357; 10998771]; [45225796; 66153541]; [46329407; 69108806]; [35444430; 21633627]; [37451216; 57014361]; [89956514; 66296621]; [78395311; 14630280]; [23650821; 41525542]; [21817666; 51701578]; [74228494; 61406187]; [42889594; 84858904]; [80393367; 60901928]; [52406470; 23624302]; [29860809; 85489446]; [81926657; 90108773]; [51489904; 31568626]; [6144904; 79148913]; [68419859; 52346570]; [9579685; 8279591]; [28081253; 64758954]; [34617168; 24522619]; [82862537; 1556993]; [70459160; 47940778]; [86310898; 47637062]; [97708215; 8124423]; [91791693; 66798350]; [51856063; 61820475]; [13862849; 23558062]; [91136936; 72516768]; [57393939; 40915157]; [80503813; 64610335]; [75490280; 71175707]; [82401627; 92415011]; [45368711; 29973777]; [91029101; 70231561]; [29261044; 93089888]; [43505363; 42367543]; [19629390; 89480447]; [93802080; 96202354]; [69737744; 34523864]; [30633275; 82614009]; [56448723; 90925899]; [67256634; 45154447]; [17660269; 17132547]; [84365595; 99548987]; [7647867; 80898335]; [72810451; 88224851]; [1870629; 41105335]; [385577; 65600168]; [98888337; 91694324]; [53648248; 56440194]; [38298133; 16662390]; [58682365; 87039895]; [66258824; 32712881]; [46652223; 34416108]; [35077701; 49333337]; [20948509; 79711175]; [84881382; 2363929]; [17758179; 21094768]; [38179254; 90647879]; [38169503; 68129287]; [88470251; 76885466]; [87829791; 28359555]; [46048184; 98455918]; [98425222; 46471175]; [62010147; 62790477]; [49745800; 53811572]; [1814557; 4187478]; [12287750; 48374346]; [63707327; 61713269]; [80284100; 69757231]; [63594973; 3000719]; [67586581; 43581884]; [81512459; 54126881]; [14405910; 66494058]; [9222166; 52227553]; [36327999; 24923608]; [35951185; 91802073]; [58540246; 97171656]; [42222408; 15530652]; [55745494; 33424654]; [42073056; 578954]; [12404168; 6063431]; [47003178; 17161850]; [45548122; 13504218]; [70058762; 56929951]; [40469750; 27515959]; [45041985; 54075045]; [38800369; 10279479]; [50389118; 64986174]; [44541479; 95461864]; [33600264; 24389577]; [77981353; 381423]; [53601152; 72122227]; [95557257; 71799328]; [74516494; 95919302]; [44798086; 5640636]; [12739310; 10061955]; [38740433; 47605552]; [3773221; 90703168]; [86053178; 10798055]; [16109028; 25630205]; [8865156; 35149681]; [54591023; 84421983]; [88355778; 43004479]; [80398509; 86852446]; [88537252; 4146868]; [5754852; 28901725]; [4550238; 75225141]; [54140592; 6739144]; [28426650; 68720038]; [58556348; 66397681]; [17189528; 15322853]; [44533370; 16611331]; [62540363; 38442713]; [72239509; 36799766]; [66238875; 54113373]; [98894124; 32804121]; [34824284; 73506273]; [36871759; 60263472]; [7024086; 37595101]; [94159882; 48910829]; [21924397; 9864366]; [42081331; 82593250]; [35062975; 27962519]; [13515249; 77171459]; [37264492; 32354951]; [19898985; 88376791]; [13584902; 74131879]; [99096149; 45072317]; [93314348; 85782751]; [93386370; 38622272]; [89279076; 53259319]; [66563497; 60300820]; [10444054; 54679785]; [53013869; 44888845]; [31849229; 11777369]; [7497358; 54329161]; [95792498; 32174306]; [32881725; 2133931]; [41221380; 12357834]; [2654229; 75694084]; [64728799; 80812937]; [50693236; 15356575]; [96796213; 61887499]; [24379493; 14290652]; [96790579; 8295857]; [74080141; 83508562]; [84156734; 35048153]; [27858087; 66521587]; [28127446; 77621260]; [10322731; 82008834]; [49822948; 45519774]; [74112394; 31900790]; [21542717; 12347045]; [81668616; 83317644]; [22120187; 69356419]; [92901207; 63371634]; [17132308; 66033749]; [15748071; 36910249]; [27070835; 78100696]; [53427656; 51470179]; [91041861; 40460791]; [12985135; 53739897]; [12925848; 80464461]; [5246754; 72380041]; [980256; 20246484]; [10256189; 46223319]; [54006726; 44267469]; [56743285; 84782742]; [49595748; 40562951]; [83979190; 35388809]; [49790695; 74834875]; [99039711; 30645018]; [56341582; 52351666]; [18197662; 18707731]; [67806864; 48164315]; [67418995; 91659010]; [8251375; 74057350]; [32826021; 77816805]; [14083915; 99271197]; [16184535; 71344148]; [90883308; 30662041]; [66640361; 26377949]; [65148020; 44147324]; [42332813; 76708653]; [55250235; 79497947]; [45773465; 59084297]; [18934455; 52385943]; [33314042; 89718676]; [78190221; 65434660]; [96500264; 12466260]; [58726905; 78614819]; [48851442; 26086827]; [92833010; 93989226]; [2523155; 47011596]; [90519624; 12781047]; [55322737; 56027060]; [95308987; 38896075]; [54761359; 5327602]; [36045279; 10000404]; [94818039; 82832764]; [77060595; 81764315]; [91979505; 55885393]; [41465057; 53386310]; [36013324; 92400739]; [79078813; 90017293]; [19692591; 66135376]; [9107378; 60523294]; [55256542; 42950985]; [1961260; 80640821]; [45535445; 25638430]; [45919714; 13842618]; [68673476; 98560633]; [6112734; 73789328]; [98321461; 92529178]; [44645113; 33255374]; [66214348; 95925473]; [54560432; 8026548]; [87505436; 73031367]; [47435757; 26784358]; [18525533; 56784592]; [56607033; 10744566]; [78747531; 2479132]; [48226526; 18754539]; [37044295; 79244078]; [62786118; 86678782]; [21857273; 66918348]; [90912186; 91283710]; [36270488; 72708604]; [59184191; 79413866]; [11091733; 45079371]; [73788521; 76695426]; [92187975; 48235333]; [86669108; 51053088]; [60133067; 33684997]; [52039396; 35289957]; [65257886; 27588876]; [13980179; 29346718]; [95194534; 571043]; [67933298; 55400725]; [97550497; 40199108]; [1952093; 67511300]; [82178634; 74403687]; [92369863; 97949115]; [11369459; 87302392]; [55707207; 21264270]; [99578621; 92735431]; [10939017; 1194667]; [70847294; 12886915]; [2916622; 7407433]; [54701660; 16868205]; [35645404; 38398730]; [6649390; 96487445]; [69833418; 30905834]; [85613620; 58912074]; [60567280; 2598140]; [13897518; 80966263]; [44921272; 13502953]; [80680008; 48374241]; [94531843; 74310898]; [25720535; 77816514]; [65073847; 66645483]; [15157172; 33924211]; [28176388; 52194407]; [97039014; 33702877]; [43087154; 28439018]; [19484627; 82602252]; [89936823; 31962389]; [46345578; 81480489]; [42503952; 23549195]; [23881952; 98077428]; [23071982; 94329733]; [64036368; 38626246]; [72150382; 40128873]; [82714088; 60681733]; [41134011; 83843803]; [35879953; 24470291]; [73424623; 11223348]; [26643863; 18302805]; [28810348; 16087741]; [9693222; 92469544]; [99584133; 96692383]; [15319972; 58706573]; [44853454; 56623039]; [76625307; 56357539]; [75479996; 86147070]; [33685449; 66419839]; [62139977; 20718368]; [15069512; 12437184]; [45624336; 55636941]; [21825771; 85536256]; [61735457; 5320847]; [59801946; 13323380]; [55321709; 79589987]; [65505494; 89688445]; [96686242; 72983377]; [30562312; 62409728]; [77529852; 25862146]; [63401431; 40012069]; [96497116; 65102678]; [23229247; 45466190]; [32026412; 82420843]; [47272724; 42969413]; [37918302; 36736846]; [91629429; 42981368]; [81807360; 62012902]; [30930663; 16218426]; [88100670; 53098853]; [12079793; 2712433]; [37182801; 4929399]; [31293691; 27309839]; [88404430; 94135392]; [80282756; 86997984]; [96387935; 60728476]; [15345814; 99580270]; [95248254; 30798219]; [83984595; 19637484]; [42612315; 43090776]; [91746051; 5408442]; [55967359; 67957062]; [73524753; 54284427]; [21431914; 50122534]; [87953711; 16607614]; [37217008; 2081834]; [81047288; 24555187]; [58436214; 13211750]; [74562193; 64248339]; [38914917; 6511792]; [98389292; 62840793]; [46730507; 86955491]; [28994391; 64842294]; [89554220; 78365393]; [39204490; 2519294]; [66445439; 16489613]; [67893202; 60075316]; [95406903; 15928545]; [30910901; 80802866]; [75099525; 50687150]; [34278810; 65008933]; [99403859; 29710347]; [54959212; 66764918]; [57265366; 82328286]; [88535153; 13102891]; [36752969; 85243842]; [23251615; 88110744]; [97810065; 26661467]; [98850087; 37703748]; [86371843; 75901063]; [94950752; 84483808]; [75205056; 67064956]; [36745750; 15346705]; [52731457; 19047542]; [51906199; 95153117]; [72927376; 52882720]; [60540237; 13325604]; [546619; 78790460]; [23032038; 29604532]; [38180460; 15152863]; [39386820; 27111826]; [74794605; 49446692]; [53216431; 44318732]; [47016220; 50254009]; [85632214; 96084876]; [88516302; 92090012]; [97408276; 74415063]; [24813215; 97412080]; [54372256; 66910215]; [73479443; 55140865]; [16782136; 61576266]; [59692089; 94690415]; [62824116; 64400672]; [29793525; 56821807]; [20122384; 33882418]; [1133761; 92067012]; [22353332; 81303249]; [29988502; 62053212]; [95381821; 68718602]; [81441243; 11745171]; [77524869; 12810828]; [21975506; 83905135]; [15063415; 68955148]; [64777792; 24923532]; [98242387; 20008848]; [71463899; 44708813]; [72134070; 40806902]; [32042235; 39859738]; [16095231; 6703703]; [21655534; 56669205]; [70388833; 49203330]; [17500941; 58004452]; [40644549; 25421494]; [38080192; 52557624]; [43557917; 80419325]; [39177616; 65988368]; [80321787; 64206211]; [59636123; 63227211]; [79586000; 81939975]; [55993504; 60641421]; [84454205; 12324737]; [40647727; 24501109]; [24665512; 26293874]; [90665313; 94575417]; [7058635; 61188867]; [26339035; 47825556]; [10398887; 48962242]; [39410712; 25452962]; [46653960; 86064010]; [81555206; 97047089]; [93588882; 53625738]; [86934970; 72537463]; [73915155; 2799885]; [43062970; 82799869]; [99542448; 72893816]; [67245136; 2178066]; [91689157; 87015260]; [51323793; 71020497]; [94950077; 86614281]; [18989687; 83099528]; [11229066; 59881443]; [64796695; 49212350]; [99581025; 6431646]; [63996038; 86123665]; [63598280; 87309168]; [95627203; 88182270]; [11212053; 91795031]; [39482415; 69420715]; [15844773; 21030082]; [41338496; 97971729]; [96895189; 33944830]; [60093435; 67866262]; [93448589; 15598675]; [84449049; 65728822]; [89543254; 32737163]; [77511967; 6498089]; [91533154; 33254692]; [74833254; 50528443]; [98258318; 95284455]; [51422738; 15456966]; [40656075; 14737883]; [39437554; 32996]; [33298200; 15327875]; [76803163; 46637473]; [11603162; 78886313]; [13031702; 13861017]; [54670100; 40702923]; [35417414; 41344083]; [5798349; 32471099]; [1161672; 28754372]; [77873678; 57970469]; [96115018; 30452109]; [54218136; 90799434]; [98823330; 11458691]; [17215840; 27214170]; [87979953; 44681796]; [47318121; 14366318]; [23918595; 77593844]; [55779153; 42468475]; [29576844; 44959071]; [47536455; 20260504]; [84738836; 29189051]; [36965991; 3760491]; [69266066; 52746213]; [12694255; 18535272]; [80898971; 63753469]; [62394792; 3280707]; [80659084; 52947624]; [20944569; 66467965]; [5749487; 85230546]; [70241329; 52932697]; [48323036; 90654807]; [33247313; 2879131]; [6689965; 88763524]; [66210889; 63017304]; [21018885; 96314045]; [10384783; 87878010]; [90485535; 17320847]; [14920137; 64889465]; [81305063; 61591176]; [29032838; 75404359]; [60828530; 47091681]; [53913569; 40471231]; [36767976; 86011754]; [63162307; 40334202]; [98427283; 180779]; [26141527; 91990080]; [63803631; 69074228]; [4600540; 63649507]; [72386755; 59575939]; [21415083; 19916014]; [26692577; 27507795]; [78868831; 23575627]; [82742366; 71778728]; [89551289; 46532656]; [59017175; 73155587]; [67159593; 17215283]; [73768299; 28223695]; [56508603; 5038054]; [93312924; 88735146]; [99396176; 36585341]; [75159240; 50787602]; [85236767; 97056957]; [59045206; 96334946]; [38441777; 19700560]; [43725392; 15327624]; [45539182; 93138789]; [47837363; 22177075]; [21968015; 74281607]; [35688324; 30892138]; [7970868; 2203644]; [65928720; 88425694]; [61822378; 8942210]; [13761129; 63663008]; [54134025; 97556034]; [7811395; 58321116]; [47277548; 78207486]; [41631690; 69531751]; [79987404; 90300436]; [72120334; 63523925]; [29385015; 38924023]; [25710434; 8228871]; [65261224; 41830162]; [58308490; 187184]; [65771710; 11567471]; [34558438; 77182825]; [83412230; 54739728]; [20661037; 74280423]; [83946177; 41334664]; [79737995; 15306944]; [75716763; 21722217]; [43129954; 22095891]; [65500986; 45975731]; [32042764; 63843301]; [28421805; 48725824]; [76157811; 45435311]; [99077722; 28758373]; [47471783; 32072650]; [86096194; 8344384]; [96230616; 19185497]; [33175246; 12877193]; [18888017; 53197748]; [19687009; 3050150]; [68501061; 19011894]; [1808214; 57295983]; [84790995; 54130080]; [34231582; 65335802]; [28756319; 63480400]; [32798265; 39625424]; [80587275; 51773247]; [81307213; 90098500]; [64939780; 95721925]; [92062889; 65795436]; [61123183; 1529767]; [56701995; 81238024]; [82987753; 44041733]; [4403302; 18087756]; [17019388; 80304201]; [32542606; 64067031]; [69361585; 65887358]; [29855474; 35896323]; [8891540; 74694988]; [64421664; 75197857]; [74480920; 28378130]; [84793512; 55203946]; [18750221; 45799727]; [35665037; 75373410]; [58500756; 64877581]; [64970029; 193585]; [89437975; 61341920]; [93616447; 47952964]; [88134426; 76006388]; [99766264; 18057238]; [93104290; 66492223]; [24320434; 57245499]; [60724483; 40210215]; [53243863; 48791694]; [83568894; 87021889]; [82621675; 55320358]; [5698592; 3471923]; [33966347; 17149351]; [90228161; 61012725]; [84991172; 92965896]; [87891183; 92185581]; [96984338; 39180395]; [16750301; 73849783]; [67040658; 31656450]; [67138474; 99795086]; [59369377; 62965259]; [95638302; 72386194]; [79324409; 35360986]; [8414942; 32406738]; [37563538; 6599560]; [89962957; 8736691]; [51141187; 49277782]; [6333667; 792973]; [91453727; 12605069]; [50835073; 13146882]; [99488887; 65717979]; [59259355; 98547427]; [7064558; 71384572]; [27032573; 44212120]; [74350407; 71601204]; [40753857; 23089193]; [57762522; 59258545]; [7542542; 30034653]; [53673146; 3299387]; [21148039; 762255]; [54089147; 89593566]; [47176964; 71789526]; [12463600; 68313023]; [59996173; 76435416]; [14513626; 31110118]; [35777060; 93944405]; [75705618; 77414501]; [92398178; 76003196]; [41691574; 64355199]; [63475336; 65915439]; [31546484; 67589871]; [96721247; 31257470]; [33412960; 75040449]; [81346450; 77349490]; [55060744; 10361660]; [65483888; 87889515]; [3123832; 52637718]; [24673097; 48932257]; [88985072; 82524076]; [17778144; 60885166]; [14895106; 8999452]; [87211151; 81136856]; [87579061; 34406184]; [50625854; 77013059]; [23104951; 18954963]; [50010966; 15547331]; [26818255; 9879862]; [87013208; 31238112]; [12083846; 35084170]; [11238296; 31223995]; [7142142; 45525095]; [41628155; 34056617]; [20503611; 15908058]; [81962417; 10005601]; [65784482; 41541829]; [39626304; 26671802]; [1462552; 11625022]; [55039876; 40576988]; [27612157; 92869915]; [82862452; 78754941]; [80207794; 77391291]; [63552961; 17527531]; [253896; 94921468]; [21133591; 29954237]; [85582444; 79490495]; [99271005; 25719952]; [36707561; 27446117]; [84273254; 32371802]; [89631140; 91955291]; [31401823; 9879485]; [87459859; 96217950]; [75420835; 13530011]; [79462702; 73507700]; [9777663; 63879294]; [4084586; 4087314]; [71006565; 23147629]; [67478693; 56729254]; [98263403; 84223321]; [52252860; 8703515]; [78927460; 24358791]; [52376760; 15462040]; [5336830; 99808599]; [26786982; 59084267]; [24232268; 78202372]; [75619629; 54089862]; [72275283; 28482605]; [88936839; 79276704]; [961526; 59790680]; [68151118; 42409453]; [38253903; 21458852]; [55989330; 15034076]; [52360086; 19127395]; [21865724; 5132902]; [2185878; 42033401]; [34965401; 73738030]; [64612180; 60311145]; [2107348; 55806977]; [6506510; 25887053]; [95666066; 66476593]; [57148275; 8894338]; [83522876; 2382043]; [65852251; 69405277]; [64529754; 32206947]; [98555080; 13640939]; [31805059; 24043492]; [36851083; 40670501]; [97723299; 76231032]; [27875573; 92629459]; [36607622; 87232203]; [20150950; 44124456]; [77566890; 23301380]; [69085538; 78162442]; [94201033; 1850665]; [56504581; 80798274]; [61339294; 81197153]; [25616444; 70174287]; [22431769; 91263395]; [24520738; 83456313]; [70326309; 33165732]; [65552412; 86065199]; [49027164; 21554755]; [33521690; 38404056]; [39827922; 2868230]; [32223933; 58392760]; [87180298; 88415217]; [58524716; 86961400]; [58396306; 38136174]; [60849325; 92221356]; [54810072; 721725]; [36269520; 28937281]; [31997533; 72168345]; [8762181; 20859809]; [70416924; 28826176]; [19851465; 88614219]; [72360419; 16424671]; [19281247; 15651375]; [90495172; 16410355]; [25238352; 36273330]; [11923831; 72971550]; [8320960; 15697133]; [308032; 66615450]; [26460195; 95185016]; [1182742; 19117403]; [32137919; 56016419]; [52132008; 99796589]; [18126470; 49207686]; [96904461; 58907679]; [80780394; 13450242]; [4713277; 91377234]; [555364; 15800903]; [24725334; 70122560]; [50321813; 35444291]; [13968513; 4552743]; [10455109; 13546418]; [21978732; 91118306]; [84583714; 22699536]; [45178113; 21430586]; [25181684; 99152856]; [79876333; 37619711]; [88590150; 3091942]; [61951417; 39569374]; [84917532; 25371701]; [29970398; 93817052]; [89702643; 32594546]; [76121970; 82154283]; [28589444; 24547295]; [23171119; 67014029]; [65989060; 5595267]; [77792664; 77547097]; [27274228; 35583750]; [93279525; 98558326]; [46295987; 23409201]; [52880793; 81782749]; [66958218; 34179806]; [76234561; 81101314]; [13020334; 30931780]; [59683729; 72568043]; [84779911; 91707715]; [41640498; 83396875]; [38448430; 70215685]; [24976197; 90270499]; [40098928; 70993005]; [35637388; 84713581]; [10028943; 73952437]; [52277926; 59458340]; [94864947; 73347639]; [82804890; 13857526]; [3116648; 74712844]; [40161022; 42100196]; [63999482; 32086893]; [58154303; 30637126]; [70378688; 69338110]; [59378065; 16654108]; [26947299; 20934098]; [13920482; 14556484]; [36968122; 65996727]; [64564764; 9534819]; [51276428; 85924633]; [7416310; 90791747]; [35820472; 2386170]; [51382753; 79244790]; [38853638; 51173122]; [66116534; 40172003]; [1395765; 81490488]; [65181985; 69866687]; [21548365; 49048898]; [48758523; 71176640]; [93449519; 74890856]; [2785207; 201611]; [42100515; 2259098]; [93215116; 60868408]; [85080697; 72126881]; [97847185; 58018270]; [76830318; 92998550]; [79813440; 16348276]; [80456334; 78300229]; [5091785; 98738745]; [53282138; 64028810]; [30099104; 60024702]; [36208137; 98242054]; [7793413; 95866850]; [11847426; 92004501]; [22546769; 50921750]; [39987234; 78003500]; [36028839; 92354397]; [4071376; 15612141]; [5154384; 15012799]; [3661361; 83594683]; [12337797; 42375875]; [58971317; 47203427]; [97496528; 7725219]; [63591292; 49615857]; [8398666; 67973850]; [70619297; 99387259]; [64053854; 48753769]; [24236672; 93918109]; [3223458; 39047225]; [76369058; 91609383]; [16589459; 52910007]; [98459276; 69551880]; [37991223; 29358808]; [50649959; 34598817]; [77755096; 50136746]; [15239632; 85571071]; [8377397; 75283715]; [44222892; 57951408]; [93491788; 68430670]; [36799561; 30034757]; [6721945; 22518079]; [47903028; 44130683]; [78283577; 63340081]; [99193195; 26376798]; [34040176; 29421633]; [23721324; 60883995]; [99541928; 80779452]; [85199587; 21815680]; [35502380; 76606595]; [61597008; 14271874]; [50766686; 23244627]; [2556760; 29104431]; [39669105; 93540084]; [43420854; 87509064]; [23955009; 58802648]; [9747435; 6523138]; [29107014; 59812108]; [84137577; 88323331]; [25844388; 31940618]; [41492540; 33729057]; [72637721; 2940660]; [14254198; 79649154]; [14015808; 77747863]; [97479503; 51244116]; [18504727; 64380349]; [87289209; 28853247]; [22855111; 62179949]; [29568150; 86808115]; [1992055; 25633080]; [34464594; 55837064]; [37373739; 10532291]; [54644882; 83334702]; [19011057; 87030585]; [18824087; 7157583]; [91617988; 63957560]; [39302014; 77366186]; [75721122; 59906757]; [14764670; 64617032]; [25977384; 37387971]; [32039334; 33458556]; [65870511; 11457438]; [33380035; 58955264]; [62515262; 10144057]; [83659232; 65886746]; [67144820; 50261403]; [72275968; 52188190]; [5920137; 90650275]; [61376412; 69227692]; [9636567; 76049173]; [31773822; 62451875]; [23405682; 27910628]; [47656740; 6308647]; [69613047; 49186732]; [80165183; 70317829]; [84173089; 50327370]; [57557993; 90830635]; [7546098; 21015241]; [84397322; 30426417]; [50564285; 5686789]; [70934860; 85641521]; [86273323; 52851829]; [77142318; 43680717]; [78779821; 29449515]; [71088406; 70465990]; [82851969; 39500332]; [50457311; 91796885]; [17280437; 39909644]; [76544926; 96390478]; [19288208; 42262156]; [936798; 41704550]; [84505745; 56125350]; [49950123; 33655946]; [98451381; 1694661]; [55156692; 3336854]; [7492874; 46242992]; [76939721; 92000001]; [23993569; 41022911]; [40810216; 27327885]; [38527754; 29484045]; [1393835; 40845875]; [3665409; 64150628]; [7057500; 65453412]; [49677154; 33220195]; [32507045; 66106261]; [33893901; 4101709]; [86375975; 72949099]; [31320150; 5386287]; [41837935; 64246831]; [95605499; 86945882]; [13447623; 80261225]; [52255455; 75415804]; [27893129; 64667447]; [87780009; 38294995]; [72341159; 12214680]; [97794137; 33227395]; [66052634; 66582527]; [79346195; 45394652]; [70998642; 42525255]; [12413991; 70187023]; [36350796; 85835382]; [34160152; 1597742]; [55287585; 39887680]; [99304664; 1472023]; [22145724; 14008078]; [80881676; 91226805]; [43221738; 93693045]; [64729224; 1816742]; [94349217; 24590256]; [65284487; 96718547]; [20661911; 31429658]; [57777140; 27358347]; [12815332; 65642900]; [10984710; 41547833]; [25656099; 24742930]; [32232248; 39488280]; [83256397; 12936619]; [43712703; 11140819]; [89396679; 83879201]; [66349734; 60760253]; [47475330; 78357778]; [82897548; 61537642]; [62377328; 46497968]; [90276833; 73670430]; [32743452; 88408042]; [17236664; 6099070]; [99260512; 54403491]; [46967333; 86083068]; [39834467; 55606893]; [5387694; 14425679]; [78067297; 89419732]; [74738415; 29076800]; [77241077; 37644549]; [19908351; 46418111]; [18112636; 70727978]; [71240847; 88825588]; [41554491; 93456673]; [43016498; 51485255]; [42131495; 10155773]; [70397003; 5946108]; [98354834; 48976894]; [14933246; 81848844]; [76438944; 3857235]; [37299096; 60438148]; [48140445; 89102081]; [91110354; 39720414]; [36349217; 12121154]; [83040033; 463503]; [1924264; 60364628]; [11776240; 59820519]; [14024961; 22496681]; [33132360; 57949363]; [587149; 86125530]; [28956589; 28546184]; [38576678; 65519000]; [22680391; 22154092]; [34679727; 71646571]; [5280556; 5896696]; [66359913; 68345888]; [26924090; 64098022]; [71923429; 56192321]; [78591539; 34677564]; [77561529; 17105628]; [47349359; 4566307]; [63440137; 33642941]; [36362348; 86072713]; [53370355; 90477695]; [94472848; 80750857]; [75409073; 59574472]; [81230405; 5229340]; [11945026; 64397401]; [9607401; 78262547]; [89102344; 49257806]; [43367504; 38451990]; [16252288; 7932370]; [45570582; 59368332]; [14099559; 74067485]; [52492324; 20575878]; [22008447; 28149731]; [54133699; 7927449]; [96496954; 39720450]; [37259355; 26298394]; [99108415; 7928289]; [59111833; 34033799]; [21337091; 10609403]; [9052180; 52047275]; [79278310; 82280719]; [15644279; 88916588]; [25934676; 1935241]; [29928854; 17204525]; [75199970; 50049676]; [34510261; 96501299]; [32234868; 37520257]; [68423540; 6505421]; [2712490; 4878154]; [1125371; 39486049]; [63158212; 57070964]; [1983180; 79340341]; [65014273; 42761537]; [2144248; 633697]; [95893129; 90266899]; [84169346; 12071484]; [55071460; 19037681]; [6288537; 43806416]; [76244308; 37277548]; [61659272; 57313630]; [50440416; 42064767]; [40278489; 18094819]; [64924231; 9644653]; [76799750; 88774910]; [49711642; 38631661]; [17186234; 48226447]; [25068799; 67456061]; [26593011; 12272322]; [3404164; 88926955]; [53499517; 74898944]; [23584082; 12505557]; [83503059; 8624594]; [10315960; 40012701]; [16565882; 95391363]; [40982490; 25543365]; [81400119; 96041009]; [42797379; 66541651]; [60802668; 68424041]; [43458438; 95518649]; [20174019; 64085915]; [83260244; 94970011]; [85999351; 46496160]; [90056409; 44063467]; [9280267; 30915990]; [90227772; 3168725]; [97862779; 14568279]; [69992478; 39670988]; [51135586; 46215216]; [52287726; 51267774]; [82899011; 44846988]; [11917349; 81791631]; [82071205; 13033631]; [13776314; 96281041]; [18219403; 84952038]; [17913867; 44190432]; [25985804; 6180083]; [23864689; 7321259]; [93918803; 46608952]; [81427095; 63916387]; [16804912; 78161231]; [78160903; 89321583]; [69215638; 48671936]; [14271248; 85359285]; [83390443; 31296560]; [5949613; 63469546]; [1509518; 81350604]; [55993659; 4404474]; [59579391; 6403209]; [75776624; 80134643]; [58189933; 55728564]; [48619335; 3403048]; [72362590; 5955923]; [39525504; 9898200]; [81861983; 89903032]; [28912821; 98613251]; [86167865; 90508639]; [91565252; 75503960]; [81278990; 96612820]; [69769524; 5045354]; [37733079; 80097819]; [72102691; 19038248]; [27137398; 81355252]; [77409070; 10843432]; [74184413; 52120569]; [32435904; 6975821]; [72662833; 21281241]; [22546894; 81866726]; [65503929; 39383811]; [82641779; 63893959]; [56479544; 34961323]; [27021980; 9692735]; [50832343; 86730148]; [98318101; 22740968]; [65866237; 91661233]; [44551116; 78497819]; [54127760; 45231560]; [69149217; 49253109]; [46832418; 83993473]; [35537826; 91016706]; [84685889; 54802670]; [34338815; 3357084]; [10837511; 92824460]; [44959993; 77489380]; [59071826; 46878993]; [44201827; 34566722]; [95842532; 18816127]; [68891977; 91443310]; [95159701; 79309770]; [65701390; 96148747]; [57107736; 7443501]; [20737884; 67052108]; [59741992; 17867462]; [78766626; 74731171]; [77794902; 90218399]; [94425062; 30816125]; [5279916; 68403965]; [87086575; 80058072]; [1797843; 93412931]; [88040934; 65355719]; [32746074; 65243088]; [50355113; 931425]; [21848234; 64361065]; [81279467; 55289942]; [83891318; 20374383]; [69070772; 10461999]; [34967364; 53738082]; [31114822; 51796170]; [14812760; 29118747]; [26559300; 16194011]; [93616146; 3274605]; [74311031; 92215366]; [71432865; 59628672]; [31739714; 79420096]; [41175886; 5502562]; [93635126; 80779273]; [1208373; 56077810]; [56595597; 92951431]; [91920184; 46765511]; [21765060; 28721515]; [19119283; 71614868]; [38704483; 32981826]; [42997843; 61053308]; [30819967; 32202022]; [80822345; 9893635]; [79763625; 75855817]; [94400491; 76741664]; [64069679; 33602321]; [89575612; 13687955]; [27308011; 62877770]; [11828581; 9620970]; [50873481; 74923704]; [18206154; 1766695]; [48119859; 74284581]; [39131851; 16726629]; [20012307; 73408615]; [15475201; 17623266]; [51691317; 2147647]; [85759123; 75198029]; [72267080; 83362020]; [1417900; 78665490]; [36352801; 75168439]; [66977811; 28256966]; [40821077; 23360123]; [76367631; 41076054]; [26727375; 98798177]; [71402849; 42229902]; [88427197; 80020374]; [31881972; 37495861]; [14537324; 36296572]; [20158171; 46561884]; [3498466; 88718885]; [47680273; 54781993]; [90592032; 63584161]; [22945067; 64076573]; [34637349; 27620993]; [20395293; 10139532]; [26031063; 4027871]; [4094220; 27337662]; [64224116; 1134840]; [25273868; 22826853]; [17667762; 84432185]; [10615201; 50968723]; [13643397; 82321598]; [16959844; 86609409]; [18716149; 78263135]; [61468703; 1644224]; [9139363; 72179999]; [14522933; 5584093]; [20254511; 86542716]; [29626846; 92057678]; [86470451; 51398242]; [66617311; 14450046]; [25636542; 41181946]; [76368684; 44736564]; [71045161; 57796910]; [92658051; 59562999]; [38034772; 45276458]; [4312350; 91425051]; [95344075; 38458996]; [43870826; 85584328]; [96530184; 68757529]; [11417092; 68300633]; [61653098; 18532252]; [18361898; 3482472]; [34150700; 22427391]; [24546515; 10401396]; [28507828; 21650312]; [59805487; 88971747]; [29393899; 38832737]; [83167110; 95882590]; [2818504; 34474897]; [24727427; 29393436]; [73833595; 40275544]; [66061137; 67110771]; [5255241; 62212241]; [77412640; 52892386]; [62809419; 41621804]; [7129011; 62045799]; [2784008; 96140674]; [37928738; 63496850]; [54948132; 19246301]; [46799214; 81635245]; [7502950; 32282654]; [11654061; 72107836]; [61140278; 89512723]; [56615666; 2535463]; [19947845; 94024596]; [53740561; 84732823]; [67468136; 90738559]; [61596119; 73787844]; [98150529; 72884484]; [31465059; 25836649]; [27519361; 24296776]; [80142228; 41826917]; [32295886; 7213414]; [54573783; 38921493]; [97036063; 62813065]; [58319199; 78988085]; [10570475; 46773223]; [28468573; 24474364]; [44817468; 36474509]; [25136288; 10293161]; [24199836; 62995076]; [8837369; 50615040]; [93761762; 28483307]; [93565346; 87532866]; [5047692; 48389327]; [92972638; 72717757]; [97955064; 47316799]; [30705006; 79886757]; [42335236; 84184227]; [37449723; 84760534]; [88011220; 94080905]; [83414156; 64566177]; [72692321; 59496587]; [6236242; 82957813]; [37076618; 39308136]; [89238853; 23257792]; [87332988; 32756544]; [38476226; 87174248]; [69859081; 19935271]; [33007638; 59097756]; [13820871; 39098172]; [61328313; 71761657]; [60151662; 44975417]; [83284712; 27350792]; [31928235; 39185187]; [79986494; 1056756]; [26276550; 11413170]; [73478012; 93169283]; [54861734; 62803626]; [98513413; 61436298]; [50333456; 68907291]; [11815513; 79685904]; [1044238; 44470526]; [13261564; 19615674]; [41063894; 88171598]; [99750186; 49909219]; [99271337; 1601283]; [3808254; 54102163]; [92498227; 64702242]; [19248866; 7984636]; [14560052; 41814832]; [36250996; 83601628]; [84800160; 39630745]; [81484207; 21608202]; [11114474; 63343701]; [61537832; 89947607]; [94085644; 34436850]; [67800165; 46223476]; [74339488; 13416747]; [64422024; 53386574]; [11844709; 51003731]; [95422692; 98574934]; [3050253; 14697210]; [81412827; 21933725]; [99498916; 92016984]; [71276972; 32070358]; [23444994; 67947323]; [22240540; 75221702]; [81834626; 50238899]; [94064491; 25408866]; [69856386; 77542097]; [98040357; 41814410]; [53378486; 54890299]; [47742647; 82279468]; [71968306; 22171672]; [76258886; 62839305]; [33555128; 64430849]; [12085978; 13724549]; [81621853; 90118231]; [1584895; 96552635]; [95921902; 84596370]; [71464050; 87904052]; [88678912; 87186613]; [31398917; 18979363]; [8258124; 41648728]; [25918806; 88861640]; [74372518; 4504702]; [30809099; 12274653]; [37335775; 77501961]; [57726103; 51973771]; [4525148; 26684443]; [46251935; 2676061]; [77590052; 22977610]; [858692; 5232102]; [61568798; 47853022]; [29561901; 69983217]; [42932201; 47679788]; [60925633; 84505397]; [55879197; 60595724]; [41167052; 59588439]; [5208444; 51877220]; [25051756; 82897599]; [72713730; 95778057]; [72373069; 62610130]; [90776865; 64306285]; [2325093; 89547140]; [6112941; 46179259]; [35913586; 91352045]; [66084093; 43725893]; [92030332; 95514486]; [42104153; 28461896]; [73574873; 88842239]; [11730524; 37465504]; [67119330; 98344163]; [65936329; 99787372]; [62659530; 31766263]; [21817873; 41356778]; [59306403; 48446514]; [94420356; 6803129]; [58555656; 16583966]; [6655761; 55528593]; [98745220; 22287060]; [16072886; 93459406]; [32809678; 59123087]; [69904830; 98079374]; [43023053; 93308144]; [73630240; 51672904]; [61254453; 16760226]; [52419733; 16003445]; [12232147; 12037778]; [88394741; 66918748]; [87926059; 15978882]; [65500696; 6673285]; [63807934; 54173895]; [31907322; 18649257]; [46299989; 98344742]; [16213651; 4118645]; [56936783; 14891409]; [52578188; 91933771]; [56234100; 91196750]; [12936008; 55840301]; [93227590; 6352060]; [84505967; 62786109]; [9785624; 80616033]; [49709455; 69431770]; [95990727; 9909039]; [24217460; 45459359]; [7503703; 64735830]; [45635328; 76213946]; [54326029; 66458649]; [1526474; 41565315]; [36860659; 20047276]; [82026298; 57594440]; [32845662; 30966463]; [4523876; 52991195]; [64935915; 75158354]; [771925; 63342495]; [22672832; 93846202]; [6865136; 80054119]; [27697133; 88851176]; [75988352; 35023425]; [53088070; 74110373]; [49620532; 48500138]; [53508186; 93691856]; [15165454; 77215641]; [14683915; 59207680]; [3070495; 36235467]; [90765289; 85190939]; [54647891; 37467595]; [87979849; 42772099]; [11488206; 45589764]; [36196771; 60362278]; [13760938; 4967073]; [5685009; 82300849]; [38063643; 55902011]; [12644688; 82116512]; [66815701; 62703212]; [15887103; 79137764]; [96397117; 42239824]; [65849404; 24913090]; [98677128; 68584079]; [65234272; 65584711]; [51958231; 92102906]; [52743552; 90527308]; [60469705; 65818408]; [57246835; 56844686]; [30113498; 67462141]; [57385360; 30488403]; [78101244; 23167845]; [61456575; 56659614]; [56649237; 3645971]; [48507233; 47661146]; [84437442; 16080187]; [61217067; 91057982]; [37495168; 31641132]; [4787139; 78504407]; [77132523; 14362364]; [64866752; 10470471]; [43009680; 88682472]; [21426059; 19800527]; [90340918; 3965927]; [70625875; 94854838]; [52976996; 17026598]; [60711934; 33758895]; [13539678; 24608335]; [37717259; 49071871]; [82336213; 34454143]; [95452067; 15544417]; [96223859; 81937943]; [11487095; 16886221]; [81714301; 32542420]; [69487894; 47783859]; [1574366; 47277772]; [19884021; 28894589]; [98436517; 70212667]; [68314240; 59370282]; [57007999; 46084848]; [75425200; 68178495]; [2948192; 55481333]; [8241230; 45707280]; [26638628; 68597658]; [24145489; 7272523]; [30130558; 20027605]; [12423783; 24048557]; [58221269; 44417242]; [98967459; 22254881]; [73123323; 81781618]; [77081824; 37196645]; [27604493; 94925556]; [89882399; 68626781]; [41668440; 14701836]; [24505666; 38715378]; [56314404; 37441135]; [17690827; 81121813]; [8891938; 84659484]; [7294894; 85982734]; [17515177; 23971611]; [3459951; 53334756]; [89614998; 40524104]; [52842955; 56237139]; [4565982; 482919]; [20508317; 71216401]; [15006687; 41323058]; [42064880; 74769916]; [74237961; 29352379]; [44659345; 2109758]; [71442108; 93022240]; [37385011; 96963154]; [3465404; 46697670]; [57002014; 77809909]; [18886362; 10671276]; [27811876; 3359570]; [19435451; 67406541]; [12732075; 89725333]; [95619745; 61009962]; [70675946; 63778378]; [55166002; 79772380]; [3026899; 14190066]; [20001883; 78616793]; [94337485; 40167081]; [3566003; 50950322]; [73562089; 22594870]; [78965344; 85984644]; [94143655; 37816629]; [27779605; 26278763]; [57414748; 35177360]; [17375619; 75204661]; [67107218; 90602102]; [89546087; 42395476]; [3250806; 86797378]; [92432832; 49240113]; [86015197; 20717079]; [68468904; 73161014]; [29784324; 87599795]; [47210109; 74182651]; [67672255; 15522198]; [53010072; 64154401]; [69546932; 40085123]; [10610830; 77770004]; [78728469; 28601634]; [46743784; 13797792]; [15560501; 6272380]; [35757693; 32005830]; [51179519; 55058947]; [11658850; 10938042]; [7397733; 90390869]; [83369475; 84125475]; [55521108; 32933529]; [28555244; 88483728]; [7536574; 16270171]; [44909652; 53607758]; [61069163; 79217850]; [88656910; 57175942]; [4992563; 23589032]; [53256288; 50227592]; [44348349; 63981185]; [86963585; 57138206]; [46705532; 57139059]; [418556; 44785258]; [13786176; 22392412]; [64067123; 26944749]; [24495927; 18965761]; [88313612; 86221516]; [55290549; 8235910]; [78653295; 73353821]; [18044499; 22809742]; [73545000; 92651559]; [78358253; 76776552]; [90495859; 7048239]; [85424088; 70966532]; [20234234; 52238100]; [97844023; 25763292]; [75485420; 65659464]; [1784612; 26030256]; [90263661; 54804651]; [78733367; 71388598]; [19982160; 56893649]; [50915804; 56675758]; [6676755; 85194494]; [74509717; 33140729]; [59726294; 91214477]; [30860241; 82008348]; [95319777; 26359120]; [89942418; 33721110]; [27205522; 36559008]; [49578650; 78051024]; [64152730; 43527853]; [17428486; 59108162]; [5014923; 38902535]; [58459165; 49551400]; [98891884; 12892679]; [16206296; 64243301]; [13356958; 60229388]; [54931383; 1199779]; [45035211; 93914073]; [22076641; 89904319]; [64128985; 66291003]; [16236586; 43773953]; [27478602; 46082698]; [81552705; 99472610]; [49928592; 81555668]; [48984822; 77725441]; [79138886; 922505]; [88314868; 12372362]; [46524576; 68797240]; [36017955; 98930067]; [24348775; 45138070]; [95898294; 69586000]; [68855051; 16003893]; [97493586; 46111276]; [8597467; 56175129]; [64131719; 93523296]; [23909300; 83150331]; [46671307; 70462362]; [66186803; 92831693]; [71622792; 51441697]; [51307763; 28994158]; [92607783; 24046561]; [98754012; 35534606]; [26741944; 21444113]; [33279553; 72841032]; [47401494; 39839026]; [64312340; 31012430]; [82307991; 11370846]; [38222405; 14666227]; [94966026; 26014313]; [92014625; 40917834]; [37300190; 44466024]; [80595509; 1197076]; [13553782; 81390881]; [21916115; 71420185]; [41107625; 37194042]; [85410021; 91601147]; [39183981; 27786984]; [99916243; 75917408]; [71149209; 35574453]; [74700205; 16719444]; [87410908; 43707995]; [92731113; 48431396]; [43110047; 64667614]; [77585283; 3548224]; [60613461; 3394991]; [63333868; 19279399]; [20545402; 6941397]; [93073967; 42932624]; [40059423; 84032950]; [73798924; 76394380]; [71348090; 21753095]; [77933420; 41907584]; [48762152; 86505344]; [60368059; 26263746]; [14809125; 17462929]; [82781303; 81282776]; [98843258; 93062983]; [43739977; 89899061]; [86330486; 84280780]; [38586277; 57196165]; [58390376; 29106382]; [5266665; 52018991]; [63756671; 53485319]; [31549561; 35866948]; [59990283; 41714308]; [53329849; 29419295]; [8680295; 83586201]; [23075333; 94554497]; [71556696; 65453172]; [94540276; 54300031]; [72058178; 4326031]; [25306937; 68467193]; [82154603; 85582821]; [36690751; 29556275]; [31914339; 28559350]; [59982383; 1142917]; [20852477; 46436532]; [15067008; 80744890]; [61497184; 5582681]; [92098926; 41403447]; [1396536; 63463380]; [91390934; 85124361]; [76618528; 8474559]; [26777682; 27620930]; [96893878; 50285143]; [63351990; 8847284]; [61111022; 56196871]; [59101700; 72031926]; [24304708; 87530130]; [57761870; 73578780]; [64816926; 33195322]; [23518207; 9561140]; [55951654; 29488636]; [83343641; 78660511]; [95316798; 51320824]; [68760271; 60270977]; [54104511; 23417751]; [97420196; 11912456]; [60369491; 92655986]; [32258862; 97648670]; [91702402; 3128754]; [48258711; 40988373]; [7111202; 97556614]; [49703669; 32806238]; [49277962; 70461310]; [80062772; 34906937]; [61042040; 84675594]; [85100710; 44604513]; [93230199; 9682477]; [45006677; 69105584]; [70998076; 15100562]; [33989874; 73821642]; [70928390; 70123069]; [27298480; 92310324]; [19655113; 98657823]; [91488612; 97024655]; [86642074; 25124322]; [33646288; 99335530]; [13037149; 84520065]; [38251412; 13015228]; [2130269; 85711445]; [93462360; 430326]; [19206184; 53618578]; [78814410; 8771558]; [28320707; 63766939]; [46756910; 99703100]; [6287799; 92123543]; [44015875; 47074236]; [97787220; 86858894]; [51234355; 92549528]; [2815316; 93122736]; [63869199; 20887421]; [99283686; 65989182]; [69113578; 99014079]; [30305520; 34274789]; [80291485; 8216143]; [18370672; 48121940]; [30128081; 94013322]; [5799566; 28150413]; [89063957; 10618210]; [53154926; 16725867]; [73083375; 10527299]; [14415510; 92036147]; [45758877; 97816553]; [37935738; 44405399]; [25410315; 47357801]; [57267618; 37604380]; [4050557; 49316696]; [22826936; 25107792]; [41168988; 47545694]; [98422949; 61800774]; [36238642; 44696290]; [21561349; 4041410]; [72749791; 35594647]; [75677561; 66127074]; [37687179; 42282139]; [93648351; 4810515]; [70316754; 72981687]; [63781442; 79653528]; [69685910; 48866691]; [72356060; 50255465]; [28554353; 54908826]; [95666803; 82523008]; [92317267; 43762226]; [13993516; 49130753]; [45771320; 71953562]; [38973222; 3958678]; [90882245; 34287859]; [8883669; 55115468]; [68208723; 2239729]; [18042804; 72329511]; [51366783; 3387843]; [89680280; 11633687]; [51723065; 4456331]; [15459328; 70398761]; [91712183; 28192]; [40673102; 35901320]; [96463654; 27383259]; [25215846; 57982724]; [37157109; 56700350]; [52556631; 84501825]; [66476536; 48634674]; [45712651; 37067332]; [22311665; 36563816]; [40090481; 24448233]; [94917807; 47243499]; [22625475; 69622994]; [28552234; 63623883]; [26815923; 97587771]; [84647606; 13242465]; [43845450; 15636825]; [12131424; 50402661]; [73109884; 55114053]; [51223146; 47344616]; [29431177; 34711393]; [75985558; 40415536]; [32508602; 24397515]; [25648560; 95850100]; [65128832; 47648155]; [18393576; 98732180]; [13679810; 74239626]; [85483678; 72404982]; [16422054; 83304884]; [88868494; 48310710]; [54410644; 91243938]; [52341860; 4915464]; [61794873; 88874049]; [31805071; 99745813]; [27437442; 74909464]; [99711090; 85118856]; [71864266; 86172323]; [60907033; 64029949]; [55592691; 73303136]; [55516052; 20863966]; [43717610; 15097063]; [69823302; 71398613]; [77153980; 33864755]; [78996758; 25692268]; [83178331; 2534475]; [97339240; 64802888]; [47708659; 68375946]; [68849591; 25831015]; [89047593; 98401516]; [19276645; 80270588]; [46560887; 27343622]; [29035148; 92353961]; [87023066; 74080228]; [44974368; 88736401]; [89063769; 88820939]; [76782369; 92161254]; [61485208; 14253643]; [3059913; 84940525]; [58233961; 29929841]; [54113056; 70988321]; [53078830; 57153690]; [8991001; 73119035]; [25481107; 20831050]; [83448037; 72194730]; [44306760; 55853490]; [78091985; 27700722]; [7860502; 81450038]; [29913255; 82324229]; [41149732; 74699052]; [58371508; 97069042]; [69286646; 68759049]; [56087190; 25659452]; [11126697; 2735609]; [28505593; 88309609]; [59397976; 30401507]; [67982688; 18226342]; [48986371; 49222665]; [22027846; 2680107]; [30525318; 35201803]; [46314688; 29350579]; [48082280; 68614459]; [86819704; 22338529]; [77504852; 22548823]; [10530415; 61304783]; [24981079; 80262006]; [2191132; 45135330]; [13239536; 11680383]; [21144503; 88959418]; [33329239; 14193231]; [79166681; 295302]; [96444145; 48073287]; [48257164; 51665241]; [43018326; 84027404]; [34230453; 87546621]; [89660832; 46754697]; [26004856; 26278821]; [68319235; 93061933]; [29034919; 22846768]; [4094628; 78154646]; [38345316; 32083397]; [49006372; 94989975]; [81410348; 61141364]; [84224062; 86840285]; [88566521; 29213827]; [22970394; 72458441]; [17325706; 88983302]; [79576175; 13921704]; [61659019; 57606999]; [40225242; 43945505]; [74813058; 82893471]; [5389679; 72460951]; [32739326; 27283290]; [29119817; 1925279]; [73739882; 25471838]; [50796917; 99038765]; [84495605; 65669940]; [46326779; 74215716]; [58707515; 17690062]; [99429135; 47802944]; [66930931; 6642872]; [3867328; 65957477]; [58203464; 5831873]; [34551268; 92065812]; [69347114; 9510785]; [65145502; 5440537]; [88445293; 35687301]; [78351905; 84823126]; [39597264; 78175340]; [12018399; 76276203]; [43613668; 45817767]; [89727670; 62980751]; [9758988; 78798422]; [35297741; 86966422]; [41366132; 3260251]; [31370721; 2320522]; [33224838; 77822050]; [13916287; 72108667]; [8415776; 94050664]; [35302724; 19474019]; [69129414; 52919346]; [88311115; 48554657]; [99789840; 67817331]; [95131253; 84672244]; [6938541; 44316671]; [81523081; 73578160]; [43878286; 35476237]; [46222109; 11982621]; [63365312; 51511883]; [47957510; 22794799]; [6697035; 47320208]; [93724626; 81335606]; [1884433; 20311864]; [95101436; 68805095]; [69077403; 1639004]; [27708665; 60958382]; [15750821; 5102948]; [26050759; 55436741]; [41609280; 17424117]; [32074323; 20289653]; [76015173; 71319473]; [86579443; 44856498]; [90927774; 4580193]; [85617737; 85802796]; [48529958; 6138113]; [24162601; 31950602]; [11255285; 87180831]; [80808316; 86878205]; [3544314; 91170231]; [35261930; 74506628]; [57233534; 92579630]; [53229263; 37385978]; [66123760; 13956294]; [87555136; 58977348]; [99185490; 88231194]; [47126815; 26849057]; [40520979; 21519270]; [48751927; 49744741]; [5296248; 62428302]; [46460492; 64670533]; [9505450; 95646927]; [74748606; 39434583]; [23832537; 28008301]; [39439786; 34158751]; [78705837; 90679592]; [76073321; 47068058]; [87159615; 12507487]; [45104777; 44264796]; [96161881; 11383554]; [7716095; 43790655]; [73973512; 16668844]; [92318255; 92270204]; [12277879; 81510530]; [41269267; 60371172]; [21022217; 19608503]; [23289316; 11640408]; [43225532; 85175840]; [68077604; 90251041]; [21758470; 3538931]; [59196305; 71546451]; [26991479; 94199475]; [54606217; 49010854]; [14162925; 9056657]; [93545460; 52428017]; [97701173; 56773385]; [62310977; 36977574]; [85267002; 92800225]; [14066123; 32991594]; [15814194; 85897728]; [91851339; 67944831]; [68553990; 55074383]; [71861896; 82133197]; [28135583; 11822029]; [33662220; 96540596]; [90862358; 62376465]; [19170816; 30679099]; [60850430; 69164087]; [18769436; 69997037]; [12566012; 29341973]; [94765975; 39320041]; [24684752; 26950933]; [82412639; 89519069]; [15106933; 41407922]; [10943800; 89507027]; [47679688; 88515649]; [46346255; 80985069]; [68245161; 1956019]; [41377953; 70972883]; [83206212; 94552223]; [95105192; 46347021]; [62294305; 71566521]; [99471005; 80773277]; [37652926; 64894393]; [87778195; 50269802]; [55997708; 54924865]; [18967214; 41649724]; [26902904; 88056592]; [65245454; 93282171]; [10553727; 86085440]; [51745575; 95119900]; [58447586; 90727327]; [43660802; 13442100]; [50970785; 43641709]; [31834424; 60776827]; [60473281; 2592411]; [61997705; 74816580]; [12505336; 50187483]; [94943535; 39366306]; [9200115; 57714747]; [18094601; 7035016]; [53351230; 88052978]; [83406955; 86104094]; [45090952; 69120760]; [15151482; 25567190]; [21859926; 38394809]; [14009488; 47490669]; [76943323; 36639669]; [65865967; 69359929]; [97248120; 39834501]; [99626149; 74672022]; [93094557; 45136741]; [79619004; 50017084]; [51320446; 73891540]; [66710966; 24783397]; [45639868; 66623744]; [62322135; 17739552]; [94880966; 77372517]; [1323660; 54147767]; [7309551; 96745887]; [9406737; 86773113]; [97758240; 64097980]; [30346540; 49344167]; [10552143; 44941436]; [76094603; 71793283]; [73615086; 95480680]; [6040053; 57734144]; [92205089; 30251835]; [96449542; 42597215]; [43693257; 4378742]; [68811919; 16915566]; [84664605; 99538349]; [71947680; 83793313]; [31507531; 22696385]; [77489875; 38644088]; [10829778; 71519309]; [95589939; 12624207]; [33453565; 77389632]; [60433280; 10602164]; [4488935; 78734611]; [66533125; 32028581]; [54833084; 17113399]; [37170793; 5284047]; [38497191; 45467187]; [12645847; 90307838]; [44079921; 22512052]; [37680097; 9561102]; [9493043; 28248062]; [95707513; 80148622]; [2685687; 53436782]; [96336797; 37409659]; [29391091; 20367252]; [51837817; 26972141]; [33156177; 42974785]; [62467216; 50533987]; [18952421; 64583929]; [43249638; 66361862]; [35377522; 62188851]; [6476917; 62772789]; [255556; 33959095]; [98472180; 58458002]; [20175104; 22888297]; [13856484; 60271785]; [59539408; 13804987]; [19431645; 38733677]; [97285144; 97148875]; [20622976; 16512590]; [80169478; 15564341]; [25132796; 69553660]; [85140749; 68859777]; [95448110; 25574656]; [21709822; 92682468]; [12300858; 23795844]; [29178993; 1992350]; [78753093; 37228314]; [62832481; 63471349]; [21421784; 12083475]; [66200042; 77207696]; [3871602; 47590870]; [13513809; 11028783]; [26712151; 73437076]; [26996254; 16329143]; [86604004; 56559926]; [29520046; 65166239]; [35077473; 36942345]; [94498849; 22660395]; [30089420; 26515156]; [45533179; 45157921]; [23066953; 68498347]; [90583395; 71725484]; [51850742; 55180844]; [44309019; 56614776]; [7447455; 99750520]; [75668109; 67889867]; [32606253; 55650499]; [69967822; 22831000]; [10903808; 71405889]; [14364706; 35265687]; [18781687; 73630013]; [85468313; 2903951]; [66040566; 59828624]; [83339666; 84894434]; [87935957; 26616391]; [28106112; 16243720]; [89446814; 29825703]; [16738017; 46439819]; [60200086; 5714094]; [44222555; 64035506]; [49543632; 21958340]; [25891111; 83556153]; [3963639; 93232016]; [87311797; 62974614]; [73591122; 69881639]; [23552571; 95093417]; [33992386; 78962648]; [26931588; 69798264]; [61384206; 77655000]; [26386029; 50953005]; [93381257; 32125474]; [98347324; 74521469]; [59717210; 11209149]; [46823809; 18984029]; [35007589; 18947347]; [20677848; 18356395]; [40839890; 6989505]; [40775714; 32488059]; [34808239; 37649464]; [38148803; 20105114]; [1775263; 97082101]; [42489154; 11203980]; [32964266; 80707302]; [26257715; 46881411]; [3455075; 70135807]; [67622729; 58442899]; [75342848; 97258837]; [29641372; 94666632]; [59270394; 93980615]; [98056788; 27599694]; [55370273; 31354779]; [86440227; 5107057]; [7363275; 93652565]; [8050114; 56398633]; [86828878; 31136780]; [66581573; 56614617]; [10901386; 25910949]; [59025215; 26518471]; [43966276; 37610317]; [84813027; 61940730]; [5735758; 23911046]; [97661195; 74996301]; [96423998; 17416863]; [89590401; 69255751]; [25211616; 41212342]; [13482741; 41374330]; [86222473; 10407651]; [4621447; 40586492]; [54129675; 57236271]; [71489176; 61271640]; [23940836; 77961836]; [72570786; 21159553]; [14083218; 58040943]; [64237532; 41605079]; [70530165; 10012115]; [35126237; 25166903]; [53581002; 91955397]; [66428711; 67607913]; [45741665; 63573515]; [24090224; 97177772]; [32996601; 4239317]; [53845559; 21995687]; [99518495; 54866178]; [49576113; 71203626]; [33335575; 45754856]; [80635818; 54298928]; [18509207; 98962020]; [52891496; 48925137]; [74411631; 8779653]; [95377145; 22600294]; [76456860; 14189077]; [23443143; 57709871]; [33574790; 11550765]; [60585723; 14022325]; [62805667; 82824391]; [15707747; 97115794]; [92829001; 44606034]; [58963651; 97626950]; [88739104; 93348843]; [77719178; 96534639]; [48122957; 22431064]; [38087718; 62021291]; [49545316; 48688111]; [25647998; 47067392]; [49771948; 3549978]; [35338327; 73217693]; [82496214; 39201863]; [58607642; 79443093]; [89143136; 27709717]; [32626736; 29811088]; [85020793; 55974045]; [5500341; 68998102]; [52351338; 37726463]; [17831522; 87635678]; [83797594; 10540430]; [72629665; 86455250]; [73152091; 76859644]; [50511848; 26598334]; [94815117; 95620452]; [62262799; 16998209]; [31947291; 15520513]; [54904324; 65612703]; [65981118; 52805484]; [73413807; 67641240]; [95736504; 51405206]; [19013699; 68435249]; [65002654; 72583855]; [64187101; 46204520]; [55904449; 31519182]; [51217400; 44745950]; [90699678; 25672186]; [62046618; 42822818]; [51533267; 97027322]; [25281768; 95036697]; [61163400; 44310395]; [71357230; 64153921]; [13255292; 62904743]; [6053060; 67319817]; [27839408; 60243278]; [84518685; 63362088]; [56649013; 99011871]; [11201361; 16910011]; [43568413; 1870007]; [14500172; 81004632]; [81334935; 87022026]; [24776052; 48281537]; [56826634; 21807750]; [98193687; 25119498]; [20300090; 42661875]; [8521977; 55404840]; [96882088; 35100531]; [59333500; 17997325]; [33437385; 56565191]; [1703828; 36387759]; [94069750; 60360337]; [95317825; 42557913]; [63982433; 49768892]; [18413534; 24092761]; [89603307; 85469857]; [5174431; 31338321]; [69822626; 57464336]; [79583943; 44211192]; [82684422; 91131414]; [15427588; 44113939]; [41690305; 82646692]; [21617015; 88625662]; [53520947; 80404259]; [53265985; 62160823]; [79359623; 22432931]; [40492129; 92311322]; [6335539; 2622629]; [93722608; 3568224]; [93964663; 57953210]; [35019473; 94408560]; [38897604; 44407714]; [3994378; 88888652]; [93638088; 8529963]; [55606691; 87120662]; [56993836; 86767386]; [29480372; 81685331]; [50592543; 95453231]; [76479022; 10972734]; [60749047; 44171789]; [76107770; 52204479]; [11466488; 71980506]; [31011695; 86249468]; [63730054; 2477528]; [30762211; 49671030]; [43262131; 52442060]; [78489249; 14697024]; [2567173; 15666650]; [95604760; 27325250]; [69702294; 48360529]; [38202391; 88602885]; [55347704; 50092336]; [1508465; 98098748]; [16912478; 12598546]; [35073250; 13848654]; [19444016; 1525179]; [30940296; 21965076]; [98549060; 70497824]; [10468262; 67553112]; [28003032; 45620534]; [8240124; 27621667]; [58460298; 28408926]; [9625536; 43889212]; [41658063; 54925168]; [82146792; 94861783]; [86408280; 31724572]; [33849714; 12922848]; [83286401; 63803246]; [43985418; 1017314]; [21219311; 5862546]; [55075778; 30765998]; [90104174; 23971181]; [61510905; 76123102]; [44945149; 90544217]; [9236486; 39729886]; [97678431; 22963095]; [24896390; 62480528]; [48659882; 32506188]; [67140633; 88644753]; [52980484; 83678765]; [52086079; 297880]; [86478197; 44568124]; [31082212; 10137499]; [41529573; 90805540]; [8254653; 21162148]; [76268382; 10498937]; [15265978; 63979057]; [14318232; 15778980]; [27377555; 57295964]; [64909263; 75251025]; [98760328; 20313305]; [39669569; 42520802]; [67532218; 42483118]; [42573382; 11814362]; [36267597; 3939902]; [6916302; 75643306]; [77476591; 52120459]; [60615564; 76467712]; [21754219; 37468981]; [29778931; 41496368]; [69612599; 58090419]; [58052313; 94701496]; [48838678; 78524640]; [8748602; 98912548]; [86745773; 13878054]; [92182193; 9000850]; [30388311; 76630369]; [79622995; 15257367]; [35432680; 25352408]; [74776629; 46035499]; [80893142; 21377739]; [85426415; 89530391]; [39843815; 71170596]; [11570933; 29571231]; [81627584; 47673930]; [39099044; 64693228]; [26609170; 45492509]; [91178870; 57759994]; [91566363; 51784701]; [52775074; 77935325]; [34733848; 83916170]; [91481671; 75269245]; [39562352; 79747335]; [72756294; 94774906]; [57173090; 59161438]; [45141881; 86346295]; [78001755; 7725177]; [64217647; 42016784]; [74076051; 98895181]; [36371743; 71782094]; [99232271; 45497164]; [85856414; 97187689]; [68058302; 91059310]; [75480478; 55185195]; [13412429; 69490578]; [54819141; 23442148]; [41589994; 54822075]; [64352063; 92484254]; [36900272; 77856400]; [59567886; 66010588]; [99834546; 81448306]; [58338528; 31142369]; [17314132; 78457648]; [22671549; 87609807]; [67738586; 61128609]; [12222199; 37715767]; [76691808; 52015000]; [21792848; 62354254]; [93955693; 32140422]; [73869579; 41327502]; [79545995; 9857603]; [74953215; 19387655]; [69658657; 69802242]; [21711705; 34076963]; [37315210; 4086711]; [92317479; 72321618]; [69938226; 81365132]; [26652358; 24320327]; [21026967; 33093870]; [51228326; 86487281]; [37413954; 26468153]; [14432467; 1438071]; [20761157; 30699803]; [57657486; 61033505]; [73400417; 72858258]; [78046268; 5264083]; [3065218; 36208809]; [23921787; 66290319]; [49234962; 34720734]; [25142672; 82427797]; [42049417; 89514510]; [16425866; 48608817]; [81903425; 10088984]; [2315572; 56440986]; [91605064; 99729365]; [37271497; 2326719]; [41178602; 48761191]; [43796287; 7551060]; [93487855; 53917684]; [22191432; 82629312]; [56962389; 61022758]; [76898108; 31242078]; [85215474; 46682187]; [29152105; 72121729]; [782986; 46558974]; [32258893; 10650928]; [94664518; 65241214]; [31784014; 66843055]; [71453708; 80750298]; [78487581; 48604267]; [96579438; 76185328]; [59613747; 75709394]; [73434654; 14235022]; [57755819; 53117881]; [12501126; 38154129]; [45430814; 97158957]; [73700508; 38205431]; [13964285; 44342044]; [27713828; 71154471]; [54959572; 8184738]; [79540206; 81715549]; [89000801; 35568806]; [52235378; 51007500]; [30325055; 68393239]; [74469119; 21820678]; [81944050; 86319554]; [44130826; 220494]; [65976028; 46616792]; [81422020; 96332570]; [2738034; 8762445]; [18709056; 67529524]; [13939406; 1739992]; [85964374; 61566112]; [53759846; 58405619]; [59273435; 78147045]; [85155338; 56267690]; [60135272; 94941535]; [88948493; 16108373]; [31225581; 89272290]; [6194286; 94491618]; [55611903; 78863351]; [13610386; 63440741]; [97596004; 62854743]; [28657814; 36757284]; [14824651; 53485958]; [32682962; 74377920]; [10721376; 20333603]; [10861444; 43767817]; [64451852; 6849071]; [67932078; 65564818]; [76670362; 63562721]; [47007127; 96583306]; [63676605; 70775099]; [896554; 39004056]; [91533577; 65527046]; [16824007; 59906966]; [37736669; 42962934]; [11958032; 35449795]; [44895353; 66657190]; [4541681; 22322053]; [92621091; 35735061]; [34455539; 63689588]; [95933381; 232503]; [21151172; 99308192]; [32292379; 25513116]; [44206438; 40526039]; [70980178; 50605866]; [39973173; 31901179]; [45265061; 62835643]; [47533281; 35590474]; [23186320; 73390682]; [58638907; 28711287]; [73955703; 2121312]; [55959047; 40247895]; [69754571; 59762898]; [60396479; 78598255]; [57481589; 14928284]; [64167196; 7979924]; [71135356; 1560895]; [86416182; 99636069]; [92874439; 47565696]; [73371902; 26124426]; [13014601; 81301219]; [99852724; 72205641]; [1793655; 20528345]; [71694056; 3641952]; [47730378; 27742778]; [27102241; 94647311]; [95020267; 62047377]; [82754010; 48886162]; [39312965; 37855411]; [15838612; 52798286]; [46549574; 91471889]; [58763426; 20109581]; [21974177; 43511074]; [72728552; 14225849]; [91829135; 6358460]; [56104575; 32825716]; [20237597; 70009347]; [5982197; 76699133]; [85694249; 41068493]; [97001436; 5712004]; [16802425; 70149896]; [95579189; 17555510]; [98436094; 53733685]; [69427143; 83076310]; [59686842; 89243255]; [82973303; 12600088]; [60725352; 2767393]; [8242093; 22735695]; [58732840; 10141274]; [18650867; 33759709]; [21619099; 58307424]; [59193645; 81424171]; [78469819; 4624186]; [69290633; 79357079]; [42417714; 78064171]; [60136722; 93209113]; [56879140; 59071222]; [22629172; 22553355]; [99208000; 84638068]; [16186455; 47156964]; [90934427; 70787171]; [80242002; 9276198]; [42509238; 37486843]; [303661; 53473313]; [29229947; 24347186]; [66266135; 74850068]; [4628516; 4544940]; [67749793; 65919200]; [72262594; 16985015]; [49940152; 73388480]; [13775851; 26003725]; [61439814; 57591453]; [90009261; 45391761]; [66544879; 32912991]; [39300303; 42843951]; [43557092; 2859464]; [27422226; 35721860]; [52669485; 23156331]; [50008636; 44698234]; [57835827; 94334824]; [62798647; 13743335]; [74372295; 93769692]; [57672634; 85189174]; [72305972; 9902612]; [59885952; 48432134]; [53494042; 9344556]; [44494567; 59522976]; [95395871; 54322451]; [99134524; 46399974]; [67498072; 67301688]; [11372452; 86354545]; [75038705; 41403809]; [5779677; 56520989]; [78250660; 75251254]; [37268558; 1652259]; [69922358; 82152023]; [17454936; 35710001]; [92385428; 12666593]; [25609837; 87700228]; [37037667; 97030157]; [29349155; 80488475]; [86826177; 28709771]; [55740470; 82390230]; [77523360; 15406339]; [3057882; 40221102]; [9954846; 69119175]; [82250938; 10532506]; [82399057; 60309124]; [19264006; 12099888]; [60729985; 76606573]; [16024011; 98400147]; [85799789; 88704986]; [89623063; 93788824]; [22238510; 24110508]; [31600676; 1585429]; [38444523; 61282824]; [23213594; 31168306]; [93813813; 70600941]; [33325015; 30221000]; [98440421; 64033560]; [8956334; 37929513]; [22850871; 1870642]; [34634641; 77603901]; [79615907; 24794607]; [49432723; 76376035]; [73285330; 59903770]; [59361823; 12945443]; [77994867; 97127808]; [41746130; 17185252]; [54979884; 26640219]; [18228695; 53667801]; [64123897; 56458601]; [17832699; 31010766]; [13494784; 67407069]; [35542350; 77424212]; [50673908; 35747321]; [80451483; 69163347]; [32711807; 1937645]; [82825278; 36299164]; [53108247; 41745491]; [38074675; 43694078]; [68391746; 98792601]; [68409975; 62659979]; [26552147; 21489374]; [28713648; 70959343]; [47141828; 68332939]; [48459851; 83225731]; [94030825; 72964982]; [76665242; 30208661]; [18137106; 15243392]; [4007249; 88886481]; [17811174; 77587424]; [36010473; 23107141]; [61487873; 97380096]; [31571676; 1744849]; [43207048; 8311336]; [32385318; 26311567]; [23999571; 94284497]; [45342986; 19449803]; [55811301; 21057990]; [82341208; 79040283]; [18486499; 32344446]; [18016963; 42578885]; [21928123; 65996302]; [5218539; 38006584]; [77903458; 91658882]; [13498094; 68396664]; [92664731; 60019928]; [37712224; 21723326]; [50000736; 27079017]; [32872930; 57346134]; [46292907; 69709704]; [38758298; 99842988]; [23924133; 78820364]; [59665865; 19320967]; [48841350; 58763909]; [65880698; 237162]; [86843300; 48723148]; [98954712; 70756757]; [39665125; 57561703]; [25243920; 31974433]; [14836078; 79883736]; [82686384; 32800062]; [92597229; 1027021]; [9619096; 1812711]; [43662359; 77208192]; [37313867; 44679822]; [733158; 65325593]; [94651054; 60666304]; [80527633; 21610326]; [48173388; 81801118]; [10410465; 62807166]; [80889650; 73131643]; [46784073; 85996789]; [64167527; 54674390]; [25237939; 15669964]; [97558646; 50489972]; [45367265; 56899302]; [68555908; 24683834]; [73061589; 72128201]; [75405376; 11546723]; [51967163; 93834956]; [95301088; 15139530]; [84813261; 31860094]; [85430374; 60022985]; [29435415; 68797497]; [24954649; 40720506]; [10763664; 62641264]; [46962740; 48383170]; [43224085; 38671535]; [47350570; 57364230]; [12078456; 1829655]; [74892835; 35571606]; [25812977; 90971231]; [64186111; 99724268]; [83078777; 97906038]; [12643505; 55468636]; [3234277; 25350350]; [20426300; 67934780]; [63290706; 679281]; [64187680; 78188440]; [97338237; 48474679]; [4917443; 24807058]; [30050372; 51780739]; [77591636; 75363202]; [84052492; 9341955]; [24978812; 1100906]; [24873632; 55301736]; [31522876; 20400556]; [82323848; 21213662]; [79686390; 21391627]; [65902705; 18567478]; [98173994; 42872184]; [42250438; 33504353]; [25337137; 94044113]; [13907466; 60234231]; [44073378; 45793757]; [58581131; 94105201]; [8696662; 75105862]; [81824892; 32480931]; [42408855; 7773649]; [92041897; 74627709]; [86630042; 71965341]; [26152158; 26300760]; [45038754; 22404038]; [68435391; 34861728]; [32840427; 90560306]; [22154231; 35681181]; [93074741; 83842021]; [12571512; 187387]; [16117935; 26020623]; [65790091; 78654369]; [48200544; 80296739]; [88102332; 47808645]; [51567295; 9056874]; [66290822; 23180378]; [38141406; 67953605]; [22845706; 23861951]; [78745925; 17703560]; [91007982; 73572112]; [74774942; 88293311]; [45721649; 18181000]; [87147669; 6218143]; [2746077; 86047084]; [85400972; 87863306]; [82309270; 26943741]; [53557336; 75224395]; [85436906; 95142234]; [39599476; 49852796]; [51833486; 79679623]; [83076353; 22671633]; [80248989; 21062376]; [37645835; 18284003]; [1417797; 92522135]; [46130494; 2332041]; [66277921; 68053658]; [25806795; 64989673]; [15513706; 84993913]; [70212826; 63354233]; [83401838; 47184512]; [90754957; 73867635]; [16671633; 62042840]; [26313943; 59917480]; [87795200; 76554002]; [54765253; 15989493]; [39893390; 28634339]; [67858354; 1726442]; [38145679; 91491309]; [44019873; 3796738]; [34623062; 54597386]; [43945589; 58785198]; [71590622; 69276368]; [82720873; 73035557]; [32482250; 36795920]; [87776561; 66230510]; [46035086; 67057818]; [95695839; 17415972]; [97759124; 73012640]; [56772718; 15496299]; [36473254; 75455702]; [63821870; 55469074]; [75490335; 80151667]; [54272402; 97048871]; [12735654; 50395502]; [96703481; 68229388]; [94565577; 52832063]; [45141277; 80052309]; [99176959; 93576488]; [40832986; 5783605]; [53054595; 34964664]; [1366937; 80804220]; [58625970; 58754678]; [21254657; 22896286]; [45066491; 25029239]; [42457200; 81729107]; [22106610; 13251255]; [3215625; 21044376]; [90739282; 75249843]; [89210689; 85415216]; [31913880; 14666139]; [62484713; 73414344]; [19808050; 59304026]; [72768505; 90202970]; [11345796; 79342274]; [13585886; 50190843]; [80364654; 75659186]; [92482609; 36329140]; [67584026; 38843709]; [49026870; 81177836]; [12455317; 12217031]; [121859; 97660262]; [48730817; 57258464]; [36163021; 88164431]; [24022714; 89193104]; [78286387; 31050851]; [29799671; 63770565]; [18461336; 41650859]; [37976643; 82604843]; [57879988; 25066820]; [7254252; 70027642]; [98821305; 7392911]; [50438611; 14601233]; [28815499; 26717365]; [84171813; 217274]; [59536639; 1692297]; [35538147; 1736009]; [40377247; 97332352]; [38403882; 93755578]; [36307887; 64427945]; [50678314; 35396137]; [33891679; 99538720]; [28395028; 25981058]; [87194785; 26076941]; [38992545; 9893284]; [82514472; 1561302]; [70879461; 11961998]; [65840832; 5560661]; [66065224; 94389075]; [94928160; 26801976]; [60183170; 59345338]; [95697432; 98587674]; [28700572; 70792717]; [84007242; 68620616]; [29229850; 67625275]; [13009263; 32111714]; [7426042; 88971611]; [48254032; 36057419]; [75974131; 34764139]; [43376123; 66194445]; [88589557; 66731120]; [93936630; 23814015]; [61047544; 19790767]; [8830664; 39196398]; [89406467; 30201592]; [95343899; 94386715]; [28957466; 67847514]; [62651814; 73493643]; [70505889; 19225578]; [31642252; 96572822]; [97363114; 35336908]; [18797212; 8309532]; [75952322; 79905350]; [75342900; 31545640]; [67261836; 6121672]; [84870764; 50280396]; [26662545; 45970279]; [28044124; 28842781]; [93196562; 41287597]; [85238289; 51607244]; [10947463; 14417143]; [63340462; 72146021]; [51451383; 23203099]; [74381394; 65122724]; [44857972; 60951548]; [97872652; 54084481]; [67861255; 12047502]; [72217901; 7775678]; [64151920; 88564311]; [50615584; 39717131]; [38672291; 63779499]; [52313794; 98849541]; [81368800; 36494308]; [89757088; 25616908]; [61911115; 8142503]; [82371309; 6907718]; [90600654; 80997601]; [40960551; 39840825]; [23190807; 4532584]; [56947594; 15015858]; [2139628; 346028]; [26544441; 27902715]; [61373866; 66932793]; [27940973; 62196557]; [93634146; 95354419]; [1585150; 37659729]; [63525954; 35492818]; [52956790; 48366062]; [98182477; 24660253]; [76961864; 34966986]; [41527960; 91454911]; [57793729; 69203525]; [98686062; 56767905]; [96677633; 81306121]; [4994447; 46050402]; [72310279; 25437541]; [73996381; 10754147]; [10641805; 13028258]; [55688909; 64068229]; [88674927; 32269940]; [46649622; 26209603]; [92558988; 86996869]; [88959294; 27052706]; [25116815; 30444889]; [60177259; 37845912]; [57416169; 250217]; [95449662; 39923365]; [22877957; 74844196]; [31584206; 59530388]; [94771256; 27852131]; [38917100; 30761784]; [73227436; 65894156]; [92109938; 89945867]; [11650987; 6618006]; [19317547; 84500378]; [21332688; 47726205]; [2095777; 2407387]; [83050042; 73788898]; [89935948; 78271983]; [22227284; 7631780]; [82742666; 85871963]; [5268292; 81803324]; [55210719; 72237344]; [58924163; 40494310]; [48097527; 39583532]; [23850242; 50693778]; [52562361; 95838027]; [67974922; 63482610]; [1002744; 97024303]; [48755556; 36319543]; [74032905; 72298024]; [21695607; 25654367]; [12483255; 50482478]; [60811415; 14524248]; [71785807; 63840708]; [39046986; 68847102]; [49905558; 20459580]; [66529432; 42383383]; [55660568; 36528141]; [3784798; 82431664]; [81271235; 56965861]; [2042088; 29465654]; [57465621; 94933436]; [35916318; 18699006]; [54305883; 48136621]; [4509114; 38175608]; [22279215; 23899239]; [31787913; 92994352]; [42347697; 79583699]; [98308928; 98212065]; [10758601; 29072013]; [63998086; 63712718]; [73819746; 17192344]; [630854; 72660472]; [28444730; 95880594]; [12753125; 23577596]; [53501050; 11224337]; [25315280; 50448448]; [40202833; 79581888]; [8247867; 8915413]; [64941858; 46105548]; [62727998; 90379098]; [165700; 29688003]; [34339934; 97676009]; [51684652; 18079687]; [67455018; 58552051]; [15494943; 15106812]; [9905760; 82228114]; [36390359; 4679799]; [71259012; 90188177]; [73967773; 73542095]; [5081281; 87479076]; [22921605; 53869767]; [60972044; 86561958]; [63268468; 85172894]; [19766977; 30713083]; [31547813; 25227102]; [13880566; 75856562]; [17039664; 49862406]; [40178576; 52381540]; [23260935; 70416534]; [76352137; 46915956]; [20936592; 48960881]; [96506131; 90109977]; [9879321; 62229505]; [14427650; 65346034]; [38755892; 54508756]; [40483732; 50271851]; [44958123; 85644921]; [74270785; 28652085]; [60770294; 64628372]; [44706752; 89616215]; [35001578; 62134190]; [15808174; 5228849]; [65096651; 25499382]; [57848266; 55271745]; [76594692; 63417945]; [64174256; 10902578]; [74474235; 60194848]; [95333839; 27850891]; [71045455; 93192141]; [944426; 29240901]; [29780229; 9326552]; [66852989; 90840714]; [10385428; 42481778]; [59659580; 39734433]; [56160329; 93810600]; [48595949; 93005933]; [16203402; 27628176]; [92961970; 76855616]; [27208883; 8738524]; [13803501; 54158840]; [30876527; 59193236]; [42133668; 57210848]; [99053697; 60972416]; [74989279; 28508593]; [17962688; 79541657]; [13593971; 74687822]; [19259478; 24783726]; [43308972; 58700261]; [75661802; 51030109]; [53359115; 43419258]; [66963882; 6775119]; [37151015; 81348093]; [26825630; 79216153]; [15134100; 52761001]; [21959539; 49610632]; [40450361; 53412293]; [68679394; 46912225]; [32437436; 76844963]; [8673330; 75585278]; [48970074; 85197297]; [99571159; 87416464]; [66596338; 99742390]; [89580185; 90485268]; [40472164; 59595498]; [24067321; 27883003]; [7097323; 61885723]; [45750714; 80659489]; [53523760; 21973210]; [44314161; 83820485]; [20123518; 31972604]; [17368950; 10527523]; [17016750; 81119098]; [91263621; 89463206]; [7220803; 49678051]; [43729378; 41571905]; [14785858; 66685165]; [78837257; 61087244]; [68146462; 38581296]; [93815366; 97725544]; [89457233; 75161188]; [82995226; 67256215]; [58044763; 45709645]; [94999641; 67405139]; [62837530; 8595279]; [72873115; 56604420]; [47078667; 83619990]; [174153; 91550887]; [25908597; 39309783]; [63413492; 99141615]; [48659609; 32878851]; [15882661; 70650199]; [38333658; 51487064]; [72082840; 11364127]; [28668830; 93737323]; [33367022; 41472051]; [45104434; 25713125]; [62711995; 36290036]; [36141673; 92636466]; [66540017; 81947605]; [15260503; 12098296]; [37355540; 45760124]; [84394000; 53893862]; [35995396; 39457163]; [15641040; 9960949]; [3541240; 14093101]; [79955801; 17861683]; [52458835; 7010729]; [80624861; 33427135]; [30355113; 74089597]; [12687944; 45930280]; [64511960; 33899867]; [52539321; 45477112]; [61466375; 59280373]; [69375084; 67348193]; [75796422; 54686692]; [39854118; 267516]; [54081734; 45655236]; [46866749; 67159953]; [65984490; 60132338]; [70752999; 52070274]; [93461009; 18280025]; [87605494; 76009044]; [82773776; 29626025]; [94293301; 42417769]; [27480288; 96070869]; [56335938; 5408125]; [8810759; 23718635]; [26036679; 71779363]; [81934770; 87667282]; [95201976; 91604593]; [68868705; 47511325]; [54046197; 8831256]; [42121630; 46604005]; [35056722; 94953585]; [96469505; 37066979]; [81967162; 69353384]; [47195216; 7769333]; [32653808; 87012375]; [65035277; 12921928]; [60357711; 76355589]; [82301575; 80804996]; [10652827; 85430223]; [99249432; 19135230]; [37519878; 38560001]; [4861940; 91085305]; [94259766; 70565156]; [11122608; 80854788]; [45042027; 50259476]; [33369270; 7082068]; [38288344; 70474789]; [4540294; 64875730]; [85614885; 99804258]; [12935053; 55975570]; [71304916; 79976791]; [8104711; 92163763]; [73186803; 74584376]; [72543079; 49601204]; [65759637; 92675143]; [98232058; 11008689]; [51688504; 34578829]; [42748464; 98344514]; [73671913; 87685122]; [55141090; 52802212]; [5063614; 41931744]; [63199546; 12629857]; [27932969; 93084404]; [36782045; 44048456]; [92960555; 78476845]; [7828157; 52751105]; [80389390; 72651419]; [6255507; 99529083]; [44666397; 64726973]; [50229478; 63454125]; [69733830; 89642073]; [66755490; 97032104]; [80955680; 40157927]; [37361720; 93481958]; [73799034; 6805182]; [919593; 95314187]; [15052105; 42436097]; [94271540; 78119523]; [597825; 59134782]; [96189306; 7953211]; [59600206; 15108569]; [60731799; 12983459]; [28833322; 92370032]; [14010959; 97316068]; [44728092; 96094261]; [59733872; 21938044]; [47748004; 9893216]; [53244649; 20356069]; [77510606; 71150252]; [63886442; 4710142]; [99848989; 3813239]; [96972355; 88481187]; [70971928; 93200798]; [49821808; 82436130]; [59407024; 71586613]; [1632883; 3224985]; [34501020; 4520133]; [81864422; 99497664]; [95199950; 90526432]; [63542363; 32179353]; [39312333; 78488668]; [18130271; 70494531]; [38002316; 34154572]; [50680561; 78976734]; [17938136; 18861685]; [52333798; 12575952]; [33018282; 48309260]; [17673369; 53806096]; [36819495; 5775403]; [96105130; 48176699]; [47244676; 67551540]; [41516138; 39103388]; [42630906; 67151655]; [33311314; 59072795]; [20358032; 37327813]; [48216215; 76417828]; [28846684; 78033184]; [85057805; 77099287]; [13622490; 54157594]; [58888254; 11654399]; [53834757; 21057808]; [43464836; 32458234]; [91115213; 80927504]; [91991203; 34460171]; [33406507; 21508884]; [54459724; 41851561]; [13198942; 2707419]; [18085640; 96744072]; [70108331; 73166481]; [89528623; 31907484]; [87438811; 80832207]; [49186707; 3981882]; [43872267; 80066427]; [68593348; 5850041]; [11468855; 11169829]; [92447482; 70549568]; [36058113; 79903361]; [89762517; 34807802]; [67557454; 75188810]; [79128933; 78351656]; [54467016; 61308705]; [68173556; 79842780]; [64021720; 26391470]; [8095780; 57870284]; [78948637; 25753038]; [62040429; 27242667]; [69954535; 9551954]; [87690510; 18554313]; [80139031; 18303]; [78459691; 99585780]; [84214691; 99716372]; [78562214; 80648758]; [20619344; 62027955]; [70616769; 58639588]; [95192181; 97199249]; [32281231; 40458594]; [35978919; 63217221]; [81717367; 77559156]; [93219066; 24880071]; [94864577; 62844600]; [12606147; 22847419]; [79976629; 53799312]; [84907389; 80056767]; [90944165; 65839021]; [50901311; 82098540]; [86681751; 42536057]; [59235864; 28055135]; [28917252; 34588262]; [18421982; 67335573]; [33341538; 72094172]; [95978262; 48530427]; [19772111; 27560182]; [56046592; 90716815]; [61816295; 57174638]; [73746500; 497366]; [87502915; 35417491]; [18824248; 38357707]; [88139153; 66915933]; [5691919; 68432870]; [49165037; 96980145]; [59770936; 43971701]; [40993670; 45166132]; [14154278; 45727924]; [70680703; 1708001]; [57381917; 91794994]; [94482531; 42096639]; [47985566; 61747513]; [64565667; 71427896]; [65634804; 2523534]; [83705397; 91705364]; [73810452; 70739691]; [82935297; 57991433]; [26762883; 98397746]; [55218607; 92887113]; [27427952; 31379765]; [85643797; 51982457]; [57007034; 54416222]; [99369628; 62431606]; [66467547; 33772027]; [34694267; 42415160]; [11120064; 46446187]; [61615127; 78938070]; [3044073; 12194761]; [5189851; 68424740]; [62859982; 22473377]; [39238440; 5619634]; [74932543; 39440341]; [13645589; 96280853]; [9842878; 24811764]; [95512131; 37359028]; [42267240; 11516756]; [33766506; 76486469]; [19979031; 89269628]; [46315731; 51753056]; [90750637; 14204286]; [49676808; 83110323]; [57662541; 22168134]; [55817709; 22550888]; [38296581; 374904]; [61728323; 76773383]; [4449994; 79530511]; [58454431; 18704713]; [88280094; 96143752]; [48069213; 25693078]; [72870135; 31611730]; [32902296; 50412395]; [54904470; 50862261]; [73105833; 82540121]; [3583701; 58670907]; [79321765; 5152669]; [14896235; 27584376]; [82712506; 89785915]; [18441255; 51991370]; [88677660; 21677423]; [15947411; 17334901]; [90587071; 5948149]; [82089484; 34774228]; [32402402; 30534250]; [67111442; 1583010]; [13260651; 71492678]; [2302797; 35143148]; [47223885; 10641331]; [83511898; 10917775]; [86339857; 72647848]; [63186128; 59184442]; [91186237; 13900768]; [2207717; 13968961]; [55351529; 47153810]; [57812587; 60500483]; [96298078; 53069024]; [83492646; 53272326]; [22857959; 90294086]; [34957667; 52662009]; [92216465; 58446031]; [51166065; 42666854]; [81380666; 71694819]; [8520101; 86415470]; [40987510; 13561679]; [75876717; 58291965]; [88020998; 4116832]; [39960190; 16720184]; [79360584; 69488528]; [80288484; 90704004]; [28256396; 18948480]; [13893924; 19333195]; [30362600; 59052002]; [89401953; 59964290]; [11686019; 76746426]; [36412502; 66539268]; [75658526; 74866270]; [15162026; 76765672]; [77975740; 83400780]; [73335409; 77499959]; [17120199; 50700197]; [61349047; 30862188]; [34447714; 55649570]; [38172372; 84766940]; [15599238; 87912848]; [86279661; 80974753]; [74687694; 47234036]; [76732680; 47635862]; [64824400; 55012373]; [15453592; 54809937]; [88648960; 8546810]; [66032379; 98111900]; [42054229; 88440735]; [28946198; 69247997]; [70504401; 14748180]; [59086826; 94159492]; [57737853; 10457782]; [93750780; 7368217]; [4781998; 15149068]; [87725824; 39019750]; [95548518; 55085976]; [87683144; 72730043]; [76601104; 28184106]; [3188601; 30702744]; [26413002; 32148141]; [64496583; 37342153]; [53411167; 22016935]; [7298063; 29742498]; [52388472; 10023341]; [3563554; 41570195]; [23818872; 71494200]; [1219915; 11526073]; [20004545; 45843603]; [72817390; 7037364]; [40217661; 89887490]; [19827738; 41167768]; [80682996; 8461021]; [70642548; 66126200]; [67259190; 24993608]; [4419399; 94455642]; [35616367; 6956444]; [91518084; 66560734]; [20066145; 42906740]; [51571616; 1634429]; [40555983; 21339874]; [82160807; 39527386]; [57655034; 86616966]; [70875905; 17434505]; [27387855; 44537568]; [97427580; 25016058]; [25276979; 35138566]; [16866492; 63513171]; [92124205; 86562155]; [17665134; 5387683]; [53327524; 79007368]; [4758196; 85433358]; [63503526; 50905585]; [89282637; 23931770]; [20123252; 92475608]; [53029370; 68703520]; [25595218; 87588047]; [77664227; 50458573]; [75317012; 61419897]; [8299012; 13318959]; [9959912; 56604382]; [77203399; 73748838]; [63458276; 88426141]; [79895528; 96274422]; [18659827; 66247965]; [75097744; 13986827]; [9499785; 12355218]; [21119418; 22872343]; [41032646; 50356184]; [1254311; 55187532]; [23758400; 31559873]; [43846993; 58199285]; [44677317; 62777804]; [70913824; 29989052]; [29196229; 93594590]; [39181630; 94951239]; [28551225; 44057579]; [21491642; 10225967]; [13138026; 8846975]; [49027555; 98887488]; [71166508; 47962432]; [63101838; 53225380]; [31068148; 21138603]; [77630040; 29372388]; [90677772; 31215708]; [53661215; 9159542]; [68201250; 74684709]; [48040046; 2393384]; [59523342; 16221172]; [84325320; 18881118]; [40094854; 19783785]; [43650118; 65574357]; [27088447; 59391744]; [73751257; 17677338]; [38380002; 38647352]; [42218013; 14361651]; [215958; 27171863]; [26499323; 7301513]; [33409123; 59005964]; [67130692; 5472607]; [95513451; 5846652]; [80482807; 17932643]; [58294435; 40026159]; [38093586; 67243184]; [59275253; 31198068]; [51624805; 75235481]; [95228648; 70600890]; [5170683; 82887314]; [45625281; 2124862]; [29414268; 3783930]; [7928796; 70981468]; [34357806; 171116]; [97905407; 80342236]; [79153512; 13722334]; [64668607; 1572782]; [28536117; 92999017]; [95902220; 25492399]; [83328116; 23800425]; [21730390; 11483458]; [49155857; 17131099]; [13158200; 96722444]; [55130191; 11427818]; [11987097; 11713022]; [19579083; 79953529]; [36629545; 94325915]; [83107710; 86956232]; [56504388; 64391348]; [62024628; 63225700]; [70457832; 56840941]; [64945774; 67097907]; [87111858; 53844535]; [58460330; 48137722]; [16371721; 87635961]; [56983574; 50016219]; [49827819; 96842446]; [27642857; 28505150]; [21394139; 8926153]; [61479270; 22877081]; [64998266; 9951624]; [86687778; 46188753]; [41097225; 56926461]; [76264473; 79821893]; [77994863; 102137]; [34455716; 63177369]; [39815322; 94062650]; [59393166; 41654314]; [35677154; 97168715]; [88196465; 27054505]; [91470513; 3174940]; [65276534; 2587444]; [16359141; 50895504]; [63656463; 65966814]; [87675064; 83056571]; [98247515; 29381566]; [49164206; 89017059]; [43102623; 39040035]; [46170132; 65030937]; [82193269; 1268880]; [85649465; 81856043]; [32628974; 9783047]; [64045232; 55197845]; [51036884; 34891721]; [55738740; 98222484]; [76955782; 62339492]; [52383330; 19488823]; [41557044; 88014735]; [27624798; 40278697]; [2938193; 68609880]; [22800022; 44889242]; [56259598; 57099164]; [437696; 84437384]; [36253746; 52019247]; [36118188; 46264210]; [57766188; 43981721]; [79207205; 36497301]; [74383027; 71488679]; [38737686; 60153788]; [93354980; 85348167]; [32119665; 45796834]; [84962938; 30986307]; [84539058; 62520688]; [56169323; 61191608]; [44061331; 479758]; [14372254; 520137]; [7345100; 90747279]; [59537415; 21270483]; [45827719; 46513789]; [79815088; 88830631]; [33687473; 62914926]; [5487118; 96249825]; [42738010; 71496497]; [38944310; 34837408]; [14999772; 39883179]; [10071257; 80014005]; [57025737; 14622022]; [95534972; 62996697]; [4389038; 30763570]; [50781451; 18244509]; [23240087; 86890918]; [42311692; 65777750]; [29888947; 27550271]; [45226894; 58117841]; [33800835; 26838806]; [67967628; 88211263]; [50443935; 83074522]; [19041783; 11941942]; [8245693; 55129224]; [44584564; 72428540]; [62507692; 93936921]; [58396782; 96438358]; [60847832; 81429206]; [18882041; 61214897]; [38538843; 27842347]; [8250707; 11855283]; [13281739; 10794647]; [58426120; 63945281]; [90828623; 72026301]; [35824091; 87855079]; [99082861; 55255644]; [16709969; 41206320]; [75090311; 47038870]; [91071415; 20052287]; [72177138; 36552711]; [93058650; 43301743]; [54166781; 15705947]; [17690392; 73392237]; [75506202; 66992956]; [38905896; 10436195]; [18984715; 13278728]; [85504494; 82019024]; [58524093; 28297565]; [97080896; 99879325]; [41972563; 97894783]; [57367146; 24060107]; [69259182; 4289729]; [77323035; 19532441]; [51631384; 63806524]; [24313602; 61391045]; [47369640; 66540907]; [40365770; 61789009]; [63252155; 13918522]; [53578447; 38309567]; [36735133; 30601634]; [35518808; 74698338]; [22448368; 15262409]; [75932664; 14266829]; [92622340; 77151745]; [11071155; 62402835]; [99981133; 21780219]; [57719205; 16316646]; [21853387; 70879158]; [60539718; 77824918]; [72142870; 43091556]; [82790567; 90564399]; [76573095; 13864140]; [171361; 91370248]; [9921875; 92397604]; [9960662; 32524239]; [11557262; 84913106]; [94560796; 34096597]; [91880279; 74965778]; [16582904; 48746736]; [28156169; 98831736]; [74557518; 10781994]; [34297162; 49211976]; [65893463; 67827112]; [42827194; 66926819]; [87263214; 73143190]; [99604356; 73694940]; [76165477; 77157767]; [33034944; 96028660]; [52211423; 84722303]; [36054072; 23267157]; [95270066; 63521519]; [3315930; 45685138]; [33758290; 61663074]; [96803379; 46573615]; [77231410; 11319105]; [1315109; 25022638]; [58403779; 67709055]; [61304103; 30891918]; [8360816; 58151792]; [5450831; 83133665]; [79125573; 23541728]; [74977507; 14892043]; [92059078; 56477734]; [5241343; 83499509]; [40179544; 31425398]; [1774306; 72480156]; [1825791; 92229025]; [59637312; 61835026]; [80404490; 15046028]; [361683; 14058328]; [49707846; 19019445]; [55892574; 91627073]; [69108616; 30064020]; [94505422; 92893180]; [33403016; 34389662]; [21368708; 19673819]; [29111986; 52261509]; [11359013; 70275468]; [74179568; 61338074]; [72261056; 48044515]; [57097310; 86882616]; [39404071; 28917587]; [33817401; 62751448]; [39275433; 21803812]; [57629762; 28071453]; [49015466; 14756657]; [25041652; 63176580]; [86753827; 85200201]; [38976444; 97519698]; [58456357; 58290529]; [62990548; 50132594]; [56221699; 58293338]; [56533313; 97477380]; [30223338; 85609366]; [40846978; 33620178]; [83518376; 16855103]; [79610122; 36394963]; [42456857; 12372845]; [76435266; 82475145]; [3644280; 27621119]; [8942799; 43757531]; [84592635; 23824329]; [47180827; 62112361]; [3641759; 71970580]; [98396541; 5287567]; [31831269; 70934081]; [60696433; 55034448]; [8077252; 69318999]; [69573324; 86809479]; [95846794; 65511043]; [73653113; 43176968]; [34911413; 35289125]; [80846805; 76730911]; [57270049; 64007290]; [46729019; 62047703]; [40420667; 32834124]; [35795383; 24737583]; [47492433; 50216439]; [34103587; 17803847]; [75789826; 47828389]; [38680999; 49545936]; [77938368; 83569879]; [9419509; 12238740]; [68869086; 54867901]; [72098529; 71647958]; [15328936; 28737624]; [98580459; 52433914]; [3668423; 61316867]; [13990353; 25643528]; [90210129; 49743058]; [93541880; 79975304]; [79888848; 2872075]; [67686381; 45201091]; [84153278; 34732943]; [97094084; 34844922]; [71700010; 24944698]; [58455998; 90372484]; [36165734; 72990998]; [2404733; 3372518]; [94715281; 35197470]; [55620222; 72159147]; [63784433; 46193960]; [3318840; 40746050]; [34191816; 82256338]; [50040042; 41719735]; [23067879; 99675969]; [55576772; 872979]; [92645437; 28821081]; [51027194; 44688041]; [74589433; 23646354]; [1728548; 69181149]; [26636436; 25725040]; [35298572; 9581700]; [97932728; 21182972]; [72611243; 21466751]; [21092191; 21410235]; [34750562; 32524148]; [40536200; 18847700]; [1955104; 1156062]; [74129704; 11063522]; [66539974; 90058024]; [76360120; 74847705]; [19759625; 80222279]; [55780768; 7779870]; [20409791; 2098099]; [86372; 98772767]; [89765843; 48130920]; [80837780; 41622464]; [39935061; 27136190]; [98162563; 18638749]; [91678039; 97535449]; [93834704; 90011828]; [5728458; 72524886]; [34574468; 96170524]; [33916746; 59773067]; [21890335; 93870972]; [47208543; 94711243]; [95418329; 67691969]; [93932716; 48865337]; [33939068; 8152059]; [2835139; 71078771]; [40434118; 56817314]; [84654450; 50288540]; [49819345; 73259749]; [94555915; 11027884]; [96221191; 95171298]; [48928138; 98612265]; [83093510; 7319080]; [35200365; 93957253]; [55470810; 86406138]; [26662637; 65670133]; [23257628; 75297027]; [80405683; 81167906]; [91699992; 46742521]; [45209352; 15746809]; [17836469; 1845686]; [64000932; 89054236]; [75561713; 67826458]; [61938656; 80010751]; [23723004; 42866818]; [75902650; 90960480]; [40803597; 34535547]; [1136217; 49390478]; [72795430; 61291907]; [6149342; 63589330]; [81576476; 2726192]; [60369153; 60049265]; [33739713; 47449091]; [50413295; 61885968]; [6085682; 89929695]; [17099309; 23943972]; [43831149; 40794890]; [96625548; 93449327]; [32765691; 88591485]; [29401313; 66474236]; [63532748; 76785754]; [28784350; 44319284]; [16551401; 70446952]; [36679550; 39021028]; [37251478; 65260446]; [68250096; 84874180]; [14531469; 79549581]; [28242610; 71297201]; [41806002; 85608298]; [38709147; 66093302]; [44055136; 95680924]; [55909816; 45128536]; [87756895; 49452184]; [50731649; 31782064]; [3577533; 188401]; [66765643; 83610381]; [27784184; 4565782]; [95980106; 80626226]; [30537704; 18033565]; [46203326; 62759420]; [80961110; 38402454]; [60229032; 88276421]; [91231345; 89592268]; [73844133; 59239424]; [36014016; 28182204]; [6445395; 37411513]; [68068336; 62865177]; [639084; 87034893]; [35936303; 81820929]; [50528085; 30408571]; [54285920; 60858260]; [78524785; 1029926]; [56659898; 65420421]; [19108773; 83352100]; [4377689; 38392642]; [67144099; 19232454]; [69429146; 19198457]; [6739544; 57462255]; [71158888; 35522159]; [57542146; 78633969]; [92129383; 21282565]; [86914303; 53219050]; [19470962; 64205260]; [54197794; 867481]; [5408220; 39178714]; [97383346; 8186738]; [55367836; 67908730]; [14166984; 13230118]; [49428476; 91747265]; [45128735; 45389289]; [64106742; 18379129]; [9813225; 31859836]; [27742077; 44687590]; [58451929; 11850500]; [98760779; 55892059]; [27905276; 30693005]; [78892855; 79380693]; [21659187; 3631191]; [24414509; 482767]; [44996283; 30878452]; [45832941; 44220340]; [87189173; 63598274]; [1506014; 99452872]; [11493402; 3110175]; [41689330; 27460303]; [10207751; 7748047]; [13544221; 82379713]; [645657; 94808503]; [45482411; 51195875]; [83146667; 99170525]; [78807164; 1055210]; [44170728; 19467432]; [9664409; 77096238]; [57653723; 61568828]; [8744505; 81705775]; [83007364; 48424341]; [85392403; 75220726]; [86526162; 52833346]; [76465078; 38641341]; [43521219; 72549359]; [84719671; 37458069]; [41693984; 6395408]; [51785633; 63480269]; [1240313; 98219042]; [47844828; 38892292]; [27280621; 81242449]; [68567415; 20507393]; [19790018; 96755491]; [64424821; 5621932]; [20351420; 39508125]; [37372978; 78761255]; [91112408; 17851903]; [93343788; 62225224]; [70813221; 73048557]; [77012856; 60304082]; [70498118; 66895615]; [37452039; 65183400]; [4249910; 88361313]; [89924560; 56123080]; [90800516; 22717399]; [49860270; 54514305]; [92354367; 56922081]; [85725416; 21299726]; [83470170; 54985983]; [41273675; 77959082]; [81199956; 41883347]; [26423813; 67585673]; [48002975; 35942997]; [77707214; 5238339]; [53431157; 54932043]; [4048702; 94789670]; [58897002; 80464443]; [21837331; 42930492]; [67622588; 77976545]; [22206314; 50442537]; [29768752; 89471469]; [64842462; 72690887]; [79341283; 96599273]; [93815451; 4269056]; [29197396; 41362043]; [5924023; 90852548]; [58672124; 46513774]; [32206844; 25027083]; [99858598; 53352732]; [39734995; 78552511]; [3592149; 69512712]; [64094082; 77294220]; [10222067; 3563390]; [2784657; 2690137]; [48574716; 90487835]; [61403314; 59693641]; [71896628; 90624207]; [68918106; 61922970]; [85036831; 17359577]; [44712481; 67970603]; [11485594; 74117163]; [40654351; 60313985]; [60864581; 75838661]; [18838918; 78445971]; [50915995; 51458359]; [19313479; 958200]; [42168451; 73978157]; [42758926; 82047648]; [77483755; 38727963]; [38526138; 72246667]; [15685971; 50902903]; [81979675; 59066684]; [33090979; 20785497]; [96223960; 1285632]; [14207939; 17156008]; [60867916; 54317132]; [43445465; 28848636]; [19157014; 61089157]; [25493195; 74964497]; [91822423; 20672156]; [40352989; 76779807]; [43435700; 83451599]; [87346652; 47468054]; [282860; 95345913]; [2293317; 23085491]; [5208386; 47100498]; [81241673; 34391800]; [24439633; 80921437]; [86624535; 88021954]; [58658362; 38441189]; [74554249; 78730841]; [18074967; 51438156]; [78160911; 83687740]; [96360345; 27037884]; [11125634; 18257257]; [37474158; 89057098]; [66309908; 51200301]; [4123781; 7016896]; [47960799; 18424802]; [16131128; 58363473]; [88104326; 82494562]; [50104585; 21476146]; [86598989; 33979243]; [16201270; 46573427]; [41498534; 49772578]; [26163410; 36813001]; [83355517; 71239814]; [45728681; 90273133]; [87882945; 57490775]; [66975061; 45384535]; [82931287; 21648243]; [18618604; 56526400]; [78657177; 67531746]; [44120125; 36174243]; [60339540; 36846357]; [24495382; 55374826]; [58276802; 94991600]; [19800664; 50141980]; [46685976; 7807494]; [83719110; 83920394]; [63452754; 85749051]; [19116759; 59907978]; [71494576; 58415994]; [38546502; 34063567]; [49911095; 73209492]; [34227700; 18195892]; [54332826; 49912150]; [51697244; 39341048]; [93384070; 24465651]; [63865700; 29474219]; [56336251; 67510590]; [82884451; 41015425]; [85644263; 78235255]; [23138846; 95973463]; [16492851; 97427753]; [60055418; 87698136]; [61361731; 8829662]; [92452114; 37284718]; [42441587; 49102657]; [86369453; 32126402]; [24354054; 89687714]; [43065113; 31646250]; [965907; 4863635]; [13630721; 82311148]; [30318421; 56752348]; [88976126; 56788505]; [65574829; 32974549]; [27362999; 95506679]; [44147824; 27849972]; [58108817; 7146930]; [36303790; 24978866]; [79001414; 96036090]; [64594496; 59530762]; [30009807; 62772105]; [33405480; 70507831]; [20836848; 88499089]; [69321215; 3045406]; [6889822; 62742588]; [66570197; 21426658]; [47885864; 60506455]; [12033437; 67715805]; [30170257; 17308321]; [13167233; 13091705]; [45960781; 17051143]; [84509345; 19718480]; [17683229; 33715084]; [48732070; 54861333]; [84563389; 60453711]; [46898071; 75823676]; [56423888; 23926256]; [55823638; 55958656]; [24100885; 73098821]; [38073781; 27526518]; [97048239; 55820279]; [25563307; 43188311]; [21625813; 14161108]; [23167648; 87817084]; [31913002; 96911047]; [37589459; 87125501]; [85613209; 81983725]; [20392893; 33608600]; [78742099; 94001195]; [59287674; 27060298]; [2268648; 70389397]; [98796296; 890968]; [8826164; 56633275]; [29680452; 39062213]; [18281056; 6287335]; [74495872; 81640721]; [85942485; 48733954]; [14259679; 75677308]; [66080792; 28102755]; [90419156; 24706170]; [42254439; 89587437]; [29184266; 59675667]; [77678955; 53224631]; [16502947; 72146271]; [23509469; 40067127]; [57951341; 76826015]; [82934893; 64012283]; [79359340; 38854535]; [43751351; 87343175]; [36264078; 37142569]; [80289818; 71547840]; [47037878; 3935409]; [84858646; 66796629]; [27203159; 74164830]; [86834512; 23734943]; [93451223; 6528524]; [51159443; 6664814]; [12701722; 66288925]; [77306151; 67680129]; [36772244; 72210959]; [95396680; 64319092]; [34175446; 97434216]; [75250461; 2713821]; [34431940; 8442808]; [37861231; 75448316]; [66628262; 95154188]; [5955041; 96952521]; [70742803; 87682298]; [62778174; 40437711]; [41354398; 30590797]; [76502828; 86387881]; [38306866; 50024781]; [79349830; 71944818]; [53053564; 96334563]; [26100256; 61252324]; [47331493; 26422153]; [86068938; 6917177]; [14993145; 1808426]; [25721287; 67765678]; [86773898; 79063634]; [11684880; 93275953]; [32247224; 86223276]; [58174578; 4199301]; [82248587; 1022647]; [77072907; 4263324]; [3109672; 90098534]; [76268375; 36685674]; [17735163; 50380865]; [45073048; 21174919]; [27144709; 4996439]; [62918025; 58061195]; [71546466; 11117592]; [57772318; 45730451]; [73989172; 29298259]; [50511828; 4544869]; [70910469; 69180304]; [44787707; 52563810]; [58618140; 17209383]; [83828539; 54964489]; [41164842; 24449901]; [92658926; 27668452]; [28600274; 66477773]; [70057408; 256797]; [53572787; 95757786]; [99739784; 65070495]; [88468270; 16005198]; [86986796; 88021722]; [624993; 27115528]; [54800848; 93030287]; [40463748; 77758396]; [32496122; 22069407]; [79777923; 85630335]; [9547550; 54203319]; [29417577; 23387730]; [93025604; 37268223]; [26334538; 97193692]; [75424416; 31103867]; [79035725; 76068076]; [64842730; 26469634]; [21990220; 43543343]; [22401838; 34841074]; [11116658; 92405216]; [44257450; 13203144]; [11531458; 25597542]; [53780599; 74966437]; [56436260; 95144942]; [70475876; 14490692]; [76437034; 20466809]; [42791510; 11154917]; [94191298; 48189928]; [2708240; 66630971]; [69790481; 5728552]; [60763051; 41244875]; [62798260; 38880983]; [23372514; 98417895]; [56747635; 40475037]; [39988482; 56276846]; [22435243; 56518806]; [65091501; 82684543]; [43947087; 95228682]; [1027356; 32918468]; [50806663; 4358131]; [58873061; 56486388]; [18507232; 81981918]; [66557688; 25506480]; [89109211; 12971116]; [94529319; 99730036]; [93862934; 71001040]; [41863156; 94938588]; [21023784; 89463630]; [51324344; 44516184]; [73223492; 38555281]; [26557899; 71856457]; [17655231; 32305309]; [33509622; 71214377]; [21657488; 47375118]; [10671113; 42791435]; [65180964; 57637787]; [45594409; 73311687]; [88107820; 20301398]; [29946949; 56762049]; [30859199; 61020421]; [98747324; 96322193]; [72434876; 76435294]; [73143418; 76881457]; [29284862; 1764106]; [24859974; 7646458]; [62925700; 14590259]; [31086922; 97032626]; [3427579; 81507888]; [20687093; 18579938]; [83563035; 26341928]; [80321843; 26235271]; [6523224; 44336919]; [85200327; 54700832]; [82083519; 33387150]; [51430836; 53734542]; [66216900; 37125810]; [55451112; 81531423]; [84019357; 66716452]; [87107759; 55064070]; [62461616; 51536822]; [64476531; 67794875]; [78980950; 60351941]; [94446121; 99193222]; [61326899; 62292787]; [33559778; 22185272]; [6541400; 97586336]; [7318859; 96849110]; [13399898; 35505615]; [29384275; 47790579]; [20438126; 38262853]; [85798005; 65416063]; [71243607; 9119266]; [20012858; 36192574]; [46950338; 3967904]; [9716375; 75675565]; [11277547; 62111141]; [83071103; 24101361]; [2002749; 46902135]; [4835621; 1137806]; [20129177; 54230670]; [18087340; 63930340]; [30677699; 8726755]; [19790032; 40986828]; [8000204; 17325040]; [52477166; 1482008]; [28479896; 3757475]; [76529178; 96486543]; [41820022; 56528305]; [27525133; 29268832]; [76914221; 34809107]; [76899480; 23328434]; [41671403; 1849885]; [8641046; 98453810]; [67140373; 45800575]; [3706586; 76622985]; [38025900; 17817560]; [12820402; 83259810]; [64614497; 24279520]; [54802187; 48645124]; [34658546; 59117161]; [50622505; 42750823]; [12863452; 97184621]; [36412183; 17502594]; [39098649; 90271915]; [15226156; 28233559]; [58987681; 64780778]; [12697289; 12593870]; [21578262; 9992762]; [51974006; 23986684]; [37946368; 52752028]; [72278658; 50416251]; [32574610; 13843806]; [75061248; 28359078]; [39982338; 34721859]; [51887461; 89297772]; [25243109; 448482]; [85569466; 42320727]; [54234129; 19189346]; [24467942; 82538266]; [50635065; 62592130]; [74906390; 58966144]; [52124016; 53713487]; [79472967; 7463254]; [62159907; 56713642]; [45630172; 83983839]; [26230673; 50812277]; [23064008; 21753838]; [36977989; 8580516]; [49318526; 28746003]; [69401007; 18716909]; [23064817; 29125681]; [6187600; 20088764]; [82705114; 19971407]; [38050381; 58478816]; [56200995; 14115814]; [60179201; 80779287]; [22465880; 87557335]; [35055403; 56103927]; [49668365; 43760699]; [66108660; 27936449]; [98491127; 28933634]; [61853411; 17202584]; [54706806; 56487808]; [31092730; 59220765]; [88239842; 4181797]; [58565946; 268796]; [92518187; 36418613]; [32194308; 89327142]; [94884093; 52187296]; [44712816; 83726582]; [94566991; 38813403]; [63827092; 89943851]; [6128319; 50477574]; [51169780; 28642099]; [30441522; 97285038]; [60907420; 43715956]; [19888397; 26744212]; [30070300; 61170928]; [10328704; 87147247]; [40030819; 87263182]; [43693077; 85678210]; [76748480; 30535736]; [94582114; 49613701]; [52375336; 79301672]; [55145473; 98653088]; [75368361; 65368854]; [70953351; 91854759]; [64386112; 53324598]; [11897680; 93943029]; [1824197; 71362302]; [33460166; 59935845]; [31858076; 31747575]; [43423988; 17661701]; [91597948; 5742883]; [44695006; 16923048]; [92404141; 29329513]; [96771320; 9703694]; [21597534; 22444931]; [56842915; 21066236]; [1001266; 27434839]; [14511485; 58304391]; [8270880; 12123587]; [95368232; 24337821]; [26296761; 1592808]; [9371027; 9463406]; [24135632; 67886829]; [4609694; 26332669]; [75759110; 25042780]; [58949409; 45712703]; [45341690; 60382726]; [52941064; 79991780]; [8184333; 12065777]; [68941814; 22267782]; [36429326; 94306875]; [4798125; 90024567]; [82949277; 48347663]; [99098342; 41757005]; [51575793; 21419715]; [63241498; 250970]; [54824263; 94298109]; [48709491; 51771104]; [35106360; 33384157]; [48116880; 23757189]; [19523474; 29864951]; [63652586; 72331152]; [4481818; 44648620]; [52761915; 16111891]; [64652420; 97912412]; [89332082; 6924434]; [29130312; 7419293]; [34467454; 42274313]; [15579547; 95743895]; [71129447; 29651414]; [99563801; 79600585]; [11081635; 91899858]; [98871821; 81590825]; [19267031; 42871155]; [97777642; 25988206]; [85668512; 31826248]; [74048860; 82334664]; [29469808; 96446135]; [95792500; 97106720]; [24527734; 34030657]; [66382263; 58774128]; [83449010; 15230788]; [21659298; 17277793]; [71144296; 34906107]; [45616169; 61339841]; [41818822; 43139381]; [10208982; 68764988]; [48652861; 15057954]; [95175511; 71128526]; [80309115; 67146890]; [39324789; 8080297]; [75924561; 56973776]; [3507580; 13942602]; [3710604; 22053110]; [49836231; 10673682]; [40652851; 81928588]; [84611671; 32922169]; [34078743; 99081227]; [7757127; 13407660]; [89124113; 72256477]; [5420940; 60700356]; [12050250; 97527711]; [46164757; 25992268]; [38313806; 76412336]; [69549798; 23748018]; [70071756; 52147016]; [62641247; 15701407]; [46619958; 20299803]; [40138785; 5311357]; [96698577; 55506853]; [76447247; 15604607]; [55451914; 18090093]; [46830298; 12989004]; [20409437; 72727635]; [86570180; 68658099]; [56234026; 33053293]; [48623291; 79254553]; [5539494; 93987591]; [73496482; 66335706]; [57356655; 57233576]; [92419379; 99911119]; [14870495; 74236970]; [96608035; 53514964]; [16541326; 63924851]; [30760002; 2063901]; [98178925; 42754895]; [70839121; 51327022]; [32431727; 34232693]; [1915044; 6163764]; [54292468; 57005823]; [3689310; 17037653]; [69988645; 80370000]; [96512316; 58907088]; [49694438; 83783998]; [37241999; 21943328]; [59053977; 56430117]; [29901681; 43736337]; [85846093; 90963103]; [93559524; 75124862]; [40190824; 93188901]; [74795548; 51087065]; [64321168; 90890105]; [48018351; 10880676]; [1122931; 49730234]; [65595608; 77718660]; [24727662; 84417474]; [42639565; 79973580]; [74432153; 35472895]; [59691088; 2866239]; [86713601; 81859753]; [69950236; 89896895]; [13502981; 51268018]; [53755230; 46369347]; [59039580; 75596111]; [38808573; 16416004]; [45911028; 1763807]; [26841729; 33604889]; [26193203; 47887554]; [34894293; 47508856]; [58373358; 96363772]; [34216266; 21958137]; [79686452; 84200225]; [65030558; 80103265]; [20488140; 15403511]; [94255854; 93673615]; [71931344; 79060666]; [39892374; 70894204]; [22172589; 99802210]; [93704000; 55680822]; [40645257; 45552006]; [85122673; 31674704]; [56590147; 55835058]; [60371966; 68618264]; [11683448; 6054189]; [56136958; 59260969]; [75723947; 21641922]; [85891208; 30173650]; [37328114; 62108564]; [77524381; 12254160]; [70746606; 70719021]; [50260583; 63453181]; [81984044; 18932201]; [44398338; 29694419]; [53922929; 44085836]; [69216395; 41790714]; [76009123; 22565896]; [70314780; 33419822]; [77520936; 16884971]; [19539401; 79957445]; [28702671; 78584255]; [62988468; 49695298]; [45386279; 37266680]; [51415152; 17755936]; [98343477; 98640997]; [38672182; 34849118]; [51954059; 38485592]; [20962242; 23399486]; [68489080; 9706999]; [69622706; 91458951]; [54697253; 47082980]; [46069349; 5550333]; [6448369; 17621619]; [13951519; 23750304]; [71516999; 86267098]; [43277072; 19031411]; [73333821; 85706045]; [22032078; 28041077]; [45782446; 4467735]; [41970455; 89401538]; [46496631; 16860315]; [36427189; 91595698]; [55503089; 72852631]; [58310379; 43138493]; [67403253; 18353641]; [10191538; 93197803]; [20540640; 20420926]; [28435731; 12607794]; [23825977; 62182622]; [59920968; 77369476]; [47299197; 91204067]; [87748748; 92289350]; [64774959; 72255287]; [60781653; 91066780]; [10057970; 14626309]; [69367794; 16158941]; [64631722; 44127279]; [94926737; 43313233]; [73958791; 11100280]; [2850159; 13470379]; [40593914; 7519553]; [6686643; 5242210]; [89958489; 62450470]; [96679403; 89016182]; [76581242; 82775916]; [69099212; 49214543]; [75230012; 84588193]; [71422711; 2429191]; [35746485; 89091673]; [96518324; 34941743]; [93134767; 51689423]; [36485741; 7925955]; [34149720; 96470170]; [60773168; 89853711]; [34453830; 23493491]; [8606268; 75009323]; [92108433; 73074784]; [57369066; 20609267]; [78379549; 66577418]; [47556641; 80290925]; [33022269; 60966995]; [41533752; 81308944]; [47363327; 49305752]; [83877153; 88120129]; [928974; 13130271]; [36140605; 49502229]; [72816305; 79881139]; [78382604; 16385060]; [92133201; 49990691]; [27227800; 59085749]; [78729878; 99245324]; [70871322; 54999202]; [79956898; 53909049]; [76971930; 57911365]; [45517571; 84567857]; [76921070; 74162553]; [32321654; 22683456]; [72834954; 75364460]; [19095767; 33655789]; [39775695; 6917689]; [86873271; 42360616]; [2574703; 22903161]; [88422766; 50766903]; [69278208; 52039547]; [78292891; 88561195]; [1024026; 85180573]; [40482681; 10539905]; [47638522; 24331912]; [62953742; 41038556]; [64633950; 74395552]; [88888520; 42625054]; [40331976; 64403459]; [63012474; 64978748]; [38244887; 84877943]; [33285684; 94222857]; [44976048; 94244280]; [56097486; 55360127]; [50511044; 39746967]; [99550055; 1201882]; [81337049; 80614587]; [64631260; 33535214]; [46660727; 28910741]; [80419319; 63132887]; [36640255; 68615837]; [58936830; 42598501]; [66077568; 30165179]; [40421777; 68650570]; [96356817; 31501648]; [25905336; 2678201]; [40158457; 30159386]; [77762403; 28382637]; [48592812; 67531673]; [14015970; 89431953]; [1530978; 82545661]; [55489777; 4083672]; [82789900; 72717309]; [58729265; 327788]; [54086642; 68128277]; [35300472; 68592113]; [89977168; 41962320]; [48803372; 4196405]; [36265306; 54661459]; [40409217; 45036293]; [17569608; 16865251]; [9286534; 89910687]; [41950552; 66140389]; [36502649; 25040229]; [52575242; 87818672]; [90040206; 71043935]; [1335442; 35646176]; [65927378; 88458568]; [50299199; 65869047]; [74297393; 11410825]; [40171026; 6528920]; [13616722; 86281515]; [11557631; 44045872]; [49554065; 36558698]; [91557352; 53113467]; [4027918; 5801147]; [34361237; 18530049]; [8026875; 45932238]; [18794041; 70116047]; [6072397; 33319524]; [68892596; 2331110]; [26197118; 9607640]; [19115685; 32966852]; [44008731; 95657083]; [60260330; 31794531]; [97920669; 10526293]; [27435826; 97006510]; [3457716; 15569997]; [62893521; 41800847]; [45302271; 91471951]; [20872325; 43746892]; [46254317; 49846324]; [2190334; 67512205]; [49290794; 78392522]; [38232153; 37975560]; [13307243; 86192630]; [97373613; 90333966]; [24146793; 30783730]; [44202657; 97964466]; [2864740; 40960961]; [93082948; 39196090]; [30156475; 88840964]; [24975346; 86924925]; [52960887; 15124756]; [82635512; 82704776]; [1771939; 63159346]; [37207466; 34015282]; [39767831; 89076072]; [43829062; 83098309]; [41014494; 8088334]; [47592435; 38153322]; [47039684; 86226303]; [93376179; 96265109]; [60225078; 82112945]; [48442391; 82204679]; [43604773; 50767860]; [55730962; 5091168]; [88031612; 37707557]; [8033420; 79326545]; [5128569; 31041674]; [57857594; 34659845]; [95900538; 57920962]; [3024237; 760149]; [12347600; 74726278]; [74474118; 17527685]; [95136371; 45610829]; [97453868; 3992971]; [78394795; 47134456]; [7323836; 55602426]; [21705324; 99741776]; [58610358; 3695367]; [65602806; 48822159]; [34290330; 97046428]; [59665285; 30105888]; [62601795; 29731057]; [1465966; 59174043]; [84398010; 54499555]; [92231123; 14528302]; [91815117; 49823483]; [67470253; 52053149]; [7023620; 23804776]; [9382520; 68530885]; [4437518; 61709901]; [64066889; 49369652]; [37564235; 56513931]; [60573384; 79692348]; [40803607; 27728355]; [4336826; 46461796]; [62390675; 35459467]; [13186691; 66968217]; [20797715; 5897108]; [98818521; 86500293]; [91818772; 52047186]; [23607701; 32986396]; [73660360; 61017962]; [16559454; 56972634]; [92686496; 18302603]; [35363090; 44645627]; [3720205; 57587578]; [89559721; 3296919]; [85283567; 19215700]; [30900612; 85188263]; [68415974; 94956082]; [27205065; 2411798]; [68648847; 80316705]; [32743674; 66463190]; [13372201; 77249377]; [41871042; 26538377]; [3401810; 77779238]; [63817611; 89199553]; [68294816; 43586260]; [73010019; 86584577]; [69212993; 27743734]; [95507735; 55903044]; [15884258; 320615]; [25496945; 7064846]; [10594412; 56613867]; [59947951; 73814510]; [24567143; 22815990]; [52721371; 79707066]; [71709248; 3590785]; [23467198; 85424658]; [53397676; 96989458]; [21314552; 96301624]; [49216430; 20914376]; [96505508; 12883309]; [1309987; 95630883]; [18042196; 87725676]; [41298753; 46151254]; [63517643; 72263598]; [14607928; 56669723]; [88701408; 95008774]; [70157568; 91299797]; [11441357; 33289266]; [56945471; 49057318]; [52528084; 91216695]; [80641319; 91250674]; [15819742; 35838477]; [16817750; 86952463]; [29786435; 65586385]; [91529089; 64649329]; [88305626; 91499441]; [57244407; 84140239]; [97660817; 9345734]; [28613904; 24536987]; [67522077; 2843049]; [16518712; 29243858]; [57688112; 15465788]; [83286591; 66502255]; [78953261; 73539077]; [19762729; 9852078]; [23196635; 68788752]; [75458415; 16430607]; [92322077; 37552054]; [74099931; 29549533]; [28259272; 94997606]; [22320096; 41731015]; [93513815; 11032212]; [66092003; 56385982]; [98563094; 29137497]; [25229322; 51896632]; [75723570; 96950770]; [67118815; 82676082]; [78568754; 45479372]; [16366832; 31743348]; [80723935; 56174545]; [61103004; 62777699]; [79562816; 3381084]; [91221450; 74105734]; [81649768; 23236039]; [63009277; 10528103]; [39205257; 33190320]; [26435170; 14309327]; [64709677; 92994580]; [19847798; 18779596]; [23821277; 15773561]; [37427790; 84957863]; [59801189; 22427583]; [89794819; 17847320]; [27469931; 10743023]; [91653334; 86152300]; [39525229; 34944972]; [23686823; 19208417]; [41960575; 38102859]; [41441789; 25842360]; [32530395; 78899889]; [96969196; 81218435]; [12792576; 94040557]; [28779155; 58234744]; [54884609; 94089081]; [38079692; 73945214]; [65805021; 19706981]; [69588851; 97612216]; [90375706; 12189656]; [78866884; 86060978]; [12844510; 65752917]; [25500242; 67305178]; [84136371; 93321305]; [19057602; 10130800]; [12020402; 59656868]; [90483748; 15874809]; [90811522; 88928556]; [36308451; 7852742]; [86300642; 97386777]; [10198462; 41980109]; [70297708; 23907739]; [27531093; 23868700]; [69401848; 69282373]; [75145924; 82894769]; [73797842; 40193493]; [78362015; 20926394]; [55082361; 45083502]; [64775179; 9802525]; [41885974; 82285908]; [51496416; 80138096]; [62286361; 25917192]; [37671474; 23207526]; [20695846; 15385284]; [61789362; 84885832]; [47899092; 958940]; [60745453; 51793195]; [18478110; 48299670]; [90171540; 19355619]; [80217901; 71346864]; [41320477; 642374]; [37403469; 21058086]; [11009180; 32307204]; [74351256; 46091777]; [9578932; 13982747]; [69860698; 21402749]; [53033098; 24257472]; [61235309; 60112646]; [97680545; 9615751]; [65263401; 72246013]; [93165305; 71720033]; [55618947; 17695232]; [53179208; 27988489]; [19415147; 30855165]; [31528779; 61391826]; [98663765; 56750387]; [55354689; 37727716]; [68678469; 99330711]; [56446753; 10531113]; [72268327; 41085286]; [68789943; 59605272]; [50727876; 75370684]; [49249586; 67344154]; [9655405; 34541950]; [97894283; 24112549]; [86006335; 26642358]; [29494827; 32073338]; [6566117; 65814923]; [51687877; 97881837]; [15464083; 58475716]; [27205990; 39647322]; [60672026; 23164182]; [10928808; 46392685]; [68058369; 85945071]; [18009059; 12943886]; [55208246; 78370737]; [91850641; 58549939]; [66201286; 78179661]; [90312421; 31085044]; [48693824; 49168292]; [30653741; 17109024]; [46690600; 92760339]; [61317955; 44031148]; [67146350; 25938967]; [98753582; 35729837]; [22276732; 71388875]; [45273949; 67731943]; [59145379; 5329821]; [66478073; 83587778]; [44487098; 33699593]; [13338074; 70204199]; [45664064; 31255721]; [97135434; 15783094]; [95649468; 40372816]; [88673402; 67647185]; [16565113; 68089510]; [13279154; 13207304]; [86761095; 67773018]; [8426053; 30073966]; [61834381; 17786544]; [39520265; 6355172]; [66319842; 38739200]; [20678499; 56111835]; [68148691; 50376212]; [16566500; 52582104]; [31044107; 95320855]; [41920299; 63618399]; [91783465; 77206225]; [44859128; 23796948]; [74135516; 72982148]; [87433075; 33714179]; [6574960; 45297465]; [41124877; 95427494]; [85890018; 32208340]; [3355733; 82639485]; [52381541; 86453306]; [77750224; 95047373]; [7239941; 44284314]; [65403450; 81058557]; [91030527; 65703359]; [27245637; 35833606]; [26835635; 50465175]; [69754248; 88429203]; [29898650; 96002615]; [87963276; 71429225]; [85628303; 98335786]; [33958547; 73760388]; [54242582; 99632143]; [40583876; 72094623]; [45994403; 21883667]; [46475437; 53125262]; [35711083; 31030926]; [79030842; 10779006]; [41258986; 48685933]; [84242854; 59668531]; [97267110; 34014609]; [18222173; 84422573]; [66308261; 32074129]; [5580120; 1447199]; [2188281; 36785680]; [99227826; 5191006]; [82110302; 97340133]; [10350347; 29565795]; [88340904; 59158103]; [56666158; 73931702]; [43217782; 61018863]; [72078164; 4886753]; [23355037; 20947778]; [86328265; 70997292]; [32724467; 41342783]; [68712492; 67815107]; [39271895; 48256270]; [50427369; 66611824]; [31530091; 90905268]; [26425456; 73296258]; [43324606; 54844675]; [12113843; 70299510]; [2403507; 80669290]; [67544833; 73857871]; [36309924; 8507896]; [53411387; 40916146]; [80803952; 80618897]; [35251681; 13296290]; [76755784; 9914862]; [31439017; 77256377]; [94425402; 96558148]; [30514270; 30725357]; [79851530; 9328902]; [64036973; 13325179]; [70488825; 7398502]; [34133941; 56457218]; [24069258; 90321452]; [64185913; 6545804]; [77054439; 48058000]; [95313954; 12305558]; [1522182; 65974205]; [40174446; 64257140]; [33309673; 79534673]; [9431570; 23478129]; [62744208; 62203890]; [19179321; 44021786]; [6395714; 19021572]; [97474668; 37225064]; [16292690; 85013868]; [35623603; 6161539]; [75551608; 2114602]; [82200617; 51441708]; [84968092; 67307695]; [86739865; 15183902]; [14170353; 59354600]; [21295633; 47049340]; [87616540; 36889402]; [86512601; 50410834]; [14590945; 18267539]; [97085232; 75383466]; [5905543; 63614242]; [52137103; 29717781]; [63796180; 42287736]; [1152717; 42994159]; [31969436; 77193595]; [53046132; 65332751]; [99368476; 62463493]; [27010142; 41621527]; [42292714; 8754159]; [58865982; 15818229]; [82508839; 93265122]; [54294034; 69250449]; [46032660; 58541878]; [40181357; 97100330]; [77145932; 28477276]; [22465578; 98371157]; [20376553; 36471848]; [70079055; 2168211]; [23006130; 18845386]; [18764755; 80483616]; [78063228; 50124612]; [85566846; 96315619]; [86957609; 31124243]; [53664684; 56803140]; [94564079; 41542934]; [48170917; 63893495]; [26023972; 95423940]; [51205876; 62867677]; [57275337; 56625438]; [39567288; 22312390]; [13115092; 53121537]; [41275907; 69779629]; [99719086; 28576738]; [35068138; 28903397]; [84223379; 65437073]; [98549353; 35298653]; [71243647; 15888976]; [97831251; 9853823]; [90995985; 40553865]; [84792414; 86157246]; [74222627; 12709806]; [74790143; 33525210]; [75822698; 11734483]; [36102274; 7447988]; [16304965; 7186291]; [5455036; 35249035]; [81659195; 21491990]; [91399465; 33975398]; [65779846; 63846366]; [27788384; 80490763]; [88724620; 69720503]; [45042960; 31136890]; [42679622; 7679268]; [6256574; 86839482]; [94504244; 81533197]; [48762476; 3707148]; [74156950; 97379103]; [2129903; 95370147]; [82362444; 51264598]; [17968218; 41544703]; [52758388; 98139216]; [33355104; 26120480]; [22022013; 86824696]; [19944775; 39891054]; [10536780; 99476550]; [50272135; 68362141]; [94582779; 62693285]; [21604845; 8784020]; [6368273; 37414470]; [39846305; 5565597]; [20121053; 60341862]; [42227381; 56512504]; [77066116; 56338587]; [99663306; 44170642]; [60966253; 36740810]; [37612816; 79880297]; [49796668; 96302843]; [75694748; 26050680]; [88674274; 6109213]; [13391871; 27510666]; [59420517; 84974786]; [72368199; 79351398]; [38079669; 96967833]; [46511581; 19298415]; [67843795; 79480475]; [27923948; 81309612]; [72892378; 9460118]; [62264371; 75263670]; [2486048; 32404236]; [68706252; 37641556]; [65435373; 52395601]; [14944038; 79141874]; [59278652; 72543503]; [8921197; 71514573]; [87442743; 5088980]; [74863908; 84090843]; [98269628; 1196472]; [73314994; 78539838]; [39413375; 69801983]; [52144070; 92277757]; [13431549; 65976078]; [93996926; 1690397]; [81074612; 69023147]; [35791696; 27550864]; [21645069; 29590934]; [32902294; 68707466]; [75045485; 14920171]; [87582324; 29042059]; [99230985; 790498]; [48852365; 32849321]; [63371102; 18011000]; [8700064; 82766678]; [2710229; 99382585]; [3267732; 57456784]; [55748857; 58493902]; [91742547; 78065045]; [40978160; 31981671]; [44118; 15277196]; [7773062; 820484]; [71103963; 52163067]; [98192732; 64692951]; [38809097; 84629091]; [54169743; 78739499]; [31211522; 57432202]; [72788500; 21668033]; [6354945; 79560034]; [66221143; 84737730]; [81840678; 11996159]; [29797505; 11838109]; [26104579; 970815]; [82124176; 73803473]; [27178206; 94643701]; [15399266; 10009662]; [46273667; 37499965]; [62825673; 30916880]; [3408734; 74390990]; [82571147; 13008641]; [85005516; 67415903]; [37420715; 34759181]; [55156091; 46122575]; [94169233; 84114595]; [61596868; 79030887]; [94148186; 63160573]; [65288887; 97803475]; [23089963; 12281101]; [92902315; 39725952]; [73176997; 501177]; [38390788; 34219009]; [32609880; 45611940]; [33866929; 47716643]; [19314589; 55346401]; [1832839; 70134220]; [89145670; 77525659]; [97254102; 5455267]; [31508961; 16317765]; [79812375; 66884572]; [21516230; 81720656]; [26423368; 4826930]; [36165767; 71969590]; [61985813; 31241666]; [16317649; 34266965]; [61184196; 51456556]; [76818638; 71749496]; [24749558; 92720576]; [44012473; 5024127]; [8348563; 77364729]; [79323968; 11684125]; [91344936; 30471787]; [90313389; 17985738]; [64660591; 66525630]; [14551239; 6840558]; [98355256; 36686818]; [9784481; 50613222]; [38179816; 91792068]; [93845843; 21342757]; [15389832; 96986958]; [47566190; 64983209]; [63643014; 57903003]; [69117801; 3562321]; [14077961; 85264510]; [40688771; 97872664]; [55741801; 8481566]; [28320758; 22893653]; [96668100; 73466628]; [83527208; 48205399]; [5294501; 91245075]; [56712022; 90485842]; [96798214; 92589573]; [34278403; 17687232]; [39393186; 38140029]; [65334502; 42795423]; [64885526; 2776815]; [36261719; 86072225]; [20881738; 82258356]; [64578747; 85920687]; [97801666; 72667869]; [92028913; 62153855]; [42395926; 28112956]; [40653158; 67944765]; [18383171; 52265775]; [36204607; 39843298]; [33180470; 26231096]; [30276386; 77699277]; [11907086; 73716034]; [70884622; 40975538]; [40952842; 29538325]; [34196341; 70493126]; [98047174; 6551018]; [5655959; 18682666]; [43632394; 49622518]; [34308819; 57256841]; [76312252; 70096468]; [65121954; 70670935]; [83941243; 60532753]; [30941835; 9213563]; [17948744; 7758521]; [95488418; 90289828]; [65844411; 55993161]; [80038563; 1369353]; [34793070; 67013761]; [95850431; 15003650]; [60980581; 37210438]; [56109144; 86165106]; [39233917; 67467968]; [99580903; 9156409]; [31042878; 52575772]; [44690142; 58916465]; [2148919; 21183737]; [69619382; 19576045]; [34297311; 4178917]; [79409459; 11013176]; [24339842; 93615755]; [87621910; 50483656]; [95987215; 44988523]; [10589443; 44535608]; [18618602; 22080492]; [28379397; 99109251]; [22409619; 3538174]; [65098579; 86565180]; [54807943; 32799719]; [59202261; 66262656]; [48950439; 62770164]; [36424363; 7846647]; [14223098; 27244483]; [3853842; 89384771]; [92048810; 35613051]; [99972975; 95939462]; [36410277; 7521136]; [85988903; 71560796]; [50485063; 80994770]; [85343688; 36064742]; [36627550; 10349753]; [11900592; 85047587]; [42416115; 59371272]; [58006524; 58217066]; [77903094; 80785983]; [96751869; 80473634]; [67539900; 41964810]; [964700; 79735251]; [48554609; 28800966]; [70614327; 567332]; [10540674; 19592780]; [82137425; 14935551]; [14459695; 63753358]; [88801100; 93550277]; [50976792; 20468453]; [78524706; 87848007]; [2352165; 11722063]; [46309364; 41585066]; [37551202; 27454603]; [84181316; 94785148]; [18834080; 17463268]; [94393276; 51665885]; [42943850; 57278690]; [28010799; 93892629]; [44547157; 96777949]; [6587354; 53809697]; [26500213; 97201730]; [65086965; 4246107]; [2288253; 96363041]; [57453737; 33293087]; [33658068; 35050683]; [73135030; 86873288]; [6452969; 43620323]; [15008227; 40748988]; [19443165; 31356258]; [46906676; 45496232]; [10137013; 97546954]; [91208416; 90813584]; [54066949; 30188117]; [53412985; 46908726]; [57183301; 37468900]; [40041275; 39468779]; [37411941; 46471739]; [82548488; 30278594]; [27262723; 66428849]; [86424109; 17021702]; [30744487; 92250155]; [77182408; 67492847]; [70095321; 46439104]; [2931176; 95504072]; [64822500; 18300446]; [50282612; 65516902]; [83169794; 42934650]; [44089436; 12624230]; [77210869; 84503819]; [83093139; 26521475]; [10483758; 49280637]; [8302506; 90346681]; [66846360; 14360961]; [75839667; 63030212]; [65561928; 96322073]; [11962192; 77387048]; [42705648; 69081701]; [82185854; 91866395]; [8838970; 48862904]; [99608012; 81676030]; [35652423; 74000864]; [72098152; 22196061]; [90141131; 45800947]; [64396249; 83861121]; [53252087; 25771130]; [75088493; 4791785]; [20409109; 17324888]; [31725969; 9739353]; [74507388; 14310895]; [16957810; 39153610]; [45279460; 79361498]; [54792643; 31089102]; [41830383; 70546060]; [80937886; 54572917]; [97570546; 85959636]; [11607003; 49856429]; [42599857; 79348781]; [4748436; 29564474]; [85845403; 1425195]; [53946274; 47318715]; [11285686; 60280194]; [74779148; 33387008]; [76064154; 43711240]; [32850819; 53838637]; [45926461; 22735054]; [50294773; 90132667]; [57123746; 70807858]; [43964962; 37471375]; [31390329; 2734917]; [984004; 36785430]; [33230375; 10828199]; [90001689; 46142641]; [1802165; 22296209]; [14484331; 23268427]; [3052831; 99712297]; [36255380; 23118667]; [67217128; 22055718]; [2744968; 2624040]; [40565079; 8851491]; [17455883; 77916202]; [51317426; 71889322]; [87902611; 61885144]; [81885470; 79216899]; [92523065; 74137011]; [6637789; 39565287]; [88163878; 33905911]; [90897294; 99905627]; [64878277; 46758528]; [92699165; 85345162]; [62778489; 32548763]; [376714; 27754403]; [85769868; 98128825]; [70921425; 19299350]; [2819118; 8752392]; [10692578; 99531212]; [22809333; 93727364]; [10743514; 25415236]; [86934642; 6343041]; [34109557; 66178892]; [16036640; 22461812]; [64794917; 72111284]; [59653702; 24433045]; [63109620; 6971824]; [97458643; 83654095]; [53716790; 63929896]; [3138071; 64056350]; [56691212; 27646662]; [18756711; 20783754]; [39377559; 99968371]; [12464744; 89961839]; [8912026; 38141905]; [62184317; 39446393]; [67428043; 45586363]; [27866037; 22392941]; [91330452; 5167583]; [22771869; 32609780]; [14467191; 6284289]; [44827873; 83627350]; [73699646; 53234246]; [21606155; 34937912]; [77377693; 49336767]; [68103856; 74797546]; [67812448; 88026123]; [97940157; 82917745]; [61772144; 29070330]; [46099951; 6641447]; [42019336; 41980250]; [65932288; 78089200]; [68058491; 58831760]; [25722759; 56459199]; [20067290; 39134525]; [69985621; 69464347]; [8923280; 75830405]; [3540066; 649973]; [3180131; 84331629]; [39177289; 96104431]; [25736679; 25903945]; [45404511; 37538839]; [13216758; 94858739]; [62742402; 51401837]; [19597686; 72115437]; [5885945; 3702401]; [89558335; 33839398]; [51097237; 4665156]; [10366979; 39769992]; [99385222; 76018011]; [20544277; 67580896]; [989195; 89464082]; [29086741; 87224415]; [97274354; 91849594]; [42175755; 21315556]; [3475733; 96097313]; [36606394; 25347327]; [33227434; 37779606]; [66568677; 12674577]; [14271600; 22852982]; [78004273; 25890346]; [28646311; 91112462]; [9662729; 80095575]; [8675712; 57335763]; [13009703; 75394340]; [98925470; 23719004]; [71935242; 11920060]; [71698524; 80540923]; [71255871; 80380992]; [47043698; 27596326]; [94684493; 24790451]; [729571; 19120694]; [13928106; 1453787]; [48641756; 59679415]; [51666820; 56116376]; [25697392; 67582993]; [57553149; 84667883]; [66164660; 51594839]; [77612133; 83751426]; [47804073; 60423949]; [48538742; 12026765]; [63162470; 13942808]; [23457691; 12979020]; [90419201; 88468945]; [3265217; 61226767]; [40473600; 99265616]; [10806480; 52947221]; [70238674; 66215649]; [2587358; 63910101]; [34766581; 56683430]; [86444805; 83109285]; [22753450; 371360]; [94056742; 73186960]; [66832770; 80330532]; [88782547; 95158253]; [40881656; 85784867]; [20874119; 69731781]; [38553680; 27218278]; [82758850; 45697443]; [25059476; 94820934]; [72399820; 21404596]; [81226172; 686165]; [99016696; 99351417]; [74829318; 72162616]; [10044104; 67744631]; [19266737; 2539019]; [59441570; 1785774]; [92528737; 85474561]; [11539230; 64929424]; [62477147; 31183712]; [2420358; 75690575]; [2234706; 79212091]; [70313477; 13882289]; [11752007; 51688897]; [30037940; 72388613]; [95050724; 16885108]; [25484442; 93514146]; [70906362; 72016821]; [47110118; 16839556]; [78173163; 36385154]; [74679136; 1828660]; [60995108; 76442806]; [76539156; 62442700]; [87336548; 79228315]; [56258782; 86046619]; [1030050; 98444309]; [51015335; 94935727]; [55709535; 69963711]; [96818881; 84506991]; [30051576; 96354338]; [28919321; 55999233]; [26892072; 46235241]; [88895051; 35220777]; [36436221; 37056666]; [83071851; 78678419]; [35645633; 67934491]; [11857608; 64587848]; [39715369; 59057327]; [46876973; 36952525]; [94512621; 37047449]; [93406984; 4468409]; [65413735; 74921402]; [34095823; 446277]; [6846089; 20888854]; [58216691; 50054488]; [9520392; 10954038]; [67731402; 12322628]; [47186706; 41906355]; [79137509; 70616716]; [87996854; 87287013]; [72063604; 7249533]; [74131678; 97711935]; [43534260; 29282302]; [3247647; 89241695]; [83847793; 35351009]; [6986515; 2108306]; [3211889; 1641429]; [76118532; 8574823]; [98525132; 17847053]; [76014061; 48906646]; [53325575; 15753917]; [55581573; 27025733]; [82222047; 64723125]; [67577887; 27180399]; [21376645; 7280923]; [80412832; 32459315]; [3714747; 66535482]; [9804556; 63060654]; [16114597; 20858658]; [96114746; 36153334]; [53833446; 50827550]; [23745974; 9258359]; [861846; 97484654]; [72158941; 38376363]; [15008572; 92453830]; [95381474; 32793651]; [13278754; 84412680]; [89133468; 34011564]; [79137955; 91499579]; [27183183; 44280396]; [26650964; 10874390]; [24372675; 33040659]; [31709219; 12287082]; [37340222; 14988581]; [69996464; 73095982]; [47064325; 66209576]; [57267551; 54167608]; [85534659; 19372937]; [73849564; 95093983]; [92942374; 32669906]; [51032524; 94632542]; [90693833; 10713761]; [29230625; 63644377]; [29769276; 52582681]; [13437363; 56654557]; [31662205; 83771395]; [27977406; 43487089]; [52797772; 54231762]; [99494397; 5166917]; [8113513; 10795039]; [41193915; 3234121]; [784623; 4301916]; [34584918; 98894415]; [19945427; 97931819]; [95128313; 95594672]; [3041860; 90818178]; [34940161; 64547233]; [57161796; 13370769]; [89827386; 25647227]; [27281836; 11900212]; [565327; 86914097]; [29067560; 5306740]; [15356629; 70352277]; [29877167; 49670656]; [58877822; 80828591]; [38675860; 49136213]; [40606180; 61589420]; [49310951; 33494079]; [59146215; 8950570]; [2810355; 57743402]; [62184211; 24841936]; [89084158; 93510616]; [71746602; 5777307]; [76652147; 80980844]; [73560604; 76485476]; [9440830; 30099986]; [15488522; 94641752]; [48339208; 33510484]; [26500226; 88830828]; [22662714; 77109493]; [88198656; 41740064]; [79894131; 84161158]; [25052393; 91014815]; [80811963; 39592667]; [29724672; 18652869]; [48296650; 38228073]; [74256728; 95048952]; [21978318; 74442081]; [46801879; 51911207]; [2934836; 9042221]; [48314627; 55487955]; [14732149; 57926886]; [70713264; 82848664]; [76022426; 53592657]; [49365170; 7830679]; [17422867; 52550986]; [38257778; 94084451]; [4501513; 71104210]; [71388307; 67611223]; [82624782; 4580646]; [82054935; 86356884]; [23975020; 51373946]; [72302703; 31876311]; [10212402; 71539699]; [75812015; 12110831]; [46560914; 28863565]; [48630548; 80982980]; [4055667; 48635045]; [95644856; 19369464]; [5645777; 71713104]; [75269149; 18938692]; [48907376; 28362938]; [49798240; 78494377]; [19525973; 20647423]; [7281376; 13889448]; [87012254; 46975839]; [89835616; 18151369]; [25031444; 29595863]; [62866207; 98279451]; [36201403; 72476093]; [27495398; 92505947]; [23427885; 2172744]; [88088234; 64149188]; [13507375; 65665954]; [43145085; 19813507]; [6207205; 2671437]; [73159963; 27885262]; [84105793; 79173472]; [45005847; 39146448]; [40193069; 39607503]; [25740489; 93351368]; [6167009; 47532039]; [4304158; 20905307]; [62411017; 35335094]; [67012395; 27629666]; [88875894; 25681430]; [65186676; 81130147]; [21018696; 77621064]; [58303261; 16024065]; [79595623; 4933673]; [65429676; 23730684]; [93985943; 37562509]; [21393350; 43711606]; [595571; 91029695]; [54783610; 56107772]; [44957996; 93269878]; [34376592; 52187633]; [80787236; 602076]; [25596653; 27305612]; [83900659; 34859508]; [98994780; 87366387]; [36137600; 34728608]; [30137924; 85047689]; [60782617; 86203742]; [90695690; 38481201]; [15714437; 7192145]; [62972438; 29301651]; [89058454; 89413899]; [38931786; 42720799]; [62033127; 45300284]; [98028092; 35895045]; [78236812; 78109778]; [87674110; 86356425]; [72644367; 47864140]; [14458167; 23769645]; [3706066; 7196106]; [95707170; 98444240]; [66913558; 5053627]; [1321218; 33831621]; [18370595; 16171750]; [11159911; 11973227]; [41989123; 5159333]; [71771904; 98631622]; [10193222; 98842942]; [65942582; 20024281]; [7835640; 32551614]; [51085866; 62639582]; [29741941; 6330361]; [67413393; 89509758]; [24772678; 57012494]; [39399197; 14690122]; [26700647; 42301878]; [80919548; 47159740]; [398504; 83155302]; [4045461; 94962905]; [86628222; 68562582]; [1911783; 42800117]; [69748113; 91793623]; [93069686; 34228367]; [67542784; 47211507]; [76284704; 14545709]; [72530887; 27067148]; [87686739; 43945334]; [74722181; 91442143]; [41976689; 30862536]; [85896413; 85046709]; [61805514; 71801386]; [40944186; 44301928]; [89525508; 59330427]; [22918119; 26099702]; [18082688; 29942931]; [65657702; 53274795]; [40850531; 98082255]; [27820689; 90494508]; [75866295; 37682400]; [62419841; 22543335]; [90669356; 70069552]; [8189563; 80777097]; [23104031; 20709597]; [44130551; 12668409]; [18286056; 11301967]; [56444019; 53989773]; [62697299; 13642384]; [1502135; 42742870]; [26540679; 11808867]; [96917764; 84220128]; [61592774; 36550488]; [29858388; 74484990]; [3919265; 62560232]; [42767911; 81611435]; [11896967; 60774688]; [38075077; 90975541]; [5394682; 7557763]; [21641473; 25584491]; [33775541; 31842260]; [55633554; 58791365]; [72914141; 9326173]; [94776830; 971220]; [84497492; 88098596]; [97945906; 93387746]; [34575735; 91902994]; [12748230; 98697521]; [80100652; 97860881]; [67196623; 6443046]; [20640670; 88395787]; [23773965; 96159371]; [29710159; 69056253]; [86630680; 76397766]; [97673280; 94432979]; [56092507; 82313840]; [60738238; 24185008]; [34091129; 60431048]; [60387388; 56146506]; [71008239; 53538467]; [90529542; 48593312]; [87843602; 74091253]; [32115811; 3538431]; [21357323; 51462605]; [19464846; 48085463]; [60240476; 62274675]; [4462435; 38702848]; [24719328; 42043560]; [22090061; 40671554]; [16146005; 64260995]; [31092162; 66125078]; [27714209; 75004020]; [21509968; 56357041]; [57150298; 18011944]; [15241593; 69928374]; [76236703; 64880485]; [55747077; 63279962]; [5975934; 44354741]; [32439989; 83547273]; [51375272; 42394765]; [97297629; 14434248]; [52208227; 40460808]; [64251946; 32776845]; [27363262; 28285205]; [70757725; 39036881]; [33897558; 69150519]; [52944102; 55488241]; [56960260; 1254453]; [81799910; 85270044]; [91495803; 10984229]; [92161953; 85747156]; [20378262; 14077798]; [37511604; 6786850]; [85379518; 34077435]; [58534766; 76674894]; [72347550; 93546090]; [67212006; 14301262]; [84473596; 57746125]; [9582550; 26679464]; [19210137; 76123335]; [94553253; 78701223]; [15311286; 30283646]; [999587; 54410367]; [36689147; 48361409]; [48273078; 49723883]; [42710988; 31809093]; [92572843; 33095101]; [96096548; 33631744]; [16701945; 7318009]; [58379559; 40956622]; [69868606; 71399122]; [58121712; 77038394]; [77878320; 51772703]; [78398751; 61013985]; [3954331; 10606954]; [85284443; 22439092]; [26005773; 77470004]; [92585315; 10716997]; [67144571; 90281175]; [15671009; 83484709]; [40468878; 40172031]; [46676151; 15404143]; [58686989; 50611182]; [9451941; 7318369]; [30420431; 8829027]; [49800256; 23592060]; [47038978; 57616472]; [95540060; 19969723]; [67678583; 60054516]; [13122681; 36765085]; [3008690; 84430251]; [35744538; 42034147]; [77953524; 76613146]; [36032716; 55641794]; [15238010; 90776347]; [26685124; 1137834]; [17127382; 33541066]; [63652583; 77714529]; [7286908; 43961461]; [2562672; 54651828]; [69097939; 97507602]; [10356080; 82759559]; [7971747; 63850527]; [11818898; 88458248]; [75052837; 77103543]; [79812886; 58406351]; [88665536; 57853413]; [33636125; 6550638]; [66558848; 20929586]; [90622934; 55071359]; [54796824; 49631087]; [78882391; 37092345]; [14287378; 5712738]; [91797578; 75106265]; [61300378; 38024463]; [82850292; 82680813]; [27902538; 37911697]; [47303864; 63870986]; [54376306; 95698629]; [29638337; 51247646]; [40526337; 18500222]; [62435825; 13360085]; [3657623; 21436159]; [64370922; 1401639]; [11821358; 71033151]; [39099841; 48322699]; [49688575; 56584726]; [82786843; 46617111]; [24262534; 12883101]; [10674548; 30993356]; [55273497; 30139355]; [41729950; 29874692]; [19177029; 35107188]; [37200804; 45889109]; [61689868; 27991585]; [47139572; 49453570]; [44035811; 48118321]; [32521559; 3772995]; [93015105; 87263015]; [93957594; 24563291]; [54641084; 11026568]; [26204118; 41220712]; [64360637; 68830229]; [24528660; 11041315]; [60464160; 33297157]; [91663822; 71666117]; [16781570; 90481242]; [60683717; 57422785]; [53808043; 13723819]; [57945733; 75151727]; [31391972; 86612466]; [51572322; 46630276]; [98682876; 45054485]; [71597686; 68167255]; [3582515; 6406932]; [83000694; 9785327]; [6131579; 82023221]; [44915485; 60072746]; [63336866; 6253479]; [89382131; 34505013]; [67365462; 46536631]; [63765637; 20370631]; [17752104; 34025845]; [38537521; 6021233]; [135729; 18749575]; [47422296; 79439213]; [54517469; 57936433]; [78423863; 63649350]; [22366338; 58864194]; [72136456; 2579129]; [71260053; 51877119]; [4138649; 28111215]; [48468789; 98558626]; [46386787; 80938819]; [54290636; 11757977]; [78196668; 60127296]; [57574248; 98902863]; [2169770; 79109415]; [34566750; 10786651]; [55583429; 48683807]; [1769181; 62813157]; [79887692; 26221063]; [99312320; 16249836]; [24415119; 56241326]; [90363814; 50994752]; [38905395; 8495677]; [53463; 18613431]; [59817792; 32084721]; [80815940; 24603206]; [24136661; 46844096]; [18826828; 98934990]; [54584993; 34584010]; [3064252; 35060496]; [80817178; 4926931]; [61079342; 26220491]; [52822614; 35117435]; [11813322; 29334423]; [41509488; 93892734]; [8536792; 29282194]; [32338900; 22475631]; [15061748; 48118475]; [28103675; 90218399]; [46914032; 92528946]; [57895460; 4648018]; [33131430; 72850057]; [67103285; 40075226]; [53915459; 37108861]; [71414334; 15447268]; [45411279; 84584713]; [82480024; 36459908]; [49360624; 18871347]; [3838894; 60319450]; [73456151; 10204529]; [40139357; 30736971]; [62840767; 64984572]; [30493318; 75202415]; [3706084; 93192218]; [14354882; 21595298]; [56279408; 80787765]; [5891654; 39398283]; [54039726; 36843534]; [40441805; 99299656]; [36086700; 73658986]; [22213639; 88793278]; [47595974; 19958281]; [51195099; 37194333]; [2830379; 11824802]; [33732370; 83416357]; [366838; 55682116]; [55878152; 80244634]; [75319308; 87395179]; [25578668; 71586800]; [65222383; 90203693]; [70169660; 61213642]; [98585542; 36216442]; [63284700; 32784035]; [50234248; 97953173]; [30027922; 17944094]; [39547025; 43983539]; [12309179; 26064534]; [30215825; 21666057]; [44855855; 65450514]; [32116148; 59930201]; [27593120; 21884062]; [36756145; 56125511]; [70273390; 89597102]; [3735685; 66762103]; [55925831; 70073528]; [36396704; 13734181]; [64379860; 73128955]; [19290842; 14289865]; [75332716; 99051272]; [28869708; 76598072]; [63308880; 23124508]; [1596557; 88599748]; [71204695; 65908036]; [2595463; 22097973]; [60337191; 90291238]; [15966321; 31062437]; [64664170; 72149052]; [10606561; 81619614]; [50619318; 68452459]; [58451807; 74329800]; [31799937; 38408432]; [71238286; 11156339]; [61779955; 97018435]; [17678000; 96391432]; [53465383; 45238986]; [49967598; 73085583]; [77649830; 603885]; [97636968; 83532614]; [44602255; 53399931]; [87397876; 24331313]; [6294749; 7869379]; [47719965; 33492424]; [6129806; 83636993]; [84914271; 15066975]; [25807400; 42265]; [11116169; 11314268]; [63659326; 22494895]; [42723113; 824965]; [16149708; 43243329]; [11059455; 89144093]; [18675134; 37682634]; [86386409; 13531806]; [63961658; 81352422]; [27306499; 30625368]; [64315161; 23092883]; [31273151; 12233336]; [67048866; 9500873]; [17182177; 10479117]; [57337977; 83134825]; [73438109; 23991399]; [85148772; 28670225]; [73507976; 41142857]; [39664342; 43521650]; [91034379; 39302150]; [66780319; 4524257]; [32985372; 99385456]; [44022994; 52148967]; [97471824; 96520102]; [72637801; 47959745]; [15022149; 83587955]; [49285388; 85898828]; [35628378; 51213956]; [3192691; 36961740]; [81505795; 66287935]; [79298198; 71343894]; [61387882; 9669818]; [55148550; 85227578]; [6803349; 4194315]; [19217368; 1173999]; [41266143; 92734656]; [88143363; 29087756]; [99842627; 90358590]; [72196117; 61156028]; [8199591; 4190687]; [97388514; 81046025]; [56245810; 79559140]; [72735622; 43117219]; [94825647; 2346989]; [75998810; 49958890]; [63042030; 39137915]; [10062015; 90756877]; [69839144; 87204990]; [90515198; 4693844]; [45757425; 27325643]; [52126575; 47841456]; [53533366; 83369272]; [76081493; 20291738]; [64685759; 42218151]; [12186793; 44774577]; [46066990; 24884940]; [2154873; 77420068]; [62257385; 39677124]; [48904051; 58234324]; [48735194; 10565909]; [57475728; 26894560]; [38067542; 46124896]; [66438349; 1854209]; [22401235; 73282796]; [79392905; 66735470]; [33939433; 2412952]; [26456933; 60126706]; [10832997; 55806497]; [13531485; 15127807]; [70909444; 95088585]; [82065258; 37946154]; [23004615; 56019554]; [14144169; 50285589]; [11104745; 46901323]; [75542423; 31842097]; [20264113; 56781565]; [5498666; 94177986]; [41087116; 65021473]; [48984977; 22629545]; [53108819; 67935125]; [76160114; 99966454]; [22999062; 89563107]; [53125615; 87697221]; [82197883; 47626077]; [82970545; 22176374]; [77373442; 83377895]; [37844492; 40419809]; [51050751; 40976563]; [90361376; 13837747]; [18519017; 18006930]; [86238349; 77241074]; [36084346; 3145561]; [28251307; 36227656]; [52517253; 20149246]; [52386740; 17246053]; [13299019; 14769681]; [41150284; 99689136]; [78057000; 30655527]; [83937009; 56895237]; [97578662; 81355230]; [3727270; 60546234]; [49116196; 78023518]; [66927919; 93212215]; [96273196; 34678608]; [72198431; 15988461]; [27685473; 59765128]; [77474335; 74308793]; [66161052; 68682579]; [54592323; 89941624]; [35118071; 8132597]; [60925029; 70470075]; [5476340; 71359167]; [86757141; 22894247]; [41846470; 91485775]; [47268957; 11967300]; [56679729; 86766643]; [13689901; 2578417]; [41413753; 66445321]; [84947225; 76659815]; [57546944; 83965180]; [23948196; 22720822]; [92996702; 94696124]; [23948353; 15967792]; [82670645; 53258205]; [93702370; 80503659]; [54633670; 95670308]; [11788500; 67022339]; [93548335; 10550907]; [65839731; 46391961]; [86045756; 13511099]; [35164049; 64507614]; [7147768; 90364002]; [5080020; 32514891]; [67475286; 60589791]; [13450629; 17894819]; [54168989; 68062548]; [18592286; 93454094]; [32702987; 73412998]; [38394196; 94451046]; [59269405; 15537451]; [62622506; 50056189]; [43900757; 27958824]; [50259161; 31467694]; [4819514; 36653135]; [55084506; 86951746]; [79306318; 69635664]; [18799703; 30821545]; [38702989; 34597664]; [22294562; 6157539]; [94358604; 35080838]; [37978570; 87818909]; [26671557; 99725120]; [9805578; 53957265]; [34929918; 66703237]; [15519663; 87389283]; [93896358; 74676076]; [70792941; 75039180]; [86785140; 62918173]; [50592975; 81310775]; [66118241; 19545813]; [81852316; 52447311]; [68206083; 66854885]; [40455958; 38208685]; [84081748; 84322057]; [20395566; 79010558]; [11830822; 85302262]; [95351819; 29654181]; [61313257; 52648844]; [60926413; 55189453]; [15221312; 43795952]; [60529778; 89290004]; [27584380; 67717126]; [14769093; 87201910]; [58689468; 82323930]; [63330178; 35636969]; [68301430; 92536211]; [39663816; 65615756]; [76825822; 67040673]; [74364173; 75532816]; [86966391; 52798067]; [12994768; 84629425]; [74764344; 85243062]; [72225227; 1972862]; [86074287; 10332035]; [73606557; 17230594]; [73306561; 49937200]; [44081616; 28916507]; [39919537; 13706101]; [89192927; 17803341]; [18324607; 14370061]; [900466; 36367147]; [23612103; 92425218]; [21193320; 41903859]; [63859214; 49030880]; [23981461; 88698955]; [99300299; 94852950]; [82508254; 48066575]; [63523109; 33328017]; [89022641; 40274299]; [87912291; 4268839]; [34884074; 25858637]; [79026591; 8888806]; [10793998; 79487494]; [81410210; 28852772]; [77450762; 79558943]; [64561766; 10303944]; [709201; 9812870]; [42266408; 23669797]; [40076354; 60013142]; [1704512; 50126496]; [35345681; 14480198]; [76499966; 32141479]; [72651400; 72476433]; [73821210; 85288522]; [63184860; 8445326]; [86926232; 66705688]; [62899384; 27049378]; [77843070; 59269477]; [43662378; 39243081]; [42195868; 68371522]; [34247512; 55082535]; [76409600; 78543772]; [77760495; 96223497]; [54415172; 37251445]; [86345310; 348241]; [89886193; 3187321]; [86303807; 51971780]; [46405097; 4645014]; [44436724; 87669421]; [44650470; 2447870]; [37862459; 48864779]; [25600260; 14797448]; [54764595; 57050045]; [76285842; 44911112]; [23629174; 86529728]; [91095404; 61940542]; [9402237; 42822505]; [3146510; 8865960]; [94218106; 79443255]; [67611420; 36519914]; [82033221; 34801305]; [22290589; 4628420]; [20002971; 48757013]; [43034399; 55072247]; [77874387; 68349713]; [69408495; 76216788]; [52942965; 68895865]; [33813294; 65840670]; [53140244; 99762870]; [95666346; 32102570]; [53666966; 35747113]; [24787511; 18366673]; [25039550; 93436929]; [97625702; 62069211]; [24165658; 38628402]; [55376099; 51954998]; [10664826; 4928717]; [12287379; 81111177]; [79525918; 89253251]; [93595946; 6621652]; [11803996; 75030974]; [6062093; 57543814]; [35493903; 55279967]; [75509664; 34143064]; [96096034; 7367637]; [73590134; 45465432]; [61608601; 14958533]; [13069969; 38534354]; [80045226; 12866033]; [92703294; 12499037]; [51583976; 70276114]; [8178268; 50981198]; [51755983; 55323744]; [53051487; 37923363]; [78911015; 63566524]; [37061574; 96073107]; [89710511; 64446905]; [39101676; 51089862]; [71472141; 95899843]; [8412104; 84586726]; [39996845; 74472850]; [17068559; 37292728]; [59787492; 27845003]; [80567262; 68937584]; [14171890; 29614983]; [19133086; 18090604]; [8103679; 41454412]; [47273134; 35743270]; [16075138; 91999505]; [45529584; 96457034]; [69664148; 28101378]; [23344903; 66369571]; [68160412; 23180184]; [36876349; 75718713]; [9801487; 36631482]; [96875051; 12536901]; [61666480; 53868229]; [30146051; 68909661]; [81377464; 65101882]; [95391966; 43630706]; [14157320; 40506906]; [7655418; 36280738]; [12527369; 2053523]; [32133806; 27256906]; [34847735; 59678168]; [39947529; 51076725]; [54146017; 7664558]; [5558523; 77282409]; [54560061; 70067613]; [33869333; 4667136]; [23347893; 2899694]; [35358612; 19450384]; [57930406; 49097295]; [71743482; 76552765]; [29587908; 32501248]; [92006810; 10373754]; [65288595; 51980918]; [86311579; 8009922]; [74753; 7042724]; [20942327; 43354557]; [43488102; 24768235]; [73023904; 22123960]; [43160309; 42317660]; [60327609; 94068438]; [70137772; 80872742]; [18231409; 49508840]; [90101959; 41780025]; [17369590; 23337478]; [22289990; 56236944]; [96448538; 29101164]; [82864292; 65425644]; [58837827; 58106971]; [77226910; 48947004]; [72463969; 34740261]; [48473662; 81025950]; [92825382; 48859254]; [62765613; 83711720]; [3140939; 98292481]; [10198718; 94472509]; [72501303; 29029614]; [99632816; 57596478]; [53189061; 49574828]; [43261355; 42797819]; [6720681; 77672753]; [3613569; 94850592]; [34028745; 50360415]; [98830407; 41803571]; [1324898; 23437784]; [6466295; 58719690]; [36637341; 71462589]; [49753196; 83732543]; [54757438; 68555371]; [65661836; 85713055]; [55746112; 7961147]; [21071992; 53080701]; [16961777; 76732415]; [31943007; 99327348]; [68627314; 96519151]; [26065955; 86435795]; [96663587; 84556160]; [30849060; 22741411]; [19250463; 8142691]; [36268089; 23485467]; [45567864; 59985939]; [95670035; 37421665]; [35235828; 74986753]; [13659676; 96199133]; [75535499; 98763480]; [49218495; 90973102]; [4604461; 22943039]; [64668277; 6500440]; [87103074; 76686278]; [33654316; 9210991]; [57092432; 5686621]; [47751401; 58889040]; [88870371; 12291247]; [48216081; 95559691]; [397099; 86938589]; [39007098; 95396350]; [98857603; 45207361]; [46895973; 97998700]; [12414855; 12092966]; [39570306; 10196510]; [56305564; 33964365]; [57251768; 72008]; [68455394; 46061428]; [21046141; 38783018]; [65581802; 46147319]; [25453257; 23383989]; [74620782; 28909919]; [19809757; 19406316]; [68953938; 91668234]; [21857160; 50763638]; [81973625; 1735301]; [89009455; 65284566]; [44903854; 19332584]; [11172592; 24240199]; [73405953; 185082]; [58104585; 79138542]; [29820929; 16875920]; [18447360; 80560818]; [28648522; 90539995]; [11258637; 3774320]; [71521895; 51332261]; [76519790; 23843208]; [58741474; 2650191]; [60303781; 90870255]; [82934085; 56319666]; [18779111; 93994083]; [92932784; 8957543]; [53518565; 58313000]; [19626266; 29254889]; [4814090; 85545690]; [13215957; 17761310]; [72390717; 80078945]; [94389452; 33066342]; [84575751; 78686679]; [23587365; 96832161]; [29283327; 52392785]; [25409597; 62268870]; [72045449; 77133406]; [21767572; 78918045]; [69351493; 29288355]; [46696680; 48685795]; [82330639; 86587763]; [1837297; 87786547]; [6452389; 91629734]; [6179665; 16412555]; [595323; 18107579]; [61324752; 64020361]; [92425879; 31451068]; [29758081; 52883198]; [85308907; 52983052]; [88636500; 44932662]; [85037305; 77023417]; [39943828; 62396093]; [61465770; 53602029]; [37062275; 28003335]; [53607492; 44192248]; [46100711; 83906890]; [84728118; 6670995]; [13026913; 9264562]; [3704102; 18617366]; [80248606; 55127181]; [37425351; 94765524]; [21740554; 66002594]; [51903367; 66854441]; [27282593; 17413172]; [50992107; 33482572]; [17776672; 6207482]; [40506380; 39880280]; [97624806; 80651939]; [94785297; 290106]; [31520538; 29995936]; [54546912; 90216647]; [57363338; 19386545]; [83669555; 72312019]; [44940610; 67857998]; [54670829; 92473829]; [25625593; 23833056]; [34785960; 67991036]; [83383815; 28841723]; [67143812; 13363227]; [50271270; 13686251]; [92579291; 69102553]; [41134036; 13751803]; [77617064; 23085331]; [55899556; 76311194]; [53529594; 97302200]; [19307153; 52955887]; [75803800; 10591405]; [52594411; 52416219]; [17079309; 23331909]; [14019615; 74670301]; [9126693; 76690628]; [26295650; 43745908]; [76833027; 72607128]; [65000828; 112584]; [89086897; 79304294]; [57987062; 13840008]; [88423534; 78149879]; [53111415; 83210223]; [37672850; 64429660]; [49785285; 97836792]; [64322460; 86928327]; [45846447; 57214483]; [66045360; 92551505]; [99261406; 55825631]; [60510212; 48658474]; [97854654; 65118590]; [63815043; 37819686]; [83711527; 33620528]; [72458347; 68644361]; [34827699; 97567510]; [50378880; 46587319]; [7287099; 1549422]; [84394839; 92458018]; [49914740; 35833212]; [50819770; 64090359]; [22842931; 2118227]; [36010844; 12385902]; [80181397; 88051091]; [94613528; 85434414]; [54828056; 23588631]; [59690654; 82876058]; [26139932; 4478357]; [12563116; 54952542]; [9263747; 36803185]; [43681614; 69158045]; [2641330; 97866904]; [55007003; 6037050]; [27260497; 8104282]; [89386988; 38116580]; [83625972; 37843974]; [77567522; 41329283]; [32355851; 38421003]; [35034482; 58904772]; [53479527; 31340158]; [70024888; 14797986]; [76997093; 56525295]; [26625634; 79365591]; [96527213; 68534232]; [13519313; 73377271]; [42215108; 47556913]; [94995457; 45316820]; [19387904; 8498568]; [7763847; 4110244]; [95511709; 82941781]; [3186583; 21182033]; [9094211; 18840836]; [92569326; 48414137]; [17662060; 93037166]; [71178970; 46233277]; [36413138; 29591138]; [16042956; 32119844]; [72942846; 97381910]; [62278181; 63370630]; [94290537; 1760202]; [63819634; 31697578]; [13761933; 46344891]; [65732733; 82136779]; [46204476; 94890432]; [79749239; 98164147]; [83474196; 74261295]; [66699414; 75211049]; [2836627; 21282519]; [62791222; 58455561]; [86527473; 40888119]; [92051140; 53448182]; [27260147; 59142939]; [88282342; 80726330]; [29467109; 29264862]; [78167864; 97071936]; [35708140; 7300226]; [19947868; 41296690]; [3531466; 41150996]; [63012953; 41789348]; [28263038; 90837145]; [75192632; 10936733]; [32121603; 36571658]; [66979349; 26130462]; [89664171; 91357707]; [71917139; 23095729]; [77388248; 53494240]; [29717082; 94468308]; [91562834; 85591353]; [32159252; 65524192]; [61256181; 86764782]; [50269289; 46207077]; [63752736; 72319483]; [6609765; 37507549]; [67039084; 40220947]; [9546901; 45890503]; [6337447; 246542]; [53698066; 91957031]; [92761272; 23004981]; [85311215; 22723524]; [67288984; 41885882]; [5522468; 80343981]; [50500428; 25600626]; [68204846; 9182399]; [93889147; 62066332]; [41227620; 96105411]; [65816830; 865488]; [65245477; 69350916]; [34104519; 26994988]; [82563993; 82832235]; [1914958; 63207710]; [4561929; 27374083]; [43963402; 64121626]; [59627927; 26144795]; [94990179; 725320]; [3806845; 60928652]; [48317801; 48359420]; [83072138; 90574836]; [40713066; 78633879]; [79524712; 73915110]; [37139825; 12635460]; [35237905; 10400734]; [68453936; 37141345]; [12987890; 22587540]; [75390962; 99480134]; [27649853; 56514862]; [34968129; 72249833]; [376554; 18931898]; [18095706; 44206674]; [94058378; 98904592]; [5032327; 38664301]; [17683930; 11536649]; [62920433; 47084667]; [98021394; 29615371]; [82848602; 18781002]; [58718522; 53517835]; [34027643; 7856629]; [55184248; 1545819]; [8692353; 32876519]; [35883999; 14259834]; [74098110; 57372234]; [76050545; 57705711]; [75950829; 12479240]; [13761699; 7676149]; [35768638; 35706170]; [11105912; 73510788]; [68946082; 36648356]; [6718351; 58671614]; [8283558; 20189188]; [23718663; 28909109]; [13653659; 43300238]; [51300995; 56652848]; [54611042; 65877427]; [52448416; 2834789]; [22882450; 4222459]; [32314217; 36912448]; [42810264; 55258009]; [5071889; 52722917]; [30559148; 93518292]; [56836920; 99477687]; [93659185; 6885119]; [66150485; 43443921]; [55912161; 26791414]; [26703646; 12440705]; [57399528; 8471222]; [185488; 30928895]; [84578562; 2364192]; [78691632; 64571355]; [21879980; 46387214]; [64146177; 75317061]; [46011098; 2317929]; [43877846; 5479626]; [96003079; 67033906]; [7137599; 37695957]; [17589084; 74196606]; [38116318; 11648495]; [99133890; 19445402]; [49127659; 64307842]; [82990527; 32634570]; [3659052; 64553604]; [15421844; 77778079]; [35816456; 77584149]; [99203181; 10219749]; [94766464; 3111288]; [88563096; 28859810]; [84321147; 61927684]; [96388177; 13020451]; [78847034; 43333101]; [12973393; 27455538]; [35560511; 11427044]; [19715015; 32592040]; [10271095; 11951396]; [49732136; 53651077]; [68021210; 44300122]; [40294960; 16464887]; [45174064; 58923767]; [18100745; 28138351]; [65016936; 71834502]; [27845397; 9556853]; [94564245; 20789935]; [47652130; 34409328]; [84547527; 17891117]; [59914507; 46150567]; [1791518; 24770132]; [10609138; 57998864]; [58057662; 84859536]; [37024825; 73136561]; [97524226; 1038090]; [31149399; 52297777]; [99235983; 91656833]; [80504462; 59728126]; [73122679; 89924328]; [73910899; 22026021]; [88139736; 38763125]; [47402505; 67568737]; [24779682; 86841824]; [88260414; 2846060]; [47474768; 74715006]; [67425174; 37593106]; [12278699; 49610853]; [25398376; 78630350]; [34007856; 63745676]; [56849267; 79447866]; [19203352; 73259076]; [3428241; 26350990]; [33681768; 83178084]; [61388700; 26120852]; [71617005; 91584111]; [30773652; 83786140]; [14283148; 38753427]; [19242521; 89530624]; [79644117; 38366612]; [71079366; 24319957]; [82114874; 91956907]; [78110926; 3476297]; [43215464; 41218523]; [80911753; 67504658]; [13157007; 5442626]; [51892376; 33714420]; [87106310; 64076341]; [15901123; 26034660]; [94695003; 90439325]; [22957350; 34522049]; [8507829; 33986744]; [10537571; 73678935]; [93447115; 86710147]; [65455195; 83374418]; [18425122; 901188]; [33740489; 66358848]; [87117993; 32850425]; [40107463; 11326395]; [1690907; 27978337]; [87338754; 87746398]; [31611406; 15239003]; [84962674; 88421724]; [15538960; 62092630]; [43413360; 53505217]; [73643330; 93254406]; [32641857; 43556016]; [33227175; 93649303]; [85947354; 57409442]; [9825329; 23850140]; [94135439; 20462555]; [70153683; 39155079]; [22959480; 21649505]; [7928550; 53520916]; [32163500; 86284905]; [50091823; 70217448]; [32700377; 5550738]; [82536437; 81192720]; [38909304; 46857211]; [67877246; 85535096]; [19814855; 34408175]; [7378925; 28068090]; [74173486; 56264000]; [43022945; 82499312]; [7676593; 80816573]; [10197666; 42009516]; [5804241; 70775133]; [79323940; 66474784]; [6057620; 31091446]; [15746371; 60550850]; [71982871; 36814044]; [70852690; 69564060]; [21859; 94541750]; [42391692; 38905899]; [91556407; 23440845]; [23347391; 93248189]; [74146641; 1275365]; [94028003; 81243370]; [8212694; 72009220]; [61702092; 75666750]; [29418183; 17803316]; [71263620; 97713303]; [35497599; 33915597]; [77823858; 61712616]; [50165919; 62797887]; [16996344; 16722443]; [456299; 43417423]; [88681696; 23956517]; [81605257; 36149401]; [22437076; 87049231]; [84945902; 39126503]; [33884695; 41344549]; [1338544; 30776163]; [5326497; 30871287]; [82923263; 9918583]; [39145569; 22880510]; [46153847; 50806717]; [25858382; 1732071]; [36143931; 91301155]; [17770114; 17707625]; [86057896; 47085714]; [80178408; 27712152]; [53678049; 44736720]; [30889987; 39915909]; [9808985; 74809580]; [30841667; 52744701]; [20333072; 57786009]; [21116856; 94815588]; [49638663; 229550]; [14412819; 34827946]; [19427534; 54653860]; [31183375; 69798879]; [97921012; 29114812]; [69984626; 68892929]; [57683664; 13146749]; [15057281; 71005431]; [47187635; 96854025]; [5943930; 4055347]; [49339756; 92812958]; [87111599; 84242587]; [13897374; 6030481]; [4019262; 41940825]; [59650179; 38488240]; [46897003; 96002140]; [85736117; 56980088]; [1541745; 55372717]; [10698135; 78116144]; [55895686; 96657287]; [38615342; 87908606]; [60786130; 56080996]; [60795923; 69216461]; [63220247; 77791083]; [40430055; 26511100]; [75977724; 27313829]; [52359286; 74712078]; [15128713; 11802139]; [97649721; 62671377]; [52550926; 45242992]; [63181275; 92251860]; [76061817; 68429090]; [35588673; 41182508]; [71086535; 25006618]; [30023828; 28850047]; [71131361; 26485775]; [2991515; 8057677]; [84562987; 20774123]; [54289319; 51641771]; [66628379; 13134560]; [85947338; 45714562]; [36139223; 50685262]; [46943765; 12671173]; [84846114; 7194675]; [30777557; 32606063]; [58172407; 58694183]; [28289644; 70612232]; [23222463; 52235885]; [2089386; 3882034]; [40273996; 80598881]; [30665580; 84214824]; [93818049; 22096549]; [37449501; 32831253]; [68411326; 13292174]; [56424971; 64520810]; [17660641; 82847269]; [32835612; 43050785]; [77458106; 97252660]; [20729491; 87235403]; [6095363; 91628986]; [56909497; 75854295]; [16186383; 97567884]; [523619; 41675783]; [88442948; 68891868]; [73365575; 85779136]; [38830926; 13495691]; [63033169; 93803965]; [72052793; 60913843]; [22822793; 81268181]; [16881310; 78701963]; [26726247; 94081579]; [83262161; 72039881]; [88171362; 54484197]; [5102170; 40310801]; [93162056; 36310860]; [71868452; 25141320]; [217341; 43316499]; [56776785; 8406056]; [90011488; 69456866]; [12215516; 21683829]; [94034144; 25243060]; [77671846; 27526674]; [84081240; 39627233]; [42718156; 42430204]; [28560185; 38908731]; [32678454; 83449892]; [79005231; 26413329]; [54619087; 65157798]; [31112602; 29770631]; [89975627; 58046309]; [63659508; 6596082]; [83878953; 1206011]; [72851155; 78066681]; [64314260; 20422718]; [4068513; 26490581]; [52543413; 9946242]; [72968812; 23808391]; [93467956; 40543293]; [35346135; 30083118]; [61344275; 90516241]; [73702385; 25969555]; [44796055; 45494932]; [72123968; 63649439]; [2613110; 97220921]; [56299111; 76278863]; [33781894; 60613263]; [32106171; 30145420]; [7090620; 13843811]; [95964967; 79491774]; [65559277; 72485787]; [73201095; 16519257]; [56457960; 9768362]; [12583261; 14650403]; [78243467; 15974735]; [84278090; 55085343]; [921888; 55565988]; [77032556; 17102536]; [68436294; 43108310]; [1952251; 131876]; [76706444; 24876886]; [3348781; 79792271]; [34693490; 66267432]; [50148558; 12302660]; [68681232; 85998961]; [5240306; 75311371]; [39709327; 93652765]; [36012016; 17331796]; [44481493; 7486794]; [27137866; 18148124]; [99505636; 35342514]; [82446147; 70320772]; [20531377; 89365764]; [15452912; 81070208]; [22138532; 89089791]; [68476354; 46362722]; [24353285; 28806596]; [16387916; 7116869]; [58374005; 24377873]; [16203993; 40541649]; [9584140; 47469660]; [26313979; 20424335]; [29045863; 40509041]; [5660667; 58353120]; [7404214; 48529725]; [36631484; 66797668]; [91275203; 36993040]; [29782942; 5914248]; [37830841; 58964130]; [7749793; 97073101]; [1920498; 6946715]; [16811047; 10449924]; [28201876; 35483430]; [8875695; 6804388]; [84456997; 28974422]; [83514724; 86094361]; [41155638; 38561193]; [68917780; 43059810]; [99635004; 61906685]; [3354238; 95973386]; [38180035; 74977]; [68987613; 14042777]; [19918223; 17363209]; [59126016; 34838817]; [53669311; 80529978]; [61794948; 24954482]; [79664474; 88010004]; [80538683; 93579429]; [27352844; 5016303]; [58398036; 28089802]; [54058736; 29312555]; [63437598; 51447133]; [36694716; 18134012]; [28873888; 86230259]; [50042118; 59768565]; [23111391; 20447502]; [16236523; 31361507]; [15332555; 6544577]; [65980946; 26879708]; [72935923; 62766796]; [92873302; 82531131]; [90357385; 68438497]; [19276762; 68080466]; [82062608; 72360331]; [93543326; 29293750]; [59119661; 37505705]; [41881028; 60279380]; [39074630; 25074833]; [76692707; 16025561]; [18056820; 43845415]; [50832076; 768247]; [42227881; 41979426]; [60599493; 82036961]; [50655341; 90766527]; [38563571; 48780445]; [26702980; 93462606]; [80624874; 24251732]; [86380128; 58604978]; [2395213; 93008601]; [42975624; 39868000]; [88816847; 65409908]; [70841411; 48417678]; [44690273; 35900113]; [29700347; 59108261]; [75354902; 21341412]; [82373266; 37695968]; [34444069; 5233668]; [87412743; 60203921]; [25893534; 84844057]; [54278142; 72884231]; [41742840; 35346566]; [70847833; 91175449]; [62703172; 24563741]; [20999501; 34005456]; [7637354; 70147667]; [67568493; 70638919]; [2355612; 65264288]; [31894030; 26992913]; [81844272; 63383632]; [57712345; 32815902]; [4396830; 42688688]; [53791238; 26735780]; [82233948; 90906744]; [51688859; 25111856]; [71603692; 16999132]; [61320225; 5808198]; [51656059; 67460938]; [28414525; 31456752]; [93583302; 2205149]; [27282759; 43169753]; [38493602; 11814607]; [66725853; 58960426]; [43122549; 49312965]; [90068993; 83498397]; [31401580; 3632802]; [60142162; 98991135]; [22573925; 72896256]; [84165466; 98583783]; [64552269; 10273914]; [84579838; 86674218]; [29641280; 14708770]; [43938246; 79836270]; [16994733; 80150479]; [43113467; 85842082]; [4766285; 57514450]; [55507764; 15390690]; [56132012; 91559189]; [38149330; 14292405]; [88438150; 65905754]; [17967674; 76782172]; [68729230; 88389374]; [77257136; 89580791]; [86422138; 37777032]; [15818976; 84169523]; [63425287; 21041349]; [57017807; 23663850]; [69630354; 2981835]; [47336067; 60716646]; [4386572; 59904527]; [56432311; 78736046]; [54429676; 12699910]; [83915723; 5699172]; [21001011; 81873999]; [46292498; 80966481]; [73695350; 60182785]; [74888646; 50266062]; [14891083; 29189420]; [88658212; 9719521]; [58826106; 13281219]; [70851379; 9891283]; [80935857; 95794468]; [80522605; 71451877]; [63302306; 27557088]; [98546033; 17743065]; [18773709; 68310597]; [83453380; 41414782]; [8666142; 85386246]; [35502132; 59635544]; [23453095; 41519440]; [52509040; 87780294]; [10268562; 17120903]; [645675; 28553124]; [13069254; 49713115]; [46709385; 78278679]; [31245850; 50149837]; [46954215; 61491469]; [52596156; 97281027]; [74551502; 51963825]; [51147108; 35871636]; [46652884; 59344764]; [71710824; 87519702]; [64568893; 93244105]; [14657893; 97664633]; [50257699; 66034223]; [45754301; 16263925]; [24579303; 15309722]; [94060769; 72372950]; [87070038; 11999560]; [42606186; 90498317]; [89120998; 76217943]; [10106874; 86988582]; [71056231; 30974372]; [59111137; 63258096]; [52929328; 5681342]; [62906331; 92397722]; [1107613; 80538952]; [89284798; 88736113]; [46719097; 52203037]; [47166112; 21137469]; [21406067; 13950173]; [54218523; 14690715]; [39300524; 44820527]; [78967599; 29498451]; [44658358; 26607364]; [3667471; 24206011]; [36744477; 93578945]; [75487783; 37830423]; [80425329; 16394482]; [4181272; 1565246]; [22479288; 30311848]; [54048224; 92559555]; [8390086; 62109787]; [56116074; 92146072]; [84457942; 73088378]; [20778215; 78613271]; [44570332; 41316676]; [42322380; 90900363]; [82942548; 58160800]; [66755017; 9794300]; [26453708; 85920185]; [29834145; 83791238]; [24377651; 61437816]; [38009154; 95533254]; [31264964; 23153401]; [58629547; 63696566]; [32819534; 45402628]; [15507291; 66560326]; [27529558; 41457017]; [75309824; 43939758]; [85290490; 27947415]; [214945; 48490317]; [31603563; 18606313]; [85540308; 55690652]; [43002553; 69213366]; [18721517; 26345044]; [80724908; 10867569]; [17492050; 76360125]; [13804818; 4859200]; [71865961; 44744234]; [73227908; 47524100]; [83131056; 11419999]; [39402210; 74495930]; [99858104; 84715650]; [79158327; 51925510]; [94816148; 89777092]; [84712225; 3942788]; [28396361; 6420152]; [53555592; 44278197]; [36727847; 3673209]; [35985753; 1881793]; [7350603; 45088869]; [3935197; 9751598]; [1668544; 23090080]; [53939510; 35649086]; [44425958; 11564220]; [64386232; 81562856]; [46145609; 21055712]; [80554245; 25023378]; [27099643; 88692606]; [70442035; 65222282]; [51745846; 73534338]; [16442921; 96695392]; [96794853; 80234741]; [21246882; 55311757]; [40728350; 41888582]; [55645504; 63048671]; [99657313; 72928737]; [92800106; 77633837]; [23757554; 91842118]; [22693767; 46986682]; [53984857; 41394782]; [38780421; 25144657]; [61250029; 31137434]; [8044283; 14532710]; [79921669; 47368734]; [46892210; 41705498]; [47684670; 81921849]; [57118585; 36116306]; [28513505; 36713529]; [93966781; 85240815]; [99611644; 47568811]; [59429616; 27152175]; [67223717; 11146662]; [75716497; 69502428]; [57927503; 42605440]; [28923891; 37104267]; [47206191; 16297303]; [95359661; 34893147]; [69190809; 30151083]; [77693916; 53596919]; [29386031; 34022084]; [69027053; 52340450]; [84476413; 38719850]; [15019509; 49928837]; [58394819; 60940298]; [74335990; 8563432]; [57014524; 59851424]; [42893848; 4316381]; [35459445; 50514325]; [38427681; 5207626]; [81778038; 57562148]; [10988014; 19984016]; [9903406; 58578852]; [56728143; 3778711]; [77075809; 67919209]; [13752854; 84946642]; [67701524; 50541058]; [27624235; 93226021]; [88035694; 76097274]; [15316815; 15585602]; [83699643; 81145711]; [11249379; 99585057]; [33604583; 63046864]; [56287653; 56019626]; [15164892; 66985782]; [48768254; 22844378]; [2307856; 26030978]; [53266345; 53798201]; [49939817; 58334780]; [18795575; 55250480]; [8136938; 65751255]; [89291731; 5298164]; [54655850; 7443803]; [12049476; 7372275]; [49407832; 15940098]; [23563304; 16955417]; [15193011; 66394084]; [33719299; 98983088]; [56290257; 18735635]; [35239795; 13897166]; [7982108; 57568868]; [98175236; 1084792]; [58481654; 75535904]; [59741580; 38193494]; [47431374; 63872978]; [38753016; 91037860]; [71812109; 49341230]; [40396768; 24316702]; [75608420; 15606175]; [98228851; 39755480]; [63047168; 1149673]; [59863260; 69656522]; [92486516; 18378135]; [63360868; 1394487]; [72144914; 75376069]; [34171403; 13841971]; [20945399; 1503300]; [68712136; 2153364]; [69687771; 69198548]; [32913267; 45208447]; [58859130; 70263431]; [3433895; 18170649]; [16190668; 64589592]; [15026071; 13932578]; [72986853; 21102849]; [19597756; 18472709]; [46752679; 72464830]; [97394349; 78145276]; [40850957; 47066041]; [38637961; 61295704]; [66979333; 7500917]; [91116172; 78999253]; [68704943; 33548293]; [12959544; 81738938]; [65008356; 80290934]; [57104031; 47467209]; [58686155; 81388424]; [68139213; 57616457]; [8714683; 28664292]; [57249915; 29320782]; [55820783; 37920412]; [31686076; 11504633]; [93746447; 64550730]; [59170956; 52156991]; [42789328; 15392114]; [90779205; 19885325]; [642788; 57846139]; [18532337; 35293860]; [24213036; 70036238]; [77977531; 48602577]; [66553276; 38763782]; [94928807; 13852037]; [18779529; 75455767]; [25768071; 45319352]; [53384036; 81696082]; [88580572; 22582574]; [15617552; 99223150]; [80913396; 70545803]; [43916207; 50204707]; [57994790; 27677158]; [67946322; 10286574]; [21960043; 15558530]; [64662247; 92097466]; [19898805; 55409131]; [51503775; 95092330]; [97827693; 90564602]; [68334044; 90374728]; [70492789; 54052208]; [64424598; 95368287]; [15909800; 24828646]; [19527656; 35697355]; [3218068; 65679697]; [55833600; 14957376]; [51769770; 59937795]; [93215456; 36900866]; [76285247; 37987719]; [61852159; 84128343]; [56264288; 60153678]; [69696108; 64550975]; [15328549; 65909707]; [42177895; 57275231]; [35071514; 38332293]; [36661726; 46252586]; [12937872; 21962942]; [80165326; 99335460]; [91550102; 11601174]; [27679985; 59845398]; [50939830; 72874377]; [26638237; 12626275]; [3908520; 33523287]; [83628198; 89165976]; [34682288; 63479346]; [76328064; 2423015]; [49602700; 71814975]; [73256154; 90658970]; [50139902; 57198782]; [79747344; 78653787]; [66277364; 46840506]; [96994841; 20287164]; [24552685; 23244722]; [39402156; 95420263]; [24023902; 76193887]; [91588237; 23147631]; [4584595; 62223145]; [64119006; 50543269]; [77718060; 28113653]; [15994298; 52902734]; [73947076; 13725445]; [96294381; 34190810]; [48538277; 46737189]; [81172621; 76131890]; [3706409; 14477769]; [18033594; 8209212]; [15070306; 57461677]; [88867242; 84298598]; [8759816; 13836531]; [76922334; 82677451]; [69708687; 98216245]; [86750474; 56888271]; [42459945; 93575387]; [80276963; 91104111]; [5019110; 68358099]; [38605087; 56473201]; [72502469; 69318685]; [14592466; 81676373]; [61385741; 58030210]; [73665731; 92553372]; [6632810; 91488046]; [29646912; 20425847]; [43986889; 54084629]; [66201092; 18198125]; [47318768; 80736166]; [9609645; 52221153]; [31681737; 90933634]; [16665381; 85928984]; [87134173; 21791597]; [24362586; 19254886]; [66567526; 26313653]; [62520746; 96118055]; [79882395; 75803202]; [32387670; 38432348]; [95174141; 71693937]; [75263638; 57415135]; [92316618; 75448664]; [82071932; 85576240]; [29201328; 22014230]; [44719535; 18624605]; [75349635; 57012076]; [88747885; 11486661]; [17429186; 23119588]; [83165555; 39645585]; [47430123; 63831167]; [16255605; 64188376]; [74406665; 58408122]; [72240075; 33105486]; [8885201; 76624937]; [79182321; 98748697]; [41519464; 59913883]; [32970286; 70907202]; [60192203; 2045216]; [58560140; 9171856]; [12493840; 45923693]; [3382706; 31104703]; [7225586; 88592870]; [48853517; 83100395]; [1291311; 73877465]; [16929233; 69419403]; [14133648; 62542318]; [19175695; 12542047]; [75311687; 82637284]; [69535852; 18925858]; [87487734; 62301834]; [92061451; 16164223]; [59254764; 45731849]; [99901569; 67640068]; [12040591; 69393991]; [44906414; 44291954]; [30658155; 81985261]; [73106629; 57994731]; [7870725; 4368440]; [97409089; 67967031]; [97738235; 64230776]; [24943091; 73326646]; [75510733; 8799066]; [4577005; 98183318]; [6750049; 12068614]; [10089692; 74260893]; [91839591; 63793437]; [48760022; 38409561]; [79738250; 78758748]; [58221678; 71202335]; [8043046; 76177651]; [64408459; 84067055]; [69454751; 45410078]; [31850875; 87366641]; [95102517; 74603458]; [40727096; 77449021]; [93494292; 66150351]; [2867004; 42759414]; [71367845; 17599382]; [68104107; 66164573]; [63165665; 17204685]; [71942151; 45931388]; [65299113; 99070934]; [72553371; 59475431]; [81620238; 46426537]; [66857931; 1685801]; [27104589; 98678001]; [70821096; 76049622]; [30917295; 65195781]; [9230291; 85607398]; [12721515; 77958588]; [36589587; 43674662]; [35462929; 11122203]; [81983108; 96757221]; [2541545; 88425585]; [78310592; 66859486]; [53543589; 73609080]; [21671681; 69930007]; [40600104; 47376304]; [93803291; 54614610]; [97155151; 30119478]; [63616796; 3689791]; [96246304; 82941378]; [59505896; 37058070]; [56666665; 10491269]; [40291918; 15598325]; [49498765; 61871088]; [31090124; 99166856]; [83605551; 95979052]; [98077256; 74759852]; [74624530; 94396288]; [58931497; 53135467]; [90265780; 66177751]; [93875832; 72387041]; [98543793; 77579157]; [36968245; 39922183]; [33960473; 14718874]; [13399350; 24034680]; [2639607; 27037985]; [3510755; 13493449]; [11524788; 92391293]; [53013854; 16759602]; [27594311; 11243791]; [29146100; 72709950]; [94364968; 90867314]; [98711933; 8480544]; [47553008; 90577255]; [29216866; 15062813]; [38423662; 5646277]; [95666014; 55030402]; [59190895; 79742380]; [49541794; 3031859]; [30333510; 56233000]; [78112696; 56325847]; [89753812; 94386430]; [62768841; 4010239]; [22414734; 99881232]; [92068920; 74805214]; [41576757; 22049014]; [40376441; 34855377]; [24376207; 52260198]; [43904068; 22221513]; [73737602; 36469402]; [85280462; 37876890]; [98381151; 34050640]; [52510572; 91872596]; [68142639; 48331508]; [63389434; 19390183]; [13715582; 13536165]; [15228799; 45966300]; [14352781; 78609119]; [50496461; 63933725]; [75278254; 92694795]; [3587208; 57331667]; [66034053; 31346093]; [77237419; 12117460]; [57140580; 63646622]; [7764193; 57497373]; [69330483; 33124354]; [78012664; 41561010]; [91520215; 33060675]; [9902538; 43010128]; [24746496; 9407089]; [95274314; 24162216]; [14171675; 70103627]; [63854568; 64390986]; [70742285; 65815039]; [9905028; 49461999]; [76468481; 22081925]; [71580777; 5567424]; [85904722; 18975938]; [14251257; 70876860]; [35934273; 72943776]; [28429166; 74727122]; [74828347; 5518496]; [99798109; 12381048]; [97180042; 11475857]; [10514239; 78078446]; [97398349; 51317922]; [92300141; 85284563]; [33388275; 72838457]; [1533685; 88616246]; [3676174; 74429334]; [69832293; 65923585]; [72910927; 84074598]; [96483895; 13572088]; [3362842; 85182553]; [61303166; 25948428]; [40844439; 41495490]; [24512795; 15435234]; [18350738; 3776433]; [75224988; 18247772]; [75662565; 61213765]; [8121133; 41381159]; [56489319; 35758991]; [37412108; 14421406]; [29475222; 83038018]; [95384247; 27135261]; [42338348; 43931405]; [92663112; 89655550]; [55855995; 86430651]; [2627884; 98266470]; [61476610; 20567140]; [81277895; 14359680]; [73657217; 97396211]; [64407124; 88463108]; [20441542; 86055259]; [86106837; 49239333]; [20080321; 92446629]; [43276469; 6618260]; [40631831; 15415342]; [68583535; 10570046]; [93983827; 83189000]; [92728243; 33596493]; [4075498; 68369446]; [30437945; 55034354]; [7484158; 98101091]; [89524177; 5511601]; [55184665; 68676208]; [74238646; 80906615]; [65179486; 94429735]; [72793336; 80720837]; [86158838; 96907795]; [23682916; 94456254]; [831723; 57730469]; [84341552; 32108250]; [31935368; 32289758]; [81529689; 39426867]; [93411950; 76793408]; [20993067; 95341972]; [39452681; 58807541]; [35682295; 89314162]; [80052188; 90764608]; [31336864; 3979569]; [77991585; 59959349]; [82687887; 43152165]; [65864755; 28218671]; [76492473; 49419318]; [30847437; 66987020]; [96748853; 74525111]; [24636963; 27454852]; [75061128; 80445686]; [58234210; 93897980]; [30602562; 70952360]; [92322979; 18051525]; [13411053; 80784557]; [69137947; 24299674]; [99274858; 37094813]; [82880721; 6689121]; [10389049; 46513166]; [29479258; 61966246]; [43506498; 76343033]; [16978090; 75275194]; [76438044; 11823339]; [45365991; 92291896]; [92691727; 76388321]; [25842013; 12150166]; [68116944; 99372072]; [71711586; 76591695]; [82133931; 1230131]; [39767001; 46313381]; [93701591; 90754387]; [98289302; 23997387]; [28773355; 41736790]; [38815015; 48786388]; [43732595; 85580821]; [39975599; 68107668]; [76431007; 61900975]; [21848434; 34269228]; [31386270; 8318208]; [48140446; 25240210]; [62685447; 37660142]; [69868161; 97656389]; [33304306; 49999726]; [759162; 88497112]; [8980129; 10214042]; [3734120; 66640943]; [19989366; 73690959]; [44601975; 7247619]; [11334676; 97272792]; [95561104; 34097841]; [32473729; 69274004]; [16264001; 26073412]; [44459632; 84864479]; [4787612; 99370291]; [72225728; 52242695]; [27694048; 25623604]; [18456920; 71366181]; [27600788; 73851717]; [83513393; 73767537]; [55583836; 24814723]; [41899902; 47740795]; [6592658; 27713219]; [19639325; 21222125]; [68041300; 38026181]; [85378406; 99642921]; [95737474; 50358715]; [45082274; 93461196]; [52196973; 50480570]; [86591780; 91888031]; [87683772; 52256224]; [1583233; 12987359]; [7402218; 89252218]; [37480616; 6296499]; [35032365; 27763866]; [31997187; 57854377]; [73476195; 14533061]; [57176566; 8791800]; [119374; 44495001]; [58812189; 99303767]; [40429043; 4329833]; [32431633; 73414992]; [58773409; 49703497]; [13604865; 83054719]; [82987691; 87531870]; [44402212; 22769544]; [68553583; 42667608]; [29674839; 98997216]; [85119248; 40888515]; [96703313; 64693693]; [93330856; 14315984]; [67560047; 5868939]; [99496263; 66056314]; [46909164; 29478728]; [90511428; 33836170]; [78166346; 28755346]; [4613278; 13863048]; [62400956; 98663966]; [28914513; 40215307]; [35750493; 93084672]; [91470210; 4195028]; [83766437; 88929711]; [71998766; 68999095]; [48994825; 35346779]; [38877492; 60208124]; [36669398; 60512510]; [59483761; 48533896]; [7650009; 83085759]; [54944687; 46143694]; [54987666; 35726555]; [69871134; 21903414]; [84695472; 91562945]; [17254232; 31410792]; [25951253; 42337178]; [72801702; 88291251]; [40629072; 70995945]; [35619079; 94043287]; [86841825; 80398078]; [4937117; 44729195]; [43733673; 73950649]; [14641961; 34985465]; [54252625; 93863916]; [63900915; 79301854]; [52275826; 52775853]; [29610451; 37760944]; [63609991; 42620113]; [8547726; 45191754]; [95302426; 49391105]; [88906804; 73255718]; [98426649; 27049388]; [96528494; 89145342]; [16891441; 70250099]; [67357407; 42438663]; [81661109; 98850319]; [84089689; 83449208]; [31669684; 43226343]; [31707753; 59087875]; [76496156; 34147460]; [63084727; 54629282]; [62582731; 97321551]; [55874074; 66211196]; [22260820; 51801742]; [54780574; 19529462]; [4019539; 71426748]; [84198110; 45824240]; [65457338; 67962087]; [21030988; 47861423]; [32134294; 72665825]; [71614787; 83690110]; [21339100; 39184003]; [94506940; 77218104]; [56433163; 16467012]; [17080264; 2823785]; [89460153; 43453012]; [29809832; 31791142]; [87321697; 64763207]; [71233151; 3352622]; [87157140; 10476447]; [49264505; 4238353]; [37974967; 56076483]; [80746394; 64277755]; [83815542; 61668787]; [62477057; 36066570]; [44714443; 64453083]; [29225570; 54847650]; [9820127; 67487447]; [99103730; 72330000]; [23164667; 60609726]; [81821011; 69194835]; [98331889; 37488966]; [20649792; 47273476]; [49908661; 13413159]; [23503367; 70981686]; [50933415; 52427058]; [81693083; 14106891]; [25916083; 72342606]; [31916568; 68322452]; [51001870; 32093088]; [87921878; 78455943]; [11131872; 6779355]; [71143997; 96073233]; [92582595; 84058102]; [64619746; 36487401]; [46231141; 81045779]; [81321427; 93833588]; [20809148; 65804476]; [31279278; 58425192]; [46718533; 53990933]; [80119533; 99297114]; [18274247; 63360499]; [63197746; 78696326]; [61501685; 6913087]; [13116876; 66875903]; [48293597; 16246448]; [68088962; 59949863]; [22625553; 93131662]; [64360346; 39307374]; [50702387; 10908071]; [83514537; 3326045]; [26062880; 11437725]; [45845522; 2724651]; [96203732; 56628791]; [23865376; 61742598]; [1887295; 25393104]; [8159801; 91343736]; [58005804; 70751653]; [70942066; 54859930]; [75261040; 93297944]; [73310484; 15688074]; [29650207; 50874405]; [54467400; 96112823]; [86302737; 6831243]; [80202765; 59086472]; [57330563; 67471531]; [1910078; 9253213]; [19920616; 66231714]; [35564885; 71872129]; [22308968; 601090]; [39726603; 8983680]; [6392155; 36418010]; [87462726; 59430704]; [47896443; 29796761]; [70608585; 5827883]; [17103980; 14214466]; [38773773; 10828475]; [58099191; 66587330]; [27930333; 48904480]; [82071964; 41560862]; [86541410; 57576235]; [45278275; 67139085]; [65687403; 5169196]; [51378378; 12386860]; [6131954; 87153293]; [23207943; 88743024]; [49591412; 74208106]; [71146530; 48284097]; [34891123; 12895511]; [23908070; 90121220]; [87932791; 78086201]; [95421760; 16841078]; [65540832; 39114199]; [14546421; 43907900]; [2806811; 55915215]; [92188114; 29996957]; [6283858; 49174018]; [69259327; 98074994]; [84658886; 32536555]; [99220814; 61732851]; [81449763; 46817564]; [69162729; 71873394]; [42178389; 73123330]; [78790689; 16633726]; [34919639; 15726086]; [16492990; 89563527]; [4072833; 67159555]; [56665924; 18365919]; [12357419; 8535163]; [65389319; 73085381]; [38982654; 87981772]; [31464433; 97937461]; [40092545; 1385221]; [14245027; 34975019]; [58528517; 53522938]; [69861630; 32892920]; [13524617; 47028965]; [84068328; 85718908]; [18754088; 73778325]; [67206014; 11864846]; [61314095; 22076201]; [5096408; 41328946]; [76403319; 8720954]; [48090929; 32285343]; [30958429; 86577997]; [58472700; 3257825]; [84698406; 67806670]; [60420771; 86707045]; [19112835; 44184925]; [74391353; 7807532]; [13242783; 73390892]; [64398492; 6697890]; [95695614; 76275976]; [45453342; 31080189]; [94992698; 34677179]; [10579492; 7054662]; [30120538; 55461391]; [47710843; 65462621]; [18781460; 20715192]; [79523412; 49738078]; [80750757; 73168213]; [12643663; 97431256]; [754860; 46531174]; [77359635; 30953773]; [99589951; 73560907]; [19329367; 37568211]; [28874655; 94639296]; [28449794; 74481811]; [46477128; 75231880]; [5959846; 61956382]; [22802555; 35135486]; [21127911; 49196619]; [37328425; 50194705]; [23603939; 65424452]; [50780760; 26067057]; [20127430; 97809350]; [698231; 54151965]; [54540031; 60770147]; [32982204; 25819981]; [58855288; 68929508]; [74664190; 33178064]; [73225594; 9689949]; [82474730; 84757116]; [3397822; 4680292]; [90099680; 55967717]; [47308127; 66466899]; [76250443; 21617111]; [2528139; 91471326]; [27859501; 65580665]; [75313249; 87209113]; [6558540; 44822197]; [15847951; 67238190]; [64190752; 72364130]; [17224331; 33640448]; [69889602; 52620195]; [67362967; 85919385]; [36914684; 59374085]; [25757337; 48720419]; [4740338; 64357097]; [38736525; 29692488]; [10322232; 74777787]; [40227344; 44774433]; [94493523; 92248827]; [68771551; 98502511]; [87674307; 60264759]; [12623416; 98170905]; [49165988; 22266496]; [49846959; 22220166]; [46842968; 30077564]; [15770910; 85280853]; [99628339; 29697617]; [31718898; 38055811]; [4066493; 26824704]; [79222593; 86787593]; [64014148; 87374431]; [44388447; 47696521]; [82039486; 64615906]; [4348457; 54992242]; [28782553; 24744663]; [43949810; 41360865]; [42506599; 77379455]; [21454802; 92435425]; [49468811; 22726110]; [84048220; 81379802]; [23638300; 18877052]; [61315621; 13621159]; [27700522; 62516175]; [8984962; 50090346]; [96605707; 36908315]; [67904786; 35652661]; [65346949; 19852115]; [86525024; 17873206]; [91443986; 28690629]; [46399148; 92539534]; [67347521; 8874260]; [40538515; 14999389]; [36774572; 3013440]; [62277151; 81177431]; [84425078; 89191114]; [14305626; 75135556]; [16933122; 72353407]; [38655350; 41080305]; [38882961; 93744387]; [51951436; 13550210]; [4135946; 87064600]; [66018664; 8860040]; [98639629; 95892493]; [19661567; 28518999]; [14840328; 68893188]; [18345160; 42662560]; [5162788; 88395334]; [30673635; 49769022]; [53913047; 83544753]; [25495869; 13462072]; [85593330; 72242241]; [86997357; 99280736]; [82519646; 96240240]; [57580420; 16297280]; [69005675; 37736605]; [8137497; 90733597]; [76568505; 96171155]; [96800460; 74315381]; [99259816; 44396588]; [19669829; 22746950]; [70672340; 73348187]; [8715407; 92098532]; [99086158; 26523792]; [15823632; 96850918]; [31805022; 20183856]; [19998346; 4645940]; [85455661; 10476864]; [2715142; 68491765]; [86949512; 96451228]; [66977014; 23573528]; [93320565; 17753815]; [4138483; 2542150]; [71783177; 14384509]; [33169671; 24995708]; [7212649; 6819263]; [6276980; 96494381]; [35552505; 60893569]; [33112639; 85957959]; [19376414; 32792505]; [26936616; 81115135]; [90072775; 69611791]; [75256115; 35615418]; [65651994; 11526785]; [65751045; 96664946]; [64275778; 88936923]; [42984915; 88011423]; [61068279; 94786007]; [32983665; 16340610]; [99076390; 9835526]; [65589811; 96783054]; [77843859; 79798981]; [9199820; 93916175]; [52241908; 84355047]; [12497684; 18212276]; [80927237; 38075687]; [45465832; 79665317]; [80860805; 18815466]; [24506668; 85622236]; [68136701; 9514657]; [15196892; 53899353]; [10489314; 75833209]; [21721126; 13418363]; [6487747; 32071853]; [60623835; 98642049]; [95552952; 49870169]; [92554026; 56706788]; [63437164; 90959494]; [54648312; 86376168]; [12855253; 43577025]; [53586236; 46388218]; [18923842; 43639113]; [92483843; 17171665]; [1493063; 54030960]; [67773738; 94300844]; [61200801; 93742117]; [34835702; 70836036]; [28918695; 87859938]; [939242; 8429202]; [44471172; 66851410]; [68044384; 63934684]; [36299962; 45326512]; [31473560; 25794849]; [76895152; 44925523]; [87320848; 21498680]; [68777712; 55185939]; [36905603; 3204921]; [20923050; 19974326]; [7896590; 8534947]; [49140539; 26744061]; [67545606; 15723699]; [76173716; 48071104]; [71107525; 73298052]; [10752979; 12001211]; [64062366; 98906014]; [95217739; 96043348]; [12840190; 89726623]; [92108712; 79841955]; [4239159; 74946691]; [214010; 51519281]; [96451512; 95111448]; [30428525; 61267278]; [32274452; 28735160]; [61330679; 19517686]; [33442152; 90970750]; [52823663; 78574530]; [2421398; 1202516]; [79864988; 88546481]; [69417311; 31437630]; [41138717; 91697975]; [94996987; 22871597]; [60435683; 93017005]; [91659747; 46361141]; [93795991; 95118785]; [5874725; 74960324]; [96793434; 94623928]; [72523581; 83104185]; [39823951; 2455341]; [60483691; 19766832]; [78694822; 67125537]; [83539442; 44264480]; [15080574; 27649750]; [75887100; 55039044]; [96813896; 98705959]; [28594014; 11607381]; [6738705; 7842101]; [34964614; 97820949]; [7788461; 35696032]; [44152272; 22848100]; [82640127; 72593755]; [72761792; 58352316]; [14922221; 52635375]; [23536474; 34244015]; [2342900; 23316571]; [53057245; 40421908]; [14267413; 27317071]; [89664361; 69222738]; [83361659; 67410328]; [16905856; 5948387]; [16460699; 43637914]; [38935849; 26914007]; [23561605; 51222953]; [45963959; 46309263]; [84561394; 58432141]; [15888921; 3076461]; [55042128; 24487799]; [97446660; 21269642]; [12305563; 80981315]; [85772368; 32601336]; [54725768; 29530319]; [37595109; 76912795]; [96345836; 66495830]; [44263523; 39562028]; [54275490; 66764916]; [28093764; 96280267]; [82212338; 94878275]; [78609289; 59157395]; [79237367; 67111510]; [79443215; 5035590]; [90214471; 68054888]; [90311690; 96432942]; [76059903; 79610079]; [44190840; 11432316]; [16605425; 21647962]; [49705939; 77495095]; [36294411; 19544862]; [60961900; 72604650]; [34967767; 172543]; [96315592; 86344028]; [94221264; 12239154]; [46381081; 70263620]; [2823060; 74493782]; [67570541; 14580590]; [93988511; 38456175]; [32352017; 37512149]; [80815596; 55208353]; [71148781; 63798392]; [13269103; 49357042]; [8892361; 34557998]; [8745784; 63370095]; [44232017; 18333611]; [16927627; 52403473]; [59335491; 12918868]; [5320915; 79736626]; [66700558; 64539305]; [53418003; 33966956]; [25655408; 93450742]; [47242872; 82736565]; [64260866; 17665761]; [43581753; 11816939]; [79149829; 86419372]; [19373053; 89359319]; [16855112; 17109676]; [10099662; 45165084]; [12322079; 78330024]; [15942653; 7990657]; [99872617; 42463573]; [56831749; 66355460]; [20055180; 22723392]; [75563182; 36762177]; [22393929; 30014186]; [10750215; 1042583]; [35368823; 25977655]; [38883380; 48181247]; [55436578; 723521]; [89065763; 9617892]; [97014660; 52972633]; [49108053; 64346007]; [60636349; 35303380]; [62500895; 53223713]; [43000317; 6691329]; [54859559; 24673148]; [90858686; 74771055]; [74902070; 10061382]; [59241027; 22968978]; [16018424; 91427560]; [63550805; 91955834]; [85205238; 50221680]; [26764767; 58939892]; [57437901; 63631680]; [74976637; 68518764]; [4467543; 75809264]; [79121591; 86389666]; [42755088; 62742483]; [88740927; 21635225]; [14532050; 86180836]; [52271417; 75440001]; [75577747; 92037459]; [92118937; 49081951]; [96628892; 21701743]; [80604052; 30600546]; [88489012; 91663611]; [22430537; 21377758]; [69680473; 44611475]; [35418141; 24683093]; [99298998; 81622044]; [77813459; 15034441]; [89466983; 2859405]; [74266372; 17088386]; [40917403; 71779654]; [316913; 33422628]; [83941190; 99421047]; [47197252; 91217238]; [30341202; 9057743]; [25070596; 45078519]; [59446725; 17896969]; [85282227; 31136498]; [71005770; 66806152]; [97364533; 99982986]; [57271309; 90399589]; [64543203; 65458579]; [53250163; 29236516]; [23721811; 53921907]; [76418918; 35089375]; [99930157; 36563740]; [70524922; 86531650]; [68839378; 41978308]; [52824333; 78728797]; [69721581; 67259440]; [11544841; 27963533]; [64828623; 77536743]; [59564908; 15766066]; [54416515; 80059935]; [97421650; 94336467]; [55289966; 72144713]; [9196642; 96668588]; [93358746; 27290275]; [48554119; 3126792]; [66565358; 46156886]; [74260245; 79480866]; [13558955; 82344445]; [76488436; 12682542]; [46607098; 66724709]; [87714733; 59288316]; [59055785; 21274562]; [57810202; 13771385]; [5667740; 8502850]; [83173819; 5814758]; [20444643; 56345299]; [55557756; 75054125]; [38266764; 56256373]; [17653557; 17880864]; [14178435; 28495331]; [75575460; 95081508]; [68160045; 85895522]; [43371251; 96990306]; [57354465; 61721945]; [65700654; 61888794]; [41563012; 69778189]; [79552094; 22965194]; [79361563; 90160817]; [65447257; 69057138]; [37647680; 69541876]; [57218722; 65190300]; [84485015; 21555772]; [12281126; 2660485]; [56013848; 4066134]; [81250384; 17917583]; [26569320; 66676531]; [12215232; 39366430]; [20853683; 61171406]; [77121073; 37131480]; [96853440; 54381737]; [97260428; 56623595]; [91257162; 97478557]; [34029645; 93483583]; [9307334; 14095737]; [85892661; 95090659]; [39439035; 65965110]; [91139080; 97757050]; [5548423; 35689889]; [7174602; 15249469]; [56454217; 51964318]; [50546364; 86968281]; [51376828; 87611486]; [21403980; 34844072]; [52297099; 4121994]; [9132191; 59003719]; [57783612; 86223534]; [96521798; 51174392]; [90915405; 72760650]; [78456108; 96128359]; [12994374; 27433313]; [44810407; 82822740]; [91289416; 5726876]; [4272222; 63936601]; [20725236; 79582961]; [27381797; 63350174]; [45763174; 28048833]; [5407455; 21149126]; [75402336; 76334008]; [95304332; 55935939]; [54270412; 2298698]; [15367043; 94416385]; [40573901; 57653904]; [38039087; 57543553]; [15054459; 66782861]; [93373073; 86988312]; [94634277; 38041343]; [21894557; 1528441]; [51925169; 74971343]; [33595141; 60787562]; [50069611; 59381837]; [15310374; 94917763]; [40337488; 21377921]; [39991783; 97118964]; [84059311; 76007077]; [74511353; 79699683]; [66858458; 25962851]; [59207208; 75186845]; [23037033; 44017714]; [78097180; 95891827]; [9685648; 81104649]; [59964668; 44343602]; [28411253; 62774906]; [94626685; 8795518]; [25131760; 89911833]; [39841963; 72277770]; [15262756; 41167644]; [15077757; 32996565]; [59554422; 96392026]; [73303066; 41284507]; [74765654; 96762017]; [22794824; 29749288]; [94534042; 98216297]; [86679361; 79425980]; [13437349; 73748837]; [38305115; 97552748]; [76206637; 49875122]; [59065469; 68314320]; [9118931; 62371289]; [10580414; 78363795]; [88214589; 85302057]; [17712417; 24883925]; [39957789; 32972037]; [79279211; 33378953]; [80036084; 33011738]; [22524896; 94601287]; [2271482; 88481631]; [77202966; 54377344]; [76976176; 35375867]; [95942670; 16665066]; [73303251; 30870038]; [14892531; 96999196]; [20540816; 76807853]; [19432148; 91775786]; [49784875; 15048085]; [29071657; 81780660]; [16414121; 7180603]; [85521344; 81964629]; [43193530; 12236382]; [79535106; 58884032]; [71977666; 34624146]; [32950425; 2459379]; [11902049; 148835]; [8692903; 27666964]; [65349465; 91933952]; [38539210; 42698144]; [69598959; 40727908]; [74981996; 96503392]; [77941557; 74002879]; [31937127; 14742978]; [99880580; 25424248]; [7504947; 4489474]; [67352158; 85499275]; [88797930; 29013839]; [12220343; 79880078]; [18522472; 3016902]; [94040269; 71759629]; [29931020; 52494546]; [57319407; 34839497]; [14791353; 7199638]; [70453153; 59319492]; [50845472; 449496]; [8002419; 90808643]; [58646895; 75564798]; [41403288; 8772264]; [71636206; 65263049]; [45272414; 80026308]; [62786555; 3579255]; [78088366; 19005171]; [80956159; 27636085]; [45918842; 66832843]; [50011046; 22963308]; [53091102; 34029328]; [48001500; 35296573]; [1767821; 90496546]; [4368048; 87374315]; [79620446; 69100049]; [76921400; 93491184]; [36383634; 16020520]; [49209330; 74446875]; [29024211; 19264144]; [13016074; 62495875]; [55701673; 11666544]; [53513510; 54674697]; [23844949; 75278770]; [2726649; 9282207]; [41924608; 71554846]; [72310438; 12133701]; [60740889; 28095387]; [57441439; 81191949]; [87750256; 80086989]; [1319818; 51262245]; [49894022; 41099781]; [10073331; 19942946]; [25804441; 9477585]; [54819200; 24102552]; [66130061; 40901178]; [65536497; 61371921]; [32261523; 21682296]; [16992502; 84767074]; [92756874; 64652389]; [64662391; 81822]; [71735359; 14725361]; [91068416; 3807312]; [81902487; 44404949]; [99457272; 34453945]; [67267636; 62039252]; [42759610; 28910657]; [1465677; 2496215]; [365546; 35580326]; [44742700; 69048648]; [48257462; 8674570]; [22742323; 79983221]; [49087365; 37084952]; [20513598; 88217236]; [40308783; 87944509]; [85050566; 877534]; [5236342; 2174441]; [38977153; 61744154]; [66269203; 69179472]; [22600482; 95817626]; [84717965; 71231013]; [66021183; 91072525]; [33956569; 24670093]; [36250520; 78502591]; [1530028; 35059441]; [75384355; 80996922]; [3146023; 57613855]; [78320300; 54467568]; [33802484; 83060668]; [25496032; 99597166]; [7583038; 42719138]; [90289020; 10730394]; [40792698; 62644135]; [28907696; 36422078]; [31878105; 47276384]; [61945624; 39288688]; [80115714; 89350714]; [97831137; 64461200]; [23933919; 85830952]; [44490144; 8164932]; [22066090; 92437415]; [4388703; 66887369]; [12663168; 25336466]; [75026827; 2871929]; [85944648; 1029418]; [90693832; 28030239]; [23489324; 4494891]; [90445461; 15976897]; [12317730; 14397094]; [67347276; 79763773]; [38664533; 51082752]; [10745418; 94898218]; [82371828; 97320839]; [8954274; 47758593]; [80638747; 96360864]; [70057979; 15762337]; [21315798; 25940516]; [97447175; 43785518]; [82467268; 53863413]; [12344614; 7519583]; [52725199; 36501642]; [59448752; 93660172]; [93936650; 80334184]; [24273437; 96901257]; [39015254; 96755665]; [9182870; 67770596]; [88216051; 71330883]; [36817098; 78206002]; [50215433; 85430434]; [62706136; 64749547]; [53245449; 89274352]; [84559858; 14821597]; [53658706; 82396779]; [27116738; 59563100]; [37893522; 52211142]; [60316703; 90518531]; [13930845; 45233200]; [85979861; 1012020]; [87001714; 74563610]; [10419516; 3476]; [22831948; 68889177]; [3735138; 27013608]; [72786067; 42856814]; [93416598; 1779779]; [65610297; 3907310]; [40302828; 45058113]; [89387577; 9955460]; [86562926; 88581516]; [92539460; 33509026]; [77866121; 31151767]; [33133695; 25753417]; [90806044; 27285903]; [20460220; 83774893]; [83712216; 33308764]; [21072818; 21112902]; [15922401; 45142268]; [80561331; 26088567]; [29135956; 88762897]; [35309289; 81493276]; [29602326; 22789559]; [12348072; 88732983]; [81925755; 33030686]; [7306617; 58476422]; [65310126; 96015148]; [59695675; 23896431]; [79871929; 55265899]; [82937494; 42905579]; [3350438; 37933781]; [32872312; 54686641]; [15724145; 29292876]; [42024856; 5901085]; [99088495; 22328611]; [91552428; 98655631]; [51040507; 73004989]; [36689282; 22237162]; [32606491; 94188542]; [2836549; 3936114]; [30354965; 40738673]; [4515970; 62396836]; [78831787; 2271769]; [83930409; 89431742]; [4021591; 22549428]; [88588146; 10191552]; [5423031; 23699608]; [65286472; 79797470]; [84295950; 13779563]; [82422984; 48340706]; [10402218; 7640775]; [86785201; 4885836]; [56116642; 23324195]; [55423501; 6401819]; [83834219; 12481994]; [78063763; 46257091]; [92145900; 19870037]; [18193632; 46467904]; [30879816; 74285525]; [78880568; 52023308]; [94002357; 94622347]; [13083537; 75686094]; [71279902; 91084769]; [62578589; 93214089]; [74785373; 98735748]; [7367342; 47106853]; [49884685; 30585259]; [88053498; 29434880]; [52934857; 86331206]; [40422258; 34819321]; [1689705; 34385729]; [59896590; 26600769]; [26709907; 7335627]; [90169553; 94684888]; [76216696; 62384644]; [32014615; 35690309]; [49067659; 15881382]; [11555819; 84406004]; [31930887; 88396262]; [90675151; 77898679]; [77603367; 15960035]; [43489508; 77846746]; [86041824; 82726050]; [20477426; 48514717]; [92918361; 98657134]; [27185552; 15575993]; [8364660; 60139923]; [68557596; 86881583]; [10049817; 20048949]; [44565200; 60476894]; [24022959; 48438676]; [92442943; 71726620]; [26535122; 25156778]; [77076618; 35296424]; [10543992; 72511046]; [47491926; 13268971]; [40309058; 46487188]; [49857377; 97055164]; [67639756; 99131235]; [72546823; 27103754]; [24971636; 38764707]; [60559087; 11746836]; [103975; 41809399]; [43622412; 14398318]; [95491331; 14749437]; [7659216; 6044998]; [38143892; 9180569]; [9820473; 21092645]; [47198544; 96924361]; [79603809; 64515531]; [26032529; 84561194]; [58851749; 11900084]; [44994886; 4514264]; [75493105; 51105644]; [65233461; 2126501]; [5303755; 18537733]; [6062910; 62810824]; [17909848; 91059393]; [2133693; 79977434]; [63862665; 5622140]; [65737929; 42775804]; [63666384; 72366462]; [27644629; 52228835]; [10851472; 81615464]; [96887107; 90262958]; [89487980; 97721408]; [91016028; 83776327]; [82648551; 14201148]; [80155972; 99634260]; [86635541; 81087699]; [60757320; 80451247]; [27869020; 77239890]; [6799206; 38740824]; [84043233; 35810890]; [6596802; 30566043]; [91961634; 16392123]; [86247514; 92045810]; [86679917; 22694743]; [68656814; 89872674]; [43505660; 53408905]; [14804229; 45002511]; [29882727; 58873924]; [10951399; 60345864]; [34507014; 55989586]; [89171307; 68405474]; [21695432; 7034341]; [27753726; 37397738]; [33804147; 91784443]; [7900382; 5105443]; [53677478; 40260605]; [73181803; 56190848]; [97825077; 91808978]; [19176995; 99884857]; [41994782; 19900012]; [75824408; 5512576]; [36948878; 34732558]; [16872337; 44189783]; [87334751; 84331010]; [97709411; 30874046]; [59266456; 82061372]; [70300087; 4936359]; [16128447; 46355170]; [70440863; 20131560]; [1703652; 45039834]; [88657147; 61054735]; [14713481; 66943764]; [35067598; 70501571]; [62013680; 9118154]; [6144330; 10733819]; [65502213; 25466788]; [82652549; 36442835]; [20420003; 79048093]; [44504610; 99007673]; [90200092; 95877894]; [72738713; 78304098]; [16248896; 37900781]; [60570385; 55735075]; [6879839; 91424972]; [78144133; 42430807]; [39249051; 9480829]; [45944875; 76772367]; [86854809; 17104066]; [66693781; 79574557]; [76746789; 99364734]; [69254592; 47665142]; [9506799; 47125309]; [1031327; 22026855]; [31039914; 5700593]; [42168013; 5307632]; [12362684; 48036763]; [70252238; 26736053]; [18268506; 99212842]; [56385156; 69859360]; [78209121; 18280624]; [69973421; 7904646]; [14840589; 72555606]; [66662514; 33636165]; [68489753; 15910389]; [12546558; 45128020]; [90665462; 46551800]; [82546389; 8526000]; [81947149; 69861764]; [5864834; 57601791]; [54006864; 61327215]; [71040180; 26006221]; [6218536; 51203601]; [83467643; 39533646]; [57936632; 4123866]; [55913372; 64298504]; [31632525; 27836754]; [11551536; 20640613]; [19479080; 56508674]; [50120329; 53395319]; [7098495; 77718911]; [32205836; 98488393]; [44151262; 97560661]; [58786569; 95833923]; [61012706; 70885564]; [11161376; 20287379]; [69604771; 6414178]; [17582396; 84649633]; [37376330; 80448353]; [89227635; 87218522]; [4797119; 2924229]; [58883057; 36608249]; [66990649; 80663741]; [85263461; 37920573]; [10979677; 81328685]; [85554016; 86092784]; [89001614; 2478568]; [74395884; 77720228]; [13480886; 29986476]; [6337575; 85906460]; [86836638; 30736670]; [28121476; 29272687]; [36334856; 1791995]; [55845779; 7805312]; [14976772; 85664100]; [44811266; 48276360]; [75012276; 74381437]; [66802122; 39906498]; [43430092; 78895052]; [56335933; 60362556]; [59126765; 16005187]; [47311700; 5269714]; [51100896; 66314686]; [53295017; 41677378]; [91524116; 38226305]; [65768125; 84287777]; [6529566; 49747224]; [87818037; 50476818]; [93257658; 36570604]; [45732754; 5355826]; [72952495; 72657101]; [73104170; 94356410]; [27176650; 93013755]; [45353518; 16463290]; [83749703; 66092249]; [12151427; 50422104]; [89210537; 42792006]; [66328600; 16209182]; [81452140; 81831030]; [21446836; 64235055]; [31319459; 16526699]; [52520025; 58474281]; [38111984; 19455768]; [16136253; 65159639]; [8736419; 60366155]; [85446297; 37185122]; [70792524; 30837612]; [82525088; 75008296]; [14413519; 66427004]; [5785239; 7678872]; [78636115; 45598944]; [78455362; 18949255]; [9552693; 12737016]; [62907963; 64839565]; [50300640; 44995052]; [12759392; 49516298]; [66225445; 38382889]; [74254542; 97046203]; [522471; 14715001]; [64529277; 21577548]; [85314133; 84276642]; [85525025; 78546292]; [98965807; 38111960]; [44836718; 12604356]; [73762254; 50258534]; [45555507; 73397702]; [42926021; 90321620]; [58265682; 86322706]; [95313445; 54038930]; [11169735; 77449627]; [24912815; 78393471]; [96356440; 97437121]; [1861480; 85474043]; [18141617; 51705582]; [66033775; 17124722]; [44352697; 21035493]; [78185235; 42868407]; [85090939; 60870312]; [6168182; 73829610]; [25153385; 18888357]; [35259058; 13671243]; [47870096; 87854025]; [29345191; 68077432]; [3692769; 97789831]; [75849310; 27892252]; [90986456; 23133489]; [51755618; 64106458]; [72727887; 79167925]; [34540663; 76090537]; [79593676; 83869848]; [51441478; 65331845]; [42409255; 33103288]; [6213341; 56992599]; [21181700; 26188481]; [69137292; 1196424]; [39688328; 865457]; [52795932; 4212608]; [68035803; 48983472]; [27941629; 47187400]; [39749972; 89443857]; [23024532; 82979359]; [2189850; 53058634]; [42384195; 60840885]; [12493700; 75902895]; [2463706; 66466387]; [59837134; 38418624]; [37436675; 67463670]; [9033320; 37342629]; [48735050; 56608813]; [28757810; 68363050]; [81050639; 61456701]; [96457246; 94448485]; [60524416; 18081250]; [58659443; 70698402]; [86496702; 91874928]; [57403033; 51228069]; [72880398; 39666130]; [65110459; 69287667]; [91433540; 95821660]; [83449419; 73813269]; [79295745; 62850634]; [75493577; 87074294]; [83620092; 32541943]; [96407534; 89144313]; [29773589; 1903904]; [973861; 56140897]; [29624381; 31722997]; [6027743; 15050377]; [67014772; 3836740]; [6642390; 66343544]; [25182974; 147013]; [98952285; 16794745]; [91548589; 40931020]; [88760052; 57000427]; [12483157; 19816504]; [51253657; 24618899]; [15439566; 44673418]; [26578046; 82858203]; [39111415; 97071412]; [47380859; 24389028]; [27986531; 68083453]; [7390662; 24374454]; [73764102; 12113631]; [33401139; 30312373]; [62051202; 31373494]; [55757185; 57113560]; [54687486; 65094918]; [92972610; 11238515]; [2711491; 69438492]; [98316012; 10443002]; [24511362; 88195759]; [31563219; 93367558]; [41871589; 91544184]; [96657923; 18918921]; [48307476; 53259825]; [44935243; 40263301]; [35075461; 61771570]; [23173331; 5436217]; [77426685; 91275473]; [81600277; 4833624]; [53054210; 8323516]; [97693035; 32498234]; [31132506; 39683015]; [80344827; 78963188]; [76242617; 26002154]; [84734150; 18204377]; [20399583; 46547118]; [65227493; 40911478]; [19084897; 89273314]; [59625509; 7472993]; [56165924; 67473348]; [36420535; 88328616]; [68334555; 38608858]; [74581025; 44361585]; [94486892; 6444021]; [34815068; 28435478]; [51969449; 88811630]; [96212990; 99446410]; [17943613; 78926439]; [26623417; 56143029]; [7414188; 79330169]; [70359319; 10325595]; [6549633; 4203071]; [34084859; 54062388]; [39816068; 89973970]; [75419777; 97527443]; [56950386; 96725673]; [12231903; 23909886]; [78506940; 66393007]; [10812210; 13333575]; [83557427; 79194714]; [47481196; 5622487]; [75488780; 99023624]; [56503164; 2218049]; [36237199; 39735715]; [4707935; 42054837]; [8710359; 26623204]; [96797615; 37372253]; [37790082; 21949907]; [62468148; 97586289]; [84613643; 84908017]; [8763236; 86415929]; [45540784; 2582425]; [9952794; 30255511]; [71349893; 73673947]; [20396141; 35329277]; [25772979; 10134042]; [39589995; 59436207]; [28428970; 69000235]; [82064088; 6804045]; [83294997; 1664468]; [59820794; 20355754]; [79418498; 42802527]; [51284699; 56357224]; [65446332; 88513395]; [65368248; 63111179]; [89693105; 54149391]; [18367300; 42527635]; [68814850; 90355759]; [73858118; 73844599]; [93971474; 424987]; [56068532; 27679258]; [45372810; 2601750]; [95347382; 88609345]; [93073378; 19015541]; [31540224; 69848146]; [40411033; 4300079]; [83140421; 59031170]; [99258279; 22752000]; [91082835; 70494667]; [1790198; 96789515]; [14362024; 13257173]; [35396268; 94004468]; [52163449; 63153976]; [56443649; 85083832]; [77989486; 89870210]; [17197518; 76147846]; [26744980; 3327556]; [5023295; 19088567]; [20473464; 72814419]; [52917190; 57343554]; [89634412; 35069575]; [93717932; 57925049]; [85591290; 30911507]; [7720272; 29738878]; [23459523; 74322852]; [92871648; 29428815]; [79541946; 24056612]; [86313911; 96229823]; [64024097; 47020368]; [64756100; 86179732]; [33693183; 40291904]; [90512766; 64858146]; [15920161; 14771420]; [97568860; 69994829]; [3147527; 20920980]; [2303309; 66748646]; [31719751; 59870161]; [55953196; 42362679]; [57092847; 35487380]; [95933043; 43937216]; [75523935; 78450035]; [4033738; 19479066]; [33735303; 56100366]; [44889574; 55872963]; [2183142; 1244800]; [59868412; 78737713]; [66501587; 71019051]; [46450168; 96325195]; [7244006; 44901801]; [8625580; 22078059]; [4485435; 18526779]; [86933775; 38772795]; [83000228; 35526805]; [73664678; 50673180]; [66187294; 80681436]; [28149327; 39190505]; [83804781; 83726026]; [56009422; 24988501]; [11278942; 38677041]; [65391593; 76516573]; [21579706; 8868797]; [22935437; 81536541]; [10841320; 13476105]; [53235735; 36394182]; [35371727; 90013761]; [2946772; 29561073]; [45756240; 23477618]; [45331376; 62968304]; [5590468; 13304655]; [50475005; 98658882]; [29561652; 96558590]; [7694405; 28733909]; [41899711; 88648471]; [14572752; 90995850]; [61281118; 97323119]; [30352255; 68048675]; [54346948; 62788297]; [67775129; 16260371]; [63597695; 51538251]; [47055039; 90339999]; [1843044; 16487215]; [26911377; 13437411]; [31390149; 74499486]; [73151968; 78507978]; [76646492; 1783789]; [11007290; 25124959]; [38439581; 7201326]; [35023252; 84646851]; [42752138; 79672268]; [71098512; 63103122]; [83905618; 6488838]; [47469456; 83885908]; [49339158; 58293701]; [70332404; 43232975]; [42307829; 16696195]; [86428154; 42905015]; [20292542; 25719132]; [68987093; 69852356]; [69180718; 15354653]; [75808305; 40209824]; [5409040; 16667131]; [57069418; 14919965]; [67485911; 43809971]; [4267193; 63720232]; [78824921; 15393830]; [96998062; 63622446]; [96063519; 69405243]; [44417234; 44276798]; [31989342; 22459315]; [71405727; 60932466]; [8348169; 2015429]; [15847522; 47776474]; [69525928; 8014074]; [60603987; 88856818]; [96791396; 6521283]; [18547846; 43312334]; [19563368; 78773008]; [98256837; 48386357]; [16852244; 35728265]; [42548904; 51501843]; [23513925; 96461039]; [15456328; 42448422]; [5207805; 14238743]; [42178139; 95189811]; [28949579; 2729780]; [83120111; 14047454]; [82238880; 34567035]; [40691149; 8875317]; [31796415; 84352727]; [46252241; 78066964]; [81839819; 57119313]; [8378060; 43952852]; [59576091; 94986693]; [89262051; 11621632]; [49838249; 96725450]; [90566913; 73973115]; [50702747; 2351568]; [33828994; 75123387]; [70196148; 30929848]; [66245753; 68264563]; [54090588; 84211516]; [62166808; 44821160]; [9186796; 59750425]; [59471924; 6094075]; [81963819; 11513929]; [745530; 50832546]; [99982295; 23616851]; [70314613; 94769825]; [15720718; 17221419]; [88889366; 79520628]; [4423656; 42949466]; [2245907; 32067284]; [26867511; 2785887]; [66732886; 10091424]; [89512583; 94536872]; [77576243; 97248776]; [59986717; 15716575]; [22933038; 91228192]; [22103625; 25742115]; [6414912; 15737807]; [96364311; 99858557]; [38701964; 3787938]; [32908335; 34539881]; [41661725; 81094481]; [3182958; 12723353]; [9412064; 86007899]; [4569014; 50871914]; [89285339; 45743639]; [47928260; 67529483]; [54741267; 31867438]; [81746613; 97689296]; [70970547; 5627600]; [95738110; 16584080]; [63679500; 21239086]; [19627590; 6947489]; [86989655; 44737592]; [6781068; 10543055]; [57657176; 61730557]; [69632486; 11417317]; [1001012; 78865254]; [71605091; 81200643]; [17693794; 17972471]; [13326516; 18750518]; [40080920; 49070761]; [99460113; 74493806]; [79101328; 40105018]; [57576967; 33064512]; [65080031; 70667773]; [48170438; 36917396]; [26600965; 62745713]; [72881909; 50172430]; [2195831; 59021423]; [18872293; 75452017]; [8115800; 73146649]; [24052352; 25187867]; [8583236; 63675383]; [38816904; 54708867]; [52526797; 88496306]; [30307108; 66220469]; [28000967; 74688104]; [52301256; 44744258]; [99583060; 28732759]; [19547622; 92724059]; [69565778; 70197142]; [22867084; 43096571]; [92329547; 33544193]; [66042264; 8989476]; [14697198; 71709470]; [11389800; 95361126]; [539449; 15649600]; [52822750; 9217251]; [77176464; 46847730]; [98675040; 46875978]; [47778799; 84582820]; [80554290; 6336156]; [24878670; 49571547]; [70701956; 57808682]; [91308088; 54439558]; [12810599; 9760212]; [31977948; 67616318]; [26326482; 56910241]; [70413119; 69909803]; [15120960; 43971866]; [83522045; 84749809]; [88593950; 40163313]; [66060746; 1713749]; [36061091; 99619272]; [21538888; 48820119]; [7013600; 69039735]; [46951580; 28444377]; [96245125; 7769114]; [22315742; 47076117]; [15227929; 82555073]; [190195; 83272819]; [69012057; 29454698]; [38502339; 47005030]; [16904425; 65538024]; [61907783; 40269794]; [58178178; 56539238]; [77539069; 6870200]; [65873202; 72660314]; [90994628; 12496459]; [91036078; 15735882]; [87453546; 33296551]; [46303282; 59605239]; [13854852; 60841128]; [17299900; 28186999]; [75179441; 96606815]; [70007513; 3169769]; [89274355; 29972934]; [26655487; 9394006]; [75315439; 52158935]; [45416102; 83584227]; [78016589; 90653587]; [18033589; 18759077]; [60783029; 14378736]; [83675493; 25373457]; [19321901; 17513081]; [46895982; 27940751]; [24675951; 97494505]; [17181496; 98303233]; [18961670; 96100300]; [51029082; 76788048]; [72211114; 98926084]; [15741120; 8384168]; [24700691; 11358031]; [49244578; 31376409]; [33660072; 29447252]; [66515069; 62821903]; [28956508; 52837961]; [65457086; 46463746]; [83538976; 49573031]; [72048227; 83019670]; [82776036; 72141459]; [53475606; 5882813]; [23556050; 75907554]; [96785267; 86539101]; [30732956; 14551899]; [27483099; 34592671]; [88326945; 63044553]; [31686455; 17615476]; [42182620; 55696232]; [1815131; 79296112]; [95459274; 89898668]; [79144256; 15208984]; [75305945; 22159251]; [72091944; 84454904]; [37303458; 17446171]; [86185304; 80956713]; [6913671; 64047374]; [80216109; 55092323]; [6859277; 70453153]; [92039919; 98114360]; [75221179; 17267154]; [56674889; 53885566]; [75815089; 53008351]; [62420221; 88543832]; [64486676; 72012049]; [6607965; 99772567]; [91373903; 11233886]; [54420090; 20197759]; [23142698; 4726363]; [83805267; 73673219]; [96958965; 40866081]; [90754832; 41573809]; [74697825; 32956057]; [56104356; 64643476]; [9266219; 13546735]; [43279714; 55050113]; [85691827; 35066040]; [46453818; 88584100]; [15248386; 57718061]; [62328491; 43438298]; [19124201; 8763350]; [37708561; 2033102]; [72114366; 80327281]; [62562096; 94540582]; [91702428; 78082773]; [18739560; 93360954]; [66037606; 39024175]; [2718139; 37859802]; [99016906; 58590857]; [38862131; 1938128]; [86086591; 22867975]; [73685276; 17634219]; [69300116; 57745181]; [35771819; 71790045]; [95270088; 36055039]; [57499376; 84580348]; [19014942; 78084951]; [49399025; 23219944]; [61531897; 64080844]; [1607867; 760759]; [86047225; 60378027]; [33271487; 61256730]; [26430475; 266329]; [73830649; 93695366]; [221367; 43206790]; [43168534; 54408037]; [95077621; 98845836]; [22247926; 26640341]; [67244635; 69857006]; [42579475; 75853829]; [29068447; 2284556]; [10419980; 81364998]; [76920328; 80794645]; [78162462; 90732546]; [372369; 90003450]; [58670226; 82847342]; [46460340; 58816268]; [77904523; 68565140]; [15806046; 33344638]; [91181861; 77095027]; [56310172; 79127338]; [27030312; 97070118]; [70374866; 22376287]; [74108271; 74969526]; [28902967; 20205999]; [73290824; 16943722]; [12203724; 20586048]; [48754821; 32434785]; [56527390; 93725830]; [45777076; 24376730]; [3411106; 23777385]; [14473472; 29499525]; [86707582; 55139535]; [79022644; 42822804]; [76591912; 10933693]; [50302215; 29647707]; [74350764; 54178506]; [24942852; 40357727]; [42285947; 10562498]; [13753298; 50525609]; [78330428; 3468890]; [16680926; 21143253]; [64807226; 72240604]; [14031457; 63758783]; [91567720; 73056677]; [68824843; 45926097]; [83344393; 71615258]; [54203646; 30788839]; [86381438; 11979199]; [84175215; 95538089]; [20006189; 27602306]; [69999286; 48769088]; [32569823; 33839122]; [79691693; 95508913]; [13803553; 20594751]; [10036795; 96273499]; [54263395; 90184103]; [85307544; 19228630]; [95717286; 97776655]; [42520427; 79686936]; [59864314; 53140849]; [76283370; 30653764]; [1618509; 44263367]; [84137144; 68481620]; [50392889; 50354439]; [17358013; 6534957]; [28415215; 71173247]; [41039029; 47402104]; [97899285; 97681976]; [76088370; 94561185]; [32879069; 23123148]; [44990037; 86231843]; [27356685; 35601749]; [74853635; 32124297]; [1154501; 40815183]; [78802787; 17986176]; [20544291; 67975503]; [80982939; 77281869]; [33691766; 84326588]; [36289161; 94864093]; [50415528; 32562957]; [31609668; 1691260]; [98800533; 37444905]; [64894; 79394847]; [53525427; 57738476]; [2436787; 48048326]; [70549205; 32139482]; [91641811; 87083491]; [96121799; 19203463]; [85247032; 73158218]; [29115456; 17667437]; [32364842; 71161208]; [33874226; 90224799]; [26728796; 63120026]; [70586680; 41971173]; [19275934; 88526748]; [31847638; 79802038]; [12301733; 4655260]; [23471821; 46174161]; [99239914; 84751663]; [23771923; 32079002]; [74082570; 62521061]; [88917077; 32082086]; [34734347; 81387284]; [11889878; 21059160]; [64555177; 56878809]; [44962604; 38522963]; [26710625; 5205947]; [6369866; 63678401]; [84768350; 11430275]; [28299317; 77536890]; [9599479; 37367929]; [64566967; 66501773]; [10240979; 73967272]; [87827787; 55642909]; [73869903; 75731433]; [13512577; 95590158]; [29935599; 54135491]; [56223768; 32981638]; [1734710; 10521325]; [86271338; 5724136]; [11433338; 76919390]; [26565538; 97312542]; [80014979; 67092322]; [72623377; 16222074]; [26799276; 36976518]; [83373802; 57953522]; [63685092; 19237583]; [89518012; 33005425]; [19121240; 32864332]; [39440747; 65309216]; [84482925; 44634380]; [51873411; 43162347]; [34771951; 36820631]; [41076778; 35807815]; [69631349; 14265434]; [97566469; 93394376]; [7805013; 34874924]; [61430179; 52519061]; [87709843; 54415492]; [80098372; 54528648]; [11976184; 67369047]; [73632465; 78104133]; [27052614; 93467564]; [64153629; 2492829]; [6466925; 91210369]; [55478465; 6710009]; [45769796; 72902579]; [83664591; 54322927]; [10094052; 46617643]; [81514417; 99536869]; [89429768; 33930636]; [84868589; 96099150]; [31878748; 71783841]; [66052280; 52762339]; [9011048; 36902641]; [53922452; 44406725]; [56956122; 82864823]; [65040996; 6056523]; [60644297; 26845096]; [71151242; 54307639]; [89907010; 96555058]; [47114284; 92176548]; [85782750; 95404520]; [26771652; 51206793]; [61835436; 59168042]; [81479727; 38052324]; [59620824; 57391846]; [44250962; 14233760]; [45962154; 72231985]; [98292136; 81092493]; [40379129; 2789448]; [97607141; 51504284]; [98264400; 16089847]; [16666482; 8989942]; [92766272; 28216301]; [39636400; 61890436]; [65096870; 68199765]; [66243707; 17010732]; [83667422; 63767194]; [10383296; 7172242]; [81384235; 70799986]; [59640057; 73838325]; [87732023; 90006362]; [81690157; 16632720]; [52808462; 45112204]; [71664059; 70442070]; [14975930; 29913626]; [83259441; 83871615]; [66366643; 61688362]; [34381142; 24463892]; [16728366; 62013730]; [38084329; 58095990]; [48326381; 28682339]; [85910561; 56888136]; [63900287; 99604901]; [58994726; 62003860]; [69999362; 2233982]; [96114241; 9823923]; [85539958; 20477881]; [45665258; 29784113]; [44763731; 20834888]; [32667563; 16711536]; [40111357; 94161886]; [79717502; 91914162]; [31445584; 65814226]; [23458744; 77971352]; [62591983; 31807956]; [22458069; 67770809]; [25742566; 72465317]; [64860698; 20753732]; [94070360; 92091024]; [54016347; 71932746]; [88501772; 62013301]; [12389104; 34778235]; [49580519; 7254541]; [1569738; 22726543]; [63420704; 31797309]; [56834466; 16907523]; [10298608; 90683692]; [85759715; 55890456]; [47779462; 36652378]; [49299021; 69857165]; [70058993; 35410214]; [59223562; 83683977]; [87699871; 70146188]; [5961692; 3773784]; [89560578; 15107859]; [51936271; 82777044]; [61491879; 32605816]; [70483509; 26434846]; [84730821; 24679221]; [39243921; 2721290]; [73467243; 48577900]; [15562326; 27810280]; [96071656; 2907294]; [37636546; 12935607]; [34861743; 34256972]; [40920896; 12830216]; [49684233; 57550425]; [52870611; 24188666]; [15992784; 40107021]; [7581978; 74879059]; [42181668; 90344485]; [86833818; 9477179]; [54495566; 86213483]; [1896919; 27735903]; [76213501; 60940545]; [97612532; 10417872]; [27576333; 29887715]; [730389; 28915270]; [87095024; 51866405]; [41666270; 93402551]; [8573649; 18825915]; [5954416; 43481254]; [17349990; 3540609]; [76890650; 69502099]; [20244282; 58020485]; [58000236; 54776542]; [13480037; 435786]; [90711776; 27942144]; [83283046; 13723135]; [67367348; 41941523]; [31842325; 62004924]; [31080203; 32866124]; [53078320; 96336422]; [72827507; 79714108]; [7691019; 5466533]; [42856038; 56791611]; [16853280; 82784183]; [74136681; 35302945]; [26549507; 44804733]; [33077833; 59058406]; [63332500; 20323157]; [81400730; 67173987]; [44162665; 54931710]; [60273440; 27331510]; [91496064; 6795387]; [74807607; 60805741]; [95544841; 28079916]; [19381970; 78296431]; [28370243; 38961089]; [44557809; 55463327]; [99502028; 60013884]; [34943651; 16379642]; [5843648; 68209307]; [15364404; 53278643]; [11788533; 11173862]; [72628323; 36897860]; [48731428; 10289903]; [72238002; 73889866]; [69722824; 89013953]; [38899145; 97074632]; [6238385; 83312042]; [56928119; 44257426]; [62379203; 92554689]; [96238017; 73866175]; [97227929; 60425991]; [59528098; 67229240]; [7836432; 21913360]; [57207078; 82208313]; [67554989; 30003535]; [48068113; 87471617]; [44929792; 32589231]; [21732281; 85250646]; [77786391; 414663]; [90019251; 56404612]; [62343134; 53339291]; [19724162; 3140042]; [12341252; 86498168]; [33325932; 31399181]; [24402108; 14606253]; [84354278; 54092530]; [79385827; 13614571]; [91380462; 63945640]; [23470477; 14919303]; [72600518; 54293870]; [98505267; 46299169]; [24642384; 54824242]; [64737892; 34565184]; [46860906; 42843562]; [44413637; 92307877]; [17910127; 68014226]; [20232072; 37480438]; [22796240; 66585557]; [51847804; 71642124]; [34025147; 88135944]; [36955475; 84470523]; [65268184; 15982280]; [58215498; 63565244]; [61085583; 22724364]; [88675252; 62772750]; [428160; 94237959]; [16334715; 1949356]; [29902302; 25284252]; [70154535; 96263792]; [80707030; 75859806]; [19839929; 87874785]; [31154748; 9505329]; [17676633; 58005687]; [20996165; 56219491]; [88641373; 34773981]; [56226099; 27559004]; [65652165; 82042067]; [91502685; 9525130]; [71270228; 98634395]; [82683143; 61945582]; [28805383; 49545180]; [92196802; 20717913]; [9366761; 73786941]; [84572561; 38055033]; [88225264; 78679735]; [76674100; 84514788]; [33171153; 47075738]; [39263231; 49690073]; [12561416; 93363953]; [70110492; 17469836]; [90663982; 41915983]; [14239152; 54248212]; [62875387; 58121986]; [91658003; 78633476]; [25270747; 1864897]; [22700554; 70345987]; [73187523; 11097884]; [74728431; 58594424]; [51583243; 14460309]; [3562157; 77424350]; [57516184; 84633794]; [57658210; 7478423]; [12795109; 90217217]; [1116301; 2808500]; [25796477; 4085263]; [92354106; 99366732]; [76464988; 17468437]; [92365859; 80228566]; [1278180; 54444151]; [65104754; 9195288]; [81438048; 90999389]; [26688377; 71087718]; [1782712; 62834108]; [76996468; 80751390]; [54002880; 13882785]; [817006; 87573402]; [57997323; 83958401]; [30584883; 92366996]; [63205863; 64177156]; [41086200; 8720493]; [50431284; 5201156]; [56620875; 1832518]; [1652812; 90284840]; [94574142; 55395417]; [28677786; 25889374]; [83211538; 81033562]; [97659618; 10228897]; [46757455; 55169884]; [87962843; 50845030]; [49087149; 82528601]; [91809051; 50310028]; [66800928; 68099987]; [98386177; 62297842]; [25094127; 45669310]; [17936177; 24095882]; [83911949; 84320539]; [37659650; 62260698]; [43274300; 1231666]; [63775710; 57570790]; [68150644; 71283236]; [8839774; 79416480]; [16295239; 21674848]; [14774246; 25460622]; [71627087; 91983800]; [94241062; 80856306]; [16165369; 15840700]; [39305535; 39690356]; [45429079; 86900532]; [10211791; 43174352]; [38509751; 16432492]; [46420422; 389267]; [3917448; 33857148]; [24799664; 9789631]; [86380178; 42092494]; [32381848; 6144023]; [68759524; 54598435]; [86296282; 60825482]; [53124733; 80795968]; [29725105; 60869344]; [54652685; 67640283]; [68859250; 16156520]; [23367812; 12561512]; [19534790; 18325291]; [50011727; 9727595]; [75725073; 96920057]; [20345300; 65234843]; [76987279; 65544655]; [22336142; 80706332]; [75203496; 46216182]; [21942569; 45932249]; [6850754; 17826434]; [48327523; 79555886]; [17981250; 81024320]; [33759290; 63772217]; [54692062; 32261633]; [94649614; 69860443]; [56284642; 78474350]; [86695239; 52680194]; [10865853; 98479544]; [23504184; 1648405]; [16037873; 64868979]; [90777733; 74413153]; [39188476; 56202409]; [45602234; 61485031]; [99476216; 88665486]; [56400053; 33296406]; [55064958; 91806142]; [69354088; 26325901]; [67498546; 24858734]; [56681196; 7053731]; [62807887; 83054852]; [99370885; 28219891]; [69123542; 24639724]; [2455998; 36871322]; [70130573; 24469715]; [23103990; 25283176]; [28114524; 23518223]; [52536170; 26446985]; [55386733; 88718984]; [81426447; 99823438]; [29012530; 6682409]; [9313296; 73306882]; [34230509; 85494072]; [73674093; 37201657]; [96240676; 68763729]; [50931398; 57344566]; [95686671; 84373393]; [5341255; 45091661]; [54639993; 49272151]; [91075122; 75480749]; [41148584; 57017576]; [44898270; 83197779]; [13063984; 14510340]; [52630997; 55343036]; [32745688; 32603319]; [57940931; 35777694]; [67699674; 59627946]; [22019390; 70991039]; [72627889; 64070802]; [81106329; 43069433]; [12710932; 26342046]; [18176040; 89434922]; [28137568; 94343416]; [44934866; 60872483]; [71382328; 88516918]; [53407350; 41846598]; [65665492; 24520195]; [26584802; 93091725]; [58845204; 32410559]; [81661606; 41229919]; [95459735; 60843957]; [52040181; 25390142]; [49076586; 11330428]; [25129402; 71790025]; [62632658; 34212136]; [7111839; 83460498]; [50953180; 4903384]; [66327192; 72220428]; [30259205; 3849957]; [71025792; 22723626]; [98092280; 95293713]; [30514372; 11659266]; [93230884; 83079017]; [84679309; 98137136]; [75905391; 67624843]; [78362074; 51003862]; [44712210; 14832122]; [60202574; 80364230]; [47781947; 85419566]; [66524215; 53423779]; [66525246; 41718564]; [3754598; 78623592]; [44151762; 21053999]; [42640849; 21120005]; [68089503; 18274046]; [70352383; 56674470]; [23014110; 26222292]; [18881663; 11562089]; [68062030; 85119204]; [69193337; 19016990]; [42160556; 78248237]; [85427066; 47274564]; [46083719; 61484726]; [44140787; 56252237]; [45039; 62440465]; [46008568; 96160145]; [80806747; 53534194]; [88625051; 87178956]; [2774546; 26147571]; [98305260; 45597510]; [11737836; 19100353]; [559006; 92982399]; [45310148; 49933392]; [88142095; 11645219]; [43859110; 63819831]; [56194868; 26853630]; [10742482; 43747747]; [89604346; 48746470]; [43598016; 54429076]; [61766994; 11271162]; [98976069; 38635100]; [39602206; 45545871]; [69063934; 44983000]; [68323322; 16707948]; [84669481; 81258864]; [74442591; 80079648]; [38432694; 22277264]; [39696328; 58963242]; [38271938; 91911460]; [91526866; 46270028]; [3721357; 36448787]; [87369440; 85482379]; [96881720; 36984734]; [24463703; 76719427]; [20464379; 16688373]; [10051484; 47703747]; [82205311; 2869286]; [69886870; 61063487]; [25186599; 76457994]; [42591763; 71197270]; [9145120; 49658575]; [22331755; 89423172]; [52525888; 8931999]; [92058163; 83527698]; [48944634; 23666017]; [67267921; 5575749]; [52116266; 3546225]; [13125639; 44989648]; [94842316; 71536518]; [68645136; 64728805]; [26969614; 63206057]; [74497942; 7970580]; [50602045; 31403384]; [12284362; 64164872]; [94761815; 36834043]; [96664202; 58481806]; [10034235; 78634167]; [61351089; 45972172]; [3912778; 93202437]; [12103044; 28867775]; [98571324; 90729311]; [2826095; 25109513]; [10374211; 55536982]; [47806629; 55863613]; [42456415; 62447972]; [78832113; 40965166]; [41720396; 59969218]; [85883883; 53004736]; [58291537; 11272456]; [8183172; 24935966]; [37728223; 67466820]; [52846348; 23571552]; [96156957; 65883508]; [43972247; 88444528]; [14671755; 81055793]; [47658443; 49497981]; [91984826; 99663689]; [84334646; 46674129]; [86189366; 64965604]; [19340183; 16704699]; [63763684; 27861489]; [30397913; 84581520]; [8203220; 36620443]; [51616905; 83317021]; [14485485; 10420734]; [31264517; 32235422]; [61038634; 50578696]; [33605005; 78484819]; [47062910; 4857029]; [83915956; 56006711]; [37848367; 18293691]; [98253659; 55605405]; [84671354; 12440031]; [83029684; 70246653]; [15637414; 77678972]; [28389763; 64896402]; [83965743; 59932901]; [28167476; 17619381]; [44883107; 77633729]; [18403759; 33514652]; [64770874; 5560375]; [4886594; 26511049]; [38252852; 7890981]; [35744839; 18268568]; [24523646; 85733561]; [46952474; 91686235]; [4098120; 13280032]; [39271991; 35194336]; [82905776; 83755348]; [92843321; 86164923]; [20336037; 39699356]; [97145856; 61749549]; [41861809; 28841912]; [57962320; 60267258]; [27142629; 61254384]; [15414554; 77437761]; [58916955; 51341446]; [41010987; 93354140]; [31050019; 38515666]; [77338075; 96762179]; [81648575; 17284802]; [20931275; 59575179]; [72489376; 50381155]; [31974026; 79633828]; [72064966; 18944577]; [65567603; 47296423]; [92094038; 68713975]; [11992605; 10819258]; [73629011; 73829187]; [7627633; 21800540]; [71523953; 22277102]; [7214413; 35602958]; [55264583; 778377]; [26554796; 61991299]; [69185898; 9948742]; [90900580; 32687474]; [87329851; 11902912]; [7911365; 74794213]; [20885578; 66421183]; [66122815; 22852339]; [78386860; 55837090]; [5565533; 90483282]; [14279311; 34677099]; [12549300; 85694910]; [5762116; 50126552]; [81882905; 17157797]; [71777732; 10680892]; [34796613; 46843452]; [16703563; 61897079]; [45648921; 24440349]; [19972450; 3594862]; [66256252; 841723]; [91451820; 86679073]; [85431245; 89141252]; [47319327; 8529273]; [1654460; 53582412]; [80022242; 72129773]; [18098004; 46687039]; [39320858; 96282013]; [56668915; 56204212]; [91248489; 68994499]; [41593124; 4228817]; [16353974; 9259457]; [53654137; 21414867]; [13550571; 96963376]; [57319992; 31655418]; [18929751; 68631129]; [32356606; 62775684]; [30307773; 88521014]; [17554774; 33134959]; [22293696; 72791329]; [11978557; 79920421]; [65734148; 60056148]; [49613464; 79317328]; [43828768; 75740010]; [54406368; 20653558]; [52122210; 1148851]; [34610348; 84384201]; [16833998; 9762675]; [9989447; 21367066]; [92792365; 44581197]; [79199823; 86233373]; [1062713; 74036238]; [2882012; 79172273]; [83192577; 17479302]; [39091213; 29670469]; [13327522; 49998784]; [90363127; 37977047]; [40896899; 78174673]; [19428892; 55712541]; [61885185; 13041385]; [81714025; 19305635]; [92610750; 13898585]; [18673701; 11198233]; [37254569; 92690136]; [95595775; 42138065]; [15300401; 64394397]; [41171755; 45447646]; [50593611; 11974119]; [93336234; 34888008]; [65710117; 43978289]; [59269627; 30948225]; [82223861; 81586511]; [15620945; 20566476]; [14526464; 24304888]; [13801161; 83612857]; [56234101; 64767238]; [9962628; 74655148]; [32402497; 72077729]; [4688556; 85502358]; [4256724; 8737299]; [81587700; 67446133]; [53743659; 5384905]; [1368819; 2665124]; [72548177; 39075345]; [33112556; 15328634]; [34413739; 48217902]; [75113954; 3275268]; [11784546; 61567199]; [10510258; 73959213]; [85592904; 79336101]; [53279443; 11105214]; [90516884; 69238269]; [35316626; 17471684]; [25202085; 95973077]; [24153910; 19334286]; [27797802; 36534682]; [68616099; 19496678]; [74024717; 52340324]; [37564601; 27571741]; [26462174; 38050854]; [64431984; 45590803]; [71015634; 37708202]; [23816865; 73958955]; [20249027; 97402202]; [5080488; 12430311]; [12886165; 3406375]; [45452111; 18911443]; [31962111; 80482413]; [1263942; 84706760]; [8317863; 96202379]; [25697268; 72689356]; [71977505; 99937251]; [19542123; 68203856]; [58832102; 34843112]; [78763487; 85486198]; [62981168; 18414594]; [21619985; 31861053]; [91278136; 1953421]; [85016463; 7823662]; [88146411; 469619]; [67048761; 77918276]; [99593248; 76844871]; [7478915; 11982904]; [57943320; 16057332]; [19180363; 28816392]; [40020672; 95559102]; [82976368; 58807916]; [93181388; 36943776]; [61152766; 24439428]; [35591577; 79332703]; [97256563; 83018868]; [71356049; 7867393]; [61520038; 15440921]; [88575483; 71045727]; [87603868; 71847249]; [1949388; 96435425]; [49162159; 16528853]; [18453606; 64217217]; [46530282; 82560621]; [93581441; 15380794]; [15857955; 67815928]; [12524911; 59639712]; [20774233; 47626228]; [4779366; 61448473]; [52845817; 47904064]; [98322818; 42335517]; [27018814; 73178887]; [27237607; 38586578]; [64771410; 81416064]; [77132164; 70242875]; [31589392; 95170524]; [49148510; 80601724]; [62825598; 62076386]; [67613582; 62603539]; [1747218; 71026091]; [25675713; 66597791]; [78078487; 9852879]; [50638432; 47831195]; [648334; 37571114]; [83947208; 19561053]; [67428964; 61822900]; [57702076; 38858735]; [25767614; 21367052]; [7938024; 84644815]; [9201897; 71387986]; [86825608; 56930604]; [28181651; 68731877]; [4173556; 11181811]; [88871532; 31040100]; [98734047; 14672227]; [38027629; 29267989]; [24285452; 54551158]; [93823474; 21763538]; [28872527; 30232842]; [76936812; 76774004]; [52782421; 97071021]; [71360305; 48881770]; [7904729; 48919457]; [91150767; 34688748]; [80740692; 39721268]; [52533632; 57928020]; [16325067; 52202353]; [14932583; 6286426]; [31383324; 79772961]; [16323482; 69405626]; [95874871; 20001758]; [27482620; 62362002]; [73540078; 15865558]; [60211556; 10926227]; [45700288; 5721954]; [14266294; 81515901]; [77562028; 7006464]; [79562185; 61683007]; [34876713; 36837318]; [4611173; 55484743]; [14412788; 62944539]; [20066184; 3892421]; [35759428; 52030830]; [76979294; 67324496]; [4912942; 27820300]; [97030143; 97238531]; [49693861; 72454532]; [51007242; 4642129]; [71717034; 39603313]; [58886837; 10169698]; [9382813; 97475699]; [63769433; 17846269]; [90449599; 68622619]; [52302287; 70347557]; [11068282; 60025737]; [95825388; 49366738]; [19135034; 28281328]; [68418534; 42684509]; [36399802; 21208420]; [98666517; 29958720]; [7096094; 13292474]; [91670451; 51695064]; [60771185; 67586088]; [64558202; 57500860]; [23484109; 87133930]; [44603193; 5803647]; [40960122; 55128598]; [80630418; 82904227]; [34370832; 27736514]; [42859016; 16024357]; [56448168; 46421338]; [69846030; 67769792]; [25242392; 72962024]; [30454568; 2275154]; [25367879; 69984533]; [67831641; 39379046]; [29737190; 48866502]; [5246183; 87433537]; [10507170; 24765890]; [16533527; 43993069]; [32610216; 85901962]; [33057271; 75235169]; [32230178; 27787341]; [38695713; 51392994]; [72414700; 67633862]; [827415; 79953424]; [210630; 52591298]; [90501326; 19702728]; [60965090; 33686190]; [49414296; 44158349]; [89498288; 42237436]; [14863461; 1548661]; [52245672; 51972866]; [56479396; 45347579]; [75909762; 21006699]; [34511773; 90706899]; [87230287; 46801812]; [80977917; 1285438]; [24077944; 5322488]; [82277170; 21574880]; [72775158; 20047129]; [21175276; 47988455]; [52746775; 12578005]; [40494370; 31166505]; [93271105; 88374280]; [36482253; 20412358]; [45365259; 23264026]; [29974296; 7127531]; [15404459; 35728520]; [91426808; 23412278]; [62062337; 29621933]; [73934345; 93162348]; [48940855; 33550917]; [64324254; 50594832]; [36934512; 68124045]; [79898142; 44218232]; [69957163; 85365356]; [79814377; 40175470]; [45621167; 5476712]; [13775975; 10341067]; [35637618; 48955491]; [69632157; 59630665]; [83773829; 17820433]; [16266440; 87355065]; [12997908; 9181827]; [27753024; 9947029]; [99926313; 62330567]; [36010126; 20769936]; [89593301; 68280336]; [15440810; 84476304]; [25483102; 22685605]; [30007631; 59694736]; [79758705; 12037969]; [21753043; 80696795]; [74257389; 21348859]; [25549677; 42819496]; [78316190; 12957342]; [1054064; 73945334]; [727184; 23622731]; [68984484; 33892271]; [86461359; 60037289]; [5735198; 72355070]; [60754350; 43635631]; [49815223; 75458685]; [65120040; 39337961]; [89904156; 26307291]; [26850915; 90377884]; [23058835; 63473259]; [27248977; 86964063]; [71254983; 47876988]; [28441507; 85017793]; [94725986; 72817101]; [1463353; 53384545]; [53395836; 1343243]; [38566295; 24335141]; [77155160; 7926454]; [80099701; 78362453]; [73399493; 7462449]; [82156099; 78401199]; [20117108; 94451676]; [95203196; 77422090]; [62639144; 52471223]; [39901556; 70413850]; [49913552; 72187035]; [70757250; 50052528]; [92120143; 2247186]; [45086282; 37225204]; [79314492; 58014685]; [83082886; 48428715]; [22886280; 40969738]; [96488516; 26619619]; [44311480; 89818775]; [84857835; 32094875]; [98116166; 78862502]; [69526783; 87202929]; [23166828; 60114842]; [43727763; 1583975]; [37839192; 69577945]; [84692718; 90153505]; [263513; 22447433]; [86356708; 31994280]; [98750977; 60089934]; [27811384; 17069594]; [37754294; 13693867]; [9441003; 97042922]; [79095339; 81113543]; [37153117; 50563927]; [26124064; 35936135]; [73672194; 83372110]; [83006854; 18923075]; [54208977; 54707705]; [92280143; 73189938]; [21069247; 58514827]; [35638448; 27406499]; [8447059; 95004561]; [64963158; 3878801]; [99758563; 73303344]; [39011711; 67385000]; [34300119; 44841407]; [62734672; 94130348]; [41572971; 97245638]; [95715903; 59410818]; [73813814; 99348077]; [50241576; 21893105]; [96625665; 53494625]; [5258287; 87316262]; [2534647; 87912685]; [47639916; 45653156]; [61669321; 40867482]; [97118550; 48384540]; [80493401; 11572824]; [11829978; 19995260]; [42690354; 70734975]; [17207066; 98807138]; [98766344; 60466120]; [74669907; 48915691]; [19255346; 10776853]; [62576108; 22018333]; [7436667; 45998550]; [91234243; 58074864]; [33938864; 43300661]; [17305012; 5229960]; [71861551; 54611325]; [61603962; 80700109]; [49788571; 69380905]; [25929173; 77398798]; [32643286; 10187410]; [95265180; 26965156]; [81439215; 71534582]; [59365062; 55010569]; [8526899; 15979704]; [7848664; 86266770]; [42282667; 55719921]; [80555309; 52349585]; [84481193; 65870396]; [5209410; 92000609]; [1846227; 9753563]; [25006417; 21120732]; [30186668; 66476751]; [27129117; 3386455]; [80406762; 87333998]; [35085487; 27131130]; [75042550; 7875860]; [61150593; 2749496]; [11666805; 82417594]; [97071323; 52431948]; [29354651; 71895795]; [11226018; 67535074]; [79540664; 85146784]; [37844154; 62907760]; [97358725; 27703080]; [61152222; 51299527]; [73835336; 1073067]; [38932551; 52579435]; [82758973; 73301938]; [25149586; 94154015]; [31294713; 56728413]; [6770579; 34376173]; [94124908; 82746430]; [51139243; 64760619]; [78170662; 9372013]; [29306083; 95177189]; [49872545; 85171648]; [82637134; 72247047]; [51926577; 28044483]; [37863067; 72469934]; [92448098; 52334431]; [56109114; 61122242]; [52618802; 78207359]; [23027512; 51524013]; [11922501; 37059689]; [97925227; 27134597]; [89634388; 91854425]; [8756921; 60580053]; [97766346; 27272092]; [14250102; 87836653]; [30629845; 81022511]; [79799805; 62651892]; [58512500; 86125646]; [57054933; 2686244]; [22913913; 54899408]; [81840799; 29762337]; [76047023; 97385669]; [51432087; 37571054]; [66261527; 49366827]; [123303; 29888504]; [25336582; 17791275]; [5813707; 21313890]; [25271594; 26830399]; [5710059; 68771003]; [45408073; 87275118]; [50213025; 87001327]; [31092223; 69572882]; [10347220; 20130149]; [72740175; 17961921]; [23897910; 8130072]; [15609516; 94629697]; [52300321; 48339970]; [98166019; 98417165]; [50671563; 85766471]; [78137886; 13916936]; [6996815; 39147713]; [46350284; 61980542]; [34459710; 67073253]; [28766801; 34438898]; [10128656; 11383978]; [38479492; 96002990]; [83213353; 41206975]; [95436458; 98712237]; [68220577; 4214656]; [87311205; 37969255]; [39921201; 37941000]; [83375664; 73363443]; [36432826; 70013334]; [65895797; 34789336]; [34009921; 51387471]; [65315825; 35454135]; [5643274; 90274493]; [68960753; 85785161]; [21346488; 62388889]; [70979277; 31407019]; [23392833; 65730644]; [1629631; 15553101]; [36357180; 69945568]; [59891068; 49720786]; [68730163; 77674539]; [77206988; 56936449]; [41393069; 52056090]; [91376903; 80218706]; [79013749; 46806401]; [78423203; 14198360]; [29456420; 41128270]; [13763272; 63771480]; [90648859; 2046170]; [84433951; 50060145]; [64601100; 81484719]; [6867596; 19401736]; [12954035; 86083041]; [984909; 58767483]; [6141313; 20483747]; [34393317; 85006184]; [39083406; 35495433]; [96136807; 28527402]; [22762914; 65050465]; [17493371; 66377844]; [82228957; 56710108]; [40512714; 82446529]; [31222068; 50108677]; [19569458; 73534696]; [4335733; 88238694]; [65517704; 85749457]; [78290286; 39277748]; [12313606; 6198802]; [33695282; 88751206]; [70742981; 60209318]; [41233538; 42106432]; [9123650; 1557812]; [88307639; 47236128]; [17451262; 72648619]; [91714133; 56131337]; [46150452; 44904102]; [41339948; 88516136]; [43470561; 59714839]; [28404620; 2827443]; [19667814; 80641729]; [13228418; 88475726]; [38957453; 3596421]; [99329166; 61973925]; [75714146; 81819264]; [21606010; 15650248]; [17861330; 33958271]; [40933518; 65403965]; [72826181; 16244034]; [70053721; 23138266]; [53660308; 46553345]; [26776486; 79598334]; [53755060; 92260324]; [49295245; 7815444]; [58170695; 86887515]; [63759911; 23816397]; [93586361; 40110362]; [82893425; 51297174]; [90007272; 977557]; [21894522; 37072971]; [32339118; 31220454]; [87385613; 59938412]; [11479298; 35448352]; [60051924; 31188583]; [26923645; 83718426]; [24878037; 69339833]; [30412838; 46472602]; [22743061; 96017950]; [13437; 208514]; [56861587; 4569046]; [21141855; 34190273]; [36684966; 52840520]; [86733337; 67061918]; [16923056; 96216515]; [49094054; 5711600]; [86420691; 74497123]; [76288584; 70190857]; [15760371; 90951131]; [35373591; 47527469]; [15892346; 31359322]; [14971402; 89835941]; [70040750; 24675744]; [67468371; 31207992]; [200494; 12714747]; [34672060; 85384811]; [87442876; 44920090]; [10241270; 11360804]; [2909466; 26480864]; [97992508; 62199174]; [71938005; 28446402]; [23869576; 67883470]; [52830214; 92000243]; [75749284; 32573460]; [46315859; 6909098]; [39885226; 28328308]; [88262255; 67966708]; [95659056; 52417618]; [37789305; 64441253]; [99992840; 44576486]; [24731642; 636076]; [61587181; 28518176]; [70793035; 62550793]; [40379708; 10446422]; [77507665; 69275606]; [41792270; 33334550]; [3505459; 44455740]; [82269089; 50384904]; [10322694; 56242947]; [99760890; 65681285]; [4998441; 64122326]; [68613786; 45710670]; [82303600; 45480827]; [83932606; 70295960]; [72119171; 94723600]; [42961329; 20862338]; [34528052; 9796018]; [73249834; 23292744]; [75850830; 14645583]; [28290297; 14787312]; [68540672; 18874029]; [45007385; 32999998]; [82333360; 15751208]; [89280412; 10375324]; [92461683; 68083560]; [86648435; 95417220]; [74322709; 56140887]; [97901252; 58120566]; [83450874; 23617392]; [53293443; 76640056]; [4799620; 62143874]; [34461356; 5093580]; [19656894; 28271297]; [50328021; 82198973]; [18046942; 80690809]; [47744108; 83075828]; [54015860; 23533578]; [95292273; 16391760]; [75284315; 59702134]; [81900506; 13580551]; [74589085; 4478719]; [50007578; 39228530]; [67254283; 16005451]; [81693579; 28462019]; [40096671; 65653636]; [95753391; 27343827]; [80947025; 24624163]; [83407312; 7712443]; [1509218; 1408698]; [82216246; 7101330]; [31899007; 95344893]; [9143466; 65057030]; [7060229; 5018110]; [30927428; 63077271]; [96451304; 80794186]; [23540773; 91919653]; [93091785; 50055163]; [20461141; 23756831]; [10473304; 74674870]; [57978036; 14163342]; [14925674; 30546157]; [75017973; 78585498]; [13263720; 85123925]; [85449797; 87350159]; [82393757; 70590069]; [7613934; 98605176]; [50920419; 39688865]; [38694497; 41135067]; [55255205; 79050954]; [68373309; 88386521]; [71982840; 12736614]; [57588031; 39778608]; [67532627; 54377016]; [99211523; 90772927]; [81509758; 83144488]; [91755848; 66195370]; [9608475; 71551213]; [16456042; 23145169]; [84315237; 23663811]; [66314317; 59651394]; [24919178; 24317088]; [65130275; 33735356]; [45705372; 33959186]; [54007722; 65135976]; [30645799; 19460753]; [11107215; 636925]; [97073893; 17841655]; [11003727; 38486535]; [13043161; 2636845]; [1774943; 57807904]; [37939974; 68825584]; [21382563; 21669871]; [83105468; 53171236]; [14554067; 59147246]; [75949720; 19763608]; [29175675; 61729055]; [98276441; 63231078]; [11943263; 9253946]; [51758104; 10198450]; [86679766; 80279603]; [26058853; 73737740]; [23856427; 11229234]; [52271865; 70773524]; [4258594; 45330478]; [88487019; 55195957]; [58812782; 85371166]; [33674401; 5071991]; [52731520; 27874966]; [27501716; 421651]; [91009456; 62913185]; [80047106; 78748529]; [14134175; 2081039]; [20286448; 56496351]; [29213617; 41116866]; [98365; 93720841]; [13670973; 41234419]; [43916255; 47726144]; [26232554; 70843107]; [59864254; 11487820]; [29276881; 49905661]; [21516799; 31538019]; [40592128; 43056157]; [89286285; 52206919]; [75338680; 6480974]; [43003985; 8280461]; [3192915; 17257505]; [88353892; 98372816]; [13970064; 47034120]; [33389134; 92821955]; [89533050; 5112074]; [48363012; 40047131]; [48098603; 5713154]; [31846394; 37347236]; [49050147; 34968955]; [62590687; 45275345]; [39944424; 22887294]; [42718441; 99900299]; [87995620; 75048632]; [96565849; 73080799]; [27869468; 67040399]; [74613153; 58749177]; [13759255; 6834768]; [20670503; 7648975]; [98885665; 89194163]; [6226921; 7221067]; [69774348; 11326691]; [74788450; 55191915]; [67457280; 92741713]; [67151095; 89768606]; [73971167; 85325545]; [44374238; 76554217]; [82453839; 4451185]; [87499872; 65016012]; [43772226; 48416211]; [94661492; 34481750]; [46895184; 62618949]; [10874463; 22992528]; [98327554; 71354163]; [97245826; 18566158]; [96110793; 75429087]; [14973978; 72120213]; [13256326; 74183585]; [80682535; 92562883]; [69322127; 11775374]; [93010435; 71291935]; [20226148; 73806908]; [9916813; 72837310]; [68966895; 80026612]; [73314821; 5017957]; [1734120; 39826625]; [60476456; 59251177]; [65681591; 62351562]; [21442190; 45290799]; [34232454; 93906047]; [53167871; 17638528]; [75025152; 94976625]; [78938491; 61825316]; [96651702; 12761572]; [66080299; 52173904]; [47840342; 83621319]; [46516522; 77931148]; [29974757; 61563759]; [63346854; 56685381]; [24824871; 48161341]; [41321342; 76779321]; [68779262; 51301418]; [8881224; 96455935]; [25887826; 17976367]; [90470576; 27883310]; [8922649; 81060896]; [52215624; 52235229]; [63417886; 4490361]; [59516229; 9592054]; [6137465; 401447]; [31491051; 17070882]; [81295833; 54517157]; [34618329; 93062894]; [94094192; 51642572]; [4905724; 34345922]; [97186966; 65494355]; [75235326; 63745269]; [50848437; 40389356]; [91079849; 79496529]; [33628004; 76780433]; [23371888; 48105315]; [26927922; 42048830]; [78737855; 20497920]; [4475081; 12962038]; [75876204; 57598106]; [65771881; 19219179]; [56316567; 30158494]; [14652749; 57708555]; [90693507; 11332603]; [5230464; 78857318]; [1021602; 17342069]; [10623895; 77789871]; [40827887; 79110152]; [37647477; 39894252]; [95810810; 61001110]; [27028457; 88782548]; [77975103; 54149]; [77999120; 87436073]; [22374590; 32041663]; [97798562; 54237951]; [56143728; 14380003]; [79984311; 74104638]; [63319417; 17942789]; [37354431; 97278913]; [21490468; 48343023]; [93473681; 19549911]; [15616583; 96391789]; [95941201; 99523307]; [98901569; 79336224]; [52692588; 90356723]; [41115153; 40362004]; [53540637; 3442638]; [31478204; 32389813]; [37543347; 89216020]; [97143613; 54763447]; [30732159; 60858692]; [73663717; 66305781]; [61069530; 82643581]; [55727760; 30655783]; [45852197; 79026003]; [21034995; 7197733]; [54302091; 92247206]; [82003185; 16450440]; [13127251; 351528]; [58882969; 78626173]; [8923493; 34435576]; [54754179; 60243942]; [31845783; 66634198]; [53148207; 40760622]; [96917524; 47969740]; [74671940; 28343467]; [73933664; 10653593]; [82435286; 75382082]; [52885855; 62331769]; [39416438; 72824678]; [4232560; 93828213]; [76454593; 96212507]; [55287826; 47965451]; [69726022; 64598797]; [68901057; 12501829]; [30425403; 75026546]; [78488503; 84075568]; [32247061; 99996478]; [34437917; 8343713]; [35722115; 54509751]; [34654502; 55199023]; [82606664; 22808873]; [10476369; 716555]; [61603921; 25455708]; [1223769; 13596614]; [5464007; 87679482]; [41694224; 46710611]; [79833282; 42686278]; [28273195; 17354281]; [26329473; 8582522]; [21172762; 15846434]; [16970850; 532446]; [49089298; 55530725]; [26131131; 76166793]; [52021959; 48253955]; [44803763; 91620021]; [77615972; 59083478]; [22202703; 69250851]; [68983724; 46195989]; [61229338; 82733683]; [91801949; 74748920]; [80372412; 25426547]; [84946473; 26413904]; [39392667; 43141619]; [69821156; 15268615]; [47174658; 91636144]; [78836444; 27195344]; [2508879; 5019350]; [56687317; 51929501]; [86109782; 99567191]; [89841153; 90731590]; [35508470; 6197390]; [65534156; 9888215]; [39018668; 85153424]; [82640100; 62240778]; [84312320; 9963511]; [14634482; 31041189]; [57319470; 10327093]; [48556888; 1043167]; [77403551; 50186063]; [76235396; 67778734]; [87272401; 98107404]; [37085610; 73096552]; [74103406; 7492841]; [17093972; 98121673]; [81929426; 25360869]; [19751390; 97310294]; [9771858; 45432222]; [41535710; 15277394]; [9521231; 76928161]; [4364457; 5603802]; [37173493; 43490485]; [3246797; 33901436]; [9818107; 6551788]; [8673648; 49163202]; [4955889; 42303280]; [84257475; 83307254]; [12342715; 64896460]; [88557434; 94745854]; [35537188; 5847975]; [41008901; 40413021]; [2748164; 4578664]; [80843965; 80139079]; [43706607; 11350258]; [60249081; 30068945]; [79803887; 79736835]; [48018265; 25212412]; [46085670; 78089980]; [81030436; 22417593]; [48433411; 61401426]; [74932123; 55105046]; [66340979; 43489837]; [58314035; 59108034]; [39407077; 84781002]; [67724264; 31958399]; [66635683; 51385276]; [37548261; 86477061]; [15844938; 5586354]; [92951531; 51454832]; [45719398; 22658335]; [66429463; 81093912]; [52044952; 45175386]; [48139366; 1292533]; [48831210; 78984940]; [94874867; 16726303]; [90425075; 24829185]; [42425418; 18393128]; [92627938; 56095995]; [85976824; 38356197]; [65029176; 10083709]; [54973213; 12411319]; [55531142; 21809021]; [74395878; 68684615]; [7570622; 87580997]; [31605319; 32766201]; [62284214; 29661117]; [5804388; 34102257]; [21173749; 47202934]; [17578303; 34568210]; [14315367; 25006674]; [79822908; 54143671]; [7161039; 6658538]; [64498593; 55089553]; [30772080; 77751567]; [23417294; 35646553]; [64429108; 56610363]; [33674694; 97557791]; [32482845; 50048863]; [76024985; 51588613]; [81675620; 40724563]; [90351381; 94116450]; [46621724; 19024996]; [45524065; 22765181]; [77184748; 67704701]; [63999353; 69551496]; [58663980; 14959009]; [65038229; 91491225]; [73516339; 308975]; [59589127; 65409353]; [81897686; 80298492]; [57179512; 85762840]; [30563044; 50396296]; [56113639; 92840622]; [75338773; 49551941]; [68391067; 75567725]; [55268615; 3807381]; [60153610; 11089951]; [16144877; 67288936]; [29004369; 68043353]; [64410778; 51632113]; [43773559; 95234616]; [77905368; 64169023]; [93031082; 73073641]; [75601806; 13138106]; [4310007; 54401336]; [13487140; 59683687]; [70376382; 59848972]; [35145227; 51945375]; [58636734; 89665421]; [25977841; 18210961]; [13558128; 26431732]; [47150801; 96324512]; [92677373; 4517921]; [65249172; 11853084]; [12902944; 76620123]; [95143091; 35513127]; [81819194; 95251038]; [80364511; 73128969]; [70595465; 76217152]; [769423; 1673196]; [87921861; 49546494]; [53642960; 80642288]; [62525730; 58789938]; [48922325; 40011191]; [53244664; 411065]; [14611243; 74578960]; [63431231; 20884771]; [87847670; 13271551]; [31677760; 67499459]; [65364999; 13077161]; [54797241; 61939059]; [27871008; 28867487]; [8063956; 69896369]; [59980523; 27714404]; [13058016; 81993375]; [48710845; 3721142]; [85302534; 7311969]; [54767425; 99526354]; [7700473; 4720301]; [32277748; 50473931]; [19130720; 37268549]; [55909947; 69168771]; [67892127; 38230963]; [4810401; 40857888]; [67288350; 85394358]; [31255901; 11123183]; [17493266; 61172573]; [20553032; 58521935]; [20428707; 18361922]; [2868412; 47242095]; [84820334; 65627670]; [38794010; 60267367]; [88540737; 70889962]; [73340504; 65344371]; [27997291; 16684068]; [72382650; 62253774]; [35299319; 63531832]; [28692015; 46499368]; [93971081; 31133967]; [93176074; 47412485]; [46783950; 50341043]; [82350819; 82799781]; [5798664; 68447942]; [74947187; 47315111]; [41157099; 25059804]; [65246196; 1162367]; [44819675; 60675374]; [25135528; 551565]; [90127881; 13400789]; [79930228; 79941915]; [24697978; 58900963]; [6149756; 80877268]; [23647216; 37107271]; [94879893; 33140210]; [83534325; 61916813]; [50693774; 37135170]; [32769394; 94704915]; [63900935; 24704143]; [8244926; 25716612]; [41559638; 45004828]; [25594772; 18254675]; [57977668; 54121279]; [39888464; 3747749]; [6129174; 66757432]; [49327178; 77062395]; [82199294; 49220326]; [8486457; 22501132]; [94401608; 25761529]; [5639203; 14556926]; [18042305; 45963762]; [63586667; 87478755]; [84534100; 37417296]; [14510137; 80826900]; [7613545; 20556009]; [81045042; 811849]; [86640136; 42292760]; [14483881; 49362645]; [67013064; 22390156]; [40710145; 77268249]; [80952056; 88238291]; [29791410; 18808923]; [41536264; 70386472]; [91650439; 61461495]; [47033610; 52284317]; [34801393; 30683864]; [1053180; 82204838]; [15934271; 25065633]; [75426055; 36756522]; [73679911; 32826747]; [44018942; 52331328]; [40847011; 47204870]; [90419687; 30138845]; [11458631; 55680262]; [59522601; 29005161]; [81484929; 59480932]; [76184473; 69273263]; [26746763; 24647695]; [28808142; 11189883]; [35639769; 72601371]; [93115965; 28413289]; [53733432; 52344627]; [11619004; 34081119]; [75837576; 15133651]; [47361538; 65889]; [10494574; 31348162]; [96507248; 97501983]; [50650890; 48294250]; [35375369; 47330783]; [36096564; 21476868]; [21815956; 62807730]; [30365798; 51162782]; [71157610; 39209829]; [52195101; 28873437]; [50794441; 97041756]; [88117890; 15167194]; [16113936; 63937913]; [64615939; 84027553]; [56954790; 74196982]; [56220996; 39777892]; [2433657; 25804191]; [47962273; 38413091]; [48624500; 6254657]; [70614370; 51230457]; [11456702; 15098465]; [71162761; 22757709]; [79024269; 94256009]; [3933927; 62996700]; [79292382; 88390107]; [48143628; 35547589]; [24398185; 61812472]; [57180192; 2130076]; [32036330; 48371670]; [45246347; 88686261]; [8625931; 37471829]; [80259131; 23385524]; [13318756; 58718607]; [36067742; 38633243]; [59800412; 10135812]; [66684368; 45134863]; [76580364; 47583323]; [25571389; 63072973]; [71911268; 61472843]; [38719495; 97096421]; [82848508; 15386580]; [67242401; 37625859]; [44935643; 4795332]; [60602284; 136853]; [13154552; 72019597]; [96098983; 39335585]; [90291942; 33313323]; [34392203; 38605041]; [76013008; 52264700]; [73364908; 3321279]; [19297857; 82613606]; [20354854; 16308025]; [32231361; 73627734]; [54551652; 16818001]; [45202293; 81681665]; [80221850; 50864121]; [95999710; 69968424]; [40028841; 54689731]; [65283326; 21005089]; [3340623; 49503687]; [60749521; 27384437]; [63779067; 73470066]; [56205887; 97700077]; [58375824; 49775076]; [68487350; 9674420]; [19122623; 43894657]; [64362783; 28718301]; [87217716; 66382045]; [27179486; 60745404]; [97248234; 27646444]; [71747514; 2265804]; [58724726; 58793026]; [94272220; 34643968]; [51924192; 23216276]; [68329999; 52356677]; [28205215; 57415589]; [49778249; 25580547]; [46032247; 68191791]; [22909696; 84987573]; [39517767; 66855961]; [43756126; 29739945]; [43929738; 51844641]; [77653087; 38249614]; [96125240; 13615361]; [34896370; 67262984]; [14532101; 32974662]; [43983815; 36857392]; [65307918; 80671824]; [21846230; 6356233]; [76106926; 56626030]; [85840942; 83161415]; [31308550; 67387437]; [55805999; 42088047]; [20752705; 87453795]; [30535359; 93188693]; [79805534; 98245518]; [85677093; 40896839]; [90108178; 56991821]; [2930041; 92308285]; [809578; 49791437]; [41462124; 19104239]; [5137977; 20550112]; [17694742; 99476515]; [74912688; 9648945]; [87628601; 87567782]; [99247644; 86488047]; [47984160; 31101570]; [51895764; 42021161]; [83545953; 72408299]; [94118633; 91903269]; [73095322; 4173879]; [97836337; 14353067]; [3703322; 18728530]; [20638401; 43725719]; [34272345; 72698847]; [23478015; 23713256]; [54065895; 95128590]; [62077618; 43899351]; [26428163; 49386934]; [17008153; 22645740]; [12481680; 90734795]; [87570693; 96242684]; [16423689; 61803350]; [34056365; 59765618]; [5745106; 28274445]; [8362645; 68033199]; [41086781; 40902648]; [67074688; 31003533]; [20079966; 39835821]; [40414230; 44057454]; [58930622; 40651159]; [38924024; 136438]; [50694735; 38752889]; [98962421; 65835058]; [64651969; 49215746]; [82301091; 89687164]; [7549954; 57486928]; [97503095; 31963447]; [12409611; 34189983]; [19081402; 96991363]; [45487732; 51037962]; [7013230; 1000250]; [17883431; 24883690]; [21123825; 40811417]; [23824280; 25716430]; [91550442; 83959458]; [20456938; 22571296]; [56605344; 24296444]; [4214964; 91707102]; [10268891; 1069290]; [89898336; 64522748]; [939125; 20038846]; [26359410; 82330759]; [87678479; 55324062]; [83835387; 99472328]; [80205266; 43043358]; [27278175; 40082358]; [31553219; 7123921]; [87220225; 54353503]; [49173045; 54442522]; [36849563; 82461711]; [25385054; 87593823]; [73963763; 7808571]; [31217274; 6454998]; [92286605; 29698540]; [21482243; 6662004]; [72994709; 3389282]; [54423796; 22902821]; [71704896; 79500404]; [93618412; 32395802]; [50622747; 60624975]; [56357031; 35601050]; [36030289; 64116180]; [85834701; 32688126]; [9048599; 4498376]; [13458020; 22479369]; [79719662; 73455611]; [96502324; 41822789]; [66903265; 39133796]; [45187171; 69549902]; [55092744; 63888176]; [82218125; 33030464]; [56594741; 9628180]; [15487966; 4240826]; [43258234; 44761915]; [23182435; 82748643]; [33126162; 81281875]; [68378212; 57058247]; [9409431; 14332646]; [66608230; 41118390]; [45239836; 12397925]; [39324538; 66781229]; [46340974; 96820893]; [90787244; 9733791]; [31867462; 86113524]; [19612513; 2483913]; [58438162; 8229127]; [3639160; 57551555]; [4142639; 42613847]; [13595306; 37396716]; [80888423; 22303952]; [42933186; 92396035]; [72271558; 48048933]; [90489318; 31870718]; [1685039; 94439150]; [66846925; 65352899]; [16346620; 60178391]; [5889673; 43017551]; [77683774; 9783148]; [72000978; 25595576]; [30807740; 39235680]; [22662392; 31600289]; [56697720; 17529759]; [80364577; 58486645]; [12179917; 26593959]; [34012443; 28292151]; [30508249; 7578438]; [68634174; 77736207]; [48995881; 49467100]; [99239669; 10194101]; [37993670; 60850626]; [79452816; 48083225]; [35751749; 58274262]; [57819293; 98329203]; [35612537; 26801633]; [76890790; 21798069]; [60124680; 11348898]; [7590267; 28379033]; [97365110; 50346527]; [55532879; 39504351]; [17342319; 65359018]; [29819897; 69054167]; [98379373; 54606991]; [56014452; 11604241]; [54958017; 76373019]; [4575065; 73456723]; [63993398; 30309341]; [29380781; 85320843]; [4296310; 15004317]; [24276591; 13643535]; [90735488; 22963810]; [74298498; 43272037]; [49175611; 15091522]; [54423315; 1034744]; [70560564; 17184814]; [44089346; 79868668]; [58490255; 19010097]; [30199723; 65685697]; [46331817; 84349548]; [34688753; 3482960]; [99123218; 47474486]; [72870203; 20681456]; [76341423; 8376840]; [62949798; 48318062]; [37659401; 35610429]; [41023225; 25730962]; [68932685; 96376677]; [40618984; 47250459]; [79949634; 82234024]; [43843867; 89878361]; [71099960; 81357259]; [8136058; 58572747]; [14772772; 67633818]; [7505284; 82295717]; [82114907; 11727234]; [23268292; 12790983]; [30483966; 65541425]; [12905751; 46833742]; [31761383; 12690159]; [47836106; 53509352]; [7088537; 39671022]; [82659646; 60197726]; [9139492; 11003390]; [12896632; 53864562]; [63684100; 25141478]; [38245798; 64100206]; [14419574; 80187198]; [15772895; 84371361]; [93739939; 62495375]; [2613261; 34142701]; [51440899; 61180864]; [60721835; 50748795]; [27568268; 39907963]; [60630302; 41513382]; [58523722; 79343443]; [99158200; 61750129]; [5574451; 61464850]; [22991264; 41894222]; [94413230; 28085456]; [175480; 92705082]; [55692444; 15474032]; [2390583; 19056637]; [45555611; 58999150]; [21095085; 8702013]; [58920386; 17034755]; [72142295; 43481831]; [20491775; 23693770]; [64127643; 89953417]; [3458604; 48162795]; [52160834; 57240992]; [79545869; 44607646]; [83798399; 69262415]; [33137367; 88620610]; [240383; 60841504]; [33926906; 85630898]; [88005709; 54625290]; [5101315; 13591392]; [83645320; 42241482]; [2074371; 18426238]; [542142; 19258188]; [60720092; 85607864]; [43860782; 75331180]; [51744181; 20196541]; [93386781; 81042122]; [20496370; 40884281]; [22430138; 71435980]; [70574032; 51822555]; [22034938; 82141276]; [61809847; 13142525]; [69185221; 15935416]; [22091874; 43932125]; [58889930; 47518544]; [72306602; 18311973]; [87670786; 32563681]; [26468429; 52880295]; [88518198; 61049993]; [97654559; 20964462]; [15415693; 63607133]; [55834506; 49068416]; [76990542; 27525408]; [46238188; 45133631]; [34254963; 54661074]; [55482273; 60478652]; [72187785; 1992611]; [84912638; 5035804]; [65089462; 47619753]; [77244954; 76653235]; [27594319; 63089347]; [19076032; 55277885]; [20554176; 63443443]; [73051928; 70978122]; [7794478; 33007656]; [79449259; 3130998]; [28699314; 62368518]; [68336774; 52752231]; [659601; 14228792]; [30465392; 84698171]; [72848461; 32791231]; [34318306; 19052160]; [52326589; 7098430]; [21242920; 8977906]; [6607351; 61171355]; [12166378; 39544559]; [32470365; 49763219]; [77918158; 44757053]; [70999954; 24467303]; [18448110; 19473898]; [31961575; 77933391]; [54162976; 10793755]; [33161916; 33605054]; [53407070; 51452923]; [75403987; 5550030]; [54033519; 21626602]; [65996640; 72279423]; [61247843; 85632028]; [70978127; 48842696]; [88026356; 11718862]; [45869896; 9473157]; [70031843; 56425552]; [52099787; 66493383]; [54712144; 39762718]; [70666763; 80895191]; [85996894; 48753175]; [22703749; 61075664]; [94479870; 95018483]; [92741018; 46464316]; [29028635; 94092789]; [47038790; 98546459]; [2113121; 81392552]; [3656443; 48728726]; [8744268; 28969798]; [11074188; 92656299]; [13509239; 21095269]; [75597097; 35009658]; [50825834; 63148953]; [58705940; 34551636]; [32932318; 69216295]; [1893034; 96113560]; [79013233; 24709921]; [14827691; 52280288]; [44508378; 97399153]; [739900; 41320822]; [42327156; 85199935]; [4992164; 39895560]; [44839448; 9076156]; [9632204; 56999956]; [1132018; 72286906]; [6434795; 81317812]; [62858345; 84937973]; [1422499; 6491318]; [35756600; 12361649]; [59095596; 60000999]; [26380234; 19810448]; [20254994; 31320817]; [87068175; 47421275]; [40086476; 47854128]; [59859957; 2426242]; [23761208; 29667183]; [73253340; 55192803]; [61580752; 72759919]; [86411014; 57335694]; [9611043; 94316805]; [44742157; 28138961]; [21234066; 23460441]; [45897553; 37831696]; [53014537; 96204005]; [96136122; 7017179]; [73867345; 95285497]; [44057069; 76032212]; [46548199; 19757368]; [94284580; 37941144]; [22489500; 12642112]; [38664420; 47507939]; [34063319; 2592366]; [94778190; 86476368]; [30542961; 86837014]; [96216098; 89951058]; [79609967; 74646916]; [91808428; 78970299]; [6078023; 79626760]; [82937535; 81922688]; [7346000; 7952046]; [85009603; 8967034]; [23262433; 57416510]; [36690306; 57319331]; [67597133; 85367521]; [99213256; 74849738]; [86850365; 48328653]; [55969701; 5396387]; [45631484; 24990752]; [75653829; 79608060]; [88865; 18599064]; [34352800; 60082822]; [36308570; 50883093]; [64838109; 47947346]; [51119111; 96881161]; [39471460; 45519760]; [16631625; 95322309]; [94512946; 29306197]; [29273219; 50521401]; [18661018; 46160331]; [27764680; 51075500]; [86709328; 94110842]; [16477612; 78694316]; [71924332; 19900366]; [52488788; 57451601]; [73562602; 50373550]; [23929939; 47261916]; [42796927; 97538039]; [58262291; 30719158]; [72212361; 58849477]; [75839682; 47134633]; [99289437; 99042508]; [42400955; 87388661]; [95058949; 81430597]; [95905316; 597739]; [67838049; 22968884]; [12851438; 24363948]; [76410918; 20308551]; [42161464; 90193170]; [63036250; 15028715]; [28745687; 38661999]; [54870118; 82142766]; [92354007; 87161407]; [7616358; 36152836]; [34164622; 94581470]; [3079933; 65036678]; [61230459; 18106732]; [20180830; 34415866]; [93264707; 13152367]; [81338573; 99452099]; [4779305; 15469300]; [87086752; 31626]; [17254734; 48772004]; [93604047; 48347450]; [79241565; 96445100]; [94992774; 22805729]; [7451316; 88109539]; [19240197; 25336565]; [60942572; 31731796]; [43931760; 96416036]; [75271998; 11932937]; [47186317; 79561279]; [46765458; 89327836]; [31371109; 95611360]; [71566559; 40952833]; [78324233; 56565905]; [93217386; 25992362]; [23686652; 30311946]; [56442368; 85533437]; [14152302; 62256110]; [87496585; 3217282]; [90246085; 92557425]; [98061238; 25215672]; [72376007; 14247688]; [18802432; 63077787]; [84864677; 61591232]; [37555792; 57765798]; [79257418; 63576137]; [39563168; 15877194]; [88183923; 15516310]; [92617496; 68493103]; [8042801; 25289295]; [96007950; 9706659]; [13849091; 13494036]; [74897786; 12756248]; [86419851; 32669634]; [72442172; 48529302]; [51683412; 21644041]; [33872070; 79723607]; [44550237; 28630584]; [41097181; 8905596]; [1124080; 98872739]; [61423; 14469665]; [47483794; 37432202]; [38152496; 35118660]; [1667583; 89939339]; [14603442; 94300545]; [14260244; 50927622]; [99285941; 11097966]; [60047204; 15704452]; [99038420; 55547487]; [78109044; 31799481]; [75624984; 30054089]; [52495399; 26031034]; [20108676; 47054521]; [59130216; 76102196]; [55513351; 19662647]; [88718004; 63681089]; [44126869; 44011814]; [83762458; 95131066]; [30320639; 24275753]; [92382144; 85196468]; [52889507; 44249735]; [56110938; 41055617]; [13896217; 77819575]; [23370934; 50205575]; [92907582; 87267619]; [3460303; 45361481]; [99914939; 39326549]; [32850696; 58136320]; [87766679; 3887588]; [68007431; 89649746]; [45592910; 51239117]; [67492709; 71325530]; [76658376; 63216307]; [77521974; 30299359]; [72381744; 67931769]; [4621135; 54462189]; [64295415; 90308066]; [44801326; 75858038]; [12024161; 4062086]; [82146464; 49335099]; [85715120; 19588079]; [21938255; 97265445]; [88089691; 99282806]; [2558399; 6176533]; [67254788; 68973882]; [46539780; 67026008]; [88401250; 56132993]; [59155233; 51954865]; [22534406; 77166687]; [94721666; 39946302]; [63658510; 99455204]; [21118264; 18823571]; [92941158; 82104535]; [34562499; 60753816]; [15636466; 25934856]; [55420245; 50576917]; [49691840; 37342206]; [9441213; 36025684]; [96748867; 24289126]; [15210220; 12755739]; [90278117; 5598756]; [92555132; 4414731]; [3416339; 65636132]; [88300274; 70635240]; [68080553; 63403691]; [14679159; 18547883]; [4353791; 53693195]; [74971646; 16185433]; [3647971; 19571790]; [43348380; 43256126]; [38806161; 67667867]; [7963454; 10222188]; [93039230; 92561245]; [51590761; 69936590]; [55661796; 20993834]; [48224257; 20460741]; [43877188; 98865482]; [81325757; 57107229]; [39811601; 56065257]; [11458288; 36437440]; [47235495; 77531341]; [48762029; 16528480]; [61400131; 2281855]; [1169737; 68061481]; [93719237; 21260062]; [71944726; 15088894]; [54685137; 15661111]; [80024764; 91014368]; [57795482; 94313049]; [56785569; 54512756]; [56444784; 80006574]; [48113152; 58698044]; [31543532; 52319595]; [26553757; 71955705]; [11335879; 94193753]; [81012587; 52640039]; [68342816; 82868534]; [93315828; 87902309]; [83543506; 42081654]; [44782410; 58834604]; [48810572; 75581824]; [86808186; 74269186]; [8953964; 36212729]; [24555177; 50362769]; [28923049; 84367601]; [64785614; 15112913]; [98898660; 10728818]; [39580410; 19617497]; [77426845; 18378819]; [94223631; 93718388]; [45893230; 24159267]; [17637336; 98555393]; [21280827; 58703850]; [42149866; 57773838]; [23662311; 42048100]; [94151977; 1426444]; [91987282; 59812714]; [4921568; 59581157]; [77298676; 24033743]; [97462642; 85854625]; [55057904; 24405533]; [18581858; 75562536]; [36214704; 65385606]; [834337; 68696520]; [20725441; 47281708]; [14685708; 1693784]; [38098930; 51460752]; [57216654; 14873311]; [331276; 15795317]; [32336631; 44109200]; [15413817; 34203421]; [21960001; 93254154]; [4701033; 36869905]; [87098873; 46099912]; [25276918; 11353847]; [76352363; 27404744]; [66334763; 26575623]; [8105478; 43914255]; [69303962; 2594189]; [38650274; 99917074]; [41316302; 97739368]; [86691356; 57991935]; [75048742; 11166236]; [94537505; 17675601]; [69390202; 25042714]; [50027731; 26471666]; [63810984; 96293348]; [9511765; 79256099]; [80873484; 1998014]; [58513034; 32031782]; [14312901; 14952352]; [48913408; 89459946]; [85527048; 17016791]; [85336864; 57191215]; [62355917; 95687652]; [4474411; 29569278]; [63208766; 45344889]; [47363901; 49111511]; [79564550; 65700437]; [82722141; 31427643]; [94138540; 86255497]; [27427988; 96623726]; [85682122; 99230932]; [63479733; 41883932]; [24060349; 92600242]; [16205704; 73781894]; [12679367; 88783330]; [91915965; 3343714]; [59515420; 82390096]; [74586779; 88699003]; [99107347; 69289592]; [20185057; 62250415]; [66066051; 72957082]; [90623695; 49640072]; [53066753; 14720179]; [78982590; 56151839]; [90577812; 57016725]; [90731751; 99764558]; [60024239; 13470232]; [63153966; 73473620]; [17884199; 79917410]; [80649819; 28042420]; [59870566; 29168013]; [18653643; 44861045]; [58159707; 15908417]; [8902337; 53032910]; [96715718; 47718886]; [38388094; 48964169]; [23023402; 95316192]; [3062631; 37129784]; [47439863; 49851138]; [5338759; 34778147]; [26769280; 63619482]; [82461032; 34066266]; [58937710; 34425885]; [79662974; 49437161]; [46488687; 2731692]; [36036813; 12562475]; [56627132; 37419762]; [27713583; 11094709]; [28623307; 93122593]; [42154328; 96573265]; [25169475; 49130656]; [66057331; 77198235]; [45516911; 22671331]; [65907545; 17858985]; [53104319; 20385269]; [72669872; 53145269]; [3959172; 10974275]; [40440797; 38693597]; [20129943; 61387953]; [85329850; 1588232]; [64758139; 98729410]; [5836978; 38783729]; [86095767; 47607945]; [86011921; 84559185]; [55022381; 34912527]; [14464331; 72675542]; [49268256; 94179051]; [30850235; 72542605]; [95179932; 19780545]; [33798442; 99395467]; [62276447; 83934550]; [35565941; 22221955]; [57248654; 28719622]; [55002111; 82595486]; [10462043; 80915106]; [50236244; 60997672]; [10626353; 36154413]; [96779344; 74550991]; [50234971; 82709691]; [44637403; 30595731]; [60364877; 17057374]; [12967034; 81471006]; [62590353; 89903905]; [47588386; 62363027]; [57927483; 57046437]; [31640799; 30401743]; [27072397; 11419251]; [57508825; 60275928]; [64852781; 35012053]; [7407528; 98150425]; [34341458; 51379826]; [72618970; 94458347]; [19538017; 22504319]; [3833099; 37282766]; [71325392; 20812229]; [86658340; 5372543]; [57701132; 70375410]; [75344552; 36997965]; [37329153; 55516983]; [26504579; 20480864]; [77746061; 44993113]; [6254200; 21473054]; [48046453; 3277912]; [34365923; 52409027]; [14161755; 31694221]; [85780247; 65136896]; [14084207; 90033819]; [88184898; 78545313]; [84878481; 22548798]; [44598526; 67277408]; [69993083; 91567253]; [87356744; 96692339]; [54689004; 4409941]; [42922910; 68547762]; [99140807; 65557058]; [2179160; 66653713]; [91678144; 26920015]; [46140358; 57612932]; [67740383; 40033790]; [16103184; 69838690]; [5373808; 63644956]; [19381117; 27363834]; [98268694; 67248376]; [3246853; 40252773]; [56368363; 2017559]; [4364838; 92939246]; [36715156; 14230572]; [76548369; 29531932]; [3361665; 5466141]; [40339553; 85518834]; [84958562; 96348826]; [86147010; 97712598]; [63549542; 9178713]; [15102815; 41593655]; [63121174; 54864705]; [2941987; 10061729]; [65146306; 15371600]; [98704643; 78174884]; [97249074; 39959467]; [25543257; 73949805]; [52929873; 82832928]; [38185214; 86695304]; [61369516; 88026909]; [32513674; 25718750]; [30451338; 36723494]; [45843701; 54597355]; [44973061; 33277512]; [25676840; 79752100]; [25184804; 94645064]; [44630038; 14462098]; [22624862; 26304535]; [71623809; 58188036]; [63920882; 74947973]; [16135030; 2511499]; [29552644; 90180050]; [91611455; 83256923]; [33599337; 84201661]; [47131694; 77237932]; [16695261; 22397828]; [50731615; 34619357]; [54642039; 68542491]; [79301055; 4518836]; [80822669; 16813786]; [59774089; 17523336]; [40286175; 84163236]; [57789689; 41276253]; [96158944; 14987594]; [73451609; 64380778]; [51407567; 23529400]; [72506736; 54552276]; [80868670; 69286779]; [28187580; 66992457]; [53665079; 47966168]; [43389039; 54229651]; [88234404; 89489967]; [36533085; 95755168]; [24550258; 84240524]; [83617312; 53760240]; [49702330; 68009521]; [70784805; 97621267]; [20976370; 57389547]; [36067367; 43157116]; [52962117; 98498664]; [82850047; 41523019]; [28248068; 82968086]; [72940416; 82500785]; [24318498; 90777552]; [16439004; 73690142]; [41683266; 14173725]; [94732433; 18299911]; [55084784; 68904326]; [41612281; 81790943]; [90664879; 97325174]; [17859; 62389459]; [15195285; 61535714]; [18943575; 15651569]; [57940887; 39300422]; [52247320; 67634091]; [60807234; 25412428]; [21126753; 99568826]; [71754997; 38530634]; [45088025; 19946051]; [37207038; 94033146]; [90964799; 62348457]; [31148625; 90496544]; [93904773; 7249705]; [35369428; 13877703]; [63853212; 1807363]; [36709685; 87540881]; [5912660; 16996631]; [68672296; 64729464]; [76346738; 8980828]; [28303964; 91388965]; [91802860; 29736376]; [38127472; 63343106]; [46196611; 16780119]; [39250062; 32461402]; [86289593; 43883089]; [8987644; 22940658]; [32762922; 25474879]; [81197777; 83889607]; [77921727; 82206695]; [89730378; 34002955]; [28859125; 31803643]; [90979484; 55000977]; [28407872; 28265625]; [42263897; 30122783]; [47457193; 33732713]; [40711696; 50102037]; [56824062; 595334]; [30715383; 97885750]; [37654831; 84174123]; [64245796; 47964637]; [25030892; 88956010]; [57765181; 46542558]; [87198194; 58130016]; [81863042; 92237139]; [88299035; 37350228]; [60806004; 35609242]; [85952207; 36390873]; [2030720; 49091820]; [20378313; 73367767]; [23499180; 67170871]; [80871117; 78189530]; [32792335; 76844139]; [84290174; 33752376]; [16756676; 35324412]; [499143; 25026099]; [59863188; 41161849]; [78487801; 1524727]; [52828197; 23385369]; [50191392; 89475565]; [58898642; 46679552]; [65460236; 80015510]; [60126109; 94891981]; [29003269; 24766841]; [82926724; 41302295]; [73155396; 28833147]; [60317660; 92441072]; [15813775; 41899517]; [67356100; 13592132]; [66597685; 72217691]; [91388424; 19538270]; [35480785; 47344097]; [89506814; 23566370]; [96608535; 3943931]; [91878721; 55301262]; [9694884; 848334]; [70410499; 53751157]; [4190556; 54561053]; [10100267; 30280154]; [88596015; 19603354]; [79652099; 51354259]; [50220150; 50500141]; [89935739; 62372706]; [45985968; 4703481]; [22135792; 67624589]; [6322156; 11589630]; [79255590; 59471156]; [57421684; 4967391]; [33950386; 24510747]; [67208649; 29401648]; [87551833; 46985155]; [79662635; 85961590]; [9256120; 26634670]; [15159490; 65330122]; [95947426; 94885878]; [87306794; 59292725]; [2861009; 48208579]; [32642171; 67240951]; [85981326; 64960110]; [42386062; 74902297]; [72306384; 41686568]; [37215781; 7476186]; [97947448; 21697946]; [97609226; 24171422]; [85822098; 33155181]; [29734725; 93746941]; [21434476; 3941654]; [5109035; 90652031]; [49692010; 86633847]; [75290927; 9580439]; [41054900; 34812115]; [50739013; 2764285]; [96647294; 63159615]; [77422795; 34398678]; [73588320; 33516708]; [37351079; 10524466]; [36083285; 71997093]; [90265337; 82212717]; [46526724; 19425082]; [69996331; 87050927]; [75624733; 80976433]; [70772052; 3352479]; [2180631; 65835930]; [58925443; 57263776]; [14274043; 85649227]; [72463241; 62785433]; [95277679; 6238414]; [7077590; 3048317]; [40487671; 7960446]; [56527360; 38765807]; [47013776; 96787196]; [19033035; 36444851]; [83158364; 13479414]; [75315372; 34177421]; [57856288; 79275014]; [54749053; 53340865]; [24182763; 56050917]; [67079694; 21427923]; [20477858; 2471468]; [31224602; 15748847]; [8035395; 68181675]; [72645767; 49812383]; [17993017; 42054462]; [2297651; 73093906]; [80992662; 39465050]; [20259332; 37089699]; [10603309; 62300067]; [14079769; 73718083]; [5976332; 70900749]; [50312052; 59675436]; [31753381; 20844818]; [17589075; 23132433]; [66206269; 85180198]; [85890520; 83893581]; [54454074; 47391246]; [79595962; 38583370]; [43184982; 10728948]; [93010805; 69771811]; [99645263; 93861817]; [58992063; 74156362]; [83914356; 91357347]; [63942480; 63782873]; [95357150; 39589787]; [9803551; 71399764]; [425850; 47220107]; [9348663; 94285076]; [12385773; 19083972]; [62851557; 83616598]; [65463087; 40689715]; [79048023; 97862704]; [38821693; 33322494]; [84609486; 6427728]; [17248802; 90810371]; [51360815; 64852372]; [16332085; 86009142]; [63166860; 88421964]; [31353396; 10705821]; [35050389; 68005867]; [22156808; 60447329]; [26133982; 64264336]; [88964991; 44545830]; [96633649; 25208626]; [81621331; 531238]; [59906235; 13929648]; [26987769; 90843947]; [52276986; 90422637]; [91136554; 68689773]; [3897313; 20585469]; [53555789; 69976143]; [40054599; 72310238]; [86485931; 74420776]; [47573776; 47960430]; [3249023; 20378739]; [94907774; 79985891]; [73923586; 70764411]; [7176386; 83785154]; [84962906; 18043615]; [89089813; 37694218]; [36584145; 55196846]; [83007666; 83491119]; [31566433; 18815237]; [17825035; 70394204]; [11735988; 44222854]; [75897583; 852371]; [38635248; 89995595]; [60350367; 91439929]; [42651824; 69614046]; [51886685; 95631678]; [58885302; 82172584]; [1972708; 87204527]; [27180245; 74231103]; [84303915; 38762109]; [27265782; 15634610]; [22342854; 25499087]; [10466528; 74138282]; [86531212; 2414915]; [40933917; 77431722]; [4206469; 89190488]; [34611493; 47841233]; [1851923; 10777849]; [32840525; 4684983]; [92444863; 962074]; [89021557; 38811262]; [36383362; 61631661]; [88164902; 4449676]; [57931600; 10002251]; [3188143; 95504125]; [96510037; 33956545]; [28880328; 69786382]; [48651734; 49771663]; [49555318; 81508938]; [92336139; 78473342]; [38634571; 93982393]; [62192597; 38631635]; [51894612; 87392331]; [5663108; 65172479]; [38305418; 42628745]; [86731818; 7747234]; [36471067; 10293766]; [98777170; 34894880]; [95040286; 66355912]; [77535464; 59344150]; [5484860; 80863499]; [45811178; 90680755]; [54949498; 83593633]; [31675416; 71356693]; [955961; 91395536]; [32236535; 49744930]; [58744949; 24707118]; [57107013; 41185186]; [33609250; 94812838]; [88934401; 67078808]; [84510945; 61077749]; [71839033; 33164953]; [44938096; 44705333]; [8967934; 78610040]; [94003723; 37523326]; [64384097; 49999888]; [63506460; 68895568]; [9156529; 58401333]; [87541648; 76472688]; [35550639; 40287766]; [73373839; 72889844]; [40047374; 20705658]; [97077567; 37039074]; [88147061; 72771690]; [11381748; 70961246]; [2315145; 53504086]; [77062488; 92550338]; [70230832; 94179496]; [47622253; 81150881]; [74008008; 77897108]; [81536063; 29992919]; [44079795; 15240436]; [67171779; 76921622]; [94232902; 27891412]; [25479545; 69778133]; [95257298; 14827313]; [87526811; 6780532]; [60831311; 50497812]; [92313423; 44733786]; [48025565; 573096]; [45724841; 52711345]; [9803725; 77904795]; [90368909; 32846338]; [61321468; 71993562]; [9943580; 8558571]; [94727978; 20218801]; [52586475; 30428787]; [58701529; 98108760]; [60287748; 34864890]; [90909656; 65915813]; [68707608; 27576361]; [13899568; 67072378]; [25741408; 99315235]; [40729923; 73702103]; [97598903; 90301554]; [76888399; 87196792]; [24159801; 59782231]; [64958269; 61605054]; [65930380; 97623872]; [51222830; 84710987]; [59509210; 93032660]; [42402739; 59898562]; [5036561; 3208924]; [5068209; 39899006]; [69047942; 84085964]; [23086816; 23403922]; [32038907; 80232163]; [59664130; 38592256]; [26361676; 88691813]; [316360; 59819927]; [91028931; 90123361]; [28366765; 61572701]; [37868923; 50425658]; [52224221; 99311379]; [72175730; 46177729]; [75939743; 84846473]; [83578889; 93318328]; [82231075; 63460483]; [72003790; 95566796]; [3181347; 31082966]; [95952122; 47917895]; [12032269; 97617650]; [47005670; 71153840]; [72010628; 95591318]; [36187867; 77357477]; [50507707; 33077588]; [24550342; 854492]; [54518556; 94795066]; [61857497; 26519694]; [20602258; 46546008]; [89424084; 75521302]; [20213570; 10060982]; [64148904; 18702977]; [90951629; 38773443]; [55384565; 12743323]; [22410912; 94725336]; [28773623; 9863636]; [26459620; 94528381]; [7435704; 50132674]; [82672384; 17731635]; [92921239; 16025683]; [85148661; 86051536]; [63558159; 80983850]; [75801248; 64792782]; [62442971; 14420810]; [18416077; 33707370]; [21561985; 83971115]; [50881574; 56853995]; [29141866; 45049547]; [54730460; 30522635]; [38554637; 55873568]; [97240031; 61040132]; [20407265; 66691071]; [44277542; 47968734]; [61028813; 28340587]; [78153837; 88042223]; [57607893; 77469920]; [41027566; 927881]; [70818860; 51272742]; [55913257; 82914003]; [45673581; 3572884]; [89010281; 87135761]; [59492460; 66933497]; [91199744; 77955783]; [96338233; 64907527]; [55516858; 30609496]; [36001843; 41566354]; [44958116; 26158781]; [33204057; 21098731]; [15895143; 74194136]; [35856257; 32111474]; [60861087; 56097997]; [28161877; 8896568]; [3094820; 85475941]; [58489754; 62471052]; [65339847; 40596926]; [39611462; 90144282]; [53196134; 45296866]; [65819173; 78206680]; [54281247; 19946750]; [54305616; 32555476]; [75431212; 96648832]; [54057072; 84088332]; [37501044; 17601802]; [88989717; 82906195]; [7726768; 26165074]; [72031582; 33454340]; [90263156; 37547391]; [80202168; 94415353]; [26492118; 18751107]; [21080261; 87594848]; [30051160; 15756788]; [12359690; 15750442]; [16272749; 47637754]; [16158456; 13493478]; [60107219; 23908223]; [60603188; 91087407]; [2059165; 56017726]; [95381872; 18647945]; [92479546; 65589915]; [31150389; 90678086]; [47634930; 32288505]; [93429202; 51343540]; [90825626; 47440313]; [70760764; 54783156]; [87080510; 37121004]; [1289267; 40445395]; [28983371; 36296543]; [68134992; 69244002]; [97729028; 34681594]; [69921942; 35088608]; [23751227; 90671282]; [27376253; 68515137]; [48023188; 62990932]; [33612614; 85978612]; [41674517; 44014398]; [203061; 60121006]; [27121905; 64201841]; [87633302; 62853410]; [77718354; 80099550]; [88333467; 1851992]; [71091576; 5921037]; [19217710; 89209323]; [42596422; 17400006]; [5923524; 72980655]; [58735134; 69656721]; [83371113; 89313333]; [61933287; 7979726]; [16533997; 75100409]; [32312772; 22595313]; [13705536; 16264956]; [10137986; 71352597]; [72604301; 85421270]; [31753253; 385313]; [1184393; 13605742]; [82810756; 75885083]; [10135020; 56465662]; [12572942; 61285800]; [3452906; 61101776]; [77725080; 17745574]; [30730184; 76495893]; [51898356; 32871782]; [95775190; 3713522]; [37109400; 53522625]; [63430856; 72558929]; [79432347; 52684309]; [54191584; 78483261]; [46479161; 28528024]; [32190498; 71215479]; [26164679; 83144089]; [75064683; 1091144]; [63680705; 74355780]; [77160980; 89720086]; [58407836; 76820161]; [80942261; 80122799]; [46925122; 79454355]; [3595822; 39143618]; [67188524; 84746435]; [82383805; 80774945]; [79984812; 86539280]; [63162958; 35762034]; [35108582; 70524928]; [80491740; 54883733]; [4394106; 13479224]; [41928190; 34980457]; [46894777; 55503379]; [53043738; 75491820]; [26032263; 29527594]; [62629015; 21034313]; [98652596; 78562616]; [65023419; 53946483]; [73218398; 78806105]; [66081831; 77467791]; [26132035; 26123809]; [39570484; 19091970]; [54257336; 70295367]; [47476339; 75962070]; [5231779; 59440557]; [17300699; 3026144]; [20476978; 58286123]; [46902450; 23567259]; [22755335; 2117893]; [51469173; 9740263]; [29806865; 93833872]; [86690335; 47132703]; [45996600; 77501975]; [86690142; 64164605]; [80729673; 58924425]; [33478961; 86400057]; [89678050; 26502981]; [89412847; 47442915]; [32401496; 16440724]; [49345115; 75130932]; [48738953; 51575784]; [31921031; 88214049]; [81738250; 77300773]; [197680; 41028830]; [59227158; 14926156]; [48199907; 63501385]; [18320288; 32225763]; [72692100; 78352493]; [53611140; 73365289]; [10561719; 32529906]; [79888353; 37243663]; [63759678; 51200821]; [73320593; 39643198]; [94176353; 18884992]; [84743574; 37741278]; [59206748; 20056885]; [33443006; 36092423]; [26367508; 83851974]; [72908905; 54551720]; [6870710; 50973269]; [91857445; 71672674]; [51368875; 48918871]; [90512405; 17229681]; [7461776; 53896012]; [15855646; 3160800]; [69276061; 3165585]; [6499618; 8559902]; [3856923; 8383682]; [64604137; 20847861]; [27968391; 59397449]; [60010022; 37719467]; [61557402; 19618843]; [47507549; 88731721]; [66071314; 92249062]; [91479855; 59076517]; [58459445; 7370853]; [23721958; 46307338]; [6973035; 76273888]; [38544911; 69637014]; [26745691; 16317046]; [22910553; 15083105]; [4468964; 15558859]; [61854301; 87140987]; [72482981; 41188534]; [50365810; 29064904]; [15891514; 11569556]; [19145332; 97762228]; [39765811; 1553409]; [29317643; 44078511]; [87876126; 12254341]; [35357555; 16827954]; [42289753; 5465651]; [3211473; 3493296]; [76532341; 90051103]; [85489451; 58247389]; [54182405; 96678865]; [92452988; 1622879]; [60566358; 13368796]; [74114936; 26879520]; [98798534; 67296141]; [41491953; 63248215]; [6244744; 63200813]; [96317602; 60720952]; [31008390; 84264167]; [1803398; 13312952]; [47506016; 94626658]; [43776719; 26280899]; [94564401; 53508315]; [78790276; 20510003]; [9003573; 57601704]; [25116401; 16222045]; [61713223; 36382834]; [37672040; 40949494]; [16914785; 54471598]; [77146342; 6214517]; [8782732; 69126828]; [79130504; 37356573]; [65962944; 82045556]; [3021160; 31533948]; [14224312; 54638145]; [11107619; 18456641]; [56494637; 76240459]; [75464135; 31866251]; [45901801; 51763730]; [5989142; 80750538]; [56635962; 47556123]; [50066642; 88246656]; [15965632; 32889317]; [1640418; 79985978]; [22215919; 75596176]; [53329209; 17731838]; [28015940; 10242138]; [30594132; 44844054]; [38754806; 98684497]; [14938844; 48886197]; [22339226; 69907747]; [10909537; 51183871]; [7709682; 5402868]; [40052334; 67434087]; [8482956; 91631381]; [29757028; 14698730]; [95942199; 72843535]; [1504341; 79205004]; [40287766; 95606762]; [12175333; 71031610]; [49911386; 31438997]; [90041616; 4744669]; [43312381; 76173217]; [94502355; 34728687]; [22698097; 95645594]; [44942018; 3405038]; [63666756; 41574424]; [42278958; 62673844]; [61031540; 45665828]; [16223738; 27049553]; [72570053; 92451957]; [95636698; 35845003]; [3582353; 15226264]; [54636745; 8289379]; [46977165; 21522610]; [86532165; 3464372]; [93656981; 50455597]; [31387700; 82764591]; [74938863; 48224921]; [36673665; 61866527]; [20096427; 46407829]; [30581015; 35130599]; [5066928; 47533040]; [33110855; 67314619]; [56841398; 14881915]; [56371822; 68861893]; [52203638; 76952740]; [5455325; 48187728]; [6300354; 90222406]; [59799136; 42181941]; [26334311; 33817789]; [87570751; 23055064]; [8125177; 27352155]; [66941422; 75766460]; [30593528; 60890805]; [73716956; 17289018]; [75068079; 50443573]; [45352078; 80870917]; [61910034; 13662752]; [63919879; 52887043]; [7039766; 27724495]; [96234790; 59979285]; [24847894; 89028625]; [97504776; 73876084]; [67460443; 20717240]; [83194168; 70734058]; [36271136; 65202039]; [51541751; 83491421]; [66218994; 20348321]; [90852110; 66447370]; [58010294; 33643629]; [26790051; 95611201]; [11050252; 61617061]; [51268856; 3046186]; [99028328; 31108525]; [15450185; 43753014]; [5680283; 53467009]; [45644641; 70368352]; [10651456; 75170243]; [59439664; 23028387]; [62111201; 25571446]; [27589419; 83045705]; [89871922; 43116102]; [43446774; 23541055]; [52971570; 50326295]; [36884097; 86357017]; [96868230; 70177932]; [92441787; 21542500]; [64260564; 89469142]; [4811402; 85155717]; [53718881; 62684922]; [46950603; 57395140]; [90251771; 7531664]; [55524416; 929953]; [1918068; 95610545]; [62112027; 46756665]; [65496045; 32882393]; [92989285; 68283811]; [31391930; 22897752]; [53321493; 44047534]; [63817096; 69547942]; [12686112; 64524305]; [68581674; 39350324]; [76963732; 33487385]; [9154588; 73368518]; [79818632; 13359982]; [27652751; 32001500]; [4627039; 61761784]; [22242520; 99348631]; [89431830; 46706849]; [36768281; 90881392]; [2417577; 98118847]; [13067489; 68232212]; [85728121; 24116758]; [89011240; 63499047]; [8698056; 10002594]; [13227368; 2239786]; [4958096; 19236265]; [43157616; 32221820]; [93917020; 49292154]; [66154356; 88871630]; [18552521; 42337481]; [74223476; 75085511]; [3569377; 12703511]; [83426327; 68638480]; [78900764; 62102159]; [16581174; 32872365]; [76915129; 18827486]; [67067008; 67922390]; [45917453; 2605867]; [61491275; 44628674]; [88622473; 90228717]; [61286325; 7221833]; [90465253; 57903203]; [22842478; 73025386]; [26330521; 41842853]; [72454845; 24853522]; [82273297; 91142300]; [47924289; 44058493]; [89588834; 85300837]; [9638096; 22155851]; [94761325; 30439873]; [1056256; 80471801]; [91193285; 74904364]; [77241719; 88671076]; [76364699; 3219214]; [63626635; 12651730]; [17235068; 97098441]; [82224486; 83856388]; [10059529; 81867402]; [76236129; 38664299]; [75063383; 35389562]; [45112391; 66342630]; [47165121; 92145094]; [21853777; 27859644]; [14069717; 94782179]; [62806838; 88677446]; [75114701; 97091354]; [26800495; 73405946]; [86399586; 69750608]; [86706044; 35984273]; [66738045; 79002892]; [84569301; 85649725]; [87863778; 30990135]; [31296043; 82411961]; [31134921; 33311081]; [76589358; 65334111]; [70095590; 86586006]; [71965357; 23170221]; [68926894; 91043999]; [9768637; 30755030]; [81963334; 99763095]; [8248023; 72082686]; [9028827; 32822740]; [77190705; 22440762]; [86723239; 27362978]; [41946077; 69850035]; [10605073; 54954294]; [69028325; 24279477]; [23549698; 14721150]; [33853752; 34619659]; [3310272; 29753535]; [74117762; 91449840]; [28189891; 25584120]; [59552431; 8282759]; [99098523; 35232766]; [78989158; 35315876]; [56439080; 46230345]; [17209550; 12160557]; [48766481; 50810125]; [24469694; 57509496]; [29151863; 14380485]; [22444431; 3519509]; [68239237; 65399729]; [60866770; 46824833]; [12289438; 57987266]; [70477456; 97138641]; [95442229; 65698322]; [95341349; 18523713]; [23499159; 62355765]; [62029310; 78680056]; [74450097; 30328040]; [39137532; 72999473]; [65136789; 38841915]; [29764123; 17711286]; [44967792; 96329647]; [26517389; 70667936]; [15253539; 83455786]; [23087984; 82370930]; [73087491; 44310469]; [57482372; 62772140]; [71863458; 17430691]; [20163694; 90638058]; [15349145; 16277534]; [27426837; 81836706]; [34363460; 67774168]; [3779993; 176318]; [93571470; 91625048]; [53780873; 34975676]; [97687854; 19062757]; [2021780; 59962747]; [82522312; 16649373]; [93386304; 57308741]; [44772241; 7872829]; [91240275; 90068582]; [20680190; 15555464]; [46348419; 29254718]; [50776382; 80559719]; [4087154; 83956877]; [72208532; 65217668]; [41190642; 27237319]; [76812816; 63328143]; [75286207; 49777911]; [24018901; 48239188]; [8709796; 69172540]; [85722835; 18738223]; [19849579; 94363340]; [28452611; 91376428]; [96949633; 92069138]; [82504349; 36476642]; [53721507; 47638818]; [76753177; 66664800]; [96115458; 426735]; [16425699; 48222129]; [25973796; 90017675]; [48112722; 86463993]; [4323767; 43064991]; [61393855; 93212003]; [5609429; 68317274]; [7331605; 47841373]; [64836327; 77071864]; [96254214; 93359583]; [81678340; 85564791]; [25992154; 23931138]; [67114697; 68073805]; [63672147; 85913686]; [88254579; 45010655]; [65323575; 83852521]; [1091576; 78393980]; [34455366; 79119371]; [62020798; 55519057]; [63433934; 16560348]; [98391122; 98817251]; [98207858; 48139194]; [73536998; 77449901]; [36560725; 76193863]; [37382181; 47456120]; [13015853; 96009820]; [99781173; 64365366]; [82333614; 75103182]; [17625041; 48755368]; [59740064; 54745109]; [24512145; 34657010]; [76308774; 41923135]; [40897814; 94048655]; [32023139; 78488245]; [33929956; 69983119]; [89762861; 73542669]; [70138964; 76769588]; [99673580; 64796978]; [77804522; 88894111]; [17848727; 47823391]; [83751595; 9016154]; [86971973; 32576201]; [80675944; 82622383]; [93527726; 13205662]; [18270518; 46709934]; [36863102; 91809151]; [84255250; 7741400]; [65436268; 72187382]; [88495886; 30143032]; [66796773; 47680599]; [91955095; 20964299]; [96151605; 10689469]; [7603996; 2178004]; [37066041; 75375445]; [92539153; 10732074]; [25167123; 4884393]; [29712902; 1901515]; [86792360; 6251123]; [44158111; 24932402]; [5914194; 56934295]; [14593385; 3358678]; [10800555; 4450097]; [56978417; 80920245]; [88283750; 1109878]; [38981951; 31260759]; [56754776; 540207]; [89425611; 66990858]; [7960448; 22298033]; [32002586; 85710269]; [48492363; 15516688]; [93020314; 17752746]; [60090648; 59172254]; [74488658; 70781752]; [41356383; 79043535]; [99022003; 71875812]; [65239665; 83883764]; [94741501; 83749474]; [26555894; 38248782]; [16700633; 96319754]; [68040576; 73596727]; [96820564; 59111841]; [4417212; 17377615]; [97000130; 99218105]; [16694884; 69250791]; [51990761; 58196203]; [25652137; 26166590]; [97449864; 66218749]; [82600877; 67203300]; [458096; 98461190]; [12424904; 77547321]; [63677091; 74173805]; [82059382; 21094565]; [37157122; 44290972]; [26013060; 45291675]; [71802100; 8635618]; [88873551; 72739773]; [33276073; 84262089]; [40702556; 36592051]; [54861164; 35840532]; [1312946; 16292294]; [77873986; 90879334]; [26278270; 95200638]; [84982612; 82003061]; [90246843; 50644552]; [35390074; 76937231]; [14308105; 46870550]; [71573251; 22028150]; [72106365; 52164154]; [84981623; 5219020]; [39687853; 34781913]; [35581838; 86089158]; [99363245; 85708032]; [45734429; 84432621]; [76312485; 64998898]; [68027891; 37114322]; [66889740; 84669900]; [10489414; 35555183]; [38701254; 58479409]; [26700546; 65818194]; [22381920; 53345188]; [36548669; 85874328]; [73616950; 31375058]; [14725920; 94601506]; [64446141; 47477657]; [54866930; 29580867]; [80160122; 49100814]; [64022262; 44879740]; [7489971; 50203094]; [77398843; 65337474]; [22772878; 59567982]; [80900188; 67435118]; [79928834; 1679817]; [39669834; 27352440]; [36823993; 56013320]; [32056979; 40385760]; [29885439; 55754053]; [18354539; 67826973]; [13883791; 59304800]; [73109142; 18052975]; [59191575; 16315575]; [8952103; 96040562]; [45826912; 91201069]; [50790461; 79358240]; [88621654; 27419143]; [91264255; 80904316]; [6754246; 62711292]; [60150630; 56857521]; [45516317; 15946244]; [95131217; 68286421]; [28276239; 46346285]; [47918452; 87827372]; [20773722; 20460750]; [61311916; 33177436]; [5121436; 6052716]; [72386457; 97363960]; [88074079; 18276195]; [31719874; 92198597]; [48571064; 37720693]; [70595211; 80048885]; [65576195; 19218913]; [66186105; 97037756]; [83890014; 35275797]; [38678595; 23894400]; [56024140; 19653275]; [50699506; 68150706]; [81178481; 38708743]; [28772299; 71845779]; [94244117; 88352827]; [9462279; 36298120]; [39328678; 23627427]; [20795246; 36637042]; [21121227; 10083958]; [9818974; 71748950]; [87068166; 58188444]; [31622936; 53740497]; [42466345; 26827542]; [97225536; 67419103]; [44840216; 16570053]; [68834527; 80499301]; [98701241; 80532151]; [27105641; 33722045]; [22102388; 44947195]; [72649952; 83061221]; [49358568; 95781829]; [76907894; 32627538]; [33838240; 58179004]; [43448677; 56434891]; [39527866; 37756953]; [19636393; 58414278]; [9137046; 18380926]; [73558207; 80357525]; [28369026; 5548555]; [71389610; 12126061]; [88621953; 37638516]; [80586381; 41007678]; [37614553; 78278466]; [45588835; 26740765]; [26721010; 69790927]; [60134187; 67849636]; [86125742; 31111975]; [87317555; 40900066]; [81554457; 9832916]; [44574969; 18505625]; [40114570; 15870618]; [68404213; 22539541]; [7056176; 85768546]; [65433077; 19950457]; [59619638; 45720126]; [81688906; 45124165]; [92744784; 90275445]; [21937160; 95213649]; [61255058; 78494424]; [54136057; 50957861]; [47395606; 29611043]; [15673771; 57764828]; [91214215; 41102371]; [53384333; 41251306]; [15150426; 64764677]; [48499907; 16567639]; [3619698; 42402471]; [27472995; 85430543]; [25491189; 23522382]; [40402719; 60001767]; [29891581; 79395209]; [71034670; 7667296]; [91084566; 60219058]; [51980285; 21545512]; [74721446; 19688374]; [75865378; 52363912]; [98643024; 92551161]; [95611002; 7806536]; [34767488; 50968272]; [71769843; 40390985]; [314338; 52085752]; [43231307; 67545112]; [58266235; 2580921]; [41593923; 25749343]; [81923314; 48712947]; [52312450; 3413550]; [6245788; 16297196]; [44559078; 49497148]; [67645912; 84692332]; [1592410; 27171174]; [6373553; 19892312]; [34392366; 44615517]; [88729614; 27633132]; [36180607; 9627718]; [8565474; 26014868]; [62687364; 89050740]; [9961453; 44992449]; [93718695; 18233925]; [51479736; 18757052]; [17268621; 30262187]; [48717123; 16913398]; [71156128; 22675606]; [97973166; 24792259]; [42872671; 10875868]; [17187627; 74727944]; [69542728; 54781067]; [26010846; 53247282]; [90064060; 87773745]; [89219565; 75625006]; [67140165; 81065737]; [76733222; 97906913]; [21916371; 13915255]; [2524671; 93598972]; [78034384; 70728479]; [99012278; 80409674]; [28627420; 19612369]; [34457852; 46265003]; [98297864; 72288576]; [96281130; 58456040]; [99617954; 47766501]; [50551293; 44628873]; [26176918; 53565606]; [70208905; 46120821]; [54964210; 86722782]; [8189780; 43206914]; [31736313; 12856400]; [52406318; 35060860]; [28615698; 1559809]; [92136708; 77309622]; [82528054; 91493110]; [69828973; 3135210]; [50547314; 44354570]; [84876887; 9452974]; [49255046; 45070723]; [26303271; 34129037]; [87514597; 11341832]; [74913680; 12903653]; [53107276; 35462834]; [51832442; 15613635]; [72241187; 34555043]; [65603047; 96414247]; [9508617; 15014781]; [80245285; 82759104]; [97813071; 9249814]; [27850700; 75671106]; [97200517; 85260456]; [53461665; 63220953]; [94104812; 17964635]; [90071639; 41881233]; [47957287; 3356490]; [82734277; 50747835]; [3561859; 49468824]; [81027420; 13930024]; [16326208; 11991091]; [71965106; 32424206]; [26898150; 76294130]; [36001680; 88468836]; [90320581; 72314917]; [43158168; 94905932]; [20194860; 92281902]; [20085504; 67730778]; [56826322; 69848572]; [12316770; 4459552]; [72514274; 78414565]; [68081958; 46105727]; [76283191; 31536939]; [57555377; 69584061]; [72345733; 5943290]; [75775528; 59345555]; [11533; 91171837]; [50782814; 2028510]; [13950379; 24577687]; [63756; 40748052]; [45420183; 5596439]; [51132369; 13064316]; [64679476; 33429387]; [93626668; 38128599]; [65794517; 85432266]; [95019367; 21975917]; [77668672; 16448075]; [47315650; 24433530]; [99318980; 34621526]; [94299303; 97785219]; [63681382; 41276401]; [15742267; 32994350]; [12238873; 36991093]; [77678578; 84302634]; [79086169; 86726436]; [63380594; 45832827]; [92951751; 1915063]; [59613414; 99045989]; [75355631; 22612662]; [32905244; 5613648]; [98982424; 34442076]; [36858158; 12985814]; [7700556; 24587267]; [30355129; 48411787]; [15394440; 38141198]; [64863198; 52613856]; [3148288; 14171057]; [98851609; 94093772]; [76851060; 31496693]; [1895089; 54044189]; [34469396; 3108367]; [6613215; 77701753]; [93624061; 73933041]; [19215472; 95495550]; [90504415; 45739337]; [58643266; 53271920]; [47636751; 33583354]; [72172353; 65164046]; [43500526; 92079374]; [12856006; 71046039]; [85288745; 90311122]; [71691975; 81494912]; [64291454; 9211027]; [82774942; 87130768]; [25534458; 84447028]; [43413497; 58732515]; [30015715; 66237132]; [38738747; 5228188]; [92606548; 48079050]; [41646415; 24145295]; [1282327; 76336238]; [83337729; 93529181]; [82520721; 69510573]; [54504063; 6176160]; [35303451; 93403314]; [42579974; 23656744]; [43844419; 80961810]; [35987147; 33250318]; [19196631; 19972824]; [70550149; 87850359]; [71819493; 63612461]; [75706088; 29524871]; [59431624; 6694070]; [569669; 27443997]; [97094336; 12793684]; [6517704; 28006213]; [74493664; 20910926]; [9936063; 42058362]; [33099428; 46529424]; [9680763; 87875094]; [79505762; 73776837]; [52626722; 73143916]; [80318758; 24217968]; [15101217; 91673073]; [25632242; 83346784]; [94451310; 19423714]; [4895341; 15852822]; [50758848; 37066933]; [66008091; 67384091]; [63443610; 43552400]; [37363657; 89183132]; [73402314; 4250454]; [1348242; 76119590]; [29743493; 20913302]; [26135517; 22435984]; [41019164; 50949903]; [50288889; 35411661]; [42339534; 3365162]; [31054090; 18693664]; [46492940; 43967227]; [46831480; 34940888]; [24402560; 22812241]; [75845472; 4882345]; [50648487; 40755891]; [26139391; 67248174]; [57384888; 74516375]; [39790515; 80675438]; [62477211; 87418681]; [79715755; 20081393]; [48213684; 78464869]; [83817130; 56391184]; [4657905; 2656899]; [51883010; 14780395]; [81755847; 6679889]; [86896075; 26022448]; [3487598; 85488546]; [54250189; 4914923]; [81619719; 84696889]; [10477051; 92533487]; [52127666; 76647434]; [44630292; 18683231]; [73427205; 97574195]; [53224868; 60798569]; [94169557; 71694064]; [40092517; 1628556]; [59295285; 90635452]; [37472393; 25795285]; [66926036; 53415220]; [98833067; 56164410]; [46104987; 49628958]; [97016570; 22652184]; [22298273; 77694019]; [20394276; 90660955]; [60918465; 64071851]; [50651011; 46101869]; [20520580; 37427398]; [44368664; 47078401]; [45852983; 3761550]; [22233368; 85117593]; [84167690; 59953382]; [75570830; 13259725]; [69274398; 65463825]; [24448106; 46906999]; [51808195; 92026127]; [23957250; 41692441]; [89755739; 89961123]; [29965655; 55046440]; [18553466; 57293104]; [14249013; 75426879]; [48816173; 84482797]; [43118560; 67161478]; [79427825; 76293945]; [12177878; 52900200]; [19523344; 35632587]; [61759887; 60409601]; [69704800; 30600851]; [29640133; 87058682]; [51330857; 3704509]; [38623213; 52776613]; [14648350; 35099909]; [65570438; 26403472]; [87962167; 18512088]; [23102764; 47211743]; [81383029; 49240781]; [24714028; 13864909]; [70374485; 44392196]; [17670557; 82686765]; [76442622; 18484034]; [24955924; 18549848]; [85885411; 49662189]; [9959396; 30030945]; [60920082; 1051125]; [60607532; 5872455]; [27722403; 51238192]; [92450764; 21081220]; [19999068; 76049092]; [72965784; 73606670]; [50725602; 36880899]; [5516062; 80800369]; [62523588; 90294005]; [79734688; 94671032]; [99360876; 51062288]; [14426183; 68091978]; [94776208; 59810494]; [85573860; 8341746]; [13357007; 52329920]; [39866917; 65889247]; [49433021; 68407040]; [39455464; 26310391]; [48947020; 47492188]; [63273430; 54315272]; [87479304; 30418787]; [50955755; 53001112]; [98837231; 92741825]; [5090839; 77265579]; [21320621; 61630785]; [83418648; 58303312]; [9572569; 57261401]; [71278558; 99128570]; [80938397; 15728890]; [11013203; 55356043]; [84091695; 85848390]; [71483896; 65810811]; [72670619; 43405587]; [24663456; 88583731]; [31721464; 77537921]; [52703293; 83736082]; [48025771; 94715339]; [44669697; 67035074]; [56772675; 6173869]; [52164258; 2749002]; [26121803; 15331403]; [79605231; 19183170]; [76133830; 83246485]; [64063652; 42960218]; [27128946; 93212184]; [70095544; 102455]; [87628729; 67514316]; [16828511; 84612498]; [1048385; 44730643]; [48604734; 12160055]; [70797379; 79834793]; [76882046; 67249456]; [63406836; 5677003]; [56274; 47051765]; [68955573; 43803087]; [9074145; 96361758]; [9228975; 63881431]; [96914520; 99408495]; [45269495; 80816498]; [78779908; 57551254]; [18468175; 94678588]; [2761488; 87978637]; [94507365; 38650101]; [98353498; 3598426]; [26021370; 8953061]; [80671501; 83905823]; [91855010; 48313010]; [38572471; 54329589]; [58050916; 94215707]; [15186544; 28787257]; [88630953; 90175053]; [29851862; 81738699]; [60446135; 79781729]; [73156619; 24463197]; [27094344; 70962505]; [14674183; 49475597]; [54755810; 6174147]; [98740794; 55321552]; [64674388; 92561204]; [73491164; 69920615]; [9898568; 73694070]; [73203106; 99199207]; [62717310; 7984884]; [87950974; 81768094]; [61129842; 53875137]; [70858041; 51740217]; [53574138; 9025044]; [24675363; 36937804]; [66582860; 69504245]; [14248357; 68641402]; [97599609; 62240662]; [92290838; 50125091]; [72382679; 58398893]; [10493791; 49345612]; [61302680; 88647968]; [63469846; 41403871]; [76801564; 33903729]; [63017014; 50038386]; [1353880; 31473733]; [37561813; 77490379]; [55153429; 83142599]; [94629423; 24205903]; [97118964; 61249987]; [11318369; 10486509]; [7074473; 43582634]; [96756313; 51545065]; [79257090; 8685611]; [40199108; 63381374]; [3831681; 6575489]; [19129478; 90060081]; [86268077; 14239669]; [79016673; 61727624]; [26380310; 59637331]; [33509943; 39839255]; [81299610; 13421540]; [9592438; 94403453]; [70778236; 23757456]; [76340381; 15869206]; [93946791; 65719064]; [71251209; 87892784]; [5709889; 89372166]; [75742726; 49105360]; [42689458; 61434599]; [41446426; 51810596]; [1998963; 63486066]; [35231461; 18905502]; [77098718; 13523580]; [64566924; 48465145]; [71928485; 75476940]; [64136469; 56081481]; [16685592; 75625320]; [93164788; 82216551]; [73074810; 65860133]; [16256422; 43092935]; [29778702; 60555805]; [20385350; 42108256]; [97684522; 85495528]; [78458821; 33664870]; [59908790; 50311350]; [15053031; 485200]; [33889894; 65370198]; [91699915; 3582616]; [33665327; 24814065]; [29051896; 57406547]; [24205292; 53954047]; [65703822; 58090465]; [94276234; 55211471]; [61669342; 44363180]; [37175427; 72782128]; [91893641; 8128957]; [77461771; 63472334]; [90084310; 99634511]; [76264056; 56269975]; [67690277; 37802482]; [14346466; 79988017]; [90654757; 80237757]; [87789476; 54490821]; [81069566; 7713455]; [42709754; 35462763]; [13170408; 88239625]; [69202958; 37251602]; [4717833; 46479492]; [98513621; 69560728]; [48105038; 39202683]; [85094897; 27963486]; [93562708; 23513300]; [26707920; 29207340]; [72960795; 84412948]; [31543239; 8110124]; [952012; 25527471]; [4235769; 79186113]; [21056557; 21429250]; [12306555; 22715790]; [88319437; 77865834]; [90575210; 71904244]; [19949982; 97346578]; [78343190; 29644496]; [17143755; 39279950]; [3920638; 97713677]; [84520279; 79647443]; [52673074; 61107318]; [97773565; 41332130]; [21530909; 8988682]; [86305192; 64393761]; [90155988; 70261672]; [94511641; 59802390]; [29767727; 56506023]; [58206550; 4821290]; [95094956; 65701648]; [2559717; 16801191]; [6353162; 40679895]; [25041943; 56716877]; [56949586; 94973655]; [79155163; 63121973]; [96791686; 65602891]; [27175248; 5889402]; [95721641; 43380544]; [83466489; 77616854]; [56765942; 88699384]; [79624341; 31404379]; [63124197; 13207786]; [82184716; 98592927]; [14752593; 71743841]; [44975871; 93382995]; [58840124; 93354408]; [21622458; 98357398]; [30670722; 94614782]; [91757877; 341796]; [98659274; 44948715]; [69033622; 77052938]; [85384962; 37257111]; [44212660; 47317207]; [99293192; 2705132]; [60217690; 8497579]; [34339054; 32297066]; [93878971; 44472496]; [68029103; 94231099]; [47987886; 69301194]; [33816449; 16198520]; [36366611; 75954382]; [49539546; 66377251]; [91404250; 9470756]; [20926809; 8605658]; [56775880; 11712581]; [19500291; 3691868]; [45811813; 41011056]; [77303115; 60201105]; [89640889; 86868849]; [73567010; 81572712]; [19871596; 57246300]; [11259305; 29716997]; [22879184; 79883945]; [18866150; 20479909]; [13336703; 63639222]; [59865494; 77304586]; [67147582; 23509463]; [41620921; 41618815]; [72042469; 9678010]; [75829407; 53193704]; [32837639; 93118691]; [91673475; 37191893]; [73632495; 79827906]; [55958181; 81027540]; [61280090; 87004053]; [44272385; 19080991]; [52254194; 88015009]; [73594154; 20228365]; [27734977; 54287597]; [6627828; 15921656]; [69287756; 3186575]; [10700723; 8300130]; [94967584; 73375809]; [3446090; 90718656]; [7537989; 87723475]; [28597722; 90395886]; [79558365; 93547539]; [24012616; 49421789]; [38172930; 91030852]; [31090580; 84807793]; [85393284; 3707584]; [41505569; 17110458]; [70151716; 91349061]; [783369; 11584251]; [35940624; 6166254]; [58782162; 32615096]; [18422471; 80695645]; [4383563; 36984577]; [97923918; 62518929]; [57157287; 48626842]; [13985838; 48623563]; [254960; 88955747]; [2712688; 47231747]; [92089951; 97663981]; [91508743; 39933016]; [31374564; 87726835]; [97505383; 63149093]; [54519203; 82889703]; [32709112; 85128610]; [17122145; 60683447]; [95371230; 29259832]; [71064379; 72128975]; [56443611; 97550907]; [99226021; 42168003]; [66987647; 63082131]; [78725401; 83493359]; [20621374; 5680248]; [82361581; 96334905]; [84118989; 19615301]; [6846589; 40206721]; [95954033; 69160781]; [5354373; 82457993]; [1961548; 77988129]; [69781199; 53720833]; [3484693; 70651104]; [6299299; 80438401]; [1263434; 39973819]; [28074440; 78893587]; [25122121; 30691362]; [97430497; 94544987]; [27255586; 11378111]; [13797357; 70735115]; [87108876; 25509510]; [82027143; 98791527]; [19109655; 6659354]; [17841012; 2490789]; [1033655; 3932522]; [95271109; 45507983]; [15239175; 32571604]; [72175133; 11119793]; [50769490; 76660681]; [7846612; 97886016]; [9937536; 99563898]; [70013349; 46716050]; [1959991; 18475501]; [55877217; 4308931]; [54061044; 35631621]; [81268247; 99633230]; [91270825; 70371296]; [2769779; 56146754]; [22556355; 37112575]; [65390673; 23673815]; [27863715; 16038476]; [35367136; 99551372]; [26432020; 91783244]; [34721428; 48631271]; [30502540; 83238992]; [95738689; 80380607]; [35772297; 67171581]; [34088133; 42011882]; [69099822; 32436977]; [93944277; 43406888]; [55814709; 72529752]; [41386333; 36400794]; [63819675; 1562993]; [54672932; 27276956]; [82143933; 14758605]; [15678940; 25699614]; [81757942; 26015988]; [78462647; 4798577]; [49593431; 1089533]; [12994566; 572988]; [75905394; 98623321]; [73737555; 65549680]; [84446920; 53444506]; [54250428; 27015006]; [90259349; 90764516]; [45613345; 90920800]; [25473651; 86493060]; [2623264; 13000921]; [86937800; 32743124]; [24965915; 73977303]; [71744217; 25751690]; [26044865; 93409223]; [26504079; 78829456]; [7648713; 81629785]; [5355778; 42624788]; [98245795; 21621456]; [46302557; 3746057]; [31015405; 77210702]; [2670073; 4747126]; [8013588; 30079795]; [70542621; 79659145]; [72337591; 72137672]; [67129524; 80818377]; [90237320; 10213949]; [7331596; 33453606]; [48875126; 5574795]; [57911513; 57559669]; [90136273; 32320364]; [85945072; 76831267]; [75459796; 23130937]; [60717165; 16303426]; [3264370; 67476640]; [36902145; 81030496]; [94390836; 51341653]; [93740305; 56346388]; [80083847; 94923793]; [45448683; 935944]; [55215014; 68335174]; [88942809; 52698067]; [82326969; 86480841]; [93358083; 43290592]; [15279844; 98963098]; [91856178; 53621389]; [36878357; 30903542]; [77551105; 30241994]; [28248645; 72413025]; [29826453; 74610280]; [16355; 73852452]; [52852779; 88179768]; [60846167; 97244831]; [82202290; 56651737]; [85520440; 1720464]; [22058105; 62456557]; [91259413; 76660783]; [85491500; 39733419]; [90705827; 38098141]; [69980165; 46197638]; [8730443; 95467286]; [42253680; 57781499]; [35473873; 889749]; [22848428; 96931783]; [62741883; 71550699]; [26723737; 91664270]; [17209559; 4195045]; [19751472; 99849757]; [17396110; 12084627]; [35090672; 61953601]; [97725847; 30541673]; [54235536; 92159321]; [68477351; 85990048]; [55715399; 35564053]; [99443225; 95766979]; [71468569; 24417076]; [84033618; 56243480]; [43322114; 82722109]; [62395944; 66585721]; [55515383; 11104427]; [31901890; 53673873]; [25079095; 78176777]; [22413209; 16170016]; [28307098; 61455296]; [81546694; 54664120]; [59374681; 84308344]; [80267765; 59895002]; [20862006; 18373266]; [80758991; 79066904]; [33041135; 63760136]; [92678459; 70372723]; [45750198; 4021999]; [62943882; 2277002]; [7542236; 11585024]; [41087392; 20229888]; [26439249; 51646520]; [12796887; 43696582]; [98074704; 19177151]; [45244146; 70150796]; [23231782; 12006061]; [7024312; 44731834]; [9016129; 41780973]; [13520221; 79405477]; [29464290; 78055748]; [10892352; 28585767]; [99028333; 74813104]; [90392760; 27272257]; [68880947; 37491024]; [88820451; 65450097]; [43229552; 1195551]; [34203374; 10815798]; [66206160; 9392024]; [12790626; 49224875]; [80354981; 94273481]; [43375526; 53585574]; [13869697; 13863177]; [47458389; 77410809]; [46714281; 88615230]; [36778269; 94099893]; [18347892; 41364078]; [93000552; 64217027]; [70319855; 3386234]; [32638673; 53737949]; [58691534; 50187255]; [15583346; 87759662]; [585847; 4044418]; [83537624; 26305736]; [5275934; 83587688]; [47150901; 17027141]; [30311208; 4651848]; [15830078; 23673819]; [83642954; 88159311]; [36471050; 86380969]; [83179501; 54931334]; [12209015; 46513466]; [452208; 37241508]; [24965484; 36450833]; [2515221; 50892850]; [13560042; 58720151]; [10989972; 65645277]; [38103613; 6554927]; [12912145; 1222250]; [76743971; 53814132]; [56565657; 64579066]; [37891726; 38740113]; [54739022; 63840349]; [92776756; 50198993]; [26821841; 73049933]; [25875957; 1912269]; [20264651; 97012015]; [17686247; 35301788]; [88968241; 32257855]; [63315540; 40481599]; [72116181; 98009176]; [7347601; 25715008]; [91590473; 50670577]; [68207556; 87406695]; [36498421; 45945012]; [2891228; 34380192]; [99943668; 2529176]; [59380061; 19214643]; [97350149; 4299814]; [49296144; 29524325]; [76730342; 64690867]; [88888861; 10232831]; [3141718; 72081643]; [66326508; 43648885]; [65151050; 33995313]; [14064893; 14182017]; [84817737; 3211771]; [1315008; 53773656]; [83842251; 88256322]; [43990575; 32049997]; [44223688; 43816804]; [33100203; 98433321]; [97052709; 22997958]; [47321903; 9320344]; [61368102; 7532111]; [24551680; 97196987]; [97199365; 9565341]; [76332759; 7905722]; [35329187; 48229893]; [32427380; 72884342]; [1909724; 23721948]; [8837557; 575551]; [1153699; 91193282]; [48494645; 19491400]; [60819742; 90902587]; [74239505; 55292952]; [54110049; 65828038]; [41418971; 70187065]; [73628940; 1728454]; [62017359; 88844742]; [98063266; 91483916]; [11509191; 77831618]; [58613367; 90989398]; [49085751; 96589426]; [46016775; 40435793]; [31489519; 95188467]; [13192461; 69107524]; [17343814; 45931536]; [17095343; 54959787]; [85522029; 21280551]; [11323713; 77765424]; [34084637; 93392252]; [98152206; 16225485]; [38086828; 54824459]; [74101864; 80226427]; [13123964; 32384754]; [85786062; 28738620]; [86119109; 60231419]; [25601586; 23789345]; [39731509; 34458492]; [42700941; 83251408]; [65598454; 90157898]; [19178418; 92398581]; [3050055; 46793301]; [53703831; 80944833]; [10787333; 23698787]; [70638207; 89255610]; [54556427; 16660626]; [84713948; 51960476]; [84965744; 63966122]; [65138594; 29220438]; [13231127; 3337447]; [91142322; 19842113]; [90061404; 85517256]; [76494382; 5992114]; [90979772; 53177304]; [71461624; 20076456]; [42371666; 92941265]; [15630557; 76646986]; [1610201; 48624521]; [98305001; 21264752]; [37825302; 33587812]; [42367766; 75677127]; [4431586; 50860759]; [52433764; 33469475]; [2284705; 69658930]; [61974166; 97941357]; [93638055; 21970428]; [74938539; 69815071]; [3638541; 39415914]; [48658555; 72769321]; [39592060; 71133466]; [300522; 84640891]; [59068219; 38387613]; [82492937; 9658440]; [59284305; 85192566]; [76164232; 97491120]; [15279649; 73331639]; [19663772; 58392586]; [28553162; 42519864]; [41709579; 59726457]; [69427042; 28500024]; [52987453; 18778862]; [36085687; 75872405]; [8846440; 61896892]; [4771358; 62749284]; [19393068; 71361329]; [28894391; 29928140]; [33413553; 44030778]; [15502168; 16486915]; [12545262; 26213640]; [22191895; 47381406]; [39254788; 73582972]; [10096386; 92258510]; [5879314; 84057678]; [43937105; 76511709]; [62502916; 49117360]; [36123315; 22471617]; [63744155; 2628300]; [5616839; 14937098]; [61981949; 75773484]; [61643784; 89708595]; [35886339; 13071307]; [87451094; 52030126]; [6917358; 84914685]; [93354263; 68759150]; [75424633; 84123105]; [40218106; 41968141]; [66987543; 52220445]; [40739123; 38833377]; [72967881; 33223341]; [5778690; 61661655]; [57449509; 24933595]; [89002018; 5000693]; [99303720; 4942290]; [77852556; 57405319]; [15991088; 83465645]; [8810420; 37535644]; [96555050; 31473835]; [62251814; 41386035]; [33609480; 71291937]; [81208748; 51201554]; [23001972; 96513108]; [21508967; 28316115]; [11607084; 54451671]; [92961968; 74412709]; [44533800; 2822428]; [54674254; 75500226]; [86181128; 42928151]; [95989475; 67478952]; [5273423; 16592305]; [55326521; 40422257]; [79374005; 68745106]; [31870144; 20415936]; [22669694; 79096349]; [41341188; 99395282]; [19931835; 54565570]; [60080905; 23356020]; [14212692; 9443167]; [6843849; 12756953]; [59887912; 2075359]; [12840398; 2359773]; [77659947; 94493332]; [91462214; 82570726]; [83781715; 52427708]; [73924252; 85673713]; [66590160; 81166519]; [61936554; 2624570]; [84048453; 39919509]; [60810308; 235996]; [62713402; 27554152]; [64478604; 22736202]; [64921964; 31388105]; [59806018; 79841503]; [53118247; 54308496]; [82900220; 15532416]; [79398891; 84040962]; [39163035; 87714201]; [33969239; 34235249]; [75254806; 91963545]; [8610979; 92692025]; [11738145; 14037102]; [46391134; 12620392]; [25984921; 62423879]; [7967361; 83312684]; [18147364; 51950635]; [35146630; 93932003]; [4098404; 52509733]; [11307912; 2547972]; [85286446; 27717684]; [32005734; 27228817]; [67243577; 67545815]; [15237645; 77851635]; [760961; 90576516]; [61940461; 13712531]; [25460907; 25935249]; [1704318; 87664968]; [67732865; 15242871]; [44208278; 33761739]; [53931515; 75584524]; [26707521; 54646742]; [73644807; 72071581]; [19998806; 38793239]; [26761226; 98715866]; [6904852; 22148022]; [46056751; 66162173]; [49237482; 17253914]; [90921871; 50219298]; [34578761; 78195028]; [6684683; 4749169]; [16988687; 43052142]; [78003293; 73161888]; [24368075; 80115912]; [64850620; 44403547]; [41639688; 5964213]; [39664175; 47470850]; [25891802; 79599359]; [37904493; 93419795]; [16831668; 12388466]; [63816086; 68745733]; [76666302; 86822519]; [2177461; 42285036]; [29001239; 68928465]; [16262700; 80999767]; [95758256; 79610519]; [5045016; 48390321]; [6695329; 22578723]; [89559327; 99128162]; [36178378; 23946304]; [80903939; 70411341]; [54191681; 19953250]; [55250705; 14223230]; [28155567; 16166337]; [3039288; 7795088]; [28406752; 99740643]; [44616089; 80044752]; [75434515; 58589016]; [46142467; 49730487]; [81291654; 56771916]; [39836664; 14564695]; [51163196; 91374472]; [54014883; 39393438]; [68878975; 73317129]; [63244315; 1415283]; [87760061; 19008850]; [43749499; 37363511]; [27243950; 88111614]; [49791660; 2197713]; [80111378; 89037008]; [51499890; 345393]; [34149875; 20405364]; [54611059; 88885502]; [1149182; 69587167]; [81842056; 79966190]; [84860213; 72377354]; [47056148; 10007365]; [43742354; 83750603]; [59954017; 69086207]; [30578374; 93991635]; [18306612; 32415973]; [4578182; 6233781]; [67910702; 20940066]; [59132021; 40911394]; [93400348; 23339494]; [16363908; 86733080]; [38318874; 47490485]; [26851579; 73789519]; [3213001; 96893560]; [50545440; 24057469]; [40357588; 57541645]; [5922152; 19022598]; [19998431; 28481204]; [58456707; 33983400]; [24644418; 19367419]; [6308761; 66141640]; [1426240; 77315753]; [88225099; 74978596]; [22248136; 16103746]; [67436508; 7696498]; [98197185; 20725103]; [23176111; 29284395]; [4269739; 71636343]; [41796249; 25271784]; [18839387; 98823538]; [86189384; 50541146]; [61316254; 12115336]; [18556440; 75286044]; [64347871; 76535597]; [78893082; 10068312]; [85854658; 34740664]; [35275771; 41736416]; [48957159; 50485560]; [77931415; 563670]; [5463347; 11709220]; [53434169; 42702849]; [69675486; 41500605]; [9265641; 29654261]; [27071604; 73570210]; [7987128; 12984533]; [37392331; 2152562]; [94462334; 36656727]; [19580459; 26358653]; [40469312; 67207355]; [25836390; 45391069]; [72299917; 37443817]; [62477663; 99416526]; [74296664; 2876540]; [75324126; 15890822]; [54757426; 85186539]; [47744398; 49971052]; [27528417; 89886115]; [78025716; 48303074]; [40799384; 4845733]; [16454275; 12470259]; [14351360; 29390713]; [59983985; 85116004]; [2222223; 31002845]; [71023977; 58573185]; [12482533; 25545834]; [8411121; 13080584]; [46223373; 10193224]; [46564668; 77360422]; [82005771; 52199213]; [42839971; 62293480]; [31569670; 1680631]; [56592387; 32498014]; [19627318; 42263281]; [257232; 3459312]; [14825618; 98712192]; [70844161; 19399270]; [71480343; 18624319]; [94325888; 18099315]; [81574490; 85381255]; [84867926; 61583256]; [91949854; 96222142]; [13010742; 16614042]; [22721611; 72556836]; [4958371; 53973472]; [66111122; 9900310]; [15549419; 29075889]; [70862257; 18518974]; [31428351; 1604371]; [84079236; 38153117]; [45894904; 80556746]; [15381773; 10757920]; [9628634; 7263522]; [88364798; 21261052]; [43618995; 83661607]; [6785501; 28944508]; [87522227; 89497024]; [34284130; 36570702]; [96378391; 85346240]; [7535215; 87810344]; [7414663; 82194777]; [86251060; 64013551]; [89953881; 33386567]; [9365794; 23478636]; [36627396; 42283970]; [43926549; 57132374]; [75863139; 5428558]; [35682769; 72910234]; [30551676; 68504269]; [78023548; 41581048]; [17147238; 70286334]; [19005369; 12943363]; [67162731; 99760967]; [71054888; 41972023]; [59682894; 929336]; [9974343; 69973084]; [22346482; 87242373]; [86573721; 6070939]; [85537832; 90118129]; [47411793; 92838956]; [54827056; 40922683]; [94805021; 51874722]; [74859127; 72125764]; [29909179; 88594819]; [65468564; 26640714]; [14474695; 12882701]; [84845889; 55045780]; [82815700; 55757047]; [77971287; 69809701]; [10485522; 18719387]; [51711997; 61013318]; [23173118; 98845919]; [65413525; 41136661]; [27608153; 41868247]; [87472121; 4985553]; [51387903; 31567789]; [63081612; 78239963]; [31278932; 77862407]; [68705431; 7241753]; [84848891; 43430050]; [21950683; 68020937]; [96205731; 30217229]; [27353265; 91472938]; [95820115; 78818694]; [18452954; 35093594]; [84125611; 54823382]; [18492231; 1063652]; [48320027; 84540198]; [57742951; 15335302]; [52796659; 11722310]; [10183009; 59749275]; [61732420; 42539075]; [10485602; 13069452]; [13843841; 93485201]; [6268117; 549256]; [55533588; 1265453]; [48593781; 84966529]; [75654080; 37480287]; [69658374; 55278855]; [50218442; 99382432]; [76737001; 34773935]; [40020286; 40050956]; [31209183; 15092533]; [93767770; 73676211]; [5292948; 14558823]; [18491325; 63553215]; [15298415; 42488097]; [26493427; 44031912]; [24661594; 56559361]; [15445738; 57254231]; [38994418; 61944109]; [57083226; 21023650]; [72589848; 73584841]; [56691860; 78390554]; [27560141; 67182467]; [79081342; 63036860]; [35222958; 403263]; [59835507; 53497852]; [83816067; 58273342]; [63416806; 90646357]; [26356122; 72008853]; [58439248; 91164824]; [60694038; 12852051]; [57239510; 92450426]; [9710779; 10599439]; [36390269; 26800018]; [16467570; 69926197]; [73073803; 44293880]; [19793084; 38944920]; [84638810; 97788261]; [73110660; 66829324]; [11047730; 94019286]; [4508302; 23085081]; [56795616; 64659174]; [91504541; 17101669]; [25804345; 16972575]; [89665623; 14171371]; [8184693; 87231796]; [1112508; 45068260]; [82644090; 83439893]; [74036503; 40749959]; [26019594; 22538955]; [32240195; 39069902]; [31008625; 21140852]; [16799610; 105962]; [10770796; 3543243]; [12667360; 3139605]; [66219877; 12442059]; [21123104; 84762947]; [1705397; 30715955]; [78971948; 56913115]; [32186658; 31291734]; [10137889; 8051750]; [96148599; 61669203]; [91729622; 26534349]; [38566730; 80964920]; [13341204; 8377967]; [14290223; 53135989]; [97627912; 82798578]; [61797733; 68069640]; [14062405; 12730293]; [67951440; 61467916]; [71463855; 87499062]; [96039614; 6667635]; [50981304; 46392442]; [80846872; 58217923]; [84962795; 45953341]; [4309221; 28292320]; [58908038; 17832046]; [31779136; 57510150]; [66343256; 90650379]; [42946504; 19527254]; [22983912; 62634477]; [10903226; 97892299]; [64604287; 90956994]; [55944223; 20804967]; [37105152; 17338290]; [6520189; 21768659]; [49872150; 27625051]; [74342822; 56632115]; [49501360; 28408836]; [70103503; 93012495]; [74246673; 1104081]; [28760396; 57092733]; [43959541; 77020615]; [75078350; 20789072]; [5603874; 92340631]; [97894754; 37808651]; [93366448; 39957711]; [47934522; 87202883]; [50912007; 57069149]; [44213248; 64610427]; [31843199; 28398843]; [67718982; 83623509]; [44951481; 35167822]; [74024875; 97324040]; [3419200; 85945040]; [13955421; 11232362]; [64183308; 71609071]; [52449244; 98919139]; [34644094; 54595343]; [75331584; 65676152]; [19894971; 64703832]; [76518688; 85602294]; [36748406; 93443161]; [115484; 17070422]; [32214072; 26694894]; [64628412; 34857901]; [24128525; 61815192]; [55483096; 20620280]; [68936178; 66497832]; [26299825; 41350371]; [19844427; 77366257]; [43786128; 21729211]; [127001; 25330427]; [62480566; 87922034]; [17115731; 60295802]; [32639823; 34988336]; [79180489; 3515191]; [75051833; 58055076]; [83439205; 2616305]; [45897716; 22619082]; [91179003; 63060012]; [13323278; 51607053]; [24096968; 48317239]; [51714734; 14222460]; [11814806; 16076699]; [74991775; 71237150]; [71314437; 53004763]; [84843727; 2939489]; [45797916; 66209218]; [27573684; 78965708]; [39517886; 96402499]; [19533059; 23861458]; [49542508; 24425308]; [73823586; 34664167]; [49826723; 28363919]; [91943315; 69724494]; [49336171; 72520603]; [92540152; 93305079]; [55979881; 58982857]; [74522412; 34723586]; [83725361; 71322362]; [25724733; 30960799]; [17592130; 67968545]; [3130190; 33948611]; [64546059; 78766596]; [36742712; 26039532]; [30325291; 95767458]; [12647155; 72291900]; [41648821; 49930719]; [41231797; 41040601]; [1445564; 95031148]; [64566048; 92019560]; [62952607; 59278196]; [32374242; 1024181]; [20133662; 42363908]; [99846440; 16416339]; [98932248; 23175118]; [27331961; 30123730]; [79001421; 73495410]; [57240485; 79168814]; [59245771; 37613860]; [65319263; 22846815]; [4937555; 144810]; [25945715; 45750136]; [92379863; 98515227]; [92503950; 18715273]; [40607989; 94738949]; [49552033; 21706490]; [3613595; 91559401]; [27241280; 24997582]; [76771464; 88007026]; [14592475; 87725602]; [76817626; 34150517]; [11198420; 63327792]; [17830137; 87345048]; [43164161; 42642609]; [425879; 59217523]; [75788264; 27569516]; [55556817; 63933890]; [31239269; 48482589]; [35347383; 70112838]; [48521906; 64953253]; [19908199; 17998324]; [97511945; 44952743]; [42859542; 69647961]; [30277831; 19714060]; [45366735; 4097901]; [68130920; 20312490]; [57932692; 84946639]; [89284014; 69815088]; [2628404; 55973414]; [9222260; 65418886]; [58077432; 4631774]; [66311839; 92508409]; [9548767; 57121530]; [65523651; 50419865]; [74250801; 93678978]; [73269834; 75215059]; [13970564; 96548492]; [88597789; 75519920]; [5159977; 68343662]; [29402803; 40155101]; [59639088; 95818331]; [27017741; 61775052]; [30313623; 18256071]; [26378246; 6642643]; [56202032; 99024698]; [34114744; 98617456]; [6714590; 15522214]; [66173744; 95866637]; [51479724; 44472983]; [96061463; 97703929]; [55653115; 37626575]; [73410638; 69828997]; [53481624; 42805004]; [16506617; 5019192]; [63511242; 31159609]; [45413854; 61796654]; [42331017; 51119600]; [81256484; 56868806]; [78493373; 23284241]; [66006451; 25158950]; [18852155; 12306805]; [16297865; 44359265]; [28687619; 88208438]; [79697993; 72010312]; [96442082; 50805302]; [8757316; 7273594]; [76915964; 41912908]; [51944130; 17786166]; [38520417; 3657863]; [11192331; 69988884]; [71955397; 52226547]; [45489757; 36056276]; [15419394; 96710572]; [25743504; 90556712]; [39057744; 99716736]; [28819643; 80899593]; [76643772; 74666830]; [48663586; 77819828]; [91846286; 25843172]; [30240733; 12400363]; [73100333; 46553839]; [40272474; 5728985]; [50083135; 77802604]; [33741015; 52457188]; [12671795; 38800182]; [37699453; 39244963]; [78833026; 93269321]; [67999466; 96447486]; [81470403; 43723736]; [70258804; 30030617]; [54898547; 52873460]; [72277646; 77273421]; [11096519; 35441482]; [91412328; 20637394]; [88289193; 82720278]; [95203679; 63590196]; [78035436; 1679921]; [29316990; 74025233]; [67625219; 57717893]; [43834384; 8206957]; [89638671; 20631089]; [40476478; 90976220]; [1810356; 43631260]; [76440157; 51542056]; [90680917; 71045629]; [30730664; 47351300]; [64030721; 55517630]; [37534436; 12092955]; [29543201; 44509964]; [85468610; 51363356]; [61512687; 89538385]; [37878512; 78833183]; [46716835; 34079241]; [90991698; 33627443]; [50109892; 11480207]; [29475245; 38201212]; [17933015; 68310351]; [11572039; 80437862]; [91536950; 28495955]; [14732463; 73851661]; [60808450; 74349449]; [4527278; 41349843]; [64853976; 87754873]; [46419985; 64152930]; [65955307; 24332845]; [63677027; 87845932]; [77369922; 6402049]; [25293916; 5008701]; [72475097; 98836681]; [35184641; 35859687]; [58555365; 30995323]; [99893924; 79360976]; [3723636; 81381749]; [71817611; 55830652]; [12233584; 17794048]; [16728836; 39723339]; [72700867; 14998358]; [44157587; 98781409]; [39323043; 38834967]; [73350347; 67141680]; [92304855; 43164105]; [99038642; 80295791]; [83096883; 98370806]; [51925101; 1119277]; [82695205; 40508432]; [51539064; 6861781]; [30570386; 54490923]; [15247287; 28999163]; [27927031; 11006202]; [81061947; 88568318]; [10081496; 87278266]; [19955883; 64731872]; [9469460; 67021869]; [62228640; 68771985]; [96263198; 20422156]; [59600649; 82127625]; [98695970; 62963446]; [28807354; 54639992]; [62383697; 71242116]; [39501786; 10794310]; [77660700; 91500364]; [59590246; 88616476]; [13222068; 38384945]; [78741206; 76457847]; [13379923; 83960076]; [41557359; 49655264]; [95705844; 48762099]; [54620515; 47525772]; [37130594; 89676250]; [20718714; 25788524]; [66924556; 88692703]; [21219536; 61407246]; [22237889; 27129685]; [89889144; 18201495]; [57566596; 74094549]; [13177571; 53960403]; [54877765; 51886753]; [19531562; 52096684]; [48327856; 33436345]; [34827867; 84783156]; [79837208; 24612542]; [23848322; 31488730]; [97696620; 9407241]; [73809831; 24283947]; [50336660; 48630947]; [47730957; 76832009]; [33679982; 86964460]; [6136738; 98168407]; [35572795; 81728636]; [79919553; 49252342]; [70481855; 27308895]; [3859155; 23798196]; [4413642; 64403012]; [88464469; 94540077]; [20076886; 24387848]; [81189829; 43936185]; [92413107; 11833828]; [14735753; 81841942]; [99218083; 102031]; [9256118; 66530765]; [72821590; 84815170]; [91569310; 9260348]; [70948418; 17613006]; [74023441; 38361009]; [87259551; 65741692]; [89563065; 46634579]; [36423253; 17220802]; [23148701; 33134493]; [87802098; 61920279]; [24706323; 81872311]; [31592778; 93864319]; [96486397; 2790559]; [28535826; 99178395]; [88436408; 67575705]; [3095341; 18813010]; [14849260; 2937624]; [24512424; 78382485]; [64503759; 41572693]; [71009897; 89302124]; [3262355; 17653486]; [97101938; 41605600]; [77221730; 24179729]; [90027159; 45139823]; [14981924; 66231105]; [5438657; 71405397]; [16530632; 5315929]; [15815146; 69695141]; [7756788; 73304416]; [84158571; 55451286]; [64100975; 62558861]; [60938623; 86429084]; [29954477; 47751539]; [77301418; 65140801]; [92168762; 74150639]; [24015997; 47703543]; [56535623; 10935039]; [58077529; 4171617]; [79400372; 52315112]; [95725351; 7346242]; [89015505; 59404794]; [96957950; 45239721]; [16080945; 47312189]; [75359275; 87467993]; [63128360; 11321553]; [55660278; 63391958]; [80875523; 42324796]; [4330960; 46960397]; [68333252; 83884]; [40446740; 81581616]; [37857290; 48474592]; [19001327; 90298830]; [15096829; 93642415]; [49872472; 4204617]; [16837801; 63332227]; [67334013; 2128052]; [9817648; 87599722]; [35122381; 12575716]; [24197340; 83856677]; [19897173; 31195978]; [42712180; 56039678]; [51850206; 57084941]; [61374366; 53127362]; [38195520; 39267559]; [90617228; 14856535]; [10001136; 73401892]; [7398068; 40367118]; [77345965; 3044806]; [2568731; 47383886]; [65463064; 84180042]; [40275665; 20110768]; [81743635; 73616861]; [44667553; 91214535]; [94658390; 51605282]; [66044193; 87696017]; [82910648; 65901861]; [24939390; 99843409]; [54229839; 14718682]; [19812167; 16007296]; [83918669; 37833842]; [50547579; 72501898]; [21696554; 27202918]; [13533214; 99702277]; [42583896; 322754]; [48165854; 51694140]; [8406654; 43345200]; [58984892; 4075663]; [60932911; 60395052]; [31452177; 32890362]; [59351020; 99554782]; [85512189; 1779384]; [39651599; 8830537]; [45429596; 69690276]; [46184282; 43488287]; [46066069; 1064906]; [75938595; 6868839]; [58465735; 15635534]; [10806348; 48409478]; [49271455; 48135541]; [28381747; 28975692]; [46151004; 63361584]; [96534516; 51588067]; [69475603; 49216737]; [29723356; 15465115]; [40506439; 3858876]; [35979835; 80170906]; [85541585; 94889890]; [11720610; 93097618]; [26522983; 59759584]; [34598247; 51037061]; [57119933; 49560328]; [24327794; 42389291]; [32867571; 10897470]; [46220586; 36190909]; [46166797; 92075495]; [45905133; 65509400]; [32770742; 48949259]; [60205713; 11057436]; [61252655; 69409826]; [64615039; 42913835]; [52970589; 19134338]; [63547065; 130436]; [62001975; 56212981]; [13018944; 67055352]; [54235540; 86863308]; [94104100; 61593520]; [86389152; 89237006]; [15633096; 90260934]; [23034458; 50772879]; [37025231; 93688632]; [71636268; 55766417]; [28354468; 30903911]; [60303774; 33086180]; [93282953; 81893164]; [62340268; 32456588]; [49689581; 94011089]; [35383723; 20611615]; [19224539; 94171235]; [49875964; 30203292]; [97178833; 32879074]; [20597644; 91165145]; [44965388; 53563492]; [93901867; 39353479]; [57297723; 39077252]; [1305852; 6844488]; [19304238; 79987676]; [81691989; 54924664]; [47737588; 74530501]; [3306153; 68012334]; [1301404; 88206895]; [73110503; 85931318]; [74237221; 89400284]; [81371100; 72189816]; [7654545; 36426870]; [352689; 84221616]; [15166079; 37263044]; [2874039; 5698454]; [49258097; 42239951]; [94331662; 94519293]; [67978112; 82983515]; [74890538; 58981501]; [10551691; 76248878]; [78984946; 82638820]; [68509633; 22237124]; [20987377; 77987970]; [19656914; 81501518]; [32011085; 82576364]; [55465606; 98731164]; [61441553; 79504637]; [11423253; 58301902]; [80906028; 48181438]; [70473363; 50782222]; [19247311; 64751823]; [96102270; 28237889]; [99660582; 10313374]; [67436051; 113739]; [67870434; 52157813]; [70061418; 2644386]; [15056227; 47907089]; [21675746; 41370871]; [38146181; 54681776]; [37869922; 75841161]; [77784678; 36562831]; [69366; 89351346]; [71263323; 30592898]; [70570549; 2452788]; [76595960; 63067285]; [96777470; 583069]; [20347910; 96445098]; [21618179; 21579133]; [61873028; 25563460]; [75189378; 8278434]; [69697012; 30626877]; [39999761; 58821910]; [82186208; 82641174]; [56362150; 85430952]; [1731648; 61144417]; [58081974; 63373667]; [23741341; 74138864]; [93064384; 16403692]; [763122; 38336339]; [71676265; 31549077]; [38209554; 46642026]; [6673112; 25854737]; [32127243; 33021085]; [69154570; 28337794]; [26311809; 95874787]; [44315347; 56242207]; [80719134; 93395015]; [5591386; 62026870]; [31529502; 27197401]; [53715468; 72214645]; [72177082; 52000482]; [92776663; 33482521]; [37794495; 41199332]; [90506044; 32962095]; [72301506; 22641060]; [91349162; 58975258]; [45197713; 70658051]; [21843180; 94270883]; [46534130; 48713626]; [97133932; 37544159]; [57943771; 90436866]; [91682710; 31003418]; [1329535; 44872354]; [77394005; 43358159]; [4986446; 74022420]; [71755269; 13152502]; [5639708; 18836199]; [79251523; 80033972]; [21362760; 51250770]; [49736588; 8860657]; [45233392; 89301481]; [81114537; 26200407]; [19091276; 61801245]; [62330556; 7629392]; [79728391; 94252059]; [58304257; 19645429]; [81712218; 20009420]; [43175503; 75194224]; [19846097; 89891262]; [86382783; 64718308]; [65211463; 85969567]; [17546953; 54360556]; [89392927; 93717328]; [43313693; 10182283]; [97954575; 92081015]; [53881831; 1420133]; [62119074; 94028719]; [37973589; 90568362]; [87420654; 16762481]; [76703990; 70974239]; [8612536; 74613957]; [78013572; 25340674]; [2539491; 70857993]; [43398649; 14634739]; [90493977; 49759818]; [72147289; 11278629]; [59783678; 37334881]; [53402778; 3401160]; [35001370; 15357222]; [79487582; 25902682]; [23155708; 66605506]; [74299024; 20585359]; [18856483; 63197471]; [98489782; 76010710]; [27926288; 99116527]; [89797769; 49030826]; [67874316; 79518036]; [94727468; 27299368]; [98918365; 14137857]; [46825785; 72460270]; [78627901; 99020922]; [55168216; 58203156]; [59149781; 29082862]; [5444518; 12843976]; [26059681; 51769997]; [86304663; 28567996]; [8285079; 60892506]; [33452496; 57798031]; [17434357; 39251710]; [73000462; 7278572]; [2215268; 31879961]; [22304742; 83737167]; [4161700; 17762387]; [33987420; 72706993]; [32483254; 48053523]; [27382149; 31330269]; [9778795; 42512890]; [35603094; 75901389]; [72934716; 31906102]; [39285036; 46390490]; [51672264; 27102100]; [77894591; 50750408]; [35996151; 12522955]; [72530805; 15570408]; [78343375; 91899457]; [20384247; 29953338]; [3817080; 21091347]; [65583989; 46873754]; [50658252; 8723788]; [2635807; 74713065]; [73663972; 34299807]; [32044696; 7008145]; [96436827; 87366012]; [55240005; 1592979]; [32405458; 42621987]; [67076585; 32918817]; [61084969; 38129365]; [34276837; 97104300]; [65338969; 42614462]; [47930280; 30689278]; [28457372; 8148670]; [98742921; 44499930]; [55984423; 14682961]; [93159833; 84801773]; [97517157; 62105648]; [36963270; 79590914]; [15263273; 41339242]; [39681168; 13994497]; [80493924; 75095087]; [66216267; 97292765]; [73000236; 92438693]; [26857745; 13603600]; [28103325; 58036019]; [30775692; 96699447]; [14945148; 39127975]; [7486637; 37944612]; [37353049; 19999628]; [73920641; 33403275]; [40670378; 9887100]; [55326204; 60259337]; [94251086; 84264455]; [77460204; 97709131]; [75017298; 86991254]; [59964104; 96026413]; [18673958; 30495639]; [89195649; 45632867]; [4311786; 75473950]; [37395046; 71327055]; [59647817; 36589590]; [82343624; 89482705]; [76812224; 74764501]; [83374237; 67443808]; [52525360; 80709730]; [34966741; 97762330]; [37965083; 47406955]; [30179775; 69664911]; [74563446; 60666687]; [41323095; 14781358]; [81141645; 887510]; [22068941; 42070312]; [6534158; 55983026]; [25939309; 62443939]; [94565800; 99582396]; [76646370; 47504408]; [53245727; 10365623]; [82499982; 80669731]; [37083613; 24223897]; [64146521; 44490890]; [40931693; 38994450]; [99994158; 41806308]; [50425155; 74661377]; [56952281; 35303415]; [2772981; 81884061]; [36850490; 2370344]; [98851442; 24949190]; [75857202; 29750497]; [1707900; 94879074]; [14356462; 31909418]; [38139008; 15966250]; [13403533; 96729857]; [9982419; 81979749]; [76970156; 37295274]; [343143; 89358024]; [22903623; 19313777]; [3584738; 7095508]; [46199730; 4957578]; [95490298; 39599631]; [62356035; 13981044]; [38082112; 2261217]; [25266794; 47491830]; [15301123; 27759427]; [45251019; 38646503]; [68769515; 17058633]; [73285319; 94114599]; [46552894; 33124590]; [12404552; 34926045]; [60092698; 91453417]; [79429456; 46181306]; [99990645; 99362214]; [98188879; 35058488]; [62486324; 75239948]; [33276286; 21095668]; [65413946; 53850737]; [14297322; 89643126]; [60456968; 41970381]; [6364299; 74064453]; [95081338; 99527745]; [35311834; 1814464]; [71102517; 37597014]; [50631870; 22028930]; [47144448; 55795577]; [93462429; 11619517]; [59385668; 48966813]; [60254030; 62390617]; [21698984; 9752699]; [52056988; 67005926]; [6884692; 28749945]; [53719068; 18666717]; [84845440; 552247]; [55329191; 57519913]; [97994672; 84288482]; [92975280; 34104553]; [87598635; 54169140]; [90158143; 65581258]; [94362714; 34821859]; [57674813; 92298257]; [52528170; 4229358]; [45053077; 70082390]; [77057993; 33066688]; [76134086; 20957262]; [36733551; 84168534]; [39000089; 56859567]; [34553006; 44467943]; [30408294; 20685414]; [81466849; 31368430]; [64073887; 78602885]; [35575463; 62979594]; [49011233; 39894832]; [41977634; 47362449]; [42252089; 69728712]; [9268092; 81188065]; [2064591; 1588127]; [84960456; 30134713]; [45951333; 62266155]; [70688159; 85490563]; [34607921; 13945927]; [29704612; 13235129]; [86539226; 16891796]; [58221452; 70780586]; [98624868; 41537155]; [56560604; 46845244]; [92448781; 43928379]; [40316678; 76966257]; [93709100; 49430453]; [65408555; 24938004]; [5412870; 13280702]; [54040690; 91533764]; [66953638; 77292053]; [53067275; 62317368]; [61698721; 31720888]; [2682701; 95486928]; [14643980; 73095413]; [1597372; 56048696]; [38523241; 18350060]; [18705490; 712296]; [6997961; 93732214]; [79960503; 44099445]; [66880160; 75142692]; [5191809; 87306781]; [27465086; 79843259]; [58807039; 5721307]; [34743443; 3294310]; [10640288; 72896148]; [86494777; 60862510]; [65948138; 46770255]; [10416478; 44780903]; [55922697; 73802004]; [8721606; 96582579]; [97772392; 45674139]; [26136539; 20775967]; [33532140; 62789220]; [17318981; 4363215]; [30264580; 9471743]; [38911367; 21773089]; [13610245; 93056861]; [10664582; 69582309]; [50812076; 41456736]; [75011731; 53480453]; [45262982; 87238184]; [5783718; 8737659]; [72886418; 43961243]; [5820210; 75941551]; [41052054; 92119248]; [4578135; 74242149]; [22218411; 13287251]; [42101558; 48564667]; [73545189; 70265913]; [26435032; 17846261]; [79839348; 24533121]; [36513517; 83396649]; [84210007; 5734616]; [12265563; 3861724]; [41464989; 90189007]; [23825452; 46317625]; [14984355; 1116885]; [39431541; 93817869]; [83100853; 82987292]; [7799868; 2173433]; [5665829; 37771243]; [42147320; 29408781]; [60588742; 93945052]; [79179336; 26944023]; [74259820; 80571937]; [42494425; 52118925]; [31670117; 77354949]; [80333016; 61806615]; [81618890; 11634420]; [47773055; 82212059]; [45385848; 95192786]; [9636801; 55417011]; [79141702; 47898930]; [62020925; 16605695]; [35453309; 81823023]; [71664817; 52045049]; [2967392; 94646699]; [33742251; 98650199]; [3622030; 51504276]; [18594056; 81640488]; [58579686; 37787653]; [84451384; 49416746]; [59446065; 76002390]; [77805147; 84722109]; [57889815; 28135165]; [35821909; 73866540]; [55111544; 51369375]; [33767351; 60329797]; [30493880; 96647782]; [58087544; 79541743]; [4380839; 96691048]; [20695633; 32860498]; [21899296; 69510272]; [63353197; 7048476]; [92948647; 17029796]; [44227612; 13750923]; [64362670; 38983559]; [68622747; 18948767]; [5921993; 98869862]; [1202749; 23136647]; [61038953; 4455762]; [73616797; 95538093]; [7242434; 50684909]; [26839592; 24699305]; [87638478; 83751656]; [12346; 62318415]; [72046446; 56157711]; [38966396; 3159648]; [32302222; 66023887]; [10091134; 57534184]; [44762324; 89674690]; [16984559; 40703316]; [11635529; 83067991]; [6256059; 99329226]; [86553501; 19803914]; [7920513; 38628617]; [53594406; 17249333]; [53017238; 93378929]; [58690287; 31834813]; [72243695; 10815653]; [14351897; 94235740]; [98493926; 68403303]; [55840302; 94947576]; [3710905; 96574448]; [17143342; 68213961]; [92218706; 28968330]; [41562076; 28853651]; [77047794; 80284699]; [88860818; 22635948]; [53744250; 33762958]; [9815713; 41107117]; [481474; 59722693]; [80903183; 17084109]; [89359978; 48377884]; [26361229; 74284535]; [19217798; 46793508]; [87332138; 80853183]; [65435519; 59621535]; [96415421; 24631598]; [93291281; 87631424]; [85652563; 74464742]; [77305459; 72413159]; [59399631; 30923116]; [62027509; 87656856]; [30382122; 34459073]; [67679923; 92066510]; [2285374; 30439843]; [74771840; 86337499]; [85192700; 41722975]; [37190479; 24243822]; [75292260; 24700981]; [38755606; 89836524]; [70912947; 69987747]; [38922737; 74612494]; [31931311; 32714206]; [30532219; 71481127]; [76908995; 60992087]; [75246021; 66120944]; [75725541; 9464691]; [28565688; 24501443]; [31249894; 20689191]; [15167405; 25836128]; [79360317; 82152614]; [30975800; 18033709]; [52065135; 79226841]; [43899367; 69490621]; [81213079; 43168644]; [54604565; 31721381]; [20222654; 81630508]; [11915380; 41842902]; [95540073; 92928022]; [18024456; 52816392]; [40982142; 5377802]; [12870354; 30770380]; [21346508; 3714786]; [18345721; 65603324]; [50003621; 35032127]; [9188961; 17126883]; [49607327; 4316194]; [59897776; 84827563]; [52906638; 67283805]; [52306512; 14876137]; [51123099; 81836759]; [41213069; 56298534]; [80963918; 30864162]; [91585057; 27265260]; [73155433; 19565949]; [38827806; 48339879]; [19310047; 75201806]; [53567741; 28800506]; [12277110; 23231444]; [7315941; 19160431]; [76197932; 83654687]; [41153075; 47488300]; [81227565; 584106]; [8206833; 77465243]; [87464692; 595837]; [88026167; 7800409]; [78895755; 70399966]; [31338125; 85815036]; [36975615; 90747143]; [11575419; 30729957]; [33545646; 11436353]; [92752007; 52067827]; [46551428; 21567760]; [5363453; 73816293]; [73222638; 28313554]; [77826846; 40847346]; [72406048; 51064028]; [58500813; 42404005]; [73486263; 93715721]; [92897228; 80558454]; [82356330; 93331072]; [14126512; 59033226]; [97301454; 40078456]; [56270606; 61199971]; [41131368; 83502579]; [86733273; 53131975]; [99679117; 27858576]; [33166345; 48672299]; [45035883; 59628955]; [41166220; 4203357]; [86825121; 54614941]; [95351343; 52251417]; [40724214; 25152056]; [81543415; 56784178]; [25998447; 74657049]; [74604194; 7874945]; [71946240; 88935689]; [95484358; 50565945]; [76283006; 72814953]; [44943146; 26963984]; [72068546; 86277143]; [31675301; 44984706]; [99192797; 90747741]; [85676564; 61165630]; [30108452; 14603468]; [91579440; 23176241]; [45217189; 6835568]; [49479464; 44415307]; [67271917; 11183036]; [19392434; 66751180]; [41429063; 89827648]; [28464689; 28892242]; [84821212; 70185684]; [16746596; 28113178]; [71603729; 30550114]; [20573493; 46127826]; [56577781; 48117265]; [86609507; 58394098]; [73227192; 53219576]; [63100000; 40759384]; [35040688; 90600997]; [93770787; 73733890]; [94452248; 13074416]; [86699323; 19243814]; [26844143; 20941001]; [91008562; 52236038]; [3766489; 4474176]; [82042794; 37135674]; [97619732; 42734393]; [95551277; 31959880]; [93909046; 94211423]; [56113597; 20178887]; [10354076; 95352742]; [16097635; 74409169]; [58286580; 90705734]; [10614971; 2232511]; [44501046; 78001173]; [70384749; 70950103]; [88579654; 23640653]; [77865833; 48610034]; [25234645; 68764737]; [75856828; 75657044]; [92046903; 9753370]; [48417587; 34474584]; [97476007; 32137011]; [61116497; 12086933]; [76915605; 22744616]; [58123435; 67252572]; [82598337; 69337346]; [94936727; 64123473]; [74376082; 42411899]; [88234062; 53777638]; [47261085; 53911634]; [39845398; 79034113]; [87114532; 94640951]; [2543382; 49169683]; [80228542; 33440506]; [73452678; 81048777]; [53336500; 99051110]; [99011136; 48703226]; [15600185; 79730914]; [28441653; 85143409]; [85844197; 20725991]; [17190927; 45648366]; [33196026; 60775297]; [11698104; 82670513]; [13600944; 16306237]; [60676355; 43407095]; [68664362; 99513403]; [40670329; 64823647]; [99135160; 10397901]; [1652920; 5063801]; [27596954; 23574492]; [97931664; 36411904]; [38828537; 36930473]; [130728; 32819896]; [53334877; 23724327]; [53388025; 82674233]; [8895510; 68666595]; [76275337; 22633979]; [84690905; 92461980]; [76822936; 22607395]; [90535661; 58800603]; [85238887; 25703576]; [65871144; 65786287]; [83996505; 31855545]; [72771049; 83748875]; [37100945; 49567199]; [68647093; 64720959]; [84263063; 7888566]; [33239606; 63346157]; [11383333; 8212510]; [2560152; 86572786]; [39716385; 42423709]; [67716138; 96851779]; [12410194; 22800068]; [36999502; 78993013]; [18803905; 78219723]; [53397044; 31172565]; [47725063; 66178999]; [99605423; 12752033]; [74800753; 92322202]; [69061791; 92918927]; [14337637; 59767030]; [44859055; 14778624]; [53728805; 78722829]; [59954542; 75143678]; [18717947; 35885168]; [23100748; 65414832]; [35915963; 31757911]; [30498973; 78584450]; [16085128; 98952150]; [8640496; 29318623]; [70209154; 72303661]; [74307876; 93863036]; [96049617; 98032462]; [60127008; 39112785]; [51553639; 8701734]; [34112725; 24978968]; [40798826; 35050493]; [73819003; 65050046]; [49291045; 10473408]; [30875912; 40440056]; [78623974; 13553941]; [84807156; 55142234]; [75707272; 31835875]; [22271065; 99288888]; [31163027; 26250101]; [59580604; 37255755]; [13116106; 75280889]; [41706081; 94236836]; [67964353; 69884682]; [83322543; 68176837]; [81707527; 51864292]; [56474368; 98377693]; [44624236; 37265998]; [31704582; 52386028]; [34865230; 21579424]; [36998200; 37197883]; [98551336; 74853836]; [76943729; 5047208]; [89684111; 71899558]; [37936487; 54776593]; [7457916; 61336718]; [47940751; 93119594]; [36329890; 55277714]; [36179886; 43344113]; [57771419; 98598233]; [42757060; 24166791]; [68540757; 84251426]; [66584466; 46139693]; [42174534; 33716381]; [60458504; 14678214]; [99283527; 50242373]; [95433547; 91254202]; [9960569; 1983696]; [78827735; 84898979]; [9622332; 5785786]; [7332155; 34145675]; [98098132; 60856731]; [18710017; 25779107]; [60436600; 48530861]; [46279543; 26297209]; [80339946; 49678214]; [25369140; 32268928]; [48381667; 47955579]; [95526850; 50247437]; [65926914; 64462408]; [17951878; 11183890]; [9498470; 79893715]; [31477310; 71892156]; [67731231; 35733756]; [78376593; 14316856]; [70753295; 12314656]; [53098091; 36270961]; [7596164; 36978024]; [88563851; 92965586]; [49562195; 13030804]; [81579504; 587803]; [39245981; 40742712]; [26653963; 87050984]; [32298387; 54625416]; [90758309; 31291352]; [93029819; 13327852]; [4164853; 90804571]; [6025644; 42147285]; [51447383; 80719770]; [52541432; 93075057]; [38312053; 94463688]; [19260828; 98039867]; [70800285; 30021763]; [56179677; 17050678]; [54860425; 62402865]; [81332662; 42828139]; [92397293; 60961517]; [7378193; 52260928]; [37612474; 54906534]; [4099097; 8798853]; [22584319; 30656160]; [61277311; 76468118]; [50925331; 76951809]; [12235596; 6934274]; [86987348; 15531953]; [79493455; 85345825]; [6260337; 79025075]; [46394372; 85379011]; [75987943; 17069512]; [26272983; 19458498]; [98432065; 25631761]; [45279929; 99255648]; [85378072; 11482927]; [29553415; 58437362]; [69128341; 95965688]; [57910425; 27564774]; [18286759; 53819483]; [76855171; 62307496]; [36532759; 72966334]; [47490545; 44582155]; [90920166; 5775822]; [23813781; 90588355]; [99080351; 52747700]; [72052910; 87192784]; [35025213; 25904371]; [12151601; 84994197]; [17066683; 46728885]; [65747507; 76669229]; [38956905; 10055159]; [64255242; 40483982]; [70273426; 59303551]; [24909511; 97210893]; [19753200; 82616554]; [84670248; 28281776]; [91521103; 51387258]; [62246517; 17940514]; [35417607; 25017075]; [23599362; 1005807]; [28279778; 75962181]; [16341081; 42737994]; [93137672; 19979100]; [46882623; 79360562]; [82173716; 95866317]; [73722207; 2394252]; [20385692; 44757992]; [4127868; 58399815]; [81764857; 53542891]; [85409216; 34661079]; [57417778; 29081690]; [79392520; 26541220]; [72035290; 12084850]; [41571480; 42553259]; [66340085; 81138543]; [23824674; 78479756]; [47695935; 46378934]; [85274367; 95981872]; [51681214; 55584106]; [12814116; 97319937]; [46065656; 92416224]; [37834810; 69068634]; [1690124; 26590992]; [54730942; 89757323]; [99553422; 87712016]; [45452522; 5306997]; [91692686; 5203334]; [85804648; 40259703]; [73387856; 74646423]; [33044595; 26766322]; [13802680; 2524424]; [64215365; 88937359]; [36210755; 96160942]; [34633546; 46215439]; [40635298; 5345448]; [70579248; 71645917]; [708714; 17572815]; [67815470; 53431157]; [59809183; 37495031]; [34616393; 63312123]; [26846857; 20609756]; [7199360; 32536106]; [28600318; 77242271]; [38202178; 35272035]; [54869649; 35424489]; [87436794; 2518352]; [12554883; 76003825]; [51450227; 70522928]; [48567130; 10399781]; [67020250; 9132565]; [18106046; 1509399]; [4449382; 40818506]; [84942494; 20118944]; [48546578; 46360536]; [75890889; 1888870]; [8848920; 42696131]; [34827221; 11153439]; [4479345; 2294163]; [58931746; 21813087]; [96368383; 69635015]; [3974339; 85930408]; [845480; 60162164]; [33147518; 23709023]; [1297943; 38978778]; [60296235; 51615962]; [19414481; 2285382]; [35309180; 67887539]; [91185716; 63294145]; [48158143; 69985336]; [94289657; 75556501]; [17307520; 63286950]; [33053886; 43862109]; [93054413; 88919684]; [2288331; 66989364]; [21970707; 80504093]; [43999213; 51139789]; [54825024; 18742680]; [63071175; 89835585]; [6787948; 48361718]; [67799157; 50472403]; [5542696; 13836832]; [65891696; 661252]; [99244706; 89372244]; [30390063; 38799069]; [28046263; 12548429]; [63638266; 23826417]; [90553800; 36757687]; [77897374; 14585902]; [60167442; 49120916]; [92282998; 81144308]; [2937989; 4928622]; [82839022; 71079793]; [93371977; 99312565]; [27499987; 56916014]; [45567561; 97358622]; [19710024; 19687648]; [72086178; 65217346]; [94607733; 12514312]; [92347613; 8101693]; [6449533; 32320822]; [39425034; 35272906]; [1373258; 43571738]; [26697787; 95513504]; [88344702; 30816555]; [52482085; 54057230]; [34295336; 48145898]; [59104667; 7949605]; [12617387; 61373538]; [25379783; 35803872]; [46415839; 9076392]; [37031947; 22688020]; [14669973; 86812984]; [22937953; 49189716]; [30301929; 16321575]; [55430514; 8378188]; [26494029; 92252029]; [27896224; 48647785]; [47521484; 71258186]; [7691993; 5890382]; [88759279; 12115653]; [72839107; 90108561]; [59010105; 67682273]; [74289374; 92539658]; [99967812; 87382119]; [62112898; 11822288]; [74853125; 99105664]; [39688158; 51930140]; [62192220; 7971627]; [95641813; 39977127]; [85285156; 45534952]; [96122804; 59637740]; [16985338; 99368320]; [45833877; 65783031]; [66155201; 43723498]; [78958519; 63983213]; [41440354; 95292762]; [46611739; 11632212]; [21321869; 13922230]; [70394964; 43590951]; [97223148; 80711350]; [88536505; 83951508]; [92128485; 32465080]; [34088910; 93533875]; [40739997; 63749886]; [53928901; 30147447]; [58091870; 2929760]; [97127933; 35405239]; [49730386; 77742943]; [88691459; 9215846]; [54160456; 28181760]; [4941692; 94624446]; [87868977; 51521938]; [19501099; 5454039]; [84071573; 4043177]; [43696774; 2055727]; [96938275; 72781633]; [78651062; 13114635]; [65016806; 82986969]; [80454904; 12738653]; [5187597; 20044350]; [33211447; 19235924]; [25994755; 59665264]; [15495642; 32544307]; [77488971; 66474054]; [80949461; 16239320]; [34975359; 86268209]; [9749891; 2620485]; [71081870; 96811423]; [63909926; 11400884]; [27005795; 62543589]; [16635425; 94142053]; [79819881; 17268521]; [52652872; 31157192]; [96513662; 18148920]; [87518011; 17025738]; [68911658; 24615238]; [76574509; 89546740]; [62171732; 96221999]; [79497409; 98951089]; [57497497; 52192116]; [37367750; 68455942]; [49397393; 89055957]; [1075446; 32290194]; [80439367; 66644672]; [70493581; 93635452]; [34865333; 33718407]; [38398898; 85078985]; [22202878; 60149372]; [3114745; 74152674]; [78190644; 26680925]; [9085098; 1253800]; [20419702; 34779858]; [9865632; 10069957]; [81375251; 87488051]; [86215087; 3707435]; [82266484; 50129771]; [18297694; 82919959]; [99301936; 73545409]; [85594317; 33962165]; [83727698; 84608584]; [73118904; 1134552]; [12575904; 39727199]; [37372252; 5550125]; [67972400; 4501997]; [86365634; 81791536]; [75720870; 84561259]; [67935256; 90084963]; [63400595; 74079572]; [77991314; 20178147]; [77625077; 9041943]; [52883315; 10621401]; [29246024; 26851105]; [25428529; 81938009]; [92888837; 66427910]; [70824532; 40949633]; [14213674; 37525832]; [52827340; 86735023]; [56979057; 62581248]; [25008335; 46979139]; [94501841; 37550038]; [29855962; 3236993]; [10249360; 53961829]; [72517231; 36109853]; [30781947; 28585947]; [75103566; 69562292]; [38009833; 69475337]; [49745276; 19354950]; [26653811; 58331004]; [54523477; 45673895]; [77781033; 70461965]; [73179158; 10089562]; [48526504; 6055679]; [60488030; 63560812]; [73407663; 26337259]; [90021296; 31128652]; [59597630; 43795691]; [91015537; 69849567]; [33720382; 41879342]; [78935171; 64641229]; [45427305; 17342793]; [54557951; 92104481]; [90371043; 7753113]; [41197892; 2279417]; [72507168; 81216848]; [26171634; 3301939]; [23742553; 46878393]; [79119795; 28825597]; [98067432; 9166439]; [96359118; 56299236]; [94164044; 57101560]; [19266148; 91351794]; [39441503; 34219469]; [40938371; 61333885]; [99257051; 19477231]; [98376506; 73792798]; [57092033; 77537524]; [1409833; 61443856]; [3292342; 71106972]; [39870415; 82404035]; [93429695; 17870622]; [70283538; 17343994]; [76333386; 38495055]; [32981513; 49182387]; [33570700; 78024352]; [61477932; 7693439]; [68333862; 20657802]; [52826154; 21505590]; [71937881; 94629136]; [31276979; 3759806]; [26967558; 33004018]; [53001786; 31069013]; [95197522; 16821649]; [70242541; 18973872]; [55332232; 27526193]; [30010696; 71044160]; [55549301; 83358643]; [19808287; 76295470]; [86005603; 64144372]; [49663900; 92496706]; [11920546; 59859281]; [10344168; 94165659]; [28403052; 29538504]; [7149033; 17856409]; [98532378; 3686720]; [76299519; 71147654]; [2179711; 19470798]; [85881339; 20609801]; [65060945; 63336348]; [67288946; 11199589]; [42009169; 90424405]; [3464626; 48694102]; [47187995; 95039447]; [61838639; 22877940]; [2764314; 87802114]; [32356853; 95126703]; [95995922; 47379527]; [50000241; 12818832]; [92178114; 55187596]; [61962786; 17730187]; [21235216; 30868861]; [98596224; 21989037]; [95617063; 37675333]; [56542850; 56142987]; [30382853; 28772464]; [16975533; 83982513]; [95620692; 94482060]; [65386948; 79817365]; [98314554; 94955103]; [24822566; 46372179]; [66330207; 98296014]; [53368399; 14808042]; [65371638; 66188375]; [10335414; 7274511]; [35805537; 51293131]; [98146170; 21127084]; [59635300; 60053024]; [2118228; 26112338]; [25560723; 28980830]; [31363094; 12323723]; [27976028; 96892505]; [36432485; 22329505]; [87311110; 12235324]; [90498867; 20319972]; [3467788; 7568745]; [62726970; 6169145]; [55503680; 87414360]; [40198503; 48461787]; [87732327; 38043225]; [27272093; 57917611]; [90949347; 7113548]; [75794182; 46996272]; [77070892; 26205961]; [68301411; 45435820]; [4977963; 95846760]; [15608693; 25536637]; [57652293; 20905544]; [83121747; 9917124]; [50053639; 79582625]; [88966268; 89711306]; [87333022; 89879885]; [17392924; 47591454]; [29232393; 38231070]; [31336097; 87875607]; [73238669; 71669360]; [93595192; 66008069]; [67913313; 73405750]; [72802698; 49167376]; [70782076; 26317242]; [11235225; 92330278]; [92695226; 25571791]; [3204510; 87440099]; [79635663; 28668810]; [26682293; 62577698]; [63323261; 54677075]; [1715620; 57423623]; [96752531; 67397864]; [84066044; 1623479]; [35851211; 63270042]; [34315498; 22975462]; [29315062; 41123006]; [78193511; 39413792]; [72309342; 10677013]; [48828052; 11700212]; [4104666; 50123967]; [46487683; 60310000]; [87709297; 91831900]; [19391385; 85794645]; [20178884; 42168517]; [13134431; 78295556]; [38510768; 83348750]; [12423969; 40554556]; [30956372; 21395260]; [58484719; 33924213]; [93286827; 50923357]; [41265875; 1769938]; [22115985; 20983162]; [69627914; 36515050]; [87631552; 96763770]; [74936387; 73877110]; [48092078; 16287568]; [43412812; 47599649]; [81800660; 32641394]; [84616216; 27302694]; [31447052; 97368595]; [31462261; 32268056]; [84854594; 18372502]; [78824997; 66467931]; [51470684; 71289223]; [9555859; 20347965]; [11310051; 71716488]; [67987001; 10179332]; [50936870; 79272224]; [65291301; 9983926]; [83490923; 73304534]; [48341258; 56735012]; [42967595; 2679548]; [46634688; 66800444]; [74664038; 40134162]; [26375179; 67937094]; [59807962; 66104554]; [60442860; 62027700]; [70599069; 42892430]; [19721251; 93774532]; [55278157; 31503732]; [39670167; 56405657]; [98653686; 75023430]; [92785137; 604009]; [25494445; 24918726]; [31966772; 93935561]; [14573022; 41408341]; [15219739; 15856448]; [10281935; 23073885]; [24001265; 49527219]; [38806545; 33784356]; [10344764; 84361254]; [58264560; 31953444]; [25440053; 6799346]; [79920207; 76498020]; [12619123; 72765618]; [86658279; 23223613]; [15531715; 54109595]; [28074067; 91174105]; [40952230; 92408578]; [35533968; 27397056]; [45576856; 91415936]; [59404906; 52851696]; [4471044; 37059837]; [61598215; 94841116]; [67634955; 16433527]; [37188066; 22952289]; [25769520; 85641164]; [44790187; 81496162]; [91765909; 12398530]; [85317373; 35397377]; [44253114; 61357376]; [18210017; 77228173]; [15579002; 49423527]; [45074289; 83101960]; [31420166; 25069826]; [52224528; 33776126]; [33971757; 31487438]; [82915937; 40117968]; [56679828; 21123867]; [81425477; 81274844]; [53141220; 62241000]; [554775; 89554515]; [52891160; 98468499]; [53169337; 73388206]; [40158019; 7498619]; [53198457; 86551372]; [70911007; 77083588]; [49922287; 83908234]; [9083476; 31944474]; [23151172; 43682942]; [92329061; 96018693]; [66376924; 79018792]; [49117534; 75951228]; [51836732; 4710537]; [17165834; 61608605]; [58729441; 99305784]; [57773915; 67742570]; [61684363; 92210286]; [13434191; 58637740]; [2257411; 46282081]; [344120; 4202540]; [99723457; 20047385]; [82520818; 51654436]; [27659098; 27490264]; [18439273; 77419255]; [27823944; 85371408]; [62805367; 83709073]; [25826080; 92740637]; [19255994; 16264471]; [74320709; 32489779]; [18169674; 34039822]; [48814756; 10505331]; [62334247; 9340153]; [18936657; 82566981]; [64565115; 60501614]; [61599479; 60725643]; [87472106; 26257510]; [2636813; 35020589]; [72751751; 27395817]; [94941008; 92178850]; [43892242; 53879648]; [72280410; 48341321]; [29614115; 51208161]; [37663637; 58083900]; [15353139; 95483435]; [95520073; 15923325]; [14581031; 57046824]; [42672765; 2151298]; [82602934; 70331743]; [32652792; 97575944]; [13855668; 96880183]; [63374928; 49764617]; [73501251; 44019537]; [15381223; 53229757]; [77467547; 56361418]; [4013509; 71842092]; [75826229; 83197273]; [71726048; 19749729]; [11168476; 87407141]; [46380028; 83734849]; [61766529; 31689092]; [85901825; 58182814]; [82808377; 98239519]; [11590657; 12816564]; [24463040; 42193043]; [75032277; 46224585]; [22209830; 37249798]; [11372511; 82973778]; [34589467; 20683137]; [22441355; 96724262]; [58941353; 17919760]; [67159164; 35820491]; [41304110; 27984646]; [74314725; 53868747]; [13437620; 50589678]; [25807539; 21628955]; [28560327; 78572157]; [94981019; 31456542]; [5554164; 40972929]; [19239742; 18188206]; [39950122; 96686208]; [62585281; 57418229]; [52735084; 46030838]; [3323484; 90074502]; [78216724; 87888795]; [82990337; 68578857]; [12596368; 99659481]; [85565730; 31853869]; [20950324; 12065332]; [13490315; 41748765]; [97552235; 52797267]; [81717965; 10540657]; [69736027; 45919192]; [7455644; 24927364]; [24013606; 28948148]; [40110040; 29325933]; [5458431; 14012955]; [37533217; 26690140]; [50756041; 46416246]; [65308835; 7206775]; [42429272; 19045279]; [37880113; 72665942]; [60161068; 68373681]; [45281218; 67417036]; [6130897; 54384372]; [2918303; 13423922]; [42884471; 63637290]; [66943226; 80465309]; [69873660; 31571811]; [95814451; 64474522]; [4600960; 11347773]; [85375084; 71140608]; [11871831; 95876177]; [95821877; 64352377]; [84297104; 17935451]; [14349536; 54447728]; [56468223; 34697537]; [69442328; 13341418]; [93655388; 57829262]; [15163629; 77004274]; [68906630; 52812879]; [22061149; 70524761]; [4155382; 60553141]; [9047980; 25649860]; [71009344; 12224041]; [84477162; 13303441]; [43138522; 57887638]; [19567955; 32342069]; [8054674; 23129879]; [74154812; 57003]; [2221558; 68131080]; [1857724; 28714214]; [76588443; 54058296]; [42470857; 51463268]; [22310545; 35322776]; [76488004; 95186144]; [90216839; 44719353]; [13960600; 25561958]; [23513378; 45461301]; [22637500; 18615648]; [57945304; 49973981]; [73019900; 58833171]; [84869152; 65570260]; [81866101; 89450692]; [51871605; 90795290]; [5956820; 92525331]; [46472633; 21083370]; [42904672; 23470686]; [23650541; 48379353]; [75270730; 51925926]; [93154380; 9970320]; [58266131; 24180816]; [45816457; 21548820]; [57045760; 63891748]; [58150988; 57012312]; [7856411; 87359942]; [24981913; 8723323]; [67444077; 81328091]; [4106455; 33971472]; [85962151; 32768997]; [58232582; 12976656]; [57004019; 46803590]; [10585874; 61534602]; [70535946; 85899973]; [64287333; 83543718]; [36796968; 64485518]; [84222885; 90899491]; [32712978; 60394567]; [2628137; 34742853]; [61636956; 28622951]; [50314912; 92980089]; [72485036; 21866362]; [21634276; 54475837]; [59060573; 15083838]; [91570468; 32263444]; [66263506; 83648687]; [88480393; 43408671]; [59930626; 48460786]; [88963001; 87176475]; [11858309; 62399348]; [72270384; 59734653]; [38401197; 87499799]; [39527749; 6106560]; [75128340; 68214552]; [13035285; 66380319]; [85457400; 54672749]; [66146598; 13220021]; [60171510; 13858472]; [84325721; 89144803]; [93940663; 60792060]; [76443024; 8907358]; [30818766; 50937177]; [14258820; 59717241]; [72588867; 25034027]; [58566186; 81202223]; [58215782; 55875208]; [89588352; 60377629]; [34278140; 17172527]; [25099738; 79742333]; [37817026; 25682206]; [54109985; 15058772]; [43354731; 53616268]; [30500382; 27274952]; [40910251; 38536064]; [47574869; 19967802]; [20333447; 57599750]; [42174991; 89959340]; [89411188; 65685584]; [49310702; 68677848]; [55895168; 13623765]; [75893121; 68824763]; [48019977; 4466237]; [33383790; 87609890]; [47851182; 86683672]; [24614013; 99593498]; [21137051; 87840568]; [93623776; 9898417]; [28118533; 91533512]; [63373105; 64962407]; [92961313; 30441621]; [86399930; 89183309]; [69070098; 6055284]; [10734550; 46661415]; [64342316; 17436545]; [51239510; 52172845]; [96954888; 89739971]; [39576698; 16606314]; [59344708; 76206979]; [77293537; 82778374]; [35927657; 87039121]; [36185354; 37330368]; [33732214; 42893357]; [23208574; 7887347]; [39452237; 73925146]; [57079469; 23196310]; [43210076; 78038955]; [41989264; 76975481]; [25436058; 86331069]; [9876180; 93056413]; [6925882; 41688647]; [93426877; 3524639]; [35783564; 94992681]; [90994036; 60491668]; [22774473; 4309126]; [56969871; 69575604]; [28837258; 57175561]; [5504928; 87696527]; [86738495; 88253398]; [25130992; 38644623]; [46168453; 82249680]; [76144592; 12357496]; [97728727; 54812567]; [88976408; 92159886]; [45240731; 59191417]; [11118570; 42331461]; [29899769; 40684420]; [36827385; 12396146]; [11975738; 86419527]; [29131036; 36396826]; [25303861; 86182771]; [34153282; 78505619]; [76449116; 75473929]; [41108811; 12986311]; [37208424; 7389507]; [22368079; 39583130]; [15124158; 70066092]; [33343066; 66666403]; [70128698; 32719894]; [64826332; 54481863]; [7869864; 61818884]; [2580616; 61059184]; [71841634; 61731471]; [84879493; 73714773]; [11384229; 51017759]; [99108150; 10230712]; [73729578; 11479495]; [96772940; 13262459]; [8207279; 82675184]; [29927314; 25617341]; [58684741; 40714075]; [18533844; 73688139]; [17684075; 80707498]; [11853049; 37934919]; [84420282; 25312416]; [8150731; 92413815]; [18065968; 70530567]; [99262294; 96288826]; [56275818; 71599114]; [97969591; 99780965]; [58586751; 79299490]; [44946821; 4396500]; [88768854; 28399161]; [6012966; 31379770]; [79014198; 20564833]; [3480513; 58081917]; [45235752; 33516449]; [23141316; 50121524]; [32099450; 89802741]; [80918951; 19686047]; [32241901; 23752701]; [32454498; 46849057]; [95646818; 3786223]; [5398000; 98502779]; [45757667; 17819240]; [85710762; 42799990]; [85180222; 35923067]; [69646784; 18425793]; [83842797; 43834707]; [2312479; 18238943]; [41147896; 27612205]; [3976066; 92091210]; [832158; 83327542]; [77361758; 75343068]; [53144441; 27157670]; [98364757; 7644332]; [91725072; 7667768]; [89322309; 89401239]; [43912157; 18617485]; [54351257; 64419988]; [4762825; 33007496]; [11465844; 40364102]; [85282797; 35701432]; [59344971; 87529115]; [76220385; 13783100]; [86661665; 10976308]; [83132530; 9002785]; [72998520; 5975948]; [4134041; 92060371]; [57214921; 41413843]; [49769701; 54773223]; [78237911; 14171131]; [6413778; 5144696]; [11910856; 1439256]; [37580752; 90824566]; [89440493; 70924521]; [43143918; 54447145]; [35315512; 84465347]; [55109133; 96066834]; [47556669; 92768175]; [99739995; 89053979]; [7399430; 36723566]; [90065601; 46233178]; [9265336; 76524970]; [19256724; 10775233]; [54956085; 65169333]; [52610490; 37093876]; [15067358; 54045895]; [35110986; 76956838]; [78365274; 79825525]; [94175927; 30225193]; [67663745; 51526702]; [89846696; 86126228]; [95240436; 75941611]; [83814901; 23616863]; [31483330; 78798597]; [130544; 72615619]; [40740206; 69229084]; [25817160; 33712573]; [19196256; 73438352]; [62493229; 14280515]; [42951381; 7551333]; [37694863; 43443554]; [87360004; 90220840]; [53082645; 66657243]; [71095655; 30624735]; [80210748; 18025882]; [81221673; 97546268]; [47015267; 79543872]; [57456492; 78623277]; [50780252; 81512266]; [20835257; 70806136]; [28322333; 62542853]; [19319879; 76497789]; [39398412; 81466702]; [55212507; 64096115]; [21084522; 5155706]; [4795632; 38613497]; [1825626; 5913735]; [45845843; 87138610]; [23242102; 82489259]; [31263354; 39352389]; [3266707; 62395813]; [59364782; 21660163]; [49316012; 54107278]; [93803650; 81989314]; [1553351; 69336741]; [99801315; 45297404]; [50083933; 46226717]; [78256660; 63852458]; [53187265; 87401417]; [3227034; 85996700]; [6592658; 92919589]; [27043573; 56956150]; [69803659; 17373648]; [23336684; 45846224]; [86887959; 86265577]; [53707900; 16077283]; [55300797; 68729682]; [77265476; 20284677]; [66280767; 77778044]; [31526669; 50344439]; [27100329; 66977218]; [53040411; 40174032]; [6964028; 39998415]; [46593479; 32857460]; [18839035; 55321127]; [47729920; 31896945]; [87866073; 68977002]; [48180060; 18400447]; [48530061; 67911619]; [94695320; 59157950]; [20599926; 46383393]; [59570571; 55023577]; [18077351; 19651239]; [35769880; 83506422]; [91619453; 62688229]; [40116616; 95830367]; [79164345; 54436025]; [94998719; 13028082]; [16026678; 23025851]; [76914597; 61157932]; [12977950; 763376]; [29068754; 8195732]; [22721859; 1800777]; [19631969; 2363471]; [26535211; 8712484]; [54243691; 99526646]; [14906314; 51109182]; [64642478; 66678103]; [96324216; 94034339]; [75521453; 3699526]; [13723563; 70737887]; [57493960; 95350961]; [78218644; 96916657]; [37903346; 76385548]; [79317676; 54449559]; [13154748; 73950800]; [73596004; 73645611]; [50350952; 98367310]; [87174727; 57104068]; [76601951; 86396936]; [44899562; 45454812]; [33453255; 86185231]; [13099832; 47379198]; [67443222; 95577436]; [51502467; 42351982]; [89148202; 61030080]; [81832384; 22311577]; [70526182; 48677353]; [27294978; 82357990]; [18558084; 86272921]; [72407572; 49429669]; [11164927; 47593905]; [7305839; 86941382]; [41753743; 57896281]; [63101625; 66374459]; [27158801; 17134136]; [37751956; 55486536]; [69916524; 11787717]; [5436838; 54949642]; [69519929; 68679351]; [93220815; 39687007]; [73483811; 43413410]; [97378481; 10835848]; [22404693; 43438597]; [65679634; 88936568]; [72955238; 49493854]; [17331595; 84251933]; [39131826; 21825102]; [40393347; 46380516]; [24662959; 58764786]; [59414122; 53713131]; [30417506; 25033280]; [23847390; 86059079]; [29994963; 6302029]; [91433154; 90904355]; [16888763; 62204860]; [64350169; 34254912]; [42009331; 78416761]; [2850569; 96752031]; [47261393; 82715735]; [10772082; 25422962]; [64817314; 18275897]; [48411477; 69584300]; [18123859; 94791910]; [11870905; 66110064]; [28856980; 63406794]; [14749328; 81323180]; [83474709; 85398410]; [81090732; 39370835]; [7616965; 27000335]; [21463444; 71567111]; [56454092; 43344843]; [49019518; 7517439]; [32725711; 58767966]; [72512788; 62869481]; [47175925; 11060324]; [14087296; 72950022]; [8277850; 29949008]; [80854647; 23135050]; [69903347; 12481228]; [13906426; 23105355]; [86558639; 37218224]; [42086665; 82423140]; [14773755; 58852247]; [17122170; 12919103]; [3097616; 40597464]; [55550197; 81415643]; [68528767; 50908411]; [35482949; 67418223]; [95181657; 2885595]; [44214468; 16823860]; [56897489; 84356459]; [33544424; 16220848]; [20547810; 52039262]; [57200620; 90314398]; [88050414; 68125774]; [58628213; 76818369]; [6715412; 49063473]; [67488798; 30138781]; [64107633; 27860350]; [25278434; 95644165]; [57464824; 48897593]; [50923409; 60741666]; [59831708; 76252953]; [79205026; 14473790]; [88236718; 72272543]; [79614398; 71292086]; [19519115; 9776472]; [5413074; 31026371]; [28876445; 52148332]; [98028635; 36622646]; [19803875; 39831740]; [3424707; 92194947]; [46415228; 70728355]; [25362711; 4596543]; [23635903; 16403607]; [76042663; 67622786]; [54371063; 20294184]; [83465455; 68715266]; [96989063; 24425772]; [47646526; 59504426]; [91094358; 95377683]; [19012787; 91534489]; [90209236; 60865385]; [61867941; 43515831]; [48144172; 5977697]; [72640090; 75868538]; [39809614; 77905119]; [41206406; 1698735]; [79766174; 96722647]; [79111033; 53667331]; [50610061; 26683615]; [46296442; 11894536]; [58501577; 86708501]; [43011231; 35098043]; [13398630; 91873841]; [5221249; 33600207]; [73617541; 16317840]; [70161945; 21112444]; [97860426; 10910066]; [38023776; 77122716]; [93718832; 2730324]; [79139476; 74505448]; [87143706; 19895796]; [9964908; 42075279]; [77403948; 1213607]; [91552816; 7164302]; [58401638; 9676347]; [70738676; 41091883]; [14077333; 95785189]; [94523023; 48764833]; [24053580; 63402838]; [10841343; 46725075]; [19455550; 19069632]; [1282457; 9697031]; [90021010; 49685716]; [61910199; 97671667]; [19276678; 48165848]; [46272667; 15629470]; [25314522; 74544094]; [11550455; 93587206]; [63113569; 1781341]; [4619754; 19160436]; [64278336; 75353596]; [78004223; 80215007]; [33877193; 93073949]; [33091887; 90768889]; [93980570; 80017226]; [22581446; 74961584]; [28880333; 92111352]; [62410714; 23379521]; [36997570; 34121250]; [8955840; 21648565]; [26042310; 91322431]; [22938968; 57492491]; [63483321; 62011787]; [61072580; 56181904]; [98496099; 58211834]; [99459309; 69541736]; [24369500; 81966867]; [71044004; 9685189]; [40312583; 19503093]; [67519524; 86038171]; [21700255; 42565878]; [4822593; 25116313]; [89952182; 43968384]; [97773428; 47634075]; [96935362; 35116955]; [4661800; 38800872]; [6241888; 13146348]; [75736674; 3457914]; [88195896; 58893355]; [92208537; 82185823]; [53146187; 27919553]; [43141507; 67476528]; [180674; 35393793]; [16339544; 44160142]; [2997533; 21811473]; [78994679; 65930007]; [35881857; 39329331]; [1741836; 66894408]; [11924790; 54948194]; [45445470; 34069789]; [11327001; 38522520]; [89689590; 79079990]; [43856181; 13896426]; [64379673; 25229002]; [86275417; 64654998]; [14512541; 96303327]; [10740051; 44810744]; [76991349; 45583226]; [3604768; 69169808]; [37450844; 91687932]; [1330273; 36630785]; [28205921; 72001988]; [34691739; 51371003]; [5446582; 23429678]; [92074072; 67355060]; [71658763; 13349419]; [8738755; 62040985]; [36128896; 45555402]; [24925259; 65790165]; [55088542; 71137268]; [87696748; 94181126]; [99110127; 22321673]; [82146140; 95368395]; [67245102; 21232244]; [80770502; 98075121]; [28840514; 10197497]; [37549291; 71254377]; [45507425; 45807070]; [58612669; 84698929]; [60334630; 79461901]; [22056200; 74116934]; [54720431; 99931867]; [21231699; 29014781]; [30817560; 93065331]; [18952597; 18532546]; [69304276; 63602621]; [15712696; 53599532]; [43225229; 28396020]; [5910248; 59272855]; [52378227; 45471521]; [21527117; 64335763]; [57331263; 72964716]; [63153299; 35225355]; [51626950; 26252429]; [76216465; 65482035]; [70879849; 5727226]; [1336066; 52771477]; [81618710; 8326759]; [50302960; 72097088]; [92646380; 96472422]; [90657671; 48938992]; [13035234; 39001792]; [23583850; 16408179]; [15265971; 692430]; [85899527; 34270681]; [35141976; 8326776]; [91290893; 86951404]; [60281810; 72123890]; [21286173; 11939828]; [26608107; 80794965]; [35554835; 59974932]; [36544701; 38534561]; [90435767; 99454983]; [9551388; 7833555]; [86370713; 89797785]; [4289203; 16634809]; [49473294; 5084892]; [89212208; 65466382]; [2254601; 5589548]; [93566115; 95337392]; [20614676; 82926737]; [25755414; 20339722]; [10510785; 63102726]; [92667272; 53448143]; [14344464; 72170003]; [76114493; 83462070]; [44579510; 91577412]; [28035878; 93256058]; [95399547; 2607390]; [73722215; 94618928]; [65416761; 5851139]; [69992497; 39033818]; [83895725; 25924313]; [91107367; 38255537]; [3903602; 68508162]; [87428856; 17319217]; [99116325; 21169056]; [73948634; 14708244]; [77279967; 65980561]; [1957232; 96333161]; [24367220; 29792829]; [10799552; 24652233]; [44132586; 17276214]; [69089231; 3441048]; [29861117; 71060565]; [8699145; 46892106]; [49909749; 6310951]; [38265460; 23694195]; [35542766; 86281531]; [87592928; 756227]; [29687650; 19736988]; [47962263; 27909513]; [48817876; 8508722]; [81713403; 37266827]; [13077877; 42546218]; [93068482; 37894649]; [59022265; 40560249]; [16228430; 13719758]; [74232236; 43677558]; [75532999; 29430041]; [66527957; 25582288]; [93056779; 75511204]; [88340567; 39270765]; [170864; 99136312]; [70234229; 37939975]; [13857132; 8063013]; [67059534; 14119751]; [55072057; 82424573]; [85444302; 64485507]; [31803194; 90772882]; [39939998; 71205766]; [24637706; 60444398]; [44251798; 92424074]; [24041225; 49780437]; [84799154; 31378121]; [22892862; 58585046]; [15811888; 48017201]; [37911971; 87754105]; [24819603; 26299554]; [55969911; 49256368]; [4917952; 78784119]; [30377897; 21606970]; [51701127; 60885791]; [29572429; 95077851]; [65293718; 50505843]; [23351209; 57686378]; [45583688; 42048852]; [1587813; 17025862]; [75194601; 12777664]; [67332089; 37877359]; [28622291; 44723606]; [9156551; 62939027]; [35792356; 77029361]; [11407562; 25873690]; [6420150; 72355139]; [13297199; 33541597]; [58056643; 27154845]; [12590269; 96558296]; [52093394; 18671434]; [58697616; 33986103]; [11606098; 94544007]; [88899531; 42323141]; [66592942; 84998681]; [36887791; 49179065]; [5985191; 30368190]; [64341536; 46760569]; [89322456; 99449306]; [884576; 87429709]; [83445806; 81965003]; [64422048; 96512630]; [43317128; 16583470]; [32707645; 92992644]; [18166914; 90745283]; [55331658; 86171351]; [47327497; 99694133]; [20945910; 934398]; [20089628; 58212872]; [28091615; 98548916]; [30886579; 78122484]; [44671179; 26099025]; [29230510; 43545634]; [83052600; 80580922]; [44109598; 52436121]; [93666425; 98680907]; [33916499; 79030218]; [56644894; 78033342]; [74316567; 16174286]; [276397; 37749085]; [33878805; 74739156]; [93509766; 33161179]; [24849470; 18107809]; [78344425; 21232754]; [92484198; 66659672]; [31266952; 36037461]; [81234116; 31989880]; [19306540; 31250751]; [40153438; 47364411]; [2123785; 4505798]; [1738656; 57692199]; [47655460; 21480587]; [11279545; 37549940]; [91705234; 40950408]; [88911280; 44863632]; [66429588; 55002554]; [93486006; 94558185]; [80689820; 60413450]; [8713559; 91224034]; [6982490; 80717432]; [59296646; 97420811]; [54856599; 99679497]; [78716235; 98623946]; [18747576; 94737801]; [54179641; 19877009]; [22757653; 22280352]; [65559848; 53110392]; [9311833; 87961702]; [61539100; 62918930]; [75074504; 65283888]; [53216321; 28313121]; [8632847; 58446292]; [86191881; 91332293]; [66411407; 83908813]; [97293931; 56538953]; [36747973; 92538240]; [82502022; 88580831]; [44623105; 12937532]; [33148315; 63152564]; [1413182; 62906321]; [34543984; 1392156]; [6084158; 43932441]; [81462693; 56489302]; [54572952; 80853338]; [72482925; 43756874]; [59398246; 68700579]; [14720683; 71221206]; [44969164; 35905574]; [20693968; 15191123]; [8075520; 43233579]; [57229742; 43978054]; [67947868; 92340007]; [1008682; 75892015]; [3673136; 86745232]; [67289360; 83292787]; [94994056; 96908237]; [40396008; 80732860]; [18105425; 36769302]; [23777326; 65890635]; [89009831; 79207518]; [27509774; 60378092]; [36661989; 65855763]; [52642370; 76882038]; [85335798; 21326558]; [43501692; 35734903]; [62303751; 4480001]; [65425152; 74081187]; [25401803; 39413172]; [60407808; 85281898]; [35240596; 90495859]; [26307505; 48762431]; [35140924; 42396026]; [16775902; 96110845]; [62695027; 91640781]; [76124127; 16248945]; [96130090; 79060555]; [29459806; 9176410]; [18536494; 55166074]; [78989258; 48275500]; [98420556; 11173939]; [46962392; 66420201]; [81765879; 29090333]; [49062555; 30259221]; [10964691; 34809956]; [2099901; 27974606]; [31931821; 3769265]; [89241902; 10237521]; [31506749; 37605765]; [30956837; 88933966]; [49554572; 54162616]; [77967891; 63780256]; [1120244; 5266541]; [78053347; 89671695]; [59154468; 29091376]; [15711601; 21100266]; [43216852; 11336612]; [95171923; 67499762]; [91808228; 17835101]; [8685624; 14079125]; [97053131; 78200303]; [37524361; 35250437]; [14596852; 90911214]; [45718458; 52268184]; [53697584; 41751241]; [88595408; 74364745]; [67139711; 78557909]; [12627850; 55421773]; [47170736; 30412911]; [78895163; 54284089]; [90836675; 62449427]; [94259151; 59920450]; [8624991; 73062621]; [97547449; 43260186]; [6007233; 5169883]; [77553243; 60452485]; [5458140; 50577069]; [72805456; 79328948]; [4763465; 87124353]; [89242742; 20309176]; [30870121; 33329833]; [44778590; 7186900]; [37939757; 35321523]; [43310753; 72223112]; [30295056; 1679400]; [43615546; 13578008]; [43560722; 67188752]; [20699704; 70900584]; [76279483; 21523666]; [5411299; 49892063]; [52913883; 49511093]; [42608212; 7779803]; [16545797; 20643862]; [76544681; 38668399]; [20014782; 26632790]; [97057242; 33537450]; [69006884; 52802046]; [72150565; 40498491]; [71553192; 46176475]; [45064787; 33201833]; [91948517; 37703030]; [11712690; 75551513]; [28181236; 49057195]; [31176833; 44121503]; [50899300; 66279435]; [81676339; 56224842]; [32389763; 4654707]; [87842245; 32997907]; [40430898; 31312340]; [33569369; 70623690]; [8897034; 4219361]; [51322844; 1739070]; [73659298; 25206341]; [17282610; 7480199]; [83317784; 16584947]; [4102834; 30929580]; [99873169; 61699945]; [5636045; 38479210]; [44309322; 19925314]; [34414606; 73664317]; [80492193; 56100123]; [81296851; 76002838]; [15217016; 87323622]; [22444157; 25691631]; [60926916; 75956194]; [80690241; 77416194]; [34501429; 13075615]; [21273490; 83220272]; [81237817; 11098623]; [89221372; 76262671]; [20850510; 82888349]; [95152509; 89325201]; [35732654; 38078127]; [40836764; 88383011]; [67389825; 85131655]; [75405915; 30863867]; [50320073; 78827797]; [6573025; 83316388]; [76700714; 72651804]; [55395650; 68759297]; [33111829; 21205523]; [41407197; 62575552]; [86456006; 30351641]; [26581139; 44625651]; [26365837; 32819306]; [88174734; 85813119]; [48616846; 88039845]; [98514354; 58120540]; [24640225; 40758588]; [27354490; 69556342]; [73837716; 43012948]; [47018386; 99772348]; [14935354; 90207416]; [31841726; 25439498]; [11387400; 99975525]; [22332212; 66084917]; [2468089; 98767396]; [22905109; 76211798]; [54306156; 4607176]; [53691029; 62478135]; [43716862; 99389103]; [39344469; 2357358]; [41294427; 93406179]; [78386284; 16938954]; [29356742; 83132244]; [20712284; 41357945]; [99216438; 26920204]; [54222198; 81580169]; [451362; 47024300]; [43374519; 6430380]; [88710097; 6659480]; [12190958; 88542610]; [55737515; 55320026]; [78052066; 19505548]; [32159579; 22434923]; [74034312; 36481941]; [94817059; 33357540]; [15735709; 6168807]; [40883027; 3297899]; [56181181; 31590882]; [12524259; 94457274]; [51084067; 16404976]; [7204081; 42729558]; [64759083; 3556266]; [4146585; 92285906]; [1366706; 26507518]; [77771183; 51106830]; [92333817; 69253016]; [73000737; 43545150]; [30357140; 14342559]; [44452150; 75704569]; [75788407; 98528654]; [58622148; 64132725]; [35928461; 32492516]; [36692747; 72632871]; [82265939; 3899739]; [72294138; 64304257]; [49399859; 9444939]; [29384557; 64321172]; [93439399; 12372684]; [85232450; 27369867]; [46687632; 10906036]; [65214235; 58640029]; [21394479; 68461460]; [44595584; 73920493]; [23756371; 1496834]; [60396646; 37645705]; [42379992; 61975017]; [87554758; 15144009]; [47734355; 35623195]; [18785281; 62702503]; [14554043; 57971519]; [7460379; 53595719]; [31218836; 85937935]; [49801204; 70821742]; [50152174; 87641499]; [65653549; 40699021]; [68368929; 86584916]; [72365052; 81273309]; [34982686; 72853930]; [17064352; 8154362]; [95441309; 94094290]; [46752732; 22301293]; [29278119; 88208516]; [76865047; 29013901]; [82557663; 38244721]; [37952472; 50733881]; [82665876; 71587394]; [66446011; 85645019]; [14986007; 6584949]; [9333428; 43092117]; [72750233; 99124055]; [22732695; 54613801]; [57093042; 93002670]; [4423283; 4736796]; [37224887; 391343]; [34398464; 8743815]; [75960515; 43134937]; [7311411; 10821119]; [82463130; 95701043]; [44136390; 57897453]; [61594334; 45366422]; [86298088; 38266272]; [143234; 95954174]; [24793100; 18659241]; [79657150; 28846880]; [48694973; 67663569]; [73265494; 75265954]; [94253040; 12353729]; [52592250; 26060262]; [42588522; 34646907]; [65807675; 16850997]; [86496081; 95121244]; [97237637; 66163442]; [5968092; 95290926]; [44028524; 17903776]; [68503139; 91927796]; [10738004; 63016467]; [94265495; 76577399]; [94506043; 94795571]; [44353564; 56448566]; [92230862; 26443218]; [63453431; 60477470]; [74938944; 76144798]; [81562714; 14542408]; [30256418; 69633561]; [31288740; 70389082]; [55302044; 57798373]; [47005505; 60840844]; [84252602; 74694067]; [85287219; 89758946]; [42719604; 90560798]; [34224587; 90265883]; [23035219; 7366776]; [55965013; 97847987]; [2382365; 5616227]; [38561484; 38049190]; [47558471; 54442171]; [63633067; 25633373]; [20155206; 47127571]; [80685011; 26083632]; [97996202; 34159238]; [13601273; 96142040]; [98357616; 31947039]; [88641136; 69873164]; [11046784; 28658395]; [37908974; 13950630]; [8888960; 67054837]; [18639265; 62623748]; [78284883; 73067381]; [72351077; 18286151]; [64893249; 76506521]; [23163685; 2018471]; [5575499; 78209196]; [26763355; 49278035]; [82376120; 18228629]; [91237448; 45287646]; [78705298; 33916901]; [52470917; 67472218]; [70166790; 59596341]; [3188836; 93056084]; [10772031; 80734556]; [4938283; 35290621]; [46928390; 68935852]; [11022426; 2810434]; [77254924; 48489888]; [21434507; 35664551]; [3937055; 9316916]; [68768226; 7342870]; [79346568; 28660517]; [46956459; 28926511]; [92803221; 24760033]; [68430246; 43256680]; [53498462; 17927523]; [53634473; 75309541]; [61542288; 96386414]; [87906085; 44089437]; [99514843; 86423205]; [6409338; 8322546]; [41978974; 76807816]; [69324904; 1665038]; [92753195; 32095884]; [47137562; 5174619]; [90802182; 5614274]; [14520916; 43358754]; [78509264; 64933531]; [54752707; 3612223]; [85126895; 56186801]; [52572618; 68764176]; [40412938; 2529720]; [79615126; 29665078]; [63516370; 14507342]; [72593426; 58828511]; [96559495; 55503366]; [35792479; 46948869]; [17398888; 18188112]; [99543278; 33636578]; [77670309; 44543327]; [7463744; 61597915]; [80245557; 78162273]; [39749114; 40734656]; [18937631; 75037042]; [96800705; 85699181]; [6103569; 20153603]; [65429512; 88188465]; [53880984; 3776864]; [31903298; 49363779]; [99443032; 78980618]; [76652947; 83603730]; [13465802; 78178535]; [81095927; 60634068]; [43318804; 94449777]; [20175306; 26379751]; [3499354; 42718784]; [81729157; 99406579]; [38322181; 8525137]; [11585673; 67658899]; [64603833; 6218994]; [56604713; 51612398]; [73310073; 70619751]; [68627647; 8383110]; [61276215; 54017174]; [15489514; 15691476]; [85002717; 27063897]; [86634320; 78444567]; [40531744; 49644811]; [60809942; 28188767]; [18987166; 48944003]; [58960939; 77158454]; [50248736; 38901539]; [38131544; 77982927]; [49984249; 12156334]; [69175281; 66639521]; [29363133; 25121137]; [96302125; 12772294]; [79875715; 84786016]; [95123981; 59577035]; [94325972; 3182675]; [77846685; 85439980]; [96744587; 61087453]; [60804489; 91434914]; [15987201; 33016118]; [60269432; 63671292]; [89174860; 30888595]; [52057050; 28400515]; [23997515; 7359696]; [32760471; 57350268]; [17797378; 38738750]; [74726032; 6606680]; [99798442; 35461887]; [11475638; 22861714]; [15615281; 89554749]; [36430771; 33464390]; [39297454; 1670309]; [96169495; 90590304]; [21435159; 4208224]; [92535374; 7385340]; [62906989; 59598959]; [14967521; 16110307]; [74997257; 29418122]; [82673136; 69525517]; [55797027; 73089275]; [85858692; 19972712]; [98471147; 72122595]; [77706631; 86413622]; [83714303; 52552375]; [10308484; 11741024]; [54477871; 23530749]; [51225527; 56310766]; [24633170; 89488343]; [35189017; 90883299]; [97748656; 98640761]; [25892485; 51839589]; [97815793; 66658404]; [8918169; 89380051]; [78434858; 98271347]; [59628654; 98042866]; [10019907; 87873758]; [9210793; 3262365]; [63090691; 10568217]; [16599481; 33739559]; [17040580; 59682819]; [33454015; 59091600]; [10596743; 75280747]; [86166411; 87998038]; [14049730; 97332862]; [13622906; 87362319]; [40904698; 59316580]; [2135678; 86442645]; [34703779; 7365279]; [20283630; 46931135]; [59906324; 6070000]; [89711122; 32929586]; [53997364; 69580053]; [66826501; 5543668]; [82781575; 79761936]; [10925064; 23528499]; [25192290; 75566787]; [97162188; 50378723]; [5511265; 48166019]; [66876444; 56717248]; [35592368; 65789716]; [41418304; 12521701]; [13775130; 59793238]; [53490392; 25658202]; [88512069; 52777113]; [30390386; 41627319]; [65155273; 1894848]; [10764603; 5943230]; [81548574; 14057461]; [3272707; 27711137]; [68041275; 90890012]; [52820187; 24326065]; [51236101; 99635804]; [76048704; 12044038]; [22636918; 40245791]; [46376900; 83340341]; [91795772; 6740119]; [86328038; 66130542]; [88269286; 59213804]; [60992528; 76329881]; [78453442; 32886404]; [28653257; 35088280]; [84987943; 8237137]; [63057907; 15305228]; [25588309; 96344732]; [31436975; 36487793]; [22068547; 69702677]; [17821963; 3357702]; [27421036; 85823232]; [26196625; 12390413]; [63486449; 89777221]; [37510701; 79287193]; [85117079; 65306649]; [48808868; 71751964]; [94018184; 50601724]; [89771231; 52890663]; [32330366; 79009471]; [7720041; 4411037]; [81594414; 84798890]; [12036798; 85049379]; [53054667; 68786264]; [19511547; 1536147]; [16327644; 70616226]; [41699607; 46503048]; [215706; 34493765]; [35347653; 16573577]; [97165764; 87233073]; [94959101; 66707062]; [58535531; 42208058]; [19937590; 90332030]; [73643205; 93742754]; [38274060; 47013658]; [430707; 23204044]; [52066110; 70631449]; [18214897; 43490974]; [37756389; 84125573]; [26084891; 78151477]; [3392732; 29279263]; [34876137; 70112109]; [86216609; 47638828]; [818157; 66606148]; [49750020; 39086528]; [12921772; 32630067]; [25502957; 51055485]; [38671352; 39199353]; [50380298; 12198817]; [42673748; 34716544]; [37289772; 96444164]; [40171859; 64712953]; [78833831; 9846058]; [39333226; 13081808]; [96939792; 28446415]; [57075374; 28170781]; [48163790; 35792488]; [34558757; 55244249]; [86826392; 42723216]; [46598240; 8766654]; [33874465; 67142207]; [45800505; 14456124]; [36505825; 69058679]; [42095303; 93125002]; [4727190; 5125999]; [4798549; 13862019]; [56456303; 2965784]; [53552501; 90896096]; [49990757; 7126691]; [24861205; 98436641]; [34038232; 3965784]; [29167415; 71796335]; [38861161; 35025995]; [12433377; 81385780]; [89305963; 95113449]; [37223667; 20935817]; [34637564; 3423377]; [66618892; 46419881]; [64271691; 11454379]; [11143335; 85430641]; [41551333; 51727269]; [34991146; 57509165]; [26251319; 71724251]; [15980627; 67643768]; [78700713; 3401742]; [33713998; 19049660]; [74622081; 46828137]; [27029118; 3759269]; [23963720; 86608674]; [39871464; 3721520]; [70594138; 91054475]; [79058565; 34798179]; [58968094; 55244488]; [18655454; 69447623]; [85314608; 68567642]; [36259599; 32400674]; [44990810; 95938490]; [30472249; 96554610]; [35404913; 17730092]; [99391106; 45867696]; [11271723; 90561760]; [92475976; 65009193]; [97828249; 73251272]; [80312804; 55323800]; [41833486; 80875011]; [80160568; 25358191]; [92144801; 28568106]; [70528778; 5533559]; [4913528; 2791121]; [36636905; 49284298]; [3485586; 71257812]; [30079172; 67672578]; [96266436; 9936285]; [17995670; 23258931]; [3263176; 83392265]; [51931628; 71631916]; [51989288; 96954657]; [46483114; 62700434]; [89262382; 80236135]; [22157906; 66416141]; [4121187; 31225415]; [50779038; 58222935]; [48537588; 74793340]; [62527834; 62288535]; [27074969; 38489588]; [30623705; 8560885]; [49305239; 17406142]; [39387848; 74901507]; [59738925; 82854909]; [312715; 30987888]; [81242538; 80901464]; [78566601; 44534733]; [71725236; 62151921]; [43718525; 18215092]; [58121274; 13266915]; [35327617; 44008677]; [36189455; 82167869]; [94495908; 33823855]; [23576067; 11475873]; [61263581; 43490091]; [96182144; 27677080]; [4466839; 59773502]; [99423574; 56305714]; [14562454; 55986126]; [61940524; 93292378]; [55172371; 85731332]; [27242643; 89035216]; [52682228; 52145808]; [83279675; 80346575]; [10176737; 50753148]; [16471985; 78733278]; [73184832; 93646641]; [64197154; 65955799]; [84640047; 17359022]; [55050453; 37479040]; [59724131; 469980]; [7405414; 26590684]; [74394373; 97364127]; [35788087; 66697993]; [61266352; 86944149]; [16925518; 36848501]; [91661888; 23455882]; [32146750; 55059447]; [93085136; 85442043]; [12357790; 17195433]; [21033462; 73231934]; [20562711; 3131316]; [50358947; 39317064]; [56407891; 96071975]; [48277057; 12165225]; [43816229; 45175059]; [3217078; 73354604]; [3461337; 4956307]; [48167207; 79241231]; [34980668; 74381021]; [91298751; 77162918]; [6111297; 35104056]; [28917068; 13954891]; [89759999; 49326323]; [21304518; 7286748]; [42344882; 85558629]; [27560726; 65234641]; [54461842; 47199692]; [79670371; 42337702]; [52598950; 99959839]; [15584006; 86375639]; [75534721; 80114625]; [95466078; 49483886]; [82306482; 63830301]; [66790436; 98094846]; [57724152; 53858517]; [48433382; 48798354]; [71129371; 79021989]; [4283478; 9912476]; [13148349; 87441380]; [40172037; 25739926]; [43561873; 52115548]; [12026864; 51943383]; [62371695; 88953425]; [6769496; 272921]; [39825925; 31505379]; [16096521; 71796775]; [86035451; 79926569]; [18205621; 92970723]; [89756793; 94156235]; [26103200; 99361268]; [34001059; 4295301]; [63227331; 81810158]; [39301602; 10742735]; [21114482; 38862564]; [46899588; 20555758]; [22567858; 87473510]; [64643081; 4035401]; [51842983; 44342040]; [76829207; 55777158]; [70508024; 75858464]; [86044055; 10258293]; [66437748; 83328251]; [85317146; 65058539]; [55597923; 80889866]; [82616235; 49026111]; [56926561; 46817876]; [77901963; 24103631]; [38385608; 19371836]; [43770980; 30676656]; [71794678; 58959223]; [39460718; 57288827]; [9039176; 61290943]; [26984839; 12155780]; [69333864; 14462358]; [15589985; 36943824]; [38803926; 55455197]; [93812400; 61107535]; [65962306; 31248393]; [97228054; 58372367]; [68307027; 18477626]; [33405467; 51250506]; [3734597; 36969231]; [93561086; 7389100]; [81770532; 57675867]; [59113848; 77027359]; [48488506; 42647920]; [53628391; 74020252]; [35273849; 68652615]; [54643678; 97706372]; [88960288; 72572642]; [74169916; 71972073]; [84316945; 34114716]; [50008174; 30164668]; [35913711; 29795166]; [35445496; 25800750]; [46829010; 16886755]; [98020862; 91972280]; [75800235; 13523405]; [40799685; 96191766]; [8495523; 4901436]; [56009085; 29903240]; [24997613; 72446944]; [37811486; 18515637]; [17016338; 64334546]; [42052316; 99746518]; [31424049; 59535761]; [72710943; 17366004]; [1721111; 71224359]; [47346058; 23016830]; [21066904; 34105711]; [53148096; 56181274]; [68609671; 998499]; [31075254; 37059050]; [744006; 59297204]; [71964368; 43028650]; [85656925; 44057516]; [56084000; 44555700]; [71920841; 14794102]; [91124274; 77383467]; [69557801; 83638572]; [7373450; 43961866]; [49458295; 56507112]; [3884816; 71968305]; [83566457; 2069526]; [7895297; 11593144]; [91929006; 90392490]; [21457050; 75904537]; [93367363; 83636866]; [95731074; 15526851]; [48202522; 58588431]; [45095615; 87592747]; [98910502; 92790061]; [82475574; 21204177]; [90685129; 75540306]; [93168713; 69090413]; [96528589; 34946210]; [73158472; 52769839]; [92824963; 45682144]; [44554278; 97513952]; [91981048; 50976522]; [3075495; 65541052]; [50243798; 33312705]; [96994120; 38693833]; [69975048; 39527701]; [72797128; 56989662]; [3988245; 71145130]; [36479529; 47553633]; [17938928; 26863871]; [76924; 91702069]; [20227606; 68507227]; [53164777; 10952120]; [54455601; 82557279]; [22165557; 91594989]; [24076007; 16535152]; [36849818; 12106715]; [52589238; 20645934]; [12829758; 58432675]; [61481789; 22427038]; [70640594; 29123381]; [13834754; 14531590]; [18211746; 47805754]; [58100535; 38368657]; [57306400; 45562257]; [30426533; 97102464]; [25824436; 60356316]; [74985445; 7436113]; [97384689; 25841198]; [4156384; 18396739]; [42237851; 705606]; [12871080; 68728640]; [63721798; 49945747]; [65783367; 40205029]; [7230809; 99516406]; [67611663; 46642664]; [90263000; 81940008]; [53760861; 83599851]; [94584986; 68195136]; [73505187; 68020902]; [73365495; 12244655]; [58491334; 20530489]; [57482273; 6032282]; [90766381; 38098470]; [9751705; 44551184]; [67731955; 23952355]; [88490750; 27424634]; [19504465; 59252178]; [10728328; 75206328]; [42043928; 38977052]; [35182706; 16339596]; [81748899; 35051577]; [75322704; 56348047]; [62164914; 90078767]; [14838217; 53205558]; [98309571; 37696941]; [93027537; 95880797]; [58464173; 37630114]; [29702634; 48723290]; [68011603; 26000581]; [79359178; 91702514]; [52896009; 2335024]; [39071323; 20303591]; [2713063; 11297908]; [70410011; 59631246]; [54811318; 59361265]; [90201044; 8642596]; [26371811; 60376223]; [30804991; 27455037]; [6525596; 24113101]; [42186335; 33183978]; [42207007; 87234929]; [72210467; 29135735]; [24758876; 67331622]; [623242; 20621660]; [39544507; 55375034]; [5976210; 79298952]; [70942444; 33070105]; [1361399; 6315106]; [36772291; 8368851]; [19162560; 46839145]; [42693534; 5583585]; [59771917; 76236576]; [23422123; 86163570]; [31651191; 84121759]; [74076900; 17058399]; [88776427; 62386777]; [28542555; 39014913]; [12353075; 41416557]; [8638076; 1033831]; [31146680; 76019804]; [51639978; 53187101]; [15441498; 33381392]; [29539843; 4081778]; [78839589; 61921525]; [93684257; 87070463]; [70621582; 13227123]; [45609637; 12718605]; [88517714; 9304883]; [68570896; 75115130]; [69474402; 7133640]; [97591181; 98113327]; [83011537; 42164412]; [94070714; 86045171]; [39069709; 97273908]; [21156580; 2538580]; [65982700; 4241724]; [77338879; 68835052]; [18799894; 5793856]; [39837570; 70806434]; [20570072; 34124231]; [14045451; 54661929]; [85617559; 16288767]; [41044255; 26313821]; [79248062; 30263353]; [21632032; 91243568]; [72249835; 46528317]; [65921500; 81501385]; [66488258; 2213407]; [57466164; 22563357]; [59032597; 53206290]; [83759070; 31616331]; [70322059; 26245769]; [91361358; 86025570]; [12046123; 3683637]; [23367419; 18594508]; [70837609; 19910620]; [29075549; 6786946]; [87759589; 438383]; [7001570; 16884243]; [32882845; 16429954]; [35034497; 7204739]; [97214892; 62111791]; [11482089; 75844387]; [87306701; 82754851]; [76817742; 35692786]; [15899935; 15749898]; [58640091; 87163734]; [63099643; 19168421]; [86900342; 89114490]; [54964393; 70635023]; [25936640; 95407990]; [59055516; 29482762]; [7084738; 2961343]; [42249606; 23180734]; [92278817; 45359396]; [36180165; 11311034]; [74709801; 96766519]; [62642792; 83469638]; [44893820; 30194187]; [40742584; 75698850]; [51298968; 9061246]; [19226120; 25537415]; [79863718; 17728655]; [5464687; 98701590]; [59486301; 84391184]; [79375373; 74791417]; [20876022; 77407581]; [75162150; 31202645]; [20834182; 37337834]; [9361155; 78175734]; [41540849; 84907096]; [46235498; 67297529]; [10832742; 67576130]; [70761620; 38218840]; [51121871; 23204243]; [56869610; 80654289]; [42135068; 43372375]; [39712950; 52576845]; [44110268; 46391372]; [59046355; 75121993]; [17563632; 80247013]; [94991618; 20612933]; [18059934; 33714462]; [10697716; 52950340]; [21559517; 64505029]; [56086820; 230901]; [90642364; 55249809]; [80153614; 46975266]; [15752999; 14124745]; [63810194; 54553931]; [24409222; 68846875]; [11837954; 27826588]; [48145579; 49850800]; [7156739; 1240014]; [45332065; 59354915]; [74947597; 98961023]; [29542681; 48894796]; [53983500; 83596607]; [68557982; 83586668]; [76724238; 12348775]; [68006738; 74486401]; [42306640; 4596944]; [12614852; 96866943]; [39136143; 71442436]; [25613484; 99295330]; [82759217; 41362967]; [96779324; 85115696]; [5162686; 55211871]; [3151713; 4365610]; [2723159; 13472834]; [72178304; 15099314]; [49619072; 47892630]; [65618386; 45227327]; [21111460; 46884952]; [80045347; 66941296]; [59995956; 34759262]; [17665719; 40852529]; [4725407; 44506192]; [32919228; 34880001]; [59605532; 36074800]; [16084591; 47281251]; [89405223; 93547268]; [8988235; 94985138]; [9914397; 78741681]; [81591738; 4155763]; [97404333; 75774653]; [58729460; 80887341]; [81417744; 35664128]; [12635528; 18029144]; [44249160; 26610846]; [7966956; 5661292]; [28546918; 28558499]; [53985769; 51241761]; [18614330; 57824639]; [27591970; 58814135]; [7267929; 8409990]; [664958; 40267344]; [95872223; 2170467]; [97513458; 45845679]; [62001278; 67297165]; [8489604; 25873343]; [77199151; 10892530]; [51625006; 94834538]; [36228910; 98026716]; [5554416; 70803308]; [54366445; 1261069]; [72409556; 46858292]; [57439668; 99772015]; [45662493; 5221414]; [58562652; 46515657]; [22308373; 21655836]; [21225271; 47565857]; [85444905; 44757050]; [58032157; 62785445]; [12993683; 21057829]; [89610220; 11517191]; [59827644; 28393029]; [68510512; 15406217]; [93084215; 75971655]; [3293111; 88179753]; [5229389; 34633523]; [31469309; 42527708]; [46187762; 56470667]; [29687574; 40755116]; [65407894; 5092513]; [42370350; 11195898]; [60368111; 48457650]; [88613433; 67218232]; [17818764; 57147190]; [20748195; 81687521]; [45333466; 60009077]; [52668448; 44470213]; [14093645; 56985204]; [13984617; 85734996]; [97009772; 78431305]; [99838865; 84347963]; [51598734; 57486946]; [80815280; 50387876]; [9643541; 27498839]; [14967688; 66007428]; [40669072; 79466233]; [4898635; 72472905]; [42590236; 4005400]; [92012975; 51572898]; [78599207; 42674712]; [69984705; 65481603]; [99336187; 58745010]; [79342712; 25521584]; [31927675; 85029971]; [57376091; 94591524]; [20645367; 55411665]; [65558470; 91948952]; [10053860; 36547134]; [87861215; 8692053]; [6432888; 33711350]; [89476696; 60448327]; [26871628; 24917457]; [15251837; 50876130]; [57050093; 39384606]; [79922749; 68166843]; [79096626; 93438915]; [76719199; 27237344]; [36247851; 29801794]; [84184972; 7158233]; [21793538; 45028927]; [85921560; 45470013]; [72640365; 75380022]; [39483404; 95295517]; [811868; 93097464]; [23508197; 62786505]; [71515646; 94324021]; [35024944; 6891963]; [64852349; 73088578]; [92262980; 85888698]; [99383433; 48128108]; [96666225; 21792662]; [12571803; 56087613]; [4822259; 92563940]; [46305604; 84011463]; [1890606; 25896485]; [80106312; 31512593]; [98050417; 83512589]; [16341145; 83418314]; [95974563; 5097212]; [20066534; 68567009]; [77582282; 89322860]; [95874869; 95508254]; [14571703; 9439524]; [64028001; 71842552]; [11924531; 44532197]; [74548467; 17620239]; [76306309; 41314902]; [46220524; 7105404]; [51896215; 89489946]; [65002730; 91448678]; [62535733; 37112800]; [47865909; 3500076]; [55441209; 58903613]; [19200876; 45247405]; [63059530; 35701631]; [98848421; 26416558]; [63887683; 1410747]; [11175753; 61098042]; [45332533; 81549518]; [22238463; 69188436]; [3359424; 16425050]; [53705769; 55061388]; [29944949; 21359272]; [57294456; 90646730]; [67585217; 58508928]; [22253136; 88960909]; [20194827; 73237197]; [52490706; 20871703]; [92262688; 72802558]; [89231110; 39039813]; [84179353; 17076990]; [19863069; 37863921]; [75387022; 78031187]; [46739184; 18139562]; [67466258; 52794539]; [16146165; 80907499]; [82581470; 71918608]; [68360985; 56065229]; [58259849; 66999243]; [34679773; 48087938]; [3878932; 85958012]; [56401862; 23183037]; [21712050; 88429464]; [6451954; 58913300]; [63002666; 4398837]; [87936670; 30321619]; [30513479; 42567997]; [56070382; 39140215]; [51097683; 57107994]; [7927222; 54451480]; [82203209; 38477122]; [35831558; 92191773]; [36083529; 5105376]; [37527149; 29428391]; [84751738; 39431866]; [13792786; 82841684]; [95785786; 46151227]; [58851517; 46458901]; [97529198; 72804021]; [3725337; 24359180]; [92078759; 82651142]; [15127160; 14678221]; [98098688; 72700951]; [56213933; 43665894]; [59346092; 29074281]; [556838; 94822794]; [2655349; 20898271]; [18962064; 41826857]; [45904829; 13168071]; [57127739; 58772242]; [31572568; 18186061]; [1220478; 39414634]; [17253655; 55894519]; [11965150; 30708050]; [83461397; 53194320]; [37578795; 43936200]; [78223213; 11725308]; [601563; 1623144]; [86495518; 35233996]; [4756258; 87504329]; [89751706; 32310112]; [15081296; 22076223]; [59167730; 74846609]; [75708479; 21959333]; [40147138; 99681437]; [29354302; 59155985]; [23513126; 15206608]; [11254767; 17324077]; [75911760; 92898289]; [62726542; 50821007]; [2155090; 83472578]; [23705070; 72866712]; [30261479; 19120101]; [24546492; 29906252]; [55998543; 22972823]; [49273249; 71662389]; [59937322; 64044747]; [81631838; 10698804]; [84211208; 3843941]; [27404008; 61115692]; [29246052; 87696940]; [7848779; 51879389]; [98878594; 94780819]; [80982818; 96303432]; [79689637; 62020267]; [29743980; 49194122]; [47201184; 46550771]; [21814504; 99786214]; [18541728; 90066833]; [61976989; 45893646]; [19906912; 50979851]; [41595689; 18154238]; [70650239; 48334818]; [89619857; 12731712]; [17816440; 6731114]; [95706455; 11220932]; [50171102; 83956790]; [96457088; 40877467]; [84159669; 6386325]; [27806785; 96556617]; [28690555; 84169116]; [83990740; 23982404]; [83472524; 83053142]; [88145339; 81835458]; [4936264; 58574455]; [69985796; 13501186]; [40130628; 50610938]; [83532202; 89667414]; [85971885; 15315673]; [13671514; 47304458]; [58710289; 35463473]; [22467982; 84097653]; [56916794; 65332082]; [69841118; 84814051]; [26337756; 15980800]; [26319536; 54838895]; [8751841; 23476193]; [41871974; 25570317]; [41642914; 28775716]; [79612813; 38198662]; [67464731; 94440090]; [12395625; 80685657]; [38483510; 21877818]; [13254469; 31137789]; [85009606; 51419656]; [80554800; 73769633]; [43928860; 94197254]; [31283418; 34879848]; [58015454; 72012958]; [49476030; 67851763]; [41541869; 55696291]; [29973098; 71467427]; [45110249; 76520687]; [43855245; 59638425]; [29387043; 69310675]; [93154955; 92544025]; [43259139; 28498102]; [35225699; 42288885]; [78974820; 69287649]; [32317369; 1483623]; [12733388; 43279830]; [79399607; 21796045]; [83890310; 1625913]; [25873433; 4398662]; [54647750; 93679050]; [31473856; 14450453]; [76955116; 71178287]; [80429239; 85018322]; [36146239; 26175572]; [22288656; 36148887]; [95006456; 40480695]; [78648066; 59459255]; [57081367; 44460095]; [63823828; 30561856]; [42083000; 62135668]; [43956105; 8832530]; [55828431; 97382105]; [61166074; 3754483]; [69547957; 61193732]; [20611249; 84581027]; [58613599; 71694833]; [62852866; 81437099]; [80230665; 5010617]; [12153538; 72505401]; [11862122; 12341154]; [50056761; 97851262]; [53167696; 75030918]; [51708511; 38087437]; [21939802; 57452696]; [53754388; 81874917]; [57960743; 274750]; [88188858; 32071191]; [26376546; 28946366]; [9985034; 85833644]; [57975111; 11354745]; [63311756; 15144666]; [91532373; 941054]; [57455415; 65847588]; [39494601; 50482676]; [31444411; 65043547]; [42409721; 27013292]; [81183596; 2688437]; [26097441; 92875910]; [41516657; 61850753]; [54408059; 35276839]; [67163217; 96692453]; [17522159; 36801761]; [86382632; 78868845]; [4869088; 62380627]; [69635106; 43848864]; [49034302; 95906115]; [6071618; 68727621]; [66242241; 28397335]; [44534404; 71956357]; [200889; 4169031]; [46824691; 58761188]; [67400077; 14787416]; [8949826; 81805323]; [17773423; 81364956]; [72212577; 98865399]; [19566856; 26428416]; [12543247; 51799769]; [84906975; 87757010]; [82780171; 14518237]; [70690456; 34678200]; [33191687; 28158616]; [26795940; 42583702]; [87770596; 66452967]; [80344087; 92336389]; [23538281; 71739886]; [12554096; 57020509]; [90178202; 21925586]; [96176505; 24225712]; [62265662; 57424230]; [51286932; 24809637]; [31311104; 24184222]; [83842632; 45928212]; [46540569; 63734367]; [74700272; 43171052]; [92580190; 59430583]; [19749193; 94276623]; [91502033; 28648253]; [58765811; 22362534]; [4118210; 72346693]; [89236446; 30116043]; [59797057; 9285432]; [37597356; 22488300]; [30769638; 41829446]; [79634584; 56412841]; [14966798; 61315762]; [83879889; 61592582]; [24653027; 89809661]; [23476540; 78302912]; [6128059; 13874111]; [54239187; 98194683]; [7647407; 26977363]; [81698991; 12535888]; [54036619; 74204317]; [23763746; 42457751]; [46441803; 51846064]; [26712172; 87258005]; [22766940; 8171874]; [95490212; 60670532]; [64296495; 82297508]; [79396173; 47870650]; [80377821; 21345663]; [99550115; 81766712]; [77112453; 14570253]; [10981761; 42292894]; [95142227; 46639302]; [19243925; 47339035]; [65841275; 11390915]; [10255606; 3241136]; [69799083; 75975493]; [85492455; 32488964]; [28616004; 78264724]; [81457020; 76710243]; [34682170; 39586595]; [10168532; 38544531]; [96391028; 84590647]; [3809943; 23553049]; [50502713; 3684322]; [63540457; 24098389]; [59364179; 28571079]; [83662116; 65003476]; [42364481; 19272052]; [33164739; 31326865]; [24930957; 32351474]; [66059277; 63043393]; [66276137; 29260284]; [36781027; 85536867]; [55116026; 2271444]; [49265394; 33825242]; [50253152; 23330105]; [1158334; 56400416]; [93834953; 30661557]; [789832; 88956050]; [59975328; 30226040]; [42181906; 25473021]; [79387232; 69713681]; [89123871; 87753538]; [28809544; 97148968]; [68197244; 49828660]; [39737629; 85804875]; [77121073; 54796795]; [85423503; 59920339]; [21378537; 88618695]; [76396251; 53409183]; [16838744; 55902951]; [72307655; 92231102]; [99215767; 14473860]; [68941848; 10741074]; [81233319; 12308542]; [76192398; 93707417]; [3451520; 78995231]; [47123029; 43529882]; [54455557; 87001325]; [40135275; 55266668]; [84231232; 54609615]; [87673970; 78890257]; [67458479; 76468974]; [89634624; 41722101]; [92832059; 15502589]; [12117635; 7079394]; [64151374; 74899881]; [65419885; 86854521]; [26147446; 35759328]; [5015308; 65552735]; [80772527; 11175553]; [92440052; 66626599]; [69235411; 35677061]; [42261329; 13889879]; [92596739; 23152876]; [68837583; 95194842]; [45217424; 74974978]; [39216302; 188231]; [56319222; 12793599]; [46847142; 9720740]; [86626007; 21291473]; [64273114; 47535775]; [79236497; 60620999]; [77877349; 35299041]; [18467608; 54301945]; [45336947; 16955421]; [25190156; 56509459]; [34208961; 49183011]; [13582564; 68986757]; [61169170; 20451450]; [86185683; 54392209]; [39867331; 40213350]; [72336601; 22214215]; [53712418; 80420557]; [5239574; 74130422]; [30001119; 52507982]; [63232300; 68129086]; [53606680; 83432881]; [94443930; 777076]; [42920645; 70138232]; [71744861; 7964283]; [88115392; 83741236]; [63252364; 69100662]; [98908066; 35674494]; [56243401; 71177567]; [97542318; 80626039]; [58739844; 60323025]; [7208801; 95451586]; [3300547; 89212414]; [14006290; 6434359]; [78893065; 91932562]; [54160106; 32453282]; [84080412; 83398840]; [78274746; 66789277]; [2396038; 69570977]; [87381604; 57173768]; [99129631; 48494498]; [5039998; 89023880]; [15477527; 68625942]; [36364675; 24795916]; [20128570; 89209951]; [72423164; 84164071]; [65359003; 58544282]; [93987772; 77355652]; [8942141; 21919668]; [67113775; 75862889]; [75860266; 41893144]; [9002828; 67947828]; [89029990; 86712471]; [48013637; 36437452]; [71263032; 72164869]; [67478401; 5728410]; [10021432; 73468525]; [35967802; 84220937]; [66460259; 74765331]; [22925573; 38596872]; [11493022; 75891082]; [45236047; 82524883]; [57376158; 50483041]; [17851974; 25405497]; [11430089; 65326956]; [47167850; 58874275]; [53900296; 90006994]; [26795221; 55334696]; [85196507; 37189545]; [22189443; 82470612]; [54221611; 16545029]; [83630503; 56501525]; [42505631; 11835867]; [13949382; 63651380]; [64563468; 11038727]; [55469314; 78341647]; [92007964; 58678839]; [5431913; 11104621]; [42871862; 1752823]; [75152887; 2492629]; [84042303; 71827761]; [35672672; 85117546]; [43249935; 74182323]; [21092297; 57941312]; [90942637; 92100285]; [28668398; 71016100]; [27068857; 19850345]; [64552339; 33440427]; [44792855; 94839730]; [53419845; 28419332]; [12632102; 18736575]; [34759703; 50561267]; [72585123; 77245983]; [65348226; 26698269]; [41443959; 14042980]; [70076439; 2656153]; [84095208; 63963328]; [79040325; 34137302]; [24214092; 91773937]; [1395413; 32822177]; [8304166; 45718354]; [76031916; 90531551]; [55324101; 20830945]; [54684844; 92591750]; [66336521; 48374647]; [10519750; 21057297]; [27816886; 49491272]; [16195436; 97522949]; [32512999; 15634625]; [76582808; 96047690]; [99697269; 50212595]; [390681; 80207998]; [8746119; 60195114]; [23963376; 77738780]; [56206926; 29611737]; [89141170; 20098885]; [18450566; 33972137]; [87809692; 75601198]; [88851093; 84718416]; [80520167; 71812712]; [15905636; 21635362]; [47455491; 60075109]; [39379017; 38073423]; [21789285; 37417270]; [8971667; 72753865]; [67737684; 30271717]; [85048185; 62116583]; [80263646; 72148476]; [62409103; 25763104]; [80759535; 96093174]; [85095080; 27579824]; [77308018; 58262160]; [99709139; 37060861]; [18663683; 5628981]; [58995049; 96093880]; [46556121; 15149536]; [43359993; 77891591]; [24561019; 59570028]; [9256861; 29293729]; [74526690; 8940402]; [10087147; 42364194]; [75037404; 51871278]; [22098212; 25180239]; [73173068; 80119143]; [22768192; 4136169]; [13596029; 8802636]; [11125800; 3861754]; [53857995; 2160560]; [67005161; 82560339]; [54467622; 47537337]; [10998999; 75798632]; [90202031; 88854109]; [19495191; 71465703]; [28049468; 79755827]; [63037524; 22047661]; [24833674; 12004634]; [39201378; 7065565]; [92416683; 9646077]; [33660400; 72559004]; [60262263; 6365727]; [54035423; 49322623]; [70835950; 84745202]; [49052614; 76512037]; [95247632; 9431322]; [28870609; 28252699]; [89027113; 39819176]; [8700962; 42700388]; [19155707; 15399058]; [69854138; 24504883]; [56186641; 36607618]; [70818600; 92510259]; [25282111; 88048909]; [2408647; 24155101]; [45634076; 44805474]; [21762762; 45238146]; [32812646; 75211109]; [54036665; 61283250]; [30414931; 18066861]; [88705462; 95992774]; [17760207; 80324642]; [50995891; 13359637]; [6707069; 91170888]; [36302414; 31706309]; [61583355; 84863067]; [19322993; 87782346]; [2790577; 14703190]; [7232028; 66945848]; [79690042; 86098169]; [97741207; 45822295]; [45383309; 68255221]; [23196191; 53615481]; [96794042; 50520261]; [34434711; 35466094]; [89672119; 14007520]; [16819193; 42718224]; [13356687; 93287642]; [29102847; 44863478]; [49018750; 29889542]; [56957788; 94450604]; [84027492; 25534466]; [97019761; 66756476]; [3495548; 42433546]; [35176069; 90700801]; [36803675; 72493632]; [89838508; 24885655]; [81721132; 2702814]; [50645115; 54460937]; [26029215; 32149629]; [26709813; 91748224]; [29848938; 23747933]; [70362089; 17921824]; [21037390; 31303152]; [86552958; 87327864]; [53790997; 5780627]; [97662978; 73869709]; [78724540; 10680945]; [14234430; 58910762]; [57060264; 63518288]; [95108343; 25668900]; [97463901; 20348008]; [75399664; 15741845]; [95035492; 71200706]; [25965310; 24016430]; [7876451; 40882680]; [62365214; 95158305]; [87242184; 25157252]; [61142901; 31466479]; [67381833; 300786]; [59732482; 37619471]; [8534077; 57399340]; [60989026; 42245405]; [8516281; 87765432]; [70473918; 60340687]; [12233673; 44286258]; [35212038; 53913141]; [84632536; 71506687]; [71776367; 98190412]; [2174360; 66383884]; [20265359; 95086206]; [33493604; 86140901]; [63568107; 27970644]; [33097235; 84081994]; [89553803; 10673592]; [67032142; 49410380]; [39745975; 27162908]; [31551158; 18692974]; [1067271; 43898456]; [4539229; 60486631]; [28080445; 99410710]; [26965083; 152235]; [8816746; 77452642]; [28089922; 48067449]; [51190633; 87996357]; [54709757; 78005855]; [32006124; 31567947]; [72770560; 74700945]; [60154206; 48649399]; [90203375; 51943555]; [87778555; 67984340]; [44555556; 80300502]; [97469264; 7341799]; [83771396; 64502207]; [25423367; 63527899]; [82453542; 97951110]; [93650135; 72606562]; [63095521; 2678556]; [11936648; 29608530]; [32673667; 86855836]; [85139112; 66128420]; [40944639; 72436870]; [53582165; 24230885]; [40665289; 91269759]; [79742359; 52520398]; [95713225; 45215814]; [5283831; 67510426]; [5209469; 3631404]; [46732077; 85985254]; [73685302; 74677902]; [83511719; 94134609]; [33209322; 17628084]; [93703048; 59892922]; [40071484; 59582723]; [22871155; 95868062]; [46794160; 66350555]; [67943268; 59839605]; [78139866; 78406387]; [69937192; 97928337]; [61823449; 95308046]; [82663263; 85657271]; [99799380; 14598599]; [85670395; 17915785]; [3301910; 77081807]; [30501330; 49300600]; [58067674; 1218795]; [97587378; 42985823]; [90714139; 13295387]; [27536678; 60469275]; [87888746; 34779819]; [71049159; 607879]; [69079305; 54679436]; [38288681; 7557961]; [64620941; 6133259]; [55373383; 10445973]; [56642423; 74320255]; [57947561; 93538388]; [17526513; 98088394]; [2161810; 37233202]; [48100379; 64958515]; [73784998; 47813012]; [96128252; 64698418]; [39698343; 57830762]; [60767838; 96077575]; [40838585; 1164291]; [72759202; 41131432]; [58081724; 75014586]; [68031819; 93154435]; [46371291; 52610697]; [10999224; 80610134]; [89879740; 23270568]; [73990728; 70191885]; [32492915; 63694314]; [34699492; 17238132]; [2634253; 66378358]; [50211353; 17972691]; [64200990; 81367549]; [51673884; 39084508]; [46020003; 13613487]; [7640932; 49751203]; [85211160; 34881304]; [1668894; 31738789]; [7353238; 37459913]; [39195858; 76759736]; [42713880; 96422355]; [77911705; 83835328]; [74914918; 70565446]; [83993741; 50955019]; [62078120; 95036280]; [49328229; 83801893]; [99273951; 81991927]; [36562078; 88995544]; [99390387; 22321449]; [67272364; 98803620]; [64172740; 40109277]; [90521969; 62649636]; [30080079; 3689432]; [24970852; 52929203]; [90041525; 78394880]; [88143932; 46971966]; [46727212; 1198547]; [62908506; 12248637]; [29572822; 25588861]; [66069942; 82149726]; [56636913; 60546810]; [7206782; 60475774]; [3753795; 39834435]; [30752560; 46375627]; [31556106; 34574334]; [32618506; 58820521]; [83240107; 22084839]; [8211051; 50457244]; [63807311; 31655294]; [65434574; 69588549]; [92101794; 93217363]; [54112389; 46867264]; [18461884; 71825807]; [64701669; 52673680]; [90088804; 95914565]; [46340839; 29706609]; [43512025; 53393327]; [15771186; 84671771]; [66019808; 27539554]; [94179818; 92732]; [18124394; 39102326]; [12000101; 79056810]; [37567401; 68512752]; [23224373; 84767746]; [27781768; 79240419]; [16059604; 25614990]; [8234849; 24203381]; [8036462; 40702980]; [33931058; 56809219]; [78488130; 76879793]; [36151808; 42974990]; [74294664; 48362437]; [75491171; 32587077]; [58048149; 29659286]; [31731378; 50909643]; [3945838; 78366357]; [84160879; 5068391]; [21316555; 87558835]; [53543401; 48359318]; [45738672; 87355295]; [70015330; 74375838]; [19347477; 23602041]; [31327466; 46031425]; [86957759; 63130721]; [36592963; 56408701]; [38937773; 80033683]; [53127897; 47675470]; [41710036; 4022104]; [77742388; 97696913]; [78805443; 73554271]; [23489513; 30560013]; [41151050; 14144399]; [84213464; 88734806]; [39474558; 90079299]; [73522730; 19647021]; [25695240; 57216868]; [2763617; 61428798]; [27453203; 28011128]; [42051814; 52939106]; [53475643; 43768033]; [13411660; 45266272]; [4995581; 6008397]; [66589864; 92232488]; [46208384; 8787194]; [78598121; 10196940]; [69920323; 99059674]; [755565; 94980387]; [61855033; 71839953]; [42192507; 69142468]; [76912266; 20105368]; [54551495; 7880283]; [69766159; 85696793]; [72573636; 28190760]; [59212173; 47319386]; [9463880; 75034736]; [46100783; 59577151]; [31424674; 8215309]; [56393183; 35765677]; [25406405; 71613118]; [40683167; 28377160]; [59275722; 46249160]; [74357568; 86047677]; [66561373; 4763246]; [82210335; 59047745]; [35057984; 98677052]; [64747853; 61382203]; [4643885; 8212841]; [81996160; 86862287]; [91739277; 4808674]; [19948610; 7369818]; [37440328; 49846529]; [23659172; 14642753]; [67903431; 79114343]; [86588372; 99520301]; [94254329; 74948402]; [36810969; 22281816]; [32514992; 3221656]; [59695448; 8760931]; [32985435; 83018011]; [2082109; 6035822]; [30305572; 3721850]; [19069831; 87786328]; [83797475; 62782860]; [95094355; 14821937]; [54094518; 89502299]; [25535628; 42972555]; [73025346; 63515716]; [14612177; 76725543]; [65574371; 25808535]; [48897581; 11050187]; [77709647; 1957366]; [7834225; 41585313]; [11658047; 2973223]; [76603347; 88324081]; [74609978; 63776222]; [44504291; 39676014]; [32483272; 61800202]; [8976840; 10286855]; [43053678; 92316529]; [65326061; 70258899]; [73864705; 22212059]; [2958671; 25579967]; [32577574; 21707379]; [93523894; 25597244]; [18241998; 85795149]; [53057635; 25229114]; [82238177; 2296018]; [33573639; 79853857]; [96955616; 48844292]; [8860377; 48230268]; [84671542; 15383931]; [86620168; 43618735]; [52390914; 55321069]; [33432438; 81191280]; [13066613; 29984436]; [787895; 12136674]; [74018733; 32708422]; [5832254; 65052255]; [52865474; 20396588]; [19194162; 7068132]; [5721744; 91667683]; [19113371; 42086713]; [48961479; 41092271]; [23943400; 40071960]; [65225671; 95544601]; [27507977; 72445618]; [70388817; 1657139]; [81135622; 45435400]; [37995011; 73766909]; [79872917; 6015813]; [12580922; 25561408]; [68615074; 40730157]; [62340423; 68360608]; [1139171; 82004289]; [55566865; 5585050]; [49942066; 58115880]; [55853639; 42956582]; [19462610; 3701536]; [10782658; 87516855]; [98689213; 84493235]; [33269507; 6949374]; [7421295; 42778364]; [29870173; 36870863]; [56347092; 39664612]; [9133694; 52970811]; [81510414; 76206433]; [5708065; 71754840]; [56475766; 89126573]; [37004626; 64541520]; [65636940; 87486413]; [49886707; 56146489]; [27011002; 80288568]; [5463373; 66990411]; [64636469; 43770768]; [84613831; 10560706]; [29371653; 91063494]; [62225506; 35199065]; [19615552; 57076346]; [24546381; 40238414]; [94725768; 8539390]; [79368583; 99576421]; [96796737; 67912229]; [75917091; 9106994]; [47772348; 24803122]; [34335307; 30326639]; [50890117; 56495757]; [5162887; 69284071]; [80383614; 37569328]; [27823353; 79847433]; [68074343; 49039800]; [11181564; 51232306]; [28636877; 21546133]; [26659537; 22902520]; [68682160; 181170]; [29938463; 96905713]; [69573898; 23446261]; [42379564; 14099419]; [24193361; 53223808]; [60687852; 47087330]; [50303448; 44660038]; [20329279; 50620319]; [85333087; 2744033]; [75230162; 89653590]; [99476236; 87780085]; [43076929; 66833885]; [46167963; 81250662]; [85082934; 53891883]; [22794226; 6379099]; [45499346; 8870159]; [1284917; 11245345]; [71414232; 26921866]; [1154502; 67691501]; [79788413; 42279153]; [68455451; 21066105]; [541329; 21350001]; [77564807; 53461376]; [19564597; 53511331]; [22136854; 19764864]; [24813242; 61433806]; [15552246; 63753219]; [29403124; 11895492]; [71624988; 78899286]; [83224618; 34233188]; [73994437; 71231303]; [77112441; 23330482]; [52221900; 63379011]; [5362281; 12324860]; [39982423; 83226120]; [93568055; 89075345]; [55031841; 71869461]; [33346945; 34792891]; [90181445; 41725048]; [5952862; 8303279]; [27087119; 53759820]; [33248821; 82772388]; [14234956; 49404159]; [69503175; 57719022]; [38925166; 41699367]; [62119054; 35157077]; [65223653; 68779644]; [77264343; 36939486]; [90982181; 84212704]; [49921988; 12843844]; [74875000; 37062364]; [51088626; 77345145]; [29354710; 61918793]; [69687604; 97615200]; [60032148; 88038859]; [75081625; 25976259]; [48601578; 24101386]; [41495543; 35793277]; [82084864; 12082275]; [29590008; 51595719]; [18292999; 19240056]; [24522672; 95785896]; [24700297; 39218136]; [94468189; 25648273]; [24291622; 87931903]; [25411846; 79285672]; [84408664; 9127820]; [45366592; 74829985]; [61174097; 30648582]; [42364984; 55920779]; [8586993; 59393314]; [10633458; 98663281]; [11284655; 92401733]; [51328919; 19242404]; [90514664; 71681643]; [10570674; 25739086]; [70556462; 84150594]; [41222652; 25059308]; [76041160; 7678870]; [67161525; 67907116]; [43906394; 36534599]; [75324611; 29443425]; [42609759; 36989630]; [98870468; 11152491]; [9332888; 80705086]; [76484936; 75160670]; [82775786; 47038570]; [20993448; 72755014]; [5963435; 96675576]; [97067581; 36109027]; [74392814; 52002279]; [15775874; 57934344]; [17462996; 69293163]; [21271301; 72489885]; [56330862; 69859394]; [71146855; 5194937]; [80184903; 84694175]; [53180823; 47482638]; [34714323; 22979478]; [23175704; 99396185]; [5349820; 12201820]; [43359454; 34606238]; [36104221; 19346366]; [68624494; 51396566]; [16608215; 40700896]; [68809391; 66041833]; [86747000; 82421210]; [56661734; 82549591]; [52163522; 6919102]; [52942502; 555036]; [3681306; 5226898]; [78602213; 47348697]; [6912888; 9419124]; [55483995; 29531717]; [64771054; 46224796]; [47595950; 30641352]; [14669609; 95572047]; [69888974; 92563942]; [46587623; 50304018]; [73276119; 37282518]; [47787308; 43352365]; [95927221; 41952486]; [60897818; 41083336]; [3411985; 88090968]; [17720925; 75285676]; [74178100; 13848098]; [16956005; 93719809]; [17546856; 27751029]; [30155916; 5655254]; [987851; 3707118]; [12584462; 13000299]; [73276066; 2833534]; [2877209; 38910088]; [65580423; 67515631]; [74692649; 18570217]; [20717361; 72782034]; [77788085; 20263325]; [6893995; 6263185]; [81065596; 60670886]; [61950642; 73591190]; [99772933; 19016979]; [72326792; 42787409]; [80659453; 64781153]; [43618764; 28498030]; [81733752; 46484843]; [51813626; 41482000]; [56781849; 67104502]; [86229395; 77292016]; [71654531; 27504202]; [49283365; 43677254]; [48793801; 71776128]; [86495245; 54336865]; [9230803; 84646201]; [95162519; 25193049]; [33948182; 75890660]; [10309569; 13630191]; [29674779; 10630625]; [99425968; 33418334]; [62154328; 55224168]; [65928720; 23031079]; [84354234; 13503430]; [78821255; 46758557]; [9705871; 14541286]; [23918547; 71652534]; [65806017; 2624567]; [4140368; 51676311]; [20187735; 19358902]; [44716852; 25576859]; [87449643; 32180057]; [23654921; 36704689]; [85289633; 28671655]; [59826154; 86441129]; [90401550; 72507725]; [93766544; 81381700]; [69718632; 17676723]; [88601389; 60549753]; [2264965; 96612303]; [65097294; 62188678]; [47539645; 70867484]; [85756094; 58981456]; [43176222; 85441788]; [24105399; 10912981]; [92278399; 57073538]; [47816789; 16521250]; [21712613; 7390642]; [42600363; 9725665]; [5199428; 36979023]; [55198448; 11766975]; [5346796; 2130629]; [73326851; 48465714]; [95632256; 32534848]; [89207996; 50613619]; [82372506; 51442238]; [58739456; 54827957]; [44941305; 5609229]; [48780620; 62806776]; [4460126; 72202217]; [51280423; 5268084]; [88582157; 79097915]; [6595214; 83400774]; [58277237; 29884271]; [12831492; 28541145]; [17532942; 34813550]; [58456128; 75768097]; [84342863; 736694]; [53697627; 62473705]; [7102504; 1936647]; [85886780; 91206562]; [99819938; 67315227]; [50485413; 63834995]; [91693408; 33733454]; [98859402; 18630734]; [25931837; 57284257]; [58659002; 78919086]; [6013098; 77752021]; [80659299; 92553380]; [96562008; 40565274]; [62833281; 35956173]; [33463277; 81422691]; [53090103; 23572631]; [1842402; 20239127]; [17533656; 40632279]; [8837252; 9352648]; [6637778; 11278503]; [91628633; 18337334]; [18123936; 60763773]; [81872720; 68272232]; [21042684; 87757237]; [17720353; 97810599]; [49187357; 99263995]; [47441307; 30487811]; [48682403; 16133491]; [50959281; 10983657]; [1414121; 100242]; [57543930; 50258829]; [80281109; 66648590]; [20727989; 58904257]; [15051977; 61120475]; [44626524; 6310480]; [766780; 51194935]; [10421896; 57063647]; [75670734; 14568556]; [72208416; 27804104]; [20494084; 85746440]; [16977684; 54776729]; [97215430; 94850623]; [52429355; 47107981]; [37460858; 33850933]; [40103530; 10824652]; [75899368; 50458948]; [18476895; 62370850]; [36319189; 69522572]; [62243898; 76125382]; [81709115; 34803351]; [12026728; 41947425]; [72343965; 80203150]; [80530998; 95055801]; [34843561; 71194933]; [89639909; 86128816]; [66384572; 38985153]; [35654669; 96309381]; [82015128; 4097994]; [93536369; 34952329]; [21917745; 32116358]; [73215610; 53035589]; [64521544; 86657582]; [75890726; 32554418]; [21627186; 90288674]; [24986220; 77459986]; [49617811; 76494613]; [905224; 35250797]; [84389470; 93736144]; [85887164; 8281445]; [26374018; 21584329]; [48882850; 34380804]; [4018474; 43214899]; [21981798; 89619871]; [73992734; 35081331]; [18321416; 19516226]; [83810260; 58045050]; [30251548; 87283463]; [23877464; 88364275]; [44735494; 44059922]; [33974136; 40467713]; [2025518; 43506007]; [7999943; 62496439]; [96520363; 59762127]; [77054571; 12191255]; [40436441; 89572193]; [65373555; 95346545]; [36113589; 11022030]; [70370524; 80304956]; [18799274; 73243159]; [9886652; 13543863]; [16286675; 21112639]; [94228611; 70271764]; [42062363; 63866414]; [219790; 67841226]; [90586091; 79978219]; [50941875; 9811742]; [57670906; 64831901]; [49167556; 33426787]; [60450766; 51681248]; [65326679; 46350980]; [37154874; 45389376]; [23322327; 62277472]; [50413012; 36880625]; [68688995; 20488503]; [36785847; 37562850]; [62599790; 358669]; [65637368; 7142987]; [81146644; 37513264]; [52511849; 24978982]; [31660680; 82660961]; [99557583; 39474802]; [15894229; 93436885]; [63292331; 64784294]; [22567647; 69414662]; [75376487; 23499262]; [11384932; 92799597]; [99535273; 25387584]; [71344074; 33876461]; [29390499; 61675581]; [47158724; 90639069]; [50763820; 77814174]; [49163834; 38143978]; [14531561; 76543187]; [78196073; 92521602]; [82677775; 15456367]; [79733534; 20271457]; [99564017; 46043703]; [33029571; 22790543]; [24814392; 92845387]; [38791514; 13770077]; [3173245; 13739376]; [50793911; 35561650]; [10952111; 32934131]; [60374473; 156756]; [97847891; 54744390]; [52550275; 24193379]; [72002801; 25679385]; [23343463; 18489091]; [40678143; 15249796]; [53321587; 93107748]; [32823199; 6997753]; [65686103; 91122374]; [60652378; 40789962]; [14692048; 34259755]; [85062688; 96545834]; [8301497; 81497773]; [72392561; 29576534]; [33577840; 49476436]; [96667558; 45646386]; [88973863; 98441424]; [79769850; 72016027]; [24040247; 14072252]; [33007435; 5874260]; [62417080; 71551600]; [28210647; 94961561]; [17617151; 45820971]; [22668032; 74554489]; [60165162; 1929854]; [43187071; 20846219]; [88851618; 73187395]; [97261372; 67574675]; [31482917; 94724582]; [50168809; 94165390]; [74967862; 6860863]; [42436276; 71452268]; [25427420; 8083695]; [18584582; 56789253]; [10001985; 97102243]; [97167377; 98083713]; [45744448; 54430024]; [11037612; 56690130]; [80716814; 45910584]; [43663324; 86319579]; [88108355; 11849960]; [48457786; 67627152]; [29734845; 79765060]; [54204784; 78403023]; [60167191; 72653504]; [36578275; 56675851]; [61236106; 38612168]; [20166273; 46242134]; [86915999; 56384212]; [13104203; 33484932]; [37102041; 48409738]; [41089739; 84040496]; [30645769; 40837308]; [80247612; 26782380]; [79584917; 76318520]; [4145538; 64566083]; [56024057; 96525222]; [76688356; 52663975]; [8317880; 88709782]; [97242223; 27479093]; [78290466; 96393567]; [98046896; 2861654]; [26089551; 7754574]; [42009590; 55632111]; [94386273; 81610274]; [68093167; 73610193]; [70981980; 96739644]; [56014975; 7614127]; [45342190; 55891900]; [65847383; 24661547]; [46650976; 24961850]; [31306454; 47615627]; [48312222; 18305124]; [15929344; 9777925]; [82777399; 92304793]; [66852549; 96671750]; [44341590; 77996279]; [74388546; 55814503]; [37640313; 44634636]; [33454199; 5403341]; [12964239; 83462716]; [46236627; 50161855]; [32917778; 44845643]; [8191451; 43529334]; [31959275; 52347352]; [7025441; 89317327]; [35704654; 69500900]; [1661697; 60135365]; [12724763; 64051692]; [43603048; 36632663]; [94609374; 67411359]; [91327209; 6240400]; [33815954; 61795045]; [46375455; 70042026]; [89169945; 8876753]; [97174843; 16359367]; [35889150; 79928687]; [23938270; 50471960]; [62293934; 31767661]; [39340346; 93512141]; [91929135; 69869467]; [47061224; 66055764]; [25362363; 90889654]; [69136934; 14904528]; [27537654; 25804686]; [30321104; 6494484]; [28042647; 29216227]; [89522630; 51336126]; [15056713; 18212946]; [99224116; 63412679]; [9139418; 90200683]; [12896469; 22646501]; [68247045; 27425584]; [19813335; 74285294]; [59171837; 37632278]; [10465825; 28681294]; [76491346; 59595540]; [1461141; 67295708]; [17622591; 66948761]; [76872665; 72449662]; [44120585; 23060511]; [6941327; 76642249]; [15738602; 68760375]; [31267873; 7295143]; [50017990; 74766555]; [97189507; 94625397]; [80232507; 75667696]; [28195403; 43335656]; [16731651; 19032198]; [70795394; 18700683]; [15061044; 13701282]; [38665281; 17082205]; [25794389; 42580281]; [78936928; 99224051]; [43634487; 11474371]; [4906703; 69700858]; [72900555; 97403227]; [45388556; 41179963]; [56454162; 26309062]; [48156111; 6869034]; [87237994; 10403316]; [12097864; 87695117]; [17301479; 81124230]; [82935565; 30949476]; [42084505; 5127660]; [38222155; 93087430]; [72430539; 50763403]; [41026657; 30829276]; [83550107; 79350681]; [26980588; 64218258]; [3056115; 55462330]; [57470426; 2030133]; [25704582; 94563005]; [23557211; 16321514]; [93855389; 69600358]; [7451650; 31030613]; [3605731; 57749785]; [95383891; 45579807]; [31290474; 13839404]; [79718694; 20718924]; [46381039; 46120744]; [28281618; 75992920]; [64239896; 22966125]; [77440527; 79703576]; [15587390; 56946248]; [33793528; 92453721]; [12798406; 30191842]; [67980045; 89601377]; [26171511; 49808907]; [648314; 92980569]; [85853157; 70273154]; [84538757; 45290535]; [43504969; 82899706]; [92469399; 50017574]; [91070082; 68612103]; [54712339; 74495915]; [94198543; 49366618]; [99133816; 53853189]; [80581571; 69191290]; [72373835; 71902964]; [95929974; 19856032]; [16673075; 76355757]; [40857371; 34120508]; [68175126; 7312205]; [84975714; 15927291]; [61233688; 98926214]; [19654248; 49874402]; [75249649; 28297651]; [59391869; 24181065]; [88509762; 14070623]; [57585883; 62018692]; [55771383; 12149110]; [44799687; 57960807]; [37005310; 58392124]; [50894043; 10026975]; [77473269; 68603612]; [91908637; 44268774]; [3409853; 62000383]; [6443921; 76012136]; [87150984; 59807773]; [71319715; 96983014]; [48336403; 45897273]; [97214288; 43053505]; [61293920; 88669268]; [52983726; 35656417]; [74324878; 69044074]; [79115052; 64146211]; [87864227; 67992191]; [53060965; 27033503]; [57656361; 94430964]; [23634037; 43119697]; [33079517; 28714757]; [37517850; 53170629]; [98611364; 59665744]; [19703812; 88431745]; [10363618; 61209152]; [91489687; 51892961]; [72834028; 21867781]; [84015821; 83607757]; [45018545; 2092461]; [13423559; 10591608]; [80013932; 19565825]; [88965040; 27157192]; [13363239; 66238779]; [78686998; 77702447]; [23686375; 34206815]; [81236157; 14545522]; [14733424; 50605555]; [14686411; 63701763]; [89684369; 1226255]; [81320468; 56855595]; [56871589; 78543993]; [32672455; 78214246]; [98038108; 32692999]; [10086662; 84906167]; [25018015; 3091629]; [92757999; 81484909]; [39416348; 2113737]; [15020106; 31425195]; [87274804; 30358078]; [55192219; 11229673]; [63528099; 99170048]; [93303503; 29906568]; [13779426; 86155338]; [3025766; 79954366]; [70053387; 90208508]; [31153218; 52794652]; [55364289; 65953605]; [73379383; 74579316]; [98432945; 59065881]; [58135742; 3203973]; [31117326; 41102610]; [61245400; 57972433]; [91088496; 37334964]; [82511061; 20426498]; [12115156; 19926542]; [10059206; 19139648]; [52582243; 3028102]; [12659278; 13048585]; [15457695; 97602652]; [25210476; 86196674]; [94406944; 88170042]; [25872370; 25147336]; [69402812; 44120771]; [47580689; 77073735]; [70837884; 35185777]; [59733483; 13783175]; [69130206; 76956637]; [1906759; 91901825]; [55066896; 41128693]; [29348910; 32602590]; [29020104; 71074353]; [44790848; 52935237]; [90713965; 47157526]; [57019721; 60179341]; [8708479; 76992761]; [77744515; 13097694]; [40756477; 24920209]; [83155098; 55127415]; [41210018; 48875819]; [52013028; 50247215]; [49764099; 34838268]; [42516754; 30156349]; [81200536; 94187751]; [17646330; 84846207]; [8591388; 89530940]; [14278782; 71337089]; [41951659; 25109250]; [77212965; 45285688]; [59632353; 54782726]; [52051589; 98248163]; [48845181; 37241432]; [786639; 42891899]; [6145334; 20901123]; [84236460; 41454089]; [29366102; 31972477]; [30834300; 79481516]; [43478562; 83869699]; [93873484; 37064970]; [32893685; 25792696]; [53467770; 3551337]; [57126422; 70747432]; [64653022; 43225933]; [46907801; 56757520]; [23442860; 20249411]; [30135763; 5985537]; [37358948; 33324908]; [70824898; 51216118]; [75984048; 53881868]; [61836865; 32568472]; [32426641; 87700254]; [84513250; 77447496]; [5631569; 26951826]; [36736221; 95224928]; [5395779; 71560718]; [96228293; 16594669]; [91182628; 55201699]; [15979394; 20598874]; [26711565; 70868706]; [2924870; 10513172]; [27947265; 30552885]; [77638004; 65022787]; [1302478; 21049285]; [75788238; 16633442]; [15921131; 22587826]; [78865179; 2397607]; [96210150; 63926796]; [54679388; 72803625]; [37285129; 19296305]; [7968166; 89449521]; [72983792; 10897033]; [39222033; 71282023]; [22016204; 40171261]; [65705417; 7281411]; [5417816; 69903405]; [87854583; 60039774]; [1961543; 53734098]; [10147129; 11038867]; [64097933; 20679395]; [50175555; 56590908]; [48807273; 92384375]; [51268253; 18176853]; [61361653; 49664160]; [34636835; 42149502]; [11471357; 41608440]; [99625515; 57186045]; [73067767; 10667598]; [50047494; 77758694]; [89294842; 28024532]; [49829784; 86556901]; [54993757; 85824121]; [79146003; 80509017]; [23561026; 49003659]; [6475127; 56489011]; [84789451; 33709889]; [62919202; 15248339]; [83524106; 90289694]; [39538627; 92289026]; [91105957; 75645425]; [27092709; 96066348]; [34841684; 86941903]; [60574023; 53301881]; [50564737; 30543040]; [15742731; 15646645]; [95272723; 80436644]; [70738222; 17411422]; [47540234; 54201748]; [76851590; 16910604]; [31710509; 68907209]; [44364710; 24563238]; [14278286; 90287966]; [77462308; 72709466]; [72011427; 59990842]; [66320239; 48439065]; [40914637; 89797004]; [87321108; 23415437]; [5823762; 79534529]; [69014693; 42259917]; [19722443; 60712724]; [80886772; 61352256]; [90256205; 71037532]; [21746972; 46827404]; [57370565; 9615379]; [19207191; 97007606]; [12705717; 3336238]; [84749022; 63614359]; [36798318; 17678057]; [72722613; 70889722]; [90020088; 77899456]; [94892920; 56073789]; [29326806; 90410154]; [60948125; 36643248]; [24746116; 89971903]; [88077549; 33232082]; [28573682; 75989353]; [12339154; 5723326]; [6794609; 6966213]; [87696337; 20122264]; [22698028; 91896117]; [33672324; 3729631]; [12413770; 21809582]; [21033385; 67624375]; [48699054; 81180679]; [94134936; 59425927]; [22497499; 8854990]; [9380873; 804426]; [82422134; 67215511]; [46442988; 25116887]; [13789297; 53472372]; [84007290; 48703641]; [14927958; 88259018]; [46932010; 69904924]; [16262205; 61423026]; [99807645; 50618284]; [36219019; 13013929]; [20517822; 33853036]; [27176301; 18901853]; [98661695; 85261234]; [27249834; 90353253]; [93891599; 52731578]; [33672174; 9311332]; [2661074; 8115665]; [27611689; 32496520]; [13324954; 24537311]; [78823828; 81575575]; [88465827; 22922421]; [91299542; 22735818]; [91747741; 58851664]; [28743916; 33412403]; [51178148; 50557813]; [16502057; 18002434]; [42254431; 40841588]; [41708948; 55788629]; [57737557; 9590727]; [15509452; 59433585]; [25094424; 46278234]; [1608758; 66098019]; [16570038; 85947633]; [14833980; 78351525]; [33658305; 65520432]; [70568979; 59914158]; [50859686; 51452781]; [20908053; 9811835]; [38543270; 50956989]; [31213679; 43563956]; [18693067; 30515675]; [21065388; 9410742]; [7027843; 3289777]; [67799938; 57990141]; [13543718; 49977778]; [39762102; 30117355]; [1695506; 40985004]; [61239997; 98057995]; [2409537; 69282804]; [5653153; 40566623]; [43559579; 98145494]; [55657435; 86668253]; [21367724; 70047532]; [87963189; 11055727]; [99246467; 55622041]; [1996314; 56270004]; [38776177; 45500808]; [90510261; 73821374]; [86241269; 4074548]; [57820812; 26505326]; [74897042; 95703132]; [48590820; 82630986]; [26089325; 78313668]; [62800746; 57644337]; [96978180; 10668878]; [82201270; 55713930]; [48867899; 13781486]; [56601592; 51819318]; [30072684; 84780181]; [17154176; 56027623]; [21517080; 85386856]; [24734316; 89197617]; [96325556; 34963195]; [35211881; 35609615]; [46374707; 37310799]; [23021808; 39080850]; [82927863; 11585436]; [98134234; 84746247]; [83837449; 61697390]; [46076497; 11499183]; [82138933; 85035373]; [65998329; 93219160]; [20148369; 97248586]; [52281774; 37783068]; [42740045; 68059315]; [40607419; 45607853]; [95693114; 83760836]; [15462363; 75955170]; [5671126; 77004171]; [60716789; 2657799]; [70290245; 47440331]; [60534288; 63952559]; [8951817; 89714282]; [11816483; 22751350]; [71340491; 11506248]; [1792745; 4190460]; [80017225; 25586625]; [85876377; 54401624]; [57119374; 55705175]; [90789938; 2524848]; [89406011; 66220901]; [54470127; 70749873]; [13612496; 485573]; [29552845; 26567981]; [44489170; 38141750]; [97486762; 41165613]; [40537812; 73309446]; [93778785; 87186539]; [94509670; 7371387]; [76060052; 67102268]; [61778320; 60706568]; [49849518; 87586937]; [66374950; 62438307]; [6544264; 73551704]; [38203144; 98220414]; [69474944; 58381031]; [56873393; 52645855]; [51740990; 6524579]; [30726076; 78882651]; [36872040; 90632661]; [85745765; 2217688]; [62972929; 77279675]; [97502529; 5995784]; [57425744; 18792500]; [28078044; 59328058]; [73217669; 24320364]; [78440000; 50211476]; [87905848; 63170303]; [37044751; 15726050]; [25499064; 23963585]; [23211800; 97205702]; [1948479; 71292323]; [96566888; 90411238]; [96178419; 15305776]; [9303822; 73749136]; [76756668; 97738919]; [58729924; 39686727]; [58587176; 97854328]; [28013645; 74268423]; [50191618; 2359689]; [97198091; 98773309]; [11477822; 85507651]; [54877243; 49921410]; [70778416; 46827566]; [77577533; 44467374]; [53184903; 76289161]; [25863706; 80615151]; [35050892; 64404276]; [52911896; 67379694]; [31243880; 61345593]; [43616443; 72484571]; [46610310; 97914996]; [87752215; 17317852]; [64615990; 30089208]; [35177523; 97840369]; [70220480; 75941012]; [26170279; 40980520]; [21254897; 77547717]; [72719927; 45595246]; [33482465; 84016607]; [57824885; 45945318]; [12743051; 56552526]; [21196195; 51839114]; [8260151; 55675924]; [16134592; 62919543]; [70251666; 28247349]; [69018365; 45581309]; [81745164; 58193932]; [72132690; 66483925]; [29326164; 58931358]; [43725282; 51483479]; [92766456; 20783123]; [65603942; 90338891]; [90736656; 45074025]; [55493219; 28692606]; [61011480; 96963172]; [44484343; 26914731]; [51454657; 38187839]; [84852169; 99638895]; [27692470; 87852407]; [54547546; 17882465]; [72494457; 71434327]; [96053149; 32191827]; [73182999; 27193550]; [15976375; 46754580]; [58716176; 68351254]; [38726547; 62951997]; [14594773; 72040726]; [30975539; 91586187]; [73647182; 14995650]; [66740388; 99615751]; [33929648; 55374518]; [95426767; 42269772]; [6158716; 83183964]; [26283116; 71115014]; [31555748; 25321138]; [6016849; 79359500]; [85128214; 12798376]; [70398773; 91930966]; [99477214; 56414920]; [56749983; 82521791]; [26392529; 41122934]; [35557927; 55530267]; [92746321; 22735176]; [15007000; 15548339]; [18985791; 80377574]; [85427394; 56966503]; [93530551; 54982200]; [46709669; 27887893]; [60003574; 46334949]; [7579031; 43687978]; [76362705; 1688300]; [76442770; 32873416]; [25687614; 57462169]; [4611801; 87245726]; [94737129; 57525772]; [63438236; 85897638]; [75763363; 69990354]; [62200585; 3733837]; [27598323; 81115567]; [38903737; 93622424]; [95056011; 11273085]; [37782182; 85981553]; [87908010; 52346327]; [72802180; 18290440]; [88143784; 84177062]; [11914852; 78243384]; [77521285; 47078445]; [81324911; 3365287]; [25432816; 81816553]; [57630591; 94323183]; [66668790; 57498164]; [28541583; 59187596]; [67434683; 29690880]; [61539409; 75759559]; [74511289; 79618112]; [66137339; 79737653]; [82314686; 45620636]; [86002238; 89103799]; [47494449; 29089839]; [82303745; 65202673]; [36057400; 10470946]; [30603885; 42130560]; [56182803; 75077512]; [89886499; 89861794]; [53270518; 56082645]; [71889310; 76295531]; [45718148; 4260671]; [66213451; 28391860]; [3941261; 20761977]; [65416581; 33215940]; [76963157; 23255611]; [3318156; 25100138]; [16585389; 86046287]; [38127935; 44836070]; [93384881; 40297459]; [41918180; 91640212]; [65707309; 80462103]; [63291595; 71311381]; [98599475; 94624404]; [45067890; 34362978]; [31162526; 26845969]; [82042942; 40502182]; [24035094; 44754263]; [46900539; 4042888]; [54861862; 61991143]; [21986836; 88673293]; [73412811; 6273025]; [94373587; 37457266]; [25470246; 23548692]; [90645230; 41848166]; [49625640; 88111584]; [71561389; 86498909]; [99896138; 93865307]; [44076059; 77575642]; [5846323; 53742377]; [54636460; 19165674]; [198501; 9421144]; [59782254; 83999882]; [45343947; 84924016]; [16325938; 25864740]; [72869291; 41099717]; [63716607; 92414744]; [26804778; 90217332]; [99211041; 12632961]; [30504609; 92513181]; [787093; 25748221]; [32542497; 77427671]; [74659482; 12316811]; [52672559; 73596145]; [59232225; 26169145]; [52141439; 2267006]; [54662454; 32390658]; [94355081; 25709388]; [83409657; 92596624]; [33820118; 24932128]; [73110707; 5534601]; [48443557; 42601892]; [98832133; 87415318]; [30672857; 20157695]; [40448989; 72443556]; [84907660; 35576785]; [98634325; 17830565]; [89610865; 83361004]; [37727189; 51640554]; [571551; 50245306]; [68997886; 70095497]; [26087110; 73132188]; [92857400; 4781903]; [75730571; 47351779]; [75969843; 87464219]; [35426925; 47582498]; [88804774; 74350692]; [23132702; 81148682]; [42014199; 40849707]; [68034558; 69338921]; [48097000; 13666282]; [23543985; 10076034]; [48810278; 10834407]; [36747283; 82051870]; [69099353; 15259822]; [22426735; 50197695]; [6464772; 66453701]; [25796709; 18195616]; [84701252; 32582967]; [50548077; 32278980]; [47707295; 1748969]; [99719988; 86715042]; [29705198; 5203534]; [78242089; 55421727]; [96967005; 18737786]; [44777183; 75546493]; [72369912; 47283250]; [69833407; 14124678]; [77398567; 12662545]; [73996085; 55454482]; [39345777; 84284536]; [49184927; 93246528]; [63907712; 98967839]; [1893259; 31378010]; [82068848; 19970994]; [99378288; 33193247]; [10374646; 62860859]; [92887570; 37151760]; [24512234; 86928512]; [82806318; 37018546]; [80744142; 96001385]; [1178719; 61131312]; [4475101; 13976470]; [8541790; 83133819]; [84222924; 67467033]; [31264349; 55260448]; [26703069; 28808983]; [1528759; 26881015]; [97533099; 69366524]; [95908150; 6268875]; [7508622; 56497594]; [55198281; 81700411]; [34348290; 9557990]; [83247159; 85012265]; [12507552; 58260001]; [71013804; 92777450]; [39953602; 45939905]; [40264122; 7491911]; [43165111; 36779674]; [61394900; 37748386]; [46394431; 95688627]; [3347515; 71614047]; [28998992; 43952369]; [71857170; 53258770]; [15203517; 40022925]; [71305759; 4052725]; [53971974; 81304756]; [29115938; 36893877]; [55069019; 92609554]; [97088501; 53251952]; [53454304; 94711604]; [89979075; 25612646]; [44538849; 34407383]; [85352847; 38035045]; [3615497; 57527607]; [88293067; 62363391]; [97278090; 18068043]; [88781966; 99859916]; [44024533; 70023140]; [88660241; 8658946]; [19165582; 70037604]; [60091030; 99404423]; [41395036; 87817530]; [62474888; 27458331]; [87176876; 85159679]; [27676879; 72288032]; [91032944; 88689324]; [977784; 30112953]; [87148314; 89268890]; [3175370; 97852144]; [9971812; 59181627]; [50985418; 59888102]; [13368579; 22987386]; [17753781; 57753221]; [47851675; 9916939]; [16277028; 133348]; [80910251; 77237149]; [16491617; 59026801]; [19832426; 83351681]; [29270711; 48809306]; [98918151; 25388623]; [49426750; 99725815]; [97816580; 95529340]; [76411812; 10985866]; [81365206; 49428028]; [32776010; 74321568]; [66750357; 39971825]; [56916271; 33218598]; [81766569; 98539928]; [42937795; 56887112]; [31807097; 66027854]; [55318267; 91665373]; [77641087; 91728427]; [81138299; 33451390]; [93991456; 70316345]; [86194612; 53626262]; [47311066; 59601730]; [28482611; 98432553]; [51669493; 93854872]; [87583010; 42541096]; [55982350; 16031713]; [21352637; 29824895]; [82408369; 88771134]; [32992558; 98449835]; [23226312; 67085350]; [24284370; 6456042]; [31605303; 81052574]; [78997269; 20002474]; [7469493; 91364036]; [45600973; 74547240]; [7627781; 10646720]; [97920919; 23593221]; [124297; 21870589]; [13689497; 24671701]; [27682913; 27361264]; [76006608; 10943261]; [71407359; 64529891]; [8818848; 18336518]; [93645522; 69953009]; [18762980; 22222602]; [46154832; 67521805]; [55195220; 70067065]; [50370241; 4719274]; [82856569; 65822249]; [19131640; 17297601]; [54787954; 34565977]; [67890403; 54664073]; [36595529; 44777937]; [97175658; 36539607]; [31727676; 55953667]; [29667729; 3475990]; [31531614; 33959047]; [94279240; 33809609]; [40125310; 18304053]; [51266130; 60161074]; [28413871; 56644635]; [11658908; 56858798]; [71895675; 61081633]; [75962752; 50501103]; [64194757; 74734837]; [52948216; 8971992]; [16334167; 70202123]; [24499814; 50990292]; [70962824; 3665359]; [57046706; 57891255]; [81031065; 15788045]; [10872240; 83066278]; [19579518; 64387836]; [43140524; 18656902]; [80174114; 72212184]; [52576303; 56096558]; [34260119; 88551112]; [49992032; 77013199]; [81233480; 54806511]; [75308907; 76214319]; [51923528; 89649555]; [58294822; 84163274]; [25253644; 72462957]; [37874680; 94748308]; [48210201; 33729866]; [21634748; 65442663]; [31380239; 75164417]; [46677955; 11818958]; [34126428; 69220156]; [23682860; 99937988]; [5787431; 21338724]; [90257004; 58475838]; [39920790; 48083489]; [71320518; 66072615]; [66497088; 26384608]; [65379720; 84171326]; [33211464; 45232928]; [79051050; 17558412]; [15566991; 71924944]; [53854949; 39389868]; [69924141; 8194576]; [80862173; 99230899]; [44971450; 97661911]; [36564271; 77353271]; [40909735; 17460060]; [69351139; 53681250]; [78847142; 24265339]; [23380555; 49881020]; [2410582; 19735408]; [59505982; 48630063]; [24911706; 80614965]; [66079610; 53682379]; [35182101; 3797829]; [8211705; 51074815]; [4967656; 14370848]; [63362237; 13882171]; [92970945; 94810225]; [21976172; 53323534]; [35047923; 20493779]; [6260754; 37684061]; [92472034; 77363515]; [99287396; 56540704]; [78765483; 45023436]; [73330624; 25542371]; [55735740; 62786060]; [96007585; 69283021]; [1838710; 89802992]; [92240753; 70612900]; [12892839; 77456250]; [20730861; 39098839]; [36278768; 82036482]; [83959003; 73909146]; [10159847; 16437244]; [34355791; 24144044]; [96891036; 49135841]; [464171; 93367547]; [61173544; 57089251]; [3858548; 83590861]; [10032298; 56920157]; [78340596; 18082918]; [39560228; 47855313]; [78285848; 34915551]; [54656527; 531253]; [36838590; 46792105]; [92070935; 68654275]; [11524910; 70040784]; [36173870; 51293083]; [21695411; 92930939]; [26142720; 49605528]; [29863711; 72547455]; [97110805; 23401456]; [67275851; 78184692]; [83775026; 36907975]; [10553347; 3037944]; [38008822; 18464150]; [24415074; 36499289]; [2193461; 5055453]; [94376134; 50837903]; [75333080; 8355467]; [1909490; 26550827]; [74885780; 78782609]; [39620127; 48876589]; [88447627; 20840908]; [10831616; 36594903]; [45638369; 76502806]; [95425621; 18819419]; [76523928; 96142458]; [34975012; 5213176]; [28949819; 94532083]; [80561973; 45254891]; [96629871; 33063885]; [93070157; 76093348]; [18390285; 52665634]; [43426445; 64167086]; [28342094; 67881634]; [41217082; 37376246]; [65388055; 81507533]; [86867531; 24768517]; [85147839; 14346803]; [8216460; 27940090]; [54115027; 40146657]; [30481122; 57514269]; [47890429; 38674079]; [43323980; 71450604]; [40655366; 91398048]; [108632; 18177067]; [75327211; 41723408]; [24090000; 67801858]; [78941038; 2534017]; [61500483; 68003168]; [75276960; 71921021]; [17752672; 86599767]; [16558825; 78312283]; [21935467; 53535286]; [24209492; 75940910]; [4736712; 57253133]; [78695587; 40944412]; [79240690; 36787588]; [12983247; 25597054]; [97803736; 82339452]; [56253935; 74832730]; [80628993; 72956204]; [2353799; 18867820]; [15579945; 44150290]; [33502152; 231947]; [56915574; 44875767]; [52779185; 26009328]; [78667124; 92599402]; [17838702; 61165114]; [8538644; 50943947]; [67252103; 88865239]; [23784064; 820582]; [65906050; 1041951]; [20880419; 78103226]; [48178517; 47947091]; [42255065; 66213193]; [29867280; 68774679]; [41355655; 79270695]; [66164190; 679800]; [47302196; 14654520]; [84617718; 86782547]; [52040408; 20845582]; [44090826; 61809877]; [68058688; 15933597]; [72502027; 9912653]; [95552881; 55622050]; [43622697; 58718107]; [11850995; 22465823]; [12390595; 52011639]; [72664816; 42137504]; [39113315; 4729324]; [2403012; 24791026]; [17162623; 51959395]; [27859206; 86168094]; [96859321; 1649391]; [46935701; 84608016]; [66547469; 48245299]; [3661278; 41104751]; [52539190; 64739281]; [50472794; 66932524]; [26579177; 90032786]; [19024144; 58363428]; [48134667; 74156198]; [16577223; 54744765]; [70107379; 54117779]; [95812191; 84949297]; [98129972; 56828014]; [83948369; 93691071]; [70902593; 29749877]; [27269368; 2783706]; [21633632; 20224466]; [72175693; 12766942]; [17225802; 81853062]; [11828346; 67973441]; [3720134; 29173804]; [77386994; 595999]; [6616119; 74870572]; [50471126; 19016099]; [91370060; 53341980]; [2946799; 64242531]; [53166809; 18610011]; [28450554; 20526205]; [16096022; 73653622]; [6865258; 99214152]; [19675286; 74127257]; [99644268; 85928769]; [58902890; 27061223]; [36885755; 62723140]; [57766036; 82448829]; [40258137; 4240944]; [58844010; 74436137]; [16072310; 46733977]; [53241467; 13976231]; [20802051; 57871273]; [98716668; 95611195]; [9561901; 12625079]; [96033241; 19343508]; [79627305; 69048822]; [57969485; 29841261]; [59038444; 17475635]; [74214514; 73116750]; [49378843; 12993966]; [14077920; 30344497]; [14107519; 41723782]; [90828648; 8160347]; [24878089; 80604375]; [20693079; 78713762]; [40523622; 66484612]; [68393676; 45622066]; [62062559; 27165971]; [78378985; 92889495]; [98134753; 25915125]; [66344801; 88584713]; [83937449; 21799668]; [84141125; 77267604]; [4751815; 73712578]; [63141439; 85007047]; [80436226; 57292330]; [43579998; 94904401]; [77719553; 91222752]; [38453958; 2182202]; [9749366; 28471212]; [64661863; 8342592]; [30007847; 49865742]; [84021860; 66924085]; [39082141; 79320679]; [33198683; 86859765]; [67301874; 43348311]; [64457990; 20514051]; [11511998; 95994086]; [11248598; 35909812]; [89816401; 96059798]; [77452945; 20177695]; [22403862; 82150928]; [41225007; 49453107]; [69475422; 26088567]; [30819587; 56086264]; [93273130; 92877436]; [3819669; 32934931]; [89292577; 23152007]; [42995945; 89575952]; [63666369; 13143358]; [28807458; 76352916]; [5219892; 19959783]; [42489643; 17231246]; [26830180; 15808781]; [61193634; 10773294]; [97821030; 45493948]; [65604234; 29968614]; [82127737; 51028239]; [64420519; 37527437]; [85550411; 40891563]; [50133134; 45316352]; [35487284; 31745977]; [51697303; 58832567]; [873694; 21138424]; [8843226; 68108779]; [95415807; 5525660]; [76207752; 40936842]; [48473290; 94055449]; [76235764; 13339979]; [56976865; 92858187]; [66120293; 28878553]; [14436332; 38783932]; [17759579; 89066590]; [36109496; 48226417]; [81387474; 39299280]; [78961137; 63999083]; [3970873; 24857254]; [93396330; 27281180]; [41115376; 49301062]; [2345249; 16985326]; [1798810; 52950002]; [35156944; 37504630]; [3049298; 27127561]; [79391932; 29472548]; [18872585; 90430949]; [21949911; 71886601]; [37256848; 17340757]; [10161981; 22616052]; [22759851; 79734616]; [82448059; 19967672]; [59749248; 94515395]; [885505; 31483304]; [21000332; 5714355]; [56628825; 57737204]; [61336481; 15636131]; [23998469; 20554527]; [50253612; 68656773]; [87980883; 47004507]; [71877306; 12988208]; [45889692; 18311394]; [80597623; 40803768]; [4034809; 39190597]; [68092312; 56446539]; [21605226; 42228934]; [17816120; 83868323]; [45169559; 99737699]; [3005855; 81744957]; [87159625; 64103758]; [34319005; 25694404]; [74242007; 36461791]; [29501128; 89949144]; [72113380; 23009272]; [30721828; 38599263]; [79386047; 202303]; [35244635; 83399467]; [54580163; 37414844]; [51527038; 17666928]; [53542105; 40484207]; [45809205; 69471576]; [49330282; 72061545]; [42640492; 39426437]; [93754496; 82171566]; [6085835; 35943047]; [5700016; 10740497]; [13576119; 11777109]; [51513141; 46063237]; [97411878; 64092169]; [33941081; 39114163]; [20899259; 53409991]; [53413534; 87132796]; [43703923; 73276850]; [13669247; 68760872]; [50946470; 28044981]; [90398516; 64163257]; [41967032; 29466287]; [49665958; 9217408]; [22617859; 84481860]; [57661093; 98993672]; [99928110; 69404345]; [1202287; 63158621]; [19854492; 82886098]; [75616152; 48065166]; [67805637; 98250888]; [91159867; 6598148]; [67797088; 18026381]; [34649259; 76793171]; [85134818; 94976011]; [97906755; 57950102]; [73160133; 17058647]; [5423946; 45935433]; [96522668; 82432100]; [62507959; 50322372]; [4646639; 69260405]; [33688669; 44296900]; [47296852; 58621051]; [19076957; 88336687]; [25681055; 91537258]; [97610428; 49380196]; [84681687; 68757741]; [61050967; 37382609]; [49842261; 67934469]; [22260109; 37591384]; [35157325; 33309029]; [93186119; 56552069]; [21177604; 85984041]; [45025452; 38681239]; [63219288; 94117134]; [47440824; 60911249]; [60983744; 82358495]; [89111022; 32740893]; [27807227; 39225570]; [97943583; 62802968]; [90865771; 20728055]; [29635690; 5524903]; [46411801; 28158696]; [13480666; 15854870]; [25952669; 9204735]; [63148486; 2565380]; [6987643; 19465235]; [4528992; 76559763]; [64422053; 45889097]; [98484028; 94185928]; [28685845; 88492420]; [20635260; 71328022]; [45606425; 51621085]; [82782499; 60529416]; [16925065; 18587783]; [13033443; 22907770]; [71702356; 23793582]; [10448689; 26423274]; [58216093; 95828807]; [662057; 1981573]; [88145839; 52372097]; [14142937; 79728019]; [52010727; 19126603]; [2183958; 92741386]; [88754485; 10560098]; [62594528; 4848895]; [33157665; 42729618]; [80454267; 25318545]; [63558050; 35376217]; [98608258; 91416589]; [29553564; 31512399]; [19712872; 90971890]; [87156835; 11282184]; [58366656; 26157906]; [75880833; 24620536]; [36631178; 95885636]; [78461258; 95315410]; [67193749; 74935236]; [10720986; 77348247]; [70232926; 28887353]; [28592429; 74365136]; [10751666; 97898636]; [94139047; 9628678]; [26081377; 25712795]; [77128620; 89372737]; [49845006; 58179086]; [64912411; 99844755]; [8706338; 30225575]; [66868589; 75694488]; [92084309; 28439284]; [37182823; 42581494]; [40116160; 41103958]; [63677639; 2274892]; [77858824; 67229051]; [33100070; 29771131]; [48935846; 41481369]; [97820073; 16740173]; [13519023; 17251216]; [78886656; 24662910]; [76591327; 10302841]; [25679340; 96404389]; [35731856; 22338272]; [9780407; 75131965]; [55246713; 45800056]; [38771277; 98716686]; [94627688; 63327352]; [23366262; 14148700]; [40681112; 79848990]; [88457868; 16364230]; [70479235; 63602643]; [53008250; 31533301]; [41748187; 31575724]; [90243975; 97216188]; [85037208; 51242094]; [19843009; 40518602]; [23163373; 24154526]; [32259149; 71313531]; [98428737; 64484]; [27897969; 17544064]; [15181357; 67443833]; [85629077; 38904456]; [18887720; 85848211]; [62400974; 57770313]; [73799664; 53899325]; [9617043; 34782176]; [79764262; 20760338]; [40761964; 67014091]; [81126243; 91835005]; [44025309; 16590025]; [31941529; 72818662]; [77592983; 74774059]; [49247924; 40488130]; [24109975; 73469573]; [25504602; 68734703]; [86899531; 1774448]; [55319995; 41010125]; [41887699; 10215311]; [10468067; 56160655]; [53384474; 35880630]; [47404717; 74275691]; [85321007; 94611545]; [52661190; 433959]; [13254370; 55431763]; [59741125; 32157592]; [78932626; 66365840]; [42752686; 54134816]; [38945796; 3913843]; [21251850; 44248001]; [59227649; 82959749]; [81147277; 40952009]; [85936096; 63856763]; [64989468; 66189274]; [62279034; 6970377]; [32418448; 79723033]; [29881581; 44261230]; [37822300; 9275342]; [98847116; 86147255]; [42988612; 46732423]; [8134628; 13768550]; [78396281; 14247824]; [64984043; 74533538]; [41206814; 48587884]; [81604855; 1337010]; [41306240; 72960140]; [36908372; 99213280]; [58485353; 80790268]; [79419764; 6966016]; [14437131; 91038150]; [28515040; 81921065]; [86496373; 48560810]; [92259579; 523366]; [32665183; 57747769]; [85978730; 77652629]; [50474902; 68404123]; [18979503; 65274424]; [10475033; 68690637]; [52862793; 63965374]; [28960224; 48519127]; [72761970; 46171579]; [8156367; 63405409]; [61338428; 32464522]; [10376615; 10349104]; [17590280; 19630790]; [968289; 58667732]; [98755339; 84413590]; [18903603; 48248660]; [95781911; 33565130]; [87061159; 69146969]; [90507603; 94384223]; [70830881; 51844879]; [73870048; 47672118]; [17225394; 69423475]; [72107419; 62826527]; [56981413; 1700393]; [96725310; 73739733]; [83799392; 92325149]; [38205381; 89707164]; [25398135; 66578667]; [47813236; 59035528]; [98884702; 41049766]; [16162167; 54360816]; [30644421; 83677427]; [63576438; 73490255]; [81394300; 83464261]; [87134501; 82084791]; [2582588; 20308439]; [98313607; 63205908]; [97858723; 64721289]; [84720213; 13340814]; [51675022; 81488507]; [70858149; 45170535]; [49976576; 95026760]; [71011502; 54561967]; [62644526; 8184043]; [91370795; 12666310]; [93230597; 25600703]; [20061151; 10609741]; [29071622; 69713319]; [4703353; 84705244]; [545980; 9692279]; [1592398; 83631747]; [47753472; 70022228]; [15148086; 80525729]; [71714187; 12501678]; [693731; 17254974]; [64381324; 30615179]; [82937259; 5818592]; [80786368; 10636420]; [12397334; 70756941]; [86326527; 70654729]; [79082612; 98848615]; [96359005; 89912156]; [70109997; 65735873]; [52253676; 78908714]; [74838690; 40819826]; [69180125; 89211155]; [59887761; 32802929]; [13356307; 78512951]; [5674303; 1453660]; [57069835; 12094642]; [88074016; 45811178]; [52706738; 55922133]; [18970452; 5853472]; [57066617; 87265851]; [83224824; 28615442]; [2314170; 93649112]; [19812067; 41536938]; [98529311; 49119907]; [22227392; 49663044]; [83555724; 72056818]; [18941478; 75139070]; [99837801; 14935030]; [604552; 95180365]; [78067120; 89362762]; [3012373; 75415384]; [22205472; 88177013]; [12383875; 36587801]; [76118893; 72654278]; [64282968; 74552052]; [72378605; 24096924]; [74529693; 36454868]; [3864998; 76029585]; [64297190; 59119447]; [69955113; 21503634]; [55250566; 2224841]; [96911781; 66254765]; [13885561; 88044606]; [99619180; 94579830]; [67592753; 21052995]; [26838341; 55709293]; [82598700; 13386574]; [86515046; 98905764]; [84691198; 20082807]; [86717623; 16449982]; [83275721; 37897068]; [72206776; 11095228]; [38640015; 99463128]; [24688182; 85038347]; [96459885; 77599768]; [9614254; 9969189]; [1092550; 88986993]; [80881918; 32594339]; [81858896; 92759233]; [398916; 25506632]; [99198436; 71399853]; [97950301; 84071492]; [97196159; 31058854]; [22640782; 54033797]; [30475436; 76761870]; [68932350; 96560010]; [54086683; 44705762]; [51616658; 64040503]; [83116139; 6736265]; [94267538; 83398069]; [78773532; 8834367]; [74147049; 77792435]; [37968888; 57994312]; [92442250; 4847043]; [37890206; 74181484]; [87870508; 84773575]; [13166604; 33610448]; [17953122; 80710147]; [5104817; 4887417]; [58893082; 83681541]; [2076652; 88005329]; [20587970; 42603425]; [9542808; 19800723]; [4446107; 3716859]; [30516106; 9480834]; [62874567; 42503361]; [75336978; 35508657]; [89325481; 85457938]; [39023972; 46012964]; [22375762; 21024448]; [5868151; 96718808]; [89894218; 66671815]; [32709741; 72847296]; [98129742; 33298844]; [91265045; 52146809]; [94655697; 50851773]; [61196124; 91069784]; [83970631; 85975293]; [28117373; 91004000]; [33698611; 98623204]; [82660698; 78681354]; [17779759; 43619871]; [35484400; 84530752]; [34694108; 94240882]; [80786294; 14040616]; [54581944; 97913005]; [74167509; 62150947]; [84554538; 44222665]; [49863307; 3932477]; [24268932; 59340549]; [46975428; 2361455]; [2020649; 29665325]; [39121107; 44413938]; [87617815; 98892996]; [46383928; 13029279]; [29075477; 24263948]; [47529963; 55989078]; [45903829; 40473030]; [76920958; 50542170]; [64131677; 59025943]; [26988462; 67436650]; [7857992; 25238104]; [30353674; 50468688]; [81694616; 62332567]; [33781217; 20478362]; [20320883; 45863485]; [91941862; 78619854]; [45227383; 43387397]; [98781588; 17293301]; [68590627; 98895158]; [7139426; 94680448]; [97076926; 41328772]; [65642789; 16097312]; [89401357; 16454976]; [86764557; 93176139]; [39552634; 80587114]; [51389859; 47998055]; [98039629; 98714418]; [32402222; 4150845]; [32524105; 78098729]; [38639182; 53638442]; [47437229; 1125921]; [24989706; 16430523]; [48769053; 65699695]; [28795332; 80750793]; [1907992; 92712856]; [62558059; 56976281]; [50022335; 32779990]; [19343053; 66484131]; [72198812; 49466019]; [84654236; 32379278]; [16292529; 85483298]; [29939762; 44797497]; [85177928; 99686486]; [26991970; 96176830]; [38862821; 20043760]; [69105951; 41166956]; [422012; 66360154]; [59333052; 59131985]; [93458307; 48371358]; [89615404; 27660903]; [61324063; 96986092]; [98483158; 83207819]; [40949431; 32792987]; [24022609; 81988959]; [11476340; 13193461]; [87155031; 25067007]; [67806493; 31797662]; [76638924; 70724894]; [49507849; 31207553]; [97972882; 37755400]; [32147654; 72595017]; [7155084; 22864132]; [24290755; 44107467]; [598579; 51419820]; [60873806; 61824618]; [13388103; 38364823]; [25323234; 90417297]; [97727827; 37652405]; [95923875; 76296984]; [73904401; 50950637]; [12494896; 32293472]; [87031150; 50962569]; [15736530; 24809388]; [6498762; 46330146]; [60822802; 58153345]; [4087751; 19861782]; [59765199; 48502540]; [30150396; 17718879]; [86924445; 71762239]; [79953143; 93411067]; [3584009; 39040798]; [86911700; 46243053]; [34430752; 97404431]; [91215402; 81911503]; [34254820; 41704236]; [68234565; 74328649]; [90523481; 53006537]; [26025752; 20973410]; [70649374; 43859319]; [21407147; 73773319]; [68278255; 50793757]; [36831110; 41835432]; [8912665; 68020696]; [45180207; 50605962]; [12740803; 85044585]; [3056113; 97664157]; [4622868; 71131278]; [73366303; 37773225]; [38171808; 48247141]; [39561546; 27477524]; [97592011; 53794023]; [66955643; 4698308]; [45914844; 9353038]; [58472959; 48868642]; [819819; 73606808]; [83673044; 37813050]; [82904043; 26659307]; [32540929; 54181979]; [96993802; 87653395]; [27412227; 23824367]; [85851278; 6008001]; [11676049; 3734645]; [94668663; 93131373]; [8593625; 84581955]; [10120336; 80833844]; [41896653; 73577988]; [86041335; 2151390]; [15247883; 87281991]; [49924032; 6421383]; [57663526; 98350155]; [1648406; 37894419]; [66044201; 37859321]; [57134745; 97660907]; [13843892; 83533112]; [55097055; 16961151]; [25400235; 71630571]; [45178404; 12943282]; [66710188; 65532211]; [47767685; 57416416]; [44592541; 46348938]; [68618535; 83392733]; [7227697; 11117138]; [82318017; 83705661]; [23123193; 91476499]; [63215939; 63321777]; [6032196; 99829539]; [52068735; 4117759]; [5031150; 69465728]; [88392746; 15785505]; [67865633; 99777430]; [26013204; 31093403]; [27823751; 59516646]; [96726519; 22131946]; [13318529; 63054350]; [87432079; 72789050]; [13505791; 21177575]; [56275628; 40318747]; [53408103; 94877323]; [641733; 8614854]; [7137211; 24723763]; [72634266; 378762]; [22262451; 17151011]; [36107867; 67866416]; [89017114; 64958605]; [55063593; 17454801]; [53911302; 40139250]; [49932713; 3827600]; [29687932; 95134834]; [52944239; 74023747]; [63487023; 74168204]; [9648548; 4947323]; [54592541; 84390313]; [50732510; 68687061]; [66740571; 98464453]; [94155071; 40918421]; [31584866; 24788330]; [60520823; 6379169]; [58179697; 17890566]; [12623311; 16193190]; [54211083; 20217681]; [87296495; 91010494]; [27841488; 46325720]; [95215361; 23158533]; [68357389; 17271394]; [32736907; 84272713]; [29830438; 29410230]; [44403842; 70080120]; [40556872; 31401549]; [8279810; 44715113]; [40309838; 30326791]; [73605142; 5908468]; [88245417; 47209544]; [62193284; 18236282]; [6945913; 48745879]; [58013985; 85988723]; [13093031; 9292922]; [96917046; 35118383]; [92139033; 50297123]; [45978510; 69090898]; [69450479; 3778315]; [21975834; 31628725]; [18009345; 65037785]; [26793714; 36890189]; [88601856; 4093626]; [74468853; 57455784]; [81194017; 31512545]; [81247418; 44591582]; [82665301; 55719782]; [36081237; 46493145]; [99994661; 97366855]; [47673249; 99351008]; [5545133; 27628222]; [35837156; 36943036]; [94431322; 67476668]; [21064105; 83916334]; [3002003; 94186581]; [96281277; 53920136]; [57387709; 25612130]; [19330596; 62919343]; [33643213; 69494332]; [26984393; 48566414]; [74933036; 62891089]; [31643809; 63369906]; [78191793; 60463897]; [59657383; 16143505]; [63993382; 67343352]; [87865788; 30553819]; [21258982; 24900192]; [85283574; 33573782]; [54532743; 24016264]; [59745259; 19881035]; [68560674; 99502932]; [13732913; 64262630]; [15382039; 33748683]; [42158693; 12672155]; [69692649; 24066697]; [84013135; 36403272]; [58021893; 85304828]; [76457753; 52282605]; [38803454; 6849118]; [20395127; 24103942]; [65905019; 44854343]; [16351049; 88453565]; [89068263; 68914471]; [75085005; 87305593]; [35850778; 15997565]; [42781527; 8403668]; [26437469; 55983331]; [93757810; 66488506]; [63752476; 47326306]; [79025646; 15228390]; [9968593; 64821965]; [15529229; 29664084]; [13787614; 24435798]; [74319480; 53274579]; [60843280; 34620477]; [37882196; 48555895]; [93392478; 80158137]; [64952979; 43455206]; [26047333; 48379860]; [61222754; 45680629]; [57971188; 81584023]; [91738665; 33366666]; [99046195; 534586]; [45682134; 64158719]; [21308981; 82400901]; [30791940; 8420998]; [57819997; 65325524]; [51750809; 93496993]; [44218423; 10716407]; [67453757; 35661102]; [86754612; 11549289]; [25874471; 67444311]; [23184963; 73764599]; [98392760; 17455822]; [44366718; 95421109]; [6762255; 36976727]; [77852921; 66440181]; [34243759; 23017570]; [98016131; 58723034]; [75767577; 71504083]; [83067113; 59601640]; [63951087; 73009126]; [68023745; 29317432]; [91047994; 86034284]; [89931336; 26212121]; [15890889; 32268193]; [7430977; 79027145]; [38438594; 87740381]; [94452267; 93830965]; [70544395; 74186844]; [59654466; 76395425]; [14515796; 70217799]; [18059041; 40971572]; [30941410; 42719899]; [16118020; 98023231]; [24499490; 71800231]; [96487987; 28012284]; [16821803; 9987965]; [65224530; 32640741]; [69691522; 68263726]; [34225073; 99987108]; [92258592; 60919832]; [69699282; 64256726]; [96596366; 29349023]; [627863; 96598012]; [63826777; 76544450]; [53390898; 80695281]; [8308825; 41172228]; [18571072; 87217932]; [8371351; 3515579]; [96872149; 66189397]; [37696949; 61437756]; [81137375; 88462880]; [25937741; 30911672]; [89578439; 73438110]; [70204177; 76206704]; [16165337; 15311429]; [41001757; 35023101]; [57744963; 59960776]; [79504331; 38374938]; [78483654; 88892914]; [82135470; 87566460]; [2175665; 98039616]; [86721994; 40754107]; [98704805; 39576470]; [66026248; 57503385]; [93813789; 36155565]; [26026307; 62305206]; [18569348; 78777719]; [34334824; 3018833]; [54969954; 45791497]; [29250712; 8563778]; [96071551; 79309475]; [80056714; 52284585]; [58318516; 32738361]; [12022061; 75671896]; [61696882; 58103060]; [82807749; 30954901]; [74272081; 92093758]; [93377505; 75076256]; [26204590; 17879811]; [15637929; 54606749]; [24370015; 84268167]; [33376764; 55684685]; [29885596; 41048471]; [50171434; 37485146]; [31242418; 56298264]; [47505768; 45050837]; [17305680; 67745436]; [93756285; 77222789]; [14555709; 17298263]; [29306016; 86200185]; [98239973; 75173545]; [29831346; 82540980]; [60574218; 63490771]; [98390202; 63154949]; [17854284; 85198425]; [30247428; 81678669]; [19586077; 64207630]; [12910669; 61017363]; [18271036; 44315614]; [95430233; 17254199]; [61119954; 80047481]; [71095780; 65286394]; [68621482; 62938345]; [99581744; 58971781]; [10898602; 10711568]; [76454272; 41799005]; [74466873; 34163326]; [18009269; 88701585]; [89976332; 4131300]; [65849547; 96873067]; [54866331; 71011943]; [79130933; 65951457]; [48301137; 55531109]; [13023916; 47399130]; [55883199; 31381061]; [82094439; 96481236]; [50937950; 95233622]; [18470480; 90922917]; [67834167; 14488845]; [78589899; 46742209]; [86080413; 80017133]; [65939683; 49261947]; [54696492; 4958769]; [39606306; 916185]; [59735498; 27150248]; [38808952; 20860636]; [40782147; 71861554]; [77911493; 40870902]; [88970534; 37127293]; [1058785; 36379798]; [23773454; 35405030]; [52167652; 53293791]; [61553573; 41834029]; [55828488; 5482067]; [86071819; 79823375]; [27551039; 3262679]; [18951773; 67530833]; [85432728; 53105923]; [75424162; 50029037]; [97865094; 73381847]; [52642556; 29815644]; [84102150; 13772409]; [22546196; 64056865]; [55722296; 14086565]; [60551239; 50236992]; [1744425; 55739455]; [39165087; 24871818]; [76505137; 18630472]; [95132970; 28716467]; [15290479; 56446079]; [45678247; 68058770]; [57352010; 93471435]; [5542447; 55275292]; [25731876; 61479264]; [27345690; 58179392]; [43447507; 1352433]; [46727674; 14073386]; [10817335; 39748293]; [91882638; 68586048]; [18171627; 57392997]; [50275056; 88940353]; [70267106; 91629622]; [27429690; 91049652]; [31030322; 104573]; [56976059; 92255214]; [5554457; 17468060]; [57184737; 85484043]; [5616744; 96483156]; [59774384; 79682196]; [49934103; 89479019]; [73416882; 13561944]; [77173653; 48323049]; [37178364; 74834230]; [71452646; 94659868]; [5227843; 15786517]; [83404344; 13820503]; [27692645; 8267132]; [62730111; 94820909]; [81265251; 49294671]; [28036212; 30389964]; [87856391; 5447615]; [80729717; 13245802]; [24443541; 23628364]; [78334537; 26357561]; [59987688; 78355948]; [16046771; 70052606]; [3892159; 83751168]; [7145434; 33438559]; [26719820; 69101079]; [70494250; 40509126]; [16970122; 65640619]; [23314174; 77862653]; [52099063; 31190765]; [60051495; 34729341]; [5935488; 22518096]; [37488203; 60726304]; [25456014; 61870374]; [91108166; 49300671]; [88855512; 65697256]; [44731380; 81740222]; [3514457; 59969834]; [1201853; 61570846]; [48506417; 64853781]; [75720878; 36690307]; [8720916; 97104049]; [14440278; 69260202]; [90670210; 95058555]; [68560464; 77418324]; [58869176; 97962460]; [96863655; 27148955]; [7401023; 24964633]; [97081907; 80239149]; [33502583; 20915099]; [84767968; 99185776]; [67372412; 78282257]; [79855439; 50394424]; [74539441; 70781654]; [98310791; 30740193]; [9300180; 26630366]; [29202398; 48775295]; [40462309; 28276440]; [31643560; 25968264]; [44907941; 27562932]; [5583789; 44930210]; [88708837; 65794446]; [47483029; 15414166]; [77733727; 26278122]; [25997384; 89606683]; [91831101; 24446781]; [44610576; 53264731]; [46178455; 73073861]; [63056461; 98967259]; [71479967; 25409950]; [50848263; 67376802]; [50467443; 34471789]; [65807866; 8276608]; [72244160; 77510933]; [86293406; 99028221]; [43647355; 95452941]; [5386526; 50373781]; [8543283; 15851794]; [92655537; 42262852]; [40742412; 91798648]; [1319636; 1019251]; [26125940; 78786526]; [80760196; 33102000]; [25898678; 68697856]; [53438539; 69052450]; [88714918; 63335271]; [65920808; 48726642]; [58009485; 66909522]; [60608432; 19308608]; [74513371; 65418699]; [29719165; 62362833]; [84635282; 91550248]; [66126409; 39549768]; [60535691; 86746400]; [37709733; 31857127]; [24694047; 37202961]; [73454945; 89824319]; [53149253; 66989655]; [72540117; 27758796]; [42393232; 21822431]; [44791281; 13364612]; [10136666; 49855045]; [64996025; 49975257]; [31548404; 82753481]; [20333912; 17390968]; [7402273; 99653003]; [81210918; 70775107]; [11175373; 75999598]; [23220074; 38101692]; [13160650; 41238709]; [90560753; 80804732]; [41132882; 32664076]; [24935738; 24149058]; [58320332; 69583885]; [57589554; 31111009]; [48255753; 21547083]; [95182679; 83970013]; [98171776; 57922742]; [45448455; 88483379]; [59239606; 42599012]; [921622; 68878121]; [91532774; 91880907]; [65691378; 38207223]; [79672087; 29684581]; [88068356; 85984646]; [12539320; 95985520]; [55047019; 857400]; [31261272; 13524577]; [40364996; 73054487]; [56724176; 80118590]; [2861682; 39564676]; [26147782; 51343627]; [67112015; 77197667]; [27424988; 21902712]; [6949814; 40138585]; [77868306; 51275385]; [29055554; 30448244]; [55021580; 69254947]; [28567965; 79198297]; [81296023; 92644484]; [23551631; 7735634]; [16743030; 20564721]; [32087180; 63242606]; [99542137; 44788204]; [76974336; 27815909]; [98861553; 76650369]; [14053929; 42965258]; [83046289; 80822142]; [56131220; 65031172]; [45122323; 26007150]; [29723082; 29429708]; [24897429; 36636193]; [85325814; 88581179]; [54975352; 35284009]; [9108695; 38655901]; [59232037; 25609304]; [28242442; 59315942]; [25614633; 66373405]; [50386288; 10475729]; [31582736; 33418771]; [74098842; 23376984]; [84798802; 2356623]; [91550497; 13713631]; [11854459; 69474386]; [28338820; 99576556]; [35609655; 24691164]; [57113835; 82763363]; [90285349; 35468587]; [85355901; 88156821]; [89404741; 21333257]; [8238571; 75321696]; [19351177; 22261937]; [20998081; 93143637]; [22721536; 60257100]; [66131962; 92890030]; [49317024; 25538583]; [68535097; 16948592]; [80937448; 31648528]; [70745281; 81510415]; [80899299; 54019804]; [77491796; 93015329]; [39570738; 99102753]; [18768986; 80941510]; [67714999; 32535126]; [88731057; 60157295]; [91697763; 26367815]; [72565108; 47083993]; [31544958; 35861701]; [59346379; 17987965]; [54761275; 5273775]; [79613618; 8076730]; [40755172; 54305281]; [51107627; 11244702]; [34304471; 29453904]; [42420183; 12471000]; [48087068; 57443500]; [48965350; 7154479]; [14296382; 94910988]; [1181205; 155048]; [53055497; 94491730]; [77866618; 59871248]; [71497195; 38710099]; [22066745; 36353157]; [24602829; 76909036]; [93533641; 19756709]; [96237876; 70027247]; [69370670; 71706333]; [41514082; 342128]; [55421793; 9425351]; [83263233; 27743032]; [75271952; 98131758]; [53035046; 5652073]; [74170972; 96981625]; [48974164; 95626193]; [49624403; 68232580]; [19785250; 8706623]; [64045037; 63833828]; [14850443; 67585257]; [74498081; 27965828]; [30044077; 92326706]; [6841731; 90524739]; [36830152; 56530300]; [14425749; 45225835]; [70425972; 89024757]; [60782769; 37563741]; [38875233; 83169558]; [12657076; 25854216]; [83827447; 11427278]; [12658518; 39470339]; [48286997; 3970015]; [43146408; 91058267]; [18944397; 32911151]; [65351413; 67770555]; [24256699; 42920186]; [52567610; 2367084]; [98492696; 49263288]; [95237005; 27621300]; [75585828; 13815914]; [66889329; 35234460]; [3874127; 58019228]; [25806124; 48333879]; [12912267; 85319172]; [35089280; 71186220]; [85490789; 49102157]; [58792112; 29493889]; [55369956; 12644717]; [61127434; 19396810]; [1353206; 54434984]; [81993471; 2039757]; [4523840; 62011051]; [71590567; 19069734]; [37746984; 80905246]; [53958366; 16477780]; [79228225; 37689692]; [16886299; 76809964]; [35725911; 78678621]; [78765719; 2555387]; [24766163; 46753895]; [49422833; 90321042]; [77179620; 250709]; [91627473; 60998444]; [58290324; 69797327]; [59125080; 38440661]; [40870791; 21107103]; [11519176; 8569188]; [16007291; 10646604]; [65075309; 8454064]; [90380972; 91057765]; [90786249; 3870481]; [20539746; 70310335]; [58778233; 87470277]; [31962848; 64645349]; [84727016; 13983812]; [34916674; 81697578]; [52288625; 2251732]; [93101038; 30197017]; [52833877; 72283114]; [48673068; 2912312]; [60779841; 12584625]; [8993494; 10348510]; [9933404; 4049336]; [78470097; 97185564]; [51954557; 67638591]; [12064438; 43535816]; [24435840; 9186191]; [81906964; 12867762]; [84066091; 30291848]; [93682851; 50806266]; [14890633; 5479488]; [15930114; 15847957]; [62439556; 52015141]; [55357725; 88072588]; [39875555; 99453248]; [97825959; 76331404]; [41312211; 70719672]; [641259; 98140853]; [78791155; 72021559]; [31284985; 47579222]; [31478920; 79556770]; [64211177; 99896893]; [62152620; 47754870]; [26691971; 64669801]; [7524725; 42126392]; [11651498; 11671231]; [26228459; 42719918]; [16545565; 11796529]; [38494339; 78226345]; [38492697; 8727391]; [94443362; 19753462]; [89945270; 27244202]; [6883224; 43047811]; [68175217; 38470550]; [47807882; 24463930]; [99821008; 81492509]; [77846275; 88227258]; [4737334; 43464597]; [14154287; 11333862]; [68366439; 89785968]; [69082439; 78896245]; [71912428; 38669946]; [54203192; 34363852]; [84095963; 59109521]; [70577916; 16074593]; [10163131; 44644959]; [5072162; 51580966]; [55311464; 2963896]; [48455697; 69416918]; [66844847; 42588684]; [89386658; 2501018]; [80438157; 28589638]; [7880281; 60172361]; [98108381; 77853169]; [20311021; 9495392]; [15206458; 39814346]; [12332877; 3776411]; [68288371; 87584747]; [21952106; 43934228]; [62087220; 86402577]; [30887982; 34006860]; [37240602; 37785779]; [6178094; 62594391]; [29858371; 79345348]; [27383150; 56168916]; [99298147; 24869800]; [58151884; 65181936]; [49437291; 80090060]; [67438208; 71328273]; [10013052; 95833337]; [88889680; 55658001]; [94535869; 45894453]; [29597284; 26561671]; [67048424; 88244025]; [54272538; 27709276]; [48101399; 59469310]; [42000186; 67079325]; [20284977; 16313258]; [88339560; 30812730]; [79641525; 81843025]; [85139741; 75797545]; [84370576; 28422226]; [67800345; 69618313]; [91178221; 25011954]; [41716413; 8072817]; [36619882; 49832236]; [16073797; 94331458]; [96977630; 18197117]; [34351341; 68303987]; [24675472; 57182881]; [36420019; 46925378]; [6749026; 1156673]; [70864990; 12672272]; [23690222; 99592002]; [11639716; 92493257]; [27698130; 68484576]; [94649363; 17985648]; [49493923; 3830917]; [27851179; 22858263]; [5407204; 35623764]; [65644151; 81426233]; [27261234; 83813810]; [3891396; 38619151]; [87288960; 20151416]; [88281239; 21167819]; [38713493; 76502114]; [87009951; 92602900]; [91018780; 64140529]; [6284519; 68062695]; [11454496; 70662221]; [36443422; 59109667]; [10065282; 48891563]; [86092372; 81479079]; [58590084; 56694760]; [65997595; 71771202]; [77575497; 49519611]; [83982910; 25208195]; [34629303; 30530785]; [30628500; 11122783]; [72290111; 76005763]; [55191951; 8548529]; [53467300; 98475202]; [5201418; 83990778]; [78974081; 47873920]; [52831052; 66482813]; [54128941; 28102886]; [11064817; 3195961]; [53654068; 23120195]; [30084022; 98984637]; [33518272; 90761140]; [65950306; 9532182]; [40770258; 45151048]; [57860481; 98465426]; [50568621; 45264486]; [37788044; 98920982]; [19847881; 98430432]; [55962495; 53853296]; [76557070; 92078920]; [20100242; 53195663]; [29065988; 83903399]; [60727062; 84231281]; [16158605; 99301638]; [75329624; 73326025]; [82388558; 20809072]; [40420273; 24754431]; [9577426; 25184192]; [70406557; 86019762]; [21825743; 14055021]; [42146170; 12826307]; [18151389; 27737975]; [7817976; 73696493]; [98288586; 44798331]; [52291363; 11784232]; [79783701; 92436521]; [57445299; 41444383]; [85816630; 82359603]; [51631932; 89841224]; [64499005; 21668208]; [73926683; 51912328]; [59781052; 91044218]; [35353208; 46171339]; [38454201; 1799980]; [53728608; 80592054]; [72407158; 93482700]; [24698274; 80879256]; [72710874; 21911890]; [9564590; 68001267]; [47908198; 60707749]; [11410071; 61285408]; [68989859; 12383732]; [67034381; 84856635]; [1237510; 11044262]; [80753794; 82254825]; [22973881; 72675875]; [51628474; 39357749]; [4439723; 54260642]; [85982663; 12422981]; [38307010; 68552710]; [11685900; 65949595]; [88258070; 69927934]; [55498713; 57752333]; [16567254; 80987020]; [82154710; 636050]; [66368063; 8495444]; [668812; 83192341]; [63798485; 25073455]; [36269008; 96103452]; [85521261; 67698257]; [98430586; 84850688]; [99352070; 9956117]; [56453569; 81512971]; [89766533; 1934547]; [68243495; 11336251]; [53802828; 97447059]; [37559198; 32245591]; [45141617; 51270897]; [86566094; 26335400]; [20128601; 9082936]; [14183840; 59718922]; [35223563; 76310136]; [40970723; 35868596]; [11888295; 10916825]; [8716613; 63071975]; [55660784; 36487580]; [73142186; 62583557]; [66938032; 51334092]; [36780034; 67089087]; [405534; 34189983]; [49531992; 4093571]; [93332121; 44083538]; [94049489; 10698291]; [55690187; 62833323]; [10730222; 14052863]; [72923710; 5819]; [7204576; 57904982]; [25727223; 23094247]; [42380753; 87393818]; [39682993; 14717558]; [24490956; 2711020]; [62971978; 78260844]; [84058705; 75325262]; [59593886; 47037277]; [2814475; 34460624]; [50269459; 88985492]; [87359525; 47941629]; [23347033; 31775292]; [37733055; 94645003]; [42654081; 33984383]; [34487751; 4131074]; [72260465; 92344598]; [77660806; 63135071]; [70716013; 24212009]; [13716809; 37773022]; [23867424; 72803130]; [55074270; 55126630]; [4015589; 82607341]; [10851980; 59262376]; [52624078; 68874480]; [47813815; 88164985]; [71033578; 398541]; [44086813; 51759745]; [77187453; 76826296]; [95657970; 3188706]; [88772888; 4156616]; [28515542; 1982429]; [65631363; 52714695]; [9144964; 63817438]; [58574494; 61337085]; [85611811; 59167919]; [10762455; 65217191]; [16453770; 72418064]; [5482304; 55133372]; [57501920; 41039363]; [19708290; 92774897]; [14910068; 91413548]; [91744669; 67661851]; [38990131; 14507665]; [33922484; 97669834]; [58266127; 10799380]; [15770432; 94948345]; [47546033; 23249858]; [64927890; 96819727]; [66126633; 62145788]; [56376610; 5718833]; [38355878; 27565371]; [38275315; 31926894]; [53982732; 91468488]; [18782892; 97754201]; [13162598; 72293983]; [84787703; 51192374]; [78715089; 74493157]; [3611302; 31042090]; [38202515; 77274518]; [36131797; 29227374]; [66319176; 8838982]; [168595; 87577366]; [37224503; 48100592]; [70221838; 67427437]; [1773028; 90043888]; [22428569; 29939926]; [84906; 69365353]; [39983327; 22719724]; [61266604; 94848200]; [24742790; 55030207]; [31205877; 71850475]; [57717204; 22868043]; [44254126; 83490903]; [81855862; 45754945]; [22479297; 896169]; [75001978; 67630784]; [10085987; 99814511]; [10040; 76303262]; [1745363; 70523179]; [91037886; 28615300]; [95353517; 96560042]; [83085753; 52215311]; [7872254; 99634726]; [87617085; 97655224]; [72598855; 40045902]; [70746919; 5716091]; [75013146; 36051064]; [73952468; 39981700]; [91742864; 86814335]; [29054746; 48789795]; [98535629; 90586143]; [59657848; 58807681]; [23487259; 40747416]; [236845; 97998817]; [2874586; 71332842]; [82174563; 99461356]; [51569302; 55653410]; [62916765; 28895839]; [73177123; 32034179]; [94137544; 62479422]; [56354763; 82340100]; [88840316; 84626073]; [98942081; 22195853]; [63399136; 33854228]; [65508838; 94108171]; [56173986; 74496261]; [54596923; 47591957]; [11640094; 2006837]; [62039756; 44606112]; [42320702; 13380600]; [40865585; 92037003]; [12608553; 30237394]; [11778051; 31381802]; [51641062; 24266466]; [44716708; 2256086]; [75496285; 79446195]; [82940416; 63989939]; [968911; 60933376]; [59464383; 63619149]; [58741332; 84764762]; [61124064; 76569114]; [93338439; 85580146]; [31406774; 76580227]; [77745500; 41752404]; [156171; 17217226]; [94162942; 35893577]; [96219966; 49670537]; [11765877; 98370874]; [37788840; 3830382]; [62364820; 11539408]; [81420129; 34906]; [3721349; 57336818]; [77442180; 12058626]; [90403939; 26634294]; [87142442; 88932732]; [84721347; 40583142]; [79541162; 63697827]; [52831655; 67585493]; [9267784; 1201115]; [92996180; 92284395]; [37499018; 78722022]; [15408121; 58883256]; [50391228; 357330]; [8193871; 39599652]; [5392611; 15485438]; [62972863; 6629946]; [9423152; 60232176]; [94342517; 25257089]; [5985195; 78913141]; [92754984; 37462167]; [41920653; 45005052]; [3302497; 52134963]; [42702249; 57033678]; [7102189; 5325184]; [44483360; 58799840]; [62427722; 76277570]; [80952926; 82369155]; [47620911; 84430017]; [9837191; 62298301]; [95934077; 52474928]; [70582401; 43487747]; [28672624; 9462267]; [75505152; 92962184]; [49114237; 30126769]; [67816666; 45820635]; [99087010; 99411226]; [82963018; 15491193]; [5330273; 43491298]; [60354906; 37373398]; [9386340; 16147844]; [13246962; 58719742]; [25764362; 47023027]; [57353812; 84854061]; [96727047; 74250341]; [76292643; 35065293]; [77871811; 34899799]; [19232806; 43159494]; [11816376; 41381790]; [48473027; 22114229]; [68095020; 62118558]; [98156750; 23417666]; [37556024; 17228380]; [83508483; 65507370]; [60966362; 14092089]; [17221767; 97565670]; [89977389; 99688874]; [63040868; 31760358]; [2316007; 66892267]; [93401729; 36220109]; [85770414; 82959953]; [4839799; 42266861]; [98008037; 97161694]; [26443705; 72228957]; [92981073; 45591804]; [87669452; 46874948]; [6713567; 84566487]; [20962882; 10999524]; [95328232; 28101258]; [55658155; 52257017]; [78420968; 38952128]; [96382750; 91554832]; [82863726; 97284895]; [44227631; 46839943]; [63802570; 37619434]; [26569567; 94349496]; [60653994; 85718975]; [22025326; 59299777]; [94496011; 77987023]; [4055012; 14891422]; [30697233; 53835301]; [39270710; 45598093]; [71919045; 49895960]; [5285430; 89415748]; [68246978; 67393002]; [56301942; 16278753]; [39564049; 39285276]; [90974111; 2408306]; [12559013; 15257856]; [3559341; 36845972]; [89693915; 17778787]; [83271880; 15532363]; [43802416; 40373120]; [90184747; 5020876]; [26929253; 68597946]; [2678363; 23698172]; [10634743; 21788634]; [30380982; 69388759]; [52516099; 4965058]; [48477517; 68453544]; [11795642; 98105855]; [5983798; 74491742]; [62615630; 63376467]; [81380974; 115734]; [43066230; 31968407]; [94384848; 63433885]; [34325971; 24341232]; [45446970; 76984211]; [37579584; 35377028]; [7444150; 60076116]; [72790446; 28841543]; [40775599; 84187204]; [27833947; 76810310]; [90043621; 16616481]; [99962581; 71991652]; [80467040; 11088788]; [81875586; 5268210]; [64138773; 79371491]; [62620023; 24907939]; [47547134; 19241937]; [28206486; 19447409]; [30846038; 6684854]; [30100973; 72337251]; [36303852; 70853332]; [20690491; 77027739]; [53911438; 37704055]; [71753262; 38777492]; [36564192; 35493995]; [77660744; 11467784]; [97050164; 23657233]; [87416839; 91812605]; [45562110; 97417736]; [5576717; 40420813]; [51413588; 97947165]; [40771562; 86581071]; [51532591; 868593]; [5707658; 77846329]; [77616113; 26549960]; [59954521; 44409895]; [77360000; 66124791]; [22348034; 50593737]; [21590971; 70958542]; [95605871; 80866266]; [4075713; 64653311]; [70199246; 48403546]; [17136265; 859491]; [61047280; 89959161]; [1403571; 91259059]; [47393722; 6205986]; [33107227; 23167100]; [77221364; 4964048]; [11633090; 55266007]; [7529085; 5044956]; [96683445; 23297290]; [18067032; 11908114]; [48975682; 92774403]; [67587571; 36520164]; [73436490; 1703362]; [37635414; 69202794]; [5463837; 40123640]; [29953396; 16073371]; [53792112; 50559231]; [3875650; 44707618]; [52863329; 85308263]; [7136029; 47103263]; [29499684; 91264396]; [40674451; 62357867]; [73657877; 73167972]; [81389480; 36942193]; [28233466; 2559297]; [95130918; 70713838]; [81776305; 99029892]; [57692587; 73637268]; [57764599; 8971188]; [33679650; 15686398]; [62038328; 54624613]; [52298504; 17386830]; [41956282; 66611194]; [30045781; 8048347]; [11430138; 13301783]; [47897975; 60929095]; [3566958; 57647164]; [24560504; 39988280]; [33060108; 25603231]; [78622526; 56246138]; [19278574; 55551659]; [57640245; 21901108]; [40958980; 3836592]; [79183983; 64985088]; [15955167; 47460904]; [70908260; 88872204]; [63022906; 15126181]; [87760727; 30570782]; [61848837; 77629182]; [74569211; 14207985]; [58453650; 30434726]; [15199215; 26046869]; [63791449; 28751458]; [60641355; 48973916]; [13818948; 22609493]; [70220068; 13620012]; [10249087; 7210598]; [12432352; 22736684]; [75533154; 87476434]; [82119655; 7449293]; [40832163; 18019069]; [58371092; 79096565]; [34803117; 34081346]; [29114210; 7132986]; [59679141; 90888419]; [23191029; 91423699]; [16639342; 80728071]; [32000340; 78443094]; [66483798; 39186801]; [99489530; 77994315]; [76044840; 42798560]; [72555523; 86129936]; [77185092; 87737669]; [47466348; 83133417]; [82185604; 49614506]; [14615979; 62813385]; [1069901; 74217177]; [86055807; 32670936]; [99013813; 97488373]; [91836634; 36201668]; [68188834; 65338072]; [28973057; 52839822]; [40899082; 8595717]; [83953913; 31160370]; [34377733; 16332392]; [77571757; 62279920]; [13429651; 13868750]; [81024671; 98913581]; [21371893; 57492088]; [94943917; 9105027]; [60040409; 63602613]; [5550547; 6873153]; [77555495; 48493833]; [34956613; 68096566]; [95164516; 29227142]; [96049384; 75197843]; [83741301; 11223416]; [79582174; 57581898]; [189829; 23072347]; [22935943; 21360970]; [48306469; 73288490]; [98089625; 97730170]; [88525488; 21713779]; [36659832; 60328752]; [62670961; 69742880]; [17186618; 7217260]; [3271111; 56372855]; [77224360; 72922616]; [92377118; 68648047]; [78974082; 77952142]; [89117467; 9928857]; [2797236; 70172848]; [60829331; 80640707]; [75928579; 17506616]; [42459439; 14964501]; [28096870; 66505190]; [56962428; 8644793]; [88651021; 23940526]; [83381952; 9088926]; [11510195; 48301879]; [44705737; 90421455]; [82274533; 40948637]; [3773647; 59459232]; [30887191; 6840791]; [11520557; 71826976]; [69258568; 11564839]; [27943552; 85591238]; [114837; 41422368]; [32073797; 43560437]; [73066229; 81490793]; [51337789; 31131352]; [45259474; 64579978]; [5321600; 66680994]; [18234038; 68281949]; [55081338; 43727151]; [64765262; 42139362]; [3968291; 10553609]; [39655797; 31612776]; [69582930; 93693860]; [10287337; 26367706]; [57558948; 91633006]; [73990958; 62898626]; [28500543; 72299705]; [47219489; 74495151]; [11777666; 95984254]; [27557849; 19852353]; [20973670; 1418979]; [7674255; 3352619]; [37043860; 72410541]; [71816292; 84504640]; [71258347; 25978095]; [63403426; 58014429]; [48676126; 91306241]; [47791680; 76923373]; [65225726; 71309888]; [11058995; 35656721]; [79000135; 91738022]; [46199000; 9265206]; [13383732; 64340459]; [61772897; 16901372]; [55955602; 96146676]; [4120637; 17661491]; [1843992; 23339397]; [54483872; 37900908]; [45422922; 2454999]; [25059532; 30147027]; [115442; 81930016]; [32589222; 45240503]; [58264852; 31081029]; [35445251; 84384272]; [28719261; 2952405]; [99253145; 27625591]; [105793; 19381239]; [99482236; 8316046]; [29267292; 43578902]; [22554236; 36999447]; [21972783; 32940423]; [56998796; 38361810]; [9899067; 31319221]; [74011631; 22705209]; [57190539; 81896176]; [58159867; 65261224]; [77472441; 32548078]; [47204745; 23898432]; [67684741; 57273300]; [47686313; 40004149]; [58077304; 72402546]; [74450521; 56844681]; [21462764; 23644372]; [28073926; 22850154]; [80155740; 12382165]; [8465457; 77952578]; [71569245; 26058353]; [64834877; 34536668]; [74914995; 83141962]; [21496492; 55056313]; [61213454; 64734188]; [1589168; 60717822]; [40085596; 33298866]; [19187639; 23199682]; [79302910; 25057869]; [82209052; 96086112]; [65531159; 20032596]; [91061020; 27104135]; [82721275; 23965446]; [51458460; 49519710]; [16266421; 79971169]; [18419707; 82619644]; [61457629; 94035974]; [66991424; 21501126]; [99293312; 22710930]; [8649699; 66542835]; [98290922; 44631844]; [10278818; 65178121]; [15464816; 28436749]; [63249053; 75073702]; [4656175; 62715076]; [78757804; 56419843]; [31126900; 14596479]; [69035375; 57298142]; [41528955; 1287620]; [32353546; 99811309]; [84129747; 47965727]; [86096397; 87266845]; [11728468; 62213279]; [6809525; 80252095]; [62476038; 50866951]; [33006280; 36587217]; [75867005; 29791633]; [19873699; 93032970]; [74456920; 94707576]; [28848816; 75319330]; [4793893; 77767225]; [1748412; 24716367]; [9573224; 78002276]; [95802622; 45762344]; [20911302; 3006022]; [48396581; 30692308]; [5568841; 27455502]; [65213272; 98464742]; [49910765; 10026989]; [78582268; 54185501]; [4597209; 78972712]; [45643043; 79197580]; [62743885; 51817021]; [39379135; 32494843]; [48773569; 58731994]; [51555780; 56052970]; [16521979; 82776286]; [5729385; 38555054]; [40294521; 40194823]; [88582388; 15312822]; [23968790; 91395605]; [55790727; 42765120]; [20594926; 26581198]; [23997277; 86922655]; [68904971; 9640903]; [44868409; 73000944]; [47462084; 93564332]; [1105286; 1215495]; [32573482; 29153978]; [29381480; 83968537]; [78975359; 55725808]; [6983701; 56228570]; [12358142; 70289572]; [19886523; 68153396]; [18294739; 54030805]; [88343943; 80755901]; [77906593; 42988911]; [53937398; 11603471]; [36847153; 88603506]; [64269065; 56602347]; [92826971; 93050402]; [82271627; 35021563]; [80993029; 96695268]; [97175230; 2960973]; [83541152; 38082370]; [49034109; 42287160]; [51814983; 12892838]; [37536535; 62029706]; [73311586; 27925837]; [15953879; 89318411]; [69204346; 54378301]; [4468303; 32962820]; [64037620; 20163184]; [89324790; 43981668]; [99949298; 79719142]; [42060198; 19772178]; [24478045; 62770188]; [71328627; 67184689]; [92047593; 98512476]; [8374045; 80258786]; [75810953; 68226631]; [25033676; 31660833]; [85350871; 8872942]; [96498086; 96048406]; [88842136; 7142907]; [38596862; 54472351]; [82539241; 61577518]; [55378958; 55265801]; [4669394; 26585499]; [8756108; 75040141]; [51218351; 99328454]; [55312446; 53827718]; [40122091; 93175423]; [90912437; 2655540]; [24667915; 93642004]; [22165504; 2727860]; [692645; 13386591]; [51896589; 77043761]; [60368467; 10924204]; [36928349; 31185254]; [85279752; 98593741]; [24376099; 5055347]; [71149485; 16850619]; [53702814; 16621146]; [27216119; 94787608]; [43496570; 66042204]; [6535089; 95366305]; [86013870; 90310908]; [51639679; 29362952]; [8863223; 66235348]; [2200904; 89503013]; [51010387; 95588539]; [89381026; 48237884]; [63871360; 68049992]; [82450249; 98395900]; [43384508; 43549400]; [46692232; 17604275]; [49807480; 84785736]; [58447691; 79264031]; [62664260; 4069660]; [54341537; 38879000]; [65212809; 18601155]; [76588514; 87074233]; [98124883; 90559684]; [20384045; 8137019]; [75752015; 33772641]; [10732783; 29027658]; [7584914; 97361045]; [94475395; 29593777]; [57513808; 44618237]; [44137604; 77748462]; [63159464; 3111438]; [18017667; 59436623]; [47478186; 55794519]; [96756277; 33389663]; [37370991; 13161743]; [22962278; 94260732]; [69175187; 55627773]; [73399088; 67080874]; [77550550; 12401440]; [74924638; 21603253]; [71756184; 9314218]; [29572181; 11642743]; [63661901; 91793736]; [88109156; 98478603]; [34247009; 68365822]; [17186264; 99953417]; [73524967; 45842631]; [57013183; 79208998]; [70612144; 54714699]; [69662721; 99455684]; [40783649; 4077585]; [7743015; 99502137]; [15693512; 15570190]; [93401862; 36891075]; [76164119; 23529299]; [88369442; 39199963]; [37007701; 20977650]; [76326040; 87425275]; [61608075; 28764562]; [27186332; 97551822]; [49873516; 11037069]; [93275374; 96094652]; [74491138; 62939772]; [17559904; 34564732]; [10548301; 58235366]; [58082922; 14398385]; [62976195; 88755952]; [73392117; 86124253]; [40069967; 95321433]; [97861353; 74400183]; [51962228; 1228118]; [32700596; 19435846]; [43058225; 57087229]; [54441306; 25261635]; [69663657; 54676119]; [25643914; 11334727]; [60442977; 33037222]; [34830717; 78982566]; [31941551; 38497238]; [8956408; 56970834]; [88882258; 13736688]; [19272802; 41180559]; [75923861; 92789145]; [75446710; 39584425]; [33992755; 16725143]; [91708759; 87158260]; [84601393; 41002206]; [40901867; 12687665]; [31360270; 28302388]; [94187515; 37055483]; [9015150; 72927354]; [87125663; 2680417]; [81398979; 84372858]; [78994068; 46534112]; [836279; 28434301]; [53293204; 17554897]; [41032768; 99107883]; [22725028; 43470050]; [92870338; 79109176]; [26929411; 46919850]; [44591234; 61809359]; [42013984; 14604403]; [94839589; 26956762]; [4017161; 61395573]; [98350128; 62335736]; [56648566; 15672179]; [59151874; 54108019]; [8434486; 49901202]; [19473016; 52086130]; [26408451; 85407704]; [26661507; 69018165]; [61626552; 6539799]; [22020647; 68890250]; [22187905; 60787175]; [4234282; 15205781]; [91599204; 90876554]; [95005232; 47162857]; [8420051; 75114681]; [7279398; 8737585]; [18062992; 43573845]; [94357617; 97851427]; [36578129; 63832843]; [95077385; 87294678]; [44116962; 57127134]; [25102774; 28235990]; [95270739; 51127447]; [60597949; 93449616]; [91095555; 51284709]; [29736017; 62424797]; [29299904; 46051173]; [85877087; 55572127]; [53362801; 23149210]; [39423267; 58441055]; [57678476; 27181455]; [92756760; 70986579]; [9348138; 63259581]; [92799519; 83897833]; [86779279; 43791152]; [6101993; 7195337]; [72092549; 3894730]; [8417058; 93435357]; [13902922; 23645163]; [59522545; 36994191]; [42513380; 13618637]; [99585326; 10493817]; [46366841; 15160551]; [22808267; 21451743]; [81541056; 44994437]; [79968775; 10555654]; [2275445; 98727291]; [86805752; 57001828]; [54027736; 52791515]; [80582136; 16972841]; [92211534; 19303753]; [9844320; 86667692]; [41799598; 93579120]; [99150527; 45993505]; [23752088; 93247497]; [99260965; 90441832]; [78031117; 31426032]; [90489556; 85489901]; [91301415; 55427353]; [55698755; 8702025]; [23854916; 54330846]; [55525368; 31349486]; [58989209; 77775468]; [33353225; 64512361]; [48173155; 6463742]; [84589286; 62188061]; [54098199; 71756126]; [86324794; 17828480]; [648986; 17882052]; [2283021; 7498495]; [94670494; 13488819]; [52517531; 92167782]; [11574026; 64925090]; [73898443; 25552094]; [22730645; 69773499]; [54532438; 86645352]; [98587970; 60701005]; [75030318; 72672177]; [5713501; 55317468]; [60800407; 56051261]; [52171538; 96179797]; [49325648; 40993056]; [22952326; 58256838]; [33365893; 68763997]; [58610399; 51006104]; [96968252; 95995860]; [50004616; 70361112]; [19976990; 43576432]; [80948490; 85921118]; [46832560; 84425631]; [84529977; 51159894]; [65320491; 3069154]; [30402245; 43331019]; [96548884; 16126905]; [68720489; 51792829]; [11107488; 96464281]; [24839971; 78689177]; [1157249; 72774970]; [9267403; 32410812]; [95780480; 5598517]; [73607918; 76850817]; [14980354; 70808445]; [79076470; 91543143]; [48450866; 46281309]; [11975008; 25779381]; [59873434; 676607]; [91426336; 72693793]; [63538609; 20697479]; [87213999; 31064182]; [11940551; 3969284]; [91715872; 51030795]; [59618373; 33589766]; [22739449; 30113175]; [14319308; 43563664]; [71608570; 45535864]; [21523985; 71672962]; [25561469; 47588391]; [1982702; 96846527]; [2848876; 86570282]; [98641659; 83875733]; [29922183; 70079989]; [57639089; 62780934]; [61032114; 57247913]; [7739042; 13657252]; [30653741; 32352726]; [11216171; 55127139]; [94176713; 22346212]; [59092524; 12320]; [14389546; 49343701]; [13298179; 31355903]; [12142221; 84309661]; [82529882; 15127862]; [843521; 51205956]; [41222022; 11081828]; [84708179; 19913463]; [51012115; 65121164]; [42571453; 53792122]; [46709889; 93137412]; [46362760; 37510503]; [95716558; 22008719]; [86814318; 92669655]; [16700657; 54327393]; [96260490; 71845511]; [10881308; 18945018]; [21405747; 43085061]; [24328360; 94199092]; [54321198; 76786032]; [40828471; 78791277]; [19923181; 13887000]; [41381302; 40891097]; [29382042; 34830850]; [37545388; 44325172]; [68184312; 73351259]; [70751657; 99634662]; [19127171; 37447709]; [64707787; 51915695]; [33902593; 34418315]; [86794062; 32689202]; [43438169; 42490839]; [65941223; 74187198]; [31459445; 85087182]; [51591136; 54659453]; [33176648; 22017970]; [99515728; 2633782]; [47447477; 16521359]; [58199707; 23123731]; [19154359; 60534251]; [9267794; 69621886]; [63356220; 85796688]; [44616662; 3896326]; [14979426; 88914450]; [16318785; 33584260]; [8111390; 8074611]; [7233996; 49335549]; [35141948; 26038696]; [5069091; 78735761]; [54095380; 64883477]; [38867257; 71420396]; [72541210; 78593643]; [8279862; 69807211]; [26953764; 76827902]; [65668335; 95986857]; [53192921; 69232209]; [69720685; 29848532]; [83442917; 71674778]; [76027657; 18925539]; [7145246; 12737682]; [74693405; 27576108]; [76660449; 92092255]; [95262523; 73252292]; [60514648; 42406703]; [77825794; 47242948]; [89248919; 91812968]; [66776081; 43988258]; [53238889; 87041971]; [44803624; 14433359]; [87393928; 69839037]; [18351940; 44894981]; [60839607; 31043202]; [35474208; 7349757]; [85271868; 69491871]; [74205519; 50796100]; [95592076; 10228074]; [91857625; 9048657]; [9414025; 78119764]; [55646626; 42014249]; [55399264; 65803118]; [72626116; 75036959]; [7299108; 88253392]; [26256248; 66186410]; [20829385; 68912608]; [73114289; 71732932]; [4430999; 19790009]; [3883115; 4744166]; [25302034; 86789422]; [12969183; 31250845]; [3652483; 81527611]; [34025677; 4450841]; [9348666; 65833928]; [6186480; 72328966]; [61979721; 68021493]; [11722099; 46766572]; [36043048; 97617115]; [67254834; 86068927]; [16028318; 78992821]; [47574408; 22588178]; [12937618; 9781225]; [48318534; 23456541]; [52283178; 62480507]; [4978982; 49911481]; [60592734; 88624827]; [99245465; 59103154]; [84906911; 53029356]; [23526896; 25542106]; [47912177; 56261786]; [22972103; 7618139]; [18380203; 85625219]; [59409988; 56742051]; [77024086; 1254535]; [87419593; 36965628]; [18088681; 37565550]; [83178156; 40209169]; [99502594; 86484215]; [8098166; 93009400]; [42210293; 63654136]; [59529233; 98185432]; [62429486; 49402525]; [43680165; 70061987]; [32796259; 93068918]; [94844108; 55469990]; [22046915; 29951211]; [91735721; 75425498]; [25105480; 71005820]; [46735592; 52111201]; [34322548; 66510085]; [11187188; 84411172]; [4662487; 64080339]; [54810698; 41675866]; [4045873; 46087082]; [53246582; 64287948]; [90236680; 5321181]; [61168811; 73018183]; [77667882; 55432281]; [9387647; 79102070]; [24637946; 32210181]; [82850510; 74966913]; [1701927; 75101777]; [44334509; 75094624]; [68112621; 94818551]; [13164494; 65949565]; [47242643; 75243543]; [83565151; 84292881]; [43784024; 42280750]; [79517065; 57895835]; [57668605; 46946100]; [62333615; 51604785]; [57279280; 97042011]; [86957096; 58735785]; [78214712; 35119368]; [29596329; 71618329]; [97020186; 37344769]; [74350970; 13811103]; [76281432; 73822712]; [39270202; 70221352]; [1599694; 4102090]; [27159390; 98686735]; [54449715; 44561162]; [28153504; 20713965]; [80902975; 368226]; [37012127; 20767239]; [33604790; 66775131]; [79869876; 80393193]; [10454021; 44943622]; [46939247; 12866884]; [23833742; 94992341]; [64657420; 32524918]; [55131228; 19713391]; [13517945; 47860819]; [30500585; 73689432]; [29347644; 62711819]; [32690912; 71344172]; [84020353; 20726646]; [29839916; 10707011]; [11337809; 32495725]; [53376301; 6639310]; [80793203; 6635]; [57124977; 99645217]; [77011331; 20769307]; [68786519; 43869705]; [483260; 77842223]; [1312990; 43574200]; [99724925; 85762755]; [79494744; 67888382]; [36828062; 34727310]; [57560530; 66291568]; [43272312; 65845676]; [87711135; 61972757]; [73912728; 88075109]; [5464804; 86960108]; [81324800; 46947637]; [37628186; 24041633]; [81429799; 40933469]; [99711769; 60164298]; [54715793; 46928480]; [56304282; 15630382]; [76577113; 85712775]; [71723783; 78666946]; [83827311; 71445784]; [62836878; 95999714]; [67552991; 79906084]; [3489655; 56656250]; [37397898; 60629754]; [6548560; 75731006]; [55323091; 47559856]; [49361386; 65245100]; [87118648; 3719238]; [56609924; 13745916]; [42510608; 20117990]; [81362101; 94946153]; [95130706; 73544445]; [1342851; 41427183]; [72475556; 95368978]; [28081611; 56029069]; [84199894; 63108185]; [50107717; 90983169]; [29413593; 84856141]; [54986390; 40100953]; [77875880; 31719071]; [84778993; 75326785]; [97228728; 67357011]; [44834923; 655869]; [42089844; 48754424]; [39329165; 2406921]; [10724087; 3834199]; [3388834; 61699619]; [83265711; 10729060]; [13696376; 47797585]; [49686880; 9103815]; [68634217; 1926569]; [94584789; 35679933]; [74754292; 79425433]; [24089591; 28534326]; [34661745; 64004423]; [96197237; 24367718]; [60786982; 67015655]; [11234085; 40885044]; [71241443; 32619664]; [93416980; 65873188]; [39194430; 65208272]; [15968168; 40321400]; [13737941; 52714733]; [67121023; 34439785]; [10505567; 90380314]; [6220530; 43342313]; [32884611; 43066179]; [61659314; 26052081]; [40951785; 55611479]; [33268747; 9114838]; [44042647; 53564804]; [44115484; 76187642]; [39125629; 71436155]; [62034670; 8823025]; [60011788; 8912781]; [54531361; 40735019]; [32152762; 13324355]; [15087262; 30405441]; [48136889; 24536995]; [22000877; 80353790]; [1906649; 56929915]; [50046624; 28556490]; [31132205; 48199268]; [40088852; 83263425]; [52891503; 98215660]; [4051020; 28719185]; [79981244; 92751431]; [30612720; 86131824]; [6442405; 50367187]; [2965832; 64674812]; [58500335; 92626721]; [92501753; 61332074]; [40590805; 71430036]; [93242478; 9864243]; [89540522; 46927819]; [69146028; 88545091]; [18137706; 69111841]; [10199158; 46516627]; [62767755; 54619208]; [41885805; 4572116]; [16703963; 85056917]; [69365051; 93120552]; [81729301; 86576666]; [22328643; 75172547]; [85477190; 3873853]; [5232710; 72782279]; [99851555; 82330901]; [39237289; 12710424]; [49079870; 99645013]; [70870312; 21334680]; [80038036; 19959484]; [17845302; 15947944]; [45919393; 71206720]; [29036155; 18658600]; [992589; 42739982]; [50483295; 18049291]; [33388634; 86220761]; [56684623; 33167987]; [44676931; 97015122]; [31589903; 64917348]; [13322195; 29583196]; [78493065; 96969953]; [48935874; 11628358]; [89277531; 48078750]; [75922851; 95982609]; [74615639; 47867953]; [72700666; 45160750]; [18656358; 46010082]; [97488703; 34162715]; [7108949; 64436019]; [49701278; 58090090]; [32689252; 6923390]; [96034243; 46749658]; [33226503; 42963000]; [42460947; 1122801]; [60886899; 59747329]; [30965673; 12153728]; [58645772; 77177069]; [57788702; 47808472]; [46791015; 71683411]; [11359109; 2542323]; [79790826; 77931020]; [47619983; 12863438]; [52191524; 68896758]; [7271729; 40283286]; [46868793; 1471129]; [21147362; 20574332]; [94254010; 73897053]; [89512321; 51797713]; [24683357; 43887185]; [31093595; 51249731]; [79684845; 50051191]; [94654658; 18537399]; [58841562; 12658428]; [94193139; 98916184]; [16229072; 82526713]; [42587274; 71003760]; [32352962; 41938935]; [71265926; 33182701]; [289401; 74141355]; [24160297; 49149521]; [94387629; 80819474]; [86123049; 94893148]; [5506313; 71384361]; [2842636; 34145801]; [19203323; 60576157]; [66783859; 52236626]; [9658867; 22302399]; [22082601; 56702574]; [76788108; 23857615]; [89929609; 85717495]; [41969235; 85936898]; [85963026; 44991504]; [51703556; 37621340]; [95521769; 7699695]; [567535; 81033842]; [80612811; 16461238]; [89837104; 29804302]; [55423109; 1271094]; [51296455; 6153381]; [69334469; 17851873]; [11924793; 42855400]; [73901522; 18439121]; [43662504; 92403500]; [19677494; 52441710]; [84712399; 46771485]; [93286325; 1003523]; [47499037; 89925066]; [5351275; 58894876]; [97655070; 25595581]; [36507637; 91139120]; [68011991; 6798886]; [99520080; 94178879]; [24449417; 29716197]; [29917716; 74640031]; [9639234; 9360477]; [63826561; 91111648]; [27265568; 86069094]; [35065314; 15161891]; [44954468; 94212631]; [20391069; 41069774]; [2325622; 35471731]; [98552325; 78742094]; [38186163; 50354043]; [50086892; 23881753]; [76529988; 10740101]; [73685200; 12090319]; [75593076; 79623701]; [18234336; 28894541]; [48127621; 4805828]; [60922216; 48888245]; [22002812; 39892769]; [98058191; 56668554]; [91687720; 93379303]; [49113287; 75304693]; [26466975; 72953565]; [4580468; 55365857]; [60801097; 68295319]; [73340345; 93702766]; [7025346; 8167078]; [22246056; 53367049]; [19343671; 77760004]; [92784223; 93956844]; [13987165; 70029844]; [41987579; 79178616]; [86928853; 89243238]; [91266000; 26097246]; [24832505; 66243270]; [7785155; 88463385]; [65939207; 16887673]; [575038; 1395043]; [9707420; 72974725]; [88980851; 25733694]; [10183041; 45920096]; [74350581; 79595542]; [33903406; 2066007]; [66396076; 9508033]; [84049280; 62313738]; [44273006; 11156137]; [54276208; 97231849]; [88833958; 1069021]; [78429845; 94032135]; [28325267; 75029878]; [88839774; 1154562]; [39974448; 4698449]; [48700090; 34800884]; [49888554; 40015778]; [82785195; 16914510]; [12311123; 30247673]; [34037941; 58194503]; [56620572; 72263824]; [55688716; 51653060]; [79250695; 65479865]; [57210207; 93132111]; [65872303; 21276661]; [24888836; 2278364]; [61074888; 35701089]; [30397272; 77499005]; [59652745; 67687132]; [46994030; 62918110]; [22376455; 21869723]; [12784644; 60402383]; [63156577; 64559787]; [84980324; 4332612]; [75031181; 31016445]; [97312457; 72982182]; [34241300; 3820625]; [37068395; 29906892]; [45414486; 76025513]; [53033981; 77729443]; [27150672; 37191090]; [36624080; 78757037]; [3687768; 32002405]; [93823877; 13711877]; [44657983; 59573339]; [21230862; 35359040]; [34716569; 61182673]; [58426920; 20397673]; [2497774; 25173412]; [51796525; 95385151]; [38822333; 64671046]; [44104160; 53050247]; [85647698; 69532797]; [36082737; 11080799]; [68510851; 47516987]; [94887447; 90558314]; [35387474; 2164038]; [79078111; 21161207]; [27334414; 7037202]; [16467345; 54888323]; [30799691; 25851076]; [15496697; 70257605]; [30046190; 68794768]; [32062882; 87312971]; [24227707; 43764860]; [16598269; 65322269]; [70820084; 94832508]; [12827075; 63160251]; [17342549; 28975511]; [4239445; 84181005]; [92799822; 3277258]; [48109185; 75334167]; [33818118; 61835827]; [59204402; 94526853]; [32082089; 26460231]; [37678876; 21754394]; [73774658; 45263970]; [89613134; 16515570]; [65541184; 25538732]; [89810099; 62763916]; [3781057; 91716397]; [36761184; 79370704]; [34837989; 48551635]; [53836569; 14637946]; [78143143; 49664855]; [58212916; 34192957]; [21271634; 66898911]; [71474249; 63680885]; [32209675; 24396721]; [90087074; 58295926]; [53385474; 80214776]; [6358576; 93542271]; [22884750; 24690547]; [97843744; 68783017]; [17486436; 82086101]; [96733543; 25519937]; [88742106; 8290551]; [51608487; 18720750]; [7322021; 24079650]; [14336768; 25902094]; [57263661; 80687780]; [28790691; 66143731]; [20648093; 47074622]; [50754676; 63088324]; [56227310; 35460267]; [17094432; 85850217]; [74880379; 6486352]; [16978100; 55974284]; [5971682; 74588052]; [38967057; 95089880]; [18064578; 87112724]; [27929176; 56924642]; [74219109; 85303033]; [12718583; 25842468]; [67336399; 46985407]; [85615791; 79839826]; [23938157; 94891573]; [48085969; 6967250]; [12273874; 85908589]; [73340468; 78080001]; [58964754; 97238521]; [9790435; 79213334]; [40133949; 44198814]; [89297123; 98063735]; [76556369; 15823668]; [4001406; 90126817]; [5458212; 25508487]; [2460340; 88989019]; [86416586; 13006241]; [49341765; 23406339]; [53614525; 19624212]; [87163404; 4341071]; [34684788; 29787304]; [62613114; 95588963]; [66045572; 34150393]; [36901970; 15872291]; [85360041; 81258322]; [8860245; 87727296]; [88636177; 22706104]; [30371080; 30878653]; [89883725; 55636952]; [38950984; 8173635]; [67898694; 82180430]; [77899422; 78053357]; [67750564; 1181227]; [63882838; 96679445]; [23059086; 67462580]; [64642550; 90008466]; [79453325; 31724748]; [42265573; 7787863]; [37255026; 62842585]; [47753017; 59152182]; [94784845; 29872762]; [33536851; 2252191]; [87602880; 53839871]; [76053545; 39387194]; [67760289; 39637482]; [18087763; 73652742]; [43663003; 68157872]; [20995500; 71815390]; [34477512; 6947474]; [32573499; 64896099]; [36033605; 17594358]; [25951415; 84743121]; [15652256; 96615892]; [65089280; 66252361]; [14480058; 90380959]; [15231832; 44787126]; [4875672; 78315155]; [9085395; 24446098]; [30224870; 87536301]; [75649654; 18539834]; [91985936; 51485861]; [60858498; 53050378]; [88880069; 47000629]; [26858767; 23023932]; [56018725; 50879614]; [82494217; 32339039]; [39123564; 33950112]; [3830212; 77888114]; [65941835; 59870385]; [9637125; 18968690]; [43024615; 36048391]; [79570415; 21351830]; [46911473; 9756861]; [86997989; 59280461]; [34068384; 53694182]; [49397986; 8222951]; [7106622; 58878544]; [29267109; 53714382]; [76579; 67952309]; [93254454; 77539981]; [17675301; 75607126]; [86852145; 18652909]; [79034624; 54860034]; [25999589; 41128894]; [40657994; 6517897]; [4523142; 78704683]; [47798324; 83900743]; [29600628; 92875650]; [43416020; 28778834]; [95097857; 37093370]; [1516906; 19673720]; [36899084; 17558385]; [24716771; 52940696]; [30067436; 99069112]; [86264480; 48142738]; [31814986; 35709474]; [48270674; 90571486]; [48408275; 57874390]; [83107488; 15081987]; [92267142; 51817486]; [57661192; 26226626]; [6210254; 20254084]; [52171376; 81416123]; [55821727; 38487667]; [68700667; 79186575]; [56823605; 85293053]; [30553628; 12378304]; [30144727; 38588157]; [99289992; 62334681]; [40918454; 73646665]; [61111796; 38682523]; [61522111; 74343312]; [42822426; 65344786]; [77128387; 42007727]; [69754507; 17489543]; [70758852; 18616177]; [80879938; 36680208]; [97631489; 87097775]; [64936690; 43492058]; [27170319; 24485489]; [70742836; 66484180]; [29260740; 41062251]; [48131228; 93171640]; [1402767; 61835715]; [93721621; 40563426]; [86821259; 12133400]; [17911912; 18331258]; [14986739; 27074883]; [14815866; 25135959]; [70970295; 44605376]; [79964941; 44563489]; [10263330; 98442818]; [65636533; 96726350]; [42578634; 95096989]; [51474852; 26633486]; [75665601; 9467606]; [37207132; 44468713]; [70761613; 71724152]; [22642588; 64090514]; [13017025; 58482485]; [17611250; 40232129]; [7595709; 20601219]; [50911484; 76762956]; [21795614; 45132400]; [26590104; 5030585]; [8476275; 69885700]; [9473566; 64207037]; [80848916; 21010105]; [26780134; 80813971]; [12507135; 67183940]; [42708227; 47166722]; [18979176; 41641119]; [27661061; 29592083]; [82285825; 75735468]; [20262203; 24559647]; [12377170; 93087479]; [67267034; 75063523]; [14041951; 88843291]; [59635077; 63002465]; [55765634; 73956322]; [23771649; 47865201]; [15317909; 91443658]; [41665134; 25789183]; [15002352; 36902603]; [84506214; 9866065]; [90363972; 57823359]; [31974843; 64888201]; [6766164; 2996364]; [57965684; 10758043]; [15708184; 45943425]; [26121864; 54796170]; [29716401; 17447903]; [29968366; 72862139]; [37630343; 15481200]; [39465569; 92869442]; [1037114; 95427159]; [35535814; 91251755]; [11342117; 23827266]; [48079013; 19851603]; [67169803; 16634267]; [80779926; 38754207]; [73851027; 89369727]; [96600518; 41704803]; [73935101; 25261292]; [76040338; 62558848]; [50128975; 88863415]; [58312177; 39392378]; [16445265; 55892004]; [2491779; 26438282]; [21904611; 29349263]; [60230301; 90672720]; [96420571; 5641349]; [70607133; 70653782]; [68037841; 15685062]; [88491755; 19546147]; [60771935; 84435343]; [61111674; 46815812]; [52209512; 80771606]; [94912010; 64515336]; [29150898; 51690893]; [95922980; 10245303]; [54089714; 65106237]; [91665695; 43051200]; [16321458; 34491152]; [47328547; 91392925]; [70456769; 11653545]; [76139511; 44238527]; [96352059; 36936008]; [21355379; 10330350]; [13692957; 22359619]; [72205236; 83467528]; [43621291; 63023231]; [60811996; 85350682]; [14085258; 41922289]; [97944440; 59357211]; [20258043; 81599166]; [80449020; 31310556]; [50797972; 43554054]; [15794914; 78558530]; [58743773; 87253735]; [85560746; 82453300]; [72113390; 97526657]; [38003009; 29466289]; [94182378; 39504919]; [29841422; 82103210]; [2173055; 41557285]; [35914523; 66417633]; [87579280; 76396084]; [55227874; 14071718]; [73131266; 94389038]; [66956313; 14159058]; [25560536; 15213053]; [9370660; 25963889]; [98369535; 30016827]; [82634705; 60698359]; [23671558; 43970508]; [84514446; 23694016]; [26240742; 68615373]; [57222173; 82265669]; [25843992; 94965600]; [95299035; 73630693]; [44169218; 18430764]; [47972307; 52181542]; [6481717; 79134305]; [2383911; 58496343]; [87697676; 4608598]; [98935286; 398492]; [21446519; 6920822]; [82662651; 7213430]; [55906345; 17390418]; [40341740; 77352362]; [54317236; 158344]; [6502783; 54472162]; [76715190; 48614320]; [24874202; 15240361]; [32356651; 40352714]; [38001147; 42293397]; [36213491; 5877374]; [13729821; 83270602]; [13288503; 33144204]; [30339385; 87320546]; [42413753; 18409719]; [85063936; 83414071]; [26941848; 13978980]; [30607759; 58932153]; [8795963; 97172317]; [72485671; 3633881]; [86418057; 53010968]; [14980099; 92386228]; [83289680; 79184089]; [10668691; 27559398]; [37742044; 27765101]; [10946996; 25886026]; [31551530; 49564417]; [9803244; 75208738]; [66712864; 70457282]; [33890676; 57785385]; [73973576; 40628442]; [4979795; 37236924]; [82194993; 5991858]; [65605523; 22511091]; [66434798; 82307550]; [54121527; 6813195]; [16646389; 15205460]; [22384849; 29605403]; [76844546; 40031578]; [64021209; 6018141]; [87974256; 68260917]; [60076583; 21779272]; [71072091; 89281937]; [16722187; 62885967]; [53530770; 10857165]; [66976479; 79303228]; [50757720; 20272824]; [93612627; 33676118]; [21526386; 84214733]; [3709438; 54040800]; [69517280; 39864823]; [38251780; 35921825]; [65472533; 88079263]; [24865350; 5040593]; [60478392; 63211660]; [6796185; 65267427]; [62543865; 78571272]; [75463684; 14690352]; [55610353; 22445244]; [58025988; 36111922]; [80394252; 14061201]; [61116091; 95237491]; [69955482; 65835507]; [87147909; 24253234]; [21526340; 1405635]; [56267743; 30251330]; [25962583; 66717205]; [76695147; 59055790]; [71779440; 44780111]; [32451671; 40353711]; [77887440; 34576870]; [45752962; 71419593]; [52012190; 74779106]; [29659931; 73793634]; [47168518; 79387848]; [91038154; 51551649]; [16618117; 38857610]; [76871932; 9683928]; [31310442; 41741677]; [16461730; 79046376]; [40834786; 97019949]; [33980984; 76598936]; [70953800; 11045443]; [20358857; 78561085]; [46702086; 85204625]; [82815636; 30795726]; [55327574; 48356910]; [75234387; 31995521]; [59242667; 23714999]; [46226042; 73601632]; [74303818; 9355460]; [8327037; 47516335]; [11952127; 95361868]; [6600211; 73746041]; [22966003; 14301158]; [98871275; 58355435]; [77675438; 65647910]; [54199868; 93674691]; [69036578; 18851104]; [77193496; 43862624]; [14526132; 35295458]; [54223097; 354155]; [93647512; 2079589]; [76185546; 67575710]; [93866891; 46877470]; [59682458; 69108313]; [20977105; 16756643]; [33080430; 40848503]; [85091498; 35545033]; [73569447; 5818242]; [13581777; 47599999]; [97939523; 63364149]; [20489590; 42902300]; [82841639; 72937783]; [81640831; 25143847]; [36954400; 38776126]; [86962984; 63782813]; [95514315; 48629910]; [51608552; 52991711]; [23449419; 85788960]; [99131495; 54685097]; [53406530; 61978717]; [22031782; 43945499]; [22902303; 98679897]; [30136235; 9405925]; [2237285; 32126856]; [39694737; 69978129]; [18164592; 42897111]; [48282533; 89798347]; [88206065; 61749442]; [70909379; 55607822]; [10875786; 46937351]; [24390168; 43948172]; [42847046; 60698135]; [70190184; 53431481]; [42039096; 38634322]; [39216924; 68284973]; [19899183; 81269081]; [23900861; 62829277]; [80103335; 19458073]; [88076700; 5043352]; [28179806; 90344252]; [60473952; 90686549]; [85082281; 6995274]; [39681928; 73005040]; [29090986; 61383948]; [48951249; 58177113]; [50878608; 67725103]; [53945896; 65270367]; [79273358; 62438220]; [58480519; 14802879]; [41326734; 79007887]; [92567128; 78960587]; [41871228; 10250397]; [52627749; 98164037]; [82775015; 75849438]; [12746806; 37916482]; [41834007; 19251861]; [93027062; 56818418]; [3148460; 75785392]; [41399350; 78460400]; [16208121; 26093801]; [40914549; 85699731]; [5459827; 93755907]; [99657177; 16859199]; [9150032; 62307600]; [97537982; 35686666]; [6602611; 9192232]; [13946704; 22249478]; [96519246; 9134514]; [95172852; 97441872]; [11197875; 39381489]; [81006929; 57701064]; [35249685; 61736975]; [51948045; 55570471]; [23055117; 85571593]; [18465179; 5162032]; [79148446; 31038791]; [62477390; 4238223]; [29337948; 68786781]; [64365087; 25401011]; [4128347; 63267055]; [67136025; 69517599]; [77345413; 53531676]; [27683684; 16028613]; [63468148; 92401296]; [9017797; 18848773]; [49601485; 33757391]; [63440920; 97564869]; [23140900; 32572896]; [57809163; 43370037]; [33559176; 13986578]; [2557231; 21938724]; [69836959; 23895309]; [52708364; 2171386]; [86408538; 21052273]; [43540998; 11666086]; [78096762; 51082392]; [54565371; 556011]; [98516355; 1256419]; [64074575; 82970711]; [5895769; 7937961]; [80125278; 76545407]; [22937849; 5850688]; [15134144; 69875747]; [43777966; 28733964]; [6323034; 89553829]; [23453459; 73980975]; [91007690; 33449767]; [95263544; 73191043]; [74162379; 77180516]; [21774687; 20758770]; [62679058; 36036174]; [54685345; 47452457]; [20429517; 75050636]; [73109530; 17328819]; [1066361; 90697552]; [3069595; 57516426]; [67980524; 50103317]; [35766223; 19536960]; [83671623; 25042027]; [31218019; 33774954]; [70545987; 85737192]; [2990713; 53147853]; [45789578; 33355986]; [2260443; 45086066]; [29063031; 89165605]; [65959036; 85744526]; [75197896; 66665401]; [88062765; 97816497]; [67248251; 50812124]; [55390699; 45923799]; [32410216; 73199637]; [34062219; 58465680]; [8232585; 38501230]; [40397530; 28348588]; [70188929; 23023755]; [6240183; 15260761]; [6067612; 75196864]; [582618; 47815252]; [72291625; 25185017]; [28634843; 44990460]; [55853196; 46140821]; [23285542; 11699213]; [68963849; 70484232]; [29030767; 18596212]; [58782644; 62441027]; [36741320; 54903877]; [68614108; 88271462]; [57681164; 99647770]; [7012316; 26369434]; [43529323; 27979956]; [4078006; 32996448]; [90146463; 63672825]; [21548380; 80118543]; [54547869; 70754636]; [96223108; 44541374]; [57851540; 33659620]; [33312416; 11867753]; [21381135; 21070457]; [59379097; 58561433]; [65361707; 67463466]; [29960192; 37955614]; [83036601; 11941324]; [82472585; 91285284]; [80588363; 27553035]; [56147563; 96321122]; [34936873; 69644251]; [30098602; 90880370]; [33953940; 99712333]; [12042503; 98556932]; [27471985; 71626867]; [31277927; 67882452]; [88660910; 26318453]; [30119213; 36078785]; [42921863; 36033900]; [73471088; 87501083]; [37225420; 95717413]; [47171337; 79490069]; [28161803; 80888579]; [79074328; 48861494]; [15162121; 73418116]; [48040747; 17790890]; [77098475; 72057368]; [38099474; 66060196]; [90358669; 27837926]; [20122391; 84578167]; [77720774; 62628886]; [25841179; 33949227]; [31046456; 47738348]; [36179024; 25136610]; [55306236; 43266966]; [20121428; 82033383]; [84146532; 76005791]; [7274936; 13450507]; [54715612; 41279287]; [35769941; 86966877]; [1816529; 40897751]; [5107640; 44903308]; [41016189; 11080566]; [23357597; 48649132]; [9317624; 2146083]; [50184997; 38234404]; [3041283; 79904113]; [95424394; 46454242]; [97962436; 15068406]; [80313377; 6313083]; [81336003; 34565758]; [76736633; 994154]; [13264193; 90814513]; [31836965; 85836380]; [85449516; 55959783]; [35476247; 48575550]; [24844225; 16631616]; [48366001; 34487191]; [25790788; 62444776]; [89457993; 74891524]; [72978083; 24477778]; [47321247; 66809507]; [5186030; 35715949]; [71954141; 68112697]; [78631028; 54685217]; [74052686; 94929208]; [81549152; 67055398]; [15902585; 3459169]; [76897462; 86424759]; [70224403; 66241718]; [78670056; 39243050]; [5472598; 1738840]; [16146824; 86933168]; [70447834; 46397813]; [77649076; 15775130]; [55114241; 46160122]; [45598229; 27583644]; [59261242; 34535567]; [51014711; 60629676]; [68664265; 60647437]; [67399823; 2443149]; [79624703; 49953286]; [73224072; 12735422]; [78806497; 80575737]; [43617727; 32716840]; [56859430; 45669529]; [97286221; 90860842]; [50914939; 82078623]; [97270902; 76401980]; [23871380; 89479369]; [44430154; 62569880]; [24923097; 45589954]; [20151613; 51308347]; [89322518; 91650680]; [46771855; 42908936]; [34394248; 97231511]; [69499110; 11309773]; [94654493; 5344729]; [59682719; 67805768]; [4496922; 28134144]; [82839489; 5056623]; [68705088; 35297388]; [72536346; 24549123]; [49232287; 67269583]; [79350968; 24975525]; [89165101; 7469517]; [47261284; 31341386]; [64484529; 98662901]; [53485213; 41898663]; [72274641; 38754017]; [92477396; 37548160]; [40160538; 76577026]; [93604805; 81353278]; [94801229; 1270013]; [98667783; 13495895]; [80615507; 83671247]; [33479905; 266054]; [80212512; 45256029]; [6402266; 79859986]; [17888644; 93757606]; [23087061; 54284897]; [23500422; 34401329]; [84331047; 25119115]; [26321775; 14662453]; [62822185; 35943214]; [72468125; 79317043]; [42868684; 57621898]; [77734617; 61430565]; [84120025; 31764014]; [55839827; 7650454]; [74024743; 86185951]; [94634335; 51978888]; [68055057; 15980673]; [59619775; 78028812]; [28387619; 44300419]; [51153214; 88861549]; [20362968; 66685209]; [20776328; 19743911]; [31858214; 77331061]; [65305435; 11114637]; [30885283; 34331602]; [14543654; 50224083]; [20619122; 74399311]; [97521426; 95618455]; [91221707; 53146672]; [94929298; 56712535]; [88715251; 7025497]; [66470282; 48564742]; [92487991; 86541743]; [75569010; 21485792]; [45537377; 87747346]; [81531080; 35428510]; [67882386; 73072783]; [71163554; 30217087]; [23431970; 91297217]; [89288616; 21021540]; [45048604; 37227405]; [71275150; 95744872]; [19726336; 58809750]; [35154531; 86229564]; [12845698; 7220147]; [56182754; 46525021]; [65996045; 75056687]; [21403768; 23657076]; [69290781; 5418170]; [2427099; 47387086]; [89849885; 47160163]; [57187016; 44667181]; [49920797; 12932121]; [17395926; 48697044]; [11994926; 49415544]; [72410607; 14845251]; [81396874; 12066805]; [76888975; 14214642]; [83273428; 84773997]; [20699364; 87858363]; [82427258; 83265383]; [59094752; 59361880]; [95707274; 25922330]; [29533169; 33592631]; [14199470; 64384001]; [52356710; 19515122]; [4890410; 17309703]; [93713331; 52196013]; [99212005; 26078674]; [17539964; 12370724]; [98023753; 75415456]; [6788044; 40329142]; [5988209; 13881925]; [54494548; 84115648]; [53717476; 15431885]; [58340211; 89998645]; [86091196; 28055251]; [62876176; 65308878]; [29896148; 13459466]; [79877348; 75711226]; [9405466; 38330101]; [64197569; 56728088]; [40663224; 67526827]; [74565983; 50632585]; [42099285; 73170984]; [34443370; 74070944]; [36566039; 20923100]; [93074245; 43317326]; [21854620; 93962672]; [51506315; 47530121]; [18981859; 31444333]; [98400488; 65410704]; [90099161; 72538481]; [78392112; 10599197]; [90145135; 95867772]; [51949654; 84522043]; [29961793; 46311692]; [2610316; 66307824]; [25911334; 65561541]; [46989155; 82291620]; [11491472; 352249]; [82393663; 95311912]; [53032319; 13574386]; [92812216; 68012609]; [47297671; 47964959]; [62153600; 28340207]; [80776099; 32868930]; [91051452; 42091758]; [7490490; 44381479]; [54576428; 37993647]; [91161954; 56507849]; [19345807; 44842550]; [47772469; 46161709]; [25833026; 86938021]; [99830882; 34770069]; [14232182; 61303248]; [31695587; 69558526]; [50192054; 64104895]; [42223528; 51238076]; [13142498; 7124388]; [30260812; 10590123]; [31462669; 30449045]; [7301706; 89473066]; [71044938; 19230779]; [56792810; 25871630]; [20162607; 85382817]; [6853027; 57294165]; [16709957; 34974157]; [33450380; 51671617]; [5070487; 69795507]; [40143648; 3427790]; [8363472; 30484665]; [87507697; 14178127]; [31021905; 25937262]; [62884760; 68256024]; [10451784; 45247697]; [79577904; 30994506]; [80903237; 41056937]; [2262828; 6197640]; [2427704; 49358130]; [78896234; 44098671]; [62992916; 12395511]; [32005026; 12135227]; [73649190; 6433333]; [82754225; 17761837]; [84463326; 48645549]; [55505320; 70788452]; [50189806; 93162200]; [25390877; 10211412]; [6035882; 98809948]; [67910521; 29308277]; [35906825; 57978307]; [9988352; 71726872]; [71704426; 57923575]; [61860473; 13224822]; [48456038; 92532669]; [82684879; 46033585]; [60661682; 78948008]; [77898468; 90267733]; [36907908; 79924370]; [7260893; 90568827]; [38561860; 14429084]; [18498381; 79598860]; [39548963; 42155955]; [93364160; 27132698]; [31167461; 26684749]; [50192209; 17975534]; [22456433; 9559084]; [69207729; 65289552]; [27835893; 46818926]; [5921869; 76700049]; [61316960; 24611870]; [79740856; 36642474]; [96041145; 70988626]; [43155392; 54362842]; [94668362; 49831624]; [81922031; 62586808]; [66510563; 76419368]; [31527512; 94835126]; [54009585; 6379125]; [95043859; 23074162]; [9719856; 51960438]; [6620518; 92219861]; [11037915; 58164018]; [64468213; 67572732]; [37113893; 1844427]; [15484645; 37223254]; [26107940; 16334462]; [43821274; 13673244]; [11870972; 63412886]; [6261433; 67803042]; [34105179; 91662448]; [85414370; 64454151]; [94455992; 82737834]; [83712425; 93552470]; [95401089; 73795975]; [76003588; 60920091]; [24440263; 56810980]; [46406941; 77856464]; [90329015; 82215467]; [61678199; 9167857]; [17981738; 56383967]; [56377126; 96430172]; [32667779; 87318594]; [23356865; 42474505]; [77408830; 9812713]; [92753895; 35044584]; [7375657; 79412152]; [36184926; 206258]; [22101771; 14233938]; [42911783; 37636974]; [28829223; 6235376]; [57607675; 80617191]; [82610337; 46854611]; [21192852; 96147761]; [16516511; 65235014]; [68228697; 88121189]; [52694316; 23422001]; [76588087; 94629915]; [2835529; 32319416]; [55437190; 90411516]; [55148432; 46035873]; [82129770; 39876597]; [49810974; 8586229]; [54306806; 19470645]; [52204637; 28707087]; [84207062; 88661011]; [21944022; 38081406]; [32273049; 96960493]; [19832881; 9356854]; [26086722; 97070775]; [23523784; 80413789]; [33744324; 50047421]; [24067506; 39731379]; [41488411; 38453788]; [3986602; 81486354]; [66121657; 12338390]; [66935851; 30050772]; [12649694; 96302004]; [58520388; 44400262]; [16494313; 68872579]; [12998373; 57408677]; [92601610; 82925325]; [41481150; 16955747]; [38049555; 45554176]; [34844934; 20906589]; [33913945; 5681784]; [23257696; 61733276]; [53185880; 95490486]; [72836078; 30717624]; [95505064; 8016258]; [4772417; 13112345]; [88173226; 98969799]; [51076916; 67650093]; [74818365; 67492730]; [75546257; 4362025]; [55368365; 3122468]; [48972216; 53932477]; [34607622; 753280]; [46807968; 63570576]; [17116431; 54749130]; [40486809; 16262921]; [97780630; 73320594]; [77891366; 33635007]; [11438683; 62104220]; [97505392; 65943782]; [73950682; 90248962]; [54311526; 62875331]; [5537762; 50691726]; [57308337; 78291176]; [59005076; 8906439]; [47564451; 65299914]; [48763842; 96458398]; [18890896; 94376896]; [37732331; 40217489]; [71762916; 68448528]; [54678986; 83938268]; [39128228; 46584857]; [41090871; 69994504]; [47609381; 79033267]; [46756097; 34120142]; [19994455; 91138250]; [46631290; 76254822]; [53727877; 4301502]; [27919244; 80496571]; [64621445; 99072751]; [96886183; 43351703]; [8280356; 63424524]; [7425001; 99127943]; [55870512; 26992644]; [85760368; 60334866]; [57419992; 95284183]; [72795796; 20262247]; [63971176; 18801631]; [30295198; 75711759]; [83715644; 19752266]; [62666361; 25781449]; [92628208; 39585247]; [37526249; 52692935]; [63230640; 36442114]; [67437158; 33657472]; [41594729; 53667494]; [69082469; 47478589]; [32966888; 77027527]; [43905610; 93551961]; [84348674; 53554480]; [66573048; 81677398]; [54531371; 73961160]; [33269964; 33161276]; [87246534; 3092384]; [59837452; 289272]; [21376739; 10855723]; [96389299; 74690206]; [39680481; 44685343]; [80300965; 18458911]; [36340422; 41727751]; [47690995; 45810250]; [56869705; 60949380]; [4627096; 76392736]; [26645499; 10903496]; [34921502; 57476623]; [97052691; 2970798]; [22476629; 99753286]; [35001557; 4417462]; [67357157; 47002803]; [28630293; 45068532]; [95056703; 88074989]; [6356744; 22341960]; [48665880; 73635056]; [94668990; 73875720]; [41804937; 89570015]; [96486307; 94964126]; [86710832; 38181436]; [85753355; 45534020]; [58383685; 23634092]; [63005762; 47790502]; [53309392; 12672373]; [31796929; 54198853]; [68800592; 95391467]; [7019156; 94623435]; [50987663; 2926701]; [40655287; 93505420]; [67002605; 29063121]; [24924603; 44933370]; [60514633; 92532526]; [59714971; 31257004]; [17247250; 24142166]; [16889492; 6083959]; [57920901; 73230069]; [15914266; 23333950]; [32958025; 69508168]; [52928769; 75872812]; [41644525; 35142556]; [67472462; 38360261]; [92408534; 10632338]; [13882706; 62205796]; [46597495; 23692966]; [81453920; 46863183]; [24104421; 97478152]; [48213183; 6624931]; [99115379; 22439695]; [84438131; 94276110]; [16610225; 53268595]; [32824754; 33177123]; [10908361; 75661519]; [91496388; 1873136]; [58995339; 20295834]; [84498617; 77665761]; [29856994; 60217893]; [89270902; 41574779]; [58142811; 53755979]; [9531259; 59526606]; [97299256; 24914440]; [34131321; 73778300]; [25833584; 7401513]; [67064323; 81171276]; [82203355; 36401310]; [21601325; 88541251]; [59173842; 14787978]; [53887975; 3409080]; [1581765; 83923774]; [5975850; 22119699]; [28395524; 49427190]; [49845470; 33710537]; [28336895; 9518917]; [85770586; 4384342]; [48629082; 11240972]; [58928195; 64283396]; [67309672; 43913409]; [33761687; 1429098]; [40559979; 19090695]; [54588938; 20435350]; [13033009; 89557474]; [61494129; 90107122]; [67587018; 80790062]; [89564716; 96913177]; [59149087; 47058412]; [31855225; 4543015]; [81030400; 19223301]; [90690913; 58859284]; [65823345; 25819343]; [67048837; 53879653]; [64363250; 68022979]; [98381895; 24784163]; [19515576; 15526200]; [33296292; 38268925]; [55646360; 18485986]; [65431676; 34668544]; [51129632; 56679780]; [68828452; 36890205]; [59134165; 50786619]; [15515858; 31267195]; [26968576; 27092495]; [14330981; 99760775]; [58229584; 42478013]; [68713329; 17195658]; [17585970; 38509922]; [87102043; 58641951]; [30339178; 63488783]; [70699056; 73983151]; [511220; 9601569]; [83980227; 8507078]; [53317790; 54228138]; [62744324; 78360366]; [5571962; 47368560]; [92868224; 51776053]; [30654861; 52771431]; [70550491; 1975664]; [95403841; 46225110]; [14882681; 43897271]; [75934290; 78883505]; [83482163; 74309743]; [41708740; 42476236]; [94629121; 49440104]; [52631551; 13419952]; [48098069; 25335398]; [36638107; 628703]; [21261196; 26116705]; [59278358; 95861570]; [96921320; 13380907]; [52139392; 57457716]; [13985074; 58922588]; [24571358; 8935243]; [21442452; 161721]; [51672701; 29360294]; [12611773; 95996648]; [52334330; 79631007]; [68103312; 79654579]; [61499511; 8128976]; [81808486; 23976035]; [69218764; 66838878]; [56015551; 85475362]; [95479807; 53077136]; [17131293; 46054130]; [41606408; 98575510]; [52191759; 75344317]; [15945599; 99126514]; [48192674; 72017027]; [52473109; 54037206]; [51322263; 43913924]; [31981205; 5761579]; [13004884; 13745491]; [65607583; 90305208]; [43341614; 74709798]; [9325196; 47385685]; [73848450; 30981186]; [51360243; 36756024]; [33375272; 42688079]; [1024235; 439649]; [2560781; 72472832]; [56181299; 34956826]; [26390112; 20984401]; [82631985; 72840722]; [4231729; 98853500]; [38019047; 32839533]; [98580299; 9539642]; [41720824; 20196712]; [11962104; 15898561]; [59665965; 12970455]; [3692721; 80653028]; [37127923; 9323197]; [9507012; 12002624]; [60884972; 13766019]; [95504906; 65671422]; [80783642; 18472586]; [32168058; 42209193]; [66142756; 83533363]; [20827533; 43216562]; [53767561; 56875824]; [73399114; 69362554]; [64376786; 9647706]; [79773983; 53926426]; [82211934; 62843916]; [55043241; 78250543]; [45128539; 41624247]; [39645186; 22034590]; [59148868; 33652133]; [60899190; 98778064]; [11318161; 97044146]; [11866628; 49492105]; [35959567; 93883381]; [1733386; 14808161]; [57248571; 11181663]; [6026465; 2165340]; [84085877; 97002772]; [86646104; 55639025]; [88035639; 20388196]; [54458444; 63554323]; [72535915; 98221773]; [37784666; 25398179]; [8106938; 52781535]; [62046520; 7946262]; [40029070; 49905981]; [57702614; 74632178]; [38888868; 23985078]; [27433377; 15737403]; [8569034; 56192510]; [18635100; 53199493]; [23805814; 47115680]; [37234896; 38701024]; [73390632; 66959426]; [27155673; 31303762]; [44239662; 45089416]; [51216512; 62072126]; [95003446; 58312206]; [14197347; 98800713]; [30325197; 53354790]; [52267402; 50070209]; [63963656; 95828976]; [88871781; 39976345]; [54080747; 64961145]; [43114168; 32303993]; [43819389; 34671845]; [13243654; 89352822]; [35002462; 52910128]; [57099955; 127459]; [93231770; 94929040]; [99166267; 49775105]; [73045534; 7358691]; [93833050; 59117040]; [97471915; 14230595]; [72151431; 19044827]; [46639898; 66785109]; [71588715; 60275520]; [63580821; 23801167]; [1939545; 3370152]; [47393098; 74884807]; [74924132; 35712751]; [25022398; 15347866]; [32026838; 17633065]; [17979910; 26786921]; [497771; 5410776]; [36580003; 64519268]; [85868453; 2286333]; [61014550; 9568064]; [34492746; 38982191]; [35717446; 7356025]; [96002681; 28974852]; [27759456; 73324328]; [47950881; 33254129]; [12315907; 92970519]; [25868038; 8411399]; [44925162; 31860314]; [93737479; 45671232]; [24450512; 2141280]; [15872405; 93890584]; [58253613; 65764519]; [11147544; 11226672]; [82909267; 88259470]; [39165063; 84920152]; [42580715; 10799125]; [37264102; 2120795]; [59419568; 63401386]; [22834313; 82956207]; [70249732; 41251172]; [95607968; 19565033]; [89928928; 19152640]; [86513271; 89656939]; [33300169; 16677298]; [66985736; 93748847]; [88652215; 68807669]; [39276824; 27230316]; [68276299; 75666343]; [29508313; 3588204]; [89676947; 51654795]; [94575488; 98562873]; [10186422; 88026221]; [49388683; 14147131]; [81338602; 53271376]; [37170872; 64296191]; [10322552; 63053024]; [47330922; 19750502]; [17717409; 73143435]; [20665547; 99411413]; [35122832; 69240601]; [61693030; 37232269]; [10090966; 18765475]; [60510327; 7566788]; [820764; 32136197]; [86518562; 44115455]; [17427335; 88690866]; [81816758; 70169449]; [16543448; 19737480]; [78285293; 26740321]; [50292835; 34858009]; [57180953; 11380709]; [54658768; 24539297]; [57930233; 92541386]; [79446757; 7653942]; [94505479; 35551036]; [40726833; 10575396]; [91472396; 86285815]; [30713647; 45231687]; [67959974; 18747689]; [41798695; 50173704]; [16044601; 60478340]; [26820329; 64007584]; [47836018; 9477088]; [95851301; 84863708]; [90435662; 43526503]; [33996946; 22671988]; [44115049; 1946935]; [7975003; 72556068]; [62252502; 63972871]; [24071428; 15112576]; [68341367; 54274311]; [23978075; 24455549]; [55987652; 32925239]; [62056830; 13398299]; [85765786; 8803521]; [64021754; 64294200]; [28154467; 43392120]; [59451402; 71305632]; [71036621; 65198131]; [9373664; 81695606]; [26063902; 15338378]; [20956587; 37611282]; [56369792; 73338797]; [66704616; 42277251]; [1270904; 63206875]; [79302128; 32754297]; [71346488; 70814102]; [69964850; 46111659]; [31797806; 38619008]; [54255701; 30194384]; [8619806; 61816457]; [59826579; 80356382]; [40442393; 48560522]; [62793431; 36754513]; [25625430; 78300923]; [83578431; 34912726]; [27666194; 97963739]; [14729989; 70599017]; [49612417; 58622684]; [37785683; 92795629]; [78751001; 17636658]; [45362273; 43242853]; [79402434; 19568334]; [13159547; 91737318]; [76878810; 96841995]; [27973215; 84278268]; [15155510; 57344621]; [57251060; 33664732]; [28364862; 41922740]; [50332394; 84527475]; [69712092; 4531578]; [20222213; 95373113]; [31346814; 858234]; [29693624; 61675439]; [31104248; 9105783]; [12094660; 42823913]; [98161134; 85721142]; [40100257; 12615683]; [46535735; 95257895]; [28448490; 67784186]; [96581258; 71204339]; [81927539; 2464676]; [85897867; 81894105]; [50662091; 43321184]; [50363114; 73439486]; [27049760; 66036162]; [76963021; 15001653]; [89515811; 41692390]; [39374097; 1398284]; [2459039; 5380146]; [31105429; 64245582]; [64055584; 38697830]; [40032067; 22626653]; [3339865; 82476166]; [31282306; 247100]; [21438582; 26825936]; [20777805; 62148603]; [47111110; 19213098]; [11445576; 60721155]; [81153784; 21347735]; [9459953; 1862377]; [63632149; 66038637]; [85816042; 95353008]; [65601735; 78778067]; [89337036; 52948096]; [74718119; 22696961]; [23016812; 66661077]; [40047654; 86985369]; [87584556; 39740578]; [41023949; 8988465]; [40914435; 56583049]; [32840196; 43562139]; [26614796; 79133225]; [10844059; 41911978]; [89217652; 60091127]; [21804764; 3065107]; [54955029; 24797739]; [54134827; 21876526]; [30293661; 67468707]; [70421374; 35655519]; [36926101; 11001980]; [12729595; 78389297]; [80742238; 41622770]; [60675792; 95648039]; [96122465; 5909911]; [24330510; 12882343]; [7390309; 59422802]; [29885874; 69316649]; [45496054; 73117516]; [940480; 62358269]; [47714296; 5916262]; [20602738; 72279473]; [69516106; 76687199]; [50345170; 30373076]; [57406892; 56271448]; [15252380; 87125631]; [67055079; 45718615]; [14799488; 99574568]; [34764975; 51695983]; [1402105; 73703823]; [45977988; 95424461]; [46378172; 25721356]; [95093060; 54659730]; [48496928; 79776806]; [74995650; 43410261]; [2647292; 80353823]; [14854466; 35360349]; [99265303; 32607981]; [16138652; 16344438]; [29055699; 51529650]; [26461102; 31205183]; [22947699; 66435709]; [44291270; 21552146]; [41957884; 29837345]; [5943595; 28892095]; [32595972; 25039541]; [91759211; 21725525]; [87551012; 84645632]; [42130334; 73141181]; [2420364; 17210199]; [17903162; 71077957]; [58798459; 41026265]; [52484871; 59891658]; [93522655; 55506199]; [36570606; 43235408]; [52365843; 45443269]; [89708411; 21053314]; [16002578; 4849616]; [63086832; 84830860]; [1248072; 35416934]; [83061711; 81144149]; [13229480; 4851761]; [27181503; 72646980]; [82438869; 22870537]; [40813774; 23454629]; [97970558; 51233562]; [83457312; 9745255]; [76142392; 71714616]; [86990571; 93960155]; [98575041; 40721337]; [3464057; 36876222]; [9326; 90242183]; [67721656; 36111025]; [43373390; 54806541]; [84389717; 69203694]; [71477211; 12305628]; [32794041; 4816841]; [91055779; 45473692]; [15264304; 37515545]; [70632277; 85965106]; [76308794; 60833769]; [56166409; 49882706]; [92887615; 74413644]; [70666760; 50986845]; [98381176; 11744456]; [37754215; 52780702]; [13718236; 84057732]; [95180566; 30146549]; [20797812; 13334488]; [67961700; 12120430]; [9082585; 48193801]; [59985189; 35594279]; [19623123; 67938820]; [31986219; 36306853]; [45816335; 9554808]; [46795056; 59150471]; [57550362; 61566264]; [69001305; 74895363]; [50958801; 12794951]; [86015969; 69901272]; [59245897; 84640800]; [93883453; 80574112]; [29846740; 80843465]; [3433473; 57153048]; [92175160; 2846956]; [29201284; 15889438]; [29659494; 8578463]; [62049639; 47042474]; [88412434; 45532154]; [55058384; 49222587]; [31812855; 25465468]; [85330997; 39401598]; [3866449; 39127543]; [52286916; 29943691]; [6679131; 19802038]; [89650209; 42226178]; [79255669; 92363237]; [80414375; 36568085]; [89139344; 41516190]; [45030278; 46690455]; [21606575; 53717496]; [92000911; 76507294]; [44576379; 10088046]; [48795094; 2435816]; [51575590; 76493119]; [73191953; 58879742]; [84583565; 58309999]; [97299972; 24226458]; [27400690; 34422209]; [2134642; 38433510]; [33043120; 96340302]; [57667937; 81437773]; [71886214; 36159432]; [43583025; 70990513]; [23721025; 20677981]; [76636596; 88924723]; [8940668; 83699492]; [2297445; 33370667]; [37605692; 45483907]; [80848683; 27360849]; [60667374; 60020252]; [60742979; 98515509]; [34936115; 61672374]; [85807502; 81479550]; [78138979; 13375418]; [895216; 8668524]; [12478351; 77835380]; [37137038; 89392559]; [8619462; 11833723]; [58171783; 34044715]; [90372318; 28969862]; [6822108; 32067666]; [86686230; 53500939]; [66679562; 66088210]; [23221477; 15803411]; [79141478; 8804544]; [20627034; 44272023]; [23602915; 4337627]; [9526195; 21134261]; [78310236; 61720949]; [13567513; 59944537]; [76037823; 1679903]; [85226418; 50393632]; [68811301; 31670256]; [78985683; 5828585]; [29408685; 37332740]; [56590682; 66565537]; [69616529; 74037465]; [99712377; 30999461]; [56105423; 26189677]; [1076850; 30440449]; [26973580; 46533865]; [43228080; 31388951]; [83401077; 93151344]; [92579092; 30370447]; [24226539; 62591439]; [5817903; 20562384]; [66918853; 95176102]; [28369873; 40481132]; [48998412; 44349855]; [10182637; 10084597]; [47414386; 55540639]; [31076042; 20376723]; [90832158; 46755543]; [67564878; 63852976]; [84936307; 33016350]; [80365931; 49586626]; [66040008; 55481592]; [42428240; 67108552]; [59595653; 30724211]; [21935418; 18297652]; [71237120; 49049964]; [25915750; 64399261]; [91496168; 42454415]; [85072047; 38874365]; [72572176; 64786753]; [36838939; 97590243]; [97965698; 34973537]; [86330266; 37054580]; [58003273; 82680369]; [82534210; 44844573]; [12759223; 67147046]; [33153251; 97899180]; [74645543; 87286132]; [90479532; 61723145]; [43572135; 32447720]; [84007959; 83744220]; [76843052; 17413179]; [89844678; 39228242]; [54638871; 55058514]; [92486196; 5230329]; [15100011; 91765539]; [74188001; 21237093]; [72901744; 69469006]; [40386635; 44244583]; [90700047; 21000984]; [22957275; 67739716]; [11924275; 19068351]; [46692885; 9624531]; [32684758; 70491013]; [49708361; 64335161]; [90790024; 75174734]; [60133758; 16300708]; [18520743; 89388803]; [14128825; 44293692]; [22500698; 65168581]; [64363543; 1432026]; [72199652; 8238747]; [53189616; 33684356]; [50330747; 8058228]; [50525807; 72669058]; [54779026; 3296151]; [6733329; 92095397]; [64147691; 42141504]; [10077956; 31949458]; [93407030; 46352637]; [30209657; 12474456]; [84616150; 18963565]; [42944537; 30776231]; [49670917; 35273570]; [57271522; 47361033]; [85698196; 31702696]; [98295903; 98462284]; [41596994; 27830071]; [86305880; 1394098]; [92394897; 40955704]; [63955408; 1427591]; [39089519; 44994749]; [5674488; 23747901]; [38230671; 76237326]; [66731338; 49818148]; [7973033; 62315531]; [920830; 58700498]; [56894797; 44862064]; [30001345; 37233396]; [54957323; 66264368]; [14977913; 69478192]; [29298038; 33956555]; [40345999; 62737473]; [90971215; 34602806]; [41757635; 6867273]; [31696363; 59019032]; [1365376; 93590339]; [31420578; 60850516]; [5590188; 22538495]; [88986765; 86151632]; [77140869; 91604270]; [21220949; 19252190]; [48066631; 36111740]; [96727489; 36596636]; [3435283; 57079799]; [47989064; 26821349]; [38342003; 88663181]; [37951380; 84509343]; [2281815; 9387913]; [48927856; 41225925]; [82837070; 32649666]; [57743611; 5192013]; [10473192; 71454631]; [80510861; 28663977]; [80096891; 11376580]; [79505885; 84620721]; [77151879; 93334207]; [28227514; 89864474]; [67659286; 10257971]; [37925684; 45280343]; [97196944; 54263588]; [45339812; 36898094]; [80845652; 56906862]; [76077737; 78053084]; [64310825; 58247396]; [18175244; 29500803]; [34432891; 23413592]; [49203069; 85629326]; [10121414; 54796350]; [20898228; 30076902]; [6744619; 36069376]; [29084954; 81690177]; [12189383; 59489132]; [5760250; 24507611]; [78774226; 1974755]; [4545761; 31487201]; [1478021; 17558336]; [46722927; 55794662]; [20361703; 37229526]; [70278224; 16119885]; [78723437; 67633114]; [6548397; 84872532]; [42325867; 18130187]; [81246010; 33289106]; [47643857; 99613509]; [34054639; 17345072]; [85359067; 28295170]; [26586995; 31665054]; [86628216; 18558203]; [62273064; 77840405]; [71970212; 23102039]; [51466462; 58727453]; [68602333; 35153249]; [70396674; 14752613]; [37985039; 40333410]; [33107052; 42681688]; [42855064; 26600244]; [21142465; 26904972]; [92102861; 69597829]; [1726704; 20231364]; [44805408; 63489584]; [96155337; 3077061]; [33650365; 26470603]; [67309572; 68215256]; [64385623; 5468580]; [40882732; 85424166]; [46114043; 11409674]; [71220617; 98218094]; [97283527; 27949667]; [93647842; 86073662]; [87616503; 96087940]; [4761601; 71845928]; [77496280; 46533852]; [79542602; 93265481]; [41063771; 63295131]; [53239628; 62356995]; [26185865; 75385819]; [62204853; 67065946]; [34858650; 84883673]; [24803164; 11540149]; [73047311; 38387284]; [22207315; 62364711]; [85668138; 66622478]; [54630468; 19046041]; [128536; 27735554]; [11189700; 9348352]; [90286092; 36226028]; [85432220; 74912489]; [99198787; 2129059]; [9616004; 66738394]; [62288218; 72575026]; [17820367; 1975466]; [60005189; 74437450]; [36163062; 55910252]; [74209448; 8204929]; [85809462; 19413686]; [68496643; 27084027]; [41897799; 38395198]; [53322767; 58761883]; [37041484; 19331021]; [95402304; 33084972]; [68935409; 17623994]; [44250710; 47684533]; [42790821; 80933105]; [53707566; 88765510]; [65340553; 60292592]; [50020752; 5087886]; [4452920; 65144466]; [10130141; 17730394]; [19594033; 97656590]; [86686860; 67344514]; [91555330; 67573740]; [49942905; 11467282]; [61210208; 92433287]; [38427596; 28969029]; [55475418; 24442392]; [88430628; 98678003]; [13850202; 42076922]; [53983723; 8185868]; [45175071; 91991157]; [35241241; 81028437]; [92835994; 57167457]; [91218395; 40540372]; [26630375; 94542007]; [34507749; 82156792]; [87998828; 87497888]; [41377150; 19269738]; [80988712; 28536586]; [87202136; 1726156]; [12745488; 98522277]; [9492851; 92362205]; [21823897; 97002901]; [74918798; 3712732]; [37725090; 67504075]; [24421027; 67682108]; [54513162; 75579304]; [18325645; 64491859]; [34764424; 54146769]; [85514252; 6558276]; [92738994; 7764485]; [48047425; 79092525]; [18639980; 8455563]; [84124054; 7898114]; [13991049; 19461452]; [93635505; 72790378]; [50568321; 16119033]; [96401459; 16447418]; [85878966; 16153177]; [62964664; 66999440]; [86344409; 62711733]; [20694558; 83192606]; [43055469; 48187177]; [13748831; 35739421]; [1710556; 93362392]; [26544892; 41677478]; [11691034; 67751346]; [19276079; 29395221]; [73537855; 64092221]; [68944966; 85022250]; [75918584; 33582478]; [56972662; 19814953]; [95221934; 20751764]; [50897194; 39496782]; [20734570; 97587353]; [80023936; 17286474]; [2278872; 19492350]; [46775541; 74604220]; [52549394; 74385949]; [66229921; 63064064]; [62898582; 25533319]; [52390993; 43934446]; [79271823; 28055651]; [43101116; 90408704]; [81277978; 38281900]; [97302106; 71814290]; [47746296; 32389372]; [86831075; 4638015]; [94985101; 70593668]; [61796736; 43054723]; [22898238; 22439787]; [25600152; 27545316]; [98436880; 10714304]; [31785423; 20411268]; [7794228; 58587417]; [21883232; 53887530]; [84481139; 30020482]; [31421483; 99903300]; [5267424; 37794404]; [53558486; 13177236]; [76435550; 48278506]; [45040747; 9189973]; [18356286; 72640378]; [60232178; 27895874]; [8007469; 84681041]; [94851238; 45068036]; [51128053; 36947576]; [28265703; 52973163]; [73795319; 29342135]; [15969011; 2872300]; [50922876; 88242646]; [45137989; 12876063]; [26012499; 71347741]; [92624984; 8494249]; [81748892; 77152210]; [73014274; 8373852]; [51810527; 41598510]; [75542891; 91424733]; [62041493; 73983673]; [79560047; 10102580]; [35817140; 35469121]; [30574511; 43516748]; [90801030; 63685955]; [83846000; 34713498]; [52478379; 2817630]; [6157758; 2200078]; [27129081; 33854458]; [36398284; 14599532]; [74595343; 39967591]; [71093688; 47209718]; [64143779; 14802080]; [39844415; 69690870]; [48788030; 71182942]; [36153830; 1430604]; [47812459; 7249736]; [53177767; 52859866]; [39286115; 41645809]; [65697276; 49459194]; [78473142; 80884938]; [80030921; 65236123]; [93077820; 97644058]; [69835434; 1938560]; [80124229; 92924917]; [76842215; 79234806]; [11163439; 68249927]; [73423640; 91992947]; [99806125; 90787974]; [89775693; 32272446]; [70700399; 58426258]; [68310687; 49747718]; [47894411; 39332888]; [5012719; 6286772]; [35091890; 99474072]; [9808411; 42543488]; [72100836; 75374162]; [34886345; 23784285]; [83327194; 71757285]; [29147905; 17464723]; [92186499; 71758234]; [53431234; 32122277]; [91346174; 86273227]; [42055731; 53146359]; [19004066; 66180310]; [57984004; 46093001]; [26389206; 68039104]; [53093926; 58650480]; [8023905; 42560123]; [79708625; 48083582]; [32694132; 10852458]; [66165334; 45302041]; [18955006; 86158495]; [84667402; 89059990]; [34363969; 15412078]; [31634221; 65169595]; [84992588; 93114847]; [77405923; 63775194]; [60475132; 95703955]; [66003307; 9319885]; [37480298; 41047502]; [34651866; 73567183]; [9720625; 41597572]; [35673943; 40819857]; [2929508; 72251416]; [95732768; 50860650]; [57005256; 34274424]; [40112571; 23299764]; [5927227; 83953375]; [39605681; 30982217]; [46086530; 39283901]; [76060759; 53805431]; [61706460; 17211552]; [52744580; 26948628]; [25318136; 51114031]; [38006979; 63903236]; [42418063; 24463465]; [95690470; 14108908]; [53447616; 79507604]; [27412423; 1231796]; [6133662; 89317212]; [37284847; 26120808]; [10553455; 44126731]; [6519934; 92253043]; [9626683; 99203314]; [44795782; 24371513]; [92047192; 84308636]; [33934951; 78142838]; [71533602; 62759755]; [63890550; 26133009]; [1363505; 12024810]; [21894371; 19426111]; [56338788; 80747772]; [66669194; 13115238]; [23806963; 78513785]; [88106580; 54855172]; [22020904; 62184663]; [27082392; 87054222]; [70197450; 52281616]; [51086541; 26355885]; [90969232; 88189622]; [73954690; 71557481]; [98013949; 27212253]; [91093064; 14275221]; [78725821; 81803563]; [40228389; 98139249]; [10028923; 20372658]; [8192119; 76736058]; [34559745; 67970243]; [34166718; 1918226]; [19802943; 34603578]; [26249819; 16229111]; [12773284; 99165304]; [77402173; 78064524]; [6188584; 14701505]; [81589429; 69916518]; [43665778; 94814375]; [42900100; 77650370]; [54652745; 16979535]; [54576338; 6179726]; [84343006; 58856763]; [64918765; 56541270]; [30051862; 19370377]; [88856606; 64499506]; [314860; 80687211]; [45538730; 83358953]; [31123735; 28876976]; [95066466; 44470357]; [45029483; 15656388]; [60046935; 48423674]; [23450588; 97359433]; [93477441; 48715172]; [42618088; 21651959]; [11410908; 37411209]; [60056350; 54302227]; [62853216; 51787594]; [37156913; 68111343]; [97681406; 11406521]; [44688119; 95108669]; [1935106; 86768871]; [93133919; 77515945]; [83006018; 61817362]; [68124164; 56215151]; [9582002; 59042511]; [33847884; 31548910]; [49225059; 28960275]; [34063581; 21912858]; [25373646; 64148705]; [6682492; 55272108]; [58946095; 29964490]; [44598184; 11418183]; [13849446; 29774409]; [83435993; 23771772]; [21504333; 85621919]; [22293245; 93374177]; [3906585; 95758139]; [62471034; 26739623]; [78492789; 89066619]; [29554830; 12225495]; [8423478; 25355325]; [28800210; 25294832]; [10765862; 71734747]; [14560629; 74917335]; [12919535; 39667526]; [77878208; 29429121]; [89361180; 40879438]; [40851742; 8958184]; [20926081; 39903412]; [78802888; 65465419]; [60560133; 25558218]; [59901116; 7696431]; [17767932; 9704182]; [20539251; 84604861]; [66690847; 1155497]; [67272782; 18242029]; [99000564; 34295688]; [54597605; 93827005]; [78476986; 66026937]; [37484814; 44686533]; [41575100; 61305151]; [48127252; 34514636]; [34934194; 80095847]; [8700392; 14585774]; [39620429; 62811439]; [92726218; 98587447]; [4891284; 20648874]; [73318098; 55263442]; [45321923; 84812317]; [24367967; 24970803]; [49847952; 34060115]; [91872315; 57397208]; [57502946; 33069092]; [45155825; 58295663]; [10904686; 4785773]; [45384418; 99916539]; [70846502; 28579336]; [17794526; 78542727]; [36373507; 12759666]; [29259305; 36532146]; [36968018; 35910424]; [90785752; 16868371]; [61903194; 90297275]; [55066228; 86021535]; [4832487; 74927444]; [4056285; 90900376]; [10693282; 26992865]; [11457872; 41233479]; [77010180; 62030987]; [9791325; 43001495]; [45095381; 760475]; [32993922; 80967831]; [58847341; 43197229]; [205985; 43214239]; [25931523; 19232404]; [21467765; 14458263]; [11278059; 44916069]; [99262286; 66412561]; [97008500; 75571332]; [32666692; 77204267]; [99153691; 35480017]; [55684996; 21333513]; [86873710; 2567348]; [99468294; 77698833]; [46699122; 88483497]; [16272312; 86688257]; [66373548; 20103213]; [83427682; 25846799]; [52318480; 86427106]; [22125204; 48208604]; [18422018; 36916349]; [52205514; 90318876]; [3997627; 12298412]; [74755972; 13927542]; [16241112; 63474186]; [47550725; 13766153]; [53625781; 43481967]; [46040267; 8775134]; [45751771; 2580925]; [11319166; 16181856]; [8996243; 13105079]; [935768; 90279339]; [85137104; 54157962]; [94897340; 45034420]; [85158798; 58510122]; [95731028; 61257281]; [18698876; 33691428]; [29634842; 88343404]; [28717647; 40442491]; [59315948; 74647834]; [91581907; 51961135]; [39569837; 20042530]; [29419912; 1474110]; [33512792; 87963908]; [46114275; 82019789]; [72398357; 85295535]; [49257980; 79526508]; [92737707; 70494301]; [47570832; 29152683]; [95138786; 78655970]; [88229115; 86994678]; [26542836; 56405588]; [81651226; 23166079]; [95394379; 96284528]; [56973105; 53752139]; [23580645; 9982013]; [62824202; 55471883]; [2139032; 25204980]; [72838517; 78641990]; [18734170; 96946412]; [27796977; 13795504]; [72925404; 57624470]; [96271691; 56706781]; [38423477; 21381528]; [24097317; 88691539]; [54681270; 39872701]; [83128437; 81167603]; [89511943; 5112964]; [20435377; 38239225]; [2364418; 51612425]; [17175482; 66895319]; [32610862; 26608453]; [57391829; 70272670]; [6598947; 55550849]; [56529179; 82949798]; [3142523; 22730011]; [12811466; 66455132]; [29521234; 25999424]; [90347030; 67821172]; [45114907; 38104204]; [63690681; 81446605]; [44578063; 38521057]; [34508049; 55444687]; [63964063; 75733019]; [83332002; 74427951]; [8142247; 71763059]; [70867421; 3929026]; [50058686; 53166434]; [59167453; 46561419]; [19680174; 7660138]; [58683012; 98576722]; [38365897; 45427314]; [75157268; 24556256]; [2492661; 3635769]; [9459486; 93630144]; [8260201; 41719966]; [15471555; 13566371]; [33701789; 58424716]; [1044825; 33226813]; [91287426; 656747]; [48954641; 9154953]; [75883046; 39357527]; [42306073; 35457677]; [22431267; 65196008]; [50149756; 66273499]; [65028295; 28430339]; [67755556; 78988625]; [18279032; 88829440]; [84617436; 6262867]; [94006405; 10596448]; [21162808; 53486868]; [76434978; 68431292]; [33749908; 9670847]; [73031801; 76827539]; [60539876; 42060717]; [68030340; 18720935]; [97736961; 8993648]; [26794589; 56514109]; [75745949; 59851359]; [93992903; 44683147]; [57293070; 60888586]; [91187914; 1942296]; [29399215; 97321781]; [95902368; 63893950]; [69501506; 10390534]; [25962910; 36955541]; [10582620; 84650680]; [33699456; 97749646]; [30740153; 55154158]; [97885513; 18943709]; [98615088; 89894359]; [80799566; 72177371]; [14079294; 36951929]; [17176707; 79801332]; [94306059; 27031516]; [41714731; 52241830]; [76835579; 41031692]; [79963273; 47993255]; [68715055; 41667347]; [63757772; 92613119]; [44813806; 20700595]; [74323447; 53905005]; [62690351; 78418619]; [67884041; 49529106]; [90734771; 50353624]; [78731469; 85207531]; [68804049; 46205435]; [83519597; 78092226]; [53138753; 70074093]; [4761226; 15081725]; [20492034; 2690653]; [79434076; 63250616]; [33633298; 34058533]; [69870227; 88042813]; [87076113; 62640649]; [65798168; 63433224]; [66251313; 44215822]; [42939097; 17651904]; [6818842; 89427243]; [81149950; 66469962]; [48158847; 29610499]; [2841588; 10198555]; [20332414; 69797594]; [82638441; 23134599]; [38921698; 50548992]; [89593967; 39693735]; [46942368; 15480073]; [34779112; 30309147]; [72834866; 85446638]; [7545877; 77699970]; [67580180; 332074]; [72514435; 77041032]; [77734618; 16328447]; [10991911; 80495167]; [83239407; 84198068]; [66204324; 5991238]; [58231181; 70069569]; [67596541; 92737045]; [76703335; 72461558]; [67148236; 45451758]; [16311213; 59242369]; [42258906; 38941858]; [35602221; 13757422]; [83217598; 75262782]; [15554916; 42422478]; [34359553; 33972136]; [74769475; 64147107]; [98387255; 79364889]; [44818104; 22358075]; [44569578; 52920965]; [43413664; 19384057]; [26892673; 78791737]; [99791796; 8592455]; [91719693; 73079920]; [56895461; 33670172]; [7586862; 80228912]; [62890290; 40375629]; [77630498; 64320593]; [92220470; 51123004]; [42454465; 45359112]; [79169502; 32798207]; [95678484; 93907026]; [20876144; 39895858]; [37174062; 70977994]; [37661969; 34508993]; [43995511; 14119258]; [88996353; 71001142]; [50782414; 9793042]; [73146743; 30407007]; [17457167; 50235313]; [48711613; 676567]; [78444767; 99291392]; [45658019; 7123931]; [51910878; 36451020]; [78319229; 60301362]; [63824925; 90130589]; [5097406; 77592990]; [25958597; 76229509]; [93536841; 12860881]; [90551109; 51369041]; [95167243; 88323552]; [70573264; 33649984]; [3825930; 76165336]; [44737607; 64024880]; [89261472; 8836617]; [6988705; 19885127]; [4763113; 73514052]; [89247597; 54482672]; [67918962; 75355555]; [14377652; 46443371]; [81851017; 6714394]; [60306713; 26903776]; [44909485; 22468278]; [83572604; 10512178]; [40626589; 58261495]; [37166078; 56414178]; [25014751; 95085191]; [39298683; 85697276]; [1705710; 4462085]; [85010991; 89991356]; [51171079; 8850173]; [84195094; 93405169]; [18055592; 42264398]; [51001517; 52076336]; [81379690; 24410164]; [21340717; 27758483]; [60228424; 58955441]; [72434260; 90534710]; [1435592; 68508563]; [45138300; 77080692]; [80020214; 95951439]; [44357951; 5567731]; [65124368; 87716432]; [77822202; 55739700]; [73953229; 9207558]; [29211371; 62498524]; [5991811; 81800932]; [64702216; 19435668]; [14512503; 74148041]; [5903546; 82949603]; [26354246; 86430229]; [26697377; 39243772]; [78779614; 3472222]; [14935618; 59128457]; [3462909; 511747]; [75442083; 58738275]; [44972755; 37829081]; [16920854; 17995349]; [28716322; 58796764]; [65345132; 41142856]; [58299477; 61541993]; [33445024; 64243046]; [95926060; 82353195]; [66431185; 51303061]; [79422929; 26360832]; [45391846; 17587792]; [84758202; 14171903]; [39120603; 71082855]; [52326003; 69005737]; [93080626; 77727962]; [97828537; 50097749]; [82897192; 97841151]; [75839080; 55145372]; [30548962; 56560110]; [46571082; 45922406]; [96488025; 34583741]; [4915947; 74588224]; [2060964; 92047465]; [21009453; 66393807]; [73053318; 45894663]; [69645221; 50941131]; [45017138; 96439630]; [56865865; 75370248]; [93243251; 4218929]; [65816938; 26961420]; [46185221; 9762350]; [90543114; 40574814]; [56274119; 6486864]; [62975669; 85799179]; [3207460; 64314008]; [63552250; 57523847]; [59804571; 38243651]; [5665714; 67843448]; [96684936; 97209124]; [49587331; 63584018]; [89578644; 40042051]; [11405820; 7753631]; [63643485; 61244583]; [42579169; 63645962]; [33386959; 69037072]; [26036577; 33301337]; [26936749; 16036440]; [99963486; 2678314]; [57631194; 83542527]; [84135830; 40951652]; [50314863; 57819429]; [44815524; 52320269]; [79543959; 56306466]; [17159351; 11932409]; [35193570; 53241918]; [58929389; 55325349]; [62269154; 10221168]; [73779717; 63765800]; [8283010; 978307]; [76419552; 41940066]; [56319575; 26548376]; [51158917; 9791139]; [6951074; 65504287]; [35935355; 60501829]; [85664161; 39106662]; [5502641; 62906844]; [65597135; 45901512]; [41022067; 22982974]; [21894135; 19055159]; [87555273; 88764730]; [73458414; 57245816]; [75809313; 45582728]; [20295727; 20817444]; [19895359; 51094754]; [45257345; 75275523]; [70082477; 84804450]; [84304493; 84786276]; [99769628; 74945861]; [92492164; 40850418]; [75447863; 31510935]; [4183711; 80819768]; [86024018; 34145573]; [41168243; 99699310]; [64665228; 18606707]; [75110942; 54932610]; [8134316; 40506385]; [33820530; 55182517]; [9041044; 1900158]; [17401798; 37043642]; [65237871; 18498458]; [77283526; 73158181]; [45834075; 75306225]; [22899019; 48895284]; [31749180; 79620597]; [89536996; 5970709]; [25930823; 81618015]; [87353535; 42025863]; [61487964; 43061596]; [28456553; 85043883]; [8746802; 24551204]; [79293394; 74908860]; [43510805; 96110145]; [70109654; 3071681]; [14217948; 13233850]; [8248965; 3617995]; [13114480; 92067931]; [49528177; 93203088]; [28621845; 66164812]; [24005815; 87425127]; [70351855; 7534759]; [14054957; 9998546]; [36141404; 42457329]; [65363211; 87709158]; [52694874; 75198987]; [70721523; 29015811]; [27438777; 31857538]; [62625565; 88724913]; [86958180; 37152232]; [44027559; 67052233]; [17652484; 45833868]; [22931903; 3222738]; [62042375; 5104151]; [47513476; 92636592]; [16119888; 71612466]; [81529968; 10495968]; [81126474; 22597131]; [39750306; 13256618]; [29715009; 36087561]; [99041024; 12858409]; [56270801; 72953492]; [88928442; 19344651]; [5306318; 98219776]; [96240483; 65758506]; [91231685; 96043878]; [9893997; 78277849]; [2168396; 24904152]; [40008128; 44805920]; [84369072; 58834353]; [99450306; 41309490]; [9386277; 67898017]; [21674418; 65983291]; [37055204; 1661945]; [38273662; 81173961]; [47662237; 29230398]; [73685643; 92211522]; [67801779; 35973854]; [31807320; 61381619]; [80328461; 38633241]; [84894024; 11499623]; [56605004; 25504751]; [27962502; 62165153]; [68288817; 62048868]; [95493630; 71828420]; [47730902; 38800234]; [12155218; 22830726]; [71653205; 72638116]; [67960424; 6911944]; [99365335; 23924296]; [22653352; 99084298]; [65520864; 79051940]; [17738589; 82122619]; [3545254; 14005535]; [12526939; 6729669]; [22068017; 45824164]; [76640917; 156473]; [97652704; 13600182]; [90728200; 12996443]; [20308356; 83702410]; [55956223; 24406474]; [48873742; 85844690]; [23300635; 51190669]; [86361815; 68695234]; [16927052; 9713390]; [14310721; 89161815]; [86778891; 29153093]; [86332635; 72602261]; [67545954; 86289797]; [48464471; 86082255]; [44573527; 34730150]; [70932270; 14415891]; [83977175; 76077438]; [53219489; 23386282]; [95061466; 95360696]; [96282612; 17268513]; [17691145; 63654920]; [26595064; 98175284]; [45592427; 16350752]; [86813875; 53575479]; [10994167; 71565141]; [10137847; 57679912]; [31240355; 13432907]; [16446156; 92227336]; [8853765; 57457687]; [11023401; 14466357]; [45276778; 23215992]; [33554506; 11250312]; [48479646; 80896281]; [25648047; 95167038]; [44227245; 3465589]; [16416369; 66570706]; [20709785; 27573471]; [83021348; 86064486]; [75695753; 99742044]; [59684639; 31865112]; [14346888; 15896293]; [30004123; 56216736]; [46245758; 11298135]; [71914094; 92497668]; [15535319; 99808799]; [62338713; 87613622]; [66404816; 6236775]; [37163612; 71563711]; [37161945; 13049019]; [95836448; 99738721]; [44053297; 92594018]; [71222136; 79843020]; [46723036; 50162077]; [42428281; 71746509]; [61807836; 64133466]; [97067037; 9262720]; [8817371; 56529385]; [97770938; 49991640]; [97589079; 97846301]; [18687168; 28475464]; [53576458; 56343259]; [26479213; 40702318]; [53660671; 52988699]; [95937864; 15825245]; [8873295; 90664629]; [46191713; 62633434]; [77553950; 97770193]; [81445412; 73245846]; [38986854; 84995071]; [55566241; 40531310]; [60884008; 41206558]; [1349034; 51887469]; [9116831; 66291816]; [50307199; 11724122]; [91116136; 69354650]; [79196621; 81920297]; [22535424; 60536894]; [73866182; 37890985]; [17415663; 69828711]; [70241870; 2328139]; [49521790; 67124702]; [77002128; 43106284]; [5344892; 62818094]; [43068391; 59224899]; [30891756; 49574560]; [65021657; 17900757]; [65234413; 44632715]; [73249614; 81583247]; [5534416; 83729572]; [55845784; 96503303]; [66901098; 25088753]; [65675631; 96010525]; [70108868; 23916298]; [21974522; 23525909]; [22011740; 73822790]; [47855427; 22913070]; [18096467; 86862405]; [56949219; 4882892]; [87954219; 99277018]; [25416842; 69106961]; [18816679; 17893301]; [40935670; 71407230]; [88604594; 32891641]; [46901141; 92037584]; [57214510; 50701222]; [95961805; 95977733]; [80947454; 10586569]; [97101350; 13186275]; [32897773; 86871111]; [26469234; 4107519]; [75458876; 30661265]; [70455392; 59926454]; [44011488; 28178088]; [45934843; 16580572]; [3612404; 59442151]; [62564428; 65465275]; [30250523; 49130995]; [20905078; 41459864]; [2061480; 25638320]; [47987039; 34718803]; [59082021; 34461197]; [63710061; 37841969]; [24900899; 57859421]; [31753123; 65835788]; [76047888; 45637198]; [1447511; 60441230]; [85465845; 77943895]; [57751535; 30291507]; [16542326; 73608183]; [42219873; 54134781]; [26889187; 63584072]; [48603358; 81161803]; [42897507; 6483805]; [61097045; 93690700]; [90919939; 62020910]; [50995763; 71576787]; [13553592; 28886520]; [39686840; 36894733]; [81353082; 33695574]; [66524620; 969674]; [60638127; 37678649]; [71338976; 35361597]; [73348425; 79280315]; [36674442; 56904391]; [46475142; 25591290]; [99772533; 83538715]; [79781796; 27096110]; [13313320; 21207257]; [9004378; 17068307]; [44867937; 39988094]; [90639793; 2551036]; [61186940; 29835734]; [51140684; 64216773]; [3272971; 82456664]; [18097605; 1061000]; [24518625; 89076216]; [12431368; 31549149]; [59705649; 81887787]; [51502342; 6893462]; [6012535; 56382787]; [15523546; 16081505]; [16320009; 76280318]; [17205740; 41719938]; [74669232; 59016720]; [86768566; 84406405]; [86347047; 68124366]; [86210447; 77444492]; [63126354; 51055515]; [42112392; 96325410]; [11343699; 84522204]; [97841253; 57158742]; [24643085; 34345309]; [18881033; 68674599]; [88936913; 13727331]; [14841761; 72061342]; [32513371; 15356433]; [24940253; 29508916]; [86022825; 31329117]; [55970193; 93507303]; [93511934; 91442911]; [45443990; 97678744]; [77624251; 93672357]; [5376772; 9240314]; [70129907; 6691698]; [94438471; 68450026]; [19336183; 38083555]; [96177134; 33929755]; [50070215; 63580504]; [23589060; 37271193]; [34223217; 22130963]; [40826671; 75680994]; [41635849; 57058869]; [50922686; 97957289]; [74178805; 75558296]; [27693397; 83941239]; [1155654; 47955284]; [22666729; 9762679]; [59984393; 4161002]; [89834556; 65052705]; [2504033; 50674983]; [5032937; 6321386]; [2339841; 54506141]; [17938338; 60180667]; [4984409; 45603538]; [8383497; 15043635]; [83184744; 72813472]; [73344256; 20881254]; [61201880; 29057684]; [41718540; 15056824]; [56472663; 17888640]; [5406333; 87175989]; [15392562; 89408502]; [33433237; 34972014]; [22518430; 82072960]; [51940050; 52551244]; [64532950; 25103468]; [42582588; 45362212]; [79117619; 89330932]; [35374374; 72108888]; [61835567; 75422843]; [38173903; 11860731]; [74256188; 40839424]; [40447564; 98293931]; [27932883; 74673172]; [78837366; 458046]; [59161016; 92198166]; [38171414; 13553501]; [93371912; 37021636]; [5027199; 30764482]; [93735611; 20441560]; [56674907; 2752773]; [98683512; 57561286]; [73972861; 80672866]; [63950355; 49242883]; [56867491; 9395370]; [54453012; 62500511]; [23670770; 24303262]; [56931151; 32787776]; [73795160; 5368723]; [78121983; 50937434]; [51832708; 65175924]; [54244793; 47374212]; [14097001; 25727477]; [19002779; 31018928]; [25696513; 97911780]; [25995731; 8565416]; [27560841; 53843819]; [93734409; 51616922]; [6620858; 37784966]; [25886831; 69389582]; [31859375; 61956759]; [16680360; 85530074]; [99397057; 40273344]; [48677173; 47590426]; [7744743; 50161027]; [62444468; 96827910]; [26071669; 10826479]; [84968621; 27854575]; [16343629; 49720182]; [23610221; 19659923]; [77594463; 18896124]; [2243914; 34904218]; [15585279; 44329027]; [38248909; 74038185]; [14949153; 52498793]; [46406222; 17108506]; [61626852; 39231562]; [54450869; 75242123]; [9143201; 17652611]; [50869290; 13089758]; [75397471; 45682668]; [49056709; 84804650]; [40383131; 34928265]; [33499960; 8830975]; [11007631; 37423405]; [58709673; 35074123]; [35620241; 23731533]; [66558338; 959815]; [61936761; 17403017]; [55919439; 75129267]; [56642079; 8342944]; [1088658; 85814969]; [18964250; 38409164]; [2910770; 73655257]; [72589629; 92697543]; [22329776; 46580950]; [65553540; 60148627]; [86630936; 2605547]; [70852924; 98280485]; [48297495; 9384805]; [15819507; 99264642]; [65613229; 70226353]; [42165923; 97293834]; [13566695; 24145334]; [63467145; 58531527]; [38543042; 96727209]; [87932345; 28559193]; [27868379; 43225645]; [32157338; 40772474]; [72602891; 40428088]; [88797038; 10818933]; [11428448; 81868789]; [51143359; 92917520]; [38457341; 5214946]; [70402998; 97142991]; [65763542; 72292355]; [90789008; 92780436]; [1303604; 72755321]; [22430325; 76052409]; [7787771; 43911604]; [9332053; 58030215]; [5127622; 36818899]; [7538092; 56796076]; [69364720; 76141447]; [14582342; 77022179]; [15476742; 43418273]; [30558272; 39827186]; [62819824; 32706678]; [43057181; 51533991]; [7855902; 74916740]; [4682931; 49080700]; [55953010; 89467942]; [54432601; 85641840]; [34517247; 48350782]; [96347929; 88890402]; [15105801; 84727594]; [21386087; 13843228]; [87712129; 98958807]; [42765305; 54256652]; [26901212; 62631337]; [52576059; 27218042]; [71968337; 51914997]; [97912425; 58675362]; [46053813; 22435446]; [34561349; 90197678]; [49574194; 48906576]; [8140101; 68316053]; [88247764; 98727013]; [98155771; 74965919]; [98018980; 1003545]; [52021764; 61115828]; [30700779; 83670083]; [55128866; 30427719]; [2642100; 61526065]; [44542717; 24337676]; [6873856; 86782909]; [79886026; 51562723]; [5817535; 42831921]; [68392503; 96227799]; [86765444; 55601677]; [36965654; 26065936]; [37573897; 54236903]; [11341431; 24819508]; [80330032; 90669731]; [64643686; 76059003]; [29932969; 58936733]; [64772110; 67675044]; [25855173; 7039470]; [57099285; 13147420]; [40158405; 39701019]; [61221765; 86520988]; [4291336; 34404799]; [18238309; 8537699]; [96555542; 55915276]; [55753743; 30745803]; [67026657; 28044839]; [25806806; 5385704]; [41325400; 6213165]; [76872360; 49073540]; [54125505; 40987620]; [29196710; 13255190]; [13022726; 96038331]; [85342516; 81618814]; [1318452; 86609123]; [18500327; 14099824]; [12139569; 63451130]; [58268593; 15975681]; [63233937; 19054950]; [81162859; 8036605]; [46164896; 85891943]; [49348699; 13332560]; [55489141; 37683771]; [48018262; 84688568]; [97802800; 49670248]; [62851914; 47067543]; [95726278; 75484868]; [68629080; 48766346]; [26490211; 29841815]; [36833711; 90835432]; [43204183; 64444120]; [92398000; 20269998]; [45478979; 5518917]; [59493581; 90717194]; [66352036; 52482717]; [6184414; 76439607]; [96484561; 23833584]; [39205886; 75786333]; [88716722; 4010946]; [59572949; 86254790]; [74769662; 14126652]; [77855682; 32984048]; [70620505; 55734905]; [61929301; 93881932]; [59482954; 37312567]; [45887513; 97233460]; [46597346; 82114579]; [81879798; 86325796]; [48059054; 89698637]; [19974334; 66927148]; [55562463; 2246168]; [45733446; 66289163]; [41910933; 96723890]; [22650523; 59746334]; [69908787; 88711193]; [8326550; 34963782]; [61839468; 27671337]; [76320400; 35260970]; [28025013; 9609230]; [38404364; 98749333]; [66756872; 26932122]; [92077924; 735737]; [12428716; 215630]; [11822786; 53024689]; [86694647; 1303682]; [46647422; 20437091]; [86501321; 24850056]; [24770549; 92411748]; [57249172; 57517460]; [89767580; 70123003]; [81891557; 90030631]; [50606368; 61117196]; [80952973; 50960601]; [40363439; 77850002]; [44057843; 59241073]; [27610352; 23452207]; [32790287; 54190707]; [22010965; 39982445]; [37331303; 80760568]; [7496686; 46162582]; [7949097; 54865731]; [54583785; 2844123]; [42864736; 66955779]; [61850768; 24632599]; [57003038; 61443205]; [38512960; 24277326]; [42025368; 11232688]; [63963672; 60245749]; [32912514; 23603111]; [77192984; 4393310]; [7487151; 42905536]; [6279591; 73881194]; [59604065; 18579622]; [68780442; 39947249]; [92767244; 68087144]; [95995247; 74911460]; [48800934; 75349311]; [2654014; 39543468]; [58659279; 42277737]; [17996861; 31935819]; [12928097; 16210981]; [80687513; 55967777]; [52667986; 72960017]; [92001176; 31418571]; [7547223; 46753241]; [81489830; 372731]; [29345091; 75328763]; [95560470; 89842747]; [94786577; 5352233]; [61799264; 3922956]; [69700587; 48525998]; [45484090; 81735483]; [73658538; 29612711]; [80928538; 86372366]; [31279328; 11719768]; [83920675; 98677619]; [8206373; 55031690]; [2756616; 48471295]; [49584750; 46603101]; [39030508; 11268588]; [25397076; 72096839]; [20249459; 72611966]; [49099648; 93183525]; [6585201; 35796691]; [80852951; 21503793]; [37966185; 54210760]; [27991487; 98863970]; [14758986; 64532104]; [36982353; 72786981]; [3284005; 52879191]; [91694072; 46624671]; [49724361; 5761215]; [56672710; 71425903]; [66787639; 63982016]; [8201599; 50672491]; [94568531; 63962669]; [51311037; 99978417]; [86097384; 75151514]; [7751248; 67020620]; [64304873; 41741539]; [92493071; 71094957]; [25369895; 64315423]; [93549587; 88608773]; [6901396; 1114107]; [64637273; 25836314]; [64039800; 1099809]; [65749908; 15220674]; [4263259; 71503275]; [20727199; 58341538]; [66798553; 88585226]; [18727372; 146537]; [22228114; 32998675]; [45027092; 37501538]; [68783116; 44901936]; [15931241; 96100401]; [9656132; 44689242]; [67823665; 77213377]; [20026666; 45795632]; [72986609; 75174937]; [41901198; 48734313]; [97769231; 2949170]; [53980137; 21415278]; [22930705; 64007042]; [77865255; 29841742]; [16459625; 50372524]; [96532031; 80950922]; [98681681; 80917452]; [95024358; 95708351]; [93138278; 19999295]; [70087700; 3273409]; [86221641; 86438773]; [40069119; 71924196]; [26441221; 51274714]; [1227263; 20834004]; [39911302; 87901699]; [21560932; 52464886]; [73974911; 51027807]; [36844688; 59086792]; [90914385; 32939047]; [47103300; 5714888]; [30971131; 96470954]; [71415949; 72246735]; [94862310; 86064190]; [30921186; 96917686]; [84890846; 56544747]; [18896517; 93141970]; [87596917; 81933291]; [44437474; 8507415]; [88371270; 22066819]; [27070667; 76655352]; [1127279; 35767611]; [51626443; 44101137]; [31978762; 80049274]; [80242726; 21344467]; [37768149; 54924928]; [92543814; 13577160]; [90808172; 18432220]; [39487719; 27778730]; [48706835; 35260779]; [81247788; 43434073]; [4536801; 18749207]; [2751735; 83747796]; [78446749; 41386697]; [64478973; 86557276]; [68713944; 46895804]; [97436566; 5455845]; [11437180; 12214463]; [83514893; 73939557]; [54663675; 61510198]; [43043145; 37501869]; [75880930; 92585527]; [62144278; 37279280]; [69908904; 39754585]; [93660372; 12670334]; [93095786; 70781095]; [56427487; 67878770]; [61511197; 35389979]; [19188583; 95945182]; [80028363; 38887678]; [10067213; 47177532]; [17613580; 56895406]; [28336081; 88044903]; [57027775; 80453997]; [56086450; 37534469]; [96795345; 50302760]; [24952786; 62552391]; [54616151; 74046326]; [88297056; 63595565]; [73203930; 974320]; [32528637; 32707780]; [41917155; 49992314]; [21950183; 21138606]; [3812057; 87034296]; [84903560; 41405835]; [5995040; 77488745]; [86832689; 24781906]; [34128789; 6086224]; [32179526; 72502957]; [87847569; 95588099]; [86361132; 20965253]; [20080737; 79724071]; [12996452; 31596382]; [6562906; 50743455]; [30727149; 87301879]; [37869359; 53915207]; [93424961; 91231394]; [57902001; 31718954]; [17652127; 27641644]; [91989595; 54452266]; [49742337; 48145159]; [15185701; 19492825]; [48018261; 91840666]; [51947956; 21273084]; [61126540; 13695999]; [43031229; 24329213]; [52723069; 64814164]; [52550471; 56385454]; [60956186; 42715420]; [45147211; 28948835]; [92332980; 68793710]; [94309284; 46436110]; [70655457; 90754300]; [42891059; 77616874]; [46180228; 23572344]; [52608315; 87470244]; [12634479; 85492669]; [42920027; 42863797]; [24589314; 93218502]; [15421780; 75742747]; [71737956; 38927125]; [3869013; 86257944]; [67283659; 90365966]; [66070863; 55051473]; [60102175; 29834440]; [88288894; 75734131]; [50718082; 23637324]; [26709877; 37755926]; [55545817; 2717823]; [4532160; 27217106]; [54286419; 55459963]; [68833019; 7875679]; [37009818; 69176029]; [33645628; 86942010]; [78985995; 78814185]; [70366076; 86313148]; [52011676; 39703962]; [3834510; 40014300]; [98089219; 94033545]; [63783742; 98247308]; [8587920; 48522735]; [37803072; 96093585]; [13830744; 444694]; [66755227; 79081289]; [55260227; 24572295]; [1333449; 25910823]; [79230574; 68806380]; [99041266; 15952374]; [34000933; 38329952]; [892387; 6114601]; [33761481; 32394151]; [47894226; 12723804]; [54173919; 5660202]; [48508054; 10096582]; [13998074; 29897842]; [1577527; 82243416]; [80601059; 17405491]; [9378155; 56840650]; [4221840; 4857754]; [6984603; 86995439]; [77726902; 74210207]; [39218927; 916864]; [59729025; 10056589]; [86981025; 34742934]; [84386911; 24264198]; [7792457; 28280039]; [88629054; 85504449]; [1196128; 17786835]; [38530508; 20960095]; [4190482; 35540405]; [34104606; 7266104]; [59684506; 4968217]; [72250969; 48946566]; [62335079; 5589544]; [68988078; 46535385]; [67102172; 4536842]; [89263709; 53318631]; [85836166; 52957296]; [39650553; 25883452]; [28585239; 33135990]; [13482289; 8937219]; [65648432; 92531433]; [26029766; 30198019]; [49602023; 6043302]; [49176733; 35864315]; [95314635; 33538726]; [49126698; 93034250]; [54958748; 17251351]; [54838510; 21330118]; [4979506; 89116833]; [13058661; 48192996]; [65891007; 4533077]; [60278547; 46127385]; [71914414; 94712015]; [21164706; 26238533]; [78578810; 15031233]; [34783965; 69944700]; [46017440; 80501483]; [41155806; 5907641]; [89404514; 94845997]; [2075114; 51186225]; [79357754; 62425927]; [63957832; 1239563]; [72189463; 65757246]; [98476459; 98456714]; [58909549; 53217662]; [98052086; 552330]; [96189508; 28751903]; [83758027; 75613496]; [61148575; 36051844]; [62248834; 40196241]; [10129050; 27790965]; [50496169; 55932112]; [16186085; 95020201]; [86841708; 49874452]; [16438749; 78553070]; [69444334; 37878628]; [66109064; 91747094]; [55987024; 74522959]; [28879302; 72911327]; [75662902; 6194964]; [29976061; 37338170]; [23930834; 76193773]; [283970; 34237871]; [36001996; 61417164]; [34066023; 27200069]; [82955258; 67986430]; [72722754; 75732171]; [3027932; 24134020]; [92656563; 60769855]; [30596994; 42908319]; [44798232; 40322142]; [46568432; 32961924]; [29399487; 35908883]; [36414998; 19114184]; [21168912; 27651091]; [35853346; 97997925]; [82749537; 46405886]; [90887944; 59695456]; [94584457; 57094685]; [34026892; 32397613]; [3996360; 79676973]; [21424778; 58797850]; [46717522; 8645649]; [54819903; 47601385]; [49714617; 27506748]; [68295366; 90032030]; [99175505; 43204698]; [64720312; 81370160]; [28562186; 83558905]; [79527708; 89810848]; [23945155; 49928236]; [62834647; 14238211]; [52242845; 51031916]; [20775635; 62514144]; [45393646; 43424564]; [20186765; 51496339]; [26047030; 8748656]; [70291291; 97360160]; [61479856; 11921079]; [43310936; 16028228]; [49861929; 56048644]; [33869570; 97288912]; [90308768; 40182538]; [77629152; 98348804]; [10637383; 4475691]; [19104072; 53062837]; [20612663; 90174176]; [26130188; 68837512]; [18956005; 4126037]; [8588818; 72607756]; [91946606; 28722590]; [99867837; 55081928]; [897443; 25728338]; [44205078; 53797820]; [15984096; 59319531]; [37031738; 29265876]; [46009622; 10594839]; [95082902; 91331600]; [40209721; 20955746]; [52766625; 37185827]; [71124232; 83906481]; [82449775; 88950818]; [45283235; 32479312]; [70655418; 66574702]; [92726442; 76130161]; [74869152; 98807485]; [98318526; 37382398]; [88435653; 69820648]; [10328478; 11968017]; [41272960; 16846933]; [21171449; 34876523]; [30118245; 30743864]; [22197179; 89019377]; [63875489; 81251823]; [42402352; 69096172]; [16692103; 5509656]; [2654656; 53473793]; [80739627; 55417137]; [76116280; 27947360]; [77378290; 52650067]; [26057494; 41347202]; [3046244; 37394170]; [75957236; 15908101]; [87152356; 49173612]; [27958087; 79449335]; [25934808; 62336253]; [71389762; 63101047]; [15571454; 71102775]; [28487474; 71887395]; [66616472; 37538574]; [10219793; 17983581]; [88621415; 43925952]; [84797743; 92552868]; [22343564; 8856186]; [76162888; 10620401]; [82124462; 30323172]; [78813361; 80239393]; [5697559; 84298908]; [77081989; 55234202]; [19355676; 50734640]; [87515234; 26490463]; [98135008; 37529085]; [21854526; 93690226]; [39276182; 12271865]; [67795484; 76150901]; [66741209; 20699621]; [62628252; 34709288]; [70045212; 14030038]; [49835673; 64162420]; [79581150; 45636046]; [35654345; 79830818]; [5503314; 81035833]; [36303388; 1850630]; [50168858; 15648843]; [19969763; 28277343]; [66861469; 23672559]; [64261141; 39592170]; [75053573; 33532153]; [14411865; 3336752]; [2792903; 97870135]; [6179754; 78131315]; [29273764; 23204701]; [26836259; 55421630]; [64405867; 55518476]; [82459966; 40112318]; [86190008; 10163480]; [24711320; 30268429]; [65685338; 5663752]; [73679077; 41921928]; [41304315; 23925026]; [46841098; 89298578]; [16402604; 54195088]; [83412160; 24380129]; [51710455; 91153027]; [11702852; 13469708]; [50253913; 33311829]; [62566115; 6818191]; [8846099; 34833948]; [91846497; 43315501]; [30764097; 46107440]; [85205606; 18152426]; [78924173; 55016902]; [79800237; 98282778]; [38428046; 46560634]; [50389093; 7553810]; [71554339; 37537645]; [41092054; 24533652]; [36048564; 72749923]; [97101410; 6536364]; [81725719; 7361002]; [7098809; 12124943]; [35120611; 26403713]; [58328097; 76420994]; [31915605; 42762594]; [63162521; 66814080]; [62682142; 29660370]; [11448849; 32046676]; [56737041; 85125574]; [16293133; 19217881]; [73967947; 81447541]; [51497588; 39064388]; [24395173; 78127969]; [30849495; 3391403]; [80087676; 81689493]; [41782409; 81165197]; [54025775; 83051816]; [1986605; 24248478]; [65243568; 42644243]; [835755; 95352114]; [64124145; 35436647]; [96712041; 12296731]; [24937671; 32193]; [29304806; 65390402]; [42096501; 49517272]; [38152616; 54372111]; [97470026; 89506993]; [26476174; 18962261]; [79909704; 79074832]; [37111175; 3339085]; [53752064; 28737348]; [23975173; 26453863]; [37597918; 34711499]; [58416478; 90905050]; [65894608; 96509703]; [94784588; 18333836]; [8558956; 47733679]; [71862635; 82699839]; [77990875; 62245013]; [62266942; 41072983]; [73696318; 62515334]; [27617076; 38068603]; [1031430; 88642650]; [56819755; 28326408]; [20061892; 79678558]; [1099613; 26221214]; [75485935; 4843048]; [9712881; 96345432]; [43505896; 20350297]; [63540810; 71955027]; [68107645; 51074690]; [1581620; 6173641]; [11904630; 29388189]; [59327583; 54653488]; [31178307; 78943335]; [25567968; 10524006]; [41819231; 86701676]; [32159031; 47595942]; [41469573; 26003656]; [17810474; 81980632]; [32218393; 77007530]; [70344340; 63981125]; [25936132; 95947422]; [1287465; 82813815]; [90860699; 81752060]; [28389862; 24164650]; [65169158; 96050257]; [37014086; 41299307]; [49161678; 40966184]; [62784920; 67983192]; [12769264; 79044997]; [21056862; 35384416]; [78696931; 51880830]; [74129798; 94644463]; [84214593; 86540000]; [2855692; 46580447]; [70439584; 66665446]; [888827; 43592824]; [50047656; 67029581]; [91363147; 84559580]; [42660994; 92527603]; [32547888; 16729200]; [28178303; 93256371]; [77933808; 4962130]; [37001038; 68196235]; [80210562; 2941415]; [12529589; 28345064]; [63073784; 79492418]; [75179668; 35849799]; [6279126; 74182026]; [67270839; 7083781]; [66140442; 34395496]; [10770782; 18004192]; [93363657; 2784688]; [13471336; 75179089]; [42912944; 55199202]; [86463037; 78921695]; [99876897; 22467142]; [23983774; 30097799]; [52336174; 94154111]; [42473857; 51998920]; [92216435; 44920116]; [1798514; 38569757]; [52603512; 17937555]; [58170833; 15440045]; [18136707; 67246960]; [51049201; 80027548]; [21018515; 97104696]; [56357376; 54325031]; [81206613; 50108190]; [81727981; 10298337]; [69906647; 26219255]; [77765321; 90305416]; [67705899; 6744481]; [90653071; 40848043]; [205023; 57117132]; [29625250; 52818318]; [41919050; 13524326]; [24711909; 20127059]; [64848340; 91615501]; [65751882; 35428190]; [29945088; 44733031]; [90895836; 29538094]; [3486801; 70645381]; [55264661; 17099749]; [2241874; 82345772]; [62590747; 5330859]; [24543471; 14953708]; [33291984; 12607417]; [83135206; 59193217]; [50590512; 58073365]; [86132564; 77789774]; [33247436; 40973477]; [44285800; 35707065]; [88195052; 74599940]; [9312878; 62314285]; [35534684; 23207862]; [36506352; 64009940]; [89283663; 33776132]; [69420336; 89776040]; [74753484; 27724366]; [81592468; 76759680]; [46637401; 98197322]; [97888646; 18279976]; [60483925; 31665301]; [21808327; 84497889]; [55381079; 97623517]; [20920728; 50303890]; [45615521; 94551004]; [42729948; 16168419]; [48768105; 41839704]; [86342716; 48977072]; [4691548; 45040185]; [39546783; 20775704]; [3237169; 97596073]; [87512234; 98769259]; [27316399; 91321765]; [54447845; 84017769]; [53393227; 10898077]; [64390768; 59550689]; [86003411; 78761591]; [26892582; 35485307]; [10205272; 18335051]; [64029964; 33765544]; [2725917; 46795029]; [60440193; 99831823]; [23743043; 77325472]; [12858119; 58269674]; [52165544; 91173145]; [91984969; 58694951]; [54610323; 53740100]; [95805295; 12117473]; [89523224; 4751895]; [13538598; 34334355]; [43184375; 19161120]; [86389953; 24025054]; [74660407; 2621441]; [68121062; 93330513]; [24190459; 17637331]; [12915166; 25233991]; [28732307; 66135510]; [49654999; 27916372]; [99883608; 7683086]; [90322394; 28417425]; [36535146; 48395592]; [95142499; 90484846]; [81120543; 56871087]; [18129033; 4981159]; [72502487; 50115585]; [99372919; 95946199]; [8484438; 86834649]; [76334991; 31886650]; [81932622; 84338104]; [88009276; 99941309]; [14581297; 11596682]; [55921843; 44534778]; [5105249; 92755998]; [76426001; 8097697]; [48659913; 7730763]; [66190421; 63383315]; [63593748; 74755946]; [39461497; 95724788]; [32862024; 30493241]; [2935047; 9602155]; [58955990; 90955680]; [42965459; 39917391]; [80966171; 62163063]; [50056058; 88151683]; [85332396; 43681179]; [33523035; 66399528]; [35537772; 94547722]; [10146776; 48533452]; [50823883; 27166340]; [75934234; 66927539]; [75614038; 92076099]; [36232491; 47467461]; [25297994; 85164309]; [77818312; 557185]; [85021858; 60929805]; [54031604; 84829056]; [5976636; 70985015]; [79250835; 70151947]; [2063725; 85007596]; [59258744; 63329871]; [26239064; 96258843]; [33821677; 28320791]; [9984576; 23309156]; [23622226; 38700793]; [48875846; 66986775]; [57874560; 44291471]; [72150518; 31504858]; [97601285; 68206159]; [18650460; 46928865]; [86408121; 46900069]; [4378247; 41844752]; [96838010; 20955141]; [54684342; 62266121]; [2916340; 67702128]; [85038217; 90128663]; [11257574; 27090347]; [16678403; 48939919]; [54090442; 70398093]; [22050347; 37399151]; [39877713; 60901235]; [95617264; 36912915]; [96543194; 72290501]; [7324044; 15968877]; [68006437; 94123106]; [19049770; 5288529]; [78825861; 43741580]; [44060518; 74569204]; [79303794; 30245398]; [42757941; 95370983]; [40220843; 81101867]; [55972796; 82759772]; [29101562; 62610377]; [41729480; 12053251]; [23723232; 63668181]; [44015109; 12892159]; [74193257; 67393172]; [85708027; 89607254]; [11840660; 76181230]; [44798058; 77202723]; [44097718; 57564229]; [38220203; 1314140]; [91607943; 23702244]; [49442961; 58058365]; [48611224; 47772363]; [27460762; 51975194]; [82370970; 254133]; [18710479; 11784865]; [63204891; 77318306]; [36683018; 46792777]; [61483884; 12025124]; [7944748; 23137623]; [2030863; 31444327]; [7878149; 57194281]; [71183240; 88673794]; [30673636; 56564764]; [45691343; 44873502]; [57434586; 93742484]; [97426965; 79791731]; [87682234; 81552066]; [97583078; 72768232]; [52135321; 30495365]; [35006088; 13621472]; [40469282; 54809469]; [40142649; 31339557]; [85273261; 2052807]; [11631605; 16673983]; [65074621; 52335910]; [9121261; 47569304]; [64335607; 61138441]; [90676257; 27720343]; [7819761; 64888277]; [38381344; 83233278]; [37954548; 62351557]; [30410259; 17854574]; [82686435; 99570857]; [26272871; 37797360]; [17031733; 40222167]; [67744597; 82633763]; [48752356; 59196152]; [2006862; 7487093]; [58530659; 43588783]; [16215351; 28249580]; [86419397; 13271017]; [60909634; 55278970]; [34299900; 59979239]; [13767945; 86203899]; [12847819; 91324151]; [48053003; 42181571]; [71380899; 76978149]; [95607940; 3658533]; [31326171; 48257692]; [48139279; 43842821]; [62287302; 32995631]; [96899258; 64473807]; [14355378; 76297813]; [5724391; 84935726]; [40307868; 85274780]; [75417604; 7097403]; [36593132; 97659609]; [35932419; 45791185]; [90212864; 96111622]; [7750111; 62285427]; [74004292; 18725876]; [98944836; 52189430]; [99260112; 11932042]; [82359882; 34941047]; [91500963; 5163665]; [69310699; 22514665]; [49087681; 64740282]; [31474051; 54640618]; [15495537; 99333049]; [45316103; 80010974]; [88540214; 25585413]; [21742624; 2584936]; [81973311; 63135302]; [45952385; 82121813]; [70607654; 89403383]; [7248193; 80418032]; [60264733; 28310878]; [54303421; 24684948]; [53599576; 19164915]; [55392946; 81661743]; [51625202; 53488881]; [17403644; 63876524]; [92705595; 34568387]; [20390614; 49045774]; [861755; 73788140]; [39253367; 54183744]; [962884; 52791732]; [21900616; 27313025]; [63602327; 53291085]; [6000733; 19844170]; [93634538; 60704527]; [2965262; 45926775]; [90786602; 16150501]; [37982372; 95598474]; [32097217; 19276681]; [71261135; 92145325]; [25775690; 8303208]; [78839771; 51911402]; [29946342; 89024316]; [19008189; 57573098]; [9857238; 81053658]; [57013484; 63757792]; [27748428; 17266498]; [10982277; 68516184]; [23630842; 31371132]; [61061094; 23135047]; [21859781; 99673877]; [2355462; 44722953]; [306050; 69840231]; [47199279; 68221155]; [95002170; 83977905]; [61562527; 58049900]; [95330809; 56508979]; [29655960; 12473602]; [51750447; 51705381]; [28738778; 83347699]; [24556622; 84498078]; [27169833; 21879190]; [50954526; 9396335]; [53259967; 96223437]; [73955667; 92893881]; [20966421; 5217170]; [9225141; 41406225]; [79818934; 53399394]; [35143271; 31890798]; [42907733; 14972645]; [74180301; 69583425]; [47912338; 13148070]; [61525815; 86693027]; [49616266; 86143023]; [42615362; 74738519]; [18314975; 86175541]; [8316532; 63363709]; [87409815; 91404128]; [62087706; 20178135]; [13330718; 77482444]; [32105881; 55788335]; [30038857; 71645436]; [76368404; 48406916]; [74246909; 54672475]; [14779535; 30868197]; [57352837; 39976549]; [73652669; 41774815]; [84401815; 34877732]; [51921479; 26218390]; [13254272; 19842834]; [4537207; 44911824]; [71855419; 15068012]; [14389199; 54248913]; [79075956; 50978382]; [58854031; 75221645]; [24027369; 75893048]; [29642664; 56765357]; [75893864; 38930580]; [28395023; 31092982]; [55520472; 91914381]; [88968243; 59739]; [9835876; 59881245]; [122859; 73333589]; [78917601; 45946850]; [3466378; 14483078]; [69388201; 46493702]; [68856731; 15864247]; [15329146; 12896404]; [216780; 49099381]; [22635208; 60872107]; [20015106; 31903484]; [98978145; 25100180]; [70180167; 80416661]; [99619132; 15636027]; [80416115; 98296085]; [22194681; 25314159]; [84290446; 9435775]; [54027094; 88604311]; [61653719; 63153739]; [94942794; 2122083]; [45349980; 60864460]; [78796992; 69729825]; [31287889; 25869975]; [90844144; 30710658]; [18327773; 6082261]; [15246994; 8817077]; [1438984; 78745645]; [45371088; 25541080]; [19939166; 7604197]; [85488974; 30569484]; [31212557; 8882218]; [55076625; 77505906]; [67092006; 85527102]; [28177324; 47120194]; [47800787; 62954378]; [40764971; 20084783]; [90142572; 21602463]; [80978376; 6935436]; [93336336; 30056418]; [95962356; 33925037]; [69665381; 17799576]; [12622379; 81581220]; [13508207; 29730674]; [78034874; 46652786]; [50422460; 89321782]; [46019460; 21012925]; [13236819; 69421605]; [10037983; 78161836]; [17659542; 66369690]; [33678408; 69934962]; [28178178; 70432635]; [90101649; 98219271]; [52744615; 19191751]; [40264290; 63831375]; [12870062; 40294139]; [27512323; 31252100]; [60719298; 87627162]; [762008; 81459299]; [10285647; 52321449]; [47748166; 72078921]; [93563241; 23072870]; [46987655; 12501873]; [23870108; 92702692]; [83699820; 67329600]; [19365849; 67525348]; [3189685; 31198689]; [3565074; 98107272]; [95608850; 78116413]; [95002344; 95851363]; [60652590; 65031358]; [13566618; 15207207]; [84723729; 83242693]; [2799590; 14646851]; [49473603; 6646517]; [81024644; 75685939]; [28560073; 92039826]; [61792522; 72220368]; [41044359; 75937633]; [13178912; 74809050]; [98396081; 89018891]; [94266278; 71611714]; [95181391; 88208209]; [42112920; 68275075]; [46339889; 7229270]; [21960512; 49406454]; [70360181; 89591417]; [51015643; 36143799]; [23184644; 18966420]; [72985610; 10023114]; [60776940; 17336904]; [50873117; 97728373]; [1245490; 66930856]; [9254725; 63986843]; [76208106; 3421895]; [33783456; 98640027]; [26755599; 11140148]; [46315884; 23936996]; [95902875; 11560020]; [1236201; 60532705]; [91396797; 84689531]; [36087438; 95659537]; [38587216; 64921883]; [64963165; 64922023]; [95235394; 49513623]; [84296899; 20448348]; [86317454; 96516299]; [8322793; 62449460]; [55704332; 56640196]; [93416410; 94661663]; [21882073; 9287264]; [37066818; 64689407]; [75764303; 64758147]; [10280034; 81876711]; [77809121; 44545381]; [48725393; 98313110]; [9634695; 81842367]; [68139798; 54477270]; [82955152; 44959529]; [71880299; 94266135]; [48168522; 31267501]; [46645343; 37112121]; [8786769; 86749233]; [32483236; 69180708]; [97915331; 39256364]; [48568705; 52871590]; [4122768; 69394563]; [72161140; 8596834]; [68257492; 78575734]; [55508468; 39517633]; [43152662; 19447930]; [40641636; 88510171]; [50193231; 61261945]; [95383096; 85877212]; [94313298; 52505878]; [17714234; 71792291]; [47063474; 53810957]; [90482837; 64601474]; [74338093; 34154140]; [55201928; 31243956]; [50630750; 13054423]; [19695867; 55099455]; [52334473; 88953470]; [92779924; 97964402]; [49020414; 90671041]; [81942520; 90662046]; [86825204; 47405252]; [89761020; 92332500]; [99629325; 76181642]; [41748045; 13850621]; [50241441; 21787701]; [74544478; 5127428]; [6954457; 43290702]; [97873037; 26723260]; [79530163; 67376839]; [79012252; 92643906]; [51393485; 83262619]; [14782827; 67442228]; [846937; 68214874]; [7031051; 31176737]; [71926748; 75140029]; [19086566; 87961160]; [98780341; 42553077]; [22292732; 14153694]; [27376458; 58049471]; [55976102; 45871905]; [96615475; 29656933]; [99877428; 27605447]; [53614718; 10398512]; [32568462; 34301460]; [77700409; 51091200]; [22891476; 90721241]; [27162048; 50749785]; [20381652; 4598897]; [25021103; 12098762]; [30886550; 21462624]; [36475703; 56161774]; [33998169; 58447444]; [13192730; 9993413]; [69293397; 28056843]; [6054582; 64280047]; [95045467; 64922474]; [2471509; 21610702]; [39663455; 36711097]; [77718918; 85480547]; [28560771; 27272991]; [39509511; 30457186]; [68764537; 54844707]; [10678664; 85789657]; [17979456; 27313692]; [8628011; 30708739]; [25793707; 30690796]; [16198683; 35701930]; [73079519; 86350662]; [83289798; 21063529]; [46689160; 14866557]; [81016198; 56322413]; [95737161; 23583794]; [86619968; 92123668]; [91521949; 28607118]; [30084099; 31229064]; [81774497; 319984]; [22938844; 59802297]; [96421975; 76377178]; [87809928; 25734794]; [7622515; 42533038]; [86103568; 17487777]; [92726455; 30310834]; [44135631; 42232556]; [95571306; 35011326]; [60553034; 36790267]; [4691803; 16556788]; [44569355; 79128589]; [58749422; 18254487]; [78359056; 12943950]; [43640563; 63497054]; [63443457; 46573918]; [66328346; 50174588]; [30069543; 55085978]; [90394130; 1997170]; [33968697; 42803953]; [93057354; 3814139]; [39372994; 13266762]; [89920737; 44425535]; [95060407; 2839894]; [47223396; 19646860]; [91706091; 37140689]; [29376177; 61598037]; [59171991; 48719064]; [4959239; 10360643]; [74642299; 35028782]; [86832197; 8623933]; [73692795; 30958299]; [66218821; 61460580]; [69796683; 51289120]; [95962622; 5458931]; [89030337; 90877257]; [56456289; 85305693]; [98943745; 96481621]; [28673936; 80622964]; [61234743; 41955930]; [93665634; 33719647]; [23591165; 85968426]; [74976337; 3188232]; [16066575; 86470571]; [42407828; 7077963]; [7577196; 22014902]; [64658922; 25531717]; [14468155; 44100818]; [29402126; 97197232]; [30936715; 58970889]; [2282021; 38772233]; [53593063; 89407653]; [76680962; 52887794]; [30867017; 49474083]; [4690493; 5745296]; [56370349; 45427124]; [58335012; 89200476]; [70249319; 75453538]; [28817951; 74864453]; [73199976; 42726594]; [77650562; 25630424]; [68294844; 66671833]; [9016332; 44351336]; [67828695; 55308809]; [24124744; 66248612]; [94664531; 31330279]; [24145221; 81749663]; [20078908; 87063161]; [17096749; 83895137]; [43459966; 36913724]; [65574715; 91810081]; [54521778; 47072794]; [90412871; 66501707]; [14678056; 42997526]; [67751386; 49572687]; [87284489; 85426143]; [79081322; 53931007]; [42992499; 75638953]; [58248978; 70891475]; [39558709; 80287201]; [97664129; 54487045]; [84032706; 99703703]; [50187815; 43345519]; [92051033; 22277199]; [33743325; 17068887]; [34675314; 92962904]; [75702528; 64700427]; [66069732; 31900844]; [99710372; 87525494]; [39686878; 69463497]; [35818200; 26697641]; [48616629; 65825997]; [49002483; 9485867]; [46896659; 25515896]; [1688396; 48547166]; [52116141; 72622504]; [98831103; 72947512]; [66555416; 14496270]; [38464070; 17838724]; [23301903; 13014464]; [2240085; 70660761]; [18743685; 18592773]; [56193208; 63247570]; [99164101; 32980409]; [24497127; 91160108]; [84791473; 80208141]; [86537878; 61046474]; [86830700; 40459872]; [92798633; 93518385]; [16042122; 67499136]; [25176357; 89979284]; [13034294; 34535574]; [3702723; 65696506]; [98827690; 93312745]; [31448019; 9334813]; [26280662; 25202532]; [64293233; 46039753]; [69634124; 65187032]; [42039828; 36896424]; [98098064; 7759534]; [49548286; 15797828]; [66540736; 40232869]; [86631632; 1473009]; [49646435; 12622400]; [53172533; 34304784]; [26348911; 79142309]; [65557890; 43307829]; [21160284; 87136021]; [26648889; 26335680]; [62538507; 10945194]; [69971240; 53243765]; [31439859; 72820025]; [50983795; 63017857]; [50280712; 48414639]; [12605819; 5300558]; [36469307; 10726528]; [7741942; 28796179]; [96321608; 34045020]; [22400073; 30573935]; [21201360; 8709436]; [1073857; 94575006]; [39264862; 76081678]; [73691994; 38807532]; [58889336; 35999556]; [60670126; 62310575]; [63883876; 15615233]; [45735301; 61781959]; [40289470; 4632485]; [35922644; 55873041]; [15003828; 48475908]; [76429471; 24224744]; [10731150; 73543338]; [25409865; 58559176]; [62914097; 41333775]; [48777289; 5896880]; [87477915; 87693538]; [38363027; 2286055]; [68051562; 28419930]; [52794113; 82555573]; [85923345; 14774846]; [64583801; 90290684]; [35573243; 37539764]; [1691294; 60201630]; [7516801; 19456995]; [66119359; 31177888]; [25183954; 91955721]; [74148160; 99830776]; [67046069; 8673415]; [27290384; 21004475]; [89872333; 50801418]; [74368446; 52535840]; [80326189; 42858573]; [11881013; 90101535]; [70671415; 58339113]; [20646548; 91196911]; [51394603; 33259856]; [84645148; 47544459]; [53865963; 82019301]; [76295526; 83825557]; [74818198; 60183118]; [26840298; 70831158]; [89500188; 3270690]; [55232876; 12338323]; [52292060; 85780425]; [98250038; 38126373]; [78993881; 50545014]; [30193668; 82018815]; [7269812; 24513026]; [26785549; 67552826]; [10679645; 34922352]; [96722426; 55099912]; [8100712; 68565338]; [26305260; 26233814]; [63009585; 73519149]; [33516535; 29253206]; [44370311; 11708625]; [81968766; 84581329]; [46584641; 10718116]; [10602183; 48669407]; [48276882; 50588938]; [46469703; 35024091]; [94765266; 20769882]; [32629833; 78909138]; [51959395; 30590003]; [30771232; 32802605]; [54208637; 56285527]; [40356046; 898547]; [82562998; 52862251]; [83625972; 34451997]; [37190744; 78233416]; [51162440; 72521372]; [78463707; 63401165]; [604648; 61137291]; [47781871; 15452514]; [8713544; 25640270]; [70680191; 5374574]; [41393855; 73939312]; [58864337; 88373339]; [1841310; 58945416]; [59078766; 62234650]; [26601192; 39025369]; [77069629; 73407440]; [73670468; 89180251]; [50442767; 42229017]; [26547620; 1411167]; [74890308; 14032617]; [13131659; 13382822]; [46343941; 23731669]; [64352688; 9580843]; [78010878; 87744930]; [47451729; 70710926]; [40895637; 58760776]; [15062117; 36681938]; [50172048; 66159700]; [17130796; 37256719]; [46941516; 50040376]; [75370794; 2607371]; [31569745; 21051028]; [63629917; 80986989]; [63023195; 36519506]; [79363512; 57722933]; [69352192; 47999797]; [76783533; 52057783]; [89476348; 24516440]; [1183123; 44821278]; [4834734; 16695278]; [47889095; 30209638]; [70133412; 21627785]; [98300056; 41174888]; [40538267; 34342478]; [89302923; 40821791]; [2251218; 10048051]; [43846463; 13260243]; [68867368; 46484171]; [25117290; 6919019]; [46306579; 11686124]; [7244608; 76620585]; [86461284; 57883722]; [65785766; 37120277]; [25187174; 90479224]; [28886844; 93727901]; [40926115; 27576764]; [85910943; 48319327]; [44319123; 20628301]; [87894594; 23745507]; [95184400; 69806959]; [48872325; 68029799]; [59803439; 55376916]; [62577738; 79649982]; [23246588; 44771410]; [69107687; 23210109]; [97105639; 68470124]; [55257755; 65236589]; [37780066; 76995212]; [9095191; 76611988]; [76028316; 47631793]; [55486850; 81980685]; [52255985; 97007868]; [47491508; 5696416]; [17482777; 73165394]; [52879510; 18526042]; [99679960; 48391477]; [29986813; 71766945]; [63067591; 97576320]; [77651517; 22443558]; [62502739; 25856725]; [78953449; 64984052]; [84608138; 13868875]; [14079510; 31638162]; [2487908; 89598433]; [67965366; 45485796]; [91055411; 3894420]; [86288543; 72580853]; [4219518; 67309034]; [9537470; 17093006]; [69230946; 64905685]; [86874716; 15998357]; [3830592; 22016372]; [88450451; 88701918]; [15340001; 22546013]; [27246200; 4579510]; [3168986; 53549628]; [81394267; 5523906]; [44557711; 81359068]; [24493697; 59931922]; [81850332; 71194765]; [24862975; 17984987]; [73462032; 38388532]; [67195021; 42782738]; [28173286; 49130740]; [20888555; 23775592]; [66719300; 97321180]; [76667547; 77604195]; [30449057; 42859535]; [21174487; 32638168]; [16601271; 73679248]; [12793655; 48689540]; [19770660; 76075922]; [10498526; 46800927]; [91059049; 34235510]; [67221609; 40220280]; [80998907; 39865053]; [18998370; 12319088]; [63152153; 55300952]; [30321204; 79808604]; [91493748; 30994112]; [54186080; 36809226]; [8252461; 15938058]; [53322671; 89045518]; [7517569; 25432705]; [72077084; 70473214]; [33408603; 28294785]; [74808200; 7195136]; [46186173; 8862986]; [66642975; 62202374]; [84300584; 84368308]; [87766169; 55090184]; [16905440; 2317495]; [86851357; 65617109]; [76223554; 19449503]; [56272745; 68744053]; [10715152; 17665042]; [81712810; 80506316]; [27255400; 8768469]; [28130729; 82276242]; [75678316; 2912255]; [60747435; 7428350]; [20670510; 25294592]; [54543559; 71563274]; [87648738; 56091218]; [3900997; 82464656]; [49065197; 83413166]; [68569727; 16277061]; [74220686; 53534101]; [96786088; 49618639]; [85869125; 8953588]; [62272109; 49805274]; [65646017; 98706569]; [95154977; 33982267]; [69653991; 40493016]; [73417205; 71704280]; [80463098; 17740029]; [92021725; 12389925]; [70281454; 73637667]; [82058478; 91706336]; [67620449; 81503424]; [37759789; 70595278]; [49600539; 90372503]; [61964243; 7697936]; [39385946; 59035771]; [81750809; 69727473]; [40716418; 19607458]; [85188226; 98725474]; [31109086; 92548884]; [73214489; 90034057]; [68343469; 14288815]; [75966513; 91048812]; [99932946; 91977283]; [62700828; 65941686]; [91048298; 63744237]; [19870091; 27253]; [78284568; 98095537]; [20661410; 97972248]; [2824139; 34566696]; [33784581; 83025964]; [47526874; 27940629]; [28032326; 10718588]; [79544934; 65499248]; [43433101; 77646216]; [32515431; 32854609]; [97858338; 55607087]; [13684133; 1505693]; [72555561; 54650583]; [50160742; 59770888]; [33430327; 94893894]; [68545545; 23644177]; [10147278; 6369977]; [24669507; 40546650]; [7789506; 38205322]; [72247811; 36372990]; [84682838; 97797921]; [83089552; 31748179]; [87907227; 81549]; [24155425; 33302920]; [87200661; 67013103]; [73405520; 54014091]; [5625353; 32684260]; [32788589; 60410866]; [43163825; 79988091]; [31594466; 55285900]; [3605457; 90604455]; [67265492; 81094600]; [46124798; 55811205]; [1577722; 85276132]; [62335410; 79225942]; [85348414; 79807292]; [11650324; 98124762]; [85725341; 7022473]; [4221272; 5444274]; [79088982; 92893375]; [76191092; 6858564]; [18187066; 88468795]; [78723394; 73979850]; [32119754; 79272646]; [64310591; 66069997]; [20406280; 50317027]; [68622272; 44940756]; [21983177; 81233211]; [41973019; 35744423]; [92651804; 32540168]; [13415934; 40858650]; [8231130; 31819812]; [57401889; 54870646]; [89193302; 42981756]; [80252818; 30846061]; [62234213; 79534507]; [17338055; 40154452]; [72299256; 79672906]; [85510668; 9506656]; [79872344; 38244117]; [41190951; 41148251]; [68031354; 29203324]; [18681683; 37382826]; [76563507; 11030764]; [35459656; 91124613]; [65303015; 95892781]; [51661829; 82739273]; [96238249; 98792772]; [99853802; 90799772]; [35537889; 50033450]; [61343274; 67303704]; [28210476; 95469217]; [28569825; 42937860]; [1950277; 70986417]; [69016901; 40010050]; [82386071; 76451344]; [61049387; 39541539]; [62475484; 57867601]; [19744321; 57924828]; [2829394; 79978912]; [82615971; 66253096]; [77937539; 17480485]; [4625061; 31787357]; [77235066; 26305087]; [63026867; 45999858]; [7842953; 31790014]; [55937610; 94845434]; [49088094; 22113477]; [43449138; 32088737]; [98631259; 2483908]; [91260624; 83591970]; [168579; 2645130]; [42615079; 35374951]; [13987475; 5286297]; [7272799; 56620787]; [38209398; 6067332]; [24221455; 80487264]; [947432; 27900672]; [75325317; 64208596]; [54158808; 55985767]; [22240400; 83008952]; [91866790; 47419822]; [44742719; 66007528]; [18806636; 91366648]; [41831779; 18321836]; [77634569; 22632134]; [97975368; 45408066]; [56342324; 76175658]; [64551703; 59947424]; [90355782; 75084125]; [14542775; 37841933]; [62520897; 63729052]; [33104241; 27983857]; [71889427; 50189592]; [96302697; 76369574]; [98017350; 92997974]; [31458467; 55453418]; [24297983; 73891020]; [25042926; 56529638]; [178934; 36928844]; [16851948; 56446435]; [35443227; 52619991]; [82351631; 95930210]; [5263046; 19556408]; [70796578; 2117403]; [17787491; 59922268]; [43811023; 32365854]; [50179079; 64568968]; [68513334; 52443066]; [93745912; 24285325]; [49145795; 35032570]; [51579276; 71938133]; [49304293; 64810275]; [20579319; 66700512]; [57119846; 41690079]; [13137608; 70358804]; [29671842; 47097320]; [73784199; 74431380]; [9641758; 91772611]; [77291770; 26584679]; [85470261; 57459610]; [90629200; 62338055]; [38537039; 26358228]; [28327541; 19850879]; [44228485; 12922297]; [82789724; 82753227]; [65486451; 94616313]; [11723626; 82205209]; [43794261; 62238200]; [12531305; 76495652]; [56677015; 30697877]; [76306198; 94687445]; [74060365; 18714968]; [30976079; 5068448]; [1623975; 16210660]; [87529919; 75754528]; [86010214; 99679640]; [16535952; 18436426]; [38805612; 97220852]; [41356821; 90535065]; [78925899; 54300]; [52740461; 11586657]; [62829673; 11659627]; [53353550; 96275221]; [32730292; 12254494]; [46272301; 42277864]; [98748142; 16486674]; [86323034; 37649701]; [45608298; 83057669]; [90221167; 39494012]; [12181070; 29483698]; [27396948; 47353314]; [71993673; 52491363]; [38799796; 16038146]; [11090079; 42195524]; [33289786; 39809480]; [37255621; 59758230]; [28970311; 97898524]; [79779397; 22540625]; [93975623; 29617814]; [91098708; 68905203]; [56014993; 17148789]; [88635785; 17686691]; [13960224; 48794422]; [6621946; 1877497]; [36259157; 94676878]; [82245887; 68676290]; [72077542; 65251702]; [40849474; 32810428]; [94785241; 34694624]; [53521277; 56688828]; [70307456; 38562519]; [76524712; 4439707]; [9376719; 31160808]; [51609945; 70648345]; [36627889; 9091282]; [52241155; 36593528]; [70509690; 72547782]; [10113827; 22806043]; [62063856; 71611676]; [92149804; 61453908]; [2303051; 24777805]; [14827527; 54705456]; [58014865; 79806780]; [7516270; 34845981]; [94060718; 52806305]; [32018633; 49390106]; [73101573; 13615521]; [58275; 17128295]; [28933283; 64938859]; [62863070; 22298603]; [89421898; 52034430]; [44726778; 28083202]; [38381295; 72799409]; [47741095; 38279101]; [64598632; 28328270]; [40498592; 20408765]; [70055883; 41171953]; [88382046; 75643655]; [92998158; 18139473]; [13479471; 60264492]; [17588365; 2335249]; [13262358; 40055121]; [72494595; 83732428]; [25862895; 35768177]; [63299693; 61781148]; [21996737; 92346472]; [53702861; 19362963]; [46997133; 81483118]; [55912279; 78743790]; [55595707; 35612127]; [45160703; 43123917]; [67657966; 99463410]; [91051143; 33501156]; [88385059; 42569267]; [21831649; 61580117]; [72411090; 4898697]; [82436656; 73078777]; [35730995; 73466485]; [83989644; 15208000]; [32660434; 3486959]; [58856256; 80997583]; [79691754; 96442899]; [87946747; 8927075]; [206829; 77518332]; [56803033; 38811284]; [12012860; 37858655]; [41526587; 26746563]; [69785201; 72433090]; [23022031; 84748828]; [86727949; 92470378]; [81840140; 71250711]; [98566596; 2168158]; [32741534; 29562756]; [97995245; 183278]; [24268656; 70467888]; [74965888; 5000478]; [19654330; 77911737]; [45956898; 46939774]; [80391650; 67813236]; [87695560; 96740285]; [34553653; 86416077]; [70972626; 73089934]; [53754714; 22479412]; [389681; 65042611]; [73046954; 14364599]; [62582570; 56460011]; [6030224; 35871237]; [85947248; 97057251]; [42247776; 61075071]; [7559706; 12319116]; [28539809; 1470877]; [73372665; 50202031]; [45665279; 7948358]; [14640529; 9927897]; [57147074; 86109182]; [46747818; 84241482]; [10105786; 4395615]; [17873182; 22209533]; [37580409; 10941737]; [76273065; 56491735]; [74196245; 71917502]; [81513239; 74859112]; [69775249; 82568838]; [80253336; 99088685]; [86162975; 91613214]; [84284772; 39869246]; [83999718; 76369353]; [79449948; 99836245]; [94147211; 99973356]; [73098368; 78028766]; [63593959; 56468344]; [1769759; 44211096]; [29626363; 94020529]; [63390372; 66323315]; [83310013; 32216387]; [15248822; 632351]; [10332141; 69237226]; [59048997; 36189690]; [18355884; 36946084]; [37500749; 59673174]; [77704967; 82169122]; [25855040; 62311490]; [20797732; 45602687]; [69589594; 28993977]; [71683035; 28845106]; [54976167; 51102821]; [1094060; 2942923]; [89541118; 17751967]; [23369293; 10838444]; [66011218; 69905937]; [30052150; 76804150]; [19854285; 45030248]; [75199278; 20996472]; [82674986; 69489493]; [19446457; 63094708]; [79699591; 72550174]; [58193707; 63454984]; [85089205; 5479852]; [76670776; 36719997]; [3492045; 47405625]; [24443510; 86753782]; [53571479; 70872266]; [91368960; 11122793]; [83358662; 76240642]; [48247502; 99554123]; [13469691; 75436265]; [39170274; 24726362]; [52973797; 53010948]; [4515865; 39103351]; [78553933; 69253211]; [2428837; 88857868]; [17467270; 91548349]; [1857341; 18027467]; [2638035; 16004301]; [608113; 31271013]; [28762352; 19513713]; [83185643; 51702441]; [35205564; 82118766]; [58934986; 70403063]; [26558542; 25715441]; [11197651; 53615004]; [90889150; 92751863]; [58973611; 18551365]; [88547251; 10045311]; [68203283; 19499676]; [55852664; 12957284]; [93966804; 19979266]; [57378802; 42360557]; [17628701; 11755316]; [18479705; 19449437]; [5155551; 26192022]; [2970782; 72976607]; [1516695; 21088543]; [16211105; 42944984]; [38206803; 35526580]; [61681367; 87365498]; [75156634; 27558789]; [28058096; 65637587]; [90547231; 83605537]; [90233845; 81633967]; [91408111; 16683407]; [60845293; 4132393]; [33925290; 87528835]; [77238583; 93687646]; [94903877; 59816714]; [11582414; 32001264]; [33867521; 44184659]; [57488238; 54386069]; [77184948; 20244468]; [2720; 30613916]; [85461659; 32552034]; [10277194; 54960512]; [95625522; 23746584]; [5977111; 62835772]; [34902168; 70640285]; [26230699; 21540359]; [8388405; 58932343]; [641077; 97736711]; [81083471; 41720550]; [77448666; 17723861]; [69736839; 62975205]; [16384610; 40705048]; [14107271; 53746380]; [65272530; 79923421]; [81226793; 29540972]; [57414005; 53504323]; [17202264; 45662964]; [29697449; 95019172]; [22335059; 60599271]; [76961247; 53998749]; [68126727; 87315285]; [74377129; 88203972]; [95357706; 11878666]; [70213051; 26545524]; [58102414; 84410824]; [58628859; 60848255]; [80272275; 83769666]; [85852175; 25030464]; [6320977; 66143301]; [70318246; 68911155]; [50850683; 50279719]; [49063474; 39061141]; [87343390; 22145876]; [86382236; 33709983]; [27534018; 65278958]; [51070650; 12841389]; [17754729; 77444939]; [21987866; 75242399]; [90549689; 36161430]; [2001213; 6128107]; [79625823; 29211677]; [90805750; 23660947]; [98484888; 2207846]; [50403032; 29832715]; [83857195; 45794838]; [20388591; 84624410]; [76282505; 12472824]; [42449767; 69772982]; [62919764; 55920884]; [67771342; 72328398]; [31342451; 76362760]; [70912575; 85970172]; [64581444; 70800824]; [814474; 92231284]; [48494784; 20231112]; [3536863; 89400902]; [20551897; 68700871]; [74595195; 45951662]; [55778435; 36535792]; [746506; 89648133]; [79935394; 12492455]; [20691816; 3807124]; [83088450; 37168024]; [3677831; 14833528]; [44466747; 93329927]; [82246958; 81793530]; [56431894; 58721278]; [14088191; 9389105]; [17376487; 1989779]; [8044591; 63046613]; [80355303; 2089974]; [18631268; 72110438]; [10260088; 75595831]; [69980634; 43659175]; [67792478; 48117007]; [65629679; 56440938]; [62274637; 51406647]; [50098660; 93501794]; [45139360; 34979591]; [25514687; 17132973]; [14258746; 16178190]; [47849722; 26940900]; [49705450; 44399163]; [59077153; 8611595]; [95850245; 74449032]; [50145113; 12234100]; [78044966; 52997316]; [18324113; 79873651]; [96923736; 85578853]; [14679261; 46609264]; [93713277; 17332380]; [31880719; 33377196]; [47648646; 88451575]; [99562743; 74271059]; [22968826; 45853210]; [32258720; 62538766]; [99238923; 85458476]; [21613722; 26721299]; [52355263; 23552476]; [38226777; 26059398]; [57455081; 17331873]; [43109312; 48622410]; [81535603; 6014176]; [32685882; 91852304]; [81303008; 22442024]; [53644856; 60857596]; [422895; 42925870]; [38092340; 86809798]; [5136631; 48837282]; [58724341; 48523061]; [65117116; 79631693]; [34046957; 74275308]; [60151806; 59568203]; [28404191; 8429304]; [31060410; 98937403]; [54510559; 17609754]; [69394865; 85972524]; [40974634; 9874182]; [19246123; 72004212]; [88802947; 5426018]; [50099616; 47339907]; [91674628; 30062508]; [1628608; 76865649]; [66724167; 42324170]; [99835212; 17576870]; [21810786; 12793961]; [15830847; 67440558]; [93876096; 45653385]; [78772530; 83989688]; [96728490; 30852382]; [31847710; 22764611]; [94935580; 23165906]; [83639526; 21363162]; [13103073; 3832872]; [19108745; 45229423]; [37596731; 75597489]; [9785423; 90095573]; [61242088; 83008179]; [64347363; 25928391]; [76824266; 10264618]; [1382210; 99486538]; [42667013; 70960074]; [55323894; 74208216]; [17329797; 22100293]; [49593198; 48159908]; [65374433; 89158493]; [57066556; 38934170]; [19138743; 95671319]; [64515829; 68695528]; [94811327; 97920896]; [50585288; 94282307]; [87461020; 80934871]; [2514073; 22255957]; [59353917; 93173058]; [21278493; 68992027]; [33260935; 18121305]; [27139354; 87001722]; [29625347; 68363767]; [35778175; 4433169]; [87345252; 94943356]; [39983207; 99082313]; [34493896; 87969323]; [76158304; 75687935]; [95276553; 70476694]; [69979018; 76205186]; [72727127; 85335410]; [98893495; 58569149]; [85493900; 19582995]; [87402700; 86614784]; [62993812; 45835699]; [17716533; 40790425]; [60872261; 53187736]; [82795012; 12325941]; [60677295; 71766558]; [49702744; 64700520]; [27706670; 12198709]; [90461850; 74765279]; [74989579; 22800736]; [26008647; 83200711]; [10483102; 88237053]; [55256388; 38845598]; [23542275; 73017520]; [32699704; 3934154]; [15678809; 8380148]; [98453833; 48702512]; [87603127; 58579158]; [81560758; 54359382]; [19949120; 69520000]; [43390277; 78439475]; [34105937; 83239544]; [60986465; 46176426]; [46351561; 60244999]; [35505319; 52771163]; [69020980; 70407105]; [44985367; 84335410]; [11033221; 87824409]; [80605976; 71149327]; [92127419; 90017497]; [30928461; 25986235]; [28612417; 38332682]; [34520004; 9592256]; [17995259; 65367805]; [54220821; 79973504]; [95767576; 71564481]; [49533140; 65981431]; [17207057; 55774718]; [37484091; 36791626]; [98971408; 8735585]; [59365820; 72168541]; [20453283; 90825365]; [39579715; 38132640]; [68297437; 26396110]; [19462591; 36334426]; [22411634; 1962833]; [25952930; 13341424]; [98175655; 98967607]; [55995620; 99659135]; [62008557; 57645350]; [34029443; 94553931]; [2756752; 70610191]; [71857152; 58574390]; [19977355; 79739932]; [86744977; 62646942]; [48780935; 5041967]; [18008644; 7144304]; [12602230; 42198692]; [13754678; 10467516]; [83321137; 3992940]; [5077036; 40162316]; [6069551; 83952097]; [29142902; 410652]; [34322757; 92667952]; [83430559; 55253871]; [77813800; 60380624]; [93948295; 87682139]; [55396795; 44744426]; [72435674; 68644293]; [68739054; 54392391]; [51567836; 23200029]; [93526310; 15727605]; [54780566; 19621487]; [11540772; 46114439]; [97417649; 62103401]; [86212730; 36973626]; [50249540; 9396562]; [21218945; 65529173]; [40674712; 60473327]; [44428087; 94823351]; [35966053; 72175090]; [92927423; 18775070]; [71299134; 91318375]; [81174329; 61670194]; [3910684; 31493433]; [14891027; 91706603]; [28712569; 59423681]; [6080000; 63053102]; [70147583; 85816904]; [40449361; 43924026]; [92588196; 95297376]; [37653172; 6305866]; [9049869; 88597853]; [56581713; 42287671]; [65885281; 52010798]; [43756023; 7050030]; [60930521; 79413200]; [63735570; 97701811]; [45517115; 52923433]; [82077347; 46738893]; [23199250; 2801416]; [50668059; 30825354]; [52946518; 20378306]; [28624912; 18556339]; [42175286; 24757054]; [57596914; 80675824]; [46198992; 12682646]; [72646050; 2992754]; [50042933; 45717713]; [7861808; 18881381]; [18916307; 41025936]; [95501758; 51285359]; [29531369; 29803672]; [95619813; 9245661]; [7437209; 3821816]; [47826901; 45106162]; [46279384; 63048861]; [40484301; 98449948]; [3972998; 32110887]; [21130344; 74533417]; [84124432; 7856965]; [14216031; 64320163]; [57384813; 33887018]; [53744387; 51351879]; [43192895; 54897257]; [6113607; 22279306]; [59270213; 34165544]; [10585150; 29991889]; [78181293; 29396895]; [34013323; 75752898]; [35813587; 14326706]; [56458120; 8626763]; [77731275; 26837065]; [91899915; 59817396]; [98037131; 98237296]; [40380141; 32896147]; [52165503; 70838488]; [47583954; 9513021]; [49871507; 59831660]; [38745326; 61167816]; [10446678; 65131086]; [91391412; 67870389]; [46307128; 82759341]; [59700135; 86677636]; [38041074; 91707834]; [46227685; 32216663]; [40721166; 53440770]; [2571351; 62360506]; [91872861; 1769997]; [40014081; 75109692]; [27834542; 93740205]; [55519028; 83702846]; [1792026; 76315377]; [15839576; 71890776]; [33502199; 52373012]; [18425136; 11455620]; [51046095; 22486074]; [81717982; 13623553]; [13089882; 77457486]; [39217290; 39298687]; [16586565; 8994173]; [52694935; 45988991]; [47389184; 36234070]; [55152240; 4967098]; [3663833; 82504715]; [32051694; 16156898]; [68204802; 53804161]; [44974158; 51186201]; [69063113; 78395205]; [36860399; 69824615]; [85153212; 51139164]; [55919928; 6712855]; [24564788; 79339350]; [71057609; 47743306]; [8574315; 77985908]; [99993949; 1503934]; [56148412; 76099321]; [41867905; 28354461]; [81650534; 89733654]; [79264771; 4424393]; [43620826; 56263164]; [18942204; 90828674]; [44920663; 94020204]; [79912631; 59005514]; [53010337; 61704947]; [15397704; 7334616]; [39251041; 66831653]; [88290862; 83494155]; [64043833; 37238771]; [10411421; 65241839]; [16535170; 1035506]; [87066669; 45719346]; [75980098; 16035389]; [81278128; 23242146]; [7612174; 83320935]; [30753785; 59984390]; [13589079; 32417222]; [65626388; 242390]; [57495029; 68582627]; [76945279; 50926358]; [14057957; 51973908]; [25186060; 14466064]; [76226924; 26104004]; [93574598; 54496579]; [35692825; 7693326]; [22749488; 61377352]; [24398596; 28861116]; [89799673; 20964870]; [32706583; 50655611]; [79616670; 74276399]; [90471906; 55489062]; [99465080; 25432449]; [91104402; 86044943]; [56967553; 74038774]; [21540351; 24735551]; [23666699; 19234476]; [27284495; 77304298]; [92165194; 96778224]; [87685609; 75036394]; [81353136; 26449922]; [36412488; 88607761]; [49252746; 90635345]; [2094542; 62333651]; [25538551; 54637251]; [77912528; 52901417]; [10128315; 30354952]; [2545064; 65638359]; [67355262; 79815448]; [62986397; 60070080]; [16424284; 9038848]; [79115843; 25183955]; [70821342; 86362854]; [18025315; 71708722]; [20885898; 2592156]; [58559714; 79280481]; [14220820; 93129069]; [74626811; 41579498]; [28056318; 79103689]; [75127581; 40670724]; [5026639; 79289151]; [34504410; 20981503]; [26834892; 31227577]; [10630051; 93851920]; [43607692; 81371225]; [55954014; 90201563]; [85310360; 77803971]; [43295347; 26507533]; [32541636; 13630637]; [68469921; 89298755]; [34804562; 4918585]; [56443818; 36424388]; [73807110; 5168118]; [64324119; 71451056]; [77475050; 2324337]; [5587417; 33919088]; [11686078; 24996149]; [43896933; 516104]; [6980551; 65124470]; [78143163; 62798782]; [67393703; 60393034]; [13604985; 61893036]; [48444599; 54403258]; [51706951; 85499602]; [36062336; 25784115]; [58280718; 89116696]; [67560838; 78925285]; [90686948; 68252009]; [79149402; 74924370]; [48676202; 42434628]; [69173370; 3633483]; [42517173; 35691689]; [35378397; 43197391]; [88688078; 91131313]; [61928840; 51214702]; [34706378; 53173743]; [79277107; 46300309]; [80616754; 10873654]; [82036453; 90058495]; [88858565; 42556763]; [89498812; 33621883]; [42178938; 44077485]; [80548917; 17913010]; [94286642; 70680810]; [31350148; 23573667]; [555947; 64246200]; [77000703; 35923221]; [70922357; 59262431]; [28914921; 62087187]; [32054285; 19238378]; [90774001; 27982166]; [45563611; 10496378]; [75899442; 88141867]; [98782128; 22117136]; [52779572; 29938297]; [53896800; 36669012]; [16734277; 42183144]; [22021108; 46852573]; [88455350; 82895551]; [60567917; 13905345]; [38566504; 14129148]; [39644724; 6293011]; [56397822; 6236748]; [27732530; 54397476]; [1804609; 70235155]; [74061977; 84167230]; [75104308; 4831513]; [65777118; 20584324]; [34513170; 27333648]; [49809608; 92419385]; [53260426; 83220120]; [75773960; 93210889]; [22690095; 56600241]; [52377456; 28552770]; [87943782; 23618970]; [82213150; 34120380]; [62886954; 90682202]; [96066577; 27193321]; [35446901; 35585149]; [39487005; 84028774]; [95692538; 98552974]; [24761302; 6544820]; [55295062; 60285071]; [32845826; 95674408]; [51380672; 50444294]; [82803910; 10231329]; [20531052; 23091478]; [32882762; 61029396]; [54322824; 2369438]; [44879108; 36883867]; [91111059; 46026717]; [13256448; 11396290]; [86223176; 76966755]; [58467186; 47660053]; [94528676; 61797326]; [3959828; 9244049]; [47608543; 22063719]; [87010162; 53768847]; [24657664; 73900551]; [58047415; 40081497]; [15230383; 79231733]; [26799037; 46120954]; [39871812; 12733435]; [20246260; 42545412]; [87820425; 73022054]; [95517193; 43336233]; [7608931; 45500755]; [46904286; 26428120]; [93732832; 66949778]; [43219094; 47524887]; [56251458; 72187637]; [5366581; 94624153]; [61602686; 72032771]; [53444620; 54867465]; [48200837; 43488222]; [82108123; 65922116]; [33010782; 8965865]; [44232030; 77378876]; [59208236; 26730245]; [62122905; 23212199]; [49878598; 57807480]; [26629665; 65721066]; [74347364; 18942180]; [89776908; 72656663]; [33449898; 6619359]; [78744136; 39941484]; [27717382; 26818036]; [69887843; 41352083]; [33957682; 22665422]; [36347906; 50208311]; [10286799; 34960774]; [41778971; 91037503]; [713678; 16751671]; [66469776; 83939350]; [8178922; 5551557]; [36039502; 5901067]; [38227047; 95247480]; [26837711; 80117376]; [41003082; 47189267]; [37237158; 45896185]; [44586897; 51702862]; [67120115; 91003954]; [64805604; 4090828]; [9832949; 66514185]; [46258109; 44550771]; [35536587; 69828799]; [69597820; 79029545]; [62674703; 42271598]; [56165579; 66196057]; [57332797; 78973945]; [99480158; 18611706]; [18570231; 68005122]; [58905822; 94766847]; [18651351; 50259217]; [12366890; 38029355]; [89729584; 8388043]; [52426672; 57365753]; [48953132; 33032939]; [45772229; 7160401]; [56139591; 85038865]; [2121882; 94763413]; [53444529; 22504026]; [50832804; 85931464]; [66857780; 87761499]; [39907805; 87264114]; [31954474; 10400370]; [40324603; 97497361]; [57974809; 563185]; [78725057; 75417601]; [52890916; 62928230]; [36236839; 26309459]; [35890680; 6831588]; [61297055; 25769546]; [33120941; 7192819]; [61721859; 2098203]; [22783778; 9912898]; [24419971; 86006584]; [63711810; 14897628]; [24022746; 19100933]; [23923154; 33524221]; [3746033; 80042836]; [60365132; 23978358]; [49087915; 98141068]; [35114935; 58273881]; [28074566; 25540811]; [37042488; 25604518]; [78197081; 83612660]; [7173892; 99004982]; [16189258; 94234476]; [82624062; 42128222]; [70976768; 36404175]; [31626822; 61440270]; [32421212; 68982003]; [40430496; 50956580]; [21730568; 2896063]; [11296838; 67908303]; [7948455; 77392405]; [16490103; 65575099]; [36126465; 95389629]; [3407488; 93995100]; [37923912; 89242113]; [79523587; 92528373]; [95105253; 73121147]; [38468718; 49801982]; [52162274; 29847080]; [73713632; 13536191]; [94186773; 37247068]; [38742239; 12471714]; [7389818; 28690772]; [99149044; 99015086]; [9640130; 18200213]; [32117966; 1202719]; [30148209; 46003662]; [40411771; 58498090]; [19743889; 6686743]; [67400867; 66534786]; [42970289; 62502152]; [74942277; 47916177]; [79470748; 55995454]; [4177945; 52888569]; [36098109; 44876280]; [63673757; 88663369]; [74912829; 94282530]; [68406961; 29797417]; [11748756; 94724705]; [32814779; 62710951]; [72712625; 39414508]; [51701417; 9089971]; [12089732; 24713163]; [4198253; 41504174]; [24052517; 99865040]; [38290704; 63434274]; [65708077; 95366714]; [46616380; 65837901]; [42934148; 21330152]; [9727439; 46407987]; [37818143; 33486164]; [24942985; 23981322]; [73647728; 69349010]; [90677205; 56151578]; [46448123; 78935418]; [7432239; 79024716]; [33677342; 86874256]; [99021310; 86456525]; [92344356; 99401854]; [21126781; 91333953]; [11921555; 79998608]; [44037634; 11184215]; [70251784; 97155996]; [8779852; 32600673]; [22364351; 56688380]; [58292611; 8187958]; [31598632; 49482586]; [42212252; 23191337]; [51898284; 32972766]; [19536627; 98653300]; [19125261; 59730205]; [71648518; 30634155]; [72682133; 19025133]; [43023055; 1717735]; [16261883; 73487994]; [21508676; 49031978]; [94394814; 20422948]; [34515548; 10086625]; [59070652; 3485481]; [60741461; 1974741]; [33891546; 57403167]; [9396915; 66104013]; [24223189; 78962655]; [24663678; 21264856]; [52250757; 72997565]; [93394805; 20354602]; [15428192; 82017143]; [67338828; 46237332]; [85839321; 31611806]; [35577391; 57838767]; [55018783; 2297710]; [78625051; 33631841]; [23523928; 50907868]; [41932040; 32844622]; [92017305; 60524082]; [68579303; 58311372]; [61886662; 49666153]; [92269123; 40541366]; [44331115; 95383687]; [45642798; 86152837]; [47032034; 42702321]; [92014477; 88263183]; [34457964; 52420231]; [29895468; 28818233]; [91917186; 98535079]; [66382075; 52781017]; [35929070; 91945523]; [88508477; 97739843]; [64289255; 58003547]; [69088263; 21336313]; [23154488; 90099382]; [55242424; 98528722]; [79864639; 26973867]; [49647534; 35810442]; [31024650; 19368648]; [33255036; 49744251]; [54893362; 41560772]; [89108080; 97637459]; [62048014; 42080278]; [34504189; 9493755]; [85558000; 51325333]; [511320; 46702003]; [55855897; 65405404]; [73583128; 64174523]; [15650341; 17794617]; [2659592; 50291241]; [7746276; 33721506]; [51945388; 23846948]; [49183945; 97870845]; [40617907; 64327660]; [16855332; 14178280]; [96625081; 61743250]; [89413810; 8861364]; [73172409; 67959146]; [4891994; 72358746]; [29103546; 56841314]; [70825956; 71039729]; [29412625; 95701616]; [41074938; 88661492]; [48630438; 70891969]; [73708661; 56416802]; [14995823; 72050755]; [29684903; 96937336]; [45092224; 28690253]; [21881313; 4232377]; [33442123; 78573965]; [48077386; 13157321]; [7345594; 23908370]; [20550093; 42987798]; [8114631; 69620972]; [73401470; 92493742]; [41690442; 27446427]; [71530393; 47043482]; [96302422; 22452839]; [48039746; 9387800]; [28185964; 39587523]; [49051547; 476639]; [16504988; 93104070]; [7511459; 58659799]; [28096442; 21162742]; [416540; 6554769]; [42793702; 30370893]; [26442533; 84253617]; [90288960; 48812590]; [90907691; 35862766]; [11108729; 86180935]; [86504344; 66982541]; [2128449; 92798562]; [95060434; 35372079]; [87154972; 73586348]; [1955920; 66728157]; [24780944; 94800165]; [40355281; 71363208]; [31735183; 81898795]; [68725579; 12500456]; [78709413; 72000648]; [55388877; 8152493]; [39045401; 27406556]; [14972609; 74136665]; [152005; 39306114]; [73636455; 12403842]; [26404665; 52886381]; [3989408; 62736515]; [49776945; 37706577]; [97204461; 71102610]; [63853159; 92404312]; [71271383; 47549057]; [72156662; 27855569]; [71680558; 6639248]; [59604481; 54847341]; [22592704; 53029551]; [39082509; 93150366]; [89025809; 26999992]; [31985768; 89420206]; [13412661; 76638066]; [7705925; 41021431]; [972600; 61859904]; [39846434; 72239361]; [14312907; 69997623]; [39934671; 58576218]; [36991722; 19398722]; [50923303; 5866222]; [37308013; 75009636]; [52408268; 74830609]; [75414927; 94852973]; [76042591; 46754816]; [60562901; 92221191]; [37284983; 60330343]; [7637646; 13487670]; [13782295; 44278749]; [92848276; 95585565]; [33295828; 27521797]; [95388797; 73691463]; [21861052; 1541355]; [33974142; 22720669]; [32580568; 91311543]; [17244638; 96798746]; [33737214; 73406876]; [70119935; 74214671]; [68023143; 35539451]; [44406326; 19886936]; [25864383; 43185854]; [60474889; 83815804]; [34878955; 50489065]; [29686229; 55678728]; [93250968; 15162424]; [92186937; 41687679]; [51729166; 67616979]; [60742197; 75097415]; [58840838; 99601095]; [70190974; 6156035]; [79625168; 22118176]; [89796140; 53124485]; [76946028; 41295394]; [73895255; 75749756]; [73842830; 12069123]; [94221702; 59673537]; [48063525; 55806921]; [86123095; 64428904]; [89322735; 46855876]; [64800489; 3172756]; [53169637; 14864759]; [40317680; 39082262]; [69706280; 53244563]; [6164165; 35590245]; [20288572; 17408680]; [35587783; 75428440]; [78201646; 53372731]; [23498122; 21807512]; [6657436; 54723578]; [90777683; 68197291]; [94645638; 80741652]; [2198509; 12991443]; [33577515; 56811645]; [12633628; 42659836]; [64125995; 41628166]; [5458133; 67716913]; [64978550; 61135125]; [14177113; 47003247]; [28130027; 56206708]; [30125937; 4185691]; [44595537; 91810718]; [28220504; 77387175]; [30736850; 40173399]; [7047218; 50346423]; [2936831; 38932842]; [89549640; 37201427]; [5550242; 83677028]; [44529549; 86139790]; [32264512; 5675206]; [27570600; 98804277]; [12587483; 22141769]; [3735486; 51811738]; [70790287; 82505892]; [81897968; 66481964]; [68950669; 87187357]; [69229076; 88259231]; [7087189; 15791323]; [43115263; 1424735]; [23151081; 59197617]; [42918045; 33050684]; [26471885; 58500070]; [40683133; 22682268]; [99720971; 64172663]; [71616027; 62464593]; [24006188; 73911680]; [2761837; 49663409]; [31046860; 73025435]; [81512558; 75741852]; [83752670; 36995130]; [90943313; 94279965]; [86201552; 85853604]; [37753818; 27760721]; [26216884; 69651792]; [25448951; 71683275]; [2829169; 52436347]; [3628499; 56086278]; [24687979; 47621649]; [89901085; 60030584]; [12441519; 62005673]; [46187144; 78625512]; [28946779; 96958095]; [17082584; 29567745]; [48115212; 12560502]; [25715995; 23735618]; [74819255; 57573619]; [4253618; 95832830]; [70280548; 56286709]; [3032514; 79324924]; [51543973; 38932509]; [30917882; 12530359]; [97726258; 48519299]; [92754932; 40277442]; [94049059; 90096729]; [14375807; 22040918]; [33562917; 10084169]; [7871830; 81056118]; [6921609; 38058309]; [75994494; 22999622]; [60735154; 15708532]; [34294207; 6456869]; [48013741; 26945005]; [12390453; 16504474]; [86994292; 25818192]; [5714184; 41670868]; [96749872; 81349849]; [44019265; 51952553]; [90523879; 85987792]; [17951932; 40058606]; [80645284; 16186973]; [13080993; 90947359]; [77990042; 68000303]; [7085556; 92111293]; [1059323; 4950785]; [20357094; 47122507]; [60086153; 70499490]; [47349281; 57391405]; [53822212; 5534230]; [18417575; 39824559]; [53961358; 66048440]; [43948003; 26944950]; [58999603; 47154082]; [39865553; 88273703]; [39679970; 77345156]; [21429183; 36156000]; [52267826; 96867015]; [98854840; 77627680]; [35594223; 72058709]; [45689954; 62657082]; [58025370; 66997636]; [29653602; 61616010]; [71065421; 85523201]; [58306490; 7276203]; [83538269; 4300060]; [26274278; 74895151]; [93310874; 62195333]; [31466176; 5436030]; [63662339; 44138612]; [98692490; 32860695]; [88938334; 34840054]; [21485421; 35453007]; [63876361; 77069574]; [19728855; 48748991]; [42105069; 72717110]; [53260196; 41996982]; [56759130; 18280416]; [50275072; 67066923]; [71440645; 33653952]; [54589252; 66708589]; [29535792; 46566845]; [85785359; 66223854]; [42532434; 10237830]; [49837160; 52832421]; [46616930; 74664528]; [1562707; 18957397]; [92854676; 8490033]; [37066705; 20353067]; [98141113; 63462425]; [43239093; 81264552]; [42694138; 83239793]; [30121531; 32724733]; [95612114; 45940543]; [75881101; 62891482]; [64574544; 2175788]; [82421760; 38464306]; [99802148; 8897032]; [71992615; 13272476]; [71605440; 75302870]; [94089574; 44583120]; [67472557; 25320826]; [83770830; 19175292]; [16706547; 8194554]; [78018187; 30227231]; [86315856; 33071645]; [1298274; 55876362]; [47930527; 64614652]; [2986382; 66116867]; [63190659; 895539]; [72675126; 12134852]; [83250831; 71381054]; [8906363; 39439809]; [64187254; 15056584]; [44134477; 78239710]; [27298470; 21794935]; [60229668; 8754557]; [48587499; 33098919]; [61054201; 18352397]; [53277682; 5231083]; [67619519; 46464657]; [57885113; 74750364]; [48446746; 81727548]; [97378827; 21783672]; [84747943; 98327764]; [86398238; 40880533]; [35628654; 44307852]; [61748991; 99218222]; [29055549; 95999760]; [78845625; 69504976]; [5352747; 4854766]; [80593170; 32394468]; [91728733; 86690481]; [53423965; 6690316]; [33614214; 46947751]; [43512178; 2487639]; [81512727; 84530883]; [11391583; 41563420]; [26725200; 3819167]; [8268030; 80954602]; [94782715; 1248844]; [1033273; 9047114]; [82446079; 33906178]; [72453522; 30570559]; [55615448; 71636156]; [74342569; 52605452]; [63850794; 58038773]; [67902190; 44393238]; [50690194; 19795796]; [28810704; 47239672]; [78814721; 43642842]; [59374420; 80193291]; [24235587; 59101121]; [39272941; 7669449]; [15972175; 12486606]; [38634804; 33059801]; [11759788; 54453190]; [91824042; 8610091]; [44432638; 75469854]; [35776865; 32710439]; [94098231; 58104769]; [9147468; 92338423]; [40184645; 89889905]; [63171199; 74565312]; [89365483; 97722575]; [51841728; 62887345]; [58412593; 69993127]; [79562145; 97413300]; [53134835; 28223750]; [44929699; 64585841]; [9474593; 66677693]; [30934329; 66391002]; [64850965; 30136785]; [6132341; 22337832]; [91263218; 2813241]; [88580156; 13160476]; [89402018; 29204285]; [87945567; 24525009]; [85288401; 14838037]; [52490709; 56240020]; [52585390; 80055999]; [56945721; 54737174]; [57202297; 17303107]; [19146462; 60763312]; [50506890; 11743128]; [93958390; 47047593]; [61584749; 88677437]; [79644603; 21970344]; [44580116; 64327701]; [71503632; 39130952]; [66348350; 7794163]; [21959573; 80765961]; [72796404; 85838897]; [22906115; 74984154]; [55507663; 43207168]; [83894574; 37310182]; [77012366; 18254052]; [91685255; 95145798]; [34148077; 48665332]; [69122791; 23852703]; [41928499; 58233192]; [9765857; 45951215]; [43613466; 1442223]; [95025413; 13135085]; [69329665; 72937910]; [20172473; 66688272]; [20306379; 60506783]; [57842863; 28108200]; [35705251; 9549714]; [61192265; 26671797]; [80188403; 97156342]; [30173078; 74484059]; [95832; 51440660]; [87501284; 16348521]; [44559191; 2750148]; [82867455; 65440277]; [78404866; 23624923]; [56736888; 75101178]; [35600121; 25230156]; [26963475; 45618630]; [70393846; 91630576]; [11749053; 73770047]; [38027391; 97510477]; [34775227; 67334823]; [82309611; 59670123]; [30481281; 57073229]; [6561676; 20661512]; [22010854; 65860792]; [86882704; 90465408]; [90016755; 92902802]; [33960966; 27527840]; [87324230; 24919776]; [85121228; 48556330]; [45741434; 11391527]; [70022680; 57779201]; [70749220; 83641027]; [64795331; 32663480]; [31459083; 43270165]; [79137836; 25170942]; [72894428; 40511955]; [66495369; 66630540]; [48549660; 31136223]; [94941414; 93869881]; [42862908; 20779417]; [8149217; 90296058]; [54098629; 20650614]; [78858936; 40093192]; [85908114; 38909319]; [37152066; 79146558]; [60061079; 47566488]; [38460841; 29081481]; [73280116; 46215100]; [76148356; 78121648]; [13614369; 50684732]; [88387964; 21090368]; [57693779; 27953165]; [22370832; 33230330]; [911681; 78221401]; [48755613; 49048438]; [89258754; 85380263]; [82487737; 13737964]; [53299975; 84913539]; [94615656; 329781]; [74552434; 16542876]; [19810309; 71820103]; [70513643; 96418334]; [16912908; 43356285]; [24575340; 36687749]; [96138844; 23865146]; [40028410; 11414297]; [4912882; 35680796]; [86029734; 34952710]; [93058756; 55186970]; [87945140; 84031505]; [81767271; 59108536]; [88002690; 7217671]; [46394253; 16796656]; [61926616; 8502085]; [90639242; 67566859]; [99445577; 2387766]; [75237412; 25771128]; [26650905; 69288285]; [15864534; 20272560]; [78821737; 58510462]; [89649018; 10880767]; [14564362; 37985624]; [77712636; 77291795]; [1328043; 71722096]; [76691059; 19738457]; [42030781; 96596224]; [75972884; 63400041]; [1711263; 46713627]; [61415020; 60289418]; [12143901; 8582939]; [59397865; 3035801]; [97006429; 34944476]; [22037511; 86366771]; [34053437; 50611500]; [75430986; 38899860]; [26483959; 80533872]; [44757599; 41825084]; [35090077; 96811747]; [75184934; 52257169]; [35248241; 2798371]; [58195532; 17971296]; [5135306; 96395396]; [69736806; 49880423]; [90463047; 52898613]; [48119020; 82018539]; [43638435; 90231605]; [98688687; 83635843]; [37384334; 88346106]; [18130470; 57404101]; [16632157; 71660220]; [57426973; 91265818]; [50437041; 67923890]; [40398331; 29515351]; [13005901; 7968441]; [84018005; 21909904]; [22141215; 90409293]; [71231398; 99421969]; [84683764; 57632661]; [93985426; 52052499]; [48930738; 48464900]; [97938412; 85078730]; [56121393; 76063020]; [76733438; 99371059]; [44655883; 4352724]; [26876728; 2021059]; [87300759; 42421857]; [52655761; 18928094]; [91262882; 48918568]; [10067524; 77238436]; [36533470; 16415525]; [34049015; 55379866]; [39445744; 17588957]; [45373604; 91622136]; [16287463; 58065897]; [20523367; 27614851]; [8316368; 28698662]; [9150163; 88772306]; [4189147; 29212392]; [96975351; 80041310]; [83443606; 39790515]; [73284731; 41928718]; [92859053; 86431541]; [40504787; 65506833]; [7346671; 11550305]; [74244004; 33480364]; [73445962; 95822027]; [63999008; 59259307]; [75430055; 14828528]; [66121439; 76983621]; [37497896; 40532241]; [42253501; 5110205]; [7738991; 48578096]; [8393062; 59812219]; [43685434; 7443103]; [29159230; 66247071]; [20753769; 28023366]; [75242508; 8327023]; [2084655; 39511980]; [30657242; 14527150]; [22446007; 92303431]; [28659243; 52491007]; [69567673; 25543309]; [84316584; 76249085]; [6304110; 98924627]; [24771789; 89416062]; [67791138; 51849243]; [26302560; 20610753]; [94521150; 45386582]; [83535571; 16215706]; [95236224; 36150734]; [757879; 35947924]; [93135028; 44272868]; [77722462; 40575193]; [85931918; 20335123]; [73623653; 49275953]; [13294815; 58404286]; [6286296; 2511388]; [88549915; 26718556]; [8701130; 29679316]; [21927198; 77505901]; [1406209; 62518823]; [63523428; 86070130]; [6075728; 30397611]; [14431870; 35867457]; [68725447; 54090095]; [5141519; 8373786]; [66358064; 36819371]; [78735432; 26665804]; [1029596; 78161505]; [26803387; 66540058]; [21045991; 65453614]; [85061892; 26569490]; [70425621; 32974574]; [13600220; 817081]; [66288419; 14929429]; [28388079; 62967348]; [34551773; 1601402]; [25909084; 28711204]; [17546697; 1729471]; [77678073; 59371038]; [66553358; 28378200]; [2465269; 75991825]; [95667427; 63206739]; [71656201; 28546635]; [45321457; 2026207]; [52124768; 87955308]; [6452368; 76579897]; [7531326; 15802319]; [23794767; 85338106]; [3055693; 22403514]; [85582398; 3681908]; [66368240; 21534046]; [9252008; 74465618]; [75433144; 28099862]; [54163449; 29808005]; [96687129; 95808110]; [23858902; 33441177]; [91681089; 40190921]; [52605785; 45330436]; [8007923; 40156189]; [62917390; 65598119]; [37456514; 45182473]; [84710660; 53929750]; [10178150; 54748403]; [67802633; 17759493]; [59367663; 12637573]; [3632327; 45375902]; [59412559; 71815550]; [42593412; 94095959]; [17052529; 16460288]; [77488168; 71125721]; [43364886; 60325539]; [55082732; 42098275]; [31036495; 16682231]; [15671303; 71328146]; [63094061; 86328474]; [59925894; 11380064]; [86415286; 14504872]; [48279896; 18977359]; [21815875; 93900982]; [52156770; 78617510]; [38074685; 80828793]; [678662; 21526980]; [23105023; 64950450]; [17848966; 70202342]; [85852196; 23822869]; [49043983; 21524836]; [36085759; 9102619]; [59767500; 80403809]; [52212383; 64692076]; [84912389; 48197713]; [25801861; 43370244]; [77986794; 81886061]; [99818853; 60955529]; [38402025; 60233029]; [41445899; 80168905]; [7965472; 92843088]; [55920734; 86482476]; [57416607; 45719165]; [1439203; 6841075]; [51636541; 94740487]; [10327339; 2379217]; [17382145; 89025108]; [78405881; 18706149]; [59162609; 53058411]; [56392170; 25348653]; [60764210; 21631943]; [74058959; 78056614]; [95551482; 13361882]; [31799708; 16755457]; [78374721; 51218310]; [82464467; 45066182]; [43496006; 9836067]; [69911971; 54917673]; [18976493; 42358703]; [50059494; 66645737]; [33370449; 54689342]; [46187886; 17640559]; [61662974; 13995226]; [53578666; 8944372]; [42201912; 40542303]; [94139843; 23314712]; [82185297; 48515051]; [53154266; 67233250]; [87569955; 42557008]; [158628; 15048923]; [44234029; 55861047]; [41078910; 18047962]; [65484091; 43139713]; [6898119; 75396930]; [49384717; 22938946]; [42933180; 16794429]; [29557736; 44102898]; [94499948; 66703685]; [51284718; 54173935]; [34561626; 28306886]; [9422703; 32268319]; [84334450; 49071636]; [43756303; 37363954]; [52202133; 27915824]; [50281424; 71260463]; [426594; 64370602]; [38966975; 47813749]; [96820524; 30353618]; [4435496; 98755517]; [70154002; 28571031]; [66331244; 63978327]; [52184169; 57157206]; [29670660; 98605152]; [3544597; 56999327]; [74927608; 24676101]; [46390207; 3693391]; [36614008; 39945538]; [45938327; 18830294]; [60142602; 31802241]; [88298936; 59842975]; [71837369; 94982999]; [54797110; 92877013]; [64499391; 52996468]; [57631672; 61535813]; [33588734; 67282107]; [65150111; 59273365]; [48370994; 75538167]; [31216067; 56666773]; [18772779; 45373956]; [92281836; 44569251]; [30515211; 23520973]; [78639978; 89342742]; [83931550; 41803369]; [54765868; 69584697]; [29707105; 45058897]; [23509680; 6224847]; [64521485; 36433501]; [72015731; 24764680]; [15677103; 71870598]; [80431230; 70758563]; [27158; 70036308]; [47687164; 62175780]; [62927330; 9178192]; [25361828; 66398651]; [31921792; 77655077]; [62075195; 89352241]; [52418727; 8578317]; [2412379; 99606081]; [39719133; 21975130]; [56356475; 45241739]; [43812715; 73753403]; [12018814; 78740046]; [85130091; 59821848]; [24559963; 36534576]; [85025176; 89599736]; [97459767; 99227571]; [75124290; 34227270]; [43764113; 97011837]; [7063606; 42438927]; [76091667; 54605424]; [6684633; 27050368]; [76157970; 36838920]; [1618198; 77242704]; [51647223; 93937707]; [89124056; 12691798]; [6694193; 39888976]; [95863815; 79587884]; [23248907; 57549989]; [26806199; 52202883]; [89508974; 70217543]; [25760522; 20830559]; [34253126; 31053614]; [94236993; 38852217]; [51955754; 99011388]; [80143411; 48636518]; [79092392; 1843794]; [12582886; 42595272]; [39853318; 63805879]; [88829564; 80396704]; [53207143; 99065735]; [7472039; 37027450]; [57254705; 93022087]; [93823238; 43297504]; [68674978; 20606634]; [60815569; 82708499]; [16265239; 15154878]; [60905185; 80173818]; [79114923; 84152952]; [99710483; 43032688]; [63374087; 88381051]; [82777973; 99123684]; [94085721; 34487337]; [28141044; 63199909]; [60484278; 67088233]; [47027618; 80448971]; [88589773; 491871]; [21516347; 36124261]; [31487531; 42778932]; [10810934; 4661379]; [41714938; 73721497]; [94298311; 23863846]; [43729267; 67109422]; [56033457; 38380142]; [6850528; 6856742]; [48922916; 88913066]; [95856241; 76050811]; [99515441; 94470077]; [24024449; 60137378]; [99086460; 22659438]; [549149; 76722634]; [8657031; 73355192]; [30625510; 90523222]; [28363979; 40792770]; [13412774; 19594830]; [35428999; 35350449]; [44936539; 74138739]; [66910695; 16562169]; [53164842; 42941420]; [69908060; 25823064]; [41587871; 47893470]; [66788495; 5072319]; [29315916; 25653639]; [9088876; 6197126]; [49692644; 45132052]; [35299768; 44361388]; [78997668; 37240000]; [57332106; 28689867]; [7424697; 93994289]; [70882758; 18122228]; [66452167; 52360096]; [37853078; 21829184]; [4232945; 90837235]; [6219091; 22453054]; [82558380; 57762792]; [48432898; 53387111]; [37083466; 35883002]; [553176; 98589413]; [82511851; 61429020]; [84212065; 51991820]; [1725978; 12395716]; [68549392; 55395341]; [10199409; 62565309]; [74499004; 48106413]; [85104287; 19207196]; [97926228; 75998691]; [1011042; 44456934]; [49407273; 79281001]; [53199372; 31257743]; [29194441; 47643509]; [75473886; 43205556]; [20444892; 71873942]; [70144180; 40723017]; [74929950; 85632948]; [92865216; 13298701]; [74642330; 37644746]; [68032686; 92135031]; [32300993; 1325619]; [1187224; 8629796]; [26961545; 44053731]; [12703172; 41117473]; [66510870; 1914786]; [2482255; 21621231]; [77500466; 97106425]; [51276732; 35624365]; [74605264; 5715612]; [67881542; 77788745]; [1300447; 43467497]; [73036505; 79284868]; [15145485; 59532208]; [22254198; 97977221]; [51711177; 96331531]; [40944898; 37153688]; [23072757; 53171571]; [52800915; 14905793]; [74278570; 49038300]; [41458501; 11284930]; [67412343; 41934591]; [77282637; 32120963]; [96272158; 42662694]; [27105383; 70797854]; [30568568; 23187666]; [2664172; 56971487]; [96748685; 62146300]; [92376992; 25987772]; [26726459; 26572536]; [51813122; 35806051]; [6511399; 7182107]; [12361018; 2316725]; [61221376; 35166480]; [17520433; 68494846]; [34485211; 98328422]; [71584003; 98635008]; [94631946; 97854522]; [32993612; 16567067]; [72042528; 31352763]; [17233397; 16239722]; [33985298; 33448876]; [90382170; 42748581]; [59696904; 51110311]; [34915801; 58293776]; [38286400; 96609439]; [92389645; 44352124]; [23192063; 79586567]; [43605061; 88978491]; [28570260; 7469015]; [81589056; 16034916]; [33168383; 87160453]; [48666331; 50751890]; [87505796; 99450139]; [94277843; 88345697]; [47336263; 43309254]; [4189919; 91432964]; [93157821; 40404170]; [48935049; 5902541]; [49579129; 58833389]; [23107625; 80669966]; [84706377; 74326296]; [21520342; 31046138]; [11993826; 11062631]; [36355295; 87508152]; [41272408; 64851942]; [38237024; 70432151]; [42848614; 54870205]; [3927917; 20452665]; [73697100; 2544717]; [46592155; 76012878]; [46822651; 21301326]; [98672730; 4175581]; [31620133; 91164654]; [17716763; 61764041]; [83073485; 35026468]; [5948352; 67549503]; [49194571; 58480426]; [89627849; 85735886]; [89044850; 37452441]; [74964459; 25264344]; [16734863; 15568910]; [3870369; 85241176]; [74116965; 23856385]; [31122903; 52367062]; [47947030; 23229500]; [72897561; 49153049]; [30851991; 46805972]; [11391530; 64801755]; [23814883; 98331096]; [94530464; 73004884]; [71706502; 63353021]; [20665872; 24493285]; [37418993; 96343629]; [78989873; 55296432]; [37656981; 90722233]; [9994865; 48152027]; [82978622; 82694085]; [96313243; 53582455]; [65022379; 35642539]; [5660872; 70948225]; [8093646; 53096356]; [62721394; 55632887]; [96396177; 80168717]; [6775125; 97255834]; [63903213; 70025718]; [12304548; 15558087]; [71342572; 96571151]; [68847189; 57252144]; [88432340; 11105087]; [25262678; 26968505]; [88814486; 48894969]; [34481720; 1754933]; [53189601; 34828218]; [6195942; 99049937]; [61494014; 60228209]; [52269237; 61461645]; [36970935; 16762008]; [18183448; 66133243]; [65591916; 79159437]; [39327934; 83413063]; [45111353; 16151650]; [42340433; 78994668]; [87540695; 78280455]; [27082941; 2781342]; [12719374; 9723319]; [72473510; 8289137]; [59828558; 65502365]; [93770224; 7291200]; [71430624; 6441436]; [51890742; 72562177]; [71887492; 40360464]; [50111363; 87669071]; [44366294; 56133848]; [55426451; 16860630]; [79214790; 86266076]; [70541954; 72659638]; [86339770; 10015929]; [99847013; 19566370]; [4096835; 90842183]; [1566822; 72942392]; [97632881; 55990233]; [41443456; 72975647]; [16643668; 11462713]; [2286102; 60994284]; [87251477; 67926464]; [80395863; 78947465]; [7775072; 50627569]; [76830844; 85108672]; [24868906; 91342563]; [88233471; 57013574]; [83932584; 45683544]; [54170542; 19224697]; [6129197; 7969386]; [69402320; 28790726]; [88833412; 72245827]; [42694921; 31719495]; [5939406; 89586678]; [56351427; 24946256]; [40933369; 43547593]; [10574048; 15907312]; [59241241; 6035344]; [22814299; 98709775]; [54802735; 67708364]; [97678907; 70091555]; [65497161; 28869686]; [42519361; 23264437]; [7365970; 50571519]; [54895850; 76427808]; [74332053; 1366384]; [31219071; 51538785]; [35728104; 19927829]; [85779456; 6047499]; [88110015; 55927244]; [65895400; 6425210]; [49565328; 17934625]; [30624616; 61857911]; [47745379; 7508913]; [58108995; 80610168]; [49398587; 26369635]; [67854977; 63680128]; [53684132; 67408405]; [75939549; 26639334]; [39836298; 49486895]; [11461136; 87980273]; [61664889; 98466109]; [27944037; 35179374]; [83270677; 39479188]; [99406043; 80821105]; [24704950; 22452246]; [57427889; 31048074]; [55078297; 46938369]; [3063491; 35830592]; [17289250; 11268898]; [59874674; 15472056]; [23299374; 71222249]; [54828459; 67596046]; [35401808; 25736507]; [32227323; 155371]; [70221066; 76308246]; [64493642; 3875994]; [57609689; 2986648]; [9512262; 58199160]; [99778815; 435745]; [29007976; 56031320]; [76039735; 58140964]; [14668705; 39797967]; [75181728; 6584653]; [68517588; 56857959]; [75966566; 52661972]; [311607; 3733220]; [57654752; 26281764]; [71436811; 58671877]; [85166461; 5805796]; [47192833; 17418059]; [83830392; 90611285]; [74913143; 61030484]; [39061220; 98206290]; [24801682; 91123731]; [8324724; 5768691]; [28194659; 44245051]; [89826671; 18082016]; [76188324; 66038440]; [37087814; 71172843]; [49280201; 14220359]; [29345449; 93889517]; [21797092; 13618962]; [93489471; 29319426]; [30843538; 94974638]; [3931642; 57583725]; [78947044; 6238541]; [57160148; 12768298]; [60588881; 53353692]; [68233996; 54321627]; [793178; 7078510]; [94209979; 59468028]; [1927589; 23754760]; [75116351; 67499871]; [67732483; 35875487]; [93168115; 15253841]; [85311505; 52803652]; [95614153; 2541886]; [10701669; 38854045]; [40501419; 56073972]; [62033967; 27688441]; [88467725; 60459326]; [82201921; 69483726]; [50381877; 19271183]; [72200702; 37301561]; [32727025; 79627840]; [86148189; 86357277]; [3646734; 35351283]; [42671545; 11982793]; [29448935; 96911073]; [35563289; 77858675]; [65539587; 51255448]; [98741395; 29931098]; [42290031; 42142263]; [24508407; 85676535]; [53015795; 89410510]; [55602287; 39951339]; [71688048; 17469362]; [91522885; 1482301]; [13449855; 16695384]; [87523412; 94740228]; [99594927; 44567567]; [7605973; 85567485]; [91799183; 17674214]; [33461336; 52055618]; [81994580; 49330656]; [50113481; 28543696]; [71656134; 95507049]; [31666396; 15602627]; [40266716; 55654832]; [709026; 41556015]; [44906893; 89446015]; [8188428; 53592894]; [28993340; 5561626]; [21779798; 26493379]; [82638970; 4373224]; [88886302; 79294681]; [66902957; 79403616]; [40363556; 11078501]; [53135612; 93964694]; [44559852; 72577243]; [7934925; 88374054]; [53838967; 6260433]; [79789591; 7652200]; [38448164; 29723301]; [8256282; 12641351]; [42387287; 91815542]; [27713403; 73185119]; [15029385; 94940185]; [22825999; 43230950]; [36516043; 67142225]; [46970134; 86426149]; [96280702; 58128028]; [19242811; 15090654]; [46049861; 500010]; [7513745; 34110092]; [62060638; 47528666]; [27798179; 76975766]; [77893998; 43088586]; [38230203; 24234191]; [38841261; 80546704]; [34614376; 59186016]; [67772060; 15236133]; [24883028; 18593003]; [86618883; 16336076]; [10685833; 52550022]; [10237008; 75685270]; [62448051; 14964044]; [71849766; 27582562]; [69080552; 45488525]; [72503548; 40204690]; [56051849; 74857189]; [21703583; 90880105]; [71225319; 13788261]; [76405066; 74996948]; [61114809; 23572583]; [98830356; 35597215]; [87872570; 33663044]; [13224206; 66976150]; [78985664; 15674194]; [47388930; 69433934]; [2117822; 52349940]; [93037750; 59713754]; [37729073; 31727954]; [22070170; 35565310]; [85637521; 13259938]; [72713668; 78827062]; [31760616; 70907617]; [69398954; 29720964]; [57905581; 19683228]; [81167339; 44136112]; [56566221; 44376373]; [35194009; 13799658]; [28138255; 79111368]; [88162292; 21951397]; [56931673; 88200193]; [50056649; 50493166]; [37241574; 8674061]; [85071598; 23007867]; [95530267; 15002267]; [98475324; 5691197]; [92454662; 13109917]; [35306060; 15322107]; [98314867; 83593645]; [9279531; 45971486]; [88042964; 74211406]; [68835448; 31415237]; [10633669; 92312840]; [52561192; 17969577]; [7306090; 31443462]; [90744212; 24725317]; [31753878; 45289277]; [15740323; 44200257]; [67477081; 14151861]; [11116279; 11822354]; [68111508; 60356442]; [34937035; 4526685]; [75405140; 61915445]; [47327877; 62198679]; [31375120; 72050324]; [89885861; 49587179]; [85176125; 88208960]; [74308947; 48725479]; [52101758; 8266239]; [50630739; 93813479]; [25622715; 2485589]; [27759012; 53890002]; [42288822; 65673020]; [95153366; 43089510]; [7255516; 68111305]; [72006259; 92937301]; [61713359; 79154085]; [8633990; 89045801]; [16061689; 17702320]; [22890137; 76114360]; [53358353; 94991902]; [76174620; 9877557]; [8785226; 71811042]; [92327118; 46888218]; [77257593; 62758494]; [23323661; 95558482]; [5607733; 32094433]; [48256411; 38138271]; [47748277; 80378450]; [57016119; 15201479]; [98454995; 4687219]; [27484045; 94558378]; [76425990; 70715546]; [87918350; 94608037]; [31188905; 34333330]; [87828752; 62116170]; [34191228; 19534742]; [35156192; 75029508]; [14802659; 80779453]; [49289464; 29292461]; [14293837; 25913567]; [6854288; 8366987]; [9383195; 65940305]; [44569226; 85555654]; [37386886; 28556920]; [53276479; 65425788]; [3327869; 46082739]; [52295383; 25460205]; [76647729; 83400709]; [17206262; 42632222]; [77107933; 1088863]; [25025978; 84199354]; [81932456; 77753596]; [95614165; 70150665]; [20856764; 72675386]; [7027722; 40894828]; [18325214; 4286430]; [26616372; 63699195]; [13141958; 57392722]; [96737093; 50915430]; [13763346; 90652654]; [43413309; 82760851]; [68341040; 38277194]; [96842427; 30447605]; [55012019; 52965638]; [36649784; 27690994]; [98716460; 32633650]; [47272645; 33783422]; [83391516; 22438101]; [1591341; 98385512]; [46210442; 57132742]; [22741437; 7874167]; [49506596; 16071797]; [77157123; 76410439]; [91002966; 61039019]; [52829357; 9661072]; [46613520; 75365023]; [65739934; 713495]; [48723220; 5512490]; [70829335; 2056414]; [54287944; 30583072]; [73497153; 44916382]; [19926215; 96979737]; [46938424; 5778303]; [84862408; 60416951]; [55710333; 66609156]; [81642353; 65007768]; [95933358; 95889962]; [50199740; 94767233]; [88254427; 44435584]; [47316621; 66282913]; [65666407; 1498420]; [62480606; 31167947]; [29544609; 51735929]; [85852826; 12239888]; [88687609; 79091099]; [38749097; 50095462]; [40990214; 53610264]; [59686940; 9151234]; [50697532; 13491264]; [30886589; 39437677]; [48136186; 90367405]; [86923450; 81282465]; [49241656; 46852333]; [39619902; 75838863]; [25111947; 84784617]; [49053119; 22973223]; [12778522; 42653823]; [32976725; 39062186]; [7701845; 69992006]; [24702806; 31622796]; [39028580; 49223691]; [50825523; 69171942]; [51647768; 26232054]; [93245087; 28121217]; [41935960; 48679788]; [53044244; 66268725]; [8324981; 15857902]; [32248021; 73582637]; [52465931; 67903073]; [90114408; 32025315]; [27415801; 46805277]; [92151271; 71498058]; [98123593; 7617802]; [11019797; 61154670]; [14394057; 53012285]; [49702508; 52356621]; [58959795; 58434612]; [49432983; 39526473]; [72178694; 82811484]; [99936347; 28817604]; [61246390; 54913184]; [27001676; 77953573]; [98707863; 78215299]; [27462978; 20247481]; [3169439; 78895929]; [50916902; 48588403]; [61427362; 42419240]; [50253831; 23776626]; [8917299; 46984604]; [29267190; 38085885]; [865528; 61415338]; [80964892; 5364783]; [7256219; 87211771]; [4811259; 95569005]; [13529672; 12397261]; [98627262; 86335720]; [8203860; 51359036]; [2299003; 97267643]; [10942071; 3172055]; [11720977; 61709170]; [56156110; 14734681]; [5909066; 70531024]; [6753920; 92647946]; [63965426; 92928176]; [1883256; 17294571]; [15527298; 60194050]; [86595650; 76112317]; [46194002; 51328027]; [76796246; 57287693]; [80428535; 18730900]; [71740983; 42493177]; [55152501; 67582247]; [58474796; 92967210]; [11816977; 46071387]; [71317667; 86594539]; [3624799; 10675714]; [20944621; 88029373]; [30365710; 49701844]; [88380315; 31934875]; [27461604; 74472163]; [92707373; 11059251]; [58354194; 28737163]; [51534825; 83732658]; [6857951; 50378999]; [32975016; 94538893]; [15911130; 8070500]; [64611863; 73846177]; [61680516; 40456333]; [99837634; 75180556]; [58383798; 67242914]; [29690085; 33239179]; [791300; 33505972]; [72196879; 25030060]; [5519041; 19094196]; [26840776; 37811270]; [66243299; 8267001]; [77747323; 1360745]; [14092792; 76113337]; [86905604; 60358493]; [50234387; 54225906]; [58195914; 87318657]; [47264762; 68398675]; [19201117; 75974661]; [45581891; 86737992]; [18168987; 19408921]; [53642269; 97467474]; [36837308; 76301026]; [51908500; 96169990]; [13321840; 66559972]; [76008209; 57562587]; [44783881; 26742492]; [20259739; 59808598]; [96972915; 65537920]; [95688402; 83347082]; [40246890; 92685695]; [17636477; 49003618]; [18192752; 45558542]; [52198283; 3075007]; [18758436; 83404180]; [36635060; 92615326]; [85681755; 38871490]; [22755385; 79116831]; [46299206; 76451413]; [24198006; 40376040]; [27126708; 52135832]; [72858463; 95621639]; [10618406; 12826329]; [53367959; 53678782]; [57973486; 44784294]; [2027101; 10086800]; [95365220; 59426216]; [58335343; 47733823]; [36710358; 73457173]; [86768114; 42011702]; [94103414; 12093383]; [66693521; 8454347]; [91467280; 62516572]; [2402659; 21223181]; [45566784; 91643681]; [61547083; 65044761]; [83350459; 35828092]; [63847156; 21671486]; [60986385; 10730598]; [41236411; 86561411]; [86068320; 4493207]; [13060575; 39051634]; [16882285; 44664449]; [93607795; 31097434]; [5225761; 20818616]; [31328239; 51874837]; [9291602; 16797764]; [83108662; 87799997]; [52775931; 97312943]; [39531510; 50814319]; [69313835; 69177660]; [10547111; 3338376]; [58103529; 66485726]; [44387317; 57609391]; [48378099; 53518905]; [10385452; 45069702]; [45406469; 73764174]; [10597714; 67432637]; [70384199; 49045264]; [33252691; 50993846]; [29213511; 49848410]; [41746101; 97609785]; [54578455; 15915280]; [21388822; 57225882]; [20194491; 79995685]; [56323931; 24356674]; [90618199; 71860063]; [46515440; 653690]; [74827607; 27993034]; [97669631; 17116349]; [62054511; 45321935]; [37255700; 85380511]; [49072268; 31002871]; [30849460; 64694504]; [22810023; 36967010]; [63022177; 94854720]; [33659657; 56662074]; [39458707; 71449892]; [8690438; 69498920]; [71886985; 50672396]; [11599936; 86780376]; [90917995; 49060539]; [99609391; 3681003]; [930389; 62753604]; [18927514; 86073867]; [78868572; 8768377]; [68439665; 47739984]; [81720630; 2734481]; [87380073; 28109799]; [87874212; 19909425]; [35106214; 72336195]; [84258137; 2183578]; [67677511; 13357735]; [76294965; 95275668]; [6772265; 71983895]; [700562; 12807652]; [59281291; 83281767]; [60183347; 50133354]; [94979132; 48696273]; [3580375; 62799249]; [21306002; 79213136]; [44329451; 41503989]; [45074605; 98901817]; [92798586; 77067199]; [19858078; 77069787]; [44011583; 65423315]; [12421160; 58958919]; [49379533; 13198567]; [95574295; 37240186]; [82757977; 44835879]; [1992171; 36643737]; [87005619; 84550027]; [50713674; 5828412]; [95896935; 13691583]; [90303399; 63039986]; [72606219; 64407329]; [86752000; 27896864]; [94093159; 79462748]; [94846626; 56972354]; [17676987; 47307907]; [71915303; 38139531]; [88469683; 51518981]; [68984954; 52328501]; [27221848; 17962171]; [21765544; 7843928]; [55907295; 14470466]; [47106701; 39148256]; [51027239; 30902764]; [31213090; 66384667]; [71512752; 59768375]; [36231310; 82854593]; [52713778; 59740210]; [39103249; 40986727]; [67769016; 47272990]; [21655640; 41887871]; [66823458; 34493061]; [88212028; 81829271]; [91378593; 49181338]; [12840489; 733836]; [44239138; 21145449]; [44565584; 36256727]; [23282124; 76462187]; [96030320; 70382056]; [77147106; 25918353]; [33455885; 47240875]; [72633908; 58037071]; [97321038; 92316189]; [69048566; 71341187]; [1192365; 49740017]; [92254235; 9100500]; [31837030; 99528329]; [22310146; 31836521]; [50511249; 77280752]; [68733745; 20170190]; [61132384; 63542836]; [10857822; 48588159]; [83665422; 45148055]; [64711212; 7356078]; [9513069; 9419743]; [37996529; 17422150]; [82574304; 78013687]; [58976717; 33324747]; [12587759; 90171939]; [60300817; 34565875]; [41745818; 14245791]; [19254048; 64705584]; [93687218; 74097084]; [77312012; 46936387]; [75395444; 78928100]; [65822605; 49504947]; [48587418; 39547321]; [54173612; 93478133]; [55687514; 12435771]; [45017297; 67296375]; [65438415; 27557261]; [63632999; 61231386]; [20160474; 53021880]; [59322139; 67832967]; [91184572; 30773847]; [66962590; 42548493]; [20318454; 49115026]; [95385331; 22828383]; [97876998; 13828352]; [5382902; 72373713]; [41459891; 18971668]; [33541051; 29945737]; [43895785; 10717624]; [11487281; 8404141]; [10916888; 41560623]; [99919720; 65569437]; [2231419; 54670832]; [5137695; 56216717]; [15098533; 11176735]; [13336096; 44628013]; [16335177; 86161488]; [99838933; 50399708]; [65278112; 63852179]; [9956643; 88475527]; [56639804; 13233668]; [41954765; 72570630]; [94217098; 91218052]; [34903772; 35531156]; [86139159; 10283641]; [59658399; 51145135]; [51636291; 66999588]; [89314166; 46778275]; [30893693; 43169299]; [23106015; 98127432]; [78512393; 93102123]; [54096413; 28342731]; [87471745; 88036564]; [20743274; 50539246]; [93777122; 5613597]; [66422858; 58440196]; [42707310; 69350748]; [91478933; 93325581]; [39917139; 8926960]; [77950369; 68716968]; [29142003; 95159459]; [84164981; 40283545]; [703777; 98583786]; [76722637; 59801659]; [16652749; 33478261]; [61976348; 62497305]; [99099608; 2086573]; [8811394; 1570100]; [80828526; 85368370]; [51293366; 55170445]; [77545877; 51636335]; [10434577; 48945432]; [87126058; 80200180]; [95449318; 14929074]; [18975582; 32761442]; [71873837; 16104763]; [3074288; 35618655]; [15542368; 20631272]; [52667792; 82693448]; [48454155; 8428109]; [49182806; 59801024]; [15406529; 13086504]; [79467322; 41082535]; [21458583; 3008525]; [23774683; 53883157]; [21535686; 20210206]; [59016705; 94913071]; [81178053; 52605002]; [55241212; 252523]; [76733030; 69069367]; [89277652; 46786008]; [7848210; 96113674]; [97927955; 80334406]; [69435400; 47735622]; [22233513; 29820488]; [54123814; 10747313]; [22229274; 80715833]; [58181126; 79754410]; [74356709; 38193060]; [87093413; 74469093]; [82677060; 85054561]; [55975015; 80667766]; [60241433; 93634007]; [26750765; 36988534]; [80269656; 87344299]; [53556415; 13389715]; [18917508; 10109558]; [18646847; 67217663]; [18180784; 11709327]; [1789562; 28071067]; [54004539; 71052224]; [82141342; 44479049]; [36732746; 28515912]; [34873354; 57669183]; [33133142; 57573069]; [73074391; 15316368]; [377670; 40571387]; [30800125; 5047769]; [62577890; 83152390]; [37026455; 90944590]; [34230661; 64650274]; [82261424; 35705997]; [97158544; 47378883]; [12560583; 522205]; [60015441; 441418]; [37104042; 94701273]; [37934026; 61153995]; [30641605; 51252336]; [67565945; 28281127]; [26035346; 63663531]; [23986746; 27154761]; [38940554; 39713811]; [40741554; 62991615]; [37674011; 74048670]; [77018064; 79460503]; [24980741; 85909190]; [38921661; 33400623]; [62412400; 92054440]; [9501227; 5586088]; [60745716; 8831786]; [72524185; 69909678]; [7455958; 95695732]; [65643783; 21918762]; [91538341; 42095373]; [93757611; 90639430]; [28643325; 54457748]; [732713; 82198165]; [75122808; 51273731]; [82247928; 96162145]; [1912104; 71414288]; [37584740; 88655205]; [1775411; 61892910]; [11508239; 91784126]; [93252534; 66161849]; [61789895; 97578437]; [84705803; 76543407]; [26724704; 25837902]; [98905805; 45554585]; [73015597; 97747154]; [90742657; 87313262]; [35728276; 72541008]; [56487118; 90065158]; [710605; 80177209]; [23380013; 91843226]; [1997941; 4438505]; [71818294; 30594982]; [64938526; 50989803]; [34187601; 74614961]; [55729709; 99982290]; [56166637; 60189370]; [66445916; 56877905]; [17666836; 75804927]; [27741114; 39254548]; [1287107; 52110119]; [34745337; 94488452]; [76490021; 33109306]; [36239530; 29892164]; [77877629; 70747331]; [74902003; 11849095]; [15199993; 91555325]; [94450552; 64131160]; [86940796; 95503670]; [89631550; 42760724]; [95951701; 68377364]; [28418270; 50232060]; [71511983; 49126237]; [43659662; 92211624]; [8225488; 6050138]; [11419103; 74952893]; [45439893; 70106954]; [41945514; 22973360]; [23221315; 65057221]; [95276435; 90733377]; [75752327; 82082685]; [59110478; 96175877]; [24835876; 59245631]; [9812645; 39549549]; [5625551; 55037126]; [27647025; 78935846]; [83942058; 74804037]; [15341105; 48502386]; [36411632; 34515368]; [88262372; 78968515]; [51638189; 52298331]; [41275378; 18776054]; [23706304; 42889478]; [64874784; 52425200]; [91608736; 64132530]; [92103537; 23274022]; [53093652; 44085780]; [64666755; 61799011]; [75785032; 78134920]; [89571955; 8627]; [43615828; 30661736]; [42297647; 32123652]; [79087366; 80395466]; [94605470; 79231885]; [88826242; 29602898]; [59811405; 48491790]; [22462727; 11744297]; [78304178; 30039023]; [87840437; 56192978]; [86348140; 14841145]; [93426078; 93020718]; [35549313; 64083745]; [79098447; 59459409]; [11602523; 20709682]; [24481037; 37632103]; [2283242; 6025259]; [33222109; 7884376]; [74775611; 217924]; [71939834; 22735120]; [36666129; 72957588]; [30086941; 31782197]; [83822605; 79760431]; [88315999; 5100435]; [38346567; 81913787]; [63689323; 81528846]; [54396434; 81189274]; [75921975; 8622069]; [69551567; 53136732]; [19694748; 1974377]; [84893991; 74044931]; [47596052; 48691640]; [11782518; 58270676]; [60277234; 30360612]; [91175614; 64645006]; [71461501; 61135301]; [12840944; 45295105]; [77092289; 8206897]; [54208488; 89141726]; [75260203; 2616754]; [48610832; 643542]; [92233813; 7264429]; [1135344; 5937431]; [55492343; 14555915]; [60102915; 12143850]; [68071126; 19773681]; [44843671; 89509114]; [20699950; 91046922]; [59280072; 99941818]; [67684460; 7561982]; [1758599; 83762449]; [23595261; 20547301]; [2822716; 79837835]; [83227560; 62280316]; [55436177; 50607746]; [3784710; 98269741]; [5041699; 51075926]; [16752661; 13696035]; [15900028; 20083504]; [8995336; 20274767]; [97986112; 11792761]; [32871528; 70532985]; [90581058; 71313344]; [10102452; 45013165]; [76494102; 31338988]; [65685611; 15077043]; [91167046; 6275835]; [38777406; 23055104]; [28970203; 21048729]; [33808605; 66984255]; [4037929; 64116276]; [48314528; 71006850]; [4283981; 77939813]; [77412529; 70354084]; [28240694; 60324761]; [71124117; 91032925]; [3945517; 56211617]; [30309608; 6016406]; [61382187; 75195275]; [10409360; 64718606]; [22393938; 9640972]; [80364901; 17302290]; [62292918; 63387706]; [16454469; 43779055]; [97632737; 54494080]; [22545603; 2868317]; [14629268; 31173728]; [86437492; 14149074]; [49158503; 89227297]; [85010577; 25556293]; [48571007; 18710779]; [50865586; 50714083]; [16844603; 78922237]; [40353228; 15266521]; [62292644; 98222609]; [47952292; 13758517]; [70542947; 30796145]; [36368328; 31539455]; [3492969; 41734477]; [73924775; 10047941]; [83915470; 6553659]; [101415; 31062524]; [56238305; 61506258]; [56274194; 62102954]; [29253781; 27492377]; [70551787; 30810659]; [61123491; 2587608]; [81526095; 58173568]; [81529157; 83187521]; [60299441; 89557684]; [53134565; 15574698]; [55041467; 66873771]; [24289889; 49258225]; [50356485; 55407558]; [24679619; 47403120]; [58745431; 46592855]; [44753688; 25487010]; [35165536; 82706956]; [48523293; 64064969]; [45704687; 2497447]; [75073164; 16202581]; [22284931; 92046956]; [33613576; 82509413]; [43215084; 12051179]; [24180035; 24901165]; [52916766; 41136456]; [18914912; 31594149]; [92233282; 75441928]; [97952956; 69686013]; [11889752; 37916757]; [83780870; 43350529]; [48289725; 23633460]; [91639711; 41092702]; [57742996; 97639072]; [78255084; 276457]; [32725974; 11073515]; [69815653; 55694947]; [95722895; 75940268]; [51419806; 86471138]; [65553164; 13953070]; [72761439; 73780852]; [55069096; 55142613]; [38160785; 75844328]; [92309646; 95759137]; [63433731; 57638824]; [90609156; 51550467]; [12826013; 6782658]; [61259247; 54985539]; [92748256; 75266920]; [82166401; 25372177]; [83055304; 18622696]; [37041395; 59682738]; [46839546; 33882817]; [92287613; 12265785]; [34303801; 41940326]; [31711080; 75804343]; [79305833; 98045270]; [15221742; 60178324]; [56819331; 51203226]; [80820413; 83600793]; [21561097; 88906280]; [28574616; 74956999]; [10369070; 15421533]; [8822044; 95718675]; [55292912; 11502404]; [30396296; 57031595]; [75524387; 77902465]; [84487875; 46960053]; [29333916; 31006979]; [66068657; 56887206]; [77203816; 33819783]; [53155477; 67237014]; [24522777; 61294992]; [1502599; 8250524]; [46147128; 51779975]; [55897044; 84565367]; [46826842; 99448065]; [42527847; 7098933]; [55231407; 61165865]; [13315975; 4035304]; [49405430; 66070901]; [11276662; 23156838]; [20171743; 50908473]; [319469; 82352107]; [70726693; 65336895]; [42796959; 49260658]; [91156604; 37904757]; [28573139; 759717]; [70360728; 80522940]; [20537772; 88909258]; [69216619; 46983179]; [92874466; 28635209]; [68938441; 78223890]; [89107321; 5662346]; [7635966; 98967943]; [90380382; 98021909]; [92148299; 96294178]; [86880190; 20113210]; [80416977; 83946522]; [8721103; 37838777]; [27445156; 270446]; [88811925; 57713758]; [45551499; 76595018]; [79729180; 86740990]; [88345592; 16259459]; [73285708; 74218975]; [18077472; 68033213]; [96236433; 89854206]; [47547814; 91605441]; [41402112; 91161655]; [7804760; 10033817]; [35870602; 65858855]; [80974954; 35033981]; [9119004; 1332196]; [51656878; 44119703]; [65743248; 81423453]; [20384672; 13149249]; [65008943; 16624757]; [51159947; 95763001]; [32867503; 10800345]; [20691044; 83241873]; [59053205; 93273787]; [29264874; 36857844]; [47488233; 80405167]; [84622719; 32002348]; [97134257; 94859373]; [44434520; 61904011]; [1623302; 97434311]; [80637783; 44833861]; [30575101; 7774387]; [14639475; 43864583]; [27836729; 63931831]; [22781420; 47427922]; [79798540; 45078347]; [80237793; 6516163]; [32408451; 23497408]; [28505095; 76178131]; [48229884; 22962065]; [1469570; 35931046]; [75747475; 31965167]; [83616204; 99557285]; [1432741; 80701201]; [82259857; 12596243]; [18350685; 92775864]; [63616202; 76111230]; [8459900; 86333219]; [60360449; 58915918]; [22015022; 97940174]; [23891836; 48656853]; [94490383; 34557939]; [36109488; 37787246]; [84474976; 81779412]; [63632519; 77473052]; [64867135; 39557050]; [95114881; 36862776]; [14745637; 63246017]; [52400; 79875847]; [23363837; 46093499]; [70766012; 12694383]; [79963109; 77931512]; [90312782; 33525678]; [74890094; 60108645]; [92360810; 34379772]; [45876902; 25768685]; [84193566; 16597821]; [15555073; 53335481]; [70444089; 99908510]; [29660415; 47276176]; [66931828; 96461588]; [78118164; 70009259]; [14607338; 1520693]; [83462290; 92890402]; [27965239; 94007492]; [68644789; 84767044]; [88965256; 85211319]; [14720102; 14488487]; [80865486; 24171812]; [5538535; 79876181]; [67305019; 52983236]; [51497603; 43698694]; [87934987; 73396128]; [84173986; 12956257]; [81046483; 63698669]; [76740957; 35133745]; [91619453; 97830835]; [61592489; 87428464]; [23980131; 58124038]; [29291409; 98523927]; [48837389; 32625304]; [72936579; 82122305]; [12803709; 10494206]; [27155928; 66441076]; [80026487; 55878019]; [68607454; 44210364]; [48187277; 89037164]; [71298669; 99647830]; [91387159; 75593102]; [70893876; 43461276]; [10353333; 9163656]; [49873070; 6946776]; [96003999; 15108422]; [16309999; 16522836]; [1051669; 66147792]; [37922064; 74246133]; [55404545; 76703279]; [62870812; 7412670]; [22504846; 43535349]; [55995527; 54413185]; [32146420; 21924175]; [7142216; 71855282]; [96598967; 21257739]; [45008215; 1092839]; [78537720; 50260267]; [88709017; 96397469]; [5714473; 46012659]; [96539513; 20000605]; [18603477; 31029541]; [49352582; 49410348]; [48903215; 30334270]; [31102644; 69473117]; [20530488; 65304882]; [38020211; 97162587]; [81217240; 23731422]; [37680352; 53826159]; [28443657; 32210671]; [54446726; 54491724]; [11684376; 57406362]; [74602645; 27902075]; [25765479; 5863963]; [37073629; 58960903]; [54766236; 78162924]; [39089803; 66656996]; [92585566; 50869681]; [94808971; 69802167]; [56776341; 60389395]; [29598120; 36486277]; [17091154; 42278656]; [66165195; 15338277]; [13476657; 82519180]; [99796051; 40808223]; [25223339; 87946398]; [94361938; 62140810]; [66095884; 15084928]; [75466888; 68073672]; [69531311; 83694452]; [13219793; 18313609]; [80861529; 31376]; [20018575; 42838395]; [66228898; 53653266]; [70111190; 56310910]; [87828512; 89925881]; [75647194; 89671746]; [63637657; 53892768]; [74328261; 26827719]; [70841410; 28396930]; [41801301; 61090057]; [17600242; 29352418]; [25093454; 43543074]; [11115991; 81348651]; [27878486; 18746353]; [77202252; 70186389]; [91899270; 79358681]; [945855; 63955869]; [71354553; 50683916]; [39996567; 16139880]; [51796390; 43617715]; [17318972; 70110785]; [2554174; 26480568]; [67071571; 82296333]; [56618134; 58724313]; [67359644; 46348036]; [98284311; 53303599]; [47750609; 86632418]; [15839295; 30213943]; [3810712; 36162402]; [20360916; 13905315]; [62696515; 57919740]; [96591043; 11866891]; [28981534; 35932054]; [95913893; 99685498]; [38899140; 5685575]; [34266918; 98603633]; [62463716; 50287298]; [49784320; 5208677]; [13413747; 53855596]; [10801770; 9029193]; [29296348; 92133394]; [84727969; 98031704]; [24473036; 22939373]; [58579899; 51840345]; [81600063; 8808244]; [84236053; 23788601]; [46616478; 45321260]; [12518224; 38936528]; [85351416; 85046192]; [77949839; 16383551]; [3723152; 31606182]; [60258599; 36813281]; [92655831; 87100543]; [28712109; 72772032]; [99540069; 80464757]; [57824264; 1304180]; [85014573; 1470626]; [68301211; 93724246]; [88834894; 73791611]; [19152552; 3347832]; [77565042; 86034282]; [46641890; 31879457]; [93665252; 49885803]; [6581998; 50382313]; [8437239; 15526724]; [97780986; 75852633]; [70891968; 59671406]; [2584843; 56080993]; [47089475; 33973996]; [66897741; 84438202]; [8202549; 50162263]; [1756687; 17144044]; [17931950; 28954089]; [91057763; 69272909]; [26630918; 44911693]; [45460442; 15960701]; [5993291; 19313413]; [14659168; 29868735]; [48416783; 69639124]; [93801430; 48390367]; [80282554; 4532516]; [27342551; 67184714]; [31491840; 50242263]; [22545032; 78355441]; [72852165; 72615721]; [44957565; 72652103]; [46756327; 69586530]; [87842224; 24637857]; [34954100; 3201955]; [65647184; 72002902]; [8139978; 85903838]; [58441884; 59067280]; [92738292; 28837424]; [56261353; 98733763]; [84577315; 10430392]; [22569238; 98915136]; [85879809; 86226471]; [52407463; 42323130]; [97984228; 51782096]; [60756229; 73107961]; [97160457; 40543063]; [37027165; 45762040]; [77069290; 37947747]; [38583244; 56336106]; [21235776; 50219044]; [90926403; 29480599]; [13320591; 7182363]; [72171010; 72861968]; [54703348; 64023055]; [84488784; 46349997]; [37064608; 68319319]; [3234927; 59294356]; [36216275; 94151884]; [8897249; 83801143]; [80469605; 32693200]; [74615692; 71299763]; [52056859; 33134864]; [72745624; 75497882]; [78652836; 87334382]; [34338419; 77944743]; [10736714; 3236940]; [14276255; 55256011]; [43822148; 21367340]; [67934096; 12217146]; [59335032; 7282246]; [20880181; 36419228]; [28843148; 53075579]; [97549570; 54720129]; [90475234; 89018066]; [21723902; 51196534]; [86306430; 9048243]; [285686; 65106509]; [40908612; 94339684]; [3762234; 22391621]; [2983383; 49961428]; [46010617; 68149431]; [88776303; 67382930]; [45685479; 6849738]; [24994166; 61799272]; [61990824; 23509568]; [12572204; 53434346]; [67797648; 3878346]; [60225498; 52391157]; [13357445; 79057527]; [43494122; 82913777]; [41936767; 97437624]; [79836730; 67105332]; [76420694; 45880647]; [91039796; 32989024]; [30701168; 63469200]; [74799389; 19190384]; [84026128; 92420157]; [73051491; 54327256]; [11830282; 49915790]; [34656006; 74061405]; [62729935; 35026723]; [31459492; 66611411]; [29972484; 74631711]; [10300801; 42110722]; [48840796; 40787658]; [58161063; 52865552]; [94542897; 20934487]; [85142398; 2489968]; [5243373; 40698681]; [2640589; 3526887]; [98496950; 52736023]; [30076843; 95015174]; [41418321; 43293551]; [58987114; 2412390]; [12700673; 78262489]; [4235625; 94689139]; [32290777; 19378067]; [69062072; 17210606]; [15226568; 75861648]; [86997344; 29687750]; [2488458; 27573275]; [59197898; 11897400]; [61199765; 2814329]; [28229287; 98214966]; [87390645; 24336609]; [25949365; 69132621]; [88448492; 19656798]; [42575860; 50184920]; [48108941; 51481573]; [11268776; 31277423]; [15168096; 96150804]; [35725723; 54096087]; [96322757; 80729796]; [12728572; 74783892]; [89097569; 1667027]; [16315827; 5569975]; [43562092; 31519008]; [60657203; 10793142]; [20479107; 92415566]; [27094598; 64260294]; [33435244; 11056941]; [1827295; 71306199]; [76817029; 20805701]; [98292964; 5686021]; [12817782; 90653529]; [49925324; 74989056]; [97924050; 81633224]; [42617934; 97061494]; [19218730; 61899424]; [17058183; 35713326]; [84122746; 5967976]; [6824897; 64880494]; [40546851; 82043828]; [11332002; 41186989]; [34853349; 34376251]; [90021036; 98923640]; [69952658; 84323362]; [86575575; 99178338]; [58155218; 35309993]; [85525082; 93535517]; [35386589; 82213159]; [70841175; 32246992]; [2378157; 30485997]; [59128254; 75690278]; [76201803; 93765686]; [31637448; 79963260]; [4813784; 90806149]; [15644627; 44298220]; [73512689; 5029712]; [12835106; 77570917]; [37467581; 44838925]; [96741105; 41206033]; [93577558; 96610035]; [32088333; 56545020]; [87500541; 11091711]; [52867939; 50654832]; [14021494; 72237081]; [82148220; 22780920]; [87771083; 43766314]; [40392878; 86721166]; [46626282; 99267540]; [19803966; 13873191]; [33337169; 18992725]; [79076990; 73762004]; [33161426; 69085631]; [64078705; 57790083]; [44928481; 57751807]; [83502837; 3401224]; [9048196; 841426]; [43686858; 23596447]; [72142031; 92046450]; [73988550; 84240054]; [76090209; 84021106]; [22459099; 42122056]; [75866984; 63598260]; [34413709; 5271600]; [27065778; 99100043]; [58665922; 92185583]; [7237917; 21776723]; [90883730; 23026017]; [98290199; 51414657]; [51341196; 17509356]; [79751866; 92187993]; [84349297; 91011933]; [46974860; 29281424]; [58237642; 5524708]; [7302085; 16543904]; [52676282; 71595205]; [93975527; 44211292]; [75040329; 78725662]; [76193032; 2258298]; [76896940; 5125466]; [96621137; 40192784]; [5596189; 87221317]; [73201540; 57741991]; [60721031; 64982340]; [93347086; 93336397]; [56270731; 79668032]; [23828326; 46176572]; [90533365; 33612035]; [64311722; 25791798]; [12242780; 52514441]; [32512150; 68156555]; [78219312; 63209331]; [94813035; 75034578]; [39949208; 47654578]; [10934407; 22400376]; [74156430; 96593323]; [60406034; 29132184]; [2648999; 84826213]; [96029944; 74263048]; [15581746; 85418382]; [2856758; 57316065]; [50594113; 3757653]; [46416679; 26458351]; [12465593; 24439177]; [18521182; 63614763]; [26041443; 21982263]; [6373298; 77728751]; [41918676; 75522977]; [56589772; 68443301]; [43169592; 99854004]; [55860873; 45465102]; [57662652; 4805649]; [52078977; 98736748]; [71816267; 1106435]; [44782378; 28844291]; [57476421; 79889682]; [76171019; 46256377]; [67939740; 97982247]; [15029696; 43224830]; [12506010; 62045999]; [6371517; 77908507]; [26833855; 9253275]; [80449130; 5200611]; [71682491; 80566696]; [16479845; 69811208]; [50978663; 12516717]; [39096017; 97896855]; [72204066; 64303925]; [77456514; 21498136]; [19731148; 55594814]; [77833283; 44989008]; [10889156; 65518372]; [57646826; 72624801]; [98132803; 76850932]; [86051763; 37728299]; [22324539; 75531189]; [25454784; 41974172]; [75931026; 38806694]; [93560682; 30951052]; [24907583; 58887454]; [43246487; 20572312]; [82835885; 4851792]; [29235153; 71710445]; [34228112; 41643993]; [43954099; 73775223]; [17536483; 22569322]; [5743282; 54892659]; [74827389; 41201009]; [39747107; 4916407]; [79589441; 16073268]; [53251780; 12002924]; [65438990; 23678394]; [57065983; 26081839]; [1111008; 1012447]; [57801886; 57223452]; [26531099; 19627500]; [20303633; 23145606]; [8748623; 43739541]; [38700132; 65682231]; [96085809; 79406145]; [70751828; 69955866]; [1412603; 46083252]; [92501216; 14253327]; [70323279; 68151661]; [6173004; 89522223]; [50934692; 54627075]; [75562193; 10414883]; [23749904; 81893774]; [16299821; 43453341]; [62893770; 56603050]; [62108594; 24075893]; [14386034; 75685326]; [32349927; 65083622]; [61989139; 55344873]; [66498262; 77450975]; [24360717; 92836964]; [65981375; 79837382]; [39311307; 64326480]; [78960240; 18854966]; [94413199; 51773178]; [74915754; 35066539]; [86362381; 63570896]; [61401585; 49973343]; [30700028; 68825743]; [86359442; 76148821]; [40348095; 44621408]; [92213444; 82781239]; [5871612; 34803526]; [4006843; 65853917]; [38752311; 60192241]; [48274770; 65493919]; [47076731; 47964508]; [69211407; 93595309]; [62923472; 72217036]; [62053700; 74286558]; [75672377; 30195230]; [34058849; 83810229]; [54258818; 3681100]; [34465662; 13457955]; [60367684; 50348011]; [29066049; 24863923]; [39364998; 57233290]; [43532787; 64648034]; [54097563; 89070035]; [60326928; 20793791]; [86693304; 39109821]; [23009920; 35722786]; [60707888; 65505768]; [37149662; 91246827]; [17978146; 10735016]; [68406519; 97806573]; [45942526; 51363]; [73142261; 10412845]; [18723267; 6655428]; [33820837; 68798710]; [30509665; 65096039]; [29726467; 3294172]; [27897895; 10107869]; [67754971; 12946214]; [29414314; 99849477]; [57372599; 42325085]; [54487144; 55368134]; [77566858; 43861017]; [50964048; 91347433]; [77438159; 52758398]; [20010455; 17396531]; [20307796; 4151569]; [86524079; 46284680]; [89548213; 15416558]; [40961099; 79137142]; [98520632; 12271987]; [75694432; 29926682]; [60121301; 51747696]; [70013061; 97421275]; [45995424; 15827834]; [42779454; 2848097]; [70586086; 12738018]; [77573444; 26356818]; [45940755; 21287410]; [33487803; 22655262]; [96670218; 82800924]; [49386876; 65571992]; [79303171; 97208642]; [75764860; 74443161]; [99634431; 73656835]; [93700320; 14928256]; [55486626; 80274219]; [2673676; 29100759]; [87447912; 63761488]; [70377575; 49111418]; [92443087; 33308682]; [59143090; 85604627]; [30202643; 5472000]; [90772858; 93689125]; [40210206; 78126476]; [9255387; 17816179]; [73668111; 50912571]; [70625152; 36397225]; [87733404; 89341107]; [54895789; 2586924]; [15983982; 45258145]; [98799838; 56365209]; [6222514; 30245502]; [14730929; 13411559]; [77746363; 56069136]; [77224347; 85268927]; [89001984; 74113738]; [66664292; 6862428]; [11083259; 51531914]; [41670320; 71352597]; [68768041; 44003863]; [57978873; 10505041]; [83644254; 30310730]; [53752817; 77601225]; [96401628; 55583380]; [22351852; 1994050]; [40703033; 92133639]; [19129077; 76694305]; [46744028; 29501730]; [11023516; 62931257]; [25004528; 35232497]; [60074899; 31243012]; [19990377; 85934958]; [46316133; 61044598]; [24905195; 93948862]; [6112551; 50133269]; [56730982; 7050466]; [54883475; 96076671]; [48125919; 42962451]; [39129828; 44748133]; [7161499; 20409836]; [25828691; 88607834]; [59112558; 19613909]; [5245657; 62181767]; [35146296; 92032317]; [60437211; 35582846]; [3479889; 88684934]; [98814942; 29007039]; [46376334; 855949]; [28560963; 30442429]; [43383858; 13024052]; [71154250; 93480670]; [71599763; 93135862]; [20155745; 15834611]; [76196084; 28216136]; [17947810; 607275]; [35159658; 50579593]; [26224904; 83629484]; [19256180; 13333557]; [27945126; 22910460]; [63800160; 62675157]; [6558384; 67511422]; [49847077; 13629205]; [72486706; 5617605]; [97699093; 48779595]; [79273642; 73252769]; [43468193; 37641807]; [3349660; 30905803]; [99691551; 47484507]; [9861684; 34082294]; [66877625; 26135984]; [33225435; 593007]; [46993511; 84505339]; [22592967; 43403038]; [29618201; 98427257]; [71772517; 40422437]; [54294885; 78206694]; [85527124; 76158666]; [57079365; 59198156]; [9585346; 97122202]; [64887664; 26133171]; [87974880; 19797491]; [26051719; 7602524]; [10354286; 64064486]; [47812164; 5162495]; [88688832; 31452540]; [95395568; 81209617]; [58154466; 94823749]; [93816524; 4151115]; [10931414; 43415319]; [90194580; 7727918]; [63892131; 96252185]; [51547845; 56646442]; [13188452; 19257124]; [56230907; 1898497]; [91308563; 62076219]; [95512270; 33384344]; [83264169; 5624101]; [12096361; 9243042]; [41273543; 69904478]; [46161125; 85376555]; [56067161; 18992204]; [95385850; 72879003]; [91182944; 11404702]; [63310356; 23345453]; [38546989; 69946646]; [63025807; 59073973]; [49496904; 25435210]; [22193793; 2550994]; [60360043; 71660103]; [87675084; 91424645]; [17943050; 10322303]; [32648827; 40645804]; [20866652; 7003836]; [55163799; 12248416]; [34292912; 69877860]; [65100616; 54481445]; [47249895; 8220919]; [82322445; 404010]; [6000525; 99224929]; [59452976; 99138867]; [35761726; 26054368]; [89344170; 24121623]; [6154935; 68399137]; [18622305; 71444939]; [71404871; 15432157]; [65554582; 39497326]; [28629336; 19301765]; [89750402; 59512102]; [13925489; 67089190]; [6235969; 27097522]; [32316723; 51578945]; [60833116; 19535244]; [9820563; 80130598]; [4861406; 27175673]; [77732417; 51264709]; [72247921; 11171872]; [90654519; 4899493]; [64621861; 94023193]; [33580982; 78478586]; [24238201; 48683642]; [94123162; 21257511]; [54732645; 53392466]; [59045006; 71945550]; [1790670; 59050093]; [70821350; 30913783]; [34878996; 11941323]; [63429888; 82173275]; [25017065; 94915088]; [21127810; 93517176]; [43803298; 4146072]; [11604350; 97705189]; [92043711; 64940401]; [79335791; 57210879]; [63131972; 89306879]; [62179225; 66621687]; [80193992; 35400927]; [3258801; 35534372]; [59326766; 95312571]; [26738192; 48921207]; [53523599; 7097871]; [2417139; 39971871]; [541578; 99532861]; [94369469; 11320127]; [60382929; 18979102]; [22571190; 73655417]; [72556661; 785909]; [13560121; 67350871]; [2999899; 94281603]; [16613406; 89126602]; [40539468; 99175769]; [52384022; 46566771]; [19424058; 62209977]; [78266501; 23387662]; [58930990; 68400260]; [53142678; 10098357]; [8974719; 95504859]; [11989306; 12366409]; [40895684; 40660843]; [60494505; 32546761]; [96883153; 35626159]; [94484230; 69590373]; [5944987; 18425481]; [36322547; 37577723]; [50296165; 71117732]; [18975933; 13183447]; [91417151; 39794585]; [22289501; 48279076]; [4226393; 72300290]; [6192632; 42354142]; [47376508; 55360952]; [83167544; 72800129]; [83518113; 36381735]; [13039931; 72018074]; [11595944; 7842547]; [85180465; 49500937]; [25443245; 60701382]; [7269671; 87700045]; [19642941; 97867564]; [95951096; 44450939]; [93493982; 46491810]; [46963614; 34184142]; [43078607; 29786167]; [33744822; 62353306]; [77246573; 1141166]; [39122347; 32897058]; [93966664; 90834068]; [8870648; 472804]; [48713158; 25187715]; [28853113; 35296508]; [17824804; 25316309]; [34323019; 77261745]; [13995932; 47981783]; [70067267; 9381648]; [27476848; 68709941]; [27902182; 61630083]; [50810643; 28885051]; [75827660; 47360553]; [78104445; 69098777]; [48809327; 42052350]; [8978568; 9323136]; [57994485; 13200451]; [54040519; 26411865]; [49048605; 51612651]; [62354595; 30560744]; [459495; 73430431]; [52359941; 81453216]; [13519494; 27939861]; [49921265; 30347163]; [1211623; 29308942]; [34535590; 82985755]; [8414293; 82299275]; [70614961; 6819883]; [60269142; 71777507]; [83492800; 95406144]; [76483228; 96726441]; [99143180; 32164234]; [15645057; 14394377]; [95504164; 46641933]; [802801; 71336451]; [6911702; 25283771]; [10527985; 3200806]; [49948444; 64742812]; [45847417; 44067764]; [27596518; 85035911]; [32820886; 96759607]; [58059939; 84093792]; [34706331; 79856205]; [84155710; 21295633]; [77347583; 23010821]; [94999759; 59275224]; [14049661; 85298291]; [28431603; 42934907]; [64171067; 58340249]; [13808502; 87525742]; [86998390; 31464064]; [81452906; 36034548]; [42567033; 49730780]; [90199206; 73175793]; [8297968; 76282837]; [7679624; 84778506]; [81485815; 46654477]; [23691133; 33830653]; [74853656; 80548280]; [64807006; 46391463]; [32958734; 73661474]; [65454541; 1141093]; [55111832; 80674339]; [48018937; 73458874]; [36909199; 44518997]; [22543219; 51350058]; [4516186; 60959713]; [91884904; 62279645]; [98094913; 15638888]; [71364613; 54202822]; [2797151; 96667798]; [57899261; 91527997]; [76061591; 70247266]; [65794097; 94308081]; [73798368; 79088660]; [29484397; 87939269]; [1565726; 68962764]; [29606165; 64991069]; [11709589; 93410996]; [14960613; 42049142]; [70984736; 95478561]; [64069621; 57289000]; [91026011; 14021560]; [59581702; 61876363]; [21171428; 74147629]; [56272559; 94053791]; [84433159; 12878420]; [68055895; 47260465]; [47066059; 46148638]; [52516723; 74711195]; [90458761; 90640333]; [62490898; 60898909]; [34834549; 54947833]; [26204366; 24490908]; [48682354; 24762434]; [49892545; 52827640]; [45603155; 93244870]; [64977720; 59694709]; [15748167; 29673015]; [36810916; 83478835]; [85786178; 85287590]; [93828054; 24234611]; [53343739; 32049270]; [73213324; 65727284]; [88635855; 46002561]; [71447254; 15928427]; [83663202; 46563598]; [80020175; 43446001]; [99341326; 23733231]; [43069425; 86057270]; [67013291; 23081316]; [98554736; 15427858]; [65267045; 46745466]; [79095710; 46743802]; [85770600; 61433974]; [88268817; 59085908]; [50405397; 20272626]; [54262510; 28220813]; [49358836; 34686670]; [1389491; 89334605]; [84451663; 9392418]; [38885654; 33445195]; [40066511; 42333991]; [97650080; 39212926]; [52249236; 37250664]; [26527393; 30435231]; [82961514; 49490812]; [77878989; 97350588]; [43559362; 96280159]; [28046335; 33345812]; [89918601; 43945245]; [56552163; 74320847]; [10505628; 90145826]; [39742198; 17167863]; [86954392; 1055584]; [40003045; 15277432]; [11198058; 96161061]; [58178627; 94396428]; [96811781; 16851836]; [97358398; 20188013]; [92232877; 64591702]; [17272237; 61762481]; [7597371; 14734456]; [83229731; 68138091]; [81508351; 68905746]; [13287438; 87973056]; [13532616; 86773850]; [25426048; 70093263]; [86541087; 1697335]; [31176407; 37687269]; [34585694; 95593741]; [83502912; 89503536]; [54265011; 58054270]; [38195447; 96678437]; [18637068; 54888368]; [10619560; 84956009]; [11696011; 1297893]; [71675862; 35298138]; [96806209; 59961989]; [85666631; 13906207]; [80266827; 21964373]; [91634677; 45639435]; [27595522; 67676756]; [23519274; 41844075]; [2504886; 1083565]; [37709415; 6738211]; [12480730; 68920493]; [57304328; 12439118]; [76997485; 68619449]; [20506085; 30694688]; [26797228; 6978903]; [82378277; 61517293]; [55992621; 60257290]; [53177750; 68153971]; [54463309; 53249015]; [48631691; 52948984]; [75413957; 53096856]; [76107728; 35704984]; [75804900; 53254394]; [28024754; 50575312]; [68522626; 94657476]; [67138612; 24160207]; [29628942; 79402343]; [51016268; 24293843]; [90864518; 56633705]; [59322249; 69058150]; [21421277; 27663150]; [5407218; 13880575]; [59326636; 31138616]; [2036815; 94059957]; [39359432; 93159472]; [13644040; 39653055]; [58249431; 11710395]; [47920105; 84809677]; [28181617; 74413425]; [96664055; 85533419]; [21399726; 77883331]; [9486006; 53281837]; [58140980; 70848911]; [50600199; 41550689]; [48871377; 47523482]; [11136023; 40850389]; [98723005; 57468012]; [83722653; 91010963]; [27951646; 29892410]; [96733517; 64207619]; [80831849; 85701755]; [71490462; 68228665]; [78912769; 75265978]; [57091954; 76661447]; [74082499; 7930581]; [76053801; 13596251]; [72504536; 26606212]; [13063654; 55602103]; [86082908; 75554434]; [19478425; 21591363]; [92154225; 47274719]; [13870671; 4617487]; [31330377; 51505685]; [79856594; 23492899]; [7812144; 28334600]; [92241247; 97738917]; [3776017; 93498291]; [58741237; 18964656]; [20969045; 73253412]; [2217999; 32120106]; [45104018; 94899682]; [87917263; 1141649]; [16824381; 20728267]; [70172461; 43001681]; [14531023; 20298076]; [8623410; 81748876]; [75308885; 29249625]; [38757923; 23020524]; [45070986; 73114980]; [67554659; 44181192]; [7666545; 23487928]; [29152635; 82526479]; [96669176; 63052639]; [2674974; 27953573]; [38095123; 94018832]; [88071136; 66880404]; [61147964; 51657453]; [83358014; 27130585]; [73596432; 42969580]; [77986830; 36206910]; [61376724; 57730549]; [2543618; 5126373]; [59554300; 67757890]; [42755986; 47762689]; [11825016; 43571863]; [37219610; 49160619]; [24908398; 85980854]; [39208111; 9584864]; [43328904; 33628960]; [17904402; 54929277]; [55864601; 57532700]; [38292236; 55502621]; [29297388; 37609399]; [56195871; 6394297]; [85732131; 46287873]; [41541743; 9931458]; [7232408; 57077474]; [91508260; 10705489]; [58626404; 55513725]; [82962590; 95129708]; [15425560; 70646008]; [28042913; 21726860]; [31622267; 13116724]; [11513162; 36536130]; [43789228; 25865930]; [95574348; 64943416]; [86588656; 63182820]; [67587244; 54062099]; [94233765; 39532082]; [80227032; 77881110]; [2372851; 92477461]; [88205586; 84499407]; [40864434; 3742365]; [88686454; 90312783]; [67969276; 95456761]; [98305; 22061491]; [73203186; 12463141]; [43743687; 69184681]; [15032032; 90212512]; [3820036; 90603315]; [53580448; 62766788]; [69435832; 69102834]; [64441445; 51321503]; [96374697; 61076021]; [85636054; 11104533]; [72557570; 13692944]; [95109412; 35614747]; [23115171; 659119]; [44204713; 16947697]; [63696836; 17702790]; [45878931; 88013978]; [94833996; 66306775]; [60989217; 32555466]; [1605253; 99736706]; [42484924; 64485054]; [83682251; 1537407]; [22203997; 76785110]; [44342852; 9993645]; [48891809; 96589191]; [57842594; 78639525]; [61165986; 77027890]; [32215021; 95662228]; [84716606; 35785554]; [64026377; 43485685]; [70721474; 73143667]; [29729667; 95129167]; [41424833; 15040552]; [90914799; 53640066]; [97931039; 83265053]; [65189787; 32257680]; [74046496; 90116610]; [93998845; 29986673]; [38246636; 93251287]; [80008852; 24568963]; [68023467; 93295908]; [83251465; 21727136]; [99609407; 6475253]; [49000039; 99681015]; [96527999; 91584252]; [98333390; 71951514]; [98321480; 94193876]; [34455866; 71078308]; [68874848; 87032765]; [76123380; 52290323]; [44494134; 92073964]; [20892940; 23283194]; [96705886; 44740107]; [88757972; 69809270]; [90905881; 32749855]; [69550798; 37856303]; [54299303; 11146174]; [76926967; 43396750]; [10606684; 43495903]; [6144786; 90193737]; [24868917; 11952683]; [83952266; 97894844]; [99813552; 26673184]; [76466764; 9718159]; [64476424; 49221531]; [85583782; 50414313]; [57805540; 67830108]; [23332742; 83686178]; [23887639; 21028435]; [99522410; 97619685]; [98313302; 57923574]; [5366011; 3475757]; [86273302; 94862216]; [45379788; 86192271]; [35961736; 22781005]; [29061850; 50114397]; [16845683; 38706293]; [39753188; 92553680]; [97177341; 69713808]; [40615283; 79824542]; [28798866; 61017307]; [22638310; 80183867]; [50487802; 27829719]; [99407782; 88035519]; [79090049; 62432752]; [15357786; 96822315]; [16200647; 60173928]; [40618512; 32189921]; [39064951; 27742091]; [72027612; 90598307]; [56816454; 87531556]; [48227469; 82111001]; [4227214; 63041566]; [22207203; 30632011]; [26022484; 12989196]; [37296733; 36175124]; [39586134; 86992139]; [26891713; 77010793]; [45383720; 44872983]; [44569373; 26522383]; [1537061; 46031754]; [42690177; 29822079]; [3237870; 28784948]; [96581950; 53877880]; [56242375; 73716184]; [98763440; 75552185]; [20179541; 11716414]; [5657490; 82392705]; [26921846; 93380199]; [74341714; 44138561]; [61922120; 55483253]; [90637283; 20292709]; [81634924; 82389060]; [58593312; 92011882]; [85085654; 36632334]; [76142027; 28601579]; [9708400; 36911144]; [10874483; 77371905]; [54750451; 44208217]; [16864724; 40242631]; [23088298; 87477518]; [13083927; 29899542]; [2984350; 75840158]; [95184401; 70555855]; [57182417; 79099261]; [51840149; 74496007]; [44306929; 30577326]; [70746312; 62705006]; [23498994; 72006127]; [14384663; 5547043]; [2698246; 13608681]; [38549827; 93980816]; [79004974; 57730465]; [88494007; 33396694]; [64074920; 49357345]; [96098503; 44425482]; [75985182; 72711184]; [26342902; 51634930]; [34783987; 36082376]; [99879023; 69549425]; [93733694; 45669152]; [96152966; 20522483]; [94738365; 33172168]; [5320083; 47224659]; [82648067; 9823227]; [62686215; 91727504]; [73236541; 63331138]; [43845452; 93639338]; [86275759; 20805856]; [48462115; 32021221]; [1641784; 4431814]; [90672445; 74703290]; [86241931; 11297859]; [53368351; 12295355]; [82473253; 13882901]; [60019227; 60801756]; [20184317; 46057300]; [42209544; 46307752]; [37209831; 35261362]; [70970063; 33075189]; [41960366; 80576942]; [79591665; 55758946]; [26056886; 21780966]; [38248134; 47486048]; [91883369; 24797905]; [8899054; 85381314]; [62672651; 65007689]; [25240344; 21400934]; [76732837; 78746680]; [56700738; 22759704]; [83099174; 87733811]; [31809107; 29286057]; [23010045; 86593542]; [95935761; 13487903]; [45212423; 30391891]; [55619648; 61557863]; [92609579; 74392163]; [42208728; 97590834]; [80930752; 30531567]; [48605667; 94733299]; [75338030; 93082347]; [93888603; 62725233]; [31024739; 51495480]; [54194244; 88239802]; [64633284; 26964701]; [8821109; 58122497]; [52458734; 35548673]; [72864615; 45919217]; [15023817; 36651779]; [4316269; 60635827]; [72364098; 20762156]; [76309942; 39792821]; [43768265; 57249718]; [15402679; 22042720]; [46210559; 66189288]; [71726407; 14809953]; [89288190; 88262185]; [86926585; 87682206]; [31494632; 82084166]; [41500084; 69341570]; [7726589; 73119622]; [39105279; 9751890]; [8210342; 15114700]; [32115571; 51786012]; [9455500; 45824178]; [14580524; 48057219]; [7307882; 50542720]; [99537614; 15516357]; [64337278; 19064257]; [63338210; 35610448]; [65592426; 18036622]; [48812810; 59050803]; [36818217; 70865819]; [57902800; 88094263]; [53780843; 42708674]; [18989497; 87455477]; [40950143; 43675689]; [5050102; 77186509]; [19068845; 83629065]; [49532923; 64915850]; [4910796; 54080994]; [75783436; 93083883]; [66013707; 91019107]; [78005738; 18160712]; [81047627; 93390438]; [69595067; 62629896]; [52697044; 15424877]; [74656702; 64869289]; [42749993; 54666953]; [65632917; 27016435]; [17152306; 61925696]; [72982422; 91643403]; [76976275; 15199755]; [25656350; 28330594]; [54798031; 64820600]; [37309249; 34028575]; [65921523; 90192319]; [34600573; 55246988]; [9209675; 71994622]; [37815743; 20045831]; [78275278; 8261151]; [42496688; 80081209]; [5039101; 15613123]; [42187618; 47682726]; [13784131; 96438921]; [38213236; 951995]; [74951736; 35809282]; [31852807; 49123034]; [37764348; 93184027]; [80263179; 68846559]; [39424776; 1793678]; [30059112; 17737120]; [22047689; 38555959]; [63498783; 325982]; [60866338; 7374125]; [2186319; 38436391]; [27564817; 89683400]; [17461221; 98647582]; [4538486; 57707487]; [26648434; 34410762]; [26407742; 25761237]; [42418941; 14375900]; [89986177; 83665666]; [1726174; 56938090]; [82207328; 2657418]; [14392673; 93297330]; [63600606; 58263504]; [238428; 93645527]; [56483328; 82006990]; [67989942; 15649814]; [4880036; 82860759]; [84548378; 83778951]; [97971556; 90805452]; [27839287; 90087477]; [37027518; 87476638]; [86763987; 33681603]; [67888865; 73016672]; [69868355; 79961916]; [45169226; 83045020]; [93055941; 74694330]; [54704853; 95185832]; [42442237; 99082057]; [69676951; 62276426]; [53596568; 56978460]; [6229225; 53175409]; [48109027; 61010301]; [84435433; 78055486]; [68081188; 37784604]; [57525337; 24531331]; [27393793; 54645445]; [69984398; 79567240]; [45400014; 37254650]; [29402616; 72182155]; [68294882; 2382624]; [20225620; 6283097]; [51300531; 79650808]; [97622440; 11664219]; [30634499; 81625542]; [60271403; 98525035]; [66761528; 90295489]; [55636309; 83950763]; [83267528; 96922211]; [83847571; 49924639]; [36270693; 28857299]; [97707959; 93455063]; [13824430; 46701661]; [73204714; 55680555]; [84221362; 84646461]; [8483479; 19992342]; [74847029; 93902835]; [51931974; 39478919]; [97231184; 98011900]; [91120785; 44954432]; [12405636; 34052249]; [76919856; 45816369]; [25570182; 40298979]; [48889222; 1408246]; [58753268; 42247101]; [95277350; 90456374]; [48183152; 38442267]; [47965228; 51828219]; [13200070; 96525133]; [52689197; 15063971]; [98846286; 71173347]; [71358065; 78004819]; [19270148; 92665948]; [17825819; 84056144]; [95284723; 59261273]; [75145599; 16787271]; [72087509; 38059549]; [32667736; 36452968]; [41004294; 56096177]; [24064503; 29870490]; [13196005; 35319237]; [3213414; 72589990]; [42708246; 26692312]; [56085425; 2323768]; [66189222; 49447612]; [21390382; 70254748]; [24918109; 18719028]; [46991011; 42009653]; [41678363; 35912489]; [56239021; 82057339]; [21292815; 99048131]; [96110320; 28957649]; [258516; 59110394]; [7341154; 68867470]; [97076859; 41323469]; [77697928; 28623919]; [97357182; 82123128]; [59597760; 18835805]; [85919340; 35528053]; [79668048; 37271728]; [819266; 38462788]; [34278003; 86596115]; [56683526; 15094239]; [80838602; 72725884]; [21802333; 23850903]; [24927276; 55887202]; [8100458; 75494980]; [180752; 90751510]; [42186927; 52526607]; [39676812; 70861438]; [35876859; 78444594]; [18564595; 89642286]; [45742319; 13850611]; [61355442; 8498626]; [97156493; 177118]; [6079116; 34725892]; [54519143; 90269124]; [58703435; 72996635]; [5266723; 65785842]; [17302659; 51566897]; [47510722; 11211110]; [65931705; 87225324]; [1830603; 97029127]; [34840086; 21638967]; [88451049; 74141140]; [51506615; 1887928]; [70174791; 65962442]; [6352037; 75988772]; [83861224; 67055170]; [17388228; 81828580]; [3498894; 56253278]; [99807315; 99121867]; [59294877; 16870369]; [98505079; 50283080]; [11202438; 8679567]; [56489779; 90836339]; [16063883; 54022740]; [57764119; 63748544]; [60190273; 30583349]; [91822397; 96629889]; [757113; 74842359]; [18092038; 35970815]; [86387357; 6900638]; [31798282; 98339133]; [47677092; 19799046]; [27126862; 16893691]; [65495784; 68394471]; [32585165; 23529355]; [85675440; 33282564]; [35903407; 74110487]; [9660759; 68179827]; [29002183; 91129692]; [79808726; 42067469]; [64600388; 13915697]; [42669223; 8220654]; [21857781; 77913667]; [75363685; 70615302]; [28880255; 56915808]; [20495093; 18357418]; [38789499; 61461375]; [41147913; 12126746]; [46485320; 14786178]; [62114302; 92430163]; [45083690; 95842534]; [63346444; 65510535]; [73589055; 54925240]; [87155181; 66716106]; [18029287; 54246643]; [16038436; 72621786]; [95665945; 60910326]; [25354452; 98872682]; [42246434; 6466044]; [83861926; 73726737]; [91786116; 37370273]; [95846498; 75957690]; [55689474; 78417244]; [24136117; 38181562]; [98881998; 74819158]; [90269044; 66443454]; [12697817; 49385863]; [27640831; 74064760]; [34496831; 83912438]; [94557932; 40178570]; [15478288; 27966846]; [19340445; 70692019]; [10703119; 61459530]; [93103460; 35863932]; [91838662; 83754232]; [73697929; 18250723]; [81015550; 26710211]; [20829139; 73272215]; [26090648; 60723434]; [38426142; 41487928]; [42271254; 72067591]; [94166276; 18958770]; [59164935; 76162942]; [2775529; 7924584]; [28079; 25919596]; [5186106; 17951492]; [28778314; 47095772]; [51998185; 30053075]; [68636382; 93650790]; [89193331; 49994038]; [23716074; 10603350]; [91225299; 94217930]; [27076656; 86092466]; [52029031; 94549624]; [78692402; 98838699]; [2008465; 18067319]; [99397158; 44454609]; [60819619; 52390742]; [45856803; 3262426]; [24678048; 81127799]; [98508842; 92262155]; [59535430; 50934051]; [72153340; 24292730]; [50157941; 19408748]; [98314891; 5760871]; [41712905; 976136]; [993751; 1805660]; [79259590; 59864958]; [46851151; 98979626]; [26772923; 75469145]; [75307055; 40106799]; [91330885; 36587051]; [67386032; 81952222]; [22831302; 42213713]; [21947222; 60458014]; [79273240; 85333695]; [31165926; 18099181]; [4384238; 30123088]; [74657960; 43876019]; [6943088; 26199128]; [46799975; 55492283]; [98777330; 59303588]; [35572053; 95344000]; [67667849; 45929759]; [19245408; 98086910]; [37087802; 4907070]; [57411511; 7464724]; [28592342; 74452674]; [66547886; 81423]; [20270580; 66031738]; [98161543; 32434784]; [59740902; 54359920]; [13342358; 33146035]; [74419051; 31921726]; [29927537; 87733554]; [8237230; 3319749]; [2788281; 35434416]; [86335503; 42548630]; [6131402; 40537256]; [75143177; 45455253]; [68271859; 13486798]; [34888957; 58860863]; [22117513; 734206]; [51591190; 15376129]; [69326809; 33439334]; [65768638; 78839776]; [93088425; 11326873]; [12643157; 12471568]; [9207835; 66217806]; [60660746; 14416550]; [72014048; 95752091]; [9151939; 457866]; [24207518; 92946629]; [45385656; 84040164]; [70039152; 71697172]; [86073720; 17086402]; [18401827; 99325101]; [5138354; 72180790]; [15734882; 67815331]; [50453126; 18779728]; [40346175; 39987557]; [59118326; 3210827]; [3407920; 64552759]; [32853454; 84332605]; [52702841; 75007013]; [76197208; 38419885]; [65327346; 20554993]; [19061009; 24872657]; [96038140; 84425791]; [44019955; 8993646]; [29976279; 19017427]; [17885203; 25158256]; [54257845; 60189473]; [7079012; 98983644]; [6429959; 38902181]; [80808055; 5132257]; [7663410; 18443077]; [6773199; 28928915]; [94452053; 88083682]; [18453074; 7721496]; [38489424; 69951664]; [9829820; 84706179]; [11018741; 53576063]; [80477005; 10429009]; [55683937; 92472174]; [97106159; 1284470]; [20331417; 39480238]; [30646975; 87681889]; [43200950; 89940907]; [141470; 524049]; [79276429; 95224855]; [8930798; 75254289]; [4049011; 12477887]; [69947547; 86456592]; [9129228; 56591959]; [42165497; 89413029]; [55045845; 6140773]; [68103798; 10557843]; [81002354; 36491860]; [78187829; 22583475]; [21851402; 27611292]; [24976844; 69782888]; [25378537; 97437772]; [70303467; 58284254]; [28323596; 2762656]; [72663574; 67760281]; [94535558; 80259349]; [21252783; 44047160]; [22307065; 61121532]; [97483977; 25745902]; [13445480; 15854650]; [585263; 99016706]; [38762608; 62909892]; [4027243; 80804124]; [96826256; 17607172]; [48171571; 27937703]; [91182944; 31781330]; [17780060; 49494284]; [22500065; 60383963]; [42326601; 18945679]; [53998891; 86867494]; [20849276; 14259189]; [7353350; 94034862]; [77647736; 8077627]; [4762330; 28258651]; [72037365; 47776244]; [77546292; 64351438]; [35151315; 92260370]; [12956218; 1274126]; [68870848; 28575764]; [11963926; 33062809]; [72222065; 23726799]; [2299510; 81181373]; [94911540; 16583947]; [92222592; 41479033]; [80994925; 41553341]; [82284725; 49623819]; [49370739; 30328523]; [68577876; 57141146]; [18830219; 14559594]; [77102560; 44867836]; [68887966; 51980548]; [45097478; 10445821]; [65903832; 76475379]; [37926308; 34789103]; [81107080; 8369402]; [45913388; 53844515]; [93379931; 90131636]; [55502015; 480955]; [76767561; 9442676]; [68044327; 58671296]; [4705291; 2125968]; [5961170; 68451354]; [69297285; 39409410]; [56210581; 97011938]; [91111222; 51563482]; [9799856; 1464723]; [20878473; 95098135]; [5376471; 95720152]; [28368687; 4461414]; [80226822; 93842780]; [81559281; 49764287]; [88163745; 67138617]; [13720460; 76103953]; [67252328; 56695805]; [71415754; 13989854]; [84254338; 24900210]; [39880380; 51109085]; [25320011; 60479075]; [59822868; 72661681]; [37861740; 38748073]; [54388991; 44008549]; [81004984; 82077107]; [71784889; 14641872]; [85331583; 42684370]; [26947363; 15858650]; [34842154; 54126526]; [18866152; 71375333]; [45787033; 27466446]; [69980433; 67744133]; [24422632; 41727472]; [81395813; 579600]; [88224192; 39542663]; [39656376; 21625390]; [98560984; 20014198]; [45682093; 14898949]; [44891550; 59861767]; [47003696; 51222199]; [40768777; 92748964]; [55152222; 93281367]; [89680348; 60744333]; [876461; 86157264]; [34340817; 69411864]; [48887399; 46233512]; [99808118; 10830713]; [34300779; 9747046]; [98507136; 68183455]; [19004273; 11948501]; [3805867; 53477696]; [62872541; 50546283]; [45282757; 59390265]; [96329618; 26474152]; [38478786; 35024412]; [17206097; 59409312]; [11633931; 13553596]; [54996992; 31146884]; [80207403; 80328176]; [15965196; 80272412]; [3347343; 39517343]; [37599838; 44540425]; [53916185; 11510017]; [98621165; 35985058]; [50939914; 44881053]; [13539442; 57620261]; [92949441; 60295939]; [65101362; 62786467]; [27900830; 45355616]; [65896792; 2613547]; [40835650; 75360140]; [68320475; 73275899]; [68766580; 84773828]; [84978791; 82014823]; [2981586; 10117397]; [53519680; 56517088]; [90321779; 19266256]; [11773786; 22142020]; [97854696; 46645554]; [75700112; 93594552]; [44888038; 4893084]; [31432343; 19183453]; [25973154; 95667864]; [44625461; 19490189]; [71501830; 59289307]; [28617371; 86889386]; [32795853; 3163408]; [17350660; 9537159]; [55277846; 62456694]; [99786039; 80437919]; [52866756; 73768980]; [57642282; 32173747]; [43957713; 8135144]; [90864177; 70096291]; [42751769; 75278437]; [61074310; 52576484]; [59058914; 53312812]; [65800446; 37393524]; [18812679; 53337910]; [88086445; 63841448]; [69283088; 95134353]; [81566195; 32234131]; [40829117; 47698296]; [326747; 20277117]; [33287352; 83451775]; [21532715; 58969950]; [93758199; 20765284]; [76778357; 90848651]; [95653395; 69933948]; [8103958; 94094775]; [15212453; 64827684]; [13162613; 88945636]; [49231798; 79039382]; [59027543; 19824648]; [92305743; 52084732]; [8015386; 94758594]; [82703997; 44474978]; [38743535; 15638641]; [37460823; 39610573]; [66275017; 26408188]; [94140277; 12423815]; [9784787; 81146786]; [49698967; 21414020]; [97498314; 57080156]; [3916250; 86130569]; [62274455; 7163275]; [81712347; 60982655]; [95868547; 13176128]; [61817086; 79631427]; [65707000; 47681740]; [59493216; 63144412]; [49171585; 93517684]; [46293545; 75005640]; [26403459; 51189958]; [45308819; 9429497]; [99419205; 31063442]; [68582667; 63931013]; [28658419; 39482926]; [1067421; 97283679]; [15802718; 33116637]; [93932950; 96298084]; [77103549; 5619264]; [67555315; 57117219]; [81851696; 30638966]; [66756793; 28076418]; [38322779; 63798046]; [93097598; 30881948]; [57555485; 2586768]; [76345514; 67492938]; [11818724; 80903685]; [33316577; 52695981]; [6974572; 21733786]; [20029694; 23215393]; [13325879; 12135483]; [47475586; 19449676]; [92283546; 55075504]; [47207152; 38458515]; [65349390; 26811799]; [82902694; 39843683]; [32717398; 54984030]; [82610926; 23690060]; [86709170; 60650594]; [64549351; 46772784]; [53168085; 49669439]; [17069035; 7736328]; [2095736; 88660610]; [6822784; 78740060]; [67775998; 82593694]; [82594718; 55775874]; [73502556; 71568612]; [19164388; 29162482]; [99947742; 88260284]; [92983980; 11944011]; [42241593; 16767235]; [77325684; 76861979]; [92197162; 24391186]; [33683470; 80741951]; [88170876; 75484214]; [88982351; 9417439]; [22962713; 95723259]; [19424000; 11338136]; [14911470; 45025488]; [68691906; 51079234]; [32351700; 50939657]; [39921572; 56874944]; [90625450; 69466958]; [34855538; 26528961]; [20051859; 69760991]; [90467114; 74931799]; [5006646; 99890956]; [50378292; 30184653]; [75691557; 49553893]; [32119661; 24052939]; [81877148; 48289609]; [43912219; 31450221]; [90052879; 68543205]; [88580704; 85841087]; [58222434; 27551398]; [36834913; 73832011]; [15397013; 21987254]; [38032821; 96091661]; [32428958; 84417537]; [74546118; 2687038]; [7639562; 37120479]; [25123844; 4572208]; [28745879; 8510926]; [26895270; 10833689]; [4060150; 27654907]; [83124455; 10092818]; [64573949; 60674207]; [50977871; 64935098]; [48084840; 60707510]; [34294753; 51726627]; [11472659; 58157947]; [37558284; 99620387]; [13587363; 93634442]; [60422421; 74894140]; [88209403; 44319749]; [68426185; 84726581]; [15770015; 78619577]; [87232113; 9722508]; [49061379; 29130637]; [82323414; 4536654]; [1448014; 37640286]; [59180393; 46441382]; [64637071; 65935005]; [58903221; 74289857]; [11340695; 32564903]; [66005503; 52307733]; [63228453; 49545139]; [66348770; 81189162]; [1740651; 28941737]; [73781719; 30539184]; [63998085; 63845600]; [59006139; 89521155]; [5181894; 60589764]; [1293054; 47986557]; [48652510; 5182246]; [13303177; 25051788]; [44960006; 51417904]; [2826173; 90166023]; [52676491; 93593887]; [32260327; 59708500]; [76260593; 306241]; [40358832; 91876737]; [23481695; 70880206]; [27764636; 3080154]; [15488507; 1643723]; [81339702; 7415239]; [23317705; 65355605]; [10143844; 64739451]; [43358964; 76520004]; [74934757; 38869398]; [74689167; 51399550]; [92980899; 21459814]; [415044; 29484420]; [57467403; 62002100]; [92545815; 16591995]; [28735988; 98145433]; [89286288; 77686986]; [20943405; 81313254]; [18391423; 13794909]; [17934157; 42135353]; [75377869; 58614979]; [21695473; 45190385]; [19273698; 14810360]; [58711676; 10369572]; [18787552; 6964602]; [61604916; 22640605]; [26713765; 14216401]; [64866442; 33199253]; [46650652; 34329295]; [35319618; 19727634]; [66096588; 89698192]; [20554680; 53621850]; [98366722; 55113680]; [91977203; 3729180]; [91266851; 55423402]; [18619289; 5271407]; [47622885; 76438885]; [99333804; 31599934]; [85373423; 16507385]; [68457668; 17035117]; [34799529; 12214126]; [92348065; 20001424]; [47611081; 91848174]; [56431488; 78819718]; [90252105; 84253938]; [60330305; 14342153]; [94806281; 59268050]; [52048835; 92296359]; [73655815; 50411824]; [32759710; 15350008]; [98324853; 29967321]; [33592049; 48105853]; [70988657; 49623216]; [72494312; 66713057]; [39502958; 59494369]; [27874641; 61589605]; [84887024; 80187482]; [43055675; 86515721]; [832443; 23591962]; [75636305; 19109614]; [93680323; 26300550]; [85637515; 60337893]; [62787843; 6099171]; [5941953; 58346887]; [93626612; 11592994]; [97334592; 1640787]; [51244140; 46805670]; [27602667; 56403063]; [80072351; 49232860]; [31116028; 65478541]; [67031058; 26726850]; [63145056; 46428301]; [93556297; 77138856]; [10595635; 12860177]; [23858924; 87434074]; [50154551; 80694765]; [40488634; 88848252]; [91765749; 44510061]; [86803008; 66523286]; [41514366; 41912983]; [16771729; 15799734]; [78749073; 10419020]; [54806631; 24737567]; [75849980; 82430413]; [26677567; 77291878]; [48688066; 72335094]; [90619127; 863071]; [81245640; 41360369]; [72301247; 28611533]; [99929085; 61511258]; [47557322; 22862519]; [30656583; 94719361]; [81059900; 81840518]; [38841576; 5705239]; [76987009; 87828859]; [25705435; 31284808]; [80633989; 19127127]; [57873832; 25432480]; [44193647; 59444963]; [27193483; 74786082]; [56783749; 66822801]; [32055467; 91197518]; [69613293; 80679009]; [35171532; 87063901]; [64056689; 25194342]; [22813857; 66918060]; [75980046; 88496124]; [1081161; 15323031]; [35739441; 13553236]; [37856448; 45438332]; [96286269; 25974668]; [23995859; 39132403]; [23604299; 64099125]; [88689535; 48240486]; [23662905; 65436318]; [77371036; 16902143]; [88452252; 59647974]; [54053546; 58075041]; [57018753; 85710963]; [51515079; 67826937]; [80951868; 19616325]; [226978; 95279493]; [65536634; 78648032]; [74449920; 54879261]; [14884178; 15376065]; [11660266; 54965644]; [1530837; 98536453]; [83013631; 15015297]; [25942379; 29021453]; [13580164; 34379515]; [80832165; 38305720]; [1323215; 81953447]; [86241606; 5540687]; [51081445; 89862133]; [5460992; 79326187]; [30029316; 50161826]; [19178093; 24083857]; [61090881; 17055727]; [87918803; 19868337]; [5781147; 51624494]; [84858134; 89198919]; [12534607; 12209061]; [95046511; 24430508]; [34184135; 26112517]; [15819897; 74059739]; [44862523; 87725082]; [81581325; 57290968]; [12504076; 45676075]; [16890641; 65735624]; [7792170; 18916627]; [66526015; 77324510]; [19908947; 31343693]; [8686294; 1508262]; [57715979; 979689]; [3981791; 80086204]; [62313423; 46559653]; [9916124; 59454025]; [17417793; 12485725]; [94925933; 81361933]; [51953403; 14537745]; [9335660; 87319458]; [73920976; 13494410]; [56777307; 27636927]; [48104094; 19301316]; [1797044; 88343291]; [677326; 3161789]; [65852345; 6123914]; [44675226; 3390296]; [84556053; 9901953]; [95343173; 69973236]; [5096414; 65375550]; [63836282; 88566946]; [58974144; 94178414]; [75599061; 68608320]; [88465902; 12617834]; [72942936; 64530439]; [38848059; 82216234]; [39272317; 91228412]; [59483328; 51872213]; [88370218; 3425874]; [46940983; 52274285]; [80671481; 73654196]; [41751468; 4290783]; [59247815; 86484360]; [32155818; 92117513]; [73286015; 11958767]; [17165596; 2368030]; [32567786; 87542522]; [78687819; 46605008]; [4791054; 64598827]; [53619901; 73248037]; [85686210; 80713146]; [51510950; 11900984]; [37094493; 89480620]; [92267690; 94591029]; [13621112; 71553988]; [50757837; 61310898]; [76583669; 638294]; [72261879; 77280138]; [95620800; 87386779]; [30961262; 99211957]; [25709482; 91055029]; [29139186; 876783]; [95784701; 33506707]; [94981532; 33996593]; [79103229; 61140185]; [91233506; 7535580]; [98559542; 90422129]; [45904285; 25175653]; [73610481; 72326420]; [51749642; 46518001]; [9307406; 556614]; [9451057; 12925100]; [67305626; 72656309]; [44087590; 55477069]; [28923360; 17055204]; [75420667; 90842562]; [35742714; 37507858]; [65292907; 72084427]; [16316811; 18347348]; [26572614; 9631304]; [88021756; 17809516]; [51602379; 68211487]; [93540625; 11872357]; [68836768; 59496303]; [32442038; 64949856]; [38200207; 46530589]; [71214639; 59682177]; [40331759; 5221944]; [19809597; 60337922]; [60432588; 90478250]; [222065; 76916973]; [1068619; 82460096]; [79521235; 48257615]; [61302837; 22177339]; [12743637; 44858423]; [12471742; 38800346]; [15611375; 96415439]; [94462249; 29745840]; [15330588; 63210540]; [47580630; 37377274]; [64499454; 53953020]; [75660234; 75168913]; [84023644; 50237417]; [35519978; 3450196]; [9800665; 31390982]; [10549455; 22137380]; [86430604; 28561502]; [51764283; 55264236]; [57974286; 98766726]; [34940850; 67142864]; [22469437; 13378664]; [21171602; 20827006]; [33746173; 41321134]; [4934677; 54174]; [63351394; 94106632]; [59862450; 65507690]; [47039264; 83416637]; [56568001; 73918487]; [15851095; 25421077]; [21179953; 4421966]; [35325548; 1979610]; [30867477; 84961864]; [60559086; 97221572]; [442854; 62631007]; [64540799; 41395247]; [55837392; 29433977]; [80831071; 66404359]; [69108577; 33544040]; [4535462; 16827423]; [36108067; 67471172]; [10975857; 47237114]; [41683953; 1896279]; [74017152; 82660708]; [4994535; 56979535]; [59348974; 81825036]; [16004594; 63903094]; [63091475; 11623765]; [92275933; 31004831]; [24774963; 96183513]; [96283962; 16089959]; [85150944; 7313719]; [372125; 30679430]; [41237944; 51015966]; [86453855; 11986089]; [4103212; 87517193]; [66470520; 65504730]; [18889640; 56610368]; [82002489; 33158247]; [93522301; 61975073]; [7697211; 88844317]; [56197861; 50593253]; [66562563; 78888791]; [50904968; 16471904]; [67324571; 95497196]; [30622240; 31330385]; [72289385; 39560475]; [76075041; 44039560]; [35944574; 69114270]; [76609160; 28755775]; [26224373; 45437688]; [6771880; 89845899]; [51464812; 45195507]; [91542449; 24434880]; [56047855; 18032315]; [96945658; 45483960]; [56484960; 76007335]; [9642281; 79596052]; [31421065; 68936912]; [78996908; 20649754]; [56091031; 28860189]; [14902669; 61847821]; [26602503; 22716499]; [86246931; 83620403]; [78305406; 51623834]; [5336775; 76955588]; [86464177; 3301265]; [55206925; 14498208]; [36675472; 58312515]; [17232628; 91725717]; [1488317; 37903344]; [97834613; 53727870]; [45302837; 10832256]; [58375895; 49974381]; [34105532; 43020319]; [84674884; 41133179]; [32947890; 25262991]; [53260646; 1911708]; [5534513; 76754624]; [69486877; 95449233]; [48581178; 74480211]; [42671927; 31662871]; [3928617; 97465157]; [50192630; 62344862]; [80228502; 42255288]; [78154008; 84837403]; [39955608; 38283471]; [97649494; 63951525]; [54138888; 16479000]; [73474777; 93421406]; [75929480; 10295181]; [24288845; 80579062]; [19841349; 87605435]; [81362103; 23031785]; [62279595; 74313110]; [65919962; 77957015]; [15921842; 1853692]; [81146399; 74366314]; [70949660; 34753541]; [19655956; 59617969]; [54445177; 51626803]; [58330917; 26367342]; [86541137; 17377368]; [98306578; 31117591]; [69019037; 77055002]; [19675007; 11473501]; [57536851; 97229908]; [42653679; 59859613]; [89990505; 41006180]; [51164006; 61133795]; [48801852; 91410241]; [64078085; 51957168]; [39346397; 53167565]; [28950558; 87137791]; [32277192; 92254275]; [4774787; 1757131]; [96171225; 15026369]; [80520066; 32222154]; [14589106; 46365568]; [81826260; 21394900]; [4699116; 77930884]; [47787272; 61397771]; [4515241; 59198381]; [86254242; 5159845]; [80022782; 87938315]; [98338598; 22132857]; [76922546; 45218316]; [78740071; 51719607]; [78113308; 38540676]; [62444955; 81616444]; [12747899; 71796492]; [16121238; 24427032]; [83334553; 47550158]; [15150652; 83048830]; [42553306; 761573]; [42461604; 80960128]; [71085921; 52886099]; [92993518; 71391549]; [55833051; 4869765]; [19636729; 31906063]; [2442347; 8788807]; [52765051; 44839106]; [51091395; 9247205]; [98148542; 22541888]; [94631353; 66553477]; [22555113; 81524930]; [55954306; 64083689]; [24074295; 68775596]; [96264295; 99371732]; [28772824; 95752965]; [70484118; 48094268]; [95576880; 75221298]; [79963123; 80867915]; [97540636; 33263290]; [19208453; 2704172]; [68544508; 77617642]; [49214894; 66215273]; [51513462; 29757290]; [95184291; 28299116]; [65972437; 3710512]; [27010588; 24954280]; [53872843; 97676359]; [16177205; 87153980]; [12843761; 37677938]; [46442163; 51729753]; [56408526; 98548683]; [38725302; 74814117]; [45694156; 29215388]; [32091970; 61595457]; [82904489; 69761700]; [17687532; 75558361]; [36605975; 1579844]; [96758114; 70703571]; [27755998; 60182720]; [95186605; 97482863]; [76760747; 3570356]; [90490538; 18780175]; [64136678; 93821213]; [12975390; 79822093]; [55985616; 59172016]; [66818858; 92144314]; [30917443; 53954067]; [51200808; 33107211]; [54273517; 28696273]; [79441756; 28822250]; [92197153; 6051866]; [96539397; 17661570]; [97197574; 82332644]; [27389790; 28005555]; [79060287; 93416823]; [14567597; 7278122]; [10739969; 52754560]; [6826719; 76068781]; [42904682; 68156111]; [79450824; 2188059]; [8946023; 11042206]; [85677702; 70890867]; [21555888; 57564935]; [32054407; 69173361]; [73933937; 70013824]; [29816525; 46462096]; [84349158; 26550467]; [2962046; 38540280]; [8880016; 37617226]; [27115316; 42395581]; [21128784; 54663543]; [49625091; 66792947]; [15476923; 15483461]; [92865018; 57943804]; [77096894; 29596149]; [34537041; 9685914]; [11926522; 29644347]; [51581005; 73508779]; [9293864; 52370351]; [86071264; 81164144]; [64069869; 30000998]; [707259; 52731870]; [64577119; 51069]; [21881856; 56620641]; [26743038; 28172509]; [36682154; 95638962]; [97185806; 44557340]; [15637936; 995349]; [97261032; 81476551]; [20913213; 92060193]; [75661850; 45152091]; [90848956; 56950489]; [49045802; 12240428]; [68207608; 71356717]; [40471883; 88839434]; [73885538; 77588112]; [41205512; 15175477]; [57945942; 3471582]; [64622125; 54037769]; [34179081; 1099810]; [89826663; 81836770]; [67072042; 89575891]; [98905002; 67404927]; [74288220; 42799655]; [62075978; 28355216]; [81815347; 50860234]; [1317302; 44001684]; [84893244; 75085006]; [10019713; 88758034]; [8842618; 46234488]; [78784371; 94711219]; [34033146; 99223682]; [62178710; 84804942]; [26759103; 76511865]; [10397105; 83437883]; [37935625; 86363855]; [44571166; 45370206]; [77172565; 99307719]; [45325696; 67681523]; [55376542; 70926622]; [97663862; 28331539]; [78445336; 95055431]; [43638829; 66338041]; [34960445; 36841196]; [52930272; 45181642]; [71114838; 92169335]; [14370804; 16662455]; [23218076; 85976561]; [94326560; 12924176]; [57595090; 69184594]; [37012829; 58808927]; [623822; 39818901]; [22341533; 79366105]; [75251137; 95607236]; [24744507; 58660939]; [80524146; 69593272]; [77404377; 51080842]; [17922166; 24772785]; [98950535; 75277974]; [49678281; 25459644]; [62486281; 69526109]; [38013173; 93540120]; [98739327; 22074013]; [52850930; 2071926]; [98054871; 52565121]; [69376045; 41157293]; [53148564; 74247616]; [99720799; 786282]; [46912940; 28493936]; [91012716; 1099486]; [68574395; 74256418]; [14473566; 96901548]; [75419390; 12935785]; [52779459; 53519939]; [47761812; 44055257]; [73494896; 57801224]; [62427319; 75143431]; [20950025; 1579685]; [57907404; 10431040]; [64672473; 87472356]; [94763703; 71524499]; [31175300; 91830085]; [36290062; 57434997]; [93410775; 8249456]; [35285172; 53185150]; [92508327; 10235829]; [77631895; 94116209]; [74544130; 13567573]; [89911997; 95506472]; [58733444; 80969125]; [24275782; 61393037]; [17662215; 9264627]; [39440686; 85925405]; [39620773; 62698596]; [35569926; 27789031]; [91236691; 22337184]; [85928685; 36425122]; [28570880; 42789258]; [47391299; 21353820]; [24008909; 38474917]; [77465078; 81383187]; [96780763; 17588100]; [90950650; 289951]; [48784158; 36836171]; [1930578; 60151894]; [52904707; 4918398]; [18527760; 94578087]; [57962372; 98884128]; [95985788; 25153684]; [33906538; 18704550]; [96567553; 64774050]; [36034962; 16438806]; [77009628; 89469095]; [78375117; 68692725]; [3229382; 42781474]; [40389847; 55398938]; [20649371; 89418176]; [6051450; 65388143]; [13258578; 19386808]; [63137230; 30774891]; [72161118; 51440296]; [87346800; 9553210]; [52399833; 70890567]; [75219806; 21526935]; [93423094; 41564921]; [76524632; 50579386]; [66372420; 92335804]; [63840461; 96082666]; [99168143; 33726328]; [97350563; 28671050]; [39616221; 2775869]; [53329989; 71029877]; [26804645; 53858555]; [18035426; 73100182]; [60004552; 27472999]; [90865304; 7263975]; [37538980; 98484956]; [33520449; 10689176]; [59275710; 49316535]; [81843507; 63471263]; [97513472; 34634154]; [23141683; 7726463]; [71566921; 23170053]; [27580573; 65252485]; [86569919; 66039164]; [66486125; 2963270]; [27953951; 95282761]; [82988498; 72360438]; [83261323; 26208660]; [17744048; 43890935]; [95798273; 36164760]; [76620092; 38820820]; [23503302; 74795367]; [4347080; 53936314]; [91418005; 86821683]; [10333867; 19960606]; [38569611; 39555601]; [90242832; 31511202]; [67807275; 91179154]; [67911261; 31133138]; [13329619; 44592063]; [44696648; 63432542]; [27454951; 65067907]; [4722598; 61188596]; [61591534; 61748244]; [35061722; 66366116]; [31954718; 86865019]; [57149757; 78739188]; [11165052; 91707303]; [29525417; 31694495]; [23660132; 81092737]; [28861395; 40668101]; [93536714; 65734466]; [88724701; 31226086]; [41620944; 62706944]; [32098558; 72639925]; [65993679; 37151046]; [15120897; 8192314]; [76738466; 95227597]; [71742646; 57405937]; [89675226; 63584973]; [10966567; 83314130]; [60472070; 16222140]; [48968447; 15461149]; [13841594; 55611502]; [58140224; 75106974]; [62358273; 39742390]; [25091305; 36672389]; [4223600; 47701313]; [65631731; 82625336]; [80348163; 87100025]; [86841889; 36697016]; [40559022; 44717325]; [21399821; 99950315]; [37079967; 51090978]; [43060159; 7009710]; [46005045; 63706890]; [80910519; 3290813]; [4361234; 99816744]; [25996183; 13994629]; [14827141; 67742416]; [48060092; 64881641]; [96336240; 73465546]; [71506061; 95960671]; [57396108; 66966617]; [76259497; 21401280]; [96251468; 62637755]; [54437685; 66810275]; [92790886; 19138576]; [29028186; 82774454]; [6799906; 35285111]; [14502274; 14245306]; [85104954; 94489106]; [32544354; 33269911]; [84169494; 82996842]; [3285580; 88580050]; [55137875; 37846582]; [77819686; 49109271]; [33722633; 91989625]; [37533689; 94378452]; [66144557; 92923336]; [31698694; 62706499]; [69639823; 91109827]; [41298467; 9056552]; [90532128; 79651171]; [34070690; 89836255]; [28974828; 87993058]; [39193907; 67661290]; [41510739; 29394168]; [17672387; 18028162]; [39255636; 89021045]; [69785995; 77790915]; [70002732; 17994859]; [27449649; 97349133]; [38970298; 94729406]; [20533251; 52849673]; [90529325; 57023226]; [84745624; 29889281]; [86565425; 22961262]; [33818603; 78280967]; [54821596; 4237881]; [72379844; 18446938]; [10864538; 26835452]; [59595690; 73677648]; [3137259; 81193069]; [48913531; 4835806]; [76974129; 35738786]; [34987700; 13110474]; [87156139; 27609029]; [36211896; 12419920]; [4617629; 28560656]; [19382353; 38067832]; [51834296; 80219910]; [18710364; 10837962]; [6868459; 18886854]; [34671633; 62705579]; [96729752; 9399257]; [27492278; 32647982]; [22731840; 23034137]; [62119688; 26401511]; [10731389; 64000982]; [59965681; 55520673]; [13021067; 69081243]; [56362747; 8179168]; [94234004; 38578883]; [96716149; 5236804]; [9645219; 81884593]; [32324568; 15440793]; [40263672; 77475439]; [53906110; 67680227]; [21138647; 46788554]; [7519114; 57106273]; [60258276; 53538726]; [50910292; 54210099]; [27451021; 66686977]; [68394988; 65994776]; [62268171; 13429326]; [12900056; 92574416]; [68555345; 47332422]; [73629420; 52219185]; [1158517; 56272828]; [54939010; 21863729]; [50797637; 34248784]; [40250659; 606381]; [59691230; 98357210]; [54357949; 18304351]; [30802593; 91054219]; [24049364; 26360122]; [61099089; 94382533]; [89531120; 4275756]; [26521945; 30114600]; [7420779; 1789361]; [9770356; 50084111]; [11078896; 89050770]; [36149572; 71988051]; [10598798; 41380633]; [59503703; 43836253]; [83015598; 58590761]; [48904272; 96088197]; [78636737; 56087182]; [42205398; 83351661]; [14119119; 22815157]; [55997520; 7996595]; [51023909; 84390208]; [21249338; 50966298]; [7437151; 92106709]; [31378100; 2431563]; [39277136; 77279426]; [58747015; 19619158]; [97819767; 30451390]; [51195719; 50717522]; [78604421; 63453475]; [14582171; 64656915]; [46390777; 10483486]; [60693156; 78871453]; [94179248; 41544878]; [39710937; 21813279]; [5044299; 11776008]; [74544345; 51167001]; [79866499; 35060643]; [92881798; 46739247]; [47962487; 89385914]; [98207228; 52335245]; [82565120; 19264538]; [51465221; 56343281]; [51345671; 57799874]; [45102702; 7954297]; [80102787; 76235844]; [86580946; 67308994]; [23688636; 46441985]; [3997046; 50200241]; [98561731; 27255107]; [10826657; 58981923]; [13417252; 14925164]; [83415765; 70213835]; [200301; 73485319]; [41526873; 46708299]; [26433932; 90543445]; [48239706; 90085268]; [42352474; 74534640]; [3611499; 41649809]; [6447047; 48911639]; [67835071; 99398505]; [85737286; 24628942]; [39710050; 94276010]; [44250826; 43408318]; [191375; 12198155]; [11155082; 90017203]; [77805479; 66583265]; [41759582; 98111612]; [28659463; 99605133]; [75776016; 9795238]; [96591920; 35581665]; [25103963; 71982001]; [60239453; 66918086]; [81652267; 19834207]; [84368594; 89177087]; [86786007; 57911144]; [14938425; 53353818]; [99358841; 22705025]; [97935235; 95772720]; [34794005; 74096710]; [97739669; 71506807]; [2917922; 50570033]; [91159228; 75284112]; [19760912; 42541128]; [80896548; 95814671]; [27657558; 6233486]; [10828189; 35606242]; [12314145; 46531326]; [57882574; 31198460]; [70080185; 24083857]; [66015991; 51977508]; [3469486; 91817133]; [86026419; 76688707]; [14512181; 2070456]; [95165123; 25390839]; [85554958; 11627518]; [6722342; 81423699]; [84241142; 49308367]; [57177915; 47990634]; [30595810; 37723523]; [48750338; 90072554]; [41190832; 70307852]; [89145765; 84331154]; [14718732; 2411659]; [71799862; 42724112]; [67864143; 18469861]; [20449340; 37016425]; [16600438; 78559997]; [29586399; 462308]; [57533436; 4764410]; [13226856; 26130373]; [89165064; 3785904]; [40639794; 61066577]; [46143370; 75245267]; [70710094; 45803027]; [67189928; 62819891]; [57940383; 45884180]; [33184935; 76677432]; [94855672; 96920633]; [22292100; 6970464]; [27260057; 59543089]; [31745930; 32356222]; [38276457; 8191284]; [60392666; 97731039]; [81078749; 56754939]; [79223323; 11943370]; [20562671; 35900418]; [33201164; 1658191]; [26834676; 97084661]; [54007141; 63189417]; [89750841; 5904455]; [97252595; 60924022]; [13747017; 50768422]; [3160598; 12122473]; [82628466; 32510176]; [72569594; 3267746]; [92135949; 37328226]; [42275676; 52102479]; [38989944; 36256459]; [73773425; 29212631]; [14156831; 52362619]; [98350307; 93731110]; [97736265; 37114377]; [51364340; 21795428]; [82449348; 18859308]; [26511108; 80204249]; [11499381; 17117829]; [43800541; 21006748]; [46288702; 47435673]; [42005462; 57720197]; [63970922; 6060546]; [85495239; 90290974]; [85299567; 28152919]; [28313094; 26885462]; [76920030; 87548242]; [31820460; 33467813]; [24691867; 3720422]; [92768422; 10147888]; [39478524; 66238709]; [84140509; 32510287]; [45027234; 60272102]; [51028658; 62604180]; [85651877; 87071884]; [48446606; 37892647]; [29766912; 19242584]; [3380712; 61078126]; [19074324; 35710389]; [16891730; 52141359]; [97285592; 61366006]; [69402150; 90153731]; [99475323; 14518626]; [50428747; 43685775]; [37762419; 77894072]; [25163767; 8320174]; [38694525; 36940153]; [47479433; 27095763]; [81275117; 27126441]; [17669233; 27943957]; [33992618; 10825068]; [20983747; 33094094]; [14834740; 36870090]; [76850387; 78377072]; [86949909; 76552456]; [11618488; 11098532]; [88655929; 94289036]; [33739873; 98147642]; [61789614; 16329666]; [28715661; 32837516]; [68333253; 45429918]; [64083369; 12937860]; [42094393; 73469878]; [39702383; 50427177]; [63611561; 57008069]; [3564898; 15356980]; [54304795; 18003719]; [35052714; 72548445]; [3789403; 73694342]; [8136206; 85537512]; [55589507; 19733775]; [9521243; 60152650]; [192273; 87072012]; [84809365; 27509810]; [57465871; 4891113]; [86952697; 44687758]; [14050211; 1792649]; [76921954; 59128369]; [60848765; 85712727]; [26079679; 77926279]; [23429269; 2843756]; [94955316; 96834375]; [1747411; 35608019]; [61085919; 57610004]; [835822; 32880216]; [71737538; 41919481]; [45261214; 19071548]; [33143242; 76003584]; [42746144; 92335487]; [96188168; 30597975]; [10118957; 83923076]; [45230833; 62481542]; [17296504; 44874614]; [92567254; 38415856]; [93198058; 70751175]; [50684314; 45379771]; [57423075; 58174702]; [43037713; 89728911]; [63453808; 29208794]; [71950429; 95831711]; [69788875; 91247307]; [62653075; 52675767]; [64036370; 65802970]; [61150796; 96147564]; [27107856; 53694985]; [56448907; 89424159]; [34808968; 22824833]; [75997189; 39314530]; [99539061; 68494836]; [76012268; 3382917]; [55849514; 48641441]; [65392500; 89045455]; [19893500; 78743730]; [92703503; 58719334]; [3850553; 28497170]; [50338582; 94783227]; [77533960; 11495025]; [8393188; 97553108]; [60838715; 3168641]; [86395332; 17706418]; [34269091; 46811519]; [89023132; 41782543]; [50068924; 51969790]; [65763716; 66095412]; [65095280; 3068073]; [77631057; 22204331]; [73484925; 8219386]; [40215281; 38923229]; [48250476; 97456092]; [58900682; 87879708]; [24311289; 16644521]; [35154586; 50639849]; [54559214; 44537152]; [27040780; 86779967]; [23324819; 92308580]; [18506807; 35634259]; [63528784; 40571879]; [33438409; 32504864]; [40880960; 35666559]; [67149487; 67576421]; [98305196; 81977354]; [47284567; 38589350]; [42298524; 8353777]; [48067444; 24156991]; [93643667; 47079286]; [79802403; 51374848]; [67448718; 72407274]; [61937542; 96994751]; [12972142; 9686304]; [66004521; 3003314]; [86645803; 89855444]; [42320594; 66831307]; [95625165; 98757845]; [7025538; 15920698]; [59555575; 15722737]; [83100011; 46661376]; [83859285; 26646477]; [62324743; 41318716]; [5575149; 15707321]; [94728898; 54223078]; [14514887; 78815311]; [5354207; 4970924]; [37433802; 97605528]; [56345451; 77872504]; [56690751; 74505126]; [62786828; 86677726]; [88928793; 54435539]; [36641287; 67021487]; [15564021; 56186871]; [91821040; 64986245]; [68988952; 47010463]; [45351548; 4242848]; [50474950; 56890465]; [55456225; 48370633]; [46424185; 3350231]; [35349466; 84433725]; [66070035; 39869711]; [63998869; 77722755]; [43645383; 72319778]; [74613372; 89812458]; [74913561; 59630232]; [12440044; 22042194]; [54608500; 57480255]; [34531412; 98486054]; [52164164; 96562886]; [89346678; 23801990]; [8406963; 58732973]; [87288739; 97320183]; [59480250; 60924382]; [46328941; 76582792]; [64275837; 26829847]; [93895702; 26957981]; [28385846; 12503723]; [86420948; 11585281]; [83715239; 43233241]; [42364883; 87086252]; [85494139; 69365759]; [17734265; 60162546]; [45211200; 44850231]; [72657383; 18958965]; [58896855; 35649230]; [93768828; 30864141]; [92486688; 50671240]; [4961957; 43922452]; [80587618; 35529330]; [29261967; 93810052]; [10380087; 67563941]; [69559726; 55503504]; [34852513; 89742216]; [24161920; 28481401]; [40479501; 10951148]; [60342363; 4095468]; [46768224; 82303604]; [17738094; 17022247]; [27231645; 71022130]; [54406172; 96591970]; [96554537; 39535214]; [49633398; 35365661]; [36935194; 79005728]; [75553642; 48226292]; [42432684; 31946835]; [20756402; 51348822]; [35406347; 67354296]; [94138818; 66980715]; [97097115; 14924342]; [23798582; 90807346]; [4757005; 56163443]; [69399676; 54939347]; [32597324; 59667555]; [83266984; 22426241]; [29571465; 37917405]; [4003329; 70064277]; [22499149; 97202474]; [96929849; 76337480]; [52017372; 42896215]; [6939894; 24278531]; [78599008; 73939463]; [52746577; 22456783]; [46929217; 87998075]; [64349612; 21291524]; [20490142; 7054678]; [80835790; 6067340]; [12851862; 25094029]; [78876612; 81080406]; [89977027; 32085164]; [62283765; 80602660]; [51000348; 28382131]; [26637786; 92805647]; [13847207; 91502030]; [30151432; 16383361]; [90244739; 99980602]; [80404561; 39423245]; [4615718; 26522556]; [68051191; 71040309]; [58433608; 28216172]; [78320158; 80858883]; [56745981; 24622187]; [89627489; 15519008]; [15850746; 28592929]; [39198129; 14126026]; [97589015; 19040]; [26370061; 63177311]; [28320316; 58926099]; [53960345; 42158688]; [51985642; 42375653]; [21548763; 65494892]; [3811551; 30500041]; [62814299; 97034729]; [18258016; 22960781]; [40830601; 17876855]; [48682992; 79363753]; [83813328; 80526552]; [77298361; 10187620]; [93310184; 61080654]; [66241840; 16792138]; [46838140; 45566814]; [96044727; 94506238]; [57919052; 22173646]; [85065673; 25202476]; [51281701; 63013093]; [40543707; 47618934]; [11195127; 78296120]; [42497670; 31388577]; [37278108; 13590139]; [5116388; 53525579]; [18465930; 13322954]; [4753405; 3050271]; [32302828; 9560604]; [15528624; 58763035]; [69063200; 16920139]; [48031215; 42833349]; [26262154; 24064175]; [66187874; 11102729]; [73563474; 33123148]; [26789790; 96500933]; [21096610; 77551753]; [94447824; 78449710]; [38236650; 37774545]; [99673964; 5006571]; [75574386; 25097556]; [5060387; 7019762]; [51861185; 14055118]; [40719375; 40922883]; [74824945; 95414875]; [30548879; 9552718]; [11410919; 15303590]; [55878664; 56947990]; [48847932; 25721977]; [67155127; 83423904]; [2758394; 98379250]; [76546164; 82394632]; [30072322; 94687207]; [60391584; 65732587]; [77849255; 6445876]; [94158366; 10064035]; [75186245; 97007140]; [2351706; 7795331]; [28562990; 98666813]; [260977; 9683607]; [89117669; 39612366]; [63736595; 92177170]; [93625774; 89575756]; [12461216; 35911480]; [43067781; 38143273]; [72002762; 15070417]; [74409298; 94447286]; [63366269; 70529009]; [13866361; 47485173]; [19580939; 13321711]; [77854248; 61489032]; [51897810; 96109686]; [99373596; 42525716]; [19076328; 43870145]; [68711861; 25934627]; [84394229; 59467380]; [32614889; 91715686]; [49952579; 86332174]; [96537325; 47383478]; [76459980; 89716590]; [41926821; 82124870]; [85135077; 57087681]; [78647966; 70652574]; [78445852; 56719392]; [3606224; 82538397]; [35626646; 61034812]; [4013210; 96576820]; [66437215; 13443619]; [54106944; 29859899]; [9523736; 87536911]; [83258906; 48885135]; [67842493; 36475045]; [91262186; 6380946]; [37076039; 20142390]; [90132126; 84051609]; [31386255; 36999624]; [59372761; 80006177]; [26934818; 6226272]; [11822183; 58820071]; [93497866; 79252578]; [5168442; 9353789]; [44291430; 51875129]; [81101133; 31088272]; [56320965; 86198567]; [71231483; 11147844]; [21703450; 31712017]; [11122486; 49142894]; [48385536; 68322544]; [54367833; 23647166]; [27232062; 28577956]; [72086150; 95906325]; [78143795; 33843420]; [28229708; 21236165]; [80599592; 4874131]; [79454591; 49803403]; [65945145; 47675547]; [39924527; 88400746]; [14153770; 75421973]; [304805; 95824736]; [89240585; 30552673]; [97046154; 90920265]; [66560977; 71104395]; [60022793; 69519546]; [52728320; 49210378]; [34104715; 15722787]; [69270447; 45887487]; [45223108; 16536849]; [73347102; 77680670]; [79765874; 77187201]; [50218642; 46101645]; [56109127; 71036994]; [55955729; 76479626]; [19767324; 44031065]; [78269312; 65821267]; [93005844; 44231278]; [30104311; 11777246]; [51418572; 48985518]; [37449059; 60597379]; [15826927; 93473486]; [2129269; 39646630]; [16890636; 99815690]; [35878903; 42787823]; [67798522; 8175977]; [20119291; 19469837]; [22291165; 12003625]; [27689256; 81590043]; [19704987; 3199074]; [58707279; 64230073]; [69002710; 18298610]; [72066212; 38690130]; [63171652; 90798164]; [49182651; 8306777]; [22646544; 52155490]; [71776159; 59862181]; [26738263; 85239547]; [36409733; 84423757]; [7814089; 52907480]; [61226992; 47244754]; [64970183; 53258907]; [82487799; 40997795]; [40395289; 19728562]; [66966466; 81106412]; [27501924; 39599654]; [52204108; 78882390]; [15827113; 30864191]; [54010311; 17762870]; [46446361; 81943242]; [21964936; 36227984]; [15690227; 64061461]; [70676287; 23876071]; [83868625; 24911279]; [38319756; 67397849]; [87953894; 40616651]; [45752203; 21523482]; [89732209; 29509388]; [288735; 21686013]; [34669691; 90003447]; [7027143; 59239401]; [99299395; 33072346]; [33509354; 92227223]; [71747917; 27809262]; [65100274; 22887753]; [45804164; 10202535]; [30406018; 38935478]; [7748736; 19261989]; [97702610; 31073623]; [80326556; 8652378]; [91479482; 87643486]; [49202389; 31584803]; [5054940; 48394922]; [69407526; 43257120]; [32863149; 95564699]; [97325120; 21941645]; [84504983; 42267979]; [79122278; 14924270]; [69879963; 87911460]; [92195912; 80060805]; [17430232; 94966197]; [49838817; 51915635]; [4042615; 20022584]; [72450621; 6420381]; [56344365; 14735620]; [58978041; 60649489]; [8063382; 15556350]; [90366312; 92284304]; [92589461; 5107400]; [26040837; 66816396]; [66211293; 60289952]; [10132231; 20752884]; [56969205; 5240279]; [90526986; 74019149]; [94405349; 27713639]; [78970055; 10297325]; [4313248; 24328560]; [10334105; 14340330]; [97554073; 36705512]; [17065922; 7615561]; [37100101; 93989527]; [69860859; 84332712]; [6505641; 74418535]; [71091492; 1813680]; [39239843; 80952977]; [12901775; 77614827]; [59367916; 47341885]; [25117378; 29348672]; [33364268; 20921268]; [47117213; 44207867]; [43168467; 74797610]; [7075497; 42357145]; [45495127; 59135646]; [1467094; 37242699]; [93496563; 47824096]; [83885148; 31637707]; [97312431; 93363195]; [77820743; 71871418]; [4905009; 33264644]; [2416418; 60461628]; [80931007; 38975168]; [6204252; 65533453]; [96747956; 33366254]; [49245125; 62089974]; [93130021; 45456272]; [40458999; 48866570]; [90119691; 61029663]; [36193135; 51202591]; [76587116; 15600939]; [87674847; 48093998]; [33371091; 77359233]; [41391403; 73763913]; [7884126; 22430698]; [40242152; 68017848]; [10986007; 73300112]; [85559593; 15446052]; [83840113; 31158513]; [99833346; 7836723]; [19658930; 90791826]; [13728016; 37055861]; [60402665; 19934092]; [68772045; 96622621]; [52148023; 82495713]; [72958667; 80150649]; [67323094; 34234918]; [63951152; 63490143]; [38058070; 8619705]; [60586347; 34542901]; [35564375; 69627238]; [71936978; 82447632]; [4928418; 19591557]; [11660727; 89575707]; [50685394; 59901267]; [15196479; 95359854]; [64603390; 56616323]; [82235608; 29727839]; [62381334; 64810884]; [99008992; 41128185]; [51002017; 8623385]; [71603416; 41378549]; [78290177; 92917635]; [46796566; 99052926]; [51981257; 21835178]; [7131788; 94949959]; [77757466; 98027672]; [22552882; 26918897]; [91353470; 72906932]; [61618428; 35449829]; [7934331; 8685304]; [20159138; 55791005]; [48826972; 67962092]; [73296624; 79152823]; [40703833; 85638067]; [99490243; 83590974]; [39981246; 23716771]; [30963064; 98657849]; [49240614; 73892749]; [73261635; 42495009]; [38049710; 7692825]; [14192593; 13405726]; [36165383; 48232537]; [53576825; 83671628]; [35728297; 35453139]; [51041524; 80414599]; [8366667; 30676012]; [48463378; 39090204]; [87082463; 66277882]; [73276310; 26343484]; [41397127; 14981115]; [84971142; 49271626]; [85973004; 16282063]; [60440231; 92403299]; [49860250; 73207347]; [87469196; 47819992]; [35245604; 76614738]; [40430167; 89001342]; [31180281; 10511545]; [30299529; 3559929]; [14739985; 98183134]; [51501681; 45217885]; [50526342; 44279941]; [36502257; 75041362]; [62225294; 93027962]; [44642273; 14565575]; [18382259; 16223234]; [79132122; 79381616]; [80367865; 40615439]; [34101462; 31629437]; [64992721; 83595638]; [9347518; 99666176]; [86531804; 1544051]; [47765828; 79311219]; [21029618; 32307177]; [94536234; 65925537]; [89199213; 5765571]; [33670654; 45816524]; [16123123; 73243564]; [49655891; 35396624]; [3656523; 45394908]; [82789977; 84095544]; [37129556; 99423709]; [76755007; 59803046]; [37587848; 90061046]; [77784314; 83886630]; [51878420; 71008505]; [80117162; 16665631]; [85167565; 74581524]; [6489164; 3388087]; [25875979; 80230895]; [76200310; 18886451]; [62194013; 66786957]; [70416812; 18447743]; [12523043; 80534113]; [92161237; 77801423]; [68683856; 6705762]; [28540698; 29103995]; [51595402; 66185379]; [99441443; 38207018]; [89341459; 99176310]; [40706125; 52470113]; [10200091; 27373822]; [85119733; 10485709]; [1534316; 16126248]; [7307432; 70027514]; [10697923; 96859341]; [65617109; 45882310]; [57091882; 31833493]; [78990266; 95856091]; [12202182; 57249461]; [41413020; 46201272]; [28121415; 27990838]; [18288516; 79677824]; [9769490; 48871296]; [82495475; 29208729]; [25090953; 68650372]; [84926656; 94849717]; [61827797; 72905528]; [67399340; 82463971]; [52335913; 49134086]; [41060098; 91525366]; [58989354; 79353100]; [2573158; 9009080]; [4545000; 27426334]; [466627; 85887093]; [6891347; 46085685]; [61286814; 44518655]; [79320972; 66264643]; [52261738; 18384317]; [99592993; 75169147]; [38064672; 12256018]; [74500852; 8202415]; [11603949; 14949166]; [55956403; 25337817]; [47954819; 87886056]; [24629806; 33703230]; [99653911; 29672468]; [43405870; 752463]; [4810862; 97490169]; [44586134; 22299556]; [55373463; 35709798]; [77646231; 9642250]; [71774049; 51713646]; [31109402; 57887852]; [99082062; 97032663]; [39986783; 84908593]; [34549871; 55237981]; [40653885; 54774462]; [15742835; 34234057]; [59588956; 56329466]; [62010300; 70171762]; [31062429; 28556621]; [17265934; 74079032]; [25700490; 84385976]; [29877067; 74704837]; [3543287; 17977053]; [89411675; 13579639]; [858864; 73461825]; [74861919; 64900733]; [38501277; 90359786]; [60234987; 92803578]; [18495790; 97920848]; [13618698; 18509085]; [36920884; 87083637]; [68010116; 87182600]; [1562673; 64779058]; [3709984; 47106630]; [76589422; 72767867]; [92799122; 69989090]; [57015483; 81704998]; [3596768; 58935010]; [88705410; 78861706]; [14497849; 89643725]; [59412946; 79046384]; [35887479; 13121841]; [87158318; 11642376]; [63779044; 61626115]; [30548056; 58950460]; [13633822; 52267972]; [98630355; 50274703]; [26719893; 61277789]; [53836494; 15272813]; [74375759; 21456772]; [37612583; 48668505]; [1291889; 54965287]; [76696516; 3745308]; [29660730; 49180935]; [17943009; 19189639]; [99610741; 5196056]; [80949185; 92410316]; [3821053; 71969908]; [92222188; 6233692]; [39986674; 3764992]; [88282793; 71468969]; [12791461; 70205076]; [426086; 96988154]; [9908934; 31857548]; [60480149; 38773715]; [50346951; 39071347]; [12921621; 31728446]; [68742755; 75032842]; [67644148; 76349515]; [49371492; 90106704]; [95991139; 3341552]; [30392160; 98319656]; [83087247; 27204545]; [82982264; 29949390]; [50680881; 80524361]; [60286255; 18856170]; [48041675; 28412633]; [31979813; 85002189]; [23696163; 71814618]; [72634245; 16730780]; [93051362; 57021883]; [4048370; 41663384]; [72986881; 81990175]; [78108539; 66781358]; [15948078; 73378338]; [4847792; 49674567]; [84273514; 49171514]; [86669155; 89708817]; [68233478; 49858431]; [15954472; 11329203]; [8378397; 24038419]; [73451716; 48723582]; [82208456; 67545996]; [77536196; 84290002]; [24140986; 4728419]; [94530501; 26915031]; [81601370; 85080738]; [15290855; 63887754]; [36255122; 12780077]; [6528261; 63146091]; [27520859; 199491]; [18339886; 38201529]; [53161181; 60060100]; [3114008; 49448755]; [92909997; 85191446]; [18901261; 92793909]; [94554148; 99013368]; [4821401; 87090879]; [63673766; 74992600]; [46878079; 25007394]; [94337201; 9721516]; [96214248; 39518692]; [8453713; 48682116]; [40894180; 13008233]; [80852289; 19929220]; [85372803; 91399044]; [41320223; 50601682]; [87031986; 5171863]; [52827740; 31440910]; [32977540; 46174296]; [68641878; 73620023]; [96972676; 7591709]; [12288691; 60309081]; [88759998; 94209323]; [80114471; 93327855]; [38741954; 22552641]; [7621426; 81490685]; [32894033; 51106859]; [40220978; 33256827]; [23006915; 80443882]; [7208041; 4975110]; [45104134; 77237967]; [78671628; 15423719]; [29688211; 877436]; [19679374; 50526834]; [93993503; 26856348]; [61928950; 3818357]; [57175513; 38100358]; [46196616; 69191335]; [9540938; 76005907]; [86938767; 46453832]; [58772522; 89648360]; [66581008; 14475309]; [24175169; 85307362]; [85179937; 23704282]; [26364436; 70039807]; [52833037; 79710508]; [60894285; 1101715]; [24998355; 24879979]; [20229204; 62768421]; [36602562; 99119860]; [80213201; 24050019]; [78116680; 18648469]; [66133111; 59536460]; [8423771; 21495712]; [64449527; 21526904]; [50163788; 59894731]; [89577001; 37191018]; [11719951; 39537705]; [66869073; 5356574]; [97812444; 9164663]; [65426140; 93999006]; [56486697; 13452389]; [91349266; 53262908]; [57280401; 81917387]; [84717547; 60437701]; [65342858; 89981671]; [14364093; 47372924]; [80265276; 48872268]; [90313186; 72914015]; [68145252; 81261335]; [89637626; 19898515]; [9211160; 53005580]; [38225501; 26488451]; [70370165; 7292138]; [22580125; 72890417]; [89975795; 89396376]; [80792501; 92395952]; [47350583; 68489051]; [71014514; 99693586]; [92398955; 57123642]; [21341487; 35623222]; [25465974; 35573067]; [17954322; 56542954]; [91713697; 83639307]; [21799729; 68453287]; [8036192; 62925987]; [18156359; 47203876]; [84433421; 57127731]; [41552862; 94640542]; [42797269; 67138858]; [71317221; 18347984]; [79665382; 23941325]; [61922804; 26771654]; [34881061; 49640142]; [36316397; 97458661]; [48202028; 76199750]; [5990530; 39748737]; [79541408; 46312939]; [37871760; 83431763]; [85516445; 55093154]; [63874303; 61026172]; [40487904; 38650654]; [34758717; 53884534]; [28190857; 55190605]; [48114651; 95374395]; [1617648; 93812204]; [85716624; 6922429]; [61567090; 69684479]; [12193426; 11892376]; [19032354; 35324960]; [2844209; 46012405]; [24081362; 75379829]; [76038399; 61602216]; [1436835; 48244090]; [39797457; 3812300]; [46433368; 95542740]; [21013934; 63707100]; [99265231; 30820452]; [4472338; 110739]; [48089009; 46820712]; [95337831; 67026864]; [1800554; 13788738]; [6659748; 63545324]; [57810725; 84180152]; [84368664; 7123731]; [5038647; 52479761]; [49761316; 31079030]; [90442183; 76839738]; [44743840; 66664313]; [13553214; 67095161]; [68376468; 83886057]; [36213383; 35674500]; [59973268; 39479611]; [49300235; 57671309]; [34810678; 88612884]; [8899600; 43784602]; [62270577; 88545875]; [94482286; 54301626]; [10669292; 39004443]; [41116802; 39537396]; [79556242; 4091238]; [60445122; 33476434]; [18581917; 94946249]; [36582144; 68215450]; [58526540; 95549203]; [67564421; 61104937]; [19689982; 44822281]; [46940161; 44751863]; [60046689; 86308236]; [36118377; 10414503]; [39312835; 5757728]; [62438965; 96691171]; [75571853; 66493587]; [43735770; 97978044]; [78963151; 38740209]; [51712954; 75028818]; [88032857; 76662433]; [62600165; 86087292]; [56063304; 72542730]; [6307737; 49591822]; [56282100; 99212152]; [79655210; 28586068]; [1991812; 15621481]; [11507929; 8503514]; [19043284; 352798]; [85733458; 98723936]; [94750327; 50819430]; [25677569; 16981788]; [27086574; 70090833]; [60150629; 74291442]; [85723235; 11071016]; [77482435; 27845326]; [70548209; 45996197]; [84263586; 6507783]; [72752649; 68222879]; [37601577; 23995944]; [96291886; 38814989]; [98057747; 50652330]; [63471925; 74697550]; [39183446; 60906418]; [27779401; 77360814]; [89136026; 29862261]; [28984891; 16464947]; [51575429; 72421049]; [27141278; 58152125]; [40377474; 59753663]; [73171716; 20608984]; [75287651; 31674541]; [87790066; 52724189]; [70958353; 7654072]; [86149340; 29686332]; [39519758; 66477408]; [8979961; 42008260]; [41038147; 41261170]; [21582875; 5967311]; [55615875; 36430823]; [28085572; 92326041]; [50106004; 19328983]; [5205673; 99894918]; [57927120; 15065036]; [11130524; 74450179]; [86402425; 96990817]; [69585943; 40855373]; [20577814; 1045745]; [575553; 51148839]; [63991608; 88947602]; [64648707; 91484049]; [41332547; 55675870]; [39134404; 56131179]; [32030106; 72632512]; [52635891; 55654206]; [28191573; 64047723]; [72319189; 85835847]; [52937820; 66535163]; [30805942; 87094133]; [88524948; 16571376]; [95004776; 54475333]; [68539833; 23283148]; [35663339; 62646889]; [98389272; 3460744]; [87588125; 43931019]; [80298423; 86011727]; [84375929; 55863005]; [2677346; 26995362]; [53963640; 62327935]; [61528585; 51110372]; [20899820; 91068555]; [18768810; 56907085]; [79149303; 87049973]; [93680250; 58413758]; [81841555; 44486408]; [90646631; 84280424]; [88962877; 63957451]; [45339295; 71998671]; [36421305; 87419659]; [81742033; 99478279]; [17952712; 38363807]; [38605666; 43865803]; [42371128; 58032192]; [33935719; 46738394]; [84214782; 92809564]; [35683893; 86226331]; [40911055; 56963646]; [99248088; 9221673]; [87262278; 55018431]; [35437762; 78063979]; [31079930; 89147244]; [80887852; 86777252]; [77317781; 74081535]; [83835653; 60169890]; [13398339; 93195081]; [1889651; 42769159]; [20714696; 28831196]; [56819320; 21217966]; [29856031; 46149045]; [97524186; 76039804]; [18154486; 7826252]; [12477166; 28127861]; [41669570; 40919281]; [69125044; 98867242]; [5738606; 10857361]; [39564957; 70259047]; [29990144; 32935001]; [17148407; 39272547]; [65395567; 67618802]; [73617706; 41520899]; [10836844; 68334815]; [32504710; 98750435]; [11823491; 98574543]; [20551758; 79341265]; [14225288; 49447772]; [29870729; 21159396]; [97658950; 6945615]; [84408767; 94747351]; [85651235; 16782120]; [2729161; 88860423]; [14726787; 54806111]; [36834549; 68286735]; [27557341; 37776187]; [62501808; 80602250]; [22147559; 89082086]; [63013614; 8260221]; [32615484; 82013580]; [92042343; 86089070]; [32802515; 84663150]; [25386696; 4953967]; [88750749; 69947246]; [71108001; 63277111]; [89883300; 22328387]; [98538175; 73302403]; [76674115; 45496502]; [13915770; 58324164]; [16236083; 53706472]; [39317769; 6939818]; [1135921; 38109208]; [54305413; 67950162]; [95035180; 21405253]; [63892041; 15712568]; [96993066; 40272928]; [5082961; 86523537]; [12946858; 91215689]; [73792022; 65030776]; [70141921; 99050019]; [79837453; 50169677]; [60901592; 88801313]; [51974708; 47415459]; [71501311; 48359175]; [90983075; 34395579]; [4619225; 85500113]; [19292612; 11215611]; [17559885; 73458087]; [16672841; 3182050]; [84763888; 6832821]; [10495504; 7495087]; [8362203; 34601300]; [66386795; 18621092]; [81863307; 85247481]; [72523446; 35770316]; [3814586; 14866887]; [86532220; 98262810]; [62040783; 9324640]; [11226628; 87291833]; [63906953; 67652442]; [50466580; 52608765]; [20202070; 93842267]; [93850595; 56780260]; [49230413; 31258564]; [73055653; 23578216]; [49086468; 10787287]; [27286717; 14798294]; [95271183; 78015182]; [86559135; 86637289]; [70038337; 29225999]; [36067547; 85975314]; [4149601; 40324120]; [13790507; 49631677]; [28201263; 65807497]; [62689507; 6742943]; [25939116; 10304251]; [79182589; 11788407]; [31782295; 21966506]; [59914629; 52745386]; [82593066; 98713994]; [26460640; 91662662]; [44860185; 44735804]; [82512270; 15468890]; [14576515; 79731742]; [53818660; 17881315]; [82883835; 43656085]; [12299118; 39824099]; [45120339; 48268669]; [10644573; 41530670]; [78286299; 47362102]; [54242321; 86155243]; [12827056; 80351781]; [9787345; 10125199]; [86484332; 78521735]; [61392524; 19665787]; [91352934; 29034480]; [72999812; 43515034]; [68210547; 58671033]; [97777469; 41439347]; [95781081; 76462529]; [28388290; 23956073]; [69955095; 2643251]; [14903076; 46000516]; [68564432; 2396043]; [16806358; 25647722]; [95762322; 7440455]; [75246107; 40393715]; [46852785; 99242051]; [17985605; 51010545]; [71600674; 24596692]; [99673193; 43507947]; [43731870; 54401871]; [84235677; 59877690]; [39182528; 67713932]; [73883164; 38540865]; [56271957; 56598678]; [37994033; 29884863]; [70152623; 38899099]; [62655684; 31473730]; [87229005; 94426935]; [23089433; 11039604]; [51657788; 67412368]; [95636582; 92026296]; [739270; 91421179]; [18277413; 57439054]; [21479973; 56780547]; [14826305; 40929237]; [99030393; 24289625]; [6424084; 43085783]; [84182106; 93146660]; [52908928; 33128971]; [563379; 77150368]; [15910936; 54344833]; [28527145; 71999234]; [58235734; 30045046]; [15368959; 55618838]; [23731401; 15809562]; [84568448; 94358224]; [52310434; 14396170]; [12866270; 85161227]; [8147294; 27100907]; [14644697; 12988308]; [86814886; 56328523]; [96062616; 33000288]; [43492; 42872288]; [1308735; 19582708]; [73226365; 82013458]; [42877398; 47155284]; [61131995; 91573961]; [5368175; 49775244]; [83541579; 95216171]; [25996376; 97299460]; [60472736; 25745035]; [36559715; 135658]; [27034023; 2529021]; [15574043; 9814163]; [95685288; 33877003]; [6488726; 72863127]; [86611787; 61625491]; [72160841; 9591825]; [94241578; 56306536]; [14515557; 11355633]; [79835652; 69567738]; [32347551; 4447834]; [99852356; 45256899]; [3592061; 8733379]; [88285568; 50303272]; [82222435; 47002200]; [49435901; 52385753]; [57197360; 43406064]; [83658077; 81270679]; [43611326; 24173566]; [80890701; 44364474]; [31578042; 32327020]; [84797354; 68790099]; [98844546; 82215607]; [13133143; 28347278]; [47607792; 14586865]; [13203654; 20805928]; [65810052; 41564721]; [27340970; 31292345]; [58577100; 71996387]; [45044340; 33803146]; [51495212; 73659916]; [68337353; 80157551]; [2364858; 61803851]; [60481076; 37711586]; [65755965; 12512426]; [54465368; 45159482]; [35143574; 52675585]; [48284302; 59486475]; [63142528; 78569195]; [49509356; 42040314]; [6321649; 91693418]; [7721387; 63342487]; [39472802; 9281244]; [11771698; 17534850]; [66463702; 30368735]; [83643831; 55619523]; [28779109; 30408485]; [31559581; 25435653]; [30613955; 26970523]; [18043938; 80546540]; [6242657; 61889906]; [30138115; 33774578]; [76842749; 64858786]; [95137497; 58268840]; [11458469; 43364523]; [96346362; 56106812]; [3310966; 36176060]; [58408793; 8978137]; [87582500; 5194245]; [77252815; 94115123]; [88393064; 80908505]; [56671528; 64846875]; [99721155; 47450250]; [83487755; 96040373]; [22344221; 93839515]; [17645683; 94789064]; [19913233; 38798731]; [39806831; 56763109]; [39813349; 48707042]; [23837223; 57295948]; [3708646; 6506097]; [56949719; 68290449]; [87820078; 98916745]; [53730852; 41689466]; [32702683; 12918337]; [53242307; 29599474]; [17813243; 54939219]; [15306800; 5666487]; [88886587; 20633966]; [2533846; 84082836]; [84376846; 35875736]; [53171133; 30583247]; [99705135; 41579921]; [20873868; 32501162]; [89491389; 3426509]; [36881710; 34105808]; [24051547; 23708663]; [42528077; 33628909]; [86470796; 50658109]; [89182704; 52753316]; [42905344; 11917150]; [12050717; 62570244]; [58769996; 89626893]; [61171190; 93897308]; [90560646; 90298438]; [39181739; 35167782]; [38917778; 64218802]; [70756562; 92760405]; [56442860; 17873597]; [59313420; 25661344]; [87037097; 1679844]; [64911803; 60475211]; [84975036; 31631277]; [65435773; 90799470]; [83342578; 96807167]; [12959029; 73511548]; [19200888; 98987396]; [88569214; 75434633]; [28569235; 32181759]; [16307707; 25135731]; [83942488; 86239311]; [73173445; 77058214]; [96843939; 31377924]; [26689784; 26553582]; [20098093; 67883700]; [96344440; 29129955]; [54579673; 58244809]; [54494440; 55950807]; [96752265; 11009651]; [41620028; 19358841]; [52173155; 1745367]; [89371183; 91753858]; [49680068; 33024331]; [68469257; 98333435]; [34965291; 46037156]; [40365298; 51248008]; [76781542; 76741956]; [26734975; 15920882]; [46013256; 50502886]; [25221871; 28315373]; [30167908; 44758601]; [14442997; 73542810]; [70474333; 14904535]; [40221549; 46998659]; [11576994; 24116688]; [53185262; 99483033]; [79358437; 96547013]; [87805862; 76746093]; [51561161; 4743931]; [92179795; 40201588]; [73760106; 81805484]; [99445159; 36338670]; [88319942; 8671090]; [50735806; 74707148]; [45102661; 24790435]; [60381250; 78118086]; [62786196; 48953283]; [28825992; 73784193]; [60431855; 25987743]; [40669724; 19878703]; [48045449; 78377431]; [49737340; 77050116]; [43300084; 14197178]; [93950771; 86166767]; [93432786; 83443784]; [80755705; 52596860]; [94939630; 66906847]; [37778630; 32666275]; [89004093; 4022760]; [44307597; 22866759]; [45993876; 69452608]; [2711909; 27596040]; [6404134; 90605103]; [69381355; 31439189]; [25861247; 552545]; [94146508; 82951885]; [97654699; 53092731]; [35208626; 62504675]; [48536134; 49148543]; [51600681; 90235362]; [61095206; 94204077]; [15067199; 81707747]; [60889752; 81987496]; [75390080; 32340345]; [84205018; 4296274]; [54182908; 91722328]; [33128549; 74994898]; [59201961; 20320438]; [56082240; 84670138]; [17687426; 99238123]; [98370247; 41537952]; [18984659; 42028665]; [74624472; 46807387]; [50015167; 44769733]; [73343540; 88677535]; [82643581; 1966307]; [74082553; 7841354]; [20172989; 8221316]; [50989501; 45821903]; [52136313; 77825862]; [96380673; 33392252]; [22778822; 9319433]; [23476808; 10386787]; [2673447; 22255457]; [16844999; 22623784]; [52488897; 42662464]; [49771971; 50444224]; [39512876; 94888222]; [97479960; 63944813]; [83369207; 31839391]; [99583027; 59926635]; [2220139; 77407660]; [18807584; 38250041]; [95190815; 80862661]; [38839156; 16573560]; [64041933; 5244903]; [17345809; 3764936]; [38225875; 71550987]; [92020728; 69147500]; [36029263; 35918725]; [93125146; 99491290]; [12485007; 90584914]; [4793799; 19089190]; [44674282; 24559383]; [30385073; 27828464]; [39061916; 96886080]; [71182795; 33823968]; [28413592; 77625521]; [87889438; 78210107]; [40678764; 17582870]; [99372635; 74523337]; [96526608; 40134059]; [28057140; 39590543]; [41086258; 9311990]; [14356304; 82782123]; [74966541; 84494058]; [46290743; 26088544]; [76654; 41562935]; [5321745; 87715563]; [17868688; 21101792]; [93372198; 71476327]; [17102831; 98354792]; [91781719; 2000730]; [37101310; 35777661]; [81051758; 50838331]; [3177089; 72918236]; [8858402; 76625407]; [66697096; 7102428]; [62146302; 7870834]; [64053144; 77746635]; [79242343; 60443596]; [38684875; 16438752]; [70898233; 18208934]; [662600; 36600352]; [35735374; 94942225]; [52460428; 10079666]; [10780677; 17189257]; [46557178; 55267936]; [38707762; 15136746]; [68725017; 38426131]; [25167922; 16019017]; [38317760; 38345706]; [28423525; 30266824]; [33285545; 99138860]; [84520564; 41444492]; [31850825; 48295190]; [63717765; 25488278]; [80231292; 94994702]; [30165106; 42576314]; [23810523; 40230323]; [83641086; 38098103]; [66678719; 69231266]; [43065342; 15570081]; [88719574; 79022922]; [14522450; 51550200]; [85293291; 25206392]; [92001645; 48671918]; [39697024; 2938925]; [791648; 91770582]; [83914007; 27327319]; [95677798; 39375375]; [67236332; 44738874]; [3755700; 28940680]; [33938509; 50190361]; [37099120; 76789373]; [97192900; 94194465]; [85338604; 40985190]; [83277693; 28194128]; [19692547; 27049216]; [74838819; 52586896]; [28443307; 16355263]; [28427678; 73676331]; [17553102; 6508156]; [28323499; 88769193]; [15097861; 75598371]; [50977197; 22255418]; [23739206; 35441974]; [66295896; 52210833]; [10193018; 60352954]; [99329374; 41630637]; [22974482; 83330855]; [64171669; 45419480]; [4487169; 21572728]; [13647021; 50134291]; [83451049; 42376452]; [99795434; 41678512]; [75933719; 44428967]; [55462049; 74970254]; [21583950; 40971747]; [21382706; 14486723]; [30347493; 45655997]; [20279165; 85271818]; [55021480; 20394538]; [83417845; 74405409]; [91062784; 90339901]; [36267198; 79747817]; [49333447; 36404246]; [84528187; 28622996]; [52059967; 23259958]; [32776577; 38834493]; [59053287; 8290404]; [69661341; 39890874]; [30266987; 72826333]; [72177312; 64524523]; [7147276; 56422851]; [7505509; 44520039]; [76522951; 25710981]; [79410999; 82215553]; [72102733; 19307368]; [99371884; 25174534]; [98279395; 63568581]; [78100563; 80120863]; [90249861; 19268482]; [54204369; 80176908]; [17434063; 63824953]; [4480075; 56140758]; [6254124; 84947530]; [9769431; 33024217]; [76797988; 10269619]; [68421212; 47010458]; [43751728; 83333963]; [30014592; 25800195]; [33868569; 55847304]; [27740771; 97358788]; [86998487; 32129980]; [18759021; 68250359]; [38385570; 18620353]; [17080727; 63742867]; [33265602; 69641264]; [80410715; 27516212]; [22843842; 51593332]; [33959106; 73757200]; [24726323; 9966201]; [4988848; 85157838]; [78589705; 98598497]; [93925264; 96942082]; [93912612; 71154816]; [45481741; 23877142]; [78503625; 79229254]; [47160510; 21906417]; [39966024; 60086738]; [93523525; 18025839]; [71268333; 79374915]; [84163693; 37168655]; [83269096; 52236990]; [97543871; 27678265]; [16754742; 60479718]; [86809332; 31669938]; [14734194; 64757159]; [77157701; 92612451]; [15349326; 16983825]; [98150703; 77329116]; [18125879; 70533449]; [45661304; 13176522]; [71794295; 69482615]; [60060308; 27730408]; [41328454; 10627463]; [29337129; 86831046]; [44174736; 44969344]; [20804475; 3232586]; [19002052; 56252238]; [26884948; 38288581]; [30356033; 64309860]; [34635944; 89114473]; [54260110; 6269214]; [54963665; 69575204]; [87957883; 16644694]; [75410821; 21652094]; [69204781; 43968249]; [99921771; 73246265]; [47485123; 81291618]; [56786665; 21747587]; [75198281; 46914818]; [74350635; 2110729]; [27734777; 32952663]; [83886023; 67294353]; [76660021; 48602287]; [79624297; 90770322]; [2722871; 93272774]; [51048272; 73238705]; [66165219; 58745904]; [27771142; 62841134]; [96733520; 11779085]; [95771173; 58034233]; [14093014; 44292579]; [91138804; 56170701]; [9189893; 53913554]; [93437964; 23337794]; [58094393; 53537387]; [71628527; 61589953]; [42630450; 60222671]; [71575511; 38521964]; [55918312; 72237178]; [42582554; 57778872]; [45449108; 12842996]; [46455490; 56200899]; [876650; 54228135]; [13267117; 48595645]; [22144283; 94579518]; [15677422; 41717965]; [81991766; 49288010]; [1792366; 91797640]; [44251210; 83965317]; [85304493; 735349]; [55383414; 66092244]; [85972836; 67007695]; [21410800; 44975412]; [5727092; 80604015]; [81588722; 26552332]; [4458675; 29931392]; [72104285; 91416346]; [90339118; 48392208]; [89659435; 28078037]; [13462258; 39660197]; [23164283; 12229462]; [13474450; 78643254]; [91630349; 47814499]; [14509615; 67881726]; [8724799; 42648628]; [23364117; 66023251]; [40133394; 86664958]; [76597735; 75401022]; [23969213; 41403309]; [46744604; 88608335]; [65286080; 66754958]; [66684993; 34258167]; [62105974; 56203207]; [76999649; 58976267]; [32474988; 29094847]; [53272934; 51577556]; [76038115; 92150597]; [69702570; 24237151]; [8259072; 84008424]; [64308850; 50390121]; [33242155; 80175904]; [59004709; 17300864]; [55986816; 9995567]; [54302902; 21901848]; [33313457; 66764974]; [53969380; 54601637]; [96889593; 2809824]; [523586; 27033164]; [45309781; 12071198]; [34430123; 76197329]; [46363548; 63573044]; [34827834; 57632563]; [26454635; 68646864]; [83987890; 99678609]; [21825002; 2927970]; [6699685; 98603001]; [54531568; 94389023]; [55736806; 14954286]; [38034542; 97253032]; [94323226; 28940743]; [75001117; 1009879]; [2847339; 97886762]; [66190357; 10422904]; [92169028; 25194624]; [4271538; 66678172]; [86060101; 69058938]; [27849865; 89960203]; [12737885; 36413334]; [97747525; 20830842]; [76611603; 80990775]; [38051275; 74142617]; [1484204; 37544257]; [45281018; 6911022]; [66383728; 90618367]; [43928308; 82966684]; [96367578; 84233703]; [93831530; 98204964]; [28103581; 6043540]; [12691889; 66329072]; [54364428; 98188004]; [18624793; 85246917]; [60887836; 70165824]; [23955203; 42339748]; [10926852; 13029065]; [69530234; 71864443]; [89227527; 6755136]; [2339004; 54683687]; [41310357; 72591904]; [80865524; 25409976]; [62753645; 50275525]; [21461800; 84302639]; [33979946; 748678]; [5830748; 37260142]; [30023188; 66885003]; [49486992; 54585286]; [34769340; 70088961]; [91273691; 35164653]; [79540616; 76739729]; [44890915; 90814025]; [78686627; 23059201]; [94245928; 18856361]; [18715362; 56903165]; [69506574; 94188264]; [4023226; 74529674]; [1330124; 99045941]; [53263513; 37597639]; [76990576; 33666357]; [46127003; 46621237]; [83731796; 13922446]; [96358271; 27846]; [74726713; 45175958]; [39283702; 32730597]; [21574352; 2216255]; [87770376; 4688662]; [35347576; 26741311]; [2516557; 92296522]; [37686913; 53551194]; [15102586; 13663419]; [74137833; 17210901]; [76538749; 58026962]; [37767993; 25148139]; [59098973; 10641496]; [45537868; 3457455]; [92664932; 10498246]; [20298221; 23338046]; [37154718; 36385912]; [2159888; 29958490]; [616142; 44448474]; [16824922; 37449735]; [67535147; 12568569]; [60138092; 41792094]; [10369090; 75473576]; [87334860; 19741431]; [98442042; 19839123]; [42505712; 62532578]; [418680; 36740570]; [71619587; 42083034]; [31976373; 51379462]; [43052352; 23948262]; [64017151; 17661125]; [53071051; 86237155]; [78533769; 46086962]; [52081108; 31259934]; [34653775; 13218674]; [25389635; 37401454]; [25433750; 82589004]; [72547178; 19428117]; [90448039; 1780927]; [46072068; 18133616]; [66992338; 9127138]; [9785424; 85352360]; [98420228; 45163410]; [60450623; 53517013]; [11178644; 20157301]; [46677055; 30673514]; [97087176; 48223641]; [38167089; 61145022]; [29468785; 18434717]; [45266507; 98276038]; [66865682; 71528958]; [64523990; 62988771]; [60314501; 43623847]; [41286313; 72772954]; [70083772; 82449061]; [62255470; 67473820]; [81711102; 35537716]; [83629027; 6466745]; [2652100; 41760430]; [74172705; 37358822]; [25845604; 1103886]; [68250794; 98497045]; [77578236; 23471719]; [80640608; 82348482]; [71718826; 74478614]; [25118458; 36089914]; [81480958; 342082]; [8956183; 39541921]; [53314487; 75120613]; [60873813; 23428554]; [73922286; 82540948]; [34609368; 44138533]; [86376159; 14862389]; [13837073; 71671939]; [36197262; 85915632]; [34564630; 31722776]; [24101935; 77284452]; [47269797; 79829768]; [29187078; 62344214]; [38412800; 82891894]; [87558317; 3086898]; [24083153; 6066806]; [803381; 6652381]; [89202332; 90554920]; [15601846; 80605029]; [40331099; 93352538]; [98730477; 19555997]; [17197252; 96902779]; [84723199; 58881559]; [62053755; 27850160]; [1054111; 75252830]; [61912100; 91067421]; [90758185; 71521747]; [12258052; 48213573]; [19911428; 98150397]; [20509436; 98866532]; [36302209; 78161671]; [70325811; 5555828]; [63404899; 26311952]; [81871549; 89249213]; [53114590; 39023531]; [38965794; 23121281]; [87320086; 24754003]; [19905048; 31956420]; [49163084; 2829542]; [98944881; 10362585]; [32348145; 96358087]; [50855114; 12974683]; [34202712; 51980817]; [65349112; 42508498]; [11122637; 53385536]; [39078005; 58061843]; [42153777; 49876598]; [46773464; 98810381]; [83954636; 97472550]; [89553651; 3307146]; [39998449; 279205]; [45076123; 64253227]; [65560705; 37417487]; [65577453; 48040874]; [54073405; 38041667]; [63759521; 19353202]; [8575756; 78731136]; [75650374; 74231622]; [66273731; 97760828]; [91970888; 86402903]; [32886719; 45843208]; [43835990; 34854523]; [33708866; 79043277]; [68258490; 35701763]; [1218556; 70567302]; [87029540; 96663023]; [23210194; 48186972]; [38646826; 51490233]; [3486944; 72560378]; [7681559; 76237301]; [77519126; 53590679]; [24173223; 11881189]; [96663165; 28383306]; [76712653; 94156377]; [41371521; 60606002]; [12776203; 64775570]; [88533126; 99447075]; [4464546; 18679791]; [14054863; 65071607]; [95086450; 1518133]; [41227419; 13421022]; [9718167; 4419771]; [14219475; 68785562]; [81167950; 96067207]; [37087051; 97148420]; [60972946; 58488001]; [2917799; 14928903]; [26990685; 35337439]; [55128614; 6880723]; [23997017; 87235160]; [77934302; 93263993]; [17934709; 71108260]; [52849190; 96849651]; [47547427; 11246774]; [31198942; 51427886]; [73171076; 29344955]; [51504721; 58203768]; [42473357; 23542840]; [63015147; 98368860]; [71622198; 82154071]; [62570887; 75076993]; [80305970; 11301131]; [46561264; 57495854]; [36113245; 7326317]; [61105080; 71835504]; [43733794; 43754775]; [72463528; 12776184]; [60791002; 21875908]; [65051909; 4069704]; [55540651; 46142067]; [73452497; 3591130]; [58066891; 829800]; [26194167; 69709089]; [49870198; 55852247]; [167176; 51639181]; [54551181; 84174028]; [79411904; 31888970]; [28611375; 39023487]; [40779877; 6013362]; [97824614; 6251933]; [40384607; 94113480]; [65252794; 39187023]; [49899313; 94964242]; [73687859; 75232573]; [31746935; 1831092]; [9823485; 81696174]; [55830938; 64299297]; [48686353; 11213570]; [16693085; 75807453]; [40397046; 11787895]; [98592854; 50958731]; [12689911; 37643389]; [98546473; 51966669]; [99361351; 67615352]; [14944133; 61430045]; [18015914; 18909476]; [3873083; 67864286]; [85256830; 49554572]; [97859409; 29245644]; [7942973; 10325575]; [37195705; 58755008]; [34927775; 62010872]; [86290145; 13090323]; [7737699; 66043037]; [34932352; 45099832]; [39307934; 95830859]; [68853061; 20977903]; [47766152; 59338330]; [56512893; 99797295]; [68175252; 92229535]; [34459271; 60221218]; [311134; 99076103]; [37685097; 33358475]; [27591189; 18103240]; [15899826; 68983159]; [63782280; 50464989]; [54017816; 2792688]; [32528296; 45488546]; [98295144; 53456338]; [40435550; 66172090]; [85616255; 79129607]; [52187871; 77410535]; [28603773; 7670416]; [29388181; 37623669]; [33319385; 52481092]; [96956018; 93681274]; [55859275; 68874167]; [55110596; 66342730]; [73581598; 39221969]; [29705753; 75920737]; [60171511; 47490118]; [29831513; 26458763]; [56857720; 2890010]; [65000596; 94705391]; [97653007; 53983977]; [58173694; 74605788]; [79234598; 77273580]; [28279675; 40395138]; [37374716; 71760873]; [97749250; 68351856]; [98351880; 56647156]; [97470647; 96964978]; [53735183; 73098979]; [20693019; 260113]; [67119564; 79408477]; [9204578; 62320355]; [42964628; 3347413]; [45891464; 7931691]; [71096249; 11175699]; [47193060; 4348600]; [80859794; 54470304]; [4652822; 47068643]; [38652365; 84410810]; [15877462; 68730749]; [92546491; 22463912]; [38536578; 78235563]; [91020330; 56537186]; [26176885; 90593977]; [70490797; 87134080]; [37728751; 42666453]; [57585424; 53489611]; [13773512; 35089016]; [80878243; 78723656]; [56472976; 89500320]; [43191360; 59990499]; [1834511; 80084375]; [37307916; 93034768]; [66462416; 75944680]; [32155064; 55352047]; [47990420; 3419427]; [47336991; 20318615]; [1401812; 14336591]; [72371583; 18401163]; [17617837; 87159814]; [10784241; 47459446]; [72759026; 68085775]; [59963955; 38026071]; [88306569; 11190250]; [38672240; 35701331]; [43899977; 30185812]; [81205645; 24800906]; [20935173; 59640292]; [11599934; 37767409]; [95723960; 25954427]; [56875504; 61726031]; [50120977; 35199728]; [64161398; 5146202]; [76458437; 25495863]; [19748404; 24377893]; [3447398; 36560230]; [65398397; 95894787]; [8649279; 34526910]; [9683760; 81183682]; [26248649; 98228716]; [60043443; 53332350]; [31805368; 2598139]; [44438874; 16581947]; [40109014; 42948015]; [92524062; 75243048]; [99928378; 82093043]; [27441982; 43886435]; [55040282; 21081792]; [52545346; 92705000]; [11057310; 17823960]; [39532182; 71197962]; [22963720; 62738580]; [12841105; 69746516]; [52129054; 7058494]; [86072567; 26935848]; [24637107; 49215015]; [75093343; 71962069]; [6429158; 95388278]; [41846853; 89855208]; [4393148; 36470388]; [25511236; 27748643]; [12349483; 18428149]; [19736182; 51911752]; [69474423; 1507239]; [24277035; 35057224]; [27190483; 57116063]; [33568842; 69035255]; [12211740; 22149522]; [80088789; 99002162]; [82781721; 53613903]; [41113014; 28076336]; [69496901; 82124934]; [51698038; 65989268]; [68833276; 30636861]; [51728897; 60897168]; [18836178; 91647017]; [37190309; 56830975]; [63982029; 98022738]; [99430809; 89163695]; [61522442; 56030690]; [70241022; 45226812]; [80614802; 42911349]; [36766487; 40228400]; [69810868; 48508842]; [73385592; 20092396]; [8903249; 27707163]; [64142359; 20542062]; [2390096; 57584638]; [96537307; 1163617]; [11775215; 21527698]; [68297019; 84563380]; [65693542; 75084378]; [76272964; 26861071]; [46908931; 23303387]; [55055596; 63310550]; [33448789; 68610814]; [29980306; 12162573]; [90718862; 93293119]; [93778554; 92703553]; [1718851; 80221443]; [65985838; 21568074]; [32616190; 95265312]; [73577744; 2929364]; [46371141; 9061312]; [49949863; 23991742]; [19647908; 85169249]; [44004531; 3373632]; [60759581; 80582667]; [66781882; 32176241]; [61165113; 81927386]; [37855759; 51473341]; [66866828; 61926163]; [61290982; 48554517]; [18266448; 14719383]; [7669511; 23547123]; [44995476; 66356402]; [11856135; 13390777]; [23657631; 55848191]; [83312629; 78910266]; [75821545; 17771728]; [93069433; 18322436]; [60146383; 92016044]; [46365031; 97545290]; [9575701; 92389588]; [14478759; 14224805]; [13937801; 6095647]; [83081408; 35432737]; [1955063; 94274284]; [70502791; 26038201]; [44417546; 19641855]; [2447820; 17932195]; [14328766; 59855334]; [22915018; 8642976]; [38603391; 2884285]; [71768824; 76638728]; [5412813; 5653405]; [44692614; 89337048]; [45808742; 73372551]; [64372591; 84970075]; [76134582; 46757382]; [11359918; 72891479]; [83199145; 87890742]; [99563622; 33710641]; [72777153; 25748731]; [49279379; 91637144]; [82723793; 97447478]; [77564938; 13350518]; [91078954; 60998465]; [22387939; 32643063]; [2941535; 17654617]; [96848076; 973839]; [22493619; 35947437]; [38217172; 6689704]; [12549777; 63097003]; [72848635; 7719620]; [93332764; 48816310]; [25819334; 90706504]; [92201095; 33518729]; [15280045; 6301353]; [73136729; 59748208]; [74922076; 5298662]; [61489005; 45007912]; [87117537; 40860259]; [6438283; 45114345]; [26404452; 45060170]; [79235863; 93038783]; [47255835; 95469887]; [33849137; 13791857]; [35554884; 50940009]; [96866376; 29506643]; [13784620; 49115883]; [6680094; 32936496]; [85512362; 49252035]; [87541014; 77280026]; [43859412; 62206742]; [91172399; 26019830]; [8583026; 79158033]; [53225414; 13742466]; [24382981; 89152245]; [65683565; 72995941]; [60767869; 16746883]; [56100925; 53175632]; [49160001; 38680592]; [88936798; 2309579]; [19455303; 99794603]; [67981715; 78852979]; [45601304; 60922728]; [34376633; 27181481]; [89293702; 77768846]; [17915241; 76813485]; [12723980; 89839975]; [17379200; 58411258]; [72217547; 89142864]; [19799635; 25195715]; [44806801; 91736736]; [67823035; 86416256]; [83487078; 6723038]; [35578431; 13735045]; [49955055; 10476223]; [36337903; 3191366]; [13218626; 5468588]; [56161376; 80421066]; [61908077; 76923512]; [90739005; 76326709]; [39356439; 7864173]; [96709479; 62284835]; [64046519; 42171222]; [19914933; 53684327]; [89067159; 51122054]; [98049137; 88143076]; [96273889; 44726504]; [49116200; 66551422]; [36635041; 17678506]; [12191783; 23160600]; [96172491; 60247760]; [88290212; 8580045]; [8205425; 61792691]; [66088970; 94312255]; [95838716; 96286110]; [65257589; 26927645]; [75072383; 75791252]; [92100076; 4067257]; [45675184; 43903658]; [56936173; 80544442]; [79253743; 8086861]; [40563886; 35188718]; [93797191; 66394030]; [73031209; 81363147]; [54770159; 91270232]; [40491024; 94604978]; [19633049; 37287744]; [82803699; 91019595]; [51766912; 6348094]; [20224832; 51575988]; [59117752; 50148382]; [7161094; 71185929]; [91125864; 94755107]; [12626566; 92635109]; [99835463; 61299053]; [35800440; 73949265]; [35383290; 67223839]; [27369325; 7147444]; [36340863; 13573949]; [6919253; 17915834]; [10031516; 20292288]; [53589132; 43070977]; [81644335; 54985628]; [28864536; 71955541]; [22447941; 92340732]; [48418811; 11540871]; [25072072; 62531327]; [52129729; 53079111]; [35131554; 32670279]; [80712981; 58383876]; [64593227; 88820495]; [1370258; 94362741]; [30927198; 17747039]; [50699604; 13010043]; [10269287; 45427370]; [46255994; 58173567]; [56078011; 71101048]; [84789292; 77194757]; [17919198; 66115842]; [61238927; 48193787]; [87694914; 3851925]; [58480357; 97362105]; [83168223; 54071613]; [74163037; 96637085]; [36964266; 96454800]; [93216431; 63272614]; [33739183; 55767713]; [77567268; 66968890]; [1387413; 34444977]; [46902702; 35702962]; [56629468; 98109769]; [57366052; 3826991]; [765789; 46407403]; [31867864; 66734682]; [10195052; 82215402]; [46962741; 7667221]; [94355243; 70653949]; [83131344; 78378861]; [40011928; 92743892]; [75635379; 9542904]; [38418147; 97568335]; [81834145; 44833421]; [65795707; 66538759]; [95900343; 34196370]; [27865224; 79864710]; [49081078; 68485157]; [35100156; 76320065]; [82413558; 57176218]; [61741602; 13801711]; [38491898; 17500821]; [17266130; 27736512]; [14022882; 84427034]; [76021915; 32259553]; [71032486; 42030793]; [27656989; 67064457]; [79329905; 9778283]; [55097221; 39725149]; [85854544; 94532142]; [93247519; 80393600]; [11076162; 67472731]; [56062015; 52248332]; [37558891; 97636321]; [74206314; 56468267]; [1638995; 14396984]; [51466525; 72412302]; [7451581; 86839416]; [97151765; 37623]; [16546321; 23715092]; [20880976; 56810126]; [19685509; 93697791]; [31488177; 83477940]; [91445275; 45996046]; [78312716; 69353875]; [86309475; 49450812]; [36283306; 20212406]; [77858939; 92711916]; [3868575; 8128038]; [40122974; 68636039]; [48214130; 4325687]; [20474550; 92833795]; [95987691; 91759376]; [91612875; 21721761]; [76479077; 55631369]; [37317344; 39106960]; [21124828; 62369283]; [26866080; 963321]; [10952998; 15329368]; [70334036; 17074224]; [29651226; 2101136]; [72225297; 26335307]; [48857857; 10390949]; [55210460; 71215713]; [8016558; 94277938]; [74330547; 35526309]; [61623595; 61759703]; [92604142; 75387266]; [11793598; 33141407]; [86411731; 10682240]; [26963295; 42199325]; [91202839; 5345313]; [56566503; 85320123]; [9082543; 12806863]; [70634360; 1584154]; [27857801; 61615048]; [24414380; 30591337]; [51736485; 88558504]; [78902514; 82528127]; [50499269; 50957695]; [22676642; 88780612]; [38428850; 90409829]; [87212344; 16155067]; [5780736; 63776514]; [82868133; 81728055]; [87497673; 61440021]; [78930612; 53697930]; [47069353; 6110601]; [5378641; 84871209]; [28746535; 67716546]; [84091916; 98305331]; [35630306; 76245031]; [33783285; 62041594]; [63405050; 39246529]; [31886516; 98813760]; [8497699; 87946193]; [71764123; 87108447]; [67554370; 41368984]; [3537184; 4692877]; [40291711; 8757928]; [66990675; 62568486]; [22544811; 44294165]; [1739187; 62827943]; [37041777; 15470425]; [86693821; 54947033]; [59268515; 35325442]; [37720585; 21991829]; [70485026; 49966984]; [56024875; 99695617]; [20635166; 52200441]; [53845979; 46613552]; [27610229; 95614150]; [10484628; 90457080]; [30420411; 69942475]; [25764963; 60035329]; [77522774; 21135214]; [66317168; 64432536]; [85086518; 57024440]; [43816430; 12154021]; [75612255; 78250504]; [99306189; 45322600]; [90475647; 53647122]; [56232186; 15957059]; [22157436; 78362704]; [82601225; 8671956]; [6226820; 15734885]; [41808114; 872677]; [75012852; 85493934]; [63437253; 36884934]; [94099292; 7903260]; [44079124; 748487]; [12660224; 20768221]; [37748062; 19767781]; [547321; 58049070]; [93203836; 73774839]; [62823502; 94822329]; [52335622; 43799956]; [99759477; 70035653]; [88855666; 49628875]; [27515764; 10385891]; [88945257; 67423488]; [51788403; 55077687]; [70157896; 22067059]; [11973113; 66395485]; [42228724; 28296189]; [11709631; 62555004]; [33159897; 12529878]; [26766998; 3990010]; [21567804; 6357089]; [81222412; 75979220]; [33800929; 86119374]; [44663235; 31215563]; [1742851; 88132844]; [76760449; 75994118]; [10645645; 54245516]; [19541582; 25975668]; [72147887; 89042868]; [40840815; 61968292]; [50904613; 73567551]; [13274043; 66811063]; [38887731; 55701348]; [53090464; 31227419]; [26367750; 61043969]; [47054617; 52033191]; [33103985; 15342164]; [99656453; 17163610]; [289698; 9982135]; [72249250; 83557327]; [99706348; 5075347]; [8074743; 31640274]; [33715413; 98336856]; [24585949; 61093865]; [8922268; 73175368]; [33006676; 74652295]; [11172229; 34165947]; [49103651; 27461615]; [55363992; 15534399]; [89742730; 22689698]; [31880825; 20869682]; [14692696; 63169906]; [56676670; 76592788]; [78935701; 46814382]; [99139805; 30622332]; [287140; 8267802]; [88491751; 79621445]; [17586311; 76282296]; [67397304; 98336878]; [76380784; 72525308]; [5256569; 12407757]; [49914788; 25192525]; [97966242; 20736760]; [42659201; 62239961]; [67281495; 73304178]; [83662555; 81452816]; [39963389; 92084590]; [20080177; 51122779]; [72823364; 32090228]; [6874404; 69242090]; [48269198; 77657262]; [29248091; 62454221]; [74987219; 13478621]; [78902771; 87752431]; [61955526; 44069774]; [17091246; 46411383]; [75022700; 26721527]; [22803620; 79628531]; [99454671; 4114287]; [95785588; 869008]; [20148685; 44014550]; [50831623; 27181490]; [37765399; 77054533]; [22772130; 95737873]; [71294722; 84336597]; [1597874; 42971334]; [33979651; 32350236]; [50212024; 82828332]; [86274640; 61169180]; [91357266; 58849777]; [18963895; 76049048]; [75674932; 42125417]; [93376926; 93410880]; [53962729; 14129338]; [30935303; 77527244]; [90285922; 68696425]; [91604801; 50046896]; [3239052; 14372906]; [15916531; 87009097]; [87519424; 45049842]; [6706443; 97002585]; [9112331; 7206148]; [83460672; 14426719]; [81621042; 59498524]; [41197252; 29372859]; [45964651; 58043538]; [68441529; 44217903]; [57779853; 22856987]; [91555445; 34237796]; [46450999; 35009423]; [41707655; 54285380]; [36715247; 68037433]; [80007788; 49190552]; [55182396; 81732598]; [374698; 24435423]; [30872339; 32690521]; [63116191; 7401599]; [23949439; 49107723]; [83733563; 31570509]; [93214911; 17882036]; [63844877; 30595365]; [67255649; 79052644]; [29251244; 95680745]; [84019665; 32781134]; [51433984; 40612120]; [60423792; 46812383]; [54637605; 54827128]; [78905311; 72334013]; [5766885; 15995166]; [96119636; 64050863]; [88686931; 11882101]; [74979492; 18772043]; [95317913; 40771766]; [2818127; 17232230]; [52508597; 9937047]; [15555953; 81405241]; [90184584; 36487122]; [90604465; 73219595]; [70505373; 76795241]; [19281096; 58892413]; [5001440; 99996723]; [91933978; 9185461]; [41572201; 11752685]; [5650787; 7908771]; [36605943; 46052297]; [86744989; 75602704]; [9876740; 42125974]; [96367264; 48607817]; [21361012; 41558654]; [84319212; 23033844]; [99974312; 34114037]; [22796247; 99824681]; [97639926; 16653598]; [27962225; 5123492]; [3581594; 10417700]; [80105626; 17647093]; [85155275; 99002429]; [36055334; 42764204]; [46241821; 9276958]; [21052176; 50659479]; [53803863; 66529569]; [66005215; 27582718]; [38943223; 30114867]; [62373056; 4181138]; [46407334; 13941012]; [98266163; 60904735]; [33207605; 82055359]; [64782257; 67068376]; [66972758; 10366986]; [57846283; 69022546]; [61183303; 28974771]; [39119189; 73062658]; [90686223; 91853870]; [5803979; 71767250]; [92120181; 75856017]; [42524324; 96935682]; [62192300; 82343015]; [62861906; 55634120]; [9340136; 28400302]; [24342875; 56204954]; [16016553; 6112061]; [71032217; 92407152]; [25719800; 23608830]; [87282025; 44270676]; [75161816; 53600777]; [98738442; 32595729]; [77355082; 15620010]; [99417398; 24315202]; [43031357; 33896964]; [96841931; 86812739]; [73558456; 60616814]; [36370443; 62731290]; [43091636; 61306315]; [35643420; 68957673]; [74527766; 79354242]; [66380434; 11277751]; [5806487; 37996608]; [60091467; 13501544]; [24679922; 30568422]; [38900132; 28867152]; [99718570; 20798961]; [14979397; 20030721]; [87332076; 80201582]; [96131870; 14944894]; [76338265; 76533171]; [98008573; 94417674]; [71945062; 17557200]; [83937324; 14499154]; [41869301; 11357436]; [72097888; 20768010]; [10942856; 15690142]; [66250695; 84886130]; [59361593; 19347208]; [45720388; 95532569]; [12887835; 64009258]; [86000285; 876194]; [19780793; 97304330]; [4771118; 7746122]; [37082291; 93400934]; [89135225; 84296431]; [67616656; 4397980]; [5025203; 15737725]; [21568595; 29587048]; [2449094; 47676058]; [72755295; 86816799]; [96348887; 22737310]; [55839712; 55527390]; [86368676; 99624933]; [92345539; 62356213]; [75540452; 31648339]; [16105785; 39880076]; [72161357; 48824378]; [82279286; 95802713]; [17869738; 80371014]; [33560295; 96587168]; [57890706; 17339580]; [43591172; 46734572]; [56874097; 24373697]; [28570479; 4731451]; [89312341; 59331355]; [42939353; 35497326]; [38034892; 76357682]; [87388633; 14058402]; [25283316; 94400332]; [24984197; 88755322]; [97592099; 43163243]; [59057032; 73897386]; [11478753; 5891114]; [22130342; 97811011]; [2029532; 36863649]; [25464235; 39540063]; [29720247; 28725311]; [33838354; 7765775]; [8286882; 77388142]; [65306023; 38592167]; [28452782; 76389714]; [63287950; 51924038]; [33257699; 26355778]; [27365480; 20744121]; [47050547; 82746924]; [93667807; 24154987]; [7408512; 99766709]; [65644464; 20225231]; [3529730; 29549535]; [33582459; 39514390]; [77100694; 38280363]; [41719304; 92186929]; [57334506; 36172491]; [35831559; 19450517]; [49774058; 87205205]; [77375473; 54830340]; [53179708; 68630387]; [46476059; 20923297]; [68071532; 55534139]; [2819851; 15254568]; [93975763; 75054437]; [27059398; 5070907]; [55737660; 1890831]; [42009974; 70378347]; [88373492; 70786442]; [51601636; 790812]; [89574070; 79956614]; [23726874; 43005279]; [55612177; 80704962]; [55311674; 54808349]; [46150805; 31586564]; [74651632; 23280254]; [63432528; 27328970]; [54057467; 76441810]; [63181486; 91314518]; [98558396; 31774131]; [48415583; 18712177]; [64030083; 52646045]; [50057020; 7286985]; [18716860; 53034770]; [54307233; 28753495]; [34796255; 35022636]; [26106312; 48425991]; [45936694; 56792020]; [22536963; 49219108]; [11705424; 49453993]; [83486969; 37674068]; [56120938; 70713074]; [50171098; 1243321]; [56148457; 41820032]; [79588791; 32692934]; [93638438; 6294420]; [98091161; 56583340]; [54994090; 58955532]; [60813781; 24783256]; [32655339; 86136752]; [11453715; 77727634]; [20503521; 11912108]; [79762139; 9450492]; [61573978; 171007]; [90987624; 56147132]; [89567868; 49795897]; [34333160; 28838863]; [86971187; 6584915]; [96251465; 39637363]; [53312084; 54633205]; [46247523; 48149792]; [15418030; 30414300]; [6347742; 48581128]; [48049039; 10852858]; [93844270; 3786222]; [44736775; 82539921]; [87022997; 40894306]; [99645875; 51555816]; [47491536; 86914427]; [89080503; 42787132]; [80236541; 51652358]; [90627380; 65100411]; [57012653; 82041656]; [96974226; 39631180]; [52744878; 76782910]; [19979058; 22306963]; [57918297; 36549558]; [85592798; 50411064]; [36012065; 97728123]; [68259972; 51252894]; [12304557; 14134795]; [38397949; 5283772]; [33134531; 20932862]; [84440292; 53117476]; [40111795; 36949921]; [43607117; 85699090]; [12585434; 96928582]; [83248558; 48577692]; [38344534; 29566542]; [86440665; 10369545]; [49079877; 98421518]; [19844296; 20645252]; [80957131; 36990644]; [70216523; 55294639]; [84374362; 90272196]; [45642039; 11979311]; [77686432; 98296254]; [9224697; 7669951]; [72337677; 20640364]; [65710293; 90379141]; [11433771; 78831928]; [3917674; 86593672]; [22552855; 98460788]; [92814091; 42047145]; [9929563; 17472578]; [75159401; 52923321]; [53687867; 58047531]; [64097369; 46686397]; [81967912; 53924838]; [60273064; 92419637]; [9078469; 31788836]; [1213165; 83856546]; [50620647; 55764198]; [70033528; 80295859]; [65543195; 55688207]; [76903227; 52104289]; [87350182; 51935906]; [89016887; 51225413]; [44850861; 93642590]; [21959643; 67707123]; [15950071; 4094425]; [15574873; 95354102]; [58007645; 4499315]; [81182240; 96420497]; [24830922; 37679198]; [17050393; 69172820]; [1392047; 53975342]; [26041494; 16230361]; [683606; 85480534]; [94506735; 38896559]; [34185902; 48179029]; [31562507; 2505878]; [55838728; 20750779]; [2601316; 44583461]; [93914463; 98493226]; [28135591; 30491808]; [22491942; 821713]; [30069786; 19810122]; [56596784; 69688049]; [86265352; 40149366]; [92540043; 89572895]; [60923457; 6445394]; [74379737; 14602961]; [43696254; 5910439]; [2328304; 82538368]; [21435324; 2194250]; [76402708; 60357547]; [11178813; 54727097]; [17431546; 89550746]; [21359684; 55721725]; [70393931; 2863785]; [5129334; 91948088]; [83534203; 54201461]; [96866697; 29867286]; [39237948; 83633057]; [11508028; 26666884]; [8885740; 49106141]; [4691384; 58236837]; [64733714; 7146767]; [28097065; 17121930]; [93339523; 21406100]; [61235363; 8718133]; [76609790; 62673667]; [93113073; 95843315]; [40922659; 5666923]; [91241135; 82366455]; [55903206; 20503648]; [97210691; 46114392]; [87230957; 85009748]; [29466075; 84113746]; [15166440; 13259727]; [81501254; 62764155]; [23366642; 23745907]; [89809659; 63372064]; [21371691; 82495172]; [40326560; 62935257]; [73873264; 62109114]; [67872566; 82631807]; [73609864; 72034364]; [74002974; 62310335]; [7113941; 85026848]; [12962049; 20764259]; [97531424; 41939367]; [53386081; 60900677]; [87268734; 92554331]; [38958720; 27802325]; [4907950; 12240760]; [79457612; 67444631]; [42157417; 13313396]; [33996611; 55299520]; [63048283; 45302647]; [43344443; 85261182]; [81455663; 27226815]; [85906046; 82073384]; [59171956; 45486786]; [38019562; 45815101]; [31350522; 13897074]; [72096454; 29283057]; [13815328; 96698384]; [45788813; 38012621]; [51055095; 26631753]; [31483962; 36599507]; [27253815; 90757268]; [86661668; 82892158]; [39541786; 40732944]; [52780665; 87875213]; [74088836; 94644791]; [44343898; 575600]; [84463877; 86310398]; [40395581; 56968111]; [51449537; 66860450]; [45868679; 57884465]; [85162021; 12499666]; [8255880; 39365634]; [73712780; 68356838]; [55581500; 6925007]; [52409421; 3393986]; [88440662; 23746844]; [92924327; 41834146]; [35434653; 24847329]; [1639377; 28264335]; [62513708; 55670314]; [69658057; 8411259]; [13022385; 45000202]; [8126255; 51905112]; [55380660; 93095566]; [9428610; 40890414]; [37702938; 454462]; [72726845; 81776445]; [68232441; 32942838]; [38706811; 35448134]; [22789580; 71563136]; [17299312; 43773811]; [6579752; 69587085]; [40900106; 98356260]; [63224607; 67039114]; [36703550; 77352145]; [81071053; 49931230]; [4065500; 46318316]; [16507805; 75532928]; [28738795; 70255005]; [78167426; 28344545]; [98385331; 48062320]; [66037921; 59681445]; [40769580; 57035720]; [89594949; 43277376]; [24660786; 14424217]; [16200761; 90856380]; [59328932; 56598040]; [27414960; 82057874]; [46787842; 10898358]; [12541180; 18881020]; [54887881; 97204144]; [83691541; 37944432]; [1583959; 31178739]; [28112033; 27323214]; [56519148; 4900040]; [38500445; 90565318]; [62733803; 40145908]; [75207148; 73435197]; [49054415; 36006420]; [29177973; 16370498]; [2543924; 85601417]; [67473403; 33822507]; [43052665; 8707073]; [92380594; 56031677]; [25313193; 13740199]; [21532058; 45906656]; [45753619; 35110190]; [58137929; 16165982]; [28046; 89571073]; [77277476; 34823087]; [88461797; 34623976]; [65856857; 66008127]; [46578649; 48569703]; [78372110; 39266159]; [94636496; 3617023]; [93235768; 68877931]; [28035510; 90190550]; [89195051; 26994732]; [40581935; 52469444]; [93445407; 8540477]; [99180625; 60810996]; [3030868; 57549558]; [52661386; 88242827]; [61236347; 96651953]; [53307212; 53539291]; [91904179; 89421190]; [12435306; 51239342]; [67554603; 93401584]; [13341859; 76219270]; [54400830; 90204980]; [89404114; 15600080]; [93042223; 56288026]; [15218402; 24310678]; [31669032; 75284054]; [91036592; 88673860]; [52004004; 98699881]; [36894596; 36610879]; [61887967; 63320514]; [62599763; 35711403]; [46115659; 30477597]; [84497636; 61576880]; [2900037; 23642004]; [17112940; 30748504]; [72712617; 23509919]; [93426002; 96333154]; [44959914; 77352369]; [83010473; 28261299]; [3391378; 25752082]; [91190694; 14484010]; [74204574; 35983144]; [96829018; 89323573]; [25367099; 80518317]; [526379; 8172102]; [30695253; 71101807]; [66822899; 35041477]; [91687288; 97474805]; [75503739; 41957028]; [82867422; 1262240]; [63474081; 86364537]; [47268660; 70412135]; [96042109; 6401068]; [62345932; 10157608]; [22214211; 14859354]; [59103271; 71263131]; [78264733; 74569256]; [40196600; 26982222]; [44542782; 4019049]; [19060243; 37873608]; [10939521; 248775]; [2454477; 90661133]; [82800906; 18071327]; [463081; 84412965]; [16424935; 58994840]; [51691200; 2474630]; [69918477; 91810197]; [62330756; 69870671]; [44576042; 76165025]; [7824951; 81425794]; [78005534; 94506623]; [40574213; 38567336]; [79412745; 55975522]; [63406150; 68855888]; [46329714; 66027977]; [10461624; 21399509]; [22378100; 16887077]; [49169589; 9869672]; [54029589; 83979548]; [5456988; 15609257]; [41853885; 43149067]; [52520423; 92894459]; [48861594; 47819760]; [68636294; 93208534]; [78832950; 91444769]; [40319756; 91213809]; [5459074; 60633592]; [6339052; 10809663]; [49348431; 28558284]; [80291429; 56215133]; [59191671; 45637693]; [54080782; 28030403]; [50966344; 33034766]; [49165934; 28445889]; [38465650; 32938224]; [56661942; 25550742]; [42160543; 25764000]; [3636131; 17874025]; [13573539; 83190146]; [91126975; 16392573]; [96020768; 67229942]; [94145957; 25644142]; [16934907; 98685093]; [12973040; 27982546]; [81320677; 3351508]; [30615642; 12896155]; [4631085; 5776071]; [77396885; 67384510]; [91732348; 74773358]; [18323321; 42548093]; [99992099; 46969385]; [27488752; 13770130]; [44973939; 49922350]; [55559362; 70466955]; [87551800; 30628575]; [86667670; 41132997]; [44245172; 17918337]; [72432899; 11411545]; [95806667; 19360245]; [27873675; 37521422]; [71029703; 32765413]; [48383188; 43751012]; [13162416; 51278942]; [4417512; 53634255]; [4979736; 88631162]; [83538978; 76163574]; [14997228; 58404336]; [14781241; 97491147]; [59269638; 62180170]; [21881356; 71861203]; [90022400; 54717217]; [25583070; 42937470]; [39125705; 62404117]; [53141740; 7025830]; [7641564; 73796933]; [4496083; 63473988]; [49178956; 64730642]; [23180914; 63083459]; [31672029; 44235701]; [57406729; 78692483]; [15294767; 19503424]; [82053438; 18828456]; [96570175; 40582754]; [56190370; 98328480]; [52677378; 76720217]; [8109958; 81883232]; [48952115; 97072526]; [82886679; 27068401]; [66249290; 24924957]; [7288553; 85534454]; [34975422; 12297432]; [3605027; 97266722]; [6157395; 86485928]; [73780515; 42753437]; [52884886; 45952465]; [53505338; 38154795]; [92611147; 37414559]; [15422240; 49320039]; [9404858; 58908024]; [73281831; 7313388]; [71460785; 46593924]; [71197018; 95419945]; [93667340; 59972759]; [66845363; 83179022]; [14419729; 56286570]; [28922390; 25079997]; [23078778; 68064820]; [33975241; 76042744]; [42852126; 8710324]; [39568837; 2172988]; [83218940; 91247113]; [16540554; 84658404]; [38875451; 60517190]; [34829786; 21337564]; [41740039; 4047455]; [91850167; 57846213]; [56028316; 75635708]; [91755180; 68044400]; [16944050; 73341057]; [51173104; 59299906]; [7833252; 44707130]; [30963726; 58538881]; [20373242; 51242128]; [39964466; 38169931]; [36249762; 23093514]; [62252193; 26328155]; [73111345; 92642082]; [49417393; 92280361]; [55809260; 26347567]; [50607175; 16208117]; [77298349; 67774104]; [3838319; 81871383]; [37864679; 42151232]; [82646770; 69304604]; [8443560; 99605895]; [87119865; 94328736]; [60443259; 55035219]; [57597431; 60713592]; [84482263; 13066747]; [635264; 8951447]; [20050526; 48701518]; [53796996; 45345881]; [94159630; 81214815]; [79445963; 26955298]; [24606439; 59885399]; [83490725; 79726538]; [79836856; 21883970]; [15854166; 52444204]; [75977659; 20767607]; [60196482; 23751266]; [18465065; 65158303]; [7852193; 74659522]; [10688321; 16536110]; [25841498; 43003276]; [86795477; 26888905]; [90269908; 37457366]; [78801866; 71453146]; [94764266; 77103415]; [42018834; 7364648]; [52271247; 88435175]; [99584021; 47815335]; [35706277; 73857598]; [12054520; 63293214]; [21840991; 67376142]; [31785092; 73648468]; [93955563; 42158942]; [96050897; 70271252]; [95173793; 39779133]; [30439341; 97420992]; [76586568; 23531011]; [6275269; 87809280]; [43949429; 89232201]; [6544568; 13322217]; [72556861; 33203930]; [68409825; 53948519]; [97233397; 23627908]; [9201490; 34839524]; [48762285; 45604210]; [27347935; 20182384]; [97289897; 83829295]; [18301886; 39533693]; [36284965; 41291749]; [63841144; 5175803]; [56198897; 14273829]; [34680364; 46782288]; [87915710; 99695404]; [47535312; 93631605]; [45645435; 86589719]; [9367360; 16726579]; [56814392; 32919440]; [10478133; 20055860]; [50675131; 9967156]; [24258132; 67284829]; [96201968; 63474799]; [23659118; 30822905]; [41199541; 83949895]; [13312519; 75597091]; [31869833; 94317860]; [36241049; 75730095]; [80218684; 95356722]; [4118709; 75788057]; [7863691; 41572132]; [22246368; 30036694]; [82386442; 25502221]; [70529918; 81252043]; [1333828; 79306977]; [91172375; 17636928]; [20436850; 53798671]; [18678004; 91722357]; [96319435; 18157174]; [20636641; 9527217]; [78646686; 43084553]; [38949207; 74513345]; [80524383; 22516324]; [27128510; 94837262]; [10668561; 44651789]; [47327973; 68934619]; [23881534; 80077623]; [36555402; 8435836]; [88966921; 36864704]; [26047389; 25193508]; [43202593; 41384079]; [860592; 61546959]; [77994568; 74460325]; [56216713; 15991893]; [9945205; 80961316]; [12746972; 89755961]; [36990919; 6128863]; [44474198; 61067658]; [41757974; 6041466]; [46421587; 94149642]; [86443144; 72456952]; [36662613; 98925265]; [5659677; 31570554]; [87758347; 54188049]; [66251931; 61134776]; [8596796; 77222996]; [41344848; 12995952]; [219541; 97664533]; [64534861; 66522934]; [74485777; 4748069]; [2147719; 66301841]; [73656128; 72933848]; [8291475; 36483512]; [20072330; 7953572]; [97941275; 43774376]; [92657252; 67931805]; [25034564; 96302886]; [39041570; 79080774]; [10521975; 86241590]; [91982551; 34841359]; [88607711; 59389084]; [95636727; 38949821]; [42158966; 31107475]; [12946404; 52693566]; [68304866; 76802133]; [98014128; 67295058]; [84275275; 84505800]; [37047171; 56688499]; [10171542; 70416229]; [57534429; 42749806]; [29602226; 45121141]; [57173367; 29634655]; [44722969; 99280151]; [19619114; 50496080]; [69614724; 96189872]; [17873674; 95453130]; [68412234; 50473261]; [35982957; 25179696]; [93416858; 70111768]; [29978923; 35766921]; [93077747; 79288982]; [93814636; 51289714]; [43661884; 98317969]; [32651622; 79218018]; [63705777; 96611139]; [63381226; 32332550]; [85081975; 2651373]; [44954788; 77349387]; [18073516; 98267375]; [66097999; 7042060]; [97665441; 45965166]; [91621412; 14562031]; [92857719; 82113516]; [78379795; 58305189]; [97101999; 36997844]; [73773835; 72118278]; [31755309; 64752395]; [77602518; 73347295]; [67532151; 42648623]; [95429008; 25654954]; [8450055; 69856971]; [83036451; 28884700]; [20767580; 83085648]; [45034000; 44655033]; [74904901; 11273809]; [38898917; 4048223]; [92893704; 47329867]; [22621267; 35578140]; [67451064; 64135726]; [32232838; 50392656]; [29590447; 6477306]; [1645505; 41244278]; [46101057; 48702204]; [71545810; 14724731]; [53175644; 65019931]; [34792796; 43350575]; [54771150; 1059291]; [68501460; 2662881]; [29214912; 28353010]; [52466341; 59521170]; [82363443; 31457061]; [78855635; 11474740]; [80604021; 7388621]; [32881317; 83039332]; [73170188; 59634822]; [64985781; 46958861]; [65851093; 49254423]; [95274861; 17280687]; [73123276; 23141226]; [87583158; 72268108]; [48171408; 77099925]; [56506647; 73893700]; [16780886; 32392356]; [25551446; 63877093]; [64103840; 37841962]; [81992882; 58526612]; [31629009; 84002273]; [22384771; 93554056]; [69692418; 88488377]; [71674405; 11126997]; [64761201; 94203220]; [14702530; 99873452]; [50701436; 57362742]; [72825659; 54708446]; [7442442; 91389826]; [66519237; 43576740]; [15647774; 66944003]; [42682572; 60621094]; [31327783; 16289872]; [20037304; 24939503]; [60981929; 11620410]; [82190209; 50113645]; [51074862; 94880340]; [31275740; 10799207]; [99346717; 19806297]; [97179798; 60451606]; [90554049; 32638285]; [63802401; 25551489]; [35816640; 93852078]; [74297767; 51253087]; [59721314; 37833618]; [58428462; 57170902]; [43394964; 5793791]; [92152708; 95618375]; [70789179; 93496722]; [68954271; 47396113]; [18956812; 47414163]; [76544013; 59801809]; [98596645; 21858386]; [30768443; 63551385]; [81965634; 30590726]; [94706213; 26620460]; [36833039; 25898599]; [27047017; 76668675]; [52838546; 51761825]; [96354500; 62259399]; [20840655; 62759251]; [52116080; 12604005]; [98275595; 40309994]; [82569661; 88756137]; [7467715; 92464527]; [45311656; 10915795]; [2136340; 67688242]; [39793069; 13470600]; [2877104; 21376186]; [11707928; 62217931]; [26794196; 68965508]; [4396762; 23113898]; [51545620; 69206426]; [58611921; 58308717]; [57056131; 71366029]; [32766570; 5524712]; [77108010; 52611888]; [41768231; 38102754]; [47403216; 64434314]; [14284174; 63223590]; [19133778; 4916886]; [622670; 71460143]; [43491184; 11777749]; [54715408; 64476849]; [91953019; 77493393]; [93559638; 52322773]; [28157501; 19614392]; [98497399; 31201181]; [45993901; 1414079]; [60762173; 45484198]; [68379587; 76888763]; [83659539; 48538876]; [3499199; 757429]; [10409112; 31056058]; [40036385; 76371951]; [97695182; 21886802]; [26401900; 12396718]; [39961612; 90731806]; [55782485; 58596072]; [5716183; 40694577]; [39673445; 74598638]; [23623146; 7892790]; [63117950; 48181083]; [60526587; 72501048]; [7808670; 8461092]; [13018304; 66901085]; [23180058; 59590443]; [79926342; 54678164]; [94971856; 78618400]; [38693999; 77859592]; [7207018; 60446084]; [64859244; 59090243]; [13698642; 22991272]; [36834520; 95968303]; [20382162; 10316574]; [11714595; 49388154]; [12333410; 88201629]; [649713; 13837526]; [46248650; 31971202]; [33539657; 93213268]; [22765206; 26345165]; [47950409; 57344552]; [42181337; 31512172]; [84368685; 42884984]; [44603132; 32122565]; [32381341; 42757993]; [71117992; 22301443]; [65234382; 87358478]; [91992674; 87703708]; [69361287; 58655518]; [8753811; 60465417]; [54417560; 66176001]; [78113203; 4928638]; [59937780; 84028471]; [59962601; 80633266]; [61558334; 95974919]; [59496476; 19407118]; [49771975; 27314266]; [28272001; 90098983]; [30886060; 37194985]; [50363776; 7264643]; [55738449; 87953055]; [57078986; 18444662]; [83731145; 5241201]; [36475501; 76079475]; [58320195; 50045204]; [73791934; 34829533]; [12513893; 48953395]; [39084223; 62470309]; [45675888; 47668860]; [20082349; 6896968]; [58451777; 36838618]; [45932576; 9043369]; [11851921; 32082982]; [85743031; 21221007]; [45422605; 22522422]; [72888410; 63439305]; [22254283; 18153733]; [97555420; 86339842]; [95863585; 62808680]; [6586556; 33326822]; [22364056; 41170382]; [10289279; 20430887]; [46544051; 78303899]; [29532456; 74392589]; [96613409; 56910956]; [22482263; 51713187]; [2367544; 14137489]; [89818470; 99112513]; [80813164; 47351216]; [10156474; 12718194]; [83023296; 62198495]; [33593518; 69116034]; [87137433; 41643550]; [59824744; 74534201]; [98268129; 16508181]; [64971072; 99610679]; [14134674; 71640523]; [43048512; 36284997]; [6859844; 64347358]; [13729381; 42121261]; [71200790; 28503316]; [47003598; 79615621]; [90298869; 52961547]; [12217580; 11937917]; [52162588; 47703545]; [3753119; 43947563]; [90639709; 56460182]; [80623100; 48977783]; [78573481; 93981748]; [40777146; 9302544]; [38777490; 10496363]; [29765347; 7583602]; [46033373; 27418406]; [58400567; 63625483]; [72892378; 51291972]; [45443922; 3009235]; [2916248; 30275082]; [18079790; 23993408]; [23126920; 40346163]; [31242626; 42556184]; [60255924; 55936074]; [900102; 19029274]; [17165288; 11065329]; [70424988; 18261944]; [18251413; 45095030]; [12237298; 38477960]; [86651227; 10738032]; [99926699; 81118662]; [64249369; 16718305]; [57131747; 53732943]; [72641413; 42677572]; [51285716; 76829700]; [23909698; 32261278]; [40010706; 27457102]; [17605462; 19558261]; [43759927; 59066972]; [84274884; 24405954]; [93864014; 80584241]; [33412581; 28037166]; [39224788; 3894507]; [78721741; 76915190]; [93162683; 83210782]; [59330234; 13584133]; [31177634; 81726054]; [72470950; 86887568]; [42180237; 31868947]; [50450016; 6819356]; [19577430; 99595805]; [10284590; 38691158]; [36524309; 14756637]; [34178128; 22380129]; [39153271; 7962891]; [69536168; 59837496]; [57039125; 52967717]; [7398719; 62053990]; [64228115; 76286569]; [59249039; 34661153]; [34013428; 71307091]; [35438731; 84603143]; [66829081; 99141552]; [60610257; 37654319]; [34373309; 75159890]; [36313104; 18001757]; [61877023; 64784041]; [95569263; 94559930]; [22723821; 85024056]; [94856515; 66826263]; [78313459; 74332673]; [28562902; 41412669]; [59270997; 64377165]; [25067587; 54410374]; [40904595; 79311261]; [90553179; 78700144]; [55473421; 55856264]; [99847610; 86721016]; [84482884; 57718864]; [2195958; 68606874]; [81423004; 27621287]; [22357057; 53162038]; [39431365; 26671049]; [9752270; 56309902]; [61295213; 70347242]; [25308825; 1980830]; [69166818; 67677413]; [35214494; 23039482]; [85696376; 93687094]; [17140653; 94855221]; [14342726; 73911419]; [79294056; 50634047]; [59689419; 93002817]; [95475087; 54798817]; [54137110; 7887944]; [63056699; 85613642]; [15560439; 94576118]; [66999874; 69257741]; [54694584; 48521381]; [99788438; 3736109]; [60021591; 48170575]; [23699891; 92690895]; [22309743; 17072816]; [54117090; 68039188]; [61409440; 56553510]; [8076919; 19879762]; [65923860; 91775783]; [830552; 10901833]; [53558242; 61142914]; [23981694; 65169119]; [90822226; 30323120]; [17421377; 17171814]; [6224249; 68627904]; [19409406; 37786775]; [36019478; 90742126]; [40924844; 3149427]; [11583596; 32994635]; [61555661; 46093356]; [71339314; 66961541]; [96319570; 137938]; [21956443; 18753186]; [38640761; 8096553]; [75616006; 71829678]; [94244801; 97476613]; [34483229; 57776226]; [24510801; 35039518]; [59544169; 47715684]; [31028529; 30444677]; [80606524; 3243888]; [82111360; 44576858]; [44026588; 58122959]; [79303954; 69924516]; [28801479; 48820687]; [13382603; 14999039]; [72907403; 11423092]; [26835233; 40424456]; [59493517; 68605174]; [74774983; 69067380]; [42750930; 16192910]; [59479037; 29752470]; [65458126; 60323509]; [62499174; 19058272]; [86856741; 91707362]; [87975456; 90839592]; [46948632; 87235997]; [65551852; 37242174]; [348785; 37640331]; [62197783; 26596327]; [70505438; 34317410]; [35891897; 72290997]; [26890728; 91319136]; [7792957; 81704029]; [60011050; 78420461]; [50229376; 56545964]; [67107103; 92893934]; [39700714; 41210066]; [15654790; 85817106]; [37919307; 38334444]; [29665016; 77934936]; [12482096; 74551543]; [40211229; 40798569]; [6457576; 58984191]; [43936295; 23601704]; [47727740; 14773181]; [25702865; 77946042]; [33046030; 23646485]; [14817549; 77744646]; [63073901; 72405623]; [2195466; 8493526]; [33922421; 133756]; [25430526; 51732472]; [57204951; 11465758]; [67436167; 95879181]; [27665075; 93580562]; [87014998; 48181151]; [55834945; 87591049]; [11622677; 23877224]; [31908142; 62682608]; [10241585; 75672451]; [10766835; 12952780]; [2633234; 40381784]; [22620864; 64911119]; [12663525; 61794717]; [52943826; 74415923]; [27247127; 95527067]; [25947762; 36209740]; [20439287; 15542707]; [36580231; 17870735]; [2923744; 73691227]; [32228569; 97756236]; [46147702; 48644824]; [60755674; 52072464]; [96422574; 24163454]; [13090357; 99799153]; [45651054; 85383518]; [44434212; 44622629]; [27281197; 22069512]; [86998196; 35349914]; [78883555; 31321463]; [81954376; 94558777]; [59193343; 22168086]; [60215116; 70827454]; [50176930; 34137434]; [60758998; 128335]; [37099621; 24301447]; [96849397; 6253319]; [87620561; 82744739]; [41794609; 84480433]; [36636472; 77129928]; [45436210; 33514495]; [3716702; 19659719]; [47932069; 38339816]; [62458840; 88773037]; [70289688; 13068984]; [73372338; 1528810]; [7239216; 20331244]; [49410242; 24997286]; [47438825; 97335949]; [26889150; 39998870]; [75126911; 73982891]; [7784591; 2665461]; [88334186; 79221138]; [2780591; 45085358]; [9194952; 90888059]; [2764058; 14784536]; [15369187; 82265227]; [97479492; 80307663]; [13962242; 87617813]; [96452919; 79876289]; [39479034; 79056829]; [75769048; 50726959]; [55790763; 92559978]; [95607669; 66546201]; [93418729; 11253489]; [40103038; 26096652]; [41838839; 41478106]; [62606824; 44647563]; [47030397; 90884669]; [62065633; 61074540]; [88352993; 28193974]; [95376037; 42264297]; [3828378; 85293333]; [44046509; 19217080]; [71970424; 53338798]; [49183365; 76854266]; [32950106; 86876625]; [20952493; 78624499]; [3577893; 69197251]; [96004240; 96085358]; [6423111; 69943592]; [69542268; 27084848]; [20828291; 27488112]; [1188463; 63628825]; [69868992; 80141003]; [69561649; 29665276]; [90306792; 17037612]; [31857205; 54110761]; [49299787; 48066602]; [29600040; 27609186]; [28787437; 74012601]; [20748732; 67609200]; [78968437; 73460897]; [30561716; 99816528]; [52846438; 35931806]; [63678695; 82163483]; [5938924; 55996817]; [23517722; 26433539]; [64526396; 99068536]; [54367967; 51532276]; [3245350; 62947690]; [33670622; 4145012]; [45253291; 47569191]; [22905542; 29759175]; [98130990; 81027401]; [65879254; 46581726]; [68914837; 91593214]; [96291290; 38192910]; [430842; 68221330]; [43951703; 75042511]; [92024993; 84947527]; [39575059; 11168750]; [10882747; 82797155]; [85414861; 69252686]; [48669700; 80974152]; [95225656; 42402178]; [46978307; 40835815]; [92311582; 79142633]; [44022227; 27983049]; [99697976; 35217144]; [72415998; 53828638]; [51100174; 43251655]; [40202382; 50097149]; [55678416; 10242469]; [64792589; 8414391]; [59608855; 30792649]; [71036974; 7075506]; [87808150; 47970189]; [65501225; 23510167]; [65369908; 26180891]; [43212684; 55919892]; [79106150; 80529467]; [40694133; 54083407]; [27981235; 74976049]; [99238214; 42982325]; [21247956; 24343798]; [92109447; 45750511]; [23644148; 38325504]; [96243773; 40320222]; [71512943; 52710768]; [78358668; 75727417]; [44707673; 93771530]; [98738142; 26351324]; [92247646; 44306845]; [70257792; 97383704]; [49242479; 99662934]; [22781921; 41740226]; [59845059; 89137130]; [6354777; 185216]; [6208038; 49852802]; [33856139; 21151611]; [21636576; 27012765]; [11054948; 71617117]; [27921823; 35192177]; [78226396; 49457829]; [53465954; 2790137]; [90179706; 79856703]; [48378177; 52176159]; [6935622; 70247066]; [17051966; 52058449]; [8718713; 51052298]; [22986886; 52889647]; [20408662; 10163506]; [49393189; 39954063]; [33108436; 29176600]; [46348748; 97996747]; [67349449; 65951143]; [7391466; 25761414]; [4286233; 68912107]; [85625355; 28873250]; [8922272; 26861271]; [33609560; 27631334]; [91799733; 91401422]; [4385110; 70409833]; [61066540; 55848135]; [15749763; 85750079]; [60988070; 22722696]; [55093740; 72969900]; [33022639; 48144740]; [53880626; 28752005]; [58196694; 94565355]; [91072633; 61055978]; [73826316; 78933623]; [62833347; 94685817]; [55387445; 89274397]; [10846209; 59238507]; [2551437; 35887636]; [11145883; 87875277]; [76975389; 91728550]; [18137287; 68563212]; [84966739; 36905570]; [88661190; 61682821]; [58866106; 17584968]; [49324169; 75078301]; [29598075; 65555724]; [47860398; 77784546]; [55584714; 18403514]; [35661375; 70995848]; [80605030; 92231880]; [53982181; 59889818]; [79455622; 99655232]; [65489765; 80622215]; [11373156; 68925732]; [65347819; 36113867]; [67893865; 28321394]; [72002169; 91246032]; [91298101; 63021353]; [52010489; 35006928]; [87174810; 47470760]; [42306; 81869372]; [79287646; 41557052]; [75983081; 86705596]; [2860568; 73089538]; [58674283; 85968524]; [43220856; 5346530]; [62572793; 81031377]; [89326898; 32499126]; [73589483; 58680368]; [41471114; 48578374]; [69493639; 68079985]; [58063116; 1644458]; [35043623; 2237936]; [20830054; 69244326]; [44614515; 54846701]; [82288599; 97622366]; [61415063; 1835148]; [9727974; 37415385]; [60664035; 90809746]; [95211375; 71731657]; [75169587; 6792935]; [28603836; 55452561]; [5915868; 89844428]; [17967969; 70767439]; [67304926; 35020160]; [59867830; 62672205]; [28041458; 48470925]; [96786690; 30405488]; [95179641; 28016121]; [33335204; 65918534]; [3454171; 29033076]; [5258831; 41678673]; [15533886; 3387994]; [62101445; 91992497]; [43467727; 96260645]; [56681635; 12629016]; [40605447; 16265645]; [42804820; 71461548]; [35533880; 97104381]; [15040716; 38470257]; [18155915; 9969520]; [72337602; 29292647]; [7800976; 31004231]; [81619012; 98657113]; [9693081; 56461713]; [44354888; 19574963]; [23304853; 78476136]; [15252681; 36387288]; [32529892; 90417181]; [50843064; 85455888]; [9705013; 12892792]; [3431193; 1975926]; [70172187; 20844773]; [37419298; 66830784]; [12199435; 21490751]; [64324052; 273088]; [67580633; 13157760]; [86086635; 19389591]; [46852140; 19859999]; [41605548; 69935646]; [19359993; 82532046]; [89026904; 55644120]; [36387595; 77782816]; [13403519; 10459847]; [43823027; 15880091]; [68385487; 58335786]; [25625521; 90416457]; [92299075; 42962631]; [99005445; 92640304]; [63583345; 73616458]; [63188138; 84027365]; [65553700; 13636637]; [17287985; 89639956]; [8544989; 19535488]; [94699199; 74848234]; [22922322; 77316177]; [25147926; 9807211]; [53399392; 60906376]; [76421457; 72394537]; [4438198; 60071044]; [94780315; 76607080]; [51240629; 67168517]; [97555801; 34805168]; [20131696; 9368]; [37689708; 55000414]; [1158211; 90453251]; [54232844; 72612193]; [35061243; 75566791]; [68421008; 40154545]; [30872169; 71495360]; [2561448; 75720821]; [24801328; 46804169]; [27787869; 66995596]; [5015115; 25449297]; [27034206; 57870021]; [71334974; 71470501]; [80203281; 38010949]; [22579028; 34642168]; [60351961; 83683060]; [87080281; 24816919]; [19902052; 19230922]; [91196979; 33726297]; [81461445; 64655029]; [40529910; 57431349]; [48157152; 59485096]; [36010007; 13189582]; [90711350; 41309534]; [72022809; 76655010]; [49482947; 54970689]; [41236749; 55084551]; [24063269; 57651597]; [88366354; 67355728]; [87392337; 85104393]; [17725496; 10772790]; [40189203; 86663715]; [18228911; 16575140]; [55092970; 47851118]; [11093269; 31988785]; [71539209; 5783455]; [56848089; 93251811]; [99393038; 93758157]; [64357231; 49122364]; [91430344; 46998817]; [20162419; 34353508]; [94465606; 62014888]; [39309505; 19964234]; [95193388; 52563313]; [27832262; 79324965]; [8300623; 41284357]; [14850519; 75523721]; [2477428; 97652836]; [2331296; 16382573]; [93131761; 52429328]; [18802397; 15412030]; [72449556; 43400466]; [6360465; 22164780]; [74185050; 86508717]; [69513712; 89277868]; [49363332; 30265221]; [74914740; 8735027]; [64424971; 62448512]; [34021382; 12559152]; [95553804; 42835427]; [49127003; 86713489]; [91648941; 57393961]; [41794109; 31769108]; [29443772; 54575888]; [67582466; 6775068]; [85367346; 50026757]; [75385041; 72621647]; [90247892; 77085593]; [29214291; 35131028]; [36933719; 35433804]; [25572000; 92758896]; [29774569; 73694516]; [13861201; 75766863]; [28100368; 70167416]; [45026581; 61531801]; [648281; 53044905]; [75728580; 45369542]; [35924979; 71222163]; [9874982; 51008141]; [7126249; 94399240]; [58707666; 35987364]; [77810481; 11933615]; [58401386; 15614482]; [91571091; 67856527]; [70716255; 90787940]; [57066732; 67993697]; [91899233; 89590]; [44887131; 56637957]; [67508969; 68944468]; [72867910; 84462264]; [84868255; 80583680]; [26490664; 29528659]; [82440581; 76591134]; [39052304; 6849218]; [5939734; 90981753]; [45487557; 67301737]; [50818557; 90028438]; [13325596; 5138863]; [1508243; 80680230]; [83233404; 12206603]; [64563071; 91708527]; [49267399; 71489492]; [40737338; 45391260]; [2856526; 20629770]; [5833605; 2193707]; [86537078; 33482532]; [84082132; 79595989]; [88070672; 89734061]; [91395757; 78340908]; [74310420; 51883265]; [70395993; 45112218]; [62463174; 73774318]; [99580974; 63791427]; [64346035; 70614735]; [90360754; 91931926]; [37007387; 23735650]; [39683878; 41825112]; [32651359; 34779145]; [96360818; 29581485]; [47608669; 74433906]; [34797983; 83257137]; [55696377; 76164347]; [54188491; 90394134]; [30157351; 72783959]; [59302345; 59932779]; [5474957; 47483134]; [38867497; 52975685]; [20448205; 58585012]; [48172550; 36671572]; [62772789; 86782742]; [24414456; 28020288]; [45069659; 61062270]; [88375008; 72442578]; [21230981; 48886617]; [93068895; 25354853]; [79656933; 68495567]; [23910452; 58270956]; [84619844; 7703987]; [83628724; 80885265]; [55728085; 47807886]; [39970947; 5069240]; [8871935; 91565429]; [64968139; 79053325]; [294311; 31549952]; [87666396; 54468517]; [6869811; 7662156]; [20251054; 64650237]; [35940869; 40201266]; [23068183; 10998743]; [88403129; 10103440]; [95356883; 56433570]; [18391370; 86458138]; [51918829; 68109547]; [27777119; 5010778]; [27266440; 93670834]; [50031217; 94492081]; [76219005; 93481573]; [94548253; 90358265]; [59388137; 88781813]; [89699230; 21505735]; [51139643; 6719816]; [73179906; 43837544]; [64666481; 5944639]; [92308314; 15262497]; [56727417; 87063199]; [66218421; 57162400]; [8481843; 36133731]; [39990605; 60012181]; [60870824; 33300568]; [54039302; 68262303]; [42114133; 77081834]; [39818582; 99685737]; [87616488; 24057270]; [48477551; 48543184]; [41252921; 24664567]; [90082738; 58922611]; [35941678; 342332]; [29030700; 28760584]; [23163155; 34779137]; [49901057; 20991259]; [79394941; 94186319]; [23094938; 80735399]; [24925567; 40798617]; [37109286; 98710531]; [50754945; 62781528]; [19716493; 80795110]; [64441143; 8440500]; [16437013; 18247756]; [8851874; 33345965]; [91633031; 7743263]; [48316483; 86921697]; [51070857; 47981040]; [11890554; 80763596]; [88861178; 93145012]; [52094197; 48883342]; [27417358; 20340622]; [40218576; 5231529]; [93760184; 74277058]; [99916224; 56865427]; [49441653; 2720087]; [20237191; 19630607]; [56708332; 1101432]; [27719306; 20846459]; [39472833; 5632765]; [50033127; 53621340]; [22537648; 60361200]; [99413619; 95744933]; [45431068; 19304273]; [85918661; 51008820]; [11680751; 70644696]; [812627; 82838644]; [71745920; 2674650]; [95309930; 91574890]; [68590119; 51816571]; [6474833; 8720681]; [30714065; 10731348]; [13696793; 44521909]; [10339613; 29002847]; [42184341; 71143909]; [9160149; 19580968]; [71395912; 55900815]; [35589849; 99023712]; [76359001; 20821803]; [61041979; 39095342]; [33173780; 55153607]; [8392097; 64996143]; [16608612; 22520976]; [14133255; 58262869]; [23349576; 22158773]; [64488275; 70244142]; [23046783; 22336872]; [61399165; 10828101]; [57430993; 79973479]; [41942508; 61403255]; [18104327; 12537739]; [19997497; 23122560]; [58520117; 83383928]; [69828554; 70339832]; [97988271; 45341376]; [13717766; 93386869]; [11455096; 47949233]; [61176281; 47960803]; [10688912; 76272199]; [7388872; 95366831]; [20461880; 25298205]; [27312394; 44900358]; [63922712; 20908861]; [22610947; 56662370]; [9688659; 64092569]; [15876452; 92369440]; [90298095; 69650481]; [72566579; 87818245]; [3729665; 87739677]; [47520811; 83430557]; [84263121; 87871164]; [5544516; 81179853]; [94033066; 90634809]; [79578105; 51131714]; [18299974; 86828867]; [80867559; 48727719]; [75220025; 66711370]; [75075376; 11078863]; [26740210; 77964448]; [45427002; 65665207]; [14974322; 14965421]; [62304518; 56865120]; [78066619; 10156188]; [60304987; 14660862]; [6927584; 21643382]; [54621466; 93609089]; [47327589; 36003812]; [75518940; 32284719]; [15775727; 10597236]; [89216812; 15898537]; [85170627; 62592255]; [12446681; 10079743]; [58679586; 82044389]; [89944792; 74856890]; [78863389; 93511682]; [33608301; 4894074]; [478668; 67398421]; [92488453; 30674986]; [54163382; 78683928]; [75416037; 46300026]; [30328413; 91594342]; [7652953; 58376087]; [53244457; 7149326]; [18073647; 82037334]; [77022492; 53905638]; [91920560; 99842493]; [48412998; 29470247]; [5921344; 56576615]; [6686503; 9604517]; [63154764; 47501240]; [54761578; 69472770]; [61021116; 14316157]; [27058303; 98876689]; [26479972; 65678400]; [20092032; 33221134]; [19360562; 92915356]; [69876916; 41020575]; [44987032; 773480]; [19198461; 63397242]; [11260782; 72524781]; [54080296; 53582391]; [88572313; 72227832]; [74490298; 78434362]; [483957; 76661826]; [50069088; 38200756]; [15787949; 87889279]; [18476824; 11446435]; [90318365; 81432622]; [40141773; 3617971]; [87509288; 83537561]; [1186075; 32025593]; [69170047; 28446040]; [26207927; 86644542]; [73474614; 33005564]; [77641568; 73122564]; [46989246; 7447873]; [94594250; 24188475]; [46437326; 10960570]; [22535355; 12665418]; [80146633; 52081741]; [28887216; 4374348]; [15729716; 66814297]; [40189720; 51485289]; [79603905; 31881483]; [51397956; 80601032]; [55426831; 55304523]; [98168702; 1274241]; [64099788; 87141915]; [88944263; 11492379]; [72403223; 39558487]; [90058338; 89408332]; [67563522; 21764747]; [2559807; 88536704]; [90736166; 50522996]; [36672564; 64755970]; [74404698; 50944860]; [1457816; 6236649]; [68818072; 34342835]; [34260355; 82913358]; [43461624; 52354544]; [33842164; 15575560]; [94252707; 16237677]; [45179557; 75779923]; [77929827; 43690323]; [36745335; 86772493]; [82903750; 54490441]; [18853855; 5843125]; [56710314; 23227418]; [74353076; 58066191]; [81070907; 64899877]; [34194603; 5093489]; [62917809; 57672103]; [21771948; 84718255]; [49773710; 58119865]; [16927918; 76040424]; [92524337; 12480470]; [69048138; 78294608]; [65061804; 47063385]; [61767846; 47652301]; [19028132; 66816734]; [95374719; 28820349]; [5316741; 80993400]; [54336313; 24763609]; [54599148; 12930664]; [8568104; 24995132]; [57263424; 54821575]; [44601671; 97999400]; [47458008; 20593234]; [40197138; 39704164]; [69879259; 23358697]; [74053645; 44836374]; [97287086; 71857564]; [44261921; 42143066]; [2373036; 18128462]; [51671289; 65344695]; [45610675; 23854639]; [23368100; 8566440]; [25827661; 6793142]; [39193183; 85663563]; [5595354; 39983282]; [83626404; 1186719]; [42332039; 87381395]; [98282003; 64764619]; [42761784; 77155686]; [79315245; 21880212]; [77126800; 66823519]; [90873537; 21854428]; [81442289; 43935129]; [19887465; 6193204]; [82833594; 95733453]; [78617641; 43148205]; [58454457; 66705110]; [36041443; 4592191]; [15183779; 33435950]; [12015227; 55516988]; [60783442; 29548336]; [22186616; 38421723]; [78368922; 37691131]; [1001879; 91145128]; [26634280; 9227673]; [2263771; 18935840]; [16538133; 89787059]; [47243438; 24400069]; [43479823; 67995344]; [83885262; 91876982]; [13775274; 35561459]; [69645651; 18801678]; [13793472; 96067743]; [65097203; 47683396]; [5151826; 72679315]; [7488779; 48159041]; [25890948; 41623249]; [82668661; 97135910]; [72417701; 97034874]; [74793859; 14761355]; [7409436; 66041232]; [42355718; 59265429]; [56751301; 91560375]; [73510327; 9966761]; [9726607; 5439107]; [35058629; 68744019]; [1819415; 86029810]; [78714590; 56826148]; [77268642; 80235049]; [20121177; 94515962]; [72010585; 15002950]; [77801155; 5045966]; [92305155; 41121745]; [77048841; 547516]; [36405748; 94373749]; [77051114; 85652897]; [78327053; 30136076]; [70050490; 27043897]; [480255; 12442114]; [67773507; 60998684]; [60779127; 98744293]; [24170332; 9910457]; [3442769; 81525113]; [65427878; 83790547]; [75551222; 98692162]; [72450000; 86615047]; [18806482; 25669247]; [91743664; 56760975]; [11214309; 76670948]; [69196955; 44311317]; [84925183; 88189417]; [25548566; 58581163]; [16285241; 53612971]; [5644907; 14752573]; [32058731; 18093847]; [72360615; 53589884]; [97931965; 53620358]; [39797497; 23662600]; [90572509; 51812446]; [66631215; 82882590]; [99812236; 69330993]; [24179494; 2698777]; [44052452; 4709487]; [73391620; 34726089]; [56163177; 86924050]; [3510987; 82305240]; [41375816; 27754632]; [29451941; 99963204]; [90032489; 43450460]; [53497669; 7193635]; [90712562; 43312557]; [96442945; 94954525]; [23718243; 31367682]; [43510956; 67104472]; [29475069; 88779702]; [29452805; 44115483]; [60271830; 74184356]; [8144480; 55128900]; [19335246; 13810596]; [47218276; 6908552]; [85897702; 59680275]; [38636504; 48965294]; [68863062; 67976446]; [63112597; 42532324]; [73887014; 57875951]; [7067469; 90074406]; [88526393; 87387767]; [96203484; 93633276]; [9780184; 12502837]; [89209931; 1214967]; [34276702; 71600699]; [54184439; 81272184]; [68934126; 90450294]; [61595908; 93704124]; [56449784; 92928971]; [89198941; 18742525]; [92194959; 83471423]; [83364214; 31231876]; [2759502; 58797258]; [32878458; 65039661]; [62345014; 63930919]; [8211173; 12078371]; [59465256; 83237592]; [93471423; 65840794]; [1817168; 93897304]; [45496530; 59113087]; [82303483; 82293734]; [65647778; 64861135]; [66204033; 78577151]; [3119379; 59187422]; [63049830; 4611171]; [38772691; 75184694]; [19584785; 13979922]; [72673423; 49854940]; [71754529; 2373050]; [15335988; 10939040]; [72646812; 31952084]; [34707852; 91730840]; [33707544; 97181366]; [26045586; 30551039]; [22035004; 8072643]; [98970877; 78634476]; [57077224; 94961370]; [11619983; 5893712]; [17171232; 7654159]; [55625751; 20878435]; [56117686; 59114378]; [3285037; 90420710]; [44556647; 96876852]; [40583825; 54547467]; [71355071; 82074888]; [44703576; 70892157]; [10725571; 13012861]; [38485562; 37610796]; [80403266; 77846233]; [11530158; 15187258]; [27879821; 7052204]; [8453385; 93575825]; [47195182; 18960747]; [68352036; 84474312]; [20177611; 93618543]; [91342719; 20898819]; [27185967; 26292407]; [15979203; 50713739]; [6790056; 70206858]; [3470547; 97080924]; [76324243; 38529224]; [62091457; 90913716]; [84714945; 25217096]; [83398732; 48727411]; [87991545; 28609439]; [49577037; 36524667]; [49834751; 59002252]; [38560156; 84957829]; [93249500; 39167464]; [44222448; 62255908]; [43723739; 3869598]; [3356205; 73544031]; [3733600; 33303308]; [12822272; 31488825]; [68674808; 38116385]; [37051520; 6270450]; [89063687; 67468418]; [4699718; 50544904]; [88494025; 50739912]; [21714174; 66420533]; [31823453; 57316962]; [19103599; 37377477]; [8218856; 71500176]; [5008898; 58193728]; [57383309; 84962009]; [39424366; 12065752]; [13509392; 56272469]; [96441103; 67254158]; [77111711; 96594362]; [26066510; 30609684]; [72653396; 91497549]; [82875772; 83741983]; [36662062; 11961754]; [77806874; 15423919]; [23062490; 70676738]; [17784592; 18318346]; [80607664; 55952380]; [98735910; 66170188]; [33032931; 53311856]; [81094176; 860586]; [54523897; 45834590]; [4657281; 51724612]; [32478602; 62918567]; [34401756; 84367786]; [4237174; 99608914]; [73943001; 9054106]; [98709611; 99107396]; [60828186; 31884366]; [47466136; 24824738]; [1872606; 73558640]; [74899315; 62996377]; [1769384; 12881381]; [60907839; 37930410]; [49250489; 47845405]; [80562304; 96103822]; [314112; 6874857]; [76208623; 72568361]; [17144717; 24152453]; [35723240; 30818936]; [72058774; 32644659]; [69306823; 54565762]; [8910306; 19335130]; [47294589; 26297704]; [61537095; 68635091]; [82624920; 44408081]; [63947331; 19916574]; [38141753; 46891751]; [9474259; 61518323]; [29736022; 5248049]; [58005844; 63636945]; [29077188; 62935811]; [96411866; 96641745]; [5629169; 22794550]; [20327691; 83460581]; [33552924; 92708141]; [27880937; 14502403]; [66087649; 82733813]; [49356803; 12231265]; [82144030; 71311136]; [9003823; 69544667]; [2891921; 67889017]; [19086652; 32769670]; [87944205; 79190431]; [81051528; 13603515]; [90270745; 42572072]; [41060181; 61299833]; [99480410; 65546844]; [41769802; 292047]; [91362839; 258426]; [7545987; 46307665]; [50485534; 7064314]; [65298404; 23383541]; [16858012; 90996889]; [37350221; 78856356]; [97623628; 65822720]; [33853126; 87191223]; [58433516; 34407983]; [20955201; 7172555]; [95446665; 82697324]; [94841245; 49128246]; [33982263; 77230182]; [3591643; 58251100]; [83779998; 49702851]; [19408652; 5804414]; [55389659; 2503914]; [12209945; 58839139]; [92299883; 22946450]; [67157732; 37865131]; [64649811; 29602669]; [84990874; 11766172]; [58978461; 56100197]; [61175120; 61344452]; [96574476; 83218131]; [56557840; 90439665]; [62726815; 53070357]; [85013336; 56995798]; [47421410; 82580343]; [46253774; 72489787]; [85746664; 41227171]; [69794790; 29000825]; [90638692; 44393554]; [26550726; 46247196]; [71936879; 9358716]; [17318503; 23840336]; [24243466; 35402972]; [10881064; 68204280]; [9869545; 62842730]; [25309737; 13644706]; [6685060; 14004646]; [76669410; 53901836]; [10929714; 47658051]; [33892852; 63719597]; [75117697; 19015336]; [4851851; 66140608]; [70084664; 67963864]; [56424437; 55196490]; [94064017; 73832725]; [36747596; 74651046]; [78477220; 46599283]; [65092483; 53001333]; [7692588; 93729334]; [51573736; 7089873]; [58514346; 14093344]; [74267405; 76527251]; [89730460; 41487350]; [14248656; 18984215]; [78001452; 6260200]; [22781628; 60824174]; [41159187; 36355458]; [80981872; 16338310]; [71953130; 82493985]; [33798628; 65524794]; [87082313; 43321106]; [884338; 5084839]; [99393041; 41905580]; [75974925; 97347804]; [14790267; 24270849]; [87885544; 64311417]; [25857737; 12531818]; [30856113; 18576686]; [90982957; 81072300]; [88296064; 39264562]; [30356874; 69648085]; [65322235; 74299551]; [71863377; 33492675]; [61193538; 9253394]; [68929684; 54706960]; [53190788; 7108589]; [57359182; 89470092]; [50218788; 23215044]; [26218647; 93710258]; [67187667; 6568766]; [3469298; 60829678]; [34384203; 21424483]; [62061529; 35059982]; [46410212; 81624724]; [42152557; 61258790]; [78317212; 52440976]; [67511382; 99364365]; [25100954; 5278320]; [20361774; 33079321]; [77988714; 31502112]; [47151464; 31624341]; [23356110; 55132903]; [83825392; 1327493]; [67107495; 27390766]; [38670728; 22427817]; [3688503; 66637065]; [5571745; 16750867]; [74981255; 56122681]; [6692649; 88433723]; [8392921; 26698762]; [76166756; 82572479]; [19230268; 60568033]; [29078572; 93614538]; [43377036; 1679303]; [26186515; 58159751]; [46294568; 11212406]; [78570368; 84603223]; [5508085; 46735607]; [11614557; 31879508]; [49451795; 92648607]; [76518560; 37148556]; [25759703; 18909913]; [76317719; 29864115]; [48079092; 52016747]; [73190280; 8948457]; [48987131; 71372804]; [13561081; 78860521]; [38510076; 88518380]; [92195444; 9610741]; [86328168; 73616877]; [67688664; 83934361]; [11646811; 98736272]; [69688372; 40897792]; [7164691; 22871869]; [31291577; 56367932]; [57796417; 59782563]; [3913229; 15341332]; [20562115; 43104052]; [25523395; 83221718]; [83386260; 53849231]; [41330769; 26658822]; [70807490; 58815966]; [12741077; 81271429]; [3271346; 76866372]; [7977679; 90038424]; [94505711; 66376795]; [36795594; 4093132]; [54367203; 44658591]; [15634736; 48937663]; [93450518; 56966575]; [41212844; 50781753]; [45867636; 74085411]; [12763796; 7032026]; [9226010; 8234987]; [17600452; 15139714]; [13091813; 34172381]; [70801979; 80730927]; [61762169; 58014930]; [52590348; 99319064]; [80286148; 51560407]; [72231281; 94867757]; [27248233; 3617825]; [60017083; 32640680]; [29058639; 63644583]; [69674514; 79185716]; [77724580; 76358114]; [9720838; 38731454]; [28470308; 35535443]; [88079703; 95201251]; [23633235; 76348706]; [19649365; 36939384]; [52413636; 82102490]; [56006313; 41018646]; [65337836; 11491542]; [71501038; 71723821]; [30050086; 89833350]; [65044456; 19687493]; [45552725; 23290007]; [23806217; 8912996]; [29459762; 65173888]; [48107551; 26398281]; [66956991; 58163615]; [29577368; 99671405]; [58818718; 215823]; [61859987; 45060805]; [84602002; 30105153]; [66103532; 20717508]; [33681375; 74691438]; [45211387; 52326810]; [68864534; 55723690]; [73849074; 21794367]; [51818897; 21840808]; [44551870; 88247211]; [28344509; 55023765]; [89420237; 37823465]; [77249504; 81138326]; [32850832; 44054576]; [41978968; 40126275]; [37272672; 41551753]; [37902096; 77879829]; [88196990; 92004437]; [53343501; 18540426]; [56950161; 99241138]; [1375026; 71567794]; [28630962; 33700105]; [19514638; 44073106]; [59009371; 28948072]; [3460294; 44482434]; [26410895; 76313212]; [16236227; 74498030]; [57827959; 83918970]; [60460840; 53512840]; [84301613; 96726819]; [15198475; 88776375]; [88989757; 64067521]; [83558927; 34017462]; [14146905; 6822957]; [50651058; 11499259]; [91326473; 44116696]; [895988; 31076396]; [29092171; 30900005]; [67110014; 72418211]; [92068585; 27383837]; [95715961; 78272609]; [59043018; 54738606]; [77831701; 23126229]; [9543957; 44592755]; [95318027; 63696035]; [26848166; 12950555]; [25643120; 62006910]; [71160352; 39735628]; [44529337; 54402161]; [27328798; 74966300]; [60715252; 29697836]; [71435191; 84791605]; [53400925; 83847943]; [90121404; 61940687]; [76878388; 84369986]; [61261682; 62748500]; [81646054; 14444771]; [61876514; 84770552]; [51179075; 35157475]; [49783203; 29219554]; [82855039; 62288220]; [83206478; 54958735]; [45994371; 26302919]; [56333803; 72409590]; [12474892; 42414829]; [95124620; 77548531]; [18393726; 94770485]; [30623301; 95134693]; [35062208; 64871533]; [93028511; 47970987]; [94371646; 66720552]; [51013218; 90471814]; [4471464; 93970464]; [60322772; 1035349]; [73650805; 59738088]; [45651739; 31657786]; [3994266; 37618489]; [97783004; 53545557]; [33236203; 34772652]; [60975477; 78633651]; [21134336; 95384098]; [14902457; 62626797]; [19059059; 32335757]; [32116260; 59592529]; [59399942; 69392120]; [41771076; 97830400]; [36385283; 32377535]; [55364103; 43399622]; [64075812; 76002083]; [51030212; 17582661]; [58487581; 64278587]; [37549509; 25492998]; [36999190; 91098601]; [8292699; 74584020]; [94777615; 27587156]; [88481923; 23555108]; [57866539; 82543475]; [60520655; 26135610]; [52144059; 98839625]; [18491534; 85078203]; [45700572; 13524478]; [92218471; 60525785]; [44374271; 92935091]; [23791513; 97605417]; [91695955; 13981520]; [4915640; 26384613]; [1511344; 34648188]; [56224327; 25828257]; [43252241; 91614710]; [53351391; 20968763]; [23460527; 90668137]; [89437352; 54192736]; [30095235; 50428200]; [70222111; 62402481]; [58140564; 27733839]; [4190062; 42949719]; [86699721; 88281592]; [79824230; 1103173]; [35185503; 12592015]; [36466310; 88517067]; [42106212; 58412952]; [12374887; 23244798]; [49686077; 3421306]; [11915553; 82552151]; [54482446; 43986039]; [39581360; 5533402]; [11485443; 72228200]; [83310697; 47694849]; [11045127; 62488180]; [59004147; 99355629]; [61933657; 96504267]; [65125786; 75657343]; [35796184; 53966618]; [74849707; 96674258]; [87806698; 25151770]; [92023487; 9028543]; [34028036; 41399738]; [4979269; 22816142]; [93830494; 88941760]; [53061987; 57334331]; [13130353; 91820714]; [40840426; 85936594]; [9322823; 95457323]; [84932502; 10435894]; [21450011; 24686115]; [67445272; 4408851]; [91932698; 8963381]; [56559100; 37243102]; [5409747; 9806739]; [39831505; 72723755]; [13007387; 30522440]; [85462739; 38350602]; [15184931; 39275638]; [4922087; 66958677]; [75840845; 29142121]; [68699374; 25337013]; [88672474; 23307511]; [82186965; 14532811]; [66129041; 21688568]; [91498546; 1626606]; [96948589; 59022726]; [22165289; 10970131]; [5920337; 65860857]; [57616589; 85749036]; [79627135; 77982221]; [32284412; 62307741]; [69433409; 41445298]; [75906232; 8135297]; [53545456; 90059200]; [3613201; 7190044]; [82927336; 22305477]; [14718893; 55949496]; [14619474; 67936455]; [10922502; 96588727]; [58228361; 9523138]; [67555208; 89144832]; [15964897; 96717538]; [15770392; 85479266]; [65213650; 87857648]; [38461080; 9884430]; [87119508; 79320227]; [17658526; 61921993]; [78403517; 76395707]; [81934874; 46140928]; [85420653; 3782779]; [48785220; 66397441]; [53158312; 74348991]; [8382284; 18159073]; [30612429; 85266610]; [92653463; 34584211]; [41445955; 20107251]; [22232810; 5952936]; [18006973; 83446268]; [33712663; 84846119]; [77908872; 50554051]; [51450747; 12559214]; [67452287; 55328821]; [35555618; 1826702]; [55735445; 8846638]; [84380861; 87049368]; [6494977; 93533002]; [85618119; 22234976]; [20168630; 55833317]; [77224588; 34133523]; [65923069; 5730884]; [42397942; 31415312]; [28582122; 62502936]; [72750901; 55773540]; [63918874; 68373671]; [8351067; 25886981]; [53444511; 35550446]; [72238464; 98872329]; [28980700; 35238054]; [40155481; 90790671]; [6941895; 84250968]; [43860309; 93074325]; [83429297; 3502365]; [40137952; 34457894]; [94823427; 14071004]; [55442625; 57949929]; [17851656; 77475149]; [47980995; 62709720]; [35808238; 98503797]; [93897699; 69808226]; [68530939; 89113767]; [56861451; 93860222]; [10942812; 88768640]; [51993687; 81420550]; [16015978; 10198725]; [61104297; 90226551]; [55691199; 61958856]; [96562024; 9813440]; [13556493; 84280299]; [48579253; 30416448]; [96122142; 90391331]; [34674468; 26154856]; [95089432; 33834120]; [52390681; 93149020]; [35664435; 66547817]; [2334214; 30169892]; [6868736; 66207707]; [27487995; 46097870]; [75111601; 47937441]; [28050596; 18772432]; [75533262; 83832243]; [10493393; 80602935]; [70955946; 30483842]; [86359227; 58803917]; [48042545; 44233531]; [73586678; 29697553]; [21700823; 46663518]; [66806414; 17209546]; [62119519; 17818826]; [43392231; 51744445]; [40421251; 50749089]; [56652267; 39387630]; [35798709; 31443495]; [97839663; 13684586]; [96863300; 69515903]; [58813523; 89694167]; [52839579; 44371414]; [10063699; 32718913]; [30905287; 43774675]; [55859199; 40098243]; [51639615; 69604470]; [36190674; 1617655]; [50843708; 10504294]; [56258482; 50613032]; [37694271; 91891045]; [91645612; 49314503]; [27738938; 83149697]; [41356730; 92872689]; [96333597; 83518824]; [27811255; 18633982]; [85676989; 50335256]; [74200245; 77630104]; [30285013; 22022151]; [91915943; 8017298]; [82426449; 56233874]; [6492306; 16939505]; [17366232; 88323978]; [76929602; 12062371]; [12386681; 75814571]; [49060629; 48157940]; [38273253; 30080335]; [16399695; 18374926]; [23721776; 558285]; [10532579; 17956299]; [66973246; 68520591]; [37792284; 24027503]; [4183209; 88151758]; [53294249; 63191811]; [91369819; 88870799]; [25950542; 30121700]; [33645266; 16795740]; [97995140; 29799967]; [54123612; 82834990]; [2861310; 30016230]; [40222243; 85059449]; [55344819; 81198414]; [85180956; 3788632]; [62287993; 63979712]; [47643626; 41863648]; [89298875; 41496353]; [27512107; 90724821]; [37123260; 71776550]; [89206437; 68257412]; [75962143; 69906093]; [74275835; 25780215]; [67101982; 4988179]; [74240823; 71396348]; [78887651; 79097853]; [52438356; 27852993]; [97709161; 8919047]; [90595170; 25908196]; [26707076; 46463907]; [22324033; 83092634]; [17718898; 54037215]; [87922302; 96110501]; [99787889; 11839063]; [89548346; 51958385]; [80010512; 19368844]; [59669758; 15692377]; [64980980; 58632093]; [80040007; 78715416]; [6747969; 71500990]; [87498665; 40307499]; [21638817; 98038805]; [7759872; 8539568]; [62908301; 45800375]; [42707601; 21560645]; [45168021; 72961543]; [15553003; 84267860]; [99765164; 97834318]; [47807670; 43655080]; [77976893; 53824055]; [17180190; 15256168]; [11567922; 445542]; [75750317; 88219580]; [36456162; 25116130]; [12697949; 33035020]; [17459322; 41020931]; [51596290; 40038878]; [92190349; 41580524]; [84121899; 34563804]; [77761241; 23602465]; [27440230; 71891926]; [33910725; 48165389]; [90166419; 53506974]; [62556799; 5821547]; [48950614; 4891978]; [8654869; 47317122]; [34423718; 56025416]; [81258727; 7370628]; [26097987; 87594428]; [85609712; 27632532]; [43202358; 11521969]; [39684118; 89568224]; [40756200; 5793172]; [13792883; 99330694]; [15590345; 2328842]; [91817035; 23355066]; [25567580; 68973469]; [52139118; 43166453]; [86964487; 31099022]; [26953822; 25702263]; [45922024; 75701770]; [50432396; 38558947]; [15135945; 95949072]; [28135959; 87227074]; [84903262; 83492583]; [88186080; 17896016]; [56504113; 86570898]; [96603735; 39148468]; [50322522; 86382424]; [59818851; 82803888]; [25076854; 39551170]; [86606877; 66639296]; [79060026; 74956216]; [27699521; 64249990]; [86529660; 61962965]; [32616366; 91815969]; [71844993; 80512980]; [96715279; 19006946]; [42123452; 75237729]; [44748075; 9756849]; [59730163; 47308886]; [95747516; 25827761]; [18070243; 1527378]; [45623478; 59094604]; [62075996; 68123232]; [68381837; 22372784]; [87615706; 29257226]; [20976290; 43906445]; [54028734; 18561398]; [5022625; 51084663]; [28528916; 2484900]; [36249452; 25353351]; [38709444; 79017287]; [36160443; 63394341]; [96362330; 43552383]; [95414806; 55990096]; [77747830; 2783205]; [81632813; 17178088]; [28045210; 72211292]; [80549275; 1812029]; [90396136; 36965379]; [5835647; 45085112]; [86382868; 51728026]; [51733137; 89524778]; [89102618; 54373819]; [42895984; 73933423]; [81210257; 47182294]; [61860842; 32802714]; [38088898; 19249727]; [14125365; 73484093]; [29762209; 41594438]; [83794698; 22937346]; [57731528; 43004526]; [89748934; 82564085]; [95531357; 49791901]; [46306738; 34951396]; [66378274; 48102341]; [30091600; 49256969]; [5687392; 22143836]; [22315805; 6086732]; [48676733; 68532054]; [94410276; 68429016]; [83475236; 49649325]; [2034912; 64099065]; [38700171; 718031]; [15301459; 17949507]; [56474339; 93588587]; [17928237; 91161054]; [20989496; 61122328]; [68051528; 82822802]; [78329312; 38258183]; [76834404; 21065363]; [45254407; 1862181]; [65277795; 36428374]; [14404249; 66214707]; [15229382; 22623101]; [31705811; 83618127]; [80533292; 45505022]; [62129303; 45740378]; [98687563; 58093470]; [18700984; 16030563]; [28137616; 73246479]; [47354551; 35064518]; [58003735; 63137247]; [76903974; 36975395]; [95697728; 8767519]; [46352943; 70353776]; [20887454; 82905816]; [20672061; 88958731]; [98788431; 95208387]; [41372996; 71217253]; [59466917; 31831502]; [8435789; 6008318]; [34744909; 27114346]; [97011362; 85030674]; [24463866; 76686750]; [87101274; 51910204]; [82744879; 63570884]; [71270533; 13972952]; [51353396; 70036505]; [79664368; 75417662]; [86400445; 54732061]; [22358254; 53318305]; [91350613; 99942176]; [14296817; 81052481]; [72468936; 35414968]; [26844963; 13207970]; [28916607; 37671689]; [49522240; 57791131]; [30075544; 53134171]; [82324850; 83998605]; [80748670; 9739165]; [13365160; 27032133]; [90262738; 38360505]; [97493817; 28761291]; [61900292; 30310433]; [69188663; 91829859]; [58553361; 43428382]; [41538417; 89735698]; [83654532; 79256582]; [78769662; 14261808]; [1568857; 38633077]; [89512447; 89464442]; [20634998; 18519823]; [89208210; 99058914]; [37998854; 78103706]; [26343432; 30388401]; [64372989; 77825914]; [8950829; 86909811]; [5846690; 12950571]; [90833679; 19914465]; [9038830; 48915072]; [35842231; 3462738]; [723096; 34633841]; [79816119; 58055751]; [87017685; 6834742]; [85651644; 23259907]; [82115212; 28929023]; [7506757; 30939224]; [93288172; 37309301]; [89292791; 56533452]; [17023175; 5478640]; [31637024; 4137487]; [23302282; 34562294]; [90575189; 72247047]; [48639029; 64764056]; [61341392; 27955340]; [99740848; 52517910]; [27962755; 17359345]; [54555182; 81598010]; [2554328; 50922256]; [57094017; 18591999]; [39199926; 57081185]; [52247441; 53602798]; [15430877; 91107870]; [89129326; 61559166]; [43581438; 17647175]; [20344074; 34904754]; [75843536; 14439283]; [96380565; 24693306]; [8796741; 42781875]; [2964593; 33847076]; [7615912; 18629117]; [67487934; 77919748]; [85858659; 45967647]; [87515591; 95323638]; [6796649; 17328337]; [32656039; 59372818]; [93396458; 58173404]; [38733394; 82828229]; [28789858; 40265238]; [94190052; 26607007]; [78073159; 31477632]; [15324032; 84394624]; [81679146; 18066145]; [33155261; 67109035]; [64628399; 69589204]; [25854492; 52698226]; [87593028; 97048370]; [43085548; 86032065]; [40945552; 96883751]; [32213463; 51405882]; [57763729; 13178206]; [5960556; 97782255]; [26806873; 21683336]; [42599311; 68449866]; [73215555; 39727802]; [80295976; 93018230]; [32469570; 87980404]; [9518971; 75697997]; [21140147; 84512078]; [33284071; 45979483]; [23511625; 66545148]; [422011; 85706722]; [39717640; 16544020]; [88263923; 42786169]; [76026321; 54591129]; [35429305; 44250311]; [91807114; 19139461]; [66622790; 93021241]; [40347200; 43181769]; [88222411; 79305687]; [99690578; 46277075]; [68255347; 25717108]; [98478228; 4447653]; [20817449; 90730860]; [1070952; 49688858]; [79022789; 66396198]; [90004868; 60859618]; [71188253; 89914580]; [67915074; 44105427]; [40698449; 8744300]; [3242345; 74719826]; [29518246; 35448386]; [55984464; 13508237]; [83131106; 98538780]; [57133863; 46346876]; [53577466; 29005436]; [37680917; 61958911]; [41219041; 32807912]; [83032867; 75245159]; [23144162; 75928662]; [62122552; 18757162]; [13389264; 83062672]; [9043049; 26862943]; [86033850; 47984061]; [94610270; 8093645]; [32520863; 40263600]; [20560668; 36414573]; [70780464; 6442442]; [66777110; 5717557]; [19711279; 83450039]; [72869119; 25859701]; [86046764; 11911752]; [19333138; 58376221]; [23093031; 93148286]; [45272044; 16625971]; [7873372; 35916581]; [19081317; 23961710]; [24466557; 63414937]; [82227957; 94952737]; [72452038; 65463954]; [65909100; 65943211]; [24433607; 61656032]; [40936984; 24188160]; [89914780; 74406670]; [18227983; 16926211]; [55050820; 62675705]; [27519370; 92018417]; [68818656; 46760844]; [48457095; 997970]; [1373131; 20372315]; [31750864; 9841536]; [30337514; 2517812]; [97671237; 24828167]; [93022970; 69959402]; [98316187; 67201556]; [59874521; 76690036]; [36838789; 30483820]; [4554634; 20281592]; [39407548; 38020108]; [62936109; 24715641]; [23847738; 40208282]; [86632035; 27663953]; [80405949; 20820132]; [56994635; 42997543]; [82720869; 38053167]; [10427399; 7830755]; [21967621; 65774748]; [97799033; 15851613]; [4399599; 79102121]; [76731740; 4111770]; [17188505; 51241284]; [64303112; 88624496]; [29762140; 81630084]; [63922553; 60427246]; [67925503; 18194421]; [17595519; 21208874]; [12476120; 14441584]; [2017120; 93282484]; [9279509; 11603897]; [47289313; 81133621]; [56059922; 82054954]; [3218050; 27785737]; [49564365; 21453096]; [17762957; 36699103]; [34521283; 88512829]; [54713492; 4271586]; [45520751; 27694083]; [20437695; 60959897]; [55499551; 14818597]; [38331197; 17399994]; [23543445; 23774525]; [67227950; 39098139]; [29902350; 51672530]; [35912062; 48463336]; [94756914; 48743504]; [61090979; 99193828]; [19932795; 90788146]; [14082923; 19979205]; [2099038; 30671165]; [88272725; 2342083]; [29969817; 80976525]; [99157218; 65404954]; [83022262; 50106357]; [55461775; 52493641]; [78892832; 86688771]; [98925339; 31809502]; [61207218; 73998069]; [17032156; 54912620]; [66109070; 8280988]; [40637540; 41244393]; [87433651; 92410198]; [92318524; 7082023]; [154908; 64531984]; [95555012; 41297585]; [54336231; 76231378]; [98829469; 64728034]; [30229445; 88803317]; [68792948; 8136566]; [78471526; 81846795]; [40025717; 61848324]; [18343460; 45546803]; [56179986; 6552679]; [91475946; 90981764]; [3300834; 481651]; [76646028; 24872338]; [26619; 80714642]; [35018190; 5022239]; [31596855; 79263236]; [93541346; 19647942]; [32050944; 84264565]; [73937460; 84355692]; [8716691; 82729418]; [1155314; 43703440]; [98773652; 79214243]; [52237093; 56193401]; [47128107; 96517669]; [40045684; 27382727]; [74947344; 93468366]; [21871890; 78973379]; [57199803; 73531621]; [3905230; 47681915]; [49995180; 73546647]; [89363751; 73448195]; [30969340; 15147175]; [55758970; 65312825]; [4865005; 18043989]; [47937092; 71217753]; [46348328; 25525082]; [43166306; 80573853]; [96848806; 94408641]; [40024678; 3913771]; [25098649; 86910259]; [54462009; 43304799]; [16457907; 66091216]; [32135310; 49883634]; [95662155; 33991254]; [13769500; 77511187]; [95434918; 5640524]; [31830251; 56381949]; [6705451; 86501268]; [87136242; 97000227]; [30278098; 32997334]; [95927352; 32781268]; [65264402; 96382710]; [86126020; 86010816]; [72394947; 83339641]; [32974276; 86298069]; [73857694; 59969635]; [51003506; 5420383]; [48965675; 70966322]; [35026106; 50333233]; [77385677; 94305453]; [74060584; 12690389]; [73045272; 98253799]; [26640820; 6251863]; [80242506; 85720925]; [70597583; 96776387]; [55506998; 92352070]; [52638331; 85896669]; [82378266; 47815659]; [21540909; 33436716]; [35319140; 44937405]; [94848466; 30004509]; [87815184; 24628784]; [13115045; 96843605]; [9589900; 85167270]; [28481114; 70559787]; [68948; 16788289]; [97692394; 60738677]; [44562889; 55063555]; [59699139; 44409407]; [12060932; 87209]; [41123012; 49684363]; [58924256; 1127540]; [29500440; 22177945]; [4216980; 98488065]; [58177963; 35647169]; [27909247; 86436441]; [59055611; 73126142]; [36688625; 95034162]; [7117424; 19751482]; [17050323; 23552618]; [75231682; 97663946]; [91426073; 45677582]; [55054220; 60151368]; [7813763; 80473035]; [74273107; 14082678]; [22705762; 3124050]; [69116081; 76404315]; [36821890; 80872683]; [35082252; 48934882]; [13627712; 86335109]; [55909930; 53193326]; [8280845; 60817370]; [87313514; 54051641]; [92641281; 19852573]; [81083350; 60817986]; [50964697; 82165106]; [96886639; 26302799]; [99042001; 78570230]; [36086229; 55644103]; [23875672; 99481422]; [89081159; 21385970]; [64612731; 45015619]; [55523560; 36136112]; [79664265; 15017883]; [384509; 8813209]; [11180705; 2447439]; [34080097; 38435677]; [78835593; 50677486]; [17253948; 15631904]; [67026205; 3206205]; [4372980; 90252181]; [8596204; 68563951]; [51459436; 19342755]; [43063537; 32985167]; [39294199; 52273949]; [54190228; 42139351]; [63442909; 61145882]; [84981453; 5211738]; [38987965; 15851321]; [85595351; 43992194]; [74911727; 61198890]; [89880363; 1314268]; [16885135; 78634587]; [41914491; 12932295]; [82800071; 40335318]; [7095488; 69381394]; [73688170; 85965874]; [80919588; 55454404]; [59496474; 81467548]; [78975788; 36593576]; [82508349; 22891929]; [46692706; 95243087]; [98399089; 64870422]; [72979579; 89717742]; [57543128; 86396065]; [29106752; 63532501]; [15576246; 19962108]; [48352984; 92342171]; [19542763; 17140053]; [96894029; 8777177]; [26435459; 8235376]; [17070908; 33216600]; [33356787; 80185100]; [25843019; 52787801]; [77717933; 24715829]; [38157025; 24890664]; [98103982; 33918071]; [64445801; 75132355]; [97591088; 44863011]; [74379065; 91629125]; [66602546; 75701116]; [84212932; 93535818]; [6821574; 71274289]; [83315073; 57870683]; [33813552; 98086328]; [6818884; 93145300]; [67873081; 83109456]; [21560162; 55343858]; [57546489; 65268745]; [19947192; 43023889]; [53677734; 1220272]; [95029091; 27956136]; [40354581; 36767704]; [91565786; 21986684]; [22129591; 90049723]; [32647852; 20898765]; [36374730; 88253339]; [69099298; 87159213]; [50875451; 81183095]; [35527532; 49393414]; [49666268; 16980866]; [69479778; 90334323]; [90729699; 87785340]; [7395112; 34024332]; [65121425; 16919274]; [77593696; 33956487]; [15454340; 96864846]; [92345483; 42371555]; [33723571; 73876854]; [69752955; 59815969]; [70396364; 47671067]; [29418037; 13162200]; [92478583; 33132350]; [38374989; 79537185]; [4125181; 78567108]; [44567749; 1853992]; [61867657; 27413172]; [32845497; 13705755]; [93018257; 58355031]; [65286214; 30735722]; [55476833; 39010476]; [41738055; 32442830]; [63672791; 50081580]; [39057944; 90467788]; [29692334; 62764940]; [59107139; 80792392]; [90357498; 39773314]; [44370524; 40401727]; [89242720; 3647620]; [4338509; 3974625]; [74808756; 71942468]; [25359154; 79131720]; [47791363; 71175447]; [11751144; 42873058]; [40954188; 18023813]; [82751437; 26262480]; [91771208; 74768762]; [17717664; 29515356]; [19086669; 94668780]; [69253689; 96060466]; [67568857; 83790487]; [66350302; 53520018]; [6367524; 33140682]; [9176146; 46982035]; [33839166; 97502674]; [71541274; 46506522]; [83636747; 17157534]; [11315385; 33907768]; [6899386; 87529329]; [36336409; 82181109]; [12918611; 16924634]; [55031322; 80986461]; [53381249; 84478771]; [64374522; 62244228]; [96260358; 47477245]; [2537566; 24755410]; [6182711; 58924739]; [19798672; 78541833]; [8328557; 43301105]; [1318761; 96920252]; [7314778; 35014453]; [85502201; 50371221]; [88093546; 99353615]; [53175336; 97059210]; [9607967; 38926807]; [54570429; 15224089]; [99275165; 95030189]; [76788013; 7696561]; [80924225; 79063317]; [49225578; 76708269]; [77836911; 225670]; [80547035; 20877573]; [16796808; 49417110]; [29913687; 15378137]; [68165447; 6476183]; [82538125; 18427705]; [18416518; 77604907]; [31356303; 4263719]; [68259111; 83520521]; [94538585; 76219362]; [32657887; 25512157]; [30207114; 93461437]; [26300580; 19617838]; [15025116; 668892]; [9621901; 71507778]; [22989041; 72485051]; [49876918; 98080998]; [75491341; 18178433]; [37726228; 70632154]; [89015474; 3631066]; [61314802; 40281481]; [91118156; 74582459]; [57984994; 38692047]; [61265305; 78382808]; [72657445; 40229809]; [33146360; 71671237]; [77498738; 47672380]; [68997345; 40368806]; [93422449; 80583645]; [48616241; 94520037]; [97188773; 25142403]; [40103929; 72186237]; [49983517; 21506891]; [37204412; 43120071]; [5903339; 60074987]; [8966714; 58313372]; [66887159; 63968731]; [11214522; 15431731]; [38730817; 39666157]; [2279205; 82370389]; [33143378; 11677692]; [49909740; 89810101]; [27679119; 53748012]; [46815288; 7912216]; [38227607; 20176934]; [44227589; 5984697]; [4095572; 50846601]; [25012392; 94580078]; [91530565; 42780034]; [70836767; 97389630]; [41540099; 60380599]; [38899271; 30311907]; [77375063; 34351138]; [20763103; 58802510]; [41719534; 70890230]; [6423062; 94746617]; [21932398; 6305474]; [96680255; 27125575]; [82589766; 15770331]; [65239137; 96577724]; [9102685; 82277625]; [80721775; 26680805]; [85185838; 6300383]; [86659519; 13113281]; [88039517; 20744540]; [86895700; 14763816]; [48504692; 97651907]; [30369587; 78240988]; [20363095; 88820750]; [65940149; 88257470]; [99538704; 19324215]; [28328901; 35706527]; [70994302; 91517104]; [64050738; 3399987]; [85478331; 14672026]; [79635680; 39794401]; [16480636; 95667596]; [20324478; 19850517]; [7619859; 35252322]; [93332122; 67830755]; [36231476; 23755231]; [13048245; 58462611]; [24442857; 18488388]; [88244818; 9932040]; [4512102; 51768482]; [78587780; 50913612]; [90998593; 89630788]; [78353860; 801880]; [64465002; 64706635]; [1226995; 25639860]; [3396074; 18324802]; [19076435; 48674858]; [28530145; 74566758]; [97573385; 66278321]; [94429624; 91586218]; [63327198; 82019677]; [54233785; 8696160]; [26196949; 70801219]; [70605102; 33873636]; [50316816; 63542859]; [16867746; 29359406]; [45983123; 86222173]; [93731421; 42684139]; [47056180; 47987829]; [20816281; 86347878]; [47943170; 35643885]; [11213467; 6287821]; [6158407; 21380330]; [49991588; 81911107]; [43944966; 28859048]; [95433797; 57405592]; [69880171; 26536810]; [57450046; 80859345]; [42510693; 63643479]; [23205183; 28004661]; [58212447; 72545252]; [29887446; 90559908]; [2261804; 44278998]; [595362; 85843666]; [84477794; 35316256]; [17224794; 3886587]; [83248153; 64035808]; [84190738; 38635883]; [30718554; 87224292]; [84412370; 79742730]; [22958277; 379590]; [81689510; 96446080]; [45445471; 83046672]; [46543430; 83726626]; [46958530; 30716043]; [73981947; 53216598]; [95584764; 83416120]; [58540520; 35766726]; [83111121; 77867913]; [83193395; 78577741]; [30349476; 53405529]; [70082919; 11442403]; [95331308; 7165039]; [66725022; 59048595]; [59710253; 58736224]; [95544603; 12120069]; [18937481; 77766935]; [27572083; 51844941]; [93906584; 48336672]; [93482805; 45843496]; [72937302; 46845476]; [57817966; 76370377]; [17078386; 98106376]; [54954551; 3742966]; [47084213; 99872292]; [86517185; 48969717]; [9375122; 51284846]; [26519644; 4500050]; [67469620; 21380617]; [88183159; 7154606]; [35328878; 48041768]; [31004165; 54472459]; [17007822; 83272114]; [65334210; 47241764]; [75556582; 71941326]; [4661923; 80041547]; [51346986; 24964236]; [95281766; 92413866]; [62623548; 26953563]; [15247271; 48590526]; [53683197; 6147511]; [41175150; 43684709]; [53184915; 21351569]; [54897075; 69503325]; [28458385; 54542820]; [93428674; 76622740]; [86634202; 89225013]; [98935328; 81657267]; [1978520; 87072799]; [56280868; 38586307]; [79195425; 23582257]; [17882917; 39688981]; [2779509; 17548808]; [72384078; 92348426]; [78854872; 88311153]; [75588873; 98772529]; [24966572; 88674441]; [92317606; 94197178]; [33359253; 83351826]; [9598968; 88746874]; [96511562; 61586026]; [73464027; 57772250]; [84013960; 66641412]; [51153388; 18009789]; [33364848; 54873263]; [67128315; 62131383]; [13437309; 1976781]; [12216783; 1308130]; [93424162; 96257911]; [75043639; 70115043]; [33970511; 53942731]; [77768714; 90018718]; [45159260; 17820114]; [80672996; 83205505]; [16000221; 96626151]; [86840331; 21182887]; [12842120; 17886070]; [98015578; 94881035]; [28700308; 13275815]; [89027630; 56004029]; [36658555; 25312007]; [80189632; 37740873]; [96264432; 46582904]; [45124404; 40240014]; [80149909; 97159504]; [97735232; 7993649]; [60146539; 45480102]; [76727225; 30192114]; [29948454; 25702636]; [44640187; 64091896]; [61641235; 96697256]; [25842506; 94017420]; [93821443; 56151024]; [73994446; 19802090]; [39831765; 14233954]; [96962140; 88325184]; [9962138; 23930975]; [65174605; 11948040]; [94932814; 28602940]; [25664366; 33782741]; [87776134; 85850481]; [38869453; 69711781]; [94669497; 11777697]; [97488696; 76806755]; [23959401; 1587537]; [4799723; 50859041]; [71164872; 7793024]; [57155114; 90489903]; [68778072; 61521416]; [58733517; 76498914]; [81729456; 98272897]; [64853035; 57425017]; [10528728; 96255593]; [17341795; 8912200]; [3179843; 41252139]; [30185167; 15285892]; [47183180; 85649819]; [94167485; 41232115]; [19181316; 97574463]; [37994224; 45757458]; [46672954; 82949155]; [57227360; 74157322]; [2284259; 71500668]; [85204628; 40718906]; [27552910; 18890126]; [94884305; 40999596]; [62934259; 41283689]; [89670270; 7326593]; [12186825; 10173306]; [27266151; 12026932]; [68394922; 72955763]; [62020644; 21593177]; [17958191; 56661025]; [25151669; 97270423]; [44693119; 28596509]; [74658473; 11105245]; [78547057; 32466503]; [98776080; 8280580]; [33372594; 30876871]; [94306580; 19668806]; [27777156; 51028140]; [13931193; 68653988]; [39441598; 45090905]; [26796560; 67142669]; [98242389; 12070705]; [94086785; 62958563]; [66081267; 63459397]; [6188172; 39181905]; [74679703; 93612409]; [66295009; 63443710]; [84622526; 35279363]; [31808966; 85825329]; [15737991; 8531785]; [57872219; 7263063]; [33249401; 96333073]; [43884519; 47598677]; [90416772; 26039108]; [45758718; 32153998]; [22125039; 44675001]; [92337257; 67732795]; [3115821; 7397472]; [62580879; 61226870]; [68072641; 27036171]; [82825288; 61600313]; [70723819; 52310794]; [96870464; 54295062]; [62372717; 57823137]; [17676964; 34739519]; [18075653; 89879387]; [53019642; 61712559]; [28123632; 41879267]; [71287895; 97266614]; [84328644; 57556950]; [23129098; 86543945]; [51452972; 22627884]; [53711904; 48404733]; [38593012; 58602353]; [67381885; 14813029]; [66662492; 71143870]; [3097709; 91063498]; [85561199; 94892774]; [65574892; 39753727]; [63685921; 94394365]; [78344037; 90336115]; [98953252; 80160436]; [59028946; 51986229]; [42731839; 29686269]; [48519013; 58374585]; [93022014; 12238191]; [35363495; 20475418]; [67423820; 24500590]; [96587132; 46214392]; [58219298; 11130983]; [53039405; 19173554]; [53279426; 79521999]; [49443051; 8858284]; [43501328; 79348822]; [31998159; 98870889]; [35637940; 79245711]; [24416287; 66049428]; [49622814; 21613924]; [30534525; 44437769]; [20034771; 5213140]; [37280922; 43498711]; [38954023; 35141710]; [60856373; 72829645]; [23632523; 18774947]; [13287159; 85687155]; [43542254; 23602627]; [19274808; 70845730]; [87406245; 79349680]; [77892829; 11399452]; [55319386; 18726190]; [86298787; 18734178]; [78297888; 29992370]; [62152798; 42291544]; [78025875; 45297106]; [42888307; 23326922]; [95584593; 4444147]; [98458973; 43056348]; [70075509; 15520549]; [46488850; 39403683]; [88996772; 96909576]; [64120278; 96276378]; [10527858; 33199546]; [77175532; 25312968]; [77723445; 88636435]; [26956881; 37533611]; [66799764; 95290761]; [16049136; 50100245]; [55675845; 33119655]; [94945818; 99373198]; [30646406; 70061609]; [69814039; 28254435]; [48583188; 39429810]; [40250046; 29805583]; [97051185; 78899624]; [30355934; 89798177]; [82890492; 66110667]; [58101414; 77632456]; [5241188; 48166965]; [22817318; 7009812]; [90611760; 25522921]; [50756416; 22243450]; [11335474; 79805409]; [31842431; 3330914]; [83843088; 74245672]; [52402481; 2270996]; [77188373; 93712209]; [15330109; 25688754]; [23416429; 75403659]; [20788215; 94229218]; [40997420; 15119862]; [94279026; 76292779]; [93865018; 70131768]; [74329111; 56239739]; [52260335; 30780718]; [28597134; 71282647]; [17724520; 87861985]; [13349463; 73657473]; [47472783; 33978874]; [90750093; 11996329]; [87661939; 85663854]; [37553032; 55765527]; [92723702; 11106473]; [88424170; 77856582]; [7561575; 53724992]; [68791955; 7593489]; [60820054; 82931913]; [67631209; 61066118]; [25997573; 55423770]; [28209386; 17264638]; [33335335; 22721977]; [69025667; 76482675]; [1261989; 54839001]; [61781516; 73435806]; [23674933; 64755667]; [10841255; 13797517]; [49472411; 9167557]; [36314893; 44864404]; [21075638; 1714552]; [35368369; 56432707]; [89185443; 20805064]; [31548355; 56372304]; [38768657; 36401347]; [7875346; 46960647]; [8745809; 51128285]; [35350289; 14379911]; [93601932; 42420663]; [52506470; 61542861]; [75212647; 68973921]; [46056744; 73744761]; [78808489; 43803775]; [46857102; 17594371]; [86234542; 8821789]; [56312856; 60698697]; [19860954; 17610046]; [13751944; 8754725]; [12183574; 93713229]; [56824518; 8578400]; [42426035; 63411206]; [6018162; 85200342]; [90884180; 46185975]; [71245472; 42260542]; [66375489; 95965551]; [43113215; 57196522]; [68404080; 25147070]; [20909001; 51484340]; [20653864; 6873317]; [19709584; 66568343]; [47605838; 18517975]; [98187234; 44942973]; [46989838; 73428807]; [75328497; 63484943]; [24317153; 37498013]; [64632413; 58172857]; [43971110; 75093395]; [74062996; 43498178]; [5991621; 54133522]; [63658491; 55823106]; [97665755; 165146]; [77945649; 65246766]; [91429855; 13353591]; [52837; 34283527]; [20066376; 87856621]; [73372342; 51672243]; [30765805; 20068558]; [40053864; 82729101]; [63097357; 68740948]; [47098411; 67100109]; [31280132; 56538823]; [76413255; 75671740]; [82249687; 58243182]; [87942752; 28401950]; [45016037; 22480236]; [28069437; 53125944]; [28268408; 32942434]; [76284778; 43529535]; [66428980; 30909416]; [21733068; 42457208]; [57847135; 81528465]; [6097893; 48212564]; [38426805; 83248174]; [28022606; 48763512]; [5167683; 68882945]; [29328109; 9392247]; [94484624; 40184998]; [34731336; 40464805]; [34490527; 90011280]; [58238380; 35858324]; [52980616; 63006160]; [77053956; 82699166]; [51382063; 5593697]; [13846170; 11741339]; [91403675; 64211347]; [93253739; 98031123]; [73308118; 89943537]; [94194175; 77930036]; [60364801; 7847354]; [90041372; 41913366]; [50275641; 70023383]; [61998968; 9276243]; [83090275; 36418881]; [64379705; 39699265]; [45967258; 48981663]; [13199208; 79828692]; [29081877; 4388983]; [73225931; 27797724]; [66087684; 11607083]; [74196917; 18203648]; [6734802; 4734674]; [4112013; 60484840]; [18394739; 2182958]; [42469219; 70856258]; [5725463; 53078583]; [6799830; 3219940]; [32843469; 29948371]; [31155509; 64412183]; [1944896; 99011125]; [27785265; 33728262]; [33343566; 32502849]; [15405047; 63525141]; [61888094; 34776019]; [7321640; 93951785]; [43081524; 63132260]; [69064792; 75244020]; [64765575; 96138628]; [82264644; 44491705]; [96081597; 60371526]; [92449202; 99149653]; [54110883; 61450775]; [78881426; 48455555]; [16289406; 514238]; [30660750; 71097950]; [3697802; 9027190]; [50564573; 22749376]; [14754548; 99377081]; [57933657; 21352177]; [83921495; 76599044]; [6528231; 95575459]; [33272058; 84783583]; [91381474; 90521663]; [56030874; 55202685]; [66218301; 96495749]; [14002215; 85505202]; [90229780; 16239593]; [84084202; 36060432]; [61781353; 36978751]; [18235628; 44282345]; [38480819; 58484543]; [75588269; 54599970]; [28479209; 52393671]; [6518171; 21827248]; [93212218; 71782770]; [27498317; 70596092]; [63943118; 87686719]; [96730450; 43536714]; [21601725; 74282702]; [44308060; 65750757]; [69023936; 12104876]; [17520139; 38816707]; [66052618; 49228901]; [66298427; 35962654]; [2931363; 41516432]; [85349897; 77157680]; [27171487; 66314322]; [58057360; 66586716]; [40679887; 72599498]; [19574960; 46381166]; [16863301; 65530008]; [2760860; 39761731]; [75218931; 86370496]; [56565815; 17043978]; [21548355; 96560489]; [57524515; 35547682]; [25340376; 95061250]; [7770927; 1007966]; [91335246; 65604299]; [71130348; 95341267]; [77962851; 29883856]; [48481145; 96573871]; [36781875; 1364350]; [77892591; 71984737]; [9171147; 98976096]; [13238421; 40458097]; [57872224; 61761841]; [10431748; 20259373]; [95552326; 532437]; [38015865; 25678598]; [54536675; 33967340]; [80147426; 29451481]; [67660038; 43919477]; [17745591; 69470226]; [8098760; 90232093]; [70445365; 21809717]; [18688209; 39811509]; [57829071; 52096868]; [50449328; 46256167]; [46735387; 38633698]; [50228272; 36317734]; [26363488; 43054413]; [82808265; 6448311]; [53703772; 32813982]; [85065513; 73719910]; [22223572; 34614717]; [36320463; 25418531]; [17515596; 99582754]; [44947089; 29369294]; [61095764; 96774236]; [52317696; 6970138]; [86224594; 83469224]; [4053907; 34914809]; [59767586; 13462763]; [92270227; 1494875]; [31026641; 27944852]; [77090554; 41207500]; [2759559; 31990832]; [68098719; 92747683]; [36162248; 47392635]; [83887498; 86694480]; [92035576; 21367533]; [24511386; 7501871]; [92544838; 38219390]; [4630797; 71845497]; [81443121; 88502086]; [97518204; 64770134]; [47731824; 18986718]; [79973781; 99730342]; [29597298; 25942351]; [51828845; 10893393]; [47693030; 62448340]; [2394235; 55547708]; [5970671; 40576052]; [9419317; 59305132]; [84156094; 38044669]; [1336466; 75801503]; [67677128; 55600380]; [56531950; 50343930]; [93634152; 55658317]; [86152368; 73493709]; [34479226; 74706393]; [71592554; 79493141]; [83675322; 718285]; [31112407; 74335189]; [79314086; 16299757]; [5892308; 13152119]; [54216640; 56552894]; [88481636; 54387462]; [56888461; 18148320]; [63365009; 57765361]; [57899328; 89257058]; [46797645; 32863948]; [79033444; 11830903]; [86157295; 16796241]; [95393986; 8251710]; [72495950; 16659192]; [98388624; 89993260]; [71349855; 70765088]; [50901507; 46432320]; [67595430; 79575194]; [84505194; 51265415]; [28061609; 35127397]; [17286614; 24395565]; [8546006; 70100512]; [88331407; 81985739]; [82165767; 58415150]; [89709520; 96577761]; [75236546; 18068698]; [22821611; 808491]; [30900717; 43601638]; [65864073; 54533805]; [33776047; 11414659]; [14600682; 53721831]; [52474304; 47629038]; [53629736; 2344263]; [3281881; 98727391]; [12870967; 11067614]; [33349171; 13568354]; [75781380; 24053484]; [8838865; 78445439]; [93371457; 42049029]; [60173641; 80397362]; [45688816; 76643612]; [49024045; 73907537]; [20008351; 22518206]; [75743164; 35412682]; [44393789; 33394210]; [46147642; 69767084]; [17254375; 87576339]; [22580929; 33123082]; [99455233; 97858593]; [99991910; 55932201]; [29114110; 72944024]; [9695654; 73736503]; [65057381; 92743018]; [99792417; 92930101]; [17278617; 44638222]; [56779971; 36553076]; [2893795; 73516798]; [64618562; 8039264]; [38344545; 10615329]; [2998081; 35770736]; [72227338; 65367227]; [79949947; 65334515]; [81750611; 91744383]; [39005156; 55989049]; [29006707; 27042045]; [29049741; 57037011]; [19962235; 4834206]; [78054550; 14947105]; [31337901; 46754310]; [47812780; 10293354]; [31185995; 25664311]; [10621069; 91225419]; [65224708; 13664097]; [10445081; 6847012]; [92111119; 6911476]; [49441521; 53401595]; [83352191; 21167189]; [35393779; 43601511]; [93099079; 10056654]; [24266621; 25518524]; [5856061; 19749122]; [42294194; 90508078]; [69465922; 22828305]; [84944284; 31391845]; [87748488; 10721305]; [88910192; 79124328]; [44395065; 26735964]; [3800956; 7357717]; [11444222; 75418849]; [9214046; 50480727]; [5019985; 18629923]; [11563300; 59951386]; [38510409; 38661357]; [58988302; 7587022]; [72730286; 5141544]; [41769030; 75588896]; [88417425; 49931632]; [85885027; 16522916]; [68101260; 52033791]; [26672636; 23453413]; [66261655; 14079033]; [67986806; 2352114]; [10411159; 10386378]; [19790997; 39312431]; [57247899; 18025672]; [14652909; 47378424]; [6719419; 30007531]; [76410678; 36606778]; [46017265; 92607340]; [9180870; 84832123]; [13683370; 69953060]; [84132210; 51862383]; [5086633; 46147159]; [78896454; 56713637]; [19801491; 77327811]; [99505009; 17433458]; [31818269; 20422524]; [15929231; 25304290]; [18632378; 55699661]; [36524068; 17946226]; [29033929; 62526723]; [10684382; 29884926]; [44074419; 24611102]; [67006580; 45407505]; [94869467; 85523940]; [41788563; 64677262]; [80821889; 69946579]; [51580266; 96542612]; [61027259; 93092421]; [7117878; 58721029]; [62693045; 13609800]; [37574298; 41360846]; [37576102; 30439184]; [69309206; 65094760]; [59468729; 16904945]; [79222577; 76701099]; [42450104; 10878025]; [65355351; 69322531]; [96510893; 30659679]; [26825123; 67255782]; [64658271; 27069069]; [43295131; 43322784]; [40475532; 27176197]; [9451636; 23375565]; [17003586; 21207602]; [94261826; 24183598]; [34351453; 46927196]; [99550940; 97554783]; [398865; 86449331]; [43939490; 9748779]; [46425607; 67806417]; [92963707; 96034680]; [67520632; 67495979]; [26740268; 3729148]; [50162389; 30379325]; [6035773; 21981272]; [40591446; 69476688]; [95852038; 70531]; [68621801; 94870270]; [40898273; 40983280]; [70763407; 49044665]; [4594958; 44075509]; [66330340; 25090305]; [67032482; 96216226]; [63157219; 79770375]; [65611146; 65306941]; [24890307; 18575537]; [4012432; 51991430]; [35668302; 36912352]; [41029574; 74432523]; [82602155; 69099785]; [18304524; 66006932]; [1490166; 89356473]; [47848658; 12670253]; [7802697; 28976869]; [3549552; 21569579]; [56031341; 92103014]; [72952953; 44722005]; [76966388; 91990020]; [29699176; 38665501]; [44088540; 80582685]; [90887151; 80316663]; [59490348; 73627818]; [92174100; 94798287]; [53824589; 27160392]; [55383427; 53499577]; [57595790; 51835169]; [21577074; 10092794]; [21153924; 75400797]; [55962911; 54980792]; [66778524; 97476509]; [29365580; 75544658]; [23100020; 88476588]; [85768321; 99414985]; [29568159; 43208428]; [95705712; 46939003]; [44810666; 15572746]; [34249394; 63793123]; [72982836; 9800148]; [11513912; 1285794]; [24845032; 73713157]; [78377755; 94348363]; [68823600; 8701433]; [68081435; 62282229]; [14437807; 23805106]; [75089084; 9406214]; [41586524; 57068803]; [45574640; 95013152]; [45215070; 61808385]; [19415254; 80374112]; [26285756; 64612565]; [45387264; 96923727]; [90209307; 46304825]; [1773613; 84639534]; [39258865; 8847666]; [79070464; 908988]; [47200388; 30773267]; [84936189; 44010675]; [87512957; 63751254]; [21014261; 30938657]; [83719367; 24325756]; [3544234; 75922210]; [59329435; 78285687]; [23161823; 32134731]; [69510402; 8679350]; [78591136; 80295176]; [59272142; 68100124]; [4055203; 5676350]; [39255713; 94245792]; [51718749; 59205693]; [55345898; 10669560]; [1336682; 39625568]; [13826017; 9420262]; [29285126; 13411555]; [87288242; 2611670]; [29205981; 47606658]; [44114900; 48444431]; [47532100; 6601215]; [21625744; 62998746]; [78187169; 79021172]; [19217544; 93477525]; [28545799; 1326024]; [72148189; 42852928]; [56477118; 71483458]; [70251734; 4108235]; [57773265; 13358669]; [29286205; 82914890]; [27709564; 53300667]; [51159944; 79260256]; [9356894; 15102079]; [59308110; 28346729]; [24956515; 87535206]; [36637554; 26999502]; [15841207; 89188124]; [82118116; 92968580]; [79410152; 28919625]; [54121281; 89942068]; [71088798; 23524805]; [84036830; 19235185]; [78250269; 52637230]; [76493613; 4401139]; [60881598; 64403377]; [28431608; 38966883]; [7043887; 27186894]; [20378178; 71894435]; [55679210; 13009280]; [72504470; 48375483]; [24585209; 69764957]; [26562699; 43459806]; [68421088; 86631676]; [95970479; 5074587]; [55389077; 50119862]; [76361015; 44031898]; [36847244; 15210435]; [48880640; 8207186]; [16075803; 95181984]; [65217054; 38441969]; [5700627; 70922743]; [89276863; 32743650]; [7202183; 82810431]; [9776610; 20363955]; [11412034; 16436601]; [9912745; 80466468]; [75506054; 90955059]; [4382275; 19921416]; [62978585; 13937620]; [61817752; 87349026]; [56981809; 26691322]; [52910318; 88312604]; [7589215; 12374459]; [81058871; 9158860]; [95164503; 92121425]; [49388445; 219665]; [53608879; 45720752]; [34513524; 24643220]; [83517266; 63011908]; [18575808; 8846002]; [20026822; 76967320]; [54571378; 62451856]; [63129741; 77927973]; [68756; 44432355]; [53699112; 65875545]; [57745763; 75282106]; [30253639; 13866460]; [95069697; 72054683]; [38222553; 6729561]; [10064273; 27092339]; [99932305; 5371211]; [32459517; 43078695]; [54781838; 68378071]; [9507097; 36017672]; [25919348; 61978885]; [20383410; 40731768]; [60060973; 4979250]; [41490550; 58725498]; [40662451; 67260716]; [8791388; 69512037]; [6086773; 90328049]; [97197929; 12903239]; [19520623; 76235309]; [60828309; 80030401]; [53083683; 68335671]; [69905726; 34120941]; [80955985; 87734329]; [16609586; 11958321]; [3294464; 25478484]; [9121124; 89752201]; [19610286; 26469876]; [85012707; 37832028]; [20215035; 61011053]; [59718732; 39201598]; [92896142; 24406421]; [59396828; 81479217]; [89932484; 40059747]; [70208920; 78372631]; [76917981; 82125559]; [16212481; 72752680]; [45708508; 96689319]; [84596814; 8616402]; [75550515; 20534624]; [63896222; 9739973]; [34659307; 81522986]; [13317440; 9968]; [91336049; 90474254]; [45078026; 24265628]; [3736347; 43541072]; [35271182; 93444343]; [60679409; 67196497]; [73865645; 68902996]; [4832581; 74741774]; [16893493; 34351157]; [46326262; 66343948]; [32661973; 32257694]; [66051892; 78997294]; [54641261; 89366946]; [78856480; 52827855]; [61555084; 75089772]; [12299844; 65542267]; [94305780; 44469859]; [8421318; 50660555]; [61393013; 38766417]; [10837867; 73196426]; [64620376; 5605740]; [82155737; 88545984]; [58234593; 5006275]; [49773426; 59074802]; [48525151; 30341446]; [44113853; 15306846]; [7767357; 64327661]; [34862534; 31099272]; [13086681; 55856031]; [14905870; 90781922]; [27108443; 89618518]; [70151884; 53917267]; [38807695; 34764965]; [58466763; 91830319]; [5434886; 33875077]; [72149050; 29754379]; [37696258; 20819832]; [76363658; 71372397]; [93397285; 16957519]; [14084925; 67958594]; [11200351; 749817]; [19332780; 92249134]; [95952889; 38268451]; [70724570; 72881492]; [82337152; 4756130]; [48238733; 5376344]; [46321129; 47076870]; [74764553; 12706800]; [50033111; 43634988]; [47212302; 33863357]; [89294680; 89017572]; [33944665; 95537047]; [99253459; 21661679]; [86657200; 82877895]; [75212516; 41979289]; [26244481; 97343207]; [48672542; 25079894]; [23564232; 56546345]; [44339702; 24290387]; [55668184; 37685168]; [51676477; 42583332]; [89238723; 92488435]; [6018936; 9859574]; [93474751; 36266400]; [57582064; 10535331]; [90234838; 3615123]; [84423953; 6642854]; [68270993; 87549783]; [15081026; 2037462]; [51760215; 80849439]; [1440705; 84631657]; [6804002; 71493919]; [69634244; 11651517]; [87332870; 39186146]; [88924370; 16156562]; [39014653; 94022445]; [41914997; 43689497]; [82226394; 53599445]; [85206551; 62148572]; [54150980; 5532760]; [6580521; 74944316]; [72525777; 71869205]; [57095243; 86826503]; [54818820; 28582339]; [81139329; 76280942]; [26385164; 9934751]; [7637074; 12249450]; [99842406; 15841804]; [36756340; 66748460]; [21787028; 29086974]; [11904824; 16456457]; [58198357; 19014808]; [29852719; 3820920]; [81720744; 93045193]; [42528022; 15411709]; [14841255; 26506751]; [96796340; 48105972]; [21378508; 79994895]; [91324935; 9259322]; [41988754; 91627430]; [28224029; 39428627]; [64059638; 11644036]; [50104758; 349582]; [33203030; 44575081]; [48712425; 58255019]; [1791002; 13528825]; [49216997; 70812532]; [1337558; 40086382]; [25727177; 2783284]; [46142767; 48700552]; [50009236; 15720039]; [10211575; 62403985]; [46800049; 78749126]; [50200403; 87097806]; [244720; 35313389]; [31237884; 69318111]; [79138599; 47602166]; [26266181; 48217292]; [77680595; 17263749]; [25222475; 32259937]; [15145407; 64700239]; [33551344; 40626046]; [61410994; 10632888]; [96244339; 82026744]; [32352212; 14131868]; [90884559; 32544421]; [84248519; 78891628]; [86601812; 51290755]; [63341211; 45743093]; [5427136; 15553493]; [72055145; 28546188]; [88188252; 38014633]; [70316511; 55131]; [65942904; 88272307]; [75997536; 31423134]; [74912228; 47176228]; [92340795; 50071241]; [66531278; 51719199]; [73426929; 35437520]; [30388561; 33882687]; [45345567; 19754833]; [65631188; 38418929]; [4623424; 73660349]; [30792022; 27581804]; [57273113; 91494241]; [57710627; 63835923]; [46121539; 83161352]; [91311141; 60765514]; [98839241; 98756697]; [65899344; 39840824]; [23439560; 5793714]; [11330278; 45026543]; [21551798; 63685054]; [77692973; 75190829]; [23991836; 15644272]; [19845269; 31863657]; [86491196; 35665802]; [34691240; 64281099]; [4162765; 76416281]; [82982747; 9428272]; [28223111; 53124315]; [59743531; 98043374]; [67302552; 73579365]; [19998941; 66776498]; [1435303; 84603915]; [78420001; 6218335]; [5817772; 5278570]; [37850162; 2552643]; [22287393; 21370423]; [57333777; 30013407]; [65051197; 26946656]; [44779179; 14466926]; [93064783; 38966998]; [19455560; 33036944]; [87198865; 17871668]; [49430034; 39400720]; [33199634; 43598801]; [94131871; 92925263]; [38431229; 25938675]; [26572277; 46765589]; [66941203; 54248452]; [64716363; 39386259]; [70496169; 188234]; [68865083; 98408118]; [68733199; 25356439]; [97562051; 94971322]; [80629031; 60180408]; [64904691; 44188632]; [89816597; 44861200]; [69433217; 57731617]; [19505499; 16656714]; [5557597; 91517318]; [56194773; 81250562]; [76318636; 25689072]; [755863; 25286253]; [31680608; 46063689]; [25154649; 86000021]; [90059655; 93446458]; [81196291; 3065856]; [1615808; 89437694]; [90971297; 65207753]; [89880223; 93612250]; [51616389; 98809387]; [18101323; 23409739]; [82944318; 83247602]; [4938164; 97123960]; [60053842; 44968364]; [89665071; 29416323]; [6101680; 2706711]; [37027712; 94650733]; [47104186; 48367121]; [41533933; 37749443]; [11762201; 36394413]; [7358461; 26442549]; [37126190; 31340105]; [27971706; 51043415]; [8329249; 1845584]; [2925474; 68131010]; [94674556; 16791968]; [35038712; 76214257]; [87213462; 60672609]; [83536596; 37668471]; [62856336; 33959968]; [81895018; 2158809]; [13005023; 25796]; [35444344; 74131392]; [98653402; 79766865]; [48955051; 60608667]; [30498499; 65781243]; [57771574; 66621417]; [13000909; 97557783]; [4726366; 58473201]; [64062439; 90708870]; [18114364; 60397430]; [39397857; 95450332]; [20315585; 42192416]; [33728856; 12367790]; [38136748; 60671321]; [75320670; 67564631]; [96124407; 7077488]; [19913378; 16224855]; [14355104; 97330695]; [38513766; 48852445]; [78265092; 60514184]; [59035980; 6315514]; [63930441; 60147543]; [84817574; 96911509]; [9330005; 30532303]; [91327723; 83889202]; [12828573; 19529470]; [42731902; 49212739]; [45278016; 2926480]; [79376391; 34006244]; [66842011; 99971555]; [45325679; 34972246]; [4241324; 42208397]; [6071149; 12716703]; [28805888; 12722853]; [65927693; 61364979]; [68277789; 30341105]; [75684474; 41400246]; [67086286; 55308930]; [93369095; 81746441]; [30250247; 80458315]; [45939776; 94970673]; [150053; 53111083]; [81350349; 19810638]; [92404601; 67087289]; [93823791; 79852152]; [41725231; 8876672]; [25500108; 98323585]; [48779536; 66187058]; [80664950; 88000736]; [1307584; 34974748]; [45412191; 69951484]; [73111710; 86135748]; [75863631; 87642781]; [27814618; 96135101]; [1059013; 19751726]; [30827569; 7713092]; [84601384; 4339286]; [18940548; 99160453]; [94248674; 20004651]; [56823648; 51781316]; [2266360; 15294732]; [48288307; 14608732]; [47361205; 65938318]; [6782950; 37142749]; [33065503; 58420642]; [92882070; 78242952]; [69963787; 51974590]; [22258494; 63971688]; [83126276; 39256727]; [29261268; 51597968]; [12995598; 81990285]; [35482220; 57280763]; [26555244; 28892155]; [91183326; 46651767]; [1041282; 51520034]; [36623247; 26059526]; [56845416; 25156530]; [10764250; 56905912]; [62492868; 60927054]; [77900524; 13503986]; [22424953; 41681508]; [26802242; 78794828]; [3968149; 34652202]; [50554552; 51558623]; [83763512; 79386957]; [71370359; 72359201]; [29431053; 26395794]; [95449696; 19744583]; [58486962; 86738427]; [16409178; 80169574]; [46500434; 3964662]; [37728200; 36059648]; [85165104; 16968855]; [59160700; 44838428]; [69020738; 36908308]; [22850380; 64514567]; [25011942; 9901698]; [82526395; 97646466]; [36099524; 45238901]; [8770657; 46695859]; [5317282; 32046026]; [71569150; 2962217]; [12380650; 97977149]; [62502872; 88512569]; [52896765; 69891642]; [55805899; 61882376]; [23725200; 59159575]; [79574201; 10012238]; [70971101; 52246625]; [80830614; 2389084]; [88747593; 84243114]; [52955757; 1772326]; [31869276; 46537731]; [21580099; 25629361]; [77448581; 58706223]; [80464308; 38708338]; [97104301; 55576598]; [67710888; 15605960]; [9118666; 94691979]; [17980097; 46151975]; [76130828; 31636853]; [56556074; 8841229]; [26294362; 53550462]; [78811955; 15890547]; [76926510; 9016828]; [84088848; 54048367]; [80321685; 7181073]; [48172562; 80299078]; [38015221; 40423704]; [4970643; 3127894]; [36479430; 5416017]; [2971239; 66384492]; [86286568; 68131141]; [66948047; 84505658]; [80618050; 31570257]; [24737064; 62815832]; [99729551; 35186171]; [39596594; 277723]; [55881948; 2036461]; [4350093; 68491219]; [81005756; 1443186]; [62928765; 37960451]; [70295007; 18643180]; [29940702; 28272318]; [12315525; 64687129]; [10823770; 29981823]; [34945028; 93570353]; [50284154; 60573611]; [48577085; 59348415]; [86443173; 73060836]; [96925536; 63006414]; [28653043; 19180030]; [98971494; 84177142]; [26486572; 70111788]; [52764; 79958048]; [1853520; 14325385]; [2869607; 2308824]; [10319621; 80653797]; [36741563; 12618307]; [53456088; 93317007]; [52906045; 35128097]; [23047684; 19947895]; [17094077; 75341005]; [86791177; 13798246]; [93360431; 83209639]; [75973053; 280010]; [51989512; 22949262]; [12382327; 35174817]; [96702394; 66789379]; [8978802; 89600843]; [35814723; 73939089]; [55015409; 18054815]; [78508565; 39776634]; [48377048; 79153330]; [1283724; 69290687]; [91502893; 69118692]; [66517302; 41011317]; [88713588; 89569801]; [53227714; 92828919]; [86824394; 93576292]; [7495407; 80755496]; [56711607; 3216489]; [15365248; 82467844]; [59485804; 85981326]; [38850176; 62670927]; [79162409; 8940687]; [49592936; 28322850]; [17561003; 91043418]; [88390914; 69594835]; [33904696; 32250095]; [34542179; 32534089]; [86170232; 53903529]; [54418755; 45737023]; [57942641; 26499212]; [16267575; 26122780]; [67519235; 51041380]; [75422946; 79184175]; [99073959; 40055294]; [30437716; 6442655]; [33660603; 16921888]; [96794164; 351847]; [45911020; 59559022]; [49834871; 95344813]; [64237529; 40594617]; [3598512; 80992473]; [63348525; 73419352]; [6573749; 98542494]; [62530400; 84922034]; [23640360; 68358909]; [56652312; 37181628]; [37585216; 68987746]; [24401780; 78228714]; [62431213; 90044855]; [22453427; 85745066]; [47843094; 81894405]; [85884458; 84471124]; [30801701; 58890940]; [98914536; 54744221]; [83169473; 72725876]; [75802219; 97858921]; [3920400; 34369767]; [66832847; 80421696]; [23101222; 31206118]; [80846069; 14497677]; [76296955; 17523449]; [38575881; 1799573]; [48588182; 15801792]; [87079696; 81684982]; [94836692; 21574248]; [25983426; 46329526]; [47148408; 9488312]; [2854024; 91458610]; [34585440; 19219550]; [65340212; 85562324]; [48744541; 39812365]; [6790399; 77253377]; [23101139; 19729510]; [39263538; 11690945]; [27853952; 80287546]; [86045266; 78641368]; [82234889; 66890736]; [47078908; 37503265]; [79140801; 34168769]; [20772481; 70427950]; [94364593; 28559717]; [87722806; 84115510]; [49232476; 33840657]; [90984928; 51335771]; [75872726; 66285007]; [69714036; 86994957]; [19316469; 66374011]; [36484067; 2476388]; [46220200; 7233123]; [17038345; 85519002]; [39658835; 77191085]; [39165107; 60731815]; [43888829; 43285271]; [21106881; 65388905]; [28379544; 29818678]; [91558883; 62009055]; [50166337; 60883682]; [87893931; 24197365]; [83834196; 53385454]; [97631361; 96299184]; [57920948; 39728479]; [25335023; 10011074]; [47074060; 25382378]; [45968131; 89807863]; [84149763; 78924222]; [34760566; 70044385]; [7407541; 52096268]; [13087483; 34305423]; [84518346; 98347373]; [41191768; 20120102]; [29103269; 88818704]; [29245541; 32488775]; [79859457; 84692098]; [6179865; 15823397]; [28324125; 25298478]; [88998869; 95001005]; [14995201; 55846804]; [81067361; 69276949]; [8388555; 11124953]; [97902592; 64025487]; [15298226; 59428438]; [99624581; 13936063]; [45421830; 95605145]; [811010; 76992543]; [75819022; 74711513]; [22786115; 14133028]; [85574377; 39672570]; [38396437; 6352137]; [55900396; 85406323]; [61083853; 82594841]; [42250597; 10700840]; [19524212; 68997604]; [31090130; 67338814]; [7843841; 96014213]; [10510513; 40558426]; [76255732; 86921172]; [20719092; 365072]; [93565468; 3261680]; [3548587; 99553677]; [93505538; 27849781]; [77152062; 36514640]; [20881231; 4323950]; [88972509; 16727269]; [71006588; 19639205]; [35736789; 76409774]; [94594848; 62469550]; [83687318; 88807978]; [61611777; 30485666]; [33141938; 70421014]; [28028435; 74767235]; [9288734; 94048864]; [88478054; 19910457]; [55445471; 36137211]; [38438214; 24331200]; [15759792; 36387068]; [80570893; 54369647]; [19284642; 18633096]; [94842300; 55425675]; [976656; 67238510]; [35247386; 48603762]; [28187392; 84713789]; [31911913; 2696082]; [33490450; 89453994]; [61960344; 90011267]; [13707229; 30400992]; [43478553; 89099802]; [46047139; 86483811]; [73638775; 53369670]; [46750650; 99642291]; [45997039; 91159764]; [40326026; 47617447]; [67146488; 27943870]; [43357380; 68215415]; [82794779; 27685602]; [18913438; 41022497]; [86451675; 74684677]; [46743513; 79011288]; [65722050; 85080587]; [92225623; 93772174]; [44212321; 55548895]; [53147509; 36488130]; [53351533; 89088650]; [3164999; 39921867]; [77855249; 4693935]; [73807530; 34074789]; [81358529; 21624310]; [55526607; 19254397]; [46916243; 3774420]; [43846787; 11183748]; [22955051; 76814739]; [11062962; 54303566]; [4059297; 53280704]; [89523857; 97926939]; [16472204; 78516351]; [82715703; 20742830]; [48683008; 58987200]; [28546953; 81833030]; [43734998; 84791900]; [96274760; 49908733]; [90764234; 88275856]; [57206266; 22130617]; [48491738; 81173722]; [55374524; 75818087]; [30758358; 61465037]; [29084776; 37416429]; [37734355; 35511180]; [63916456; 1411585]; [74232259; 43493071]; [13074516; 45335314]; [8099736; 52506490]; [58174446; 75060596]; [11272241; 65645397]; [33710215; 78169713]; [55807992; 27801040]; [65840933; 81302682]; [44960236; 94678188]; [72358523; 44130006]; [30410492; 21551064]; [54201550; 47239700]; [56883688; 27600087]; [59723911; 32907256]; [53425643; 39078757]; [84416834; 23914776]; [9259341; 46048824]; [99916777; 83002129]; [79733094; 94835328]; [4996662; 90057028]; [88717506; 29459995]; [95767536; 28418711]; [43044291; 61344211]; [75959190; 92463986]; [2589436; 76811401]; [48974320; 35856304]; [66198969; 8979818]; [53702763; 52158907]; [50540087; 58042839]; [59322009; 12585130]; [17676668; 97040206]; [67411913; 26017350]; [65373016; 29964185]; [21734883; 56213608]; [67459270; 90435175]; [41535773; 42135002]; [98165725; 36205730]; [69006683; 36698545]; [91266043; 64459257]; [46704834; 78375547]; [44022700; 53706010]; [60498888; 23301605]; [19408809; 59750929]; [96964742; 16921564]; [8903221; 6624943]; [83136454; 43134263]; [93821470; 40959406]; [96698727; 97724736]; [48931698; 55707776]; [22182099; 1042657]; [1002723; 80230374]; [6806632; 49336164]; [67926974; 12462493]; [26903154; 78036330]; [11959395; 26130920]; [57547514; 92526393]; [68802552; 82375284]; [98970097; 48257586]; [34466637; 89284213]; [14728349; 55450808]; [9356436; 69458719]; [53523003; 26940700]; [81672316; 67521862]; [88499872; 26848155]; [71802240; 62278499]; [40930566; 57281981]; [91685281; 46591006]; [55353829; 90537557]; [81206031; 85709539]; [80752167; 92417554]; [57042820; 45667150]; [62757244; 59284495]; [13953635; 43265927]; [42466804; 53231260]; [44786116; 34199076]; [61751071; 75589341]; [65516156; 34081925]; [56588790; 16971022]; [26126087; 15799403]; [15061493; 55289314]; [20435159; 65976179]; [43692552; 53752700]; [68557924; 69679411]; [12503637; 65660904]; [7471799; 62391256]; [40180861; 55299991]; [34365153; 83016543]; [77980648; 88971131]; [59789605; 88506284]; [74353493; 11671743]; [25261120; 58558785]; [22362065; 84668563]; [34239636; 33104568]; [19445880; 9660769]; [21614233; 37461628]; [37775322; 57770913]; [28063238; 45679955]; [6797391; 77193828]; [42131181; 93277327]; [24919891; 24417074]; [73653968; 92094755]; [52039159; 40619980]; [67158491; 70606894]; [41320453; 41853201]; [31613658; 26414491]; [28533080; 69272695]; [39008587; 19636555]; [992963; 15821075]; [95710778; 24165071]; [96632313; 60453911]; [27175495; 27131257]; [58097666; 64553393]; [11520865; 62138172]; [8012440; 82822851]; [38179243; 43036996]; [71691420; 8925087]; [14477262; 46346870]; [50022321; 85708385]; [61370829; 7427487]; [33281996; 53799658]; [13335466; 82556893]; [68689092; 32908371]; [80779017; 63768790]; [15784784; 82157909]; [15403526; 69875050]; [15961221; 59372779]; [33412044; 6094095]; [53658479; 15517292]; [25225569; 79957121]; [88616054; 13675507]; [97528752; 20999364]; [63371641; 70048549]; [63366367; 83506615]; [78565546; 28136750]; [67645312; 64664114]; [8118018; 99102714]; [39851904; 96430660]; [76065939; 52910308]; [38552728; 82703768]; [64982088; 69939798]; [86930950; 57538398]; [65020771; 55993408]; [52058869; 75793940]; [83986450; 49057114]; [58125484; 44631086]; [4813754; 86080825]; [31319284; 10758218]; [77689292; 54044643]; [17317027; 37790026]; [5557570; 97549728]; [20790232; 73731440]; [18846615; 95293604]; [17027156; 89677173]; [13451573; 61036274]; [69757706; 58987015]; [97545002; 86067845]; [11497392; 69557227]; [79395638; 96816077]; [74139040; 67787687]; [21966509; 42784171]; [40443471; 92535917]; [11267758; 1656137]; [74600639; 82455126]; [6868586; 36677122]; [23670874; 46153274]; [43453725; 18880107]; [93088615; 27486809]; [4976230; 91438831]; [47846759; 33373834]; [15449250; 72741236]; [23614953; 18007328]; [93987245; 69171185]; [95160555; 47147611]; [59741993; 19168329]; [70778753; 49056567]; [91007243; 53932950]; [97427467; 70386486]; [34399688; 8798612]; [9045794; 54483140]; [74343731; 63438034]; [16225685; 10752985]; [16683267; 89990061]; [19461892; 58923294]; [26242805; 76138316]; [1146958; 27456390]; [71542248; 64039638]; [8897409; 51340417]; [27522938; 72170225]; [24587027; 82889115]; [31609374; 37755980]; [83172418; 56181815]; [29769227; 8695277]; [47377548; 49301538]; [88939020; 69063114]; [87235303; 32458497]; [14325977; 69005218]; [54171553; 73906845]; [37687292; 52639466]; [70823028; 61773324]; [56702147; 7629506]; [33682101; 42960324]; [60290689; 4451302]; [20483632; 27230405]; [43241296; 74732024]; [18462118; 35476242]; [15275167; 2185742]; [5795138; 87652115]; [3133326; 32158227]; [45580869; 13913112]; [12890826; 37687275]; [69096711; 55504050]; [66687277; 3577951]; [85864804; 31537736]; [62975072; 5572728]; [26002517; 75923500]; [77753703; 53460191]; [51981079; 9656064]; [46394240; 11711482]; [76336864; 75653630]; [72572214; 47374591]; [3815252; 56541892]; [96415970; 19362888]; [54820678; 75640884]; [13459115; 44459973]; [38224729; 2587006]; [20503652; 37779275]; [66555292; 63589357]; [43292251; 80698581]; [80244307; 92903284]; [51196429; 40461800]; [2359413; 13960579]; [45449337; 56762257]; [6255493; 94133940]; [33318797; 60694884]; [8252392; 12539563]; [26158617; 83534047]; [70533529; 2140033]; [17752128; 1664995]; [14767766; 25507113]; [11265351; 34371250]; [61799785; 13037243]; [47113058; 97668948]; [32701672; 4230658]; [43807714; 45294141]; [3751773; 31554327]; [15791841; 19784856]; [6367473; 66452224]; [46654871; 64601567]; [62217603; 93265188]; [10912458; 98606622]; [60215712; 59709124]; [10904083; 53846680]; [47040748; 3464379]; [75125767; 13993377]; [68580808; 76680104]; [75385141; 13936367]; [25834413; 43112621]; [17697736; 22496618]; [15462092; 52148847]; [18859960; 36350787]; [37571014; 51594289]; [5647883; 10284304]; [93544355; 3753970]; [32349428; 60858460]; [43866328; 88316235]; [55205205; 91062303]; [86846801; 31904531]; [80712274; 72251396]; [71930314; 83691972]; [37871428; 40270380]; [55111574; 25618978]; [3694261; 75275813]; [97491640; 47791347]; [52329618; 69476500]; [25265758; 11943986]; [11909501; 93117066]; [36020959; 26479853]; [96971844; 3880777]; [56100689; 49347718]; [14066516; 70026078]; [33103052; 94437869]; [96486115; 34998481]; [56495732; 68157726]; [53170073; 58459531]; [19445863; 61975277]; [35948081; 84195873]; [92461694; 37205707]; [5673876; 97477453]; [6118211; 44761591]; [34291711; 80128645]; [24501449; 4381802]; [20868396; 30162764]; [14364856; 11717224]; [55876299; 87959679]; [20430537; 95336475]; [68341123; 44598909]; [48330919; 84614576]; [82928920; 47346972]; [24875251; 74996531]; [61506003; 40579213]; [16836458; 56145179]; [81824155; 86375323]; [52347005; 18101081]; [34623158; 94806419]; [96226111; 39552172]; [66156378; 14751039]; [7396488; 19425965]; [63530331; 44409515]; [94023144; 54614876]; [12436218; 2664567]; [83358671; 70088169]; [22037347; 32410834]; [64121206; 77455899]; [19572542; 92432901]; [42730128; 92096254]; [86980451; 34952715]; [18066323; 96591501]; [37871019; 61752500]; [66993869; 35803552]; [59032577; 28812455]; [82259753; 71195274]; [21143210; 73068216]; [65783784; 8144140]; [27805002; 10506134]; [12627053; 58840345]; [58853752; 23549425]; [27230146; 10485710]; [11079608; 76179888]; [39849224; 60531400]; [60667497; 95365681]; [87730677; 49777619]; [68373712; 11649383]; [28242743; 66647696]; [82826247; 22049998]; [88827787; 39638749]; [17876232; 66175083]; [2930140; 20405441]; [98651737; 98798616]; [51683736; 69696903]; [51886497; 48377508]; [24611505; 33557339]; [44424728; 63841794]; [93033778; 92910864]; [10851552; 75067336]; [99847750; 23311317]; [97236746; 83612372]; [33004334; 62040747]; [77691013; 68237272]; [79326417; 45281156]; [99977290; 44182031]; [68740755; 55991057]; [3042874; 45199533]; [87586028; 72247935]; [39392280; 87045561]; [19088642; 56154688]; [31144509; 46125910]; [53159192; 34751466]; [3407402; 6959438]; [72102005; 84359483]; [48958970; 99404315]; [71031389; 97742578]; [64220982; 70230161]; [97460140; 98843099]; [96423656; 58061252]; [14895350; 40585347]; [79505093; 42869421]; [18618292; 8558059]; [65649641; 15857538]; [98108639; 28969365]; [24661454; 31944261]; [69611653; 73604002]; [9214754; 5984762]; [14018063; 65535869]; [26029964; 70174401]; [26051620; 15780814]; [76419467; 35154940]; [74961438; 164468]; [63379552; 3476741]; [40249050; 56673789]; [2540286; 96761121]; [71248023; 21021159]; [18206060; 29245205]; [55015307; 40476881]; [36074656; 32343336]; [47400661; 53795605]; [77303710; 54225627]; [29836177; 39387691]; [31228362; 79106906]; [71442893; 45308463]; [84052230; 75535989]; [81092080; 44362093]; [38465710; 86642841]; [7045323; 11449131]; [23164476; 75193229]; [98278037; 19757949]; [30736881; 41352433]; [80167064; 97057485]; [45070754; 2692277]; [52567491; 53574444]; [97506320; 83517895]; [46266566; 87152720]; [20020440; 45718250]; [37599902; 29747152]; [49010419; 67432215]; [92315612; 70665276]; [66021332; 99962335]; [86886893; 99102992]; [53721156; 96486032]; [67314643; 6539310]; [76506285; 83586688]; [26690536; 36018352]; [12143559; 1926098]; [83503306; 86013371]; [72635498; 85137805]; [24900424; 14635487]; [8629839; 65153314]; [22515205; 73082324]; [55444536; 63694616]; [43078848; 49423542]; [97352068; 62682890]; [32627073; 18980714]; [68565968; 42645383]; [39022050; 60492183]; [47574983; 6915853]; [53601565; 24260217]; [74209268; 68946091]; [74535997; 3831653]; [58111829; 49967065]; [63852007; 33717447]; [49773981; 91513710]; [31414579; 21257666]; [69305965; 73064233]; [6444598; 78440590]; [92030378; 40547704]; [90182277; 41770068]; [28742897; 37246448]; [610814; 23809649]; [84723720; 8484919]; [23567798; 66224811]; [840430; 31402592]; [30123588; 37199364]; [66459605; 37740677]; [55647515; 58530526]; [24339741; 16487606]; [83261554; 34133757]; [76013387; 80251611]; [95017307; 26469956]; [25834586; 36407602]; [98154296; 88820641]; [88210517; 39172296]; [75393794; 72991481]; [38738618; 16493685]; [35591725; 38940748]; [48126637; 32291691]; [37547881; 66304292]; [54365048; 69549060]; [95476644; 18583533]; [86475558; 71625138]; [17068088; 90366503]; [71400084; 58308069]; [63171409; 54160488]; [48764619; 1081467]; [40614374; 80257126]; [36194460; 38248830]; [61196744; 44220281]; [6248609; 18049407]; [82846770; 34333904]; [24468022; 55832650]; [21195498; 94165872]; [2406837; 73176846]; [61345184; 70438543]; [85930716; 36613378]; [78015047; 37481847]; [14807116; 56236291]; [20832046; 18111024]; [64608480; 56886201]; [1662041; 44412736]; [8073688; 26792673]; [4771260; 5052095]; [12784243; 42697969]; [83290978; 38126768]; [10179442; 31306143]; [13142156; 42372212]; [54929728; 74095272]; [32612876; 5705764]; [14496366; 45449854]; [66406933; 9196637]; [90734078; 46724897]; [4023328; 50324429]; [20561262; 12599806]; [84843088; 37447813]; [82027363; 86278356]; [5670116; 10272109]; [98371484; 95200697]; [78625457; 7391333]; [81756129; 84261751]; [22839158; 5180457]; [2083611; 40627276]; [61514676; 46323283]; [91512549; 42818452]; [76063733; 53257653]; [95545340; 78350704]; [22256040; 54615573]; [44034248; 79924512]; [25090241; 43143007]; [6827232; 58356504]; [24393264; 81938464]; [55679871; 87266208]; [23235071; 18571047]; [1771086; 46633783]; [64922456; 98713610]; [14799370; 60499384]; [83881002; 39890556]; [39694443; 764254]; [75216249; 95306570]; [54146090; 2337348]; [64661646; 40634654]; [38151576; 84122097]; [67016567; 56733686]; [62503902; 85591336]; [48478691; 89291676]; [28066729; 52846089]; [28820767; 88197594]; [83195003; 97982473]; [34729393; 91951187]; [85926096; 75071683]; [31551455; 92995515]; [29890227; 57275864]; [34168404; 65808631]; [62448077; 65079831]; [53406285; 2160150]; [61010310; 90954800]; [44005219; 17413867]; [70553220; 18867297]; [60860417; 23446656]; [72891439; 81251255]; [65653891; 32574025]; [40730026; 41020637]; [92422248; 1377011]; [16130825; 54404598]; [13485720; 57854381]; [50202486; 95926429]; [18133159; 80435571]; [49620052; 77719408]; [15578098; 29590530]; [9381138; 70760313]; [84717489; 46814326]; [26645373; 90595379]; [47014890; 81020832]; [94408897; 9732150]; [83488740; 29633809]; [94899399; 7690760]; [21672900; 30238712]; [84644462; 14414377]; [18076454; 50241954]; [91066110; 13011408]; [3902286; 72944987]; [55546545; 75351168]; [47391558; 8735821]; [42853041; 68342595]; [29424761; 93612740]; [64464478; 71476730]; [34834585; 16560849]; [64733643; 33833516]; [87728903; 60917373]; [41379086; 35751272]; [8815728; 4059983]; [32531317; 56633909]; [1010051; 15680553]; [63872131; 46291925]; [98811433; 16118817]; [26836964; 70844702]; [48180423; 68311881]; [11235127; 51267959]; [3149380; 1925542]; [83406060; 43767412]; [2730534; 63365659]; [21058133; 70960650]; [49829976; 61123423]; [31589087; 69413093]; [81939385; 79351039]; [19865696; 84951855]; [28421581; 90994287]; [56723931; 59452002]; [61334428; 79846649]; [17106185; 90905665]; [1202801; 5634539]; [13509911; 4189363]; [98688355; 74024823]; [36938832; 33754435]; [38654217; 24898413]; [62064268; 97681403]; [34100379; 12915989]; [99007288; 65270322]; [82459170; 60205162]; [46904781; 10031749]; [87664141; 23745880]; [72870096; 27664812]; [34879759; 87844126]; [24802083; 75239419]; [48384318; 80450369]; [83073523; 53874435]; [77432180; 75396534]; [44141845; 92755885]; [29281162; 97462382]; [40250437; 4198114]; [65211085; 24797209]; [93793720; 98175540]; [21625968; 14683513]; [1024272; 17916291]; [46266642; 4623898]; [58108465; 29767245]; [15283058; 93124867]; [90271085; 30145953]; [1961831; 38533925]; [53760648; 6570253]; [1360563; 66711225]; [43058383; 18958070]; [62584369; 23344407]; [67294443; 79348355]; [47296882; 38879877]; [90674667; 45094203]; [55319019; 61034415]; [38370559; 90164680]; [17719111; 5718793]; [15964736; 87743923]; [78552900; 43399747]; [98846243; 94726387]; [70219277; 77229851]; [2229988; 82898200]; [49049755; 94632340]; [47170388; 97784517]; [55466764; 5161769]; [29596676; 62506937]; [53912871; 65332660]; [39597912; 72551558]; [59891589; 27144964]; [67161262; 12426733]; [85565593; 58249982]; [11158697; 15219272]; [9773962; 6183617]; [3897695; 83628637]; [53140623; 49222775]; [93122660; 20562759]; [77650314; 67785399]; [61639385; 6642930]; [9788578; 37852056]; [89743279; 30655147]; [64029770; 19923312]; [7730850; 96046649]; [45033488; 75488412]; [35402606; 16350304]; [77773317; 69469952]; [72964019; 25006847]; [33444258; 43673354]; [49026054; 24539582]; [88314905; 48459202]; [24712026; 70083790]; [40078411; 24662495]; [50949056; 3803660]; [88420133; 64720168]; [38387946; 11106039]; [19661126; 97132680]; [7310627; 31257188]; [26643194; 46099554]; [63074152; 9448386]; [97671259; 34491631]; [13117716; 66165121]; [43165168; 74472490]; [31531592; 51159629]; [70746937; 81509273]; [59288289; 7874950]; [50597818; 79939126]; [19308295; 21139219]; [70768402; 98199002]; [52387956; 20823843]; [60181956; 5600081]; [58672623; 97348916]; [38858931; 7466155]; [14193302; 20081463]; [93628941; 88950082]; [2228245; 44031520]; [28977811; 90989069]; [65537315; 18345706]; [9815501; 88175129]; [77356245; 67432811]; [57521196; 17473797]; [34939406; 61950731]; [11760923; 83238613]; [67717965; 91798362]; [36488613; 93574116]; [80128023; 97545971]; [11765946; 82909533]; [77205343; 16713670]; [97636302; 72694697]; [14679975; 29446266]; [29569231; 14489806]; [48979510; 62115335]; [92904294; 13700937]; [34083185; 96295739]; [37381489; 58012262]; [86236703; 97345594]; [20219562; 94988747]; [82243092; 96405794]; [75072688; 96427920]; [95974482; 67415647]; [96583776; 41662836]; [2129736; 8095135]; [82760514; 12444433]; [74168199; 58198029]; [90253674; 43190514]; [90885149; 22940775]; [34875110; 73067225]; [62529793; 47559512]; [72709616; 15284561]; [77832999; 42684917]; [62339844; 42642633]; [34040150; 88144728]; [65342952; 25289673]; [92165933; 52867039]; [94700028; 76323074]; [40764989; 31515175]; [56392755; 71023403]; [9912102; 42852884]; [16258546; 97590396]; [22184260; 44429260]; [61761595; 93877801]; [44280229; 48988774]; [44545651; 4834857]; [58993089; 36013689]; [24108588; 87754764]; [45922143; 25398251]; [74391280; 63445656]; [48836635; 19285842]; [89380995; 3635083]; [82652942; 13468637]; [49988276; 2091217]; [49420329; 58293319]; [39982302; 36059322]; [79503009; 99949272]; [87781062; 31430296]; [12679538; 65739734]; [153428; 3724556]; [87677758; 79496400]; [50640013; 20086995]; [52946926; 61676012]; [52417671; 55901976]; [73878506; 43966200]; [97197327; 67737712]; [23474701; 88818114]; [92696049; 5649659]; [68239556; 73060764]; [16242737; 49255506]; [12204261; 96735563]; [8676127; 38101816]; [65595689; 98062558]; [36496228; 21013220]; [20824944; 49012951]; [96560527; 33595091]; [40201436; 18625324]; [42737314; 21421565]; [35221336; 17092798]; [47378749; 96880659]; [73482299; 83395449]; [29400418; 5706118]; [6471799; 62209945]; [33577011; 54549471]; [36739124; 30495117]; [93690953; 16879904]; [29167774; 73092998]; [9681933; 12519531]; [5863020; 72351832]; [31050207; 23503887]; [97285893; 36164896]; [8385348; 10832228]; [55902589; 56372692]; [76145623; 41790366]; [97850248; 1962563]; [10169894; 45664411]; [70161585; 85807792]; [97805607; 23526281]; [36203571; 11988767]; [3616307; 83122228]; [87709008; 17533358]; [71088984; 46286397]; [83179111; 12244413]; [52378847; 65740439]; [70207264; 772522]; [9873311; 5958902]; [81556043; 72625119]; [69287045; 54449352]; [12341528; 28277608]; [93664148; 17707574]; [75101695; 8387461]; [71218498; 62564509]; [64800812; 39065440]; [44456588; 19033720]; [67376436; 91002347]; [30436203; 15771990]; [59684078; 65880746]; [90873700; 88703384]; [40428519; 30543208]; [64424672; 40972153]; [48803837; 88640320]; [16419945; 42686862]; [62177131; 91989315]; [82736035; 165954]; [31233475; 79827579]; [33744759; 74362104]; [7013194; 79508100]; [52283773; 8231661]; [18240550; 34630655]; [48253022; 54414170]; [31265865; 89648906]; [93452524; 92868439]; [91401552; 73809386]; [10889507; 33851452]; [12429603; 79707381]; [75413365; 5907892]; [81728455; 76460175]; [38750307; 14682148]; [41171486; 67638756]; [12465492; 25644385]; [99053753; 6524899]; [45017339; 92760937]; [2299173; 52539718]; [28539142; 29468195]; [35308332; 74968353]; [26533606; 20417939]; [67317780; 59030366]; [55677942; 69965710]; [62088004; 71706241]; [31456199; 48077110]; [96701365; 18771381]; [72989258; 79927001]; [21247811; 125086]; [77071454; 69493857]; [33704739; 27275357]; [89999859; 72208147]; [28093532; 30934327]; [6483415; 11970658]; [4756833; 17508412]; [46351282; 20819663]; [42614542; 17608951]; [4208107; 34570183]; [75403028; 34866314]; [53306447; 86922101]; [87061103; 50309036]; [87769521; 53886374]; [65236409; 3910713]; [12764860; 58424599]; [40702101; 60863760]; [53063541; 53740448]; [74176523; 58650330]; [5707455; 7076065]; [95553749; 67722111]; [5915610; 56728265]; [90721360; 4714303]; [58235654; 31420690]; [45410289; 10800737]; [81305386; 58452166]; [64551117; 42046204]; [29988801; 48802984]; [20051738; 64592495]; [16240794; 34993306]; [47239420; 23940459]; [5730258; 35006338]; [99469694; 86695450]; [68846667; 78773637]; [51481067; 97259932]; [1697650; 41539611]; [70881013; 44920290]; [30045936; 2163500]; [67080763; 26326780]; [35132521; 21386550]; [72552409; 26753149]; [91476087; 40568557]; [10656987; 95189459]; [17607824; 26528242]; [34787888; 63850844]; [94913196; 49887936]; [93541630; 17264959]; [59241192; 50391656]; [36474003; 80290307]; [85708389; 56814487]; [35425423; 85502464]; [2633251; 77061897]; [93991860; 27415327]; [23712810; 19792991]; [81765214; 44839241]; [81917873; 29226994]; [42158096; 92999708]; [80271308; 38526315]; [84825722; 35649903]; [26971619; 86804038]; [60946344; 98034848]; [63880781; 59290810]; [81509380; 22070833]; [89154411; 57459140]; [72642803; 65352667]; [51286956; 49637284]; [96072579; 83810753]; [83494669; 53638583]; [98766601; 12231378]; [1818387; 67136093]; [21638506; 82790494]; [87139302; 50242175]; [54735217; 64741637]; [95895004; 54001510]; [26483801; 55981096]; [49030437; 25202642]; [20255296; 98334721]; [18061657; 41745038]; [92538215; 6737592]; [2582018; 4076692]; [3098539; 9430255]; [2629517; 23163663]; [92815174; 30878677]; [60215624; 81710587]; [40045927; 87266281]; [21758416; 17408674]; [10172814; 18570167]; [60109743; 35654825]; [49552648; 3201107]; [12682117; 86809173]; [22283822; 45537314]; [84572288; 57007762]; [76415473; 99599558]; [66062200; 17816507]; [11520897; 88256876]; [64693227; 62116060]; [46736436; 65187688]; [42133486; 90841193]; [99023476; 14564321]; [49808025; 63140022]; [46292335; 28493454]; [21467261; 89504173]; [62990246; 92530281]; [59252017; 9066516]; [25693604; 56405953]; [30663871; 28619303]; [59261749; 23470353]; [35607049; 31847103]; [24245661; 60656576]; [50923741; 67848312]; [64818430; 4825649]; [85872742; 18050833]; [64837206; 33243070]; [48929884; 23315163]; [15096542; 55897535]; [28120817; 14022937]; [88966934; 51058550]; [6716799; 36418923]; [44821154; 4200580]; [49146662; 10566333]; [49290447; 60219237]; [72941773; 87612003]; [91875177; 41923208]; [98512317; 67348128]; [93735487; 83209866]; [22360546; 5647813]; [49607406; 37685384]; [14412031; 61496450]; [96790033; 38699591]; [73342170; 77825491]; [67608798; 70283973]; [67261231; 92728730]; [71363332; 71834039]; [35826356; 707602]; [2122513; 60563187]; [45630855; 47168632]; [99670833; 54093811]; [87672640; 63417750]; [86369254; 72183066]; [78372429; 14362955]; [19125843; 59738947]; [85908762; 19760808]; [44576129; 87693118]; [78997320; 42897706]; [47388937; 16476420]; [69082325; 17601124]; [9588446; 18030646]; [98107417; 27778026]; [38832236; 35742074]; [59493075; 83093742]; [7969805; 69049824]; [23646711; 19298112]; [76018180; 21835300]; [17645877; 22249559]; [18587077; 99718069]; [76387048; 47597823]; [2881310; 99844719]; [85512856; 22229675]; [67850170; 71969923]; [37386312; 52583999]; [61094279; 22298331]; [62204010; 80717304]; [29608506; 73396110]; [47785035; 49346193]; [78491491; 78391372]; [13064094; 65062843]; [28811014; 82769198]; [38425523; 78834507]; [33855226; 95977903]; [50101909; 82437423]; [97745654; 66851843]; [97876942; 50835376]; [2536575; 75081555]; [10993826; 17942463]; [51011231; 78237893]; [44873538; 8414580]; [36132374; 20698875]; [93645006; 91026374]; [97295752; 96099904]; [11279771; 56032393]; [22482355; 9337189]; [4306520; 71986318]; [50987800; 68233549]; [72155142; 4143729]; [41592351; 10561475]; [29964101; 54277271]; [31806296; 98647656]; [59400297; 43689623]; [30812597; 78523524]; [64424120; 54837647]; [24231747; 73579288]; [70611366; 91390321]; [94213041; 76157089]; [56238685; 53267481]; [74911432; 78602750]; [98464029; 58941446]; [7531248; 63495678]; [25037615; 96637386]; [40500787; 86669986]; [32695598; 79406542]; [35736644; 39679806]; [17752730; 90976041]; [5471669; 15933210]; [39553277; 47224639]; [80938394; 82357390]; [55746226; 6935200]; [96596216; 78698810]; [89060235; 1764314]; [45694772; 57669182]; [34396040; 67796916]; [39476727; 9028506]; [26261680; 25281482]; [70919990; 45359388]; [9264969; 20193422]; [9171950; 53204189]; [34693591; 74377963]; [8656861; 47168002]; [86621272; 4666615]; [38936759; 99303382]; [29868294; 47724322]; [33277840; 89661630]; [75432131; 14419497]; [20532795; 40546682]; [51202461; 96842070]; [16963774; 76785236]; [84356021; 57291105]; [65380713; 46965433]; [65437064; 55457670]; [87750799; 42447397]; [23873890; 78160868]; [26799389; 26259667]; [64179654; 1205261]; [12451678; 56731327]; [26128075; 36120028]; [18663308; 66963408]; [49747966; 3563333]; [29957924; 77732831]; [55573550; 98123826]; [84527806; 94679188]; [94294428; 80159886]; [78148889; 50644409]; [52868802; 25524899]; [31789155; 24114321]; [6269169; 87152071]; [1447194; 78614840]; [64630102; 42240380]; [30415182; 26462686]; [38213947; 9723764]; [11449323; 4705699]; [81182254; 96636696]; [66686151; 82400851]; [52957393; 4696648]; [30890070; 45441525]; [38374164; 44688697]; [4617473; 74527412]; [16451533; 28356754]; [65993774; 2228491]; [62736806; 16752619]; [17483018; 27294794]; [47821873; 50227757]; [31209622; 65353796]; [10486332; 24814420]; [91063652; 56669485]; [74847485; 77674392]; [8236111; 42865]; [69733831; 59341380]; [75649659; 48799416]; [41332887; 96162428]; [77698386; 4057557]; [1078188; 73546656]; [64274544; 73774131]; [14470121; 81696459]; [6143589; 74812859]; [49877868; 82932960]; [78346230; 26005239]; [38775085; 18964793]; [98889774; 53676720]; [45984361; 29866153]; [62972452; 29032592]; [68744886; 20774235]; [8912175; 95424204]; [24077503; 86065973]; [32000894; 48091359]; [59065524; 19716252]; [96154582; 42862791]; [78857242; 4376059]; [24489781; 79518273]; [98550428; 64796180]; [67509735; 25829714]; [21931380; 78426769]; [20718637; 97090116]; [74172816; 47609261]; [72639191; 97741389]; [68483232; 37498988]; [19487022; 13245717]; [25810781; 83503324]; [59312212; 91123924]; [76336887; 65835725]; [53129967; 36797857]; [63665606; 57564932]; [17715406; 58372157]; [76487606; 65614716]; [6439457; 58315591]; [484401; 91345774]; [42458431; 14695983]; [76275065; 25001932]; [34742300; 89317751]; [60200638; 61843729]; [88724397; 40031987]; [44626434; 48339538]; [9066192; 74639228]; [33833344; 29888673]; [61428989; 59395577]; [74914687; 71177857]; [46992370; 99426314]; [72819706; 4519571]; [24978795; 99700325]; [52958436; 84864435]; [43101492; 81841681]; [29092608; 68343122]; [67022443; 98302282]; [65271495; 6476284]; [48961019; 41388613]; [46147249; 12812970]; [25894884; 21913104]; [74860866; 9979721]; [36859205; 18717410]; [47718994; 73186727]; [85825211; 51536854]; [18290374; 94422524]; [10997268; 68459424]; [70217524; 44458888]; [10935841; 20249482]; [5323034; 84546994]; [43734289; 81770373]; [82073898; 4606179]; [22503147; 20630231]; [79173791; 82928057]; [80488531; 81271210]; [55653147; 73467638]; [95393166; 69183068]; [37378012; 97247429]; [78525533; 63471473]; [61348841; 64616262]; [84492889; 65839886]; [77768647; 75180119]; [94302802; 6075146]; [37025209; 66936455]; [87154161; 5774948]; [11502; 4235541]; [35637435; 33327186]; [50223611; 42427384]; [53067779; 33694354]; [83664207; 77256997]; [97176031; 39395915]; [2560365; 35184021]; [80604233; 37735707]; [60222331; 56129314]; [48013709; 92739849]; [38572993; 7373346]; [18377038; 82538935]; [33752463; 9913540]; [26262935; 44731298]; [1597618; 23298775]; [46295837; 20678753]; [29139121; 70745289]; [56543864; 23352189]; [941363; 19561421]; [13460467; 76945602]; [99772519; 85358983]; [33768316; 45473050]; [46612760; 15562869]; [62631035; 25569404]; [3993042; 48722264]; [93677220; 48430829]; [79568309; 9090317]; [42015635; 69661491]; [7989874; 76363395]; [37031378; 92584081]; [33371099; 10923017]; [24384563; 62760398]; [94357150; 38436368]; [78084244; 35476843]; [64606176; 46565116]; [37365567; 38961283]; [71935809; 71203562]; [64638403; 93036888]; [76103540; 92838955]; [65186056; 59984916]; [55538406; 61256952]; [17969968; 83117612]; [4289305; 97344523]; [93274189; 68427854]; [58704181; 68237416]; [59601411; 47732273]; [15187954; 37057891]; [85717595; 23421475]; [90699668; 61345237]; [98816534; 52985448]; [60211693; 71870090]; [77434507; 46890368]; [79239912; 92725301]; [96460544; 58827416]; [17172267; 81398746]; [3130880; 45746686]; [66048413; 41055670]; [2947372; 44052795]; [66214625; 7539261]; [79071994; 14838259]; [89277475; 55868959]; [91418909; 64479366]; [71652457; 30511071]; [95586856; 80717847]; [30945008; 71924561]; [85062514; 88703353]; [75975617; 87427041]; [96237085; 20892645]; [11671264; 43303721]; [36581649; 99296558]; [50189897; 99763339]; [96584097; 81683777]; [82203831; 94502666]; [74644746; 90561773]; [1332374; 51348525]; [73955698; 49589165]; [12699094; 97223282]; [54844909; 54904967]; [83758897; 82680977]; [99714647; 44836810]; [20767363; 53243773]; [65356770; 85530540]; [21241790; 48293512]; [12889166; 9308959]; [70248820; 44820956]; [29706544; 13113845]; [87967614; 35804568]; [12072309; 98615893]; [92830161; 88694851]; [91682201; 22314709]; [33414994; 44971403]; [20085416; 71917425]; [71873086; 83785186]; [32464251; 74445273]; [86397893; 96552892]; [59654373; 12161472]; [36480370; 32519701]; [83615435; 35064067]; [93110048; 96186107]; [6000546; 47763635]; [50485958; 62688412]; [40939340; 37224333]; [66978250; 71125016]; [70769493; 219351]; [5038057; 10910998]; [85169370; 86018243]; [40402508; 61443681]; [63169926; 32694454]; [32472225; 99331814]; [44639949; 42676642]; [30821574; 38304191]; [21068498; 96907608]; [11066368; 29820577]; [89706195; 1413105]; [88757384; 58761140]; [84716762; 82428944]; [71172865; 82143733]; [14941291; 95334978]; [38280407; 67762433]; [8518903; 16953562]; [43138031; 56002326]; [11031003; 53452803]; [70233624; 76350418]; [82791597; 95915338]; [44576730; 28788408]; [88767232; 91988172]; [62084215; 28649732]; [23789370; 86959697]; [39647919; 31909060]; [21602951; 69985982]; [43746728; 97500284]; [69591959; 79643171]; [12466361; 98635031]; [64173019; 63854050]; [27899323; 68370506]; [45020357; 40675319]; [77013126; 24360935]; [42663836; 40795628]; [62190189; 56949687]; [66431613; 93712989]; [6859910; 33040376]; [60640849; 51239441]; [89954918; 92884045]; [84749676; 67741975]; [84171407; 45562540]; [32673596; 34498183]; [54355481; 79540672]; [49876001; 22675869]; [91348757; 86039160]; [2068813; 53469016]; [6785352; 68992947]; [76180953; 84282948]; [80461935; 76045774]; [67368472; 85880588]; [21494640; 67241781]; [43930788; 49585422]; [41173008; 81225938]; [91211189; 37278420]; [61596920; 71608591]; [61075642; 30276637]; [64766887; 52164342]; [87642188; 71372839]; [17223046; 20508037]; [84621472; 98943789]; [37868739; 59704691]; [80621842; 61014976]; [86344837; 38389742]; [36543188; 42780532]; [75495933; 42631620]; [70882767; 93050765]; [29246348; 49144597]; [21196153; 31447539]; [99140215; 17379130]; [89056950; 97021881]; [6414151; 55585988]; [6043744; 14796321]; [82778425; 51901376]; [40424537; 16286325]; [97992721; 71388074]; [4932063; 23716607]; [50863838; 38482159]; [82051441; 97958915]; [22065364; 85926731]; [68599621; 57071914]; [18743545; 63238543]; [3882606; 35088692]; [73406250; 65799125]; [68571354; 16575652]; [90901169; 30813324]; [61742999; 76450556]; [28492493; 94036845]; [40078566; 99352317]; [15411858; 62436494]; [75251469; 62448490]; [43664523; 78149906]; [48189665; 12817867]; [80770299; 3920181]; [97121319; 70797879]; [61197582; 48781009]; [32553930; 6196634]; [43854008; 78413308]; [38791758; 80778480]; [13875039; 577933]; [74900698; 95989762]; [27985000; 81784607]; [50196184; 88826739]; [32822282; 48278314]; [10743814; 69786757]; [98662941; 29689882]; [60284122; 2479187]; [86878427; 85760065]; [82098463; 71217314]; [62139783; 85263988]; [74227895; 83830580]; [22460864; 57798570]; [60751484; 32661645]; [93704600; 77279963]; [31390833; 12044701]; [95363677; 13290581]; [76695999; 73361336]; [32083452; 93327953]; [19391720; 26025153]; [18747118; 4336571]; [41702472; 40549835]; [29635894; 15312047]; [93366048; 27731698]; [69536752; 91187542]; [95586547; 28125297]; [26695230; 23635908]; [52365227; 76559554]; [30664734; 84482901]; [22124241; 60849827]; [87744750; 73886704]; [24856276; 71768397]; [85080168; 74728544]; [99457235; 36865321]; [70938671; 78112767]; [12327418; 56210100]; [85991520; 55810194]; [98015612; 83274521]; [39681888; 4218108]; [27563060; 67224874]; [60795554; 4009506]; [51863557; 8874]; [18949873; 74309654]; [34369218; 87556663]; [35591645; 10441305]; [50711381; 41895315]; [13285777; 3162502]; [84870667; 48986053]; [25426505; 82084210]; [23443994; 83686377]; [17604272; 55958690]; [33795829; 91934163]; [6184606; 82477470]; [82648083; 42216128]; [5659569; 60816351]; [31539256; 57271581]; [90204541; 30505797]; [96281502; 80882594]; [79457582; 91348375]; [60711763; 29612178]; [78438248; 58816721]; [70400855; 17680201]; [28443152; 39566443]; [51992225; 85093169]; [27606569; 42369004]; [38074331; 88110519]; [74412067; 79435008]; [50721793; 22549778]; [25538376; 37029704]; [98392443; 16095158]; [47265757; 76201577]; [50898914; 2978657]; [23716629; 80560899]; [37572109; 57766485]; [32576082; 63253772]; [99156446; 76024241]; [680683; 63716161]; [98289581; 81950317]; [16651230; 68852736]; [28800702; 72544369]; [57618533; 65227722]; [95527404; 62281790]; [62050117; 13006873]; [61594787; 73576386]; [9108897; 2088993]; [96028274; 93169529]; [19953767; 66185560]; [62001556; 48686803]; [15039151; 22070787]; [49295866; 74780135]; [91803184; 69331885]; [45968761; 44627739]; [64148208; 86109001]; [8876455; 14988255]; [72555470; 60517224]; [55850488; 39174355]; [38712120; 30101272]; [60964514; 58624340]; [99520987; 54168498]; [48510585; 16003603]; [74224683; 78253176]; [44718903; 64618168]; [85299946; 25740441]; [89136471; 47628191]; [82416261; 67273135]; [27956356; 59654624]; [90316210; 32018679]; [53787306; 37884843]; [30427635; 10011095]; [28882525; 64275165]; [92579092; 1011545]; [94340286; 30605034]; [41321562; 73362453]; [96459339; 95502335]; [88214130; 22257990]; [21583315; 15898115]; [94377498; 30162254]; [32497382; 16922706]; [1178301; 47430778]; [87814571; 97460114]; [35482931; 93083670]; [38043611; 49375600]; [28266460; 14489276]; [75987936; 90188748]; [72837823; 58947870]; [46711672; 1192954]; [37696242; 82584551]; [83239778; 33871294]; [54325705; 72926292]; [91521347; 94906329]; [84856616; 78368385]; [24426686; 27802104]; [88703092; 8159134]; [38879064; 48940431]; [27806031; 72175969]; [29801304; 39721338]; [69272277; 1776335]; [91586777; 31075404]; [62449532; 54005383]; [69327371; 74075784]; [74680689; 84399333]; [50764469; 43210117]; [33432608; 82330887]; [7192797; 55195403]; [28514314; 33867911]; [51840854; 40176082]; [50605419; 87278067]; [61071580; 32166443]; [36543193; 17768372]; [62721881; 77943681]; [44707490; 34965753]; [59515025; 16299612]; [95200650; 23933247]; [95687111; 26780219]; [15191447; 57718163]; [94023141; 69458050]; [55019731; 99863300]; [62114224; 48690012]; [31225865; 178394]; [10028219; 33238928]; [70555117; 58920216]; [78882478; 69111075]; [39668955; 14047631]; [76133547; 92819675]; [35886261; 9645995]; [77759299; 47954432]; [91650026; 96809820]; [51971956; 99477955]; [40953932; 23318929]; [34296945; 21904390]; [96902036; 3295959]; [89251046; 48017010]; [38227037; 96161257]; [62259228; 43847502]; [66639636; 86421424]; [87046810; 66606516]; [86197838; 8857066]; [44961679; 43918131]; [14436745; 11453364]; [783521; 79743979]; [2913382; 77972632]; [13318615; 32946402]; [46175272; 79568772]; [59734213; 30425941]; [27153103; 67395096]; [86725907; 65315601]; [64733220; 53110317]; [28875355; 29446303]; [12965220; 82013984]; [26183164; 20697574]; [84453523; 3294347]; [88757174; 57360368]; [5552858; 23648832]; [26074049; 17968726]; [60563079; 43134989]; [84679341; 74969746]; [28042306; 645702]; [45659015; 51966004]; [20345510; 46030171]; [2520047; 3970265]; [1028082; 5693186]; [73896641; 28263107]; [98128033; 19899554]; [2370261; 60624439]; [80328704; 14956828]; [2423455; 48977600]; [1517301; 92843173]; [20795946; 41676355]; [69681580; 15440626]; [40841497; 62612577]; [36591456; 25057012]; [40538367; 37981308]; [19410916; 70885565]; [7263256; 89684451]; [89595398; 14237876]; [6214736; 77382085]; [15827804; 41090239]; [62352983; 84660860]; [3163252; 71210197]; [16168586; 1481940]; [83365679; 3132206]; [71353112; 37703692]; [28724749; 53838982]; [36550174; 70267702]; [15397894; 22431031]; [34075387; 75573624]; [35974089; 91152725]; [40646390; 79375981]; [87771887; 33235059]; [71678248; 29972308]; [55198608; 29122911]; [15217299; 4057469]; [24534531; 7346580]; [69774587; 25801874]; [15196449; 64397756]; [50974662; 46161385]; [1229305; 70277034]; [10630721; 39782880]; [42139976; 71311157]; [55135825; 2336731]; [80047978; 77615600]; [43413976; 69081569]; [94254047; 71157150]; [32743857; 73130650]; [20148906; 96162101]; [22660348; 15568832]; [10239842; 97609555]; [63370275; 98319844]; [96438783; 76161361]; [19353661; 20899986]; [13227410; 14275758]; [69118673; 54861246]; [25871993; 97728309]; [71463502; 51185895]; [740107; 86424965]; [63191540; 87022604]; [97888657; 50353056]; [74603290; 35968587]; [62594202; 17767583]; [95956696; 18721889]; [94234024; 51179523]; [6457450; 6273034]; [74285543; 80420684]; [85333260; 18350277]; [66255466; 77816721]; [65559610; 12076476]; [54270157; 8252103]; [84031224; 39752989]; [67823886; 2427765]; [45523592; 74188078]; [36875529; 60223761]; [26554728; 83326214]; [21407193; 1599306]; [76022769; 16762094]; [8186776; 90620785]; [4916020; 57141505]; [79709077; 20600405]; [93789215; 44019707]; [15870660; 73928648]; [33879013; 18807358]; [85205735; 17981268]; [28608827; 72324080]; [75227527; 81186600]; [61466188; 90383428]; [96669279; 84859366]; [14010277; 43054094]; [21128077; 75558350]; [20861858; 40779033]; [20480478; 18813400]; [28219262; 31517333]; [43941332; 4172801]; [9201094; 69608235]; [52803849; 83684213]; [34697477; 95927243]; [20030900; 23342224]; [26368998; 43925504]; [89806950; 60060807]; [59305298; 25952427]; [51101782; 20835472]; [90046463; 28440761]; [45731636; 39366846]; [86481731; 84764951]; [58348741; 35667222]; [61496037; 87075600]; [88812516; 14335860]; [521374; 62769093]; [42182486; 59281490]; [89901688; 33455595]; [64184962; 98257744]; [14393191; 88579884]; [74341428; 19577259]; [88096987; 12393361]; [57141288; 59735793]; [4632852; 58604594]; [99523353; 31087561]; [28367092; 24444003]; [53388317; 46773727]; [84787712; 29423778]; [24005871; 92130293]; [27459894; 10707391]; [37780177; 65081311]; [26434025; 82962325]; [37056963; 18022277]; [19207009; 19807898]; [59056129; 74264764]; [49020462; 45613899]; [46399061; 44949480]; [46403508; 85707748]; [43252397; 78901414]; [28427376; 7866811]; [48591723; 73663938]; [76714592; 53407375]; [56552670; 45291776]; [93037023; 50438788]; [24325270; 7098123]; [50072121; 61600823]; [25283804; 37076878]; [92946759; 52241485]; [13223032; 67579031]; [37300472; 9801640]; [44870182; 66142165]; [11847225; 77075139]; [64519087; 89900045]; [90390534; 48650491]; [79183907; 27466214]; [82900062; 66025328]; [19134775; 35144270]; [5100889; 74194166]; [37214835; 26895373]; [68037973; 68242647]; [94170101; 60443182]; [13717292; 77115837]; [33882556; 87819344]; [1687086; 52017003]; [44637706; 33496669]; [85842570; 30834477]; [49934581; 61942090]; [2705504; 52102517]; [60654711; 99323675]; [79839463; 26394705]; [65334586; 39751975]; [73542639; 21842924]; [47693009; 8509192]; [67590205; 37680152]; [76128836; 438506]; [74831186; 35778925]; [35213174; 75821866]; [71270646; 64092854]; [69015996; 98797471]; [20345530; 80298842]; [87309630; 41247342]; [2993079; 36754469]; [91385588; 1228987]; [342407; 6789766]; [91540886; 16698443]; [52431105; 77559835]; [60637487; 45665341]; [32617606; 41360741]; [89832120; 25374222]; [63903913; 91921017]; [65680324; 66544915]; [72296269; 1859997]; [75403512; 3999568]; [26908283; 82535947]; [80798307; 37243995]; [19964776; 25133558]; [7170293; 53351477]; [17473211; 57498441]; [10891276; 70422479]; [5404511; 58990271]; [1754924; 78565687]; [82488413; 75174056]; [65324009; 67511151]; [45601542; 93770968]; [25920890; 59948350]; [93482231; 87641973]; [83425721; 82998305]; [72949239; 18989386]; [22119162; 88715442]; [45017984; 56337237]; [96828907; 80481834]; [94313603; 50746336]; [72269386; 89924072]; [56350888; 71540893]; [10359749; 5732542]; [51103311; 61553817]; [9189943; 46203861]; [36010971; 12887849]; [13363954; 33100588]; [88198481; 10109530]; [64114300; 38318535]; [21090414; 13950603]; [57490219; 29434709]; [31363438; 76591060]; [15280759; 60052142]; [57394095; 37956216]; [99676454; 27257191]; [57116289; 14611418]; [26056167; 15672948]; [11667753; 60268468]; [60105053; 70474867]; [95656619; 70068308]; [20284987; 64616302]; [34460778; 71685798]; [13265190; 182220]; [90706750; 32242078]; [92746531; 82983502]; [11927879; 4491726]; [8611210; 34728377]; [72377088; 42888428]; [47594335; 82654354]; [69344425; 88696027]; [16738948; 79974917]; [60452752; 27536977]; [48210256; 29238397]; [85389202; 2767730]; [7452747; 27296632]; [94271351; 96945149]; [33648336; 20238131]; [9837264; 65983519]; [20425615; 58593438]; [65893101; 59462554]; [41459592; 94982883]; [35509162; 4191152]; [98512335; 86055742]; [41347207; 56800651]; [84496754; 52965213]; [52422430; 61505778]; [69458299; 61011918]; [18809529; 35339992]; [77277712; 18762262]; [50378827; 29402053]; [20025771; 50825257]; [69335071; 41961653]; [75620673; 10024833]; [60758818; 89681179]; [52269822; 16262693]; [84909190; 83177559]; [86636140; 11458256]; [86641875; 78233892]; [73405226; 71104244]; [49752693; 57595494]; [95130950; 28276505]; [50651428; 55268415]; [13648805; 56606397]; [9798998; 17144849]; [73179568; 59495778]; [47240667; 80620811]; [10679251; 36800845]; [76483235; 8016230]; [49392522; 62149653]; [99367940; 23855048]; [2832624; 88970887]; [32180146; 29406994]; [50087516; 77642714]; [96249181; 72920136]; [56377861; 57778282]; [90742066; 13357008]; [24247996; 49020049]; [73760844; 66653711]; [62899558; 84062075]; [30235686; 24173678]; [83474285; 83653123]; [46456663; 91582809]; [90254499; 29224686]; [43817658; 55495498]; [60039298; 50428562]; [74827420; 59350262]; [7992793; 11197679]; [45215551; 29819906]; [69170263; 81888349]; [17981697; 97529849]; [34779525; 48543643]; [4879740; 10363893]; [7793413; 55943962]; [37594729; 25655284]; [2986394; 14984335]; [45112746; 27546865]; [1013897; 77168785]; [92023822; 58167377]; [13938294; 87649668]; [66205894; 56997023]; [74599682; 38706511]; [85390278; 75045201]; [21730981; 73173392]; [84502459; 1039576]; [2608059; 4672240]; [66038175; 83010424]; [53921004; 55109115]; [26971961; 40857931]; [91023390; 35497360]; [40439417; 47389554]; [87934323; 81142082]; [88343118; 81413319]; [685152; 55514602]; [41637951; 1316414]; [49468541; 5001515]; [78875319; 99180095]; [91967945; 37044083]; [79685340; 60780217]; [30974998; 96704872]; [56923163; 9175356]; [44451400; 91675583]; [54917028; 92799383]; [7887387; 76433079]; [23063314; 82271572]; [90767485; 52381917]; [47797838; 83741117]; [51078071; 46182764]; [35572091; 37778541]; [19610240; 41467300]; [88744674; 42474622]; [23786308; 50030115]; [92204485; 36418565]; [65114904; 25072295]; [3862140; 3868817]; [19180057; 91120225]; [55980783; 42006964]; [69167598; 18620815]; [50596214; 33484198]; [48085429; 56134454]; [95221683; 56518905]; [52293806; 92394971]; [61668282; 30700046]; [78246971; 98860556]; [40149671; 2833496]; [3735269; 62569358]; [19636327; 92721304]; [80478854; 85993497]; [92844368; 2283697]; [45898189; 33141890]; [85745402; 63000883]; [42539797; 90787979]; [80196369; 32582536]; [4501995; 65046752]; [80199939; 53210623]; [94419076; 6051452]; [85836860; 93970243]; [81603194; 80524921]; [32314333; 58694340]; [20417823; 75935275]; [51567029; 68189211]; [23508588; 56710065]; [61252572; 71188450]; [38533616; 67884085]; [26809078; 48567748]; [88903857; 95179875]; [30001639; 46396591]; [18220479; 95832186]; [65511422; 27874757]; [89932863; 85082269]; [75609562; 79868225]; [83046600; 52262513]; [10547107; 70229235]; [54045647; 27748303]; [12480527; 2223935]; [71866608; 4782419]; [28509626; 7982207]; [89965431; 39186147]; [49546291; 92583608]; [1492779; 67597691]; [4301702; 90075422]; [7359392; 84657036]; [60624057; 18458013]; [83401193; 23732684]; [31286526; 10329153]; [23534683; 93837570]; [2786829; 353516]; [711446; 55213888]; [92899310; 80801992]; [13804103; 31878655]; [41131188; 19103959]; [31825320; 81817395]; [79176484; 93103323]; [11483367; 42740172]; [92778962; 7147644]; [93570264; 85052832]; [34542613; 1850404]; [18524415; 42149630]; [56939875; 23911093]; [57907488; 5946533]; [40163419; 11576750]; [70450505; 6618076]; [97665910; 44897098]; [48469980; 85937159]; [54102766; 8731947]; [44591551; 89037204]; [2816349; 5787267]; [9735171; 10656616]; [11928849; 52880983]; [18318027; 34056950]; [75934746; 63328770]; [1098845; 26969326]; [16063882; 66704230]; [46942018; 85336323]; [95679648; 52443195]; [6882310; 97932908]; [15183540; 28999818]; [82862483; 41029382]; [58219264; 66166633]; [48722275; 96486814]; [52600943; 1356182]; [93314615; 31065611]; [98584717; 23791093]; [65849813; 21542381]; [69821755; 88784527]; [73211479; 37956435]; [8814777; 78564440]; [52514685; 189764]; [35734037; 66005377]; [82660692; 51330533]; [22454365; 92139859]; [17118683; 78779429]; [75592310; 31609800]; [34052279; 57812600]; [54860260; 55441767]; [9927695; 98433067]; [60520111; 28790332]; [13308720; 84998998]; [79866482; 89866268]; [12894633; 2456765]; [28670664; 7524363]; [67176349; 30710571]; [24242624; 57853052]; [451786; 77828013]; [27783087; 5736551]; [83483136; 15108217]; [31904119; 7536451]; [70376117; 53794818]; [36170011; 1061677]; [43962457; 7820737]; [33429950; 65678508]; [61437190; 74170936]; [91096782; 39646706]; [51375437; 99644325]; [30088754; 50370997]; [22466979; 3129032]; [42436464; 69149662]; [60485395; 93045570]; [66639086; 63240894]; [12812373; 89343986]; [97718196; 87091377]; [57167823; 96410980]; [22825232; 97109370]; [85717570; 23089403]; [12127348; 4523769]; [64684710; 85120257]; [99299892; 36319970]; [78518503; 65960573]; [57912128; 12932770]; [69110789; 3251260]; [95097964; 19977832]; [81667486; 69468856]; [56698682; 32527338]; [2287269; 55411779]; [96199417; 47320091]; [39915042; 79615481]; [7580416; 1808724]; [85683805; 41602177]; [529353; 24888384]; [30502724; 98876129]; [72886185; 84075130]; [94917627; 59318497]; [76234583; 17896249]; [8738888; 20438568]; [41450165; 75320792]; [71197090; 34769709]; [48693691; 23074859]; [34120515; 96799295]; [36878467; 41572670]; [47101358; 87770542]; [23839296; 51124032]; [33149946; 44606490]; [92417359; 20451495]; [22161223; 98905158]; [22465861; 76196696]; [75206609; 52843251]; [75117783; 9151335]; [24608050; 76682068]; [98971315; 84191083]; [42288272; 95458547]; [18883397; 78705291]; [8978918; 54541136]; [53672292; 17282845]; [24399272; 31805002]; [43495941; 70721350]; [52845903; 64438035]; [16790889; 52620490]; [26684029; 35967422]; [67324086; 81769894]; [41535938; 73175019]; [84465894; 37018124]; [84111396; 41934203]; [59866705; 9743969]; [49964524; 57950041]; [25867566; 14271359]; [56528904; 65857155]; [69072522; 4516400]; [68873881; 55848571]; [2552513; 37736477]; [8998097; 548978]; [101097; 20749622]; [10851767; 13948982]; [30590747; 72020712]; [30836128; 80926680]; [85441544; 47083995]; [8466184; 93202432]; [6363817; 43397110]; [80340690; 88195740]; [34024732; 21760892]; [82742760; 69134192]; [28360060; 98442111]; [61830365; 67741142]; [82589260; 27537680]; [95094899; 65229590]; [67161211; 96922572]; [4999503; 22770275]; [80305508; 99016326]; [72661293; 96391238]; [4880565; 89467008]; [51917790; 45554182]; [43756938; 60456230]; [88593634; 78923102]; [55751760; 87015636]; [3230869; 75313934]; [70224470; 3394487]; [74212183; 74943791]; [37948873; 13224251]; [38608166; 21300110]; [54668975; 4096032]; [37165968; 92507129]; [67297203; 90401057]; [42992479; 59501454]; [76932869; 38807620]; [62212012; 62668381]; [63256127; 99250700]; [53288732; 84086781]; [43743438; 59958354]; [41306643; 83541873]; [53344631; 7971273]; [82212213; 15632353]; [23288066; 54378424]; [68659679; 43403970]; [74587186; 95286484]; [18188640; 93644601]; [16092265; 18173949]; [46123488; 61006486]; [45181603; 10041227]; [94807129; 49116251]; [30864876; 43159579]; [63353146; 43317356]; [66876281; 42995631]; [26018914; 36284240]; [15831935; 63982598]; [83799369; 68575068]; [78644900; 33284314]; [19944168; 77030909]; [16911953; 20587675]; [99737664; 12158873]; [81115503; 40609785]; [97485119; 79577670]; [59605082; 40626841]; [98716293; 45848253]; [50104422; 15501286]; [35184605; 3584669]; [87363434; 62257643]; [43513024; 9699308]; [86836738; 10338281]; [54645124; 18647556]; [18794550; 34789118]; [51878424; 79578270]; [15343340; 51798116]; [47907539; 71485259]; [11723027; 3851872]; [10392450; 87021306]; [97043817; 3058965]; [8961146; 54017776]; [38451427; 24779222]; [94242482; 57789626]; [58972542; 42952542]; [22762483; 25488606]; [8727487; 32337223]; [45344885; 89724129]; [16180210; 41106589]; [68222303; 79451349]; [47301400; 511177]; [37593854; 59049276]; [65639180; 65994972]; [48147960; 84817094]; [69229610; 68579181]; [83349892; 61746480]; [81287405; 79787979]; [28237; 48229625]; [68955468; 39126126]; [80956488; 12092384]; [7171926; 96841013]; [65600634; 26159251]; [10594466; 31518347]; [92984087; 84261030]; [25695887; 31718531]; [22619370; 20704333]; [62321927; 12595065]; [90134989; 75757881]; [31647818; 12360353]; [88959255; 96578987]; [74283799; 47443222]; [31884935; 99398337]; [50438248; 91751391]; [49210460; 81657052]; [71813344; 39478853]; [91976415; 44164034]; [62530460; 35702275]; [62380385; 31080968]; [48218385; 67558839]; [25828936; 40299519]; [87005060; 71072496]; [34939060; 43045358]; [71246515; 19602549]; [17989414; 95847455]; [5340272; 32848304]; [87696429; 31018759]; [72091679; 17369185]; [50288897; 25431029]; [85338770; 67719956]; [78391254; 43762397]; [35532325; 98843738]; [37752597; 81261280]; [7276630; 16824582]; [24929549; 16169386]; [40737223; 71313366]; [79809125; 10622049]; [43767036; 65357883]; [54772370; 32104935]; [58851955; 78160249]; [50995073; 56342412]; [48886365; 37785355]; [78703258; 38471274]; [66420345; 9482536]; [82298724; 70062343]; [27035691; 26582965]; [41269916; 14992008]; [86761715; 78742686]; [43577829; 74776632]; [40694892; 89961707]; [9960933; 54299555]; [56177301; 94022681]; [6004767; 73562778]; [69030478; 60674123]; [93697139; 92063641]; [27604047; 82340298]; [48091779; 1722834]; [73089848; 13107170]; [42802796; 12419769]; [49828340; 2515153]; [54790310; 27898866]; [96575438; 13517529]; [88616096; 44964454]; [67440892; 27630467]; [91147439; 33160582]; [67899363; 54406301]; [44492251; 51736363]; [90456842; 48883813]; [86327922; 78022656]; [67777627; 45218266]; [41956175; 12761564]; [39765655; 1319261]; [11884755; 78643577]; [80596612; 75976084]; [64829002; 72555301]; [68598535; 98532991]; [99898792; 95719381]; [27654399; 75794168]; [65518896; 56263368]; [65621299; 64210514]; [47648927; 34427139]; [99691934; 74283917]; [74645859; 95283877]; [31193113; 97618138]; [38540567; 5524615]; [67532905; 29913036]; [45054095; 32511329]; [6611696; 57528753]; [98225680; 30125888]; [87489987; 23561915]; [13213868; 20165368]; [30800577; 47890537]; [8718919; 98422843]; [18735920; 40148118]; [64668730; 23246417]; [48820319; 85583540]; [99214578; 47798978]; [6240139; 17982605]; [63282139; 81359086]; [82139672; 78810534]; [63784527; 86309808]; [91207429; 64969394]; [62129706; 72943896]; [68186125; 8663790]; [95537555; 15954310]; [266548; 82816969]; [3784600; 15852141]; [99967185; 60226517]; [80652381; 80109501]; [59915063; 74642176]; [61468633; 30040431]; [15658706; 42885775]; [95102912; 29493951]; [75553216; 39302260]; [79899883; 68067665]; [25820520; 19477438]; [98964783; 4973579]; [68481890; 98668637]; [84074983; 50570046]; [25930370; 64382475]; [62253560; 36511793]; [90706909; 20062787]; [42347657; 42968218]; [36748045; 39362303]; [69563392; 25361055]; [25856539; 69013522]; [97363181; 57590537]; [35342483; 9664142]; [70153028; 19918891]; [77382774; 54277752]; [54294205; 29538795]; [6251737; 83036373]; [83556159; 99040017]; [95851202; 68208640]; [22844035; 5353392]; [63511119; 19435731]; [93908458; 81306008]; [34550802; 15404236]; [99546289; 29139978]; [10502483; 84790230]; [92199857; 88601027]; [37631269; 7271762]; [96693114; 72557889]; [27711511; 53702719]; [62731140; 92410196]; [21400665; 33825241]; [33004308; 58675888]; [13916370; 14107161]; [28953196; 75327417]; [19313123; 90062798]; [57658854; 76884127]; [89913046; 90269614]; [25158591; 12290559]; [86497213; 45365601]; [80173178; 4887989]; [59801943; 30841965]; [49492107; 53038829]; [51538545; 89842192]; [71869745; 52869084]; [70292804; 96485748]; [55001951; 50879285]; [62904493; 92968233]; [41439884; 1761010]; [52727335; 24534436]; [324273; 93248467]; [73618603; 68279793]; [37527286; 82103990]; [50223020; 42966082]; [83164561; 70564983]; [70224245; 92624537]; [33336661; 16327017]; [91286117; 44880262]; [84910281; 90526789]; [6721445; 94162418]; [38481552; 47398594]; [66445382; 37243636]; [90759643; 78098485]; [52395280; 39296987]; [65414064; 86357995]; [40582494; 37628075]; [86685377; 31687837]; [39983525; 19724766]; [31449825; 93138851]; [66107681; 22824888]; [81410982; 21953529]; [44218171; 50859585]; [8338414; 38958120]; [6669028; 48638106]; [18807358; 41865257]; [23798295; 3554163]; [86318263; 72661126]; [21881701; 94922996]; [21483834; 92768848]; [8179122; 44277024]; [59431776; 7592415]; [31736363; 82138950]; [6855067; 37196535]; [38235997; 57930279]; [21633559; 30522000]; [90414833; 4620603]; [39458734; 38212629]; [47663846; 23927249]; [12379896; 5200723]; [68149456; 26950139]; [63091172; 1409899]; [12651713; 92619012]; [65944944; 4133014]; [6396098; 75223971]; [98300083; 44146473]; [15098559; 25788655]; [99675151; 73072514]; [45932601; 69021513]; [85908263; 26727023]; [17679079; 43104921]; [73914092; 26310564]; [11406647; 13600501]; [40238370; 9799793]; [33039822; 70459205]; [64912360; 70525261]; [88821861; 24090618]; [61056892; 39667545]; [58827016; 62580476]; [30903724; 74207580]; [42546017; 39864914]; [28410787; 43522744]; [39584601; 61685251]; [81236046; 19815348]; [85470085; 75247506]; [13716992; 42196235]; [48807151; 55537225]; [85003404; 4202520]; [25958887; 18620239]; [40711769; 66733467]; [45779946; 83315576]; [93048400; 79735018]; [80225163; 91562068]; [55512984; 99656594]; [55150042; 45270299]; [30883482; 15382978]; [24180380; 10924778]; [33411504; 11736166]; [33853197; 52139155]; [46236395; 8605741]; [90648658; 95358398]; [40838208; 14589166]; [96933332; 6419646]; [57167210; 47515915]; [61387311; 5331366]; [1341383; 93129595]; [80626641; 29695316]; [78789096; 84525770]; [27386864; 26066904]; [81621008; 10535474]; [45614467; 82542831]; [6349128; 65741363]; [59486291; 8149692]; [29814363; 10656594]; [2303022; 7681090]; [76590331; 14538607]; [94349910; 70645392]; [91083799; 69472944]; [12215432; 22400330]; [4326929; 23538237]; [57698278; 41330070]; [61168214; 68790275]; [64791026; 33827323]; [48459124; 12363246]; [58464272; 43529975]; [29158322; 25919163]; [83636780; 93634715]; [10208563; 32577293]; [33226872; 80260003]; [9809232; 32200523]; [44135224; 58275410]; [90701905; 38499118]; [37288762; 25051868]; [31095152; 71033968]; [52343946; 68674832]; [58129630; 15252201]; [72865404; 87494526]; [15163259; 68813073]; [79856523; 49449870]; [33501774; 82661230]; [81960981; 17808994]; [21134881; 46321171]; [46598657; 91196286]; [47832268; 63087012]; [92440271; 795860]; [77335554; 39899706]; [79114674; 15409092]; [69713785; 34862144]; [69597494; 73984724]; [48663006; 18758439]; [67254011; 64492288]; [82858269; 83998877]; [29273612; 17797881]; [7123004; 9612055]; [18674762; 36941878]; [70634337; 80409677]; [91502201; 40322842]; [86846125; 61559190]; [72011363; 77213752]; [34859491; 44379003]; [49949869; 9889509]; [89376035; 97253353]; [63297499; 90034096]; [66512235; 20595164]; [63311612; 36227807]; [6490927; 30530502]; [56642148; 88172829]; [27598125; 93674430]; [28428955; 85536127]; [88948177; 10436186]; [21070900; 7582726]; [94200077; 70547261]; [43936005; 42990114]; [89108155; 77459365]; [61951965; 59179449]; [32340891; 77012622]; [95662828; 82496822]; [50844291; 96767640]; [2198164; 17686971]; [56842384; 6057142]; [83983349; 64625044]; [4912340; 59012791]; [66385750; 86435748]; [23860158; 86783321]; [30222005; 56384574]; [59242029; 35344040]; [48491564; 54358021]; [72178539; 612107]; [39028805; 3781658]; [25467625; 28973045]; [96043376; 21937430]; [16482155; 43726235]; [9812195; 96308318]; [9451637; 50675675]; [25898759; 17315356]; [29890919; 4212765]; [58657479; 6982839]; [50066455; 11544833]; [20020070; 98393189]; [78864582; 8759077]; [18178220; 92380259]; [89702070; 5096240]; [29127265; 63571045]; [68757108; 19450418]; [53665219; 39949457]; [12653193; 21154410]; [32530852; 15686399]; [67746223; 7497977]; [49127953; 46220206]; [41826; 75654139]; [55268676; 14926118]; [73088551; 7298028]; [67699467; 24199483]; [64093568; 54780179]; [58894252; 95130738]; [51059292; 40677704]; [9987246; 88581679]; [62388874; 65846950]; [28270390; 12137830]; [54505778; 14379474]; [39604721; 28467577]; [11283035; 72457297]; [69006512; 37798231]; [49341068; 79491392]; [20653951; 10871530]; [24926058; 9694631]; [55077906; 52276037]; [58211339; 6146616]; [7236765; 51263883]; [89716128; 71906430]; [27766082; 89631178]; [11903109; 12804360]; [2408943; 1379265]; [96089709; 86109637]; [61916563; 58124112]; [23068459; 19771997]; [12457643; 9472088]; [80867305; 58266256]; [19942118; 67071896]; [4366108; 54490582]; [1239745; 12374904]; [69389907; 39698503]; [4579322; 59239136]; [65839577; 92823829]; [9419050; 92509870]; [59598728; 33969053]; [58038592; 45802186]; [29732144; 44796071]; [71997051; 52118204]; [42479115; 16862690]; [35654355; 80937911]; [13636487; 90107037]; [58709087; 62351411]; [56474650; 57425754]; [73356302; 69664618]; [79443580; 84930408]; [76808979; 65961618]; [39997971; 89722872]; [82211095; 77960201]; [71010919; 59620264]; [73835867; 4652931]; [82273853; 59675214]; [46534936; 56726303]; [99724751; 43771437]; [96245428; 9702812]; [87994520; 48387247]; [11550719; 19009330]; [95055682; 40120688]; [46996655; 18543814]; [47434892; 35033706]; [65078380; 48663623]; [75773044; 20123344]; [98277013; 86697428]; [77626951; 82782781]; [9536037; 31135117]; [29299270; 73320975]; [56420207; 10146814]; [69195302; 59737122]; [34014454; 63133930]; [86026470; 521368]; [67712259; 53527631]; [50565393; 27390445]; [57794295; 76879016]; [17883; 71992500]; [62813587; 44580886]; [35918413; 73070488]; [24391753; 98388672]; [36693768; 39340273]; [54184173; 54172781]; [69113693; 81403442]; [10070925; 22663237]; [80928270; 63586091]; [63760338; 60244035]; [39837074; 12108038]; [2997661; 24807745]; [79366356; 39368122]; [81352759; 73704146]; [60255780; 41942934]; [7154551; 32744410]; [68723411; 9412104]; [56512917; 30256711]; [82403949; 16044519]; [86680025; 45631412]; [74316806; 2300519]; [19533300; 20177713]; [86860392; 34888305]; [61003820; 21773237]; [17755327; 50825352]; [25766986; 6978828]; [2523041; 17889162]; [82325448; 78317063]; [93802068; 15738041]; [46734566; 20481829]; [70293914; 1571960]; [38772257; 29758284]; [90130482; 34447023]; [73554256; 44915775]; [65419659; 44569209]; [64497439; 10125822]; [24950998; 81368282]; [12189828; 91210888]; [52425527; 55825076]; [83995040; 2457443]; [38713604; 47426558]; [90577572; 15039184]; [86963570; 19348356]; [21497052; 50758693]; [58628712; 50661594]; [80174184; 95331143]; [86034600; 68533879]; [89002681; 66407159]; [30163699; 85556820]; [15873388; 69542105]; [96940946; 26765034]; [88761033; 2739786]; [1748663; 93310177]; [61241395; 9101898]; [97674663; 9018453]; [49502595; 24709246]; [7591673; 23318961]; [14961967; 94986375]; [6743409; 71585564]; [17223190; 41230876]; [47534935; 51355823]; [18282701; 93610907]; [57257706; 43475186]; [92008842; 1112953]; [82085536; 42298441]; [89750283; 90701224]; [50274466; 92532573]; [82781593; 78666327]; [61827437; 95877197]; [39794116; 73911581]; [93595594; 75396748]; [95411269; 11532333]; [56491723; 54095775]; [47928019; 15466909]; [42916706; 89057219]; [35882811; 8746245]; [31806537; 13707080]; [80200493; 72418694]; [57772748; 45542817]; [81937868; 79493854]; [92155388; 11310129]; [35771898; 9482516]; [43346933; 24503894]; [68632234; 29092003]; [77953661; 8147596]; [22235246; 1858070]; [46800620; 11482248]; [64980368; 51047305]; [37615679; 27859561]; [54441351; 64985769]; [25235788; 15457920]; [90783375; 82860804]; [53688344; 66448955]; [26214360; 20469725]; [64727659; 85867534]; [77994116; 30601093]; [40417040; 78605406]; [61391409; 24955619]; [58991684; 7051521]; [46148549; 84733026]; [51951688; 68452270]; [25020342; 90236033]; [25700366; 92364909]; [50800591; 88824458]; [10406279; 22687017]; [45530178; 96377530]; [67408313; 1916860]; [14114355; 51825283]; [13017220; 62332499]; [19395718; 3523819]; [55249130; 71633002]; [6103642; 9156250]; [99254515; 86617387]; [87746666; 51691054]; [13311192; 52807415]; [56745350; 43875947]; [11620278; 45985256]; [96674359; 18693409]; [49061850; 72797633]; [35136460; 91849696]; [80684659; 21348730]; [5117463; 47497243]; [39628294; 31516678]; [65611825; 3803389]; [56648134; 21690152]; [109797; 92813859]; [91252949; 404886]; [11800216; 1169693]; [26550061; 50389263]; [82553036; 23291186]; [49326164; 35363278]; [70156007; 25710785]; [24004270; 45814422]; [98592969; 66642247]; [95738089; 51393819]; [86944887; 98363672]; [31568404; 35475967]; [66865245; 54928371]; [82271298; 76153215]; [76933105; 65812488]; [92448479; 72310479]; [2878849; 79692782]; [50739484; 91452551]; [61888577; 15929098]; [81673453; 42314381]; [95340934; 66339078]; [57782696; 23001404]; [45653619; 99504162]; [95326399; 18180623]; [69481441; 99533238]; [42040009; 67458318]; [29340451; 55216647]; [13496082; 3215226]; [78541328; 78958309]; [77295299; 96258578]; [38578472; 84913693]; [80565472; 87992443]; [78585059; 36473165]; [8807467; 21327330]; [6417537; 24108661]; [86796885; 41770392]; [8662477; 13491306]; [49154347; 11053637]; [25732401; 99865440]; [54503182; 69378578]; [79173571; 66012292]; [40126341; 92812777]; [79980671; 48802904]; [95039295; 32532304]; [89308648; 76960310]; [65218665; 83698743]; [81557607; 28419462]; [86435631; 62769359]; [12550464; 85703323]; [34180101; 63940427]; [38713027; 34635142]; [21544222; 67197057]; [50754789; 15263662]; [78862984; 77134663]; [90606532; 34242252]; [56283919; 83476455]; [67161408; 72028755]; [46147611; 37238494]; [20560974; 45655612]; [71719359; 62839924]; [31893032; 722541]; [16309717; 75750175]; [66528739; 5408679]; [25711378; 10831848]; [88744557; 13738513]; [60061896; 51367423]; [63729588; 94370759]; [98515779; 79718840]; [61472234; 63147832]; [93726686; 52692991]; [84238066; 26296611]; [13396354; 93415573]; [29000457; 96950045]; [70089616; 94358610]; [48028726; 1701140]; [25355026; 41661456]; [95370164; 15908877]; [48291335; 98492962]; [82579684; 27320282]; [89006786; 36108382]; [33264336; 36918914]; [77703348; 59243288]; [34122028; 79916647]; [41922742; 71950250]; [69885122; 29619673]; [93270494; 59559148]; [61857431; 56094470]; [69074004; 3208554]; [42052815; 76964013]; [11504251; 95610465]; [71492752; 32951484]; [32146391; 80098560]; [57989908; 32473047]; [40086023; 24966356]; [17488707; 64599788]; [78799731; 60822955]; [53113748; 68603988]; [65804084; 98611524]; [74917181; 61987479]; [26822474; 57517836]; [41236984; 81899098]; [59125600; 50915224]; [36986352; 9337206]; [56178129; 9793662]; [69389179; 73628482]; [4240447; 57525398]; [43137842; 98349615]; [23099498; 36489036]; [92926448; 21584171]; [27894646; 52744144]; [60883953; 45281426]; [249779; 18797291]; [49746550; 45782785]; [73140804; 18324517]; [86544260; 32438700]; [8800987; 91178737]; [77876423; 1325273]; [5410795; 74138925]; [97227704; 94063444]; [54234633; 84883782]; [36455087; 77285724]; [79865835; 52843682]; [54214385; 2690026]; [78725947; 11722391]; [30162209; 11538856]; [72556088; 29387368]; [24806945; 45518432]; [17360484; 97371935]; [84902525; 54844745]; [38967085; 64112563]; [96777596; 29912281]; [83574537; 57199023]; [10974447; 17296603]; [28466020; 11611414]; [84065214; 66443841]; [6219848; 41889293]; [27611470; 10904709]; [4050138; 70393257]; [36751483; 52866099]; [1441483; 77059502]; [80622945; 36422098]; [45968936; 13078087]; [58842586; 30083631]; [46000143; 71120267]; [92420325; 14095442]; [36138119; 92228788]; [9506235; 28475488]; [24180758; 82063034]; [25760742; 94687189]; [75696997; 57431384]; [77311989; 178572]; [17726296; 77978358]; [58864982; 75400552]; [1769773; 94449517]; [67156490; 18360966]; [17439749; 71246803]; [93149738; 6201565]; [56668574; 47627125]; [12453273; 15773452]; [57408748; 20754658]; [91815682; 9277427]; [13639783; 80358654]; [80252584; 13137244]; [39313571; 94548323]; [93810668; 66710992]; [27554065; 47158489]; [56155722; 40039159]; [30457237; 54623451]; [41232684; 99820071]; [61870595; 80837787]; [51004482; 87960271]; [83279140; 53091891]; [39297584; 48158705]; [98203193; 51916886]; [17130435; 95314168]; [1770055; 52219207]; [46083061; 67166802]; [9168995; 33008647]; [56920571; 85665405]; [92166781; 64002058]; [17234049; 62034059]; [41986839; 50413872]; [14468866; 55150285]; [78168075; 78375051]; [24034112; 51373875]; [41347017; 30650876]; [1458510; 39978274]; [65222070; 35813641]; [84929709; 61324569]; [47568922; 54289043]; [37657026; 65833472]; [76809359; 19277560]; [29221199; 39617888]; [63046120; 46696591]; [49954763; 79044840]; [25593690; 26408433]; [79086874; 80769613]; [14103625; 85724242]; [27121377; 2024060]; [20600922; 27788136]; [67145071; 13186787]; [69992836; 19313762]; [6720448; 31976739]; [48634132; 71649024]; [30561786; 80252593]; [53157535; 53676186]; [74577554; 79106600]; [49664305; 70325933]; [60217219; 4461297]; [28210688; 36805039]; [82097037; 78127690]; [13935965; 29325530]; [20954676; 91142958]; [41625397; 51841225]; [28808700; 23010430]; [46671808; 85781010]; [6569940; 2674245]; [18235040; 79291733]; [65974180; 33838897]; [68538399; 30863703]; [55829136; 88676910]; [71924690; 31952511]; [15139001; 61475449]; [21094270; 68922298]; [40137875; 2460251]; [45383103; 1906342]; [36354509; 93821177]; [70995134; 13021512]; [21863371; 63879715]; [89176058; 9001582]; [47700857; 66803254]; [79036748; 5985064]; [36729560; 53356717]; [18333054; 11689501]; [88367717; 41700287]; [33742317; 23157815]; [79580642; 4838996]; [23489084; 1649934]; [69479634; 29457208]; [47012902; 89824230]; [88067182; 88027471]; [67517592; 30665068]; [69467796; 39974922]; [98965353; 97006424]; [73517811; 68766078]; [30759081; 37899313]; [2810948; 43626314]; [80433385; 37263006]; [10012994; 93771281]; [63140498; 20723203]; [42677635; 93394746]; [58460147; 45484559]; [54408990; 93018958]; [17765838; 47897952]; [96812387; 65469183]; [8660055; 18725771]; [12966287; 66770087]; [70904182; 87081153]; [52472418; 65182148]; [54990355; 57232407]; [48621093; 49439573]; [78210849; 65524431]; [33944066; 40673646]; [42556116; 9816674]; [87150032; 44687359]; [61854998; 64186380]; [31853023; 85835600]; [46154721; 48202239]; [19741526; 96304314]; [3112847; 14517315]; [98964171; 8897537]; [80302896; 94724640]; [97532716; 87102653]; [64207072; 55286396]; [30905500; 6076780]; [96438572; 3275709]; [26744882; 88354304]; [67879793; 35152595]; [83517781; 20226590]; [98706331; 70059216]; [27503164; 39168012]; [51751071; 3578609]; [97013299; 12980674]; [76456778; 19142304]; [42136265; 78385252]; [12076191; 75419098]; [72925349; 35720363]; [94256003; 86131851]; [32120735; 75217657]; [60319293; 69179390]; [85090312; 46023244]; [9204862; 58293318]; [73549935; 15767887]; [61363065; 87342122]; [193331; 93211833]; [6895180; 31922676]; [39367648; 11007675]; [35182634; 43972104]; [10037121; 46320028]; [42282814; 1778696]; [87698592; 97851467]; [45190256; 31819138]; [92431785; 12393921]; [49770599; 51753219]; [12321870; 23648024]; [64820504; 20932640]; [74155875; 11836785]; [26757828; 76973289]; [14573386; 15689716]; [92178750; 64739442]; [61097411; 38674639]; [14276790; 85488742]; [4358144; 58153200]; [605907; 27618805]; [50237228; 96512282]; [42137646; 97274004]; [78671020; 57898127]; [25564181; 98917754]; [98911427; 53669505]; [82494009; 71377275]; [93172912; 37723649]; [83727542; 17614426]; [67419140; 92286388]; [62756934; 14428925]; [75414599; 33234808]; [8689671; 21855739]; [84749973; 59410512]; [87268169; 35196895]; [17870926; 88693868]; [56570381; 28407788]; [56421045; 63070588]; [1936262; 54187024]; [39392341; 56790806]; [93121526; 63710002]; [65093499; 73973603]; [84663175; 28929279]; [86347574; 72450630]; [1771288; 17333274]; [10034835; 72609685]; [73336115; 80237446]; [40431151; 34850028]; [17144496; 99730043]; [68677319; 16956103]; [59596774; 88949788]; [40265026; 76390033]; [25043078; 51005989]; [41516442; 60823686]; [12663717; 8056941]; [17261355; 64759272]; [5655481; 20252516]; [92194104; 21918290]; [38881210; 46054621]; [85876609; 47742005]; [82667062; 99524377]; [25362283; 9531791]; [40715100; 50680408]; [91097928; 87716506]; [94511013; 92203238]; [45176617; 44521517]; [96621658; 10105549]; [46812477; 5012254]; [31296420; 42160186]; [29209420; 2808315]; [10041655; 94058733]; [61563548; 61050279]; [77819552; 79968310]; [70133490; 68620154]; [56569322; 35090275]; [87485831; 43610531]; [6384573; 64601131]; [85017147; 92050997]; [10480088; 67748561]; [51677993; 49241376]; [33184368; 83132579]; [45879676; 52964121]; [9600768; 26898390]; [10276765; 5492271]; [20653704; 92114218]; [87097558; 39686395]; [53614605; 80835876]; [73823846; 49640606]; [28953270; 75359658]; [1421841; 41018606]; [77992688; 3810922]; [57991960; 64078964]; [29332544; 6143565]; [67495927; 16406233]; [86106352; 54137536]; [77643378; 35187051]; [42410396; 67257862]; [91099869; 16284467]; [37587114; 71459639]; [52819447; 16953572]; [56507066; 38597081]; [59564453; 76749439]; [3137447; 27349968]; [79122362; 85031729]; [6854450; 7604101]; [71166254; 22617360]; [49868416; 75251778]; [70796035; 96053239]; [31035395; 55377757]; [97365570; 93531058]; [91170582; 1909001]; [33223506; 37426559]; [76414468; 66918539]; [82644165; 8992471]; [8719654; 81534218]; [14199727; 69834702]; [48291591; 89412202]; [35040018; 72407128]; [19902420; 70145739]; [20589291; 89901640]; [10443602; 20694733]; [35414492; 36456111]; [41135291; 89491825]; [324566; 51623298]; [65485847; 78558867]; [19287592; 47424058]; [98821154; 73977822]; [5310021; 97074730]; [10831755; 31926716]; [55947871; 77756875]; [92773464; 12411087]; [31906029; 45318775]; [14093589; 23178081]; [1972455; 70239138]; [73908900; 94399460]; [94391777; 72964255]; [9091375; 57518140]; [22860498; 5451016]; [75170712; 28769604]; [64330184; 39942985]; [82255538; 65231056]; [99014329; 86935662]; [11000464; 1535047]; [70541840; 58139646]; [30645023; 29823955]; [37451169; 32552881]; [38696398; 50183426]; [36030840; 33584243]; [30026188; 51954055]; [93404769; 12321188]; [4363889; 30292205]; [92434730; 58063571]; [93067739; 89604924]; [91449254; 51635535]; [16199989; 83355607]; [98687428; 86293622]; [39396490; 65933389]; [6521402; 92453025]; [13421784; 97059725]; [22475358; 14414491]; [26425567; 47963863]; [31386148; 70833282]; [7611156; 73326047]; [28845162; 15738230]; [30597474; 66796641]; [18095439; 7207925]; [73548904; 95220082]; [58693316; 9828728]; [6245649; 56927149]; [98093571; 64098048]; [80707550; 64244696]; [15019586; 32956396]; [89740179; 9268168]; [41574064; 56963614]; [12899714; 99255732]; [91474069; 9056090]; [49925561; 95206055]; [2509953; 98158945]; [93260168; 24430483]; [90282526; 13010232]; [38431240; 18927107]; [52511978; 48556921]; [28337351; 32980546]; [54129065; 97390922]; [28165360; 32507746]; [59533593; 11898501]; [4977515; 34864448]; [7337792; 9539435]; [76665597; 84306563]; [27335237; 50153298]; [57493074; 66079552]; [3748257; 31388642]; [87981354; 64721309]; [18554264; 72853702]; [6890671; 68532217]; [41424118; 20925722]; [64749749; 89708542]; [70920893; 11806860]; [905535; 65327430]; [84318808; 53660293]; [43322539; 32593081]; [86037800; 29573284]; [56514360; 57887029]; [69134260; 96141112]; [44259617; 71159068]; [6301885; 85358271]; [62233584; 33262650]; [21043504; 45354909]; [10043541; 82021691]; [53524914; 99779984]; [29307342; 80561766]; [67881663; 34844845]; [73769020; 85161062]; [81323404; 75707945]; [10027440; 67018362]; [1408988; 20748944]; [37459407; 74093032]; [21486308; 70063138]; [58468624; 83927870]; [93481871; 46788725]; [32228433; 32979933]; [10003289; 47748282]; [58825783; 47730059]; [88216827; 94221730]; [47494458; 52403254]; [32617517; 31824877]; [20302684; 64443243]; [17091536; 25927066]; [25970635; 30222580]; [44675769; 45142209]; [59063897; 97455666]; [98747137; 13942784]; [42517214; 27885690]; [49097708; 77468185]; [44581671; 78353392]; [75225813; 82905621]; [77889182; 56657427]; [9832048; 83381152]; [48758594; 62300051]; [56039324; 54995960]; [3662604; 55327987]; [36812543; 70907892]; [97083039; 15927757]; [88392858; 51605431]; [86419857; 21265522]; [8027820; 42416242]; [67063136; 71171747]; [41795452; 51987953]; [67241403; 58278905]; [10678856; 53407212]; [20420882; 37446677]; [72251738; 40531887]; [54116260; 56479370]; [16967069; 68995174]; [53866371; 44794806]; [34509000; 21352634]; [60031140; 27943114]; [29125159; 22487305]; [33497868; 26401704]; [5379918; 5979328]; [57605234; 45951060]; [80989453; 77536078]; [14992424; 95393743]; [95271439; 52146172]; [95694752; 18314087]; [20983894; 46825203]; [83026663; 16197520]; [57902192; 41544388]; [77975313; 46712103]; [92159521; 91770368]; [32337986; 10875722]; [49647104; 4912790]; [95583606; 62518401]; [83852641; 82916187]; [51755445; 11324030]; [25410777; 34595859]; [32613455; 83963200]; [44602985; 99676759]; [23792667; 11596048]; [81456408; 11158730]; [51394562; 11051877]; [27139219; 79373879]; [41762260; 26426221]; [79592252; 48373152]; [70510585; 82976694]; [79473209; 44734646]; [98572659; 29711077]; [92102285; 94462379]; [69472936; 14360430]; [50298188; 64530105]; [32939923; 30974]; [87820576; 60718284]; [64231923; 57729370]; [52484980; 41516439]; [88860809; 82910145]; [55187696; 9331947]; [18582728; 17721086]; [1767252; 56198451]; [17295457; 68004551]; [59540672; 75267331]; [73369421; 65676560]; [38618003; 72564238]; [15011737; 12650663]; [15633301; 65394049]; [53157680; 64427249]; [8910544; 19920614]; [18132120; 51042273]; [24458158; 91655646]; [61480899; 71884522]; [59849706; 69458013]; [85696547; 88025932]; [32197023; 48453740]; [88804831; 69238177]; [54321200; 42260328]; [10175958; 60175175]; [85438982; 15376563]; [50981524; 3589493]; [17780354; 9545608]; [18154310; 66761750]; [98832734; 34929970]; [46106578; 38604562]; [5438202; 67275976]; [31267591; 83491634]; [59741800; 92117130]; [46976153; 70057747]; [79341082; 56307494]; [3868050; 7097615]; [79620995; 38590171]; [73527520; 92695476]; [45873749; 20893181]; [43623213; 96867450]; [51716427; 33188232]; [43726931; 11486303]; [99657994; 17207285]; [48029811; 58093163]; [94431290; 91728077]; [73456990; 39207100]; [91820726; 80873003]; [24767320; 71518203]; [64727167; 55532259]; [95431109; 27713264]; [19388721; 19250777]; [47073174; 23187243]; [28223091; 89229846]; [45388146; 6275436]; [52619123; 30460952]; [69441267; 51587610]; [90449586; 79187039]; [59603764; 27589035]; [71141125; 37825586]; [48205023; 47861817]; [7188373; 90805442]; [73523651; 58374451]; [74562888; 57586049]; [50285062; 45722058]; [74909624; 22756497]; [57879114; 49997164]; [28676041; 85830845]; [70431177; 13813788]; [37616233; 77388823]; [27052078; 93073610]; [33803868; 70984037]; [39815609; 41039976]; [25695519; 34227297]; [93337381; 54233673]; [27382639; 22660976]; [15790212; 2977144]; [9931019; 72517407]; [33869827; 44568476]; [46460464; 6956337]; [56353571; 37877277]; [66347408; 96117784]; [17312275; 4532000]; [98509199; 32662291]; [87021052; 10680176]; [54671149; 93857520]; [35791195; 36325201]; [11540880; 51443157]; [50596332; 72177359]; [9290042; 37176472]; [38829510; 45217058]; [70311669; 30080240]; [64125943; 41874393]; [42935345; 29635549]; [74276449; 80557013]; [69125935; 3593315]; [8516728; 43784928]; [69541740; 29662928]; [35818591; 39899628]; [34599357; 28021359]; [25835659; 37141544]; [49830203; 43521454]; [2282907; 48021924]; [94571164; 70930437]; [53334086; 11498803]; [26141834; 62519411]; [41772749; 71426959]; [9715694; 6914273]; [65214846; 42265266]; [46156394; 64284085]; [1217516; 18896476]; [14868729; 23925070]; [72688234; 34061493]; [44580151; 64068947]; [13439551; 6878103]; [44916886; 9915533]; [48079048; 50473752]; [58830247; 98738423]; [28219018; 31100520]; [37731126; 28910977]; [3767980; 55443849]; [76348705; 32915158]; [34550190; 55785213]; [47953356; 42457557]; [82249606; 87927385]; [3472325; 45144462]; [1568364; 98233747]; [7962458; 51128271]; [26797571; 66776130]; [99891145; 29761915]; [51214235; 17064829]; [30748473; 17152922]; [52700035; 70744488]; [73625660; 22829822]; [32626125; 77063241]; [46139413; 41756746]; [13676210; 46219084]; [46286798; 97762157]; [38394287; 45279590]; [39464515; 59443785]; [43784172; 94968358]; [3780027; 14807033]; [54395749; 92408213]; [84272529; 13305961]; [49785165; 35994058]; [29567311; 66440003]; [73203365; 39993757]; [23671823; 93290354]; [77625467; 17416592]; [95360146; 35314974]; [84803766; 73568486]; [6284546; 80352918]; [63024770; 58199429]; [85194128; 95449030]; [35395191; 72963457]; [76740418; 66023654]; [84928521; 46233798]; [63046663; 4800217]; [93096038; 98158636]; [44510891; 77969059]; [73695049; 66426920]; [61511920; 69997318]; [59479275; 57877091]; [27490835; 35766186]; [64711543; 87614360]; [14517175; 90090985]; [9376117; 85339440]; [14865416; 24844273]; [82087650; 1040764]; [86501430; 57977296]; [53994978; 42429578]; [49750341; 59521015]; [15106024; 12154864]; [26903534; 48476507]; [58705425; 33204376]; [67704352; 70877407]; [21130646; 60770294]; [91424219; 85847790]; [99007520; 90600102]; [65302616; 21481063]; [83982920; 84720091]; [18948259; 7725408]; [30273148; 93498032]; [19510569; 56570744]; [55178054; 44127871]; [89551940; 82005364]; [81327492; 13830205]; [35013023; 41198861]; [79242750; 84492204]; [38289649; 25128067]; [13757307; 98763612]; [62911304; 14855868]; [3764108; 93183992]; [91305788; 92732176]; [10790963; 77674555]; [43481664; 40363233]; [48488600; 56342165]; [52927673; 58803563]; [58097931; 57866930]; [72083513; 92706514]; [43905789; 70362374]; [91835553; 87219578]; [19606302; 88164753]; [89486877; 11492019]; [35797561; 46010308]; [15943526; 43369665]; [37857192; 64261368]; [80218233; 21986629]; [21477450; 5313111]; [68604363; 66743205]; [6719999; 3325068]; [34554406; 16627080]; [72212156; 45664364]; [90936054; 73130756]; [84855670; 10175336]; [21464212; 61669354]; [21006762; 23601632]; [22121404; 61956969]; [16610232; 89733001]; [32883243; 18478959]; [71886947; 83766988]; [16555743; 56404433]; [32574171; 67166541]; [17984212; 75644348]; [68397483; 22074040]; [55588986; 16865005]; [47005685; 75666263]; [73360274; 36356524]; [85082391; 31880451]; [70668302; 18925045]; [21297248; 49449587]; [53756691; 41491142]; [13840495; 95045016]; [27308166; 73322885]; [77470105; 93803349]; [97026150; 48389285]; [54522091; 31999324]; [68451437; 5450132]; [29025945; 42120412]; [10244675; 53069351]; [48894931; 9278898]; [83592634; 48801426]; [59358119; 4908052]; [41953013; 13440150]; [68263951; 91285353]; [3220170; 74542304]; [96431778; 69552982]; [66080266; 10180853]; [946807; 16611910]; [90482867; 42378192]; [28801227; 63895741]; [3026022; 72390427]; [65700295; 440183]; [15596937; 77089992]; [60342410; 82364789]; [96238709; 87938215]; [63986787; 8040207]; [22516092; 45933417]; [55110158; 39225333]; [63064508; 21719338]; [32027233; 2986734]; [38050221; 19759759]; [72679043; 5950799]; [44300146; 56943999]; [41223734; 60076187]; [68344532; 1311677]; [72838600; 39176591]; [79006525; 15199352]; [69100918; 76389868]; [23739649; 98553424]; [6341402; 6136747]; [11095811; 2382567]; [98889085; 97101499]; [52504568; 98720369]; [41835715; 51028813]; [26162936; 15871926]; [82993503; 32906924]; [75150388; 62331956]; [35611828; 40937905]; [28379591; 35738713]; [66234290; 86205536]; [5445718; 14731715]; [29073735; 92817169]; [46280838; 25307575]; [29158974; 77087881]; [96994736; 46786797]; [92348107; 10100925]; [61892313; 4994912]; [82870395; 94741468]; [68330584; 84835702]; [96881793; 62233605]; [48050627; 89809923]; [22462434; 51234448]; [91058732; 12390616]; [26014156; 89284502]; [31555970; 1726382]; [96798237; 34574724]; [41731629; 48963972]; [82519223; 10452936]; [34060692; 85391051]; [61897363; 59722332]; [5018210; 34335095]; [7609057; 75767169]; [88623974; 77968646]; [91386800; 92074354]; [50741263; 28104647]; [18558471; 37800705]; [15158346; 17215015]; [97969477; 97431511]; [43316735; 5301297]; [42297158; 82889659]; [75242796; 99312945]; [50808917; 36279747]; [98234006; 48306346]; [81180812; 64873315]; [98028975; 16705769]; [23385781; 73471062]; [64789000; 60464827]; [23315838; 68283615]; [73645187; 95247612]; [4963075; 69348955]; [94838126; 3522914]; [29608510; 24825139]; [39861673; 98165656]; [30506678; 6327064]; [4061051; 77825226]; [28489574; 75334688]; [81610751; 14219635]; [96323022; 20745300]; [19315666; 78663000]; [4653237; 25154076]; [67365231; 31304013]; [94145545; 8900531]; [67205925; 83803304]; [57545988; 63288031]; [57057451; 79524539]; [72246062; 72177637]; [79241318; 12277199]; [74500081; 90780223]; [72925616; 81729763]; [8681884; 70400662]; [47858218; 5507493]; [31102957; 59360741]; [54193029; 17524557]; [14861665; 13154416]; [19238010; 71957727]; [81861885; 81601996]; [27514026; 60705449]; [90755389; 59146763]; [53547209; 70656754]; [79989367; 2070508]; [70425205; 23959657]; [60269512; 40127548]; [28546343; 51723152]; [2647765; 19717137]; [89720892; 89344136]; [23813405; 66859995]; [34306472; 16694671]; [85072478; 24440112]; [17856594; 38664110]; [28490637; 76951516]; [4705768; 13270011]; [91444593; 45520981]; [99983583; 29648485]; [48595571; 2936293]; [79583250; 65930045]; [7772920; 42840147]; [4473588; 55252897]; [95091930; 75724712]; [38595997; 19964545]; [36009982; 28740647]; [16200686; 43593054]; [30845301; 98045876]; [30083288; 77077494]; [22437192; 57616918]; [27997193; 29016626]; [35010846; 50927897]; [9949300; 77078202]; [16052402; 57463702]; [89234021; 1482518]; [19320455; 84444045]; [58118904; 83715385]; [20306921; 53326047]; [6792176; 8052483]; [72227033; 18626880]; [17494634; 22443179]; [14618473; 66515690]; [51569827; 77617958]; [97550385; 49239696]; [28238743; 50258983]; [45744575; 83176835]; [98513273; 20803621]; [6247346; 54789911]; [2425246; 38033779]; [88224489; 85215853]; [7398959; 39849846]; [76860918; 65034516]; [11505463; 90787876]; [50843005; 87369046]; [36103709; 16209471]; [95422412; 19755913]; [83177321; 45400669]; [384316; 17090675]; [51328071; 5345346]; [24023493; 58975284]; [313057; 96110481]; [39150580; 78803628]; [51068415; 36220282]; [68511410; 97076353]; [74899693; 61846249]; [15135711; 68640399]; [3803861; 37738676]; [76563266; 50122044]; [74346774; 14460654]; [76336922; 48155939]; [47085075; 49107591]; [56215029; 20805348]; [22804271; 48788973]; [82766877; 90649311]; [31115310; 56155551]; [51444114; 38354341]; [66148168; 3876073]; [7399454; 43078588]; [89342088; 15301384]; [66022059; 52653690]; [27649933; 71997787]; [59649723; 23236340]; [95266055; 49662353]; [52600821; 90075839]; [48445671; 92113831]; [43157146; 68010234]; [41851658; 21068606]; [65131793; 6055140]; [84284363; 22222037]; [4701937; 7302883]; [50655021; 93077182]; [54085478; 13774191]; [83026007; 82172556]; [62511338; 84852139]; [24287280; 78615658]; [80808160; 5937587]; [18694206; 90494030]; [34055416; 3458587]; [31295006; 45288019]; [45191492; 65524240]; [36069112; 6245677]; [50484390; 1821069]; [33554105; 59386173]; [43092743; 19507509]; [72178735; 96208090]; [9852246; 6392757]; [14711814; 73117929]; [80537126; 54459801]; [49795910; 14799798]; [59305080; 49755781]; [66951499; 65422572]; [41574603; 37946850]; [90768534; 50593618]; [46843856; 70600782]; [36408885; 25379376]; [58461867; 13441866]; [57991345; 88138380]; [66592751; 41568636]; [80932169; 91987171]; [86830681; 41858557]; [39537080; 314738]; [94945748; 1122846]; [43047553; 87139590]; [49367589; 69597929]; [6592103; 12903539]; [77413243; 20234320]; [56252298; 70700776]; [82705582; 86074064]; [13731558; 40413334]; [15700064; 67521052]; [68115718; 60289947]; [83918440; 66123292]; [89411272; 554423]; [98216804; 99530071]; [81223050; 51755843]; [49535182; 85581494]; [37998430; 25501412]; [19345983; 79501035]; [23528537; 57923237]; [8463985; 58778088]; [97140393; 14834707]; [30758837; 82712376]; [26865851; 80082380]; [48554276; 44001426]; [73260853; 78280885]; [17338926; 33898871]; [22099496; 60252210]; [28787383; 77030126]; [48171351; 68208992]; [88373416; 95792561]; [3927695; 76322348]; [94591550; 43195463]; [68026808; 63785470]; [88846904; 65091116]; [4259944; 11439072]; [76305925; 49486920]; [89476957; 88538858]; [9497662; 44616339]; [56495078; 51141215]; [14765200; 58247442]; [60352490; 16700917]; [6616106; 48117575]; [84677748; 78586108]; [85352967; 93247755]; [41460668; 27382765]; [87934264; 4439229]; [44799792; 23369731]; [65272157; 72706477]; [59079196; 1348167]; [30468222; 51677063]; [67255742; 85200914]; [94162843; 60117519]; [4308629; 31925969]; [43383271; 61375555]; [25340630; 57061356]; [72980895; 4952148]; [74659520; 57113527]; [51466563; 44758769]; [51507065; 90805411]; [32991874; 10015831]; [42668092; 8825888]; [92478536; 46482132]; [35059645; 14548925]; [17862089; 30757944]; [71769853; 36065308]; [58807989; 70296615]; [31520158; 15862583]; [16224959; 32976686]; [24194547; 91533120]; [49875009; 84563829]; [70326181; 8130148]; [45032007; 70293808]; [33915469; 55998426]; [94132696; 30682006]; [23033181; 2458517]; [44147101; 18400332]; [8997382; 39901039]; [67732033; 22195854]; [70133630; 28788864]; [7461931; 913385]; [61663608; 2975873]; [44097782; 55694987]; [8763664; 80021625]; [70930432; 20513126]; [38072109; 70037748]; [32514847; 37248859]; [85638986; 42300018]; [41775942; 65347468]; [39360411; 69523075]; [53723874; 55693236]; [92012637; 40583447]; [18701573; 83996351]; [55537689; 98413387]; [75060090; 91632181]; [85405275; 45777415]; [36922343; 71223028]; [88503967; 18537314]; [25231646; 28356387]; [20577679; 3745839]; [25260343; 37796592]; [45594967; 88537425]; [70402849; 42739182]; [39864974; 56297617]; [51809949; 67414622]; [18943071; 65080127]; [79195943; 90025235]; [43023045; 90055035]; [10729804; 61460322]; [11256779; 83402703]; [76241784; 80650734]; [11463849; 20552116]; [4149977; 5743480]; [1520025; 54540479]; [9218484; 38311779]; [73111600; 5158273]; [99334251; 66841141]; [59733412; 58362436]; [15734497; 88291013]; [47214793; 8005570]; [84358540; 5908281]; [49912755; 7985928]; [35532469; 12458844]; [29569465; 31051105]; [24574107; 80129654]; [52621527; 35344476]; [46186477; 69672552]; [28995976; 16009697]; [75970639; 64779989]; [59422577; 33175279]; [55626441; 52601981]; [76000437; 38812786]; [44349127; 53632366]; [42707619; 27364181]; [88732751; 71580672]; [13596751; 20317977]; [61786347; 70108273]; [12138647; 30665407]; [47762584; 80219357]; [6387135; 75402410]; [74948549; 46183669]; [72388742; 57066067]; [33167934; 37167037]; [65809907; 85366906]; [6146213; 65284833]; [42599110; 4904047]; [52707183; 53289052]; [64026106; 98264148]; [5262628; 17229704]; [70031243; 48164505]; [44727533; 94903545]; [46353096; 57401361]; [72886222; 62463204]; [11989820; 89474960]; [79612725; 54574002]; [75654381; 22206735]; [86411029; 94121468]; [92808618; 98731568]; [73450779; 13637263]; [51385456; 95605662]; [34015179; 50929958]; [13035485; 83633996]; [2278209; 75752306]; [20164006; 33511000]; [92872757; 81840332]; [89672506; 3811200]; [81297891; 71981857]; [45673517; 13160610]; [36750534; 70018635]; [71356303; 11740720]; [27193333; 39002823]; [87490604; 67059974]; [54877666; 36199038]; [80704892; 67676905]; [68408779; 55385064]; [78412326; 32641946]; [70260491; 33489712]; [44483872; 71777080]; [50511868; 43401592]; [2788156; 434263]; [31530843; 39086819]; [86833509; 81464958]; [64819793; 36634234]; [49003115; 77338898]; [82399216; 9314122]; [39298939; 28020752]; [1069339; 2413131]; [44530507; 72848562]; [17125128; 60369004]; [80218044; 26305957]; [73398479; 19881397]; [53678154; 96418306]; [18877798; 68415447]; [54373794; 26490832]; [7225808; 21563662]; [16948247; 69477124]; [16814436; 9984416]; [61173360; 66734609]; [97785493; 66599619]; [29800469; 12275354]; [14621189; 92213673]; [89246335; 95407660]; [53393020; 66475052]; [95339410; 29950443]; [54578612; 66665157]; [24052789; 92581234]; [88374931; 57330817]; [31510357; 45636046]; [97247008; 85452127]; [46291418; 90201539]; [20403247; 68855649]; [63259439; 28962891]; [15061501; 98596911]; [36971171; 63512569]; [97088668; 18379753]; [44016392; 76049903]; [45417749; 15720782]; [344550; 57282073]; [91788195; 8779950]; [35622917; 30712787]; [4764000; 44041244]; [53872422; 22526089]; [19837350; 73769094]; [36036461; 34860175]; [7366809; 70949223]; [41462463; 35971437]; [86683124; 19676093]; [15803734; 46934991]; [1385100; 92810178]; [34463023; 53305284]; [68513081; 14374672]; [60640960; 35589463]; [17488707; 27700255]; [78544280; 13509674]; [29068283; 64186411]; [37494538; 66478590]; [16634915; 74024045]; [98194799; 51746913]; [62467100; 31698989]; [7715057; 27683331]; [18132571; 20549318]; [65734705; 76236911]; [21123710; 15367337]; [93680574; 72827347]; [7951959; 73287371]; [81499950; 10510747]; [63935345; 23326150]; [95899509; 13076782]; [41748857; 49082593]; [21944787; 64439838]; [86931833; 24940392]; [37830254; 14486076]; [53792601; 57602742]; [64074683; 51539145]; [55019678; 73387066]; [14040246; 20018694]; [53200145; 48028637]; [6243798; 77325536]; [60425974; 62087099]; [6745887; 26410623]; [87796737; 33683881]; [16451996; 440496]; [33527303; 52348]; [96666893; 80478558]; [74549797; 63699769]; [15123852; 59902071]; [95564405; 62094509]; [59535169; 40883882]; [86687105; 75882430]; [95373706; 5821170]; [77860056; 63902623]; [62348725; 70764364]; [16506157; 22798451]; [66825817; 52091730]; [15534104; 78128736]; [78602704; 61262979]; [69356326; 58555346]; [18739734; 50664180]; [22173972; 76230766]; [36959343; 4313707]; [21396743; 15008179]; [15283034; 83237223]; [94142647; 19634256]; [99145080; 17784733]; [73567351; 88710216]; [94109105; 8695056]; [44996112; 32558428]; [78879846; 41170125]; [4206547; 9218435]; [13691845; 41627014]; [71342129; 41180699]; [8300796; 13605281]; [38263223; 44160795]; [9331685; 44796367]; [75784314; 47415119]; [95069275; 87308434]; [74960499; 97060005]; [61636431; 44178544]; [95262517; 8254181]; [51229386; 98512107]; [24794962; 81023464]; [21153924; 11837036]; [87230776; 66118458]; [39002217; 38058941]; [82755529; 58582158]; [40962805; 11047488]; [49252530; 14010928]; [29809997; 90128069]; [81766820; 88456688]; [51672349; 84242879]; [6160735; 73386524]; [67030690; 40730042]; [1905333; 96582873]; [19202036; 90350557]; [49152865; 90873285]; [61124160; 49517246]; [16754194; 22785628]; [49466232; 54001236]; [78546593; 6694160]; [58478837; 25229343]; [26131539; 97978348]; [8493460; 58782304]; [87358812; 1591375]; [30777210; 14004814]; [80420601; 53219272]; [75958808; 23406000]; [28413628; 42793456]; [98518600; 92317428]; [81425638; 28981468]; [97338840; 3920366]; [85228336; 17468930]; [8693502; 5309560]; [91706065; 34126684]; [74957491; 22277200]; [42426334; 66039045]; [31859196; 69471756]; [42922934; 47087469]; [83973248; 13180437]; [45736130; 78331614]; [70706004; 52697598]; [39247510; 96439045]; [42559746; 2018025]; [56335677; 59485459]; [84568070; 22862241]; [41075529; 67595758]; [94259609; 23241762]; [23208693; 39071457]; [85240800; 18586632]; [42200623; 60108231]; [59313379; 6639596]; [59892073; 81641156]; [46378318; 83873987]; [46218941; 8201032]; [50409924; 15212559]; [2760953; 17589359]; [61036555; 70503640]; [15687947; 25771378]; [39826863; 58586501]; [28488221; 63875727]; [7034752; 15346235]; [18582351; 96763668]; [78635946; 69580804]; [39659931; 35752486]; [64350765; 45487826]; [96116206; 2011734]; [62811021; 5445741]; [68659486; 95634720]; [70584221; 58596909]; [15340395; 84951043]; [7462034; 57675796]; [9854758; 80931577]; [5324453; 63829482]; [23774016; 49726164]; [60689197; 3892524]; [48391629; 91825614]; [28209394; 79475484]; [43822869; 38228113]; [13588870; 82379066]; [79493152; 45249960]; [61040098; 31155427]; [64592311; 80764245]; [4179290; 7653113]; [44672818; 21198203]; [27467396; 53889936]; [91970112; 55511482]; [39244854; 36841774]; [81227819; 76701661]; [79635211; 34049055]; [76106751; 85931296]; [45808399; 45245640]; [25737562; 49845525]; [53585887; 78770215]; [95947019; 15687122]; [3145505; 22684317]; [19606485; 12587842]; [96076310; 42923642]; [15097879; 17796651]; [21879456; 5593631]; [362748; 41056363]; [27169170; 28933891]; [40245380; 33277203]; [51096056; 31865828]; [60900678; 59018065]; [48070643; 50382590]; [97560568; 80496935]; [9577582; 55635611]; [96146651; 25531397]; [8206642; 8001864]; [21265062; 81507618]; [47470695; 27937846]; [81720421; 57283592]; [78818699; 41493714]; [49463971; 97638997]; [93718947; 67108938]; [1672502; 60411136]; [1526010; 38968408]; [82609792; 53492963]; [12464146; 37708233]; [15621255; 84155560]; [48569637; 81482095]; [94482037; 89336522]; [32467928; 45316302]; [28182723; 73445154]; [44013364; 71498184]; [77871861; 43516684]; [35446933; 69784412]; [24941865; 88234462]; [95451002; 25302223]; [15768393; 29253572]; [76785003; 36622105]; [37888518; 80106094]; [90823478; 66544040]; [77103603; 46892462]; [64680439; 19348857]; [49832316; 1392856]; [59982005; 5015673]; [95117556; 98582357]; [13064974; 30359753]; [62206335; 30859070]; [22425412; 25619809]; [54474833; 96529384]; [89831933; 45874469]; [13690641; 79344441]; [39769018; 81562121]; [74046029; 47788283]; [39362404; 93061785]; [13166039; 21591385]; [44375449; 67128160]; [50664881; 24034008]; [36343939; 8561434]; [14407650; 52666954]; [59908964; 75769816]; [27781285; 22570882]; [85192113; 96345275]; [5590236; 16574716]; [19598207; 56453410]; [47315915; 61071044]; [54616736; 51140309]; [27145470; 15556367]; [31620035; 67516924]; [64830966; 67890467]; [31081453; 92476230]; [58066886; 47473103]; [2903867; 22361786]; [83176276; 43864144]; [74317359; 14573822]; [65364094; 49687564]; [37067207; 63376036]; [85038819; 72567481]; [93727365; 66642268]; [30481537; 5887262]; [43564917; 91660126]; [7568765; 23327737]; [67766393; 73158366]; [46199344; 95855495]; [6559311; 29219120]; [75687520; 30480840]; [16927851; 14775606]; [60663003; 12508794]; [642614; 31620774]; [61183210; 4387523]; [78898295; 43415150]; [23230085; 56243157]; [41167814; 71484001]; [21477530; 62915362]; [33005765; 59509865]; [6679139; 76208573]; [50108098; 72325075]; [3418369; 55047442]; [66831589; 87180156]; [52953153; 20466562]; [15914820; 15070367]; [15063608; 25106608]; [16577471; 21819529]; [41979450; 99250765]; [51575639; 44940852]; [1856676; 92608483]; [33462496; 35268342]; [90822481; 7700637]; [37180125; 66786937]; [13582702; 88488338]; [73757033; 6675862]; [38051208; 44374534]; [20070352; 12159827]; [79253639; 13818298]; [97529640; 95732516]; [66094932; 95750162]; [95759612; 61261992]; [11933801; 34622692]; [9308341; 85457049]; [51413940; 16286795]; [97436059; 53952563]; [55606644; 67555788]; [23231465; 46604628]; [63928883; 37703589]; [3867289; 63590179]; [74457026; 89899224]; [44811363; 97303793]; [50633841; 24118912]; [19150130; 52129671]; [69174470; 31017541]; [80281480; 1605057]; [2404871; 62602575]; [921842; 79959676]; [63954057; 69016254]; [68467100; 43586359]; [21143447; 39439829]; [74680763; 64404252]; [98942610; 80530823]; [28693590; 85621923]; [51605054; 28596464]; [92733875; 50293963]; [70302543; 63346097]; [68267149; 96418523]; [63365117; 7562630]; [48403573; 59888740]; [807238; 26317050]; [37884397; 7847670]; [6964444; 70112080]; [70079200; 39368619]; [99217514; 17934235]; [82395013; 13907575]; [41345207; 753018]; [93615798; 13227075]; [47818856; 66622402]; [68818916; 43155626]; [13345669; 25076733]; [57584482; 42497745]; [76982139; 94363007]; [50638986; 74719613]; [53897985; 56631731]; [29352424; 88827996]; [72140801; 64065130]; [27407746; 93110619]; [727958; 51900490]; [22188382; 44480325]; [80491253; 59670124]; [88346988; 56037301]; [12063322; 65972735]; [6967834; 15020675]; [65682333; 15370972]; [95966070; 30478508]; [96900737; 748725]; [97691252; 6701890]; [17933265; 49223722]; [98665460; 99550805]; [75313974; 14710143]; [33452623; 31405055]; [47331213; 72475541]; [72847218; 78889260]; [14181764; 82367989]; [78101452; 74542118]; [23133052; 43536134]; [56312112; 29240545]; [96412400; 13952841]; [3803323; 40869487]; [67222948; 43979472]; [8626819; 17429100]; [1333726; 63999424]; [73880211; 98100987]; [71408568; 45391419]; [33742942; 15354715]; [19785124; 63298402]; [26886303; 58548098]; [28308611; 118912]; [53978953; 4462776]; [53471532; 66413454]; [53978818; 52887239]; [42070377; 64590502]; [85943016; 58548608]; [49189419; 95637360]; [89568610; 46439241]; [68501369; 30953373]; [68489282; 24275043]; [30751110; 54483707]; [34778500; 84306219]; [8730334; 1133820]; [35792163; 94065553]; [57495160; 73510381]; [788168; 13829711]; [69281683; 36126482]; [87515476; 76678420]; [77790149; 97703706]; [41430981; 17540671]; [33524828; 63822234]; [63279617; 67399478]; [87989249; 99420769]; [28557344; 6404914]; [88022897; 86211068]; [33795853; 86007633]; [11418553; 76370954]; [10539873; 36762984]; [6887853; 24343749]; [52178997; 18267108]; [53535609; 36939557]; [49276100; 38029496]; [2139158; 52956664]; [99823746; 93023880]; [51443125; 4378597]; [19128133; 4210642]; [91295527; 8742813]; [65367868; 95342449]; [76874893; 98729032]; [15194172; 97456709]; [79487739; 25756010]; [3588646; 98784927]; [7830073; 4763840]; [56430166; 84991082]; [51054780; 7584162]; [78646700; 3231537]; [80996404; 13176692]; [83374193; 50425753]; [95495943; 11819144]; [85143647; 11581748]; [22934036; 79551504]; [32269434; 33699040]; [15427679; 83193310]; [96592946; 71748454]; [20298029; 2416613]; [12983580; 74319136]; [9306495; 52993247]; [59039584; 95373977]; [1271017; 89542512]; [8562807; 7664681]; [38574326; 17175120]; [51861498; 74445856]; [71153841; 12770033]; [51507300; 72385073]; [24302868; 7848815]; [22266351; 84492291]; [8759492; 34705210]; [3628858; 63561590]; [30825314; 19684263]; [33252723; 62049054]; [12022451; 4541452]; [93718320; 6609453]; [52122503; 75373374]; [70486862; 56352277]; [942558; 96513382]; [58336967; 8669709]; [46359861; 97047092]; [15567465; 19696554]; [46960908; 68148218]; [73839365; 30305150]; [31204864; 40166775]; [27177556; 19530355]; [95555007; 2259752]; [34089336; 63143994]; [71829059; 48808870]; [95336996; 70573194]; [76064470; 82765018]; [87930967; 71363381]; [60019873; 69528400]; [34648171; 60014992]; [17180362; 10161047]; [1963808; 6547484]; [65132852; 78708503]; [71132115; 39073785]; [90084542; 29163572]; [82785723; 98268098]; [26837700; 86379196]; [36933392; 94009623]; [38192392; 73651109]; [6405347; 36813801]; [24416544; 44414375]; [6880987; 29905526]; [57401645; 39370273]; [17513419; 11443718]; [5284470; 11942449]; [84587324; 87563151]; [28141315; 27804103]; [80828257; 58465481]; [3047633; 35007514]; [82197611; 27321011]; [68145507; 30290578]; [25214261; 16462860]; [63744260; 21751552]; [61477788; 45832801]; [22684864; 72877277]; [77252726; 82499772]; [38880854; 21965009]; [24513139; 77693820]; [96065497; 81489659]; [47527686; 62969862]; [16029579; 77397148]; [61528869; 35146065]; [62953550; 67718784]; [15872755; 70007748]; [4786784; 85243580]; [30387802; 66700728]; [68628755; 17938983]; [55096913; 57088694]; [17917833; 76272389]; [94227732; 65010096]; [25180659; 39245645]; [88496523; 43280491]; [57303707; 57024712]; [9649628; 72754397]; [3658521; 774252]; [56059500; 6375479]; [69922559; 89131474]; [73964028; 71202882]; [80843619; 46211237]; [98020816; 37496619]; [93330784; 20534507]; [11762985; 60768612]; [11512377; 23726705]; [97633493; 42376946]; [76691243; 99089863]; [74357141; 97282737]; [44790295; 55809695]; [43679962; 82553883]; [80806569; 52770968]; [97039687; 14353381]; [79656001; 20309043]; [80197621; 71566457]; [10356271; 95265212]; [49146857; 97307626]; [60489096; 55545551]; [29349881; 3830624]; [57490670; 96204228]; [9010572; 40103124]; [95229515; 91293452]; [4169631; 29828925]; [77696980; 56437288]; [9728902; 18325937]; [23338568; 21930775]; [42295233; 14378788]; [71672559; 32151232]; [52263513; 76677620]; [71521651; 39997758]; [66949779; 97835233]; [39367342; 38464823]; [3773489; 15256876]; [49006029; 602178]; [97735416; 2706800]; [19128291; 29126408]; [39949139; 74299811]; [70307824; 40278240]; [48401899; 45894821]; [84149274; 2943701]; [28328911; 93012627]; [94511931; 93183462]; [2716641; 45987070]; [74908514; 46796094]; [15758044; 98322406]; [11929017; 87034104]; [21476453; 66814150]; [9222412; 10139418]; [8574740; 43944295]; [30278020; 47822176]; [77216017; 61812562]; [39778831; 53082051]; [26441324; 24621110]; [31521364; 27271274]; [51479971; 46959511]; [6726517; 73293991]; [21513205; 32271059]; [69631192; 79933671]; [45606210; 92215424]; [33199470; 35099214]; [60667914; 88327539]; [77666972; 16770582]; [8923774; 89903533]; [60866608; 44191193]; [87867558; 12453276]; [89813613; 43309486]; [79950152; 87531092]; [50992108; 18286583]; [67411886; 5933834]; [17584134; 58607289]; [19537073; 14418993]; [34055652; 59027419]; [6230113; 99382032]; [44371984; 68906005]; [43679749; 30195009]; [6196425; 63633229]; [25519203; 30474366]; [8407837; 9709228]; [44784652; 25574705]; [40547152; 90576957]; [6024290; 42034607]; [87839588; 56214140]; [45977809; 39900615]; [14384648; 46685353]; [54725566; 54928631]; [60396828; 65913241]; [54095381; 58928398]; [19366349; 52649669]; [77509021; 47784205]; [77802632; 42777277]; [96248490; 21842249]; [38629202; 25267659]; [9303371; 42076030]; [79142411; 62012432]; [14720876; 24678650]; [5444549; 44152899]; [62033037; 83285931]; [11735172; 8336714]; [64398308; 57406720]; [685921; 1370867]; [88115360; 14481821]; [5052459; 47807815]; [64426859; 11938312]; [83055715; 52680341]; [1162279; 98981335]; [63053142; 95651941]; [20512848; 77423180]; [47998335; 91184755]; [259487; 45902437]; [96697486; 53870847]; [97236639; 64807277]; [65856941; 63750189]; [18328019; 32103928]; [24735237; 69188617]; [83056626; 45596762]; [62035317; 70081669]; [14209621; 83238285]; [34030553; 76273073]; [31000283; 80378664]; [39308893; 53516116]; [60763200; 31819606]; [35600072; 19112383]; [4189108; 87922161]; [51684592; 58868229]; [86084590; 10203920]; [60825931; 10623942]; [52223455; 12666007]; [91701442; 96799959]; [6086005; 62824938]; [73062134; 12203453]; [3021689; 67688584]; [23564179; 307681]; [27275253; 28166608]; [99965416; 23383053]; [71698172; 42929835]; [17638603; 96603975]; [50472867; 54780206]; [86925440; 3339710]; [83733146; 17289048]; [15081240; 69904988]; [81977073; 8819500]; [47112858; 56203723]; [42303101; 4660709]; [57293068; 87491000]; [81288918; 69339491]; [4429463; 38008026]; [72513919; 39568446]; [8588391; 42855607]; [71175038; 80812352]; [41860556; 60927322]; [46189682; 50536323]; [82156586; 89105886]; [53720381; 46424048]; [53472872; 75065542]; [35739341; 74924106]; [17879677; 92852700]; [83279493; 82982479]; [20157294; 25044881]; [15267429; 37667039]; [1877916; 12691119]; [26736375; 60220998]; [65142648; 99372341]; [12255066; 95387119]; [83179450; 83614951]; [68038108; 40801337]; [65538318; 21506459]; [5862508; 9204607]; [18403509; 15655992]; [22156536; 17788743]; [71550946; 27470291]; [32121805; 78898343]; [70583246; 72142698]; [54804567; 37796607]; [22238984; 67907995]; [85017580; 22994323]; [46275736; 49074662]; [50748223; 54970656]; [41247924; 20900090]; [60942996; 82820377]; [39517994; 4290407]; [64614163; 74369335]; [20962668; 99339871]; [7697392; 22458102]; [42263193; 38268601]; [81936678; 56527067]; [51754553; 26197312]; [37907205; 62844431]; [48488133; 27725927]; [14205511; 9064914]; [98722084; 28645054]; [82632947; 46607462]; [20234648; 40441537]; [23985416; 77837169]; [58197315; 29284079]; [34961524; 98733188]; [19261543; 13982417]; [60703232; 5928426]; [72717975; 1257146]; [91312747; 49993604]; [50492192; 85155805]; [84197967; 10451910]; [55920015; 53335746]; [57030768; 19791802]; [95561760; 11846448]; [53156445; 4911704]; [16173765; 77865623]; [43896160; 67914241]; [72575234; 37237703]; [32409258; 41457369]; [77538662; 43813819]; [3198057; 62422011]; [21302077; 43754455]; [55310578; 3074809]; [71843635; 62760460]; [8018175; 4543162]; [68751727; 24060151]; [80261366; 32134648]; [13738706; 32236422]; [69026637; 27667764]; [7688545; 4773412]; [57902929; 12953391]; [56320604; 20917777]; [26355675; 93804669]; [7280302; 1404691]; [57569094; 59228880]; [71370559; 61845052]; [11640057; 20942369]; [81579847; 66157121]; [64948619; 854090]; [71279879; 89463688]; [73360820; 15485350]; [37097421; 62382278]; [49827826; 27230644]; [49203231; 97112514]; [2271932; 33458831]; [5801531; 98714820]; [11922657; 60083220]; [50019187; 74617007]; [50701943; 95949898]; [15304445; 38893501]; [49533563; 72579640]; [86703815; 26179721]; [37626746; 32231264]; [42956657; 51478582]; [85075851; 32033378]; [74203878; 44184451]; [6164904; 11311388]; [65347227; 13466262]; [33881887; 57631658]; [49997913; 6700152]; [18584975; 71795804]; [50823290; 78984381]; [84564186; 9043935]; [14461061; 61182707]; [1811756; 63052163]; [53986536; 48555165]; [94490885; 97725587]; [19503616; 7149820]; [47227543; 88051186]; [84099600; 41396785]; [83580751; 31713400]; [13281601; 56323297]; [19702999; 39241399]; [36198518; 50952807]; [70062117; 57112035]; [33369361; 532975]; [76578699; 59522412]; [98467572; 30613269]; [94755185; 86218700]; [64632039; 41077712]; [55894785; 78549535]; [53635812; 81827061]; [96665116; 31578819]; [41797706; 24315874]; [43600984; 13418386]; [12031236; 12642198]; [13869714; 52501809]; [76063585; 21329517]; [97097318; 7667765]; [16486834; 54764023]; [27796927; 57884003]; [74242673; 34510282]; [40346178; 32133437]; [40110096; 11363163]; [11544949; 56862451]; [5427837; 22120157]; [49047465; 11151531]; [53383851; 24299928]; [36391402; 2520494]; [27556276; 96965477]; [35759731; 90624467]; [42935358; 75995348]; [89202382; 64311169]; [32044960; 49196984]; [28146397; 81849430]; [38983174; 98035601]; [6582244; 90133668]; [11329800; 44889370]; [79059050; 97793282]; [6022293; 85006619]; [44270739; 70390745]; [54975701; 25999919]; [16544847; 6414655]; [51223381; 53569522]; [14137558; 43351048]; [55960244; 9484102]; [86965025; 42655724]; [85627706; 6815045]; [54157543; 84070889]; [99679100; 53685691]; [84003678; 10497510]; [29256224; 67190928]; [54365014; 70075196]; [50252178; 72172826]; [84788825; 58243818]; [20914825; 1013245]; [86975563; 10420030]; [65470816; 29666526]; [6258478; 16311672]; [52228495; 96589725]; [16133574; 87858818]; [73108840; 54203147]; [32801101; 29846677]; [27182996; 986532]; [50692728; 55270661]; [48879356; 20882877]; [10966193; 16229351]; [72414716; 98943561]; [38095435; 33433981]; [14333626; 87350371]; [99272096; 82633516]; [33655; 1535206]; [19191248; 50424268]; [91826939; 5211397]; [54841327; 27217362]; [22402172; 62526705]; [9011939; 18830209]; [21586629; 13577168]; [57448983; 48102648]; [87721967; 92944190]; [966978; 76238120]; [66707010; 2378481]; [76637265; 3412130]; [90249421; 3932347]; [6382606; 9187340]; [88613856; 19642274]; [81927341; 6738571]; [70390404; 67870694]; [90844956; 36754388]; [77707158; 35308936]; [10799339; 52883840]; [64281399; 18543981]; [71079224; 59816066]; [34097201; 73939963]; [55703686; 36000065]; [15741469; 2392378]; [98834807; 37774525]; [1094462; 31387555]; [73193445; 2826854]; [3753980; 26035376]; [29795822; 68670296]; [55058427; 34395368]; [2596612; 8725779]; [16195796; 67029679]; [8133955; 16845987]; [74327570; 88079324]; [82127773; 68949036]; [71428140; 55599212]; [86360115; 71758842]; [38602566; 38378501]; [92833634; 32560079]; [83035140; 44175076]; [79871395; 21145031]; [40153274; 39658756]; [98339432; 12750275]; [60476159; 1270080]; [54679581; 16243765]; [85295979; 81204531]; [22142687; 97833673]; [3040205; 83174005]; [61519450; 93713500]; [82649978; 34544851]; [94699764; 47544849]; [71126291; 35395236]; [95923232; 10367972]; [28119633; 12344662]; [87995347; 42670538]; [21680665; 50164013]; [68753578; 87575004]; [37740767; 41532795]; [5561925; 29680317]; [82870840; 8789286]; [96536054; 13466857]; [70298081; 33858161]; [17164780; 9189051]; [24304796; 66039189]; [78277425; 2038062]; [9492565; 121130]; [31714282; 49384800]; [35719976; 86575989]; [17834668; 67916654]; [28598818; 94050430]; [954749; 38430512]; [97393484; 98983747]; [20373878; 7592933]; [23302835; 29097152]; [23476592; 3498950]; [30680869; 9901950]; [33501440; 40284212]; [23141565; 18566448]; [25695718; 44635409]; [30489811; 96003481]; [85413868; 74370452]; [63609081; 26332978]; [83412157; 44851677]; [3996838; 11651542]; [13980839; 50155003]; [96490586; 19824603]; [24506117; 8864631]; [65608852; 69005642]; [65285419; 67148942]; [60425546; 39435447]; [86728005; 63660224]; [89961827; 68068352]; [91511475; 84602090]; [24457863; 64587556]; [66570793; 55673243]; [72774974; 85042172]; [79925671; 33148331]; [85415066; 72845010]; [81938492; 25503077]; [4503138; 18605567]; [66310355; 88991448]; [69133706; 15997843]; [87686565; 4420072]; [70166773; 43180583]; [12241467; 60100679]; [10130856; 23471786]; [81901038; 44628729]; [607282; 31652867]; [89317678; 97059140]; [15173616; 32187635]; [37712709; 46122627]; [26528538; 26344284]; [21167052; 56211005]; [83123061; 79576054]; [18039816; 63279136]; [24503815; 95108839]; [42167744; 22592038]; [11734701; 14444173]; [35830822; 62580054]; [21408439; 61594259]; [78219312; 24274661]; [18392671; 12622421]; [75456900; 83250570]; [7015604; 62513328]; [26976840; 47423310]; [79498995; 55102535]; [41994251; 60817368]; [96942920; 17875229]; [50855074; 17991861]; [22892106; 4231150]; [86617831; 18990868]; [5530963; 76797973]; [93220057; 6347888]; [10884459; 42899538]; [4060872; 35903020]; [22073946; 27440277]; [69995243; 1262397]; [82945240; 13041600]; [94827404; 8443371]; [90533620; 4521304]; [94824149; 16189856]; [97269428; 51164249]; [90858320; 36076694]; [38792735; 27787131]; [91600000; 1708213]; [21193761; 91873401]; [15702069; 77226607]; [18717200; 48670581]; [7057454; 86847212]; [91839404; 5781302]; [83951074; 70349464]; [2548076; 12366073]; [2692180; 41359421]; [78334963; 15493242]; [1214266; 93870781]; [67156502; 55366164]; [84387659; 64155538]; [92725287; 31510149]; [11095383; 80337962]; [38104603; 56197643]; [18688353; 18262501]; [21155629; 97845578]; [7424751; 12805157]; [93285473; 98322520]; [61736875; 83768259]; [83576430; 23074691]; [17265185; 31415601]; [16169730; 5473187]; [97187987; 35244331]; [94859455; 52533678]; [70381142; 28778411]; [76044109; 17399965]; [68441879; 17473050]; [33020873; 22103439]; [59202977; 91220045]; [59660531; 96868054]; [28712522; 29750317]; [76333969; 50681992]; [18300374; 50492754]; [92617656; 74163616]; [36883812; 77489796]; [21804009; 17609361]; [71145437; 76699621]; [56452781; 82104625]; [87877356; 79417229]; [21328532; 59835169]; [50518885; 58337697]; [46375284; 68370395]; [41749264; 5561106]; [36899883; 72436066]; [1747460; 23149965]; [73139798; 44396110]; [74781817; 66617330]; [42301067; 88683211]; [60709469; 76060032]; [65530452; 14046586]; [37966865; 51864701]; [98755091; 2924694]; [41369984; 62475891]; [69285066; 85840184]; [75287668; 37284569]; [32814277; 2268757]; [36976154; 71794866]; [65543762; 8190416]; [86373442; 86916132]; [2038334; 76559224]; [13278772; 45260051]; [9122707; 82610280]; [240007; 49435375]; [22033535; 94280629]; [74379643; 90490424]; [36890601; 6312719]; [99427559; 2659723]; [39326985; 35003648]; [67746856; 24814501]; [5817373; 33493078]; [22736106; 56117239]; [60375759; 88509792]; [81397079; 34204101]; [46697212; 70771831]; [3323002; 10424268]; [1679982; 60752148]; [9382614; 90644503]; [69521960; 18769589]; [74171841; 40817730]; [46315252; 66775531]; [12029836; 39288624]; [84825287; 30700368]; [15184916; 22495873]; [2537235; 759650]; [54093273; 9478550]; [15927179; 9556471]; [23543345; 88398632]; [68341742; 20316878]; [3338533; 73831540]; [1713206; 92329871]; [83362853; 11033285]; [30631307; 81363862]; [28160386; 91341177]; [94867015; 92634803]; [92798345; 17059522]; [16781276; 39946334]; [90018446; 38505921]; [22995361; 63617760]; [20115865; 24633107]; [14756316; 40825043]; [97083937; 99208209]; [99096112; 75051238]; [61586385; 61366349]; [96674524; 43202519]; [51030671; 32504316]; [80476160; 16989073]; [71414637; 19679486]; [83140723; 53732228]; [19982860; 17600133]; [2925687; 18085276]; [74933104; 95521073]; [90801939; 13850455]; [51769905; 19509036]; [85555198; 50216152]; [48930061; 44585276]; [54451174; 15713997]; [7274315; 3665869]; [28164775; 65634295]; [21662849; 87564159]; [15605244; 74121094]; [36258561; 68210484]; [27872358; 79147853]; [63775478; 18845966]; [81047088; 61108569]; [40656475; 60069227]; [53844030; 22770913]; [11544314; 27480067]; [8021237; 21734656]; [34023407; 47656338]; [36485876; 46842228]; [3747972; 37033720]; [48238244; 78189397]; [19823179; 23312031]; [82323750; 84628459]; [56489811; 22967653]; [33233942; 90970180]; [17724588; 92556346]; [29669517; 26141080]; [93723705; 34231277]; [95946800; 97619264]; [20841565; 57703916]; [44671071; 64746376]; [67937259; 77336103]; [71859168; 40732555]; [11814551; 39354587]; [57513822; 42267314]; [88754058; 90768616]; [5303424; 86489213]; [53732532; 80650139]; [98416802; 50679879]; [93790250; 57923650]; [8369405; 76556420]; [42512132; 83401016]; [99842815; 3717925]; [75253981; 27546931]; [40245688; 69579714]; [64439601; 93378186]; [91505797; 9630784]; [49526732; 43461307]; [30031025; 8759749]; [27930764; 87097298]; [54204442; 67342192]; [95550484; 72839255]; [10003742; 70853288]; [90950908; 53334442]; [92214934; 60168991]; [19998573; 96466645]; [11085257; 532979]; [67225882; 71953880]; [61012815; 33345412]; [2862591; 69822182]; [76353486; 43659287]; [62343552; 66145530]; [30952796; 11225015]; [47243206; 36622884]; [59504662; 97301440]; [97752560; 11483870]; [10262584; 22133840]; [48536875; 31330076]; [24318244; 31113521]; [88890613; 80560150]; [40716445; 74511701]; [30457921; 72220354]; [22758301; 17765783]; [45066356; 97268558]; [10664579; 11961942]; [10517808; 85497837]; [37001220; 92797529]; [14823504; 63248071]; [84265132; 69808680]; [9088155; 80483639]; [91365201; 18179617]; [20786074; 38689622]; [92796712; 41409595]; [645190; 76483791]; [59634521; 19303501]; [40908430; 41669990]; [89104103; 25975341]; [71481829; 67980629]; [17497460; 38373245]; [82405040; 74360876]; [70336526; 40580131]; [15929325; 92926957]; [37906088; 14416050]; [2520429; 39099987]; [55283292; 68206926]; [55875731; 31273459]; [15442182; 8100560]; [97679986; 34330804]; [24189355; 21029507]; [59765696; 13998899]; [93340625; 23515486]; [38161788; 93202802]; [95185884; 30820505]; [42406850; 64838287]; [90551256; 21949071]; [89743258; 88360896]; [13857216; 16568721]; [39963532; 22112154]; [46090412; 15982273]; [26448435; 49041833]; [10336433; 86066207]; [76948963; 60439059]; [49134125; 31784348]; [24702935; 65366340]; [46998993; 19166631]; [78588732; 77334004]; [65995339; 20504398]; [96958482; 69377683]; [81130503; 34514864]; [55855895; 86678623]; [94016641; 51937341]; [42100119; 48917724]; [88113656; 4782023]; [74826956; 79774731]; [51910035; 24427918]; [8408977; 10522205]; [45906722; 69290856]; [10490082; 30920678]; [2439649; 23954148]; [13671208; 36692715]; [35276794; 1739088]; [21967751; 79227663]; [84779134; 81390819]; [20129451; 42062877]; [93050214; 49275989]; [30360598; 70351870]; [30964451; 14045666]; [59888633; 94506582]; [64574068; 16806387]; [52387068; 26490730]; [50914273; 19867606]; [93470589; 31182344]; [52731142; 63535835]; [13668462; 38544638]; [23985087; 99965938]; [67299898; 81125506]; [33298321; 25860699]; [95745527; 63487513]; [44172459; 13640304]; [20428066; 79656845]; [14159432; 45367367]; [41410578; 90161674]; [89045855; 85255645]; [87679594; 98411568]; [28740589; 30159437]; [76496579; 35726801]; [56604273; 43294986]; [95643620; 27825153]; [705583; 55582556]; [55616063; 70708238]; [35788255; 26961564]; [31459972; 83372295]; [88191643; 55842897]; [72003050; 28619785]; [35155128; 89240104]; [66983313; 82431657]; [76153530; 76681046]; [5792447; 66112124]; [99776274; 1665453]; [52411499; 40092197]; [58777411; 16748213]; [6657408; 56735065]; [26773977; 90313368]; [56313892; 47899296]; [58816299; 57781174]; [52252981; 91324676]; [82810442; 85014392]; [51305695; 37130213]; [86139968; 460333]; [46657032; 40346113]; [11899054; 51009125]; [8169045; 59156854]; [97120182; 92468469]; [1717891; 14783778]; [59847133; 69579170]; [24826997; 24643900]; [35565650; 79021466]; [98759859; 8546239]; [35313104; 49132083]; [56119766; 14193476]; [14823202; 89866501]; [38528022; 59906200]; [9644589; 95211300]; [14506567; 31121785]; [21246635; 16862866]; [89965899; 50793126]; [63084725; 97512758]; [39787720; 86201319]; [71290628; 38294202]; [22391903; 25718909]; [90976201; 80168715]; [98689504; 62719834]; [56051074; 81087483]; [61751256; 17443649]; [62158003; 22159665]; [3255347; 94313464]; [36909904; 20641834]; [26620460; 60760012]; [11565146; 65223573]; [6906011; 18629650]; [17605950; 17584536]; [44526149; 88335024]; [77950032; 59340496]; [99660483; 14324289]; [95327948; 47869175]; [28749369; 95328542]; [3043232; 60442925]; [28781892; 82079677]; [10625875; 82241819]; [95030459; 46846618]; [33934804; 40890346]; [99372926; 73575902]; [90463072; 24673931]; [4181881; 12939561]; [8857285; 97789538]; [49129852; 54738107]; [51895147; 74301357]; [77296765; 34437120]; [88117248; 88553788]; [8500323; 55570383]; [80317060; 14255919]; [33471207; 32951749]; [15840687; 85871906]; [91510596; 34634920]; [53440406; 54464964]; [19940639; 176587]; [39099587; 79607797]; [56528166; 79373106]; [73114103; 61552479]; [29699515; 22665751]; [55271855; 70108603]; [40543830; 35182710]; [72116640; 84760056]; [21395435; 23757823]; [94817115; 74255719]; [79926067; 62739024]; [81880263; 65157101]; [91448644; 3107857]; [59739422; 7727751]; [3079707; 30120241]; [87459216; 93124813]; [73252202; 17853108]; [74464488; 50934879]; [13806751; 36519946]; [35931240; 38903427]; [24540883; 95066805]; [92259166; 39844692]; [70869944; 31218070]; [58498592; 37048578]; [35476878; 41569701]; [94444138; 3723529]; [96642679; 38965571]; [29836439; 65237795]; [65269033; 1282438]; [3828149; 88293440]; [34879197; 74071721]; [15205746; 92132118]; [64418837; 48633645]; [23585070; 27386425]; [99008583; 14899467]; [28194817; 46926988]; [12324834; 81203855]; [97406308; 66358685]; [17708862; 22426040]; [31728600; 69937917]; [49497172; 79574810]; [23046276; 30883898]; [61121788; 45148999]; [5691668; 33478257]; [26357550; 17280495]; [47436245; 38616769]; [68407212; 10947116]; [63240354; 39114521]; [93679259; 2604073]; [92997628; 47316702]; [82257088; 5525249]; [52159752; 12954413]; [30946915; 83101136]; [31329219; 69577116]; [57148237; 76032619]; [52359877; 74864021]; [39911438; 86800869]; [19742526; 59199073]; [20493780; 21573974]; [7506942; 47330530]; [60885325; 66345816]; [26927741; 220836]; [75286434; 56315825]; [63625818; 47707186]; [60716384; 19136074]; [53187151; 55372905]; [93935887; 85965715]; [26507230; 20492551]; [29685351; 45897886]; [47757048; 72279848]; [15676491; 35465602]; [49535960; 38847919]; [92310557; 70257931]; [4975506; 2908072]; [81927886; 94144798]; [76730544; 53383976]; [55507252; 95597888]; [68419425; 2799549]; [36538163; 93125040]; [1238250; 61258164]; [48937529; 89422605]; [71743661; 65006942]; [16390712; 97633231]; [44231400; 86412236]; [9949780; 46720286]; [47072041; 55467408]; [34038757; 85840483]; [2970879; 1188303]; [38767935; 87501373]; [66454925; 48443436]; [81080879; 79994566]; [42937911; 67890438]; [51705532; 38758795]; [59048778; 49117393]; [87688592; 55924140]; [9811657; 60403618]; [34979037; 43755735]; [99998275; 90741533]; [14415171; 13202282]; [710891; 63425166]; [15221946; 93259518]; [12234497; 73494422]; [69760893; 71310259]; [28985898; 77935712]; [15885984; 15129384]; [51857105; 88164916]; [60110387; 42829682]; [29591901; 72794767]; [48337189; 5635435]; [37624597; 51343087]; [78706404; 51143124]; [47360998; 50093336]; [28676082; 18581075]; [5621478; 23770750]; [79455557; 8293685]; [78535970; 43955726]; [72863749; 94322153]; [77629211; 50324825]; [49384731; 97779206]; [64293613; 84756742]; [67219474; 45272178]; [38743914; 95051319]; [87439922; 47308817]; [18938309; 74803208]; [64976854; 99732360]; [17238715; 12900546]; [24463710; 27877204]; [45677387; 43370102]; [95057269; 41395747]; [8065985; 87456564]; [40789397; 16613642]; [78510962; 49613335]; [98625776; 53340925]; [6346687; 34775697]; [31023786; 17468470]; [33791492; 69966587]; [52477859; 15077194]; [22345433; 6762583]; [78030566; 34968632]; [8848052; 70299661]; [12247041; 75102348]; [57035295; 40976737]; [87357604; 63782602]; [10212888; 77330519]; [77101610; 4205265]; [99651856; 1880484]; [43582365; 20058362]; [86095629; 50647248]; [41103160; 73349287]; [59716046; 31751658]; [82317245; 63510192]; [94726918; 20024071]; [96388482; 3088315]; [5063676; 7208085]; [74411988; 50107870]; [229535; 1656927]; [41831998; 83943174]; [39219750; 6559751]; [18607824; 57032436]; [20296287; 1190396]; [1651964; 64086454]; [29079194; 42005817]; [52711407; 21713464]; [3640719; 7451074]; [23597907; 5166121]; [30084414; 87445055]; [9933284; 48313173]; [30791636; 55541776]; [48537217; 85072541]; [92078117; 54144604]; [18826361; 14176819]; [97076825; 85559484]; [79800083; 48316415]; [63984224; 410780]; [76451258; 3342940]; [86227943; 76404290]; [67077468; 45173093]; [25076011; 72155004]; [13150881; 5317977]; [1582931; 81578707]; [22580124; 12116356]; [56136247; 41355974]; [73862158; 70260042]; [96145943; 16093092]; [52729338; 6973769]; [72675548; 98074567]; [48055082; 81690819]; [5712207; 32907005]; [43292671; 75857152]; [67556254; 91571125]; [29460369; 87962297]; [31257571; 33713531]; [65404713; 23394824]; [83265165; 45360549]; [22560687; 67175015]; [77311; 98180510]; [83149615; 56389138]; [70791052; 45170001]; [21503468; 89652453]; [93738346; 7843797]; [82333649; 58657927]; [39706785; 56185798]; [2863749; 68298521]; [2920004; 72010214]; [82223012; 42547319]; [90084925; 83609872]; [87265689; 73875571]; [83865185; 77661628]; [33519675; 21018900]; [4708816; 15690978]; [87348345; 6484209]; [43103299; 79750772]; [96759655; 27669745]; [51448751; 43199527]; [33592239; 28692037]; [73798061; 62435816]; [11575244; 61072331]; [13815408; 8623779]; [20631629; 24216092]; [55589049; 79036770]; [41532965; 6637911]; [73191069; 96846994]; [3183471; 86837086]; [57870052; 11866557]; [36214706; 92859014]; [46451022; 43658026]; [48671148; 83246143]; [45469947; 20828577]; [86161209; 30307280]; [42157409; 82405257]; [33416967; 42053263]; [52018023; 81031220]; [22174941; 94464881]; [40334165; 81934599]; [16361563; 58669912]; [48970582; 83092192]; [73177173; 96335058]; [58264614; 98858811]; [44924785; 96767785]; [5740794; 46267148]; [6298159; 25185664]; [16292385; 19459464]; [42365290; 41699350]; [43106079; 54574799]; [1859504; 12916210]; [22394671; 95556017]; [64071808; 70731000]; [57875724; 94315021]; [6393609; 43058405]; [69222024; 77686431]; [42558672; 46446973]; [39936273; 70385323]; [80011155; 11026686]; [42151940; 77910249]; [11764125; 20642376]; [18351167; 52596975]; [77004364; 54719289]; [56427679; 76528246]; [24707592; 4901354]; [18720258; 70448244]; [80158451; 8562524]; [91920669; 40462466]; [62270347; 11922528]; [15898879; 74451541]; [99725823; 31905473]; [81092297; 34482900]; [43929193; 51914356]; [58565024; 80625785]; [22526350; 38516131]; [70303549; 26387880]; [80833812; 18254639]; [46976345; 25283454]; [77742631; 76971831]; [97606246; 65156178]; [63848666; 98395035]; [34538447; 24948928]; [14383425; 38763448]; [38898888; 12531712]; [85672049; 67884853]; [92124567; 37334907]; [75884157; 30674479]; [8277393; 33867173]; [53230388; 68728211]; [47172877; 79724593]; [15724517; 69933250]; [36821900; 1784605]; [27917992; 89547204]; [17359762; 76406833]; [98229357; 93578336]; [25234993; 71933825]; [2708769; 13595353]; [80620540; 19229054]; [77334051; 54665431]; [22571106; 64056821]; [42121025; 12278323]; [96954677; 96405517]; [99915050; 66583376]; [91639101; 5210632]; [13390959; 80792311]; [52170537; 13298923]; [6951929; 1413310]; [37375856; 96890243]; [45884861; 72741229]; [495051; 72121751]; [87034010; 10168777]; [25208948; 92979225]; [17579595; 43028107]; [41567940; 18017673]; [31449710; 63886869]; [42522805; 56919476]; [88653516; 20320836]; [39591330; 18558736]; [24681781; 17544709]; [23839444; 15513061]; [88914171; 88098679]; [68704141; 5728097]; [10643365; 94765212]; [72369265; 47207855]; [13162510; 88139997]; [27471483; 19282459]; [2396784; 39725349]; [24165016; 63843865]; [8389509; 23037616]; [45069923; 51666490]; [14314171; 82930577]; [11926140; 23742166]; [40410877; 25007316]; [23002537; 85875415]; [88517398; 90675913]; [4659150; 8813989]; [76711523; 74001711]; [25238957; 95901241]; [26642996; 55555216]; [49436842; 69291274]; [52190328; 17010181]; [30696896; 58136790]; [14926560; 56397458]; [18087364; 90825693]; [12697397; 15088935]; [69706458; 40112595]; [28724006; 59858764]; [50988684; 75970589]; [31052789; 18966167]; [77938286; 20799748]; [66480760; 45028835]; [1954139; 38201583]; [54063999; 19090683]; [45078416; 92290237]; [32094340; 16623447]; [31231245; 88468682]; [28007724; 9897011]; [34489319; 57223711]; [1826219; 71217665]; [45661700; 34670001]; [28345114; 1074401]; [8744915; 48574890]; [37400275; 94610539]; [92256244; 68182874]; [44566521; 15234847]; [26526628; 26721404]; [53378874; 45047674]; [34378743; 56452703]; [33397775; 90969994]; [34820830; 10312432]; [65456609; 4870428]; [13279517; 86815318]; [62131340; 54772144]; [96443193; 83310108]; [50734336; 48162055]; [32535403; 97023820]; [59732430; 83848118]; [14681349; 49910852]; [75873178; 24003150]; [51315764; 25560997]; [43338002; 870832]; [42062360; 71388154]; [33657468; 22927795]; [5291232; 39464760]; [2928496; 58112427]; [55082886; 29642916]; [51553164; 14908183]; [81514411; 16415870]; [12016078; 61175997]; [92597295; 59675630]; [42910184; 82460855]; [88327728; 47022474]; [78778954; 78177312]; [23815648; 10592817]; [86588207; 71249797]; [64284712; 94802180]; [33435292; 34236388]; [71904738; 27829812]; [30729322; 82482339]; [54325932; 96144000]; [21345286; 11475628]; [89254853; 72114764]; [93332571; 6049216]; [29507365; 36292787]; [20574814; 36928937]; [3931851; 89310956]; [54971298; 28084235]; [34206984; 54922156]; [78706444; 42973956]; [9321825; 65719722]; [54673989; 20187528]; [51763638; 96384669]; [54949714; 52683938]; [92601950; 36390743]; [19997799; 59483566]; [89969276; 43918424]; [30239323; 29530061]; [75267813; 39093211]; [80140461; 32240231]; [57217490; 4480850]; [18378489; 93408366]; [8985261; 14891985]; [65436589; 38452222]; [19702677; 92399651]; [28071934; 97939343]; [38812177; 93227326]; [29036123; 22587187]; [854855; 19332657]; [38051442; 32904178]; [47247327; 17270718]; [6781851; 903676]; [7389672; 96031471]; [88549543; 41154786]; [97178742; 69059817]; [21661597; 91841515]; [85870792; 9713421]; [17619010; 42506956]; [76524503; 46258983]; [60636035; 83047480]; [3689941; 85806578]; [38895493; 41396545]; [13802950; 26400982]; [73486518; 139655]; [63832125; 22859596]; [13356898; 56382644]; [95715468; 7272669]; [24616081; 29316090]; [47652844; 2658332]; [50480884; 27590537]; [84646215; 20989288]; [44207905; 45862652]; [17482241; 91528236]; [43275815; 84846155]; [18238951; 83655535]; [662450; 26342206]; [4366548; 92133639]; [94555869; 35308641]; [20820335; 93568769]; [1748027; 75132595]; [93633733; 76024501]; [44844827; 19878774]; [70609436; 67545202]; [36665403; 71099597]; [51884799; 52866732]; [71992683; 83232934]; [13274524; 82228121]; [42344290; 89873796]; [57125356; 59520846]; [14879135; 33661114]; [51417381; 53064734]; [34524904; 49004679]; [55401206; 34019807]; [82711970; 51164489]; [25143429; 26800431]; [41328837; 30507912]; [17625651; 64402551]; [36076783; 28979524]; [24359274; 56319715]; [49316628; 84914726]; [66311175; 8752611]; [98217335; 46485370]; [9930412; 30322501]; [20996174; 40903152]; [29724186; 56879610]; [36908293; 59045185]; [74596598; 12174905]; [20056673; 31027979]; [97320671; 245334]; [92004427; 91403509]; [48675705; 8617226]; [5475841; 57754595]; [96186320; 52585097]; [74267001; 13066340]; [57363899; 60307101]; [43913177; 43566668]; [72874474; 40298489]; [38982762; 30385107]; [37636747; 68190]; [55471368; 95205756]; [91118727; 47040275]; [66493430; 89802128]; [18906284; 10496286]; [79448100; 65795009]; [98731406; 69503299]; [24562738; 68035924]; [33228878; 86249456]; [33917153; 87379546]; [71807033; 78442484]; [51177289; 23871927]; [16742334; 7774011]; [17986045; 58767342]; [14599174; 9576656]; [10721976; 42308066]; [37439279; 34327947]; [84328535; 51122630]; [44933416; 81058693]; [84774233; 75148637]; [90742894; 24277829]; [46793365; 32894416]; [27442540; 80862896]; [82029470; 24792702]; [90513793; 89186323]; [95279434; 55501109]; [48786100; 25008358]; [98014498; 39324183]; [1969631; 75491375]; [57150711; 88685471]; [67263867; 55496989]; [2534673; 14072831]; [5395135; 2663677]; [50449615; 70339193]; [31594154; 95796050]; [3392755; 92463769]; [52730169; 44166333]; [83438115; 94558477]; [83152016; 92861000]; [25309225; 90864646]; [79777647; 48692293]; [78964509; 99784041]; [90151765; 14700552]; [98794920; 69937011]; [50435682; 32821962]; [82487644; 6363934]; [50981948; 27555187]; [6594191; 13010876]; [51884820; 34680908]; [45217574; 55678529]; [86134687; 53442399]; [48577590; 16745350]; [60466643; 9927931]; [37145001; 948150]; [48958009; 73043277]; [92754101; 5018175]; [1123406; 65499171]; [80909383; 59593988]; [20934013; 53009155]; [21960034; 12372013]; [47871214; 94378999]; [59527249; 90188552]; [32458303; 44936423]; [68204941; 54475719]; [1566624; 22292700]; [35876955; 79787728]; [47551926; 9211956]; [96492009; 51768773]; [29618442; 88172077]; [83526397; 60595041]; [49771690; 83171795]; [34354255; 59185776]; [36728239; 66737776]; [30272826; 80450515]; [30391765; 31810768]; [55542097; 65007183]; [24041886; 37073913]; [61600567; 95458068]; [54199197; 48094380]; [47678189; 47733166]; [47962525; 10898175]; [70443441; 85326252]; [83162168; 15237554]; [3206259; 39082718]; [31533324; 99198264]; [53784823; 74025099]; [47780295; 57890512]; [60564465; 95956905]; [36664755; 66615712]; [36037693; 93241421]; [66582825; 2686414]; [57164247; 80494162]; [57971273; 33547126]; [73863311; 32535495]; [91836399; 77432726]; [13781211; 19717870]; [58278607; 54353478]; [21135852; 57519487]; [50006778; 58664887]; [9048890; 63210400]; [43796353; 46962276]; [59848716; 31681515]; [9417629; 2181116]; [52039658; 89780081]; [20705441; 52326885]; [40795283; 97654051]; [96366526; 62010652]; [24591208; 38114813]; [60921639; 53678707]; [97453056; 69060398]; [85091076; 96398943]; [49356739; 79367948]; [53639151; 92004190]; [99095429; 45924063]; [12052198; 49189117]; [72637700; 85036016]; [9999767; 93662187]; [96585198; 3035062]; [76019143; 79787387]; [84268223; 75669315]; [2509084; 64696903]; [65152854; 19182656]; [770306; 48432759]; [59027638; 53205787]; [68686447; 92184477]; [76129773; 72447638]; [73934996; 17453273]; [79593574; 86860319]; [77506656; 98117560]; [11490607; 35362197]; [53116976; 20597025]; [75302111; 66919674]; [17538869; 6730849]; [78450223; 17906072]; [22450951; 34990444]; [3357954; 44914318]; [79890251; 59485622]; [27760419; 19275989]; [85935706; 27677368]; [76766437; 74343171]; [92625994; 99068791]; [8231428; 39730731]; [31749258; 44340677]; [77100927; 28784022]; [13653641; 89916776]; [16554662; 31119622]; [11005158; 74197263]; [61635299; 49330174]; [32563858; 8717610]; [20566526; 6184480]; [32648400; 24873808]; [50663253; 8889732]; [16176067; 63119447]; [33587687; 45220508]; [69116037; 62211136]; [63712384; 88722931]; [60525233; 13731738]; [91098195; 36934270]; [36824767; 77305095]; [26040613; 78738736]; [35524811; 84969833]; [91814318; 10338865]; [63726580; 96526546]; [336955; 99061851]; [83495563; 57884837]; [5617249; 56323046]; [89823061; 62135288]; [1972874; 50015993]; [67581995; 61459301]; [44491744; 54623342]; [34982024; 79695165]; [53982438; 43854472]; [10516151; 41580327]; [44582193; 56570507]; [4893058; 27627495]; [23263428; 95102711]; [94096336; 89367190]; [67804573; 20884835]; [87260692; 5932221]; [92916406; 70935170]; [4137683; 69314791]; [98919759; 25001801]; [50638334; 63842878]; [45497187; 92513601]; [73721603; 50876431]; [38072050; 41053698]; [46706966; 97134164]; [73235255; 55624288]; [3587208; 91587527]; [57962090; 65410836]; [65063870; 81931926]; [72255269; 31906989]; [86792426; 56325148]; [10572656; 80650901]; [51748467; 2419785]; [24934032; 87256303]; [33094228; 16488521]; [83779883; 23931265]; [92495367; 57502836]; [88541493; 1211946]; [58262892; 15817719]; [44394456; 75790742]; [49108688; 37491080]; [24056294; 2043759]; [64367597; 22538506]; [43900754; 98496529]; [31615254; 15835627]; [49647780; 98512170]; [71696441; 82183548]; [83076755; 83835017]; [72307659; 26398241]; [73201476; 36658094]; [27405441; 71118684]; [4455477; 85946986]; [84342756; 36374674]; [54142105; 50159898]; [21830581; 64326895]; [3966329; 93615224]; [6832673; 68364327]; [17279187; 48387090]; [45771945; 31231917]; [33440194; 62864050]; [24010000; 34623500]; [79865358; 56999116]; [38226035; 9585982]; [74051679; 90633542]; [50788152; 97755401]; [18642935; 91229541]; [64060062; 38964239]; [61749261; 27756122]; [61086547; 88056813]; [68934756; 73208072]; [59902864; 23547268]; [160361; 64357402]; [38412366; 19680512]; [66770154; 10870623]; [22418887; 35533952]; [59920875; 65379877]; [47591956; 42425558]; [90345101; 92423696]; [6519889; 81139410]; [84426690; 26102625]; [73012625; 37569671]; [31126796; 35747638]; [9689949; 52406135]; [37356369; 38358137]; [95991736; 68700398]; [99574978; 12424473]; [20363717; 34030704]; [1506997; 84848025]; [69241496; 54778051]; [64814857; 81241220]; [94319325; 65574070]; [40205808; 81085534]; [8413855; 67132820]; [62325513; 78547295]; [97082249; 41455110]; [17408989; 920035]; [36853565; 78955962]; [46579645; 10544069]; [12700471; 53537806]; [96584259; 51570848]; [21603121; 8595627]; [41158018; 73351307]; [18863630; 3645886]; [64826165; 16609904]; [39710497; 90065893]; [21973321; 45639642]; [19652036; 88721249]; [65006950; 62653544]; [37241093; 33843915]; [73601307; 18300592]; [11683462; 12348774]; [12390345; 41920953]; [20309107; 64250015]; [77632283; 34633494]; [39034189; 59938484]; [88992426; 34592533]; [78327612; 31018253]; [72733889; 33940987]; [40071512; 33112348]; [85576325; 62031678]; [9397259; 78267724]; [49938637; 9116605]; [75448118; 95183763]; [74914198; 78652746]; [27762959; 34027488]; [14397303; 7541102]; [39174871; 71758137]; [26552993; 92914072]; [95921515; 82780994]; [9863546; 4133280]; [23444792; 91066386]; [10417034; 42605628]; [65460905; 39718472]; [78133993; 57882969]; [39827224; 74465904]; [10007861; 14579017]; [29086054; 7932245]; [17636138; 6939269]; [87995791; 41635714]; [41216838; 94312034]; [13581219; 17363089]; [39344585; 22165506]; [45614882; 36017390]; [31110648; 61728884]; [50724849; 46315886]; [3021903; 96903360]; [77058286; 53432594]; [67343905; 52633996]; [40087887; 21123915]; [56011212; 40948746]; [7873088; 18665373]; [28508963; 2748700]; [85441310; 25731334]; [80648150; 65278268]; [34395404; 13247540]; [28359210; 34225043]; [3417530; 72348105]; [56431043; 37345450]; [35862423; 20139797]; [59652641; 21411155]; [62921370; 72324742]; [50914204; 23371407]; [7824303; 82305023]; [87618020; 41041706]; [35562800; 88714567]; [35949667; 6294929]; [49652692; 12038769]; [84918747; 37387763]; [92245168; 2814261]; [59129563; 43823188]; [45309848; 1183409]; [15132653; 35941347]; [48731078; 48894226]; [20490218; 45373717]; [35842020; 62355003]; [69599907; 90317181]; [61241849; 46616587]; [96569959; 68747171]; [31980236; 8612156]; [81664156; 22360064]; [78525343; 3671058]; [30224429; 69112365]; [33640479; 35777755]; [25162179; 13782513]; [43601307; 28493977]; [18901983; 2800851]; [23141256; 82332961]; [27532659; 30055710]; [8105004; 43031779]; [42832951; 53949941]; [559138; 41821491]; [72796281; 50784976]; [6652229; 99201685]; [9049227; 9989120]; [95152638; 30998286]; [81867083; 97537179]; [13751657; 52944286]; [71644052; 21509091]; [67726278; 74473569]; [55206328; 85715955]; [14540485; 58386972]; [48775187; 36778151]; [81231538; 76506196]; [14263261; 14497530]; [56779930; 59762743]; [15486782; 75166903]; [10683118; 70457763]; [44913990; 40005099]; [29160637; 55304891]; [695528; 32902847]; [68282495; 68654007]; [3626005; 88201320]; [48148145; 13487694]; [29855721; 4313803]; [41188320; 1574757]; [71221369; 69046578]; [68192645; 32710572]; [67937929; 57295162]; [57092198; 97954772]; [22242295; 30550164]; [73255919; 62909480]; [73340863; 48568149]; [79644963; 24417176]; [66680641; 38571206]; [38848663; 50062934]; [95863615; 34380548]; [63857129; 16661048]; [59994986; 61804212]; [63930078; 99905821]; [53686406; 37570203]; [24923913; 55347077]; [74068279; 89866423]; [14346818; 73818773]; [84263699; 83124580]; [14034210; 42881638]; [8158168; 38858576]; [72833573; 33243416]; [83802718; 60474212]; [71844555; 69235600]; [34066676; 91383431]; [80520802; 1750672]; [91303520; 55871917]; [46516826; 61414128]; [628772; 37934081]; [34604855; 57822435]; [77551986; 63602326]; [62657731; 3873318]; [49494902; 35418675]; [31198373; 9154907]; [21380603; 88621995]; [86777230; 10655542]; [59934889; 65691060]; [82321802; 45384060]; [71463091; 75660922]; [5304889; 7473496]; [17468561; 18183917]; [15437154; 89657330]; [51499813; 17465139]; [27301106; 16624493]; [54553393; 8167866]; [81170104; 44505423]; [47763913; 30608566]; [41962897; 38567356]; [34815676; 35411399]; [25386203; 26091838]; [73287369; 57289918]; [75253565; 3974964]; [1486845; 25206496]; [50681226; 3988848]; [44908583; 82189041]; [28307314; 14306179]; [55068543; 31623702]; [6798524; 68814390]; [78316716; 51722178]; [62834084; 28628038]; [63569793; 49397728]; [46823707; 2080741]; [6608186; 23670340]; [7196682; 22118423]; [76754911; 8853498]; [50141440; 1460128]; [30743902; 10875086]; [77629606; 12893225]; [63800723; 7117218]; [27009090; 90418248]; [73534120; 63833394]; [89439682; 25102885]; [50301967; 82534868]; [58437766; 4284697]; [68261012; 48516286]; [91006618; 27475900]; [42416208; 51163105]; [50478932; 90377822]; [20219942; 31541302]; [743948; 62345087]; [46161207; 89563369]; [78770571; 27841013]; [67117233; 95914228]; [2955086; 72577933]; [76091213; 82157294]; [58124325; 45092237]; [26765326; 23426240]; [10795841; 50264026]; [10081794; 62067692]; [24825427; 97845573]; [44472118; 49589440]; [81921335; 49407227]; [46766508; 48596335]; [6117205; 66170448]; [82487031; 6728028]; [67800204; 14669791]; [27075051; 29171159]; [61770420; 56651166]; [21542812; 22778256]; [61019070; 9570627]; [83139281; 17392157]; [59103436; 2018557]; [19159081; 349478]; [93349555; 25727228]; [7775350; 19589934]; [49743701; 52892775]; [48616261; 18757751]; [50812266; 4599078]; [78533774; 72284297]; [36568839; 28017928]; [90486520; 72974077]; [18315162; 35635047]; [29119882; 39812669]; [77467872; 29147757]; [55406023; 60362373]; [81395801; 13927944]; [39381818; 1080998]; [20846243; 34497685]; [78125334; 62933009]; [80415561; 76082187]; [33382842; 76061369]; [42773923; 99220521]; [75009215; 35309823]; [6730354; 67919331]; [13302118; 96786914]; [12627410; 70598039]; [58004215; 44773636]; [7353744; 60440753]; [2521068; 46939136]; [69659345; 72555277]; [68797418; 41145616]; [67654650; 50023426]; [38507171; 96145210]; [77763785; 46119972]; [32358532; 65203316]; [44762806; 28868572]; [79491214; 62662187]; [51621773; 62314232]; [12980701; 56411917]; [38984661; 19437027]; [91172513; 12817738]; [4873995; 29027615]; [39740469; 30222385]; [59102865; 57302024]; [95254479; 72046028]; [71782740; 44733072]; [9098787; 83596147]; [5784749; 84787532]; [69609417; 15225577]; [31620662; 91207051]; [86505825; 80595004]; [91255458; 39217257]; [11766075; 19645727]; [65324210; 81453878]; [31142220; 99219184]; [98443070; 29519272]; [70142411; 33310611]; [34448575; 87975257]; [68107004; 68584377]; [7691112; 57094577]; [16341898; 87284819]; [55345689; 58218056]; [63594981; 86155979]; [74718897; 47386337]; [63503187; 61837514]; [53781458; 69936303]; [88947622; 89769380]; [40457207; 50139967]; [85981851; 89262340]; [90743686; 1195363]; [6960660; 23543194]; [74023341; 47593499]; [75257681; 72419116]; [12880366; 28662068]; [82744082; 7006044]; [46689790; 66662048]; [75588358; 28696800]; [47928473; 12639749]; [14306763; 15303978]; [73155050; 62269901]; [41475494; 55713164]; [67287463; 79252590]; [44578193; 51341501]; [49546051; 2335134]; [56648841; 87017601]; [15833098; 59054862]; [52845413; 63058631]; [15549008; 14781530]; [67817872; 51964985]; [34128187; 41816140]; [35447445; 69097877]; [97096667; 91819788]; [52278136; 60600882]; [39112074; 15340559]; [31698405; 91198186]; [55836276; 74443210]; [89597833; 80561860]; [59681545; 41614471]; [17488077; 85273229]; [59296176; 71811978]; [52474320; 72024484]; [99542657; 65767006]; [10811624; 69276414]; [28192976; 55589422]; [1691572; 50671986]; [68090506; 23057643]; [92340965; 45996179]; [77562587; 88954573]; [18972633; 23000743]; [73031344; 53763241]; [71349723; 64942616]; [59850972; 7085576]; [94708182; 65716704]; [47002781; 20724781]; [51785545; 72742349]; [59183740; 14951981]; [13882381; 81172791]; [86054120; 95739260]; [16934229; 25943544]; [95352123; 72604040]; [81301078; 25764591]; [29261330; 3939385]; [47963743; 63347462]; [85981474; 59164404]; [17382104; 89158308]; [32932833; 88881837]; [7975343; 17573101]; [68790113; 9749219]; [82430518; 87536743]; [73387554; 94974086]; [23836190; 9761233]; [89505053; 21961582]; [68875451; 41665849]; [96962881; 44961694]; [15767754; 75662630]; [4685507; 55160280]; [99008904; 92106428]; [21204766; 25467743]; [9046607; 95895969]; [90395386; 20235101]; [1388390; 68823243]; [61874782; 39537892]; [97904884; 65299448]; [29921586; 55581580]; [26214700; 22621591]; [75627900; 28684498]; [84392656; 67591069]; [97959142; 55262622]; [7148349; 20904593]; [52820537; 38545058]; [22742652; 47688346]; [27398097; 8521987]; [23076662; 12261157]; [61348104; 31417044]; [11261872; 83300477]; [31756979; 66056434]; [5839082; 31365055]; [62456606; 35649810]; [48922441; 84970067]; [96708914; 45944560]; [91950657; 12844262]; [95099345; 60342242]; [72414661; 59121868]; [17896601; 68442898]; [83985842; 12217476]; [36544207; 42687231]; [14785795; 32169848]; [3364650; 43517917]; [79960979; 16624549]; [74903837; 22271861]; [61097360; 46433104]; [39174746; 50002758]; [79457262; 61601348]; [63645428; 26601466]; [66139857; 27918255]; [84212874; 82802631]; [35066686; 73416269]; [51070762; 9834450]; [8303987; 31627220]; [21386538; 75577783]; [50350533; 95983872]; [99679735; 82779812]; [77678171; 47701803]; [60480810; 92291359]; [21319329; 12180102]; [73255086; 74108852]; [64124864; 63228002]; [49432193; 23884855]; [18490122; 51755153]; [86151462; 308389]; [63688735; 72493379]; [10617619; 6261374]; [87150859; 32623629]; [22670155; 29125770]; [81801629; 9054980]; [14994456; 64474587]; [84158613; 54993776]; [14662637; 29446234]; [44477867; 29521712]; [33558006; 1484282]; [77114924; 48504381]; [58597265; 97032403]; [35660073; 23773095]; [19640803; 46199461]; [89630250; 70338274]; [34446453; 38550352]; [20269865; 7372987]; [65595799; 36494547]; [73105407; 74109538]; [10076076; 77047739]; [64069413; 72865530]; [95063215; 65384655]; [64783155; 51426418]; [81584182; 75433196]; [85150880; 39093373]; [49856101; 72338520]; [9334166; 98933238]; [93355915; 66331720]; [30754388; 95662648]; [21164085; 63671601]; [95469650; 55543392]; [80508134; 30689136]; [19214627; 27641157]; [99851704; 4213711]; [39480670; 16262147]; [99707103; 73327224]; [2923094; 41104433]; [10822862; 48724991]; [96246510; 39902297]; [90306450; 40960136]; [60265662; 32068469]; [95446775; 26422055]; [22376753; 31571306]; [99019867; 32305065]; [90279146; 18813307]; [39218660; 97652929]; [94795111; 67641243]; [59376011; 61747989]; [98070541; 59130714]; [92977639; 64453234]; [99249846; 8083132]; [86859663; 72729968]; [8332601; 35037664]; [74631423; 33579959]; [99262429; 84881941]; [844016; 97074291]; [88043480; 47396797]; [98936403; 23261130]; [81750183; 77056062]; [62051910; 59065150]; [15742638; 85043168]; [71378931; 40617465]; [16682494; 51007932]; [27993577; 85721556]; [83463721; 87019815]; [31828345; 86550926]; [65593007; 48633590]; [77261341; 49304807]; [43008929; 93929261]; [68969433; 14250118]; [41478928; 49487602]; [59080431; 72311278]; [68920579; 94004761]; [44690443; 14215063]; [38184302; 24276268]; [37141752; 37153118]; [87940261; 91227947]; [17723338; 66108634]; [53540338; 52324113]; [15010712; 16102783]; [70366667; 55740151]; [21780377; 70451803]; [66844104; 64743659]; [99305892; 51912730]; [41796215; 39944023]; [81849238; 71638658]; [89844308; 30072730]; [54475409; 14606437]; [33624922; 24669365]; [36071553; 13288415]; [37334499; 60541319]; [38787457; 88067726]; [11487798; 50079190]; [5650153; 13257208]; [11810012; 29909892]; [36702630; 99821159]; [94546112; 25775113]; [17602425; 96299596]; [35985122; 9683244]; [8345773; 30072160]; [29667217; 5132329]; [32484661; 71313082]; [4851304; 10456740]; [32903651; 67557229]; [19181060; 98810144]; [22960992; 93605339]; [71318314; 75531875]; [38225647; 74113394]; [12403188; 16704056]; [85264465; 35036571]; [64810043; 30550282]; [2139270; 2368842]; [61034269; 61007789]; [20600098; 59972405]; [38371024; 51340191]; [38940155; 59914218]; [41197983; 708448]; [47749003; 87233764]; [56596673; 64050057]; [97814100; 91667848]; [3096815; 19669977]; [97469749; 22249178]; [69500036; 49396234]; [68498553; 6130876]; [35926325; 26909036]; [17559698; 20193518]; [50232206; 75800124]; [59332219; 2509993]; [25049216; 83876132]; [57451662; 37824950]; [35886876; 75691703]; [46168269; 55418924]; [66375032; 56070080]; [49428363; 10237764]; [578570; 89376908]; [37657131; 85586330]; [35775531; 61665781]; [61684666; 45182473]; [20501448; 58249155]; [63738954; 441693]; [11631671; 82709630]; [60269430; 69318808]; [21947403; 36360462]; [99458793; 73563929]; [22247447; 37088134]; [50374522; 50329121]; [96032379; 70069394]; [37104718; 18147175]; [81565756; 86903434]; [47652098; 39435722]; [81012046; 14388664]; [83281904; 66915308]; [79108092; 531288]; [38159402; 85731640]; [43595820; 91414072]; [20343070; 14286967]; [899980; 38547016]; [78044788; 54027394]; [88411824; 68336221]; [49922695; 36812471]; [7374295; 87209033]; [38674821; 9212809]; [35363902; 51403298]; [74228499; 86215415]; [84780795; 39442459]; [13583226; 45518791]; [79338016; 86621281]; [25352412; 43809344]; [35939076; 24034202]; [34415839; 9549694]; [55615873; 9392243]; [21055338; 93182429]; [70607285; 31094909]; [59549649; 63057648]; [26985929; 81395709]; [93046121; 70281196]; [98019249; 37217570]; [7012825; 21265837]; [84111327; 71014715]; [83493006; 1158776]; [4501286; 96587590]; [10361669; 88724897]; [97892091; 72479772]; [40486032; 20389041]; [52550258; 60307210]; [65595201; 1501841]; [20946251; 84796106]; [2810507; 57752943]; [69136432; 32517976]; [9223065; 83278039]; [67058726; 40250837]; [95726321; 5412370]; [67504613; 47557612]; [93908461; 65838432]; [44285543; 79619948]; [28669066; 68728932]; [11115054; 43004386]; [16696589; 36894551]; [87354022; 55258318]; [97956790; 58608048]; [39051871; 65490192]; [21089546; 706767]; [50603771; 21757487]; [2657590; 97832274]; [67756841; 88779370]; [16517362; 45281452]; [71438534; 12309809]; [34138195; 22840617]; [85352460; 25812691]; [92804359; 9605892]; [59292960; 37967629]; [97023910; 39931975]; [51873201; 42754879]; [13946279; 67288120]; [85402598; 62037520]; [31536451; 26643855]; [37083674; 1687694]; [66797754; 51122526]; [20532941; 2794797]; [95857319; 60641130]; [99707603; 49285262]; [72033631; 57063736]; [22601578; 17156879]; [96973240; 52367551]; [31742988; 28639216]; [65276743; 81739973]; [50402261; 32055402]; [45187712; 7029084]; [1940523; 92946515]; [74624719; 60556798]; [73830540; 63278673]; [33279485; 54448697]; [29663945; 58064106]; [80546143; 26248658]; [4905335; 98707619]; [62742271; 96449700]; [34103614; 95013550]; [25376536; 88433218]; [52794025; 8552150]; [61285199; 62382088]; [19691638; 72227056]; [34601453; 71858102]; [55862985; 16851367]; [14582452; 65195316]; [89960985; 94353931]; [24187673; 7180616]; [89274331; 93394224]; [47930110; 18075203]; [17774608; 43257644]; [42188785; 12406832]; [75063350; 71151514]; [59602536; 66821114]; [31533248; 44623255]; [83302087; 46293976]; [91320666; 53699071]; [46751175; 70228905]; [62892588; 72027758]; [66554387; 34969907]; [54256957; 17736943]; [45219963; 64748111]; [74225751; 93895009]; [33495765; 51464015]; [45069366; 97080791]; [39535982; 49690478]; [48817200; 59969343]; [85731306; 41332910]; [2761362; 6955122]; [4309877; 24197094]; [66545937; 3660490]; [74604256; 97524396]; [66454926; 81450871]; [32613576; 77685635]; [60268048; 73307350]; [71937873; 51328084]; [36904444; 30379782]; [45463851; 35286978]; [84542891; 91906461]; [54730243; 93075674]; [44909048; 8217681]; [58829221; 63836484]; [27666647; 2817541]; [40415082; 92202826]; [80467866; 90663574]; [90359125; 26109897]; [35612076; 89562090]; [634229; 32355368]; [71086012; 51754518]; [94595260; 66652228]; [56932392; 86725091]; [94241723; 55782089]; [91871188; 53053146]; [42363416; 85570909]; [5620549; 75032292]; [2442659; 15147812]; [15333039; 78781176]; [85482813; 31125580]; [2530575; 63780409]; [31470609; 58843069]; [48737859; 86636671]; [60466246; 90561496]; [53252946; 97752096]; [70656332; 518366]; [77713094; 85583230]; [35124634; 66122641]; [61165958; 48697969]; [56347127; 67764831]; [60136806; 44510714]; [75771577; 35571504]; [73707535; 5197636]; [85041224; 29059282]; [89132235; 52451378]; [83017929; 89620967]; [7558440; 63869019]; [1013628; 78103670]; [95468708; 16389570]; [75657935; 32053853]; [23429798; 81753863]; [26165001; 69614453]; [32067448; 69728127]; [27775963; 14930533]; [77199845; 49856358]; [24698643; 77227271]; [18974940; 11069729]; [3413128; 69586161]; [46757227; 21922921]; [84336827; 64185402]; [92410173; 95668176]; [32250052; 2701068]; [72989687; 82548358]; [87776382; 92466485]; [39149661; 68198046]; [48908079; 19902928]; [58697981; 22316629]; [20082005; 59168558]; [82483373; 89465990]; [14204627; 50971757]; [99203546; 84397055]; [70554191; 5331743]; [12186545; 18453246]; [72887912; 4122637]; [4505544; 24437585]; [39110375; 93025128]; [61420083; 63784449]; [66796544; 5164943]; [38889678; 45797743]; [71816897; 6970694]; [57858046; 71571539]; [56119352; 78552439]; [47317214; 77255991]; [63454630; 94768521]; [899956; 95561300]; [39935919; 12472459]; [74679708; 76817155]; [18483344; 57892768]; [71692379; 97544935]; [90621; 86116211]; [64518443; 92283351]; [85910504; 79983252]; [16792052; 14345649]; [65367168; 11286700]; [17075804; 73800746]; [70569569; 94885815]; [27818100; 13476214]; [37154712; 8048415]; [5343656; 45522164]; [44014752; 32108743]; [35419630; 5732191]; [67016078; 3771563]; [25138309; 11888810]; [23732467; 71394340]; [66041865; 50771416]; [254280; 69881210]; [92967447; 39856108]; [79931686; 68074769]; [19063608; 59802652]; [47047476; 91715721]; [5711025; 46543516]; [7021469; 4275212]; [95451269; 7377196]; [41148610; 50156177]; [27287491; 44242516]; [24273110; 52674582]; [66453190; 74801198]; [77321046; 777012]; [30396096; 8471392]; [84284428; 29212789]; [97045273; 35903102]; [83118008; 50691126]; [2512597; 92343852]; [33932868; 80446473]; [365568; 63324558]; [59026678; 71598651]; [38946816; 29621291]; [63270257; 55680371]; [19876773; 41924937]; [5582258; 37864376]; [2571279; 48812090]; [30803245; 53411164]; [49151589; 84347722]; [10179462; 60231831]; [38741483; 42077129]; [421908; 36712915]; [24385488; 6575064]; [98063343; 1467596]; [11130960; 46497266]; [21535185; 80814591]; [84483197; 26781786]; [14496963; 13234828]; [39122494; 64984666]; [19725585; 33599933]; [62772462; 78584613]; [87372245; 14703896]; [31622289; 2887825]; [84511410; 8309202]; [96229626; 63313346]; [41078761; 12220614]; [17361106; 42751038]; [96195457; 73833107]; [14509892; 39976634]; [80612968; 43617332]; [89128952; 89829298]; [12216806; 13304789]; [51799132; 60614014]; [1474574; 96102686]; [78899826; 18533105]; [11534380; 48534995]; [34807914; 27578107]; [89013338; 98203436]; [87991240; 66971945]; [12719203; 38347574]; [4620170; 23595849]; [36769074; 76110056]; [78504552; 53008357]; [42884469; 37760229]; [31905990; 2798600]; [17612026; 29414682]; [85337115; 81609166]; [78314432; 28502468]; [55692705; 64978563]; [6497563; 6602637]; [61799153; 64939461]; [58899061; 22177729]; [42855733; 45986899]; [74258214; 35489563]; [6352587; 32812983]; [29481180; 4411457]; [81605501; 2188590]; [64792673; 74922206]; [50574607; 41390048]; [68369882; 776433]; [77970800; 23759492]; [49064400; 8586630]; [51797800; 33692235]; [17113834; 27299375]; [15537287; 86441412]; [1787065; 73898934]; [76982648; 59532021]; [24520307; 30878176]; [43814185; 71434822]; [78024438; 64876703]; [14826079; 90251243]; [42307360; 96217226]; [605210; 96822305]; [68637381; 95939204]; [21242340; 6847164]; [22472658; 15905765]; [44130533; 32367889]; [715589; 96680145]; [67124683; 50099566]; [97371883; 57156829]; [88058025; 58231510]; [92051364; 50487713]; [90125822; 47426356]; [75390260; 28578829]; [27643914; 28718004]; [32107306; 18504609]; [70062684; 90487060]; [80836528; 70066439]; [47805508; 34344466]; [55591011; 73103809]; [17409645; 78260431]; [41586758; 17401916]; [7024751; 49494392]; [31088615; 30776170]; [57826624; 82145533]; [44523413; 92330045]; [35025728; 8271090]; [15787847; 25867567]; [26255799; 20910455]; [88187717; 11549424]; [66373728; 7084293]; [83017993; 92541879]; [19570696; 44999037]; [98308650; 34079849]; [53617332; 38085182]; [52051064; 59982612]; [49689533; 76035948]; [37012878; 45324514]; [63933577; 57863938]; [85148677; 32758512]; [52713265; 24280528]; [42883322; 9363138]; [67195384; 85021833]; [63900289; 27688743]; [25857142; 83139312]; [59392760; 7863912]; [65737168; 93607280]; [7065865; 28964543]; [37630213; 93220810]; [19219945; 1329009]; [17609089; 98751498]; [38384020; 39958062]; [26494540; 34735454]; [45081643; 51500637]; [74935677; 73774687]; [2798421; 40798194]; [79209393; 29464644]; [42130584; 55300890]; [71163729; 53617354]; [43866471; 71635930]; [66458000; 37452484]; [25580197; 35043804]; [84128139; 45065521]; [18354634; 27534722]; [37943422; 83903831]; [1402587; 68927281]; [84562504; 95572156]; [38050946; 84441332]; [92129830; 48051417]; [46717099; 23158848]; [17481986; 45846776]; [12342413; 84465231]; [9722893; 95270689]; [16839977; 50858391]; [53139246; 55928293]; [77120715; 87809890]; [58156067; 84842128]; [46915705; 66034423]; [27731502; 57748535]; [81248245; 87492466]; [2996797; 4078957]; [43607702; 17486307]; [8444665; 14084976]; [65448731; 24806510]; [51878767; 6344891]; [77887845; 37419798]; [52908025; 4638763]; [60550888; 7894344]; [63129398; 94315926]; [57414871; 60179162]; [17008981; 80395538]; [45137428; 48765831]; [44701490; 22927827]; [77793899; 42302091]; [66919743; 7311226]; [78459146; 88669122]; [4405464; 48360485]; [27424587; 1102233]; [47749577; 78550458]; [75160440; 13572589]; [75203800; 81474095]; [57753671; 38055730]; [52736372; 33849890]; [48521262; 75825789]; [97146759; 66669706]; [73438156; 16111357]; [68574953; 66519060]; [12715770; 5112965]; [6620147; 59953823]; [94150759; 45495082]; [13272523; 90166172]; [94712340; 25968220]; [58021137; 68853004]; [98946718; 50547907]; [93483211; 37508213]; [39538299; 69041129]; [89709999; 93621736]; [15693240; 94302891]; [51574587; 16408574]; [35176633; 57168212]; [46018725; 80853380]; [43481528; 11147700]; [61240126; 56882701]; [65044349; 39765974]; [53051688; 91728327]; [24258376; 64915296]; [66032383; 12671909]; [7629277; 94911195]; [11124111; 82253957]; [79791380; 41419319]; [76344317; 77780347]; [48224681; 44781077]; [85527699; 41648259]; [22961915; 44385622]; [6622373; 16302715]; [2200243; 25890645]; [27035653; 76628341]; [39770712; 13534607]; [57182223; 53035976]; [44200141; 82139133]; [83457634; 24658069]; [6521476; 47626051]; [67489100; 59138961]; [72604552; 48855778]; [25954411; 41841519]; [63159238; 5648438]; [46562458; 99733085]; [902678; 81856387]; [12651116; 8994127]; [79250846; 30187303]; [15319545; 55528334]; [87164424; 70254503]; [58650530; 5572429]; [53708015; 41382617]; [43561118; 49897796]; [27561322; 43137566]; [21190690; 48600134]; [49318864; 61024937]; [44825399; 32503111]; [96786072; 45046600]; [17659928; 3735238]; [62140011; 67706065]; [56103311; 52909249]; [35493659; 85969943]; [74831553; 30134980]; [87401830; 85970371]; [98060361; 40041854]; [12434936; 32317105]; [95777706; 48152716]; [27612113; 88173445]; [25098666; 24645264]; [90483181; 73935797]; [56832471; 85919166]; [75662252; 12297764]; [63002459; 85784707]; [10819807; 10165671]; [40921595; 98990545]; [12798343; 20619357]; [30027469; 6415431]; [73580640; 98420212]; [52807198; 95504713]; [8293171; 28682254]; [18059927; 62978407]; [30538780; 6421147]; [52958499; 42466454]; [38120289; 60118066]; [67917376; 74613438]; [68361754; 69160161]; [79903167; 38219573]; [21954411; 60689465]; [31244652; 13749176]; [66294146; 45057941]; [2060137; 84141695]; [20430819; 10715632]; [23996617; 83484346]; [94218884; 98698161]; [69487108; 89482816]; [97184535; 33610771]; [44211749; 14671373]; [5514287; 9502492]; [88101098; 5013414]; [38963556; 75535620]; [56084327; 57101173]; [28334538; 26487527]; [85266395; 81528506]; [9494039; 97545628]; [58790181; 54741543]; [13301349; 43270128]; [5750999; 29538491]; [97642450; 26825940]; [55019835; 39638304]; [48830165; 85135394]; [23159562; 64431447]; [59673590; 9955568]; [34073778; 79151905]; [18172317; 14066680]; [71446978; 60034656]; [20321411; 95399770]; [2303812; 54146099]; [83727896; 4753973]; [77666052; 82537487]; [8504510; 11863579]; [30861516; 88679936]; [51531025; 18170956]; [4982894; 61556166]; [14116607; 12262448]; [1441639; 41882484]; [27380897; 50933556]; [52524415; 61795191]; [16569592; 7397112]; [62037825; 46646284]; [61386278; 16020641]; [53046210; 7848058]; [34378475; 54596411]; [13624614; 71289135]; [32755200; 17608160]; [22457036; 48353417]; [32600622; 8612665]; [26139006; 69936171]; [5950639; 74789179]; [37012489; 59734998]; [80539932; 47373344]; [16624461; 40006724]; [46033951; 94672819]; [60470254; 13575164]; [84383937; 89443940]; [846642; 96678031]; [96564944; 84700850]; [27502347; 27282049]; [72361318; 68955721]; [66500069; 73002404]; [52514433; 34757960]; [1450313; 42938823]; [86876268; 57358458]; [12453853; 45118581]; [50583548; 69842703]; [43906547; 87400587]; [90536618; 12375136]; [27526323; 71466227]; [38991576; 89481579]; [53148216; 95375231]; [35900862; 49092716]; [28298510; 85249784]; [53196322; 46562660]; [43539867; 42906797]; [8998010; 265177]; [1187655; 56046355]; [125057; 56862344]; [22039026; 2669027]; [35386614; 35227209]; [71944788; 92378573]; [54217037; 87412341]; [85214228; 62866312]; [67132300; 22116967]; [74871069; 13996834]; [20695983; 90851033]; [93968606; 56742200]; [99510877; 45409623]; [56474241; 95729346]; [86943920; 18240600]; [10175086; 57559832]; [32076761; 46728358]; [72139712; 80112435]; [63082507; 65611646]; [6216223; 43482408]; [76875319; 69632005]; [4090862; 74762890]; [64638300; 80488937]; [98887895; 51021295]; [52820265; 56518824]; [59864524; 71978939]; [53614235; 7561196]; [87467810; 70045916]; [16762818; 28608977]; [99902973; 90259515]; [30363007; 70200123]; [92750493; 78807421]; [51356492; 36204224]; [42783094; 83357675]; [29740768; 60449000]; [78011930; 34494642]; [48881186; 48606417]; [74740856; 73506027]; [5348318; 80584633]; [2488710; 54458958]; [25528752; 75126804]; [63097486; 54991861]; [64148462; 31072277]; [16399974; 63788508]; [21167133; 80949880]; [8808045; 45883549]; [96330182; 4299363]; [21977748; 1827737]; [21059133; 91867496]; [83876309; 51125643]; [1378142; 82829820]; [15519204; 8143318]; [36644990; 99194630]; [36958408; 10501866]; [76802707; 22343735]; [71760755; 22678995]; [65002346; 79387952]; [90038226; 45926949]; [48120706; 55609888]; [81688308; 22859825]; [17507868; 1884044]; [34182521; 54787289]; [61670132; 51320348]; [32073914; 54701863]; [37143219; 45760887]; [48038615; 31037847]; [85890928; 1666850]; [77122484; 98221859]; [67682638; 87923109]; [2865178; 7343466]; [37956373; 89861916]; [71718965; 69235686]; [13938609; 97722283]; [43292802; 93929163]; [26129771; 69802140]; [72962046; 28849889]; [93932893; 9843343]; [93903242; 49564839]; [80579908; 39049457]; [30296192; 99872110]; [67838444; 24570634]; [78676089; 39106403]; [56099796; 58475768]; [5705325; 2047048]; [84832465; 73231398]; [45501880; 12125036]; [55443944; 58399981]; [72381623; 78191557]; [68327953; 41535123]; [65643331; 78199344]; [15869211; 56052249]; [69836533; 91363729]; [95501855; 66367591]; [2139; 11435734]; [41846326; 88965080]; [90859107; 4697059]; [61890740; 20036987]; [61412971; 76043339]; [5481964; 10003715]; [78025404; 70394609]; [99165445; 85666169]; [13314320; 22487047]; [1010972; 63684818]; [5425082; 85570296]; [92195611; 10757221]; [42955558; 29744152]; [41609433; 13479669]; [13804491; 11832759]; [83414812; 89742470]; [7465254; 7494513]; [97070619; 53108810]; [65669493; 14237891]; [66325631; 55018808]; [22432033; 61095430]; [43018803; 51068905]; [73535554; 71905704]; [91214375; 14105493]; [25471416; 29429778]; [8419899; 55508592]; [70349125; 36428393]; [18803182; 56560691]; [50938790; 42862820]; [45568781; 15059226]; [63190176; 95337781]; [50034954; 44119468]; [78774803; 32850918]; [82011868; 44932643]; [2554293; 60853787]; [81176227; 78035630]; [59867671; 84549029]; [74321042; 49538979]; [41920203; 26703639]; [24890149; 78902101]; [91084775; 30989121]; [14975742; 5805679]; [75510595; 626656]; [92388288; 83201214]; [13265481; 19151856]; [58163715; 59855958]; [68021308; 67052951]; [83477462; 41547163]; [80374359; 25107179]; [45177257; 22403135]; [77215584; 79591996]; [99052520; 57750474]; [21926365; 27042306]; [2700610; 21514813]; [22912001; 21908670]; [33799401; 51641910]; [6739415; 77293124]; [64330678; 30627294]; [3660592; 904276]; [61045888; 82445672]; [91404614; 91636264]; [74628275; 11616217]; [76770079; 95891502]; [62801134; 5833797]; [19298357; 30325226]; [67022341; 57053899]; [86444434; 56966556]; [61840398; 12531610]; [56908382; 63942299]; [42793907; 49187042]; [92920528; 62765432]; [88381837; 69655797]; [50289072; 1691341]; [70849882; 4671765]; [46423884; 12396142]; [77948198; 33995566]; [89835456; 29848034]; [86386021; 86856738]; [9416206; 97379209]; [91769586; 53072990]; [32911924; 55388706]; [22936836; 81606690]; [59385398; 36225403]; [62509138; 53705870]; [78121914; 90120302]; [13036855; 64322813]; [64993535; 34241183]; [36022206; 19845658]; [60911492; 37021164]; [35469915; 50219306]; [13325313; 59198443]; [69272449; 21284993]; [61647945; 19972773]; [63415257; 49147812]; [90659004; 85437598]; [9536471; 29795585]; [83076328; 99716828]; [98106699; 63805319]; [43492579; 11612805]; [797601; 59138087]; [31378845; 62486470]; [5886368; 13785177]; [48616793; 98636732]; [69941429; 38916704]; [2093287; 19731879]; [90740091; 25574266]; [68751915; 4393598]; [49863714; 90143644]; [34394003; 45038123]; [90379241; 32929097]; [36341344; 44374199]; [98860949; 76764144]; [91445409; 40205214]; [3494211; 56889713]; [99064990; 12783671]; [67875362; 11625276]; [72996622; 86887314]; [80626255; 48148055]; [63704465; 9386044]; [88103744; 43230480]; [35580814; 87244302]; [81938263; 43776747]; [81202875; 28276302]; [82121693; 12300649]; [20267195; 39577858]; [57923640; 32159236]; [5609361; 98154305]; [22573901; 63696983]; [44021434; 14134705]; [39379926; 52120342]; [5367400; 76955451]; [89004855; 67317596]; [7356636; 7697795]; [84629737; 67331556]; [70795067; 66657636]; [19276459; 95222921]; [13014133; 64908205]; [3024081; 57656108]; [25679608; 98708357]; [4206844; 6058954]; [87851217; 97119574]; [16328972; 47768006]; [46019280; 98943630]; [33823353; 88976282]; [67023258; 77554865]; [9089772; 81945165]; [52802632; 28154514]; [45426397; 4957708]; [71815585; 52214723]; [75305787; 42456030]; [37241805; 25839072]; [18976586; 54759568]; [70235145; 7306945]; [14504471; 26469639]; [7617602; 31752319]; [63536231; 87708749]; [8645833; 2144584]; [65769222; 84877179]; [29221191; 91768797]; [89299451; 78423721]; [3405826; 97245121]; [1730709; 50676175]; [31337156; 121379]; [85351717; 59867736]; [29067122; 12725771]; [64617483; 21945244]; [80063117; 56885661]; [49712642; 40095059]; [54890011; 5827273]; [47711090; 57031930]; [23031674; 281281]; [99372296; 30176868]; [76749465; 30051083]; [2886963; 32668918]; [86819526; 53380691]; [98989476; 13280859]; [27614569; 94457716]; [30965160; 63236882]; [10282719; 2116505]; [7066747; 369232]; [63179150; 64355835]; [29479233; 97025409]; [4614908; 80501999]; [89866680; 83010940]; [46098866; 47778290]; [10149974; 2888827]; [45359121; 15296865]; [77092251; 42820260]; [36247554; 72923482]; [39228188; 77001505]; [17947909; 84769370]; [76259525; 67425196]; [3695011; 33966579]; [4291914; 44863950]; [4858750; 60068553]; [85399066; 30197108]; [95236395; 29141862]; [53521624; 26054112]; [41425807; 43253975]; [39743495; 33534750]; [90744431; 50680860]; [48183919; 88699239]; [34447805; 34922638]; [86009208; 28931514]; [88873885; 88371746]; [48234918; 75915866]; [88780656; 93689721]; [8265591; 24679730]; [90905683; 79143177]; [96687145; 16443121]; [6184767; 26751816]; [48142074; 76377338]; [12984969; 71224720]; [55425390; 38846662]; [54381515; 31005119]; [2024659; 58876170]; [59812226; 3555784]; [67961609; 85145903]; [61926031; 24757827]; [91389965; 65832328]; [71127731; 7238795]; [70470354; 47409949]; [10599660; 69757135]; [97795984; 47452853]; [27014783; 72472146]; [62242999; 14445287]; [93169956; 61767121]; [1318795; 6633054]; [41854232; 83371739]; [59972106; 54525617]; [80274072; 50640849]; [58962778; 80187423]; [30139587; 94694566]; [58843222; 18490948]; [93459021; 20012262]; [55053281; 69031766]; [64759278; 70317403]; [98296154; 20132132]; [59386867; 86319952]; [49639941; 52460822]; [82866839; 20045982]; [98053589; 19139858]; [75816357; 82676482]; [710379; 77213393]; [32562279; 64029810]; [28940634; 9468285]; [3649085; 23133686]; [20964802; 12416283]; [65998470; 30211731]; [70029174; 11988140]; [44662613; 31753992]; [25997511; 75630024]; [67183301; 56676167]; [97500267; 46400170]; [91173888; 54902242]; [7770654; 82356313]; [40741538; 14162608]; [80065633; 20758832]; [16501751; 13298613]; [3718607; 19510244]; [39860534; 90888927]; [44989860; 90011937]; [21604979; 52200618]; [76439027; 8866933]; [29817677; 52247651]; [1325292; 77365071]; [68851480; 27544875]; [95193251; 59643764]; [99142784; 30358156]; [12254375; 86032244]; [45313781; 67810275]; [63095617; 48892215]; [51113422; 78371276]; [1376439; 15133002]; [53339613; 41228881]; [18915389; 47927863]; [55786652; 23820254]; [86627895; 22320137]; [25784615; 35035512]; [99290078; 51950438]; [61115654; 28981700]; [68574443; 82918555]; [83844958; 58002761]; [27457506; 47272699]; [80029253; 70090962]; [8153366; 49407953]; [79108012; 25217293]; [79755764; 68217735]; [1265353; 70461294]; [55937345; 52240442]; [82386184; 94744568]; [21222910; 38571009]; [68200011; 50231475]; [53907713; 86312375]; [47621846; 75970690]; [34423058; 67932824]; [20253971; 35728509]; [10910637; 54912154]; [88829993; 72123463]; [10512407; 25959039]; [51999893; 872581]; [3963578; 15670598]; [29907174; 12271616]; [39600750; 5711402]; [95475448; 48780598]; [16802032; 16076527]; [49170020; 22765124]; [63248792; 49348676]; [3734369; 49403921]; [76830460; 89432449]; [66371223; 87284650]; [20814615; 94297686]; [93419733; 85094583]; [58907672; 11776975]; [43440856; 7702294]; [85021745; 43490967]; [60544320; 37720897]; [14344135; 47778642]; [84303846; 57029512]; [40740726; 7351010]; [93064833; 6310517]; [64868544; 54279065]; [89835581; 92288433]; [2454391; 978482]; [65803113; 84558654]; [6857807; 65999345]; [84364477; 99660931]; [51894659; 68084042]; [78324367; 73051504]; [2857297; 78283392]; [86379669; 94291588]; [90534645; 43026904]; [25162998; 23880732]; [66916033; 78903124]; [10640119; 43251337]; [22426295; 62300908]; [11560314; 44165905]; [63748855; 83015585]; [62024217; 54290712]; [88796555; 84564710]; [21572652; 58646446]; [69925821; 64340219]; [27281022; 56866562]; [69304094; 92420279]; [27852161; 11661572]; [3990494; 28542327]; [38376732; 73944761]; [38092953; 49876236]; [6245812; 3527463]; [90541742; 43399242]; [55360600; 23923454]; [77607810; 57619231]; [90239054; 650225]; [13858705; 26658882]; [88243752; 69554425]; [78162558; 87960026]; [83312128; 39979499]; [60373420; 38696611]; [90144947; 4415954]; [1043383; 39572331]; [73600947; 48277413]; [73323726; 99964730]; [36412994; 22314000]; [3704622; 17940947]; [5926635; 36286467]; [86203887; 46050741]; [94991592; 41712080]; [61835376; 54303147]; [84586142; 42945612]; [628664; 14936856]; [8150380; 1540867]; [25111873; 11161209]; [48451169; 14331649]; [74543241; 98669190]; [19111767; 67563228]; [28818933; 97115843]; [10467218; 66900072]; [56992086; 53090329]; [79909522; 57384748]; [9926770; 61639851]; [83938101; 71682041]; [2537429; 78916483]; [68934148; 54199105]; [81672397; 96876524]; [16024993; 71928741]; [20583367; 68464485]; [79379721; 9768666]; [37944703; 79541801]; [19024414; 87384162]; [66852874; 73740031]; [96177499; 67765258]; [31199464; 43432399]; [3508733; 39502444]; [33705608; 74914834]; [46479439; 11358298]; [25485159; 90591407]; [20399093; 93462483]; [1650116; 42041913]; [44961328; 10542733]; [6126768; 52756289]; [66045432; 9033201]; [58834340; 24101763]; [83705599; 3797833]; [88583587; 91626983]; [76198194; 58990864]; [74219148; 18322614]; [6632537; 6567075]; [31283612; 14788753]; [79972337; 8766908]; [31463165; 9676322]; [61866682; 58685850]; [44352145; 45713486]; [62360633; 13219335]; [43766259; 5834385]; [88810076; 85216823]; [15130733; 54565541]; [40165373; 50523029]; [90067239; 1467643]; [90442889; 695568]; [54457360; 28529263]; [14937404; 51856266]; [54153119; 86824746]; [12032120; 31769628]; [42858168; 58174060]; [35338524; 61091651]; [11295798; 37748548]; [85316778; 26953376]; [85831030; 84532236]; [87907158; 83063071]; [97236463; 29427940]; [29094685; 46146847]; [95855656; 39690480]; [85621328; 18504773]; [76255673; 37540455]; [94541646; 83445667]; [88778721; 51877886]; [63802029; 33866212]; [38236429; 79825575]; [61742450; 3410515]; [3506879; 40474938]; [90159044; 4947252]; [20209846; 31979046]; [4369758; 92546194]; [80780046; 14942471]; [34983097; 92807877]; [16438187; 98037809]; [88950280; 24917811]; [76904533; 27942449]; [50641017; 84929087]; [64008971; 16495400]; [88330485; 50155544]; [71590306; 14842614]; [97680403; 10091290]; [98483203; 89025606]; [22345290; 25012142]; [1171879; 1639490]; [29064234; 53971839]; [75379062; 2396049]; [9939956; 69156803]; [36494415; 93078864]; [863203; 33907456]; [81404471; 26494639]; [83035913; 70114114]; [75340973; 72087964]; [18308102; 75952114]; [81359411; 57538135]; [59126973; 47151480]; [21041924; 90396269]; [32299444; 32327532]; [70327892; 13122829]; [56513898; 15032193]; [60769742; 14621781]; [47931244; 7642850]; [32104914; 59736303]; [67350772; 78405571]; [7839163; 77009433]; [40036804; 38716126]; [79856911; 87131957]; [61526882; 31763872]; [20876970; 80332738]; [80214375; 26647798]; [64965437; 77043864]; [18321786; 48055272]; [85958609; 78177854]; [17120578; 95928118]; [49072878; 92025164]; [18590755; 73643370]; [74389874; 52945580]; [44659668; 51381115]; [43338954; 99321803]; [45067996; 68766141]; [68198015; 92217690]; [2263465; 72418456]; [95119190; 61026743]; [49978192; 80874983]; [5361585; 20413605]; [93690448; 71910115]; [37479582; 97396934]; [31622795; 33752239]; [41609476; 31015984]; [80173330; 50952226]; [47990735; 1116581]; [4582126; 25184371]; [59591848; 75535000]; [55194110; 15946532]; [34593371; 97460543]; [88168679; 54530162]; [56647057; 18630028]; [79088096; 94700888]; [66650175; 24560833]; [35397250; 16305452]; [82730298; 23196234]; [65692049; 82558359]; [86202158; 35805389]; [58814081; 29592932]; [55990278; 14958637]; [65859198; 94336241]; [64901687; 77327355]; [66311588; 44386957]; [81421851; 13637917]; [10492305; 99002399]; [34373367; 22971209]; [71867130; 41129790]; [5834411; 43137813]; [35407919; 28238588]; [31450183; 51385920]; [93301941; 9413786]; [67526476; 29050516]; [70830918; 59696776]; [735039; 8661012]; [10344864; 48876785]; [92313878; 41107959]; [90993086; 28951642]; [47508133; 55728383]; [63546529; 63080615]; [48313423; 4578720]; [58510349; 49672653]; [32441785; 56539828]; [49128408; 61389410]; [10114989; 20151327]; [65069189; 81577104]; [34594602; 93037438]; [62440725; 55560029]; [46992270; 28302809]; [14170677; 22089429]; [28791203; 96322191]; [64284110; 48501089]; [76247731; 71951030]; [44203130; 67359832]; [76432904; 46023595]; [88371074; 56638153]; [44654050; 61461321]; [94277640; 83734996]; [27318963; 86611877]; [77211738; 56574902]; [28588263; 47140155]; [45454465; 51753857]; [57710358; 8886450]; [57040609; 56489939]; [89710432; 92001955]; [16011827; 1609470]; [70019176; 53983126]; [46776018; 9916974]; [78013159; 84247724]; [49371060; 76230698]; [66715735; 19648644]; [61528107; 16815734]; [57266282; 67908434]; [18525633; 96401420]; [79357193; 51061434]; [51407192; 78572172]; [67771709; 11273928]; [26498957; 42945903]; [89870922; 47770750]; [38869780; 22409141]; [97452193; 11218274]; [11219314; 74098498]; [98886748; 96879725]; [70265370; 15720720]; [46316969; 40291668]; [54769907; 54671925]; [80943489; 64972022]; [39158339; 65131185]; [42568919; 61521766]; [40025201; 54828238]; [45154945; 53838517]; [33696675; 25079182]; [85083884; 97922810]; [11435122; 58840487]; [90420107; 28852999]; [72839952; 19011744]; [51001903; 56116414]; [99838933; 73406366]; [59806309; 94406904]; [67319621; 4638344]; [33871849; 76537464]; [13740459; 30836534]; [26761068; 60552297]; [44794400; 74354944]; [49537912; 90602721]; [92328840; 33507571]; [2312078; 23529867]; [16080718; 73278709]; [83200137; 14582939]; [2755373; 63307401]; [26862223; 60245148]; [95688195; 89725383]; [17288993; 97658244]; [43023425; 58739851]; [50830546; 15667063]; [84347015; 48236956]; [1549646; 32040013]; [77072056; 27728583]; [64705175; 16465426]; [88079702; 99736415]; [58069839; 9078579]; [21360354; 1229490]; [5261150; 51799129]; [50608574; 92936479]; [9829505; 58694484]; [10904915; 97179974]; [38512132; 3247815]; [60215178; 85001491]; [33708371; 98963205]; [54358490; 68427190]; [85355524; 57660022]; [1910017; 67322678]; [36400027; 74090016]; [2453983; 37692381]; [28059559; 40292394]; [93666665; 90237237]; [20995536; 97866080]; [16060821; 28233105]; [76712388; 66031819]; [5560470; 75196884]; [40572048; 39684106]; [31172431; 58633106]; [5656651; 63099507]; [54033301; 95511163]; [95569209; 35706022]; [60963753; 5166277]; [5208678; 14555270]; [35366347; 35832295]; [75822963; 10117005]; [11508349; 75315243]; [30263577; 70448931]; [24513104; 87386171]; [70680826; 38032]; [647472; 5197666]; [42504790; 64561469]; [57040184; 39640548]; [1504602; 52443390]; [57460307; 84159086]; [4890056; 50106129]; [7108660; 67802635]; [12780062; 12796280]; [45164218; 29259640]; [80459066; 7909793]; [23748664; 16334674]; [65074015; 22858570]; [62996730; 25048907]; [56009251; 97024714]; [98563611; 39742722]; [49452350; 16164318]; [26622527; 30198852]; [78297444; 62317923]; [81476661; 2904240]; [59460441; 45328932]; [87977698; 99448076]; [52084961; 13399867]; [89870811; 44900696]; [45864098; 84957829]; [46352149; 24299885]; [97739889; 71291479]; [98117489; 67804716]; [36367697; 76662148]; [38677665; 3950518]; [79593416; 67264812]; [97136286; 70275715]; [87132431; 68570409]; [97402105; 21265421]; [75067882; 19145469]; [4852423; 74494334]; [10760385; 70821294]; [60751245; 16658065]; [68162795; 69881965]; [24696334; 30303787]; [27926881; 38810159]; [63216776; 8075460]; [76590421; 11490649]; [23226362; 37718481]; [19851298; 85946859]; [74327037; 94101406]; [96332299; 18277528]; [7814056; 83311266]; [59016683; 34709118]; [44848373; 28931359]; [99011511; 24295901]; [98276333; 98147167]; [89863112; 86923229]; [20277886; 38084381]; [64941723; 65410831]; [57438532; 96630085]; [16867620; 98875661]; [42372977; 54195593]; [96891903; 46083619]; [56788687; 69264047]; [53481379; 23514404]; [97417026; 31349770]; [15690990; 75951183]; [51855630; 31026822]; [60927643; 21929827]; [51629188; 43601564]; [97657656; 80663317]; [4545303; 75441043]; [79295447; 8336207]; [83619267; 51480343]; [32170481; 31298214]; [26946128; 86070690]; [46122930; 99978499]; [43264525; 35218914]; [77831339; 58776380]; [38531643; 5506327]; [21887155; 42982424]; [35134706; 76609905]; [94417829; 22040794]; [98657244; 80912251]; [35971203; 18248100]; [49080440; 49752985]; [43797979; 76365630]; [35203328; 32269382]; [77909638; 31120335]; [1339067; 23832813]; [85414325; 89024598]; [6845802; 25919271]; [43717501; 52555640]; [20838418; 19498171]; [42757264; 26861437]; [1458602; 68544613]; [22986101; 643906]; [61010592; 517906]; [75944202; 32030752]; [50891806; 57487676]; [39706100; 83382515]; [85465447; 24942329]; [99428381; 73271407]; [61234302; 88597146]; [907867; 4656465]; [62961925; 72521039]; [42410186; 86618280]; [54711568; 16199662]; [7183257; 74493791]; [54896707; 12568564]; [69311659; 86847523]; [89044693; 78037234]; [92514673; 1443125]; [13941737; 42254916]; [26328027; 97796850]; [72146547; 41815383]; [89724550; 34742804]; [79182702; 27897283]; [24678563; 55032785]; [79157504; 53508906]; [52015251; 18299257]; [14156156; 50091243]; [1801147; 16214444]; [53086480; 98797351]; [97282672; 43786197]; [95284176; 35165232]; [62048947; 2540175]; [68045521; 90005477]; [55483894; 99503147]; [95783425; 21649080]; [65443936; 76933471]; [36377480; 98274795]; [77203992; 81495390]; [32849035; 27411461]; [31666147; 90007647]; [95114259; 86434696]; [164708; 51885970]; [78586900; 16263573]; [58214266; 49271068]; [95223974; 21586974]; [54649173; 2999609]; [33201594; 21149164]; [54454235; 80336394]; [35935197; 94614795]; [33121317; 57386914]; [21930609; 33141218]; [3337401; 28137326]; [24326728; 41647074]; [98099444; 22863194]; [7885774; 1998148]; [22334581; 91488455]; [66293468; 49033570]; [95506286; 47183119]; [14554301; 39256180]; [3332186; 13932259]; [63750085; 4340892]; [30626785; 85062414]; [58510339; 25125361]; [78738890; 76920801]; [2553894; 13743738]; [30712267; 79212427]; [49584234; 88157161]; [9788182; 60976101]; [5931891; 3454455]; [93024949; 54031117]; [21629046; 87658958]; [42768816; 93455497]; [74871461; 31308260]; [72908761; 63336722]; [85689179; 94106940]; [89394948; 96340546]; [25238792; 94932291]; [51741943; 46265674]; [21629289; 28692380]; [15405151; 12445483]; [28899849; 87725667]; [98344653; 58754463]; [16951324; 22013072]; [82793835; 85456831]; [6849118; 64995918]; [35578095; 81019656]; [15449763; 38814937]; [4206114; 55790771]; [14567973; 9328279]; [38002137; 12188366]; [86231947; 99916743]; [44005536; 64164366]; [25550723; 29847119]; [91472568; 88969184]; [16391059; 24234908]; [61726468; 14170267]; [60693503; 5725297]; [43956030; 67222640]; [64757923; 22556958]; [31092194; 52728122]; [16031416; 16673871]; [35371191; 71850622]; [73852368; 19610342]; [70982351; 8585566]; [61016514; 30309754]; [3092968; 91917699]; [13799396; 69416537]; [44490408; 81259990]; [84830649; 41567774]; [43715342; 1862317]; [96003373; 73757837]; [52694758; 98868313]; [97149482; 26476648]; [62880072; 74117895]; [38958809; 14888611]; [7743602; 80283979]; [29960606; 13364811]; [69723803; 3089415]; [60582839; 6723302]; [72751462; 25885823]; [85200564; 37263740]; [70590449; 35974848]; [80013801; 10568773]; [50941932; 13230502]; [78948897; 18888763]; [7893646; 91480918]; [59045044; 41925477]; [40296770; 95247502]; [92830321; 35121513]; [14130447; 16913309]; [24911807; 96077211]; [80089644; 76992474]; [20266300; 46141253]; [48247419; 3610458]; [17233179; 74610913]; [28629589; 97116162]; [19200274; 33302454]; [85035275; 91564560]; [75358995; 39397377]; [26622941; 21952519]; [23517970; 44082416]; [81704783; 68735868]; [7023418; 95513608]; [79005486; 73344558]; [71347978; 78174114]; [92326089; 1118412]; [15499618; 25989162]; [49841430; 75528010]; [76668144; 59376520]; [43742238; 14563468]; [71283911; 54238966]; [9698405; 22747410]; [50273201; 14038178]; [37510268; 95070986]; [71183984; 83253867]; [82058654; 94048517]; [8550435; 30832668]; [90098735; 85620328]; [93079086; 55666079]; [18280045; 3549450]; [70669412; 72942953]; [3559009; 90626910]; [60190449; 96573671]; [95780137; 94601625]; [42402224; 40949014]; [25497164; 19984446]; [61296749; 15077058]; [96561270; 38383182]; [12259527; 69408820]; [53174190; 55070885]; [73937001; 6243178]; [63772758; 43103992]; [76196102; 8355915]; [51736683; 50175144]; [37253343; 67690223]; [64250883; 7973091]; [85845399; 86882078]; [36804900; 28064606]; [20356832; 90797015]; [52442896; 90729446]; [23404960; 38119003]; [80872107; 19250537]; [88135146; 55110427]; [7161321; 54361202]; [24999045; 55263022]; [78941228; 9345777]; [17709556; 19653986]; [64927915; 38655386]; [7546901; 28302975]; [96139830; 84314100]; [63852812; 20866576]; [29693087; 6448671]; [75207452; 97863081]; [16787153; 35821319]; [18051788; 94346241]; [70146652; 37699421]; [84237747; 42070119]; [12772605; 10913639]; [21294033; 22733741]; [59086568; 97166666]; [1258505; 63905542]; [51890154; 82563545]; [4563998; 95781593]; [68486474; 8974136]; [51599811; 59304721]; [76832781; 53346543]; [72228039; 45024947]; [2404112; 17140614]; [27920063; 11919728]; [82785405; 30642448]; [96610848; 11792422]; [87870101; 11895486]; [50703148; 38295084]; [48428799; 35001055]; [93187905; 7189885]; [90291433; 76319861]; [77518839; 80716396]; [40866877; 12573195]; [41511787; 14852855]; [75628926; 57019477]; [52939680; 57258658]; [33562773; 48246370]; [90556492; 60922345]; [30298629; 96724726]; [6721741; 94081639]; [30919657; 31691444]; [52001355; 91373024]; [1527705; 94512832]; [7878841; 89955661]; [38857654; 4264947]; [99388316; 76715778]; [71514165; 27253247]; [47984828; 95673305]; [92736847; 61844498]; [40547194; 18506333]; [43226143; 24490068]; [1959184; 96528736]; [56411544; 12367707]; [6181497; 46676504]; [83881659; 77055869]; [24305982; 64108657]; [40377434; 1420810]; [58256655; 24807117]; [38788842; 75400423]; [42169152; 48531447]; [40646975; 2982773]; [56892694; 85451394]; [71758059; 90037219]; [50985081; 70204381]; [5015325; 56153389]; [52295649; 3417489]; [27742024; 40643805]; [55067141; 89820395]; [88977075; 38441045]; [96942786; 28359332]; [36746944; 15182160]; [19588073; 48541531]; [64941329; 86078597]; [15213752; 48265468]; [3838171; 81486613]; [40434401; 69832058]; [87779256; 96518482]; [52541903; 12721524]; [69817502; 43992806]; [54261336; 36381986]; [5694941; 44135400]; [39243632; 38215858]; [49522338; 79464598]; [68360813; 97767100]; [33596555; 28423808]; [58638681; 44505941]; [72733462; 59341662]; [90247072; 66969752]; [18195227; 50741936]; [96304431; 57541487]; [92876291; 56385779]; [24155139; 60650340]; [10624774; 45578971]; [81263302; 85014513]; [27151773; 21286368]; [86275212; 99625091]; [43232124; 61295849]; [27851286; 29098898]; [22679345; 62983457]; [34382231; 14997709]; [79931922; 96141071]; [75255514; 80802391]; [47160333; 20877873]; [54404707; 97162904]; [1384706; 5381411]; [95815794; 73948375]; [27739594; 14389136]; [33109292; 1683653]; [69720330; 25446712]; [49210089; 73737637]; [78168032; 25034231]; [35603146; 54978852]; [95946695; 86509092]; [54498627; 40114674]; [35972599; 19253593]; [98919755; 17584874]; [37853653; 33907111]; [7397007; 72517765]; [58629768; 78582738]; [33061448; 52634246]; [81526123; 17768768]; [86612510; 35796951]; [39689620; 37941899]; [40324673; 20228134]; [58770487; 55237444]; [9207602; 72000620]; [52655812; 67772361]; [23367422; 34024734]; [23255656; 40470588]; [15911437; 44366615]; [63010552; 2375152]; [60394912; 5637302]; [70531668; 83382752]; [71931370; 45235395]; [87804950; 96976679]; [59658766; 55569517]; [34406389; 76651807]; [52188770; 59864288]; [55426186; 34363198]; [15806387; 57288546]; [94493514; 27779659]; [569754; 74129688]; [98570278; 98329606]; [97958259; 80609256]; [31026180; 40951813]; [28493705; 75865064]; [2905959; 6331478]; [57762672; 37982753]; [7673551; 7200405]; [51296165; 712199]; [73478276; 16536604]; [87604125; 65857835]; [92457001; 47888]; [61024405; 2657790]; [34794107; 24295707]; [52733840; 74603469]; [3033693; 8795346]; [89739766; 20327034]; [92166785; 51164707]; [40485203; 64170499]; [33416283; 79205636]; [11945850; 15996188]; [12967241; 56570105]; [49348396; 84604692]; [85384477; 64649082]; [33773788; 48846821]; [45397719; 1978974]; [89354712; 67313123]; [61187562; 28399476]; [62165434; 63449143]; [91079224; 49812462]; [93618836; 13415453]; [85724088; 46878853]; [7396512; 90562221]; [19133703; 37074409]; [48821720; 52617941]; [15794086; 97000936]; [83641913; 16730562]; [48718421; 24816036]; [97516736; 39360398]; [60314067; 47639570]; [96926293; 20623336]; [14230438; 28434984]; [17108500; 22773401]; [21598984; 60462466]; [70718213; 87078663]; [42741364; 70676600]; [12573769; 45679503]; [85102473; 37954608]; [58149236; 91790095]; [82173166; 85566928]; [49136971; 24980944]; [92876137; 60726792]; [88066707; 53971772]; [38360685; 78570745]; [34148456; 53453256]; [38532647; 29288421]; [16791874; 5768459]; [75697015; 88573177]; [91273315; 79161011]; [7946322; 99412353]; [1770749; 60836436]; [53199917; 97821690]; [53117835; 35855794]; [45745004; 10821832]; [68734631; 88778690]; [39170181; 65012506]; [81500063; 36390743]; [13797027; 72215190]; [26019221; 84147821]; [86727901; 6390489]; [42489282; 26886416]; [10183734; 16732597]; [39856634; 52360052]; [41608187; 81658144]; [8709031; 81309801]; [95012324; 38487866]; [45667017; 46091967]; [47380401; 19731523]; [16996435; 58356635]; [64752390; 68054937]; [12921537; 66912355]; [70386206; 62054900]; [96545525; 21926280]; [20837454; 21531403]; [47829831; 79356608]; [50681785; 88846431]; [10517675; 73823586]; [86456840; 5806319]; [47923200; 82130870]; [43799832; 7374786]; [89592991; 42705608]; [38665993; 83614925]; [16598324; 45689804]; [85079996; 41229627]; [45163859; 64811586]; [78398367; 63920164]; [53256438; 78692142]; [63039353; 5175217]; [11106528; 48082634]; [58229912; 30801251]; [84938997; 48807952]; [58828111; 99535524]; [54919029; 91188578]; [38072262; 99864272]; [31163086; 49127012]; [44019470; 95263718]; [10980714; 83511562]; [4268441; 95029900]; [46085363; 14743522]; [33796353; 52216854]; [48611950; 52463053]; [62219656; 86965446]; [66869362; 38129600]; [83276450; 65944566]; [86455700; 252409]; [30294540; 23528800]; [15541804; 54146490]; [6753314; 94415320]; [87647250; 712353]; [94358844; 45730866]; [94739226; 42883278]; [43960034; 81668610]; [74256303; 54937484]; [85409724; 89863102]; [25317000; 13232378]; [37879361; 57805555]; [32848627; 16208296]; [72166805; 40742433]; [95511061; 94849000]; [96833310; 13829177]; [60732301; 23821726]; [99000218; 73765300]; [61944861; 69827992]; [27617959; 51957876]; [33329461; 19061717]; [81883903; 48570441]; [54184445; 19494174]; [68858079; 39151644]; [54072769; 64016023]; [17907661; 44570782]; [85402036; 73205106]; [20418146; 96900134]; [616809; 48356715]; [49897782; 45847318]; [3767797; 98095717]; [77326633; 2104325]; [88236916; 57615895]; [99881972; 12964156]; [70025656; 61558028]; [55196836; 61389255]; [90746950; 2814007]; [50498902; 8685775]; [95385034; 55265116]; [14051430; 47809675]; [70106368; 67538475]; [13657114; 5850773]; [41842661; 43067383]; [36811536; 62507408]; [35532493; 64978350]; [30667683; 69238009]; [57813494; 35306048]; [89694009; 50879145]; [40472690; 69951445]; [98621231; 6785674]; [63390953; 73475521]; [41069922; 98394387]; [10564849; 19696510]; [54395192; 59790934]; [42780934; 29799944]; [55697902; 11634105]; [65505846; 18723375]; [70834804; 46193141]; [13686271; 92678117]; [19259839; 87538806]; [93004538; 2461351]; [2171775; 33702030]; [72317763; 20224043]; [3414018; 63130749]; [73761565; 94353740]; [26860423; 75350098]; [24369593; 74357063]; [75884568; 99035880]; [96512075; 27347252]; [85384171; 15126395]; [26971241; 19238208]; [50118277; 21356279]; [49065826; 87720071]; [43367974; 67590995]; [64795622; 24906498]; [56571887; 94712126]; [23127499; 92307783]; [44066168; 82153244]; [80915666; 31669917]; [36941029; 35156370]; [31727414; 41746901]; [89011581; 51074665]; [15571592; 95922462]; [40749633; 89219051]; [8677057; 17089427]; [49616486; 46976852]; [88331855; 26135684]; [90864610; 17341680]; [52731219; 11518706]; [55209750; 31962764]; [63138654; 45854724]; [11118456; 71108935]; [66583757; 8981403]; [16664720; 48068092]; [85649426; 27162333]; [75551700; 25385784]; [63521528; 8483212]; [43123014; 49566331]; [77646581; 11499340]; [60378393; 9449812]; [89012271; 91863445]; [63065772; 58219028]; [35962248; 90026961]; [97006401; 46226706]; [88239412; 24294035]; [60891730; 37128652]; [11968887; 21598100]; [51503182; 32885004]; [16389151; 4586626]; [1801656; 88970493]; [81905805; 31897383]; [97380512; 54846926]; [29929314; 15627393]; [51759583; 34965602]; [79522435; 11609103]; [57515455; 69766316]; [47504299; 99715976]; [4936519; 88767368]; [61429072; 44389374]; [16361748; 40490066]; [23074542; 56841333]; [88558290; 22235632]; [71583604; 46723960]; [68719553; 30900042]; [1806383; 6591415]; [86727246; 65089205]; [87465153; 89609295]; [10305535; 81940609]; [11352262; 97806792]; [95965357; 37397686]; [98437841; 76428017]; [56512074; 92320698]; [59939910; 49692992]; [49371613; 48790584]; [75485252; 22725386]; [91769054; 51773156]; [20688620; 28889571]; [86567078; 20126896]; [9215984; 36030496]; [29767371; 72629590]; [11644955; 91813127]; [1299655; 86318063]; [70346399; 96882364]; [68067760; 38298580]; [85824940; 6186014]; [16053458; 39382182]; [8278876; 7576455]; [14695514; 38101008]; [64701824; 63507645]; [53766645; 26002011]; [48772555; 96044115]; [96639780; 77664079]; [65685139; 12334590]; [23987741; 58317869]; [33269282; 86644600]; [12080835; 56685046]; [79097143; 77436652]; [28033021; 83629653]; [19241036; 12905687]; [73501417; 8189965]; [77333611; 33430257]; [40879268; 48739544]; [29844677; 38525118]; [31429318; 42244483]; [29672773; 63920662]; [63966035; 67973841]; [24594036; 16219540]; [80111935; 56044814]; [43203466; 86251521]; [15120077; 84145713]; [96476585; 64558825]; [91616715; 71454741]; [49642398; 4218946]; [90303103; 17962359]; [63016305; 95381480]; [24732581; 23775860]; [73524827; 39451638]; [36028078; 69601922]; [55414553; 13111259]; [12204949; 58893703]; [88426206; 95608403]; [2626729; 86342234]; [57350022; 31131656]; [910375; 43479192]; [8108756; 35882382]; [3654692; 42051340]; [22434761; 68913924]; [57376464; 43440755]; [96667957; 83039655]; [73256667; 99472281]; [34503982; 55026690]; [36069261; 98362859]; [57880821; 61374605]; [67754094; 24842758]; [80303170; 15019490]; [47101745; 70112582]; [36300059; 541846]; [54516803; 30343143]; [86230776; 48985117]; [9004067; 60365873]; [58461497; 63176441]; [67253626; 98356602]; [76839909; 39737667]; [89566194; 19523641]; [46893297; 11963494]; [93209131; 57399519]; [98186459; 60752939]; [67758163; 12693475]; [11896743; 89577746]; [13700362; 32295877]; [39204120; 874782]; [88520493; 79129631]; [20912443; 41704051]; [2151148; 49369796]; [15484072; 86311805]; [53979762; 97784670]; [56769387; 46870202]; [18647216; 63139256]; [41479340; 60219293]; [57365534; 2945097]; [29695691; 91100512]; [27987550; 4610961]; [29862965; 60854627]; [80846397; 59806464]; [50202206; 28692635]; [85750224; 14006982]; [98960875; 72831573]; [66311716; 79832654]; [79867788; 26346643]; [68096567; 47887206]; [7441757; 69483924]; [15776442; 62798230]; [78926548; 53079181]; [56999784; 11925298]; [30992878; 51392647]; [66092538; 29664565]; [83904065; 1319019]; [6209493; 33235526]; [22823316; 36667448]; [65855369; 3678394]; [30714189; 68105379]; [92231191; 88674826]; [2946965; 71817729]; [21032422; 23850058]; [62114979; 42171790]; [55927062; 77080359]; [83090612; 88808889]; [43817066; 17145107]; [55283708; 4374353]; [44813803; 8894507]; [34120430; 25608030]; [69426004; 5034749]; [86672530; 44150927]; [98571064; 77534027]; [53057231; 39974017]; [81199507; 18589778]; [69934714; 93834085]; [61346036; 62574549]; [39352080; 30714629]; [55330569; 98399619]; [89604331; 71216408]; [24179261; 51993331]; [87790833; 48723315]; [4370284; 60741962]; [49409966; 78012739]; [91917827; 75974097]; [44952432; 54722299]; [42846068; 63579548]; [59532719; 46512283]; [93131173; 73526055]; [91077034; 3676498]; [59738106; 83351530]; [84807162; 88234315]; [16035660; 27027266]; [14433819; 36585346]; [1561662; 88390195]; [81655209; 74337687]; [1938452; 78362155]; [55351317; 41776297]; [79095395; 74973548]; [77922522; 87429093]; [68635407; 14379445]; [63073184; 99025839]; [54834373; 7276559]; [90808833; 72058390]; [4718106; 59212917]; [22900135; 98180822]; [80058101; 11137307]; [35186316; 11943004]; [44850514; 12458844]; [83215275; 89245429]; [92363774; 66658818]; [97673364; 31499921]; [16067182; 39250913]; [98642299; 5777659]; [66660637; 60968932]; [54544024; 49820908]; [87541827; 10991054]; [66635649; 27241726]; [51786390; 42047981]; [50075276; 80285539]; [45239737; 53214081]; [60054654; 71838507]; [87997867; 69334127]; [62398239; 16570814]; [16857458; 71724255]; [58422315; 54848286]; [275030; 42316997]; [73528214; 62205833]; [44635876; 1504111]; [44119038; 16992924]; [5817212; 37714655]; [7784953; 55448099]; [25183164; 35190569]; [77604720; 78841614]; [66499426; 47038373]; [25033369; 52154405]; [1440073; 68448556]; [69127139; 4755050]; [88481831; 33095413]; [58175709; 11399136]; [32108591; 50899387]; [40672466; 22896685]; [14010370; 45982143]; [73264935; 69826999]; [14179510; 57682766]; [32511098; 64032996]; [22853228; 42333283]; [48781285; 23127690]; [81656284; 43686664]; [61485941; 29739545]; [98280215; 16537526]; [68441837; 67213309]; [89492868; 8167677]; [60486222; 39371498]; [70092448; 92967857]; [88817318; 63270730]; [86373519; 95318541]; [28696160; 25077473]; [40814587; 88414161]; [24140251; 96944883]; [39442169; 88261249]; [39254037; 92491735]; [12226666; 62551589]; [66078752; 43926542]; [80958877; 30262523]; [61939634; 89422907]; [96804647; 57713605]; [75312805; 66750315]; [43917800; 46989295]; [70391585; 89062176]; [40787842; 48502410]; [38087567; 18049403]; [56300357; 24263885]; [98436361; 12546551]; [60121631; 78991055]; [72756003; 62629279]; [46281391; 18287215]; [28572865; 57774499]; [44325636; 75798267]; [85739519; 849030]; [33644025; 39353949]; [45144695; 69400684]; [97312149; 68080197]; [35969472; 12531626]; [43394509; 71888753]; [13173142; 23834449]; [66068365; 88571743]; [13535453; 51818393]; [67008337; 26592629]; [47079876; 57976721]; [35550697; 58005222]; [47613869; 97220964]; [13893191; 18516200]; [3843245; 20669499]; [75903256; 14871788]; [48331363; 40653065]; [43990439; 29843915]; [4228281; 16133564]; [95347379; 9382212]; [69148104; 35059148]; [55029978; 57519730]; [43966028; 65820722]; [79759183; 29317701]; [29748677; 93251563]; [78793568; 77608716]; [78414689; 94551544]; [8562745; 37793982]; [75293827; 52350745]; [18003653; 34610348]; [57960338; 18926451]; [37476749; 54995025]; [49246764; 36146188]; [35664291; 42825541]; [75932544; 48899175]; [25222271; 88124036]; [21872620; 5840162]; [6117749; 81513933]; [17505026; 91249356]; [64631985; 86748281]; [64504222; 39911335]; [57274413; 27569202]; [98889599; 46081715]; [93320428; 89896592]; [41619777; 50831339]; [8222495; 86893923]; [55169666; 86699974]; [89676741; 5286232]; [52771214; 87416982]; [43032210; 75330712]; [7357995; 65182025]; [19639060; 24572223]; [71322864; 92106217]; [91899626; 16021660]; [79307869; 45557413]; [78945798; 92781269]; [27903638; 59488377]; [68884691; 25743458]; [95974491; 76347043]; [77235428; 90565698]; [77464580; 47540531]; [45341845; 64868029]; [2147310; 81037410]; [87217175; 19855775]; [72849167; 64997442]; [74366560; 49940464]; [70324243; 69026275]; [46602510; 87209738]; [32766473; 19259560]; [44733064; 78494526]; [32791532; 71274814]; [26693801; 82810968]; [41730433; 57245826]; [6721018; 15865778]; [94990012; 68692544]; [32442835; 56851846]; [76706721; 64120570]; [62861854; 74439962]; [85836996; 52701997]; [84428345; 81131284]; [19752381; 68706792]; [92990686; 44366273]; [95735272; 84035791]; [14346396; 85403535]; [3105946; 61357429]; [97002860; 69622629]; [58150840; 65840385]; [74977999; 28338940]; [77480635; 58052789]; [21845787; 73480950]; [49124199; 79519850]; [27303961; 97304676]; [10504875; 56791700]; [31268747; 24407399]; [68984888; 75912058]; [67709334; 72536516]; [23151248; 93552549]; [381652; 81141125]; [95334092; 28405674]; [9833782; 22970081]; [86587098; 76111195]; [13022974; 20073819]; [23521464; 72325462]; [2243758; 71990896]; [80974545; 16605630]; [88109727; 17727734]; [49678785; 1769154]; [62680632; 79865500]; [28550132; 36339511]; [77763338; 90090755]; [17186939; 72222888]; [68607515; 60052392]; [40242490; 95620510]; [79249060; 92036899]; [7635587; 31778125]; [15252244; 71095416]; [42229824; 55863415]; [39553048; 73432994]; [795582; 66840034]; [9334366; 94379879]; [36542479; 78646581]; [26844223; 46793074]; [49952177; 79779820]; [92593968; 93215342]; [94392853; 88945853]; [33840795; 32337045]; [90661084; 39719039]; [79686032; 45091779]; [50298646; 94969240]; [67247601; 1902231]; [93771709; 39764526]; [9224191; 87875589]; [29559520; 46672951]; [823921; 29828294]; [22170212; 83981317]; [19294028; 45765052]; [54458256; 81280716]; [82453014; 42709801]; [76739687; 2367572]; [47226592; 29834056]; [14664532; 66679993]; [92512347; 80896531]; [52923419; 67530525]; [25583320; 76399445]; [48412425; 97666425]; [68775821; 71053496]; [98133327; 29463317]; [93454435; 97069050]; [61231100; 68083109]; [11745487; 52077380]; [60467315; 97246100]; [85167040; 41597058]; [7762487; 48866059]; [96310087; 23632117]; [30141227; 71478139]; [1343590; 88711326]; [18306817; 70643494]; [49555753; 3223418]; [85507178; 24311446]; [7395970; 4244022]; [67840734; 69431800]; [78113575; 19529372]; [42092109; 53432886]; [15027856; 35998582]; [20634955; 90295441]; [23257867; 67595378]; [29763055; 96808108]; [46288535; 71837423]; [60687492; 92834553]; [62068131; 31503188]; [72006904; 32907662]; [44923234; 28197264]; [68996443; 18743370]; [44633010; 49375792]; [73331706; 89934264]; [63436729; 5859259]; [94696459; 67595900]; [92017110; 16127322]; [26117279; 77623168]; [61077262; 30124061]; [47482328; 27667310]; [66001497; 65659052]; [44691400; 68808528]; [71500663; 69427126]; [80430532; 26794393]; [70776319; 35393095]; [53490618; 91302090]; [53578533; 59758171]; [77227861; 19361877]; [57259837; 70523893]; [21905849; 90502585]; [52002948; 63758010]; [3302154; 34578315]; [82686802; 96119673]; [96118358; 4176931]; [61557990; 55463012]; [15203860; 13726363]; [75327041; 96345990]; [41530151; 35675099]; [84415877; 67713231]; [96897540; 52315709]; [26244301; 87211282]; [50905934; 38323545]; [6792076; 96544986]; [3383774; 79682839]; [65046126; 60971327]; [65370545; 12630954]; [18876977; 32190967]; [44844982; 54725164]; [80812710; 34290165]; [38468925; 32176592]; [11182857; 58525205]; [61628303; 89576072]; [90278058; 5302662]; [82409512; 49816542]; [89667696; 84322901]; [2554833; 35523942]; [38800552; 55771349]; [87741618; 6213182]; [25464527; 18777062]; [53250096; 58772701]; [65889274; 30146190]; [37115849; 49179358]; [58935409; 90139649]; [93016856; 55429790]; [40533779; 25925964]; [6447946; 81367857]; [2437772; 66918884]; [95699961; 90267466]; [58108692; 27828500]; [62334580; 43036946]; [9372773; 71568436]; [16777531; 53266577]; [79253969; 815877]; [72580013; 55131570]; [8831681; 30591965]; [63918889; 83168865]; [59458911; 61600491]; [12831933; 12693905]; [44274878; 71832335]; [17182196; 70303870]; [52371406; 41093550]; [33207214; 93988835]; [87479144; 64772285]; [72072790; 94513504]; [76055167; 67225160]; [27183158; 78337554]; [55199636; 49107821]; [39172086; 15704552]; [22898441; 65320346]; [47600176; 32928538]; [18034800; 66156083]; [24444224; 29689149]; [8112862; 99776529]; [5018716; 13279922]; [27386169; 69029788]; [55314384; 28363436]; [7538794; 33148674]; [56094863; 94802671]; [69466084; 1136290]; [15868468; 23015108]; [96379164; 9322968]; [14867271; 17278418]; [61317686; 62328811]; [27834085; 53269871]; [52527547; 72435283]; [69102456; 66896821]; [33110648; 37404606]; [41965461; 14147524]; [36439586; 98345823]; [58438059; 88197650]; [23607887; 68421392]; [91254381; 14352846]; [26680918; 4344534]; [93239137; 53887732]; [28268470; 82081854]; [42782527; 95247122]; [97392741; 54662145]; [78575438; 94198781]; [64363954; 90297265]; [94950191; 19998069]; [98018961; 62606616]; [12143316; 6250579]; [22733806; 6649570]; [96880331; 55262107]; [99378643; 59405756]; [31782257; 27707927]; [16080239; 16968341]; [61514271; 37427540]; [70380162; 58171606]; [9534029; 90981567]; [24990389; 80436807]; [58483942; 60525635]; [60797; 78207299]; [24955925; 11437155]; [22708489; 70756664]; [33519663; 97937958]; [26649404; 91432550]; [8300935; 79897756]; [33317633; 42719806]; [11568357; 34769392]; [19477396; 12524561]; [39129145; 66967663]; [77379662; 25099855]; [36893261; 21004265]; [41261671; 85873870]; [25603191; 93674586]; [62907672; 52599643]; [48007149; 43118934]; [6631065; 32467388]; [2874372; 44200065]; [26081627; 98626638]; [61790582; 35665331]; [4504330; 55557879]; [34608391; 43565122]; [73439142; 23572425]; [90382288; 37374399]; [29706267; 693470]; [80217694; 45495128]; [1072245; 4553788]; [99923267; 11255718]; [35268060; 8447230]; [40931361; 49860239]; [51264622; 21083859]; [43795981; 7675403]; [29022327; 93338889]; [39527438; 65478417]; [59398423; 49185919]; [246742; 94643056]; [98442601; 73451251]; [32335640; 27962394]; [58776517; 82231482]; [7324636; 69889776]; [31582853; 80868814]; [11687792; 92726575]; [49901068; 8912402]; [18803497; 53002640]; [96199409; 61211872]; [61171419; 80219845]; [74246908; 55923109]; [44550679; 23965368]; [81777983; 37086060]; [84042812; 36921787]; [31384806; 57108009]; [5109517; 93409061]; [17032006; 37345045]; [43393110; 1627278]; [85025278; 33351167]; [56852467; 44366020]; [28166168; 66653839]; [19536085; 73741253]; [2457385; 66527575]; [67133799; 36544541]; [43528089; 23678098]; [55698453; 21523282]; [60829600; 65694237]; [81771473; 70053696]; [21303260; 58638242]; [97402126; 59019447]; [72355194; 27861204]; [19145873; 95841110]; [72753883; 20041612]; [64493983; 4323885]; [22683168; 35144225]; [21388202; 38670901]; [86229429; 20030197]; [36900807; 77646535]; [13128745; 31191427]; [64232589; 31006422]; [48111937; 48467454]; [41335847; 16961577]; [89321421; 73784600]; [94044739; 85274352]; [87589133; 52311780]; [64290937; 73912743]; [43597818; 99264987]; [34069688; 30113058]; [20935165; 75947196]; [71047219; 92455472]; [22134393; 13341577]; [54444718; 23021912]; [19816680; 13961874]; [28961776; 63311053]; [86678267; 44498404]; [78962114; 82754721]; [13439664; 87972060]; [79581419; 14194431]; [82272108; 84187882]; [3138333; 79269869]; [30834285; 2898497]; [23825413; 37848466]; [46536340; 73990392]; [93536557; 87213142]; [54684217; 91634351]; [2248212; 21662143]; [72831483; 36481066]; [55450632; 17262287]; [21031936; 19097343]; [6583499; 60452417]; [9399174; 81588766]; [69076896; 72499065]; [6718057; 8774463]; [7436539; 29785328]; [83297533; 40291110]; [45341910; 84874525]; [57469290; 26191889]; [38304730; 74916304]; [84858047; 96420658]; [1127404; 64186073]; [28084231; 18296724]; [15843634; 29013975]; [76371314; 51445461]; [204421; 24187225]; [99919636; 55284178]; [31454265; 91278238]; [9780348; 62922811]; [14790898; 90918461]; [11744450; 11554469]; [58847081; 89192731]; [89429241; 46439073]; [45562180; 89882814]; [97248654; 66803184]; [69926892; 13112681]; [5948104; 42667959]; [75134677; 4776198]; [25653274; 60393076]; [62517428; 62479462]; [56842687; 79274429]; [66545615; 85379460]; [42043618; 62846291]; [78087963; 34338137]; [97187958; 60962644]; [83923386; 10923486]; [38570436; 71773038]; [80541905; 71427287]; [33113094; 73924781]; [40085435; 23617833]; [18413028; 65418341]; [14592218; 88612987]; [34456447; 69991004]; [46368177; 69410658]; [35287288; 77408545]; [26192733; 3018199]; [83089433; 22053743]; [49305392; 11184259]; [4801333; 54487366]; [35754540; 32170980]; [85007292; 42006662]; [98255014; 90648751]; [86397236; 55289585]; [92819168; 6306314]; [8391077; 30407129]; [99662597; 55653125]; [92811733; 94080554]; [74431745; 99101702]; [67610308; 89319583]; [79347355; 90625036]; [81976987; 99854689]; [39912428; 8834859]; [57250971; 90099813]; [22143508; 2212079]; [81779672; 37038341]; [20713041; 46475780]; [65287945; 92190745]; [46845716; 72951480]; [37456175; 6646002]; [1472199; 25807748]; [24050599; 51653260]; [5015871; 69058889]; [37683378; 21744080]; [85578486; 69255470]; [48036379; 21626810]; [71273486; 14191821]; [37608170; 23504400]; [72208350; 15288599]; [2598114; 68036930]; [43211471; 91948673]; [65114193; 25715645]; [94678616; 42154019]; [51599588; 23027886]; [57770610; 36828391]; [21891300; 82257344]; [79869388; 78656804]; [84217172; 84612699]; [91058969; 24607664]; [6503612; 98880074]; [45925550; 2106354]; [61950115; 27220350]; [7151011; 17824670]; [18574172; 15793740]; [26458138; 6308985]; [40492129; 79656365]; [30066957; 81795773]; [28921988; 88590693]; [62958775; 59508062]; [29894250; 46732305]; [45300397; 87325366]; [13496722; 26011767]; [97425966; 70674107]; [60577704; 42311468]; [30177058; 98351631]; [4153802; 51738559]; [62509880; 46921413]; [2859991; 38111436]; [40773855; 58953911]; [67645578; 62345532]; [4430177; 20613625]; [61939932; 33127106]; [8707014; 19471236]; [23410227; 60768956]; [40014529; 37509261]; [17676795; 1940631]; [16829192; 26804695]; [83207117; 39943684]; [19510831; 23294964]; [91956911; 18392988]; [43015283; 67831187]; [75051962; 8079362]; [26109018; 79022944]; [74278926; 37055393]; [64931563; 44518775]; [87921563; 22087496]; [12905187; 57267851]; [38952199; 6705739]; [33437575; 58526277]; [56913177; 52870728]; [82639590; 11589973]; [1065933; 79266617]; [29520916; 73818489]; [76182194; 91891652]; [38036288; 54460230]; [21280336; 84064564]; [53612897; 13510053]; [94586842; 55300054]; [39072388; 73383565]; [31977652; 70338562]; [17052017; 71490165]; [67503318; 22180329]; [40664121; 83703819]; [99442645; 83496329]; [44479423; 69444512]; [51836876; 77988588]; [45004681; 64155910]; [90829967; 54950221]; [88177627; 68171885]; [19064339; 65328979]; [61533025; 43686154]; [60124990; 2278091]; [63982965; 41649105]; [86619021; 47134234]; [42457167; 67435509]; [53888697; 40615091]; [71844284; 51004812]; [80059593; 97407817]; [13982938; 3672492]; [59636024; 14927833]; [39689425; 48144794]; [22576918; 1643448]; [79103430; 6578850]; [51544636; 54055614]; [99060238; 96095616]; [32321040; 14452861]; [59318721; 6448853]; [28178941; 8559950]; [59132780; 18020797]; [11818731; 56268874]; [33917473; 21926492]; [17918742; 42507337]; [59713259; 57989279]; [64136370; 41439864]; [44410065; 87461892]; [52110735; 40852413]; [70951090; 78478863]; [54476668; 75538134]; [84603132; 17021210]; [63611614; 47631702]; [75867754; 36325696]; [9469464; 76082072]; [24026428; 19702414]; [91369663; 16420935]; [58831106; 12480680]; [5088727; 34195471]; [63264771; 23268766]; [98669609; 94836322]; [77814468; 71960543]; [9389389; 83045942]; [9520039; 87457518]; [19994802; 30538649]; [76852119; 97346788]; [37744962; 62793445]; [62172294; 3747174]; [90345993; 5783322]; [7185374; 38518114]; [40215105; 29796911]; [16837292; 76943934]; [2480397; 49496952]; [47726218; 99665023]; [78624967; 22308799]; [67965128; 55537580]; [82309100; 84544648]; [75719811; 28543522]; [75801305; 66359857]; [63972570; 95418219]; [14011718; 86866320]; [75183787; 47426140]; [73352864; 43982965]; [29972988; 43852149]; [58563165; 31179255]; [70472100; 7862033]; [64192558; 11819537]; [12364753; 94677022]; [1693957; 91046048]; [8218520; 14171552]; [46540291; 97576924]; [95351673; 78372102]; [96522988; 46815244]; [69052319; 22772127]; [41524951; 86149194]; [96206239; 30210603]; [39951626; 98134820]; [5096099; 41374965]; [95305657; 64494941]; [5398685; 49310331]; [45230323; 78078159]; [53507752; 86267935]; [51546953; 23473799]; [43816392; 21800748]; [67701848; 3127544]; [86712044; 29470425]; [3944051; 58928867]; [50431606; 95227061]; [47479188; 1017282]; [71209193; 60569049]; [1090475; 63423669]; [59537231; 70742428]; [937408; 39314245]; [36539878; 58918032]; [30288044; 46997481]; [33186628; 53310918]; [64702884; 56649732]; [41884953; 36156218]; [29213587; 70518922]; [98140283; 30038993]; [33249500; 10405077]; [73267058; 44673403]; [90990065; 43767500]; [13475425; 34381830]; [4642579; 64087184]; [48489010; 26179313]; [87670151; 62047586]; [71849422; 74619375]; [26394634; 94227880]; [13485658; 53975914]; [10186683; 4401426]; [79483409; 20942382]; [98375699; 68191229]; [97719807; 54109621]; [42521192; 9979646]; [9758380; 60574879]; [32854733; 71333047]; [24093061; 26597204]; [58075334; 75999067]; [41217435; 62948801]; [98083321; 30300065]; [23664208; 78449354]; [84969110; 59128622]; [58287441; 83049375]; [46701784; 1219288]; [97241858; 78887986]; [63534520; 8335975]; [12202364; 89375423]; [91829273; 37859103]; [96849369; 68093654]; [44249116; 47025886]; [56464779; 58009210]; [15603188; 80739535]; [67207775; 16273217]; [76331177; 62801832]; [15279824; 4792463]; [28788984; 72173068]; [21785336; 25617458]; [1274298; 71939622]; [50906895; 96978641]; [42400892; 27744358]; [54161897; 12869217]; [93153578; 4594086]; [91101738; 43687392]; [42371066; 5813557]; [91028909; 72925494]; [48386521; 17949352]; [88845637; 87044501]; [81854444; 44399639]; [44318803; 48283627]; [20888155; 46935856]; [23351860; 87573082]; [99588670; 89087655]; [35876905; 20270124]; [32353699; 285823]; [47480406; 692670]; [92002585; 81396839]; [15096176; 37560903]; [475492; 70573466]; [25705967; 61918196]; [47589995; 6229613]; [17718316; 87143206]; [49734752; 95450879]; [24771451; 95169157]; [22482856; 84072673]; [63569350; 26253560]; [65486785; 8000127]; [23452731; 99376942]; [42123461; 9319067]; [61485378; 62840534]; [1233982; 37773578]; [4528207; 95892182]; [27238267; 864862]; [54224340; 64490066]; [25540180; 97000747]; [76414231; 82481397]; [14341040; 98016205]; [37340754; 33739990]; [20974578; 47641925]; [46417967; 6826776]; [75637523; 83482159]; [8682893; 19887992]; [51931033; 66949635]; [44202554; 97237861]; [13041901; 69403191]; [11884643; 67224604]; [52476693; 69390728]; [82669889; 26768601]; [30604527; 57807541]; [63144571; 27004194]; [36970007; 43844007]; [45161419; 58073447]; [78711821; 74318126]; [74021929; 9968674]; [46691058; 27221955]; [20547337; 35192227]; [48610832; 62515256]; [46466802; 84645460]; [58487209; 1129712]; [69165593; 72124045]; [73010968; 63654613]; [33109634; 18214691]; [42774272; 45295652]; [85185444; 84322538]; [74259659; 30496769]; [21099920; 81053546]; [76945626; 99902756]; [39185537; 46429600]; [10806314; 46665600]; [13021060; 90583520]; [99749765; 21165126]; [84845286; 8019500]; [55812078; 87412064]; [54348623; 50358666]; [78760295; 88001849]; [57830123; 85164051]; [41213536; 22235063]; [45884672; 89680874]; [54878880; 20119441]; [48353932; 56896538]; [46000668; 27926447]; [33306336; 80751878]; [3401172; 63893184]; [61547720; 37611250]; [48498881; 92056292]; [97976393; 61556013]; [35962343; 38684918]; [92713488; 63100979]; [38185421; 79871042]; [22086527; 46603842]; [80593670; 77963864]; [52909295; 19468170]; [10249870; 58937503]; [37019244; 22144800]; [57895753; 68267811]; [85700718; 32183419]; [43057614; 39511867]; [87206470; 91403534]; [58734316; 72589584]; [67503156; 94937312]; [57746694; 85982824]; [43703920; 91158168]; [49299799; 22472469]; [91651694; 6956276]; [59872703; 90473679]; [64997441; 40634237]; [10924570; 40263735]; [61043420; 50437252]; [45766837; 17469173]; [24958368; 18068371]; [14755894; 25368374]; [8521518; 8159141]; [14821063; 54104638]; [59720025; 19284289]; [99560555; 20581026]; [36001117; 39062748]; [62019679; 68632872]; [13527311; 7612779]; [88856422; 4261490]; [76600994; 8735629]; [27031692; 79080425]; [98207179; 78810533]; [46008148; 24389674]; [28169277; 56980337]; [11091905; 14664967]; [43463435; 27812030]; [13558982; 58131876]; [73561148; 27784737]; [79784947; 12514365]; [18552772; 25577336]; [68309328; 7621869]; [94306153; 44963222]; [12327053; 8670895]; [90317381; 73276836]; [7902744; 3277670]; [24442818; 90521294]; [10004742; 91195506]; [50646711; 90780393]; [43720125; 68378606]; [47407132; 62592534]; [54897007; 62601851]; [72953666; 18104840]; [51369380; 35107577]; [67013948; 40617572]; [45217087; 41513222]; [80870864; 41613392]; [35835261; 67747671]; [62623485; 43126415]; [26209370; 6379559]; [48323625; 38517369]; [58926305; 27904628]; [45070546; 68722764]; [51595677; 68478596]; [16074059; 28375325]; [29785537; 90661306]; [88127831; 48829372]; [11796430; 88782192]; [58312411; 76307037]; [80221882; 257060]; [48122829; 78624729]; [34976756; 21284178]; [32520683; 39153312]; [77832123; 58317635]; [70056276; 83044318]; [72555593; 54596626]; [69621144; 24131994]; [10188777; 23745538]; [14791536; 49976844]; [57027066; 82582704]; [78308081; 51593198]; [59586206; 38924950]; [46226019; 34296854]; [20566805; 22014686]; [12617044; 92577615]; [63925660; 88892394]; [99201757; 90262731]; [10806769; 79246786]; [4544983; 54045856]; [68780902; 36965799]; [57047335; 37779883]; [97581152; 8034132]; [34137385; 5050158]; [32884627; 72519466]; [90268719; 29999432]; [51524669; 87496051]; [46868626; 30048798]; [93235398; 41718532]; [67680693; 90122150]; [98995504; 92393415]; [71073896; 44866759]; [26559547; 11545186]; [21147418; 19619693]; [92833468; 85298076]; [32447907; 79806408]; [99617602; 62011970]; [4685533; 95229002]; [15901924; 88078207]; [89391058; 54765068]; [72646652; 12510640]; [91819561; 3054115]; [95295275; 17552773]; [26685548; 55942815]; [56142963; 81119790]; [96841687; 74526079]; [60554741; 18752740]; [68612091; 96604632]; [84000680; 40481569]; [93199382; 59513860]; [12557071; 28378003]; [21688896; 71730500]; [31398501; 75298281]; [32961121; 14366291]; [77281366; 45167349]; [94315922; 19246401]; [62099605; 92422391]; [54921397; 68720110]; [94493696; 33681353]; [97940499; 66952191]; [12148417; 91027551]; [41259569; 72927468]; [19587319; 8393622]; [15310852; 94482818]; [65283806; 84828192]; [59537875; 66501324]; [24930531; 26314172]; [87259383; 20197333]; [56875934; 60902626]; [99449978; 18278632]; [59047468; 94186995]; [66331140; 73675877]; [53403952; 69925208]; [78665960; 25724914]; [90283750; 92920552]; [98407609; 92419585]; [23995874; 95142877]; [69994969; 4353154]; [50107664; 30924574]; [70778771; 96970949]; [32523963; 86276827]; [63141186; 57458066]; [78344563; 19278386]; [47423331; 7836136]; [69830313; 48831301]; [82358071; 50236056]; [58821255; 55348261]; [76125077; 70027764]; [84593598; 18704339]; [17457055; 82221339]; [35348437; 52293459]; [78355978; 22779856]; [43014937; 28429362]; [87976641; 65504434]; [66837397; 43267103]; [5683656; 5663836]; [147252; 73296074]; [69627145; 46103896]; [31153879; 54618382]; [87265503; 9967660]; [2540908; 99106465]; [25370649; 33813526]; [23059196; 50182242]; [61735897; 20110104]; [93585873; 13962316]; [94004893; 76609057]; [69074645; 62147968]; [45445379; 55187999]; [14040218; 72939416]; [27392757; 46964247]; [90832634; 78741762]; [65827892; 46479600]; [15069417; 71582265]; [16791081; 83738934]; [37847505; 3439343]; [52700878; 78412260]; [18796586; 2843715]; [73879956; 63555595]; [37578498; 96521538]; [8809830; 99028168]; [10646120; 33256799]; [75482492; 37430918]; [68311961; 16559115]; [17629010; 2896921]; [28990273; 81516151]; [50883075; 40194670]; [90852265; 87484542]; [51056250; 17829930]; [11740216; 87457213]; [48563136; 40525061]; [24043185; 36496547]; [38096546; 7954445]; [68373003; 57604861]; [54240301; 43107647]; [61112137; 64018862]; [85305920; 84504343]; [88605930; 32233644]; [52385532; 96231262]; [19060784; 22009489]; [45357224; 66033617]; [8493240; 27262254]; [87373289; 33676651]; [37479004; 29127527]; [49540776; 26809677]; [51948293; 82876836]; [80116560; 21467343]; [4661368; 80956708]; [33376160; 85993344]; [14849848; 73767994]; [77488528; 27782202]; [85999060; 69256576]; [16011492; 26218005]; [77043132; 47556785]; [16634379; 74053810]; [33558478; 93224960]; [97777016; 49438296]; [93475625; 84457643]; [38071142; 17825730]; [48158809; 84980971]; [53750021; 82164055]; [49329502; 21804365]; [33303444; 25744762]; [50317377; 50331847]; [67510596; 53839783]; [42914697; 44688439]; [11175449; 16490077]; [73510491; 73228739]; [11975029; 51110447]; [73267224; 34192460]; [31903939; 72833104]; [22418891; 1830067]; [80327097; 89966358]; [45581822; 647966]; [54017988; 18340370]; [65305000; 2396665]; [3182753; 440561]; [87911391; 5824977]; [73645386; 74309572]; [95697613; 71121187]; [87838392; 17307900]; [72966862; 16148226]; [69813428; 69602264]; [4171961; 36563792]; [7519453; 96412785]; [56291082; 17099934]; [4547601; 43893157]; [18317675; 49592659]; [49367580; 59137880]; [45960363; 26656039]; [2839300; 87757296]; [96904796; 32159936]; [21140855; 49838971]; [67800263; 95436577]; [74024231; 10635604]; [8828755; 14199325]; [9511627; 84262691]; [62799865; 19946601]; [71105294; 85804101]; [89564161; 21692408]; [64441631; 49123461]; [14224666; 96688073]; [99913295; 20124144]; [16028846; 69799555]; [19156869; 12883753]; [85574025; 63706041]; [77985336; 60695733]; [54618632; 58532741]; [68817571; 16247412]; [81442469; 81332269]; [91376608; 80587370]; [99164389; 28431556]; [18498063; 47934589]; [5072995; 40597862]; [86677966; 74274975]; [81694826; 89990638]; [14775873; 23313429]; [90519802; 56608921]; [41268828; 45264237]; [67221436; 42255734]; [89132757; 79013055]; [3434715; 83233105]; [74461861; 63819017]; [26871170; 5547741]; [4806231; 36845168]; [97865663; 8680925]; [73371827; 78530922]; [7297335; 67276135]; [15946032; 56354869]; [86514927; 44539603]; [68989929; 56406026]; [96096179; 16907238]; [90588184; 38983595]; [54041771; 12802239]; [89738075; 48621857]; [74352797; 63139236]; [90855729; 35185099]; [40972353; 28737683]; [78959009; 15905627]; [81070094; 95670311]; [21961146; 35251318]; [34103339; 28783081]; [95712275; 82279575]; [52922040; 79991891]; [46596343; 91585157]; [59367099; 55238165]; [96395153; 30083397]; [29493337; 67779913]; [31844621; 30883353]; [84167189; 87587135]; [6698700; 49824095]; [58405531; 74738500]; [64575430; 70437460]; [61742847; 77569942]; [63987122; 78818565]; [16622417; 15254075]; [99996278; 28210447]; [89929248; 20525503]; [63235555; 52427397]; [84651710; 74425495]; [59022605; 73258702]; [59443965; 47981277]; [67256407; 82907637]; [26105194; 22210329]; [48612192; 75849253]; [83047792; 9376612]; [43548120; 46826212]; [20538966; 8426245]; [60869217; 52836031]; [50133695; 92922036]; [11728216; 52717840]; [35795462; 15880086]; [2872092; 48902775]; [56946302; 4823555]; [56809651; 35309043]; [22658442; 81061199]; [92025640; 16675576]; [69821637; 57991043]; [44382026; 7722688]; [22960477; 7014586]; [74926409; 40055628]; [92466481; 42836094]; [80533222; 51396218]; [32281500; 45101260]; [13710569; 60950848]; [55107680; 65144509]; [36128412; 11360728]; [33518364; 6595739]; [63952110; 82096073]; [51087814; 54640317]; [86926707; 50982532]; [10534642; 48735386]; [91189087; 52914621]; [65176464; 95892352]; [17449701; 46005743]; [23601528; 5728751]; [38954337; 50560629]; [49641145; 37280576]; [79280824; 10484033]; [86732978; 49157616]; [23445716; 56390683]; [17584173; 79606688]; [23484639; 20316861]; [14129443; 95452124]; [38529328; 46330803]; [22929589; 18109887]; [71284967; 29551653]; [13264058; 85863240]; [78488594; 40394055]; [40782546; 38583137]; [89025090; 30859522]; [21496345; 8817054]; [67101706; 87849125]; [13338136; 9945517]; [14827342; 94290670]; [16514849; 47152224]; [10878477; 17344928]; [31876770; 49097358]; [76126469; 44339196]; [32976064; 35260357]; [15249456; 85648380]; [76748233; 25003294]; [88074213; 94861699]; [32658034; 40326992]; [36662157; 64716292]; [59799075; 2638399]; [85354005; 63205173]; [81465663; 21069879]; [108516; 44978153]; [20383662; 10705490]; [27412359; 55919334]; [98290929; 14343805]; [26118662; 61491446]; [5147731; 57097964]; [6615792; 74900460]; [70688630; 25482078]; [15896545; 54247369]; [5030435; 83363147]; [36686800; 8912998]; [55179509; 39772874]; [31579927; 57962735]; [47375135; 94016992]; [42923448; 41061582]; [53077847; 81105071]; [56237665; 93755018]; [50691812; 93939191]; [1338611; 4653433]; [92163950; 57224642]; [83199964; 65304980]; [93512944; 46150199]; [51241772; 97832802]; [18968506; 46901971]; [94350009; 36745221]; [18153907; 57731321]; [73885781; 68544118]; [4022281; 73623459]; [8760040; 16293549]; [92962757; 3511035]; [71828116; 9506789]; [85882464; 60048693]; [65371999; 20304898]; [19565976; 95524259]; [90278410; 23873914]; [76354406; 38959285]; [44388342; 8653251]; [2702733; 28906502]; [51481489; 75106919]; [71758272; 71938081]; [45288473; 5117206]; [67238532; 53816546]; [91087828; 11866660]; [44598494; 29946420]; [72009931; 75535956]; [93660961; 37815779]; [63172721; 18419185]; [64870613; 42658780]; [1446643; 15669481]; [4368102; 74083415]; [59945674; 30209360]; [47415980; 32023015]; [64846975; 58320262]; [69865319; 48291083]; [75306623; 6175401]; [21208016; 36924047]; [75906804; 30424973]; [84210842; 22663405]; [18232147; 85586502]; [24132980; 8873051]; [10950916; 22651161]; [72861601; 41119353]; [56767458; 17649801]; [62279502; 23484523]; [35335181; 74774037]; [24351173; 52693175]; [2981399; 59720516]; [72016421; 10922792]; [37158040; 18627611]; [1637858; 58472581]; [70849021; 79988232]; [14136567; 56624304]; [65543980; 95580451]; [30328153; 17070839]; [59425815; 34733760]; [56968244; 68226]; [82047890; 56046328]; [3283507; 71685116]; [83227245; 61292399]; [93078737; 57122061]; [40597883; 71575074]; [38834675; 54971232]; [90566037; 98544397]; [98794941; 10406930]; [68725858; 44963021]; [20742434; 92256075]; [21528294; 59730509]; [48442019; 9912844]; [64098195; 37028880]; [42813114; 72869385]; [86018019; 21109214]; [49729660; 50620627]; [30269095; 13175687]; [32705884; 59495484]; [2320545; 18412712]; [38892929; 50366061]; [27626863; 8926389]; [45209668; 22304154]; [40882870; 30392588]; [66472907; 48913713]; [59038644; 62826047]; [54933754; 37855258]; [53166422; 66488448]; [88295281; 72152231]; [27045449; 70196019]; [66420352; 80949444]; [29221552; 10580853]; [61933322; 5090247]; [94413377; 10421252]; [60685682; 70280534]; [1481992; 38462052]; [67150756; 6383232]; [34438614; 82904548]; [75623234; 46474283]; [70690276; 17003059]; [9466052; 17778071]; [34127017; 10412675]; [65862841; 81071871]; [49480414; 95402865]; [3764479; 95957370]; [85006922; 15237728]; [92098726; 6084804]; [34440548; 37636932]; [81208240; 75294553]; [74955558; 72852033]; [34313124; 55592532]; [65895908; 13984454]; [40806480; 6437271]; [62940092; 67563970]; [6585276; 33008250]; [52202585; 96851090]; [94979110; 19090879]; [64545127; 38779313]; [77837725; 76290200]; [82461930; 42052868]; [13613508; 97960223]; [48696147; 77180802]; [81341084; 60167391]; [29526461; 52301451]; [84119960; 5760020]; [4061859; 99723568]; [74522184; 71353395]; [57883498; 57035527]; [62636924; 6937665]; [42021549; 50567914]; [97959898; 54861420]; [92641378; 47555919]; [53020635; 15880572]; [59860209; 11471593]; [64231549; 66685692]; [55740801; 5605307]; [13312628; 60409638]; [96224077; 34404383]; [73569176; 10924135]; [84736767; 39126046]; [22697513; 88181999]; [301825; 15436703]; [83516216; 62560289]; [25094443; 58421373]; [22023629; 54205606]; [16355740; 73578280]; [71812979; 22332030]; [87940452; 86249287]; [57811023; 47529891]; [79895191; 83560730]; [35112268; 3284641]; [15700061; 90848440]; [96652116; 16716889]; [30453969; 2115782]; [93377148; 70038175]; [44735563; 9865263]; [23350612; 86307760]; [90268781; 17859353]; [14924359; 77631426]; [35684660; 73325788]; [88364322; 5160238]; [69718003; 69834824]; [55105780; 64083793]; [50270397; 57493952]; [85782020; 30433096]; [22838043; 31292870]; [29248994; 4382337]; [95634467; 39619093]; [98696500; 61240485]; [59231608; 30392686]; [69841663; 43217925]; [45857034; 53848612]; [19129224; 34039886]; [51377794; 34200599]; [62444367; 52060772]; [98736809; 23653759]; [82743084; 18236900]; [86265738; 91737794]; [46724018; 30401663]; [27745190; 55443850]; [37759846; 5215736]; [41139714; 78493604]; [54933856; 15628986]; [2233113; 66923524]; [68470595; 46539493]; [70447888; 67256734]; [94470252; 66296663]; [94415454; 11920231]; [70722062; 49300069]; [67197202; 86983788]; [33302303; 27466711]; [34329712; 39451013]; [12644044; 41493163]; [17568103; 52512137]; [79354976; 69295855]; [20433805; 79022231]; [3235492; 72521454]; [11801217; 87408843]; [7638668; 53356334]; [71960072; 85776673]; [17501691; 15321727]; [46765734; 70887863]; [11992387; 35886375]; [43556047; 67358788]; [20977654; 29660219]; [46668847; 74057861]; [94316899; 41034044]; [84976361; 64271757]; [41989914; 13287979]; [43301201; 78363435]; [30981698; 2128530]; [94283125; 65756615]; [84113655; 30672863]; [54749980; 75403593]; [93651650; 91138507]; [93017989; 59903480]; [7030122; 33326571]; [14902948; 69873981]; [44314198; 72768844]; [25134393; 46381143]; [42083514; 64516617]; [59318138; 55152831]; [96391651; 88765609]; [13338601; 99602473]; [33487177; 97433654]; [19954148; 7150505]; [79782052; 95655487]; [51957640; 59402888]; [39681417; 10813282]; [71703167; 64116899]; [79889882; 68012852]; [70030747; 97960032]; [92744720; 36896934]; [56905113; 44931851]; [15008443; 99185286]; [82173622; 24456649]; [57939777; 92869023]; [60359412; 39880075]; [6722439; 818973]; [67301590; 41037848]; [23224630; 213968]; [44922104; 77091875]; [63945573; 73380941]; [19280040; 55751233]; [28642532; 9900535]; [74099467; 48116543]; [93798924; 34051706]; [65539883; 96025917]; [88498913; 62984901]; [43537064; 62039749]; [52944632; 60769529]; [39763058; 76878299]; [86913315; 9791065]; [78039688; 1883142]; [8834553; 76453346]; [48855408; 52342303]; [77494316; 93298822]; [3057211; 29128376]; [4601540; 53010423]; [91805898; 44746299]; [18767579; 21265221]; [11185355; 5731775]; [86791397; 35645792]; [82396006; 64154550]; [43687588; 75226962]; [49982660; 66374271]; [83085966; 46389562]; [84634302; 40996366]; [99895721; 49901]; [39913773; 60652941]; [36251101; 12448002]; [97055842; 37660896]; [53188497; 95639655]; [50130310; 90168602]; [94021876; 47049630]; [84151774; 81668579]; [62886096; 71607308]; [17752777; 4258057]; [81769217; 29271118]; [26060445; 36403762]; [26062434; 45721032]; [71281320; 13040974]; [39413481; 91466388]; [11971305; 37941073]; [10364555; 21956260]; [61235057; 51877995]; [2532964; 85763779]; [26357049; 36336327]; [59874800; 81310633]; [57820294; 3346753]; [65955458; 82804202]; [27793974; 87978944]; [92990846; 58597460]; [35804380; 71783333]; [98006055; 42294948]; [82691216; 63769495]; [39271534; 82198526]; [5271964; 22973440]; [10479403; 5147068]; [83128489; 93046476]; [16891214; 49700707]; [57862929; 84344805]; [49153599; 82147660]; [13582264; 46145198]; [27999566; 26785267]; [12789066; 35041746]; [2511761; 61543013]; [72534878; 36404334]; [15256674; 32653083]; [11918025; 44232319]; [3989491; 92585233]; [84520261; 84593179]; [37035208; 42463889]; [24892748; 67602680]; [46899161; 66076383]; [33820167; 11522653]; [87399904; 17993372]; [69502582; 87275626]; [4694065; 9152441]; [49728053; 6488262]; [7047168; 5949144]; [12353029; 75622214]; [50945617; 47240443]; [93150052; 98986577]; [61319948; 66927975]; [8579655; 47465806]; [59129266; 58976218]; [54774552; 66274216]; [85050380; 97618832]; [5549809; 96964257]; [83068171; 8069619]; [76912909; 8623384]; [66695050; 62229637]; [54276453; 26164299]; [95226219; 24033510]; [88488003; 15380313]; [36851267; 98338063]; [20498342; 32103393]; [96230667; 514939]; [93584977; 29368854]; [76410178; 26108614]; [58802472; 69501656]; [547742; 32263828]; [36291637; 47574454]; [195238; 88902368]; [35255814; 39036175]; [45196274; 37722547]; [822262; 13793990]; [59325409; 66820479]; [67776736; 37821304]; [43824629; 22589474]; [90042849; 10336916]; [34044037; 6397095]; [54230745; 35411877]; [21399272; 20415346]; [67076447; 33821769]; [25640621; 64284540]; [99643207; 5639833]; [79741824; 74327902]; [9552126; 90399]; [99382297; 41243439]; [96925672; 46582290]; [1257362; 12665445]; [15283240; 68926983]; [46926046; 71085968]; [47134675; 3212793]; [44344438; 9120838]; [64473509; 48156839]; [59075907; 2664245]; [923262; 59548627]; [67912673; 26987759]; [74825912; 31449189]; [37507854; 35041029]; [41684770; 83122110]; [49085815; 49257746]; [71349248; 99192281]; [13764863; 24463800]; [1986708; 29903546]; [55040872; 12598608]; [23494460; 36607529]; [83517928; 96479182]; [8706711; 57210072]; [73026105; 87216892]; [67571341; 49293210]; [70039156; 48193802]; [9133916; 56368737]; [224478; 35552497]; [57661789; 87411670]; [13159827; 43464642]; [53960425; 15062503]; [24920115; 35220648]; [66396369; 96893972]; [49781906; 61806941]; [89502451; 62294672]; [16966408; 86764510]; [8610176; 78680082]; [54391459; 41835879]; [31097486; 51061120]; [64168850; 50046055]; [40476599; 29883841]; [75768380; 21263830]; [31032149; 22481051]; [3557104; 97630993]; [33087509; 92045089]; [23669801; 61950239]; [82200762; 44934281]; [54786510; 61380742]; [38063848; 82018420]; [89054809; 56087824]; [4582329; 89809448]; [87217733; 82765351]; [72777337; 56242915]; [54189784; 36410669]; [69554387; 27119475]; [49601656; 63276358]; [77395785; 71669865]; [92470786; 8406936]; [33421254; 60156181]; [11494321; 64838886]; [62321918; 69828691]; [33908056; 55683745]; [1310526; 77292090]; [33345037; 80535204]; [58464216; 51223327]; [96895242; 41005089]; [55282920; 99968974]; [11887709; 49160376]; [11794788; 70986331]; [13226784; 25609082]; [28290461; 2829289]; [65662416; 54772455]; [18603733; 80145765]; [24055455; 62398742]; [20638338; 87039710]; [76884905; 54680053]; [44748715; 98164599]; [71324698; 66773021]; [35242694; 4563505]; [5659902; 68596485]; [21264433; 30984029]; [56964086; 6346772]; [44402384; 91253345]; [36466340; 29663840]; [74956970; 30457116]; [15920969; 52764822]; [6973152; 32679089]; [95581343; 21534440]; [85681056; 36181661]; [56997125; 10843138]; [6133661; 11792100]; [78101714; 80278025]; [23554959; 62229803]; [75395995; 84203537]; [805406; 4949156]; [26294328; 51749587]; [76983120; 76108242]; [35312326; 86153668]; [44722166; 11580494]; [27568758; 8523798]; [67367084; 9366603]; [75486167; 64067890]; [50947177; 86644701]; [31515819; 99805912]; [730289; 88388295]; [55393619; 55284986]; [64238456; 16986102]; [19997261; 71659365]; [81476888; 42905378]; [16223462; 99665690]; [17243408; 69942383]; [11662299; 19299253]; [56341243; 88653676]; [73576836; 26179515]; [74332032; 26378794]; [93352004; 71919122]; [92931590; 61054228]; [79949837; 95474778]; [14987943; 13204566]; [99747729; 12944766]; [64572768; 26268232]; [60227807; 73082681]; [39558013; 91475244]; [47574263; 6457654]; [85380186; 40236988]; [64197215; 381739]; [56481015; 88997767]; [23891716; 52403778]; [96234312; 21597129]; [86652321; 75578934]; [43122960; 29975891]; [89234535; 43552960]; [9511483; 90363983]; [36601386; 51287556]; [63141775; 54813150]; [10002061; 8952071]; [20933305; 64744044]; [172362; 95211580]; [36844345; 44568710]; [18548445; 80777520]; [91628493; 31949502]; [9614884; 45963045]; [17796377; 53988836]; [55564697; 23973491]; [68779032; 13383402]; [22371087; 84879739]; [98642635; 5794152]; [87254497; 14346466]; [37865646; 315068]; [70262538; 5522952]; [9335100; 47907283]; [73239765; 9324699]; [1403829; 87968213]; [31265382; 76030457]; [19290333; 31261096]; [7207749; 51347768]; [82739208; 19359501]; [50349917; 51678643]; [80475543; 2708926]; [6250251; 98028144]; [61940094; 79170278]; [17321638; 13400861]; [64851482; 2454806]; [40586015; 1280235]; [81786560; 12954418]; [13101748; 41695621]; [71430268; 81901234]; [40960756; 84122114]; [4973301; 84164912]; [71160921; 30590767]; [6119431; 68565008]; [31132531; 43745911]; [44179755; 99735965]; [99637081; 94476726]; [58432549; 32368382]; [77662944; 20362583]; [53953313; 61690533]; [96191501; 67621052]; [20954750; 12559153]; [23923502; 64064623]; [43220612; 90564378]; [76529510; 78042792]; [33330320; 78217164]; [38073737; 14460642]; [83289158; 84750078]; [67497808; 54667905]; [22160231; 93658389]; [57809636; 31069934]; [26776991; 97546865]; [55447746; 44311363]; [8275804; 50779040]; [73558979; 89411506]; [61512380; 15448412]; [10879118; 89405280]; [53451414; 70447224]; [69301957; 50147631]; [74912593; 50718764]; [24287446; 90399202]; [86822546; 1147347]; [58672281; 48730357]; [49732101; 44095963]; [15375442; 95651166]; [25386602; 27641495]; [2521387; 60097375]; [63758561; 58594149]; [55108058; 26919549]; [87169732; 26711757]; [87377258; 110943]; [90588646; 81556523]; [56771585; 60927071]; [19481546; 3724110]; [89054000; 13644850]; [18319354; 97317321]; [81173064; 76059746]; [35630421; 11732941]; [6151029; 92603423]; [92594188; 66485187]; [24631346; 83312186]; [77240397; 64559702]; [21627572; 43667149]; [34198746; 53671270]; [16169606; 60969108]; [65453613; 66960784]; [78922806; 21959554]; [91266175; 62713081]; [1119247; 74536191]; [71452534; 86363049]; [25473185; 25258129]; [35539264; 34725432]; [50708381; 30228363]; [23910771; 96015728]; [98273378; 98704299]; [60803227; 97563336]; [10274496; 3525175]; [16126941; 10659345]; [38269771; 32520476]; [34567916; 66092281]; [73182105; 43448523]; [75047340; 89153789]; [56288192; 23725213]; [57867119; 5928890]; [78237318; 35220721]; [12663583; 11920064]; [70051975; 90732430]; [39312403; 68215268]; [29313275; 26133530]; [15039261; 20843293]; [28025954; 14537333]; [49747650; 50899179]; [62105736; 17802758]; [76846078; 28748833]; [59804830; 12105333]; [55198801; 72748801]; [94391466; 16350620]; [11792928; 22394278]; [11692269; 38577326]; [53389244; 62584264]; [1047419; 62217277]; [34741340; 28302063]; [19943496; 79876643]; [38239501; 43431991]; [82026933; 23169526]; [44804733; 99246328]; [96053933; 68727549]; [91341624; 4345672]; [30609632; 7699390]; [24409200; 32136514]; [29457332; 23104624]; [68060855; 59280587]; [20153765; 30283286]; [90564066; 40381299]; [60347526; 7979664]; [5409518; 52183149]; [53270779; 85682]; [91975379; 45519779]; [65547406; 47910751]; [88827643; 61375454]; [55827622; 98544644]; [67097183; 98384839]; [71902811; 28155849]; [93182494; 4809899]; [65747902; 18280458]; [26784643; 76857948]; [39018441; 973955]; [97990631; 10683608]; [22642110; 89874990]; [79414758; 7888826]; [51448800; 42522060]; [32715792; 51295405]; [49725403; 57377869]; [30459545; 85151419]; [22528999; 13790204]; [19700207; 49801575]; [7097121; 69678395]; [19970932; 29869139]; [631526; 88753172]; [30158651; 76443826]; [83315791; 38055925]; [31189907; 89842365]; [36707034; 90406679]; [59713787; 62068040]; [36139878; 15054084]; [92231350; 30629507]; [11816444; 69374901]; [84252242; 78683144]; [57511035; 47267534]; [8942559; 24178616]; [171111; 56568915]; [6302631; 95817596]; [75893705; 25938759]; [95892638; 81693812]; [81966216; 39244591]; [76765472; 86068175]; [25284599; 659931]; [54285532; 70438953]; [5598481; 81803699]; [83613647; 93499074]; [71345201; 78913692]; [8514391; 40746774]; [18929976; 88607960]; [38655063; 26980053]; [42330217; 28628770]; [80938002; 2232900]; [12957025; 13226617]; [94844840; 50860243]; [98225884; 55775709]; [49640606; 50306343]; [80281396; 45951714]; [99648599; 24940347]; [68607062; 6755464]; [51098411; 67552086]; [6813940; 49497338]; [97262203; 5318873]; [5258695; 46180101]; [19520097; 63661040]; [79171345; 96327195]; [21707856; 93347350]; [5723428; 77342526]; [56081208; 68406835]; [56581763; 78083924]; [53188262; 98173316]; [61536408; 47905725]; [82883377; 61192125]; [85312981; 44926645]; [20016224; 25660781]; [23327512; 6225599]; [69187385; 44039034]; [94472806; 91443]; [74506522; 22761511]; [9119085; 29689170]; [32959899; 11944293]; [64253175; 64696014]; [44307653; 74278699]; [72495334; 68251451]; [80527157; 49755766]; [38305236; 18985772]; [93273437; 47440212]; [70741745; 18108968]; [26919068; 70833913]; [20881576; 76525519]; [34684046; 37927970]; [95181940; 98830720]; [71676323; 26349733]; [94298161; 13454351]; [55425446; 23060627]; [2698102; 21491839]; [22904787; 35996524]; [75392482; 38892049]; [73889849; 57253853]; [40347226; 44004713]; [278889; 79971053]; [25770824; 4876228]; [58139601; 22055819]; [23189412; 67117580]; [63549144; 90796988]; [50026120; 53915702]; [57108655; 68766577]; [21505239; 62535560]; [42740802; 46547787]; [58572721; 11681929]; [46081642; 25901707]; [81646283; 58788857]; [27041437; 90727736]; [93393913; 20344944]; [85054754; 17915127]; [45857699; 77271720]; [26566447; 90334443]; [32593866; 33813775]; [94333001; 98565849]; [23667800; 10462878]; [9885744; 5470658]; [1454289; 72379946]; [12005535; 72148998]; [86505033; 64331313]; [14148586; 77831883]; [64428570; 15907016]; [6998083; 42994879]; [85861299; 94777795]; [53624809; 54128683]; [19242833; 13289952]; [67923057; 18169346]; [78461094; 11619625]; [44000762; 56978162]; [26125063; 5150930]; [50346957; 67607169]; [9501394; 12513521]; [31973821; 95180064]; [98744201; 61243317]; [46466495; 75597052]; [81311342; 44400188]; [48512392; 42071938]; [76900587; 18156899]; [46146560; 81886015]; [77551733; 70210209]; [98201655; 78636813]; [77768363; 48523146]; [42090187; 61033678]; [79638210; 88147686]; [75267611; 86138646]; [44173549; 24180171]; [47499276; 47481638]; [12522081; 88841694]; [74039925; 52673479]; [61339601; 72047395]; [95435347; 56531829]; [60008513; 49324630]; [77733420; 80754515]; [41978438; 55163381]; [79963373; 96200586]; [54902250; 34721035]; [85715490; 8496665]; [84516984; 26726261]; [42289597; 22948254]; [58876359; 66414877]; [46380337; 18886652]; [53021024; 73271310]; [34321133; 88419925]; [67456221; 13359916]; [6890680; 44524001]; [29921095; 35960308]; [99308792; 39062961]; [94795988; 4470562]; [57219046; 55676222]; [8206009; 25940015]; [88971028; 6400387]; [12330544; 67218780]; [91590640; 39661866]; [29967565; 6131567]; [15037034; 9000825]; [15459939; 97366059]; [64789024; 35510188]; [62859416; 88929370]; [46300410; 24979018]; [50115820; 63316403]; [90235011; 21697898]; [87933824; 12563400]; [33812870; 8907193]; [41513408; 56806424]; [9600898; 49695738]; [5105258; 10613536]; [124478; 97098553]; [15076261; 6112326]; [78706990; 98175927]; [58446707; 19022036]; [88761756; 17739942]; [43583589; 98511754]; [85350318; 67189028]; [28324894; 40276816]; [25085719; 42051248]; [34016430; 5463561]; [71659144; 70511110]; [37978153; 99665122]; [61179321; 54511137]; [83011405; 89807015]; [78381502; 95990096]; [79583370; 23823050]; [67039334; 35721065]; [75206615; 43428456]; [90898523; 98283021]; [20349818; 33053187]; [92119712; 33807275]; [24575615; 8718583]; [10677761; 17199452]; [29318252; 307001]; [88323506; 55508678]; [18064691; 29602185]; [54688437; 81137141]; [29423844; 66470362]; [68596959; 78042837]; [89187355; 94775061]; [99326959; 49614430]; [77676016; 31890729]; [41788263; 26788969]; [63703612; 50362195]; [78495360; 46268231]; [72133634; 82221523]; [21832903; 81366352]; [80645084; 81486162]; [86411900; 71875197]; [89126577; 77848651]; [20037560; 24246377]; [73619378; 6686955]; [50851313; 11544235]; [73522271; 26083333]; [56028340; 17685276]; [53070180; 85706489]; [98054136; 99579006]; [37421658; 60154019]; [65857097; 67252659]; [77328241; 960108]; [5833548; 48986574]; [35198788; 2000666]; [16418924; 84128890]; [48400386; 93094414]; [50035505; 71842288]; [94496938; 57437162]; [41912958; 86939066]; [6913602; 72247465]; [56391673; 68375093]; [99118206; 80529319]; [84092221; 34576723]; [25224096; 91647056]; [7383897; 41672625]; [51731977; 67934132]; [94507400; 41936241]; [94338371; 17993124]; [96470278; 14411329]; [3388431; 86997161]; [12029841; 95665797]; [13552115; 851611]; [58288560; 11736663]; [48044699; 41517531]; [63183503; 689297]; [31127534; 29549743]; [45935701; 40251844]; [66283590; 47622931]; [52703032; 40692785]; [27240483; 45883295]; [73766176; 76340620]; [47164788; 27859031]; [5658201; 19905472]; [62240729; 54018887]; [31750181; 2894922]; [39437325; 50514289]; [36137234; 43045584]; [26152443; 63490528]; [3684156; 21853738]; [73605180; 64589782]; [76391649; 70938682]; [90585570; 3945653]; [37452418; 80208944]; [75770781; 89685854]; [17800627; 93140545]; [46261674; 2692739]; [51865157; 66479818]; [63957662; 27748862]; [39594630; 10377672]; [85441127; 39583289]; [47230128; 74450336]; [46529708; 25356406]; [13049930; 708428]; [73111892; 26009027]; [2393665; 80365046]; [80332088; 55810744]; [20071642; 611976]; [44759097; 29853803]; [20188177; 94883754]; [27964058; 93375082]; [82919390; 84847442]; [7111322; 90423070]; [99082672; 33060824]; [56438701; 12320535]; [10277814; 88902212]; [86050306; 48111842]; [96198005; 72998148]; [23982158; 33874862]; [24425832; 13987413]; [18389193; 71079081]; [92815794; 51567040]; [33441978; 45981076]; [14330545; 15979596]; [29631847; 97876224]; [11720460; 42253589]; [8927127; 61367482]; [54100486; 80132330]; [11726561; 77412596]; [66676127; 81976451]; [57125278; 11736421]; [1731451; 62687311]; [57666574; 96491246]; [1320853; 42631975]; [92977094; 13312515]; [19456148; 56095623]; [37812310; 7221008]; [77604819; 5344207]; [52141850; 79140551]; [4048332; 36776995]; [32044916; 65155426]; [73876106; 39881483]; [61105405; 95179842]; [94311173; 19865507]; [20465947; 33332778]; [3005256; 17527969]; [69086307; 96696090]; [63214225; 74949264]; [16638247; 54595896]; [76593; 25617997]; [75356816; 72645318]; [76891447; 55522908]; [38045499; 99146527]; [40151824; 47457655]; [14480497; 89820386]; [5291349; 678927]; [71634409; 16988107]; [52870756; 68970876]; [38097426; 95665763]; [85631517; 22525376]; [95143951; 96848195]; [98619096; 53913250]; [26523033; 94580403]; [85112136; 56288249]; [62712400; 17152052]; [63825257; 99164236]; [7466915; 63229787]; [72469158; 33640991]; [2587697; 77191532]; [60606446; 92080475]; [52731107; 67434655]; [69733853; 92238858]; [17430290; 34912895]; [64363628; 73705150]; [38019792; 27520253]; [86032899; 19045775]; [74191738; 70960694]; [67568432; 20533371]; [23539280; 3496830]; [73637547; 12873462]; [86222231; 96442001]; [36054376; 49712264]; [94159868; 28691704]; [12310134; 17856851]; [83288970; 38013782]; [88373274; 19778492]; [15192459; 33015070]; [1922045; 63151014]; [80169029; 76790478]; [1694289; 23588915]; [82272063; 99320509]; [46076897; 2301428]; [52449479; 95865916]; [47234261; 51942054]; [62158103; 32358503]; [22295318; 62939142]; [8318815; 20454174]; [55761143; 81197162]; [90953793; 88796549]; [66853744; 94401518]; [87733911; 78482566]; [40482047; 2194203]; [47286041; 31760577]; [83942797; 81648897]; [41268995; 20133879]; [89054401; 10067741]; [72160592; 6833244]; [78391992; 42414580]; [659044; 83304442]; [93276810; 42449906]; [70083084; 78880239]; [84056423; 55774910]; [29394159; 61292186]; [10260857; 58797364]; [13693999; 27666541]; [66231126; 20091634]; [3381249; 81755383]; [48631005; 47587562]; [62186037; 49866137]; [69240393; 13419345]; [40166894; 98391753]; [99935762; 2685849]; [53069651; 41869162]; [44187303; 12091880]; [94837124; 6589733]; [43792521; 86842061]; [64972366; 20890012]; [35559740; 40903928]; [2132338; 44212380]; [62018330; 5138019]; [45373976; 65747095]; [78660705; 22946514]; [26843326; 1592268]; [41370483; 97742029]; [34029065; 91729676]; [91235462; 13890960]; [82190929; 49867562]; [86428187; 95080784]; [2435235; 55743078]; [91391231; 17139735]; [34616803; 91164215]; [94899979; 44524287]; [6602678; 42334852]; [63492861; 21619]; [39403308; 90458171]; [80923805; 74694727]; [56518549; 53198907]; [27670930; 32914089]; [47694982; 54407334]; [42196244; 26767788]; [3509186; 9749721]; [30300487; 47697687]; [62969258; 39218298]; [31483664; 76730050]; [32982676; 48492896]; [18933713; 7287290]; [16903591; 55266140]; [57712583; 12948736]; [26460894; 18442202]; [45723910; 74863691]; [86575538; 78449432]; [13988786; 29526259]; [46354335; 47201173]; [44402684; 91476527]; [56606138; 8013732]; [84168430; 38730271]; [49766640; 45746440]; [91941850; 33765218]; [76412222; 98574549]; [73308784; 96132261]; [10731961; 68068536]; [1108541; 8497467]; [7546623; 53291275]; [3011661; 52747707]; [3764794; 91003744]; [3152783; 41893593]; [616986; 28803095]; [40634200; 84012032]; [39225788; 98881890]; [79961712; 8330143]; [19986921; 65293609]; [24554787; 34434973]; [6837755; 19496464]; [93106918; 80360770]; [43090593; 51950991]; [17594036; 38666518]; [14558196; 25165063]; [33037292; 44009784]; [13998630; 84716070]; [21750545; 91145854]; [24628864; 16557370]; [7117486; 40142502]; [56200108; 82178218]; [45501841; 46339253]; [18700383; 55891777]; [76205764; 62904203]; [86670634; 33105259]; [35764632; 40431049]; [23913149; 68967170]; [54694698; 13470869]; [38864575; 25024844]; [80322244; 94634810]; [7159380; 10507553]; [14443395; 86139067]; [61271111; 62006073]; [79029504; 70220069]; [59063453; 18241737]; [94024510; 45453919]; [38642033; 50553865]; [27407209; 55740566]; [92299513; 70998254]; [88689702; 45744181]; [50141528; 90617505]; [23702967; 49812052]; [69200786; 82344569]; [91137007; 88505918]; [6717229; 40923820]; [91129136; 18349637]; [57427755; 69257551]; [5071676; 76246720]; [87265390; 52254276]; [43311791; 28827286]; [52137942; 7907425]; [46156309; 43863762]; [25179932; 55499019]; [21824957; 43162632]; [28804842; 71570357]; [42512539; 31446665]; [3119499; 64477525]; [69019607; 78434112]; [70116733; 43762161]; [10390670; 43511942]; [62568059; 44199901]; [96533353; 93189587]; [97369883; 90596823]; [54488039; 78200965]; [14103058; 7262209]; [15080041; 51355103]; [97272591; 65356703]; [88027419; 74967513]; [89668305; 83104984]; [44916026; 60240412]; [49840527; 86282954]; [17172219; 33459615]; [69416727; 29177169]; [22311908; 72877247]; [3112126; 41833085]; [98981576; 70710598]; [71264566; 47547382]; [97564078; 99903248]; [12309692; 64670460]; [97184109; 75959793]; [14734148; 75646527]; [8891970; 49724243]; [15980751; 28962645]; [13153288; 31842827]; [25394693; 11955707]; [24704954; 80377461]; [23523948; 6809427]; [3442249; 13675201]; [21349124; 29814754]; [53652165; 89735776]; [8076850; 41283735]; [76887619; 349569]; [75459273; 3137667]; [18187776; 18490658]; [64322074; 11089264]; [43198645; 65728239]; [7404930; 68060331]; [39937732; 43754469]; [81162537; 6024701]; [52490571; 79418947]; [33129290; 37800312]; [99410806; 12966186]; [67011522; 62052916]; [58285366; 32444635]; [63472534; 1974315]; [14570535; 66595822]; [35043545; 34968848]; [22279431; 51280161]; [8833625; 76837535]; [77178735; 32609967]; [32420754; 62440428]; [12011657; 69816532]; [46446324; 99576006]; [58146356; 70674095]; [78521308; 74060756]; [83648003; 39795794]; [57741759; 80502734]; [60925442; 69733331]; [75966029; 62439291]; [93120066; 40391192]; [13004695; 70543539]; [86904354; 61995295]; [46686239; 57615205]; [66958344; 46047636]; [54718466; 30476677]; [1536389; 42650503]; [49641653; 14366660]; [13030481; 63151489]; [34362277; 17942645]; [69762051; 50987265]; [23782685; 35682179]; [45574625; 19006385]; [33982624; 34548629]; [8027425; 50592085]; [62756898; 98406049]; [6524948; 57192499]; [60289826; 23594121]; [19218314; 75607172]; [41159084; 37444472]; [10774533; 83138268]; [33739467; 5277342]; [36352240; 11171510]; [35304731; 49303984]; [59275755; 17036692]; [80820438; 16269436]; [60481001; 85550798]; [26688285; 37407747]; [74117344; 65121751]; [21025498; 70439018]; [28959046; 3615103]; [20566417; 61295175]; [50855848; 98486170]; [86567646; 65587685]; [62135383; 88489179]; [68726621; 74180226]; [80493973; 8888799]; [38083250; 56256770]; [37867330; 88401122]; [44043981; 11092862]; [88764488; 79971556]; [23494216; 32865576]; [98390180; 94241306]; [29818749; 46081032]; [67271609; 37705842]; [64138532; 63645653]; [76199549; 21412891]; [63964604; 23751154]; [81018622; 37099457]; [56956624; 3304586]; [5546762; 86748542]; [19679344; 98836906]; [41503833; 93741094]; [89153286; 8077895]; [31580066; 60124458]; [39508497; 19600770]; [47486576; 28444135]; [16785016; 73393739]; [62026971; 62003373]; [14307503; 30343842]; [86159372; 38656825]; [51078451; 24280114]; [43061486; 51484201]; [58949766; 54976074]; [87504269; 89772856]; [96722067; 83350682]; [17887276; 74578917]; [77498890; 91271737]; [48045393; 50953240]; [13326073; 27496681]; [78504143; 22221198]; [83495125; 5293082]; [57986830; 63895887]; [4313978; 30885115]; [50844465; 55032076]; [20769186; 39942764]; [83708782; 47280987]; [79263644; 47534179]; [40274542; 98707147]; [38043328; 366971]; [62421408; 15021623]; [51337948; 97113707]; [155603; 14535312]; [48019923; 97562349]; [35207495; 59057197]; [64197681; 68179662]; [72035837; 84875769]; [59769311; 58896065]; [56572925; 90936438]; [59841997; 89633470]; [64350735; 69493610]; [29249791; 7499662]; [26338737; 5768982]; [47927026; 10338841]; [39872641; 27422229]; [60956114; 43062656]; [34059242; 3814691]; [28072793; 93209163]; [93998691; 92015779]; [29510162; 97560523]; [34883363; 8826624]; [84872463; 47447959]; [65216202; 32400830]; [22733420; 24721049]; [68341634; 197369]; [36614383; 94316506]; [23031324; 56100492]; [49239452; 4539352]; [76259051; 36766262]; [21844295; 69143842]; [92297599; 49584459]; [13140298; 37925861]; [95570136; 84120588]; [6370206; 60584645]; [26275656; 74755317]; [8527062; 69452870]; [34356276; 88854434]; [90734422; 56505594]; [54645193; 81783638]; [81824801; 19565136]; [88717641; 26625331]; [74403656; 77706226]; [22974262; 77561762]; [92845552; 17620665]; [83896265; 94139306]; [44486684; 71897375]; [70950714; 99333286]; [1396617; 10709078]; [38214511; 6599583]; [18697889; 51365758]; [96155583; 87219588]; [84624026; 56865384]; [95786083; 17966396]; [63070849; 64227005]; [86368231; 76501915]; [416129; 11238032]; [31495041; 24993567]; [7597438; 62351745]; [98197650; 17264018]; [61421357; 47949397]; [88643780; 8839184]; [61713287; 3246574]; [52200317; 63333967]; [3702608; 36903220]; [6645385; 97774752]; [54663978; 21143091]; [91982366; 9448246]; [73361965; 3952133]; [44018616; 29033612]; [47476114; 26372493]; [86968974; 51147250]; [62214431; 40229849]; [51160979; 20347785]; [8548159; 62012279]; [6741671; 28128855]; [22992406; 97101140]; [54204764; 63561136]; [36467121; 69534665]; [75777678; 95305903]; [37293081; 86111307]; [50451236; 93228669]; [42379175; 2904997]; [36188135; 4252907]; [65038027; 15759812]; [32372968; 24370190]; [68133818; 90635425]; [17318449; 87831276]; [93069460; 4760125]; [47678662; 99883687]; [72692256; 87678619]; [24305397; 88728815]; [26438318; 3405914]; [64709710; 4829510]; [60678720; 95906832]; [68670812; 88590796]; [88547124; 38147677]; [36956292; 70191509]; [55556554; 85712065]; [54876906; 16225232]; [11064283; 26577822]; [54654294; 87092136]; [46442076; 85244476]; [99972372; 47235104]; [59857989; 3782761]; [78415150; 6682625]; [22013763; 20104773]; [91985785; 18482390]; [1617791; 45673163]; [64086174; 24799589]; [37124797; 58199200]; [98272836; 16264694]; [3622832; 11274991]; [85932813; 2065845]; [61718189; 19410796]; [61972154; 18155909]; [22549813; 9784981]; [93588672; 15188527]; [56791542; 56824225]; [15688326; 28200703]; [98349032; 57721674]; [57280764; 5211587]; [98714711; 97128990]; [77404257; 30893334]; [87332615; 69669776]; [41135087; 11689169]; [82035056; 88498936]; [53318539; 77602590]; [27236218; 91773001]; [87061677; 82818547]; [17758280; 80160580]; [60482247; 17372382]; [13654651; 63601291]; [77986156; 50683706]; [68974200; 60428551]; [44789380; 80591582]; [11271117; 2666871]; [8784905; 36273331]; [35911915; 90733950]; [22577508; 38249949]; [22189003; 88998346]; [83845588; 55340739]; [56260067; 76333697]; [63442117; 83531382]; [20746338; 46756112]; [38477624; 82722672]; [60928770; 52078341]; [79025323; 70958609]; [65635536; 57057308]; [59579726; 50140990]; [22192655; 86866862]; [71950145; 10714741]; [87202315; 27692011]; [93769488; 64922455]; [86007039; 48242145]; [5277255; 92665751]; [94094677; 54849218]; [67160022; 81579483]; [96757325; 45487349]; [92435874; 11317924]; [25037001; 2960535]; [48182709; 18820201]; [19638889; 4430059]; [98343744; 54958888]; [33714619; 42346424]; [22099169; 95266645]; [78033928; 65614793]; [51510377; 50284114]; [74714680; 93637751]; [2566670; 89767684]; [74537101; 37189103]; [13745019; 43143705]; [43377541; 41261557]; [88603053; 43137542]; [75268151; 86732608]; [53745828; 6200339]; [74157291; 14731247]; [57813900; 576221]; [40412024; 33540753]; [48254339; 90977087]; [17203661; 36907497]; [2520432; 83882546]; [20830871; 81951875]; [97103664; 49499177]; [73508157; 5849134]; [1897226; 93005909]; [30882441; 48742896]; [74186954; 60040223]; [30198285; 73288454]; [88842985; 83576192]; [18481797; 56567597]; [84268497; 83290302]; [69891057; 60595904]; [77162567; 37130354]; [67016842; 48790767]; [499262; 26027597]; [81054419; 93077471]; [52537300; 88538081]; [56964425; 5137208]; [25379663; 88106928]; [71685939; 16478647]; [84810657; 66928904]; [56809324; 87757558]; [93114993; 56615904]; [95308906; 89933483]; [71792148; 96718307]; [60770162; 46120543]; [82655048; 86130868]; [74203187; 80896621]; [43030704; 77272671]; [27639676; 68937986]; [36457571; 49130796]; [10212524; 75801838]; [74614215; 49695669]; [56761077; 4365537]; [52994673; 64782345]; [81454495; 576712]; [18462950; 91518158]; [15562489; 14719512]; [18668740; 75666760]; [95186598; 44404472]; [95558128; 25087951]; [78028458; 71978859]; [41280786; 21281151]; [91493412; 12730303]; [22397488; 25418738]; [47431444; 60347532]; [14954628; 94330825]; [76029514; 47007732]; [83449788; 94439073]; [51976328; 40901396]; [95530882; 93431774]; [84182880; 29463393]; [19440650; 30852403]; [38016872; 8116008]; [58106433; 97826685]; [93330794; 49877167]; [17367281; 78061848]; [76020486; 32065282]; [43026560; 11859311]; [73868722; 25430996]; [77528450; 55687381]; [41816195; 80687297]; [83315894; 64045651]; [63102527; 71355987]; [66795330; 54095776]; [11825257; 5177887]; [54446810; 312622]; [8713361; 49224670]; [25018246; 350668]; [73717991; 46807671]; [98422747; 42115537]; [19358996; 67756030]; [48307243; 99875592]; [11270318; 35389638]; [47770442; 41111368]; [98706464; 20401928]; [26518998; 8331211]; [48167651; 86605000]; [94237751; 97411700]; [5461571; 82311340]; [4288873; 48810524]; [86043055; 3640052]; [82953941; 92444814]; [84387762; 72610959]; [60002862; 66008036]; [87009767; 67997873]; [5910249; 76095390]; [68438787; 12177141]; [38492707; 27695823]; [56543906; 62262821]; [48443437; 61382069]; [36727166; 85067663]; [70558487; 84069672]; [8046252; 12194967]; [4930512; 75798426]; [96880810; 46103275]; [53038233; 69743153]; [91414389; 13060796]; [91789261; 55612621]; [11629615; 19243400]; [16636595; 51252289]; [35263978; 16420158]; [37138926; 41008306]; [19976179; 37323321]; [26913972; 87017868]; [89069016; 93351347]; [79691880; 15139653]; [20318741; 69714024]; [35063069; 97489940]; [3568908; 84909844]; [64424868; 80553384]; [12231308; 97415379]; [73412056; 34630914]; [94286234; 73504462]; [35151267; 99352034]; [89133346; 28796816]; [27371363; 55560911]; [71978586; 25286674]; [89974914; 93246479]; [82536312; 91035083]; [87930781; 42344855]; [85559364; 5307499]; [77548186; 7523635]; [71132710; 56309991]; [32739334; 26313336]; [51959551; 86081432]; [92998646; 24803086]; [33663582; 10637670]; [34642594; 23911712]; [91303726; 48917877]; [51769418; 96566459]; [97422899; 53799303]; [59884009; 87175701]; [51096155; 44124647]; [54499568; 19033366]; [29818719; 97733498]; [84763721; 26932662]; [16576829; 83954842]; [36926178; 20279955]; [38368391; 77397173]; [55908989; 55650999]; [11797729; 2063991]; [44124726; 62294174]; [43569914; 68771085]; [96456065; 49976495]; [22455757; 37397530]; [95227699; 30783661]; [15533634; 74151446]; [17646416; 97215938]; [64750098; 16888689]; [15532591; 66250235]; [53579351; 2073413]; [9788815; 29165298]; [1097940; 680403]; [92362532; 86518125]; [32097137; 70224651]; [13334642; 70066417]; [5249368; 32108928]; [98458983; 87292382]; [45194838; 6354246]; [41754709; 66112448]; [18749359; 52624860]; [42900237; 73535485]; [18622719; 32176858]; [82776392; 25406229]; [54502047; 15079229]; [84343795; 19163587]; [6177342; 858342]; [90619433; 94196538]; [42619443; 65324377]; [60333742; 55925521]; [88936895; 35716020]; [40133569; 6949801]; [83166794; 98092671]; [19704087; 89460022]; [33350034; 76728053]; [81184618; 73286716]; [83863181; 61221734]; [87317497; 83981371]; [5272206; 94103654]; [17124288; 94922941]; [53931910; 39909033]; [25145903; 52325376]; [77790650; 22492685]; [9660292; 56724669]; [763309; 99062922]; [68521980; 27922518]; [76194912; 14264034]; [89968816; 22071914]; [81623534; 82432721]; [51763576; 4561504]; [34009342; 28236266]; [97217386; 14074782]; [5897121; 42852998]; [44117898; 82924175]; [62079632; 64047430]; [19429516; 70549307]; [39296679; 75699837]; [59595873; 47830300]; [67479015; 84027039]; [70620620; 8069084]; [22563740; 10574511]; [41469454; 47659758]; [42283676; 59300128]; [73484348; 29947525]; [59817973; 45692435]; [97313292; 2639772]; [34839825; 1788954]; [29377007; 18581426]; [27321755; 56928500]; [38475302; 27337803]; [3221598; 71327241]; [28388311; 92519743]; [79783175; 50078959]; [66640173; 79651724]; [79670975; 83102493]; [99748619; 78712264]; [85528980; 87584290]; [74704214; 42100443]; [55341363; 29312479]; [76418615; 43097276]; [55430799; 68493326]; [79879158; 10710515]; [97661705; 61840617]; [60066693; 1151395]; [64938781; 9913747]; [38571007; 206369]; [99166308; 89857068]; [72058379; 1371264]; [93663562; 35548118]; [35048478; 89024939]; [53378424; 31358417]; [27107459; 3856537]; [64001751; 47816820]; [93070211; 10363356]; [14990998; 73996132]; [79575166; 45391767]; [14908487; 91240988]; [53186492; 86563251]; [55098018; 91553321]; [10923895; 87452717]; [75814742; 50020840]; [49345443; 98005377]; [85742126; 13452443]; [45241982; 66129524]; [41896645; 64368282]; [10694551; 33794218]; [62368259; 70524935]; [88484046; 52319921]; [42870731; 7180203]; [60905187; 99533875]; [85787712; 60345208]; [5468923; 85572672]; [37301780; 13839684]; [20541654; 4337988]; [43810695; 53158419]; [11049077; 44038580]; [86795063; 35692612]; [47373217; 70590510]; [50861747; 86774921]; [1670918; 95236598]; [37255380; 62638338]; [27302782; 75429635]; [48253754; 16840563]; [32549991; 63690902]; [74153510; 35346660]; [89954804; 49325041]; [4792723; 50958377]; [88108626; 86519984]; [80894393; 81770502]; [67120432; 8992067]; [11341293; 49881160]; [40580046; 23192549]; [1899478; 44925240]; [95758863; 1024892]; [50245838; 39585624]; [54526387; 55058124]; [37658443; 99738807]; [83588764; 16735527]; [96376825; 27919878]; [44400825; 82590894]; [47792831; 79757668]; [25187314; 54772254]; [5198159; 63774974]; [58191534; 6591761]; [89003507; 42103762]; [62766499; 79038978]; [6247905; 1399743]; [85310768; 18132644]; [96255901; 79378250]; [92680172; 28990609]; [42367851; 47596698]; [34167469; 57101897]; [62547028; 39080835]; [78187948; 53917711]; [5457464; 89175020]; [38757002; 3328223]; [92174629; 45789612]; [50075903; 38283266]; [18725925; 74898509]; [63899687; 57945988]; [25015726; 67911580]; [69090005; 27137509]; [2812450; 94444318]; [52835748; 25977669]; [98068860; 59999967]; [71791520; 28052723]; [56781301; 99217559]; [97225422; 5425299]; [60548530; 63409838]; [17964500; 407332]; [80050928; 33065203]; [80691640; 92452139]; [55674981; 67799247]; [63240957; 97087257]; [16232496; 43492710]; [73533570; 24411160]; [8315113; 88734244]; [96152177; 66323035]; [50555873; 71210272]; [97089982; 60166526]; [85814654; 8865437]; [64922598; 4066078]; [77888612; 67763355]; [9788422; 53457015]; [6907929; 23901600]; [18203821; 54143708]; [12660508; 6504374]; [92804133; 39992706]; [25895258; 86037056]; [75261594; 94254351]; [78931379; 43826763]; [9811300; 82900547]; [49230184; 42302643]; [42811615; 13951424]; [34265640; 74687390]; [48020393; 27363919]; [80729406; 92507148]; [70840006; 93963272]; [57846429; 27245912]; [90830598; 44248154]; [51460819; 17735404]; [13240271; 82372844]; [14181056; 52515657]; [1035753; 53838310]; [16155882; 65963909]; [22583732; 96997749]; [47674767; 28670916]; [73964483; 94546618]; [16413040; 69380893]; [49033755; 6789715]; [89784853; 70891171]; [63514377; 89581203]; [93611643; 11977521]; [13576206; 3417952]; [11231426; 20806773]; [90679145; 12859615]; [79364047; 70733512]; [69059080; 55198423]; [69213198; 65725428]; [40741293; 78493342]; [69023962; 66346237]; [62451801; 1058953]; [1216273; 17209687]; [52401409; 13396760]; [68965246; 27587351]; [14952040; 38189418]; [74193448; 216748]; [81405946; 86527843]; [28808056; 4416820]; [60536917; 26967310]; [33848852; 26625288]; [28562081; 17068217]; [57246464; 88937708]; [11917293; 30176855]; [52180405; 20073195]; [20697740; 3797272]; [54764194; 10098378]; [42038995; 97710769]; [9713720; 85513004]; [7852377; 66127933]; [86543218; 20164899]; [1509687; 73365938]; [65261601; 97169356]; [67561857; 87730518]; [96274959; 66729488]; [30653568; 72033303]; [8346959; 27783126]; [92794638; 20204679]; [2527346; 69382143]; [83010205; 83314011]; [65615249; 97695113]; [47669777; 8275549]; [98818583; 17194161]; [63160529; 16845437]; [75386864; 24222298]; [31342882; 13396253]; [6991984; 65477093]; [83289741; 23301029]; [64933214; 19679986]; [32616897; 73183359]; [95121058; 49179639]; [43792861; 58996730]; [53855200; 85783331]; [28671925; 71068489]; [84596732; 98467065]; [91899165; 70148049]; [67408553; 38702919]; [4910151; 120880]; [398999; 53376189]; [19856487; 73218890]; [90930038; 7932148]; [50664157; 20904746]; [19872894; 94918734]; [681696; 45328028]; [14589176; 26406469]; [76177072; 73788908]; [26947355; 70849150]; [44911040; 78773255]; [36925548; 45486004]; [14128981; 87390567]; [4120092; 34691767]; [66195263; 1122501]; [75154912; 23081343]; [5330898; 55669582]; [87227454; 13699144]; [279873; 62717588]; [146249; 35799386]; [91074; 75528514]; [39774240; 17283139]; [31675979; 11809138]; [23484858; 46601866]; [74935657; 86211317]; [5121403; 36517370]; [61385787; 67879610]; [28680180; 82491279]; [83268001; 99755066]; [58595911; 64522559]; [83469175; 58833876]; [35813114; 61783497]; [44341323; 62806059]; [65308321; 50648684]; [26890609; 39014028]; [23531139; 43930871]; [76765865; 18719246]; [78858229; 64617367]; [9331841; 40132785]; [27761878; 78158169]; [64740712; 78864868]; [88564799; 60703738]; [19484102; 98415397]; [14390378; 98652959]; [1649356; 31881466]; [40091355; 89463589]; [1274636; 26747415]; [63737436; 12632437]; [61935657; 17719280]; [78061911; 47207814]; [47735012; 30330959]; [17103954; 10636570]; [6446193; 50076981]; [20820645; 94020763]; [47696189; 6404984]; [92966438; 75474487]; [3334430; 35483457]; [92259796; 49611310]; [33583202; 643312]; [69234855; 217553]; [248563; 71947942]; [69948432; 57501381]; [5798777; 86611774]; [75369940; 2416029]; [85096716; 99044062]; [62713784; 78567638]; [15182091; 38151718]; [50341683; 90194045]; [4223928; 62634700]; [23280528; 3243343]; [18741632; 89433280]; [51658851; 24759783]; [88462226; 98560245]; [31025671; 45507624]; [92933510; 93467388]; [12557590; 43974105]; [24710292; 33491557]; [54687451; 85724677]; [85451869; 79935236]; [39819177; 19439786]; [53713715; 34840115]; [4632790; 23216720]; [84780582; 11516408]; [41796571; 66178543]; [91046051; 5840647]; [47245805; 21371127]; [81151777; 50657966]; [97230488; 72203819]; [69411301; 5688500]; [55480161; 90389298]; [61776069; 59013434]; [97292849; 23242135]; [46531088; 87084295]; [64024902; 93142523]; [36617770; 65850025]; [65418073; 26190269]; [27922485; 77624535]; [12955602; 93398722]; [36988002; 60539661]; [44707890; 95455584]; [46301336; 30432420]; [27431309; 71219375]; [54787777; 81059960]; [1931642; 17074617]; [18331306; 63840547]; [29409932; 68302618]; [56569838; 36033029]; [54259202; 86832136]; [44852300; 82707482]; [65129512; 22591377]; [17720817; 27572095]; [61767809; 38676966]; [45648864; 44886268]; [59457149; 78536617]; [51375325; 99943910]; [30780844; 31413024]; [64504660; 95323324]; [40757642; 27373414]; [348928; 72683745]; [47398851; 17233647]; [95122603; 21769248]; [80083850; 67221623]; [12965203; 31774535]; [83274694; 79634826]; [53030461; 18391009]; [46090361; 20925910]; [66639951; 10356479]; [49876107; 28161572]; [41778266; 70066331]; [32604441; 34962763]; [23158382; 28976852]; [14208727; 85492711]; [90048129; 1040878]; [99325379; 11877505]; [84746540; 21641304]; [3697662; 44929911]; [1706163; 38852666]; [34378487; 40120275]; [66045011; 16991350]; [17918935; 80906751]; [22496487; 29146802]; [51801795; 90280986]; [61180286; 80885163]; [10815827; 74586332]; [57074874; 9953780]; [8898766; 84165613]; [16224180; 44556910]; [47989591; 44971406]; [72730768; 4963874]; [28228407; 49964623]; [91073780; 98218245]; [60491099; 63324259]; [137572; 59078973]; [38301497; 17923595]; [10150819; 54488909]; [42869162; 87619094]; [28253153; 45578318]; [87801920; 98199963]; [73263734; 13708148]; [84636737; 7971959]; [37714391; 37317886]; [43546360; 64876518]; [6013471; 66737169]; [34407252; 70157543]; [99722669; 28961344]; [80062801; 48227258]; [61150769; 40946815]; [56306967; 87155431]; [98493769; 42755108]; [55583488; 32087102]; [77756692; 81368905]; [87063838; 54366847]; [59612535; 55142689]; [70567395; 29691973]; [10325103; 86691923]; [71715930; 45412617]; [56353605; 86085758]; [97481692; 80166219]; [27975474; 47555597]; [99744175; 37477327]; [62489140; 20749723]; [23639594; 59035358]; [85692923; 34886426]; [12999582; 9788766]; [18121469; 19089518]; [19980713; 55375773]; [19058924; 73746442]; [14870282; 71285701]; [61345733; 24892271]; [88089127; 38066303]; [67312454; 8881851]; [60570475; 80034872]; [75278636; 87984116]; [89036949; 82039900]; [59218037; 57399979]; [91427680; 54594159]; [53107992; 39601812]; [92650224; 54751582]; [52148488; 67762413]; [89874520; 43736476]; [66219959; 83938984]; [43498627; 26488251]; [49458215; 37519658]; [7337167; 3408960]; [37263286; 26305415]; [91931189; 79184806]; [94049281; 55946977]; [65505890; 8550750]; [57825081; 21664088]; [66863483; 44932204]; [3064019; 4996204]; [23300665; 63485130]; [87737165; 47323901]; [14282753; 95286208]; [97661189; 1561086]; [82796797; 30123831]; [20453303; 88832739]; [55469652; 34149726]; [56833145; 37536865]; [45466201; 10479356]; [40173866; 37575789]; [87955881; 63676916]; [51892390; 5521506]; [75206651; 94152513]; [66521580; 84702293]; [82412392; 39391383]; [60834301; 71008813]; [16917423; 1671454]; [11559789; 80722755]; [19433478; 2204939]; [34968998; 64477782]; [11454122; 16158922]; [61922567; 9098864]; [69900666; 47464546]; [12154358; 56996597]; [48238472; 89152544]; [31275623; 40189372]; [45649478; 24536523]; [13099233; 88705097]; [12135078; 53076176]; [72758239; 63636948]; [16615984; 45996886]; [91416129; 54756]; [35992838; 26234685]; [3954339; 97935233]; [87780192; 74368793]; [41062502; 82128531]; [4961296; 62864798]; [3835550; 24777259]; [9746066; 89586605]; [31354549; 14469885]; [50852778; 62219612]; [31811891; 86344447]; [93683498; 72852367]; [45404621; 5340577]; [97043354; 2890072]; [50108855; 33458017]; [20816570; 35637840]; [79796153; 15060348]; [18864194; 97319596]; [29882939; 14247622]; [65434624; 20688153]; [60190206; 74849802]; [7809301; 5603001]; [31403482; 22108161]; [16476180; 51944286]; [65182592; 73515311]; [40861381; 78899442]; [83046624; 20462122]; [96236248; 15259061]; [8385455; 86581405]; [89717527; 88203618]; [56294482; 65422702]; [32734341; 66450537]; [69857904; 70689357]; [27703657; 36051880]; [883509; 81768169]; [86622084; 82981317]; [84670013; 89068422]; [64798509; 80886098]; [49173389; 49395712]; [982914; 13665456]; [61065121; 84973403]; [35259291; 68123469]; [53084902; 77710705]; [89194522; 61324748]; [81332822; 98158974]; [21651749; 81450465]; [40721871; 6894681]; [69268652; 19724899]; [19215717; 35534188]; [13176206; 14219684]; [2886538; 42563930]; [92228844; 93344992]; [79478037; 87348194]; [63218600; 1162995]; [45312548; 66563724]; [70908231; 30603983]; [76561548; 2757456]; [86861872; 67080265]; [92339195; 87814101]; [57870381; 60102188]; [46162920; 35128358]; [86544793; 69801022]; [98143062; 14615755]; [73919643; 22781040]; [66880728; 43664905]; [33281577; 47272360]; [79009729; 20168367]; [63431161; 23385712]; [13835536; 10757166]; [45895622; 56789063]; [10695089; 4037566]; [33354834; 84676494]; [33902719; 99041540]; [81352352; 87152508]; [48059068; 16175292]; [5296158; 85251968]; [73330856; 15024553]; [97175750; 419047]; [94187238; 48846869]; [62049550; 48079029]; [802180; 771417]; [24600386; 88357600]; [38905987; 7376164]; [14999877; 28279889]; [16070385; 56595628]; [88951522; 68361505]; [37540415; 44725873]; [45847874; 94133278]; [66916604; 32047442]; [37422744; 64887443]; [2725059; 60116265]; [32020502; 57139543]; [38725538; 22097098]; [65396139; 21804620]; [43043944; 54921596]; [21430804; 88251304]; [29919610; 44775620]; [26418865; 86469158]; [59342221; 40998315]; [25414188; 75800945]; [11500102; 1838343]; [13855497; 64139010]; [3633126; 26843679]; [1257995; 3259324]; [59808878; 51832572]; [21943105; 45342802]; [24774844; 85852053]; [42395391; 40141793]; [86625677; 68491236]; [13014658; 6129793]; [47922597; 70624419]; [59740652; 61491392]; [4115287; 45896871]; [9861780; 10441402]; [80694941; 92497201]; [30850447; 26800087]; [83840988; 11988760]; [47311498; 55383594]; [99680514; 71373510]; [74784362; 97365439]; [17458403; 776152]; [75316229; 78554905]; [22434184; 46447981]; [82212459; 43808058]; [548188; 30605582]; [82001390; 84013456]; [54982939; 55168755]; [24376605; 41736391]; [37310685; 53630671]; [11636179; 50407102]; [48807372; 29212982]; [46078574; 83770746]; [94718839; 26837281]; [76566480; 71548518]; [14527023; 27901456]; [17620362; 44863434]; [57168708; 67914616]; [24893532; 75062051]; [4491993; 3989055]; [57742220; 49300750]; [54825081; 57366898]; [49533985; 9836256]; [46988698; 96874573]; [49949179; 22238728]; [80987507; 89094314]; [7878968; 11628463]; [17955253; 544066]; [12629542; 93806020]; [98210506; 92486940]; [29651083; 9363282]; [21422060; 98921929]; [41010434; 53204288]; [78201784; 47327679]; [69256284; 60021125]; [34312897; 58810806]; [57325021; 28810702]; [78791025; 50268255]; [99795453; 64293841]; [86772857; 94145412]; [22664615; 16098654]; [15894495; 48284416]; [49986853; 60702035]; [44450057; 36899606]; [5802234; 99922210]; [22691276; 92260547]; [95497681; 79917426]; [80611767; 92448188]; [15800275; 79664385]; [23967379; 95177452]; [67614316; 52870469]; [76969911; 86287677]; [72991071; 53713676]; [71467041; 78929867]; [11523047; 26445611]; [33745173; 13653802]; [86590105; 70468763]; [38806909; 28158515]; [76339826; 37229217]; [10825556; 73272670]; [98094160; 82809744]; [85251010; 9669055]; [50043785; 4066389]; [83999301; 21812515]; [12939765; 73880237]; [57214357; 69241068]; [33247226; 34669836]; [13252373; 63869810]; [76925030; 66229791]; [96849231; 20882912]; [8122384; 79662045]; [6868602; 5397373]; [80718815; 87479964]; [56215883; 24531263]; [19621605; 51186921]; [90144326; 32811027]; [83697591; 71536654]; [2827656; 21270684]; [51622342; 25364415]; [60127081; 94412172]; [80798164; 44075125]; [29534282; 30220061]; [75210804; 64899748]; [27078715; 60707444]; [92275385; 54853338]; [84907633; 57111130]; [13094552; 31018498]; [30441077; 1392819]; [25252876; 65051960]; [93180103; 96013759]; [9801215; 31235096]; [8772097; 80923759]; [65322459; 8017679]; [11425933; 65234650]; [46190734; 77687228]; [39638135; 18371242]; [65719934; 47414006]; [77982962; 9045723]; [96942349; 76401319]; [60825046; 5836215]; [23518986; 88290061]; [42403389; 98549372]; [80408795; 12892910]; [12465164; 24236265]; [14956674; 58968414]; [85803139; 30026905]; [69090257; 45081084]; [79270311; 5171692]; [36210825; 92242966]; [66659914; 53254277]; [28270469; 52370848]; [62644170; 35130937]; [55351936; 33995330]; [88939344; 95295527]; [78079047; 57168509]; [14489675; 57794122]; [69336997; 44034270]; [92086127; 31031779]; [7655541; 8412425]; [3552357; 5295241]; [41050768; 21293645]; [53769186; 46723593]; [96021698; 25015312]; [35338649; 45334688]; [37958669; 82819346]; [63563320; 6091273]; [50583885; 63424155]; [19218121; 88311421]; [58336864; 27987809]; [49202914; 7477416]; [27683925; 3922957]; [84476928; 28649936]; [2914784; 2122628]; [84659086; 33927593]; [18842434; 27476951]; [76127976; 75313398]; [75884131; 94557883]; [52259659; 17233496]; [18367993; 95243382]; [76384966; 23174577]; [9510247; 55969698]; [82644540; 10601118]; [63527175; 20970653]; [37425517; 82654048]; [72185000; 8471452]; [57637188; 73749079]; [59915012; 29091631]; [48710259; 72259912]; [56234583; 43691857]; [77184029; 7856158]; [81267812; 16469034]; [27220416; 26733644]; [60103598; 31821993]; [41990255; 50552374]; [63087032; 82616685]; [84645762; 35212277]; [97837339; 99395233]; [28662677; 63793708]; [77603240; 72262022]; [34989372; 5262970]; [14925435; 76587179]; [26914481; 26105670]; [2330288; 64366974]; [42827183; 22692261]; [71891242; 37843184]; [37773715; 64173364]; [92272928; 70137762]; [76513653; 68473852]; [44839785; 15406674]; [67867817; 23374174]; [2000558; 20521724]; [74037968; 32397505]; [56827028; 67825047]; [18915146; 57465308]; [46328900; 1983620]; [51964682; 58359279]; [67802350; 87119487]; [98481430; 62841637]; [36623682; 66468577]; [91729070; 9806960]; [6398366; 78991310]; [93613216; 52604096]; [79291977; 70916461]; [26149966; 22872670]; [67159297; 53243889]; [38389070; 37110032]; [87524574; 38105593]; [58101191; 69032982]; [27198259; 47348611]; [90914356; 19483876]; [5528264; 42861194]; [27574029; 28813186]; [27757182; 46334749]; [88828392; 51756217]; [73310016; 13059653]; [94795190; 28213148]; [22088539; 7840788]; [54863999; 67595244]; [11825680; 97986556]; [25924996; 9790553]; [980040; 95461085]; [76164770; 91248343]; [43272503; 35354188]; [18867007; 10656119]; [89618878; 68822367]; [21131535; 69240581]; [78038653; 27362682]; [51714963; 94916085]; [89214096; 40970464]; [38379100; 21267952]; [55359732; 36422819]; [88237937; 11895001]; [28352365; 93874263]; [41478804; 44461803]; [6474009; 25874072]; [61669069; 87503464]; [59311011; 24025766]; [48515149; 68846669]; [23778445; 20878253]; [81300776; 40256781]; [8028849; 57030966]; [62185431; 56579978]; [43308830; 16617226]; [56250324; 51395040]; [83075440; 87549875]; [15881887; 10934362]; [39621460; 23976931]; [39131574; 6363086]; [88914590; 51946830]; [50019033; 81064871]; [39049171; 54751242]; [70058720; 73756204]; [4212167; 33776523]; [94341527; 7171533]; [88610906; 57943706]; [9764021; 20314175]; [64243379; 89641559]; [53911867; 79795238]; [55554236; 25207328]; [44697157; 16796863]; [33860452; 63480616]; [37235598; 77071522]; [79580560; 80665420]; [98588004; 41775857]; [22345835; 76732318]; [96239393; 46558064]; [42010155; 65432282]; [80725519; 94644509]; [69670753; 91057964]; [20973469; 35292361]; [53100279; 25349004]; [81531920; 37330914]; [99355436; 96973978]; [16607910; 37339031]; [5671188; 27671507]; [61793693; 42035664]; [48837176; 15370591]; [78221957; 62381701]; [53069416; 87335770]; [18522521; 70554973]; [41324570; 24990854]; [27153246; 37112518]; [69080679; 33791954]; [99203739; 55313440]; [94095163; 84976362]; [72943941; 49666890]; [52174333; 86143151]; [88893468; 89922961]; [50192952; 83254904]; [10411112; 3589861]; [93612683; 72292050]; [59606435; 72465952]; [84990782; 3542574]; [19402218; 5862636]; [39843271; 65173976]; [54864865; 67868407]; [33069710; 81472976]; [40963239; 45643993]; [41679313; 24184395]; [28104321; 99890529]; [39561767; 73872011]; [46250612; 11145121]; [67692104; 91420672]; [8683039; 96174241]; [54308213; 52582973]; [44796053; 64389638]; [17380525; 84443946]; [49759408; 7232885]; [6966549; 26666856]; [53498035; 70440402]; [37190612; 36834731]; [30681083; 9373772]; [82823074; 42292918]; [28431754; 90190123]; [90566719; 6329689]; [21994934; 95202312]; [9217346; 87560892]; [34982650; 81747209]; [48847340; 51984709]; [72670145; 71517187]; [62516202; 3358383]; [70504840; 14397083]; [73084951; 10951977]; [13166048; 55780533]; [2089494; 11498758]; [32670825; 92177905]; [23080773; 19808875]; [55916624; 96044988]; [35455981; 88173689]; [57795724; 36624637]; [14628943; 48221061]; [36139346; 10248011]; [4207115; 29279045]; [46515129; 7246194]; [63990499; 41055990]; [52204272; 35535875]; [51319082; 97816221]; [2405051; 78495135]; [90332331; 62280203]; [7439126; 13880934]; [11093379; 80846680]; [12530077; 43804804]; [73936629; 90367734]; [69247508; 76619450]; [82013916; 82507949]; [92583666; 37075010]; [50862089; 57519660]; [64194614; 9507667]; [44091557; 48607815]; [16663637; 19628990]; [78951704; 38873488]; [19384056; 97893908]; [38261058; 40059700]; [47331221; 85131289]; [65765408; 59400014]; [95390085; 33576903]; [42715174; 71527507]; [26529673; 44845865]; [69534919; 53168451]; [85042768; 79372758]; [75362738; 40344890]; [78338223; 66325894]; [17347982; 58365566]; [20247221; 12827353]; [22023945; 69710711]; [31160375; 95837875]; [75400598; 88858332]; [66332735; 43616716]; [94032502; 70348879]; [55048295; 67237356]; [75423706; 97721011]; [16711078; 13108263]; [26998217; 89525098]; [61543129; 76612048]; [92066468; 38724575]; [16650752; 86273960]; [10457598; 90378460]; [5103661; 35744301]; [8206780; 68991898]; [24975360; 97729274]; [40891576; 45294755]; [80504205; 87287203]; [16373755; 75854343]; [30491598; 97633588]; [33578441; 39300051]; [36882694; 76868593]; [28564189; 46787632]; [32365011; 66935094]; [14748081; 34819012]; [4205293; 87418595]; [35586608; 13497946]; [82507356; 5446599]; [6993974; 8329945]; [40594808; 73020275]; [91724749; 39909250]; [99923878; 55073543]; [66954811; 5555835]; [41301815; 50261006]; [20729807; 90225891]; [96547261; 76888145]; [85669763; 33548126]; [32850022; 40052923]; [57774988; 66459808]; [88994546; 71355032]; [85542991; 54146992]; [41179746; 34498546]; [56835929; 98093561]; [72894110; 73431475]; [81097524; 6325129]; [38379009; 8843867]; [97477590; 64120982]; [43154036; 3055091]; [18903938; 54932493]; [35995044; 66340472]; [83662385; 80975571]; [47143042; 94293856]; [83478957; 68205858]; [53409953; 79498683]; [43855439; 52716930]; [58812868; 7480317]; [95907752; 50841917]; [14678750; 31119803]; [55912146; 71308104]; [73477844; 54846437]; [42837327; 54701007]; [1674285; 69346252]; [34339330; 54716661]; [52908574; 69599879]; [55417102; 37277428]; [13045123; 73717309]; [75643530; 38518951]; [51585431; 85076872]; [89064924; 48336598]; [17251946; 94290768]; [1719394; 95321087]; [63141362; 43002735]; [27719703; 72195257]; [76558345; 64556153]; [45567507; 68438844]; [73749881; 98239198]; [74388330; 52120542]; [36142187; 5643802]; [22319159; 7186876]; [70581229; 79065306]; [57317947; 12809178]; [15954508; 27714796]; [2300553; 9916553]; [8530094; 88689849]; [55990789; 89479206]; [4999753; 61721485]; [29393813; 25742902]; [97573385; 84955926]; [95259853; 25266081]; [24073298; 74190555]; [85424579; 79515288]; [79749348; 30451973]; [92223412; 62059715]; [89567769; 47104523]; [50759294; 4923846]; [81804174; 70972473]; [23756699; 54123535]; [13503995; 46860294]; [42286623; 89546569]; [13177928; 71504543]; [1835297; 86938084]; [83696724; 84307431]; [48303327; 6596238]; [5481546; 15338689]; [97231402; 48954834]; [6270279; 69236385]; [75039071; 9476915]; [76344796; 35418568]; [49559069; 63362509]; [55155435; 96901331]; [93153533; 86181271]; [57922948; 1172121]; [7156638; 89276349]; [11070936; 58655341]; [97887427; 78471360]; [99177957; 85820973]; [49891776; 3680403]; [30778257; 50100781]; [56285498; 30883449]; [11323952; 21088784]; [77585661; 71792877]; [79018767; 19773739]; [6284314; 1919051]; [76105048; 25516800]; [5226322; 9011690]; [21421409; 16799419]; [38919720; 28018320]; [55512127; 5111681]; [86079684; 22524691]; [75193718; 87036052]; [68906802; 88085976]; [50439886; 84314826]; [2489742; 7477498]; [28482203; 26467898]; [680267; 59409896]; [70750283; 23638575]; [83152320; 28132909]; [44369045; 98257865]; [4680379; 72063720]; [57504427; 20898763]; [62515778; 54599318]; [38624879; 63352552]; [15255287; 54792664]; [88978302; 4235203]; [38072827; 86646552]; [33681287; 57748553]; [90599216; 15929092]; [11789637; 39738255]; [13726299; 76041225]; [19859312; 94933170]; [89351144; 80904698]; [42094859; 33289534]; [77074876; 94534970]; [75331159; 54317887]; [93810097; 45815449]; [43894654; 98833245]; [3638529; 31806527]; [74000911; 46360535]; [56458269; 10413139]; [78686203; 67113623]; [4479937; 84542942]; [28428257; 55474468]; [80477207; 97866431]; [32935616; 60887235]; [18908122; 29622880]; [15816047; 374511]; [43854541; 71639118]; [83296181; 79543588]; [27127124; 27600647]; [35793396; 90223896]; [94319148; 67511126]; [15049228; 6449791]; [46003576; 2491209]; [19362754; 37727604]; [99111318; 88897203]; [5769799; 60622542]; [23312379; 92109382]; [65880956; 48537444]; [82486988; 87261579]; [19452125; 25238427]; [33798213; 94687584]; [72902320; 28496110]; [56359313; 40601393]; [82519570; 86509773]; [16961574; 72206243]; [82693966; 18937516]; [97210983; 54285536]; [40168714; 52675506]; [72023325; 55855191]; [90454594; 9238409]; [73005694; 47276787]; [86987522; 74521301]; [27675479; 18635589]; [22032261; 26059995]; [9088223; 55876449]; [86397876; 71744643]; [49738121; 15353307]; [15107047; 74993501]; [34229265; 17894011]; [24988149; 11813519]; [30592125; 47815973]; [55533392; 83727209]; [17911282; 1986683]; [5646674; 6866158]; [14391228; 66896091]; [87493063; 18540326]; [6900664; 63584250]; [86847605; 67685663]; [35598627; 36286854]; [98850621; 47001524]; [25683548; 94522860]; [14261325; 12298967]; [32860995; 1095760]; [10491014; 99600132]; [48237514; 19987546]; [63764596; 86963826]; [13779589; 72378978]; [90306766; 34231502]; [11449740; 69620913]; [66343140; 88702952]; [38380517; 2066437]; [60086254; 88817849]; [57502827; 3835941]; [23920798; 9676969]; [25783132; 18140718]; [14065520; 61482209]; [23027018; 80996382]; [11444356; 43370703]; [3162280; 71162341]; [21006090; 16865878]; [48677204; 42307684]; [72384967; 18762141]; [23434570; 58243644]; [66707328; 83015173]; [376482; 52243569]; [12912762; 73397229]; [53393451; 35001800]; [64853195; 74994168]; [46160001; 92566051]; [14509647; 56047887]; [69863086; 12086105]; [67456560; 40274647]; [69671653; 42138206]; [44570531; 18801035]; [45700386; 30323307]; [61523200; 51163062]; [5158109; 51707662]; [13392040; 93889278]; [91098399; 78657946]; [48731031; 69500557]; [67437346; 74167615]; [66339391; 13845576]; [80977481; 86415734]; [70010594; 94468266]; [79863599; 23542824]; [40128684; 26938314]; [87857409; 76291833]; [6320919; 79700311]; [39439703; 10606682]; [25982227; 3302193]; [39907249; 68414197]; [98717935; 48234605]; [72449503; 20238082]; [89611852; 35227074]; [8811084; 3612541]; [55996288; 65683603]; [57006826; 77909438]; [82719169; 20186371]; [32177066; 60010412]; [36132596; 7686734]; [70763288; 14617110]; [98423140; 7222433]; [50823911; 53856947]; [28015499; 39574647]; [98647594; 72991164]; [69951845; 12558215]; [2762164; 8017823]; [77061355; 37497155]; [20104807; 89272069]; [41809725; 56763207]; [75882193; 34754577]; [23434853; 40859542]; [26672109; 9674177]; [67627812; 11528800]; [84206069; 52347660]; [31285430; 77919137]; [72352400; 87476268]; [41362430; 73014519]; [49870685; 53059008]; [1119995; 12772933]; [34490159; 49015581]; [83226148; 67694187]; [82026041; 65650380]; [51198794; 10394799]; [90585412; 59354094]; [70778530; 89090810]; [24366445; 13345491]; [33320178; 40650937]; [48783823; 2066870]; [60763928; 43585628]; [11755768; 4090351]; [73208764; 82199509]; [13601613; 20025712]; [68014384; 44952694]; [19356953; 35726571]; [91411364; 9669603]; [72062325; 54520687]; [20473142; 68633162]; [90201630; 96957970]; [2887977; 67904098]; [36565804; 9765517]; [14102990; 6554287]; [88555891; 78013778]; [47803137; 76160246]; [90104718; 69660291]; [68542643; 45938626]; [63701225; 64593392]; [42036913; 13381091]; [20917076; 30819063]; [55864847; 94130625]; [41630495; 98914825]; [12684196; 33150807]; [26992395; 80935991]; [19107934; 50257071]; [35262577; 72093898]; [11611103; 34015325]; [14423976; 16707584]; [95262159; 40448617]; [74950991; 62487671]; [44199481; 20793343]; [3363520; 14536105]; [61005180; 32969840]; [70130522; 17019502]; [69708263; 51589163]; [44347098; 69942244]; [32851894; 82401507]; [86516462; 19084804]; [91259636; 32171010]; [13397834; 74751777]; [85043700; 39453104]; [57920559; 78006179]; [8480245; 1160427]; [60884120; 2126133]; [41322383; 72036313]; [87752353; 79586337]; [72333940; 54358491]; [79841696; 61904845]; [4321578; 44573270]; [48846855; 55215373]; [27924231; 49648088]; [46894336; 60258300]; [15451325; 17852210]; [14302733; 38080964]; [17231664; 77017623]; [141185; 98289274]; [6179850; 47608350]; [72010993; 8828796]; [61823674; 6340926]; [90466167; 95312186]; [81217580; 1779204]; [50853330; 18538222]; [89550804; 77768196]; [39948724; 48681463]; [36100685; 79229959]; [10956342; 65802369]; [15987054; 56525234]; [71920793; 97798938]; [24681857; 38089880]; [34669410; 85155980]; [48125389; 10003318]; [39599862; 6850928]; [50676987; 90745754]; [47646631; 48706440]; [7554368; 60023165]; [80577612; 58959254]; [45317981; 77829039]; [76253977; 46635837]; [25910043; 99719402]; [50694763; 1231300]; [50514116; 57752384]; [23447837; 6018562]; [66108824; 70192681]; [10119331; 23642743]; [30408267; 24621655]; [24287726; 91779080]; [81648214; 82359462]; [18352329; 42930749]; [5878757; 23988639]; [94798361; 40804305]; [70286853; 57483330]; [48947790; 86709449]; [69486778; 28230191]; [17227172; 29458270]; [88680425; 17634744]; [94645029; 16364303]; [73921305; 49942169]; [65569633; 30962022]; [8820885; 26825184]; [69693862; 51373800]; [76739341; 56351841]; [4923311; 22235529]; [42823810; 2153711]; [44942744; 94520988]; [55146912; 75948823]; [28061830; 6004207]; [8472941; 97868334]; [27889136; 78642027]; [57776679; 7097255]; [84465463; 7027215]; [1523124; 13181524]; [22300091; 61470158]; [16870579; 25255456]; [93356159; 34113370]; [5451828; 33516103]; [7133845; 30468030]; [38834670; 41189582]; [61993939; 67261069]; [2605925; 38922688]; [52963955; 66930279]; [36210580; 86031245]; [86084213; 75034163]; [73552882; 37620270]; [26451585; 55942552]; [46431418; 94271324]; [37026175; 98151707]; [95864018; 71923803]; [47604067; 79653172]; [19801946; 81965706]; [19331272; 94615692]; [82269292; 85555918]; [48919805; 76819809]; [64875350; 88312686]; [93669536; 56805511]; [10022923; 112137]; [28288957; 24918762]; [36658612; 25133374]; [88739976; 92664135]; [32724673; 8595015]; [6614025; 35972471]; [86133676; 84472589]; [88466941; 16117476]; [22996824; 45656197]; [69660402; 12853465]; [52006012; 8531140]; [21844627; 62634984]; [22790481; 1345861]; [4721149; 30682590]; [17108618; 20783131]; [40780211; 89079755]; [80325793; 90983600]; [76498562; 61216609]; [17099644; 58554307]; [53977866; 64294002]; [45745407; 87015201]; [94272071; 57503473]; [45476902; 3107767]; [98350783; 75158634]; [35684870; 74010861]; [73948562; 31348929]; [15477151; 73260561]; [76407687; 51511652]; [29785663; 88545221]; [65268829; 4069754]; [47197616; 3974606]; [82952980; 44856921]; [54025512; 11056700]; [71147935; 44447331]; [36414238; 95630756]; [18732938; 41301619]; [74767186; 66238048]; [84617271; 30703831]; [82075834; 56295809]; [6926342; 47760662]; [15952122; 55639289]; [50399407; 83723001]; [75345142; 59383752]; [2260365; 5057032]; [92711651; 71178520]; [17627093; 93969704]; [22051851; 50168550]; [10221462; 59097312]; [41862916; 29780677]; [11226009; 56190184]; [74717438; 72058398]; [31191173; 82558906]; [26157031; 1630715]; [65057040; 49309573]; [37202038; 59674718]; [78172106; 51308374]; [18959646; 38575710]; [7786515; 27927048]; [14459484; 96239593]; [88024077; 81621461]; [77001549; 12540736]; [33787280; 49681349]; [32356603; 69898398]; [42278862; 51819112]; [22840314; 75226222]; [83372224; 18240059]; [89540622; 81863248]; [84828055; 1631966]; [9326607; 54567711]; [30067454; 2301586]; [67459845; 55717988]; [32441568; 13405363]; [9486714; 96794458]; [55090727; 13663722]; [42074586; 92896837]; [28352181; 16147128]; [50923874; 17663629]; [87792284; 34900476]; [22155521; 98782576]; [9372683; 99953085]; [1147181; 12764999]; [29389579; 33486489]; [611458; 30146572]; [16593501; 2168768]; [61327536; 20470038]; [6921287; 86050412]; [67221810; 63399989]; [76014343; 74750041]; [60730729; 29045940]; [8187140; 4252409]; [12172066; 33467154]; [73472288; 26795060]; [70255464; 36001169]; [39026076; 1659602]; [16238770; 85431085]; [64523353; 96231618]; [57607957; 82457025]; [22972111; 11659173]; [76948302; 4850181]; [76262053; 58895874]; [15962632; 7429978]; [85956503; 86413039]; [49402059; 83100179]; [57921151; 88570822]; [99295460; 43367999]; [99287018; 33032417]; [50317048; 49214410]; [36241064; 43719772]; [88515094; 71794763]; [9553228; 95998849]; [56098724; 60996531]; [63038891; 80252055]; [8248158; 14234551]; [47159464; 31937224]; [1393670; 50136525]; [1196366; 84563468]; [141876; 76590028]; [32396811; 31641866]; [36088078; 82505197]; [66277020; 51326596]; [10547146; 78770152]; [69893970; 88784719]; [69400605; 85788911]; [51756715; 34860054]; [33430423; 35663878]; [70719124; 71165551]; [69515779; 32018150]; [76191160; 74555776]; [98147154; 39729728]; [20918037; 11361027]; [99692495; 18438356]; [14895532; 95241485]; [9688848; 69238332]; [33335965; 75071772]; [2876365; 6702048]; [3756906; 58215801]; [82982215; 95099257]; [26656004; 19330381]; [11981487; 68829635]; [82292595; 24990426]; [79553407; 2438642]; [69574556; 4980905]; [90176531; 50390471]; [55911811; 46070962]; [69286050; 79394362]; [59176306; 83216710]; [28217037; 19597915]; [6709017; 81841550]; [62120441; 84219570]; [59358756; 48281357]; [33666591; 2060657]; [89865088; 39188002]; [85255204; 95460502]; [69485039; 64145581]; [60066130; 79093998]; [77823270; 5238131]; [91530596; 84607408]; [16586917; 3175617]; [95481458; 47956065]; [31480207; 33390173]; [45473794; 51132575]; [55176250; 41267367]; [4077573; 42519974]; [66280423; 77690456]; [68632732; 9201259]; [74875980; 14178234]; [38320286; 39713799]; [22257369; 68791536]; [86412525; 32693548]; [89370722; 4535428]; [62487495; 58131442]; [43916279; 58935397]; [37239777; 95660460]; [87789731; 92424886]; [390003; 54453944]; [16488032; 56578776]; [3429115; 80154309]; [9451282; 98680733]; [53538465; 37291847]; [21855480; 48845655]; [62533129; 2330713]; [41427368; 83142929]; [57176668; 94267702]; [15495871; 65661547]; [49143769; 80042546]; [46164587; 84460523]; [55305222; 7201392]; [45176892; 23787886]; [34009137; 46363482]; [84636570; 55781347]; [56203225; 36446840]; [77109359; 27406082]; [54444973; 15414144]; [30841919; 59530528]; [76736458; 40732963]; [69920526; 85618478]; [92442969; 47921493]; [65377897; 86523898]; [95901513; 88508856]; [77029244; 495938]; [31609391; 27971119]; [96508830; 16340793]; [25939074; 90561781]; [5320879; 90814968]; [11923452; 29073847]; [21803950; 13625201]; [60764320; 36105905]; [52917101; 62979385]; [2887423; 1393423]; [59742922; 31154852]; [34455509; 52758410]; [49734749; 49597164]; [51510257; 29009146]; [50480984; 72116030]; [98359948; 75690996]; [27297243; 99076983]; [26735124; 69172561]; [33117722; 10922320]; [45175674; 15035556]; [38203934; 43704143]; [76611755; 44481057]; [44834966; 82370054]; [21196087; 99809564]; [34315156; 72838192]; [91794918; 31222210]; [28824480; 11500602]; [38727373; 96775946]; [83166537; 11712775]; [66422848; 82995156]; [84456497; 21791478]; [81865366; 74937923]; [25066415; 32926582]; [44953231; 47849363]; [3358137; 14346120]; [98399063; 98430684]; [25212830; 6502686]; [16780983; 37745858]; [96640269; 95326066]; [73109031; 80118836]; [70114560; 42250976]; [37923979; 90917491]; [4379991; 72449688]; [56740087; 71849771]; [78629838; 76939075]; [39874261; 57752740]; [54437992; 43483192]; [13080974; 63978041]; [83873629; 69553478]; [2477801; 27008350]; [39460703; 7605314]; [47483580; 54341722]; [36273415; 73492761]; [73044809; 54384211]; [56535044; 86325992]; [62380849; 45405227]; [85059424; 54915499]; [53020036; 56196515]; [81188874; 8345807]; [95259643; 70750308]; [70132301; 18970718]; [75675198; 12388354]; [9014492; 80674599]; [79458941; 71422100]; [76478102; 79149514]; [97116468; 57724194]; [88585667; 88565195]; [6366846; 1925881]; [86468149; 71459078]; [79066844; 78817335]; [90106088; 33149794]; [1255724; 21615101]; [60394073; 7771556]; [93209289; 98018311]; [34388657; 34976793]; [67217386; 81546939]; [26670337; 8028312]; [2447103; 20241348]; [88907566; 86010957]; [92316575; 40364134]; [55256512; 80591319]; [49236300; 28138710]; [69161321; 32170384]; [16415593; 98996648]; [84663325; 77797307]; [67264004; 40160017]; [28697430; 651236]; [95862240; 63184023]; [7908756; 34052446]; [41306728; 36556324]; [27388865; 29115255]; [25020337; 65100269]; [47936121; 48566233]; [92190075; 79424339]; [70575303; 16206129]; [47505012; 52718056]; [5261071; 60388379]; [56105344; 44908676]; [86105837; 14013498]; [97067366; 88658281]; [38841087; 980434]; [95419524; 37231137]; [94587539; 88236575]; [51490778; 27123065]; [92879009; 83316457]; [51406753; 88480146]; [18260754; 83831787]; [32048387; 78942633]; [781992; 77893191]; [86805962; 11481313]; [54198564; 74220005]; [50464251; 41678488]; [52938973; 67841609]; [36036354; 32824139]; [37233453; 90159851]; [41778963; 41469888]; [67153306; 29418700]; [95628798; 15067422]; [54300727; 20589177]; [99770389; 93146835]; [54893272; 59412909]; [20689976; 33377690]; [86816107; 10087322]; [7097937; 81835944]; [44761991; 15364340]; [43968164; 67029385]; [49797617; 33175839]; [61142629; 92768244]; [79325967; 56878017]; [47998558; 49501661]; [94801031; 96022137]; [74493644; 8942308]; [99119001; 31481222]; [91473679; 40271175]; [79409348; 9700836]; [7902962; 38156995]; [30487229; 45287704]; [98821229; 29563512]; [42549779; 6477808]; [30787824; 10964554]; [96205772; 26625475]; [32045829; 64062561]; [44131606; 50217705]; [97289698; 2445797]; [10119231; 75782345]; [33334334; 68411045]; [64296008; 73270047]; [64810192; 79917845]; [42959996; 37284377]; [97769298; 52352049]; [29470719; 76150618]; [64548962; 38160691]; [85261680; 16863776]; [95247967; 1656363]; [74723729; 17136806]; [92865327; 80815401]; [83519269; 35563408]; [15013320; 48550127]; [79270614; 62675089]; [41354081; 70970790]; [30911662; 15671083]; [33726429; 23916990]; [64317480; 21127200]; [23429286; 66403893]; [59709576; 20010157]; [13011057; 80612626]; [22165742; 30273604]; [52796124; 13781886]; [36672619; 6044022]; [38619153; 18199645]; [28947510; 88499795]; [14332214; 93846485]; [3356540; 34686833]; [12727106; 59835245]; [24183570; 49979982]; [18496915; 40078506]; [10933489; 70169287]; [52135580; 89206681]; [66137613; 53097157]; [80562186; 97754854]; [39981313; 89143000]; [34586348; 50751975]; [39623491; 13710872]; [77021557; 49204583]; [55217067; 71415427]; [15339123; 89440609]; [60054962; 35309635]; [1175564; 31649785]; [33864681; 11319661]; [84164520; 21105984]; [83194958; 16067683]; [88212068; 48517702]; [6323508; 8235923]; [50012502; 91988838]; [22726840; 19909204]; [15319298; 4247424]; [56748566; 65022100]; [44395633; 57988601]; [14013519; 9541936]; [48360952; 40087294]; [76420422; 39037510]; [51620479; 74972443]; [83175943; 19381354]; [23517324; 4592923]; [89570097; 79239706]; [40382785; 83081283]; [56118130; 2626976]; [13981713; 76413944]; [5775832; 38810997]; [39148305; 11283734]; [55865075; 52622976]; [18074795; 73768658]; [42172488; 57127741]; [26653053; 18625495]; [75305913; 17078150]; [81822226; 31675052]; [83986616; 23210304]; [90093300; 12600662]; [75107657; 63424495]; [54158859; 40970806]; [31852053; 53419684]; [90505029; 15927491]; [31096557; 56460472]; [44052662; 99957200]; [8811811; 68609246]; [12031278; 27052754]; [84724546; 91962491]; [83774127; 92871666]; [61973767; 55264476]; [68213827; 9648703]; [50225609; 64125414]; [23019025; 35185806]; [83984833; 56214068]; [50479764; 45181199]; [20724361; 35997021]; [83062630; 31568962]; [38500961; 53645509]; [46071763; 75312007]; [98731434; 64135558]; [14931395; 54937145]; [50070938; 74951567]; [50942946; 52014790]; [23360678; 10272560]; [23400431; 40347633]; [86110495; 5731290]; [75375820; 86484288]; [49600605; 74961267]; [64860281; 50559306]; [99427182; 65269831]; [80553138; 6252346]; [96433415; 44294780]; [26359267; 80569595]; [39502619; 66698674]; [19588645; 56212362]; [48930761; 22426991]; [47861361; 74770005]; [61046532; 32662596]; [15381981; 57953691]; [40441655; 22311306]; [33204254; 37489007]; [99993527; 16318820]; [34593382; 96682886]; [25654314; 65998423]; [68758021; 36504568]; [81899711; 19074227]; [49946070; 14522806]; [61860681; 66601911]; [18315352; 38493465]; [28872711; 50555152]; [10692148; 8185199]; [74724006; 94358448]; [31735250; 90210291]; [17104392; 72594716]; [96608891; 13676723]; [11733448; 64327613]; [12751140; 56522944]; [57100042; 20850870]; [24150252; 69296094]; [6418613; 16136373]; [39488774; 84935386]; [99428844; 79100372]; [61625301; 7023662]; [15463866; 75098669]; [40572776; 92431560]; [7940995; 87156572]; [43339340; 8375276]; [62066408; 35882345]; [32002066; 74041762]; [14081432; 44344394]; [16662920; 63000094]; [14597099; 1393467]; [34378984; 20661919]; [7383179; 16313055]; [64246218; 17813172]; [8573303; 34677443]; [76529653; 44967077]; [84906519; 18715903]; [83602948; 72368547]; [55462351; 24136583]; [98240278; 3848401]; [80718596; 52874672]; [59582341; 5317982]; [22861638; 25203489]; [72603249; 65194024]; [48796828; 22100187]; [97237612; 63917799]; [21111179; 76927839]; [13735162; 22777439]; [20436296; 97838257]; [6324683; 64557072]; [51336324; 90141204]; [6290496; 16938580]; [2233793; 40190636]; [80879792; 28858191]; [23999926; 91054908]; [52236399; 82257805]; [74864226; 1235298]; [20251516; 12713551]; [57705745; 95237294]; [43540958; 9117321]; [98841589; 42878600]; [12159940; 11341727]; [73969983; 7046303]; [81342230; 2197651]; [92248209; 59069460]; [27895306; 32334068]; [86003577; 15471796]; [8207381; 78585475]; [59519989; 74403162]; [26004105; 77745348]; [17737866; 22966527]; [78484954; 81612547]; [9002638; 34707539]; [6572616; 64143520]; [26319614; 24812563]; [8738548; 98666296]; [24349088; 10626187]; [1462791; 89915437]; [88856512; 97135104]; [18353442; 16466380]; [87199359; 68505290]; [57424431; 89234692]; [25941904; 962917]; [63680612; 62406249]; [55268243; 83648035]; [96535178; 17577170]; [42248662; 53055428]; [29505204; 25787295]; [78412031; 71558386]; [80971294; 44365901]; [41430366; 67149359]; [42436803; 60317547]; [55036272; 67093448]; [75230085; 71463137]; [79856253; 8975174]; [32563851; 75647721]; [65046802; 47559685]; [2618160; 96296032]; [38835386; 82304561]; [73922661; 52080812]; [50661891; 81310559]; [32139840; 59098313]; [76861258; 65025198]; [74960776; 41689595]; [38469565; 11329278]; [6389687; 2432588]; [32302387; 69136684]; [79744512; 13116536]; [78161234; 98822295]; [37875906; 49634610]; [1512511; 48854901]; [92158484; 14792901]; [624042; 36831753]; [28671527; 87543082]; [78849343; 62156256]; [70688507; 74312413]; [14831599; 71956316]; [34822657; 42219824]; [68672539; 31414188]; [23945972; 65115103]; [96681812; 55321653]; [25347376; 68772646]; [58042728; 18256970]; [22529040; 7156872]; [12451013; 17911939]; [38224706; 68700364]; [82905150; 92859009]; [1206027; 83131607]; [61902882; 15955725]; [6990098; 90165596]; [58412173; 77606356]; [39665884; 20631611]; [81913630; 65354546]; [64920430; 31393133]; [14364242; 45430374]; [80740719; 64403841]; [38114392; 31767109]; [7415051; 29070862]; [69878045; 60895167]; [24213594; 75365187]; [74158757; 83486580]; [34101888; 97185741]; [34404435; 20890179]; [7072375; 12915985]; [27940391; 82978601]; [80582828; 30430826]; [20763932; 41144022]; [79599839; 7723953]; [17535655; 59439491]; [64688301; 30943637]; [76454508; 97368948]; [99270133; 88567027]; [33206320; 63088003]; [37805842; 20809682]; [7484671; 77769399]; [77269025; 17951673]; [40217197; 88305260]; [78939046; 82934233]; [45497897; 10884078]; [21771728; 40271918]; [264291; 30665124]; [97234713; 84892467]; [45211483; 63338335]; [19405313; 11652419]; [413222; 42108295]; [18912891; 96265639]; [72177605; 38969617]; [40174771; 96073401]; [2540694; 55285537]; [28346654; 27072610]; [32451375; 36242947]; [9744843; 65746038]; [56856305; 2187200]; [16669175; 60046541]; [14091128; 72890392]; [15602871; 80921323]; [49281900; 5050896]; [19447426; 32564942]; [34821201; 28676208]; [33070887; 39128915]; [33527699; 80386989]; [86826680; 75026003]; [33315679; 57635974]; [58919389; 58961601]; [5585359; 34052296]; [49071745; 96837688]; [87621320; 16563754]; [18427298; 89114216]; [49423409; 32996547]; [87207500; 91427438]; [20194557; 53787390]; [29312892; 94029667]; [60159729; 38465843]; [38340179; 54522806]; [2807821; 92053760]; [38838644; 66343869]; [64622219; 46847737]; [95316716; 43049420]; [92223879; 38104756]; [55084865; 20252325]; [6100777; 22749444]; [48172891; 69407575]; [24941527; 93966232]; [66641623; 61322492]; [25036164; 25186578]; [5924442; 48320601]; [67207608; 57763872]; [68578352; 5746133]; [88138871; 55262547]; [29941677; 10542290]; [69078458; 9466283]; [69046706; 59693003]; [33233842; 23578128]; [2569986; 48927780]; [27302079; 59369221]; [86970967; 29452924]; [14202940; 83029993]; [77874292; 60888358]; [31743574; 89911393]; [85280860; 45696815]; [36656501; 32048321]; [35442670; 10657860]; [3351717; 43472021]; [47513125; 69912918]; [1803925; 51416858]; [27167351; 11267242]; [53624435; 9843008]; [44623550; 70166569]; [44868504; 85497159]; [77614162; 68148788]; [54725584; 39452907]; [60865987; 74774039]; [54650019; 15499122]; [31386620; 70543286]; [44458730; 74280127]; [30091528; 3696415]; [69314767; 1446805]; [58428681; 16708396]; [82020155; 12134562]; [68278522; 18602369]; [92834471; 44148606]; [78742388; 82931874]; [68947608; 59961957]; [36647328; 14393732]; [59800871; 22306384]; [80845479; 17381104]; [10195370; 18770374]; [99251941; 83633358]; [73038764; 84134776]; [75242508; 7776998]; [2254223; 19795160]; [41591121; 93171239]; [23069745; 97956815]; [72833060; 84992155]; [66793656; 41913210]; [91044615; 36280142]; [95638813; 96288040]; [7287694; 3389989]; [39811583; 75946004]; [9396339; 41947287]; [14852342; 28769989]; [93001436; 67077914]; [65185362; 3592320]; [64040954; 43911783]; [30895851; 96886322]; [38779664; 76447033]; [6888890; 15498746]; [19296622; 45970210]; [96341708; 98215891]; [70796039; 43876750]; [97224386; 53750278]; [25523597; 34864298]; [52844841; 5707795]; [6630073; 28100320]; [79787695; 98841026]; [95716039; 12366725]; [90217467; 98332568]; [1245828; 64809631]; [15636695; 74460466]; [72958321; 28189643]; [39828792; 53902329]; [89801990; 64002243]; [58158004; 59321786]; [93529632; 67341125]; [87140843; 31215408]; [50698199; 48716920]; [78464097; 98010612]; [13213284; 94165033]; [70742659; 73243224]; [79919648; 61570356]; [38360444; 9041213]; [67771840; 33507213]; [46182773; 35256159]; [9264352; 13844945]; [82754572; 93549197]; [25634558; 96099479]; [2098244; 53170497]; [31417889; 80287563]; [26612700; 26867201]; [29025841; 47222511]; [84629571; 87463208]; [88812721; 53885506]; [79889953; 59649966]; [68774272; 66024946]; [46004782; 23400019]; [65369916; 92240209]; [76641034; 21064154]; [59798573; 27516730]; [44020848; 34757832]; [8163665; 32042376]; [48983759; 18465903]; [8480759; 92097126]; [4557819; 32707076]; [32610643; 73436222]; [80798621; 9446180]; [16497138; 34828997]; [1341652; 76074331]; [85044313; 72990657]; [37967386; 64670922]; [63681331; 60270260]; [53332080; 71669438]; [73106166; 85282269]; [1230759; 90706813]; [25503061; 88425718]; [70085018; 53808053]; [37080777; 23688980]; [57926927; 25024864]; [81629165; 80837307]; [5072029; 75657234]; [72713333; 75191160]; [6602865; 82079504]; [89658596; 23876346]; [75960061; 89447604]; [31775975; 44542330]; [82321981; 76148124]; [18655121; 90724595]; [435886; 96210938]; [58771677; 76504559]; [94790642; 78167250]; [10644814; 20427302]; [92302879; 37276835]; [91384829; 34572051]; [8686794; 7092438]; [83095149; 44899592]; [46373789; 59047616]; [70031690; 79371369]; [60220220; 12830321]; [27903649; 82609482]; [13778210; 98764011]; [4818923; 24859383]; [49631350; 66623677]; [20666013; 59129516]; [10923526; 23049962]; [46671054; 28517817]; [68306745; 91852498]; [28867142; 64175376]; [69539816; 17963426]; [32405375; 47780536]; [4188232; 4331851]; [89259553; 83564068]; [68949828; 79256236]; [74590878; 52772134]; [41801354; 43055660]; [94129279; 37422464]; [12470735; 23389555]; [6405309; 56978691]; [68045774; 99231658]; [97406863; 9431847]; [49400369; 3335860]; [40580908; 54419414]; [69891309; 50057524]; [57317012; 17447917]; [28649075; 21455970]; [18952043; 43989049]; [54241784; 39325928]; [93181789; 78661616]; [83676138; 79398194]; [13678447; 84241081]; [79358801; 77190089]; [5349914; 76670578]; [11813400; 70198970]; [63718878; 36755051]; [45252566; 72736044]; [40070322; 56560338]; [38658839; 28325296]; [4708867; 9721565]; [12154917; 94289529]; [98048170; 28877417]; [96257760; 68724803]; [80221639; 92079623]; [19868873; 84086855]; [84251467; 29792210]; [62481434; 55290190]; [82614011; 75872569]; [82894169; 40245957]; [52905222; 5155754]; [73077115; 9451227]; [5264146; 3736961]; [23644465; 40330499]; [56634749; 1240900]; [64023975; 66210515]; [95131600; 80243934]; [94300178; 61762008]; [24596548; 28689834]; [50299669; 46204060]; [8103798; 89104978]; [92538853; 20361668]; [46815173; 11622107]; [99566856; 2156628]; [56546676; 92056011]; [82526594; 70166952]; [45888710; 27180948]; [61727700; 76460710]; [92260355; 3551478]; [28333115; 27424983]; [9279723; 11138086]; [60513083; 67183891]; [37629854; 74979287]; [84817412; 47774677]; [4608053; 17052173]; [3514795; 21748431]; [7502940; 2342004]; [75603477; 25293585]; [25543359; 40642067]; [9608961; 48187336]; [96177395; 84691903]; [15386897; 26768396]; [64786066; 91077032]; [75117883; 88814010]; [89314872; 8279625]; [22042405; 16826804]; [8091672; 21266500]; [12052537; 79975391]; [7429903; 69365088]; [78919428; 86532401]; [70003586; 78878070]; [26247532; 37549814]; [69807700; 48079551]; [87844444; 9803395]; [8690032; 63756451]; [86446892; 51746907]; [20966464; 52387805]; [79479993; 72921291]; [40459144; 26353386]; [58207150; 77188022]; [80661633; 21108442]; [83209168; 95432712]; [71862921; 71511420]; [79176419; 51653]; [25729745; 61475684]; [21777884; 34158553]; [85496920; 257900]; [71754290; 32627533]; [45758992; 10058446]; [71583968; 95805587]; [64473775; 54913938]; [6899680; 35682832]; [58478867; 18597448]; [10828543; 72455456]; [25686168; 56910629]; [76518788; 41037651]; [83385534; 36299322]; [57928619; 14326834]; [8210153; 40413654]; [49942519; 23738241]; [68532011; 19408246]; [18203128; 23464919]; [93701319; 52069155]; [2960080; 10823342]; [65849362; 19523324]; [74935130; 55403827]; [85596055; 46097774]; [91035221; 19980990]; [82993648; 60665530]; [54971291; 96066078]; [51581779; 88472977]; [42438979; 50874543]; [25061710; 35991869]; [38017486; 44363273]; [33583493; 63943142]; [60628800; 97101221]; [10953066; 20759931]; [10096292; 42230394]; [77927383; 8802620]; [23199798; 50110118]; [86113684; 85354736]; [70778829; 82455687]; [31418581; 6321085]; [23825670; 96342360]; [18630554; 8272078]; [4396737; 3799088]; [70821153; 88683414]; [4873676; 69574330]; [67916697; 39836828]; [84321766; 22964647]; [87242430; 45184474]; [98069986; 97140414]; [68253053; 17155541]; [31903511; 94846075]; [95214169; 10036329]; [70571865; 33836060]; [67764807; 75174814]; [6533927; 91079784]; [1505083; 83758013]; [5305802; 1502739]; [49330765; 78324280]; [97669462; 51635618]; [81615754; 30363394]; [28987654; 44885254]; [2346551; 89389594]; [29549277; 79239486]; [15022751; 26159929]; [17577665; 55786663]; [78031331; 36549497]; [22287260; 64610326]; [63264441; 53167437]; [78697417; 29611514]; [44216979; 91042091]; [10489409; 74225623]; [58038585; 1900529]; [65006316; 73810860]; [59210514; 68993956]; [90466094; 46099386]; [81837650; 93600329]; [25983708; 90058284]; [99740684; 28055492]; [38859190; 73277848]; [2043253; 86157294]; [63324531; 85326615]; [65127312; 47346082]; [78115831; 97356932]; [74698884; 62609535]; [54105353; 31700968]; [52945544; 64354729]; [24425179; 88534887]; [51596035; 69130782]; [50713347; 18026137]; [60855326; 90804184]; [32646825; 17100803]; [27624648; 89408011]; [15842508; 79404061]; [24863698; 87289451]; [23080388; 30962575]; [70464956; 67723225]; [39566897; 74511970]; [31899978; 80898249]; [44257954; 73544636]; [53453847; 33933600]; [78074001; 33581826]; [13237158; 95377177]; [42141813; 96907959]; [53958864; 84088025]; [12473960; 62049318]; [73155864; 85863598]; [15620632; 24210677]; [25171674; 86384186]; [1293164; 3066187]; [17999804; 1478680]; [4652329; 67328732]; [32100601; 48952923]; [67455092; 17574665]; [61234847; 95177326]; [37611292; 34156818]; [78777060; 9224629]; [73477971; 8491700]; [80507122; 77823916]; [9977378; 50987173]; [78308882; 77036890]; [3905129; 54974891]; [20379156; 78300377]; [25172864; 10246721]; [63294494; 56964486]; [22023386; 27227604]; [20138969; 70454083]; [98883575; 73109456]; [40799365; 11736462]; [11855403; 19485672]; [59482222; 92761600]; [77147568; 23518973]; [56411133; 96246732]; [74249358; 23334840]; [95716138; 11025331]; [87090184; 94294628]; [47241046; 34370868]; [43214912; 9925004]; [9468151; 50809591]; [97672585; 80112833]; [21474833; 94271780]; [95216203; 85395968]; [53221441; 76496123]; [98803790; 71550134]; [87409846; 39030532]; [25296541; 83729789]; [24173124; 23873881]; [97374662; 64686910]; [49636642; 41887043]; [59849109; 1091829]; [42828065; 27289692]; [61827662; 57975464]; [90029135; 37907505]; [51612038; 28348883]; [74447338; 9112582]; [19752737; 48447884]; [49347140; 67083857]; [63025568; 36171024]; [71885925; 44129863]; [9203760; 97480778]; [8096811; 46289156]; [69312616; 45747206]; [3595756; 40500717]; [98656494; 56190647]; [48886018; 19504191]; [9118786; 85170179]; [50982748; 78759016]; [66663169; 98818577]; [53246548; 63468381]; [16882928; 9425615]; [15734286; 69210559]; [87826757; 11642317]; [74838840; 59945304]; [71097197; 41025870]; [89310428; 29699747]; [93766931; 45412456]; [2280644; 19092689]; [95756706; 23935420]; [72457943; 750592]; [92842863; 72480495]; [87794115; 56544382]; [10930591; 44792195]; [56209007; 24483532]; [35408127; 87454079]; [26750481; 29944680]; [43719921; 35451357]; [13361050; 79571859]; [70573576; 52968192]; [98525193; 56967880]; [87095492; 97279877]; [60954992; 72431585]; [36008877; 82013188]; [78325352; 89556737]; [90371887; 98065367]; [55291619; 31909040]; [60209696; 51850681]; [99391389; 9796785]; [12769362; 14482779]; [68581019; 1414870]; [43750929; 25222534]; [11135451; 75798266]; [83939830; 72327179]; [3778033; 33325308]; [60692170; 10728021]; [43260993; 4406297]; [33367474; 50318470]; [42339817; 42021254]; [38991621; 18126575]; [14593805; 64848898]; [2846530; 60268911]; [70172647; 9902905]; [24282947; 17273308]; [14934972; 35445128]; [92060748; 18825342]; [52313934; 57867033]; [54773359; 38404783]; [19061315; 31366826]; [20970551; 90953478]; [72003614; 49330674]; [99033083; 86706888]; [32002861; 78493268]; [9785973; 83927500]; [37256333; 88273058]; [15416507; 62041418]; [95598292; 44969005]; [34659427; 4408318]; [95107764; 78720931]; [35736503; 65382525]; [38747725; 41513432]; [4806071; 50501779]; [82677949; 7262009]; [94377789; 18993215]; [97468774; 52033115]; [42598760; 90872957]; [92460364; 55037186]; [521036; 39600867]; [72537631; 14830097]; [34016119; 60995853]; [60677053; 22733173]; [81599868; 5785602]; [2934670; 56615091]; [48532074; 40091823]; [20335310; 4367479]; [71546698; 86338503]; [39093759; 25262746]; [72051223; 84417218]; [1834236; 77483314]; [61175995; 28316216]; [41523293; 93475029]; [94304736; 55813418]; [82657340; 98651285]; [90269572; 66001678]; [136658; 11556425]; [27117709; 29308088]; [73372069; 94669049]; [7320928; 54516310]; [35002999; 8650670]; [85575000; 79588011]; [30299628; 5693748]; [97402633; 36172704]; [11450018; 55463615]; [19415699; 59259237]; [26873494; 72327904]; [98237761; 11964797]; [84557380; 69368668]; [54511246; 29263737]; [29182648; 99075220]; [17675419; 63667539]; [20498935; 83364715]; [25718499; 47242941]; [73631977; 75657700]; [48093837; 48293475]; [54306513; 5189775]; [15830069; 53156912]; [46046836; 38967574]; [53201382; 78296268]; [19530042; 70686596]; [20420775; 58219074]; [30814766; 52523536]; [69824384; 9447228]; [88293706; 75399102]; [41499040; 46081303]; [30133853; 95708998]; [22049737; 69975342]; [96000081; 1800981]; [88957970; 16475788]; [43426571; 11220325]; [69539757; 2543836]; [12439412; 69933840]; [12049799; 11068289]; [99206294; 26679472]; [18432324; 76194350]; [4971770; 12214545]; [372507; 8929419]; [52578283; 43928444]; [642336; 59409792]; [74346102; 85967429]; [26586346; 99076809]; [6807510; 875665]; [15826568; 91863918]; [64853826; 99715602]; [57482001; 60835702]; [74885114; 36530169]; [1532841; 22331196]; [6170888; 75256824]; [61571229; 2237645]; [74060735; 57277384]; [2281365; 59563984]; [44629633; 4477779]; [36726389; 70174154]; [13038715; 28922954]; [89700889; 65104373]; [49043155; 86992494]; [50425992; 32118222]; [71368253; 78804213]; [38042035; 36300673]; [89149387; 5081076]; [584966; 45540488]; [75486133; 6839536]; [68474882; 19432627]; [20977505; 21695816]; [87836245; 30098896]; [22297374; 29522985]; [74314629; 93162806]; [90932902; 24485517]; [71749125; 87183998]; [45886124; 80762154]; [86836222; 20278214]; [84954184; 71909093]; [95861851; 60451154]; [59737114; 43223924]; [1918954; 97360179]; [24989682; 61717922]; [52447551; 9432781]; [89382766; 68024371]; [95269656; 14126226]; [57124389; 57423134]; [8427265; 71493636]; [86045508; 91155958]; [14240890; 4761333]; [47401010; 46312539]; [56252184; 23032468]; [59779144; 44366439]; [47696872; 20852833]; [3849960; 47122824]; [64123388; 59564269]; [43797302; 55619548]; [57391424; 2938143]; [90249085; 18153659]; [7401252; 4535777]; [62621191; 82660568]; [14902400; 12971291]; [81330795; 76919748]; [29549832; 35754344]; [42100254; 73536409]; [34670799; 50713374]; [46635237; 23826441]; [24162006; 8509285]; [32418311; 71585011]; [16110021; 52051094]; [5168308; 98262485]; [17587632; 97429760]; [37977645; 89587902]; [59297214; 22474671]; [26031944; 52032083]; [15232375; 54848832]; [57599765; 86410440]; [16320594; 30284176]; [32314819; 75095232]; [27849707; 48304661]; [96151252; 73636508]; [11981406; 36250849]; [950876; 50533042]; [68816321; 76604876]; [5155033; 9870209]; [1711856; 59717041]; [28056622; 33751963]; [42182041; 92471513]; [42705104; 18222517]; [8771898; 66020806]; [12170373; 75979964]; [1851216; 73698128]; [98772950; 4477887]; [10889442; 88377524]; [65146137; 49988280]; [31736310; 10644235]; [50812384; 54583160]; [60193718; 47800468]; [58388741; 54805576]; [7288963; 67187991]; [30665994; 74667944]; [47655045; 2887469]; [74012350; 72037813]; [22730617; 16435278]; [9385872; 76731362]; [34298038; 16642409]; [13566093; 70657370]; [74590982; 9348003]; [14076474; 21163684]; [47183106; 38627579]; [70716035; 92650454]; [15322720; 35346280]; [25814158; 43530331]; [3370385; 27159157]; [19645669; 9988236]; [84201283; 3594733]; [47379469; 7917211]; [59284822; 967526]; [18135075; 74828113]; [7838366; 71313732]; [29933792; 34639000]; [69480296; 32863350]; [13013190; 88563292]; [58848903; 36179262]; [66932879; 35300667]; [48118519; 99226948]; [42911895; 99134897]; [27541169; 64115997]; [30572672; 44828127]; [53270940; 68849229]; [55823370; 20056672]; [78021076; 43839265]; [44093977; 12070717]; [66740911; 40367112]; [11447932; 26679442]; [37735492; 51989818]; [81307564; 99399551]; [90460506; 47901380]; [92694754; 26004287]; [19159605; 33917454]; [98323927; 61118108]; [93360522; 905518]; [35420276; 99674887]; [70748421; 16109251]; [78746404; 91561977]; [98795268; 52995138]; [18397075; 10209589]; [53414361; 80237589]; [72411606; 72154642]; [93400770; 1137259]; [42610358; 62791625]; [5372942; 33419804]; [81234957; 21103955]; [52875697; 7485624]; [6957879; 66666437]; [16955998; 83007076]; [48440500; 69369405]; [53709944; 87689999]; [31790651; 60346242]; [90859166; 60323687]; [7257318; 4906725]; [89427261; 97307482]; [66875756; 12617751]; [35346684; 68832783]; [40729677; 8818131]; [61966793; 17109943]; [62778400; 58266263]; [1014047; 31336548]; [25074595; 68493886]; [48548873; 85629698]; [55474311; 54633701]; [65490161; 61626253]; [21295530; 40316105]; [59630241; 28703314]; [45168977; 4798297]; [84368953; 2731586]; [95657580; 44294503]; [11121471; 84628809]; [60008688; 3740254]; [5426949; 42325100]; [73996905; 83770028]; [60032773; 47316944]; [17722408; 22705388]; [80465533; 79058295]; [74510099; 30100964]; [96407156; 34539085]; [76400927; 23322935]; [53515789; 7691674]; [84507646; 50946218]; [24759396; 22263396]; [80648187; 73593753]; [21370980; 27354868]; [47600560; 31199586]; [59321328; 5768821]; [63916841; 41918463]; [5244430; 65799534]; [70882538; 45229860]; [80279615; 45673058]; [90319727; 35574852]; [80976985; 63764613]; [55462120; 99404950]; [17246373; 43918174]; [51016701; 72341399]; [54225633; 27271099]; [99982023; 17571753]; [56358638; 1796983]; [48916510; 81732560]; [10127279; 2091935]; [38353077; 4166053]; [472511; 4386046]; [28255222; 7684865]; [25644926; 24455193]; [45178939; 83865489]; [37738508; 24979627]; [10576619; 94993513]; [66476429; 4818361]; [33568825; 194464]; [76788372; 72337191]; [42062376; 58136451]; [75895178; 92325938]; [79498787; 98949969]; [6556769; 95789021]; [93910922; 57312266]; [22178735; 78376679]; [97395383; 20273650]; [5105224; 28986328]; [53642535; 89288582]; [32120203; 57048067]; [37338749; 14427409]; [78945801; 51871116]; [61316033; 50123823]; [25835136; 59466576]; [19131738; 25472708]; [68731955; 71807409]; [27470071; 94736974]; [51380683; 99741120]; [80135947; 57593548]; [34398396; 81417745]; [6197849; 89872443]; [26934306; 65509992]; [62253064; 40163907]; [53476347; 94683715]; [12212734; 27905994]; [42301774; 22431835]; [76670958; 3817865]; [30232939; 22201546]; [58567564; 90595751]; [94370781; 54803092]; [43276665; 22931372]; [46175818; 48000992]; [1978256; 66449437]; [81200460; 93426550]; [90349085; 43997577]; [76279269; 10957919]; [60454056; 11205965]; [12836481; 85609560]; [98058593; 22027667]; [33895943; 75821916]; [12773256; 85767665]; [993168; 63542768]; [61632735; 69437472]; [89307383; 5489004]; [52452662; 2416544]; [95917835; 15825542]; [41903688; 17428670]; [3360166; 8887554]; [67587961; 81258509]; [79738737; 76502180]; [77864476; 76566844]; [9522939; 13831796]; [59863572; 28843804]; [77574364; 89516395]; [64772760; 37804959]; [73045600; 80088848]; [21608301; 30717412]; [98126506; 62525868]; [86177027; 34063194]; [54647008; 80876361]; [67688154; 61307792]; [68272703; 36810336]; [51394510; 68244635]; [31217107; 62487464]; [53980130; 4606495]; [11191203; 38013784]; [99853466; 75604791]; [36893669; 81403690]; [59784169; 52192039]; [79614455; 1045293]; [32863352; 21155405]; [18250289; 32974013]; [67844576; 4035763]; [18127959; 327006]; [69402590; 32154315]; [57471197; 5202994]; [56319377; 11576084]; [36907452; 38223858]; [85055912; 2969884]; [87374941; 68030378]; [32726454; 64576756]; [21539700; 19415817]; [49474063; 80248923]; [12002008; 7459162]; [959511; 42957509]; [19701010; 5186526]; [68595906; 63607903]; [8026070; 30431981]; [97275318; 42204800]; [54971531; 80364010]; [67192013; 73808612]; [3620448; 53046235]; [39252649; 37508644]; [52997440; 39812338]; [15555592; 83277507]; [54251330; 92397557]; [75582394; 68354022]; [33591032; 89260089]; [45195226; 41959518]; [11756078; 1382426]; [2748461; 62397638]; [65900651; 95470627]; [4675294; 45615791]; [74012978; 83865584]; [82955360; 99649720]; [4691290; 86978757]; [34237455; 49676141]; [5325943; 18729466]; [2743524; 74775011]; [50787786; 10112794]; [65226103; 14726989]; [90167079; 7809893]; [60030848; 6598201]; [37220408; 96250294]; [19415805; 39761081]; [31062012; 18948013]; [19002743; 39124713]; [40279910; 97785743]; [50207567; 57877931]; [85467676; 3711999]; [83429856; 18575021]; [74189790; 45686391]; [48823744; 1265064]; [34766666; 95439879]; [34500427; 86893879]; [85312143; 17047581]; [6341744; 22237833]; [32033311; 80944624]; [23141473; 39486944]; [58415441; 77459547]; [48805; 18776748]; [17587879; 3855395]; [24105633; 64967294]; [3484982; 89061015]; [18742081; 39308770]; [74712268; 65200155]; [52162475; 91587539]; [847213; 2251993]; [26367361; 13212709]; [18999169; 65166251]; [19771900; 34503220]; [14276742; 51098909]; [66213995; 97625295]; [34282808; 12165123]; [42160748; 67382842]; [14809819; 68728185]; [40178120; 89662363]; [69360732; 32173542]; [72115041; 4284736]; [83368714; 44591925]; [53209931; 27736960]; [91105587; 8986184]; [17621681; 81572360]; [92153475; 4111650]; [49967902; 22060764]; [27867562; 56988356]; [80356579; 24809894]; [66598724; 70188259]; [575011; 76819516]; [18450894; 99842826]; [73820375; 10082362]; [72480085; 26051671]; [40812889; 14187151]; [32415080; 48297099]; [28152226; 11219448]; [49391654; 14472287]; [94058710; 19998286]; [93313489; 85195075]; [37374209; 14732081]; [88540297; 976518]; [13246904; 57322608]; [4962956; 1961398]; [91274804; 31002182]; [11088035; 2802944]; [61513432; 58884840]; [20467656; 7165449]; [49124144; 637492]; [15791793; 28543984]; [44847337; 9829973]; [85211755; 64278118]; [97402108; 49938905]; [42554692; 83059459]; [97913033; 33533613]; [28021387; 98377560]; [78862857; 85007329]; [84401585; 10787197]; [19586903; 33801945]; [66923742; 11862710]; [62495002; 78326073]; [57592741; 81393185]; [67242022; 69978937]; [48968362; 96516088]; [28704952; 72314543]; [81177482; 34574593]; [70349669; 61872294]; [8003198; 43765654]; [98910428; 84173554]; [61622640; 90133277]; [55375904; 21187624]; [46873596; 58469378]; [83969212; 48700797]; [63232424; 43583350]; [54993675; 92171106]; [73522891; 94741273]; [20503658; 31271822]; [63923471; 25917689]; [47678774; 30264543]; [85445824; 39017213]; [57782254; 43556223]; [67657426; 45820843]; [26961475; 91132322]; [96078328; 73477521]; [54209330; 17406737]; [69675206; 79058028]; [47241374; 10286510]; [68409843; 7132266]; [88466946; 99868355]; [51859540; 6481008]; [96097406; 811776]; [7231643; 36266448]; [68536575; 55119133]; [60381083; 49914966]; [85896594; 9148152]; [9224902; 26407055]; [84003117; 60394026]; [62225978; 53007838]; [48599004; 56459271]; [19984749; 90411570]; [76046189; 88027007]; [59988983; 71053504]; [11890025; 19163902]; [85133023; 75591731]; [68276344; 53986243]; [46835; 7036864]; [3783721; 63687195]; [26696475; 45814030]; [3424653; 9543272]; [64462647; 67521537]; [38228021; 26700891]; [69895545; 9677165]; [47181100; 67417914]; [23002054; 75415704]; [45335727; 89608001]; [77741249; 49130752]; [35753844; 63557332]; [14017390; 73517332]; [64499175; 33491216]; [31553873; 175202]; [20676699; 27228099]; [50418310; 55553220]; [14524902; 77843020]; [70828660; 88976495]; [95739786; 54303968]; [79375445; 38452171]; [9231869; 67888339]; [14980492; 76789581]; [51145629; 70075323]; [53929940; 92634459]; [60946991; 66587497]; [64381858; 71820014]; [35447266; 17165083]; [43947716; 23783707]; [99873881; 23754107]; [80915017; 75953870]; [74075879; 69128396]; [28115745; 61322373]; [24075061; 44188565]; [77547802; 59368465]; [4471145; 33540516]; [35992314; 88298556]; [11721877; 36248342]; [82510960; 24297196]; [15929738; 45777230]; [17016915; 74807999]; [44880996; 98827650]; [56183819; 8597112]; [13114580; 34935502]; [92751535; 17162048]; [5639657; 95831621]; [31923581; 72300852]; [15598926; 519391]; [984023; 15990035]; [36472635; 20238370]; [64308257; 92629634]; [76805649; 41175975]; [85352058; 92156589]; [45048609; 7920054]; [84876446; 10687004]; [81731060; 88546394]; [31239445; 92301694]; [64190472; 95084658]; [73400384; 80198774]; [50234086; 58805817]; [31923063; 31324767]; [39930406; 27537598]; [44713548; 24732611]; [77691431; 22425041]; [50601103; 84449610]; [11869053; 3093884]; [23071596; 25962462]; [66911703; 92327525]; [51115059; 11401658]; [75962755; 64465388]; [57407559; 86660071]; [44252556; 6723168]; [18501868; 32365489]; [39346124; 1506582]; [90937517; 65001534]; [71343529; 28772109]; [37559583; 17791926]; [67315637; 64778651]; [43538436; 14686487]; [42236822; 90606665]; [28191775; 36168232]; [94237117; 67798524]; [81801075; 75557584]; [18150734; 39297347]; [65243233; 30507976]; [50298307; 26861965]; [37046400; 19053981]; [73175819; 16085601]; [67740973; 33693795]; [20993254; 94843190]; [48123086; 74256255]; [39494185; 81157516]; [35842794; 7887073]; [53217310; 30720460]; [47858124; 57090615]; [85935147; 55953807]; [75482344; 64243852]; [942226; 59339166]; [38929311; 62824765]; [13640768; 52268245]; [70425696; 23587283]; [5152581; 47995857]; [82985151; 56135343]; [56584521; 23432826]; [41758988; 76040919]; [70957054; 19967102]; [73130547; 71459548]; [50346216; 64995601]; [63602172; 81776078]; [72864998; 94699228]; [44726550; 15568829]; [75461366; 87516948]; [26890295; 26375635]; [6829733; 65016456]; [65381395; 96275810]; [16971512; 36695715]; [41923967; 8574395]; [65474970; 89132868]; [6933080; 68887502]; [31862726; 43700270]; [14295134; 18671362]; [94702668; 98770450]; [44823718; 17836676]; [80400437; 84433229]; [55146092; 58149255]; [92516631; 61463060]; [41077723; 81626539]; [28005779; 64972717]; [72802512; 74891399]; [48465620; 21090493]; [82537670; 56907181]; [36022012; 68839368]; [67969292; 58064845]; [61871116; 13259332]; [67763385; 92061279]; [78508761; 84402871]; [44521004; 41111000]; [46205740; 63256713]; [24800533; 34394327]; [94655224; 91071744]; [5918352; 8228389]; [86984071; 51646481]; [53155156; 98350862]; [52883504; 36147091]; [93269288; 30923404]; [79474618; 42611244]; [2619398; 40468745]; [65449230; 40293484]; [6140231; 68722894]; [18187482; 66097024]; [17291566; 45766437]; [54986465; 44464583]; [17281109; 48215168]; [38176645; 61743137]; [26654518; 50571301]; [70980717; 2896541]; [23283263; 88759467]; [67185938; 77070266]; [30370021; 27478233]; [58779008; 33628776]; [45747543; 21860673]; [9516376; 41407482]; [88281529; 17931759]; [16995548; 58704355]; [56169077; 93494486]; [70577114; 29109934]; [17632452; 82533852]; [13316344; 55737776]; [32859087; 18852148]; [40316738; 66261389]; [35343828; 66626263]; [22464469; 35597182]; [45478058; 32904601]; [53841816; 28835280]; [24256675; 14668191]; [66997396; 61813524]; [37450735; 47527251]; [50047318; 93869511]; [11382602; 59032625]; [93781391; 13209850]; [82780052; 88224605]; [42471058; 13617338]; [50474471; 5042359]; [66328874; 7867054]; [32799893; 98191762]; [93302435; 5068907]; [25291241; 68042729]; [53927935; 74104405]; [70245137; 14100714]; [51360896; 20848178]; [92046375; 24827204]; [89395829; 11499332]; [16603654; 58341121]; [58160283; 89793960]; [4542328; 26378213]; [71320285; 57851534]; [53494869; 43049088]; [33124539; 71292622]; [63235080; 34665967]; [40436662; 46080014]; [55778825; 23617910]; [37455989; 13204904]; [76690077; 74173976]; [92594939; 44673032]; [89901589; 19564511]; [86568929; 69272536]; [43819762; 6499248]; [39701468; 89552332]; [68039848; 5918656]; [21214538; 58456514]; [73777472; 31820906]; [4543905; 66891057]; [65859366; 13366630]; [9213271; 94299553]; [6190454; 91130333]; [30552037; 26239389]; [31675406; 45302182]; [2300329; 93588126]; [39684181; 78923870]; [17683653; 54309973]; [49342208; 18500587]; [17388840; 35049926]; [88667030; 21941051]; [45781082; 44540403]; [72027390; 56804221]; [73544058; 2223026]; [5775448; 99138473]; [85314946; 81308585]; [95482932; 80951376]; [50771591; 34644446]; [14295774; 17231108]; [69956535; 37374741]; [35911762; 6465023]; [3088805; 76465174]; [29882447; 99144368]; [46471278; 88361766]; [96248912; 51151530]; [89297023; 26539621]; [27914071; 18041254]; [86754924; 25472022]; [97466923; 28536604]; [47513285; 22191008]; [19561034; 21002195]; [37079288; 93463469]; [3266815; 54116115]; [47782461; 22057497]; [86566388; 94709889]; [27971662; 82910900]; [77261743; 67419433]; [81951799; 37553892]; [62915188; 2096686]; [52259129; 88233172]; [23283209; 10158125]; [5210923; 96791969]; [22130117; 77225498]; [14721282; 45427]; [40523250; 29114141]; [80252452; 44071609]; [95063078; 69897158]; [58549485; 12440767]; [42288190; 20669358]; [22784263; 62517825]; [74557777; 91917361]; [45182403; 45116815]; [19269369; 63616469]; [35079246; 58729108]; [67017755; 60827494]; [36197657; 77317057]; [71954605; 59409097]; [84984900; 34831984]; [76664442; 43847895]; [70269807; 31710055]; [55807310; 15311592]; [41007312; 80020552]; [24088472; 14494788]; [41940403; 43976635]; [49318955; 83192161]; [40143384; 28193630]; [31651191; 60583114]; [59115307; 64749179]; [63501048; 3886403]; [95961718; 92770749]; [87099299; 7354353]; [80822553; 91880957]; [91221620; 59992470]; [5779247; 74209998]; [11584212; 32323565]; [21547462; 79656999]; [94766299; 9736534]; [9053371; 78871671]; [62715148; 95728762]; [63989517; 17337466]; [53841187; 36686342]; [33374711; 28460658]; [1149489; 87836536]; [64498845; 65960084]; [73266416; 30070374]; [49732174; 22708296]; [63316114; 45787022]; [38191316; 85268692]; [65459932; 91997842]; [60893309; 63055212]; [50611521; 64387688]; [45334962; 59244299]; [73934991; 8699939]; [89423286; 44879966]; [82714025; 23844105]; [24881295; 51479608]; [96317009; 91382581]; [62786979; 91035103]; [25789612; 30504970]; [98216194; 26808797]; [40541313; 63541712]; [87419227; 74945268]; [5546380; 23597891]; [63396778; 82984659]; [25227426; 43950186]; [89725739; 75352281]; [60385016; 89254717]; [76968046; 10576941]; [27192697; 78997693]; [4288173; 11305314]; [89655778; 38336582]; [46153273; 16331006]; [32595325; 30419956]; [84540334; 56012096]; [81605966; 18507647]; [39749397; 52822609]; [70185305; 77739814]; [60437116; 14073729]; [44145738; 35692436]; [53745669; 26737333]; [69101095; 38614896]; [3358140; 32448118]; [52834120; 38683850]; [47091300; 99191045]; [42956801; 87971538]; [87770895; 32143426]; [60499950; 2066225]; [84444411; 3440547]; [18734665; 47146536]; [50648840; 27395511]; [23776703; 65679683]; [19465187; 7366]; [94092425; 48860213]; [36277358; 81618025]; [99225004; 88396853]; [22866333; 62956788]; [27808295; 85903159]; [70545740; 46217680]; [1213292; 52215303]; [59513664; 32977770]; [49933063; 54570970]; [82872553; 15348124]; [95878514; 21687061]; [77301221; 87819941]; [4412569; 90250362]; [32301849; 50661323]; [94637407; 46446787]; [30309765; 58778136]; [82952883; 50539485]; [48073976; 14731077]; [39111066; 61294972]; [2098175; 87220583]; [92214576; 56003650]; [20744270; 27948842]; [20004141; 98957583]; [73789093; 9428045]; [93384058; 28694828]; [3664039; 39761758]; [14013523; 30327841]; [93020974; 46345011]; [58939837; 57935295]; [19587007; 10356008]; [27645435; 25717541]; [80120780; 90667931]; [32018259; 57683329]; [2176419; 43217913]; [32364714; 26736095]; [2330907; 34435330]; [9420291; 40187560]; [77477647; 44565573]; [85781091; 800019]; [8614098; 89580780]; [40852618; 12357805]; [8042542; 47495015]; [79732480; 97439083]; [5329897; 62556980]; [67630643; 47511528]; [81402164; 60907368]; [26473655; 59031338]; [54190695; 92763941]; [83809112; 74381704]; [80674581; 39641019]; [39223584; 36833955]; [92496592; 80267824]; [31148549; 75633098]; [80760272; 64414698]; [22846965; 99290554]; [27424559; 5814661]; [79917852; 20081493]; [8260305; 2204915]; [29313849; 58731839]; [90439557; 32519565]; [14862968; 97075409]; [95776101; 81685731]; [88146101; 92252643]; [33504281; 25757655]; [19339874; 7215229]; [76502577; 82681662]; [71309622; 31540149]; [27790361; 77709858]; [42537525; 68817854]; [70945993; 34701586]; [10348074; 57352459]; [46305046; 46643536]; [28813120; 91174113]; [35693421; 13485845]; [57449479; 82161616]; [21377728; 77915722]; [95383224; 81542033]; [99497794; 16667637]; [4788286; 10542355]; [64467637; 67497650]; [17661508; 87504104]; [88138632; 72565211]; [50793749; 2015537]; [27506068; 77817873]; [83682970; 82279658]; [43464002; 35994946]; [59754657; 56290528]; [57276439; 74864075]; [23265381; 93812596]; [16340261; 19538424]; [90765102; 29419811]; [83787399; 47524666]; [24094616; 75239135]; [3559599; 18695265]; [34858853; 59409199]; [64610365; 10596146]; [63977252; 67840664]; [71354120; 72512951]; [90326295; 2793342]; [84734667; 28975416]; [8707271; 14419500]; [41721715; 96236356]; [80815590; 49091534]; [4230015; 82745507]; [95294907; 99400920]; [24786553; 32932237]; [43637025; 51534874]; [86831412; 65336400]; [73036101; 9865376]; [5182629; 98488399]; [88867853; 84877243]; [27715636; 51692635]; [38964435; 50804960]; [48151059; 66570354]; [41468803; 99726473]; [40825181; 34709111]; [47091908; 86439801]; [40779472; 31734459]; [61223228; 47235026]; [10577192; 69838182]; [6737931; 32415451]; [80867284; 4894481]; [90370368; 33828804]; [80564810; 45606514]; [48827552; 15729101]; [15709311; 69425484]; [21073745; 22312000]; [87228476; 49488338]; [74636527; 30727147]; [54504689; 48465107]; [64049272; 61920686]; [20322303; 52231072]; [4947346; 78522252]; [78858512; 69202548]; [67767295; 34370833]; [4263730; 904725]; [46478859; 68989205]; [13868812; 38768946]; [12926173; 94036234]; [77193229; 58813738]; [41119062; 60938035]; [62110999; 16754716]; [30119257; 67483935]; [34229414; 50694050]; [1330406; 4893553]; [46436364; 77331377]; [73290201; 12481955]; [75871549; 65463100]; [41011728; 4248399]; [38859620; 31929055]; [85955818; 77405718]; [20251718; 46410932]; [10103691; 43038313]; [24283149; 45798442]; [84981160; 93545227]; [83168609; 28907564]; [33815661; 40975441]; [29925291; 7082467]; [50425021; 45850272]; [65524055; 57370621]; [10429774; 87697182]; [65990951; 767412]; [45184509; 37044007]; [16740655; 61550556]; [50909448; 81580998]; [4866070; 12351335]; [39955146; 70764819]; [49312997; 41254882]; [52816089; 61288098]; [7981701; 27338410]; [56938980; 44674775]; [390738; 15456375]; [15025868; 14712450]; [93708081; 58667054]; [81292933; 22528564]; [90426474; 23467187]; [46286768; 10311404]; [76003981; 67661355]; [3153337; 61166682]; [34948616; 4095104]; [33033619; 4917816]; [9608357; 13467382]; [89911132; 21360898]; [52914532; 82748393]; [73034239; 31326225]; [95941361; 38402762]; [56200779; 40682643]; [97527611; 7798465]; [89068724; 90445079]; [41944803; 48924230]; [29660629; 91959110]; [56181120; 73402038]; [92717375; 90109283]; [64038088; 24137523]; [19448818; 7319699]; [49841037; 11051736]; [80841729; 43899615]; [29735341; 23517185]; [28154955; 25783297]; [48231385; 72524214]; [49564948; 45129228]; [92639921; 16447577]; [84803143; 3539817]; [3510114; 30985305]; [82856031; 32195804]; [22312106; 50496171]; [85370281; 58953877]; [70869702; 47324219]; [85319278; 12479714]; [30103005; 53521817]; [53979495; 6118779]; [98965907; 54984100]; [11887040; 3257130]; [92134353; 84909689]; [37720897; 68662134]; [26050434; 50868053]; [68371396; 2450498]; [78114686; 45033217]; [67724605; 24593340]; [49571177; 8996065]; [79025631; 66994387]; [55209458; 29310449]; [84963562; 14709640]; [44893257; 58648619]; [8361014; 2526758]; [15808215; 94133745]; [37071561; 54885096]; [42519662; 98050892]; [53003438; 62860164]; [5751784; 66525072]; [96906343; 64539569]; [98522892; 25923722]; [51991322; 13000500]; [78977061; 64007620]; [57267185; 99029133]; [26932418; 60506098]; [5379987; 86401588]; [89274603; 11826093]; [18345685; 29298153]; [47938158; 92370809]; [84829947; 8045405]; [25374994; 35009457]; [83562970; 56812005]; [67807929; 96405232]; [33078275; 27068923]; [40722748; 76735796]; [11356630; 89291660]; [5780126; 39058959]; [75016041; 9422678]; [94988340; 40968246]; [83289774; 93466227]; [88903657; 69321827]; [82059373; 54554166]; [79167135; 99767895]; [2282254; 98704954]; [2348205; 72707945]; [54045814; 21571107]; [44366940; 49568202]; [71851692; 24073277]; [35544289; 50088155]; [76921494; 90715510]; [15024971; 21693108]; [9919580; 3667832]; [94670007; 21148388]; [67564947; 11829981]; [93504933; 88656005]; [26331918; 46397842]; [79007333; 51320929]; [94931828; 75570375]; [74337786; 46283420]; [5896761; 1827408]; [96101345; 36610060]; [96264030; 79237585]; [61086589; 83116509]; [12371489; 85381506]; [34453921; 76311995]; [11960258; 86939350]; [86156406; 13643712]; [88671284; 77430963]; [31506809; 17015945]; [64438700; 33109118]; [8346851; 87524734]; [3266024; 47324320]; [32876641; 64846352]; [81692675; 79367769]; [44070776; 85066957]; [20063577; 57915300]; [44042148; 73179173]; [95904548; 85564666]; [76590531; 41450470]; [21848629; 9433090]; [54667618; 25489653]; [78085521; 80799427]; [33090996; 80115356]; [2512281; 62321943]; [81723571; 20901237]; [60060022; 57627979]; [18827006; 23478656]; [95716715; 46303057]; [57018280; 31419291]; [68496129; 78699493]; [57083004; 79061182]; [57622450; 18962623]; [79943548; 56789694]; [12084415; 83485539]; [50036836; 53531180]; [1657884; 3808429]; [76843087; 41636066]; [80797826; 46215900]; [380188; 46701910]; [38591769; 37658425]; [71489910; 37328496]; [71195438; 4899782]; [19545587; 78824058]; [16719355; 5652953]; [24912078; 75749815]; [60505954; 32582718]; [8370250; 13043914]; [25907510; 83404934]; [57041724; 8842882]; [32529722; 30299083]; [8499104; 6651890]; [86670788; 83560495]; [9979882; 23308082]; [67241259; 93929088]; [52173337; 79088325]; [16813055; 61133864]; [16578859; 24719954]; [38006596; 21065867]; [53815032; 25993166]; [66502600; 64469161]; [32977744; 54143377]; [16627711; 8582248]; [7341938; 4674920]; [7768647; 20095894]; [35179413; 24461583]; [75292522; 40669258]; [92673409; 35962846]; [89710043; 87013802]; [72268092; 20361654]; [4574693; 7912090]; [19679845; 63497361]; [76569453; 60522407]; [22228563; 16091109]; [24629061; 11454347]; [8802146; 13856668]; [10813149; 26678389]; [50911060; 48314241]; [78619546; 2078733]; [44388185; 30938467]; [99122071; 1793193]; [90421255; 31562234]; [49867533; 14770742]; [68950369; 76863118]; [50831090; 32884822]; [75200905; 64750950]; [54799720; 82664189]; [56677615; 44055574]; [93742463; 37280500]; [19441361; 82133719]; [98129877; 18383635]; [3665852; 74710464]; [47473166; 76377384]; [83986061; 82721074]; [54440263; 17033975]; [20373863; 55249869]; [63295538; 79610687]; [92580617; 17041608]; [52388193; 53101445]; [52344679; 64493346]; [38756269; 11210110]; [11814857; 97119563]; [81100805; 96351235]; [45109653; 89565211]; [58086103; 19143693]; [6279293; 15999073]; [41849726; 14822516]; [71556094; 33124617]; [78901095; 74931254]; [55953242; 60379233]; [7384166; 41248626]; [76892833; 47974835]; [65104583; 70772673]; [29768633; 30873730]; [86626052; 88900097]; [23249761; 63152845]; [683078; 70759991]; [74740470; 8111121]; [32278146; 19299387]; [99148123; 95556878]; [83991083; 80699604]; [30514484; 1282703]; [97640286; 85786378]; [76435964; 47552152]; [59046545; 23786620]; [21378543; 21902538]; [18410818; 20467120]; [22149497; 20398946]; [60824963; 27413912]; [23784590; 22764659]; [4984439; 51734543]; [57269163; 98176742]; [18361625; 44484731]; [69466264; 9243402]; [80116984; 26579816]; [55686723; 88763620]; [54579768; 85354123]; [40473507; 80311739]; [7252901; 94970413]; [41281493; 59116296]; [78333228; 6010529]; [88792911; 89115329]; [39498688; 39864052]; [29559698; 8101465]; [42218899; 82467358]; [46279707; 50044639]; [4656686; 51769320]; [47033674; 9307748]; [30524835; 24811871]; [89383430; 77672726]; [21316023; 30024819]; [10918636; 2455259]; [22315600; 54413562]; [51135959; 17738214]; [44441755; 22496201]; [92580514; 74878973]; [86007711; 91708695]; [19207962; 92973692]; [39479752; 28675852]; [96751234; 81471216]; [57099091; 9947357]; [99150020; 13808127]; [56087874; 30024624]; [89968874; 91512116]; [43460616; 67017652]; [18397109; 94110449]; [41059614; 30286244]; [61345387; 20688955]; [19550355; 71739263]; [99908624; 70639107]; [98892172; 1661022]; [67465214; 27953721]; [85680618; 29685760]; [87811975; 79992863]; [25008269; 96763831]; [74968810; 52841088]; [42683555; 73628134]; [96855404; 62707885]; [39805217; 29932186]; [99092692; 84311835]; [76519839; 21258321]; [3266723; 69969675]; [95843582; 2081622]; [18425277; 77966340]; [41883628; 30400675]; [44777123; 29566576]; [77933668; 37948295]; [51040518; 41791967]; [87933217; 73101037]; [1199978; 23143519]; [64892622; 74508977]; [53802374; 59945235]; [15022435; 76508892]; [80550379; 33363978]; [93608719; 74109527]; [5649234; 81240841]; [98278101; 19553090]; [48381759; 10255588]; [68490979; 63306740]; [81644879; 42994607]; [31480318; 82328292]; [20939241; 21201636]; [44465407; 56542092]; [75468467; 53866593]; [20623636; 67010913]; [26077256; 39610230]; [97022517; 57260352]; [30751511; 57607875]; [80473319; 26496343]; [50345313; 21654759]; [55934013; 9466093]; [41438125; 30077549]; [80912219; 55554176]; [71005063; 6072277]; [1584591; 36137355]; [1367908; 49442625]; [39740271; 6552353]; [48025191; 97443644]; [92963193; 69847026]; [70701315; 9777182]; [36841285; 4206056]; [79104317; 58293437]; [93196584; 11994411]; [95356421; 22300351]; [34756189; 98223542]; [77869741; 34428857]; [99868086; 84946753]; [16602739; 38879340]; [30652061; 79809513]; [87712968; 11776381]; [38591693; 30580324]; [79957249; 9037020]; [91777988; 25538005]; [35544943; 49226996]; [24695900; 74641141]; [75452898; 79908091]; [62726079; 16470455]; [81666390; 75410027]; [75981220; 63285421]; [2669956; 80490218]; [91498165; 93126132]; [83256070; 61464326]; [66003574; 20698235]; [39499028; 8962687]; [50883019; 62851631]; [26229699; 29916249]; [31866473; 79492529]; [91724489; 14545254]; [8948157; 46196615]; [93675276; 93580823]; [75783043; 74891466]; [47438962; 38093020]; [70565445; 5315817]; [46627527; 94841004]; [55295393; 51952150]; [94953990; 79093294]; [26761472; 87498592]; [78529922; 73224930]; [86578795; 25260381]; [27842694; 42511734]; [26155986; 86984610]; [7574275; 59184432]; [76667287; 23111989]; [75256940; 49736077]; [23993232; 88222267]; [35365733; 92732126]; [62966382; 88888630]; [90347800; 21417722]; [82419390; 26864802]; [27433034; 96023380]; [19944653; 76925601]; [72232671; 50003124]; [21345983; 73652086]; [59378441; 68722949]; [55288733; 74289104]; [14369639; 26220840]; [90323135; 90044451]; [67565568; 20761163]; [83791823; 9126852]; [2922048; 88102387]; [9155202; 25348389]; [46268425; 12671133]; [24539963; 89211370]; [74119760; 46516322]; [39440617; 22961334]; [11508258; 67165403]; [17471951; 89143405]; [13220488; 31532617]; [94620402; 63561582]; [6498651; 37514005]; [86973002; 12071971]; [80064193; 63189422]; [90828279; 97006595]; [27933054; 38914797]; [9191153; 69775424]; [71790425; 89187653]; [16893255; 64928559]; [10173647; 53474168]; [70705723; 18166949]; [48299471; 51565199]; [67542560; 16224551]; [41841828; 79774031]; [81967480; 62350804]; [84300810; 64148948]; [1494808; 63207306]; [31158909; 51082575]; [26873088; 98463975]; [96258639; 10165516]; [61892723; 83003408]; [60447426; 84514884]; [72766062; 39233336]; [48263760; 81736529]; [40594030; 46971681]; [94406228; 8384212]; [97941832; 4992916]; [19458097; 37547191]; [2504002; 10768609]; [7482802; 98760186]; [81803932; 30284004]; [45049263; 584666]; [83586467; 4692880]; [18309940; 83439871]; [53727763; 80313836]; [67701507; 98503654]; [49229365; 87109167]; [28015697; 77175892]; [52064130; 31357476]; [559123; 41498548]; [21864937; 44486191]; [67179738; 84706394]; [50185400; 41481292]; [95703776; 45874504]; [59535205; 46007003]; [98439521; 1831888]; [30352736; 37245145]; [70514004; 97228321]; [43146620; 28910532]; [89111285; 7275068]; [16044500; 33387487]; [90891610; 25589186]; [57928293; 78095173]; [64807920; 16734202]; [30068751; 95397764]; [77624821; 94635674]; [56853597; 71376477]; [90885132; 71821030]; [31840118; 42766738]; [88166161; 8619780]; [64746119; 76558483]; [2228529; 57190322]; [91898112; 46624747]; [23982474; 4661087]; [90600265; 50275504]; [44112605; 35779694]; [69919008; 20003423]; [10957593; 19450127]; [73310828; 16097304]; [7462725; 54084853]; [35697737; 95918598]; [76044022; 32445079]; [79493317; 90124191]; [11553204; 64222149]; [61282180; 31404922]; [84549551; 98496819]; [36260948; 32917759]; [64130060; 6692489]; [87349566; 97166827]; [68335057; 53246147]; [27407795; 7460135]; [26671628; 2213904]; [78968928; 84505053]; [40259820; 57772695]; [80129880; 37521007]; [15676397; 44005184]; [75042339; 75427636]; [82491187; 35277538]; [62728951; 61371472]; [89105767; 15810245]; [81200983; 45357829]; [16870549; 54782798]; [72581354; 92286718]; [78632964; 22290742]; [79680480; 70889879]; [981624; 26246099]; [51994713; 24306962]; [52751999; 59085873]; [23135136; 95846253]; [58880472; 32717678]; [14122738; 62782476]; [15411021; 25772121]; [54680934; 51608002]; [53550973; 42217263]; [96054921; 42346208]; [30635353; 53938466]; [25947488; 2834264]; [3489043; 29975388]; [48436919; 39246819]; [90087183; 64846125]; [65548818; 19769997]; [5307539; 42181980]; [31498863; 23843]; [96541746; 77810004]; [77207130; 11770736]; [8289677; 2566552]; [6644158; 5443904]; [57620798; 11875127]; [2984425; 59785052]; [3276812; 78918032]; [74360640; 89994670]; [29771570; 54277681]; [1933026; 51251384]; [43562254; 68091264]; [46517589; 69479726]; [77504115; 71624208]; [25906193; 38792826]; [18269299; 29237827]; [70333013; 73155168]; [40982615; 22324900]; [28655420; 26142881]; [92232279; 68315277]; [75702196; 5875458]; [79007128; 94261794]; [63160578; 33913625]; [16331462; 5919259]; [70786473; 69715184]; [83951435; 33656838]; [61789731; 95073799]; [20012063; 98919533]; [46699859; 45737823]; [20253330; 65187626]; [31083233; 13828242]; [76999611; 77050205]; [29057070; 17467548]; [33046235; 8513120]; [64997792; 7400893]; [61578031; 59427957]; [78902689; 80160944]; [52138470; 41414746]; [36076711; 32633132]; [39227629; 39307234]; [78110586; 34802929]; [1216518; 54213864]; [50098323; 67053660]; [8633106; 54629132]; [76622345; 1523428]; [55572905; 1951497]; [68393209; 34835063]; [15071592; 75530363]; [99221577; 57167593]; [20960474; 26443021]; [25174877; 70767527]; [57656977; 1547726]; [64259687; 37890530]; [34051476; 4377797]; [39844132; 93589111]; [25062521; 47075079]; [79755433; 35642805]; [17417837; 32857978]; [17275898; 92820292]; [14584462; 14317831]; [61796978; 87533778]; [55766841; 16837825]; [88023313; 87443358]; [25461587; 47993932]; [40374827; 48152239]; [84768047; 16936942]; [42891236; 20430525]; [33545062; 92719424]; [80235063; 64117057]; [59643997; 34855159]; [55192730; 45065187]; [79185033; 50812584]; [83144027; 21431704]; [98420845; 79217354]; [49680725; 43311409]; [28931562; 68001486]; [59923803; 67369893]; [95506176; 77204331]; [18762545; 33363596]; [10955436; 39378125]; [96783258; 22917890]; [17391805; 61548806]; [74569807; 50679086]; [95856823; 99321368]; [22124144; 13341983]; [81891078; 91608715]; [9061926; 84833303]; [77582655; 88785739]; [56007138; 77692772]; [33686238; 98140309]; [86974168; 85920179]; [97506538; 42105185]; [12713430; 4731323]; [74384387; 49814516]; [62809592; 44549134]; [71482796; 44900562]; [84656686; 84583552]; [52947008; 93218837]; [31616891; 73495553]; [61081781; 1106349]; [83678230; 48763897]; [56979749; 72047141]; [97202804; 47251525]; [50374213; 76300858]; [11343964; 62348597]; [4995294; 10366377]; [67246966; 17510161]; [43686725; 13335298]; [82418673; 51474887]; [42995107; 43786935]; [80624482; 68083796]; [10471349; 8929557]; [29701840; 86048339]; [27974158; 90255523]; [80020963; 2120608]; [89267288; 27466093]; [22729301; 35181988]; [79569794; 17218329]; [85815703; 83344716]; [48025768; 12559609]; [95868996; 71708784]; [74688558; 91553391]; [48816860; 91199230]; [33736587; 55824815]; [94100128; 35152495]; [56196417; 24623683]; [64664893; 84828257]; [76443929; 28944683]; [2930893; 78249586]; [85010672; 26857812]; [75259028; 11437497]; [691531; 36488587]; [18027861; 27068279]; [52142952; 92896550]; [92253965; 97730121]; [30203042; 46582858]; [13209859; 91141702]; [57625956; 48315590]; [21310877; 43685944]; [19743216; 70202093]; [38447938; 72193436]; [26931647; 83297450]; [16370904; 19590464]; [14587329; 38664624]; [78990914; 34556993]; [93812038; 67646566]; [80959838; 77538577]; [13482160; 2999430]; [84139994; 55947373]; [99967500; 4969541]; [10954069; 91992616]; [76953216; 70171522]; [33755364; 17286376]; [61587920; 6597591]; [26412053; 72802304]; [87304523; 36333918]; [15874537; 21444358]; [55180149; 59047941]; [69148500; 66981341]; [5436967; 56740467]; [99380578; 77512715]; [78707161; 63690541]; [80590730; 41249318]; [85860574; 67958051]; [17578345; 75221887]; [10892957; 22708703]; [29853070; 9357453]; [70064575; 93173200]; [23442657; 83716237]; [86993079; 43597590]; [20907259; 29364351]; [48963855; 84760643]; [13472789; 72844431]; [93539372; 78718948]; [45361006; 10487932]; [20769053; 4916778]; [78721632; 16797476]; [4749411; 65373146]; [24860291; 39925400]; [5790166; 20562182]; [84276653; 71698498]; [43682248; 50514686]; [92607556; 17202552]; [47175023; 41390621]; [31539929; 70561621]; [64772824; 89289565]; [1701379; 75237966]; [85814325; 78092095]; [93630443; 20333529]; [15347512; 64204564]; [34893534; 71457526]; [31727000; 94486573]; [56248322; 47456074]; [70073685; 90563125]; [48067533; 44601902]; [87889949; 48839747]; [48450746; 91615387]; [76458498; 18535085]; [93453668; 14796191]; [6536777; 32343651]; [16603588; 64760593]; [62741959; 66510308]; [6505990; 86855321]; [31514129; 24016853]; [95599066; 39518105]; [44438929; 95125598]; [36108572; 95364738]; [57249945; 38349491]; [48188211; 9128362]; [16248841; 50265924]; [64036438; 27394150]; [93292638; 96233403]; [75113034; 9087664]; [36088777; 198581]; [30954315; 78004179]; [79590112; 3051374]; [80078051; 87525450]; [3133956; 87661688]; [36650717; 19178536]; [89729731; 50995443]; [54315201; 49794892]; [50991823; 45020637]; [73449866; 84699300]; [41699313; 38004006]; [21388068; 56104246]; [90418449; 19974690]; [14674566; 53516293]; [48199539; 32399047]; [36651043; 99706703]; [73150708; 51844611]; [15080139; 96831333]; [50406723; 17975420]; [71613533; 46284870]; [98226962; 46766276]; [80404993; 30046158]; [37286561; 52882487]; [40334851; 5630601]; [75240529; 54374901]; [78960005; 56069879]; [85340445; 6870174]; [45618778; 34126930]; [60310749; 98997848]; [71965367; 49340863]; [80819491; 41391008]; [70307442; 75719015]; [53250326; 62000768]; [21024700; 25199862]; [1540001; 23862065]; [44413985; 12243681]; [44665415; 93529306]; [99236280; 43058152]; [855692; 6444226]; [54644113; 11218993]; [54014377; 57022153]; [93400360; 65483496]; [40199148; 16216557]; [37240275; 67740475]; [80544891; 99077393]; [76107112; 15151306]; [57955338; 39942737]; [97912682; 32338707]; [39087912; 70071348]; [52773981; 78227622]; [8557599; 74395191]; [68112176; 12423165]; [99422637; 31111516]; [52445789; 2865894]; [78301037; 92136139]; [80540952; 97287529]; [35106354; 90910291]; [8688667; 48259847]; [92722056; 1803722]; [12298635; 31867196]; [99238742; 4521611]; [22274424; 52191700]; [74251256; 10734450]; [77274527; 54016649]; [78602420; 57469203]; [26571516; 725582]; [5301918; 71200492]; [61025185; 29632467]; [29129174; 58455361]; [56287728; 65092090]; [647775; 11517575]; [11549405; 4145504]; [38635921; 71535351]; [6672338; 5705863]; [87213588; 32721909]; [89882457; 65416222]; [10255603; 32579630]; [74758070; 44318342]; [71677745; 60831266]; [36082689; 6331178]; [52757404; 29883034]; [50392334; 61602688]; [49396881; 31792893]; [49256529; 37431694]; [66958011; 38227540]; [22461938; 28682009]; [79407971; 91345053]; [38199851; 29220908]; [959219; 54081195]; [8385267; 7672202]; [80594362; 34163266]; [74330744; 61573579]; [11261039; 20585328]; [19256027; 86631491]; [5564860; 95991080]; [77332963; 45490648]; [42574884; 93403502]; [1635368; 43118373]; [48681532; 75964582]; [98178363; 72314979]; [12318599; 59623480]; [9128772; 46490271]; [35312804; 78236830]; [13980209; 10541333]; [36300819; 74400089]; [96490902; 62450142]; [88409240; 85847098]; [14444226; 33885170]; [69611064; 90611306]; [9768634; 58468863]; [16804846; 93998333]; [22543854; 55780324]; [792242; 12057727]; [71394238; 13913692]; [98883600; 7337691]; [33918127; 18782476]; [41935168; 84143497]; [22246134; 9899406]; [91971284; 24376436]; [37623802; 70805079]; [66198070; 28418955]; [95749730; 57237618]; [65813960; 95160613]; [87921256; 88793367]; [52294288; 66013724]; [5014360; 38674123]; [26097084; 16305337]; [59819418; 48003902]; [33646309; 22864579]; [16766776; 27393437]; [12322907; 7052968]; [21470117; 69755893]; [33422388; 5656563]; [82722198; 60912852]; [24481541; 57862572]; [94845080; 52477652]; [21093268; 12392063]; [6398750; 25999250]; [50763127; 54834244]; [67396857; 50310222]; [98548298; 21476580]; [23629177; 97734740]; [36884156; 78489653]; [54987367; 23452661]; [62239969; 7615715]; [20680706; 43081361]; [26363695; 54942469]; [28149273; 44746349]; [63502779; 44481906]; [40457304; 8909676]; [72191784; 21932089]; [13744964; 12856108]; [62679711; 90092907]; [88850593; 2323640]; [78854306; 6934555]; [96910769; 26166615]; [84762436; 14555675]; [51125721; 99711665]; [37070544; 45716129]; [39938669; 91231374]; [73563436; 43316229]; [55224819; 7076719]; [54889354; 8978751]; [11047062; 7375081]; [32563940; 55564927]; [74577665; 43246916]; [11966692; 41133028]; [48570469; 99483757]; [57840860; 19792384]; [60456127; 97779482]; [63635798; 87850680]; [44766118; 72718971]; [72539760; 96052251]; [45322668; 96745479]; [70241800; 62628384]; [1972904; 71918384]; [23772488; 96609506]; [63886892; 18458863]; [82026690; 67612213]; [23368777; 47954501]; [96546670; 38318326]; [35083350; 22403202]; [41631213; 61066592]; [58961285; 57957059]; [93492292; 68207745]; [45560546; 37637567]; [69658595; 64241974]; [67821875; 41962551]; [77739560; 58076710]; [20851973; 98666382]; [36035170; 41202429]; [31480752; 53027634]; [30547445; 6316370]; [22506937; 4602633]; [32121918; 22497048]; [37993162; 21813930]; [7178351; 31567627]; [8180310; 92468364]; [54625807; 51198396]; [11938582; 63815561]; [98381418; 85629442]; [12195815; 1447870]; [29056939; 18514579]; [96642264; 78527275]; [91060276; 38389463]; [49062589; 39708856]; [53934245; 11146437]; [11254698; 4237299]; [95127775; 97103170]; [73500348; 29172742]; [45097139; 50666347]; [81628825; 23233063]; [43219968; 27645136]; [38112730; 78644912]; [61928532; 61227677]; [85173029; 14333049]; [51842395; 67474160]; [24001133; 49758491]; [59071321; 57383561]; [28128679; 53658203]; [842733; 66187200]; [40455644; 62699298]; [71765399; 70379859]; [86412325; 76280193]; [84022990; 67263044]; [62694052; 56234883]; [80195884; 11504281]; [30968846; 21648294]; [63166084; 62414696]; [70775415; 92645121]; [47928523; 19510962]; [1595530; 8737205]; [66579231; 97342076]; [90377195; 41374020]; [67421459; 88587032]; [4724854; 98312154]; [27044851; 2979998]; [85129563; 26019005]; [29225140; 73292160]; [56188847; 84206402]; [35875829; 83888590]; [59301872; 84083639]; [55554268; 90783269]; [39092054; 93390904]; [28483310; 40407869]; [23840176; 81331828]; [54475704; 80277879]; [41904778; 94664435]; [36385596; 17225018]; [46345136; 78877558]; [87771850; 92460797]; [70716870; 16687184]; [7146276; 19120884]; [4534156; 59331731]; [26880573; 62137152]; [57145741; 85921997]; [36100057; 89344693]; [95656986; 27007724]; [34967540; 46732749]; [6269060; 19928297]; [10703891; 18621834]; [3116092; 22888807]; [99807115; 53711228]; [58347223; 68590917]; [90579300; 79187250]; [10079284; 48861545]; [31673526; 9949247]; [36786154; 41586883]; [82238664; 54582966]; [43249947; 24839058]; [91308906; 47415895]; [31818773; 86794627]; [27525503; 33800634]; [71266423; 64407095]; [11621775; 91954613]; [60057917; 9467318]; [75153356; 18847418]; [56341449; 40109857]; [99003629; 66696811]; [21030999; 63672169]; [16004580; 45978636]; [584065; 63168988]; [25194093; 69324597]; [94316817; 51705014]; [37300439; 30070055]; [5283291; 41626092]; [51547287; 24962437]; [45602866; 90825134]; [51184273; 58153958]; [13013201; 95758108]; [47972063; 34157066]; [16488025; 54148002]; [44408166; 73411282]; [27328872; 82696467]; [2741211; 77672056]; [17928977; 59345224]; [47016843; 81086303]; [11258136; 51286939]; [57125898; 59107164]; [311192; 96495779]; [6710749; 37623059]; [98478509; 45476190]; [69855011; 38789795]; [40878055; 88198784]; [37386674; 81883260]; [83391633; 56599423]; [38484298; 74397310]; [60247816; 77773042]; [8439906; 70349795]; [60806348; 35414904]; [93339769; 8108518]; [77553264; 5249091]; [75577188; 34348714]; [13001929; 78688180]; [82309062; 34772632]; [88471572; 66525514]; [71318487; 97863600]; [80499929; 17566330]; [79691172; 46061155]; [60761646; 65566639]; [58116913; 99614640]; [57434227; 56004422]; [37976363; 40552253]; [97623971; 40237686]; [27963089; 90003785]; [63452438; 90261722]; [43608865; 76202034]; [23637132; 22729819]; [20316679; 23652030]; [31097349; 36083553]; [50116809; 40512643]; [33608188; 66417428]; [23068290; 64813015]; [43248999; 10883632]; [32055097; 69886039]; [46333292; 48753803]; [57695331; 33368912]; [67824610; 95406729]; [91976482; 49725032]; [3519415; 98167998]; [6119109; 3848556]; [36069001; 64300802]; [44265089; 24331724]; [47231708; 77970612]; [13235757; 59618926]; [27474125; 62953806]; [66257715; 78182919]; [63233743; 6606208]; [79809714; 41128208]; [76444372; 39259370]; [93760642; 70088994]; [40719223; 92379690]; [72996911; 42219572]; [41763098; 84575663]; [90017609; 57835786]; [35582894; 46581238]; [94435577; 39302973]; [39438796; 73596655]; [36761579; 60063479]; [87075217; 81712529]; [5754484; 44961564]; [40001025; 12407938]; [15565553; 59194789]; [18853054; 55441682]; [29564185; 87028093]; [81676984; 24826948]; [99867893; 64482072]; [66084896; 26650577]; [93125995; 31644275]; [20757459; 92241397]; [18049942; 34227688]; [28930620; 55889382]; [92727991; 66716124]; [95302424; 87575228]; [62706439; 24931645]; [89445161; 47123862]; [64544624; 79135263]; [48943113; 28870274]; [47802295; 72814148]; [58921580; 20959010]; [55700089; 15723226]; [32308914; 39180376]; [12736689; 73083973]; [14177006; 16117093]; [68883834; 64411088]; [81773642; 45020525]; [40445931; 91099742]; [79521736; 80335469]; [55608302; 67470715]; [52509964; 35417935]; [27111729; 73203346]; [78251830; 45559440]; [43047811; 29174026]; [64295979; 64664147]; [51202253; 62957974]; [53231834; 98061572]; [72456977; 35080696]; [20923003; 37801299]; [3338704; 31495160]; [70714796; 34870203]; [70351495; 99857126]; [19163005; 14814953]; [3623929; 75231204]; [45517370; 8693658]; [6190206; 6692679]; [16771936; 99397270]; [20006623; 37876685]; [29544654; 27129283]; [99635387; 44253207]; [70747269; 79830082]; [73577896; 87187677]; [94233166; 24499274]; [56410139; 61560648]; [39974175; 6385950]; [97439297; 89038619]; [36160058; 92435586]; [49437231; 1216952]; [35451238; 97268263]; [95591210; 44332768]; [32735837; 59889973]; [17195028; 29040578]; [98434661; 48211715]; [95626790; 72088474]; [52959876; 33881675]; [71232709; 91298783]; [42782365; 52658841]; [61777128; 97980739]; [37845790; 84029166]; [92113673; 9388233]; [13037675; 8494458]; [20018607; 84686556]; [39735587; 77645933]; [82692357; 76829004]; [47271080; 88112254]; [25562074; 3083527]; [55173286; 2118091]; [90727976; 83565159]; [51168408; 27245301]; [2556403; 25409724]; [5046394; 96158733]; [90253820; 99325867]; [81761742; 17051833]; [80476624; 32870771]; [97256237; 3938909]; [25133456; 19274662]; [26909180; 43409416]; [66997898; 99210603]; [83336794; 23678887]; [61473504; 40498698]; [33620997; 31784100]; [65021550; 40062303]; [33837262; 3739340]; [49462442; 38524922]; [65221351; 92785881]; [64853644; 17829795]; [50993252; 85060878]; [96243264; 77067109]; [52920818; 42963809]; [60233000; 21700434]; [60587559; 32821890]; [78140265; 7501720]; [49894794; 78698097]; [45658786; 86345185]; [54555975; 34480614]; [93110198; 84481662]; [13583929; 48023274]; [22754148; 44911848]; [49762592; 58411497]; [72343737; 26353975]; [82998842; 14512335]; [44810461; 30988793]; [85853497; 42405810]; [55940058; 58055262]; [62605194; 98750332]; [91308697; 85028]; [68466060; 76906702]; [483401; 94463404]; [42697525; 17748311]; [84917459; 98504616]; [53082984; 68861638]; [99488688; 41369744]; [27337152; 50577441]; [4390624; 18298068]; [42025283; 76109986]; [52592023; 5648558]; [3876603; 73841260]; [71318815; 79750338]; [38091470; 7196051]; [2680659; 45695523]; [1973566; 98465877]; [28932706; 42959429]; [27917138; 14150059]; [97313630; 29250080]; [59117626; 8336869]; [64185841; 26497416]; [55635735; 30471428]; [32497186; 18395049]; [22950803; 66782190]; [21072072; 17442804]; [62616529; 86398566]; [80409780; 54037773]; [21603647; 57000303]; [30572734; 37748232]; [49507703; 94940838]; [73916064; 27455203]; [90225803; 48665196]; [77782069; 87573071]; [69265858; 23889609]; [94869871; 69650730]; [97241118; 67714491]; [32545347; 63594838]; [30015345; 58312227]; [24282129; 54842711]; [49587763; 37545180]; [99674694; 53300794]; [69955123; 69605892]; [53440829; 81071645]; [15219336; 75610302]; [32246942; 1143117]; [91178950; 19274809]; [35482167; 47817737]; [88313863; 85533513]; [57891460; 52678746]; [48473557; 75554872]; [28220635; 27581503]; [9895572; 45134455]; [67977878; 54820653]; [1802899; 97200967]; [93650076; 94351614]; [32825668; 95596251]; [89919967; 98634682]; [21413096; 27677552]; [22197785; 8810189]; [52815514; 16735908]; [90748164; 84569087]; [73451030; 88418494]; [57541624; 58337937]; [21481603; 38208054]; [72726251; 92030940]; [32958040; 17450651]; [23680101; 38000970]; [86685607; 81732011]; [3409929; 39342230]; [66909834; 77463990]; [22285767; 83734654]; [19533612; 53876595]; [38227908; 43879775]; [27647095; 36098343]; [88979097; 94277148]; [3895947; 17656500]; [39278935; 70408617]; [51897599; 64111752]; [26690427; 65992998]; [74352333; 44438329]; [74053719; 97417808]; [18232872; 6140234]; [65513552; 54542816]; [25478644; 84462462]; [5835362; 87657553]; [43603121; 58812481]; [76719128; 12674957]; [19260639; 31721864]; [97686251; 34062165]; [83307936; 34529005]; [75495744; 99394901]; [59600792; 52733489]; [30059846; 89822634]; [36725292; 44717416]; [35726965; 66522327]; [51025460; 84044152]; [81874888; 68886429]; [43521684; 38980406]; [40149638; 99637213]; [31734669; 50868941]; [25448394; 20056159]; [1299640; 39087935]; [57243679; 7106512]; [27706104; 95511663]; [87431558; 52503537]; [24187256; 74519508]; [71750069; 81207758]; [82343890; 83927674]; [12849867; 84258363]; [83512522; 57402674]; [92031511; 42515124]; [95197003; 31562488]; [10630561; 42184254]; [38418003; 72096293]; [59071606; 53703538]; [45112471; 88384034]; [76493898; 44481981]; [51283914; 10440121]; [77706341; 17977745]; [76467245; 45200253]; [82516742; 9421689]; [54374733; 98177284]; [83503447; 3764770]; [76122330; 60414247]; [57517320; 29226601]; [31969899; 67324345]; [99389265; 64757157]; [36148131; 77368934]; [84918845; 64310167]; [38513816; 85570713]; [90613576; 56117255]; [1416251; 50500709]; [20796498; 30126741]; [91437320; 37825201]; [85103294; 48847354]; [66229367; 52787784]; [68565872; 78959677]; [55307485; 19306951]; [7054124; 71129755]; [98066643; 81942601]; [38238418; 70683136]; [72929098; 63317064]; [3440451; 5016852]; [1613043; 80970621]; [68646348; 46376875]; [53401828; 29408998]; [20705941; 94215815]; [32687334; 87966257]; [59767156; 89664594]; [68974756; 9787895]; [55807540; 90094591]; [66370939; 67174768]; [4833050; 27046393]; [14170983; 5591]; [93051193; 37141620]; [87497384; 62691145]; [96771069; 92928440]; [62897024; 54021037]; [44580021; 41608772]; [34946581; 67258701]; [23816891; 58716388]; [92146642; 3744929]; [3173835; 9543583]; [3283547; 47512848]; [22534779; 43954418]; [5411661; 84413727]; [29444810; 63994221]; [80158424; 59229852]; [34635412; 54897176]; [30109838; 31788756]; [34624300; 33137578]; [51574155; 62785152]; [52838875; 21777908]; [35315909; 20724938]; [44408708; 96054598]; [77777897; 48904765]; [67335357; 92560420]; [32118275; 82547067]; [17206111; 37576062]; [54351321; 82256432]; [98955033; 31625945]; [93598835; 90665048]; [52479309; 14811732]; [21070212; 64730814]; [8639033; 50894791]; [95556897; 10658789]; [11628114; 37090476]; [16415231; 39172885]; [38488016; 19533288]; [14836772; 90186803]; [93751529; 73631128]; [496419; 11535341]; [22550386; 61796126]; [45437564; 98488138]; [80386064; 57495326]; [32449657; 21419447]; [13281527; 81128665]; [59547401; 79558099]; [97829883; 88163602]; [90761886; 53743959]; [25289457; 31440596]; [60646792; 79309421]; [60738270; 66125622]; [71230139; 65663107]; [90858203; 73965411]; [94439830; 15229210]; [72334277; 91314174]; [55996586; 64517337]; [22947297; 55450001]; [77129357; 21234670]; [59367363; 35840040]; [72162608; 11211473]; [29347894; 6261253]; [30916504; 38549936]; [5432717; 27001118]; [15045675; 95611146]; [42850628; 75413994]; [67765916; 32248506]; [68565490; 27394055]; [34671768; 49026988]; [17603768; 66986583]; [93231283; 33464361]; [31247836; 69608618]; [25556644; 51213169]; [12301807; 12892058]; [84215838; 10624595]; [83319006; 68973270]; [34368196; 4386740]; [80001697; 90240988]; [36924843; 24024275]; [11688981; 85653437]; [4048846; 77028740]; [80998567; 90793744]; [56508149; 93668888]; [62169331; 19954137]; [67938924; 24447069]; [86380592; 14111412]; [72837742; 57102000]; [6111483; 38392865]; [81225596; 31545422]; [49941199; 66745514]; [71119309; 83488860]; [80672311; 36970716]; [40789669; 21444279]; [19013118; 56557869]; [31968445; 37642985]; [9914666; 35382362]; [60387945; 88089485]; [54064526; 58086686]; [83129985; 37804221]; [60969325; 37720979]; [44633969; 17106618]; [66087392; 11858069]; [36959679; 42982348]; [24599866; 3507032]; [27222962; 67309066]; [69623746; 93500854]; [32645660; 82166403]; [77648040; 33932763]; [39425757; 1086403]; [73645406; 87525368]; [71117311; 60488882]; [10859555; 17056395]; [58848452; 77616746]; [7377375; 98244534]; [92831500; 23073103]; [85164262; 76210744]; [92499150; 98460675]; [89120218; 80587356]; [21213199; 75053894]; [1181818; 76913927]; [39180338; 78265235]; [9615430; 75707751]; [56920392; 83031125]; [19642887; 56283715]; [2998515; 96445104]; [13649795; 68817301]; [98742108; 87707595]; [77455809; 29674476]; [43570459; 78872229]; [8140048; 19137730]; [69000283; 15175159]; [31960769; 48880558]; [80438457; 19174939]; [25327572; 80683593]; [41902909; 44066648]; [20112701; 56114950]; [11481965; 12563721]; [42284583; 3915111]; [65423983; 4997637]; [61015204; 50688481]; [90742447; 11649374]; [78355196; 85345363]; [56983675; 40118773]; [67203636; 77700643]; [57848246; 42086343]; [99958745; 47404504]; [11214378; 1218317]; [27203873; 19876180]; [13732889; 2693835]; [13539861; 88986767]; [96814114; 28991610]; [25441714; 44496950]; [46947415; 10921539]; [51329197; 81174876]; [92882562; 83081436]; [726587; 31771904]; [34350276; 6411521]; [40792037; 9052579]; [7920799; 30342454]; [45401552; 21189521]; [98907386; 15727432]; [2836192; 87414751]; [62232510; 75878590]; [23367242; 88261217]; [58928403; 74587178]; [19276274; 63929815]; [97855649; 93801775]; [45314597; 3902920]; [91222530; 13622453]; [73678294; 34710318]; [74992678; 17629451]; [62884931; 99463511]; [67844447; 85555838]; [46806332; 85267111]; [675099; 9516572]; [26906687; 33912636]; [16555221; 55896651]; [63919989; 56921341]; [64602651; 16596043]; [14145320; 2006121]; [58342780; 37248786]; [99334488; 72025909]; [63104334; 57459240]; [85314040; 75823257]; [51199802; 29509029]; [29013689; 84719446]; [56298654; 43132125]; [40544479; 60553205]; [49873201; 11099612]; [58316156; 3423414]; [6202481; 23541093]; [75884394; 21023995]; [60342804; 8315409]; [23326156; 93108291]; [42252335; 12017617]; [90857781; 58491458]; [20133672; 8644405]; [97696645; 58625497]; [6042700; 54007439]; [57102569; 81266293]; [63022310; 16149308]; [10116916; 64462889]; [44136473; 33207377]; [12152671; 66397817]; [2225040; 84784307]; [49956526; 77122266]; [36587731; 4926001]; [9008162; 39125018]; [22070956; 58950300]; [94510615; 36933665]; [8918145; 78640211]; [73273205; 1570060]; [15470012; 92277646]; [76360556; 96194217]; [78412495; 36844354]; [21785674; 40430718]; [48476214; 10756298]; [52713230; 56692315]; [12189522; 21025790]; [14443898; 71371183]; [81655651; 34171222]; [6491746; 94478717]; [90071026; 38676955]; [57665685; 24729884]; [3596780; 68332144]; [11509599; 27888985]; [32065468; 43880739]; [79442406; 10531180]; [2564401; 55913799]; [81386394; 87779922]; [84506575; 1726082]; [93667169; 19763538]; [63389592; 15298183]; [53843639; 41052326]; [60310080; 58573213]; [36791007; 59181071]; [95457267; 74834135]; [75792672; 59477099]; [92101050; 59796204]; [63332499; 50480941]; [271368; 92038157]; [82209619; 46532480]; [11155883; 65796624]; [48755499; 69701706]; [89405658; 44859876]; [45499306; 3829077]; [99699423; 11234495]; [15030920; 49613987]; [48226257; 61570814]; [30222663; 19967402]; [42904677; 43783759]; [76828737; 68758822]; [52520933; 65056844]; [768330; 6490863]; [91697788; 408587]; [82630722; 78962110]; [97436874; 94642767]; [552002; 83350369]; [4981090; 80709005]; [59946012; 95154255]; [24284367; 68187857]; [10493030; 78782703]; [76197305; 88419397]; [90286082; 8537713]; [34484048; 35450357]; [3851309; 63362144]; [27852016; 72945626]; [79043910; 93890504]; [42912155; 50306663]; [84988252; 1805632]; [37727832; 30140662]; [7711863; 23887406]; [94236534; 53541397]; [38761996; 8915803]; [87412237; 53680689]; [46561639; 37655578]; [37862377; 64622542]; [32016666; 67649266]; [4753098; 16283346]; [12129509; 65854964]; [3771027; 35591084]; [57658338; 5236276]; [68791754; 58454945]; [72801140; 58549994]; [68113182; 93101504]; [71980474; 86270424]; [96062327; 96714836]; [8884811; 42309279]; [41380591; 64130759]; [85988135; 21990134]; [29336619; 26488788]; [36868490; 57100325]; [89371166; 47468380]; [18316919; 58294535]; [93192089; 68983371]; [66055709; 98500213]; [35932707; 48073443]; [72830157; 4683744]; [10922157; 28550055]; [67928560; 78962826]; [30033800; 36539172]; [98724517; 90054826]; [94561416; 80354909]; [45726135; 68498297]; [69527752; 37237850]; [13845914; 20984386]; [91981685; 55005456]; [75662142; 78684507]; [57130510; 98848763]; [98906333; 14726719]; [79549939; 60105038]; [21639532; 9898495]; [47253114; 77851716]; [47219889; 20702139]; [37245180; 47700500]; [58183717; 1242313]; [99514606; 35125344]; [57472517; 28372784]; [5838511; 296571]; [17822021; 29724209]; [94670245; 61982974]; [95838913; 48401170]; [45709337; 52494629]; [9438813; 48764175]; [78047929; 19939727]; [98922903; 85633287]; [14789959; 77123877]; [25667225; 97206263]; [49672798; 50000232]; [1258648; 53563533]; [79935851; 11405292]; [31302442; 17396258]; [56020694; 1651931]; [98773600; 54670896]; [75681464; 62040545]; [82873039; 97249205]; [85025944; 22109502]; [74485664; 73490342]; [39488665; 31611677]; [48119629; 41152641]; [16523095; 72222961]; [76546776; 29767758]; [84267575; 77544605]; [85516444; 2906562]; [22284024; 53886992]; [16437606; 5747666]; [63237233; 13353676]; [57872649; 20209059]; [32718635; 61936394]; [47859420; 2460220]; [3515540; 4915423]; [93232029; 53937660]; [52405264; 63286447]; [30750870; 91648186]; [44958486; 10384236]; [27276686; 81356473]; [56492026; 12746502]; [92019172; 28570221]; [60305603; 22881589]; [47382475; 43341838]; [67421573; 22928645]; [44794578; 70407968]; [13606094; 14417617]; [40556751; 70417898]; [53449223; 83855653]; [69914708; 72283954]; [49261229; 20010316]; [42809353; 61917453]; [18507214; 55980477]; [94816161; 42803523]; [98811319; 87986214]; [52976319; 67359998]; [1465906; 42847649]; [12454705; 61738770]; [48537730; 32035099]; [97569229; 7998248]; [48091977; 82635042]; [50760520; 85700170]; [17478672; 61771920]; [32505745; 59052480]; [99115215; 56489270]; [7993400; 48741073]; [4928159; 6409821]; [44075022; 64975516]; [12344693; 8231315]; [28415854; 62728054]; [33461420; 66699730]; [24433788; 59226690]; [36560540; 70000402]; [43059004; 39842960]; [52978457; 48542574]; [22508140; 39040473]; [55196819; 18704832]; [89686016; 79405392]; [48797653; 79298054]; [56865989; 2501105]; [99486905; 4717401]; [48584979; 56742488]; [71594995; 8330683]; [77874494; 35577885]; [53179792; 14988228]; [18335430; 25664290]; [83730001; 82199185]; [92964266; 7553980]; [11945228; 75094314]; [37331958; 88893048]; [48955627; 45926498]; [2996775; 84207995]; [15494014; 64221736]; [78606742; 9208305]; [72249348; 96801799]; [58073330; 17440907]; [41423587; 89083689]; [99509954; 7529884]; [23051940; 58157808]; [3384390; 44566984]; [68869284; 41303618]; [82732540; 33034811]; [54393239; 80250590]; [83827106; 55679277]; [1345495; 56917395]; [33580518; 25853436]; [81728715; 76773602]; [45185262; 73182536]; [55111583; 26828558]; [13147508; 44215616]; [22260024; 94321135]; [25857633; 5233306]; [20610989; 64701903]; [59118303; 48608666]; [37255092; 46179209]; [11803578; 19563953]; [19393764; 65064091]; [68563139; 31170055]; [65493643; 92888301]; [18503310; 92820634]; [9552122; 85608074]; [79439560; 11206614]; [4781667; 11362460]; [48278658; 44745148]; [53540621; 39618259]; [63827923; 12467731]; [96588029; 44916434]; [75628198; 96821214]; [10551565; 24418838]; [9255176; 7517019]; [63500678; 35473883]; [35525567; 88223790]; [88312937; 50078733]; [50325877; 36047206]; [56487768; 20160822]; [92603489; 16234575]; [37532731; 610338]; [51048241; 3651690]; [69675644; 38016294]; [31706738; 26066111]; [8683396; 75083277]; [85532072; 18312026]; [91133158; 36136527]; [83968702; 24807270]; [40045486; 59612252]; [15702736; 63019769]; [2676518; 22932076]; [18935005; 26305331]; [5808356; 5066788]; [25982557; 15215521]; [5592093; 36878156]; [94107831; 73310748]; [20588481; 61126916]; [62476044; 86129013]; [35370967; 3107883]; [31931222; 78044894]; [22987809; 4188663]; [83163147; 98624476]; [81535065; 70486218]; [36399764; 47802590]; [45032700; 51869644]; [32703671; 59976128]; [60030953; 44343779]; [29235921; 36715314]; [31310835; 64666242]; [38385490; 90307069]; [43882272; 47136382]; [33593328; 9713950]; [16201604; 29488834]; [62455777; 89182511]; [6308219; 75817955]; [86826344; 69715385]; [93055902; 98237428]; [77950183; 35666741]; [17395723; 8438575]; [25130477; 34833533]; [12642809; 94198279]; [47208106; 41176703]; [92527387; 46108210]; [23882775; 6954663]; [53274103; 52302213]; [1605788; 44698097]; [92365639; 16798786]; [41011198; 66490020]; [84244108; 39088250]; [22858392; 41789563]; [58133508; 85836637]; [14827745; 33611506]; [71369794; 9620868]; [46194928; 52014748]; [23990781; 18921810]; [99145667; 89084873]; [13419557; 65554343]; [35706091; 50902322]; [15634808; 80586584]; [66198358; 51826668]; [22932281; 63898578]; [75271490; 10928675]; [97317754; 82326197]; [18947564; 6725635]; [34342977; 40392893]; [46607128; 69181586]; [31754810; 32454499]; [90184158; 38885081]; [65478136; 25069299]; [67719346; 27663181]; [48944393; 72471458]; [59774388; 47545451]; [93350729; 42066097]; [13522636; 18551627]; [82388649; 2416701]; [89616627; 74981019]; [69420227; 94284450]; [76357347; 68333938]; [35059390; 77505570]; [70610596; 70795575]; [36350131; 34439272]; [33167265; 71998246]; [67091132; 76240410]; [24796449; 72578403]; [50028533; 40894286]; [12725817; 24116123]; [62097955; 39317276]; [84722240; 17473885]; [97519971; 43542231]; [403191; 22528965]; [87877388; 7018524]; [54046733; 91591578]; [27178588; 80920901]; [25090967; 21468823]; [63898575; 71000302]; [72986058; 55454431]; [35091839; 51487347]; [14232889; 37239865]; [760698; 54903189]; [3837814; 99271773]; [76864612; 12582783]; [17219290; 79669153]; [68706079; 39430105]; [82613313; 27247954]; [10304902; 1296180]; [17999081; 10783]; [44575; 11771175]; [80814955; 27911522]; [69301404; 68857579]; [68890044; 92556115]; [51189569; 98703793]; [71306317; 44834786]; [25662014; 13063858]; [99512518; 99683816]; [58934657; 15588188]; [38884517; 72813601]; [5486832; 79429269]; [33281032; 26874826]; [84349762; 43022807]; [46634950; 77278778]; [7260137; 91871509]; [30698186; 7222762]; [65217305; 74382024]; [58783878; 43275967]; [13920887; 17989323]; [9633; 96819297]; [83131145; 62296822]; [79064871; 65850005]; [54295009; 6702958]; [58532693; 51757229]; [61757508; 9360961]; [25300546; 23404998]; [84976118; 35195018]; [8176086; 96693993]; [24988223; 55252179]; [3537060; 69020179]; [21522822; 97777531]; [31395998; 14658178]; [7026413; 75788387]; [95095596; 66121252]; [11348029; 73898764]; [8277117; 17789377]; [18611224; 38477246]; [96739181; 56368506]; [14694573; 74165837]; [25640447; 49997266]; [59977109; 22004791]; [27786285; 67622152]; [79426469; 51582854]; [62372717; 17229721]; [74735720; 72755395]; [83821030; 60075352]; [94651477; 9028697]; [26724846; 5646470]; [13617596; 24476580]; [73077604; 95651920]; [46891390; 71586462]; [17471829; 27449421]; [70873478; 49076060]; [10370754; 97391879]; [98496882; 10455795]; [25649276; 18952926]; [89494757; 6559271]; [82173640; 3520790]; [5497222; 54782392]; [19031311; 64754727]; [31014202; 17679870]; [11368835; 2062697]; [45956540; 57289674]; [65007383; 80046607]; [21712479; 90954442]; [63914886; 85295811]; [19672499; 48040224]; [34826423; 46264107]; [4760311; 81996341]; [17624076; 10601003]; [63756597; 49981022]; [40837319; 18381341]; [940851; 80409088]; [14101239; 24379925]; [55293953; 65101743]; [81368321; 9727634]; [90811105; 29815565]; [44548768; 7411553]; [82041925; 1630091]; [88424251; 6759414]; [92920843; 85725914]; [56101073; 55713742]; [90057660; 77253259]; [79647197; 61003228]; [53376084; 10546304]; [87235858; 56198414]; [76195798; 46149860]; [42401935; 89115130]; [18233474; 35972232]; [59502874; 37027527]; [50696545; 64939750]; [1411347; 39182318]; [13219912; 87266279]; [56224238; 82454846]; [76045622; 4434127]; [71527218; 97678866]; [87691921; 60614710]; [79412157; 99681259]; [85772958; 56299831]; [40152516; 10075415]; [52878419; 83134499]; [27962530; 11160523]; [19266380; 97940834]; [90645242; 66036093]; [72500995; 26529149]; [21903216; 83649757]; [8858319; 22922658]; [78057087; 17549461]; [77362562; 31568833]; [23256982; 88993970]; [94711187; 48003377]; [4945590; 33216367]; [42297450; 72172774]; [29658482; 86374976]; [91575423; 58672412]; [10076522; 23202980]; [43406132; 94918346]; [44674135; 94988856]; [41819898; 4090256]; [32380221; 9052172]; [55098428; 43704973]; [37933650; 52196489]; [49824862; 47083721]; [98069391; 81084839]; [48107343; 18400250]; [4506991; 89020858]; [11125082; 40396835]; [87334383; 17297363]; [61408600; 82097233]; [9780834; 50512254]; [6299015; 79464989]; [24788585; 94907529]; [31977751; 77809349]; [14406931; 42779737]; [26855960; 49514135]; [57251997; 73213295]; [3866933; 62334216]; [55258742; 99403258]; [45426232; 44468568]; [30592408; 66947453]; [93835774; 3158300]; [82785773; 8753588]; [11685043; 58603594]; [18762424; 19286740]; [88998399; 83125001]; [54164379; 86348748]; [98063685; 78433645]; [16250083; 15188688]; [85205320; 65472172]; [91977410; 94590858]; [65071610; 4591176]; [57664987; 17579860]; [80791925; 80920348]; [5203092; 24667760]; [95450170; 2913087]; [84718109; 51833981]; [37237229; 22997880]; [54450969; 83977366]; [20014602; 32174179]; [12798844; 41223701]; [48960137; 86143843]; [10111544; 14437979]; [20985240; 87718044]; [72396497; 1547852]; [65625987; 158747]; [41667206; 56721844]; [55744861; 28785381]; [90002753; 83587066]; [57602968; 23522406]; [6711193; 11584068]; [80216829; 22161512]; [61494516; 26429392]; [2464147; 37159729]; [3864151; 27138166]; [36236052; 86570591]; [60792968; 98725258]; [78106316; 18067406]; [54246865; 11805058]; [32536673; 52750750]; [88026306; 14166540]; [49786215; 64086800]; [84775524; 10263878]; [22775139; 35614113]; [45497445; 38922009]; [72033117; 70661331]; [65958835; 23632527]; [70672126; 75374294]; [24633410; 45511610]; [63246135; 91243016]; [36106430; 94730947]; [12174593; 57122254]; [50616413; 71827915]; [1186746; 15652762]; [19443188; 41593647]; [22838968; 16360744]; [97545092; 65174926]; [14994685; 93525804]; [65785016; 29572220]; [6026957; 52806404]; [10075257; 15836362]; [43140327; 58586859]; [83110375; 38308664]; [93097985; 73154160]; [5128621; 18985364]; [80534794; 82832172]; [46536941; 61386701]; [23865822; 41310298]; [26602906; 17666978]; [26661722; 64358390]; [22523826; 12216956]; [92726535; 25682757]; [16720670; 48046248]; [59419112; 4852681]; [53932617; 40722787]; [54071738; 65705904]; [42325923; 11356291]; [56041496; 75040991]; [83245153; 86803740]; [39872525; 79330915]; [57961038; 36334832]; [85340900; 75142819]; [37518243; 31270540]; [68057634; 67698934]; [60496133; 37464209]; [96171880; 53282260]; [84280344; 77253878]; [53793305; 17394961]; [15355505; 14363671]; [26200596; 64294745]; [6727301; 23784987]; [35180728; 55829568]; [22746236; 43435583]; [35469646; 1371790]; [45388638; 70490551]; [22776387; 54380476]; [54495174; 15181024]; [73762653; 56226120]; [64872721; 63801789]; [2061136; 7710632]; [87187955; 1482917]; [86102931; 28938598]; [66898927; 4126974]; [41124145; 16718434]; [37014070; 55029891]; [91589387; 4263312]; [95931854; 54041053]; [73978934; 7741032]; [93491406; 79057035]; [2479202; 71448986]; [71326370; 49971194]; [19861057; 82056669]; [58585138; 99674467]; [83485301; 49923116]; [85780174; 86331849]; [959675; 29704113]; [35363610; 7944735]; [87303754; 81748391]; [7515242; 87530627]; [23164384; 30161517]; [74518061; 27051762]; [23939869; 72883141]; [49914013; 18629757]; [68573433; 95102391]; [91632967; 98508129]; [1221569; 12189648]; [7951287; 68459866]; [30997711; 33098675]; [53313079; 86310945]; [16257009; 12110125]; [25206671; 41819742]; [65342714; 75663536]; [14777724; 63141834]; [21625980; 72764182]; [65003228; 88140721]; [80229023; 18622728]; [66436804; 34703708]; [17073317; 40521809]; [37470377; 32310177]; [64637649; 7853826]; [95995343; 62091249]; [44969445; 96212276]; [69155954; 57023495]; [39358882; 50333657]; [98898998; 47482721]; [319468; 26654974]; [58956325; 33987287]; [26926224; 70960870]; [44680998; 98333531]; [59455739; 24632424]; [51582527; 89464062]; [92048427; 72090558]; [66299526; 8488067]; [53368447; 48965326]; [18472166; 85535618]; [83677755; 73519063]; [55646914; 14339486]; [41660552; 42857809]; [61729287; 34776627]; [74045526; 7904826]; [80289882; 21987909]; [30192300; 42904431]; [76098801; 35769474]; [44760491; 91872397]; [34935869; 86078017]; [88933354; 18343]; [1597126; 84880605]; [95981972; 48089644]; [69836991; 74731979]; [51500160; 78310507]; [5412014; 25954210]; [39160382; 23093223]; [67202592; 45704560]; [10831921; 6599051]; [15244878; 50286186]; [73881933; 29043585]; [60277753; 59545456]; [89327899; 1369643]; [28581763; 38794816]; [90851143; 88790512]; [86968816; 9539278]; [27633829; 98214651]; [3768307; 91021433]; [52876324; 83979783]; [52875978; 46871042]; [46596693; 84434935]; [18849129; 10430104]; [5536217; 73553549]; [62161144; 60883106]; [23956186; 68074527]; [98376265; 79600123]; [87793368; 93158127]; [13378060; 148704]; [10409279; 92889930]; [11817625; 50848590]; [7582520; 58924726]; [81673434; 7747292]; [58740032; 18160890]; [59913301; 73817433]; [91336233; 80281526]; [44477162; 47382022]; [31454596; 41554294]; [79619665; 82563137]; [90129850; 40806895]; [6591615; 1389585]; [70186890; 14460775]; [15660644; 25301353]; [21780853; 54186351]; [63535692; 37402474]; [98501923; 95498754]; [29107411; 18261425]; [25689286; 99429745]; [90601874; 69575273]; [61708887; 51377982]; [42687256; 69183469]; [77423020; 84571861]; [31271854; 78061883]; [42933912; 19652073]; [5299321; 87679013]; [55772956; 92613405]; [99159703; 7328700]; [48296222; 84088188]; [43074631; 50712927]; [74755788; 87201886]; [3500452; 40168737]; [38312053; 7941798]; [64662562; 20419151]; [64769259; 25826210]; [41556530; 90911568]; [50228142; 91670610]; [54353912; 9937001]; [85486604; 93698844]; [9572169; 90591244]; [69763484; 27441591]; [33592679; 36829593]; [61252085; 23198124]; [94397277; 66919490]; [83277000; 30569523]; [15268793; 73771288]; [63545642; 70175898]; [22431279; 79865859]; [7731278; 58645518]; [61393115; 71309874]; [10452900; 97258584]; [58426925; 43952313]; [52860978; 53657090]; [72716799; 48292251]; [70738534; 65881431]; [46139119; 78282865]; [37940596; 22608036]; [6694491; 92876741]; [11435048; 19269295]; [1876357; 86065643]; [64335812; 59976526]; [24377934; 71494648]; [76735236; 78585452]; [83703736; 91170636]; [38997009; 36968982]; [86875005; 3123249]; [58924663; 40551659]; [18846752; 57723467]; [88772119; 7097120]; [59157031; 74814463]; [30509424; 13977187]; [27339032; 94517420]; [51565472; 30687932]; [47156804; 94581]; [38617767; 69760954]; [40878131; 26007421]; [48992543; 81021951]; [6482077; 83502154]; [52523105; 91629932]; [64239734; 83098615]; [50781343; 22029192]; [52527280; 8748340]; [13131563; 24711230]; [48705846; 24436357]; [95459446; 61755570]; [10200270; 73065199]; [17152955; 18903274]; [44652017; 98022432]; [57983390; 58002532]; [45355; 31501980]; [17832250; 57709486]; [14881114; 85849821]; [51326147; 83382780]; [23930695; 43757021]; [92683037; 33815980]; [19791433; 90940919]; [40856921; 26989389]; [87153365; 79362118]; [83143761; 72487503]; [90944840; 91769661]; [95138172; 49095115]; [17113422; 47108763]; [20732425; 9552759]; [3400678; 46241371]; [70503776; 23713832]; [77093585; 9376543]; [99672435; 7993456]; [80811709; 69685250]; [81917997; 53543105]; [79774305; 96448721]; [10598890; 34821667]; [5289471; 12873291]; [79230115; 29082108]; [92360719; 79467875]; [98027076; 14566200]; [34117696; 85454262]; [85042504; 22152356]; [62660804; 48258232]; [82056557; 43908073]; [710201; 50920581]; [8065391; 483681]; [9103016; 84109480]; [53623012; 71509016]; [70053259; 67128811]; [99107859; 70072720]; [93378171; 52220728]; [38949100; 44345781]; [6064771; 83196366]; [36874502; 93828953]; [68121763; 11792989]; [58040517; 35620124]; [85486277; 9521127]; [401415; 13841469]; [6700352; 24552706]; [11378380; 53027525]; [72701785; 30065941]; [17529389; 15008465]; [35243370; 6641311]; [53223103; 24421454]; [40530558; 85044227]; [50323651; 69982048]; [8547433; 19937435]; [3468789; 19608263]; [2184985; 82957637]; [40395816; 17155984]; [62489169; 18397670]; [14961308; 64299348]; [41840423; 72713292]; [81242507; 31112680]; [73025674; 57819139]; [28038782; 81872801]; [5045103; 28122240]; [36029257; 45587029]; [70151851; 15789001]; [44131735; 65415865]; [59928580; 69075974]; [78958244; 32886170]; [40148557; 3467690]; [78492518; 13358497]; [93340063; 18147123]; [11474712; 6912663]; [74640961; 777]; [7003013; 88073507]; [57932589; 98370511]; [31099710; 69884873]; [43481369; 19450974]; [58891607; 67385817]; [54497973; 45400431]; [40927833; 37087417]; [44739085; 61620918]; [52926148; 75902806]; [24065899; 34760713]; [95233949; 83632268]; [80418514; 80007112]; [38953563; 40412543]; [7341513; 86393848]; [78745347; 5215751]; [71664026; 23941019]; [81226323; 15660166]; [69583545; 75304939]; [10384956; 49648663]; [1225705; 15963504]; [64515779; 7479455]; [97262766; 48960722]; [90125168; 35683542]; [54729758; 76019528]; [61547251; 85023199]; [39339183; 20574223]; [99062230; 34717115]; [21786110; 32715990]; [77376126; 51131909]; [49741653; 93457799]; [91332400; 83072422]; [809653; 44131848]; [66349280; 80657491]; [6505043; 56796570]; [57790702; 67622041]; [79884493; 7347963]; [15028140; 82117379]; [1015728; 41905572]; [55736995; 78995140]; [55202879; 36851657]; [96790933; 68741217]; [31479058; 96634682]; [29504093; 83233181]; [61658173; 52132837]; [19887253; 36125176]; [49786442; 69961822]; [21393950; 91262048]; [88547366; 50630510]; [77740899; 55854132]; [38962572; 15896261]; [92708083; 4628114]; [81684421; 36439306]; [9773091; 13276009]; [58382588; 71267559]; [95933906; 45831537]; [39130029; 75739881]; [77057500; 63284025]; [99880975; 8823883]; [24248322; 78537709]; [93688634; 11489138]; [96488258; 51201815]; [70947173; 61008702]; [52913565; 35034343]; [67173097; 55845348]; [26942601; 94665334]; [69169211; 82411731]; [89023225; 36203498]; [73649805; 67190320]; [14693521; 42175565]; [78332433; 89391122]; [24304453; 66552055]; [86639858; 21986321]; [86195365; 43246103]; [93143649; 84765956]; [93773765; 16039098]; [28441464; 5392427]; [54871721; 58506792]; [23824098; 69818368]; [82549419; 69866025]; [99542215; 21209282]; [56104382; 61704603]; [41053794; 78555143]; [81132741; 42687015]; [13941489; 25536173]; [74965878; 25035593]; [37373801; 87002695]; [85365197; 78932786]; [94646873; 14197934]; [37741697; 71435935]; [25111644; 4789917]; [70978765; 74820032]; [59990571; 27730033]; [70807750; 55683240]; [60961068; 69323923]; [66687444; 24920409]; [40047721; 58333000]; [79458989; 43715067]; [24863353; 94670127]; [97695920; 34066307]; [50289325; 85417308]; [56035274; 27363629]; [87618870; 62594220]; [67659486; 18356726]; [22641931; 71580258]; [78904852; 44536898]; [61091442; 54588793]; [36582184; 33270700]; [72523965; 25354629]; [88822891; 13092230]; [82547608; 44535282]; [3685980; 82616265]; [95794080; 61766858]; [81239958; 81791940]; [57146380; 45345459]; [32623431; 86727233]; [65777599; 30356636]; [72921731; 78559426]; [81905094; 36161066]; [12146809; 71390358]; [76843842; 65540958]; [23490097; 53119162]; [32484347; 16933450]; [22465502; 7454529]; [51504092; 97056615]; [15226494; 35599886]; [52399951; 89148212]; [27485052; 58946262]; [88978789; 82561646]; [26866246; 41542126]; [14564750; 73899051]; [76889162; 68169727]; [58143043; 84385057]; [70731298; 84653932]; [4083729; 68447941]; [25043253; 86881017]; [44298151; 15428368]; [88998458; 51599330]; [36704358; 18751405]; [62209032; 79620191]; [12043845; 11553962]; [79328198; 91982976]; [8718955; 78503842]; [42604382; 39740292]; [14563050; 94180447]; [93142478; 99737524]; [98072582; 31432543]; [87738920; 85591171]; [67342292; 43619194]; [30266092; 81697285]; [8460662; 88454029]; [28775259; 46218687]; [43701176; 59081514]; [29395455; 12222173]; [13645303; 27239222]; [78016347; 94565939]; [31635678; 96973258]; [48700507; 9269220]; [23452485; 12019061]; [90640278; 65315585]; [99889706; 37379960]; [68360999; 40536310]; [41357722; 18082391]; [30363699; 46851630]; [83716871; 75498591]; [21236503; 75365594]; [60500954; 53307714]; [40894346; 56502093]; [91130864; 59856671]; [73807094; 47967351]; [73884420; 49332939]; [78672621; 78301684]; [91311441; 15712271]; [37564195; 3320399]; [90464804; 95872697]; [35846233; 59982314]; [92366306; 47622625]; [94815774; 87464552]; [56367249; 29171025]; [74006482; 92003639]; [36720634; 20901259]; [74233405; 3596651]; [52103799; 20928284]; [7650050; 94770426]; [35950923; 58005985]; [70616095; 28318113]; [7879844; 56752610]; [33299865; 77767559]; [36292213; 20291794]; [56610884; 74231992]; [33582985; 96750967]; [76299016; 91525221]; [21212987; 98910283]; [22559253; 97794101]; [81577601; 65120684]; [43514908; 10510500]; [37402949; 13061042]; [40193927; 89847214]; [68562850; 48291619]; [41945721; 91744025]; [76622106; 49267923]; [61484999; 21766130]; [52402250; 17228042]; [63653361; 5192452]; [11838535; 55999161]; [77427679; 24212357]; [2642393; 44595513]; [42768204; 42998643]; [98541842; 4516847]; [26847115; 91439034]; [56984620; 33470761]; [85379871; 76058361]; [60573205; 26292990]; [88538282; 54923674]; [94707029; 897147]; [89750867; 41925057]; [11348274; 12051694]; [59407779; 56068359]; [16322472; 4843616]; [15522386; 9872518]; [7450893; 39992]; [6955564; 67796566]; [62012311; 94519620]; [13249081; 95337036]; [32400987; 67058586]; [63021489; 75263877]; [97660245; 96144329]; [33381942; 19475594]; [17290991; 86620627]; [85408081; 50038394]; [45593434; 85507848]; [92928159; 86869096]; [53847960; 67227702]; [96875802; 48505291]; [24740491; 30931048]; [62978731; 85333201]; [35097589; 973691]; [37221768; 51774670]; [32813708; 80193142]; [39564852; 82893582]; [61053618; 13951558]; [61316084; 58822634]; [80198592; 37553854]; [71890378; 29781233]; [38491918; 44558976]; [99185766; 7316302]; [76007921; 46731304]; [98887242; 23778053]; [96826865; 40915890]; [93978102; 8858847]; [32896987; 50586235]; [60712755; 4434830]; [5586500; 38217188]; [63971593; 22128091]; [12512580; 83716867]; [41739595; 83932707]; [13868029; 18180442]; [39921333; 49557458]; [54935240; 17473475]; [11025886; 99111741]; [49910802; 33509896]; [53690294; 41493482]; [22259111; 72488485]; [72014612; 29691180]; [79807979; 35713473]; [11265883; 40199147]; [44353662; 18071682]; [4269210; 9806478]; [81489400; 93954110]; [53160011; 8102776]; [79222304; 29163978]; [71294295; 52405715]; [60638859; 5370416]; [6978923; 15785411]; [28319103; 15582734]; [58200660; 54868314]; [67972311; 93075546]; [74364056; 96306053]; [54048018; 82737498]; [52533903; 84067315]; [50895237; 79804541]; [56021043; 67425656]; [91468043; 89372138]; [67283709; 60780848]; [39731496; 10643424]; [11436887; 670166]; [29856160; 33387795]; [34053689; 80110806]; [54473089; 59973495]; [61604251; 59266299]; [11564261; 18637596]; [36843074; 27632172]; [98403554; 46981238]; [15985183; 96342394]; [7048109; 12262853]; [15686823; 36861405]; [57549736; 60891199]; [52148188; 25877725]; [47022678; 9873040]; [83562836; 48714832]; [78495486; 23860208]; [37098886; 32313886]; [12587356; 71061584]; [11981489; 31577942]; [99516199; 95120699]; [80456896; 42911110]; [8089354; 81974550]; [21065567; 98011082]; [27706228; 64782367]; [749078; 3433501]; [53006621; 53205695]; [90212128; 89993194]; [7671154; 94403759]; [97975619; 4155878]; [71755382; 15868032]; [7026388; 28818937]; [36635391; 92737837]; [24812321; 7621983]; [51036232; 5522937]; [82497809; 24018472]; [220162; 40239850]; [91210971; 1062619]; [79354069; 96547380]; [84596251; 25827539]; [45892265; 93149267]; [42272412; 96173762]; [29193884; 7408796]; [40452819; 41526605]; [15411131; 18725841]; [76231638; 44384401]; [89518889; 11013625]; [86805880; 80262991]; [29003574; 53810036]; [14344315; 80919038]; [10968451; 624659]; [87860694; 96074746]; [47257394; 19065134]; [25663381; 89338922]; [62748456; 75916527]; [48270550; 37145690]; [90241435; 24803658]; [26679311; 63898163]; [41812090; 78143625]; [81322518; 98056871]; [98209785; 23114948]; [75413806; 36625725]; [77181848; 77369582]; [32736197; 48867770]; [60957314; 17758476]; [21652112; 87826107]; [90647291; 96266685]; [30820395; 62291781]; [5141895; 28381719]; [46515885; 13654699]; [37890490; 96937084]; [11233717; 81754683]; [88248551; 62211259]; [49980814; 92708371]; [87849873; 51407764]; [3808747; 41235107]; [85462076; 83336837]; [48833981; 22830367]; [91396321; 45843948]; [71433257; 70977069]; [20336798; 73525766]; [40234001; 28467925]; [53181483; 6189489]; [38694943; 81269395]; [92356666; 84797779]; [78765808; 88748303]; [90422210; 84194246]; [82090385; 47473473]; [48279216; 80358178]; [98151426; 97195027]; [229826; 80474878]; [24727338; 54899954]; [41125471; 90327529]; [23564555; 81666789]; [54751909; 62577464]; [8023974; 2523944]; [53170245; 78579276]; [19730546; 87351783]; [15479718; 13345483]; [85888873; 15305639]; [85301349; 41474962]; [47443120; 22334942]; [32348591; 2058484]; [36966899; 28286506]; [61552005; 45799721]; [18582522; 9775761]; [51256044; 91897702]; [85685198; 41579911]; [60944916; 42190593]; [59674234; 33924205]; [36989059; 95206710]; [35239524; 40180640]; [51348885; 776307]; [99725384; 3482959]; [32180107; 17923199]; [6151937; 98087128]; [42281028; 58206312]; [84837461; 29198833]; [49792647; 84625532]; [35914412; 96827587]; [40056916; 87229162]; [53541242; 30328581]; [41974092; 51503008]; [47962459; 46811089]; [53170402; 36308568]; [53116638; 28749967]; [34893515; 56904751]; [97430758; 92849073]; [43733607; 61199531]; [2080596; 2781200]; [75449309; 22967359]; [81947919; 33582149]; [60656957; 28077403]; [99292954; 19613232]; [9346882; 26150982]; [4540062; 28374978]; [99407306; 12850186]; [98595133; 52149791]; [72159452; 80971304]; [91543060; 47563031]; [99108005; 94489595]; [65751606; 85556411]; [70465905; 22665048]; [25584937; 22940863]; [95786375; 89435666]; [86912423; 83072665]; [76581425; 7548663]; [79537881; 85664775]; [53587184; 55479742]; [92822053; 69399663]; [80107676; 81878756]; [28446586; 87629981]; [20803947; 44159009]; [38781927; 27991678]; [50864784; 33695089]; [16262575; 96356129]; [4246235; 87095050]; [20448019; 98937031]; [22512793; 28971925]; [35514525; 36343355]; [35070979; 78013712]; [56057446; 55334699]; [94608927; 5686546]; [85279609; 63028170]; [39556131; 56394633]; [15168207; 1752067]; [46224741; 35776522]; [72289418; 33120441]; [22727716; 80452457]; [16000353; 32047236]; [78009013; 28284825]; [29373027; 14143467]; [7642074; 82411398]; [36009980; 4542534]; [40899771; 20708612]; [89407235; 5864651]; [11703018; 58450972]; [1079762; 57061289]; [64742467; 7051942]; [48171754; 64887399]; [57245509; 39795591]; [62893361; 94964778]; [86414957; 29141179]; [30251401; 51679480]; [99333549; 93189972]; [24577589; 41219804]; [88345176; 92750751]; [39205741; 55579746]; [97305624; 3076303]; [76964096; 32290236]; [16009402; 75270008]; [28508149; 61072219]; [538801; 49641218]; [95462924; 24221404]; [73406815; 64587969]; [99097817; 85901759]; [19579025; 88813160]; [57924288; 55623508]; [2282277; 27914366]; [73874149; 23279448]; [16947433; 10664824]; [44395260; 37590918]; [78441893; 23909229]; [82018671; 13860002]; [15694394; 47608524]; [57017561; 96353789]; [71946072; 31705201]; [86432120; 55138526]; [18935388; 82214287]; [88144240; 71973369]; [97817623; 72831976]; [79354150; 24396940]; [3680614; 5479232]; [68149995; 14329255]; [98222475; 13488514]; [46416076; 91802955]; [58858544; 91694856]; [78031986; 87882357]; [42237325; 45428435]; [34970062; 67268505]; [33446624; 53353172]; [1727184; 10055368]; [1914385; 95493620]; [99805177; 6083095]; [49690706; 68059246]; [33389907; 67404541]; [25636078; 40268079]; [36409602; 90567861]; [88763728; 41669367]; [11135964; 20050459]; [21082731; 4511923]; [83162705; 70720970]; [50988422; 86026380]; [90543142; 15220115]; [35652720; 67678398]; [79351150; 62035468]; [71692257; 10969864]; [24991592; 1834431]; [57839797; 89624596]; [18896128; 80161029]; [1317199; 61062502]; [17489837; 71413372]; [74018704; 63139638]; [45021596; 92490438]; [81148951; 65194748]; [41163026; 50656673]; [83367952; 36499426]; [81631113; 56174812]; [20542225; 73683848]; [77022894; 45206223]; [33705926; 94139681]; [49676897; 10624165]; [45338105; 15209520]; [74794732; 83969714]; [73012985; 94612717]; [70311192; 95917029]; [6413686; 24221279]; [82480980; 10848502]; [82652897; 63988275]; [99651827; 14455323]; [36122159; 67846626]; [29937111; 46225907]; [6984042; 84070730]; [63800399; 80266009]; [30839283; 35405531]; [70580283; 33187486]; [15120196; 9534985]; [52034533; 68663181]; [80711359; 47758479]; [71415732; 38874278]; [18264482; 53840628]; [35669950; 99904446]; [38882408; 58174677]; [39553677; 51110742]; [62062466; 56229791]; [72088759; 96446958]; [74807513; 62311292]; [59589706; 34541930]; [12163652; 56739058]; [1520305; 59578499]; [43183495; 61377403]; [66162637; 73271359]; [97914223; 84766978]; [72784909; 39916581]; [67072696; 98857989]; [19033906; 47658493]; [44876507; 55588471]; [60268013; 65633622]; [62406915; 74503314]; [82008684; 34484758]; [92483853; 17394228]; [22555641; 20988495]; [53361541; 78202113]; [24166963; 11451781]; [88994873; 18639042]; [91125668; 150587]; [89112943; 23166063]; [57967605; 49413842]; [98983785; 25387612]; [3199257; 4010233]; [92855830; 10450800]; [37660142; 83573019]; [74032906; 27250197]; [49374171; 2532518]; [98237002; 53104044]; [86149369; 92787530]; [58671319; 85350930]; [55950817; 80692684]; [78778249; 53518324]; [717822; 65706416]; [9163006; 96241395]; [17109572; 85321899]; [71073682; 88587217]; [97500047; 32365305]; [98495375; 40487381]; [91192661; 3192277]; [78049576; 62715326]; [1700880; 6868811]; [21518850; 65703987]; [48549207; 49183941]; [23508450; 88774222]; [46417251; 41174197]; [60186175; 86913803]; [44412119; 55440357]; [23256676; 11726789]; [26061586; 88837682]; [35725124; 92341709]; [39465060; 22584991]; [52006304; 23142247]; [45589420; 33243036]; [58785776; 33066222]; [20070618; 44642266]; [20301043; 5905737]; [33944142; 57264026]; [67840572; 16535669]; [28625454; 71259599]; [76879648; 37789899]; [10621526; 76067488]; [25497824; 54364213]; [9506892; 49934761]; [94223920; 92902608]; [63811145; 90008208]; [62980899; 34064403]; [50341233; 15816602]; [31812363; 49304810]; [7676308; 74277694]; [82252851; 14487672]; [530179; 90120097]; [38671712; 99183957]; [66025959; 5728558]; [56800915; 76135646]; [35380704; 60943472]; [16696750; 69674947]; [64282254; 15460971]; [31289907; 99594957]; [15142473; 81356003]; [34183300; 5088594]; [22139481; 32275085]; [47612357; 81863314]; [30797972; 60260476]; [38180999; 33564478]; [72350245; 75588199]; [34620427; 24706579]; [63996626; 36266100]; [36313051; 93606613]; [33217989; 93111537]; [52704611; 55681098]; [57224189; 74953282]; [22330952; 96787029]; [53260666; 81465146]; [64249893; 29582616]; [72134000; 48999898]; [97876370; 59777683]; [85949017; 70696335]; [30793386; 96521380]; [94270846; 70496404]; [92181851; 21949196]; [10454709; 12825878]; [93672395; 31014905]; [12029100; 17495315]; [18227766; 41629298]; [98706972; 49257975]; [78730940; 72115549]; [74187429; 84054151]; [91024049; 18100989]; [70396216; 18852610]; [63597312; 84488604]; [74120703; 79667153]; [43543660; 41148291]; [75766528; 47266437]; [90884551; 73685267]; [88779007; 85055566]; [18641552; 27637628]; [77628684; 41087841]; [10430036; 54257407]; [99186909; 20246812]; [75711488; 62979466]; [95347989; 60605403]; [88548165; 44600495]; [1996092; 9673550]; [20046439; 72664050]; [84678104; 40780356]; [12638873; 34139255]; [49692680; 41476847]; [98391831; 82911718]; [76396060; 68938473]; [61843697; 73233262]; [14037747; 26326592]; [16805566; 10654937]; [9862969; 8792429]; [62578955; 32497771]; [28768760; 13850023]; [58673512; 38206091]; [62665789; 29538266]; [13494372; 97151975]; [73809329; 2904551]; [34054373; 85445961]; [59908961; 74594876]; [86834279; 68334315]; [84579815; 70804669]; [46241309; 51508821]; [76612936; 62492009]; [53344492; 3504102]; [89241333; 74428891]; [38983989; 91886421]; [11977618; 72811543]; [38653055; 98007575]; [36048965; 36000097]; [5152844; 58190548]; [11542875; 74813275]; [68880956; 37253449]; [33860777; 19531164]; [58954271; 5673390]; [85528066; 17671459]; [23694925; 74657844]; [67539369; 62669909]; [46879150; 27894763]; [41519657; 25810257]; [30354105; 41760183]; [65703334; 94926646]; [92985510; 5251399]; [2278306; 85484737]; [77936611; 1701241]; [76143969; 71463275]; [43937875; 2912175]; [71006483; 51187599]; [20482739; 72770230]; [95048775; 16471842]; [53404067; 86150573]; [37239819; 12410069]; [80026772; 87612048]; [56638777; 72827206]; [16438642; 40062751]; [48011256; 68603820]; [18309122; 4364674]; [55177114; 94890301]; [10411075; 57993738]; [46002412; 12751190]; [24861908; 37559736]; [79578978; 29648553]; [87651510; 94437231]; [56501173; 28694067]; [14216344; 31925598]; [73878272; 35239746]; [18696594; 62431728]; [42891324; 43233806]; [8027687; 58606813]; [89902615; 48194351]; [47156912; 65981530]; [6625707; 60727578]; [99642869; 73850111]; [58480340; 20343988]; [68081648; 57974572]; [73574282; 58890982]; [15495587; 50268772]; [95303485; 1427772]; [17058741; 86218804]; [48007408; 84597837]; [3824360; 68018308]; [27895135; 85568555]; [91010050; 60233061]; [54796580; 14187527]; [24741221; 31729448]; [73056374; 9052558]; [74885035; 97818617]; [1413580; 72679688]; [85906910; 86019740]; [36608795; 36065289]; [13054970; 99491242]; [58915987; 87829221]; [39514687; 94308865]; [28555640; 49531722]; [65584938; 33935559]; [94103504; 54001980]; [93150459; 46045549]; [31775546; 81113356]; [17980133; 22792479]; [48857354; 69974147]; [71514325; 71276033]; [99260113; 81055756]; [15534737; 1258487]; [88863608; 85396541]; [66575175; 74356879]; [49927838; 83529492]; [48605584; 61592160]; [35683017; 87968893]; [17212940; 21181524]; [39538350; 41518284]; [2501230; 55299378]; [40586167; 32581402]; [26460627; 98474672]; [46659463; 12852703]; [15612613; 94935439]; [63929667; 20742587]; [14141238; 48584619]; [62753225; 410674]; [38566116; 55802749]; [74510206; 90413909]; [92185817; 42040540]; [97451229; 83965328]; [41654383; 76482808]; [39766243; 59307818]; [14877089; 33144414]; [47721638; 66325259]; [19091202; 1249550]; [12716885; 20436846]; [69921326; 63072042]; [87752411; 2918943]; [7233384; 13327874]; [49611329; 44623337]; [71996442; 51975041]; [31890439; 44182100]; [2648427; 41472124]; [58228727; 27831065]; [18143170; 87096777]; [71115942; 91089666]; [32773063; 25702134]; [56578018; 76026657]; [6919289; 96000205]; [50968381; 12045623]; [71241817; 23731747]; [40927629; 21663900]; [60216800; 23308413]; [28101319; 37514028]; [45076739; 77588068]; [34522429; 15936127]; [52582734; 49104661]; [78738750; 19995811]; [11972817; 71646124]; [4515141; 51072197]; [10532341; 87431934]; [18945668; 25193240]; [65066127; 73058558]; [9450465; 14933634]; [54323441; 23326678]; [88733174; 59691181]; [34186525; 73210343]; [10032940; 28535411]; [56186943; 32927285]; [62960933; 18602692]; [35319472; 84409082]; [86749194; 58035084]; [7571753; 3200855]; [60633679; 68789381]; [71813488; 28064934]; [13752585; 57887071]; [51910351; 40780681]; [97297826; 72370991]; [42849450; 37416130]; [18842418; 69950411]; [66011233; 78584819]; [585445; 30832782]; [13430670; 62538049]; [84760358; 5567234]; [38662126; 39890379]; [22138999; 7904140]; [30806160; 26724763]; [42337247; 95904413]; [20483642; 32808595]; [86672950; 63852456]; [48243759; 43762329]; [48236571; 6187305]; [340769; 43154073]; [52577379; 13616640]; [77895921; 28515848]; [97765927; 56383261]; [44258350; 8324780]; [3503080; 71996463]; [31488296; 70324456]; [11894118; 4473294]; [72934439; 58844666]; [29146327; 74618600]; [13330693; 56738286]; [96572279; 80860774]; [87439389; 68855256]; [38758535; 71688126]; [18736671; 69246033]; [78580651; 62670920]; [85287527; 86282734]; [81652458; 48623391]; [93329961; 80136968]; [60756864; 73553646]; [74357852; 2062395]; [80029695; 88910484]; [99313244; 78515575]; [47549777; 41611658]; [64928996; 80122895]; [64356774; 98101212]; [76674903; 3501762]; [29358930; 36126797]; [78740477; 81403905]; [2041190; 58287927]; [53081556; 30966447]; [14339738; 79642162]; [92239760; 81098695]; [95971081; 92704254]; [98005562; 88399196]; [7476830; 29259856]; [46337982; 58093221]; [7743961; 54366523]; [90945394; 9900754]; [44910352; 50859324]; [40679417; 38214223]; [58528680; 68372016]; [39638929; 17087122]; [13293584; 45334136]; [63821390; 85534566]; [46020715; 40968235]; [73371366; 1404737]; [1508578; 93166108]; [38963397; 86976068]; [82444262; 4655875]; [16925893; 37344809]; [85479759; 39609867]; [1778510; 20566884]; [13362192; 70403349]; [20025884; 34397523]; [28378394; 1926854]; [27957888; 87126130]; [61387418; 18698029]; [29649066; 92419386]; [82394648; 95498135]; [80902268; 65869357]; [42487297; 71670844]; [60786746; 42824727]; [61810837; 35723318]; [68146864; 55198929]; [5724820; 41440406]; [23307117; 74606280]; [25665909; 30380639]; [24194906; 99051047]; [21032313; 44625105]; [81492011; 24570526]; [36385236; 39154381]; [78107119; 944147]; [21530949; 34673823]; [23174284; 20026774]; [15561115; 70363149]; [18305879; 36189814]; [23449167; 97096945]; [78849731; 38211350]; [95946653; 70768782]; [61730534; 67468759]; [59227500; 74842079]; [90329505; 71753784]; [70663986; 67703523]; [77023973; 34159262]; [42919145; 23322677]; [57817485; 75533428]; [34833538; 88279823]; [52059088; 28690614]; [85509625; 59390212]; [29039801; 22084453]; [71659529; 36473005]; [1847353; 87004190]; [95228533; 13723313]; [62063585; 14908365]; [38249216; 68707622]; [62100950; 46203635]; [84954756; 43350259]; [90028014; 52996934]; [27511265; 20001266]; [38870805; 18900640]; [65210108; 50571303]; [68030001; 72535763]; [74042142; 89288]; [79193604; 55757702]; [76097021; 93306838]; [31405470; 30909081]; [52951438; 21443120]; [16122143; 23710501]; [54305180; 17698530]; [19767437; 46271618]; [92408829; 55457624]; [85885435; 68108897]; [11383923; 92832009]; [84433553; 10711930]; [95293378; 2840712]; [7629508; 63879697]; [78372072; 17435258]; [10482740; 16377]; [32138749; 28083344]; [24871947; 65192823]; [60139279; 95294305]; [3368487; 41237954]; [66658431; 93993062]; [36829415; 38062542]; [38912444; 46856037]; [86181983; 34928698]; [13417078; 75016314]; [19355654; 443976]; [10885442; 95996062]; [72169919; 32053336]; [89382742; 45961903]; [91902239; 40398535]; [95450333; 60177895]; [93791190; 39489067]; [26587349; 62409972]; [88774015; 92445073]; [57913765; 74148920]; [22923199; 18497332]; [90808951; 91318446]; [94876149; 83898308]; [65736069; 11683786]; [20919827; 49163390]; [82533669; 32167209]; [7088631; 74059646]; [15524887; 27738146]; [56296075; 8944754]; [40282417; 1468865]; [68596320; 12466612]; [13627712; 643502]; [72624321; 46565796]; [80018518; 63536595]; [86631932; 67847150]; [46292923; 16921866]; [23419906; 46085375]; [89703217; 28207411]; [5460158; 47094824]; [84867802; 70067804]; [87223338; 2592669]; [47400439; 4231975]; [80575295; 60691554]; [77014043; 96742553]; [47297994; 92229325]; [5126947; 19156102]; [94642152; 1700523]; [56294215; 46667185]; [58619190; 23729008]; [65911422; 87468027]; [94905491; 96608214]; [32958138; 86258451]; [56932563; 84054192]; [34142712; 95201241]; [78380695; 53850576]; [12502818; 77331261]; [1831394; 20402174]; [93819950; 33942460]; [47095917; 2671230]; [18481746; 92971506]; [61404889; 97196167]; [97801402; 30431139]; [97437927; 87526883]; [13734962; 87149369]; [45560697; 15398022]; [1021965; 48167605]; [97529889; 84046610]; [56123406; 86796140]; [3184960; 51180398]; [24835031; 76478265]; [63062579; 72126866]; [28720267; 53665854]; [79677372; 60631381]; [41634124; 22626080]; [637680; 88837464]; [69141984; 99151509]; [85777472; 22616737]; [71057471; 99022941]; [29442757; 59588288]; [77090251; 8169250]; [34051184; 31608251]; [6237578; 78879876]; [95952452; 66482334]; [4973496; 67858933]; [93140097; 15341317]; [79266992; 48370688]; [27569954; 12674008]; [83557122; 72936767]; [66710124; 32280718]; [49268832; 28390021]; [51485003; 7423832]; [62569638; 59807883]; [23621976; 16619057]; [12080385; 11881012]; [5606709; 28954329]; [72170815; 23436764]; [36086596; 94437497]; [77413457; 75583524]; [34283112; 46783723]; [96399004; 7082328]; [99102769; 28741855]; [70871052; 68478022]; [33689818; 41738748]; [38014052; 61287553]; [80114774; 4591340]; [13174867; 82115757]; [74831646; 66064010]; [28946551; 91681260]; [69495852; 86765213]; [40618098; 56496766]; [27538896; 89349369]; [26856953; 57462954]; [23602227; 84139798]; [91550808; 5157515]; [85666654; 61410817]; [65260348; 35502157]; [26962235; 23031387]; [63775419; 15691635]; [61747074; 3698446]; [50677303; 27750335]; [54726545; 84547855]; [32234392; 85402206]; [2575680; 21371098]; [51008765; 36191706]; [32278663; 72616019]; [69008390; 63151725]; [69550573; 72882440]; [562374; 66628350]; [98375068; 4672311]; [50797938; 92935103]; [33043025; 54091170]; [24791639; 32715530]; [29614859; 85737189]; [27139079; 45655601]; [18965219; 66224052]; [77889454; 17271926]; [7969999; 40507170]; [53985628; 65527859]; [79191394; 27824329]; [11245620; 75012820]; [99871491; 96669756]; [51134824; 14674038]; [84294510; 61601950]; [61257480; 15543417]; [35628004; 87296433]; [85584140; 94163339]; [37662878; 37145254]; [52944838; 51220699]; [56281617; 63783577]; [15896883; 30141477]; [74245563; 92633634]; [66859301; 59378349]; [77580214; 97876685]; [51465699; 50689656]; [85614361; 11565403]; [88784080; 65152722]; [10208129; 28555751]; [16374748; 44657540]; [47693163; 80426142]; [27365816; 38840573]; [94811393; 18224728]; [8539412; 58863053]; [62715369; 4085041]; [29872789; 83328586]; [36663471; 40582374]; [37614204; 20812642]; [50054057; 40666024]; [93173569; 32846906]; [34972431; 39762993]; [14730926; 87008225]; [8896044; 66011542]; [77347304; 86574884]; [38660399; 49471432]; [56514750; 49807954]; [26641905; 43736819]; [76966652; 78085635]; [65238788; 27841220]; [36595033; 2095485]; [50995446; 49647330]; [44724157; 87674385]; [71282915; 65744015]; [5226291; 39574302]; [55362188; 20938996]; [73414952; 27828036]; [87223621; 84369754]; [19555872; 52586508]; [30667028; 65694109]; [97409846; 10912463]; [22941043; 45710529]; [95362098; 68753087]; [92014409; 1327098]; [36949808; 90342087]; [2480068; 64657556]; [59572499; 17394118]; [44178217; 57112566]; [36100085; 21397352]; [39948276; 89316926]; [17224337; 39087027]; [84199401; 13564601]; [47276319; 74737380]; [49328059; 95650334]; [33962727; 49075212]; [60918845; 88136747]; [41131711; 98235331]; [99819497; 83737819]; [21262663; 91254123]; [59853095; 17724458]; [95917273; 1705956]; [2615545; 49292490]; [24054595; 37690127]; [57690330; 57788541]; [21502034; 62726772]; [2878857; 47492623]; [27516860; 43166696]; [56088348; 92422065]; [92885227; 2942724]; [2276194; 43754876]; [29835609; 87793859]; [78287595; 11559029]; [38221945; 68261965]; [62927549; 84501324]; [68511386; 37045878]; [7743994; 19765923]; [85663919; 96492045]; [52341733; 24873224]; [19606621; 75196545]; [1113312; 536946]; [3323088; 37415665]; [42700558; 19191774]; [42728451; 36023482]; [86092654; 23848398]; [93007522; 6841857]; [23188168; 1857659]; [62728042; 71506432]; [9836851; 6011297]; [73536921; 83061950]; [89364506; 32048192]; [4834664; 23903447]; [20838170; 52649153]; [34032470; 36831726]; [42281872; 14970766]; [19762808; 66327770]; [98436395; 50997963]; [1974224; 83399989]; [27622023; 37870711]; [46346337; 95357294]; [40948441; 44678085]; [39124775; 52536010]; [44405; 58359813]; [99965225; 65531824]; [46411515; 72679875]; [44300211; 65361825]; [72192726; 41090796]; [53214971; 76123648]; [27412053; 43886978]; [61785407; 58905207]; [52120932; 3004425]; [18764616; 14888063]; [20473517; 47711183]; [31912225; 21740367]; [44475813; 36374134]; [39358046; 99660819]; [47834926; 13189184]; [62463594; 43142515]; [4149630; 98915775]; [81333575; 29358856]; [1367523; 34205387]; [78930424; 85276229]; [16991291; 77215153]; [78840025; 94936019]; [30795481; 66388496]; [804383; 49338363]; [12856347; 33421236]; [38100298; 65132063]; [49438543; 59015050]; [93053318; 91453230]; [30954155; 93638329]; [56864866; 31512435]; [57106074; 7370742]; [88627207; 99117290]; [35358355; 89468389]; [79493486; 45124047]; [38842617; 96163887]; [83139121; 16558933]; [4027468; 87477395]; [29131759; 30972796]; [83084435; 28826474]; [55992256; 19436955]; [84616721; 27711863]; [10721422; 58903173]; [99251888; 63205716]; [3216067; 92451407]; [21978618; 56644498]; [45248892; 77000109]; [45903789; 94037196]; [8369735; 96304746]; [71763714; 96289919]; [3139383; 38252411]; [68783875; 12046680]; [34369673; 64793743]; [51820404; 92834351]; [3547148; 25297781]; [19308018; 9725496]; [22919371; 82467154]; [38224937; 76082133]; [92232410; 68471578]; [62359356; 88152640]; [3687408; 16307053]; [27076900; 154642]; [87286545; 19419155]; [63743690; 57342410]; [8754824; 6281465]; [68814608; 86239421]; [28922808; 48504286]; [28543244; 15142105]; [40042625; 84055484]; [59116412; 93211899]; [20456857; 8165509]; [11264711; 54274066]; [14607576; 83803927]; [80176193; 54910985]; [58295194; 89020413]; [73811133; 51599673]; [90018671; 3450574]; [69537927; 35559285]; [28639596; 33054555]; [99063926; 2867074]; [65732059; 86379808]; [60371535; 83080082]; [24844458; 4542147]; [12467834; 73275069]; [39604433; 52697393]; [25429268; 58405258]; [92656963; 20617825]; [29175549; 31167946]; [63089062; 1746960]; [48200819; 39185579]; [12711068; 75433966]; [90314743; 80058297]; [64900075; 97559837]; [22327406; 33168289]; [23455630; 64794385]; [85318876; 86644373]; [15399261; 88494508]; [74913805; 37982522]; [1296523; 1760083]; [11572921; 74548385]; [97628492; 53347719]; [67548724; 28383863]; [96236816; 35548024]; [78523033; 43449721]; [22673685; 25135377]; [48457616; 78919705]; [80329346; 46359568]; [80129628; 88738038]; [39077179; 3886028]; [21909277; 36739384]; [46429146; 18261194]; [57489330; 26140598]; [71391328; 75279039]; [28222293; 21922942]; [82879756; 73039820]; [86447214; 34443414]; [11453321; 88595506]; [75358646; 38686361]; [39161040; 66296193]; [73159367; 84753138]; [84748877; 87694934]; [2490649; 54212289]; [58047231; 86045394]; [3282829; 11599943]; [51625175; 22403089]; [68082459; 73444925]; [7068849; 82129853]; [35494172; 25604174]; [90583370; 64335279]; [50799110; 4990759]; [29792415; 93493848]; [63625473; 60345831]; [359532; 78606067]; [24218208; 83865586]; [47422272; 89407904]; [77327589; 66320347]; [56186449; 60413030]; [1174435; 29631756]; [13179420; 17714297]; [13131005; 44778575]; [83985949; 22872599]; [83391373; 64238612]; [84994247; 52302496]; [41363182; 60537312]; [51965711; 37832102]; [71924566; 77681993]; [10428295; 84158569]; [52784803; 80602881]; [54036512; 93370690]; [72516660; 12512317]; [23616221; 22595838]; [70228396; 45111861]; [42516351; 53129601]; [21579354; 38618988]; [58217428; 79812107]; [78744987; 47233039]; [80326095; 88217847]; [12275625; 34515614]; [84986174; 71121724]; [48536862; 29696664]; [53858306; 36059146]; [68790180; 86886414]; [8680080; 65192175]; [99872191; 6135226]; [43730513; 69438660]; [81352382; 72454422]; [9363834; 3666027]; [62503803; 87539239]; [80832346; 45806480]; [26613172; 89769697]; [54700036; 50795095]; [85615560; 47612173]; [67098822; 35796465]; [48429499; 5277754]; [60852915; 31753656]; [81178573; 53537627]; [69932579; 30582043]; [78329994; 22973336]; [79391424; 89850668]; [24708245; 40203485]; [94677923; 67582751]; [44928044; 41804196]; [55424396; 74962852]; [79542634; 83116185]; [8953735; 15236544]; [64941325; 38548929]; [52792214; 96657447]; [67713148; 35589945]; [36876665; 35158313]; [90872616; 82414150]; [82322985; 56705242]; [92068667; 67042153]; [36651329; 89232750]; [79024262; 85343943]; [96964848; 52870466]; [2408878; 16156655]; [86251173; 78693242]; [73634954; 31035360]; [73024091; 18034462]; [31678462; 95460883]; [34432986; 80542822]; [33739171; 28309158]; [60198284; 12604000]; [31628022; 67387076]; [51435794; 58704688]; [5218105; 43946658]; [75475971; 36642894]; [42141946; 39507729]; [75801237; 5552524]; [75002263; 98588569]; [19567471; 31913310]; [49907594; 51967714]; [56030622; 24182929]; [18823679; 64693100]; [56487611; 80926375]; [49769002; 80848844]; [79495906; 50161960]; [9683586; 79516721]; [65947078; 21912997]; [67696499; 62920608]; [79916410; 62845904]; [80358551; 89683762]; [48131106; 81039753]; [72701970; 73695918]; [20427019; 64243621]; [94043104; 87372271]; [48885543; 76607196]; [50812368; 62280893]; [64120972; 55115494]; [11649073; 75991025]; [16209045; 68318731]; [96810108; 69836079]; [43538237; 61834990]; [47302244; 95754346]; [74893538; 64921158]; [12737223; 42842748]; [46846070; 64966991]; [45794363; 15541943]; [72868043; 55940911]; [84971313; 57084870]; [66201159; 24287495]; [42044205; 55281295]; [73633332; 52559658]; [73796254; 78546805]; [56020115; 42041450]; [55349959; 52288863]; [85936415; 54031566]; [58635786; 11114907]; [39931047; 22388879]; [17065634; 63323620]; [94588095; 64460377]; [67342826; 96423939]; [16191598; 37523771]; [9815795; 68557479]; [64448970; 48549299]; [36296259; 68008645]; [51353513; 93007736]; [37954615; 55943282]; [72781585; 68088028]; [54784758; 23183293]; [3513714; 41175406]; [80349305; 89269121]; [55760738; 64489424]; [70234782; 14611810]; [25659925; 87532836]; [2064837; 8487451]; [91210214; 89372132]; [40054166; 75505183]; [10519211; 8731224]; [97745720; 70165468]; [5939254; 89447596]; [15554913; 67900544]; [15298956; 93753058]; [87637933; 67152896]; [93484699; 95963698]; [16757812; 32774016]; [78412277; 44766335]; [24824655; 33338323]; [63693643; 94265184]; [79486047; 39748269]; [46350326; 31048758]; [11426330; 71816281]; [37396643; 5883239]; [83971836; 90779791]; [98662276; 37448911]; [37993108; 69767839]; [80663509; 63938982]; [45726275; 56190708]; [74460600; 96052567]; [6161131; 61837250]; [50005338; 1770466]; [64681366; 12951105]; [54487900; 11395578]; [96685605; 28448939]; [79533522; 94143106]; [2284259; 33685681]; [8975196; 24139649]; [89482351; 34981241]; [20781230; 74780953]; [72817585; 78414056]; [59203106; 97603272]; [76255202; 64201420]; [19707104; 74711151]; [57634508; 88551283]; [15193683; 39484952]; [92018663; 42533843]; [48845728; 53821812]; [31481849; 94872345]; [55000516; 72682662]; [80263912; 39010830]; [20316815; 90266001]; [64622494; 86801535]; [9047890; 88376880]; [63116977; 39532906]; [97056367; 90790355]; [52203341; 96791403]; [7246135; 15522299]; [85502066; 2568615]; [85454340; 36466068]; [15334970; 8336671]; [27395013; 94333163]; [39379723; 91502501]; [51228930; 22355000]; [63115261; 36073726]; [45473481; 76073078]; [29253713; 14726358]; [234636; 16991856]; [61549070; 17592842]; [99685215; 47357936]; [58839879; 68159115]; [10384852; 82954936]; [81293281; 36261432]; [84550503; 54416256]; [28598824; 18648663]; [8845354; 71451747]; [15386701; 29967658]; [63289037; 29604662]; [1095092; 7075521]; [47287989; 32149858]; [54743591; 25580699]; [13492779; 19861910]; [60281997; 43031129]; [55117641; 39886120]; [42612180; 8654649]; [19266420; 76056552]; [46803092; 24044415]; [23976053; 11518398]; [84455422; 69440206]; [29077288; 26429645]; [68257026; 81850520]; [8798590; 53308330]; [68280454; 73659502]; [83931608; 53192401]; [99831532; 25962565]; [38554605; 46589725]; [27787368; 2205536]; [57578390; 23225447]; [79552323; 22993176]; [24300934; 57636421]; [76370285; 77516533]; [5526522; 96515565]; [10938484; 95364985]; [606350; 74054992]; [90049000; 61875303]; [74187090; 67709177]; [6732011; 93402446]; [9691314; 51583320]; [16636011; 20760348]; [20847637; 74169477]; [91382210; 75082548]; [30253717; 606241]; [65189699; 60030205]; [11776588; 3771576]; [38905568; 52146913]; [28666455; 28548091]; [20944200; 13836709]; [20760714; 84291970]; [94720444; 94546272]; [38560542; 94507744]; [62810037; 11593703]; [89516557; 56218714]; [8254879; 15188974]; [88367107; 81967251]; [48498677; 41638691]; [12530603; 74626877]; [31458694; 28249372]; [64272485; 19126647]; [25235841; 44079202]; [36823613; 1512101]; [16403231; 50610692]; [54619466; 32241471]; [4446362; 39651066]; [56388077; 19741588]; [79170811; 88789290]; [53383032; 51080893]; [79639295; 1223864]; [71940780; 6586268]; [8975208; 92863410]; [25372904; 56830301]; [652167; 76178025]; [59762950; 25298599]; [40588413; 46222133]; [48762405; 14907538]; [19465960; 85195479]; [91838759; 96236005]; [31104000; 96020949]; [48360424; 31512561]; [19262995; 59771665]; [84295790; 58913638]; [2460266; 86790246]; [45731568; 11346992]; [5074965; 97876023]; [50934976; 47917940]; [84603999; 11708843]; [82232425; 3428372]; [19227930; 34774986]; [22776736; 18719378]; [42597053; 50241692]; [94800608; 49407203]; [89752728; 42880128]; [20177674; 56109789]; [56092327; 79116251]; [23035151; 53559895]; [37828729; 89228119]; [3857674; 65163964]; [3455843; 77175327]; [22553631; 1669856]; [31249712; 32175225]; [9588375; 53365245]; [36486975; 85488667]; [53794384; 33372357]; [63829962; 67718847]; [67550312; 53457118]; [40098204; 84769477]; [85672369; 96032478]; [95922526; 1262275]; [55601004; 92941884]; [66180452; 73120350]; [89507787; 42974617]; [45359077; 47006632]; [56626799; 97157409]; [2819739; 58619109]; [73917115; 9513797]; [45420771; 75647795]; [18949989; 72115170]; [20027844; 58320338]; [52503258; 42799968]; [15443513; 61021802]; [13718179; 34443279]; [35822955; 55545391]; [8040658; 59539777]; [35413529; 51308868]; [77069032; 31299218]; [26048884; 34831620]; [50653332; 79863349]; [19589760; 72799093]; [62251298; 49265800]; [91966186; 52141362]; [17977616; 38877789]; [89398005; 40683102]; [99554819; 74534623]; [52276341; 15271064]; [69180581; 45683535]; [96680716; 4850745]; [87308060; 18779230]; [32659410; 67835766]; [66807015; 13436717]; [50536045; 63924423]; [91584872; 42534966]; [32573334; 2622766]; [13873916; 27337805]; [38274847; 3946913]; [77283684; 31909922]; [58514941; 3851419]; [64524697; 98519516]; [66204412; 51390815]; [54784464; 67120959]; [30521414; 53069492]; [94318653; 50863872]; [60048350; 88074221]; [13599750; 47058823]; [45257840; 89818304]; [60929269; 12073341]; [16486078; 88838195]; [50173924; 50100244]; [77162743; 46985234]; [98013590; 28291031]; [43434874; 49393091]; [94376105; 62647151]; [42316482; 14578647]; [92976669; 10858711]; [16055417; 30504035]; [96215885; 3182398]; [80862539; 94524050]; [95436646; 82941923]; [64316624; 20192031]; [70175494; 71939655]; [44356066; 69673113]; [18165684; 91367285]; [27050714; 77838417]; [83846337; 88248433]; [62671444; 74152488]; [62167053; 92264674]; [35455797; 48387060]; [31772847; 14754990]; [29910439; 94104144]; [5104362; 84991752]; [69724848; 64432708]; [37300497; 93800252]; [58757233; 25765606]; [60393421; 1375264]; [33307310; 7641907]; [62127618; 70573955]; [38647667; 87627265]; [13592360; 12099868]; [24903890; 55016209]; [49695595; 54108065]; [97091485; 98075578]; [98836598; 52387837]; [19660779; 9128635]; [73652297; 7889261]; [51370186; 87618319]; [81955671; 10614807]; [96875844; 29641375]; [27452182; 47199188]; [6624991; 9717520]; [91002607; 37455992]; [3078594; 81096322]; [39402610; 89359144]; [30481467; 1526159]; [7238571; 7432705]; [19918704; 5629767]; [35115183; 27791804]; [29981453; 87428269]; [67176136; 15567605]; [4371211; 77516220]; [99546017; 30512230]; [27410670; 7136864]; [68353729; 88552989]; [54446227; 82864327]; [15582531; 67660821]; [18796190; 12245850]; [79709219; 7731853]; [59713609; 85048575]; [99835176; 92315539]; [51119333; 27457304]; [3850653; 70052916]; [18808725; 18687617]; [50428732; 27874556]; [70243173; 33507027]; [12581893; 45679576]; [73100576; 54265822]; [68061032; 17930013]; [30921015; 81208542]; [63469647; 55393485]; [31870720; 76209328]; [45940746; 74991710]; [45880612; 23536948]; [15381554; 29907519]; [33235531; 32704374]; [39488379; 75140084]; [46894743; 67729323]; [70391636; 28133957]; [4286114; 70530986]; [62260228; 27116388]; [27133380; 61819227]; [93342202; 69057048]; [72628410; 10904720]; [75728586; 13586402]; [43255471; 98115062]; [94821226; 57723986]; [16539497; 14513601]; [66239364; 93641744]; [4517270; 37280883]; [96203837; 41401780]; [3041904; 61691494]; [9626576; 92335593]; [42233386; 24268600]; [6556415; 10960444]; [64991771; 43653421]; [57506099; 18001001]; [63130799; 41682875]; [52852460; 30955276]; [50589798; 37651749]; [60044902; 74200569]; [33815907; 94046579]; [27242843; 6569512]; [29839575; 52934490]; [35456406; 33157807]; [47552226; 42194123]; [80151756; 38285218]; [36077287; 2854185]; [5931234; 95903346]; [32756307; 78446095]; [50428844; 31508938]; [16037326; 48765248]; [3233409; 6343805]; [21534537; 33135527]; [44291681; 58327903]; [31634187; 97574660]; [76105817; 62566434]; [46681698; 11738635]; [24918349; 7380686]; [35257079; 52191204]; [86726321; 31241773]; [35568413; 28165699]; [8920159; 66739928]; [97854200; 12313769]; [46279603; 82857379]; [68870081; 73231870]; [56247161; 48871443]; [44546274; 26675411]; [56201955; 54046071]; [4872525; 13111048]; [79478084; 45568321]; [80967871; 15107397]; [60359357; 93482536]; [98988079; 93195640]; [27640535; 38822701]; [37738026; 25919078]; [83562133; 90618172]; [67928966; 22804377]; [64388168; 85895348]; [84908782; 22260334]; [89072577; 35499018]; [94124954; 11466523]; [89487185; 26800805]; [78803126; 73844763]; [27715729; 42290310]; [44000278; 50257157]; [3528502; 53517881]; [3307251; 22524975]; [35965626; 80327175]; [31288072; 16203250]; [76485814; 19741927]; [92308799; 46582639]; [65532590; 95878795]; [35668379; 5227889]; [77924265; 28840404]; [55325791; 28262726]; [19920907; 33607013]; [78352963; 81607693]; [71045519; 38227038]; [3245781; 43731009]; [31465902; 43173073]; [30714585; 78570752]; [98770932; 70814506]; [3966259; 72856909]; [92929712; 28811770]; [44162949; 40900542]; [31499825; 65517933]; [65736232; 11372207]; [7919558; 90477439]; [48786522; 67004365]; [54182044; 11547097]; [13001134; 31390687]; [30197257; 10005045]; [8231428; 50745188]; [67243885; 82547508]; [32590722; 92677553]; [49792807; 63795188]; [32161805; 71412129]; [81316191; 67004846]; [91569174; 87495285]; [58006228; 59907520]; [62018522; 19496006]; [94279586; 23912240]; [77873796; 73003445]; [86735807; 33820325]; [21006581; 19906238]; [58316041; 36974402]; [14959223; 82503077]; [30359773; 90668239]; [14252356; 85581016]; [90583447; 8761002]; [83925230; 9067696]; [21033380; 14863858]; [23352528; 82759749]; [6090697; 77800824]; [18014654; 84699918]; [55430615; 40044128]; [92408497; 87231465]; [65354460; 41466030]; [27136821; 19346567]; [36300692; 28769489]; [49430713; 37425872]; [86273049; 52885990]; [12472202; 41889101]; [32201556; 8969656]; [21180404; 20816842]; [72667147; 59255455]; [54261841; 89979037]; [30155124; 99134037]; [6870044; 63118152]; [19956477; 2056411]; [23933715; 12057950]; [44183151; 74719788]; [3356299; 90568957]; [62185589; 7683264]; [1570025; 98025838]; [47885683; 23747362]; [24169301; 88857646]; [89903143; 31601376]; [29775426; 59462311]; [52276406; 11404192]; [21223170; 8438552]; [59840933; 4229479]; [91580808; 52139623]; [95264904; 31901987]; [48351853; 30561234]; [41150610; 73474934]; [6009726; 92753409]; [23068927; 74604455]; [68896416; 37911539]; [98639577; 59678547]; [36079046; 67742818]; [29765285; 10314251]; [42326665; 22221988]; [17355783; 99763644]; [76203969; 97030769]; [55615171; 34219267]; [26654986; 28231937]; [60326224; 89822035]; [67112096; 71349293]; [22919078; 284829]; [70199727; 76989438]; [57771110; 29752549]; [1336821; 66996765]; [59921564; 8912325]; [90665607; 51689851]; [20457905; 68924873]; [6394815; 49836887]; [53798608; 14432476]; [25476640; 63574503]; [40313751; 7498989]; [22772799; 80325342]; [58575246; 51334993]; [85422423; 4264885]; [41712366; 84329137]; [60391209; 78973669]; [57552884; 68196902]; [97257643; 33794195]; [26265084; 51794436]; [96216860; 57351596]; [83910774; 11635104]; [46300187; 90727989]; [91430283; 18456133]; [17799549; 30880359]; [77651367; 26525731]; [47559607; 4403088]; [55583133; 31297897]; [75495889; 39093765]; [8829271; 15945667]; [96549817; 96649753]; [16335454; 39806673]; [40893883; 85263320]; [41159552; 9806040]; [97178047; 2503995]; [98359284; 24888575]; [99407872; 39060445]; [32616145; 36761279]; [84916668; 4617142]; [93768042; 91560160]; [66956378; 7222877]; [48522826; 20989138]; [79950765; 3373164]; [77242160; 84495602]; [98608284; 83314246]; [63247075; 60525448]; [46019495; 45917957]; [55671845; 97709062]; [56535699; 47902149]; [9287983; 67103888]; [13528684; 82474491]; [11566067; 52359829]; [72192586; 6719584]; [54986453; 40722380]; [13832788; 24542513]; [99919360; 19390836]; [90111297; 96942999]; [87396492; 15924752]; [10468111; 51741496]; [95411494; 60312633]; [43724674; 7681373]; [98067104; 47359594]; [51742256; 68919110]; [23920232; 11822062]; [24581961; 75350938]; [14300999; 66555653]; [19795649; 6639248]; [8130424; 58895814]; [54488544; 79410005]; [83683406; 62383292]; [80021997; 50634823]; [31044523; 30297334]; [78666675; 26928019]; [72167382; 37100287]; [69097428; 29649719]; [10470999; 65297746]; [91088513; 15627949]; [83223879; 62792705]; [18059579; 20626025]; [16516972; 21151272]; [37606436; 67764224]; [13677818; 35206234]; [91961439; 58600590]; [59773673; 50245776]; [90334839; 21986215]; [43143643; 87061534]; [86554179; 62710004]; [15670201; 91168240]; [27920835; 62314820]; [57549116; 78554775]; [20270213; 41055251]; [46805580; 67545742]; [64201075; 64883738]; [87824177; 40328016]; [89129328; 82307737]; [35526190; 81296756]; [54710056; 44442176]; [70852301; 8902855]; [70108661; 53470292]; [35446348; 35366719]; [15348729; 42760927]; [44334928; 45875718]; [64318846; 64802454]; [130008; 40437660]; [46425147; 81899235]; [41840305; 77966964]; [3111369; 3391280]; [67833612; 22376543]; [82314272; 17409637]; [92100817; 49229532]; [23344347; 32896858]; [11913590; 30082658]; [64471137; 80248467]; [91868192; 14785952]; [79249350; 90329374]; [51810642; 33190061]; [58441939; 48081748]; [75462148; 34768185]; [68561148; 68263175]; [14033349; 82666747]; [43184087; 85856891]; [767713; 4067485]; [12156304; 20931338]; [1538847; 5375622]; [62523951; 35221816]; [9533984; 51787344]; [19832164; 59568313]; [16601995; 13958343]; [97316273; 77272860]; [76515049; 30041353]; [28969744; 93908601]; [96228519; 11559437]; [55395888; 52223305]; [50980690; 71554226]; [30521192; 86746652]; [56385926; 34710944]; [99639403; 19002116]; [90167967; 9394541]; [6131538; 8895407]; [50985462; 49668712]; [90597839; 58504009]; [90600683; 55646022]; [59951557; 51994039]; [93732296; 77723659]; [7626768; 1901900]; [25427223; 64390513]; [27178119; 50865771]; [88489130; 46374938]; [80048853; 49907464]; [83219156; 55608751]; [76277596; 36366071]; [70628673; 77441278]; [51455070; 64077957]; [17327107; 8012419]; [78146102; 20055110]; [36338181; 77777387]; [8529584; 71131102]; [8091243; 96228920]; [68452364; 27591749]; [32245143; 26439455]; [12291495; 46309054]; [73617228; 60934810]; [1338833; 86149786]; [64992364; 49466837]; [28856588; 36448822]; [77406824; 67849615]; [52488940; 63171275]; [96768521; 16105525]; [78073849; 99727847]; [38479164; 45396338]; [24952691; 61243067]; [53120719; 66056085]; [25100041; 17875108]; [15062614; 92572582]; [26007798; 40971795]; [28932577; 42920502]; [30825908; 81774002]; [97215931; 71226374]; [75883367; 39527618]; [79872492; 88523835]; [49055655; 65974123]; [81976384; 68432939]; [69266440; 65772244]; [10968307; 71292519]; [7185678; 17317246]; [15436612; 30344334]; [85146655; 75544891]; [60738940; 27007999]; [7189487; 55741164]; [83838804; 46404846]; [90894819; 89243582]; [79690085; 89378330]; [28368469; 42164503]; [26337002; 86964043]; [90636963; 51445895]; [27844239; 85731316]; [22564354; 68877830]; [27479668; 83242899]; [5599716; 43658259]; [31232511; 98328621]; [17342230; 84464856]; [66855033; 18355146]; [17006683; 344158]; [38068412; 79389044]; [83594991; 85876240]; [56865152; 74154284]; [21336966; 45792483]; [11583667; 34271523]; [18387228; 84063838]; [62653575; 89386088]; [76433458; 85041992]; [48288794; 80567863]; [38668049; 76495857]; [5207317; 45609280]; [46482570; 16445309]; [44804050; 38390305]; [22974840; 45301023]; [20322135; 43678874]; [17152811; 95350407]; [38280391; 67946300]; [48297481; 53354081]; [39097962; 77638407]; [28269836; 62848779]; [41933464; 56545958]; [83532344; 70745480]; [3327920; 56668823]; [93500876; 33445067]; [98261293; 6052949]; [48231147; 29068614]; [38108782; 29047622]; [81962889; 93729260]; [89473440; 12487490]; [29306121; 15775703]; [89323059; 77125225]; [12641809; 42568252]; [11070992; 20761053]; [88412318; 99442495]; [79324298; 30418336]; [55595766; 39979691]; [76724992; 12206355]; [68436720; 713731]; [66430585; 51987137]; [37972532; 1812232]; [54578060; 70601175]; [23584949; 58459711]; [12599825; 30620793]; [208860; 87923484]; [14839157; 61892998]; [97227975; 37351300]; [45222607; 61559567]; [82498707; 27260361]; [25045071; 41482907]; [88009498; 98382020]; [25937665; 34469656]; [196494; 82527802]; [60849349; 6432016]; [78571443; 32005686]; [84582158; 84412244]; [56659624; 95069912]; [88078027; 95287100]; [7502323; 37847507]; [96294905; 80109278]; [84421407; 70832646]; [13330067; 60113601]; [18146948; 59753725]; [50485864; 40996931]; [343009; 6336098]; [23067975; 21907678]; [9267413; 23227204]; [76392773; 42995673]; [47424609; 57477632]; [33010944; 8130030]; [83686883; 90247152]; [15449654; 64054917]; [82035402; 77140090]; [92407474; 75216565]; [2777696; 13787258]; [72236759; 7458118]; [17411756; 18936244]; [1613263; 37275782]; [54824006; 67957971]; [86134578; 92855489]; [37411675; 71639809]; [17213857; 86380271]; [76209727; 73846545]; [91629705; 19057632]; [97554604; 24869677]; [612283; 70184506]; [33369407; 43631078]; [58171902; 17767850]; [93564831; 24062233]; [16337834; 64744824]; [30713185; 19047383]; [95068555; 33018180]; [1195962; 63089166]; [91266064; 9350816]; [2369468; 47430786]; [793689; 89557376]; [15540179; 8697420]; [21401762; 6224720]; [26416135; 93030339]; [17860177; 61716459]; [76120443; 84192762]; [32194894; 67503482]; [50888032; 61216458]; [99873555; 79066367]; [17607390; 99134730]; [5718059; 34504738]; [77033446; 3704998]; [850354; 40633692]; [79267048; 661074]; [24207568; 8549460]; [50896847; 77293611]; [64081865; 73249618]; [31325882; 30595951]; [78925917; 37559192]; [99268995; 84691045]; [80778721; 22591600]; [14615253; 44793892]; [5910745; 1507822]; [90043968; 76946033]; [8673848; 68005677]; [9202378; 52022461]; [54233825; 47940998]; [44858778; 70823604]; [988244; 24737784]; [4807718; 52322865]; [24817878; 90542010]; [47138628; 5044613]; [94922056; 14175811]; [58714004; 74935001]; [5941731; 72182658]; [48470283; 73310184]; [4790618; 11552181]; [98279298; 63491204]; [67585058; 13116473]; [71888808; 98458251]; [41868250; 9404762]; [82306637; 86377239]; [1096314; 59735901]; [88231841; 44370245]; [59391823; 37449419]; [26707821; 44116014]; [85162440; 5702193]; [34120514; 21038308]; [41278138; 54431351]; [18571280; 92246461]; [48135887; 26716704]; [97957190; 28100979]; [86539650; 47309701]; [21288366; 71426194]; [15444715; 24773721]; [97665241; 33776363]; [90507665; 16194527]; [25837452; 49565254]; [45740538; 49748987]; [68580030; 35122458]; [83129360; 22894041]; [22952065; 86246879]; [36470103; 27064997]; [98731386; 5839585]; [19229834; 96182596]; [65418841; 41982973]; [60294405; 47547268]; [52443432; 16483948]; [36797289; 26333090]; [30616378; 33778009]; [62279682; 43157754]; [54208614; 94263786]; [69034585; 39134847]; [57349371; 54789140]; [55484107; 57571370]; [6161538; 93696293]; [92830988; 5705251]; [51523681; 6291408]; [14362210; 31410703]; [81403447; 88892367]; [45365759; 93904897]; [79695042; 26279826]; [66564356; 53784913]; [5606611; 73902456]; [76161483; 75238829]; [76335370; 15588972]; [83492615; 75723932]; [71264755; 21316970]; [40880463; 94746483]; [21830206; 83627197]; [71937309; 66282003]; [10258644; 2647301]; [74803188; 44521301]; [53316543; 30658978]; [37830184; 18804890]; [93207059; 71243321]; [58247336; 54440958]; [69966286; 69067908]; [40341477; 7997693]; [58610133; 34335629]; [77753565; 34958642]; [61754560; 81006235]; [19628190; 91084545]; [85236190; 44643448]; [68190381; 16600689]; [46719126; 91453198]; [27980909; 83030279]; [77990444; 45329116]; [67753397; 148683]; [52183175; 18211683]; [67799401; 44906357]; [97120001; 7818827]; [66545970; 24950152]; [1119183; 38288502]; [24282195; 97110315]; [26575886; 80832833]; [2869463; 42692429]; [40153012; 34048899]; [33204173; 49840709]; [53655589; 25096743]; [26253938; 79429388]; [94725685; 61603046]; [92210366; 58836114]; [44925888; 48760093]; [18177568; 14079535]; [38977394; 17007146]; [69017419; 31178466]; [21983385; 18810720]; [57369246; 63484774]; [82529682; 16058515]; [86132186; 9503780]; [97455554; 20485244]; [24304470; 78641470]; [72960957; 7208290]; [65031990; 4666673]; [98683174; 7112715]; [11606219; 44748975]; [70380439; 99802627]; [89413630; 62016854]; [20755577; 8112652]; [80658089; 41994891]; [72855425; 60530441]; [63779324; 9087505]; [81432086; 26652394]; [62388777; 15416078]; [82259882; 79598068]; [2742617; 70282315]; [51967761; 78659227]; [90208881; 69913496]; [40249500; 25748340]; [44238038; 41189025]; [8321588; 12711323]; [98493436; 48654050]; [95606732; 75185625]; [22753716; 57540808]; [87050839; 2862983]; [11789497; 17838645]; [88515489; 51015495]; [67190204; 80940536]; [34245708; 79112751]; [21874408; 45144692]; [49992224; 92062811]; [68117225; 16421751]; [13781190; 22974034]; [50751625; 45576567]; [46699426; 50076663]; [71205262; 5274710]; [43465332; 69894884]; [91081875; 72762944]; [5918853; 1946385]; [24281715; 43610190]; [85954206; 4825661]; [80486471; 47223435]; [30816905; 6341345]; [28003493; 91050390]; [40924036; 77617317]; [51441739; 88540498]; [51567595; 55031409]; [61150024; 97875660]; [38815985; 92686948]; [27505847; 75495789]; [72921768; 76898772]; [99785252; 59060182]; [21161596; 78181330]; [3001979; 98964396]; [33847451; 39553131]; [55906159; 49495930]; [22521042; 49425521]; [6034480; 12559745]; [14481453; 6715460]; [87744689; 15909275]; [51614217; 69305425]; [38022571; 53788293]; [30535337; 9868159]; [37244894; 9800465]; [81101251; 67602437]; [71066183; 8728574]; [58386817; 82768155]; [10285601; 51221669]; [37298333; 91454086]; [21074989; 41694740]; [51330159; 71691279]; [85982220; 64810151]; [3558153; 2022176]; [78189393; 5496333]; [14794890; 12287121]; [94989096; 49904246]; [18436155; 36298666]; [65924404; 64579559]; [57234864; 75802281]; [7055685; 52990308]; [70488779; 58431151]; [28672141; 80389456]; [20309074; 94490088]; [75870455; 13152178]; [24801688; 10028669]; [82763004; 48330148]; [36688795; 53960156]; [10156874; 43141604]; [88131346; 14991335]; [40678755; 88331297]; [68730519; 78060076]; [62145084; 22651631]; [9219481; 98768795]; [73403670; 63535051]; [2330916; 2427830]; [86900174; 88828625]; [9773255; 4494331]; [89142396; 69570069]; [62477813; 96109057]; [94184831; 61076868]; [51124299; 1416754]; [24617430; 982556]; [89530123; 43933059]; [81296717; 21661066]; [11857395; 96604899]; [91813670; 10934318]; [24278640; 23956080]; [70942827; 25697285]; [15415742; 10656734]; [45278955; 66951746]; [75372008; 94656760]; [3729542; 34609290]; [53059617; 2585858]; [48206827; 79899283]; [86494679; 89888918]; [62449984; 45710949]; [90168549; 22597578]; [67997792; 80219163]; [43964369; 71510951]; [90858570; 4370786]; [8058199; 5911243]; [77915606; 12815177]; [12473978; 4873465]; [67758077; 64454222]; [31317830; 73463847]; [45467791; 57168103]; [33727131; 57085300]; [6844601; 99627500]; [67069965; 76341855]; [40300482; 99669065]; [35729099; 18927614]; [74937397; 88177700]; [74515455; 41167868]; [34594439; 70970330]; [61026171; 29313908]; [27880149; 78141705]; [64743099; 64700757]; [40483947; 22951441]; [97199; 41417874]; [76771438; 17330599]; [38344142; 76132424]; [78971995; 10782003]; [88422129; 40630391]; [72375545; 54558062]; [57534828; 89613030]; [17930510; 67145310]; [85758501; 85344173]; [12643642; 40549851]; [77794533; 40553074]; [43376953; 50589688]; [94661422; 37048999]; [75215573; 61077962]; [59452358; 47723123]; [22197775; 22310695]; [97574739; 81691799]; [65849366; 61570518]; [73518132; 84318250]; [87541386; 70861979]; [26010106; 16195933]; [63106998; 27233232]; [92932111; 30852027]; [67461625; 84191732]; [19678420; 71888897]; [84687436; 51911375]; [95711783; 43659790]; [6253933; 846872]; [89237680; 23894417]; [3830703; 40933656]; [30302355; 86111906]; [8237268; 38217177]; [16026739; 22632254]; [15846267; 95999334]; [94764047; 54194431]; [31728228; 66050992]; [89852957; 49335332]; [63710540; 36462661]; [51923615; 47938706]; [9905347; 1510772]; [31592946; 78150601]; [42939740; 1121385]; [99758467; 46784337]; [15179919; 58979623]; [35551384; 26726547]; [86195452; 45720055]; [97856883; 68370680]; [21402452; 82516211]; [13844842; 49059363]; [4097281; 74800273]; [38151921; 6165646]; [2863723; 28285164]; [87195400; 2946809]; [42715978; 54674428]; [48055647; 58918662]; [21454758; 84382821]; [23408679; 69720351]; [92462043; 59240047]; [44791506; 55401533]; [7206145; 7356773]; [85245144; 43251768]; [39135106; 64163041]; [67143508; 4759912]; [26324514; 50043291]; [27406815; 18560553]; [31160590; 9479538]; [12657426; 49952904]; [13527881; 23798851]; [69173852; 29414629]; [907407; 86436402]; [50994079; 91221387]; [79157909; 63285060]; [20314320; 56597522]; [57118186; 36590397]; [70588645; 9984059]; [81235754; 11010015]; [41906328; 66121819]; [81701208; 24837417]; [18099129; 41967043]; [93218312; 58331561]; [25836423; 20572354]; [71251298; 80871733]; [67694584; 59324196]; [86794354; 51739702]; [26685011; 41129689]; [1999628; 74812724]; [19723621; 87630752]; [34652078; 30205275]; [61840435; 83583413]; [89682856; 2442079]; [19090006; 84003112]; [57545388; 45527498]; [76970291; 73626218]; [8478814; 42117631]; [56822288; 86633574]; [33192038; 39231641]; [35017250; 82174389]; [93641043; 63236136]; [28265378; 27930428]; [90455282; 61044231]; [77261127; 50396907]; [57288800; 5748805]; [25106987; 48909218]; [92605749; 31067286]; [98980429; 97488919]; [98295643; 89276667]; [24526615; 48409760]; [85645090; 54278699]; [72420904; 41071142]; [17324985; 9041255]; [55760577; 95022026]; [20394041; 87601988]; [44926759; 72966390]; [37013505; 7380639]; [54902089; 39680762]; [67505039; 9563678]; [14062455; 95707976]; [65690795; 26630483]; [3708172; 95904833]; [88777288; 30434239]; [18553905; 296672]; [5344375; 42658242]; [63560085; 35180364]; [60890467; 35937876]; [18720841; 82334595]; [74757248; 4194996]; [47820819; 25603337]; [90490385; 67160630]; [9651351; 48270562]; [86179707; 89230411]; [43093407; 66770082]; [27599137; 97691861]; [52720946; 95403875]; [72068344; 46106983]; [72621499; 44287780]; [23256417; 50069749]; [68555349; 68439036]; [19658723; 92144434]; [90545623; 47203912]; [14917388; 97326943]; [23680871; 78404474]; [16211441; 87834890]; [49158133; 35654123]; [21120566; 91441098]; [70814317; 93001159]; [30566721; 27731482]; [36119546; 16399918]; [84088953; 30748688]; [40980482; 68363882]; [73394149; 83869136]; [27589554; 79105670]; [40344310; 24997524]; [34648490; 29406540]; [37460373; 24350661]; [42525215; 62502194]; [56931740; 13967242]; [834089; 46342979]; [53055206; 11082939]; [38161170; 90703532]; [4092058; 37663190]; [99809729; 69770941]; [60739345; 56490070]; [15645413; 68831404]; [39725196; 94663408]; [14254463; 22675678]; [42422453; 22228845]; [23813691; 50831799]; [49812551; 52090810]; [4224023; 64302833]; [19878490; 8724061]; [15274388; 33059724]; [21772981; 29559587]; [19315390; 57268381]; [23216936; 31354336]; [25261473; 89926284]; [46778186; 73293636]; [79497311; 29233905]; [66471480; 76368077]; [83908046; 68065931]; [28738611; 85848220]; [30524724; 69476953]; [6532148; 64102715]; [1012348; 71250503]; [46690470; 11685410]; [75567175; 38293929]; [85540279; 97448213]; [9033063; 96288088]; [2687575; 2713783]; [22496375; 6446346]; [7981238; 18795614]; [13225065; 68543760]; [47808601; 76882903]; [60824103; 8266484]; [6732091; 53069920]; [12219860; 27366522]; [87377065; 55591521]; [34838875; 59301047]; [37252359; 89509839]; [27415820; 75195285]; [66254950; 20616007]; [78269616; 54627841]; [36882178; 18110562]; [5414973; 90142543]; [39614788; 45937499]; [74746165; 22329374]; [20155984; 20603738]; [80690131; 42970564]; [7440118; 60993138]; [90370387; 51481289]; [79175843; 8958780]; [43001483; 55498529]; [10260723; 54521158]; [20559632; 32385955]; [10867666; 41031255]; [85606354; 99336767]; [95448456; 90283816]; [84457873; 10419562]; [97309045; 19694181]; [68070570; 36075860]; [89090092; 41941597]; [78390521; 32275948]; [73007762; 69429680]; [65442170; 76791955]; [37443548; 44971143]; [46856219; 69298129]; [57973613; 73170161]; [60327261; 63668176]; [50938149; 28892862]; [51775347; 95218783]; [28167896; 83490440]; [49660352; 43689362]; [66027351; 51261666]; [69498707; 75922879]; [45807447; 79736477]; [86450644; 96922168]; [51682281; 10436217]; [77388347; 7634577]; [29998281; 49836248]; [25681875; 15726738]; [77693860; 6090787]; [38300792; 74770862]; [14306314; 60752689]; [78804476; 4179030]; [13561824; 44934403]; [96950360; 16250567]; [51924508; 2643716]; [20593114; 53157354]; [4484867; 22029525]; [83942119; 69006449]; [86434189; 51686750]; [53494811; 39233484]; [44326665; 16852910]; [1684537; 31687398]; [19731147; 62819109]; [5898934; 11858876]; [97434326; 66077111]; [49114925; 29212879]; [60754811; 8587938]; [20267461; 37101168]; [49184311; 18864487]; [14408544; 21776258]; [55773749; 67932663]; [40738095; 72849387]; [57848657; 7846180]; [37224112; 85501802]; [16431511; 50642841]; [3425875; 13775206]; [49562331; 10552233]; [78738724; 41646443]; [36173065; 70417549]; [53667931; 86073950]; [86450073; 17221136]; [45014869; 89813676]; [724536; 94381533]; [38454220; 2095543]; [21875911; 56738253]; [5812699; 60488346]; [61518833; 69958171]; [3087981; 74207186]; [69357920; 29892015]; [20123776; 94336526]; [35701068; 7350492]; [11609344; 69829860]; [21941427; 6859767]; [29911405; 6944843]; [49914451; 85710695]; [69707557; 17974861]; [79875421; 82321189]; [44630112; 65668482]; [85658332; 25786907]; [90987157; 13880173]; [63017646; 26815258]; [58906468; 55416930]; [55935486; 53260400]; [92514615; 70499417]; [94731353; 18241933]; [31503446; 84901393]; [59881470; 66579148]; [45427318; 91467525]; [7569955; 88566551]; [27650307; 70860938]; [53681738; 5982808]; [17752195; 78919318]; [41884960; 86017753]; [22678039; 10827916]; [54514323; 2125262]; [78413206; 48436051]; [2188043; 74671948]; [80347159; 30229865]; [33624947; 7884820]; [67018798; 25290832]; [70522832; 37883200]; [26979491; 23129268]; [97323474; 64266030]; [63438120; 52525057]; [21904624; 6987300]; [55471983; 1148062]; [88863226; 90841198]; [34946018; 26290194]; [56990679; 58483358]; [12048443; 39608781]; [374950; 86640562]; [8169341; 99007888]; [87406128; 61004581]; [30647206; 84367754]; [2144833; 507902]; [68001927; 18467522]; [98583327; 45712454]; [75026107; 86003923]; [44418135; 26493046]; [83703650; 59094540]; [16728284; 74997290]; [65927732; 71157301]; [13943497; 9006877]; [6639949; 27836081]; [68156154; 6264525]; [53151604; 76971239]; [71636479; 70046131]; [21028257; 9524515]; [94174650; 26625896]; [26173554; 19948440]; [68904248; 98430664]; [26018316; 84374887]; [93431336; 55224361]; [97596418; 74426823]; [48356364; 46486021]; [68207734; 23529902]; [92235893; 66493937]; [23672811; 62597024]; [68634216; 77567382]; [1468028; 79194781]; [2992373; 40138199]; [59663354; 54615116]; [96668716; 91657349]; [10454179; 88684279]; [81131476; 87803620]; [74107222; 89892819]; [401345; 83425123]; [26878499; 11966128]; [85217229; 29977906]; [33611574; 85673583]; [68327299; 23548479]; [36862631; 49399148]; [54398925; 87938539]; [54654382; 89042779]; [46196496; 43464477]; [46430849; 81935008]; [25927923; 12601061]; [4440721; 61542327]; [88998690; 64730725]; [33275966; 21789709]; [3935986; 83087895]; [46600935; 33416609]; [83812630; 21256825]; [53587536; 48131467]; [18108332; 58545615]; [14227633; 24340445]; [87391402; 41021596]; [92548080; 45511912]; [2229006; 90733819]; [92389480; 56691181]; [67529881; 76701609]; [32261826; 78083433]; [26078760; 21476315]; [58407475; 78565835]; [78153505; 50178402]; [4560037; 69826236]; [25705847; 64342201]; [41090694; 56440321]; [74664828; 68583574]; [71387381; 14163001]; [68354254; 31138627]; [72948308; 66840775]; [11358991; 69781101]; [55363046; 87392303]; [75967229; 58742129]; [92226693; 54386982]; [57196722; 81680584]; [90795503; 56037506]; [9510752; 96465948]; [23338358; 93407860]; [87349487; 46070731]; [31355818; 96040352]; [913269; 73471582]; [23043098; 49020691]; [97182082; 62769124]; [36947772; 34372758]; [710652; 28786832]; [32866949; 59858260]; [19128641; 75916286]; [39071103; 42979087]; [2288961; 58727512]; [75279395; 92928865]; [5490592; 80982696]; [75187476; 73943805]; [56173008; 52963280]; [28667120; 22148477]; [22979149; 64562529]; [79788473; 2063073]; [36398508; 22722358]; [65836898; 34044435]; [57098078; 39976015]; [12012051; 31466560]; [85503857; 62640681]; [1881888; 92651106]; [50627404; 26120518]; [48843251; 68133658]; [26277171; 63776273]; [16280856; 41992408]; [79016153; 76852393]; [27103191; 44423861]; [18064817; 94973966]; [10285184; 73231060]; [63878805; 45228875]; [70260895; 50824016]; [78017762; 35205733]; [52682782; 55125404]; [7710934; 79778067]; [57293835; 1592313]; [48422410; 45934180]; [77941041; 99605590]; [97781396; 76931739]; [72320152; 72150238]; [22194128; 3710884]; [33079121; 47863172]; [48872387; 33940871]; [17918241; 92967906]; [97202580; 66172309]; [32492227; 77265277]; [32333717; 41538404]; [39401669; 8819897]; [45786745; 69686246]; [66386293; 60213934]; [9260514; 80246645]; [16269968; 25787290]; [41315797; 39656126]; [53182305; 66825316]; [39908970; 52605469]; [58868155; 48539396]; [1264544; 15899873]; [44600746; 14934938]; [61111434; 10629866]; [81957439; 92513215]; [34952495; 29060451]; [75757910; 32112830]; [61927917; 22889320]; [63187631; 72438945]; [81069930; 50966078]; [65291205; 44549338]; [36098018; 28550567]; [12848298; 8187609]; [73469753; 7054210]; [62250327; 73652723]; [65948888; 48276082]; [59990562; 34606308]; [95283741; 8620197]; [49954052; 5916633]; [48753870; 37520128]; [39609708; 7039694]; [49910986; 91165290]; [24500094; 27261144]; [85076949; 47079816]; [52675327; 63597245]; [63168405; 87490335]; [20435092; 76725480]; [63815355; 44903913]; [83767060; 84409267]; [64939584; 11295576]; [44911984; 87418818]; [65008014; 69391416]; [78149009; 89969612]; [47524061; 72446977]; [57542332; 51306206]; [26722434; 70760498]; [98259014; 627623]; [81648631; 26456597]; [41523729; 43487599]; [58321338; 6853609]; [31758727; 33010514]; [98155003; 53380930]; [21938493; 86898691]; [98280589; 37019694]; [36631954; 74832759]; [79841801; 99903508]; [87366998; 59227013]; [28406725; 55759953]; [14628863; 62383313]; [19797287; 66579088]; [63798446; 81843806]; [66093637; 77150867]; [87153143; 54427479]; [5386580; 36563276]; [91813427; 91370877]; [80582923; 64281124]; [70868407; 98253701]; [61776598; 4858503]; [36679447; 54249521]; [59149053; 34127292]; [89354407; 78978348]; [56562134; 25633916]; [45537919; 94521267]; [94906475; 76325518]; [33554777; 88589687]; [37703497; 86149122]; [41616614; 98960980]; [21334201; 79797628]; [44367698; 27595070]; [59708470; 74120867]; [29154796; 6600256]; [42402902; 84295170]; [70354364; 88659184]; [87224203; 55199638]; [23538933; 93438195]; [96317598; 84629941]; [43055727; 39199824]; [9014856; 65153644]; [80608084; 90853588]; [13832069; 61357935]; [56198705; 51542895]; [37898170; 88527875]; [11715027; 80433543]; [37033031; 15272328]; [90708406; 98921231]; [11378117; 69418178]; [14015429; 92024114]; [96002332; 19901790]; [26483112; 29814286]; [25383473; 2911216]; [47889628; 54833588]; [5721129; 29864235]; [76188335; 48066679]; [86490661; 83411176]; [35027404; 28690624]; [88208641; 3119573]; [49523389; 23541619]; [39062888; 10352626]; [41973819; 56898957]; [37256875; 76963677]; [1595215; 99523640]; [57092176; 3233776]; [75784222; 82811678]; [86856997; 23822925]; [36612364; 34896544]; [89576188; 55794589]; [32259613; 36437420]; [61342247; 21131055]; [79074549; 27055543]; [65446157; 13760756]; [70222659; 52473739]; [13989684; 8679682]; [28044181; 93141242]; [42098380; 62852698]; [55631849; 83933949]; [5874321; 18714286]; [1284141; 67371176]; [6295538; 65700095]; [7262404; 23041978]; [23440329; 91294488]; [91597224; 56340030]; [6777067; 64982243]; [38553308; 97640742]; [63017918; 27640060]; [18604500; 36973622]; [90323684; 62715144]; [70150420; 1800418]; [41222101; 2477020]; [20468601; 60923749]; [49026844; 39790682]; [42617217; 30201657]; [99967992; 98624249]; [7596469; 95547359]; [44696068; 62899641]; [23179712; 84976525]; [35767417; 97991143]; [4790769; 8585680]; [52509974; 23932932]; [92797340; 77544920]; [76403213; 42061714]; [22533760; 41667320]; [274677; 55898246]; [82107900; 43695506]; [92746259; 41386580]; [67777846; 68072119]; [3150127; 33366946]; [90644942; 22216616]; [69150806; 18496141]; [41954825; 31321147]; [84731752; 46846091]; [45735301; 68554210]; [20641914; 51471787]; [11068066; 48725523]; [64512983; 8316377]; [79780863; 71227179]; [58502380; 14178791]; [81041570; 87297627]; [46018749; 54712429]; [76015671; 7508331]; [46123268; 96989129]; [79500249; 56542861]; [17840372; 65263770]; [48427872; 26112773]; [74210718; 70123200]; [90546515; 72860305]; [86554106; 69963274]; [59832035; 67528374]; [14141433; 85608426]; [21004303; 38136864]; [20401390; 10440619]; [61737957; 74815590]; [64073495; 79280896]; [95304548; 85728972]; [88183912; 52707021]; [20068019; 72746695]; [64690440; 60280111]; [35296292; 67227087]; [56416458; 67135942]; [10667458; 49604960]; [24729031; 47965801]; [76442730; 83629332]; [69656605; 58999491]; [12397380; 71042897]; [84039326; 71818461]; [60672225; 58988286]; [68438723; 41133474]; [12789110; 22082797]; [33591415; 29314527]; [49019384; 73710214]; [22374020; 48654306]; [99736998; 89804561]; [17767210; 5718272]; [16409442; 79104181]; [56042445; 1921158]; [51591684; 84775713]; [60747941; 92754173]; [16684335; 7449955]; [61605064; 62603129]; [65639303; 99203799]; [32567695; 9459022]; [24060841; 48199210]; [94620602; 80603040]; [87006730; 70600326]; [34265171; 76727570]; [29274492; 12389266]; [36034776; 77402962]; [36374605; 15234724]; [58559246; 10741696]; [6704825; 39740902]; [4870976; 98039244]; [84907171; 4997763]; [48142125; 97349168]; [42839994; 94884981]; [15960578; 79696798]; [29509812; 8869887]; [19236567; 81730420]; [42819287; 99714179]; [42561665; 98094919]; [53230299; 46454307]; [61311078; 70554786]; [30758449; 10579963]; [29230502; 75857316]; [88641374; 28136625]; [41530556; 68161416]; [46617172; 53771157]; [90021945; 41041168]; [76147732; 40862508]; [73447559; 55836710]; [66862220; 52240798]; [35203895; 6674250]; [22884638; 15570937]; [24204585; 87269174]; [77026595; 88228365]; [60812177; 65787668]; [84418821; 12499809]; [48144358; 45397989]; [66451983; 75053972]; [50304814; 94548654]; [71283988; 78323858]; [60652330; 46143078]; [96648008; 81529249]; [90186819; 49971128]; [67804323; 10613160]; [5218777; 5206773]; [19564190; 99162881]; [7645612; 46175176]; [55457833; 82322458]; [41893454; 71423513]; [31882679; 92416775]; [45787457; 24877855]; [64161083; 64963879]; [6630229; 54753037]; [88388151; 48694679]; [13108062; 59688390]; [7247395; 81132392]; [57452313; 60920450]; [68904919; 36011558]; [19058715; 60384207]; [72321653; 80724395]; [37226766; 97275571]; [48539583; 30264902]; [28275524; 46809224]; [81692699; 78639173]; [18857036; 18292735]; [67251828; 86977063]; [39472072; 54175604]; [59960851; 79603968]; [36705153; 7573944]; [49922841; 11658494]; [66629498; 94446262]; [33855333; 13538590]; [44122856; 14155604]; [63395394; 47917125]; [34829610; 38226905]; [66474099; 13898831]; [27790781; 4170876]; [42730364; 5336671]; [58406944; 20150266]; [16187444; 5055785]; [91851523; 88689168]; [47614903; 69171155]; [92729114; 28958785]; [13526473; 98134587]; [27297693; 2170613]; [13107548; 82582775]; [42449732; 36985643]; [79380387; 83835332]; [14657007; 71553478]; [40896091; 96389362]; [62217383; 93471354]; [63621815; 68421736]; [78925813; 21297679]; [88741032; 42198385]; [46128684; 64475854]; [47726235; 40001817]; [18489698; 48377730]; [68510639; 21202381]; [4713388; 70368285]; [56152374; 53101998]; [17684914; 14722548]; [76208191; 658046]; [30384449; 6789704]; [18541482; 35616910]; [14311072; 34080864]; [15137525; 29303479]; [59666225; 84237555]; [94752881; 81927641]; [88680896; 74966006]; [69365526; 73739268]; [81602871; 32849665]; [35280587; 86510784]; [124552; 28594916]; [78013482; 92883716]; [45562590; 65987120]; [71104392; 23857301]; [6359028; 59202597]; [69948583; 67682209]; [1997154; 97105450]; [72240025; 86772705]; [46735579; 72076475]; [96874292; 81055754]; [21023790; 61231302]; [17816522; 98238080]; [35907620; 38105945]; [67140322; 39015834]; [24651636; 47494868]; [99970771; 57622503]; [26546598; 29247058]; [21577755; 98209479]; [53724957; 98397932]; [78646732; 24406621]; [22086732; 24338168]; [15433192; 58174800]; [66201426; 63322416]; [34111439; 76366078]; [95081353; 79898459]; [18613510; 78080185]; [92907217; 80421413]; [19607462; 19397576]; [87075065; 73364081]; [11097507; 96818092]; [37841616; 6455894]; [5699326; 29340714]; [25665; 69372149]; [98661054; 82673739]; [64698237; 18486525]; [24961090; 81025488]; [41075542; 86217498]; [434302; 24959788]; [58546814; 93195607]; [67981822; 97368088]; [11943488; 77793221]; [52263400; 87422298]; [6557415; 31916348]; [9563160; 32018825]; [50265604; 8880827]; [42098517; 59735238]; [65610090; 85545616]; [65121789; 24087797]; [12902440; 9094468]; [83108516; 11541252]; [31696257; 63800437]; [21416851; 98451867]; [2505031; 21091309]; [48440359; 81566087]; [12900853; 50635627]; [46826212; 93442969]; [64751723; 8797603]; [51733624; 8393075]; [6327976; 41067628]; [96310770; 53814589]; [45467089; 31441213]; [89558049; 92010112]; [75325071; 68089037]; [16905365; 63711427]; [93936652; 30597921]; [32886635; 7770527]; [19574536; 36619266]; [91291320; 89044315]; [16494551; 75845220]; [81947484; 17474624]; [99760707; 89824044]; [72261610; 64882367]; [29201270; 77185022]; [88700689; 4749913]; [46849144; 91754993]; [3825107; 99589531]; [78208871; 13588662]; [20249384; 41891246]; [40679645; 88956381]; [51091982; 22469471]; [73102230; 15850339]; [21617172; 16487221]; [43224863; 14643057]; [39432434; 56180441]; [37651111; 20987956]; [7843417; 38815588]; [9508332; 54080776]; [10073831; 12855443]; [60596682; 72827163]; [52879180; 74818935]; [39888299; 47303120]; [1581092; 63128227]; [73416021; 43268324]; [68816925; 60441952]; [99158129; 41182997]; [23725265; 3606900]; [61114202; 95138765]; [85370044; 17199192]; [12410746; 57995943]; [61599804; 18734948]; [64978663; 57195839]; [61466648; 88270575]; [53081766; 76555082]; [68439056; 52854915]; [41743047; 73016569]; [47306292; 35715081]; [13509134; 75895914]; [32348759; 71098262]; [92867849; 63826094]; [98491851; 2271684]; [81236532; 20590867]; [53147867; 66396255]; [71401677; 40119906]; [43280618; 86083385]; [82790154; 93252353]; [53617665; 98165934]; [84689625; 16692345]; [70591358; 58990385]; [43287623; 96817161]; [98776873; 64848305]; [71760138; 45271529]; [4631019; 29311985]; [62911835; 58431483]; [21529877; 65127751]; [53011938; 69126380]; [35132658; 41057887]; [51096522; 72385190]; [89809304; 26879674]; [47353996; 10243489]; [80562516; 44247294]; [6828985; 20492743]; [87933049; 24873783]; [72252690; 84377013]; [27535297; 43403605]; [47927341; 13020720]; [81751565; 63812319]; [70856007; 90067266]; [84003383; 27037656]; [88046295; 42974952]; [54554530; 5000300]; [39837542; 63203293]; [96365997; 8221054]; [17665716; 39745766]; [35015426; 23732688]; [48685006; 14361463]; [77855692; 80907390]; [33687763; 14496264]; [35731260; 71955880]; [47807502; 95355305]; [49969042; 84908202]; [96909798; 22176991]; [49936509; 66641386]; [76185821; 91724453]; [15647670; 30641487]; [17516290; 88118010]; [29712214; 86424929]; [80114575; 808630]; [79005473; 71010694]; [30385652; 28795119]; [68019351; 45459938]; [66787015; 18162542]; [28591451; 52138421]; [30237085; 58577696]; [31262249; 1776682]; [85006352; 30198597]; [56542832; 32406406]; [33393072; 14899798]; [39300303; 77688044]; [66035764; 46670876]; [46200452; 60585882]; [60139831; 75306252]; [31224681; 17087606]; [23411896; 64116376]; [48887240; 54137191]; [9889469; 11179491]; [79002942; 94704658]; [70400171; 88000674]; [4120159; 65716805]; [18889280; 82944594]; [59771249; 58866284]; [21255487; 56411721]; [97021767; 45329523]; [72931190; 13476410]; [87211094; 12578618]; [53511758; 24894626]; [97841850; 96866023]; [26424470; 45640044]; [17707478; 67318054]; [75263731; 1161214]; [49101588; 41015473]; [30040595; 21420441]; [37732788; 27812687]; [48150071; 13032240]; [99920122; 887996]; [53620848; 81620872]; [42812254; 62518719]; [9580694; 43904298]; [12478455; 26899534]; [32473272; 61257999]; [57918594; 47423910]; [83941552; 26514382]; [57515433; 56992438]; [79866500; 96546866]; [99451387; 8688198]; [18297725; 58815244]; [2515996; 61806013]; [23280712; 67008222]; [25915969; 52360100]; [48624742; 41575700]; [42032320; 97231380]; [76348324; 59751793]; [8185845; 99521383]; [22463774; 68749860]; [45376561; 84440116]; [84392886; 60593752]; [60566739; 65472059]; [4490872; 46456959]; [91000460; 12488563]; [19448158; 47904157]; [99517623; 19294158]; [25126504; 92810352]; [70393309; 89418141]; [92883812; 9335372]; [89105197; 12515482]; [19869040; 15302527]; [52163069; 38247063]; [45107218; 32713177]; [64262073; 28811723]; [98852797; 98962871]; [71007130; 66223833]; [23894529; 45217786]; [10422689; 68401942]; [51484096; 93671163]; [59566654; 93607481]; [11239798; 62357188]; [34938661; 6211412]; [35693489; 51918682]; [18690672; 66050871]; [21354843; 57398941]; [22680337; 25202659]; [60747707; 90102993]; [79037470; 15113904]; [79134975; 13651810]; [15858054; 84443473]; [82251197; 52595210]; [40841605; 74675894]; [22186123; 43766903]; [7375880; 36647296]; [18997866; 25043114]; [83757301; 95829344]; [54804141; 50745162]; [9462949; 60988282]; [42264314; 8624847]; [38834669; 76268736]; [87579634; 16968881]; [80075345; 93165151]; [54859368; 95455292]; [84186331; 42449495]; [9821855; 8906780]; [19938844; 32141217]; [13954662; 52540224]; [36621785; 21131459]; [15898768; 16301369]; [76372497; 74126847]; [97206813; 27996048]; [57191682; 68835591]; [797820; 95554272]; [19877998; 18011983]; [77458323; 10877368]; [98277266; 29049276]; [90852932; 74818259]; [25919465; 21081289]; [44486492; 86487265]; [12790701; 78249742]; [8939571; 54272301]; [77557911; 77546149]; [41621094; 39089173]; [84266366; 17601773]; [25778600; 11312178]; [19774551; 38362636]; [63943224; 82559933]; [11508302; 14882698]; [60711188; 64935721]; [49665354; 29681334]; [82583493; 49801140]; [82502891; 81616101]; [71557515; 83799021]; [58700848; 43119565]; [96739028; 25011093]; [19589132; 66227661]; [85435226; 24692977]; [93838178; 65123392]; [96711826; 23613525]; [15581552; 50843827]; [16653187; 15735481]; [40999774; 79930943]; [32506123; 19295476]; [36702604; 67724335]; [58091507; 23780063]; [87891434; 22340257]; [72667543; 88817191]; [42668086; 56043849]; [95378348; 13937225]; [2094972; 33121999]; [41054899; 58695363]; [14379202; 5236996]; [97395987; 90013859]; [44545495; 15145665]; [18983028; 627592]; [39597571; 87781588]; [43649771; 21894358]; [49865250; 49260113]; [66213623; 7078221]; [89423043; 99091705]; [79580060; 89967962]; [38750510; 93093706]; [94164511; 37432171]; [50919641; 58529636]; [62732019; 78810300]; [94585505; 90440575]; [40139780; 84161613]; [93189075; 55984873]; [53710739; 65380664]; [57613007; 9267894]; [58039852; 34757318]; [11874051; 31640348]; [58501901; 2064830]; [97890235; 77916957]; [77505954; 99447403]; [58832082; 65319425]; [85073314; 11038523]; [60552226; 93119245]; [14027072; 83473824]; [66521469; 2484192]; [24433678; 53420620]; [82338736; 26572368]; [20879300; 86359260]; [44711687; 15783714]; [51916525; 31927218]; [90475469; 73908611]; [96143441; 44316245]; [79039204; 7140428]; [80030216; 89634112]; [64053572; 71153873]; [7395154; 69411655]; [25805797; 8048602]; [13981360; 72471248]; [23028041; 68249156]; [18309037; 72078632]; [22395033; 66884387]; [84028583; 92158755]; [28376563; 56139584]; [87284577; 25118675]; [14365911; 54227713]; [77380838; 5648145]; [75472290; 12646158]; [14242640; 61328045]; [70709557; 4497586]; [84834837; 1465225]; [10963926; 95004819]; [82634514; 85802498]; [22518170; 41536524]; [29818921; 90252604]; [28065362; 68065076]; [34612574; 62846807]; [93644072; 37105206]; [92103679; 28118739]; [60732146; 78591087]; [73525839; 29011924]; [55256923; 90875668]; [3303620; 4719849]; [16756391; 65822649]; [73506179; 85056418]; [88386619; 45209964]; [70301921; 18881117]; [3239348; 56223896]; [28748133; 82519200]; [77651395; 39087260]; [4246369; 8692353]; [81155215; 9519497]; [75748642; 27833584]; [96536517; 40387144]; [70820471; 8362563]; [1062070; 86504792]; [81803547; 55775136]; [41589470; 62089465]; [5938970; 68177278]; [30875484; 94633182]; [75690554; 38604262]; [57261358; 40108306]; [82169270; 99973912]; [21707923; 31466661]; [89352345; 18732147]; [6014053; 80654946]; [81473940; 24538117]; [88832694; 1030873]; [27987851; 51197956]; [42428546; 95227252]; [26138035; 19971608]; [18046825; 64133434]; [47609032; 33799942]; [62593671; 93407317]; [79438720; 93187091]; [48882266; 85497027]; [90660684; 37894381]; [23292517; 24128284]; [4463210; 51400099]; [33116000; 26360631]; [33205167; 20721439]; [19219307; 42677974]; [86041621; 19294390]; [84225535; 20824864]; [19479915; 93593230]; [99729339; 91133297]; [51043101; 62648843]; [23825880; 5857074]; [48556068; 26860415]; [19937619; 24689462]; [31194560; 47884476]; [86844015; 66027952]; [25779658; 19233671]; [64234497; 2793796]; [99941021; 44886832]; [24812397; 65169214]; [18982550; 84191838]; [43095346; 37790636]; [63640856; 87033824]; [6385322; 33944184]; [12716933; 22953496]; [43264324; 1891619]; [96886273; 39581893]; [46203895; 74406894]; [56703042; 63637749]; [39804200; 43514487]; [99394108; 74458428]; [72478839; 39068036]; [45319019; 70946318]; [18660842; 84139870]; [76022691; 98107039]; [98396191; 6033844]; [46607361; 60476810]; [82404135; 16420299]; [10487335; 93519419]; [63770571; 77825163]; [93287910; 58812132]; [27107261; 61816238]; [77521763; 14023811]; [53132869; 85769166]; [5077389; 89708112]; [21580967; 91115334]; [22852096; 18080604]; [36455853; 52797801]; [81055650; 17046589]; [72246002; 67992848]; [84574601; 25157573]; [88362205; 38460905]; [59832554; 74207570]; [7662505; 84540421]; [71551816; 64088190]; [40445269; 66702116]; [54136609; 21006174]; [10817593; 24030013]; [4567176; 51722010]; [60254485; 46003500]; [348197; 57885590]; [8369156; 2690377]; [90049055; 72051901]; [50527536; 56742879]; [63871975; 41109615]; [8127342; 45148300]; [74516026; 78759306]; [36713321; 44798389]; [56915336; 91377639]; [57940368; 17419206]; [41029044; 15617049]; [37389249; 90997450]; [86558574; 71763296]; [64499567; 4861131]; [36012644; 57039901]; [66219263; 69671071]; [74935713; 62804217]; [88060489; 23174071]; [97768525; 14491903]; [53382513; 46515082]; [73169563; 52013700]; [87417089; 30282698]; [98783211; 30663325]; [27625158; 79895313]; [13267420; 92779946]; [43644021; 87056719]; [34211734; 16649958]; [36285904; 37575998]; [47936742; 33463084]; [95732341; 66679050]; [21182911; 43432889]; [8873425; 89266528]; [17604013; 20438915]; [61175943; 19692705]; [6212068; 69008150]; [6179604; 84699750]; [51778764; 25539090]; [92553736; 15731758]; [8266810; 83862448]; [89872504; 78979827]; [8098452; 58423471]; [46080204; 17801262]; [48662708; 98567835]; [80832070; 17177264]; [65233883; 61001344]; [84656002; 86429881]; [36172281; 90683401]; [29444688; 50223611]; [98922909; 34304510]; [57475465; 54586799]; [8271697; 31364401]; [95816435; 64055092]; [8678726; 2148686]; [2423819; 82972321]; [58630177; 1564591]; [14980456; 73819830]; [2481407; 7762533]; [36032294; 19218577]; [76428241; 4043146]; [80560888; 35067082]; [13849644; 61263756]; [23565644; 41950637]; [76044912; 87381740]; [72284080; 75838619]; [99107791; 7260871]; [99746154; 49902765]; [89128811; 52210110]; [41689413; 16151787]; [77287923; 88948859]; [65500376; 59614144]; [21930865; 97351619]; [77523614; 66026849]; [93689513; 21699374]; [50373248; 56690208]; [53386189; 87628833]; [37597755; 91926336]; [34367543; 56739291]; [88868314; 66951222]; [70702346; 87190297]; [962035; 45428736]; [93754991; 13014535]; [24246123; 29729013]; [4265377; 77905949]; [61385602; 84665263]; [59156304; 21752779]; [62870116; 35939694]; [21124754; 15336158]; [82182827; 74316871]; [45353107; 16098253]; [71412025; 46874220]; [18906761; 52162496]; [33391349; 85429760]; [77152336; 95682662]; [22600368; 6288990]; [81982613; 76117372]; [85473532; 33241575]; [65437520; 32865191]; [93977103; 50047212]; [3686449; 4913894]; [75745877; 46660854]; [52569117; 169472]; [79329636; 23652585]; [24044137; 64043120]; [83116308; 17388356]; [52767019; 34051188]; [92410889; 26928327]; [50996234; 35760468]; [20093658; 47501282]; [33163619; 28076749]; [78360497; 91286993]; [2586196; 15634659]; [94344586; 32397028]; [5380012; 59820710]; [31913705; 69497046]; [68990014; 72112074]; [88624964; 70425581]; [1444481; 68134113]; [35393244; 29965307]; [50082200; 23908432]; [10780431; 84531814]; [18803974; 29454261]; [1016425; 7101750]; [34273259; 81336247]; [48403479; 71033119]; [14016679; 45498373]; [96159222; 15787165]; [76099888; 5780400]; [46382211; 39854399]; [83946552; 61310023]; [87593671; 2890543]; [64700348; 65945811]; [78762344; 98248066]; [44050273; 57406468]; [41383902; 52168914]; [74883986; 34719279]; [95796633; 34254185]; [41664503; 83067219]; [91427906; 64178219]; [22060132; 24630179]; [41616444; 66095771]; [67766002; 85893161]; [10890761; 87376771]; [41736991; 80437925]; [6176950; 90827312]; [45108650; 7055937]; [17591814; 73897234]; [83314184; 20751584]; [26235295; 31322060]; [39470489; 84769141]; [97089342; 86133197]; [54478986; 60671999]; [38249833; 28227583]; [45822044; 40624883]; [55319287; 38854578]; [39088408; 46532672]; [74507962; 49549033]; [56404522; 53085383]; [26708632; 3718827]; [89623895; 24411898]; [41703825; 65787292]; [70851421; 67455388]; [7412474; 57873320]; [64569623; 13996084]; [69422128; 70362451]; [86987874; 55086514]; [56037088; 79660541]; [27773711; 19198918]; [7586883; 27559543]; [15061330; 53126018]; [14913410; 23946446]; [36833184; 5536337]; [57822993; 93344050]; [86760836; 64393125]; [70075591; 40334941]; [62924859; 48957359]; [97114474; 76627219]; [18651414; 20804507]; [21679764; 47483230]; [11776785; 58784072]; [85866629; 1137311]; [7709269; 49037423]; [32120578; 96673052]; [82124616; 81065223]; [1418886; 46119738]; [78510222; 27599084]; [70596987; 83568319]; [58188443; 24429750]; [36136463; 45045256]; [72783127; 20803081]; [21696699; 30222786]; [40046327; 13448694]; [87407381; 109561]; [73115174; 47278410]; [90361521; 7846353]; [91996042; 87525626]; [13410919; 15604607]; [65128890; 93903586]; [58486521; 248253]; [17391068; 3721263]; [78948187; 91017666]; [43212349; 85572057]; [56023156; 35851041]; [1320824; 51746854]; [97417624; 16539827]; [76622563; 67281719]; [82330021; 31765227]; [69545104; 59798227]; [39402039; 41264252]; [26951879; 29385502]; [64158834; 61196734]; [9271074; 45906857]; [97519099; 61885972]; [93470150; 68440452]; [55579050; 55757495]; [72755292; 97475637]; [81650857; 60227881]; [6665407; 61586605]; [25206084; 21943262]; [98024485; 8505623]; [42649754; 56533778]; [89186172; 10039298]; [1745042; 12741705]; [19642881; 47306768]; [84020941; 92077977]; [16020891; 89391276]; [9657478; 76684971]; [9900144; 19514017]; [62686399; 10831030]; [73600574; 94629520]; [72409758; 4079550]; [23580304; 82347506]; [53007936; 51446216]; [17412506; 2085799]; [79895904; 13472917]; [25007122; 56180489]; [23560912; 13428679]; [67724529; 53564424]; [10526934; 12719006]; [67250360; 15539509]; [39382125; 32207829]; [72621811; 88762511]; [50332512; 4276637]; [2678170; 90262702]; [68560579; 26086943]; [37324553; 51729929]; [54690935; 25076401]; [14936878; 6186193]; [62316371; 36689625]; [33923319; 1709278]; [84088636; 23179642]; [68280483; 26912539]; [81006996; 10156055]; [17727504; 80680265]; [35102926; 14523718]; [23160012; 84110663]; [17678355; 20354665]; [42064976; 69462094]; [84324447; 28706471]; [39423547; 47975105]; [61489343; 52355371]; [74945365; 40412026]; [47536703; 32228657]; [63538836; 56901346]; [76614096; 35219000]; [14103009; 46633590]; [88820108; 91231930]; [82117371; 74880399]; [65591706; 81096670]; [62343542; 48006426]; [69339626; 36118621]; [57618947; 25206707]; [4962633; 40410326]; [14672426; 53559593]; [54153730; 55679442]; [24993209; 85976332]; [83411572; 54834205]; [2357381; 20304255]; [99867174; 34834665]; [23763385; 57863374]; [29060808; 39390384]; [26848266; 14950343]; [84588701; 70586690]; [330412; 28859117]; [21248309; 48392864]; [4807875; 15104134]; [54522521; 20625890]; [37805205; 7776957]; [76403437; 79758880]; [92342627; 26243828]; [62488717; 44695507]; [35540259; 1690841]; [2551508; 95627762]; [36563265; 76194401]; [36364174; 71038245]; [48358561; 94300161]; [5082028; 19930513]; [56608383; 12961721]; [14644424; 71100037]; [25615679; 10408351]; [67787703; 95808109]; [12602094; 25416986]; [87235813; 57754986]; [47060791; 34574456]; [97207431; 41376064]; [38763548; 46342409]; [7422121; 46030803]; [23337032; 89306553]; [88481936; 41861056]; [13560972; 67922110]; [33259332; 45480765]; [42179658; 65785205]; [23073352; 9000032]; [23584668; 62308430]; [40130455; 67656741]; [27002378; 60833014]; [36016086; 72050712]; [85154347; 9624242]; [27753952; 71971674]; [11924457; 47353043]; [38582780; 74224488]; [8750955; 67155967]; [32611174; 19212724]; [57518769; 14507073]; [78564062; 84607674]; [37856340; 89917727]; [80396012; 95599845]; [45097089; 26124763]; [66081589; 72929025]; [53584838; 37461251]; [78221690; 18066415]; [90000200; 9430336]; [37457370; 64326879]; [61138648; 26473434]; [14997200; 82646896]; [12919898; 67915160]; [56401332; 63527321]; [76499416; 18746317]; [90365630; 62312787]; [67606214; 49899018]; [63213096; 20422687]; [32029937; 29995895]; [46761293; 47162494]; [78731907; 70927770]; [23891467; 57848681]; [63459871; 47048166]; [92331713; 24612142]; [78573706; 93684997]; [20324376; 14835930]; [90208875; 54487567]; [6365403; 71366640]; [91675933; 49900289]; [50036782; 2772396]; [59951; 82909548]; [73538938; 50786829]; [65735669; 23307760]; [10953497; 81228975]; [97794720; 20862644]; [53555324; 74809531]; [88897082; 17787401]; [68313978; 5830103]; [3233068; 94125566]; [93846585; 82671824]; [54956793; 36086745]; [61865713; 55550674]; [58762079; 97922537]; [88096274; 55447590]; [59175667; 49605038]; [42094267; 48096215]; [39349192; 45436534]; [46968790; 50476384]; [62459579; 42223282]; [91606187; 81671478]; [93657318; 22129448]; [29314284; 86962652]; [40964105; 11025604]; [1868746; 33273730]; [32534201; 10292002]; [8104214; 84534028]; [53043127; 18875089]; [67110730; 72361225]; [29157116; 7079212]; [25892268; 54022917]; [41108982; 14185411]; [18329179; 23027692]; [16307955; 40227187]; [89942883; 37215410]; [10828808; 41840635]; [19435750; 53034065]; [52422419; 2081566]; [9626278; 96216601]; [48182026; 59063380]; [82569622; 64451706]; [61481853; 22826913]; [75446218; 16894504]; [87360326; 89252635]; [4067283; 71602693]; [17736549; 57512239]; [86906435; 23488311]; [50463872; 41039309]; [18316922; 36404896]; [96243851; 71803427]; [34872804; 63600572]; [51478853; 27657365]; [23644129; 95722744]; [51410728; 17796074]; [66962192; 46478803]; [14733162; 91116118]; [18829816; 97492296]; [22563496; 83399050]; [17294440; 26027315]; [62863656; 85329547]; [88037640; 4544524]; [80335977; 40267517]; [84380111; 70281923]; [11356013; 42159286]; [41265718; 86807495]; [94619191; 81684485]; [98710547; 36666992]; [24869597; 79363621]; [18618827; 73441826]; [57923848; 24509700]; [69939523; 41356152]; [78685259; 68637570]; [94669932; 87035238]; [85249913; 5383199]; [56071424; 99546398]; [76848507; 83397576]; [22208939; 11979492]; [3483558; 8986981]; [4997327; 11952532]; [62975441; 99658723]; [70833103; 766744]; [68315048; 36194373]; [34212510; 7889995]; [62293582; 24321839]; [11508327; 64685358]; [90300369; 15641036]; [6653904; 429259]; [56475509; 78670793]; [88223899; 39044389]; [29424979; 66540106]; [70417556; 20706576]; [5271233; 71519675]; [70353358; 83119223]; [71115869; 34650100]; [34888546; 2471827]; [5821229; 57451364]; [97973786; 82213441]; [88887061; 6714534]; [63838417; 2259160]; [50513765; 19824730]; [50237078; 38640038]; [98418646; 47997811]; [36743935; 16252234]; [6749523; 44032611]; [59040823; 15604863]; [76407765; 61312977]; [22153660; 11535210]; [80387163; 315199]; [8268365; 61647330]; [5869829; 45171636]; [63631215; 57835260]; [79666486; 39593960]; [8441103; 53556978]; [91809047; 33483027]; [58199331; 38830268]; [26135156; 70941048]; [23075380; 10213633]; [50713986; 67803832]; [29122655; 44392730]; [73892140; 24715990]; [53726689; 75484110]; [1543902; 34561373]; [75222763; 5620311]; [51917254; 17679273]; [73158961; 21000598]; [13400891; 82708600]; [13700717; 30957512]; [47980699; 24167091]; [20925595; 88260988]; [82522212; 21613117]; [19861425; 29237510]; [28245598; 90849832]; [4083487; 81281924]; [99802587; 12770524]; [83747162; 70352749]; [22929884; 89760842]; [15235668; 35210547]; [57451997; 89132548]; [30382004; 39702123]; [9452481; 37280027]; [26077023; 16012643]; [33893947; 11206736]; [58591753; 64940789]; [87686150; 12005813]; [97123883; 41141856]; [10624529; 35004512]; [40437417; 12989289]; [85360254; 35064033]; [31015551; 12077727]; [64859201; 26278850]; [762195; 15716134]; [9923278; 81746832]; [83093776; 47571569]; [37971284; 98218366]; [14881874; 99778414]; [23402023; 21210841]; [74898896; 92809478]; [46489116; 12425398]; [8412508; 34817231]; [10008703; 74498780]; [50621360; 65272665]; [64731133; 43296993]; [11951409; 63227576]; [62325884; 85221859]; [8951739; 9827812]; [19490115; 62159879]; [13600454; 26875241]; [55122189; 89627047]; [21852537; 5141132]; [12869826; 92363908]; [5766406; 14897326]; [75395794; 28489350]; [7745006; 48468699]; [17507157; 90699530]; [68026674; 86187284]; [9758481; 65277520]; [65246316; 36568116]; [89580123; 46679437]; [92719532; 65783651]; [66561255; 6570471]; [72953708; 30921190]; [20133480; 22338796]; [79281492; 2231446]; [13130059; 9974343]; [25099461; 22870093]; [74325350; 34951485]; [74607421; 48571092]; [3046519; 25229719]; [65689420; 50703617]; [5047693; 68682330]; [64318698; 87762361]; [72747700; 95809370]; [92785747; 88701147]; [70881685; 30937399]; [11077069; 15731861]; [14148959; 30895457]; [6449186; 11697771]; [33789584; 24166213]; [37640633; 6100094]; [46271812; 94341639]; [1871540; 70195334]; [43423263; 3199057]; [8945507; 71613508]; [38041235; 37646434]; [64272233; 32432234]; [44747628; 4828722]; [15403648; 65342336]; [60735464; 62151290]; [61972449; 85889567]; [6722550; 39616245]; [13473398; 55576742]; [7463459; 15915840]; [58170072; 28004612]; [85631427; 53139674]; [17815503; 50858392]; [92762824; 74899540]; [4546111; 5913874]; [92946847; 85028923]; [44016460; 28012912]; [18890288; 41016610]; [14847181; 43630444]; [16298586; 67154561]; [55263718; 3054818]; [83584504; 45927915]; [33582187; 31512098]; [54267909; 12146211]; [56245587; 2941832]; [35783447; 75151084]; [4172400; 40663531]; [60593222; 70456535]; [95758338; 90558481]; [37679972; 90290095]; [49464422; 6881647]; [71001334; 33812745]; [80874507; 51823368]; [14570540; 51199659]; [49816736; 21241904]; [2183353; 18893120]; [37692623; 45337124]; [36145685; 82170811]; [38789690; 28394821]; [66010635; 81347889]; [91063357; 49621249]; [66674610; 22642442]; [9394310; 91314355]; [45620664; 89653404]; [20978514; 31665715]; [49363865; 593145]; [39454112; 19695300]; [38736426; 14131496]; [11906882; 92723259]; [30174237; 18326659]; [7574342; 17988796]; [29659933; 42783210]; [40708953; 27724245]; [29446836; 26107482]; [11886769; 84290814]; [78850523; 56330186]; [48428734; 53961486]; [23532603; 27926077]; [70456476; 87273744]; [11069368; 32011656]; [69445877; 40272836]; [34561480; 23730557]; [65779753; 36804519]; [97263497; 31617306]; [77954462; 64773136]; [31776983; 46184293]; [95069364; 96226396]; [435019; 62802701]; [57226697; 47582345]; [37954972; 58872504]; [60350901; 70726188]; [29783226; 65587782]; [48647322; 52655636]; [61121054; 31614095]; [10003969; 44655533]; [92851016; 47419489]; [65803288; 66748116]; [89357377; 7811204]; [97667102; 62240495]; [43391500; 18925]; [2883440; 33718270]; [77964342; 70160329]; [81070501; 87625824]; [84202062; 75247673]; [93036659; 44523455]; [97920963; 99396755]; [83035648; 16296063]; [94756898; 61962785]; [298143; 58760598]; [76227644; 32177294]; [54002461; 56714045]; [91976420; 96865664]; [67022502; 4781924]; [11637455; 8149689]; [56753212; 63533110]; [48345073; 2946444]; [50115382; 64044597]; [64462834; 89032894]; [81169935; 12511990]; [77807240; 39211332]; [73340693; 33648961]; [17000782; 27052648]; [62394639; 21483340]; [38662608; 43885537]; [56238111; 79450202]; [95106267; 53486791]; [41206779; 35081856]; [43586009; 32281115]; [46817006; 58149578]; [95503919; 62963352]; [14672765; 27203628]; [42406160; 66009571]; [85261059; 66392805]; [79120378; 38299603]; [17660474; 56150946]; [16871379; 58589148]; [56458039; 8437835]; [87559160; 17972562]; [8683995; 28518935]; [85445853; 7273125]; [51873089; 99922759]; [16008635; 75649629]; [10673692; 64000367]; [62230187; 44766356]; [16066464; 35565305]; [78741477; 5578693]; [48280444; 68235717]; [79117004; 70955988]; [14251043; 44861634]; [12476552; 6032378]; [45668731; 51422766]; [30023445; 78891726]; [77964663; 89432467]; [33764879; 43361061]; [80794230; 21260507]; [7602272; 3995355]; [58564411; 82413200]; [54845951; 15223079]; [26578079; 21692439]; [22548911; 68932350]; [4311855; 32643991]; [12628061; 33783808]; [8465985; 80712798]; [50831969; 59394602]; [25463356; 86843095]; [47718; 9512782]; [70535714; 16063904]; [16001858; 50610398]; [11768468; 10560151]; [36285136; 78354664]; [21764646; 16580881]; [57533990; 8741025]; [1549887; 68672826]; [15210677; 9301476]; [54422342; 58805524]; [56049003; 70256739]; [12493478; 57604484]; [45561032; 89350108]; [44610093; 34282170]; [84776606; 68619229]; [50436415; 46143971]; [5782466; 22602638]; [60892022; 15236523]; [73332542; 95921109]; [98658855; 19672222]; [81989418; 82753455]; [34192411; 71056272]; [68023593; 47345949]; [58766611; 96844921]; [66909470; 79550294]; [49021958; 28419120]; [19863135; 78294385]; [3683437; 94286608]; [15153492; 1256471]; [14283866; 3820543]; [92542627; 90479234]; [63014533; 52855328]; [67213815; 46476047]; [48362101; 3187385]; [52177824; 12992615]; [43997870; 52811273]; [71196250; 91178127]; [99088857; 17122803]; [30492014; 92626702]; [94440536; 56460546]; [10250084; 10026784]; [33615958; 76524615]; [4249395; 64860578]; [10575712; 55174748]; [35703028; 45677107]; [92888811; 1708732]; [51206296; 66421842]; [77386665; 14503063]; [60792223; 45942251]; [85925240; 87358385]; [63515429; 46275794]; [58805040; 40436266]; [13804358; 9160978]; [5231980; 32932707]; [9495188; 68116842]; [15333793; 15588191]; [80155509; 51629138]; [47143221; 89983285]; [34139398; 83995567]; [7129968; 49968558]; [15954891; 82803244]; [32367312; 57972595]; [80005772; 80155617]; [22351196; 86209209]; [42954174; 46839069]; [26493371; 56406091]; [17468952; 51951291]; [42960625; 94537420]; [13341717; 63108491]; [73662668; 4966498]; [82024559; 508930]; [18757992; 5243974]; [93970557; 90811696]; [22013314; 87493655]; [50070565; 13976088]; [3762354; 24596704]; [83907728; 84286372]; [72138348; 84287486]; [6608175; 70094510]; [81389801; 77390600]; [76248319; 82189784]; [14147536; 24327788]; [17561890; 92756267]; [41225481; 75516180]; [2646278; 44133547]; [52819414; 83591339]; [71807322; 64093326]; [69267397; 50024091]; [84996836; 27923348]; [99301216; 79395172]; [88418951; 86529487]; [792208; 59755062]; [89396388; 23058498]; [72178989; 39496701]; [82002909; 50678863]; [87638208; 84586032]; [44738357; 53171803]; [39534731; 67458253]; [54802570; 13462931]; [88739142; 99728222]; [53201923; 40075184]; [73661902; 18555848]; [68642559; 40468555]; [67074861; 20390982]; [28637273; 37855804]; [69345745; 56986946]; [69665867; 18661045]; [68555721; 73794262]; [65756394; 53325695]; [63099423; 81270026]; [77466807; 32161383]; [98338124; 61603478]; [862021; 48262073]; [32108799; 70031113]; [47343311; 85744490]; [56806078; 76968599]; [38475607; 35520139]; [99194628; 89910760]; [78110499; 84291161]; [33056351; 63983838]; [72201825; 17820330]; [26141346; 12912130]; [49143726; 34243845]; [33954640; 27382281]; [29932118; 40948949]; [97012282; 64683911]; [28433826; 4952279]; [78106545; 18518194]; [56084313; 28380527]; [28279294; 52968577]; [79229781; 84917087]; [38441995; 37056793]; [78408655; 52483788]; [17804247; 27056123]; [96229185; 89190170]; [35552489; 6086309]; [39447322; 98435900]; [60229493; 23454823]; [23258311; 39556322]; [34059419; 72616969]; [87213069; 41760646]; [21936231; 60792030]; [22193123; 79799685]; [49922448; 25164443]; [557470; 41088076]; [74652422; 27462052]; [47450358; 6240271]; [74233003; 34633183]; [56597480; 96899721]; [33778587; 34123883]; [27260189; 19352460]; [1608686; 11182451]; [35474263; 27325546]; [17950560; 55837012]; [14786338; 64345811]; [21024394; 82072190]; [70404976; 29682913]; [98318989; 68392945]; [5784379; 7541318]; [57902418; 47360036]; [85175231; 15233022]; [23244058; 95357051]; [85687952; 18979841]; [66472501; 67485904]; [43953723; 46449089]; [5440094; 7966191]; [2348587; 29577273]; [4687262; 14959795]; [77715210; 79549931]; [43281145; 78452658]; [70077164; 17487396]; [2006943; 90260972]; [24927705; 8929350]; [36354943; 64654238]; [38523701; 50439237]; [67683526; 19846857]; [85705160; 92896958]; [71019903; 33928204]; [2840241; 67322765]; [19138371; 45122256]; [89038057; 61817817]; [55556382; 88016153]; [77834341; 37486637]; [96199336; 86333567]; [80467049; 75310545]; [19751547; 61949326]; [24783777; 32910631]; [62427085; 28708825]; [78266910; 46790072]; [60106595; 66104834]; [75316116; 44904440]; [94403899; 96128541]; [79778873; 76218891]; [1415605; 78638449]; [14839973; 76830460]; [75543200; 86760011]; [96998971; 35752613]; [67937694; 31839969]; [29007350; 48702538]; [28264111; 83997534]; [70015477; 65433970]; [93748331; 76657502]; [41496241; 31248130]; [74109237; 94010900]; [4491401; 49952176]; [95098366; 71688567]; [48487828; 76211281]; [39379938; 31870249]; [61034251; 78591442]; [55772910; 11888748]; [428054; 16229557]; [9691928; 13702816]; [11795840; 23062847]; [46627799; 91857663]; [17213670; 71714082]; [27592077; 34278735]; [25697811; 24281475]; [96598262; 87043357]; [71370761; 75466124]; [22441006; 11619983]; [18593395; 98096037]; [68423417; 76375244]; [69716847; 23162832]; [18064688; 22835875]; [74626795; 80429951]; [86281842; 28963239]; [34152871; 22833016]; [40787343; 52603579]; [31455122; 50117822]; [58829487; 11262235]; [38596942; 35713021]; [7334691; 90742537]; [48524255; 65622072]; [14495774; 36766657]; [76591430; 54036590]; [22379711; 91873478]; [26156143; 29868050]; [38312271; 77488816]; [32320660; 35962929]; [96445939; 42440590]; [70855178; 36044584]; [63118014; 29282071]; [97519827; 11569305]; [56936126; 60303894]; [35151039; 70970600]; [63322037; 4730202]; [51631758; 58306619]; [98788110; 9624215]; [9085166; 66817707]; [8039295; 4667598]; [34390900; 79634198]; [59992090; 12479634]; [75668819; 62148289]; [26278039; 8737336]; [86219904; 45679567]; [31474418; 36651900]; [4976700; 14997668]; [56847011; 93819053]; [26768272; 56785844]; [41074001; 3309968]; [59321320; 83720094]; [7395021; 27048980]; [65650501; 77004440]; [72599158; 93180021]; [20314368; 73482101]; [43411651; 27119435]; [59854602; 25948152]; [32380510; 16189691]; [69398284; 88351422]; [50274640; 67192779]; [50424137; 57713447]; [234828; 33420342]; [23327472; 74179928]; [87130658; 41939702]; [5305754; 25536087]; [55923811; 86499079]; [41072158; 66756321]; [7593951; 17520392]; [8031554; 62786198]; [78002082; 63798605]; [3817957; 12361157]; [17662333; 23043833]; [66167732; 32043993]; [85897067; 71779120]; [38621530; 15350377]; [60209939; 46110647]; [36429113; 65988577]; [61556663; 73248626]; [29007220; 70508566]; [37230419; 85576563]; [27669666; 57009483]; [13703294; 83333695]; [21256653; 72765199]; [45406393; 76436221]; [73074385; 1950038]; [44434980; 79133764]; [28054204; 8837004]; [90808159; 88293282]; [15565327; 41220716]; [62792670; 40747192]; [75174408; 9938870]; [93485099; 19313596]; [80482283; 77423427]; [21433253; 15819346]; [67019526; 5408653]; [68207066; 38490524]; [81712651; 66370208]; [59941201; 52525910]; [75433846; 68944404]; [29212763; 20698482]; [43338389; 40767632]; [33742159; 30048949]; [29032430; 58552782]; [91616361; 86566572]; [4166552; 99454555]; [68420046; 88313331]; [45128955; 10640869]; [73947260; 740458]; [69988216; 69304645]; [38434895; 67915744]; [68935746; 36722403]; [18950745; 94654935]; [88380400; 25284311]; [18795593; 10690943]; [1622959; 90643383]; [91488503; 25312769]; [50599736; 34851293]; [31254589; 11373944]; [60395993; 74855253]; [26345789; 44691005]; [98137496; 97985311]; [67167074; 52245910]; [68663340; 95174454]; [19058484; 41768302]; [24862232; 63001186]; [83983834; 71465073]; [90549679; 5237227]; [35216981; 79298522]; [9013825; 93100244]; [33316363; 60473440]; [26205653; 62877021]; [35239276; 48335772]; [47268323; 1648647]; [94716049; 16818614]; [65943574; 88520806]; [58975204; 56732868]; [43698517; 28656721]; [18270324; 41831486]; [81077832; 77615040]; [55253531; 2447033]; [88091347; 17407145]; [52891956; 39757592]; [7887844; 90741822]; [98405403; 81123949]; [16578301; 69731127]; [86553710; 81812914]; [98169261; 73097948]; [36903490; 32246385]; [73959251; 56317626]; [99880711; 88078577]; [5761833; 4100064]; [40343889; 73883893]; [97482434; 27202537]; [13210448; 39307635]; [71265906; 24147745]; [5580153; 88124382]; [95044361; 39519839]; [67037655; 39065311]; [24010364; 12639518]; [57573517; 25499411]; [77584176; 17729074]; [83307722; 83926769]; [60502464; 56911771]; [19016240; 28758150]; [32701622; 44642093]; [20078678; 47696569]; [95947505; 56907596]; [13482787; 66591320]; [95574368; 32053163]; [76618217; 55436395]; [346514; 37861385]; [46678884; 13478622]; [94862961; 75454737]; [85649369; 86994680]; [78414751; 53606159]; [12755391; 14023017]; [85021114; 22440892]; [85668207; 89489778]; [83945829; 19372124]; [51907999; 53328844]; [12519603; 858333]; [29568029; 6766398]; [21431627; 46743863]; [65616235; 6202693]; [27858003; 33904541]; [75943652; 95797650]; [63381085; 27685213]; [77861232; 86905738]; [84523643; 99554037]; [62880076; 51353293]; [89191497; 85069704]; [67425827; 19596042]; [30757729; 64600249]; [67385583; 84258941]; [23737107; 42112612]; [63711408; 88554689]; [43122105; 90751941]; [91131043; 75418643]; [18268042; 27121594]; [34169958; 50946240]; [45949773; 80410694]; [27105326; 85605852]; [43828869; 57998518]; [9400959; 77914924]; [33637014; 47291006]; [57447370; 27542296]; [22702887; 46448317]; [55366956; 13912624]; [10191842; 38838082]; [44589091; 71122741]; [62870231; 64359996]; [89729858; 61917953]; [23789532; 2518371]; [61456153; 1310346]; [12126447; 2426038]; [30832376; 71675108]; [48494101; 78015808]; [60340405; 38991594]; [10500890; 99870006]; [86194237; 26713941]; [8134068; 28837570]; [99873855; 82108620]; [68331614; 99693135]; [83449636; 26541896]; [35551206; 25268386]; [73384032; 51459756]; [81412176; 17108821]; [54815870; 74004936]; [10980021; 68324465]; [6012021; 74388136]; [76174781; 80619481]; [51081315; 32405773]; [23299559; 2232464]; [36476880; 17632933]; [5301520; 67849958]; [24025816; 98678855]; [61353831; 74174486]; [83310768; 51245677]; [51271603; 59931750]; [77054440; 8151658]; [43137658; 48054536]; [41264270; 97547042]; [16020359; 65275714]; [32687311; 95291512]; [3515111; 76332707]; [93428975; 79679498]; [16808255; 42362916]; [86277989; 28114048]; [93204971; 66089843]; [35526220; 91764811]; [62595316; 85506592]; [76916820; 3842574]; [93512620; 18420568]; [92112170; 59093513]; [62658544; 61774187]; [42621186; 78356903]; [50615137; 40627667]; [47540494; 251946]; [71006745; 3056897]; [92012640; 38176536]; [33801218; 45455608]; [86432043; 26427189]; [94071832; 12044758]; [55233669; 74875488]; [6964570; 31488649]; [47757111; 1299604]; [28072136; 48393514]; [28993653; 93392744]; [41019644; 87736247]; [70955308; 37976475]; [74018637; 82775157]; [37398695; 2496308]; [34062958; 87332468]; [31347027; 71249393]; [70813268; 24496703]; [76301629; 3976136]; [28886970; 40979329]; [9148681; 47066969]; [23032817; 17335996]; [10133497; 74862046]; [78361292; 77157211]; [1011981; 73034387]; [72894364; 52337026]; [14927512; 7851402]; [13494162; 31665914]; [6055869; 13485091]; [88701122; 18988516]; [76092604; 17082295]; [51277099; 48221025]; [76609462; 17051071]; [11997293; 26100196]; [36867376; 13261844]; [55612268; 20339972]; [44128784; 50554181]; [66712798; 39888565]; [33937823; 85017474]; [80574823; 84115885]; [62537075; 33135635]; [98984318; 45778146]; [17920473; 20117745]; [4278715; 11495371]; [81556951; 3247431]; [26184302; 71020710]; [41105282; 34163424]; [97591510; 45674153]; [50571329; 56864559]; [71873829; 62274589]; [11350975; 13783273]; [10946202; 19280495]; [14729118; 43437869]; [61000182; 42904056]; [42338994; 88444728]; [2278074; 80892097]; [96692165; 30394144]; [65810748; 23267888]; [16376923; 46279520]; [50793582; 12762203]; [81087682; 25167225]; [44992033; 4891437]; [45063814; 42688094]; [87711432; 45070103]; [47891537; 75636359]; [21963682; 20733974]; [13738815; 16467223]; [21584934; 57448965]; [23345052; 61199028]; [37057333; 80907888]; [41882307; 18948765]; [19245312; 31031769]; [84692519; 41663661]; [79891724; 27770826]; [17135494; 51197848]; [62595362; 69285502]; [86092172; 33320008]; [18130856; 12661791]; [44031452; 40408591]; [62831665; 39674946]; [12521506; 71839023]; [30103029; 5736216]; [32899353; 47855417]; [72096721; 36374393]; [4906904; 87354301]; [1946170; 84901914]; [35276904; 93478439]; [95059282; 182130]; [63369439; 49534945]; [7510229; 19078637]; [84559348; 75213307]; [19741766; 27260735]; [96997780; 5566903]; [81983520; 50765817]; [71064850; 4559946]; [59533786; 34502403]; [60472529; 35739550]; [63537016; 66194733]; [27465062; 61196115]; [55611464; 98852497]; [32509922; 65617178]; [55575214; 99152741]; [64119786; 958478]; [63273801; 37305136]; [87148238; 91827403]; [1138044; 73164245]; [20132346; 16682180]; [99365656; 78016686]; [16149239; 55666777]; [58484651; 44049814]; [37334105; 60311796]; [50091001; 80656797]; [33332629; 7957904]; [97210197; 86639107]; [19528812; 68424644]; [88772164; 72458458]; [82779453; 36821162]; [73812492; 42973166]; [79836269; 54427519]; [20750659; 34434838]; [44190; 89342413]; [29441825; 73073920]; [16356661; 33700307]; [22292494; 43402197]; [7432391; 23588964]; [72711520; 65211722]; [3769968; 98281430]; [4448343; 10282277]; [46600433; 86795936]; [98312124; 57576262]; [16614869; 15160846]; [95207381; 9799426]; [49970324; 35902166]; [66512165; 53520266]; [72045238; 73251665]; [54818114; 72524919]; [8058418; 16969712]; [23746299; 19956031]; [6210367; 83394284]; [96408709; 84348024]; [93917104; 1618626]; [97297390; 93719122]; [82943336; 48675586]; [16892699; 60141090]; [64736706; 4115637]; [59937551; 64147187]; [66058790; 27924306]; [72205602; 28668922]; [43525114; 46107863]; [44761123; 3656942]; [96916173; 36922681]; [3197560; 95688860]; [17802061; 77973955]; [62556425; 647461]; [79108285; 75114420]; [76420582; 71735852]; [49108618; 42444668]; [58875713; 89933557]; [54591969; 65242446]; [64485863; 65233957]; [68787955; 93033549]; [83751364; 75069607]; [12719456; 22161153]; [59335822; 20110809]; [4728775; 489255]; [39022360; 19317166]; [28356560; 9301426]; [57825574; 41925069]; [76051593; 25374934]; [16430117; 64936021]; [37616596; 49226612]; [36623858; 27427371]; [84020841; 79264486]; [60942883; 26088200]; [26966712; 48403764]; [57700095; 32388665]; [42950050; 37617401]; [1976806; 62901683]; [11819396; 86896224]; [92186238; 58241275]; [7098375; 23474358]; [16377255; 29463307]; [48877610; 22821999]; [58945034; 57193884]; [98501127; 80286027]; [95164288; 2167627]; [95010732; 78861983]; [49773554; 33052558]; [17265069; 86220180]; [55720708; 17422522]; [54069329; 10011562]; [38270067; 65754384]; [77893821; 53018302]; [29513756; 44194333]; [77701764; 55419110]; [48690004; 85793518]; [73924786; 58873656]; [74281861; 63407738]; [86972779; 66407813]; [52261574; 88268205]; [42178886; 17717433]; [13870807; 63191989]; [26644392; 92817218]; [85202401; 10860839]; [16875718; 60870738]; [86408172; 55790549]; [66092250; 94520792]; [26328602; 49645713]; [94211485; 54066806]; [2356737; 58889809]; [52604339; 60630012]; [33704415; 44102667]; [46541569; 51619001]; [23690498; 31686389]; [67867797; 41214198]; [6804764; 61702613]; [28013422; 23718811]; [88703823; 91511218]; [76579274; 37502196]; [91694428; 66436384]; [14598178; 23091381]; [62201144; 52651124]; [54594465; 10951453]; [27429667; 80421981]; [68232699; 56387452]; [54497065; 90744781]; [10567467; 84010032]; [76357659; 68330157]; [2191542; 81029742]; [22390280; 83971664]; [69130844; 49113791]; [65362815; 65431973]; [83869660; 65617018]; [7019764; 30226679]; [45043737; 70887608]; [53696932; 14434652]; [17606173; 73232442]; [14386888; 10223431]; [92621298; 17669340]; [79652029; 44770010]; [69905644; 49361775]; [28081623; 99272063]; [8657171; 59959746]; [17712812; 9378472]; [46305183; 11295467]; [94508405; 89698700]; [82317504; 24374900]; [14453647; 26640806]; [21823136; 57934710]; [66825395; 77004196]; [50491689; 22368957]; [53278435; 52790210]; [31471424; 78405413]; [79810873; 46764854]; [81310824; 45454319]; [61904954; 72418999]; [66227966; 71389820]; [1122907; 19931257]; [16997229; 33798437]; [59599298; 19240500]; [73413686; 48644722]; [90674134; 33598112]; [3209162; 31408377]; [98135603; 93008374]; [70417086; 98250834]; [40187067; 6403517]; [71383324; 73601139]; [37661077; 67835164]; [71902638; 30412975]; [70635032; 84774166]; [31203272; 76796574]; [53851035; 33987068]; [56741152; 16685390]; [76310138; 65823076]; [52642041; 17944803]; [93787109; 94739886]; [16200675; 2667754]; [29140124; 3291954]; [94696336; 26886193]; [98297219; 98287995]; [63926432; 79352091]; [35290840; 96408160]; [68118683; 97662957]; [55118863; 30506045]; [55994825; 39046916]; [51788004; 93056221]; [18268594; 30935236]; [93546869; 12880402]; [33595712; 86056075]; [30473694; 5186935]; [50948804; 90422110]; [58139400; 12305601]; [52954038; 52643787]; [24146656; 94545984]; [33963372; 49782583]; [4857119; 7750141]; [27531158; 86304436]; [50534010; 65845962]; [9664890; 23717331]; [92998379; 41780532]; [88202214; 95928852]; [83512066; 63643604]; [44279053; 50713722]; [33123423; 91384248]; [45545111; 26990676]; [37396968; 15568688]; [78052156; 59456263]; [67281293; 48934484]; [67802276; 10891023]; [35022191; 91567273]; [29233094; 90857859]; [2354096; 85615074]; [18550312; 5985916]; [15126269; 32651811]; [10541885; 61708973]; [22653115; 48755695]; [94756705; 5853507]; [75042240; 28528398]; [32919495; 4426675]; [85101208; 33716266]; [34274952; 59438119]; [2561113; 11420398]; [61500709; 9909271]; [15626816; 69648986]; [49095004; 20497987]; [89080164; 1963688]; [80234579; 68095085]; [24821681; 28411545]; [63041601; 32539101]; [86326904; 24695066]; [35598746; 21548457]; [84398462; 54438100]; [82296567; 54847842]; [22443805; 90806570]; [5465867; 91128885]; [78384634; 8764654]; [86343652; 64858609]; [42432664; 94351942]; [24728110; 57518620]; [82458252; 43626774]; [11950348; 12983474]; [70690133; 3205923]; [10238004; 42815368]; [4129519; 76121069]; [18489842; 55376328]; [3164317; 84451739]; [49562931; 71281636]; [2412222; 88074491]; [79844782; 70631072]; [43071100; 42890534]; [82343548; 19193794]; [75809937; 74267366]; [85224778; 89889638]; [62186322; 72095951]; [9817537; 17379049]; [63253221; 23099187]; [51283798; 73151912]; [7461904; 95259599]; [87208018; 22281024]; [91318519; 36642791]; [22598794; 8947946]; [78047488; 65290177]; [8491864; 56521160]; [73335526; 25187851]; [23898297; 94446821]; [41265298; 21243148]; [93656038; 88662705]; [8774427; 69502454]; [43397088; 41964865]; [92325453; 38109099]; [6493909; 74139879]; [28355450; 48053410]; [46577720; 21176589]; [85837504; 97672406]; [73045495; 79636141]; [84268498; 76414145]; [4948091; 1767519]; [83021100; 91619993]; [18355995; 65519571]; [60645038; 75049514]; [89718757; 80378216]; [55204729; 23484057]; [76849244; 4878782]; [31688993; 39478746]; [31800616; 20637350]; [12186413; 24153503]; [19675929; 36142201]; [20979813; 62344000]; [7703833; 78004595]; [72386441; 96268455]; [95487954; 12762894]; [75832648; 38295031]; [77437732; 40419418]; [63472814; 68327427]; [59166620; 22665393]; [56191537; 92790237]; [293278; 37576370]; [58957975; 13511169]; [44975701; 88573832]; [98786621; 67197937]; [78116713; 11894476]; [42229362; 97243646]; [68666559; 14471048]; [78925306; 26583284]; [58344728; 50625593]; [57273594; 17920323]; [3603873; 62454473]; [50988988; 67835988]; [38249700; 89814375]; [75659641; 56411679]; [15367755; 11960890]; [25914913; 17429527]; [69929417; 64607826]; [25506234; 38935167]; [24528950; 55639541]; [35393203; 80706975]; [91031331; 60071792]; [68093635; 95808126]; [64637222; 5389725]; [75478251; 94384799]; [68965020; 64552233]; [400586; 29479240]; [30465382; 59958724]; [25920432; 91904503]; [99273162; 16431929]; [99945620; 54482220]; [40625209; 92882586]; [57491193; 80596615]; [23337608; 52101792]; [65784747; 65987463]; [41716100; 85036230]; [36258172; 80073963]; [57393635; 91866512]; [76281793; 59586499]; [69999804; 80881191]; [88538678; 23872016]; [67248472; 77835824]; [50195068; 27066891]; [39783785; 64699649]; [58330325; 37872713]; [23571496; 28425327]; [10000596; 81872032]; [38242666; 62056175]; [85615932; 88727878]; [35998861; 85572830]; [58866070; 61624597]; [606278; 50781284]; [81295995; 78872267]; [66014305; 32143783]; [16488749; 82853749]; [27655657; 28348224]; [86676119; 86942362]; [37592064; 7547089]; [88380537; 85828493]; [18074514; 78530504]; [83869128; 55738282]; [55482515; 80068615]; [37218054; 14047963]; [24703021; 52383144]; [61366070; 31260340]; [22690096; 61288406]; [63105694; 47002938]; [9700575; 10753127]; [95712039; 96484172]; [85275143; 27783754]; [86808516; 41395040]; [4822831; 29952273]; [81805253; 92298425]; [96009347; 77694139]; [16531219; 8419260]; [73996501; 11461325]; [99531815; 73687319]; [83053011; 19279475]; [97473447; 71233488]; [34061483; 92930427]; [50488390; 42363821]; [71887558; 9337424]; [32664874; 14127667]; [49032870; 13702678]; [43221114; 22670557]; [45867206; 68213509]; [10040695; 88885620]; [97691097; 78480806]; [46759777; 94416409]; [94224138; 43265017]; [43952151; 83953983]; [76142303; 9072214]; [22419002; 35155584]; [32892241; 37179729]; [21054617; 8557040]; [48420672; 1802771]; [25650170; 2554195]; [23646063; 36262469]; [8197966; 1004963]; [67822294; 3157213]; [64941330; 83506818]; [88930568; 24410820]; [82170023; 32503831]; [5487054; 79472582]; [24407584; 31117016]; [13841583; 66250798]; [75236294; 22250324]; [3137747; 52881960]; [40898546; 98383803]; [29510548; 77717897]; [42387316; 52275651]; [5198088; 72383856]; [30149372; 96277723]; [43269236; 4820064]; [55685555; 35335749]; [95130506; 56918968]; [74479019; 52699739]; [53180831; 32382012]; [31571706; 20704876]; [59772118; 21423323]; [19453927; 4165452]; [82413007; 35601889]; [37181811; 30954442]; [59197500; 36609381]; [35468064; 88795341]; [78072424; 12844183]; [56881823; 87692424]; [35248642; 25675209]; [54330813; 13071786]; [2407937; 4366018]; [41918416; 92597991]; [47061730; 31785908]; [87740768; 82384285]; [2973985; 42769566]; [42142756; 18189850]; [43947052; 62429400]; [75092975; 54997320]; [29012824; 16987892]; [93093234; 19499328]; [74233787; 80144571]; [17930460; 90457199]; [21481988; 1686280]; [52517452; 5479525]; [60128801; 92812438]; [63615672; 7458646]; [67665304; 17276382]; [94421375; 75054994]; [50418905; 44966874]; [16064970; 44939858]; [20474570; 91325460]; [58406289; 97365914]; [45146176; 41481248]; [3288122; 74327429]; [55584566; 93936582]; [59936399; 36382782]; [98757318; 71778467]; [94033714; 17343868]; [89920232; 68650665]; [71153584; 17900300]; [20260658; 56546316]; [73336948; 81374744]; [78617793; 76000677]; [30241128; 78470751]; [18350954; 7585609]; [38806360; 52750725]; [13059006; 48282174]; [16709956; 21342965]; [30213627; 6987742]; [7875631; 3617386]; [50718605; 77037566]; [46134459; 13553985]; [13067620; 47371775]; [33744730; 17844794]; [35890732; 93972450]; [59979668; 76745122]; [57971261; 69605400]; [48846984; 9356874]; [67221804; 51626362]; [41636561; 62233195]; [38799591; 60719323]; [25344335; 50080661]; [30975857; 81852473]; [54015210; 44843774]; [17747917; 76011681]; [61946334; 15604848]; [34733936; 12778429]; [85206273; 33621045]; [54655758; 32646520]; [32815587; 15586148]; [26219211; 58774529]; [69726378; 30908907]; [8368365; 33324591]; [57451807; 58251306]; [5926053; 43823988]; [56983772; 28135346]; [64861369; 15454684]; [85168861; 96893442]; [81824932; 41283966]; [75702646; 34884177]; [18740376; 57536492]; [97392695; 40703296]; [55643394; 52861556]; [15110975; 1714619]; [17704466; 79493330]; [55426712; 23491001]; [69508471; 91095956]; [33911201; 5777733]; [82610171; 15194979]; [46183746; 92243188]; [86024278; 31900892]; [35326264; 45424354]; [31339383; 21706790]; [4809031; 67534915]; [23822322; 41458684]; [65915923; 46148598]; [94008004; 86540837]; [28116881; 54475698]; [66515633; 52320731]; [24818586; 90844458]; [49709487; 37339187]; [75771434; 89588797]; [3343243; 52662992]; [57277529; 8745341]; [40001607; 86182833]; [745481; 20074724]; [1849306; 61081144]; [91375866; 47294856]; [74491641; 47123995]; [5570076; 98607563]; [66089525; 14802829]; [73014488; 37649140]; [27549512; 57256562]; [8596653; 53133295]; [52721313; 88392773]; [49640929; 71169251]; [84003357; 98440419]; [37249912; 83225198]; [93383889; 21927661]; [40511202; 36330537]; [52119008; 1680179]; [64640653; 79702863]; [89596978; 20336910]; [17774606; 58907297]; [95423699; 25849093]; [11444341; 26118939]; [39823562; 19849541]; [48769641; 29599732]; [40358203; 50437246]; [39831515; 44602064]; [46403808; 53570498]; [29900635; 12582092]; [107760; 54987727]; [82583882; 64086618]; [23721428; 26764839]; [43642004; 41067724]; [55080901; 78735910]; [70137767; 9446066]; [84379010; 41318396]; [45689348; 36673681]; [30514258; 65965707]; [6063774; 8377432]; [6186349; 98505059]; [3903437; 16080137]; [6295424; 36494537]; [15243251; 80311598]; [46122333; 86280581]; [73219156; 32790359]; [57899331; 36493636]; [29830434; 20212852]; [91994516; 85588933]; [11478053; 63637137]; [5192957; 31728452]; [91368686; 82285917]; [53496972; 49225033]; [44988508; 90173007]; [59893899; 20095270]; [18286524; 16772083]; [4303768; 82535951]; [7483767; 54250004]; [15222212; 66699024]; [32412164; 32161856]; [9712551; 89387764]; [4795918; 69758895]; [56965187; 6513819]; [50246311; 20527091]; [27589552; 48447286]; [31969019; 83049411]; [644628; 59909783]; [15513667; 63657506]; [5900743; 30970217]; [57599860; 68196201]; [95611926; 94995982]; [88684193; 8618465]; [7288839; 69281903]; [9467878; 15341480]; [53730990; 73044717]; [64749849; 10476145]; [98972125; 68826088]; [12345530; 22908665]; [96137348; 96677364]; [14343467; 32643377]; [14838411; 5353878]; [53379659; 94960752]; [58514547; 41207447]; [33784729; 59535494]; [85930783; 36643947]; [35934673; 6893782]; [99115565; 1567237]; [43137578; 37147816]; [84049876; 77924112]; [86993598; 97079741]; [83188847; 79564485]; [16235651; 60070825]; [76989742; 93190774]; [76096051; 13602622]; [46929015; 30696712]; [4545195; 37541463]; [27366307; 98161572]; [69874184; 37490945]; [2152834; 96224063]; [17687725; 39086919]; [6750814; 80902440]; [24352987; 58425333]; [21598824; 26946629]; [92709126; 50215104]; [39303025; 40103012]; [58563468; 24445062]; [43249838; 96900873]; [58383670; 68287050]; [26359051; 58546540]; [11390868; 42083041]; [30877694; 33031537]; [38478421; 40895371]; [14833434; 44061360]; [43441566; 66928935]; [80950274; 10792518]; [28893541; 80155801]; [40653803; 46161906]; [53271556; 23572693]; [95473006; 92051520]; [7332565; 78792931]; [9221966; 65577196]; [95314452; 53789147]; [52440271; 44018272]; [73143117; 52297547]; [73371721; 55297467]; [25992833; 80876621]; [59091408; 36100781]; [48131668; 1196676]; [62844658; 74312208]; [56402231; 45139454]; [31152997; 69943529]; [67404929; 79567629]; [71494785; 71852409]; [3976248; 28370370]; [72291260; 98920561]; [79393650; 11634565]; [64137602; 65448910]; [8909102; 62207102]; [55533944; 33866195]; [89727864; 92349424]; [44661378; 70845606]; [4379949; 95454508]; [77498491; 89534610]; [78198556; 33145182]; [76760201; 3260441]; [9884030; 34975867]; [47418199; 70640291]; [76090104; 8113967]; [95767477; 61059092]; [32954126; 29577402]; [64319000; 25869703]; [38997214; 10171883]; [95302651; 7938178]; [6094809; 46881108]; [7281763; 94986560]; [95231016; 19707681]; [75777570; 66194650]; [29798966; 26751238]; [45195634; 1154904]; [22563960; 71400197]; [13849557; 31290806]; [21933226; 42486832]; [1740029; 4655431]; [70589469; 66645211]; [55593839; 26548356]; [66780752; 36570132]; [12359214; 24066734]; [39343409; 89926887]; [13064406; 40842628]; [38161744; 60007162]; [68093267; 20295939]; [77617804; 44235475]; [10337340; 11825554]; [17218435; 55991488]; [31659377; 91677109]; [97273820; 44248264]; [40718298; 2456856]; [55448914; 9295373]; [77806308; 81301338]; [50012131; 3858744]; [58293311; 99630626]; [97508113; 63065681]; [15681648; 36142248]; [18361428; 3122170]; [85852145; 28094707]; [35909154; 73117681]; [8870392; 65425536]; [85680290; 15262786]; [46520790; 96646139]; [98064954; 53814828]; [95199869; 20151550]; [31518916; 47627492]; [92549868; 2945396]; [56487331; 61773115]; [22058334; 89547287]; [83406934; 39704316]; [97835726; 20955616]; [88799065; 2846358]; [36055906; 10037385]; [35798833; 52810081]; [46600437; 64282648]; [98768069; 51538375]; [86633514; 30430486]; [59975536; 81005143]; [39438878; 47087165]; [88677463; 53995878]; [59610803; 97647052]; [20088799; 90551242]; [79560712; 20254252]; [32251008; 56883535]; [50776674; 66262524]; [23256654; 34751822]; [72650698; 22283573]; [81335482; 69490820]; [63901829; 64257405]; [54019592; 11344860]; [96030744; 23524409]; [42168204; 24024813]; [39653390; 83502219]; [81949153; 47611430]; [45160261; 81873403]; [93012903; 56525533]; [30639910; 38005626]; [93448577; 61950357]; [25437850; 11839353]; [28976473; 67081799]; [96064486; 40836832]; [54948283; 11837802]; [37361098; 73900838]; [76379671; 5525674]; [13668853; 44741141]; [8359816; 81617289]; [15382769; 8215455]; [40454726; 97897890]; [44152798; 98255302]; [57245363; 35714519]; [54552898; 11058534]; [54880016; 94318594]; [99977364; 58313794]; [76690428; 85648554]; [52523058; 9239395]; [46808101; 78463280]; [1415916; 16075053]; [33690859; 22434218]; [51813606; 63555558]; [56621214; 19766847]; [53462608; 34625833]; [60664302; 62153459]; [8559279; 73264836]; [70948778; 30972854]; [18024284; 98742278]; [82167159; 64594105]; [47942393; 39685737]; [34465006; 13526801]; [48251867; 8187339]; [40473995; 4729270]; [26250844; 60729615]; [26636918; 61769750]; [64561873; 59799433]; [75623952; 42593977]; [75479073; 92330328]; [86297151; 49127702]; [19024739; 76763915]; [37144131; 69198954]; [77324854; 35977264]; [46701783; 58246167]; [2765197; 18343537]; [54744954; 1397966]; [68415906; 40710947]; [61688310; 25842974]; [99771750; 52205446]; [85733797; 79539474]; [31032984; 30011075]; [35675743; 81312405]; [14529318; 80588011]; [50902503; 63366906]; [40351282; 35658549]; [27671012; 86312387]; [13765912; 98840272]; [61483170; 29012990]; [93060828; 19531303]; [49314520; 88654799]; [31562124; 63162080]; [57901630; 64422019]; [60607374; 96530221]; [80725827; 68165849]; [78826815; 50491138]; [87861609; 81838029]; [68183122; 72832181]; [89220562; 18103877]; [77508077; 5241928]; [13638184; 32568784]; [85772572; 54658944]; [30781023; 82402926]; [871658; 10193653]; [88906064; 27678218]; [64216855; 14877101]; [62616022; 61387179]; [51603229; 79298460]; [26316823; 3967725]; [48899206; 42597026]; [3522700; 67002809]; [2049250; 65467265]; [63281255; 64376804]; [63572647; 10629595]; [45802423; 28095175]; [34296107; 34656038]; [21562576; 38454825]; [11755988; 12768997]; [76335200; 73016116]; [5357461; 37809511]; [19442774; 9245671]; [51332263; 77802336]; [92568669; 60746531]; [67779220; 4644122]; [90441954; 80789805]; [74058349; 94378212]; [6426522; 70926359]; [60185593; 34849563]; [85091869; 88364626]; [7389465; 43482060]; [96493919; 17548071]; [61952329; 93001297]; [95885472; 42997479]; [1335553; 50323043]; [20002332; 14192387]; [95310679; 11555092]; [46956969; 89110741]; [67733648; 58406526]; [4914161; 63728443]; [46424860; 39565205]; [52609910; 68634889]; [73168635; 68355536]; [63466974; 45768837]; [65778557; 90032648]; [34682273; 82136618]; [71199356; 14307788]; [75831726; 46617379]; [55714731; 64458921]; [23563270; 20148080]; [93211599; 5002328]; [41632486; 8649149]; [59574524; 14424512]; [7834796; 88604404]; [3580433; 27990711]; [47682830; 81613954]; [30298297; 80354344]; [14228588; 50212271]; [44705270; 65868490]; [16653447; 68718895]; [53192546; 54206163]; [31877024; 99031026]; [18481947; 25290623]; [51852989; 54096107]; [3183630; 37361632]; [27837303; 89608459]; [76859672; 49377865]; [50054904; 54100172]; [70127136; 70135241]; [19916080; 93852967]; [55311547; 81341571]; [40192277; 21191639]; [72570380; 44480728]; [13234228; 3221719]; [36274877; 93843735]; [89857334; 6159150]; [52042333; 9027612]; [37415547; 73221557]; [44241865; 5114038]; [65783751; 72743658]; [86313666; 63290526]; [35669366; 33177446]; [34388443; 6187565]; [53296738; 84154366]; [11445675; 98945197]; [11644151; 88017156]; [27585648; 63856107]; [4700742; 45751536]; [2794338; 63178457]; [94258582; 13948679]; [94973617; 26625454]; [36224107; 739746]; [2093079; 93343634]; [59146486; 44318370]; [11493774; 86686031]; [45202360; 60725597]; [82635603; 455956]; [83470167; 29108278]; [72888176; 17831132]; [86735261; 73499505]; [77823514; 52285732]; [34333081; 66614959]; [55755675; 44375362]; [91153616; 44680334]; [50509556; 83242825]; [72866216; 6022089]; [60125465; 29230902]; [38396484; 82079353]; [1036616; 80804805]; [1368351; 18313818]; [19300097; 13220237]; [24592997; 11705016]; [19921795; 61051965]; [63063911; 44217602]; [31567193; 30575659]; [67468812; 56219537]; [82473530; 50231380]; [16530157; 82379726]; [66739255; 770428]; [92643660; 68584294]; [54537681; 85184653]; [1338337; 83910345]; [41463917; 56597559]; [85564702; 40241804]; [24397579; 92115665]; [89059239; 47187368]; [53588821; 95948739]; [35286389; 28360933]; [62240567; 49044235]; [84087533; 639161]; [44109884; 26495309]; [72822500; 39226484]; [71339636; 73634017]; [47563842; 45738300]; [44763358; 52121258]; [29281017; 15076469]; [90874127; 53941790]; [8925342; 31016884]; [4456006; 23745590]; [90752389; 62163328]; [37048773; 99057702]; [42490444; 41221086]; [83369578; 12399049]; [21996336; 68707046]; [70470503; 37889499]; [24830590; 51809628]; [67331500; 38761024]; [62522032; 48373747]; [25807161; 41415264]; [12524745; 25976532]; [60269; 90279863]; [20372274; 21382358]; [78515710; 49405360]; [64712661; 35727298]; [51020999; 82922685]; [66420878; 71771455]; [48442140; 94262846]; [32952608; 89701602]; [88205873; 24906680]; [78215252; 65611087]; [93963164; 68887500]; [47864073; 58794035]; [11115968; 42926694]; [34171753; 43506049]; [97998420; 6518691]; [93295450; 39438347]; [91266732; 54221393]; [31954046; 56687342]; [36815590; 33313581]; [82882523; 84053956]; [81326567; 67237249]; [54347153; 78164426]; [58203701; 13604161]; [53901032; 24832685]; [45966357; 45301179]; [7031724; 63645062]; [65430764; 56323512]; [69959440; 77604198]; [96585196; 59916687]; [96574302; 89079146]; [20865596; 28289699]; [72452319; 76576527]; [15439880; 50694401]; [61021717; 71024482]; [85607074; 43632546]; [96051891; 26769576]; [90107804; 2446309]; [93957412; 54818506]; [1621320; 18939803]; [45174516; 14186748]; [69487776; 47871264]; [32391021; 3100189]; [94358842; 3252487]; [7387433; 70512629]; [45538674; 88494351]; [58974344; 47953762]; [58121485; 4328773]; [34477803; 76642967]; [63415381; 86494553]; [38840952; 54373256]; [67673229; 76034978]; [76571030; 99755406]; [6167355; 22161397]; [24090508; 87250322]; [18382682; 93379289]; [72146762; 66656772]; [89347197; 37655556]; [47955668; 43159647]; [45197772; 47808730]; [87824880; 86628204]; [84924959; 89225858]; [60875225; 26846108]; [9859950; 36312168]; [34379320; 65868663]; [97877119; 81851277]; [65501866; 54783551]; [94243176; 55704245]; [27950764; 33192848]; [32955078; 29191480]; [44791027; 54666397]; [68932356; 19051849]; [15252532; 84483216]; [75663094; 93909389]; [38563414; 27657194]; [87705315; 67015083]; [71575598; 91357247]; [56188368; 17008799]; [86609512; 55007611]; [27191556; 52853818]; [28209598; 59370449]; [78261845; 4870130]; [7046030; 83507775]; [58592468; 12752876]; [18574272; 15089516]; [12497449; 95081920]; [56093858; 88872705]; [27334896; 70141511]; [13282782; 8275246]; [34813195; 74905178]; [21631147; 16439437]; [56449551; 80137066]; [61136239; 96422770]; [12576092; 91510893]; [44656221; 18950470]; [42948600; 81715763]; [32207592; 28801745]; [46931846; 95920790]; [61465798; 97586370]; [41460076; 50448751]; [80151505; 42193786]; [19906150; 17565384]; [88581073; 92127927]; [1374090; 60645502]; [27799683; 39346867]; [4452413; 92930660]; [38123049; 36891093]; [16007989; 24643900]; [47703329; 23264192]; [42370971; 99269286]; [49858651; 41518849]; [601321; 84939317]; [15649897; 81905316]; [61351200; 4028922]; [26893238; 6934273]; [17442326; 14048842]; [19995038; 21147989]; [35545746; 68315203]; [59549086; 99402524]; [46164784; 61858065]; [18770951; 8445103]; [14590868; 65845434]; [42014349; 66361228]; [36618953; 25826536]; [13053336; 90605746]; [11485804; 53036573]; [30457974; 80331021]; [62901670; 56837837]; [78285426; 24316236]; [42613080; 79658865]; [91408121; 63457565]; [54625615; 72504761]; [71941693; 77310947]; [39245035; 75596234]; [38677001; 66976003]; [62258592; 770407]; [14859661; 2902457]; [68219237; 63938827]; [8264167; 24239166]; [76714633; 83824730]; [65340049; 9216589]; [97120278; 63804866]; [96218756; 38453172]; [45892425; 84189105]; [16787002; 95105998]; [21611402; 47881966]; [28518240; 54318755]; [92542177; 76430641]; [43353154; 85601108]; [59888559; 68452521]; [48959785; 20621435]; [75089404; 54210887]; [85536893; 72026996]; [51196080; 84558798]; [44742855; 83963319]; [31801830; 88982751]; [24242990; 59237730]; [55016505; 7911501]; [29065489; 8891066]; [51402006; 95619142]; [35144611; 76056460]; [86504188; 83389721]; [35403495; 54846034]; [81129593; 75627959]; [33210731; 21161867]; [56094833; 26543285]; [68330982; 7044022]; [20074019; 37598226]; [31562616; 40211134]; [81281797; 112471]; [83243255; 33430530]; [80365690; 70093970]; [97437427; 57522648]; [45210448; 75658954]; [58840263; 29114120]; [69868715; 78574820]; [77424909; 40608569]; [4469109; 69668281]; [37019084; 34689591]; [29919505; 25978923]; [10177096; 5923590]; [97417775; 29347871]; [75973857; 86058226]; [46467747; 62039138]; [73592277; 61165140]; [64088843; 72916219]; [6088419; 72453468]; [40083918; 29717908]; [98180623; 2433292]; [79863306; 65025295]; [94237023; 73782431]; [153222; 9651955]; [3923508; 45200946]; [32772525; 3329146]; [49906203; 32869655]; [40317644; 64221568]; [637229; 5194775]; [45031003; 78404758]; [64295936; 22603269]; [67759710; 68781024]; [16485929; 16001296]; [26247190; 68053949]; [30522991; 14284268]; [66582700; 63904590]; [77367151; 8036775]; [35089684; 75325730]; [66283113; 58462587]; [62548562; 52167559]; [81032215; 35408497]; [75301660; 19545337]; [84231826; 57071481]; [66917225; 1254027]; [11750128; 12649208]; [22991169; 60324218]; [36599776; 88184734]; [80838766; 51898719]; [77095997; 40706473]; [85672353; 18006276]; [218891; 4776456]; [93637709; 31413611]; [53129886; 40431342]; [74908482; 73205004]; [14050369; 2392335]; [53908879; 96012731]; [93684735; 96141361]; [21312317; 35037420]; [76155782; 7993489]; [64526073; 25102452]; [49931808; 22755134]; [73783758; 70247613]; [83422067; 35454595]; [25855166; 94739185]; [46161439; 39618782]; [91890088; 52327303]; [23467594; 77824118]; [42751604; 59414952]; [25993625; 59529083]; [47069681; 2393168]; [50450747; 29428456]; [69955863; 97941544]; [98785942; 97554560]; [55926562; 32383892]; [96274252; 9694354]; [77238131; 44888811]; [50021978; 69649415]; [18136202; 43071445]; [32366749; 14683084]; [85711454; 17770826]; [75946998; 68434476]; [6640905; 25791725]; [2673694; 59200103]; [65066031; 56016898]; [24479868; 36933832]; [15705649; 86458857]; [77006474; 71006876]; [58139716; 9808722]; [58841613; 96476875]; [40661882; 45109022]; [78696175; 62788115]; [86470463; 23186832]; [92280504; 30375022]; [63156403; 53813511]; [73118043; 14344005]; [62212784; 71510505]; [21174490; 9653119]; [54909607; 12695969]; [99725698; 35354443]; [54743755; 34652802]; [35726593; 89836933]; [85840495; 74777220]; [73716554; 69241727]; [30140015; 28726036]; [33585247; 62483791]; [89071763; 22156852]; [89763316; 64069379]; [34683650; 28855689]; [41077690; 45956290]; [83463707; 77913812]; [94371564; 57668344]; [61798068; 21761276]; [19896904; 42603868]; [54586647; 72277749]; [13021685; 36731446]; [56137948; 3294687]; [18811369; 59295345]; [29303389; 79078808]; [59561005; 8812324]; [73765696; 82581839]; [20679848; 68433296]; [2555240; 49185386]; [90751692; 73823182]; [37955635; 68797458]; [8893712; 66413891]; [5103462; 38966970]; [48532290; 75907851]; [53421440; 24171822]; [81954667; 48729906]; [45630598; 24442816]; [17887219; 26885082]; [65611570; 90218982]; [88967867; 95602071]; [68359184; 74795024]; [18477476; 13145352]; [24998832; 94272874]; [88644170; 1665371]; [75102003; 86761635]; [80244075; 21698489]; [76723196; 64688688]; [43167999; 43949718]; [99170943; 84611084]; [69844056; 62422874]; [85889683; 4199944]; [71910110; 57995140]; [66463114; 86278818]; [94557148; 29155474]; [98046423; 56860312]; [49943398; 74916466]; [28741209; 14493614]; [62932607; 44616100]; [63143127; 6557243]; [92981148; 5666117]; [6035523; 92616656]; [35329951; 33881402]; [93170363; 46872066]; [86187189; 30799993]; [45458426; 53739303]; [89822701; 13153718]; [9950431; 44370257]; [24124472; 40179680]; [31022052; 96532361]; [53610968; 87451323]; [71779610; 13099567]; [98904717; 88809302]; [47738844; 44202743]; [92961599; 19822137]; [52176493; 2217405]; [83790045; 71688818]; [13939187; 92548837]; [25649198; 60621760]; [54399723; 80282764]; [1223578; 49299088]; [3926835; 9928158]; [63854368; 60032607]; [18602024; 40295782]; [50683735; 64854322]; [79419532; 55952357]; [53206649; 41746329]; [61959718; 2496924]; [24763001; 78601619]; [3112445; 77559453]; [30309712; 72893626]; [20026998; 12922308]; [10628147; 72690833]; [97423818; 75827593]; [45767446; 88590378]; [85861878; 30722181]; [92942883; 56219240]; [91844406; 47896342]; [4894710; 6292146]; [68471982; 46376957]; [26471770; 83980996]; [66484430; 56840962]; [89612198; 71381890]; [54045507; 99977128]; [9072062; 21070482]; [37329237; 2951651]; [3638963; 70675935]; [81683015; 25222601]; [4579912; 1371808]; [62677231; 16455826]; [32805327; 11943407]; [41972684; 67846569]; [61266389; 5860931]; [77313691; 60991433]; [13616838; 84124227]; [82154878; 55198505]; [838909; 4045741]; [4045742; 15750203]; [56706587; 1630153]; [79618445; 94089762]; [53991775; 54828409]; [8391451; 7087290]; [87755313; 35776084]; [97159536; 22506059]; [12729708; 2680130]; [15880984; 86634166]; [98346803; 37936746]; [71833268; 30587630]; [55793411; 85249029]; [89168350; 64661919]; [68096349; 4318333]; [24742497; 9337007]; [71832264; 48626009]; [65281364; 46808775]; [25930049; 99743377]; [30932039; 21742875]; [40006673; 38642279]; [73641674; 538387]; [38978601; 73781992]; [13676838; 49287785]; [74726543; 68150003]; [70946179; 33512225]; [75862233; 13486631]; [63499823; 4329658]; [96436445; 1797579]; [49182110; 55835277]; [30470057; 56669807]; [21780098; 14755228]; [77702553; 83225140]; [76986446; 68506440]; [26643157; 22725331]; [84196079; 91844045]; [54409873; 56330980]; [57253007; 82889619]; [94146344; 73942646]; [27046731; 68610733]; [93596577; 54506072]; [18166240; 44778604]; [11116829; 72927162]; [45987218; 57807450]; [44307756; 61206377]; [41994343; 87655169]; [30882461; 26762436]; [45772343; 75261380]; [61129030; 96809531]; [60698632; 6802342]; [67076982; 9793235]; [24500582; 49537802]; [75461566; 55878219]; [97195687; 71105711]; [55682012; 40136915]; [66025493; 36165680]; [2976371; 80520939]; [39114254; 69543713]; [10062765; 81798638]; [1768436; 6921010]; [86638724; 91396282]; [6060283; 25262424]; [37726907; 60711446]; [22449780; 51989631]; [14024471; 42823395]; [8340451; 33660370]; [85622517; 19000111]; [15520461; 28327843]; [79326296; 188657]; [91903494; 66454933]; [60472210; 91531588]; [60067356; 16858483]; [26988069; 56854893]; [33828182; 37627480]; [54159165; 25124643]; [13455810; 39308874]; [80599305; 85557831]; [21524216; 63041449]; [81910782; 31245133]; [13207797; 24929400]; [89518522; 20637530]; [18144434; 2283122]; [26861190; 71273167]; [22105031; 39126235]; [14205252; 71446598]; [54013108; 59184437]; [2524311; 54165112]; [81289422; 79803572]; [50225312; 30867135]; [74468849; 84758658]; [54731830; 89040149]; [69722795; 82553959]; [82465279; 30030692]; [60927240; 34642658]; [10199865; 77475461]; [76857353; 96068337]; [43246961; 30979988]; [75521569; 83639919]; [35271560; 39165963]; [47182349; 62818136]; [38007408; 59400902]; [28385695; 50452305]; [87240073; 68083311]; [99657991; 42154220]; [40687270; 33720572]; [50857814; 71118687]; [79953788; 39943915]; [21146492; 63225338]; [82071080; 80190410]; [62392645; 11278232]; [44818742; 477975]; [82669637; 78696828]; [91207410; 34392833]; [52111344; 33655686]; [46239467; 50728301]; [72572447; 98382801]; [89206750; 4750270]; [48111684; 42694630]; [3288466; 27778437]; [78578446; 40417435]; [53818192; 29155706]; [84073461; 47307730]; [14265290; 21228909]; [17329761; 29604792]; [22743743; 74775730]; [37095054; 19500151]; [87794724; 57952303]; [47619613; 81844684]; [10525101; 77236329]; [62240853; 73264924]; [19566800; 1908436]; [17109195; 69375617]; [57561425; 48770500]; [60420228; 55022779]; [44993416; 9035815]; [15523680; 77543972]; [84441070; 14134007]; [36429691; 28569309]; [28330343; 40903904]; [2211570; 10819963]; [92713401; 89813152]; [13563238; 99280171]; [72955309; 43200029]; [98688635; 7042983]; [92918378; 18078794]; [55043315; 24155104]; [87322596; 44494288]; [52154264; 68440757]; [28913032; 27372173]; [72814176; 29592656]; [17498058; 55781339]; [51327747; 42754436]; [5377561; 33901083]; [57341592; 28740252]; [37620530; 75154926]; [65187718; 45713432]; [49435993; 60613139]; [75037970; 25762349]; [71021663; 94279168]; [12244039; 25432780]; [681690; 69974384]; [94535896; 24953879]; [88225673; 33756038]; [19262088; 17819630]; [78716372; 93531692]; [56562197; 79045926]; [5870366; 77996209]; [47651038; 57377699]; [36911315; 27021525]; [57000984; 67268852]; [97996435; 4207648]; [48446671; 27319741]; [44166065; 20285479]; [78743613; 18033480]; [3242123; 77635718]; [25399300; 43826350]; [89706812; 15695661]; [21758958; 32901942]; [82610504; 77211997]; [39438426; 62625590]; [63536042; 96257555]; [68680575; 66639777]; [8096985; 45977734]; [68461245; 30201481]; [59269778; 45223808]; [58330375; 57783276]; [6969863; 48249557]; [63344630; 20787278]; [80364817; 36498626]; [79817974; 31524437]; [63720728; 82154710]; [41710871; 55735726]; [82444748; 4734327]; [6632337; 34761075]; [92273457; 41806621]; [32881286; 33709088]; [98485711; 76688378]; [54663674; 43689857]; [19891749; 50184817]; [9556817; 85009446]; [39222833; 52502165]; [51223189; 75640836]; [48922913; 37321160]; [26038349; 17700379]; [41948677; 93067578]; [89967970; 89884625]; [6240984; 74140403]; [50778152; 23392663]; [46253037; 35302242]; [1769910; 75598232]; [95610705; 73990234]; [27282829; 5309225]; [83648706; 34222117]; [77696244; 73086969]; [99283627; 98758615]; [91623401; 21180198]; [86661900; 34927316]; [10722360; 30891747]; [84728797; 40120827]; [87070773; 30404590]; [13366628; 79995286]; [63165638; 90941356]; [62871634; 87662271]; [28061127; 79424075]; [36946265; 32451999]; [59467831; 88909795]; [96479548; 29895819]; [72716291; 33031842]; [23210567; 38476977]; [13333845; 55472613]; [86630345; 80969268]; [7131150; 55446058]; [55575465; 45245340]; [85833659; 74548543]; [74567029; 25088011]; [39880381; 12280253]; [57346487; 6611076]; [53680548; 7317065]; [3762866; 96224363]; [86105966; 90233338]; [67108359; 73610449]; [53707516; 51644468]; [11157949; 47682125]; [39907319; 86574737]; [44703407; 79044934]; [12027964; 93895283]; [80178333; 59511977]; [19698781; 55087466]; [10001542; 86202107]; [57715741; 25005290]; [95440885; 44490473]; [399737; 19004954]; [5229087; 95895391]; [75481124; 17170841]; [18975881; 47811573]; [70744055; 57248897]; [64561495; 8002117]; [92870077; 28201590]; [70432818; 46696803]; [59943339; 57083606]; [5283356; 19764122]; [30176638; 66782009]; [74323753; 51485885]; [72202072; 4962657]; [92723420; 89571622]; [3474808; 33443872]; [83743977; 47852817]; [4771785; 72004747]; [31225328; 72612691]; [39991698; 47887874]; [66739255; 53439240]; [29465058; 9846593]; [78306498; 54744429]; [3122641; 50496437]; [59155223; 24514663]; [1035206; 9860737]; [7349095; 16926492]; [91619215; 64186374]; [88170897; 13452746]; [97554362; 93647974]; [78422498; 81672732]; [18481502; 48954870]; [84571379; 22608815]; [29777058; 9165653]; [3240237; 76861697]; [45588572; 45203912]; [4996465; 8277196]; [24720178; 57634052]; [66281443; 58568714]; [20428296; 69885316]; [72855866; 90447165]; [12083110; 60119403]; [28462273; 51497435]; [34660933; 52160233]; [25691358; 71522359]; [62226278; 36573820]; [73284671; 1968677]; [22359003; 47376933]; [55003359; 87375285]; [98201671; 48502346]; [22873564; 94665794]; [76170961; 16561232]; [54863355; 83477201]; [82568470; 67327417]; [83961092; 48096114]; [50152711; 20025090]; [65713525; 62964839]; [8867714; 86630499]; [12943193; 9792010]; [28930754; 9560347]; [90010852; 5086080]; [99999269; 24191890]; [89508883; 5731554]; [39077572; 32100906]; [82640052; 92624484]; [81370475; 95582323]; [36033106; 21257886]; [18765925; 36407881]; [50572970; 88534119]; [94121578; 66826706]; [90231341; 53279738]; [32633461; 38313755]; [62089485; 16655000]; [75057132; 68756017]; [12952044; 36610339]; [61245753; 48689234]; [56422250; 34751913]; [33319833; 32443407]; [7607433; 49051173]; [58099060; 2847825]; [37635438; 97738841]; [12828310; 1845426]; [56440510; 34590075]; [96216094; 16554126]; [50313137; 22560681]; [42898778; 70586949]; [70955743; 24548619]; [89197869; 47285509]; [2396896; 72336435]; [37481635; 97054417]; [46200444; 30576109]; [12854396; 2839134]; [18738172; 63216747]; [89612801; 58639486]; [4488807; 33624482]; [36195047; 70531659]; [61602734; 68339774]; [61066932; 3729281]; [14459670; 19542513]; [21717436; 24448739]; [821485; 1698439]; [75855249; 71957763]; [89387173; 10400579]; [531245; 72010778]; [68617221; 57782113]; [23712898; 52983258]; [52536821; 26704969]; [9501590; 83474338]; [21488797; 41885743]; [78051545; 78530648]; [44767846; 84866439]; [13541061; 59237185]; [69725047; 39930670]; [38487595; 89712577]; [42541619; 81938884]; [8400420; 81994641]; [87750544; 27852712]; [69475080; 66983471]; [68748937; 8104699]; [33009163; 44869674]; [3303973; 90258426]; [25022285; 60821145]; [11405225; 39004806]; [57949628; 50742357]; [73673202; 2286709]; [9091025; 368410]; [67551987; 78568152]; [39552839; 8865045]; [14422870; 39233252]; [70485163; 58084715]; [10789646; 55669493]; [45927990; 81952451]; [9557021; 97100743]; [14159341; 19514138]; [30386361; 95910484]; [12048741; 40189522]; [43981290; 83214209]; [58329416; 43120619]; [94756557; 45362192]; [87657247; 7779915]; [24393555; 1985194]; [51946720; 41178985]; [29010369; 21601784]; [35973530; 37527536]; [98380655; 3408782]; [93129083; 48697866]; [22272639; 10175714]; [57377223; 91244242]; [99868532; 47767404]; [76881631; 10427682]; [10065048; 79959287]; [98271196; 10039640]; [46188180; 18321566]; [59880251; 49918484]; [71677558; 41078593]; [83045323; 88104537]; [55356085; 89293217]; [19208109; 59195287]; [8302213; 68267551]; [91460919; 40110276]; [76600147; 71781971]; [21121799; 53786152]; [84933745; 37174660]; [25375327; 79569816]; [3024216; 47333255]; [66544968; 10633463]; [35255395; 4314905]; [23730268; 58384398]; [59642033; 62548066]; [42109065; 32356577]; [93958392; 85201347]; [75126063; 54725084]; [71904662; 22673731]; [29347312; 36469484]; [1512546; 31786359]; [67977617; 91526619]; [19838190; 64708457]; [33204661; 95217034]; [94430453; 37816989]; [21365578; 26793026]; [90655142; 64753670]; [80309402; 9012323]; [4105434; 24673569]; [42611234; 10192055]; [61638696; 88897671]; [1131338; 50317108]; [82687285; 58638060]; [49572282; 63449352]; [26038622; 83260649]; [42902824; 54994763]; [8856760; 83523636]; [43575912; 85785535]; [52964199; 26668521]; [67067900; 28267262]; [26296859; 26133553]; [63760811; 78028555]; [47952066; 54201024]; [69878080; 89031043]; [9370663; 61001868]; [31882965; 88477669]; [50834142; 16253461]; [84142557; 60093274]; [40610776; 76363483]; [42366423; 87130685]; [12867304; 18243961]; [12901787; 90093491]; [18533498; 55741242]; [58497556; 66860947]; [88951847; 86343039]; [34132885; 60142849]; [9962985; 86282666]; [83506269; 23099289]; [71693435; 29768353]; [16464994; 30754673]; [94554650; 53089697]; [74171071; 11659723]; [87939762; 37523159]; [77491109; 4867288]; [73019236; 86383543]; [75354941; 49657891]; [31039934; 3987948]; [19871375; 68450403]; [21294207; 16470329]; [85696011; 14768383]; [14851723; 43349766]; [53563195; 38696088]; [57635735; 41420027]; [44420999; 92013012]; [51113861; 4898529]; [96823698; 15932914]; [24275217; 98927829]; [82325032; 65776766]; [90153340; 13100230]; [29165506; 43103620]; [94000467; 29350926]; [33543659; 7560401]; [20953168; 27031843]; [44066414; 41018557]; [13829862; 59244399]; [10838072; 34718404]; [24779237; 22077116]; [75198888; 97657432]; [39529247; 23513100]; [8428012; 12897890]; [81673523; 68999570]; [227991; 3282175]; [23907393; 85110166]; [32346524; 98664623]; [66228157; 80316453]; [2534613; 69495661]; [45113235; 63643347]; [26928107; 69050612]; [890884; 79494303]; [7058074; 72238322]; [33818509; 19933740]; [93765928; 50698433]; [44212226; 2529557]; [83124864; 13614640]; [25587030; 75293524]; [53463298; 2519521]; [68012926; 83019066]; [50436992; 48221200]; [95160858; 72644755]; [97370245; 96740333]; [61702860; 712784]; [8558508; 47176878]; [68938323; 14115854]; [18354202; 67653360]; [6040429; 10751461]; [92037585; 92470114]; [50690392; 60476392]; [71500445; 99829011]; [61085872; 44072419]; [2973111; 3843095]; [94358574; 83242140]; [17163660; 37209007]; [3939919; 18315239]; [11560869; 69683362]; [90616708; 37187345]; [23632316; 13038666]; [14759102; 38267575]; [34269701; 38561849]; [17026985; 3294380]; [57658542; 59688771]; [10169841; 86409506]; [91880167; 66149258]; [64370567; 74686135]; [664489; 40652154]; [66986811; 42289224]; [50182138; 78902353]; [35548362; 6679299]; [92496824; 90472092]; [87002897; 16918964]; [48207788; 51563273]; [66124121; 88766684]; [40362743; 4479444]; [54102484; 21432891]; [89788935; 67337263]; [4192631; 60397551]; [97480085; 87447391]; [92660564; 18015587]; [26573865; 80757618]; [88844830; 82843985]; [17668477; 27340032]; [81259610; 28023016]; [8211038; 53816939]; [83511031; 81466949]; [67973599; 21533841]; [94299676; 32519485]; [2353882; 36305044]; [91677761; 56226804]; [82999734; 74555144]; [43961393; 19080792]; [63240889; 46407479]; [61439794; 64236542]; [52317778; 43823735]; [54418525; 40408243]; [63735990; 29124026]; [38798008; 44940730]; [92404663; 67108615]; [57545842; 5194311]; [14602480; 17578377]; [19971316; 91909335]; [47985094; 40631054]; [40265902; 22934909]; [58028551; 81340746]; [67383837; 31944861]; [78678710; 15270813]; [36751931; 60987974]; [43762652; 19886582]; [38666181; 74900701]; [49528340; 66678715]; [13615696; 76551093]; [19175547; 50022380]; [76798196; 83321690]; [44492293; 29468973]; [93017972; 54534895]; [5916686; 92988137]; [84329292; 43538032]; [74994660; 86857370]; [46376820; 94536655]; [99762152; 14650953]; [97205960; 6028680]; [25469090; 75544641]; [3395283; 95830774]; [38244155; 92030993]; [99747250; 92610110]; [10095624; 37737127]; [72671413; 42124900]; [8194451; 37526421]; [828524; 26672406]; [60701839; 55824050]; [23634144; 40047605]; [51155412; 73834240]; [12459388; 89772665]; [97787819; 42375205]; [88904381; 3636293]; [57268279; 21937243]; [76250700; 38782452]; [60566231; 73765402]; [25369329; 2079876]; [66406335; 69137087]; [57404697; 28259935]; [92562211; 52336496]; [9725601; 54969729]; [80240794; 66924501]; [42847279; 28013262]; [89339186; 1329657]; [37169584; 66145557]; [16634973; 79064783]; [13525348; 34164751]; [28619246; 34745581]; [85839756; 52369033]; [61020478; 93993113]; [80104708; 48856468]; [29645617; 18018985]; [63604239; 30776784]; [18721957; 55571418]; [68709920; 86732150]; [61945057; 81770805]; [17933232; 40200048]; [49801570; 46299185]; [86559411; 95096156]; [47312327; 21399765]; [56541852; 36638554]; [22441813; 81957023]; [8521521; 97801177]; [92177493; 35220191]; [98564283; 80188037]; [63977825; 39029294]; [16356833; 2378898]; [45121418; 18435920]; [20300073; 80157944]; [8363523; 49611573]; [52033633; 17755543]; [27040996; 61182550]; [45749789; 7478705]; [50520433; 90997446]; [51484461; 14069531]; [70294614; 69320083]; [449919; 93389295]; [82492423; 24289014]; [41601256; 44728267]; [22259264; 40933289]; [63593300; 57996874]; [2892536; 97508675]; [52960903; 4983538]; [46951830; 44792246]; [68194043; 11650316]; [23317521; 58399431]; [83143854; 89012605]; [35347425; 46879303]; [59150199; 65643753]; [80326920; 28565521]; [41105068; 930229]; [54807871; 87819018]; [81162694; 92473112]; [39400701; 88927092]; [19590296; 47222594]; [69913493; 6831201]; [8534382; 25809265]; [82378391; 43582166]; [43104546; 12422397]; [31060400; 34928289]; [80626912; 77395108]; [34982688; 14085743]; [74909288; 95651339]; [75801822; 24209661]; [38829897; 46627535]; [20868735; 76962258]; [35330168; 43344767]; [28053899; 3414951]; [5399366; 34234164]; [90377061; 48094497]; [53182661; 94017486]; [34816895; 52964586]; [85163035; 70726255]; [33777660; 35811738]; [84313954; 11075767]; [83189985; 2130332]; [99795524; 65191455]; [2769429; 72913510]; [85851358; 95174560]; [85000262; 60518134]; [91330861; 99628844]; [78483393; 15276414]; [97258630; 71886163]; [64752013; 69548963]; [93315232; 96284973]; [35893465; 14554378]; [30425912; 69654117]; [60211774; 19606527]; [64389189; 87587041]; [63720633; 5815159]; [45127816; 96066491]; [38339163; 85878015]; [58659342; 74242347]; [10138913; 55230513]; [86538892; 32635708]; [78206635; 65703297]; [82469228; 35756262]; [98722271; 23355425]; [75440323; 56962651]; [7997475; 32791693]; [51773648; 41489011]; [35416635; 95684203]; [7492332; 44814250]; [31510635; 1215798]; [78162640; 1084451]; [41236446; 12007743]; [40621747; 80976482]; [83512381; 10068916]; [65526536; 97164160]; [52389768; 68813209]; [1749266; 87218747]; [38314849; 83476431]; [96161456; 77767242]; [59200271; 21890686]; [62797563; 76305577]; [73430324; 75687922]; [2608000; 71261451]; [193430; 8580648]; [2002938; 60950730]; [51944277; 82858616]; [69543695; 26632828]; [98714444; 5058058]; [14980130; 47666600]; [3938350; 39328667]; [30385225; 5159562]; [49049722; 38503295]; [68951482; 20029435]; [17368005; 29034817]; [12680168; 98556665]; [53819456; 40195352]; [21782916; 94824808]; [10404911; 17417820]; [75850145; 60629543]; [24682462; 65682197]; [81665506; 49327025]; [32643583; 87900287]; [48240279; 6935546]; [93089539; 82426107]; [72674718; 14111733]; [49746226; 39711726]; [7138109; 52877846]; [6704704; 44121451]; [6025797; 40839192]; [47031395; 995021]; [20736157; 56536318]; [45514655; 1177227]; [362161; 87933376]; [21426901; 38265176]; [37027617; 10983986]; [49625877; 58389129]; [72376878; 1049651]; [27313566; 3763577]; [50590181; 73242402]; [83908536; 34995180]; [51991384; 22863936]; [26403079; 53903484]; [11944116; 66278450]; [58194182; 63020115]; [9196587; 84458342]; [35121264; 93234497]; [91210805; 54591187]; [26118641; 51169555]; [37955154; 51931273]; [78303415; 16091779]; [38620712; 36325309]; [26543656; 2722244]; [86802585; 31651444]; [36439633; 63141904]; [66713821; 7771156]; [68373033; 78414208]; [60432203; 72213091]; [39723984; 43368841]; [47556418; 26230529]; [71171698; 79260465]; [29844182; 85725254]; [6234813; 95456252]; [54165220; 54014202]; [90954421; 70030132]; [16062233; 96983879]; [85922977; 9986506]; [64336563; 59309887]; [85502919; 18564456]; [81905812; 60934950]; [98504698; 23340731]; [62769055; 75043717]; [70916430; 39604457]; [51412865; 48670362]; [91273524; 90072912]; [80663816; 53248985]; [71322547; 95587753]; [56489196; 81045430]; [28160792; 60783042]; [94197705; 65799906]; [72584640; 6007567]; [21309453; 98197321]; [98979496; 72948700]; [99560438; 78338944]; [11969058; 15953382]; [38384186; 64621918]; [94494684; 39861858]; [87984966; 71438880]; [3587602; 58155582]; [54534352; 74573596]; [50693397; 47742434]; [81647926; 30836281]; [29267888; 36599518]; [72199096; 53078673]; [15923903; 55428229]; [29977518; 3633892]; [24446946; 4288748]; [21211972; 47246990]; [17636439; 65884010]; [43410502; 86933348]; [61733080; 48900174]; [68118239; 46423442]; [23133569; 28756346]; [46346017; 78997053]; [815204; 7160607]; [29721965; 53208857]; [48165776; 17891128]; [23619360; 66621566]; [98472599; 28015093]; [48676107; 57348500]; [89553511; 76081045]; [68316062; 10168889]; [40667674; 27758453]; [98916653; 22591562]; [69927719; 31833752]; [65426242; 80266506]; [50475828; 58301213]; [54925436; 29420487]; [21820321; 91011049]; [19047634; 27697349]; [35287333; 66793216]; [15869054; 58733011]; [71705662; 62842253]; [42085746; 16465928]; [53432701; 10677801]; [47066573; 39614908]; [56584805; 75772339]; [16788623; 6903815]; [56275014; 93448637]; [53703362; 7015872]; [82075531; 40200308]; [45207574; 70096543]; [44983385; 85133824]; [59562759; 48848221]; [83213474; 14066379]; [23763083; 40634767]; [81818772; 12553745]; [95788187; 63624652]; [15047083; 57726764]; [5010555; 67059615]; [7298072; 11837687]; [44381983; 88519878]; [84371426; 75534298]; [65760051; 68762652]; [2015806; 48851470]; [99135183; 91914306]; [17049136; 8698363]; [7164083; 68968076]; [23905696; 44981470]; [64012481; 16087584]; [35095434; 9765226]; [13690368; 29076280]; [84333056; 40796515]; [93793737; 27385136]; [55531741; 26630098]; [88606524; 44756382]; [36535682; 8840804]; [49312447; 2879551]; [85847028; 2026874]; [34257954; 66839480]; [73756875; 18272616]; [18326115; 1083952]; [29698308; 64737990]; [98606086; 41565203]; [21956444; 25020990]; [79398926; 96771683]; [38885151; 51697284]; [51643456; 94605088]; [51222637; 88296781]; [36179076; 8468190]; [63037047; 85820149]; [37238948; 78880536]; [17534594; 44091625]; [37533887; 84663742]; [36592166; 19858774]; [14399685; 78228664]; [78211517; 42655286]; [53458357; 55348837]; [968357; 11033179]; [19525695; 88319387]; [90558017; 34185504]; [18857283; 51822120]; [4254264; 29117861]; [74350417; 67048622]; [56558296; 22519982]; [1632176; 80485110]; [3282701; 47949302]; [13593650; 11307271]; [50543126; 57799777]; [34898722; 55143539]; [87478940; 27720498]; [62395454; 78880174]; [1309388; 47221677]; [78975762; 68620043]; [51153593; 65683290]; [85537540; 97969514]; [96014797; 19436335]; [2061223; 12545775]; [96918322; 54450241]; [42688718; 13684220]; [99075157; 27823615]; [75171788; 88698465]; [9308901; 86035447]; [63672618; 23902011]; [84719747; 74443770]; [90809797; 67711796]; [8097228; 78358790]; [33552978; 86136518]; [1793924; 28262377]; [79305710; 50644604]; [23210674; 21238724]; [688147; 48931991]; [99090868; 72318491]; [34725805; 38071349]; [4915963; 29280578]; [52664294; 16607453]; [69191619; 38091131]; [53263417; 41719477]; [56956144; 35930843]; [52365164; 39304634]; [78499390; 62132821]; [74561879; 31411132]; [56344273; 87464721]; [29546939; 20375479]; [31852409; 61628423]; [27107870; 49463892]; [90124637; 83937220]; [25867993; 41809791]; [1568730; 98735177]; [82120544; 13219347]; [99428168; 52831079]; [5616374; 18254654]; [93132920; 40726973]; [47912662; 88084399]; [21325067; 76716166]; [49070671; 10000620]; [98244730; 67128001]; [40355784; 88676237]; [15627678; 78439586]; [18770964; 8902166]; [9501787; 22986810]; [90674049; 4211829]; [58130318; 29411164]; [19322202; 60180009]; [19332101; 50612127]; [88891823; 67185377]; [20481289; 22719647]; [70903587; 13467625]; [14069702; 38383915]; [4120626; 45830584]; [13374984; 9836860]; [43320624; 4864177]; [28874212; 56734716]; [15737555; 3527534]; [30957965; 52198776]; [9744880; 95664075]; [77859244; 72016537]; [20878991; 31087289]; [61149616; 30425001]; [55688504; 48417038]; [77655641; 23798514]; [19861881; 33986004]; [93581236; 7771925]; [6640088; 58177867]; [81684865; 23859621]; [74480418; 83775527]; [7385649; 56162064]; [22295779; 76995450]; [62611442; 92734907]; [64448234; 30489306]; [72765304; 79716696]; [73844803; 96272379]; [47081312; 5335541]; [83650300; 47749846]; [71888697; 8495284]; [3712257; 28801831]; [83125637; 55145645]; [87513012; 44639173]; [47963270; 29925029]; [41546669; 63988642]; [54565879; 86504701]; [62338395; 26534567]; [33633295; 49042097]; [37143045; 14006651]; [54271251; 56288510]; [82635365; 90236152]; [14665089; 81694052]; [884862; 40983772]; [34977707; 46956815]; [53663303; 99434502]; [50376067; 98911168]; [59246442; 50502859]; [88496270; 36469881]; [20951834; 14617417]; [12500328; 42475685]; [42988548; 28033849]; [54229624; 78061070]; [51987596; 95569027]; [7107654; 61910232]; [8623833; 72780058]; [1497564; 19488050]; [75858128; 26038411]; [29286602; 97579663]; [43789438; 72885395]; [97729035; 13079950]; [81229085; 31316384]; [90361412; 37094265]; [31644519; 41034720]; [47750571; 58317368]; [36532060; 33551823]; [48179644; 33476265]; [93225770; 90644737]; [96598697; 10640517]; [13688265; 40605043]; [3847878; 10140350]; [25515897; 29641149]; [21908900; 83005789]; [50596183; 27427768]; [75257474; 25492626]; [47700027; 52640510]; [89417087; 745596]; [80415465; 37935556]; [77953084; 94132842]; [94156542; 20222284]; [83608641; 74518098]; [67012023; 63220815]; [93352735; 95585060]; [94501459; 79033479]; [10774627; 78875558]; [23094003; 52017036]; [3263974; 69904664]; [68769306; 51320901]; [27403490; 72379417]; [42221275; 36756734]; [57881351; 80716683]; [68363782; 13958085]; [80533201; 92090524]; [13502498; 85950483]; [59004859; 48826310]; [8459253; 45598940]; [3411209; 98568215]; [91130226; 81342753]; [72859035; 11176241]; [10680832; 87058083]; [41003169; 54650977]; [43606052; 40753310]; [15221450; 45872576]; [57537719; 97714797]; [49691093; 83981281]; [1640365; 46320757]; [59569400; 71887149]; [61148891; 74925476]; [54644649; 69724024]; [34019013; 13159611]; [93684563; 21321866]; [49715547; 14433638]; [73450644; 83528658]; [33042910; 54428376]; [70298998; 62909799]; [48745826; 52607343]; [7994489; 13934064]; [18740687; 61212085]; [53053464; 29027182]; [67538683; 26994238]; [23149434; 71176571]; [13755026; 93811632]; [87802070; 65381918]; [93311527; 80931136]; [92842995; 80550485]; [84592996; 60569593]; [20882389; 27584939]; [26133764; 87538704]; [11332408; 57087434]; [37071937; 68413350]; [74214304; 8850852]; [82838234; 89426255]; [81691812; 77762399]; [90100454; 62632002]; [27759995; 17746850]; [5302148; 96264592]; [23076284; 46311470]; [12764782; 88001142]; [16990781; 53203267]; [20285723; 92436991]; [44201342; 88345856]; [21760634; 48460924]; [50423305; 51889870]; [57082032; 59037004]; [54279251; 63178836]; [12143784; 52005804]; [20060066; 71650260]; [25282817; 91253079]; [11846733; 55589234]; [63809875; 95787345]; [35987020; 21081848]; [87239440; 65472672]; [56168212; 16244193]; [3212758; 34093490]; [33377287; 64018128]; [33620235; 71812568]; [74746061; 4998338]; [97247794; 94020460]; [87328605; 62667771]; [8039784; 92361786]; [57085166; 22982637]; [25200405; 13149127]; [46797042; 2284409]; [64051392; 60420560]; [84057754; 59350164]; [19967638; 38769623]; [67517003; 29006641]; [42277513; 76487708]; [37420981; 65962639]; [37080260; 66618003]; [39946044; 27416272]; [17001526; 94349162]; [41440212; 57666531]; [5591976; 29282230]; [6147866; 56062056]; [74307730; 9037060]; [91217111; 24709327]; [99794378; 51762532]; [13395892; 51042952]; [47468125; 73856513]; [10897232; 47827041]; [83082044; 51668022]; [72892697; 43153638]; [76519075; 83828371]; [71975216; 18521295]; [79680025; 8265519]; [35367441; 42754544]; [94513881; 80514605]; [61956204; 39029929]; [46583743; 11193881]; [10877970; 68172067]; [9990707; 70049390]; [95173245; 63470359]; [96340625; 63640054]; [87522317; 22518424]; [43593572; 22465527]; [75769787; 76544010]; [90120839; 34293792]; [69164328; 52094925]; [22450749; 70091871]; [95927064; 41578602]; [65023116; 69364144]; [87504637; 78104047]; [59925298; 10063286]; [72609721; 27439646]; [70080681; 83968613]; [26272686; 9222695]; [90713399; 93723946]; [94612358; 30993358]; [74621026; 97601837]; [96245720; 96978824]; [77491478; 26150779]; [55549568; 35298653]; [60616599; 17612290]; [79431167; 52119480]; [31258739; 11409850]; [84818765; 1273105]; [8672318; 68925830]; [23834108; 94600584]; [86234429; 37916723]; [48546603; 64962285]; [98245662; 32839907]; [89431616; 84154455]; [33384503; 75023547]; [25937728; 17134215]; [82019015; 61746966]; [84961198; 94480886]; [61455404; 6706873]; [13210935; 15446942]; [43133540; 33662695]; [39461549; 84948268]; [18653283; 22067272]; [80993543; 99033534]; [40921214; 35017782]; [40218672; 96656934]; [54427434; 81079181]; [39095363; 45079274]; [23372279; 34100426]; [35073726; 35257146]; [88738032; 69669136]; [19707871; 90547819]; [20770505; 73425633]; [13838365; 88084363]; [9417268; 4300733]; [16584505; 48825688]; [34310578; 67519969]; [21037671; 78420069]; [44670698; 62401351]; [86326603; 40694383]; [2994964; 68233116]; [77180595; 92048117]; [55582588; 55026361]; [54248964; 22668507]; [62230239; 62578434]; [15489205; 10531677]; [12498131; 60125166]; [40936838; 45147933]; [6700128; 2933651]; [35049143; 8873627]; [2256791; 85215474]; [77511196; 28128332]; [47228064; 68425678]; [42436912; 52053973]; [50898476; 26782318]; [71509001; 45974284]; [41710120; 14526984]; [65391388; 14876153]; [3625865; 17514991]; [71761560; 25801531]; [77661301; 5061575]; [74215006; 21816374]; [77146546; 38233639]; [16561049; 54327096]; [82897493; 90240547]; [14200287; 4747913]; [37738666; 82817951]; [81804074; 45270661]; [97505261; 38727999]; [6679463; 68632654]; [19188530; 24699909]; [86598832; 33478800]; [47241716; 60211487]; [7281150; 74017411]; [55219538; 51546522]; [58078627; 91606993]; [94357433; 2036345]; [23859363; 27693719]; [68919189; 95878958]; [74212895; 76205770]; [17444760; 24212339]; [51998549; 88786707]; [48580332; 21508132]; [21540791; 25260834]; [60108405; 74682304]; [81352928; 63391981]; [75842331; 42293046]; [95636263; 25253727]; [91231971; 96145342]; [84809276; 2071936]; [43707490; 48627098]; [89816260; 15034649]; [20885242; 33142443]; [68833100; 17596868]; [78477150; 52228431]; [14586204; 52667975]; [89053702; 21499423]; [56908286; 91023621]; [77982499; 59394754]; [16163221; 37454045]; [93232699; 28246752]; [97843639; 14034512]; [27181458; 57189000]; [12966323; 29762772]; [26731607; 32713159]; [88685550; 13776381]; [61953410; 61331075]; [97443075; 55815960]; [31460310; 41575101]; [56501839; 9678947]; [59597614; 16939942]; [10694080; 12366096]; [60336463; 76024747]; [25606210; 41260108]; [42171842; 57202583]; [98874199; 40036521]; [35979658; 5619012]; [68801357; 19559748]; [46517997; 20515464]; [26842053; 2915312]; [42321364; 88543983]; [87807980; 9999449]; [99617672; 45996925]; [93302444; 37521321]; [72156058; 56254757]; [42421461; 50991810]; [17415464; 48834073]; [5659423; 39148903]; [92576324; 44483685]; [90893184; 11862730]; [32326630; 37395230]; [27223889; 53475876]; [47562922; 47063383]; [92754276; 96772235]; [49125251; 16467558]; [31780402; 38316594]; [16780225; 85056373]; [20982810; 91248081]; [93640732; 35372546]; [19456139; 6136758]; [31280511; 96985597]; [30181222; 3195447]; [11129132; 47371456]; [82579126; 81493275]; [67338994; 24497285]; [58295212; 35806013]; [99653303; 30447343]; [62256724; 98656916]; [10251694; 52914611]; [57782464; 33552328]; [21819344; 40685745]; [56999006; 56658458]; [80857747; 15875116]; [15999891; 16793675]; [11855876; 2717965]; [33529702; 26783427]; [54019014; 34067078]; [11996906; 50606463]; [49474368; 51743453]; [93652708; 72558961]; [76791464; 30304652]; [65662418; 32326390]; [77186618; 56317182]; [1502627; 1960674]; [96755845; 57921494]; [12308185; 31783541]; [59891470; 96479829]; [23762400; 70417988]; [32076103; 62246401]; [63458282; 53659138]; [2155108; 15567942]; [55979588; 47873968]; [56646910; 99826325]; [47658824; 15901381]; [88421628; 55458369]; [60018601; 27623437]; [83828241; 13690512]; [38262807; 16075670]; [31390672; 55324375]; [38881632; 23274369]; [87495596; 12958709]; [62599954; 52345892]; [3336630; 14387324]; [93472936; 63389274]; [27605619; 55195613]; [95285075; 49738096]; [11416877; 96477129]; [19088928; 90106385]; [6787883; 6655505]; [69885910; 18827923]; [94384002; 41445063]; [59111565; 63869742]; [98034115; 39707617]; [24956168; 78050186]; [77512758; 30493570]; [81708681; 2613179]; [31673601; 57600108]; [97122674; 73983194]; [82317003; 13425707]; [83896720; 66611508]; [66562656; 28532906]; [29547070; 12991706]; [23078638; 3837045]; [82415823; 10029744]; [66720344; 99347487]; [13258027; 84291828]; [21917318; 14325273]; [21298056; 23905337]; [62935048; 32554479]; [29556119; 71330348]; [61695158; 68442982]; [80323213; 74871611]; [69408973; 42944121]; [47289450; 62292440]; [99308168; 68352662]; [45548122; 71562566]; [75202119; 89375016]; [71152810; 31256922]; [26210145; 88712047]; [824943; 29447252]; [97043857; 30377827]; [69406529; 90301702]; [49604889; 12630526]; [93330961; 76540720]; [85130263; 40685798]; [10130839; 14250031]; [39720965; 80385962]; [3883556; 63364251]; [58148217; 1770083]; [60447094; 40825161]; [73530063; 82416130]; [65448429; 62956267]; [57819720; 74994051]; [44381197; 45791052]; [9840968; 92404239]; [51765390; 78731862]; [13661059; 10008929]; [87711005; 45320964]; [79129648; 82485328]; [64049153; 42670282]; [85987359; 37050884]; [90199325; 59663709]; [45225858; 37329185]; [16499448; 4438725]; [82705668; 76737055]; [28703529; 10856816]; [69681340; 35251349]; [32842806; 55685260]; [21868660; 97137543]; [8515733; 50514911]; [65752055; 92602782]; [93258309; 4023737]; [60746853; 7640375]; [28805314; 33758925]; [9604360; 78521124]; [63932024; 4838822]; [23807717; 43086144]; [77797840; 77577231]; [47528365; 64424875]; [45676930; 64035644]; [78769254; 76180052]; [68599994; 34261720]; [95594416; 72526875]; [26030992; 48643493]; [49431701; 55312046]; [49857273; 2107421]; [1152663; 4000955]; [30426542; 45629801]; [68566711; 78398962]; [94606643; 93279839]; [66226633; 1157530]; [94798569; 37479407]; [87957645; 33303185]; [81008120; 4745542]; [8970209; 14346503]; [35708486; 36923300]; [17241047; 33678131]; [32256858; 75935156]; [16329804; 28397312]; [84113030; 38104764]; [98709802; 2554837]; [88588770; 27987835]; [61645855; 31586194]; [72851386; 29177108]; [10531706; 35460562]; [53107961; 27992599]; [11827970; 36270035]; [77327240; 39712783]; [58287556; 41448689]; [54109438; 56441485]; [94232791; 11707850]; [7774266; 46325825]; [31492122; 77640132]; [29603310; 50419397]; [95442442; 50457564]; [16938132; 83290238]; [62430825; 38753449]; [53080683; 93183236]; [15667128; 38231348]; [78595402; 42570075]; [1202580; 93320568]; [22466396; 12812729]; [24461105; 94185584]; [78056822; 42608924]; [79095340; 71126521]; [19382933; 60797027]; [17329760; 9156047]; [93905519; 87719586]; [33101372; 85180987]; [35130976; 73416417]; [24372223; 20961139]; [21507391; 86613340]; [45580246; 32280040]; [50734015; 64036038]; [48345814; 34459079]; [81144911; 37484489]; [8704039; 59995829]; [98481286; 97342223]; [11530533; 21112597]; [56639078; 6751874]; [94651645; 25379594]; [29750576; 61273732]; [77791605; 78667855]; [49186887; 34754664]; [8517443; 63565151]; [68315041; 97196738]; [58442487; 67872128]; [65978827; 68895861]; [25775629; 81186502]; [45316465; 67110247]; [69703486; 595616]; [73087180; 98390889]; [1553220; 24401276]; [90775813; 29541602]; [87158889; 91408398]; [67574595; 39608976]; [38273084; 60016351]; [14519757; 58912932]; [67768958; 65567746]; [11474224; 82591724]; [29641398; 64469825]; [64816001; 53187328]; [20901980; 81570027]; [27819562; 92979215]; [49405174; 14388437]; [57731194; 67902995]; [81369374; 2935660]; [4359602; 15806555]; [70154609; 97942044]; [43179462; 47093435]; [31052943; 78891874]; [98375569; 48696450]; [29381644; 81927340]; [70419324; 5063754]; [23460071; 51028246]; [73860604; 30714500]; [10526537; 91594692]; [91548451; 35932254]; [59367022; 20607633]; [67165019; 55912862]; [56023422; 53375512]; [49366340; 89413256]; [81550491; 59164637]; [90425400; 12619510]; [8811427; 69545060]; [12371356; 53912192]; [55925011; 91104129]; [85085840; 32351187]; [27834629; 69341369]; [32720040; 6449774]; [13286802; 3946033]; [768992; 23150881]; [39516923; 86074229]; [82955596; 34881743]; [93923089; 86824047]; [29552282; 81843016]; [24777424; 84560797]; [74996304; 46214747]; [24759634; 72730268]; [54511187; 61943183]; [60007525; 25855109]; [22945763; 15382677]; [40602903; 26739860]; [77344215; 67041970]; [57090662; 78426536]; [99968576; 65181814]; [39394290; 3637560]; [59330484; 6257687]; [14726622; 94254374]; [59467592; 62167910]; [60693821; 9548032]; [66199725; 55808131]; [52687588; 54980571]; [8988840; 56539906]; [86861903; 88703418]; [92257074; 64347027]; [93778189; 55680604]; [79147404; 25857968]; [78965099; 25355125]; [71725454; 13801873]; [81224976; 65160951]; [95614597; 78890613]; [18114313; 13401886]; [20433117; 11658826]; [84414080; 86614827]; [40988324; 61549956]; [76752814; 98568097]; [41079500; 25520326]; [39442362; 60410521]; [54863384; 83838191]; [4877132; 45815223]; [31801283; 20281644]; [87920509; 94522005]; [9268985; 67456970]; [23000822; 48615910]; [7535290; 15936072]; [70111712; 82836543]; [4736547; 27992776]; [33393762; 57164370]; [28716315; 56047373]; [99197161; 26081671]; [7575163; 37397556]; [38862242; 57263397]; [38339360; 78328840]; [64382789; 86630653]; [38273239; 2735302]; [5317867; 41858881]; [67675143; 43733494]; [46968772; 98706730]; [1273971; 19138094]; [48450540; 41859830]; [56527527; 25278296]; [27474611; 56992102]; [48226211; 43856601]; [56426615; 75035856]; [71724472; 98711860]; [73116266; 70502093]; [97216663; 57049243]; [38805470; 40844993]; [5417492; 64438848]; [20845199; 39694494]; [92930605; 18474874]; [28545452; 73714927]; [73453654; 16672340]; [86061230; 34062920]; [6576562; 12326061]; [61566359; 88900726]; [61955158; 85479259]; [89857576; 68724804]; [33889096; 85328356]; [65388152; 50418683]; [30633056; 66002717]; [41485648; 77622234]; [77074257; 38516429]; [42032433; 85835012]; [64070275; 10251953]; [39833635; 88884552]; [68941353; 37927248]; [13069384; 70416480]; [52530060; 41627156]; [7599617; 91292549]; [74381005; 39975769]; [16417768; 29353865]; [9816279; 6599280]; [94714905; 6969667]; [60728016; 65540558]; [69803969; 2463295]; [54110683; 64288464]; [83558626; 82060176]; [69556665; 86969167]; [4192499; 98436614]; [71183758; 57785470]; [35039990; 46180091]; [60530463; 50963300]; [54255886; 18873119]; [71905567; 82036971]; [1081001; 75689468]; [67070224; 16917164]; [54858877; 40618458]; [20302795; 95372602]; [22275598; 55621453]; [57559251; 5200432]; [97325544; 28795399]; [99841030; 29371093]; [55975917; 23334889]; [44402456; 70691748]; [86130328; 59710531]; [98112225; 46857228]; [7111190; 30573931]; [82770110; 83776763]; [7997280; 94713386]; [59441688; 64313602]; [83784672; 53612536]; [72063489; 37040829]; [99654278; 99599722]; [19348213; 7653839]; [23611698; 64470188]; [56429622; 43912538]; [88502785; 40907690]; [95588973; 84286829]; [34295400; 3265759]; [69633688; 59760823]; [84143422; 68081978]; [32884644; 8683524]; [64506230; 80683537]; [68761403; 900429]; [15070031; 43870392]; [46501482; 56933557]; [87005265; 64320594]; [94538481; 27390483]; [22954841; 94837709]; [91651308; 84232754]; [99567557; 49192667]; [24800256; 88733266]; [86065280; 24092618]; [42964891; 53807592]; [36982924; 63935049]; [1163743; 59020714]; [31500619; 61881869]; [52137261; 76638912]; [81126130; 3458331]; [61403772; 88407770]; [7212964; 9628631]; [79384204; 45443388]; [25764822; 27966976]; [99446144; 54283793]; [57038942; 39519831]; [80403121; 1677492]; [1598737; 15843696]; [67783108; 41789827]; [41857911; 85615893]; [47542395; 73008895]; [20068114; 5423255]; [15243103; 55326011]; [48485093; 3505901]; [74623368; 19637651]; [73177744; 3674883]; [68689223; 61035526]; [62478815; 14389513]; [54098901; 15747703]; [92545936; 54896865]; [3454984; 22102908]; [67024236; 28636911]; [1339922; 38542775]; [77442278; 93688739]; [34110348; 52036098]; [54251545; 24136131]; [48487319; 21611708]; [84285629; 23183136]; [87677605; 3396559]; [77077343; 33970020]; [68059401; 7894251]; [97061941; 61439987]; [42557598; 75093023]; [62375088; 87687717]; [31620955; 31570779]; [87018527; 9207571]; [13820006; 75488809]; [11121169; 86312903]; [82229212; 80674852]; [62720559; 70331321]; [50675124; 27903010]; [76895227; 81008072]; [58910002; 65588089]; [48711720; 27937511]; [46220880; 23701039]; [79658583; 83256267]; [91788776; 83474880]; [15026454; 96719185]; [98562739; 93753406]; [91250824; 79099730]; [72683883; 99085621]; [82551246; 77650162]; [8700456; 66156658]; [53380673; 62013890]; [27808172; 34382598]; [69359306; 90702295]; [17631143; 71219856]; [55885275; 50618048]; [94068590; 35468367]; [94416550; 77896196]; [40838064; 70140551]; [45613212; 73357039]; [65131803; 14419758]; [9514454; 96563273]; [17279486; 37626235]; [45801751; 80217936]; [55256978; 66093081]; [73112789; 10262565]; [52630392; 47001380]; [75616394; 30268693]; [3342528; 89450776]; [43519964; 49858410]; [69933761; 53950496]; [58600147; 88578782]; [50514718; 75012960]; [7643172; 302014]; [38356423; 88238893]; [91903544; 69291217]; [51689305; 28637411]; [64370746; 41029601]; [77052518; 72156033]; [61387008; 13501343]; [23557567; 51637127]; [28057678; 66790704]; [28237122; 78643400]; [82156348; 17254497]; [51846072; 68802391]; [8399756; 12624798]; [65090396; 40416155]; [99949807; 84256140]; [16502240; 1419925]; [50208582; 50818604]; [1961583; 93164819]; [28829756; 35590448]; [15965564; 90645593]; [56024806; 23426852]; [85603748; 42794385]; [18807456; 85011434]; [12742439; 69260258]; [98600600; 96062295]; [855019; 81059541]; [35831267; 30901362]; [99261789; 47650143]; [31058359; 22636079]; [73800088; 51904611]; [6719960; 45320646]; [9818774; 38268591]; [8278300; 15332944]; [55994653; 59319414]; [41639991; 62901786]; [25622033; 37063657]; [45618396; 88782817]; [64694369; 31992675]; [49526144; 56769836]; [54132211; 67761520]; [63020762; 89102219]; [97586797; 33521182]; [70932718; 43207302]; [38499648; 51034542]; [73234093; 80533150]; [4730147; 94736295]; [58966779; 30526792]; [50365518; 22693134]; [93564487; 81501089]; [66060018; 37251837]; [65249865; 95025809]; [84861699; 18517130]; [62907266; 7842321]; [80618378; 79580484]; [69561792; 69592873]; [4417566; 46868855]; [36801508; 95203970]; [11407214; 73867544]; [88821756; 53106075]; [61661580; 54247928]; [84166232; 13524309]; [29875997; 61627555]; [8121308; 63719690]; [41933860; 66913325]; [17804658; 39867725]; [4128287; 24448800]; [73675158; 62578667]; [20080751; 29733832]; [61800080; 48261217]; [28938227; 85126968]; [75424621; 48099780]; [70427395; 62057043]; [78500707; 91848902]; [72434164; 26186203]; [44893166; 5899444]; [89700141; 54615687]; [431722; 42918261]; [1908282; 46736806]; [29982346; 57396532]; [61781971; 48604034]; [82898384; 71934258]; [17039974; 56115722]; [10286899; 90408245]; [14345275; 5431850]; [59929729; 51489116]; [19827856; 14807424]; [54061571; 87566998]; [3027599; 20749075]; [59683354; 86867447]; [5695; 58257617]; [72815675; 5176601]; [51458141; 57811469]; [96593212; 79546853]; [81224303; 42221913]; [65027070; 53392935]; [74143255; 90702509]; [3304311; 14918089]; [67478214; 4138775]; [8655002; 49228664]; [17067488; 45402696]; [7338178; 40383230]; [29632980; 96534886]; [83114573; 920847]; [33306900; 8895473]; [43165001; 19814304]; [89160230; 49474751]; [91613481; 79899131]; [27609298; 73641112]; [37283685; 13871060]; [91592070; 94142277]; [32327553; 96328809]; [74952329; 50489]; [41387474; 50016838]; [80485317; 46363806]; [6125869; 5562859]; [67522985; 47063139]; [11389896; 34918264]; [51523240; 70174813]; [35552092; 1922603]; [72227678; 63940054]; [24478399; 58978972]; [872979; 86261851]; [11887797; 38457378]; [67890875; 45146466]; [29311800; 96164394]; [54195101; 64236170]; [69024491; 20879106]; [2825748; 98304648]; [67564442; 24872343]; [41915633; 7854193]; [12372966; 48303027]; [53470933; 16700261]; [30835166; 86821602]; [81206081; 90186003]; [82043332; 40763569]; [20210173; 13729167]; [46662353; 39389742]; [2631528; 60472066]; [87101300; 22561553]; [10067947; 36688152]; [88963734; 89504300]; [75429148; 50332184]; [17587005; 70428926]; [76351968; 28167148]; [48930257; 33979604]; [48145556; 74761759]; [4046458; 77232555]; [59301612; 73410826]; [62365246; 63514349]; [31949943; 80771251]; [70310258; 24369149]; [65236461; 66240097]; [77027690; 35870139]; [54892914; 17127875]; [45550549; 67673155]; [82931930; 57517202]; [94358018; 69269562]; [87529214; 68460336]; [20844568; 68510995]; [77696179; 52983833]; [39665984; 88417150]; [44832077; 90543269]; [44151889; 39137248]; [96023915; 46082836]; [68638968; 80560814]; [96208264; 20101002]; [46357276; 49724514]; [52778163; 25951097]; [18428773; 53178958]; [30407287; 20774111]; [26175170; 89100351]; [80822589; 44222545]; [55403927; 93446452]; [27422009; 21759771]; [43317419; 87623328]; [93989482; 10770370]; [20863325; 26371813]; [99299320; 15325886]; [25145698; 65981835]; [74364670; 60362621]; [1133598; 57340675]; [38516568; 88522955]; [87643796; 98580324]; [11912203; 66020649]; [19176432; 36129131]; [72915830; 35790131]; [73561480; 69837817]; [90791903; 28680257]; [77378267; 65441547]; [40019901; 90860449]; [49714403; 92195142]; [34209448; 9459993]; [15691872; 15971357]; [31790618; 78051535]; [74942182; 56726489]; [80428237; 1305107]; [27977202; 36377907]; [34243724; 47066547]; [22854328; 27163363]; [96163528; 39716395]; [22675841; 55273875]; [17579666; 42617521]; [41183057; 49944348]; [98967750; 88980128]; [56349250; 95745991]; [81362594; 26933666]; [12336255; 10479987]; [19142617; 84101026]; [73710694; 15494467]; [24698010; 25399457]; [1689024; 32642085]; [81834670; 25898516]; [17602807; 87812063]; [67481974; 38283781]; [77898079; 36298093]; [37964638; 71689322]; [10084416; 42015655]; [47953110; 58194486]; [9918158; 5874520]; [69263287; 77349011]; [70631041; 29228909]; [84575623; 88107286]; [95348046; 21357938]; [10449377; 51777915]; [95605495; 60112771]; [95029057; 32112786]; [46064763; 87585986]; [35483062; 3147420]; [55637399; 87725920]; [62002798; 69644887]; [8483517; 82879268]; [32998090; 44777888]; [48807073; 65564106]; [25999432; 3337022]; [32229461; 39764843]; [28141181; 84108466]; [50286920; 79530823]; [26762314; 82384601]; [19033912; 70674532]; [45486780; 76873949]; [84439966; 41466373]; [56795502; 94958742]; [79077893; 46762368]; [94099865; 84035027]; [40436260; 86501921]; [52535545; 75517700]; [32696028; 95864501]; [86290321; 92327668]; [94191843; 58005771]; [95056381; 11103570]; [5105885; 75430578]; [14051534; 97181748]; [18839673; 50913544]; [43529774; 88205717]; [13686627; 73570116]; [29133573; 87378767]; [26383304; 67099527]; [84183690; 21524582]; [36166279; 12535242]; [12857218; 88462416]; [53901377; 53971740]; [36673994; 53424765]; [67387413; 61738410]; [9222877; 96731126]; [50899501; 74813976]; [32475426; 90242071]; [56342509; 58147979]; [21424925; 81990218]; [67496654; 67010035]; [32411546; 17333661]; [97996318; 35356816]; [91491101; 67621139]; [23304852; 97700009]; [59180075; 99509809]; [47105992; 83084984]; [65628529; 83647536]; [68367551; 65599229]; [95365586; 9430331]; [81860238; 43378624]; [80735608; 56421859]; [66509028; 92672218]; [61652763; 29617169]; [6980158; 10342586]; [13952719; 62992380]; [44770964; 87420487]; [31015331; 13589402]; [84619411; 60050986]; [73539282; 96928666]; [81000412; 72210278]; [82383877; 68306113]; [21008655; 18841837]; [64446321; 24000864]; [7803901; 26126069]; [23285368; 54749633]; [59605535; 35772920]; [40409262; 19166586]; [76102756; 13263798]; [59451495; 96523118]; [47130355; 2431479]; [81681104; 11839944]; [25459329; 35440122]; [77439391; 11214183]; [91971924; 88744755]; [36328997; 94768946]; [6110504; 88594484]; [65738892; 20764995]; [84821501; 58643406]; [17597307; 40575785]; [66900816; 16260622]; [96788326; 88750119]; [75045953; 71194833]; [48988063; 84832559]; [53663955; 39523279]; [24635682; 68162075]; [84672420; 1130111]; [64426877; 98199616]; [76746597; 21319426]; [28460044; 91934897]; [50289295; 6369587]; [77676774; 91584962]; [16518258; 86805138]; [25962322; 6896492]; [51314150; 18758266]; [19090121; 92774405]; [86575273; 85715214]; [97862923; 55761715]; [86406485; 95780322]; [97261244; 50604874]; [52427184; 7551096]; [90124188; 75335787]; [61253382; 81101179]; [78272291; 56204462]; [63724156; 46484024]; [31401086; 47069467]; [48249428; 45570192]; [9827574; 14670340]; [10490553; 50749362]; [28370604; 89922114]; [23889842; 9149176]; [69785186; 42538690]; [3360572; 54841181]; [95089266; 35492893]; [59505453; 69126931]; [18582169; 670948]; [70436285; 73289750]; [82723226; 66207097]; [90705722; 46571696]; [62402001; 98727177]; [72301205; 10894304]; [3559446; 4902883]; [58627333; 41119219]; [25591203; 28284112]; [40511595; 83557153]; [76254521; 62539141]; [4333178; 74242499]; [51493443; 79128842]; [15452681; 22671521]; [80578101; 46511757]; [62442220; 27765937]; [79218302; 21277280]; [74196958; 30536833]; [56644834; 34041737]; [84345047; 87944580]; [6508252; 34590877]; [75832691; 17051251]; [34533621; 45411390]; [41999297; 7431291]; [22456322; 49413417]; [1070272; 24923878]; [67950474; 920049]; [32091359; 75345190]; [74431623; 69614591]; [85341269; 89956706]; [66311154; 24072982]; [88250105; 61553923]; [44634810; 5705846]; [74151999; 16029858]; [38404641; 63228078]; [83530303; 30693260]; [88763248; 11766413]; [7893635; 56832646]; [80498757; 44507541]; [90937430; 46655113]; [64050371; 32793453]; [16789435; 16529535]; [35399310; 24629065]; [80639538; 89738522]; [25663402; 36636547]; [88947135; 64465192]; [38911223; 15224192]; [44240337; 92102194]; [33608492; 97360768]; [9382352; 70291380]; [16162871; 51209954]; [23793843; 21119979]; [19907947; 14552331]; [30649172; 85957337]; [47477982; 52745992]; [6834930; 33806616]; [79462613; 59584584]; [12564043; 96286791]; [56233473; 32166962]; [38140778; 71302615]; [49931456; 98125863]; [76068989; 7060837]; [26579674; 85204155]; [99259593; 98889748]; [45749816; 42215196]; [59430275; 63577802]; [13977277; 60056472]; [17032558; 42372369]; [94745881; 22333838]; [54074331; 72053575]; [49772377; 44808903]; [19466647; 77380216]; [3019139; 61512385]; [7000448; 64150834]; [97632156; 43085811]; [82986187; 11794850]; [99727283; 34821127]; [21112205; 90870505]; [7267821; 4929875]; [5617117; 7263171]; [41037286; 25232727]; [77908398; 4288261]; [69530554; 13064765]; [53788821; 41358487]; [36787940; 48370224]; [7068474; 50012453]; [7721718; 11510105]; [22826056; 33269389]; [97905608; 20607913]; [51699187; 38907496]; [20679641; 27414664]; [22434020; 99172203]; [80367341; 95507189]; [78235522; 38500934]; [14707729; 19015223]; [16611626; 69270037]; [67737320; 53066285]; [8273613; 11714651]; [93441488; 10288566]; [39153789; 40424440]; [33899154; 10217100]; [43600767; 658837]; [58562398; 62038364]; [34596955; 16516511]; [63616254; 93560421]; [6192729; 84724444]; [96803139; 16778041]; [69819259; 94140322]; [1627287; 34681758]; [60503137; 22084695]; [7253875; 34414041]; [50637939; 82137934]; [38217718; 5130265]; [9287164; 76840429]; [68392480; 55829118]; [83823667; 26790835]; [471245; 27730698]; [7945240; 17834227]; [52677885; 79563146]; [76891248; 25573443]; [20161665; 27974427]; [18806843; 38544787]; [44395096; 45606055]; [2890182; 99853790]; [30711620; 28663006]; [82119314; 48239409]; [16563967; 57008388]; [11010594; 19915511]; [91801889; 74258321]; [72226407; 48189874]; [77236629; 62474625]; [60850726; 52296711]; [84464106; 94190545]; [36473172; 89588557]; [98132701; 810633]; [63916199; 56845364]; [84343533; 60996605]; [64849120; 21947479]; [64367434; 64036089]; [19580013; 87066654]; [3562624; 47638659]; [86710926; 8046376]; [39313682; 33017906]; [10744365; 66024771]; [24688749; 7158129]; [33551118; 3781832]; [5855074; 79236961]; [44941735; 65610558]; [39006423; 32056399]; [10742899; 50967913]; [56724481; 71780696]; [65859619; 4906162]; [22655557; 70376204]; [77877815; 68393283]; [23828537; 2157736]; [24736287; 98865543]; [85051559; 95989619]; [36885186; 50763833]; [68660748; 69237208]; [31245185; 1817063]; [14594441; 90569982]; [92100327; 78566051]; [20507510; 18227411]; [54487574; 14412362]; [60771516; 58590425]; [67854942; 69073358]; [44095078; 24201654]; [5199390; 41382164]; [36872609; 54930031]; [60705317; 44193836]; [82037645; 48594649]; [9542631; 74030541]; [38095165; 3830872]; [13102714; 18000879]; [38396038; 72725029]; [49308450; 78589434]; [48578768; 86091413]; [99545791; 38780211]; [31786535; 64490868]; [9265407; 77861623]; [4979302; 12482238]; [9455879; 96557527]; [34221728; 34005404]; [47690999; 99390140]; [49130581; 17705872]; [38596357; 22066174]; [53916555; 1556994]; [99839365; 19059757]; [58711193; 17273738]; [615187; 73654556]; [80981459; 91460735]; [86512987; 75283854]; [68778530; 87077702]; [80073162; 58407673]; [51964702; 77725569]; [59659048; 26290407]; [58716412; 30538564]; [79520189; 4545426]; [25607502; 48396940]; [3454923; 95030030]; [5184195; 38310227]; [70411850; 54035589]; [34769461; 37767122]; [30394969; 41905926]; [45210787; 49039293]; [27375742; 10601253]; [26857796; 35444773]; [27796846; 320521]; [50556507; 3467886]; [2842852; 853504]; [76232117; 73953351]; [5861994; 31944950]; [23316363; 88789351]; [7361041; 82477450]; [58645643; 16354960]; [43923615; 37155999]; [35712207; 27710674]; [84983340; 58726899]; [25297294; 60335865]; [65584945; 99262361]; [22347960; 68952592]; [83272233; 64789397]; [75065293; 49795759]; [88861460; 12048091]; [94983102; 72893398]; [19265917; 55409747]; [64887751; 52546598]; [2428735; 73563285]; [69551213; 53723912]; [61276149; 49229496]; [62792922; 33329246]; [40423637; 62362396]; [26389356; 98842533]; [72037993; 62288159]; [54545675; 12168863]; [25935444; 79531419]; [77976350; 77745778]; [25144460; 32860997]; [85138875; 26215618]; [36929440; 84162664]; [48929474; 13563927]; [72690305; 83541515]; [72205325; 79372429]; [39979710; 28654782]; [51119764; 28918299]; [97621957; 93660731]; [76620134; 3737579]; [99481548; 54277137]; [29160752; 25848010]; [95744067; 81418710]; [80705837; 47698821]; [36328256; 33594905]; [55902996; 66195854]; [55208297; 42062070]; [77894993; 72460935]; [24513986; 56894980]; [44306413; 96396323]; [52127559; 71002937]; [2885863; 15003243]; [42602561; 4241103]; [42451692; 4914651]; [32479726; 6931080]; [81699833; 62346279]; [89935700; 65309506]; [28104656; 13293084]; [52480688; 36611321]; [93252448; 80834464]; [87947906; 52585340]; [43520806; 12931897]; [29003826; 95344064]; [38837172; 46406010]; [81512071; 80171955]; [31473900; 98815918]; [10261886; 64924534]; [66190350; 88169142]; [34862330; 86905915]; [29032859; 34178902]; [90317639; 80737414]; [71111283; 59896950]; [14374026; 19698938]; [21603683; 33439888]; [47575322; 91577593]; [78228185; 37592513]; [19834029; 23897976]; [12542126; 50097884]; [56529267; 7100178]; [10455502; 7691635]; [46944684; 1081216]; [3024227; 24847733]; [15333410; 30792138]; [96314287; 34674162]; [66733417; 94195732]; [22433549; 38160459]; [16658523; 56260757]; [75224248; 86525535]; [23889943; 63818446]; [72967459; 40325057]; [51473024; 73024074]; [66857583; 52197402]; [38058893; 26448714]; [93107967; 66198093]; [78031306; 83706335]; [48445033; 15514416]; [72545322; 2110383]; [93132922; 54298776]; [42956808; 22148899]; [41253146; 75117847]; [64022035; 84207570]; [90152783; 54787394]; [95445364; 29092969]; [59699399; 65767026]; [99240340; 17008161]; [5815023; 71917860]; [50372325; 6185281]; [25637510; 88207750]; [88023415; 10255734]; [76216692; 34616537]; [4498200; 43853081]; [59858941; 89259896]; [51193699; 46137862]; [42423814; 7283462]; [98544379; 87023293]; [73050189; 64761507]; [15357569; 94393334]; [91181017; 23969047]; [46582494; 38854014]; [26764297; 44596159]; [98743914; 68522297]; [25548354; 45786646]; [71283300; 16255638]; [26708150; 921109]; [38272137; 8659877]; [72215794; 28263685]; [48847945; 33038155]; [75996750; 66157052]; [94564981; 68288111]; [82076759; 77171621]; [80893495; 43091988]; [97693042; 27876886]; [14549079; 88687187]; [40672585; 21869937]; [10081335; 15339567]; [72727628; 72518865]; [48575074; 91104138]; [21201430; 80192560]; [78153952; 80543478]; [60981984; 34379154]; [44991544; 47610705]; [47586537; 30125387]; [77470794; 75032221]; [22077013; 83193108]; [88967262; 45165702]; [31060750; 72500526]; [26904921; 98107961]; [49575103; 37592149]; [13070710; 13546192]; [45965618; 99357042]; [77412696; 92346642]; [42307916; 37342810]; [92578010; 18099423]; [54075624; 63592621]; [79899681; 12054275]; [25018894; 89029249]; [55814515; 67524744]; [62182886; 10974597]; [64721689; 15168231]; [6343329; 2642439]; [86813466; 33196425]; [3983763; 90069184]; [22708071; 77607920]; [61642776; 64446778]; [96615315; 67166016]; [64816291; 69500796]; [42242423; 6876269]; [56508162; 86524440]; [33239898; 57557863]; [74937377; 90546598]; [19363740; 22208762]; [56434138; 37416633]; [63086931; 17666478]; [7850090; 41202932]; [3189966; 73924238]; [92385756; 10085495]; [68547830; 381576]; [36162116; 75881459]; [97890845; 87515114]; [99393320; 51608012]; [26627274; 88901319]; [50092717; 17950563]; [13066496; 34722948]; [64355121; 20234076]; [35425307; 2531572]; [24461435; 20953803]; [35360012; 32880362]; [26757230; 95967872]; [91671471; 93601255]; [67505619; 28488093]; [17536312; 32788329]; [50370253; 55230072]; [43937569; 2508656]; [28920133; 76169798]; [5829660; 22505010]; [99546180; 62448288]; [64746822; 89137145]; [61701470; 31600277]; [96474506; 19136469]; [21804321; 22351556]; [60958927; 47078841]; [57768749; 74348944]; [19679173; 81420174]; [80959259; 38972866]; [3149610; 14624472]; [78963167; 2754466]; [5825251; 51749375]; [24063259; 33185288]; [64818250; 84053742]; [45965857; 91377815]; [10563762; 63327508]; [66843009; 16813920]; [50529532; 19740960]; [29670885; 82698685]; [12359634; 20553802]; [87489900; 4677318]; [67371062; 6471897]; [30292078; 63783982]; [4867425; 75518790]; [18404406; 61295538]; [69863499; 15716328]; [32921281; 38902065]; [13634143; 11805281]; [67324759; 75984397]; [69993604; 22459055]; [51938542; 6510802]; [64818318; 11964591]; [76338600; 83853020]; [1493361; 37436541]; [27180744; 60394374]; [1217832; 69877080]; [40741774; 73848731]; [31985680; 27970229]; [95353636; 62113729]; [44715082; 9792501]; [27062322; 18993169]; [62120494; 4650820]; [41811064; 27003376]; [15664338; 51459884]; [95901500; 78560856]; [86719238; 33092461]; [21990672; 63954290]; [1294794; 48845582]; [6406491; 71794223]; [3606528; 56026839]; [36616734; 12702230]; [74150140; 62227134]; [6721751; 52705297]; [45435108; 46578661]; [41406610; 5229306]; [84851757; 1944078]; [86480830; 27076960]; [98116781; 43209422]; [86695838; 76157819]; [51133424; 76451359]; [94330248; 54065197]; [12144672; 88935598]; [67828503; 31181607]; [23844056; 17398023]; [7151735; 73500130]; [60683171; 6302978]; [98053016; 62020216]; [98480436; 11751538]; [72575969; 90241142]; [71669573; 28988493]; [49429644; 42136828]; [21451695; 45897967]; [56805351; 67257573]; [25135489; 87697511]; [77532154; 82566115]; [55287995; 21551859]; [92449609; 27114548]; [97258416; 57029763]; [90860263; 47875214]; [53444104; 48782689]; [25705741; 51152926]; [55705177; 87668109]; [41809585; 81383511]; [31411874; 50758493]; [83036869; 53200116]; [21960308; 11206238]; [82222834; 37465763]; [4417232; 33234529]; [78914105; 51573367]; [56877246; 70129586]; [60680481; 53307390]; [180288; 23148335]; [69726487; 46136523]; [77308821; 35643638]; [50942169; 76712201]; [65151496; 52907407]; [95086128; 10053434]; [85172662; 49214913]; [13029357; 84660836]; [59105297; 93782250]; [92650422; 41902472]; [32565185; 38467958]; [18765954; 7202374]; [17830316; 25232859]; [77651615; 98442658]; [94319966; 93120304]; [8243295; 86734574]; [90986477; 81494587]; [57835382; 34632200]; [69848099; 17014047]; [26651670; 41680046]; [90526249; 77219226]; [26612087; 53541382]; [70984080; 382857]; [28815470; 32562812]; [16103912; 43815618]; [92843804; 17951875]; [43358737; 24807496]; [67694526; 7281447]; [99681353; 95283808]; [81135694; 15741364]; [62697709; 14963058]; [6032775; 46956265]; [59057953; 80718311]; [47230759; 39584433]; [23255029; 18391687]; [17531131; 97324292]; [29659323; 3243730]; [88959963; 29612901]; [64750394; 57194567]; [21707813; 23792031]; [40611111; 76889628]; [18476914; 88162105]; [34029608; 91268518]; [65301287; 54594]; [5385857; 13295199]; [12463625; 96471127]; [40478996; 25521421]; [66433685; 67913449]; [88202981; 52032462]; [6010128; 31802492]; [11942052; 6596082]; [61550662; 91836778]; [36813453; 91110005]; [22540138; 1833373]; [80276726; 50594288]; [45805174; 64946228]; [42912545; 91712160]; [86770126; 61826188]; [39945978; 48712478]; [27383152; 3376451]; [72687207; 83409608]; [38306465; 63689935]; [58865953; 69911840]; [68513042; 99170395]; [77140156; 76509182]; [32608960; 83149075]; [59556357; 46780933]; [39414900; 16363316]; [60591297; 15881752]; [35973288; 62061343]; [52589351; 74674796]; [70380070; 47158185]; [27432315; 90966160]; [88253522; 42437689]; [56128479; 18081740]; [41892146; 40698839]; [97373063; 63836004]; [88401172; 20444743]; [16552334; 62154314]; [23264810; 15304464]; [23846170; 2130161]; [95988205; 70937901]; [42186047; 96894810]; [7326330; 49048911]; [51674071; 22134840]; [19958047; 18207797]; [10998295; 79207104]; [55393805; 77805523]; [9289452; 18252110]; [1493958; 71712384]; [12919225; 56861344]; [51107941; 25640472]; [57984361; 90436645]; [19185242; 87093543]; [49226386; 27836833]; [39061175; 19935834]; [1290187; 39739155]; [23705170; 42929260]; [9286176; 19436006]; [40686991; 93985602]; [81250842; 67229182]; [97908937; 1588794]; [26152281; 3702850]; [92028470; 32635860]; [44864702; 53860936]; [16234543; 68027014]; [95250678; 5653353]; [92443651; 2701777]; [83427577; 51932345]; [40899667; 69190608]; [60811950; 51768079]; [88966960; 57730350]; [1752298; 70643382]; [72562320; 84744953]; [272378; 61622758]; [64800083; 11105555]; [28111177; 16577649]; [50250790; 13483620]; [47535931; 86151421]; [18196384; 54643188]; [88435051; 79395193]; [11978252; 33974505]; [4515605; 59246415]; [15615721; 14972255]; [31745915; 40076721]; [53636556; 86044926]; [19111326; 68147029]; [82614542; 48756489]; [51132268; 20791369]; [59355665; 14224618]; [37501619; 11626576]; [4116528; 76070557]; [28483530; 34039506]; [3907722; 32780037]; [42038281; 36161371]; [25994776; 51013996]; [38298093; 44799808]; [8901923; 53577626]; [47918752; 8228455]; [45764536; 66831034]; [45130586; 11878584]; [89873287; 7081196]; [69999853; 87607586]; [22972688; 96535392]; [85250468; 98515923]; [1539721; 30356043]; [78105117; 22078198]; [44384952; 69931197]; [697456; 11361180]; [48755004; 38604900]; [1686314; 19153464]; [67933488; 82343737]; [45926778; 65138384]; [36335299; 94031255]; [57361164; 43845976]; [77005806; 81946529]; [20341866; 2140456]; [53526088; 97037379]; [55254325; 16823021]; [91245673; 496738]; [88948114; 39136825]; [98063425; 12034135]; [7655781; 12022756]; [3728113; 35983701]; [49891602; 8983667]; [68179092; 80415516]; [90242378; 26437076]; [51031582; 658045]; [41777045; 85680896]; [23603393; 75297652]; [42598358; 86002197]; [54784649; 10505370]; [96278097; 98222297]; [1122927; 88828519]; [45104229; 81459363]; [69157812; 72897590]; [29044977; 10595356]; [3890186; 99537515]; [41829092; 7566526]; [37021556; 74193971]; [20372187; 44415117]; [48508970; 45207953]; [20203500; 10803835]; [19636899; 64483071]; [9568033; 72858465]; [5501356; 15261175]; [74849462; 41037738]; [41721948; 44622350]; [33339712; 87197193]; [98732699; 59554023]; [82043336; 13738881]; [82687374; 58297651]; [26361284; 41833724]; [39213773; 23921883]; [16267780; 32152835]; [48489606; 15660093]; [57041882; 48365179]; [55424746; 3726227]; [72662227; 62889473]; [63257382; 5927416]; [22640049; 73187086]; [69370039; 35544745]; [14114792; 73351996]; [56808598; 10048444]; [2396491; 92981848]; [64532570; 70315442]; [37532271; 66758657]; [28331081; 41219996]; [2224264; 95352777]; [39867757; 37108553]; [10226570; 14551206]; [63821171; 33060995]; [97518102; 10278466]; [83193255; 5206213]; [87422470; 97796076]; [37245345; 54541624]; [86266395; 23476510]; [91580926; 62456760]; [65953471; 63351653]; [43303184; 79160308]; [84064629; 8195053]; [36087897; 93288103]; [75050239; 83444883]; [2838585; 15038999]; [4961105; 95749106]; [89322015; 92542489]; [12863061; 70136048]; [71003671; 51840928]; [58522821; 55327353]; [2890689; 92422295]; [18935871; 69564704]; [25383295; 38032456]; [74758913; 43992922]; [97521121; 21030697]; [82215256; 77081592]; [41422818; 69485886]; [92033002; 46880585]; [54741382; 5112312]; [36784407; 33967689]; [77136166; 53252032]; [26525152; 66916756]; [17773299; 57604170]; [96740942; 44975930]; [95000261; 57797588]; [53456274; 17297970]; [25772365; 48831820]; [36547013; 56401657]; [30889767; 99363053]; [95340499; 57601630]; [6283047; 24659385]; [88341272; 78556656]; [97653077; 18206648]; [82283411; 55258792]; [88497659; 18756110]; [19281589; 5038352]; [11583596; 70386404]; [74672054; 29222439]; [9739037; 46417129]; [94846285; 71081594]; [54932502; 98313537]; [71649311; 42991142]; [71692418; 88820264]; [34160207; 64771030]; [18349909; 86171469]; [89238266; 13393988]; [65191509; 2487074]; [88054416; 80218742]; [72352236; 7573334]; [78770879; 58319736]; [74654621; 73136797]; [33346493; 87659108]; [19780166; 29002478]; [56527101; 14312893]; [12998052; 22467288]; [47980876; 76097522]; [19858619; 53562866]; [2539448; 27110525]; [33140286; 47350008]; [61682286; 39951231]; [11266628; 65029386]; [69203985; 54774553]; [28988250; 61101621]; [92899750; 36769441]; [32864670; 52221034]; [14077849; 89655474]; [87150663; 41942355]; [72466844; 42461164]; [97154539; 94598591]; [48688226; 64332983]; [71827431; 86609030]; [50277321; 62913524]; [35077868; 98540686]; [98747410; 34468558]; [55003652; 31231544]; [39377268; 8436156]; [40189907; 89340910]; [46853734; 79619599]; [64532191; 89962952]; [61628526; 41461721]; [15780525; 241855]; [43170315; 44486072]; [48877320; 86577844]; [68941091; 86142753]; [42508932; 18719179]; [18159831; 77741389]; [49479984; 93628304]; [78918325; 80890704]; [38453503; 31043695]; [59142251; 75361407]; [97525; 53812897]; [15663664; 21129821]; [20736826; 90107229]; [63150426; 9762637]; [28631337; 91042151]; [37105923; 99206513]; [91486628; 42661962]; [96464979; 18395125]; [72848013; 32740947]; [58658327; 61764927]; [38075721; 98287101]; [92339636; 48194697]; [48351272; 67469699]; [51126828; 81376208]; [33819131; 68163331]; [87239073; 6835725]; [66089315; 50028446]; [34755518; 25713386]; [1640037; 45506218]; [74211485; 72620582]; [26407712; 45950984]; [4087305; 15727811]; [96745162; 53536356]; [60009595; 97088808]; [33295164; 89817827]; [64173759; 32724778]; [21235517; 47461036]; [63725405; 10080645]; [5379911; 9267580]; [56452563; 50944461]; [65667438; 82814489]; [36494794; 72188245]; [10059895; 14829427]; [7554674; 45038275]; [57155442; 13432031]; [40795416; 49613929]; [69252705; 76675447]; [8005723; 89645975]; [89875902; 25519521]; [61043128; 70073981]; [46363785; 10935635]; [48599806; 19736750]; [43286195; 88659327]; [7285753; 38873838]; [88534557; 31991271]; [35566867; 23003568]; [85459994; 54565607]; [7994554; 2816693]; [28388161; 36659810]; [40339679; 91969203]; [51372551; 48424339]; [27716733; 19937386]; [95746681; 95316814]; [39332188; 21282496]; [97319845; 32012864]; [55957308; 83919791]; [39215273; 18952097]; [64896402; 5332615]; [15156149; 43577783]; [55942912; 61701095]; [90348170; 12538102]; [36990299; 56487273]; [94713223; 96887148]; [34952729; 4016452]; [23207627; 25281610]; [79825270; 12671154]; [89124055; 37276780]; [28382885; 71593295]; [40359216; 23858145]; [99631982; 12010048]; [17786795; 18524213]; [21836207; 32872522]; [33476203; 46837426]; [13968469; 5068513]; [5009903; 58388842]; [71465887; 10328273]; [62483220; 88578740]; [37064298; 21189228]; [38354295; 47891369]; [28387667; 72288016]; [79891549; 42552943]; [42773142; 22473788]; [58899191; 40634145]; [78231182; 17093056]; [92445977; 75002755]; [90414655; 56167158]; [51669777; 41167459]; [65417856; 79730186]; [65450989; 48448743]; [75587669; 85363682]; [78875065; 89972098]; [95989390; 23326055]; [32940915; 30609551]; [2749902; 10839975]; [24232187; 69168981]; [94129442; 84413208]; [81638860; 94347090]; [83817386; 76652290]; [24942087; 35760921]; [56687042; 75488123]; [42840942; 52015048]; [22636310; 75158610]; [46319179; 45620119]; [79216083; 27296329]; [47776080; 480058]; [48350309; 96052299]; [75492281; 24721543]; [95462063; 86793075]; [38797086; 58734765]; [63107003; 4432040]; [7743256; 14053728]; [61363360; 55549678]; [33128330; 71882607]; [63095422; 47057238]; [10777535; 44857430]; [60750002; 69420887]; [99558187; 70698566]; [87593532; 38091371]; [31907604; 32123342]; [10093053; 8964146]; [90657432; 85262355]; [62078955; 22514684]; [61671685; 16061074]; [79304311; 53211153]; [54804294; 17432649]; [40224541; 14367327]; [76817508; 54987913]; [79766401; 53832699]; [57422965; 49950873]; [31542860; 55641485]; [27147813; 2402912]; [71335370; 91374150]; [82012900; 98976811]; [35874337; 86633437]; [18628954; 45980943]; [38028378; 76045272]; [15770549; 6653983]; [28326836; 42901454]; [70690127; 738557]; [15018999; 78013467]; [49988728; 39784106]; [5257357; 51843453]; [36932790; 64919809]; [5762144; 8135842]; [10421396; 62593716]; [10704368; 11105988]; [31939258; 19986422]; [40852842; 69910696]; [33570901; 27508515]; [34036013; 35011262]; [67117737; 55984965]; [54730096; 50221921]; [11268874; 34851578]; [67435810; 32126249]; [29425345; 97257929]; [36137760; 76590641]; [26915733; 34462661]; [59617487; 87677881]; [95530993; 56602368]; [49601846; 940014]; [67091601; 31423586]; [67123046; 89752972]; [68004834; 88873780]; [66176548; 35425772]; [84998315; 68588774]; [67025565; 53745248]; [68162896; 51660367]; [3072589; 39131019]; [51577525; 89531127]; [76728718; 79441551]; [38547451; 9318386]; [38832311; 13867790]; [98688719; 27567805]; [73376168; 22027633]; [25484462; 36597801]; [63331358; 91765702]; [33606648; 95782729]; [53520083; 73109229]; [1197600; 12606691]; [87226614; 37289973]; [2645356; 65277694]; [97926690; 54948740]; [80423082; 17109904]; [74234981; 15781995]; [10430412; 90220317]; [7240910; 36718402]; [65701811; 970568]; [44997180; 92506486]; [50129986; 3071680]; [27653373; 5539781]; [88181982; 63346148]; [13855062; 85869980]; [8718285; 5256230]; [6798209; 72458214]; [63461197; 33322518]; [39684429; 78732390]; [78765981; 36983591]; [60013702; 74656115]; [37059075; 63417046]; [21288209; 6485392]; [24108160; 13411760]; [78624646; 23611099]; [38163544; 2069859]; [31634746; 25734682]; [56815577; 18903631]; [12756303; 35628865]; [11323973; 45193111]; [85019304; 68738774]; [91710058; 3451909]; [83384430; 56264409]; [54565574; 59152196]; [11221152; 88908668]; [67422270; 74722124]; [9415298; 6778333]; [59539361; 30234948]; [79886658; 75103648]; [2474029; 68785592]; [34580776; 39991940]; [84041525; 65946125]; [74257926; 36501365]; [56105179; 43815211]; [53482096; 59333081]; [39817362; 60880679]; [99563226; 34522455]; [89664242; 4437285]; [2733329; 83077637]; [96150918; 64678202]; [86300190; 10941011]; [3924647; 88515685]; [65100912; 2711769]; [45209421; 78558004]; [12388758; 52484640]; [46527920; 34768358]; [44247692; 70917294]; [36789333; 90947175]; [37121769; 16675489]; [67657856; 36791191]; [96479723; 90024787]; [78942793; 11059964]; [25716232; 65668332]; [36457796; 800561]; [43820085; 53964781]; [41450298; 69980491]; [45238327; 33074873]; [14058129; 71026851]; [36846643; 6294578]; [50265369; 23577874]; [24220314; 43837310]; [43124970; 29706869]; [36824652; 44442686]; [65973875; 89503417]; [95355227; 4483399]; [89698193; 46931772]; [48537093; 49643531]; [82291178; 3522926]; [86077557; 16506383]; [69512269; 32024942]; [14675785; 76890481]; [39916671; 79523171]; [68517840; 18656924]; [13880842; 24209295]; [97518727; 21644143]; [99286424; 82599219]; [36917506; 43572280]; [88214459; 34391742]; [33894355; 23198997]; [29628544; 10787671]; [95656002; 55466396]; [58379551; 64537436]; [78838807; 41077372]; [60749271; 54178917]; [23976984; 10089104]; [26340016; 52514296]; [67777847; 32756562]; [92854656; 2493050]; [86994537; 42294129]; [79494925; 23857568]; [48076185; 45927353]; [52201839; 58012461]; [30186376; 88269068]; [77525815; 79772640]; [43479568; 32189794]; [38789259; 10465701]; [15229473; 45027130]; [96432594; 88202153]; [73657188; 23423609]; [89409964; 84695147]; [51497634; 26919457]; [98636649; 17182311]; [81974203; 82089740]; [78001207; 95296228]; [91164978; 98603756]; [59424276; 41025155]; [46895863; 73525957]; [42411711; 19257368]; [815609; 44897298]; [57711439; 65825907]; [59210928; 27431941]; [91773347; 75749809]; [86741646; 57777053]; [52394372; 76765610]; [67882953; 73880021]; [10970159; 55260702]; [87675549; 250562]; [1117502; 90564020]; [97210429; 74507033]; [79481553; 94396039]; [87396109; 79786292]; [16597491; 78759443]; [9077342; 76194392]; [90020291; 75401430]; [88164757; 99725609]; [25856915; 3042737]; [85349191; 51496743]; [47410934; 49156116]; [55405795; 55387882]; [82324252; 89793987]; [91287805; 60603116]; [97845140; 10840928]; [45873548; 1170494]; [83647720; 14807237]; [79244673; 54882372]; [27017100; 79068067]; [81475482; 11179221]; [97363169; 60200666]; [49897112; 76692352]; [62506520; 87322712]; [40762716; 84448908]; [97918781; 55709037]; [6444603; 62304500]; [62454612; 75211023]; [93327630; 31664624]; [4575865; 36582245]; [44296746; 67124687]; [86915; 12332092]; [46026995; 20675987]; [21818322; 27353228]; [41235811; 54491010]; [1263173; 5965348]; [40745177; 33060909]; [24319382; 44502872]; [9730601; 71566654]; [980329; 41893164]; [47872927; 26522923]; [4938780; 43837390]; [23947237; 5116211]; [41957953; 89876165]; [94884816; 13133415]; [87767398; 42213262]; [65559580; 78335237]; [81270343; 15841604]; [36143056; 93351712]; [25701707; 30368818]; [6428143; 79304940]; [37103286; 29236018]; [10911119; 38414517]; [83899342; 22407648]; [93939927; 70381829]; [9428966; 549184]; [97040752; 39974435]; [6633278; 49530402]; [49904306; 24393891]; [25945132; 82041214]; [87578203; 75984340]; [74783948; 95301644]; [76800130; 3557534]; [43305546; 13355557]; [15721286; 97382118]; [16164896; 29680578]; [92657632; 99187968]; [23041021; 57288496]; [20865141; 29489674]; [29546698; 20804569]; [82215809; 96985657]; [9183365; 47781160]; [6818258; 57584096]; [59094934; 8300636]; [28749569; 29633656]; [14974382; 21924972]; [97304836; 83852256]; [80973631; 223314]; [33442582; 99740436]; [77653822; 19614652]; [20289471; 77887419]; [98495074; 46873825]; [12921769; 40290771]; [41776706; 80348953]; [89548282; 10932997]; [17885536; 57092830]; [31214963; 66738930]; [47660858; 22635017]; [13901729; 49613584]; [6708075; 5411694]; [96920383; 65570158]; [64176219; 51636027]; [20932808; 54587589]; [25306280; 45447188]; [92990852; 24691972]; [8702257; 62435577]; [91741096; 91789532]; [26173073; 18785621]; [20400070; 7771910]; [10080435; 1338568]; [90171642; 95192273]; [35849415; 51175359]; [70122873; 13099441]; [63277125; 19381381]; [13709549; 38845698]; [77127529; 83652349]; [58413045; 70243264]; [52244955; 19031660]; [8880546; 38643197]; [9413831; 43408376]; [40347541; 31309243]; [33251498; 6939188]; [34450903; 69978424]; [667478; 35711727]; [26462886; 91481027]; [20657151; 81523172]; [70823266; 99506277]; [6604423; 17219441]; [94630009; 44909890]; [5232768; 96321795]; [56047745; 88319068]; [24111495; 41387233]; [32720349; 66105893]; [33620040; 4148200]; [57186961; 99084300]; [86674653; 46983420]; [58997842; 41228633]; [90571261; 73482818]; [18742360; 32460488]; [16014715; 11161401]; [18403904; 75287046]; [68917846; 89874394]; [22128445; 31856650]; [84291470; 84505262]; [58952195; 21984207]; [21043324; 85949888]; [11905901; 82870864]; [84174971; 47704120]; [82192065; 2831133]; [26585877; 27849372]; [15396527; 59984844]; [6375041; 6341533]; [24784602; 22205010]; [69125881; 20373593]; [29661786; 76479930]; [6656319; 54057211]; [84568453; 68426648]; [75779206; 51055914]; [61111807; 25615094]; [53738959; 98555573]; [51074870; 91601648]; [77280156; 97140462]; [67944618; 69722970]; [94694441; 32968101]; [35939941; 94452737]; [82078185; 77286415]; [23693064; 87685863]; [96730863; 6792282]; [87028023; 64063647]; [71694220; 38721495]; [36177297; 97665664]; [66018055; 30614777]; [74763740; 30461803]; [84575401; 36450880]; [48975042; 77689672]; [65944949; 31042176]; [78764002; 7328607]; [69602666; 26576151]; [56412171; 36727298]; [59966549; 7467773]; [24085416; 21826525]; [48750189; 80229148]; [53988901; 38572206]; [36152173; 71237413]; [12152217; 87507985]; [4449750; 64635883]; [63884720; 51784585]; [7459242; 55195822]; [12791201; 35411142]; [45799878; 72158711]; [69264537; 46186356]; [99254415; 83036171]; [92416971; 70309795]; [39383150; 39008375]; [99365963; 7841246]; [14555036; 92995639]; [6703099; 65578158]; [95728642; 68628954]; [74700095; 2924316]; [64169592; 85888288]; [25168320; 50961123]; [44387454; 3300359]; [86408398; 45259879]; [81021570; 48349711]; [3909670; 28483399]; [72519675; 8485481]; [11437575; 81504728]; [30388331; 35492502]; [52462819; 71911418]; [77863982; 51761988]; [43025506; 70833025]; [14471190; 93757459]; [43396873; 3775337]; [79986640; 65616452]; [56837396; 5917748]; [36906298; 15158214]; [89273708; 24678573]; [43365395; 55953650]; [76254770; 97167897]; [65637746; 14993871]; [84545490; 11400687]; [96033555; 23360595]; [84822971; 44735542]; [96012368; 28854824]; [78673665; 22865632]; [15595475; 95411770]; [3798326; 31369289]; [11775668; 18410395]; [21733586; 11298544]; [81450013; 98016551]; [85163392; 72011514]; [19470022; 11897333]; [69162432; 14718714]; [25435209; 14604600]; [69262524; 56521094]; [89026946; 77545309]; [22333897; 47320996]; [11749235; 43720404]; [42358548; 71164442]; [6111827; 11884381]; [4089134; 47891179]; [9789761; 19040956]; [6514430; 40010787]; [61919169; 23787888]; [79615949; 52118206]; [77250337; 33591289]; [23493374; 16667525]; [60005408; 3584902]; [50640621; 9003166]; [26382004; 84949357]; [19980839; 58224110]; [43670344; 662308]; [43298179; 84162657]; [33873582; 67519363]; [36817385; 99985951]; [52464219; 62975977]; [51475168; 22138582]; [56278457; 87289536]; [11815977; 94719489]; [78310836; 79064219]; [36784371; 22048164]; [71424483; 39081120]; [14151329; 6072377]; [38445532; 94572450]; [46588911; 64902755]; [19369269; 51090467]; [62157392; 34085030]; [86515843; 50567852]; [69185638; 28825020]; [2554227; 13945886]; [77424192; 18909414]; [20001112; 3157008]; [27035430; 69327437]; [52468264; 88518109]; [77382941; 82494689]; [55443808; 3892620]; [67681304; 24745032]; [36572081; 83896745]; [59167687; 76005998]; [5076030; 57396197]; [69581091; 47116002]; [2134570; 90671964]; [85679860; 57079336]; [71114189; 34832245]; [50687294; 45688648]; [99818368; 59037391]; [22205303; 73648037]; [51033961; 85406412]; [41911384; 79026382]; [34684215; 63479721]; [5573862; 59341779]; [53194110; 27836066]; [76306133; 11935073]; [7564368; 39335076]; [6000356; 39073948]; [5920497; 79097695]; [9272797; 61027135]; [89654236; 61962876]; [7094546; 20186753]; [831725; 71074049]; [2226158; 41360752]; [8330836; 3274366]; [55459547; 29214023]; [10513881; 24571668]; [67090141; 24474596]; [84525702; 84592724]; [40110600; 38434039]; [76105608; 66937849]; [64337912; 64325037]; [82320900; 89689427]; [54511883; 16282489]; [96658262; 95219033]; [37095631; 24329753]; [23974358; 43721611]; [85002544; 63915539]; [67871193; 68819091]; [83469484; 39828281]; [79013493; 19447069]; [86955213; 66489997]; [75450641; 10612750]; [7591187; 84738966]; [49101761; 26162325]; [40500115; 47121664]; [53766321; 81995008]; [66690851; 98398705]; [63047264; 11745778]; [96274086; 10942410]; [91259977; 20271338]; [85935491; 41428892]; [36265035; 12112564]; [24237177; 29061797]; [61278574; 29722691]; [98322573; 18025384]; [44500957; 76042440]; [10965060; 48642582]; [53487147; 99767650]; [56800019; 47454099]; [7324205; 30090550]; [745710; 959286]; [40853561; 61239844]; [80968726; 85988366]; [42891973; 62471417]; [98868686; 24238975]; [8661122; 17285408]; [74367942; 84738766]; [30575073; 17991967]; [93412421; 80703950]; [10308053; 57158631]; [42881419; 63733416]; [10481367; 61291774]; [483124; 49649517]; [61836563; 52106387]; [44216783; 98889060]; [86706704; 27723940]; [58657216; 68961432]; [79087821; 19657751]; [78732958; 17053666]; [7547910; 40345278]; [47007723; 30198058]; [87055097; 36801913]; [78551310; 49743932]; [139259; 3437557]; [46948169; 25415206]; [7843133; 4760792]; [38996186; 93991240]; [25367881; 6056248]; [49539045; 9596325]; [83461890; 68320793]; [20530101; 39253913]; [70541166; 91273787]; [38150038; 94444605]; [2470926; 64900607]; [31422110; 19078291]; [93574541; 22867377]; [98788383; 50478837]; [30582923; 57711193]; [67570779; 84473991]; [81735759; 49624278]; [90444899; 79186061]; [14181808; 21283323]; [71079399; 79383777]; [40783520; 85788347]; [4328431; 27868010]; [56876818; 57456734]; [14036743; 39884347]; [27995211; 25012526]; [63151655; 49246685]; [62604954; 75396726]; [42108030; 3766579]; [93529535; 95864174]; [9885617; 83589163]; [36222732; 77153193]; [79982917; 96831519]; [15697714; 98598157]; [8827892; 45932508]; [40048538; 71458398]; [82308599; 54388697]; [15209598; 28986487]; [85209516; 36500112]; [65012097; 62761626]; [35014112; 9432272]; [8116367; 91889055]; [78053798; 47506229]; [99219893; 54499983]; [52816795; 43758447]; [60314712; 31526383]; [53135649; 53705881]; [37788100; 81481635]; [27313678; 61268886]; [89535264; 1931787]; [86940829; 83641388]; [50258105; 84797492]; [35474337; 63919745]; [6085855; 96000434]; [11914139; 17408498]; [43768328; 18105832]; [41022044; 12216531]; [17659928; 26616595]; [94460730; 901492]; [94157832; 20516792]; [93117136; 64863770]; [58830770; 98024789]; [70036826; 21464231]; [46223096; 4343929]; [70755832; 25837028]; [39673562; 35938948]; [19240451; 23888403]; [81648066; 2260464]; [22815820; 96973464]; [47659276; 26295257]; [50354529; 18429797]; [29800727; 98378480]; [47778846; 43920618]; [12492394; 95664091]; [8775413; 29094963]; [56298930; 95735033]; [78185166; 73032810]; [8799308; 86927284]; [8116585; 40438334]; [96714256; 42543314]; [8879461; 78229665]; [54819135; 85297406]; [74023200; 87961326]; [15028941; 73982091]; [37756796; 13942635]; [32838436; 96742799]; [36976356; 34562757]; [55735927; 38843196]; [66958574; 59192611]; [50897141; 4380548]; [63050969; 67147746]; [14850983; 28237221]; [29125498; 73791322]; [5082502; 51497305]; [45625244; 11389680]; [55151826; 90648103]; [37437158; 72197377]; [26374880; 1855018]; [26381355; 14401843]; [70481350; 36067086]; [60217736; 42442389]; [14909590; 39542242]; [2298403; 30703032]; [49366446; 34270103]; [67484963; 37313930]; [43058342; 69993484]; [94618416; 11997797]; [85406447; 21967885]; [91932225; 78243765]; [17347765; 70398524]; [78730636; 88480964]; [86279959; 44047302]; [3428547; 54925300]; [53891212; 8805374]; [53909088; 38722417]; [82289844; 79337097]; [36131545; 11029857]; [9795799; 62704672]; [77650599; 80525653]; [89780736; 61996338]; [27153194; 75771846]; [58703467; 59675844]; [12529664; 37703380]; [8955919; 493251]; [67217810; 25450401]; [49638078; 85209044]; [47980808; 56699384]; [16541667; 58406854]; [76686190; 42891930]; [53343580; 7092043]; [58332237; 12279703]; [21452372; 80569059]; [69641050; 35329310]; [74751740; 20688175]; [65516018; 35706332]; [31848616; 29568590]; [63178586; 84382150]; [47539114; 75203530]; [6116170; 91124346]; [69766303; 26213931]; [61953301; 91109490]; [96398204; 10713077]; [36426261; 65829018]; [98262215; 67959578]; [18759187; 40206320]; [58097327; 28359377]; [21813408; 73190234]; [64927630; 68505124]; [12862395; 60375279]; [50469410; 60385623]; [27067817; 90587460]; [25846430; 20081613]; [51676041; 37443813]; [10088265; 16441500]; [59833561; 96357164]; [35904395; 64798119]; [27745630; 2760398]; [84684013; 47986404]; [25890213; 70085780]; [52090128; 18032170]; [23756179; 90663119]; [71171020; 63937294]; [49518807; 95098525]; [67087102; 8982389]; [23819452; 7765885]; [69764561; 9518546]; [95432293; 42823963]; [47399885; 67842270]; [56384538; 52164887]; [62721878; 93745461]; [91759938; 36788036]; [71745058; 4408505]; [7513934; 54240427]; [52853576; 27619658]; [59230393; 64983153]; [23144431; 581939]; [27723533; 45717506]; [91403407; 82673268]; [67165372; 65914649]; [36292048; 57198709]; [86921171; 51352775]; [41605604; 78736736]; [80119450; 31921190]; [74201181; 33095447]; [43845594; 85112843]; [15796091; 95612030]; [68049968; 98528121]; [40058467; 10963351]; [32529307; 47944178]; [99852845; 90649481]; [35202048; 99333881]; [50689603; 42676740]; [98180951; 36914552]; [37222388; 51537851]; [12953260; 50078304]; [67257075; 7635785]; [69951480; 61821682]; [7994248; 20105037]; [46027875; 28290072]; [98245690; 80328152]; [11243580; 80390107]; [86676980; 38545588]; [39716688; 47806423]; [10301376; 93070876]; [96396237; 37698670]; [84580449; 3779299]; [35752041; 94135888]; [91322822; 48042465]; [15501409; 60899525]; [13910171; 39939764]; [40801342; 203109]; [60834717; 65353671]; [42632433; 6762195]; [19203899; 27272258]; [20570811; 82648040]; [83465574; 31400098]; [11206832; 90109642]; [9455450; 33401233]; [29144486; 88989902]; [35936756; 17379135]; [3606087; 98088583]; [23722896; 67636232]; [38432930; 62975316]; [80945029; 23397428]; [81949744; 43725831]; [58421554; 24153826]; [7549971; 38298808]; [67726949; 66900743]; [16807734; 98802525]; [3201989; 32738979]; [71857724; 30820240]; [52095372; 28125542]; [78020015; 97429324]; [89373723; 49048062]; [71373332; 69694666]; [26516468; 80599478]; [37043270; 26457435]; [84962004; 26057085]; [3727072; 38595766]; [36055726; 65527489]; [43310518; 90701701]; [9872303; 20531733]; [81735460; 20079038]; [96140073; 44775061]; [54849305; 57797115]; [31136723; 7878765]; [9574283; 35348494]; [55416626; 36706167]; [15746953; 67129203]; [63163791; 89910987]; [16335656; 67649685]; [70058979; 14202837]; [3680458; 50226245]; [77560646; 37777504]; [18259561; 3220805]; [74218605; 32943467]; [9213607; 28591596]; [37494161; 85590130]; [89023892; 11180177]; [97443616; 61593072]; [9377702; 9788576]; [60444329; 52019608]; [419137; 14243801]; [94876975; 45659476]; [66750272; 12898846]; [37078125; 88222454]; [15665645; 77455094]; [28274833; 4989745]; [59343170; 82816970]; [76451102; 50216178]; [97131942; 53371262]; [32501421; 72454091]; [4944984; 45318950]; [26440954; 14742705]; [44088554; 19287587]; [16700767; 20039957]; [37215429; 18035007]; [5848751; 88104864]; [12417467; 45803466]; [96075668; 41509428]; [53493910; 35280709]; [52158663; 23473058]; [92066331; 60637091]; [42820118; 6877699]; [31241872; 36768164]; [20513176; 35065574]; [92003489; 36261685]; [34571450; 65156441]; [44210533; 12469671]; [53436994; 48552281]; [34454218; 40389714]; [76567608; 14976684]; [92364081; 43506251]; [759645; 23256729]; [28791534; 28267158]; [8172857; 18714095]; [75393337; 78161933]; [66225455; 3767698]; [52277723; 54804238]; [26257917; 63480102]; [28665988; 52851589]; [67986669; 13463088]; [82684831; 77603260]; [79985681; 84043634]; [83195957; 31964984]; [68367372; 82701245]; [82833469; 42410422]; [7468996; 25573828]; [97633891; 26723536]; [23421515; 95742126]; [1525366; 41033223]; [53116853; 64694403]; [77222902; 89659035]; [17891922; 56617778]; [86275839; 11315717]; [5439429; 51815902]; [18111566; 82418251]; [20637718; 63660425]; [70283684; 62161182]; [9098208; 23464999]; [84691698; 18416970]; [39265097; 72449363]; [35747562; 85634978]; [7277341; 87217109]; [68059298; 23854916]; [96533249; 26124239]; [56917438; 5030611]; [20508774; 62189453]; [18905470; 55317563]; [20084973; 53827692]; [4672007; 61768459]; [40046891; 93017473]; [8230380; 85968922]; [91663815; 54348577]; [97588939; 91437988]; [7268894; 29333203]; [37822130; 72165607]; [86500648; 85273415]; [97201376; 53698351]; [11448461; 68853885]; [59330830; 35568586]; [460622; 24989828]; [51308608; 16350687]; [14446356; 45528794]; [81979116; 62346060]; [55208706; 39918952]; [82846107; 4244365]; [23296959; 86829572]; [48261246; 44813996]; [9382267; 63353481]; [62627520; 98243621]; [1369046; 87201616]; [95188555; 39934739]; [98913314; 3521162]; [55641080; 9399466]; [36517105; 82172270]; [8360330; 80227457]; [11044325; 42211024]; [24557184; 73549590]; [63964741; 18903146]; [75399028; 26405502]; [39287190; 75955677]; [50881053; 88122520]; [55349864; 90846940]; [55031899; 86931876]; [31669376; 86129381]; [42523108; 91259933]; [85316924; 7678551]; [48192015; 16794169]; [5057788; 36650595]; [53118935; 16702547]; [15002553; 31332326]; [4427253; 80704895]; [34089351; 67168136]; [6873410; 11614119]; [51033012; 32882187]; [76526085; 49554681]; [93591884; 55806840]; [60981087; 55512882]; [41899887; 80309728]; [49760273; 25905633]; [55896351; 61808960]; [97608976; 95703743]; [19154071; 68122751]; [26359706; 74029262]; [61653076; 72118781]; [19017140; 98381868]; [15815016; 43404922]; [59202738; 29430343]; [93349307; 49681918]; [28473218; 42771974]; [55052658; 78923384]; [21160967; 81248004]; [27646286; 55276612]; [2853729; 53314454]; [77027812; 40836575]; [65467700; 222618]; [91501859; 91593296]; [61383881; 32368057]; [67187527; 15079615]; [17042764; 7967413]; [47464808; 11673419]; [58537887; 13983114]; [44635443; 7014097]; [85104548; 6756916]; [64783094; 92908806]; [97023453; 82216369]; [27300816; 23389839]; [7540645; 72529474]; [36525129; 87771380]; [49844168; 82628681]; [53451773; 22052252]; [79591382; 49453633]; [52219485; 2613467]; [48329203; 8965634]; [78185010; 39722983]; [32420895; 69453343]; [53507606; 20344951]; [21126020; 91935069]; [87692404; 55316340]; [14133328; 35239449]; [36765618; 52296943]; [14614705; 45242646]; [96832784; 69401469]; [18393136; 43725972]; [1068631; 72541347]; [70081481; 85533134]; [8601841; 79721811]; [12578188; 55985326]; [66024149; 50552320]; [67379570; 12654035]; [46804446; 94951000]; [31554340; 33974246]; [85418898; 27972004]; [68163369; 19188434]; [3508275; 61556337]; [36417877; 84863215]; [96501532; 12058926]; [62526245; 8294356]; [56115521; 8638265]; [96446156; 48858786]; [78913717; 2838276]; [23372190; 43765819]; [12358018; 78407388]; [82407610; 8651201]; [24810640; 57675401]; [37789840; 94384062]; [13924037; 83376882]; [14935763; 81716863]; [13878369; 81130400]; [89289379; 56162537]; [35116402; 40084961]; [54216633; 90089553]; [22809220; 92576035]; [87589240; 13349624]; [31004228; 19047862]; [37523064; 39923565]; [54287465; 31625258]; [23508208; 90612201]; [62043733; 68319025]; [44983757; 32228579]; [17872082; 94628252]; [24022315; 6546435]; [4068515; 1765562]; [15329116; 24623791]; [22676735; 96598594]; [10646925; 23073654]; [54602505; 13035795]; [32301695; 86653386]; [56142328; 41019809]; [97045786; 73943549]; [82487661; 54364058]; [87018878; 42610725]; [91294671; 89375642]; [16830681; 35248951]; [10347221; 9350249]; [96920816; 37877584]; [29126217; 70008074]; [99743458; 71182536]; [33436266; 61402306]; [83359204; 40488799]; [72987496; 71453969]; [32222986; 91746488]; [79276722; 33477469]; [99265859; 18838205]; [30559470; 87362333]; [70404176; 44866164]; [92817581; 8068562]; [50518651; 10223808]; [53697395; 22252887]; [89809479; 52034038]; [14263655; 60322960]; [80899532; 296647]; [76805703; 95949955]; [96515733; 93979529]; [82979498; 54491882]; [49295023; 79617981]; [67328389; 25161153]; [49061238; 47077816]; [30156981; 14359547]; [16602657; 94337985]; [53254253; 65215332]; [18888700; 95818452]; [29019452; 84452041]; [62724830; 10771251]; [27538469; 68106225]; [70713506; 41529096]; [74900693; 44457566]; [41349791; 2033529]; [96813197; 51350812]; [5096820; 86527957]; [17866632; 18772017]; [16640285; 23739165]; [7858879; 65754361]; [83785268; 17815991]; [16837937; 37311350]; [63770258; 38194688]; [23262772; 67775370]; [71372613; 32536702]; [40001801; 39567765]; [46975466; 24860983]; [41655980; 89263320]; [64945490; 83628113]; [49100408; 98819695]; [30063372; 95464247]; [43842523; 29255090]; [25724964; 91389537]; [9020832; 25783292]; [57610350; 42380264]; [9455770; 94677877]; [30613772; 46534664]; [28342624; 15122284]; [18493688; 24776651]; [22949685; 40182698]; [57878148; 54921856]; [52666780; 46439615]; [77345287; 21612592]; [14839542; 18216684]; [40676537; 20574856]; [71238953; 59762774]; [4871236; 95567484]; [25732339; 41744345]; [52641660; 34454870]; [23737246; 74041885]; [84332123; 37851246]; [91199840; 30976384]; [12386021; 45064727]; [67473988; 49485054]; [43502641; 11774760]; [51888283; 84571814]; [45376397; 75369668]; [65851001; 94862684]; [68289455; 7339322]; [60802025; 87901569]; [92642834; 49647621]; [35556565; 28547414]; [96588798; 16513840]; [31329607; 69353535]; [81788146; 73459590]; [57450202; 49991929]; [89145087; 27340755]; [38860532; 16233298]; [5970520; 84691382]; [34661596; 35008560]; [54484931; 23977438]; [35724080; 50888124]; [18596237; 65584066]; [43490602; 75465888]; [94848835; 45436095]; [13264861; 53659655]; [89605723; 2091701]; [44103976; 86342374]; [58578752; 23443769]; [73463310; 42826071]; [16754796; 61864268]; [89831087; 66156853]; [22713992; 54599825]; [26787766; 74947818]; [55081339; 71416982]; [46023161; 12162234]; [26349717; 31169240]; [95955605; 3654341]; [16908932; 14384412]; [85252978; 20918487]; [55461905; 46511929]; [76878384; 64890056]; [44555862; 74213776]; [19717637; 57004981]; [64252268; 56516032]; [52492332; 82995781]; [22183386; 36672713]; [84266238; 86968020]; [61630988; 21560476]; [84880413; 66912221]; [44283819; 64308784]; [70699906; 11044574]; [21842249; 56126663]; [42564074; 75062144]; [81396044; 57037701]; [91284297; 83944990]; [8016233; 95017628]; [41945277; 64005852]; [94388287; 59687725]; [93539955; 32192724]; [2189661; 73044880]; [67802175; 38201909]; [95143523; 75477105]; [12988741; 70513771]; [94233450; 91677419]; [21496360; 55768331]; [83310916; 56063121]; [60919284; 26595078]; [27560313; 598633]; [88348215; 67153954]; [78475747; 9989502]; [27354224; 73941635]; [59340125; 32134834]; [93383804; 62299572]; [24494283; 6356560]; [19121390; 92511236]; [53553870; 9408282]; [11394790; 68043362]; [45074860; 11583234]; [533107; 81917707]; [57359439; 88882897]; [41691420; 27561698]; [45372069; 62147440]; [18071240; 20642247]; [62203328; 15344565]; [87578555; 2858027]; [38923470; 39167190]; [1221158; 92516657]; [5159315; 84464470]; [69030582; 74462463]; [66661168; 9540825]; [35902641; 70053118]; [54896873; 24768667]; [94606159; 31274942]; [32854583; 68190662]; [716087; 70231342]; [74976029; 83703214]; [15579928; 75631968]; [70955116; 64690810]; [67367813; 36763577]; [93307593; 49656243]; [50359815; 54773612]; [10665303; 76176646]; [15716145; 38019174]; [38921625; 95880548]; [80431959; 91177396]; [9174062; 36756696]; [511114; 36597213]; [67447269; 46407051]; [19015444; 71646550]; [65020912; 84510184]; [62874161; 8089484]; [93727228; 10180284]; [28450304; 88420473]; [79224152; 39053632]; [79156036; 5115728]; [42624915; 29492887]; [87450874; 61468923]; [92812391; 52489017]; [70583619; 21248337]; [98519287; 27675434]; [89096687; 9508368]; [37358996; 92457698]; [57657614; 88801655]; [35576171; 26109402]; [8463326; 4675781]; [22672532; 74261384]; [69259156; 34899675]; [45206215; 63204497]; [99086832; 32916249]; [58212191; 65847744]; [68894283; 78051412]; [90822343; 42664885]; [36136456; 49184451]; [2950943; 61402733]; [89668111; 47154856]; [3891731; 3684184]; [56525367; 20961200]; [28380685; 8041326]; [8571276; 70007206]; [28499571; 44534662]; [23574379; 19714475]; [23105074; 60946483]; [1390639; 29313244]; [51874406; 80287215]; [75939150; 90474315]; [25272702; 54439650]; [93325735; 13690939]; [80963675; 710979]; [81720098; 9706928]; [77104347; 7781652]; [20770105; 68221031]; [21977673; 68594199]; [60784126; 85104125]; [3793720; 12778672]; [47142663; 54480998]; [10595168; 98633152]; [96496292; 85673400]; [71032104; 98601386]; [69578974; 8837509]; [11327852; 68432640]; [98488612; 22486127]; [23801558; 69891671]; [58916421; 45610969]; [85579251; 52997240]; [45333983; 23260596]; [96612553; 48439637]; [49960311; 79612671]; [78026515; 4880362]; [96769139; 33146524]; [91673288; 34119270]; [31718638; 52618472]; [20550090; 79571102]; [86926671; 65675609]; [26042874; 51448849]; [26633148; 76821642]; [15932388; 35609951]; [87731544; 33002987]; [84999235; 88381388]; [20561895; 76625453]; [84144558; 23095790]; [46795240; 54820415]; [57425661; 21415381]; [65966361; 41683389]; [57904775; 10346269]; [43459113; 82768109]; [71581488; 74639718]; [47918377; 58574996]; [80535176; 60172344]; [54792731; 77276237]; [87927792; 47198788]; [90170337; 36978891]; [9245615; 31190337]; [31354678; 57243586]; [41663186; 56720963]; [92025883; 92067180]; [63629380; 24700283]; [26153840; 38476777]; [48504117; 88403283]; [95162303; 85284967]; [93668233; 38691281]; [69534581; 56746474]; [73256354; 87784985]; [94876163; 53908446]; [92926116; 80756891]; [87431488; 9317255]; [32122823; 34524378]; [47866088; 53805468]; [54809940; 79715695]; [27392238; 99633705]; [57318922; 59852256]; [77469178; 71604523]; [20534929; 63994819]; [30129474; 79785300]; [3519286; 61158337]; [44735321; 74727229]; [81352299; 75057858]; [71713565; 6150586]; [66013489; 45553999]; [82380753; 59603636]; [1375606; 56244727]; [2925389; 3321354]; [81473773; 75457807]; [90768987; 39353288]; [52322723; 62684616]; [86294265; 52697002]; [76737023; 94408341]; [36851461; 36247614]; [46614761; 56439033]; [73909986; 12596517]; [86731150; 64969631]; [42854484; 39395461]; [68205266; 3649725]; [68195473; 89495992]; [29787167; 99579930]; [68326346; 79546210]; [57606404; 24704309]; [54732357; 4800554]; [83530153; 41764392]; [69548568; 15936215]; [61088264; 93821072]; [3369692; 93528119]; [49853941; 23925492]; [88867919; 15529041]; [70329979; 64267337]; [17170412; 46951484]; [2921649; 46172891]; [56208254; 86388481]; [45754039; 48960414]; [24201908; 42849620]; [62174200; 75993428]; [67240233; 19329767]; [46781912; 41759884]; [92883937; 48063964]; [17964447; 38943357]; [87683583; 37240833]; [51203589; 6051149]; [5399261; 33519575]; [51517319; 67076738]; [26262816; 61191066]; [11428221; 30642557]; [14751287; 74441273]; [82690854; 95993330]; [94345187; 87875]; [31099697; 17574768]; [32264927; 57063188]; [94138961; 88787593]; [60381761; 66119522]; [91207290; 6624235]; [33804135; 49394034]; [24750010; 55528492]; [60423412; 33466922]; [10198385; 10117233]; [83839863; 83604987]; [53737684; 63459023]; [49111033; 10467106]; [14357198; 48199603]; [79698113; 95154165]; [29762981; 64320620]; [3245306; 7852865]; [55610793; 81822043]; [42952544; 14568109]; [70942829; 43233581]; [70755352; 87704824]; [57677426; 43349420]; [96933476; 43624911]; [24879937; 37826282]; [93763747; 90829961]; [14134362; 30183541]; [13113346; 43334766]; [90302082; 94050567]; [12228400; 48021065]; [55807388; 66159737]; [28588926; 28667909]; [63182412; 27779487]; [63594769; 15217328]; [93732937; 13493049]; [64702158; 4030108]; [13134923; 51556414]; [24104998; 1850018]; [26445102; 71896840]; [27715004; 32843027]; [18522927; 18603399]; [23923640; 80810782]; [76892286; 92112538]; [91095135; 60712749]; [10775896; 82397945]; [4893094; 53256515]; [29309664; 34581083]; [23209729; 32640177]; [24577862; 18149449]; [21284131; 42064950]; [56365944; 95786372]; [44807802; 74219273]; [96942739; 14431759]; [87921507; 99548956]; [34247692; 54790398]; [61110243; 86525527]; [71893026; 10534619]; [25615488; 28751994]; [83118216; 44754793]; [28244356; 86447454]; [32434164; 59611883]; [83012356; 48020237]; [46676099; 23496667]; [75852123; 92345058]; [8052619; 49379785]; [49311911; 75994840]; [31737640; 66085914]; [63114718; 28483109]; [39515790; 84290663]; [23405486; 68831668]; [37111717; 644032]; [34644780; 84187443]; [33224598; 4769803]; [36506178; 4112840]; [92956130; 93299113]; [43763261; 21115643]; [31462473; 7000529]; [48714060; 94722766]; [75333356; 75612367]; [33413700; 29744773]; [61834583; 13903647]; [52077790; 55639050]; [56447118; 23601407]; [93112871; 81808129]; [27986663; 88378352]; [98066933; 88686354]; [29469128; 63627423]; [57496668; 33025521]; [77309458; 68649403]; [6743574; 9541040]; [47818135; 34191801]; [93486320; 71443843]; [24825007; 25734163]; [38836179; 31048132]; [19417004; 9345227]; [8142298; 57067283]; [81075848; 70583973]; [38355600; 71861585]; [95717432; 51264212]; [69397271; 47198151]; [78629068; 71300491]; [13366106; 83886733]; [91658276; 57036940]; [9915890; 13065910]; [75669532; 74965764]; [84672865; 30023581]; [64047007; 73065210]; [62992206; 44703094]; [40528597; 87082750]; [10635943; 49606654]; [68655937; 7737082]; [98794456; 22094690]; [32446007; 35659489]; [73783903; 5628099]; [39060361; 9532566]; [84560521; 75446349]; [38435335; 88627571]; [69556972; 61621489]; [63673506; 29877170]; [98824321; 88671914]; [73027077; 60246243]; [36902899; 20858182]; [35508341; 86707852]; [32501680; 10072689]; [34703561; 49984492]; [34703508; 87377446]; [93879520; 89217852]; [18088454; 12228058]; [79680022; 13045004]; [267848; 45889504]; [69765247; 28710103]; [54473529; 6525804]; [13963832; 89097200]; [48395733; 92778931]; [95168865; 28787154]; [48654103; 28458808]; [73031792; 21703466]; [83618769; 63616082]; [41102518; 24401376]; [80642453; 64104008]; [53701296; 78377211]; [55577787; 11081585]; [8427634; 23289673]; [62126542; 45932350]; [54479096; 12430698]; [59049102; 34945730]; [28083201; 96025709]; [93404640; 70705674]; [47883606; 76990541]; [79124980; 47303696]; [94401160; 24037743]; [12946821; 66015276]; [70378362; 46697528]; [3359901; 30465076]; [51550498; 49347078]; [34798233; 29364097]; [34487726; 43476715]; [12821583; 56003188]; [63436527; 15459529]; [80357503; 29345368]; [5114433; 6239780]; [7359057; 54393408]; [58808162; 8722710]; [23816489; 82058266]; [30541923; 49218647]; [99561629; 31340169]; [29083888; 66515143]; [85357232; 85876011]; [61040132; 61845510]; [97215372; 1221257]; [53558339; 74456340]; [71282524; 32214997]; [57487780; 85353354]; [99736035; 87885619]; [95717506; 15212247]; [41943641; 39054013]; [36148830; 92791046]; [76023549; 95253584]; [35515490; 18694521]; [11157249; 95196186]; [49549073; 97962969]; [23804390; 53602677]; [87289118; 31422821]; [3396955; 15089625]; [51840317; 61296404]; [27169604; 8606070]; [79768637; 69083869]; [36745847; 46166024]; [15154323; 17942458]; [96069569; 33851833]; [322296; 60264937]; [79348127; 7549002]; [12398368; 86810497]; [50864070; 90137013]; [32389559; 29596257]; [44146424; 13209467]; [31868318; 97616241]; [63823570; 28663179]; [67151394; 64469067]; [21380096; 9917346]; [27618975; 66608266]; [78475292; 68810136]; [86690788; 4366455]; [3498807; 42685949]; [45454350; 5982631]; [38801485; 83673870]; [71840504; 59881717]; [1501259; 46008964]; [81103395; 76853569]; [69259558; 93140864]; [97465765; 9894440]; [91559828; 93727659]; [61540292; 14167494]; [46023844; 38323081]; [76968803; 61648954]; [89740136; 64242899]; [45571622; 88050820]; [74800723; 50472588]; [42925775; 51748755]; [99321; 45623136]; [9304390; 98522657]; [37507968; 90904590]; [25075402; 60710702]; [86163033; 37985320]; [36952246; 36826877]; [59352666; 61859567]; [54796256; 95362439]; [56565929; 8330734]; [50931904; 61285862]; [73721943; 32240171]; [14742449; 45089757]; [44774292; 97636953]; [80298468; 12584919]; [33196537; 28237862]; [31159766; 76514913]; [93935299; 2403262]; [5675321; 23946919]; [93860480; 4511488]; [13488937; 65196465]; [5195039; 50633271]; [15024511; 84782000]; [24648308; 51575658]; [28839322; 6682029]; [6005956; 44940186]; [63278901; 77921075]; [34921366; 7688709]; [14463423; 17518982]; [23704147; 45009092]; [43481624; 24788937]; [22557212; 57413257]; [54832170; 59212460]; [55023068; 49630700]; [69402117; 88067596]; [27118564; 27933248]; [65869982; 46515228]; [34888023; 26412837]; [43672440; 52548766]; [78761251; 52884839]; [3276406; 96818580]; [72326725; 75213762]; [65154360; 7901328]; [94044793; 61922300]; [96312327; 41341939]; [55103374; 65061101]; [33221977; 78239972]; [15317001; 73524293]; [18730153; 97522577]; [68046043; 87891516]; [99637170; 80574780]; [38473989; 66402544]; [32789288; 57914205]; [30233013; 84513147]; [44790472; 60740952]; [10722761; 78845213]; [59161424; 27584340]; [59286763; 19144692]; [39302551; 87742382]; [27309726; 95710825]; [4964978; 95875600]; [95822219; 85095987]; [69876493; 60637875]; [64450949; 8847586]; [20951957; 53854613]; [73765586; 34382252]; [65464402; 17834570]; [34298681; 99290315]; [39801681; 17411732]; [28397862; 85958321]; [61449465; 77904937]; [78654996; 62397251]; [71817319; 69792652]; [5640438; 69234611]; [99333210; 82829858]; [33594515; 62716396]; [92845186; 87333314]; [38220267; 92571035]; [55909895; 67445224]; [29426498; 54325109]; [61119383; 47818265]; [64355801; 92458895]; [66460305; 97509825]; [6273312; 35287754]; [50447822; 43772730]; [7067329; 3216787]; [41630302; 90239138]; [75447051; 10742582]; [52839450; 70975873]; [67799459; 23204201]; [54506048; 69136707]; [74486773; 98907944]; [28252100; 23024736]; [93466121; 89183375]; [39183302; 90358645]; [63429330; 83046411]; [85601477; 96381037]; [15425734; 49744852]; [16711776; 86779486]; [93577516; 15881104]; [96806677; 66708283]; [42999090; 36342598]; [37423946; 2344503]; [36680748; 21371764]; [47881819; 15815566]; [65763088; 67531110]; [16515629; 89973617]; [56360713; 83028381]; [21541540; 78378494]; [19141978; 40315994]; [28693024; 11857780]; [44763605; 45674963]; [7006392; 38662810]; [79597477; 12189700]; [68029601; 16754069]; [38975315; 50451574]; [79622100; 71072569]; [24053505; 54333682]; [95016474; 34076723]; [38619779; 12060974]; [61822611; 34696048]; [22285480; 41961967]; [31439597; 10230243]; [51338284; 97299562]; [77815719; 24124199]; [93208006; 50785513]; [5233195; 70991809]; [57991078; 4694056]; [30919596; 21263204]; [90723204; 55040956]; [10621512; 46169412]; [68763243; 3121859]; [4647768; 68905531]; [584181; 81624551]; [18550105; 66948089]; [90428312; 5255099]; [95972008; 18631778]; [1917683; 47915246]; [91827181; 16922292]; [33950718; 16444176]; [27517895; 88750558]; [36900889; 83454568]; [31485902; 69647183]; [55292748; 3969766]; [82058346; 29203951]; [77230343; 45583014]; [10942760; 80014613]; [15094007; 69591071]; [13426506; 18220689]; [52275518; 79663173]; [66982099; 53734161]; [9371747; 78622315]; [14654425; 90855996]; [59287056; 17291135]; [68001361; 26372551]; [31432819; 66710101]; [918508; 60174910]; [80256410; 9865314]; [65407972; 27077821]; [97088048; 75511111]; [5533619; 50230050]; [29451664; 78171820]; [20550482; 43174885]; [62406808; 44413972]; [48241288; 16174115]; [93001892; 51692385]; [98785527; 41048799]; [48836709; 53201092]; [60883917; 44213613]; [95358480; 23470170]; [44344892; 38497556]; [39928923; 11805279]; [96639076; 54528497]; [36193997; 79192403]; [57585877; 21463202]; [16127517; 15168266]; [18383776; 19232398]; [41804252; 92112005]; [77221133; 41084202]; [87492151; 35872115]; [64566191; 20695507]; [79558943; 40945648]; [73719015; 45033496]; [84615238; 59174820]; [40508610; 2421515]; [22400447; 52100298]; [28894098; 20050717]; [23225675; 50681601]; [49820476; 25321814]; [58072010; 23712589]; [76318642; 26418083]; [55893136; 8352113]; [38646444; 17367146]; [99412930; 45449852]; [98074999; 14616456]; [40356352; 6444873]; [62434320; 44189699]; [99180753; 53371850]; [88203149; 43711631]; [28835004; 31407491]; [40619281; 22082887]; [75662359; 27312443]; [91084692; 87979045]; [77530412; 61236636]; [11031424; 82766209]; [15484080; 37152186]; [52832438; 68169225]; [22991688; 9169237]; [51828494; 13601504]; [28643759; 84729759]; [91901850; 93127427]; [38339680; 54037601]; [69560639; 51468238]; [49338677; 36869373]; [71727184; 36533336]; [18472952; 68655462]; [18769783; 50228027]; [31080970; 73764814]; [75216314; 71770423]; [2526233; 71655309]; [48309096; 53478573]; [24007405; 16303554]; [30117314; 87541730]; [91104499; 2689886]; [71360695; 86040285]; [48116259; 4084820]; [68041794; 6620219]; [8639479; 64155676]; [11159619; 32429162]; [34403342; 83832028]; [15512513; 76921227]; [15274947; 99357326]; [99461729; 60700882]; [77572101; 62209616]; [67458474; 79926844]; [92665644; 19995789]; [3810065; 72733256]; [20941441; 92782624]; [87941605; 33109644]; [64261947; 92963755]; [49093554; 96896980]; [12358783; 56049599]; [2975907; 19457444]; [18160549; 19280897]; [77455750; 49965273]; [58159980; 56840525]; [3554388; 86734983]; [19319009; 71267298]; [4244750; 38427020]; [87617879; 18933795]; [87888601; 70090591]; [95022140; 51689857]; [33919989; 65887749]; [6916129; 9767091]; [7095044; 29082499]; [31390228; 67606437]; [64936208; 34518447]; [53579775; 6415395]; [6767255; 282804]; [4534787; 80994651]; [43150770; 16198884]; [43652236; 36917985]; [50179990; 18296671]; [56360421; 63155552]; [44983588; 33800400]; [69538443; 73567510]; [43243059; 5255221]; [35140537; 83203591]; [92310032; 49051882]; [7435472; 92816026]; [79376276; 31183703]; [5643629; 89911809]; [95043163; 46890752]; [25374490; 62344375]; [34382699; 57496447]; [67849350; 81302301]; [60240865; 16430537]; [98534818; 89568050]; [6294944; 20478711]; [81773518; 22697699]; [62780092; 51237300]; [2444966; 74210704]; [72060492; 66980462]; [70367402; 70038010]; [17658537; 66610915]; [68356606; 55212259]; [23278631; 8493800]; [20616463; 63636674]; [46060941; 63582636]; [29869334; 5026720]; [37856516; 76051796]; [89401597; 73406623]; [5885549; 75754978]; [29413837; 52260416]; [31319522; 4148254]; [34610786; 48340253]; [98879448; 7630908]; [76563061; 28549357]; [6574300; 67633125]; [25293363; 96332622]; [22914917; 20740413]; [61773356; 27139379]; [73679232; 45265977]; [69542392; 75319945]; [55258044; 38354182]; [31598585; 57055895]; [86179834; 37648031]; [18506458; 94201587]; [61684709; 72572407]; [63315985; 84557123]; [65152917; 86568023]; [45225509; 49989443]; [40552925; 60500994]; [27086858; 51291723]; [24637301; 55504062]; [38120213; 79971206]; [60052517; 6841095]; [34680311; 54948651]; [35462371; 76575618]; [2508934; 73000799]; [37506314; 14808392]; [15576453; 83622097]; [13353898; 62424468]; [42524153; 33973656]; [63051961; 57958964]; [49874634; 20995263]; [23860777; 90306687]; [84727547; 92841927]; [96511343; 12719381]; [68986181; 95575770]; [3061166; 54551063]; [43756643; 37325266]; [65113119; 57536441]; [53091755; 82033964]; [17440720; 15389128]; [55800953; 9987516]; [97094281; 21783113]; [87323850; 59010421]; [1096681; 41210541]; [59830437; 21065070]; [26476840; 27034489]; [86648124; 50255455]; [73672483; 37659659]; [47105094; 5455058]; [75030668; 43630707]; [31539600; 87352794]; [32552225; 91704038]; [67889622; 27223630]; [39497226; 9741040]; [78871856; 35533562]; [31818061; 77083206]; [23097466; 38859142]; [11894437; 57757459]; [41837121; 66356206]; [85731311; 74535532]; [51223399; 5189728]; [75534046; 94008633]; [43951474; 43471757]; [59998504; 74216251]; [7949607; 75839427]; [26418941; 37186778]; [16377921; 91339455]; [65225980; 95516434]; [22420124; 37706076]; [61098515; 95583012]; [55842366; 76784296]; [31321893; 66458301]; [16572309; 97745076]; [57432871; 76455433]; [11076450; 88077205]; [50826733; 71782092]; [82965290; 91321196]; [6813155; 9669555]; [78890435; 23732806]; [35703511; 86015818]; [53012246; 61475477]; [69861069; 8629455]; [76898427; 54673875]; [80071835; 17915005]; [62733964; 3750360]; [91908772; 40087000]; [87606122; 86240705]; [12178317; 81940798]; [47902211; 74609373]; [72938043; 29741979]; [6662658; 89985802]; [21840042; 82663864]; [30266281; 39253737]; [185597; 57645864]; [8227123; 81568656]; [69260752; 61168382]; [88082504; 15431686]; [71794425; 27909049]; [4247893; 37039800]; [26496683; 9127218]; [29606862; 19296360]; [60936859; 19994535]; [4501742; 39416245]; [30301131; 47391445]; [4885686; 21478174]; [73245; 34448371]; [41240265; 19314403]; [738651; 90706962]; [50053832; 17670195]; [65828153; 76717029]; [23194764; 32565476]; [4879263; 30789741]; [3160551; 69659850]; [37602235; 49003780]; [74789737; 8791872]; [22729554; 88838951]; [56736146; 2451744]; [73525115; 81008456]; [18336771; 57788133]; [33235435; 11009046]; [39422336; 52435409]; [76514863; 30941929]; [93260899; 39620665]; [10970420; 66981178]; [98554796; 5682793]; [69312068; 90451231]; [90539855; 46028481]; [93658428; 64737001]; [42982077; 93871340]; [43083404; 55601668]; [76422512; 43619270]; [19361770; 39769216]; [94824182; 94387951]; [92936851; 13626398]; [44944259; 28432595]; [2354294; 12721873]; [97485044; 92841395]; [61201205; 55711394]; [18664678; 33939713]; [96745678; 97929412]; [22967282; 20888458]; [19884466; 6112392]; [14883105; 28525385]; [23009645; 68861074]; [51010300; 31606499]; [56168169; 30906790]; [44640893; 20892083]; [5690664; 90029071]; [55397132; 32051969]; [45609256; 40215218]; [61569299; 10328323]; [2138776; 49625901]; [23066723; 66844821]; [91018433; 60452788]; [7880281; 55227463]; [8159669; 39357856]; [6834062; 90310337]; [61615672; 93160545]; [951439; 16770148]; [8100992; 64973838]; [55414278; 30735575]; [17243160; 67826670]; [75452465; 98820379]; [61050938; 26056983]; [60946946; 56701411]; [33985460; 8648014]; [10318684; 29420479]; [30348180; 54835827]; [52203367; 47492230]; [95620813; 40792201]; [1464277; 34442736]; [24700456; 41522187]; [45222981; 5291656]; [82867674; 60311231]; [22609714; 96603732]; [94542343; 33139688]; [48988668; 53079914]; [99497440; 34710839]; [83162057; 37646754]; [94371428; 62385532]; [13059680; 62804143]; [39920673; 90721132]; [73432912; 87555470]; [96951784; 50483709]; [49865180; 57814065]; [86602459; 72552596]; [2691694; 83731155]; [20119431; 91919057]; [9737592; 20479354]; [58191956; 89787666]; [48245230; 67704334]; [87354121; 88994643]; [16672288; 10509320]; [43360409; 18918915]; [13169062; 74833704]; [86739986; 49874959]; [78534481; 95800611]; [22944045; 41074520]; [51334342; 37517226]; [88565304; 4179170]; [4157087; 34317537]; [31047693; 68202693]; [58572686; 23610943]; [64321901; 47640097]; [54312504; 65982902]; [2753477; 17093642]; [1213598; 80868445]; [97741724; 90851977]; [72696663; 36555315]; [92504894; 40666542]; [10996381; 16757259]; [18511139; 7488066]; [39830003; 75465694]; [81474644; 9536286]; [37040326; 93709438]; [18886872; 68997240]; [88325542; 82397897]; [86059431; 57248039]; [46183868; 95651493]; [82530701; 84647345]; [97837834; 57082893]; [36525297; 15055631]; [42259296; 34812618]; [7995142; 55566510]; [64442969; 31503643]; [70574629; 3983151]; [30286063; 47012479]; [53719671; 11810766]; [81971678; 34583581]; [50587916; 83338924]; [43692670; 77771138]; [65454712; 78754351]; [83822057; 82028571]; [46964728; 89120238]; [15056652; 74040959]; [34682829; 21057217]; [91776893; 57481077]; [27639871; 90094324]; [5295558; 37634375]; [84274282; 38855588]; [85820671; 27825796]; [44198753; 93234217]; [19545659; 94159274]; [20233295; 92337276]; [5604005; 59233075]; [25186956; 41934419]; [2762421; 59522757]; [17317785; 2558756]; [51521010; 24155910]; [97930709; 60106123]; [22258556; 55289221]; [71284635; 44482117]; [1386468; 9724442]; [48849528; 93076495]; [41729878; 79044320]; [47351591; 77378810]; [50110043; 78099008]; [66857045; 18929397]; [14996495; 49846716]; [34580309; 93144719]; [56787945; 95660762]; [47437012; 61520266]; [67522140; 33834925]; [43398871; 76516727]; [24663436; 9337416]; [10841491; 95633391]; [6615256; 13349380]; [97902674; 68662387]; [37883786; 48073303]; [99261976; 69342112]; [46145721; 47481226]; [88041505; 4361144]; [9580772; 18798089]; [97483798; 17806772]; [53483217; 91450409]; [80494971; 88930219]; [76839436; 58193938]; [75756198; 7446251]; [13352594; 7295939]; [54316180; 32551954]; [41314337; 6744723]; [79540326; 86478174]; [28746833; 19985813]; [11131310; 23202151]; [65625520; 99234756]; [1989767; 13163759]; [12943907; 97027026]; [91966946; 91926937]; [12488188; 43354822]; [87538403; 22729310]; [24273392; 98857847]; [55909583; 98767381]; [58590349; 62425256]; [70796300; 61130059]; [63323355; 90276662]; [9504158; 89169622]; [78774705; 12256871]; [49076956; 53967883]; [29467043; 66177573]; [47504878; 21468743]; [59215861; 9543348]; [26862502; 52650626]; [63970228; 35114119]; [29162745; 66133212]; [55862899; 45230959]; [9350777; 42682885]; [56023853; 59453949]; [69512659; 89547246]; [45915202; 15458522]; [99233621; 16781899]; [74341689; 24215247]; [88975626; 2221621]; [86303752; 61410587]; [61993567; 77256414]; [36621981; 65995378]; [91263383; 30469845]; [93476194; 55897875]; [53349439; 40335307]; [54252378; 89917614]; [74382898; 17049391]; [73704259; 94083469]; [4583977; 60505735]; [57810662; 39894325]; [58449159; 88873359]; [38416574; 5947275]; [84052241; 76247786]; [77927870; 14740263]; [850882; 60124451]; [93545085; 96574921]; [17294516; 83311611]; [3625730; 92561528]; [65367134; 44359421]; [4015458; 80489267]; [65639927; 37041916]; [64959248; 90876550]; [60772445; 14178251]; [23814342; 28302351]; [22459085; 88877666]; [42047545; 59879667]; [61652216; 9691711]; [51960135; 98805596]; [13705135; 9951987]; [73391518; 25944180]; [1241976; 88316402]; [23247151; 12556002]; [48845725; 66438460]; [13306309; 32046446]; [98073421; 61320809]; [44975493; 19078798]; [24184429; 84079261]; [20231292; 13642807]; [22736991; 52238157]; [40369497; 79187212]; [88281395; 16470391]; [9425828; 489967]; [66222263; 42184962]; [1934772; 51228499]; [56282277; 86458852]; [42669713; 40221364]; [26288751; 55359908]; [75794118; 29896711]; [12084317; 4984000]; [44274556; 87813135]; [4701821; 24205445]; [11471912; 52347599]; [91609584; 68982880]; [35763110; 31268779]; [9797936; 85140168]; [49825993; 16985501]; [22115721; 58148376]; [73995766; 75217874]; [41395345; 32130317]; [89341414; 94960592]; [67558590; 6455029]; [82490959; 45413811]; [69705209; 91926341]; [31323369; 94192862]; [70179978; 69693624]; [89125100; 69048437]; [42345406; 31614917]; [95836670; 15594994]; [89585099; 82655028]; [7046557; 18344745]; [34617204; 75726306]; [93269683; 21927048]; [71770008; 85834861]; [242028; 65284479]; [56673657; 85547475]; [84993344; 31653178]; [14006048; 61684233]; [97383460; 83747573]; [5099237; 15311540]; [66317095; 93742300]; [6092638; 3970567]; [11126994; 76671178]; [48176861; 29022169]; [41973421; 15003016]; [92818798; 34551567]; [46257087; 51224000]; [1129550; 96817608]; [25900465; 2019153]; [74564634; 72793225]; [4881202; 4706355]; [86151803; 62140594]; [42079456; 3235820]; [74242511; 58798353]; [86824636; 80525892]; [67003614; 64114600]; [15120807; 81891869]; [41472406; 42895743]; [11727647; 13918097]; [4037021; 77951706]; [90299085; 75726752]; [26276485; 10949333]; [25310589; 38742422]; [54253999; 11761949]; [26039381; 83222627]; [37704521; 5688309]; [76190551; 6676046]; [28554904; 99221096]; [75941905; 5488951]; [93389554; 40530347]; [95102347; 3209333]; [41676750; 66757828]; [53654208; 32358480]; [41421187; 78408929]; [46589821; 18762054]; [26375059; 46048046]; [33538986; 4266406]; [87980397; 2209963]; [64920644; 69747597]; [57245744; 20826109]; [97000904; 16757504]; [37602235; 2261930]; [42639101; 60810506]; [76741936; 40732036]; [66476177; 32507636]; [91327975; 41999934]; [50361607; 60133863]; [16052930; 41700614]; [29196778; 10999097]; [8496681; 95117659]; [73130823; 87073223]; [55489366; 80370921]; [69550209; 69822319]; [19721700; 6212670]; [22157272; 51598038]; [30702348; 78095107]; [77038132; 91600168]; [38438791; 87153460]; [76002383; 53997937]; [48789815; 69941817]; [58198921; 31510706]; [56467749; 79791592]; [23957755; 6168597]; [23475435; 23220570]; [95676553; 89291629]; [27911459; 85793218]; [23563175; 86979960]; [10102373; 73453852]; [65797492; 7990875]; [8318085; 58198248]; [10273530; 79844375]; [24826442; 36042761]; [3481133; 84093091]; [88238295; 33459989]; [22206355; 40288240]; [91303945; 70324363]; [77473612; 74944105]; [46969085; 25455502]; [99126838; 45539984]; [71380018; 23044610]; [93436791; 55371082]; [67597397; 4967294]; [96727486; 82421523]; [91200073; 10069481]; [9307993; 12516520]; [96539585; 17964134]; [75977839; 56977173]; [13061403; 89276057]; [80441877; 1580103]; [82121615; 93580826]; [58736244; 19131368]; [19625545; 81897045]; [32278714; 49033941]; [11418635; 60304192]; [46761053; 95106091]; [23863025; 44016762]; [42705744; 91084875]; [54595945; 65227487]; [44737076; 52679935]; [98704296; 77872631]; [54378843; 48406983]; [47289845; 96148167]; [5627370; 86116675]; [26625241; 20683168]; [5201185; 65961073]; [34744245; 77873818]; [13951643; 69185997]; [64419892; 1047533]; [42294549; 67303329]; [29350872; 64002698]; [69444677; 70508616]; [66514015; 62308225]; [64972402; 19137070]; [64704647; 1013132]; [77110802; 35004462]; [91832695; 31968621]; [77172086; 15116330]; [56230129; 90694301]; [14843699; 20925221]; [91204286; 8708340]; [55705850; 78016274]; [61633726; 96094989]; [98408368; 80741502]; [21448244; 4748874]; [86598713; 60496436]; [93103801; 94053633]; [77791821; 154135]; [42617338; 29872473]; [76379501; 58883248]; [56366332; 24837656]; [89871728; 53627310]; [1701805; 78951817]; [24189160; 71899923]; [81027785; 29809562]; [29801940; 21075926]; [3517363; 75199298]; [89414326; 5165300]; [31604890; 11334931]; [21248475; 93868887]; [59308047; 69199136]; [25239131; 23865848]; [33828617; 91659516]; [64643745; 96360670]; [14076109; 25423424]; [83802110; 23757777]; [59807533; 48516598]; [5896835; 228408]; [11278623; 20470316]; [68222004; 48108026]; [92121718; 71038916]; [35989319; 21615252]; [77231558; 96274503]; [48892778; 64649504]; [88114665; 58417739]; [19840839; 90349964]; [1713210; 75939174]; [28218605; 99766646]; [83019392; 90642963]; [12810105; 59014290]; [43311248; 16916992]; [32057878; 97821458]; [42307960; 67182604]; [21983104; 34703832]; [47748074; 51169752]; [56079644; 81363959]; [32321552; 70181342]; [28594841; 86857105]; [85157508; 93229985]; [90664163; 52847834]; [7815646; 6024006]; [63336357; 33908528]; [31813404; 17602733]; [71185402; 39909929]; [39511589; 33979784]; [73029172; 67865358]; [39662786; 7615988]; [53207172; 35440058]; [91469289; 14771871]; [95893588; 74820652]; [6346418; 53907641]; [53579371; 37986019]; [14562358; 89473383]; [16755616; 7386782]; [83522075; 90043734]; [12096977; 55960259]; [12277238; 47431408]; [93236338; 47221934]; [12197751; 66033970]; [16343806; 93158495]; [6956291; 61563660]; [63385303; 11555874]; [68293717; 49694482]; [43478755; 33100392]; [92683059; 88183135]; [41684301; 63419611]; [69979175; 71740508]; [86273619; 38521465]; [6782003; 66979788]; [94501158; 46776925]; [45134379; 30229860]; [18633363; 12948379]; [6312223; 6749927]; [92273214; 62519554]; [72049038; 68629668]; [36763478; 36924717]; [71525180; 28473769]; [73500965; 97545620]; [57821170; 64979861]; [57815844; 96058018]; [38423969; 99347479]; [23803100; 2225091]; [12580050; 49472159]; [18330813; 20826676]; [48157504; 14565031]; [60164064; 2559424]; [38725623; 83717335]; [84360213; 64093803]; [68505048; 6534962]; [67534476; 52481889]; [20804051; 43833606]; [20571998; 26062349]; [8872652; 85950921]; [81491727; 11357083]; [32293778; 52492155]; [66936601; 99204850]; [88363552; 91896591]; [94135788; 13970731]; [71320057; 76615258]; [66921727; 6987260]; [40747065; 98509735]; [52589697; 8473878]; [12686254; 91756793]; [51825988; 55567394]; [88432120; 25430908]; [83791584; 94357820]; [71119285; 54258775]; [8880141; 15195057]; [26801438; 68860489]; [49961781; 85986491]; [37877924; 60052967]; [69005357; 81239662]; [43869167; 18503988]; [80167339; 41754881]; [44788598; 31733477]; [66470026; 80829336]; [50569055; 70701536]; [94921249; 52159862]; [41861662; 61158736]; [37413882; 90318117]; [3696746; 52738419]; [23594461; 66687552]; [81544445; 42005831]; [89384627; 22923500]; [67218723; 61111129]; [91422616; 16211686]; [61234958; 6830796]; [58046691; 95093841]; [7887417; 73868138]; [89622788; 14251252]; [11652282; 65009561]; [50464479; 4964420]; [95605803; 49101114]; [81429024; 76572418]; [11767300; 68428646]; [8216020; 36427621]; [76629346; 13884677]; [89122750; 60222562]; [10007583; 62860962]; [50178563; 20600095]; [8389471; 60727915]; [57689374; 57551780]; [38264727; 86435317]; [81010268; 16912986]; [18207074; 28809150]; [64647300; 94008656]; [97854141; 10305059]; [3586634; 14763308]; [24560403; 73025813]; [93284530; 92534700]; [67252113; 77370856]; [40988126; 64420037]; [11561700; 34299317]; [78759760; 96923832]; [27130551; 11118211]; [44074577; 45921516]; [73016404; 41291575]; [50494833; 71544018]; [63826500; 19046257]; [68559453; 38203544]; [55534184; 91911617]; [83853317; 74622639]; [49185773; 35264290]; [23635900; 44556883]; [74713691; 45614674]; [82062200; 18328321]; [18901166; 92934794]; [99853746; 11390146]; [43762353; 51611864]; [28039989; 16772464]; [15071091; 7300847]; [7326244; 24098703]; [21968540; 57519194]; [95922560; 61976525]; [90224825; 73307850]; [99376248; 60219962]; [9721054; 68665098]; [96267378; 48465489]; [66399023; 28058411]; [59518425; 59419650]; [82879509; 52651175]; [29534697; 96759534]; [48795456; 50578530]; [99265309; 97398355]; [74010254; 26707130]; [32948334; 93473538]; [39462057; 31306758]; [69580568; 61136399]; [96495682; 74574835]; [39659992; 27724586]; [90654929; 1545356]; [13148702; 71580499]; [70948570; 62991191]; [28999164; 61416932]; [27878921; 82199349]; [41042952; 53385847]; [93286947; 10972917]; [16786133; 57103357]; [69783862; 75240715]; [32082433; 51216374]; [8462195; 44442261]; [37637508; 37201380]; [44444675; 4246936]; [51126018; 99218911]; [43912213; 56572927]; [88250391; 97137275]; [18802079; 38933939]; [98786615; 82411628]; [96062433; 46022213]; [44830245; 74698021]; [74224552; 28490667]; [34017157; 75385978]; [84012968; 17277094]; [59919023; 79277418]; [79018665; 89269442]; [8240672; 16949330]; [11702165; 45120921]; [52287756; 72976529]; [91631854; 77669690]; [76926666; 34247674]; [15372688; 93495683]; [42049955; 63425881]; [66729040; 98993269]; [36610212; 3896989]; [36436388; 63807657]; [33246485; 50252096]; [69950145; 79499589]; [73316687; 19943387]; [39791615; 92881928]; [41251836; 51468372]; [45228499; 21387508]; [18248238; 79727838]; [5314404; 30659630]; [81456154; 92282916]; [67236204; 97340910]; [47834808; 82844428]; [87825623; 29572657]; [36178660; 91064868]; [74510629; 39871835]; [69145469; 23285113]; [34380820; 80007488]; [12410685; 11208408]; [53180533; 49924702]; [86240872; 12106259]; [75130739; 92522661]; [8388802; 77149033]; [17011267; 32809158]; [40434588; 4727269]; [30975086; 69327748]; [51641520; 70574406]; [17591295; 39256675]; [88925829; 6206320]; [58223153; 84524088]; [50647718; 50567510]; [7640918; 84917819]; [24248857; 21586664]; [25265116; 34110245]; [40357546; 267267]; [6500347; 58005811]; [81025832; 57222358]; [58640270; 22793340]; [9230964; 87891153]; [19260727; 18726532]; [9638683; 15720204]; [34152955; 60614097]; [29784957; 11950778]; [26760124; 23945753]; [58547480; 70346821]; [59262557; 83615122]; [45841437; 75333441]; [32935377; 44798957]; [41872250; 39533696]; [50026975; 50926242]; [32223211; 17896143]; [37432068; 35684701]; [46119886; 97632663]; [75703681; 56665456]; [91440215; 20284834]; [89014981; 4989470]; [39440874; 48881616]; [51672641; 21726766]; [48158170; 7186910]; [82734376; 7195382]; [63276029; 51500863]; [50764294; 30484932]; [54635180; 91729733]; [87375721; 79846395]; [73969037; 46798623]; [14668233; 20505524]; [43937101; 2970121]; [92818982; 64793942]; [98670329; 98181999]; [4756105; 74122455]; [23664279; 68382278]; [38214334; 39428431]; [26289481; 31702324]; [82094878; 59022957]; [52305130; 66458640]; [80319924; 45379807]; [59094149; 4496852]; [40418651; 19289114]; [80170100; 88957442]; [37674885; 30355972]; [76784433; 3100839]; [18186084; 10428813]; [8346616; 84450548]; [39291425; 27885560]; [86911892; 17309443]; [90732051; 8380633]; [52543517; 51702531]; [91712372; 82065041]; [19031733; 89477829]; [64416329; 64330184]; [57468868; 8896697]; [18641957; 12924379]; [72742894; 13452299]; [10829630; 60917078]; [51451313; 32167575]; [3873837; 87693950]; [43636176; 96035338]; [28063008; 74051597]; [68138894; 23440993]; [34229886; 20545587]; [37139562; 47963810]; [60955791; 80418008]; [66408192; 23131694]; [68678414; 12857933]; [99775135; 74767477]; [39869756; 5511845]; [7720890; 46792945]; [96920037; 92010744]; [19360161; 17201047]; [39274247; 73071348]; [2380896; 20141841]; [35062446; 85288272]; [25455744; 1351541]; [9835847; 37878058]; [3567760; 19975564]; [41669641; 45544974]; [25452580; 4800395]; [36632390; 83658686]; [99686748; 77189676]; [3658011; 15688325]; [38766278; 38541391]; [33132489; 81525533]; [90630164; 61000930]; [94691157; 56191]; [98272512; 94386281]; [43593983; 6881528]; [50526960; 35700100]; [65598008; 58352638]; [34636649; 9713874]; [504195; 22361088]; [63437561; 16663421]; [36070322; 28422763]; [33613080; 96443326]; [21993237; 19542157]; [80208699; 61005877]; [69315270; 16805976]; [44406993; 97983860]; [25478603; 70728036]; [85856602; 71409504]; [22867095; 37232826]; [5867557; 12088780]; [78501691; 3480558]; [71708791; 82190176]; [8051001; 22336949]; [59522864; 40909457]; [49252010; 10037899]; [92233839; 84125757]; [8999814; 95227719]; [29432715; 28187384]; [46297514; 36291074]; [79342155; 81111768]; [16054389; 4286007]; [28847556; 57654397]; [12464730; 13039908]; [18216432; 99135837]; [57454516; 94073243]; [26852125; 11946578]; [51665819; 198703]; [33213169; 18828008]; [78555081; 85317831]; [72771341; 41808174]; [41736577; 40765621]; [30088436; 2906058]; [91331143; 73054302]; [79656394; 91910883]; [76253697; 4647530]; [93129050; 34131032]; [28693913; 30408226]; [75112585; 87933821]; [56423926; 55936993]; [7722148; 76200831]; [29820967; 40998392]; [43761771; 64456481]; [41821966; 4970696]; [91511793; 48169955]; [27544836; 50842482]; [67563769; 22399509]; [2410466; 4700723]; [97427782; 92163230]; [4206024; 90127800]; [3943016; 16996615]; [66677448; 29347789]; [25846243; 75054204]; [61085783; 5214869]; [42799506; 78301698]; [87338369; 26369515]; [93844575; 19400655]; [55412214; 30099494]; [29320274; 84711793]; [89854264; 66894703]; [29095984; 46318989]; [10467218; 59671984]; [37104732; 68723054]; [57388155; 34785969]; [86975538; 42522490]; [8504817; 65114353]; [83716253; 80633444]; [47854300; 87619502]; [3980972; 83803411]; [39817254; 8382000]; [11837818; 88615877]; [29574226; 89209148]; [87957218; 43942282]; [17435360; 64688270]; [95721396; 65054149]; [34214191; 27805776]; [65910048; 37374367]; [1757345; 77341046]; [44070571; 10832229]; [59866843; 89038795]; [46278332; 90729968]; [20124464; 64898952]; [67210177; 78429310]; [666949; 48193740]; [68933549; 83438881]; [16369456; 82817844]; [55443361; 47726697]; [90151934; 88692201]; [30047444; 86176106]; [36071702; 62485956]; [40107671; 74119652]; [63853213; 56363989]; [15743444; 86951630]; [5024360; 59309781]; [92821683; 70317293]; [99248183; 30384556]; [35238616; 39547912]; [1097175; 7265747]; [9182244; 41547147]; [90245671; 54435997]; [66519148; 54344016]; [5476356; 36851950]; [47749522; 42861494]; [8338178; 14257637]; [59342843; 76632616]; [27915226; 17096532]; [71815913; 65804436]; [23879847; 51314472]; [18734058; 36305125]; [29419287; 31908932]; [3982087; 48094004]; [79231699; 26794744]; [26084686; 33714737]; [54050331; 85287659]; [93273041; 65288953]; [20474563; 8211588]; [68178721; 3033524]; [43232331; 29277310]; [40157663; 18397085]; [34034225; 68858673]; [37856266; 81906670]; [21990225; 46063529]; [89150084; 2767263]; [47498126; 94429876]; [31145170; 20636519]; [74598982; 30963887]; [21257236; 24955398]; [23652199; 75490344]; [37850040; 31143201]; [29086837; 42609671]; [5216529; 15408103]; [11417090; 98249895]; [98640809; 44208938]; [71022117; 46878780]; [3866952; 41319797]; [97317820; 26653982]; [97421419; 97353817]; [4211517; 9473756]; [73591871; 61249139]; [17801472; 79894285]; [10227611; 504851]; [86105888; 41067884]; [16328508; 8723692]; [44077766; 70841093]; [26546493; 21059285]; [77106299; 47763565]; [45850971; 97354486]; [89958937; 40960430]; [50744235; 9742914]; [10055462; 98415162]; [53026144; 85642178]; [25407397; 3614114]; [745189; 5618154]; [26287171; 15774000]; [25407922; 92918794]; [89367692; 12110733]; [93392812; 83514662]; [44473008; 63210141]; [72185704; 18526524]; [43101672; 19567794]; [273633; 84744105]; [21800166; 8823130]; [10940466; 15476109]; [19246813; 25369446]; [92422565; 78164658]; [23676842; 9856740]; [58875728; 76935882]; [46668487; 59025674]; [92895595; 72473759]; [53063783; 62408301]; [40198340; 89173141]; [44016667; 25678918]; [33770050; 75194313]; [27371009; 1416925]; [29433005; 67803693]; [11727175; 44511166]; [40084470; 35838853]; [7031513; 99162228]; [93261605; 28117768]; [99613527; 99450278]; [28881382; 91403118]; [55657191; 19049654]; [53509519; 40826555]; [27163691; 88081699]; [28127558; 15334224]; [17873319; 62866058]; [25693074; 91276297]; [36527138; 92590336]; [50711678; 19414483]; [58599740; 42503444]; [16817901; 17783367]; [6792448; 36606779]; [26653625; 24677383]; [16141875; 48244435]; [14882076; 80154957]; [27999919; 77306454]; [19261439; 16799704]; [56716411; 35043068]; [15377736; 68561047]; [23887664; 36994556]; [58762477; 63767198]; [54757376; 99980761]; [39364735; 8221941]; [12762942; 15339825]; [33681313; 37191128]; [12182673; 95148966]; [17984817; 6560286]; [89086981; 654520]; [88662257; 6571806]; [21592823; 53312101]; [40459374; 92999680]; [35774516; 43902262]; [66344151; 11772184]; [69130696; 68521896]; [71990758; 62078298]; [35070611; 67369189]; [75450329; 57500233]; [77380484; 48769283]; [64030214; 52636399]; [2162228; 4440349]; [88510719; 33903652]; [14878827; 21433794]; [61419668; 91439304]; [91943965; 37406768]; [84971027; 27650279]; [69528503; 62789623]; [72563668; 49526391]; [45766789; 73146102]; [26688289; 53279250]; [92909989; 73130337]; [2831995; 80980031]; [28959601; 74065896]; [1628302; 89548702]; [884151; 77868326]; [6048534; 16582645]; [55739606; 91488969]; [13112613; 38271782]; [13815763; 21588357]; [13310145; 88010531]; [22408183; 77613763]; [53621835; 33726463]; [83708924; 8010701]; [70745602; 7407089]; [27998737; 55068653]; [7277530; 3580100]; [82051044; 40931125]; [44618905; 92877680]; [58926613; 3088926]; [19729848; 53424629]; [41217708; 16211664]; [96564128; 22451220]; [74123765; 64613123]; [88396543; 30589833]; [36313387; 41811755]; [97463017; 42534194]; [37724595; 77266269]; [88669305; 46127924]; [15324689; 17365544]; [30948442; 1434660]; [86863521; 20001915]; [86975170; 89531935]; [14935654; 82482775]; [33976965; 44970034]; [40215416; 30282674]; [98361811; 3092382]; [82468217; 38916964]; [13382818; 23424829]; [68228009; 24027786]; [72256928; 11876569]; [18610184; 63720985]; [88769676; 6119674]; [5013538; 95693015]; [12908544; 36672782]; [76132249; 66425619]; [91242439; 84334862]; [15771194; 48840861]; [30688004; 40225871]; [48459009; 77057072]; [58751927; 29176480]; [56538063; 64310559]; [15128784; 20851173]; [20203355; 57762704]; [13922043; 68447813]; [80778946; 54498967]; [22437918; 67898548]; [88990947; 95546918]; [4715122; 26733336]; [27803111; 4818550]; [21093303; 22118904]; [90794829; 36267388]; [65928102; 44789941]; [55150983; 58109520]; [74541255; 16300291]; [85126800; 93509597]; [21969350; 33076805]; [44021641; 13980472]; [15003188; 15811624]; [28608281; 33531693]; [6411510; 95842187]; [99562663; 55595568]; [76325694; 75390809]; [61026865; 14633481]; [97607097; 375945]; [27485918; 39769219]; [14906909; 98492551]; [92964229; 10775521]; [60652632; 3043180]; [48155955; 72838636]; [87043596; 10097509]; [20754184; 6684749]; [34536173; 11793894]; [11007466; 53809649]; [13155577; 47804256]; [83175030; 8581142]; [90620439; 524218]; [87035694; 35880845]; [50776514; 24369944]; [11353545; 72422153]; [34140016; 50555603]; [30294505; 74650779]; [84068818; 19122466]; [65294955; 40855995]; [26062445; 39145457]; [14376940; 52773184]; [76492016; 30920183]; [21859701; 45283937]; [83502153; 70612917]; [2246721; 21760780]; [48846585; 87709620]; [32309658; 19241733]; [73620184; 23983554]; [40171957; 10397289]; [35634169; 33421840]; [45249024; 92365654]; [88931373; 22103661]; [76082209; 58082322]; [10172984; 27456290]; [69921426; 2786813]; [29179986; 14898788]; [9087225; 75986598]; [56114365; 35230615]; [95628626; 45293176]; [6145001; 96680790]; [51604976; 29961040]; [48390423; 61831655]; [27353792; 92169688]; [41348496; 43571113]; [13696712; 29985151]; [10853414; 63721620]; [35750524; 25803723]; [9940137; 9538472]; [41100707; 74659863]; [14399116; 97906608]; [96645490; 71846116]; [55444133; 46720918]; [50841165; 46991150]; [93380028; 30941769]; [26390510; 20038272]; [48384821; 72294863]; [43897490; 61809983]; [99620796; 38392312]; [76215290; 90116852]; [86193861; 52536142]; [2746986; 69712276]; [53681362; 91096682]; [11293106; 43018041]; [21228527; 22321613]; [39665425; 77303788]; [74033688; 38872256]; [89977745; 28020716]; [90814140; 57740572]; [52698844; 49744937]; [45052477; 54660974]; [46952891; 27708140]; [67077295; 45670855]; [82561770; 29866022]; [48714711; 33778171]; [7055663; 68641691]; [4734852; 30603644]; [38855697; 15224744]; [80141525; 32513938]; [74323486; 88181753]; [92963940; 98278550]; [86311921; 73245010]; [46404214; 59520077]; [84158217; 41754657]; [38502678; 84903404]; [13801095; 42600532]; [95285472; 11382055]; [95475915; 79993078]; [80395855; 45644474]; [86356803; 19697060]; [77568691; 8352850]; [31413300; 42989021]; [72359936; 5729614]; [4539808; 85179797]; [5579967; 69248191]; [73485070; 37289744]; [5782875; 89860366]; [73120198; 64931844]; [60420635; 68372491]; [79106770; 48702053]; [74209884; 36089139]; [81668321; 69477849]; [39155578; 4566516]; [19012812; 36065108]; [90382468; 74895532]; [51089067; 6002268]; [53054834; 19888628]; [83454674; 13365876]; [85197804; 28842472]; [52698152; 54916550]; [50536372; 89350274]; [22319126; 3017673]; [69550795; 29023092]; [57592233; 47136007]; [99516450; 63812350]; [73842580; 26201153]; [46340379; 6299058]; [46254977; 98340370]; [71092738; 95465761]; [79741017; 78650986]; [19153358; 85448706]; [1252110; 86267247]; [32303942; 10285740]; [41571621; 96295007]; [87777523; 14181437]; [18171418; 98403535]; [26822418; 31847701]; [87846522; 87222580]; [71896737; 75988582]; [4590800; 20801440]; [81234689; 72919846]; [79499373; 60160536]; [79150016; 75040699]; [11260116; 38331630]; [61924045; 89233447]; [61925439; 69801573]; [46164179; 43783918]; [16575126; 54830984]; [73923043; 81977605]; [71567356; 85853649]; [28625388; 12610326]; [65585838; 58356823]; [35115179; 20071066]; [4850689; 38442127]; [78359208; 13764927]; [9071171; 52330274]; [10666440; 91910850]; [11437969; 47233046]; [58321618; 97198752]; [35349676; 79628067]; [87893984; 34277663]; [12181508; 82549431]; [31094087; 11767346]; [31958283; 80334555]; [91833528; 41861077]; [79810635; 35620165]; [40313233; 57374040]; [49821636; 71385229]; [56978788; 37395061]; [33378484; 63075327]; [36701879; 38229212]; [95205181; 74121566]; [21770243; 21945140]; [27254096; 81699292]; [37234975; 38169597]; [32851557; 33701968]; [35338258; 22389232]; [28394145; 66880584]; [59696148; 85985970]; [97566575; 45083335]; [52631543; 84710981]; [74446633; 82941387]; [24724090; 75351329]; [86155926; 23267344]; [10131002; 50124340]; [43960334; 38182557]; [38100638; 11492078]; [2750196; 64378374]; [54152013; 28183130]; [58933670; 6375592]; [73796545; 46849325]; [47934941; 3945593]; [12618382; 74195016]; [83238176; 55805172]; [61760814; 62863232]; [87461939; 68174828]; [33742062; 37711234]; [41352941; 27209792]; [21376955; 2021486]; [50374761; 40529055]; [24485561; 65137355]; [15829658; 6945734]; [11388127; 68115332]; [4986803; 27534120]; [89623488; 54774422]; [4995512; 15245942]; [74601495; 5940178]; [97590696; 38451056]; [18874245; 85931369]; [39958078; 83095371]; [32223192; 25507651]; [2508139; 68448024]; [3401603; 46505786]; [59247896; 26857869]; [13970869; 18357949]; [48639417; 51972727]; [36154201; 82523054]; [47320117; 62929213]; [21044444; 92417676]; [29006448; 1206674]; [20880919; 71014965]; [39303446; 67053727]; [45316276; 22207389]; [54883587; 5692539]; [75873064; 94615490]; [80804189; 1623541]; [11075235; 57184730]; [76831791; 8534766]; [81285654; 50962291]; [33585226; 96129242]; [10544210; 2444752]; [430228; 77397001]; [20513234; 18482246]; [28471312; 73208189]; [96776998; 18002832]; [7220817; 71681456]; [80627356; 9799349]; [17300168; 61685199]; [1618342; 16863992]; [31304050; 10668588]; [11118699; 20061116]; [59220608; 2530029]; [64042765; 98779336]; [51085949; 66935593]; [47727674; 53446013]; [16125815; 76774313]; [5215958; 62492989]; [74403202; 55931370]; [74914648; 99747646]; [1239867; 88504971]; [11315627; 45207135]; [15430937; 15080892]; [81471352; 7308702]; [3902826; 43311475]; [57278705; 17445041]; [67853441; 4872257]; [17055418; 33148806]; [20302262; 88920359]; [70883118; 22038141]; [70465653; 38148425]; [71690020; 20498541]; [26243962; 45693388]; [21991300; 77177521]; [82756774; 29738303]; [89336421; 36691491]; [97434525; 96894697]; [22001317; 89380607]; [82053432; 44597779]; [75425721; 13894947]; [1064378; 32519332]; [10292131; 7082511]; [5701966; 34077313]; [84770388; 88136567]; [35483480; 17130114]; [79215042; 67766742]; [50524297; 475365]; [39278402; 48905828]; [25723122; 19967381]; [53900061; 9738930]; [61516942; 87100258]; [42910250; 39968005]; [81195967; 84515023]; [66163451; 24715934]; [39413800; 6173690]; [71803773; 4204315]; [66999549; 12032151]; [89846495; 77419219]; [48981903; 16396915]; [91482842; 34120941]; [80488374; 52899758]; [71396166; 565306]; [59048139; 27477115]; [63983423; 25287924]; [74949096; 69314675]; [71649266; 59740682]; [43653034; 45569210]; [13517966; 59325625]; [24345162; 6310292]; [61580591; 23255732]; [66993537; 29404379]; [63392201; 82375025]; [99303209; 40175042]; [40187401; 23790346]; [26602532; 41206960]; [19363381; 73433896]; [95341962; 90054401]; [63370717; 55183872]; [37758591; 92045111]; [20523531; 96065823]; [8960061; 56117240]; [58457769; 54292728]; [67256140; 93358242]; [59905377; 6623237]; [18314212; 46923036]; [94209608; 39403825]; [86676083; 12488816]; [47485544; 96324607]; [99907769; 15810923]; [23262776; 8561951]; [67570888; 55823197]; [22108894; 88840051]; [27272965; 47829010]; [25847800; 66445764]; [91056392; 97741543]; [42380256; 41027104]; [22306717; 2739908]; [17946198; 30820703]; [35587459; 40427235]; [49748707; 70522047]; [28989656; 21880089]; [27149562; 88713779]; [85268080; 40611289]; [25562860; 8609386]; [98509612; 86873035]; [85952102; 38796318]; [15234132; 68869940]; [10376825; 78915059]; [24899595; 18143114]; [19296379; 28593963]; [42671281; 31178591]; [64579064; 60795683]; [63845046; 39888317]; [11734615; 36204309]; [7103905; 58800979]; [36996690; 55808502]; [16414275; 89105612]; [93565372; 94159106]; [3939460; 9779798]; [22812882; 24923082]; [89548818; 95992162]; [18459271; 22332229]; [55332043; 66617130]; [31841708; 32490628]; [38792468; 75438313]; [72107130; 66899851]; [90323647; 4544910]; [17084529; 97516880]; [33733857; 22709100]; [19081341; 58821795]; [98483342; 51566096]; [11405674; 10025489]; [46985970; 60468115]; [24420718; 91732751]; [73333201; 82225847]; [24075087; 55216581]; [1432001; 78873703]; [79560299; 38568970]; [41657239; 75518004]; [68768497; 34300875]; [62782044; 33829596]; [38015017; 50549033]; [21970579; 68743511]; [39116433; 29418363]; [22094497; 83869534]; [31008132; 95119585]; [91222328; 3480661]; [24317325; 59026349]; [97155462; 13600972]; [15503859; 32184056]; [98430982; 31739265]; [33670095; 23070787]; [78437146; 94982091]; [41018944; 27171646]; [52901831; 12105791]; [29914072; 45999492]; [16136544; 16142031]; [13450785; 15742951]; [67040385; 60271551]; [50669367; 3252827]; [69533672; 63087334]; [83626990; 54794357]; [77565936; 33851693]; [39975919; 38951544]; [20105499; 38577799]; [9530178; 47606147]; [21085249; 32815525]; [23965044; 89624248]; [84473814; 43860168]; [76013127; 60481050]; [66776812; 94851149]; [33403758; 64284360]; [41313952; 21371641]; [76387173; 87889704]; [47106311; 36093562]; [3293841; 76017922]; [31616212; 14786596]; [78938271; 44432280]; [67109005; 9391665]; [89516967; 89282597]; [75156289; 87428712]; [96737223; 87512845]; [99912399; 50753351]; [68005141; 70766076]; [27150896; 86040368]; [70086961; 9068224]; [81331868; 53266597]; [78094655; 74558960]; [87329171; 82166519]; [56309652; 29619745]; [91320003; 10287513]; [52893006; 59562664]; [89148048; 91402228]; [48647377; 28238457]; [27475855; 96206375]; [33787057; 56313358]; [44530630; 2087011]; [71159462; 79937126]; [6987879; 9903464]; [35900333; 25817270]; [43295031; 61201710]; [44110303; 64400466]; [1538383; 11532952]; [43325626; 22413074]; [65487872; 26778383]; [93266772; 7006975]; [79729330; 1419042]; [62078017; 12138315]; [20213769; 89545345]; [51201491; 56496158]; [55901830; 77143691]; [701202; 95698937]; [31767206; 5403724]; [86976229; 43438902]; [47442090; 55534522]; [61220703; 84153790]; [63393767; 60310132]; [37523873; 57118748]; [3343464; 31198855]; [73341709; 86723463]; [92800763; 87958699]; [40650463; 12884397]; [30113215; 49611589]; [81476357; 68708636]; [27432225; 63757392]; [79162138; 23261853]; [23965730; 87202500]; [32738713; 91452823]; [9442359; 33157439]; [60824805; 5161884]; [77156849; 16743314]; [13748440; 95884001]; [71505697; 8417199]; [17047477; 43428501]; [56037880; 4146687]; [17074607; 29842862]; [55016572; 98333355]; [89094229; 23895438]; [40849615; 21023320]; [27384800; 69057853]; [34942116; 31953842]; [43635228; 61662086]; [58978044; 19214874]; [59637709; 63946292]; [46925439; 87867372]; [41672756; 8454099]; [69891553; 68176231]; [40784791; 85675793]; [72387172; 93211778]; [65201294; 10176238]; [4777681; 64713389]; [30779947; 18876358]; [50095296; 61450098]; [51300092; 39016367]; [34613676; 8576403]; [66414160; 24386477]; [84329544; 73230935]; [11909523; 29899250]; [47262306; 45277922]; [48007580; 93313546]; [56653904; 5667779]; [45044012; 38242747]; [28663991; 72678913]; [4298276; 96770145]; [6406529; 50117604]; [57960386; 26037870]; [78343011; 20330328]; [18603648; 8769799]; [98591195; 40147291]; [79857797; 79614305]; [48646654; 99564586]; [60577779; 6581272]; [13578716; 22870185]; [2004252; 2230709]; [42139273; 36503696]; [89613392; 11139863]; [1861113; 52151157]; [2764189; 44627964]; [18241070; 1026441]; [16726631; 38097429]; [22611051; 64270272]; [84969432; 85829114]; [16867849; 10933307]; [11906831; 82613726]; [34676779; 67939472]; [64063327; 59487190]; [19645626; 88722299]; [50839815; 53241427]; [97152241; 27540360]; [95903942; 55497421]; [21443119; 7374689]; [29375005; 51977444]; [7896595; 79749671]; [72610539; 68251617]; [54220980; 32725507]; [12314496; 20243224]; [15229544; 16392273]; [39641265; 24720944]; [10471909; 15683818]; [67529029; 19299484]; [93670600; 41292502]; [53347497; 17762288]; [2712785; 49922620]; [87600814; 22852876]; [86625982; 73630538]; [83679936; 46177962]; [14761786; 87565675]; [76297777; 15778394]; [56369356; 31207691]; [77151355; 94701245]; [66824020; 68198988]; [62722052; 22800387]; [74648129; 43738369]; [13675510; 95204415]; [90516458; 46731096]; [22013800; 20810338]; [44963100; 28314166]; [66966474; 29800532]; [96802343; 24717285]; [91798067; 39824950]; [96208491; 53800788]; [17595781; 79403387]; [49086237; 23955030]; [91115322; 3679540]; [90464337; 78900852]; [30532946; 24653395]; [13135872; 94250187]; [25491200; 75972012]; [81847667; 14587107]; [98813142; 86961799]; [36171151; 18128644]; [44954338; 1795770]; [49781058; 32912870]; [15730632; 65395658]; [85492543; 30978701]; [95633769; 42758310]; [82611106; 67710566]; [16612118; 55828248]; [15211974; 14663300]; [18492390; 69707318]; [43977908; 96558003]; [60420740; 87853335]; [27072574; 97888907]; [11444391; 42177257]; [47090112; 11733585]; [24803115; 48274403]; [5692933; 45662439]; [45859856; 10377197]; [29640260; 90108664]; [31905538; 20666180]; [9168773; 89836688]; [75009198; 76262652]; [44062177; 68971597]; [98917907; 89201384]; [80438296; 62659417]; [53516636; 13623274]; [21785501; 83181709]; [57973994; 12826713]; [10592747; 38906544]; [78024553; 80824440]; [88903550; 17837696]; [1835542; 51684682]; [59554425; 68791420]; [97684986; 29139506]; [62421818; 60741795]; [75565930; 94578226]; [31670401; 63247958]; [26155187; 42595169]; [39479490; 5614121]; [5414565; 51956818]; [30336672; 44909863]; [47024313; 59364968]; [61850545; 55985349]; [84449183; 44125706]; [95940085; 53758590]; [86518533; 80809193]; [7250666; 81186336]; [19494728; 99539837]; [6708026; 80609917]; [4926977; 52272918]; [38483098; 83358512]; [79725266; 6184985]; [97381584; 66742041]; [60564157; 39820681]; [31894743; 10365723]; [76019265; 79911918]; [38121864; 25726331]; [34227574; 24670203]; [51725091; 75750127]; [90862291; 43638569]; [71676577; 14056896]; [37912264; 7242413]; [24531686; 27899641]; [84804369; 41968536]; [67552766; 55122016]; [36300118; 79930063]; [85834269; 36725178]; [59097359; 47544499]; [61205602; 25916907]; [59087559; 15154149]; [29800275; 26576493]; [99530003; 33264244]; [26344347; 22423679]; [4228076; 24678965]; [76647114; 13332686]; [86156922; 46454966]; [51704372; 22885872]; [72539134; 50452380]; [99553552; 47598872]; [61312470; 6325213]; [39310392; 55709602]; [46434078; 9170507]; [41032200; 70811693]; [39596332; 84504159]; [75326073; 20529420]; [11776372; 80685959]; [80359120; 22847642]; [26391729; 72367715]; [46365505; 14040095]; [58683974; 33951512]; [65402999; 91518573]; [19779517; 19756490]; [79533365; 30433037]; [52999344; 21022093]; [63207296; 60694580]; [40751578; 14908867]; [69046150; 53099435]; [86360156; 86766817]; [19792819; 37401595]; [65570860; 78687983]; [13992548; 29105505]; [70992414; 51594488]; [1022052; 63602122]; [30520698; 3621528]; [41685121; 16358347]; [9645721; 94920072]; [63178279; 35193402]; [80057946; 8769739]; [12231159; 41082736]; [65425177; 59903833]; [180530; 73922629]; [19490509; 86523500]; [38045996; 11443355]; [76883341; 8047885]; [92168593; 68231574]; [58404872; 65068520]; [49735599; 61557186]; [46892932; 7440267]; [15299307; 7782949]; [84346337; 11125589]; [35128542; 21522491]; [70977283; 4689982]; [43635461; 84429583]; [65757345; 57294686]; [16286561; 18877189]; [63469554; 83342084]; [62084987; 55866038]; [51046907; 15353885]; [98634340; 47234042]; [74859890; 28138227]; [84282839; 26654628]; [95232214; 98343069]; [78265767; 46276471]; [97458955; 70212437]; [16606103; 32817522]; [66738607; 97594326]; [71253250; 52079410]; [97863645; 56006171]; [84415762; 97643789]; [45294941; 94273349]; [13014391; 86323870]; [93150188; 40386413]; [66607758; 64302641]; [46683376; 84529711]; [46076621; 1864873]; [58284900; 21507335]; [30732555; 22462973]; [82295386; 54416718]; [72127235; 52858601]; [42984936; 3355900]; [159057; 9278051]; [63619368; 33253284]; [38388807; 70490820]; [59090310; 32441107]; [79574438; 42904222]; [22635163; 36493573]; [75662410; 48069635]; [52755867; 60738184]; [9335588; 26396698]; [62707061; 60403839]; [51342974; 43255061]; [35645689; 44274832]; [88654090; 84737766]; [94360232; 35956792]; [20423334; 44844595]; [43242261; 47972438]; [59442555; 6786549]; [38833063; 51355163]; [2926795; 89088950]; [57036438; 2606168]; [63872412; 27395390]; [94187670; 69101127]; [93351169; 9040310]; [61233618; 62273862]; [57996301; 19169792]; [85077347; 2058406]; [99516538; 87144806]; [79280558; 54286331]; [51861147; 96190013]; [43309150; 99763808]; [40913841; 73119010]; [34627627; 3857115]; [3236099; 11911299]; [39901960; 94710370]; [30761091; 93554393]; [19685237; 50126511]; [26744815; 92878114]; [32133654; 13206702]; [4993259; 60908299]; [16324201; 74253382]; [73676073; 51203349]; [51222830; 3005501]; [8977871; 47049803]; [24576280; 16149409]; [22361357; 77386777]; [78069264; 20999992]; [16036167; 28121825]; [14393179; 23363045]; [63419664; 74714385]; [10012141; 36833590]; [93140849; 12637652]; [53380080; 96549432]; [43221434; 53314599]; [81048439; 68415404]; [35392705; 87586355]; [27301292; 66540185]; [36948252; 30803386]; [99971348; 6572439]; [58456580; 37657516]; [80824946; 87972653]; [27867858; 65771548]; [75904889; 57829733]; [87409461; 42851288]; [63308151; 28215528]; [43396759; 49086016]; [61672058; 99654500]; [97536581; 1139912]; [27109473; 35205727]; [34976917; 50887973]; [20712427; 73446668]; [56452221; 23145595]; [24039981; 77299553]; [55411097; 13784327]; [80948322; 85245523]; [7820615; 75825968]; [14711806; 39814471]; [22592133; 66626318]; [53930560; 95011110]; [20942777; 11964439]; [17839554; 54798439]; [17748065; 4581517]; [64691653; 95799454]; [81840048; 96387277]; [35361315; 32082067]; [25419347; 39373242]; [54181627; 58405856]; [12027507; 71338052]; [33128927; 13272586]; [68180499; 26539741]; [58644616; 94728540]; [94433305; 59239936]; [88754622; 89334462]; [89919650; 82758918]; [1588317; 78408941]; [98884841; 7977333]; [38424210; 12426582]; [36265683; 53652576]; [62428814; 2543900]; [12997620; 74182410]; [1991744; 35029894]; [98491772; 17149220]; [48237511; 89817320]; [80646718; 36956293]; [34660115; 31337859]; [62466649; 75470991]; [37645299; 38336909]; [16306803; 98066753]; [21348119; 65709250]; [4983345; 14494846]; [88546314; 67833219]; [45202667; 73875516]; [63296280; 95109910]; [60626377; 710643]; [50283626; 93916486]; [55453216; 27533722]; [21634348; 12754462]; [58680547; 33891333]; [17706249; 51084114]; [80474575; 38599844]; [71063995; 20444662]; [34420028; 99725892]; [28516078; 21557297]; [40753432; 18941532]; [71062948; 65822424]; [42663134; 32802771]; [69325536; 25723282]; [80051222; 61144146]; [59413870; 29279778]; [67146065; 25243122]; [36457247; 87261881]; [12425137; 19198043]; [74691459; 82503205]; [43300455; 19560867]; [65432997; 94563785]; [15503436; 7824381]; [85667989; 57873617]; [59669507; 18876594]; [76948703; 52832968]; [77758476; 30762677]; [13028345; 33089449]; [36098836; 46303503]; [98274097; 971213]; [97936556; 13041339]; [40450032; 51349724]; [88184463; 56162703]; [45039439; 70056641]; [61380672; 61097327]; [73612237; 62008404]; [57257289; 25755928]; [9097023; 78874447]; [96369423; 54223769]; [76164273; 10856628]; [40910456; 88848402]; [82000036; 41158189]; [4659502; 9135854]; [14081946; 91697470]; [45380867; 22674153]; [17775356; 92997212]; [72430321; 90998605]; [72503851; 5215309]; [82858079; 61799032]; [91137219; 94704549]; [36235368; 57732071]; [11176748; 397610]; [75299268; 98925968]; [53848466; 74218391]; [98347537; 35795129]; [65469362; 52533641]; [63848185; 14817944]; [4213835; 65592490]; [61098456; 47557012]; [4042982; 426845]; [79104506; 99648985]; [93153759; 6308996]; [48382441; 13314986]; [54837457; 30132609]; [93136235; 83881548]; [59969636; 89339530]; [50394104; 39205193]; [14097587; 96171691]; [64959081; 74418924]; [4177554; 2758075]; [28804215; 28923861]; [86115286; 66919333]; [89786442; 9030458]; [37162473; 35867466]; [25899476; 78049580]; [95879119; 81257760]; [35810732; 23358995]; [83706031; 78627853]; [35918556; 69487037]; [44966980; 24913803]; [41714440; 82430403]; [16842714; 88039053]; [92596410; 57334405]; [68022070; 59978051]; [82278370; 85543067]; [84816682; 82460997]; [39081064; 87101860]; [71338877; 10552186]; [97063447; 86808050]; [83380315; 67496920]; [62223947; 89605040]; [90926414; 77784247]; [83699031; 73094062]; [96244074; 71167465]; [55329887; 37459363]; [73038918; 32747910]; [39603596; 19792866]; [34170171; 38824567]; [13719050; 41308374]; [90462459; 2268594]; [68182920; 4088083]; [69197591; 5483982]; [71304521; 98826118]; [9519687; 89441053]; [97098875; 59239609]; [50576152; 88360667]; [70271951; 78498986]; [20352804; 50143500]; [54948729; 82138555]; [82534304; 51840748]; [28711536; 91373217]; [73878350; 71247118]; [47338314; 6707007]; [30563190; 17932172]; [27657822; 72569085]; [73530581; 65757159]; [12866291; 97298117]; [72965691; 12459489]; [14663419; 5654662]; [58691337; 54712901]; [29749711; 86355498]; [42610984; 27311525]; [74476685; 78747347]; [84727913; 94967737]; [24034727; 24762267]; [85130825; 15379414]; [77698229; 98007562]; [31587669; 16831302]; [30883944; 77745826]; [59568150; 67179317]; [50118551; 43632168]; [4823793; 25119816]; [20099238; 96426224]; [70609981; 72719843]; [22346318; 44866995]; [2289808; 22683561]; [27524339; 84397598]; [42665788; 17924826]; [55964242; 18826699]; [49685869; 2768947]; [42837639; 44302925]; [22478940; 49370423]; [63884958; 29837471]; [27849888; 8994098]; [10222048; 47041745]; [33861782; 25353344]; [18152166; 81158710]; [13996699; 62759087]; [22723156; 62615022]; [58363915; 65973515]; [24952457; 95165043]; [73156025; 27951557]; [85415141; 54104489]; [39981117; 96201820]; [27110335; 45885672]; [3674036; 57399662]; [62680932; 21727663]; [18383678; 61229983]; [79444138; 63414870]; [48191859; 99899511]; [70471795; 49452205]; [26403474; 59374881]; [42140619; 7152961]; [3842249; 5756918]; [36626837; 34685556]; [28364110; 10472037]; [48202026; 65950766]; [75550204; 2390868]; [65329421; 20516853]; [2836718; 98319302]; [61906797; 79309784]; [95448385; 62816659]; [18807781; 43892986]; [91927564; 64043673]; [34049554; 73636147]; [78055710; 57951270]; [73374732; 70515017]; [22925463; 65962851]; [16035869; 80053349]; [23911377; 45617690]; [31167604; 84834076]; [55936830; 68416491]; [38344653; 94497400]; [73414139; 87528605]; [82792127; 99782811]; [69189038; 3326635]; [27316168; 14993895]; [6418646; 95874534]; [27469318; 22136411]; [88599023; 3428678]; [73885269; 96100205]; [69934858; 52108696]; [79567566; 7360355]; [60919437; 82911240]; [65182621; 98077419]; [47880273; 10165920]; [41706162; 57482304]; [43694700; 74417073]; [50916366; 11531534]; [51018419; 12826277]; [79782787; 93767070]; [66333151; 42353332]; [85624081; 95352420]; [18787507; 50418261]; [13795618; 42244784]; [65618890; 12182559]; [93826401; 70169201]; [26564657; 94409703]; [71241678; 29112805]; [4938032; 88668209]; [80943641; 6805415]; [17378339; 42361150]; [20662757; 67713742]; [4657434; 94316719]; [45023005; 92067306]; [90446214; 810324]; [40306260; 91261216]; [41852753; 79811916]; [48748196; 35655058]; [64489253; 67038634]; [41338242; 17205891]; [78153468; 66556135]; [94008850; 8079826]; [40448751; 50337001]; [9666082; 7492743]; [78117097; 13508451]; [17262893; 3022321]; [37143359; 53716032]; [15997237; 49859545]; [61451038; 76281178]; [48089861; 23357245]; [91534564; 74985535]; [40025898; 66382742]; [9686391; 97803931]; [30851141; 880843]; [42390864; 62410604]; [20200021; 36273884]; [10766522; 29243852]; [43835547; 80472320]; [72611924; 62860479]; [95083636; 67205441]; [32431866; 36097411]; [26606300; 50767709]; [65057172; 44980223]; [74673154; 54980785]; [78316764; 98626753]; [56518364; 67962425]; [99776324; 24587643]; [55787765; 75742166]; [39334716; 5599528]; [42303486; 17113690]; [8563570; 90014514]; [31572455; 82337793]; [81855906; 55879135]; [52561171; 7759933]; [87603219; 19539952]; [43868114; 31923612]; [64218117; 12799442]; [49012862; 77492257]; [50853134; 62177209]; [65481825; 50543212]; [45206020; 72461013]; [72308191; 80321297]; [5963086; 10059541]; [85084315; 57635088]; [61590551; 10728046]; [84542616; 35041562]; [27238340; 56146138]; [12013574; 70401482]; [3733036; 26562705]; [60587492; 92404319]; [28342267; 87183805]; [14371337; 46767774]; [96324308; 61953637]; [21762572; 2890092]; [63036114; 33353438]; [74108296; 52840138]; [15425333; 14483865]; [92349061; 51811974]; [13141226; 84325295]; [96245617; 49881016]; [68773053; 22598641]; [54405001; 4073778]; [36381770; 88268630]; [22687107; 34592624]; [95012367; 66750038]; [54810425; 1871720]; [74604364; 47950367]; [12630689; 45142928]; [10162305; 3958156]; [24245416; 36835770]; [32205541; 52472530]; [58104412; 14744326]; [91882234; 22836076]; [82986239; 33818032]; [66627559; 55053735]; [99514938; 15571786]; [66710856; 30251551]; [70442702; 54714840]; [97146733; 50066797]; [96735220; 34873656]; [98180713; 7469423]; [96896217; 31303915]; [1233264; 37414250]; [57228314; 50174565]; [89845132; 62661211]; [79730170; 249487]; [69010156; 48648369]; [9629235; 88633032]; [89577849; 78497928]; [28488614; 21470325]; [52748457; 40486906]; [73029333; 37158937]; [19500947; 67461087]; [51215855; 58845440]; [65327220; 79267502]; [98185597; 18038928]; [64057732; 56855733]; [70676919; 37215379]; [8243994; 67657584]; [88940646; 42925050]; [23342856; 27008278]; [53239457; 43376501]; [50945785; 37537702]; [2550402; 89514251]; [3602780; 38018264]; [85385034; 34494353]; [62380906; 97458307]; [65398366; 80322817]; [51458329; 2314117]; [78249878; 27336282]; [19082800; 93221175]; [11979210; 23385962]; [1421922; 44847764]; [71943541; 93137336]; [24589960; 74654508]; [76603518; 18388157]; [53731728; 35289057]; [80809215; 96482699]; [95497835; 27269007]; [38779165; 97255843]; [83923806; 71766614]; [69155772; 95173967]; [40111114; 88302155]; [29353133; 52983282]; [12146311; 6805495]; [4253500; 51948121]; [89004971; 7454772]; [41237852; 50797601]; [51992202; 56229346]; [79909860; 40927468]; [75782321; 46309012]; [57883983; 62302517]; [70390323; 41945673]; [934578; 1682185]; [26225936; 23361860]; [26469252; 78533225]; [93444731; 5456866]; [57382098; 40284266]; [65019868; 29899791]; [99184591; 94733114]; [52552236; 56413450]; [21332792; 33377433]; [94320000; 46332371]; [62361000; 47746091]; [8611316; 22157904]; [51603044; 84046105]; [47839757; 63096149]; [54856101; 18439111]; [28819374; 58165358]; [5258841; 26599385]; [8627785; 604704]; [64482488; 30796245]; [94845840; 69911075]; [24634012; 62243939]; [57552482; 73761418]; [26206799; 52468282]; [96138264; 37843235]; [16012201; 65891833]; [27746959; 29027578]; [61819094; 19534967]; [83164879; 39347021]; [24055027; 28350929]; [51571312; 45285270]; [14922679; 82467499]; [7819265; 27240377]; [48071993; 68951274]; [80099574; 19507334]; [65592845; 26628335]; [64541404; 12832595]; [89416723; 5145273]; [33389436; 58329177]; [14517863; 18857829]; [92400846; 38578708]; [91747314; 28469235]; [81128553; 3486056]; [44069086; 85296606]; [64929616; 75160297]; [93355056; 77912174]; [62364446; 83568478]; [29275529; 36293047]; [57272972; 5113153]; [88402637; 73171257]; [46387684; 10592720]; [27717313; 40621102]; [89655326; 5017876]; [4593219; 25369357]; [93977846; 89738433]; [1223498; 34296259]; [23594215; 25733130]; [15713211; 91667934]; [15153095; 30026436]; [24121672; 99059335]; [91132368; 62224976]; [92224280; 97677024]; [18593312; 43844934]; [26203666; 40371269]; [61706906; 74437639]; [96383023; 28322311]; [36021317; 27184070]; [55769593; 28506558]; [46296236; 96645620]; [5395511; 71913771]; [30341191; 30516944]; [97004762; 99379412]; [15351158; 24082706]; [25064085; 28934751]; [40082093; 57772144]; [47059979; 8413803]; [31723528; 91835039]; [58420444; 16236394]; [71537163; 99811414]; [70480170; 5930337]; [41199082; 28285545]; [54985848; 62534901]; [48392153; 64947167]; [64009743; 77225129]; [14244313; 17112281]; [35714984; 92441104]; [44444793; 46130520]; [26513243; 62490544]; [83589441; 41423851]; [58663657; 10783448]; [64147283; 87609354]; [91028499; 81599116]; [20693693; 5906471]; [34255075; 58485719]; [93348281; 21211000]; [74358522; 86495856]; [86694129; 11158712]; [36040577; 53963258]; [68043687; 33247843]; [21584366; 84286285]; [90650960; 15701051]; [4763903; 98883485]; [33589008; 64234447]; [85494170; 89928008]; [10567302; 52389186]; [87096058; 23802102]; [2370515; 88913214]; [48766726; 31213199]; [34369689; 65241237]; [18652768; 41740060]; [61762864; 46630541]; [27919807; 53330677]; [28257248; 7000919]; [27951028; 63602992]; [39847540; 97020276]; [54255833; 49384805]; [12233197; 63697457]; [4336178; 87834142]; [89154779; 34710570]; [45738499; 80524743]; [15056575; 22470783]; [76404706; 36490285]; [33260198; 7440678]; [42641024; 66542387]; [12561064; 83953654]; [32761949; 56863776]; [32591483; 26158373]; [20610368; 61494092]; [53292692; 42672557]; [22274297; 13845842]; [14017063; 35008141]; [54480019; 10418176]; [64937704; 86722651]; [29509661; 21755683]; [45590659; 75200843]; [35713801; 25136310]; [56597135; 69817604]; [40241696; 1996049]; [73584846; 48487154]; [22583563; 42355292]; [86950312; 88308498]; [23728374; 23257514]; [79519663; 85045500]; [60807184; 94941781]; [5183792; 15587681]; [28262390; 89496660]; [71851529; 95949495]; [44428061; 13485089]; [46497545; 14752860]; [97068069; 46856286]; [18823851; 50804233]; [3612137; 72009171]; [37679874; 98131620]; [75345485; 99047899]; [8742072; 46758570]; [89295498; 99012293]; [33483940; 22695208]; [1135824; 74573497]; [32815185; 92321805]; [94042932; 19072926]; [61849867; 8168026]; [10909817; 18732807]; [50134292; 83151199]; [61020983; 8361027]; [64085806; 19417544]; [19026417; 46882539]; [67207029; 7418865]; [91245843; 17276098]; [65812780; 5079940]; [69379328; 42037659]; [74053759; 12411523]; [76412183; 47654561]; [8630454; 3290124]; [34243354; 74192804]; [73598589; 5922182]; [95099772; 3638018]; [3374070; 94276487]; [27025957; 52106147]; [76075261; 71358584]; [71602704; 81486394]; [420046; 5960049]; [75401785; 45120407]; [21417261; 26583837]; [19596039; 8370877]; [85821264; 38021241]; [65460990; 16761002]; [46713324; 55638288]; [38866123; 13912102]; [63930918; 73667701]; [83129506; 15069295]; [52238334; 52439233]; [17982874; 98604041]; [7105496; 24516775]; [59609225; 37223113]; [57345339; 18408973]; [56828219; 72299668]; [13154704; 62821433]; [17812420; 19700578]; [57024108; 46658366]; [52424881; 27592396]; [42280234; 10413366]; [89771017; 89977796]; [95001032; 28954694]; [58378907; 11314916]; [78639664; 88084005]; [96964457; 87088862]; [91130729; 54005087]; [26145016; 96755242]; [40283280; 76328381]; [94925143; 97709512]; [53658726; 43181433]; [45711978; 85321568]; [74613434; 89356019]; [23973752; 74990650]; [2360699; 92467720]; [97427535; 35816093]; [27504254; 79349959]; [8802827; 99769405]; [69708332; 5826346]; [7792376; 69294202]; [23442210; 63842353]; [4523777; 72257386]; [5403642; 43561498]; [2834769; 45570152]; [46790434; 84279223]; [42774320; 27763125]; [72602659; 81974112]; [28518767; 11443271]; [11053489; 70175200]; [24803573; 39215216]; [43984378; 46346796]; [47609888; 43743064]; [66108571; 86248660]; [46486650; 54183302]; [19059160; 77307892]; [86771466; 29697042]; [96169689; 5288295]; [81930153; 59038579]; [73772431; 18643653]; [15863484; 8656257]; [91441323; 69323178]; [28289177; 45362126]; [55779848; 71691331]; [24465451; 73170611]; [9579986; 1722334]; [99058466; 49918194]; [9741660; 96087527]; [4924182; 3926161]; [60825051; 41910683]; [55261554; 75608106]; [54459817; 76081469]; [2971859; 83606412]; [34773184; 90870342]; [52303758; 43920610]; [90592986; 53718843]; [13627722; 78947747]; [36383245; 19202165]; [38683639; 84243032]; [86676817; 6409037]; [50168491; 90618239]; [91430951; 99326362]; [65237893; 92326825]; [12877384; 53330077]; [91741536; 31475801]; [13625311; 60288876]; [45147183; 38479683]; [9845565; 99636692]; [83383275; 23749526]; [61770520; 75213134]; [24613170; 27746532]; [26206015; 10360665]; [20196678; 63421334]; [60444707; 68501917]; [81501487; 19602349]; [40444984; 27325995]; [62270978; 45574010]; [80486066; 53264390]; [6174365; 21163537]; [62303957; 76742883]; [35845496; 36409292]; [452306; 22589435]; [26706810; 26019111]; [85137507; 93521764]; [70952216; 13779794]; [56570164; 77723979]; [20391934; 33188364]; [75976961; 1124492]; [42470350; 85798147]; [81170507; 72190814]; [51722827; 10733485]; [46042534; 26545135]; [25358872; 95678142]; [88839529; 23288909]; [15151394; 86345544]; [49624103; 43828389]; [57498476; 85428341]; [20751868; 80806128]; [57763541; 90335369]; [24558949; 31355510]; [54329148; 52425742]; [40601186; 85547755]; [46837974; 68470241]; [67282410; 99739498]; [97003606; 56949670]; [49269535; 38228624]; [24344375; 57564492]; [71111634; 99953862]; [58588733; 25278238]; [35960110; 35046448]; [16069300; 38126084]; [30360824; 95158750]; [37810627; 77893288]; [93700703; 91889473]; [35877642; 85301857]; [4436709; 94613066]; [81155733; 79040456]; [2606585; 82877581]; [9631028; 22863641]; [11063981; 12291256]; [77250853; 23277093]; [65698905; 66047261]; [79138812; 42158122]; [12289940; 39067229]; [33888559; 19653819]; [20756876; 80054597]; [68335785; 29913822]; [16625696; 62557232]; [31844025; 23403472]; [86137208; 97809466]; [79462031; 56264834]; [44842413; 25091884]; [98590240; 99264930]; [33563897; 80002806]; [66258068; 34233537]; [48646808; 42955825]; [18689660; 4323373]; [37465623; 18712224]; [99778603; 84583744]; [24401577; 23327477]; [30930653; 50158329]; [44645798; 95176248]; [7715597; 37526834]; [92475328; 66582250]; [57805369; 89962906]; [38576813; 38359035]; [61094385; 37482332]; [88928209; 55379551]; [43924348; 10475327]; [37872860; 29830800]; [64600025; 53638700]; [46926708; 12936121]; [68449682; 67285317]; [90095708; 19107481]; [65174506; 19824444]; [47740673; 20313992]; [22505582; 87409236]; [14430569; 70989594]; [27496240; 63882440]; [50412291; 76354594]; [11429729; 78401718]; [25066654; 19033587]; [40899633; 84536965]; [92363189; 85838301]; [54008366; 25739666]; [29348102; 92299103]; [55025343; 67218870]; [71941361; 86676810]; [57263416; 99875241]; [50858054; 78997887]; [81420278; 23845712]; [88004988; 78511648]; [48981742; 8989607]; [10788449; 12840848]; [72432718; 2560894]; [89252461; 28131342]; [23142166; 12764722]; [68541823; 3810927]; [68613992; 75437950]; [47099084; 1956187]; [32105015; 31065430]; [40346068; 60933919]; [49060147; 83740339]; [21774733; 93713686]; [94620092; 85212444]; [60607795; 67378129]; [37100465; 88807685]; [13344895; 11150074]; [41744278; 11235554]; [98498202; 18094118]; [19580374; 16473576]; [40039758; 58560942]; [76717889; 21513581]; [58139871; 89204245]; [34771484; 91014603]; [59296734; 55074152]; [42588116; 11972417]; [11339974; 864343]; [34566242; 65440990]; [49557380; 6114759]; [70974258; 33516230]; [75732374; 86902189]; [25232458; 60499977]; [28540511; 94633247]; [65248187; 31618624]; [4351503; 61810171]; [93492594; 21512425]; [4398483; 567036]; [40581302; 26080472]; [68416753; 71380109]; [97680319; 24231715]; [50392398; 77144421]; [91891675; 2263378]; [18737656; 48852212]; [7451870; 31908568]; [53829705; 28689086]; [52132856; 8151350]; [16747749; 83351073]; [9996420; 7570637]; [92529935; 45143933]; [90712827; 6451161]; [14666047; 47148749]; [58122630; 12290037]; [42057392; 87476324]; [13904496; 19085172]; [96583100; 40775035]; [24185548; 5596692]; [61365009; 364756]; [1172241; 87883719]; [33606960; 21935077]; [38834403; 37349472]; [86988585; 94078111]; [38715213; 341505]; [51284111; 62265195]; [91657658; 87329823]; [24234616; 64995580]; [74847135; 36341413]; [62011934; 68337141]; [95282582; 7277299]; [50252997; 49280840]; [7643029; 65052355]; [87478417; 50882071]; [28162491; 6459202]; [63938004; 83386863]; [39498374; 89233230]; [50296864; 73163173]; [75787122; 40489301]; [4578214; 99472080]; [28620290; 94162735]; [1921327; 12526373]; [7030629; 86975626]; [66803341; 69248997]; [86110376; 71371686]; [66266626; 94230739]; [17024559; 65859924]; [34634178; 82139275]; [18537215; 89605437]; [74722665; 48800263]; [31947246; 53741127]; [76828299; 97364994]; [80215347; 66685172]; [77901462; 20950029]; [14032588; 62676125]; [47823273; 34577691]; [7000708; 29237950]; [36938385; 36953385]; [35590695; 69147605]; [21760870; 65549250]; [72801830; 44765802]; [82700663; 14198319]; [60822832; 55844744]; [76089061; 78121715]; [5559304; 26342673]; [54421233; 78195268]; [15027590; 95463770]; [28237882; 90512327]; [46716248; 93545182]; [8801378; 65793097]; [67194680; 23144751]; [95411820; 47055214]; [80539602; 80614712]; [13252761; 64319451]; [58550245; 68326085]; [97663284; 10029933]; [10559410; 40282053]; [46253983; 65256774]; [16770728; 83742899]; [19976040; 21397469]; [65449896; 47303988]; [25766316; 42548420]; [27942311; 92604615]; [63958534; 23234850]; [14384458; 38516044]; [20610171; 86789512]; [21851508; 48685767]; [47527967; 52988949]; [79252361; 77778849]; [36934059; 70968681]; [4802165; 9313821]; [6697203; 21910438]; [20919644; 12545720]; [7571738; 29618657]; [98879754; 26964899]; [57856939; 19622631]; [61859134; 92709753]; [79049666; 88082446]; [450479; 8282756]; [53867973; 15379821]; [23680716; 82098121]; [78083730; 82074760]; [46861297; 84052444]; [55260054; 48287981]; [60173094; 41720536]; [68036708; 20567127]; [79080657; 24534150]; [40263865; 94067252]; [11973495; 68282467]; [82185595; 5273146]; [76356222; 35702098]; [91661163; 94865816]; [1508711; 27343706]; [43501263; 37493252]; [94470571; 65145036]; [66592531; 59834202]; [83468527; 2283270]; [95910246; 17510815]; [21178092; 35505552]; [70737690; 55836590]; [80417124; 2415901]; [88537290; 7238496]; [74441899; 97779404]; [34329928; 7025515]; [15928815; 97487182]; [76235951; 29434231]; [10776096; 20476491]; [5910487; 93667991]; [43774453; 12493596]; [74195785; 34582108]; [91647122; 18805528]; [13452111; 79016984]; [54365306; 26791599]; [1266993; 52560573]; [32811914; 1238602]; [1819757; 60702300]; [99241858; 56538293]; [95506386; 22707515]; [67157410; 73473080]; [52959504; 29729206]; [68389691; 68481388]; [66102994; 16380479]; [47946841; 74420179]; [83674261; 43836557]; [26932536; 99014972]; [48372678; 23232746]; [69559404; 53718203]; [81483590; 12049492]; [46954810; 8699630]; [85250543; 39201300]; [55511994; 76732443]; [26605395; 77791705]; [7501880; 41527027]; [24013665; 1062131]; [25559607; 39616614]; [21868678; 26170943]; [57090943; 78289258]; [83464878; 31621191]; [15825724; 34842501]; [98218039; 87393439]; [86984534; 91110497]; [15052413; 97372203]; [95885411; 40087009]; [64998643; 72104602]; [65474067; 43772186]; [69016936; 72404359]; [74936190; 83811756]; [75944945; 43542233]; [64557388; 4445082]; [92768969; 57186760]; [97257100; 41690533]; [8589533; 6464532]; [69468818; 99206739]; [32487735; 43672005]; [28700642; 35680610]; [15662836; 93098830]; [47845925; 20813992]; [56236601; 56056085]; [54447767; 93605552]; [99204999; 50111235]; [83728313; 11967974]; [57763345; 17332703]; [48228514; 24569101]; [80913580; 68124862]; [28696113; 87377694]; [73568442; 92510353]; [27817700; 69805845]; [94529405; 3750022]; [24716166; 40871904]; [56703026; 16430623]; [17546128; 8687110]; [17787262; 76518321]; [6425450; 91842407]; [18777590; 94928642]; [34025608; 43457350]; [50924323; 74224149]; [80640675; 68672874]; [15899031; 5936852]; [93321789; 43082299]; [14607045; 6451807]; [85419680; 70938830]; [81190635; 57064362]; [35615626; 47024589]; [67690246; 33698429]; [35264836; 47951684]; [70560398; 8088303]; [16996728; 3907984]; [67272046; 78220311]; [1681731; 16278261]; [70918781; 24017177]; [42187100; 67639812]; [17338836; 72375859]; [22592199; 5454017]; [6168140; 70709513]; [17980524; 70751064]; [38046255; 38632422]; [84287379; 3941544]; [64304906; 58235429]; [57616649; 79850888]; [6287108; 86990664]; [28893532; 83074295]; [99542951; 97764853]; [29427062; 7467420]; [61982098; 81745940]; [32032475; 16480335]; [46126496; 88850797]; [60193757; 46980348]; [40559167; 13903280]; [22451066; 78579362]; [50520403; 51362553]; [65690574; 8640280]; [94515078; 56816223]; [11320039; 88193646]; [96817439; 29812940]; [79552401; 88841114]; [9894746; 93476021]; [93974580; 26247702]; [26937185; 55275423]; [42869709; 62890632]; [53318559; 8418491]; [24571229; 54728852]; [76821740; 65652543]; [955083; 12381103]; [47357100; 5525229]; [5079804; 12643515]; [48107615; 40437288]; [40358088; 51884065]; [55672410; 81826514]; [89026664; 71683900]; [76343276; 99287720]; [16107348; 37030259]; [53567822; 45609833]; [63290324; 80333519]; [92746244; 57341850]; [14808262; 36611869]; [96088654; 51051047]; [32396667; 41576166]; [70072958; 93291574]; [48050543; 45952524]; [65028010; 78998554]; [65002864; 56049999]; [16899791; 24905534]; [98512620; 10877546]; [81637484; 36218426]; [23245782; 71129393]; [26490685; 39207725]; [24902308; 84692074]; [12042752; 26361839]; [13706375; 47213949]; [55707444; 80911179]; [59084480; 91049066]; [93480931; 24936517]; [75735564; 78964952]; [69940687; 2425978]; [22778627; 30579321]; [15669036; 94383138]; [2217726; 71817176]; [58246620; 75402037]; [51568738; 74847628]; [27047745; 1880350]; [20644308; 89464203]; [74305297; 57072117]; [65637844; 29644133]; [95102594; 13778655]; [99940911; 77673680]; [85286909; 19028609]; [70512207; 81034681]; [73458686; 27399333]; [42636904; 25925017]; [24231171; 36053163]; [43741033; 40982973]; [43782797; 37143727]; [93797917; 3193506]; [93725393; 81780459]; [91504751; 78159499]; [30011170; 83749925]; [14773795; 84514914]; [72334512; 26334787]; [55619364; 77236122]; [58192684; 74748693]; [77805861; 38670250]; [36123924; 22168335]; [22832909; 37767919]; [94093423; 82250826]; [5484412; 78451295]; [9903293; 25633896]; [42248064; 48207510]; [76388774; 80775940]; [50513089; 11448282]; [1549262; 3211108]; [7710752; 69734916]; [19642354; 73309960]; [60282995; 41227188]; [63524701; 53782903]; [36601987; 91104430]; [61552063; 30619819]; [36634178; 10512863]; [68526933; 87640544]; [25074058; 24166012]; [26484661; 85988461]; [59679502; 54529198]; [70547062; 14766971]; [70318152; 54533294]; [60474020; 32176545]; [1813280; 88109587]; [86383968; 6125265]; [80623266; 42231380]; [6424441; 48131687]; [20592052; 1259530]; [34624525; 34253678]; [15210292; 61088914]; [70509870; 17688537]; [14235333; 86148166]; [27117251; 20160072]; [72796619; 9678086]; [15864625; 62357787]; [47766855; 81262438]; [31119116; 33333758]; [36155720; 60109180]; [2373092; 22543395]; [3903809; 32798878]; [49487158; 87585010]; [43397764; 89696932]; [59883399; 51805969]; [30435691; 71951853]; [75467375; 36808466]; [15935843; 34876782]; [26340761; 71272725]; [5213256; 928660]; [52339114; 11289868]; [74911750; 64062843]; [58068681; 77054065]; [73702267; 89916964]; [7112595; 14802504]; [33737227; 39021986]; [36223882; 92921215]; [30749431; 93617220]; [7625194; 26279449]; [72327567; 29795572]; [20729990; 53409958]; [75156800; 56037465]; [98073747; 929562]; [78542774; 59519216]; [19207029; 90861278]; [45766998; 57385497]; [61604668; 4019472]; [52147948; 61231263]; [54895544; 4470017]; [32355263; 67700709]; [85353282; 40675369]; [96703589; 54117726]; [84005645; 40407408]; [92166932; 7768007]; [61955844; 99473195]; [46158250; 50967123]; [58585840; 79079426]; [39669739; 15595346]; [19122375; 40772123]; [80082847; 30117691]; [70750483; 57244458]; [48564821; 81465890]; [92909133; 36901835]; [40390704; 2329541]; [79255768; 70291469]; [51864986; 10635279]; [66190589; 10576721]; [55500771; 42726223]; [82518727; 28640535]; [5241557; 73957805]; [94322220; 31279331]; [49885320; 24124937]; [33672152; 31452534]; [60385034; 72592583]; [20614637; 66155953]; [50150702; 94402177]; [82788034; 76064282]; [83635588; 24263554]; [20353260; 3917667]; [53286086; 12460602]; [60886083; 9924617]; [96247219; 53748367]; [79249512; 69146204]; [8970613; 33178023]; [6355437; 11028094]; [25194279; 36730048]; [57173524; 66819830]; [53838368; 87115686]; [172325; 19862124]; [57804862; 36719018]; [63593208; 51501117]; [41806882; 33547430]; [28337711; 21436863]; [84342146; 98471162]; [67320946; 77453834]; [88121310; 79980938]; [3238180; 73716611]; [40644713; 39487155]; [36649498; 18734755]; [52689032; 9775354]; [17316371; 99789828]; [40240944; 97704167]; [86180641; 23304094]; [41337193; 26231856]; [74412510; 51168473]; [4617683; 87541461]; [99962976; 17645703]; [608685; 96286961]; [49695774; 52657821]; [12546480; 75370788]; [44828109; 46520135]; [65644907; 80084816]; [54046423; 99499886]; [55513249; 33261830]; [87038639; 46679260]; [33612267; 33808296]; [97197202; 39115195]; [68788999; 87758715]; [82570919; 43701623]; [23121419; 59187848]; [16329016; 7073556]; [79336920; 96124864]; [48433664; 51606066]; [42391671; 64949496]; [21402716; 71777481]; [6937432; 96100971]; [65490743; 94705637]; [48369617; 96566088]; [72533534; 33636074]; [97632460; 26039878]; [23443293; 4438437]; [58790600; 62763705]; [47526985; 55488775]; [36636208; 3694563]; [48012333; 31668412]; [7335023; 74972315]; [63773980; 14036396]; [17091037; 95056191]; [96475170; 95739572]; [71305624; 52240672]; [85050065; 98967793]; [35419823; 12632174]; [86183653; 48461122]; [29112772; 70406058]; [82071694; 71833951]; [78272235; 56192554]; [32590319; 10287128]; [85732689; 36648703]; [88815651; 18362161]; [41214328; 79249217]; [50789248; 10867170]; [44307667; 83809274]; [46498867; 12816118]; [9865678; 57035680]; [52360233; 19220554]; [18015203; 20460222]; [79128061; 44880608]; [96490799; 42831894]; [14292814; 77436864]; [46387855; 61316979]; [66559340; 58659525]; [36823218; 71256477]; [14769806; 91178654]; [22649658; 95895405]; [31931379; 90334522]; [40442457; 50549078]; [16139645; 85397539]; [46098244; 20016007]; [98197009; 43838028]; [13429150; 27962462]; [82097661; 55870502]; [96004128; 42623200]; [53753023; 74348351]; [31812016; 79506837]; [18471215; 86092433]; [63882829; 30353440]; [23771417; 12681172]; [59133490; 40701513]; [34665778; 10519310]; [63279343; 1463895]; [4718122; 87795715]; [86253752; 53585204]; [21233449; 24891287]; [13694038; 65853562]; [91709233; 16974480]; [63173293; 45237394]; [89318136; 99274512]; [41933895; 26522516]; [96166831; 65073683]; [1321513; 63564455]; [14900089; 22650550]; [2204619; 52091379]; [89270524; 6989031]; [53937632; 57949804]; [20593594; 85524731]; [8070731; 32587904]; [72693384; 35416988]; [35279810; 28547328]; [20424218; 35605424]; [50547830; 67200036]; [33990970; 77695686]; [98944336; 28088880]; [39149252; 30507704]; [93413132; 78989938]; [880200; 60112459]; [60915987; 89906264]; [69848332; 41406274]; [69895860; 90677465]; [30721815; 30921284]; [12556988; 91654033]; [48598903; 82857644]; [40020041; 24822586]; [8150796; 39391649]; [20618973; 74504927]; [41367210; 97440808]; [69226403; 511525]; [29230966; 29305429]; [44497834; 87733216]; [59629868; 97769811]; [32565526; 43833761]; [37549088; 79187009]; [55885253; 7061324]; [14381561; 88357057]; [9141052; 98134358]; [49016743; 4614227]; [23017049; 13385328]; [17756590; 95323864]; [86824009; 61791249]; [28743401; 25562034]; [57322454; 74256906]; [53277889; 65729175]; [38815272; 83085937]; [52625739; 90677936]; [75151945; 214908]; [79858345; 55299974]; [5103591; 40936290]; [3062970; 23930265]; [53695018; 26661802]; [92105618; 92068337]; [10708115; 99998135]; [69833330; 55607769]; [13566563; 3294136]; [99737889; 51764424]; [56478682; 53289809]; [91195322; 43444054]; [92709901; 50608698]; [93866253; 33105518]; [5010202; 5713037]; [85453206; 99736786]; [40592291; 53463698]; [98476468; 58854070]; [39128858; 98920056]; [29062978; 35847585]; [83289623; 44771319]; [15497102; 43268668]; [4829320; 92575288]; [12150648; 42074780]; [91336685; 94100407]; [73393439; 3043403]; [75015492; 11410098]; [48123206; 40841281]; [10944407; 33007588]; [92993255; 39283657]; [46268641; 8050526]; [17935999; 21952180]; [72847060; 83280663]; [17326379; 28055437]; [4966285; 94564459]; [55298105; 32943722]; [38681661; 5368180]; [25563575; 41654376]; [71089766; 51033985]; [91005440; 76495210]; [48100498; 84202507]; [86629712; 95163214]; [12567075; 61949865]; [25176351; 48999212]; [77672284; 69325844]; [41717571; 89269068]; [99099423; 70680928]; [48130758; 21628328]; [95740930; 52074886]; [97483035; 89370783]; [73152857; 17277646]; [58617852; 70033121]; [54268893; 27462498]; [39449329; 92377469]; [85692394; 75828355]; [73767482; 83109656]; [77743021; 11586397]; [61413620; 2216456]; [78894826; 41178291]; [58568127; 80918796]; [59989254; 49296013]; [68322733; 69837496]; [98862616; 15519795]; [54274344; 13785776]; [72088243; 27565407]; [5386297; 38745384]; [13647311; 74935323]; [18089378; 78370539]; [95342209; 29115939]; [41927019; 59173618]; [24176551; 65652392]; [81330308; 85354209]; [94295588; 10413888]; [23377998; 25407069]; [10693927; 61179917]; [75635411; 98176031]; [11083473; 32353690]; [99006678; 90900631]; [44572474; 75582575]; [69505037; 72407033]; [77732978; 15521490]; [72224911; 70836335]; [65848401; 41963918]; [5943054; 41086943]; [60004127; 90224118]; [65579031; 51410773]; [5489072; 38741943]; [7036299; 2843006]; [87309359; 18517482]; [7003077; 83517963]; [95594832; 50600962]; [45351344; 82793965]; [23140526; 79320373]; [28576266; 92452614]; [12286706; 34073896]; [56783298; 12924311]; [19729122; 17045999]; [67079078; 93472374]; [9865837; 33039709]; [47646469; 68939178]; [4903854; 33935706]; [92126608; 22139599]; [75757761; 72652196]; [78244173; 44897328]; [18869560; 13941878]; [22616597; 30046851]; [30591476; 33512879]; [6576816; 69730609]; [65673289; 89933233]; [6123682; 10420205]; [89830957; 41436127]; [67491294; 62122698]; [56518079; 35249321]; [39540145; 80769541]; [24637108; 92088878]; [96946774; 38734160]; [39230557; 55828572]; [81159708; 11090571]; [13002481; 37941073]; [59291834; 37925927]; [87797387; 36913013]; [64184943; 32791240]; [26529165; 80080115]; [11558811; 54573338]; [89964217; 61660139]; [75520565; 41181146]; [93414534; 23997427]; [39261137; 89685908]; [8534441; 38660147]; [82036775; 22285252]; [18717455; 25534743]; [78651089; 39601151]; [15077944; 50889086]; [41408364; 78160635]; [86450085; 27990776]; [19943308; 68456567]; [96813333; 92442415]; [54691724; 15618451]; [40293073; 92385241]; [94715429; 81999238]; [84289538; 20431013]; [58668467; 79955211]; [41435040; 99757183]; [15053144; 29617555]; [64206414; 95386777]; [10147918; 12716660]; [51558403; 76759092]; [59788645; 58765311]; [65962569; 98160887]; [33066639; 76182974]; [92984016; 26845760]; [70972840; 16430567]; [23886593; 72802325]; [84043017; 51151225]; [65951963; 43540916]; [56577159; 98905710]; [50864710; 99542828]; [13512988; 6962947]; [67092839; 70438058]; [41606744; 10036934]; [63241894; 35672838]; [26302740; 58407655]; [71434429; 8096]; [64971893; 62974190]; [78970838; 11457073]; [27376566; 87730558]; [45559695; 8180250]; [67872611; 19262412]; [93171378; 87273160]; [71054860; 32011148]; [4341630; 43216270]; [62513353; 66368629]; [99998709; 87190717]; [41401173; 32700200]; [45486634; 62891929]; [96496747; 35233584]; [24765096; 40892290]; [75658752; 25801713]; [14310832; 15205079]; [83624889; 65443031]; [23180702; 54435607]; [73682225; 20225649]; [17178991; 42067293]; [11310619; 17147119]; [65092562; 72597947]; [90039964; 61409270]; [8318784; 10047134]; [9123934; 6889884]; [57614880; 98837666]; [91202321; 96383437]; [74504903; 56785055]; [87322781; 16104007]; [78754997; 50228331]; [43833266; 99862358]; [51556345; 68829204]; [25828076; 54995796]; [82395983; 45815147]; [6268427; 5493460]; [11397667; 47765681]; [55868652; 34442592]; [41995833; 30335028]; [14837021; 14240281]; [56686617; 54004723]; [97685769; 99531891]; [702761; 39215289]; [23804994; 57547041]; [12847278; 76789187]; [66506004; 57780049]; [86720921; 20773186]; [43270978; 28844826]; [25299341; 20221191]; [40647125; 78909929]; [13950130; 53671880]; [90119782; 11404681]; [26222381; 8966499]; [81188809; 74221400]; [66657605; 32715502]; [70050132; 18861883]; [83699240; 55545122]; [49465078; 5977711]; [70145424; 40499291]; [69441662; 44485261]; [37460145; 9805761]; [53985503; 7821990]; [60326599; 41270997]; [97107066; 55233011]; [22729259; 46112622]; [78562377; 52510132]; [29265910; 87457147]; [67721712; 45856858]; [43817643; 46435942]; [40474052; 32630726]; [88197956; 42848193]; [11711820; 55641100]; [65035364; 11410164]; [53078909; 42823092]; [79281335; 20953754]; [91266396; 46647718]; [3116236; 93762362]; [44219974; 15290177]; [6649535; 90623426]; [78391282; 53148145]; [99797115; 18012567]; [27206367; 58680472]; [70525342; 61278986]; [68504506; 70063666]; [10738701; 87381246]; [9905492; 95484091]; [42524903; 82651722]; [92647411; 17634757]; [6855998; 88219815]; [27575181; 90374262]; [87766940; 27681250]; [57256489; 34653190]; [78592805; 37577827]; [68446246; 43753226]; [70328751; 90752948]; [20338936; 77291548]; [50122000; 11965331]; [61731386; 67948915]; [40527986; 76446972]; [69905669; 85278015]; [10313731; 55877927]; [87467850; 96950254]; [55138505; 74629256]; [30970392; 56185887]; [80198750; 99965843]; [76659615; 50860780]; [83071960; 53414991]; [89251108; 97629703]; [78691897; 25467978]; [55917448; 1375913]; [82555348; 96314536]; [95957342; 25114723]; [13681495; 24746355]; [34498837; 80128145]; [73079368; 27184858]; [9923622; 80947533]; [23428040; 10215214]; [38395759; 98570065]; [5746533; 63248152]; [15011785; 33692062]; [45069853; 93972572]; [23526787; 98632167]; [98527036; 55945227]; [33091187; 96002916]; [70574352; 9909840]; [11872013; 16382019]; [44138756; 23072418]; [60227089; 57208329]; [9294474; 58327524]; [64858358; 54974376]; [74371801; 3663648]; [56746684; 17934394]; [25076322; 68984203]; [2252017; 83703685]; [94774974; 53485920]; [43294058; 72722458]; [96022344; 76114197]; [44952848; 89442755]; [82369253; 8381139]; [58460249; 20736052]; [79895976; 10088065]; [19787175; 12952081]; [54028133; 60663379]; [98230415; 251679]; [96721680; 56652840]; [2990754; 17651446]; [72153555; 85046486]; [67695621; 70459386]; [88547041; 92042797]; [62617573; 41998704]; [66866490; 84906691]; [19124665; 95983227]; [66611897; 70305685]; [58738007; 65143626]; [73398535; 85446596]; [6798727; 2953829]; [62406289; 23051325]; [68042412; 32392180]; [39270882; 93840834]; [50234529; 43596543]; [73125196; 75988198]; [15157622; 33295592]; [54913897; 77415886]; [86518698; 4439794]; [63302243; 30391188]; [47873592; 7624567]; [73807136; 73665082]; [26046815; 30442230]; [71448879; 47619074]; [39297373; 29600311]; [55937766; 73950806]; [70569808; 35384325]; [8475017; 99672271]; [10343448; 79903967]; [9376625; 73515953]; [54207239; 8241170]; [76384364; 48046819]; [71037842; 59859752]; [34889682; 3913691]; [88004353; 83612878]; [52385961; 12404046]; [89915781; 89027526]; [21396461; 55461158]; [97546690; 75934669]; [37021177; 6053913]; [90570041; 81004106]; [87688915; 50201242]; [70045723; 10742522]; [69079438; 10807323]; [29103463; 327193]; [29289063; 97803573]; [59971028; 29204891]; [24286013; 55355028]; [66407398; 47314189]; [23123219; 54756540]; [37633368; 51057745]; [9383214; 57849552]; [35621673; 57717955]; [76495817; 703215]; [23255291; 59495699]; [1249862; 61836174]; [64225931; 48826421]; [96281024; 3104362]; [15984131; 72582626]; [31185436; 61944020]; [45933896; 39215465]; [91961877; 64653582]; [80607349; 98030183]; [91540740; 94939639]; [19724439; 67612047]; [37460563; 35092991]; [14566688; 27068924]; [75192544; 4904934]; [55662470; 33158989]; [18381744; 69935044]; [13767371; 16673119]; [24846818; 99164963]; [29977474; 42339627]; [16094028; 65219312]; [451950; 5783573]; [57683394; 44575984]; [20235614; 13684374]; [3455357; 2536852]; [82551635; 57034028]; [43363484; 26201131]; [81281887; 77562917]; [74492004; 34177126]; [27067995; 78083985]; [84459438; 72317484]; [53682840; 60126633]; [7014740; 66013229]; [88421520; 72881444]; [49083482; 40308024]; [7922035; 31638674]; [55722786; 3379942]; [24617966; 26368974]; [47487319; 17780644]; [6707429; 29938579]; [592144; 24806421]; [31915446; 71463388]; [84647835; 87742212]; [8442359; 46656547]; [89618680; 99170345]; [1923565; 81239464]; [57428190; 4025755]; [23336186; 40271858]; [14391266; 4492944]; [44461589; 17110340]; [28427190; 60683940]; [97252008; 80876258]; [31222025; 75900562]; [41955117; 89722686]; [97748691; 88485553]; [10480887; 60964897]; [35963011; 61703785]; [1660290; 95546995]; [10496923; 25177508]; [8877493; 83858141]; [5407121; 31415857]; [93539315; 43177646]; [70733183; 80362793]; [16768376; 9363133]; [95768278; 10348887]; [80516806; 44926785]; [92707556; 75935053]; [89271595; 69755123]; [23289082; 41669314]; [40135081; 20059113]; [721424; 21398893]; [45407395; 89691648]; [99879857; 43851885]; [82401710; 49454377]; [34020186; 16217771]; [82321993; 14331548]; [37256986; 56110319]; [37567796; 87558176]; [76846418; 73617748]; [53523624; 66529989]; [67784350; 32633572]; [3415359; 96039153]; [52644400; 44449720]; [64955127; 75411526]; [76373030; 44155679]; [11566692; 5013879]; [74904593; 93154443]; [83035242; 74959200]; [29227979; 60788105]; [97744706; 39482918]; [11704834; 76381582]; [82421442; 36861339]; [42659911; 29180264]; [68880152; 95878464]; [10950806; 53805599]; [1051516; 42875768]; [66442338; 28391862]; [13980814; 5187462]; [67264713; 94865637]; [78073165; 15454891]; [45714698; 61742478]; [81561231; 66618568]; [77064093; 54313126]; [15204656; 45562597]; [98374762; 22978920]; [90786169; 76746958]; [3687109; 60393448]; [43668197; 66566558]; [82346818; 30319234]; [70828326; 42693146]; [41152528; 80908133]; [69529102; 57057263]; [29536806; 18021525]; [79684946; 99472293]; [58387353; 89671497]; [59295272; 17446873]; [36489650; 42332001]; [3754700; 6991859]; [33391812; 71652516]; [76514520; 55355919]; [2576418; 23365928]; [84780844; 10071002]; [90772105; 22396746]; [16282511; 58697523]; [46879467; 61440718]; [95501821; 20666946]; [53742794; 32056]; [26652490; 37989818]; [17610136; 67376092]; [8083819; 94088278]; [21523251; 20033686]; [40510557; 73158815]; [88715157; 71450859]; [26609340; 83363564]; [87446680; 72746893]; [54230747; 11463586]; [70041542; 8628606]; [80997009; 94781824]; [98311219; 15767480]; [46562304; 1682721]; [41580314; 95426712]; [23740693; 84882534]; [40232951; 88720474]; [15309593; 50444830]; [85268214; 74706986]; [92434707; 25786318]; [62082824; 33074000]; [86306139; 87012201]; [35585247; 74694267]; [96267734; 34126733]; [40981452; 20893251]; [11654091; 85626824]; [84191206; 86502670]; [75851991; 55391950]; [87528084; 5745717]; [87577925; 30877681]; [65947405; 97766025]; [40456499; 74711725]; [47632462; 51436969]; [98579538; 70538346]; [83006161; 31967799]; [35562949; 27444014]; [31338145; 96083970]; [83974329; 16570402]; [90634709; 45629404]; [68659536; 63457483]; [92012714; 67904808]; [22683988; 11298426]; [56306850; 29585545]; [84740202; 96509005]; [12428111; 24215630]; [52096210; 97669881]; [41857528; 83497197]; [16279612; 7313815]; [69027212; 31886459]; [37670016; 63221057]; [57312165; 72726360]; [67245523; 89980078]; [6573872; 57691935]; [32930380; 18733210]; [19559158; 91070356]; [36321408; 6332733]; [36196588; 71045039]; [29030124; 64980452]; [99256882; 94638598]; [64102968; 64591804]; [44412075; 84436962]; [82200509; 63428106]; [49863225; 30952746]; [68024918; 45977605]; [60733956; 27154072]; [82157046; 38864693]; [35173006; 55417632]; [97695944; 52501170]; [30782442; 17357982]; [14679208; 14567011]; [57144963; 5813368]; [55976466; 57420930]; [46941155; 2354063]; [36296177; 40092174]; [24477420; 89033975]; [60913695; 70623686]; [4952476; 63682010]; [43973854; 8200120]; [41347068; 66412799]; [11483915; 31071779]; [30903459; 23312059]; [48000698; 20970200]; [30971811; 17119575]; [36606880; 31723968]; [53612811; 55496843]; [17149602; 9030915]; [70805272; 59887224]; [12136357; 82493713]; [7276726; 93590655]; [80971515; 22262514]; [11810824; 98332890]; [19669457; 19518476]; [40713061; 10804056]; [3407700; 61344863]; [56000644; 84453534]; [50802957; 56793495]; [87278640; 67037415]; [72117606; 70486250]; [87632587; 69972212]; [51040122; 58410978]; [90786611; 88376711]; [78886634; 42684441]; [42575120; 48342722]; [42807646; 39206949]; [15792246; 47355502]; [26854044; 66056226]; [92952932; 50113941]; [3549484; 42515598]; [33750072; 67072958]; [41534903; 67844408]; [64009107; 75613907]; [55090972; 13975046]; [92960858; 42545885]; [69699780; 30839143]; [74676149; 9852404]; [91495297; 55153967]; [12019667; 82974412]; [67683940; 4254281]; [95460126; 84233733]; [77930967; 52653850]; [51197567; 4931510]; [62628580; 7629848]; [9231856; 21529849]; [55487284; 45207920]; [65068099; 5608153]; [83789368; 20932649]; [11837565; 22186135]; [91392215; 9020707]; [71827827; 87132681]; [7572440; 30057512]; [52602343; 64108778]; [33116542; 67443761]; [21404632; 352072]; [21496830; 25183632]; [68520783; 44524404]; [98373744; 16561842]; [78731182; 82980148]; [69527099; 52390941]; [21636194; 59627487]; [17764438; 57195260]; [25158903; 77314894]; [7453967; 32388977]; [50258018; 58175597]; [26466523; 71669474]; [88663918; 98263877]; [42778401; 39982066]; [73327687; 91915339]; [40120375; 97840485]; [29290081; 73648898]; [27165967; 6069890]; [13097271; 80445131]; [29091126; 71501471]; [18430249; 75146752]; [64625776; 81504639]; [8566547; 9954838]; [20807102; 66998594]; [40162997; 19569432]; [86090923; 45159726]; [89172357; 47598947]; [42173727; 65179136]; [64344806; 57962479]; [24236966; 44795163]; [64673775; 34481757]; [73093378; 67665872]; [64041097; 84182510]; [34882843; 95118573]; [25123452; 85464360]; [39430463; 84052502]; [30201854; 89449076]; [69916264; 71255885]; [84307670; 53437658]; [21583562; 30019001]; [83236316; 78689352]; [44091452; 88358960]; [94305391; 77512358]; [40388483; 60706444]; [99161272; 4083715]; [34371906; 92047824]; [20027402; 56134364]; [12470567; 45136107]; [25322761; 12445461]; [89678637; 86853363]; [10438099; 33120326]; [37687234; 70048706]; [61289003; 17581262]; [40710006; 20518854]; [51230740; 44897938]; [60939805; 32773131]; [35018939; 15059557]; [10030668; 51125028]; [12049897; 87291030]; [75356875; 32827770]; [67522666; 31070575]; [47145431; 34134669]; [9855117; 2758384]; [4724668; 18439525]; [79010338; 52983150]; [39301859; 39963076]; [23761404; 74550517]; [21530658; 73024085]; [67348163; 32627487]; [220532; 93734299]; [51629394; 99928391]; [35628953; 22159763]; [34998570; 47156537]; [4801452; 15725647]; [78151909; 10610708]; [91527343; 9164160]; [40604745; 34045378]; [80920201; 2288253]; [50181559; 91281282]; [95601339; 23583213]; [80944247; 40420463]; [17500788; 31144692]; [87037470; 40971089]; [70113541; 34454062]; [40950221; 74777480]; [40625413; 31872281]; [25668633; 31436668]; [49765224; 78538063]; [85122979; 55123176]; [33977959; 13806700]; [602048; 25700512]; [81061694; 79999769]; [20365011; 68328234]; [87810045; 44257041]; [73376232; 10011949]; [38189958; 51361036]; [38393828; 9270203]; [22588079; 56785223]; [54607299; 40181783]; [59879330; 82914495]; [84306243; 31254767]; [49957236; 84907201]; [79002912; 66113118]; [66895375; 884714]; [8872740; 58611174]; [72674740; 84601400]; [55141969; 74450698]; [8668639; 80152182]; [81505821; 57313808]; [74320364; 49165079]; [4226775; 91883263]; [26010692; 29514861]; [53045663; 69725774]; [86540992; 53741052]; [41469814; 14588943]; [86441901; 67490367]; [41295257; 35032597]; [89562693; 60939312]; [4742084; 7314411]; [83412219; 14159953]; [6065477; 30306241]; [87630510; 99500494]; [35325907; 67818467]; [79965720; 5416856]; [32678786; 67607554]; [61209113; 47865809]; [87841418; 18137867]; [93642392; 72499454]; [3933450; 23133541]; [76878074; 55918691]; [89196834; 6077863]; [59329431; 62797571]; [80237205; 56145361]; [66930734; 44387436]; [26313336; 94462685]; [70734903; 23360825]; [24403677; 55312704]; [49778802; 83073589]; [39682924; 9016062]; [60114756; 30080648]; [32316266; 15809186]; [45597361; 19485890]; [43208057; 13010442]; [36579886; 18970221]; [4391029; 14637468]; [5735047; 15912038]; [25684600; 11225957]; [42230688; 63734893]; [78469774; 25719022]; [67163415; 56275671]; [87666420; 37564660]; [82493848; 46843759]; [96658331; 89700870]; [83568093; 64620555]; [48221605; 96940998]; [44037140; 7902484]; [4817509; 68905610]; [6360783; 11870113]; [28821255; 22994503]; [19797061; 80363646]; [92504700; 35960103]; [6002737; 84018623]; [51185459; 29796173]; [34020941; 83620078]; [35297087; 95399347]; [67854242; 81087512]; [93786094; 91737580]; [32745699; 71367218]; [61247721; 40157639]; [28325767; 41800189]; [52225673; 35610889]; [56824656; 19460091]; [73035419; 17522980]; [72818949; 98844820]; [99317185; 82162756]; [84160427; 51362848]; [63826309; 90554867]; [42144744; 46589351]; [33153145; 74860043]; [11781651; 4894225]; [44830525; 76005159]; [52614502; 34239980]; [14863450; 28207315]; [48642719; 31624569]; [30910894; 82925725]; [2249438; 35174560]; [83768271; 93700589]; [3858942; 6513146]; [39691003; 63073360]; [24925368; 50012888]; [85081395; 53872396]; [10933869; 36965915]; [86603004; 7775133]; [75454022; 94883923]; [12604189; 92556410]; [93818503; 20536985]; [20205844; 5397071]; [82613505; 13163798]; [47803842; 32450871]; [76053063; 19388373]; [83869941; 66703199]; [33962047; 86446521]; [21231971; 50731279]; [20434885; 58052928]; [87878399; 48730411]; [44776115; 97608375]; [58260881; 27672260]; [3987605; 75195738]; [6480323; 71490702]; [7277336; 77730927]; [57291147; 15404308]; [25454573; 72796634]; [90407050; 20306546]; [10533967; 48226778]; [80312068; 14312320]; [31026163; 57575209]; [4952242; 57920191]; [24348436; 21553208]; [96893508; 51170827]; [10734085; 75761527]; [66040536; 67448930]; [33360080; 84614234]; [56602287; 29914037]; [6774181; 60138625]; [5270613; 94136086]; [11313981; 84992004]; [1063360; 42977913]; [94915723; 33086180]; [47042582; 41166156]; [85709261; 97526808]; [94440265; 19572094]; [80091869; 5844982]; [15221590; 17909753]; [52775794; 1179556]; [44844202; 91509812]; [94234653; 7849885]; [17463494; 25194944]; [89233492; 20235220]; [40394735; 20352873]; [47111828; 90082984]; [81699549; 61169516]; [26887419; 61431430]; [18500856; 92517460]; [45127230; 96661966]; [79165945; 61768966]; [23179555; 62450482]; [88124550; 77035693]; [28864120; 6878859]; [44913993; 56271273]; [45998841; 10022029]; [92287515; 36394159]; [18844959; 38979217]; [19393581; 42942687]; [66439869; 70779035]; [17385923; 12535626]; [27045692; 39098037]; [1740451; 57606104]; [5690414; 41492302]; [1097067; 87716238]; [30336648; 97983488]; [23530735; 51266716]; [34738406; 39467377]; [54675099; 23159933]; [35271939; 36718433]; [53407327; 44313682]; [46400228; 48688689]; [95880900; 622640]; [79655612; 21898942]; [58546363; 64038070]; [6582860; 27002338]; [42420947; 40333515]; [18513339; 56948931]; [22741830; 29235531]; [90626061; 73292651]; [97148754; 46933547]; [4604291; 73791523]; [54976154; 75286629]; [94961793; 62817827]; [48630219; 31882641]; [83126759; 78153483]; [67170753; 28847138]; [81261252; 35902620]; [91104103; 99493571]; [87291099; 69576881]; [31885889; 33962088]; [36669043; 7491174]; [35989187; 12740819]; [47908266; 80702425]; [34141340; 74534174]; [9245657; 49106316]; [63841610; 19069751]; [33864874; 56514497]; [56924226; 94023290]; [86417227; 44690873]; [57588828; 9786514]; [86488827; 84747864]; [13003112; 46278281]; [11457091; 96179032]; [46051122; 15423442]; [32879693; 8241557]; [42974259; 7960073]; [64455090; 88588779]; [512373; 76523013]; [45682218; 84456578]; [80503034; 34645704]; [31810046; 18552012]; [99171120; 6032956]; [63128865; 30497701]; [21836740; 27249256]; [71017744; 41426803]; [38825400; 13399574]; [14772740; 32207180]; [60676543; 73526323]; [13514911; 52640346]; [31968523; 9746060]; [45758358; 34783005]; [61538817; 29387177]; [27923382; 33919952]; [75725093; 1170934]; [41568884; 48922763]; [90593040; 87018234]; [35828944; 2502830]; [38971298; 27096073]; [56589751; 40330627]; [85434229; 79380097]; [74127167; 11533278]; [80547431; 23733677]; [55426040; 30165731]; [14499800; 60986104]; [64161109; 37575521]; [10294282; 26552137]; [62498279; 87124332]; [21684793; 90820985]; [78883529; 42637003]; [91936682; 35613753]; [62018493; 3511321]; [30144446; 92677328]; [52595838; 60118050]; [39854065; 29535195]; [54327721; 31342061]; [4499980; 55293303]; [78431261; 86312039]; [57019331; 15444717]; [96332878; 58674324]; [95032579; 31318075]; [14366320; 51851397]; [83919457; 38817030]; [24400027; 60126482]; [34677884; 55578378]; [88600671; 82992552]; [48512359; 12574514]; [40002169; 10245158]; [55906030; 20676158]; [72868418; 86309597]; [52117512; 17544734]; [8015145; 79105219]; [38366750; 76890828]; [15872491; 11738888]; [17787150; 26353030]; [9647154; 93818988]; [82084342; 3209463]; [59858467; 36699093]; [47215748; 93070391]; [79973202; 4927344]; [49735424; 61975900]; [73189731; 69775423]; [77096775; 11385214]; [67281131; 17979130]; [5383759; 17870712]; [68695345; 4536852]; [98943214; 17637933]; [88745564; 78140269]; [88430716; 84111304]; [62439734; 67682814]; [4575545; 57550204]; [24811184; 1040630]; [50269412; 22033143]; [55621208; 36816704]; [43209954; 80648835]; [95147974; 9301560]; [64140676; 83037514]; [4667847; 83812167]; [20043777; 45498131]; [71752011; 83277816]; [25893737; 46286061]; [75102357; 2971029]; [93220064; 14727067]; [34445201; 23952367]; [21703104; 96855724]; [143347; 73851345]; [36882819; 48587702]; [41679821; 37509799]; [86420861; 35410554]; [36135230; 96836230]; [22158160; 97084311]; [11820916; 44195022]; [78705858; 88615566]; [3997358; 17217336]; [54418483; 57896546]; [22691068; 97200332]; [86205156; 57823855]; [84912001; 59942301]; [8899699; 2083174]; [99352205; 13840271]; [77904678; 60932304]; [93104800; 60218780]; [61382252; 91119085]; [27792625; 45161440]; [93727554; 54530195]; [45444839; 25795087]; [17370281; 15757842]; [84051993; 58140760]; [52706363; 55761923]; [52408412; 55512144]; [76357930; 10525013]; [82938286; 76847797]; [74262939; 25444552]; [52200006; 23055988]; [66690618; 93716552]; [61642170; 88628958]; [78301397; 28272207]; [11203812; 63747831]; [67364583; 28210868]; [17545350; 97493199]; [69187122; 52603639]; [14219878; 59070427]; [16249423; 16201457]; [36023384; 33587333]; [98576800; 4618201]; [61881488; 12641469]; [7261545; 85593941]; [64200541; 95730304]; [28011861; 79479572]; [34474929; 21230693]; [12284658; 95092185]; [64208404; 32003454]; [54439144; 43375404]; [10480290; 45702214]; [18040150; 51730177]; [92153509; 54955799]; [42020099; 23811362]; [84669740; 63647548]; [5870227; 94567471]; [74569028; 35921810]; [7985698; 65999449]; [55168274; 76790691]; [92862285; 36476303]; [99846463; 2444075]; [39197188; 20970323]; [2158870; 36482694]; [46913599; 74956857]; [56519860; 62289608]; [59141526; 85417863]; [37305076; 68319694]; [96078413; 60841033]; [91181932; 35232521]; [51547826; 57314596]; [84306166; 48517712]; [11504658; 85048061]; [55343597; 95848670]; [36107937; 45279468]; [40224885; 20385544]; [39303160; 16764083]; [40020365; 91976700]; [57599636; 62553151]; [43459848; 36707052]; [82930775; 7475223]; [42758775; 80458337]; [84329139; 42648153]; [66217546; 19118798]; [15356853; 27574260]; [18245155; 96372400]; [56119862; 40870599]; [49473791; 12469573]; [7720011; 89718986]; [78138313; 44528162]; [38058626; 46027457]; [65672599; 75420294]; [45441964; 68130677]; [13639537; 76225781]; [35920704; 19460677]; [57947319; 19415312]; [79573625; 8850639]; [26443724; 91808500]; [38586669; 81141106]; [6014552; 42393662]; [92782514; 55077351]; [81582250; 86520414]; [17167859; 54770885]; [7545444; 52285525]; [93914118; 75746038]; [69166385; 2414240]; [90290472; 97311478]; [45014277; 69351692]; [64470764; 91103672]; [25051719; 727436]; [86978713; 77502351]; [84518747; 79936367]; [41300361; 92950842]; [30254059; 82308213]; [98912478; 22530133]; [21385995; 11987026]; [71553303; 7515904]; [91669229; 10554751]; [17283397; 99064882]; [32898600; 15439154]; [3075762; 72091898]; [8365033; 67853876]; [49283395; 27578072]; [53562311; 9387897]; [98958107; 22654241]; [40140303; 34368219]; [53504757; 25063498]; [52845530; 8391804]; [15973981; 40091922]; [63725036; 53778941]; [7840772; 69761674]; [51642408; 8085656]; [68026780; 26606185]; [78751851; 87544002]; [4272256; 54252661]; [87578403; 47057126]; [63944052; 37285324]; [26384485; 37764150]; [13678976; 71313625]; [67306763; 72127031]; [8252344; 34680627]; [44652012; 57445361]; [63510938; 11547774]; [12260815; 94676819]; [47008325; 90659453]; [68592387; 18699226]; [93464449; 98858865]; [53222479; 40741236]; [19602758; 82983276]; [63345961; 72517440]; [23082117; 3457701]; [15878572; 46370679]; [92803146; 526603]; [9542243; 44778555]; [95514681; 28560526]; [8507939; 9813004]; [57325982; 13555416]; [95491682; 8945164]; [42893516; 36746236]; [13442808; 64288971]; [23656988; 47762463]; [99274370; 20399009]; [10270242; 70426313]; [36300771; 84048292]; [68745293; 81490326]; [38989888; 42333887]; [98304177; 16399375]; [39538754; 52668152]; [48690249; 93029241]; [97364467; 60846734]; [65897561; 7104299]; [23262600; 42858745]; [98871614; 67669131]; [65412168; 28506256]; [5419850; 82469831]; [43886527; 34984639]; [35542360; 14901026]; [73829296; 52006516]; [19157449; 74223533]; [36735513; 69222218]; [16027956; 98360663]; [66014226; 71371562]; [30554217; 95192132]; [45281359; 16737103]; [45688880; 72414241]; [86270667; 81398101]; [96561381; 67076386]; [46819091; 44969119]; [12758459; 4159121]; [82162965; 28794584]; [99537929; 9189230]; [47640228; 31032865]; [26685970; 57611342]; [54315290; 57585592]; [74366032; 92806538]; [88249526; 47151616]; [66956439; 3312143]; [88828960; 2138484]; [2751658; 3363240]; [79857264; 94448196]; [22390430; 1470107]; [69298905; 93886383]; [15785171; 28828817]; [13808334; 5403782]; [22480008; 81136586]; [52914026; 46849331]; [20751559; 4276529]; [26341159; 63216276]; [2387437; 12027203]; [1952317; 70322787]; [86904091; 97860961]; [46779212; 41013865]; [36360865; 66157866]; [41020722; 54530134]; [81911674; 54304833]; [25407485; 95985525]; [76029260; 96245350]; [94159266; 42841659]; [78415629; 20383474]; [49733047; 16564360]; [91093421; 45648422]; [93680055; 81402150]; [14822827; 84815586]; [51193615; 38665129]; [61952365; 61360363]; [6225587; 51275918]; [95550062; 88921613]; [96400267; 96946222]; [42858817; 34863333]; [75322648; 75313760]; [24644324; 38288334]; [6013997; 29981442]; [61086465; 86472237]; [23239314; 95051588]; [47680808; 81155560]; [23701543; 52443806]; [46293216; 38032523]; [46756459; 5005156]; [29732594; 76260852]; [23459244; 36998317]; [11807719; 63963899]; [24247135; 84706080]; [47558235; 90383121]; [25907205; 40858872]; [82600159; 11317146]; [14112176; 55794950]; [952475; 50150992]; [79464054; 24076037]; [9789261; 24511693]; [72546988; 50235559]; [43703982; 48376897]; [81775944; 57446537]; [19750670; 63420478]; [90803682; 99555567]; [62755858; 89577670]; [72678953; 54918331]; [89486612; 48848161]; [53595648; 76072846]; [25530351; 16035022]; [79275423; 65550646]; [40964934; 94337318]; [8297544; 47070794]; [60766335; 83871021]; [75126715; 99574382]; [34489577; 27809924]; [81701802; 7991631]; [90871126; 99834181]; [75357229; 20447719]; [25409835; 15306822]; [34282357; 56228138]; [46503682; 11620421]; [47987935; 19823993]; [84307318; 33254175]; [5399860; 73848420]; [4219458; 70053004]; [24976916; 725173]; [75012966; 37722022]; [39806688; 473373]; [24539877; 54665161]; [22494612; 62244139]; [38768144; 27164141]; [58156968; 75390467]; [36655903; 82113374]; [74754804; 87622484]; [38171892; 93692032]; [71707786; 65635216]; [59944355; 17390272]; [20412015; 35394919]; [58786211; 81258770]; [69002055; 65200286]; [53708110; 50532209]; [70310469; 54292472]; [26204948; 63901852]; [40549922; 71058614]; [78022251; 47920888]; [59152116; 72758590]; [68781902; 78131377]; [89082984; 44005965]; [86146321; 36901962]; [45976515; 95865947]; [35017362; 56902424]; [98768031; 15036810]; [21548948; 73236968]; [97050531; 75177396]; [9161696; 6438009]; [648400; 28724844]; [10424732; 67187850]; [41795364; 22563285]; [50809943; 50487003]; [73823140; 81409288]; [15714839; 71796815]; [38175691; 80862141]; [41235874; 75076044]; [72090763; 40537420]; [80622522; 45682801]; [7069724; 61017521]; [36892966; 83840263]; [85176382; 48085163]; [85903179; 21010286]; [97436706; 92522319]; [60804811; 37051255]; [95274883; 36959690]; [83204280; 64310752]; [10573013; 77084692]; [9578045; 36375272]; [34087527; 25247575]; [12883741; 88185481]; [5071754; 36236468]; [47415204; 77276579]; [82609364; 94964215]; [97261114; 3698965]; [44159337; 33808443]; [17030816; 1121426]; [15388396; 84462944]; [99400454; 63285048]; [36871364; 86378994]; [70433545; 6230121]; [17982449; 60145472]; [73816779; 82951699]; [79594045; 36631859]; [53697579; 27629991]; [52800386; 60449884]; [89256500; 91469971]; [6208542; 50079709]; [80111591; 26320865]; [99879501; 40291421]; [82474062; 92819607]; [20228097; 65202203]; [26151141; 14802607]; [87100200; 95582647]; [18649204; 6003781]; [92979921; 99551547]; [95311581; 6510425]; [67059430; 82982765]; [31770885; 28994563]; [51325061; 30033105]; [22325040; 11795805]; [95770671; 15524924]; [764515; 9846414]; [21905223; 28871790]; [7977588; 21888600]; [52624543; 66794386]; [27592316; 19651004]; [34056999; 40692355]; [80432192; 99832740]; [34197862; 87744196]; [42595040; 29839632]; [58444888; 89759382]; [59117136; 93688867]; [7029883; 30256082]; [99775151; 37381604]; [95165523; 10633999]; [45774087; 69175416]; [87336275; 13967008]; [75343637; 47509380]; [17092966; 33893989]; [96878465; 8443070]; [6587038; 35868771]; [61950793; 95995486]; [36981719; 83185507]; [16971675; 62474604]; [87702873; 80877336]; [36090494; 70807167]; [30552048; 30589439]; [1591787; 44653501]; [3173207; 21432669]; [46266157; 6699617]; [38175307; 57823822]; [32820432; 91070336]; [71561428; 16413116]; [55247896; 37397642]; [36821637; 32312805]; [31360971; 44413142]; [43259585; 83981618]; [71109422; 2735147]; [25581452; 57389047]; [15060877; 95782634]; [95741403; 54916996]; [58324499; 76916304]; [8975227; 4710578]; [14363380; 32781673]; [9656855; 92094459]; [83390957; 61197634]; [59627133; 72877378]; [32541188; 88434136]; [47083487; 4410661]; [37849055; 45298599]; [44323787; 66037821]; [33376887; 90023662]; [52882753; 65970596]; [30962922; 12269442]; [84841726; 15556213]; [69821126; 63523197]; [94839496; 82475924]; [41448119; 24524584]; [1994891; 9680751]; [15120168; 13938933]; [69235384; 48266321]; [19726523; 90418556]; [72147211; 48744240]; [84864105; 85126040]; [75200996; 1967431]; [86098684; 34870469]; [35087011; 40426886]; [36873284; 97486814]; [48295835; 45169763]; [64603045; 54612785]; [52570549; 66769822]; [96273572; 60743237]; [6847393; 14050678]; [41481914; 28111143]; [39790306; 96154677]; [21960089; 86147971]; [61991885; 97823934]; [39680050; 48158374]; [96024204; 95792746]; [44437246; 1373809]; [71568616; 90310968]; [28564456; 18607620]; [74510607; 95988547]; [9786469; 7131547]; [94960841; 85723266]; [66064185; 23120224]; [53563161; 26635025]; [6049824; 86335078]; [70959335; 41692236]; [56243466; 57244995]; [12161586; 44141753]; [1649512; 78706798]; [16890053; 8264180]; [48161859; 90562736]; [36961304; 54484591]; [2157655; 92086580]; [93044669; 61675415]; [88886; 62263007]; [83507844; 7641379]; [22418276; 285647]; [54647765; 27263376]; [47612257; 7102467]; [52039419; 79767577]; [65046739; 9899871]; [53674211; 20601182]; [11495390; 80399243]; [89223387; 56452142]; [25403164; 22472491]; [85828880; 48351350]; [93485179; 38912041]; [82000504; 80917883]; [53570708; 63255403]; [28739238; 98291929]; [4970840; 33098248]; [626267; 60807841]; [92384801; 41143808]; [9126609; 4256821]; [89175883; 47726288]; [40141765; 75119396]; [49280859; 94109873]; [29396837; 25974950]; [66460153; 41674694]; [55640117; 29864779]; [90133266; 94128799]; [46160503; 3012940]; [80662912; 2732151]; [20134937; 93732033]; [52760846; 25944267]; [56114143; 91001365]; [18425845; 55833877]; [33202879; 78826842]; [71107009; 76608222]; [78970829; 76434458]; [59453529; 54204241]; [93810242; 52783632]; [10296333; 38267119]; [11832100; 26156301]; [50441615; 53373520]; [72058889; 45837694]; [36016662; 13151806]; [40352520; 50498503]; [11256753; 45812514]; [95992481; 84451035]; [22016792; 47247854]; [64599130; 53357847]; [16466741; 63406540]; [23727890; 48518852]; [22473509; 40877420]; [33889663; 11731954]; [82260631; 44746414]; [2014828; 31440953]; [21831862; 34937705]; [49129474; 11536457]; [31378647; 89300922]; [49154052; 98205549]; [64557257; 69634311]; [8002967; 65418003]; [22090514; 69427842]; [76162726; 6446746]; [78926294; 44986071]; [10317191; 82870740]; [19538447; 74456174]; [97570658; 26263649]; [32612485; 42919745]; [27119006; 41815513]; [80466752; 70882129]; [23576056; 20760602]; [6313626; 10901471]; [60143583; 77272899]; [87409925; 594952]; [96800067; 45179535]; [19660373; 47722455]; [14847396; 71484029]; [40252818; 1675011]; [50774422; 69058407]; [31267512; 75837821]; [18849339; 22646052]; [36183215; 52747815]; [36455698; 53385346]; [79711290; 34247396]; [36189864; 29229459]; [37066740; 62000770]; [71192200; 21441216]; [89547535; 60401652]; [50774453; 5922897]; [64895663; 50748302]; [78721783; 55413870]; [80272849; 66391031]; [15812291; 20941497]; [40770745; 32369668]; [98883334; 15574762]; [16343144; 33829360]; [25797318; 68405108]; [94801034; 98768954]; [26345243; 57830032]; [42650232; 46068557]; [96883939; 72821856]; [51763053; 57130203]; [37424309; 33652304]; [68365604; 9775935]; [65365232; 26247111]; [19455317; 40530940]; [73976695; 88706494]; [54000203; 12008074]; [65622030; 21853533]; [98006374; 46696922]; [36251788; 63400682]; [20606630; 87118079]; [22763098; 81533892]; [57740897; 45715694]; [53949917; 51078975]; [24988557; 9140534]; [8222867; 20999488]; [11826775; 10846380]; [86487024; 71412996]; [43444503; 21926880]; [90191216; 91100919]; [31617134; 28525566]; [17430455; 69689723]; [34090149; 81029394]; [36826381; 62322957]; [52924743; 61476803]; [98626381; 66734358]; [6372146; 40230899]; [18846371; 76477608]; [25808677; 65727676]; [54926016; 81094173]; [96858274; 34729261]; [20196780; 61803095]; [41185405; 18080339]; [90466330; 87098971]; [22123515; 26842301]; [78709094; 67473195]; [30292290; 80891304]; [49462282; 79204129]; [14295980; 50224518]; [54872069; 57600071]; [21955454; 16872359]; [45672308; 32277766]; [51806049; 22514885]; [53155706; 51230566]; [49108420; 60235989]; [18588268; 4883655]; [34274736; 10489827]; [48530334; 66311859]; [59861956; 83105640]; [30166436; 89680320]; [86860025; 35236103]; [11780554; 86589742]; [75235605; 28290793]; [6116169; 21187198]; [62402606; 50666995]; [84578534; 68208900]; [79487246; 79094452]; [47571733; 36238809]; [62523514; 65971963]; [69692447; 49570472]; [9233669; 86834877]; [4324361; 69603299]; [18854081; 38968217]; [88581544; 28781992]; [53728864; 29010959]; [33936172; 27912743]; [65993219; 72643167]; [89055008; 90738386]; [1757166; 26876089]; [63306761; 69866649]; [12270126; 69660087]; [738903; 448560]; [71057186; 68705758]; [45840126; 79663576]; [70661434; 25021681]; [1458140; 44829622]; [297257; 84452920]; [4214234; 77788977]; [12217284; 88901849]; [42694700; 40563654]; [17994429; 99353927]; [83480632; 31966202]; [11527227; 53223636]; [80019999; 6750762]; [42006107; 586420]; [95452653; 68645216]; [75589456; 9446958]; [28785595; 94946016]; [41443259; 85484707]; [2552029; 7747914]; [68877766; 86637581]; [89503263; 49110256]; [8211028; 39093280]; [2219618; 38989264]; [15193457; 24791335]; [5527807; 2556696]; [96763248; 95349609]; [16610608; 77549921]; [11457530; 51314071]; [79409992; 96733580]; [38513550; 67935327]; [66590716; 89259413]; [31708657; 95822262]; [94406961; 98307096]; [11906321; 55587392]; [71492010; 35237602]; [59116065; 81727574]; [47259454; 37971622]; [76908592; 93769429]; [5123610; 2283774]; [88229401; 17839875]; [92300499; 7113218]; [31967960; 67106008]; [34147893; 75441524]; [21235989; 57048977]; [57396268; 75082956]; [62731484; 57245808]; [46236713; 9543986]; [54815620; 10694765]; [53114642; 86430857]; [44050292; 48970533]; [10343404; 32253426]; [80155415; 2556599]; [51974217; 74523409]; [58623259; 56428218]; [91442527; 6429249]; [40842233; 95749494]; [70225703; 32704717]; [78997966; 40581973]; [19365315; 17411052]; [21401245; 92966711]; [53625182; 36322334]; [6623637; 88937552]; [45764132; 13234078]; [68705630; 73233724]; [93558150; 32807849]; [60641678; 46679983]; [93946903; 51707281]; [55630800; 74027736]; [38569805; 99492682]; [12731593; 8666708]; [62689296; 4932397]; [5369866; 92509353]; [84313369; 50704880]; [98123365; 47764356]; [26909956; 43925704]; [52349816; 92002940]; [28313778; 34141073]; [61677805; 80200009]; [21732893; 13260474]; [85722530; 13420170]; [68736621; 79316044]; [14176259; 84755727]; [26247245; 48984489]; [427960; 40649687]; [59991151; 42862467]; [15483078; 31750725]; [17438702; 58914778]; [65047638; 81509812]; [16957616; 98326189]; [52904159; 19501629]; [81803574; 40863743]; [32136542; 65746678]; [59342428; 36119186]; [18234193; 10160908]; [63930293; 3763994]; [34068232; 89793776]; [95231896; 14644599]; [18809979; 48435777]; [26936129; 97526028]; [35985491; 46102158]; [36510081; 86193188]; [27697292; 59662867]; [50135761; 67405059]; [56789453; 49949199]; [9184357; 62060127]; [15063421; 5850177]; [19853440; 53172778]; [44561987; 1825287]; [21277399; 41949136]; [81330833; 58543757]; [2612870; 94574531]; [59606103; 96903695]; [57193442; 22534916]; [26322583; 3740395]; [47003494; 91668521]; [5534140; 52071890]; [23185249; 76185588]; [82325775; 51056995]; [87132931; 38793333]; [11532432; 43744918]; [16078584; 35387646]; [85891494; 45397373]; [54969475; 60630920]; [64070029; 35106923]; [25458708; 32744557]; [33411033; 55738193]; [79765625; 2905994]; [62865640; 14896960]; [58659131; 25297575]; [20337845; 12429018]; [50737464; 53048843]; [18688286; 53210258]; [36857864; 6992575]; [36180106; 34560746]; [76649085; 93341210]; [39207719; 26965296]; [99361249; 36758854]; [43600473; 48906850]; [46790875; 76888000]; [16719877; 73509322]; [76244701; 56197575]; [48521877; 70153979]; [40468679; 5053075]; [77673620; 77955902]; [79109017; 74302664]; [48856621; 26202636]; [67867701; 85472190]; [16812164; 9833213]; [27910630; 90817509]; [4495935; 12115397]; [94875646; 32640618]; [63758202; 50528123]; [63705989; 37107102]; [8973538; 19228942]; [24168827; 22522498]; [77100206; 96850362]; [87583526; 68853164]; [16248706; 31598255]; [8833618; 12261592]; [4762756; 54316575]; [37448041; 77945611]; [74184643; 19830273]; [56927605; 61920947]; [74721118; 51668492]; [53263124; 25540618]; [41359004; 47582280]; [92203062; 28279192]; [74875659; 91981911]; [90287602; 82572158]; [37569116; 83457423]; [43653954; 332058]; [67622332; 95981762]; [2414224; 51039928]; [28209687; 65834423]; [49633871; 46715118]; [16146026; 99381741]; [40346448; 29031974]; [46766938; 5147533]; [87102438; 92194929]; [81043293; 1004586]; [80608043; 11657846]; [48859561; 30166496]; [3575708; 62392174]; [16001683; 58713677]; [98837204; 45313847]; [18687723; 81160262]; [61915984; 6105850]; [84340032; 32325756]; [76725490; 3704821]; [25942327; 83326393]; [37117308; 15625427]; [24247277; 96427721]; [80429504; 65000548]; [80677747; 9590156]; [5904356; 21306318]; [27279915; 96323762]; [72631989; 20941221]; [82500326; 3400661]; [41119245; 79086522]; [20576797; 15519445]; [38982165; 56320221]; [92586950; 87476685]; [82500815; 71198249]; [81373226; 25746968]; [58135854; 50866492]; [29177854; 15551539]; [45382602; 58915493]; [60339232; 2981026]; [54108773; 97349308]; [97470013; 19270055]; [58604570; 65489368]; [59558459; 63460734]; [83030029; 9877062]; [96911007; 50411986]; [53382639; 20754453]; [30894048; 45440929]; [40790673; 51325290]; [31522422; 70657654]; [82065718; 22095770]; [53324226; 83916]; [83934230; 97217030]; [98699320; 15841637]; [35286567; 49816885]; [47941653; 86906754]; [50385283; 57514403]; [84566845; 24610286]; [20187982; 59610157]; [69163168; 56658091]; [98803875; 62093434]; [29146588; 10224258]; [72528225; 83496212]; [90192589; 50075146]; [1833629; 45252469]; [76268637; 26995719]; [28297742; 20922725]; [34320559; 46761308]; [66355275; 92616171]; [47970115; 25607939]; [14990082; 48688774]; [45765614; 49408530]; [60658706; 37515922]; [21505268; 83838897]; [13303176; 79476683]; [45508170; 14177167]; [75592151; 79356929]; [65531712; 67145389]; [29305205; 5226501]; [1266542; 26204442]; [87386032; 17079776]; [46118691; 56419918]; [55469213; 46583019]; [91070263; 58799038]; [30367824; 98718198]; [21122917; 47667416]; [12028153; 22485111]; [41861573; 77976930]; [50246375; 11195595]; [47593723; 60346637]; [5855503; 29825840]; [89863198; 20333286]; [34332658; 88241392]; [93117802; 39037868]; [93395264; 64965675]; [47708625; 73466279]; [30360743; 614736]; [11920761; 65531783]; [43368845; 25905537]; [24299383; 60452673]; [10474265; 49016642]; [23143267; 96644476]; [72186180; 11035351]; [94588964; 95438377]; [62749080; 84417082]; [80566198; 59119253]; [85053519; 11564094]; [1635730; 57412438]; [21397404; 50054770]; [12170711; 87472359]; [62335834; 53819741]; [16884920; 97747636]; [80061557; 40654349]; [75888431; 88689922]; [16928021; 5036653]; [87115342; 31743328]; [55723133; 26262502]; [81513182; 46077460]; [15901309; 67496590]; [79746035; 44419798]; [68758352; 98606888]; [29860161; 54083476]; [96839259; 57412807]; [3853994; 66230771]; [67371198; 5151630]; [5351791; 54349280]; [5981705; 49829414]; [96088038; 4530641]; [55771192; 95805486]; [86032361; 35307321]; [33341943; 13572971]; [20736448; 60277885]; [57608037; 24635859]; [80428130; 72509687]; [77390323; 48780629]; [34743276; 4328055]; [36959969; 49851738]; [17809741; 48878441]; [7452448; 21515208]; [89875418; 30506779]; [39391207; 76666546]; [47327322; 20032205]; [36285153; 57657413]; [80581032; 74999151]; [4262705; 74479063]; [12446489; 30851724]; [61021100; 94401027]; [43399148; 17315052]; [84005709; 72454989]; [29552938; 58107182]; [70572584; 62584616]; [3823733; 13275394]; [63644881; 26486598]; [81817265; 31897139]; [86660652; 3554221]; [80271770; 85686002]; [9491500; 77387699]; [1248448; 76173335]; [88258816; 67869900]; [74262348; 21122337]; [28590710; 61308837]; [37613362; 16551560]; [33041970; 47495579]; [37342581; 99319952]; [99514535; 7906581]; [57167163; 26330517]; [19288455; 36398772]; [45465574; 22486977]; [72812906; 5884282]; [57502001; 28015489]; [22587022; 91013353]; [13255709; 55721977]; [6121370; 66840550]; [6062938; 66755250]; [12593921; 9550432]; [80293722; 24685567]; [26422643; 39633204]; [39800784; 21062752]; [77822545; 4746823]; [52086319; 67754178]; [78508550; 15180828]; [61709657; 10983433]; [90436050; 14974614]; [70684305; 79842875]; [92165193; 29874134]; [10155452; 69889604]; [68642970; 23612054]; [7973190; 75546916]; [67770290; 68385533]; [8201951; 82005638]; [31850741; 28404538]; [76946664; 34557509]; [92568289; 19567510]; [75106350; 6389849]; [74148315; 65634422]; [54322086; 7124128]; [51988525; 28734406]; [15084858; 1008892]; [69249863; 24679331]; [42407441; 71996735]; [24009660; 26443141]; [19862139; 44704659]; [905772; 2057726]; [1293007; 46935034]; [7053033; 9532706]; [5850849; 65517088]; [57102478; 74669505]; [88200610; 97259149]; [9055226; 64486691]; [93945681; 53911641]; [21988320; 1338666]; [12674420; 19191455]; [54994312; 9403030]; [29226068; 55859751]; [44513272; 17504108]; [19184402; 55114430]; [49952395; 81278122]; [52012157; 21919225]; [64302598; 64361841]; [42534161; 68010077]; [91938154; 57781493]; [29060918; 92450342]; [75334392; 13912938]; [54475830; 83041627]; [43407954; 55477955]; [56587171; 35294977]; [38482131; 32838416]; [30783853; 11549130]; [11017198; 15753755]; [29553723; 47288098]; [62261163; 93653643]; [79900415; 57581218]; [91456164; 26272009]; [3007727; 52861102]; [41838557; 25554217]; [15316994; 9457849]; [22177927; 83518648]; [83045821; 32919285]; [34161095; 65435240]; [57465966; 13288177]; [94690235; 77794056]; [29629648; 56889319]; [4928157; 48679487]; [55324275; 45169613]; [60124629; 15177067]; [57361081; 17009638]; [51826825; 62047065]; [51782555; 76001674]; [56476558; 86709112]; [19346756; 50487032]; [89341869; 51173659]; [70579750; 51901688]; [23946477; 16710125]; [11130505; 36679544]; [20276577; 61703136]; [58179248; 38453744]; [21056759; 58946596]; [89227532; 49543570]; [18622182; 64662906]; [76638872; 76220977]; [3428579; 59122479]; [87487614; 45844999]; [58095772; 11601824]; [53674039; 72853455]; [6967619; 90940350]; [92217561; 97421877]; [40889284; 81814363]; [64163903; 52610466]; [11844833; 43260054]; [82330476; 33322154]; [44014319; 88099334]; [71233865; 67874527]; [3461350; 371426]; [88895166; 93329573]; [51400516; 4944908]; [60257861; 48560451]; [25296078; 33380260]; [62840405; 65148372]; [47091716; 82156566]; [24592933; 85823174]; [16137156; 63704414]; [33041554; 10347780]; [23510640; 30384306]; [76888646; 14572818]; [36191084; 38199289]; [66378271; 36615099]; [90575617; 29831085]; [54740270; 19803653]; [44981424; 6046441]; [15896382; 32805639]; [70413812; 19836384]; [36759372; 40007327]; [58610829; 66613054]; [21243807; 83118510]; [19697168; 71692231]; [47827059; 38052843]; [74261501; 9071627]; [74422198; 46127560]; [34933952; 63646874]; [31984709; 2159896]; [66956254; 92056160]; [83094909; 13375162]; [45489724; 1115174]; [54096034; 28800389]; [72696779; 92076607]; [4927421; 22076560]; [89184894; 78819680]; [65866813; 11648415]; [48476190; 29112464]; [30267821; 50129793]; [25339644; 61222834]; [43226463; 8961665]; [45867925; 81712828]; [56216577; 8831523]; [86321316; 37315877]; [76480756; 8983372]; [98724743; 38741937]; [53827543; 34180000]; [82861427; 89100279]; [65999767; 55518016]; [42918793; 22891548]; [30927835; 19941981]; [42992395; 53542691]; [8598863; 36016170]; [96575767; 66871148]; [85219950; 68793086]; [77546127; 76964038]; [30103841; 84851048]; [63391591; 92410238]; [38052995; 41957842]; [38280974; 93290690]; [18894436; 7430570]; [64580385; 26194449]; [84087131; 98976885]; [63190668; 9700385]; [24343873; 37314884]; [77301178; 44965159]; [8301033; 90690427]; [6148120; 74651909]; [88904656; 39786121]; [52866529; 9412570]; [82805283; 99567277]; [94628792; 86555519]; [69857087; 18671972]; [64508623; 24998718]; [40614242; 36191440]; [81817279; 78941197]; [30877217; 15198759]; [48772437; 2017528]; [10770319; 13567411]; [79839480; 5007312]; [17910560; 49577866]; [48129994; 10675488]; [61990248; 91983303]; [7186718; 16071029]; [93635370; 53077837]; [49883630; 44773767]; [53512362; 81322421]; [11460966; 68311445]; [79839721; 3314137]; [90902607; 78831165]; [23837004; 76726976]; [30387844; 52796339]; [81526002; 32336166]; [20503306; 13484085]; [90504130; 57836010]; [79251655; 11245574]; [75172028; 99653518]; [73694840; 62612614]; [45253780; 61501071]; [43351716; 21141750]; [74986035; 27816170]; [39314598; 13219728]; [22732973; 52188729]; [71564300; 19584883]; [9025738; 28676785]; [53568540; 44167257]; [27549887; 78037385]; [29004943; 68706477]; [50198903; 57625391]; [36238387; 18650658]; [4326672; 89971477]; [70077613; 84840889]; [28276874; 60601686]; [53329529; 58141767]; [80060389; 75794492]; [40742653; 91922779]; [58686756; 54601324]; [17887561; 2487199]; [90997720; 75206041]; [40345339; 201581]; [44637838; 24302634]; [30795293; 60982286]; [89867334; 8752209]; [92479043; 56426710]; [58131730; 3246446]; [16430214; 20563415]; [50152280; 29578501]; [7602572; 74723042]; [26431731; 45935736]; [46709619; 49075750]; [43902910; 45032850]; [35043137; 21957964]; [87946949; 74310953]; [99263508; 66502622]; [32650566; 59642959]; [19782357; 66862352]; [8566188; 13717278]; [13840816; 9137122]; [55775632; 37552667]; [64737654; 35155319]; [45976908; 59747043]; [65603037; 46830631]; [35615647; 40762216]; [57848581; 51691834]; [47068091; 94027930]; [77421213; 9233272]; [93832135; 84229051]; [20478466; 36276267]; [25894100; 85434752]; [50192043; 79000915]; [25962898; 63041715]; [47579412; 63575440]; [24847686; 57263046]; [84551590; 94289252]; [21440370; 15121218]; [28544584; 85599082]; [11379744; 92173274]; [33644643; 50434193]; [73050271; 73769706]; [18954737; 60465033]; [8454812; 36214541]; [43232733; 53901682]; [39330138; 88523953]; [89491489; 6985294]; [43584443; 25867652]; [3382146; 46246977]; [57922168; 19947297]; [52440655; 83658419]; [43858598; 34551345]; [66156136; 53978690]; [67000139; 50880610]; [32433185; 88623346]; [37115135; 37442357]; [77214250; 50008415]; [16758625; 72551228]; [87404200; 53468557]; [90352568; 65360246]; [42629982; 68892765]; [37633153; 83093961]; [65239141; 10285707]; [33498433; 2667071]; [39462735; 63175530]; [86503421; 54219353]; [32934481; 23765163]; [27514518; 97156559]; [82592513; 68066759]; [33321356; 90520394]; [58778399; 68845123]; [12770292; 78415942]; [65543194; 57363928]; [86516431; 9294756]; [90865026; 35859838]; [73114836; 4995413]; [79258057; 25512059]; [65899424; 11473463]; [27643854; 71702759]; [7841632; 61671278]; [11348581; 4662304]; [95147709; 31071301]; [4615235; 63229439]; [77236286; 1326228]; [55060400; 38530240]; [97754192; 67549055]; [11540840; 41332336]; [92917942; 3586732]; [89808572; 62374498]; [96964409; 61964711]; [15942992; 90253554]; [31408187; 1590369]; [92111310; 82776092]; [45859817; 83885548]; [99488322; 5636734]; [65319671; 31505779]; [66868832; 33853350]; [92476588; 26169713]; [29740182; 39557583]; [44419179; 6535699]; [20688293; 99031195]; [72603479; 6484579]; [4459799; 36636282]; [11776979; 71768301]; [11014946; 53446429]; [6596333; 61620657]; [83951879; 22363748]; [78860901; 7429963]; [960799; 38705369]; [97801893; 74798706]; [53169859; 55144215]; [41181573; 30691089]; [83154178; 93918056]; [99198210; 42262764]; [28116321; 26526440]; [48939702; 2672601]; [77110630; 8996570]; [12602468; 62695768]; [81026529; 74128053]; [84617534; 86836661]; [39164789; 44480411]; [47652462; 89717539]; [11269968; 81492482]; [88677357; 35905231]; [38693151; 73620601]; [32049711; 60056306]; [6634907; 8732713]; [39965022; 83262118]; [29554583; 77975461]; [70800587; 53606490]; [36665819; 51509252]; [64978618; 42019679]; [7931432; 39588213]; [28909039; 36547047]; [1511366; 37703747]; [30609763; 13421470]; [87959165; 31297145]; [68412368; 14853101]; [86846226; 97934053]; [46352674; 63701890]; [31292367; 77166702]; [52604548; 8713626]; [34159124; 57147536]; [40655440; 82092157]; [47478052; 8734912]; [1775948; 26870691]; [60299035; 75278579]; [95133542; 58761417]; [52617250; 37183969]; [66895994; 66864541]; [54104307; 64896756]; [88172358; 44217438]; [39036873; 99130900]; [46976534; 85311456]; [23907180; 61319965]; [69167749; 10085883]; [67011177; 11455055]; [14354098; 48986858]; [92313540; 23787851]; [66261034; 10994496]; [88208884; 12311609]; [6664627; 53156695]; [9162030; 18924618]; [11762266; 99263601]; [84867804; 97035963]; [76925888; 15359851]; [46916290; 17973865]; [52226818; 55968083]; [79392135; 23891706]; [57118172; 89371206]; [61042058; 42800735]; [56003027; 33942541]; [65658425; 90723671]; [59979203; 8004326]; [33752510; 62391955]; [92308368; 60405996]; [55254851; 95274793]; [22823327; 35603466]; [2804028; 65871701]; [48029953; 63792480]; [7280625; 12702756]; [88243175; 21579994]; [98120851; 14951790]; [25907111; 88074386]; [52732391; 39002110]; [16079905; 68082412]; [41368383; 21071283]; [10744805; 13517389]; [18921726; 48565896]; [69259354; 90248399]; [2858583; 91349002]; [1430752; 770409]; [35385110; 32637179]; [23978756; 73175753]; [83301532; 19188268]; [45268185; 19201280]; [88390106; 15769742]; [99190283; 78705250]; [23950599; 914531]; [48636696; 34688876]; [54286166; 88588228]; [93420095; 45328215]; [82321251; 76441618]; [3230546; 66545107]; [43489796; 56264897]; [42291328; 56941516]; [79773568; 35447657]; [38722287; 50396443]; [68532626; 47850621]; [97711520; 99514747]; [82766487; 15439428]; [56104082; 85657052]; [12469538; 51287745]; [75765503; 2689940]; [90086887; 60340351]; [21277411; 68864009]; [24040950; 39179803]; [75245475; 25320679]; [41513694; 86428883]; [95456155; 99121326]; [42861268; 69074706]; [79961853; 86772586]; [27709575; 50648745]; [47445310; 48805097]; [19184458; 9968737]; [44239961; 49472263]; [60215330; 78344890]; [72675756; 52131676]; [94437895; 61654509]; [5206510; 50736616]; [56332311; 97193866]; [54976536; 34005495]; [31066394; 52976497]; [33037919; 12315950]; [13786105; 35732679]; [82898261; 39063125]; [6689875; 26422367]; [92569077; 57758655]; [96312777; 49836826]; [88631046; 64846194]; [74788907; 46002670]; [58359711; 67299089]; [43372075; 71616911]; [23292576; 4967411]; [66458144; 66926137]; [71769802; 55989791]; [46657059; 14622217]; [92811695; 24577778]; [26576709; 1312638]; [18416039; 57032402]; [29380068; 94688219]; [96177271; 95660702]; [27728079; 20127561]; [63832137; 2349452]; [52325029; 9357929]; [35076014; 492628]; [93018403; 83611174]; [87877995; 52595265]; [96610991; 76693999]; [46954466; 87222515]; [20817989; 27092023]; [35701308; 33980563]; [44895180; 88824325]; [27177888; 53376975]; [2557825; 19995557]; [61375484; 34374462]; [92888355; 71570646]; [31933917; 46858064]; [255015; 96203843]; [55680656; 8028266]; [76533465; 32172441]; [16409986; 27088557]; [59327013; 28542869]; [85866111; 14487196]; [35097325; 89539230]; [96414810; 75108919]; [69088657; 38735461]; [22972035; 57195536]; [30399495; 71846136]; [94660655; 76584917]; [90221180; 3242787]; [26873128; 76408624]; [32241659; 47755466]; [27323623; 75303204]; [91129433; 85188674]; [98045577; 30836007]; [74013183; 91434493]; [56017931; 49465477]; [38069657; 24844796]; [40118382; 71424003]; [46269889; 65335069]; [18008782; 44870524]; [83778286; 7788087]; [15609227; 28945696]; [29032856; 20452798]; [37653486; 72659192]; [40153737; 28880507]; [88923655; 88074159]; [62113916; 1051641]; [68319628; 48455584]; [60063946; 54245635]; [1575872; 92019656]; [12690462; 64420151]; [59881196; 77157245]; [8902966; 2086196]; [61144063; 56388313]; [66783739; 37536107]; [77911999; 59664764]; [39942294; 44010052]; [98394317; 92435868]; [46734948; 36593135]; [40423411; 54665384]; [92156437; 72582606]; [41258502; 46884527]; [49281609; 90598160]; [32452756; 75884363]; [57939793; 22212088]; [49957480; 99114669]; [22668532; 40501387]; [55610277; 16327947]; [59435212; 96945777]; [58308008; 35504654]; [738597; 74151014]; [94169715; 43409324]; [3353333; 41540462]; [98571432; 48094711]; [96159056; 12752299]; [90730558; 46433388]; [46348577; 40739557]; [22861126; 53572717]; [82728316; 32063001]; [5123630; 54517139]; [285333; 99609769]; [96151362; 19757598]; [77744316; 37832573]; [89908440; 1289157]; [11560163; 87653829]; [8362272; 49918814]; [25625734; 11528840]; [20595904; 93578547]; [66129225; 16388399]; [93273241; 85739340]; [3820663; 6116912]; [1874085; 69753135]; [35239872; 23858951]; [96995388; 54646055]; [68070532; 90996159]; [21331016; 63075151]; [36651198; 70529161]; [32159090; 20365749]; [17849931; 10316463]; [25918953; 39732749]; [14608663; 71274958]; [79296106; 93564877]; [13332146; 27969481]; [54446076; 17477928]; [67600541; 93212248]; [64810733; 50446934]; [81135408; 54981354]; [60655888; 3411655]; [53739741; 68284960]; [75525877; 66583520]; [84110232; 62870167]; [32194002; 39799614]; [48723601; 77200316]; [74255839; 92600502]; [69850044; 43740359]; [97713603; 41430762]; [27876194; 76677384]; [67765201; 37297532]; [53731400; 63188861]; [32351990; 40348441]; [34629826; 13561599]; [52269664; 12848528]; [82397420; 13720706]; [47782317; 26793917]; [39441662; 64739564]; [73483331; 18087491]; [8585310; 88807534]; [60698809; 96249708]; [40141196; 24686316]; [16812628; 18688794]; [79848908; 798092]; [31595091; 85463348]; [3478098; 43632812]; [51108163; 98416096]; [96180539; 71732499]; [8648378; 85447376]; [24261828; 25362342]; [11875288; 23654933]; [33191748; 50000571]; [76515514; 42355406]; [83284657; 16810925]; [48097363; 3211440]; [37228854; 18856941]; [36791021; 90832383]; [46016573; 41611545]; [66615162; 62440864]; [87821036; 43134175]; [53919410; 63295788]; [85776151; 32477710]; [68858648; 47871127]; [85206350; 79287546]; [40394511; 44420855]; [66393507; 32170569]; [28043500; 56655584]; [41512437; 40729376]; [81291950; 40396915]; [49627264; 3319759]; [59269928; 63231312]; [59979274; 3634454]; [80288070; 54637366]; [38316966; 28560761]; [25628769; 72973020]; [32639224; 3645422]; [98171455; 35236613]; [80072868; 15239433]; [28127208; 18935957]; [96715843; 46741506]; [17235654; 612592]; [24352223; 86252702]; [19156544; 95480306]; [27092196; 34561250]; [19375692; 8876903]; [41864600; 20825009]; [65630131; 94923860]; [94099444; 64043718]; [69609925; 93863304]; [16661891; 46174741]; [43644579; 8927170]; [43132101; 86030588]; [93301360; 17677311]; [62594882; 91034078]; [93126069; 2679065]; [86004343; 84129854]; [59296426; 82802591]; [48301569; 93184442]; [47790912; 94851193]; [75387825; 74590476]; [29036344; 6735795]; [60301384; 73516828]; [65541752; 60542748]; [92702972; 31307624]; [5560590; 93634582]; [91794361; 43873617]; [71710515; 87501483]; [7470151; 99999179]; [13180609; 6217635]; [43486394; 23840173]; [85412592; 59877111]; [42962775; 8823879]; [91888829; 27693054]; [74386898; 80542899]; [99744333; 34747696]; [84261626; 57486056]; [43601530; 74559812]; [2500602; 48190006]; [97317922; 85361768]; [70849185; 75146804]; [32495427; 26047156]; [11537438; 20793607]; [4828936; 48129185]; [21349117; 82211821]; [50816450; 53335373]; [76313700; 26553998]; [82306405; 5341377]; [86212481; 18467749]; [86052633; 92922147]; [31221308; 48375111]; [76539469; 16986607]; [92228835; 89717771]; [42535148; 48632029]; [25860992; 89766078]; [35242433; 32633885]; [54967027; 40434663]; [68311828; 10041587]; [64914783; 71563130]; [79112718; 77162491]; [85695210; 85684369]; [40567076; 34098012]; [59439284; 44617704]; [47289754; 2632616]; [73123134; 74442118]; [36860190; 86526563]; [75236227; 93228825]; [50820341; 83255648]; [48970681; 62804404]; [47829207; 84380570]; [25899397; 23958262]; [22179026; 52065912]; [52641236; 95029799]; [57237825; 52449982]; [5880787; 12980111]; [35244303; 22503291]; [86920693; 44686528]; [64315886; 58261185]; [74462495; 33794667]; [84677296; 12478014]; [72810870; 68867512]; [6882980; 85913680]; [67101142; 39592868]; [43627857; 18832982]; [30563110; 21379912]; [93441979; 66279344]; [27921890; 47369663]; [54180685; 23073959]; [96849706; 21829132]; [41894479; 8774816]; [85261443; 13557184]; [74126197; 98325079]; [99614297; 87996234]; [91557275; 69905445]; [39796040; 76167694]; [98807021; 47835331]; [46662880; 92900679]; [88399832; 39075921]; [53742457; 32172014]; [12300869; 40401486]; [82122457; 52731862]; [4524651; 63302295]; [24139420; 9628056]; [63042495; 9196434]; [6302486; 23637608]; [68089232; 19183960]; [22314933; 35274455]; [18132138; 12333966]; [12726652; 59179255]; [69440418; 33008371]; [4124533; 79910063]; [18782446; 96820934]; [40816014; 685023]; [50439114; 77495814]; [78354238; 12118310]; [64258016; 15263579]; [17550371; 91089963]; [41205658; 91283092]; [51871; 18130553]; [16112106; 71080087]; [17375128; 65559075]; [11772566; 67729186]; [23746196; 35898142]; [56642681; 19926249]; [77656759; 31896033]; [63318334; 24977969]; [45950923; 27109083]; [60750996; 55192632]; [29918175; 3271515]; [39726450; 58894622]; [67835082; 23098944]; [66736978; 63772046]; [27285599; 73791614]; [62409303; 3220764]; [2471575; 24054084]; [8077452; 77973795]; [61422789; 82999523]; [40149974; 95876323]; [77168383; 53942565]; [13350006; 53776145]; [17443220; 32922964]; [7811243; 80180786]; [387842; 20636757]; [22764034; 78975267]; [6731948; 62398107]; [47125923; 26191672]; [3456513; 27179900]; [18529341; 78403737]; [5437755; 72835942]; [51431901; 91166659]; [90872024; 88900239]; [39253868; 33459076]; [21683824; 46670696]; [75405982; 12174268]; [49348325; 89905118]; [39941507; 63549566]; [84609582; 76835481]; [54102083; 2749023]; [62324181; 62685419]; [25190168; 6077378]; [7160395; 65564500]; [79294642; 95634964]; [36491181; 79507958]; [75174153; 11121408]; [45260342; 84324335]; [16418787; 26928440]; [88915136; 88472243]; [54136326; 93739431]; [28184831; 92377190]; [13732004; 78875378]; [34981086; 68531255]; [17603480; 49747798]; [64834431; 50779715]; [44527138; 42925328]; [61246095; 94814439]; [64531123; 11862261]; [99837670; 69178051]; [67462037; 2852637]; [85798492; 50268709]; [98925571; 61128046]; [38676988; 25367305]; [61206277; 83709996]; [10519904; 36420339]; [24389520; 40222144]; [12411102; 33985015]; [58759952; 84719267]; [37908186; 16060001]; [40922451; 85625824]; [22612055; 49865216]; [15930604; 15629955]; [46111382; 22634945]; [24330936; 74877682]; [9971996; 12949090]; [37460005; 18570991]; [37045320; 90078967]; [85102558; 28519090]; [53741394; 61543613]; [86032136; 67137434]; [3353714; 77931537]; [53690948; 750336]; [9479591; 5651033]; [68877930; 43094094]; [808750; 13124531]; [20507077; 81564326]; [66407085; 10744948]; [22100260; 89742267]; [75746025; 26206782]; [15043247; 90978560]; [89551604; 82082173]; [91941879; 26958897]; [22363760; 89448377]; [51232062; 31850458]; [64444522; 81824400]; [42126976; 54825598]; [15033206; 99717375]; [48931298; 61520152]; [17560324; 30100348]; [18354839; 901443]; [16821102; 62168109]; [65688157; 33983268]; [12608201; 26103104]; [86528022; 49371172]; [16428792; 78971728]; [19445476; 12882358]; [98934303; 94943853]; [25315702; 1589791]; [18587767; 29242472]; [87263672; 57061951]; [23293443; 95410119]; [94987229; 50350533]; [64582974; 41135718]; [74984526; 94818302]; [47521430; 17976262]; [6241709; 6896221]; [67353561; 78707194]; [5229751; 61107688]; [8891411; 95451571]; [14110500; 17124163]; [53086970; 11087294]; [86436807; 29065917]; [32610487; 22697845]; [46759094; 94235406]; [93692292; 95842797]; [67882710; 90424176]; [27758201; 82968943]; [58556233; 28698353]; [59603073; 54575691]; [12345131; 84022425]; [78473119; 79141485]; [72065367; 95987476]; [14417540; 57667033]; [83510307; 7840694]; [73541147; 48043228]; [91063702; 50830068]; [16389102; 56067609]; [97574565; 29531718]; [80335122; 99224288]; [52296135; 68871690]; [55672805; 6525512]; [94205500; 4887643]; [35190213; 8265271]; [76574609; 202583]; [53697870; 62092961]; [26301532; 48304917]; [95151402; 31705598]; [75651943; 42024863]; [67859996; 63389268]; [7659984; 22199112]; [26596401; 57157620]; [47026503; 93931084]; [38592154; 17092049]; [49518691; 15348702]; [70075601; 45139953]; [59305163; 25442750]; [1941555; 48704478]; [6070743; 46522710]; [63232165; 35870654]; [94194652; 16598814]; [88991967; 29512200]; [67508409; 97337641]; [24675540; 51483787]; [12401323; 22011008]; [22236523; 5711062]; [7573741; 72223465]; [46225416; 85582136]; [62386842; 61366476]; [65433014; 29757592]; [39596766; 52529702]; [49193150; 29800048]; [10170488; 61745303]; [51559838; 53274751]; [51187815; 18830451]; [82262247; 58033459]; [62513706; 24178465]; [49001721; 22307166]; [42403725; 67498576]; [63632243; 84733235]; [28368389; 9098245]; [44517129; 32490791]; [44487025; 17471645]; [91011446; 11568463]; [16534648; 20693376]; [47023875; 20181923]; [81883514; 56720404]; [85799814; 21066337]; [21768607; 36453750]; [75364443; 30556303]; [12016490; 99776808]; [1908017; 29124853]; [96463679; 49045268]; [21137271; 21549258]; [76338931; 84054345]; [74611356; 57171873]; [88795607; 41970880]; [1306273; 58808272]; [5520766; 92754804]; [76883435; 28615211]; [8854897; 7576347]; [89747360; 19888523]; [92705737; 14873369]; [65154625; 69238683]; [83309223; 22827029]; [347542; 54833304]; [44321039; 3314949]; [46181571; 56464483]; [84518906; 41307009]; [69677840; 83710663]; [28770165; 47434389]; [60092461; 72739096]; [85068101; 92525282]; [11043700; 20431588]; [10387284; 89281012]; [38736530; 38811514]; [48212222; 17035687]; [73305418; 16885321]; [75622547; 76826589]; [47130515; 17974400]; [22859683; 33240755]; [25739142; 5851407]; [90594045; 32690502]; [71738581; 61343795]; [67778220; 98785829]; [89742461; 82236300]; [89855909; 73497041]; [39215443; 55038823]; [5983447; 25362556]; [92743039; 42177790]; [61661897; 86944628]; [85448153; 47864664]; [10613877; 22574570]; [78214035; 28952187]; [71015419; 88261617]; [11389727; 79139420]; [52150017; 8892148]; [70270251; 16915197]; [95772720; 58882411]; [19968204; 84487022]; [14711138; 24168151]; [71049752; 83736842]; [73503712; 42346215]; [34218413; 21740834]; [60652862; 8694108]; [400380; 9649046]; [4435131; 57408478]; [26669741; 10232926]; [28462200; 57332442]; [31027141; 28201301]; [18959415; 79549792]; [59004424; 62181943]; [30782769; 2172737]; [27418703; 9957028]; [79603839; 86843235]; [90922415; 77401132]; [81809022; 91435037]; [30559736; 13238919]; [2148076; 35054286]; [11966697; 5279180]; [65645022; 26106162]; [53266996; 4170382]; [74966226; 30456992]; [48992125; 27235597]; [91845265; 37701778]; [34830762; 68777899]; [44127674; 35888452]; [48633406; 80430439]; [55697948; 96855711]; [15557943; 18578754]; [17712196; 18936074]; [9914453; 52263067]; [6460125; 68553782]; [14503990; 79674414]; [70838308; 87075663]; [98275592; 6304244]; [72432334; 37657318]; [26705319; 99065028]; [46486783; 60512759]; [68200852; 91705783]; [33124816; 1396269]; [82775271; 13222233]; [76373874; 1987833]; [90314247; 52650366]; [27305238; 55201845]; [78532598; 56075578]; [38840141; 93767526]; [62210197; 86198804]; [9210505; 12975363]; [6218343; 41010002]; [15890983; 87860484]; [95212309; 78071318]; [13527036; 46290252]; [3779380; 87730888]; [81806307; 20256622]; [50312703; 26866665]; [75999333; 1460258]; [50254036; 59130556]; [81626095; 23391451]; [93825017; 62779873]; [70744282; 96172373]; [21386350; 89272128]; [38648444; 44886956]; [71877594; 14291016]; [67548485; 23111552]; [52542284; 32474896]; [29473025; 9398096]; [6224620; 29712890]; [26784776; 71619373]; [44576408; 52972272]; [42079796; 809561]; [73656077; 4597134]; [43961707; 1972665]; [37910131; 32397463]; [62044040; 92363083]; [22813474; 10787356]; [60549378; 86615296]; [61448667; 90877778]; [47247730; 65120856]; [71950243; 55297017]; [77621255; 84335822]; [29716366; 81876504]; [95816858; 80559393]; [14679132; 82775959]; [53202527; 99944793]; [54483126; 17152366]; [5040247; 33266408]; [48642738; 9193995]; [48326465; 6439162]; [66973220; 20110749]; [88656146; 97613960]; [84922204; 58351825]; [68847587; 90624454]; [25328410; 46331911]; [53203097; 84257342]; [74305682; 50611890]; [65450071; 58274456]; [29635332; 887108]; [97784906; 31496319]; [16189918; 7599516]; [49684163; 76808301]; [98542281; 44903694]; [94562162; 16748015]; [56435605; 84684959]; [41693738; 93514999]; [78453241; 37743517]; [8021068; 37473807]; [24992445; 96306546]; [60299787; 89329447]; [29359500; 45813730]; [90742359; 22820160]; [98840793; 25553135]; [60350310; 21446865]; [15586885; 3825484]; [5461533; 87781246]; [27856978; 39742449]; [73439840; 70326358]; [87763339; 89825604]; [75193739; 73642859]; [9664606; 61424330]; [44760947; 84689311]; [79075022; 20362483]; [33830673; 18606764]; [45251766; 53946739]; [17397924; 94014202]; [29154870; 109125]; [72826378; 50902734]; [56192604; 61716406]; [64547360; 10843104]; [13389503; 6066464]; [68489668; 36947728]; [7043927; 38816902]; [18050699; 30491658]; [21167133; 5202770]; [42455824; 16139688]; [25717838; 77570164]; [21200115; 2625519]; [48834020; 46651760]; [94086133; 5429850]; [41420033; 32418563]; [54259433; 98906815]; [83036496; 19740175]; [94611929; 2321673]; [92874380; 10881834]; [91891592; 33483880]; [28355480; 8353158]; [82097608; 4598148]; [46544541; 67173682]; [40082548; 15850722]; [21571447; 93514242]; [1525188; 4929308]; [25547913; 57415052]; [46149783; 21149320]; [31777808; 73929271]; [17067168; 95465771]; [22712129; 52872158]; [28062168; 80525543]; [82266066; 70317712]; [84242157; 43575873]; [35188268; 69025946]; [17096284; 49174887]; [68668779; 13093272]; [66295230; 23595531]; [66459228; 66807748]; [88384784; 38368146]; [27008993; 18411328]; [26459071; 29288467]; [36995419; 53332371]; [85581837; 58558432]; [38854215; 43912854]; [22500477; 6191879]; [19782585; 47252897]; [86213434; 44335673]; [33806973; 93323958]; [47629939; 78875442]; [41937949; 62209269]; [57779750; 94696608]; [23378903; 37493334]; [53713229; 52121623]; [55030978; 14107730]; [35261977; 27047844]; [28412457; 10988005]; [22787472; 60386441]; [56752385; 51672199]; [91891779; 90903465]; [83010769; 64833435]; [89131935; 7164749]; [55183243; 85075080]; [72050308; 79344905]; [83034217; 93402004]; [41559656; 49416158]; [11708983; 69990021]; [95036364; 84322442]; [71127041; 42912273]; [52210910; 41220074]; [83192637; 45235238]; [63044508; 62666146]; [25064145; 16359875]; [99783279; 42769114]; [91126973; 35613299]; [92598918; 52922087]; [5943515; 19010053]; [41855916; 23318046]; [43827205; 65515557]; [88529708; 9138590]; [28430245; 39626293]; [71630260; 71069225]; [57890850; 24701787]; [61222109; 83817008]; [27584509; 81080833]; [70367467; 58680579]; [81187831; 4625289]; [57917492; 38550779]; [31221706; 60775990]; [10267691; 53530850]; [26308662; 90788538]; [70100753; 50269574]; [52836006; 75158688]; [55765567; 87045988]; [78931853; 2642340]; [93538054; 84445623]; [10409766; 53206096]; [91756257; 61016652]; [54200861; 92633159]; [8484166; 65603381]; [78846572; 7276983]; [39460343; 93525]; [10814941; 61927745]; [5847880; 67134888]; [53691628; 26612453]; [25526053; 48344361]; [37138591; 12356522]; [52156512; 62811833]; [81553559; 1254465]; [33271415; 59106853]; [79660677; 39800937]; [57162668; 35198345]; [87153856; 36332946]; [82824448; 18049880]; [57680403; 89452034]; [26887819; 5670892]; [35146784; 17693499]; [66297728; 4855983]; [32543452; 20146807]; [71417210; 59969496]; [14113230; 35119738]; [23194674; 81431961]; [25388295; 96202736]; [65437990; 29145813]; [11022816; 91915518]; [52526607; 13748897]; [89687199; 62194779]; [41727615; 81726217]; [95284019; 48228252]; [23709112; 67947587]; [86998858; 63181695]; [93049648; 39296253]; [31329517; 85961529]; [25625136; 23904132]; [13968131; 40823902]; [90465530; 22691294]; [54899162; 57751658]; [8548991; 2775239]; [12510909; 48400813]; [47614828; 86990304]; [36619121; 98091015]; [36611221; 48166764]; [4095829; 54648342]; [34994522; 5920836]; [44128458; 87112298]; [90471537; 39468400]; [63003753; 35904541]; [25391627; 36341198]; [20467259; 54531233]; [77079222; 32443850]; [17602230; 12845121]; [42812121; 76874531]; [72311898; 9215507]; [51260807; 47801624]; [38271085; 55029647]; [32466132; 17872858]; [31171266; 44233055]; [7738340; 24616410]; [29523752; 84158921]; [35075745; 98349687]; [22215022; 54269036]; [40238007; 74675584]; [3224738; 62516656]; [37331043; 29260124]; [83228911; 95843574]; [54792917; 54756575]; [19663302; 92478372]; [52558609; 76444441]; [31447749; 44917412]; [75123566; 37343240]; [42776248; 37258733]; [23790313; 62584403]; [60361745; 82103066]; [12848263; 21888143]; [18951304; 76005445]; [77056461; 10261541]; [49139049; 16761693]; [98610883; 52440281]; [79613963; 6430304]; [9251177; 17107951]; [88296780; 83579380]; [55506449; 90699316]; [79776034; 51132006]; [42208793; 10330268]; [83569260; 95403040]; [16680969; 71528802]; [81722947; 95154298]; [65725757; 97309940]; [42733298; 31562031]; [16349140; 80265433]; [62904681; 49977468]; [61150728; 92585546]; [39350116; 27008545]; [68889504; 79736150]; [62984568; 76200598]; [81940582; 59842706]; [22363152; 27082692]; [89526085; 15490644]; [83339481; 95264040]; [17444953; 96367284]; [65649474; 29351477]; [94296824; 57931587]; [30705917; 38817678]; [29897754; 88077696]; [26072272; 7632440]; [28356106; 50734284]; [44921486; 66145656]; [65584169; 74129609]; [62663929; 37688121]; [54859119; 50503034]; [71576032; 9648166]; [9791827; 70802180]; [53477917; 52551480]; [21710251; 80086825]; [57419731; 9960319]; [29477501; 69351984]; [91805348; 2082142]; [25683434; 95693636]; [59815739; 44176478]; [26031717; 3674383]; [22303177; 82949703]; [47195525; 79984632]; [18386842; 70513317]; [7667954; 70352759]; [86922899; 84431503]; [57570893; 82369737]; [15184583; 15663691]; [12630505; 15436686]; [91106737; 66543106]; [17572264; 69597831]; [5895714; 25101603]; [76131784; 56690769]; [52730571; 16974727]; [42870014; 64023741]; [88711517; 79885526]; [16745153; 25259057]; [46001514; 67468035]; [79471431; 64114843]; [70681774; 19152592]; [93284327; 15112269]; [80334827; 63186682]; [9454610; 85805773]; [86059022; 93917223]; [52934003; 95372102]; [31567749; 410627]; [53841443; 32914659]; [84594690; 12913758]; [82768969; 91538145]; [10311473; 87639676]; [78228245; 55442754]; [58630814; 85390208]; [12163852; 50662544]; [25368781; 25683666]; [95105608; 92731828]; [2938336; 65873563]; [15765013; 17602414]; [53550708; 58994705]; [18226658; 80146174]; [83942781; 71744466]; [77758874; 76795384]; [25916668; 70649793]; [47248212; 23193392]; [94477721; 16601305]; [2850250; 40338172]; [31039785; 48271803]; [12874367; 48634670]; [24922830; 67455655]; [59208526; 68823220]; [91152680; 81663439]; [66339794; 64757952]; [44668205; 29265186]; [192430; 41680448]; [60995119; 64143256]; [74773263; 57696519]; [58398569; 35745942]; [53078487; 26742561]; [81845896; 25952036]; [29884754; 96287747]; [40658942; 45115358]; [43756015; 88496327]; [6064733; 90311856]; [8274709; 7856688]; [26493783; 15964376]; [77790382; 88404864]; [56126976; 8865702]; [18113242; 94249535]; [41077646; 43458318]; [87848670; 94200843]; [61886121; 3071862]; [7017330; 84061619]; [69986106; 6590333]; [70448712; 76100809]; [50276259; 79397868]; [4559720; 55360725]; [21306244; 73778575]; [69692967; 44106974]; [21719838; 4549480]; [35561679; 73843527]; [10578213; 15675864]; [82285796; 46531366]; [47553638; 52059225]; [96562245; 9091097]; [33575; 35004394]; [28828320; 54906062]; [83700905; 50346908]; [13778020; 49383429]; [39335725; 56096403]; [6365549; 52982819]; [37437342; 41176476]; [18172971; 97673899]; [62442119; 64540880]; [29776558; 31864165]; [13524842; 27268965]; [59356518; 35368595]; [61097196; 82709567]; [38888185; 90782480]; [39035565; 34706033]; [12930312; 57449718]; [55212751; 91302380]; [57332580; 86049504]; [50599063; 17228432]; [42699558; 86492772]; [36862245; 78304539]; [59469979; 6207087]; [4053270; 15655833]; [3054599; 65276109]; [22160941; 28178995]; [53627870; 13664673]; [27217812; 26158960]; [80578027; 27660294]; [3085467; 35154676]; [58210817; 50747509]; [52469234; 67239650]; [72730989; 45554231]; [73405048; 37305226]; [82375521; 96252675]; [66900569; 22354598]; [86935748; 6058590]; [13437099; 54609146]; [97161608; 24477011]; [14491990; 97708873]; [51536299; 37726613]; [13876994; 9503883]; [93584877; 58216390]; [82962198; 14997561]; [91355769; 78530006]; [28796267; 20817049]; [6586214; 12674371]; [29338683; 45489647]; [53587295; 36120713]; [58855600; 24956177]; [74960867; 89067907]; [33310549; 8581486]; [83584481; 50931181]; [55895779; 16134618]; [708314; 87204915]; [9489182; 74149841]; [53693279; 7129744]; [10188816; 45758919]; [26220325; 82453258]; [31097643; 82637786]; [3130465; 79570326]; [78956536; 12349034]; [25127996; 78151340]; [12817943; 79955646]; [72840476; 98372208]; [35644608; 6862921]; [88421151; 92589456]; [73776148; 55057520]; [14053639; 66092463]; [59497498; 12481651]; [26480079; 28850689]; [80415339; 42706072]; [27039110; 75963725]; [46671281; 14373015]; [56813749; 17652772]; [86963317; 63108131]; [70640164; 72929780]; [42337451; 27807]; [86465575; 91349533]; [38485524; 85784413]; [84289710; 8437523]; [87385893; 32046604]; [64014678; 24589782]; [6824571; 46482835]; [71951068; 78451880]; [70174319; 65748059]; [54082344; 87694066]; [90845746; 16390732]; [14486951; 81899669]; [32295807; 18839691]; [78841536; 32078972]; [50462346; 37242425]; [21637898; 60081334]; [96172824; 41559970]; [85571374; 12759435]; [30643479; 44356258]; [118210; 47576561]; [53061825; 12319005]; [15641101; 39700275]; [46700912; 60258501]; [7350347; 57591502]; [14580516; 68734763]; [68629271; 27272916]; [96427550; 41561752]; [89493772; 29392793]; [40579062; 96940291]; [38442888; 15075566]; [65781017; 87067178]; [33963465; 46255951]; [40793974; 16801634]; [49824342; 36896385]; [10804629; 80477665]; [28089927; 97649736]; [11959166; 68302100]; [62891879; 19278452]; [16757245; 30464510]; [99524072; 44832336]; [23568404; 82508504]; [97850527; 89073277]; [34588594; 97333622]; [54002180; 19261275]; [45609001; 2935829]; [39462226; 58140010]; [36375054; 44622560]; [2049167; 57255172]; [58618353; 1380905]; [60724479; 14067017]; [67365086; 89067436]; [29504041; 6051751]; [67505273; 15024008]; [33556115; 84387488]; [30172478; 39428013]; [76655756; 46203259]; [4876695; 91708335]; [39910700; 15161346]; [82789806; 68130565]; [47324190; 82816360]; [75064190; 75662241]; [99467753; 912159]; [95639082; 56493121]; [39915384; 33275344]; [75776847; 25817388]; [5552098; 25045847]; [25474751; 37953223]; [51242383; 11412614]; [33120805; 18976039]; [79394007; 85006297]; [26947131; 30582731]; [66442880; 41519397]; [48472801; 56381037]; [55101940; 13414009]; [12471357; 51045183]; [609800; 39420661]; [60489830; 43924506]; [52038275; 41974864]; [23322576; 68468528]; [75039180; 79189496]; [29086189; 51023905]; [31620835; 13383858]; [57776544; 71394547]; [65375390; 53557454]; [82788627; 86110809]; [22635126; 18095062]; [15827811; 68171653]; [87647797; 49739770]; [81234411; 71849909]; [71690482; 82271118]; [49534036; 30610409]; [53416698; 32096828]; [46193117; 78272299]; [83429826; 8323941]; [88036229; 13558099]; [86543132; 74842543]; [2975135; 40742184]; [71295628; 1175350]; [14267580; 24823341]; [94143446; 38515928]; [57200639; 90741918]; [22666967; 21823289]; [95162349; 62040543]; [33307135; 85922528]; [68882867; 85666765]; [91119689; 8632716]; [13562407; 14796471]; [75029155; 94210706]; [14650826; 28814000]; [19479329; 19346611]; [23512953; 59374291]; [95646145; 30908561]; [63798460; 47549380]; [64372994; 31159863]; [15951723; 23450268]; [17123862; 31246597]; [61009841; 8397819]; [92634895; 67757578]; [38208056; 33807478]; [8067274; 61844210]; [70179593; 48496565]; [28364172; 1031480]; [61655980; 31973234]; [14318303; 5877413]; [48728922; 95815172]; [42150388; 22130356]; [31961946; 28840101]; [49970339; 78588305]; [37555111; 81560819]; [11426349; 65228939]; [87130687; 89614266]; [65448281; 75676466]; [8374096; 25141879]; [49051220; 26312999]; [5709390; 41165476]; [41208382; 10661014]; [29897791; 80643345]; [23678574; 64814291]; [37222256; 65447966]; [47404114; 22635748]; [5677309; 99356606]; [79773637; 10240789]; [56377486; 6109470]; [89922390; 11767933]; [59718746; 95546316]; [19574661; 24133934]; [10627262; 69536742]; [10486176; 92441563]; [16379872; 86744112]; [28873984; 32252602]; [1162735; 14576626]; [74231479; 13825662]; [28874312; 98929010]; [78682865; 3954982]; [7708436; 69945523]; [85099437; 51174072]; [27872117; 92376056]; [73443556; 27393304]; [77966706; 44165957]; [76848175; 55519366]; [48071982; 28190149]; [16271275; 85715921]; [19614939; 80736194]; [49506247; 18807704]; [52166818; 95864274]; [14500846; 84011770]; [86428312; 28856665]; [2150743; 71415190]; [19031858; 2170415]; [92465908; 52288986]; [45776422; 3502985]; [51742790; 72721542]; [87090308; 85912647]; [66732124; 33540900]; [61102155; 84092046]; [39838682; 19146078]; [54272310; 20399058]; [79424487; 69320090]; [10488806; 39059606]; [28465323; 23041938]; [31248882; 31776496]; [18827497; 68209085]; [80149109; 99893558]; [93745291; 11775525]; [10209132; 76941275]; [70969531; 48646958]; [62596649; 20016131]; [29027981; 38612181]; [13405580; 60718852]; [32393920; 28022578]; [17246658; 40483069]; [1197795; 28595491]; [20107122; 47257379]; [68091165; 9293155]; [61034057; 50519279]; [75314114; 21403202]; [52724216; 66716257]; [71643863; 81203227]; [92961532; 90780365]; [65647363; 28541375]; [97425346; 52159314]; [32675180; 70106667]; [23060535; 52670110]; [85162713; 9866548]; [35803784; 4021002]; [59820314; 38490674]; [24507265; 31414706]; [28795704; 74129221]; [56460870; 27986357]; [72586856; 53725146]; [54505651; 13772432]; [35306632; 14002491]; [18529088; 64281625]; [67707400; 14465167]; [66385190; 64672057]; [33265316; 42573751]; [73686895; 77593271]; [71307571; 53749175]; [6284750; 81656354]; [39300084; 85802884]; [8651016; 59903575]; [85539863; 88215333]; [72891427; 97587339]; [1167682; 80211316]; [10137903; 71389624]; [41969067; 45679924]; [49118772; 21772146]; [83911818; 5875368]; [3702304; 59261586]; [98360206; 28271132]; [18948533; 5887953]; [66764638; 8342762]; [67724924; 41232354]; [28972502; 82065516]; [42966590; 62481792]; [35537282; 78952965]; [46401801; 39693786]; [98576753; 25217394]; [66759342; 66175619]; [26313677; 13288947]; [44854673; 68991379]; [65518577; 64164976]; [3859414; 95579421]; [66215689; 8370969]; [74487958; 65112095]; [4583796; 33910507]; [45524108; 19651020]; [11469756; 79726457]; [88093627; 47351138]; [55653586; 9752506]; [56412055; 94880134]; [46469472; 64472527]; [12697122; 73131640]; [18184598; 29432066]; [73529523; 12191233]; [62739722; 13222227]; [2755564; 98797551]; [46253711; 82954602]; [90362234; 6232489]; [18234670; 44418024]; [45329524; 53773369]; [16923839; 57243816]; [35282649; 88446772]; [72659382; 22863815]; [44046804; 39660847]; [61313880; 95635643]; [88051274; 20279634]; [51586525; 84057773]; [65848709; 29488721]; [50875797; 28458086]; [98713748; 64001881]; [51693608; 82689569]; [15094877; 80080187]; [70737224; 37555730]; [20093126; 95717644]; [72596778; 81656723]; [60169812; 42083004]; [76229306; 16668466]; [16674451; 94081676]; [9659014; 60505232]; [36752588; 35034655]; [9646878; 24226601]; [1490995; 86954277]; [3510835; 839100]; [21801292; 76137124]; [85474477; 747533]; [61448045; 66386173]; [63643752; 16110637]; [79893597; 90524448]; [72489551; 36831241]; [83491658; 80642274]; [26974188; 69795982]; [95142238; 66191280]; [47765977; 41532629]; [21148353; 49964199]; [1413405; 61667898]; [60832993; 12896632]; [45470992; 98395015]; [93676716; 68985806]; [32628809; 90307516]; [31842010; 86203824]; [66508868; 45381468]; [48682281; 54622925]; [26263599; 20276027]; [85712648; 61673562]; [52527387; 89675727]; [17747118; 49272086]; [18472950; 34675043]; [7265827; 32147032]; [60685933; 91450010]; [19935317; 13017743]; [80967082; 10036712]; [76672674; 10126925]; [21471074; 93371122]; [34269897; 10426529]; [67748956; 85504054]; [55815898; 22695219]; [28267780; 17461268]; [98392433; 99458198]; [40074826; 27074625]; [31726619; 27431606]; [61606240; 4036755]; [10909765; 39514487]; [78243127; 94952612]; [2813352; 52184697]; [65891294; 47435971]; [1414647; 4544463]; [90034066; 39028209]; [59936603; 31437151]; [55952990; 80879297]; [31067688; 45232603]; [63682234; 68629168]; [31898532; 20004022]; [14587453; 42016373]; [7153484; 56559101]; [9137244; 44144993]; [39678043; 14185456]; [32035898; 81976841]; [30378188; 82358178]; [89967870; 96208586]; [97808045; 54595214]; [85951663; 99308137]; [16769099; 66965614]; [38900369; 2518507]; [31913706; 53574086]; [53127972; 3934726]; [17338246; 2783575]; [51556830; 8885180]; [89498261; 65375392]; [90067524; 33760938]; [43828831; 89959196]; [97954110; 15026270]; [8341635; 45790211]; [15613030; 70905726]; [60035930; 30464429]; [5855759; 73654892]; [29025376; 41178924]; [9662296; 94826486]; [62825958; 21858455]; [81471662; 26572769]; [65723731; 95774851]; [10182049; 71019509]; [40312856; 80487693]; [81279210; 57139946]; [35677648; 13679318]; [87784982; 27823324]; [25899017; 86967664]; [33158321; 27227027]; [54167182; 37417029]; [48406187; 24042767]; [15568636; 53326794]; [18671718; 41911824]; [1145645; 90780199]; [57289453; 39593061]; [30891557; 29525540]; [89774263; 82448981]; [87305865; 73929056]; [61486297; 74090411]; [4084566; 80527044]; [36582426; 86502791]; [83582878; 55295180]; [426959; 44560442]; [43872619; 93704470]; [91179940; 32286383]; [92916247; 63981107]; [61824123; 35409948]; [69752910; 27346289]; [18612208; 8141159]; [22511743; 72308150]; [74948577; 7188402]; [48912783; 96901929]; [63426379; 78164654]; [9860249; 83070688]; [53571171; 54107058]; [71210169; 10954924]; [73249725; 55926672]; [7941182; 64727110]; [21188635; 43681118]; [2666978; 16156026]; [70599710; 45312768]; [59203813; 62303067]; [36138105; 52673350]; [77986784; 1598505]; [38328608; 40869238]; [16916269; 74155067]; [87875691; 17166114]; [63115152; 39006698]; [33827465; 29565849]; [17381126; 57472942]; [36924158; 15321228]; [40581161; 62068654]; [79295732; 83658820]; [37422932; 70406290]; [23898259; 7526027]; [8165349; 72643076]; [99793473; 70484488]; [79475548; 48035889]; [96972722; 16234005]; [33174365; 16813910]; [76158176; 22103549]; [29749095; 10831174]; [10702415; 11761360]; [30868922; 93634610]; [35943182; 38963659]; [43171528; 8516649]; [84471563; 56353768]; [25698936; 78338014]; [24842289; 67531984]; [44810843; 58303940]; [67491984; 82904342]; [89172213; 22393050]; [43685689; 44137374]; [23115833; 24455197]; [38199342; 49595838]; [57289119; 52314090]; [24491814; 89328457]; [74046054; 16367465]; [34197796; 19101656]; [58187793; 79038302]; [54835480; 16901716]; [6807586; 60709127]; [95695237; 79011637]; [91409702; 30877841]; [69791566; 49717760]; [39225975; 43319217]; [20962650; 68535461]; [30478891; 94247732]; [39845566; 14819994]; [10543352; 71755216]; [29337359; 85037169]; [14009968; 47368999]; [6775822; 70520956]; [75991382; 50989430]; [95223870; 97007978]; [15249250; 21191974]; [8883576; 41435580]; [27183567; 85972684]; [81325413; 45539191]; [19056976; 12428936]; [18318181; 82811723]; [4874228; 99383933]; [40547996; 85388299]; [8645401; 90121422]; [42273791; 73760827]; [45614259; 87690658]; [46032446; 16338049]; [62733127; 77609022]; [56500204; 14615207]; [13379174; 35200827]; [23317394; 51396055]; [31885308; 51553107]; [37489355; 90786046]; [74094490; 14053828]; [55108804; 91372833]; [50941131; 27119518]; [51240598; 11434580]; [43838240; 21481308]; [98318773; 1501718]; [32451488; 11495405]; [36400149; 42366287]; [21161670; 44170009]; [21333936; 69859667]; [49407127; 79851554]; [44434737; 45122370]; [31877708; 52414565]; [40230316; 5789986]; [23361634; 15480432]; [38904591; 887872]; [418194; 64920595]; [61552211; 36765437]; [53892370; 36098440]; [2984064; 17332958]; [62494141; 60316723]; [27599312; 3774542]; [52485219; 20313486]; [80627976; 29391186]; [78359743; 43484464]; [6072279; 97092564]; [57997619; 58505285]; [57707575; 29270764]; [73818233; 53488034]; [80183773; 55205545]; [90854; 55793852]; [1175441; 65970886]; [85993123; 2473966]; [98652249; 79934555]; [50927918; 72364222]; [35435001; 81342220]; [39614208; 54771865]; [42657145; 81660275]; [70323925; 35695954]; [41855982; 63408442]; [86561835; 23796317]; [52276147; 47458647]; [844417; 8588834]; [51797732; 28272559]; [30970523; 98318747]; [24848169; 50754050]; [13941523; 19662699]; [90334397; 38496481]; [99561419; 63916067]; [83885248; 62388649]; [19429814; 13529282]; [49121474; 6226048]; [69987568; 22114136]; [14012280; 80263145]; [77183596; 53719143]; [40354497; 54024638]; [49870590; 48491519]; [68975860; 53146820]; [40931929; 52833829]; [3875216; 74849796]; [63885709; 29580340]; [74170666; 70633876]; [70785430; 85205458]; [26218868; 56499248]; [58187161; 23414786]; [53375193; 63145196]; [10907601; 42444516]; [86767757; 38581039]; [65541543; 29121142]; [22007206; 44569914]; [87208980; 57617529]; [40039086; 47806262]; [85067253; 26134442]; [69276433; 30037728]; [87948535; 4313872]; [16265590; 97277622]; [10418041; 85714845]; [24737272; 46589146]; [78758518; 91849223]; [10539541; 14162168]; [32812637; 24124544]; [62491726; 19359816]; [31667765; 72606938]; [39518982; 41859390]; [44105888; 3481733]; [2838863; 65306686]; [43227758; 7534306]; [14403533; 37385877]; [38922699; 42588259]; [90007473; 22067996]; [92262838; 87837404]; [40324921; 29667085]; [67945055; 5566688]; [84989239; 78802917]; [78212086; 76772555]; [15745637; 14654660]; [44020008; 5426459]; [92769137; 88638788]; [3128100; 42920597]; [25553459; 32974679]; [75760060; 82188112]; [53525629; 98869926]; [69089789; 69821617]; [88570852; 95588923]; [32432344; 20429500]; [58259975; 98388451]; [16616239; 63919380]; [67150796; 83253626]; [6042108; 71416087]; [24685120; 22379613]; [35981914; 54267795]; [79571503; 92927114]; [97575625; 76415883]; [27876726; 15731106]; [77384727; 94612150]; [28796785; 49463642]; [73460530; 10451798]; [44303681; 49774819]; [25706200; 14528100]; [64099936; 94367530]; [2883069; 15118107]; [94160589; 4891459]; [54054566; 72355633]; [4997645; 42438778]; [11221382; 509961]; [41284541; 98859655]; [14176523; 67710383]; [62198287; 13705861]; [4746882; 1965036]; [2145548; 95936853]; [14184476; 54102303]; [90842105; 40561305]; [85359245; 30426288]; [28927481; 31742900]; [27976532; 33035046]; [8214979; 37362814]; [49579015; 82668279]; [17643773; 86670509]; [77978712; 24145455]; [75559704; 9498193]; [54194314; 72399518]; [62929266; 39792840]; [81213559; 17418028]; [28064825; 6494037]; [92781648; 10975156]; [39748948; 48942205]; [25637028; 76423013]; [93160953; 17788759]; [27923851; 43019348]; [62502060; 61811242]; [37367242; 63521169]; [75212641; 30197622]; [73120814; 70901315]; [21284460; 59027769]; [82938896; 98296507]; [56556480; 87022044]; [83969566; 30425146]; [5749095; 18808491]; [97723249; 31178257]; [79004284; 35931696]; [16893601; 5852886]; [16903499; 66132875]; [62387143; 56637888]; [3702657; 39805942]; [95441914; 54301834]; [56664561; 30953002]; [47301021; 8875862]; [37609958; 30667795]; [97301042; 66590328]; [26821986; 12782923]; [36961977; 53472807]; [19330151; 95573013]; [99354747; 81764698]; [66659398; 43620074]; [28627469; 45356689]; [51985701; 66477147]; [64148500; 91985836]; [39312554; 19858658]; [26026171; 26971915]; [82765603; 58238291]; [86632124; 38611308]; [35207999; 86907116]; [57431807; 54411453]; [98832100; 46631348]; [97918273; 41661516]; [76531725; 19943667]; [63437132; 74610940]; [58279593; 3643036]; [79080814; 54218600]; [44836840; 92986435]; [90791285; 87806673]; [96284697; 87818078]; [6216641; 13544333]; [10083978; 88593118]; [49426645; 32513718]; [95341311; 62276138]; [6450007; 87368833]; [15963676; 76891336]; [70740950; 57731442]; [68152968; 68013381]; [14643070; 58586719]; [82671348; 9729859]; [56269583; 77741898]; [18653824; 34634700]; [32630645; 117589]; [32665285; 67751007]; [29798548; 14524633]; [79828912; 51056910]; [38065872; 52865937]; [58374043; 62577416]; [567995; 7640323]; [62848117; 13621462]; [93594696; 78580994]; [73168678; 42579629]; [34307703; 14881639]; [44664222; 74959908]; [4217648; 69115255]; [50830213; 46840572]; [2543360; 30323433]; [8037361; 7540839]; [25189460; 25222178]; [39969319; 1244255]; [7404737; 90255458]; [44314399; 18767377]; [27186971; 55636171]; [83610776; 6055446]; [18868741; 65553894]; [51072468; 69912229]; [53003273; 77583019]; [71272222; 20246008]; [70905038; 90384332]; [99687478; 29594809]; [18951821; 74281173]; [18349741; 48357057]; [91941043; 42937087]; [60035644; 91289934]; [48995947; 95214619]; [16325446; 25260767]; [12055584; 13960156]; [7414631; 48415312]; [35320506; 52766980]; [82090297; 4803690]; [22404731; 2734716]; [95832041; 35198043]; [81578555; 35580557]; [69752548; 8481959]; [12582771; 33756719]; [17173799; 1324284]; [76218064; 83509141]; [64582644; 5292129]; [4563863; 64568496]; [99367627; 63471713]; [11129632; 36283668]; [15441033; 59597985]; [77527376; 23678941]; [95345987; 29428322]; [63934671; 12460892]; [84876465; 23483103]; [59385089; 92822744]; [51552431; 29987572]; [72158533; 96750122]; [77299430; 35589262]; [22000399; 76497101]; [75672116; 88275935]; [30644735; 5358748]; [5414361; 66188656]; [53232640; 30086364]; [13434157; 60633091]; [98705274; 81456340]; [76615472; 56334916]; [8179201; 20286028]; [76782339; 6147742]; [45796033; 50080252]; [30771774; 83814427]; [86775976; 32486309]; [92456093; 97231151]; [81945763; 43412637]; [74099423; 40849181]; [16084699; 39219629]; [46307262; 42932211]; [41569146; 29297839]; [67797216; 82380518]; [51810747; 82645822]; [93885181; 17461542]; [91051991; 30502051]; [4869098; 56137260]; [74473733; 27074808]; [20362846; 39958589]; [79523161; 22084636]; [593843; 79398585]; [56274187; 837473]; [19424242; 23574075]; [12385119; 12725717]; [21656643; 22004530]; [49467997; 35556266]; [69363368; 90044865]; [47614663; 42502156]; [68240606; 71297860]; [85609411; 89567487]; [34270228; 30926013]; [28176598; 36706452]; [27249450; 24190343]; [95481418; 10427842]; [3268563; 78416144]; [98997925; 99173647]; [50201592; 86801026]; [42627391; 14636491]; [24272660; 97241529]; [65460218; 13691498]; [9616235; 34865149]; [77331864; 48644410]; [4231296; 69457023]; [21019412; 97579786]; [1292370; 94948081]; [91932334; 52726609]; [64012874; 6475021]; [80967753; 73647136]; [62165448; 4035245]; [48764596; 62348538]; [16479841; 17971790]; [62484080; 90044890]; [62951895; 39557804]; [44631619; 73584371]; [7388359; 57225341]; [72074998; 79055231]; [31557042; 42164903]; [18970358; 17108332]; [21315529; 41161640]; [61896580; 58658210]; [51780257; 87960510]; [85160015; 84549751]; [53031832; 1775795]; [50863312; 78689435]; [94513547; 62836432]; [16292042; 14071322]; [45044433; 84885328]; [95573668; 75214524]; [67985310; 21647747]; [46944985; 81483814]; [11823247; 71318389]; [96053734; 42291130]; [78283145; 51787507]; [28243527; 15846585]; [72312902; 35361899]; [90074153; 24665766]; [19041365; 65279865]; [81420541; 99810632]; [49529050; 83855688]; [47660286; 90491071]; [81663323; 50071847]; [45627084; 62377002]; [62631357; 53952611]; [29164451; 23915873]; [21410022; 27682062]; [94045684; 23906402]; [7134454; 61497915]; [28185310; 54862778]; [63783867; 42293863]; [71191866; 53976996]; [40589861; 65643200]; [24230625; 20758230]; [99206217; 61931055]; [62459952; 61079358]; [20793410; 74266692]; [47465909; 375481]; [27437080; 28293938]; [59529863; 17386364]; [67732070; 38208622]; [43656614; 81415316]; [14198805; 6395708]; [99634468; 93245554]; [80402886; 20186822]; [34313067; 1531076]; [96319193; 22380260]; [62560871; 44286561]; [56482772; 76211734]; [91933334; 71781523]; [16921010; 28499646]; [69017958; 71794286]; [19651271; 62258299]; [17504277; 22196131]; [7177788; 61175122]; [17870238; 52083487]; [71537579; 23324286]; [65927392; 4764495]; [49037101; 66919067]; [28088884; 28242655]; [44745446; 41627796]; [64401658; 1168994]; [61433358; 67173517]; [90615737; 90448440]; [81927900; 59613330]; [38258967; 55786463]; [3252532; 68404454]; [74358814; 95491788]; [41846586; 93034031]; [66244308; 54459806]; [48535632; 96359127]; [753289; 22318095]; [34242489; 15317911]; [98386762; 81060542]; [71195430; 46210150]; [46234823; 89770534]; [19279040; 72942510]; [43751207; 37454126]; [89333078; 42907590]; [53861422; 51961623]; [49516464; 82418817]; [16657612; 18686281]; [22015719; 54312526]; [97377905; 35239861]; [83249871; 59612018]; [29496925; 1116866]; [89286139; 37536498]; [73859859; 94189857]; [42707096; 86163070]; [15787164; 29029194]; [99330598; 33983029]; [87741323; 27849141]; [764163; 40837295]; [56730046; 161811]; [61728685; 9893122]; [79808304; 76725892]; [81024477; 11568227]; [87860159; 96999971]; [96344967; 23824341]; [91693423; 99497862]; [96706606; 96118264]; [60967464; 42518398]; [26517676; 65836270]; [57667966; 73006524]; [13521946; 11730568]; [47265655; 99058241]; [63121087; 18147617]; [41730807; 94491021]; [20323474; 92541761]; [80044612; 5470331]; [51961199; 34472709]; [80624379; 35863170]; [51498858; 75995207]; [45479134; 12328746]; [12757196; 93975995]; [26182741; 42758064]; [58746142; 84020737]; [15742215; 31912782]; [51310846; 5260049]; [7597949; 88914257]; [14776281; 84807343]; [56865287; 32013038]; [13018556; 93071382]; [40222494; 26879988]; [34147560; 85147355]; [87605738; 98935402]; [14981673; 71328806]; [25790168; 59832672]; [60196551; 76627352]; [33535463; 79410010]; [71695223; 86827126]; [1522145; 76065591]; [21981293; 24944409]; [62544255; 18810990]; [50213492; 16899194]; [15796212; 90085534]; [10083805; 48046565]; [90309569; 73701607]; [29976293; 19371795]; [18644228; 91768253]; [48276008; 29471710]; [25141780; 43241488]; [35447691; 60611203]; [78713365; 18931430]; [13986180; 60331686]; [95920009; 41868537]; [1118535; 70626536]; [85583712; 74164116]; [79433397; 72356320]; [83788413; 9957438]; [76058435; 72665395]; [96513196; 9796919]; [65456147; 33581433]; [50033623; 87074317]; [37571633; 83030891]; [36819641; 3837974]; [75559328; 55190883]; [43188361; 68064180]; [14056537; 61635004]; [76369840; 61952387]; [72311269; 26080941]; [54478116; 74686269]; [12805836; 25380555]; [12680237; 16127214]; [93972290; 2551071]; [48557868; 86911861]; [76704653; 32575231]; [85872070; 49445150]; [13750092; 74155079]; [56828050; 79666148]; [38596591; 15164678]; [34750227; 43121732]; [58844634; 23269550]; [50706743; 56387904]; [5964876; 42448041]; [13616278; 50446129]; [65769085; 95458126]; [73314733; 50406908]; [54823845; 68544558]; [39149961; 48680262]; [27881045; 87201161]; [15430388; 8806388]; [22292235; 32392982]; [92199417; 60331279]; [21000989; 986055]; [42954892; 15231240]; [29851183; 6587456]; [19679045; 7381941]; [96124729; 82016071]; [10746383; 74525516]; [60946665; 20532930]; [31973347; 3839741]; [95244804; 88427091]; [92856923; 68358804]; [13246511; 37364948]; [24639332; 65597710]; [97277445; 88640403]; [46891199; 77819304]; [94897942; 68010807]; [78606666; 53966481]; [10289050; 2585220]; [26300529; 45232432]; [51198238; 66809187]; [21215639; 91154067]; [26242058; 74651885]; [17721796; 31432124]; [55289410; 27846852]; [79379025; 88025449]; [65441586; 55035332]; [60096829; 5547853]; [87742799; 14461784]; [84407918; 70081800]; [97346037; 88150252]; [14287449; 30498656]; [8548841; 9387488]; [49508577; 76647294]; [20933213; 28248421]; [78974741; 86234680]; [79159620; 36535267]; [6537823; 1266116]; [5807024; 82828339]; [28034005; 5091324]; [49686667; 64189998]; [28532441; 32474635]; [66477166; 31839575]; [99315656; 30379542]; [8943977; 9496609]; [65208896; 17088303]; [23966542; 70539623]; [76888749; 54734099]; [695798; 46802604]; [50509151; 42791279]; [4148542; 54884098]; [58984297; 32066059]; [53165906; 27732806]; [52735465; 73434639]; [7793112; 85560912]; [15708122; 5756716]; [82944934; 17338833]; [40939652; 29898647]; [29458867; 97146541]; [97812380; 32448058]; [23792113; 61305965]; [20888925; 51322862]; [21672329; 80115913]; [71104542; 76999721]; [76871080; 94691932]; [19945221; 40213001]; [81325904; 45321748]; [51515068; 20184249]; [4697172; 57890438]; [68664970; 12372972]; [42322865; 67701089]; [2070230; 12938251]; [36360253; 19255538]; [15730773; 43057174]; [65168318; 85708396]; [22096197; 52725843]; [965337; 8116173]; [41022700; 49139248]; [73453331; 38162366]; [63654125; 37702610]; [10720767; 6356236]; [66004479; 45873788]; [24879732; 67504280]; [30881913; 38051984]; [68997880; 6530977]; [10536517; 84709352]; [92420860; 22513531]; [77468052; 4545717]; [66943433; 48828794]; [31366908; 99258423]; [41817685; 36966259]; [67592243; 12028227]; [37253192; 29602695]; [67549441; 51306236]; [28390207; 40236902]; [37061273; 28341345]; [55867142; 86404614]; [50594992; 95451152]; [96471196; 25739597]; [6254626; 87657164]; [2492256; 15148918]; [79754185; 83813199]; [90504319; 21451832]; [36945887; 5048425]; [89186907; 6262994]; [98046238; 13440249]; [81221269; 73343873]; [53938046; 42550203]; [64563267; 32065873]; [16736531; 45388731]; [55834928; 20787975]; [4435964; 74477703]; [88724641; 48589300]; [4263947; 19980344]; [59739949; 46108135]; [82465720; 27102588]; [97111809; 46330746]; [80476972; 39187129]; [87294135; 15605361]; [80284760; 30447969]; [56454729; 99996494]; [56185415; 43332165]; [57125808; 13710327]; [45850836; 4396032]; [49995288; 25679992]; [74767881; 86553592]; [73246360; 74251033]; [16234805; 97314136]; [97834687; 62797655]; [72047410; 68779686]; [89866160; 59487053]; [2350777; 95132663]; [71229488; 14072622]; [32032298; 68525113]; [74683539; 35855505]; [43104293; 45667499]; [61888357; 28987086]; [81255580; 75278002]; [40354123; 73741570]; [53784682; 19067480]; [44853957; 9053674]; [73293520; 49530164]; [69617823; 16181511]; [82885293; 16183525]; [71411758; 64942003]; [96837496; 75902298]; [44850809; 71664650]; [75616306; 84824903]; [6281286; 50670407]; [7841838; 63271729]; [3546884; 78456155]; [41853869; 9859744]; [18100778; 9147871]; [86869671; 35983405]; [48307092; 77537026]; [69229703; 54702147]; [32166326; 78590677]; [63353527; 37647618]; [2785959; 6054392]; [16841204; 86143174]; [27884988; 41930742]; [91592814; 84105435]; [22780523; 21034803]; [20648977; 56806980]; [49988069; 39212223]; [44615097; 19864691]; [51156702; 72799685]; [65244874; 30250672]; [8201355; 5714370]; [86631080; 8298586]; [13379575; 73681392]; [89549593; 99614678]; [89304813; 97728608]; [6360431; 53385673]; [24839145; 75127920]; [75125002; 34774546]; [37690615; 94033407]; [74376655; 77505715]; [72188556; 67953521]; [77717041; 78911028]; [84991624; 79442674]; [55053051; 22474095]; [6790126; 42269268]; [21170573; 80127276]; [58197418; 4049540]; [39718322; 6812509]; [3535894; 61484381]; [51495972; 47813807]; [46505318; 36666469]; [31888411; 59082355]; [22683561; 75270678]; [89946664; 51135052]; [78973467; 30755094]; [9367354; 46626778]; [73027719; 14047363]; [64269839; 92042774]; [9166568; 89671340]; [54169658; 53489958]; [9693770; 32492877]; [79992142; 38171743]; [60586490; 1633772]; [96485827; 30235228]; [73576899; 29630391]; [85976834; 68087411]; [67746684; 27093204]; [2382548; 65157289]; [77681237; 92921902]; [73652976; 5888911]; [10416903; 95942059]; [28034306; 44896398]; [91637384; 92277137]; [41543502; 69585390]; [77528834; 5175395]; [5754803; 90010725]; [30658679; 15285275]; [12074955; 48883090]; [19308407; 95501855]; [34498796; 84994414]; [10175350; 66264613]; [66528408; 89762269]; [28507450; 5085412]; [63966937; 88827060]; [32559134; 25208357]; [25147820; 31349417]; [81314222; 88269887]; [66432888; 91927126]; [14724058; 45319977]; [66862998; 21298632]; [41522439; 8639409]; [68189669; 3934705]; [30149109; 92520212]; [39597824; 69289420]; [86860435; 6785977]; [89381204; 137627]; [57428414; 76955644]; [85740566; 93388889]; [48681590; 72151291]; [3460708; 66099976]; [38132589; 93097019]; [54435859; 56954939]; [43056029; 21793435]; [27400103; 71687029]; [28329304; 33225897]; [91951384; 67644557]; [47875124; 36131893]; [7803370; 11036106]; [4416635; 43491079]; [5506317; 80060078]; [57537415; 91589106]; [59692688; 60077658]; [62909768; 82139412]; [80393488; 12887216]; [51897416; 41820]; [15718147; 65718370]; [49477910; 1962720]; [71197413; 63031943]; [83769107; 93475923]; [60790560; 52069841]; [83605860; 11551870]; [46540118; 19478601]; [15295723; 52668344]; [40702566; 73618763]; [50265455; 36370160]; [32427350; 72738731]; [32911857; 23838202]; [94292793; 22298424]; [50791955; 80104348]; [95871770; 81839942]; [2123167; 67276100]; [80980298; 51017727]; [38656337; 39684721]; [44595265; 92000786]; [1786969; 81415641]; [15540643; 67053777]; [68668802; 24527988]; [63860945; 56031964]; [4535410; 14303114]; [31347287; 92961572]; [45740331; 65583448]; [70370088; 17401011]; [61388166; 97056444]; [92331539; 25590052]; [72730605; 75714216]; [40489875; 27223151]; [88765487; 37834282]; [71547937; 58855880]; [42770308; 17560847]; [62523832; 7011341]; [14106601; 64300786]; [57162888; 4322081]; [47958514; 43785121]; [15640904; 3099712]; [50482184; 77236170]; [54422659; 98260572]; [94792368; 41896229]; [83860420; 44745000]; [89452509; 96856841]; [68612874; 59409146]; [4149558; 11310006]; [38270687; 12990966]; [57982838; 97848663]; [29457543; 10134994]; [56328785; 73040101]; [63345222; 42167473]; [40140173; 77156104]; [47595561; 51063050]; [65875681; 10089580]; [71321982; 21228332]; [1727986; 10046965]; [93782214; 12982791]; [85285194; 69499091]; [50811028; 12245276]; [41566824; 47215079]; [80308976; 28831393]; [63559941; 9313319]; [15711694; 70062162]; [96723435; 84063461]; [22468514; 68198657]; [31928485; 77030563]; [94451896; 26471824]; [17042630; 20185681]; [23344340; 62711553]; [97802960; 68418760]; [91057350; 85480167]; [55959306; 44904226]; [60856594; 43165111]; [93278934; 82716870]; [70554312; 92065740]; [95578502; 25195583]; [22003436; 80205068]; [86940305; 78047684]; [82306021; 81428813]; [32312219; 20456530]; [87182296; 3488935]; [79997132; 47746453]; [8626205; 33882613]; [48150855; 74164576]; [23801460; 58072708]; [45242003; 87863405]; [77821962; 75395370]; [90785397; 27425661]; [83702560; 2900892]; [95750129; 11310287]; [27149150; 32523403]; [22184861; 86225969]; [99684354; 84759310]; [92797256; 83666674]; [60705235; 37227290]; [13664685; 6101149]; [99045990; 14367739]; [21676839; 13027406]; [42992348; 55338484]; [78177434; 38457938]; [23259487; 17199162]; [18970381; 95797452]; [84263079; 68573777]; [55258328; 20860596]; [70313005; 78049928]; [98427755; 25787437]; [92303921; 92092460]; [30157733; 24693787]; [84699831; 92073122]; [44103555; 12367825]; [41061419; 19710815]; [94837903; 49483356]; [32028193; 71543551]; [10602451; 29994358]; [73311966; 22348481]; [84149293; 8943391]; [57341682; 48654651]; [45390369; 43100032]; [39298808; 59754873]; [78425776; 35970061]; [17866621; 73112748]; [26347520; 29497395]; [90043959; 86235568]; [8378791; 77728353]; [62306515; 63471737]; [40983921; 4090388]; [230286; 12248427]; [5365321; 82472144]; [14316249; 4377106]; [45301080; 50430446]; [26931912; 38907111]; [78730803; 69714674]; [10256894; 62946933]; [36110279; 65375292]; [98212216; 65058412]; [70367012; 41816682]; [51331443; 31404198]; [76462277; 67722584]; [70232876; 50192713]; [88302772; 44372965]; [91735834; 71693747]; [76303965; 46400281]; [22178469; 24501168]; [29419762; 7571765]; [84579752; 17951908]; [25838780; 50487687]; [82088045; 84280265]; [73042292; 92447032]; [44143865; 20446395]; [41679138; 25256475]; [72946763; 86299545]; [86788107; 31755474]; [41098757; 87901405]; [73304748; 82161137]; [36559433; 17722379]; [82460691; 30779229]; [77220976; 5077808]; [21060908; 85750082]; [61428525; 36431696]; [3748595; 36064452]; [17350568; 11026785]; [24742050; 45103544]; [21013217; 51816268]; [52617368; 97799590]; [20250493; 68161011]; [53510582; 34179127]; [50026184; 70090908]; [56687981; 70473563]; [62381312; 12358437]; [25219641; 84874130]; [75211380; 87365669]; [59867515; 85554528]; [43587342; 65120858]; [84077475; 65908998]; [11860835; 91939433]; [81216613; 47656117]; [39594153; 99445666]; [4900817; 21065370]; [8024176; 83919477]; [38104265; 69503329]; [93386008; 86326377]; [37508698; 54885199]; [20678178; 35874838]; [5398012; 27918325]; [40893728; 71450823]; [41916774; 75078204]; [98895014; 99421303]; [48867719; 36804158]; [31426293; 8300287]; [1544096; 39344982]; [56462107; 57627561]; [55672859; 63188127]; [4132563; 205097]; [17003266; 60913753]; [21765929; 2068596]; [26715331; 44980102]; [38680024; 86307743]; [81458985; 79419408]; [679249; 72443304]; [82885045; 47524731]; [27657305; 75118406]; [22881129; 16355270]; [45492271; 68407770]; [69102664; 5315365]; [94680652; 44295935]; [99944539; 86872440]; [24877905; 94688869]; [28613276; 69683736]; [34447114; 51377523]; [23555243; 60684375]; [86232023; 12634445]; [65761133; 23661780]; [84331243; 33681932]; [99515682; 97814494]; [21344085; 88981345]; [25763490; 78040903]; [85262720; 81227848]; [10511024; 52704580]; [55182322; 22945167]; [25910160; 13120149]; [38821849; 30696196]; [75726405; 94304971]; [30147859; 70669018]; [10901402; 70451478]; [39328377; 5902231]; [7688418; 4632356]; [71257693; 34628596]; [66998902; 9025949]; [91045733; 37489085]; [33297934; 78712395]; [87079082; 40477288]; [39313833; 37174533]; [14288271; 84967888]; [52441810; 99873058]; [16874351; 55691700]; [6199548; 15974271]; [42876511; 30701097]; [40061683; 8522120]; [69971963; 72561765]; [92590154; 85266183]; [88861451; 84833980]; [157791; 31846690]; [88334619; 30339613]; [87429558; 58955978]; [33871650; 91959403]; [41931570; 36370903]; [12061435; 25807357]; [89382461; 75805054]; [16246615; 32493129]; [58076285; 81433799]; [34676234; 40994649]; [26804112; 37510148]; [55930691; 89945938]; [46051094; 51611487]; [51640518; 59631402]; [69468327; 90173410]; [75738434; 50096073]; [33356858; 12862912]; [70930730; 53753514]; [58937060; 60985539]; [52740359; 75789332]; [72015168; 46764838]; [66198860; 66448917]; [80666528; 63102388]; [98008518; 81761615]; [35232514; 48944330]; [45383690; 90977527]; [41042151; 88869083]; [71846799; 89340920]; [61139720; 75028767]; [51324916; 25753501]; [36572609; 37562941]; [40285513; 90721446]; [3812120; 44661751]; [10305580; 45216495]; [25527149; 93690158]; [74730871; 14607752]; [43134426; 29484554]; [5061672; 72367308]; [93647151; 39581628]; [34536409; 99690342]; [70502423; 82007265]; [73973541; 630260]; [87987604; 75207464]; [5072003; 73640188]; [81515409; 74406868]; [65798877; 24670068]; [6201883; 50688478]; [35124627; 89933500]; [66405980; 31469937]; [6250367; 41343628]; [68902394; 17763753]; [86350493; 18108153]; [58465463; 8478918]; [2900218; 38599896]; [83494520; 13355757]; [33573710; 57512889]; [34515922; 1805840]; [97993335; 6546504]; [89300427; 89674260]; [69602516; 33391061]; [92539073; 36512183]; [83000382; 54780345]; [39401591; 74305118]; [89271948; 27451418]; [34664276; 23343004]; [27062916; 34372121]; [23294416; 66208628]; [76745455; 61812930]; [42104132; 26730851]; [92802472; 24938308]; [2456855; 64802165]; [36376647; 98752660]; [40541916; 34743616]; [50440462; 26049491]; [62772186; 59597536]; [98092269; 54487633]; [92378749; 12733256]; [24871803; 30330009]; [92052390; 79992232]; [81010124; 77183022]; [38053726; 43746994]; [39093072; 64417879]; [94537534; 89058942]; [10618404; 53632820]; [48999115; 90491765]; [8820373; 72310241]; [90341365; 1303624]; [76104435; 36554134]; [88538519; 89245584]; [88216112; 64920441]; [66012606; 41597514]; [95052418; 15704004]; [24888176; 27091941]; [44425882; 90247110]; [38475314; 6243553]; [81633775; 47250812]; [20786578; 34887834]; [47019124; 11984506]; [79307173; 46666096]; [60324572; 20199998]; [47745827; 63305290]; [65360303; 53995104]; [18252258; 26940793]; [22590417; 88018622]; [35877284; 57983129]; [63538156; 30012144]; [24664766; 79848484]; [1558058; 80414468]; [6865802; 74404771]; [25001803; 31610770]; [65792182; 43834278]; [43748256; 89498201]; [21873699; 42056801]; [97639; 62384793]; [97787216; 85429336]; [35910504; 9018321]; [11812799; 19672667]; [29886172; 66175347]; [30016970; 40738895]; [74481918; 84963792]; [53066850; 36149084]; [89399410; 10027875]; [71918681; 80369902]; [69022492; 42955210]; [90314885; 53345294]; [54276521; 29904702]; [32287718; 72668161]; [67092899; 65935606]; [1057295; 37565888]; [71657776; 80857436]; [66434938; 64584657]; [14829081; 26552118]; [59488301; 2802435]; [21974825; 33063335]; [96053614; 96514335]; [44338325; 7326044]; [99857679; 52331646]; [35965195; 21175573]; [8874988; 46480]; [3735307; 26154200]; [44383822; 30209298]; [23230383; 36518153]; [34775539; 19875663]; [1044860; 23667863]; [59860313; 51096464]; [98956832; 7866348]; [76260962; 29882689]; [70471334; 95137351]; [95864520; 60333007]; [16519422; 34275754]; [17768663; 81370101]; [12831905; 44681471]; [49538873; 72263487]; [75467638; 96244758]; [20276425; 13181909]; [61346450; 61891374]; [98320933; 33352107]; [73155196; 12563525]; [69082197; 31266822]; [92372565; 2359379]; [41473615; 14192573]; [20117920; 93589355]; [81377469; 30693559]; [5184122; 33205260]; [35029836; 72933444]; [19461127; 56249277]; [9760398; 83825375]; [5543883; 64943960]; [621756; 97150183]; [81120221; 59144694]; [52505328; 74911769]; [90553949; 82214214]; [95788940; 52197654]; [51759678; 38378871]; [15552786; 60201484]; [27066361; 24291075]; [20445852; 67463729]; [99774289; 94465287]; [93958230; 54256593]; [63694544; 16462099]; [70520144; 94845203]; [91907796; 95613637]; [48310733; 924189]; [77797813; 66295751]; [10349200; 20606985]; [40249632; 20948641]; [97217297; 90093675]; [72892554; 69040067]; [41419647; 90517633]; [97256268; 7335839]; [81174388; 89132294]; [36972146; 25722035]; [17180345; 68611272]; [33986507; 42250205]; [65056722; 31005665]; [83423771; 20567479]; [72488700; 81573796]; [835572; 69376416]; [90084400; 68077815]; [52032167; 6244601]; [62381207; 18297274]; [90587103; 70702923]; [66941941; 34982543]; [79329514; 63075425]; [10424628; 27019843]; [16400511; 21664536]; [49445347; 86565394]; [96754348; 95411828]; [56227259; 16770184]; [3546035; 58547050]; [85172908; 9355197]; [43489252; 33417970]; [14161609; 90623264]; [80116257; 71658060]; [19679655; 30909592]; [89369855; 25598063]; [90193226; 23236874]; [38424751; 19172752]; [44426037; 90085369]; [99118009; 25443995]; [15794382; 8971518]; [8231202; 98545899]; [38280502; 78661238]; [61562064; 48144485]; [36666205; 91665200]; [51417374; 76070048]; [67296734; 1656664]; [19940004; 55222963]; [58042688; 83342652]; [13581779; 76049650]; [43384707; 41736887]; [41317792; 94799191]; [79445323; 41004375]; [6249599; 82226385]; [67029603; 85365844]; [98048684; 75545157]; [31756449; 37151913]; [52629358; 30246368]; [36165966; 23694980]; [85904440; 15303613]; [58552345; 78961987]; [96501866; 43273006]; [91255533; 62049759]; [63115683; 96149286]; [69718800; 33606714]; [14445046; 34069577]; [30831749; 66022720]; [92269410; 72485839]; [5254530; 74231163]; [75050298; 68672365]; [29002677; 83607152]; [37994407; 72911750]; [56527429; 18832421]; [62037635; 22503523]; [65613103; 75189038]; [95318221; 94204001]; [45884322; 40249472]; [71889003; 93326225]; [33802091; 14043959]; [25587568; 47772017]; [45127736; 7150189]; [41849469; 41900658]; [69227174; 6521922]; [53486584; 29851982]; [96623511; 89904276]; [37820610; 43085461]; [10466045; 62957114]; [9783368; 61562905]; [76368772; 19674655]; [59097686; 23568105]; [59853519; 53457813]; [5812074; 66798690]; [57482198; 48006711]; [94389337; 71475455]; [54162345; 24254729]; [94493542; 38231186]; [86092678; 52222164]; [67756788; 38191022]; [11341454; 81308277]; [32066107; 44699479]; [53346591; 63973518]; [79234210; 29809037]; [12147559; 58053636]; [97941661; 44823774]; [87969752; 48090842]; [48188594; 88983541]; [57052402; 64696910]; [70313261; 48727434]; [80194247; 24530787]; [92826953; 43067563]; [42045863; 45198396]; [13933244; 12854805]; [96312252; 14286521]; [61698071; 80585659]; [92839592; 66122351]; [62152818; 43409854]; [83474161; 80099683]; [48520844; 14239255]; [54672835; 79005286]; [64349489; 12365283]; [91715515; 59867744]; [14903789; 3862154]; [43534161; 70598137]; [54194767; 21260542]; [42349823; 21939385]; [70185512; 64677409]; [20417293; 68311348]; [39186334; 18485797]; [28972598; 35370815]; [11934678; 19783957]; [49451722; 60096467]; [28913454; 81954221]; [86171788; 9191578]; [38150543; 28841847]; [94649435; 5537865]; [10558472; 42950895]; [49217294; 1019319]; [85945325; 38833054]; [95279419; 17766759]; [15841026; 44528542]; [31893150; 38347599]; [59057177; 25972636]; [79660736; 19846167]; [4876964; 80169534]; [4388480; 61433583]; [24881568; 46020723]; [36557446; 76624718]; [14127446; 22492538]; [22157909; 2301329]; [81703882; 17977028]; [23231848; 25491741]; [85814360; 84065895]; [19953928; 19672520]; [59848703; 10446599]; [5883603; 14193382]; [15722304; 44972269]; [60626989; 38554856]; [70187391; 25835071]; [27354119; 82108295]; [12381135; 96204251]; [36071886; 75288479]; [48340934; 17177746]; [66023657; 78025721]; [42690947; 48979843]; [61678076; 47267288]; [86091004; 32276389]; [81079340; 57098426]; [11816340; 54488355]; [40991722; 81793513]; [69509978; 81893405]; [67014881; 64911097]; [47122717; 37037625]; [90199781; 18519252]; [28675488; 31299691]; [31277818; 79880679]; [44546950; 6096752]; [74780589; 99704270]; [54285122; 31052755]; [27542906; 24809331]; [7009344; 12178879]; [14603441; 68346691]; [73380964; 35558448]; [73138148; 34732244]; [95578746; 95173455]; [58806597; 75684947]; [83060086; 30076232]; [98725566; 31650057]; [42375155; 48128348]; [61194324; 97833327]; [4527683; 30013112]; [32746416; 29573771]; [56423402; 80220227]; [97817669; 65434294]; [15044136; 92629014]; [62188261; 90374328]; [92519582; 61168626]; [53609765; 38832928]; [48885886; 72041298]; [99596223; 45467632]; [38121724; 42733805]; [99258096; 39527656]; [48597625; 39550188]; [2968333; 72559150]; [69599293; 8051814]; [2415801; 87287737]; [28640419; 19737984]; [10748198; 90268653]; [91312792; 80740278]; [54574278; 99274513]; [44017766; 78743513]; [42479921; 71950289]; [90433704; 52690457]; [58860894; 92323010]; [93443754; 19023966]; [59773278; 75140908]; [90345186; 75188904]; [30789447; 38747751]; [1931834; 60665630]; [91339123; 47859813]; [11291921; 22272739]; [10784747; 2242577]; [44472022; 82484467]; [84860625; 6160640]; [75532181; 36587545]; [6862649; 95644387]; [56111424; 69511063]; [64441457; 64177621]; [23687480; 78796349]; [7464304; 51318033]; [67250482; 23038150]; [69832555; 27420097]; [10444233; 58682349]; [75798341; 67662207]; [70144909; 39647926]; [22522965; 47506858]; [59043985; 17738347]; [34622754; 31420431]; [26349016; 5739850]; [9336599; 67558554]; [96796954; 10842800]; [4410519; 29068228]; [44962865; 250636]; [39857325; 68921118]; [55209050; 38180735]; [86062677; 57047815]; [61256711; 26509386]; [53291248; 30847640]; [86848700; 43213949]; [71246269; 54128684]; [16816523; 36763109]; [24453880; 65236517]; [58754465; 52925195]; [43263561; 35551453]; [79639708; 52746469]; [59945406; 70841312]; [73381652; 19091431]; [52600816; 48113078]; [40156698; 47390458]; [75373288; 47123564]; [65942315; 48552938]; [31455382; 52869660]; [61425259; 23354959]; [44069736; 49188941]; [93064212; 52275560]; [14352753; 80804083]; [24468625; 72469331]; [22225521; 78959958]; [30946789; 92407246]; [46183986; 51020384]; [26291902; 52391368]; [83225206; 55006655]; [77798547; 83735814]; [48887697; 59239520]; [88810085; 2734780]; [68361478; 94708672]; [62692212; 43959676]; [32667141; 16412062]; [12327793; 47747549]; [49365128; 2775624]; [54185181; 81375694]; [88083503; 53958362]; [72314660; 5460947]; [59460577; 12710019]; [13893490; 96403308]; [39724210; 71711506]; [85138122; 57735017]; [25372817; 65752026]; [64846757; 12952565]; [72745924; 50487715]; [18666899; 75488215]; [84233593; 89710513]; [13461796; 92903145]; [57686301; 84491827]; [25093342; 39552457]; [79989352; 59814650]; [94498061; 49747686]; [73246666; 47173655]; [49296488; 60954299]; [81087997; 92128737]; [18182824; 51316650]; [27084047; 47755482]; [99499433; 68912014]; [61445422; 1821757]; [88254529; 93681353]; [97439034; 9080138]; [63423749; 61966361]; [44789960; 77944404]; [47490211; 54659540]; [91010573; 89054307]; [17927375; 60350025]; [17782077; 40545157]; [63117295; 37128367]; [4297274; 47702358]; [44225457; 9237052]; [56107237; 2243001]; [96186764; 55297486]; [88214220; 29556513]; [98744642; 85634758]; [28006258; 94765966]; [10698176; 18546090]; [21783799; 11922697]; [30297567; 28789990]; [34103421; 41730155]; [81457026; 71000193]; [56613425; 80187607]; [45669970; 12492207]; [81251225; 55545836]; [56510538; 91595850]; [67740822; 30673368]; [32729702; 66658432]; [30141037; 74950928]; [31614778; 52287483]; [9494268; 62200901]; [40825572; 96401400]; [15206540; 30762297]; [2280421; 70604737]; [14234538; 95161133]; [21767407; 67144050]; [27975347; 69248291]; [64042059; 25938736]; [2208148; 59077994]; [6901783; 23279144]; [9123814; 87932252]; [13126014; 7594081]; [96893302; 15014582]; [67213196; 94803322]; [68149518; 25864815]; [1077574; 43572263]; [14736461; 5864852]; [20712304; 36050050]; [8327197; 63244051]; [98082517; 20658078]; [57078444; 81502536]; [6209035; 99659382]; [10797124; 7387116]; [42470576; 96703387]; [36814408; 29499761]; [50248918; 22345298]; [53012501; 53037418]; [77392465; 35743005]; [3957165; 24834736]; [25050196; 87718123]; [24428070; 86050894]; [20779791; 1744474]; [63087090; 97950254]; [63454789; 76593663]; [9523384; 6300348]; [80167185; 22883929]; [67504105; 93341535]; [14625193; 50776093]; [94116364; 51465288]; [22349626; 93363706]; [97094979; 89742218]; [97075940; 47212143]; [69866258; 92801215]; [138860; 10937301]; [98178568; 36903957]; [39568571; 19634179]; [95236586; 40694782]; [72487989; 48856349]; [22328476; 86944643]; [83477386; 63359387]; [87093055; 24472086]; [28239999; 38196740]; [11869809; 83400718]; [94790058; 56381584]; [77965656; 56704067]; [15153167; 25001135]; [82417435; 40737961]; [5523320; 12399188]; [81675373; 72415999]; [88247970; 47101505]; [36957573; 49801166]; [76020219; 36293318]; [99443879; 62931282]; [47517612; 15652930]; [53252650; 47074002]; [29216858; 35046924]; [71350503; 9657734]; [66001003; 56963796]; [79581010; 96933174]; [17096520; 4048217]; [86694355; 68393077]; [24922587; 81346816]; [2582129; 8032293]; [64425202; 37003165]; [3982888; 36780735]; [56185809; 1916637]; [67166314; 46740316]; [26527958; 84655363]; [72615493; 36325556]; [23568723; 84719094]; [64738006; 5986674]; [63938264; 9906018]; [19894237; 71289261]; [94593606; 37222551]; [6275179; 83018303]; [87453518; 36879226]; [56495888; 52048165]; [33592655; 28669268]; [9434490; 85913738]; [39548099; 79766287]; [85307641; 5539069]; [68058141; 89102235]; [59568891; 55025278]; [83126266; 31525189]; [26075755; 11885676]; [42074381; 83960661]; [35326265; 28617860]; [61205578; 7310333]; [87787956; 42749999]; [32563072; 4426601]; [26984587; 47249139]; [73207855; 80091012]; [96525905; 64927291]; [80713858; 53690445]; [91445557; 34605468]; [96843573; 37829834]; [47675840; 46700272]; [34660029; 78511063]; [49875352; 80247220]; [67987069; 78119859]; [74786659; 82857505]; [224755; 49849352]; [89632316; 93728837]; [18992617; 62698651]; [90115423; 82731948]; [47536709; 9375624]; [81371836; 11553194]; [76350605; 23421876]; [49738879; 90109526]; [48177453; 53629380]; [32412546; 22008393]; [2419518; 72712292]; [17359622; 60363432]; [58046598; 72301663]; [68007827; 27922734]; [45371031; 41015902]; [85269935; 38755902]; [24999967; 16183330]; [54408097; 5038096]; [6057171; 16632711]; [46278582; 8463147]; [57994011; 83198654]; [55673541; 49127947]; [31177399; 12438257]; [36770316; 46902309]; [29401658; 40967716]; [94890470; 72733023]; [15279150; 32589552]; [21171836; 43110872]; [46131589; 94428538]; [12135066; 45449518]; [10266553; 867937]; [72902943; 27546511]; [80286877; 42611199]; [90329678; 97567929]; [98599576; 33097127]; [66882208; 35636989]; [59901826; 35466316]; [93370267; 45143918]; [22419603; 41703360]; [76800653; 80827133]; [5903020; 44635287]; [33368557; 18159756]; [7113649; 36629422]; [51809623; 49056519]; [35834287; 77485038]; [83254967; 61920458]; [28497858; 13271901]; [16617052; 4314303]; [47879724; 34175893]; [94716110; 70499425]; [84542486; 66008993]; [1345740; 39748310]; [87165835; 54986725]; [53601146; 71815331]; [30318021; 13401276]; [87075612; 80236894]; [30430842; 37147999]; [89059968; 86059789]; [78352320; 45843573]; [87672874; 9651610]; [57065844; 50971448]; [27850019; 38635211]; [13493319; 88028347]; [94628592; 57694271]; [36228852; 66576377]; [14970518; 47277820]; [31797077; 42238859]; [82565932; 64529541]; [53871985; 18091641]; [69936321; 36209745]; [93805365; 2217321]; [16914515; 18154959]; [87291275; 13507630]; [73068131; 35862598]; [72278737; 54359515]; [85437306; 17542725]; [55715717; 14986009]; [26425853; 71462188]; [46886783; 5263896]; [50618446; 91413930]; [3679405; 44000349]; [57245618; 78455036]; [20882031; 31637028]; [40007341; 41514245]; [18876865; 63668373]; [37594335; 47088850]; [4019742; 45680184]; [17395566; 40772456]; [81779642; 5735784]; [24948727; 21281636]; [43424077; 60453390]; [95758586; 15828642]; [89142005; 39593204]; [30537723; 88310932]; [78365122; 95311757]; [7756168; 12533427]; [94534220; 31479820]; [49883419; 80707479]; [4055443; 93865622]; [84450416; 11085096]; [58073717; 59458140]; [35371266; 45257545]; [14058441; 32405876]; [56508420; 38380802]; [68841491; 24002087]; [71986200; 38195659]; [2157448; 9293921]; [50364064; 31815342]; [70242211; 53910146]; [57726258; 29502080]; [26627899; 10438788]; [69072201; 85442183]; [79423345; 58148165]; [11275582; 31635111]; [68763896; 53551646]; [96063107; 55692240]; [63497724; 30822926]; [91096008; 82111043]; [34301029; 57891050]; [32308544; 25255557]; [78985566; 13688187]; [79972244; 96527500]; [74120810; 17604267]; [3135406; 80792061]; [5802073; 41658676]; [44519930; 67683411]; [93108511; 55916487]; [22255485; 24403443]; [64064576; 87458815]; [33649537; 10335715]; [41117941; 45990143]; [61743378; 99932524]; [31285036; 16559]; [9034964; 20510262]; [39138848; 72791376]; [61786731; 22843827]; [8978856; 83676929]; [79768766; 82247266]; [9884209; 11475503]; [22708356; 71083908]; [4490462; 12781785]; [28075572; 20388200]; [74007884; 51685096]; [74850271; 70812157]; [40091868; 53647926]; [87544719; 87360072]; [76132297; 12918915]; [2157378; 80683749]; [7467119; 35412674]; [89073847; 70929980]; [86758334; 64028642]; [58216116; 51329879]; [25189850; 62475554]; [22138631; 68601044]; [63016922; 711062]; [85453470; 62008315]; [72395835; 84011741]; [38118205; 91606851]; [40693943; 15550671]; [34857236; 33821692]; [6577382; 46206259]; [11534786; 84467341]; [30538680; 23416288]; [66832299; 51779838]; [19184045; 68331834]; [74952477; 22639143]; [66176928; 17345397]; [14022098; 18816650]; [61146196; 68524182]; [18500432; 34904058]; [78452278; 4378853]; [77913789; 49686394]; [40321841; 57056836]; [67663320; 37017248]; [81099783; 34288516]; [80514648; 46249879]; [53015588; 68520908]; [96595973; 61404165]; [66304788; 55430271]; [283921; 86972502]; [19590226; 32687746]; [78892114; 79105978]; [7230649; 10929151]; [72942344; 62910375]; [86497540; 51000540]; [67495598; 38370243]; [64579891; 43142891]; [46589498; 79705269]; [26844528; 6215399]; [22697599; 63300753]; [33561848; 15879096]; [51681410; 91645437]; [45343570; 95729055]; [73594616; 30651674]; [58399321; 67550211]; [61032318; 49694193]; [244399; 87131943]; [44830114; 70611360]; [55538857; 71485843]; [67455364; 44748266]; [28626361; 21759804]; [50606285; 14185518]; [2812719; 9522707]; [36784130; 69118423]; [81664877; 23021950]; [49727299; 73170222]; [85530347; 18480359]; [89362263; 48267613]; [75684913; 20860624]; [81241654; 21994795]; [32547025; 43064102]; [87772837; 66844659]; [67502710; 97031040]; [11101436; 81787684]; [59572862; 58789960]; [54988487; 38868033]; [18030740; 58755434]; [5562370; 6715309]; [20592673; 72534457]; [80275075; 18424636]; [72649795; 71622328]; [57931015; 35624854]; [52699815; 25026808]; [62785381; 78857784]; [75422215; 51321750]; [54915324; 19989016]; [12957502; 69795809]; [82143426; 65536057]; [33692882; 13695019]; [31402332; 70090646]; [56658917; 9694954]; [88387298; 73156068]; [62041353; 36203164]; [25127481; 69206134]; [20367311; 79882816]; [16131357; 47649136]; [69768841; 53560202]; [19505939; 78996489]; [55076271; 20466388]; [66026923; 84642969]; [5722832; 35222641]; [18628658; 41041643]; [30413626; 58599579]; [80708513; 64087938]; [13574566; 39899409]; [60433713; 14090918]; [10887036; 42901974]; [78375602; 5098921]; [2187551; 84035543]; [56139881; 38689401]; [78425582; 74922152]; [14335021; 6168277]; [96358626; 18137175]; [29885561; 38624168]; [22003501; 3941862]; [21258764; 41731373]; [15933563; 88895746]; [19967678; 30231628]; [48870320; 36353768]; [74087311; 68638679]; [70299960; 11437590]; [42591926; 51629252]; [89166536; 99345861]; [50130248; 1599688]; [2682611; 82259303]; [3961230; 45181866]; [66088724; 58040763]; [32547741; 21491591]; [9233521; 61530096]; [75417811; 5994857]; [9685223; 90059302]; [81622180; 95081329]; [59285476; 79219395]; [99466433; 42435525]; [60118532; 93508615]; [83970481; 60376194]; [28714420; 25124879]; [87891061; 25559054]; [36898244; 84779310]; [43842885; 78086399]; [30430019; 77128793]; [14129419; 442240]; [89367578; 10140753]; [8290237; 90696710]; [14895700; 15896738]; [72383330; 57100559]; [34059807; 28509301]; [68293675; 56886189]; [80290857; 91722334]; [28884416; 65130730]; [19958785; 597126]; [50470893; 91662835]; [43285965; 82681091]; [70074723; 80850637]; [40707601; 4415917]; [66750827; 17819464]; [69692508; 87676023]; [40108182; 22381903]; [81513158; 87965916]; [4656548; 42400600]; [34462012; 15924814]; [9233250; 51757426]; [4773778; 35245721]; [78257488; 46062437]; [47049938; 93330233]; [49649281; 90199125]; [77945786; 66350684]; [14711097; 62686450]; [95811178; 116016]; [315544; 18378949]; [7788946; 20985663]; [9088744; 84843759]; [83721101; 72888594]; [83765156; 43335634]; [84336647; 41103896]; [766660; 15472440]; [42518630; 18398007]; [54603861; 45191311]; [96396449; 13742560]; [84439191; 83111573]; [89733968; 74492737]; [36630342; 99208499]; [20228985; 81786242]; [94239858; 80722109]; [25508774; 61522583]; [41535927; 44859552]; [74541857; 92862108]; [83051030; 40253136]; [92621311; 20889377]; [19354641; 83783183]; [88517787; 47546466]; [63897550; 91104400]; [19367253; 81212000]; [47909829; 14199269]; [61895740; 2145859]; [10470253; 74938517]; [30652681; 84724774]; [95779118; 42111890]; [63617605; 88668354]; [96967945; 65293608]; [87353684; 55871941]; [32019952; 38409775]; [88461882; 83074386]; [42589058; 9014140]; [11752608; 73983829]; [42719802; 8573275]; [55708163; 12226420]; [54133779; 27457850]; [37985496; 72895793]; [59899471; 90011721]; [8383681; 86190685]; [54657663; 63215311]; [3347291; 17688687]; [12198015; 70050153]; [87857260; 30355093]; [17251623; 5536660]; [17007959; 52823536]; [69534797; 72921766]; [4270431; 61217604]; [53818960; 22816853]; [68086739; 647764]; [21626856; 50821943]; [29749745; 10877335]; [24294138; 83678681]; [53848844; 15751145]; [89758784; 21290016]; [60319222; 11881819]; [98419425; 58914462]; [73798394; 54717316]; [84177219; 67681104]; [69731094; 56638964]; [48336230; 70994156]; [54382916; 86205758]; [32622494; 52067909]; [33694216; 92881656]; [33551261; 88565270]; [11770672; 68314801]; [41428670; 83924616]; [7217281; 16615612]; [34123605; 5422563]; [51622161; 27690818]; [79885167; 34647041]; [61944893; 11984232]; [51054724; 46574632]; [64070312; 69977585]; [35836359; 32517135]; [38038277; 55890253]; [60790313; 81844686]; [54039610; 50671336]; [68708065; 51469054]; [40074678; 50688856]; [62874986; 68017456]; [35311079; 1767073]; [19104678; 74560142]; [29113974; 34702230]; [3837632; 91156369]; [61499868; 21833843]; [51351502; 63177854]; [5578441; 43634610]; [12188405; 16931305]; [81728513; 25588076]; [89651896; 74351183]; [33193133; 2865149]; [86752662; 37765368]; [17367973; 71218712]; [1347987; 80265338]; [44701137; 28386592]; [53930352; 6740944]; [15711504; 13258034]; [34098782; 20867265]; [90859442; 17366979]; [60738257; 6227618]; [68270719; 34693889]; [23903794; 34937008]; [88769442; 85963476]; [29372878; 97387454]; [23359590; 64343562]; [10214886; 51813673]; [18287170; 43907321]; [16637564; 74441645]; [63980009; 39659645]; [67652013; 66935855]; [62676123; 28105427]; [57813146; 56683647]; [92716631; 11344995]; [40491220; 11991323]; [26176609; 54792449]; [37144819; 75708105]; [18288520; 5141976]; [22655345; 52652510]; [69108274; 45354339]; [53437061; 90757172]; [45036371; 19973390]; [92976494; 37304785]; [26238339; 89167360]; [32291736; 38033204]; [6830867; 33460326]; [48348859; 61322350]; [819777; 31192558]; [54321045; 44028796]; [71631887; 7748994]; [92282082; 64764715]; [55193603; 93481124]; [48578851; 73731730]; [15182807; 19115587]; [83831182; 35274916]; [52349213; 2833427]; [71490686; 44918233]; [27845496; 62544995]; [65722557; 4097300]; [37073882; 225792]; [12678276; 67954022]; [13124944; 58352869]; [3927350; 99201582]; [49939993; 14780343]; [54177500; 29084762]; [65320575; 62218860]; [97349542; 12217467]; [81575185; 86530907]; [41635142; 47133883]; [15248082; 37761813]; [40512130; 20925385]; [65338813; 65316132]; [64605956; 94414972]; [47036180; 3619204]; [60835322; 65357939]; [86362384; 28578811]; [49356795; 56869705]; [21327962; 27785541]; [91909681; 61570659]; [14832304; 21714766]; [89555487; 41539528]; [98966318; 7859316]; [92133066; 4541535]; [99743225; 80266591]; [61891433; 43404346]; [71279945; 72917880]; [92640751; 34118044]; [76739402; 21975396]; [4032281; 90262953]; [29463332; 12677124]; [60789236; 1517617]; [68225231; 76870210]; [83133679; 41270340]; [25302135; 32440023]; [79985598; 24632428]; [87959114; 56040230]; [71957934; 84045884]; [58962529; 92416619]; [89050330; 84534000]; [79956584; 72002038]; [92382984; 46561791]; [86800962; 10832993]; [71593571; 26569707]; [82695654; 3900201]; [72518103; 34593658]; [50145638; 35550929]; [44702623; 47375000]; [96916508; 60721893]; [90660587; 10140393]; [62169152; 60162345]; [18362982; 35705447]; [99912294; 70346644]; [97398164; 18700505]; [98329620; 78133202]; [71944438; 38041282]; [64437827; 35324959]; [50959599; 22096942]; [45502354; 26169371]; [97723647; 2262073]; [96876967; 64788543]; [32383104; 25068674]; [61291819; 94374270]; [58086013; 28433512]; [50077825; 99658617]; [26090106; 25283079]; [69032782; 27638917]; [58076982; 33923595]; [66514546; 82725774]; [95128024; 32493068]; [15505300; 17837940]; [4145788; 67102954]; [91930466; 64464955]; [45519279; 68932851]; [81955701; 92774199]; [95125420; 92352146]; [86405062; 18076037]; [30253072; 28251145]; [55015441; 31427984]; [71923320; 19570754]; [90406065; 66788825]; [70604965; 24223074]; [55693939; 19036902]; [66632325; 72677665]; [47282525; 10961980]; [18941749; 75282368]; [15825626; 46102723]; [58827040; 4995449]; [58703051; 19790853]; [99365478; 73238044]; [48705206; 48867001]; [92291463; 98082572]; [97298494; 56304512]; [3477183; 1389937]; [73543626; 94026580]; [48665462; 58468308]; [31287825; 37890373]; [45394557; 42234263]; [44849224; 40790769]; [82462503; 10095475]; [14647305; 93802471]; [19530876; 17075825]; [64372001; 35490302]; [52324604; 28276255]; [15840321; 17698392]; [7022877; 17433535]; [29933420; 23487103]; [31746268; 93090972]; [71146155; 68128302]; [53968582; 99240240]; [35765843; 28010564]; [17034068; 16086713]; [79975966; 30897558]; [90007951; 62977485]; [10711432; 57500227]; [2058115; 29996266]; [15168956; 67847563]; [66755674; 47609345]; [32551579; 70884724]; [25024546; 29887457]; [28907136; 95445005]; [82738348; 49713459]; [18776556; 83045847]; [55413046; 82055739]; [71709066; 76434635]; [48164710; 30635933]; [81788215; 81738454]; [6425257; 16438394]; [64786161; 67718707]; [67799467; 4285441]; [94596642; 19270044]; [39075463; 66968507]; [3567150; 71767700]; [20615324; 73309273]; [68286149; 39911548]; [2000084; 97762640]; [8181400; 64434545]; [86173569; 63690598]; [39421916; 62883922]; [90147161; 10220361]; [60670424; 36468153]; [48570822; 8714729]; [81581242; 32692409]; [1865838; 12308052]; [15105125; 33121950]; [99546845; 6330265]; [6640120; 31891205]; [19803308; 68294960]; [95799199; 96867936]; [33943015; 42717700]; [27929152; 72147023]; [91644344; 8485606]; [23705608; 66296437]; [59540808; 6963982]; [45327004; 51439160]; [35653099; 48417902]; [13879593; 88264373]; [84002216; 87128193]; [66096965; 96787916]; [11009317; 44482530]; [35421153; 54486279]; [14229718; 18557512]; [68587101; 64583316]; [72511471; 234089]; [23306189; 44975342]; [16783380; 32580277]; [31215142; 33121313]; [925164; 12240942]; [72115377; 89304691]; [99496528; 79871382]; [90263226; 71119949]; [24051753; 14105600]; [75809943; 86512860]; [25807301; 16795442]; [29218828; 95491347]; [57250227; 78815922]; [6540515; 88378998]; [44555646; 23779760]; [30505485; 94946633]; [98251467; 19420167]; [12161641; 2349029]; [38045343; 62121714]; [4277778; 42626027]; [18006922; 19012690]; [65541278; 91187401]; [34547934; 17467681]; [53166923; 18203097]; [55268624; 32732149]; [41851918; 12194749]; [11468317; 15117340]; [13307496; 59438416]; [10946613; 91619546]; [17631377; 68007465]; [12335829; 87827502]; [79207050; 96040849]; [66692852; 95802187]; [70389935; 27664108]; [61813359; 20412331]; [82559437; 59539053]; [39863314; 71172513]; [81492868; 44319304]; [65613822; 83183577]; [90151832; 86434377]; [62022031; 90138800]; [75595006; 82906229]; [61454939; 87384788]; [30839984; 83928921]; [42070037; 59841118]; [54888279; 48851933]; [31662713; 93834721]; [80642399; 74671978]; [96341371; 81661336]; [39874138; 26145989]; [71925599; 84606645]; [25508955; 68130388]; [78631853; 59714876]; [25556191; 13820561]; [97597665; 85504765]; [99591561; 41987412]; [63616442; 56197403]; [78795119; 40441846]; [22034226; 53464950]; [1823136; 70270897]; [91240363; 6274634]; [58003018; 41535457]; [73563927; 58991943]; [40357552; 66524353]; [21053080; 48188749]; [69006141; 26298206]; [18240560; 56722854]; [25582318; 48612719]; [38618240; 6422481]; [2329730; 62952876]; [7621890; 70272170]; [71619652; 34083993]; [37076096; 18355342]; [33666738; 56412210]; [62719729; 97509576]; [85956745; 60824149]; [20588202; 22016848]; [9435945; 81446454]; [25727399; 62903716]; [87061705; 29192210]; [52492779; 79097334]; [22943065; 7050215]; [52619237; 32513131]; [59370364; 52984840]; [37213802; 87718838]; [61837960; 33703185]; [27550410; 14241235]; [45459533; 22926801]; [88812239; 39550908]; [54696621; 56290507]; [32750712; 37989172]; [78135365; 6941995]; [85405181; 73066847]; [53007107; 46547247]; [14081445; 2642949]; [70855180; 44340497]; [17278244; 58639834]; [15267967; 32476709]; [92331677; 81303334]; [19997485; 84477543]; [52486963; 98128054]; [82959759; 44517595]; [51741427; 73600395]; [88843298; 62474124]; [76365830; 8174297]; [80273694; 94945875]; [91619850; 45560899]; [75671764; 61084852]; [86943619; 93444666]; [5946402; 79407788]; [64387803; 1310948]; [3864209; 62630284]; [56889203; 94527214]; [87797267; 25362943]; [28991228; 57899334]; [79846741; 94440407]; [66356797; 89426016]; [6290956; 4590100]; [23476141; 22305525]; [10971989; 32642590]; [3293394; 8305341]; [75827195; 41966340]; [37796122; 36252763]; [82223287; 3606858]; [17599657; 36923861]; [50743520; 44098807]; [44811746; 71831937]; [52394466; 19711312]; [13648308; 87927756]; [94673524; 15906077]; [70419926; 64185563]; [64698829; 37123368]; [67174524; 94664813]; [13875148; 54543077]; [61442297; 58170308]; [58768919; 30075569]; [46572757; 48428049]; [99283522; 7706043]; [90653328; 16366779]; [70546267; 16557914]; [92979020; 33650920]; [27605314; 48118296]; [49976105; 43564145]; [65841995; 78758043]; [46575924; 60437256]; [68964203; 20929706]; [44901857; 63974948]; [13258326; 96978030]; [5040055; 44043202]; [73059539; 36138371]; [58971865; 188293]; [62764328; 66179919]; [35481175; 39027194]; [63108812; 32693132]; [80173055; 84603848]; [60765910; 14288856]; [91225152; 19473077]; [54115979; 12757472]; [83842256; 92871156]; [26473107; 49316966]; [52062430; 66172627]; [76535393; 11955724]; [7622599; 93631264]; [31103733; 59227662]; [78608139; 14343041]; [65738154; 28285938]; [16989406; 7300486]; [56985629; 74020801]; [62139782; 96993069]; [97497154; 43514981]; [2401744; 41524248]; [76073099; 12007187]; [35398513; 96989015]; [51064028; 51418211]; [97061491; 23201096]; [24030164; 12449063]; [65355031; 27181036]; [41841894; 58260177]; [65814355; 41783297]; [38105311; 16311010]; [67941928; 17900600]; [36563354; 11221625]; [1525874; 37731977]; [60054862; 36190126]; [22537115; 76006401]; [89837921; 50913438]; [12738550; 62994203]; [58835248; 5680220]; [7068161; 19182521]; [42535407; 22748620]; [86139345; 88685503]; [67958654; 78491618]; [96956572; 34704972]; [5949620; 13658345]; [84766881; 10895]; [46967677; 76596664]; [8646857; 55586411]; [79650497; 59750028]; [47276064; 50778578]; [3611419; 57805098]; [36477500; 72883207]; [80755705; 59659378]; [37357127; 50946884]; [98114169; 28520092]; [9665709; 89111942]; [14030441; 96964095]; [88338413; 48296632]; [67717578; 36727421]; [88168900; 35822962]; [25464400; 63672857]; [2234276; 55263657]; [34955414; 73669900]; [40930077; 43369732]; [62438142; 45913995]; [5885737; 36171341]; [9801986; 11301875]; [27440533; 88313022]; [2530465; 82987949]; [9930156; 8800480]; [26170314; 21103341]; [66209959; 27904373]; [61008455; 2324230]; [88506336; 42148539]; [8029957; 95385895]; [87644546; 65910514]; [17292128; 68174739]; [83700141; 52859403]; [61615706; 90086417]; [38099146; 99420078]; [45637342; 55865362]; [61213302; 61146376]; [28395562; 48682835]; [93152410; 88278706]; [77005698; 99587325]; [33636243; 84056750]; [7374530; 68194737]; [73512257; 99539196]; [73499443; 9639364]; [3620291; 73710842]; [90225634; 59684878]; [15406172; 55942549]; [81650200; 14111492]; [98078895; 81063500]; [31690409; 8265594]; [99598583; 56928321]; [57201380; 75678196]; [77618256; 5997588]; [30767936; 14836445]; [12795161; 17678707]; [98875048; 5871059]; [1400497; 47856575]; [6086285; 81002915]; [64958077; 44008686]; [12855147; 64578064]; [8101573; 55734738]; [3292645; 58435243]; [68340289; 77478591]; [62550206; 28392400]; [81007258; 2459415]; [50033980; 50308344]; [51671645; 29508279]; [76848594; 42192100]; [27463730; 87912054]; [52203969; 16785612]; [77397744; 33978406]; [83121539; 22242973]; [26919536; 35331415]; [82881503; 14653762]; [38173952; 19009980]; [52150868; 38393209]; [70520225; 22812162]; [41454393; 35806695]; [26623418; 78731079]; [78175365; 57317377]; [67472169; 22418361]; [86374628; 58341553]; [14547396; 53976960]; [99650004; 97387751]; [16991363; 12422462]; [70970166; 70162191]; [60415778; 49999135]; [31340990; 8712396]; [10328016; 47177995]; [58432841; 74878588]; [56320113; 93230692]; [19506382; 60300500]; [23919176; 35325236]; [40737357; 58390494]; [51761184; 30617031]; [74974270; 59592134]; [19761473; 4651549]; [67244434; 96451141]; [77846673; 18114210]; [23900340; 20054299]; [83796929; 74132344]; [8199681; 93789622]; [65440666; 28839380]; [96572949; 39002885]; [44560235; 55921123]; [12194651; 39092662]; [4514787; 9213455]; [82804211; 51436186]; [58616337; 81550584]; [95149254; 43124669]; [52989805; 53429319]; [12511028; 21464528]; [30375509; 60501483]; [88977423; 10920429]; [35874254; 91669027]; [80589071; 67136014]; [28575078; 86224945]; [88056414; 84447965]; [12047894; 84161498]; [37762806; 35618040]; [37807906; 78818917]; [15791211; 92286619]; [83680518; 11948430]; [58572478; 42573193]; [34438403; 92827300]; [36321239; 57462737]; [60862095; 30900665]; [21425609; 78119788]; [91224889; 51314810]; [57338117; 8054954]; [71658576; 23244872]; [21485657; 97259968]; [15296633; 73769286]; [49176689; 10237072]; [36040504; 60071559]; [98359353; 39724425]; [8819448; 10094159]; [68592055; 93449980]; [33717943; 72520763]; [1242800; 59931937]; [81020004; 96696505]; [21298809; 73081790]; [8203299; 58015451]; [37916899; 89493732]; [78985808; 47229106]; [47551721; 32187537]; [74383755; 97353069]; [81917307; 28419292]; [97608487; 85160887]; [84114045; 37215617]; [30076146; 46705868]; [75447105; 15119373]; [27766334; 23903924]; [5487613; 91004907]; [28984616; 59677777]; [3637239; 63953630]; [84690585; 15103017]; [45300308; 36416783]; [23323447; 68585921]; [12748569; 56300140]; [44221413; 49640888]; [92035775; 57529315]; [8363018; 8757025]; [77628685; 66251067]; [18426036; 51265256]; [90871075; 75691017]; [9966242; 86058308]; [73536126; 40106594]; [49053850; 68890877]; [22543141; 1377228]; [8963849; 87319553]; [40887622; 48974550]; [42470297; 6744155]; [88457214; 48411617]; [16755507; 57826179]; [44351934; 86393028]; [96159656; 46519405]; [55786948; 79875895]; [76479884; 16913310]; [27617821; 28468370]; [10724961; 39886131]; [99915656; 33854077]; [4817521; 57496677]; [73217986; 96694469]; [11838682; 84837157]; [24952426; 89388612]; [85482840; 62178358]; [21935773; 86738737]; [27142687; 25521353]; [55822124; 74036393]; [43216107; 61045806]; [90790933; 68642412]; [44479418; 9917153]; [71555944; 12053000]; [44278139; 63236944]; [5525162; 48844363]; [46953994; 40121628]; [83053991; 98367040]; [48285118; 38137544]; [19868658; 5594217]; [74003445; 99939209]; [44037289; 24148498]; [20386516; 73348733]; [73612085; 78334545]; [13470117; 98098939]; [29143629; 7767186]; [78723169; 97101617]; [46620279; 34486709]; [35152677; 16295469]; [13954340; 37999118]; [34130803; 33582543]; [14113206; 71590644]; [7064764; 79350775]; [32299618; 90297712]; [91460937; 43791102]; [22805262; 68017053]; [14696624; 74313464]; [88206338; 61392230]; [56541459; 76871554]; [68986810; 67024276]; [47583256; 48542909]; [35964076; 69665974]; [84908507; 85254913]; [35099058; 65836886]; [19762441; 40952017]; [43235622; 40494961]; [31096869; 11926922]; [18167702; 35686899]; [37399241; 89974128]; [53061424; 82281547]; [61189536; 74865146]; [56805596; 2754712]; [4510774; 83745084]; [4705901; 97408853]; [69544748; 82378767]; [70530496; 65993515]; [91244876; 67016289]; [95154322; 49246074]; [87321490; 33876083]; [20255193; 24436]; [85070886; 19183202]; [70182622; 33455606]; [94840361; 77758062]; [49310138; 82835463]; [60344805; 56365360]; [92988410; 42571227]; [46832133; 14550192]; [10332765; 38657105]; [19928081; 86627315]; [89242499; 67968825]; [59399039; 39833864]; [27223161; 60818911]; [81560072; 66909682]; [37552429; 37090452]; [55600523; 1805043]; [11541195; 94311735]; [30450547; 60156401]; [62733084; 82489999]; [69236654; 65800447]; [29324900; 58142606]; [17361578; 67341280]; [83472806; 4280529]; [5781719; 11896677]; [14013287; 56708649]; [71423314; 27427821]; [1972387; 51280316]; [35398388; 43450202]; [10924325; 38708715]; [97367680; 30907998]; [56501742; 52292139]; [82198924; 35669571]; [30470671; 54184814]; [90481033; 91681974]; [86345738; 4340279]; [63834459; 44707640]; [67703662; 16857541]; [4934879; 24456421]; [83554849; 3420926]; [11693227; 28561400]; [27981952; 3892020]; [29499609; 21751530]; [87408445; 20664903]; [32293791; 11027530]; [23890746; 48331034]; [20971867; 87774952]; [22645957; 63762654]; [55919835; 23070645]; [22277277; 44201286]; [47734957; 26810298]; [75939018; 20690167]; [13110305; 99272219]; [91646274; 24748779]; [85105453; 99891391]; [19344736; 4882032]; [45850643; 9812373]; [67799195; 94071347]; [26086325; 41962634]; [59644596; 71893139]; [48789286; 52221153]; [93086761; 8705106]; [47092034; 90829280]; [71349458; 54999083]; [4119149; 65973347]; [83679344; 19483329]; [25311127; 94756261]; [41692966; 33729321]; [6180235; 69025841]; [33098533; 66856498]; [48656864; 45268604]; [93174686; 56112663]; [55189822; 63955294]; [66420000; 35691621]; [8208462; 30405793]; [57715239; 62487122]; [69832660; 4705066]; [65233308; 50646481]; [75588316; 37764172]; [12992167; 294807]; [85179091; 31027314]; [17357719; 43178872]; [48007178; 58518979]; [47086029; 14956217]; [76357553; 94973160]; [24516134; 923907]; [50060860; 14053591]; [16871760; 48286634]; [32893665; 95837897]; [12891056; 85392250]; [24539502; 58318981]; [73375950; 91488402]; [36159569; 64166899]; [10703384; 17325970]; [70150375; 58188068]; [98092185; 62236110]; [92697361; 86622114]; [52553714; 64095492]; [80736093; 36878081]; [43684571; 72623101]; [3231527; 34575368]; [57367948; 18105789]; [73630040; 17464183]; [96409163; 17079563]; [95972289; 16135629]; [46308020; 34135062]; [58095482; 79230060]; [42105910; 55519413]; [16405405; 64668943]; [63190378; 2391716]; [57292013; 80702700]; [76787426; 51038132]; [56997238; 64833985]; [91101307; 25813012]; [46006616; 39247820]; [77651277; 34010814]; [27905229; 90520085]; [83357941; 20762260]; [45410662; 34295324]; [68300567; 34676763]; [16127210; 42629903]; [76129811; 14548566]; [93029734; 59604327]; [77189418; 33573503]; [78538638; 69935930]; [47365360; 61416126]; [32762526; 7035203]; [74173979; 24224591]; [39196417; 59725267]; [17826775; 65773312]; [31845575; 66697700]; [57382159; 67080978]; [8218267; 38886070]; [85236121; 37732414]; [51869394; 19336494]; [17482446; 5384027]; [63970960; 81199289]; [67016500; 52949568]; [14264489; 65246438]; [18724437; 66202188]; [49256487; 77260803]; [90987001; 61994957]; [35617863; 8784548]; [47632991; 37409389]; [83512424; 3581997]; [68751768; 44323403]; [16644169; 7358823]; [41971578; 66280619]; [29074350; 37074068]; [20621637; 63066394]; [86266060; 35410111]; [12889807; 35869655]; [60040862; 8075130]; [82263844; 96250257]; [13661593; 1772008]; [60425076; 97470693]; [45263164; 81683297]; [40362408; 38940888]; [30158277; 88426593]; [74925649; 48977180]; [4220732; 60385526]; [42808770; 49264242]; [30494307; 40566720]; [59662283; 66620515]; [25473337; 64058314]; [44658460; 7177545]; [59673702; 21421874]; [6181124; 10383997]; [62023224; 3526933]; [42667690; 6397064]; [77476921; 57859735]; [83116915; 28375429]; [90560150; 31196901]; [55006459; 85621532]; [42731238; 27724399]; [22597811; 30476998]; [14400241; 14792516]; [33692182; 29768658]; [87778556; 15571667]; [2449610; 92259265]; [72901441; 94737605]; [76225706; 35144179]; [41283129; 21239779]; [16391452; 28591319]; [47283798; 46934771]; [47199614; 10171025]; [83694321; 2703790]; [7885893; 49297896]; [73810324; 27519874]; [3335687; 18005492]; [34187524; 18338656]; [76044311; 22906916]; [30589850; 98103430]; [25934495; 59625111]; [93299619; 94824405]; [59948696; 40874315]; [1276640; 81252015]; [76598245; 59460090]; [87188958; 96655657]; [79451654; 87871057]; [1420770; 76032938]; [73118479; 26652160]; [7922746; 75253131]; [27231521; 1535742]; [94463381; 76390362]; [46716124; 37047429]; [1750579; 8813708]; [39478470; 43858594]; [83303613; 74787240]; [47344101; 95333305]; [452679; 73474890]; [26929691; 13422310]; [17422338; 64856388]; [40347092; 22284654]; [7724907; 92894969]; [68616733; 71952041]; [50114466; 48318956]; [96629584; 62845524]; [11663168; 34428437]; [59746544; 67894378]; [12697648; 21328549]; [2825035; 94258691]; [74908978; 96118610]; [3350740; 44895297]; [81843341; 21405389]; [17319662; 48968851]; [9445157; 1507648]; [50436156; 20739348]; [42984816; 1038461]; [83041681; 69436153]; [19552857; 10483913]; [66176702; 81670583]; [26089615; 17202397]; [93060143; 87300975]; [67900645; 89492446]; [64149822; 94990398]; [17763661; 60592436]; [20307312; 33549223]; [99619489; 32793752]; [44230303; 56545045]; [45733551; 30779468]; [8594798; 18215437]; [9660924; 23950853]; [49412693; 70430196]; [31345386; 31560798]; [767799; 18642103]; [84131245; 46540198]; [52978756; 22294995]; [16667123; 22615893]; [73111535; 58040135]; [73903129; 79596446]; [46922086; 44928479]; [46526931; 29334658]; [85738820; 65841836]; [74002831; 50343538]; [23032042; 70816120]; [87625878; 15702873]; [81808408; 32404578]; [52667649; 18419743]; [89111833; 5269132]; [12045361; 19500473]; [13506469; 66649944]; [67540625; 2989455]; [17602104; 3620687]; [44377799; 98487303]; [57346209; 10609506]; [70890427; 24445523]; [12560598; 10881649]; [22996614; 57212287]; [20507387; 66609254]; [46727780; 54218429]; [14381854; 9002232]; [89750367; 59262281]; [88531293; 31966565]; [98023631; 1702957]; [98963428; 31346654]; [3070241; 18281949]; [63295433; 55776672]; [46809655; 96306613]; [44939930; 91201836]; [20414546; 98163633]; [83542393; 66648547]; [22458169; 36495975]; [13977893; 63259890]; [97117960; 33571741]; [32952644; 82872236]; [20424737; 88039568]; [80501354; 10871755]; [80305791; 36344902]; [10661962; 94278248]; [14499944; 15379503]; [30164007; 51343329]; [75993403; 99702436]; [90430966; 48591760]; [21849169; 24272281]; [46323448; 60205988]; [93003630; 8608147]; [32554844; 21150189]; [13582544; 97698843]; [88974120; 64140508]; [87908367; 43120509]; [95231952; 59125264]; [34075485; 51842968]; [55353616; 96350712]; [74543888; 56950913]; [2914728; 43613568]; [65285633; 95752906]; [36854450; 48200342]; [85952807; 26830428]; [32506597; 88606821]; [75312763; 5597685]; [41981417; 26130460]; [72319558; 28859578]; [15036677; 36716835]; [8792595; 11960319]; [73713522; 22044337]; [35939100; 98151325]; [22429413; 45359663]; [43610242; 83844199]; [31755499; 72684747]; [63849522; 50186606]; [40394428; 94716616]; [90253847; 3361186]; [17621283; 44755882]; [59781806; 34135742]; [98091124; 14280448]; [99002330; 21925320]; [20406847; 15031737]; [78895832; 708477]; [39058202; 1451511]; [63227791; 2009897]; [37584386; 32731200]; [92756284; 73753053]; [57506122; 28010938]; [50110115; 75355023]; [54869182; 18702517]; [58573363; 80554211]; [10031799; 76159707]; [14114633; 22711436]; [12995584; 47076595]; [76123553; 58875210]; [92790010; 13804683]; [64567049; 12248389]; [83286920; 3631577]; [24089351; 90441406]; [42467355; 33432122]; [79167663; 33685677]; [71582671; 17105585]; [18045056; 22044281]; [98874452; 33550958]; [91018636; 8473309]; [62159162; 9351906]; [9715890; 77264888]; [51714691; 82670255]; [19817826; 28247355]; [61981190; 60182864]; [46222497; 3187872]; [81877628; 74182342]; [58211927; 72818005]; [23182015; 53520264]; [35353098; 86501378]; [76922818; 69146610]; [90876067; 15868878]; [38251727; 81940292]; [76509848; 96964307]; [50650384; 58705582]; [69337435; 45448441]; [68245328; 74243147]; [38287521; 75859748]; [89105181; 58911428]; [82670790; 39654052]; [48798824; 86106137]; [41177851; 71227298]; [11788108; 84373066]; [75710681; 55583652]; [99103955; 69610148]; [38596199; 73247828]; [3797991; 64622832]; [69131818; 90245522]; [40445200; 21661875]; [67913762; 69000022]; [10723902; 75554541]; [3043802; 97556603]; [98907683; 89893634]; [83513889; 1640404]; [22314371; 2760346]; [93963466; 48056650]; [37510273; 64308409]; [17793927; 90504313]; [24290318; 47397371]; [81858198; 81602745]; [46871993; 88530219]; [93186080; 99884595]; [31937957; 10636449]; [88434264; 77390289]; [99684995; 33317918]; [84606601; 54284443]; [34486747; 72229755]; [21807374; 47273918]; [17883419; 31180049]; [45883097; 78530125]; [1974874; 58740878]; [65999662; 62232830]; [21026896; 44430783]; [5168199; 90649186]; [43379761; 46182918]; [26587697; 6846881]; [9196809; 95786941]; [68244888; 83436142]; [63382036; 5578084]; [82882227; 4474570]; [61553589; 97892726]; [84044958; 49446558]; [49745943; 35015885]; [70099767; 71531775]; [94909091; 21149118]; [82135187; 77427696]; [11394231; 81976928]; [18876563; 76316986]; [25735691; 37848189]; [87561689; 81380887]; [12524873; 12509648]; [13696947; 54577151]; [65546389; 19835046]; [68973729; 24810297]; [49362693; 68883590]; [44157039; 35596394]; [56781096; 45910737]; [5061704; 18967513]; [99050529; 11318870]; [57065598; 67056564]; [42769217; 35498878]; [83325519; 86386338]; [32100545; 67354567]; [24967875; 3480603]; [66015662; 30192570]; [79541840; 73227819]; [76103524; 81551164]; [31605144; 40627440]; [39582743; 25400410]; [47504914; 77841898]; [56387402; 10073000]; [27594567; 96970803]; [62549845; 8592080]; [74983047; 51989349]; [10157298; 10945735]; [72960488; 54497256]; [13101026; 60360841]; [30241185; 73908192]; [31484908; 28204939]; [4498543; 79343728]; [32359584; 5849654]; [15427829; 57492811]; [86449603; 67443645]; [29094143; 17461775]; [52225083; 51318692]; [96043336; 33961815]; [84835463; 96913330]; [61149033; 92720143]; [92199869; 69452638]; [2987008; 41542081]; [16754175; 98964979]; [55349522; 79623468]; [64318270; 33440317]; [24037281; 34791870]; [59386540; 12602412]; [91485809; 6080893]; [3630171; 55973296]; [90266019; 34279032]; [83862071; 44411684]; [78485850; 60080223]; [61651036; 89474387]; [88687590; 10113420]; [2460946; 25035354]; [39654908; 70139665]; [25254605; 42243778]; [86360643; 13609759]; [27387426; 76899887]; [40173445; 96393848]; [33550419; 99048667]; [77111331; 30543883]; [43887702; 74632621]; [84081135; 97584160]; [83643359; 26834144]; [9861423; 99894602]; [96501195; 19196987]; [79373359; 7315426]; [53939289; 19425296]; [61319685; 49946445]; [58988403; 84807549]; [70748128; 59261494]; [19315305; 15242571]; [76157174; 19945783]; [44670322; 75890430]; [41220359; 22692926]; [5851318; 42195961]; [47044976; 41240715]; [54218642; 38720458]; [42491891; 53281420]; [22532518; 1934119]; [18783628; 57741102]; [69902800; 86548853]; [23472643; 1048054]; [4788306; 36731387]; [7061124; 85354972]; [75131062; 13447153]; [89328050; 19601063]; [18672004; 97662456]; [31119490; 53965084]; [69894308; 4883167]; [4574294; 45341597]; [5413539; 25971618]; [58663855; 84716279]; [94264599; 93669915]; [60093623; 40124941]; [36013911; 90613590]; [85201223; 99537885]; [76742165; 9684054]; [37562068; 62029062]; [74300772; 73598275]; [93071898; 29775132]; [96506762; 62779108]; [39898678; 20086570]; [79162650; 38547607]; [32544506; 24958333]; [70150571; 75213846]; [92294859; 60291601]; [84111009; 9244957]; [23708627; 26474523]; [9577632; 53742700]; [13738675; 66477971]; [91780192; 81862992]; [91093809; 2369115]; [16726339; 47527921]; [38487191; 84244044]; [38075030; 19703637]; [69788315; 89756048]; [73990447; 28858522]; [15281707; 23354886]; [58268637; 76956218]; [38946623; 7464982]; [17877411; 3976705]; [3197170; 77668037]; [17290554; 10097779]; [85753867; 56537438]; [60239686; 35684709]; [15753776; 47031028]; [83533290; 43783580]; [51465624; 69385072]; [74722875; 16039990]; [88708938; 89790173]; [50080237; 19766403]; [2452833; 66866101]; [13239626; 54192844]; [93823653; 55719321]; [66728053; 5045964]; [60090164; 39887657]; [54749615; 60864926]; [79213579; 94394384]; [74454782; 30816338]; [11115196; 23328002]; [78304863; 62427411]; [11867126; 41616215]; [38425824; 67893093]; [39885756; 65539619]; [33087293; 9944431]; [39043207; 98055067]; [69825760; 52899699]; [4357079; 85627233]; [96470216; 63964266]; [29181086; 47536242]; [93954465; 99172308]; [38726358; 28062743]; [73599990; 21283455]; [22862585; 59643139]; [96565763; 65180760]; [22435419; 90261201]; [68543565; 37145722]; [96013400; 41446992]; [92935194; 21336163]; [87763412; 72231286]; [48824690; 23596128]; [38049148; 44400751]; [15879904; 63951128]; [44081339; 78567501]; [40752460; 90799501]; [75865778; 29316809]; [68488597; 95888434]; [4796822; 84046259]; [29544560; 78705798]; [65028540; 74212470]; [58919526; 57281407]; [89114953; 24601985]; [63364947; 6192759]; [78674205; 70700230]; [39273714; 37681703]; [28022218; 79946540]; [10164799; 41776632]; [38659806; 98454210]; [91644449; 64116988]; [77538206; 15770791]; [74871976; 10841718]; [54372341; 85230596]; [89456589; 96213933]; [65091497; 4633126]; [18262253; 37318335]; [83130185; 47123853]; [32330301; 53452053]; [73051112; 68965512]; [59432919; 52496133]; [66422838; 44820852]; [95189046; 27421369]; [25584741; 5452732]; [49281925; 38606659]; [34446635; 7816183]; [99382811; 89397814]; [46950226; 3437906]; [61969833; 20874605]; [35557848; 64720782]; [12594407; 75446431]; [10756509; 83063235]; [27729283; 88400929]; [92427740; 21921205]; [81701307; 98543178]; [95778263; 35124875]; [74426629; 21039938]; [40488358; 36248213]; [41138935; 95011838]; [3169293; 96000611]; [48337260; 83555759]; [54411556; 85218464]; [45906674; 40646396]; [52826935; 59599007]; [60185877; 82417840]; [2262611; 51033551]; [96582505; 53616167]; [8744094; 10347607]; [46159847; 65522412]; [17297058; 93212466]; [18125249; 17653898]; [92390673; 29552007]; [56148314; 70492690]; [15258714; 41296913]; [86381537; 4199259]; [29663672; 84390598]; [76735022; 28221380]; [45467744; 55521411]; [77015884; 92004740]; [37764601; 92578534]; [62393853; 23140705]; [57197036; 33281438]; [72483994; 62886858]; [83955130; 51437066]; [48319673; 53498148]; [22305070; 65722036]; [9719376; 23062272]; [37522210; 43615679]; [71663643; 33765534]; [37691640; 26174907]; [21467070; 45364254]; [65075105; 38460671]; [11722137; 14126198]; [39983166; 34446281]; [25907210; 34712099]; [7755262; 5200477]; [74125801; 53738469]; [55958364; 93963214]; [83527602; 4641584]; [63118054; 40160662]; [19859425; 20320849]; [18782670; 56103946]; [81221701; 66318556]; [2753713; 4124933]; [82291115; 21496161]; [51028386; 48806718]; [16367830; 57539856]; [99766900; 60868676]; [5040094; 66597715]; [9725356; 16515972]; [30915592; 37157883]; [93810538; 36002913]; [56169357; 50946160]; [7007819; 31494882]; [37687145; 36287823]; [52091243; 97726934]; [72447065; 24207915]; [14102962; 33789067]; [57297735; 47149236]; [10149975; 42907677]; [62523189; 3122497]; [19729232; 51013918]; [26738164; 13522511]; [99092219; 22962095]; [64255224; 44203047]; [5452064; 89639163]; [91706570; 84434449]; [16091773; 84081455]; [6146224; 71444301]; [12142539; 19478676]; [59173604; 32122744]; [5149659; 94043665]; [28090045; 44375403]; [92366821; 44109176]; [32031708; 94482938]; [14939122; 40476053]; [78563072; 54341689]; [71820119; 44177286]; [53761422; 85853238]; [23935012; 57210246]; [54827117; 99033807]; [67446650; 96048847]; [14637901; 44192990]; [7651743; 60365843]; [59961613; 23283404]; [85757321; 33570042]; [63586440; 34936553]; [92016440; 57176377]; [44614393; 20184278]; [96681878; 83360381]; [44102910; 3948571]; [83929657; 9302135]; [72900141; 31275616]; [27025285; 4238907]; [71094898; 79244222]; [47149792; 61848609]; [98036308; 64830107]; [5896369; 20715435]; [31925366; 31277232]; [56953430; 56897047]; [25391598; 81223046]; [95045795; 76958861]; [39839164; 59882373]; [9549518; 1448038]; [36156186; 82723918]; [39530530; 26484987]; [61295619; 36131276]; [75394368; 24155958]; [41966897; 96491122]; [86725596; 57947414]; [73106868; 51650602]; [8268645; 3380936]; [75701745; 82736989]; [29538497; 14197445]; [32020860; 46326157]; [68493957; 55199970]; [85790414; 7568593]; [99921605; 43212478]; [29383857; 79337561]; [70339941; 38995387]; [42985285; 73650651]; [94253371; 51525791]; [22698090; 15327336]; [85178477; 80992501]; [15981204; 26953231]; [29331118; 97530078]; [9074129; 94996401]; [12190425; 75654310]; [78205660; 24339749]; [35548698; 30492965]; [13750576; 60623355]; [37609748; 82814299]; [97588951; 69020987]; [59125509; 35225418]; [40490809; 93969534]; [4637874; 72212182]; [93979863; 38573876]; [45493515; 37635864]; [22241198; 35204090]; [25069180; 40194432]; [87710047; 30776129]; [82320569; 66155590]; [46505736; 99582756]; [24351503; 30679102]; [95972944; 13184348]; [70576496; 7946698]; [34581135; 98459871]; [46033272; 81333925]; [16375804; 99380267]; [4886207; 89433521]; [5690656; 34055206]; [31432524; 54110894]; [75672578; 13284697]; [41768372; 89659052]; [16131603; 4399325]; [37352198; 39443929]; [28814631; 45387756]; [19456123; 23695220]; [27567363; 24432245]; [40703871; 988640]; [99528985; 77866804]; [25727988; 25943456]; [29285471; 87097653]; [16040677; 97647433]; [5724552; 20112951]; [22280938; 98276751]; [30594084; 84219948]; [54012058; 72202592]; [3867044; 9621857]; [74838780; 81208070]; [576595; 55937137]; [30214296; 54330974]; [62305383; 13601045]; [19915450; 72301903]; [96450309; 28328549]; [97183944; 70017152]; [74920732; 37730990]; [89281900; 57362953]; [1295709; 4915162]; [88795814; 17538840]; [31495846; 29414156]; [4100779; 27659074]; [91488541; 1349637]; [76179568; 53785965]; [15982739; 93851031]; [84280427; 66046022]; [13875463; 92846063]; [58769240; 59656047]; [98798821; 26216175]; [25102628; 28735107]; [49841201; 94398053]; [44070847; 51594845]; [25180292; 95581615]; [79284423; 53621615]; [58404614; 8769700]; [96959481; 30284502]; [46226380; 93274493]; [87699585; 36034865]; [24720837; 3851567]; [88246110; 71153867]; [41833675; 7765711]; [59641147; 54946511]; [58622037; 86371744]; [83092540; 77326243]; [95880338; 77326890]; [52581953; 16984179]; [10749396; 84006930]; [25141273; 13467115]; [15240973; 44606133]; [46185416; 40807899]; [55548866; 70075863]; [60876719; 17951101]; [70398450; 94639022]; [19715811; 63921103]; [13522791; 63511614]; [74863048; 6356714]; [96890986; 51876399]; [12542527; 59976435]; [34069097; 72225823]; [73961077; 42510006]; [583194; 39976438]; [80829582; 39311626]; [66287989; 65490934]; [5696288; 3855327]; [70369037; 21727403]; [64152601; 38447985]; [99499571; 16678790]; [39044011; 37356578]; [13958696; 1638212]; [3789404; 27717931]; [89686736; 68894710]; [10020102; 12362371]; [21158041; 68132520]; [17767434; 59449383]; [56835342; 72861764]; [40164692; 53569896]; [56215391; 13064900]; [76867746; 83333652]; [48027363; 95259606]; [24554495; 21158553]; [10196511; 51881676]; [55167206; 46538447]; [27361651; 48938242]; [10014697; 78868207]; [74803641; 62435741]; [79565095; 72690844]; [21349746; 71971020]; [71892185; 35727659]; [29612730; 99312096]; [95334171; 31393638]; [10333353; 49955775]; [46794966; 26816265]; [25417642; 56139333]; [35454388; 22262984]; [99094608; 63309872]; [77486359; 12526484]; [12132367; 20995291]; [35295359; 19814863]; [99525351; 92649639]; [10290749; 59315912]; [58096198; 98059212]; [36687639; 32667122]; [22720684; 7869165]; [62771599; 18052383]; [84939958; 49981062]; [23641349; 24555851]; [78475302; 27868531]; [97584940; 20932935]; [26166323; 26631707]; [95902213; 20931691]; [37898945; 96985981]; [4054103; 32277088]; [81132144; 33424447]; [88950128; 16826919]; [34191221; 75036942]; [23877775; 91998834]; [11955818; 14773489]; [23664992; 75572499]; [76958839; 94151755]; [35186518; 49781836]; [17903083; 1629714]; [33064980; 79071836]; [76846559; 36308046]; [26513308; 37933658]; [62269861; 95962490]; [53869735; 54601758]; [39737300; 22645933]; [85420938; 61265409]; [24564270; 2261813]; [10106885; 42926094]; [59721032; 91342185]; [89267102; 62511520]; [24282349; 37840962]; [54894538; 67578868]; [56842957; 40769363]; [19067788; 4699278]; [5480293; 10632951]; [46778195; 79324600]; [78759648; 7971069]; [7587903; 68894898]; [63550629; 19138696]; [79694802; 9324081]; [28109437; 88164276]; [32883369; 91326134]; [77397654; 83565819]; [48748870; 46618009]; [48412698; 29406780]; [6897965; 22225955]; [89170200; 82360756]; [64740386; 35147937]; [20985495; 32809836]; [79126922; 61240396]; [49197066; 13629473]; [32422101; 47967039]; [13970623; 62380452]; [85668221; 76979686]; [66671052; 99494345]; [32464108; 31148873]; [29252498; 2607504]; [18278952; 22545434]; [58056429; 19151022]; [25352864; 2992116]; [49740675; 4315514]; [73299739; 58077527]; [62586132; 27864976]; [89413125; 19956630]; [50521134; 63691273]; [93401103; 97755709]; [54727759; 16375966]; [91760580; 13399885]; [96707224; 41425028]; [30049324; 21112004]; [74097910; 15220059]; [42402112; 36731885]; [95565643; 50558345]; [23193346; 10156221]; [43022288; 31330533]; [68790022; 72965690]; [67937543; 59150524]; [94895431; 11663353]; [44024834; 4289652]; [35169053; 30159294]; [59586112; 95742343]; [88611494; 14967383]; [59170420; 69418796]; [20806122; 2405885]; [26717006; 22799589]; [16812284; 6519447]; [34424352; 94696070]; [28421043; 55102497]; [24140061; 4534555]; [58353289; 19334856]; [91567133; 14729943]; [1862220; 47476178]; [5975758; 71670930]; [62884768; 69186507]; [97214555; 68130002]; [36804429; 4992804]; [51388515; 5417617]; [88822368; 7040010]; [85220791; 12930276]; [94026617; 6879930]; [95814812; 66949424]; [80524497; 5735888]; [89329471; 60242763]; [98417763; 98502973]; [41464428; 64472549]; [1201106; 66423678]; [45335668; 74321707]; [30969099; 22488278]; [85942918; 71313460]; [12727392; 99595189]; [50117563; 49083441]; [96435691; 98606550]; [63776160; 29820347]; [24778388; 42283102]; [99847546; 28162729]; [13561056; 17376608]; [11439342; 6671543]; [89036838; 15270778]; [12596701; 89416862]; [53261628; 18544746]; [70837132; 15122810]; [70003798; 67125910]; [94641106; 73205815]; [15096272; 92750892]; [37120866; 51576194]; [9608276; 69245066]; [32789321; 90481986]; [26012738; 77455919]; [47053989; 58562360]; [92729621; 42737878]; [26181614; 24190254]; [47445126; 1010460]; [40267840; 26518862]; [12179176; 42200774]; [82658027; 50266549]; [12113808; 42307088]; [81944412; 64432993]; [94346189; 65282535]; [70899310; 17710425]; [58495320; 43611140]; [69970478; 95155858]; [15219921; 25144027]; [69267096; 56101141]; [70820312; 40816320]; [7139309; 37331379]; [70209750; 76022273]; [98417074; 43657598]; [21300136; 64697057]; [91352420; 50052783]; [65790666; 83261475]; [40823618; 90457769]; [52207777; 67230655]; [70278953; 81847450]; [7803644; 24053621]; [915571; 16555786]; [53224490; 99917731]; [38998096; 93030615]; [90433566; 38045847]; [10487415; 79060911]; [97034108; 31120108]; [35592853; 27117494]; [32459791; 80424379]; [11181275; 27109978]; [54540454; 54688991]; [13038313; 66541694]; [42704699; 60385061]; [32027214; 32818521]; [42737955; 21391158]; [79769304; 66197827]; [89115267; 79718986]; [69273430; 35683820]; [93433138; 14967566]; [74282785; 12724700]; [22312232; 83076374]; [95670723; 96380374]; [80769082; 30675075]; [30708234; 84888680]; [66682; 12461964]; [40635614; 26805456]; [15186182; 51949991]; [85331103; 24196184]; [9025874; 593885]; [34121353; 45265403]; [77409858; 84301895]; [77181407; 27127052]; [46699691; 58276813]; [23696369; 49518420]; [44993023; 3082164]; [80854636; 45490275]; [20279675; 43276532]; [96779665; 30897856]; [26343079; 93712876]; [13803049; 14278610]; [75845966; 16721214]; [95441892; 93240068]; [65677666; 90714887]; [76918997; 65190038]; [56642470; 22144292]; [22032725; 13467196]; [76085473; 12671528]; [53609980; 44531396]; [33178218; 59494439]; [17945874; 11333372]; [25971948; 46146469]; [61258700; 33687799]; [90525895; 60567594]; [88242356; 28954356]; [41351676; 84160936]; [80184050; 57546057]; [581639; 14194543]; [56069623; 77202345]; [67573537; 3852937]; [21169716; 4389753]; [86216369; 67321692]; [13361687; 62961030]; [50034720; 5278728]; [21415431; 98501124]; [9984097; 19847326]; [54892475; 14992496]; [49905578; 99773194]; [44423812; 42650128]; [67281833; 44755941]; [24335849; 35569281]; [10654185; 30696219]; [54536774; 50410217]; [45599606; 69768660]; [14187314; 93946232]; [63775369; 30539064]; [27643971; 57858776]; [27938804; 46910542]; [28916366; 32197638]; [8954361; 80384320]; [49266740; 35956757]; [87518380; 51986133]; [94386698; 7739802]; [96684769; 94598365]; [10381522; 86395712]; [57104134; 39699698]; [89608957; 55903838]; [93533632; 59069649]; [48254397; 38251198]; [95821518; 86228952]; [16413300; 11337575]; [81608254; 18016366]; [18216612; 21556936]; [38012726; 98131853]; [19980144; 49568964]; [40093196; 25530352]; [6091651; 88578116]; [31060674; 81842441]; [91700851; 74353749]; [55441245; 61044800]; [57654054; 56061730]; [23274486; 64873438]; [9046695; 64096277]; [42466401; 97351637]; [70525648; 21554745]; [21988455; 40009291]; [90332523; 97692778]; [38460661; 79591779]; [25550948; 76894427]; [14386234; 84315762]; [10029672; 38245711]; [19341723; 40980213]; [60275452; 67026068]; [36942226; 56337256]; [38459790; 1216900]; [30749438; 49268708]; [54656278; 90806442]; [60996269; 34167020]; [62333676; 97908642]; [62862911; 39058201]; [75751901; 42541548]; [23394748; 32484286]; [70435937; 34750787]; [67687431; 6420957]; [11100568; 99318859]; [44449907; 75955263]; [19736624; 39376319]; [97377612; 50407449]; [95917238; 31834374]; [29351860; 25545642]; [66637798; 57589884]; [47478053; 15034610]; [6605369; 41898147]; [98305965; 68109812]; [85790940; 37553284]; [93101444; 45127470]; [68314836; 80085715]; [11408894; 54122680]; [71955244; 43508680]; [2071155; 65724721]; [82204421; 90521394]; [44755806; 10965565]; [86384093; 72065861]; [14756142; 95981780]; [86780141; 91606611]; [14096476; 44653116]; [2379396; 86641944]; [5665225; 64001811]; [61830594; 37993993]; [99609659; 69267935]; [70034857; 61771273]; [13376615; 39129429]; [74638256; 93658009]; [67183386; 96547110]; [64310963; 49948899]; [77538784; 73544258]; [27816203; 92462523]; [17369786; 10363430]; [85394673; 86420628]; [8324199; 60400056]; [78910860; 88121492]; [70342602; 38971489]; [45917222; 86479483]; [77551396; 74772972]; [99128288; 51652298]; [46339799; 5002116]; [39405453; 71375568]; [90676880; 70901111]; [13684246; 52282798]; [49573594; 13756069]; [17792374; 22517267]; [2935570; 5622351]; [25232544; 8469774]; [47389429; 45963484]; [83818659; 34824276]; [60557755; 23817137]; [10066076; 98494116]; [49222632; 54549603]; [70622309; 74088250]; [73463505; 30563264]; [258580; 60655497]; [54172703; 68849425]; [82695046; 82161379]; [41349628; 14468269]; [59194126; 28103466]; [110596; 94399952]; [32327904; 38051532]; [23573446; 6707726]; [54520314; 23876627]; [41616031; 43889411]; [50209607; 50085129]; [17235604; 70964773]; [66185022; 57369245]; [59166988; 75180696]; [78029538; 3764830]; [57342002; 97643554]; [39266364; 71674579]; [88175575; 15288637]; [33238406; 5155852]; [67386630; 96954672]; [61661129; 60075143]; [4979231; 48317656]; [42514863; 21977706]; [52354701; 70324140]; [20169441; 74846370]; [67360960; 21311443]; [26240617; 69634914]; [12027289; 32581567]; [74044251; 131034]; [19866626; 14432271]; [89271637; 2438581]; [50107804; 7007761]; [35647892; 71565794]; [19547614; 4166371]; [7583633; 8214354]; [67449491; 1549631]; [81998962; 22861649]; [45886585; 83646064]; [3219567; 25433438]; [56948794; 43510808]; [80163293; 80540871]; [38118074; 45470822]; [54529863; 4680183]; [31919609; 10953059]; [42516260; 41200769]; [40743737; 59630392]; [6630557; 4713902]; [85806579; 3014636]; [5678430; 48270615]; [36742663; 77083311]; [74700982; 74128485]; [62229321; 58352851]; [95019875; 42853754]; [33414240; 50976038]; [74175508; 70480307]; [82109573; 57356644]; [36607130; 26295460]; [41063850; 74466776]; [2776927; 51087934]; [70764718; 41616867]; [21503351; 34089733]; [89545568; 4517282]; [36789105; 54479616]; [58784731; 78644531]; [70736065; 34332292]; [6336924; 85967559]; [27038033; 32338844]; [64565244; 32349379]; [27267341; 94988808]; [26302602; 22748123]; [61462564; 7418039]; [3170414; 65636778]; [89574748; 77001259]; [94109125; 87828136]; [352558; 44025035]; [56272173; 29685407]; [39859441; 72567900]; [57012909; 22724988]; [99176364; 72475016]; [96409487; 6476264]; [74788668; 80821639]; [12451658; 9581030]; [14082220; 47193476]; [36483559; 65561911]; [35521885; 3060873]; [66077742; 80530078]; [26670332; 19046118]; [58050307; 12377266]; [719531; 54401792]; [24218388; 36382546]; [20435275; 97689965]; [40097140; 50539321]; [75599706; 75010468]; [71767689; 98533388]; [98517341; 12719402]; [90872387; 29526352]; [75252277; 2930018]; [76154637; 54762837]; [49972705; 26572084]; [29016457; 77602725]; [92362705; 49324206]; [99649593; 3953858]; [4297827; 9267231]; [79901292; 71198954]; [72287094; 29752956]; [89520262; 58558151]; [88386542; 87937421]; [85626692; 55171831]; [79857809; 42012803]; [94959847; 99016776]; [37727035; 9863893]; [35720221; 82293396]; [41861012; 90352920]; [54441246; 27295657]; [14308174; 80874894]; [89447047; 72811426]; [28717759; 31544144]; [57420062; 80148026]; [11036354; 57412905]; [90628669; 45086770]; [24496473; 57332125]; [63333667; 42627381]; [47560937; 20398846]; [50838430; 39206833]; [92448144; 28813985]; [25649450; 87530621]; [97816237; 84240516]; [75054287; 62766401]; [99032260; 41000108]; [41028925; 95427326]; [51137039; 70472915]; [57014957; 24028448]; [28843118; 27921583]; [84046971; 99615111]; [40506228; 38298220]; [95228470; 80196609]; [2556558; 4069231]; [51769442; 42494134]; [70547899; 46071882]; [97529118; 24759204]; [17739434; 593199]; [70422293; 12379386]; [23483342; 75762874]; [93205968; 64374216]; [59770372; 80785570]; [5270589; 59679487]; [14601409; 95872397]; [52675514; 42967654]; [76101047; 63193055]; [2552209; 48871974]; [5159235; 37045027]; [80934428; 7112381]; [18356426; 11546319]; [26709875; 86382479]; [94454533; 44515007]; [26379029; 14916730]; [85480297; 68959869]; [4070399; 38716377]; [42232614; 23753712]; [52123156; 7746164]; [22258273; 73996797]; [81892519; 94805302]; [2337860; 78546446]; [57896828; 22768801]; [98339930; 12393543]; [15590757; 23088262]; [33069324; 80295477]; [95514589; 9273286]; [85934103; 32167721]; [66597620; 40932708]; [68678952; 11499061]; [62846366; 99312716]; [34580536; 32349808]; [82350322; 43964253]; [14541780; 61527615]; [47886603; 10496397]; [679591; 60450733]; [63313441; 84575800]; [59764585; 85617376]; [34561854; 37138169]; [94371318; 70006440]; [52520103; 48571877]; [15276200; 42356454]; [43318600; 94138755]; [2605058; 70435912]; [2456233; 76990100]; [23061169; 45158610]; [48324170; 89514490]; [56438238; 87535373]; [30384642; 13200071]; [84935899; 69798678]; [51640574; 3819783]; [59474342; 90824860]; [45990232; 6028561]; [41404340; 76906600]; [74572559; 1675564]; [57928421; 73650601]; [89721352; 48595070]; [98757851; 21397285]; [33194946; 25329815]; [38290870; 63562434]; [84012666; 72508663]; [62253200; 94930210]; [58804156; 13335103]; [93951063; 9432585]; [76761119; 11817192]; [64183388; 53324212]; [1616058; 82655182]; [55730976; 85899686]; [19600194; 32022823]; [8734095; 73429046]; [45688141; 89757718]; [91582361; 32575195]; [18768283; 7309735]; [82416440; 23510043]; [89238; 86076548]; [39754125; 48768109]; [57469274; 82453979]; [80132300; 26861679]; [24708904; 87267078]; [54165258; 32382698]; [59362103; 8128321]; [74350820; 56692738]; [36369082; 38020918]; [61394400; 50519728]; [90686750; 62765470]; [54322652; 67207609]; [18874152; 91985811]; [41099975; 61183790]; [83734906; 68816148]; [66883498; 6952612]; [8884957; 18972901]; [15410096; 2597854]; [53840904; 26588973]; [82970090; 2136657]; [96885168; 79044228]; [31666704; 55813514]; [49206221; 37506273]; [78344986; 76094329]; [28207138; 94663807]; [9782222; 11713424]; [71119527; 15124143]; [79904016; 36632126]; [44259563; 72463598]; [3317729; 79520541]; [84379448; 35518775]; [66777988; 82201096]; [36304837; 16507551]; [36970191; 85001857]; [49965898; 36371373]; [4018926; 6240643]; [28946620; 53425682]; [14007159; 1813164]; [5688343; 96348695]; [29415807; 8464645]; [71702701; 17239973]; [73575956; 40303757]; [81757595; 92329933]; [76793448; 82789777]; [32354765; 51118822]; [36689246; 36903746]; [18271822; 30271389]; [95691233; 88511752]; [54068749; 79186529]; [67794810; 23339233]; [86863188; 76030091]; [3631132; 7860151]; [19320268; 63882689]; [5492146; 66447350]; [32481066; 68574480]; [43680186; 65247059]; [96924858; 54907630]; [13873360; 76132583]; [89602159; 29272488]; [13211091; 14497157]; [86676058; 64638879]; [35701467; 40639403]; [13197620; 76977492]; [56364928; 83184344]; [20510246; 62867299]; [75437123; 25961278]; [12887715; 10525008]; [27678463; 57674917]; [58078504; 17355202]; [55385404; 50950295]; [12803383; 37037315]; [31472005; 4542409]; [57695744; 10868724]; [10358688; 88385416]; [37492464; 15316061]; [92890241; 71503872]; [36309231; 67760441]; [32087841; 29229162]; [95904972; 51540969]; [10375297; 27115928]; [42431507; 69033038]; [26482583; 32631190]; [47468846; 51152733]; [42240390; 60551683]; [72561589; 11607026]; [58847517; 60029368]; [17067418; 7038480]; [99611261; 34030184]; [81096538; 83470467]; [54702309; 75696977]; [37651473; 81017492]; [74000298; 24525618]; [83327323; 20641636]; [48192435; 8744896]; [89053867; 35390646]; [38922301; 52593211]; [96480845; 30009029]; [84918001; 10361958]; [76658195; 21844395]; [35905632; 87686551]; [87911341; 80868793]; [31943716; 88072590]; [27581723; 24648761]; [32439823; 72712349]; [18555600; 41490647]; [90947294; 30627855]; [18536989; 86712405]; [48203105; 8068734]; [88132695; 36378470]; [77577100; 81609265]; [8582393; 44435040]; [78296909; 48785637]; [6005941; 51614880]; [60823708; 36341727]; [82648815; 69601261]; [42798222; 57776842]; [54519027; 84738541]; [45440475; 64653806]; [39150618; 86065182]; [50079074; 86390437]; [57005084; 77260434]; [36172076; 72935712]; [33883937; 25392969]; [20370957; 7185338]; [34342072; 84504678]; [26995073; 95911436]; [60617301; 11996737]; [34585848; 85990807]; [57004034; 15683944]; [22330927; 22362878]; [89008818; 93076540]; [97623037; 57594981]; [39101682; 9901728]; [81652955; 81270843]; [14542090; 53112996]; [77219956; 45428881]; [47037292; 53303856]; [71118238; 38857440]; [92338033; 4752990]; [81489652; 11163772]; [21082933; 48110252]; [24427848; 52202324]; [80895061; 48712468]; [71162078; 84558521]; [16171097; 79270689]; [14257393; 65895963]; [27319977; 72062131]; [16800709; 21659295]; [39058138; 61569734]; [54947379; 88509679]; [11857411; 99814365]; [85848885; 13514590]; [36137628; 63349788]; [73839963; 76095732]; [54926067; 55148049]; [68440969; 23372593]; [26827087; 39542864]; [25183460; 40146888]; [12267902; 4481871]; [8380601; 59168825]; [9746454; 79555430]; [9294295; 20913517]; [59347229; 83568217]; [93156217; 14178226]; [54742217; 38841260]; [42765707; 9004263]; [33399760; 1432227]; [86481948; 65105049]; [18201948; 48298604]; [41335458; 55384002]; [30492258; 58884231]; [28045116; 17506965]; [82957888; 47814968]; [69273467; 28639815]; [48575706; 3087582]; [37940272; 55478205]; [587143; 65533103]; [57884188; 80825218]; [16797955; 1359496]; [7725903; 87377579]; [91728682; 26293826]; [8427190; 51168023]; [5663559; 92729396]; [31094960; 1925844]; [39260462; 43025849]; [59266568; 69339192]; [64517460; 39143074]; [77086788; 61443104]; [13041448; 33735013]; [20763852; 73748509]; [71777149; 57506345]; [18953354; 66216353]; [8827221; 51904563]; [55234988; 28365493]; [24994384; 40444334]; [48672166; 77576667]; [99301797; 6429707]; [17592256; 67920395]; [96384700; 2546685]; [46701868; 19901827]; [22655095; 78889458]; [33951180; 5845768]; [90931235; 660013]; [2734902; 40814001]; [79331785; 99329066]; [63106329; 37490115]; [47831134; 50775943]; [66303854; 7505700]; [86167734; 4885168]; [19297734; 56768908]; [61306104; 20055683]; [39237575; 6945152]; [46245982; 60135082]; [50644461; 87495184]; [73912653; 41907605]; [83172591; 41190904]; [74984472; 19257546]; [95755877; 50320334]; [46209882; 4659839]; [78014049; 66758063]; [18050344; 55912499]; [78909024; 69469220]; [1563274; 20639568]; [72617081; 46379813]; [52045814; 13267117]; [59308967; 57720695]; [72627727; 46848976]; [11641773; 23876119]; [8325887; 8591816]; [35258140; 11680120]; [62483360; 89854041]; [19901274; 6774804]; [1843616; 70530030]; [47199393; 73732471]; [30263263; 16320838]; [481831; 65735794]; [46667995; 47188790]; [64885522; 84851383]; [9130735; 5679496]; [5393515; 92305551]; [88884684; 84755977]; [64078109; 52970054]; [88562525; 49618615]; [46498025; 14038038]; [16819258; 96651957]; [42267869; 43178343]; [40701641; 11124919]; [65408488; 11207229]; [22131593; 70566872]; [56836433; 91288021]; [90354154; 19503469]; [69169495; 55138943]; [64510195; 43940519]; [59943379; 55814811]; [82628649; 13965432]; [83888290; 16357959]; [55107544; 28616789]; [64551301; 38799143]; [37290687; 50259482]; [77253055; 76323166]; [13949889; 68556532]; [74162740; 9892498]; [62906955; 9734192]; [75701073; 68400296]; [79819101; 33253327]; [68028186; 61875209]; [17092081; 41970417]; [33265657; 30563594]; [64197471; 60229891]; [81840383; 2816425]; [74260360; 45696076]; [84648370; 27166026]; [94543178; 64741535]; [39342540; 59363088]; [33144655; 45028915]; [42073122; 26651983]; [85465807; 23656924]; [81751287; 52437151]; [81347090; 9011656]; [41921602; 27888774]; [22357416; 81924667]; [87048063; 54535554]; [84937885; 64800961]; [42240083; 74417939]; [10851994; 890208]; [20185750; 9687424]; [47757617; 19777848]; [73806512; 25732346]; [34421649; 33359286]; [17060510; 54841908]; [2260516; 26449429]; [98207298; 21786393]; [58094481; 54251058]; [74928493; 616827]; [86093245; 94753648]; [65456429; 26270089]; [83494178; 60700983]; [51201833; 84482962]; [12584536; 92465186]; [59447245; 14578868]; [91138101; 50437322]; [4982692; 73474445]; [83677341; 99069817]; [74213568; 35110980]; [73522570; 78675774]; [98805457; 65799316]; [61160807; 71381783]; [59852152; 32427345]; [48392411; 97961863]; [65164319; 24022978]; [49683144; 97849020]; [18826167; 53123037]; [62071202; 23679815]; [78937242; 35237197]; [67576693; 42340419]; [58594359; 50022937]; [73376335; 26318372]; [35645886; 14325697]; [26940911; 23020310]; [20287774; 9729620]; [55209362; 55080397]; [43440524; 79380030]; [21519318; 91492994]; [83183950; 53743704]; [8243721; 54053995]; [97464290; 91751600]; [91490295; 18183269]; [64589127; 14467946]; [95256338; 6813038]; [71501396; 34689141]; [27439157; 5529798]; [40438978; 66582540]; [6068288; 37109179]; [76101867; 81713804]; [49052501; 16830729]; [24229181; 46183787]; [24085024; 6911431]; [59559812; 42835365]; [49101891; 90606945]; [32232145; 73995298]; [83298928; 70656071]; [91071026; 37435900]; [50648758; 41591065]; [1100609; 78648091]; [21067993; 65233524]; [90881376; 19011513]; [49142983; 78183739]; [32137722; 39187113]; [55097479; 65174492]; [50711375; 71396243]; [8368744; 53113585]; [8983258; 78684707]; [85203285; 13607478]; [72832956; 27068964]; [98809810; 1732400]; [96647444; 60376172]; [99708783; 14995228]; [4669039; 53682913]; [99693701; 50965516]; [1242048; 40846795]; [85980145; 35064481]; [69264876; 33718458]; [9406948; 34366335]; [16705954; 51564163]; [80578264; 97566424]; [17450269; 6659704]; [5313967; 36141061]; [5188475; 64354495]; [48311187; 79153066]; [86922339; 25837656]; [49365672; 96351823]; [48193028; 51644349]; [42017837; 20097398]; [76569187; 9129380]; [83634081; 53855791]; [71998241; 16764170]; [93857098; 82462698]; [28290664; 98722374]; [2462460; 30891441]; [31081713; 61387953]; [59238295; 1542914]; [60362545; 58401226]; [19892220; 43506546]; [1290460; 30170570]; [86539587; 76699007]; [68861415; 31148114]; [97464238; 70413034]; [94540830; 94594179]; [23906710; 5877220]; [95298440; 55511816]; [94185133; 82638906]; [33294699; 25748954]; [10067165; 69477663]; [32502646; 6049933]; [10914449; 35917447]; [43209668; 9929693]; [87270909; 57409463]; [6862258; 7554125]; [91835575; 69732146]; [50397447; 26703645]; [56356557; 9329182]; [93247228; 22197839]; [30142071; 72806900]; [71800663; 94157608]; [82512005; 90174636]; [73542025; 72566956]; [55504442; 65524064]; [32692962; 82838202]; [69368227; 84564375]; [4736257; 68705054]; [66356070; 72218374]; [17510853; 96300926]; [364494; 22281521]; [87580756; 33281515]; [34184742; 97912421]; [80212322; 70402664]; [97437722; 44345330]; [35992514; 19515835]; [6628217; 17361142]; [21691403; 79826071]; [15429274; 39923351]; [723535; 14519307]; [20266923; 5759314]; [64372248; 56700558]; [8462349; 96915797]; [87948563; 41584073]; [87522560; 85769935]; [72221150; 69896915]; [59123065; 69800991]; [68445490; 99100874]; [76038373; 76693697]; [9861374; 14093731]; [71964932; 66597870]; [26099051; 34206369]; [89282491; 1641231]; [94720472; 84608824]; [83699834; 27518912]; [76084074; 11664465]; [76627979; 23196289]; [19654641; 77116751]; [43945058; 69984971]; [69091352; 21124845]; [66842474; 73368206]; [84315000; 93288500]; [39207242; 89055649]; [61558630; 91071187]; [29448807; 98615722]; [24391920; 5571865]; [54446864; 64939152]; [17584635; 90848866]; [39697843; 58892004]; [73308847; 16963462]; [14523138; 35150737]; [93851226; 69441211]; [67362385; 9008820]; [2584527; 59391265]; [43015791; 84734780]; [58615473; 18565522]; [4707656; 35287220]; [92621655; 570253]; [18865490; 47038897]; [67607859; 15440772]; [3019921; 50784485]; [67133497; 64980913]; [31759088; 93575181]; [20076106; 83334857]; [73727815; 93174845]; [84924118; 57131141]; [38955552; 92609676]; [85841599; 56655640]; [35137042; 92367841]; [41750120; 79962675]; [28594411; 4479527]; [20032601; 76282050]; [3802653; 2179830]; [60617440; 41430803]; [45856334; 26736748]; [64513761; 76229783]; [45649947; 88373253]; [1755658; 35259178]; [79072203; 90916580]; [17282776; 15157907]; [89063419; 19630239]; [27591569; 55194365]; [94286260; 65466613]; [88526025; 43034542]; [24441915; 97652500]; [61479742; 78961650]; [76802383; 93159630]; [41247856; 63053049]; [90836279; 52823485]; [7291252; 5637180]; [83064608; 72076432]; [85532585; 83196422]; [76080568; 78394739]; [28600928; 45841136]; [86956765; 2220103]; [27613084; 75291755]; [47451491; 46168348]; [5449306; 2744852]; [46374763; 27670860]; [84120552; 51727630]; [73142586; 77469006]; [98411469; 25899691]; [83689061; 26778265]; [25718618; 76039477]; [75361283; 45950896]; [58425195; 5693420]; [60735773; 42359112]; [18750164; 81094281]; [94073347; 89856553]; [81293442; 46949851]; [73729615; 55728971]; [51437881; 89989083]; [57856327; 37772115]; [26227981; 52496541]; [91144846; 86331362]; [36098765; 66338188]; [52896048; 5388639]; [86087407; 24455054]; [76498748; 48416802]; [51656304; 27415104]; [72975774; 71309712]; [28738193; 22120611]; [53572142; 9924381]; [83595051; 66368072]; [12799066; 55015747]; [16252521; 8678368]; [95268194; 25240776]; [68617815; 9098272]; [20486510; 24268300]; [35219534; 51689866]; [68544459; 12434503]; [54033334; 7683757]; [21770472; 34086587]; [35712; 25271652]; [8685837; 82884213]; [65480831; 31691914]; [99666170; 10920873]; [58003211; 89303362]; [53352512; 79486998]; [18472971; 15396487]; [92328284; 33300171]; [74723197; 43912935]; [11578842; 29660253]; [24157939; 44128279]; [89657130; 55681147]; [61719866; 21258559]; [9377526; 61057301]; [15629708; 15346391]; [20564181; 50041524]; [10366898; 43889034]; [86119114; 89462643]; [95646101; 76809185]; [67803920; 30977520]; [93426379; 4150889]; [83976343; 75766485]; [19376624; 75581241]; [13793478; 66210108]; [31006410; 46353812]; [59870188; 55997802]; [84124168; 21931236]; [98500761; 53142107]; [39164463; 58273833]; [86476454; 62516798]; [87815372; 84466569]; [85781338; 67307140]; [74373331; 75072723]; [39129353; 12331657]; [39337294; 13645497]; [14089862; 29298468]; [55696276; 69370905]; [77562640; 54473169]; [2571635; 44728786]; [77192529; 21527729]; [47415937; 83219742]; [36293430; 90237220]; [9484665; 25374874]; [80421390; 48787666]; [46567787; 77610501]; [63956177; 36645150]; [48973604; 78962360]; [94041935; 30315834]; [552884; 53039064]; [45079153; 71224924]; [64910822; 9185072]; [43157964; 52619983]; [98207576; 86792984]; [33521690; 53052078]; [4983036; 26568331]; [44369601; 65283740]; [23880275; 92589339]; [29890041; 41898183]; [6662198; 77046321]; [27719486; 23440154]; [86306046; 74179351]; [6921085; 77342819]; [90104150; 67304138]; [99673983; 97869711]; [48682750; 93637486]; [81458838; 49255336]; [34446508; 2556495]; [69378683; 9939445]; [14362784; 46250936]; [86751565; 32495754]; [78808982; 66381650]; [93586584; 73184440]; [99144102; 43177657]; [31218258; 40121287]; [2180704; 75730088]; [59884704; 70959684]; [98342183; 86892575]; [51391719; 59668100]; [6785621; 9736505]; [78154818; 9822466]; [77706356; 16245736]; [83114912; 183384]; [59700086; 13963881]; [53946470; 56818069]; [26801549; 54133486]; [51895382; 17668912]; [1026186; 87345899]; [18626488; 86819964]; [45994800; 26091756]; [66892212; 1208978]; [63964480; 94881851]; [23586495; 83187746]; [66973062; 70474368]; [23704466; 98738212]; [69539156; 53546852]; [49711771; 16435013]; [65349150; 49323110]; [91179538; 72381646]; [11488018; 76888565]; [85631896; 37632475]; [1862486; 66430668]; [67785563; 3737014]; [87974494; 10664878]; [80973150; 58948231]; [88404261; 93426923]; [46951699; 47576270]; [64605029; 36144228]; [53166521; 42969319]; [43230060; 5051534]; [46412003; 391222]; [83031214; 98529793]; [64790149; 45588584]; [4106037; 21467737]; [9987611; 3904181]; [84891811; 19310402]; [59032926; 84409247]; [69298; 55127496]; [42237049; 30218015]; [82959247; 65577739]; [25171927; 67058693]; [43070474; 42745550]; [80132421; 76303142]; [87722893; 19645778]; [64334174; 7418701]; [95247709; 43503350]; [30506072; 998026]; [86779046; 69157472]; [7790906; 27256479]; [82472963; 47305652]; [65464327; 30683255]; [89993546; 37752644]; [60801148; 68680317]; [94500928; 80714431]; [86257831; 88945956]; [50760024; 20508963]; [72393018; 97527871]; [92026420; 16263403]; [68019154; 36878062]; [84282247; 15294804]; [99909855; 27985206]; [35033672; 53808484]; [26651412; 11771721]; [33351868; 59228290]; [71587401; 2169408]; [5820185; 14716536]; [67688550; 39296256]; [12825105; 77780771]; [84338180; 76563195]; [67392137; 19892977]; [29089770; 4484504]; [7009899; 3048328]; [31933201; 9308712]; [59613992; 98408384]; [82872396; 40548284]; [87534816; 58495988]; [33505140; 77724342]; [64792517; 75917134]; [41495770; 36523869]; [62964483; 93202774]; [21790190; 3316432]; [73958790; 79722837]; [8885265; 57908468]; [56002271; 75386755]; [68003841; 20704558]; [75786335; 6291942]; [5389524; 325975]; [91959652; 48024862]; [85892237; 37527584]; [51227626; 68903679]; [37617307; 23881996]; [88935797; 18436003]; [27996983; 62709767]; [45874324; 43257057]; [14691123; 94844253]; [52671822; 6591698]; [99348083; 51528520]; [29508087; 77055220]; [23942172; 49810487]; [20084527; 12276071]; [2300208; 59922380]; [44777807; 28036503]; [76943861; 45476049]; [13131244; 13655739]; [99014402; 18325803]; [93035908; 90635757]; [36338500; 80169420]; [63205951; 32706363]; [81199816; 90988617]; [75064786; 57557326]; [19756776; 97361847]; [87172160; 69349152]; [69011009; 77853806]; [56752878; 62210750]; [31289010; 3437624]; [33139871; 16694891]; [20268939; 4262365]; [31191509; 7646973]; [76899453; 18851149]; [2560446; 64452318]; [73040893; 40381233]; [14778178; 93840056]; [54358517; 65669022]; [18047017; 71597928]; [757490; 67181881]; [49157804; 27646765]; [182402; 25551008]; [38872771; 84962667]; [84350019; 15613411]; [77861713; 15967031]; [16755027; 19214783]; [69148159; 95481844]; [20117469; 63840662]; [96088824; 64653689]; [55267995; 86031904]; [99408227; 61001570]; [21140119; 69349279]; [73771930; 85546478]; [68802692; 7764915]; [81605953; 96717476]; [21421466; 8691514]; [39502067; 1203615]; [50848761; 47748589]; [99178703; 31513656]; [57385230; 55869644]; [33887856; 15631309]; [21793969; 86966757]; [30517871; 24866305]; [47493383; 91699516]; [63274313; 95797557]; [93755131; 88950586]; [93611193; 68969034]; [93665976; 44052372]; [45064872; 3888382]; [96351090; 67866211]; [56911366; 6769679]; [69597832; 36822210]; [99594973; 81587037]; [3643540; 72488254]; [64601457; 52080911]; [91874169; 7096618]; [88059074; 12393443]; [23112956; 1061449]; [13220068; 87575267]; [81556224; 90290333]; [68483041; 46072934]; [80692781; 5206426]; [98348058; 18001918]; [17508337; 7334323]; [50572009; 19928439]; [2741479; 71267956]; [65623241; 7687156]; [42452024; 40961282]; [55344212; 46016373]; [91583710; 94974218]; [67738998; 78271208]; [31416058; 39081704]; [58977054; 32997125]; [45474177; 30239926]; [85768640; 46951155]; [40559541; 63672312]; [47773255; 18358273]; [49664912; 78647320]; [67904097; 65066633]; [13100939; 37348547]; [78616335; 86823530]; [53821757; 75051374]; [95691597; 21026430]; [24563345; 60477441]; [21853224; 20014146]; [51497650; 37028200]; [13107379; 75476397]; [31778714; 62059507]; [68325921; 5575643]; [31471898; 64032540]; [3144050; 7621880]; [16331427; 77054642]; [77534137; 57619906]; [58120863; 59335477]; [91845376; 8814261]; [7636536; 91091059]; [26154804; 46075727]; [30256468; 86812860]; [6496998; 85315507]; [28150103; 82032468]; [38618660; 20764176]; [57961813; 50963441]; [61317560; 89917636]; [88552920; 57863128]; [90907208; 53500414]; [10571199; 58861212]; [16728181; 71657207]; [21483873; 50635357]; [99143307; 91093952]; [79366481; 36287852]; [38385852; 69516756]; [81250374; 47937197]; [62754403; 36735674]; [56671788; 93291554]; [42611920; 41905289]; [33340764; 25513050]; [69687163; 8189918]; [10172611; 95140018]; [57947566; 54994402]; [9960745; 86385880]; [62946526; 21388726]; [39116230; 556157]; [70140548; 43038118]; [7670324; 38132170]; [77376372; 99448886]; [28718761; 44673957]; [51361529; 55648974]; [27361859; 57821843]; [98340175; 5805775]; [14569928; 87067148]; [14748707; 41807192]; [6060786; 57981576]; [95403290; 71717106]; [51980050; 19525581]; [99465960; 76161558]; [49447594; 7197770]; [86766317; 60974013]; [12580376; 4026929]; [74846924; 74430772]; [27529691; 11187182]; [6676450; 1802268]; [80767663; 13351906]; [91422126; 83267398]; [27246718; 37837681]; [63431322; 69582637]; [86265950; 12942440]; [69499399; 30028096]; [70378551; 14132124]; [67993524; 11576861]; [56245594; 26848227]; [51098443; 5921304]; [73823769; 56593688]; [32832189; 68680209]; [94445905; 52859880]; [57092113; 62859535]; [12023007; 23134076]; [20344675; 66693832]; [20421148; 95327387]; [40002084; 97522096]; [60868048; 50238189]; [6775281; 11601174]; [302471; 49873610]; [75262444; 26327455]; [12322463; 26767004]; [86184544; 37177835]; [5269700; 14575096]; [46389612; 68304493]; [31658132; 46278844]; [9269063; 72157772]; [78932045; 29129260]; [75792163; 54980371]; [56158034; 81146556]; [45473159; 36407102]; [3236081; 30425025]; [22480129; 23150153]; [67257091; 98386140]; [32855073; 72265555]; [88705651; 50716943]; [44725425; 15333746]; [22304811; 51972885]; [52856263; 6292901]; [70747972; 43224465]; [38453514; 436198]; [53120856; 66116029]; [92083767; 57792732]; [17742677; 65698131]; [22608481; 95453682]; [44649128; 11558952]; [25687423; 92614773]; [49144884; 33370430]; [47272588; 1629795]; [18552848; 93259459]; [8975254; 1636527]; [72864278; 68645758]; [4485951; 1214177]; [72122447; 34593915]; [36695112; 14676349]; [14858205; 73101892]; [92920137; 73483253]; [41859706; 99779383]; [68540066; 15039831]; [55230015; 63182484]; [86448320; 81682283]; [59718207; 96327082]; [50298568; 2392452]; [66591194; 38635188]; [70401096; 32742447]; [41742801; 48560380]; [90161407; 88574813]; [70177611; 30722231]; [61830849; 85735007]; [13637518; 11826173]; [48728797; 73461684]; [43982817; 74939267]; [58163234; 81834732]; [25008632; 37958724]; [64875733; 31118548]; [45070497; 53512710]; [9876227; 22180618]; [3307420; 30698654]; [95623970; 38325188]; [53516204; 5322059]; [60589943; 46897276]; [55630736; 32698402]; [13452929; 17405675]; [73969590; 69189528]; [36754306; 60297246]; [53679322; 57216911]; [48001197; 13471204]; [20241368; 26878968]; [6231633; 72275212]; [89696196; 52742781]; [74911552; 91555573]; [82699004; 92526157]; [92041127; 46875010]; [92184249; 20247283]; [33360541; 66215513]; [74944461; 77377290]; [11668117; 39191797]; [85388062; 78317907]; [19599480; 96460809]; [28383390; 61752494]; [17594336; 27339964]; [73654080; 17828816]; [82580475; 71186741]; [66256215; 58468639]; [47624914; 27796412]; [39469396; 58301830]; [92561535; 75474447]; [59453063; 82022571]; [75216065; 34792883]; [6301440; 20628880]; [68344187; 55036897]; [86921246; 48627553]; [34235786; 53605225]; [45737895; 41127545]; [39622346; 92243965]; [8168172; 97099451]; [16073550; 88004660]; [32106914; 93624138]; [9264970; 5608105]; [83265125; 89076657]; [72257744; 92570509]; [35914873; 9917010]; [1288963; 44655011]; [6195816; 30905932]; [12042860; 65922559]; [32878699; 80170140]; [25491204; 32495162]; [45437837; 57677464]; [54946756; 61131257]; [79268548; 47583166]; [99441850; 45440212]; [55122239; 86350267]; [88005110; 79368649]; [5118548; 89063792]; [26495074; 44029509]; [14319595; 65525597]; [88237951; 49903359]; [96457788; 40427821]; [40316028; 89613330]; [15162864; 51977465]; [50622078; 77553199]; [90721901; 93779548]; [66415687; 73366633]; [94299386; 85878480]; [99134381; 4865229]; [28034281; 22521748]; [99293145; 94388734]; [16736736; 31930406]; [96923445; 6359492]; [42248040; 68301656]; [75410698; 95658659]; [30233083; 96404826]; [84597401; 59336974]; [71609814; 65078077]; [6734637; 72755834]; [86708636; 20947712]; [60746213; 5837810]; [69641308; 80059474]; [35466681; 44170282]; [13195644; 95383681]; [95450326; 59709085]; [15755922; 11418962]; [82189927; 12231129]; [22319624; 43805125]; [28741682; 51013484]; [56841463; 20949154]; [71990773; 78029668]; [26360683; 75028010]; [22903985; 15428246]; [16110843; 80530410]; [17243183; 54895056]; [96794250; 99601021]; [21143956; 58422305]; [21771829; 78350747]; [49474098; 66789959]; [88242770; 22988960]; [2677802; 78807150]; [55930409; 12592343]; [57615526; 76706509]; [20842957; 2850549]; [52972139; 15485572]; [32249617; 96002356]; [49795451; 89159739]; [62465997; 16718088]; [4665853; 32681124]; [71685767; 44273178]; [61111784; 48299085]; [64473571; 59231211]; [72692263; 17908762]; [42460178; 46658691]; [3520131; 59758341]; [30535849; 26539785]; [94933263; 13290173]; [73699538; 74782324]; [32459781; 95420831]; [25271052; 19066704]; [79354664; 8669482]; [42493249; 48578500]; [6717681; 45514361]; [56346460; 81160838]; [21270182; 94145342]; [80804023; 59917057]; [2461625; 47681856]; [58251435; 98581759]; [49778691; 3576487]; [74084; 5519503]; [24425545; 33963596]; [38269827; 69134584]; [95808982; 64983707]; [81307228; 80433928]; [40785530; 19953394]; [38677514; 22856588]; [67236979; 61210085]; [10095198; 83149022]; [28850886; 658843]; [41513690; 89541520]; [32598603; 72866825]; [20177299; 69706518]; [44039075; 71253379]; [72859137; 84891934]; [90425473; 4587383]; [99099413; 10610567]; [51221966; 3927480]; [47501128; 3575229]; [63105846; 47374950]; [23129020; 28368285]; [87008728; 60797760]; [21733719; 78559354]; [27520099; 29115252]; [94913146; 69782631]; [52056176; 38595752]; [43005088; 60679882]; [82466453; 35933971]; [30699907; 84715986]; [5540108; 77492055]; [69846137; 96534045]; [56960349; 43343024]; [84590669; 5039987]; [52525891; 20182929]; [96306317; 21102179]; [69213879; 16674771]; [17056381; 16633402]; [53366634; 9725554]; [94926649; 61036302]; [99663803; 85444913]; [75097296; 54291473]; [2411918; 17592968]; [65347758; 8731960]; [74987207; 73547097]; [98932111; 86547429]; [89201291; 7233294]; [92880348; 76797426]; [34502365; 79268694]; [65413595; 26867901]; [59533158; 60317165]; [22133944; 1558889]; [22776548; 40895063]; [28034909; 55742555]; [52324840; 60916986]; [55209960; 17049583]; [49766671; 20936130]; [33162313; 31115678]; [84569131; 48936814]; [3970176; 8150357]; [46161418; 68737788]; [36340037; 26955859]; [55150307; 17550440]; [53828037; 11688406]; [149663; 78753373]; [69926805; 11448242]; [12786404; 84321383]; [3755061; 90921596]; [99954044; 62554825]; [25613037; 45076192]; [90876717; 52382648]; [71723818; 89767718]; [65379912; 6011264]; [69969258; 31545208]; [45547876; 88715738]; [74212211; 58164751]]) + +let test5 _ = assert_equal 0 (minimumDistance [[13431165; 56816431]; [59650469; 63432691]; [11516284; 82052279]; [69127793; 24278477]; [28709314; 27109596]; [71696668; 26482486]; [99571764; 98547363]; [31818454; 72298459]; [9343014; 86637163]; [36636574; 80106036]; [29685178; 67539976]; [43536555; 51271970]; [29041552; 31522528]; [97063429; 87631164]; [35550745; 5517425]; [22225498; 29986050]; [91303789; 45418689]; [84454961; 52320044]; [60489297; 63681784]; [45965332; 63279115]]) + +let test6 _ = assert_equal 0 (minimumDistance [[26; 26]; [14; 51]; [10; 55]; [14; 25]; [30; 59]; [88; 30]; [80; 93]; [8; 81]; [16; 47]; [13; 38]; [62; 84]; [33; 66]; [66; 17]; [90; 58]; [71; 24]]) + +let test7 _ = assert_equal 0 (minimumDistance [[100; 100]; [100; 100]; [100; 100]; [100; 100]; [100; 100]]) + + + (* Grouping test cases *) + let suite = "Test Suite for minimumDistance" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimize_manhattan_distances/scala_tests/MySuite.scala b/minimize_manhattan_distances/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..c7b553a99ff7b5a9778cf8b610aa4edaa00e95b9 --- /dev/null +++ b/minimize_manhattan_distances/scala_tests/MySuite.scala @@ -0,0 +1,32 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimumDistance(List(List(3,10),List(5,15),List(10,2),List(4,4))), 12) + } + + test("test2") { + assertEquals(Main.minimumDistance(List(List(1,1),List(1,1),List(1,1))), 0) + } + + test("test3") { + assertEquals(Main.minimumDistance(List(22291889, 62223479),List(20133205, 12454800),List(98966525, 97979105)), 51927363) + } + + test("test4") { + assertEquals(Main.minimumDistance(List(60524669, 99195537),List(37378551, 14300009),List(32140740, 2097506),List(49507707, 2326044),List(76469935, 48238154),List(55612334, 51404665),List(65448799, 98176793),List(19033101, 84371599),List(65611802, 57291950),List(40365227, 48669746),List(3066472, 4885187),List(89984748, 26328215),List(53953738, 39015072),List(11943073, 83269394),List(62138154, 36863537),List(47192624, 68599111),List(11402048, 87923070),List(39002549, 48828255),List(45487396, 84836799),List(17110206, 58728525),List(49367833, 11989602),List(41381581, 41809172),List(57193356, 17559448),List(23552704, 27327996),List(3720166, 4511437),List(6987273, 4600353),List(14199919, 15581273),List(26128754, 51648681),List(56843299, 44218314),List(9212778, 14172237),List(17798312, 41869433),List(91998981, 80058038),List(57676822, 90237537),List(70680043, 39255155),List(5445602, 75719802),List(71643804, 5189496),List(59079896, 6308231),List(21872456, 33825381),List(88437209, 22922960),List(51388021, 40479723),List(87189304, 66123356),List(69886996, 8187080),List(98621673, 73341981),List(98743606, 25157569),List(69239644, 33066082),List(91399814, 32552112),List(51654854, 12438259),List(69067641, 15982093),List(9717389, 92648788),List(86498312, 6075012),List(45548765, 74482332),List(87818036, 10037309),List(95480436, 18772838),List(15117845, 97068766),List(47892039, 65734900),List(82403456, 85256915),List(25342469, 18847175),List(62787806, 76315415),List(32568139, 93937922),List(27909738, 73388017),List(487505, 11727722),List(79251731, 9626819),List(74025104, 58246013),List(82556296, 907645),List(48832761, 86304722),List(35162427, 14636906),List(42001927, 989916),List(77749963, 89717989),List(66376034, 56890474),List(33927606, 15822801),List(6061200, 84955839),List(36002898, 30167986),List(80456659, 91227349),List(74145274, 84728069),List(9991541, 29355372),List(73207014, 64696562),List(92127011, 63182276),List(35995852, 16947103),List(97048939, 7493356),List(18735514, 46317951),List(70313855, 1982102),List(54988329, 79966597),List(178700, 50009169),List(50044868, 2509805),List(96901694, 45979744),List(52025338, 63694596),List(36282639, 24020455),List(41737212, 77615889),List(82157534, 79234044),List(63075607, 83044629),List(17403457, 14848058),List(73493994, 5717875),List(902148, 94181959),List(71072694, 45926397),List(1848675, 55362026),List(21108206, 94165461),List(48938565, 14859701),List(28363093, 9667314),List(97649057, 44497213),List(7132263, 53849356),List(71530788, 44884105),List(50949739, 65705678),List(85731231, 22807758),List(54363062, 21766035),List(67746949, 5448769),List(61427501, 4963147),List(48530251, 88225458),List(4295255, 53523557),List(31588106, 71063292),List(7325718, 37271668),List(45140960, 72395923),List(79827240, 8383336),List(31043336, 64991580),List(69684638, 52269595),List(4256991, 20579648),List(17343711, 30905435),List(72363577, 72875136),List(21498545, 12921220),List(35415442, 63259930),List(93201737, 20148305),List(44914160, 34336093),List(81433194, 46039598),List(13130426, 34161003),List(80540752, 6936152),List(74619141, 12321156),List(927431, 78048283),List(88918147, 43453305),List(29379760, 31987515),List(56194728, 83723240),List(87166745, 28864369),List(36846675, 42250293),List(48015599, 37699462),List(13320157, 76836692),List(1886008, 87749728),List(97841796, 70394149),List(65095011, 52991581),List(45786863, 11198196),List(81395640, 72619149),List(66199131, 17612564),List(18755613, 57560156),List(1748180, 15350356),List(14138318, 92743153),List(8607881, 99572467),List(76829297, 1394134),List(76780277, 19809076),List(6997208, 887849),List(51538384, 36191168),List(79276460, 40616358),List(92034567, 83745099),List(88830790, 98946886),List(74458136, 79396605),List(86943704, 72095327),List(15010193, 74414064),List(23596690, 23370960),List(48511600, 27599945),List(55231175, 11078193),List(16898162, 1921478),List(19036624, 43844650),List(19299596, 3810320),List(91224374, 83957766),List(80675377, 6634983),List(61133966, 83040095),List(39943009, 65542858),List(66475163, 12245164),List(73637246, 74284452),List(96679141, 66363340),List(61460511, 75635594),List(84785467, 53842609),List(76731117, 31139372),List(3732800, 83736895),List(66934586, 39605462),List(6469432, 14202803),List(6405588, 62459749),List(91178245, 36933840),List(5328525, 80598594),List(20540491, 1562065),List(69939945, 59305797),List(22375487, 79487237),List(62141074, 18852610),List(64559460, 67021985),List(18345485, 18942982),List(62031523, 67570044),List(72370910, 75832832),List(22231428, 82300152),List(19557217, 16588141),List(18325222, 78966880),List(18532929, 17598631),List(70201602, 21930474),List(44398197, 69806122),List(27767608, 7575229),List(49354092, 65977358),List(52158406, 89434528),List(42610553, 35217253),List(96833810, 1781337),List(89477198, 93753790),List(68601673, 88930896),List(20859961, 2693799),List(97853221, 28659100),List(22851344, 72960817),List(73804148, 65120296),List(90714314, 48501285),List(66123790, 45458787),List(39416422, 82029582),List(20480889, 26030141),List(76809867, 86780140),List(75183674, 46032975),List(72523887, 31788654),List(52027541, 3954131),List(64464681, 45577989),List(46582060, 15816375),List(75620885, 69914836),List(3349625, 88177709),List(34755436, 93351918),List(55706058, 53155922),List(83777286, 23587155),List(14284465, 18041383),List(83843073, 89236979),List(25488479, 17250320),List(90632883, 32945340),List(84894587, 69009605),List(69251702, 88501561),List(28612343, 95548889),List(90687249, 63525017),List(1139728, 50124349),List(94896437, 11604725),List(64560475, 77355600),List(25851335, 17601759),List(15358472, 51007258),List(53425069, 45049523),List(2211617, 70913898),List(40699384, 79019897),List(47926543, 71248519),List(3568219, 85494033),List(79024920, 86900352),List(10177920, 34865123),List(82670596, 81013414),List(33739196, 93787556),List(5356836, 49626877),List(85525980, 26107609),List(90698042, 6401501),List(18365574, 43619727),List(16738278, 25875174),List(98258833, 12925993),List(48209930, 40255339),List(22710780, 3748951),List(43434251, 56034452),List(61297840, 99831872),List(62758236, 26452926),List(9460990, 35828717),List(54419937, 86504512),List(70851693, 59409515),List(24640681, 78461190),List(50581932, 30686280),List(69185666, 19049908),List(44230401, 51407033),List(63613305, 3739235),List(7764096, 3011927),List(32282852, 21638890),List(20062250, 38622881),List(53330496, 44572893),List(39254633, 68921699),List(73622862, 22342384),List(6946121, 12607402),List(51211300, 10044221),List(24497687, 52304183),List(61355299, 2945373),List(67253778, 94565756),List(88383221, 54373368),List(5186461, 78165187),List(16866300, 24107213),List(88132927, 44585071),List(42612109, 39984606),List(60236404, 37702556),List(14081932, 91791867),List(1417179, 67330758),List(90326563, 58307226),List(1975816, 73621985),List(58506057, 3504043),List(60197340, 84173255),List(83863159, 68599989),List(27722001, 83496136),List(94678255, 66477626),List(73706831, 94159064),List(99805725, 85363216),List(59276548, 80857384),List(68686576, 80602939),List(88713399, 58484076),List(57229617, 57869186),List(52029517, 91324733),List(22547831, 42542993),List(94760364, 91345181),List(50300419, 58414028),List(15093409, 68926982),List(11092291, 5244654),List(93831169, 43797189),List(19783837, 74728745),List(27186472, 97588867),List(89656054, 38210364),List(28746907, 60692493),List(23440360, 76982361),List(12435379, 18630099),List(20667683, 83634822),List(81798523, 82846321),List(52895455, 36044015),List(90046330, 87120465),List(87315459, 90881034),List(80782570, 7883806),List(46259294, 32109637),List(80988482, 63593059),List(22944683, 68347726),List(72139523, 39737416),List(29187698, 6141522),List(53023219, 95546815),List(86648437, 73046914),List(32369246, 19973548),List(59530561, 27610220),List(72057765, 86338398),List(58347670, 99006229),List(36669184, 62754471),List(21785130, 75669034),List(11011197, 75453762),List(37337703, 95381597),List(7465133, 81454353),List(63168095, 72707244),List(23541594, 22972528),List(86740184, 51330348),List(20921140, 67056895),List(45419088, 88058220),List(72598539, 5596550),List(65356856, 70721235),List(6049506, 53308003),List(55555011, 12706328),List(84490573, 92673719),List(45276661, 16643075),List(53726424, 67306805),List(61295333, 2796131),List(30026792, 8518336),List(28966108, 19266176),List(32209656, 20130471),List(57735177, 56662500),List(74878540, 62624972),List(72824700, 3958580),List(47973572, 57279629),List(96922084, 34447459),List(59776938, 48881608),List(30079407, 74419091),List(41131230, 49345764),List(14913366, 42782458),List(64136452, 52541659),List(63859828, 88521047),List(47966543, 94926553),List(10422605, 67691487),List(41690329, 77926696),List(97957580, 10068404),List(58315804, 95787510),List(25461931, 84566148),List(51456491, 71480438),List(20267578, 44266743),List(56772042, 66116470),List(64071461, 65836660),List(52106038, 99070948),List(98330318, 2993881),List(84614430, 52620720),List(53317068, 12004298),List(42232045, 72410711),List(97493875, 54725804),List(44679887, 49482376),List(61007697, 16773447),List(78842171, 5538954),List(39198545, 55162467),List(1345938, 44386828),List(63482940, 41190308),List(38638795, 83879491),List(87581836, 80872792),List(47935066, 37390831),List(61702303, 10897835),List(9485710, 92588688),List(10373034, 74435700),List(96031388, 77745935),List(74119367, 27690201),List(24042577, 94393453),List(66149335, 42447831),List(14755382, 42019172),List(86411589, 97069605),List(80877169, 26721077),List(82698027, 278169),List(23009785, 77218407),List(24536051, 25489417),List(76316699, 82482965),List(45351341, 4275344),List(32723231, 42409503),List(39018759, 51494447),List(80047012, 24314773),List(52615351, 18496507),List(78852572, 13389803),List(52071754, 17258692),List(65223597, 78901973),List(63173671, 94021543),List(57717845, 81526459),List(3777849, 83539721),List(230984, 80108479),List(79837059, 33841251),List(48894108, 70715457),List(11396650, 24468610),List(61150157, 74208064),List(37040060, 2568717),List(24506766, 54972038),List(61788006, 83988072),List(34682665, 84342464),List(25163485, 88801988),List(46832989, 95371423),List(46993104, 16222435),List(7783235, 29726230),List(56665149, 69285338),List(38801926, 11554915),List(18923213, 38108500),List(24276011, 29740595),List(75552807, 95183196),List(59682133, 66748700),List(39369993, 20169239),List(1529252, 6021243),List(61811706, 78333540),List(80548951, 56471949),List(64725154, 7762949),List(49686549, 94093555),List(25229372, 36506652),List(84582937, 24645599),List(84526962, 66494554),List(19269863, 59222417),List(29975237, 12070078),List(68367951, 1812325),List(40297757, 56841453),List(73766261, 44705387),List(62810654, 67749446),List(837896, 95640119),List(46089622, 46947158),List(38171060, 52170391),List(92524623, 48350723),List(66183846, 57967368),List(85675089, 13047597),List(38644837, 44490492),List(22885726, 74912805),List(92129039, 88418369),List(7597193, 47895541),List(27883875, 80617739),List(18085547, 79396249),List(78693900, 75075268),List(6001623, 98737126),List(45933231, 30004615),List(72144268, 76945294),List(1534942, 29591559),List(10868200, 60713807),List(95126933, 12539811),List(81547493, 59992396),List(11843715, 47292989),List(7248123, 75831734),List(29582364, 30258119),List(77037680, 95985295),List(16885191, 11326404),List(45905745, 36656228),List(26777581, 23581621),List(32055774, 67518453),List(83261708, 13789005),List(482520, 46749996),List(47541025, 62237348),List(36128165, 17038323),List(69169631, 32173079),List(42698726, 34232996),List(24110017, 40340630),List(96560439, 15774505),List(24622371, 13438031),List(45027658, 43766976),List(90610431, 74811318),List(50756345, 3506915),List(89920944, 6859139),List(5601034, 6422721),List(90467044, 8148764),List(75813250, 32724728),List(78539227, 84725676),List(11856517, 61131412),List(42858951, 20884141),List(79191343, 95907243),List(73642246, 71514670),List(9411577, 18907088),List(39807202, 49201972),List(58834613, 17755345),List(95025910, 23452681),List(2791604, 25678953),List(28306063, 21804946),List(21661417, 49912017),List(29869075, 98776034),List(6943317, 21658023),List(62213496, 99938593),List(41442680, 57543079),List(63361558, 79370929),List(77469779, 35727338),List(75658920, 10169312),List(45767619, 81198287),List(46589226, 6839519),List(61678749, 90661119),List(53335636, 67455512),List(7143772, 46566923),List(17606559, 73284705),List(93455223, 8457388),List(39992505, 47528602),List(26991707, 20813320),List(69967678, 45383366),List(85939793, 10587939),List(67768920, 53499953),List(71863693, 6316967),List(10958, 43979850),List(98094218, 32249639),List(57798478, 93243047),List(71644923, 49202041),List(55981539, 80933503),List(11931612, 43930033),List(45087265, 25772820),List(39687680, 83234859),List(70384571, 59289755),List(3739884, 59670733),List(4403435, 6604084),List(6611800, 40551489),List(58014331, 68817725),List(66930304, 87010548),List(57227958, 93582033),List(19817697, 62453129),List(70380568, 56273248),List(20086423, 54105488),List(66846137, 70273894),List(42408659, 89933394),List(24659267, 92959329),List(16831853, 25010969),List(90710189, 96132177),List(41467676, 60945821),List(29384761, 77994127),List(23735958, 26901661),List(76391002, 2010294),List(35094151, 66804766),List(14241263, 86236149),List(26497960, 35407906),List(17024544, 67964826),List(96464808, 70871412),List(9951236, 86700553),List(68974332, 50115776),List(68778741, 66209968),List(91683531, 73113780),List(55058878, 17695921),List(82793014, 17153484),List(99920313, 22271702),List(7441725, 46831325),List(40657208, 24731909),List(90657326, 77269087),List(37331955, 29768325),List(64851603, 37309387),List(63921171, 77776932),List(38142491, 60850386),List(91360405, 13513584),List(9439188, 20329677),List(316129, 73562327),List(49252496, 43595447),List(45389836, 40541934),List(91470726, 96329554),List(12408286, 85303445),List(52673360, 61414340),List(82512517, 5413685),List(36824719, 23280719),List(50208079, 58624249),List(11141672, 9282859),List(93360177, 84533594),List(96189037, 74390886),List(13475832, 21013358),List(16170583, 58441644),List(55457508, 56987146),List(87749553, 32916197),List(94734630, 59963640),List(1993670, 74821170),List(45824208, 1662584),List(81266945, 92060063),List(45513585, 61235441),List(7255143, 92076928),List(80040304, 15836520),List(77763869, 23039201),List(75741877, 50062758),List(77069126, 16920481),List(46451142, 47362438),List(31987815, 99456098),List(72620802, 8228019),List(27698605, 49934312),List(80206933, 37165571),List(36481695, 66804574),List(18208504, 98787842),List(40894651, 25609502),List(84537537, 63492701),List(97021095, 94657981),List(73256816, 9685981),List(42446503, 23504697),List(57908276, 55257136),List(75474638, 12943787),List(64176814, 3116164),List(30477781, 57635789),List(2016894, 1567172),List(31313698, 85982251),List(39359802, 96591426),List(94300056, 47689994),List(30017024, 86934156),List(39675572, 41200687),List(76220995, 50852642),List(65346577, 64371159),List(65470929, 18768173),List(25522946, 3358148),List(1218560, 76708175),List(61294427, 59133264),List(83315286, 87350396),List(32326605, 93155900),List(70308858, 6982466),List(31791553, 27792293),List(11690781, 9503788),List(72738716, 47114035),List(90158599, 30842626),List(46762960, 98749251),List(87211618, 1065221),List(60491916, 78791186),List(69094327, 98908725),List(66070281, 84792138),List(5250085, 71667036),List(2915802, 96500661),List(34096587, 58126341),List(61563015, 64705111),List(57861070, 22389604),List(22004701, 67088226),List(17967345, 8986423),List(61582336, 53885902),List(54735321, 57722883),List(45804970, 54946372),List(38614917, 28426517),List(34407109, 89474674),List(94239429, 20909764),List(56574249, 43764655),List(34718303, 22341152),List(48330758, 723148),List(70991048, 58861517),List(44440344, 31794581),List(15547109, 74142809),List(8436461, 11090591),List(88196461, 17481777),List(29554211, 34611112),List(10895246, 32672844),List(40113430, 61676241),List(98444716, 14366247),List(61254647, 41475283),List(32932816, 4417581),List(64645764, 62260644),List(20759744, 28859675),List(16589659, 10307700),List(94406948, 33209123),List(55923764, 42649031),List(56641322, 89334932),List(26825208, 54934959),List(43260377, 86503778),List(53088009, 25050237),List(12284527, 2472183),List(25213268, 91581673),List(74019913, 15538107),List(13224679, 43519108),List(23818346, 85219770),List(32209288, 38146197),List(81429104, 26551404),List(19612594, 14126093),List(67100377, 24441228),List(12604038, 76999678),List(28809535, 17418416),List(80921667, 79402605),List(77402724, 74635312),List(19307426, 50964664),List(80615164, 40130701),List(66257325, 98385424),List(60143375, 49084725),List(81407659, 47832920),List(53039103, 26980108),List(74965644, 75520921),List(66266773, 72064177),List(2372725, 66475066),List(66486272, 41266710),List(13858069, 65060307),List(89348624, 1130330),List(6195411, 48337535),List(24953204, 29351535),List(85648086, 94994416),List(82373745, 84540337),List(69839690, 381102),List(49481828, 25612859),List(26333726, 17878831),List(33737008, 34425751),List(66622784, 73584089),List(27206019, 56301333),List(97580536, 52388866),List(21576190, 28216731),List(31423448, 44992143),List(18690922, 96677300),List(13683818, 70926412),List(27274633, 26195422),List(52166821, 9798700),List(29752828, 80259074),List(604460, 94638311),List(20641774, 46826622),List(55515736, 71265322),List(35129941, 71180021),List(64830397, 11984332),List(93452100, 55526051),List(43194858, 59360934),List(24502950, 94904985),List(25907399, 68361554),List(1459541, 14952941),List(41531592, 2176286),List(44366121, 20390453),List(52910206, 55685061),List(15855207, 50547508),List(53951778, 52131155),List(28715708, 74190641),List(64139854, 73784375),List(11998301, 7813668),List(85206154, 16842306),List(66639448, 6673888),List(81252892, 29600462),List(93313408, 20220165),List(3760128, 16785182),List(24052544, 91396446),List(34941744, 90255627),List(96636334, 21493675),List(55246088, 54692526),List(40226734, 95834717),List(17687, 89759578),List(71598574, 48420041),List(51625554, 22336766),List(490508, 20986130),List(92561868, 96483452),List(52192228, 58514626),List(81024544, 68331251),List(1901581, 31466550),List(59639641, 94996372),List(3150093, 36247759),List(34840693, 16380408),List(84331380, 70267378),List(6353659, 26909850),List(19438546, 15317776),List(15880683, 63949838),List(18822321, 46874363),List(12858880, 34500403),List(33534955, 2551774),List(49603165, 70762195),List(63559580, 38652168),List(46645341, 4678951),List(12443341, 40926384),List(59870932, 57931472),List(55681234, 20130475),List(97211367, 39864519),List(8175987, 71351954),List(64722662, 93079719),List(68658756, 46971220),List(92159014, 26429871),List(62409756, 33285114),List(5360568, 31642874),List(17057186, 33095278),List(28734220, 49824868),List(39838666, 58856547),List(97305167, 27872833),List(72364028, 16850085),List(90313117, 66665623),List(72309696, 64215429),List(73676098, 33624045),List(28245713, 80871431),List(54808887, 78254036),List(55207593, 23560758),List(80057370, 33999691),List(70365820, 67985705),List(27375764, 90311893),List(27106537, 74705586),List(65477664, 53069283),List(5312260, 18137950),List(21598479, 95419219),List(93447023, 63755253),List(85776962, 66776150),List(47805117, 78880238),List(34724166, 73256289),List(13340284, 49960427),List(21327859, 69614407),List(58290386, 6627351),List(5009459, 63988625),List(97493560, 51542290),List(94011044, 78369943),List(10939315, 295549),List(24567690, 34248775),List(44416943, 71283852),List(32727938, 32980955),List(188120, 25746515),List(25780041, 90395192),List(34638388, 27921349),List(98064244, 63820857),List(11158811, 53887043),List(4269515, 14662106),List(64079078, 13170759),List(57918228, 22707674),List(82908914, 783628),List(56505110, 91052617),List(12108152, 22224760),List(45203881, 61257231),List(79212129, 4497165),List(21268697, 59475083),List(18819693, 95283674),List(18791040, 6096654),List(5870717, 19692973),List(11267266, 24941586),List(63658476, 2065411),List(35726133, 18317777),List(96586891, 99019173),List(65656488, 90558960),List(15547483, 31757701),List(85676560, 77515890),List(61348463, 38027794),List(18732851, 20935968),List(14712726, 15681902),List(85167432, 91818203),List(53955470, 88274152),List(99154531, 6246004),List(10671773, 10246019),List(52359673, 92081980),List(49548983, 98760992),List(8490667, 40907651),List(98486872, 44614724),List(31165786, 47721122),List(18383802, 36290431),List(97909772, 39703187),List(8218208, 85856259),List(81992029, 74299502),List(3612489, 42252982),List(36860288, 31336513),List(39571091, 94002758),List(31370170, 16871474),List(74215376, 38285212),List(588947, 35312379),List(13057146, 11098314),List(79633293, 54476641),List(36565230, 18811350),List(44792061, 36056993),List(25232167, 12836543),List(23364465, 47286445),List(77188867, 7309199),List(96702032, 60005390),List(68195923, 74400537),List(71914983, 23210574),List(8805393, 79112441),List(98762363, 55688214),List(27370420, 1627721),List(95991217, 4221404),List(49799509, 34019680),List(44681582, 7763969),List(98532765, 37586819),List(94555198, 69350453),List(30976407, 13335011),List(53463472, 7011607),List(9513137, 64383151),List(94568126, 20444370),List(40877329, 72461091),List(34737556, 74805676),List(32886147, 14739941),List(14648976, 7103138),List(66289858, 37094465),List(2189561, 68292174),List(74332194, 90278922),List(21047859, 66930553),List(13949563, 89511635),List(1754029, 27128459),List(23616239, 21256182),List(10182214, 43674755),List(73003682, 62054723),List(83648095, 42102187),List(4657159, 52639423),List(60901466, 59646291),List(22361844, 24586631),List(25768966, 6192099),List(68048534, 72358549),List(58846357, 60030986),List(71025239, 93131845),List(36873139, 21469275),List(67105093, 45787457),List(27207608, 66766643),List(9142830, 17188765),List(84405785, 5506779),List(76088096, 82528010),List(79082444, 57625155),List(14762618, 11924942),List(54382733, 24059835),List(66069913, 25600509),List(36798182, 16598069),List(96319307, 25738073),List(52204675, 67119240),List(69915698, 41778361),List(75679454, 8620902),List(82420905, 87343228),List(21510652, 27921431),List(56242162, 95593279),List(87055316, 96665798),List(44276656, 40181348),List(5275464, 20374454),List(16685558, 722070),List(76435155, 60089736),List(64621079, 68586105),List(98204086, 84187336),List(22312710, 84835572),List(74654031, 4206002),List(74435307, 90283484),List(35732640, 11447873),List(93099517, 29285786),List(12784022, 86003435),List(49740443, 39238519),List(13498328, 89311025),List(93323318, 33583499),List(13536026, 48936189),List(46420195, 95547531),List(45141546, 11874127),List(42682382, 77902806),List(33036454, 17254785),List(77763086, 10714486),List(3783965, 56294937),List(20573501, 25881934),List(89460120, 74283743),List(44543132, 69532203),List(87666615, 96107506),List(11801092, 40356873),List(36599184, 15417048),List(9085665, 6567456),List(42258211, 74546014),List(17559369, 12386697),List(49186829, 42837011),List(85354313, 66591909),List(91875737, 50331150),List(22212275, 37481965),List(52214280, 21863587),List(61555073, 45541013),List(3765693, 34710843),List(90277840, 659264),List(17486633, 81357842),List(38146076, 699989),List(83196187, 70740169),List(56559254, 82172444),List(89132880, 13741222),List(32045104, 28278979),List(90095964, 68480448),List(80594283, 45260245),List(42905266, 64582132),List(5021102, 36631215),List(29030413, 70849379),List(74634940, 94023620),List(88938670, 3835756),List(46493218, 33465952),List(8058293, 82581571),List(58197697, 1383302),List(14104224, 35575347),List(46561659, 92259820),List(59067165, 6412345),List(64190543, 51713262),List(26062670, 95845237),List(77549811, 57653063),List(62081058, 34976238),List(69488801, 11314658),List(54067464, 79002912),List(24592649, 5059999),List(99498577, 27780102),List(32233606, 476526),List(69345017, 84806022),List(89532076, 2417532),List(80663589, 74386494),List(2729346, 21876742),List(98781052, 70964304),List(42081362, 89894055),List(24104664, 16625602),List(53883533, 36135827),List(87327284, 98995268),List(23890084, 18726748),List(4772862, 61735581),List(36747097, 20543426),List(17790060, 72833062),List(71420187, 25161823),List(19691995, 8956255),List(5226199, 81614489),List(65678680, 83304949),List(11984263, 24362599),List(56485102, 58935287),List(81779317, 72712428),List(31380457, 37764868),List(75189183, 41244361),List(79657555, 66799971),List(51711965, 45015814),List(8005046, 76843833),List(25276328, 90363521),List(62919624, 42187256),List(48527988, 62760825),List(70296601, 7316003),List(93126309, 32966136),List(38447910, 7100901),List(28741728, 17685618),List(27000223, 21711118),List(75990976, 38524198),List(69711261, 49486032),List(48390633, 51638403),List(77054901, 20848999),List(92441036, 49804254),List(82855051, 37548743),List(47254426, 7627688),List(89135082, 50180924),List(456896, 21259867),List(19727883, 46604376),List(13397700, 14980585),List(61040369, 7390628),List(33230122, 40345858),List(43524712, 68618991),List(99738248, 74276528),List(31607605, 2726828),List(46517925, 272840),List(208226, 41040258),List(26485466, 3675427),List(75727937, 59766855),List(19741378, 32416280),List(49465241, 18857341),List(40638589, 83870282),List(91819658, 52614269),List(42311086, 24130829),List(2330949, 94596468),List(68839474, 4245806),List(8814670, 22029728),List(78095276, 47175627),List(25222363, 25199083),List(40058898, 29529449),List(26800676, 91122851),List(19783699, 97275277),List(1648700, 76778709),List(5296652, 34606238),List(85587349, 90366160),List(43100083, 99323066),List(20473894, 88103977),List(43180648, 2219401),List(76572260, 97215317),List(84782588, 80316732),List(4823505, 24782821),List(7999658, 27428237),List(61068850, 25660837),List(71392640, 8930200),List(91644484, 89048951),List(28140247, 17243911),List(73789624, 14776541),List(25859854, 2745947),List(83084600, 8933511),List(93738143, 90431080),List(88424371, 94595051),List(31514192, 50961057),List(96056161, 69883703),List(3758518, 55278975),List(98852140, 54130755),List(36550658, 36376417),List(31318832, 782338),List(80892868, 72619082),List(62741418, 99660783),List(6529024, 55288209),List(93271763, 37351591),List(5231939, 27003849),List(83688239, 51999389),List(53572895, 407725),List(48907666, 60973535),List(21764166, 37269070),List(9734575, 63672880),List(85157303, 98951974),List(22712967, 17209365),List(26677711, 28365726),List(41207219, 27302884),List(65509014, 26237980),List(93044788, 93975714),List(1569016, 58941581),List(77676068, 67341276),List(30382783, 59780534),List(13845380, 73803000),List(44247428, 26432839),List(30872434, 91383680),List(11369687, 28898593),List(61381356, 7104938),List(22966059, 46842115),List(86071571, 61181219),List(39275614, 53630307),List(60852743, 80677605),List(63337221, 13986519),List(34342745, 75811215),List(46897132, 63286694),List(62938749, 204867),List(14023564, 37199586),List(54392271, 80925586),List(2977566, 70993386),List(12034419, 92015604),List(65902648, 65012626),List(49899784, 82571927),List(75434929, 83350369),List(13246251, 97079084),List(46809122, 39146364),List(40938297, 72574369),List(30130629, 37979797),List(60042630, 18847065),List(73613054, 47503858),List(30435806, 95124777),List(82473532, 83951513),List(90077326, 72332207),List(78850096, 21204945),List(94107953, 83769113),List(24084758, 31594086),List(66720964, 47091094),List(65752353, 52332932),List(50434479, 20005424),List(40556320, 74914871),List(69721913, 51110007),List(18031054, 97628988),List(48921910, 14529610),List(55210682, 48995541),List(76936189, 69594437),List(787329, 81105426),List(44744003, 4164211),List(79886266, 72822638),List(48938928, 80799440),List(2067804, 28215610),List(69743130, 41217783),List(53709194, 51038143),List(20771939, 37428785),List(69270198, 19733454),List(54653231, 56051254),List(27083823, 48506683),List(34285919, 58927630),List(29612605, 29178394),List(11347901, 7725257),List(87481533, 11076021),List(44547898, 5416976),List(66334183, 83518881),List(5333084, 64139727),List(17486713, 81353535),List(61306390, 38011959),List(5011167, 6119551),List(60922014, 72803511),List(52989953, 28391548),List(23178706, 95301525),List(52812569, 25391063),List(61871696, 69207745),List(91157919, 54001018),List(9758093, 24994014),List(63483288, 11709327),List(29907526, 18916105),List(93214936, 19917807),List(83520512, 1556603),List(87779185, 8412419),List(96189121, 34038364),List(60452754, 39818571),List(15076045, 91250206),List(88381534, 83847089),List(23203561, 41104333),List(20254141, 60117703),List(63320969, 38525072),List(24996911, 72623306),List(82868202, 78511851),List(5023781, 1780795),List(70601075, 35012703),List(72635715, 23854542),List(8039578, 76458027),List(77039588, 71022278),List(31341444, 20318455),List(4413841, 78181084),List(41803578, 12193642),List(82252355, 56581073),List(31009213, 17455621),List(77033943, 35315417),List(3479890, 53365501),List(93461688, 76145395),List(48336786, 46015957),List(10355210, 53144288),List(96291782, 16041414),List(9571219, 67941332),List(85519626, 59360677),List(75914908, 16383944),List(10090025, 54156690),List(48834725, 89922647),List(50965609, 65520097),List(63326788, 54539323),List(46548825, 44975140),List(39080209, 50563852),List(30544723, 18676985),List(63354502, 49526208),List(49619246, 63828069),List(95064635, 15705543),List(63113425, 45285869),List(64264223, 91355911),List(13180959, 50820438),List(60965323, 78924880),List(52322078, 93821786),List(39479082, 49508006),List(11635539, 68165541),List(84140506, 88389483),List(50687930, 32327466),List(53240709, 10669810),List(30578991, 80102213),List(69877763, 27336947),List(10903871, 16818957),List(30080849, 52944289),List(50671334, 81517945),List(83327723, 87731797),List(55571981, 20380572),List(880371, 53959285),List(8341435, 56444381),List(37890382, 23152104),List(40644374, 71881498),List(78736817, 44999939),List(70202355, 33879973),List(12178999, 69395622),List(23474674, 42840840),List(10668445, 76574129),List(79696193, 28538711),List(87597040, 44843658),List(46704050, 38976094),List(21550348, 41890878),List(25531623, 23661445),List(11631293, 47617877),List(13540664, 93645785),List(25128102, 31401994),List(28462463, 73924056),List(66782867, 25571593),List(51246525, 16884919),List(67086542, 88942194),List(51899121, 9334352),List(54703642, 45674848),List(12483264, 69659776),List(87926716, 50374443),List(62268458, 1117332),List(74714586, 62333779),List(78289519, 20551910),List(68561288, 68856446),List(31289802, 23896977),List(3124933, 58330823),List(82388117, 37804591),List(46818002, 6564807),List(10235954, 42051655),List(71646555, 71493527),List(17900098, 95268614),List(91801399, 77665531),List(68465048, 58680122),List(22721379, 2097277),List(46320751, 6571590),List(2194354, 80512038),List(30778515, 31612761),List(7238661, 65927424),List(79797557, 87299841),List(94930159, 83873878),List(43616730, 16910605),List(28769167, 2310950),List(50959518, 58699922),List(52694250, 19798977),List(85499892, 83301495),List(50245110, 29362280),List(90196750, 68788935),List(28878330, 58592766),List(1465006, 83904148),List(5084512, 43153432),List(27971086, 69271637),List(72692804, 63173005),List(71790387, 54903192),List(2213381, 18506317),List(54251542, 86423652),List(30282102, 73357083),List(13522639, 55956395),List(35582697, 55199788),List(91709809, 46424066),List(19807209, 3228345),List(82917994, 61891924),List(4938303, 5542692),List(45090365, 50167821),List(19127893, 24507566),List(69540632, 86015309),List(14882376, 34887485),List(73630146, 46549263),List(63667879, 12613477),List(53084596, 22357241),List(28684052, 21969637),List(93776481, 53047828),List(53681873, 77137600),List(86528524, 78482755),List(49880567, 92207881),List(89712948, 73302577),List(84887634, 93705203),List(62120247, 30191685),List(79222414, 22793479),List(90854056, 35141322),List(10577777, 39263961),List(85635225, 15620367),List(27689234, 36835789),List(86774127, 38186266),List(39547119, 39489083),List(76958198, 91066623),List(62693165, 51808189),List(97883600, 54741500),List(78935534, 31877190),List(75902997, 71615089),List(94002015, 97484146),List(57803530, 71612244),List(84136225, 37522643),List(90386564, 31163849),List(95501173, 10400325),List(28161215, 54732097),List(14924764, 93323102),List(44049556, 1929682),List(43898078, 82142654),List(69647812, 54105913),List(90184127, 97382948),List(82332926, 11149899),List(94054559, 5209581),List(23513768, 72818114),List(70640285, 33607943),List(72276773, 77218829),List(4861873, 76015391),List(3197066, 27888198),List(78134605, 58031786),List(14312763, 63658537),List(95951451, 53961977),List(17582575, 58794389),List(38275976, 27541604),List(71136740, 72710582),List(24275852, 86020548),List(28418832, 99966792),List(96647042, 71016164),List(88996798, 29347835),List(59545494, 69030390),List(51165036, 80518133),List(17918707, 5095836),List(25410139, 46210558),List(91346255, 2702140),List(4125369, 89801812),List(87229991, 12594412),List(98005173, 64355669),List(33732727, 77057813),List(23592294, 2005012),List(2108608, 29451095),List(42723749, 18331916),List(43081683, 94246565),List(88502827, 16182072),List(89474136, 28226037),List(14313630, 78541100),List(42778754, 42709003),List(13034777, 98359357),List(4516894, 12189906),List(75863820, 64570344),List(30608681, 12305475),List(96833970, 28595942),List(93028548, 53589919),List(57408770, 60447623),List(30324890, 55059753),List(97123068, 8123269),List(54621144, 45381350),List(53237803, 67358812),List(64464448, 38290993),List(60043404, 32925758),List(22663806, 32574839),List(83739943, 28907380),List(92886225, 31143655),List(83527201, 8004080),List(11663649, 71104682),List(35450825, 86949213),List(41274652, 8856311),List(67568302, 45901296),List(50617154, 33081803),List(22790592, 87534176),List(10737289, 46226089),List(90762656, 31431600),List(23023955, 58393360),List(46416323, 98801727),List(56148105, 75275712),List(21950880, 8385302),List(39265613, 7297750),List(40575438, 71545844),List(79530213, 40035532),List(1986469, 94145953),List(67817853, 69059467),List(74915656, 55673562),List(19324517, 13976544),List(70757536, 97543226),List(40811098, 62077901),List(28500031, 2189589),List(83823914, 90359222),List(30830848, 47366164),List(60321205, 23719999),List(39591052, 41783330),List(89728244, 26546365),List(97720581, 61559845),List(79828742, 42143547),List(5147746, 63396993),List(51525409, 37045578),List(33343048, 90389867),List(36237312, 94882760),List(48770203, 61505093),List(57153969, 85362984),List(45170245, 94928443),List(3327218, 36357728),List(91609747, 7203694),List(77114972, 79193054),List(91429284, 89891636),List(51205870, 64817025),List(6938177, 5602569),List(23720010, 57099282),List(17213711, 1971463),List(40584685, 78486245),List(88969960, 26794371),List(20863396, 2070645),List(36081663, 32815038),List(72321197, 58925144),List(32030030, 88434481),List(93657942, 77401488),List(1899322, 70640394),List(84303916, 68664709),List(2841401, 97494426),List(70485731, 63890143),List(46900397, 7090266),List(89844953, 95020075),List(40415243, 40580229),List(19383886, 84789736),List(59160301, 9646816),List(63537756, 18465607),List(3195808, 83526649),List(13398101, 38957397),List(47215374, 31090847),List(58899960, 59973540),List(13216631, 82018477),List(86280541, 27846437),List(23311162, 17394629),List(56989615, 87244868),List(36392204, 12869866),List(17405295, 38727234),List(88131159, 31201287),List(80468622, 30912056),List(41825511, 34449784),List(45149066, 9406115),List(17863900, 29686269),List(41730902, 27521277),List(13696134, 98494763),List(55385714, 77009404),List(44319305, 59443827),List(69398140, 90691048),List(39666396, 58362893),List(86696046, 40600813),List(78329719, 69681951),List(7808758, 26213161),List(40574768, 98356765),List(13563738, 89859842),List(27941714, 13933026),List(25734097, 4304462),List(84930075, 41736762),List(51046516, 2103129),List(43486718, 13472208),List(41169101, 29777065),List(75354865, 34179828),List(76573265, 39473090),List(83771971, 54047689),List(26520815, 66195352),List(1966850, 44997595),List(90898037, 22682971),List(1323387, 21481190),List(9947734, 42408197),List(83397455, 3657626),List(20384822, 13035305),List(76103118, 46056714),List(92138583, 51134063),List(17695762, 49596568),List(76062679, 19915364),List(72163154, 63527955),List(84199248, 68332246),List(6272129, 72529532),List(59623065, 12795201),List(79923713, 26059972),List(67865880, 47575714),List(53553858, 31277135),List(2223290, 96742106),List(54941766, 45594070),List(60853251, 3979589),List(4346601, 82015301),List(21158919, 55251680),List(15599571, 42817075),List(56932694, 21042710),List(27869103, 61381660),List(91072032, 44040865),List(48485168, 19589030),List(67225127, 80472154),List(77457929, 63204981),List(3902531, 60147346),List(3968030, 90183552),List(8592967, 93015925),List(59810757, 4065290),List(13550286, 89629675),List(20834954, 6020310),List(948765, 52158551),List(96202859, 67627262),List(18364300, 93322551),List(4901425, 61611695),List(67534252, 66627458),List(53009168, 97738625),List(71514862, 5881251),List(48203424, 8897982),List(80723564, 14905558),List(26092022, 75404543),List(84228936, 5814595),List(31703689, 73099002),List(92457756, 7516253),List(99341204, 40705988),List(92582742, 70665850),List(62298261, 86978943),List(29641993, 72757905),List(56271915, 85367164),List(52753368, 3841874),List(97196513, 54644186),List(66358788, 81396760),List(99393732, 51520188),List(89350847, 78104151),List(86305315, 16421801),List(32623281, 60618458),List(49124847, 77828507),List(45665804, 98853787),List(80756320, 52705535),List(64925438, 23655107),List(92796837, 11848975),List(4345218, 3342223),List(53773923, 86797530),List(95119448, 99300951),List(52081052, 79539333),List(83265492, 94722672),List(48035352, 55613545),List(17338732, 59268333),List(89791012, 68000864),List(16803694, 69367801),List(92153189, 61333917),List(45300607, 5067753),List(42817675, 50783434),List(84930187, 52399771),List(9573122, 7868842),List(2427926, 45489636),List(50870541, 11535584),List(32106504, 64424868),List(54511712, 48226083),List(73521355, 71690540),List(61368046, 28161124),List(31321102, 20212821),List(34092252, 37762072),List(55541322, 70167804),List(42594005, 24934700),List(69658346, 40441664),List(15158425, 37152759),List(24553109, 26780750),List(71309581, 59121883),List(29154552, 2913736),List(32087420, 15348259),List(54722805, 92717402),List(74801885, 38694643),List(55424728, 60785449),List(72465287, 868351),List(3955723, 56033265),List(47305022, 34161352),List(81573666, 26666176),List(72716247, 15575930),List(74025097, 70117969),List(79039161, 19828878),List(65423917, 84735052),List(77337029, 32143568),List(95374493, 84181961),List(364121, 88872626),List(36972235, 71321644),List(27875960, 39310379),List(24534763, 91386025),List(8329496, 52330263),List(41541446, 40864330),List(16142059, 25806813),List(79412566, 46224038),List(50519512, 54194601),List(43970269, 74066474),List(25059154, 78609857),List(57335483, 12548534),List(28160414, 65619603),List(20534474, 31815948),List(88865931, 47843781),List(15663197, 93845608),List(66819621, 5102239),List(47429004, 18071717),List(47452638, 42291905),List(38554410, 33681000),List(4302894, 16758438),List(39410188, 56388327),List(26055270, 35466851),List(10816616, 26415931),List(94588356, 63917081),List(37862031, 42580472),List(2049992, 98371959),List(2455663, 13188403),List(13166019, 64147850),List(13025352, 17831847),List(50307776, 19167977),List(6387202, 84439683),List(21353584, 87701131),List(30115134, 55353521),List(57735845, 36234292),List(22933325, 39562535),List(48873331, 20511604),List(88204125, 61325110),List(22376919, 49139114),List(81770186, 40890810),List(8380832, 75534161),List(95306790, 85167816),List(55883154, 31488588),List(66183919, 79762985),List(52065496, 72858996),List(98342481, 1201770),List(83243771, 93137960),List(6735544, 60899245),List(51278280, 63596167),List(6871834, 29684533),List(25563707, 89171860),List(15235705, 59588894),List(34166962, 72159984),List(9565957, 16716292),List(36753047, 10744495),List(73372382, 10527490),List(91813083, 60688489),List(34213902, 51730670),List(39828988, 8865228),List(56597348, 33493646),List(19444808, 22607223),List(94059332, 34233315),List(7968331, 72411761),List(95692840, 65416122),List(19524715, 6867444),List(27909456, 15259676),List(64174947, 14837342),List(75165070, 49033345),List(16405542, 60626155),List(58724818, 57671630),List(51754297, 60790188),List(5778613, 3536255),List(57406145, 93070448),List(30850397, 61275497),List(60356004, 73514924),List(93968785, 52473484),List(88751421, 58280540),List(23145829, 61920770),List(98235126, 61911974),List(76032774, 92435972),List(17582603, 98754821),List(93404859, 61905813),List(6544781, 41000299),List(65401710, 60135752),List(99752918, 66235336),List(114612, 26919826),List(11265667, 16559880),List(54142144, 27192968),List(7492747, 43860189),List(80879080, 9505846),List(88009659, 3973813),List(37777534, 53655344),List(81541446, 97279095),List(5236408, 25185657),List(26245816, 49539799),List(53585818, 26028066),List(67925626, 63964406),List(91320633, 91976855),List(46861932, 41229695),List(22012886, 1280792),List(75486053, 66022810),List(2843565, 8154221),List(98174901, 19558932),List(87021175, 85629502),List(31620944, 92345966),List(9688416, 85949867),List(36055282, 62680279),List(68925010, 81336742),List(31881024, 78316623),List(15625824, 19672831),List(76250189, 1995559),List(7227786, 2639802),List(85056582, 14372079),List(66219184, 44042504),List(12147022, 43794411),List(81311595, 96085917),List(77330283, 13162269),List(79692462, 45502341),List(54408934, 5059670),List(64602149, 57438761),List(77981491, 92382454),List(97264595, 71854856),List(46922188, 45391136),List(84014015, 43339107),List(93391421, 64929060),List(78040581, 67911472),List(34342857, 70531047),List(97569514, 19854605),List(463239, 48329547),List(43416667, 52525489),List(92035663, 23722959),List(23762107, 57387707),List(75775412, 63835413),List(24037640, 38675564),List(77777499, 91184771),List(93862291, 39041327),List(19383509, 41202986),List(6275344, 66068689),List(66974756, 74319604),List(44106977, 10212549),List(13049229, 79196358),List(23294913, 10981505),List(96357396, 88862809),List(9629871, 15671293),List(21398630, 5500670),List(38589694, 87490282),List(48029351, 28350943),List(37545113, 33947621),List(66203586, 58102595),List(52549249, 64320150),List(60496805, 19401883),List(52931383, 82755857),List(87888260, 67350364),List(38913966, 11969136),List(72815753, 18023783),List(51953735, 15320990),List(58998338, 30656278),List(60030525, 19827288),List(8735718, 43952460),List(83564746, 77089057),List(10048947, 53859167),List(29391658, 71420308),List(59333007, 45091423),List(13031432, 72877345),List(55672028, 62105011),List(41261327, 19165879),List(72096848, 62627970),List(80501160, 81093471),List(1621341, 92462276),List(43897991, 49211632),List(99259871, 2835253),List(847815, 66663649),List(2813395, 63437501),List(59771854, 43068352),List(71278077, 56271616),List(95608003, 64764754),List(36711761, 75002431),List(31403107, 14505996),List(79556897, 46150888),List(8433172, 99807047),List(17245529, 2543488),List(79903865, 56755804),List(81204771, 8108587),List(40971371, 67218397),List(38278306, 77208372),List(65590445, 37705658),List(11199904, 63942689),List(99162006, 35382902),List(65739912, 27047358),List(47677978, 4070720),List(77621064, 57599739),List(79448734, 16313673),List(844069, 73416549),List(76207549, 5221914),List(78469392, 9842177),List(65642661, 21329154),List(65786275, 31113979),List(70283340, 14648229),List(77496427, 77005410),List(29989981, 40918473),List(39187079, 98387943),List(69852433, 40960132),List(61908005, 75594466),List(96540548, 84722506),List(42678167, 67665693),List(21766433, 20876942),List(91105192, 54079004),List(63991698, 35233181),List(71896038, 70287890),List(15870608, 78739544),List(18205882, 58722970),List(9228562, 16895763),List(91770290, 22374877),List(25232262, 79352183),List(73787488, 12051230),List(23698279, 26355011),List(52119411, 10590623),List(78870132, 91348998),List(94563737, 81096038),List(15575610, 48269545),List(44462589, 42168831),List(32798653, 88309317),List(5067835, 98932683),List(93887768, 93980436),List(97097341, 56574660),List(36956964, 48910021),List(93534766, 78272472),List(1963438, 4456415),List(77751840, 94691874),List(74198490, 34575421),List(16416832, 7302759),List(27415168, 54998271),List(44367968, 38926055),List(54557289, 72070879),List(20449635, 33662969),List(92597984, 5272506),List(10667080, 50810451),List(98007921, 35770770),List(81970730, 88387234),List(93513182, 23555602),List(86242944, 86158849),List(96916097, 70831713),List(39016501, 33185840),List(14588934, 80786924),List(3157226, 66124879),List(54770153, 67326715),List(16688820, 32862524),List(21806076, 99865858),List(94995586, 41029026),List(53919867, 99234279),List(19079272, 40938815),List(73086979, 33659675),List(18654819, 27429510),List(1351523, 85272169),List(41068002, 89038641),List(44067877, 71783676),List(5287021, 90952582),List(25072682, 6414262),List(86978928, 95660190),List(96200751, 69772232),List(51464501, 29725195),List(96320266, 31675680),List(92050392, 43746645),List(37363900, 40227205),List(25757112, 59647034),List(74064925, 7603187),List(69165627, 18614889),List(82426143, 3852498),List(8081848, 18649354),List(47644465, 72542980),List(81871477, 49728983),List(48431921, 65111303),List(48665003, 96941503),List(92504555, 73771459),List(29141042, 3149213),List(98405287, 24190596),List(36858317, 24166493),List(64842105, 57066930),List(46034681, 44807143),List(7966489, 42867309),List(22264127, 68211325),List(82005763, 13229659),List(82659990, 71809470),List(50988200, 61352177),List(57972836, 11703131),List(99113723, 40505120),List(28387293, 5202696),List(96441776, 98925435),List(67368648, 37429871),List(6267981, 99916189),List(6670635, 93686621),List(46453994, 21099539),List(74463442, 69253037),List(92331280, 38856984),List(74853014, 56547500),List(33162198, 76168844),List(78028895, 95342815),List(61440910, 82024331),List(24992473, 31580877),List(33362359, 1677842),List(17173430, 23253676),List(2445495, 25613944),List(50390248, 15819074),List(23397402, 10269341),List(79261628, 39430455),List(83301138, 6214939),List(49786804, 53872394),List(23146709, 71216057),List(83344087, 15161627),List(98543144, 59151758),List(42945977, 45106867),List(84532626, 5479483),List(36844790, 62171927),List(54945261, 91210735),List(51064311, 20049786),List(99487503, 21902045),List(81597901, 9665609),List(91853076, 68511284),List(1222475, 24429786),List(93385427, 49387846),List(34193671, 77023790),List(18198282, 75640251),List(57988849, 23743809),List(46430635, 17731627),List(18695252, 88768380),List(45987720, 65297560),List(55607204, 55084871),List(99341733, 41616249),List(56755667, 56038988),List(93813516, 79804282),List(25950414, 14907040),List(82668743, 65143806),List(9444370, 70215896),List(58750654, 63046062),List(24961892, 60670340),List(67466082, 40377991),List(95804483, 63514177),List(99866644, 16420147),List(2326461, 1712139),List(1304147, 95828735),List(74948251, 23758673),List(67693249, 44417492),List(18125352, 27596106),List(12006940, 32668039),List(59217053, 33763445),List(58521229, 40726538),List(85754278, 69550297),List(86998203, 92613093),List(11147209, 86267434),List(63964357, 6417506),List(29200813, 76991077),List(53969118, 49362525),List(10219842, 64998241),List(37520395, 26324992),List(80109726, 60662170),List(17357162, 5910832),List(72093501, 73483983),List(31456868, 68668804),List(51664745, 29215870),List(15817504, 7643221),List(60626388, 62306197),List(51518517, 95181991),List(19487220, 37673771),List(98910804, 88708967),List(9055112, 89274369),List(93038586, 30654454),List(23757048, 13461281),List(92427785, 33651644),List(43963041, 33744961),List(52921966, 37209708),List(71567658, 70232128),List(88006480, 87018532),List(2761671, 85989272),List(89017646, 41643954),List(36058139, 49048943),List(33846379, 41819581),List(48944325, 47606148),List(41465214, 11561210),List(85832079, 65373424),List(55168664, 98212970),List(28628478, 72636918),List(17162248, 42896087),List(62685194, 46107936),List(75167988, 45754561),List(5368317, 63467921),List(10555415, 44448114),List(34628746, 10391392),List(65904200, 52131150),List(3686707, 64385389),List(95038808, 77226953),List(6823046, 35636807),List(96013195, 86459971),List(35991176, 78596954),List(78952190, 95675734),List(25946851, 50510636),List(22129721, 68206161),List(42262625, 95176790),List(68653687, 97172419),List(91223327, 48803627),List(8634493, 92632485),List(12747606, 67843560),List(89564419, 13137181),List(57207017, 672531),List(2509121, 24970439),List(77472066, 96179059),List(45393400, 9725311),List(49809994, 77281326),List(85715512, 60521451),List(85975660, 20315118),List(32477001, 77718819),List(4346108, 60820845),List(69913651, 71998951),List(17599832, 31607016),List(41458203, 49585888),List(44168510, 47866599),List(27610990, 3268249),List(23438942, 12235187),List(61473147, 51300675),List(74211290, 92535418),List(13952723, 43561470),List(39124205, 32491867),List(29148960, 16722966),List(69860104, 48684349),List(2533055, 81000183),List(3701371, 14555656),List(5712184, 26283291),List(45377745, 28351608),List(20123554, 80583553),List(82469859, 15619118),List(75891370, 81074663),List(13522652, 81201174),List(5836241, 14689510),List(16290151, 27850174),List(5102895, 69688550),List(19861795, 7806935),List(32081501, 65471821),List(23051015, 60712595),List(85890837, 39604721),List(96490844, 78453397),List(52085023, 698659),List(65432079, 26467961),List(74969871, 3896978),List(37661931, 96790810),List(52051482, 96886329),List(84912088, 22653453),List(7431261, 51022611),List(28180303, 45263803),List(13853486, 49574890),List(58302225, 81285633),List(80216744, 26675615),List(4715251, 29093851),List(61112374, 47756562),List(3081345, 60817781),List(36853870, 92686023),List(70160074, 19251893),List(50927279, 24435562),List(70514992, 7729424),List(77957091, 26041088),List(61984842, 5025739),List(65018823, 45524901),List(82839154, 10037214),List(67628793, 22042205),List(70851289, 18659823),List(12443789, 94266157),List(50522185, 93084102),List(50342009, 17614184),List(33580535, 39643049),List(82184057, 84696709),List(77918992, 186708),List(53949605, 99277530),List(65128008, 88422721),List(69390878, 9639876),List(2197565, 53389869),List(6611786, 95843658),List(48847549, 54010318),List(67874049, 9152339),List(827550, 27326343),List(39012410, 58425436),List(61569827, 93005292),List(25898520, 99292827),List(78202958, 25900581),List(60137895, 52529431),List(22315672, 34162876),List(2193095, 56652856),List(46155858, 32238976),List(48169743, 36324189),List(41299840, 41597387),List(27659427, 77424401),List(14100184, 62237807),List(97196486, 82102758),List(97477943, 52562886),List(90119490, 80506778),List(80404151, 23552001),List(12438371, 97011224),List(76504122, 88283610),List(71839160, 76423002),List(61697668, 69446171),List(63354575, 55442597),List(12672913, 39869683),List(73382050, 52123412),List(39774042, 63199273),List(63200460, 57149040),List(61208943, 1055754),List(74199446, 28530210),List(78646345, 37655752),List(69198836, 22022738),List(66782958, 2976748),List(54909452, 54551905),List(12570784, 71217305),List(38268370, 97259364),List(33233816, 46905468),List(27432523, 86472587),List(24938631, 90739946),List(49101854, 27360480),List(47554352, 70007492),List(88111191, 10315344),List(13390298, 95616722),List(60609558, 46438876),List(61779360, 57277332),List(45769989, 85156377),List(77493736, 62700412),List(95834522, 42091589),List(58555877, 43149462),List(15298352, 68266185),List(83533236, 68462318),List(42621759, 53128252),List(27579915, 93353948),List(17338191, 62230263),List(17292223, 79958590),List(18430087, 91863064),List(28514603, 1021159),List(66746450, 21449032),List(21428347, 37800867),List(97650953, 93235548),List(57953909, 78913042),List(23402542, 86694824),List(18602996, 70223094),List(17023468, 10257503),List(10395296, 18705018),List(63728259, 5682282),List(64963585, 48593325),List(25553225, 26811126),List(96292320, 67060344),List(64798025, 49765917),List(97789039, 80559966),List(63397107, 94833795),List(36883964, 43325469),List(43313291, 21030789),List(41450891, 74055173),List(16625439, 38313288),List(16476650, 21046505),List(41134141, 79484455),List(74918433, 98335467),List(18846374, 12349309),List(49883952, 61173986),List(10398943, 89544252),List(51198463, 64427),List(46422749, 70120742),List(94368246, 60368467),List(65984131, 10961371),List(54291135, 73667973),List(99655991, 577155),List(27712810, 71024591),List(73464671, 10484422),List(45312095, 53202751),List(3094748, 45228001),List(4842511, 38080850),List(27155127, 69495704),List(45363220, 87721095),List(7002498, 16401374),List(39346007, 51466013),List(2053136, 44566479),List(29647872, 69349318),List(40469767, 8231358),List(40007944, 52838234),List(63276784, 19087560),List(61918802, 23935120),List(13220800, 38591246),List(92196830, 819825),List(38013948, 5661501),List(18550224, 9032192),List(66849535, 23840584),List(49833104, 35204525),List(72149917, 61069192),List(98408364, 28194262),List(52271090, 5567692),List(76566162, 52736021),List(85874426, 53433287),List(59760101, 30250315),List(65905372, 71365160),List(48777587, 49431717),List(36066035, 18346200),List(87707357, 5879238),List(77774574, 40792026),List(47650691, 82539178),List(92818587, 47335236),List(35012839, 54994645),List(10533839, 71559386),List(14141695, 78553570),List(32317890, 49214294),List(7345719, 44782598),List(61305257, 15276271),List(21685150, 51754253),List(32634868, 26794332),List(24240889, 60477806),List(23241831, 48957572),List(17321143, 95642667),List(73585813, 76766964),List(30039400, 99071091),List(66369534, 34488361),List(70724546, 49114534),List(6218001, 26908066),List(93190819, 83813085),List(27654591, 75801758),List(59709748, 37325075),List(1175531, 16878089),List(86527807, 32544717),List(39383194, 19027307),List(17114469, 44186703),List(16041352, 99579821),List(20206680, 23479618),List(40892794, 66622181),List(18018221, 80186835),List(3578695, 40668353),List(95668405, 64308367),List(7245936, 52856680),List(77946868, 22322870),List(91526565, 16228992),List(16067272, 15124092),List(30359951, 38722603),List(97660918, 34776849),List(95071808, 96792686),List(42416206, 93593512),List(36007348, 94712514),List(67676507, 33658618),List(56571368, 94705104),List(14728674, 93349477),List(92213652, 36809736),List(25798985, 77824529),List(35612036, 401910),List(95169186, 73295955),List(68978131, 29773655),List(32602024, 93753371),List(58060572, 60940416),List(91381497, 59167490),List(79015212, 95071557),List(13403692, 47956022),List(78266631, 8126020),List(53733939, 58499785),List(41741562, 80813685),List(14029399, 70294372),List(14450954, 18731031),List(23608205, 7046483),List(90398709, 78937101),List(87773015, 92896766),List(2473602, 17089079),List(97860673, 42427059),List(52326924, 70449470),List(35365215, 24187975),List(19332782, 22979813),List(23506378, 89471202),List(40716060, 96713527),List(72624223, 18014016),List(70873994, 80397123),List(17465385, 97169774),List(21575864, 51074089),List(38964150, 52751848),List(71799462, 75187337),List(69138043, 42722470),List(54080374, 99457992),List(62422182, 65777643),List(13822918, 48597764),List(31873211, 53531352),List(28345291, 56150708),List(42017186, 29730540),List(33779513, 90522837),List(75017043, 2963902),List(38395841, 42115771),List(49807598, 42484934),List(64345242, 98099105),List(26622083, 31243944),List(33394783, 21810738),List(98944008, 23966826),List(87662672, 36992895),List(20945269, 24839576),List(61505929, 93582490),List(17339650, 51679100),List(18666573, 12412012),List(72257430, 78493995),List(31535255, 4343378),List(77705788, 11181168),List(85794547, 59308393),List(72274495, 85518511),List(33022515, 62537340),List(77082945, 89814457),List(38009488, 15694165),List(80914933, 43580565),List(77727909, 67169986),List(35104226, 47436243),List(47620979, 3753693),List(84650788, 38249140),List(43010266, 6910312),List(24897619, 30472203),List(8641777, 76877487),List(89770076, 66126739),List(3532021, 36646682),List(72337994, 59773632),List(20930129, 56193417),List(45549487, 2279338),List(30341577, 53400975),List(85953842, 13945995),List(26639565, 87577046),List(67665239, 57426261),List(48377266, 74788877),List(60874588, 30744276),List(62459127, 9472892),List(96665566, 5506193),List(41933652, 45888981),List(71364274, 59460275),List(86517992, 22154870),List(75936244, 80789022),List(2219973, 33200308),List(42381791, 6334164),List(66125309, 6611170),List(10066834, 65181421),List(64922895, 12017338),List(58506631, 35785474),List(86741725, 75725573),List(50199650, 24748025),List(8418033, 97753126),List(24690331, 64360616),List(63498598, 66457767),List(96268818, 27151009),List(46567824, 24480469),List(79510369, 72398630),List(31359910, 2952046),List(63333311, 46631871),List(9654475, 89485799),List(53081285, 28228269),List(61670561, 29978917),List(98351597, 19630903),List(4779741, 88346029),List(19283532, 98839184),List(13700405, 31560428),List(21564960, 8780851),List(75715580, 45358220),List(35769339, 17364688),List(34814411, 91253545),List(98400426, 40422866),List(7803226, 69462953),List(12697551, 19889717),List(12732380, 92834421),List(35585593, 24402619),List(99480351, 10547437),List(80172657, 49119541),List(67211569, 95184021),List(34075251, 26311294),List(98734836, 64794819),List(10138393, 65004317),List(57374343, 38125012),List(42064698, 84284810),List(46023053, 80271889),List(52265187, 90491001),List(14503858, 16374724),List(71358953, 66520441),List(39779883, 89159349),List(25230055, 67159215),List(89651775, 39311284),List(12544707, 72831356),List(87632031, 72948540),List(36540831, 1849043),List(92427480, 43427888),List(95321882, 61720527),List(78788084, 60754680),List(40714579, 20190071),List(11335807, 43288692),List(95445628, 59253096),List(59779336, 22126922),List(72245604, 89187071),List(51579157, 28667881),List(85744964, 64429136),List(95352023, 71306850),List(82639371, 45345700),List(16010448, 14012691),List(99566043, 80543965),List(30403952, 76188648),List(87879829, 28850159),List(3118757, 32855623),List(9475125, 63602569),List(5710736, 11998306),List(9442935, 72295740),List(84712194, 16595306),List(26262009, 98105610),List(2780515, 63907714),List(61465467, 18676595),List(76517934, 77085136),List(87346390, 54723112),List(43440797, 40360546),List(46303577, 28474918),List(83133131, 51819998),List(86982631, 72549990),List(69180503, 78371719),List(33828833, 28072512),List(45974233, 46031464),List(28572090, 39687769),List(84561644, 27067013),List(15974414, 95272156),List(98032743, 95544876),List(80870766, 89286826),List(74043831, 51403435),List(76285946, 36717458),List(22025254, 2701921),List(50943897, 40733098),List(47094832, 45147748),List(46438363, 66586518),List(15415931, 64159044),List(4646705, 57728691),List(97809712, 95537746),List(38819945, 70917400),List(32246211, 54299248),List(75187686, 65771367),List(13340742, 15072967),List(59018879, 76598345),List(59611629, 44134517),List(66195787, 8963874),List(25149688, 45566461),List(83461954, 69046503),List(93482928, 23111027),List(70866641, 92943283),List(58351363, 9211166),List(35734698, 67710306),List(56390981, 45270929),List(10673554, 25773113),List(38910077, 38951076),List(41130790, 549465),List(12531279, 22889839),List(43620311, 51108221),List(80244531, 51950867),List(32668429, 2749859),List(66824252, 4338174),List(79782661, 79545044),List(50619167, 36498980),List(32199560, 64303132),List(5128135, 21976260),List(32324854, 20516136),List(88534443, 64236585),List(50020257, 87138013),List(93186546, 7352457),List(88527451, 53201555),List(90346959, 22043644),List(50210857, 89550558),List(67082032, 91778913),List(66616566, 86027633),List(27654376, 53149053),List(95124659, 58800344),List(31743037, 54998277),List(57797630, 10257927),List(31980589, 27220787),List(89993721, 25153658),List(30440527, 51531964),List(65347464, 88935845),List(98924983, 92031226),List(85780498, 15418191),List(5158405, 86635448),List(75666548, 77039585),List(17259345, 35781966),List(10576748, 35458924),List(1674852, 33619493),List(81151392, 37735667),List(50284059, 28558660),List(87672922, 47406602),List(99898897, 52392530),List(34136144, 80339520),List(71444256, 14021659),List(67404242, 27541741),List(54335498, 40199432),List(7503414, 50197926),List(84447385, 49336254),List(50106826, 29847829),List(73113784, 57044782),List(59861233, 42692023),List(11494941, 42197040),List(38113924, 93983501),List(12747782, 53163108),List(12779865, 87988146),List(64221805, 49366531),List(70250146, 91010307),List(90256286, 57664754),List(5068870, 31176421),List(46712760, 89279682),List(94603605, 96361924),List(13323040, 58900828),List(44524001, 61461306),List(373420, 18500166),List(8908681, 39524243),List(84445733, 28346088),List(45286864, 4092326),List(75441112, 83651798),List(71814546, 42382595),List(29538353, 70563651),List(91363002, 93707937),List(36295769, 14584996),List(31341495, 64580524),List(86340452, 68163629),List(54346714, 65062365),List(58755792, 19578982),List(51592522, 58421422),List(1473265, 9956158),List(5182892, 73682100),List(66290849, 40204361),List(93083466, 18410699),List(28788229, 26095223),List(52013970, 79580011),List(11002683, 95942376),List(7099328, 52514203),List(70674309, 11331655),List(38188856, 35099394),List(55083295, 43319389),List(84918558, 41971343),List(43594973, 24175987),List(88950242, 37683448),List(50605724, 18989865),List(15434348, 5741104),List(27855148, 23849874),List(80900513, 72459700),List(11622665, 9488324),List(37175785, 474443),List(80928971, 49857095),List(67760264, 82178331),List(90714380, 40615532),List(16663752, 95359997),List(19875075, 18096841),List(2274811, 24541069),List(89070986, 79139565),List(83398128, 49735297),List(49537817, 62189683),List(29607065, 20901362),List(19951923, 21015362),List(15025301, 48737830),List(88562387, 45349983),List(17438625, 98504278),List(66272445, 21304089),List(32183344, 57194036),List(81177526, 58869082),List(12363974, 71752572),List(14569432, 28882862),List(63836447, 45759018),List(34657554, 15826578),List(87505748, 32938751),List(94807798, 38809185),List(26548093, 615358),List(75509633, 82721655),List(60670057, 60163652),List(3789518, 75188291),List(11138383, 52746167),List(61953757, 82665126),List(96199750, 12186369),List(10327401, 99831689),List(44940413, 34269374),List(53114713, 52339687),List(56324332, 50226314),List(47237860, 331069),List(15514979, 5916225),List(24238235, 63761905),List(61841430, 83858356),List(73835403, 40848135),List(24368558, 85101926),List(52606221, 56500150),List(24973556, 50290739),List(99578127, 4646002),List(36296238, 21473383),List(79842625, 26662992),List(47724848, 24773897),List(67440642, 86637862),List(4644230, 83686034),List(87581979, 84052105),List(43401760, 32133812),List(65954878, 67215735),List(72503490, 87571100),List(38461295, 15595988),List(80241412, 37518252),List(32976161, 43920677),List(87923604, 60088526),List(89927668, 7014787),List(28317882, 65355483),List(28659817, 36266603),List(61799980, 64305666),List(63352121, 43950611),List(60698451, 9909469),List(35319776, 43031005),List(37903988, 59060463),List(35041623, 10800763),List(14847470, 74143673),List(69974524, 44445507),List(25317314, 89631361),List(34645665, 64637182),List(10997470, 49746409),List(82336770, 68520325),List(35721290, 80854165),List(66506676, 62022115),List(28981644, 37218370),List(17495854, 39455869),List(44949478, 2691169),List(12453047, 94904845),List(11260003, 39944796),List(64955867, 87286527),List(75540796, 97034571),List(42579197, 8318346),List(89632103, 59121984),List(23644810, 45389689),List(5474562, 65815074),List(78577438, 95415545),List(35375893, 72814407),List(39664595, 53699568),List(55063263, 56819177),List(69694358, 96056893),List(23729951, 43029566),List(22164783, 62415855),List(88007858, 19450826),List(66359709, 53614463),List(77354616, 98358694),List(29196789, 51804336),List(98041524, 98816200),List(29200789, 15764153),List(3856461, 18229353),List(71872910, 99133101),List(55947784, 23955706),List(99173763, 60068543),List(8865002, 57742962),List(1848572, 75513145),List(12382323, 39317671),List(30109002, 42885296),List(58172839, 86953513),List(19829339, 95292984),List(10061770, 69182959),List(83744233, 53102682),List(93124612, 23094496),List(97877511, 44473992),List(27696010, 29121554),List(4193709, 19640212),List(32539150, 53155584),List(67415382, 87180993),List(19996697, 78110959),List(57872346, 92675981),List(19909286, 54008592),List(50354338, 64262667),List(4385212, 7857024),List(78525997, 3422781),List(23249487, 60438525),List(69179285, 12537524),List(11395425, 80192315),List(37068135, 1804405),List(31039632, 88783722),List(37811494, 24147008),List(72025809, 98156817),List(84715727, 31385806),List(14096161, 80736891),List(79031263, 89511940),List(62706521, 12122394),List(82674388, 57052367),List(31978169, 84539506),List(20627044, 57369015),List(94338408, 8457537),List(32455011, 6320685),List(69871791, 67832789),List(11985500, 99078002),List(71177112, 73368790),List(78736404, 82313883),List(11600896, 83959531),List(30345017, 6378371),List(39323506, 55891567),List(77446522, 8829543),List(44647684, 76619057),List(95940740, 67937461),List(10693349, 93913415),List(65781172, 52201816),List(3760903, 28718766),List(7636735, 3961989),List(62396911, 56729857),List(445372, 75294894),List(38442428, 30895727),List(69971652, 64680000),List(41114497, 19506792),List(31260090, 41639567),List(27930264, 30427280),List(61901437, 57225341),List(47700858, 67257653),List(48840296, 77533905),List(40477011, 15081633),List(1969521, 97207474),List(79689603, 89651230),List(91130603, 42567103),List(27015500, 42858076),List(88745890, 2326953),List(88157337, 94934001),List(28199648, 6680853),List(19404727, 5563315),List(94470102, 53702901),List(18228140, 84278250),List(57569332, 43042788),List(29946900, 82305557),List(56016316, 7315210),List(10190005, 86923078),List(78924548, 77166091),List(89123845, 3223090),List(56660359, 12883730),List(47207055, 78194866),List(87528288, 10568075),List(98159370, 74313191),List(79203172, 64770345),List(15890564, 71726524),List(49980632, 19524695),List(68301680, 63394694),List(22431717, 90812793),List(26555633, 3688787),List(56694544, 86847528),List(6324853, 73291040),List(90885608, 2618256),List(82042930, 465746),List(23358605, 29379992),List(81341224, 83552669),List(69131114, 34347236),List(46837556, 85421470),List(77359360, 93167552),List(1180201, 23297200),List(18802655, 72066677),List(47099639, 26869276),List(347961, 84181975),List(19802189, 90940455),List(57062448, 91329315),List(26040377, 37567619),List(1715437, 80166633),List(93961285, 29198726),List(30222804, 38883507),List(56304083, 74890408),List(17135957, 64433885),List(60062126, 96697676),List(6776008, 39466817),List(42452849, 93400158),List(75987204, 54322212),List(6829610, 41843841),List(14646109, 83816106),List(88747497, 68541956),List(25467535, 41916810),List(68294149, 21873061),List(2354543, 64143077),List(24688597, 8012465),List(75466256, 84857282),List(66586505, 19430050),List(28478490, 16151482),List(25914571, 11740329),List(63404925, 5800875),List(56973195, 42754889),List(31409691, 21533386),List(54825034, 7985256),List(20583143, 65497933),List(34137553, 12523878),List(45336809, 63503409),List(26683899, 31186341),List(14179379, 43616039),List(857532, 31697090),List(45093593, 8619997),List(54337445, 72511952),List(87115483, 67716727),List(17809157, 65277180),List(7335806, 55196158),List(19910523, 88930196),List(43741302, 67174463),List(71547323, 72876163),List(88236782, 75690423),List(31150183, 45702383),List(56170264, 54575575),List(39038027, 24534016),List(95210582, 11344070),List(94261708, 45802057),List(93307331, 99720057),List(96991729, 71112484),List(37094766, 50435674),List(32393764, 7117383),List(79788085, 97031779),List(40360080, 45462718),List(24546351, 32531732),List(49264464, 7571435),List(53407437, 58209141),List(40796455, 29265814),List(25468098, 21761159),List(29306965, 1583826),List(71642713, 33109306),List(52640305, 78755805),List(55049332, 86151932),List(46395871, 30970269),List(18388113, 80818177),List(41566903, 26327916),List(27129846, 17357934),List(75350022, 91631773),List(55139560, 80438582),List(87790984, 48641828),List(62592101, 71733119),List(62072630, 95406316),List(31993327, 21761349),List(28199377, 46181382),List(28931081, 91396338),List(32835225, 36236828),List(33632332, 18650993),List(43522422, 21907904),List(27153942, 73246864),List(71134330, 86815249),List(54439434, 84713398),List(33626185, 57740934),List(825666, 73447481),List(32865207, 14468167),List(17250508, 32335737),List(42110343, 26992694),List(43144617, 33962829),List(2859328, 37726024),List(83521565, 61605003),List(79963054, 8376836),List(91101926, 43057278),List(23431726, 55700469),List(24408452, 90655201),List(44350828, 24059349),List(78472568, 20964561),List(81203021, 33770979),List(75572808, 21939281),List(81473201, 30769976),List(1683162, 56558809),List(24797745, 87815421),List(21045420, 95194767),List(87570683, 38976840),List(22226536, 54559504),List(89716628, 99073467),List(92176142, 66067374),List(11914889, 41431351),List(21701978, 41889188),List(69331828, 28174112),List(59361118, 59017859),List(40397543, 91723401),List(74388136, 59632520),List(18288762, 76978280),List(91363547, 56389027),List(81195880, 65535556),List(30002927, 65830887),List(69723560, 4833237),List(79739387, 66191746),List(12040492, 20925892),List(87037163, 99838138),List(31854218, 7989074),List(84311385, 30915293),List(65094805, 36140208),List(1762235, 57645167),List(19188360, 38671419),List(71043641, 57724349),List(45431886, 49604542),List(10890474, 26351756),List(37177637, 11032503),List(9734516, 74756716),List(67687308, 25354135),List(85533374, 83266988),List(32768331, 60979779),List(58929101, 95880388),List(2953458, 25617301),List(58554380, 16093496),List(19038825, 58828356),List(6464034, 1041403),List(53234488, 87044342),List(81414767, 68177302),List(50024363, 59545486),List(52404708, 90118947),List(2916585, 12716967),List(63739870, 93555147),List(20199367, 67067697),List(72763908, 57980789),List(65468694, 57353809),List(10795183, 66634878),List(39816012, 96003452),List(34582058, 54557213),List(1173575, 94526505),List(264121, 82303881),List(14985169, 99367479),List(87893233, 81298312),List(84407550, 35143833),List(47011404, 67736958),List(83350104, 81610146),List(67302455, 58719829),List(69712328, 51095569),List(31307715, 37991432),List(43742788, 49152676),List(25919242, 55030228),List(91969943, 80113955),List(88919268, 10768914),List(59379105, 71170956),List(56998155, 47284460),List(96413210, 69260015),List(57083651, 39699799),List(68682051, 48008021),List(94700179, 60796421),List(98800774, 75343015),List(61491359, 50204122),List(98302770, 37400304),List(82687209, 62188886),List(8118162, 29197675),List(69820410, 22127514),List(66502450, 90751167),List(79817610, 5677984),List(56785664, 87962968),List(75144590, 87570908),List(51370144, 88476719),List(44419311, 45169414),List(33585446, 84851630),List(70516175, 36499693),List(80689618, 49110367),List(35876717, 32205414),List(6513278, 90150545),List(67490561, 77384903),List(72455043, 60273904),List(30911723, 60905613),List(70496960, 38953015),List(50401239, 12201592),List(9808320, 14763304),List(57786749, 4350918),List(19416396, 84364494),List(49148991, 80799583),List(99121435, 10204180),List(15857854, 18003867),List(87231788, 70787305),List(77412117, 60186984),List(69673047, 20159125),List(48938523, 11480482),List(25431664, 66571184),List(2766022, 14037129),List(45569520, 87973958),List(82130837, 68048314),List(99433635, 79007100),List(87664560, 40959626),List(40804031, 78429736),List(43132750, 73931083),List(62785255, 31770378),List(63002354, 43519528),List(28039600, 36354803),List(49355277, 94347674),List(10689159, 45483227),List(94444031, 32546500),List(19130185, 64017022),List(75453991, 95959759),List(67977692, 75415178),List(23635178, 11004345),List(31907128, 70307018),List(9562837, 56972226),List(53239295, 20986794),List(57826055, 62049631),List(39027637, 1869567),List(44702044, 26637377),List(20906714, 17162568),List(93916125, 25612461),List(73380914, 77447748),List(67299356, 24952804),List(42787253, 52923893),List(11051200, 8344153),List(93687548, 91290011),List(63152351, 66649918),List(49152137, 95092130),List(25089163, 32120135),List(99351158, 26816138),List(57051055, 91324866),List(38575748, 8499051),List(70992985, 7833553),List(74522485, 13966531),List(44138982, 41177350),List(51810118, 52407504),List(21104920, 38447477),List(80690224, 66960132),List(32939912, 21990008),List(55639812, 2885385),List(17214678, 46254948),List(75808833, 57554578),List(72205338, 87967549),List(54408650, 3695188),List(13109498, 56513106),List(28102765, 8382158),List(34316329, 10106840),List(14128558, 35475533),List(65935084, 75025107),List(14865989, 76805328),List(69083393, 75042611),List(50734763, 28241240),List(22367570, 896599),List(53448113, 32041946),List(76159910, 30122178),List(32217564, 17848682),List(37399908, 22873576),List(94835539, 35611816),List(58165033, 89019302),List(59626450, 89967593),List(75481195, 88934455),List(46655978, 3799300),List(79015046, 92770948),List(13506336, 39561816),List(78893322, 18061181),List(66659293, 60596453),List(52964121, 93306224),List(14007891, 5994082),List(41184778, 20555943),List(38464209, 47682687),List(62429233, 4743234),List(18960744, 84845834),List(16981145, 24999455),List(63823619, 75597905),List(11660375, 9582178),List(84682305, 85256268),List(34182786, 83055030),List(69125169, 66236272),List(37186325, 69494914),List(50144056, 28212730),List(44603172, 12155779),List(40657492, 40382174),List(99109695, 85554099),List(92230931, 28198509),List(64336947, 42223515),List(58425685, 59837),List(93955422, 92245890),List(46815455, 29103602),List(56110760, 68178730),List(11701886, 12547180),List(79601145, 73312191),List(23094242, 43749734),List(36072683, 8888097),List(57870521, 26649785),List(65438543, 95092095),List(97982731, 8281544),List(69882328, 50516075),List(99228184, 84559320),List(77964431, 65746155),List(79968882, 29086778),List(577656, 25486802),List(88244556, 33729027),List(85364526, 66305603),List(99811056, 4375441),List(16818067, 32074143),List(20393255, 34648024),List(24293391, 74525508),List(97733754, 10420172),List(15943259, 53558391),List(32529205, 47926230),List(63965315, 81455336),List(63206775, 22480700),List(1386765, 34477987),List(94606460, 80773540),List(6006115, 43252916),List(89173491, 91466093),List(72121763, 47403694),List(75700238, 83307252),List(29504414, 72979819),List(50933563, 40869227),List(88599953, 45981517),List(98193304, 883571),List(89692317, 43442044),List(90445677, 42563313),List(7074445, 88505953),List(42001633, 72859573),List(79435252, 67586918),List(39674717, 5929606),List(38580219, 2991372),List(34833031, 37167490),List(4765177, 59395715),List(47343477, 15399249),List(21773915, 89316781),List(96577753, 54921199),List(50920778, 43834840),List(60555109, 55614311),List(10176320, 89496332),List(38767903, 96089986),List(6577632, 89342137),List(5901515, 79133199),List(55641605, 48606177),List(67882774, 2630148),List(19878165, 96878441),List(53892351, 76307642),List(83646829, 56664652),List(50885494, 25691430),List(24355144, 70419918),List(11753902, 47570261),List(28177719, 79579525),List(8575463, 1050625),List(32231527, 83017587),List(80573709, 53355267),List(21381988, 50048474),List(28615262, 11756465),List(20835696, 52638343),List(97319702, 44054655),List(41965925, 60923145),List(57535579, 59479741),List(47691136, 40016161),List(11366315, 29986947),List(69387574, 98729274),List(90680730, 52726567),List(29971716, 43173070),List(92408356, 22172552),List(69633998, 11391580),List(66015214, 32580945),List(63225328, 94571225),List(84690032, 92244156),List(69190529, 1280291),List(61371689, 80467057),List(37290575, 59258229),List(28801656, 10231269),List(59626206, 35837717),List(21389479, 49238685),List(18236539, 47987666),List(38948618, 98963259),List(94161341, 85460306),List(88798705, 63396549),List(21209179, 30165891),List(3634256, 32476948),List(2980164, 76365414),List(71012128, 20493021),List(18489111, 47862809),List(86820289, 92342541),List(63799424, 43318911),List(34279324, 83005974),List(67099126, 93106947),List(52673037, 63989569),List(28976921, 23688449),List(75012774, 82169878),List(82009112, 24211176),List(258596, 76147997),List(28239299, 18500752),List(21691263, 41173493),List(68413387, 19180073),List(25934727, 19333260),List(68057947, 22396114),List(13407946, 49861314),List(2192915, 55778886),List(91972094, 4788945),List(31195061, 35307798),List(15708873, 17198205),List(10812346, 7260479),List(61442308, 62215578),List(40704578, 30493073),List(82036412, 97477331),List(93181533, 23346433),List(31820966, 40027616),List(4649921, 66613455),List(85788297, 29133644),List(85091188, 31701900),List(55161676, 53629839),List(38624501, 22525479),List(65334478, 30542350),List(94271494, 63054766),List(81401540, 11996280),List(64261334, 93677836),List(12805740, 47639827),List(9211331, 99097305),List(40275003, 86048962),List(10648689, 31720231),List(92614962, 65919197),List(98227494, 97534051),List(68019517, 75290848),List(24192672, 71429059),List(90031201, 88546006),List(43968237, 33727822),List(46940045, 6942810),List(56122461, 90311093),List(54626499, 26684654),List(87144583, 21286575),List(99792105, 28221858),List(46812171, 65542023),List(6180073, 48395387),List(96993041, 92064167),List(28948738, 56174074),List(8730293, 2715092),List(29262086, 5940843),List(22397300, 66315919),List(83918252, 15769504),List(48168106, 59891005),List(5188032, 46574358),List(27710153, 89725221),List(50149967, 37801579),List(40732574, 48189733),List(33288583, 70644140),List(99098864, 77390014),List(19085304, 74557138),List(20890904, 48652343),List(88263725, 81780808),List(47583033, 61159538),List(40890895, 69795532),List(71080359, 41454963),List(30703371, 88831530),List(24309557, 41612556),List(97973637, 80814310),List(74572163, 88941770),List(9541467, 70046923),List(16220414, 97237983),List(92960527, 95754186),List(66533708, 4179288),List(71381520, 51890851),List(19355147, 29141298),List(60683018, 12565598),List(76523051, 50574856),List(25395284, 6323196),List(56409408, 74792707),List(25760375, 58676987),List(57554002, 62978513),List(10627056, 54181583),List(68820725, 15398988),List(27991611, 83284096),List(49109042, 54485688),List(45522766, 82826406),List(12955694, 9164680),List(23940401, 82717546),List(63169140, 76695926),List(86314912, 33735237),List(11383834, 67789061),List(11131553, 57160537),List(16318335, 74962173),List(86679830, 69282244),List(4426593, 2466478),List(12244788, 55910736),List(23536516, 80285714),List(10743705, 52529401),List(83838129, 9154818),List(5328527, 11623283),List(62926563, 68719932),List(36832834, 53985753),List(22790090, 377420),List(93231283, 24956392),List(31777343, 47410909),List(40232591, 68722619),List(66837121, 89452633),List(21048980, 21680809),List(32643512, 78522661),List(14686027, 14684002),List(58868992, 37359695),List(52890979, 72436743),List(38278686, 94453523),List(42647732, 24113360),List(32766446, 41921030),List(77619611, 54548315),List(59250686, 73702221),List(27712991, 63226969),List(29145959, 12621469),List(19077974, 42628255),List(97169695, 82945558),List(15958725, 45734577),List(44811109, 20355162),List(40618226, 364340),List(93530204, 67621509),List(49261363, 65208787),List(28385020, 44027243),List(96500468, 95070327),List(15393241, 49372261),List(8554837, 29060172),List(7364272, 33092155),List(63795327, 69601079),List(11270228, 89251432),List(27904953, 96624895),List(71869427, 71881400),List(46131559, 77905564),List(18522777, 52815704),List(94144078, 55321269),List(49951493, 58100035),List(84498361, 11383847),List(98522588, 68375557),List(24995997, 29935032),List(37509287, 12648223),List(5394013, 19481420),List(6011818, 91380910),List(12618662, 23358315),List(51750968, 99840089),List(41300358, 62903373),List(26114566, 92792229),List(73258629, 11284097),List(6885596, 59576904),List(73826788, 99420686),List(78700931, 91650939),List(54783414, 15838692),List(37151456, 68312550),List(48664841, 88551787),List(69519554, 88146199),List(80564789, 7245704),List(94701462, 466662),List(91017555, 55849170),List(18256725, 58268305),List(52084838, 95516114),List(48141205, 17333724),List(67938486, 15346548),List(6343348, 32441345),List(41234101, 96918649),List(1785395, 30911786),List(28840296, 95550808),List(75185742, 39673253),List(56177588, 60886933),List(31158941, 42010950),List(61934352, 49393886),List(11314032, 18945033),List(63688179, 84482843),List(69440489, 86654877),List(96187306, 72307589),List(46259697, 95067274),List(46622804, 39047348),List(45660853, 19750305),List(43854080, 79021404),List(46805375, 61678730),List(31897191, 63394922),List(2576289, 21613069),List(41931252, 33976776),List(9627526, 70100091),List(38291961, 80659423),List(11123623, 3582110),List(97105357, 88926017),List(87699383, 25709417),List(31114259, 8417284),List(64021524, 71351696),List(34659238, 53755533),List(79667832, 68173848),List(57336289, 31866868),List(37019574, 86050979),List(8838402, 84398666),List(89373662, 93550596),List(2540692, 78549446),List(59610787, 4614979),List(69235791, 97545119),List(64563067, 69022126),List(87383437, 8112884),List(71494531, 11577631),List(70497982, 70854833),List(31337585, 59903992),List(2114591, 86596046),List(58160929, 65843037),List(43994386, 86252828),List(52165113, 73289051),List(32936923, 63027337),List(74545970, 69534115),List(89345799, 47887160),List(61871280, 99370725),List(69977990, 89744719),List(47068076, 67300064),List(51894741, 7393898),List(99625360, 74681566),List(43151415, 16546650),List(3747766, 14323133),List(93121794, 85185331),List(92810624, 24144319),List(84979898, 44983407),List(94888794, 26617274),List(73457963, 1508511),List(56813471, 25724557),List(38418263, 74256242),List(55926230, 67782039),List(70322679, 92135649),List(41584472, 11977116),List(30768330, 34950490),List(47500671, 56752276),List(36529877, 99957970),List(70443214, 24910925),List(36306853, 59896141),List(35779931, 36768093),List(16761345, 42243831),List(53890088, 30513202),List(30858152, 21861958),List(60620730, 7492966),List(51891305, 67160667),List(21202277, 82512484),List(35459152, 49514961),List(25227733, 50349849),List(42648666, 5950511),List(10524531, 79875057),List(26050790, 17601767),List(77383186, 75127274),List(42698699, 24109816),List(47025422, 35779143),List(29420981, 95124739),List(1015644, 53296129),List(61883616, 79413852),List(78394862, 40334916),List(92805838, 52924782),List(41002168, 4848565),List(86880672, 64916298),List(59341184, 31289156),List(91064660, 54121648),List(5700124, 79118798),List(58348032, 89393287),List(62326702, 62947521),List(98450488, 76103369),List(76461708, 39027672),List(47429343, 44909687),List(50238846, 97621428),List(73943755, 15548118),List(22092246, 65278980),List(30019529, 74112922),List(53914830, 43000833),List(48307986, 34689056),List(4425377, 25046946),List(50584449, 66319891),List(82481734, 8425679),List(83612607, 97503453),List(91896600, 7355909),List(27247412, 83977909),List(58911794, 22135274),List(58615003, 97730125),List(63807428, 61629279),List(70655979, 48861206),List(5876093, 1935152),List(88137057, 64661427),List(38990126, 31168714),List(59411659, 98011440),List(56229741, 92387930),List(7058846, 94419374),List(69659593, 77847021),List(52353051, 25519670),List(86295866, 58048773),List(72363415, 3413831),List(64593427, 51282333),List(78615845, 88014728),List(90496547, 50505300),List(73356947, 9092839),List(93966395, 81670619),List(83906934, 14837512),List(29374112, 62417642),List(12793233, 33447229),List(65270176, 25432091),List(47559144, 43234916),List(87039619, 80461344),List(23161964, 84550523),List(41945189, 12858353),List(88592453, 31091717),List(38980185, 94483512),List(46791609, 99163980),List(90155138, 5652598),List(11975693, 88081539),List(86435576, 16411610),List(93643209, 3935822),List(20704127, 47912539),List(18197711, 39891787),List(53452112, 32821988),List(29163836, 15340342),List(82974343, 24204183),List(59835426, 48772271),List(21383987, 88349525),List(16180440, 52615977),List(75174162, 15306033),List(44799259, 9172039),List(223126, 14753219),List(17041749, 87636735),List(51008623, 48414356),List(75055328, 61394193),List(74688568, 65920409),List(4451663, 87528152),List(12181704, 47277118),List(46278841, 60423466),List(80869953, 61633628),List(26758105, 28903766),List(23783034, 85361625),List(57571114, 13784012),List(59371403, 69446281),List(92477773, 45610789),List(16429686, 86936102),List(77979400, 55247484),List(90248557, 77332915),List(98159617, 87133167),List(52911117, 61684498),List(50035345, 39504561),List(27138978, 30611813),List(81118850, 63919674),List(11113530, 41882097),List(18002272, 86220977),List(68370438, 99293142),List(74804519, 45983978),List(34619752, 92810627),List(33907716, 47668925),List(62294362, 26854340),List(74190363, 31144915),List(64331653, 6106079),List(21338070, 71147533),List(51456835, 48496537),List(59316862, 33262459),List(26108984, 11305478),List(36683854, 72028703),List(78124110, 12990309),List(15619162, 92105690),List(52594247, 57401769),List(87914847, 93146132),List(57277332, 18228845),List(72848412, 79729574),List(74293627, 92932114),List(10984377, 29226838),List(4180416, 98861348),List(35822844, 62678103),List(57262814, 69660820),List(89644600, 2891396),List(95612465, 92539391),List(94529218, 62807337),List(73669905, 33230147),List(61860381, 19802435),List(45811859, 62051810),List(53366464, 95933103),List(13504612, 5014461),List(75502420, 20782313),List(27905760, 90663813),List(35749983, 3644383),List(47024934, 44151453),List(96641472, 46290103),List(2685620, 77983410),List(56448142, 60751992),List(49555578, 95110211),List(59747943, 73365678),List(84454477, 50636664),List(91211946, 99102711),List(7368220, 33192499),List(94888663, 53801055),List(3462978, 99119850),List(43697516, 51755219),List(23617970, 86396330),List(62932519, 23629909),List(65301658, 70974626),List(2253557, 63417312),List(79076734, 6213762),List(80428136, 32222246),List(29006030, 46110288),List(80665666, 74739522),List(56296586, 41777147),List(37991760, 52048180),List(12279849, 84800260),List(30517289, 70845815),List(30462507, 33835075),List(46768773, 41095625),List(53662586, 17782953),List(46604496, 19293586),List(11211515, 58030172),List(63371657, 60116232),List(28134925, 6616864),List(89263286, 30728579),List(2838821, 27866216),List(26498253, 72936213),List(13620315, 98519267),List(92017144, 93582255),List(6653708, 28294685),List(79432148, 51735703),List(99559531, 60850041),List(73063791, 50725006),List(28640110, 76338126),List(94451298, 35270849),List(89164220, 56612826),List(33305462, 72623013),List(71933276, 14241663),List(62253332, 43663776),List(70120005, 11272656),List(37218845, 98714173),List(62399563, 32143067),List(95447910, 58599868),List(70767562, 59816972),List(69787642, 30583081),List(65721085, 37644293),List(97412879, 71327273),List(17254260, 59370779),List(22574155, 8239805),List(64695745, 23554951),List(99024449, 61024424),List(65687472, 97887760),List(29576526, 20280602),List(8225441, 3130064),List(34325416, 19760229),List(37259168, 88029164),List(98643218, 76612440),List(12412677, 30683100),List(92678392, 57667094),List(53110527, 90050159),List(34331236, 82070345),List(16927637, 15426179),List(66962065, 97516637),List(11789408, 26297175),List(12709455, 75598422),List(48048052, 54854057),List(16466125, 8099236),List(92316396, 74387944),List(99557166, 79927806),List(57688505, 58226875),List(55532079, 56306749),List(98107451, 88420288),List(6986179, 25975405),List(22727653, 66970309),List(44782945, 99208038),List(28691031, 53172350),List(40468559, 12122769),List(81508168, 52777016),List(19596579, 27919091),List(22665251, 58028960),List(50178235, 58873002),List(90086268, 47455698),List(56210020, 99293588),List(79908818, 63379874),List(36789066, 20757725),List(14795430, 53526694),List(77349053, 86928084),List(57885489, 81847014),List(99366533, 80515327),List(31264466, 39011751),List(78468408, 33197387),List(1778446, 20289104),List(17453262, 10201803),List(84781373, 97564039),List(36371132, 71639914),List(79237380, 24880950),List(64925781, 1177458),List(90384982, 15032651),List(72609505, 91285749),List(69344334, 16512912),List(14212854, 4677137),List(33991929, 28057424),List(28639353, 97086254),List(63134816, 1767396),List(91488612, 90867316),List(14502774, 19006698),List(97773860, 38455886),List(67353476, 87141272),List(2471490, 56206333),List(22561844, 1667731),List(28435447, 77757652),List(88040139, 45883680),List(30052920, 22979465),List(33966, 77514474),List(67577620, 23342753),List(97825093, 87767070),List(49558762, 61576978),List(54829253, 98165523),List(54418003, 65289026),List(6127419, 51392373),List(69464200, 79873378),List(90082373, 8090331),List(5915116, 5633354),List(30366278, 87883584),List(80482529, 40836309),List(7017764, 30842145),List(13259880, 51691355),List(97693732, 3163003),List(1338590, 15282784),List(84560752, 53698739),List(85221026, 23218730),List(30878559, 44507230),List(47262685, 66349364),List(9393977, 76919036),List(62444611, 35544490),List(46950504, 63675066),List(72059892, 7503869),List(36814498, 43339440),List(62097925, 28999407),List(23164860, 15604756),List(29808916, 62488883),List(89657390, 2171129),List(6159123, 36893318),List(83984757, 74426805),List(39148858, 7082662),List(8408103, 67560398),List(10281169, 2306121),List(38549229, 39579063),List(36815570, 19850309),List(21989933, 24986654),List(85579541, 40590378),List(84256754, 19955613),List(47215551, 24224001),List(59280025, 32106689),List(26853649, 12515588),List(4651751, 57782029),List(7657809, 2147191),List(19769567, 64084304),List(35232317, 63711837),List(39616240, 30177280),List(27185027, 54951842),List(44256407, 96731040),List(34201613, 41687284),List(47190927, 73717192),List(82224035, 51274069),List(77899779, 80285346),List(62186456, 13987249),List(95385192, 82344258),List(29940557, 94715748),List(44256564, 57092992),List(38429856, 31559129),List(48048903, 84353952),List(55558112, 43336576),List(79554157, 132425),List(68786321, 56860633),List(92687828, 49789439),List(68396881, 67723609),List(59856003, 16882386),List(67868011, 30581638),List(50099106, 87239465),List(27960445, 21833934),List(34269515, 28862246),List(60906007, 85280367),List(23823631, 74925450),List(52317237, 72081130),List(22286500, 20604246),List(14444768, 64953122),List(9029019, 27080198),List(14458049, 84434353),List(99864949, 18995358),List(93329885, 50029493),List(26394952, 6595848),List(55764635, 26316476),List(30017360, 81674360),List(37231066, 25708136),List(23072715, 16301985),List(12904540, 25918224),List(91051768, 58557830),List(70316734, 59348836),List(79955306, 71829934),List(61868561, 65647700),List(64117631, 59789738),List(33275869, 67717828),List(34084116, 79465097),List(33088094, 92354272),List(36935056, 80589863),List(80067726, 13339295),List(86981555, 10287798),List(52173539, 93070261),List(13536199, 47534515),List(12826676, 99669518),List(15137443, 66221025),List(1586548, 93441887),List(4223518, 69838856),List(2208154, 27070618),List(97651491, 57834139),List(78806571, 22081518),List(86433834, 93426633),List(80409909, 2457212),List(66704273, 4097594),List(79530044, 72424710),List(45228370, 61934528),List(54792503, 69398388),List(73240945, 34774468),List(69627096, 28400207),List(80990913, 40761480),List(20813689, 70019510),List(7811907, 3432695),List(53850014, 74085170),List(28203679, 72876317),List(57377637, 12814736),List(99106683, 27529253),List(69338773, 4089243),List(57968851, 66707467),List(53895836, 90008204),List(84705147, 43623239),List(62445493, 10576094),List(63281867, 18912995),List(49292291, 31288841),List(68489783, 19934528),List(52280604, 21349023),List(38075590, 90624273),List(46599215, 89547312),List(33863939, 82828020),List(59400724, 79864565),List(23688510, 38110745),List(7035936, 22941747),List(10117117, 72808954),List(42596694, 27742825),List(42816762, 80805475),List(24728482, 27010985),List(19785493, 87918309),List(79716244, 22269707),List(83127683, 72039683),List(30641334, 86181041),List(79628125, 24089079),List(98387191, 61613486),List(65123173, 3696954),List(63176495, 75669084),List(35930022, 63993620),List(60641160, 83336881),List(77029262, 29063225),List(77171155, 79320132),List(46359084, 44317089),List(4873653, 94800028),List(39770448, 23884214),List(177816, 60873215),List(29458682, 49882490),List(99338175, 28900172),List(92285773, 24627041),List(80816236, 65495130),List(98142814, 15275511),List(47702785, 63373898),List(77586992, 77950082),List(65845027, 98168593),List(35242077, 13638392),List(87807177, 6775450),List(16913069, 75280425),List(77300338, 48916140),List(842774, 85566332),List(79870521, 46920075),List(75341955, 22089506),List(2725618, 38884192),List(21049660, 98598375),List(59660249, 14347013),List(96374970, 6659091),List(2690909, 59699069),List(7532866, 40401983),List(63396375, 94920089),List(23311661, 69247414),List(3055281, 5275132),List(72133567, 72529652),List(56353135, 36133817),List(97014193, 14404967),List(23868724, 20288434),List(84941292, 81946679),List(37428303, 6787389),List(22319290, 71061327),List(98100831, 48378922),List(91310265, 33388618),List(79630432, 14528762),List(58088920, 68254454),List(21027607, 27813088),List(26793554, 28068737),List(99540752, 53212153),List(914574, 2404982),List(19969648, 95179911),List(85048083, 34291894),List(71662980, 79023636),List(7904542, 20119706),List(78851870, 57192220),List(27149131, 68031733),List(38881948, 74580639),List(24779727, 26236937),List(34874629, 74083358),List(5949797, 47403006),List(37575934, 14339398),List(42041374, 48957287),List(50431780, 56456670),List(40125782, 97379620),List(97498111, 84650118),List(57371324, 65321610),List(71864618, 52121996),List(54834894, 55361819),List(67077065, 16502865),List(53586116, 31486520),List(69483205, 47255211),List(4291236, 31975580),List(72379940, 87310966),List(7278291, 51143060),List(49595505, 48189396),List(79563227, 18209744),List(97189273, 47585452),List(989443, 61080569),List(24069663, 13505603),List(52481112, 3362386),List(4094125, 48949255),List(6827686, 19009004),List(415765, 26547262),List(72399439, 91088074),List(98483231, 62946692),List(44971310, 72352483),List(62677184, 91213343),List(48283479, 12466204),List(10471237, 21537993),List(19107620, 271029),List(64683956, 57445078),List(66082851, 47617474),List(55953541, 9448957),List(32559089, 84745764),List(13544070, 8289212),List(29753580, 66280319),List(47590485, 62526850),List(79901511, 64890171),List(64110020, 23125175),List(51345669, 48963951),List(1515057, 79756267),List(8353754, 48585573),List(95498632, 82049967),List(14122954, 50701046),List(10049966, 66928774),List(91860067, 39572079),List(7728955, 4329587),List(5121032, 8646267),List(73537997, 84727753),List(66868150, 51287429),List(23202450, 12503780),List(1828230, 9684078),List(62828766, 71540798),List(32077646, 82040619),List(37807858, 42765283),List(40940420, 78274610),List(62735052, 63722716),List(15940251, 90267103),List(34559992, 2108387),List(35854194, 35794339),List(14147360, 28807311),List(99097236, 40658852),List(58300071, 7950402),List(65386754, 9445909),List(77796576, 55120927),List(35541678, 88610840),List(12942131, 31595696),List(80216361, 92608666),List(70089140, 61850632),List(78680392, 63572054),List(17955846, 51679646),List(59488353, 89930732),List(14911251, 87705142),List(71299909, 41159494),List(26271074, 66591202),List(70207063, 58984407),List(12935215, 5951605),List(24588200, 51842607),List(9474656, 4651358),List(49583040, 70829536),List(15905765, 27726121),List(35173762, 49297160),List(49743725, 15093804),List(91140969, 68454960),List(95494161, 82435212),List(65679104, 44783892),List(41369729, 92813509),List(71618513, 67262221),List(81876753, 69291347),List(77117354, 11849562),List(23998861, 38136861),List(4116336, 31111749),List(63808424, 356395),List(36633114, 12319310),List(34623152, 78126381),List(89319925, 68123124),List(50883422, 49111556),List(89387435, 72217820),List(33876135, 30863131),List(38577279, 65030679),List(74384270, 43919941),List(87955705, 23351865),List(99274400, 92942247),List(1110772, 54016382),List(85083822, 11198971),List(85453268, 28597337),List(30698961, 86105320),List(4828296, 44967896),List(99808033, 23914791),List(35469826, 1660046),List(92460838, 13434673),List(91890443, 94431547),List(55084261, 36720433),List(5141851, 97900539),List(4395692, 58696003),List(55810246, 70091795),List(24774537, 17864420),List(95502787, 62439505),List(45613706, 11067838),List(3288475, 35416478),List(65588694, 25579806),List(6558757, 97740364),List(95204700, 70473490),List(91744037, 47264872),List(66991321, 75439003),List(56038623, 73940794),List(52637645, 66221313),List(67590393, 85548984),List(63066927, 75065317),List(14309467, 51188834),List(83676325, 99458245),List(98061538, 73984809),List(76660225, 18453273),List(46243022, 35645229),List(37567223, 67148926),List(35431129, 33575428),List(74039601, 71494478),List(25430523, 67013942),List(5766212, 74541582),List(91292390, 30803581),List(22651877, 50811131),List(20938577, 54529729),List(27187667, 45566425),List(69562371, 64778334),List(81395224, 81500761),List(20515770, 61810453),List(83848436, 60095369),List(92384172, 48104237),List(86042045, 60192148),List(51809905, 6637624),List(56542481, 47350993),List(16193950, 91514478),List(64215363, 58536907),List(58639310, 78420616),List(36958093, 93408327),List(54414117, 73923785),List(47807361, 17242445),List(2182538, 44000314),List(90020530, 17631140),List(83176852, 89080885),List(9573828, 32937783),List(35759944, 28252464),List(28953706, 87082056),List(19024949, 19115442),List(7891365, 19606601),List(28498330, 77350075),List(57278845, 7324445),List(88985418, 67454739),List(90559, 15252822),List(38723301, 20067366),List(17783400, 43039767),List(15979649, 18426589),List(52938986, 67925971),List(42960161, 82901104),List(9506730, 30183781),List(46738379, 80566200),List(98926636, 86710042),List(95640236, 41382637),List(67336803, 94527124),List(65706082, 24068234),List(19347158, 333849),List(73808550, 43628064),List(39158638, 24637964),List(31557653, 41678171),List(54084791, 35064633),List(99160201, 86172473),List(50282640, 99905504),List(68028080, 15188249),List(98260509, 59186854),List(3290655, 72152762),List(54096991, 19791788),List(32717052, 14211794),List(28960304, 78060415),List(75258643, 21045075),List(95414419, 73100614),List(24646032, 96107218),List(81546825, 47710423),List(82779297, 15112292),List(64897744, 81443507),List(28272852, 47949466),List(36719964, 23854545),List(55714846, 30872609),List(38223691, 71743827),List(87369448, 59773973),List(32935823, 34624589),List(30418642, 78999070),List(40364463, 88499884),List(53426847, 23380632),List(84005521, 69891543),List(40311571, 29260491),List(64649085, 1341260),List(13395774, 39865479),List(31741701, 56455525),List(44749960, 79273232),List(95386348, 97415563),List(22778235, 31859144),List(88801282, 15995234),List(85900211, 35205494),List(65845205, 56281682),List(9033227, 20114612),List(21578871, 4754531),List(3530017, 33705160),List(26690235, 57818719),List(33092900, 80403307),List(1450263, 76648442),List(10017944, 5575286),List(28766501, 53359116),List(63314060, 3107946),List(60882913, 9958320),List(67577628, 16231397),List(83473212, 13409757),List(65598856, 10185407),List(30367790, 16396903),List(16629791, 53154614),List(63794575, 73779341),List(77988366, 96398308),List(81785096, 72356150),List(39308800, 71509781),List(92198709, 46195705),List(92616283, 44302262),List(93841840, 86192813),List(6872169, 89916792),List(79432259, 34910814),List(69276389, 14960414),List(19026990, 77359280),List(29816062, 79514483),List(4655436, 35043949),List(49715840, 39594156),List(86473505, 21633922),List(71813499, 82136087),List(34321869, 63146261),List(31640739, 59605886),List(32753172, 88662982),List(79290093, 36091911),List(53120209, 19366902),List(7094586, 12326864),List(93996209, 68255698),List(33970928, 64835839),List(34052090, 83709287),List(58918446, 58791189),List(44687627, 15350078),List(85842510, 3451049),List(51283117, 18706172),List(80563822, 72623235),List(44220495, 69315297),List(61195987, 1815289),List(97953107, 13235050),List(12151905, 1720019),List(31594213, 58738457),List(75086144, 69435389),List(98395657, 14731184),List(70260608, 88651443),List(9024562, 36999366),List(51334781, 20518157),List(95211664, 5706423),List(85136341, 42601207),List(26001616, 5757895),List(17910337, 65543316),List(51256135, 83945793),List(10167623, 118942),List(69561480, 39290261),List(9041658, 51542228),List(6463529, 41931926),List(21261542, 8798351),List(43468217, 87102395),List(87055226, 7981675),List(50693641, 3213248),List(64791963, 24291314),List(94359391, 31611475),List(66467978, 43486406),List(18537318, 13648779),List(28975000, 22300968),List(42092705, 77928266),List(91457154, 4725649),List(2415958, 30886467),List(49203855, 34432666),List(68773739, 99537334),List(57012870, 63746548),List(88392027, 48003982),List(36550300, 29089637),List(87973340, 51991478),List(80913355, 7843141),List(35136122, 91819648),List(83106302, 1415044),List(43092077, 41177668),List(5864428, 60545814),List(14999087, 60107170),List(1220115, 25846196),List(99681097, 58166724),List(49222482, 41502350),List(20734912, 82940539),List(97419042, 72953096),List(81670238, 11716479),List(65077595, 74610290),List(90336656, 60976018),List(45468796, 30692444),List(85588487, 42814849),List(66084788, 81019634),List(13503244, 15171882),List(29375576, 94930782),List(17277929, 41130353),List(14811834, 23314915),List(95403390, 69231734),List(46401700, 9801136),List(73488362, 72360269),List(78902680, 5182872),List(77002074, 74582101),List(50901324, 19820739),List(25470131, 37126919),List(46251450, 5649926),List(33266305, 77064756),List(34649966, 52738212),List(52617507, 17353182),List(21083020, 18868349),List(23874529, 57361070),List(86293881, 57961353),List(48787461, 59742745),List(86021393, 97900885),List(11716015, 9068298),List(88484071, 58840893),List(58491450, 18017209),List(94106093, 62331671),List(24652496, 36455778),List(63831304, 9008492),List(36160921, 34906800),List(7344710, 59567565),List(45615838, 24138739),List(72605314, 74545495),List(99058365, 47430700),List(46036019, 75371169),List(74904260, 32752519),List(27830650, 46017995),List(20786660, 85061838),List(7241687, 82988236),List(68095871, 3705612),List(57592659, 57205557),List(78984951, 12255578),List(60977062, 39881934),List(32002143, 74412298),List(84530982, 33796526),List(71050107, 23556814),List(44793655, 28033998),List(57108421, 46533634),List(29035012, 69567427),List(76088477, 24477790),List(10306461, 1498708),List(67675899, 35685087),List(93483202, 2332409),List(41592652, 7095527),List(55474920, 2571503),List(96100196, 92649777),List(65265736, 54135465),List(31544071, 82852350),List(7525820, 1909540),List(71796157, 45788364),List(63443658, 75936635),List(1545065, 89333198),List(35897056, 82248398),List(11034510, 80594586),List(33184784, 60439175),List(86101696, 60483577),List(65576751, 41263105),List(67587282, 41241672),List(140840, 98736813),List(29462941, 91429411),List(15683188, 4280785),List(81581351, 64500387),List(17216580, 57690009),List(40068568, 90751380),List(13182774, 40119256),List(52890022, 61858497),List(19621327, 99807741),List(94751066, 18766654),List(33791620, 46822367),List(80822481, 75519185),List(49740886, 40575377),List(34055909, 86755334),List(24929522, 55568085),List(17684346, 52913371),List(92687524, 78478985),List(54272734, 37326224),List(97749456, 85177691),List(73134667, 72812939),List(55424892, 9349669),List(93431749, 86264305),List(55572653, 3137948),List(32107781, 67686592),List(14125163, 29068562),List(21077164, 79880225),List(76965922, 96092827),List(25542677, 90524397),List(97703537, 85504140),List(93396516, 86088426),List(66275510, 72864534),List(8015423, 1726010),List(7825575, 82242227),List(20528327, 22805516),List(70635229, 37098051),List(14930365, 50660917),List(55528636, 7992482),List(51361616, 67192604),List(30860935, 99964759),List(32718308, 3274231),List(75443250, 89134552),List(89392268, 55256347),List(16300901, 18799370),List(73818290, 71261414),List(18525329, 34222086),List(2250079, 76869602),List(80537946, 41542838),List(71542123, 50129818),List(49203344, 88153427),List(23294411, 50687348),List(92678728, 19959246),List(49728819, 3725543),List(24276110, 25473228),List(85155115, 7672690),List(30780326, 33923304),List(48852411, 26555576),List(45114163, 81810793),List(30812983, 54820007),List(52362770, 84556193),List(90339617, 49847435),List(1014090, 16316735),List(79001155, 48463220),List(53531463, 28972915),List(76248608, 70166109),List(45711354, 51259435),List(66896699, 28062110),List(46080080, 8997638),List(12555408, 40227678),List(74206050, 19446935),List(64396792, 87300094),List(60986563, 21327331),List(44342419, 70935917),List(41928644, 9619328),List(38645434, 22288837),List(94932961, 80356029),List(60618017, 40022409),List(92083852, 45996122),List(30723563, 95866214),List(37070323, 213594),List(28884924, 8843409),List(12297526, 34871390),List(71960176, 69694117),List(57042678, 11519219),List(12380862, 32376616),List(44641913, 44316418),List(95275194, 725042),List(80242492, 86782567),List(27315283, 57705798),List(1539426, 85527147),List(84370359, 5752823),List(85616612, 32999939),List(56785144, 95194246),List(88124169, 79877234),List(46444617, 67736081),List(71710151, 8676178),List(68143374, 21560441),List(60585528, 82478218),List(40691533, 22406175),List(94820505, 85117993),List(21657511, 25145977),List(41932038, 89455440),List(62847549, 65287250),List(83486703, 66302916),List(77567033, 57159834),List(43845106, 98776501),List(70121928, 40977117),List(86746329, 81286467),List(83783816, 5385942),List(43976500, 57362581),List(34728901, 89062934),List(26072971, 28898159),List(78435019, 86087430),List(62364584, 64729043),List(712477, 70138052),List(19503915, 4806450),List(29345814, 83546360),List(36777857, 48008564),List(73152735, 32499671),List(91721708, 17616454),List(98719580, 26690637),List(62927582, 19767085),List(94952003, 44250547),List(78767465, 96378229),List(3319006, 50385347),List(80671672, 89034845),List(59040541, 21286152),List(33252791, 70601192),List(26664301, 46637643),List(81488595, 35441369),List(97645682, 28651300),List(43753032, 7016483),List(55555509, 69967598),List(73195701, 97985963),List(10919889, 40691018),List(2548936, 40048241),List(20296445, 44471515),List(45359254, 32236609),List(11317792, 30373523),List(68924044, 27759703),List(66229218, 71801072),List(20862640, 49771460),List(82074200, 2238152),List(44339121, 85021055),List(57860358, 2076053),List(48356017, 69593443),List(71300608, 7388772),List(85386117, 96857293),List(2159846, 59129098),List(41372164, 81853087),List(54322223, 72954065),List(90622167, 48148137),List(86923090, 15516398),List(62928322, 27487578),List(90168413, 45220076),List(75391390, 24638280),List(62983220, 57434707),List(9674228, 98321087),List(49854391, 21375485),List(63435848, 62563498),List(90318346, 24562110),List(41256225, 49032773),List(85427559, 48311382),List(72035718, 45985763),List(97047657, 59690824),List(18027805, 34310642),List(82758416, 17507849),List(66538698, 35029052),List(67081872, 68116676),List(28762975, 1584136),List(70493956, 85416150),List(63975624, 41700875),List(85376604, 92471952),List(31117619, 8710291),List(66975083, 17944089),List(65398853, 43471629),List(18443881, 17422596),List(68932598, 13965440),List(85968654, 43607736),List(91763795, 27976157),List(63486397, 26096377),List(92198858, 61112679),List(2920008, 79162333),List(26507522, 63835756),List(45056342, 5574977),List(83025636, 63770541),List(82221987, 90054270),List(79680869, 36420516),List(17541513, 26396402),List(89018329, 82183929),List(47710267, 87761103),List(228334, 58510262),List(153603, 15300401),List(61060997, 2357563),List(8305051, 1329835),List(81772291, 85445058),List(74799431, 55319275),List(6481203, 49487913),List(78571828, 91037705),List(67189953, 28385774),List(24959135, 1387020),List(12822367, 60373211),List(59239647, 76172070),List(89709527, 70202049),List(79252, 55323796),List(40823859, 40804358),List(57859166, 66884316),List(42121918, 94480237),List(68770357, 17801922),List(8582711, 69327110),List(12787504, 46324332),List(38308602, 11696633),List(13935422, 98809490),List(28353929, 8124035),List(5357810, 83645084),List(15556742, 3716170),List(75426383, 4415990),List(60850157, 65918256),List(5732177, 3859395),List(6018916, 38725890),List(15782401, 18215338),List(23977400, 19335429),List(4304421, 27313296),List(58568295, 34818475),List(61057511, 60601315),List(32378468, 34200492),List(46175428, 62609526),List(13898546, 88773267),List(80329252, 18793220),List(71186826, 5539261),List(85193575, 78329152),List(19499982, 52012771),List(31029835, 28111589),List(99791450, 82774195),List(23734329, 81612336),List(30256504, 14320449),List(86345783, 88202028),List(82758666, 25389147),List(60877198, 84580723),List(48789972, 99307670),List(68205368, 93574484),List(66051781, 91539566),List(94994346, 17660618),List(24071101, 92682451),List(76079558, 59337348),List(65046198, 74502772),List(36393526, 29995877),List(44864143, 61719013),List(17065776, 26042163),List(85242666, 14542166),List(87725911, 89846537),List(26228602, 38737604),List(33703287, 17637529),List(45679665, 61271392),List(28441465, 51029299),List(45604798, 21516089),List(50349979, 29905237),List(13024078, 9741394),List(83881366, 35885621),List(31087857, 46380399),List(39096985, 10464353),List(32465634, 26512082),List(97399034, 14354007),List(70151486, 48820944),List(40012983, 14626371),List(2690434, 76751662),List(53379722, 18349573),List(95883507, 26592233),List(28262650, 80695769),List(30040551, 48194067),List(41013452, 86484631),List(6371088, 49862001),List(95332258, 33014559),List(47181861, 39631027),List(46356424, 68181292),List(84586023, 4850572),List(71399604, 1015117),List(13638577, 77519217),List(99877541, 46826777),List(61197928, 98786552),List(81039210, 16739306),List(91144260, 52181637),List(82636807, 69153858),List(40974485, 41362785),List(53555448, 39975931),List(71566174, 24667659),List(43239767, 90144384),List(18421621, 97572474),List(58676934, 33037787),List(49568019, 81359544),List(67956647, 57984859),List(91080183, 67746040),List(30244365, 73426645),List(90455173, 76439664),List(97280649, 6820846),List(43204409, 76908401),List(51123383, 34508268),List(21803750, 63910316),List(12609162, 16466638),List(79699251, 45882310),List(13577743, 86290988),List(73192308, 12155167),List(76984573, 79012654),List(66015841, 83207594),List(35519710, 23065786),List(30229443, 77847652),List(5787326, 62462035),List(68676743, 12075824),List(6367963, 48412229),List(56375976, 82289628),List(25970538, 93770465),List(99552151, 98034212),List(82544019, 16032842),List(11051913, 57299147),List(63995962, 82888907),List(28655036, 92273448),List(9110946, 79544615),List(67678107, 59399346),List(31795226, 81831469),List(81951401, 16796896),List(41456071, 20990930),List(92863410, 34678973),List(36241899, 68183907),List(24282114, 54469431),List(79655257, 57781488),List(4434129, 32031385),List(34865182, 89223614),List(64007367, 65775445),List(97691544, 54829813),List(77176117, 52223589),List(41175569, 55525066),List(77565647, 89923305),List(84770948, 85817154),List(60821504, 67194460),List(91452165, 12333333),List(587023, 39889029),List(88098394, 82586472),List(93116660, 14473324),List(98619811, 35824697),List(82498845, 52420920),List(75213018, 45035067),List(1923927, 66268144),List(75924090, 28820763),List(84359311, 18465324),List(96363910, 2720241),List(18814850, 55684213),List(84528493, 70095228),List(73515335, 6195939),List(18713613, 70322202),List(91436500, 66920130),List(78549076, 92663390),List(8610278, 74270944),List(85875504, 59191573),List(16993211, 33775707),List(40615483, 58337204),List(18726627, 43554511),List(62561739, 47107135),List(55773876, 83721491),List(62456187, 97680502),List(97532808, 29211981),List(76437434, 31533421),List(10582460, 43943830),List(98694302, 50969930),List(10620448, 17434854),List(19775792, 99650871),List(15181729, 95015998),List(27400295, 69210701),List(8370558, 6374883),List(66548356, 18050963),List(65558661, 17513658),List(42113356, 7927977),List(75631076, 81343862),List(47582699, 10524),List(28679687, 55942315),List(32626248, 81625178),List(82768390, 72079066),List(4219431, 75713813),List(39700935, 87836566),List(65789769, 70623637),List(50265810, 14086323),List(90598825, 68182057),List(79762706, 93674926),List(70850086, 83414171),List(65689150, 39934361),List(89042774, 96195556),List(27614867, 18510081),List(82055322, 50178366),List(28463316, 11728366),List(50585694, 32395782),List(69184863, 78825961),List(35859058, 39788097),List(19209818, 26391227),List(71180429, 28141641),List(72821655, 12347277),List(61068085, 23918272),List(68538125, 87359965),List(13006162, 69433988),List(43436893, 30424246),List(82521423, 10377942),List(28637895, 99112347),List(74381959, 84159534),List(33712640, 4774997),List(36494649, 54316567),List(5633262, 76922385),List(70386205, 76730029),List(67771376, 81267187),List(34139669, 10028487),List(82897662, 26654641),List(98853699, 88787476),List(78780060, 81960639),List(40224039, 17799871),List(39741917, 99152645),List(42802630, 97300197),List(69814466, 36014090),List(99065088, 65407184),List(86022008, 31014982),List(65920898, 54902595),List(56468107, 14015465),List(94242079, 25545603),List(70787928, 63305575),List(13905196, 9562241),List(91684403, 24374888),List(88459797, 29973204),List(16327627, 60681879),List(82151401, 32836173),List(62333917, 6400418),List(59617052, 38123692),List(24825942, 42452547),List(88313287, 24373140),List(39464545, 72782516),List(72001613, 11616407),List(12634474, 98572911),List(83057271, 21583080),List(50889654, 94683476),List(37555670, 65977594),List(40846184, 7709910),List(34244370, 49623470),List(91082888, 90019351),List(23754866, 47196961),List(55591751, 42675734),List(12598557, 64565992),List(63732287, 19546136),List(44402720, 47663235),List(67735569, 14258073),List(44592524, 95014135),List(3582148, 80241789),List(69205127, 84537220),List(56715225, 85872668),List(28072384, 53921077),List(84004518, 22667673),List(56593186, 10076108),List(1277603, 88349061),List(24189167, 93807912),List(66629404, 14017368),List(13996434, 85996303),List(10458292, 21165795),List(95411271, 41962639),List(39592332, 10258370),List(59823340, 15928904),List(4319969, 43520031),List(28217319, 4546172),List(54269213, 82325300),List(55890485, 3164075),List(60139535, 39474010),List(8040419, 64030491),List(35519670, 16227687),List(79593549, 8458345),List(81548819, 3916767),List(61192231, 12586138),List(36285876, 61865195),List(94942538, 46562786),List(96211892, 3348940),List(68575618, 26887615),List(35912881, 23635796),List(55613216, 37894534),List(27668564, 60045714),List(17911708, 86289400),List(74216510, 63191698),List(95482185, 35031201),List(41717867, 32384884),List(14454521, 38956092),List(17997134, 52436398),List(82270676, 10323883),List(52675268, 43880636),List(95307733, 69710729),List(80039749, 60182829),List(56368572, 30476250),List(12978688, 62132027),List(31199039, 49194107),List(45247464, 20397641),List(81466842, 54756569),List(43025162, 37533211),List(74271031, 52702440),List(44286225, 75268646),List(73318571, 88065059),List(5724673, 4792596),List(50765702, 48524320),List(63663851, 30637443),List(4378133, 49750461),List(27061983, 73969468),List(43879261, 79606021),List(93705296, 8711574),List(30248690, 88545556),List(13173415, 93721074),List(26832489, 14085079),List(45676531, 9524434),List(12486945, 3402015),List(18366779, 49642683),List(45239947, 61788719),List(15239559, 32789964),List(61381473, 49216143),List(15870488, 45392721),List(75658600, 65349320),List(56540563, 1338840),List(12588519, 25430535),List(43258253, 50880221),List(86406185, 49023933),List(1812145, 72192645),List(60215942, 63129943),List(65099660, 42608153),List(5480289, 30386233),List(92501200, 11437688),List(90387405, 24062660),List(29343469, 48961170),List(21725604, 83592085),List(46035062, 5384391),List(54916810, 22173253),List(92417728, 41216977),List(52543648, 89762122),List(29035898, 83420919),List(96852231, 26033993),List(11852893, 66214166),List(7122411, 62135257),List(24342694, 33496897),List(61770375, 69702849),List(89280857, 97353249),List(22823603, 25081074),List(76655831, 5044305),List(6942061, 95431017),List(38414794, 31941665),List(31004127, 21062429),List(88051940, 75156839),List(191520, 44325065),List(50900457, 4741752),List(1155690, 44460009),List(11746717, 97531287),List(4757900, 43317829),List(4577908, 5575113),List(23628884, 70550644),List(10857611, 82382402),List(48538418, 53062933),List(20327784, 68385716),List(57529601, 36100420),List(19897079, 9263542),List(78269150, 45412733),List(9489174, 42972272),List(73681636, 98714114),List(43357890, 94032805),List(51973184, 85723911),List(64901181, 8408719),List(9334396, 6476165),List(85584491, 40850537),List(47071291, 81270007),List(28374000, 2042948),List(67802180, 8592658),List(16125584, 13715076),List(43813362, 68988417),List(84621252, 54115278),List(60155573, 56583239),List(46310987, 7292685),List(12155195, 74323728),List(28217661, 91562024),List(46710176, 23336735),List(13244727, 97299056),List(28862435, 58956992),List(53764953, 32147153),List(5409595, 32976276),List(66317189, 91514671),List(18827957, 15326419),List(81337628, 96325750),List(81487200, 64963510),List(27321599, 98285829),List(83908999, 54213778),List(74158613, 61194920),List(22021189, 59201606),List(88185511, 7529148),List(59445106, 16086476),List(68886686, 81224161),List(49018644, 28105002),List(19574780, 15143505),List(77609791, 24309576),List(76288764, 90618407),List(17114116, 13828367),List(85389553, 13793184),List(41673683, 67672841),List(89078878, 60000710),List(20118372, 81031741),List(28090130, 77268676),List(3145737, 73169120),List(11361758, 15695820),List(49833109, 32231241),List(6408892, 92826546),List(45787840, 47202630),List(32966746, 48538000),List(70760134, 32034555),List(2807678, 19281315),List(54811243, 68469630),List(34536448, 93288170),List(41839452, 54914809),List(60979262, 92366888),List(27350092, 3092156),List(13345566, 54937319),List(56853844, 28134884),List(600925, 96701240),List(65394163, 33439122),List(52600837, 91055585),List(11965379, 80354943),List(45276992, 86019823),List(25696079, 30003344),List(51716627, 65781537),List(84168371, 47935937),List(83320199, 6571750),List(14561775, 56933872),List(28526634, 63027726),List(92652401, 18743437),List(43875919, 3588666),List(30616547, 25299729),List(85012816, 86639196),List(11799149, 19358899),List(5976495, 89688172),List(70894314, 33710829),List(13320123, 2801180),List(50081948, 58555033),List(77094979, 6974168),List(19593150, 36931969),List(20317687, 85511953),List(8781316, 28562127),List(11242583, 58208154),List(54690704, 61619053),List(21857775, 15280903),List(39841280, 98699431),List(41449404, 87792096),List(59507228, 68786766),List(84234381, 11751869),List(28391639, 24221699),List(64263425, 90644883),List(30151898, 22937738),List(89523718, 24098793),List(65860658, 65284771),List(46836347, 42909335),List(20478449, 73815838),List(26301772, 32934371),List(90478811, 13849584),List(83061441, 94721444),List(62100012, 71153368),List(48110005, 40879239),List(50489290, 18617518),List(15138804, 93476940),List(66666074, 77489213),List(97666316, 26037143),List(59733075, 69055952),List(1260823, 63404558),List(13986339, 69059268),List(18078627, 20703777),List(59833361, 21154047),List(33671488, 72216097),List(41613463, 51396861),List(80952349, 52503663),List(58272258, 5433562),List(74392728, 31077609),List(55437435, 46575682),List(83513168, 7490636),List(55521109, 76402845),List(526519, 59646281),List(89805443, 18254609),List(46540813, 90560468),List(98217081, 76635698),List(13153989, 19704508),List(74690757, 19354877),List(95873296, 29714164),List(10125797, 40979567),List(6670493, 87927375),List(75021878, 54583444),List(34793505, 2860456),List(83969173, 90292187),List(30305847, 46287360),List(87373958, 14901492),List(4891502, 89318753),List(69770656, 66559087),List(3296758, 41818206),List(78601795, 26803077),List(88147, 42286585),List(95002720, 5437190),List(30837068, 80451547),List(49342657, 26480168),List(61183059, 14972430),List(61582105, 84691164),List(47085859, 17757473),List(89411255, 98598462),List(56185886, 78899452),List(89187907, 67651459),List(15214393, 67827930),List(56306762, 8878793),List(6437361, 94128852),List(19757572, 76030331),List(59441563, 63374883),List(63592800, 62627419),List(27351157, 90300585),List(37336439, 79174837),List(46128167, 13621096),List(9350193, 25749565),List(61782942, 98479384),List(33992195, 38044586),List(90220191, 66297624),List(6962011, 6659402),List(84387660, 55760144),List(10372729, 45634931),List(12289884, 31986858),List(74846757, 67358748),List(82839921, 54274918),List(3879795, 61695474),List(18706232, 78370617),List(66087529, 34714904),List(98815956, 75472655),List(85819393, 68085887),List(14230694, 75940551),List(48375015, 37155989),List(63655154, 16418017),List(79434031, 81934971),List(91384641, 41663676),List(79063028, 82838482),List(85986238, 28419221),List(4462489, 89793813),List(66661497, 56621279),List(80778154, 2978810),List(85520585, 86375024),List(11851003, 63561855),List(66469316, 31034266),List(2070451, 51807282),List(90912403, 3194392),List(69272041, 94441459),List(77932883, 78714327),List(40146320, 20990829),List(5036679, 88966132),List(43181093, 56798757),List(99843371, 65774220),List(41287863, 25284707),List(16048749, 490532),List(79810689, 58539464),List(1374611, 69463275),List(96582093, 76738976),List(89785942, 11782553),List(50677430, 18754411),List(23445181, 78579945),List(25779882, 8615901),List(99625302, 55094628),List(72794446, 54734714),List(25803160, 21433558),List(16328687, 7684778),List(76860316, 40218156),List(75482768, 74954125),List(44225233, 59299907),List(67203797, 4604708),List(31636971, 62348045),List(72109296, 63025476),List(25587665, 37470360),List(49632971, 64529833),List(23760747, 86108457),List(1652027, 64317438),List(41931433, 4742482),List(41523882, 20751733),List(62680331, 29303099),List(75179809, 55267344),List(3668344, 61771400),List(55346008, 65037295),List(19652708, 53378268),List(67372557, 45679208),List(98893612, 72345601),List(57247062, 69947117),List(71334112, 95104989),List(87619557, 26970111),List(49192025, 1900143),List(25542337, 99551023),List(35084950, 80382085),List(84709809, 14159506),List(67552995, 72238099),List(26725134, 79577100),List(90659806, 38242220),List(21807560, 59378201),List(53966737, 96311441),List(29581394, 83793047),List(41152342, 12719208),List(42567981, 95514559),List(7344285, 14430168),List(43510063, 84721871),List(28426720, 691869),List(43238484, 35502333),List(70580382, 15802736),List(17067573, 44121544),List(34287412, 13310345),List(4679657, 66854449),List(70273157, 9473147),List(94181624, 97412356),List(49108450, 5951482),List(69967172, 51910946),List(82289411, 14811809),List(95740528, 13409304),List(35601426, 67699258),List(93282679, 75106092),List(18712263, 98075116),List(18062985, 77366907),List(76483310, 24982564),List(22454043, 42755911),List(18925902, 15416437),List(63512891, 22667186),List(92582357, 6651680),List(1353208, 19754291),List(85302573, 6779601),List(40002377, 29742863),List(54131180, 95629058),List(24631259, 49983224),List(3703995, 53926743),List(54841512, 18230149),List(81370457, 35053903),List(47157765, 31652557),List(82780227, 35128346),List(1757478, 25230579),List(93267515, 2132073),List(94319218, 95724520),List(12315513, 41362720),List(87363164, 27675144),List(94743072, 83604865),List(24151119, 47754105),List(5887652, 40480756),List(49324740, 73346066),List(18641970, 80729963),List(92075877, 69025196),List(5091037, 71186368),List(93673933, 7159895),List(63161612, 67644948),List(62082857, 16981996),List(115103, 10658731),List(30900858, 64003149),List(93623178, 1239921),List(8616748, 2302038),List(66342571, 15762316),List(31253909, 88286107),List(94862787, 20969143),List(7781230, 49495092),List(7678170, 69956886),List(1474358, 39954846),List(38204328, 23489450),List(81773404, 80168758),List(56739128, 19288732),List(94728397, 75757506),List(18197379, 66761491),List(20877722, 21577366),List(83418015, 55621963),List(20683956, 10792207),List(15562756, 8945691),List(85175997, 62555342),List(21520538, 43953944),List(72162352, 52692852),List(4402810, 85431013),List(31050483, 44535228),List(50587519, 4148257),List(85417272, 98267524),List(81359603, 90232002),List(35576688, 85798860),List(39710343, 45792266),List(79769610, 26619211),List(24991733, 94441502),List(16514409, 53072682),List(66750767, 35508113),List(25290057, 28869842),List(15367382, 47492947),List(65904929, 65261609),List(27935803, 23477318),List(8026484, 39369509),List(71220395, 78266810),List(6737511, 81025743),List(19909011, 10142190),List(937451, 66289176),List(47808416, 74550665),List(99707546, 41726034),List(65847182, 79023584),List(64478906, 81705445),List(41426786, 70664738),List(18932678, 58324102),List(29968998, 82344438),List(20455359, 71150401),List(2315988, 8942701),List(56769999, 66385905),List(29380830, 37507902),List(39522666, 90360648),List(85341804, 26128613),List(63805263, 53870962),List(36150727, 7984486),List(24995910, 85103668),List(72319706, 20286590),List(42300226, 23261745),List(83816170, 19305788),List(36837003, 91704412),List(21185502, 57965360),List(11643002, 56908610),List(85971687, 18428095),List(40121980, 41093027),List(1384741, 32294272),List(88764019, 75672375),List(44375512, 14043064),List(11776202, 41598747),List(95900835, 11434148),List(22724510, 84140690),List(92298751, 96368590),List(31934167, 30084284),List(809373, 40232975),List(25282560, 73322675),List(12135003, 71368651),List(46954427, 34429330),List(90086044, 55271881),List(97830031, 75420030),List(66421516, 72683013),List(24901423, 63680845),List(80330255, 96585585),List(27548546, 95791110),List(42281593, 19567321),List(23704777, 86541930),List(71922564, 87672873),List(92579622, 12515490),List(96221866, 63827435),List(52552952, 68714550),List(2081253, 26964894),List(34596893, 70170001),List(37811479, 17390190),List(81170106, 74577600),List(88272454, 73049667),List(66760651, 43092821),List(26607010, 6505560),List(60872991, 93105654),List(65316065, 68921608),List(36543605, 40396781),List(45635872, 85764757),List(58392334, 16156760),List(61395494, 79763407),List(2842365, 70553837),List(95368336, 84608386),List(33311927, 24404602),List(11459459, 86482869),List(68759521, 14774397),List(76547288, 49919140),List(98141772, 39692312),List(66137582, 89888928),List(19589731, 80218869),List(74268743, 41018296),List(66456916, 58667579),List(68352257, 56844659),List(58982324, 16260712),List(46563156, 61590867),List(53775786, 50920438),List(6196909, 87268779),List(92377587, 23545850),List(18259504, 74915847),List(56553022, 56930038),List(18185610, 64294789),List(67212146, 76857668),List(59147029, 28663383),List(31648957, 38604843),List(60950432, 99295278),List(21369446, 5466506),List(91321207, 46894685),List(89389084, 59679126),List(80967046, 16255505),List(74705218, 83798610),List(33122262, 85291037),List(13569081, 58803744),List(93063196, 17165874),List(70042869, 93660639),List(61453278, 96119996),List(63255251, 8987315),List(23880837, 23265621),List(39654754, 94740420),List(54439592, 82206329),List(73481685, 70683394),List(32942631, 85429278),List(34699671, 53595530),List(85393457, 33787138),List(68767142, 27503428),List(36108366, 56785513),List(66588916, 84118566),List(32905629, 20464265),List(96256486, 61026816),List(13734620, 72122315),List(3858388, 77474715),List(22339970, 9194360),List(50109108, 73050228),List(41474822, 97316879),List(39105813, 45131843),List(38377922, 70701222),List(18115341, 44197146),List(17943127, 6827749),List(70667429, 34604040),List(83057497, 96077509),List(36392453, 61571505),List(65013711, 7057788),List(16039149, 21519425),List(46505613, 67261767),List(19650286, 88391329),List(86349626, 20404483),List(482672, 85138751),List(23321574, 14481849),List(19963671, 47497367),List(6482893, 53698172),List(7830192, 78962902),List(75035463, 88821944),List(80185706, 5714420),List(98235389, 69017140),List(84509796, 3731288),List(5873390, 6323964),List(17286911, 32476734),List(24824518, 75825527),List(73676462, 19500990),List(83670626, 72988393),List(37179338, 55213477),List(86537187, 96475740),List(13452937, 2987701),List(95242564, 74317858),List(29582561, 69098012),List(15789752, 6035868),List(82819302, 49272404),List(95460248, 78528680),List(67801005, 10149817),List(93126528, 36219122),List(70501379, 35695187),List(66524957, 69943593),List(39446581, 38285525),List(71476640, 92112088),List(78359454, 46348429),List(86715130, 57817074),List(72524802, 61430171),List(8883728, 45126726),List(11304598, 39757512),List(6445962, 95900014),List(30264634, 81085131),List(7980488, 32139175),List(26186222, 40399946),List(5131184, 8769403),List(5214482, 41273569),List(46775055, 2084417),List(50777240, 94977513),List(2088252, 83897152),List(26879573, 61953258),List(9352097, 69207516),List(31662094, 79011493),List(62453222, 85826787),List(12275281, 84132081),List(28095081, 8006255),List(49802431, 84816458),List(4622551, 74725624),List(53322369, 47690466),List(61560332, 23804035),List(66818330, 23791145),List(54541582, 53838478),List(61636818, 20285918),List(40199496, 15097659),List(18998280, 22001768),List(22104557, 91158456),List(3994649, 44969590),List(32355435, 77284828),List(44074524, 7116756),List(54359545, 5767387),List(69320694, 55958512),List(54637745, 86357756),List(12899912, 25461131),List(29892791, 37918214),List(6968427, 12429355),List(25165015, 61868567),List(88104111, 11367546),List(40630102, 28258547),List(27628614, 3603842),List(21161345, 77962390),List(39738734, 54264267),List(75720311, 19667341),List(28516841, 75700210),List(4069174, 67543020),List(55785271, 18062721),List(39673027, 16466675),List(73935204, 58990114),List(61553217, 91026782),List(92944923, 47121746),List(75080121, 55472374),List(72856902, 76386712),List(69211320, 78835530),List(33371247, 42010511),List(75989010, 49586097),List(68533757, 60005495),List(8726874, 17433146),List(16121995, 7109889),List(18717375, 17557709),List(14265021, 9895153),List(32337782, 82230066),List(99731704, 48343827),List(82141916, 69863707),List(27257978, 96353052),List(88415269, 93554405),List(44107566, 18103990),List(45535330, 21081747),List(76888504, 35546951),List(79596760, 39803556),List(79840757, 88899631),List(78760881, 59349293),List(5939498, 94275560),List(19800056, 73818502),List(54006696, 10634396),List(45992630, 76589989),List(74832029, 23247962),List(74309103, 13773377),List(46658434, 69710938),List(5047113, 37786954),List(37778163, 42377362),List(89462790, 16047217),List(88220651, 40770957),List(14437121, 81839612),List(94843459, 77773460),List(71628237, 26790719),List(84923186, 22012848),List(1072860, 11620268),List(94176527, 92873555),List(83490147, 76947503),List(4065559, 75559061),List(60001739, 4242048),List(28048123, 20321892),List(13231937, 84505505),List(35103985, 31640696),List(7237611, 99911091),List(31749062, 24899174),List(69305175, 11043952),List(44209488, 88796795),List(19728634, 92736110),List(29477360, 30979393),List(97203081, 84023848),List(76220594, 47613063),List(34871565, 51314757),List(7728890, 82209444),List(47127722, 64574007),List(78832542, 93430160),List(70583563, 45102264),List(93052923, 97434085),List(85419223, 86086466),List(24755688, 1963384),List(99557068, 20414364),List(75618525, 96866865),List(30336005, 23855709),List(38177708, 98828681),List(57746650, 66597388),List(74135529, 98554343),List(16511324, 9162270),List(74775555, 44523153),List(45217885, 89939513),List(97029368, 53848378),List(30539759, 74225228),List(95230730, 15032813),List(94228000, 47877638),List(31075812, 124506),List(14492920, 99610160),List(31069798, 65748355),List(20070976, 53966965),List(75062159, 10649713),List(40125790, 9757720),List(22736920, 57114170),List(30291028, 68255219),List(74189195, 21791968),List(331125, 54669543),List(90614176, 51351807),List(91732725, 81849486),List(87161295, 95483846),List(47378244, 87195363),List(60295086, 77446342),List(38751647, 67908266),List(30401858, 55379930),List(30207621, 29384231),List(21449590, 67627977),List(46874004, 63448735),List(19284748, 45599061),List(2098309, 79603168),List(82261376, 10164680),List(66710246, 29393847),List(77018817, 29220149),List(40973707, 49113091),List(45389595, 68001659),List(27501282, 18658345),List(48601618, 40095767),List(51669493, 98813455),List(84607201, 58393773),List(26193846, 97634170),List(22280512, 89727071),List(91266959, 9243553),List(63346470, 36196525),List(2156276, 44336414),List(81405928, 30292700),List(43519803, 62253499),List(39137408, 13858663),List(19366693, 94724802),List(49473731, 66781144),List(67300745, 74930665),List(52052121, 58378662),List(22747210, 14265573),List(90882403, 28030941),List(66730780, 15963164),List(47262897, 40201146),List(40994163, 30784330),List(7702678, 91905335),List(81766133, 97901220),List(46348651, 53237227),List(42678582, 11680252),List(99395300, 62123876),List(95206423, 6480704),List(32482979, 29330931),List(93756068, 28942577),List(23379701, 83918568),List(90964200, 88303605),List(45152294, 91733842),List(94436800, 92452267),List(11605476, 28343232),List(63786275, 53533193),List(54579552, 33945763),List(98343858, 83860859),List(57136472, 70088304),List(99032548, 7839629),List(32254318, 75297901),List(3529715, 46323672),List(65710242, 46347660),List(90106556, 98783696),List(59608650, 56857177),List(8022310, 54758754),List(37765068, 57320810),List(76382534, 36268657),List(19799726, 71094753),List(6891188, 35249103),List(70712135, 72422429),List(44340803, 42582278),List(92588183, 60028070),List(78356498, 73338379),List(1862737, 16791180),List(99051148, 28407622),List(42119287, 18801785),List(38717169, 66079226),List(4966475, 96008129),List(86743633, 74243169),List(95280618, 12440273),List(68693587, 85795997),List(24131113, 65633639),List(46587669, 99796991),List(21644851, 51495022),List(61354297, 16708128),List(8039206, 48719244),List(27349375, 99452075),List(56172003, 86880215),List(95631016, 3542625),List(43997336, 47714179),List(78029860, 68044482),List(11518985, 88186741),List(34545244, 54468054),List(87099065, 50867435),List(61689286, 97014086),List(51594950, 83996953),List(85066299, 96948916),List(728366, 7676159),List(72333118, 59610764),List(59035057, 50880841),List(28910192, 37695268),List(76649240, 73765320),List(62735658, 55718308),List(83325709, 54598108),List(27946930, 15416589),List(2320435, 9459341),List(8398451, 86346890),List(83855863, 25551381),List(17959406, 60968893),List(99285150, 1019717),List(96354017, 74997415),List(81306668, 19621801),List(60590284, 19270289),List(70934732, 53361977),List(80618392, 95813522),List(25933500, 81852991),List(85531217, 63946444),List(64513075, 50522080),List(89664894, 61878312),List(129419, 7043151),List(81271866, 99068881),List(49715310, 91496445),List(73848034, 75649396),List(46961639, 30209329),List(21261695, 8910912),List(24095311, 37521669),List(57724996, 1850274),List(78091840, 52262276),List(29028831, 76874940),List(50261623, 18107572),List(21520151, 96046242),List(47766042, 44268344),List(84534461, 65378225),List(85277070, 49327285),List(14254536, 67593282),List(64099081, 40567578),List(66012407, 14569429),List(53700944, 12514464),List(99650296, 82694760),List(53293684, 66570839),List(69008786, 38674981),List(11516742, 49955290),List(93691907, 69127301),List(95014738, 85458062),List(64590896, 17242542),List(39138050, 84820203),List(79696280, 70884523),List(94309412, 6860178),List(58569252, 11476),List(78719724, 40069220),List(74500740, 21500950),List(11637875, 63276370),List(91994508, 79075430),List(88919842, 40216810),List(6643820, 42352777),List(81268226, 2140832),List(68621033, 57839078),List(25515462, 14594676),List(12941092, 8799805),List(30692712, 47077070),List(3338188, 9481496),List(87009275, 52286460),List(26903732, 64151133),List(13105856, 62329547),List(94521822, 12015489),List(11568134, 54142574),List(31219903, 49491106),List(63581140, 41647187),List(50955793, 45655507),List(94578769, 72648236),List(43094938, 1597361),List(3501363, 84855295),List(95796689, 20980247),List(67306446, 20068176),List(4591623, 85194773),List(87182108, 31101495),List(51736895, 88854476),List(29082276, 66616535),List(82923243, 21506870),List(77027834, 72650385),List(51783113, 57018621),List(48071220, 9616802),List(44674165, 57420909),List(71034575, 7753613),List(34908086, 44896110),List(73626298, 97876208),List(58079521, 60554623),List(69141123, 69698946),List(57443788, 98611540),List(11981741, 58166923),List(98897802, 20655317),List(35628345, 57107633),List(39281858, 80790702),List(82298732, 43016443),List(74352877, 71571346),List(26836273, 44877744),List(956527, 59455906),List(62605275, 32972808),List(35319200, 45139405),List(50215660, 26572744),List(17303617, 58308628),List(25242673, 29849220),List(50834376, 75917691),List(32683581, 25232343),List(19095784, 23018696),List(27749703, 69681073),List(77054650, 47744256),List(92161083, 78149122),List(83178050, 89411588),List(57745740, 82064538),List(52650756, 74312543),List(23828457, 34047863),List(16456524, 5138499),List(49811944, 24075294),List(28166279, 62801292),List(12087318, 38249021),List(14582381, 72220856),List(61514644, 61340598),List(11653116, 90979017),List(43509964, 3639254),List(93761885, 57877482),List(6299820, 11639978),List(54986130, 70825885),List(10193540, 31305465),List(55935111, 87090563),List(56976672, 29246611),List(53256668, 96580403),List(70202344, 13212216),List(20819392, 93800108),List(34571256, 78656985),List(3668907, 14197542),List(67973966, 67988721),List(29678171, 36217552),List(79045648, 42132238),List(77023413, 82737586),List(70991732, 23617641),List(37719427, 93626583),List(54229080, 31059486),List(96104485, 14469848),List(64862047, 59571463),List(97798152, 33163639),List(26708183, 47241399),List(50451711, 91590447),List(877545, 68575745),List(56093304, 26439795),List(59398852, 3030532),List(78423378, 65111233),List(87015578, 20365374),List(37113566, 76466242),List(36042070, 70628364),List(86517549, 91450981),List(72099372, 66203032),List(71239239, 18602311),List(19164445, 21001726),List(94470863, 88195801),List(46861603, 53127683),List(78067260, 99470657),List(51912329, 51394741),List(2261725, 67854120),List(4462358, 56457459),List(48608534, 13491879),List(65182226, 49655697),List(22643567, 49498645),List(89617056, 85906187),List(10845418, 22792436),List(63727743, 89882815),List(85281621, 79829987),List(97264576, 13311044),List(85341243, 59216895),List(22533569, 81523109),List(96904849, 10596866),List(30249621, 68747395),List(72448946, 86820628),List(77022146, 76784175),List(41787151, 85292683),List(45769045, 49623029),List(96133545, 25264643),List(95363015, 13432743),List(37373892, 61093803),List(79623584, 77350232),List(14078043, 42829537),List(7755488, 83118844),List(71789390, 14450662),List(84545008, 46617584),List(64692183, 10215780),List(53882707, 7444171),List(12513369, 68466509),List(78855834, 80899329),List(26428677, 37971803),List(10983179, 45663564),List(8397096, 25058618),List(97465650, 27227743),List(19314352, 6945369),List(57808002, 82450979),List(38231588, 91261785),List(67851230, 98435982),List(66112669, 49957863),List(18887675, 48043553),List(72119515, 39361443),List(24256157, 97184437),List(2859605, 17041893),List(16901556, 9632434),List(93538973, 94604043),List(41527583, 44100998),List(5514664, 95739517),List(94812007, 5293614),List(43016347, 2149309),List(58893167, 63170633),List(63796652, 94518880),List(34177003, 70790248),List(69380222, 25953658),List(3011147, 81840487),List(57648215, 84654670),List(93433319, 28554473),List(28010799, 51608953),List(82611525, 84996847),List(58358858, 41154958),List(82921400, 77015648),List(15668046, 64495085),List(21161043, 77192483),List(50865904, 12847324),List(26030621, 65277441),List(49080076, 57305800),List(26219798, 27482504),List(21470510, 42390429),List(28530073, 94278709),List(89117734, 13392121),List(34348, 62578646),List(33890267, 5520750),List(25005594, 86579077),List(43189434, 35945280),List(34898565, 83715258),List(14966523, 34878638),List(75906546, 69434056),List(41748884, 54716565),List(24615246, 6616790),List(57572123, 94542246),List(14677644, 53185871),List(97622939, 13008403),List(45469142, 22614958),List(27334828, 89580795),List(54931862, 2973355),List(23520900, 48059235),List(69999333, 37927286),List(728759, 18904101),List(76930606, 37317973),List(2261701, 57373548),List(86339944, 36824797),List(69301540, 386303),List(72122434, 72472220),List(12518504, 53389342),List(298461, 25387728),List(60473680, 29827704),List(80404267, 71164390),List(6047558, 58501600),List(87070171, 18416876),List(59186533, 25711660),List(28500490, 63982981),List(71877003, 2450622),List(98443197, 91331650),List(79392936, 60203497),List(37355316, 14478230),List(32591625, 42768496),List(59247921, 28874659),List(24603015, 4411355),List(12644621, 76043833),List(35941264, 45860414),List(17324894, 17936070),List(37013848, 88172344),List(63313908, 79100343),List(47569877, 47754171),List(15997078, 1437184),List(65744064, 836899),List(27489398, 42011612),List(11391509, 69593122),List(13407327, 12898281),List(99683714, 3740982),List(51258771, 74886048),List(67985984, 7304815),List(84747373, 95036140),List(54448180, 42914176),List(56997789, 82221125),List(91021283, 10151694),List(80635166, 9878601),List(56654591, 91431194),List(56764665, 83602365),List(56157012, 60790842),List(926592, 16653796),List(36086969, 14277001),List(70988841, 99255668),List(77605864, 68207669),List(8514445, 60739414),List(75638548, 7373503),List(80540617, 47614807),List(63750458, 45043640),List(44108594, 59352983),List(82629776, 1444051),List(48882779, 95667898),List(738425, 57641782),List(13700885, 34368056),List(75448332, 42206446),List(93502932, 82368401),List(38430954, 29122892),List(12876250, 26586835),List(33588261, 12766617),List(56139863, 85142920),List(88931021, 59307535),List(72265606, 74606833),List(2223426, 72688089),List(34548665, 32030864),List(42321191, 10213101),List(15754132, 24684482),List(77451818, 62987733),List(48022663, 69423766),List(78240812, 48668947),List(26739957, 88166942),List(2184515, 52907938),List(71166028, 15843143),List(40483659, 66302556),List(25843602, 76450041),List(56908345, 24940366),List(16207307, 94342500),List(6352427, 68292657),List(53674292, 35572224),List(90876182, 64758693),List(34119928, 46112383),List(73767040, 48954769),List(7337251, 93645463),List(38652473, 80720257),List(15939097, 79428975),List(43944483, 79744634),List(47917745, 64500449),List(32373718, 29819184),List(26658721, 42263121),List(70352682, 14669741),List(55790199, 10495885),List(77337332, 2342873),List(77656066, 34814055),List(93256514, 91655180),List(82968611, 59974453),List(14653364, 23894993),List(51786951, 19426169),List(94713343, 61631129),List(4638343, 79670355),List(69001658, 68990972),List(9367085, 5606083),List(64737054, 47482875),List(24352050, 18925703),List(48663216, 48567341),List(21938107, 55156777),List(69930541, 91824815),List(80452042, 71125840),List(69878674, 36014325),List(38639600, 82656436),List(68242409, 70974987),List(66284573, 47954249),List(12450974, 47239886),List(67221905, 88953160),List(49433365, 83149355),List(11674738, 15357415),List(31311942, 49474412),List(33207606, 32246957),List(98928814, 39337388),List(26963161, 83816905),List(20773827, 30979358),List(24947480, 68960586),List(87961550, 25282790),List(31739438, 29590972),List(41606269, 1630757),List(39909941, 74525153),List(45010171, 27896340),List(3127676, 58384632),List(86766175, 9240810),List(79730480, 17186013),List(93109719, 47874770),List(27804343, 31556687),List(54153804, 28699624),List(6211133, 89730686),List(45594643, 57589040),List(73533631, 76548080),List(24102716, 33356474),List(59579994, 64971532),List(4696449, 9856561),List(9051668, 82715620),List(89850037, 65617815),List(82029119, 13207383),List(56273091, 45177712),List(89342251, 14392138),List(6856986, 58690072),List(13750067, 81088121),List(29010976, 41904099),List(48499462, 80282186),List(89892272, 32433189),List(24308756, 52910432),List(95830756, 6309465),List(64418567, 82813867),List(71922176, 16000093),List(88690885, 97330580),List(34893259, 27249206),List(13016189, 67253280),List(14668875, 12569634),List(25500445, 28298332),List(45574262, 6222130),List(86678927, 91005537),List(47451931, 10881469),List(10685694, 87020692),List(37512403, 3704707),List(9556729, 97924544),List(85119441, 72206320),List(12838522, 31494306),List(52955728, 15965315),List(40530108, 85972536),List(1423968, 98395449),List(17994823, 1026748),List(48276435, 30487761),List(40671920, 72876098),List(6297569, 44939964),List(99662740, 98285264),List(88300623, 66077307),List(42708974, 46984527),List(26433580, 84786312),List(77136406, 38948146),List(39883992, 92343203),List(69419306, 38904003),List(91059895, 65738292),List(85442992, 4638500),List(17553683, 76665194),List(5717565, 77612462),List(36744748, 6792875),List(73086888, 89727385),List(5538553, 88625379),List(39780090, 79726672),List(97078903, 55736970),List(66909140, 83821073),List(34812179, 48285656),List(47212246, 57167225),List(62567171, 44439037),List(97713950, 11196797),List(72487893, 4336425),List(7380840, 6365751),List(84211116, 17839905),List(91631469, 90436225),List(35808521, 44696193),List(36210648, 76889358),List(91023407, 4018543),List(65256212, 60589283),List(74277101, 11966848),List(27340250, 59858215),List(18304993, 31903018),List(14150197, 1745271),List(54950130, 15606361),List(83020702, 37639411),List(79826088, 10896195),List(4594105, 56541148),List(81967409, 36827002),List(54345907, 88862851),List(61760053, 56678223),List(9315203, 29005122),List(59840852, 87671882),List(56202241, 48457071),List(10182982, 47086464),List(96300506, 72540250),List(73896961, 6938669),List(90111599, 19968162),List(16642357, 24313234),List(32472676, 1602422),List(95103485, 47228111),List(87613270, 849814),List(31657783, 64484915),List(16963352, 66707046),List(22223640, 60034434),List(40782148, 54770458),List(54930399, 30348475),List(18337194, 58970554),List(8548990, 38265273),List(58096450, 14420987),List(27969669, 90312038),List(8722531, 41346957),List(10417008, 63914840),List(94115753, 1521577),List(65731536, 36412153),List(28038138, 22916799),List(45604129, 41965534),List(89231024, 88378842),List(68081005, 64470878),List(59503113, 66069108),List(62640051, 73464293),List(21569609, 40556982),List(80920667, 56149642),List(77875920, 57230272),List(20943727, 6950260),List(56592423, 83489578),List(99827691, 16150500),List(89005479, 15127974),List(93664024, 45844459),List(75386196, 31263989),List(82047746, 68952516),List(89124408, 19414995),List(8535918, 95256109),List(6320801, 9082029),List(86418295, 21793856),List(78755837, 11412675),List(89343470, 85056306),List(4988134, 38442449),List(22280206, 93843386),List(37884517, 24759233),List(41286387, 55005691),List(88034001, 83423207),List(63524490, 45035901),List(54969737, 21910419),List(47634617, 90396499),List(41174961, 86067095),List(75809209, 69852520),List(21776757, 92825405),List(99024381, 71515278),List(26740372, 17256892),List(71159150, 23977752),List(88140433, 19715900),List(84472911, 18718455),List(36005949, 97308165),List(8737842, 36340729),List(28717563, 45530942),List(80378058, 44684027),List(75753977, 58436951),List(65558900, 34809769),List(80410516, 17569895),List(55574514, 32150363),List(33442532, 70761151),List(77315028, 57935835),List(2399162, 39466430),List(23040445, 44338882),List(90470689, 18202146),List(87219026, 99912843),List(44306901, 91047625),List(29317506, 88705459),List(29876496, 43169274),List(92810922, 38109120),List(77118136, 51694836),List(3532492, 91605974),List(50652391, 67841362),List(28175801, 68052437),List(61866213, 10350723),List(76836735, 8567456),List(74594170, 76198151),List(55841337, 70400741),List(91834300, 35671147),List(94241223, 25699301),List(97673220, 6231350),List(34127040, 91930857),List(14359366, 81960412),List(23543313, 385618),List(21711362, 20700910),List(41552806, 13083280),List(39851473, 31552867),List(74365840, 74205620),List(85662013, 37580590),List(57054437, 66807915),List(11228390, 60676358),List(45707473, 49696611),List(45955273, 40915814),List(62675091, 26416583),List(75070516, 14555251),List(94145129, 48250703),List(68534294, 55421188),List(48281473, 1870380),List(94478998, 10413840),List(1762863, 62030600),List(22383596, 2534887),List(43061914, 97982752),List(80294866, 67363622),List(96529905, 71119505),List(54217282, 73712580),List(41432659, 73849039),List(15968339, 26173246),List(75334548, 99387255),List(31264694, 57768081),List(99162595, 18132600),List(85894605, 70990650),List(35275497, 26798596),List(41506505, 79718852),List(86080683, 80683525),List(4297538, 26043106),List(65683930, 25711308),List(48856033, 71126160),List(15789509, 1235582),List(60317943, 287368),List(96772625, 96136245),List(75915501, 73185728),List(62778405, 72842006),List(73276540, 42278498),List(85091909, 16993983),List(99421205, 31019913),List(82094905, 62416028),List(68026266, 45985769),List(67847857, 65812840),List(75342881, 47026088),List(64159018, 51010671),List(88937555, 84379162),List(69667672, 27252303),List(55618358, 11295801),List(31934951, 8702039),List(62106284, 83945382),List(32305032, 42739131),List(80848525, 87764643),List(31573777, 47771399),List(37534799, 46607431),List(71980143, 56431059),List(20507156, 17946125),List(65391553, 94662567),List(8016483, 5163721),List(7834879, 79395086),List(28352738, 63788324),List(91648157, 3671515),List(55632246, 30630533),List(22461102, 77092905),List(97110650, 42803641),List(15412272, 14375078),List(95923476, 8552613),List(21093008, 15957027),List(70072589, 71175692),List(86216777, 95438626),List(42525201, 16043710),List(24450613, 28750610),List(54278878, 68679678),List(29689118, 20579119),List(89360869, 7433954),List(6635669, 21091497),List(21023713, 71538427),List(30106143, 70011188),List(28302833, 7765366),List(94504917, 57253475),List(29896616, 45919862),List(57266309, 73619011),List(21222790, 207687),List(83229692, 98563585),List(95793168, 65530455),List(63715584, 17711514),List(89890312, 71355412),List(92846281, 39601886),List(42995014, 39923665),List(17193779, 60352647),List(75682823, 5484644),List(52573342, 9211868),List(80218408, 74447730),List(59999870, 24561145),List(69557432, 95445217),List(54618428, 77386116),List(7275262, 1537279),List(65555902, 75205378),List(64331050, 5223711),List(3632721, 91190594),List(4982072, 32466430),List(69274958, 45168778),List(77603274, 89827553),List(2325959, 68167972),List(35956990, 56196141),List(61734526, 28605805),List(26803511, 81719075),List(45380736, 43164376),List(30908271, 91606216),List(9052345, 32204233),List(32467742, 13215460),List(11397697, 6844355),List(17149550, 8624718),List(64866787, 66447453),List(99947077, 37250317),List(63791080, 54898178),List(49366707, 4633506),List(17604890, 5991384),List(96149700, 51733235),List(52140146, 67325368),List(36174633, 88108173),List(73452646, 47808759),List(37204355, 48733426),List(71971213, 95413197),List(64749601, 15508605),List(84274915, 28333597),List(34543053, 67087138),List(76940937, 39920251),List(80025189, 9718966),List(67624472, 11336180),List(32692636, 33154603),List(32972631, 41082626),List(48986950, 93254055),List(64973883, 14057940),List(30539066, 46926025),List(45124667, 44902980),List(77465863, 11095985),List(32774075, 4996717),List(83534912, 5590799),List(13382937, 71759891),List(55288723, 18020544),List(10231453, 82110359),List(84908889, 54517749),List(45385404, 95122060),List(76128807, 42495885),List(33186411, 89666882),List(2154291, 13298579),List(89831400, 74663194),List(77671072, 1245657),List(60036413, 60357919),List(35386979, 75463074),List(53079261, 51798540),List(43314109, 92616084),List(33859321, 87800577),List(85074207, 87232174),List(86464973, 65683110),List(67682913, 39575986),List(41527845, 85484898),List(97687801, 69461490),List(74527351, 20030789),List(6413121, 80897801),List(9518867, 66652129),List(19531834, 27069554),List(36934473, 57751285),List(6145170, 54630871),List(57785410, 36771256),List(9941073, 22636565),List(35055354, 4474502),List(59548207, 5871563),List(17620225, 46441244),List(81217055, 86263565),List(53206984, 72160561),List(42742156, 87539193),List(37937674, 96980652),List(39145060, 34769885),List(15635074, 39074496),List(17036097, 68793502),List(21975015, 90570707),List(13793879, 45990384),List(32031326, 80282821),List(98734629, 36782589),List(82928345, 67921787),List(30905422, 1523849),List(26233296, 42201996),List(59736763, 49754751),List(59479485, 7694233),List(28436114, 21564305),List(75868707, 62879293),List(16915626, 20144733),List(49734835, 86905827),List(44334893, 16229588),List(44890834, 93554915),List(48035991, 67526580),List(65476297, 23506390),List(38439256, 99278948),List(30684791, 58810887),List(9102186, 16061201),List(78534296, 53232429),List(40769747, 59174532),List(43155410, 16818774),List(21648141, 88560088),List(16152094, 75260512),List(95057494, 17861084),List(51211068, 24664075),List(464748, 43816348),List(2400135, 74423134),List(77839130, 73181670),List(47502850, 33699503),List(88142761, 48685029),List(87263888, 8885270),List(66159476, 73399973),List(66861401, 33506715),List(49089732, 52058965),List(36342440, 25992273),List(21042262, 48992811),List(11273505, 22187175),List(52720227, 78104803),List(41394443, 17724496),List(57660732, 11012605),List(39800380, 4789243),List(76040842, 62581564),List(73184655, 11463172),List(35128879, 37581048),List(99813246, 26534634),List(53669819, 21959306),List(66530352, 67805455),List(2227830, 15132380),List(36109636, 81366597),List(38303429, 4846335),List(77348701, 28132729),List(46432783, 16455164),List(32631149, 95523684),List(40516006, 24860458),List(6337812, 11786463),List(51629001, 99804804),List(87572345, 6660135),List(50178016, 8139577),List(34214536, 49039332),List(14187859, 79851818),List(65502086, 64607167),List(35021362, 15892870),List(55856382, 37359515),List(10197270, 47353951),List(27075535, 10089314),List(43739604, 17524272),List(97845865, 84484702),List(82675225, 90101749),List(22384321, 27395990),List(685895, 70724388),List(89206998, 55176075),List(36188892, 77799647),List(14775547, 45364537),List(28249918, 36677515),List(68581673, 88220572),List(27676096, 14125228),List(60435175, 61601078),List(88538508, 897239),List(8969918, 17446275),List(67783921, 11796598),List(80215761, 16969832),List(49104663, 16981519),List(14967319, 16480250),List(70724365, 8754431),List(39395374, 73607810),List(19794366, 69704692),List(62738784, 56400710),List(80587040, 52752600),List(7598127, 11890040),List(26439909, 87862191),List(92502114, 9333048),List(55601082, 35905045),List(83794952, 39813319),List(28249189, 26971068),List(42294928, 18535469),List(95575162, 94566778),List(6639507, 10888429),List(60015497, 20156251),List(98444111, 803313),List(8934059, 47620302),List(14504745, 43522851),List(5268622, 78694497),List(26360439, 89036077),List(23020365, 76376823),List(3124763, 60262074),List(62693193, 72203081),List(60800032, 16743106),List(22578566, 28164225),List(86522331, 38525794),List(39076102, 40664083),List(54223544, 78126088),List(19902289, 3395025),List(67497488, 14654279),List(71296646, 51006661),List(56981357, 43915746),List(32431648, 85706822),List(9676683, 350074),List(1275865, 5323660),List(10833676, 8972664),List(69664859, 55979597),List(770188, 77287484),List(82802396, 29362815),List(52925285, 41543047),List(58173736, 89498415),List(86842522, 53092454),List(11964986, 72431252),List(86734373, 32318602),List(57671815, 11922180),List(67327773, 37513321),List(94407612, 22279489),List(11968884, 17224770),List(70569575, 37679217),List(44933159, 22076205),List(58215364, 14008215),List(70257328, 72679284),List(11680422, 16320744),List(33188452, 27568194),List(22801744, 36010977),List(95141922, 19786317),List(74818469, 53184948),List(6991, 94296103),List(6682572, 23967290),List(47671666, 42051146),List(28402015, 71493415),List(38747078, 81625736),List(33102498, 49674061),List(92950677, 56396404),List(5478376, 71703969),List(4731930, 18143464),List(97545381, 16278273),List(13271166, 5686882),List(75567369, 38770974),List(84756549, 60277011),List(39388534, 84859677),List(44862584, 2773981),List(48980463, 55687798),List(35737601, 32548919),List(23963999, 99568041),List(30820373, 18216890),List(92780830, 79181402),List(76216103, 5373485),List(30721637, 26953282),List(46820321, 52124753),List(1999284, 41567069),List(9155785, 86669861),List(38192559, 32762282),List(96625835, 36762817),List(12713666, 5877698),List(76627992, 67850862),List(39879323, 65107302),List(67158643, 67355730),List(28086915, 91250430),List(94854510, 31188933),List(92656580, 49697835),List(26398263, 54957826),List(11520442, 43681630),List(25816542, 15042108),List(47246048, 59881937),List(4954047, 48189191),List(8394906, 43041643),List(95427872, 74406998),List(7620537, 55942525),List(1889620, 67676222),List(76564349, 31197599),List(34971803, 46470806),List(16815865, 43778250),List(26960198, 20875619),List(81731227, 36062295),List(90504660, 73997034),List(70431576, 17957078),List(50732671, 60401137),List(6919034, 64400731),List(87700710, 76539445),List(91472873, 20479833),List(27618666, 86964232),List(92214221, 60010051),List(33567571, 98494389),List(1178109, 37333642),List(72791083, 74315470),List(55100404, 20919503),List(79889384, 42825195),List(53927174, 27885090),List(90923967, 42655425),List(88835481, 36214099),List(25623117, 30052624),List(80181625, 52872369),List(16136249, 85641559),List(74072159, 23498252),List(21711337, 95246173),List(76667506, 53709611),List(700008, 2321404),List(64857961, 66692591),List(99298294, 3603353),List(38671310, 25590299),List(94819600, 74995468),List(80453665, 60724926),List(62691646, 86988356),List(27625807, 50895968),List(34276562, 78381693),List(81937998, 95266335),List(77940882, 62193190),List(62329834, 44310064),List(51653952, 805786),List(63334343, 70029066),List(60862509, 52979611),List(5876399, 98271954),List(52603083, 6125632),List(19762575, 52676248),List(91624381, 31581104),List(25095948, 2106519),List(110934, 75239943),List(69539956, 33156330),List(38154624, 74008429),List(40666502, 89229102),List(85499422, 55629862),List(3793539, 23102016),List(49445184, 73003589),List(24388769, 92466366),List(58660504, 53952041),List(83636380, 42587030),List(3061307, 91280775),List(73721872, 11692906),List(49117787, 53460626),List(54273645, 73578565),List(82954676, 83400917),List(95702661, 19584347),List(88952880, 36972948),List(70836516, 8593766),List(17489545, 41263561),List(5195935, 49549941),List(49159107, 82982425),List(66413838, 865687),List(56552403, 81043035),List(30564032, 22669151),List(47103036, 29143669),List(98498482, 47429610),List(74077250, 87247829),List(43696126, 81640250),List(42487357, 60033422),List(57744722, 44963327),List(74720498, 45745348),List(23072433, 57246743),List(15791825, 34658681),List(6048213, 8832946),List(57593721, 72343557),List(45515566, 21078587),List(61172664, 78707185),List(96337832, 18461974),List(94907779, 6193529),List(19871739, 93006336),List(92634181, 17376416),List(99530648, 22128304),List(54181094, 38591879),List(28393222, 77340274),List(42361671, 17076047),List(41417103, 79777358),List(32095204, 96800617),List(77090104, 59048356),List(11042594, 13337452),List(87061389, 41769436),List(74599315, 85459050),List(21892826, 54909669),List(73056774, 41306326),List(20843109, 96238608),List(22275853, 70607931),List(80883848, 44840192),List(17724686, 34780602),List(63321922, 50622421),List(14295285, 27451066),List(73179893, 87206569),List(43171872, 20686228),List(62789047, 84157591),List(11629752, 93005126),List(39270132, 8326879),List(51544145, 21585535),List(36171344, 614346),List(42109837, 40011631),List(39809644, 23263313),List(763222, 16398844),List(3626383, 93569096),List(21582273, 60409690),List(28738776, 9025362),List(48891877, 87445985),List(17933616, 23230332),List(65963564, 17623770),List(16915784, 13461008),List(85875389, 36846698),List(7413805, 93334316),List(90593171, 91657523),List(49319511, 72095419),List(67447301, 25265416),List(41769318, 40965826),List(33541268, 40260455),List(44791885, 60977912),List(77823843, 71045301),List(8909840, 78451016),List(7870773, 66674548),List(16058905, 17555921),List(94460682, 10890526),List(73902147, 61330251),List(65243232, 1780280),List(65249023, 89455991),List(10183226, 12762480),List(65337306, 33330430),List(24691622, 93475776),List(78768759, 27447124),List(13821827, 9254672),List(84544449, 37077084),List(67784942, 46681386),List(46716996, 42526758),List(887014, 55355937),List(49601140, 84835005),List(5620117, 69011226),List(60688441, 77777575),List(57306682, 72866670),List(43181973, 97763758),List(28158145, 30875337),List(21438068, 39069436),List(36635123, 6716487),List(85584783, 15322430),List(96894684, 787639),List(47061917, 4821568),List(2952198, 94476912),List(76833344, 48631274),List(11930688, 28980045),List(4507941, 89085790),List(26741351, 88801211),List(32421340, 99367808),List(9524653, 96667),List(52312987, 27176163),List(89919157, 11765130),List(24211702, 25389946),List(48633027, 374458),List(43751787, 45629836),List(95597172, 45569785),List(63812120, 71844651),List(66942486, 99360993),List(97134845, 90348212),List(42241796, 3072127),List(31262373, 26474092),List(79536325, 54909958),List(73849283, 11939576),List(82211588, 97394034),List(25230283, 72537228),List(25026894, 78958877),List(549438, 21893672),List(28994802, 11081625),List(22483036, 48962979),List(70150568, 2487484),List(64587718, 11722331),List(95098171, 41607139),List(1624615, 89668622),List(78890926, 25349913),List(69514657, 75337270),List(29505571, 63100125),List(2439793, 30670151),List(92172793, 42213922),List(4726737, 8062136),List(77545617, 19835180),List(54125894, 86399229),List(48363419, 87197617),List(60558872, 59838121),List(89373581, 15097802),List(5826744, 58277464),List(33562387, 98216183),List(19723605, 17706739),List(69302831, 58796239),List(74480774, 6883907),List(51562775, 17972163),List(46423039, 39191348),List(8167662, 48312915),List(7128478, 79686021),List(74213997, 28255611),List(51061100, 84434987),List(2475761, 73151948),List(76691465, 50969677),List(16612305, 6684111),List(46150246, 96006109),List(13709666, 38430746),List(43098414, 28815691),List(86663554, 52541561),List(45612380, 73060069),List(14787848, 44214472),List(10927114, 41463108),List(16242746, 22051213),List(90405773, 76817824),List(10434927, 29683369),List(51424937, 42995433),List(28875326, 75675512),List(62571476, 97768226),List(66294117, 13605306),List(66032273, 62264684),List(91298434, 83110287),List(80226838, 45305691),List(1450560, 41198658),List(84284083, 64899323),List(6743248, 26624808),List(23603289, 7880047),List(28144301, 26748737),List(27847059, 63446268),List(44648408, 63942215),List(73922022, 70942922),List(99977241, 40082833),List(23072916, 85664525),List(38485174, 4286045),List(53939042, 54195937),List(16319231, 58577184),List(71300563, 60381682),List(90152341, 2167678),List(22158312, 53804096),List(83597845, 24988859),List(69012953, 84346979),List(2959539, 79906287),List(54246172, 99997760),List(94436745, 74710753),List(93459777, 24328127),List(89104008, 20587929),List(90190776, 62382990),List(22768741, 96448745),List(76472059, 42121822),List(39932100, 47673799),List(8863387, 73053207),List(44570766, 57736218),List(119400, 57585617),List(62066476, 26041787),List(63793219, 84347145),List(13710871, 99205072),List(45372548, 39779899),List(52380269, 51575209),List(55148374, 22414403),List(52130684, 29035082),List(14973833, 25701923),List(67322020, 83744069),List(69412396, 27817501),List(89001933, 17770031),List(76103752, 36150351),List(80085534, 37764536),List(48104719, 49327181),List(84200326, 913733),List(8821281, 9351145),List(60515296, 10897226),List(85224625, 94619260),List(19829970, 53532505),List(47831099, 22865394),List(42731914, 7332499),List(92925262, 27846456),List(50649966, 16438466),List(58653856, 23710418),List(25844732, 93132771),List(60112673, 38295388),List(68359496, 59962576),List(19390770, 32453856),List(4806514, 57328931),List(59313388, 9983535),List(82610025, 34725818),List(28433271, 1377076),List(19782465, 82372576),List(72835425, 82404137),List(750941, 30415924),List(20124469, 34447758),List(30482848, 17820354),List(96040338, 59888726),List(24732815, 23468557),List(3628362, 86421354),List(85541339, 79408210),List(86920539, 99230781),List(24440678, 23790228),List(21950397, 1465511),List(85829301, 47477877),List(22193671, 47894183),List(37390640, 59620365),List(29022216, 17167675),List(83739221, 42582566),List(75467432, 52362681),List(60841141, 80495711),List(82337001, 49032709),List(55064783, 65934928),List(93940485, 29358677),List(16211499, 14007514),List(2437958, 4294006),List(17317228, 11874228),List(10966063, 31076837),List(90033748, 99839433),List(72557420, 44510638),List(34340496, 23596267),List(51272376, 44760791),List(85944547, 22215559),List(54420054, 89147503),List(42325781, 46662394),List(84094826, 45900199),List(43551201, 34044932),List(9470669, 17882050),List(10117308, 4875297),List(59530686, 51528842),List(51744199, 59066886),List(65647044, 78916567),List(84738623, 46223396),List(28265784, 53012948),List(69607033, 62415741),List(37149192, 76364135),List(79657012, 19034296),List(60193139, 93668890),List(8641908, 97759939),List(60123189, 59279854),List(16530938, 60262129),List(93381037, 29067654),List(10768458, 99003190),List(4338071, 16116436),List(11384640, 9156942),List(80180570, 17896635),List(70871129, 96502140),List(52633787, 9984309),List(30176143, 46420480),List(46463391, 57291255),List(46899801, 74827642),List(49923199, 58833112),List(31852577, 44914416),List(48048543, 47709409),List(47164181, 97051457),List(10837166, 55098385),List(70934995, 16981418),List(58347764, 96965408),List(46791850, 62602531),List(4191923, 36521407),List(53609732, 1815603),List(46511381, 43642312),List(36629969, 44213274),List(46500306, 37678899),List(33214189, 39732955),List(70603269, 45304152),List(48017025, 62187257),List(51567388, 61854142),List(79317084, 38143306),List(41991784, 4460339),List(51872679, 19807254),List(3087680, 43160374),List(87309349, 20843911),List(26438724, 19714268),List(84446781, 4359208),List(25295051, 28866833),List(78065243, 18891005),List(29144727, 73594681),List(22522711, 53855073),List(47484349, 51379456),List(24482785, 10959680),List(31049670, 44917673),List(13893206, 78038512),List(15956422, 33500703),List(93038006, 40420120),List(28886383, 10008802),List(77447391, 88786320),List(32265339, 99287062),List(57569912, 70501557),List(54187193, 79720451),List(74556407, 90469613),List(15438574, 78380939),List(73747058, 23351866),List(47450983, 16672156),List(68547808, 56795137),List(46761721, 93432146),List(60279092, 25232539),List(43378198, 37466421),List(81320101, 56639552),List(48718888, 1936909),List(82500555, 1598984),List(23230335, 75933737),List(43786263, 71402582),List(2348744, 55748514),List(83019912, 17969447),List(89973510, 24588142),List(66020133, 28615144),List(50919517, 11464412),List(99382330, 71879506),List(40531682, 531243),List(91527614, 85624541),List(37770255, 99225201),List(70353932, 26353988),List(32285745, 62700365),List(48010971, 77641924),List(57477067, 29863946),List(32561445, 98030960),List(93265575, 38326587),List(69644481, 80082739),List(9720722, 10748636),List(9327459, 37713178),List(13575482, 59625038),List(16372300, 92928337),List(60758527, 44415601),List(49627523, 51851530),List(86092076, 82828555),List(16377005, 73713940),List(69724990, 10661217),List(60625419, 625900),List(30359713, 50751815),List(95062952, 78778996),List(99110576, 40657698),List(24614202, 57140282),List(74159646, 900358),List(41378565, 25825917),List(72534817, 94249340),List(70435366, 75239606),List(40400492, 6673597),List(2423490, 87878589),List(53689561, 30661591),List(27355778, 4938595),List(82688161, 46780363),List(8016896, 36790178),List(72200519, 2655670),List(89692306, 25887459),List(28964497, 47028311),List(37600557, 81648947),List(53260233, 59798541),List(21573432, 48817542),List(89442783, 84736105),List(71760837, 71834631),List(53439709, 48808637),List(63201254, 10137438),List(26452337, 53240568),List(78349453, 12554149),List(92764242, 35814108),List(61382283, 6268773),List(68606619, 25590205),List(80381040, 1346829),List(66266922, 22304578),List(5724838, 28273374),List(48478644, 74518488),List(94123700, 5951125),List(70603076, 25367095),List(47457764, 7762564),List(80364176, 27519352),List(19661898, 49632537),List(16368484, 36692143),List(96769703, 85506904),List(82648700, 95507784),List(88001469, 11039647),List(66830931, 22384660),List(50590365, 16681961),List(9015995, 20151064),List(91606432, 637512),List(52678034, 49643226),List(88102105, 19036117),List(19363706, 67693234),List(8586753, 65135725),List(99076977, 8855064),List(21821994, 2119648),List(40395461, 3279814),List(35745276, 55195099),List(6214556, 36358468),List(72341642, 81958806),List(86966589, 93789705),List(57170573, 28984626),List(52490641, 7539767),List(1616482, 35190797),List(23164803, 92995892),List(30371538, 56421563),List(47323476, 91502361),List(6398255, 14253690),List(13845928, 63624795),List(77795643, 73010345),List(58256086, 21574797),List(52215838, 53129856),List(73868255, 38010717),List(56618237, 6457663),List(46647200, 43939202),List(53338653, 21313732),List(19716877, 30162578),List(31592269, 9916339),List(53399559, 1868718),List(23087649, 70274420),List(74991122, 9906112),List(57141726, 49293449),List(28241435, 12441664),List(13229323, 78900097),List(90443951, 95517995),List(54285397, 66064356),List(66188214, 97321942),List(79664516, 10262624),List(14126355, 47646318),List(8026210, 43642709),List(9445063, 54425888),List(94171770, 75828950),List(81507210, 375487),List(8852675, 7051389),List(88413660, 50242935),List(13091131, 29411016),List(11033760, 21631787),List(86786648, 32578880),List(66456503, 24687932),List(37016942, 25654466),List(49230892, 44525351),List(99939646, 50378182),List(24773148, 88824729),List(37507464, 9573598),List(43372384, 6267976),List(25591625, 51263193),List(29981991, 76231416),List(43897733, 93506098),List(71024542, 97422146),List(52395260, 40107315),List(64233613, 93371990),List(9930095, 1003393),List(46287273, 4167584),List(66075849, 76548655),List(49109939, 96331854),List(716553, 38215739),List(41476103, 85621760),List(85576007, 71343827),List(53579962, 3185655),List(31187376, 78276324),List(17769470, 21334729),List(11300103, 93777832),List(47131396, 34062168),List(85710618, 24262577),List(70527059, 87428336),List(46551611, 29366187),List(71939864, 56274097),List(31794017, 88655713),List(89059675, 50222824),List(5088221, 8754933),List(63916300, 99112547),List(56471939, 80862818),List(42720669, 68728586),List(50575729, 69639456),List(68274964, 27445673),List(88771995, 77015959),List(15212645, 44763200),List(85769370, 51864306),List(42958635, 40813452),List(82248227, 74640075),List(42555780, 71219645),List(30770781, 12300356),List(95574847, 33719130),List(15912265, 74590082),List(15416366, 5740073),List(18675708, 14475389),List(58914542, 59033751),List(20733280, 63554146),List(88210343, 15235620),List(84677225, 69903793),List(74347047, 45123122),List(11758327, 96563712),List(52815333, 73647829),List(72150763, 43603334),List(67473584, 89525647),List(75035219, 24579585),List(54473383, 2074639),List(64276412, 18492346),List(73291715, 54856069),List(95494278, 88097625),List(78994692, 8892864),List(36245366, 11288680),List(57373672, 43115091),List(52739828, 44682392),List(67961329, 73783269),List(66934873, 50490580),List(97897240, 84131262),List(71827531, 21805446),List(60963106, 24606537),List(56619724, 9514657),List(8093147, 84523624),List(80863679, 28191323),List(59422604, 57999952),List(80341264, 23257221),List(46172648, 83704884),List(40947527, 51282585),List(71754862, 24165313),List(42385509, 82133847),List(55138808, 5595244),List(74401648, 43745125),List(80567118, 96621691),List(27150789, 51449962),List(91478987, 65712072),List(33383780, 97956137),List(6735025, 39940751),List(23527038, 36300777),List(79016596, 94605394),List(33788984, 71924685),List(47597918, 94685173),List(47557237, 59695603),List(95026618, 73247052),List(63029300, 53501200),List(71141422, 15988213),List(15720452, 52956753),List(52935370, 89499400),List(63693156, 21363666),List(80658353, 60154896),List(83412017, 18051691),List(96776503, 33543568),List(5294201, 55177270),List(86898656, 9708006),List(10016488, 14655424),List(73933194, 59960869),List(4247812, 34076932),List(62216092, 60838397),List(91559830, 15612316),List(28187788, 15277130),List(10211182, 31508793),List(51638701, 97115496),List(7618296, 49024703),List(41328155, 93094125),List(54337434, 25837371),List(68274807, 4971845),List(95654279, 75607817),List(38719970, 70558469),List(36544644, 23545390),List(41459059, 53396918),List(5700380, 34975994),List(8574009, 26984218),List(92771688, 80819279),List(64225077, 40752892),List(57290238, 41121013),List(52267139, 37685608),List(20986111, 56384821),List(14651217, 96383345),List(22124102, 45465814),List(99415730, 12375518),List(56397143, 63142074),List(57760497, 61888130),List(47198635, 72442433),List(50765042, 6672087),List(22393785, 28533801),List(81859074, 96900151),List(85699267, 77385679),List(91817813, 51382783),List(29263195, 80980677),List(33914969, 86134261),List(97733808, 9916612),List(89035637, 96923454),List(63633734, 84191294),List(77742169, 51885783),List(68489056, 9318619),List(42900440, 6643743),List(98655372, 83209609),List(17446322, 7494752),List(1188690, 78504632),List(82676360, 39730834),List(75194855, 33821874),List(90176658, 24034160),List(30847387, 32644593),List(7551794, 84154676),List(45369525, 91516305),List(90817949, 25323906),List(97376743, 25932539),List(56062195, 45362501),List(71348173, 39310141),List(45769140, 50143895),List(89812133, 59576075),List(77021706, 49173466),List(45021709, 69560977),List(73525662, 57346382),List(95091780, 37746534),List(84568187, 83645677),List(31905629, 66573852),List(84801015, 76208052),List(40245093, 46270798),List(51264504, 13783955),List(48533384, 66713996),List(74395516, 43649814),List(83193337, 58001382),List(53964801, 59933566),List(36649902, 79442935),List(5807002, 42825313),List(51812851, 5781135),List(98988264, 95848674),List(82653730, 84366102),List(34545275, 2266491),List(47791552, 72975095),List(81362498, 96480872),List(82951102, 76729895),List(15186082, 11344804),List(15479013, 26274406),List(75418385, 59447219),List(22525094, 30567567),List(9943809, 752707),List(5142307, 41150532),List(37433891, 43034033),List(37735026, 94033746),List(8289399, 98501013),List(89809614, 16036292),List(44931375, 15143138),List(75383266, 45264073),List(59363139, 47232523),List(94821460, 74715121),List(91638245, 28183638),List(37827065, 55193494),List(12054426, 80463296),List(73538430, 78946378),List(8137966, 15251086),List(19295768, 50172779),List(71869873, 55823726),List(76400100, 31023111),List(50453800, 67168369),List(39609336, 16666649),List(33172760, 43167903),List(61024224, 15861126),List(46933530, 90342933),List(39344931, 34674574),List(68509627, 39800921),List(89523497, 29037559),List(68578242, 91210289),List(82422959, 28787398),List(58722602, 64084549),List(71011780, 16723795),List(86355260, 23299506),List(93618069, 18251524),List(81748648, 99196610),List(69326944, 23898054),List(180413, 35912504),List(43089869, 80748414),List(78301590, 44858784),List(69584875, 7703765),List(80625356, 57889664),List(70055590, 51233399),List(9516656, 95102097),List(39158547, 18686778),List(49803171, 2458860),List(51624745, 53724369),List(83608894, 89961718),List(63370568, 94520418),List(6484999, 58476607),List(49398971, 3715210),List(43456248, 16178523),List(80597480, 8989665),List(32695582, 14248429),List(95487056, 88641598),List(81616213, 53101288),List(14011261, 88301012),List(60927503, 20544366),List(65141776, 46537677),List(39401270, 92102864),List(45443342, 4414767),List(61084139, 94297132),List(60505638, 68569400),List(51350084, 77474963),List(45480013, 24960439),List(25791073, 73229881),List(35528767, 60725608),List(82753820, 42489695),List(97291982, 6186151),List(40288562, 36638967),List(96458344, 53661121),List(1543561, 32172439),List(29199817, 49600836),List(87645232, 68798124),List(18705585, 93266861),List(71269809, 49809912),List(72253315, 26575353),List(72057791, 90167572),List(63570078, 28802664),List(21986242, 19084977),List(75006240, 82057368),List(4226317, 30489227),List(93853500, 95121474),List(37401003, 38314801),List(80114722, 99901163),List(81121365, 32529811),List(80062937, 91951884),List(65745660, 85547452),List(64775346, 42473440),List(85782764, 62085556),List(73983850, 96275522),List(17571307, 98154094),List(53253319, 64815660),List(18059182, 86926937),List(59164323, 23190438),List(47891588, 94339525),List(27509244, 19759874),List(20449407, 4273473),List(46511322, 94095854),List(83364588, 98585750),List(94083779, 84148994),List(60333086, 63294771),List(41471317, 64624565),List(90373215, 2613819),List(25570961, 36991644),List(12144688, 36616265),List(86101078, 61885807),List(92474203, 40570373),List(27212638, 89496195),List(87761893, 82142195),List(79723668, 18937606),List(88914001, 95989054),List(94101136, 76821012),List(57271070, 50947656),List(57843491, 23243748),List(50688328, 19592748),List(77713292, 32315888),List(19742719, 92796059),List(22039466, 32074000),List(4861521, 99271551),List(88984033, 37758195),List(99112514, 63433873),List(40346951, 2041176),List(10752678, 99469570),List(37145339, 61939408),List(76088547, 89849736),List(50328960, 21003711),List(36252568, 23481302),List(9455878, 52340233),List(38939346, 69174110),List(46835634, 23013690),List(43859856, 27812650),List(8532877, 8766508),List(27574119, 24642961),List(96690432, 91821137),List(64167330, 64504289),List(18498584, 48759476),List(57660230, 52865329),List(36910233, 77972492),List(26919301, 30389827),List(43372318, 14352922),List(6161904, 98791128),List(73242097, 78346642),List(39261126, 99414845),List(36541882, 34645221),List(14125107, 38611435),List(70019446, 15856204),List(46438869, 74349635),List(68763619, 93313470),List(53026939, 69211642),List(40004414, 57096085),List(77021350, 77632782),List(65500750, 6272332),List(7077888, 31611703),List(71083637, 43421424),List(37556284, 82215653),List(41116824, 26362005),List(30709554, 55535721),List(13486921, 44198766),List(28626950, 58857864),List(60712336, 74104383),List(86211825, 36304217),List(98722354, 22556367),List(83332625, 97840380),List(3501891, 96731105),List(2311911, 61979224),List(95071305, 85742247),List(66365167, 40794885),List(30706870, 54556147),List(69418906, 30088537),List(29136999, 67981459),List(44097322, 68585685),List(21114787, 79329393),List(43247011, 10403878),List(7503838, 20839216),List(36565438, 42939321),List(33917506, 94166835),List(45164870, 62068351),List(28041527, 25328590),List(59930970, 40553651),List(41442150, 83176058),List(35839310, 87797223),List(83412311, 63460016),List(32553310, 53509624),List(52680661, 54682387),List(35308718, 72532900),List(35252716, 93970875),List(39132255, 31528288),List(58365935, 56094091),List(35604880, 69616931),List(39790592, 27338502),List(42293174, 29927501),List(41367797, 99365033),List(75582852, 57880574),List(93970700, 92495114),List(13434622, 90216092),List(66829690, 17299394),List(95714854, 78220922),List(53048517, 53907003),List(84090273, 42226178),List(38459738, 88948746),List(29679892, 49674438),List(46592537, 1929656),List(13895727, 29396557),List(36358713, 54235681),List(12841323, 52869888),List(27333419, 50697056),List(8442527, 6877759),List(50637644, 58163667),List(34611328, 83159209),List(7749245, 83234090),List(92760006, 66528861),List(96976130, 83223980),List(74490037, 3086150),List(2284998, 93969585),List(81319752, 96831976),List(17442051, 81756972),List(18573468, 75509787),List(15980873, 22960273),List(70329499, 16807676),List(96032974, 18743887),List(56478906, 45028774),List(80971479, 92114168),List(5170465, 99430906),List(33245449, 50583258),List(69633865, 70874577),List(68982224, 6878108),List(77628057, 69202007),List(50996161, 7792695),List(89234521, 57863261),List(23562396, 24806827),List(23237950, 62609454),List(89925250, 28474774),List(65682507, 95977143),List(99003261, 27385751),List(90578794, 39960033),List(13501652, 73473386),List(86690832, 35744194),List(91035421, 53264251),List(28675537, 11341248),List(10747420, 96210135),List(31801876, 27891525),List(11538248, 82742720),List(14688600, 36177288),List(73919731, 43902252),List(81369711, 58036564),List(68517182, 22973163),List(50951657, 15075240),List(80166169, 53842741),List(24287139, 3159245),List(96651089, 44346841),List(83118386, 98491582),List(8065808, 86009618),List(2905536, 22099272),List(15256907, 19648239),List(52541733, 74508523),List(62324360, 16058355),List(39014223, 28223429),List(88933639, 90684340),List(74740284, 69768102),List(78910811, 92779541),List(83844088, 63604836),List(22044816, 57292607),List(98652129, 26601312),List(30020133, 1920105),List(89529892, 76278763),List(41673106, 37855478),List(91468517, 49151086),List(51649004, 23854519),List(99614532, 10274089),List(43270500, 13261516),List(77080269, 45607660),List(52187334, 72496745),List(38766270, 67224106),List(3206660, 50712896),List(67286054, 23006904),List(17482203, 44265192),List(60015647, 14738922),List(74401588, 40376698),List(72492383, 50655490),List(89572073, 69402965),List(18712613, 77880404),List(50033237, 33486466),List(81447106, 84869556),List(28790929, 95068284),List(3990260, 38405115),List(13185803, 9672752),List(23279234, 43932777),List(96551207, 81065503),List(96707289, 53317999),List(21096629, 79426178),List(78612440, 67318168),List(74846151, 68710617),List(56800765, 24695874),List(28834865, 39234352),List(97547847, 78482132),List(14439991, 10208105),List(39516420, 65574666),List(88076136, 18021413),List(737316, 89553644),List(15020380, 14206872),List(20176359, 66377611),List(14755369, 48042670),List(60772883, 1188560),List(94811373, 89934892),List(60787406, 71650384),List(27963880, 62548725),List(94263986, 68745016),List(72160657, 83698299),List(34260477, 19207479),List(707546, 85167091),List(19034697, 12675105),List(3520475, 38998122),List(12352958, 2875053),List(10309498, 20786990),List(22748197, 15489190),List(13447991, 24305439),List(28940646, 3755218),List(19915630, 55523747),List(83534285, 84028634),List(4261123, 31199142),List(24202442, 24584881),List(86578008, 91604358),List(3824337, 32366656),List(94843300, 76528968),List(31984405, 83771508),List(63006591, 83834959),List(65559214, 16644877),List(33366, 41054964),List(62580955, 97352272),List(69964103, 95557901),List(31882203, 31010587),List(12523247, 1872809),List(35694070, 34368818),List(79663863, 21479965),List(23061698, 97642393),List(5604240, 92694348),List(58674123, 72971455),List(94069843, 29833528),List(78673461, 99891186),List(56096281, 80422598),List(57693147, 61867176),List(89832488, 9525319),List(32550703, 94799261),List(28138970, 31571225),List(45568869, 91538911),List(74364232, 43183753),List(74936457, 11841774),List(87837819, 56734049),List(96596933, 97887912),List(96308767, 13070961),List(15150900, 69847909),List(6907933, 32339265),List(15128556, 45638365),List(14784673, 81831075),List(56446026, 97661361),List(61820611, 90686284),List(22455521, 49495754),List(7669370, 97642657),List(61732135, 3015320),List(12721250, 58658583),List(18112724, 56259693),List(76260256, 76965043),List(81077718, 94172025),List(45688616, 52303553),List(52408999, 98528172),List(51340844, 94925070),List(70337839, 58096253),List(51210495, 56693655),List(80225731, 32568716),List(85789818, 48133197),List(29847402, 95283174),List(44369110, 41730963),List(31578965, 84071302),List(30656303, 17152505),List(26001075, 55642291),List(21695138, 88332294),List(17179681, 60578452),List(59857520, 31726779),List(61921120, 23551698),List(50494949, 96754441),List(81961463, 84237837),List(19240708, 64815647),List(44233683, 95666030),List(16701588, 73315143),List(83495060, 44404844),List(46275429, 63926154),List(35207371, 52243569),List(58868899, 63033440),List(52644917, 59560770),List(3963151, 37026819),List(18803162, 71726758),List(83141654, 78951532),List(39647247, 39544950),List(79326310, 58998738),List(16893574, 38195241),List(27139524, 12380216),List(26707496, 94134203),List(98523539, 64296387),List(94313532, 37202048),List(99494821, 35211222),List(93271053, 78999101),List(64441853, 15124382),List(40214105, 36922001),List(25981399, 32419549),List(15125092, 89986052),List(41261764, 66383658),List(90640481, 37856686),List(95554974, 29394559),List(68699470, 5321792),List(78962097, 27077187),List(34538651, 16772976),List(71477019, 72485060),List(93680121, 3853446),List(26112101, 90139837),List(15103732, 96604396),List(4023420, 70594443),List(11205121, 33276938),List(36654755, 6205345),List(34734161, 18105032),List(99960352, 42010131),List(6895846, 85257091),List(15416622, 12937763),List(75218858, 1735853),List(59532258, 41080258),List(35221285, 16454806),List(77901210, 6892165),List(40542999, 97481391),List(337471, 78648080),List(458184, 29031880),List(47814025, 71367826),List(99801904, 38807783),List(17913877, 91034720),List(56047471, 32084469),List(71957834, 5339203),List(84082450, 50233177),List(76623583, 24377641),List(81829500, 59554931),List(85032749, 10645294),List(18071601, 52435656),List(62005794, 14183575),List(8677602, 63853928),List(85683890, 34043131),List(40312072, 91911721),List(50970708, 22859506),List(55616153, 20637917),List(20617437, 91551898),List(24633593, 60167175),List(47080759, 33363788),List(14146373, 54079970),List(89273366, 65983734),List(40412444, 51608676),List(47669979, 49269066),List(30339115, 32707049),List(33073079, 58080592),List(90300073, 67124681),List(77408245, 7141883),List(58211621, 39127638),List(41577732, 7311775),List(70068611, 4363320),List(66418448, 27810272),List(25960440, 92463512),List(18831095, 43225871),List(71523697, 94322626),List(8528028, 81099959),List(21944649, 89094690),List(14800865, 78383048),List(45650486, 71360487),List(99962071, 79289626),List(22414761, 13737274),List(24558214, 7996984),List(60976653, 12087121),List(2370381, 52359003),List(73364088, 99322611),List(99197236, 20690046),List(70925023, 16989667),List(25294189, 60645563),List(21577505, 85788507),List(32100724, 6039316),List(51813596, 41849557),List(33694486, 46408949),List(15793687, 2727122),List(36929991, 55231076),List(79757499, 6000349),List(55185786, 33327196),List(99059152, 30462313),List(87108770, 91149495),List(64553284, 62982219),List(9240426, 18564135),List(12694124, 57507722),List(92631187, 3904372),List(50249679, 68973765),List(32549837, 31083822),List(25404803, 60654881),List(61320207, 41622433),List(89785905, 44370669),List(54686733, 11075154),List(43951878, 12497275),List(76782774, 9075020),List(55162802, 91005031),List(31148967, 39195339),List(7079203, 93895951),List(19587598, 29379456),List(17948116, 51924997),List(96046471, 86888596),List(79944301, 85050295),List(88299557, 91991574),List(47741984, 28184917),List(55195117, 38721943),List(24453026, 38820305),List(69862558, 51151882),List(74537422, 88971985),List(80014552, 20325153),List(98196874, 82956954),List(25565114, 7363829),List(6249233, 98300424),List(32844059, 57440949),List(60645577, 8066606),List(13496632, 82742962),List(40455021, 63440196),List(49746899, 75616289),List(96920235, 97088207),List(61867936, 19766293),List(27201818, 75849399),List(33368702, 15070185),List(92316609, 36415635),List(83816948, 14852232),List(15933806, 16952478),List(29961194, 85720763),List(41621788, 35919416),List(57330727, 74168005),List(9713011, 50657199),List(62221149, 18784855),List(88658849, 41528658),List(1709624, 13330782),List(55408597, 35628308),List(48242199, 63508904),List(22564552, 58685512),List(93166796, 7583746),List(11271793, 37806962),List(42453715, 57926799),List(71534904, 18758901),List(18604115, 21915558),List(19668773, 89414015),List(63918629, 51108030),List(38394374, 2270787),List(66731257, 95209468),List(60405757, 28112633),List(59266454, 80942843),List(65980605, 37055942),List(88459328, 54030773),List(34403225, 95896682),List(72973889, 75347735),List(88618101, 86973649),List(20760360, 34508178),List(25884365, 65332876),List(50821579, 90177140),List(18924824, 33490248),List(91052958, 91085964),List(67615814, 21192571),List(58730851, 65453585),List(18795543, 91278400),List(56909740, 47078623),List(72472376, 77076426),List(18199533, 94009088),List(85317483, 21545888),List(76961995, 949188),List(36935573, 70622003),List(73545762, 62411685),List(66744074, 99216100),List(71812638, 7335275),List(77173118, 93523765),List(27025005, 14693682),List(40698638, 54664746),List(60112712, 84759770),List(17138686, 82319414),List(51728154, 71381938),List(20892243, 90841768),List(42959853, 70536595),List(82023964, 66658043),List(97567773, 52431108),List(58104641, 11528260),List(87274273, 44883922),List(24570423, 6576289),List(55982388, 418947),List(29295904, 23174710),List(75067683, 82788674),List(60693691, 47872751),List(20673994, 21879494),List(11669102, 42309002),List(90419072, 19877742),List(99834377, 87363656),List(98557428, 48978305),List(68385391, 78890714),List(96202486, 85868061),List(71507281, 15196955),List(68938325, 77539931),List(78727400, 54071202),List(79210870, 31830468),List(92410192, 25738719),List(64520884, 48534537),List(65193888, 57485403),List(95143027, 63949799),List(3822392, 84701394),List(22024856, 27575176),List(88007816, 3448565),List(50619307, 97954050),List(1343214, 30854373),List(46185397, 70037266),List(12998073, 58343585),List(33966685, 43799873),List(23822654, 52837874),List(53883449, 26310293),List(75697124, 59054873),List(81726247, 82774726),List(74315435, 17670381),List(46108672, 54063675),List(79996961, 13350413),List(53410327, 64994176),List(93970850, 86462566),List(88428422, 20327308),List(42064601, 39813255),List(25229256, 61350060),List(55896519, 69372736),List(75394273, 94216748),List(47199756, 3616596),List(69736680, 3974193),List(52122359, 61908265),List(75484199, 16177159),List(23221562, 57776069),List(40740045, 38457243),List(66320542, 63692446),List(12751669, 69417926),List(16811801, 95481541),List(81643793, 66372318),List(8501142, 99495298),List(84498188, 29789297),List(36175184, 46356598),List(87030045, 77995115),List(94515365, 50466804),List(7606233, 49228231),List(39723869, 28617963),List(27223064, 25964272),List(17955206, 76187027),List(73970271, 15952642),List(70890257, 72369959),List(85987874, 87981310),List(83370357, 68283661),List(50853433, 97974105),List(57202229, 81941024),List(79693079, 21587184),List(69207216, 32801996),List(85791515, 58722846),List(58089981, 64216936),List(73611767, 335297),List(75175884, 49005),List(49758435, 81514709),List(60020836, 46503947),List(70984768, 10858158),List(24899645, 69751446),List(71830843, 58746475),List(46631890, 34474529),List(48757747, 36658392),List(90144995, 45512721),List(76661802, 5880611),List(53807924, 63683099),List(36247771, 41252275),List(66394259, 77468869),List(72996836, 73338787),List(37409674, 36975728),List(41443408, 71534169),List(60052492, 19271088),List(30425404, 53243511),List(69142806, 90619096),List(56725493, 15377829),List(60059621, 49306936),List(90738177, 82426964),List(43062764, 78497066),List(54073930, 97079450),List(12818964, 47563104),List(33069379, 32909927),List(5398158, 28016635),List(32838129, 48597011),List(72730005, 27276753),List(73228349, 60585577),List(22902408, 70613461),List(82669526, 56042033),List(44002578, 92790474),List(43146118, 69257042),List(20877051, 62080966),List(16261569, 67007556),List(87736610, 77276361),List(42632756, 88057413),List(81398277, 75612885),List(26597358, 12204465),List(18808748, 11142666),List(6622313, 24182334),List(49388202, 62003084),List(57325793, 22432279),List(20401161, 201776),List(25763088, 27632577),List(51083527, 82639978),List(59051191, 93546243),List(70798526, 27224628),List(23625535, 52825352),List(29531492, 58971031),List(7870921, 80799074),List(11124652, 62277868),List(52158672, 27664388),List(6577344, 89684003),List(97722310, 71338597),List(96400, 263940),List(92772853, 13871648),List(5404823, 40662604),List(64113377, 17697865),List(29029184, 78833906),List(55655854, 33687611),List(92526089, 76322650),List(49508040, 45024738),List(92822690, 50411672),List(10677980, 1916016),List(92745404, 13954748),List(85558500, 4880500),List(6399878, 39715242),List(59919234, 7156641),List(31854227, 88892628),List(10030802, 33341300),List(14262239, 36945394),List(65549418, 16223648),List(65684802, 89786085),List(9838917, 47241613),List(96939394, 16488220),List(18068885, 57005622),List(50862130, 57134417),List(40689045, 57467088),List(1642089, 67297421),List(84612107, 89521128),List(89547026, 5753458),List(2709425, 61071555),List(4062283, 49511296),List(7923467, 61809539),List(25292787, 48105554),List(80606209, 32399828),List(70780665, 29022549),List(25543576, 43298196),List(5214614, 3816164),List(95919199, 81100477),List(6634685, 59651888),List(47919066, 25122485),List(72954728, 53423714),List(3053332, 53589896),List(40866638, 95470000),List(59199737, 73008205),List(72506800, 20305630),List(3356744, 3397066),List(47964595, 94336794),List(83368175, 87027276),List(75277162, 28765092),List(55151650, 87435167),List(79215870, 78393041),List(71295619, 40573231),List(5929239, 57364938),List(4243405, 95346586),List(84051771, 51129650),List(7631512, 63805152),List(55006912, 6010995),List(93275772, 5387857),List(29541087, 66715965),List(75579832, 57200452),List(66575188, 70871961),List(68523752, 16317951),List(6893895, 87442411),List(79013718, 93901638),List(33720262, 29620806),List(53093002, 25020028),List(13356618, 50022316),List(1559507, 17325932),List(45743990, 45249368),List(56718094, 22670342),List(63775837, 91555228),List(9604717, 15624136),List(50499782, 70819976),List(85771377, 31560189),List(4535354, 86826869),List(82808435, 48843987),List(83006165, 41611505),List(95894565, 64043631),List(66879910, 58405350),List(22979853, 74766197),List(15171091, 59491314),List(32104775, 54087471),List(38199868, 56014814),List(40439372, 98880288),List(55192174, 65777906),List(17971867, 67191509),List(25550635, 71002856),List(87937948, 78306358),List(41094775, 827708),List(51019688, 5683582),List(46204243, 64646001),List(8132818, 75544079),List(34572145, 57629559),List(27685629, 64289777),List(44053167, 26201893),List(54489751, 11297953),List(11049955, 83342298),List(13808908, 34586062),List(68152139, 67223651),List(96100713, 57665076),List(62588504, 97739174),List(57239107, 24238567),List(74000381, 14845628),List(39457588, 79889574),List(87364977, 1547318),List(70217778, 51711362),List(34340483, 45638776),List(46935193, 8006033),List(55840493, 40142822),List(42922657, 34330184),List(83747625, 10165760),List(79994948, 11463449),List(86577261, 53269045),List(81800748, 67000103),List(48842029, 7961803),List(5302547, 57538957),List(13516433, 51543365),List(38307878, 82428737),List(8960969, 26467728),List(73609240, 8591747),List(33843462, 92459608),List(97604840, 66118890),List(80138404, 356943),List(49349621, 31201670),List(56931347, 64088643),List(22582920, 15528211),List(21299878, 50497764),List(83379340, 44449496),List(15369770, 20289684),List(89020823, 25528571),List(62956903, 17624951),List(65864144, 65012143),List(73585747, 82532041),List(50717193, 89661893),List(88839278, 74665053),List(57250452, 81617675),List(41404019, 31620090),List(77687842, 26396567),List(95002950, 8076953),List(62739768, 32058212),List(61229462, 10016087),List(62929600, 32453134),List(12230267, 6978117),List(13883396, 75638438),List(35300300, 90774253),List(72164606, 78214227),List(74277139, 14955126),List(61947817, 43415650),List(45518348, 50718869),List(32362524, 86881516),List(91111051, 4351922),List(27375020, 6760430),List(49818371, 87016004),List(27617453, 41643982),List(54613114, 9557674),List(84432779, 90273698),List(8767913, 83714439),List(1243624, 16878865),List(21733560, 65524049),List(80378328, 82937898),List(83131448, 24221469),List(15463652, 63849018),List(86911540, 56035328),List(51283040, 11772374),List(21575220, 66306304),List(1240334, 35069208),List(27143619, 40723789),List(1586409, 75228224),List(90819320, 18016919),List(46975741, 50060411),List(53149923, 66994152),List(92237587, 50828927),List(63084239, 875856),List(10760830, 34411348),List(62196431, 3763635),List(57421150, 36695285),List(50208097, 22071660),List(79188448, 65597167),List(99461084, 40221322),List(37021103, 89186289),List(95660013, 21866093),List(55108874, 35592553),List(57673529, 44424923),List(70477759, 19069732),List(68971569, 28891266),List(44993750, 4692728),List(3380936, 95847672),List(70882481, 58852955),List(93572062, 90196903),List(26442443, 3592564),List(78181379, 718656),List(42870497, 85777403),List(96207573, 34024043),List(29399936, 64541109),List(32714535, 94924446),List(33541231, 49636923),List(21921262, 32433802),List(26480066, 7761839),List(13775208, 73761181),List(22029849, 74479641),List(47274610, 55133863),List(5590483, 26124986),List(33104248, 9483882),List(84825889, 94889607),List(97022688, 32531568),List(19536937, 86552757),List(35022171, 77055831),List(21603369, 67609499),List(72560864, 9761741),List(14193005, 53151559),List(56381981, 1202682),List(29290083, 43614779),List(51290906, 12985047),List(54801810, 50229551),List(42313012, 18158226),List(55825142, 74603264),List(96212454, 43909725),List(49755382, 56617579),List(5704181, 24756061),List(19393289, 2990059),List(77408547, 36622205),List(37923703, 94393335),List(70530700, 47852977),List(38662788, 74961753),List(18215869, 47550742),List(6384907, 78528649),List(79400640, 89344972),List(45983215, 21294825),List(14895823, 41334975),List(90228465, 53929515),List(67080684, 58225553),List(33073302, 52758091),List(42406694, 19288097),List(21383822, 61757247),List(99248423, 89441540),List(78830655, 12845387),List(98539686, 31833278),List(9726051, 59857671),List(12505757, 67151576),List(40503075, 87054220),List(12852039, 86625205),List(74650525, 80811941),List(5157270, 68492702),List(32039831, 29312659),List(82764849, 91154700),List(88415952, 75090787),List(81624717, 87708980),List(98369915, 13243581),List(10927596, 30030524),List(9544124, 5835830),List(38212558, 30164748),List(89847250, 66296831),List(58925033, 49636177),List(8064213, 14203411),List(17519826, 20890649),List(37419677, 84291943),List(1597540, 41184604),List(85807680, 36402388),List(15334035, 98447372),List(32985733, 55282778),List(69048505, 49045167),List(74606256, 41549994),List(50499710, 17324403),List(43945254, 57498887),List(45839573, 6413371),List(29960917, 41116834),List(75522548, 48614359),List(8424163, 35092425),List(82902452, 78323201),List(26925230, 97923438),List(53863902, 46046685),List(62762901, 97972960),List(54944525, 59224707),List(9430468, 67282349),List(16355835, 96836704),List(69446562, 36739575),List(7505613, 30440553),List(34596724, 31263163),List(81040124, 45496040),List(72768427, 72874152),List(7931532, 96697064),List(45613738, 80050844),List(64271051, 29111839),List(87319226, 7722297),List(33889781, 5500354),List(70475360, 11773193),List(96132400, 72865641),List(8874014, 70190319),List(73956408, 57877398),List(89009244, 11153392),List(53441884, 8504725),List(65872630, 70268633),List(61499709, 49641069),List(35232824, 78438268),List(99754851, 43987733),List(66809592, 35729672),List(14380719, 32057852),List(53050946, 33780686),List(32268753, 18335212),List(75184568, 4275472),List(86159040, 35771886),List(81516393, 19323286),List(72205555, 12760388),List(328335, 47331689),List(10512909, 23870479),List(16230233, 8365743),List(88944722, 36484138),List(3280944, 20828017),List(54970141, 30731655),List(15615300, 24489041),List(46929519, 3016098),List(59306500, 73024671),List(58844455, 32030253),List(84562753, 44765639),List(40482487, 92921744),List(8209866, 60717487),List(19626346, 94286130),List(40763234, 74725458),List(42623146, 84975714),List(56197394, 6067447),List(10775829, 32291644),List(52105697, 18351384),List(97063237, 75410216),List(13639984, 96569727),List(57690789, 43880917),List(81367004, 4603519),List(12233820, 37808869),List(20610700, 8353567),List(86718634, 38260951),List(68896489, 41230456),List(86920318, 8646567),List(45665469, 54510413),List(27962386, 60090901),List(54563685, 25725559),List(9409551, 6548088),List(85470420, 13934483),List(71076841, 21450267),List(16286542, 76079884),List(54320353, 89188832),List(48316486, 55744766),List(97754425, 70889342),List(89387977, 63417923),List(68818462, 58450278),List(11953218, 324017),List(87801870, 33690788),List(13592749, 73784323),List(48624912, 361314),List(54125854, 20542405),List(297154, 21366757),List(15607739, 32339828),List(52420254, 39276600),List(32855718, 90258847),List(20912611, 28289513),List(75914877, 79653768),List(62965808, 13952024),List(99292907, 86764069),List(29795872, 40218769),List(29973492, 61854066),List(32150631, 21392199),List(78640963, 88533223),List(98281169, 33273371),List(73996358, 69700307),List(26567463, 79320091),List(15279166, 63534947),List(4721098, 16742101),List(48855664, 84059946),List(23885578, 33293874),List(51778421, 34152263),List(39281686, 33873551),List(91348793, 89384474),List(42488052, 11549560),List(45632075, 99105051),List(3077035, 21813918),List(28902520, 39813099),List(63319481, 84253343),List(30360893, 5508010),List(43754777, 78927246),List(65843690, 2501470),List(73948314, 24185780),List(89357011, 9404598),List(9566021, 20195149),List(75298746, 70048214),List(84006116, 33721044),List(92450569, 31462393),List(8156282, 49745860),List(9088715, 60014575),List(78710945, 27418234),List(57145518, 32811274),List(91844802, 70775203),List(65112492, 30347508),List(76225904, 78653501),List(87206539, 55163715),List(82692845, 51969403),List(69677151, 30651678),List(4892148, 41724338),List(4404163, 77109431),List(44136581, 88551973),List(95110472, 89064971),List(47318070, 69111592),List(42618275, 42912684),List(1069908, 92359403),List(68411723, 89546683),List(52082969, 22219812),List(1312330, 67875078),List(54240073, 29735799),List(88243013, 39265248),List(3476650, 24039270),List(65740335, 30710104),List(3920123, 93983900),List(48661701, 42428977),List(65782101, 8975455),List(39025252, 51685160),List(95000173, 12072102),List(95218541, 13607304),List(45365159, 55580975),List(80672054, 23811046),List(88705444, 6667120),List(63294946, 21682030),List(7336516, 34280697),List(47564096, 64863326),List(56110237, 95357834),List(87304295, 28980389),List(79311172, 69666626),List(96564992, 17400347),List(20216294, 14260868),List(66032696, 51535660),List(10607847, 90690516),List(7471360, 3277473),List(23715340, 11491198),List(70608753, 38804065),List(76383472, 70349729),List(83043838, 69218556),List(63928715, 67144379),List(49505358, 8010729),List(98248880, 26081744),List(90745844, 8544676),List(77013290, 255528),List(22735614, 66303164),List(94705733, 21926903),List(8151753, 71218944),List(82973998, 20477343),List(92724360, 4887995),List(37936352, 13450133),List(93329441, 49733269),List(437118, 80956200),List(21795981, 82522053),List(73934700, 44503794),List(65755398, 8425882),List(25465686, 73946142),List(14746764, 47452280),List(414878, 86115245),List(87778220, 17208218),List(35401296, 37053795),List(66759780, 84828237),List(37905403, 34907632),List(85465883, 60429523),List(14668250, 31081989),List(63675452, 53585849),List(39931841, 71429647),List(17255850, 39586962),List(65991138, 37858586),List(30224214, 31064402),List(20884209, 66169427),List(68351978, 97482538),List(53764542, 37899619),List(78404762, 73308761),List(35566476, 64795392),List(78622578, 35718613),List(21488991, 18137434),List(36778150, 5849448),List(25668730, 68745366),List(88580399, 48230760),List(94425533, 19552173),List(26137525, 80475198),List(11477489, 21776752),List(62732021, 70324432),List(36329667, 55588397),List(4417933, 89179266),List(9201407, 90512137),List(72193806, 56261163),List(33251944, 10058297),List(95238544, 82728244),List(63829334, 24017456),List(10112493, 19546744),List(31130558, 38896712),List(39155169, 28424674),List(12196098, 56810478),List(45240403, 38024463),List(43087257, 50430070),List(23132606, 55323619),List(19657301, 94893072),List(42232847, 76344179),List(10256775, 34855360),List(64211164, 39721621),List(48424156, 15094855),List(59659053, 355418),List(60105915, 14897328),List(40923985, 71453196),List(64735584, 99749245),List(56808111, 66078368),List(17946095, 92834641),List(70254137, 46758243),List(95035242, 32797883),List(14994436, 40065583),List(13737370, 10410293),List(80640207, 1010199),List(25447820, 69762866),List(94191360, 70993433),List(30242466, 47043768),List(37885700, 75580523),List(42499698, 70403507),List(97462940, 3402295),List(64508094, 50807549),List(84454659, 81052575),List(12401713, 75392621),List(4400150, 4887945),List(72965937, 90776988),List(52390538, 12092501),List(58160059, 60709337),List(99057494, 20599831),List(870568, 86697837),List(11394847, 67052534),List(33601280, 80968069),List(25828974, 86848693),List(37688164, 47216982),List(60876142, 68834219),List(56045012, 34345996),List(28293747, 76028246),List(99191580, 13043348),List(78914597, 432253),List(16608834, 75665429),List(93698817, 64128052),List(25118486, 23351517),List(46603562, 69908356),List(73678701, 80576612),List(33762115, 48352526),List(41573715, 15715445),List(19310867, 73931654),List(60553725, 29106402),List(65186769, 40237301),List(26996078, 14997711),List(10570459, 96768684),List(30364639, 78258515),List(1356558, 38295862),List(61053038, 1292135),List(67618065, 64956158),List(20945604, 21223110),List(21827568, 84513652),List(65638120, 71761181),List(82769703, 86596198),List(71591635, 78139244),List(90553373, 4196202),List(3376735, 53544396),List(39132001, 63123050),List(69995913, 6328917),List(48160213, 74867658),List(19595802, 12483970),List(87679551, 78209637),List(62970006, 87283780),List(95654365, 29273970),List(37993947, 14795436),List(79218564, 72265262),List(1442411, 50805803),List(34618724, 35964248),List(28868383, 25317320),List(29341970, 4994530),List(39775210, 36727740),List(66182283, 69168647),List(71932410, 93885945),List(32329960, 9734077),List(45236268, 25993670),List(57340668, 61529003),List(94214998, 3721594),List(67346448, 65342650),List(15306222, 54637612),List(25697994, 22950752),List(87430128, 16821539),List(20822610, 14436833),List(10379548, 36456643),List(57307674, 90441663),List(88844179, 24357412),List(26765824, 18876636),List(34747016, 22200617),List(54213115, 96977476),List(95926684, 68454115),List(6961950, 48162334),List(91012174, 34298033),List(61196938, 51987369),List(30682733, 64145938),List(14032986, 26636691),List(96509131, 20646128),List(20885732, 67433185),List(70674188, 30916460),List(61593644, 45995191),List(96397126, 86287801),List(57286313, 98100779),List(82976281, 8340606),List(65292712, 73266922),List(55373509, 62360899),List(23188821, 43144996),List(54820334, 74769659),List(79758315, 31112035),List(89481588, 58621572),List(39003539, 88485382),List(65102242, 70905529),List(57897367, 32887563),List(95796760, 71024222),List(40215245, 32341022),List(55274348, 36732417),List(52864726, 15884270),List(14721593, 65207632),List(34552343, 78801364),List(8671082, 48998186),List(90912998, 3216789),List(75548022, 485220),List(5824339, 70682630),List(14278976, 88146787),List(70480092, 69506370),List(21358206, 98979137),List(35954176, 59847739),List(83033526, 57331877),List(41253833, 68153947),List(30050930, 30067831),List(89897852, 77913822),List(13264349, 1246011),List(96447313, 19260933),List(79813108, 8240832),List(33704898, 73682708),List(19573993, 67909554),List(17572255, 55212948),List(49230177, 39008064),List(67157889, 98662988),List(3822073, 23385023),List(95156415, 761089),List(34716590, 54074673),List(31780649, 13627586),List(56754680, 5025051),List(87687062, 96375987),List(28850885, 88230101),List(18767770, 92157289),List(85637309, 52061627),List(16703415, 76451108),List(32823909, 81458828),List(78501625, 33680578),List(81956968, 23386841),List(19845822, 61107197),List(81670757, 40319992),List(71754417, 99522750),List(41835147, 34886717),List(16500325, 44185058),List(66339309, 95263633),List(16491252, 45162921),List(7024066, 64408591),List(30968009, 67987287),List(91604342, 16160137),List(63559487, 55077591),List(16280106, 57699096),List(21610870, 36325609),List(37658127, 84349785),List(11528409, 68277430),List(56418983, 26207734),List(29622424, 89594861),List(78546128, 99032917),List(29117005, 72839528),List(48283650, 35471638),List(74905077, 87611776),List(63562283, 6985463),List(24931212, 80055230),List(89458613, 193625),List(21742597, 69429548),List(50709509, 47500004),List(31480119, 8463788),List(870745, 34565216),List(99454262, 69089784),List(96782848, 40177002),List(83040738, 16050058),List(95677644, 4192458),List(23792106, 27249936),List(92628822, 66998337),List(40120929, 40821247),List(34525016, 15043503),List(64254054, 97302251),List(24162989, 90753198),List(83975380, 45099398),List(77991995, 67503581),List(68976239, 71812977),List(40370299, 53788616),List(50520784, 80668612),List(36648615, 70755133),List(37256504, 17106958),List(14586515, 14313701),List(46158327, 57832833),List(33024040, 30089948),List(57721579, 10995740),List(51676066, 33692768),List(36908813, 76157061),List(39481018, 29386424),List(43834822, 18820156),List(50914161, 96658634),List(59223980, 90263218),List(87296018, 83163069),List(51446272, 6654514),List(61756670, 49564592),List(70633334, 51182538),List(71378869, 88493049),List(83228326, 70785340),List(42243737, 54514022),List(4591836, 58288657),List(14591133, 16937437),List(25612137, 47062977),List(5090327, 11958443),List(87559446, 69293795),List(20885714, 44914814),List(89674058, 81627029),List(37076455, 66524494),List(23812828, 53985188),List(70929392, 25974123),List(48302150, 37489397),List(93274888, 45734261),List(88289353, 60807880),List(35748953, 78623922),List(76167998, 1838550),List(33200800, 14447971),List(96254334, 45260815),List(33940598, 62806513),List(74861197, 50985979),List(28403318, 15186263),List(37895263, 42874245),List(68955604, 61691331),List(79302680, 66955987),List(72010197, 34115348),List(61641497, 25042753),List(95467283, 47343219),List(61212227, 89882746),List(87206870, 13450368),List(12568944, 70411374),List(62292434, 11291386),List(89620559, 16272872),List(15136364, 77557975),List(25952615, 54512605),List(74473043, 42991390),List(36335513, 42930639),List(88911660, 50800028),List(26718935, 77322721),List(39186175, 10088305),List(77656807, 75764284),List(56847059, 48899895),List(18179111, 9973090),List(18578684, 90554010),List(98793724, 52059995),List(18565354, 225437),List(2187973, 57124615),List(38030291, 87658939),List(21238249, 17119819),List(47171192, 9824659),List(40587251, 12695804),List(41033678, 83080288),List(84122932, 55218775),List(84387725, 64719590),List(38760846, 12081344),List(6421476, 63701032),List(73373342, 52521413),List(5452656, 21124523),List(61844312, 56835177),List(98209754, 41304818),List(29701719, 6786952),List(86304709, 53304194),List(93031880, 97702515),List(76309951, 9012607),List(49371355, 47449286),List(23161137, 75837921),List(60018570, 38733177),List(30559916, 52324356),List(50194461, 75418303),List(76076802, 27196742),List(13660838, 73314472),List(94362145, 2409496),List(77493633, 42116970),List(69422729, 39898315),List(93525584, 74019603),List(73268187, 51011040),List(34942922, 86881994),List(69194806, 81120570),List(9791462, 92816309),List(54323490, 58864325),List(44899523, 26724631),List(55510992, 34677160),List(15613811, 95025660),List(85885940, 13790048),List(48766319, 28276700),List(25637125, 1605997),List(81456742, 46989543),List(43364773, 29916955),List(35376980, 21509511),List(85932535, 26804956),List(24696406, 13410466),List(26324147, 62500654),List(68280849, 204972),List(50095265, 30840994),List(24455796, 54110605),List(29866525, 56462256),List(70952669, 12543609),List(8873145, 2604500),List(3677567, 55117277),List(24084211, 93192575),List(40383843, 83859119),List(6258754, 33667150),List(46329724, 45526964),List(95604595, 31823723),List(99147610, 57946628),List(26668892, 60610249),List(27046810, 88456105),List(59869175, 77602781),List(47648908, 68693562),List(36521795, 50798665),List(32386742, 36595413),List(12145577, 54752468),List(89029968, 45749406),List(65640201, 79264550),List(17377932, 13893048),List(69356697, 34569892),List(10487113, 36513384),List(85447498, 2779166),List(57210230, 21528717),List(67923004, 60291851),List(71977282, 72504839),List(83142941, 74421103),List(2158251, 20776179),List(19102675, 45343045),List(79110982, 79533012),List(63030684, 71500603),List(71976987, 62876730),List(43272845, 48259591),List(95145013, 464472),List(23398341, 23219443),List(14186228, 52138217),List(48040068, 23041664),List(5252506, 35999247),List(75759079, 29951641),List(49916581, 22431101),List(59496781, 75703248),List(21397482, 14747441),List(36520348, 98483999),List(29744283, 4765942),List(98831808, 26988912),List(13449013, 1595083),List(8136802, 68390571),List(10094866, 85416692),List(42066708, 38167084),List(89176646, 90453167),List(30820768, 81271265),List(1731611, 73916236),List(651323, 21980691),List(25844673, 44343424),List(23195464, 70281980),List(41905730, 97645750),List(76846086, 5768559),List(51719763, 56085093),List(99949726, 73703489),List(72814225, 6514453),List(45413488, 42565101),List(7590587, 61872882),List(2016512, 25887568),List(88801034, 27606259),List(26282282, 17090347),List(27622945, 67684652),List(12105690, 11734454),List(89337184, 36690707),List(48072058, 62956954),List(72796961, 97599278),List(18917079, 26942441),List(87543453, 67007965),List(27635494, 23288518),List(65317844, 62614289),List(74929066, 38394384),List(93168820, 720905),List(19731049, 75663497),List(84958940, 86434594),List(9708790, 6613525),List(61149459, 48981169),List(9383803, 19815662),List(76355556, 96973338),List(65297018, 61115496),List(19769765, 72514266),List(33584612, 14427565),List(89449407, 74445585),List(78553423, 86117828),List(66370068, 24515477),List(762908, 42334117),List(31077563, 48892980),List(89434646, 9275190),List(16739187, 56562730),List(31980510, 99422891),List(2569161, 73443500),List(83445014, 33304243),List(60211780, 3486222),List(16799766, 34916164),List(3550446, 81395810),List(31009561, 23854233),List(84417550, 88975539),List(897752, 75152880),List(39385623, 70053174),List(80768940, 31784746),List(64567972, 76580602),List(58018173, 94660552),List(22751957, 83055432),List(93067459, 88829376),List(31849534, 46176021),List(89161951, 54101458),List(53104753, 64983825),List(70849567, 33794130),List(74510217, 48915850),List(61931479, 76950621),List(45382473, 48299262),List(89244148, 9475279),List(57861581, 94981123),List(54217885, 19950597),List(53340011, 20464109),List(20240470, 28937187),List(3403875, 19410054),List(7744260, 1629050),List(63985244, 75098998),List(25087167, 7457058),List(61448426, 31298848),List(84368169, 328188),List(61376398, 12108067),List(29862883, 24502383),List(23586081, 84940553),List(57693270, 58095523),List(77948645, 72512409),List(56675038, 1149324),List(62603842, 51638943),List(10307511, 50513566),List(97812727, 70284969),List(27827378, 90975082),List(51306536, 3683074),List(57599942, 3287019),List(10021164, 2815570),List(17553488, 92103453),List(61460594, 90765479),List(11353775, 50348138),List(43730107, 2846991),List(89712016, 11043783),List(63513475, 70842625),List(72740155, 36747394),List(41842672, 14863035),List(33188248, 62282531),List(37559900, 4214595),List(29171937, 56705556),List(37296123, 58484717),List(28403700, 97849430),List(85157480, 36570385),List(30663018, 83973969),List(38648065, 47500310),List(48612292, 80050467),List(80876707, 15758539),List(21393062, 91914050),List(45842980, 54027569),List(91763837, 27315817),List(68414087, 25512890),List(23145722, 46883391),List(43615987, 47834433),List(62497418, 4486379),List(86917868, 84145768),List(75761856, 30648443),List(66503641, 32982463),List(88543101, 18626729),List(97971731, 15658501),List(57223193, 14951500),List(64593077, 30228963),List(41670714, 77542222),List(63330427, 85709729),List(98539362, 21944391),List(60509695, 54914657),List(21180353, 38121967),List(8639151, 64070322),List(54202525, 56855254),List(84530092, 98628856),List(5042174, 8049457),List(88196427, 67407659),List(8822875, 19131430),List(20545660, 55937713),List(58805522, 18170094),List(68349055, 71067609),List(52088178, 71689034),List(91756598, 31283018),List(38163783, 13816183),List(65812914, 60282414),List(49124120, 97067861),List(73805608, 47260614),List(51762372, 30883849),List(56868937, 84958212),List(6850322, 26497438),List(58076932, 92357611),List(88076765, 78610618),List(98522744, 34746750),List(4492796, 57573616),List(70345983, 20938198),List(25510965, 8260633),List(36654871, 6860231),List(24167713, 20614666),List(8965071, 60421998),List(67251552, 55087803),List(55241327, 15130324),List(13756544, 90454341),List(12180016, 72515277),List(41243549, 4837903),List(85685852, 19514153),List(72518089, 39213852),List(62815071, 20826221),List(55334496, 94850561),List(71644443, 88819529),List(14878666, 20701145),List(96036932, 89674657),List(31313196, 15128609),List(10018394, 90473310),List(41765783, 1156497),List(6034923, 34155130),List(78854147, 2562708),List(23171323, 65143382),List(19930379, 88758619),List(1765231, 13240943),List(47035405, 29569398),List(559085, 86254381),List(23604837, 36202388),List(97655645, 38596789),List(74785867, 15442245),List(19772954, 71292916),List(21065431, 55953085),List(24806658, 41670362),List(54372316, 94480286),List(61540963, 31388930),List(86043247, 76428644),List(59789118, 46715099),List(93697585, 45305761),List(44841922, 6145755),List(6764916, 92533929),List(13738404, 93035868),List(39606474, 69294794),List(66446880, 25919634),List(57270244, 43666102),List(72512980, 77987727),List(82913161, 75726588),List(12191265, 2174210),List(95282151, 83106773),List(73715027, 76338788),List(60889123, 35476445),List(41222951, 97828839),List(39517094, 58137165),List(61703058, 13732948),List(76018785, 43193446),List(34778932, 66418394),List(80822903, 78050320),List(65222946, 79541189),List(25444504, 25683144),List(50240662, 27886453),List(44038622, 87681665),List(57683870, 23591004),List(62399800, 81972098),List(77941453, 2212438),List(85907870, 51192540),List(37522205, 26365515),List(80779049, 60549794),List(42283564, 617379),List(60606833, 2266683),List(63522392, 50350520),List(18745107, 787184),List(66247297, 93221413),List(97154330, 85785291),List(47444453, 9208736),List(52685397, 3336386),List(66016056, 36015021),List(68495407, 15524140),List(88481716, 72228609),List(69709011, 98752541),List(57782043, 76505777),List(3163837, 73701771),List(94514783, 2916679),List(68254058, 94350920),List(22561794, 34455324),List(80712706, 50259633),List(19741582, 92159668),List(90270357, 89363606),List(89609834, 64644799),List(56793799, 84585899),List(90263814, 77197858),List(94112684, 78067236),List(92860048, 37839226),List(19159379, 85435951),List(80926033, 16953273),List(6534880, 37363242),List(70160127, 12788412),List(30802639, 91523934),List(45930692, 56169937),List(97623356, 80483649),List(85148018, 32882000),List(52026960, 57022304),List(22900158, 22456169),List(65255891, 55363089),List(18886324, 50949435),List(63287085, 72036492),List(51473917, 70265385),List(10547958, 97168026),List(61643262, 51404812),List(58604804, 56220622),List(20951253, 24478078),List(52258568, 37104277),List(30252921, 78617844),List(45265812, 46316896),List(44416019, 11063400),List(89950144, 27194116),List(11669653, 37286338),List(72432837, 821842),List(42087800, 31332370),List(53863212, 12666862),List(68813927, 34677271),List(65156316, 10894900),List(65623044, 50302875),List(92162731, 35949460),List(30035196, 10134771),List(9663942, 59087377),List(97088007, 5732082),List(31698621, 74449144),List(13514858, 27631476),List(2096680, 70990466),List(62444119, 25654145),List(94733342, 65781327),List(13937295, 17404545),List(94180113, 57161393),List(76615825, 30282469),List(67798781, 24728815),List(68946581, 20003160),List(59483792, 77515453),List(76461273, 92098755),List(81425079, 86934136),List(34342403, 84748261),List(76315862, 26505935),List(84819973, 52550108),List(18089698, 41465310),List(4126750, 80471414),List(62461267, 37663345),List(97483022, 65608274),List(90271706, 73447093),List(57948032, 70242403),List(19998943, 82695691),List(23693580, 68692670),List(60936338, 47776497),List(4918563, 78307668),List(78248002, 69151966),List(75173359, 64555974),List(99900283, 72036455),List(94534067, 36938607),List(13440100, 65383569),List(48219907, 77208624),List(65063713, 72121887),List(21511259, 87255798),List(24251153, 19949150),List(68949977, 83774878),List(85020796, 17124567),List(88484255, 1000247),List(17264770, 28217943),List(21748797, 99462920),List(87313772, 91466069),List(93938740, 39832613),List(56621333, 45101757),List(18324185, 82373026),List(50752091, 46868562),List(18822452, 16423314),List(18671367, 8635038),List(10167603, 49759827),List(36707715, 50862362),List(83865223, 52206834),List(47582863, 42532095),List(79426096, 29502848),List(42499904, 7711892),List(81754698, 86663511),List(88729849, 37241710),List(57975536, 94381965),List(47547865, 71749790),List(64047957, 62976705),List(40294646, 40292978),List(29403860, 55381295),List(74894553, 70257537),List(84513099, 16098572),List(88064997, 73074970),List(73056239, 61014440),List(41394244, 93821473),List(6284663, 1151477),List(11584370, 891885),List(11073338, 29117486),List(47465387, 26708694),List(941681, 39514538),List(50922349, 9002255),List(26016649, 70959411),List(19764743, 95081555),List(22705269, 38681929),List(73223648, 50511926),List(61484980, 69378522),List(145785, 58992982),List(57026076, 16582633),List(49934678, 18631289),List(49133327, 90872482),List(56109456, 55322052),List(78164699, 66105769),List(6739429, 48071749),List(80365756, 15510328),List(38191061, 71928957),List(7962781, 79866462),List(62846252, 34441716),List(82239387, 12768916),List(77412342, 23688282),List(18972316, 95024612),List(163771, 53342408),List(61114255, 37894935),List(57893158, 84810092),List(23184927, 22941999),List(60236651, 52155457),List(7248345, 185588),List(61249268, 23171598),List(35739172, 28347470),List(14500442, 59388317),List(82043692, 19710112),List(76830733, 29962699),List(35060073, 27032318),List(98206365, 91021867),List(99655283, 3379460),List(63816028, 20372834),List(77351665, 78464920),List(4407664, 60512407),List(21778501, 51599921),List(48575559, 71879118),List(2071148, 95796352),List(9406642, 36649464),List(35578049, 78734217),List(49078569, 34351430),List(37635060, 85364410),List(99961274, 81445774),List(19661746, 91878446),List(89537431, 69545530),List(81069647, 56589593),List(99626528, 76184942),List(23601215, 68356561),List(79724245, 5157369),List(56365451, 5562679),List(7837020, 56319769),List(61474626, 68862844),List(54735608, 24758832),List(58530307, 8192950),List(12578668, 57659173),List(1975839, 1876144),List(13750496, 50238331),List(76450740, 90228640),List(4787839, 1212558),List(32414429, 98852045),List(81972293, 90694128),List(74533899, 60929538),List(79383727, 285042),List(18839182, 53113865),List(33867968, 9739657),List(22801588, 7177317),List(2362385, 93291594),List(17861288, 12324707),List(39999724, 77406575),List(95323125, 91775183),List(68886897, 94994233),List(18466794, 94469472),List(77751897, 12110700),List(51079568, 43740193),List(92151737, 12962591),List(23102869, 85436355),List(15173925, 13319740),List(45140833, 69965150),List(17217102, 39273708),List(86861312, 8980751),List(61218101, 86655699),List(84158286, 62672760),List(62627761, 80597374),List(28470500, 55121477),List(6858436, 96893142),List(3194132, 39513662),List(65312200, 7532442),List(48232807, 50874753),List(8274911, 95119275),List(92315027, 51937038),List(25196536, 50999667),List(851927, 7280177),List(50096361, 44982677),List(35626130, 10576852),List(82616751, 44010105),List(91817985, 93885143),List(14300706, 47414975),List(42675073, 67953894),List(97398973, 56621990),List(89195439, 42457739),List(15589042, 572299),List(6769150, 73615479),List(55510903, 85441514),List(51693406, 30226690),List(23745613, 39420236),List(44170513, 26169652),List(84300645, 17327840),List(93797867, 83126555),List(81465495, 32833569),List(10790876, 10810642),List(87514227, 46964349),List(64633769, 16958897),List(12894909, 88241252),List(31032006, 54176134),List(11044154, 73803288),List(83154770, 83928809),List(51565230, 89119179),List(26557617, 93410817),List(12602193, 57371558),List(86201787, 71569222),List(28341566, 93614624),List(77137062, 77196390),List(39762373, 95183546),List(5426213, 81075645),List(91495548, 71231298),List(89020933, 94519220),List(47503044, 79338290),List(97217734, 82210006),List(73070481, 54009323),List(52326618, 49664150),List(39689700, 9373261),List(14352000, 56417483),List(83988603, 94126777),List(74127107, 74216484),List(21575937, 30677319),List(17976543, 24063462),List(74114043, 43150888),List(13516198, 5555954),List(37588813, 68347622),List(79715812, 92155241),List(15803124, 48925925),List(40881836, 40143652),List(88168402, 71469585),List(240095, 26374186),List(9397640, 59508270),List(80803697, 39078886),List(15286472, 36493578),List(31768232, 21393378),List(90528275, 36165105),List(91078246, 26004833),List(26083990, 48468025),List(18501186, 41595595),List(64594877, 71994407),List(43527344, 59358453),List(23123028, 85507739),List(74793310, 77888933),List(64653716, 45715299),List(5049964, 25381680),List(72137190, 75607247),List(85184547, 14434310),List(80289603, 67008557),List(23211777, 24475330),List(77791838, 5963213),List(61113431, 602371),List(88612666, 74245454),List(73757095, 3399692),List(78723167, 14467172),List(42988007, 35301106),List(82493019, 90146286),List(42912661, 28497956),List(97730546, 13191299),List(26520361, 2266439),List(28229808, 13747652),List(45593266, 50828400),List(57702071, 36017448),List(90014601, 81593482),List(88527314, 2051947),List(14151555, 41028788),List(55437492, 4307186),List(24660705, 59559410),List(78339766, 13620038),List(30485198, 77381169),List(4361924, 61652550),List(57739660, 99112605),List(70196257, 58131501),List(73999929, 99098362),List(63445153, 30326703),List(54166899, 44562931),List(95961556, 40282794),List(5142748, 21808499),List(57080789, 16311354),List(70443419, 90374716),List(32043160, 26401176),List(35433889, 50549784),List(91983407, 56274770),List(26672917, 38605341),List(23882795, 14667883),List(48269549, 59561162),List(89845828, 57404554),List(61558613, 28121500),List(10128122, 53599472),List(79387313, 14921220),List(35081901, 76966631),List(77248193, 6211525),List(27489864, 69955613),List(69992117, 7589212),List(43288172, 33585756),List(24080290, 30366100),List(92672592, 44883912),List(89816071, 32013954),List(79208078, 5897107),List(62655221, 5976),List(51497961, 94078885),List(47499841, 95286793),List(2258404, 88864363),List(46799414, 9119026),List(76792048, 56200487),List(55752060, 96033654),List(2324766, 40980379),List(82155200, 90843983),List(51371587, 45948622),List(60715201, 79615898),List(2611532, 32248151),List(2619252, 79128081),List(29557495, 55091374),List(95194561, 1423669),List(75662464, 6403545),List(89289671, 91570048),List(732398, 86202794),List(2275400, 58338063),List(10845401, 9544553),List(49287466, 28559747),List(31843484, 70743938),List(99061450, 46729876),List(20268232, 60584648),List(61905378, 32129818),List(31065480, 13330376),List(80015237, 88064451),List(63452840, 91624623),List(34086370, 54572693),List(27078378, 81226649),List(66310652, 29177178),List(10532576, 48552547),List(36472037, 91324372),List(50718646, 89667906),List(14443993, 8048733),List(32061648, 72949029),List(98179049, 12988127),List(32858496, 55873294),List(67681274, 67517502),List(47836205, 38962793),List(52811828, 74413074),List(20920161, 49380755),List(80081699, 52728035),List(30630607, 72650605),List(41164348, 14471599),List(32664559, 66715407),List(60490407, 67594481),List(59397761, 70948310),List(15360681, 62132282),List(13007497, 95187117),List(21760445, 32622790),List(89463797, 97374084),List(2250772, 67846581),List(53802652, 43739092),List(74666540, 46422600),List(19484379, 58711633),List(86654293, 21922305),List(61578932, 43863316),List(84281021, 72652967),List(40009126, 54649910),List(72384973, 28705931),List(1056978, 57258016),List(88365486, 9961968),List(487863, 5509627),List(10524875, 22277736),List(11147560, 8084623),List(50004990, 28844007),List(94419744, 50639478),List(43955939, 19702718),List(2461079, 43174196),List(2162708, 73094452),List(86949408, 93234091),List(2694304, 54183775),List(13183886, 41296754),List(4506844, 9528093),List(84651986, 70099325),List(17055224, 18541547),List(9074163, 60730903),List(89048157, 98445969),List(2128690, 58912045),List(73045095, 15591962),List(22037218, 77877762),List(95592889, 81424852),List(19372518, 49672006),List(57573288, 83549122),List(33542812, 43110391),List(60666476, 40219782),List(89710942, 74126678),List(72935053, 46431568),List(82163439, 60776339),List(60707349, 26532910),List(99296598, 37107888),List(53441029, 79736873),List(74483710, 28652903),List(46005326, 61004053),List(69271200, 11956181),List(31213529, 89695967),List(89402121, 98999695),List(54955622, 79722255),List(29136378, 98333618),List(72677840, 88427050),List(9381713, 80361801),List(30114316, 13184285),List(28373308, 38816481),List(39130815, 7489034),List(39665541, 35531388),List(46215585, 41034310),List(86264830, 80028154),List(92371358, 29257094),List(29434848, 67244062),List(36881214, 44808974),List(7153477, 43031429),List(82863907, 73182718),List(21975797, 21495525),List(51331899, 25877167),List(99271110, 17129781),List(65926492, 73504261),List(32031900, 72637529),List(32635071, 58681277),List(33106866, 4441954),List(72911287, 87094246),List(91798508, 39781796),List(38099917, 66216905),List(19255010, 15454313),List(42355364, 14525279),List(5039073, 84814832),List(20028101, 52876440),List(99481326, 78825514),List(44896261, 36415269),List(12384690, 42824506),List(21011938, 97117222),List(30701320, 19272275),List(88262869, 79474641),List(70915787, 4713541),List(21631699, 92926983),List(3361186, 37179582),List(45154468, 94166139),List(25722224, 73245015),List(55688252, 93696091),List(50229136, 98568065),List(93773222, 46072091),List(41285492, 52736981),List(32606449, 73019552),List(22389743, 21090900),List(82692847, 19636069),List(11940911, 44378322),List(9259397, 98358039),List(26830847, 31173874),List(30073766, 77041902),List(34307139, 97079054),List(96170701, 5539646),List(58164942, 47856438),List(80679654, 44868847),List(17867106, 20576588),List(64555654, 99793883),List(35427667, 19091225),List(23059369, 15093602),List(79028968, 13842069),List(87249182, 33055307),List(96050251, 41948225),List(25647505, 14733616),List(59424898, 78720024),List(97734429, 79888006),List(49269915, 19638562),List(92825624, 46901502),List(40854938, 34360961),List(6047519, 45779447),List(19253004, 80561010),List(23422277, 94888707),List(89847058, 35104754),List(31598541, 93075579),List(13923906, 32803137),List(95401468, 30498737),List(84026640, 39832),List(89366329, 57718884),List(31719095, 85053635),List(31095331, 90362756),List(11986621, 59731351),List(28695771, 11268333),List(69148317, 10104395),List(28304260, 42965704),List(45070675, 60391575),List(40851405, 80554297),List(36630483, 54142767),List(26727418, 1989950),List(71858477, 66272772),List(51410206, 38150809),List(7894022, 97760497),List(37449379, 70770093),List(19111453, 1331581),List(30470513, 58707047),List(1128638, 75714400),List(63519200, 8192932),List(72189767, 99866049),List(53710974, 59502424),List(17065556, 28723521),List(57232668, 79464086),List(42311753, 81830379),List(45035180, 30537183),List(97855129, 75485255),List(70579608, 12816689),List(11993045, 63373137),List(94044007, 96357596),List(44760954, 31957492),List(23338006, 74399288),List(40742176, 42956072),List(3668324, 44103378),List(89459383, 93488733),List(83494827, 41166473),List(44435336, 17115854),List(75095653, 62817785),List(38115901, 47306195),List(35580823, 93631239),List(31817072, 35301137),List(43331192, 85840498),List(87743403, 82549611),List(76553348, 22827107),List(68236229, 77343800),List(41616824, 46633774),List(23902798, 28491711),List(86570170, 99254013),List(93586800, 79065938),List(98420202, 28508561),List(52183243, 25495215),List(27392416, 8213173),List(93421320, 85815989),List(73445259, 97652665),List(3154473, 78982251),List(60660462, 52595232),List(1416550, 49015562),List(73022338, 57238360),List(15434938, 32618992),List(81534901, 2962621),List(22981285, 34597276),List(44576888, 54208883),List(58619219, 55083650),List(42868189, 60663516),List(22575119, 77836840),List(61548129, 92670014),List(56021544, 7432734),List(97402902, 89160132),List(64857915, 42489858),List(23838335, 17787212),List(7922236, 69189669),List(47103121, 52005777),List(41758563, 75363111),List(62481678, 46169143),List(3220386, 63565043),List(21131766, 78218611),List(21930786, 26766787),List(59512175, 79715688),List(66449844, 83526725),List(1071105, 74945781),List(38196304, 79657384),List(68460578, 95750974),List(65888320, 4406336),List(44292469, 95533900),List(46214636, 86046945),List(79535664, 29697415),List(93581173, 95138509),List(4203717, 10246292),List(3024204, 53757204),List(62935409, 49488063),List(58350787, 67748857),List(42954136, 64424787),List(21426994, 59510877),List(39245185, 7793835),List(95006784, 43597812),List(90429439, 28772031),List(83801630, 34412122),List(77438202, 73081747),List(600432, 61567303),List(47986740, 47309237),List(6420611, 7239958),List(36543562, 11238244),List(85080557, 75186073),List(30468003, 4033401),List(83439013, 92763653),List(85981024, 13093859),List(46908726, 51644330),List(11992237, 92140589),List(96801980, 12374072),List(57841316, 51893077),List(69313313, 13999885),List(28934327, 81577497),List(47237051, 48924737),List(75424631, 23313651),List(84996735, 16530097),List(3952990, 49432582),List(71333627, 44198624),List(56977422, 7947896),List(72010856, 18432730),List(7193908, 91876978),List(86958791, 51586218),List(63819212, 54291926),List(62309177, 51636888),List(85340781, 42598168),List(72955493, 66234642),List(44058160, 40947641),List(78432248, 73907577),List(4013666, 57853719),List(19388923, 36153660),List(38483468, 96765221),List(66891657, 56737986),List(67308817, 53720269),List(67182100, 97427917),List(16601514, 22523684),List(51402645, 9842492),List(44061120, 36490784),List(96413476, 85871528),List(44619236, 6330191),List(84765766, 96004146),List(78799124, 68469921),List(3825183, 7213034),List(88336562, 45709256),List(91943214, 56053706),List(63930436, 75364220),List(1629997, 25178656),List(87725578, 57228057),List(93935680, 49221235),List(5624818, 32382110),List(38889317, 16526620),List(35145961, 40079156),List(27795426, 48540563),List(43929144, 73133822),List(68637396, 31672941),List(44846854, 43242350),List(8475627, 20093715),List(60514221, 45002406),List(94779113, 24438536),List(41451903, 66382499),List(4330819, 42361948),List(9414954, 63842143),List(40267037, 76209737),List(84416470, 72320882),List(44442433, 65186807),List(83434506, 4932322),List(90504447, 56669159),List(6815313, 64866667),List(27937449, 78291270),List(55825125, 53159228),List(98333601, 14154695),List(28496803, 4994644),List(95319872, 76481768),List(31256732, 87367454),List(64544664, 64410311),List(10633808, 92349891),List(24655138, 40033393),List(81865813, 96609482),List(87424475, 65055427),List(66427071, 87210030),List(81295130, 1429890),List(32782403, 73605973),List(5616891, 45694385),List(71725790, 95103327),List(26564598, 55111126),List(66580810, 6698976),List(27092829, 27098503),List(31671988, 17903536),List(41191114, 41738521),List(598907, 53230768),List(58091782, 71035461),List(9749754, 91415458),List(53779423, 77816150),List(27836113, 24843624),List(64983879, 89996651),List(93889396, 38857961),List(68503294, 29367306),List(56149585, 73264890),List(8885810, 94584536),List(91349062, 77577327),List(65577948, 39090221),List(81179008, 1500487),List(76504764, 24465),List(82299572, 50582345),List(46284613, 26974728),List(58149310, 79439818),List(75384593, 41872502),List(9172060, 22988895),List(66670099, 17877694),List(85188550, 33116661),List(73209934, 87336305),List(49147644, 31326724),List(28025119, 79697339),List(12949619, 65156336),List(40139762, 6262615),List(68344079, 39910236),List(65206109, 22282273),List(61480591, 6393962),List(86486904, 59220115),List(70426706, 11556343),List(4703591, 11993894),List(50043679, 43867101),List(92455343, 13899202),List(66923518, 5803601),List(98574236, 65122275),List(46181113, 77223765),List(16576212, 57620109),List(9854609, 85370386),List(17187604, 60107933),List(25060063, 10535931),List(16397899, 22296372),List(47627378, 52698625),List(82943226, 49985585),List(8950665, 25995092),List(89756476, 70052361),List(34545530, 56070577),List(50765314, 64962194),List(92119686, 79170505),List(92680523, 29004364),List(90463477, 42107451),List(43187664, 95884290),List(20704830, 54135033),List(33533908, 60499633),List(36453153, 35230547),List(80844103, 53655824),List(58762052, 76573576),List(19311137, 56071630),List(30558629, 94795808),List(59677068, 30170434),List(64151620, 77255233),List(2715359, 27366941),List(88922947, 48830292),List(76029919, 84082081),List(34863079, 8201841),List(16477788, 99335379),List(35287743, 336101),List(58959839, 7423827),List(85902835, 31133219),List(50295970, 20705831),List(79036867, 26911123),List(63295587, 40486366),List(90038896, 40150050),List(81492699, 11237867),List(89767274, 78260980),List(68800704, 50995506),List(8037462, 72512302),List(74443088, 93519099),List(74289207, 27918258),List(52153704, 6880501),List(85371058, 35798599),List(49221156, 5864367),List(76410626, 21454731),List(26321795, 97004791),List(43641753, 20516388),List(95125913, 35776816),List(89008488, 87984705),List(55530033, 28256057),List(11089729, 41436366),List(36644103, 78207961),List(96272279, 83726403),List(16147005, 447564),List(94410656, 24040866),List(65953205, 13681219),List(47727716, 30093816),List(45565604, 49850760),List(76653747, 13609068),List(58900618, 79457148),List(84008497, 79641415),List(3683695, 47720590),List(27703012, 28885328),List(82746516, 17371828),List(81620073, 97380593),List(34075974, 38946868),List(70568676, 17853708),List(63571724, 32209089),List(2005938, 71490091),List(23673520, 67122680),List(10229497, 23772913),List(94522618, 39301466),List(93354943, 30220491),List(16286709, 61395776),List(45749578, 58682153),List(73450866, 28818331),List(32231678, 69385592),List(75768834, 2963374),List(40250306, 69423340),List(20404611, 74088607),List(21950440, 61900294),List(23781487, 17651287),List(3226526, 8373833),List(63618818, 41766375),List(94019615, 453534),List(91245239, 2371275),List(56136633, 82833076),List(4965196, 9684522),List(15892983, 14114696),List(8684047, 18107871),List(53765031, 39867528),List(23549426, 95666563),List(67031055, 45215878),List(86210098, 28338482),List(96710602, 22704086),List(44932524, 71798535),List(82744251, 81362948),List(11249241, 59634829),List(67362883, 44136885),List(98086327, 50513776),List(6038228, 45828792),List(5793303, 75836769),List(84448910, 77908935),List(71461554, 21780167),List(52027874, 26275822),List(92241570, 72713398),List(36619404, 87395722),List(45415311, 28396642),List(76517239, 7112590),List(53807154, 47879438),List(7368141, 23681881),List(18702302, 25929615),List(69642125, 47536833),List(15065135, 89661455),List(48580236, 12095502),List(44294356, 99469097),List(26303653, 13339231),List(82696098, 59943435),List(97587021, 46970336),List(51987870, 93251177),List(92809491, 8051327),List(58014467, 94298963),List(58025896, 17772989),List(99819302, 31137793),List(64080422, 77202890),List(21078043, 37243237),List(84208768, 64858213),List(49341203, 77137931),List(56869937, 15049199),List(5794115, 4087615),List(16364814, 36447428),List(32876180, 21764023),List(91421273, 88580735),List(34841507, 17392180),List(59659694, 8968977),List(51948720, 37956428),List(42636244, 61664481),List(80079222, 2334968),List(57051788, 4977262),List(32419081, 36186314),List(95894571, 40267658),List(64955102, 52620959),List(54472326, 49706756),List(50179516, 16887621),List(7278995, 40091979),List(47752054, 27393777),List(23195645, 55299817),List(45534487, 89523486),List(33929531, 83947316),List(82189805, 19006033),List(66399497, 65494853),List(66138610, 98689710),List(13888801, 32619632),List(56435666, 84967893),List(59116987, 37673012),List(80408618, 64780614),List(18170095, 8082666),List(1384157, 59775723),List(10415282, 14184971),List(74678310, 70430619),List(89333534, 66120452),List(70350134, 99870187),List(76399132, 55284863),List(8344511, 57179022),List(85942159, 2708720),List(76604922, 83653039),List(53932363, 78271719),List(61625515, 37915112),List(10114197, 87462667),List(8785354, 23106530),List(89594052, 77181858),List(4763940, 97920780),List(30149686, 32576197),List(49333857, 13121859),List(4665520, 9391264),List(49815226, 81281253),List(398717, 30896973),List(64320291, 59499489),List(146498, 62002376),List(375809, 3480085),List(45202376, 92582020),List(2602011, 11760799),List(17174851, 69770097),List(76712729, 85366826),List(37149211, 39902257),List(50321512, 37909197),List(90777140, 26828299),List(94772496, 90422470),List(86016737, 86919587),List(95777455, 23379964),List(21743788, 22974123),List(59390719, 7796145),List(80751870, 90657662),List(7754131, 14121438),List(30902304, 83381785),List(78140661, 67966310),List(85059560, 9912948),List(70382173, 70339702),List(38346588, 16796928),List(21116826, 94791414),List(26203449, 20633041),List(56242329, 25290926),List(52143387, 72974481),List(1502913, 14836741),List(615526, 61413086),List(66130087, 64011937),List(84954520, 95520468),List(21665403, 65912997),List(37514193, 37800612),List(72055614, 93493389),List(37458582, 71667622),List(87160930, 85386453),List(30438136, 56951395),List(67709114, 15428003),List(25261083, 24656541),List(64813553, 10028565),List(5970841, 44475302),List(31606309, 29787903),List(35444651, 64921571),List(57367846, 77280939),List(64747804, 24410733),List(55790235, 69785673),List(29833405, 75511569),List(4578688, 90482285),List(58672453, 22727975),List(80608528, 24850362),List(35272891, 16610835),List(91891523, 52013820),List(72495690, 86113669),List(4772225, 63032538),List(68079357, 96784479),List(60423213, 9524872),List(84133693, 93107854),List(55232317, 11975122),List(68114284, 61461888),List(88159299, 81961619),List(66206513, 24432172),List(95027037, 80778340),List(96655157, 15321522),List(34044984, 58575848),List(60455301, 87892602),List(79468691, 75468588),List(81654676, 21350628),List(37392263, 24916285),List(75667799, 89292406),List(52538835, 78133980),List(6706251, 81830135),List(44455508, 28607257),List(25687611, 35121384),List(53714099, 18259772),List(17014479, 19598998),List(84906840, 34984738),List(87665599, 79854134),List(41218942, 81333300),List(39887064, 68830895),List(46770738, 3278817),List(13308506, 46750726),List(24523918, 64463952),List(6053666, 1179774),List(61742212, 12271393),List(13746100, 76575610),List(77538887, 23136027),List(9602863, 36872153),List(78137884, 36285279),List(89628519, 59039565),List(10336900, 41717663),List(79354789, 2805377),List(94643374, 79927476),List(79276290, 65478322),List(33835469, 8035604),List(86184494, 24495054),List(46936967, 5749887),List(28775143, 58760802),List(16373821, 87939972),List(176975, 35596575),List(58723436, 25811524),List(21507695, 45875770),List(37398408, 19221298),List(47776869, 85193026),List(70251842, 99499535),List(65157858, 5085050),List(65779497, 55357863),List(78390236, 73827906),List(25702529, 98371743),List(34899728, 94889985),List(4831379, 83261671),List(45434128, 80001475),List(82093329, 52233369),List(32449472, 61327676),List(15897163, 23581881),List(43276691, 74937494),List(38946522, 57949137),List(52930079, 64233299),List(85887499, 52123301),List(14857989, 16533429),List(12873821, 68360470),List(40686515, 98456724),List(17417907, 69183828),List(10651447, 5798877),List(2278506, 90954529),List(22516364, 24570912),List(13345414, 55148807),List(61074672, 94791587),List(78647096, 94944240),List(597864, 68563725),List(64662822, 10268762),List(98434128, 80225585),List(62580869, 64181454),List(80814907, 14643343),List(213059, 57352504),List(42422817, 99061926),List(70249460, 4368815),List(43950865, 73141592),List(8334400, 85276930),List(69684867, 99276395),List(69148544, 2330332),List(8298325, 18496156),List(45612967, 31351272),List(62217928, 34143603),List(24270053, 1887137),List(46109792, 16904698),List(23046079, 50638173),List(27212560, 64294734),List(2100182, 42864693),List(22025956, 77506519),List(4492729, 29383239),List(15009887, 47860598),List(17694497, 80386110),List(37877283, 97968970),List(40652475, 93275127),List(18261097, 53919171),List(41669473, 93519793),List(92174882, 13429468),List(78681048, 25943033),List(84456171, 66629480),List(72525744, 74446689),List(73933367, 91366213),List(75300025, 73496825),List(12366249, 6590980),List(80526612, 60610405),List(82224200, 24251836),List(3682500, 4493338),List(61998758, 17256734),List(33764237, 5340115),List(59506119, 35643749),List(14657932, 40742636),List(73417490, 7949448),List(42089205, 81269124),List(88559800, 84372822),List(37059879, 52279136),List(28230012, 9533466),List(9167567, 55177441),List(16594014, 58076263),List(21447342, 35325745),List(56213175, 67543144),List(11178124, 13142624),List(6466841, 20742336),List(17126777, 85104944),List(80313343, 36553908),List(70458964, 24965598),List(10858073, 55482916),List(69583422, 53166098),List(79830639, 83009006),List(95575180, 81618045),List(58769052, 99216627),List(4804594, 80148780),List(7456203, 87857627),List(19961991, 9126990),List(93144851, 70640825),List(8343387, 89400969),List(3188660, 99406575),List(95395700, 2068002),List(92653117, 10395816),List(37385426, 72893704),List(93592426, 47725811),List(84747252, 66176082),List(34623934, 66308096),List(42758516, 42334147),List(26397353, 78802162),List(54642802, 43088219),List(74675274, 81742981),List(27916880, 54445303),List(6608490, 9039424),List(59123273, 64994033),List(84604550, 13042785),List(82282074, 99908151),List(96830685, 76782245),List(58530608, 48422118),List(92152943, 60980009),List(63025025, 29699635),List(96542822, 42235368),List(53720583, 49949484),List(97473833, 24783868),List(89837517, 70719325),List(85243628, 46566492),List(40319514, 27831061),List(37702126, 80096664),List(75567292, 89890044),List(5475751, 95045725),List(2394107, 1652003),List(53626542, 36563086),List(85406469, 9638034),List(82589570, 90746564),List(17533222, 29921522),List(37142673, 30982178),List(70937774, 24705299),List(17132168, 88696818),List(21407969, 77654339),List(73128477, 48304420),List(10754899, 2243782),List(1730611, 12686972),List(52182108, 25991903),List(16834916, 10568187),List(95231652, 44471465),List(6365345, 90021199),List(73344909, 39209530),List(55323129, 74049399),List(92964383, 37910645),List(63461605, 21507933),List(66363700, 53841199),List(73034289, 3987367),List(39623849, 98166840),List(84728421, 80401421),List(98398363, 41162303),List(16875921, 79563667),List(92290778, 56081848),List(41862181, 34910915),List(86525978, 8852232),List(33438383, 35809943),List(85913132, 9671876),List(18123669, 38508287),List(92470021, 325340),List(18370097, 71188389),List(585240, 1647233),List(57137426, 22733808),List(51173602, 55006748),List(67480299, 42228062),List(76301445, 78637604),List(89302201, 52676637),List(14104339, 41550488),List(51121935, 5182733),List(64923006, 11195218),List(92495148, 57958343),List(49062085, 19022341),List(7126483, 81304971),List(56895909, 72287245),List(21832479, 2798302),List(93281714, 98829449),List(31064548, 73227484),List(39485356, 86663719),List(62406723, 41750149),List(17003058, 6160920),List(45902273, 88670558),List(62221909, 56913189),List(83758086, 94316993),List(11576974, 35680792),List(64499129, 53532458),List(61110162, 36800064),List(75165191, 61163689),List(5395971, 43136604),List(84015218, 7813718),List(5977661, 18252065),List(81110611, 35287762),List(97420925, 80833874),List(23590360, 34687704),List(61167558, 99855628),List(51519362, 32730179),List(76391767, 69058534),List(33652226, 76763069),List(67394590, 12858146),List(78884592, 75450726),List(54504314, 92100103),List(46738914, 73384143),List(43014373, 40735686),List(85144579, 83571998),List(19443018, 30589928),List(81551933, 29188501),List(43033213, 73023232),List(92709207, 92460615),List(56283290, 58334054),List(96391977, 8518644),List(9817394, 99736373),List(75073720, 92173178),List(41434672, 47519553),List(67982994, 79418699),List(90029923, 32385597),List(41008153, 77948024),List(66024595, 12263839),List(46550002, 69072244),List(23699598, 28689985),List(60669904, 36788912),List(84214759, 72706783),List(14282880, 79255875),List(1887599, 44267305),List(84680081, 20069954),List(12324488, 23331386),List(28442409, 9250771),List(92477608, 23983877),List(20876837, 42376357),List(64277060, 7920170),List(72832255, 3378101),List(42904877, 12272568),List(96661126, 52018085),List(57088053, 92975154),List(66166117, 30810581),List(55564345, 77484617),List(82991776, 5234340),List(23755315, 38414132),List(31660725, 5213070),List(30618994, 85883423),List(80970746, 45561904),List(13925621, 28426019),List(76928033, 70407378),List(10177265, 29033434),List(15792327, 52209621),List(47115060, 33962535),List(22328174, 5915430),List(85103479, 70058466),List(68489513, 20451945),List(77651548, 1395070),List(27196656, 65815402),List(13864863, 82087138),List(11852474, 87344918),List(3594903, 42193377),List(24329147, 25971316),List(79388651, 40896413),List(82229979, 7313579),List(27894596, 39102374),List(23147756, 25585362),List(27176540, 19639580),List(45932817, 84373876),List(13185625, 97858391),List(18586386, 83613856),List(16513854, 4398018),List(32219095, 41499421),List(66912391, 53348880),List(25116212, 59224318),List(66598522, 63572483),List(88239703, 51539766),List(51046610, 18076765),List(18212227, 18972566),List(5314858, 3095741),List(58746553, 61197077),List(80180794, 62602949),List(79268670, 76156113),List(19442558, 22323943),List(96283589, 54465640),List(43255019, 61560297),List(7329421, 78674394),List(56619506, 29666695),List(86170900, 14032887),List(77402605, 86851985),List(31996002, 62014556),List(4682018, 29493194),List(69633224, 32475289),List(7019828, 82318178),List(36008412, 98246834),List(14771495, 32151106),List(42602871, 4680522),List(89186415, 5376798),List(48805211, 31730469),List(3896347, 6305984),List(18106055, 58405024),List(97710331, 20224887),List(8415312, 82600837),List(25667462, 8598519),List(45704472, 28421279),List(18402668, 67564298),List(37355659, 51461606),List(77355834, 18136133),List(87058900, 71279378),List(99519845, 97591861),List(43728578, 19462169),List(28776514, 35824188),List(95106282, 18701546),List(98554205, 41371647),List(50657049, 99095458),List(95861172, 5585310),List(39717321, 9689158),List(9470440, 57574584),List(31989342, 80340871),List(81566592, 39609322),List(92529889, 79688466),List(76585056, 39201580),List(77184444, 82399004),List(52441959, 41160714),List(6329209, 53270852),List(18265052, 54594291),List(3443042, 83852886),List(15423757, 85003738),List(10122409, 84315360),List(73987005, 39967623),List(25995144, 46580538),List(67381302, 19330145),List(68804464, 17580027),List(35408494, 43100372),List(99515135, 55707312),List(8416206, 98187837),List(51520400, 51564732),List(85100020, 51586122),List(34458653, 56493066),List(90333092, 84558602),List(84636936, 8928905),List(71229981, 30750075),List(42588208, 11090732),List(23192118, 86372713),List(87211020, 60590838),List(89692744, 16357346),List(92722447, 41155303),List(98648306, 98554481),List(13816125, 82791266),List(5025172, 49790501),List(98213740, 3742667),List(49095292, 34881090),List(20268087, 1347819),List(95220312, 95503364),List(63014670, 6657919),List(92500744, 84051952),List(59558750, 42110715),List(35908974, 53776254),List(41797596, 11530909),List(39881552, 23113261),List(14054262, 25625153),List(57737329, 32383790),List(37356871, 67268458),List(3435891, 55779442),List(43243367, 65668788),List(11230345, 75900599),List(29757255, 3766496),List(81198823, 36223696),List(44282505, 42929432),List(47158626, 32048466),List(46441774, 75496731),List(41355589, 51288518),List(98273958, 24368855),List(87174572, 23637280),List(8554987, 11228330),List(34093769, 50031565),List(95095353, 75404416),List(75287444, 53615167),List(47662840, 32049095),List(51164830, 13817345),List(36812757, 76671319),List(25498104, 24055179),List(24017843, 73733062),List(96027610, 31023218),List(93049301, 51029948),List(40008956, 10584875),List(46966627, 81822222),List(91389992, 32956545),List(6896941, 55534552),List(31488684, 87803579),List(67338979, 82244510),List(21072001, 29433417),List(49877389, 50569620),List(84819652, 55263788),List(99057808, 67031433),List(61094008, 98043010),List(48288892, 52244369),List(24447974, 2292618),List(19996881, 98734215),List(94580708, 11420972),List(24105666, 9536470),List(51972910, 63986099),List(75550917, 54396819),List(58046162, 47149237),List(97854860, 43177104),List(82153152, 30106495),List(62613968, 13751667),List(10158284, 22137624),List(96202496, 60670630),List(31920542, 64108336),List(46146884, 65976603),List(96344125, 98160593),List(75042673, 81555625),List(43160878, 47028579),List(30653199, 59134629),List(94640266, 55444296),List(56636937, 82091065),List(82442440, 76557981),List(25468894, 65286261),List(3124359, 69021386),List(23691377, 25242947),List(86730311, 43229220),List(27593626, 58634208),List(375523, 58744362),List(89690013, 79173870),List(62452034, 52229084),List(79343411, 87320963),List(66194010, 51731937),List(9985940, 41634516),List(98087745, 11421098),List(7140146, 67493178),List(54559335, 51824661),List(88213010, 3497887),List(31132811, 68271317),List(90808965, 53552841),List(62292782, 61389658),List(10705985, 48374438),List(82986099, 32416073),List(81588210, 88360956),List(61322263, 43257073),List(34135362, 84178390),List(60947690, 47942518),List(28254998, 40560230),List(62240191, 894116),List(60180841, 14281485),List(82822233, 13522774),List(12937248, 10099586),List(70723014, 28815510),List(5211632, 82323857),List(87912080, 33826634),List(77951872, 93197754),List(11619735, 29620830),List(36905404, 88418521),List(64564513, 33635642),List(27855934, 72032653),List(44048606, 75766927),List(14384554, 36196371),List(16613011, 70763195),List(27839589, 4791760),List(20186920, 95643180),List(94046621, 95530501),List(63379726, 78770908),List(33593907, 4273388),List(42272817, 31262443),List(64719527, 97121518),List(96916645, 64422853),List(12018451, 89509375),List(25087655, 37853333),List(70787127, 81856495),List(74906057, 52114593),List(70520518, 48383959),List(81145750, 35634770),List(23383836, 56889595),List(77421262, 7721378),List(14972958, 12352055),List(23725140, 40623006),List(90098877, 26867886),List(76671697, 32721912),List(67951699, 1628538),List(20944975, 44385984),List(46701672, 94128977),List(3299954, 53388595),List(86365765, 17345397),List(59216554, 99554010),List(65246343, 11312077),List(39354005, 48607807),List(71794220, 55465384),List(69768129, 81038515),List(69218423, 98773821),List(94241431, 10534551),List(34141061, 59060462),List(16692762, 32295391),List(44240199, 33567301),List(21025140, 33103603),List(77569407, 94220248),List(14175756, 45938223),List(76998009, 92618657),List(66892690, 86402971),List(59237282, 75574256),List(91927165, 86131848),List(24377310, 748982),List(64451659, 35010734),List(5770631, 39602502),List(82509738, 96572449),List(85943459, 89511678),List(71814725, 18285712),List(14185350, 48975623),List(69655956, 4362849),List(87449701, 48268069),List(47711012, 68172768),List(97139504, 32274048),List(81322273, 89789101),List(17463194, 22654226),List(5107469, 14252112),List(12889748, 93686738),List(35683278, 92202771),List(4611115, 61590620),List(23578240, 42025746),List(20446743, 75657143),List(4605250, 31912280),List(55736842, 94558549),List(7611984, 71723762),List(25384485, 69112824),List(19971461, 10097065),List(33347413, 43478896),List(62692614, 43279603),List(26036055, 47085330),List(31687130, 51554851),List(82632210, 64196560),List(88893370, 48945653),List(72433701, 88038991),List(75513484, 31812625),List(49011466, 61465757),List(19087463, 35598474),List(26240751, 80612149),List(22910988, 57281813),List(52508613, 18793415),List(48594394, 37411315),List(92500013, 7992674),List(34669081, 15521711),List(77394872, 18057106),List(55242504, 35302107),List(70868238, 85201030),List(60546748, 64520807),List(64165302, 49385316),List(14511177, 17368342),List(27737335, 26943168),List(60121358, 7290768),List(81668344, 67797022),List(42284818, 69805709),List(37606660, 65851300),List(1477247, 73478319),List(94487102, 49679907),List(27257405, 91344747),List(65479748, 3999055),List(42821568, 4116021),List(70455951, 73765775),List(32729027, 2094498),List(56688087, 71443055),List(55783846, 52778178),List(30963397, 98019552),List(63795841, 44711340),List(19634547, 88847072),List(84375723, 53366707),List(6696940, 94699708),List(48647193, 94274571),List(99645119, 26241196),List(64349726, 17091655),List(91531278, 39729429),List(43172717, 89524634),List(72150551, 56571965),List(62250288, 72961717),List(63143012, 49163012),List(79236742, 68831605),List(66569455, 15182395),List(31076061, 98719105),List(71147401, 11395977),List(54781465, 1113006),List(39710038, 60550221),List(86772639, 9189496),List(90978054, 7856188),List(52058958, 16747501),List(75111851, 7576510),List(9249875, 93526969),List(55020690, 44398752),List(94800884, 65309615),List(42550178, 92063498),List(71072225, 99290803),List(90398635, 77865643),List(35569016, 43519553),List(79817516, 47978902),List(79844174, 97084035),List(38747547, 85282050),List(90612053, 43187923),List(26002974, 63874908),List(53050674, 51594598),List(92054126, 416582),List(24469546, 94396112),List(94799530, 484741),List(62730462, 23783156),List(70916248, 95748338),List(29060809, 997157),List(42940415, 4415931),List(20374790, 95367163),List(22956496, 36652439),List(4538955, 90012878),List(93313916, 11066952),List(73647734, 98338868),List(81930502, 51989002),List(55993782, 2534677),List(46962513, 81477978),List(49356051, 26325950),List(86085651, 20373270),List(8984905, 54303198),List(63957691, 14372623),List(3956561, 98033036),List(37089134, 11005729),List(89599755, 49938598),List(27383436, 29094590),List(73190173, 32846114),List(81265612, 45318502),List(25510058, 8383418),List(10459169, 23545157),List(49220042, 10473995),List(67823231, 88560817),List(96220629, 86339976),List(54235572, 99788193),List(65165426, 95193412),List(16971914, 29480414),List(5300164, 429237),List(53119574, 11371590),List(31751127, 90279793),List(30623745, 67368301),List(38584344, 42742042),List(62066329, 36409683),List(73745328, 28862506),List(75255129, 55688708),List(47509789, 66998034),List(74617602, 19618603),List(19993155, 63598596),List(59703370, 60131852),List(84975494, 73096790),List(71313255, 91839221),List(49558725, 11559973),List(2214998, 60424157),List(83658110, 57866428),List(27248242, 56918180),List(58886162, 59225511),List(75122246, 19873628),List(1672516, 45380465),List(35325383, 67957019),List(86356385, 73032318),List(52247010, 37066417),List(7968213, 47855594),List(26149290, 97123232),List(24757848, 19737758),List(31643463, 78389323),List(71714599, 18031024),List(78542744, 10528610),List(97118993, 76652967),List(27701503, 91041621),List(27626662, 24701268),List(22972635, 84275656),List(52264452, 13329779),List(10029111, 38457857),List(27188341, 19277934),List(32750643, 50982238),List(46680098, 75473451),List(30537738, 73547943),List(97895926, 99047163),List(87495875, 66511372),List(52843556, 78959867),List(44740185, 60314534),List(25611416, 73016102),List(38964566, 25931453),List(8110966, 68535888),List(32671235, 7635356),List(62579084, 24921966),List(57710358, 96311602),List(73485313, 19464494),List(65533802, 70230779),List(96416273, 72167548),List(95412044, 28698123),List(73019350, 10650487),List(19820904, 20492388),List(14522299, 51507283),List(62380892, 76664586),List(60227242, 15632718),List(74432302, 30444021),List(59473382, 49824402),List(73282652, 75943543),List(32878676, 46166664),List(74404046, 23040017),List(13231098, 94375251),List(89889849, 46394362),List(4906304, 111205),List(55605381, 88653367),List(81957964, 14059593),List(73461296, 70127261),List(4657758, 2445886),List(51573343, 29299875),List(35811669, 50313040),List(12711851, 69673207),List(55566252, 96965009),List(33623465, 50908629),List(30582027, 53096197),List(32008166, 46478652),List(75902786, 47697891),List(14945264, 62856587),List(80295613, 75267702),List(71781229, 18753237),List(73887003, 67061346),List(68484080, 80638920),List(93046385, 85132031),List(70172052, 50024739),List(58157668, 33426703),List(65390626, 167522),List(69335688, 44379665),List(15622513, 55652911),List(47389260, 17385991),List(51380060, 38307241),List(66269024, 73548177),List(6001326, 32087870),List(39883039, 96222632),List(22389739, 34444448),List(65370135, 98421569),List(2369371, 33824132),List(88638755, 36502187),List(97611043, 7316551),List(46609847, 53691759),List(75832645, 76909366),List(65574278, 91772240),List(11417036, 68876708),List(51519161, 35842040),List(44090347, 67338121),List(5160548, 85661040),List(16681077, 50986448),List(8679572, 6481522),List(56840127, 15667008),List(18427766, 86782509),List(81026873, 25344165),List(29186011, 36395380),List(44422411, 96626786),List(40953016, 89085428),List(11311789, 72762870),List(71062398, 87969976),List(24651250, 85959993),List(82685405, 62960495),List(36502150, 42617425),List(39629668, 44053078),List(85166767, 3881053),List(8193829, 25143678),List(47175137, 32064357),List(19799503, 3382963),List(92062030, 387814),List(4926966, 18405094),List(49544939, 20781389),List(56755088, 9256652),List(62182413, 7883322),List(15093212, 7516779),List(8798392, 62237560),List(95732951, 47207671),List(57885925, 60550453),List(57184868, 94155812),List(45468, 18655890),List(87188488, 92065302),List(82853772, 5191015),List(54721696, 97069128),List(733788, 64971069),List(60206697, 59514275),List(11861605, 17079214),List(1468930, 18324978),List(80111700, 64854918),List(65391720, 43542360),List(46318702, 61493300),List(90706866, 13756655),List(93207573, 15596772),List(94268813, 23388746),List(81537614, 88524862),List(27420430, 71179696),List(12084187, 61954862),List(60535701, 62486481),List(31495617, 7504379),List(30947520, 58215112),List(11737033, 85979721),List(30822232, 20038461),List(3126569, 51326612),List(89534990, 34769723),List(14523985, 19025880),List(86528823, 49727191),List(98611360, 87354737),List(82161878, 51050087),List(93467808, 66109732),List(96214789, 47806045),List(56519925, 38279970),List(96092525, 52146614),List(63913878, 44949896),List(9819071, 65960629),List(7610726, 91528431),List(35163630, 20110408),List(12505849, 74808741),List(66090514, 66122604),List(52914609, 52765535),List(66062427, 66005976),List(13434630, 55868899),List(39517811, 77911050),List(39062511, 62933972),List(58232525, 64652384),List(5926781, 64830732),List(89202317, 20824379),List(50903428, 22105433),List(98314683, 57559450),List(110970, 41605940),List(23667604, 73564204),List(99785599, 31462692),List(8892811, 11850379),List(28036853, 34585531),List(54436943, 48779927),List(78836285, 27914228),List(2156212, 54967978),List(1845988, 4081113),List(22072469, 66243592),List(47082642, 56793013),List(54400033, 79713778),List(53748839, 95322823),List(60032215, 85084749),List(98509756, 63258207),List(32168673, 59772474),List(59416748, 37920425),List(12506232, 71044766),List(82441084, 78455306),List(46215315, 42970424),List(5673909, 42223292),List(33360220, 86079741),List(7587606, 49648595),List(53873433, 35357521),List(61588801, 14511922),List(20756858, 60162190),List(84008099, 94583841),List(74714351, 45525998),List(24288444, 21413601),List(37547294, 13637140),List(78260591, 21423546),List(64831437, 52469718),List(48738095, 62959014),List(38105071, 78045573),List(31086468, 9369354),List(83666535, 64691682),List(45754295, 20486084),List(76091335, 30088541),List(43948663, 78278402),List(4172650, 46136630),List(9355772, 94921514),List(47368108, 84731651),List(84209591, 11469818),List(3176045, 74526154),List(6950451, 51618500),List(76423895, 17471577),List(90567205, 1824062),List(89806647, 75716235),List(27003962, 44352004),List(84372121, 93140595),List(27785477, 49505887),List(19794072, 43602404),List(18512670, 91390960),List(29626487, 39182373),List(15989517, 45488826),List(13687707, 94864297),List(81428139, 2375953),List(46294003, 32894944),List(76212784, 71429468),List(52615765, 92246304),List(9284070, 83200628),List(53745425, 95327220),List(55024373, 32015611),List(55040714, 79707202),List(63985576, 33464481),List(14885232, 44116889),List(8070240, 36768002),List(5769293, 76684139),List(34901644, 89334977),List(55095948, 29870001),List(73608736, 71056291),List(84968282, 80220009),List(4813765, 31671262),List(97332815, 29957013),List(85057303, 19086529),List(69308952, 94162650),List(56852207, 94702625),List(10994674, 65794028),List(14130061, 87030704),List(85235866, 5941748),List(26886718, 63619942),List(98913199, 78563156),List(92106787, 48353841),List(82872737, 22195985),List(7980759, 41620664),List(20355239, 58402719),List(74836414, 10161220),List(36624855, 33743260),List(39716111, 7210799),List(42310720, 89378238),List(26580481, 60124868),List(50372307, 2106170),List(56283200, 92538521),List(95623707, 53752209),List(27541936, 37483790),List(23151603, 12037661),List(81591851, 58023483),List(55162870, 57461554),List(29848762, 27318325),List(17367368, 71219124),List(19204573, 58520452),List(90501467, 68489003),List(49529062, 66801741),List(69485114, 91159122),List(43955655, 86297295),List(1327141, 96018782),List(65437610, 76134409),List(72977683, 10997356),List(20070646, 65986349),List(99646370, 51457868),List(50988754, 11416531),List(16793207, 32986107),List(95103807, 71434369),List(21889467, 1913807),List(44302983, 22808999),List(86154314, 92400198),List(96726242, 76987178),List(80977965, 21969165),List(85076118, 88365899),List(20048706, 50355791),List(68022772, 19786852),List(11255695, 76142675),List(41636710, 37368492),List(17129703, 5803260),List(61435191, 15978437),List(63222825, 10305993),List(92425291, 41813239),List(12985452, 79195969),List(83647054, 56178094),List(77302387, 3089030),List(65362239, 15758634),List(23817281, 40918882),List(99746387, 9288378),List(64851521, 42709680),List(41689340, 26299617),List(47942265, 57338326),List(72429334, 67606594),List(2566310, 44450385),List(30940296, 22108713),List(57277088, 25310967),List(39600619, 28837794),List(81796122, 45274294),List(38033798, 6117851),List(80496990, 71547318),List(20446159, 84389463),List(50982496, 70023562),List(73288750, 73435264),List(71257483, 83388633),List(22382733, 29790508),List(80053684, 84984793),List(88342801, 6781874),List(41139539, 80396853),List(55890620, 9240007),List(87413369, 57036687),List(35347953, 203867),List(61323453, 45735234),List(93177695, 51655398),List(2864624, 49722118),List(30712917, 68127469),List(52628393, 14766997),List(32292057, 5739994),List(10550628, 41436481),List(16522578, 64814218),List(16648076, 27292897),List(56712964, 22849183),List(33038955, 95948296),List(55692870, 2928524),List(66522586, 89681359),List(63024400, 98466548),List(47370183, 42314244),List(13844797, 54788239),List(52888410, 76295544),List(2644156, 59333633),List(36988782, 80070924),List(96206451, 22778175),List(91144661, 37255625),List(64236472, 54584169),List(41246063, 31279384),List(61160106, 50063618),List(65598012, 79002338),List(19106098, 30718187),List(20899675, 62967762),List(54774614, 44491589),List(51460197, 86946232),List(56635432, 2641580),List(72245338, 78907952),List(32626147, 194202),List(88655474, 23661460),List(36018712, 95409043),List(75735076, 51942171),List(38642495, 38080592),List(47786935, 25896427),List(99859420, 71802628),List(57042408, 15695003),List(83808586, 41431763),List(61932415, 73007809),List(35153701, 27010183),List(13517996, 43580561),List(61806448, 29541584),List(31422115, 51003229),List(72082723, 73473182),List(48910867, 87526538),List(19080001, 65760513),List(18264894, 32449116),List(91629117, 96277883),List(51234973, 53865736),List(57020520, 12152371),List(44657589, 76112467),List(466462, 36246832),List(90967249, 98904804),List(42113121, 11879531),List(52647343, 93820307),List(19188419, 76791928),List(61652668, 28764848),List(58750519, 68141072),List(5454303, 49941151),List(77678619, 37150656),List(75241317, 65569488),List(47531671, 14608683),List(96175892, 83103647),List(76036704, 82794955),List(87894798, 55941577),List(86408198, 16475078),List(45105424, 82123311),List(30785002, 58856274),List(66718736, 78112522),List(6346190, 59500109),List(52752505, 6116841),List(23179308, 4328079),List(67080324, 15728636),List(83283536, 62082325),List(67694477, 83287378),List(32859129, 63866269),List(922016, 24488761),List(28936360, 15737832),List(51786566, 5743081),List(76951056, 38411345),List(59896540, 13104473),List(45835466, 46290942),List(26340449, 79797137),List(18445403, 26850408),List(96598975, 17327627),List(9225776, 55795968),List(50589049, 66804965),List(50819485, 9458562),List(13056679, 36073922),List(23073520, 9454504),List(58875641, 98728723),List(50655438, 69465766),List(81034869, 37710075),List(7370493, 74036967),List(71844079, 22454886),List(92601118, 29686927),List(70348283, 92735373),List(33056489, 83090362),List(21502933, 44708360),List(28355627, 41968702),List(97475721, 68885314),List(99391840, 66210790),List(58076753, 21209800),List(83724410, 19754366),List(71588658, 13800265),List(47251200, 85554105),List(39874610, 59499387),List(96507402, 31257601),List(64399783, 34371108),List(18441892, 42191812),List(5826467, 56937406),List(34513299, 8705071),List(18287981, 83047743),List(99894232, 71605815),List(55211899, 7173427),List(77312631, 43933560),List(56425328, 69501942),List(94907185, 98098642),List(82893482, 21795809),List(6578527, 18126009),List(50675419, 57174598),List(48524550, 43125563),List(84130400, 46959903),List(70464624, 79888797),List(13897069, 63389682),List(11025746, 84339441),List(79514073, 82186023),List(41769347, 62973191),List(8854628, 57459762),List(94906622, 32778198),List(13377083, 64423110),List(56072540, 5179899),List(40154196, 99786051),List(13946563, 8826809),List(17278605, 77417635),List(63586673, 66421600),List(83799741, 20359436),List(68678873, 60861198),List(73870362, 4673608),List(95846000, 62037400),List(22436893, 14270871),List(60320759, 50328669),List(19620138, 98593494),List(81721809, 73973385),List(95818186, 79683845),List(58724287, 89585322),List(10308754, 50478502),List(63893360, 74804171),List(37010545, 74015922),List(25694515, 32806615),List(54862376, 61046221),List(44873759, 90281615),List(10364217, 26979266),List(61674570, 67159661),List(5746505, 48207427),List(65665301, 35582920),List(27863506, 12431767),List(71907938, 64485038),List(62850868, 97110534),List(18602042, 45649317),List(40558615, 3117306),List(73103663, 94777946),List(64003355, 25570960),List(76714765, 80194170),List(17550606, 33174896),List(61232547, 43484739),List(36939274, 86984666),List(63172607, 33679676),List(70248267, 24687092),List(65503735, 13668394),List(40775052, 95852575),List(90436805, 83082150),List(51465343, 96681495),List(23733095, 83793843),List(48523702, 32607761),List(25555192, 27472996),List(72521123, 37172262),List(49430162, 9895831),List(7979411, 86615573),List(30196189, 70126190),List(91728978, 48298078),List(71995084, 10385637),List(98173116, 82207060),List(48392602, 25394898),List(33314733, 67219580),List(91601648, 78934492),List(12809598, 66236135),List(33925520, 44047330),List(99517708, 23418731),List(94449337, 31631934),List(92214919, 3316359),List(86882713, 5401597),List(50228584, 57517656),List(22350362, 20527536),List(78354242, 51418231),List(45831252, 32660527),List(31765661, 8040753),List(20958943, 23316402),List(54503473, 37617009),List(70178699, 94310260),List(48003460, 93348331),List(96433575, 65152718),List(51088750, 68871563),List(56621673, 35018309),List(59822939, 48092584),List(27539825, 92861667),List(84446422, 82414743),List(53427412, 43909885),List(75418197, 15015651),List(20285070, 26063445),List(54868737, 37854138),List(34026545, 52377567),List(82976783, 58494503),List(21185607, 98495691),List(69620926, 26677472),List(33292797, 73912211),List(50090610, 66878474),List(20963346, 34367837),List(46420102, 94329746),List(57134147, 67931785),List(28728367, 89842300),List(60373265, 7705003),List(68672058, 91720553),List(62472242, 13127037),List(32474946, 32215297),List(45842050, 71100442),List(98907440, 57778365),List(49092230, 15996821),List(582575, 80222477),List(78152103, 69577706),List(65433786, 35680424),List(98253112, 53398429),List(79117968, 1527716),List(21410986, 6125492),List(81074438, 82693341),List(10078151, 78469719),List(66156188, 43432566),List(78448092, 61038017),List(54290131, 77968945),List(58455312, 59703631),List(47748355, 21124023),List(45726424, 3989480),List(20115408, 52056379),List(59038632, 5971513),List(52812324, 97554794),List(82118369, 92239275),List(19902952, 69142183),List(61468027, 94207900),List(31146404, 92145989),List(39688305, 27916694),List(70017304, 98000118),List(14880472, 29926244),List(92497199, 46262967),List(81730951, 16603231),List(81397637, 9705284),List(71933439, 26094551),List(49462752, 32474631),List(61562283, 20691976),List(86767219, 16665914),List(44040483, 77609870),List(78254543, 98804418),List(78558418, 61089269),List(24884532, 33211691),List(84263678, 97461721),List(5103962, 15334218),List(89272160, 40629556),List(11113044, 89874931),List(4474480, 42844034),List(35415887, 84174247),List(69703330, 31927256),List(87152016, 51658317),List(98520747, 35330209),List(27065389, 32212037),List(73611806, 24168135),List(29481618, 22545166),List(48906862, 40694209),List(10658089, 91374796),List(48263203, 29825331),List(37755451, 41184662),List(88927843, 61168306),List(73283219, 99561606),List(76432344, 69469356),List(42656183, 54208416),List(2410930, 81688864),List(21779752, 16056677),List(96565022, 8350776),List(36493870, 23792825),List(77870320, 48807711),List(21933070, 78878558),List(76663065, 61402859),List(16733981, 16170097),List(62392977, 69368657),List(56250006, 68960127),List(69953118, 92467722),List(22906831, 87327177),List(2086224, 74222317),List(74229278, 47505518),List(28529167, 50812135),List(28852556, 85258435),List(55693407, 70765494),List(21905363, 9643813),List(88152815, 2885552),List(43390421, 71808934),List(66036789, 5718464),List(88856368, 22235861),List(24544348, 74671657),List(72184200, 6724112),List(83747255, 43474929),List(41825496, 21111218),List(7516850, 48469190),List(95967224, 2689659),List(32922028, 90688387),List(60222390, 96813081),List(70368344, 83303418),List(58638942, 15221791),List(92952926, 11988466),List(36310901, 72019983),List(59701068, 32092970),List(91867806, 65868535),List(35295672, 44527609),List(67341430, 59170834),List(73952731, 23639819),List(59755250, 78882866),List(65634305, 21826972),List(49586918, 31561340),List(510695, 16469626),List(49108471, 20366926),List(19390341, 8436096),List(90341523, 58337611),List(61025880, 3772152),List(19174813, 96267087),List(6446535, 97349845),List(95678446, 82948304),List(61269820, 56969609),List(38351686, 18447311),List(59774620, 80061867),List(69259812, 93954685),List(32643375, 45193384),List(83793396, 34293129),List(53674883, 83492649),List(80043264, 70874938),List(22000206, 65327030),List(4919315, 44698554),List(28025771, 24195357),List(90834904, 28683914),List(1696443, 85093934),List(27374709, 49709456),List(92856831, 5950141),List(58648855, 83100639),List(37789199, 96176334),List(47688913, 21553604),List(47510781, 19126449),List(78579156, 58417822),List(33331374, 72403993),List(22339231, 23620555),List(32341878, 36191176),List(68962902, 81278751),List(55360793, 28793121),List(34978832, 85807620),List(47362334, 93937633),List(97799526, 67759886),List(33550607, 5656408),List(25301918, 4296401),List(64701419, 76971376),List(22431760, 34408114),List(27356781, 45080548),List(11617130, 8505876),List(10266029, 9679752),List(58592675, 84067596),List(4644146, 32604784),List(64374852, 13267484),List(68185237, 87004171),List(45552542, 71765307),List(5282682, 74856178),List(71887765, 26300406),List(75579369, 23061815),List(92153721, 11950403),List(37613397, 50624525),List(98533424, 91343226),List(27907015, 79246467),List(70333395, 80112722),List(80871447, 86988870),List(84841595, 2691496),List(73948709, 63385983),List(94238879, 39237025),List(68753439, 32601752),List(71201453, 51084174),List(47206481, 59286424),List(70441603, 67584757),List(23513457, 32606083),List(25450858, 79605837),List(28346811, 61890784),List(82254421, 17284474),List(6805836, 58979065),List(33372164, 17669467),List(49387184, 39886732),List(84790798, 13517075),List(42379631, 61602021),List(72142530, 84128262),List(90495058, 86391448),List(54528835, 63849102),List(10882120, 4239021),List(38251886, 891868),List(58644355, 36479239),List(61489900, 67512024),List(44735259, 50476799),List(93942601, 71699005),List(96811854, 25703983),List(53798246, 40281337),List(69248890, 81164408),List(39807238, 27581430),List(57172033, 31083630),List(59554318, 23533815),List(71463243, 50641724),List(4757797, 25897316),List(88010539, 74734313),List(89729194, 17890062),List(65759126, 51836581),List(86337333, 11165638),List(79196057, 99673112),List(55527298, 24339057),List(27774516, 23142465),List(30714648, 3375508),List(25484219, 28043975),List(82624398, 86043890),List(656357, 23581743),List(78272943, 38212073),List(3836127, 35613566),List(63962095, 96589842),List(89793973, 52198170),List(44737155, 87686036),List(17201201, 91880301),List(42307913, 29447982),List(93157403, 44115280),List(15967969, 53997489),List(53683846, 54683745),List(43200215, 42048072),List(99755613, 76790777),List(46182369, 10149166),List(71085534, 75557113),List(53715854, 18396593),List(94032739, 20942691),List(86307044, 17124250),List(20478608, 85463289),List(49899522, 36719028),List(66519586, 15718455),List(44845094, 52983895),List(11789810, 73819425),List(51551119, 54537561),List(93735027, 4806320),List(60700412, 97079198),List(64259731, 56936243),List(71774569, 51636533),List(5080968, 46882738),List(37633644, 75721124),List(52266650, 89567076),List(64932847, 25031318),List(76957902, 29872872),List(48549122, 2876805),List(25899632, 81716982),List(4358514, 64248378),List(17117576, 95637527),List(24165452, 31455063),List(79617389, 86639907),List(30589866, 51673588),List(65999934, 78042366),List(29570019, 29709433),List(85037440, 51043608),List(4024483, 27004365),List(62467067, 28226672),List(93420469, 11315795),List(8606930, 17210763),List(76105230, 62693109),List(52207692, 59729809),List(92761300, 39229892),List(44169081, 86867525),List(32836025, 28305067),List(56727402, 6037777),List(66450090, 36699029),List(99852228, 11409554),List(82133263, 62166149),List(60297405, 21179585),List(79022273, 8990087),List(56980833, 49211227),List(4677717, 50098438),List(46670890, 47515069),List(79684553, 21551362),List(54341347, 23360818),List(96209168, 66309004),List(17673577, 73630635),List(47614451, 50843349),List(75691088, 24325412),List(67675806, 75953952),List(31450072, 16627733),List(46695818, 12999995),List(41523164, 89830767),List(70278230, 20343538),List(93499667, 88436020),List(76535413, 67213408),List(80080065, 11770094),List(94631996, 82441173),List(76803432, 58527509),List(1089137, 25021280),List(60144475, 18043907),List(56586626, 29348367),List(49386282, 10319956),List(68536691, 10160476),List(89569512, 35489027),List(86496815, 95198385),List(71664906, 89827573),List(59740680, 57769482),List(42216384, 70569311),List(61312857, 73717783),List(19221574, 67068185),List(9576237, 78793534),List(77835566, 72623381),List(32946121, 18327395),List(26126249, 83992662),List(40946781, 23056437),List(35560526, 57018020),List(59346860, 35114670),List(56022085, 54683947),List(46575566, 18433096),List(52778675, 16250826),List(92897416, 19932987),List(90481495, 19216029),List(75938782, 52083098),List(21326170, 24019724),List(81176398, 6716135),List(65696007, 70780923),List(20917044, 55567829),List(922819, 76008910),List(33434353, 61205081),List(25855497, 8769756),List(21478457, 10942379),List(35059564, 60285422),List(58352994, 13573208),List(1242190, 1907847),List(74347544, 61926611),List(57714069, 99178903),List(6921376, 2368657),List(71341487, 66512354),List(48415740, 95063766),List(436043, 37452923),List(13274676, 89671477),List(80591134, 83633268),List(20906443, 35430834),List(6737911, 20235826),List(92931618, 53316248),List(65691613, 92406645),List(28421355, 98252840),List(84778677, 80832471),List(54537320, 68826423),List(8504184, 44528699),List(12641510, 25763464),List(11288589, 9146629),List(14729019, 48688915),List(68751191, 86194097),List(46372685, 62734228),List(80602889, 64970671),List(73586356, 43720098),List(84622801, 64095979),List(62783882, 30599064),List(90612872, 62735830),List(17807754, 86080458),List(56552011, 98759619),List(32940168, 74928773),List(52561294, 46867119),List(70339671, 35362767),List(14690660, 31144615),List(74516158, 496993),List(60714332, 81150755),List(79949731, 33336798),List(97446794, 59737572),List(15314673, 86263166),List(44967876, 21849624),List(64083666, 24983168),List(43254257, 25280401),List(86036423, 39273420),List(75242943, 26742245),List(38299428, 96412496),List(439852, 58709301),List(96984734, 22866783),List(63781231, 16272877),List(23410054, 61032570),List(71683071, 56736215),List(1972258, 5262155),List(39258762, 18505458),List(55107862, 4931182),List(17463604, 83275958),List(13197021, 29079883),List(20454686, 42464217),List(660210, 58785064),List(52807451, 13545699),List(66526305, 92033202),List(67839687, 61047417),List(95118222, 35772028),List(26470163, 99645957),List(91389728, 82764292),List(5791878, 91791688),List(23303965, 11759655),List(3842914, 79937534),List(56575926, 72487689),List(14895161, 84756096),List(11077050, 31982284),List(50997443, 12610448),List(47097748, 73403985),List(26741901, 10625074),List(77032535, 10421683),List(33849791, 33959403),List(10759359, 6130816),List(74858286, 16640801),List(21958677, 4747458),List(57337088, 15729757),List(74125305, 6706736),List(46331588, 9164268),List(40862852, 98852435),List(33188295, 52507845),List(75336171, 47958969),List(83312210, 4856228),List(88634526, 9610072),List(52288637, 14347723),List(39114787, 10475207),List(31265391, 5071542),List(60945258, 10683173),List(41807369, 40494223),List(97340564, 7209162),List(2453642, 47040267),List(64550249, 11035684),List(98222094, 11813943),List(22038390, 62265644),List(7111621, 21238626),List(25418519, 96500253),List(47859149, 57482948),List(472636, 34730627),List(56163251, 95118984),List(12912646, 95969705),List(33957510, 48801615),List(39720268, 36667830),List(10388684, 28837371),List(26456753, 81870846),List(94688447, 89865962),List(88734335, 53574766),List(90469559, 6942000),List(807854, 25142409),List(46760404, 11218264),List(54366088, 25783994),List(9829789, 92864915),List(96418632, 54972449),List(65731708, 19068512),List(6633440, 93800502),List(85754058, 30845264),List(28895530, 78893338),List(83746123, 47016227),List(74240848, 22733073),List(33701434, 62418465),List(31289488, 53677111),List(92828928, 30024782),List(99160462, 36891680),List(82295371, 84720009),List(71042124, 93192679),List(77768739, 821050),List(93560235, 89241967),List(60184315, 90729513),List(29285076, 69603803),List(33793184, 73607409),List(40280411, 22421686),List(28211452, 57135640),List(62131670, 39346736),List(38445740, 13657017),List(65167293, 80499724),List(42638415, 3812598),List(64604534, 63825740),List(42326821, 73076474),List(1122162, 75464231),List(4736558, 95432804),List(10595847, 65698060),List(10190835, 10165138),List(13500185, 26959851),List(69256515, 27111274),List(5421866, 8882871),List(84974569, 52454319),List(37075303, 15067830),List(31372448, 63899588),List(10465201, 93335286),List(92457502, 58689270),List(79643005, 40219918),List(95790210, 7853376),List(46131200, 31465223),List(96237660, 27244205),List(59206162, 40002369),List(74799312, 88596715),List(70926728, 12034097),List(21036173, 81131277),List(95226109, 28900102),List(55556175, 38930944),List(29671924, 48050755),List(88396441, 13075797),List(15002400, 85630857),List(51955510, 82643371),List(80462795, 1957240),List(46619910, 92439849),List(99096394, 80486656),List(5485133, 68997527),List(24216348, 53371743),List(94971884, 3032355),List(66661438, 12554252),List(79968655, 94923199),List(90546005, 26415236),List(21117028, 82062323),List(98002096, 73459299),List(10784571, 81344282),List(62512817, 86890652),List(58955295, 12841921),List(61487783, 5693105),List(76167803, 97036222),List(37604920, 73580237),List(3012348, 11086947),List(34196663, 50235915),List(38282254, 76009438),List(18351122, 94593652),List(46943821, 42000394),List(90295639, 72040848),List(86706366, 805939),List(96352804, 42787317),List(33103289, 44010058),List(35403336, 34432760),List(80667062, 66015054),List(95349166, 63517741),List(70081769, 43424524),List(80094032, 3454427),List(96197693, 66754732),List(80449041, 45402347),List(80855298, 53683128),List(7472154, 73282915),List(40455937, 69489136),List(38330667, 85962881),List(41275721, 3738925),List(89507623, 52391454),List(697411, 48322134),List(96748039, 51170546),List(43109781, 39435575),List(9733153, 69196341),List(20118470, 60038847),List(94759082, 6708719),List(81186834, 88820849),List(48348019, 50835553),List(75152475, 59469504),List(48956054, 61002485),List(1756098, 43640196),List(22318371, 55274526),List(36722526, 41924864),List(77116334, 41718619),List(46530187, 51145601),List(21244200, 58615430),List(18733776, 87328822),List(70766705, 30987812),List(21570760, 27347874),List(39759241, 23426870),List(66255976, 13962226),List(35542541, 6335854),List(64632505, 61587177),List(60239890, 22849398),List(3758542, 60289167),List(14487442, 36675079),List(58570390, 51573608),List(39245164, 39655023),List(92913076, 5613007),List(99948506, 90746138),List(9559572, 9039952),List(86915944, 80571622),List(70756603, 31871067),List(5043673, 60973251),List(19959879, 18896055),List(49889461, 41265127),List(21831921, 88481243),List(92431700, 32568401),List(85481647, 65292087),List(41215410, 61843723),List(11548225, 696669),List(51976406, 44480317),List(81263902, 11546140),List(13537806, 34592689),List(59000941, 6510627),List(21092210, 55321151),List(69419357, 99539194),List(67186483, 89049113),List(78257802, 15469945),List(50729981, 52528913),List(81534264, 92731489),List(68080154, 81247004),List(64901834, 78093257),List(55818945, 43124747),List(91844079, 29900252),List(46095398, 55611763),List(88797939, 40051339),List(90635892, 20551273),List(12941072, 35267062),List(71255423, 42684910),List(92414759, 17120811),List(24471322, 91271018),List(37320108, 27721429),List(2090109, 42499641),List(61566573, 51153771),List(38447384, 59696116),List(95148795, 36355020),List(50737253, 41359694),List(58774516, 69749313),List(81669969, 64452941),List(58900348, 48000000),List(46504975, 61757391),List(34284604, 98980641),List(45257471, 45429917),List(20548650, 8427753),List(40673359, 6352206),List(33576711, 42588752),List(15116813, 72481142),List(82982242, 89710273),List(30092890, 1834121),List(84528138, 63736066),List(92435715, 81599593),List(84546246, 26788523),List(16409091, 77944924),List(46941771, 70160090),List(40655249, 52086898),List(35856255, 76790094),List(838127, 44344579),List(67622396, 43462196),List(42854921, 45591269),List(48281040, 75050270),List(4191538, 62523983),List(476315, 39736619),List(79974200, 29151391),List(90075523, 23292336),List(52650513, 18597107),List(24712665, 10406587),List(45098194, 46961667),List(47289069, 19346733),List(87845745, 21823521),List(79177260, 72909967),List(13900555, 24114345),List(8688842, 41607471),List(31678131, 64097181),List(62568043, 8109863),List(16866361, 45910643),List(51498308, 22193167),List(1101098, 37499456),List(83791084, 74807764),List(62019093, 69914099),List(49500602, 39298527),List(30494282, 91709413),List(43033339, 94701716),List(9553372, 26087196),List(69174166, 39692962),List(53917374, 71177027),List(56100566, 16347600),List(59194243, 63199323),List(89010593, 16346592),List(92714624, 1168940),List(22026029, 63894198),List(27478627, 53924338),List(47604434, 1549116),List(10010817, 77941812),List(41667570, 24950615),List(97364362, 27797942),List(39702206, 13888931),List(34101783, 41868558),List(62862500, 14792636),List(30627966, 24373887),List(89327640, 50784820),List(6915806, 97760688),List(91307184, 42968288),List(43666611, 49651237),List(6515315, 80517130),List(9568457, 89106412),List(29736568, 69036760),List(66393391, 86188247),List(47029258, 71410155),List(56657409, 70919290),List(20433132, 85917909),List(34049007, 95213985),List(88863079, 8749586),List(42663046, 92826737),List(73556946, 21968085),List(97645247, 78733318),List(16877617, 37266745),List(48055729, 38943645),List(12186090, 61833279),List(51943345, 21954730),List(86709197, 90321372),List(61939479, 80429599),List(16861244, 10466264),List(37371381, 52668955),List(97077176, 27683519),List(30998923, 93280000),List(45753698, 83236167),List(99884910, 74421943),List(48133006, 37484167),List(50206171, 84669811),List(37909618, 96804933),List(22518309, 32804949),List(77612842, 76382158),List(2134787, 44157316),List(29736586, 36390394),List(91146417, 33451881),List(24992334, 6201105),List(70208459, 2753682),List(89108831, 48354331),List(62848647, 73953877),List(1905749, 91843294),List(83962375, 58533711),List(36103964, 28640505),List(79671725, 90964547),List(99454582, 12381481),List(34612683, 40506204),List(41111312, 55958908),List(3269577, 14937269),List(2358829, 78855263),List(49430622, 28026330),List(96087860, 43037925),List(85113521, 8220474),List(53254102, 63846637),List(33890082, 70388477),List(77291941, 61303484),List(83775940, 18060773),List(19009954, 87887280),List(47778725, 6776656),List(45730879, 26738884),List(97022255, 88107562),List(55058810, 66314341),List(74929436, 22371657),List(88828387, 60052735),List(43079197, 85362650),List(5266346, 48935493),List(20565684, 65451196),List(83332091, 69403426),List(6968028, 35430733),List(60168232, 48507879),List(47921227, 85950881),List(93058999, 3613708),List(89272486, 75016195),List(35065226, 23979452),List(91917095, 44672525),List(37659107, 71022562),List(75835616, 56534960),List(85781777, 27102705),List(96722544, 57376032),List(45336072, 95399313),List(97170063, 57576964),List(79800698, 85006779),List(86533111, 51877583),List(34213440, 55181855),List(77147897, 95262044),List(93911168, 41341790),List(17589446, 39410230),List(28174611, 61398508),List(3309017, 90363846),List(50557592, 39376299),List(23527386, 95109771),List(62237368, 85095210),List(4808106, 91977247),List(28196328, 80332026),List(70793893, 70182226),List(41556576, 43943490),List(65658060, 62569632),List(61034596, 55329080),List(22116219, 29270525),List(65493864, 3064563),List(89839715, 10438512),List(8046739, 67984462),List(65083083, 97432914),List(46678121, 19507431),List(73645838, 56229729),List(13267200, 43673189),List(15017456, 90206551),List(51656080, 55218362),List(57411213, 68403039),List(40762611, 21932978),List(68630280, 70118598),List(18351846, 43614435),List(11355848, 42885564),List(59772996, 17520754),List(36678226, 85484283),List(93227080, 43902262),List(89591463, 35873957),List(62646089, 72890005),List(15054980, 9379182),List(31564308, 21460950),List(58589299, 25530083),List(72372189, 12243090),List(5499230, 48259828),List(68019812, 95249104),List(5604276, 94611182),List(84541229, 24047840),List(20409288, 41506424),List(8260627, 63147873),List(77174274, 89050132),List(68526562, 43154365),List(7448117, 17219733),List(34544235, 19786629),List(29469773, 32852558),List(95398591, 20515010),List(3680456, 78658578),List(28530274, 12394836),List(63540388, 16031927),List(47933411, 19425806),List(48121906, 22328926),List(76023617, 23154662),List(68396802, 22083719),List(68760127, 38345304),List(88468896, 94309557),List(68012539, 11634842),List(21191106, 42028666),List(30583710, 69118196),List(90431537, 71299942),List(76096364, 80565791),List(48537704, 76143838),List(82149143, 25799884),List(18041670, 74368199),List(51391442, 16745931),List(66378462, 72854304),List(32855135, 36213293),List(38970769, 74976126),List(74625206, 13310471),List(69587586, 67403177),List(37503764, 77143888),List(52525050, 86309549),List(65364389, 20915047),List(39567616, 45413775),List(76544896, 16713949),List(61911980, 20217052),List(35799641, 4589354),List(17796079, 42768073),List(20576279, 22823157),List(15690005, 84164567),List(76743632, 8273687),List(15074419, 48844285),List(81949406, 43172323),List(27919205, 36428008),List(8263880, 52781762),List(61563021, 74677422),List(77280552, 58594351),List(39125088, 48033242),List(80434865, 25591961),List(17240125, 64433586),List(7181935, 53969472),List(26236165, 62039301),List(26130960, 35162973),List(98555695, 99181838),List(81167768, 18236417),List(92449811, 99201401),List(67016259, 85456819),List(29560698, 49810396),List(4869035, 12845414),List(11432184, 90004145),List(71287880, 56700292),List(39791826, 16841886),List(99127654, 39147240),List(68243955, 43663781),List(32219228, 5754621),List(84981860, 36812598),List(42823896, 54175601),List(99069740, 8482038),List(81383810, 90430642),List(42688459, 67730603),List(37354043, 89104474),List(15237160, 33683803),List(79054430, 42162711),List(59286956, 96971944),List(66025656, 48854153),List(12098792, 64336395),List(6522031, 33403382),List(25955574, 11138046),List(71777449, 15594410),List(90574577, 16792061),List(43400076, 21513963),List(6558207, 95215729),List(75756886, 12633602),List(50072206, 47372871),List(35209806, 32259301),List(32151884, 9501595),List(50970160, 71213118),List(20636796, 15579265),List(2243784, 75089848),List(97878841, 21557783),List(50323775, 50983347),List(8135856, 81572327),List(8407877, 70236247),List(18676232, 29512811),List(93078664, 52562359),List(38038994, 7106781),List(27735660, 16779268),List(13088921, 78160612),List(80707958, 28733218),List(84044341, 49309432),List(76677401, 23841180),List(52377104, 41346296),List(20859204, 5249267),List(39269288, 72225015),List(55678636, 54976757),List(44918921, 21269614),List(38999789, 42458342),List(51789609, 27643018),List(26345751, 93639712),List(22806872, 95938088),List(41579712, 44618040),List(86184239, 38711969),List(774651, 96909411),List(83529989, 45715832),List(45978448, 17158632),List(68257649, 26919996),List(37715302, 86117178),List(80637455, 10062044),List(89892342, 44233630),List(50885429, 50441754),List(53335119, 18351791),List(59770970, 19340766),List(54902007, 86032855),List(93647760, 20981601),List(25313167, 78397023),List(55890168, 33332612),List(69912499, 99313076),List(36112317, 20789419),List(42283977, 21334331),List(91677517, 29887992),List(94954950, 64729378),List(27804287, 85224474),List(21118099, 82829822),List(22403185, 64939404),List(40924685, 18396254),List(98799801, 93873205),List(17848107, 65320854),List(71478506, 27753894),List(25636364, 43422113),List(48741927, 15076331),List(39806609, 12569254),List(95398332, 35009562),List(1370539, 73355633),List(26473556, 10628881),List(18919136, 53577832),List(38096568, 3792967),List(83658475, 68571358),List(82399744, 38296441),List(76613742, 63030386),List(87706356, 67023359),List(63264793, 92522992),List(61182579, 68531079),List(5469445, 79664353),List(73429287, 28067221),List(20692371, 76324712),List(88521961, 92310932),List(58182110, 67462743),List(4492359, 81994927),List(54922728, 5529466),List(47312333, 53792604),List(63748328, 4608961),List(20367713, 45605879),List(44305141, 99818116),List(32582113, 59465418),List(94718028, 68482399),List(19583472, 57103397),List(59806302, 88753825),List(3624429, 2845541),List(89272449, 1799356),List(65939996, 66838993),List(683351, 56292613),List(32705604, 4229586),List(84186308, 55640828),List(61700930, 90173283),List(19904195, 21091574),List(69762745, 96543411),List(22122404, 18784324),List(77494810, 59030290),List(71054165, 62352098),List(28734385, 39672976),List(87313824, 40047449),List(84049237, 72442379),List(94058319, 5972800),List(9891446, 31023737),List(14999502, 501291),List(5733715, 73986190),List(8907191, 50852880),List(81272037, 98398627),List(70967579, 99571117),List(43450137, 54596974),List(89881318, 38249614),List(43465198, 81759839),List(79781048, 41929603),List(4109094, 89603846),List(52963027, 91513092),List(61747308, 33423109),List(98932921, 21608065),List(57664059, 49956739),List(91426985, 28453248),List(28433899, 13432158),List(3863123, 60043407),List(36152750, 79706880),List(51441303, 77558982),List(49697458, 55475713),List(86854386, 65114346),List(69331163, 41229258),List(86622931, 27958574),List(93225028, 82659210),List(330340, 95743640),List(49094559, 98672614),List(35335573, 77356600),List(32177167, 79746177),List(87686378, 2382457),List(94915085, 25067855),List(69008491, 38943169),List(86163856, 36359872),List(54066669, 65406518),List(31647290, 44337616),List(41437860, 57915229),List(96997147, 45278749),List(78403059, 12145978),List(28866688, 39824293),List(7915381, 74827770),List(2824674, 68876961),List(88457920, 90685122),List(91515882, 97474),List(81291660, 97197329),List(1970880, 46077336),List(45706986, 60511725),List(28259726, 13272846),List(51084290, 25278634),List(31158843, 56775946),List(47196307, 41169901),List(7609055, 84346961),List(71447178, 89811208),List(80649983, 42213205),List(1548042, 99204020),List(80038845, 765459),List(62510809, 95975490),List(2826055, 42151864),List(30178931, 73545313),List(70199365, 60996190),List(2331231, 91291332),List(12637916, 5878242),List(79406699, 98950970),List(95135802, 89972854),List(14663737, 14169809),List(17741225, 84620914),List(97856865, 72325232),List(7902631, 22644877),List(7906929, 73402924),List(79654177, 63705836),List(59628179, 81187204),List(39443181, 10042616),List(76421734, 52737187),List(88422160, 95598843),List(20522283, 24975489),List(25036309, 28797923),List(51887875, 14952915),List(61937370, 83545001),List(52326010, 52914083),List(54825197, 10028700),List(2680574, 12271121),List(44914835, 57945429),List(49971823, 41351302),List(67578171, 50385050),List(29310537, 43748361),List(68582007, 50092214),List(44680559, 77718669),List(80127990, 3683631),List(22452246, 34640656),List(79926365, 97852101),List(26280012, 71090189),List(82657520, 39142859),List(99579323, 66174934),List(30064203, 88121939),List(40651263, 83307388),List(58187511, 9995845),List(30839219, 32111286),List(79513630, 74751000),List(62787409, 64142198),List(51009826, 85799739),List(41621472, 6239311),List(65972434, 28153461),List(55798851, 80640110),List(89659394, 21976924),List(8954045, 46137134),List(77295796, 8420173),List(827161, 84906845),List(15496423, 41632582),List(23940924, 39853820),List(73150787, 65466780),List(77890699, 47523944),List(86170395, 65090190),List(72591393, 86889861),List(27032155, 24622776),List(91234205, 78065936),List(57374543, 15497198),List(15263807, 39634045),List(14351520, 1276975),List(44027130, 72202047),List(38402965, 10317616),List(98993619, 33445049),List(21011458, 74371055),List(75634352, 48687673),List(59626204, 51056199),List(91803562, 55203991),List(89028565, 37957952),List(62299637, 44699225),List(3591760, 74410136),List(75617807, 57563522),List(23860185, 43314327),List(97388263, 55144431),List(91395334, 56517498),List(71543680, 76456517),List(81205565, 89686916),List(25826744, 17785833),List(6181791, 82412212),List(19548244, 6227441),List(49324008, 99514474),List(95538461, 65753553),List(80545418, 54190673),List(67117887, 47064705),List(81524869, 21447345),List(68127963, 23957976),List(91039568, 70377063),List(98631781, 99760177),List(75983758, 54595566),List(80171647, 90291082),List(83304845, 38527948),List(34418261, 54676868),List(84325063, 44358445),List(23909898, 94255279),List(76617762, 43809975),List(49400507, 510695),List(74115480, 49234195),List(20039103, 69859031),List(39666180, 14998918),List(2568125, 52519178),List(31139873, 10864351),List(95925129, 59414451),List(80332253, 47005901),List(1653245, 20340601),List(8823969, 92760076),List(49531211, 91351866),List(57717992, 3912494),List(17831805, 56055023),List(6518200, 81461265),List(68175650, 86088684),List(35336037, 72168253),List(10888514, 34233729),List(62310538, 8821712),List(35592219, 85227260),List(20436263, 95111498),List(74201539, 27310452),List(69667547, 5797360),List(62895103, 72116440),List(84810160, 46257795),List(60286356, 42291357),List(23942382, 32718910),List(46218951, 31615957),List(79628207, 45005141),List(64794206, 76697503),List(19517706, 29652832),List(24533620, 31255821),List(1701379, 98586702),List(66217458, 35065537),List(34475705, 34273939),List(65631208, 43105320),List(73403938, 17579438),List(63734913, 34594351),List(20199699, 44242050),List(97641188, 84489375),List(9461137, 59131364),List(95770633, 45113236),List(33634478, 88979145),List(85501206, 53253869),List(23999141, 43936407),List(11072138, 77758278),List(39711698, 69044866),List(49102705, 34465388),List(85519377, 80849639),List(39324731, 91274207),List(66906667, 64472569),List(24247834, 504456),List(41348001, 1121155),List(18556337, 66924198),List(36363415, 19752732),List(9663022, 92031195),List(84047243, 18055178),List(39683495, 30094501),List(26199855, 81878789),List(41436833, 10383812),List(16852884, 84891888),List(6539232, 67889966),List(37087685, 3926685),List(22561494, 8949828),List(1855214, 10549389),List(97236868, 66888370),List(64892027, 10376835),List(92025061, 86909731),List(37032935, 82556158),List(7363169, 73344508),List(27753248, 68122781),List(38389328, 19168094),List(16134464, 89548822),List(80335365, 43346367),List(31600229, 38559938),List(83770637, 44675565),List(64271214, 45332591),List(6002384, 59436327),List(4878429, 43790180),List(79894200, 42535906),List(71340797, 64949949),List(9474376, 4791618),List(31126412, 44171963),List(82154913, 51436467),List(40910494, 14455289),List(23535680, 95750268),List(6601185, 1203840),List(9599631, 62185940),List(97444172, 9759487),List(16952002, 20848703),List(18880493, 104038),List(79282843, 44814953),List(58261286, 69193358),List(15651890, 38548960),List(21761410, 32542388),List(54567060, 26242360),List(90040122, 63119440),List(87446227, 57828460),List(28277758, 15976855),List(28897322, 68999814),List(25837405, 62859426),List(46873975, 32349969),List(58516130, 35940492),List(39979263, 89666242),List(43109559, 13747062),List(56189866, 54364640),List(12218555, 17474135),List(77300097, 31223910),List(34307800, 93424831),List(18642669, 42642655),List(68583504, 58942387),List(76212467, 46895217),List(18467537, 27045591),List(48830915, 91855921),List(3266942, 2624646),List(3882214, 26835195),List(60807172, 65172103),List(53216627, 89472863),List(34621876, 64304436),List(57635374, 41211472),List(52162460, 70663474),List(20437444, 95471568),List(81553953, 99902769),List(34085292, 81680746),List(97561260, 49921422),List(91535462, 21305423),List(22158423, 59432271),List(64738360, 67648601),List(94438336, 66006804),List(64670292, 85504535),List(9803629, 90627686),List(25234962, 69105668),List(32817254, 42711403),List(96931874, 21606754),List(16865068, 77023146),List(9618282, 80017778),List(64716328, 51435124),List(86668308, 7181572),List(56658775, 23686225),List(30570099, 63000359),List(71691775, 54865786),List(91494159, 57810684),List(10198275, 4995577),List(16282792, 67229584),List(84098537, 22972343),List(50096572, 93135142),List(54174188, 70441608),List(50100647, 70924835),List(32714361, 51605912),List(89390800, 95045840),List(87895375, 2924515),List(19027504, 94503933),List(63996794, 6899438),List(28868794, 76907658),List(54653951, 75055541),List(98220478, 73254129),List(44321477, 55315634),List(28994284, 56399378),List(4724585, 99024576),List(91014481, 7774151),List(44321784, 89712920),List(81042499, 99035252),List(48180079, 16396425),List(65170635, 74980510),List(72634491, 35741633),List(16402700, 61335817),List(68141510, 30904497),List(11261295, 50637038),List(39262125, 16735297),List(23065556, 47528768),List(32468497, 62115158),List(69256081, 45319225),List(69767475, 66333596),List(31395866, 668717),List(39172036, 47603913),List(21590613, 19995113),List(10976707, 52639219),List(32069631, 178766),List(43576735, 79772168),List(4224377, 28665782),List(2867054, 17339909),List(67429823, 24274598),List(70791952, 23152750),List(27002019, 96133694),List(63007699, 69055731),List(29710076, 38638644),List(94042, 30439987),List(75077321, 78966771),List(83683127, 83032239),List(94673946, 33321987),List(26280123, 72645282),List(51881394, 36496059),List(99108847, 96144661),List(60944008, 61214172),List(12170292, 53405024),List(41580649, 14301651),List(64334008, 94474830),List(42575613, 30222979),List(20078292, 90616619),List(77963874, 7684571),List(34708764, 2302770),List(63014028, 17676968),List(23969150, 20096029),List(7677572, 70821811),List(12465835, 3961081),List(33503262, 46252419),List(44896290, 91209094),List(40887920, 80208544),List(30214727, 50472277),List(42856998, 29960410),List(45599606, 71957876),List(25130307, 786683),List(33389586, 85537554),List(58721374, 7451571),List(78350914, 28606714),List(10757379, 65285445),List(11888337, 35099453),List(70490937, 94232662),List(14096948, 52507420),List(63026141, 76875940),List(26625360, 50591702),List(85317868, 36162925),List(95857839, 38625714),List(35857878, 67376271),List(71306391, 55377419),List(42162468, 19283668),List(75768478, 6468615),List(62303776, 75490731),List(46233148, 22939202),List(57141677, 44603788),List(972050, 64243974),List(26884242, 23473157),List(76609273, 91554064),List(695793, 79990834),List(19035342, 97726328),List(56724295, 10965998),List(11494251, 67460203),List(48713303, 39665433),List(30812870, 43305730),List(81614015, 91758219),List(42801613, 34181256),List(24480865, 81926409),List(30442602, 15565747),List(45547862, 10526631),List(84718077, 72097169),List(30750698, 93218103),List(25054631, 96951194),List(2668155, 89195175),List(29061882, 41352509),List(64250353, 86761345),List(91076796, 33248905),List(99690961, 36311820),List(50453391, 89346755),List(42580119, 20373684),List(5315656, 75987466),List(3600249, 44773118),List(5909699, 86308557),List(47048235, 9145013),List(49920810, 54275237),List(86582987, 74673048),List(37211855, 64089209),List(14698516, 10174986),List(24426996, 65900817),List(57272337, 14458926),List(55738135, 43069393),List(19691767, 69225580),List(70115040, 73502560),List(14577125, 90004202),List(49589826, 61411370),List(68696003, 28976458),List(14574371, 36427595),List(1301826, 89869995),List(55458838, 15299506),List(32875740, 83422431),List(69947882, 87211174),List(36699169, 98118090),List(91653031, 81092731),List(6070335, 35477357),List(13774631, 69174277),List(84977655, 34609707),List(86465478, 79548222),List(61594237, 11114161),List(240601, 98572796),List(33709815, 12068871),List(22892528, 2174562),List(13976388, 97887916),List(25148303, 57841742),List(99432779, 270726),List(91753835, 90011309),List(81400967, 82746958),List(28746700, 38542228),List(8199614, 54954616),List(66810876, 98527673),List(61450500, 36542284),List(97158136, 37108202),List(20506950, 96898131),List(95945519, 34784122),List(38729014, 61732377),List(7952736, 61278820),List(35154825, 13579227),List(90959867, 12726582),List(89224494, 8444498),List(64480210, 20724175),List(59637967, 60770171),List(80639891, 52221594),List(51068756, 45712205),List(4535232, 90098050),List(7422327, 37576906),List(12849981, 86428956),List(83450346, 74643040),List(34459776, 3976793),List(94443977, 61750188),List(55036630, 56357689),List(47902748, 11980770),List(38262948, 80409983),List(84992, 16845890),List(56555879, 1434442),List(92366869, 7237614),List(1082721, 64505597),List(28050955, 67400409),List(36146571, 76610054),List(54009061, 83960591),List(89598915, 87283573),List(688035, 39378365),List(59554343, 65719061),List(87515936, 13908706),List(6211913, 74013799),List(55002204, 84385266),List(64532066, 21954944),List(41745016, 37841998),List(39749693, 49282247),List(90988248, 11335335),List(33236468, 84191245),List(82723462, 60694373),List(72720223, 36024436),List(47252971, 90714374),List(40963176, 54827059),List(83284982, 95305160),List(66284623, 42089861),List(69541471, 25037437),List(92793842, 9984509),List(66843396, 16269977),List(10965451, 10509848),List(4302267, 90606451),List(65769607, 6171703),List(74001005, 22229182),List(38607686, 97177277),List(70649687, 61934914),List(36288573, 17025154),List(56128764, 25933855),List(7245959, 98491797),List(12958866, 51349328),List(89726730, 12521673),List(19736230, 75223098),List(51477546, 90461737),List(93361707, 49502104),List(24692251, 86614406),List(35722199, 71033574),List(68660288, 51008206),List(72828867, 76147263),List(69377850, 70061251),List(98144860, 37733132),List(11898230, 10435452),List(34976097, 5325461),List(57835063, 24532611),List(1226534, 39333794),List(38170640, 96110562),List(21313244, 53979463),List(24870453, 65850589),List(85218359, 45074106),List(74386871, 33892947),List(53836598, 34911856),List(8947687, 72204116),List(81695794, 75770190),List(32904884, 34178322),List(85559106, 79164207),List(93898803, 11196410),List(33567154, 3160358),List(60752588, 78466407),List(31348586, 45533939),List(54594340, 56803995),List(81432797, 70291426),List(44029240, 74531201),List(78536841, 29708124),List(57474303, 11006402),List(85749548, 89263943),List(54327531, 12582922),List(60007018, 20810483),List(24210951, 94630513),List(18998287, 24367972),List(92904949, 52510669),List(99635671, 90945398),List(95478215, 63603289),List(52189728, 58848917),List(19004937, 54371888),List(34608298, 85488921),List(73534416, 79035838),List(14955839, 77543799),List(77065320, 59445138),List(45071490, 7120571),List(63330582, 62850935),List(28406468, 33375207),List(41255200, 53610901),List(49977411, 92585646),List(34544270, 19634480),List(59142707, 63500489),List(8524602, 40503946),List(93896752, 54519140),List(45481190, 42039112),List(14899033, 1555558),List(90513915, 43846191),List(29642953, 57509894),List(86298773, 14591817),List(24360047, 99754835),List(15927431, 21683063),List(29195434, 46397024),List(35686130, 38326249),List(67450746, 27499301),List(1124279, 27545004),List(61139978, 16703609),List(80494214, 89576518),List(471312, 46857308),List(65198737, 62839635),List(93335766, 86777769),List(71196662, 89816025),List(63878695, 24581781),List(76388699, 98439867),List(63982863, 40757394),List(57280576, 57174852),List(75760224, 27101120),List(86056048, 4003988),List(76157424, 89110239),List(64940368, 90059464),List(66567514, 15709608),List(81166270, 5780338),List(44179671, 71613609),List(98315238, 4842749),List(66706836, 47725616),List(16847389, 70189385),List(63452563, 16779598),List(92360851, 42029318),List(27324559, 50824937),List(3803188, 92318012),List(42328204, 87605152),List(87409288, 11267980),List(81709292, 75843184),List(26967662, 3282316),List(45545550, 29759619),List(61030601, 44620058),List(61332083, 44880448),List(87205605, 26014369),List(94037800, 4319566),List(42622654, 33174175),List(59051968, 63362307),List(78646972, 36274595),List(64092743, 10082124),List(98120125, 23878567),List(30262143, 58141640),List(76137492, 91242604),List(12639228, 48174131),List(41438704, 11001321),List(85178615, 123356),List(42971407, 19898580),List(14963280, 90941565),List(86394325, 77662184),List(34427447, 53233642),List(33140207, 55647618),List(40002412, 18470584),List(47816381, 48783909),List(41429881, 7703097),List(53647273, 78137253),List(69993453, 19667166),List(58271353, 65070005),List(34252485, 70142043),List(53720294, 60313288),List(67002765, 38562646),List(23244527, 19212927),List(10168887, 94207993),List(47303101, 77401468),List(69920493, 74688717),List(46411438, 96707534),List(80016866, 65646094),List(88406367, 53421113),List(81884704, 73155535),List(64727301, 35150427),List(43795390, 16838377),List(55083244, 85433788),List(76839463, 57809861),List(78718397, 20527604),List(11556888, 28215486),List(74082475, 48975680),List(40109180, 76898121),List(8049878, 66102757),List(55417317, 80022910),List(6324665, 77637575),List(55000967, 88095189),List(17040361, 50069769),List(26613842, 545182),List(25717479, 65526027),List(9830992, 8979),List(95834762, 58405903),List(497608, 96563915),List(52842790, 95924334),List(18786801, 55965973),List(3628726, 63137527),List(47799345, 95728510),List(62496995, 38771485),List(14362103, 41972432),List(73782153, 15886554),List(30533234, 96203),List(97789452, 28612508),List(24298692, 16089062),List(12604892, 37457312),List(4511857, 42820966),List(11564838, 16600548),List(81994559, 33033366),List(7187680, 41183542),List(57959227, 21333174),List(20779863, 38739170),List(33920830, 10163231),List(52991859, 25843360),List(2860562, 68759962),List(72709009, 40019201),List(55499879, 35162720),List(94049779, 70574555),List(69504788, 81646305),List(10006511, 28863728),List(94943712, 32254673),List(97727944, 38194942),List(23237966, 79321747),List(72714873, 91515863),List(9818988, 27221345),List(55300879, 32477892),List(8370292, 30772205),List(16111522, 85000548),List(40143864, 84253700),List(24445654, 72840098),List(49866860, 46914979),List(94774462, 6364911),List(35996058, 24344418),List(99178189, 94457619),List(12845488, 24094234),List(70505301, 47216953),List(48019480, 82024043),List(2683236, 31343588),List(18470771, 43521241),List(54317635, 36443241),List(7529279, 79636044),List(16988286, 38105941),List(38388653, 94775667),List(78088516, 36129244),List(16498286, 63743188),List(92482562, 21608691),List(78270509, 79120428),List(54745125, 33527768),List(77937072, 16412502),List(98195036, 56228934),List(74692604, 56591972),List(382045, 9435181),List(76465293, 67858932),List(39855522, 80338971),List(69497457, 4958534),List(45763828, 7356192),List(16722132, 81955566),List(18687472, 21532546),List(13710161, 96424821),List(4965150, 91631874),List(2350648, 79713318),List(68730687, 72727459),List(75525305, 26183454),List(32033908, 84983768),List(76146275, 84355461),List(45051216, 58630962),List(87710357, 46715069),List(92560047, 42234980),List(29984091, 61170619),List(50911937, 73618922),List(62369784, 91628676),List(47707689, 51224493),List(56626345, 24085041),List(2229086, 41168892),List(9260608, 21412050),List(21641894, 44410075),List(5063073, 30006127),List(57246910, 79717920),List(21743520, 29895943),List(32377572, 94156459),List(51606973, 8875357),List(68955035, 16564235),List(68029357, 83657617),List(58066312, 23265852),List(82818842, 6885085),List(36510022, 61143684),List(1693033, 13489159),List(54153329, 29649842),List(84319739, 24835813),List(75532356, 67099070),List(67902610, 51230483),List(30426628, 24521084),List(53170412, 44370305),List(6893465, 67816877),List(58824801, 98408576),List(87871983, 86084433),List(29736024, 93119433),List(69332338, 34595144),List(30182289, 93535189),List(54726523, 39022212),List(1102260, 77932562),List(32841103, 32005003),List(72143948, 86597742),List(45398142, 1446984),List(89501662, 47662003),List(75326211, 68751604),List(72471713, 535807),List(81369353, 79260385),List(73946737, 55462601),List(97323603, 63861524),List(1920365, 41045313),List(71302970, 8553318),List(80139129, 98846431),List(26347823, 81676829),List(32906313, 75003554),List(55504424, 12702951),List(3756130, 20424087),List(63278970, 3097963),List(6847586, 44459991),List(77473280, 98117695),List(48920971, 849123),List(80706539, 11951255),List(14671478, 42710426),List(56305716, 2175634),List(42526711, 67071714),List(80025483, 90065052),List(89759363, 44349355),List(2729191, 74223514),List(43085317, 43730607),List(86502817, 21937649),List(84402257, 93406484),List(34448727, 29013688),List(69782108, 66002982),List(4985689, 1008064),List(90565884, 15014354),List(72024423, 47003496),List(89785491, 52964636),List(84627249, 82762990),List(44235810, 92400086),List(39506979, 13453548),List(73372514, 48638574),List(63651389, 81862401),List(35682455, 69139056),List(31234733, 93720243),List(90339306, 70664771),List(89552294, 42508418),List(42455342, 66131905),List(30707365, 25348209),List(63581317, 23780846),List(60676114, 91750607),List(32085421, 12781302),List(55732185, 7449600),List(29918810, 81211588),List(6009131, 63930083),List(2164737, 84582881),List(55930120, 15305757),List(64720360, 54248510),List(70494618, 41874376),List(25800078, 4884514),List(6422521, 30914762),List(48507889, 25432504),List(44374426, 36729529),List(56320869, 17179024),List(8841607, 25643024),List(46467281, 52026239),List(90407629, 88224617),List(62269925, 45325227),List(47364000, 13051154),List(29303843, 83211682),List(22521325, 23039461),List(82519797, 97090060),List(43480821, 9115014),List(82758966, 67192631),List(28759630, 64091358),List(20980865, 29286419),List(32114295, 62909913),List(89405423, 8176376),List(3330744, 74779736),List(4189079, 27279314),List(39026459, 63040462),List(49843180, 21082938),List(10749657, 18505384),List(16184476, 97740132),List(25892869, 79892518),List(28511300, 97974921),List(41587623, 62361591),List(8372268, 76256074),List(61201133, 37569670),List(7548662, 72600443),List(56980341, 22840551),List(53183844, 47710120),List(29857034, 42520065),List(16490192, 77570423),List(12799394, 42880261),List(20317918, 76688618),List(12419246, 87665436),List(9664817, 15662324),List(53768778, 14677803),List(30341631, 8904292),List(94292000, 56823529),List(70041109, 68426850),List(2002274, 1585799),List(73734983, 73698371),List(47039521, 16359885),List(55066573, 73948882),List(31465409, 27337178),List(26766896, 89554100),List(38324335, 52990359),List(34658639, 26264605),List(13556821, 74708353),List(96553789, 13211950),List(30663157, 94967165),List(91571023, 59894068),List(30047000, 3400554),List(40459667, 19040735),List(20564859, 53493564),List(24819267, 26292729),List(10277675, 91482311),List(6951096, 66787565),List(30970227, 18768334),List(17929332, 36782940),List(61843825, 67445810),List(44858491, 51592861),List(51779670, 80979834),List(19091435, 85340370),List(2902412, 6241544),List(13900760, 84868523),List(77725204, 7471031),List(76672037, 51942108),List(21582297, 20430554),List(28538193, 8973198),List(17440104, 57533887),List(1573103, 81249497),List(42570898, 63094025),List(73401731, 65054869),List(86024365, 30404695),List(72343435, 57173243),List(81234452, 3394398),List(94240363, 13679512),List(10352061, 61694572),List(66398487, 92796217),List(48097571, 21795819),List(32636857, 24160094),List(65076238, 92057384),List(75360910, 2103134),List(3334006, 5393599),List(7510189, 20423645),List(91179987, 36991040),List(72929654, 32177908),List(30044046, 93947995),List(76166411, 80213378),List(23349640, 55080409),List(80661570, 20380201),List(66221045, 7536885),List(28712272, 80051837),List(84772011, 91988558),List(74840250, 68048173),List(55835952, 22227682),List(86862807, 10060163),List(13518596, 9821347),List(80481055, 6635159),List(79366125, 93373927),List(26771035, 27149994),List(33335644, 709506),List(94076203, 93223775),List(11687776, 99078452),List(34111920, 95773949),List(53643494, 18204313),List(24833370, 3186110),List(85876296, 76999980),List(17251643, 87156655),List(71964777, 31552111),List(58331022, 8494242),List(84012190, 46581472),List(42512981, 20630351),List(25260647, 50167256),List(51009442, 25334679),List(49899356, 91181629),List(41657626, 3200530),List(10819879, 83728102),List(68436915, 40082891),List(36713631, 23244552),List(48634116, 38092931),List(74981545, 30592940),List(77861556, 64150327),List(42614501, 9627885),List(96104958, 8121541),List(14289761, 8768255),List(87910881, 96846187),List(28361650, 22885158),List(99890859, 70398900),List(73455223, 50393519),List(3690167, 64878157),List(64331973, 87788295),List(52976824, 96596466),List(26813750, 751848),List(43676088, 47328768),List(88067890, 96038873),List(9779387, 17135312),List(61385172, 47193452),List(11358901, 43756054),List(3340486, 45244984),List(19102351, 11076734),List(12330844, 40501723),List(94228891, 46472568),List(30143932, 827250),List(73784963, 79142368),List(92770540, 91937765),List(85205952, 89608150),List(84519050, 43386539),List(64917730, 72910794),List(8092537, 3538925),List(50434866, 5380673),List(88971210, 42126890),List(18681325, 751743),List(2765595, 2898964),List(8027308, 68222392),List(84202294, 10461705),List(55841575, 96238052),List(66610831, 97654069),List(85456093, 11088562),List(95346629, 28037010),List(31808872, 51639845),List(28221391, 20121857),List(60584902, 48606883),List(34648775, 51854302),List(87008273, 76669615),List(97847274, 70900089),List(41954096, 384926),List(10944892, 65587172),List(98707302, 42236568),List(12444424, 64519747),List(44633108, 64417950),List(40013941, 36585806),List(71875349, 50059843),List(48244610, 68536359),List(31479764, 52337172),List(75198542, 87544356),List(60743055, 76583818),List(74021073, 67259750),List(28563517, 11040745),List(27866476, 91888810),List(85672902, 77082313),List(37223321, 67315118),List(10702393, 69816291),List(21172642, 29967398),List(55241341, 91362846),List(62627917, 89647902),List(85345703, 40770735),List(20825348, 73606940),List(44503838, 29337690),List(71941504, 69687846),List(56576741, 3893048),List(41717963, 67547592),List(80320726, 9433910),List(8853050, 2776576),List(47541988, 69688845),List(710207, 39103719),List(52781128, 50180097),List(3799638, 87697866),List(18277940, 73888829),List(89597146, 97559595),List(14366795, 94590427),List(4981796, 78223510),List(66685332, 10982001),List(76321994, 782749),List(44413980, 89974166),List(57968891, 54079332),List(73929393, 85741283),List(63148821, 82282119),List(69169970, 363199),List(70671717, 36565675),List(57467215, 93290958),List(84862940, 19502230),List(28729252, 70347228),List(19432114, 58164646),List(85786483, 72951911),List(10816362, 53223924),List(66883291, 88300519),List(44562860, 24593523),List(38941001, 37226903),List(19454455, 84638960),List(2885486, 73872755),List(17115508, 33645411),List(6009152, 36511874),List(14998628, 85023581),List(77553058, 87587852),List(63350236, 69920683),List(8377185, 67891207),List(2714853, 36090433),List(45726562, 30770077),List(71108633, 76690480),List(89801114, 22600970),List(16841013, 48293737),List(1747471, 2155296),List(14018728, 54047987),List(23761003, 1023234),List(17382455, 13634688),List(58850114, 9076211),List(61309391, 90225361),List(4380246, 74329847),List(20383282, 4492897),List(27496759, 51477165),List(7531563, 60635537),List(69642926, 53978020),List(69081232, 20657607),List(99749368, 28960643),List(37576950, 7643476),List(39037931, 81629292),List(36273735, 56684972),List(777540, 41808699),List(49352219, 23278120),List(81749755, 87614815),List(48185343, 29736185),List(82695472, 12161168),List(11142147, 11578306),List(56814689, 83220353),List(83422178, 76153232),List(33507780, 30260177),List(87110162, 26927608),List(22026870, 61693422),List(13324360, 42089946),List(77703964, 57290741),List(20716226, 24301942),List(79226475, 66642259),List(78229977, 90436198),List(11725472, 42975346),List(5025217, 57865540),List(85712637, 88767887),List(18235111, 53709138),List(5686474, 6846117),List(83880002, 98472211),List(58358694, 65119086),List(66491, 39003401),List(98927693, 26432980),List(31185148, 35565042),List(85679539, 1175262),List(63025409, 70609194),List(10504030, 5624422),List(22654624, 15144520),List(78051814, 63275422),List(65675142, 34273421),List(22390086, 58105893),List(58991052, 44607245),List(9211588, 68476296),List(6211012, 6936269),List(8139885, 89182401),List(36710073, 994728),List(73447285, 78367612),List(19207508, 65768196),List(53756286, 44193857),List(79601350, 7428480),List(38873811, 34599737),List(69939778, 2548836),List(4073018, 67185855),List(64662374, 23937758),List(99453438, 43431001),List(58802751, 77129),List(14108155, 52216311),List(21752811, 67535430),List(64731132, 24115109),List(50752662, 18476160),List(88337466, 88247196),List(25146778, 62069451),List(15280374, 27788681),List(58784471, 55156486),List(25678139, 35467133),List(77947223, 96476633),List(66184873, 82558835),List(83160756, 9736560),List(32171480, 54793826),List(11761820, 85303157),List(33996901, 88867190),List(77725142, 33623466),List(30094206, 60524089),List(30356888, 72638732),List(67301951, 2882896),List(44047072, 47686280),List(24331420, 32476214),List(98908242, 13088295),List(55970805, 71325334),List(3777900, 34144853),List(43407415, 89356842),List(83750216, 89388093),List(96524884, 91942378),List(34283594, 82978133),List(6541846, 62094628),List(34690303, 5554432),List(15940952, 70216240),List(79904167, 10660154),List(36629454, 97006723),List(37875403, 31510927),List(13836451, 6952604),List(49286093, 94831457),List(15455231, 88981839),List(78577594, 18868579),List(67156229, 64644275),List(82220056, 23001056),List(11022533, 95814420),List(1971366, 65874685),List(46044894, 35332274),List(24078158, 21262738),List(12756817, 40285043),List(62559845, 54444085),List(60379986, 98731334),List(65005608, 28863083),List(53397334, 43535251),List(64096614, 55601683),List(29380418, 26263657),List(93710598, 49178703),List(34845311, 35944171),List(24329560, 65658599),List(38694869, 38957632),List(71147252, 81571119),List(39325432, 5268976),List(18387485, 70699518),List(43434092, 61263815),List(96533597, 61221528),List(11215345, 32888226),List(87036006, 92643153),List(94028943, 71164779),List(86985227, 84027875),List(1504807, 90414431),List(1819025, 4318944),List(37061347, 97301113),List(93568511, 26179315),List(87424512, 71262052),List(53195968, 30406896),List(7550145, 31852617),List(97976032, 92426670),List(12215057, 2690380),List(34352082, 89597019),List(75905280, 90113861),List(22017844, 61884563),List(92896475, 80299673),List(90399563, 81145705),List(96498594, 98175634),List(68818332, 47544320),List(48451224, 86337124),List(55318819, 2019012),List(1097111, 93961495),List(31563809, 73739029),List(68355173, 82686653),List(85853281, 7862597),List(36894888, 62445006),List(7591338, 481269),List(69784904, 93729824),List(88797656, 92143021),List(20661509, 53640110),List(85410445, 67609160),List(27670361, 56549725),List(85241220, 43337885),List(54443772, 53960624),List(5427235, 57793014),List(75239748, 67402658),List(34504611, 45158244),List(51728247, 50630439),List(73198898, 26790625),List(8577602, 11385651),List(25705615, 13639966),List(31639912, 85661706),List(14292040, 75821487),List(77751172, 92096516),List(95342389, 96066687),List(36962116, 40885861),List(95071359, 87971744),List(77585256, 96323287),List(4898115, 81868749),List(40166499, 53697014),List(71280219, 74032816),List(56243491, 18527153),List(26133083, 16093664),List(76546998, 18941623),List(56734660, 95965099),List(44113156, 16139220),List(24363770, 92483746),List(77122877, 41916270),List(72304705, 70711981),List(41989020, 22065031),List(85518073, 23626072),List(55951160, 74468626),List(3230957, 19047492),List(43268625, 26781202),List(19309526, 83598653),List(85009465, 96968603),List(37277085, 71174980),List(68580103, 9362577),List(39284534, 13573736),List(44681794, 41150555),List(73453660, 71789744),List(8524363, 80779486),List(47104239, 51660795),List(11957707, 98256473),List(57001644, 3149179),List(90271249, 21594669),List(84422151, 49631116),List(8114850, 57187878),List(96455764, 26346356),List(11203220, 97874931),List(9858964, 87208816),List(82465554, 37843540),List(55264436, 63591261),List(26615729, 50406902),List(73276384, 18069703),List(42624647, 19917659),List(9945241, 58298999),List(3931947, 1294781),List(92349344, 65511457),List(46439976, 86905729),List(49284447, 7275274),List(12036458, 91165430),List(54355223, 34193034),List(91381124, 13179268),List(96406715, 51469016),List(68376294, 56314296),List(30208800, 19569338),List(9326433, 6084567),List(73104553, 21405813),List(37092937, 61951880),List(25427394, 26007847),List(8454878, 29816270),List(63936820, 64737201),List(19468549, 29956718),List(61123577, 51433748),List(62384420, 87575344),List(49124388, 52044417),List(44579147, 73201039),List(34424509, 45828544),List(8439271, 73761166),List(32025762, 55050669),List(91008249, 86366270),List(32070333, 37163666),List(20208164, 63044142),List(70009784, 69341047),List(97200294, 37127777),List(57080063, 42888736),List(18898609, 25355188),List(94074338, 84957648),List(81014442, 74591513),List(78145938, 54128778),List(80302585, 89129985),List(66813241, 25394387),List(98056450, 78957779),List(82170543, 8812994),List(84174989, 47802223),List(15002003, 58043863),List(77409568, 90455251),List(24540598, 52539013),List(74696280, 5588254),List(81850271, 26429887),List(88102416, 49010526),List(1311736, 91978760),List(90970138, 36516784),List(20198201, 96563633),List(70248988, 87688949),List(23210738, 33653263),List(29076586, 55597511),List(85023945, 18871782),List(79634205, 26628879),List(25538629, 15088800),List(37328801, 24489959),List(30954652, 73061628),List(74697944, 81797993),List(78408138, 2697918),List(31523831, 90700328),List(76925289, 59973902),List(90812058, 67298767),List(19627510, 12454498),List(8338609, 87054380),List(10548615, 41650087),List(30192597, 94816564),List(57642036, 94663832),List(6599319, 19044681),List(37161081, 8694290),List(56295390, 41361731),List(3368672, 62430149),List(38180204, 74930179),List(59703141, 46300700),List(94019944, 33703496),List(68213750, 88363511),List(65252728, 50436037),List(29935563, 56346373),List(40487467, 69801430),List(43739698, 24930750),List(99929708, 23419036),List(86655318, 28838374),List(34022423, 27274173),List(40475864, 68394827),List(63281976, 78208264),List(57509441, 73772240),List(37633816, 92474880),List(62179972, 55832217),List(62148383, 85058149),List(53569698, 32882762),List(40974245, 66801134),List(13368072, 52678936),List(49468830, 5785961),List(64072919, 37057463),List(46075598, 27668500),List(12099095, 32186688),List(53726933, 43057180),List(75501824, 93519200),List(64101435, 7429512),List(45968982, 20328858),List(47150412, 8670972),List(57355734, 64193164),List(94103376, 88638005),List(87664605, 67983900),List(94533331, 39043642),List(16076369, 96039138),List(3510863, 69854860),List(17211449, 6855565),List(85865467, 12069598),List(91143232, 52775522),List(25142418, 69881584),List(58477856, 29656419),List(38477724, 36844448),List(9008675, 60127878),List(55510430, 64210421),List(41876238, 93806334),List(48236814, 1758578),List(49505371, 80700754),List(56126902, 94025600),List(53061703, 14085345),List(67394238, 31574408),List(7840853, 70254412),List(93952902, 64623411),List(7555624, 9689376),List(46318801, 17141080),List(7112271, 65748393),List(45974852, 97671391),List(23190042, 10772245),List(80753748, 23352149),List(94867409, 34275222),List(37024389, 20284827),List(42117509, 34853510),List(99539593, 71543868),List(84838054, 78649017),List(39077481, 73690596),List(27109070, 32327676),List(81018266, 96062788),List(47450868, 49690035),List(87361919, 23279605),List(97966711, 9991218),List(79042019, 3156045),List(89806731, 73299316),List(6917242, 43272977),List(16385824, 92822862),List(85555324, 39679745),List(57401094, 16360509),List(42718367, 64679398),List(67360330, 77263056),List(93223450, 74846443),List(63910239, 22339194),List(97010431, 96787505),List(86517395, 98523191),List(93199794, 60885544),List(71378154, 59013890),List(70019520, 33277200),List(76859119, 73048527),List(74667341, 26305453),List(31072976, 52059072),List(71907271, 47209357),List(5791514, 57700516),List(82068822, 27653702),List(77529111, 86939881),List(62516876, 63022283),List(1014457, 58776399),List(72261811, 49746998),List(57416459, 74715042),List(84297352, 25464197),List(14405539, 61994275),List(44142301, 78174382),List(15536590, 69135068),List(60481217, 8445413),List(89692268, 31458302),List(87075428, 60608542),List(90167674, 29783397),List(3454639, 7828656),List(88110587, 9479227),List(4904089, 4517203),List(22766375, 24731956),List(28317964, 63628811),List(27356989, 91466955),List(89707853, 55712825),List(13822167, 82837666),List(21315128, 26170728),List(71827146, 80464924),List(81631626, 96145636),List(86319211, 46153381),List(74153575, 82433840),List(31581906, 55117159),List(4789818, 33797574),List(43118074, 88961788),List(50074733, 36248811),List(60093712, 10688262),List(95991159, 6609550),List(91678246, 31955422),List(81809827, 19718819),List(22882658, 59335436),List(11806529, 247088),List(11496235, 94530917),List(79124768, 13260474),List(66859321, 99632426),List(13741383, 10060144),List(79974409, 65518139),List(9944807, 56636845),List(57799693, 88448739),List(33441155, 66310619),List(89537393, 58740344),List(55539821, 7709781),List(21728128, 10160936),List(24245995, 33220027),List(5112403, 37263116),List(94450946, 66903327),List(86694619, 87115823),List(24267676, 71553137),List(17871576, 51937788),List(76523377, 98652367),List(938318, 5763282),List(56798826, 24419888),List(24530985, 89460229),List(16372917, 54421337),List(3890020, 36527746),List(34286464, 65913245),List(18073992, 30117698),List(58124139, 81780891),List(40425155, 51793932),List(12681082, 91803066),List(90681554, 60281678),List(68952802, 21352999),List(99324534, 98551853),List(17233464, 38027111),List(67073754, 88545468),List(90413416, 63031724),List(69238754, 4982427),List(95671177, 69232546),List(28232643, 58704901),List(30946569, 29079606),List(69614031, 78292848),List(75840406, 47896787),List(36451942, 77993481),List(1858533, 48926172),List(61762574, 77246213),List(73347291, 31530277),List(65406177, 47429295),List(59352605, 6610463),List(60603937, 53914068),List(74404190, 48064644),List(97405943, 6840721),List(55956525, 94271467),List(57309886, 47927481),List(70574292, 8877163),List(17663421, 91466173),List(64458188, 77676628),List(32358249, 26804955),List(27517837, 26520159),List(44364919, 28106716),List(70753902, 23306148),List(40443156, 57343765),List(82330134, 46535608),List(26728223, 98092109),List(51346194, 73852266),List(95896082, 56194466),List(3871187, 61365279),List(55574491, 90783462),List(5894269, 90700715),List(84077853, 30068159),List(94641701, 33580544),List(52215368, 65091460),List(59536279, 57630140),List(28005198, 37815543),List(88218634, 71253066),List(6238739, 56711408),List(92192862, 99347783),List(73619345, 59998213),List(93640545, 96988824),List(39281965, 14591226),List(81433574, 11046831),List(24696730, 23203446),List(51641923, 21397032),List(57519277, 94454163),List(68635301, 33526985),List(86893372, 48340832),List(60761947, 47695532),List(88362036, 87557069),List(7768824, 95442362),List(61139854, 60210583),List(10103717, 63877919),List(55863271, 6462564),List(39813967, 8799581),List(91249559, 43665222),List(66304050, 69508675),List(68158899, 72792575),List(44695034, 57005401),List(71241378, 9257590),List(21584677, 32380591),List(8087658, 43071358),List(49229601, 24528725),List(95532750, 51626035),List(13598531, 95537865),List(79216270, 7345397),List(59074199, 17861816),List(52492975, 8474032),List(88571487, 30825153),List(28757877, 64219337),List(49589359, 51505043),List(64566081, 54719251),List(9108838, 34976982),List(27772749, 36938139),List(29146132, 75549982),List(68752853, 86295858),List(11601335, 70789558),List(78264546, 88312977),List(14407930, 77050409),List(516231, 73479185),List(32929642, 18594891),List(25721456, 7064233),List(51165251, 54699536),List(43044586, 65961950),List(78429361, 23737709),List(15353739, 17516343),List(2495904, 23795434),List(37830104, 50263572),List(87333588, 57062255),List(15643175, 49165266),List(46791072, 74306753),List(45849586, 76440225),List(35545893, 79103121),List(7138026, 75583284),List(90423332, 16770768),List(31430205, 83286795),List(84676470, 34084803),List(69058167, 99480194),List(94144153, 61517994),List(14350859, 86221994),List(53927857, 83122029),List(27442647, 47943340),List(16570883, 78137043),List(18051142, 6428984),List(78746417, 48952313),List(12611585, 97488767),List(60887022, 2232600),List(58462567, 55403256),List(1862285, 25955237),List(72969362, 83314261),List(27950180, 64962558),List(24321369, 73491313),List(84563785, 43650640),List(49704450, 37052030),List(59219733, 71272569),List(12794730, 99592394),List(21666786, 81915748),List(57778767, 85345679),List(46623264, 69979394),List(70185726, 90895174),List(2857568, 75388040),List(75390078, 55444285),List(27739029, 64505879),List(69826297, 98931582),List(24219236, 67097580),List(78787643, 33784639),List(76985837, 11373414),List(5620044, 14187597),List(32508990, 17872579),List(72006366, 55730878),List(98872644, 17046614),List(8751813, 43992661),List(37118998, 95678408),List(59178957, 25308900),List(85734382, 9614215),List(23266701, 18647475),List(51162877, 966433),List(22164991, 465693),List(22044594, 30053828),List(14197483, 66433700),List(35407956, 91650816),List(43180734, 60334766),List(68510770, 23952484),List(41647788, 47531905),List(7801550, 39228065),List(25867008, 62023518),List(65719913, 45421012),List(3873904, 88187474),List(51871849, 41406941),List(76149438, 18386944),List(61469857, 99510900),List(3494102, 60618155),List(34443987, 78937806),List(58293313, 49987809),List(75997262, 95814508),List(67311423, 66253933),List(78440891, 46322655),List(86427907, 25242316),List(13790847, 61432574),List(44088863, 41937448),List(5599649, 87816209),List(22198645, 46306196),List(29671646, 13878463),List(64692221, 20438347),List(13351189, 52504405),List(96817597, 75422273),List(55851677, 49319751),List(27075064, 33689304),List(93732627, 80776843),List(10369700, 18779255),List(84603630, 33603975),List(10196539, 5798831),List(91165551, 46436136),List(27569557, 49776555),List(81502185, 76516464),List(33768078, 54029512),List(85983541, 20587090),List(67966015, 85195939),List(71269087, 48607392),List(93475879, 27160639),List(67784504, 63566217),List(63102677, 33216930),List(56484450, 20221865),List(52915975, 81833009),List(43428906, 80173624),List(87300799, 58637443),List(14336426, 51922611),List(76952287, 51928894),List(90620830, 37831967),List(63846920, 96917177),List(42717987, 65921209),List(84827438, 33193905),List(94319811, 32279168),List(47327194, 20100160),List(83402693, 45248619),List(26664393, 21581286),List(90242567, 87473001),List(53928357, 74953591),List(11681933, 90066981),List(95544767, 94945892),List(60605322, 79478108),List(79743609, 79295086),List(2293067, 51604419),List(32387392, 60862278),List(39737302, 61631413),List(78954660, 16554753),List(74470307, 52458504),List(9019793, 4572569),List(81424711, 40149126),List(13033210, 51311869),List(44641051, 49598393),List(82989873, 24847987),List(89135196, 23461553),List(67042475, 18297134),List(94468266, 40073099),List(76339830, 84143119),List(89170945, 53440754),List(64044895, 69367459),List(15534585, 38268459),List(61248407, 86453996),List(4805300, 9981821),List(30198871, 63435320),List(34138360, 96469659),List(23305619, 96626430),List(97050431, 28263272),List(6740343, 32554532),List(56985292, 48933655),List(30646296, 16621545),List(79284493, 97304856),List(92111277, 48304443),List(15511134, 18505288),List(89635736, 93868550),List(8193007, 39764632),List(7710905, 90970895),List(79614682, 99174022),List(5683866, 66548964),List(3351091, 35929790),List(82056341, 4900555),List(34424946, 37268228),List(87043148, 45390552),List(17591045, 8025683),List(7654837, 53995657),List(13624825, 50657286),List(32983537, 74294665),List(48923682, 4179824),List(40237772, 5480606),List(45465812, 34948958),List(22584594, 15600349),List(2950144, 94270110),List(44993708, 35738769),List(73438342, 2179438),List(79008364, 93269868),List(98730284, 45700241),List(48935797, 61008351),List(68581631, 56471200),List(17712884, 69410358),List(32884343, 44160948),List(27289831, 82800462),List(93137931, 94273321),List(63100431, 7616414),List(80839700, 34947247),List(51358871, 77954790),List(62167214, 83600918),List(16763271, 7756059),List(58644260, 46992186),List(92541812, 22053886),List(94188262, 38496188),List(19528101, 64080904),List(62908041, 94863029),List(70270389, 39539324),List(70865226, 92232038),List(79508161, 90868142),List(67103028, 70490916),List(35533831, 73646483),List(39400203, 43519146),List(4610189, 86661014),List(31071744, 1693046),List(10020493, 67895843),List(3515146, 26451033),List(76544351, 58944219),List(92016630, 67862739),List(12207977, 26813555),List(78711712, 35335533),List(79752518, 90506741),List(89307362, 2340278),List(96548177, 46784323),List(69615735, 68673983),List(89053608, 29596418),List(53166036, 55067985),List(41199952, 21160844),List(38119740, 29106736),List(15748375, 40729707),List(94407999, 66167501),List(17598267, 70000210),List(48738356, 30675931),List(88505269, 4438709),List(50585436, 99436948),List(58533583, 53616520),List(70964488, 23842763),List(61953377, 20449487),List(15919623, 54407103),List(3788293, 8197811),List(20645886, 46448583),List(31235297, 43414676),List(24667368, 33830549),List(57063220, 16371668),List(21755324, 4029325),List(99262631, 39905319),List(17885621, 10368374),List(86643507, 92789001),List(83643255, 42987203),List(11711535, 43813122),List(84598274, 61490279),List(93253807, 8813822),List(38466761, 45552463),List(20641060, 50555831),List(99945362, 89379049),List(38756275, 50355744),List(34592059, 79402975),List(78608255, 76620694),List(89153549, 49689118),List(10831780, 54647345),List(66404383, 74753932),List(44849772, 65547255),List(76601000, 58971145),List(53380024, 40393689),List(32465613, 47488751),List(77640294, 47354019),List(57411875, 14548363),List(95165276, 25730564),List(9615464, 35002677),List(78344247, 96585014),List(89525916, 71346620),List(41077883, 90502501),List(17702931, 4733077),List(716832, 51130357),List(97583775, 54050948),List(74691685, 92144),List(94693121, 35186744),List(40838493, 92416293),List(11482668, 22358897),List(4279889, 20331397),List(1913017, 57552667),List(41357944, 61693146),List(61144525, 73656808),List(82892497, 44355051),List(2305741, 23170100),List(10967334, 71134937),List(98733858, 92434128),List(7186972, 56210339),List(11563793, 63658036),List(93728057, 10419036),List(75702833, 36392627),List(57810016, 81530921),List(49242326, 5506723),List(38523633, 62299381),List(55932894, 998553),List(56481984, 8200816),List(42751087, 48554864),List(94160160, 62613020),List(48234698, 89033753),List(57871738, 93690653),List(83647685, 72193515),List(8496037, 24718430),List(89798949, 17669286),List(9409414, 27492436),List(11195966, 41104915),List(81805419, 32967669),List(61489317, 68252568),List(40129701, 19048678),List(63793942, 36510949),List(73039349, 6250976),List(56518537, 37579202),List(53501492, 70566829),List(92212086, 37303365),List(25471337, 12246578),List(95868636, 75807896),List(91567521, 72622013),List(51846564, 5144833),List(24292664, 26596455),List(71377787, 44745789),List(66855620, 99750660),List(45823708, 15902700),List(24078452, 81976867),List(46618315, 94482372),List(26406485, 75145152),List(679926, 33543855),List(77109258, 26900910),List(4971023, 19244883),List(59117865, 95013405),List(18678570, 35631733),List(15622193, 3980570),List(50991392, 27589433),List(4308228, 78654052),List(19487205, 81928602),List(29006556, 5210112),List(66811339, 62705520),List(9686106, 47900050),List(85394845, 54601729),List(44133813, 68669082),List(33094590, 89283435),List(49864617, 89279422),List(1208283, 84473513),List(53113736, 30600118),List(48376625, 92072213),List(8492878, 78581381),List(64115984, 10370347),List(54132171, 2706514),List(58029246, 59757620),List(58651253, 46108604),List(49950308, 45499866),List(81175839, 68544426),List(19814209, 36334856),List(56842233, 43432458),List(30099192, 26089019),List(90042788, 69266785),List(17315133, 14785975),List(97222851, 60933696),List(8462324, 22509862),List(41135105, 77793611),List(77134284, 636133),List(89390198, 59370258),List(30301936, 58379651),List(55198607, 34476782),List(48468007, 52205674),List(53924439, 70412340),List(63343918, 47575417),List(47664069, 82051700),List(24723138, 23666408),List(73674315, 51609759),List(65761435, 88202819),List(59553941, 38980768),List(67811223, 27494743),List(5636948, 97390021),List(7365040, 10141029),List(86364924, 29634953),List(71140444, 40501420),List(12472576, 72338690),List(91818669, 78952539),List(41819551, 67415589),List(36206726, 20121174),List(39871207, 82057004),List(51629444, 39453542),List(56188710, 14060883),List(43219692, 9063617),List(60859117, 20171925),List(85438525, 67384044),List(98595457, 31514353),List(50801115, 5359975),List(54218401, 82902109),List(76466737, 67842708),List(30817717, 4627152),List(72441240, 26970171),List(6289098, 8797724),List(69050848, 76705010),List(58712063, 92177191),List(70844187, 2732135),List(29733049, 89918117),List(77804231, 92759293),List(56908762, 84621649),List(49819246, 20515096),List(39831109, 49425966),List(77489012, 23048606),List(38060464, 6217200),List(64816945, 9761230),List(44914303, 97314352),List(95862827, 86283118),List(64827952, 57871861),List(55810313, 8795021),List(35874417, 72234136),List(76495373, 70011294),List(39824114, 53743240),List(44528723, 70680581),List(3418281, 11321487),List(62213553, 62915410),List(49302775, 77505958),List(93321465, 31914311),List(54029803, 32505170),List(9753991, 72412459),List(11763044, 7248910),List(55034322, 73706085),List(49629601, 85699988),List(25050370, 52277595),List(79919825, 56099342),List(86160148, 33082524),List(62379567, 86229403),List(24566524, 29768931),List(34428363, 80183637),List(1418183, 76356151),List(56238792, 99067613),List(53797851, 4956748),List(56846393, 50469826),List(4075283, 37682766),List(43578600, 4788145),List(33845375, 50008362),List(18522018, 67890078),List(33840522, 20523500),List(15784626, 99768817),List(74135701, 98332767),List(42937725, 25899537),List(16403313, 43448796),List(1991247, 46626925),List(26943642, 28560754),List(54356187, 99232683),List(41787671, 42186621),List(70809390, 33937193),List(64417911, 47467805),List(66788259, 34047018),List(13711525, 19680065),List(32450048, 46842381),List(87305572, 18312042),List(16068646, 49326897),List(58258943, 52844785),List(17208684, 18741705),List(96499587, 75722392),List(75989344, 78187079),List(34397473, 77390330),List(18551737, 52015449),List(72644959, 94164783),List(92489646, 7602930),List(22937083, 33814697),List(50317402, 75145159),List(17160840, 97420723),List(69903353, 3127811),List(40023509, 53334468),List(80156195, 62243836),List(62143994, 40594554),List(93218258, 74995352),List(30434807, 6515157),List(88604551, 74026900),List(44204014, 14169299),List(55796937, 70421437),List(66400757, 39773783),List(27970524, 11216056),List(54761605, 20354719),List(95042271, 16819240),List(21696453, 66686823),List(75489729, 97639760),List(41599255, 77842446),List(76389707, 15371322),List(94649182, 54808601),List(83406872, 3700327),List(12815551, 39936262),List(43394218, 87361553),List(90259994, 40863455),List(51071167, 54546889),List(36597360, 53222146),List(40974987, 59645559),List(23541927, 66311350),List(60646949, 36543727),List(20900432, 83130185),List(20311267, 84024196),List(53226170, 16363048),List(4715606, 44836626),List(95983613, 84252916),List(46727480, 54469132),List(70287118, 24744765),List(94203609, 52947607),List(36782051, 20504036),List(64347031, 78277237),List(8059783, 4636315),List(21855377, 22219821),List(71223810, 65789043),List(67564608, 49706681),List(46490191, 27857413),List(12978278, 41774764),List(37460918, 10457611),List(67495673, 18888081),List(20625268, 75519503),List(16733188, 43045027),List(85495059, 10701257),List(9856007, 83607871),List(33412775, 63505145),List(73182614, 34015249),List(27499207, 83779739),List(56855358, 57192165),List(75928111, 68844604),List(76898141, 35072338),List(31254135, 78339205),List(35765824, 1440225),List(65654404, 18310968),List(31568483, 54864187),List(55047142, 71116135),List(96778620, 7951827),List(47924237, 62038772),List(62755837, 19296223),List(86493532, 41146319),List(41127850, 54197424),List(57217454, 6546035),List(64364434, 38501771),List(75723289, 56281731),List(50582670, 67690266),List(20406275, 78236560),List(25075669, 4196950),List(9667907, 23834251),List(11237115, 1295613),List(96649204, 54490283),List(33184476, 66308114),List(75749422, 61159227),List(4407895, 79471506),List(11502448, 30805837),List(60943552, 60097193),List(38391716, 95542662),List(33679369, 95527229),List(78297693, 42918472),List(9162809, 54466205),List(62416746, 16019252),List(51863942, 87171512),List(34141788, 69183550),List(85725819, 49673664),List(23906309, 38411459),List(28622570, 89825916),List(45999790, 33473113),List(28341703, 82574882),List(59715991, 94917550),List(23917846, 40822346),List(84241568, 22319299),List(21664067, 12098678),List(67121697, 87589883),List(20171845, 10689838),List(91034575, 20400569),List(24148641, 29062852),List(71880603, 49055910),List(63035160, 63394847),List(43017955, 35551793),List(75973773, 32341612),List(98009548, 7405934),List(56284151, 29441990),List(11026284, 99688984),List(6909561, 13519161),List(17827399, 14359856),List(65374344, 5646664),List(25057320, 62926802),List(65230757, 38103224),List(61318817, 69966660),List(60816070, 63629674),List(43622664, 52717482),List(14659196, 77303531),List(74310196, 47308481),List(56922591, 92377858),List(74107639, 80814439),List(88772249, 79935445),List(58660118, 24458693),List(45032235, 90263924),List(49204029, 9310629),List(41736852, 8242163),List(15632740, 93872181),List(70422829, 23499229),List(33760119, 65434010),List(534464, 20123030),List(67947504, 36406612),List(12276779, 37227984),List(1122012, 70697161),List(47967477, 3664719),List(63378437, 51163134),List(76037200, 71212041),List(94466343, 95599246),List(21325175, 95002882),List(24981841, 12895087),List(51599105, 51619083),List(9100288, 72344659),List(1151578, 61957676),List(68091414, 13231233),List(55864123, 24177623),List(27859409, 90631232),List(19358569, 77306805),List(12706892, 29694682),List(34711524, 89507557),List(94850379, 70973701),List(3877784, 10611430),List(83685434, 18392437),List(48542982, 92285205),List(84934024, 78277783),List(22914106, 27123796),List(55667512, 8045538),List(27102321, 52197145),List(94914556, 74918416),List(9619334, 57660288),List(9814538, 42593540),List(51820529, 49909534),List(17611090, 41377327),List(4752821, 46295817),List(70176796, 29919149),List(2013965, 57773767),List(23970332, 9504172),List(79661956, 46976667),List(55543254, 91672774),List(29518121, 75203148),List(115066, 93520403),List(89526390, 31234130),List(77736016, 76896241),List(89752270, 61030290),List(69849858, 51719396),List(97106521, 30783772),List(65690155, 1931927),List(47544953, 70729700),List(25398110, 98324030),List(16037989, 36008935),List(30917336, 77871410),List(62218582, 14243971),List(166629, 96026327),List(22408118, 69642867),List(59360522, 31285376),List(84157212, 91936974),List(75904191, 95154941),List(21920110, 12357985),List(39936913, 4178435),List(75246619, 38198093),List(11387, 47393473),List(99500078, 64093704),List(1183849, 6058432),List(32785055, 72830497),List(97462858, 14491615),List(84212381, 68620074),List(73366728, 44861073),List(75210321, 50726029),List(72056168, 4735624),List(19437005, 10227136),List(21826698, 8217351),List(70878640, 15312084),List(86864715, 60830198),List(11578303, 47414045),List(76384581, 94065204),List(77633709, 80616374),List(47063135, 87849671),List(22142698, 14376593),List(98184675, 56902356),List(30556737, 56407936),List(87406392, 25234854),List(70304564, 20316004),List(90673201, 46036736),List(27091255, 44713321),List(49117850, 67735815),List(91724872, 34095918),List(35705829, 46510401),List(76256018, 56861217),List(4289950, 72790187),List(9054135, 79760694),List(66585769, 72122270),List(13379084, 54770189),List(53514688, 9750512),List(34868998, 77643593),List(6490956, 46410995),List(92003173, 35204995),List(50721695, 62554671),List(79001747, 93525726),List(64337834, 32070208),List(30362635, 71475109),List(57283556, 20509860),List(73225664, 4628059),List(48824173, 49670014),List(87252398, 32926316),List(33731826, 86438768),List(23678389, 74780174),List(87973521, 23866245),List(24116860, 78366972),List(72754655, 9744897),List(32488607, 75475555),List(15282110, 52609317),List(96793767, 68450601),List(97467103, 33395573),List(75695194, 32391975),List(86962031, 34469520),List(56589983, 19491456),List(21099251, 16990651),List(89987102, 77583097),List(10912274, 31722462),List(56823333, 22835225),List(7542762, 8799918),List(10216914, 96732055),List(76218796, 16634392),List(17874560, 61871517),List(62361097, 14481116),List(16152001, 159695),List(11076479, 11534891),List(65688123, 51424893),List(99502371, 6473219),List(53120069, 72333572),List(83834014, 52735118),List(64056544, 77593346),List(77645297, 24082779),List(60399135, 84912333),List(39939244, 26827908),List(81769247, 86441593),List(46707274, 34553921),List(29183007, 33372390),List(89321234, 94379938),List(50330021, 9075811),List(87145622, 48483522),List(16225764, 40865872),List(24082509, 3919874),List(70045941, 10988690),List(87751610, 88054391),List(70385965, 57453739),List(91345767, 90804006),List(48440013, 91445302),List(76905292, 78918876),List(18509608, 45182061),List(97463422, 13887675),List(55316983, 14616756),List(58705866, 32146275),List(75154259, 28102510),List(2999298, 88549166),List(92980332, 60997667),List(41217694, 62639531),List(23894764, 93470357),List(65627940, 82251293),List(28524789, 82971382),List(32449170, 16971689),List(71012670, 61169503),List(35720740, 29743077),List(2229965, 36277809),List(27454031, 4531969),List(72584970, 40849102),List(25895756, 73400793),List(24004055, 80158640),List(83040765, 70713811),List(55180284, 26468464),List(63884494, 40333010),List(56094174, 80961052),List(45941252, 11237588),List(92809822, 7941158),List(94140595, 75263129),List(90758730, 90470669),List(4080565, 38611858),List(79892268, 1252275),List(1010762, 25546738),List(72882114, 48966726),List(22004897, 54539236),List(78333572, 46038085),List(64022871, 66029150),List(14011474, 52000595),List(14114724, 68979616),List(25205058, 15445308),List(113076, 14859316),List(99969107, 74951526),List(2342361, 83907816),List(33570211, 59477111),List(88066618, 83806249),List(73423513, 35748534),List(12342398, 55610856),List(41046417, 4750639),List(87718099, 38905091),List(47673019, 36651417),List(26187589, 47130929),List(12341307, 51866209),List(99434556, 23493310),List(18794643, 22354424),List(1263132, 60834916),List(41881903, 98073823),List(44091804, 50568462),List(70883923, 84558097),List(3033306, 79685017),List(76645189, 85722501),List(60277760, 64524116),List(1621945, 76085115),List(40838891, 78111065),List(21142713, 57391876),List(70225952, 22525012),List(74560678, 21616537),List(40710655, 72995272),List(43970427, 11499221),List(73013753, 64967892),List(69346178, 25095489),List(67449712, 12589532),List(99463937, 30852900),List(25093014, 97019129),List(17476555, 89231006),List(72334867, 71908223),List(41188466, 40805715),List(55344861, 41066415),List(7765666, 51910623),List(79325143, 39225863),List(69022131, 41862235),List(13220688, 41705670),List(59931199, 12875142),List(10672646, 40971750),List(56842236, 71513730),List(98815279, 75627241),List(38341301, 71576895),List(69235462, 68479265),List(52987947, 43745205),List(28296161, 29237979),List(78683920, 32559529),List(37104302, 85208864),List(22359411, 1949197),List(16968924, 16424322),List(36002724, 98490961),List(68308708, 84113331),List(62580680, 77983375),List(92925335, 71680874),List(82703322, 92661379),List(63358566, 21755871),List(53959940, 93731977),List(31379124, 16795451),List(30690354, 38921072),List(60316521, 23337876),List(59790291, 72753370),List(79570867, 19821063),List(77923691, 26494087),List(90061283, 4476483),List(8652736, 73406986),List(55132399, 76812755),List(25111979, 33669807),List(57960851, 61248392),List(90736873, 6203368),List(26953055, 41578005),List(52484576, 39108957),List(582825, 70434895),List(11265542, 64392411),List(67772913, 13905379),List(26384833, 24186735),List(23389773, 56517180),List(16605969, 97708636),List(97178620, 93276663),List(70921852, 15736521),List(46933138, 3578739),List(43374083, 83157778),List(94918225, 99724649),List(6211072, 45018857),List(755592, 14107415),List(74711670, 49320147),List(27307174, 73846965),List(857880, 60875235),List(17208999, 65419936),List(8226877, 26810622),List(32776293, 98297451),List(547044, 99922852),List(75057666, 93739222),List(3923282, 56626655),List(75825911, 34904894),List(65349675, 70357935),List(87323299, 55089706),List(22985373, 31504841),List(4540533, 28525968),List(46049212, 70476939),List(62780227, 98416811),List(79494854, 45225746),List(79313713, 63825191),List(28174167, 66884372),List(36691788, 34872432),List(38301276, 83793111),List(22799114, 97855846),List(19847892, 89647423),List(97556358, 18528762),List(85664949, 26361513),List(27258027, 88684983),List(13075774, 18910262),List(4801059, 21496504),List(12822046, 46717183),List(2290878, 64053702),List(16883487, 56195984),List(92424832, 38304753),List(26179362, 38554393),List(51955926, 55038705),List(69237468, 2276977),List(50562481, 3004576),List(2804648, 3051081),List(77622279, 92028096),List(8252240, 3685740),List(59014100, 34168856),List(84324018, 8077260),List(53097941, 84808650),List(90494853, 77649495),List(86869718, 74047818),List(3377032, 31607441),List(31887511, 24518991),List(88380395, 76121483),List(7436846, 36311249),List(20715083, 65658358),List(54764860, 87955387),List(1876930, 78682411),List(64492421, 24778502),List(41931271, 70078069),List(19382248, 65027481),List(25273237, 83485925),List(55163252, 49538254),List(2211494, 92426555),List(42730753, 53589021),List(50836088, 12738935),List(11651594, 82577224),List(13953714, 9928037),List(20904574, 7814246),List(95873934, 91725785),List(62431539, 16460310),List(12400054, 50428099),List(77655896, 18572148),List(72474729, 53529318),List(70683707, 70580831),List(151069, 11907482),List(3888598, 23442129),List(3336430, 58465141),List(88881776, 12350761),List(65128547, 6491213),List(4600, 21721811),List(53866042, 33272782),List(28412095, 62826195),List(7780435, 3553544),List(80322846, 99832767),List(34186970, 8870388),List(95125033, 18547668),List(60843822, 24504253),List(90629965, 87614288),List(34159140, 47710191),List(48136378, 83744616),List(17514202, 36624594),List(77067326, 43378235),List(94587325, 40667574),List(65673630, 68754833),List(84218036, 19188274),List(10838688, 15320505),List(51967830, 98972537),List(16607561, 4462420),List(62818462, 76926014),List(58296334, 84679133),List(19337851, 12827617),List(32925254, 4582484),List(51635676, 6175505),List(97788532, 30787415),List(19495121, 32432336),List(12398897, 84785232),List(61999595, 5988604),List(68690814, 61603217),List(21101854, 21699641),List(49529110, 57944719),List(69546254, 3172203),List(89553729, 78266267),List(66183800, 49217395),List(15381995, 58434287),List(39050987, 21903241),List(94370738, 23785920),List(57670393, 89782243),List(21973470, 96789553),List(22724846, 19141180),List(2320280, 97405964),List(29485910, 86963244),List(57857490, 66002665),List(5076294, 85992339),List(71790814, 49624155),List(58896431, 30986114),List(3895839, 34174799),List(54735548, 22046387),List(37974758, 95707049),List(24484030, 19059123),List(21415122, 49790153),List(24487716, 71960170),List(18799778, 58381159),List(58918598, 4682672),List(51360053, 16713846),List(26984217, 79154203),List(60332708, 75482917),List(8228960, 35794686),List(65291133, 76681868),List(55114270, 73590075),List(49927756, 85699588),List(57191056, 38414912),List(32054032, 64573703),List(91319899, 11281445),List(77591102, 61403421),List(63386957, 94442852),List(52152070, 85232128),List(62451797, 36985930),List(23299520, 87661354),List(51228751, 26878828),List(42962269, 5446895),List(53590643, 79796100),List(98717460, 3630859),List(43136435, 6940228),List(42916305, 48263217),List(96048041, 39309503),List(47509317, 18401520),List(38960125, 60178050),List(24583257, 78297867),List(57534411, 46831970),List(96420018, 7071903),List(3623809, 76898),List(80172126, 68710952),List(27815549, 17781414),List(34456619, 60518963),List(18018733, 13113534),List(13431201, 29304464),List(45152261, 37637746),List(60866933, 49522957),List(71275124, 17057242),List(56328673, 20649833),List(89917445, 42780854),List(65996380, 71351815),List(53706646, 50825574),List(51214605, 16933228),List(19270790, 50829376),List(24279288, 33832293),List(23125542, 23985927),List(95286554, 30765330),List(99192593, 29266513),List(5856116, 61175192),List(6552559, 86332124),List(51683152, 74866180),List(93538096, 61553096),List(39505310, 81209706),List(34126940, 10601408),List(75646191, 20101182),List(60456027, 34861453),List(17451815, 25179410),List(54071384, 3684490),List(55205217, 85400898),List(23102559, 8066534),List(60074265, 77137077),List(83146143, 56311243),List(34183670, 34196978),List(55252970, 31111012),List(53231252, 25098002),List(22905673, 13434486),List(53707879, 79508696),List(69691838, 76499885),List(21655564, 11930063),List(83637231, 87457782),List(1634067, 79072125),List(40355721, 56095658),List(62906051, 65575465),List(83848389, 25941032),List(1979981, 29893778),List(85588853, 48831639),List(94874343, 5556643),List(96529266, 13148358),List(95107875, 14571331),List(55923646, 21036843),List(408522, 45764401),List(59257917, 99517816),List(81175162, 54817619),List(85785812, 35337228),List(6617300, 21569052),List(80397542, 35992503),List(76584427, 47530417),List(41007673, 93196903),List(29348558, 35440519),List(47370894, 20003776),List(24264887, 45961504),List(93222588, 16234903),List(42999404, 25130977),List(26773562, 96914210),List(20094839, 67918370),List(32801347, 82045953),List(15534291, 278798),List(6162333, 13868698),List(58848859, 53581857),List(33963150, 84693879),List(25582381, 43792397),List(5456980, 99519065),List(19807192, 18348698),List(30004914, 28237541),List(19806518, 38525138),List(55739620, 9706591),List(35676509, 89336058),List(657285, 33128007),List(62194705, 21155702),List(39462773, 36729066),List(28058618, 98963766),List(44402914, 77607851),List(47509218, 68097759),List(13339385, 7221988),List(50813601, 10446512),List(88832897, 79897794),List(63366821, 24866769),List(92155892, 63565481),List(74052509, 44783377),List(62509359, 55423325),List(52007956, 62713520),List(94673381, 61514249),List(8969353, 75163641),List(35208705, 71224477),List(11614533, 40423765),List(50320129, 16173585),List(51551405, 35684289),List(73579797, 57541789),List(21040279, 46145753),List(51249552, 98491085),List(64522624, 75088439),List(12874901, 25621975),List(95498732, 39468505),List(26967220, 36382550),List(53937669, 62169909),List(72357542, 58583822),List(21856829, 77265201),List(71648231, 72175367),List(9382271, 56492921),List(94573223, 23154506),List(35987258, 18299141),List(43506634, 70028448),List(94173278, 23627126),List(97321502, 79457971),List(89077551, 15989217),List(54923152, 93517271),List(91402935, 41331287),List(89190169, 99805637),List(99636592, 96868971),List(99749661, 637155),List(12750645, 96223874),List(20138565, 96077884),List(46267618, 64013847),List(80260492, 86735115),List(72673259, 59929699),List(60865942, 68710300),List(24508131, 55923022),List(70168417, 11461911),List(94139523, 14480550),List(20492648, 23821289),List(35495081, 78098786),List(93486440, 60134507),List(70448376, 1006300),List(38121971, 59927596),List(49836299, 68519145),List(82298529, 37514308),List(58112459, 37045523),List(56794048, 77658069),List(93617459, 85620262),List(95617690, 71145513),List(95146110, 84451136),List(56645995, 43726863),List(50849506, 85375709),List(629435, 48567033),List(70547181, 22317988),List(9864928, 93338516),List(71612504, 94833514),List(97841367, 85507391),List(83784667, 51845521),List(2343450, 53472595),List(1724987, 21473523),List(63196306, 80606429),List(18956593, 17765439),List(2575766, 4712109),List(54222354, 70698838),List(65706331, 39222377),List(19634037, 77034395),List(76214613, 89721308),List(23177269, 58192296),List(7088184, 80480225),List(69541789, 90846454),List(18475593, 71151200),List(12545276, 1209815),List(20540983, 29104106),List(5918429, 36215067),List(7443238, 18663717),List(97799217, 28760631),List(92699630, 76780058),List(35810155, 73834975),List(27831693, 81406897),List(58185920, 1380586),List(12654719, 63929792),List(96903899, 33961204),List(31733317, 66861484),List(36140333, 13090000),List(34696553, 74402317),List(30828698, 42955647),List(96777876, 33743852),List(19085952, 37265536),List(12626193, 74061323),List(87465262, 55194823),List(97497336, 28868616),List(72488908, 89386599),List(97721988, 90023271),List(98441112, 20890220),List(67954498, 95208401),List(17426697, 21738824),List(16680500, 59199597),List(62595489, 51507964),List(28482699, 26379230),List(60488237, 40288474),List(90586719, 82123648),List(11785383, 58242104),List(65965661, 23025353),List(10297436, 10684728),List(1431861, 1040845),List(14610309, 99948346),List(30260356, 47347195),List(31647388, 20539567),List(37663831, 50878707),List(96086209, 42883411),List(77014412, 23198167),List(49203341, 64922007),List(42830594, 41170667),List(54458562, 17292772),List(43419497, 49551504),List(39113896, 96145735),List(15151559, 70501160),List(20065550, 70406728),List(31958974, 17977308),List(41870515, 18720856),List(77122841, 76813105),List(89994630, 65775015),List(60374093, 25608514),List(66703914, 5929600),List(71021864, 17470468),List(2238827, 97288522),List(49923936, 37101652),List(44458917, 48433099),List(788520, 31109403),List(91271029, 71685823),List(67031756, 58921154),List(46651184, 31538204),List(21597768, 44612900),List(17761769, 68195841),List(92461414, 7708066),List(35368085, 7379232),List(17701243, 99147583),List(40001768, 52354661),List(15616439, 63837902),List(78181555, 85719045),List(19229682, 89363663),List(58170084, 10187325),List(68777348, 7572417),List(64657758, 94698926),List(7397195, 88383751),List(38739149, 90124407),List(76323100, 23771480),List(8903299, 55226105),List(1443086, 38706267),List(20977854, 65777718),List(57715908, 12319068),List(94711122, 82196401),List(17106803, 58582497),List(98838477, 935461),List(23236033, 31931029),List(6452442, 98960207),List(18910741, 48467673),List(43411954, 90866056),List(16881745, 65698188),List(70429163, 8731748),List(98573651, 31247613),List(60517758, 69776894),List(55930311, 29574210),List(5452946, 64258034),List(15175194, 86672009),List(86891608, 6997988),List(38192679, 75754854),List(7552238, 19968098),List(83801194, 35414341),List(8583133, 19465698),List(62191066, 98386265),List(47736423, 61198719),List(25681101, 60602320),List(67961358, 55006688),List(92058250, 34200063),List(88616601, 9905793),List(51658490, 72050005),List(16344604, 47942604),List(93818058, 51398841),List(85297895, 47889268),List(27778249, 68547453),List(98801465, 90318969),List(85600757, 49192797),List(26450873, 82887336),List(3432718, 34123371),List(63936527, 29464119),List(27619208, 3161216),List(13347360, 84676134),List(24749672, 29455627),List(56825442, 30381303),List(4353176, 15552719),List(16579457, 65843364),List(73289105, 51457953),List(9130730, 36135096),List(38148800, 50231557),List(76795609, 81398022),List(97529204, 96715039),List(98877356, 53295434),List(1252379, 8534927),List(29700472, 51269701),List(40057413, 72635142),List(32721207, 57597215),List(9613310, 31063218),List(61179279, 60473386),List(63608602, 72705406),List(54950534, 46385173),List(82964036, 67142926),List(8121808, 81488646),List(58447634, 95517938),List(56050462, 83469802),List(5466883, 90825250),List(53397593, 96095194),List(76466581, 48268468),List(12861227, 6059137),List(62119296, 80032314),List(98031274, 32487179),List(55824685, 98236401),List(8552729, 28992413),List(85919276, 50667278),List(52825820, 88480743),List(84931435, 64267422),List(72068252, 46190522),List(69057401, 83025765),List(62785603, 32228728),List(16806754, 56435043),List(51517624, 13965126),List(58637275, 19362003),List(76273817, 95080953),List(74962096, 14179774),List(37413651, 68962960),List(27659573, 68346696),List(8433907, 58108047),List(13463102, 69254461),List(99511348, 77082626),List(42140485, 33269340),List(69746850, 75670281),List(25602627, 15370782),List(84764629, 10516536),List(41079232, 10661980),List(32094724, 32974320),List(69922151, 43554674),List(84679560, 38932856),List(91765550, 76538782),List(66666946, 88596945),List(94484733, 10555168),List(41914549, 53998097),List(83450488, 64993812),List(99148928, 68402396),List(74680327, 46039164),List(57604193, 29802449),List(60523958, 96774857),List(81741214, 12755432),List(58978305, 69255462),List(98180070, 93163350),List(77589463, 94431387),List(1075305, 71311311),List(21860803, 95468173),List(24278542, 18604601),List(3490421, 57606820),List(57193775, 52245245),List(73295554, 22612369),List(41345892, 19143522),List(10914658, 85839900),List(76262274, 3587449),List(4245328, 19714365),List(26971889, 77864118),List(76510711, 34865485),List(49103036, 25918148),List(52697494, 63115511),List(73772609, 34868294),List(96103493, 54152621),List(36114180, 52258911),List(11551781, 11539445),List(17624151, 20187277),List(11979274, 38860248),List(1649952, 35790466),List(68960735, 71747094),List(10704279, 28627618),List(4604573, 47403225),List(6184963, 16233037),List(35678522, 5049303),List(55029877, 45633665),List(43240716, 99340654),List(2381897, 69376069),List(99334437, 44181056),List(29691233, 32619575),List(18279197, 33014212),List(21735420, 20093354),List(66113858, 32928605),List(6783236, 33890959),List(61894827, 57271053),List(33933019, 13319303),List(71877593, 82946081),List(47059009, 32541506),List(55855789, 47954714),List(7028908, 68204323),List(15436093, 55405851),List(17934167, 57271210),List(69867419, 69648492),List(37128834, 39314873),List(35244589, 85142665),List(77800618, 13952474),List(37886637, 12093691),List(23353642, 51204190),List(24587520, 97121696),List(25188690, 13022651),List(51354402, 3624751),List(93093032, 14547330),List(61933534, 33486051),List(54263674, 21189626),List(32871764, 37640110),List(41194711, 22361234),List(29062199, 43210561),List(94027269, 91276252),List(91695064, 70015736),List(66417819, 8863338),List(66328184, 2377560),List(51517301, 74430344),List(90893269, 68998519),List(78025614, 89674658),List(21546332, 13332824),List(27035457, 91248091),List(36273846, 89694721),List(11636654, 4445277),List(23215121, 8569735),List(63025756, 83581211),List(2755696, 76195791),List(97861358, 78223918),List(8113987, 31609801),List(10239340, 4977422),List(26200154, 78037008),List(38352937, 74184213),List(13375044, 50215742),List(84271406, 30358110),List(94456611, 76659763),List(1012988, 61431431),List(67108824, 17378953),List(12930911, 38886023),List(4043228, 75589592),List(52386195, 63837180),List(59566848, 12273416),List(53958150, 79642823),List(55668124, 39769293),List(90722078, 41866327),List(41598411, 51724511),List(51726930, 1257515),List(34177036, 55436218),List(58292716, 33636775),List(98067369, 68281090),List(24938698, 23963171),List(57444150, 96222692),List(80067804, 93033396),List(87709384, 15046180),List(11537765, 70953276),List(63555852, 59295837),List(18031194, 23569802),List(58015249, 76336277),List(55851472, 87752675),List(84462285, 42007878),List(67854756, 86443541),List(37941787, 97058373),List(8362935, 57165819),List(16412914, 53889381),List(73266465, 86419955),List(84288983, 75559197),List(40708233, 12172758),List(8357095, 24166205),List(74201949, 92239911),List(89276067, 61796130),List(33882132, 63696515),List(21218895, 26021172),List(47818446, 82826432),List(62372028, 50254557),List(64013015, 94684002),List(55627207, 49903184),List(97845465, 823962),List(38867281, 22193774),List(14941756, 99371872),List(71519569, 39961447),List(25756347, 13798009),List(136659, 29832460),List(44048755, 91189549),List(28103673, 1045080),List(68105437, 72434699),List(44900492, 46334492),List(345558, 80111138),List(77981054, 9008114),List(49545088, 93368100),List(89640661, 82148015),List(89962660, 10141033),List(55352681, 96251002),List(7080626, 29892244),List(90823570, 58328738),List(71116817, 87412354),List(87551273, 50148484),List(1972989, 64452579),List(43966283, 50156780),List(17442809, 85590357),List(42379152, 49742307),List(77407643, 45056112),List(75897972, 64256113),List(65402559, 38710484),List(64239556, 26527441),List(84775047, 1505262),List(9372716, 94878028),List(75593927, 47368508),List(22177766, 65502760),List(87632497, 88170327),List(57673284, 50575893),List(86200772, 83260604),List(78868021, 28036298),List(92160758, 62837792),List(57965032, 59468981),List(81966592, 81275893),List(31268027, 16961259),List(18854904, 78496077),List(647871, 57853489),List(29227075, 75183876),List(6961144, 19558169),List(10014744, 18422162),List(12431863, 57815640),List(4601935, 4668451),List(88987551, 38546719),List(33615723, 33622464),List(27732203, 17451011),List(81997444, 15152076),List(68484400, 88544543),List(36275208, 30344835),List(40545245, 21438080),List(60165510, 47554662),List(45657343, 9869470),List(39170091, 1284246),List(31703303, 73464086),List(86370842, 30932572),List(6840322, 18555387),List(20599814, 39923693),List(42217954, 81675545),List(68411048, 82704481),List(86396808, 70185128),List(62698092, 9615832),List(4767736, 16431422),List(70046031, 97804378),List(76830599, 13462134),List(35747765, 22573434),List(74672251, 57434667),List(38074573, 61595295),List(67576033, 79113943),List(48296146, 55566584),List(25969493, 73037044),List(45295353, 76363165),List(59597783, 85988925),List(68224020, 27709113),List(71414700, 47107649),List(85627373, 86584184),List(90607082, 8982269),List(6079894, 43990200),List(6924413, 72825027),List(82451474, 21572154),List(53556152, 34407725),List(47514179, 34230006),List(37230577, 97163079),List(30842207, 53894221),List(24655063, 91397996),List(41855007, 67490133),List(22783853, 22933926),List(74547810, 18472346),List(17359446, 4240558),List(10963513, 10973520),List(43021215, 32603948),List(83215109, 71616028),List(72815284, 80588467),List(161696, 31375964),List(26176765, 267792),List(61507106, 65621316),List(18739432, 50875490),List(92672200, 59806),List(74319002, 48135679),List(85850996, 28809297),List(77316363, 76293067),List(26227368, 28097242),List(57996054, 38990094),List(16609178, 60255921),List(6956392, 17001364),List(20410489, 23693620),List(27885862, 91421656),List(74583226, 93601016),List(22346122, 41719262),List(26415996, 64427313),List(20368863, 76023563),List(99489275, 97257370),List(3254872, 41959089),List(93500788, 85446049),List(77193692, 69686047),List(81966847, 2390938),List(51805735, 68900215),List(5697945, 94216505),List(52378795, 60762616),List(3870001, 33135519),List(80436047, 51892157),List(76709488, 91663226),List(30429787, 72419198),List(6148933, 34841862),List(10377305, 24716906),List(98188027, 7553439),List(69402350, 18723785),List(9938605, 33993357),List(66938045, 83943570),List(67507079, 92195774),List(66436547, 34464587),List(62371014, 3086217),List(21183619, 32841541),List(64992160, 16776336),List(80304661, 50564852),List(24269695, 39175026),List(10359986, 38745092),List(35127089, 63495819),List(54410, 47910946),List(24400837, 10393662),List(60410574, 19427525),List(26474115, 30979404),List(9331042, 28020062),List(66658096, 21945475),List(80801271, 27401194),List(4442990, 17512781),List(54572365, 13390392),List(64456665, 78603079),List(30898355, 98059040),List(98562200, 78378000),List(44381221, 83500797),List(15536232, 58646222),List(22634796, 35556508),List(30699912, 89010478),List(35273588, 83032527),List(41957875, 87919955),List(74676498, 16584959),List(27954596, 53546897),List(35289584, 41798454),List(17278761, 96439229),List(37882309, 38539311),List(26527638, 82164611),List(82176827, 60122193),List(36281471, 31579470),List(5311856, 66775637),List(33978696, 19759670),List(61557447, 67591113),List(28396164, 35303335),List(80470342, 36212795),List(3864373, 54197247),List(63881882, 21113410),List(46215634, 85887194),List(16379367, 72587173),List(75204951, 53462236),List(17173523, 14093528),List(42051798, 74968953),List(68007261, 64168278),List(53341121, 72681107),List(53346519, 57200784),List(78171067, 34995075),List(4329031, 77528336),List(34371366, 66499679),List(92416271, 58788272),List(54490545, 8745976),List(14591709, 67425891),List(14514579, 84628952),List(19942364, 92825350),List(56010862, 71992061),List(17199478, 24405035),List(14208412, 71235879),List(78619745, 26773131),List(41676993, 65289251),List(1159204, 58662517),List(99729271, 7893954),List(31368793, 76986949),List(25915496, 19072296),List(52151289, 99768994),List(14505823, 7198468),List(8396929, 69991912),List(32582956, 31807581),List(1364952, 74352790),List(73204704, 42345346),List(21215862, 35593771),List(786272, 31967036),List(14656238, 95023641),List(57740637, 74024972),List(37708247, 2741869),List(97486228, 29043350),List(3540078, 22742328),List(57859239, 70790967),List(23140431, 7735898),List(2587697, 82852649),List(47981340, 17841642),List(58179359, 90214381),List(54166455, 72473350),List(24863630, 35649393),List(10137014, 12379035),List(23345608, 35867049),List(4491619, 14653531),List(25834582, 97693629),List(10917392, 64865211),List(2935425, 44987407),List(51289156, 97239001),List(56129339, 84194284),List(5984610, 82436743),List(25618659, 71536420),List(21157608, 94561922),List(58854890, 52023031),List(41166686, 3082815),List(98630632, 51981234),List(94128793, 38745304),List(40757363, 1206282),List(87772203, 57181),List(77225601, 73589490),List(44895842, 46247996),List(89617313, 95417031),List(76108787, 68653366),List(87804692, 61458826),List(12021515, 91815590),List(20636215, 97996104),List(300804, 54412120),List(77187618, 93287233),List(85400239, 35826889),List(55284241, 94661676),List(92273322, 59646385),List(27992438, 88650726),List(54636365, 28551068),List(66742935, 3135503),List(34019998, 55830221),List(41206516, 13049023),List(5974930, 26452283),List(98775527, 80184363),List(94475083, 14468837),List(60034366, 88717632),List(33106763, 17302440),List(34804299, 39495581),List(24111702, 57999966),List(43728905, 15431555),List(71400664, 90019662),List(88025069, 98765556),List(31774319, 27579964),List(44585753, 51789540),List(98292047, 29234916),List(44284720, 23934913),List(17447432, 29078203),List(88312377, 16764990),List(19655930, 94802817),List(4563278, 52446249),List(71533892, 74318365),List(76340363, 27117339),List(27645306, 38544314),List(5098323, 8928519),List(50610881, 32421271),List(44820130, 75609346),List(13254658, 47313528),List(17590671, 12673545),List(81910583, 27577666),List(39837599, 79508158),List(41672490, 90026241),List(78690679, 31604772),List(37282088, 32691016),List(16321529, 8023297),List(23964316, 87078659),List(57645736, 40968325),List(64795669, 70855771),List(15518273, 82413623),List(10269483, 59569898),List(96345479, 67002616),List(41085359, 14655520),List(58293593, 84871177),List(42073037, 52582829),List(58849990, 43531794),List(92449553, 90205776),List(88095120, 30760621),List(15927106, 50880586),List(36387918, 39387516),List(58642719, 85661275),List(63399582, 17761945),List(70714046, 25077779),List(99790813, 24140797),List(44630895, 78764844),List(86277889, 78116846),List(91052975, 31805668),List(62549211, 30234367),List(97932996, 94037425),List(40567342, 82988299),List(15217610, 60014815),List(53186184, 26890377),List(38003219, 9450866),List(65674549, 84112741),List(34916452, 41397131),List(9284755, 35930151),List(7856237, 19027658),List(58254169, 66431565),List(64510838, 91249304),List(63921209, 79510326),List(57173385, 39432694),List(64495179, 80405769),List(15307911, 28717774),List(86675205, 3620213),List(18231667, 4416011),List(98895572, 79807894),List(94167453, 85821218),List(43982997, 68911487),List(12042722, 62509772),List(30510860, 38744190),List(25957447, 71701458),List(45610337, 8868757),List(2855403, 96252340),List(39101319, 31799536),List(5343419, 38811002),List(66183028, 58968901),List(60931200, 44501356),List(91791042, 41268525),List(44400920, 63911048),List(38016235, 31125729),List(86953129, 66758656),List(36739489, 92980877),List(29212688, 76744642),List(51661253, 57570844),List(37758007, 97602995),List(29057887, 62563717),List(91449609, 56912101),List(70576837, 51766450),List(72282896, 32097066),List(34457736, 12520838),List(41067375, 14601305),List(45600998, 45467294),List(46483932, 36248602),List(32243820, 17835027),List(6342495, 89729841),List(72920890, 33465640),List(68102764, 51345393),List(13898066, 72351728),List(62002685, 8560600),List(47476926, 23678472),List(62773794, 50024987),List(62224882, 5746536),List(73262347, 62489144),List(29623973, 11293362),List(30697880, 38290588),List(30553669, 74215448),List(98539548, 68857932),List(48056746, 33200918),List(34442928, 37197303),List(13410683, 53878906),List(89599045, 66105713),List(66867224, 26937856),List(93790352, 6797494),List(9436054, 64507041),List(33621476, 66129381),List(97445543, 13958144),List(13882448, 65699874),List(94574959, 7133877),List(98039095, 34002271),List(12364855, 90556890),List(3655822, 45958127),List(84502926, 644802),List(95154311, 91934751),List(4233218, 33809870),List(32732272, 91960856),List(22617906, 14922171),List(29987068, 12825306),List(42577520, 60490957),List(47197715, 8866123),List(9741965, 33637189),List(90907723, 43353448),List(26910913, 29861806),List(74242526, 26563548),List(23402789, 21352195),List(1328185, 9302308),List(16845319, 57050741),List(4892637, 70279518),List(54328129, 45776766),List(31450696, 10544332),List(68764972, 55746712),List(97748069, 48941805),List(18191250, 84451357),List(78736777, 50190190),List(64424831, 62706477),List(84762915, 56515667),List(59457500, 2943206),List(16130004, 47830731),List(94387905, 10781836),List(14899730, 63260409),List(22779723, 67936519),List(49164117, 63433243),List(18813488, 95497109),List(47489420, 71929907),List(36568706, 22702851),List(65223034, 75975222),List(30255315, 4938140),List(14341558, 1178151),List(56320467, 53381229),List(4250533, 21627890),List(5408612, 44839843),List(21602845, 63163003),List(27334041, 44467800),List(34702130, 84041784),List(80241092, 13483261),List(65630403, 87529681),List(56104643, 71498229),List(31914731, 54420093),List(57419974, 17253231),List(14585964, 40643594),List(35584211, 88081916),List(94647628, 11437242),List(10535245, 20893996),List(77494045, 63280938),List(28323595, 49437596),List(85881869, 77956896),List(14427821, 95053781),List(91680256, 90194067),List(36386493, 71410497),List(74911770, 75568966),List(65901105, 87273538),List(55267977, 62474590),List(31696657, 72440973),List(24212957, 64282065),List(4048214, 35654546),List(14539551, 38365302),List(39587515, 61398190),List(90576509, 12147096),List(61846116, 62472289),List(12994969, 23622268),List(94888684, 49815873),List(65524026, 12507864),List(22178670, 75023506),List(13130637, 34456507),List(28100244, 57202552),List(49812265, 12591280),List(47239685, 83680792),List(50731240, 76446477),List(48228259, 48970106),List(20357017, 34136595),List(61927577, 73155011),List(42874109, 26325923),List(33910112, 56332532),List(72728112, 7395854),List(9403177, 48489925),List(68820580, 81727112),List(77605376, 12843106),List(4601977, 14489758),List(25537211, 98797357),List(16235617, 67771604),List(65879028, 19465587),List(27936831, 22335899),List(18067053, 34984572),List(74113530, 95501273),List(68655385, 37054004),List(14188309, 97103560),List(89546805, 11934124),List(51634515, 49341069),List(71882076, 23822612),List(78666166, 56613815),List(71161744, 46323780),List(76199855, 40276106),List(38327514, 89369688),List(14211413, 52101426),List(23399655, 8551539),List(93448606, 61408787),List(90485388, 76867972),List(73903476, 72974996),List(11220710, 14279338),List(62957232, 9801134),List(64722319, 55005267),List(21492213, 22697974),List(39373017, 14905647),List(73335665, 37654557),List(63495558, 20767230),List(11709019, 88111059),List(99697819, 4258150),List(1450803, 92388068),List(54665341, 66301228),List(62110871, 58382922),List(51822742, 84966532),List(69543134, 31683883),List(41311299, 34954538),List(90006717, 33941026),List(12507564, 93364853),List(24239902, 6022585),List(67707184, 263314),List(41460761, 23010959),List(3193018, 83496404),List(4932021, 9171209),List(4672163, 49846485),List(6670620, 65163826),List(17229956, 29853719),List(81932510, 1530596),List(73096943, 76789799),List(76055022, 6231291),List(17771056, 76121429),List(68614476, 58533410),List(54974720, 15486407),List(59730469, 37211388),List(96364737, 42362491),List(28087702, 85029554),List(57720859, 9200826),List(51529244, 13479313),List(266853, 80264063),List(63068396, 76029840),List(60385906, 49051993),List(61213097, 81246213),List(13912949, 79442583),List(42537528, 13400135),List(29360853, 70147752),List(75607790, 83543422),List(6742385, 95327080),List(74542986, 72073318),List(65865974, 63320299),List(1997374, 96746942),List(101952, 30443322),List(68645301, 71541156),List(67144160, 18663382),List(78010783, 83489667),List(5262672, 7283713),List(16214377, 78957697),List(52841592, 86864300),List(27706513, 47612772),List(52749129, 22886641),List(17221827, 86864390),List(61599529, 51318616),List(31677183, 30768868),List(19624493, 22423404),List(96555774, 30965514),List(567506, 32030065),List(39026525, 93565114),List(9338355, 99984696),List(84732442, 2530),List(96674097, 55842557),List(66981135, 25705312),List(5862752, 53247996),List(73781047, 7604067),List(17177446, 92324310),List(14250410, 52206881),List(70075905, 40771773),List(35187307, 39338993),List(7483514, 33148811),List(72814120, 987286),List(3509180, 6272458),List(6320674, 25319054),List(44396849, 17393421),List(77887225, 14439981),List(21312312, 81166146),List(66732064, 70883009),List(51116218, 49342441),List(10917818, 28926668),List(4008890, 21820831),List(42959566, 95330458),List(75590307, 13929353),List(11087296, 95615486),List(64009083, 47576313),List(88702663, 15264346),List(9411425, 66784544),List(30647686, 4908740),List(20717836, 35361989),List(63682362, 46458728),List(77926032, 60694744),List(34621320, 38705530),List(49810387, 95253641),List(8338109, 5542697),List(92590459, 31158779),List(8638981, 77895360),List(11246345, 52558927),List(30212778, 5494221),List(14634044, 52254945),List(1966693, 58122362),List(81941600, 55555083),List(60130630, 25773188),List(27498152, 77543889),List(99549084, 7077660),List(33415235, 61666332),List(80722563, 63112937),List(81979729, 65623411),List(43819952, 63059243),List(56972096, 40485641),List(84913152, 28424832),List(81293128, 47142451),List(62857489, 91250698),List(5632093, 82630423),List(59964513, 32195644),List(14650935, 12099785),List(12715412, 4912406),List(8493007, 80431589),List(98333608, 74812312),List(57052012, 36372812),List(77998518, 53485256),List(82798911, 91490616),List(16032653, 53585713),List(49555518, 95616553),List(4247240, 18123324),List(55113574, 21300941),List(10824027, 96790885),List(78654283, 80896124),List(23758684, 98381744),List(6265241, 30946701),List(87121097, 8754037),List(39838699, 38233107),List(4160057, 97148892),List(54818179, 47842756),List(7425589, 17201607),List(34324832, 46159332),List(14072858, 4865716),List(27958851, 86517162),List(64995602, 46428817),List(43526091, 34947801),List(92111041, 58492076),List(2596474, 55689223),List(55685419, 25772367),List(38867863, 21538097),List(92461340, 85027997),List(47647736, 25572100),List(84453776, 47042293),List(24790930, 12658413),List(75902901, 98623080),List(25648139, 97358511),List(17611498, 21059251),List(71640506, 10395305),List(21527981, 62340764),List(899205, 64571052),List(90099106, 8987532),List(67203826, 72104440),List(39027643, 45342863),List(36035672, 15882482),List(85694142, 69686855),List(76053858, 62301136),List(30662499, 47535877),List(17690326, 80848546),List(15213209, 5912478),List(83354183, 63183868),List(92494424, 63597834),List(98545374, 22700566),List(20002837, 66757658),List(15622193, 90955680),List(27025281, 56093585),List(48104673, 91193607),List(6945804, 47545590),List(63981676, 66381253),List(80682051, 53991923),List(55759149, 39022266),List(18699187, 80981842),List(97418822, 63747677),List(49105045, 21417385),List(54967991, 86849527),List(2511515, 95447016),List(27757650, 87307733),List(72449893, 23570545),List(87333863, 64432847),List(43950806, 48726723),List(55844235, 71248129),List(12440847, 96804406),List(71408065, 71945185),List(72691090, 90215470),List(66552109, 61022088),List(97565146, 35801867),List(31951591, 10934952),List(59668031, 98748694),List(41835746, 93140131),List(19003606, 68840353),List(90216322, 43610482),List(9923560, 78008752),List(7129396, 36796541),List(21764942, 65333478),List(98101602, 33206178),List(56965138, 35545173),List(98304639, 25371404),List(95401559, 10008547),List(73090096, 72336545),List(26065616, 3005261),List(42627848, 98155062),List(6425579, 32611208),List(57758249, 23259476),List(90850857, 59973356),List(1103507, 99623695),List(45481202, 59494829),List(98205623, 61015659),List(474098, 2539565),List(94998773, 91515438),List(29843299, 705508),List(28630010, 79709851),List(20604045, 60870706),List(76668742, 4388345),List(33252471, 69332540),List(40830265, 7496747),List(3653999, 88942157),List(67777506, 43222229),List(36130017, 98545177),List(46034084, 78186177),List(99268378, 17403107),List(59507245, 49973958),List(50860780, 68936467),List(14707480, 96538406),List(659795, 99139405),List(11038307, 38857938),List(76695839, 19537081),List(89718396, 63262754),List(82603567, 55802633),List(53120926, 21901841),List(96185324, 67634026),List(35510467, 80379656),List(63639975, 70682349),List(64049265, 95498127),List(59476808, 55846200),List(71604408, 37836075),List(2023701, 59328706),List(88152515, 76776786),List(2670840, 39663138),List(28247884, 30023701),List(28236431, 12821534),List(96156601, 29578875),List(45511213, 90963608),List(10469031, 97281350),List(45154156, 95663403),List(6447395, 32344258),List(94728970, 91352795),List(31187927, 56822061),List(85546688, 46679629),List(6918120, 88360816),List(19564154, 51432305),List(85122340, 76653537),List(10670137, 47118365),List(65742679, 49237577),List(67430958, 57311890),List(44310284, 74527972),List(68340842, 6649992),List(87943602, 61726019),List(20358506, 37692123),List(11877413, 89351874),List(62103997, 89924328),List(99591888, 11504610),List(65194976, 67619040),List(49572321, 16876704),List(57382001, 31313558),List(69654719, 79676101),List(43967096, 82764772),List(51913795, 63680707),List(14355017, 79073565),List(6314842, 37136549),List(82337972, 25860317),List(46396490, 11552401),List(87614535, 72938396),List(31161472, 97060555),List(78302410, 42690052),List(49263580, 49368484),List(12273304, 68331839),List(15338524, 36815690),List(60443380, 20596422),List(21488496, 19630133),List(62137370, 17019963),List(80897910, 92186892),List(24221388, 20964961),List(58395200, 50126813),List(92452791, 11986784),List(4628734, 96645480),List(29999299, 646833),List(22504353, 38879512),List(67411106, 99287541),List(74005641, 8421792),List(32414904, 38200599),List(74288630, 17711786),List(60941439, 80584926),List(79384892, 57502742),List(71575758, 9585357),List(42447009, 8938696),List(2524416, 98038474),List(3619719, 62282141),List(31973254, 35129685),List(93873403, 56392036),List(47563625, 43486992),List(50182213, 90424589),List(96826029, 82131471),List(96654, 40215048),List(53182086, 55580184),List(98273222, 6371534),List(40328528, 40030573),List(29564780, 9163463),List(18704541, 54570737),List(90728592, 64846063),List(40950457, 47455091),List(40514065, 7289527),List(10989847, 49490436),List(71751639, 43874211),List(66267444, 52808980),List(92444974, 74393684),List(78609367, 79323405),List(19725173, 98742685),List(10463699, 44813273),List(36736174, 15947049),List(5426969, 45231870),List(3879324, 34100194),List(33559372, 36916179),List(99127823, 54253646),List(5208953, 26487274),List(77453004, 58853166),List(12938590, 96522867),List(44791513, 36093604),List(53016216, 97606926),List(36694349, 18657999),List(48541696, 34013262),List(72373195, 45296231),List(93428912, 79452907),List(74099742, 46525727),List(99787289, 23221967),List(47989463, 64696614),List(86398367, 63718245),List(26084675, 81567284),List(89350406, 13756971),List(14237731, 51649634),List(53130285, 70732881),List(19787686, 88147269),List(72768054, 43579835),List(90220217, 382412),List(77168587, 95509882),List(10899888, 47048412),List(39220851, 78805992),List(13503387, 10397813),List(11880184, 23037295),List(47641505, 39266745),List(23114578, 32795807),List(51302010, 47408397),List(93379721, 57687582),List(27220513, 97528299),List(41410705, 97207497),List(14493437, 8118711),List(51418923, 32750599),List(81403611, 5593940),List(91150214, 22713898),List(41663878, 74010304),List(76221601, 8028438),List(43702641, 3329916),List(4694451, 75451688),List(54252830, 88868025),List(83795693, 56165807),List(49412062, 43976572),List(36736450, 33514179),List(98764324, 56138546),List(88229467, 84780983),List(30103692, 38749672),List(21290724, 63328221),List(93792951, 70576792),List(662198, 85714352),List(85284991, 42451345),List(68356792, 97537339),List(19496104, 46074042),List(57150097, 45192117),List(99229380, 43891265),List(34283329, 65211739),List(25641803, 90843127),List(95249807, 58355721),List(21136127, 74695408),List(79630531, 2543573),List(72888481, 21607523),List(11468852, 18195479),List(8264323, 44673626),List(61268984, 63680079),List(89135344, 59015762),List(55491713, 42886172),List(61844402, 91761191),List(83946297, 49749032),List(17468829, 18026759),List(75203232, 67260517),List(17341269, 26909837),List(2797791, 80179757),List(53141346, 42063706),List(1443674, 61709906),List(84311792, 23433796),List(93242627, 2537887),List(71894116, 62788879),List(69735594, 12456981),List(50140339, 62836646),List(50282264, 99527362),List(57008560, 58644562),List(65969103, 46695286),List(83252327, 75498485),List(43044481, 11768731),List(40399773, 42834088),List(61311057, 37100382),List(19580942, 97129597),List(17371127, 38139161),List(52828591, 43975974),List(80687951, 26927076),List(36403821, 27422826),List(77499981, 37239778),List(37473326, 30479306),List(20560700, 72090372),List(95735068, 51765137),List(58950645, 12781350),List(86700653, 6203684),List(56484906, 89067445),List(37848132, 74917902),List(30464756, 27268742),List(57622518, 34204767),List(45482384, 12706369),List(85282205, 54549753),List(36733499, 63133019),List(88243024, 53270741),List(99263385, 60578118),List(89953537, 8109845),List(26467270, 53842629),List(87631628, 10283334),List(89557032, 25538722),List(26581372, 21681844),List(79509104, 13533556),List(83391360, 73818380),List(7806314, 64081319),List(96697865, 55330036),List(8813845, 39505111),List(7452928, 61166210),List(33389591, 16121017),List(57883324, 44097696),List(46581008, 85679409),List(72319776, 30376349),List(29258964, 99188625),List(6804465, 27861951),List(12370482, 53151458),List(55193348, 82230328),List(24387620, 84376302),List(71894249, 22351154),List(89588961, 80023675),List(42826749, 84361398),List(43308904, 48044710),List(21034943, 38021641),List(28476332, 20285839),List(43843411, 12903972),List(80424607, 87007260),List(3406944, 54277344),List(87127897, 28036869),List(21655186, 90706786),List(75044126, 72604081),List(23825548, 16770688),List(85412300, 96927305),List(96837489, 48546529),List(81467201, 12375751),List(98643673, 45041059),List(35045470, 33616992),List(32041009, 57853854),List(979554, 16334858),List(24428502, 7538345),List(14126599, 9251937),List(44558044, 98818306),List(22918209, 97062500),List(97155251, 68626292),List(91728998, 9764369),List(90739171, 5505892),List(3471221, 65026153),List(84297266, 47845638),List(83380135, 70564584),List(30587006, 67653849),List(18860653, 44056022),List(97267334, 60149049),List(88158402, 40870993),List(7354276, 85030251),List(66524494, 292980),List(11490462, 95243481),List(25254042, 4810715),List(35021234, 87272042),List(8987992, 32396185),List(81881723, 57192241),List(65329885, 23646907),List(60509509, 57067322),List(46535812, 8022174),List(57080554, 84114309),List(78011397, 74281786),List(91102155, 66126949),List(88897539, 1706778),List(28790207, 43577061),List(74601661, 99791718),List(58638954, 48387205),List(2278500, 4446839),List(21381723, 31370844),List(89248437, 41390128),List(64583685, 31024362),List(23003270, 49821204),List(94362684, 36921176),List(40227446, 67794890),List(48173291, 67513515),List(50498451, 16555374),List(90139546, 53832461),List(23439287, 54943544),List(41001479, 97473018),List(16009371, 24458821),List(71923530, 6267948),List(20248388, 94777556),List(34184213, 21092109),List(21608132, 31734275),List(97175788, 38956120),List(23949450, 12012208),List(25708780, 80518535),List(50753902, 6576898),List(60667420, 42946770),List(7293510, 60910419),List(86081222, 66236447),List(72180580, 16501648),List(98253728, 61946704),List(30408666, 57133829),List(16387849, 88282232),List(35126581, 26385001),List(46834243, 64502317),List(59026242, 46414737),List(29282292, 74210364),List(4575694, 54417696),List(8768299, 25753893),List(59852412, 87657766),List(50406230, 57551924),List(92093891, 99246400),List(54349456, 81111546),List(92422427, 28227532),List(12701464, 27581785),List(65074126, 27652955),List(82655236, 76025289),List(308057, 66118826),List(10053144, 96474788),List(39630492, 58304633),List(5808033, 94835878),List(92890578, 97669688),List(83612346, 41144313),List(71303994, 56672426),List(61032144, 2081702),List(86648643, 8614865),List(23185984, 99316540),List(65476658, 39574732),List(58023761, 14545440),List(25658416, 52754295),List(70932377, 49232580),List(87023928, 3095790),List(59698487, 53069581),List(66571419, 55864585),List(51987614, 22758313),List(5933003, 24546742),List(13140716, 27693333),List(78782068, 61856637),List(19395803, 56086670),List(35885997, 63272270),List(76369833, 56849269),List(38717726, 57362458),List(86447157, 34215468),List(22356687, 45497991),List(24616556, 19899285),List(13862717, 74338851),List(82530488, 76817740),List(13737897, 44261025),List(80568546, 84381543),List(71480296, 98352856),List(94282122, 9692992),List(6237127, 64690837),List(74406780, 54125354),List(28782682, 15326161),List(80099270, 64817097),List(72408042, 59770458),List(73279485, 3355410),List(43701050, 99918780),List(51057913, 472415),List(87118525, 97655745),List(71547301, 35278499),List(12639245, 66709007),List(67019097, 92618480),List(2402416, 28413559),List(32221964, 78508539),List(32116924, 24170722),List(61136709, 61301236),List(80891291, 18267056),List(24005604, 12926512),List(99517633, 36671176),List(42912157, 39283933),List(76766728, 90525484),List(67428692, 55646131),List(35964787, 13047469),List(18319500, 82472414),List(59395332, 77679066),List(97779138, 81794126),List(90319164, 4019230),List(5195522, 84168245),List(88694644, 37116979),List(60413896, 81888661),List(42627955, 28229647),List(10482795, 40528647),List(86569535, 37817706),List(18570520, 53787951),List(34052231, 59250903),List(81395390, 51951483),List(17333105, 6146090),List(72968121, 54285573),List(92914901, 33660950),List(45019444, 94251148),List(64063210, 15706368),List(87838308, 68287785),List(12474260, 95832296),List(76549551, 79287104),List(92413425, 20169350),List(42399365, 83272787),List(41995347, 99048775),List(14365783, 40117146),List(13872536, 74135566),List(68831926, 34896797),List(1217296, 43318863),List(85059355, 31029653),List(97963796, 60255630),List(97956656, 93964838),List(33737761, 85484430),List(32120094, 94294380),List(1181535, 41533973),List(93953896, 85018171),List(34051061, 98941211),List(87015205, 64106986),List(5737407, 20776873),List(22938637, 49802005),List(90803008, 83747749),List(85404739, 38997355),List(84406620, 40481290),List(75306106, 32084284),List(19583734, 40216060),List(67289875, 22734448),List(30757752, 41310354),List(57699323, 61873907),List(72290159, 91209895),List(39540398, 60591240),List(74237813, 80435100),List(33756184, 20236666),List(56011906, 43065089),List(38921332, 87137339),List(67714630, 65763277),List(22804634, 55429339),List(63646543, 95459104),List(18512027, 99790245),List(46504596, 30813591),List(97086668, 62373675),List(24525802, 7663377),List(43319272, 63882617),List(54737084, 57972913),List(80606507, 93301055),List(93721165, 27185787),List(4567712, 35975701),List(43210362, 62653938),List(26155375, 96695677),List(84715701, 48773150),List(21895783, 86231617),List(19280334, 86566340),List(27815078, 73102453),List(64338113, 29886304),List(16783634, 22823259),List(77178379, 13519433),List(40110048, 21802829),List(61086556, 88235514),List(98266194, 52369674),List(48411585, 73112262),List(40513949, 41160158),List(60978620, 56877824),List(83695826, 24740841),List(82510255, 997473),List(64109595, 85453530),List(83488213, 31953169),List(59421844, 39014209),List(9141685, 72541035),List(19997760, 71806941),List(38777700, 64996644),List(14216616, 95457969),List(8300040, 65257147),List(79750941, 34403227),List(42130636, 11390625),List(17190865, 8055683),List(60581363, 83311807),List(7096063, 35988306),List(92521287, 36376264),List(87790380, 73849269),List(5104181, 19491744),List(64286670, 52503992),List(74975221, 80539917),List(75613793, 38724204),List(3788594, 82313515),List(1922896, 59411160),List(79654493, 59973362),List(84939945, 79358067),List(45868363, 96284312),List(97365605, 82598591),List(89516193, 43140478),List(30616682, 94046308),List(72454587, 52629260),List(6159146, 67572941),List(97916399, 27846011),List(70691186, 90928415),List(52353146, 76678903),List(58105750, 71992215),List(60765931, 22720094),List(63674601, 23491637),List(98931915, 85977890),List(83417821, 16134739),List(13409232, 33033206),List(9134229, 53529251),List(3529533, 64168597),List(41151056, 1344427),List(74667249, 87638211),List(78512598, 62960547),List(73014486, 24235108),List(45174758, 7683598),List(57997624, 94431564),List(96622006, 84749989),List(3013481, 77150880),List(48459373, 3163891),List(14206529, 31153060),List(73660738, 56323546),List(85525470, 81007282),List(16805642, 60781958),List(77044067, 40275450),List(81731314, 67385553),List(96352398, 20029704),List(35759789, 97002663),List(28228472, 25350372),List(37256920, 50077675),List(22720464, 29376542),List(71494954, 72405784),List(74086473, 684642),List(50262294, 48848855),List(65651339, 46432169),List(12690217, 71349198),List(75357443, 40123163),List(68068898, 53490732),List(5563654, 44966704),List(72396896, 20856276),List(69943433, 56683379),List(75981554, 46272980),List(34268610, 81929414),List(22763913, 48696535),List(17375366, 56796696),List(43717312, 76833214),List(17612918, 52784194),List(92586753, 99168516),List(62759950, 30174100),List(70971924, 11138341),List(31869388, 94269907),List(38296133, 59042485),List(4663782, 49530847),List(37740588, 62765886),List(19792308, 84899337),List(45447052, 18925430),List(52032410, 23924522),List(41447322, 1141878),List(63551650, 90922592),List(52872134, 73984081),List(3796395, 84302180),List(15060886, 92993384),List(98178768, 83066307),List(80983730, 56191953),List(46140826, 31275915),List(75903154, 61116696),List(42255453, 19879262),List(82127924, 22799263),List(96653140, 32620621),List(30356747, 75912587),List(73041, 93705147),List(74669234, 18331347),List(98767112, 42220163),List(84622122, 26677086),List(21604231, 97679975),List(50447710, 55898465),List(17467992, 88960668),List(94814578, 19953851),List(37805454, 7086149),List(37534879, 52899015),List(48948571, 58982153),List(24854360, 63929060),List(33330529, 58538081),List(7097757, 61850593),List(80026306, 40751385),List(50504594, 63071289),List(65121465, 50342904),List(60975028, 16180040),List(56124707, 29423980),List(35375906, 44863282),List(19427186, 18293257),List(36368731, 95193769),List(30570222, 34730615),List(19754285, 88122104),List(19501364, 35838884),List(90584537, 44754493),List(47303470, 51609185),List(83243734, 71680656),List(61482173, 55160718),List(81641276, 42972954),List(13958289, 83732146),List(9895134, 54878649),List(12147192, 69495175),List(74902597, 32275625),List(85991031, 10569246),List(11767301, 60712140),List(11039452, 91464906),List(26930991, 2815862),List(79840056, 31674549),List(41955711, 29134461),List(33775345, 46721516),List(26630014, 66788103),List(57068889, 77787337),List(80574051, 42296168),List(6299845, 18809075),List(82948865, 4316934),List(29006720, 66307493),List(73201102, 67176667),List(93129899, 56930017),List(49870307, 45264964),List(99157016, 92387411),List(57010445, 2234609),List(87471595, 78525251),List(29941112, 6279795),List(66924215, 32289130),List(80706783, 71711082),List(58240202, 50983578),List(5251845, 61220043),List(79531998, 78529337),List(2104656, 26134363),List(74952572, 32848552),List(85912059, 91737123),List(59892988, 70263754),List(95840017, 8857257),List(20122373, 18267502),List(11717699, 83571720),List(78486610, 70529928),List(31744296, 79671555),List(55449337, 61741081),List(40847436, 77478944),List(91741183, 46720553),List(87703131, 1128240),List(81898682, 63019407),List(50220240, 19614745),List(47093230, 71175765),List(45113972, 30122159),List(17848991, 71177902),List(54942317, 83360059),List(147432, 61411066),List(10795905, 17133644),List(84649769, 90351708),List(92900403, 21933738),List(17742599, 62658525),List(54319929, 60942531),List(47895143, 35530352),List(83428375, 58968719),List(93505103, 67013505),List(15229855, 68025305),List(74275041, 15131430),List(253304, 2055200),List(71888058, 45543645),List(15056877, 31377226),List(64687582, 65123491),List(99929708, 14681180),List(53471887, 14758656),List(98302991, 87614546),List(66042600, 15904100),List(88757760, 242918),List(15823925, 69044736),List(8520061, 96134119),List(49319711, 71153222),List(69938677, 82561361),List(23767678, 5386029),List(21874807, 36624396),List(66968739, 72955320),List(31609706, 36816936),List(72628579, 39815208),List(64414473, 60541537),List(34274686, 24824633),List(53164028, 85869628),List(98539706, 43938554),List(21477655, 99815206),List(35755695, 65659956),List(66780493, 21740311),List(21712142, 72461142),List(47068895, 58570992),List(6222595, 78818196),List(85585781, 19640902),List(51748684, 50839525),List(78531404, 9129597),List(34242016, 70587867),List(14997912, 61827385),List(75546538, 89610743),List(47380548, 34036456),List(76626549, 96408318),List(90120791, 20819739),List(3206428, 11060069),List(82847628, 74034484),List(28731077, 2421148),List(12738128, 22218222),List(62910631, 43484183),List(75149630, 68079908),List(36346179, 87593593),List(90277639, 98189298),List(39590767, 95026161),List(34328820, 6586837),List(54484921, 22094227),List(95673144, 12657933),List(14970058, 79488855),List(83475477, 79042729),List(71135965, 11158649),List(66713359, 76162643),List(84214793, 510119),List(54680704, 83605245),List(64835757, 53564373),List(51151004, 85549832),List(41634410, 3019541),List(22674050, 158586),List(797991, 22472613),List(3446926, 27635382),List(81559465, 44254470),List(52019038, 26408599),List(4908858, 12233778),List(24149644, 1513556),List(6264405, 51674721),List(61860807, 20348260),List(38529747, 12547342),List(84877991, 3752034),List(65379691, 17090602),List(34707382, 87923642),List(10890005, 35600155),List(82727955, 80358072),List(76159013, 98449532),List(93387564, 85404863),List(36049096, 20229586),List(4581312, 42459763),List(7495512, 61794495),List(86735293, 7754385),List(3890486, 92055928),List(60398377, 25906025),List(10917678, 14065490),List(70589465, 48225945),List(738141, 3797157),List(89281630, 35021185),List(98005592, 99436332),List(36997993, 37259703),List(10585909, 51880998),List(82954356, 62736610),List(10563812, 1788739),List(62901231, 34461770),List(21567851, 81297577),List(94610351, 34909149),List(22215543, 38727119),List(30900045, 64545751),List(36452087, 40861978),List(57365439, 26468311),List(36108763, 22863550),List(91346953, 38422238),List(14909384, 85451431),List(72501917, 39710160),List(8850914, 35359097),List(65833141, 14638355),List(32315204, 1974142),List(70326866, 57999436),List(89989151, 30947236),List(72709645, 57753372),List(81079179, 27275363),List(57236867, 51293940),List(71154920, 17634924),List(89311051, 97567079),List(32177349, 19576402),List(48818492, 23857247),List(48884932, 81089721),List(552051, 24418115),List(86775412, 27053417),List(58969612, 21773755),List(63954358, 43257732),List(298825, 21470297),List(6728149, 88452184),List(95833781, 89164073),List(51471809, 96751906),List(26065953, 59613550),List(22259838, 5080817),List(47140667, 65829644),List(36022005, 13465001),List(32261616, 95732892),List(4133537, 70740961),List(39268832, 52579172),List(67293803, 66015393),List(89841284, 84736455),List(79650102, 59331427),List(45954257, 94230012),List(53226076, 13454044),List(49284905, 638326),List(55043190, 24744033),List(70993063, 67660778),List(85615326, 15432941),List(83656084, 83753433),List(33134384, 51618967),List(5462641, 11074824),List(34367555, 7084739),List(33661688, 8721859),List(30753431, 50535672),List(60792698, 94212653),List(51329267, 37305291),List(76507630, 25541649),List(76064089, 56543200),List(56477220, 31090536),List(70995931, 60702216),List(76395286, 89894768),List(52319233, 597798),List(39182941, 35187880),List(25820004, 68764908),List(93752620, 68852847),List(16899047, 60566340),List(76303296, 63236431),List(55932571, 81111503),List(66058427, 52682380),List(4159896, 93643366),List(77226237, 4381640),List(47139304, 55228062),List(10656152, 60373862),List(83134648, 44983127),List(19986198, 19163449),List(53378959, 14863632),List(30527785, 7103604),List(3867955, 77330507),List(5825675, 77940038),List(77889916, 88510657),List(39890570, 94145293),List(85027225, 6627750),List(65886380, 81984235),List(21632572, 35486835),List(11543238, 70423480),List(30597430, 73387624),List(14444435, 26286356),List(71371732, 64151585),List(3871249, 10467706),List(79666619, 66000685),List(78847422, 45497047),List(80500188, 96488493),List(91280666, 30848513),List(71781781, 37633819),List(24100948, 70871503),List(10023230, 26691577),List(13554704, 85708616),List(6125649, 76434821),List(70204773, 92618918),List(10271794, 22681796),List(3850037, 94242279),List(11932993, 48839828),List(63182668, 83802757),List(61862860, 94186909),List(19988230, 10056317),List(49628018, 25759522),List(12063547, 39691071),List(27402301, 52951478),List(9679497, 10319609),List(18281691, 56247255),List(44100655, 49816723),List(13742872, 45786666),List(18300727, 55361732),List(79902711, 59835336),List(9597565, 10825045),List(88789297, 22009129),List(66236755, 80844298),List(23999954, 76603862),List(57022479, 27557463),List(83219594, 68928398),List(47206470, 82991928),List(23113023, 98529883),List(11700476, 75430527),List(7021026, 88972806),List(86119387, 7095648),List(30266346, 49130989),List(28106936, 99475082),List(6111045, 49748480),List(71823024, 73590172),List(23237338, 74244511),List(21758392, 34304027),List(62475854, 2233900),List(50983343, 37796263),List(74405170, 18032024),List(66435478, 77412525),List(1433368, 90496215),List(51133276, 90583552),List(60838064, 34924547),List(23997669, 73716729),List(47202523, 73803808),List(39402643, 82903622),List(38843607, 20871151),List(77038227, 49871619),List(28720121, 26630543),List(7163793, 33580644),List(52557472, 20779969),List(665717, 57180611),List(16769899, 54734873),List(5182821, 35839887),List(96167578, 92989045),List(35836298, 3829197),List(59156377, 43992056),List(85451172, 4521492),List(47156960, 36614759),List(59316284, 49343377),List(38047118, 2253896),List(45166651, 74455004),List(52945327, 80777433),List(59610560, 83488021),List(67155363, 86220600),List(1249945, 87027441),List(67050477, 12052767),List(10746983, 443146),List(77828957, 61731249),List(79903925, 71641193),List(13910231, 47828410),List(51815961, 9089099),List(47278145, 92730774),List(71872264, 71218619),List(22947738, 98287655),List(92404904, 47358689),List(45502683, 44105926),List(75825422, 53474989),List(44753773, 52516125),List(1537830, 79881977),List(44089798, 55127921),List(6786031, 57717402),List(44017369, 25689570),List(50755138, 53482670),List(32590789, 26765338),List(67265057, 55168333),List(51245961, 49946422),List(91387612, 14224872),List(37660019, 8287683),List(97481821, 35745921),List(4534085, 2451146),List(16708387, 63568861),List(66172592, 89613305),List(48745190, 63234794),List(40181715, 94741522),List(10945964, 41283430),List(2041314, 11908020),List(83659421, 22790095),List(66286252, 29336488),List(56604520, 76147372),List(63662749, 32692371),List(52187285, 41888411),List(47335182, 95337650),List(87233738, 37956104),List(94463345, 81080374),List(30072284, 16288834),List(41982966, 45289035),List(49596263, 60362640),List(95302546, 24607694),List(82461150, 86331156),List(24759759, 4354925),List(61106732, 97707586),List(54496514, 78421411),List(40243575, 42417282),List(72622907, 9747775),List(22280746, 46291009),List(1808154, 3536144),List(11759984, 58901285),List(15763254, 85921528),List(65501910, 80155136),List(86454464, 16910079),List(5266187, 58997046),List(30272707, 83407987),List(96779300, 7770505),List(21079839, 39916212),List(46890307, 35858665),List(1048531, 64547191),List(7800707, 91631899),List(20933042, 76519353),List(82389920, 84502091),List(75490806, 68888723),List(57797815, 39435970),List(48952024, 42594702),List(27317889, 97942406),List(66304376, 22861010),List(14538421, 94404516),List(68617057, 88807619),List(99238069, 47214786),List(85248796, 69967490),List(97448390, 42494248),List(48286254, 91329461),List(10282568, 34951922),List(21838185, 4151551),List(10531497, 6378887),List(61650773, 32944827),List(89523588, 39590023),List(77924715, 47486691),List(5454033, 13216484),List(62259041, 93432100),List(79199721, 17194864),List(48454079, 44384860),List(42405851, 35173116),List(48574779, 62927298),List(55452125, 98646308),List(46719777, 30479824),List(70259156, 28214740),List(90087871, 52443300),List(78358778, 28723081),List(12581794, 78812066),List(13705145, 84991632),List(35482992, 582234),List(48852350, 66483172),List(73670173, 27310703),List(8894896, 3481220),List(35432068, 63699368),List(29989509, 44471243),List(14536729, 33357288),List(8870214, 2302087),List(28797029, 70432057),List(5741282, 1745656),List(43969361, 35998649),List(97300934, 32193282),List(77094273, 41754583),List(18359955, 74439528),List(16736825, 16896407),List(74432541, 90922061),List(37827418, 19401881),List(76073085, 38938524),List(74763264, 77962379),List(22382798, 51745654),List(36242253, 15017207),List(98870263, 69758052),List(46008009, 39250166),List(76639906, 61277551),List(40389364, 53823778),List(80935427, 65989615),List(33658226, 98287253),List(80250714, 18557033),List(96996003, 15891232),List(86128601, 51797545),List(33856962, 25808625),List(9165281, 69410011),List(57787011, 8371895),List(56332290, 25978687),List(88575549, 79443411),List(21362321, 34655323),List(83838557, 4714549),List(16125878, 11208080),List(77876830, 70262830),List(83903617, 70676270),List(53708137, 27036763),List(82697004, 93304932),List(93927270, 17081871),List(29739687, 28984321),List(49693815, 211395),List(96509937, 98921299),List(58283881, 78663603),List(61448274, 23372704),List(56972731, 23075511),List(60253297, 53847356),List(4348987, 36725285),List(30566450, 12714183),List(97976080, 70152558),List(23547292, 87324790),List(46316929, 86786307),List(64205703, 15095148),List(64561230, 11629470),List(44758131, 8839839),List(77153531, 82563440),List(62294949, 73510893),List(71569853, 15077288),List(44974683, 80512150),List(19758718, 73682728),List(87044285, 28603220),List(48690013, 91573101),List(69702152, 53183231),List(23846986, 68441693),List(71561639, 75004042),List(47827993, 41697652),List(95048043, 60987801),List(99771411, 16397438),List(67047886, 80023147),List(18779477, 98849981),List(59679090, 59366431),List(22571359, 3864847),List(19767042, 20725388),List(76127780, 78461615),List(16185221, 56157681),List(69771857, 17930925),List(92744276, 99779455),List(95990927, 36468221),List(49897913, 18098795),List(74386518, 6186852),List(99419412, 41890511),List(48256082, 28788666),List(49789360, 30044171),List(56734294, 68387652),List(40501236, 88078088),List(19817046, 18982634),List(20332810, 20704406),List(86429520, 89790093),List(97920226, 80598485),List(82505929, 81316827),List(62033943, 88025789),List(8234660, 71574596),List(90753996, 6906541),List(49273662, 44028506),List(93679099, 12464644),List(58413369, 85866522),List(30419297, 33142351),List(57404670, 59542282),List(45421732, 40695474),List(50573555, 35153871),List(64017528, 48557988),List(19536967, 50638743),List(29782953, 83505502),List(47693746, 75267415),List(9882286, 71555968),List(980497, 62340752),List(72578001, 56860424),List(90795862, 39427191),List(80266474, 42915177),List(61438857, 88500670),List(11792252, 89735024),List(59631437, 62605852),List(83142546, 29077345),List(79286548, 84170298),List(31955033, 80168151),List(35507460, 53107158),List(89484738, 16450138),List(67769123, 77088254),List(17015800, 82688719),List(28114528, 86931152),List(97918423, 73942300),List(59095888, 71117653),List(4864949, 86157679),List(16543700, 42956307),List(4971781, 36698885),List(90528951, 60640553),List(10153745, 81932104),List(50383037, 16891255),List(95110464, 29950004),List(13850662, 47083877),List(76605753, 61065498),List(91298512, 14259908),List(27595484, 51881824),List(697761, 92385485),List(73112824, 49898311),List(49503226, 88921920),List(2956094, 44719157),List(53188876, 73927128),List(35527108, 80617803),List(37402602, 30745633),List(18996628, 91629495),List(18362111, 32471761),List(98879299, 96225735),List(57363512, 80499269),List(21981340, 11801707),List(88095558, 20381490),List(48664860, 51007359),List(77528489, 57419103),List(18455673, 58249079),List(67070648, 9773309),List(55329377, 40903507),List(57603580, 26855929),List(71615763, 19548952),List(57888053, 39015992),List(72394199, 19594306),List(92085877, 79098957),List(66131210, 67039383),List(80539722, 75424999),List(21931829, 7349808),List(41909569, 18475458),List(95791083, 73986103),List(51261406, 98005048),List(38702126, 86939888),List(74753730, 68804051),List(63181301, 71660282),List(41975711, 23171557),List(80416283, 22035080),List(85222849, 2266967),List(33964110, 9110229),List(93617297, 44905525),List(81928336, 28202784),List(74645330, 96335599),List(14977875, 84578527),List(67883075, 59587913),List(4761738, 70501128),List(160114, 18537298),List(70266967, 83680998),List(58347216, 2653936),List(72058179, 48450),List(69003117, 66997954),List(48152822, 48864343),List(78177107, 73824657),List(35908076, 29711963),List(33754459, 70279513),List(50233334, 62256001),List(74069648, 41892906),List(75876149, 80353239),List(86307772, 12030227),List(6891518, 54128155),List(69868773, 15159582),List(65922641, 29669759),List(12899249, 57089201),List(53398691, 67393655),List(43266889, 94521338),List(81169682, 24414768),List(30035751, 8882353),List(89589549, 26512743),List(13777992, 12982102),List(81108665, 56888358),List(45577309, 62660761),List(40488362, 1425585),List(69886238, 94375196),List(93852692, 11481825),List(55354629, 39928754),List(95985386, 31373553),List(51061046, 11474686),List(34502107, 50591412),List(55687517, 72798530),List(98144601, 56905309),List(9669199, 48792282),List(83720479, 98922869),List(32314434, 52100051),List(83888235, 63361729),List(63508845, 31077436),List(2989530, 15127501),List(91854529, 67887689),List(73929876, 58414187),List(67662445, 74789427),List(56613890, 78986782),List(83156244, 94445771),List(61437049, 80505335),List(46570927, 66929082),List(28600222, 87225844),List(52286072, 55287640),List(87947982, 1628181),List(90411468, 20560795),List(38300016, 77819218),List(51093588, 65480225),List(4595145, 77188998),List(6656233, 20017993),List(55352225, 92827055),List(96113909, 147846),List(87250430, 49603907),List(1744828, 50285986),List(14639159, 1306049),List(15813415, 69329885),List(54079965, 75846404),List(53545553, 60099878),List(88645682, 97902804),List(63284154, 11211205),List(77560332, 25198984),List(42116400, 61081454),List(73598600, 98090082),List(47559455, 62576136),List(29535241, 44177109),List(93854601, 9551122),List(50973964, 11582956),List(48031206, 49562540),List(9830463, 79685148),List(50354889, 37869067),List(54250470, 68574292),List(24672942, 65810205),List(7389655, 68472417),List(85458250, 28668364),List(63985817, 45556593),List(28304465, 9817651),List(42631593, 79642934),List(66457736, 2730900),List(26704126, 24185569),List(95600350, 85192851),List(10730169, 70140838),List(57735158, 48955548),List(38904052, 77741655),List(13791926, 21559308),List(78886155, 95177132),List(72602861, 20420316),List(72056269, 88571933),List(48239574, 90639060),List(34263353, 77698245),List(15257064, 16793494),List(45209880, 10520728),List(44073276, 26141678),List(88673983, 37807062),List(11793328, 86671812),List(81895007, 1460515),List(81316911, 44314003),List(6250303, 72062341),List(92303233, 49976415),List(13111223, 52814009),List(21095793, 67887515),List(67487395, 27430590),List(84881010, 3430817),List(75176051, 96471315),List(10407905, 36975619),List(57027474, 8986551),List(57528416, 10282040),List(5003565, 11301374),List(65058792, 40096468),List(62433437, 11568864),List(27092922, 10607194),List(98089860, 27198838),List(83094101, 99432802),List(89886488, 95310660),List(20549285, 23009202),List(46981153, 12208602),List(53969331, 96485756),List(7418241, 96098269),List(83030821, 14540123),List(41655776, 92928449),List(1435898, 54462238),List(48548875, 84020663),List(9172273, 3757708),List(73856846, 33021613),List(81841483, 46333220),List(23724344, 61737854),List(87376492, 17253701),List(84818013, 35959837),List(25547998, 91725502),List(68253449, 71755116),List(96996104, 96175306),List(97980933, 85551192),List(60744969, 45541178),List(40453620, 9714488),List(11026632, 74668581),List(58668053, 35352883),List(24679019, 72743754),List(14056088, 41752527),List(50663380, 23440063),List(32097269, 83321785),List(46554096, 29260574),List(13703044, 71735051),List(19210239, 23315125),List(29148894, 87495428),List(10365253, 57120959),List(53344135, 10522248),List(55240155, 73976035),List(97229710, 60860034),List(51834868, 89824179),List(36977993, 43475144),List(79667211, 2045000),List(63514389, 62748604),List(65523457, 51433827),List(19661697, 31443591),List(54300209, 98782539),List(91499623, 62339368),List(11690245, 98190621),List(21733301, 22536473),List(17704202, 4015492),List(83341736, 62795240),List(35373578, 11892555),List(88202327, 11156038),List(44009663, 52724940),List(7327154, 70306142),List(35234921, 7608064),List(31658398, 93665859),List(1877328, 58184952),List(5639648, 69315020),List(59288287, 24418801),List(73838929, 38916491),List(69427454, 2243634),List(50196787, 15580985),List(20481467, 69682427),List(1995606, 10167851),List(87382062, 93082293),List(30915052, 80584312),List(41698906, 54940022),List(60863845, 22888903),List(10899041, 68250521),List(59880102, 97086467),List(6717562, 51926007),List(54290089, 50420315),List(18307229, 96372986),List(27617015, 82620751),List(51176071, 16265661),List(22740996, 76340806),List(75905909, 2204750),List(15689994, 2278446),List(90007450, 16035909),List(74951200, 92993489),List(29188400, 57913414),List(27842, 81255151),List(37928731, 65706847),List(76371890, 38738884),List(14426601, 57828045),List(95207040, 10537754),List(90444460, 97597822),List(33523891, 65087712),List(88440934, 78090749),List(10705896, 93038560),List(53559639, 43623150),List(23537173, 75596830),List(36977907, 63523274),List(64597958, 61137898),List(92198247, 37109647),List(6284374, 38260676),List(23476932, 83385501),List(45099619, 19085485),List(59280808, 75146027),List(77558868, 90838488),List(18399071, 90484273),List(27106391, 82167252),List(37211128, 20919945),List(20737556, 45287377),List(2102271, 99203417),List(48524271, 52890626),List(52331575, 26882020),List(10511542, 82623401),List(12742641, 57989266),List(27279411, 98121591),List(85038923, 59723186),List(42022051, 89534614),List(7043470, 44658918),List(66815049, 71534661),List(1362604, 95008378),List(65446639, 20666010),List(48019170, 98178996),List(67549851, 68132501),List(99925920, 26048828),List(84435894, 63460327),List(98547300, 47931407),List(24857707, 83016300),List(21267216, 71544089),List(39511282, 5517566),List(19818837, 41369282),List(52021524, 29473787),List(28488908, 4109009),List(49566285, 40141887),List(93194582, 4738102),List(5601621, 15742099),List(890925, 61413646),List(88089089, 30345984),List(78447452, 21100014),List(46105443, 86536185),List(64391452, 64818714),List(53119874, 91693075),List(40155714, 96531008),List(25473895, 27319137),List(97771063, 24431111),List(1449265, 27537446),List(26774703, 87949329),List(63913276, 78114299),List(31229865, 23309697),List(32263027, 84377375),List(84647380, 90717802),List(29813253, 50743383),List(47634990, 31834457),List(70278425, 84070858),List(59274645, 5716097),List(68809419, 45584168),List(88319120, 80265722),List(90597533, 63273079),List(64854436, 56547502),List(18292012, 4110011),List(49631022, 48321662),List(57294846, 45552977),List(69267141, 33276200),List(17637975, 452260),List(17690747, 80241505),List(35826650, 48505157),List(49470967, 34241645),List(65285361, 51745301),List(98516427, 1048432),List(94401998, 10464220),List(86792023, 53360487),List(69990045, 7616517),List(51024152, 63746675),List(69027666, 94553163),List(27120436, 37148673),List(67037302, 35081249),List(74134320, 37794570),List(91028190, 8062874),List(23814388, 52306715),List(22374074, 38219224),List(29862615, 62647462),List(44392210, 16684941),List(23289262, 86314446),List(99660910, 44787617),List(11720285, 1523642),List(23329883, 88205321),List(36472594, 1228685),List(29713108, 6325188),List(61377473, 74115561),List(57796848, 52771237),List(38588045, 31355504),List(55059234, 16831225),List(60643958, 18881404),List(49400654, 48649355),List(85382694, 92469499),List(22468604, 37105530),List(96287372, 24727875),List(70535594, 1727992),List(59554153, 8694459),List(70090949, 35733799),List(20976412, 54074582),List(43120126, 44549397),List(92415391, 14445400),List(38482255, 47658822),List(8426192, 76615403),List(3453396, 67895951),List(28007610, 27617644),List(35850186, 62849136),List(38760051, 77407972),List(96757269, 50239507),List(69947444, 77051782),List(81894279, 50966436),List(58498451, 29239909),List(91081071, 84130965),List(52312723, 31610971),List(23183203, 54035656),List(6898021, 20431664),List(13554410, 49021278),List(27167487, 10906869),List(90006852, 25670415),List(45431125, 85830586),List(80322216, 83365603),List(82044674, 7570386),List(4949696, 46255218),List(68556549, 96964730),List(14565060, 44635882),List(71719086, 60691645),List(9642395, 7183257),List(93704615, 73986121),List(18491189, 60218910),List(93360404, 49806330),List(21359809, 34385920),List(95441482, 17780697),List(90717773, 71634139),List(50712228, 27027503),List(37691985, 8523876),List(89863172, 17570047),List(62956542, 40114856),List(70709413, 81911836),List(73546665, 15314517),List(90099648, 69027654),List(40500209, 53715996),List(75760342, 37432524),List(82569243, 93990472),List(91915336, 21832827),List(23132014, 22427989),List(39741225, 93070219),List(31699361, 6655837),List(62853295, 3264381),List(20057644, 21777762),List(18261997, 27401216),List(92728617, 22378621),List(61924378, 95432289),List(17915754, 2198892),List(72347608, 77057423),List(93087050, 11723187),List(62388079, 9513305),List(57163721, 27496758),List(92479137, 17195750),List(85726859, 86052338),List(44751630, 23040732),List(55760271, 99052326),List(78056867, 27111723),List(2820251, 52467047),List(72587586, 45117940),List(61659938, 29056994),List(46097056, 71812978),List(7151592, 37757987),List(12756213, 16174227),List(59530566, 39914225),List(4986047, 68877087),List(1526865, 91658800),List(31795158, 93808094),List(41361019, 95891027),List(30098509, 77385916),List(61719917, 2469752),List(38739930, 30508587),List(34201191, 5807799),List(92349795, 77241961),List(34086229, 18823038),List(79373964, 39848914),List(69742417, 55373819),List(24603153, 77738184),List(95555167, 28682092),List(54583635, 73042530),List(58585592, 53940435),List(31221983, 85265842),List(32105307, 72133874),List(11245738, 76159532),List(21737201, 16150689),List(13539188, 92249612),List(95716637, 54093458),List(7065959, 47393330),List(96957241, 32685169),List(596987, 51721877),List(72464474, 95843621),List(85286811, 40933836),List(92871101, 53811546),List(98748083, 69077608),List(88435637, 62118786),List(10685969, 34524435),List(9012803, 45088045),List(61402743, 88317944),List(38700861, 68156388),List(37552161, 87862934),List(81676193, 76126414),List(75314686, 90029811),List(58831227, 7642816),List(39716142, 81698820),List(31120385, 39038291),List(51501548, 99995751),List(25578495, 79189562),List(94294997, 62844495),List(29730804, 26957253),List(55468950, 33619134),List(12638025, 77735313),List(39782323, 2497546),List(15751777, 20460606),List(65309460, 39037911),List(19451287, 3419907),List(94483045, 42112265),List(83324221, 85634848),List(72107850, 79181564),List(22208048, 46222427),List(29613929, 77129390),List(6046895, 30039037),List(61836009, 35224593),List(79730030, 88283006),List(54056618, 82408388),List(81403933, 59113817),List(28209105, 44962767),List(62961220, 86763293),List(45749622, 95999265),List(75169467, 54162630),List(17597005, 79476194),List(73915119, 43585420),List(87507003, 33329817),List(67555687, 17683383),List(70499825, 75551265),List(73533290, 3259673),List(36863815, 10418048),List(52763047, 50338205),List(81316975, 34060005),List(42404347, 78130965),List(73529405, 22204596),List(72099700, 90728561),List(1093064, 39127728),List(30649600, 47877793),List(82045594, 76480095),List(6338008, 44259130),List(85956445, 43472808),List(53980723, 72430762),List(98644132, 22844728),List(31305283, 70651684),List(20833642, 82337353),List(9831543, 65774509),List(90878756, 93047154),List(21682297, 29011598),List(59379344, 69113985),List(50174006, 17436110),List(26008, 13662573),List(97688417, 41087210),List(40910188, 7892235),List(43459727, 69968582),List(36960784, 25380058),List(15540423, 1455264),List(96540283, 70365260),List(31120445, 98377696),List(47830802, 50958973),List(40270897, 34415642),List(84601849, 97947874),List(63964228, 92913074),List(83384815, 49232774),List(80470469, 91806463),List(78335397, 13450230),List(43256867, 48651880),List(60920782, 99604900),List(2024458, 23250647),List(46093059, 70981957),List(51638809, 24737930),List(71358521, 2029477),List(59137104, 9647106),List(57449865, 50214654),List(52696901, 96506120),List(43759431, 28069571),List(12346336, 99270165),List(23898430, 31290811),List(87115702, 44701188),List(57864758, 17890336),List(29278124, 13891475),List(65865913, 92824944),List(46840240, 39028120),List(92787505, 62067851),List(99996502, 84870239),List(89562821, 99050882),List(9865218, 48626289),List(68664657, 64549092),List(61236938, 30592836),List(40798025, 29446672),List(2879373, 9167228),List(87856376, 68929259),List(94560029, 50368888),List(21128946, 62591081),List(51432722, 19790944),List(58459578, 20123579),List(56707436, 81684629),List(60676579, 11792085),List(14445893, 19579459),List(12935566, 44825398),List(5374643, 50387311),List(29364149, 5225248),List(83294838, 32903435),List(5045327, 66856199),List(48618030, 83500992),List(59977079, 65309361),List(8328870, 50432795),List(23528874, 97694740),List(16597755, 21477930),List(96262671, 26288841),List(78080561, 20789509),List(10456252, 98219539),List(39559558, 62088842),List(9220629, 79555978),List(92441771, 11249295),List(67131256, 96702656),List(51583162, 50055828),List(86098328, 51169090),List(8761736, 85374277),List(3149455, 66789599),List(98583011, 68704408),List(52859854, 66182622),List(56397509, 30712107),List(49126808, 61530444),List(26055648, 80955361),List(59676526, 45347678),List(36073844, 68765113),List(50582821, 59223429),List(33074127, 17421258),List(26942355, 66993785),List(70117687, 46325311),List(57304608, 61162243),List(27454224, 25121749),List(68435748, 88594626),List(81524085, 76868570),List(12529532, 74621201),List(26749755, 94052225),List(93341505, 44852507),List(38549405, 70196919),List(77733470, 46072960),List(8807262, 48964181),List(165043, 39041653),List(20775749, 26913763),List(73877080, 14921525),List(81210831, 18711946),List(38919938, 11042563),List(49608165, 55914402),List(39463353, 78585601),List(32277347, 79582518),List(898460, 99800606),List(24839345, 65187376),List(81790874, 31766826),List(44461290, 77645424),List(97125511, 13764379),List(49678795, 90782978),List(77931443, 90202936),List(87679223, 25984560),List(26291198, 60480925),List(93193616, 5712568),List(91319702, 69635076),List(43924079, 38689984),List(94089438, 31857243),List(99900706, 62809504),List(98766134, 36781420),List(71309110, 55694477),List(73374570, 55248952),List(58987978, 76718022),List(42874549, 6008004),List(22903700, 26484846),List(91461410, 64336231),List(64924415, 76617951),List(16810059, 4578001),List(44632801, 42137185),List(55536073, 25721306),List(65848683, 22195258),List(6071231, 88686696),List(39274818, 34771086),List(19960550, 26982967),List(96747712, 54464099),List(50730578, 94284160),List(62400785, 47705544),List(33225602, 85270871),List(20332375, 71684648),List(74595305, 3818576),List(65243483, 6103152),List(71870258, 69674490),List(33772903, 45958386),List(31114559, 40612442),List(28871674, 82031399),List(26457080, 60126550),List(7894658, 2488113),List(13927506, 95624251),List(4950292, 62325107),List(55629033, 39786989),List(50895704, 99460659),List(79476639, 23148928),List(52665843, 44570585),List(74850158, 18610167),List(31888801, 30279820),List(72161439, 81666679),List(66661551, 97511306),List(72832738, 27687606),List(24860132, 80696528),List(35890282, 24845158),List(81846, 39783301),List(90759490, 84546003),List(42120580, 25868841),List(11906730, 22555864),List(38512529, 67844446),List(29562900, 56822076),List(79899631, 66149124),List(52980993, 6212341),List(27754044, 28928388),List(17711512, 69318321),List(39681181, 27895110),List(86600458, 51299396),List(31833078, 83213376),List(69703566, 448444),List(60244392, 50963189),List(93044074, 35203311),List(97145129, 81244039),List(71262879, 78454972),List(13130899, 5678672),List(88018980, 99280055),List(21114718, 89052792),List(11424182, 33260224),List(52935740, 84620277),List(75503314, 34747818),List(2773754, 33503262),List(79318731, 46589490),List(33634240, 2905506),List(40182972, 8273568),List(62652356, 88282170),List(46834441, 95499967),List(32101802, 59396499),List(32418949, 78738096),List(62144023, 12944221),List(20553528, 20475354),List(61520694, 33012076),List(60505785, 17203869),List(8067049, 66941430),List(85885688, 20348698),List(15024516, 52974248),List(81919049, 77349731),List(48906612, 5960141),List(58595794, 42849711),List(83929878, 33934684),List(72932647, 26031488),List(84341225, 64325362),List(21195820, 95323916),List(25026290, 22810488),List(31200891, 89906032),List(7497143, 39460177),List(98863573, 25491138),List(37874055, 2787671),List(86120079, 16388436),List(22427609, 23587872),List(65045919, 35467296),List(68286098, 4863727),List(50109633, 8005258),List(45925878, 21435544),List(82852320, 68488174),List(40019218, 7111156),List(84746849, 66389378),List(11175938, 68044198),List(62545390, 12711494),List(28549968, 45627765),List(5971379, 82924882),List(33209752, 85590638),List(96674278, 29527653),List(50071008, 2317226),List(27826616, 50092820),List(29553161, 82788442),List(62093819, 47286917),List(42220375, 73686085),List(19824114, 99775900),List(73655040, 64713558),List(49797396, 17942328),List(12309209, 1997596),List(63204601, 82392258),List(79832442, 74257835),List(78920998, 82267331),List(72340527, 14515023),List(55115240, 6705177),List(44931737, 25846299),List(13715191, 49120449),List(50051729, 90744288),List(25604598, 60733587),List(91939763, 92880021),List(15200432, 90498312),List(60218170, 6934316),List(18185841, 95753525),List(9098379, 45434281),List(76331473, 73731611),List(18007013, 84864189),List(89239889, 57145751),List(88677587, 1160605),List(28491048, 99482494),List(39483715, 12116908),List(71786409, 46347132),List(80574745, 5236593),List(91912578, 34402033),List(91444511, 42118307),List(37112803, 4941813),List(81469240, 33976149),List(90874441, 95270986),List(25303674, 62405510),List(72239705, 68361490),List(73999529, 89529034),List(77279653, 77018319),List(7221915, 6175301),List(40627314, 94589358),List(12823493, 83068227),List(65259456, 63568307),List(34966432, 61895677),List(77575702, 57293994),List(56351719, 16531548),List(71128879, 47036022),List(57487588, 97696099),List(49494460, 53313150),List(59313430, 11223930),List(52173004, 44648104),List(39672156, 37336044),List(58263615, 67074972),List(22438875, 76211677),List(64220222, 9144633),List(50354648, 88136776),List(10918004, 3090531),List(67703639, 54940741),List(59551763, 55109815),List(80904695, 3138657),List(81131069, 8984496),List(33666843, 23471216),List(81649260, 82524848),List(10480523, 76222979),List(50675336, 70345990),List(72582556, 43616958),List(84419199, 96625977),List(14406802, 3063889),List(3319076, 11044819),List(22428888, 86334981),List(33953821, 28150193),List(69493259, 96847016),List(79827807, 59077159),List(89141946, 60851635),List(7376653, 64707000),List(51054374, 98430353),List(57815883, 61679986),List(90608180, 69196275),List(11289293, 15764746),List(5230914, 8841821),List(90754796, 77325454),List(33554904, 35364292),List(10474219, 73182114),List(65023027, 2925439),List(35346977, 62879879),List(54633632, 17627947),List(21360693, 74257736),List(78365820, 76199857),List(59375838, 81825668),List(29328767, 97070975),List(63579419, 19506949),List(47731261, 42669271),List(37787218, 32693710),List(47646242, 86194744),List(14858473, 51387817),List(7242995, 43413372),List(9421761, 93125643),List(71799108, 30741075),List(18201262, 72654784),List(67018968, 52847624),List(73778849, 96824345),List(75938001, 89086817),List(10126971, 38002670),List(66854484, 3627353),List(27573282, 54213154),List(86181766, 48799059),List(11046938, 41499158),List(85468727, 92597634),List(45597628, 84334277),List(54395392, 6616885),List(9199291, 63433333),List(10176024, 1813027),List(7515063, 32273126),List(84529380, 63398762),List(3090126, 31220196),List(88383212, 69256044),List(47813859, 4436493),List(71649873, 22090611),List(76752131, 51376958),List(14558579, 29019572),List(14215984, 36624576),List(29156800, 58282921),List(51716545, 68090963),List(17291133, 30745491),List(6804874, 78028874),List(49606883, 38687495),List(13155450, 11268756),List(83629615, 9237072),List(48304149, 1080944),List(42597150, 88836009),List(84427814, 72501358),List(99113199, 66574298),List(84030840, 26012181),List(2668808, 5789918),List(48705708, 99588394),List(41679364, 26341434),List(78186342, 45967534),List(45294592, 11621360),List(88953370, 32173272),List(94835300, 53290835),List(26700834, 94805928),List(60289131, 41056493),List(39446246, 31095483),List(85987972, 48732277),List(38707098, 85219458),List(94865910, 6933066),List(58569598, 99845529),List(44858502, 60225623),List(97502259, 28750969),List(84747811, 81914099),List(21692156, 36515152),List(87609821, 94836198),List(37273167, 84101491),List(48434657, 33082277),List(64325481, 90128870),List(76962289, 73601551),List(17545547, 82851769),List(86473351, 21289965),List(90470830, 10005851),List(23158878, 17033993),List(44602424, 53395845),List(44243202, 77347950),List(68516594, 79287339),List(27810492, 81069718),List(90162757, 30098908),List(66194493, 12636258),List(28384930, 87650347),List(43714693, 39340173),List(91168662, 76060024),List(84298878, 55947552),List(89314472, 18816713),List(40962593, 63057447),List(8483620, 79620264),List(44591286, 15153427),List(72693606, 62799222),List(48163921, 42730555),List(82910234, 31635907),List(12924917, 15258296),List(51861416, 81984842),List(86438721, 53274180),List(10528790, 53636468),List(49819861, 19915872),List(49508524, 70050030),List(85167872, 57301362),List(17476079, 4572411),List(94970184, 62621039),List(65964374, 95110426),List(85042060, 97648146),List(87709803, 111675),List(89922960, 80590580),List(15921428, 69249445),List(33519028, 73735622),List(96199999, 43140367),List(63267518, 31404847),List(50685772, 99558790),List(51186024, 9862824),List(91460262, 78854434),List(58822608, 38437057),List(68579119, 11449572),List(52180935, 4927185),List(25196141, 46531471),List(52773787, 438360),List(94309343, 94242616),List(47868727, 10758421),List(48716829, 52449467),List(61172558, 9542025),List(78657601, 58265241),List(15716731, 72506234),List(44542831, 20587020),List(94227920, 68328927),List(48674648, 43085206),List(88170908, 90237378),List(39794055, 47096437),List(10538745, 80584781),List(79477273, 85863907),List(56991408, 1575226),List(10343098, 77029395),List(61831279, 22784618),List(18930508, 41364901),List(12388615, 14414576),List(75413584, 63484713),List(10803238, 74974479),List(88760928, 9707236),List(16809890, 24296336),List(12942428, 34056136),List(99675357, 22659198),List(75065272, 86717906),List(97843627, 43204453),List(14952254, 77393704),List(70083450, 3969347),List(48955947, 87361749),List(64849526, 21877321),List(19051340, 57474907),List(22229407, 3911187),List(42084640, 24278873),List(35829409, 88322930),List(11577585, 2084397),List(15669521, 71937122),List(84800200, 51247971),List(78818961, 40937048),List(86925312, 83047942),List(20291493, 14653690),List(75353934, 47317596),List(24888251, 24277708),List(11571933, 78719741),List(15887793, 1506444),List(24703538, 10098983),List(62440902, 3096471),List(786986, 9377725),List(88778202, 21615371),List(7340550, 39509118),List(46295953, 26970514),List(64555092, 61112968),List(48857878, 59656880),List(13962826, 5141094),List(54634700, 31189660),List(28274729, 48789879),List(5092456, 10171339),List(32047729, 27097613),List(67996724, 55334443),List(22119535, 147005),List(89347689, 39362871),List(29137778, 53035433),List(44084315, 71172028),List(39324756, 98017125),List(87972932, 31588096),List(61047244, 28966511),List(56941421, 9552259),List(59843704, 75077299),List(38398023, 10142085),List(89497630, 95554269),List(11605781, 76768762),List(61525595, 84044958),List(59751186, 65055351),List(45886224, 81825070),List(18922532, 56496300),List(7714495, 65113453),List(42601566, 38090727),List(74734073, 54710396),List(48286454, 59630336),List(7200694, 74247003),List(51934933, 4785146),List(24299267, 42262641),List(18185693, 26479142),List(56767319, 6692185),List(78663609, 47593196),List(21497724, 84236150),List(99328165, 69792152),List(52292406, 32246710),List(18190283, 3405804),List(19383205, 46296475),List(55755262, 1177128),List(26756622, 92752536),List(35921588, 25125279),List(45592879, 12503406),List(40219025, 34002394),List(77983893, 50951535),List(76815983, 17780935),List(69755485, 88007958),List(83410860, 82887163),List(53634940, 78595458),List(98803800, 38102168),List(98592594, 69527442),List(59704528, 94208441),List(35662502, 31139595),List(76709798, 58803429),List(46746040, 60426272),List(36841840, 87244922),List(40669084, 5220673),List(71390866, 20007510),List(36657649, 6364863),List(97983709, 92413347),List(99540745, 30524754),List(38627869, 96163996),List(42697625, 76650803),List(53801646, 77129560),List(44235990, 82976516),List(3190380, 62761923),List(29833429, 49119404),List(36124624, 31706728),List(70442501, 58188075),List(51158317, 30721330),List(71340717, 2683726),List(40301303, 7849049),List(88971748, 585505),List(49704991, 73955621),List(20319166, 58659032),List(19771736, 75931974),List(39703284, 46030046),List(61186018, 95393243),List(45522286, 42025549),List(40365720, 42137211),List(1016728, 72831854),List(74043657, 80318518),List(88755948, 82566428),List(37506543, 76707157),List(46335180, 51210469),List(40578641, 11095920),List(81988436, 73462091),List(52858198, 48036178),List(42253886, 58613328),List(46039364, 79596637),List(49981640, 6925076),List(36710332, 34607844),List(35495783, 34245643),List(3853495, 56433646),List(88922111, 8365073),List(90403439, 78223062),List(95150380, 85090133),List(97893960, 41057775),List(3061746, 6422321),List(47647798, 76076223),List(51905744, 62491537),List(29194266, 11118922),List(78620646, 8862429),List(15100524, 83822945),List(52142836, 41692401),List(40725177, 86693173),List(77771298, 31935987),List(285270, 73928143),List(81915624, 31015990),List(28615062, 52163589),List(83784753, 69730037),List(28058622, 45068530),List(12003859, 25391816),List(12482591, 21021248),List(77436643, 2773835),List(57319602, 16241415),List(40521684, 39960659),List(85711989, 14262075),List(18150886, 86291340),List(59965225, 15473146),List(7153950, 77798686),List(71534561, 90171917),List(47270172, 23604287),List(74503854, 10494593),List(82700690, 31645841),List(88100103, 8843816),List(26538732, 16908673),List(87188080, 66129503),List(43480666, 45034582),List(61768962, 61145474),List(21366226, 36321849),List(49886417, 33599506),List(44817756, 55476088),List(45122148, 10143238),List(31727009, 8565679),List(17706467, 71125924),List(96169795, 90282458),List(27672844, 64619878),List(53954605, 56130346),List(70909811, 64427703),List(8538209, 43577409),List(52904663, 59484630),List(67105856, 23523672),List(75729794, 13160160),List(25888887, 89776027),List(29789477, 63116410),List(38050160, 76510529),List(31477872, 77693920),List(93169856, 97134548),List(38858628, 36465077),List(36819578, 80147961),List(553059, 15980628),List(36858291, 29583199),List(968841, 40363926),List(12137066, 72448706),List(45054932, 90133844),List(22789756, 7911152),List(12451856, 10295059),List(25958471, 93363282),List(81887909, 70573501),List(70427341, 22562526),List(48766693, 44708343),List(99176219, 91169522),List(13469583, 7903249),List(58028971, 77044286),List(38166952, 90185492),List(67818891, 30581266),List(43017469, 3542351),List(16063764, 13870355),List(57652236, 86777004),List(61907163, 50593666),List(30749703, 86676881),List(46451652, 9303950),List(57374982, 69598461),List(18378434, 9684363),List(56551875, 28117119),List(14848934, 3868550),List(89452800, 90390362),List(74699390, 653277),List(32628844, 5119212),List(99665132, 46003891),List(94057830, 88482047),List(84975775, 71921065),List(61783750, 33392343),List(27385603, 42445723),List(74095223, 29604526),List(58739312, 71537702),List(30603410, 31841315),List(77607875, 32500510),List(87649005, 91790371),List(11608096, 84508233),List(5809676, 95503812),List(11657625, 30754279),List(23916750, 19659327),List(98393383, 38116948),List(94056333, 40221886),List(41868160, 6016495),List(26988751, 24415639),List(33640708, 65907484),List(18469825, 42961871),List(96185387, 61413537),List(93084699, 23268417),List(98163040, 35799348),List(3737746, 43930900),List(82654123, 19065360),List(41714920, 32093231),List(6348182, 55308237),List(11806391, 96800034),List(96926851, 44542840),List(52939050, 97502551),List(22330659, 77138286),List(74671214, 77455591),List(49355436, 66146218),List(55290088, 54869875),List(82295785, 66518739),List(99323009, 37004933),List(99626657, 58233437),List(24623383, 58014971),List(68660933, 13682017),List(82970767, 2876465),List(56905965, 81638073),List(37558475, 95903193),List(95512538, 99883072),List(9354478, 71535016),List(63205438, 40276767),List(68482262, 63498498),List(36594608, 40476778),List(14102311, 64405440),List(43629417, 42402762),List(35634996, 11039128),List(88645543, 72098868),List(14528024, 71442932),List(49349417, 15830248),List(44737714, 16588761),List(4169630, 12508605),List(51757693, 77880349),List(67171676, 47033826),List(65479065, 87872677),List(97162745, 93041068),List(75192482, 64874019),List(46192807, 76057079),List(74218830, 94012835),List(26299500, 47660654),List(25855810, 73239786),List(36099403, 64987402),List(85375018, 73073261),List(59551864, 56512672),List(86798149, 1995816),List(77868287, 4802311),List(98506738, 34289181),List(37549518, 33100107),List(6464542, 81454710),List(55587681, 4578862),List(22466374, 27020313),List(24854540, 96984603),List(44354259, 97528640),List(3794459, 94012162),List(36849350, 4679038),List(57459859, 56402012),List(44557439, 76637521),List(52059618, 81861094),List(83032231, 85159623),List(81001963, 14130184),List(59128206, 10959537),List(85795334, 95007644),List(47968237, 38814812),List(79739492, 48787252),List(43378639, 47619802),List(66990589, 80209998),List(5509841, 6878749),List(87622141, 72174061),List(99721680, 32313860),List(61912712, 52720041),List(5336911, 44442357),List(57577588, 46922716),List(59779739, 81507145),List(68178605, 59053009),List(32480323, 47903482),List(27360441, 38369712),List(28540469, 43005846),List(58587551, 35293014),List(33122086, 56656186),List(51656312, 44857593),List(35317238, 36993915),List(69190226, 41005412),List(63228327, 51237312),List(2467080, 49671236),List(54290579, 67154860),List(52038049, 36763840),List(34206260, 53441710),List(60825332, 68588349),List(99520053, 13908039),List(37834239, 9171764),List(85277410, 64538410),List(45658009, 83218173),List(14881191, 96414522),List(67203293, 94032645),List(24278528, 3031388),List(93845036, 95844689),List(19826417, 50389321),List(52454415, 80993059),List(52783357, 70373057),List(12015996, 15243324),List(1099677, 66160178),List(33232505, 33152951),List(1580698, 20205673),List(14019417, 68748027),List(77587023, 61096022),List(50774372, 44647903),List(3142634, 63450728),List(38253641, 30274633),List(73608047, 97732148),List(51342754, 60358792),List(75343347, 98442053),List(64434659, 50646161),List(25038261, 94599024),List(15453830, 87307334),List(40304744, 80545805),List(22844998, 98553609),List(42158055, 41403651),List(60913200, 34399150),List(48998944, 91984623),List(67399474, 59578523),List(65827479, 31411632),List(5476959, 85023559),List(13971513, 95535677),List(66856836, 47818780),List(4480873, 67213416),List(52591447, 27668972),List(46585120, 7092232),List(89420201, 67103665),List(26486990, 15665699),List(38260981, 64444070),List(66880935, 34748853),List(85817751, 9072482),List(55737906, 28520305),List(57409938, 23510425),List(15685212, 71671960),List(70032121, 30186424),List(87243460, 51123810),List(40259380, 3196275),List(78380006, 51576239),List(8361890, 93537970),List(16981490, 47819513),List(95819239, 14287940),List(17403145, 26225141),List(45208371, 62895776),List(13588759, 20739644),List(71581719, 46930507),List(79181357, 15811219),List(41376760, 43634999),List(28801518, 18992357),List(72640322, 87590629),List(25224237, 44302976),List(1648518, 96238308),List(58165809, 73013597),List(9871063, 71647689),List(42426973, 48474224),List(43614886, 58300213),List(93096084, 9945937),List(35343088, 45145596),List(59249831, 86386563),List(20892852, 9519246),List(31807106, 8054527),List(78715609, 88585597),List(81299545, 58791081),List(8243627, 61818674),List(90021377, 53847855),List(50980196, 55802261),List(89810298, 17219381),List(45832487, 25184075),List(45189312, 5697563),List(93815365, 15967947),List(47458379, 99532558),List(99105172, 64968411),List(29607947, 38221671),List(36660769, 71308963),List(95736474, 63603763),List(45523593, 77647294),List(29181670, 82678267),List(16702235, 55729571),List(85615642, 13869234),List(54657969, 11960079),List(78608618, 17162104),List(75098767, 32908668),List(26830781, 14769820),List(81014839, 77188770),List(62256868, 86364012),List(14203274, 50161570),List(1825961, 59978140),List(75185302, 36962632),List(97508888, 41314878),List(69595396, 26106483),List(18663895, 2182378),List(36571137, 46155298),List(3016629, 34990060),List(18241633, 95953593),List(58854400, 85871922),List(27319656, 50104904),List(73277149, 1444506),List(22381636, 85946368),List(76436466, 4760634),List(65635296, 10893839),List(5974095, 25480350),List(50568879, 72450027),List(97023403, 7707193),List(56574879, 42670859),List(60494740, 48243309),List(33624703, 73594587),List(31185487, 92999793),List(1582718, 63845280),List(84155440, 55117417),List(76572210, 92011627),List(11523801, 30192475),List(45248960, 11525777),List(55500572, 10555435),List(44592053, 7229122),List(20535241, 46824291),List(25392939, 34006666),List(48853218, 95195803),List(20691609, 65571768),List(89845322, 2431995),List(99054571, 90536807),List(80241015, 78711294),List(68234384, 40253598),List(9723936, 11231716),List(34650326, 65587140),List(55920595, 25174747),List(31237367, 47884107),List(31859841, 89694766),List(52278770, 66394946),List(29213660, 29167357),List(43933041, 25204532),List(69824495, 39603028),List(85536563, 72160079),List(22594429, 72405499),List(51043817, 84859929),List(5294095, 29279407),List(38315885, 89491722),List(25785560, 60803240),List(40775559, 14449655),List(29760517, 59231032),List(29594903, 51645446),List(90835618, 20708188),List(53800640, 9175547),List(8551915, 25752831),List(52416509, 71702204),List(69507875, 2955927),List(43220709, 1250778),List(41974140, 54269597),List(95343008, 31018345),List(64701945, 7916405),List(20697401, 39527792),List(7446767, 86075062),List(55593615, 33628181),List(46696824, 81031789),List(6380928, 63376480),List(8725407, 87385085),List(54209730, 34873296),List(6858879, 88134098),List(71709892, 74568847),List(98866535, 35250912),List(78942281, 84771534),List(56377637, 63120770),List(49326845, 46148409),List(47082758, 1474406),List(52470520, 36960061),List(91201711, 46736286),List(51426317, 84971392),List(81821107, 99584568),List(117856, 64810137),List(4320832, 26340932),List(96921761, 44559168),List(95075824, 13705205),List(22878978, 79107044),List(80579156, 27475796),List(59892796, 19781289),List(51375610, 43220057),List(99472042, 17330583),List(95829788, 59580805),List(85866128, 85853070),List(29162584, 87072049),List(75138551, 15050613),List(4975455, 50487198),List(59987956, 4039643),List(41714481, 73604452),List(69648384, 51053257),List(42014757, 26142995),List(65045845, 22973353),List(19357456, 27646669),List(72856007, 31179066),List(73275052, 29551124),List(96871611, 2496306),List(55748070, 51449323),List(17576806, 26108067),List(22278271, 25922869),List(66843741, 63099249),List(85952041, 90642177),List(4583826, 32735759),List(74430175, 65266833),List(15932121, 8224111),List(8912668, 46781961),List(82622232, 35330621),List(95989523, 8647302),List(61165787, 73178342),List(64503639, 77769399),List(44301717, 72933657),List(86277608, 37932643),List(89365094, 86012646),List(8062899, 71759001),List(82549419, 10029905),List(40650872, 81076184),List(41949809, 53262846),List(20531366, 93868529),List(85330049, 68552006),List(38750221, 23034803),List(26001303, 53040357),List(91253284, 19038382),List(86356619, 11278269),List(36680973, 98965615),List(43852519, 1714741),List(31998965, 95233583),List(66449504, 12542564),List(49028301, 801154),List(16217070, 98631532),List(19075277, 95104941),List(58331352, 18645668),List(75012229, 7505132),List(50906197, 88458072),List(43669394, 65702641),List(30118800, 75280787),List(57712298, 8695021),List(25029673, 71269682),List(87499997, 153861),List(62217984, 35230221),List(90611463, 46392313),List(66126676, 35474274),List(56423961, 13335616),List(13025621, 33370476),List(59384278, 87101628),List(40379400, 76229650),List(15171743, 62349823),List(74452222, 32086740),List(88296066, 3206025),List(41615148, 48176376),List(80037498, 36000170),List(30197196, 70171757),List(22708535, 25250100),List(23765731, 73888001),List(14519197, 75691545),List(74964696, 72809999),List(5400601, 88057612),List(91326451, 60554897),List(22772643, 44235171),List(94570748, 92433771),List(48130665, 41687439),List(91793771, 64215635),List(39605334, 48015014),List(49581013, 6851529),List(94652802, 98095023),List(92146571, 37807476),List(84709858, 42899573),List(88671688, 21353953),List(24364682, 87436296),List(40389044, 43701062),List(66492868, 39982754),List(80402207, 63734495),List(23689986, 31852014),List(22468315, 98911098),List(72273384, 72029661),List(64186510, 74632637),List(71034360, 41885893),List(29550035, 44802892),List(71379146, 50339819),List(92419160, 79468749),List(79640816, 61176226),List(69218685, 12711005),List(87918873, 43756767),List(25163074, 14217511),List(58010754, 98476535),List(34474556, 1258018),List(25318611, 26480753),List(82178895, 55821652),List(51213568, 59513781),List(71208520, 53433362),List(65035918, 96154681),List(48712998, 31823870),List(13565118, 81461791),List(19454568, 26320652),List(19260681, 82555169),List(19730594, 72996976),List(7329407, 58493979),List(45591080, 59050669),List(22258370, 86055228),List(91010773, 17032009),List(76120982, 5107046),List(36312460, 86777792),List(25113751, 83019589),List(92452273, 27610328),List(18705812, 51850963),List(2559525, 70627713),List(67781261, 80082476),List(90066446, 8381258),List(50509194, 78318756),List(17327225, 6989487),List(2475914, 84910418),List(22148027, 425687),List(81189234, 78004318),List(21878339, 5506279),List(28608163, 89835771),List(48032675, 73291098),List(13679555, 26933523),List(33562934, 30923211),List(37129434, 31932633),List(9357938, 5569036),List(39789840, 47863461),List(90193816, 73554215),List(81921186, 7747587),List(7329380, 78690900),List(61595347, 6958964),List(5560612, 54587032),List(81995146, 41014609),List(41238250, 26478130),List(81199371, 89458950),List(22717285, 95935261),List(45418493, 94729252),List(96452793, 23058903),List(68914651, 30137079),List(9645237, 4542752),List(89807805, 84088368),List(36359764, 60546759),List(60733416, 3936088),List(83100544, 20976049),List(84749455, 98327262),List(57990417, 68050640),List(85253701, 95323117),List(39616656, 96244482),List(96298126, 55910041),List(97472738, 64881623),List(25428525, 19881233),List(60766887, 74310690),List(34230960, 14192528),List(90922767, 15641721),List(44219045, 12287979),List(90518266, 8350109),List(82004265, 24887619),List(79845096, 18985217),List(81143721, 5401261),List(44441203, 35654463),List(85084200, 64401346),List(86072337, 77883507),List(26456230, 80660359),List(97257611, 31917457),List(11905618, 36780985),List(87443216, 80206740),List(30050716, 54598297),List(47195711, 36194461),List(31310937, 54600577),List(17443601, 31453853),List(12931751, 11543251),List(83990921, 79899142),List(42228046, 31058198),List(8881060, 9016860),List(3992618, 13213149),List(5129293, 91489166),List(51184617, 61286475),List(56013548, 64639625),List(2024617, 22616266),List(37884716, 75245289),List(79375891, 8782684),List(48303704, 30163151),List(90382865, 48657377),List(69198898, 26417431),List(68901484, 54834535),List(92845411, 59756715),List(75773350, 43898218),List(61598385, 17188725),List(1263205, 55809703),List(85631238, 88057335),List(77188905, 35313014),List(56608297, 18447498),List(80775906, 82013762),List(58134016, 88543597),List(57200805, 52858306),List(67165235, 97957731),List(27114168, 13393201),List(38352891, 63282600),List(39467489, 35194851),List(48987897, 12723532),List(16308442, 75668518),List(4132490, 90573273),List(3167669, 76453284),List(69826859, 72924827),List(63405491, 55858538),List(64405362, 82407305),List(95619343, 46228203),List(95948351, 2361572),List(72050779, 73059547),List(7011231, 54976393),List(87840131, 73800424),List(28268285, 38523837),List(76402163, 99049202),List(99071063, 46747459),List(93465060, 36915671),List(95402056, 39411295),List(21000716, 39262106),List(72471256, 20998849),List(39344971, 6945448),List(49271708, 82278036),List(83383067, 76342719),List(11840692, 3049726),List(63425030, 17284671),List(43880957, 23973517),List(42783680, 20668253),List(65672772, 65567178),List(29132426, 24510677),List(84407664, 66059814),List(31368263, 79192856),List(93483830, 89948525),List(22550017, 88505867),List(34761166, 62530854),List(4392040, 96228637),List(48616940, 78220296),List(94100896, 54606061),List(53524942, 26159711),List(41397398, 86455438),List(93418709, 29686375),List(70586301, 56250975),List(55427759, 2344776),List(76040164, 97332161),List(53987430, 48188859),List(41183078, 52445706),List(58347734, 47213116),List(81067487, 20036150),List(4819234, 38031098),List(58676270, 76497126),List(36595938, 96688803),List(64645676, 39715242),List(5653868, 14815140),List(71684212, 8989265),List(24841499, 21404960),List(14846289, 63187012),List(80632262, 60517179),List(16193941, 91896891),List(61586266, 57173735),List(59744282, 63156318),List(25106761, 81523828),List(99009564, 48377227),List(66621311, 44915435),List(22495731, 10655016),List(77063841, 27954212),List(33550475, 64998388),List(53042895, 1569615),List(83133874, 70888884),List(76224193, 39830653),List(4776097, 71589016),List(49025957, 6010845),List(85558357, 10998771),List(45225796, 66153541),List(46329407, 69108806),List(35444430, 21633627),List(37451216, 57014361),List(89956514, 66296621),List(78395311, 14630280),List(23650821, 41525542),List(21817666, 51701578),List(74228494, 61406187),List(42889594, 84858904),List(80393367, 60901928),List(52406470, 23624302),List(29860809, 85489446),List(81926657, 90108773),List(51489904, 31568626),List(6144904, 79148913),List(68419859, 52346570),List(9579685, 8279591),List(28081253, 64758954),List(34617168, 24522619),List(82862537, 1556993),List(70459160, 47940778),List(86310898, 47637062),List(97708215, 8124423),List(91791693, 66798350),List(51856063, 61820475),List(13862849, 23558062),List(91136936, 72516768),List(57393939, 40915157),List(80503813, 64610335),List(75490280, 71175707),List(82401627, 92415011),List(45368711, 29973777),List(91029101, 70231561),List(29261044, 93089888),List(43505363, 42367543),List(19629390, 89480447),List(93802080, 96202354),List(69737744, 34523864),List(30633275, 82614009),List(56448723, 90925899),List(67256634, 45154447),List(17660269, 17132547),List(84365595, 99548987),List(7647867, 80898335),List(72810451, 88224851),List(1870629, 41105335),List(385577, 65600168),List(98888337, 91694324),List(53648248, 56440194),List(38298133, 16662390),List(58682365, 87039895),List(66258824, 32712881),List(46652223, 34416108),List(35077701, 49333337),List(20948509, 79711175),List(84881382, 2363929),List(17758179, 21094768),List(38179254, 90647879),List(38169503, 68129287),List(88470251, 76885466),List(87829791, 28359555),List(46048184, 98455918),List(98425222, 46471175),List(62010147, 62790477),List(49745800, 53811572),List(1814557, 4187478),List(12287750, 48374346),List(63707327, 61713269),List(80284100, 69757231),List(63594973, 3000719),List(67586581, 43581884),List(81512459, 54126881),List(14405910, 66494058),List(9222166, 52227553),List(36327999, 24923608),List(35951185, 91802073),List(58540246, 97171656),List(42222408, 15530652),List(55745494, 33424654),List(42073056, 578954),List(12404168, 6063431),List(47003178, 17161850),List(45548122, 13504218),List(70058762, 56929951),List(40469750, 27515959),List(45041985, 54075045),List(38800369, 10279479),List(50389118, 64986174),List(44541479, 95461864),List(33600264, 24389577),List(77981353, 381423),List(53601152, 72122227),List(95557257, 71799328),List(74516494, 95919302),List(44798086, 5640636),List(12739310, 10061955),List(38740433, 47605552),List(3773221, 90703168),List(86053178, 10798055),List(16109028, 25630205),List(8865156, 35149681),List(54591023, 84421983),List(88355778, 43004479),List(80398509, 86852446),List(88537252, 4146868),List(5754852, 28901725),List(4550238, 75225141),List(54140592, 6739144),List(28426650, 68720038),List(58556348, 66397681),List(17189528, 15322853),List(44533370, 16611331),List(62540363, 38442713),List(72239509, 36799766),List(66238875, 54113373),List(98894124, 32804121),List(34824284, 73506273),List(36871759, 60263472),List(7024086, 37595101),List(94159882, 48910829),List(21924397, 9864366),List(42081331, 82593250),List(35062975, 27962519),List(13515249, 77171459),List(37264492, 32354951),List(19898985, 88376791),List(13584902, 74131879),List(99096149, 45072317),List(93314348, 85782751),List(93386370, 38622272),List(89279076, 53259319),List(66563497, 60300820),List(10444054, 54679785),List(53013869, 44888845),List(31849229, 11777369),List(7497358, 54329161),List(95792498, 32174306),List(32881725, 2133931),List(41221380, 12357834),List(2654229, 75694084),List(64728799, 80812937),List(50693236, 15356575),List(96796213, 61887499),List(24379493, 14290652),List(96790579, 8295857),List(74080141, 83508562),List(84156734, 35048153),List(27858087, 66521587),List(28127446, 77621260),List(10322731, 82008834),List(49822948, 45519774),List(74112394, 31900790),List(21542717, 12347045),List(81668616, 83317644),List(22120187, 69356419),List(92901207, 63371634),List(17132308, 66033749),List(15748071, 36910249),List(27070835, 78100696),List(53427656, 51470179),List(91041861, 40460791),List(12985135, 53739897),List(12925848, 80464461),List(5246754, 72380041),List(980256, 20246484),List(10256189, 46223319),List(54006726, 44267469),List(56743285, 84782742),List(49595748, 40562951),List(83979190, 35388809),List(49790695, 74834875),List(99039711, 30645018),List(56341582, 52351666),List(18197662, 18707731),List(67806864, 48164315),List(67418995, 91659010),List(8251375, 74057350),List(32826021, 77816805),List(14083915, 99271197),List(16184535, 71344148),List(90883308, 30662041),List(66640361, 26377949),List(65148020, 44147324),List(42332813, 76708653),List(55250235, 79497947),List(45773465, 59084297),List(18934455, 52385943),List(33314042, 89718676),List(78190221, 65434660),List(96500264, 12466260),List(58726905, 78614819),List(48851442, 26086827),List(92833010, 93989226),List(2523155, 47011596),List(90519624, 12781047),List(55322737, 56027060),List(95308987, 38896075),List(54761359, 5327602),List(36045279, 10000404),List(94818039, 82832764),List(77060595, 81764315),List(91979505, 55885393),List(41465057, 53386310),List(36013324, 92400739),List(79078813, 90017293),List(19692591, 66135376),List(9107378, 60523294),List(55256542, 42950985),List(1961260, 80640821),List(45535445, 25638430),List(45919714, 13842618),List(68673476, 98560633),List(6112734, 73789328),List(98321461, 92529178),List(44645113, 33255374),List(66214348, 95925473),List(54560432, 8026548),List(87505436, 73031367),List(47435757, 26784358),List(18525533, 56784592),List(56607033, 10744566),List(78747531, 2479132),List(48226526, 18754539),List(37044295, 79244078),List(62786118, 86678782),List(21857273, 66918348),List(90912186, 91283710),List(36270488, 72708604),List(59184191, 79413866),List(11091733, 45079371),List(73788521, 76695426),List(92187975, 48235333),List(86669108, 51053088),List(60133067, 33684997),List(52039396, 35289957),List(65257886, 27588876),List(13980179, 29346718),List(95194534, 571043),List(67933298, 55400725),List(97550497, 40199108),List(1952093, 67511300),List(82178634, 74403687),List(92369863, 97949115),List(11369459, 87302392),List(55707207, 21264270),List(99578621, 92735431),List(10939017, 1194667),List(70847294, 12886915),List(2916622, 7407433),List(54701660, 16868205),List(35645404, 38398730),List(6649390, 96487445),List(69833418, 30905834),List(85613620, 58912074),List(60567280, 2598140),List(13897518, 80966263),List(44921272, 13502953),List(80680008, 48374241),List(94531843, 74310898),List(25720535, 77816514),List(65073847, 66645483),List(15157172, 33924211),List(28176388, 52194407),List(97039014, 33702877),List(43087154, 28439018),List(19484627, 82602252),List(89936823, 31962389),List(46345578, 81480489),List(42503952, 23549195),List(23881952, 98077428),List(23071982, 94329733),List(64036368, 38626246),List(72150382, 40128873),List(82714088, 60681733),List(41134011, 83843803),List(35879953, 24470291),List(73424623, 11223348),List(26643863, 18302805),List(28810348, 16087741),List(9693222, 92469544),List(99584133, 96692383),List(15319972, 58706573),List(44853454, 56623039),List(76625307, 56357539),List(75479996, 86147070),List(33685449, 66419839),List(62139977, 20718368),List(15069512, 12437184),List(45624336, 55636941),List(21825771, 85536256),List(61735457, 5320847),List(59801946, 13323380),List(55321709, 79589987),List(65505494, 89688445),List(96686242, 72983377),List(30562312, 62409728),List(77529852, 25862146),List(63401431, 40012069),List(96497116, 65102678),List(23229247, 45466190),List(32026412, 82420843),List(47272724, 42969413),List(37918302, 36736846),List(91629429, 42981368),List(81807360, 62012902),List(30930663, 16218426),List(88100670, 53098853),List(12079793, 2712433),List(37182801, 4929399),List(31293691, 27309839),List(88404430, 94135392),List(80282756, 86997984),List(96387935, 60728476),List(15345814, 99580270),List(95248254, 30798219),List(83984595, 19637484),List(42612315, 43090776),List(91746051, 5408442),List(55967359, 67957062),List(73524753, 54284427),List(21431914, 50122534),List(87953711, 16607614),List(37217008, 2081834),List(81047288, 24555187),List(58436214, 13211750),List(74562193, 64248339),List(38914917, 6511792),List(98389292, 62840793),List(46730507, 86955491),List(28994391, 64842294),List(89554220, 78365393),List(39204490, 2519294),List(66445439, 16489613),List(67893202, 60075316),List(95406903, 15928545),List(30910901, 80802866),List(75099525, 50687150),List(34278810, 65008933),List(99403859, 29710347),List(54959212, 66764918),List(57265366, 82328286),List(88535153, 13102891),List(36752969, 85243842),List(23251615, 88110744),List(97810065, 26661467),List(98850087, 37703748),List(86371843, 75901063),List(94950752, 84483808),List(75205056, 67064956),List(36745750, 15346705),List(52731457, 19047542),List(51906199, 95153117),List(72927376, 52882720),List(60540237, 13325604),List(546619, 78790460),List(23032038, 29604532),List(38180460, 15152863),List(39386820, 27111826),List(74794605, 49446692),List(53216431, 44318732),List(47016220, 50254009),List(85632214, 96084876),List(88516302, 92090012),List(97408276, 74415063),List(24813215, 97412080),List(54372256, 66910215),List(73479443, 55140865),List(16782136, 61576266),List(59692089, 94690415),List(62824116, 64400672),List(29793525, 56821807),List(20122384, 33882418),List(1133761, 92067012),List(22353332, 81303249),List(29988502, 62053212),List(95381821, 68718602),List(81441243, 11745171),List(77524869, 12810828),List(21975506, 83905135),List(15063415, 68955148),List(64777792, 24923532),List(98242387, 20008848),List(71463899, 44708813),List(72134070, 40806902),List(32042235, 39859738),List(16095231, 6703703),List(21655534, 56669205),List(70388833, 49203330),List(17500941, 58004452),List(40644549, 25421494),List(38080192, 52557624),List(43557917, 80419325),List(39177616, 65988368),List(80321787, 64206211),List(59636123, 63227211),List(79586000, 81939975),List(55993504, 60641421),List(84454205, 12324737),List(40647727, 24501109),List(24665512, 26293874),List(90665313, 94575417),List(7058635, 61188867),List(26339035, 47825556),List(10398887, 48962242),List(39410712, 25452962),List(46653960, 86064010),List(81555206, 97047089),List(93588882, 53625738),List(86934970, 72537463),List(73915155, 2799885),List(43062970, 82799869),List(99542448, 72893816),List(67245136, 2178066),List(91689157, 87015260),List(51323793, 71020497),List(94950077, 86614281),List(18989687, 83099528),List(11229066, 59881443),List(64796695, 49212350),List(99581025, 6431646),List(63996038, 86123665),List(63598280, 87309168),List(95627203, 88182270),List(11212053, 91795031),List(39482415, 69420715),List(15844773, 21030082),List(41338496, 97971729),List(96895189, 33944830),List(60093435, 67866262),List(93448589, 15598675),List(84449049, 65728822),List(89543254, 32737163),List(77511967, 6498089),List(91533154, 33254692),List(74833254, 50528443),List(98258318, 95284455),List(51422738, 15456966),List(40656075, 14737883),List(39437554, 32996),List(33298200, 15327875),List(76803163, 46637473),List(11603162, 78886313),List(13031702, 13861017),List(54670100, 40702923),List(35417414, 41344083),List(5798349, 32471099),List(1161672, 28754372),List(77873678, 57970469),List(96115018, 30452109),List(54218136, 90799434),List(98823330, 11458691),List(17215840, 27214170),List(87979953, 44681796),List(47318121, 14366318),List(23918595, 77593844),List(55779153, 42468475),List(29576844, 44959071),List(47536455, 20260504),List(84738836, 29189051),List(36965991, 3760491),List(69266066, 52746213),List(12694255, 18535272),List(80898971, 63753469),List(62394792, 3280707),List(80659084, 52947624),List(20944569, 66467965),List(5749487, 85230546),List(70241329, 52932697),List(48323036, 90654807),List(33247313, 2879131),List(6689965, 88763524),List(66210889, 63017304),List(21018885, 96314045),List(10384783, 87878010),List(90485535, 17320847),List(14920137, 64889465),List(81305063, 61591176),List(29032838, 75404359),List(60828530, 47091681),List(53913569, 40471231),List(36767976, 86011754),List(63162307, 40334202),List(98427283, 180779),List(26141527, 91990080),List(63803631, 69074228),List(4600540, 63649507),List(72386755, 59575939),List(21415083, 19916014),List(26692577, 27507795),List(78868831, 23575627),List(82742366, 71778728),List(89551289, 46532656),List(59017175, 73155587),List(67159593, 17215283),List(73768299, 28223695),List(56508603, 5038054),List(93312924, 88735146),List(99396176, 36585341),List(75159240, 50787602),List(85236767, 97056957),List(59045206, 96334946),List(38441777, 19700560),List(43725392, 15327624),List(45539182, 93138789),List(47837363, 22177075),List(21968015, 74281607),List(35688324, 30892138),List(7970868, 2203644),List(65928720, 88425694),List(61822378, 8942210),List(13761129, 63663008),List(54134025, 97556034),List(7811395, 58321116),List(47277548, 78207486),List(41631690, 69531751),List(79987404, 90300436),List(72120334, 63523925),List(29385015, 38924023),List(25710434, 8228871),List(65261224, 41830162),List(58308490, 187184),List(65771710, 11567471),List(34558438, 77182825),List(83412230, 54739728),List(20661037, 74280423),List(83946177, 41334664),List(79737995, 15306944),List(75716763, 21722217),List(43129954, 22095891),List(65500986, 45975731),List(32042764, 63843301),List(28421805, 48725824),List(76157811, 45435311),List(99077722, 28758373),List(47471783, 32072650),List(86096194, 8344384),List(96230616, 19185497),List(33175246, 12877193),List(18888017, 53197748),List(19687009, 3050150),List(68501061, 19011894),List(1808214, 57295983),List(84790995, 54130080),List(34231582, 65335802),List(28756319, 63480400),List(32798265, 39625424),List(80587275, 51773247),List(81307213, 90098500),List(64939780, 95721925),List(92062889, 65795436),List(61123183, 1529767),List(56701995, 81238024),List(82987753, 44041733),List(4403302, 18087756),List(17019388, 80304201),List(32542606, 64067031),List(69361585, 65887358),List(29855474, 35896323),List(8891540, 74694988),List(64421664, 75197857),List(74480920, 28378130),List(84793512, 55203946),List(18750221, 45799727),List(35665037, 75373410),List(58500756, 64877581),List(64970029, 193585),List(89437975, 61341920),List(93616447, 47952964),List(88134426, 76006388),List(99766264, 18057238),List(93104290, 66492223),List(24320434, 57245499),List(60724483, 40210215),List(53243863, 48791694),List(83568894, 87021889),List(82621675, 55320358),List(5698592, 3471923),List(33966347, 17149351),List(90228161, 61012725),List(84991172, 92965896),List(87891183, 92185581),List(96984338, 39180395),List(16750301, 73849783),List(67040658, 31656450),List(67138474, 99795086),List(59369377, 62965259),List(95638302, 72386194),List(79324409, 35360986),List(8414942, 32406738),List(37563538, 6599560),List(89962957, 8736691),List(51141187, 49277782),List(6333667, 792973),List(91453727, 12605069),List(50835073, 13146882),List(99488887, 65717979),List(59259355, 98547427),List(7064558, 71384572),List(27032573, 44212120),List(74350407, 71601204),List(40753857, 23089193),List(57762522, 59258545),List(7542542, 30034653),List(53673146, 3299387),List(21148039, 762255),List(54089147, 89593566),List(47176964, 71789526),List(12463600, 68313023),List(59996173, 76435416),List(14513626, 31110118),List(35777060, 93944405),List(75705618, 77414501),List(92398178, 76003196),List(41691574, 64355199),List(63475336, 65915439),List(31546484, 67589871),List(96721247, 31257470),List(33412960, 75040449),List(81346450, 77349490),List(55060744, 10361660),List(65483888, 87889515),List(3123832, 52637718),List(24673097, 48932257),List(88985072, 82524076),List(17778144, 60885166),List(14895106, 8999452),List(87211151, 81136856),List(87579061, 34406184),List(50625854, 77013059),List(23104951, 18954963),List(50010966, 15547331),List(26818255, 9879862),List(87013208, 31238112),List(12083846, 35084170),List(11238296, 31223995),List(7142142, 45525095),List(41628155, 34056617),List(20503611, 15908058),List(81962417, 10005601),List(65784482, 41541829),List(39626304, 26671802),List(1462552, 11625022),List(55039876, 40576988),List(27612157, 92869915),List(82862452, 78754941),List(80207794, 77391291),List(63552961, 17527531),List(253896, 94921468),List(21133591, 29954237),List(85582444, 79490495),List(99271005, 25719952),List(36707561, 27446117),List(84273254, 32371802),List(89631140, 91955291),List(31401823, 9879485),List(87459859, 96217950),List(75420835, 13530011),List(79462702, 73507700),List(9777663, 63879294),List(4084586, 4087314),List(71006565, 23147629),List(67478693, 56729254),List(98263403, 84223321),List(52252860, 8703515),List(78927460, 24358791),List(52376760, 15462040),List(5336830, 99808599),List(26786982, 59084267),List(24232268, 78202372),List(75619629, 54089862),List(72275283, 28482605),List(88936839, 79276704),List(961526, 59790680),List(68151118, 42409453),List(38253903, 21458852),List(55989330, 15034076),List(52360086, 19127395),List(21865724, 5132902),List(2185878, 42033401),List(34965401, 73738030),List(64612180, 60311145),List(2107348, 55806977),List(6506510, 25887053),List(95666066, 66476593),List(57148275, 8894338),List(83522876, 2382043),List(65852251, 69405277),List(64529754, 32206947),List(98555080, 13640939),List(31805059, 24043492),List(36851083, 40670501),List(97723299, 76231032),List(27875573, 92629459),List(36607622, 87232203),List(20150950, 44124456),List(77566890, 23301380),List(69085538, 78162442),List(94201033, 1850665),List(56504581, 80798274),List(61339294, 81197153),List(25616444, 70174287),List(22431769, 91263395),List(24520738, 83456313),List(70326309, 33165732),List(65552412, 86065199),List(49027164, 21554755),List(33521690, 38404056),List(39827922, 2868230),List(32223933, 58392760),List(87180298, 88415217),List(58524716, 86961400),List(58396306, 38136174),List(60849325, 92221356),List(54810072, 721725),List(36269520, 28937281),List(31997533, 72168345),List(8762181, 20859809),List(70416924, 28826176),List(19851465, 88614219),List(72360419, 16424671),List(19281247, 15651375),List(90495172, 16410355),List(25238352, 36273330),List(11923831, 72971550),List(8320960, 15697133),List(308032, 66615450),List(26460195, 95185016),List(1182742, 19117403),List(32137919, 56016419),List(52132008, 99796589),List(18126470, 49207686),List(96904461, 58907679),List(80780394, 13450242),List(4713277, 91377234),List(555364, 15800903),List(24725334, 70122560),List(50321813, 35444291),List(13968513, 4552743),List(10455109, 13546418),List(21978732, 91118306),List(84583714, 22699536),List(45178113, 21430586),List(25181684, 99152856),List(79876333, 37619711),List(88590150, 3091942),List(61951417, 39569374),List(84917532, 25371701),List(29970398, 93817052),List(89702643, 32594546),List(76121970, 82154283),List(28589444, 24547295),List(23171119, 67014029),List(65989060, 5595267),List(77792664, 77547097),List(27274228, 35583750),List(93279525, 98558326),List(46295987, 23409201),List(52880793, 81782749),List(66958218, 34179806),List(76234561, 81101314),List(13020334, 30931780),List(59683729, 72568043),List(84779911, 91707715),List(41640498, 83396875),List(38448430, 70215685),List(24976197, 90270499),List(40098928, 70993005),List(35637388, 84713581),List(10028943, 73952437),List(52277926, 59458340),List(94864947, 73347639),List(82804890, 13857526),List(3116648, 74712844),List(40161022, 42100196),List(63999482, 32086893),List(58154303, 30637126),List(70378688, 69338110),List(59378065, 16654108),List(26947299, 20934098),List(13920482, 14556484),List(36968122, 65996727),List(64564764, 9534819),List(51276428, 85924633),List(7416310, 90791747),List(35820472, 2386170),List(51382753, 79244790),List(38853638, 51173122),List(66116534, 40172003),List(1395765, 81490488),List(65181985, 69866687),List(21548365, 49048898),List(48758523, 71176640),List(93449519, 74890856),List(2785207, 201611),List(42100515, 2259098),List(93215116, 60868408),List(85080697, 72126881),List(97847185, 58018270),List(76830318, 92998550),List(79813440, 16348276),List(80456334, 78300229),List(5091785, 98738745),List(53282138, 64028810),List(30099104, 60024702),List(36208137, 98242054),List(7793413, 95866850),List(11847426, 92004501),List(22546769, 50921750),List(39987234, 78003500),List(36028839, 92354397),List(4071376, 15612141),List(5154384, 15012799),List(3661361, 83594683),List(12337797, 42375875),List(58971317, 47203427),List(97496528, 7725219),List(63591292, 49615857),List(8398666, 67973850),List(70619297, 99387259),List(64053854, 48753769),List(24236672, 93918109),List(3223458, 39047225),List(76369058, 91609383),List(16589459, 52910007),List(98459276, 69551880),List(37991223, 29358808),List(50649959, 34598817),List(77755096, 50136746),List(15239632, 85571071),List(8377397, 75283715),List(44222892, 57951408),List(93491788, 68430670),List(36799561, 30034757),List(6721945, 22518079),List(47903028, 44130683),List(78283577, 63340081),List(99193195, 26376798),List(34040176, 29421633),List(23721324, 60883995),List(99541928, 80779452),List(85199587, 21815680),List(35502380, 76606595),List(61597008, 14271874),List(50766686, 23244627),List(2556760, 29104431),List(39669105, 93540084),List(43420854, 87509064),List(23955009, 58802648),List(9747435, 6523138),List(29107014, 59812108),List(84137577, 88323331),List(25844388, 31940618),List(41492540, 33729057),List(72637721, 2940660),List(14254198, 79649154),List(14015808, 77747863),List(97479503, 51244116),List(18504727, 64380349),List(87289209, 28853247),List(22855111, 62179949),List(29568150, 86808115),List(1992055, 25633080),List(34464594, 55837064),List(37373739, 10532291),List(54644882, 83334702),List(19011057, 87030585),List(18824087, 7157583),List(91617988, 63957560),List(39302014, 77366186),List(75721122, 59906757),List(14764670, 64617032),List(25977384, 37387971),List(32039334, 33458556),List(65870511, 11457438),List(33380035, 58955264),List(62515262, 10144057),List(83659232, 65886746),List(67144820, 50261403),List(72275968, 52188190),List(5920137, 90650275),List(61376412, 69227692),List(9636567, 76049173),List(31773822, 62451875),List(23405682, 27910628),List(47656740, 6308647),List(69613047, 49186732),List(80165183, 70317829),List(84173089, 50327370),List(57557993, 90830635),List(7546098, 21015241),List(84397322, 30426417),List(50564285, 5686789),List(70934860, 85641521),List(86273323, 52851829),List(77142318, 43680717),List(78779821, 29449515),List(71088406, 70465990),List(82851969, 39500332),List(50457311, 91796885),List(17280437, 39909644),List(76544926, 96390478),List(19288208, 42262156),List(936798, 41704550),List(84505745, 56125350),List(49950123, 33655946),List(98451381, 1694661),List(55156692, 3336854),List(7492874, 46242992),List(76939721, 92000001),List(23993569, 41022911),List(40810216, 27327885),List(38527754, 29484045),List(1393835, 40845875),List(3665409, 64150628),List(7057500, 65453412),List(49677154, 33220195),List(32507045, 66106261),List(33893901, 4101709),List(86375975, 72949099),List(31320150, 5386287),List(41837935, 64246831),List(95605499, 86945882),List(13447623, 80261225),List(52255455, 75415804),List(27893129, 64667447),List(87780009, 38294995),List(72341159, 12214680),List(97794137, 33227395),List(66052634, 66582527),List(79346195, 45394652),List(70998642, 42525255),List(12413991, 70187023),List(36350796, 85835382),List(34160152, 1597742),List(55287585, 39887680),List(99304664, 1472023),List(22145724, 14008078),List(80881676, 91226805),List(43221738, 93693045),List(64729224, 1816742),List(94349217, 24590256),List(65284487, 96718547),List(20661911, 31429658),List(57777140, 27358347),List(12815332, 65642900),List(10984710, 41547833),List(25656099, 24742930),List(32232248, 39488280),List(83256397, 12936619),List(43712703, 11140819),List(89396679, 83879201),List(66349734, 60760253),List(47475330, 78357778),List(82897548, 61537642),List(62377328, 46497968),List(90276833, 73670430),List(32743452, 88408042),List(17236664, 6099070),List(99260512, 54403491),List(46967333, 86083068),List(39834467, 55606893),List(5387694, 14425679),List(78067297, 89419732),List(74738415, 29076800),List(77241077, 37644549),List(19908351, 46418111),List(18112636, 70727978),List(71240847, 88825588),List(41554491, 93456673),List(43016498, 51485255),List(42131495, 10155773),List(70397003, 5946108),List(98354834, 48976894),List(14933246, 81848844),List(76438944, 3857235),List(37299096, 60438148),List(48140445, 89102081),List(91110354, 39720414),List(36349217, 12121154),List(83040033, 463503),List(1924264, 60364628),List(11776240, 59820519),List(14024961, 22496681),List(33132360, 57949363),List(587149, 86125530),List(28956589, 28546184),List(38576678, 65519000),List(22680391, 22154092),List(34679727, 71646571),List(5280556, 5896696),List(66359913, 68345888),List(26924090, 64098022),List(71923429, 56192321),List(78591539, 34677564),List(77561529, 17105628),List(47349359, 4566307),List(63440137, 33642941),List(36362348, 86072713),List(53370355, 90477695),List(94472848, 80750857),List(75409073, 59574472),List(81230405, 5229340),List(11945026, 64397401),List(9607401, 78262547),List(89102344, 49257806),List(43367504, 38451990),List(16252288, 7932370),List(45570582, 59368332),List(14099559, 74067485),List(52492324, 20575878),List(22008447, 28149731),List(54133699, 7927449),List(96496954, 39720450),List(37259355, 26298394),List(99108415, 7928289),List(59111833, 34033799),List(21337091, 10609403),List(9052180, 52047275),List(79278310, 82280719),List(15644279, 88916588),List(25934676, 1935241),List(29928854, 17204525),List(75199970, 50049676),List(34510261, 96501299),List(32234868, 37520257),List(68423540, 6505421),List(2712490, 4878154),List(1125371, 39486049),List(63158212, 57070964),List(1983180, 79340341),List(65014273, 42761537),List(2144248, 633697),List(95893129, 90266899),List(84169346, 12071484),List(55071460, 19037681),List(6288537, 43806416),List(76244308, 37277548),List(61659272, 57313630),List(50440416, 42064767),List(40278489, 18094819),List(64924231, 9644653),List(76799750, 88774910),List(49711642, 38631661),List(17186234, 48226447),List(25068799, 67456061),List(26593011, 12272322),List(3404164, 88926955),List(53499517, 74898944),List(23584082, 12505557),List(83503059, 8624594),List(10315960, 40012701),List(16565882, 95391363),List(40982490, 25543365),List(81400119, 96041009),List(42797379, 66541651),List(60802668, 68424041),List(43458438, 95518649),List(20174019, 64085915),List(83260244, 94970011),List(85999351, 46496160),List(90056409, 44063467),List(9280267, 30915990),List(90227772, 3168725),List(97862779, 14568279),List(69992478, 39670988),List(51135586, 46215216),List(52287726, 51267774),List(82899011, 44846988),List(11917349, 81791631),List(82071205, 13033631),List(13776314, 96281041),List(18219403, 84952038),List(17913867, 44190432),List(25985804, 6180083),List(23864689, 7321259),List(93918803, 46608952),List(81427095, 63916387),List(16804912, 78161231),List(78160903, 89321583),List(69215638, 48671936),List(14271248, 85359285),List(83390443, 31296560),List(5949613, 63469546),List(1509518, 81350604),List(55993659, 4404474),List(59579391, 6403209),List(75776624, 80134643),List(58189933, 55728564),List(48619335, 3403048),List(72362590, 5955923),List(39525504, 9898200),List(81861983, 89903032),List(28912821, 98613251),List(86167865, 90508639),List(91565252, 75503960),List(81278990, 96612820),List(69769524, 5045354),List(37733079, 80097819),List(72102691, 19038248),List(27137398, 81355252),List(77409070, 10843432),List(74184413, 52120569),List(32435904, 6975821),List(72662833, 21281241),List(22546894, 81866726),List(65503929, 39383811),List(82641779, 63893959),List(56479544, 34961323),List(27021980, 9692735),List(50832343, 86730148),List(98318101, 22740968),List(65866237, 91661233),List(44551116, 78497819),List(54127760, 45231560),List(69149217, 49253109),List(46832418, 83993473),List(35537826, 91016706),List(84685889, 54802670),List(34338815, 3357084),List(10837511, 92824460),List(44959993, 77489380),List(59071826, 46878993),List(44201827, 34566722),List(95842532, 18816127),List(68891977, 91443310),List(95159701, 79309770),List(65701390, 96148747),List(57107736, 7443501),List(20737884, 67052108),List(59741992, 17867462),List(78766626, 74731171),List(77794902, 90218399),List(94425062, 30816125),List(5279916, 68403965),List(87086575, 80058072),List(1797843, 93412931),List(88040934, 65355719),List(32746074, 65243088),List(50355113, 931425),List(21848234, 64361065),List(81279467, 55289942),List(83891318, 20374383),List(69070772, 10461999),List(34967364, 53738082),List(31114822, 51796170),List(14812760, 29118747),List(26559300, 16194011),List(93616146, 3274605),List(74311031, 92215366),List(71432865, 59628672),List(31739714, 79420096),List(41175886, 5502562),List(93635126, 80779273),List(1208373, 56077810),List(56595597, 92951431),List(91920184, 46765511),List(21765060, 28721515),List(19119283, 71614868),List(38704483, 32981826),List(42997843, 61053308),List(30819967, 32202022),List(80822345, 9893635),List(79763625, 75855817),List(94400491, 76741664),List(64069679, 33602321),List(89575612, 13687955),List(27308011, 62877770),List(11828581, 9620970),List(50873481, 74923704),List(18206154, 1766695),List(48119859, 74284581),List(39131851, 16726629),List(20012307, 73408615),List(15475201, 17623266),List(51691317, 2147647),List(85759123, 75198029),List(72267080, 83362020),List(1417900, 78665490),List(36352801, 75168439),List(66977811, 28256966),List(40821077, 23360123),List(76367631, 41076054),List(26727375, 98798177),List(71402849, 42229902),List(88427197, 80020374),List(31881972, 37495861),List(14537324, 36296572),List(20158171, 46561884),List(3498466, 88718885),List(47680273, 54781993),List(90592032, 63584161),List(22945067, 64076573),List(34637349, 27620993),List(20395293, 10139532),List(26031063, 4027871),List(4094220, 27337662),List(64224116, 1134840),List(25273868, 22826853),List(17667762, 84432185),List(10615201, 50968723),List(13643397, 82321598),List(16959844, 86609409),List(18716149, 78263135),List(61468703, 1644224),List(9139363, 72179999),List(14522933, 5584093),List(20254511, 86542716),List(29626846, 92057678),List(86470451, 51398242),List(66617311, 14450046),List(25636542, 41181946),List(76368684, 44736564),List(71045161, 57796910),List(92658051, 59562999),List(38034772, 45276458),List(4312350, 91425051),List(95344075, 38458996),List(43870826, 85584328),List(96530184, 68757529),List(11417092, 68300633),List(61653098, 18532252),List(18361898, 3482472),List(34150700, 22427391),List(24546515, 10401396),List(28507828, 21650312),List(59805487, 88971747),List(29393899, 38832737),List(83167110, 95882590),List(2818504, 34474897),List(24727427, 29393436),List(73833595, 40275544),List(66061137, 67110771),List(5255241, 62212241),List(77412640, 52892386),List(62809419, 41621804),List(7129011, 62045799),List(2784008, 96140674),List(37928738, 63496850),List(54948132, 19246301),List(46799214, 81635245),List(7502950, 32282654),List(11654061, 72107836),List(61140278, 89512723),List(56615666, 2535463),List(19947845, 94024596),List(53740561, 84732823),List(67468136, 90738559),List(61596119, 73787844),List(98150529, 72884484),List(31465059, 25836649),List(27519361, 24296776),List(80142228, 41826917),List(32295886, 7213414),List(54573783, 38921493),List(97036063, 62813065),List(58319199, 78988085),List(10570475, 46773223),List(28468573, 24474364),List(44817468, 36474509),List(25136288, 10293161),List(24199836, 62995076),List(8837369, 50615040),List(93761762, 28483307),List(93565346, 87532866),List(5047692, 48389327),List(92972638, 72717757),List(97955064, 47316799),List(30705006, 79886757),List(42335236, 84184227),List(37449723, 84760534),List(88011220, 94080905),List(83414156, 64566177),List(72692321, 59496587),List(6236242, 82957813),List(37076618, 39308136),List(89238853, 23257792),List(87332988, 32756544),List(38476226, 87174248),List(69859081, 19935271),List(33007638, 59097756),List(13820871, 39098172),List(61328313, 71761657),List(60151662, 44975417),List(83284712, 27350792),List(31928235, 39185187),List(79986494, 1056756),List(26276550, 11413170),List(73478012, 93169283),List(54861734, 62803626),List(98513413, 61436298),List(50333456, 68907291),List(11815513, 79685904),List(1044238, 44470526),List(13261564, 19615674),List(41063894, 88171598),List(99750186, 49909219),List(99271337, 1601283),List(3808254, 54102163),List(92498227, 64702242),List(19248866, 7984636),List(14560052, 41814832),List(36250996, 83601628),List(84800160, 39630745),List(81484207, 21608202),List(11114474, 63343701),List(61537832, 89947607),List(94085644, 34436850),List(67800165, 46223476),List(74339488, 13416747),List(64422024, 53386574),List(11844709, 51003731),List(95422692, 98574934),List(3050253, 14697210),List(81412827, 21933725),List(99498916, 92016984),List(71276972, 32070358),List(23444994, 67947323),List(22240540, 75221702),List(81834626, 50238899),List(94064491, 25408866),List(69856386, 77542097),List(98040357, 41814410),List(53378486, 54890299),List(47742647, 82279468),List(71968306, 22171672),List(76258886, 62839305),List(33555128, 64430849),List(12085978, 13724549),List(81621853, 90118231),List(1584895, 96552635),List(95921902, 84596370),List(71464050, 87904052),List(88678912, 87186613),List(31398917, 18979363),List(8258124, 41648728),List(25918806, 88861640),List(74372518, 4504702),List(30809099, 12274653),List(37335775, 77501961),List(57726103, 51973771),List(4525148, 26684443),List(46251935, 2676061),List(77590052, 22977610),List(858692, 5232102),List(61568798, 47853022),List(29561901, 69983217),List(42932201, 47679788),List(60925633, 84505397),List(55879197, 60595724),List(41167052, 59588439),List(5208444, 51877220),List(25051756, 82897599),List(72713730, 95778057),List(72373069, 62610130),List(90776865, 64306285),List(2325093, 89547140),List(6112941, 46179259),List(35913586, 91352045),List(66084093, 43725893),List(92030332, 95514486),List(42104153, 28461896),List(73574873, 88842239),List(11730524, 37465504),List(67119330, 98344163),List(65936329, 99787372),List(62659530, 31766263),List(21817873, 41356778),List(59306403, 48446514),List(94420356, 6803129),List(58555656, 16583966),List(6655761, 55528593),List(98745220, 22287060),List(16072886, 93459406),List(32809678, 59123087),List(69904830, 98079374),List(43023053, 93308144),List(73630240, 51672904),List(61254453, 16760226),List(52419733, 16003445),List(12232147, 12037778),List(88394741, 66918748),List(87926059, 15978882),List(65500696, 6673285),List(63807934, 54173895),List(31907322, 18649257),List(46299989, 98344742),List(16213651, 4118645),List(56936783, 14891409),List(52578188, 91933771),List(56234100, 91196750),List(12936008, 55840301),List(93227590, 6352060),List(84505967, 62786109),List(9785624, 80616033),List(49709455, 69431770),List(95990727, 9909039),List(24217460, 45459359),List(7503703, 64735830),List(45635328, 76213946),List(54326029, 66458649),List(1526474, 41565315),List(36860659, 20047276),List(82026298, 57594440),List(32845662, 30966463),List(4523876, 52991195),List(64935915, 75158354),List(771925, 63342495),List(22672832, 93846202),List(6865136, 80054119),List(27697133, 88851176),List(75988352, 35023425),List(53088070, 74110373),List(49620532, 48500138),List(53508186, 93691856),List(15165454, 77215641),List(14683915, 59207680),List(3070495, 36235467),List(90765289, 85190939),List(54647891, 37467595),List(87979849, 42772099),List(11488206, 45589764),List(36196771, 60362278),List(13760938, 4967073),List(5685009, 82300849),List(38063643, 55902011),List(12644688, 82116512),List(66815701, 62703212),List(15887103, 79137764),List(96397117, 42239824),List(65849404, 24913090),List(98677128, 68584079),List(65234272, 65584711),List(51958231, 92102906),List(52743552, 90527308),List(60469705, 65818408),List(57246835, 56844686),List(30113498, 67462141),List(57385360, 30488403),List(78101244, 23167845),List(61456575, 56659614),List(56649237, 3645971),List(48507233, 47661146),List(84437442, 16080187),List(61217067, 91057982),List(37495168, 31641132),List(4787139, 78504407),List(77132523, 14362364),List(64866752, 10470471),List(43009680, 88682472),List(21426059, 19800527),List(90340918, 3965927),List(70625875, 94854838),List(52976996, 17026598),List(60711934, 33758895),List(13539678, 24608335),List(37717259, 49071871),List(82336213, 34454143),List(95452067, 15544417),List(96223859, 81937943),List(11487095, 16886221),List(81714301, 32542420),List(69487894, 47783859),List(1574366, 47277772),List(19884021, 28894589),List(98436517, 70212667),List(68314240, 59370282),List(57007999, 46084848),List(75425200, 68178495),List(2948192, 55481333),List(8241230, 45707280),List(26638628, 68597658),List(24145489, 7272523),List(30130558, 20027605),List(12423783, 24048557),List(58221269, 44417242),List(98967459, 22254881),List(73123323, 81781618),List(77081824, 37196645),List(27604493, 94925556),List(89882399, 68626781),List(41668440, 14701836),List(24505666, 38715378),List(56314404, 37441135),List(17690827, 81121813),List(8891938, 84659484),List(7294894, 85982734),List(17515177, 23971611),List(3459951, 53334756),List(89614998, 40524104),List(52842955, 56237139),List(4565982, 482919),List(20508317, 71216401),List(15006687, 41323058),List(42064880, 74769916),List(74237961, 29352379),List(44659345, 2109758),List(71442108, 93022240),List(37385011, 96963154),List(3465404, 46697670),List(57002014, 77809909),List(18886362, 10671276),List(27811876, 3359570),List(19435451, 67406541),List(12732075, 89725333),List(95619745, 61009962),List(70675946, 63778378),List(55166002, 79772380),List(3026899, 14190066),List(20001883, 78616793),List(94337485, 40167081),List(3566003, 50950322),List(73562089, 22594870),List(78965344, 85984644),List(94143655, 37816629),List(27779605, 26278763),List(57414748, 35177360),List(17375619, 75204661),List(67107218, 90602102),List(89546087, 42395476),List(3250806, 86797378),List(92432832, 49240113),List(86015197, 20717079),List(68468904, 73161014),List(29784324, 87599795),List(47210109, 74182651),List(67672255, 15522198),List(53010072, 64154401),List(69546932, 40085123),List(10610830, 77770004),List(78728469, 28601634),List(46743784, 13797792),List(15560501, 6272380),List(35757693, 32005830),List(51179519, 55058947),List(11658850, 10938042),List(7397733, 90390869),List(83369475, 84125475),List(55521108, 32933529),List(28555244, 88483728),List(7536574, 16270171),List(44909652, 53607758),List(61069163, 79217850),List(88656910, 57175942),List(4992563, 23589032),List(53256288, 50227592),List(44348349, 63981185),List(86963585, 57138206),List(46705532, 57139059),List(418556, 44785258),List(13786176, 22392412),List(64067123, 26944749),List(24495927, 18965761),List(88313612, 86221516),List(55290549, 8235910),List(78653295, 73353821),List(18044499, 22809742),List(73545000, 92651559),List(78358253, 76776552),List(90495859, 7048239),List(85424088, 70966532),List(20234234, 52238100),List(97844023, 25763292),List(75485420, 65659464),List(1784612, 26030256),List(90263661, 54804651),List(78733367, 71388598),List(19982160, 56893649),List(50915804, 56675758),List(6676755, 85194494),List(74509717, 33140729),List(59726294, 91214477),List(30860241, 82008348),List(95319777, 26359120),List(89942418, 33721110),List(27205522, 36559008),List(49578650, 78051024),List(64152730, 43527853),List(17428486, 59108162),List(5014923, 38902535),List(58459165, 49551400),List(98891884, 12892679),List(16206296, 64243301),List(13356958, 60229388),List(54931383, 1199779),List(45035211, 93914073),List(22076641, 89904319),List(64128985, 66291003),List(16236586, 43773953),List(27478602, 46082698),List(81552705, 99472610),List(49928592, 81555668),List(48984822, 77725441),List(79138886, 922505),List(88314868, 12372362),List(46524576, 68797240),List(36017955, 98930067),List(24348775, 45138070),List(95898294, 69586000),List(68855051, 16003893),List(97493586, 46111276),List(8597467, 56175129),List(64131719, 93523296),List(23909300, 83150331),List(46671307, 70462362),List(66186803, 92831693),List(71622792, 51441697),List(51307763, 28994158),List(92607783, 24046561),List(98754012, 35534606),List(26741944, 21444113),List(33279553, 72841032),List(47401494, 39839026),List(64312340, 31012430),List(82307991, 11370846),List(38222405, 14666227),List(94966026, 26014313),List(92014625, 40917834),List(37300190, 44466024),List(80595509, 1197076),List(13553782, 81390881),List(21916115, 71420185),List(41107625, 37194042),List(85410021, 91601147),List(39183981, 27786984),List(99916243, 75917408),List(71149209, 35574453),List(74700205, 16719444),List(87410908, 43707995),List(92731113, 48431396),List(43110047, 64667614),List(77585283, 3548224),List(60613461, 3394991),List(63333868, 19279399),List(20545402, 6941397),List(93073967, 42932624),List(40059423, 84032950),List(73798924, 76394380),List(71348090, 21753095),List(77933420, 41907584),List(48762152, 86505344),List(60368059, 26263746),List(14809125, 17462929),List(82781303, 81282776),List(98843258, 93062983),List(43739977, 89899061),List(86330486, 84280780),List(38586277, 57196165),List(58390376, 29106382),List(5266665, 52018991),List(63756671, 53485319),List(31549561, 35866948),List(59990283, 41714308),List(53329849, 29419295),List(8680295, 83586201),List(23075333, 94554497),List(71556696, 65453172),List(94540276, 54300031),List(72058178, 4326031),List(25306937, 68467193),List(82154603, 85582821),List(36690751, 29556275),List(31914339, 28559350),List(59982383, 1142917),List(20852477, 46436532),List(15067008, 80744890),List(61497184, 5582681),List(92098926, 41403447),List(1396536, 63463380),List(91390934, 85124361),List(76618528, 8474559),List(26777682, 27620930),List(96893878, 50285143),List(63351990, 8847284),List(61111022, 56196871),List(59101700, 72031926),List(24304708, 87530130),List(57761870, 73578780),List(64816926, 33195322),List(23518207, 9561140),List(55951654, 29488636),List(83343641, 78660511),List(95316798, 51320824),List(68760271, 60270977),List(54104511, 23417751),List(97420196, 11912456),List(60369491, 92655986),List(32258862, 97648670),List(91702402, 3128754),List(48258711, 40988373),List(7111202, 97556614),List(49703669, 32806238),List(49277962, 70461310),List(80062772, 34906937),List(61042040, 84675594),List(85100710, 44604513),List(93230199, 9682477),List(45006677, 69105584),List(70998076, 15100562),List(33989874, 73821642),List(70928390, 70123069),List(27298480, 92310324),List(19655113, 98657823),List(91488612, 97024655),List(86642074, 25124322),List(33646288, 99335530),List(13037149, 84520065),List(38251412, 13015228),List(2130269, 85711445),List(93462360, 430326),List(19206184, 53618578),List(78814410, 8771558),List(28320707, 63766939),List(46756910, 99703100),List(6287799, 92123543),List(44015875, 47074236),List(97787220, 86858894),List(51234355, 92549528),List(2815316, 93122736),List(63869199, 20887421),List(99283686, 65989182),List(69113578, 99014079),List(30305520, 34274789),List(80291485, 8216143),List(18370672, 48121940),List(30128081, 94013322),List(5799566, 28150413),List(89063957, 10618210),List(53154926, 16725867),List(73083375, 10527299),List(14415510, 92036147),List(45758877, 97816553),List(37935738, 44405399),List(25410315, 47357801),List(57267618, 37604380),List(4050557, 49316696),List(22826936, 25107792),List(41168988, 47545694),List(98422949, 61800774),List(36238642, 44696290),List(21561349, 4041410),List(72749791, 35594647),List(75677561, 66127074),List(37687179, 42282139),List(93648351, 4810515),List(70316754, 72981687),List(63781442, 79653528),List(69685910, 48866691),List(72356060, 50255465),List(28554353, 54908826),List(95666803, 82523008),List(92317267, 43762226),List(13993516, 49130753),List(45771320, 71953562),List(38973222, 3958678),List(90882245, 34287859),List(8883669, 55115468),List(68208723, 2239729),List(18042804, 72329511),List(51366783, 3387843),List(89680280, 11633687),List(51723065, 4456331),List(15459328, 70398761),List(91712183, 28192),List(40673102, 35901320),List(96463654, 27383259),List(25215846, 57982724),List(37157109, 56700350),List(52556631, 84501825),List(66476536, 48634674),List(45712651, 37067332),List(22311665, 36563816),List(40090481, 24448233),List(94917807, 47243499),List(22625475, 69622994),List(28552234, 63623883),List(26815923, 97587771),List(84647606, 13242465),List(43845450, 15636825),List(12131424, 50402661),List(73109884, 55114053),List(51223146, 47344616),List(29431177, 34711393),List(75985558, 40415536),List(32508602, 24397515),List(25648560, 95850100),List(65128832, 47648155),List(18393576, 98732180),List(13679810, 74239626),List(85483678, 72404982),List(16422054, 83304884),List(88868494, 48310710),List(54410644, 91243938),List(52341860, 4915464),List(61794873, 88874049),List(31805071, 99745813),List(27437442, 74909464),List(99711090, 85118856),List(71864266, 86172323),List(60907033, 64029949),List(55592691, 73303136),List(55516052, 20863966),List(43717610, 15097063),List(69823302, 71398613),List(77153980, 33864755),List(78996758, 25692268),List(83178331, 2534475),List(97339240, 64802888),List(47708659, 68375946),List(68849591, 25831015),List(89047593, 98401516),List(19276645, 80270588),List(46560887, 27343622),List(29035148, 92353961),List(87023066, 74080228),List(44974368, 88736401),List(89063769, 88820939),List(76782369, 92161254),List(61485208, 14253643),List(3059913, 84940525),List(58233961, 29929841),List(54113056, 70988321),List(53078830, 57153690),List(8991001, 73119035),List(25481107, 20831050),List(83448037, 72194730),List(44306760, 55853490),List(78091985, 27700722),List(7860502, 81450038),List(29913255, 82324229),List(41149732, 74699052),List(58371508, 97069042),List(69286646, 68759049),List(56087190, 25659452),List(11126697, 2735609),List(28505593, 88309609),List(59397976, 30401507),List(67982688, 18226342),List(48986371, 49222665),List(22027846, 2680107),List(30525318, 35201803),List(46314688, 29350579),List(48082280, 68614459),List(86819704, 22338529),List(77504852, 22548823),List(10530415, 61304783),List(24981079, 80262006),List(2191132, 45135330),List(13239536, 11680383),List(21144503, 88959418),List(33329239, 14193231),List(79166681, 295302),List(96444145, 48073287),List(48257164, 51665241),List(43018326, 84027404),List(34230453, 87546621),List(89660832, 46754697),List(26004856, 26278821),List(68319235, 93061933),List(29034919, 22846768),List(4094628, 78154646),List(38345316, 32083397),List(49006372, 94989975),List(81410348, 61141364),List(84224062, 86840285),List(88566521, 29213827),List(22970394, 72458441),List(17325706, 88983302),List(79576175, 13921704),List(61659019, 57606999),List(40225242, 43945505),List(74813058, 82893471),List(5389679, 72460951),List(32739326, 27283290),List(29119817, 1925279),List(73739882, 25471838),List(50796917, 99038765),List(84495605, 65669940),List(46326779, 74215716),List(58707515, 17690062),List(99429135, 47802944),List(66930931, 6642872),List(3867328, 65957477),List(58203464, 5831873),List(34551268, 92065812),List(69347114, 9510785),List(65145502, 5440537),List(88445293, 35687301),List(78351905, 84823126),List(39597264, 78175340),List(12018399, 76276203),List(43613668, 45817767),List(89727670, 62980751),List(9758988, 78798422),List(35297741, 86966422),List(41366132, 3260251),List(31370721, 2320522),List(33224838, 77822050),List(13916287, 72108667),List(8415776, 94050664),List(35302724, 19474019),List(69129414, 52919346),List(88311115, 48554657),List(99789840, 67817331),List(95131253, 84672244),List(6938541, 44316671),List(81523081, 73578160),List(43878286, 35476237),List(46222109, 11982621),List(63365312, 51511883),List(47957510, 22794799),List(6697035, 47320208),List(93724626, 81335606),List(1884433, 20311864),List(95101436, 68805095),List(69077403, 1639004),List(27708665, 60958382),List(15750821, 5102948),List(26050759, 55436741),List(41609280, 17424117),List(32074323, 20289653),List(76015173, 71319473),List(86579443, 44856498),List(90927774, 4580193),List(85617737, 85802796),List(48529958, 6138113),List(24162601, 31950602),List(11255285, 87180831),List(80808316, 86878205),List(3544314, 91170231),List(35261930, 74506628),List(57233534, 92579630),List(53229263, 37385978),List(66123760, 13956294),List(87555136, 58977348),List(99185490, 88231194),List(47126815, 26849057),List(40520979, 21519270),List(48751927, 49744741),List(5296248, 62428302),List(46460492, 64670533),List(9505450, 95646927),List(74748606, 39434583),List(23832537, 28008301),List(39439786, 34158751),List(78705837, 90679592),List(76073321, 47068058),List(87159615, 12507487),List(45104777, 44264796),List(96161881, 11383554),List(7716095, 43790655),List(73973512, 16668844),List(92318255, 92270204),List(12277879, 81510530),List(41269267, 60371172),List(21022217, 19608503),List(23289316, 11640408),List(43225532, 85175840),List(68077604, 90251041),List(21758470, 3538931),List(59196305, 71546451),List(26991479, 94199475),List(54606217, 49010854),List(14162925, 9056657),List(93545460, 52428017),List(97701173, 56773385),List(62310977, 36977574),List(85267002, 92800225),List(14066123, 32991594),List(15814194, 85897728),List(91851339, 67944831),List(68553990, 55074383),List(71861896, 82133197),List(28135583, 11822029),List(33662220, 96540596),List(90862358, 62376465),List(19170816, 30679099),List(60850430, 69164087),List(18769436, 69997037),List(12566012, 29341973),List(94765975, 39320041),List(24684752, 26950933),List(82412639, 89519069),List(15106933, 41407922),List(10943800, 89507027),List(47679688, 88515649),List(46346255, 80985069),List(68245161, 1956019),List(41377953, 70972883),List(83206212, 94552223),List(95105192, 46347021),List(62294305, 71566521),List(99471005, 80773277),List(37652926, 64894393),List(87778195, 50269802),List(55997708, 54924865),List(18967214, 41649724),List(26902904, 88056592),List(65245454, 93282171),List(10553727, 86085440),List(51745575, 95119900),List(58447586, 90727327),List(43660802, 13442100),List(50970785, 43641709),List(31834424, 60776827),List(60473281, 2592411),List(61997705, 74816580),List(12505336, 50187483),List(94943535, 39366306),List(9200115, 57714747),List(18094601, 7035016),List(53351230, 88052978),List(83406955, 86104094),List(45090952, 69120760),List(15151482, 25567190),List(21859926, 38394809),List(14009488, 47490669),List(76943323, 36639669),List(65865967, 69359929),List(97248120, 39834501),List(99626149, 74672022),List(93094557, 45136741),List(79619004, 50017084),List(51320446, 73891540),List(66710966, 24783397),List(45639868, 66623744),List(62322135, 17739552),List(94880966, 77372517),List(1323660, 54147767),List(7309551, 96745887),List(9406737, 86773113),List(97758240, 64097980),List(30346540, 49344167),List(10552143, 44941436),List(76094603, 71793283),List(73615086, 95480680),List(6040053, 57734144),List(92205089, 30251835),List(96449542, 42597215),List(43693257, 4378742),List(68811919, 16915566),List(84664605, 99538349),List(71947680, 83793313),List(31507531, 22696385),List(77489875, 38644088),List(10829778, 71519309),List(95589939, 12624207),List(33453565, 77389632),List(60433280, 10602164),List(4488935, 78734611),List(66533125, 32028581),List(54833084, 17113399),List(37170793, 5284047),List(38497191, 45467187),List(12645847, 90307838),List(44079921, 22512052),List(37680097, 9561102),List(9493043, 28248062),List(95707513, 80148622),List(2685687, 53436782),List(96336797, 37409659),List(29391091, 20367252),List(51837817, 26972141),List(33156177, 42974785),List(62467216, 50533987),List(18952421, 64583929),List(43249638, 66361862),List(35377522, 62188851),List(6476917, 62772789),List(255556, 33959095),List(98472180, 58458002),List(20175104, 22888297),List(13856484, 60271785),List(59539408, 13804987),List(19431645, 38733677),List(97285144, 97148875),List(20622976, 16512590),List(80169478, 15564341),List(25132796, 69553660),List(85140749, 68859777),List(95448110, 25574656),List(21709822, 92682468),List(12300858, 23795844),List(29178993, 1992350),List(78753093, 37228314),List(62832481, 63471349),List(21421784, 12083475),List(66200042, 77207696),List(3871602, 47590870),List(13513809, 11028783),List(26712151, 73437076),List(26996254, 16329143),List(86604004, 56559926),List(29520046, 65166239),List(35077473, 36942345),List(94498849, 22660395),List(30089420, 26515156),List(45533179, 45157921),List(23066953, 68498347),List(90583395, 71725484),List(51850742, 55180844),List(44309019, 56614776),List(7447455, 99750520),List(75668109, 67889867),List(32606253, 55650499),List(69967822, 22831000),List(10903808, 71405889),List(14364706, 35265687),List(18781687, 73630013),List(85468313, 2903951),List(66040566, 59828624),List(83339666, 84894434),List(87935957, 26616391),List(28106112, 16243720),List(89446814, 29825703),List(16738017, 46439819),List(60200086, 5714094),List(44222555, 64035506),List(49543632, 21958340),List(25891111, 83556153),List(3963639, 93232016),List(87311797, 62974614),List(73591122, 69881639),List(23552571, 95093417),List(33992386, 78962648),List(26931588, 69798264),List(61384206, 77655000),List(26386029, 50953005),List(93381257, 32125474),List(98347324, 74521469),List(59717210, 11209149),List(46823809, 18984029),List(35007589, 18947347),List(20677848, 18356395),List(40839890, 6989505),List(40775714, 32488059),List(34808239, 37649464),List(38148803, 20105114),List(1775263, 97082101),List(42489154, 11203980),List(32964266, 80707302),List(26257715, 46881411),List(3455075, 70135807),List(67622729, 58442899),List(75342848, 97258837),List(29641372, 94666632),List(59270394, 93980615),List(98056788, 27599694),List(55370273, 31354779),List(86440227, 5107057),List(7363275, 93652565),List(8050114, 56398633),List(86828878, 31136780),List(66581573, 56614617),List(10901386, 25910949),List(59025215, 26518471),List(43966276, 37610317),List(84813027, 61940730),List(5735758, 23911046),List(97661195, 74996301),List(96423998, 17416863),List(89590401, 69255751),List(25211616, 41212342),List(13482741, 41374330),List(86222473, 10407651),List(4621447, 40586492),List(54129675, 57236271),List(71489176, 61271640),List(23940836, 77961836),List(72570786, 21159553),List(14083218, 58040943),List(64237532, 41605079),List(70530165, 10012115),List(35126237, 25166903),List(53581002, 91955397),List(66428711, 67607913),List(45741665, 63573515),List(24090224, 97177772),List(32996601, 4239317),List(53845559, 21995687),List(99518495, 54866178),List(49576113, 71203626),List(33335575, 45754856),List(80635818, 54298928),List(18509207, 98962020),List(52891496, 48925137),List(74411631, 8779653),List(95377145, 22600294),List(76456860, 14189077),List(23443143, 57709871),List(33574790, 11550765),List(60585723, 14022325),List(62805667, 82824391),List(15707747, 97115794),List(92829001, 44606034),List(58963651, 97626950),List(88739104, 93348843),List(77719178, 96534639),List(48122957, 22431064),List(38087718, 62021291),List(49545316, 48688111),List(25647998, 47067392),List(49771948, 3549978),List(35338327, 73217693),List(82496214, 39201863),List(58607642, 79443093),List(89143136, 27709717),List(32626736, 29811088),List(85020793, 55974045),List(5500341, 68998102),List(52351338, 37726463),List(17831522, 87635678),List(83797594, 10540430),List(72629665, 86455250),List(73152091, 76859644),List(50511848, 26598334),List(94815117, 95620452),List(62262799, 16998209),List(31947291, 15520513),List(54904324, 65612703),List(65981118, 52805484),List(73413807, 67641240),List(95736504, 51405206),List(19013699, 68435249),List(65002654, 72583855),List(64187101, 46204520),List(55904449, 31519182),List(51217400, 44745950),List(90699678, 25672186),List(62046618, 42822818),List(51533267, 97027322),List(25281768, 95036697),List(61163400, 44310395),List(71357230, 64153921),List(13255292, 62904743),List(6053060, 67319817),List(27839408, 60243278),List(84518685, 63362088),List(56649013, 99011871),List(11201361, 16910011),List(43568413, 1870007),List(14500172, 81004632),List(81334935, 87022026),List(24776052, 48281537),List(56826634, 21807750),List(98193687, 25119498),List(20300090, 42661875),List(8521977, 55404840),List(96882088, 35100531),List(59333500, 17997325),List(33437385, 56565191),List(1703828, 36387759),List(94069750, 60360337),List(95317825, 42557913),List(63982433, 49768892),List(18413534, 24092761),List(89603307, 85469857),List(5174431, 31338321),List(69822626, 57464336),List(79583943, 44211192),List(82684422, 91131414),List(15427588, 44113939),List(41690305, 82646692),List(21617015, 88625662),List(53520947, 80404259),List(53265985, 62160823),List(79359623, 22432931),List(40492129, 92311322),List(6335539, 2622629),List(93722608, 3568224),List(93964663, 57953210),List(35019473, 94408560),List(38897604, 44407714),List(3994378, 88888652),List(93638088, 8529963),List(55606691, 87120662),List(56993836, 86767386),List(29480372, 81685331),List(50592543, 95453231),List(76479022, 10972734),List(60749047, 44171789),List(76107770, 52204479),List(11466488, 71980506),List(31011695, 86249468),List(63730054, 2477528),List(30762211, 49671030),List(43262131, 52442060),List(78489249, 14697024),List(2567173, 15666650),List(95604760, 27325250),List(69702294, 48360529),List(38202391, 88602885),List(55347704, 50092336),List(1508465, 98098748),List(16912478, 12598546),List(35073250, 13848654),List(19444016, 1525179),List(30940296, 21965076),List(98549060, 70497824),List(10468262, 67553112),List(28003032, 45620534),List(8240124, 27621667),List(58460298, 28408926),List(9625536, 43889212),List(41658063, 54925168),List(82146792, 94861783),List(86408280, 31724572),List(33849714, 12922848),List(83286401, 63803246),List(43985418, 1017314),List(21219311, 5862546),List(55075778, 30765998),List(90104174, 23971181),List(61510905, 76123102),List(44945149, 90544217),List(9236486, 39729886),List(97678431, 22963095),List(24896390, 62480528),List(48659882, 32506188),List(67140633, 88644753),List(52980484, 83678765),List(52086079, 297880),List(86478197, 44568124),List(31082212, 10137499),List(41529573, 90805540),List(8254653, 21162148),List(76268382, 10498937),List(15265978, 63979057),List(14318232, 15778980),List(27377555, 57295964),List(64909263, 75251025),List(98760328, 20313305),List(39669569, 42520802),List(67532218, 42483118),List(42573382, 11814362),List(36267597, 3939902),List(6916302, 75643306),List(77476591, 52120459),List(60615564, 76467712),List(21754219, 37468981),List(29778931, 41496368),List(69612599, 58090419),List(58052313, 94701496),List(48838678, 78524640),List(8748602, 98912548),List(86745773, 13878054),List(92182193, 9000850),List(30388311, 76630369),List(79622995, 15257367),List(35432680, 25352408),List(74776629, 46035499),List(80893142, 21377739),List(85426415, 89530391),List(39843815, 71170596),List(11570933, 29571231),List(81627584, 47673930),List(39099044, 64693228),List(26609170, 45492509),List(91178870, 57759994),List(91566363, 51784701),List(52775074, 77935325),List(34733848, 83916170),List(91481671, 75269245),List(39562352, 79747335),List(72756294, 94774906),List(57173090, 59161438),List(45141881, 86346295),List(78001755, 7725177),List(64217647, 42016784),List(74076051, 98895181),List(36371743, 71782094),List(99232271, 45497164),List(85856414, 97187689),List(68058302, 91059310),List(75480478, 55185195),List(13412429, 69490578),List(54819141, 23442148),List(41589994, 54822075),List(64352063, 92484254),List(36900272, 77856400),List(59567886, 66010588),List(99834546, 81448306),List(58338528, 31142369),List(17314132, 78457648),List(22671549, 87609807),List(67738586, 61128609),List(12222199, 37715767),List(76691808, 52015000),List(21792848, 62354254),List(93955693, 32140422),List(73869579, 41327502),List(79545995, 9857603),List(74953215, 19387655),List(69658657, 69802242),List(21711705, 34076963),List(37315210, 4086711),List(92317479, 72321618),List(69938226, 81365132),List(26652358, 24320327),List(21026967, 33093870),List(51228326, 86487281),List(37413954, 26468153),List(14432467, 1438071),List(20761157, 30699803),List(57657486, 61033505),List(73400417, 72858258),List(78046268, 5264083),List(3065218, 36208809),List(23921787, 66290319),List(49234962, 34720734),List(25142672, 82427797),List(42049417, 89514510),List(16425866, 48608817),List(81903425, 10088984),List(2315572, 56440986),List(91605064, 99729365),List(37271497, 2326719),List(41178602, 48761191),List(43796287, 7551060),List(93487855, 53917684),List(22191432, 82629312),List(56962389, 61022758),List(76898108, 31242078),List(85215474, 46682187),List(29152105, 72121729),List(782986, 46558974),List(32258893, 10650928),List(94664518, 65241214),List(31784014, 66843055),List(71453708, 80750298),List(78487581, 48604267),List(96579438, 76185328),List(59613747, 75709394),List(73434654, 14235022),List(57755819, 53117881),List(12501126, 38154129),List(45430814, 97158957),List(73700508, 38205431),List(13964285, 44342044),List(27713828, 71154471),List(54959572, 8184738),List(79540206, 81715549),List(89000801, 35568806),List(52235378, 51007500),List(30325055, 68393239),List(74469119, 21820678),List(81944050, 86319554),List(44130826, 220494),List(65976028, 46616792),List(81422020, 96332570),List(2738034, 8762445),List(18709056, 67529524),List(13939406, 1739992),List(85964374, 61566112),List(53759846, 58405619),List(59273435, 78147045),List(85155338, 56267690),List(60135272, 94941535),List(88948493, 16108373),List(31225581, 89272290),List(6194286, 94491618),List(55611903, 78863351),List(13610386, 63440741),List(97596004, 62854743),List(28657814, 36757284),List(14824651, 53485958),List(32682962, 74377920),List(10721376, 20333603),List(10861444, 43767817),List(64451852, 6849071),List(67932078, 65564818),List(76670362, 63562721),List(47007127, 96583306),List(63676605, 70775099),List(896554, 39004056),List(91533577, 65527046),List(16824007, 59906966),List(37736669, 42962934),List(11958032, 35449795),List(44895353, 66657190),List(4541681, 22322053),List(92621091, 35735061),List(34455539, 63689588),List(95933381, 232503),List(21151172, 99308192),List(32292379, 25513116),List(44206438, 40526039),List(70980178, 50605866),List(39973173, 31901179),List(45265061, 62835643),List(47533281, 35590474),List(23186320, 73390682),List(58638907, 28711287),List(73955703, 2121312),List(55959047, 40247895),List(69754571, 59762898),List(60396479, 78598255),List(57481589, 14928284),List(64167196, 7979924),List(71135356, 1560895),List(86416182, 99636069),List(92874439, 47565696),List(73371902, 26124426),List(13014601, 81301219),List(99852724, 72205641),List(1793655, 20528345),List(71694056, 3641952),List(47730378, 27742778),List(27102241, 94647311),List(95020267, 62047377),List(82754010, 48886162),List(39312965, 37855411),List(15838612, 52798286),List(46549574, 91471889),List(58763426, 20109581),List(21974177, 43511074),List(72728552, 14225849),List(91829135, 6358460),List(56104575, 32825716),List(20237597, 70009347),List(5982197, 76699133),List(85694249, 41068493),List(97001436, 5712004),List(16802425, 70149896),List(95579189, 17555510),List(98436094, 53733685),List(69427143, 83076310),List(59686842, 89243255),List(82973303, 12600088),List(60725352, 2767393),List(8242093, 22735695),List(58732840, 10141274),List(18650867, 33759709),List(21619099, 58307424),List(59193645, 81424171),List(78469819, 4624186),List(69290633, 79357079),List(42417714, 78064171),List(60136722, 93209113),List(56879140, 59071222),List(22629172, 22553355),List(99208000, 84638068),List(16186455, 47156964),List(90934427, 70787171),List(80242002, 9276198),List(42509238, 37486843),List(303661, 53473313),List(29229947, 24347186),List(66266135, 74850068),List(4628516, 4544940),List(67749793, 65919200),List(72262594, 16985015),List(49940152, 73388480),List(13775851, 26003725),List(61439814, 57591453),List(90009261, 45391761),List(66544879, 32912991),List(39300303, 42843951),List(43557092, 2859464),List(27422226, 35721860),List(52669485, 23156331),List(50008636, 44698234),List(57835827, 94334824),List(62798647, 13743335),List(74372295, 93769692),List(57672634, 85189174),List(72305972, 9902612),List(59885952, 48432134),List(53494042, 9344556),List(44494567, 59522976),List(95395871, 54322451),List(99134524, 46399974),List(67498072, 67301688),List(11372452, 86354545),List(75038705, 41403809),List(5779677, 56520989),List(78250660, 75251254),List(37268558, 1652259),List(69922358, 82152023),List(17454936, 35710001),List(92385428, 12666593),List(25609837, 87700228),List(37037667, 97030157),List(29349155, 80488475),List(86826177, 28709771),List(55740470, 82390230),List(77523360, 15406339),List(3057882, 40221102),List(9954846, 69119175),List(82250938, 10532506),List(82399057, 60309124),List(19264006, 12099888),List(60729985, 76606573),List(16024011, 98400147),List(85799789, 88704986),List(89623063, 93788824),List(22238510, 24110508),List(31600676, 1585429),List(38444523, 61282824),List(23213594, 31168306),List(93813813, 70600941),List(33325015, 30221000),List(98440421, 64033560),List(8956334, 37929513),List(22850871, 1870642),List(34634641, 77603901),List(79615907, 24794607),List(49432723, 76376035),List(73285330, 59903770),List(59361823, 12945443),List(77994867, 97127808),List(41746130, 17185252),List(54979884, 26640219),List(18228695, 53667801),List(64123897, 56458601),List(17832699, 31010766),List(13494784, 67407069),List(35542350, 77424212),List(50673908, 35747321),List(80451483, 69163347),List(32711807, 1937645),List(82825278, 36299164),List(53108247, 41745491),List(38074675, 43694078),List(68391746, 98792601),List(68409975, 62659979),List(26552147, 21489374),List(28713648, 70959343),List(47141828, 68332939),List(48459851, 83225731),List(94030825, 72964982),List(76665242, 30208661),List(18137106, 15243392),List(4007249, 88886481),List(17811174, 77587424),List(36010473, 23107141),List(61487873, 97380096),List(31571676, 1744849),List(43207048, 8311336),List(32385318, 26311567),List(23999571, 94284497),List(45342986, 19449803),List(55811301, 21057990),List(82341208, 79040283),List(18486499, 32344446),List(18016963, 42578885),List(21928123, 65996302),List(5218539, 38006584),List(77903458, 91658882),List(13498094, 68396664),List(92664731, 60019928),List(37712224, 21723326),List(50000736, 27079017),List(32872930, 57346134),List(46292907, 69709704),List(38758298, 99842988),List(23924133, 78820364),List(59665865, 19320967),List(48841350, 58763909),List(65880698, 237162),List(86843300, 48723148),List(98954712, 70756757),List(39665125, 57561703),List(25243920, 31974433),List(14836078, 79883736),List(82686384, 32800062),List(92597229, 1027021),List(9619096, 1812711),List(43662359, 77208192),List(37313867, 44679822),List(733158, 65325593),List(94651054, 60666304),List(80527633, 21610326),List(48173388, 81801118),List(10410465, 62807166),List(80889650, 73131643),List(46784073, 85996789),List(64167527, 54674390),List(25237939, 15669964),List(97558646, 50489972),List(45367265, 56899302),List(68555908, 24683834),List(73061589, 72128201),List(75405376, 11546723),List(51967163, 93834956),List(95301088, 15139530),List(84813261, 31860094),List(85430374, 60022985),List(29435415, 68797497),List(24954649, 40720506),List(10763664, 62641264),List(46962740, 48383170),List(43224085, 38671535),List(47350570, 57364230),List(12078456, 1829655),List(74892835, 35571606),List(25812977, 90971231),List(64186111, 99724268),List(83078777, 97906038),List(12643505, 55468636),List(3234277, 25350350),List(20426300, 67934780),List(63290706, 679281),List(64187680, 78188440),List(97338237, 48474679),List(4917443, 24807058),List(30050372, 51780739),List(77591636, 75363202),List(84052492, 9341955),List(24978812, 1100906),List(24873632, 55301736),List(31522876, 20400556),List(82323848, 21213662),List(79686390, 21391627),List(65902705, 18567478),List(98173994, 42872184),List(42250438, 33504353),List(25337137, 94044113),List(13907466, 60234231),List(44073378, 45793757),List(58581131, 94105201),List(8696662, 75105862),List(81824892, 32480931),List(42408855, 7773649),List(92041897, 74627709),List(86630042, 71965341),List(26152158, 26300760),List(45038754, 22404038),List(68435391, 34861728),List(32840427, 90560306),List(22154231, 35681181),List(93074741, 83842021),List(12571512, 187387),List(16117935, 26020623),List(65790091, 78654369),List(48200544, 80296739),List(88102332, 47808645),List(51567295, 9056874),List(66290822, 23180378),List(38141406, 67953605),List(22845706, 23861951),List(78745925, 17703560),List(91007982, 73572112),List(74774942, 88293311),List(45721649, 18181000),List(87147669, 6218143),List(2746077, 86047084),List(85400972, 87863306),List(82309270, 26943741),List(53557336, 75224395),List(85436906, 95142234),List(39599476, 49852796),List(51833486, 79679623),List(83076353, 22671633),List(80248989, 21062376),List(37645835, 18284003),List(1417797, 92522135),List(46130494, 2332041),List(66277921, 68053658),List(25806795, 64989673),List(15513706, 84993913),List(70212826, 63354233),List(83401838, 47184512),List(90754957, 73867635),List(16671633, 62042840),List(26313943, 59917480),List(87795200, 76554002),List(54765253, 15989493),List(39893390, 28634339),List(67858354, 1726442),List(38145679, 91491309),List(44019873, 3796738),List(34623062, 54597386),List(43945589, 58785198),List(71590622, 69276368),List(82720873, 73035557),List(32482250, 36795920),List(87776561, 66230510),List(46035086, 67057818),List(95695839, 17415972),List(97759124, 73012640),List(56772718, 15496299),List(36473254, 75455702),List(63821870, 55469074),List(75490335, 80151667),List(54272402, 97048871),List(12735654, 50395502),List(96703481, 68229388),List(94565577, 52832063),List(45141277, 80052309),List(99176959, 93576488),List(40832986, 5783605),List(53054595, 34964664),List(1366937, 80804220),List(58625970, 58754678),List(21254657, 22896286),List(45066491, 25029239),List(42457200, 81729107),List(22106610, 13251255),List(3215625, 21044376),List(90739282, 75249843),List(89210689, 85415216),List(31913880, 14666139),List(62484713, 73414344),List(19808050, 59304026),List(72768505, 90202970),List(11345796, 79342274),List(13585886, 50190843),List(80364654, 75659186),List(92482609, 36329140),List(67584026, 38843709),List(49026870, 81177836),List(12455317, 12217031),List(121859, 97660262),List(48730817, 57258464),List(36163021, 88164431),List(24022714, 89193104),List(78286387, 31050851),List(29799671, 63770565),List(18461336, 41650859),List(37976643, 82604843),List(57879988, 25066820),List(7254252, 70027642),List(98821305, 7392911),List(50438611, 14601233),List(28815499, 26717365),List(84171813, 217274),List(59536639, 1692297),List(35538147, 1736009),List(40377247, 97332352),List(38403882, 93755578),List(36307887, 64427945),List(50678314, 35396137),List(33891679, 99538720),List(28395028, 25981058),List(87194785, 26076941),List(38992545, 9893284),List(82514472, 1561302),List(70879461, 11961998),List(65840832, 5560661),List(66065224, 94389075),List(94928160, 26801976),List(60183170, 59345338),List(95697432, 98587674),List(28700572, 70792717),List(84007242, 68620616),List(29229850, 67625275),List(13009263, 32111714),List(7426042, 88971611),List(48254032, 36057419),List(75974131, 34764139),List(43376123, 66194445),List(88589557, 66731120),List(93936630, 23814015),List(61047544, 19790767),List(8830664, 39196398),List(89406467, 30201592),List(95343899, 94386715),List(28957466, 67847514),List(62651814, 73493643),List(70505889, 19225578),List(31642252, 96572822),List(97363114, 35336908),List(18797212, 8309532),List(75952322, 79905350),List(75342900, 31545640),List(67261836, 6121672),List(84870764, 50280396),List(26662545, 45970279),List(28044124, 28842781),List(93196562, 41287597),List(85238289, 51607244),List(10947463, 14417143),List(63340462, 72146021),List(51451383, 23203099),List(74381394, 65122724),List(44857972, 60951548),List(97872652, 54084481),List(67861255, 12047502),List(72217901, 7775678),List(64151920, 88564311),List(50615584, 39717131),List(38672291, 63779499),List(52313794, 98849541),List(81368800, 36494308),List(89757088, 25616908),List(61911115, 8142503),List(82371309, 6907718),List(90600654, 80997601),List(40960551, 39840825),List(23190807, 4532584),List(56947594, 15015858),List(2139628, 346028),List(26544441, 27902715),List(61373866, 66932793),List(27940973, 62196557),List(93634146, 95354419),List(1585150, 37659729),List(63525954, 35492818),List(52956790, 48366062),List(98182477, 24660253),List(76961864, 34966986),List(41527960, 91454911),List(57793729, 69203525),List(98686062, 56767905),List(96677633, 81306121),List(4994447, 46050402),List(72310279, 25437541),List(73996381, 10754147),List(10641805, 13028258),List(55688909, 64068229),List(88674927, 32269940),List(46649622, 26209603),List(92558988, 86996869),List(88959294, 27052706),List(25116815, 30444889),List(60177259, 37845912),List(57416169, 250217),List(95449662, 39923365),List(22877957, 74844196),List(31584206, 59530388),List(94771256, 27852131),List(38917100, 30761784),List(73227436, 65894156),List(92109938, 89945867),List(11650987, 6618006),List(19317547, 84500378),List(21332688, 47726205),List(2095777, 2407387),List(83050042, 73788898),List(89935948, 78271983),List(22227284, 7631780),List(82742666, 85871963),List(5268292, 81803324),List(55210719, 72237344),List(58924163, 40494310),List(48097527, 39583532),List(23850242, 50693778),List(52562361, 95838027),List(67974922, 63482610),List(1002744, 97024303),List(48755556, 36319543),List(74032905, 72298024),List(21695607, 25654367),List(12483255, 50482478),List(60811415, 14524248),List(71785807, 63840708),List(39046986, 68847102),List(49905558, 20459580),List(66529432, 42383383),List(55660568, 36528141),List(3784798, 82431664),List(81271235, 56965861),List(2042088, 29465654),List(57465621, 94933436),List(35916318, 18699006),List(54305883, 48136621),List(4509114, 38175608),List(22279215, 23899239),List(31787913, 92994352),List(42347697, 79583699),List(98308928, 98212065),List(10758601, 29072013),List(63998086, 63712718),List(73819746, 17192344),List(630854, 72660472),List(28444730, 95880594),List(12753125, 23577596),List(53501050, 11224337),List(25315280, 50448448),List(40202833, 79581888),List(8247867, 8915413),List(64941858, 46105548),List(62727998, 90379098),List(165700, 29688003),List(34339934, 97676009),List(51684652, 18079687),List(67455018, 58552051),List(15494943, 15106812),List(9905760, 82228114),List(36390359, 4679799),List(71259012, 90188177),List(73967773, 73542095),List(5081281, 87479076),List(22921605, 53869767),List(60972044, 86561958),List(63268468, 85172894),List(19766977, 30713083),List(31547813, 25227102),List(13880566, 75856562),List(17039664, 49862406),List(40178576, 52381540),List(23260935, 70416534),List(76352137, 46915956),List(20936592, 48960881),List(96506131, 90109977),List(9879321, 62229505),List(14427650, 65346034),List(38755892, 54508756),List(40483732, 50271851),List(44958123, 85644921),List(74270785, 28652085),List(60770294, 64628372),List(44706752, 89616215),List(35001578, 62134190),List(15808174, 5228849),List(65096651, 25499382),List(57848266, 55271745),List(76594692, 63417945),List(64174256, 10902578),List(74474235, 60194848),List(95333839, 27850891),List(71045455, 93192141),List(944426, 29240901),List(29780229, 9326552),List(66852989, 90840714),List(10385428, 42481778),List(59659580, 39734433),List(56160329, 93810600),List(48595949, 93005933),List(16203402, 27628176),List(92961970, 76855616),List(27208883, 8738524),List(13803501, 54158840),List(30876527, 59193236),List(42133668, 57210848),List(99053697, 60972416),List(74989279, 28508593),List(17962688, 79541657),List(13593971, 74687822),List(19259478, 24783726),List(43308972, 58700261),List(75661802, 51030109),List(53359115, 43419258),List(66963882, 6775119),List(37151015, 81348093),List(26825630, 79216153),List(15134100, 52761001),List(21959539, 49610632),List(40450361, 53412293),List(68679394, 46912225),List(32437436, 76844963),List(8673330, 75585278),List(48970074, 85197297),List(99571159, 87416464),List(66596338, 99742390),List(89580185, 90485268),List(40472164, 59595498),List(24067321, 27883003),List(7097323, 61885723),List(45750714, 80659489),List(53523760, 21973210),List(44314161, 83820485),List(20123518, 31972604),List(17368950, 10527523),List(17016750, 81119098),List(91263621, 89463206),List(7220803, 49678051),List(43729378, 41571905),List(14785858, 66685165),List(78837257, 61087244),List(68146462, 38581296),List(93815366, 97725544),List(89457233, 75161188),List(82995226, 67256215),List(58044763, 45709645),List(94999641, 67405139),List(62837530, 8595279),List(72873115, 56604420),List(47078667, 83619990),List(174153, 91550887),List(25908597, 39309783),List(63413492, 99141615),List(48659609, 32878851),List(15882661, 70650199),List(38333658, 51487064),List(72082840, 11364127),List(28668830, 93737323),List(33367022, 41472051),List(45104434, 25713125),List(62711995, 36290036),List(36141673, 92636466),List(66540017, 81947605),List(15260503, 12098296),List(37355540, 45760124),List(84394000, 53893862),List(35995396, 39457163),List(15641040, 9960949),List(3541240, 14093101),List(79955801, 17861683),List(52458835, 7010729),List(80624861, 33427135),List(30355113, 74089597),List(12687944, 45930280),List(64511960, 33899867),List(52539321, 45477112),List(61466375, 59280373),List(69375084, 67348193),List(75796422, 54686692),List(39854118, 267516),List(54081734, 45655236),List(46866749, 67159953),List(65984490, 60132338),List(70752999, 52070274),List(93461009, 18280025),List(87605494, 76009044),List(82773776, 29626025),List(94293301, 42417769),List(27480288, 96070869),List(56335938, 5408125),List(8810759, 23718635),List(26036679, 71779363),List(81934770, 87667282),List(95201976, 91604593),List(68868705, 47511325),List(54046197, 8831256),List(42121630, 46604005),List(35056722, 94953585),List(96469505, 37066979),List(81967162, 69353384),List(47195216, 7769333),List(32653808, 87012375),List(65035277, 12921928),List(60357711, 76355589),List(82301575, 80804996),List(10652827, 85430223),List(99249432, 19135230),List(37519878, 38560001),List(4861940, 91085305),List(94259766, 70565156),List(11122608, 80854788),List(45042027, 50259476),List(33369270, 7082068),List(38288344, 70474789),List(4540294, 64875730),List(85614885, 99804258),List(12935053, 55975570),List(71304916, 79976791),List(8104711, 92163763),List(73186803, 74584376),List(72543079, 49601204),List(65759637, 92675143),List(98232058, 11008689),List(51688504, 34578829),List(42748464, 98344514),List(73671913, 87685122),List(55141090, 52802212),List(5063614, 41931744),List(63199546, 12629857),List(27932969, 93084404),List(36782045, 44048456),List(92960555, 78476845),List(7828157, 52751105),List(80389390, 72651419),List(6255507, 99529083),List(44666397, 64726973),List(50229478, 63454125),List(69733830, 89642073),List(66755490, 97032104),List(80955680, 40157927),List(37361720, 93481958),List(73799034, 6805182),List(919593, 95314187),List(15052105, 42436097),List(94271540, 78119523),List(597825, 59134782),List(96189306, 7953211),List(59600206, 15108569),List(60731799, 12983459),List(28833322, 92370032),List(14010959, 97316068),List(44728092, 96094261),List(59733872, 21938044),List(47748004, 9893216),List(53244649, 20356069),List(77510606, 71150252),List(63886442, 4710142),List(99848989, 3813239),List(96972355, 88481187),List(70971928, 93200798),List(49821808, 82436130),List(59407024, 71586613),List(1632883, 3224985),List(34501020, 4520133),List(81864422, 99497664),List(95199950, 90526432),List(63542363, 32179353),List(39312333, 78488668),List(18130271, 70494531),List(38002316, 34154572),List(50680561, 78976734),List(17938136, 18861685),List(52333798, 12575952),List(33018282, 48309260),List(17673369, 53806096),List(36819495, 5775403),List(96105130, 48176699),List(47244676, 67551540),List(41516138, 39103388),List(42630906, 67151655),List(33311314, 59072795),List(20358032, 37327813),List(48216215, 76417828),List(28846684, 78033184),List(85057805, 77099287),List(13622490, 54157594),List(58888254, 11654399),List(53834757, 21057808),List(43464836, 32458234),List(91115213, 80927504),List(91991203, 34460171),List(33406507, 21508884),List(54459724, 41851561),List(13198942, 2707419),List(18085640, 96744072),List(70108331, 73166481),List(89528623, 31907484),List(87438811, 80832207),List(49186707, 3981882),List(43872267, 80066427),List(68593348, 5850041),List(11468855, 11169829),List(92447482, 70549568),List(36058113, 79903361),List(89762517, 34807802),List(67557454, 75188810),List(79128933, 78351656),List(54467016, 61308705),List(68173556, 79842780),List(64021720, 26391470),List(8095780, 57870284),List(78948637, 25753038),List(62040429, 27242667),List(69954535, 9551954),List(87690510, 18554313),List(80139031, 18303),List(78459691, 99585780),List(84214691, 99716372),List(78562214, 80648758),List(20619344, 62027955),List(70616769, 58639588),List(95192181, 97199249),List(32281231, 40458594),List(35978919, 63217221),List(81717367, 77559156),List(93219066, 24880071),List(94864577, 62844600),List(12606147, 22847419),List(79976629, 53799312),List(84907389, 80056767),List(90944165, 65839021),List(50901311, 82098540),List(86681751, 42536057),List(59235864, 28055135),List(28917252, 34588262),List(18421982, 67335573),List(33341538, 72094172),List(95978262, 48530427),List(19772111, 27560182),List(56046592, 90716815),List(61816295, 57174638),List(73746500, 497366),List(87502915, 35417491),List(18824248, 38357707),List(88139153, 66915933),List(5691919, 68432870),List(49165037, 96980145),List(59770936, 43971701),List(40993670, 45166132),List(14154278, 45727924),List(70680703, 1708001),List(57381917, 91794994),List(94482531, 42096639),List(47985566, 61747513),List(64565667, 71427896),List(65634804, 2523534),List(83705397, 91705364),List(73810452, 70739691),List(82935297, 57991433),List(26762883, 98397746),List(55218607, 92887113),List(27427952, 31379765),List(85643797, 51982457),List(57007034, 54416222),List(99369628, 62431606),List(66467547, 33772027),List(34694267, 42415160),List(11120064, 46446187),List(61615127, 78938070),List(3044073, 12194761),List(5189851, 68424740),List(62859982, 22473377),List(39238440, 5619634),List(74932543, 39440341),List(13645589, 96280853),List(9842878, 24811764),List(95512131, 37359028),List(42267240, 11516756),List(33766506, 76486469),List(19979031, 89269628),List(46315731, 51753056),List(90750637, 14204286),List(49676808, 83110323),List(57662541, 22168134),List(55817709, 22550888),List(38296581, 374904),List(61728323, 76773383),List(4449994, 79530511),List(58454431, 18704713),List(88280094, 96143752),List(48069213, 25693078),List(72870135, 31611730),List(32902296, 50412395),List(54904470, 50862261),List(73105833, 82540121),List(3583701, 58670907),List(79321765, 5152669),List(14896235, 27584376),List(82712506, 89785915),List(18441255, 51991370),List(88677660, 21677423),List(15947411, 17334901),List(90587071, 5948149),List(82089484, 34774228),List(32402402, 30534250),List(67111442, 1583010),List(13260651, 71492678),List(2302797, 35143148),List(47223885, 10641331),List(83511898, 10917775),List(86339857, 72647848),List(63186128, 59184442),List(91186237, 13900768),List(2207717, 13968961),List(55351529, 47153810),List(57812587, 60500483),List(96298078, 53069024),List(83492646, 53272326),List(22857959, 90294086),List(34957667, 52662009),List(92216465, 58446031),List(51166065, 42666854),List(81380666, 71694819),List(8520101, 86415470),List(40987510, 13561679),List(75876717, 58291965),List(88020998, 4116832),List(39960190, 16720184),List(79360584, 69488528),List(80288484, 90704004),List(28256396, 18948480),List(13893924, 19333195),List(30362600, 59052002),List(89401953, 59964290),List(11686019, 76746426),List(36412502, 66539268),List(75658526, 74866270),List(15162026, 76765672),List(77975740, 83400780),List(73335409, 77499959),List(17120199, 50700197),List(61349047, 30862188),List(34447714, 55649570),List(38172372, 84766940),List(15599238, 87912848),List(86279661, 80974753),List(74687694, 47234036),List(76732680, 47635862),List(64824400, 55012373),List(15453592, 54809937),List(88648960, 8546810),List(66032379, 98111900),List(42054229, 88440735),List(28946198, 69247997),List(70504401, 14748180),List(59086826, 94159492),List(57737853, 10457782),List(93750780, 7368217),List(4781998, 15149068),List(87725824, 39019750),List(95548518, 55085976),List(87683144, 72730043),List(76601104, 28184106),List(3188601, 30702744),List(26413002, 32148141),List(64496583, 37342153),List(53411167, 22016935),List(7298063, 29742498),List(52388472, 10023341),List(3563554, 41570195),List(23818872, 71494200),List(1219915, 11526073),List(20004545, 45843603),List(72817390, 7037364),List(40217661, 89887490),List(19827738, 41167768),List(80682996, 8461021),List(70642548, 66126200),List(67259190, 24993608),List(4419399, 94455642),List(35616367, 6956444),List(91518084, 66560734),List(20066145, 42906740),List(51571616, 1634429),List(40555983, 21339874),List(82160807, 39527386),List(57655034, 86616966),List(70875905, 17434505),List(27387855, 44537568),List(97427580, 25016058),List(25276979, 35138566),List(16866492, 63513171),List(92124205, 86562155),List(17665134, 5387683),List(53327524, 79007368),List(4758196, 85433358),List(63503526, 50905585),List(89282637, 23931770),List(20123252, 92475608),List(53029370, 68703520),List(25595218, 87588047),List(77664227, 50458573),List(75317012, 61419897),List(8299012, 13318959),List(9959912, 56604382),List(77203399, 73748838),List(63458276, 88426141),List(79895528, 96274422),List(18659827, 66247965),List(75097744, 13986827),List(9499785, 12355218),List(21119418, 22872343),List(41032646, 50356184),List(1254311, 55187532),List(23758400, 31559873),List(43846993, 58199285),List(44677317, 62777804),List(70913824, 29989052),List(29196229, 93594590),List(39181630, 94951239),List(28551225, 44057579),List(21491642, 10225967),List(13138026, 8846975),List(49027555, 98887488),List(71166508, 47962432),List(63101838, 53225380),List(31068148, 21138603),List(77630040, 29372388),List(90677772, 31215708),List(53661215, 9159542),List(68201250, 74684709),List(48040046, 2393384),List(59523342, 16221172),List(84325320, 18881118),List(40094854, 19783785),List(43650118, 65574357),List(27088447, 59391744),List(73751257, 17677338),List(38380002, 38647352),List(42218013, 14361651),List(215958, 27171863),List(26499323, 7301513),List(33409123, 59005964),List(67130692, 5472607),List(95513451, 5846652),List(80482807, 17932643),List(58294435, 40026159),List(38093586, 67243184),List(59275253, 31198068),List(51624805, 75235481),List(95228648, 70600890),List(5170683, 82887314),List(45625281, 2124862),List(29414268, 3783930),List(7928796, 70981468),List(34357806, 171116),List(97905407, 80342236),List(79153512, 13722334),List(64668607, 1572782),List(28536117, 92999017),List(95902220, 25492399),List(83328116, 23800425),List(21730390, 11483458),List(49155857, 17131099),List(13158200, 96722444),List(55130191, 11427818),List(11987097, 11713022),List(19579083, 79953529),List(36629545, 94325915),List(83107710, 86956232),List(56504388, 64391348),List(62024628, 63225700),List(70457832, 56840941),List(64945774, 67097907),List(87111858, 53844535),List(58460330, 48137722),List(16371721, 87635961),List(56983574, 50016219),List(49827819, 96842446),List(27642857, 28505150),List(21394139, 8926153),List(61479270, 22877081),List(64998266, 9951624),List(86687778, 46188753),List(41097225, 56926461),List(76264473, 79821893),List(77994863, 102137),List(34455716, 63177369),List(39815322, 94062650),List(59393166, 41654314),List(35677154, 97168715),List(88196465, 27054505),List(91470513, 3174940),List(65276534, 2587444),List(16359141, 50895504),List(63656463, 65966814),List(87675064, 83056571),List(98247515, 29381566),List(49164206, 89017059),List(43102623, 39040035),List(46170132, 65030937),List(82193269, 1268880),List(85649465, 81856043),List(32628974, 9783047),List(64045232, 55197845),List(51036884, 34891721),List(55738740, 98222484),List(76955782, 62339492),List(52383330, 19488823),List(41557044, 88014735),List(27624798, 40278697),List(2938193, 68609880),List(22800022, 44889242),List(56259598, 57099164),List(437696, 84437384),List(36253746, 52019247),List(36118188, 46264210),List(57766188, 43981721),List(79207205, 36497301),List(74383027, 71488679),List(38737686, 60153788),List(93354980, 85348167),List(32119665, 45796834),List(84962938, 30986307),List(84539058, 62520688),List(56169323, 61191608),List(44061331, 479758),List(14372254, 520137),List(7345100, 90747279),List(59537415, 21270483),List(45827719, 46513789),List(79815088, 88830631),List(33687473, 62914926),List(5487118, 96249825),List(42738010, 71496497),List(38944310, 34837408),List(14999772, 39883179),List(10071257, 80014005),List(57025737, 14622022),List(95534972, 62996697),List(4389038, 30763570),List(50781451, 18244509),List(23240087, 86890918),List(42311692, 65777750),List(29888947, 27550271),List(45226894, 58117841),List(33800835, 26838806),List(67967628, 88211263),List(50443935, 83074522),List(19041783, 11941942),List(8245693, 55129224),List(44584564, 72428540),List(62507692, 93936921),List(58396782, 96438358),List(60847832, 81429206),List(18882041, 61214897),List(38538843, 27842347),List(8250707, 11855283),List(13281739, 10794647),List(58426120, 63945281),List(90828623, 72026301),List(35824091, 87855079),List(99082861, 55255644),List(16709969, 41206320),List(75090311, 47038870),List(91071415, 20052287),List(72177138, 36552711),List(93058650, 43301743),List(54166781, 15705947),List(17690392, 73392237),List(75506202, 66992956),List(38905896, 10436195),List(18984715, 13278728),List(85504494, 82019024),List(58524093, 28297565),List(97080896, 99879325),List(41972563, 97894783),List(57367146, 24060107),List(69259182, 4289729),List(77323035, 19532441),List(51631384, 63806524),List(24313602, 61391045),List(47369640, 66540907),List(40365770, 61789009),List(63252155, 13918522),List(53578447, 38309567),List(36735133, 30601634),List(35518808, 74698338),List(22448368, 15262409),List(75932664, 14266829),List(92622340, 77151745),List(11071155, 62402835),List(99981133, 21780219),List(57719205, 16316646),List(21853387, 70879158),List(60539718, 77824918),List(72142870, 43091556),List(82790567, 90564399),List(76573095, 13864140),List(171361, 91370248),List(9921875, 92397604),List(9960662, 32524239),List(11557262, 84913106),List(94560796, 34096597),List(91880279, 74965778),List(16582904, 48746736),List(28156169, 98831736),List(74557518, 10781994),List(34297162, 49211976),List(65893463, 67827112),List(42827194, 66926819),List(87263214, 73143190),List(99604356, 73694940),List(76165477, 77157767),List(33034944, 96028660),List(52211423, 84722303),List(36054072, 23267157),List(95270066, 63521519),List(3315930, 45685138),List(33758290, 61663074),List(96803379, 46573615),List(77231410, 11319105),List(1315109, 25022638),List(58403779, 67709055),List(61304103, 30891918),List(8360816, 58151792),List(5450831, 83133665),List(79125573, 23541728),List(74977507, 14892043),List(92059078, 56477734),List(5241343, 83499509),List(40179544, 31425398),List(1774306, 72480156),List(1825791, 92229025),List(59637312, 61835026),List(80404490, 15046028),List(361683, 14058328),List(49707846, 19019445),List(55892574, 91627073),List(69108616, 30064020),List(94505422, 92893180),List(33403016, 34389662),List(21368708, 19673819),List(29111986, 52261509),List(11359013, 70275468),List(74179568, 61338074),List(72261056, 48044515),List(57097310, 86882616),List(39404071, 28917587),List(33817401, 62751448),List(39275433, 21803812),List(57629762, 28071453),List(49015466, 14756657),List(25041652, 63176580),List(86753827, 85200201),List(38976444, 97519698),List(58456357, 58290529),List(62990548, 50132594),List(56221699, 58293338),List(56533313, 97477380),List(30223338, 85609366),List(40846978, 33620178),List(83518376, 16855103),List(79610122, 36394963),List(42456857, 12372845),List(76435266, 82475145),List(3644280, 27621119),List(8942799, 43757531),List(84592635, 23824329),List(47180827, 62112361),List(3641759, 71970580),List(98396541, 5287567),List(31831269, 70934081),List(60696433, 55034448),List(8077252, 69318999),List(69573324, 86809479),List(95846794, 65511043),List(73653113, 43176968),List(34911413, 35289125),List(80846805, 76730911),List(57270049, 64007290),List(46729019, 62047703),List(40420667, 32834124),List(35795383, 24737583),List(47492433, 50216439),List(34103587, 17803847),List(75789826, 47828389),List(38680999, 49545936),List(77938368, 83569879),List(9419509, 12238740),List(68869086, 54867901),List(72098529, 71647958),List(15328936, 28737624),List(98580459, 52433914),List(3668423, 61316867),List(13990353, 25643528),List(90210129, 49743058),List(93541880, 79975304),List(79888848, 2872075),List(67686381, 45201091),List(84153278, 34732943),List(97094084, 34844922),List(71700010, 24944698),List(58455998, 90372484),List(36165734, 72990998),List(2404733, 3372518),List(94715281, 35197470),List(55620222, 72159147),List(63784433, 46193960),List(3318840, 40746050),List(34191816, 82256338),List(50040042, 41719735),List(23067879, 99675969),List(55576772, 872979),List(92645437, 28821081),List(51027194, 44688041),List(74589433, 23646354),List(1728548, 69181149),List(26636436, 25725040),List(35298572, 9581700),List(97932728, 21182972),List(72611243, 21466751),List(21092191, 21410235),List(34750562, 32524148),List(40536200, 18847700),List(1955104, 1156062),List(74129704, 11063522),List(66539974, 90058024),List(76360120, 74847705),List(19759625, 80222279),List(55780768, 7779870),List(20409791, 2098099),List(86372, 98772767),List(89765843, 48130920),List(80837780, 41622464),List(39935061, 27136190),List(98162563, 18638749),List(91678039, 97535449),List(93834704, 90011828),List(5728458, 72524886),List(34574468, 96170524),List(33916746, 59773067),List(21890335, 93870972),List(47208543, 94711243),List(95418329, 67691969),List(93932716, 48865337),List(33939068, 8152059),List(2835139, 71078771),List(40434118, 56817314),List(84654450, 50288540),List(49819345, 73259749),List(94555915, 11027884),List(96221191, 95171298),List(48928138, 98612265),List(83093510, 7319080),List(35200365, 93957253),List(55470810, 86406138),List(26662637, 65670133),List(23257628, 75297027),List(80405683, 81167906),List(91699992, 46742521),List(45209352, 15746809),List(17836469, 1845686),List(64000932, 89054236),List(75561713, 67826458),List(61938656, 80010751),List(23723004, 42866818),List(75902650, 90960480),List(40803597, 34535547),List(1136217, 49390478),List(72795430, 61291907),List(6149342, 63589330),List(81576476, 2726192),List(60369153, 60049265),List(33739713, 47449091),List(50413295, 61885968),List(6085682, 89929695),List(17099309, 23943972),List(43831149, 40794890),List(96625548, 93449327),List(32765691, 88591485),List(29401313, 66474236),List(63532748, 76785754),List(28784350, 44319284),List(16551401, 70446952),List(36679550, 39021028),List(37251478, 65260446),List(68250096, 84874180),List(14531469, 79549581),List(28242610, 71297201),List(41806002, 85608298),List(38709147, 66093302),List(44055136, 95680924),List(55909816, 45128536),List(87756895, 49452184),List(50731649, 31782064),List(3577533, 188401),List(66765643, 83610381),List(27784184, 4565782),List(95980106, 80626226),List(30537704, 18033565),List(46203326, 62759420),List(80961110, 38402454),List(60229032, 88276421),List(91231345, 89592268),List(73844133, 59239424),List(36014016, 28182204),List(6445395, 37411513),List(68068336, 62865177),List(639084, 87034893),List(35936303, 81820929),List(50528085, 30408571),List(54285920, 60858260),List(78524785, 1029926),List(56659898, 65420421),List(19108773, 83352100),List(4377689, 38392642),List(67144099, 19232454),List(69429146, 19198457),List(6739544, 57462255),List(71158888, 35522159),List(57542146, 78633969),List(92129383, 21282565),List(86914303, 53219050),List(19470962, 64205260),List(54197794, 867481),List(5408220, 39178714),List(97383346, 8186738),List(55367836, 67908730),List(14166984, 13230118),List(49428476, 91747265),List(45128735, 45389289),List(64106742, 18379129),List(9813225, 31859836),List(27742077, 44687590),List(58451929, 11850500),List(98760779, 55892059),List(27905276, 30693005),List(78892855, 79380693),List(21659187, 3631191),List(24414509, 482767),List(44996283, 30878452),List(45832941, 44220340),List(87189173, 63598274),List(1506014, 99452872),List(11493402, 3110175),List(41689330, 27460303),List(10207751, 7748047),List(13544221, 82379713),List(645657, 94808503),List(45482411, 51195875),List(83146667, 99170525),List(78807164, 1055210),List(44170728, 19467432),List(9664409, 77096238),List(57653723, 61568828),List(8744505, 81705775),List(83007364, 48424341),List(85392403, 75220726),List(86526162, 52833346),List(76465078, 38641341),List(43521219, 72549359),List(84719671, 37458069),List(41693984, 6395408),List(51785633, 63480269),List(1240313, 98219042),List(47844828, 38892292),List(27280621, 81242449),List(68567415, 20507393),List(19790018, 96755491),List(64424821, 5621932),List(20351420, 39508125),List(37372978, 78761255),List(91112408, 17851903),List(93343788, 62225224),List(70813221, 73048557),List(77012856, 60304082),List(70498118, 66895615),List(37452039, 65183400),List(4249910, 88361313),List(89924560, 56123080),List(90800516, 22717399),List(49860270, 54514305),List(92354367, 56922081),List(85725416, 21299726),List(83470170, 54985983),List(41273675, 77959082),List(81199956, 41883347),List(26423813, 67585673),List(48002975, 35942997),List(77707214, 5238339),List(53431157, 54932043),List(4048702, 94789670),List(58897002, 80464443),List(21837331, 42930492),List(67622588, 77976545),List(22206314, 50442537),List(29768752, 89471469),List(64842462, 72690887),List(79341283, 96599273),List(93815451, 4269056),List(29197396, 41362043),List(5924023, 90852548),List(58672124, 46513774),List(32206844, 25027083),List(99858598, 53352732),List(39734995, 78552511),List(3592149, 69512712),List(64094082, 77294220),List(10222067, 3563390),List(2784657, 2690137),List(48574716, 90487835),List(61403314, 59693641),List(71896628, 90624207),List(68918106, 61922970),List(85036831, 17359577),List(44712481, 67970603),List(11485594, 74117163),List(40654351, 60313985),List(60864581, 75838661),List(18838918, 78445971),List(50915995, 51458359),List(19313479, 958200),List(42168451, 73978157),List(42758926, 82047648),List(77483755, 38727963),List(38526138, 72246667),List(15685971, 50902903),List(81979675, 59066684),List(33090979, 20785497),List(96223960, 1285632),List(14207939, 17156008),List(60867916, 54317132),List(43445465, 28848636),List(19157014, 61089157),List(25493195, 74964497),List(91822423, 20672156),List(40352989, 76779807),List(43435700, 83451599),List(87346652, 47468054),List(282860, 95345913),List(2293317, 23085491),List(5208386, 47100498),List(81241673, 34391800),List(24439633, 80921437),List(86624535, 88021954),List(58658362, 38441189),List(74554249, 78730841),List(18074967, 51438156),List(78160911, 83687740),List(96360345, 27037884),List(11125634, 18257257),List(37474158, 89057098),List(66309908, 51200301),List(4123781, 7016896),List(47960799, 18424802),List(16131128, 58363473),List(88104326, 82494562),List(50104585, 21476146),List(86598989, 33979243),List(16201270, 46573427),List(41498534, 49772578),List(26163410, 36813001),List(83355517, 71239814),List(45728681, 90273133),List(87882945, 57490775),List(66975061, 45384535),List(82931287, 21648243),List(18618604, 56526400),List(78657177, 67531746),List(44120125, 36174243),List(60339540, 36846357),List(24495382, 55374826),List(58276802, 94991600),List(19800664, 50141980),List(46685976, 7807494),List(83719110, 83920394),List(63452754, 85749051),List(19116759, 59907978),List(71494576, 58415994),List(38546502, 34063567),List(49911095, 73209492),List(34227700, 18195892),List(54332826, 49912150),List(51697244, 39341048),List(93384070, 24465651),List(63865700, 29474219),List(56336251, 67510590),List(82884451, 41015425),List(85644263, 78235255),List(23138846, 95973463),List(16492851, 97427753),List(60055418, 87698136),List(61361731, 8829662),List(92452114, 37284718),List(42441587, 49102657),List(86369453, 32126402),List(24354054, 89687714),List(43065113, 31646250),List(965907, 4863635),List(13630721, 82311148),List(30318421, 56752348),List(88976126, 56788505),List(65574829, 32974549),List(27362999, 95506679),List(44147824, 27849972),List(58108817, 7146930),List(36303790, 24978866),List(79001414, 96036090),List(64594496, 59530762),List(30009807, 62772105),List(33405480, 70507831),List(20836848, 88499089),List(69321215, 3045406),List(6889822, 62742588),List(66570197, 21426658),List(47885864, 60506455),List(12033437, 67715805),List(30170257, 17308321),List(13167233, 13091705),List(45960781, 17051143),List(84509345, 19718480),List(17683229, 33715084),List(48732070, 54861333),List(84563389, 60453711),List(46898071, 75823676),List(56423888, 23926256),List(55823638, 55958656),List(24100885, 73098821),List(38073781, 27526518),List(97048239, 55820279),List(25563307, 43188311),List(21625813, 14161108),List(23167648, 87817084),List(31913002, 96911047),List(37589459, 87125501),List(85613209, 81983725),List(20392893, 33608600),List(78742099, 94001195),List(59287674, 27060298),List(2268648, 70389397),List(98796296, 890968),List(8826164, 56633275),List(29680452, 39062213),List(18281056, 6287335),List(74495872, 81640721),List(85942485, 48733954),List(14259679, 75677308),List(66080792, 28102755),List(90419156, 24706170),List(42254439, 89587437),List(29184266, 59675667),List(77678955, 53224631),List(16502947, 72146271),List(23509469, 40067127),List(57951341, 76826015),List(82934893, 64012283),List(79359340, 38854535),List(43751351, 87343175),List(36264078, 37142569),List(80289818, 71547840),List(47037878, 3935409),List(84858646, 66796629),List(27203159, 74164830),List(86834512, 23734943),List(93451223, 6528524),List(51159443, 6664814),List(12701722, 66288925),List(77306151, 67680129),List(36772244, 72210959),List(95396680, 64319092),List(34175446, 97434216),List(75250461, 2713821),List(34431940, 8442808),List(37861231, 75448316),List(66628262, 95154188),List(5955041, 96952521),List(70742803, 87682298),List(62778174, 40437711),List(41354398, 30590797),List(76502828, 86387881),List(38306866, 50024781),List(79349830, 71944818),List(53053564, 96334563),List(26100256, 61252324),List(47331493, 26422153),List(86068938, 6917177),List(14993145, 1808426),List(25721287, 67765678),List(86773898, 79063634),List(11684880, 93275953),List(32247224, 86223276),List(58174578, 4199301),List(82248587, 1022647),List(77072907, 4263324),List(3109672, 90098534),List(76268375, 36685674),List(17735163, 50380865),List(45073048, 21174919),List(27144709, 4996439),List(62918025, 58061195),List(71546466, 11117592),List(57772318, 45730451),List(73989172, 29298259),List(50511828, 4544869),List(70910469, 69180304),List(44787707, 52563810),List(58618140, 17209383),List(83828539, 54964489),List(41164842, 24449901),List(92658926, 27668452),List(28600274, 66477773),List(70057408, 256797),List(53572787, 95757786),List(99739784, 65070495),List(88468270, 16005198),List(86986796, 88021722),List(624993, 27115528),List(54800848, 93030287),List(40463748, 77758396),List(32496122, 22069407),List(79777923, 85630335),List(9547550, 54203319),List(29417577, 23387730),List(93025604, 37268223),List(26334538, 97193692),List(75424416, 31103867),List(79035725, 76068076),List(64842730, 26469634),List(21990220, 43543343),List(22401838, 34841074),List(11116658, 92405216),List(44257450, 13203144),List(11531458, 25597542),List(53780599, 74966437),List(56436260, 95144942),List(70475876, 14490692),List(76437034, 20466809),List(42791510, 11154917),List(94191298, 48189928),List(2708240, 66630971),List(69790481, 5728552),List(60763051, 41244875),List(62798260, 38880983),List(23372514, 98417895),List(56747635, 40475037),List(39988482, 56276846),List(22435243, 56518806),List(65091501, 82684543),List(43947087, 95228682),List(1027356, 32918468),List(50806663, 4358131),List(58873061, 56486388),List(18507232, 81981918),List(66557688, 25506480),List(89109211, 12971116),List(94529319, 99730036),List(93862934, 71001040),List(41863156, 94938588),List(21023784, 89463630),List(51324344, 44516184),List(73223492, 38555281),List(26557899, 71856457),List(17655231, 32305309),List(33509622, 71214377),List(21657488, 47375118),List(10671113, 42791435),List(65180964, 57637787),List(45594409, 73311687),List(88107820, 20301398),List(29946949, 56762049),List(30859199, 61020421),List(98747324, 96322193),List(72434876, 76435294),List(73143418, 76881457),List(29284862, 1764106),List(24859974, 7646458),List(62925700, 14590259),List(31086922, 97032626),List(3427579, 81507888),List(20687093, 18579938),List(83563035, 26341928),List(80321843, 26235271),List(6523224, 44336919),List(85200327, 54700832),List(82083519, 33387150),List(51430836, 53734542),List(66216900, 37125810),List(55451112, 81531423),List(84019357, 66716452),List(87107759, 55064070),List(62461616, 51536822),List(64476531, 67794875),List(78980950, 60351941),List(94446121, 99193222),List(61326899, 62292787),List(33559778, 22185272),List(6541400, 97586336),List(7318859, 96849110),List(13399898, 35505615),List(29384275, 47790579),List(20438126, 38262853),List(85798005, 65416063),List(71243607, 9119266),List(20012858, 36192574),List(46950338, 3967904),List(9716375, 75675565),List(11277547, 62111141),List(83071103, 24101361),List(2002749, 46902135),List(4835621, 1137806),List(20129177, 54230670),List(18087340, 63930340),List(30677699, 8726755),List(19790032, 40986828),List(8000204, 17325040),List(52477166, 1482008),List(28479896, 3757475),List(76529178, 96486543),List(41820022, 56528305),List(27525133, 29268832),List(76914221, 34809107),List(76899480, 23328434),List(41671403, 1849885),List(8641046, 98453810),List(67140373, 45800575),List(3706586, 76622985),List(38025900, 17817560),List(12820402, 83259810),List(64614497, 24279520),List(54802187, 48645124),List(34658546, 59117161),List(50622505, 42750823),List(12863452, 97184621),List(36412183, 17502594),List(39098649, 90271915),List(15226156, 28233559),List(58987681, 64780778),List(12697289, 12593870),List(21578262, 9992762),List(51974006, 23986684),List(37946368, 52752028),List(72278658, 50416251),List(32574610, 13843806),List(75061248, 28359078),List(39982338, 34721859),List(51887461, 89297772),List(25243109, 448482),List(85569466, 42320727),List(54234129, 19189346),List(24467942, 82538266),List(50635065, 62592130),List(74906390, 58966144),List(52124016, 53713487),List(79472967, 7463254),List(62159907, 56713642),List(45630172, 83983839),List(26230673, 50812277),List(23064008, 21753838),List(36977989, 8580516),List(49318526, 28746003),List(69401007, 18716909),List(23064817, 29125681),List(6187600, 20088764),List(82705114, 19971407),List(38050381, 58478816),List(56200995, 14115814),List(60179201, 80779287),List(22465880, 87557335),List(35055403, 56103927),List(49668365, 43760699),List(66108660, 27936449),List(98491127, 28933634),List(61853411, 17202584),List(54706806, 56487808),List(31092730, 59220765),List(88239842, 4181797),List(58565946, 268796),List(92518187, 36418613),List(32194308, 89327142),List(94884093, 52187296),List(44712816, 83726582),List(94566991, 38813403),List(63827092, 89943851),List(6128319, 50477574),List(51169780, 28642099),List(30441522, 97285038),List(60907420, 43715956),List(19888397, 26744212),List(30070300, 61170928),List(10328704, 87147247),List(40030819, 87263182),List(43693077, 85678210),List(76748480, 30535736),List(94582114, 49613701),List(52375336, 79301672),List(55145473, 98653088),List(75368361, 65368854),List(70953351, 91854759),List(64386112, 53324598),List(11897680, 93943029),List(1824197, 71362302),List(33460166, 59935845),List(31858076, 31747575),List(43423988, 17661701),List(91597948, 5742883),List(44695006, 16923048),List(92404141, 29329513),List(96771320, 9703694),List(21597534, 22444931),List(56842915, 21066236),List(1001266, 27434839),List(14511485, 58304391),List(8270880, 12123587),List(95368232, 24337821),List(26296761, 1592808),List(9371027, 9463406),List(24135632, 67886829),List(4609694, 26332669),List(75759110, 25042780),List(58949409, 45712703),List(45341690, 60382726),List(52941064, 79991780),List(8184333, 12065777),List(68941814, 22267782),List(36429326, 94306875),List(4798125, 90024567),List(82949277, 48347663),List(99098342, 41757005),List(51575793, 21419715),List(63241498, 250970),List(54824263, 94298109),List(48709491, 51771104),List(35106360, 33384157),List(48116880, 23757189),List(19523474, 29864951),List(63652586, 72331152),List(4481818, 44648620),List(52761915, 16111891),List(64652420, 97912412),List(89332082, 6924434),List(29130312, 7419293),List(34467454, 42274313),List(15579547, 95743895),List(71129447, 29651414),List(99563801, 79600585),List(11081635, 91899858),List(98871821, 81590825),List(19267031, 42871155),List(97777642, 25988206),List(85668512, 31826248),List(74048860, 82334664),List(29469808, 96446135),List(95792500, 97106720),List(24527734, 34030657),List(66382263, 58774128),List(83449010, 15230788),List(21659298, 17277793),List(71144296, 34906107),List(45616169, 61339841),List(41818822, 43139381),List(10208982, 68764988),List(48652861, 15057954),List(95175511, 71128526),List(80309115, 67146890),List(39324789, 8080297),List(75924561, 56973776),List(3507580, 13942602),List(3710604, 22053110),List(49836231, 10673682),List(40652851, 81928588),List(84611671, 32922169),List(34078743, 99081227),List(7757127, 13407660),List(89124113, 72256477),List(5420940, 60700356),List(12050250, 97527711),List(46164757, 25992268),List(38313806, 76412336),List(69549798, 23748018),List(70071756, 52147016),List(62641247, 15701407),List(46619958, 20299803),List(40138785, 5311357),List(96698577, 55506853),List(76447247, 15604607),List(55451914, 18090093),List(46830298, 12989004),List(20409437, 72727635),List(86570180, 68658099),List(56234026, 33053293),List(48623291, 79254553),List(5539494, 93987591),List(73496482, 66335706),List(57356655, 57233576),List(92419379, 99911119),List(14870495, 74236970),List(96608035, 53514964),List(16541326, 63924851),List(30760002, 2063901),List(98178925, 42754895),List(70839121, 51327022),List(32431727, 34232693),List(1915044, 6163764),List(54292468, 57005823),List(3689310, 17037653),List(69988645, 80370000),List(96512316, 58907088),List(49694438, 83783998),List(37241999, 21943328),List(59053977, 56430117),List(29901681, 43736337),List(85846093, 90963103),List(93559524, 75124862),List(40190824, 93188901),List(74795548, 51087065),List(64321168, 90890105),List(48018351, 10880676),List(1122931, 49730234),List(65595608, 77718660),List(24727662, 84417474),List(42639565, 79973580),List(74432153, 35472895),List(59691088, 2866239),List(86713601, 81859753),List(69950236, 89896895),List(13502981, 51268018),List(53755230, 46369347),List(59039580, 75596111),List(38808573, 16416004),List(45911028, 1763807),List(26841729, 33604889),List(26193203, 47887554),List(34894293, 47508856),List(58373358, 96363772),List(34216266, 21958137),List(79686452, 84200225),List(65030558, 80103265),List(20488140, 15403511),List(94255854, 93673615),List(71931344, 79060666),List(39892374, 70894204),List(22172589, 99802210),List(93704000, 55680822),List(40645257, 45552006),List(85122673, 31674704),List(56590147, 55835058),List(60371966, 68618264),List(11683448, 6054189),List(56136958, 59260969),List(75723947, 21641922),List(85891208, 30173650),List(37328114, 62108564),List(77524381, 12254160),List(70746606, 70719021),List(50260583, 63453181),List(81984044, 18932201),List(44398338, 29694419),List(53922929, 44085836),List(69216395, 41790714),List(76009123, 22565896),List(70314780, 33419822),List(77520936, 16884971),List(19539401, 79957445),List(28702671, 78584255),List(62988468, 49695298),List(45386279, 37266680),List(51415152, 17755936),List(98343477, 98640997),List(38672182, 34849118),List(51954059, 38485592),List(20962242, 23399486),List(68489080, 9706999),List(69622706, 91458951),List(54697253, 47082980),List(46069349, 5550333),List(6448369, 17621619),List(13951519, 23750304),List(71516999, 86267098),List(43277072, 19031411),List(73333821, 85706045),List(22032078, 28041077),List(45782446, 4467735),List(41970455, 89401538),List(46496631, 16860315),List(36427189, 91595698),List(55503089, 72852631),List(58310379, 43138493),List(67403253, 18353641),List(10191538, 93197803),List(20540640, 20420926),List(28435731, 12607794),List(23825977, 62182622),List(59920968, 77369476),List(47299197, 91204067),List(87748748, 92289350),List(64774959, 72255287),List(60781653, 91066780),List(10057970, 14626309),List(69367794, 16158941),List(64631722, 44127279),List(94926737, 43313233),List(73958791, 11100280),List(2850159, 13470379),List(40593914, 7519553),List(6686643, 5242210),List(89958489, 62450470),List(96679403, 89016182),List(76581242, 82775916),List(69099212, 49214543),List(75230012, 84588193),List(71422711, 2429191),List(35746485, 89091673),List(96518324, 34941743),List(93134767, 51689423),List(36485741, 7925955),List(34149720, 96470170),List(60773168, 89853711),List(34453830, 23493491),List(8606268, 75009323),List(92108433, 73074784),List(57369066, 20609267),List(78379549, 66577418),List(47556641, 80290925),List(33022269, 60966995),List(41533752, 81308944),List(47363327, 49305752),List(83877153, 88120129),List(928974, 13130271),List(36140605, 49502229),List(72816305, 79881139),List(78382604, 16385060),List(92133201, 49990691),List(27227800, 59085749),List(78729878, 99245324),List(70871322, 54999202),List(79956898, 53909049),List(76971930, 57911365),List(45517571, 84567857),List(76921070, 74162553),List(32321654, 22683456),List(72834954, 75364460),List(19095767, 33655789),List(39775695, 6917689),List(86873271, 42360616),List(2574703, 22903161),List(88422766, 50766903),List(69278208, 52039547),List(78292891, 88561195),List(1024026, 85180573),List(40482681, 10539905),List(47638522, 24331912),List(62953742, 41038556),List(64633950, 74395552),List(88888520, 42625054),List(40331976, 64403459),List(63012474, 64978748),List(38244887, 84877943),List(33285684, 94222857),List(44976048, 94244280),List(56097486, 55360127),List(50511044, 39746967),List(99550055, 1201882),List(81337049, 80614587),List(64631260, 33535214),List(46660727, 28910741),List(80419319, 63132887),List(36640255, 68615837),List(58936830, 42598501),List(66077568, 30165179),List(40421777, 68650570),List(96356817, 31501648),List(25905336, 2678201),List(40158457, 30159386),List(77762403, 28382637),List(48592812, 67531673),List(14015970, 89431953),List(1530978, 82545661),List(55489777, 4083672),List(82789900, 72717309),List(58729265, 327788),List(54086642, 68128277),List(35300472, 68592113),List(89977168, 41962320),List(48803372, 4196405),List(36265306, 54661459),List(40409217, 45036293),List(17569608, 16865251),List(9286534, 89910687),List(41950552, 66140389),List(36502649, 25040229),List(52575242, 87818672),List(90040206, 71043935),List(1335442, 35646176),List(65927378, 88458568),List(50299199, 65869047),List(74297393, 11410825),List(40171026, 6528920),List(13616722, 86281515),List(11557631, 44045872),List(49554065, 36558698),List(91557352, 53113467),List(4027918, 5801147),List(34361237, 18530049),List(8026875, 45932238),List(18794041, 70116047),List(6072397, 33319524),List(68892596, 2331110),List(26197118, 9607640),List(19115685, 32966852),List(44008731, 95657083),List(60260330, 31794531),List(97920669, 10526293),List(27435826, 97006510),List(3457716, 15569997),List(62893521, 41800847),List(45302271, 91471951),List(20872325, 43746892),List(46254317, 49846324),List(2190334, 67512205),List(49290794, 78392522),List(38232153, 37975560),List(13307243, 86192630),List(97373613, 90333966),List(24146793, 30783730),List(44202657, 97964466),List(2864740, 40960961),List(93082948, 39196090),List(30156475, 88840964),List(24975346, 86924925),List(52960887, 15124756),List(82635512, 82704776),List(1771939, 63159346),List(37207466, 34015282),List(39767831, 89076072),List(43829062, 83098309),List(41014494, 8088334),List(47592435, 38153322),List(47039684, 86226303),List(93376179, 96265109),List(60225078, 82112945),List(48442391, 82204679),List(43604773, 50767860),List(55730962, 5091168),List(88031612, 37707557),List(8033420, 79326545),List(5128569, 31041674),List(57857594, 34659845),List(95900538, 57920962),List(3024237, 760149),List(12347600, 74726278),List(74474118, 17527685),List(95136371, 45610829),List(97453868, 3992971),List(78394795, 47134456),List(7323836, 55602426),List(21705324, 99741776),List(58610358, 3695367),List(65602806, 48822159),List(34290330, 97046428),List(59665285, 30105888),List(62601795, 29731057),List(1465966, 59174043),List(84398010, 54499555),List(92231123, 14528302),List(91815117, 49823483),List(67470253, 52053149),List(7023620, 23804776),List(9382520, 68530885),List(4437518, 61709901),List(64066889, 49369652),List(37564235, 56513931),List(60573384, 79692348),List(40803607, 27728355),List(4336826, 46461796),List(62390675, 35459467),List(13186691, 66968217),List(20797715, 5897108),List(98818521, 86500293),List(91818772, 52047186),List(23607701, 32986396),List(73660360, 61017962),List(16559454, 56972634),List(92686496, 18302603),List(35363090, 44645627),List(3720205, 57587578),List(89559721, 3296919),List(85283567, 19215700),List(30900612, 85188263),List(68415974, 94956082),List(27205065, 2411798),List(68648847, 80316705),List(32743674, 66463190),List(13372201, 77249377),List(41871042, 26538377),List(3401810, 77779238),List(63817611, 89199553),List(68294816, 43586260),List(73010019, 86584577),List(69212993, 27743734),List(95507735, 55903044),List(15884258, 320615),List(25496945, 7064846),List(10594412, 56613867),List(59947951, 73814510),List(24567143, 22815990),List(52721371, 79707066),List(71709248, 3590785),List(23467198, 85424658),List(53397676, 96989458),List(21314552, 96301624),List(49216430, 20914376),List(96505508, 12883309),List(1309987, 95630883),List(18042196, 87725676),List(41298753, 46151254),List(63517643, 72263598),List(14607928, 56669723),List(88701408, 95008774),List(70157568, 91299797),List(11441357, 33289266),List(56945471, 49057318),List(52528084, 91216695),List(80641319, 91250674),List(15819742, 35838477),List(16817750, 86952463),List(29786435, 65586385),List(91529089, 64649329),List(88305626, 91499441),List(57244407, 84140239),List(97660817, 9345734),List(28613904, 24536987),List(67522077, 2843049),List(16518712, 29243858),List(57688112, 15465788),List(83286591, 66502255),List(78953261, 73539077),List(19762729, 9852078),List(23196635, 68788752),List(75458415, 16430607),List(92322077, 37552054),List(74099931, 29549533),List(28259272, 94997606),List(22320096, 41731015),List(93513815, 11032212),List(66092003, 56385982),List(98563094, 29137497),List(25229322, 51896632),List(75723570, 96950770),List(67118815, 82676082),List(78568754, 45479372),List(16366832, 31743348),List(80723935, 56174545),List(61103004, 62777699),List(79562816, 3381084),List(91221450, 74105734),List(81649768, 23236039),List(63009277, 10528103),List(39205257, 33190320),List(26435170, 14309327),List(64709677, 92994580),List(19847798, 18779596),List(23821277, 15773561),List(37427790, 84957863),List(59801189, 22427583),List(89794819, 17847320),List(27469931, 10743023),List(91653334, 86152300),List(39525229, 34944972),List(23686823, 19208417),List(41960575, 38102859),List(41441789, 25842360),List(32530395, 78899889),List(96969196, 81218435),List(12792576, 94040557),List(28779155, 58234744),List(54884609, 94089081),List(38079692, 73945214),List(65805021, 19706981),List(69588851, 97612216),List(90375706, 12189656),List(78866884, 86060978),List(12844510, 65752917),List(25500242, 67305178),List(84136371, 93321305),List(19057602, 10130800),List(12020402, 59656868),List(90483748, 15874809),List(90811522, 88928556),List(36308451, 7852742),List(86300642, 97386777),List(10198462, 41980109),List(70297708, 23907739),List(27531093, 23868700),List(69401848, 69282373),List(75145924, 82894769),List(73797842, 40193493),List(78362015, 20926394),List(55082361, 45083502),List(64775179, 9802525),List(41885974, 82285908),List(51496416, 80138096),List(62286361, 25917192),List(37671474, 23207526),List(20695846, 15385284),List(61789362, 84885832),List(47899092, 958940),List(60745453, 51793195),List(18478110, 48299670),List(90171540, 19355619),List(80217901, 71346864),List(41320477, 642374),List(37403469, 21058086),List(11009180, 32307204),List(74351256, 46091777),List(9578932, 13982747),List(69860698, 21402749),List(53033098, 24257472),List(61235309, 60112646),List(97680545, 9615751),List(65263401, 72246013),List(93165305, 71720033),List(55618947, 17695232),List(53179208, 27988489),List(19415147, 30855165),List(31528779, 61391826),List(98663765, 56750387),List(55354689, 37727716),List(68678469, 99330711),List(56446753, 10531113),List(72268327, 41085286),List(68789943, 59605272),List(50727876, 75370684),List(49249586, 67344154),List(9655405, 34541950),List(97894283, 24112549),List(86006335, 26642358),List(29494827, 32073338),List(6566117, 65814923),List(51687877, 97881837),List(15464083, 58475716),List(27205990, 39647322),List(60672026, 23164182),List(10928808, 46392685),List(68058369, 85945071),List(18009059, 12943886),List(55208246, 78370737),List(91850641, 58549939),List(66201286, 78179661),List(90312421, 31085044),List(48693824, 49168292),List(30653741, 17109024),List(46690600, 92760339),List(61317955, 44031148),List(67146350, 25938967),List(98753582, 35729837),List(22276732, 71388875),List(45273949, 67731943),List(59145379, 5329821),List(66478073, 83587778),List(44487098, 33699593),List(13338074, 70204199),List(45664064, 31255721),List(97135434, 15783094),List(95649468, 40372816),List(88673402, 67647185),List(16565113, 68089510),List(13279154, 13207304),List(86761095, 67773018),List(8426053, 30073966),List(61834381, 17786544),List(39520265, 6355172),List(66319842, 38739200),List(20678499, 56111835),List(68148691, 50376212),List(16566500, 52582104),List(31044107, 95320855),List(41920299, 63618399),List(91783465, 77206225),List(44859128, 23796948),List(74135516, 72982148),List(87433075, 33714179),List(6574960, 45297465),List(41124877, 95427494),List(85890018, 32208340),List(3355733, 82639485),List(52381541, 86453306),List(77750224, 95047373),List(7239941, 44284314),List(65403450, 81058557),List(91030527, 65703359),List(27245637, 35833606),List(26835635, 50465175),List(69754248, 88429203),List(29898650, 96002615),List(87963276, 71429225),List(85628303, 98335786),List(33958547, 73760388),List(54242582, 99632143),List(40583876, 72094623),List(45994403, 21883667),List(46475437, 53125262),List(35711083, 31030926),List(79030842, 10779006),List(41258986, 48685933),List(84242854, 59668531),List(97267110, 34014609),List(18222173, 84422573),List(66308261, 32074129),List(5580120, 1447199),List(2188281, 36785680),List(99227826, 5191006),List(82110302, 97340133),List(10350347, 29565795),List(88340904, 59158103),List(56666158, 73931702),List(43217782, 61018863),List(72078164, 4886753),List(23355037, 20947778),List(86328265, 70997292),List(32724467, 41342783),List(68712492, 67815107),List(39271895, 48256270),List(50427369, 66611824),List(31530091, 90905268),List(26425456, 73296258),List(43324606, 54844675),List(12113843, 70299510),List(2403507, 80669290),List(67544833, 73857871),List(36309924, 8507896),List(53411387, 40916146),List(80803952, 80618897),List(35251681, 13296290),List(76755784, 9914862),List(31439017, 77256377),List(94425402, 96558148),List(30514270, 30725357),List(79851530, 9328902),List(64036973, 13325179),List(70488825, 7398502),List(34133941, 56457218),List(24069258, 90321452),List(64185913, 6545804),List(77054439, 48058000),List(95313954, 12305558),List(1522182, 65974205),List(40174446, 64257140),List(33309673, 79534673),List(9431570, 23478129),List(62744208, 62203890),List(19179321, 44021786),List(6395714, 19021572),List(97474668, 37225064),List(16292690, 85013868),List(35623603, 6161539),List(75551608, 2114602),List(82200617, 51441708),List(84968092, 67307695),List(86739865, 15183902),List(14170353, 59354600),List(21295633, 47049340),List(87616540, 36889402),List(86512601, 50410834),List(14590945, 18267539),List(97085232, 75383466),List(5905543, 63614242),List(52137103, 29717781),List(63796180, 42287736),List(1152717, 42994159),List(31969436, 77193595),List(53046132, 65332751),List(99368476, 62463493),List(27010142, 41621527),List(42292714, 8754159),List(58865982, 15818229),List(82508839, 93265122),List(54294034, 69250449),List(46032660, 58541878),List(40181357, 97100330),List(77145932, 28477276),List(22465578, 98371157),List(20376553, 36471848),List(70079055, 2168211),List(23006130, 18845386),List(18764755, 80483616),List(78063228, 50124612),List(85566846, 96315619),List(86957609, 31124243),List(53664684, 56803140),List(94564079, 41542934),List(48170917, 63893495),List(26023972, 95423940),List(51205876, 62867677),List(57275337, 56625438),List(39567288, 22312390),List(13115092, 53121537),List(41275907, 69779629),List(99719086, 28576738),List(35068138, 28903397),List(84223379, 65437073),List(98549353, 35298653),List(71243647, 15888976),List(97831251, 9853823),List(90995985, 40553865),List(84792414, 86157246),List(74222627, 12709806),List(74790143, 33525210),List(75822698, 11734483),List(36102274, 7447988),List(16304965, 7186291),List(5455036, 35249035),List(81659195, 21491990),List(91399465, 33975398),List(65779846, 63846366),List(27788384, 80490763),List(88724620, 69720503),List(45042960, 31136890),List(42679622, 7679268),List(6256574, 86839482),List(94504244, 81533197),List(48762476, 3707148),List(74156950, 97379103),List(2129903, 95370147),List(82362444, 51264598),List(17968218, 41544703),List(52758388, 98139216),List(33355104, 26120480),List(22022013, 86824696),List(19944775, 39891054),List(10536780, 99476550),List(50272135, 68362141),List(94582779, 62693285),List(21604845, 8784020),List(6368273, 37414470),List(39846305, 5565597),List(20121053, 60341862),List(42227381, 56512504),List(77066116, 56338587),List(99663306, 44170642),List(60966253, 36740810),List(37612816, 79880297),List(49796668, 96302843),List(75694748, 26050680),List(88674274, 6109213),List(13391871, 27510666),List(59420517, 84974786),List(72368199, 79351398),List(38079669, 96967833),List(46511581, 19298415),List(67843795, 79480475),List(27923948, 81309612),List(72892378, 9460118),List(62264371, 75263670),List(2486048, 32404236),List(68706252, 37641556),List(65435373, 52395601),List(14944038, 79141874),List(59278652, 72543503),List(8921197, 71514573),List(87442743, 5088980),List(74863908, 84090843),List(98269628, 1196472),List(73314994, 78539838),List(39413375, 69801983),List(52144070, 92277757),List(13431549, 65976078),List(93996926, 1690397),List(81074612, 69023147),List(35791696, 27550864),List(21645069, 29590934),List(32902294, 68707466),List(75045485, 14920171),List(87582324, 29042059),List(99230985, 790498),List(48852365, 32849321),List(63371102, 18011000),List(8700064, 82766678),List(2710229, 99382585),List(3267732, 57456784),List(55748857, 58493902),List(91742547, 78065045),List(40978160, 31981671),List(44118, 15277196),List(7773062, 820484),List(71103963, 52163067),List(98192732, 64692951),List(38809097, 84629091),List(54169743, 78739499),List(31211522, 57432202),List(72788500, 21668033),List(6354945, 79560034),List(66221143, 84737730),List(81840678, 11996159),List(29797505, 11838109),List(26104579, 970815),List(82124176, 73803473),List(27178206, 94643701),List(15399266, 10009662),List(46273667, 37499965),List(62825673, 30916880),List(3408734, 74390990),List(82571147, 13008641),List(85005516, 67415903),List(37420715, 34759181),List(55156091, 46122575),List(94169233, 84114595),List(61596868, 79030887),List(94148186, 63160573),List(65288887, 97803475),List(23089963, 12281101),List(92902315, 39725952),List(73176997, 501177),List(38390788, 34219009),List(32609880, 45611940),List(33866929, 47716643),List(19314589, 55346401),List(1832839, 70134220),List(89145670, 77525659),List(97254102, 5455267),List(31508961, 16317765),List(79812375, 66884572),List(21516230, 81720656),List(26423368, 4826930),List(36165767, 71969590),List(61985813, 31241666),List(16317649, 34266965),List(61184196, 51456556),List(76818638, 71749496),List(24749558, 92720576),List(44012473, 5024127),List(8348563, 77364729),List(79323968, 11684125),List(91344936, 30471787),List(90313389, 17985738),List(64660591, 66525630),List(14551239, 6840558),List(98355256, 36686818),List(9784481, 50613222),List(38179816, 91792068),List(93845843, 21342757),List(15389832, 96986958),List(47566190, 64983209),List(63643014, 57903003),List(69117801, 3562321),List(14077961, 85264510),List(40688771, 97872664),List(55741801, 8481566),List(28320758, 22893653),List(96668100, 73466628),List(83527208, 48205399),List(5294501, 91245075),List(56712022, 90485842),List(96798214, 92589573),List(34278403, 17687232),List(39393186, 38140029),List(65334502, 42795423),List(64885526, 2776815),List(36261719, 86072225),List(20881738, 82258356),List(64578747, 85920687),List(97801666, 72667869),List(92028913, 62153855),List(42395926, 28112956),List(40653158, 67944765),List(18383171, 52265775),List(36204607, 39843298),List(33180470, 26231096),List(30276386, 77699277),List(11907086, 73716034),List(70884622, 40975538),List(40952842, 29538325),List(34196341, 70493126),List(98047174, 6551018),List(5655959, 18682666),List(43632394, 49622518),List(34308819, 57256841),List(76312252, 70096468),List(65121954, 70670935),List(83941243, 60532753),List(30941835, 9213563),List(17948744, 7758521),List(95488418, 90289828),List(65844411, 55993161),List(80038563, 1369353),List(34793070, 67013761),List(95850431, 15003650),List(60980581, 37210438),List(56109144, 86165106),List(39233917, 67467968),List(99580903, 9156409),List(31042878, 52575772),List(44690142, 58916465),List(2148919, 21183737),List(69619382, 19576045),List(34297311, 4178917),List(79409459, 11013176),List(24339842, 93615755),List(87621910, 50483656),List(95987215, 44988523),List(10589443, 44535608),List(18618602, 22080492),List(28379397, 99109251),List(22409619, 3538174),List(65098579, 86565180),List(54807943, 32799719),List(59202261, 66262656),List(48950439, 62770164),List(36424363, 7846647),List(14223098, 27244483),List(3853842, 89384771),List(92048810, 35613051),List(99972975, 95939462),List(36410277, 7521136),List(85988903, 71560796),List(50485063, 80994770),List(85343688, 36064742),List(36627550, 10349753),List(11900592, 85047587),List(42416115, 59371272),List(58006524, 58217066),List(77903094, 80785983),List(96751869, 80473634),List(67539900, 41964810),List(964700, 79735251),List(48554609, 28800966),List(70614327, 567332),List(10540674, 19592780),List(82137425, 14935551),List(14459695, 63753358),List(88801100, 93550277),List(50976792, 20468453),List(78524706, 87848007),List(2352165, 11722063),List(46309364, 41585066),List(37551202, 27454603),List(84181316, 94785148),List(18834080, 17463268),List(94393276, 51665885),List(42943850, 57278690),List(28010799, 93892629),List(44547157, 96777949),List(6587354, 53809697),List(26500213, 97201730),List(65086965, 4246107),List(2288253, 96363041),List(57453737, 33293087),List(33658068, 35050683),List(73135030, 86873288),List(6452969, 43620323),List(15008227, 40748988),List(19443165, 31356258),List(46906676, 45496232),List(10137013, 97546954),List(91208416, 90813584),List(54066949, 30188117),List(53412985, 46908726),List(57183301, 37468900),List(40041275, 39468779),List(37411941, 46471739),List(82548488, 30278594),List(27262723, 66428849),List(86424109, 17021702),List(30744487, 92250155),List(77182408, 67492847),List(70095321, 46439104),List(2931176, 95504072),List(64822500, 18300446),List(50282612, 65516902),List(83169794, 42934650),List(44089436, 12624230),List(77210869, 84503819),List(83093139, 26521475),List(10483758, 49280637),List(8302506, 90346681),List(66846360, 14360961),List(75839667, 63030212),List(65561928, 96322073),List(11962192, 77387048),List(42705648, 69081701),List(82185854, 91866395),List(8838970, 48862904),List(99608012, 81676030),List(35652423, 74000864),List(72098152, 22196061),List(90141131, 45800947),List(64396249, 83861121),List(53252087, 25771130),List(75088493, 4791785),List(20409109, 17324888),List(31725969, 9739353),List(74507388, 14310895),List(16957810, 39153610),List(45279460, 79361498),List(54792643, 31089102),List(41830383, 70546060),List(80937886, 54572917),List(97570546, 85959636),List(11607003, 49856429),List(42599857, 79348781),List(4748436, 29564474),List(85845403, 1425195),List(53946274, 47318715),List(11285686, 60280194),List(74779148, 33387008),List(76064154, 43711240),List(32850819, 53838637),List(45926461, 22735054),List(50294773, 90132667),List(57123746, 70807858),List(43964962, 37471375),List(31390329, 2734917),List(984004, 36785430),List(33230375, 10828199),List(90001689, 46142641),List(1802165, 22296209),List(14484331, 23268427),List(3052831, 99712297),List(36255380, 23118667),List(67217128, 22055718),List(2744968, 2624040),List(40565079, 8851491),List(17455883, 77916202),List(51317426, 71889322),List(87902611, 61885144),List(81885470, 79216899),List(92523065, 74137011),List(6637789, 39565287),List(88163878, 33905911),List(90897294, 99905627),List(64878277, 46758528),List(92699165, 85345162),List(62778489, 32548763),List(376714, 27754403),List(85769868, 98128825),List(70921425, 19299350),List(2819118, 8752392),List(10692578, 99531212),List(22809333, 93727364),List(10743514, 25415236),List(86934642, 6343041),List(34109557, 66178892),List(16036640, 22461812),List(64794917, 72111284),List(59653702, 24433045),List(63109620, 6971824),List(97458643, 83654095),List(53716790, 63929896),List(3138071, 64056350),List(56691212, 27646662),List(18756711, 20783754),List(39377559, 99968371),List(12464744, 89961839),List(8912026, 38141905),List(62184317, 39446393),List(67428043, 45586363),List(27866037, 22392941),List(91330452, 5167583),List(22771869, 32609780),List(14467191, 6284289),List(44827873, 83627350),List(73699646, 53234246),List(21606155, 34937912),List(77377693, 49336767),List(68103856, 74797546),List(67812448, 88026123),List(97940157, 82917745),List(61772144, 29070330),List(46099951, 6641447),List(42019336, 41980250),List(65932288, 78089200),List(68058491, 58831760),List(25722759, 56459199),List(20067290, 39134525),List(69985621, 69464347),List(8923280, 75830405),List(3540066, 649973),List(3180131, 84331629),List(39177289, 96104431),List(25736679, 25903945),List(45404511, 37538839),List(13216758, 94858739),List(62742402, 51401837),List(19597686, 72115437),List(5885945, 3702401),List(89558335, 33839398),List(51097237, 4665156),List(10366979, 39769992),List(99385222, 76018011),List(20544277, 67580896),List(989195, 89464082),List(29086741, 87224415),List(97274354, 91849594),List(42175755, 21315556),List(3475733, 96097313),List(36606394, 25347327),List(33227434, 37779606),List(66568677, 12674577),List(14271600, 22852982),List(78004273, 25890346),List(28646311, 91112462),List(9662729, 80095575),List(8675712, 57335763),List(13009703, 75394340),List(98925470, 23719004),List(71935242, 11920060),List(71698524, 80540923),List(71255871, 80380992),List(47043698, 27596326),List(94684493, 24790451),List(729571, 19120694),List(13928106, 1453787),List(48641756, 59679415),List(51666820, 56116376),List(25697392, 67582993),List(57553149, 84667883),List(66164660, 51594839),List(77612133, 83751426),List(47804073, 60423949),List(48538742, 12026765),List(63162470, 13942808),List(23457691, 12979020),List(90419201, 88468945),List(3265217, 61226767),List(40473600, 99265616),List(10806480, 52947221),List(70238674, 66215649),List(2587358, 63910101),List(34766581, 56683430),List(86444805, 83109285),List(22753450, 371360),List(94056742, 73186960),List(66832770, 80330532),List(88782547, 95158253),List(40881656, 85784867),List(20874119, 69731781),List(38553680, 27218278),List(82758850, 45697443),List(25059476, 94820934),List(72399820, 21404596),List(81226172, 686165),List(99016696, 99351417),List(74829318, 72162616),List(10044104, 67744631),List(19266737, 2539019),List(59441570, 1785774),List(92528737, 85474561),List(11539230, 64929424),List(62477147, 31183712),List(2420358, 75690575),List(2234706, 79212091),List(70313477, 13882289),List(11752007, 51688897),List(30037940, 72388613),List(95050724, 16885108),List(25484442, 93514146),List(70906362, 72016821),List(47110118, 16839556),List(78173163, 36385154),List(74679136, 1828660),List(60995108, 76442806),List(76539156, 62442700),List(87336548, 79228315),List(56258782, 86046619),List(1030050, 98444309),List(51015335, 94935727),List(55709535, 69963711),List(96818881, 84506991),List(30051576, 96354338),List(28919321, 55999233),List(26892072, 46235241),List(88895051, 35220777),List(36436221, 37056666),List(83071851, 78678419),List(35645633, 67934491),List(11857608, 64587848),List(39715369, 59057327),List(46876973, 36952525),List(94512621, 37047449),List(93406984, 4468409),List(65413735, 74921402),List(34095823, 446277),List(6846089, 20888854),List(58216691, 50054488),List(9520392, 10954038),List(67731402, 12322628),List(47186706, 41906355),List(79137509, 70616716),List(87996854, 87287013),List(72063604, 7249533),List(74131678, 97711935),List(43534260, 29282302),List(3247647, 89241695),List(83847793, 35351009),List(6986515, 2108306),List(3211889, 1641429),List(76118532, 8574823),List(98525132, 17847053),List(76014061, 48906646),List(53325575, 15753917),List(55581573, 27025733),List(82222047, 64723125),List(67577887, 27180399),List(21376645, 7280923),List(80412832, 32459315),List(3714747, 66535482),List(9804556, 63060654),List(16114597, 20858658),List(96114746, 36153334),List(53833446, 50827550),List(23745974, 9258359),List(861846, 97484654),List(72158941, 38376363),List(15008572, 92453830),List(95381474, 32793651),List(13278754, 84412680),List(89133468, 34011564),List(79137955, 91499579),List(27183183, 44280396),List(26650964, 10874390),List(24372675, 33040659),List(31709219, 12287082),List(37340222, 14988581),List(69996464, 73095982),List(47064325, 66209576),List(57267551, 54167608),List(85534659, 19372937),List(73849564, 95093983),List(92942374, 32669906),List(51032524, 94632542),List(90693833, 10713761),List(29230625, 63644377),List(29769276, 52582681),List(13437363, 56654557),List(31662205, 83771395),List(27977406, 43487089),List(52797772, 54231762),List(99494397, 5166917),List(8113513, 10795039),List(41193915, 3234121),List(784623, 4301916),List(34584918, 98894415),List(19945427, 97931819),List(95128313, 95594672),List(3041860, 90818178),List(34940161, 64547233),List(57161796, 13370769),List(89827386, 25647227),List(27281836, 11900212),List(565327, 86914097),List(29067560, 5306740),List(15356629, 70352277),List(29877167, 49670656),List(58877822, 80828591),List(38675860, 49136213),List(40606180, 61589420),List(49310951, 33494079),List(59146215, 8950570),List(2810355, 57743402),List(62184211, 24841936),List(89084158, 93510616),List(71746602, 5777307),List(76652147, 80980844),List(73560604, 76485476),List(9440830, 30099986),List(15488522, 94641752),List(48339208, 33510484),List(26500226, 88830828),List(22662714, 77109493),List(88198656, 41740064),List(79894131, 84161158),List(25052393, 91014815),List(80811963, 39592667),List(29724672, 18652869),List(48296650, 38228073),List(74256728, 95048952),List(21978318, 74442081),List(46801879, 51911207),List(2934836, 9042221),List(48314627, 55487955),List(14732149, 57926886),List(70713264, 82848664),List(76022426, 53592657),List(49365170, 7830679),List(17422867, 52550986),List(38257778, 94084451),List(4501513, 71104210),List(71388307, 67611223),List(82624782, 4580646),List(82054935, 86356884),List(23975020, 51373946),List(72302703, 31876311),List(10212402, 71539699),List(75812015, 12110831),List(46560914, 28863565),List(48630548, 80982980),List(4055667, 48635045),List(95644856, 19369464),List(5645777, 71713104),List(75269149, 18938692),List(48907376, 28362938),List(49798240, 78494377),List(19525973, 20647423),List(7281376, 13889448),List(87012254, 46975839),List(89835616, 18151369),List(25031444, 29595863),List(62866207, 98279451),List(36201403, 72476093),List(27495398, 92505947),List(23427885, 2172744),List(88088234, 64149188),List(13507375, 65665954),List(43145085, 19813507),List(6207205, 2671437),List(73159963, 27885262),List(84105793, 79173472),List(45005847, 39146448),List(40193069, 39607503),List(25740489, 93351368),List(6167009, 47532039),List(4304158, 20905307),List(62411017, 35335094),List(67012395, 27629666),List(88875894, 25681430),List(65186676, 81130147),List(21018696, 77621064),List(58303261, 16024065),List(79595623, 4933673),List(65429676, 23730684),List(93985943, 37562509),List(21393350, 43711606),List(595571, 91029695),List(54783610, 56107772),List(44957996, 93269878),List(34376592, 52187633),List(80787236, 602076),List(25596653, 27305612),List(83900659, 34859508),List(98994780, 87366387),List(36137600, 34728608),List(30137924, 85047689),List(60782617, 86203742),List(90695690, 38481201),List(15714437, 7192145),List(62972438, 29301651),List(89058454, 89413899),List(38931786, 42720799),List(62033127, 45300284),List(98028092, 35895045),List(78236812, 78109778),List(87674110, 86356425),List(72644367, 47864140),List(14458167, 23769645),List(3706066, 7196106),List(95707170, 98444240),List(66913558, 5053627),List(1321218, 33831621),List(18370595, 16171750),List(11159911, 11973227),List(41989123, 5159333),List(71771904, 98631622),List(10193222, 98842942),List(65942582, 20024281),List(7835640, 32551614),List(51085866, 62639582),List(29741941, 6330361),List(67413393, 89509758),List(24772678, 57012494),List(39399197, 14690122),List(26700647, 42301878),List(80919548, 47159740),List(398504, 83155302),List(4045461, 94962905),List(86628222, 68562582),List(1911783, 42800117),List(69748113, 91793623),List(93069686, 34228367),List(67542784, 47211507),List(76284704, 14545709),List(72530887, 27067148),List(87686739, 43945334),List(74722181, 91442143),List(41976689, 30862536),List(85896413, 85046709),List(61805514, 71801386),List(40944186, 44301928),List(89525508, 59330427),List(22918119, 26099702),List(18082688, 29942931),List(65657702, 53274795),List(40850531, 98082255),List(27820689, 90494508),List(75866295, 37682400),List(62419841, 22543335),List(90669356, 70069552),List(8189563, 80777097),List(23104031, 20709597),List(44130551, 12668409),List(18286056, 11301967),List(56444019, 53989773),List(62697299, 13642384),List(1502135, 42742870),List(26540679, 11808867),List(96917764, 84220128),List(61592774, 36550488),List(29858388, 74484990),List(3919265, 62560232),List(42767911, 81611435),List(11896967, 60774688),List(38075077, 90975541),List(5394682, 7557763),List(21641473, 25584491),List(33775541, 31842260),List(55633554, 58791365),List(72914141, 9326173),List(94776830, 971220),List(84497492, 88098596),List(97945906, 93387746),List(34575735, 91902994),List(12748230, 98697521),List(80100652, 97860881),List(67196623, 6443046),List(20640670, 88395787),List(23773965, 96159371),List(29710159, 69056253),List(86630680, 76397766),List(97673280, 94432979),List(56092507, 82313840),List(60738238, 24185008),List(34091129, 60431048),List(60387388, 56146506),List(71008239, 53538467),List(90529542, 48593312),List(87843602, 74091253),List(32115811, 3538431),List(21357323, 51462605),List(19464846, 48085463),List(60240476, 62274675),List(4462435, 38702848),List(24719328, 42043560),List(22090061, 40671554),List(16146005, 64260995),List(31092162, 66125078),List(27714209, 75004020),List(21509968, 56357041),List(57150298, 18011944),List(15241593, 69928374),List(76236703, 64880485),List(55747077, 63279962),List(5975934, 44354741),List(32439989, 83547273),List(51375272, 42394765),List(97297629, 14434248),List(52208227, 40460808),List(64251946, 32776845),List(27363262, 28285205),List(70757725, 39036881),List(33897558, 69150519),List(52944102, 55488241),List(56960260, 1254453),List(81799910, 85270044),List(91495803, 10984229),List(92161953, 85747156),List(20378262, 14077798),List(37511604, 6786850),List(85379518, 34077435),List(58534766, 76674894),List(72347550, 93546090),List(67212006, 14301262),List(84473596, 57746125),List(9582550, 26679464),List(19210137, 76123335),List(94553253, 78701223),List(15311286, 30283646),List(999587, 54410367),List(36689147, 48361409),List(48273078, 49723883),List(42710988, 31809093),List(92572843, 33095101),List(96096548, 33631744),List(16701945, 7318009),List(58379559, 40956622),List(69868606, 71399122),List(58121712, 77038394),List(77878320, 51772703),List(78398751, 61013985),List(3954331, 10606954),List(85284443, 22439092),List(26005773, 77470004),List(92585315, 10716997),List(67144571, 90281175),List(15671009, 83484709),List(40468878, 40172031),List(46676151, 15404143),List(58686989, 50611182),List(9451941, 7318369),List(30420431, 8829027),List(49800256, 23592060),List(47038978, 57616472),List(95540060, 19969723),List(67678583, 60054516),List(13122681, 36765085),List(3008690, 84430251),List(35744538, 42034147),List(77953524, 76613146),List(36032716, 55641794),List(15238010, 90776347),List(26685124, 1137834),List(17127382, 33541066),List(63652583, 77714529),List(7286908, 43961461),List(2562672, 54651828),List(69097939, 97507602),List(10356080, 82759559),List(7971747, 63850527),List(11818898, 88458248),List(75052837, 77103543),List(79812886, 58406351),List(88665536, 57853413),List(33636125, 6550638),List(66558848, 20929586),List(90622934, 55071359),List(54796824, 49631087),List(78882391, 37092345),List(14287378, 5712738),List(91797578, 75106265),List(61300378, 38024463),List(82850292, 82680813),List(27902538, 37911697),List(47303864, 63870986),List(54376306, 95698629),List(29638337, 51247646),List(40526337, 18500222),List(62435825, 13360085),List(3657623, 21436159),List(64370922, 1401639),List(11821358, 71033151),List(39099841, 48322699),List(49688575, 56584726),List(82786843, 46617111),List(24262534, 12883101),List(10674548, 30993356),List(55273497, 30139355),List(41729950, 29874692),List(19177029, 35107188),List(37200804, 45889109),List(61689868, 27991585),List(47139572, 49453570),List(44035811, 48118321),List(32521559, 3772995),List(93015105, 87263015),List(93957594, 24563291),List(54641084, 11026568),List(26204118, 41220712),List(64360637, 68830229),List(24528660, 11041315),List(60464160, 33297157),List(91663822, 71666117),List(16781570, 90481242),List(60683717, 57422785),List(53808043, 13723819),List(57945733, 75151727),List(31391972, 86612466),List(51572322, 46630276),List(98682876, 45054485),List(71597686, 68167255),List(3582515, 6406932),List(83000694, 9785327),List(6131579, 82023221),List(44915485, 60072746),List(63336866, 6253479),List(89382131, 34505013),List(67365462, 46536631),List(63765637, 20370631),List(17752104, 34025845),List(38537521, 6021233),List(135729, 18749575),List(47422296, 79439213),List(54517469, 57936433),List(78423863, 63649350),List(22366338, 58864194),List(72136456, 2579129),List(71260053, 51877119),List(4138649, 28111215),List(48468789, 98558626),List(46386787, 80938819),List(54290636, 11757977),List(78196668, 60127296),List(57574248, 98902863),List(2169770, 79109415),List(34566750, 10786651),List(55583429, 48683807),List(1769181, 62813157),List(79887692, 26221063),List(99312320, 16249836),List(24415119, 56241326),List(90363814, 50994752),List(38905395, 8495677),List(53463, 18613431),List(59817792, 32084721),List(80815940, 24603206),List(24136661, 46844096),List(18826828, 98934990),List(54584993, 34584010),List(3064252, 35060496),List(80817178, 4926931),List(61079342, 26220491),List(52822614, 35117435),List(11813322, 29334423),List(41509488, 93892734),List(8536792, 29282194),List(32338900, 22475631),List(15061748, 48118475),List(28103675, 90218399),List(46914032, 92528946),List(57895460, 4648018),List(33131430, 72850057),List(67103285, 40075226),List(53915459, 37108861),List(71414334, 15447268),List(45411279, 84584713),List(82480024, 36459908),List(49360624, 18871347),List(3838894, 60319450),List(73456151, 10204529),List(40139357, 30736971),List(62840767, 64984572),List(30493318, 75202415),List(3706084, 93192218),List(14354882, 21595298),List(56279408, 80787765),List(5891654, 39398283),List(54039726, 36843534),List(40441805, 99299656),List(36086700, 73658986),List(22213639, 88793278),List(47595974, 19958281),List(51195099, 37194333),List(2830379, 11824802),List(33732370, 83416357),List(366838, 55682116),List(55878152, 80244634),List(75319308, 87395179),List(25578668, 71586800),List(65222383, 90203693),List(70169660, 61213642),List(98585542, 36216442),List(63284700, 32784035),List(50234248, 97953173),List(30027922, 17944094),List(39547025, 43983539),List(12309179, 26064534),List(30215825, 21666057),List(44855855, 65450514),List(32116148, 59930201),List(27593120, 21884062),List(36756145, 56125511),List(70273390, 89597102),List(3735685, 66762103),List(55925831, 70073528),List(36396704, 13734181),List(64379860, 73128955),List(19290842, 14289865),List(75332716, 99051272),List(28869708, 76598072),List(63308880, 23124508),List(1596557, 88599748),List(71204695, 65908036),List(2595463, 22097973),List(60337191, 90291238),List(15966321, 31062437),List(64664170, 72149052),List(10606561, 81619614),List(50619318, 68452459),List(58451807, 74329800),List(31799937, 38408432),List(71238286, 11156339),List(61779955, 97018435),List(17678000, 96391432),List(53465383, 45238986),List(49967598, 73085583),List(77649830, 603885),List(97636968, 83532614),List(44602255, 53399931),List(87397876, 24331313),List(6294749, 7869379),List(47719965, 33492424),List(6129806, 83636993),List(84914271, 15066975),List(25807400, 42265),List(11116169, 11314268),List(63659326, 22494895),List(42723113, 824965),List(16149708, 43243329),List(11059455, 89144093),List(18675134, 37682634),List(86386409, 13531806),List(63961658, 81352422),List(27306499, 30625368),List(64315161, 23092883),List(31273151, 12233336),List(67048866, 9500873),List(17182177, 10479117),List(57337977, 83134825),List(73438109, 23991399),List(85148772, 28670225),List(73507976, 41142857),List(39664342, 43521650),List(91034379, 39302150),List(66780319, 4524257),List(32985372, 99385456),List(44022994, 52148967),List(97471824, 96520102),List(72637801, 47959745),List(15022149, 83587955),List(49285388, 85898828),List(35628378, 51213956),List(3192691, 36961740),List(81505795, 66287935),List(79298198, 71343894),List(61387882, 9669818),List(55148550, 85227578),List(6803349, 4194315),List(19217368, 1173999),List(41266143, 92734656),List(88143363, 29087756),List(99842627, 90358590),List(72196117, 61156028),List(8199591, 4190687),List(97388514, 81046025),List(56245810, 79559140),List(72735622, 43117219),List(94825647, 2346989),List(75998810, 49958890),List(63042030, 39137915),List(10062015, 90756877),List(69839144, 87204990),List(90515198, 4693844),List(45757425, 27325643),List(52126575, 47841456),List(53533366, 83369272),List(76081493, 20291738),List(64685759, 42218151),List(12186793, 44774577),List(46066990, 24884940),List(2154873, 77420068),List(62257385, 39677124),List(48904051, 58234324),List(48735194, 10565909),List(57475728, 26894560),List(38067542, 46124896),List(66438349, 1854209),List(22401235, 73282796),List(79392905, 66735470),List(33939433, 2412952),List(26456933, 60126706),List(10832997, 55806497),List(13531485, 15127807),List(70909444, 95088585),List(82065258, 37946154),List(23004615, 56019554),List(14144169, 50285589),List(11104745, 46901323),List(75542423, 31842097),List(20264113, 56781565),List(5498666, 94177986),List(41087116, 65021473),List(48984977, 22629545),List(53108819, 67935125),List(76160114, 99966454),List(22999062, 89563107),List(53125615, 87697221),List(82197883, 47626077),List(82970545, 22176374),List(77373442, 83377895),List(37844492, 40419809),List(51050751, 40976563),List(90361376, 13837747),List(18519017, 18006930),List(86238349, 77241074),List(36084346, 3145561),List(28251307, 36227656),List(52517253, 20149246),List(52386740, 17246053),List(13299019, 14769681),List(41150284, 99689136),List(78057000, 30655527),List(83937009, 56895237),List(97578662, 81355230),List(3727270, 60546234),List(49116196, 78023518),List(66927919, 93212215),List(96273196, 34678608),List(72198431, 15988461),List(27685473, 59765128),List(77474335, 74308793),List(66161052, 68682579),List(54592323, 89941624),List(35118071, 8132597),List(60925029, 70470075),List(5476340, 71359167),List(86757141, 22894247),List(41846470, 91485775),List(47268957, 11967300),List(56679729, 86766643),List(13689901, 2578417),List(41413753, 66445321),List(84947225, 76659815),List(57546944, 83965180),List(23948196, 22720822),List(92996702, 94696124),List(23948353, 15967792),List(82670645, 53258205),List(93702370, 80503659),List(54633670, 95670308),List(11788500, 67022339),List(93548335, 10550907),List(65839731, 46391961),List(86045756, 13511099),List(35164049, 64507614),List(7147768, 90364002),List(5080020, 32514891),List(67475286, 60589791),List(13450629, 17894819),List(54168989, 68062548),List(18592286, 93454094),List(32702987, 73412998),List(38394196, 94451046),List(59269405, 15537451),List(62622506, 50056189),List(43900757, 27958824),List(50259161, 31467694),List(4819514, 36653135),List(55084506, 86951746),List(79306318, 69635664),List(18799703, 30821545),List(38702989, 34597664),List(22294562, 6157539),List(94358604, 35080838),List(37978570, 87818909),List(26671557, 99725120),List(9805578, 53957265),List(34929918, 66703237),List(15519663, 87389283),List(93896358, 74676076),List(70792941, 75039180),List(86785140, 62918173),List(50592975, 81310775),List(66118241, 19545813),List(81852316, 52447311),List(68206083, 66854885),List(40455958, 38208685),List(84081748, 84322057),List(20395566, 79010558),List(11830822, 85302262),List(95351819, 29654181),List(61313257, 52648844),List(60926413, 55189453),List(15221312, 43795952),List(60529778, 89290004),List(27584380, 67717126),List(14769093, 87201910),List(58689468, 82323930),List(63330178, 35636969),List(68301430, 92536211),List(39663816, 65615756),List(76825822, 67040673),List(74364173, 75532816),List(86966391, 52798067),List(12994768, 84629425),List(74764344, 85243062),List(72225227, 1972862),List(86074287, 10332035),List(73606557, 17230594),List(73306561, 49937200),List(44081616, 28916507),List(39919537, 13706101),List(89192927, 17803341),List(18324607, 14370061),List(900466, 36367147),List(23612103, 92425218),List(21193320, 41903859),List(63859214, 49030880),List(23981461, 88698955),List(99300299, 94852950),List(82508254, 48066575),List(63523109, 33328017),List(89022641, 40274299),List(87912291, 4268839),List(34884074, 25858637),List(79026591, 8888806),List(10793998, 79487494),List(81410210, 28852772),List(77450762, 79558943),List(64561766, 10303944),List(709201, 9812870),List(42266408, 23669797),List(40076354, 60013142),List(1704512, 50126496),List(35345681, 14480198),List(76499966, 32141479),List(72651400, 72476433),List(73821210, 85288522),List(63184860, 8445326),List(86926232, 66705688),List(62899384, 27049378),List(77843070, 59269477),List(43662378, 39243081),List(42195868, 68371522),List(34247512, 55082535),List(76409600, 78543772),List(77760495, 96223497),List(54415172, 37251445),List(86345310, 348241),List(89886193, 3187321),List(86303807, 51971780),List(46405097, 4645014),List(44436724, 87669421),List(44650470, 2447870),List(37862459, 48864779),List(25600260, 14797448),List(54764595, 57050045),List(76285842, 44911112),List(23629174, 86529728),List(91095404, 61940542),List(9402237, 42822505),List(3146510, 8865960),List(94218106, 79443255),List(67611420, 36519914),List(82033221, 34801305),List(22290589, 4628420),List(20002971, 48757013),List(43034399, 55072247),List(77874387, 68349713),List(69408495, 76216788),List(52942965, 68895865),List(33813294, 65840670),List(53140244, 99762870),List(95666346, 32102570),List(53666966, 35747113),List(24787511, 18366673),List(25039550, 93436929),List(97625702, 62069211),List(24165658, 38628402),List(55376099, 51954998),List(10664826, 4928717),List(12287379, 81111177),List(79525918, 89253251),List(93595946, 6621652),List(11803996, 75030974),List(6062093, 57543814),List(35493903, 55279967),List(75509664, 34143064),List(96096034, 7367637),List(73590134, 45465432),List(61608601, 14958533),List(13069969, 38534354),List(80045226, 12866033),List(92703294, 12499037),List(51583976, 70276114),List(8178268, 50981198),List(51755983, 55323744),List(53051487, 37923363),List(78911015, 63566524),List(37061574, 96073107),List(89710511, 64446905),List(39101676, 51089862),List(71472141, 95899843),List(8412104, 84586726),List(39996845, 74472850),List(17068559, 37292728),List(59787492, 27845003),List(80567262, 68937584),List(14171890, 29614983),List(19133086, 18090604),List(8103679, 41454412),List(47273134, 35743270),List(16075138, 91999505),List(45529584, 96457034),List(69664148, 28101378),List(23344903, 66369571),List(68160412, 23180184),List(36876349, 75718713),List(9801487, 36631482),List(96875051, 12536901),List(61666480, 53868229),List(30146051, 68909661),List(81377464, 65101882),List(95391966, 43630706),List(14157320, 40506906),List(7655418, 36280738),List(12527369, 2053523),List(32133806, 27256906),List(34847735, 59678168),List(39947529, 51076725),List(54146017, 7664558),List(5558523, 77282409),List(54560061, 70067613),List(33869333, 4667136),List(23347893, 2899694),List(35358612, 19450384),List(57930406, 49097295),List(71743482, 76552765),List(29587908, 32501248),List(92006810, 10373754),List(65288595, 51980918),List(86311579, 8009922),List(74753, 7042724),List(20942327, 43354557),List(43488102, 24768235),List(73023904, 22123960),List(43160309, 42317660),List(60327609, 94068438),List(70137772, 80872742),List(18231409, 49508840),List(90101959, 41780025),List(17369590, 23337478),List(22289990, 56236944),List(96448538, 29101164),List(82864292, 65425644),List(58837827, 58106971),List(77226910, 48947004),List(72463969, 34740261),List(48473662, 81025950),List(92825382, 48859254),List(62765613, 83711720),List(3140939, 98292481),List(10198718, 94472509),List(72501303, 29029614),List(99632816, 57596478),List(53189061, 49574828),List(43261355, 42797819),List(6720681, 77672753),List(3613569, 94850592),List(34028745, 50360415),List(98830407, 41803571),List(1324898, 23437784),List(6466295, 58719690),List(36637341, 71462589),List(49753196, 83732543),List(54757438, 68555371),List(65661836, 85713055),List(55746112, 7961147),List(21071992, 53080701),List(16961777, 76732415),List(31943007, 99327348),List(68627314, 96519151),List(26065955, 86435795),List(96663587, 84556160),List(30849060, 22741411),List(19250463, 8142691),List(36268089, 23485467),List(45567864, 59985939),List(95670035, 37421665),List(35235828, 74986753),List(13659676, 96199133),List(75535499, 98763480),List(49218495, 90973102),List(4604461, 22943039),List(64668277, 6500440),List(87103074, 76686278),List(33654316, 9210991),List(57092432, 5686621),List(47751401, 58889040),List(88870371, 12291247),List(48216081, 95559691),List(397099, 86938589),List(39007098, 95396350),List(98857603, 45207361),List(46895973, 97998700),List(12414855, 12092966),List(39570306, 10196510),List(56305564, 33964365),List(57251768, 72008),List(68455394, 46061428),List(21046141, 38783018),List(65581802, 46147319),List(25453257, 23383989),List(74620782, 28909919),List(19809757, 19406316),List(68953938, 91668234),List(21857160, 50763638),List(81973625, 1735301),List(89009455, 65284566),List(44903854, 19332584),List(11172592, 24240199),List(73405953, 185082),List(58104585, 79138542),List(29820929, 16875920),List(18447360, 80560818),List(28648522, 90539995),List(11258637, 3774320),List(71521895, 51332261),List(76519790, 23843208),List(58741474, 2650191),List(60303781, 90870255),List(82934085, 56319666),List(18779111, 93994083),List(92932784, 8957543),List(53518565, 58313000),List(19626266, 29254889),List(4814090, 85545690),List(13215957, 17761310),List(72390717, 80078945),List(94389452, 33066342),List(84575751, 78686679),List(23587365, 96832161),List(29283327, 52392785),List(25409597, 62268870),List(72045449, 77133406),List(21767572, 78918045),List(69351493, 29288355),List(46696680, 48685795),List(82330639, 86587763),List(1837297, 87786547),List(6452389, 91629734),List(6179665, 16412555),List(595323, 18107579),List(61324752, 64020361),List(92425879, 31451068),List(29758081, 52883198),List(85308907, 52983052),List(88636500, 44932662),List(85037305, 77023417),List(39943828, 62396093),List(61465770, 53602029),List(37062275, 28003335),List(53607492, 44192248),List(46100711, 83906890),List(84728118, 6670995),List(13026913, 9264562),List(3704102, 18617366),List(80248606, 55127181),List(37425351, 94765524),List(21740554, 66002594),List(51903367, 66854441),List(27282593, 17413172),List(50992107, 33482572),List(17776672, 6207482),List(40506380, 39880280),List(97624806, 80651939),List(94785297, 290106),List(31520538, 29995936),List(54546912, 90216647),List(57363338, 19386545),List(83669555, 72312019),List(44940610, 67857998),List(54670829, 92473829),List(25625593, 23833056),List(34785960, 67991036),List(83383815, 28841723),List(67143812, 13363227),List(50271270, 13686251),List(92579291, 69102553),List(41134036, 13751803),List(77617064, 23085331),List(55899556, 76311194),List(53529594, 97302200),List(19307153, 52955887),List(75803800, 10591405),List(52594411, 52416219),List(17079309, 23331909),List(14019615, 74670301),List(9126693, 76690628),List(26295650, 43745908),List(76833027, 72607128),List(65000828, 112584),List(89086897, 79304294),List(57987062, 13840008),List(88423534, 78149879),List(53111415, 83210223),List(37672850, 64429660),List(49785285, 97836792),List(64322460, 86928327),List(45846447, 57214483),List(66045360, 92551505),List(99261406, 55825631),List(60510212, 48658474),List(97854654, 65118590),List(63815043, 37819686),List(83711527, 33620528),List(72458347, 68644361),List(34827699, 97567510),List(50378880, 46587319),List(7287099, 1549422),List(84394839, 92458018),List(49914740, 35833212),List(50819770, 64090359),List(22842931, 2118227),List(36010844, 12385902),List(80181397, 88051091),List(94613528, 85434414),List(54828056, 23588631),List(59690654, 82876058),List(26139932, 4478357),List(12563116, 54952542),List(9263747, 36803185),List(43681614, 69158045),List(2641330, 97866904),List(55007003, 6037050),List(27260497, 8104282),List(89386988, 38116580),List(83625972, 37843974),List(77567522, 41329283),List(32355851, 38421003),List(35034482, 58904772),List(53479527, 31340158),List(70024888, 14797986),List(76997093, 56525295),List(26625634, 79365591),List(96527213, 68534232),List(13519313, 73377271),List(42215108, 47556913),List(94995457, 45316820),List(19387904, 8498568),List(7763847, 4110244),List(95511709, 82941781),List(3186583, 21182033),List(9094211, 18840836),List(92569326, 48414137),List(17662060, 93037166),List(71178970, 46233277),List(36413138, 29591138),List(16042956, 32119844),List(72942846, 97381910),List(62278181, 63370630),List(94290537, 1760202),List(63819634, 31697578),List(13761933, 46344891),List(65732733, 82136779),List(46204476, 94890432),List(79749239, 98164147),List(83474196, 74261295),List(66699414, 75211049),List(2836627, 21282519),List(62791222, 58455561),List(86527473, 40888119),List(92051140, 53448182),List(27260147, 59142939),List(88282342, 80726330),List(29467109, 29264862),List(78167864, 97071936),List(35708140, 7300226),List(19947868, 41296690),List(3531466, 41150996),List(63012953, 41789348),List(28263038, 90837145),List(75192632, 10936733),List(32121603, 36571658),List(66979349, 26130462),List(89664171, 91357707),List(71917139, 23095729),List(77388248, 53494240),List(29717082, 94468308),List(91562834, 85591353),List(32159252, 65524192),List(61256181, 86764782),List(50269289, 46207077),List(63752736, 72319483),List(6609765, 37507549),List(67039084, 40220947),List(9546901, 45890503),List(6337447, 246542),List(53698066, 91957031),List(92761272, 23004981),List(85311215, 22723524),List(67288984, 41885882),List(5522468, 80343981),List(50500428, 25600626),List(68204846, 9182399),List(93889147, 62066332),List(41227620, 96105411),List(65816830, 865488),List(65245477, 69350916),List(34104519, 26994988),List(82563993, 82832235),List(1914958, 63207710),List(4561929, 27374083),List(43963402, 64121626),List(59627927, 26144795),List(94990179, 725320),List(3806845, 60928652),List(48317801, 48359420),List(83072138, 90574836),List(40713066, 78633879),List(79524712, 73915110),List(37139825, 12635460),List(35237905, 10400734),List(68453936, 37141345),List(12987890, 22587540),List(75390962, 99480134),List(27649853, 56514862),List(34968129, 72249833),List(376554, 18931898),List(18095706, 44206674),List(94058378, 98904592),List(5032327, 38664301),List(17683930, 11536649),List(62920433, 47084667),List(98021394, 29615371),List(82848602, 18781002),List(58718522, 53517835),List(34027643, 7856629),List(55184248, 1545819),List(8692353, 32876519),List(35883999, 14259834),List(74098110, 57372234),List(76050545, 57705711),List(75950829, 12479240),List(13761699, 7676149),List(35768638, 35706170),List(11105912, 73510788),List(68946082, 36648356),List(6718351, 58671614),List(8283558, 20189188),List(23718663, 28909109),List(13653659, 43300238),List(51300995, 56652848),List(54611042, 65877427),List(52448416, 2834789),List(22882450, 4222459),List(32314217, 36912448),List(42810264, 55258009),List(5071889, 52722917),List(30559148, 93518292),List(56836920, 99477687),List(93659185, 6885119),List(66150485, 43443921),List(55912161, 26791414),List(26703646, 12440705),List(57399528, 8471222),List(185488, 30928895),List(84578562, 2364192),List(78691632, 64571355),List(21879980, 46387214),List(64146177, 75317061),List(46011098, 2317929),List(43877846, 5479626),List(96003079, 67033906),List(7137599, 37695957),List(17589084, 74196606),List(38116318, 11648495),List(99133890, 19445402),List(49127659, 64307842),List(82990527, 32634570),List(3659052, 64553604),List(15421844, 77778079),List(35816456, 77584149),List(99203181, 10219749),List(94766464, 3111288),List(88563096, 28859810),List(84321147, 61927684),List(96388177, 13020451),List(78847034, 43333101),List(12973393, 27455538),List(35560511, 11427044),List(19715015, 32592040),List(10271095, 11951396),List(49732136, 53651077),List(68021210, 44300122),List(40294960, 16464887),List(45174064, 58923767),List(18100745, 28138351),List(65016936, 71834502),List(27845397, 9556853),List(94564245, 20789935),List(47652130, 34409328),List(84547527, 17891117),List(59914507, 46150567),List(1791518, 24770132),List(10609138, 57998864),List(58057662, 84859536),List(37024825, 73136561),List(97524226, 1038090),List(31149399, 52297777),List(99235983, 91656833),List(80504462, 59728126),List(73122679, 89924328),List(73910899, 22026021),List(88139736, 38763125),List(47402505, 67568737),List(24779682, 86841824),List(88260414, 2846060),List(47474768, 74715006),List(67425174, 37593106),List(12278699, 49610853),List(25398376, 78630350),List(34007856, 63745676),List(56849267, 79447866),List(19203352, 73259076),List(3428241, 26350990),List(33681768, 83178084),List(61388700, 26120852),List(71617005, 91584111),List(30773652, 83786140),List(14283148, 38753427),List(19242521, 89530624),List(79644117, 38366612),List(71079366, 24319957),List(82114874, 91956907),List(78110926, 3476297),List(43215464, 41218523),List(80911753, 67504658),List(13157007, 5442626),List(51892376, 33714420),List(87106310, 64076341),List(15901123, 26034660),List(94695003, 90439325),List(22957350, 34522049),List(8507829, 33986744),List(10537571, 73678935),List(93447115, 86710147),List(65455195, 83374418),List(18425122, 901188),List(33740489, 66358848),List(87117993, 32850425),List(40107463, 11326395),List(1690907, 27978337),List(87338754, 87746398),List(31611406, 15239003),List(84962674, 88421724),List(15538960, 62092630),List(43413360, 53505217),List(73643330, 93254406),List(32641857, 43556016),List(33227175, 93649303),List(85947354, 57409442),List(9825329, 23850140),List(94135439, 20462555),List(70153683, 39155079),List(22959480, 21649505),List(7928550, 53520916),List(32163500, 86284905),List(50091823, 70217448),List(32700377, 5550738),List(82536437, 81192720),List(38909304, 46857211),List(67877246, 85535096),List(19814855, 34408175),List(7378925, 28068090),List(74173486, 56264000),List(43022945, 82499312),List(7676593, 80816573),List(10197666, 42009516),List(5804241, 70775133),List(79323940, 66474784),List(6057620, 31091446),List(15746371, 60550850),List(71982871, 36814044),List(70852690, 69564060),List(21859, 94541750),List(42391692, 38905899),List(91556407, 23440845),List(23347391, 93248189),List(74146641, 1275365),List(94028003, 81243370),List(8212694, 72009220),List(61702092, 75666750),List(29418183, 17803316),List(71263620, 97713303),List(35497599, 33915597),List(77823858, 61712616),List(50165919, 62797887),List(16996344, 16722443),List(456299, 43417423),List(88681696, 23956517),List(81605257, 36149401),List(22437076, 87049231),List(84945902, 39126503),List(33884695, 41344549),List(1338544, 30776163),List(5326497, 30871287),List(82923263, 9918583),List(39145569, 22880510),List(46153847, 50806717),List(25858382, 1732071),List(36143931, 91301155),List(17770114, 17707625),List(86057896, 47085714),List(80178408, 27712152),List(53678049, 44736720),List(30889987, 39915909),List(9808985, 74809580),List(30841667, 52744701),List(20333072, 57786009),List(21116856, 94815588),List(49638663, 229550),List(14412819, 34827946),List(19427534, 54653860),List(31183375, 69798879),List(97921012, 29114812),List(69984626, 68892929),List(57683664, 13146749),List(15057281, 71005431),List(47187635, 96854025),List(5943930, 4055347),List(49339756, 92812958),List(87111599, 84242587),List(13897374, 6030481),List(4019262, 41940825),List(59650179, 38488240),List(46897003, 96002140),List(85736117, 56980088),List(1541745, 55372717),List(10698135, 78116144),List(55895686, 96657287),List(38615342, 87908606),List(60786130, 56080996),List(60795923, 69216461),List(63220247, 77791083),List(40430055, 26511100),List(75977724, 27313829),List(52359286, 74712078),List(15128713, 11802139),List(97649721, 62671377),List(52550926, 45242992),List(63181275, 92251860),List(76061817, 68429090),List(35588673, 41182508),List(71086535, 25006618),List(30023828, 28850047),List(71131361, 26485775),List(2991515, 8057677),List(84562987, 20774123),List(54289319, 51641771),List(66628379, 13134560),List(85947338, 45714562),List(36139223, 50685262),List(46943765, 12671173),List(84846114, 7194675),List(30777557, 32606063),List(58172407, 58694183),List(28289644, 70612232),List(23222463, 52235885),List(2089386, 3882034),List(40273996, 80598881),List(30665580, 84214824),List(93818049, 22096549),List(37449501, 32831253),List(68411326, 13292174),List(56424971, 64520810),List(17660641, 82847269),List(32835612, 43050785),List(77458106, 97252660),List(20729491, 87235403),List(6095363, 91628986),List(56909497, 75854295),List(16186383, 97567884),List(523619, 41675783),List(88442948, 68891868),List(73365575, 85779136),List(38830926, 13495691),List(63033169, 93803965),List(72052793, 60913843),List(22822793, 81268181),List(16881310, 78701963),List(26726247, 94081579),List(83262161, 72039881),List(88171362, 54484197),List(5102170, 40310801),List(93162056, 36310860),List(71868452, 25141320),List(217341, 43316499),List(56776785, 8406056),List(90011488, 69456866),List(12215516, 21683829),List(94034144, 25243060),List(77671846, 27526674),List(84081240, 39627233),List(42718156, 42430204),List(28560185, 38908731),List(32678454, 83449892),List(79005231, 26413329),List(54619087, 65157798),List(31112602, 29770631),List(89975627, 58046309),List(63659508, 6596082),List(83878953, 1206011),List(72851155, 78066681),List(64314260, 20422718),List(4068513, 26490581),List(52543413, 9946242),List(72968812, 23808391),List(93467956, 40543293),List(35346135, 30083118),List(61344275, 90516241),List(73702385, 25969555),List(44796055, 45494932),List(72123968, 63649439),List(2613110, 97220921),List(56299111, 76278863),List(33781894, 60613263),List(32106171, 30145420),List(7090620, 13843811),List(95964967, 79491774),List(65559277, 72485787),List(73201095, 16519257),List(56457960, 9768362),List(12583261, 14650403),List(78243467, 15974735),List(84278090, 55085343),List(921888, 55565988),List(77032556, 17102536),List(68436294, 43108310),List(1952251, 131876),List(76706444, 24876886),List(3348781, 79792271),List(34693490, 66267432),List(50148558, 12302660),List(68681232, 85998961),List(5240306, 75311371),List(39709327, 93652765),List(36012016, 17331796),List(44481493, 7486794),List(27137866, 18148124),List(99505636, 35342514),List(82446147, 70320772),List(20531377, 89365764),List(15452912, 81070208),List(22138532, 89089791),List(68476354, 46362722),List(24353285, 28806596),List(16387916, 7116869),List(58374005, 24377873),List(16203993, 40541649),List(9584140, 47469660),List(26313979, 20424335),List(29045863, 40509041),List(5660667, 58353120),List(7404214, 48529725),List(36631484, 66797668),List(91275203, 36993040),List(29782942, 5914248),List(37830841, 58964130),List(7749793, 97073101),List(1920498, 6946715),List(16811047, 10449924),List(28201876, 35483430),List(8875695, 6804388),List(84456997, 28974422),List(83514724, 86094361),List(41155638, 38561193),List(68917780, 43059810),List(99635004, 61906685),List(3354238, 95973386),List(38180035, 74977),List(68987613, 14042777),List(19918223, 17363209),List(59126016, 34838817),List(53669311, 80529978),List(61794948, 24954482),List(79664474, 88010004),List(80538683, 93579429),List(27352844, 5016303),List(58398036, 28089802),List(54058736, 29312555),List(63437598, 51447133),List(36694716, 18134012),List(28873888, 86230259),List(50042118, 59768565),List(23111391, 20447502),List(16236523, 31361507),List(15332555, 6544577),List(65980946, 26879708),List(72935923, 62766796),List(92873302, 82531131),List(90357385, 68438497),List(19276762, 68080466),List(82062608, 72360331),List(93543326, 29293750),List(59119661, 37505705),List(41881028, 60279380),List(39074630, 25074833),List(76692707, 16025561),List(18056820, 43845415),List(50832076, 768247),List(42227881, 41979426),List(60599493, 82036961),List(50655341, 90766527),List(38563571, 48780445),List(26702980, 93462606),List(80624874, 24251732),List(86380128, 58604978),List(2395213, 93008601),List(42975624, 39868000),List(88816847, 65409908),List(70841411, 48417678),List(44690273, 35900113),List(29700347, 59108261),List(75354902, 21341412),List(82373266, 37695968),List(34444069, 5233668),List(87412743, 60203921),List(25893534, 84844057),List(54278142, 72884231),List(41742840, 35346566),List(70847833, 91175449),List(62703172, 24563741),List(20999501, 34005456),List(7637354, 70147667),List(67568493, 70638919),List(2355612, 65264288),List(31894030, 26992913),List(81844272, 63383632),List(57712345, 32815902),List(4396830, 42688688),List(53791238, 26735780),List(82233948, 90906744),List(51688859, 25111856),List(71603692, 16999132),List(61320225, 5808198),List(51656059, 67460938),List(28414525, 31456752),List(93583302, 2205149),List(27282759, 43169753),List(38493602, 11814607),List(66725853, 58960426),List(43122549, 49312965),List(90068993, 83498397),List(31401580, 3632802),List(60142162, 98991135),List(22573925, 72896256),List(84165466, 98583783),List(64552269, 10273914),List(84579838, 86674218),List(29641280, 14708770),List(43938246, 79836270),List(16994733, 80150479),List(43113467, 85842082),List(4766285, 57514450),List(55507764, 15390690),List(56132012, 91559189),List(38149330, 14292405),List(88438150, 65905754),List(17967674, 76782172),List(68729230, 88389374),List(77257136, 89580791),List(86422138, 37777032),List(15818976, 84169523),List(63425287, 21041349),List(57017807, 23663850),List(69630354, 2981835),List(47336067, 60716646),List(4386572, 59904527),List(56432311, 78736046),List(54429676, 12699910),List(83915723, 5699172),List(21001011, 81873999),List(46292498, 80966481),List(73695350, 60182785),List(74888646, 50266062),List(14891083, 29189420),List(88658212, 9719521),List(58826106, 13281219),List(70851379, 9891283),List(80935857, 95794468),List(80522605, 71451877),List(63302306, 27557088),List(98546033, 17743065),List(18773709, 68310597),List(83453380, 41414782),List(8666142, 85386246),List(35502132, 59635544),List(23453095, 41519440),List(52509040, 87780294),List(10268562, 17120903),List(645675, 28553124),List(13069254, 49713115),List(46709385, 78278679),List(31245850, 50149837),List(46954215, 61491469),List(52596156, 97281027),List(74551502, 51963825),List(51147108, 35871636),List(46652884, 59344764),List(71710824, 87519702),List(64568893, 93244105),List(14657893, 97664633),List(50257699, 66034223),List(45754301, 16263925),List(24579303, 15309722),List(94060769, 72372950),List(87070038, 11999560),List(42606186, 90498317),List(89120998, 76217943),List(10106874, 86988582),List(71056231, 30974372),List(59111137, 63258096),List(52929328, 5681342),List(62906331, 92397722),List(1107613, 80538952),List(89284798, 88736113),List(46719097, 52203037),List(47166112, 21137469),List(21406067, 13950173),List(54218523, 14690715),List(39300524, 44820527),List(78967599, 29498451),List(44658358, 26607364),List(3667471, 24206011),List(36744477, 93578945),List(75487783, 37830423),List(80425329, 16394482),List(4181272, 1565246),List(22479288, 30311848),List(54048224, 92559555),List(8390086, 62109787),List(56116074, 92146072),List(84457942, 73088378),List(20778215, 78613271),List(44570332, 41316676),List(42322380, 90900363),List(82942548, 58160800),List(66755017, 9794300),List(26453708, 85920185),List(29834145, 83791238),List(24377651, 61437816),List(38009154, 95533254),List(31264964, 23153401),List(58629547, 63696566),List(32819534, 45402628),List(15507291, 66560326),List(27529558, 41457017),List(75309824, 43939758),List(85290490, 27947415),List(214945, 48490317),List(31603563, 18606313),List(85540308, 55690652),List(43002553, 69213366),List(18721517, 26345044),List(80724908, 10867569),List(17492050, 76360125),List(13804818, 4859200),List(71865961, 44744234),List(73227908, 47524100),List(83131056, 11419999),List(39402210, 74495930),List(99858104, 84715650),List(79158327, 51925510),List(94816148, 89777092),List(84712225, 3942788),List(28396361, 6420152),List(53555592, 44278197),List(36727847, 3673209),List(35985753, 1881793),List(7350603, 45088869),List(3935197, 9751598),List(1668544, 23090080),List(53939510, 35649086),List(44425958, 11564220),List(64386232, 81562856),List(46145609, 21055712),List(80554245, 25023378),List(27099643, 88692606),List(70442035, 65222282),List(51745846, 73534338),List(16442921, 96695392),List(96794853, 80234741),List(21246882, 55311757),List(40728350, 41888582),List(55645504, 63048671),List(99657313, 72928737),List(92800106, 77633837),List(23757554, 91842118),List(22693767, 46986682),List(53984857, 41394782),List(38780421, 25144657),List(61250029, 31137434),List(8044283, 14532710),List(79921669, 47368734),List(46892210, 41705498),List(47684670, 81921849),List(57118585, 36116306),List(28513505, 36713529),List(93966781, 85240815),List(99611644, 47568811),List(59429616, 27152175),List(67223717, 11146662),List(75716497, 69502428),List(57927503, 42605440),List(28923891, 37104267),List(47206191, 16297303),List(95359661, 34893147),List(69190809, 30151083),List(77693916, 53596919),List(29386031, 34022084),List(69027053, 52340450),List(84476413, 38719850),List(15019509, 49928837),List(58394819, 60940298),List(74335990, 8563432),List(57014524, 59851424),List(42893848, 4316381),List(35459445, 50514325),List(38427681, 5207626),List(81778038, 57562148),List(10988014, 19984016),List(9903406, 58578852),List(56728143, 3778711),List(77075809, 67919209),List(13752854, 84946642),List(67701524, 50541058),List(27624235, 93226021),List(88035694, 76097274),List(15316815, 15585602),List(83699643, 81145711),List(11249379, 99585057),List(33604583, 63046864),List(56287653, 56019626),List(15164892, 66985782),List(48768254, 22844378),List(2307856, 26030978),List(53266345, 53798201),List(49939817, 58334780),List(18795575, 55250480),List(8136938, 65751255),List(89291731, 5298164),List(54655850, 7443803),List(12049476, 7372275),List(49407832, 15940098),List(23563304, 16955417),List(15193011, 66394084),List(33719299, 98983088),List(56290257, 18735635),List(35239795, 13897166),List(7982108, 57568868),List(98175236, 1084792),List(58481654, 75535904),List(59741580, 38193494),List(47431374, 63872978),List(38753016, 91037860),List(71812109, 49341230),List(40396768, 24316702),List(75608420, 15606175),List(98228851, 39755480),List(63047168, 1149673),List(59863260, 69656522),List(92486516, 18378135),List(63360868, 1394487),List(72144914, 75376069),List(34171403, 13841971),List(20945399, 1503300),List(68712136, 2153364),List(69687771, 69198548),List(32913267, 45208447),List(58859130, 70263431),List(3433895, 18170649),List(16190668, 64589592),List(15026071, 13932578),List(72986853, 21102849),List(19597756, 18472709),List(46752679, 72464830),List(97394349, 78145276),List(40850957, 47066041),List(38637961, 61295704),List(66979333, 7500917),List(91116172, 78999253),List(68704943, 33548293),List(12959544, 81738938),List(65008356, 80290934),List(57104031, 47467209),List(58686155, 81388424),List(68139213, 57616457),List(8714683, 28664292),List(57249915, 29320782),List(55820783, 37920412),List(31686076, 11504633),List(93746447, 64550730),List(59170956, 52156991),List(42789328, 15392114),List(90779205, 19885325),List(642788, 57846139),List(18532337, 35293860),List(24213036, 70036238),List(77977531, 48602577),List(66553276, 38763782),List(94928807, 13852037),List(18779529, 75455767),List(25768071, 45319352),List(53384036, 81696082),List(88580572, 22582574),List(15617552, 99223150),List(80913396, 70545803),List(43916207, 50204707),List(57994790, 27677158),List(67946322, 10286574),List(21960043, 15558530),List(64662247, 92097466),List(19898805, 55409131),List(51503775, 95092330),List(97827693, 90564602),List(68334044, 90374728),List(70492789, 54052208),List(64424598, 95368287),List(15909800, 24828646),List(19527656, 35697355),List(3218068, 65679697),List(55833600, 14957376),List(51769770, 59937795),List(93215456, 36900866),List(76285247, 37987719),List(61852159, 84128343),List(56264288, 60153678),List(69696108, 64550975),List(15328549, 65909707),List(42177895, 57275231),List(35071514, 38332293),List(36661726, 46252586),List(12937872, 21962942),List(80165326, 99335460),List(91550102, 11601174),List(27679985, 59845398),List(50939830, 72874377),List(26638237, 12626275),List(3908520, 33523287),List(83628198, 89165976),List(34682288, 63479346),List(76328064, 2423015),List(49602700, 71814975),List(73256154, 90658970),List(50139902, 57198782),List(79747344, 78653787),List(66277364, 46840506),List(96994841, 20287164),List(24552685, 23244722),List(39402156, 95420263),List(24023902, 76193887),List(91588237, 23147631),List(4584595, 62223145),List(64119006, 50543269),List(77718060, 28113653),List(15994298, 52902734),List(73947076, 13725445),List(96294381, 34190810),List(48538277, 46737189),List(81172621, 76131890),List(3706409, 14477769),List(18033594, 8209212),List(15070306, 57461677),List(88867242, 84298598),List(8759816, 13836531),List(76922334, 82677451),List(69708687, 98216245),List(86750474, 56888271),List(42459945, 93575387),List(80276963, 91104111),List(5019110, 68358099),List(38605087, 56473201),List(72502469, 69318685),List(14592466, 81676373),List(61385741, 58030210),List(73665731, 92553372),List(6632810, 91488046),List(29646912, 20425847),List(43986889, 54084629),List(66201092, 18198125),List(47318768, 80736166),List(9609645, 52221153),List(31681737, 90933634),List(16665381, 85928984),List(87134173, 21791597),List(24362586, 19254886),List(66567526, 26313653),List(62520746, 96118055),List(79882395, 75803202),List(32387670, 38432348),List(95174141, 71693937),List(75263638, 57415135),List(92316618, 75448664),List(82071932, 85576240),List(29201328, 22014230),List(44719535, 18624605),List(75349635, 57012076),List(88747885, 11486661),List(17429186, 23119588),List(83165555, 39645585),List(47430123, 63831167),List(16255605, 64188376),List(74406665, 58408122),List(72240075, 33105486),List(8885201, 76624937),List(79182321, 98748697),List(41519464, 59913883),List(32970286, 70907202),List(60192203, 2045216),List(58560140, 9171856),List(12493840, 45923693),List(3382706, 31104703),List(7225586, 88592870),List(48853517, 83100395),List(1291311, 73877465),List(16929233, 69419403),List(14133648, 62542318),List(19175695, 12542047),List(75311687, 82637284),List(69535852, 18925858),List(87487734, 62301834),List(92061451, 16164223),List(59254764, 45731849),List(99901569, 67640068),List(12040591, 69393991),List(44906414, 44291954),List(30658155, 81985261),List(73106629, 57994731),List(7870725, 4368440),List(97409089, 67967031),List(97738235, 64230776),List(24943091, 73326646),List(75510733, 8799066),List(4577005, 98183318),List(6750049, 12068614),List(10089692, 74260893),List(91839591, 63793437),List(48760022, 38409561),List(79738250, 78758748),List(58221678, 71202335),List(8043046, 76177651),List(64408459, 84067055),List(69454751, 45410078),List(31850875, 87366641),List(95102517, 74603458),List(40727096, 77449021),List(93494292, 66150351),List(2867004, 42759414),List(71367845, 17599382),List(68104107, 66164573),List(63165665, 17204685),List(71942151, 45931388),List(65299113, 99070934),List(72553371, 59475431),List(81620238, 46426537),List(66857931, 1685801),List(27104589, 98678001),List(70821096, 76049622),List(30917295, 65195781),List(9230291, 85607398),List(12721515, 77958588),List(36589587, 43674662),List(35462929, 11122203),List(81983108, 96757221),List(2541545, 88425585),List(78310592, 66859486),List(53543589, 73609080),List(21671681, 69930007),List(40600104, 47376304),List(93803291, 54614610),List(97155151, 30119478),List(63616796, 3689791),List(96246304, 82941378),List(59505896, 37058070),List(56666665, 10491269),List(40291918, 15598325),List(49498765, 61871088),List(31090124, 99166856),List(83605551, 95979052),List(98077256, 74759852),List(74624530, 94396288),List(58931497, 53135467),List(90265780, 66177751),List(93875832, 72387041),List(98543793, 77579157),List(36968245, 39922183),List(33960473, 14718874),List(13399350, 24034680),List(2639607, 27037985),List(3510755, 13493449),List(11524788, 92391293),List(53013854, 16759602),List(27594311, 11243791),List(29146100, 72709950),List(94364968, 90867314),List(98711933, 8480544),List(47553008, 90577255),List(29216866, 15062813),List(38423662, 5646277),List(95666014, 55030402),List(59190895, 79742380),List(49541794, 3031859),List(30333510, 56233000),List(78112696, 56325847),List(89753812, 94386430),List(62768841, 4010239),List(22414734, 99881232),List(92068920, 74805214),List(41576757, 22049014),List(40376441, 34855377),List(24376207, 52260198),List(43904068, 22221513),List(73737602, 36469402),List(85280462, 37876890),List(98381151, 34050640),List(52510572, 91872596),List(68142639, 48331508),List(63389434, 19390183),List(13715582, 13536165),List(15228799, 45966300),List(14352781, 78609119),List(50496461, 63933725),List(75278254, 92694795),List(3587208, 57331667),List(66034053, 31346093),List(77237419, 12117460),List(57140580, 63646622),List(7764193, 57497373),List(69330483, 33124354),List(78012664, 41561010),List(91520215, 33060675),List(9902538, 43010128),List(24746496, 9407089),List(95274314, 24162216),List(14171675, 70103627),List(63854568, 64390986),List(70742285, 65815039),List(9905028, 49461999),List(76468481, 22081925),List(71580777, 5567424),List(85904722, 18975938),List(14251257, 70876860),List(35934273, 72943776),List(28429166, 74727122),List(74828347, 5518496),List(99798109, 12381048),List(97180042, 11475857),List(10514239, 78078446),List(97398349, 51317922),List(92300141, 85284563),List(33388275, 72838457),List(1533685, 88616246),List(3676174, 74429334),List(69832293, 65923585),List(72910927, 84074598),List(96483895, 13572088),List(3362842, 85182553),List(61303166, 25948428),List(40844439, 41495490),List(24512795, 15435234),List(18350738, 3776433),List(75224988, 18247772),List(75662565, 61213765),List(8121133, 41381159),List(56489319, 35758991),List(37412108, 14421406),List(29475222, 83038018),List(95384247, 27135261),List(42338348, 43931405),List(92663112, 89655550),List(55855995, 86430651),List(2627884, 98266470),List(61476610, 20567140),List(81277895, 14359680),List(73657217, 97396211),List(64407124, 88463108),List(20441542, 86055259),List(86106837, 49239333),List(20080321, 92446629),List(43276469, 6618260),List(40631831, 15415342),List(68583535, 10570046),List(93983827, 83189000),List(92728243, 33596493),List(4075498, 68369446),List(30437945, 55034354),List(7484158, 98101091),List(89524177, 5511601),List(55184665, 68676208),List(74238646, 80906615),List(65179486, 94429735),List(72793336, 80720837),List(86158838, 96907795),List(23682916, 94456254),List(831723, 57730469),List(84341552, 32108250),List(31935368, 32289758),List(81529689, 39426867),List(93411950, 76793408),List(20993067, 95341972),List(39452681, 58807541),List(35682295, 89314162),List(80052188, 90764608),List(31336864, 3979569),List(77991585, 59959349),List(82687887, 43152165),List(65864755, 28218671),List(76492473, 49419318),List(30847437, 66987020),List(96748853, 74525111),List(24636963, 27454852),List(75061128, 80445686),List(58234210, 93897980),List(30602562, 70952360),List(92322979, 18051525),List(13411053, 80784557),List(69137947, 24299674),List(99274858, 37094813),List(82880721, 6689121),List(10389049, 46513166),List(29479258, 61966246),List(43506498, 76343033),List(16978090, 75275194),List(76438044, 11823339),List(45365991, 92291896),List(92691727, 76388321),List(25842013, 12150166),List(68116944, 99372072),List(71711586, 76591695),List(82133931, 1230131),List(39767001, 46313381),List(93701591, 90754387),List(98289302, 23997387),List(28773355, 41736790),List(38815015, 48786388),List(43732595, 85580821),List(39975599, 68107668),List(76431007, 61900975),List(21848434, 34269228),List(31386270, 8318208),List(48140446, 25240210),List(62685447, 37660142),List(69868161, 97656389),List(33304306, 49999726),List(759162, 88497112),List(8980129, 10214042),List(3734120, 66640943),List(19989366, 73690959),List(44601975, 7247619),List(11334676, 97272792),List(95561104, 34097841),List(32473729, 69274004),List(16264001, 26073412),List(44459632, 84864479),List(4787612, 99370291),List(72225728, 52242695),List(27694048, 25623604),List(18456920, 71366181),List(27600788, 73851717),List(83513393, 73767537),List(55583836, 24814723),List(41899902, 47740795),List(6592658, 27713219),List(19639325, 21222125),List(68041300, 38026181),List(85378406, 99642921),List(95737474, 50358715),List(45082274, 93461196),List(52196973, 50480570),List(86591780, 91888031),List(87683772, 52256224),List(1583233, 12987359),List(7402218, 89252218),List(37480616, 6296499),List(35032365, 27763866),List(31997187, 57854377),List(73476195, 14533061),List(57176566, 8791800),List(119374, 44495001),List(58812189, 99303767),List(40429043, 4329833),List(32431633, 73414992),List(58773409, 49703497),List(13604865, 83054719),List(82987691, 87531870),List(44402212, 22769544),List(68553583, 42667608),List(29674839, 98997216),List(85119248, 40888515),List(96703313, 64693693),List(93330856, 14315984),List(67560047, 5868939),List(99496263, 66056314),List(46909164, 29478728),List(90511428, 33836170),List(78166346, 28755346),List(4613278, 13863048),List(62400956, 98663966),List(28914513, 40215307),List(35750493, 93084672),List(91470210, 4195028),List(83766437, 88929711),List(71998766, 68999095),List(48994825, 35346779),List(38877492, 60208124),List(36669398, 60512510),List(59483761, 48533896),List(7650009, 83085759),List(54944687, 46143694),List(54987666, 35726555),List(69871134, 21903414),List(84695472, 91562945),List(17254232, 31410792),List(25951253, 42337178),List(72801702, 88291251),List(40629072, 70995945),List(35619079, 94043287),List(86841825, 80398078),List(4937117, 44729195),List(43733673, 73950649),List(14641961, 34985465),List(54252625, 93863916),List(63900915, 79301854),List(52275826, 52775853),List(29610451, 37760944),List(63609991, 42620113),List(8547726, 45191754),List(95302426, 49391105),List(88906804, 73255718),List(98426649, 27049388),List(96528494, 89145342),List(16891441, 70250099),List(67357407, 42438663),List(81661109, 98850319),List(84089689, 83449208),List(31669684, 43226343),List(31707753, 59087875),List(76496156, 34147460),List(63084727, 54629282),List(62582731, 97321551),List(55874074, 66211196),List(22260820, 51801742),List(54780574, 19529462),List(4019539, 71426748),List(84198110, 45824240),List(65457338, 67962087),List(21030988, 47861423),List(32134294, 72665825),List(71614787, 83690110),List(21339100, 39184003),List(94506940, 77218104),List(56433163, 16467012),List(17080264, 2823785),List(89460153, 43453012),List(29809832, 31791142),List(87321697, 64763207),List(71233151, 3352622),List(87157140, 10476447),List(49264505, 4238353),List(37974967, 56076483),List(80746394, 64277755),List(83815542, 61668787),List(62477057, 36066570),List(44714443, 64453083),List(29225570, 54847650),List(9820127, 67487447),List(99103730, 72330000),List(23164667, 60609726),List(81821011, 69194835),List(98331889, 37488966),List(20649792, 47273476),List(49908661, 13413159),List(23503367, 70981686),List(50933415, 52427058),List(81693083, 14106891),List(25916083, 72342606),List(31916568, 68322452),List(51001870, 32093088),List(87921878, 78455943),List(11131872, 6779355),List(71143997, 96073233),List(92582595, 84058102),List(64619746, 36487401),List(46231141, 81045779),List(81321427, 93833588),List(20809148, 65804476),List(31279278, 58425192),List(46718533, 53990933),List(80119533, 99297114),List(18274247, 63360499),List(63197746, 78696326),List(61501685, 6913087),List(13116876, 66875903),List(48293597, 16246448),List(68088962, 59949863),List(22625553, 93131662),List(64360346, 39307374),List(50702387, 10908071),List(83514537, 3326045),List(26062880, 11437725),List(45845522, 2724651),List(96203732, 56628791),List(23865376, 61742598),List(1887295, 25393104),List(8159801, 91343736),List(58005804, 70751653),List(70942066, 54859930),List(75261040, 93297944),List(73310484, 15688074),List(29650207, 50874405),List(54467400, 96112823),List(86302737, 6831243),List(80202765, 59086472),List(57330563, 67471531),List(1910078, 9253213),List(19920616, 66231714),List(35564885, 71872129),List(22308968, 601090),List(39726603, 8983680),List(6392155, 36418010),List(87462726, 59430704),List(47896443, 29796761),List(70608585, 5827883),List(17103980, 14214466),List(38773773, 10828475),List(58099191, 66587330),List(27930333, 48904480),List(82071964, 41560862),List(86541410, 57576235),List(45278275, 67139085),List(65687403, 5169196),List(51378378, 12386860),List(6131954, 87153293),List(23207943, 88743024),List(49591412, 74208106),List(71146530, 48284097),List(34891123, 12895511),List(23908070, 90121220),List(87932791, 78086201),List(95421760, 16841078),List(65540832, 39114199),List(14546421, 43907900),List(2806811, 55915215),List(92188114, 29996957),List(6283858, 49174018),List(69259327, 98074994),List(84658886, 32536555),List(99220814, 61732851),List(81449763, 46817564),List(69162729, 71873394),List(42178389, 73123330),List(78790689, 16633726),List(34919639, 15726086),List(16492990, 89563527),List(4072833, 67159555),List(56665924, 18365919),List(12357419, 8535163),List(65389319, 73085381),List(38982654, 87981772),List(31464433, 97937461),List(40092545, 1385221),List(14245027, 34975019),List(58528517, 53522938),List(69861630, 32892920),List(13524617, 47028965),List(84068328, 85718908),List(18754088, 73778325),List(67206014, 11864846),List(61314095, 22076201),List(5096408, 41328946),List(76403319, 8720954),List(48090929, 32285343),List(30958429, 86577997),List(58472700, 3257825),List(84698406, 67806670),List(60420771, 86707045),List(19112835, 44184925),List(74391353, 7807532),List(13242783, 73390892),List(64398492, 6697890),List(95695614, 76275976),List(45453342, 31080189),List(94992698, 34677179),List(10579492, 7054662),List(30120538, 55461391),List(47710843, 65462621),List(18781460, 20715192),List(79523412, 49738078),List(80750757, 73168213),List(12643663, 97431256),List(754860, 46531174),List(77359635, 30953773),List(99589951, 73560907),List(19329367, 37568211),List(28874655, 94639296),List(28449794, 74481811),List(46477128, 75231880),List(5959846, 61956382),List(22802555, 35135486),List(21127911, 49196619),List(37328425, 50194705),List(23603939, 65424452),List(50780760, 26067057),List(20127430, 97809350),List(698231, 54151965),List(54540031, 60770147),List(32982204, 25819981),List(58855288, 68929508),List(74664190, 33178064),List(73225594, 9689949),List(82474730, 84757116),List(3397822, 4680292),List(90099680, 55967717),List(47308127, 66466899),List(76250443, 21617111),List(2528139, 91471326),List(27859501, 65580665),List(75313249, 87209113),List(6558540, 44822197),List(15847951, 67238190),List(64190752, 72364130),List(17224331, 33640448),List(69889602, 52620195),List(67362967, 85919385),List(36914684, 59374085),List(25757337, 48720419),List(4740338, 64357097),List(38736525, 29692488),List(10322232, 74777787),List(40227344, 44774433),List(94493523, 92248827),List(68771551, 98502511),List(87674307, 60264759),List(12623416, 98170905),List(49165988, 22266496),List(49846959, 22220166),List(46842968, 30077564),List(15770910, 85280853),List(99628339, 29697617),List(31718898, 38055811),List(4066493, 26824704),List(79222593, 86787593),List(64014148, 87374431),List(44388447, 47696521),List(82039486, 64615906),List(4348457, 54992242),List(28782553, 24744663),List(43949810, 41360865),List(42506599, 77379455),List(21454802, 92435425),List(49468811, 22726110),List(84048220, 81379802),List(23638300, 18877052),List(61315621, 13621159),List(27700522, 62516175),List(8984962, 50090346),List(96605707, 36908315),List(67904786, 35652661),List(65346949, 19852115),List(86525024, 17873206),List(91443986, 28690629),List(46399148, 92539534),List(67347521, 8874260),List(40538515, 14999389),List(36774572, 3013440),List(62277151, 81177431),List(84425078, 89191114),List(14305626, 75135556),List(16933122, 72353407),List(38655350, 41080305),List(38882961, 93744387),List(51951436, 13550210),List(4135946, 87064600),List(66018664, 8860040),List(98639629, 95892493),List(19661567, 28518999),List(14840328, 68893188),List(18345160, 42662560),List(5162788, 88395334),List(30673635, 49769022),List(53913047, 83544753),List(25495869, 13462072),List(85593330, 72242241),List(86997357, 99280736),List(82519646, 96240240),List(57580420, 16297280),List(69005675, 37736605),List(8137497, 90733597),List(76568505, 96171155),List(96800460, 74315381),List(99259816, 44396588),List(19669829, 22746950),List(70672340, 73348187),List(8715407, 92098532),List(99086158, 26523792),List(15823632, 96850918),List(31805022, 20183856),List(19998346, 4645940),List(85455661, 10476864),List(2715142, 68491765),List(86949512, 96451228),List(66977014, 23573528),List(93320565, 17753815),List(4138483, 2542150),List(71783177, 14384509),List(33169671, 24995708),List(7212649, 6819263),List(6276980, 96494381),List(35552505, 60893569),List(33112639, 85957959),List(19376414, 32792505),List(26936616, 81115135),List(90072775, 69611791),List(75256115, 35615418),List(65651994, 11526785),List(65751045, 96664946),List(64275778, 88936923),List(42984915, 88011423),List(61068279, 94786007),List(32983665, 16340610),List(99076390, 9835526),List(65589811, 96783054),List(77843859, 79798981),List(9199820, 93916175),List(52241908, 84355047),List(12497684, 18212276),List(80927237, 38075687),List(45465832, 79665317),List(80860805, 18815466),List(24506668, 85622236),List(68136701, 9514657),List(15196892, 53899353),List(10489314, 75833209),List(21721126, 13418363),List(6487747, 32071853),List(60623835, 98642049),List(95552952, 49870169),List(92554026, 56706788),List(63437164, 90959494),List(54648312, 86376168),List(12855253, 43577025),List(53586236, 46388218),List(18923842, 43639113),List(92483843, 17171665),List(1493063, 54030960),List(67773738, 94300844),List(61200801, 93742117),List(34835702, 70836036),List(28918695, 87859938),List(939242, 8429202),List(44471172, 66851410),List(68044384, 63934684),List(36299962, 45326512),List(31473560, 25794849),List(76895152, 44925523),List(87320848, 21498680),List(68777712, 55185939),List(36905603, 3204921),List(20923050, 19974326),List(7896590, 8534947),List(49140539, 26744061),List(67545606, 15723699),List(76173716, 48071104),List(71107525, 73298052),List(10752979, 12001211),List(64062366, 98906014),List(95217739, 96043348),List(12840190, 89726623),List(92108712, 79841955),List(4239159, 74946691),List(214010, 51519281),List(96451512, 95111448),List(30428525, 61267278),List(32274452, 28735160),List(61330679, 19517686),List(33442152, 90970750),List(52823663, 78574530),List(2421398, 1202516),List(79864988, 88546481),List(69417311, 31437630),List(41138717, 91697975),List(94996987, 22871597),List(60435683, 93017005),List(91659747, 46361141),List(93795991, 95118785),List(5874725, 74960324),List(96793434, 94623928),List(72523581, 83104185),List(39823951, 2455341),List(60483691, 19766832),List(78694822, 67125537),List(83539442, 44264480),List(15080574, 27649750),List(75887100, 55039044),List(96813896, 98705959),List(28594014, 11607381),List(6738705, 7842101),List(34964614, 97820949),List(7788461, 35696032),List(44152272, 22848100),List(82640127, 72593755),List(72761792, 58352316),List(14922221, 52635375),List(23536474, 34244015),List(2342900, 23316571),List(53057245, 40421908),List(14267413, 27317071),List(89664361, 69222738),List(83361659, 67410328),List(16905856, 5948387),List(16460699, 43637914),List(38935849, 26914007),List(23561605, 51222953),List(45963959, 46309263),List(84561394, 58432141),List(15888921, 3076461),List(55042128, 24487799),List(97446660, 21269642),List(12305563, 80981315),List(85772368, 32601336),List(54725768, 29530319),List(37595109, 76912795),List(96345836, 66495830),List(44263523, 39562028),List(54275490, 66764916),List(28093764, 96280267),List(82212338, 94878275),List(78609289, 59157395),List(79237367, 67111510),List(79443215, 5035590),List(90214471, 68054888),List(90311690, 96432942),List(76059903, 79610079),List(44190840, 11432316),List(16605425, 21647962),List(49705939, 77495095),List(36294411, 19544862),List(60961900, 72604650),List(34967767, 172543),List(96315592, 86344028),List(94221264, 12239154),List(46381081, 70263620),List(2823060, 74493782),List(67570541, 14580590),List(93988511, 38456175),List(32352017, 37512149),List(80815596, 55208353),List(71148781, 63798392),List(13269103, 49357042),List(8892361, 34557998),List(8745784, 63370095),List(44232017, 18333611),List(16927627, 52403473),List(59335491, 12918868),List(5320915, 79736626),List(66700558, 64539305),List(53418003, 33966956),List(25655408, 93450742),List(47242872, 82736565),List(64260866, 17665761),List(43581753, 11816939),List(79149829, 86419372),List(19373053, 89359319),List(16855112, 17109676),List(10099662, 45165084),List(12322079, 78330024),List(15942653, 7990657),List(99872617, 42463573),List(56831749, 66355460),List(20055180, 22723392),List(75563182, 36762177),List(22393929, 30014186),List(10750215, 1042583),List(35368823, 25977655),List(38883380, 48181247),List(55436578, 723521),List(89065763, 9617892),List(97014660, 52972633),List(49108053, 64346007),List(60636349, 35303380),List(62500895, 53223713),List(43000317, 6691329),List(54859559, 24673148),List(90858686, 74771055),List(74902070, 10061382),List(59241027, 22968978),List(16018424, 91427560),List(63550805, 91955834),List(85205238, 50221680),List(26764767, 58939892),List(57437901, 63631680),List(74976637, 68518764),List(4467543, 75809264),List(79121591, 86389666),List(42755088, 62742483),List(88740927, 21635225),List(14532050, 86180836),List(52271417, 75440001),List(75577747, 92037459),List(92118937, 49081951),List(96628892, 21701743),List(80604052, 30600546),List(88489012, 91663611),List(22430537, 21377758),List(69680473, 44611475),List(35418141, 24683093),List(99298998, 81622044),List(77813459, 15034441),List(89466983, 2859405),List(74266372, 17088386),List(40917403, 71779654),List(316913, 33422628),List(83941190, 99421047),List(47197252, 91217238),List(30341202, 9057743),List(25070596, 45078519),List(59446725, 17896969),List(85282227, 31136498),List(71005770, 66806152),List(97364533, 99982986),List(57271309, 90399589),List(64543203, 65458579),List(53250163, 29236516),List(23721811, 53921907),List(76418918, 35089375),List(99930157, 36563740),List(70524922, 86531650),List(68839378, 41978308),List(52824333, 78728797),List(69721581, 67259440),List(11544841, 27963533),List(64828623, 77536743),List(59564908, 15766066),List(54416515, 80059935),List(97421650, 94336467),List(55289966, 72144713),List(9196642, 96668588),List(93358746, 27290275),List(48554119, 3126792),List(66565358, 46156886),List(74260245, 79480866),List(13558955, 82344445),List(76488436, 12682542),List(46607098, 66724709),List(87714733, 59288316),List(59055785, 21274562),List(57810202, 13771385),List(5667740, 8502850),List(83173819, 5814758),List(20444643, 56345299),List(55557756, 75054125),List(38266764, 56256373),List(17653557, 17880864),List(14178435, 28495331),List(75575460, 95081508),List(68160045, 85895522),List(43371251, 96990306),List(57354465, 61721945),List(65700654, 61888794),List(41563012, 69778189),List(79552094, 22965194),List(79361563, 90160817),List(65447257, 69057138),List(37647680, 69541876),List(57218722, 65190300),List(84485015, 21555772),List(12281126, 2660485),List(56013848, 4066134),List(81250384, 17917583),List(26569320, 66676531),List(12215232, 39366430),List(20853683, 61171406),List(77121073, 37131480),List(96853440, 54381737),List(97260428, 56623595),List(91257162, 97478557),List(34029645, 93483583),List(9307334, 14095737),List(85892661, 95090659),List(39439035, 65965110),List(91139080, 97757050),List(5548423, 35689889),List(7174602, 15249469),List(56454217, 51964318),List(50546364, 86968281),List(51376828, 87611486),List(21403980, 34844072),List(52297099, 4121994),List(9132191, 59003719),List(57783612, 86223534),List(96521798, 51174392),List(90915405, 72760650),List(78456108, 96128359),List(12994374, 27433313),List(44810407, 82822740),List(91289416, 5726876),List(4272222, 63936601),List(20725236, 79582961),List(27381797, 63350174),List(45763174, 28048833),List(5407455, 21149126),List(75402336, 76334008),List(95304332, 55935939),List(54270412, 2298698),List(15367043, 94416385),List(40573901, 57653904),List(38039087, 57543553),List(15054459, 66782861),List(93373073, 86988312),List(94634277, 38041343),List(21894557, 1528441),List(51925169, 74971343),List(33595141, 60787562),List(50069611, 59381837),List(15310374, 94917763),List(40337488, 21377921),List(39991783, 97118964),List(84059311, 76007077),List(74511353, 79699683),List(66858458, 25962851),List(59207208, 75186845),List(23037033, 44017714),List(78097180, 95891827),List(9685648, 81104649),List(59964668, 44343602),List(28411253, 62774906),List(94626685, 8795518),List(25131760, 89911833),List(39841963, 72277770),List(15262756, 41167644),List(15077757, 32996565),List(59554422, 96392026),List(73303066, 41284507),List(74765654, 96762017),List(22794824, 29749288),List(94534042, 98216297),List(86679361, 79425980),List(13437349, 73748837),List(38305115, 97552748),List(76206637, 49875122),List(59065469, 68314320),List(9118931, 62371289),List(10580414, 78363795),List(88214589, 85302057),List(17712417, 24883925),List(39957789, 32972037),List(79279211, 33378953),List(80036084, 33011738),List(22524896, 94601287),List(2271482, 88481631),List(77202966, 54377344),List(76976176, 35375867),List(95942670, 16665066),List(73303251, 30870038),List(14892531, 96999196),List(20540816, 76807853),List(19432148, 91775786),List(49784875, 15048085),List(29071657, 81780660),List(16414121, 7180603),List(85521344, 81964629),List(43193530, 12236382),List(79535106, 58884032),List(71977666, 34624146),List(32950425, 2459379),List(11902049, 148835),List(8692903, 27666964),List(65349465, 91933952),List(38539210, 42698144),List(69598959, 40727908),List(74981996, 96503392),List(77941557, 74002879),List(31937127, 14742978),List(99880580, 25424248),List(7504947, 4489474),List(67352158, 85499275),List(88797930, 29013839),List(12220343, 79880078),List(18522472, 3016902),List(94040269, 71759629),List(29931020, 52494546),List(57319407, 34839497),List(14791353, 7199638),List(70453153, 59319492),List(50845472, 449496),List(8002419, 90808643),List(58646895, 75564798),List(41403288, 8772264),List(71636206, 65263049),List(45272414, 80026308),List(62786555, 3579255),List(78088366, 19005171),List(80956159, 27636085),List(45918842, 66832843),List(50011046, 22963308),List(53091102, 34029328),List(48001500, 35296573),List(1767821, 90496546),List(4368048, 87374315),List(79620446, 69100049),List(76921400, 93491184),List(36383634, 16020520),List(49209330, 74446875),List(29024211, 19264144),List(13016074, 62495875),List(55701673, 11666544),List(53513510, 54674697),List(23844949, 75278770),List(2726649, 9282207),List(41924608, 71554846),List(72310438, 12133701),List(60740889, 28095387),List(57441439, 81191949),List(87750256, 80086989),List(1319818, 51262245),List(49894022, 41099781),List(10073331, 19942946),List(25804441, 9477585),List(54819200, 24102552),List(66130061, 40901178),List(65536497, 61371921),List(32261523, 21682296),List(16992502, 84767074),List(92756874, 64652389),List(64662391, 81822),List(71735359, 14725361),List(91068416, 3807312),List(81902487, 44404949),List(99457272, 34453945),List(67267636, 62039252),List(42759610, 28910657),List(1465677, 2496215),List(365546, 35580326),List(44742700, 69048648),List(48257462, 8674570),List(22742323, 79983221),List(49087365, 37084952),List(20513598, 88217236),List(40308783, 87944509),List(85050566, 877534),List(5236342, 2174441),List(38977153, 61744154),List(66269203, 69179472),List(22600482, 95817626),List(84717965, 71231013),List(66021183, 91072525),List(33956569, 24670093),List(36250520, 78502591),List(1530028, 35059441),List(75384355, 80996922),List(3146023, 57613855),List(78320300, 54467568),List(33802484, 83060668),List(25496032, 99597166),List(7583038, 42719138),List(90289020, 10730394),List(40792698, 62644135),List(28907696, 36422078),List(31878105, 47276384),List(61945624, 39288688),List(80115714, 89350714),List(97831137, 64461200),List(23933919, 85830952),List(44490144, 8164932),List(22066090, 92437415),List(4388703, 66887369),List(12663168, 25336466),List(75026827, 2871929),List(85944648, 1029418),List(90693832, 28030239),List(23489324, 4494891),List(90445461, 15976897),List(12317730, 14397094),List(67347276, 79763773),List(38664533, 51082752),List(10745418, 94898218),List(82371828, 97320839),List(8954274, 47758593),List(80638747, 96360864),List(70057979, 15762337),List(21315798, 25940516),List(97447175, 43785518),List(82467268, 53863413),List(12344614, 7519583),List(52725199, 36501642),List(59448752, 93660172),List(93936650, 80334184),List(24273437, 96901257),List(39015254, 96755665),List(9182870, 67770596),List(88216051, 71330883),List(36817098, 78206002),List(50215433, 85430434),List(62706136, 64749547),List(53245449, 89274352),List(84559858, 14821597),List(53658706, 82396779),List(27116738, 59563100),List(37893522, 52211142),List(60316703, 90518531),List(13930845, 45233200),List(85979861, 1012020),List(87001714, 74563610),List(10419516, 3476),List(22831948, 68889177),List(3735138, 27013608),List(72786067, 42856814),List(93416598, 1779779),List(65610297, 3907310),List(40302828, 45058113),List(89387577, 9955460),List(86562926, 88581516),List(92539460, 33509026),List(77866121, 31151767),List(33133695, 25753417),List(90806044, 27285903),List(20460220, 83774893),List(83712216, 33308764),List(21072818, 21112902),List(15922401, 45142268),List(80561331, 26088567),List(29135956, 88762897),List(35309289, 81493276),List(29602326, 22789559),List(12348072, 88732983),List(81925755, 33030686),List(7306617, 58476422),List(65310126, 96015148),List(59695675, 23896431),List(79871929, 55265899),List(82937494, 42905579),List(3350438, 37933781),List(32872312, 54686641),List(15724145, 29292876),List(42024856, 5901085),List(99088495, 22328611),List(91552428, 98655631),List(51040507, 73004989),List(36689282, 22237162),List(32606491, 94188542),List(2836549, 3936114),List(30354965, 40738673),List(4515970, 62396836),List(78831787, 2271769),List(83930409, 89431742),List(4021591, 22549428),List(88588146, 10191552),List(5423031, 23699608),List(65286472, 79797470),List(84295950, 13779563),List(82422984, 48340706),List(10402218, 7640775),List(86785201, 4885836),List(56116642, 23324195),List(55423501, 6401819),List(83834219, 12481994),List(78063763, 46257091),List(92145900, 19870037),List(18193632, 46467904),List(30879816, 74285525),List(78880568, 52023308),List(94002357, 94622347),List(13083537, 75686094),List(71279902, 91084769),List(62578589, 93214089),List(74785373, 98735748),List(7367342, 47106853),List(49884685, 30585259),List(88053498, 29434880),List(52934857, 86331206),List(40422258, 34819321),List(1689705, 34385729),List(59896590, 26600769),List(26709907, 7335627),List(90169553, 94684888),List(76216696, 62384644),List(32014615, 35690309),List(49067659, 15881382),List(11555819, 84406004),List(31930887, 88396262),List(90675151, 77898679),List(77603367, 15960035),List(43489508, 77846746),List(86041824, 82726050),List(20477426, 48514717),List(92918361, 98657134),List(27185552, 15575993),List(8364660, 60139923),List(68557596, 86881583),List(10049817, 20048949),List(44565200, 60476894),List(24022959, 48438676),List(92442943, 71726620),List(26535122, 25156778),List(77076618, 35296424),List(10543992, 72511046),List(47491926, 13268971),List(40309058, 46487188),List(49857377, 97055164),List(67639756, 99131235),List(72546823, 27103754),List(24971636, 38764707),List(60559087, 11746836),List(103975, 41809399),List(43622412, 14398318),List(95491331, 14749437),List(7659216, 6044998),List(38143892, 9180569),List(9820473, 21092645),List(47198544, 96924361),List(79603809, 64515531),List(26032529, 84561194),List(58851749, 11900084),List(44994886, 4514264),List(75493105, 51105644),List(65233461, 2126501),List(5303755, 18537733),List(6062910, 62810824),List(17909848, 91059393),List(2133693, 79977434),List(63862665, 5622140),List(65737929, 42775804),List(63666384, 72366462),List(27644629, 52228835),List(10851472, 81615464),List(96887107, 90262958),List(89487980, 97721408),List(91016028, 83776327),List(82648551, 14201148),List(80155972, 99634260),List(86635541, 81087699),List(60757320, 80451247),List(27869020, 77239890),List(6799206, 38740824),List(84043233, 35810890),List(6596802, 30566043),List(91961634, 16392123),List(86247514, 92045810),List(86679917, 22694743),List(68656814, 89872674),List(43505660, 53408905),List(14804229, 45002511),List(29882727, 58873924),List(10951399, 60345864),List(34507014, 55989586),List(89171307, 68405474),List(21695432, 7034341),List(27753726, 37397738),List(33804147, 91784443),List(7900382, 5105443),List(53677478, 40260605),List(73181803, 56190848),List(97825077, 91808978),List(19176995, 99884857),List(41994782, 19900012),List(75824408, 5512576),List(36948878, 34732558),List(16872337, 44189783),List(87334751, 84331010),List(97709411, 30874046),List(59266456, 82061372),List(70300087, 4936359),List(16128447, 46355170),List(70440863, 20131560),List(1703652, 45039834),List(88657147, 61054735),List(14713481, 66943764),List(35067598, 70501571),List(62013680, 9118154),List(6144330, 10733819),List(65502213, 25466788),List(82652549, 36442835),List(20420003, 79048093),List(44504610, 99007673),List(90200092, 95877894),List(72738713, 78304098),List(16248896, 37900781),List(60570385, 55735075),List(6879839, 91424972),List(78144133, 42430807),List(39249051, 9480829),List(45944875, 76772367),List(86854809, 17104066),List(66693781, 79574557),List(76746789, 99364734),List(69254592, 47665142),List(9506799, 47125309),List(1031327, 22026855),List(31039914, 5700593),List(42168013, 5307632),List(12362684, 48036763),List(70252238, 26736053),List(18268506, 99212842),List(56385156, 69859360),List(78209121, 18280624),List(69973421, 7904646),List(14840589, 72555606),List(66662514, 33636165),List(68489753, 15910389),List(12546558, 45128020),List(90665462, 46551800),List(82546389, 8526000),List(81947149, 69861764),List(5864834, 57601791),List(54006864, 61327215),List(71040180, 26006221),List(6218536, 51203601),List(83467643, 39533646),List(57936632, 4123866),List(55913372, 64298504),List(31632525, 27836754),List(11551536, 20640613),List(19479080, 56508674),List(50120329, 53395319),List(7098495, 77718911),List(32205836, 98488393),List(44151262, 97560661),List(58786569, 95833923),List(61012706, 70885564),List(11161376, 20287379),List(69604771, 6414178),List(17582396, 84649633),List(37376330, 80448353),List(89227635, 87218522),List(4797119, 2924229),List(58883057, 36608249),List(66990649, 80663741),List(85263461, 37920573),List(10979677, 81328685),List(85554016, 86092784),List(89001614, 2478568),List(74395884, 77720228),List(13480886, 29986476),List(6337575, 85906460),List(86836638, 30736670),List(28121476, 29272687),List(36334856, 1791995),List(55845779, 7805312),List(14976772, 85664100),List(44811266, 48276360),List(75012276, 74381437),List(66802122, 39906498),List(43430092, 78895052),List(56335933, 60362556),List(59126765, 16005187),List(47311700, 5269714),List(51100896, 66314686),List(53295017, 41677378),List(91524116, 38226305),List(65768125, 84287777),List(6529566, 49747224),List(87818037, 50476818),List(93257658, 36570604),List(45732754, 5355826),List(72952495, 72657101),List(73104170, 94356410),List(27176650, 93013755),List(45353518, 16463290),List(83749703, 66092249),List(12151427, 50422104),List(89210537, 42792006),List(66328600, 16209182),List(81452140, 81831030),List(21446836, 64235055),List(31319459, 16526699),List(52520025, 58474281),List(38111984, 19455768),List(16136253, 65159639),List(8736419, 60366155),List(85446297, 37185122),List(70792524, 30837612),List(82525088, 75008296),List(14413519, 66427004),List(5785239, 7678872),List(78636115, 45598944),List(78455362, 18949255),List(9552693, 12737016),List(62907963, 64839565),List(50300640, 44995052),List(12759392, 49516298),List(66225445, 38382889),List(74254542, 97046203),List(522471, 14715001),List(64529277, 21577548),List(85314133, 84276642),List(85525025, 78546292),List(98965807, 38111960),List(44836718, 12604356),List(73762254, 50258534),List(45555507, 73397702),List(42926021, 90321620),List(58265682, 86322706),List(95313445, 54038930),List(11169735, 77449627),List(24912815, 78393471),List(96356440, 97437121),List(1861480, 85474043),List(18141617, 51705582),List(66033775, 17124722),List(44352697, 21035493),List(78185235, 42868407),List(85090939, 60870312),List(6168182, 73829610),List(25153385, 18888357),List(35259058, 13671243),List(47870096, 87854025),List(29345191, 68077432),List(3692769, 97789831),List(75849310, 27892252),List(90986456, 23133489),List(51755618, 64106458),List(72727887, 79167925),List(34540663, 76090537),List(79593676, 83869848),List(51441478, 65331845),List(42409255, 33103288),List(6213341, 56992599),List(21181700, 26188481),List(69137292, 1196424),List(39688328, 865457),List(52795932, 4212608),List(68035803, 48983472),List(27941629, 47187400),List(39749972, 89443857),List(23024532, 82979359),List(2189850, 53058634),List(42384195, 60840885),List(12493700, 75902895),List(2463706, 66466387),List(59837134, 38418624),List(37436675, 67463670),List(9033320, 37342629),List(48735050, 56608813),List(28757810, 68363050),List(81050639, 61456701),List(96457246, 94448485),List(60524416, 18081250),List(58659443, 70698402),List(86496702, 91874928),List(57403033, 51228069),List(72880398, 39666130),List(65110459, 69287667),List(91433540, 95821660),List(83449419, 73813269),List(79295745, 62850634),List(75493577, 87074294),List(83620092, 32541943),List(96407534, 89144313),List(29773589, 1903904),List(973861, 56140897),List(29624381, 31722997),List(6027743, 15050377),List(67014772, 3836740),List(6642390, 66343544),List(25182974, 147013),List(98952285, 16794745),List(91548589, 40931020),List(88760052, 57000427),List(12483157, 19816504),List(51253657, 24618899),List(15439566, 44673418),List(26578046, 82858203),List(39111415, 97071412),List(47380859, 24389028),List(27986531, 68083453),List(7390662, 24374454),List(73764102, 12113631),List(33401139, 30312373),List(62051202, 31373494),List(55757185, 57113560),List(54687486, 65094918),List(92972610, 11238515),List(2711491, 69438492),List(98316012, 10443002),List(24511362, 88195759),List(31563219, 93367558),List(41871589, 91544184),List(96657923, 18918921),List(48307476, 53259825),List(44935243, 40263301),List(35075461, 61771570),List(23173331, 5436217),List(77426685, 91275473),List(81600277, 4833624),List(53054210, 8323516),List(97693035, 32498234),List(31132506, 39683015),List(80344827, 78963188),List(76242617, 26002154),List(84734150, 18204377),List(20399583, 46547118),List(65227493, 40911478),List(19084897, 89273314),List(59625509, 7472993),List(56165924, 67473348),List(36420535, 88328616),List(68334555, 38608858),List(74581025, 44361585),List(94486892, 6444021),List(34815068, 28435478),List(51969449, 88811630),List(96212990, 99446410),List(17943613, 78926439),List(26623417, 56143029),List(7414188, 79330169),List(70359319, 10325595),List(6549633, 4203071),List(34084859, 54062388),List(39816068, 89973970),List(75419777, 97527443),List(56950386, 96725673),List(12231903, 23909886),List(78506940, 66393007),List(10812210, 13333575),List(83557427, 79194714),List(47481196, 5622487),List(75488780, 99023624),List(56503164, 2218049),List(36237199, 39735715),List(4707935, 42054837),List(8710359, 26623204),List(96797615, 37372253),List(37790082, 21949907),List(62468148, 97586289),List(84613643, 84908017),List(8763236, 86415929),List(45540784, 2582425),List(9952794, 30255511),List(71349893, 73673947),List(20396141, 35329277),List(25772979, 10134042),List(39589995, 59436207),List(28428970, 69000235),List(82064088, 6804045),List(83294997, 1664468),List(59820794, 20355754),List(79418498, 42802527),List(51284699, 56357224),List(65446332, 88513395),List(65368248, 63111179),List(89693105, 54149391),List(18367300, 42527635),List(68814850, 90355759),List(73858118, 73844599),List(93971474, 424987),List(56068532, 27679258),List(45372810, 2601750),List(95347382, 88609345),List(93073378, 19015541),List(31540224, 69848146),List(40411033, 4300079),List(83140421, 59031170),List(99258279, 22752000),List(91082835, 70494667),List(1790198, 96789515),List(14362024, 13257173),List(35396268, 94004468),List(52163449, 63153976),List(56443649, 85083832),List(77989486, 89870210),List(17197518, 76147846),List(26744980, 3327556),List(5023295, 19088567),List(20473464, 72814419),List(52917190, 57343554),List(89634412, 35069575),List(93717932, 57925049),List(85591290, 30911507),List(7720272, 29738878),List(23459523, 74322852),List(92871648, 29428815),List(79541946, 24056612),List(86313911, 96229823),List(64024097, 47020368),List(64756100, 86179732),List(33693183, 40291904),List(90512766, 64858146),List(15920161, 14771420),List(97568860, 69994829),List(3147527, 20920980),List(2303309, 66748646),List(31719751, 59870161),List(55953196, 42362679),List(57092847, 35487380),List(95933043, 43937216),List(75523935, 78450035),List(4033738, 19479066),List(33735303, 56100366),List(44889574, 55872963),List(2183142, 1244800),List(59868412, 78737713),List(66501587, 71019051),List(46450168, 96325195),List(7244006, 44901801),List(8625580, 22078059),List(4485435, 18526779),List(86933775, 38772795),List(83000228, 35526805),List(73664678, 50673180),List(66187294, 80681436),List(28149327, 39190505),List(83804781, 83726026),List(56009422, 24988501),List(11278942, 38677041),List(65391593, 76516573),List(21579706, 8868797),List(22935437, 81536541),List(10841320, 13476105),List(53235735, 36394182),List(35371727, 90013761),List(2946772, 29561073),List(45756240, 23477618),List(45331376, 62968304),List(5590468, 13304655),List(50475005, 98658882),List(29561652, 96558590),List(7694405, 28733909),List(41899711, 88648471),List(14572752, 90995850),List(61281118, 97323119),List(30352255, 68048675),List(54346948, 62788297),List(67775129, 16260371),List(63597695, 51538251),List(47055039, 90339999),List(1843044, 16487215),List(26911377, 13437411),List(31390149, 74499486),List(73151968, 78507978),List(76646492, 1783789),List(11007290, 25124959),List(38439581, 7201326),List(35023252, 84646851),List(42752138, 79672268),List(71098512, 63103122),List(83905618, 6488838),List(47469456, 83885908),List(49339158, 58293701),List(70332404, 43232975),List(42307829, 16696195),List(86428154, 42905015),List(20292542, 25719132),List(68987093, 69852356),List(69180718, 15354653),List(75808305, 40209824),List(5409040, 16667131),List(57069418, 14919965),List(67485911, 43809971),List(4267193, 63720232),List(78824921, 15393830),List(96998062, 63622446),List(96063519, 69405243),List(44417234, 44276798),List(31989342, 22459315),List(71405727, 60932466),List(8348169, 2015429),List(15847522, 47776474),List(69525928, 8014074),List(60603987, 88856818),List(96791396, 6521283),List(18547846, 43312334),List(19563368, 78773008),List(98256837, 48386357),List(16852244, 35728265),List(42548904, 51501843),List(23513925, 96461039),List(15456328, 42448422),List(5207805, 14238743),List(42178139, 95189811),List(28949579, 2729780),List(83120111, 14047454),List(82238880, 34567035),List(40691149, 8875317),List(31796415, 84352727),List(46252241, 78066964),List(81839819, 57119313),List(8378060, 43952852),List(59576091, 94986693),List(89262051, 11621632),List(49838249, 96725450),List(90566913, 73973115),List(50702747, 2351568),List(33828994, 75123387),List(70196148, 30929848),List(66245753, 68264563),List(54090588, 84211516),List(62166808, 44821160),List(9186796, 59750425),List(59471924, 6094075),List(81963819, 11513929),List(745530, 50832546),List(99982295, 23616851),List(70314613, 94769825),List(15720718, 17221419),List(88889366, 79520628),List(4423656, 42949466),List(2245907, 32067284),List(26867511, 2785887),List(66732886, 10091424),List(89512583, 94536872),List(77576243, 97248776),List(59986717, 15716575),List(22933038, 91228192),List(22103625, 25742115),List(6414912, 15737807),List(96364311, 99858557),List(38701964, 3787938),List(32908335, 34539881),List(41661725, 81094481),List(3182958, 12723353),List(9412064, 86007899),List(4569014, 50871914),List(89285339, 45743639),List(47928260, 67529483),List(54741267, 31867438),List(81746613, 97689296),List(70970547, 5627600),List(95738110, 16584080),List(63679500, 21239086),List(19627590, 6947489),List(86989655, 44737592),List(6781068, 10543055),List(57657176, 61730557),List(69632486, 11417317),List(1001012, 78865254),List(71605091, 81200643),List(17693794, 17972471),List(13326516, 18750518),List(40080920, 49070761),List(99460113, 74493806),List(79101328, 40105018),List(57576967, 33064512),List(65080031, 70667773),List(48170438, 36917396),List(26600965, 62745713),List(72881909, 50172430),List(2195831, 59021423),List(18872293, 75452017),List(8115800, 73146649),List(24052352, 25187867),List(8583236, 63675383),List(38816904, 54708867),List(52526797, 88496306),List(30307108, 66220469),List(28000967, 74688104),List(52301256, 44744258),List(99583060, 28732759),List(19547622, 92724059),List(69565778, 70197142),List(22867084, 43096571),List(92329547, 33544193),List(66042264, 8989476),List(14697198, 71709470),List(11389800, 95361126),List(539449, 15649600),List(52822750, 9217251),List(77176464, 46847730),List(98675040, 46875978),List(47778799, 84582820),List(80554290, 6336156),List(24878670, 49571547),List(70701956, 57808682),List(91308088, 54439558),List(12810599, 9760212),List(31977948, 67616318),List(26326482, 56910241),List(70413119, 69909803),List(15120960, 43971866),List(83522045, 84749809),List(88593950, 40163313),List(66060746, 1713749),List(36061091, 99619272),List(21538888, 48820119),List(7013600, 69039735),List(46951580, 28444377),List(96245125, 7769114),List(22315742, 47076117),List(15227929, 82555073),List(190195, 83272819),List(69012057, 29454698),List(38502339, 47005030),List(16904425, 65538024),List(61907783, 40269794),List(58178178, 56539238),List(77539069, 6870200),List(65873202, 72660314),List(90994628, 12496459),List(91036078, 15735882),List(87453546, 33296551),List(46303282, 59605239),List(13854852, 60841128),List(17299900, 28186999),List(75179441, 96606815),List(70007513, 3169769),List(89274355, 29972934),List(26655487, 9394006),List(75315439, 52158935),List(45416102, 83584227),List(78016589, 90653587),List(18033589, 18759077),List(60783029, 14378736),List(83675493, 25373457),List(19321901, 17513081),List(46895982, 27940751),List(24675951, 97494505),List(17181496, 98303233),List(18961670, 96100300),List(51029082, 76788048),List(72211114, 98926084),List(15741120, 8384168),List(24700691, 11358031),List(49244578, 31376409),List(33660072, 29447252),List(66515069, 62821903),List(28956508, 52837961),List(65457086, 46463746),List(83538976, 49573031),List(72048227, 83019670),List(82776036, 72141459),List(53475606, 5882813),List(23556050, 75907554),List(96785267, 86539101),List(30732956, 14551899),List(27483099, 34592671),List(88326945, 63044553),List(31686455, 17615476),List(42182620, 55696232),List(1815131, 79296112),List(95459274, 89898668),List(79144256, 15208984),List(75305945, 22159251),List(72091944, 84454904),List(37303458, 17446171),List(86185304, 80956713),List(6913671, 64047374),List(80216109, 55092323),List(6859277, 70453153),List(92039919, 98114360),List(75221179, 17267154),List(56674889, 53885566),List(75815089, 53008351),List(62420221, 88543832),List(64486676, 72012049),List(6607965, 99772567),List(91373903, 11233886),List(54420090, 20197759),List(23142698, 4726363),List(83805267, 73673219),List(96958965, 40866081),List(90754832, 41573809),List(74697825, 32956057),List(56104356, 64643476),List(9266219, 13546735),List(43279714, 55050113),List(85691827, 35066040),List(46453818, 88584100),List(15248386, 57718061),List(62328491, 43438298),List(19124201, 8763350),List(37708561, 2033102),List(72114366, 80327281),List(62562096, 94540582),List(91702428, 78082773),List(18739560, 93360954),List(66037606, 39024175),List(2718139, 37859802),List(99016906, 58590857),List(38862131, 1938128),List(86086591, 22867975),List(73685276, 17634219),List(69300116, 57745181),List(35771819, 71790045),List(95270088, 36055039),List(57499376, 84580348),List(19014942, 78084951),List(49399025, 23219944),List(61531897, 64080844),List(1607867, 760759),List(86047225, 60378027),List(33271487, 61256730),List(26430475, 266329),List(73830649, 93695366),List(221367, 43206790),List(43168534, 54408037),List(95077621, 98845836),List(22247926, 26640341),List(67244635, 69857006),List(42579475, 75853829),List(29068447, 2284556),List(10419980, 81364998),List(76920328, 80794645),List(78162462, 90732546),List(372369, 90003450),List(58670226, 82847342),List(46460340, 58816268),List(77904523, 68565140),List(15806046, 33344638),List(91181861, 77095027),List(56310172, 79127338),List(27030312, 97070118),List(70374866, 22376287),List(74108271, 74969526),List(28902967, 20205999),List(73290824, 16943722),List(12203724, 20586048),List(48754821, 32434785),List(56527390, 93725830),List(45777076, 24376730),List(3411106, 23777385),List(14473472, 29499525),List(86707582, 55139535),List(79022644, 42822804),List(76591912, 10933693),List(50302215, 29647707),List(74350764, 54178506),List(24942852, 40357727),List(42285947, 10562498),List(13753298, 50525609),List(78330428, 3468890),List(16680926, 21143253),List(64807226, 72240604),List(14031457, 63758783),List(91567720, 73056677),List(68824843, 45926097),List(83344393, 71615258),List(54203646, 30788839),List(86381438, 11979199),List(84175215, 95538089),List(20006189, 27602306),List(69999286, 48769088),List(32569823, 33839122),List(79691693, 95508913),List(13803553, 20594751),List(10036795, 96273499),List(54263395, 90184103),List(85307544, 19228630),List(95717286, 97776655),List(42520427, 79686936),List(59864314, 53140849),List(76283370, 30653764),List(1618509, 44263367),List(84137144, 68481620),List(50392889, 50354439),List(17358013, 6534957),List(28415215, 71173247),List(41039029, 47402104),List(97899285, 97681976),List(76088370, 94561185),List(32879069, 23123148),List(44990037, 86231843),List(27356685, 35601749),List(74853635, 32124297),List(1154501, 40815183),List(78802787, 17986176),List(20544291, 67975503),List(80982939, 77281869),List(33691766, 84326588),List(36289161, 94864093),List(50415528, 32562957),List(31609668, 1691260),List(98800533, 37444905),List(64894, 79394847),List(53525427, 57738476),List(2436787, 48048326),List(70549205, 32139482),List(91641811, 87083491),List(96121799, 19203463),List(85247032, 73158218),List(29115456, 17667437),List(32364842, 71161208),List(33874226, 90224799),List(26728796, 63120026),List(70586680, 41971173),List(19275934, 88526748),List(31847638, 79802038),List(12301733, 4655260),List(23471821, 46174161),List(99239914, 84751663),List(23771923, 32079002),List(74082570, 62521061),List(88917077, 32082086),List(34734347, 81387284),List(11889878, 21059160),List(64555177, 56878809),List(44962604, 38522963),List(26710625, 5205947),List(6369866, 63678401),List(84768350, 11430275),List(28299317, 77536890),List(9599479, 37367929),List(64566967, 66501773),List(10240979, 73967272),List(87827787, 55642909),List(73869903, 75731433),List(13512577, 95590158),List(29935599, 54135491),List(56223768, 32981638),List(1734710, 10521325),List(86271338, 5724136),List(11433338, 76919390),List(26565538, 97312542),List(80014979, 67092322),List(72623377, 16222074),List(26799276, 36976518),List(83373802, 57953522),List(63685092, 19237583),List(89518012, 33005425),List(19121240, 32864332),List(39440747, 65309216),List(84482925, 44634380),List(51873411, 43162347),List(34771951, 36820631),List(41076778, 35807815),List(69631349, 14265434),List(97566469, 93394376),List(7805013, 34874924),List(61430179, 52519061),List(87709843, 54415492),List(80098372, 54528648),List(11976184, 67369047),List(73632465, 78104133),List(27052614, 93467564),List(64153629, 2492829),List(6466925, 91210369),List(55478465, 6710009),List(45769796, 72902579),List(83664591, 54322927),List(10094052, 46617643),List(81514417, 99536869),List(89429768, 33930636),List(84868589, 96099150),List(31878748, 71783841),List(66052280, 52762339),List(9011048, 36902641),List(53922452, 44406725),List(56956122, 82864823),List(65040996, 6056523),List(60644297, 26845096),List(71151242, 54307639),List(89907010, 96555058),List(47114284, 92176548),List(85782750, 95404520),List(26771652, 51206793),List(61835436, 59168042),List(81479727, 38052324),List(59620824, 57391846),List(44250962, 14233760),List(45962154, 72231985),List(98292136, 81092493),List(40379129, 2789448),List(97607141, 51504284),List(98264400, 16089847),List(16666482, 8989942),List(92766272, 28216301),List(39636400, 61890436),List(65096870, 68199765),List(66243707, 17010732),List(83667422, 63767194),List(10383296, 7172242),List(81384235, 70799986),List(59640057, 73838325),List(87732023, 90006362),List(81690157, 16632720),List(52808462, 45112204),List(71664059, 70442070),List(14975930, 29913626),List(83259441, 83871615),List(66366643, 61688362),List(34381142, 24463892),List(16728366, 62013730),List(38084329, 58095990),List(48326381, 28682339),List(85910561, 56888136),List(63900287, 99604901),List(58994726, 62003860),List(69999362, 2233982),List(96114241, 9823923),List(85539958, 20477881),List(45665258, 29784113),List(44763731, 20834888),List(32667563, 16711536),List(40111357, 94161886),List(79717502, 91914162),List(31445584, 65814226),List(23458744, 77971352),List(62591983, 31807956),List(22458069, 67770809),List(25742566, 72465317),List(64860698, 20753732),List(94070360, 92091024),List(54016347, 71932746),List(88501772, 62013301),List(12389104, 34778235),List(49580519, 7254541),List(1569738, 22726543),List(63420704, 31797309),List(56834466, 16907523),List(10298608, 90683692),List(85759715, 55890456),List(47779462, 36652378),List(49299021, 69857165),List(70058993, 35410214),List(59223562, 83683977),List(87699871, 70146188),List(5961692, 3773784),List(89560578, 15107859),List(51936271, 82777044),List(61491879, 32605816),List(70483509, 26434846),List(84730821, 24679221),List(39243921, 2721290),List(73467243, 48577900),List(15562326, 27810280),List(96071656, 2907294),List(37636546, 12935607),List(34861743, 34256972),List(40920896, 12830216),List(49684233, 57550425),List(52870611, 24188666),List(15992784, 40107021),List(7581978, 74879059),List(42181668, 90344485),List(86833818, 9477179),List(54495566, 86213483),List(1896919, 27735903),List(76213501, 60940545),List(97612532, 10417872),List(27576333, 29887715),List(730389, 28915270),List(87095024, 51866405),List(41666270, 93402551),List(8573649, 18825915),List(5954416, 43481254),List(17349990, 3540609),List(76890650, 69502099),List(20244282, 58020485),List(58000236, 54776542),List(13480037, 435786),List(90711776, 27942144),List(83283046, 13723135),List(67367348, 41941523),List(31842325, 62004924),List(31080203, 32866124),List(53078320, 96336422),List(72827507, 79714108),List(7691019, 5466533),List(42856038, 56791611),List(16853280, 82784183),List(74136681, 35302945),List(26549507, 44804733),List(33077833, 59058406),List(63332500, 20323157),List(81400730, 67173987),List(44162665, 54931710),List(60273440, 27331510),List(91496064, 6795387),List(74807607, 60805741),List(95544841, 28079916),List(19381970, 78296431),List(28370243, 38961089),List(44557809, 55463327),List(99502028, 60013884),List(34943651, 16379642),List(5843648, 68209307),List(15364404, 53278643),List(11788533, 11173862),List(72628323, 36897860),List(48731428, 10289903),List(72238002, 73889866),List(69722824, 89013953),List(38899145, 97074632),List(6238385, 83312042),List(56928119, 44257426),List(62379203, 92554689),List(96238017, 73866175),List(97227929, 60425991),List(59528098, 67229240),List(7836432, 21913360),List(57207078, 82208313),List(67554989, 30003535),List(48068113, 87471617),List(44929792, 32589231),List(21732281, 85250646),List(77786391, 414663),List(90019251, 56404612),List(62343134, 53339291),List(19724162, 3140042),List(12341252, 86498168),List(33325932, 31399181),List(24402108, 14606253),List(84354278, 54092530),List(79385827, 13614571),List(91380462, 63945640),List(23470477, 14919303),List(72600518, 54293870),List(98505267, 46299169),List(24642384, 54824242),List(64737892, 34565184),List(46860906, 42843562),List(44413637, 92307877),List(17910127, 68014226),List(20232072, 37480438),List(22796240, 66585557),List(51847804, 71642124),List(34025147, 88135944),List(36955475, 84470523),List(65268184, 15982280),List(58215498, 63565244),List(61085583, 22724364),List(88675252, 62772750),List(428160, 94237959),List(16334715, 1949356),List(29902302, 25284252),List(70154535, 96263792),List(80707030, 75859806),List(19839929, 87874785),List(31154748, 9505329),List(17676633, 58005687),List(20996165, 56219491),List(88641373, 34773981),List(56226099, 27559004),List(65652165, 82042067),List(91502685, 9525130),List(71270228, 98634395),List(82683143, 61945582),List(28805383, 49545180),List(92196802, 20717913),List(9366761, 73786941),List(84572561, 38055033),List(88225264, 78679735),List(76674100, 84514788),List(33171153, 47075738),List(39263231, 49690073),List(12561416, 93363953),List(70110492, 17469836),List(90663982, 41915983),List(14239152, 54248212),List(62875387, 58121986),List(91658003, 78633476),List(25270747, 1864897),List(22700554, 70345987),List(73187523, 11097884),List(74728431, 58594424),List(51583243, 14460309),List(3562157, 77424350),List(57516184, 84633794),List(57658210, 7478423),List(12795109, 90217217),List(1116301, 2808500),List(25796477, 4085263),List(92354106, 99366732),List(76464988, 17468437),List(92365859, 80228566),List(1278180, 54444151),List(65104754, 9195288),List(81438048, 90999389),List(26688377, 71087718),List(1782712, 62834108),List(76996468, 80751390),List(54002880, 13882785),List(817006, 87573402),List(57997323, 83958401),List(30584883, 92366996),List(63205863, 64177156),List(41086200, 8720493),List(50431284, 5201156),List(56620875, 1832518),List(1652812, 90284840),List(94574142, 55395417),List(28677786, 25889374),List(83211538, 81033562),List(97659618, 10228897),List(46757455, 55169884),List(87962843, 50845030),List(49087149, 82528601),List(91809051, 50310028),List(66800928, 68099987),List(98386177, 62297842),List(25094127, 45669310),List(17936177, 24095882),List(83911949, 84320539),List(37659650, 62260698),List(43274300, 1231666),List(63775710, 57570790),List(68150644, 71283236),List(8839774, 79416480),List(16295239, 21674848),List(14774246, 25460622),List(71627087, 91983800),List(94241062, 80856306),List(16165369, 15840700),List(39305535, 39690356),List(45429079, 86900532),List(10211791, 43174352),List(38509751, 16432492),List(46420422, 389267),List(3917448, 33857148),List(24799664, 9789631),List(86380178, 42092494),List(32381848, 6144023),List(68759524, 54598435),List(86296282, 60825482),List(53124733, 80795968),List(29725105, 60869344),List(54652685, 67640283),List(68859250, 16156520),List(23367812, 12561512),List(19534790, 18325291),List(50011727, 9727595),List(75725073, 96920057),List(20345300, 65234843),List(76987279, 65544655),List(22336142, 80706332),List(75203496, 46216182),List(21942569, 45932249),List(6850754, 17826434),List(48327523, 79555886),List(17981250, 81024320),List(33759290, 63772217),List(54692062, 32261633),List(94649614, 69860443),List(56284642, 78474350),List(86695239, 52680194),List(10865853, 98479544),List(23504184, 1648405),List(16037873, 64868979),List(90777733, 74413153),List(39188476, 56202409),List(45602234, 61485031),List(99476216, 88665486),List(56400053, 33296406),List(55064958, 91806142),List(69354088, 26325901),List(67498546, 24858734),List(56681196, 7053731),List(62807887, 83054852),List(99370885, 28219891),List(69123542, 24639724),List(2455998, 36871322),List(70130573, 24469715),List(23103990, 25283176),List(28114524, 23518223),List(52536170, 26446985),List(55386733, 88718984),List(81426447, 99823438),List(29012530, 6682409),List(9313296, 73306882),List(34230509, 85494072),List(73674093, 37201657),List(96240676, 68763729),List(50931398, 57344566),List(95686671, 84373393),List(5341255, 45091661),List(54639993, 49272151),List(91075122, 75480749),List(41148584, 57017576),List(44898270, 83197779),List(13063984, 14510340),List(52630997, 55343036),List(32745688, 32603319),List(57940931, 35777694),List(67699674, 59627946),List(22019390, 70991039),List(72627889, 64070802),List(81106329, 43069433),List(12710932, 26342046),List(18176040, 89434922),List(28137568, 94343416),List(44934866, 60872483),List(71382328, 88516918),List(53407350, 41846598),List(65665492, 24520195),List(26584802, 93091725),List(58845204, 32410559),List(81661606, 41229919),List(95459735, 60843957),List(52040181, 25390142),List(49076586, 11330428),List(25129402, 71790025),List(62632658, 34212136),List(7111839, 83460498),List(50953180, 4903384),List(66327192, 72220428),List(30259205, 3849957),List(71025792, 22723626),List(98092280, 95293713),List(30514372, 11659266),List(93230884, 83079017),List(84679309, 98137136),List(75905391, 67624843),List(78362074, 51003862),List(44712210, 14832122),List(60202574, 80364230),List(47781947, 85419566),List(66524215, 53423779),List(66525246, 41718564),List(3754598, 78623592),List(44151762, 21053999),List(42640849, 21120005),List(68089503, 18274046),List(70352383, 56674470),List(23014110, 26222292),List(18881663, 11562089),List(68062030, 85119204),List(69193337, 19016990),List(42160556, 78248237),List(85427066, 47274564),List(46083719, 61484726),List(44140787, 56252237),List(45039, 62440465),List(46008568, 96160145),List(80806747, 53534194),List(88625051, 87178956),List(2774546, 26147571),List(98305260, 45597510),List(11737836, 19100353),List(559006, 92982399),List(45310148, 49933392),List(88142095, 11645219),List(43859110, 63819831),List(56194868, 26853630),List(10742482, 43747747),List(89604346, 48746470),List(43598016, 54429076),List(61766994, 11271162),List(98976069, 38635100),List(39602206, 45545871),List(69063934, 44983000),List(68323322, 16707948),List(84669481, 81258864),List(74442591, 80079648),List(38432694, 22277264),List(39696328, 58963242),List(38271938, 91911460),List(91526866, 46270028),List(3721357, 36448787),List(87369440, 85482379),List(96881720, 36984734),List(24463703, 76719427),List(20464379, 16688373),List(10051484, 47703747),List(82205311, 2869286),List(69886870, 61063487),List(25186599, 76457994),List(42591763, 71197270),List(9145120, 49658575),List(22331755, 89423172),List(52525888, 8931999),List(92058163, 83527698),List(48944634, 23666017),List(67267921, 5575749),List(52116266, 3546225),List(13125639, 44989648),List(94842316, 71536518),List(68645136, 64728805),List(26969614, 63206057),List(74497942, 7970580),List(50602045, 31403384),List(12284362, 64164872),List(94761815, 36834043),List(96664202, 58481806),List(10034235, 78634167),List(61351089, 45972172),List(3912778, 93202437),List(12103044, 28867775),List(98571324, 90729311),List(2826095, 25109513),List(10374211, 55536982),List(47806629, 55863613),List(42456415, 62447972),List(78832113, 40965166),List(41720396, 59969218),List(85883883, 53004736),List(58291537, 11272456),List(8183172, 24935966),List(37728223, 67466820),List(52846348, 23571552),List(96156957, 65883508),List(43972247, 88444528),List(14671755, 81055793),List(47658443, 49497981),List(91984826, 99663689),List(84334646, 46674129),List(86189366, 64965604),List(19340183, 16704699),List(63763684, 27861489),List(30397913, 84581520),List(8203220, 36620443),List(51616905, 83317021),List(14485485, 10420734),List(31264517, 32235422),List(61038634, 50578696),List(33605005, 78484819),List(47062910, 4857029),List(83915956, 56006711),List(37848367, 18293691),List(98253659, 55605405),List(84671354, 12440031),List(83029684, 70246653),List(15637414, 77678972),List(28389763, 64896402),List(83965743, 59932901),List(28167476, 17619381),List(44883107, 77633729),List(18403759, 33514652),List(64770874, 5560375),List(4886594, 26511049),List(38252852, 7890981),List(35744839, 18268568),List(24523646, 85733561),List(46952474, 91686235),List(4098120, 13280032),List(39271991, 35194336),List(82905776, 83755348),List(92843321, 86164923),List(20336037, 39699356),List(97145856, 61749549),List(41861809, 28841912),List(57962320, 60267258),List(27142629, 61254384),List(15414554, 77437761),List(58916955, 51341446),List(41010987, 93354140),List(31050019, 38515666),List(77338075, 96762179),List(81648575, 17284802),List(20931275, 59575179),List(72489376, 50381155),List(31974026, 79633828),List(72064966, 18944577),List(65567603, 47296423),List(92094038, 68713975),List(11992605, 10819258),List(73629011, 73829187),List(7627633, 21800540),List(71523953, 22277102),List(7214413, 35602958),List(55264583, 778377),List(26554796, 61991299),List(69185898, 9948742),List(90900580, 32687474),List(87329851, 11902912),List(7911365, 74794213),List(20885578, 66421183),List(66122815, 22852339),List(78386860, 55837090),List(5565533, 90483282),List(14279311, 34677099),List(12549300, 85694910),List(5762116, 50126552),List(81882905, 17157797),List(71777732, 10680892),List(34796613, 46843452),List(16703563, 61897079),List(45648921, 24440349),List(19972450, 3594862),List(66256252, 841723),List(91451820, 86679073),List(85431245, 89141252),List(47319327, 8529273),List(1654460, 53582412),List(80022242, 72129773),List(18098004, 46687039),List(39320858, 96282013),List(56668915, 56204212),List(91248489, 68994499),List(41593124, 4228817),List(16353974, 9259457),List(53654137, 21414867),List(13550571, 96963376),List(57319992, 31655418),List(18929751, 68631129),List(32356606, 62775684),List(30307773, 88521014),List(17554774, 33134959),List(22293696, 72791329),List(11978557, 79920421),List(65734148, 60056148),List(49613464, 79317328),List(43828768, 75740010),List(54406368, 20653558),List(52122210, 1148851),List(34610348, 84384201),List(16833998, 9762675),List(9989447, 21367066),List(92792365, 44581197),List(79199823, 86233373),List(1062713, 74036238),List(2882012, 79172273),List(83192577, 17479302),List(39091213, 29670469),List(13327522, 49998784),List(90363127, 37977047),List(40896899, 78174673),List(19428892, 55712541),List(61885185, 13041385),List(81714025, 19305635),List(92610750, 13898585),List(18673701, 11198233),List(37254569, 92690136),List(95595775, 42138065),List(15300401, 64394397),List(41171755, 45447646),List(50593611, 11974119),List(93336234, 34888008),List(65710117, 43978289),List(59269627, 30948225),List(82223861, 81586511),List(15620945, 20566476),List(14526464, 24304888),List(13801161, 83612857),List(56234101, 64767238),List(9962628, 74655148),List(32402497, 72077729),List(4688556, 85502358),List(4256724, 8737299),List(81587700, 67446133),List(53743659, 5384905),List(1368819, 2665124),List(72548177, 39075345),List(33112556, 15328634),List(34413739, 48217902),List(75113954, 3275268),List(11784546, 61567199),List(10510258, 73959213),List(85592904, 79336101),List(53279443, 11105214),List(90516884, 69238269),List(35316626, 17471684),List(25202085, 95973077),List(24153910, 19334286),List(27797802, 36534682),List(68616099, 19496678),List(74024717, 52340324),List(37564601, 27571741),List(26462174, 38050854),List(64431984, 45590803),List(71015634, 37708202),List(23816865, 73958955),List(20249027, 97402202),List(5080488, 12430311),List(12886165, 3406375),List(45452111, 18911443),List(31962111, 80482413),List(1263942, 84706760),List(8317863, 96202379),List(25697268, 72689356),List(71977505, 99937251),List(19542123, 68203856),List(58832102, 34843112),List(78763487, 85486198),List(62981168, 18414594),List(21619985, 31861053),List(91278136, 1953421),List(85016463, 7823662),List(88146411, 469619),List(67048761, 77918276),List(99593248, 76844871),List(7478915, 11982904),List(57943320, 16057332),List(19180363, 28816392),List(40020672, 95559102),List(82976368, 58807916),List(93181388, 36943776),List(61152766, 24439428),List(35591577, 79332703),List(97256563, 83018868),List(71356049, 7867393),List(61520038, 15440921),List(88575483, 71045727),List(87603868, 71847249),List(1949388, 96435425),List(49162159, 16528853),List(18453606, 64217217),List(46530282, 82560621),List(93581441, 15380794),List(15857955, 67815928),List(12524911, 59639712),List(20774233, 47626228),List(4779366, 61448473),List(52845817, 47904064),List(98322818, 42335517),List(27018814, 73178887),List(27237607, 38586578),List(64771410, 81416064),List(77132164, 70242875),List(31589392, 95170524),List(49148510, 80601724),List(62825598, 62076386),List(67613582, 62603539),List(1747218, 71026091),List(25675713, 66597791),List(78078487, 9852879),List(50638432, 47831195),List(648334, 37571114),List(83947208, 19561053),List(67428964, 61822900),List(57702076, 38858735),List(25767614, 21367052),List(7938024, 84644815),List(9201897, 71387986),List(86825608, 56930604),List(28181651, 68731877),List(4173556, 11181811),List(88871532, 31040100),List(98734047, 14672227),List(38027629, 29267989),List(24285452, 54551158),List(93823474, 21763538),List(28872527, 30232842),List(76936812, 76774004),List(52782421, 97071021),List(71360305, 48881770),List(7904729, 48919457),List(91150767, 34688748),List(80740692, 39721268),List(52533632, 57928020),List(16325067, 52202353),List(14932583, 6286426),List(31383324, 79772961),List(16323482, 69405626),List(95874871, 20001758),List(27482620, 62362002),List(73540078, 15865558),List(60211556, 10926227),List(45700288, 5721954),List(14266294, 81515901),List(77562028, 7006464),List(79562185, 61683007),List(34876713, 36837318),List(4611173, 55484743),List(14412788, 62944539),List(20066184, 3892421),List(35759428, 52030830),List(76979294, 67324496),List(4912942, 27820300),List(97030143, 97238531),List(49693861, 72454532),List(51007242, 4642129),List(71717034, 39603313),List(58886837, 10169698),List(9382813, 97475699),List(63769433, 17846269),List(90449599, 68622619),List(52302287, 70347557),List(11068282, 60025737),List(95825388, 49366738),List(19135034, 28281328),List(68418534, 42684509),List(36399802, 21208420),List(98666517, 29958720),List(7096094, 13292474),List(91670451, 51695064),List(60771185, 67586088),List(64558202, 57500860),List(23484109, 87133930),List(44603193, 5803647),List(40960122, 55128598),List(80630418, 82904227),List(34370832, 27736514),List(42859016, 16024357),List(56448168, 46421338),List(69846030, 67769792),List(25242392, 72962024),List(30454568, 2275154),List(25367879, 69984533),List(67831641, 39379046),List(29737190, 48866502),List(5246183, 87433537),List(10507170, 24765890),List(16533527, 43993069),List(32610216, 85901962),List(33057271, 75235169),List(32230178, 27787341),List(38695713, 51392994),List(72414700, 67633862),List(827415, 79953424),List(210630, 52591298),List(90501326, 19702728),List(60965090, 33686190),List(49414296, 44158349),List(89498288, 42237436),List(14863461, 1548661),List(52245672, 51972866),List(56479396, 45347579),List(75909762, 21006699),List(34511773, 90706899),List(87230287, 46801812),List(80977917, 1285438),List(24077944, 5322488),List(82277170, 21574880),List(72775158, 20047129),List(21175276, 47988455),List(52746775, 12578005),List(40494370, 31166505),List(93271105, 88374280),List(36482253, 20412358),List(45365259, 23264026),List(29974296, 7127531),List(15404459, 35728520),List(91426808, 23412278),List(62062337, 29621933),List(73934345, 93162348),List(48940855, 33550917),List(64324254, 50594832),List(36934512, 68124045),List(79898142, 44218232),List(69957163, 85365356),List(79814377, 40175470),List(45621167, 5476712),List(13775975, 10341067),List(35637618, 48955491),List(69632157, 59630665),List(83773829, 17820433),List(16266440, 87355065),List(12997908, 9181827),List(27753024, 9947029),List(99926313, 62330567),List(36010126, 20769936),List(89593301, 68280336),List(15440810, 84476304),List(25483102, 22685605),List(30007631, 59694736),List(79758705, 12037969),List(21753043, 80696795),List(74257389, 21348859),List(25549677, 42819496),List(78316190, 12957342),List(1054064, 73945334),List(727184, 23622731),List(68984484, 33892271),List(86461359, 60037289),List(5735198, 72355070),List(60754350, 43635631),List(49815223, 75458685),List(65120040, 39337961),List(89904156, 26307291),List(26850915, 90377884),List(23058835, 63473259),List(27248977, 86964063),List(71254983, 47876988),List(28441507, 85017793),List(94725986, 72817101),List(1463353, 53384545),List(53395836, 1343243),List(38566295, 24335141),List(77155160, 7926454),List(80099701, 78362453),List(73399493, 7462449),List(82156099, 78401199),List(20117108, 94451676),List(95203196, 77422090),List(62639144, 52471223),List(39901556, 70413850),List(49913552, 72187035),List(70757250, 50052528),List(92120143, 2247186),List(45086282, 37225204),List(79314492, 58014685),List(83082886, 48428715),List(22886280, 40969738),List(96488516, 26619619),List(44311480, 89818775),List(84857835, 32094875),List(98116166, 78862502),List(69526783, 87202929),List(23166828, 60114842),List(43727763, 1583975),List(37839192, 69577945),List(84692718, 90153505),List(263513, 22447433),List(86356708, 31994280),List(98750977, 60089934),List(27811384, 17069594),List(37754294, 13693867),List(9441003, 97042922),List(79095339, 81113543),List(37153117, 50563927),List(26124064, 35936135),List(73672194, 83372110),List(83006854, 18923075),List(54208977, 54707705),List(92280143, 73189938),List(21069247, 58514827),List(35638448, 27406499),List(8447059, 95004561),List(64963158, 3878801),List(99758563, 73303344),List(39011711, 67385000),List(34300119, 44841407),List(62734672, 94130348),List(41572971, 97245638),List(95715903, 59410818),List(73813814, 99348077),List(50241576, 21893105),List(96625665, 53494625),List(5258287, 87316262),List(2534647, 87912685),List(47639916, 45653156),List(61669321, 40867482),List(97118550, 48384540),List(80493401, 11572824),List(11829978, 19995260),List(42690354, 70734975),List(17207066, 98807138),List(98766344, 60466120),List(74669907, 48915691),List(19255346, 10776853),List(62576108, 22018333),List(7436667, 45998550),List(91234243, 58074864),List(33938864, 43300661),List(17305012, 5229960),List(71861551, 54611325),List(61603962, 80700109),List(49788571, 69380905),List(25929173, 77398798),List(32643286, 10187410),List(95265180, 26965156),List(81439215, 71534582),List(59365062, 55010569),List(8526899, 15979704),List(7848664, 86266770),List(42282667, 55719921),List(80555309, 52349585),List(84481193, 65870396),List(5209410, 92000609),List(1846227, 9753563),List(25006417, 21120732),List(30186668, 66476751),List(27129117, 3386455),List(80406762, 87333998),List(35085487, 27131130),List(75042550, 7875860),List(61150593, 2749496),List(11666805, 82417594),List(97071323, 52431948),List(29354651, 71895795),List(11226018, 67535074),List(79540664, 85146784),List(37844154, 62907760),List(97358725, 27703080),List(61152222, 51299527),List(73835336, 1073067),List(38932551, 52579435),List(82758973, 73301938),List(25149586, 94154015),List(31294713, 56728413),List(6770579, 34376173),List(94124908, 82746430),List(51139243, 64760619),List(78170662, 9372013),List(29306083, 95177189),List(49872545, 85171648),List(82637134, 72247047),List(51926577, 28044483),List(37863067, 72469934),List(92448098, 52334431),List(56109114, 61122242),List(52618802, 78207359),List(23027512, 51524013),List(11922501, 37059689),List(97925227, 27134597),List(89634388, 91854425),List(8756921, 60580053),List(97766346, 27272092),List(14250102, 87836653),List(30629845, 81022511),List(79799805, 62651892),List(58512500, 86125646),List(57054933, 2686244),List(22913913, 54899408),List(81840799, 29762337),List(76047023, 97385669),List(51432087, 37571054),List(66261527, 49366827),List(123303, 29888504),List(25336582, 17791275),List(5813707, 21313890),List(25271594, 26830399),List(5710059, 68771003),List(45408073, 87275118),List(50213025, 87001327),List(31092223, 69572882),List(10347220, 20130149),List(72740175, 17961921),List(23897910, 8130072),List(15609516, 94629697),List(52300321, 48339970),List(98166019, 98417165),List(50671563, 85766471),List(78137886, 13916936),List(6996815, 39147713),List(46350284, 61980542),List(34459710, 67073253),List(28766801, 34438898),List(10128656, 11383978),List(38479492, 96002990),List(83213353, 41206975),List(95436458, 98712237),List(68220577, 4214656),List(87311205, 37969255),List(39921201, 37941000),List(83375664, 73363443),List(36432826, 70013334),List(65895797, 34789336),List(34009921, 51387471),List(65315825, 35454135),List(5643274, 90274493),List(68960753, 85785161),List(21346488, 62388889),List(70979277, 31407019),List(23392833, 65730644),List(1629631, 15553101),List(36357180, 69945568),List(59891068, 49720786),List(68730163, 77674539),List(77206988, 56936449),List(41393069, 52056090),List(91376903, 80218706),List(79013749, 46806401),List(78423203, 14198360),List(29456420, 41128270),List(13763272, 63771480),List(90648859, 2046170),List(84433951, 50060145),List(64601100, 81484719),List(6867596, 19401736),List(12954035, 86083041),List(984909, 58767483),List(6141313, 20483747),List(34393317, 85006184),List(39083406, 35495433),List(96136807, 28527402),List(22762914, 65050465),List(17493371, 66377844),List(82228957, 56710108),List(40512714, 82446529),List(31222068, 50108677),List(19569458, 73534696),List(4335733, 88238694),List(65517704, 85749457),List(78290286, 39277748),List(12313606, 6198802),List(33695282, 88751206),List(70742981, 60209318),List(41233538, 42106432),List(9123650, 1557812),List(88307639, 47236128),List(17451262, 72648619),List(91714133, 56131337),List(46150452, 44904102),List(41339948, 88516136),List(43470561, 59714839),List(28404620, 2827443),List(19667814, 80641729),List(13228418, 88475726),List(38957453, 3596421),List(99329166, 61973925),List(75714146, 81819264),List(21606010, 15650248),List(17861330, 33958271),List(40933518, 65403965),List(72826181, 16244034),List(70053721, 23138266),List(53660308, 46553345),List(26776486, 79598334),List(53755060, 92260324),List(49295245, 7815444),List(58170695, 86887515),List(63759911, 23816397),List(93586361, 40110362),List(82893425, 51297174),List(90007272, 977557),List(21894522, 37072971),List(32339118, 31220454),List(87385613, 59938412),List(11479298, 35448352),List(60051924, 31188583),List(26923645, 83718426),List(24878037, 69339833),List(30412838, 46472602),List(22743061, 96017950),List(13437, 208514),List(56861587, 4569046),List(21141855, 34190273),List(36684966, 52840520),List(86733337, 67061918),List(16923056, 96216515),List(49094054, 5711600),List(86420691, 74497123),List(76288584, 70190857),List(15760371, 90951131),List(35373591, 47527469),List(15892346, 31359322),List(14971402, 89835941),List(70040750, 24675744),List(67468371, 31207992),List(200494, 12714747),List(34672060, 85384811),List(87442876, 44920090),List(10241270, 11360804),List(2909466, 26480864),List(97992508, 62199174),List(71938005, 28446402),List(23869576, 67883470),List(52830214, 92000243),List(75749284, 32573460),List(46315859, 6909098),List(39885226, 28328308),List(88262255, 67966708),List(95659056, 52417618),List(37789305, 64441253),List(99992840, 44576486),List(24731642, 636076),List(61587181, 28518176),List(70793035, 62550793),List(40379708, 10446422),List(77507665, 69275606),List(41792270, 33334550),List(3505459, 44455740),List(82269089, 50384904),List(10322694, 56242947),List(99760890, 65681285),List(4998441, 64122326),List(68613786, 45710670),List(82303600, 45480827),List(83932606, 70295960),List(72119171, 94723600),List(42961329, 20862338),List(34528052, 9796018),List(73249834, 23292744),List(75850830, 14645583),List(28290297, 14787312),List(68540672, 18874029),List(45007385, 32999998),List(82333360, 15751208),List(89280412, 10375324),List(92461683, 68083560),List(86648435, 95417220),List(74322709, 56140887),List(97901252, 58120566),List(83450874, 23617392),List(53293443, 76640056),List(4799620, 62143874),List(34461356, 5093580),List(19656894, 28271297),List(50328021, 82198973),List(18046942, 80690809),List(47744108, 83075828),List(54015860, 23533578),List(95292273, 16391760),List(75284315, 59702134),List(81900506, 13580551),List(74589085, 4478719),List(50007578, 39228530),List(67254283, 16005451),List(81693579, 28462019),List(40096671, 65653636),List(95753391, 27343827),List(80947025, 24624163),List(83407312, 7712443),List(1509218, 1408698),List(82216246, 7101330),List(31899007, 95344893),List(9143466, 65057030),List(7060229, 5018110),List(30927428, 63077271),List(96451304, 80794186),List(23540773, 91919653),List(93091785, 50055163),List(20461141, 23756831),List(10473304, 74674870),List(57978036, 14163342),List(14925674, 30546157),List(75017973, 78585498),List(13263720, 85123925),List(85449797, 87350159),List(82393757, 70590069),List(7613934, 98605176),List(50920419, 39688865),List(38694497, 41135067),List(55255205, 79050954),List(68373309, 88386521),List(71982840, 12736614),List(57588031, 39778608),List(67532627, 54377016),List(99211523, 90772927),List(81509758, 83144488),List(91755848, 66195370),List(9608475, 71551213),List(16456042, 23145169),List(84315237, 23663811),List(66314317, 59651394),List(24919178, 24317088),List(65130275, 33735356),List(45705372, 33959186),List(54007722, 65135976),List(30645799, 19460753),List(11107215, 636925),List(97073893, 17841655),List(11003727, 38486535),List(13043161, 2636845),List(1774943, 57807904),List(37939974, 68825584),List(21382563, 21669871),List(83105468, 53171236),List(14554067, 59147246),List(75949720, 19763608),List(29175675, 61729055),List(98276441, 63231078),List(11943263, 9253946),List(51758104, 10198450),List(86679766, 80279603),List(26058853, 73737740),List(23856427, 11229234),List(52271865, 70773524),List(4258594, 45330478),List(88487019, 55195957),List(58812782, 85371166),List(33674401, 5071991),List(52731520, 27874966),List(27501716, 421651),List(91009456, 62913185),List(80047106, 78748529),List(14134175, 2081039),List(20286448, 56496351),List(29213617, 41116866),List(98365, 93720841),List(13670973, 41234419),List(43916255, 47726144),List(26232554, 70843107),List(59864254, 11487820),List(29276881, 49905661),List(21516799, 31538019),List(40592128, 43056157),List(89286285, 52206919),List(75338680, 6480974),List(43003985, 8280461),List(3192915, 17257505),List(88353892, 98372816),List(13970064, 47034120),List(33389134, 92821955),List(89533050, 5112074),List(48363012, 40047131),List(48098603, 5713154),List(31846394, 37347236),List(49050147, 34968955),List(62590687, 45275345),List(39944424, 22887294),List(42718441, 99900299),List(87995620, 75048632),List(96565849, 73080799),List(27869468, 67040399),List(74613153, 58749177),List(13759255, 6834768),List(20670503, 7648975),List(98885665, 89194163),List(6226921, 7221067),List(69774348, 11326691),List(74788450, 55191915),List(67457280, 92741713),List(67151095, 89768606),List(73971167, 85325545),List(44374238, 76554217),List(82453839, 4451185),List(87499872, 65016012),List(43772226, 48416211),List(94661492, 34481750),List(46895184, 62618949),List(10874463, 22992528),List(98327554, 71354163),List(97245826, 18566158),List(96110793, 75429087),List(14973978, 72120213),List(13256326, 74183585),List(80682535, 92562883),List(69322127, 11775374),List(93010435, 71291935),List(20226148, 73806908),List(9916813, 72837310),List(68966895, 80026612),List(73314821, 5017957),List(1734120, 39826625),List(60476456, 59251177),List(65681591, 62351562),List(21442190, 45290799),List(34232454, 93906047),List(53167871, 17638528),List(75025152, 94976625),List(78938491, 61825316),List(96651702, 12761572),List(66080299, 52173904),List(47840342, 83621319),List(46516522, 77931148),List(29974757, 61563759),List(63346854, 56685381),List(24824871, 48161341),List(41321342, 76779321),List(68779262, 51301418),List(8881224, 96455935),List(25887826, 17976367),List(90470576, 27883310),List(8922649, 81060896),List(52215624, 52235229),List(63417886, 4490361),List(59516229, 9592054),List(6137465, 401447),List(31491051, 17070882),List(81295833, 54517157),List(34618329, 93062894),List(94094192, 51642572),List(4905724, 34345922),List(97186966, 65494355),List(75235326, 63745269),List(50848437, 40389356),List(91079849, 79496529),List(33628004, 76780433),List(23371888, 48105315),List(26927922, 42048830),List(78737855, 20497920),List(4475081, 12962038),List(75876204, 57598106),List(65771881, 19219179),List(56316567, 30158494),List(14652749, 57708555),List(90693507, 11332603),List(5230464, 78857318),List(1021602, 17342069),List(10623895, 77789871),List(40827887, 79110152),List(37647477, 39894252),List(95810810, 61001110),List(27028457, 88782548),List(77975103, 54149),List(77999120, 87436073),List(22374590, 32041663),List(97798562, 54237951),List(56143728, 14380003),List(79984311, 74104638),List(63319417, 17942789),List(37354431, 97278913),List(21490468, 48343023),List(93473681, 19549911),List(15616583, 96391789),List(95941201, 99523307),List(98901569, 79336224),List(52692588, 90356723),List(41115153, 40362004),List(53540637, 3442638),List(31478204, 32389813),List(37543347, 89216020),List(97143613, 54763447),List(30732159, 60858692),List(73663717, 66305781),List(61069530, 82643581),List(55727760, 30655783),List(45852197, 79026003),List(21034995, 7197733),List(54302091, 92247206),List(82003185, 16450440),List(13127251, 351528),List(58882969, 78626173),List(8923493, 34435576),List(54754179, 60243942),List(31845783, 66634198),List(53148207, 40760622),List(96917524, 47969740),List(74671940, 28343467),List(73933664, 10653593),List(82435286, 75382082),List(52885855, 62331769),List(39416438, 72824678),List(4232560, 93828213),List(76454593, 96212507),List(55287826, 47965451),List(69726022, 64598797),List(68901057, 12501829),List(30425403, 75026546),List(78488503, 84075568),List(32247061, 99996478),List(34437917, 8343713),List(35722115, 54509751),List(34654502, 55199023),List(82606664, 22808873),List(10476369, 716555),List(61603921, 25455708),List(1223769, 13596614),List(5464007, 87679482),List(41694224, 46710611),List(79833282, 42686278),List(28273195, 17354281),List(26329473, 8582522),List(21172762, 15846434),List(16970850, 532446),List(49089298, 55530725),List(26131131, 76166793),List(52021959, 48253955),List(44803763, 91620021),List(77615972, 59083478),List(22202703, 69250851),List(68983724, 46195989),List(61229338, 82733683),List(91801949, 74748920),List(80372412, 25426547),List(84946473, 26413904),List(39392667, 43141619),List(69821156, 15268615),List(47174658, 91636144),List(78836444, 27195344),List(2508879, 5019350),List(56687317, 51929501),List(86109782, 99567191),List(89841153, 90731590),List(35508470, 6197390),List(65534156, 9888215),List(39018668, 85153424),List(82640100, 62240778),List(84312320, 9963511),List(14634482, 31041189),List(57319470, 10327093),List(48556888, 1043167),List(77403551, 50186063),List(76235396, 67778734),List(87272401, 98107404),List(37085610, 73096552),List(74103406, 7492841),List(17093972, 98121673),List(81929426, 25360869),List(19751390, 97310294),List(9771858, 45432222),List(41535710, 15277394),List(9521231, 76928161),List(4364457, 5603802),List(37173493, 43490485),List(3246797, 33901436),List(9818107, 6551788),List(8673648, 49163202),List(4955889, 42303280),List(84257475, 83307254),List(12342715, 64896460),List(88557434, 94745854),List(35537188, 5847975),List(41008901, 40413021),List(2748164, 4578664),List(80843965, 80139079),List(43706607, 11350258),List(60249081, 30068945),List(79803887, 79736835),List(48018265, 25212412),List(46085670, 78089980),List(81030436, 22417593),List(48433411, 61401426),List(74932123, 55105046),List(66340979, 43489837),List(58314035, 59108034),List(39407077, 84781002),List(67724264, 31958399),List(66635683, 51385276),List(37548261, 86477061),List(15844938, 5586354),List(92951531, 51454832),List(45719398, 22658335),List(66429463, 81093912),List(52044952, 45175386),List(48139366, 1292533),List(48831210, 78984940),List(94874867, 16726303),List(90425075, 24829185),List(42425418, 18393128),List(92627938, 56095995),List(85976824, 38356197),List(65029176, 10083709),List(54973213, 12411319),List(55531142, 21809021),List(74395878, 68684615),List(7570622, 87580997),List(31605319, 32766201),List(62284214, 29661117),List(5804388, 34102257),List(21173749, 47202934),List(17578303, 34568210),List(14315367, 25006674),List(79822908, 54143671),List(7161039, 6658538),List(64498593, 55089553),List(30772080, 77751567),List(23417294, 35646553),List(64429108, 56610363),List(33674694, 97557791),List(32482845, 50048863),List(76024985, 51588613),List(81675620, 40724563),List(90351381, 94116450),List(46621724, 19024996),List(45524065, 22765181),List(77184748, 67704701),List(63999353, 69551496),List(58663980, 14959009),List(65038229, 91491225),List(73516339, 308975),List(59589127, 65409353),List(81897686, 80298492),List(57179512, 85762840),List(30563044, 50396296),List(56113639, 92840622),List(75338773, 49551941),List(68391067, 75567725),List(55268615, 3807381),List(60153610, 11089951),List(16144877, 67288936),List(29004369, 68043353),List(64410778, 51632113),List(43773559, 95234616),List(77905368, 64169023),List(93031082, 73073641),List(75601806, 13138106),List(4310007, 54401336),List(13487140, 59683687),List(70376382, 59848972),List(35145227, 51945375),List(58636734, 89665421),List(25977841, 18210961),List(13558128, 26431732),List(47150801, 96324512),List(92677373, 4517921),List(65249172, 11853084),List(12902944, 76620123),List(95143091, 35513127),List(81819194, 95251038),List(80364511, 73128969),List(70595465, 76217152),List(769423, 1673196),List(87921861, 49546494),List(53642960, 80642288),List(62525730, 58789938),List(48922325, 40011191),List(53244664, 411065),List(14611243, 74578960),List(63431231, 20884771),List(87847670, 13271551),List(31677760, 67499459),List(65364999, 13077161),List(54797241, 61939059),List(27871008, 28867487),List(8063956, 69896369),List(59980523, 27714404),List(13058016, 81993375),List(48710845, 3721142),List(85302534, 7311969),List(54767425, 99526354),List(7700473, 4720301),List(32277748, 50473931),List(19130720, 37268549),List(55909947, 69168771),List(67892127, 38230963),List(4810401, 40857888),List(67288350, 85394358),List(31255901, 11123183),List(17493266, 61172573),List(20553032, 58521935),List(20428707, 18361922),List(2868412, 47242095),List(84820334, 65627670),List(38794010, 60267367),List(88540737, 70889962),List(73340504, 65344371),List(27997291, 16684068),List(72382650, 62253774),List(35299319, 63531832),List(28692015, 46499368),List(93971081, 31133967),List(93176074, 47412485),List(46783950, 50341043),List(82350819, 82799781),List(5798664, 68447942),List(74947187, 47315111),List(41157099, 25059804),List(65246196, 1162367),List(44819675, 60675374),List(25135528, 551565),List(90127881, 13400789),List(79930228, 79941915),List(24697978, 58900963),List(6149756, 80877268),List(23647216, 37107271),List(94879893, 33140210),List(83534325, 61916813),List(50693774, 37135170),List(32769394, 94704915),List(63900935, 24704143),List(8244926, 25716612),List(41559638, 45004828),List(25594772, 18254675),List(57977668, 54121279),List(39888464, 3747749),List(6129174, 66757432),List(49327178, 77062395),List(82199294, 49220326),List(8486457, 22501132),List(94401608, 25761529),List(5639203, 14556926),List(18042305, 45963762),List(63586667, 87478755),List(84534100, 37417296),List(14510137, 80826900),List(7613545, 20556009),List(81045042, 811849),List(86640136, 42292760),List(14483881, 49362645),List(67013064, 22390156),List(40710145, 77268249),List(80952056, 88238291),List(29791410, 18808923),List(41536264, 70386472),List(91650439, 61461495),List(47033610, 52284317),List(34801393, 30683864),List(1053180, 82204838),List(15934271, 25065633),List(75426055, 36756522),List(73679911, 32826747),List(44018942, 52331328),List(40847011, 47204870),List(90419687, 30138845),List(11458631, 55680262),List(59522601, 29005161),List(81484929, 59480932),List(76184473, 69273263),List(26746763, 24647695),List(28808142, 11189883),List(35639769, 72601371),List(93115965, 28413289),List(53733432, 52344627),List(11619004, 34081119),List(75837576, 15133651),List(47361538, 65889),List(10494574, 31348162),List(96507248, 97501983),List(50650890, 48294250),List(35375369, 47330783),List(36096564, 21476868),List(21815956, 62807730),List(30365798, 51162782),List(71157610, 39209829),List(52195101, 28873437),List(50794441, 97041756),List(88117890, 15167194),List(16113936, 63937913),List(64615939, 84027553),List(56954790, 74196982),List(56220996, 39777892),List(2433657, 25804191),List(47962273, 38413091),List(48624500, 6254657),List(70614370, 51230457),List(11456702, 15098465),List(71162761, 22757709),List(79024269, 94256009),List(3933927, 62996700),List(79292382, 88390107),List(48143628, 35547589),List(24398185, 61812472),List(57180192, 2130076),List(32036330, 48371670),List(45246347, 88686261),List(8625931, 37471829),List(80259131, 23385524),List(13318756, 58718607),List(36067742, 38633243),List(59800412, 10135812),List(66684368, 45134863),List(76580364, 47583323),List(25571389, 63072973),List(71911268, 61472843),List(38719495, 97096421),List(82848508, 15386580),List(67242401, 37625859),List(44935643, 4795332),List(60602284, 136853),List(13154552, 72019597),List(96098983, 39335585),List(90291942, 33313323),List(34392203, 38605041),List(76013008, 52264700),List(73364908, 3321279),List(19297857, 82613606),List(20354854, 16308025),List(32231361, 73627734),List(54551652, 16818001),List(45202293, 81681665),List(80221850, 50864121),List(95999710, 69968424),List(40028841, 54689731),List(65283326, 21005089),List(3340623, 49503687),List(60749521, 27384437),List(63779067, 73470066),List(56205887, 97700077),List(58375824, 49775076),List(68487350, 9674420),List(19122623, 43894657),List(64362783, 28718301),List(87217716, 66382045),List(27179486, 60745404),List(97248234, 27646444),List(71747514, 2265804),List(58724726, 58793026),List(94272220, 34643968),List(51924192, 23216276),List(68329999, 52356677),List(28205215, 57415589),List(49778249, 25580547),List(46032247, 68191791),List(22909696, 84987573),List(39517767, 66855961),List(43756126, 29739945),List(43929738, 51844641),List(77653087, 38249614),List(96125240, 13615361),List(34896370, 67262984),List(14532101, 32974662),List(43983815, 36857392),List(65307918, 80671824),List(21846230, 6356233),List(76106926, 56626030),List(85840942, 83161415),List(31308550, 67387437),List(55805999, 42088047),List(20752705, 87453795),List(30535359, 93188693),List(79805534, 98245518),List(85677093, 40896839),List(90108178, 56991821),List(2930041, 92308285),List(809578, 49791437),List(41462124, 19104239),List(5137977, 20550112),List(17694742, 99476515),List(74912688, 9648945),List(87628601, 87567782),List(99247644, 86488047),List(47984160, 31101570),List(51895764, 42021161),List(83545953, 72408299),List(94118633, 91903269),List(73095322, 4173879),List(97836337, 14353067),List(3703322, 18728530),List(20638401, 43725719),List(34272345, 72698847),List(23478015, 23713256),List(54065895, 95128590),List(62077618, 43899351),List(26428163, 49386934),List(17008153, 22645740),List(12481680, 90734795),List(87570693, 96242684),List(16423689, 61803350),List(34056365, 59765618),List(5745106, 28274445),List(8362645, 68033199),List(41086781, 40902648),List(67074688, 31003533),List(20079966, 39835821),List(40414230, 44057454),List(58930622, 40651159),List(38924024, 136438),List(50694735, 38752889),List(98962421, 65835058),List(64651969, 49215746),List(82301091, 89687164),List(7549954, 57486928),List(97503095, 31963447),List(12409611, 34189983),List(19081402, 96991363),List(45487732, 51037962),List(7013230, 1000250),List(17883431, 24883690),List(21123825, 40811417),List(23824280, 25716430),List(91550442, 83959458),List(20456938, 22571296),List(56605344, 24296444),List(4214964, 91707102),List(10268891, 1069290),List(89898336, 64522748),List(939125, 20038846),List(26359410, 82330759),List(87678479, 55324062),List(83835387, 99472328),List(80205266, 43043358),List(27278175, 40082358),List(31553219, 7123921),List(87220225, 54353503),List(49173045, 54442522),List(36849563, 82461711),List(25385054, 87593823),List(73963763, 7808571),List(31217274, 6454998),List(92286605, 29698540),List(21482243, 6662004),List(72994709, 3389282),List(54423796, 22902821),List(71704896, 79500404),List(93618412, 32395802),List(50622747, 60624975),List(56357031, 35601050),List(36030289, 64116180),List(85834701, 32688126),List(9048599, 4498376),List(13458020, 22479369),List(79719662, 73455611),List(96502324, 41822789),List(66903265, 39133796),List(45187171, 69549902),List(55092744, 63888176),List(82218125, 33030464),List(56594741, 9628180),List(15487966, 4240826),List(43258234, 44761915),List(23182435, 82748643),List(33126162, 81281875),List(68378212, 57058247),List(9409431, 14332646),List(66608230, 41118390),List(45239836, 12397925),List(39324538, 66781229),List(46340974, 96820893),List(90787244, 9733791),List(31867462, 86113524),List(19612513, 2483913),List(58438162, 8229127),List(3639160, 57551555),List(4142639, 42613847),List(13595306, 37396716),List(80888423, 22303952),List(42933186, 92396035),List(72271558, 48048933),List(90489318, 31870718),List(1685039, 94439150),List(66846925, 65352899),List(16346620, 60178391),List(5889673, 43017551),List(77683774, 9783148),List(72000978, 25595576),List(30807740, 39235680),List(22662392, 31600289),List(56697720, 17529759),List(80364577, 58486645),List(12179917, 26593959),List(34012443, 28292151),List(30508249, 7578438),List(68634174, 77736207),List(48995881, 49467100),List(99239669, 10194101),List(37993670, 60850626),List(79452816, 48083225),List(35751749, 58274262),List(57819293, 98329203),List(35612537, 26801633),List(76890790, 21798069),List(60124680, 11348898),List(7590267, 28379033),List(97365110, 50346527),List(55532879, 39504351),List(17342319, 65359018),List(29819897, 69054167),List(98379373, 54606991),List(56014452, 11604241),List(54958017, 76373019),List(4575065, 73456723),List(63993398, 30309341),List(29380781, 85320843),List(4296310, 15004317),List(24276591, 13643535),List(90735488, 22963810),List(74298498, 43272037),List(49175611, 15091522),List(54423315, 1034744),List(70560564, 17184814),List(44089346, 79868668),List(58490255, 19010097),List(30199723, 65685697),List(46331817, 84349548),List(34688753, 3482960),List(99123218, 47474486),List(72870203, 20681456),List(76341423, 8376840),List(62949798, 48318062),List(37659401, 35610429),List(41023225, 25730962),List(68932685, 96376677),List(40618984, 47250459),List(79949634, 82234024),List(43843867, 89878361),List(71099960, 81357259),List(8136058, 58572747),List(14772772, 67633818),List(7505284, 82295717),List(82114907, 11727234),List(23268292, 12790983),List(30483966, 65541425),List(12905751, 46833742),List(31761383, 12690159),List(47836106, 53509352),List(7088537, 39671022),List(82659646, 60197726),List(9139492, 11003390),List(12896632, 53864562),List(63684100, 25141478),List(38245798, 64100206),List(14419574, 80187198),List(15772895, 84371361),List(93739939, 62495375),List(2613261, 34142701),List(51440899, 61180864),List(60721835, 50748795),List(27568268, 39907963),List(60630302, 41513382),List(58523722, 79343443),List(99158200, 61750129),List(5574451, 61464850),List(22991264, 41894222),List(94413230, 28085456),List(175480, 92705082),List(55692444, 15474032),List(2390583, 19056637),List(45555611, 58999150),List(21095085, 8702013),List(58920386, 17034755),List(72142295, 43481831),List(20491775, 23693770),List(64127643, 89953417),List(3458604, 48162795),List(52160834, 57240992),List(79545869, 44607646),List(83798399, 69262415),List(33137367, 88620610),List(240383, 60841504),List(33926906, 85630898),List(88005709, 54625290),List(5101315, 13591392),List(83645320, 42241482),List(2074371, 18426238),List(542142, 19258188),List(60720092, 85607864),List(43860782, 75331180),List(51744181, 20196541),List(93386781, 81042122),List(20496370, 40884281),List(22430138, 71435980),List(70574032, 51822555),List(22034938, 82141276),List(61809847, 13142525),List(69185221, 15935416),List(22091874, 43932125),List(58889930, 47518544),List(72306602, 18311973),List(87670786, 32563681),List(26468429, 52880295),List(88518198, 61049993),List(97654559, 20964462),List(15415693, 63607133),List(55834506, 49068416),List(76990542, 27525408),List(46238188, 45133631),List(34254963, 54661074),List(55482273, 60478652),List(72187785, 1992611),List(84912638, 5035804),List(65089462, 47619753),List(77244954, 76653235),List(27594319, 63089347),List(19076032, 55277885),List(20554176, 63443443),List(73051928, 70978122),List(7794478, 33007656),List(79449259, 3130998),List(28699314, 62368518),List(68336774, 52752231),List(659601, 14228792),List(30465392, 84698171),List(72848461, 32791231),List(34318306, 19052160),List(52326589, 7098430),List(21242920, 8977906),List(6607351, 61171355),List(12166378, 39544559),List(32470365, 49763219),List(77918158, 44757053),List(70999954, 24467303),List(18448110, 19473898),List(31961575, 77933391),List(54162976, 10793755),List(33161916, 33605054),List(53407070, 51452923),List(75403987, 5550030),List(54033519, 21626602),List(65996640, 72279423),List(61247843, 85632028),List(70978127, 48842696),List(88026356, 11718862),List(45869896, 9473157),List(70031843, 56425552),List(52099787, 66493383),List(54712144, 39762718),List(70666763, 80895191),List(85996894, 48753175),List(22703749, 61075664),List(94479870, 95018483),List(92741018, 46464316),List(29028635, 94092789),List(47038790, 98546459),List(2113121, 81392552),List(3656443, 48728726),List(8744268, 28969798),List(11074188, 92656299),List(13509239, 21095269),List(75597097, 35009658),List(50825834, 63148953),List(58705940, 34551636),List(32932318, 69216295),List(1893034, 96113560),List(79013233, 24709921),List(14827691, 52280288),List(44508378, 97399153),List(739900, 41320822),List(42327156, 85199935),List(4992164, 39895560),List(44839448, 9076156),List(9632204, 56999956),List(1132018, 72286906),List(6434795, 81317812),List(62858345, 84937973),List(1422499, 6491318),List(35756600, 12361649),List(59095596, 60000999),List(26380234, 19810448),List(20254994, 31320817),List(87068175, 47421275),List(40086476, 47854128),List(59859957, 2426242),List(23761208, 29667183),List(73253340, 55192803),List(61580752, 72759919),List(86411014, 57335694),List(9611043, 94316805),List(44742157, 28138961),List(21234066, 23460441),List(45897553, 37831696),List(53014537, 96204005),List(96136122, 7017179),List(73867345, 95285497),List(44057069, 76032212),List(46548199, 19757368),List(94284580, 37941144),List(22489500, 12642112),List(38664420, 47507939),List(34063319, 2592366),List(94778190, 86476368),List(30542961, 86837014),List(96216098, 89951058),List(79609967, 74646916),List(91808428, 78970299),List(6078023, 79626760),List(82937535, 81922688),List(7346000, 7952046),List(85009603, 8967034),List(23262433, 57416510),List(36690306, 57319331),List(67597133, 85367521),List(99213256, 74849738),List(86850365, 48328653),List(55969701, 5396387),List(45631484, 24990752),List(75653829, 79608060),List(88865, 18599064),List(34352800, 60082822),List(36308570, 50883093),List(64838109, 47947346),List(51119111, 96881161),List(39471460, 45519760),List(16631625, 95322309),List(94512946, 29306197),List(29273219, 50521401),List(18661018, 46160331),List(27764680, 51075500),List(86709328, 94110842),List(16477612, 78694316),List(71924332, 19900366),List(52488788, 57451601),List(73562602, 50373550),List(23929939, 47261916),List(42796927, 97538039),List(58262291, 30719158),List(72212361, 58849477),List(75839682, 47134633),List(99289437, 99042508),List(42400955, 87388661),List(95058949, 81430597),List(95905316, 597739),List(67838049, 22968884),List(12851438, 24363948),List(76410918, 20308551),List(42161464, 90193170),List(63036250, 15028715),List(28745687, 38661999),List(54870118, 82142766),List(92354007, 87161407),List(7616358, 36152836),List(34164622, 94581470),List(3079933, 65036678),List(61230459, 18106732),List(20180830, 34415866),List(93264707, 13152367),List(81338573, 99452099),List(4779305, 15469300),List(87086752, 31626),List(17254734, 48772004),List(93604047, 48347450),List(79241565, 96445100),List(94992774, 22805729),List(7451316, 88109539),List(19240197, 25336565),List(60942572, 31731796),List(43931760, 96416036),List(75271998, 11932937),List(47186317, 79561279),List(46765458, 89327836),List(31371109, 95611360),List(71566559, 40952833),List(78324233, 56565905),List(93217386, 25992362),List(23686652, 30311946),List(56442368, 85533437),List(14152302, 62256110),List(87496585, 3217282),List(90246085, 92557425),List(98061238, 25215672),List(72376007, 14247688),List(18802432, 63077787),List(84864677, 61591232),List(37555792, 57765798),List(79257418, 63576137),List(39563168, 15877194),List(88183923, 15516310),List(92617496, 68493103),List(8042801, 25289295),List(96007950, 9706659),List(13849091, 13494036),List(74897786, 12756248),List(86419851, 32669634),List(72442172, 48529302),List(51683412, 21644041),List(33872070, 79723607),List(44550237, 28630584),List(41097181, 8905596),List(1124080, 98872739),List(61423, 14469665),List(47483794, 37432202),List(38152496, 35118660),List(1667583, 89939339),List(14603442, 94300545),List(14260244, 50927622),List(99285941, 11097966),List(60047204, 15704452),List(99038420, 55547487),List(78109044, 31799481),List(75624984, 30054089),List(52495399, 26031034),List(20108676, 47054521),List(59130216, 76102196),List(55513351, 19662647),List(88718004, 63681089),List(44126869, 44011814),List(83762458, 95131066),List(30320639, 24275753),List(92382144, 85196468),List(52889507, 44249735),List(56110938, 41055617),List(13896217, 77819575),List(23370934, 50205575),List(92907582, 87267619),List(3460303, 45361481),List(99914939, 39326549),List(32850696, 58136320),List(87766679, 3887588),List(68007431, 89649746),List(45592910, 51239117),List(67492709, 71325530),List(76658376, 63216307),List(77521974, 30299359),List(72381744, 67931769),List(4621135, 54462189),List(64295415, 90308066),List(44801326, 75858038),List(12024161, 4062086),List(82146464, 49335099),List(85715120, 19588079),List(21938255, 97265445),List(88089691, 99282806),List(2558399, 6176533),List(67254788, 68973882),List(46539780, 67026008),List(88401250, 56132993),List(59155233, 51954865),List(22534406, 77166687),List(94721666, 39946302),List(63658510, 99455204),List(21118264, 18823571),List(92941158, 82104535),List(34562499, 60753816),List(15636466, 25934856),List(55420245, 50576917),List(49691840, 37342206),List(9441213, 36025684),List(96748867, 24289126),List(15210220, 12755739),List(90278117, 5598756),List(92555132, 4414731),List(3416339, 65636132),List(88300274, 70635240),List(68080553, 63403691),List(14679159, 18547883),List(4353791, 53693195),List(74971646, 16185433),List(3647971, 19571790),List(43348380, 43256126),List(38806161, 67667867),List(7963454, 10222188),List(93039230, 92561245),List(51590761, 69936590),List(55661796, 20993834),List(48224257, 20460741),List(43877188, 98865482),List(81325757, 57107229),List(39811601, 56065257),List(11458288, 36437440),List(47235495, 77531341),List(48762029, 16528480),List(61400131, 2281855),List(1169737, 68061481),List(93719237, 21260062),List(71944726, 15088894),List(54685137, 15661111),List(80024764, 91014368),List(57795482, 94313049),List(56785569, 54512756),List(56444784, 80006574),List(48113152, 58698044),List(31543532, 52319595),List(26553757, 71955705),List(11335879, 94193753),List(81012587, 52640039),List(68342816, 82868534),List(93315828, 87902309),List(83543506, 42081654),List(44782410, 58834604),List(48810572, 75581824),List(86808186, 74269186),List(8953964, 36212729),List(24555177, 50362769),List(28923049, 84367601),List(64785614, 15112913),List(98898660, 10728818),List(39580410, 19617497),List(77426845, 18378819),List(94223631, 93718388),List(45893230, 24159267),List(17637336, 98555393),List(21280827, 58703850),List(42149866, 57773838),List(23662311, 42048100),List(94151977, 1426444),List(91987282, 59812714),List(4921568, 59581157),List(77298676, 24033743),List(97462642, 85854625),List(55057904, 24405533),List(18581858, 75562536),List(36214704, 65385606),List(834337, 68696520),List(20725441, 47281708),List(14685708, 1693784),List(38098930, 51460752),List(57216654, 14873311),List(331276, 15795317),List(32336631, 44109200),List(15413817, 34203421),List(21960001, 93254154),List(4701033, 36869905),List(87098873, 46099912),List(25276918, 11353847),List(76352363, 27404744),List(66334763, 26575623),List(8105478, 43914255),List(69303962, 2594189),List(38650274, 99917074),List(41316302, 97739368),List(86691356, 57991935),List(75048742, 11166236),List(94537505, 17675601),List(69390202, 25042714),List(50027731, 26471666),List(63810984, 96293348),List(9511765, 79256099),List(80873484, 1998014),List(58513034, 32031782),List(14312901, 14952352),List(48913408, 89459946),List(85527048, 17016791),List(85336864, 57191215),List(62355917, 95687652),List(4474411, 29569278),List(63208766, 45344889),List(47363901, 49111511),List(79564550, 65700437),List(82722141, 31427643),List(94138540, 86255497),List(27427988, 96623726),List(85682122, 99230932),List(63479733, 41883932),List(24060349, 92600242),List(16205704, 73781894),List(12679367, 88783330),List(91915965, 3343714),List(59515420, 82390096),List(74586779, 88699003),List(99107347, 69289592),List(20185057, 62250415),List(66066051, 72957082),List(90623695, 49640072),List(53066753, 14720179),List(78982590, 56151839),List(90577812, 57016725),List(90731751, 99764558),List(60024239, 13470232),List(63153966, 73473620),List(17884199, 79917410),List(80649819, 28042420),List(59870566, 29168013),List(18653643, 44861045),List(58159707, 15908417),List(8902337, 53032910),List(96715718, 47718886),List(38388094, 48964169),List(23023402, 95316192),List(3062631, 37129784),List(47439863, 49851138),List(5338759, 34778147),List(26769280, 63619482),List(82461032, 34066266),List(58937710, 34425885),List(79662974, 49437161),List(46488687, 2731692),List(36036813, 12562475),List(56627132, 37419762),List(27713583, 11094709),List(28623307, 93122593),List(42154328, 96573265),List(25169475, 49130656),List(66057331, 77198235),List(45516911, 22671331),List(65907545, 17858985),List(53104319, 20385269),List(72669872, 53145269),List(3959172, 10974275),List(40440797, 38693597),List(20129943, 61387953),List(85329850, 1588232),List(64758139, 98729410),List(5836978, 38783729),List(86095767, 47607945),List(86011921, 84559185),List(55022381, 34912527),List(14464331, 72675542),List(49268256, 94179051),List(30850235, 72542605),List(95179932, 19780545),List(33798442, 99395467),List(62276447, 83934550),List(35565941, 22221955),List(57248654, 28719622),List(55002111, 82595486),List(10462043, 80915106),List(50236244, 60997672),List(10626353, 36154413),List(96779344, 74550991),List(50234971, 82709691),List(44637403, 30595731),List(60364877, 17057374),List(12967034, 81471006),List(62590353, 89903905),List(47588386, 62363027),List(57927483, 57046437),List(31640799, 30401743),List(27072397, 11419251),List(57508825, 60275928),List(64852781, 35012053),List(7407528, 98150425),List(34341458, 51379826),List(72618970, 94458347),List(19538017, 22504319),List(3833099, 37282766),List(71325392, 20812229),List(86658340, 5372543),List(57701132, 70375410),List(75344552, 36997965),List(37329153, 55516983),List(26504579, 20480864),List(77746061, 44993113),List(6254200, 21473054),List(48046453, 3277912),List(34365923, 52409027),List(14161755, 31694221),List(85780247, 65136896),List(14084207, 90033819),List(88184898, 78545313),List(84878481, 22548798),List(44598526, 67277408),List(69993083, 91567253),List(87356744, 96692339),List(54689004, 4409941),List(42922910, 68547762),List(99140807, 65557058),List(2179160, 66653713),List(91678144, 26920015),List(46140358, 57612932),List(67740383, 40033790),List(16103184, 69838690),List(5373808, 63644956),List(19381117, 27363834),List(98268694, 67248376),List(3246853, 40252773),List(56368363, 2017559),List(4364838, 92939246),List(36715156, 14230572),List(76548369, 29531932),List(3361665, 5466141),List(40339553, 85518834),List(84958562, 96348826),List(86147010, 97712598),List(63549542, 9178713),List(15102815, 41593655),List(63121174, 54864705),List(2941987, 10061729),List(65146306, 15371600),List(98704643, 78174884),List(97249074, 39959467),List(25543257, 73949805),List(52929873, 82832928),List(38185214, 86695304),List(61369516, 88026909),List(32513674, 25718750),List(30451338, 36723494),List(45843701, 54597355),List(44973061, 33277512),List(25676840, 79752100),List(25184804, 94645064),List(44630038, 14462098),List(22624862, 26304535),List(71623809, 58188036),List(63920882, 74947973),List(16135030, 2511499),List(29552644, 90180050),List(91611455, 83256923),List(33599337, 84201661),List(47131694, 77237932),List(16695261, 22397828),List(50731615, 34619357),List(54642039, 68542491),List(79301055, 4518836),List(80822669, 16813786),List(59774089, 17523336),List(40286175, 84163236),List(57789689, 41276253),List(96158944, 14987594),List(73451609, 64380778),List(51407567, 23529400),List(72506736, 54552276),List(80868670, 69286779),List(28187580, 66992457),List(53665079, 47966168),List(43389039, 54229651),List(88234404, 89489967),List(36533085, 95755168),List(24550258, 84240524),List(83617312, 53760240),List(49702330, 68009521),List(70784805, 97621267),List(20976370, 57389547),List(36067367, 43157116),List(52962117, 98498664),List(82850047, 41523019),List(28248068, 82968086),List(72940416, 82500785),List(24318498, 90777552),List(16439004, 73690142),List(41683266, 14173725),List(94732433, 18299911),List(55084784, 68904326),List(41612281, 81790943),List(90664879, 97325174),List(17859, 62389459),List(15195285, 61535714),List(18943575, 15651569),List(57940887, 39300422),List(52247320, 67634091),List(60807234, 25412428),List(21126753, 99568826),List(71754997, 38530634),List(45088025, 19946051),List(37207038, 94033146),List(90964799, 62348457),List(31148625, 90496544),List(93904773, 7249705),List(35369428, 13877703),List(63853212, 1807363),List(36709685, 87540881),List(5912660, 16996631),List(68672296, 64729464),List(76346738, 8980828),List(28303964, 91388965),List(91802860, 29736376),List(38127472, 63343106),List(46196611, 16780119),List(39250062, 32461402),List(86289593, 43883089),List(8987644, 22940658),List(32762922, 25474879),List(81197777, 83889607),List(77921727, 82206695),List(89730378, 34002955),List(28859125, 31803643),List(90979484, 55000977),List(28407872, 28265625),List(42263897, 30122783),List(47457193, 33732713),List(40711696, 50102037),List(56824062, 595334),List(30715383, 97885750),List(37654831, 84174123),List(64245796, 47964637),List(25030892, 88956010),List(57765181, 46542558),List(87198194, 58130016),List(81863042, 92237139),List(88299035, 37350228),List(60806004, 35609242),List(85952207, 36390873),List(2030720, 49091820),List(20378313, 73367767),List(23499180, 67170871),List(80871117, 78189530),List(32792335, 76844139),List(84290174, 33752376),List(16756676, 35324412),List(499143, 25026099),List(59863188, 41161849),List(78487801, 1524727),List(52828197, 23385369),List(50191392, 89475565),List(58898642, 46679552),List(65460236, 80015510),List(60126109, 94891981),List(29003269, 24766841),List(82926724, 41302295),List(73155396, 28833147),List(60317660, 92441072),List(15813775, 41899517),List(67356100, 13592132),List(66597685, 72217691),List(91388424, 19538270),List(35480785, 47344097),List(89506814, 23566370),List(96608535, 3943931),List(91878721, 55301262),List(9694884, 848334),List(70410499, 53751157),List(4190556, 54561053),List(10100267, 30280154),List(88596015, 19603354),List(79652099, 51354259),List(50220150, 50500141),List(89935739, 62372706),List(45985968, 4703481),List(22135792, 67624589),List(6322156, 11589630),List(79255590, 59471156),List(57421684, 4967391),List(33950386, 24510747),List(67208649, 29401648),List(87551833, 46985155),List(79662635, 85961590),List(9256120, 26634670),List(15159490, 65330122),List(95947426, 94885878),List(87306794, 59292725),List(2861009, 48208579),List(32642171, 67240951),List(85981326, 64960110),List(42386062, 74902297),List(72306384, 41686568),List(37215781, 7476186),List(97947448, 21697946),List(97609226, 24171422),List(85822098, 33155181),List(29734725, 93746941),List(21434476, 3941654),List(5109035, 90652031),List(49692010, 86633847),List(75290927, 9580439),List(41054900, 34812115),List(50739013, 2764285),List(96647294, 63159615),List(77422795, 34398678),List(73588320, 33516708),List(37351079, 10524466),List(36083285, 71997093),List(90265337, 82212717),List(46526724, 19425082),List(69996331, 87050927),List(75624733, 80976433),List(70772052, 3352479),List(2180631, 65835930),List(58925443, 57263776),List(14274043, 85649227),List(72463241, 62785433),List(95277679, 6238414),List(7077590, 3048317),List(40487671, 7960446),List(56527360, 38765807),List(47013776, 96787196),List(19033035, 36444851),List(83158364, 13479414),List(75315372, 34177421),List(57856288, 79275014),List(54749053, 53340865),List(24182763, 56050917),List(67079694, 21427923),List(20477858, 2471468),List(31224602, 15748847),List(8035395, 68181675),List(72645767, 49812383),List(17993017, 42054462),List(2297651, 73093906),List(80992662, 39465050),List(20259332, 37089699),List(10603309, 62300067),List(14079769, 73718083),List(5976332, 70900749),List(50312052, 59675436),List(31753381, 20844818),List(17589075, 23132433),List(66206269, 85180198),List(85890520, 83893581),List(54454074, 47391246),List(79595962, 38583370),List(43184982, 10728948),List(93010805, 69771811),List(99645263, 93861817),List(58992063, 74156362),List(83914356, 91357347),List(63942480, 63782873),List(95357150, 39589787),List(9803551, 71399764),List(425850, 47220107),List(9348663, 94285076),List(12385773, 19083972),List(62851557, 83616598),List(65463087, 40689715),List(79048023, 97862704),List(38821693, 33322494),List(84609486, 6427728),List(17248802, 90810371),List(51360815, 64852372),List(16332085, 86009142),List(63166860, 88421964),List(31353396, 10705821),List(35050389, 68005867),List(22156808, 60447329),List(26133982, 64264336),List(88964991, 44545830),List(96633649, 25208626),List(81621331, 531238),List(59906235, 13929648),List(26987769, 90843947),List(52276986, 90422637),List(91136554, 68689773),List(3897313, 20585469),List(53555789, 69976143),List(40054599, 72310238),List(86485931, 74420776),List(47573776, 47960430),List(3249023, 20378739),List(94907774, 79985891),List(73923586, 70764411),List(7176386, 83785154),List(84962906, 18043615),List(89089813, 37694218),List(36584145, 55196846),List(83007666, 83491119),List(31566433, 18815237),List(17825035, 70394204),List(11735988, 44222854),List(75897583, 852371),List(38635248, 89995595),List(60350367, 91439929),List(42651824, 69614046),List(51886685, 95631678),List(58885302, 82172584),List(1972708, 87204527),List(27180245, 74231103),List(84303915, 38762109),List(27265782, 15634610),List(22342854, 25499087),List(10466528, 74138282),List(86531212, 2414915),List(40933917, 77431722),List(4206469, 89190488),List(34611493, 47841233),List(1851923, 10777849),List(32840525, 4684983),List(92444863, 962074),List(89021557, 38811262),List(36383362, 61631661),List(88164902, 4449676),List(57931600, 10002251),List(3188143, 95504125),List(96510037, 33956545),List(28880328, 69786382),List(48651734, 49771663),List(49555318, 81508938),List(92336139, 78473342),List(38634571, 93982393),List(62192597, 38631635),List(51894612, 87392331),List(5663108, 65172479),List(38305418, 42628745),List(86731818, 7747234),List(36471067, 10293766),List(98777170, 34894880),List(95040286, 66355912),List(77535464, 59344150),List(5484860, 80863499),List(45811178, 90680755),List(54949498, 83593633),List(31675416, 71356693),List(955961, 91395536),List(32236535, 49744930),List(58744949, 24707118),List(57107013, 41185186),List(33609250, 94812838),List(88934401, 67078808),List(84510945, 61077749),List(71839033, 33164953),List(44938096, 44705333),List(8967934, 78610040),List(94003723, 37523326),List(64384097, 49999888),List(63506460, 68895568),List(9156529, 58401333),List(87541648, 76472688),List(35550639, 40287766),List(73373839, 72889844),List(40047374, 20705658),List(97077567, 37039074),List(88147061, 72771690),List(11381748, 70961246),List(2315145, 53504086),List(77062488, 92550338),List(70230832, 94179496),List(47622253, 81150881),List(74008008, 77897108),List(81536063, 29992919),List(44079795, 15240436),List(67171779, 76921622),List(94232902, 27891412),List(25479545, 69778133),List(95257298, 14827313),List(87526811, 6780532),List(60831311, 50497812),List(92313423, 44733786),List(48025565, 573096),List(45724841, 52711345),List(9803725, 77904795),List(90368909, 32846338),List(61321468, 71993562),List(9943580, 8558571),List(94727978, 20218801),List(52586475, 30428787),List(58701529, 98108760),List(60287748, 34864890),List(90909656, 65915813),List(68707608, 27576361),List(13899568, 67072378),List(25741408, 99315235),List(40729923, 73702103),List(97598903, 90301554),List(76888399, 87196792),List(24159801, 59782231),List(64958269, 61605054),List(65930380, 97623872),List(51222830, 84710987),List(59509210, 93032660),List(42402739, 59898562),List(5036561, 3208924),List(5068209, 39899006),List(69047942, 84085964),List(23086816, 23403922),List(32038907, 80232163),List(59664130, 38592256),List(26361676, 88691813),List(316360, 59819927),List(91028931, 90123361),List(28366765, 61572701),List(37868923, 50425658),List(52224221, 99311379),List(72175730, 46177729),List(75939743, 84846473),List(83578889, 93318328),List(82231075, 63460483),List(72003790, 95566796),List(3181347, 31082966),List(95952122, 47917895),List(12032269, 97617650),List(47005670, 71153840),List(72010628, 95591318),List(36187867, 77357477),List(50507707, 33077588),List(24550342, 854492),List(54518556, 94795066),List(61857497, 26519694),List(20602258, 46546008),List(89424084, 75521302),List(20213570, 10060982),List(64148904, 18702977),List(90951629, 38773443),List(55384565, 12743323),List(22410912, 94725336),List(28773623, 9863636),List(26459620, 94528381),List(7435704, 50132674),List(82672384, 17731635),List(92921239, 16025683),List(85148661, 86051536),List(63558159, 80983850),List(75801248, 64792782),List(62442971, 14420810),List(18416077, 33707370),List(21561985, 83971115),List(50881574, 56853995),List(29141866, 45049547),List(54730460, 30522635),List(38554637, 55873568),List(97240031, 61040132),List(20407265, 66691071),List(44277542, 47968734),List(61028813, 28340587),List(78153837, 88042223),List(57607893, 77469920),List(41027566, 927881),List(70818860, 51272742),List(55913257, 82914003),List(45673581, 3572884),List(89010281, 87135761),List(59492460, 66933497),List(91199744, 77955783),List(96338233, 64907527),List(55516858, 30609496),List(36001843, 41566354),List(44958116, 26158781),List(33204057, 21098731),List(15895143, 74194136),List(35856257, 32111474),List(60861087, 56097997),List(28161877, 8896568),List(3094820, 85475941),List(58489754, 62471052),List(65339847, 40596926),List(39611462, 90144282),List(53196134, 45296866),List(65819173, 78206680),List(54281247, 19946750),List(54305616, 32555476),List(75431212, 96648832),List(54057072, 84088332),List(37501044, 17601802),List(88989717, 82906195),List(7726768, 26165074),List(72031582, 33454340),List(90263156, 37547391),List(80202168, 94415353),List(26492118, 18751107),List(21080261, 87594848),List(30051160, 15756788),List(12359690, 15750442),List(16272749, 47637754),List(16158456, 13493478),List(60107219, 23908223),List(60603188, 91087407),List(2059165, 56017726),List(95381872, 18647945),List(92479546, 65589915),List(31150389, 90678086),List(47634930, 32288505),List(93429202, 51343540),List(90825626, 47440313),List(70760764, 54783156),List(87080510, 37121004),List(1289267, 40445395),List(28983371, 36296543),List(68134992, 69244002),List(97729028, 34681594),List(69921942, 35088608),List(23751227, 90671282),List(27376253, 68515137),List(48023188, 62990932),List(33612614, 85978612),List(41674517, 44014398),List(203061, 60121006),List(27121905, 64201841),List(87633302, 62853410),List(77718354, 80099550),List(88333467, 1851992),List(71091576, 5921037),List(19217710, 89209323),List(42596422, 17400006),List(5923524, 72980655),List(58735134, 69656721),List(83371113, 89313333),List(61933287, 7979726),List(16533997, 75100409),List(32312772, 22595313),List(13705536, 16264956),List(10137986, 71352597),List(72604301, 85421270),List(31753253, 385313),List(1184393, 13605742),List(82810756, 75885083),List(10135020, 56465662),List(12572942, 61285800),List(3452906, 61101776),List(77725080, 17745574),List(30730184, 76495893),List(51898356, 32871782),List(95775190, 3713522),List(37109400, 53522625),List(63430856, 72558929),List(79432347, 52684309),List(54191584, 78483261),List(46479161, 28528024),List(32190498, 71215479),List(26164679, 83144089),List(75064683, 1091144),List(63680705, 74355780),List(77160980, 89720086),List(58407836, 76820161),List(80942261, 80122799),List(46925122, 79454355),List(3595822, 39143618),List(67188524, 84746435),List(82383805, 80774945),List(79984812, 86539280),List(63162958, 35762034),List(35108582, 70524928),List(80491740, 54883733),List(4394106, 13479224),List(41928190, 34980457),List(46894777, 55503379),List(53043738, 75491820),List(26032263, 29527594),List(62629015, 21034313),List(98652596, 78562616),List(65023419, 53946483),List(73218398, 78806105),List(66081831, 77467791),List(26132035, 26123809),List(39570484, 19091970),List(54257336, 70295367),List(47476339, 75962070),List(5231779, 59440557),List(17300699, 3026144),List(20476978, 58286123),List(46902450, 23567259),List(22755335, 2117893),List(51469173, 9740263),List(29806865, 93833872),List(86690335, 47132703),List(45996600, 77501975),List(86690142, 64164605),List(80729673, 58924425),List(33478961, 86400057),List(89678050, 26502981),List(89412847, 47442915),List(32401496, 16440724),List(49345115, 75130932),List(48738953, 51575784),List(31921031, 88214049),List(81738250, 77300773),List(197680, 41028830),List(59227158, 14926156),List(48199907, 63501385),List(18320288, 32225763),List(72692100, 78352493),List(53611140, 73365289),List(10561719, 32529906),List(79888353, 37243663),List(63759678, 51200821),List(73320593, 39643198),List(94176353, 18884992),List(84743574, 37741278),List(59206748, 20056885),List(33443006, 36092423),List(26367508, 83851974),List(72908905, 54551720),List(6870710, 50973269),List(91857445, 71672674),List(51368875, 48918871),List(90512405, 17229681),List(7461776, 53896012),List(15855646, 3160800),List(69276061, 3165585),List(6499618, 8559902),List(3856923, 8383682),List(64604137, 20847861),List(27968391, 59397449),List(60010022, 37719467),List(61557402, 19618843),List(47507549, 88731721),List(66071314, 92249062),List(91479855, 59076517),List(58459445, 7370853),List(23721958, 46307338),List(6973035, 76273888),List(38544911, 69637014),List(26745691, 16317046),List(22910553, 15083105),List(4468964, 15558859),List(61854301, 87140987),List(72482981, 41188534),List(50365810, 29064904),List(15891514, 11569556),List(19145332, 97762228),List(39765811, 1553409),List(29317643, 44078511),List(87876126, 12254341),List(35357555, 16827954),List(42289753, 5465651),List(3211473, 3493296),List(76532341, 90051103),List(85489451, 58247389),List(54182405, 96678865),List(92452988, 1622879),List(60566358, 13368796),List(74114936, 26879520),List(98798534, 67296141),List(41491953, 63248215),List(6244744, 63200813),List(96317602, 60720952),List(31008390, 84264167),List(1803398, 13312952),List(47506016, 94626658),List(43776719, 26280899),List(94564401, 53508315),List(78790276, 20510003),List(9003573, 57601704),List(25116401, 16222045),List(61713223, 36382834),List(37672040, 40949494),List(16914785, 54471598),List(77146342, 6214517),List(8782732, 69126828),List(79130504, 37356573),List(65962944, 82045556),List(3021160, 31533948),List(14224312, 54638145),List(11107619, 18456641),List(56494637, 76240459),List(75464135, 31866251),List(45901801, 51763730),List(5989142, 80750538),List(56635962, 47556123),List(50066642, 88246656),List(15965632, 32889317),List(1640418, 79985978),List(22215919, 75596176),List(53329209, 17731838),List(28015940, 10242138),List(30594132, 44844054),List(38754806, 98684497),List(14938844, 48886197),List(22339226, 69907747),List(10909537, 51183871),List(7709682, 5402868),List(40052334, 67434087),List(8482956, 91631381),List(29757028, 14698730),List(95942199, 72843535),List(1504341, 79205004),List(40287766, 95606762),List(12175333, 71031610),List(49911386, 31438997),List(90041616, 4744669),List(43312381, 76173217),List(94502355, 34728687),List(22698097, 95645594),List(44942018, 3405038),List(63666756, 41574424),List(42278958, 62673844),List(61031540, 45665828),List(16223738, 27049553),List(72570053, 92451957),List(95636698, 35845003),List(3582353, 15226264),List(54636745, 8289379),List(46977165, 21522610),List(86532165, 3464372),List(93656981, 50455597),List(31387700, 82764591),List(74938863, 48224921),List(36673665, 61866527),List(20096427, 46407829),List(30581015, 35130599),List(5066928, 47533040),List(33110855, 67314619),List(56841398, 14881915),List(56371822, 68861893),List(52203638, 76952740),List(5455325, 48187728),List(6300354, 90222406),List(59799136, 42181941),List(26334311, 33817789),List(87570751, 23055064),List(8125177, 27352155),List(66941422, 75766460),List(30593528, 60890805),List(73716956, 17289018),List(75068079, 50443573),List(45352078, 80870917),List(61910034, 13662752),List(63919879, 52887043),List(7039766, 27724495),List(96234790, 59979285),List(24847894, 89028625),List(97504776, 73876084),List(67460443, 20717240),List(83194168, 70734058),List(36271136, 65202039),List(51541751, 83491421),List(66218994, 20348321),List(90852110, 66447370),List(58010294, 33643629),List(26790051, 95611201),List(11050252, 61617061),List(51268856, 3046186),List(99028328, 31108525),List(15450185, 43753014),List(5680283, 53467009),List(45644641, 70368352),List(10651456, 75170243),List(59439664, 23028387),List(62111201, 25571446),List(27589419, 83045705),List(89871922, 43116102),List(43446774, 23541055),List(52971570, 50326295),List(36884097, 86357017),List(96868230, 70177932),List(92441787, 21542500),List(64260564, 89469142),List(4811402, 85155717),List(53718881, 62684922),List(46950603, 57395140),List(90251771, 7531664),List(55524416, 929953),List(1918068, 95610545),List(62112027, 46756665),List(65496045, 32882393),List(92989285, 68283811),List(31391930, 22897752),List(53321493, 44047534),List(63817096, 69547942),List(12686112, 64524305),List(68581674, 39350324),List(76963732, 33487385),List(9154588, 73368518),List(79818632, 13359982),List(27652751, 32001500),List(4627039, 61761784),List(22242520, 99348631),List(89431830, 46706849),List(36768281, 90881392),List(2417577, 98118847),List(13067489, 68232212),List(85728121, 24116758),List(89011240, 63499047),List(8698056, 10002594),List(13227368, 2239786),List(4958096, 19236265),List(43157616, 32221820),List(93917020, 49292154),List(66154356, 88871630),List(18552521, 42337481),List(74223476, 75085511),List(3569377, 12703511),List(83426327, 68638480),List(78900764, 62102159),List(16581174, 32872365),List(76915129, 18827486),List(67067008, 67922390),List(45917453, 2605867),List(61491275, 44628674),List(88622473, 90228717),List(61286325, 7221833),List(90465253, 57903203),List(22842478, 73025386),List(26330521, 41842853),List(72454845, 24853522),List(82273297, 91142300),List(47924289, 44058493),List(89588834, 85300837),List(9638096, 22155851),List(94761325, 30439873),List(1056256, 80471801),List(91193285, 74904364),List(77241719, 88671076),List(76364699, 3219214),List(63626635, 12651730),List(17235068, 97098441),List(82224486, 83856388),List(10059529, 81867402),List(76236129, 38664299),List(75063383, 35389562),List(45112391, 66342630),List(47165121, 92145094),List(21853777, 27859644),List(14069717, 94782179),List(62806838, 88677446),List(75114701, 97091354),List(26800495, 73405946),List(86399586, 69750608),List(86706044, 35984273),List(66738045, 79002892),List(84569301, 85649725),List(87863778, 30990135),List(31296043, 82411961),List(31134921, 33311081),List(76589358, 65334111),List(70095590, 86586006),List(71965357, 23170221),List(68926894, 91043999),List(9768637, 30755030),List(81963334, 99763095),List(8248023, 72082686),List(9028827, 32822740),List(77190705, 22440762),List(86723239, 27362978),List(41946077, 69850035),List(10605073, 54954294),List(69028325, 24279477),List(23549698, 14721150),List(33853752, 34619659),List(3310272, 29753535),List(74117762, 91449840),List(28189891, 25584120),List(59552431, 8282759),List(99098523, 35232766),List(78989158, 35315876),List(56439080, 46230345),List(17209550, 12160557),List(48766481, 50810125),List(24469694, 57509496),List(29151863, 14380485),List(22444431, 3519509),List(68239237, 65399729),List(60866770, 46824833),List(12289438, 57987266),List(70477456, 97138641),List(95442229, 65698322),List(95341349, 18523713),List(23499159, 62355765),List(62029310, 78680056),List(74450097, 30328040),List(39137532, 72999473),List(65136789, 38841915),List(29764123, 17711286),List(44967792, 96329647),List(26517389, 70667936),List(15253539, 83455786),List(23087984, 82370930),List(73087491, 44310469),List(57482372, 62772140),List(71863458, 17430691),List(20163694, 90638058),List(15349145, 16277534),List(27426837, 81836706),List(34363460, 67774168),List(3779993, 176318),List(93571470, 91625048),List(53780873, 34975676),List(97687854, 19062757),List(2021780, 59962747),List(82522312, 16649373),List(93386304, 57308741),List(44772241, 7872829),List(91240275, 90068582),List(20680190, 15555464),List(46348419, 29254718),List(50776382, 80559719),List(4087154, 83956877),List(72208532, 65217668),List(41190642, 27237319),List(76812816, 63328143),List(75286207, 49777911),List(24018901, 48239188),List(8709796, 69172540),List(85722835, 18738223),List(19849579, 94363340),List(28452611, 91376428),List(96949633, 92069138),List(82504349, 36476642),List(53721507, 47638818),List(76753177, 66664800),List(96115458, 426735),List(16425699, 48222129),List(25973796, 90017675),List(48112722, 86463993),List(4323767, 43064991),List(61393855, 93212003),List(5609429, 68317274),List(7331605, 47841373),List(64836327, 77071864),List(96254214, 93359583),List(81678340, 85564791),List(25992154, 23931138),List(67114697, 68073805),List(63672147, 85913686),List(88254579, 45010655),List(65323575, 83852521),List(1091576, 78393980),List(34455366, 79119371),List(62020798, 55519057),List(63433934, 16560348),List(98391122, 98817251),List(98207858, 48139194),List(73536998, 77449901),List(36560725, 76193863),List(37382181, 47456120),List(13015853, 96009820),List(99781173, 64365366),List(82333614, 75103182),List(17625041, 48755368),List(59740064, 54745109),List(24512145, 34657010),List(76308774, 41923135),List(40897814, 94048655),List(32023139, 78488245),List(33929956, 69983119),List(89762861, 73542669),List(70138964, 76769588),List(99673580, 64796978),List(77804522, 88894111),List(17848727, 47823391),List(83751595, 9016154),List(86971973, 32576201),List(80675944, 82622383),List(93527726, 13205662),List(18270518, 46709934),List(36863102, 91809151),List(84255250, 7741400),List(65436268, 72187382),List(88495886, 30143032),List(66796773, 47680599),List(91955095, 20964299),List(96151605, 10689469),List(7603996, 2178004),List(37066041, 75375445),List(92539153, 10732074),List(25167123, 4884393),List(29712902, 1901515),List(86792360, 6251123),List(44158111, 24932402),List(5914194, 56934295),List(14593385, 3358678),List(10800555, 4450097),List(56978417, 80920245),List(88283750, 1109878),List(38981951, 31260759),List(56754776, 540207),List(89425611, 66990858),List(7960448, 22298033),List(32002586, 85710269),List(48492363, 15516688),List(93020314, 17752746),List(60090648, 59172254),List(74488658, 70781752),List(41356383, 79043535),List(99022003, 71875812),List(65239665, 83883764),List(94741501, 83749474),List(26555894, 38248782),List(16700633, 96319754),List(68040576, 73596727),List(96820564, 59111841),List(4417212, 17377615),List(97000130, 99218105),List(16694884, 69250791),List(51990761, 58196203),List(25652137, 26166590),List(97449864, 66218749),List(82600877, 67203300),List(458096, 98461190),List(12424904, 77547321),List(63677091, 74173805),List(82059382, 21094565),List(37157122, 44290972),List(26013060, 45291675),List(71802100, 8635618),List(88873551, 72739773),List(33276073, 84262089),List(40702556, 36592051),List(54861164, 35840532),List(1312946, 16292294),List(77873986, 90879334),List(26278270, 95200638),List(84982612, 82003061),List(90246843, 50644552),List(35390074, 76937231),List(14308105, 46870550),List(71573251, 22028150),List(72106365, 52164154),List(84981623, 5219020),List(39687853, 34781913),List(35581838, 86089158),List(99363245, 85708032),List(45734429, 84432621),List(76312485, 64998898),List(68027891, 37114322),List(66889740, 84669900),List(10489414, 35555183),List(38701254, 58479409),List(26700546, 65818194),List(22381920, 53345188),List(36548669, 85874328),List(73616950, 31375058),List(14725920, 94601506),List(64446141, 47477657),List(54866930, 29580867),List(80160122, 49100814),List(64022262, 44879740),List(7489971, 50203094),List(77398843, 65337474),List(22772878, 59567982),List(80900188, 67435118),List(79928834, 1679817),List(39669834, 27352440),List(36823993, 56013320),List(32056979, 40385760),List(29885439, 55754053),List(18354539, 67826973),List(13883791, 59304800),List(73109142, 18052975),List(59191575, 16315575),List(8952103, 96040562),List(45826912, 91201069),List(50790461, 79358240),List(88621654, 27419143),List(91264255, 80904316),List(6754246, 62711292),List(60150630, 56857521),List(45516317, 15946244),List(95131217, 68286421),List(28276239, 46346285),List(47918452, 87827372),List(20773722, 20460750),List(61311916, 33177436),List(5121436, 6052716),List(72386457, 97363960),List(88074079, 18276195),List(31719874, 92198597),List(48571064, 37720693),List(70595211, 80048885),List(65576195, 19218913),List(66186105, 97037756),List(83890014, 35275797),List(38678595, 23894400),List(56024140, 19653275),List(50699506, 68150706),List(81178481, 38708743),List(28772299, 71845779),List(94244117, 88352827),List(9462279, 36298120),List(39328678, 23627427),List(20795246, 36637042),List(21121227, 10083958),List(9818974, 71748950),List(87068166, 58188444),List(31622936, 53740497),List(42466345, 26827542),List(97225536, 67419103),List(44840216, 16570053),List(68834527, 80499301),List(98701241, 80532151),List(27105641, 33722045),List(22102388, 44947195),List(72649952, 83061221),List(49358568, 95781829),List(76907894, 32627538),List(33838240, 58179004),List(43448677, 56434891),List(39527866, 37756953),List(19636393, 58414278),List(9137046, 18380926),List(73558207, 80357525),List(28369026, 5548555),List(71389610, 12126061),List(88621953, 37638516),List(80586381, 41007678),List(37614553, 78278466),List(45588835, 26740765),List(26721010, 69790927),List(60134187, 67849636),List(86125742, 31111975),List(87317555, 40900066),List(81554457, 9832916),List(44574969, 18505625),List(40114570, 15870618),List(68404213, 22539541),List(7056176, 85768546),List(65433077, 19950457),List(59619638, 45720126),List(81688906, 45124165),List(92744784, 90275445),List(21937160, 95213649),List(61255058, 78494424),List(54136057, 50957861),List(47395606, 29611043),List(15673771, 57764828),List(91214215, 41102371),List(53384333, 41251306),List(15150426, 64764677),List(48499907, 16567639),List(3619698, 42402471),List(27472995, 85430543),List(25491189, 23522382),List(40402719, 60001767),List(29891581, 79395209),List(71034670, 7667296),List(91084566, 60219058),List(51980285, 21545512),List(74721446, 19688374),List(75865378, 52363912),List(98643024, 92551161),List(95611002, 7806536),List(34767488, 50968272),List(71769843, 40390985),List(314338, 52085752),List(43231307, 67545112),List(58266235, 2580921),List(41593923, 25749343),List(81923314, 48712947),List(52312450, 3413550),List(6245788, 16297196),List(44559078, 49497148),List(67645912, 84692332),List(1592410, 27171174),List(6373553, 19892312),List(34392366, 44615517),List(88729614, 27633132),List(36180607, 9627718),List(8565474, 26014868),List(62687364, 89050740),List(9961453, 44992449),List(93718695, 18233925),List(51479736, 18757052),List(17268621, 30262187),List(48717123, 16913398),List(71156128, 22675606),List(97973166, 24792259),List(42872671, 10875868),List(17187627, 74727944),List(69542728, 54781067),List(26010846, 53247282),List(90064060, 87773745),List(89219565, 75625006),List(67140165, 81065737),List(76733222, 97906913),List(21916371, 13915255),List(2524671, 93598972),List(78034384, 70728479),List(99012278, 80409674),List(28627420, 19612369),List(34457852, 46265003),List(98297864, 72288576),List(96281130, 58456040),List(99617954, 47766501),List(50551293, 44628873),List(26176918, 53565606),List(70208905, 46120821),List(54964210, 86722782),List(8189780, 43206914),List(31736313, 12856400),List(52406318, 35060860),List(28615698, 1559809),List(92136708, 77309622),List(82528054, 91493110),List(69828973, 3135210),List(50547314, 44354570),List(84876887, 9452974),List(49255046, 45070723),List(26303271, 34129037),List(87514597, 11341832),List(74913680, 12903653),List(53107276, 35462834),List(51832442, 15613635),List(72241187, 34555043),List(65603047, 96414247),List(9508617, 15014781),List(80245285, 82759104),List(97813071, 9249814),List(27850700, 75671106),List(97200517, 85260456),List(53461665, 63220953),List(94104812, 17964635),List(90071639, 41881233),List(47957287, 3356490),List(82734277, 50747835),List(3561859, 49468824),List(81027420, 13930024),List(16326208, 11991091),List(71965106, 32424206),List(26898150, 76294130),List(36001680, 88468836),List(90320581, 72314917),List(43158168, 94905932),List(20194860, 92281902),List(20085504, 67730778),List(56826322, 69848572),List(12316770, 4459552),List(72514274, 78414565),List(68081958, 46105727),List(76283191, 31536939),List(57555377, 69584061),List(72345733, 5943290),List(75775528, 59345555),List(11533, 91171837),List(50782814, 2028510),List(13950379, 24577687),List(63756, 40748052),List(45420183, 5596439),List(51132369, 13064316),List(64679476, 33429387),List(93626668, 38128599),List(65794517, 85432266),List(95019367, 21975917),List(77668672, 16448075),List(47315650, 24433530),List(99318980, 34621526),List(94299303, 97785219),List(63681382, 41276401),List(15742267, 32994350),List(12238873, 36991093),List(77678578, 84302634),List(79086169, 86726436),List(63380594, 45832827),List(92951751, 1915063),List(59613414, 99045989),List(75355631, 22612662),List(32905244, 5613648),List(98982424, 34442076),List(36858158, 12985814),List(7700556, 24587267),List(30355129, 48411787),List(15394440, 38141198),List(64863198, 52613856),List(3148288, 14171057),List(98851609, 94093772),List(76851060, 31496693),List(1895089, 54044189),List(34469396, 3108367),List(6613215, 77701753),List(93624061, 73933041),List(19215472, 95495550),List(90504415, 45739337),List(58643266, 53271920),List(47636751, 33583354),List(72172353, 65164046),List(43500526, 92079374),List(12856006, 71046039),List(85288745, 90311122),List(71691975, 81494912),List(64291454, 9211027),List(82774942, 87130768),List(25534458, 84447028),List(43413497, 58732515),List(30015715, 66237132),List(38738747, 5228188),List(92606548, 48079050),List(41646415, 24145295),List(1282327, 76336238),List(83337729, 93529181),List(82520721, 69510573),List(54504063, 6176160),List(35303451, 93403314),List(42579974, 23656744),List(43844419, 80961810),List(35987147, 33250318),List(19196631, 19972824),List(70550149, 87850359),List(71819493, 63612461),List(75706088, 29524871),List(59431624, 6694070),List(569669, 27443997),List(97094336, 12793684),List(6517704, 28006213),List(74493664, 20910926),List(9936063, 42058362),List(33099428, 46529424),List(9680763, 87875094),List(79505762, 73776837),List(52626722, 73143916),List(80318758, 24217968),List(15101217, 91673073),List(25632242, 83346784),List(94451310, 19423714),List(4895341, 15852822),List(50758848, 37066933),List(66008091, 67384091),List(63443610, 43552400),List(37363657, 89183132),List(73402314, 4250454),List(1348242, 76119590),List(29743493, 20913302),List(26135517, 22435984),List(41019164, 50949903),List(50288889, 35411661),List(42339534, 3365162),List(31054090, 18693664),List(46492940, 43967227),List(46831480, 34940888),List(24402560, 22812241),List(75845472, 4882345),List(50648487, 40755891),List(26139391, 67248174),List(57384888, 74516375),List(39790515, 80675438),List(62477211, 87418681),List(79715755, 20081393),List(48213684, 78464869),List(83817130, 56391184),List(4657905, 2656899),List(51883010, 14780395),List(81755847, 6679889),List(86896075, 26022448),List(3487598, 85488546),List(54250189, 4914923),List(81619719, 84696889),List(10477051, 92533487),List(52127666, 76647434),List(44630292, 18683231),List(73427205, 97574195),List(53224868, 60798569),List(94169557, 71694064),List(40092517, 1628556),List(59295285, 90635452),List(37472393, 25795285),List(66926036, 53415220),List(98833067, 56164410),List(46104987, 49628958),List(97016570, 22652184),List(22298273, 77694019),List(20394276, 90660955),List(60918465, 64071851),List(50651011, 46101869),List(20520580, 37427398),List(44368664, 47078401),List(45852983, 3761550),List(22233368, 85117593),List(84167690, 59953382),List(75570830, 13259725),List(69274398, 65463825),List(24448106, 46906999),List(51808195, 92026127),List(23957250, 41692441),List(89755739, 89961123),List(29965655, 55046440),List(18553466, 57293104),List(14249013, 75426879),List(48816173, 84482797),List(43118560, 67161478),List(79427825, 76293945),List(12177878, 52900200),List(19523344, 35632587),List(61759887, 60409601),List(69704800, 30600851),List(29640133, 87058682),List(51330857, 3704509),List(38623213, 52776613),List(14648350, 35099909),List(65570438, 26403472),List(87962167, 18512088),List(23102764, 47211743),List(81383029, 49240781),List(24714028, 13864909),List(70374485, 44392196),List(17670557, 82686765),List(76442622, 18484034),List(24955924, 18549848),List(85885411, 49662189),List(9959396, 30030945),List(60920082, 1051125),List(60607532, 5872455),List(27722403, 51238192),List(92450764, 21081220),List(19999068, 76049092),List(72965784, 73606670),List(50725602, 36880899),List(5516062, 80800369),List(62523588, 90294005),List(79734688, 94671032),List(99360876, 51062288),List(14426183, 68091978),List(94776208, 59810494),List(85573860, 8341746),List(13357007, 52329920),List(39866917, 65889247),List(49433021, 68407040),List(39455464, 26310391),List(48947020, 47492188),List(63273430, 54315272),List(87479304, 30418787),List(50955755, 53001112),List(98837231, 92741825),List(5090839, 77265579),List(21320621, 61630785),List(83418648, 58303312),List(9572569, 57261401),List(71278558, 99128570),List(80938397, 15728890),List(11013203, 55356043),List(84091695, 85848390),List(71483896, 65810811),List(72670619, 43405587),List(24663456, 88583731),List(31721464, 77537921),List(52703293, 83736082),List(48025771, 94715339),List(44669697, 67035074),List(56772675, 6173869),List(52164258, 2749002),List(26121803, 15331403),List(79605231, 19183170),List(76133830, 83246485),List(64063652, 42960218),List(27128946, 93212184),List(70095544, 102455),List(87628729, 67514316),List(16828511, 84612498),List(1048385, 44730643),List(48604734, 12160055),List(70797379, 79834793),List(76882046, 67249456),List(63406836, 5677003),List(56274, 47051765),List(68955573, 43803087),List(9074145, 96361758),List(9228975, 63881431),List(96914520, 99408495),List(45269495, 80816498),List(78779908, 57551254),List(18468175, 94678588),List(2761488, 87978637),List(94507365, 38650101),List(98353498, 3598426),List(26021370, 8953061),List(80671501, 83905823),List(91855010, 48313010),List(38572471, 54329589),List(58050916, 94215707),List(15186544, 28787257),List(88630953, 90175053),List(29851862, 81738699),List(60446135, 79781729),List(73156619, 24463197),List(27094344, 70962505),List(14674183, 49475597),List(54755810, 6174147),List(98740794, 55321552),List(64674388, 92561204),List(73491164, 69920615),List(9898568, 73694070),List(73203106, 99199207),List(62717310, 7984884),List(87950974, 81768094),List(61129842, 53875137),List(70858041, 51740217),List(53574138, 9025044),List(24675363, 36937804),List(66582860, 69504245),List(14248357, 68641402),List(97599609, 62240662),List(92290838, 50125091),List(72382679, 58398893),List(10493791, 49345612),List(61302680, 88647968),List(63469846, 41403871),List(76801564, 33903729),List(63017014, 50038386),List(1353880, 31473733),List(37561813, 77490379),List(55153429, 83142599),List(94629423, 24205903),List(97118964, 61249987),List(11318369, 10486509),List(7074473, 43582634),List(96756313, 51545065),List(79257090, 8685611),List(40199108, 63381374),List(3831681, 6575489),List(19129478, 90060081),List(86268077, 14239669),List(79016673, 61727624),List(26380310, 59637331),List(33509943, 39839255),List(81299610, 13421540),List(9592438, 94403453),List(70778236, 23757456),List(76340381, 15869206),List(93946791, 65719064),List(71251209, 87892784),List(5709889, 89372166),List(75742726, 49105360),List(42689458, 61434599),List(41446426, 51810596),List(1998963, 63486066),List(35231461, 18905502),List(77098718, 13523580),List(64566924, 48465145),List(71928485, 75476940),List(64136469, 56081481),List(16685592, 75625320),List(93164788, 82216551),List(73074810, 65860133),List(16256422, 43092935),List(29778702, 60555805),List(20385350, 42108256),List(97684522, 85495528),List(78458821, 33664870),List(59908790, 50311350),List(15053031, 485200),List(33889894, 65370198),List(91699915, 3582616),List(33665327, 24814065),List(29051896, 57406547),List(24205292, 53954047),List(65703822, 58090465),List(94276234, 55211471),List(61669342, 44363180),List(37175427, 72782128),List(91893641, 8128957),List(77461771, 63472334),List(90084310, 99634511),List(76264056, 56269975),List(67690277, 37802482),List(14346466, 79988017),List(90654757, 80237757),List(87789476, 54490821),List(81069566, 7713455),List(42709754, 35462763),List(13170408, 88239625),List(69202958, 37251602),List(4717833, 46479492),List(98513621, 69560728),List(48105038, 39202683),List(85094897, 27963486),List(93562708, 23513300),List(26707920, 29207340),List(72960795, 84412948),List(31543239, 8110124),List(952012, 25527471),List(4235769, 79186113),List(21056557, 21429250),List(12306555, 22715790),List(88319437, 77865834),List(90575210, 71904244),List(19949982, 97346578),List(78343190, 29644496),List(17143755, 39279950),List(3920638, 97713677),List(84520279, 79647443),List(52673074, 61107318),List(97773565, 41332130),List(21530909, 8988682),List(86305192, 64393761),List(90155988, 70261672),List(94511641, 59802390),List(29767727, 56506023),List(58206550, 4821290),List(95094956, 65701648),List(2559717, 16801191),List(6353162, 40679895),List(25041943, 56716877),List(56949586, 94973655),List(79155163, 63121973),List(96791686, 65602891),List(27175248, 5889402),List(95721641, 43380544),List(83466489, 77616854),List(56765942, 88699384),List(79624341, 31404379),List(63124197, 13207786),List(82184716, 98592927),List(14752593, 71743841),List(44975871, 93382995),List(58840124, 93354408),List(21622458, 98357398),List(30670722, 94614782),List(91757877, 341796),List(98659274, 44948715),List(69033622, 77052938),List(85384962, 37257111),List(44212660, 47317207),List(99293192, 2705132),List(60217690, 8497579),List(34339054, 32297066),List(93878971, 44472496),List(68029103, 94231099),List(47987886, 69301194),List(33816449, 16198520),List(36366611, 75954382),List(49539546, 66377251),List(91404250, 9470756),List(20926809, 8605658),List(56775880, 11712581),List(19500291, 3691868),List(45811813, 41011056),List(77303115, 60201105),List(89640889, 86868849),List(73567010, 81572712),List(19871596, 57246300),List(11259305, 29716997),List(22879184, 79883945),List(18866150, 20479909),List(13336703, 63639222),List(59865494, 77304586),List(67147582, 23509463),List(41620921, 41618815),List(72042469, 9678010),List(75829407, 53193704),List(32837639, 93118691),List(91673475, 37191893),List(73632495, 79827906),List(55958181, 81027540),List(61280090, 87004053),List(44272385, 19080991),List(52254194, 88015009),List(73594154, 20228365),List(27734977, 54287597),List(6627828, 15921656),List(69287756, 3186575),List(10700723, 8300130),List(94967584, 73375809),List(3446090, 90718656),List(7537989, 87723475),List(28597722, 90395886),List(79558365, 93547539),List(24012616, 49421789),List(38172930, 91030852),List(31090580, 84807793),List(85393284, 3707584),List(41505569, 17110458),List(70151716, 91349061),List(783369, 11584251),List(35940624, 6166254),List(58782162, 32615096),List(18422471, 80695645),List(4383563, 36984577),List(97923918, 62518929),List(57157287, 48626842),List(13985838, 48623563),List(254960, 88955747),List(2712688, 47231747),List(92089951, 97663981),List(91508743, 39933016),List(31374564, 87726835),List(97505383, 63149093),List(54519203, 82889703),List(32709112, 85128610),List(17122145, 60683447),List(95371230, 29259832),List(71064379, 72128975),List(56443611, 97550907),List(99226021, 42168003),List(66987647, 63082131),List(78725401, 83493359),List(20621374, 5680248),List(82361581, 96334905),List(84118989, 19615301),List(6846589, 40206721),List(95954033, 69160781),List(5354373, 82457993),List(1961548, 77988129),List(69781199, 53720833),List(3484693, 70651104),List(6299299, 80438401),List(1263434, 39973819),List(28074440, 78893587),List(25122121, 30691362),List(97430497, 94544987),List(27255586, 11378111),List(13797357, 70735115),List(87108876, 25509510),List(82027143, 98791527),List(19109655, 6659354),List(17841012, 2490789),List(1033655, 3932522),List(95271109, 45507983),List(15239175, 32571604),List(72175133, 11119793),List(50769490, 76660681),List(7846612, 97886016),List(9937536, 99563898),List(70013349, 46716050),List(1959991, 18475501),List(55877217, 4308931),List(54061044, 35631621),List(81268247, 99633230),List(91270825, 70371296),List(2769779, 56146754),List(22556355, 37112575),List(65390673, 23673815),List(27863715, 16038476),List(35367136, 99551372),List(26432020, 91783244),List(34721428, 48631271),List(30502540, 83238992),List(95738689, 80380607),List(35772297, 67171581),List(34088133, 42011882),List(69099822, 32436977),List(93944277, 43406888),List(55814709, 72529752),List(41386333, 36400794),List(63819675, 1562993),List(54672932, 27276956),List(82143933, 14758605),List(15678940, 25699614),List(81757942, 26015988),List(78462647, 4798577),List(49593431, 1089533),List(12994566, 572988),List(75905394, 98623321),List(73737555, 65549680),List(84446920, 53444506),List(54250428, 27015006),List(90259349, 90764516),List(45613345, 90920800),List(25473651, 86493060),List(2623264, 13000921),List(86937800, 32743124),List(24965915, 73977303),List(71744217, 25751690),List(26044865, 93409223),List(26504079, 78829456),List(7648713, 81629785),List(5355778, 42624788),List(98245795, 21621456),List(46302557, 3746057),List(31015405, 77210702),List(2670073, 4747126),List(8013588, 30079795),List(70542621, 79659145),List(72337591, 72137672),List(67129524, 80818377),List(90237320, 10213949),List(7331596, 33453606),List(48875126, 5574795),List(57911513, 57559669),List(90136273, 32320364),List(85945072, 76831267),List(75459796, 23130937),List(60717165, 16303426),List(3264370, 67476640),List(36902145, 81030496),List(94390836, 51341653),List(93740305, 56346388),List(80083847, 94923793),List(45448683, 935944),List(55215014, 68335174),List(88942809, 52698067),List(82326969, 86480841),List(93358083, 43290592),List(15279844, 98963098),List(91856178, 53621389),List(36878357, 30903542),List(77551105, 30241994),List(28248645, 72413025),List(29826453, 74610280),List(16355, 73852452),List(52852779, 88179768),List(60846167, 97244831),List(82202290, 56651737),List(85520440, 1720464),List(22058105, 62456557),List(91259413, 76660783),List(85491500, 39733419),List(90705827, 38098141),List(69980165, 46197638),List(8730443, 95467286),List(42253680, 57781499),List(35473873, 889749),List(22848428, 96931783),List(62741883, 71550699),List(26723737, 91664270),List(17209559, 4195045),List(19751472, 99849757),List(17396110, 12084627),List(35090672, 61953601),List(97725847, 30541673),List(54235536, 92159321),List(68477351, 85990048),List(55715399, 35564053),List(99443225, 95766979),List(71468569, 24417076),List(84033618, 56243480),List(43322114, 82722109),List(62395944, 66585721),List(55515383, 11104427),List(31901890, 53673873),List(25079095, 78176777),List(22413209, 16170016),List(28307098, 61455296),List(81546694, 54664120),List(59374681, 84308344),List(80267765, 59895002),List(20862006, 18373266),List(80758991, 79066904),List(33041135, 63760136),List(92678459, 70372723),List(45750198, 4021999),List(62943882, 2277002),List(7542236, 11585024),List(41087392, 20229888),List(26439249, 51646520),List(12796887, 43696582),List(98074704, 19177151),List(45244146, 70150796),List(23231782, 12006061),List(7024312, 44731834),List(9016129, 41780973),List(13520221, 79405477),List(29464290, 78055748),List(10892352, 28585767),List(99028333, 74813104),List(90392760, 27272257),List(68880947, 37491024),List(88820451, 65450097),List(43229552, 1195551),List(34203374, 10815798),List(66206160, 9392024),List(12790626, 49224875),List(80354981, 94273481),List(43375526, 53585574),List(13869697, 13863177),List(47458389, 77410809),List(46714281, 88615230),List(36778269, 94099893),List(18347892, 41364078),List(93000552, 64217027),List(70319855, 3386234),List(32638673, 53737949),List(58691534, 50187255),List(15583346, 87759662),List(585847, 4044418),List(83537624, 26305736),List(5275934, 83587688),List(47150901, 17027141),List(30311208, 4651848),List(15830078, 23673819),List(83642954, 88159311),List(36471050, 86380969),List(83179501, 54931334),List(12209015, 46513466),List(452208, 37241508),List(24965484, 36450833),List(2515221, 50892850),List(13560042, 58720151),List(10989972, 65645277),List(38103613, 6554927),List(12912145, 1222250),List(76743971, 53814132),List(56565657, 64579066),List(37891726, 38740113),List(54739022, 63840349),List(92776756, 50198993),List(26821841, 73049933),List(25875957, 1912269),List(20264651, 97012015),List(17686247, 35301788),List(88968241, 32257855),List(63315540, 40481599),List(72116181, 98009176),List(7347601, 25715008),List(91590473, 50670577),List(68207556, 87406695),List(36498421, 45945012),List(2891228, 34380192),List(99943668, 2529176),List(59380061, 19214643),List(97350149, 4299814),List(49296144, 29524325),List(76730342, 64690867),List(88888861, 10232831),List(3141718, 72081643),List(66326508, 43648885),List(65151050, 33995313),List(14064893, 14182017),List(84817737, 3211771),List(1315008, 53773656),List(83842251, 88256322),List(43990575, 32049997),List(44223688, 43816804),List(33100203, 98433321),List(97052709, 22997958),List(47321903, 9320344),List(61368102, 7532111),List(24551680, 97196987),List(97199365, 9565341),List(76332759, 7905722),List(35329187, 48229893),List(32427380, 72884342),List(1909724, 23721948),List(8837557, 575551),List(1153699, 91193282),List(48494645, 19491400),List(60819742, 90902587),List(74239505, 55292952),List(54110049, 65828038),List(41418971, 70187065),List(73628940, 1728454),List(62017359, 88844742),List(98063266, 91483916),List(11509191, 77831618),List(58613367, 90989398),List(49085751, 96589426),List(46016775, 40435793),List(31489519, 95188467),List(13192461, 69107524),List(17343814, 45931536),List(17095343, 54959787),List(85522029, 21280551),List(11323713, 77765424),List(34084637, 93392252),List(98152206, 16225485),List(38086828, 54824459),List(74101864, 80226427),List(13123964, 32384754),List(85786062, 28738620),List(86119109, 60231419),List(25601586, 23789345),List(39731509, 34458492),List(42700941, 83251408),List(65598454, 90157898),List(19178418, 92398581),List(3050055, 46793301),List(53703831, 80944833),List(10787333, 23698787),List(70638207, 89255610),List(54556427, 16660626),List(84713948, 51960476),List(84965744, 63966122),List(65138594, 29220438),List(13231127, 3337447),List(91142322, 19842113),List(90061404, 85517256),List(76494382, 5992114),List(90979772, 53177304),List(71461624, 20076456),List(42371666, 92941265),List(15630557, 76646986),List(1610201, 48624521),List(98305001, 21264752),List(37825302, 33587812),List(42367766, 75677127),List(4431586, 50860759),List(52433764, 33469475),List(2284705, 69658930),List(61974166, 97941357),List(93638055, 21970428),List(74938539, 69815071),List(3638541, 39415914),List(48658555, 72769321),List(39592060, 71133466),List(300522, 84640891),List(59068219, 38387613),List(82492937, 9658440),List(59284305, 85192566),List(76164232, 97491120),List(15279649, 73331639),List(19663772, 58392586),List(28553162, 42519864),List(41709579, 59726457),List(69427042, 28500024),List(52987453, 18778862),List(36085687, 75872405),List(8846440, 61896892),List(4771358, 62749284),List(19393068, 71361329),List(28894391, 29928140),List(33413553, 44030778),List(15502168, 16486915),List(12545262, 26213640),List(22191895, 47381406),List(39254788, 73582972),List(10096386, 92258510),List(5879314, 84057678),List(43937105, 76511709),List(62502916, 49117360),List(36123315, 22471617),List(63744155, 2628300),List(5616839, 14937098),List(61981949, 75773484),List(61643784, 89708595),List(35886339, 13071307),List(87451094, 52030126),List(6917358, 84914685),List(93354263, 68759150),List(75424633, 84123105),List(40218106, 41968141),List(66987543, 52220445),List(40739123, 38833377),List(72967881, 33223341),List(5778690, 61661655),List(57449509, 24933595),List(89002018, 5000693),List(99303720, 4942290),List(77852556, 57405319),List(15991088, 83465645),List(8810420, 37535644),List(96555050, 31473835),List(62251814, 41386035),List(33609480, 71291937),List(81208748, 51201554),List(23001972, 96513108),List(21508967, 28316115),List(11607084, 54451671),List(92961968, 74412709),List(44533800, 2822428),List(54674254, 75500226),List(86181128, 42928151),List(95989475, 67478952),List(5273423, 16592305),List(55326521, 40422257),List(79374005, 68745106),List(31870144, 20415936),List(22669694, 79096349),List(41341188, 99395282),List(19931835, 54565570),List(60080905, 23356020),List(14212692, 9443167),List(6843849, 12756953),List(59887912, 2075359),List(12840398, 2359773),List(77659947, 94493332),List(91462214, 82570726),List(83781715, 52427708),List(73924252, 85673713),List(66590160, 81166519),List(61936554, 2624570),List(84048453, 39919509),List(60810308, 235996),List(62713402, 27554152),List(64478604, 22736202),List(64921964, 31388105),List(59806018, 79841503),List(53118247, 54308496),List(82900220, 15532416),List(79398891, 84040962),List(39163035, 87714201),List(33969239, 34235249),List(75254806, 91963545),List(8610979, 92692025),List(11738145, 14037102),List(46391134, 12620392),List(25984921, 62423879),List(7967361, 83312684),List(18147364, 51950635),List(35146630, 93932003),List(4098404, 52509733),List(11307912, 2547972),List(85286446, 27717684),List(32005734, 27228817),List(67243577, 67545815),List(15237645, 77851635),List(760961, 90576516),List(61940461, 13712531),List(25460907, 25935249),List(1704318, 87664968),List(67732865, 15242871),List(44208278, 33761739),List(53931515, 75584524),List(26707521, 54646742),List(73644807, 72071581),List(19998806, 38793239),List(26761226, 98715866),List(6904852, 22148022),List(46056751, 66162173),List(49237482, 17253914),List(90921871, 50219298),List(34578761, 78195028),List(6684683, 4749169),List(16988687, 43052142),List(78003293, 73161888),List(24368075, 80115912),List(64850620, 44403547),List(41639688, 5964213),List(39664175, 47470850),List(25891802, 79599359),List(37904493, 93419795),List(16831668, 12388466),List(63816086, 68745733),List(76666302, 86822519),List(2177461, 42285036),List(29001239, 68928465),List(16262700, 80999767),List(95758256, 79610519),List(5045016, 48390321),List(6695329, 22578723),List(89559327, 99128162),List(36178378, 23946304),List(80903939, 70411341),List(54191681, 19953250),List(55250705, 14223230),List(28155567, 16166337),List(3039288, 7795088),List(28406752, 99740643),List(44616089, 80044752),List(75434515, 58589016),List(46142467, 49730487),List(81291654, 56771916),List(39836664, 14564695),List(51163196, 91374472),List(54014883, 39393438),List(68878975, 73317129),List(63244315, 1415283),List(87760061, 19008850),List(43749499, 37363511),List(27243950, 88111614),List(49791660, 2197713),List(80111378, 89037008),List(51499890, 345393),List(34149875, 20405364),List(54611059, 88885502),List(1149182, 69587167),List(81842056, 79966190),List(84860213, 72377354),List(47056148, 10007365),List(43742354, 83750603),List(59954017, 69086207),List(30578374, 93991635),List(18306612, 32415973),List(4578182, 6233781),List(67910702, 20940066),List(59132021, 40911394),List(93400348, 23339494),List(16363908, 86733080),List(38318874, 47490485),List(26851579, 73789519),List(3213001, 96893560),List(50545440, 24057469),List(40357588, 57541645),List(5922152, 19022598),List(19998431, 28481204),List(58456707, 33983400),List(24644418, 19367419),List(6308761, 66141640),List(1426240, 77315753),List(88225099, 74978596),List(22248136, 16103746),List(67436508, 7696498),List(98197185, 20725103),List(23176111, 29284395),List(4269739, 71636343),List(41796249, 25271784),List(18839387, 98823538),List(86189384, 50541146),List(61316254, 12115336),List(18556440, 75286044),List(64347871, 76535597),List(78893082, 10068312),List(85854658, 34740664),List(35275771, 41736416),List(48957159, 50485560),List(77931415, 563670),List(5463347, 11709220),List(53434169, 42702849),List(69675486, 41500605),List(9265641, 29654261),List(27071604, 73570210),List(7987128, 12984533),List(37392331, 2152562),List(94462334, 36656727),List(19580459, 26358653),List(40469312, 67207355),List(25836390, 45391069),List(72299917, 37443817),List(62477663, 99416526),List(74296664, 2876540),List(75324126, 15890822),List(54757426, 85186539),List(47744398, 49971052),List(27528417, 89886115),List(78025716, 48303074),List(40799384, 4845733),List(16454275, 12470259),List(14351360, 29390713),List(59983985, 85116004),List(2222223, 31002845),List(71023977, 58573185),List(12482533, 25545834),List(8411121, 13080584),List(46223373, 10193224),List(46564668, 77360422),List(82005771, 52199213),List(42839971, 62293480),List(31569670, 1680631),List(56592387, 32498014),List(19627318, 42263281),List(257232, 3459312),List(14825618, 98712192),List(70844161, 19399270),List(71480343, 18624319),List(94325888, 18099315),List(81574490, 85381255),List(84867926, 61583256),List(91949854, 96222142),List(13010742, 16614042),List(22721611, 72556836),List(4958371, 53973472),List(66111122, 9900310),List(15549419, 29075889),List(70862257, 18518974),List(31428351, 1604371),List(84079236, 38153117),List(45894904, 80556746),List(15381773, 10757920),List(9628634, 7263522),List(88364798, 21261052),List(43618995, 83661607),List(6785501, 28944508),List(87522227, 89497024),List(34284130, 36570702),List(96378391, 85346240),List(7535215, 87810344),List(7414663, 82194777),List(86251060, 64013551),List(89953881, 33386567),List(9365794, 23478636),List(36627396, 42283970),List(43926549, 57132374),List(75863139, 5428558),List(35682769, 72910234),List(30551676, 68504269),List(78023548, 41581048),List(17147238, 70286334),List(19005369, 12943363),List(67162731, 99760967),List(71054888, 41972023),List(59682894, 929336),List(9974343, 69973084),List(22346482, 87242373),List(86573721, 6070939),List(85537832, 90118129),List(47411793, 92838956),List(54827056, 40922683),List(94805021, 51874722),List(74859127, 72125764),List(29909179, 88594819),List(65468564, 26640714),List(14474695, 12882701),List(84845889, 55045780),List(82815700, 55757047),List(77971287, 69809701),List(10485522, 18719387),List(51711997, 61013318),List(23173118, 98845919),List(65413525, 41136661),List(27608153, 41868247),List(87472121, 4985553),List(51387903, 31567789),List(63081612, 78239963),List(31278932, 77862407),List(68705431, 7241753),List(84848891, 43430050),List(21950683, 68020937),List(96205731, 30217229),List(27353265, 91472938),List(95820115, 78818694),List(18452954, 35093594),List(84125611, 54823382),List(18492231, 1063652),List(48320027, 84540198),List(57742951, 15335302),List(52796659, 11722310),List(10183009, 59749275),List(61732420, 42539075),List(10485602, 13069452),List(13843841, 93485201),List(6268117, 549256),List(55533588, 1265453),List(48593781, 84966529),List(75654080, 37480287),List(69658374, 55278855),List(50218442, 99382432),List(76737001, 34773935),List(40020286, 40050956),List(31209183, 15092533),List(93767770, 73676211),List(5292948, 14558823),List(18491325, 63553215),List(15298415, 42488097),List(26493427, 44031912),List(24661594, 56559361),List(15445738, 57254231),List(38994418, 61944109),List(57083226, 21023650),List(72589848, 73584841),List(56691860, 78390554),List(27560141, 67182467),List(79081342, 63036860),List(35222958, 403263),List(59835507, 53497852),List(83816067, 58273342),List(63416806, 90646357),List(26356122, 72008853),List(58439248, 91164824),List(60694038, 12852051),List(57239510, 92450426),List(9710779, 10599439),List(36390269, 26800018),List(16467570, 69926197),List(73073803, 44293880),List(19793084, 38944920),List(84638810, 97788261),List(73110660, 66829324),List(11047730, 94019286),List(4508302, 23085081),List(56795616, 64659174),List(91504541, 17101669),List(25804345, 16972575),List(89665623, 14171371),List(8184693, 87231796),List(1112508, 45068260),List(82644090, 83439893),List(74036503, 40749959),List(26019594, 22538955),List(32240195, 39069902),List(31008625, 21140852),List(16799610, 105962),List(10770796, 3543243),List(12667360, 3139605),List(66219877, 12442059),List(21123104, 84762947),List(1705397, 30715955),List(78971948, 56913115),List(32186658, 31291734),List(10137889, 8051750),List(96148599, 61669203),List(91729622, 26534349),List(38566730, 80964920),List(13341204, 8377967),List(14290223, 53135989),List(97627912, 82798578),List(61797733, 68069640),List(14062405, 12730293),List(67951440, 61467916),List(71463855, 87499062),List(96039614, 6667635),List(50981304, 46392442),List(80846872, 58217923),List(84962795, 45953341),List(4309221, 28292320),List(58908038, 17832046),List(31779136, 57510150),List(66343256, 90650379),List(42946504, 19527254),List(22983912, 62634477),List(10903226, 97892299),List(64604287, 90956994),List(55944223, 20804967),List(37105152, 17338290),List(6520189, 21768659),List(49872150, 27625051),List(74342822, 56632115),List(49501360, 28408836),List(70103503, 93012495),List(74246673, 1104081),List(28760396, 57092733),List(43959541, 77020615),List(75078350, 20789072),List(5603874, 92340631),List(97894754, 37808651),List(93366448, 39957711),List(47934522, 87202883),List(50912007, 57069149),List(44213248, 64610427),List(31843199, 28398843),List(67718982, 83623509),List(44951481, 35167822),List(74024875, 97324040),List(3419200, 85945040),List(13955421, 11232362),List(64183308, 71609071),List(52449244, 98919139),List(34644094, 54595343),List(75331584, 65676152),List(19894971, 64703832),List(76518688, 85602294),List(36748406, 93443161),List(115484, 17070422),List(32214072, 26694894),List(64628412, 34857901),List(24128525, 61815192),List(55483096, 20620280),List(68936178, 66497832),List(26299825, 41350371),List(19844427, 77366257),List(43786128, 21729211),List(127001, 25330427),List(62480566, 87922034),List(17115731, 60295802),List(32639823, 34988336),List(79180489, 3515191),List(75051833, 58055076),List(83439205, 2616305),List(45897716, 22619082),List(91179003, 63060012),List(13323278, 51607053),List(24096968, 48317239),List(51714734, 14222460),List(11814806, 16076699),List(74991775, 71237150),List(71314437, 53004763),List(84843727, 2939489),List(45797916, 66209218),List(27573684, 78965708),List(39517886, 96402499),List(19533059, 23861458),List(49542508, 24425308),List(73823586, 34664167),List(49826723, 28363919),List(91943315, 69724494),List(49336171, 72520603),List(92540152, 93305079),List(55979881, 58982857),List(74522412, 34723586),List(83725361, 71322362),List(25724733, 30960799),List(17592130, 67968545),List(3130190, 33948611),List(64546059, 78766596),List(36742712, 26039532),List(30325291, 95767458),List(12647155, 72291900),List(41648821, 49930719),List(41231797, 41040601),List(1445564, 95031148),List(64566048, 92019560),List(62952607, 59278196),List(32374242, 1024181),List(20133662, 42363908),List(99846440, 16416339),List(98932248, 23175118),List(27331961, 30123730),List(79001421, 73495410),List(57240485, 79168814),List(59245771, 37613860),List(65319263, 22846815),List(4937555, 144810),List(25945715, 45750136),List(92379863, 98515227),List(92503950, 18715273),List(40607989, 94738949),List(49552033, 21706490),List(3613595, 91559401),List(27241280, 24997582),List(76771464, 88007026),List(14592475, 87725602),List(76817626, 34150517),List(11198420, 63327792),List(17830137, 87345048),List(43164161, 42642609),List(425879, 59217523),List(75788264, 27569516),List(55556817, 63933890),List(31239269, 48482589),List(35347383, 70112838),List(48521906, 64953253),List(19908199, 17998324),List(97511945, 44952743),List(42859542, 69647961),List(30277831, 19714060),List(45366735, 4097901),List(68130920, 20312490),List(57932692, 84946639),List(89284014, 69815088),List(2628404, 55973414),List(9222260, 65418886),List(58077432, 4631774),List(66311839, 92508409),List(9548767, 57121530),List(65523651, 50419865),List(74250801, 93678978),List(73269834, 75215059),List(13970564, 96548492),List(88597789, 75519920),List(5159977, 68343662),List(29402803, 40155101),List(59639088, 95818331),List(27017741, 61775052),List(30313623, 18256071),List(26378246, 6642643),List(56202032, 99024698),List(34114744, 98617456),List(6714590, 15522214),List(66173744, 95866637),List(51479724, 44472983),List(96061463, 97703929),List(55653115, 37626575),List(73410638, 69828997),List(53481624, 42805004),List(16506617, 5019192),List(63511242, 31159609),List(45413854, 61796654),List(42331017, 51119600),List(81256484, 56868806),List(78493373, 23284241),List(66006451, 25158950),List(18852155, 12306805),List(16297865, 44359265),List(28687619, 88208438),List(79697993, 72010312),List(96442082, 50805302),List(8757316, 7273594),List(76915964, 41912908),List(51944130, 17786166),List(38520417, 3657863),List(11192331, 69988884),List(71955397, 52226547),List(45489757, 36056276),List(15419394, 96710572),List(25743504, 90556712),List(39057744, 99716736),List(28819643, 80899593),List(76643772, 74666830),List(48663586, 77819828),List(91846286, 25843172),List(30240733, 12400363),List(73100333, 46553839),List(40272474, 5728985),List(50083135, 77802604),List(33741015, 52457188),List(12671795, 38800182),List(37699453, 39244963),List(78833026, 93269321),List(67999466, 96447486),List(81470403, 43723736),List(70258804, 30030617),List(54898547, 52873460),List(72277646, 77273421),List(11096519, 35441482),List(91412328, 20637394),List(88289193, 82720278),List(95203679, 63590196),List(78035436, 1679921),List(29316990, 74025233),List(67625219, 57717893),List(43834384, 8206957),List(89638671, 20631089),List(40476478, 90976220),List(1810356, 43631260),List(76440157, 51542056),List(90680917, 71045629),List(30730664, 47351300),List(64030721, 55517630),List(37534436, 12092955),List(29543201, 44509964),List(85468610, 51363356),List(61512687, 89538385),List(37878512, 78833183),List(46716835, 34079241),List(90991698, 33627443),List(50109892, 11480207),List(29475245, 38201212),List(17933015, 68310351),List(11572039, 80437862),List(91536950, 28495955),List(14732463, 73851661),List(60808450, 74349449),List(4527278, 41349843),List(64853976, 87754873),List(46419985, 64152930),List(65955307, 24332845),List(63677027, 87845932),List(77369922, 6402049),List(25293916, 5008701),List(72475097, 98836681),List(35184641, 35859687),List(58555365, 30995323),List(99893924, 79360976),List(3723636, 81381749),List(71817611, 55830652),List(12233584, 17794048),List(16728836, 39723339),List(72700867, 14998358),List(44157587, 98781409),List(39323043, 38834967),List(73350347, 67141680),List(92304855, 43164105),List(99038642, 80295791),List(83096883, 98370806),List(51925101, 1119277),List(82695205, 40508432),List(51539064, 6861781),List(30570386, 54490923),List(15247287, 28999163),List(27927031, 11006202),List(81061947, 88568318),List(10081496, 87278266),List(19955883, 64731872),List(9469460, 67021869),List(62228640, 68771985),List(96263198, 20422156),List(59600649, 82127625),List(98695970, 62963446),List(28807354, 54639992),List(62383697, 71242116),List(39501786, 10794310),List(77660700, 91500364),List(59590246, 88616476),List(13222068, 38384945),List(78741206, 76457847),List(13379923, 83960076),List(41557359, 49655264),List(95705844, 48762099),List(54620515, 47525772),List(37130594, 89676250),List(20718714, 25788524),List(66924556, 88692703),List(21219536, 61407246),List(22237889, 27129685),List(89889144, 18201495),List(57566596, 74094549),List(13177571, 53960403),List(54877765, 51886753),List(19531562, 52096684),List(48327856, 33436345),List(34827867, 84783156),List(79837208, 24612542),List(23848322, 31488730),List(97696620, 9407241),List(73809831, 24283947),List(50336660, 48630947),List(47730957, 76832009),List(33679982, 86964460),List(6136738, 98168407),List(35572795, 81728636),List(79919553, 49252342),List(70481855, 27308895),List(3859155, 23798196),List(4413642, 64403012),List(88464469, 94540077),List(20076886, 24387848),List(81189829, 43936185),List(92413107, 11833828),List(14735753, 81841942),List(99218083, 102031),List(9256118, 66530765),List(72821590, 84815170),List(91569310, 9260348),List(70948418, 17613006),List(74023441, 38361009),List(87259551, 65741692),List(89563065, 46634579),List(36423253, 17220802),List(23148701, 33134493),List(87802098, 61920279),List(24706323, 81872311),List(31592778, 93864319),List(96486397, 2790559),List(28535826, 99178395),List(88436408, 67575705),List(3095341, 18813010),List(14849260, 2937624),List(24512424, 78382485),List(64503759, 41572693),List(71009897, 89302124),List(3262355, 17653486),List(97101938, 41605600),List(77221730, 24179729),List(90027159, 45139823),List(14981924, 66231105),List(5438657, 71405397),List(16530632, 5315929),List(15815146, 69695141),List(7756788, 73304416),List(84158571, 55451286),List(64100975, 62558861),List(60938623, 86429084),List(29954477, 47751539),List(77301418, 65140801),List(92168762, 74150639),List(24015997, 47703543),List(56535623, 10935039),List(58077529, 4171617),List(79400372, 52315112),List(95725351, 7346242),List(89015505, 59404794),List(96957950, 45239721),List(16080945, 47312189),List(75359275, 87467993),List(63128360, 11321553),List(55660278, 63391958),List(80875523, 42324796),List(4330960, 46960397),List(68333252, 83884),List(40446740, 81581616),List(37857290, 48474592),List(19001327, 90298830),List(15096829, 93642415),List(49872472, 4204617),List(16837801, 63332227),List(67334013, 2128052),List(9817648, 87599722),List(35122381, 12575716),List(24197340, 83856677),List(19897173, 31195978),List(42712180, 56039678),List(51850206, 57084941),List(61374366, 53127362),List(38195520, 39267559),List(90617228, 14856535),List(10001136, 73401892),List(7398068, 40367118),List(77345965, 3044806),List(2568731, 47383886),List(65463064, 84180042),List(40275665, 20110768),List(81743635, 73616861),List(44667553, 91214535),List(94658390, 51605282),List(66044193, 87696017),List(82910648, 65901861),List(24939390, 99843409),List(54229839, 14718682),List(19812167, 16007296),List(83918669, 37833842),List(50547579, 72501898),List(21696554, 27202918),List(13533214, 99702277),List(42583896, 322754),List(48165854, 51694140),List(8406654, 43345200),List(58984892, 4075663),List(60932911, 60395052),List(31452177, 32890362),List(59351020, 99554782),List(85512189, 1779384),List(39651599, 8830537),List(45429596, 69690276),List(46184282, 43488287),List(46066069, 1064906),List(75938595, 6868839),List(58465735, 15635534),List(10806348, 48409478),List(49271455, 48135541),List(28381747, 28975692),List(46151004, 63361584),List(96534516, 51588067),List(69475603, 49216737),List(29723356, 15465115),List(40506439, 3858876),List(35979835, 80170906),List(85541585, 94889890),List(11720610, 93097618),List(26522983, 59759584),List(34598247, 51037061),List(57119933, 49560328),List(24327794, 42389291),List(32867571, 10897470),List(46220586, 36190909),List(46166797, 92075495),List(45905133, 65509400),List(32770742, 48949259),List(60205713, 11057436),List(61252655, 69409826),List(64615039, 42913835),List(52970589, 19134338),List(63547065, 130436),List(62001975, 56212981),List(13018944, 67055352),List(54235540, 86863308),List(94104100, 61593520),List(86389152, 89237006),List(15633096, 90260934),List(23034458, 50772879),List(37025231, 93688632),List(71636268, 55766417),List(28354468, 30903911),List(60303774, 33086180),List(93282953, 81893164),List(62340268, 32456588),List(49689581, 94011089),List(35383723, 20611615),List(19224539, 94171235),List(49875964, 30203292),List(97178833, 32879074),List(20597644, 91165145),List(44965388, 53563492),List(93901867, 39353479),List(57297723, 39077252),List(1305852, 6844488),List(19304238, 79987676),List(81691989, 54924664),List(47737588, 74530501),List(3306153, 68012334),List(1301404, 88206895),List(73110503, 85931318),List(74237221, 89400284),List(81371100, 72189816),List(7654545, 36426870),List(352689, 84221616),List(15166079, 37263044),List(2874039, 5698454),List(49258097, 42239951),List(94331662, 94519293),List(67978112, 82983515),List(74890538, 58981501),List(10551691, 76248878),List(78984946, 82638820),List(68509633, 22237124),List(20987377, 77987970),List(19656914, 81501518),List(32011085, 82576364),List(55465606, 98731164),List(61441553, 79504637),List(11423253, 58301902),List(80906028, 48181438),List(70473363, 50782222),List(19247311, 64751823),List(96102270, 28237889),List(99660582, 10313374),List(67436051, 113739),List(67870434, 52157813),List(70061418, 2644386),List(15056227, 47907089),List(21675746, 41370871),List(38146181, 54681776),List(37869922, 75841161),List(77784678, 36562831),List(69366, 89351346),List(71263323, 30592898),List(70570549, 2452788),List(76595960, 63067285),List(96777470, 583069),List(20347910, 96445098),List(21618179, 21579133),List(61873028, 25563460),List(75189378, 8278434),List(69697012, 30626877),List(39999761, 58821910),List(82186208, 82641174),List(56362150, 85430952),List(1731648, 61144417),List(58081974, 63373667),List(23741341, 74138864),List(93064384, 16403692),List(763122, 38336339),List(71676265, 31549077),List(38209554, 46642026),List(6673112, 25854737),List(32127243, 33021085),List(69154570, 28337794),List(26311809, 95874787),List(44315347, 56242207),List(80719134, 93395015),List(5591386, 62026870),List(31529502, 27197401),List(53715468, 72214645),List(72177082, 52000482),List(92776663, 33482521),List(37794495, 41199332),List(90506044, 32962095),List(72301506, 22641060),List(91349162, 58975258),List(45197713, 70658051),List(21843180, 94270883),List(46534130, 48713626),List(97133932, 37544159),List(57943771, 90436866),List(91682710, 31003418),List(1329535, 44872354),List(77394005, 43358159),List(4986446, 74022420),List(71755269, 13152502),List(5639708, 18836199),List(79251523, 80033972),List(21362760, 51250770),List(49736588, 8860657),List(45233392, 89301481),List(81114537, 26200407),List(19091276, 61801245),List(62330556, 7629392),List(79728391, 94252059),List(58304257, 19645429),List(81712218, 20009420),List(43175503, 75194224),List(19846097, 89891262),List(86382783, 64718308),List(65211463, 85969567),List(17546953, 54360556),List(89392927, 93717328),List(43313693, 10182283),List(97954575, 92081015),List(53881831, 1420133),List(62119074, 94028719),List(37973589, 90568362),List(87420654, 16762481),List(76703990, 70974239),List(8612536, 74613957),List(78013572, 25340674),List(2539491, 70857993),List(43398649, 14634739),List(90493977, 49759818),List(72147289, 11278629),List(59783678, 37334881),List(53402778, 3401160),List(35001370, 15357222),List(79487582, 25902682),List(23155708, 66605506),List(74299024, 20585359),List(18856483, 63197471),List(98489782, 76010710),List(27926288, 99116527),List(89797769, 49030826),List(67874316, 79518036),List(94727468, 27299368),List(98918365, 14137857),List(46825785, 72460270),List(78627901, 99020922),List(55168216, 58203156),List(59149781, 29082862),List(5444518, 12843976),List(26059681, 51769997),List(86304663, 28567996),List(8285079, 60892506),List(33452496, 57798031),List(17434357, 39251710),List(73000462, 7278572),List(2215268, 31879961),List(22304742, 83737167),List(4161700, 17762387),List(33987420, 72706993),List(32483254, 48053523),List(27382149, 31330269),List(9778795, 42512890),List(35603094, 75901389),List(72934716, 31906102),List(39285036, 46390490),List(51672264, 27102100),List(77894591, 50750408),List(35996151, 12522955),List(72530805, 15570408),List(78343375, 91899457),List(20384247, 29953338),List(3817080, 21091347),List(65583989, 46873754),List(50658252, 8723788),List(2635807, 74713065),List(73663972, 34299807),List(32044696, 7008145),List(96436827, 87366012),List(55240005, 1592979),List(32405458, 42621987),List(67076585, 32918817),List(61084969, 38129365),List(34276837, 97104300),List(65338969, 42614462),List(47930280, 30689278),List(28457372, 8148670),List(98742921, 44499930),List(55984423, 14682961),List(93159833, 84801773),List(97517157, 62105648),List(36963270, 79590914),List(15263273, 41339242),List(39681168, 13994497),List(80493924, 75095087),List(66216267, 97292765),List(73000236, 92438693),List(26857745, 13603600),List(28103325, 58036019),List(30775692, 96699447),List(14945148, 39127975),List(7486637, 37944612),List(37353049, 19999628),List(73920641, 33403275),List(40670378, 9887100),List(55326204, 60259337),List(94251086, 84264455),List(77460204, 97709131),List(75017298, 86991254),List(59964104, 96026413),List(18673958, 30495639),List(89195649, 45632867),List(4311786, 75473950),List(37395046, 71327055),List(59647817, 36589590),List(82343624, 89482705),List(76812224, 74764501),List(83374237, 67443808),List(52525360, 80709730),List(34966741, 97762330),List(37965083, 47406955),List(30179775, 69664911),List(74563446, 60666687),List(41323095, 14781358),List(81141645, 887510),List(22068941, 42070312),List(6534158, 55983026),List(25939309, 62443939),List(94565800, 99582396),List(76646370, 47504408),List(53245727, 10365623),List(82499982, 80669731),List(37083613, 24223897),List(64146521, 44490890),List(40931693, 38994450),List(99994158, 41806308),List(50425155, 74661377),List(56952281, 35303415),List(2772981, 81884061),List(36850490, 2370344),List(98851442, 24949190),List(75857202, 29750497),List(1707900, 94879074),List(14356462, 31909418),List(38139008, 15966250),List(13403533, 96729857),List(9982419, 81979749),List(76970156, 37295274),List(343143, 89358024),List(22903623, 19313777),List(3584738, 7095508),List(46199730, 4957578),List(95490298, 39599631),List(62356035, 13981044),List(38082112, 2261217),List(25266794, 47491830),List(15301123, 27759427),List(45251019, 38646503),List(68769515, 17058633),List(73285319, 94114599),List(46552894, 33124590),List(12404552, 34926045),List(60092698, 91453417),List(79429456, 46181306),List(99990645, 99362214),List(98188879, 35058488),List(62486324, 75239948),List(33276286, 21095668),List(65413946, 53850737),List(14297322, 89643126),List(60456968, 41970381),List(6364299, 74064453),List(95081338, 99527745),List(35311834, 1814464),List(71102517, 37597014),List(50631870, 22028930),List(47144448, 55795577),List(93462429, 11619517),List(59385668, 48966813),List(60254030, 62390617),List(21698984, 9752699),List(52056988, 67005926),List(6884692, 28749945),List(53719068, 18666717),List(84845440, 552247),List(55329191, 57519913),List(97994672, 84288482),List(92975280, 34104553),List(87598635, 54169140),List(90158143, 65581258),List(94362714, 34821859),List(57674813, 92298257),List(52528170, 4229358),List(45053077, 70082390),List(77057993, 33066688),List(76134086, 20957262),List(36733551, 84168534),List(39000089, 56859567),List(34553006, 44467943),List(30408294, 20685414),List(81466849, 31368430),List(64073887, 78602885),List(35575463, 62979594),List(49011233, 39894832),List(41977634, 47362449),List(42252089, 69728712),List(9268092, 81188065),List(2064591, 1588127),List(84960456, 30134713),List(45951333, 62266155),List(70688159, 85490563),List(34607921, 13945927),List(29704612, 13235129),List(86539226, 16891796),List(58221452, 70780586),List(98624868, 41537155),List(56560604, 46845244),List(92448781, 43928379),List(40316678, 76966257),List(93709100, 49430453),List(65408555, 24938004),List(5412870, 13280702),List(54040690, 91533764),List(66953638, 77292053),List(53067275, 62317368),List(61698721, 31720888),List(2682701, 95486928),List(14643980, 73095413),List(1597372, 56048696),List(38523241, 18350060),List(18705490, 712296),List(6997961, 93732214),List(79960503, 44099445),List(66880160, 75142692),List(5191809, 87306781),List(27465086, 79843259),List(58807039, 5721307),List(34743443, 3294310),List(10640288, 72896148),List(86494777, 60862510),List(65948138, 46770255),List(10416478, 44780903),List(55922697, 73802004),List(8721606, 96582579),List(97772392, 45674139),List(26136539, 20775967),List(33532140, 62789220),List(17318981, 4363215),List(30264580, 9471743),List(38911367, 21773089),List(13610245, 93056861),List(10664582, 69582309),List(50812076, 41456736),List(75011731, 53480453),List(45262982, 87238184),List(5783718, 8737659),List(72886418, 43961243),List(5820210, 75941551),List(41052054, 92119248),List(4578135, 74242149),List(22218411, 13287251),List(42101558, 48564667),List(73545189, 70265913),List(26435032, 17846261),List(79839348, 24533121),List(36513517, 83396649),List(84210007, 5734616),List(12265563, 3861724),List(41464989, 90189007),List(23825452, 46317625),List(14984355, 1116885),List(39431541, 93817869),List(83100853, 82987292),List(7799868, 2173433),List(5665829, 37771243),List(42147320, 29408781),List(60588742, 93945052),List(79179336, 26944023),List(74259820, 80571937),List(42494425, 52118925),List(31670117, 77354949),List(80333016, 61806615),List(81618890, 11634420),List(47773055, 82212059),List(45385848, 95192786),List(9636801, 55417011),List(79141702, 47898930),List(62020925, 16605695),List(35453309, 81823023),List(71664817, 52045049),List(2967392, 94646699),List(33742251, 98650199),List(3622030, 51504276),List(18594056, 81640488),List(58579686, 37787653),List(84451384, 49416746),List(59446065, 76002390),List(77805147, 84722109),List(57889815, 28135165),List(35821909, 73866540),List(55111544, 51369375),List(33767351, 60329797),List(30493880, 96647782),List(58087544, 79541743),List(4380839, 96691048),List(20695633, 32860498),List(21899296, 69510272),List(63353197, 7048476),List(92948647, 17029796),List(44227612, 13750923),List(64362670, 38983559),List(68622747, 18948767),List(5921993, 98869862),List(1202749, 23136647),List(61038953, 4455762),List(73616797, 95538093),List(7242434, 50684909),List(26839592, 24699305),List(87638478, 83751656),List(12346, 62318415),List(72046446, 56157711),List(38966396, 3159648),List(32302222, 66023887),List(10091134, 57534184),List(44762324, 89674690),List(16984559, 40703316),List(11635529, 83067991),List(6256059, 99329226),List(86553501, 19803914),List(7920513, 38628617),List(53594406, 17249333),List(53017238, 93378929),List(58690287, 31834813),List(72243695, 10815653),List(14351897, 94235740),List(98493926, 68403303),List(55840302, 94947576),List(3710905, 96574448),List(17143342, 68213961),List(92218706, 28968330),List(41562076, 28853651),List(77047794, 80284699),List(88860818, 22635948),List(53744250, 33762958),List(9815713, 41107117),List(481474, 59722693),List(80903183, 17084109),List(89359978, 48377884),List(26361229, 74284535),List(19217798, 46793508),List(87332138, 80853183),List(65435519, 59621535),List(96415421, 24631598),List(93291281, 87631424),List(85652563, 74464742),List(77305459, 72413159),List(59399631, 30923116),List(62027509, 87656856),List(30382122, 34459073),List(67679923, 92066510),List(2285374, 30439843),List(74771840, 86337499),List(85192700, 41722975),List(37190479, 24243822),List(75292260, 24700981),List(38755606, 89836524),List(70912947, 69987747),List(38922737, 74612494),List(31931311, 32714206),List(30532219, 71481127),List(76908995, 60992087),List(75246021, 66120944),List(75725541, 9464691),List(28565688, 24501443),List(31249894, 20689191),List(15167405, 25836128),List(79360317, 82152614),List(30975800, 18033709),List(52065135, 79226841),List(43899367, 69490621),List(81213079, 43168644),List(54604565, 31721381),List(20222654, 81630508),List(11915380, 41842902),List(95540073, 92928022),List(18024456, 52816392),List(40982142, 5377802),List(12870354, 30770380),List(21346508, 3714786),List(18345721, 65603324),List(50003621, 35032127),List(9188961, 17126883),List(49607327, 4316194),List(59897776, 84827563),List(52906638, 67283805),List(52306512, 14876137),List(51123099, 81836759),List(41213069, 56298534),List(80963918, 30864162),List(91585057, 27265260),List(73155433, 19565949),List(38827806, 48339879),List(19310047, 75201806),List(53567741, 28800506),List(12277110, 23231444),List(7315941, 19160431),List(76197932, 83654687),List(41153075, 47488300),List(81227565, 584106),List(8206833, 77465243),List(87464692, 595837),List(88026167, 7800409),List(78895755, 70399966),List(31338125, 85815036),List(36975615, 90747143),List(11575419, 30729957),List(33545646, 11436353),List(92752007, 52067827),List(46551428, 21567760),List(5363453, 73816293),List(73222638, 28313554),List(77826846, 40847346),List(72406048, 51064028),List(58500813, 42404005),List(73486263, 93715721),List(92897228, 80558454),List(82356330, 93331072),List(14126512, 59033226),List(97301454, 40078456),List(56270606, 61199971),List(41131368, 83502579),List(86733273, 53131975),List(99679117, 27858576),List(33166345, 48672299),List(45035883, 59628955),List(41166220, 4203357),List(86825121, 54614941),List(95351343, 52251417),List(40724214, 25152056),List(81543415, 56784178),List(25998447, 74657049),List(74604194, 7874945),List(71946240, 88935689),List(95484358, 50565945),List(76283006, 72814953),List(44943146, 26963984),List(72068546, 86277143),List(31675301, 44984706),List(99192797, 90747741),List(85676564, 61165630),List(30108452, 14603468),List(91579440, 23176241),List(45217189, 6835568),List(49479464, 44415307),List(67271917, 11183036),List(19392434, 66751180),List(41429063, 89827648),List(28464689, 28892242),List(84821212, 70185684),List(16746596, 28113178),List(71603729, 30550114),List(20573493, 46127826),List(56577781, 48117265),List(86609507, 58394098),List(73227192, 53219576),List(63100000, 40759384),List(35040688, 90600997),List(93770787, 73733890),List(94452248, 13074416),List(86699323, 19243814),List(26844143, 20941001),List(91008562, 52236038),List(3766489, 4474176),List(82042794, 37135674),List(97619732, 42734393),List(95551277, 31959880),List(93909046, 94211423),List(56113597, 20178887),List(10354076, 95352742),List(16097635, 74409169),List(58286580, 90705734),List(10614971, 2232511),List(44501046, 78001173),List(70384749, 70950103),List(88579654, 23640653),List(77865833, 48610034),List(25234645, 68764737),List(75856828, 75657044),List(92046903, 9753370),List(48417587, 34474584),List(97476007, 32137011),List(61116497, 12086933),List(76915605, 22744616),List(58123435, 67252572),List(82598337, 69337346),List(94936727, 64123473),List(74376082, 42411899),List(88234062, 53777638),List(47261085, 53911634),List(39845398, 79034113),List(87114532, 94640951),List(2543382, 49169683),List(80228542, 33440506),List(73452678, 81048777),List(53336500, 99051110),List(99011136, 48703226),List(15600185, 79730914),List(28441653, 85143409),List(85844197, 20725991),List(17190927, 45648366),List(33196026, 60775297),List(11698104, 82670513),List(13600944, 16306237),List(60676355, 43407095),List(68664362, 99513403),List(40670329, 64823647),List(99135160, 10397901),List(1652920, 5063801),List(27596954, 23574492),List(97931664, 36411904),List(38828537, 36930473),List(130728, 32819896),List(53334877, 23724327),List(53388025, 82674233),List(8895510, 68666595),List(76275337, 22633979),List(84690905, 92461980),List(76822936, 22607395),List(90535661, 58800603),List(85238887, 25703576),List(65871144, 65786287),List(83996505, 31855545),List(72771049, 83748875),List(37100945, 49567199),List(68647093, 64720959),List(84263063, 7888566),List(33239606, 63346157),List(11383333, 8212510),List(2560152, 86572786),List(39716385, 42423709),List(67716138, 96851779),List(12410194, 22800068),List(36999502, 78993013),List(18803905, 78219723),List(53397044, 31172565),List(47725063, 66178999),List(99605423, 12752033),List(74800753, 92322202),List(69061791, 92918927),List(14337637, 59767030),List(44859055, 14778624),List(53728805, 78722829),List(59954542, 75143678),List(18717947, 35885168),List(23100748, 65414832),List(35915963, 31757911),List(30498973, 78584450),List(16085128, 98952150),List(8640496, 29318623),List(70209154, 72303661),List(74307876, 93863036),List(96049617, 98032462),List(60127008, 39112785),List(51553639, 8701734),List(34112725, 24978968),List(40798826, 35050493),List(73819003, 65050046),List(49291045, 10473408),List(30875912, 40440056),List(78623974, 13553941),List(84807156, 55142234),List(75707272, 31835875),List(22271065, 99288888),List(31163027, 26250101),List(59580604, 37255755),List(13116106, 75280889),List(41706081, 94236836),List(67964353, 69884682),List(83322543, 68176837),List(81707527, 51864292),List(56474368, 98377693),List(44624236, 37265998),List(31704582, 52386028),List(34865230, 21579424),List(36998200, 37197883),List(98551336, 74853836),List(76943729, 5047208),List(89684111, 71899558),List(37936487, 54776593),List(7457916, 61336718),List(47940751, 93119594),List(36329890, 55277714),List(36179886, 43344113),List(57771419, 98598233),List(42757060, 24166791),List(68540757, 84251426),List(66584466, 46139693),List(42174534, 33716381),List(60458504, 14678214),List(99283527, 50242373),List(95433547, 91254202),List(9960569, 1983696),List(78827735, 84898979),List(9622332, 5785786),List(7332155, 34145675),List(98098132, 60856731),List(18710017, 25779107),List(60436600, 48530861),List(46279543, 26297209),List(80339946, 49678214),List(25369140, 32268928),List(48381667, 47955579),List(95526850, 50247437),List(65926914, 64462408),List(17951878, 11183890),List(9498470, 79893715),List(31477310, 71892156),List(67731231, 35733756),List(78376593, 14316856),List(70753295, 12314656),List(53098091, 36270961),List(7596164, 36978024),List(88563851, 92965586),List(49562195, 13030804),List(81579504, 587803),List(39245981, 40742712),List(26653963, 87050984),List(32298387, 54625416),List(90758309, 31291352),List(93029819, 13327852),List(4164853, 90804571),List(6025644, 42147285),List(51447383, 80719770),List(52541432, 93075057),List(38312053, 94463688),List(19260828, 98039867),List(70800285, 30021763),List(56179677, 17050678),List(54860425, 62402865),List(81332662, 42828139),List(92397293, 60961517),List(7378193, 52260928),List(37612474, 54906534),List(4099097, 8798853),List(22584319, 30656160),List(61277311, 76468118),List(50925331, 76951809),List(12235596, 6934274),List(86987348, 15531953),List(79493455, 85345825),List(6260337, 79025075),List(46394372, 85379011),List(75987943, 17069512),List(26272983, 19458498),List(98432065, 25631761),List(45279929, 99255648),List(85378072, 11482927),List(29553415, 58437362),List(69128341, 95965688),List(57910425, 27564774),List(18286759, 53819483),List(76855171, 62307496),List(36532759, 72966334),List(47490545, 44582155),List(90920166, 5775822),List(23813781, 90588355),List(99080351, 52747700),List(72052910, 87192784),List(35025213, 25904371),List(12151601, 84994197),List(17066683, 46728885),List(65747507, 76669229),List(38956905, 10055159),List(64255242, 40483982),List(70273426, 59303551),List(24909511, 97210893),List(19753200, 82616554),List(84670248, 28281776),List(91521103, 51387258),List(62246517, 17940514),List(35417607, 25017075),List(23599362, 1005807),List(28279778, 75962181),List(16341081, 42737994),List(93137672, 19979100),List(46882623, 79360562),List(82173716, 95866317),List(73722207, 2394252),List(20385692, 44757992),List(4127868, 58399815),List(81764857, 53542891),List(85409216, 34661079),List(57417778, 29081690),List(79392520, 26541220),List(72035290, 12084850),List(41571480, 42553259),List(66340085, 81138543),List(23824674, 78479756),List(47695935, 46378934),List(85274367, 95981872),List(51681214, 55584106),List(12814116, 97319937),List(46065656, 92416224),List(37834810, 69068634),List(1690124, 26590992),List(54730942, 89757323),List(99553422, 87712016),List(45452522, 5306997),List(91692686, 5203334),List(85804648, 40259703),List(73387856, 74646423),List(33044595, 26766322),List(13802680, 2524424),List(64215365, 88937359),List(36210755, 96160942),List(34633546, 46215439),List(40635298, 5345448),List(70579248, 71645917),List(708714, 17572815),List(67815470, 53431157),List(59809183, 37495031),List(34616393, 63312123),List(26846857, 20609756),List(7199360, 32536106),List(28600318, 77242271),List(38202178, 35272035),List(54869649, 35424489),List(87436794, 2518352),List(12554883, 76003825),List(51450227, 70522928),List(48567130, 10399781),List(67020250, 9132565),List(18106046, 1509399),List(4449382, 40818506),List(84942494, 20118944),List(48546578, 46360536),List(75890889, 1888870),List(8848920, 42696131),List(34827221, 11153439),List(4479345, 2294163),List(58931746, 21813087),List(96368383, 69635015),List(3974339, 85930408),List(845480, 60162164),List(33147518, 23709023),List(1297943, 38978778),List(60296235, 51615962),List(19414481, 2285382),List(35309180, 67887539),List(91185716, 63294145),List(48158143, 69985336),List(94289657, 75556501),List(17307520, 63286950),List(33053886, 43862109),List(93054413, 88919684),List(2288331, 66989364),List(21970707, 80504093),List(43999213, 51139789),List(54825024, 18742680),List(63071175, 89835585),List(6787948, 48361718),List(67799157, 50472403),List(5542696, 13836832),List(65891696, 661252),List(99244706, 89372244),List(30390063, 38799069),List(28046263, 12548429),List(63638266, 23826417),List(90553800, 36757687),List(77897374, 14585902),List(60167442, 49120916),List(92282998, 81144308),List(2937989, 4928622),List(82839022, 71079793),List(93371977, 99312565),List(27499987, 56916014),List(45567561, 97358622),List(19710024, 19687648),List(72086178, 65217346),List(94607733, 12514312),List(92347613, 8101693),List(6449533, 32320822),List(39425034, 35272906),List(1373258, 43571738),List(26697787, 95513504),List(88344702, 30816555),List(52482085, 54057230),List(34295336, 48145898),List(59104667, 7949605),List(12617387, 61373538),List(25379783, 35803872),List(46415839, 9076392),List(37031947, 22688020),List(14669973, 86812984),List(22937953, 49189716),List(30301929, 16321575),List(55430514, 8378188),List(26494029, 92252029),List(27896224, 48647785),List(47521484, 71258186),List(7691993, 5890382),List(88759279, 12115653),List(72839107, 90108561),List(59010105, 67682273),List(74289374, 92539658),List(99967812, 87382119),List(62112898, 11822288),List(74853125, 99105664),List(39688158, 51930140),List(62192220, 7971627),List(95641813, 39977127),List(85285156, 45534952),List(96122804, 59637740),List(16985338, 99368320),List(45833877, 65783031),List(66155201, 43723498),List(78958519, 63983213),List(41440354, 95292762),List(46611739, 11632212),List(21321869, 13922230),List(70394964, 43590951),List(97223148, 80711350),List(88536505, 83951508),List(92128485, 32465080),List(34088910, 93533875),List(40739997, 63749886),List(53928901, 30147447),List(58091870, 2929760),List(97127933, 35405239),List(49730386, 77742943),List(88691459, 9215846),List(54160456, 28181760),List(4941692, 94624446),List(87868977, 51521938),List(19501099, 5454039),List(84071573, 4043177),List(43696774, 2055727),List(96938275, 72781633),List(78651062, 13114635),List(65016806, 82986969),List(80454904, 12738653),List(5187597, 20044350),List(33211447, 19235924),List(25994755, 59665264),List(15495642, 32544307),List(77488971, 66474054),List(80949461, 16239320),List(34975359, 86268209),List(9749891, 2620485),List(71081870, 96811423),List(63909926, 11400884),List(27005795, 62543589),List(16635425, 94142053),List(79819881, 17268521),List(52652872, 31157192),List(96513662, 18148920),List(87518011, 17025738),List(68911658, 24615238),List(76574509, 89546740),List(62171732, 96221999),List(79497409, 98951089),List(57497497, 52192116),List(37367750, 68455942),List(49397393, 89055957),List(1075446, 32290194),List(80439367, 66644672),List(70493581, 93635452),List(34865333, 33718407),List(38398898, 85078985),List(22202878, 60149372),List(3114745, 74152674),List(78190644, 26680925),List(9085098, 1253800),List(20419702, 34779858),List(9865632, 10069957),List(81375251, 87488051),List(86215087, 3707435),List(82266484, 50129771),List(18297694, 82919959),List(99301936, 73545409),List(85594317, 33962165),List(83727698, 84608584),List(73118904, 1134552),List(12575904, 39727199),List(37372252, 5550125),List(67972400, 4501997),List(86365634, 81791536),List(75720870, 84561259),List(67935256, 90084963),List(63400595, 74079572),List(77991314, 20178147),List(77625077, 9041943),List(52883315, 10621401),List(29246024, 26851105),List(25428529, 81938009),List(92888837, 66427910),List(70824532, 40949633),List(14213674, 37525832),List(52827340, 86735023),List(56979057, 62581248),List(25008335, 46979139),List(94501841, 37550038),List(29855962, 3236993),List(10249360, 53961829),List(72517231, 36109853),List(30781947, 28585947),List(75103566, 69562292),List(38009833, 69475337),List(49745276, 19354950),List(26653811, 58331004),List(54523477, 45673895),List(77781033, 70461965),List(73179158, 10089562),List(48526504, 6055679),List(60488030, 63560812),List(73407663, 26337259),List(90021296, 31128652),List(59597630, 43795691),List(91015537, 69849567),List(33720382, 41879342),List(78935171, 64641229),List(45427305, 17342793),List(54557951, 92104481),List(90371043, 7753113),List(41197892, 2279417),List(72507168, 81216848),List(26171634, 3301939),List(23742553, 46878393),List(79119795, 28825597),List(98067432, 9166439),List(96359118, 56299236),List(94164044, 57101560),List(19266148, 91351794),List(39441503, 34219469),List(40938371, 61333885),List(99257051, 19477231),List(98376506, 73792798),List(57092033, 77537524),List(1409833, 61443856),List(3292342, 71106972),List(39870415, 82404035),List(93429695, 17870622),List(70283538, 17343994),List(76333386, 38495055),List(32981513, 49182387),List(33570700, 78024352),List(61477932, 7693439),List(68333862, 20657802),List(52826154, 21505590),List(71937881, 94629136),List(31276979, 3759806),List(26967558, 33004018),List(53001786, 31069013),List(95197522, 16821649),List(70242541, 18973872),List(55332232, 27526193),List(30010696, 71044160),List(55549301, 83358643),List(19808287, 76295470),List(86005603, 64144372),List(49663900, 92496706),List(11920546, 59859281),List(10344168, 94165659),List(28403052, 29538504),List(7149033, 17856409),List(98532378, 3686720),List(76299519, 71147654),List(2179711, 19470798),List(85881339, 20609801),List(65060945, 63336348),List(67288946, 11199589),List(42009169, 90424405),List(3464626, 48694102),List(47187995, 95039447),List(61838639, 22877940),List(2764314, 87802114),List(32356853, 95126703),List(95995922, 47379527),List(50000241, 12818832),List(92178114, 55187596),List(61962786, 17730187),List(21235216, 30868861),List(98596224, 21989037),List(95617063, 37675333),List(56542850, 56142987),List(30382853, 28772464),List(16975533, 83982513),List(95620692, 94482060),List(65386948, 79817365),List(98314554, 94955103),List(24822566, 46372179),List(66330207, 98296014),List(53368399, 14808042),List(65371638, 66188375),List(10335414, 7274511),List(35805537, 51293131),List(98146170, 21127084),List(59635300, 60053024),List(2118228, 26112338),List(25560723, 28980830),List(31363094, 12323723),List(27976028, 96892505),List(36432485, 22329505),List(87311110, 12235324),List(90498867, 20319972),List(3467788, 7568745),List(62726970, 6169145),List(55503680, 87414360),List(40198503, 48461787),List(87732327, 38043225),List(27272093, 57917611),List(90949347, 7113548),List(75794182, 46996272),List(77070892, 26205961),List(68301411, 45435820),List(4977963, 95846760),List(15608693, 25536637),List(57652293, 20905544),List(83121747, 9917124),List(50053639, 79582625),List(88966268, 89711306),List(87333022, 89879885),List(17392924, 47591454),List(29232393, 38231070),List(31336097, 87875607),List(73238669, 71669360),List(93595192, 66008069),List(67913313, 73405750),List(72802698, 49167376),List(70782076, 26317242),List(11235225, 92330278),List(92695226, 25571791),List(3204510, 87440099),List(79635663, 28668810),List(26682293, 62577698),List(63323261, 54677075),List(1715620, 57423623),List(96752531, 67397864),List(84066044, 1623479),List(35851211, 63270042),List(34315498, 22975462),List(29315062, 41123006),List(78193511, 39413792),List(72309342, 10677013),List(48828052, 11700212),List(4104666, 50123967),List(46487683, 60310000),List(87709297, 91831900),List(19391385, 85794645),List(20178884, 42168517),List(13134431, 78295556),List(38510768, 83348750),List(12423969, 40554556),List(30956372, 21395260),List(58484719, 33924213),List(93286827, 50923357),List(41265875, 1769938),List(22115985, 20983162),List(69627914, 36515050),List(87631552, 96763770),List(74936387, 73877110),List(48092078, 16287568),List(43412812, 47599649),List(81800660, 32641394),List(84616216, 27302694),List(31447052, 97368595),List(31462261, 32268056),List(84854594, 18372502),List(78824997, 66467931),List(51470684, 71289223),List(9555859, 20347965),List(11310051, 71716488),List(67987001, 10179332),List(50936870, 79272224),List(65291301, 9983926),List(83490923, 73304534),List(48341258, 56735012),List(42967595, 2679548),List(46634688, 66800444),List(74664038, 40134162),List(26375179, 67937094),List(59807962, 66104554),List(60442860, 62027700),List(70599069, 42892430),List(19721251, 93774532),List(55278157, 31503732),List(39670167, 56405657),List(98653686, 75023430),List(92785137, 604009),List(25494445, 24918726),List(31966772, 93935561),List(14573022, 41408341),List(15219739, 15856448),List(10281935, 23073885),List(24001265, 49527219),List(38806545, 33784356),List(10344764, 84361254),List(58264560, 31953444),List(25440053, 6799346),List(79920207, 76498020),List(12619123, 72765618),List(86658279, 23223613),List(15531715, 54109595),List(28074067, 91174105),List(40952230, 92408578),List(35533968, 27397056),List(45576856, 91415936),List(59404906, 52851696),List(4471044, 37059837),List(61598215, 94841116),List(67634955, 16433527),List(37188066, 22952289),List(25769520, 85641164),List(44790187, 81496162),List(91765909, 12398530),List(85317373, 35397377),List(44253114, 61357376),List(18210017, 77228173),List(15579002, 49423527),List(45074289, 83101960),List(31420166, 25069826),List(52224528, 33776126),List(33971757, 31487438),List(82915937, 40117968),List(56679828, 21123867),List(81425477, 81274844),List(53141220, 62241000),List(554775, 89554515),List(52891160, 98468499),List(53169337, 73388206),List(40158019, 7498619),List(53198457, 86551372),List(70911007, 77083588),List(49922287, 83908234),List(9083476, 31944474),List(23151172, 43682942),List(92329061, 96018693),List(66376924, 79018792),List(49117534, 75951228),List(51836732, 4710537),List(17165834, 61608605),List(58729441, 99305784),List(57773915, 67742570),List(61684363, 92210286),List(13434191, 58637740),List(2257411, 46282081),List(344120, 4202540),List(99723457, 20047385),List(82520818, 51654436),List(27659098, 27490264),List(18439273, 77419255),List(27823944, 85371408),List(62805367, 83709073),List(25826080, 92740637),List(19255994, 16264471),List(74320709, 32489779),List(18169674, 34039822),List(48814756, 10505331),List(62334247, 9340153),List(18936657, 82566981),List(64565115, 60501614),List(61599479, 60725643),List(87472106, 26257510),List(2636813, 35020589),List(72751751, 27395817),List(94941008, 92178850),List(43892242, 53879648),List(72280410, 48341321),List(29614115, 51208161),List(37663637, 58083900),List(15353139, 95483435),List(95520073, 15923325),List(14581031, 57046824),List(42672765, 2151298),List(82602934, 70331743),List(32652792, 97575944),List(13855668, 96880183),List(63374928, 49764617),List(73501251, 44019537),List(15381223, 53229757),List(77467547, 56361418),List(4013509, 71842092),List(75826229, 83197273),List(71726048, 19749729),List(11168476, 87407141),List(46380028, 83734849),List(61766529, 31689092),List(85901825, 58182814),List(82808377, 98239519),List(11590657, 12816564),List(24463040, 42193043),List(75032277, 46224585),List(22209830, 37249798),List(11372511, 82973778),List(34589467, 20683137),List(22441355, 96724262),List(58941353, 17919760),List(67159164, 35820491),List(41304110, 27984646),List(74314725, 53868747),List(13437620, 50589678),List(25807539, 21628955),List(28560327, 78572157),List(94981019, 31456542),List(5554164, 40972929),List(19239742, 18188206),List(39950122, 96686208),List(62585281, 57418229),List(52735084, 46030838),List(3323484, 90074502),List(78216724, 87888795),List(82990337, 68578857),List(12596368, 99659481),List(85565730, 31853869),List(20950324, 12065332),List(13490315, 41748765),List(97552235, 52797267),List(81717965, 10540657),List(69736027, 45919192),List(7455644, 24927364),List(24013606, 28948148),List(40110040, 29325933),List(5458431, 14012955),List(37533217, 26690140),List(50756041, 46416246),List(65308835, 7206775),List(42429272, 19045279),List(37880113, 72665942),List(60161068, 68373681),List(45281218, 67417036),List(6130897, 54384372),List(2918303, 13423922),List(42884471, 63637290),List(66943226, 80465309),List(69873660, 31571811),List(95814451, 64474522),List(4600960, 11347773),List(85375084, 71140608),List(11871831, 95876177),List(95821877, 64352377),List(84297104, 17935451),List(14349536, 54447728),List(56468223, 34697537),List(69442328, 13341418),List(93655388, 57829262),List(15163629, 77004274),List(68906630, 52812879),List(22061149, 70524761),List(4155382, 60553141),List(9047980, 25649860),List(71009344, 12224041),List(84477162, 13303441),List(43138522, 57887638),List(19567955, 32342069),List(8054674, 23129879),List(74154812, 57003),List(2221558, 68131080),List(1857724, 28714214),List(76588443, 54058296),List(42470857, 51463268),List(22310545, 35322776),List(76488004, 95186144),List(90216839, 44719353),List(13960600, 25561958),List(23513378, 45461301),List(22637500, 18615648),List(57945304, 49973981),List(73019900, 58833171),List(84869152, 65570260),List(81866101, 89450692),List(51871605, 90795290),List(5956820, 92525331),List(46472633, 21083370),List(42904672, 23470686),List(23650541, 48379353),List(75270730, 51925926),List(93154380, 9970320),List(58266131, 24180816),List(45816457, 21548820),List(57045760, 63891748),List(58150988, 57012312),List(7856411, 87359942),List(24981913, 8723323),List(67444077, 81328091),List(4106455, 33971472),List(85962151, 32768997),List(58232582, 12976656),List(57004019, 46803590),List(10585874, 61534602),List(70535946, 85899973),List(64287333, 83543718),List(36796968, 64485518),List(84222885, 90899491),List(32712978, 60394567),List(2628137, 34742853),List(61636956, 28622951),List(50314912, 92980089),List(72485036, 21866362),List(21634276, 54475837),List(59060573, 15083838),List(91570468, 32263444),List(66263506, 83648687),List(88480393, 43408671),List(59930626, 48460786),List(88963001, 87176475),List(11858309, 62399348),List(72270384, 59734653),List(38401197, 87499799),List(39527749, 6106560),List(75128340, 68214552),List(13035285, 66380319),List(85457400, 54672749),List(66146598, 13220021),List(60171510, 13858472),List(84325721, 89144803),List(93940663, 60792060),List(76443024, 8907358),List(30818766, 50937177),List(14258820, 59717241),List(72588867, 25034027),List(58566186, 81202223),List(58215782, 55875208),List(89588352, 60377629),List(34278140, 17172527),List(25099738, 79742333),List(37817026, 25682206),List(54109985, 15058772),List(43354731, 53616268),List(30500382, 27274952),List(40910251, 38536064),List(47574869, 19967802),List(20333447, 57599750),List(42174991, 89959340),List(89411188, 65685584),List(49310702, 68677848),List(55895168, 13623765),List(75893121, 68824763),List(48019977, 4466237),List(33383790, 87609890),List(47851182, 86683672),List(24614013, 99593498),List(21137051, 87840568),List(93623776, 9898417),List(28118533, 91533512),List(63373105, 64962407),List(92961313, 30441621),List(86399930, 89183309),List(69070098, 6055284),List(10734550, 46661415),List(64342316, 17436545),List(51239510, 52172845),List(96954888, 89739971),List(39576698, 16606314),List(59344708, 76206979),List(77293537, 82778374),List(35927657, 87039121),List(36185354, 37330368),List(33732214, 42893357),List(23208574, 7887347),List(39452237, 73925146),List(57079469, 23196310),List(43210076, 78038955),List(41989264, 76975481),List(25436058, 86331069),List(9876180, 93056413),List(6925882, 41688647),List(93426877, 3524639),List(35783564, 94992681),List(90994036, 60491668),List(22774473, 4309126),List(56969871, 69575604),List(28837258, 57175561),List(5504928, 87696527),List(86738495, 88253398),List(25130992, 38644623),List(46168453, 82249680),List(76144592, 12357496),List(97728727, 54812567),List(88976408, 92159886),List(45240731, 59191417),List(11118570, 42331461),List(29899769, 40684420),List(36827385, 12396146),List(11975738, 86419527),List(29131036, 36396826),List(25303861, 86182771),List(34153282, 78505619),List(76449116, 75473929),List(41108811, 12986311),List(37208424, 7389507),List(22368079, 39583130),List(15124158, 70066092),List(33343066, 66666403),List(70128698, 32719894),List(64826332, 54481863),List(7869864, 61818884),List(2580616, 61059184),List(71841634, 61731471),List(84879493, 73714773),List(11384229, 51017759),List(99108150, 10230712),List(73729578, 11479495),List(96772940, 13262459),List(8207279, 82675184),List(29927314, 25617341),List(58684741, 40714075),List(18533844, 73688139),List(17684075, 80707498),List(11853049, 37934919),List(84420282, 25312416),List(8150731, 92413815),List(18065968, 70530567),List(99262294, 96288826),List(56275818, 71599114),List(97969591, 99780965),List(58586751, 79299490),List(44946821, 4396500),List(88768854, 28399161),List(6012966, 31379770),List(79014198, 20564833),List(3480513, 58081917),List(45235752, 33516449),List(23141316, 50121524),List(32099450, 89802741),List(80918951, 19686047),List(32241901, 23752701),List(32454498, 46849057),List(95646818, 3786223),List(5398000, 98502779),List(45757667, 17819240),List(85710762, 42799990),List(85180222, 35923067),List(69646784, 18425793),List(83842797, 43834707),List(2312479, 18238943),List(41147896, 27612205),List(3976066, 92091210),List(832158, 83327542),List(77361758, 75343068),List(53144441, 27157670),List(98364757, 7644332),List(91725072, 7667768),List(89322309, 89401239),List(43912157, 18617485),List(54351257, 64419988),List(4762825, 33007496),List(11465844, 40364102),List(85282797, 35701432),List(59344971, 87529115),List(76220385, 13783100),List(86661665, 10976308),List(83132530, 9002785),List(72998520, 5975948),List(4134041, 92060371),List(57214921, 41413843),List(49769701, 54773223),List(78237911, 14171131),List(6413778, 5144696),List(11910856, 1439256),List(37580752, 90824566),List(89440493, 70924521),List(43143918, 54447145),List(35315512, 84465347),List(55109133, 96066834),List(47556669, 92768175),List(99739995, 89053979),List(7399430, 36723566),List(90065601, 46233178),List(9265336, 76524970),List(19256724, 10775233),List(54956085, 65169333),List(52610490, 37093876),List(15067358, 54045895),List(35110986, 76956838),List(78365274, 79825525),List(94175927, 30225193),List(67663745, 51526702),List(89846696, 86126228),List(95240436, 75941611),List(83814901, 23616863),List(31483330, 78798597),List(130544, 72615619),List(40740206, 69229084),List(25817160, 33712573),List(19196256, 73438352),List(62493229, 14280515),List(42951381, 7551333),List(37694863, 43443554),List(87360004, 90220840),List(53082645, 66657243),List(71095655, 30624735),List(80210748, 18025882),List(81221673, 97546268),List(47015267, 79543872),List(57456492, 78623277),List(50780252, 81512266),List(20835257, 70806136),List(28322333, 62542853),List(19319879, 76497789),List(39398412, 81466702),List(55212507, 64096115),List(21084522, 5155706),List(4795632, 38613497),List(1825626, 5913735),List(45845843, 87138610),List(23242102, 82489259),List(31263354, 39352389),List(3266707, 62395813),List(59364782, 21660163),List(49316012, 54107278),List(93803650, 81989314),List(1553351, 69336741),List(99801315, 45297404),List(50083933, 46226717),List(78256660, 63852458),List(53187265, 87401417),List(3227034, 85996700),List(6592658, 92919589),List(27043573, 56956150),List(69803659, 17373648),List(23336684, 45846224),List(86887959, 86265577),List(53707900, 16077283),List(55300797, 68729682),List(77265476, 20284677),List(66280767, 77778044),List(31526669, 50344439),List(27100329, 66977218),List(53040411, 40174032),List(6964028, 39998415),List(46593479, 32857460),List(18839035, 55321127),List(47729920, 31896945),List(87866073, 68977002),List(48180060, 18400447),List(48530061, 67911619),List(94695320, 59157950),List(20599926, 46383393),List(59570571, 55023577),List(18077351, 19651239),List(35769880, 83506422),List(91619453, 62688229),List(40116616, 95830367),List(79164345, 54436025),List(94998719, 13028082),List(16026678, 23025851),List(76914597, 61157932),List(12977950, 763376),List(29068754, 8195732),List(22721859, 1800777),List(19631969, 2363471),List(26535211, 8712484),List(54243691, 99526646),List(14906314, 51109182),List(64642478, 66678103),List(96324216, 94034339),List(75521453, 3699526),List(13723563, 70737887),List(57493960, 95350961),List(78218644, 96916657),List(37903346, 76385548),List(79317676, 54449559),List(13154748, 73950800),List(73596004, 73645611),List(50350952, 98367310),List(87174727, 57104068),List(76601951, 86396936),List(44899562, 45454812),List(33453255, 86185231),List(13099832, 47379198),List(67443222, 95577436),List(51502467, 42351982),List(89148202, 61030080),List(81832384, 22311577),List(70526182, 48677353),List(27294978, 82357990),List(18558084, 86272921),List(72407572, 49429669),List(11164927, 47593905),List(7305839, 86941382),List(41753743, 57896281),List(63101625, 66374459),List(27158801, 17134136),List(37751956, 55486536),List(69916524, 11787717),List(5436838, 54949642),List(69519929, 68679351),List(93220815, 39687007),List(73483811, 43413410),List(97378481, 10835848),List(22404693, 43438597),List(65679634, 88936568),List(72955238, 49493854),List(17331595, 84251933),List(39131826, 21825102),List(40393347, 46380516),List(24662959, 58764786),List(59414122, 53713131),List(30417506, 25033280),List(23847390, 86059079),List(29994963, 6302029),List(91433154, 90904355),List(16888763, 62204860),List(64350169, 34254912),List(42009331, 78416761),List(2850569, 96752031),List(47261393, 82715735),List(10772082, 25422962),List(64817314, 18275897),List(48411477, 69584300),List(18123859, 94791910),List(11870905, 66110064),List(28856980, 63406794),List(14749328, 81323180),List(83474709, 85398410),List(81090732, 39370835),List(7616965, 27000335),List(21463444, 71567111),List(56454092, 43344843),List(49019518, 7517439),List(32725711, 58767966),List(72512788, 62869481),List(47175925, 11060324),List(14087296, 72950022),List(8277850, 29949008),List(80854647, 23135050),List(69903347, 12481228),List(13906426, 23105355),List(86558639, 37218224),List(42086665, 82423140),List(14773755, 58852247),List(17122170, 12919103),List(3097616, 40597464),List(55550197, 81415643),List(68528767, 50908411),List(35482949, 67418223),List(95181657, 2885595),List(44214468, 16823860),List(56897489, 84356459),List(33544424, 16220848),List(20547810, 52039262),List(57200620, 90314398),List(88050414, 68125774),List(58628213, 76818369),List(6715412, 49063473),List(67488798, 30138781),List(64107633, 27860350),List(25278434, 95644165),List(57464824, 48897593),List(50923409, 60741666),List(59831708, 76252953),List(79205026, 14473790),List(88236718, 72272543),List(79614398, 71292086),List(19519115, 9776472),List(5413074, 31026371),List(28876445, 52148332),List(98028635, 36622646),List(19803875, 39831740),List(3424707, 92194947),List(46415228, 70728355),List(25362711, 4596543),List(23635903, 16403607),List(76042663, 67622786),List(54371063, 20294184),List(83465455, 68715266),List(96989063, 24425772),List(47646526, 59504426),List(91094358, 95377683),List(19012787, 91534489),List(90209236, 60865385),List(61867941, 43515831),List(48144172, 5977697),List(72640090, 75868538),List(39809614, 77905119),List(41206406, 1698735),List(79766174, 96722647),List(79111033, 53667331),List(50610061, 26683615),List(46296442, 11894536),List(58501577, 86708501),List(43011231, 35098043),List(13398630, 91873841),List(5221249, 33600207),List(73617541, 16317840),List(70161945, 21112444),List(97860426, 10910066),List(38023776, 77122716),List(93718832, 2730324),List(79139476, 74505448),List(87143706, 19895796),List(9964908, 42075279),List(77403948, 1213607),List(91552816, 7164302),List(58401638, 9676347),List(70738676, 41091883),List(14077333, 95785189),List(94523023, 48764833),List(24053580, 63402838),List(10841343, 46725075),List(19455550, 19069632),List(1282457, 9697031),List(90021010, 49685716),List(61910199, 97671667),List(19276678, 48165848),List(46272667, 15629470),List(25314522, 74544094),List(11550455, 93587206),List(63113569, 1781341),List(4619754, 19160436),List(64278336, 75353596),List(78004223, 80215007),List(33877193, 93073949),List(33091887, 90768889),List(93980570, 80017226),List(22581446, 74961584),List(28880333, 92111352),List(62410714, 23379521),List(36997570, 34121250),List(8955840, 21648565),List(26042310, 91322431),List(22938968, 57492491),List(63483321, 62011787),List(61072580, 56181904),List(98496099, 58211834),List(99459309, 69541736),List(24369500, 81966867),List(71044004, 9685189),List(40312583, 19503093),List(67519524, 86038171),List(21700255, 42565878),List(4822593, 25116313),List(89952182, 43968384),List(97773428, 47634075),List(96935362, 35116955),List(4661800, 38800872),List(6241888, 13146348),List(75736674, 3457914),List(88195896, 58893355),List(92208537, 82185823),List(53146187, 27919553),List(43141507, 67476528),List(180674, 35393793),List(16339544, 44160142),List(2997533, 21811473),List(78994679, 65930007),List(35881857, 39329331),List(1741836, 66894408),List(11924790, 54948194),List(45445470, 34069789),List(11327001, 38522520),List(89689590, 79079990),List(43856181, 13896426),List(64379673, 25229002),List(86275417, 64654998),List(14512541, 96303327),List(10740051, 44810744),List(76991349, 45583226),List(3604768, 69169808),List(37450844, 91687932),List(1330273, 36630785),List(28205921, 72001988),List(34691739, 51371003),List(5446582, 23429678),List(92074072, 67355060),List(71658763, 13349419),List(8738755, 62040985),List(36128896, 45555402),List(24925259, 65790165),List(55088542, 71137268),List(87696748, 94181126),List(99110127, 22321673),List(82146140, 95368395),List(67245102, 21232244),List(80770502, 98075121),List(28840514, 10197497),List(37549291, 71254377),List(45507425, 45807070),List(58612669, 84698929),List(60334630, 79461901),List(22056200, 74116934),List(54720431, 99931867),List(21231699, 29014781),List(30817560, 93065331),List(18952597, 18532546),List(69304276, 63602621),List(15712696, 53599532),List(43225229, 28396020),List(5910248, 59272855),List(52378227, 45471521),List(21527117, 64335763),List(57331263, 72964716),List(63153299, 35225355),List(51626950, 26252429),List(76216465, 65482035),List(70879849, 5727226),List(1336066, 52771477),List(81618710, 8326759),List(50302960, 72097088),List(92646380, 96472422),List(90657671, 48938992),List(13035234, 39001792),List(23583850, 16408179),List(15265971, 692430),List(85899527, 34270681),List(35141976, 8326776),List(91290893, 86951404),List(60281810, 72123890),List(21286173, 11939828),List(26608107, 80794965),List(35554835, 59974932),List(36544701, 38534561),List(90435767, 99454983),List(9551388, 7833555),List(86370713, 89797785),List(4289203, 16634809),List(49473294, 5084892),List(89212208, 65466382),List(2254601, 5589548),List(93566115, 95337392),List(20614676, 82926737),List(25755414, 20339722),List(10510785, 63102726),List(92667272, 53448143),List(14344464, 72170003),List(76114493, 83462070),List(44579510, 91577412),List(28035878, 93256058),List(95399547, 2607390),List(73722215, 94618928),List(65416761, 5851139),List(69992497, 39033818),List(83895725, 25924313),List(91107367, 38255537),List(3903602, 68508162),List(87428856, 17319217),List(99116325, 21169056),List(73948634, 14708244),List(77279967, 65980561),List(1957232, 96333161),List(24367220, 29792829),List(10799552, 24652233),List(44132586, 17276214),List(69089231, 3441048),List(29861117, 71060565),List(8699145, 46892106),List(49909749, 6310951),List(38265460, 23694195),List(35542766, 86281531),List(87592928, 756227),List(29687650, 19736988),List(47962263, 27909513),List(48817876, 8508722),List(81713403, 37266827),List(13077877, 42546218),List(93068482, 37894649),List(59022265, 40560249),List(16228430, 13719758),List(74232236, 43677558),List(75532999, 29430041),List(66527957, 25582288),List(93056779, 75511204),List(88340567, 39270765),List(170864, 99136312),List(70234229, 37939975),List(13857132, 8063013),List(67059534, 14119751),List(55072057, 82424573),List(85444302, 64485507),List(31803194, 90772882),List(39939998, 71205766),List(24637706, 60444398),List(44251798, 92424074),List(24041225, 49780437),List(84799154, 31378121),List(22892862, 58585046),List(15811888, 48017201),List(37911971, 87754105),List(24819603, 26299554),List(55969911, 49256368),List(4917952, 78784119),List(30377897, 21606970),List(51701127, 60885791),List(29572429, 95077851),List(65293718, 50505843),List(23351209, 57686378),List(45583688, 42048852),List(1587813, 17025862),List(75194601, 12777664),List(67332089, 37877359),List(28622291, 44723606),List(9156551, 62939027),List(35792356, 77029361),List(11407562, 25873690),List(6420150, 72355139),List(13297199, 33541597),List(58056643, 27154845),List(12590269, 96558296),List(52093394, 18671434),List(58697616, 33986103),List(11606098, 94544007),List(88899531, 42323141),List(66592942, 84998681),List(36887791, 49179065),List(5985191, 30368190),List(64341536, 46760569),List(89322456, 99449306),List(884576, 87429709),List(83445806, 81965003),List(64422048, 96512630),List(43317128, 16583470),List(32707645, 92992644),List(18166914, 90745283),List(55331658, 86171351),List(47327497, 99694133),List(20945910, 934398),List(20089628, 58212872),List(28091615, 98548916),List(30886579, 78122484),List(44671179, 26099025),List(29230510, 43545634),List(83052600, 80580922),List(44109598, 52436121),List(93666425, 98680907),List(33916499, 79030218),List(56644894, 78033342),List(74316567, 16174286),List(276397, 37749085),List(33878805, 74739156),List(93509766, 33161179),List(24849470, 18107809),List(78344425, 21232754),List(92484198, 66659672),List(31266952, 36037461),List(81234116, 31989880),List(19306540, 31250751),List(40153438, 47364411),List(2123785, 4505798),List(1738656, 57692199),List(47655460, 21480587),List(11279545, 37549940),List(91705234, 40950408),List(88911280, 44863632),List(66429588, 55002554),List(93486006, 94558185),List(80689820, 60413450),List(8713559, 91224034),List(6982490, 80717432),List(59296646, 97420811),List(54856599, 99679497),List(78716235, 98623946),List(18747576, 94737801),List(54179641, 19877009),List(22757653, 22280352),List(65559848, 53110392),List(9311833, 87961702),List(61539100, 62918930),List(75074504, 65283888),List(53216321, 28313121),List(8632847, 58446292),List(86191881, 91332293),List(66411407, 83908813),List(97293931, 56538953),List(36747973, 92538240),List(82502022, 88580831),List(44623105, 12937532),List(33148315, 63152564),List(1413182, 62906321),List(34543984, 1392156),List(6084158, 43932441),List(81462693, 56489302),List(54572952, 80853338),List(72482925, 43756874),List(59398246, 68700579),List(14720683, 71221206),List(44969164, 35905574),List(20693968, 15191123),List(8075520, 43233579),List(57229742, 43978054),List(67947868, 92340007),List(1008682, 75892015),List(3673136, 86745232),List(67289360, 83292787),List(94994056, 96908237),List(40396008, 80732860),List(18105425, 36769302),List(23777326, 65890635),List(89009831, 79207518),List(27509774, 60378092),List(36661989, 65855763),List(52642370, 76882038),List(85335798, 21326558),List(43501692, 35734903),List(62303751, 4480001),List(65425152, 74081187),List(25401803, 39413172),List(60407808, 85281898),List(35240596, 90495859),List(26307505, 48762431),List(35140924, 42396026),List(16775902, 96110845),List(62695027, 91640781),List(76124127, 16248945),List(96130090, 79060555),List(29459806, 9176410),List(18536494, 55166074),List(78989258, 48275500),List(98420556, 11173939),List(46962392, 66420201),List(81765879, 29090333),List(49062555, 30259221),List(10964691, 34809956),List(2099901, 27974606),List(31931821, 3769265),List(89241902, 10237521),List(31506749, 37605765),List(30956837, 88933966),List(49554572, 54162616),List(77967891, 63780256),List(1120244, 5266541),List(78053347, 89671695),List(59154468, 29091376),List(15711601, 21100266),List(43216852, 11336612),List(95171923, 67499762),List(91808228, 17835101),List(8685624, 14079125),List(97053131, 78200303),List(37524361, 35250437),List(14596852, 90911214),List(45718458, 52268184),List(53697584, 41751241),List(88595408, 74364745),List(67139711, 78557909),List(12627850, 55421773),List(47170736, 30412911),List(78895163, 54284089),List(90836675, 62449427),List(94259151, 59920450),List(8624991, 73062621),List(97547449, 43260186),List(6007233, 5169883),List(77553243, 60452485),List(5458140, 50577069),List(72805456, 79328948),List(4763465, 87124353),List(89242742, 20309176),List(30870121, 33329833),List(44778590, 7186900),List(37939757, 35321523),List(43310753, 72223112),List(30295056, 1679400),List(43615546, 13578008),List(43560722, 67188752),List(20699704, 70900584),List(76279483, 21523666),List(5411299, 49892063),List(52913883, 49511093),List(42608212, 7779803),List(16545797, 20643862),List(76544681, 38668399),List(20014782, 26632790),List(97057242, 33537450),List(69006884, 52802046),List(72150565, 40498491),List(71553192, 46176475),List(45064787, 33201833),List(91948517, 37703030),List(11712690, 75551513),List(28181236, 49057195),List(31176833, 44121503),List(50899300, 66279435),List(81676339, 56224842),List(32389763, 4654707),List(87842245, 32997907),List(40430898, 31312340),List(33569369, 70623690),List(8897034, 4219361),List(51322844, 1739070),List(73659298, 25206341),List(17282610, 7480199),List(83317784, 16584947),List(4102834, 30929580),List(99873169, 61699945),List(5636045, 38479210),List(44309322, 19925314),List(34414606, 73664317),List(80492193, 56100123),List(81296851, 76002838),List(15217016, 87323622),List(22444157, 25691631),List(60926916, 75956194),List(80690241, 77416194),List(34501429, 13075615),List(21273490, 83220272),List(81237817, 11098623),List(89221372, 76262671),List(20850510, 82888349),List(95152509, 89325201),List(35732654, 38078127),List(40836764, 88383011),List(67389825, 85131655),List(75405915, 30863867),List(50320073, 78827797),List(6573025, 83316388),List(76700714, 72651804),List(55395650, 68759297),List(33111829, 21205523),List(41407197, 62575552),List(86456006, 30351641),List(26581139, 44625651),List(26365837, 32819306),List(88174734, 85813119),List(48616846, 88039845),List(98514354, 58120540),List(24640225, 40758588),List(27354490, 69556342),List(73837716, 43012948),List(47018386, 99772348),List(14935354, 90207416),List(31841726, 25439498),List(11387400, 99975525),List(22332212, 66084917),List(2468089, 98767396),List(22905109, 76211798),List(54306156, 4607176),List(53691029, 62478135),List(43716862, 99389103),List(39344469, 2357358),List(41294427, 93406179),List(78386284, 16938954),List(29356742, 83132244),List(20712284, 41357945),List(99216438, 26920204),List(54222198, 81580169),List(451362, 47024300),List(43374519, 6430380),List(88710097, 6659480),List(12190958, 88542610),List(55737515, 55320026),List(78052066, 19505548),List(32159579, 22434923),List(74034312, 36481941),List(94817059, 33357540),List(15735709, 6168807),List(40883027, 3297899),List(56181181, 31590882),List(12524259, 94457274),List(51084067, 16404976),List(7204081, 42729558),List(64759083, 3556266),List(4146585, 92285906),List(1366706, 26507518),List(77771183, 51106830),List(92333817, 69253016),List(73000737, 43545150),List(30357140, 14342559),List(44452150, 75704569),List(75788407, 98528654),List(58622148, 64132725),List(35928461, 32492516),List(36692747, 72632871),List(82265939, 3899739),List(72294138, 64304257),List(49399859, 9444939),List(29384557, 64321172),List(93439399, 12372684),List(85232450, 27369867),List(46687632, 10906036),List(65214235, 58640029),List(21394479, 68461460),List(44595584, 73920493),List(23756371, 1496834),List(60396646, 37645705),List(42379992, 61975017),List(87554758, 15144009),List(47734355, 35623195),List(18785281, 62702503),List(14554043, 57971519),List(7460379, 53595719),List(31218836, 85937935),List(49801204, 70821742),List(50152174, 87641499),List(65653549, 40699021),List(68368929, 86584916),List(72365052, 81273309),List(34982686, 72853930),List(17064352, 8154362),List(95441309, 94094290),List(46752732, 22301293),List(29278119, 88208516),List(76865047, 29013901),List(82557663, 38244721),List(37952472, 50733881),List(82665876, 71587394),List(66446011, 85645019),List(14986007, 6584949),List(9333428, 43092117),List(72750233, 99124055),List(22732695, 54613801),List(57093042, 93002670),List(4423283, 4736796),List(37224887, 391343),List(34398464, 8743815),List(75960515, 43134937),List(7311411, 10821119),List(82463130, 95701043),List(44136390, 57897453),List(61594334, 45366422),List(86298088, 38266272),List(143234, 95954174),List(24793100, 18659241),List(79657150, 28846880),List(48694973, 67663569),List(73265494, 75265954),List(94253040, 12353729),List(52592250, 26060262),List(42588522, 34646907),List(65807675, 16850997),List(86496081, 95121244),List(97237637, 66163442),List(5968092, 95290926),List(44028524, 17903776),List(68503139, 91927796),List(10738004, 63016467),List(94265495, 76577399),List(94506043, 94795571),List(44353564, 56448566),List(92230862, 26443218),List(63453431, 60477470),List(74938944, 76144798),List(81562714, 14542408),List(30256418, 69633561),List(31288740, 70389082),List(55302044, 57798373),List(47005505, 60840844),List(84252602, 74694067),List(85287219, 89758946),List(42719604, 90560798),List(34224587, 90265883),List(23035219, 7366776),List(55965013, 97847987),List(2382365, 5616227),List(38561484, 38049190),List(47558471, 54442171),List(63633067, 25633373),List(20155206, 47127571),List(80685011, 26083632),List(97996202, 34159238),List(13601273, 96142040),List(98357616, 31947039),List(88641136, 69873164),List(11046784, 28658395),List(37908974, 13950630),List(8888960, 67054837),List(18639265, 62623748),List(78284883, 73067381),List(72351077, 18286151),List(64893249, 76506521),List(23163685, 2018471),List(5575499, 78209196),List(26763355, 49278035),List(82376120, 18228629),List(91237448, 45287646),List(78705298, 33916901),List(52470917, 67472218),List(70166790, 59596341),List(3188836, 93056084),List(10772031, 80734556),List(4938283, 35290621),List(46928390, 68935852),List(11022426, 2810434),List(77254924, 48489888),List(21434507, 35664551),List(3937055, 9316916),List(68768226, 7342870),List(79346568, 28660517),List(46956459, 28926511),List(92803221, 24760033),List(68430246, 43256680),List(53498462, 17927523),List(53634473, 75309541),List(61542288, 96386414),List(87906085, 44089437),List(99514843, 86423205),List(6409338, 8322546),List(41978974, 76807816),List(69324904, 1665038),List(92753195, 32095884),List(47137562, 5174619),List(90802182, 5614274),List(14520916, 43358754),List(78509264, 64933531),List(54752707, 3612223),List(85126895, 56186801),List(52572618, 68764176),List(40412938, 2529720),List(79615126, 29665078),List(63516370, 14507342),List(72593426, 58828511),List(96559495, 55503366),List(35792479, 46948869),List(17398888, 18188112),List(99543278, 33636578),List(77670309, 44543327),List(7463744, 61597915),List(80245557, 78162273),List(39749114, 40734656),List(18937631, 75037042),List(96800705, 85699181),List(6103569, 20153603),List(65429512, 88188465),List(53880984, 3776864),List(31903298, 49363779),List(99443032, 78980618),List(76652947, 83603730),List(13465802, 78178535),List(81095927, 60634068),List(43318804, 94449777),List(20175306, 26379751),List(3499354, 42718784),List(81729157, 99406579),List(38322181, 8525137),List(11585673, 67658899),List(64603833, 6218994),List(56604713, 51612398),List(73310073, 70619751),List(68627647, 8383110),List(61276215, 54017174),List(15489514, 15691476),List(85002717, 27063897),List(86634320, 78444567),List(40531744, 49644811),List(60809942, 28188767),List(18987166, 48944003),List(58960939, 77158454),List(50248736, 38901539),List(38131544, 77982927),List(49984249, 12156334),List(69175281, 66639521),List(29363133, 25121137),List(96302125, 12772294),List(79875715, 84786016),List(95123981, 59577035),List(94325972, 3182675),List(77846685, 85439980),List(96744587, 61087453),List(60804489, 91434914),List(15987201, 33016118),List(60269432, 63671292),List(89174860, 30888595),List(52057050, 28400515),List(23997515, 7359696),List(32760471, 57350268),List(17797378, 38738750),List(74726032, 6606680),List(99798442, 35461887),List(11475638, 22861714),List(15615281, 89554749),List(36430771, 33464390),List(39297454, 1670309),List(96169495, 90590304),List(21435159, 4208224),List(92535374, 7385340),List(62906989, 59598959),List(14967521, 16110307),List(74997257, 29418122),List(82673136, 69525517),List(55797027, 73089275),List(85858692, 19972712),List(98471147, 72122595),List(77706631, 86413622),List(83714303, 52552375),List(10308484, 11741024),List(54477871, 23530749),List(51225527, 56310766),List(24633170, 89488343),List(35189017, 90883299),List(97748656, 98640761),List(25892485, 51839589),List(97815793, 66658404),List(8918169, 89380051),List(78434858, 98271347),List(59628654, 98042866),List(10019907, 87873758),List(9210793, 3262365),List(63090691, 10568217),List(16599481, 33739559),List(17040580, 59682819),List(33454015, 59091600),List(10596743, 75280747),List(86166411, 87998038),List(14049730, 97332862),List(13622906, 87362319),List(40904698, 59316580),List(2135678, 86442645),List(34703779, 7365279),List(20283630, 46931135),List(59906324, 6070000),List(89711122, 32929586),List(53997364, 69580053),List(66826501, 5543668),List(82781575, 79761936),List(10925064, 23528499),List(25192290, 75566787),List(97162188, 50378723),List(5511265, 48166019),List(66876444, 56717248),List(35592368, 65789716),List(41418304, 12521701),List(13775130, 59793238),List(53490392, 25658202),List(88512069, 52777113),List(30390386, 41627319),List(65155273, 1894848),List(10764603, 5943230),List(81548574, 14057461),List(3272707, 27711137),List(68041275, 90890012),List(52820187, 24326065),List(51236101, 99635804),List(76048704, 12044038),List(22636918, 40245791),List(46376900, 83340341),List(91795772, 6740119),List(86328038, 66130542),List(88269286, 59213804),List(60992528, 76329881),List(78453442, 32886404),List(28653257, 35088280),List(84987943, 8237137),List(63057907, 15305228),List(25588309, 96344732),List(31436975, 36487793),List(22068547, 69702677),List(17821963, 3357702),List(27421036, 85823232),List(26196625, 12390413),List(63486449, 89777221),List(37510701, 79287193),List(85117079, 65306649),List(48808868, 71751964),List(94018184, 50601724),List(89771231, 52890663),List(32330366, 79009471),List(7720041, 4411037),List(81594414, 84798890),List(12036798, 85049379),List(53054667, 68786264),List(19511547, 1536147),List(16327644, 70616226),List(41699607, 46503048),List(215706, 34493765),List(35347653, 16573577),List(97165764, 87233073),List(94959101, 66707062),List(58535531, 42208058),List(19937590, 90332030),List(73643205, 93742754),List(38274060, 47013658),List(430707, 23204044),List(52066110, 70631449),List(18214897, 43490974),List(37756389, 84125573),List(26084891, 78151477),List(3392732, 29279263),List(34876137, 70112109),List(86216609, 47638828),List(818157, 66606148),List(49750020, 39086528),List(12921772, 32630067),List(25502957, 51055485),List(38671352, 39199353),List(50380298, 12198817),List(42673748, 34716544),List(37289772, 96444164),List(40171859, 64712953),List(78833831, 9846058),List(39333226, 13081808),List(96939792, 28446415),List(57075374, 28170781),List(48163790, 35792488),List(34558757, 55244249),List(86826392, 42723216),List(46598240, 8766654),List(33874465, 67142207),List(45800505, 14456124),List(36505825, 69058679),List(42095303, 93125002),List(4727190, 5125999),List(4798549, 13862019),List(56456303, 2965784),List(53552501, 90896096),List(49990757, 7126691),List(24861205, 98436641),List(34038232, 3965784),List(29167415, 71796335),List(38861161, 35025995),List(12433377, 81385780),List(89305963, 95113449),List(37223667, 20935817),List(34637564, 3423377),List(66618892, 46419881),List(64271691, 11454379),List(11143335, 85430641),List(41551333, 51727269),List(34991146, 57509165),List(26251319, 71724251),List(15980627, 67643768),List(78700713, 3401742),List(33713998, 19049660),List(74622081, 46828137),List(27029118, 3759269),List(23963720, 86608674),List(39871464, 3721520),List(70594138, 91054475),List(79058565, 34798179),List(58968094, 55244488),List(18655454, 69447623),List(85314608, 68567642),List(36259599, 32400674),List(44990810, 95938490),List(30472249, 96554610),List(35404913, 17730092),List(99391106, 45867696),List(11271723, 90561760),List(92475976, 65009193),List(97828249, 73251272),List(80312804, 55323800),List(41833486, 80875011),List(80160568, 25358191),List(92144801, 28568106),List(70528778, 5533559),List(4913528, 2791121),List(36636905, 49284298),List(3485586, 71257812),List(30079172, 67672578),List(96266436, 9936285),List(17995670, 23258931),List(3263176, 83392265),List(51931628, 71631916),List(51989288, 96954657),List(46483114, 62700434),List(89262382, 80236135),List(22157906, 66416141),List(4121187, 31225415),List(50779038, 58222935),List(48537588, 74793340),List(62527834, 62288535),List(27074969, 38489588),List(30623705, 8560885),List(49305239, 17406142),List(39387848, 74901507),List(59738925, 82854909),List(312715, 30987888),List(81242538, 80901464),List(78566601, 44534733),List(71725236, 62151921),List(43718525, 18215092),List(58121274, 13266915),List(35327617, 44008677),List(36189455, 82167869),List(94495908, 33823855),List(23576067, 11475873),List(61263581, 43490091),List(96182144, 27677080),List(4466839, 59773502),List(99423574, 56305714),List(14562454, 55986126),List(61940524, 93292378),List(55172371, 85731332),List(27242643, 89035216),List(52682228, 52145808),List(83279675, 80346575),List(10176737, 50753148),List(16471985, 78733278),List(73184832, 93646641),List(64197154, 65955799),List(84640047, 17359022),List(55050453, 37479040),List(59724131, 469980),List(7405414, 26590684),List(74394373, 97364127),List(35788087, 66697993),List(61266352, 86944149),List(16925518, 36848501),List(91661888, 23455882),List(32146750, 55059447),List(93085136, 85442043),List(12357790, 17195433),List(21033462, 73231934),List(20562711, 3131316),List(50358947, 39317064),List(56407891, 96071975),List(48277057, 12165225),List(43816229, 45175059),List(3217078, 73354604),List(3461337, 4956307),List(48167207, 79241231),List(34980668, 74381021),List(91298751, 77162918),List(6111297, 35104056),List(28917068, 13954891),List(89759999, 49326323),List(21304518, 7286748),List(42344882, 85558629),List(27560726, 65234641),List(54461842, 47199692),List(79670371, 42337702),List(52598950, 99959839),List(15584006, 86375639),List(75534721, 80114625),List(95466078, 49483886),List(82306482, 63830301),List(66790436, 98094846),List(57724152, 53858517),List(48433382, 48798354),List(71129371, 79021989),List(4283478, 9912476),List(13148349, 87441380),List(40172037, 25739926),List(43561873, 52115548),List(12026864, 51943383),List(62371695, 88953425),List(6769496, 272921),List(39825925, 31505379),List(16096521, 71796775),List(86035451, 79926569),List(18205621, 92970723),List(89756793, 94156235),List(26103200, 99361268),List(34001059, 4295301),List(63227331, 81810158),List(39301602, 10742735),List(21114482, 38862564),List(46899588, 20555758),List(22567858, 87473510),List(64643081, 4035401),List(51842983, 44342040),List(76829207, 55777158),List(70508024, 75858464),List(86044055, 10258293),List(66437748, 83328251),List(85317146, 65058539),List(55597923, 80889866),List(82616235, 49026111),List(56926561, 46817876),List(77901963, 24103631),List(38385608, 19371836),List(43770980, 30676656),List(71794678, 58959223),List(39460718, 57288827),List(9039176, 61290943),List(26984839, 12155780),List(69333864, 14462358),List(15589985, 36943824),List(38803926, 55455197),List(93812400, 61107535),List(65962306, 31248393),List(97228054, 58372367),List(68307027, 18477626),List(33405467, 51250506),List(3734597, 36969231),List(93561086, 7389100),List(81770532, 57675867),List(59113848, 77027359),List(48488506, 42647920),List(53628391, 74020252),List(35273849, 68652615),List(54643678, 97706372),List(88960288, 72572642),List(74169916, 71972073),List(84316945, 34114716),List(50008174, 30164668),List(35913711, 29795166),List(35445496, 25800750),List(46829010, 16886755),List(98020862, 91972280),List(75800235, 13523405),List(40799685, 96191766),List(8495523, 4901436),List(56009085, 29903240),List(24997613, 72446944),List(37811486, 18515637),List(17016338, 64334546),List(42052316, 99746518),List(31424049, 59535761),List(72710943, 17366004),List(1721111, 71224359),List(47346058, 23016830),List(21066904, 34105711),List(53148096, 56181274),List(68609671, 998499),List(31075254, 37059050),List(744006, 59297204),List(71964368, 43028650),List(85656925, 44057516),List(56084000, 44555700),List(71920841, 14794102),List(91124274, 77383467),List(69557801, 83638572),List(7373450, 43961866),List(49458295, 56507112),List(3884816, 71968305),List(83566457, 2069526),List(7895297, 11593144),List(91929006, 90392490),List(21457050, 75904537),List(93367363, 83636866),List(95731074, 15526851),List(48202522, 58588431),List(45095615, 87592747),List(98910502, 92790061),List(82475574, 21204177),List(90685129, 75540306),List(93168713, 69090413),List(96528589, 34946210),List(73158472, 52769839),List(92824963, 45682144),List(44554278, 97513952),List(91981048, 50976522),List(3075495, 65541052),List(50243798, 33312705),List(96994120, 38693833),List(69975048, 39527701),List(72797128, 56989662),List(3988245, 71145130),List(36479529, 47553633),List(17938928, 26863871),List(76924, 91702069),List(20227606, 68507227),List(53164777, 10952120),List(54455601, 82557279),List(22165557, 91594989),List(24076007, 16535152),List(36849818, 12106715),List(52589238, 20645934),List(12829758, 58432675),List(61481789, 22427038),List(70640594, 29123381),List(13834754, 14531590),List(18211746, 47805754),List(58100535, 38368657),List(57306400, 45562257),List(30426533, 97102464),List(25824436, 60356316),List(74985445, 7436113),List(97384689, 25841198),List(4156384, 18396739),List(42237851, 705606),List(12871080, 68728640),List(63721798, 49945747),List(65783367, 40205029),List(7230809, 99516406),List(67611663, 46642664),List(90263000, 81940008),List(53760861, 83599851),List(94584986, 68195136),List(73505187, 68020902),List(73365495, 12244655),List(58491334, 20530489),List(57482273, 6032282),List(90766381, 38098470),List(9751705, 44551184),List(67731955, 23952355),List(88490750, 27424634),List(19504465, 59252178),List(10728328, 75206328),List(42043928, 38977052),List(35182706, 16339596),List(81748899, 35051577),List(75322704, 56348047),List(62164914, 90078767),List(14838217, 53205558),List(98309571, 37696941),List(93027537, 95880797),List(58464173, 37630114),List(29702634, 48723290),List(68011603, 26000581),List(79359178, 91702514),List(52896009, 2335024),List(39071323, 20303591),List(2713063, 11297908),List(70410011, 59631246),List(54811318, 59361265),List(90201044, 8642596),List(26371811, 60376223),List(30804991, 27455037),List(6525596, 24113101),List(42186335, 33183978),List(42207007, 87234929),List(72210467, 29135735),List(24758876, 67331622),List(623242, 20621660),List(39544507, 55375034),List(5976210, 79298952),List(70942444, 33070105),List(1361399, 6315106),List(36772291, 8368851),List(19162560, 46839145),List(42693534, 5583585),List(59771917, 76236576),List(23422123, 86163570),List(31651191, 84121759),List(74076900, 17058399),List(88776427, 62386777),List(28542555, 39014913),List(12353075, 41416557),List(8638076, 1033831),List(31146680, 76019804),List(51639978, 53187101),List(15441498, 33381392),List(29539843, 4081778),List(78839589, 61921525),List(93684257, 87070463),List(70621582, 13227123),List(45609637, 12718605),List(88517714, 9304883),List(68570896, 75115130),List(69474402, 7133640),List(97591181, 98113327),List(83011537, 42164412),List(94070714, 86045171),List(39069709, 97273908),List(21156580, 2538580),List(65982700, 4241724),List(77338879, 68835052),List(18799894, 5793856),List(39837570, 70806434),List(20570072, 34124231),List(14045451, 54661929),List(85617559, 16288767),List(41044255, 26313821),List(79248062, 30263353),List(21632032, 91243568),List(72249835, 46528317),List(65921500, 81501385),List(66488258, 2213407),List(57466164, 22563357),List(59032597, 53206290),List(83759070, 31616331),List(70322059, 26245769),List(91361358, 86025570),List(12046123, 3683637),List(23367419, 18594508),List(70837609, 19910620),List(29075549, 6786946),List(87759589, 438383),List(7001570, 16884243),List(32882845, 16429954),List(35034497, 7204739),List(97214892, 62111791),List(11482089, 75844387),List(87306701, 82754851),List(76817742, 35692786),List(15899935, 15749898),List(58640091, 87163734),List(63099643, 19168421),List(86900342, 89114490),List(54964393, 70635023),List(25936640, 95407990),List(59055516, 29482762),List(7084738, 2961343),List(42249606, 23180734),List(92278817, 45359396),List(36180165, 11311034),List(74709801, 96766519),List(62642792, 83469638),List(44893820, 30194187),List(40742584, 75698850),List(51298968, 9061246),List(19226120, 25537415),List(79863718, 17728655),List(5464687, 98701590),List(59486301, 84391184),List(79375373, 74791417),List(20876022, 77407581),List(75162150, 31202645),List(20834182, 37337834),List(9361155, 78175734),List(41540849, 84907096),List(46235498, 67297529),List(10832742, 67576130),List(70761620, 38218840),List(51121871, 23204243),List(56869610, 80654289),List(42135068, 43372375),List(39712950, 52576845),List(44110268, 46391372),List(59046355, 75121993),List(17563632, 80247013),List(94991618, 20612933),List(18059934, 33714462),List(10697716, 52950340),List(21559517, 64505029),List(56086820, 230901),List(90642364, 55249809),List(80153614, 46975266),List(15752999, 14124745),List(63810194, 54553931),List(24409222, 68846875),List(11837954, 27826588),List(48145579, 49850800),List(7156739, 1240014),List(45332065, 59354915),List(74947597, 98961023),List(29542681, 48894796),List(53983500, 83596607),List(68557982, 83586668),List(76724238, 12348775),List(68006738, 74486401),List(42306640, 4596944),List(12614852, 96866943),List(39136143, 71442436),List(25613484, 99295330),List(82759217, 41362967),List(96779324, 85115696),List(5162686, 55211871),List(3151713, 4365610),List(2723159, 13472834),List(72178304, 15099314),List(49619072, 47892630),List(65618386, 45227327),List(21111460, 46884952),List(80045347, 66941296),List(59995956, 34759262),List(17665719, 40852529),List(4725407, 44506192),List(32919228, 34880001),List(59605532, 36074800),List(16084591, 47281251),List(89405223, 93547268),List(8988235, 94985138),List(9914397, 78741681),List(81591738, 4155763),List(97404333, 75774653),List(58729460, 80887341),List(81417744, 35664128),List(12635528, 18029144),List(44249160, 26610846),List(7966956, 5661292),List(28546918, 28558499),List(53985769, 51241761),List(18614330, 57824639),List(27591970, 58814135),List(7267929, 8409990),List(664958, 40267344),List(95872223, 2170467),List(97513458, 45845679),List(62001278, 67297165),List(8489604, 25873343),List(77199151, 10892530),List(51625006, 94834538),List(36228910, 98026716),List(5554416, 70803308),List(54366445, 1261069),List(72409556, 46858292),List(57439668, 99772015),List(45662493, 5221414),List(58562652, 46515657),List(22308373, 21655836),List(21225271, 47565857),List(85444905, 44757050),List(58032157, 62785445),List(12993683, 21057829),List(89610220, 11517191),List(59827644, 28393029),List(68510512, 15406217),List(93084215, 75971655),List(3293111, 88179753),List(5229389, 34633523),List(31469309, 42527708),List(46187762, 56470667),List(29687574, 40755116),List(65407894, 5092513),List(42370350, 11195898),List(60368111, 48457650),List(88613433, 67218232),List(17818764, 57147190),List(20748195, 81687521),List(45333466, 60009077),List(52668448, 44470213),List(14093645, 56985204),List(13984617, 85734996),List(97009772, 78431305),List(99838865, 84347963),List(51598734, 57486946),List(80815280, 50387876),List(9643541, 27498839),List(14967688, 66007428),List(40669072, 79466233),List(4898635, 72472905),List(42590236, 4005400),List(92012975, 51572898),List(78599207, 42674712),List(69984705, 65481603),List(99336187, 58745010),List(79342712, 25521584),List(31927675, 85029971),List(57376091, 94591524),List(20645367, 55411665),List(65558470, 91948952),List(10053860, 36547134),List(87861215, 8692053),List(6432888, 33711350),List(89476696, 60448327),List(26871628, 24917457),List(15251837, 50876130),List(57050093, 39384606),List(79922749, 68166843),List(79096626, 93438915),List(76719199, 27237344),List(36247851, 29801794),List(84184972, 7158233),List(21793538, 45028927),List(85921560, 45470013),List(72640365, 75380022),List(39483404, 95295517),List(811868, 93097464),List(23508197, 62786505),List(71515646, 94324021),List(35024944, 6891963),List(64852349, 73088578),List(92262980, 85888698),List(99383433, 48128108),List(96666225, 21792662),List(12571803, 56087613),List(4822259, 92563940),List(46305604, 84011463),List(1890606, 25896485),List(80106312, 31512593),List(98050417, 83512589),List(16341145, 83418314),List(95974563, 5097212),List(20066534, 68567009),List(77582282, 89322860),List(95874869, 95508254),List(14571703, 9439524),List(64028001, 71842552),List(11924531, 44532197),List(74548467, 17620239),List(76306309, 41314902),List(46220524, 7105404),List(51896215, 89489946),List(65002730, 91448678),List(62535733, 37112800),List(47865909, 3500076),List(55441209, 58903613),List(19200876, 45247405),List(63059530, 35701631),List(98848421, 26416558),List(63887683, 1410747),List(11175753, 61098042),List(45332533, 81549518),List(22238463, 69188436),List(3359424, 16425050),List(53705769, 55061388),List(29944949, 21359272),List(57294456, 90646730),List(67585217, 58508928),List(22253136, 88960909),List(20194827, 73237197),List(52490706, 20871703),List(92262688, 72802558),List(89231110, 39039813),List(84179353, 17076990),List(19863069, 37863921),List(75387022, 78031187),List(46739184, 18139562),List(67466258, 52794539),List(16146165, 80907499),List(82581470, 71918608),List(68360985, 56065229),List(58259849, 66999243),List(34679773, 48087938),List(3878932, 85958012),List(56401862, 23183037),List(21712050, 88429464),List(6451954, 58913300),List(63002666, 4398837),List(87936670, 30321619),List(30513479, 42567997),List(56070382, 39140215),List(51097683, 57107994),List(7927222, 54451480),List(82203209, 38477122),List(35831558, 92191773),List(36083529, 5105376),List(37527149, 29428391),List(84751738, 39431866),List(13792786, 82841684),List(95785786, 46151227),List(58851517, 46458901),List(97529198, 72804021),List(3725337, 24359180),List(92078759, 82651142),List(15127160, 14678221),List(98098688, 72700951),List(56213933, 43665894),List(59346092, 29074281),List(556838, 94822794),List(2655349, 20898271),List(18962064, 41826857),List(45904829, 13168071),List(57127739, 58772242),List(31572568, 18186061),List(1220478, 39414634),List(17253655, 55894519),List(11965150, 30708050),List(83461397, 53194320),List(37578795, 43936200),List(78223213, 11725308),List(601563, 1623144),List(86495518, 35233996),List(4756258, 87504329),List(89751706, 32310112),List(15081296, 22076223),List(59167730, 74846609),List(75708479, 21959333),List(40147138, 99681437),List(29354302, 59155985),List(23513126, 15206608),List(11254767, 17324077),List(75911760, 92898289),List(62726542, 50821007),List(2155090, 83472578),List(23705070, 72866712),List(30261479, 19120101),List(24546492, 29906252),List(55998543, 22972823),List(49273249, 71662389),List(59937322, 64044747),List(81631838, 10698804),List(84211208, 3843941),List(27404008, 61115692),List(29246052, 87696940),List(7848779, 51879389),List(98878594, 94780819),List(80982818, 96303432),List(79689637, 62020267),List(29743980, 49194122),List(47201184, 46550771),List(21814504, 99786214),List(18541728, 90066833),List(61976989, 45893646),List(19906912, 50979851),List(41595689, 18154238),List(70650239, 48334818),List(89619857, 12731712),List(17816440, 6731114),List(95706455, 11220932),List(50171102, 83956790),List(96457088, 40877467),List(84159669, 6386325),List(27806785, 96556617),List(28690555, 84169116),List(83990740, 23982404),List(83472524, 83053142),List(88145339, 81835458),List(4936264, 58574455),List(69985796, 13501186),List(40130628, 50610938),List(83532202, 89667414),List(85971885, 15315673),List(13671514, 47304458),List(58710289, 35463473),List(22467982, 84097653),List(56916794, 65332082),List(69841118, 84814051),List(26337756, 15980800),List(26319536, 54838895),List(8751841, 23476193),List(41871974, 25570317),List(41642914, 28775716),List(79612813, 38198662),List(67464731, 94440090),List(12395625, 80685657),List(38483510, 21877818),List(13254469, 31137789),List(85009606, 51419656),List(80554800, 73769633),List(43928860, 94197254),List(31283418, 34879848),List(58015454, 72012958),List(49476030, 67851763),List(41541869, 55696291),List(29973098, 71467427),List(45110249, 76520687),List(43855245, 59638425),List(29387043, 69310675),List(93154955, 92544025),List(43259139, 28498102),List(35225699, 42288885),List(78974820, 69287649),List(32317369, 1483623),List(12733388, 43279830),List(79399607, 21796045),List(83890310, 1625913),List(25873433, 4398662),List(54647750, 93679050),List(31473856, 14450453),List(76955116, 71178287),List(80429239, 85018322),List(36146239, 26175572),List(22288656, 36148887),List(95006456, 40480695),List(78648066, 59459255),List(57081367, 44460095),List(63823828, 30561856),List(42083000, 62135668),List(43956105, 8832530),List(55828431, 97382105),List(61166074, 3754483),List(69547957, 61193732),List(20611249, 84581027),List(58613599, 71694833),List(62852866, 81437099),List(80230665, 5010617),List(12153538, 72505401),List(11862122, 12341154),List(50056761, 97851262),List(53167696, 75030918),List(51708511, 38087437),List(21939802, 57452696),List(53754388, 81874917),List(57960743, 274750),List(88188858, 32071191),List(26376546, 28946366),List(9985034, 85833644),List(57975111, 11354745),List(63311756, 15144666),List(91532373, 941054),List(57455415, 65847588),List(39494601, 50482676),List(31444411, 65043547),List(42409721, 27013292),List(81183596, 2688437),List(26097441, 92875910),List(41516657, 61850753),List(54408059, 35276839),List(67163217, 96692453),List(17522159, 36801761),List(86382632, 78868845),List(4869088, 62380627),List(69635106, 43848864),List(49034302, 95906115),List(6071618, 68727621),List(66242241, 28397335),List(44534404, 71956357),List(200889, 4169031),List(46824691, 58761188),List(67400077, 14787416),List(8949826, 81805323),List(17773423, 81364956),List(72212577, 98865399),List(19566856, 26428416),List(12543247, 51799769),List(84906975, 87757010),List(82780171, 14518237),List(70690456, 34678200),List(33191687, 28158616),List(26795940, 42583702),List(87770596, 66452967),List(80344087, 92336389),List(23538281, 71739886),List(12554096, 57020509),List(90178202, 21925586),List(96176505, 24225712),List(62265662, 57424230),List(51286932, 24809637),List(31311104, 24184222),List(83842632, 45928212),List(46540569, 63734367),List(74700272, 43171052),List(92580190, 59430583),List(19749193, 94276623),List(91502033, 28648253),List(58765811, 22362534),List(4118210, 72346693),List(89236446, 30116043),List(59797057, 9285432),List(37597356, 22488300),List(30769638, 41829446),List(79634584, 56412841),List(14966798, 61315762),List(83879889, 61592582),List(24653027, 89809661),List(23476540, 78302912),List(6128059, 13874111),List(54239187, 98194683),List(7647407, 26977363),List(81698991, 12535888),List(54036619, 74204317),List(23763746, 42457751),List(46441803, 51846064),List(26712172, 87258005),List(22766940, 8171874),List(95490212, 60670532),List(64296495, 82297508),List(79396173, 47870650),List(80377821, 21345663),List(99550115, 81766712),List(77112453, 14570253),List(10981761, 42292894),List(95142227, 46639302),List(19243925, 47339035),List(65841275, 11390915),List(10255606, 3241136),List(69799083, 75975493),List(85492455, 32488964),List(28616004, 78264724),List(81457020, 76710243),List(34682170, 39586595),List(10168532, 38544531),List(96391028, 84590647),List(3809943, 23553049),List(50502713, 3684322),List(63540457, 24098389),List(59364179, 28571079),List(83662116, 65003476),List(42364481, 19272052),List(33164739, 31326865),List(24930957, 32351474),List(66059277, 63043393),List(66276137, 29260284),List(36781027, 85536867),List(55116026, 2271444),List(49265394, 33825242),List(50253152, 23330105),List(1158334, 56400416),List(93834953, 30661557),List(789832, 88956050),List(59975328, 30226040),List(42181906, 25473021),List(79387232, 69713681),List(89123871, 87753538),List(28809544, 97148968),List(68197244, 49828660),List(39737629, 85804875),List(77121073, 54796795),List(85423503, 59920339),List(21378537, 88618695),List(76396251, 53409183),List(16838744, 55902951),List(72307655, 92231102),List(99215767, 14473860),List(68941848, 10741074),List(81233319, 12308542),List(76192398, 93707417),List(3451520, 78995231),List(47123029, 43529882),List(54455557, 87001325),List(40135275, 55266668),List(84231232, 54609615),List(87673970, 78890257),List(67458479, 76468974),List(89634624, 41722101),List(92832059, 15502589),List(12117635, 7079394),List(64151374, 74899881),List(65419885, 86854521),List(26147446, 35759328),List(5015308, 65552735),List(80772527, 11175553),List(92440052, 66626599),List(69235411, 35677061),List(42261329, 13889879),List(92596739, 23152876),List(68837583, 95194842),List(45217424, 74974978),List(39216302, 188231),List(56319222, 12793599),List(46847142, 9720740),List(86626007, 21291473),List(64273114, 47535775),List(79236497, 60620999),List(77877349, 35299041),List(18467608, 54301945),List(45336947, 16955421),List(25190156, 56509459),List(34208961, 49183011),List(13582564, 68986757),List(61169170, 20451450),List(86185683, 54392209),List(39867331, 40213350),List(72336601, 22214215),List(53712418, 80420557),List(5239574, 74130422),List(30001119, 52507982),List(63232300, 68129086),List(53606680, 83432881),List(94443930, 777076),List(42920645, 70138232),List(71744861, 7964283),List(88115392, 83741236),List(63252364, 69100662),List(98908066, 35674494),List(56243401, 71177567),List(97542318, 80626039),List(58739844, 60323025),List(7208801, 95451586),List(3300547, 89212414),List(14006290, 6434359),List(78893065, 91932562),List(54160106, 32453282),List(84080412, 83398840),List(78274746, 66789277),List(2396038, 69570977),List(87381604, 57173768),List(99129631, 48494498),List(5039998, 89023880),List(15477527, 68625942),List(36364675, 24795916),List(20128570, 89209951),List(72423164, 84164071),List(65359003, 58544282),List(93987772, 77355652),List(8942141, 21919668),List(67113775, 75862889),List(75860266, 41893144),List(9002828, 67947828),List(89029990, 86712471),List(48013637, 36437452),List(71263032, 72164869),List(67478401, 5728410),List(10021432, 73468525),List(35967802, 84220937),List(66460259, 74765331),List(22925573, 38596872),List(11493022, 75891082),List(45236047, 82524883),List(57376158, 50483041),List(17851974, 25405497),List(11430089, 65326956),List(47167850, 58874275),List(53900296, 90006994),List(26795221, 55334696),List(85196507, 37189545),List(22189443, 82470612),List(54221611, 16545029),List(83630503, 56501525),List(42505631, 11835867),List(13949382, 63651380),List(64563468, 11038727),List(55469314, 78341647),List(92007964, 58678839),List(5431913, 11104621),List(42871862, 1752823),List(75152887, 2492629),List(84042303, 71827761),List(35672672, 85117546),List(43249935, 74182323),List(21092297, 57941312),List(90942637, 92100285),List(28668398, 71016100),List(27068857, 19850345),List(64552339, 33440427),List(44792855, 94839730),List(53419845, 28419332),List(12632102, 18736575),List(34759703, 50561267),List(72585123, 77245983),List(65348226, 26698269),List(41443959, 14042980),List(70076439, 2656153),List(84095208, 63963328),List(79040325, 34137302),List(24214092, 91773937),List(1395413, 32822177),List(8304166, 45718354),List(76031916, 90531551),List(55324101, 20830945),List(54684844, 92591750),List(66336521, 48374647),List(10519750, 21057297),List(27816886, 49491272),List(16195436, 97522949),List(32512999, 15634625),List(76582808, 96047690),List(99697269, 50212595),List(390681, 80207998),List(8746119, 60195114),List(23963376, 77738780),List(56206926, 29611737),List(89141170, 20098885),List(18450566, 33972137),List(87809692, 75601198),List(88851093, 84718416),List(80520167, 71812712),List(15905636, 21635362),List(47455491, 60075109),List(39379017, 38073423),List(21789285, 37417270),List(8971667, 72753865),List(67737684, 30271717),List(85048185, 62116583),List(80263646, 72148476),List(62409103, 25763104),List(80759535, 96093174),List(85095080, 27579824),List(77308018, 58262160),List(99709139, 37060861),List(18663683, 5628981),List(58995049, 96093880),List(46556121, 15149536),List(43359993, 77891591),List(24561019, 59570028),List(9256861, 29293729),List(74526690, 8940402),List(10087147, 42364194),List(75037404, 51871278),List(22098212, 25180239),List(73173068, 80119143),List(22768192, 4136169),List(13596029, 8802636),List(11125800, 3861754),List(53857995, 2160560),List(67005161, 82560339),List(54467622, 47537337),List(10998999, 75798632),List(90202031, 88854109),List(19495191, 71465703),List(28049468, 79755827),List(63037524, 22047661),List(24833674, 12004634),List(39201378, 7065565),List(92416683, 9646077),List(33660400, 72559004),List(60262263, 6365727),List(54035423, 49322623),List(70835950, 84745202),List(49052614, 76512037),List(95247632, 9431322),List(28870609, 28252699),List(89027113, 39819176),List(8700962, 42700388),List(19155707, 15399058),List(69854138, 24504883),List(56186641, 36607618),List(70818600, 92510259),List(25282111, 88048909),List(2408647, 24155101),List(45634076, 44805474),List(21762762, 45238146),List(32812646, 75211109),List(54036665, 61283250),List(30414931, 18066861),List(88705462, 95992774),List(17760207, 80324642),List(50995891, 13359637),List(6707069, 91170888),List(36302414, 31706309),List(61583355, 84863067),List(19322993, 87782346),List(2790577, 14703190),List(7232028, 66945848),List(79690042, 86098169),List(97741207, 45822295),List(45383309, 68255221),List(23196191, 53615481),List(96794042, 50520261),List(34434711, 35466094),List(89672119, 14007520),List(16819193, 42718224),List(13356687, 93287642),List(29102847, 44863478),List(49018750, 29889542),List(56957788, 94450604),List(84027492, 25534466),List(97019761, 66756476),List(3495548, 42433546),List(35176069, 90700801),List(36803675, 72493632),List(89838508, 24885655),List(81721132, 2702814),List(50645115, 54460937),List(26029215, 32149629),List(26709813, 91748224),List(29848938, 23747933),List(70362089, 17921824),List(21037390, 31303152),List(86552958, 87327864),List(53790997, 5780627),List(97662978, 73869709),List(78724540, 10680945),List(14234430, 58910762),List(57060264, 63518288),List(95108343, 25668900),List(97463901, 20348008),List(75399664, 15741845),List(95035492, 71200706),List(25965310, 24016430),List(7876451, 40882680),List(62365214, 95158305),List(87242184, 25157252),List(61142901, 31466479),List(67381833, 300786),List(59732482, 37619471),List(8534077, 57399340),List(60989026, 42245405),List(8516281, 87765432),List(70473918, 60340687),List(12233673, 44286258),List(35212038, 53913141),List(84632536, 71506687),List(71776367, 98190412),List(2174360, 66383884),List(20265359, 95086206),List(33493604, 86140901),List(63568107, 27970644),List(33097235, 84081994),List(89553803, 10673592),List(67032142, 49410380),List(39745975, 27162908),List(31551158, 18692974),List(1067271, 43898456),List(4539229, 60486631),List(28080445, 99410710),List(26965083, 152235),List(8816746, 77452642),List(28089922, 48067449),List(51190633, 87996357),List(54709757, 78005855),List(32006124, 31567947),List(72770560, 74700945),List(60154206, 48649399),List(90203375, 51943555),List(87778555, 67984340),List(44555556, 80300502),List(97469264, 7341799),List(83771396, 64502207),List(25423367, 63527899),List(82453542, 97951110),List(93650135, 72606562),List(63095521, 2678556),List(11936648, 29608530),List(32673667, 86855836),List(85139112, 66128420),List(40944639, 72436870),List(53582165, 24230885),List(40665289, 91269759),List(79742359, 52520398),List(95713225, 45215814),List(5283831, 67510426),List(5209469, 3631404),List(46732077, 85985254),List(73685302, 74677902),List(83511719, 94134609),List(33209322, 17628084),List(93703048, 59892922),List(40071484, 59582723),List(22871155, 95868062),List(46794160, 66350555),List(67943268, 59839605),List(78139866, 78406387),List(69937192, 97928337),List(61823449, 95308046),List(82663263, 85657271),List(99799380, 14598599),List(85670395, 17915785),List(3301910, 77081807),List(30501330, 49300600),List(58067674, 1218795),List(97587378, 42985823),List(90714139, 13295387),List(27536678, 60469275),List(87888746, 34779819),List(71049159, 607879),List(69079305, 54679436),List(38288681, 7557961),List(64620941, 6133259),List(55373383, 10445973),List(56642423, 74320255),List(57947561, 93538388),List(17526513, 98088394),List(2161810, 37233202),List(48100379, 64958515),List(73784998, 47813012),List(96128252, 64698418),List(39698343, 57830762),List(60767838, 96077575),List(40838585, 1164291),List(72759202, 41131432),List(58081724, 75014586),List(68031819, 93154435),List(46371291, 52610697),List(10999224, 80610134),List(89879740, 23270568),List(73990728, 70191885),List(32492915, 63694314),List(34699492, 17238132),List(2634253, 66378358),List(50211353, 17972691),List(64200990, 81367549),List(51673884, 39084508),List(46020003, 13613487),List(7640932, 49751203),List(85211160, 34881304),List(1668894, 31738789),List(7353238, 37459913),List(39195858, 76759736),List(42713880, 96422355),List(77911705, 83835328),List(74914918, 70565446),List(83993741, 50955019),List(62078120, 95036280),List(49328229, 83801893),List(99273951, 81991927),List(36562078, 88995544),List(99390387, 22321449),List(67272364, 98803620),List(64172740, 40109277),List(90521969, 62649636),List(30080079, 3689432),List(24970852, 52929203),List(90041525, 78394880),List(88143932, 46971966),List(46727212, 1198547),List(62908506, 12248637),List(29572822, 25588861),List(66069942, 82149726),List(56636913, 60546810),List(7206782, 60475774),List(3753795, 39834435),List(30752560, 46375627),List(31556106, 34574334),List(32618506, 58820521),List(83240107, 22084839),List(8211051, 50457244),List(63807311, 31655294),List(65434574, 69588549),List(92101794, 93217363),List(54112389, 46867264),List(18461884, 71825807),List(64701669, 52673680),List(90088804, 95914565),List(46340839, 29706609),List(43512025, 53393327),List(15771186, 84671771),List(66019808, 27539554),List(94179818, 92732),List(18124394, 39102326),List(12000101, 79056810),List(37567401, 68512752),List(23224373, 84767746),List(27781768, 79240419),List(16059604, 25614990),List(8234849, 24203381),List(8036462, 40702980),List(33931058, 56809219),List(78488130, 76879793),List(36151808, 42974990),List(74294664, 48362437),List(75491171, 32587077),List(58048149, 29659286),List(31731378, 50909643),List(3945838, 78366357),List(84160879, 5068391),List(21316555, 87558835),List(53543401, 48359318),List(45738672, 87355295),List(70015330, 74375838),List(19347477, 23602041),List(31327466, 46031425),List(86957759, 63130721),List(36592963, 56408701),List(38937773, 80033683),List(53127897, 47675470),List(41710036, 4022104),List(77742388, 97696913),List(78805443, 73554271),List(23489513, 30560013),List(41151050, 14144399),List(84213464, 88734806),List(39474558, 90079299),List(73522730, 19647021),List(25695240, 57216868),List(2763617, 61428798),List(27453203, 28011128),List(42051814, 52939106),List(53475643, 43768033),List(13411660, 45266272),List(4995581, 6008397),List(66589864, 92232488),List(46208384, 8787194),List(78598121, 10196940),List(69920323, 99059674),List(755565, 94980387),List(61855033, 71839953),List(42192507, 69142468),List(76912266, 20105368),List(54551495, 7880283),List(69766159, 85696793),List(72573636, 28190760),List(59212173, 47319386),List(9463880, 75034736),List(46100783, 59577151),List(31424674, 8215309),List(56393183, 35765677),List(25406405, 71613118),List(40683167, 28377160),List(59275722, 46249160),List(74357568, 86047677),List(66561373, 4763246),List(82210335, 59047745),List(35057984, 98677052),List(64747853, 61382203),List(4643885, 8212841),List(81996160, 86862287),List(91739277, 4808674),List(19948610, 7369818),List(37440328, 49846529),List(23659172, 14642753),List(67903431, 79114343),List(86588372, 99520301),List(94254329, 74948402),List(36810969, 22281816),List(32514992, 3221656),List(59695448, 8760931),List(32985435, 83018011),List(2082109, 6035822),List(30305572, 3721850),List(19069831, 87786328),List(83797475, 62782860),List(95094355, 14821937),List(54094518, 89502299),List(25535628, 42972555),List(73025346, 63515716),List(14612177, 76725543),List(65574371, 25808535),List(48897581, 11050187),List(77709647, 1957366),List(7834225, 41585313),List(11658047, 2973223),List(76603347, 88324081),List(74609978, 63776222),List(44504291, 39676014),List(32483272, 61800202),List(8976840, 10286855),List(43053678, 92316529),List(65326061, 70258899),List(73864705, 22212059),List(2958671, 25579967),List(32577574, 21707379),List(93523894, 25597244),List(18241998, 85795149),List(53057635, 25229114),List(82238177, 2296018),List(33573639, 79853857),List(96955616, 48844292),List(8860377, 48230268),List(84671542, 15383931),List(86620168, 43618735),List(52390914, 55321069),List(33432438, 81191280),List(13066613, 29984436),List(787895, 12136674),List(74018733, 32708422),List(5832254, 65052255),List(52865474, 20396588),List(19194162, 7068132),List(5721744, 91667683),List(19113371, 42086713),List(48961479, 41092271),List(23943400, 40071960),List(65225671, 95544601),List(27507977, 72445618),List(70388817, 1657139),List(81135622, 45435400),List(37995011, 73766909),List(79872917, 6015813),List(12580922, 25561408),List(68615074, 40730157),List(62340423, 68360608),List(1139171, 82004289),List(55566865, 5585050),List(49942066, 58115880),List(55853639, 42956582),List(19462610, 3701536),List(10782658, 87516855),List(98689213, 84493235),List(33269507, 6949374),List(7421295, 42778364),List(29870173, 36870863),List(56347092, 39664612),List(9133694, 52970811),List(81510414, 76206433),List(5708065, 71754840),List(56475766, 89126573),List(37004626, 64541520),List(65636940, 87486413),List(49886707, 56146489),List(27011002, 80288568),List(5463373, 66990411),List(64636469, 43770768),List(84613831, 10560706),List(29371653, 91063494),List(62225506, 35199065),List(19615552, 57076346),List(24546381, 40238414),List(94725768, 8539390),List(79368583, 99576421),List(96796737, 67912229),List(75917091, 9106994),List(47772348, 24803122),List(34335307, 30326639),List(50890117, 56495757),List(5162887, 69284071),List(80383614, 37569328),List(27823353, 79847433),List(68074343, 49039800),List(11181564, 51232306),List(28636877, 21546133),List(26659537, 22902520),List(68682160, 181170),List(29938463, 96905713),List(69573898, 23446261),List(42379564, 14099419),List(24193361, 53223808),List(60687852, 47087330),List(50303448, 44660038),List(20329279, 50620319),List(85333087, 2744033),List(75230162, 89653590),List(99476236, 87780085),List(43076929, 66833885),List(46167963, 81250662),List(85082934, 53891883),List(22794226, 6379099),List(45499346, 8870159),List(1284917, 11245345),List(71414232, 26921866),List(1154502, 67691501),List(79788413, 42279153),List(68455451, 21066105),List(541329, 21350001),List(77564807, 53461376),List(19564597, 53511331),List(22136854, 19764864),List(24813242, 61433806),List(15552246, 63753219),List(29403124, 11895492),List(71624988, 78899286),List(83224618, 34233188),List(73994437, 71231303),List(77112441, 23330482),List(52221900, 63379011),List(5362281, 12324860),List(39982423, 83226120),List(93568055, 89075345),List(55031841, 71869461),List(33346945, 34792891),List(90181445, 41725048),List(5952862, 8303279),List(27087119, 53759820),List(33248821, 82772388),List(14234956, 49404159),List(69503175, 57719022),List(38925166, 41699367),List(62119054, 35157077),List(65223653, 68779644),List(77264343, 36939486),List(90982181, 84212704),List(49921988, 12843844),List(74875000, 37062364),List(51088626, 77345145),List(29354710, 61918793),List(69687604, 97615200),List(60032148, 88038859),List(75081625, 25976259),List(48601578, 24101386),List(41495543, 35793277),List(82084864, 12082275),List(29590008, 51595719),List(18292999, 19240056),List(24522672, 95785896),List(24700297, 39218136),List(94468189, 25648273),List(24291622, 87931903),List(25411846, 79285672),List(84408664, 9127820),List(45366592, 74829985),List(61174097, 30648582),List(42364984, 55920779),List(8586993, 59393314),List(10633458, 98663281),List(11284655, 92401733),List(51328919, 19242404),List(90514664, 71681643),List(10570674, 25739086),List(70556462, 84150594),List(41222652, 25059308),List(76041160, 7678870),List(67161525, 67907116),List(43906394, 36534599),List(75324611, 29443425),List(42609759, 36989630),List(98870468, 11152491),List(9332888, 80705086),List(76484936, 75160670),List(82775786, 47038570),List(20993448, 72755014),List(5963435, 96675576),List(97067581, 36109027),List(74392814, 52002279),List(15775874, 57934344),List(17462996, 69293163),List(21271301, 72489885),List(56330862, 69859394),List(71146855, 5194937),List(80184903, 84694175),List(53180823, 47482638),List(34714323, 22979478),List(23175704, 99396185),List(5349820, 12201820),List(43359454, 34606238),List(36104221, 19346366),List(68624494, 51396566),List(16608215, 40700896),List(68809391, 66041833),List(86747000, 82421210),List(56661734, 82549591),List(52163522, 6919102),List(52942502, 555036),List(3681306, 5226898),List(78602213, 47348697),List(6912888, 9419124),List(55483995, 29531717),List(64771054, 46224796),List(47595950, 30641352),List(14669609, 95572047),List(69888974, 92563942),List(46587623, 50304018),List(73276119, 37282518),List(47787308, 43352365),List(95927221, 41952486),List(60897818, 41083336),List(3411985, 88090968),List(17720925, 75285676),List(74178100, 13848098),List(16956005, 93719809),List(17546856, 27751029),List(30155916, 5655254),List(987851, 3707118),List(12584462, 13000299),List(73276066, 2833534),List(2877209, 38910088),List(65580423, 67515631),List(74692649, 18570217),List(20717361, 72782034),List(77788085, 20263325),List(6893995, 6263185),List(81065596, 60670886),List(61950642, 73591190),List(99772933, 19016979),List(72326792, 42787409),List(80659453, 64781153),List(43618764, 28498030),List(81733752, 46484843),List(51813626, 41482000),List(56781849, 67104502),List(86229395, 77292016),List(71654531, 27504202),List(49283365, 43677254),List(48793801, 71776128),List(86495245, 54336865),List(9230803, 84646201),List(95162519, 25193049),List(33948182, 75890660),List(10309569, 13630191),List(29674779, 10630625),List(99425968, 33418334),List(62154328, 55224168),List(65928720, 23031079),List(84354234, 13503430),List(78821255, 46758557),List(9705871, 14541286),List(23918547, 71652534),List(65806017, 2624567),List(4140368, 51676311),List(20187735, 19358902),List(44716852, 25576859),List(87449643, 32180057),List(23654921, 36704689),List(85289633, 28671655),List(59826154, 86441129),List(90401550, 72507725),List(93766544, 81381700),List(69718632, 17676723),List(88601389, 60549753),List(2264965, 96612303),List(65097294, 62188678),List(47539645, 70867484),List(85756094, 58981456),List(43176222, 85441788),List(24105399, 10912981),List(92278399, 57073538),List(47816789, 16521250),List(21712613, 7390642),List(42600363, 9725665),List(5199428, 36979023),List(55198448, 11766975),List(5346796, 2130629),List(73326851, 48465714),List(95632256, 32534848),List(89207996, 50613619),List(82372506, 51442238),List(58739456, 54827957),List(44941305, 5609229),List(48780620, 62806776),List(4460126, 72202217),List(51280423, 5268084),List(88582157, 79097915),List(6595214, 83400774),List(58277237, 29884271),List(12831492, 28541145),List(17532942, 34813550),List(58456128, 75768097),List(84342863, 736694),List(53697627, 62473705),List(7102504, 1936647),List(85886780, 91206562),List(99819938, 67315227),List(50485413, 63834995),List(91693408, 33733454),List(98859402, 18630734),List(25931837, 57284257),List(58659002, 78919086),List(6013098, 77752021),List(80659299, 92553380),List(96562008, 40565274),List(62833281, 35956173),List(33463277, 81422691),List(53090103, 23572631),List(1842402, 20239127),List(17533656, 40632279),List(8837252, 9352648),List(6637778, 11278503),List(91628633, 18337334),List(18123936, 60763773),List(81872720, 68272232),List(21042684, 87757237),List(17720353, 97810599),List(49187357, 99263995),List(47441307, 30487811),List(48682403, 16133491),List(50959281, 10983657),List(1414121, 100242),List(57543930, 50258829),List(80281109, 66648590),List(20727989, 58904257),List(15051977, 61120475),List(44626524, 6310480),List(766780, 51194935),List(10421896, 57063647),List(75670734, 14568556),List(72208416, 27804104),List(20494084, 85746440),List(16977684, 54776729),List(97215430, 94850623),List(52429355, 47107981),List(37460858, 33850933),List(40103530, 10824652),List(75899368, 50458948),List(18476895, 62370850),List(36319189, 69522572),List(62243898, 76125382),List(81709115, 34803351),List(12026728, 41947425),List(72343965, 80203150),List(80530998, 95055801),List(34843561, 71194933),List(89639909, 86128816),List(66384572, 38985153),List(35654669, 96309381),List(82015128, 4097994),List(93536369, 34952329),List(21917745, 32116358),List(73215610, 53035589),List(64521544, 86657582),List(75890726, 32554418),List(21627186, 90288674),List(24986220, 77459986),List(49617811, 76494613),List(905224, 35250797),List(84389470, 93736144),List(85887164, 8281445),List(26374018, 21584329),List(48882850, 34380804),List(4018474, 43214899),List(21981798, 89619871),List(73992734, 35081331),List(18321416, 19516226),List(83810260, 58045050),List(30251548, 87283463),List(23877464, 88364275),List(44735494, 44059922),List(33974136, 40467713),List(2025518, 43506007),List(7999943, 62496439),List(96520363, 59762127),List(77054571, 12191255),List(40436441, 89572193),List(65373555, 95346545),List(36113589, 11022030),List(70370524, 80304956),List(18799274, 73243159),List(9886652, 13543863),List(16286675, 21112639),List(94228611, 70271764),List(42062363, 63866414),List(219790, 67841226),List(90586091, 79978219),List(50941875, 9811742),List(57670906, 64831901),List(49167556, 33426787),List(60450766, 51681248),List(65326679, 46350980),List(37154874, 45389376),List(23322327, 62277472),List(50413012, 36880625),List(68688995, 20488503),List(36785847, 37562850),List(62599790, 358669),List(65637368, 7142987),List(81146644, 37513264),List(52511849, 24978982),List(31660680, 82660961),List(99557583, 39474802),List(15894229, 93436885),List(63292331, 64784294),List(22567647, 69414662),List(75376487, 23499262),List(11384932, 92799597),List(99535273, 25387584),List(71344074, 33876461),List(29390499, 61675581),List(47158724, 90639069),List(50763820, 77814174),List(49163834, 38143978),List(14531561, 76543187),List(78196073, 92521602),List(82677775, 15456367),List(79733534, 20271457),List(99564017, 46043703),List(33029571, 22790543),List(24814392, 92845387),List(38791514, 13770077),List(3173245, 13739376),List(50793911, 35561650),List(10952111, 32934131),List(60374473, 156756),List(97847891, 54744390),List(52550275, 24193379),List(72002801, 25679385),List(23343463, 18489091),List(40678143, 15249796),List(53321587, 93107748),List(32823199, 6997753),List(65686103, 91122374),List(60652378, 40789962),List(14692048, 34259755),List(85062688, 96545834),List(8301497, 81497773),List(72392561, 29576534),List(33577840, 49476436),List(96667558, 45646386),List(88973863, 98441424),List(79769850, 72016027),List(24040247, 14072252),List(33007435, 5874260),List(62417080, 71551600),List(28210647, 94961561),List(17617151, 45820971),List(22668032, 74554489),List(60165162, 1929854),List(43187071, 20846219),List(88851618, 73187395),List(97261372, 67574675),List(31482917, 94724582),List(50168809, 94165390),List(74967862, 6860863),List(42436276, 71452268),List(25427420, 8083695),List(18584582, 56789253),List(10001985, 97102243),List(97167377, 98083713),List(45744448, 54430024),List(11037612, 56690130),List(80716814, 45910584),List(43663324, 86319579),List(88108355, 11849960),List(48457786, 67627152),List(29734845, 79765060),List(54204784, 78403023),List(60167191, 72653504),List(36578275, 56675851),List(61236106, 38612168),List(20166273, 46242134),List(86915999, 56384212),List(13104203, 33484932),List(37102041, 48409738),List(41089739, 84040496),List(30645769, 40837308),List(80247612, 26782380),List(79584917, 76318520),List(4145538, 64566083),List(56024057, 96525222),List(76688356, 52663975),List(8317880, 88709782),List(97242223, 27479093),List(78290466, 96393567),List(98046896, 2861654),List(26089551, 7754574),List(42009590, 55632111),List(94386273, 81610274),List(68093167, 73610193),List(70981980, 96739644),List(56014975, 7614127),List(45342190, 55891900),List(65847383, 24661547),List(46650976, 24961850),List(31306454, 47615627),List(48312222, 18305124),List(15929344, 9777925),List(82777399, 92304793),List(66852549, 96671750),List(44341590, 77996279),List(74388546, 55814503),List(37640313, 44634636),List(33454199, 5403341),List(12964239, 83462716),List(46236627, 50161855),List(32917778, 44845643),List(8191451, 43529334),List(31959275, 52347352),List(7025441, 89317327),List(35704654, 69500900),List(1661697, 60135365),List(12724763, 64051692),List(43603048, 36632663),List(94609374, 67411359),List(91327209, 6240400),List(33815954, 61795045),List(46375455, 70042026),List(89169945, 8876753),List(97174843, 16359367),List(35889150, 79928687),List(23938270, 50471960),List(62293934, 31767661),List(39340346, 93512141),List(91929135, 69869467),List(47061224, 66055764),List(25362363, 90889654),List(69136934, 14904528),List(27537654, 25804686),List(30321104, 6494484),List(28042647, 29216227),List(89522630, 51336126),List(15056713, 18212946),List(99224116, 63412679),List(9139418, 90200683),List(12896469, 22646501),List(68247045, 27425584),List(19813335, 74285294),List(59171837, 37632278),List(10465825, 28681294),List(76491346, 59595540),List(1461141, 67295708),List(17622591, 66948761),List(76872665, 72449662),List(44120585, 23060511),List(6941327, 76642249),List(15738602, 68760375),List(31267873, 7295143),List(50017990, 74766555),List(97189507, 94625397),List(80232507, 75667696),List(28195403, 43335656),List(16731651, 19032198),List(70795394, 18700683),List(15061044, 13701282),List(38665281, 17082205),List(25794389, 42580281),List(78936928, 99224051),List(43634487, 11474371),List(4906703, 69700858),List(72900555, 97403227),List(45388556, 41179963),List(56454162, 26309062),List(48156111, 6869034),List(87237994, 10403316),List(12097864, 87695117),List(17301479, 81124230),List(82935565, 30949476),List(42084505, 5127660),List(38222155, 93087430),List(72430539, 50763403),List(41026657, 30829276),List(83550107, 79350681),List(26980588, 64218258),List(3056115, 55462330),List(57470426, 2030133),List(25704582, 94563005),List(23557211, 16321514),List(93855389, 69600358),List(7451650, 31030613),List(3605731, 57749785),List(95383891, 45579807),List(31290474, 13839404),List(79718694, 20718924),List(46381039, 46120744),List(28281618, 75992920),List(64239896, 22966125),List(77440527, 79703576),List(15587390, 56946248),List(33793528, 92453721),List(12798406, 30191842),List(67980045, 89601377),List(26171511, 49808907),List(648314, 92980569),List(85853157, 70273154),List(84538757, 45290535),List(43504969, 82899706),List(92469399, 50017574),List(91070082, 68612103),List(54712339, 74495915),List(94198543, 49366618),List(99133816, 53853189),List(80581571, 69191290),List(72373835, 71902964),List(95929974, 19856032),List(16673075, 76355757),List(40857371, 34120508),List(68175126, 7312205),List(84975714, 15927291),List(61233688, 98926214),List(19654248, 49874402),List(75249649, 28297651),List(59391869, 24181065),List(88509762, 14070623),List(57585883, 62018692),List(55771383, 12149110),List(44799687, 57960807),List(37005310, 58392124),List(50894043, 10026975),List(77473269, 68603612),List(91908637, 44268774),List(3409853, 62000383),List(6443921, 76012136),List(87150984, 59807773),List(71319715, 96983014),List(48336403, 45897273),List(97214288, 43053505),List(61293920, 88669268),List(52983726, 35656417),List(74324878, 69044074),List(79115052, 64146211),List(87864227, 67992191),List(53060965, 27033503),List(57656361, 94430964),List(23634037, 43119697),List(33079517, 28714757),List(37517850, 53170629),List(98611364, 59665744),List(19703812, 88431745),List(10363618, 61209152),List(91489687, 51892961),List(72834028, 21867781),List(84015821, 83607757),List(45018545, 2092461),List(13423559, 10591608),List(80013932, 19565825),List(88965040, 27157192),List(13363239, 66238779),List(78686998, 77702447),List(23686375, 34206815),List(81236157, 14545522),List(14733424, 50605555),List(14686411, 63701763),List(89684369, 1226255),List(81320468, 56855595),List(56871589, 78543993),List(32672455, 78214246),List(98038108, 32692999),List(10086662, 84906167),List(25018015, 3091629),List(92757999, 81484909),List(39416348, 2113737),List(15020106, 31425195),List(87274804, 30358078),List(55192219, 11229673),List(63528099, 99170048),List(93303503, 29906568),List(13779426, 86155338),List(3025766, 79954366),List(70053387, 90208508),List(31153218, 52794652),List(55364289, 65953605),List(73379383, 74579316),List(98432945, 59065881),List(58135742, 3203973),List(31117326, 41102610),List(61245400, 57972433),List(91088496, 37334964),List(82511061, 20426498),List(12115156, 19926542),List(10059206, 19139648),List(52582243, 3028102),List(12659278, 13048585),List(15457695, 97602652),List(25210476, 86196674),List(94406944, 88170042),List(25872370, 25147336),List(69402812, 44120771),List(47580689, 77073735),List(70837884, 35185777),List(59733483, 13783175),List(69130206, 76956637),List(1906759, 91901825),List(55066896, 41128693),List(29348910, 32602590),List(29020104, 71074353),List(44790848, 52935237),List(90713965, 47157526),List(57019721, 60179341),List(8708479, 76992761),List(77744515, 13097694),List(40756477, 24920209),List(83155098, 55127415),List(41210018, 48875819),List(52013028, 50247215),List(49764099, 34838268),List(42516754, 30156349),List(81200536, 94187751),List(17646330, 84846207),List(8591388, 89530940),List(14278782, 71337089),List(41951659, 25109250),List(77212965, 45285688),List(59632353, 54782726),List(52051589, 98248163),List(48845181, 37241432),List(786639, 42891899),List(6145334, 20901123),List(84236460, 41454089),List(29366102, 31972477),List(30834300, 79481516),List(43478562, 83869699),List(93873484, 37064970),List(32893685, 25792696),List(53467770, 3551337),List(57126422, 70747432),List(64653022, 43225933),List(46907801, 56757520),List(23442860, 20249411),List(30135763, 5985537),List(37358948, 33324908),List(70824898, 51216118),List(75984048, 53881868),List(61836865, 32568472),List(32426641, 87700254),List(84513250, 77447496),List(5631569, 26951826),List(36736221, 95224928),List(5395779, 71560718),List(96228293, 16594669),List(91182628, 55201699),List(15979394, 20598874),List(26711565, 70868706),List(2924870, 10513172),List(27947265, 30552885),List(77638004, 65022787),List(1302478, 21049285),List(75788238, 16633442),List(15921131, 22587826),List(78865179, 2397607),List(96210150, 63926796),List(54679388, 72803625),List(37285129, 19296305),List(7968166, 89449521),List(72983792, 10897033),List(39222033, 71282023),List(22016204, 40171261),List(65705417, 7281411),List(5417816, 69903405),List(87854583, 60039774),List(1961543, 53734098),List(10147129, 11038867),List(64097933, 20679395),List(50175555, 56590908),List(48807273, 92384375),List(51268253, 18176853),List(61361653, 49664160),List(34636835, 42149502),List(11471357, 41608440),List(99625515, 57186045),List(73067767, 10667598),List(50047494, 77758694),List(89294842, 28024532),List(49829784, 86556901),List(54993757, 85824121),List(79146003, 80509017),List(23561026, 49003659),List(6475127, 56489011),List(84789451, 33709889),List(62919202, 15248339),List(83524106, 90289694),List(39538627, 92289026),List(91105957, 75645425),List(27092709, 96066348),List(34841684, 86941903),List(60574023, 53301881),List(50564737, 30543040),List(15742731, 15646645),List(95272723, 80436644),List(70738222, 17411422),List(47540234, 54201748),List(76851590, 16910604),List(31710509, 68907209),List(44364710, 24563238),List(14278286, 90287966),List(77462308, 72709466),List(72011427, 59990842),List(66320239, 48439065),List(40914637, 89797004),List(87321108, 23415437),List(5823762, 79534529),List(69014693, 42259917),List(19722443, 60712724),List(80886772, 61352256),List(90256205, 71037532),List(21746972, 46827404),List(57370565, 9615379),List(19207191, 97007606),List(12705717, 3336238),List(84749022, 63614359),List(36798318, 17678057),List(72722613, 70889722),List(90020088, 77899456),List(94892920, 56073789),List(29326806, 90410154),List(60948125, 36643248),List(24746116, 89971903),List(88077549, 33232082),List(28573682, 75989353),List(12339154, 5723326),List(6794609, 6966213),List(87696337, 20122264),List(22698028, 91896117),List(33672324, 3729631),List(12413770, 21809582),List(21033385, 67624375),List(48699054, 81180679),List(94134936, 59425927),List(22497499, 8854990),List(9380873, 804426),List(82422134, 67215511),List(46442988, 25116887),List(13789297, 53472372),List(84007290, 48703641),List(14927958, 88259018),List(46932010, 69904924),List(16262205, 61423026),List(99807645, 50618284),List(36219019, 13013929),List(20517822, 33853036),List(27176301, 18901853),List(98661695, 85261234),List(27249834, 90353253),List(93891599, 52731578),List(33672174, 9311332),List(2661074, 8115665),List(27611689, 32496520),List(13324954, 24537311),List(78823828, 81575575),List(88465827, 22922421),List(91299542, 22735818),List(91747741, 58851664),List(28743916, 33412403),List(51178148, 50557813),List(16502057, 18002434),List(42254431, 40841588),List(41708948, 55788629),List(57737557, 9590727),List(15509452, 59433585),List(25094424, 46278234),List(1608758, 66098019),List(16570038, 85947633),List(14833980, 78351525),List(33658305, 65520432),List(70568979, 59914158),List(50859686, 51452781),List(20908053, 9811835),List(38543270, 50956989),List(31213679, 43563956),List(18693067, 30515675),List(21065388, 9410742),List(7027843, 3289777),List(67799938, 57990141),List(13543718, 49977778),List(39762102, 30117355),List(1695506, 40985004),List(61239997, 98057995),List(2409537, 69282804),List(5653153, 40566623),List(43559579, 98145494),List(55657435, 86668253),List(21367724, 70047532),List(87963189, 11055727),List(99246467, 55622041),List(1996314, 56270004),List(38776177, 45500808),List(90510261, 73821374),List(86241269, 4074548),List(57820812, 26505326),List(74897042, 95703132),List(48590820, 82630986),List(26089325, 78313668),List(62800746, 57644337),List(96978180, 10668878),List(82201270, 55713930),List(48867899, 13781486),List(56601592, 51819318),List(30072684, 84780181),List(17154176, 56027623),List(21517080, 85386856),List(24734316, 89197617),List(96325556, 34963195),List(35211881, 35609615),List(46374707, 37310799),List(23021808, 39080850),List(82927863, 11585436),List(98134234, 84746247),List(83837449, 61697390),List(46076497, 11499183),List(82138933, 85035373),List(65998329, 93219160),List(20148369, 97248586),List(52281774, 37783068),List(42740045, 68059315),List(40607419, 45607853),List(95693114, 83760836),List(15462363, 75955170),List(5671126, 77004171),List(60716789, 2657799),List(70290245, 47440331),List(60534288, 63952559),List(8951817, 89714282),List(11816483, 22751350),List(71340491, 11506248),List(1792745, 4190460),List(80017225, 25586625),List(85876377, 54401624),List(57119374, 55705175),List(90789938, 2524848),List(89406011, 66220901),List(54470127, 70749873),List(13612496, 485573),List(29552845, 26567981),List(44489170, 38141750),List(97486762, 41165613),List(40537812, 73309446),List(93778785, 87186539),List(94509670, 7371387),List(76060052, 67102268),List(61778320, 60706568),List(49849518, 87586937),List(66374950, 62438307),List(6544264, 73551704),List(38203144, 98220414),List(69474944, 58381031),List(56873393, 52645855),List(51740990, 6524579),List(30726076, 78882651),List(36872040, 90632661),List(85745765, 2217688),List(62972929, 77279675),List(97502529, 5995784),List(57425744, 18792500),List(28078044, 59328058),List(73217669, 24320364),List(78440000, 50211476),List(87905848, 63170303),List(37044751, 15726050),List(25499064, 23963585),List(23211800, 97205702),List(1948479, 71292323),List(96566888, 90411238),List(96178419, 15305776),List(9303822, 73749136),List(76756668, 97738919),List(58729924, 39686727),List(58587176, 97854328),List(28013645, 74268423),List(50191618, 2359689),List(97198091, 98773309),List(11477822, 85507651),List(54877243, 49921410),List(70778416, 46827566),List(77577533, 44467374),List(53184903, 76289161),List(25863706, 80615151),List(35050892, 64404276),List(52911896, 67379694),List(31243880, 61345593),List(43616443, 72484571),List(46610310, 97914996),List(87752215, 17317852),List(64615990, 30089208),List(35177523, 97840369),List(70220480, 75941012),List(26170279, 40980520),List(21254897, 77547717),List(72719927, 45595246),List(33482465, 84016607),List(57824885, 45945318),List(12743051, 56552526),List(21196195, 51839114),List(8260151, 55675924),List(16134592, 62919543),List(70251666, 28247349),List(69018365, 45581309),List(81745164, 58193932),List(72132690, 66483925),List(29326164, 58931358),List(43725282, 51483479),List(92766456, 20783123),List(65603942, 90338891),List(90736656, 45074025),List(55493219, 28692606),List(61011480, 96963172),List(44484343, 26914731),List(51454657, 38187839),List(84852169, 99638895),List(27692470, 87852407),List(54547546, 17882465),List(72494457, 71434327),List(96053149, 32191827),List(73182999, 27193550),List(15976375, 46754580),List(58716176, 68351254),List(38726547, 62951997),List(14594773, 72040726),List(30975539, 91586187),List(73647182, 14995650),List(66740388, 99615751),List(33929648, 55374518),List(95426767, 42269772),List(6158716, 83183964),List(26283116, 71115014),List(31555748, 25321138),List(6016849, 79359500),List(85128214, 12798376),List(70398773, 91930966),List(99477214, 56414920),List(56749983, 82521791),List(26392529, 41122934),List(35557927, 55530267),List(92746321, 22735176),List(15007000, 15548339),List(18985791, 80377574),List(85427394, 56966503),List(93530551, 54982200),List(46709669, 27887893),List(60003574, 46334949),List(7579031, 43687978),List(76362705, 1688300),List(76442770, 32873416),List(25687614, 57462169),List(4611801, 87245726),List(94737129, 57525772),List(63438236, 85897638),List(75763363, 69990354),List(62200585, 3733837),List(27598323, 81115567),List(38903737, 93622424),List(95056011, 11273085),List(37782182, 85981553),List(87908010, 52346327),List(72802180, 18290440),List(88143784, 84177062),List(11914852, 78243384),List(77521285, 47078445),List(81324911, 3365287),List(25432816, 81816553),List(57630591, 94323183),List(66668790, 57498164),List(28541583, 59187596),List(67434683, 29690880),List(61539409, 75759559),List(74511289, 79618112),List(66137339, 79737653),List(82314686, 45620636),List(86002238, 89103799),List(47494449, 29089839),List(82303745, 65202673),List(36057400, 10470946),List(30603885, 42130560),List(56182803, 75077512),List(89886499, 89861794),List(53270518, 56082645),List(71889310, 76295531),List(45718148, 4260671),List(66213451, 28391860),List(3941261, 20761977),List(65416581, 33215940),List(76963157, 23255611),List(3318156, 25100138),List(16585389, 86046287),List(38127935, 44836070),List(93384881, 40297459),List(41918180, 91640212),List(65707309, 80462103),List(63291595, 71311381),List(98599475, 94624404),List(45067890, 34362978),List(31162526, 26845969),List(82042942, 40502182),List(24035094, 44754263),List(46900539, 4042888),List(54861862, 61991143),List(21986836, 88673293),List(73412811, 6273025),List(94373587, 37457266),List(25470246, 23548692),List(90645230, 41848166),List(49625640, 88111584),List(71561389, 86498909),List(99896138, 93865307),List(44076059, 77575642),List(5846323, 53742377),List(54636460, 19165674),List(198501, 9421144),List(59782254, 83999882),List(45343947, 84924016),List(16325938, 25864740),List(72869291, 41099717),List(63716607, 92414744),List(26804778, 90217332),List(99211041, 12632961),List(30504609, 92513181),List(787093, 25748221),List(32542497, 77427671),List(74659482, 12316811),List(52672559, 73596145),List(59232225, 26169145),List(52141439, 2267006),List(54662454, 32390658),List(94355081, 25709388),List(83409657, 92596624),List(33820118, 24932128),List(73110707, 5534601),List(48443557, 42601892),List(98832133, 87415318),List(30672857, 20157695),List(40448989, 72443556),List(84907660, 35576785),List(98634325, 17830565),List(89610865, 83361004),List(37727189, 51640554),List(571551, 50245306),List(68997886, 70095497),List(26087110, 73132188),List(92857400, 4781903),List(75730571, 47351779),List(75969843, 87464219),List(35426925, 47582498),List(88804774, 74350692),List(23132702, 81148682),List(42014199, 40849707),List(68034558, 69338921),List(48097000, 13666282),List(23543985, 10076034),List(48810278, 10834407),List(36747283, 82051870),List(69099353, 15259822),List(22426735, 50197695),List(6464772, 66453701),List(25796709, 18195616),List(84701252, 32582967),List(50548077, 32278980),List(47707295, 1748969),List(99719988, 86715042),List(29705198, 5203534),List(78242089, 55421727),List(96967005, 18737786),List(44777183, 75546493),List(72369912, 47283250),List(69833407, 14124678),List(77398567, 12662545),List(73996085, 55454482),List(39345777, 84284536),List(49184927, 93246528),List(63907712, 98967839),List(1893259, 31378010),List(82068848, 19970994),List(99378288, 33193247),List(10374646, 62860859),List(92887570, 37151760),List(24512234, 86928512),List(82806318, 37018546),List(80744142, 96001385),List(1178719, 61131312),List(4475101, 13976470),List(8541790, 83133819),List(84222924, 67467033),List(31264349, 55260448),List(26703069, 28808983),List(1528759, 26881015),List(97533099, 69366524),List(95908150, 6268875),List(7508622, 56497594),List(55198281, 81700411),List(34348290, 9557990),List(83247159, 85012265),List(12507552, 58260001),List(71013804, 92777450),List(39953602, 45939905),List(40264122, 7491911),List(43165111, 36779674),List(61394900, 37748386),List(46394431, 95688627),List(3347515, 71614047),List(28998992, 43952369),List(71857170, 53258770),List(15203517, 40022925),List(71305759, 4052725),List(53971974, 81304756),List(29115938, 36893877),List(55069019, 92609554),List(97088501, 53251952),List(53454304, 94711604),List(89979075, 25612646),List(44538849, 34407383),List(85352847, 38035045),List(3615497, 57527607),List(88293067, 62363391),List(97278090, 18068043),List(88781966, 99859916),List(44024533, 70023140),List(88660241, 8658946),List(19165582, 70037604),List(60091030, 99404423),List(41395036, 87817530),List(62474888, 27458331),List(87176876, 85159679),List(27676879, 72288032),List(91032944, 88689324),List(977784, 30112953),List(87148314, 89268890),List(3175370, 97852144),List(9971812, 59181627),List(50985418, 59888102),List(13368579, 22987386),List(17753781, 57753221),List(47851675, 9916939),List(16277028, 133348),List(80910251, 77237149),List(16491617, 59026801),List(19832426, 83351681),List(29270711, 48809306),List(98918151, 25388623),List(49426750, 99725815),List(97816580, 95529340),List(76411812, 10985866),List(81365206, 49428028),List(32776010, 74321568),List(66750357, 39971825),List(56916271, 33218598),List(81766569, 98539928),List(42937795, 56887112),List(31807097, 66027854),List(55318267, 91665373),List(77641087, 91728427),List(81138299, 33451390),List(93991456, 70316345),List(86194612, 53626262),List(47311066, 59601730),List(28482611, 98432553),List(51669493, 93854872),List(87583010, 42541096),List(55982350, 16031713),List(21352637, 29824895),List(82408369, 88771134),List(32992558, 98449835),List(23226312, 67085350),List(24284370, 6456042),List(31605303, 81052574),List(78997269, 20002474),List(7469493, 91364036),List(45600973, 74547240),List(7627781, 10646720),List(97920919, 23593221),List(124297, 21870589),List(13689497, 24671701),List(27682913, 27361264),List(76006608, 10943261),List(71407359, 64529891),List(8818848, 18336518),List(93645522, 69953009),List(18762980, 22222602),List(46154832, 67521805),List(55195220, 70067065),List(50370241, 4719274),List(82856569, 65822249),List(19131640, 17297601),List(54787954, 34565977),List(67890403, 54664073),List(36595529, 44777937),List(97175658, 36539607),List(31727676, 55953667),List(29667729, 3475990),List(31531614, 33959047),List(94279240, 33809609),List(40125310, 18304053),List(51266130, 60161074),List(28413871, 56644635),List(11658908, 56858798),List(71895675, 61081633),List(75962752, 50501103),List(64194757, 74734837),List(52948216, 8971992),List(16334167, 70202123),List(24499814, 50990292),List(70962824, 3665359),List(57046706, 57891255),List(81031065, 15788045),List(10872240, 83066278),List(19579518, 64387836),List(43140524, 18656902),List(80174114, 72212184),List(52576303, 56096558),List(34260119, 88551112),List(49992032, 77013199),List(81233480, 54806511),List(75308907, 76214319),List(51923528, 89649555),List(58294822, 84163274),List(25253644, 72462957),List(37874680, 94748308),List(48210201, 33729866),List(21634748, 65442663),List(31380239, 75164417),List(46677955, 11818958),List(34126428, 69220156),List(23682860, 99937988),List(5787431, 21338724),List(90257004, 58475838),List(39920790, 48083489),List(71320518, 66072615),List(66497088, 26384608),List(65379720, 84171326),List(33211464, 45232928),List(79051050, 17558412),List(15566991, 71924944),List(53854949, 39389868),List(69924141, 8194576),List(80862173, 99230899),List(44971450, 97661911),List(36564271, 77353271),List(40909735, 17460060),List(69351139, 53681250),List(78847142, 24265339),List(23380555, 49881020),List(2410582, 19735408),List(59505982, 48630063),List(24911706, 80614965),List(66079610, 53682379),List(35182101, 3797829),List(8211705, 51074815),List(4967656, 14370848),List(63362237, 13882171),List(92970945, 94810225),List(21976172, 53323534),List(35047923, 20493779),List(6260754, 37684061),List(92472034, 77363515),List(99287396, 56540704),List(78765483, 45023436),List(73330624, 25542371),List(55735740, 62786060),List(96007585, 69283021),List(1838710, 89802992),List(92240753, 70612900),List(12892839, 77456250),List(20730861, 39098839),List(36278768, 82036482),List(83959003, 73909146),List(10159847, 16437244),List(34355791, 24144044),List(96891036, 49135841),List(464171, 93367547),List(61173544, 57089251),List(3858548, 83590861),List(10032298, 56920157),List(78340596, 18082918),List(39560228, 47855313),List(78285848, 34915551),List(54656527, 531253),List(36838590, 46792105),List(92070935, 68654275),List(11524910, 70040784),List(36173870, 51293083),List(21695411, 92930939),List(26142720, 49605528),List(29863711, 72547455),List(97110805, 23401456),List(67275851, 78184692),List(83775026, 36907975),List(10553347, 3037944),List(38008822, 18464150),List(24415074, 36499289),List(2193461, 5055453),List(94376134, 50837903),List(75333080, 8355467),List(1909490, 26550827),List(74885780, 78782609),List(39620127, 48876589),List(88447627, 20840908),List(10831616, 36594903),List(45638369, 76502806),List(95425621, 18819419),List(76523928, 96142458),List(34975012, 5213176),List(28949819, 94532083),List(80561973, 45254891),List(96629871, 33063885),List(93070157, 76093348),List(18390285, 52665634),List(43426445, 64167086),List(28342094, 67881634),List(41217082, 37376246),List(65388055, 81507533),List(86867531, 24768517),List(85147839, 14346803),List(8216460, 27940090),List(54115027, 40146657),List(30481122, 57514269),List(47890429, 38674079),List(43323980, 71450604),List(40655366, 91398048),List(108632, 18177067),List(75327211, 41723408),List(24090000, 67801858),List(78941038, 2534017),List(61500483, 68003168),List(75276960, 71921021),List(17752672, 86599767),List(16558825, 78312283),List(21935467, 53535286),List(24209492, 75940910),List(4736712, 57253133),List(78695587, 40944412),List(79240690, 36787588),List(12983247, 25597054),List(97803736, 82339452),List(56253935, 74832730),List(80628993, 72956204),List(2353799, 18867820),List(15579945, 44150290),List(33502152, 231947),List(56915574, 44875767),List(52779185, 26009328),List(78667124, 92599402),List(17838702, 61165114),List(8538644, 50943947),List(67252103, 88865239),List(23784064, 820582),List(65906050, 1041951),List(20880419, 78103226),List(48178517, 47947091),List(42255065, 66213193),List(29867280, 68774679),List(41355655, 79270695),List(66164190, 679800),List(47302196, 14654520),List(84617718, 86782547),List(52040408, 20845582),List(44090826, 61809877),List(68058688, 15933597),List(72502027, 9912653),List(95552881, 55622050),List(43622697, 58718107),List(11850995, 22465823),List(12390595, 52011639),List(72664816, 42137504),List(39113315, 4729324),List(2403012, 24791026),List(17162623, 51959395),List(27859206, 86168094),List(96859321, 1649391),List(46935701, 84608016),List(66547469, 48245299),List(3661278, 41104751),List(52539190, 64739281),List(50472794, 66932524),List(26579177, 90032786),List(19024144, 58363428),List(48134667, 74156198),List(16577223, 54744765),List(70107379, 54117779),List(95812191, 84949297),List(98129972, 56828014),List(83948369, 93691071),List(70902593, 29749877),List(27269368, 2783706),List(21633632, 20224466),List(72175693, 12766942),List(17225802, 81853062),List(11828346, 67973441),List(3720134, 29173804),List(77386994, 595999),List(6616119, 74870572),List(50471126, 19016099),List(91370060, 53341980),List(2946799, 64242531),List(53166809, 18610011),List(28450554, 20526205),List(16096022, 73653622),List(6865258, 99214152),List(19675286, 74127257),List(99644268, 85928769),List(58902890, 27061223),List(36885755, 62723140),List(57766036, 82448829),List(40258137, 4240944),List(58844010, 74436137),List(16072310, 46733977),List(53241467, 13976231),List(20802051, 57871273),List(98716668, 95611195),List(9561901, 12625079),List(96033241, 19343508),List(79627305, 69048822),List(57969485, 29841261),List(59038444, 17475635),List(74214514, 73116750),List(49378843, 12993966),List(14077920, 30344497),List(14107519, 41723782),List(90828648, 8160347),List(24878089, 80604375),List(20693079, 78713762),List(40523622, 66484612),List(68393676, 45622066),List(62062559, 27165971),List(78378985, 92889495),List(98134753, 25915125),List(66344801, 88584713),List(83937449, 21799668),List(84141125, 77267604),List(4751815, 73712578),List(63141439, 85007047),List(80436226, 57292330),List(43579998, 94904401),List(77719553, 91222752),List(38453958, 2182202),List(9749366, 28471212),List(64661863, 8342592),List(30007847, 49865742),List(84021860, 66924085),List(39082141, 79320679),List(33198683, 86859765),List(67301874, 43348311),List(64457990, 20514051),List(11511998, 95994086),List(11248598, 35909812),List(89816401, 96059798),List(77452945, 20177695),List(22403862, 82150928),List(41225007, 49453107),List(69475422, 26088567),List(30819587, 56086264),List(93273130, 92877436),List(3819669, 32934931),List(89292577, 23152007),List(42995945, 89575952),List(63666369, 13143358),List(28807458, 76352916),List(5219892, 19959783),List(42489643, 17231246),List(26830180, 15808781),List(61193634, 10773294),List(97821030, 45493948),List(65604234, 29968614),List(82127737, 51028239),List(64420519, 37527437),List(85550411, 40891563),List(50133134, 45316352),List(35487284, 31745977),List(51697303, 58832567),List(873694, 21138424),List(8843226, 68108779),List(95415807, 5525660),List(76207752, 40936842),List(48473290, 94055449),List(76235764, 13339979),List(56976865, 92858187),List(66120293, 28878553),List(14436332, 38783932),List(17759579, 89066590),List(36109496, 48226417),List(81387474, 39299280),List(78961137, 63999083),List(3970873, 24857254),List(93396330, 27281180),List(41115376, 49301062),List(2345249, 16985326),List(1798810, 52950002),List(35156944, 37504630),List(3049298, 27127561),List(79391932, 29472548),List(18872585, 90430949),List(21949911, 71886601),List(37256848, 17340757),List(10161981, 22616052),List(22759851, 79734616),List(82448059, 19967672),List(59749248, 94515395),List(885505, 31483304),List(21000332, 5714355),List(56628825, 57737204),List(61336481, 15636131),List(23998469, 20554527),List(50253612, 68656773),List(87980883, 47004507),List(71877306, 12988208),List(45889692, 18311394),List(80597623, 40803768),List(4034809, 39190597),List(68092312, 56446539),List(21605226, 42228934),List(17816120, 83868323),List(45169559, 99737699),List(3005855, 81744957),List(87159625, 64103758),List(34319005, 25694404),List(74242007, 36461791),List(29501128, 89949144),List(72113380, 23009272),List(30721828, 38599263),List(79386047, 202303),List(35244635, 83399467),List(54580163, 37414844),List(51527038, 17666928),List(53542105, 40484207),List(45809205, 69471576),List(49330282, 72061545),List(42640492, 39426437),List(93754496, 82171566),List(6085835, 35943047),List(5700016, 10740497),List(13576119, 11777109),List(51513141, 46063237),List(97411878, 64092169),List(33941081, 39114163),List(20899259, 53409991),List(53413534, 87132796),List(43703923, 73276850),List(13669247, 68760872),List(50946470, 28044981),List(90398516, 64163257),List(41967032, 29466287),List(49665958, 9217408),List(22617859, 84481860),List(57661093, 98993672),List(99928110, 69404345),List(1202287, 63158621),List(19854492, 82886098),List(75616152, 48065166),List(67805637, 98250888),List(91159867, 6598148),List(67797088, 18026381),List(34649259, 76793171),List(85134818, 94976011),List(97906755, 57950102),List(73160133, 17058647),List(5423946, 45935433),List(96522668, 82432100),List(62507959, 50322372),List(4646639, 69260405),List(33688669, 44296900),List(47296852, 58621051),List(19076957, 88336687),List(25681055, 91537258),List(97610428, 49380196),List(84681687, 68757741),List(61050967, 37382609),List(49842261, 67934469),List(22260109, 37591384),List(35157325, 33309029),List(93186119, 56552069),List(21177604, 85984041),List(45025452, 38681239),List(63219288, 94117134),List(47440824, 60911249),List(60983744, 82358495),List(89111022, 32740893),List(27807227, 39225570),List(97943583, 62802968),List(90865771, 20728055),List(29635690, 5524903),List(46411801, 28158696),List(13480666, 15854870),List(25952669, 9204735),List(63148486, 2565380),List(6987643, 19465235),List(4528992, 76559763),List(64422053, 45889097),List(98484028, 94185928),List(28685845, 88492420),List(20635260, 71328022),List(45606425, 51621085),List(82782499, 60529416),List(16925065, 18587783),List(13033443, 22907770),List(71702356, 23793582),List(10448689, 26423274),List(58216093, 95828807),List(662057, 1981573),List(88145839, 52372097),List(14142937, 79728019),List(52010727, 19126603),List(2183958, 92741386),List(88754485, 10560098),List(62594528, 4848895),List(33157665, 42729618),List(80454267, 25318545),List(63558050, 35376217),List(98608258, 91416589),List(29553564, 31512399),List(19712872, 90971890),List(87156835, 11282184),List(58366656, 26157906),List(75880833, 24620536),List(36631178, 95885636),List(78461258, 95315410),List(67193749, 74935236),List(10720986, 77348247),List(70232926, 28887353),List(28592429, 74365136),List(10751666, 97898636),List(94139047, 9628678),List(26081377, 25712795),List(77128620, 89372737),List(49845006, 58179086),List(64912411, 99844755),List(8706338, 30225575),List(66868589, 75694488),List(92084309, 28439284),List(37182823, 42581494),List(40116160, 41103958),List(63677639, 2274892),List(77858824, 67229051),List(33100070, 29771131),List(48935846, 41481369),List(97820073, 16740173),List(13519023, 17251216),List(78886656, 24662910),List(76591327, 10302841),List(25679340, 96404389),List(35731856, 22338272),List(9780407, 75131965),List(55246713, 45800056),List(38771277, 98716686),List(94627688, 63327352),List(23366262, 14148700),List(40681112, 79848990),List(88457868, 16364230),List(70479235, 63602643),List(53008250, 31533301),List(41748187, 31575724),List(90243975, 97216188),List(85037208, 51242094),List(19843009, 40518602),List(23163373, 24154526),List(32259149, 71313531),List(98428737, 64484),List(27897969, 17544064),List(15181357, 67443833),List(85629077, 38904456),List(18887720, 85848211),List(62400974, 57770313),List(73799664, 53899325),List(9617043, 34782176),List(79764262, 20760338),List(40761964, 67014091),List(81126243, 91835005),List(44025309, 16590025),List(31941529, 72818662),List(77592983, 74774059),List(49247924, 40488130),List(24109975, 73469573),List(25504602, 68734703),List(86899531, 1774448),List(55319995, 41010125),List(41887699, 10215311),List(10468067, 56160655),List(53384474, 35880630),List(47404717, 74275691),List(85321007, 94611545),List(52661190, 433959),List(13254370, 55431763),List(59741125, 32157592),List(78932626, 66365840),List(42752686, 54134816),List(38945796, 3913843),List(21251850, 44248001),List(59227649, 82959749),List(81147277, 40952009),List(85936096, 63856763),List(64989468, 66189274),List(62279034, 6970377),List(32418448, 79723033),List(29881581, 44261230),List(37822300, 9275342),List(98847116, 86147255),List(42988612, 46732423),List(8134628, 13768550),List(78396281, 14247824),List(64984043, 74533538),List(41206814, 48587884),List(81604855, 1337010),List(41306240, 72960140),List(36908372, 99213280),List(58485353, 80790268),List(79419764, 6966016),List(14437131, 91038150),List(28515040, 81921065),List(86496373, 48560810),List(92259579, 523366),List(32665183, 57747769),List(85978730, 77652629),List(50474902, 68404123),List(18979503, 65274424),List(10475033, 68690637),List(52862793, 63965374),List(28960224, 48519127),List(72761970, 46171579),List(8156367, 63405409),List(61338428, 32464522),List(10376615, 10349104),List(17590280, 19630790),List(968289, 58667732),List(98755339, 84413590),List(18903603, 48248660),List(95781911, 33565130),List(87061159, 69146969),List(90507603, 94384223),List(70830881, 51844879),List(73870048, 47672118),List(17225394, 69423475),List(72107419, 62826527),List(56981413, 1700393),List(96725310, 73739733),List(83799392, 92325149),List(38205381, 89707164),List(25398135, 66578667),List(47813236, 59035528),List(98884702, 41049766),List(16162167, 54360816),List(30644421, 83677427),List(63576438, 73490255),List(81394300, 83464261),List(87134501, 82084791),List(2582588, 20308439),List(98313607, 63205908),List(97858723, 64721289),List(84720213, 13340814),List(51675022, 81488507),List(70858149, 45170535),List(49976576, 95026760),List(71011502, 54561967),List(62644526, 8184043),List(91370795, 12666310),List(93230597, 25600703),List(20061151, 10609741),List(29071622, 69713319),List(4703353, 84705244),List(545980, 9692279),List(1592398, 83631747),List(47753472, 70022228),List(15148086, 80525729),List(71714187, 12501678),List(693731, 17254974),List(64381324, 30615179),List(82937259, 5818592),List(80786368, 10636420),List(12397334, 70756941),List(86326527, 70654729),List(79082612, 98848615),List(96359005, 89912156),List(70109997, 65735873),List(52253676, 78908714),List(74838690, 40819826),List(69180125, 89211155),List(59887761, 32802929),List(13356307, 78512951),List(5674303, 1453660),List(57069835, 12094642),List(88074016, 45811178),List(52706738, 55922133),List(18970452, 5853472),List(57066617, 87265851),List(83224824, 28615442),List(2314170, 93649112),List(19812067, 41536938),List(98529311, 49119907),List(22227392, 49663044),List(83555724, 72056818),List(18941478, 75139070),List(99837801, 14935030),List(604552, 95180365),List(78067120, 89362762),List(3012373, 75415384),List(22205472, 88177013),List(12383875, 36587801),List(76118893, 72654278),List(64282968, 74552052),List(72378605, 24096924),List(74529693, 36454868),List(3864998, 76029585),List(64297190, 59119447),List(69955113, 21503634),List(55250566, 2224841),List(96911781, 66254765),List(13885561, 88044606),List(99619180, 94579830),List(67592753, 21052995),List(26838341, 55709293),List(82598700, 13386574),List(86515046, 98905764),List(84691198, 20082807),List(86717623, 16449982),List(83275721, 37897068),List(72206776, 11095228),List(38640015, 99463128),List(24688182, 85038347),List(96459885, 77599768),List(9614254, 9969189),List(1092550, 88986993),List(80881918, 32594339),List(81858896, 92759233),List(398916, 25506632),List(99198436, 71399853),List(97950301, 84071492),List(97196159, 31058854),List(22640782, 54033797),List(30475436, 76761870),List(68932350, 96560010),List(54086683, 44705762),List(51616658, 64040503),List(83116139, 6736265),List(94267538, 83398069),List(78773532, 8834367),List(74147049, 77792435),List(37968888, 57994312),List(92442250, 4847043),List(37890206, 74181484),List(87870508, 84773575),List(13166604, 33610448),List(17953122, 80710147),List(5104817, 4887417),List(58893082, 83681541),List(2076652, 88005329),List(20587970, 42603425),List(9542808, 19800723),List(4446107, 3716859),List(30516106, 9480834),List(62874567, 42503361),List(75336978, 35508657),List(89325481, 85457938),List(39023972, 46012964),List(22375762, 21024448),List(5868151, 96718808),List(89894218, 66671815),List(32709741, 72847296),List(98129742, 33298844),List(91265045, 52146809),List(94655697, 50851773),List(61196124, 91069784),List(83970631, 85975293),List(28117373, 91004000),List(33698611, 98623204),List(82660698, 78681354),List(17779759, 43619871),List(35484400, 84530752),List(34694108, 94240882),List(80786294, 14040616),List(54581944, 97913005),List(74167509, 62150947),List(84554538, 44222665),List(49863307, 3932477),List(24268932, 59340549),List(46975428, 2361455),List(2020649, 29665325),List(39121107, 44413938),List(87617815, 98892996),List(46383928, 13029279),List(29075477, 24263948),List(47529963, 55989078),List(45903829, 40473030),List(76920958, 50542170),List(64131677, 59025943),List(26988462, 67436650),List(7857992, 25238104),List(30353674, 50468688),List(81694616, 62332567),List(33781217, 20478362),List(20320883, 45863485),List(91941862, 78619854),List(45227383, 43387397),List(98781588, 17293301),List(68590627, 98895158),List(7139426, 94680448),List(97076926, 41328772),List(65642789, 16097312),List(89401357, 16454976),List(86764557, 93176139),List(39552634, 80587114),List(51389859, 47998055),List(98039629, 98714418),List(32402222, 4150845),List(32524105, 78098729),List(38639182, 53638442),List(47437229, 1125921),List(24989706, 16430523),List(48769053, 65699695),List(28795332, 80750793),List(1907992, 92712856),List(62558059, 56976281),List(50022335, 32779990),List(19343053, 66484131),List(72198812, 49466019),List(84654236, 32379278),List(16292529, 85483298),List(29939762, 44797497),List(85177928, 99686486),List(26991970, 96176830),List(38862821, 20043760),List(69105951, 41166956),List(422012, 66360154),List(59333052, 59131985),List(93458307, 48371358),List(89615404, 27660903),List(61324063, 96986092),List(98483158, 83207819),List(40949431, 32792987),List(24022609, 81988959),List(11476340, 13193461),List(87155031, 25067007),List(67806493, 31797662),List(76638924, 70724894),List(49507849, 31207553),List(97972882, 37755400),List(32147654, 72595017),List(7155084, 22864132),List(24290755, 44107467),List(598579, 51419820),List(60873806, 61824618),List(13388103, 38364823),List(25323234, 90417297),List(97727827, 37652405),List(95923875, 76296984),List(73904401, 50950637),List(12494896, 32293472),List(87031150, 50962569),List(15736530, 24809388),List(6498762, 46330146),List(60822802, 58153345),List(4087751, 19861782),List(59765199, 48502540),List(30150396, 17718879),List(86924445, 71762239),List(79953143, 93411067),List(3584009, 39040798),List(86911700, 46243053),List(34430752, 97404431),List(91215402, 81911503),List(34254820, 41704236),List(68234565, 74328649),List(90523481, 53006537),List(26025752, 20973410),List(70649374, 43859319),List(21407147, 73773319),List(68278255, 50793757),List(36831110, 41835432),List(8912665, 68020696),List(45180207, 50605962),List(12740803, 85044585),List(3056113, 97664157),List(4622868, 71131278),List(73366303, 37773225),List(38171808, 48247141),List(39561546, 27477524),List(97592011, 53794023),List(66955643, 4698308),List(45914844, 9353038),List(58472959, 48868642),List(819819, 73606808),List(83673044, 37813050),List(82904043, 26659307),List(32540929, 54181979),List(96993802, 87653395),List(27412227, 23824367),List(85851278, 6008001),List(11676049, 3734645),List(94668663, 93131373),List(8593625, 84581955),List(10120336, 80833844),List(41896653, 73577988),List(86041335, 2151390),List(15247883, 87281991),List(49924032, 6421383),List(57663526, 98350155),List(1648406, 37894419),List(66044201, 37859321),List(57134745, 97660907),List(13843892, 83533112),List(55097055, 16961151),List(25400235, 71630571),List(45178404, 12943282),List(66710188, 65532211),List(47767685, 57416416),List(44592541, 46348938),List(68618535, 83392733),List(7227697, 11117138),List(82318017, 83705661),List(23123193, 91476499),List(63215939, 63321777),List(6032196, 99829539),List(52068735, 4117759),List(5031150, 69465728),List(88392746, 15785505),List(67865633, 99777430),List(26013204, 31093403),List(27823751, 59516646),List(96726519, 22131946),List(13318529, 63054350),List(87432079, 72789050),List(13505791, 21177575),List(56275628, 40318747),List(53408103, 94877323),List(641733, 8614854),List(7137211, 24723763),List(72634266, 378762),List(22262451, 17151011),List(36107867, 67866416),List(89017114, 64958605),List(55063593, 17454801),List(53911302, 40139250),List(49932713, 3827600),List(29687932, 95134834),List(52944239, 74023747),List(63487023, 74168204),List(9648548, 4947323),List(54592541, 84390313),List(50732510, 68687061),List(66740571, 98464453),List(94155071, 40918421),List(31584866, 24788330),List(60520823, 6379169),List(58179697, 17890566),List(12623311, 16193190),List(54211083, 20217681),List(87296495, 91010494),List(27841488, 46325720),List(95215361, 23158533),List(68357389, 17271394),List(32736907, 84272713),List(29830438, 29410230),List(44403842, 70080120),List(40556872, 31401549),List(8279810, 44715113),List(40309838, 30326791),List(73605142, 5908468),List(88245417, 47209544),List(62193284, 18236282),List(6945913, 48745879),List(58013985, 85988723),List(13093031, 9292922),List(96917046, 35118383),List(92139033, 50297123),List(45978510, 69090898),List(69450479, 3778315),List(21975834, 31628725),List(18009345, 65037785),List(26793714, 36890189),List(88601856, 4093626),List(74468853, 57455784),List(81194017, 31512545),List(81247418, 44591582),List(82665301, 55719782),List(36081237, 46493145),List(99994661, 97366855),List(47673249, 99351008),List(5545133, 27628222),List(35837156, 36943036),List(94431322, 67476668),List(21064105, 83916334),List(3002003, 94186581),List(96281277, 53920136),List(57387709, 25612130),List(19330596, 62919343),List(33643213, 69494332),List(26984393, 48566414),List(74933036, 62891089),List(31643809, 63369906),List(78191793, 60463897),List(59657383, 16143505),List(63993382, 67343352),List(87865788, 30553819),List(21258982, 24900192),List(85283574, 33573782),List(54532743, 24016264),List(59745259, 19881035),List(68560674, 99502932),List(13732913, 64262630),List(15382039, 33748683),List(42158693, 12672155),List(69692649, 24066697),List(84013135, 36403272),List(58021893, 85304828),List(76457753, 52282605),List(38803454, 6849118),List(20395127, 24103942),List(65905019, 44854343),List(16351049, 88453565),List(89068263, 68914471),List(75085005, 87305593),List(35850778, 15997565),List(42781527, 8403668),List(26437469, 55983331),List(93757810, 66488506),List(63752476, 47326306),List(79025646, 15228390),List(9968593, 64821965),List(15529229, 29664084),List(13787614, 24435798),List(74319480, 53274579),List(60843280, 34620477),List(37882196, 48555895),List(93392478, 80158137),List(64952979, 43455206),List(26047333, 48379860),List(61222754, 45680629),List(57971188, 81584023),List(91738665, 33366666),List(99046195, 534586),List(45682134, 64158719),List(21308981, 82400901),List(30791940, 8420998),List(57819997, 65325524),List(51750809, 93496993),List(44218423, 10716407),List(67453757, 35661102),List(86754612, 11549289),List(25874471, 67444311),List(23184963, 73764599),List(98392760, 17455822),List(44366718, 95421109),List(6762255, 36976727),List(77852921, 66440181),List(34243759, 23017570),List(98016131, 58723034),List(75767577, 71504083),List(83067113, 59601640),List(63951087, 73009126),List(68023745, 29317432),List(91047994, 86034284),List(89931336, 26212121),List(15890889, 32268193),List(7430977, 79027145),List(38438594, 87740381),List(94452267, 93830965),List(70544395, 74186844),List(59654466, 76395425),List(14515796, 70217799),List(18059041, 40971572),List(30941410, 42719899),List(16118020, 98023231),List(24499490, 71800231),List(96487987, 28012284),List(16821803, 9987965),List(65224530, 32640741),List(69691522, 68263726),List(34225073, 99987108),List(92258592, 60919832),List(69699282, 64256726),List(96596366, 29349023),List(627863, 96598012),List(63826777, 76544450),List(53390898, 80695281),List(8308825, 41172228),List(18571072, 87217932),List(8371351, 3515579),List(96872149, 66189397),List(37696949, 61437756),List(81137375, 88462880),List(25937741, 30911672),List(89578439, 73438110),List(70204177, 76206704),List(16165337, 15311429),List(41001757, 35023101),List(57744963, 59960776),List(79504331, 38374938),List(78483654, 88892914),List(82135470, 87566460),List(2175665, 98039616),List(86721994, 40754107),List(98704805, 39576470),List(66026248, 57503385),List(93813789, 36155565),List(26026307, 62305206),List(18569348, 78777719),List(34334824, 3018833),List(54969954, 45791497),List(29250712, 8563778),List(96071551, 79309475),List(80056714, 52284585),List(58318516, 32738361),List(12022061, 75671896),List(61696882, 58103060),List(82807749, 30954901),List(74272081, 92093758),List(93377505, 75076256),List(26204590, 17879811),List(15637929, 54606749),List(24370015, 84268167),List(33376764, 55684685),List(29885596, 41048471),List(50171434, 37485146),List(31242418, 56298264),List(47505768, 45050837),List(17305680, 67745436),List(93756285, 77222789),List(14555709, 17298263),List(29306016, 86200185),List(98239973, 75173545),List(29831346, 82540980),List(60574218, 63490771),List(98390202, 63154949),List(17854284, 85198425),List(30247428, 81678669),List(19586077, 64207630),List(12910669, 61017363),List(18271036, 44315614),List(95430233, 17254199),List(61119954, 80047481),List(71095780, 65286394),List(68621482, 62938345),List(99581744, 58971781),List(10898602, 10711568),List(76454272, 41799005),List(74466873, 34163326),List(18009269, 88701585),List(89976332, 4131300),List(65849547, 96873067),List(54866331, 71011943),List(79130933, 65951457),List(48301137, 55531109),List(13023916, 47399130),List(55883199, 31381061),List(82094439, 96481236),List(50937950, 95233622),List(18470480, 90922917),List(67834167, 14488845),List(78589899, 46742209),List(86080413, 80017133),List(65939683, 49261947),List(54696492, 4958769),List(39606306, 916185),List(59735498, 27150248),List(38808952, 20860636),List(40782147, 71861554),List(77911493, 40870902),List(88970534, 37127293),List(1058785, 36379798),List(23773454, 35405030),List(52167652, 53293791),List(61553573, 41834029),List(55828488, 5482067),List(86071819, 79823375),List(27551039, 3262679),List(18951773, 67530833),List(85432728, 53105923),List(75424162, 50029037),List(97865094, 73381847),List(52642556, 29815644),List(84102150, 13772409),List(22546196, 64056865),List(55722296, 14086565),List(60551239, 50236992),List(1744425, 55739455),List(39165087, 24871818),List(76505137, 18630472),List(95132970, 28716467),List(15290479, 56446079),List(45678247, 68058770),List(57352010, 93471435),List(5542447, 55275292),List(25731876, 61479264),List(27345690, 58179392),List(43447507, 1352433),List(46727674, 14073386),List(10817335, 39748293),List(91882638, 68586048),List(18171627, 57392997),List(50275056, 88940353),List(70267106, 91629622),List(27429690, 91049652),List(31030322, 104573),List(56976059, 92255214),List(5554457, 17468060),List(57184737, 85484043),List(5616744, 96483156),List(59774384, 79682196),List(49934103, 89479019),List(73416882, 13561944),List(77173653, 48323049),List(37178364, 74834230),List(71452646, 94659868),List(5227843, 15786517),List(83404344, 13820503),List(27692645, 8267132),List(62730111, 94820909),List(81265251, 49294671),List(28036212, 30389964),List(87856391, 5447615),List(80729717, 13245802),List(24443541, 23628364),List(78334537, 26357561),List(59987688, 78355948),List(16046771, 70052606),List(3892159, 83751168),List(7145434, 33438559),List(26719820, 69101079),List(70494250, 40509126),List(16970122, 65640619),List(23314174, 77862653),List(52099063, 31190765),List(60051495, 34729341),List(5935488, 22518096),List(37488203, 60726304),List(25456014, 61870374),List(91108166, 49300671),List(88855512, 65697256),List(44731380, 81740222),List(3514457, 59969834),List(1201853, 61570846),List(48506417, 64853781),List(75720878, 36690307),List(8720916, 97104049),List(14440278, 69260202),List(90670210, 95058555),List(68560464, 77418324),List(58869176, 97962460),List(96863655, 27148955),List(7401023, 24964633),List(97081907, 80239149),List(33502583, 20915099),List(84767968, 99185776),List(67372412, 78282257),List(79855439, 50394424),List(74539441, 70781654),List(98310791, 30740193),List(9300180, 26630366),List(29202398, 48775295),List(40462309, 28276440),List(31643560, 25968264),List(44907941, 27562932),List(5583789, 44930210),List(88708837, 65794446),List(47483029, 15414166),List(77733727, 26278122),List(25997384, 89606683),List(91831101, 24446781),List(44610576, 53264731),List(46178455, 73073861),List(63056461, 98967259),List(71479967, 25409950),List(50848263, 67376802),List(50467443, 34471789),List(65807866, 8276608),List(72244160, 77510933),List(86293406, 99028221),List(43647355, 95452941),List(5386526, 50373781),List(8543283, 15851794),List(92655537, 42262852),List(40742412, 91798648),List(1319636, 1019251),List(26125940, 78786526),List(80760196, 33102000),List(25898678, 68697856),List(53438539, 69052450),List(88714918, 63335271),List(65920808, 48726642),List(58009485, 66909522),List(60608432, 19308608),List(74513371, 65418699),List(29719165, 62362833),List(84635282, 91550248),List(66126409, 39549768),List(60535691, 86746400),List(37709733, 31857127),List(24694047, 37202961),List(73454945, 89824319),List(53149253, 66989655),List(72540117, 27758796),List(42393232, 21822431),List(44791281, 13364612),List(10136666, 49855045),List(64996025, 49975257),List(31548404, 82753481),List(20333912, 17390968),List(7402273, 99653003),List(81210918, 70775107),List(11175373, 75999598),List(23220074, 38101692),List(13160650, 41238709),List(90560753, 80804732),List(41132882, 32664076),List(24935738, 24149058),List(58320332, 69583885),List(57589554, 31111009),List(48255753, 21547083),List(95182679, 83970013),List(98171776, 57922742),List(45448455, 88483379),List(59239606, 42599012),List(921622, 68878121),List(91532774, 91880907),List(65691378, 38207223),List(79672087, 29684581),List(88068356, 85984646),List(12539320, 95985520),List(55047019, 857400),List(31261272, 13524577),List(40364996, 73054487),List(56724176, 80118590),List(2861682, 39564676),List(26147782, 51343627),List(67112015, 77197667),List(27424988, 21902712),List(6949814, 40138585),List(77868306, 51275385),List(29055554, 30448244),List(55021580, 69254947),List(28567965, 79198297),List(81296023, 92644484),List(23551631, 7735634),List(16743030, 20564721),List(32087180, 63242606),List(99542137, 44788204),List(76974336, 27815909),List(98861553, 76650369),List(14053929, 42965258),List(83046289, 80822142),List(56131220, 65031172),List(45122323, 26007150),List(29723082, 29429708),List(24897429, 36636193),List(85325814, 88581179),List(54975352, 35284009),List(9108695, 38655901),List(59232037, 25609304),List(28242442, 59315942),List(25614633, 66373405),List(50386288, 10475729),List(31582736, 33418771),List(74098842, 23376984),List(84798802, 2356623),List(91550497, 13713631),List(11854459, 69474386),List(28338820, 99576556),List(35609655, 24691164),List(57113835, 82763363),List(90285349, 35468587),List(85355901, 88156821),List(89404741, 21333257),List(8238571, 75321696),List(19351177, 22261937),List(20998081, 93143637),List(22721536, 60257100),List(66131962, 92890030),List(49317024, 25538583),List(68535097, 16948592),List(80937448, 31648528),List(70745281, 81510415),List(80899299, 54019804),List(77491796, 93015329),List(39570738, 99102753),List(18768986, 80941510),List(67714999, 32535126),List(88731057, 60157295),List(91697763, 26367815),List(72565108, 47083993),List(31544958, 35861701),List(59346379, 17987965),List(54761275, 5273775),List(79613618, 8076730),List(40755172, 54305281),List(51107627, 11244702),List(34304471, 29453904),List(42420183, 12471000),List(48087068, 57443500),List(48965350, 7154479),List(14296382, 94910988),List(1181205, 155048),List(53055497, 94491730),List(77866618, 59871248),List(71497195, 38710099),List(22066745, 36353157),List(24602829, 76909036),List(93533641, 19756709),List(96237876, 70027247),List(69370670, 71706333),List(41514082, 342128),List(55421793, 9425351),List(83263233, 27743032),List(75271952, 98131758),List(53035046, 5652073),List(74170972, 96981625),List(48974164, 95626193),List(49624403, 68232580),List(19785250, 8706623),List(64045037, 63833828),List(14850443, 67585257),List(74498081, 27965828),List(30044077, 92326706),List(6841731, 90524739),List(36830152, 56530300),List(14425749, 45225835),List(70425972, 89024757),List(60782769, 37563741),List(38875233, 83169558),List(12657076, 25854216),List(83827447, 11427278),List(12658518, 39470339),List(48286997, 3970015),List(43146408, 91058267),List(18944397, 32911151),List(65351413, 67770555),List(24256699, 42920186),List(52567610, 2367084),List(98492696, 49263288),List(95237005, 27621300),List(75585828, 13815914),List(66889329, 35234460),List(3874127, 58019228),List(25806124, 48333879),List(12912267, 85319172),List(35089280, 71186220),List(85490789, 49102157),List(58792112, 29493889),List(55369956, 12644717),List(61127434, 19396810),List(1353206, 54434984),List(81993471, 2039757),List(4523840, 62011051),List(71590567, 19069734),List(37746984, 80905246),List(53958366, 16477780),List(79228225, 37689692),List(16886299, 76809964),List(35725911, 78678621),List(78765719, 2555387),List(24766163, 46753895),List(49422833, 90321042),List(77179620, 250709),List(91627473, 60998444),List(58290324, 69797327),List(59125080, 38440661),List(40870791, 21107103),List(11519176, 8569188),List(16007291, 10646604),List(65075309, 8454064),List(90380972, 91057765),List(90786249, 3870481),List(20539746, 70310335),List(58778233, 87470277),List(31962848, 64645349),List(84727016, 13983812),List(34916674, 81697578),List(52288625, 2251732),List(93101038, 30197017),List(52833877, 72283114),List(48673068, 2912312),List(60779841, 12584625),List(8993494, 10348510),List(9933404, 4049336),List(78470097, 97185564),List(51954557, 67638591),List(12064438, 43535816),List(24435840, 9186191),List(81906964, 12867762),List(84066091, 30291848),List(93682851, 50806266),List(14890633, 5479488),List(15930114, 15847957),List(62439556, 52015141),List(55357725, 88072588),List(39875555, 99453248),List(97825959, 76331404),List(41312211, 70719672),List(641259, 98140853),List(78791155, 72021559),List(31284985, 47579222),List(31478920, 79556770),List(64211177, 99896893),List(62152620, 47754870),List(26691971, 64669801),List(7524725, 42126392),List(11651498, 11671231),List(26228459, 42719918),List(16545565, 11796529),List(38494339, 78226345),List(38492697, 8727391),List(94443362, 19753462),List(89945270, 27244202),List(6883224, 43047811),List(68175217, 38470550),List(47807882, 24463930),List(99821008, 81492509),List(77846275, 88227258),List(4737334, 43464597),List(14154287, 11333862),List(68366439, 89785968),List(69082439, 78896245),List(71912428, 38669946),List(54203192, 34363852),List(84095963, 59109521),List(70577916, 16074593),List(10163131, 44644959),List(5072162, 51580966),List(55311464, 2963896),List(48455697, 69416918),List(66844847, 42588684),List(89386658, 2501018),List(80438157, 28589638),List(7880281, 60172361),List(98108381, 77853169),List(20311021, 9495392),List(15206458, 39814346),List(12332877, 3776411),List(68288371, 87584747),List(21952106, 43934228),List(62087220, 86402577),List(30887982, 34006860),List(37240602, 37785779),List(6178094, 62594391),List(29858371, 79345348),List(27383150, 56168916),List(99298147, 24869800),List(58151884, 65181936),List(49437291, 80090060),List(67438208, 71328273),List(10013052, 95833337),List(88889680, 55658001),List(94535869, 45894453),List(29597284, 26561671),List(67048424, 88244025),List(54272538, 27709276),List(48101399, 59469310),List(42000186, 67079325),List(20284977, 16313258),List(88339560, 30812730),List(79641525, 81843025),List(85139741, 75797545),List(84370576, 28422226),List(67800345, 69618313),List(91178221, 25011954),List(41716413, 8072817),List(36619882, 49832236),List(16073797, 94331458),List(96977630, 18197117),List(34351341, 68303987),List(24675472, 57182881),List(36420019, 46925378),List(6749026, 1156673),List(70864990, 12672272),List(23690222, 99592002),List(11639716, 92493257),List(27698130, 68484576),List(94649363, 17985648),List(49493923, 3830917),List(27851179, 22858263),List(5407204, 35623764),List(65644151, 81426233),List(27261234, 83813810),List(3891396, 38619151),List(87288960, 20151416),List(88281239, 21167819),List(38713493, 76502114),List(87009951, 92602900),List(91018780, 64140529),List(6284519, 68062695),List(11454496, 70662221),List(36443422, 59109667),List(10065282, 48891563),List(86092372, 81479079),List(58590084, 56694760),List(65997595, 71771202),List(77575497, 49519611),List(83982910, 25208195),List(34629303, 30530785),List(30628500, 11122783),List(72290111, 76005763),List(55191951, 8548529),List(53467300, 98475202),List(5201418, 83990778),List(78974081, 47873920),List(52831052, 66482813),List(54128941, 28102886),List(11064817, 3195961),List(53654068, 23120195),List(30084022, 98984637),List(33518272, 90761140),List(65950306, 9532182),List(40770258, 45151048),List(57860481, 98465426),List(50568621, 45264486),List(37788044, 98920982),List(19847881, 98430432),List(55962495, 53853296),List(76557070, 92078920),List(20100242, 53195663),List(29065988, 83903399),List(60727062, 84231281),List(16158605, 99301638),List(75329624, 73326025),List(82388558, 20809072),List(40420273, 24754431),List(9577426, 25184192),List(70406557, 86019762),List(21825743, 14055021),List(42146170, 12826307),List(18151389, 27737975),List(7817976, 73696493),List(98288586, 44798331),List(52291363, 11784232),List(79783701, 92436521),List(57445299, 41444383),List(85816630, 82359603),List(51631932, 89841224),List(64499005, 21668208),List(73926683, 51912328),List(59781052, 91044218),List(35353208, 46171339),List(38454201, 1799980),List(53728608, 80592054),List(72407158, 93482700),List(24698274, 80879256),List(72710874, 21911890),List(9564590, 68001267),List(47908198, 60707749),List(11410071, 61285408),List(68989859, 12383732),List(67034381, 84856635),List(1237510, 11044262),List(80753794, 82254825),List(22973881, 72675875),List(51628474, 39357749),List(4439723, 54260642),List(85982663, 12422981),List(38307010, 68552710),List(11685900, 65949595),List(88258070, 69927934),List(55498713, 57752333),List(16567254, 80987020),List(82154710, 636050),List(66368063, 8495444),List(668812, 83192341),List(63798485, 25073455),List(36269008, 96103452),List(85521261, 67698257),List(98430586, 84850688),List(99352070, 9956117),List(56453569, 81512971),List(89766533, 1934547),List(68243495, 11336251),List(53802828, 97447059),List(37559198, 32245591),List(45141617, 51270897),List(86566094, 26335400),List(20128601, 9082936),List(14183840, 59718922),List(35223563, 76310136),List(40970723, 35868596),List(11888295, 10916825),List(8716613, 63071975),List(55660784, 36487580),List(73142186, 62583557),List(66938032, 51334092),List(36780034, 67089087),List(405534, 34189983),List(49531992, 4093571),List(93332121, 44083538),List(94049489, 10698291),List(55690187, 62833323),List(10730222, 14052863),List(72923710, 5819),List(7204576, 57904982),List(25727223, 23094247),List(42380753, 87393818),List(39682993, 14717558),List(24490956, 2711020),List(62971978, 78260844),List(84058705, 75325262),List(59593886, 47037277),List(2814475, 34460624),List(50269459, 88985492),List(87359525, 47941629),List(23347033, 31775292),List(37733055, 94645003),List(42654081, 33984383),List(34487751, 4131074),List(72260465, 92344598),List(77660806, 63135071),List(70716013, 24212009),List(13716809, 37773022),List(23867424, 72803130),List(55074270, 55126630),List(4015589, 82607341),List(10851980, 59262376),List(52624078, 68874480),List(47813815, 88164985),List(71033578, 398541),List(44086813, 51759745),List(77187453, 76826296),List(95657970, 3188706),List(88772888, 4156616),List(28515542, 1982429),List(65631363, 52714695),List(9144964, 63817438),List(58574494, 61337085),List(85611811, 59167919),List(10762455, 65217191),List(16453770, 72418064),List(5482304, 55133372),List(57501920, 41039363),List(19708290, 92774897),List(14910068, 91413548),List(91744669, 67661851),List(38990131, 14507665),List(33922484, 97669834),List(58266127, 10799380),List(15770432, 94948345),List(47546033, 23249858),List(64927890, 96819727),List(66126633, 62145788),List(56376610, 5718833),List(38355878, 27565371),List(38275315, 31926894),List(53982732, 91468488),List(18782892, 97754201),List(13162598, 72293983),List(84787703, 51192374),List(78715089, 74493157),List(3611302, 31042090),List(38202515, 77274518),List(36131797, 29227374),List(66319176, 8838982),List(168595, 87577366),List(37224503, 48100592),List(70221838, 67427437),List(1773028, 90043888),List(22428569, 29939926),List(84906, 69365353),List(39983327, 22719724),List(61266604, 94848200),List(24742790, 55030207),List(31205877, 71850475),List(57717204, 22868043),List(44254126, 83490903),List(81855862, 45754945),List(22479297, 896169),List(75001978, 67630784),List(10085987, 99814511),List(10040, 76303262),List(1745363, 70523179),List(91037886, 28615300),List(95353517, 96560042),List(83085753, 52215311),List(7872254, 99634726),List(87617085, 97655224),List(72598855, 40045902),List(70746919, 5716091),List(75013146, 36051064),List(73952468, 39981700),List(91742864, 86814335),List(29054746, 48789795),List(98535629, 90586143),List(59657848, 58807681),List(23487259, 40747416),List(236845, 97998817),List(2874586, 71332842),List(82174563, 99461356),List(51569302, 55653410),List(62916765, 28895839),List(73177123, 32034179),List(94137544, 62479422),List(56354763, 82340100),List(88840316, 84626073),List(98942081, 22195853),List(63399136, 33854228),List(65508838, 94108171),List(56173986, 74496261),List(54596923, 47591957),List(11640094, 2006837),List(62039756, 44606112),List(42320702, 13380600),List(40865585, 92037003),List(12608553, 30237394),List(11778051, 31381802),List(51641062, 24266466),List(44716708, 2256086),List(75496285, 79446195),List(82940416, 63989939),List(968911, 60933376),List(59464383, 63619149),List(58741332, 84764762),List(61124064, 76569114),List(93338439, 85580146),List(31406774, 76580227),List(77745500, 41752404),List(156171, 17217226),List(94162942, 35893577),List(96219966, 49670537),List(11765877, 98370874),List(37788840, 3830382),List(62364820, 11539408),List(81420129, 34906),List(3721349, 57336818),List(77442180, 12058626),List(90403939, 26634294),List(87142442, 88932732),List(84721347, 40583142),List(79541162, 63697827),List(52831655, 67585493),List(9267784, 1201115),List(92996180, 92284395),List(37499018, 78722022),List(15408121, 58883256),List(50391228, 357330),List(8193871, 39599652),List(5392611, 15485438),List(62972863, 6629946),List(9423152, 60232176),List(94342517, 25257089),List(5985195, 78913141),List(92754984, 37462167),List(41920653, 45005052),List(3302497, 52134963),List(42702249, 57033678),List(7102189, 5325184),List(44483360, 58799840),List(62427722, 76277570),List(80952926, 82369155),List(47620911, 84430017),List(9837191, 62298301),List(95934077, 52474928),List(70582401, 43487747),List(28672624, 9462267),List(75505152, 92962184),List(49114237, 30126769),List(67816666, 45820635),List(99087010, 99411226),List(82963018, 15491193),List(5330273, 43491298),List(60354906, 37373398),List(9386340, 16147844),List(13246962, 58719742),List(25764362, 47023027),List(57353812, 84854061),List(96727047, 74250341),List(76292643, 35065293),List(77871811, 34899799),List(19232806, 43159494),List(11816376, 41381790),List(48473027, 22114229),List(68095020, 62118558),List(98156750, 23417666),List(37556024, 17228380),List(83508483, 65507370),List(60966362, 14092089),List(17221767, 97565670),List(89977389, 99688874),List(63040868, 31760358),List(2316007, 66892267),List(93401729, 36220109),List(85770414, 82959953),List(4839799, 42266861),List(98008037, 97161694),List(26443705, 72228957),List(92981073, 45591804),List(87669452, 46874948),List(6713567, 84566487),List(20962882, 10999524),List(95328232, 28101258),List(55658155, 52257017),List(78420968, 38952128),List(96382750, 91554832),List(82863726, 97284895),List(44227631, 46839943),List(63802570, 37619434),List(26569567, 94349496),List(60653994, 85718975),List(22025326, 59299777),List(94496011, 77987023),List(4055012, 14891422),List(30697233, 53835301),List(39270710, 45598093),List(71919045, 49895960),List(5285430, 89415748),List(68246978, 67393002),List(56301942, 16278753),List(39564049, 39285276),List(90974111, 2408306),List(12559013, 15257856),List(3559341, 36845972),List(89693915, 17778787),List(83271880, 15532363),List(43802416, 40373120),List(90184747, 5020876),List(26929253, 68597946),List(2678363, 23698172),List(10634743, 21788634),List(30380982, 69388759),List(52516099, 4965058),List(48477517, 68453544),List(11795642, 98105855),List(5983798, 74491742),List(62615630, 63376467),List(81380974, 115734),List(43066230, 31968407),List(94384848, 63433885),List(34325971, 24341232),List(45446970, 76984211),List(37579584, 35377028),List(7444150, 60076116),List(72790446, 28841543),List(40775599, 84187204),List(27833947, 76810310),List(90043621, 16616481),List(99962581, 71991652),List(80467040, 11088788),List(81875586, 5268210),List(64138773, 79371491),List(62620023, 24907939),List(47547134, 19241937),List(28206486, 19447409),List(30846038, 6684854),List(30100973, 72337251),List(36303852, 70853332),List(20690491, 77027739),List(53911438, 37704055),List(71753262, 38777492),List(36564192, 35493995),List(77660744, 11467784),List(97050164, 23657233),List(87416839, 91812605),List(45562110, 97417736),List(5576717, 40420813),List(51413588, 97947165),List(40771562, 86581071),List(51532591, 868593),List(5707658, 77846329),List(77616113, 26549960),List(59954521, 44409895),List(77360000, 66124791),List(22348034, 50593737),List(21590971, 70958542),List(95605871, 80866266),List(4075713, 64653311),List(70199246, 48403546),List(17136265, 859491),List(61047280, 89959161),List(1403571, 91259059),List(47393722, 6205986),List(33107227, 23167100),List(77221364, 4964048),List(11633090, 55266007),List(7529085, 5044956),List(96683445, 23297290),List(18067032, 11908114),List(48975682, 92774403),List(67587571, 36520164),List(73436490, 1703362),List(37635414, 69202794),List(5463837, 40123640),List(29953396, 16073371),List(53792112, 50559231),List(3875650, 44707618),List(52863329, 85308263),List(7136029, 47103263),List(29499684, 91264396),List(40674451, 62357867),List(73657877, 73167972),List(81389480, 36942193),List(28233466, 2559297),List(95130918, 70713838),List(81776305, 99029892),List(57692587, 73637268),List(57764599, 8971188),List(33679650, 15686398),List(62038328, 54624613),List(52298504, 17386830),List(41956282, 66611194),List(30045781, 8048347),List(11430138, 13301783),List(47897975, 60929095),List(3566958, 57647164),List(24560504, 39988280),List(33060108, 25603231),List(78622526, 56246138),List(19278574, 55551659),List(57640245, 21901108),List(40958980, 3836592),List(79183983, 64985088),List(15955167, 47460904),List(70908260, 88872204),List(63022906, 15126181),List(87760727, 30570782),List(61848837, 77629182),List(74569211, 14207985),List(58453650, 30434726),List(15199215, 26046869),List(63791449, 28751458),List(60641355, 48973916),List(13818948, 22609493),List(70220068, 13620012),List(10249087, 7210598),List(12432352, 22736684),List(75533154, 87476434),List(82119655, 7449293),List(40832163, 18019069),List(58371092, 79096565),List(34803117, 34081346),List(29114210, 7132986),List(59679141, 90888419),List(23191029, 91423699),List(16639342, 80728071),List(32000340, 78443094),List(66483798, 39186801),List(99489530, 77994315),List(76044840, 42798560),List(72555523, 86129936),List(77185092, 87737669),List(47466348, 83133417),List(82185604, 49614506),List(14615979, 62813385),List(1069901, 74217177),List(86055807, 32670936),List(99013813, 97488373),List(91836634, 36201668),List(68188834, 65338072),List(28973057, 52839822),List(40899082, 8595717),List(83953913, 31160370),List(34377733, 16332392),List(77571757, 62279920),List(13429651, 13868750),List(81024671, 98913581),List(21371893, 57492088),List(94943917, 9105027),List(60040409, 63602613),List(5550547, 6873153),List(77555495, 48493833),List(34956613, 68096566),List(95164516, 29227142),List(96049384, 75197843),List(83741301, 11223416),List(79582174, 57581898),List(189829, 23072347),List(22935943, 21360970),List(48306469, 73288490),List(98089625, 97730170),List(88525488, 21713779),List(36659832, 60328752),List(62670961, 69742880),List(17186618, 7217260),List(3271111, 56372855),List(77224360, 72922616),List(92377118, 68648047),List(78974082, 77952142),List(89117467, 9928857),List(2797236, 70172848),List(60829331, 80640707),List(75928579, 17506616),List(42459439, 14964501),List(28096870, 66505190),List(56962428, 8644793),List(88651021, 23940526),List(83381952, 9088926),List(11510195, 48301879),List(44705737, 90421455),List(82274533, 40948637),List(3773647, 59459232),List(30887191, 6840791),List(11520557, 71826976),List(69258568, 11564839),List(27943552, 85591238),List(114837, 41422368),List(32073797, 43560437),List(73066229, 81490793),List(51337789, 31131352),List(45259474, 64579978),List(5321600, 66680994),List(18234038, 68281949),List(55081338, 43727151),List(64765262, 42139362),List(3968291, 10553609),List(39655797, 31612776),List(69582930, 93693860),List(10287337, 26367706),List(57558948, 91633006),List(73990958, 62898626),List(28500543, 72299705),List(47219489, 74495151),List(11777666, 95984254),List(27557849, 19852353),List(20973670, 1418979),List(7674255, 3352619),List(37043860, 72410541),List(71816292, 84504640),List(71258347, 25978095),List(63403426, 58014429),List(48676126, 91306241),List(47791680, 76923373),List(65225726, 71309888),List(11058995, 35656721),List(79000135, 91738022),List(46199000, 9265206),List(13383732, 64340459),List(61772897, 16901372),List(55955602, 96146676),List(4120637, 17661491),List(1843992, 23339397),List(54483872, 37900908),List(45422922, 2454999),List(25059532, 30147027),List(115442, 81930016),List(32589222, 45240503),List(58264852, 31081029),List(35445251, 84384272),List(28719261, 2952405),List(99253145, 27625591),List(105793, 19381239),List(99482236, 8316046),List(29267292, 43578902),List(22554236, 36999447),List(21972783, 32940423),List(56998796, 38361810),List(9899067, 31319221),List(74011631, 22705209),List(57190539, 81896176),List(58159867, 65261224),List(77472441, 32548078),List(47204745, 23898432),List(67684741, 57273300),List(47686313, 40004149),List(58077304, 72402546),List(74450521, 56844681),List(21462764, 23644372),List(28073926, 22850154),List(80155740, 12382165),List(8465457, 77952578),List(71569245, 26058353),List(64834877, 34536668),List(74914995, 83141962),List(21496492, 55056313),List(61213454, 64734188),List(1589168, 60717822),List(40085596, 33298866),List(19187639, 23199682),List(79302910, 25057869),List(82209052, 96086112),List(65531159, 20032596),List(91061020, 27104135),List(82721275, 23965446),List(51458460, 49519710),List(16266421, 79971169),List(18419707, 82619644),List(61457629, 94035974),List(66991424, 21501126),List(99293312, 22710930),List(8649699, 66542835),List(98290922, 44631844),List(10278818, 65178121),List(15464816, 28436749),List(63249053, 75073702),List(4656175, 62715076),List(78757804, 56419843),List(31126900, 14596479),List(69035375, 57298142),List(41528955, 1287620),List(32353546, 99811309),List(84129747, 47965727),List(86096397, 87266845),List(11728468, 62213279),List(6809525, 80252095),List(62476038, 50866951),List(33006280, 36587217),List(75867005, 29791633),List(19873699, 93032970),List(74456920, 94707576),List(28848816, 75319330),List(4793893, 77767225),List(1748412, 24716367),List(9573224, 78002276),List(95802622, 45762344),List(20911302, 3006022),List(48396581, 30692308),List(5568841, 27455502),List(65213272, 98464742),List(49910765, 10026989),List(78582268, 54185501),List(4597209, 78972712),List(45643043, 79197580),List(62743885, 51817021),List(39379135, 32494843),List(48773569, 58731994),List(51555780, 56052970),List(16521979, 82776286),List(5729385, 38555054),List(40294521, 40194823),List(88582388, 15312822),List(23968790, 91395605),List(55790727, 42765120),List(20594926, 26581198),List(23997277, 86922655),List(68904971, 9640903),List(44868409, 73000944),List(47462084, 93564332),List(1105286, 1215495),List(32573482, 29153978),List(29381480, 83968537),List(78975359, 55725808),List(6983701, 56228570),List(12358142, 70289572),List(19886523, 68153396),List(18294739, 54030805),List(88343943, 80755901),List(77906593, 42988911),List(53937398, 11603471),List(36847153, 88603506),List(64269065, 56602347),List(92826971, 93050402),List(82271627, 35021563),List(80993029, 96695268),List(97175230, 2960973),List(83541152, 38082370),List(49034109, 42287160),List(51814983, 12892838),List(37536535, 62029706),List(73311586, 27925837),List(15953879, 89318411),List(69204346, 54378301),List(4468303, 32962820),List(64037620, 20163184),List(89324790, 43981668),List(99949298, 79719142),List(42060198, 19772178),List(24478045, 62770188),List(71328627, 67184689),List(92047593, 98512476),List(8374045, 80258786),List(75810953, 68226631),List(25033676, 31660833),List(85350871, 8872942),List(96498086, 96048406),List(88842136, 7142907),List(38596862, 54472351),List(82539241, 61577518),List(55378958, 55265801),List(4669394, 26585499),List(8756108, 75040141),List(51218351, 99328454),List(55312446, 53827718),List(40122091, 93175423),List(90912437, 2655540),List(24667915, 93642004),List(22165504, 2727860),List(692645, 13386591),List(51896589, 77043761),List(60368467, 10924204),List(36928349, 31185254),List(85279752, 98593741),List(24376099, 5055347),List(71149485, 16850619),List(53702814, 16621146),List(27216119, 94787608),List(43496570, 66042204),List(6535089, 95366305),List(86013870, 90310908),List(51639679, 29362952),List(8863223, 66235348),List(2200904, 89503013),List(51010387, 95588539),List(89381026, 48237884),List(63871360, 68049992),List(82450249, 98395900),List(43384508, 43549400),List(46692232, 17604275),List(49807480, 84785736),List(58447691, 79264031),List(62664260, 4069660),List(54341537, 38879000),List(65212809, 18601155),List(76588514, 87074233),List(98124883, 90559684),List(20384045, 8137019),List(75752015, 33772641),List(10732783, 29027658),List(7584914, 97361045),List(94475395, 29593777),List(57513808, 44618237),List(44137604, 77748462),List(63159464, 3111438),List(18017667, 59436623),List(47478186, 55794519),List(96756277, 33389663),List(37370991, 13161743),List(22962278, 94260732),List(69175187, 55627773),List(73399088, 67080874),List(77550550, 12401440),List(74924638, 21603253),List(71756184, 9314218),List(29572181, 11642743),List(63661901, 91793736),List(88109156, 98478603),List(34247009, 68365822),List(17186264, 99953417),List(73524967, 45842631),List(57013183, 79208998),List(70612144, 54714699),List(69662721, 99455684),List(40783649, 4077585),List(7743015, 99502137),List(15693512, 15570190),List(93401862, 36891075),List(76164119, 23529299),List(88369442, 39199963),List(37007701, 20977650),List(76326040, 87425275),List(61608075, 28764562),List(27186332, 97551822),List(49873516, 11037069),List(93275374, 96094652),List(74491138, 62939772),List(17559904, 34564732),List(10548301, 58235366),List(58082922, 14398385),List(62976195, 88755952),List(73392117, 86124253),List(40069967, 95321433),List(97861353, 74400183),List(51962228, 1228118),List(32700596, 19435846),List(43058225, 57087229),List(54441306, 25261635),List(69663657, 54676119),List(25643914, 11334727),List(60442977, 33037222),List(34830717, 78982566),List(31941551, 38497238),List(8956408, 56970834),List(88882258, 13736688),List(19272802, 41180559),List(75923861, 92789145),List(75446710, 39584425),List(33992755, 16725143),List(91708759, 87158260),List(84601393, 41002206),List(40901867, 12687665),List(31360270, 28302388),List(94187515, 37055483),List(9015150, 72927354),List(87125663, 2680417),List(81398979, 84372858),List(78994068, 46534112),List(836279, 28434301),List(53293204, 17554897),List(41032768, 99107883),List(22725028, 43470050),List(92870338, 79109176),List(26929411, 46919850),List(44591234, 61809359),List(42013984, 14604403),List(94839589, 26956762),List(4017161, 61395573),List(98350128, 62335736),List(56648566, 15672179),List(59151874, 54108019),List(8434486, 49901202),List(19473016, 52086130),List(26408451, 85407704),List(26661507, 69018165),List(61626552, 6539799),List(22020647, 68890250),List(22187905, 60787175),List(4234282, 15205781),List(91599204, 90876554),List(95005232, 47162857),List(8420051, 75114681),List(7279398, 8737585),List(18062992, 43573845),List(94357617, 97851427),List(36578129, 63832843),List(95077385, 87294678),List(44116962, 57127134),List(25102774, 28235990),List(95270739, 51127447),List(60597949, 93449616),List(91095555, 51284709),List(29736017, 62424797),List(29299904, 46051173),List(85877087, 55572127),List(53362801, 23149210),List(39423267, 58441055),List(57678476, 27181455),List(92756760, 70986579),List(9348138, 63259581),List(92799519, 83897833),List(86779279, 43791152),List(6101993, 7195337),List(72092549, 3894730),List(8417058, 93435357),List(13902922, 23645163),List(59522545, 36994191),List(42513380, 13618637),List(99585326, 10493817),List(46366841, 15160551),List(22808267, 21451743),List(81541056, 44994437),List(79968775, 10555654),List(2275445, 98727291),List(86805752, 57001828),List(54027736, 52791515),List(80582136, 16972841),List(92211534, 19303753),List(9844320, 86667692),List(41799598, 93579120),List(99150527, 45993505),List(23752088, 93247497),List(99260965, 90441832),List(78031117, 31426032),List(90489556, 85489901),List(91301415, 55427353),List(55698755, 8702025),List(23854916, 54330846),List(55525368, 31349486),List(58989209, 77775468),List(33353225, 64512361),List(48173155, 6463742),List(84589286, 62188061),List(54098199, 71756126),List(86324794, 17828480),List(648986, 17882052),List(2283021, 7498495),List(94670494, 13488819),List(52517531, 92167782),List(11574026, 64925090),List(73898443, 25552094),List(22730645, 69773499),List(54532438, 86645352),List(98587970, 60701005),List(75030318, 72672177),List(5713501, 55317468),List(60800407, 56051261),List(52171538, 96179797),List(49325648, 40993056),List(22952326, 58256838),List(33365893, 68763997),List(58610399, 51006104),List(96968252, 95995860),List(50004616, 70361112),List(19976990, 43576432),List(80948490, 85921118),List(46832560, 84425631),List(84529977, 51159894),List(65320491, 3069154),List(30402245, 43331019),List(96548884, 16126905),List(68720489, 51792829),List(11107488, 96464281),List(24839971, 78689177),List(1157249, 72774970),List(9267403, 32410812),List(95780480, 5598517),List(73607918, 76850817),List(14980354, 70808445),List(79076470, 91543143),List(48450866, 46281309),List(11975008, 25779381),List(59873434, 676607),List(91426336, 72693793),List(63538609, 20697479),List(87213999, 31064182),List(11940551, 3969284),List(91715872, 51030795),List(59618373, 33589766),List(22739449, 30113175),List(14319308, 43563664),List(71608570, 45535864),List(21523985, 71672962),List(25561469, 47588391),List(1982702, 96846527),List(2848876, 86570282),List(98641659, 83875733),List(29922183, 70079989),List(57639089, 62780934),List(61032114, 57247913),List(7739042, 13657252),List(30653741, 32352726),List(11216171, 55127139),List(94176713, 22346212),List(59092524, 12320),List(14389546, 49343701),List(13298179, 31355903),List(12142221, 84309661),List(82529882, 15127862),List(843521, 51205956),List(41222022, 11081828),List(84708179, 19913463),List(51012115, 65121164),List(42571453, 53792122),List(46709889, 93137412),List(46362760, 37510503),List(95716558, 22008719),List(86814318, 92669655),List(16700657, 54327393),List(96260490, 71845511),List(10881308, 18945018),List(21405747, 43085061),List(24328360, 94199092),List(54321198, 76786032),List(40828471, 78791277),List(19923181, 13887000),List(41381302, 40891097),List(29382042, 34830850),List(37545388, 44325172),List(68184312, 73351259),List(70751657, 99634662),List(19127171, 37447709),List(64707787, 51915695),List(33902593, 34418315),List(86794062, 32689202),List(43438169, 42490839),List(65941223, 74187198),List(31459445, 85087182),List(51591136, 54659453),List(33176648, 22017970),List(99515728, 2633782),List(47447477, 16521359),List(58199707, 23123731),List(19154359, 60534251),List(9267794, 69621886),List(63356220, 85796688),List(44616662, 3896326),List(14979426, 88914450),List(16318785, 33584260),List(8111390, 8074611),List(7233996, 49335549),List(35141948, 26038696),List(5069091, 78735761),List(54095380, 64883477),List(38867257, 71420396),List(72541210, 78593643),List(8279862, 69807211),List(26953764, 76827902),List(65668335, 95986857),List(53192921, 69232209),List(69720685, 29848532),List(83442917, 71674778),List(76027657, 18925539),List(7145246, 12737682),List(74693405, 27576108),List(76660449, 92092255),List(95262523, 73252292),List(60514648, 42406703),List(77825794, 47242948),List(89248919, 91812968),List(66776081, 43988258),List(53238889, 87041971),List(44803624, 14433359),List(87393928, 69839037),List(18351940, 44894981),List(60839607, 31043202),List(35474208, 7349757),List(85271868, 69491871),List(74205519, 50796100),List(95592076, 10228074),List(91857625, 9048657),List(9414025, 78119764),List(55646626, 42014249),List(55399264, 65803118),List(72626116, 75036959),List(7299108, 88253392),List(26256248, 66186410),List(20829385, 68912608),List(73114289, 71732932),List(4430999, 19790009),List(3883115, 4744166),List(25302034, 86789422),List(12969183, 31250845),List(3652483, 81527611),List(34025677, 4450841),List(9348666, 65833928),List(6186480, 72328966),List(61979721, 68021493),List(11722099, 46766572),List(36043048, 97617115),List(67254834, 86068927),List(16028318, 78992821),List(47574408, 22588178),List(12937618, 9781225),List(48318534, 23456541),List(52283178, 62480507),List(4978982, 49911481),List(60592734, 88624827),List(99245465, 59103154),List(84906911, 53029356),List(23526896, 25542106),List(47912177, 56261786),List(22972103, 7618139),List(18380203, 85625219),List(59409988, 56742051),List(77024086, 1254535),List(87419593, 36965628),List(18088681, 37565550),List(83178156, 40209169),List(99502594, 86484215),List(8098166, 93009400),List(42210293, 63654136),List(59529233, 98185432),List(62429486, 49402525),List(43680165, 70061987),List(32796259, 93068918),List(94844108, 55469990),List(22046915, 29951211),List(91735721, 75425498),List(25105480, 71005820),List(46735592, 52111201),List(34322548, 66510085),List(11187188, 84411172),List(4662487, 64080339),List(54810698, 41675866),List(4045873, 46087082),List(53246582, 64287948),List(90236680, 5321181),List(61168811, 73018183),List(77667882, 55432281),List(9387647, 79102070),List(24637946, 32210181),List(82850510, 74966913),List(1701927, 75101777),List(44334509, 75094624),List(68112621, 94818551),List(13164494, 65949565),List(47242643, 75243543),List(83565151, 84292881),List(43784024, 42280750),List(79517065, 57895835),List(57668605, 46946100),List(62333615, 51604785),List(57279280, 97042011),List(86957096, 58735785),List(78214712, 35119368),List(29596329, 71618329),List(97020186, 37344769),List(74350970, 13811103),List(76281432, 73822712),List(39270202, 70221352),List(1599694, 4102090),List(27159390, 98686735),List(54449715, 44561162),List(28153504, 20713965),List(80902975, 368226),List(37012127, 20767239),List(33604790, 66775131),List(79869876, 80393193),List(10454021, 44943622),List(46939247, 12866884),List(23833742, 94992341),List(64657420, 32524918),List(55131228, 19713391),List(13517945, 47860819),List(30500585, 73689432),List(29347644, 62711819),List(32690912, 71344172),List(84020353, 20726646),List(29839916, 10707011),List(11337809, 32495725),List(53376301, 6639310),List(80793203, 6635),List(57124977, 99645217),List(77011331, 20769307),List(68786519, 43869705),List(483260, 77842223),List(1312990, 43574200),List(99724925, 85762755),List(79494744, 67888382),List(36828062, 34727310),List(57560530, 66291568),List(43272312, 65845676),List(87711135, 61972757),List(73912728, 88075109),List(5464804, 86960108),List(81324800, 46947637),List(37628186, 24041633),List(81429799, 40933469),List(99711769, 60164298),List(54715793, 46928480),List(56304282, 15630382),List(76577113, 85712775),List(71723783, 78666946),List(83827311, 71445784),List(62836878, 95999714),List(67552991, 79906084),List(3489655, 56656250),List(37397898, 60629754),List(6548560, 75731006),List(55323091, 47559856),List(49361386, 65245100),List(87118648, 3719238),List(56609924, 13745916),List(42510608, 20117990),List(81362101, 94946153),List(95130706, 73544445),List(1342851, 41427183),List(72475556, 95368978),List(28081611, 56029069),List(84199894, 63108185),List(50107717, 90983169),List(29413593, 84856141),List(54986390, 40100953),List(77875880, 31719071),List(84778993, 75326785),List(97228728, 67357011),List(44834923, 655869),List(42089844, 48754424),List(39329165, 2406921),List(10724087, 3834199),List(3388834, 61699619),List(83265711, 10729060),List(13696376, 47797585),List(49686880, 9103815),List(68634217, 1926569),List(94584789, 35679933),List(74754292, 79425433),List(24089591, 28534326),List(34661745, 64004423),List(96197237, 24367718),List(60786982, 67015655),List(11234085, 40885044),List(71241443, 32619664),List(93416980, 65873188),List(39194430, 65208272),List(15968168, 40321400),List(13737941, 52714733),List(67121023, 34439785),List(10505567, 90380314),List(6220530, 43342313),List(32884611, 43066179),List(61659314, 26052081),List(40951785, 55611479),List(33268747, 9114838),List(44042647, 53564804),List(44115484, 76187642),List(39125629, 71436155),List(62034670, 8823025),List(60011788, 8912781),List(54531361, 40735019),List(32152762, 13324355),List(15087262, 30405441),List(48136889, 24536995),List(22000877, 80353790),List(1906649, 56929915),List(50046624, 28556490),List(31132205, 48199268),List(40088852, 83263425),List(52891503, 98215660),List(4051020, 28719185),List(79981244, 92751431),List(30612720, 86131824),List(6442405, 50367187),List(2965832, 64674812),List(58500335, 92626721),List(92501753, 61332074),List(40590805, 71430036),List(93242478, 9864243),List(89540522, 46927819),List(69146028, 88545091),List(18137706, 69111841),List(10199158, 46516627),List(62767755, 54619208),List(41885805, 4572116),List(16703963, 85056917),List(69365051, 93120552),List(81729301, 86576666),List(22328643, 75172547),List(85477190, 3873853),List(5232710, 72782279),List(99851555, 82330901),List(39237289, 12710424),List(49079870, 99645013),List(70870312, 21334680),List(80038036, 19959484),List(17845302, 15947944),List(45919393, 71206720),List(29036155, 18658600),List(992589, 42739982),List(50483295, 18049291),List(33388634, 86220761),List(56684623, 33167987),List(44676931, 97015122),List(31589903, 64917348),List(13322195, 29583196),List(78493065, 96969953),List(48935874, 11628358),List(89277531, 48078750),List(75922851, 95982609),List(74615639, 47867953),List(72700666, 45160750),List(18656358, 46010082),List(97488703, 34162715),List(7108949, 64436019),List(49701278, 58090090),List(32689252, 6923390),List(96034243, 46749658),List(33226503, 42963000),List(42460947, 1122801),List(60886899, 59747329),List(30965673, 12153728),List(58645772, 77177069),List(57788702, 47808472),List(46791015, 71683411),List(11359109, 2542323),List(79790826, 77931020),List(47619983, 12863438),List(52191524, 68896758),List(7271729, 40283286),List(46868793, 1471129),List(21147362, 20574332),List(94254010, 73897053),List(89512321, 51797713),List(24683357, 43887185),List(31093595, 51249731),List(79684845, 50051191),List(94654658, 18537399),List(58841562, 12658428),List(94193139, 98916184),List(16229072, 82526713),List(42587274, 71003760),List(32352962, 41938935),List(71265926, 33182701),List(289401, 74141355),List(24160297, 49149521),List(94387629, 80819474),List(86123049, 94893148),List(5506313, 71384361),List(2842636, 34145801),List(19203323, 60576157),List(66783859, 52236626),List(9658867, 22302399),List(22082601, 56702574),List(76788108, 23857615),List(89929609, 85717495),List(41969235, 85936898),List(85963026, 44991504),List(51703556, 37621340),List(95521769, 7699695),List(567535, 81033842),List(80612811, 16461238),List(89837104, 29804302),List(55423109, 1271094),List(51296455, 6153381),List(69334469, 17851873),List(11924793, 42855400),List(73901522, 18439121),List(43662504, 92403500),List(19677494, 52441710),List(84712399, 46771485),List(93286325, 1003523),List(47499037, 89925066),List(5351275, 58894876),List(97655070, 25595581),List(36507637, 91139120),List(68011991, 6798886),List(99520080, 94178879),List(24449417, 29716197),List(29917716, 74640031),List(9639234, 9360477),List(63826561, 91111648),List(27265568, 86069094),List(35065314, 15161891),List(44954468, 94212631),List(20391069, 41069774),List(2325622, 35471731),List(98552325, 78742094),List(38186163, 50354043),List(50086892, 23881753),List(76529988, 10740101),List(73685200, 12090319),List(75593076, 79623701),List(18234336, 28894541),List(48127621, 4805828),List(60922216, 48888245),List(22002812, 39892769),List(98058191, 56668554),List(91687720, 93379303),List(49113287, 75304693),List(26466975, 72953565),List(4580468, 55365857),List(60801097, 68295319),List(73340345, 93702766),List(7025346, 8167078),List(22246056, 53367049),List(19343671, 77760004),List(92784223, 93956844),List(13987165, 70029844),List(41987579, 79178616),List(86928853, 89243238),List(91266000, 26097246),List(24832505, 66243270),List(7785155, 88463385),List(65939207, 16887673),List(575038, 1395043),List(9707420, 72974725),List(88980851, 25733694),List(10183041, 45920096),List(74350581, 79595542),List(33903406, 2066007),List(66396076, 9508033),List(84049280, 62313738),List(44273006, 11156137),List(54276208, 97231849),List(88833958, 1069021),List(78429845, 94032135),List(28325267, 75029878),List(88839774, 1154562),List(39974448, 4698449),List(48700090, 34800884),List(49888554, 40015778),List(82785195, 16914510),List(12311123, 30247673),List(34037941, 58194503),List(56620572, 72263824),List(55688716, 51653060),List(79250695, 65479865),List(57210207, 93132111),List(65872303, 21276661),List(24888836, 2278364),List(61074888, 35701089),List(30397272, 77499005),List(59652745, 67687132),List(46994030, 62918110),List(22376455, 21869723),List(12784644, 60402383),List(63156577, 64559787),List(84980324, 4332612),List(75031181, 31016445),List(97312457, 72982182),List(34241300, 3820625),List(37068395, 29906892),List(45414486, 76025513),List(53033981, 77729443),List(27150672, 37191090),List(36624080, 78757037),List(3687768, 32002405),List(93823877, 13711877),List(44657983, 59573339),List(21230862, 35359040),List(34716569, 61182673),List(58426920, 20397673),List(2497774, 25173412),List(51796525, 95385151),List(38822333, 64671046),List(44104160, 53050247),List(85647698, 69532797),List(36082737, 11080799),List(68510851, 47516987),List(94887447, 90558314),List(35387474, 2164038),List(79078111, 21161207),List(27334414, 7037202),List(16467345, 54888323),List(30799691, 25851076),List(15496697, 70257605),List(30046190, 68794768),List(32062882, 87312971),List(24227707, 43764860),List(16598269, 65322269),List(70820084, 94832508),List(12827075, 63160251),List(17342549, 28975511),List(4239445, 84181005),List(92799822, 3277258),List(48109185, 75334167),List(33818118, 61835827),List(59204402, 94526853),List(32082089, 26460231),List(37678876, 21754394),List(73774658, 45263970),List(89613134, 16515570),List(65541184, 25538732),List(89810099, 62763916),List(3781057, 91716397),List(36761184, 79370704),List(34837989, 48551635),List(53836569, 14637946),List(78143143, 49664855),List(58212916, 34192957),List(21271634, 66898911),List(71474249, 63680885),List(32209675, 24396721),List(90087074, 58295926),List(53385474, 80214776),List(6358576, 93542271),List(22884750, 24690547),List(97843744, 68783017),List(17486436, 82086101),List(96733543, 25519937),List(88742106, 8290551),List(51608487, 18720750),List(7322021, 24079650),List(14336768, 25902094),List(57263661, 80687780),List(28790691, 66143731),List(20648093, 47074622),List(50754676, 63088324),List(56227310, 35460267),List(17094432, 85850217),List(74880379, 6486352),List(16978100, 55974284),List(5971682, 74588052),List(38967057, 95089880),List(18064578, 87112724),List(27929176, 56924642),List(74219109, 85303033),List(12718583, 25842468),List(67336399, 46985407),List(85615791, 79839826),List(23938157, 94891573),List(48085969, 6967250),List(12273874, 85908589),List(73340468, 78080001),List(58964754, 97238521),List(9790435, 79213334),List(40133949, 44198814),List(89297123, 98063735),List(76556369, 15823668),List(4001406, 90126817),List(5458212, 25508487),List(2460340, 88989019),List(86416586, 13006241),List(49341765, 23406339),List(53614525, 19624212),List(87163404, 4341071),List(34684788, 29787304),List(62613114, 95588963),List(66045572, 34150393),List(36901970, 15872291),List(85360041, 81258322),List(8860245, 87727296),List(88636177, 22706104),List(30371080, 30878653),List(89883725, 55636952),List(38950984, 8173635),List(67898694, 82180430),List(77899422, 78053357),List(67750564, 1181227),List(63882838, 96679445),List(23059086, 67462580),List(64642550, 90008466),List(79453325, 31724748),List(42265573, 7787863),List(37255026, 62842585),List(47753017, 59152182),List(94784845, 29872762),List(33536851, 2252191),List(87602880, 53839871),List(76053545, 39387194),List(67760289, 39637482),List(18087763, 73652742),List(43663003, 68157872),List(20995500, 71815390),List(34477512, 6947474),List(32573499, 64896099),List(36033605, 17594358),List(25951415, 84743121),List(15652256, 96615892),List(65089280, 66252361),List(14480058, 90380959),List(15231832, 44787126),List(4875672, 78315155),List(9085395, 24446098),List(30224870, 87536301),List(75649654, 18539834),List(91985936, 51485861),List(60858498, 53050378),List(88880069, 47000629),List(26858767, 23023932),List(56018725, 50879614),List(82494217, 32339039),List(39123564, 33950112),List(3830212, 77888114),List(65941835, 59870385),List(9637125, 18968690),List(43024615, 36048391),List(79570415, 21351830),List(46911473, 9756861),List(86997989, 59280461),List(34068384, 53694182),List(49397986, 8222951),List(7106622, 58878544),List(29267109, 53714382),List(76579, 67952309),List(93254454, 77539981),List(17675301, 75607126),List(86852145, 18652909),List(79034624, 54860034),List(25999589, 41128894),List(40657994, 6517897),List(4523142, 78704683),List(47798324, 83900743),List(29600628, 92875650),List(43416020, 28778834),List(95097857, 37093370),List(1516906, 19673720),List(36899084, 17558385),List(24716771, 52940696),List(30067436, 99069112),List(86264480, 48142738),List(31814986, 35709474),List(48270674, 90571486),List(48408275, 57874390),List(83107488, 15081987),List(92267142, 51817486),List(57661192, 26226626),List(6210254, 20254084),List(52171376, 81416123),List(55821727, 38487667),List(68700667, 79186575),List(56823605, 85293053),List(30553628, 12378304),List(30144727, 38588157),List(99289992, 62334681),List(40918454, 73646665),List(61111796, 38682523),List(61522111, 74343312),List(42822426, 65344786),List(77128387, 42007727),List(69754507, 17489543),List(70758852, 18616177),List(80879938, 36680208),List(97631489, 87097775),List(64936690, 43492058),List(27170319, 24485489),List(70742836, 66484180),List(29260740, 41062251),List(48131228, 93171640),List(1402767, 61835715),List(93721621, 40563426),List(86821259, 12133400),List(17911912, 18331258),List(14986739, 27074883),List(14815866, 25135959),List(70970295, 44605376),List(79964941, 44563489),List(10263330, 98442818),List(65636533, 96726350),List(42578634, 95096989),List(51474852, 26633486),List(75665601, 9467606),List(37207132, 44468713),List(70761613, 71724152),List(22642588, 64090514),List(13017025, 58482485),List(17611250, 40232129),List(7595709, 20601219),List(50911484, 76762956),List(21795614, 45132400),List(26590104, 5030585),List(8476275, 69885700),List(9473566, 64207037),List(80848916, 21010105),List(26780134, 80813971),List(12507135, 67183940),List(42708227, 47166722),List(18979176, 41641119),List(27661061, 29592083),List(82285825, 75735468),List(20262203, 24559647),List(12377170, 93087479),List(67267034, 75063523),List(14041951, 88843291),List(59635077, 63002465),List(55765634, 73956322),List(23771649, 47865201),List(15317909, 91443658),List(41665134, 25789183),List(15002352, 36902603),List(84506214, 9866065),List(90363972, 57823359),List(31974843, 64888201),List(6766164, 2996364),List(57965684, 10758043),List(15708184, 45943425),List(26121864, 54796170),List(29716401, 17447903),List(29968366, 72862139),List(37630343, 15481200),List(39465569, 92869442),List(1037114, 95427159),List(35535814, 91251755),List(11342117, 23827266),List(48079013, 19851603),List(67169803, 16634267),List(80779926, 38754207),List(73851027, 89369727),List(96600518, 41704803),List(73935101, 25261292),List(76040338, 62558848),List(50128975, 88863415),List(58312177, 39392378),List(16445265, 55892004),List(2491779, 26438282),List(21904611, 29349263),List(60230301, 90672720),List(96420571, 5641349),List(70607133, 70653782),List(68037841, 15685062),List(88491755, 19546147),List(60771935, 84435343),List(61111674, 46815812),List(52209512, 80771606),List(94912010, 64515336),List(29150898, 51690893),List(95922980, 10245303),List(54089714, 65106237),List(91665695, 43051200),List(16321458, 34491152),List(47328547, 91392925),List(70456769, 11653545),List(76139511, 44238527),List(96352059, 36936008),List(21355379, 10330350),List(13692957, 22359619),List(72205236, 83467528),List(43621291, 63023231),List(60811996, 85350682),List(14085258, 41922289),List(97944440, 59357211),List(20258043, 81599166),List(80449020, 31310556),List(50797972, 43554054),List(15794914, 78558530),List(58743773, 87253735),List(85560746, 82453300),List(72113390, 97526657),List(38003009, 29466289),List(94182378, 39504919),List(29841422, 82103210),List(2173055, 41557285),List(35914523, 66417633),List(87579280, 76396084),List(55227874, 14071718),List(73131266, 94389038),List(66956313, 14159058),List(25560536, 15213053),List(9370660, 25963889),List(98369535, 30016827),List(82634705, 60698359),List(23671558, 43970508),List(84514446, 23694016),List(26240742, 68615373),List(57222173, 82265669),List(25843992, 94965600),List(95299035, 73630693),List(44169218, 18430764),List(47972307, 52181542),List(6481717, 79134305),List(2383911, 58496343),List(87697676, 4608598),List(98935286, 398492),List(21446519, 6920822),List(82662651, 7213430),List(55906345, 17390418),List(40341740, 77352362),List(54317236, 158344),List(6502783, 54472162),List(76715190, 48614320),List(24874202, 15240361),List(32356651, 40352714),List(38001147, 42293397),List(36213491, 5877374),List(13729821, 83270602),List(13288503, 33144204),List(30339385, 87320546),List(42413753, 18409719),List(85063936, 83414071),List(26941848, 13978980),List(30607759, 58932153),List(8795963, 97172317),List(72485671, 3633881),List(86418057, 53010968),List(14980099, 92386228),List(83289680, 79184089),List(10668691, 27559398),List(37742044, 27765101),List(10946996, 25886026),List(31551530, 49564417),List(9803244, 75208738),List(66712864, 70457282),List(33890676, 57785385),List(73973576, 40628442),List(4979795, 37236924),List(82194993, 5991858),List(65605523, 22511091),List(66434798, 82307550),List(54121527, 6813195),List(16646389, 15205460),List(22384849, 29605403),List(76844546, 40031578),List(64021209, 6018141),List(87974256, 68260917),List(60076583, 21779272),List(71072091, 89281937),List(16722187, 62885967),List(53530770, 10857165),List(66976479, 79303228),List(50757720, 20272824),List(93612627, 33676118),List(21526386, 84214733),List(3709438, 54040800),List(69517280, 39864823),List(38251780, 35921825),List(65472533, 88079263),List(24865350, 5040593),List(60478392, 63211660),List(6796185, 65267427),List(62543865, 78571272),List(75463684, 14690352),List(55610353, 22445244),List(58025988, 36111922),List(80394252, 14061201),List(61116091, 95237491),List(69955482, 65835507),List(87147909, 24253234),List(21526340, 1405635),List(56267743, 30251330),List(25962583, 66717205),List(76695147, 59055790),List(71779440, 44780111),List(32451671, 40353711),List(77887440, 34576870),List(45752962, 71419593),List(52012190, 74779106),List(29659931, 73793634),List(47168518, 79387848),List(91038154, 51551649),List(16618117, 38857610),List(76871932, 9683928),List(31310442, 41741677),List(16461730, 79046376),List(40834786, 97019949),List(33980984, 76598936),List(70953800, 11045443),List(20358857, 78561085),List(46702086, 85204625),List(82815636, 30795726),List(55327574, 48356910),List(75234387, 31995521),List(59242667, 23714999),List(46226042, 73601632),List(74303818, 9355460),List(8327037, 47516335),List(11952127, 95361868),List(6600211, 73746041),List(22966003, 14301158),List(98871275, 58355435),List(77675438, 65647910),List(54199868, 93674691),List(69036578, 18851104),List(77193496, 43862624),List(14526132, 35295458),List(54223097, 354155),List(93647512, 2079589),List(76185546, 67575710),List(93866891, 46877470),List(59682458, 69108313),List(20977105, 16756643),List(33080430, 40848503),List(85091498, 35545033),List(73569447, 5818242),List(13581777, 47599999),List(97939523, 63364149),List(20489590, 42902300),List(82841639, 72937783),List(81640831, 25143847),List(36954400, 38776126),List(86962984, 63782813),List(95514315, 48629910),List(51608552, 52991711),List(23449419, 85788960),List(99131495, 54685097),List(53406530, 61978717),List(22031782, 43945499),List(22902303, 98679897),List(30136235, 9405925),List(2237285, 32126856),List(39694737, 69978129),List(18164592, 42897111),List(48282533, 89798347),List(88206065, 61749442),List(70909379, 55607822),List(10875786, 46937351),List(24390168, 43948172),List(42847046, 60698135),List(70190184, 53431481),List(42039096, 38634322),List(39216924, 68284973),List(19899183, 81269081),List(23900861, 62829277),List(80103335, 19458073),List(88076700, 5043352),List(28179806, 90344252),List(60473952, 90686549),List(85082281, 6995274),List(39681928, 73005040),List(29090986, 61383948),List(48951249, 58177113),List(50878608, 67725103),List(53945896, 65270367),List(79273358, 62438220),List(58480519, 14802879),List(41326734, 79007887),List(92567128, 78960587),List(41871228, 10250397),List(52627749, 98164037),List(82775015, 75849438),List(12746806, 37916482),List(41834007, 19251861),List(93027062, 56818418),List(3148460, 75785392),List(41399350, 78460400),List(16208121, 26093801),List(40914549, 85699731),List(5459827, 93755907),List(99657177, 16859199),List(9150032, 62307600),List(97537982, 35686666),List(6602611, 9192232),List(13946704, 22249478),List(96519246, 9134514),List(95172852, 97441872),List(11197875, 39381489),List(81006929, 57701064),List(35249685, 61736975),List(51948045, 55570471),List(23055117, 85571593),List(18465179, 5162032),List(79148446, 31038791),List(62477390, 4238223),List(29337948, 68786781),List(64365087, 25401011),List(4128347, 63267055),List(67136025, 69517599),List(77345413, 53531676),List(27683684, 16028613),List(63468148, 92401296),List(9017797, 18848773),List(49601485, 33757391),List(63440920, 97564869),List(23140900, 32572896),List(57809163, 43370037),List(33559176, 13986578),List(2557231, 21938724),List(69836959, 23895309),List(52708364, 2171386),List(86408538, 21052273),List(43540998, 11666086),List(78096762, 51082392),List(54565371, 556011),List(98516355, 1256419),List(64074575, 82970711),List(5895769, 7937961),List(80125278, 76545407),List(22937849, 5850688),List(15134144, 69875747),List(43777966, 28733964),List(6323034, 89553829),List(23453459, 73980975),List(91007690, 33449767),List(95263544, 73191043),List(74162379, 77180516),List(21774687, 20758770),List(62679058, 36036174),List(54685345, 47452457),List(20429517, 75050636),List(73109530, 17328819),List(1066361, 90697552),List(3069595, 57516426),List(67980524, 50103317),List(35766223, 19536960),List(83671623, 25042027),List(31218019, 33774954),List(70545987, 85737192),List(2990713, 53147853),List(45789578, 33355986),List(2260443, 45086066),List(29063031, 89165605),List(65959036, 85744526),List(75197896, 66665401),List(88062765, 97816497),List(67248251, 50812124),List(55390699, 45923799),List(32410216, 73199637),List(34062219, 58465680),List(8232585, 38501230),List(40397530, 28348588),List(70188929, 23023755),List(6240183, 15260761),List(6067612, 75196864),List(582618, 47815252),List(72291625, 25185017),List(28634843, 44990460),List(55853196, 46140821),List(23285542, 11699213),List(68963849, 70484232),List(29030767, 18596212),List(58782644, 62441027),List(36741320, 54903877),List(68614108, 88271462),List(57681164, 99647770),List(7012316, 26369434),List(43529323, 27979956),List(4078006, 32996448),List(90146463, 63672825),List(21548380, 80118543),List(54547869, 70754636),List(96223108, 44541374),List(57851540, 33659620),List(33312416, 11867753),List(21381135, 21070457),List(59379097, 58561433),List(65361707, 67463466),List(29960192, 37955614),List(83036601, 11941324),List(82472585, 91285284),List(80588363, 27553035),List(56147563, 96321122),List(34936873, 69644251),List(30098602, 90880370),List(33953940, 99712333),List(12042503, 98556932),List(27471985, 71626867),List(31277927, 67882452),List(88660910, 26318453),List(30119213, 36078785),List(42921863, 36033900),List(73471088, 87501083),List(37225420, 95717413),List(47171337, 79490069),List(28161803, 80888579),List(79074328, 48861494),List(15162121, 73418116),List(48040747, 17790890),List(77098475, 72057368),List(38099474, 66060196),List(90358669, 27837926),List(20122391, 84578167),List(77720774, 62628886),List(25841179, 33949227),List(31046456, 47738348),List(36179024, 25136610),List(55306236, 43266966),List(20121428, 82033383),List(84146532, 76005791),List(7274936, 13450507),List(54715612, 41279287),List(35769941, 86966877),List(1816529, 40897751),List(5107640, 44903308),List(41016189, 11080566),List(23357597, 48649132),List(9317624, 2146083),List(50184997, 38234404),List(3041283, 79904113),List(95424394, 46454242),List(97962436, 15068406),List(80313377, 6313083),List(81336003, 34565758),List(76736633, 994154),List(13264193, 90814513),List(31836965, 85836380),List(85449516, 55959783),List(35476247, 48575550),List(24844225, 16631616),List(48366001, 34487191),List(25790788, 62444776),List(89457993, 74891524),List(72978083, 24477778),List(47321247, 66809507),List(5186030, 35715949),List(71954141, 68112697),List(78631028, 54685217),List(74052686, 94929208),List(81549152, 67055398),List(15902585, 3459169),List(76897462, 86424759),List(70224403, 66241718),List(78670056, 39243050),List(5472598, 1738840),List(16146824, 86933168),List(70447834, 46397813),List(77649076, 15775130),List(55114241, 46160122),List(45598229, 27583644),List(59261242, 34535567),List(51014711, 60629676),List(68664265, 60647437),List(67399823, 2443149),List(79624703, 49953286),List(73224072, 12735422),List(78806497, 80575737),List(43617727, 32716840),List(56859430, 45669529),List(97286221, 90860842),List(50914939, 82078623),List(97270902, 76401980),List(23871380, 89479369),List(44430154, 62569880),List(24923097, 45589954),List(20151613, 51308347),List(89322518, 91650680),List(46771855, 42908936),List(34394248, 97231511),List(69499110, 11309773),List(94654493, 5344729),List(59682719, 67805768),List(4496922, 28134144),List(82839489, 5056623),List(68705088, 35297388),List(72536346, 24549123),List(49232287, 67269583),List(79350968, 24975525),List(89165101, 7469517),List(47261284, 31341386),List(64484529, 98662901),List(53485213, 41898663),List(72274641, 38754017),List(92477396, 37548160),List(40160538, 76577026),List(93604805, 81353278),List(94801229, 1270013),List(98667783, 13495895),List(80615507, 83671247),List(33479905, 266054),List(80212512, 45256029),List(6402266, 79859986),List(17888644, 93757606),List(23087061, 54284897),List(23500422, 34401329),List(84331047, 25119115),List(26321775, 14662453),List(62822185, 35943214),List(72468125, 79317043),List(42868684, 57621898),List(77734617, 61430565),List(84120025, 31764014),List(55839827, 7650454),List(74024743, 86185951),List(94634335, 51978888),List(68055057, 15980673),List(59619775, 78028812),List(28387619, 44300419),List(51153214, 88861549),List(20362968, 66685209),List(20776328, 19743911),List(31858214, 77331061),List(65305435, 11114637),List(30885283, 34331602),List(14543654, 50224083),List(20619122, 74399311),List(97521426, 95618455),List(91221707, 53146672),List(94929298, 56712535),List(88715251, 7025497),List(66470282, 48564742),List(92487991, 86541743),List(75569010, 21485792),List(45537377, 87747346),List(81531080, 35428510),List(67882386, 73072783),List(71163554, 30217087),List(23431970, 91297217),List(89288616, 21021540),List(45048604, 37227405),List(71275150, 95744872),List(19726336, 58809750),List(35154531, 86229564),List(12845698, 7220147),List(56182754, 46525021),List(65996045, 75056687),List(21403768, 23657076),List(69290781, 5418170),List(2427099, 47387086),List(89849885, 47160163),List(57187016, 44667181),List(49920797, 12932121),List(17395926, 48697044),List(11994926, 49415544),List(72410607, 14845251),List(81396874, 12066805),List(76888975, 14214642),List(83273428, 84773997),List(20699364, 87858363),List(82427258, 83265383),List(59094752, 59361880),List(95707274, 25922330),List(29533169, 33592631),List(14199470, 64384001),List(52356710, 19515122),List(4890410, 17309703),List(93713331, 52196013),List(99212005, 26078674),List(17539964, 12370724),List(98023753, 75415456),List(6788044, 40329142),List(5988209, 13881925),List(54494548, 84115648),List(53717476, 15431885),List(58340211, 89998645),List(86091196, 28055251),List(62876176, 65308878),List(29896148, 13459466),List(79877348, 75711226),List(9405466, 38330101),List(64197569, 56728088),List(40663224, 67526827),List(74565983, 50632585),List(42099285, 73170984),List(34443370, 74070944),List(36566039, 20923100),List(93074245, 43317326),List(21854620, 93962672),List(51506315, 47530121),List(18981859, 31444333),List(98400488, 65410704),List(90099161, 72538481),List(78392112, 10599197),List(90145135, 95867772),List(51949654, 84522043),List(29961793, 46311692),List(2610316, 66307824),List(25911334, 65561541),List(46989155, 82291620),List(11491472, 352249),List(82393663, 95311912),List(53032319, 13574386),List(92812216, 68012609),List(47297671, 47964959),List(62153600, 28340207),List(80776099, 32868930),List(91051452, 42091758),List(7490490, 44381479),List(54576428, 37993647),List(91161954, 56507849),List(19345807, 44842550),List(47772469, 46161709),List(25833026, 86938021),List(99830882, 34770069),List(14232182, 61303248),List(31695587, 69558526),List(50192054, 64104895),List(42223528, 51238076),List(13142498, 7124388),List(30260812, 10590123),List(31462669, 30449045),List(7301706, 89473066),List(71044938, 19230779),List(56792810, 25871630),List(20162607, 85382817),List(6853027, 57294165),List(16709957, 34974157),List(33450380, 51671617),List(5070487, 69795507),List(40143648, 3427790),List(8363472, 30484665),List(87507697, 14178127),List(31021905, 25937262),List(62884760, 68256024),List(10451784, 45247697),List(79577904, 30994506),List(80903237, 41056937),List(2262828, 6197640),List(2427704, 49358130),List(78896234, 44098671),List(62992916, 12395511),List(32005026, 12135227),List(73649190, 6433333),List(82754225, 17761837),List(84463326, 48645549),List(55505320, 70788452),List(50189806, 93162200),List(25390877, 10211412),List(6035882, 98809948),List(67910521, 29308277),List(35906825, 57978307),List(9988352, 71726872),List(71704426, 57923575),List(61860473, 13224822),List(48456038, 92532669),List(82684879, 46033585),List(60661682, 78948008),List(77898468, 90267733),List(36907908, 79924370),List(7260893, 90568827),List(38561860, 14429084),List(18498381, 79598860),List(39548963, 42155955),List(93364160, 27132698),List(31167461, 26684749),List(50192209, 17975534),List(22456433, 9559084),List(69207729, 65289552),List(27835893, 46818926),List(5921869, 76700049),List(61316960, 24611870),List(79740856, 36642474),List(96041145, 70988626),List(43155392, 54362842),List(94668362, 49831624),List(81922031, 62586808),List(66510563, 76419368),List(31527512, 94835126),List(54009585, 6379125),List(95043859, 23074162),List(9719856, 51960438),List(6620518, 92219861),List(11037915, 58164018),List(64468213, 67572732),List(37113893, 1844427),List(15484645, 37223254),List(26107940, 16334462),List(43821274, 13673244),List(11870972, 63412886),List(6261433, 67803042),List(34105179, 91662448),List(85414370, 64454151),List(94455992, 82737834),List(83712425, 93552470),List(95401089, 73795975),List(76003588, 60920091),List(24440263, 56810980),List(46406941, 77856464),List(90329015, 82215467),List(61678199, 9167857),List(17981738, 56383967),List(56377126, 96430172),List(32667779, 87318594),List(23356865, 42474505),List(77408830, 9812713),List(92753895, 35044584),List(7375657, 79412152),List(36184926, 206258),List(22101771, 14233938),List(42911783, 37636974),List(28829223, 6235376),List(57607675, 80617191),List(82610337, 46854611),List(21192852, 96147761),List(16516511, 65235014),List(68228697, 88121189),List(52694316, 23422001),List(76588087, 94629915),List(2835529, 32319416),List(55437190, 90411516),List(55148432, 46035873),List(82129770, 39876597),List(49810974, 8586229),List(54306806, 19470645),List(52204637, 28707087),List(84207062, 88661011),List(21944022, 38081406),List(32273049, 96960493),List(19832881, 9356854),List(26086722, 97070775),List(23523784, 80413789),List(33744324, 50047421),List(24067506, 39731379),List(41488411, 38453788),List(3986602, 81486354),List(66121657, 12338390),List(66935851, 30050772),List(12649694, 96302004),List(58520388, 44400262),List(16494313, 68872579),List(12998373, 57408677),List(92601610, 82925325),List(41481150, 16955747),List(38049555, 45554176),List(34844934, 20906589),List(33913945, 5681784),List(23257696, 61733276),List(53185880, 95490486),List(72836078, 30717624),List(95505064, 8016258),List(4772417, 13112345),List(88173226, 98969799),List(51076916, 67650093),List(74818365, 67492730),List(75546257, 4362025),List(55368365, 3122468),List(48972216, 53932477),List(34607622, 753280),List(46807968, 63570576),List(17116431, 54749130),List(40486809, 16262921),List(97780630, 73320594),List(77891366, 33635007),List(11438683, 62104220),List(97505392, 65943782),List(73950682, 90248962),List(54311526, 62875331),List(5537762, 50691726),List(57308337, 78291176),List(59005076, 8906439),List(47564451, 65299914),List(48763842, 96458398),List(18890896, 94376896),List(37732331, 40217489),List(71762916, 68448528),List(54678986, 83938268),List(39128228, 46584857),List(41090871, 69994504),List(47609381, 79033267),List(46756097, 34120142),List(19994455, 91138250),List(46631290, 76254822),List(53727877, 4301502),List(27919244, 80496571),List(64621445, 99072751),List(96886183, 43351703),List(8280356, 63424524),List(7425001, 99127943),List(55870512, 26992644),List(85760368, 60334866),List(57419992, 95284183),List(72795796, 20262247),List(63971176, 18801631),List(30295198, 75711759),List(83715644, 19752266),List(62666361, 25781449),List(92628208, 39585247),List(37526249, 52692935),List(63230640, 36442114),List(67437158, 33657472),List(41594729, 53667494),List(69082469, 47478589),List(32966888, 77027527),List(43905610, 93551961),List(84348674, 53554480),List(66573048, 81677398),List(54531371, 73961160),List(33269964, 33161276),List(87246534, 3092384),List(59837452, 289272),List(21376739, 10855723),List(96389299, 74690206),List(39680481, 44685343),List(80300965, 18458911),List(36340422, 41727751),List(47690995, 45810250),List(56869705, 60949380),List(4627096, 76392736),List(26645499, 10903496),List(34921502, 57476623),List(97052691, 2970798),List(22476629, 99753286),List(35001557, 4417462),List(67357157, 47002803),List(28630293, 45068532),List(95056703, 88074989),List(6356744, 22341960),List(48665880, 73635056),List(94668990, 73875720),List(41804937, 89570015),List(96486307, 94964126),List(86710832, 38181436),List(85753355, 45534020),List(58383685, 23634092),List(63005762, 47790502),List(53309392, 12672373),List(31796929, 54198853),List(68800592, 95391467),List(7019156, 94623435),List(50987663, 2926701),List(40655287, 93505420),List(67002605, 29063121),List(24924603, 44933370),List(60514633, 92532526),List(59714971, 31257004),List(17247250, 24142166),List(16889492, 6083959),List(57920901, 73230069),List(15914266, 23333950),List(32958025, 69508168),List(52928769, 75872812),List(41644525, 35142556),List(67472462, 38360261),List(92408534, 10632338),List(13882706, 62205796),List(46597495, 23692966),List(81453920, 46863183),List(24104421, 97478152),List(48213183, 6624931),List(99115379, 22439695),List(84438131, 94276110),List(16610225, 53268595),List(32824754, 33177123),List(10908361, 75661519),List(91496388, 1873136),List(58995339, 20295834),List(84498617, 77665761),List(29856994, 60217893),List(89270902, 41574779),List(58142811, 53755979),List(9531259, 59526606),List(97299256, 24914440),List(34131321, 73778300),List(25833584, 7401513),List(67064323, 81171276),List(82203355, 36401310),List(21601325, 88541251),List(59173842, 14787978),List(53887975, 3409080),List(1581765, 83923774),List(5975850, 22119699),List(28395524, 49427190),List(49845470, 33710537),List(28336895, 9518917),List(85770586, 4384342),List(48629082, 11240972),List(58928195, 64283396),List(67309672, 43913409),List(33761687, 1429098),List(40559979, 19090695),List(54588938, 20435350),List(13033009, 89557474),List(61494129, 90107122),List(67587018, 80790062),List(89564716, 96913177),List(59149087, 47058412),List(31855225, 4543015),List(81030400, 19223301),List(90690913, 58859284),List(65823345, 25819343),List(67048837, 53879653),List(64363250, 68022979),List(98381895, 24784163),List(19515576, 15526200),List(33296292, 38268925),List(55646360, 18485986),List(65431676, 34668544),List(51129632, 56679780),List(68828452, 36890205),List(59134165, 50786619),List(15515858, 31267195),List(26968576, 27092495),List(14330981, 99760775),List(58229584, 42478013),List(68713329, 17195658),List(17585970, 38509922),List(87102043, 58641951),List(30339178, 63488783),List(70699056, 73983151),List(511220, 9601569),List(83980227, 8507078),List(53317790, 54228138),List(62744324, 78360366),List(5571962, 47368560),List(92868224, 51776053),List(30654861, 52771431),List(70550491, 1975664),List(95403841, 46225110),List(14882681, 43897271),List(75934290, 78883505),List(83482163, 74309743),List(41708740, 42476236),List(94629121, 49440104),List(52631551, 13419952),List(48098069, 25335398),List(36638107, 628703),List(21261196, 26116705),List(59278358, 95861570),List(96921320, 13380907),List(52139392, 57457716),List(13985074, 58922588),List(24571358, 8935243),List(21442452, 161721),List(51672701, 29360294),List(12611773, 95996648),List(52334330, 79631007),List(68103312, 79654579),List(61499511, 8128976),List(81808486, 23976035),List(69218764, 66838878),List(56015551, 85475362),List(95479807, 53077136),List(17131293, 46054130),List(41606408, 98575510),List(52191759, 75344317),List(15945599, 99126514),List(48192674, 72017027),List(52473109, 54037206),List(51322263, 43913924),List(31981205, 5761579),List(13004884, 13745491),List(65607583, 90305208),List(43341614, 74709798),List(9325196, 47385685),List(73848450, 30981186),List(51360243, 36756024),List(33375272, 42688079),List(1024235, 439649),List(2560781, 72472832),List(56181299, 34956826),List(26390112, 20984401),List(82631985, 72840722),List(4231729, 98853500),List(38019047, 32839533),List(98580299, 9539642),List(41720824, 20196712),List(11962104, 15898561),List(59665965, 12970455),List(3692721, 80653028),List(37127923, 9323197),List(9507012, 12002624),List(60884972, 13766019),List(95504906, 65671422),List(80783642, 18472586),List(32168058, 42209193),List(66142756, 83533363),List(20827533, 43216562),List(53767561, 56875824),List(73399114, 69362554),List(64376786, 9647706),List(79773983, 53926426),List(82211934, 62843916),List(55043241, 78250543),List(45128539, 41624247),List(39645186, 22034590),List(59148868, 33652133),List(60899190, 98778064),List(11318161, 97044146),List(11866628, 49492105),List(35959567, 93883381),List(1733386, 14808161),List(57248571, 11181663),List(6026465, 2165340),List(84085877, 97002772),List(86646104, 55639025),List(88035639, 20388196),List(54458444, 63554323),List(72535915, 98221773),List(37784666, 25398179),List(8106938, 52781535),List(62046520, 7946262),List(40029070, 49905981),List(57702614, 74632178),List(38888868, 23985078),List(27433377, 15737403),List(8569034, 56192510),List(18635100, 53199493),List(23805814, 47115680),List(37234896, 38701024),List(73390632, 66959426),List(27155673, 31303762),List(44239662, 45089416),List(51216512, 62072126),List(95003446, 58312206),List(14197347, 98800713),List(30325197, 53354790),List(52267402, 50070209),List(63963656, 95828976),List(88871781, 39976345),List(54080747, 64961145),List(43114168, 32303993),List(43819389, 34671845),List(13243654, 89352822),List(35002462, 52910128),List(57099955, 127459),List(93231770, 94929040),List(99166267, 49775105),List(73045534, 7358691),List(93833050, 59117040),List(97471915, 14230595),List(72151431, 19044827),List(46639898, 66785109),List(71588715, 60275520),List(63580821, 23801167),List(1939545, 3370152),List(47393098, 74884807),List(74924132, 35712751),List(25022398, 15347866),List(32026838, 17633065),List(17979910, 26786921),List(497771, 5410776),List(36580003, 64519268),List(85868453, 2286333),List(61014550, 9568064),List(34492746, 38982191),List(35717446, 7356025),List(96002681, 28974852),List(27759456, 73324328),List(47950881, 33254129),List(12315907, 92970519),List(25868038, 8411399),List(44925162, 31860314),List(93737479, 45671232),List(24450512, 2141280),List(15872405, 93890584),List(58253613, 65764519),List(11147544, 11226672),List(82909267, 88259470),List(39165063, 84920152),List(42580715, 10799125),List(37264102, 2120795),List(59419568, 63401386),List(22834313, 82956207),List(70249732, 41251172),List(95607968, 19565033),List(89928928, 19152640),List(86513271, 89656939),List(33300169, 16677298),List(66985736, 93748847),List(88652215, 68807669),List(39276824, 27230316),List(68276299, 75666343),List(29508313, 3588204),List(89676947, 51654795),List(94575488, 98562873),List(10186422, 88026221),List(49388683, 14147131),List(81338602, 53271376),List(37170872, 64296191),List(10322552, 63053024),List(47330922, 19750502),List(17717409, 73143435),List(20665547, 99411413),List(35122832, 69240601),List(61693030, 37232269),List(10090966, 18765475),List(60510327, 7566788),List(820764, 32136197),List(86518562, 44115455),List(17427335, 88690866),List(81816758, 70169449),List(16543448, 19737480),List(78285293, 26740321),List(50292835, 34858009),List(57180953, 11380709),List(54658768, 24539297),List(57930233, 92541386),List(79446757, 7653942),List(94505479, 35551036),List(40726833, 10575396),List(91472396, 86285815),List(30713647, 45231687),List(67959974, 18747689),List(41798695, 50173704),List(16044601, 60478340),List(26820329, 64007584),List(47836018, 9477088),List(95851301, 84863708),List(90435662, 43526503),List(33996946, 22671988),List(44115049, 1946935),List(7975003, 72556068),List(62252502, 63972871),List(24071428, 15112576),List(68341367, 54274311),List(23978075, 24455549),List(55987652, 32925239),List(62056830, 13398299),List(85765786, 8803521),List(64021754, 64294200),List(28154467, 43392120),List(59451402, 71305632),List(71036621, 65198131),List(9373664, 81695606),List(26063902, 15338378),List(20956587, 37611282),List(56369792, 73338797),List(66704616, 42277251),List(1270904, 63206875),List(79302128, 32754297),List(71346488, 70814102),List(69964850, 46111659),List(31797806, 38619008),List(54255701, 30194384),List(8619806, 61816457),List(59826579, 80356382),List(40442393, 48560522),List(62793431, 36754513),List(25625430, 78300923),List(83578431, 34912726),List(27666194, 97963739),List(14729989, 70599017),List(49612417, 58622684),List(37785683, 92795629),List(78751001, 17636658),List(45362273, 43242853),List(79402434, 19568334),List(13159547, 91737318),List(76878810, 96841995),List(27973215, 84278268),List(15155510, 57344621),List(57251060, 33664732),List(28364862, 41922740),List(50332394, 84527475),List(69712092, 4531578),List(20222213, 95373113),List(31346814, 858234),List(29693624, 61675439),List(31104248, 9105783),List(12094660, 42823913),List(98161134, 85721142),List(40100257, 12615683),List(46535735, 95257895),List(28448490, 67784186),List(96581258, 71204339),List(81927539, 2464676),List(85897867, 81894105),List(50662091, 43321184),List(50363114, 73439486),List(27049760, 66036162),List(76963021, 15001653),List(89515811, 41692390),List(39374097, 1398284),List(2459039, 5380146),List(31105429, 64245582),List(64055584, 38697830),List(40032067, 22626653),List(3339865, 82476166),List(31282306, 247100),List(21438582, 26825936),List(20777805, 62148603),List(47111110, 19213098),List(11445576, 60721155),List(81153784, 21347735),List(9459953, 1862377),List(63632149, 66038637),List(85816042, 95353008),List(65601735, 78778067),List(89337036, 52948096),List(74718119, 22696961),List(23016812, 66661077),List(40047654, 86985369),List(87584556, 39740578),List(41023949, 8988465),List(40914435, 56583049),List(32840196, 43562139),List(26614796, 79133225),List(10844059, 41911978),List(89217652, 60091127),List(21804764, 3065107),List(54955029, 24797739),List(54134827, 21876526),List(30293661, 67468707),List(70421374, 35655519),List(36926101, 11001980),List(12729595, 78389297),List(80742238, 41622770),List(60675792, 95648039),List(96122465, 5909911),List(24330510, 12882343),List(7390309, 59422802),List(29885874, 69316649),List(45496054, 73117516),List(940480, 62358269),List(47714296, 5916262),List(20602738, 72279473),List(69516106, 76687199),List(50345170, 30373076),List(57406892, 56271448),List(15252380, 87125631),List(67055079, 45718615),List(14799488, 99574568),List(34764975, 51695983),List(1402105, 73703823),List(45977988, 95424461),List(46378172, 25721356),List(95093060, 54659730),List(48496928, 79776806),List(74995650, 43410261),List(2647292, 80353823),List(14854466, 35360349),List(99265303, 32607981),List(16138652, 16344438),List(29055699, 51529650),List(26461102, 31205183),List(22947699, 66435709),List(44291270, 21552146),List(41957884, 29837345),List(5943595, 28892095),List(32595972, 25039541),List(91759211, 21725525),List(87551012, 84645632),List(42130334, 73141181),List(2420364, 17210199),List(17903162, 71077957),List(58798459, 41026265),List(52484871, 59891658),List(93522655, 55506199),List(36570606, 43235408),List(52365843, 45443269),List(89708411, 21053314),List(16002578, 4849616),List(63086832, 84830860),List(1248072, 35416934),List(83061711, 81144149),List(13229480, 4851761),List(27181503, 72646980),List(82438869, 22870537),List(40813774, 23454629),List(97970558, 51233562),List(83457312, 9745255),List(76142392, 71714616),List(86990571, 93960155),List(98575041, 40721337),List(3464057, 36876222),List(9326, 90242183),List(67721656, 36111025),List(43373390, 54806541),List(84389717, 69203694),List(71477211, 12305628),List(32794041, 4816841),List(91055779, 45473692),List(15264304, 37515545),List(70632277, 85965106),List(76308794, 60833769),List(56166409, 49882706),List(92887615, 74413644),List(70666760, 50986845),List(98381176, 11744456),List(37754215, 52780702),List(13718236, 84057732),List(95180566, 30146549),List(20797812, 13334488),List(67961700, 12120430),List(9082585, 48193801),List(59985189, 35594279),List(19623123, 67938820),List(31986219, 36306853),List(45816335, 9554808),List(46795056, 59150471),List(57550362, 61566264),List(69001305, 74895363),List(50958801, 12794951),List(86015969, 69901272),List(59245897, 84640800),List(93883453, 80574112),List(29846740, 80843465),List(3433473, 57153048),List(92175160, 2846956),List(29201284, 15889438),List(29659494, 8578463),List(62049639, 47042474),List(88412434, 45532154),List(55058384, 49222587),List(31812855, 25465468),List(85330997, 39401598),List(3866449, 39127543),List(52286916, 29943691),List(6679131, 19802038),List(89650209, 42226178),List(79255669, 92363237),List(80414375, 36568085),List(89139344, 41516190),List(45030278, 46690455),List(21606575, 53717496),List(92000911, 76507294),List(44576379, 10088046),List(48795094, 2435816),List(51575590, 76493119),List(73191953, 58879742),List(84583565, 58309999),List(97299972, 24226458),List(27400690, 34422209),List(2134642, 38433510),List(33043120, 96340302),List(57667937, 81437773),List(71886214, 36159432),List(43583025, 70990513),List(23721025, 20677981),List(76636596, 88924723),List(8940668, 83699492),List(2297445, 33370667),List(37605692, 45483907),List(80848683, 27360849),List(60667374, 60020252),List(60742979, 98515509),List(34936115, 61672374),List(85807502, 81479550),List(78138979, 13375418),List(895216, 8668524),List(12478351, 77835380),List(37137038, 89392559),List(8619462, 11833723),List(58171783, 34044715),List(90372318, 28969862),List(6822108, 32067666),List(86686230, 53500939),List(66679562, 66088210),List(23221477, 15803411),List(79141478, 8804544),List(20627034, 44272023),List(23602915, 4337627),List(9526195, 21134261),List(78310236, 61720949),List(13567513, 59944537),List(76037823, 1679903),List(85226418, 50393632),List(68811301, 31670256),List(78985683, 5828585),List(29408685, 37332740),List(56590682, 66565537),List(69616529, 74037465),List(99712377, 30999461),List(56105423, 26189677),List(1076850, 30440449),List(26973580, 46533865),List(43228080, 31388951),List(83401077, 93151344),List(92579092, 30370447),List(24226539, 62591439),List(5817903, 20562384),List(66918853, 95176102),List(28369873, 40481132),List(48998412, 44349855),List(10182637, 10084597),List(47414386, 55540639),List(31076042, 20376723),List(90832158, 46755543),List(67564878, 63852976),List(84936307, 33016350),List(80365931, 49586626),List(66040008, 55481592),List(42428240, 67108552),List(59595653, 30724211),List(21935418, 18297652),List(71237120, 49049964),List(25915750, 64399261),List(91496168, 42454415),List(85072047, 38874365),List(72572176, 64786753),List(36838939, 97590243),List(97965698, 34973537),List(86330266, 37054580),List(58003273, 82680369),List(82534210, 44844573),List(12759223, 67147046),List(33153251, 97899180),List(74645543, 87286132),List(90479532, 61723145),List(43572135, 32447720),List(84007959, 83744220),List(76843052, 17413179),List(89844678, 39228242),List(54638871, 55058514),List(92486196, 5230329),List(15100011, 91765539),List(74188001, 21237093),List(72901744, 69469006),List(40386635, 44244583),List(90700047, 21000984),List(22957275, 67739716),List(11924275, 19068351),List(46692885, 9624531),List(32684758, 70491013),List(49708361, 64335161),List(90790024, 75174734),List(60133758, 16300708),List(18520743, 89388803),List(14128825, 44293692),List(22500698, 65168581),List(64363543, 1432026),List(72199652, 8238747),List(53189616, 33684356),List(50330747, 8058228),List(50525807, 72669058),List(54779026, 3296151),List(6733329, 92095397),List(64147691, 42141504),List(10077956, 31949458),List(93407030, 46352637),List(30209657, 12474456),List(84616150, 18963565),List(42944537, 30776231),List(49670917, 35273570),List(57271522, 47361033),List(85698196, 31702696),List(98295903, 98462284),List(41596994, 27830071),List(86305880, 1394098),List(92394897, 40955704),List(63955408, 1427591),List(39089519, 44994749),List(5674488, 23747901),List(38230671, 76237326),List(66731338, 49818148),List(7973033, 62315531),List(920830, 58700498),List(56894797, 44862064),List(30001345, 37233396),List(54957323, 66264368),List(14977913, 69478192),List(29298038, 33956555),List(40345999, 62737473),List(90971215, 34602806),List(41757635, 6867273),List(31696363, 59019032),List(1365376, 93590339),List(31420578, 60850516),List(5590188, 22538495),List(88986765, 86151632),List(77140869, 91604270),List(21220949, 19252190),List(48066631, 36111740),List(96727489, 36596636),List(3435283, 57079799),List(47989064, 26821349),List(38342003, 88663181),List(37951380, 84509343),List(2281815, 9387913),List(48927856, 41225925),List(82837070, 32649666),List(57743611, 5192013),List(10473192, 71454631),List(80510861, 28663977),List(80096891, 11376580),List(79505885, 84620721),List(77151879, 93334207),List(28227514, 89864474),List(67659286, 10257971),List(37925684, 45280343),List(97196944, 54263588),List(45339812, 36898094),List(80845652, 56906862),List(76077737, 78053084),List(64310825, 58247396),List(18175244, 29500803),List(34432891, 23413592),List(49203069, 85629326),List(10121414, 54796350),List(20898228, 30076902),List(6744619, 36069376),List(29084954, 81690177),List(12189383, 59489132),List(5760250, 24507611),List(78774226, 1974755),List(4545761, 31487201),List(1478021, 17558336),List(46722927, 55794662),List(20361703, 37229526),List(70278224, 16119885),List(78723437, 67633114),List(6548397, 84872532),List(42325867, 18130187),List(81246010, 33289106),List(47643857, 99613509),List(34054639, 17345072),List(85359067, 28295170),List(26586995, 31665054),List(86628216, 18558203),List(62273064, 77840405),List(71970212, 23102039),List(51466462, 58727453),List(68602333, 35153249),List(70396674, 14752613),List(37985039, 40333410),List(33107052, 42681688),List(42855064, 26600244),List(21142465, 26904972),List(92102861, 69597829),List(1726704, 20231364),List(44805408, 63489584),List(96155337, 3077061),List(33650365, 26470603),List(67309572, 68215256),List(64385623, 5468580),List(40882732, 85424166),List(46114043, 11409674),List(71220617, 98218094),List(97283527, 27949667),List(93647842, 86073662),List(87616503, 96087940),List(4761601, 71845928),List(77496280, 46533852),List(79542602, 93265481),List(41063771, 63295131),List(53239628, 62356995),List(26185865, 75385819),List(62204853, 67065946),List(34858650, 84883673),List(24803164, 11540149),List(73047311, 38387284),List(22207315, 62364711),List(85668138, 66622478),List(54630468, 19046041),List(128536, 27735554),List(11189700, 9348352),List(90286092, 36226028),List(85432220, 74912489),List(99198787, 2129059),List(9616004, 66738394),List(62288218, 72575026),List(17820367, 1975466),List(60005189, 74437450),List(36163062, 55910252),List(74209448, 8204929),List(85809462, 19413686),List(68496643, 27084027),List(41897799, 38395198),List(53322767, 58761883),List(37041484, 19331021),List(95402304, 33084972),List(68935409, 17623994),List(44250710, 47684533),List(42790821, 80933105),List(53707566, 88765510),List(65340553, 60292592),List(50020752, 5087886),List(4452920, 65144466),List(10130141, 17730394),List(19594033, 97656590),List(86686860, 67344514),List(91555330, 67573740),List(49942905, 11467282),List(61210208, 92433287),List(38427596, 28969029),List(55475418, 24442392),List(88430628, 98678003),List(13850202, 42076922),List(53983723, 8185868),List(45175071, 91991157),List(35241241, 81028437),List(92835994, 57167457),List(91218395, 40540372),List(26630375, 94542007),List(34507749, 82156792),List(87998828, 87497888),List(41377150, 19269738),List(80988712, 28536586),List(87202136, 1726156),List(12745488, 98522277),List(9492851, 92362205),List(21823897, 97002901),List(74918798, 3712732),List(37725090, 67504075),List(24421027, 67682108),List(54513162, 75579304),List(18325645, 64491859),List(34764424, 54146769),List(85514252, 6558276),List(92738994, 7764485),List(48047425, 79092525),List(18639980, 8455563),List(84124054, 7898114),List(13991049, 19461452),List(93635505, 72790378),List(50568321, 16119033),List(96401459, 16447418),List(85878966, 16153177),List(62964664, 66999440),List(86344409, 62711733),List(20694558, 83192606),List(43055469, 48187177),List(13748831, 35739421),List(1710556, 93362392),List(26544892, 41677478),List(11691034, 67751346),List(19276079, 29395221),List(73537855, 64092221),List(68944966, 85022250),List(75918584, 33582478),List(56972662, 19814953),List(95221934, 20751764),List(50897194, 39496782),List(20734570, 97587353),List(80023936, 17286474),List(2278872, 19492350),List(46775541, 74604220),List(52549394, 74385949),List(66229921, 63064064),List(62898582, 25533319),List(52390993, 43934446),List(79271823, 28055651),List(43101116, 90408704),List(81277978, 38281900),List(97302106, 71814290),List(47746296, 32389372),List(86831075, 4638015),List(94985101, 70593668),List(61796736, 43054723),List(22898238, 22439787),List(25600152, 27545316),List(98436880, 10714304),List(31785423, 20411268),List(7794228, 58587417),List(21883232, 53887530),List(84481139, 30020482),List(31421483, 99903300),List(5267424, 37794404),List(53558486, 13177236),List(76435550, 48278506),List(45040747, 9189973),List(18356286, 72640378),List(60232178, 27895874),List(8007469, 84681041),List(94851238, 45068036),List(51128053, 36947576),List(28265703, 52973163),List(73795319, 29342135),List(15969011, 2872300),List(50922876, 88242646),List(45137989, 12876063),List(26012499, 71347741),List(92624984, 8494249),List(81748892, 77152210),List(73014274, 8373852),List(51810527, 41598510),List(75542891, 91424733),List(62041493, 73983673),List(79560047, 10102580),List(35817140, 35469121),List(30574511, 43516748),List(90801030, 63685955),List(83846000, 34713498),List(52478379, 2817630),List(6157758, 2200078),List(27129081, 33854458),List(36398284, 14599532),List(74595343, 39967591),List(71093688, 47209718),List(64143779, 14802080),List(39844415, 69690870),List(48788030, 71182942),List(36153830, 1430604),List(47812459, 7249736),List(53177767, 52859866),List(39286115, 41645809),List(65697276, 49459194),List(78473142, 80884938),List(80030921, 65236123),List(93077820, 97644058),List(69835434, 1938560),List(80124229, 92924917),List(76842215, 79234806),List(11163439, 68249927),List(73423640, 91992947),List(99806125, 90787974),List(89775693, 32272446),List(70700399, 58426258),List(68310687, 49747718),List(47894411, 39332888),List(5012719, 6286772),List(35091890, 99474072),List(9808411, 42543488),List(72100836, 75374162),List(34886345, 23784285),List(83327194, 71757285),List(29147905, 17464723),List(92186499, 71758234),List(53431234, 32122277),List(91346174, 86273227),List(42055731, 53146359),List(19004066, 66180310),List(57984004, 46093001),List(26389206, 68039104),List(53093926, 58650480),List(8023905, 42560123),List(79708625, 48083582),List(32694132, 10852458),List(66165334, 45302041),List(18955006, 86158495),List(84667402, 89059990),List(34363969, 15412078),List(31634221, 65169595),List(84992588, 93114847),List(77405923, 63775194),List(60475132, 95703955),List(66003307, 9319885),List(37480298, 41047502),List(34651866, 73567183),List(9720625, 41597572),List(35673943, 40819857),List(2929508, 72251416),List(95732768, 50860650),List(57005256, 34274424),List(40112571, 23299764),List(5927227, 83953375),List(39605681, 30982217),List(46086530, 39283901),List(76060759, 53805431),List(61706460, 17211552),List(52744580, 26948628),List(25318136, 51114031),List(38006979, 63903236),List(42418063, 24463465),List(95690470, 14108908),List(53447616, 79507604),List(27412423, 1231796),List(6133662, 89317212),List(37284847, 26120808),List(10553455, 44126731),List(6519934, 92253043),List(9626683, 99203314),List(44795782, 24371513),List(92047192, 84308636),List(33934951, 78142838),List(71533602, 62759755),List(63890550, 26133009),List(1363505, 12024810),List(21894371, 19426111),List(56338788, 80747772),List(66669194, 13115238),List(23806963, 78513785),List(88106580, 54855172),List(22020904, 62184663),List(27082392, 87054222),List(70197450, 52281616),List(51086541, 26355885),List(90969232, 88189622),List(73954690, 71557481),List(98013949, 27212253),List(91093064, 14275221),List(78725821, 81803563),List(40228389, 98139249),List(10028923, 20372658),List(8192119, 76736058),List(34559745, 67970243),List(34166718, 1918226),List(19802943, 34603578),List(26249819, 16229111),List(12773284, 99165304),List(77402173, 78064524),List(6188584, 14701505),List(81589429, 69916518),List(43665778, 94814375),List(42900100, 77650370),List(54652745, 16979535),List(54576338, 6179726),List(84343006, 58856763),List(64918765, 56541270),List(30051862, 19370377),List(88856606, 64499506),List(314860, 80687211),List(45538730, 83358953),List(31123735, 28876976),List(95066466, 44470357),List(45029483, 15656388),List(60046935, 48423674),List(23450588, 97359433),List(93477441, 48715172),List(42618088, 21651959),List(11410908, 37411209),List(60056350, 54302227),List(62853216, 51787594),List(37156913, 68111343),List(97681406, 11406521),List(44688119, 95108669),List(1935106, 86768871),List(93133919, 77515945),List(83006018, 61817362),List(68124164, 56215151),List(9582002, 59042511),List(33847884, 31548910),List(49225059, 28960275),List(34063581, 21912858),List(25373646, 64148705),List(6682492, 55272108),List(58946095, 29964490),List(44598184, 11418183),List(13849446, 29774409),List(83435993, 23771772),List(21504333, 85621919),List(22293245, 93374177),List(3906585, 95758139),List(62471034, 26739623),List(78492789, 89066619),List(29554830, 12225495),List(8423478, 25355325),List(28800210, 25294832),List(10765862, 71734747),List(14560629, 74917335),List(12919535, 39667526),List(77878208, 29429121),List(89361180, 40879438),List(40851742, 8958184),List(20926081, 39903412),List(78802888, 65465419),List(60560133, 25558218),List(59901116, 7696431),List(17767932, 9704182),List(20539251, 84604861),List(66690847, 1155497),List(67272782, 18242029),List(99000564, 34295688),List(54597605, 93827005),List(78476986, 66026937),List(37484814, 44686533),List(41575100, 61305151),List(48127252, 34514636),List(34934194, 80095847),List(8700392, 14585774),List(39620429, 62811439),List(92726218, 98587447),List(4891284, 20648874),List(73318098, 55263442),List(45321923, 84812317),List(24367967, 24970803),List(49847952, 34060115),List(91872315, 57397208),List(57502946, 33069092),List(45155825, 58295663),List(10904686, 4785773),List(45384418, 99916539),List(70846502, 28579336),List(17794526, 78542727),List(36373507, 12759666),List(29259305, 36532146),List(36968018, 35910424),List(90785752, 16868371),List(61903194, 90297275),List(55066228, 86021535),List(4832487, 74927444),List(4056285, 90900376),List(10693282, 26992865),List(11457872, 41233479),List(77010180, 62030987),List(9791325, 43001495),List(45095381, 760475),List(32993922, 80967831),List(58847341, 43197229),List(205985, 43214239),List(25931523, 19232404),List(21467765, 14458263),List(11278059, 44916069),List(99262286, 66412561),List(97008500, 75571332),List(32666692, 77204267),List(99153691, 35480017),List(55684996, 21333513),List(86873710, 2567348),List(99468294, 77698833),List(46699122, 88483497),List(16272312, 86688257),List(66373548, 20103213),List(83427682, 25846799),List(52318480, 86427106),List(22125204, 48208604),List(18422018, 36916349),List(52205514, 90318876),List(3997627, 12298412),List(74755972, 13927542),List(16241112, 63474186),List(47550725, 13766153),List(53625781, 43481967),List(46040267, 8775134),List(45751771, 2580925),List(11319166, 16181856),List(8996243, 13105079),List(935768, 90279339),List(85137104, 54157962),List(94897340, 45034420),List(85158798, 58510122),List(95731028, 61257281),List(18698876, 33691428),List(29634842, 88343404),List(28717647, 40442491),List(59315948, 74647834),List(91581907, 51961135),List(39569837, 20042530),List(29419912, 1474110),List(33512792, 87963908),List(46114275, 82019789),List(72398357, 85295535),List(49257980, 79526508),List(92737707, 70494301),List(47570832, 29152683),List(95138786, 78655970),List(88229115, 86994678),List(26542836, 56405588),List(81651226, 23166079),List(95394379, 96284528),List(56973105, 53752139),List(23580645, 9982013),List(62824202, 55471883),List(2139032, 25204980),List(72838517, 78641990),List(18734170, 96946412),List(27796977, 13795504),List(72925404, 57624470),List(96271691, 56706781),List(38423477, 21381528),List(24097317, 88691539),List(54681270, 39872701),List(83128437, 81167603),List(89511943, 5112964),List(20435377, 38239225),List(2364418, 51612425),List(17175482, 66895319),List(32610862, 26608453),List(57391829, 70272670),List(6598947, 55550849),List(56529179, 82949798),List(3142523, 22730011),List(12811466, 66455132),List(29521234, 25999424),List(90347030, 67821172),List(45114907, 38104204),List(63690681, 81446605),List(44578063, 38521057),List(34508049, 55444687),List(63964063, 75733019),List(83332002, 74427951),List(8142247, 71763059),List(70867421, 3929026),List(50058686, 53166434),List(59167453, 46561419),List(19680174, 7660138),List(58683012, 98576722),List(38365897, 45427314),List(75157268, 24556256),List(2492661, 3635769),List(9459486, 93630144),List(8260201, 41719966),List(15471555, 13566371),List(33701789, 58424716),List(1044825, 33226813),List(91287426, 656747),List(48954641, 9154953),List(75883046, 39357527),List(42306073, 35457677),List(22431267, 65196008),List(50149756, 66273499),List(65028295, 28430339),List(67755556, 78988625),List(18279032, 88829440),List(84617436, 6262867),List(94006405, 10596448),List(21162808, 53486868),List(76434978, 68431292),List(33749908, 9670847),List(73031801, 76827539),List(60539876, 42060717),List(68030340, 18720935),List(97736961, 8993648),List(26794589, 56514109),List(75745949, 59851359),List(93992903, 44683147),List(57293070, 60888586),List(91187914, 1942296),List(29399215, 97321781),List(95902368, 63893950),List(69501506, 10390534),List(25962910, 36955541),List(10582620, 84650680),List(33699456, 97749646),List(30740153, 55154158),List(97885513, 18943709),List(98615088, 89894359),List(80799566, 72177371),List(14079294, 36951929),List(17176707, 79801332),List(94306059, 27031516),List(41714731, 52241830),List(76835579, 41031692),List(79963273, 47993255),List(68715055, 41667347),List(63757772, 92613119),List(44813806, 20700595),List(74323447, 53905005),List(62690351, 78418619),List(67884041, 49529106),List(90734771, 50353624),List(78731469, 85207531),List(68804049, 46205435),List(83519597, 78092226),List(53138753, 70074093),List(4761226, 15081725),List(20492034, 2690653),List(79434076, 63250616),List(33633298, 34058533),List(69870227, 88042813),List(87076113, 62640649),List(65798168, 63433224),List(66251313, 44215822),List(42939097, 17651904),List(6818842, 89427243),List(81149950, 66469962),List(48158847, 29610499),List(2841588, 10198555),List(20332414, 69797594),List(82638441, 23134599),List(38921698, 50548992),List(89593967, 39693735),List(46942368, 15480073),List(34779112, 30309147),List(72834866, 85446638),List(7545877, 77699970),List(67580180, 332074),List(72514435, 77041032),List(77734618, 16328447),List(10991911, 80495167),List(83239407, 84198068),List(66204324, 5991238),List(58231181, 70069569),List(67596541, 92737045),List(76703335, 72461558),List(67148236, 45451758),List(16311213, 59242369),List(42258906, 38941858),List(35602221, 13757422),List(83217598, 75262782),List(15554916, 42422478),List(34359553, 33972136),List(74769475, 64147107),List(98387255, 79364889),List(44818104, 22358075),List(44569578, 52920965),List(43413664, 19384057),List(26892673, 78791737),List(99791796, 8592455),List(91719693, 73079920),List(56895461, 33670172),List(7586862, 80228912),List(62890290, 40375629),List(77630498, 64320593),List(92220470, 51123004),List(42454465, 45359112),List(79169502, 32798207),List(95678484, 93907026),List(20876144, 39895858),List(37174062, 70977994),List(37661969, 34508993),List(43995511, 14119258),List(88996353, 71001142),List(50782414, 9793042),List(73146743, 30407007),List(17457167, 50235313),List(48711613, 676567),List(78444767, 99291392),List(45658019, 7123931),List(51910878, 36451020),List(78319229, 60301362),List(63824925, 90130589),List(5097406, 77592990),List(25958597, 76229509),List(93536841, 12860881),List(90551109, 51369041),List(95167243, 88323552),List(70573264, 33649984),List(3825930, 76165336),List(44737607, 64024880),List(89261472, 8836617),List(6988705, 19885127),List(4763113, 73514052),List(89247597, 54482672),List(67918962, 75355555),List(14377652, 46443371),List(81851017, 6714394),List(60306713, 26903776),List(44909485, 22468278),List(83572604, 10512178),List(40626589, 58261495),List(37166078, 56414178),List(25014751, 95085191),List(39298683, 85697276),List(1705710, 4462085),List(85010991, 89991356),List(51171079, 8850173),List(84195094, 93405169),List(18055592, 42264398),List(51001517, 52076336),List(81379690, 24410164),List(21340717, 27758483),List(60228424, 58955441),List(72434260, 90534710),List(1435592, 68508563),List(45138300, 77080692),List(80020214, 95951439),List(44357951, 5567731),List(65124368, 87716432),List(77822202, 55739700),List(73953229, 9207558),List(29211371, 62498524),List(5991811, 81800932),List(64702216, 19435668),List(14512503, 74148041),List(5903546, 82949603),List(26354246, 86430229),List(26697377, 39243772),List(78779614, 3472222),List(14935618, 59128457),List(3462909, 511747),List(75442083, 58738275),List(44972755, 37829081),List(16920854, 17995349),List(28716322, 58796764),List(65345132, 41142856),List(58299477, 61541993),List(33445024, 64243046),List(95926060, 82353195),List(66431185, 51303061),List(79422929, 26360832),List(45391846, 17587792),List(84758202, 14171903),List(39120603, 71082855),List(52326003, 69005737),List(93080626, 77727962),List(97828537, 50097749),List(82897192, 97841151),List(75839080, 55145372),List(30548962, 56560110),List(46571082, 45922406),List(96488025, 34583741),List(4915947, 74588224),List(2060964, 92047465),List(21009453, 66393807),List(73053318, 45894663),List(69645221, 50941131),List(45017138, 96439630),List(56865865, 75370248),List(93243251, 4218929),List(65816938, 26961420),List(46185221, 9762350),List(90543114, 40574814),List(56274119, 6486864),List(62975669, 85799179),List(3207460, 64314008),List(63552250, 57523847),List(59804571, 38243651),List(5665714, 67843448),List(96684936, 97209124),List(49587331, 63584018),List(89578644, 40042051),List(11405820, 7753631),List(63643485, 61244583),List(42579169, 63645962),List(33386959, 69037072),List(26036577, 33301337),List(26936749, 16036440),List(99963486, 2678314),List(57631194, 83542527),List(84135830, 40951652),List(50314863, 57819429),List(44815524, 52320269),List(79543959, 56306466),List(17159351, 11932409),List(35193570, 53241918),List(58929389, 55325349),List(62269154, 10221168),List(73779717, 63765800),List(8283010, 978307),List(76419552, 41940066),List(56319575, 26548376),List(51158917, 9791139),List(6951074, 65504287),List(35935355, 60501829),List(85664161, 39106662),List(5502641, 62906844),List(65597135, 45901512),List(41022067, 22982974),List(21894135, 19055159),List(87555273, 88764730),List(73458414, 57245816),List(75809313, 45582728),List(20295727, 20817444),List(19895359, 51094754),List(45257345, 75275523),List(70082477, 84804450),List(84304493, 84786276),List(99769628, 74945861),List(92492164, 40850418),List(75447863, 31510935),List(4183711, 80819768),List(86024018, 34145573),List(41168243, 99699310),List(64665228, 18606707),List(75110942, 54932610),List(8134316, 40506385),List(33820530, 55182517),List(9041044, 1900158),List(17401798, 37043642),List(65237871, 18498458),List(77283526, 73158181),List(45834075, 75306225),List(22899019, 48895284),List(31749180, 79620597),List(89536996, 5970709),List(25930823, 81618015),List(87353535, 42025863),List(61487964, 43061596),List(28456553, 85043883),List(8746802, 24551204),List(79293394, 74908860),List(43510805, 96110145),List(70109654, 3071681),List(14217948, 13233850),List(8248965, 3617995),List(13114480, 92067931),List(49528177, 93203088),List(28621845, 66164812),List(24005815, 87425127),List(70351855, 7534759),List(14054957, 9998546),List(36141404, 42457329),List(65363211, 87709158),List(52694874, 75198987),List(70721523, 29015811),List(27438777, 31857538),List(62625565, 88724913),List(86958180, 37152232),List(44027559, 67052233),List(17652484, 45833868),List(22931903, 3222738),List(62042375, 5104151),List(47513476, 92636592),List(16119888, 71612466),List(81529968, 10495968),List(81126474, 22597131),List(39750306, 13256618),List(29715009, 36087561),List(99041024, 12858409),List(56270801, 72953492),List(88928442, 19344651),List(5306318, 98219776),List(96240483, 65758506),List(91231685, 96043878),List(9893997, 78277849),List(2168396, 24904152),List(40008128, 44805920),List(84369072, 58834353),List(99450306, 41309490),List(9386277, 67898017),List(21674418, 65983291),List(37055204, 1661945),List(38273662, 81173961),List(47662237, 29230398),List(73685643, 92211522),List(67801779, 35973854),List(31807320, 61381619),List(80328461, 38633241),List(84894024, 11499623),List(56605004, 25504751),List(27962502, 62165153),List(68288817, 62048868),List(95493630, 71828420),List(47730902, 38800234),List(12155218, 22830726),List(71653205, 72638116),List(67960424, 6911944),List(99365335, 23924296),List(22653352, 99084298),List(65520864, 79051940),List(17738589, 82122619),List(3545254, 14005535),List(12526939, 6729669),List(22068017, 45824164),List(76640917, 156473),List(97652704, 13600182),List(90728200, 12996443),List(20308356, 83702410),List(55956223, 24406474),List(48873742, 85844690),List(23300635, 51190669),List(86361815, 68695234),List(16927052, 9713390),List(14310721, 89161815),List(86778891, 29153093),List(86332635, 72602261),List(67545954, 86289797),List(48464471, 86082255),List(44573527, 34730150),List(70932270, 14415891),List(83977175, 76077438),List(53219489, 23386282),List(95061466, 95360696),List(96282612, 17268513),List(17691145, 63654920),List(26595064, 98175284),List(45592427, 16350752),List(86813875, 53575479),List(10994167, 71565141),List(10137847, 57679912),List(31240355, 13432907),List(16446156, 92227336),List(8853765, 57457687),List(11023401, 14466357),List(45276778, 23215992),List(33554506, 11250312),List(48479646, 80896281),List(25648047, 95167038),List(44227245, 3465589),List(16416369, 66570706),List(20709785, 27573471),List(83021348, 86064486),List(75695753, 99742044),List(59684639, 31865112),List(14346888, 15896293),List(30004123, 56216736),List(46245758, 11298135),List(71914094, 92497668),List(15535319, 99808799),List(62338713, 87613622),List(66404816, 6236775),List(37163612, 71563711),List(37161945, 13049019),List(95836448, 99738721),List(44053297, 92594018),List(71222136, 79843020),List(46723036, 50162077),List(42428281, 71746509),List(61807836, 64133466),List(97067037, 9262720),List(8817371, 56529385),List(97770938, 49991640),List(97589079, 97846301),List(18687168, 28475464),List(53576458, 56343259),List(26479213, 40702318),List(53660671, 52988699),List(95937864, 15825245),List(8873295, 90664629),List(46191713, 62633434),List(77553950, 97770193),List(81445412, 73245846),List(38986854, 84995071),List(55566241, 40531310),List(60884008, 41206558),List(1349034, 51887469),List(9116831, 66291816),List(50307199, 11724122),List(91116136, 69354650),List(79196621, 81920297),List(22535424, 60536894),List(73866182, 37890985),List(17415663, 69828711),List(70241870, 2328139),List(49521790, 67124702),List(77002128, 43106284),List(5344892, 62818094),List(43068391, 59224899),List(30891756, 49574560),List(65021657, 17900757),List(65234413, 44632715),List(73249614, 81583247),List(5534416, 83729572),List(55845784, 96503303),List(66901098, 25088753),List(65675631, 96010525),List(70108868, 23916298),List(21974522, 23525909),List(22011740, 73822790),List(47855427, 22913070),List(18096467, 86862405),List(56949219, 4882892),List(87954219, 99277018),List(25416842, 69106961),List(18816679, 17893301),List(40935670, 71407230),List(88604594, 32891641),List(46901141, 92037584),List(57214510, 50701222),List(95961805, 95977733),List(80947454, 10586569),List(97101350, 13186275),List(32897773, 86871111),List(26469234, 4107519),List(75458876, 30661265),List(70455392, 59926454),List(44011488, 28178088),List(45934843, 16580572),List(3612404, 59442151),List(62564428, 65465275),List(30250523, 49130995),List(20905078, 41459864),List(2061480, 25638320),List(47987039, 34718803),List(59082021, 34461197),List(63710061, 37841969),List(24900899, 57859421),List(31753123, 65835788),List(76047888, 45637198),List(1447511, 60441230),List(85465845, 77943895),List(57751535, 30291507),List(16542326, 73608183),List(42219873, 54134781),List(26889187, 63584072),List(48603358, 81161803),List(42897507, 6483805),List(61097045, 93690700),List(90919939, 62020910),List(50995763, 71576787),List(13553592, 28886520),List(39686840, 36894733),List(81353082, 33695574),List(66524620, 969674),List(60638127, 37678649),List(71338976, 35361597),List(73348425, 79280315),List(36674442, 56904391),List(46475142, 25591290),List(99772533, 83538715),List(79781796, 27096110),List(13313320, 21207257),List(9004378, 17068307),List(44867937, 39988094),List(90639793, 2551036),List(61186940, 29835734),List(51140684, 64216773),List(3272971, 82456664),List(18097605, 1061000),List(24518625, 89076216),List(12431368, 31549149),List(59705649, 81887787),List(51502342, 6893462),List(6012535, 56382787),List(15523546, 16081505),List(16320009, 76280318),List(17205740, 41719938),List(74669232, 59016720),List(86768566, 84406405),List(86347047, 68124366),List(86210447, 77444492),List(63126354, 51055515),List(42112392, 96325410),List(11343699, 84522204),List(97841253, 57158742),List(24643085, 34345309),List(18881033, 68674599),List(88936913, 13727331),List(14841761, 72061342),List(32513371, 15356433),List(24940253, 29508916),List(86022825, 31329117),List(55970193, 93507303),List(93511934, 91442911),List(45443990, 97678744),List(77624251, 93672357),List(5376772, 9240314),List(70129907, 6691698),List(94438471, 68450026),List(19336183, 38083555),List(96177134, 33929755),List(50070215, 63580504),List(23589060, 37271193),List(34223217, 22130963),List(40826671, 75680994),List(41635849, 57058869),List(50922686, 97957289),List(74178805, 75558296),List(27693397, 83941239),List(1155654, 47955284),List(22666729, 9762679),List(59984393, 4161002),List(89834556, 65052705),List(2504033, 50674983),List(5032937, 6321386),List(2339841, 54506141),List(17938338, 60180667),List(4984409, 45603538),List(8383497, 15043635),List(83184744, 72813472),List(73344256, 20881254),List(61201880, 29057684),List(41718540, 15056824),List(56472663, 17888640),List(5406333, 87175989),List(15392562, 89408502),List(33433237, 34972014),List(22518430, 82072960),List(51940050, 52551244),List(64532950, 25103468),List(42582588, 45362212),List(79117619, 89330932),List(35374374, 72108888),List(61835567, 75422843),List(38173903, 11860731),List(74256188, 40839424),List(40447564, 98293931),List(27932883, 74673172),List(78837366, 458046),List(59161016, 92198166),List(38171414, 13553501),List(93371912, 37021636),List(5027199, 30764482),List(93735611, 20441560),List(56674907, 2752773),List(98683512, 57561286),List(73972861, 80672866),List(63950355, 49242883),List(56867491, 9395370),List(54453012, 62500511),List(23670770, 24303262),List(56931151, 32787776),List(73795160, 5368723),List(78121983, 50937434),List(51832708, 65175924),List(54244793, 47374212),List(14097001, 25727477),List(19002779, 31018928),List(25696513, 97911780),List(25995731, 8565416),List(27560841, 53843819),List(93734409, 51616922),List(6620858, 37784966),List(25886831, 69389582),List(31859375, 61956759),List(16680360, 85530074),List(99397057, 40273344),List(48677173, 47590426),List(7744743, 50161027),List(62444468, 96827910),List(26071669, 10826479),List(84968621, 27854575),List(16343629, 49720182),List(23610221, 19659923),List(77594463, 18896124),List(2243914, 34904218),List(15585279, 44329027),List(38248909, 74038185),List(14949153, 52498793),List(46406222, 17108506),List(61626852, 39231562),List(54450869, 75242123),List(9143201, 17652611),List(50869290, 13089758),List(75397471, 45682668),List(49056709, 84804650),List(40383131, 34928265),List(33499960, 8830975),List(11007631, 37423405),List(58709673, 35074123),List(35620241, 23731533),List(66558338, 959815),List(61936761, 17403017),List(55919439, 75129267),List(56642079, 8342944),List(1088658, 85814969),List(18964250, 38409164),List(2910770, 73655257),List(72589629, 92697543),List(22329776, 46580950),List(65553540, 60148627),List(86630936, 2605547),List(70852924, 98280485),List(48297495, 9384805),List(15819507, 99264642),List(65613229, 70226353),List(42165923, 97293834),List(13566695, 24145334),List(63467145, 58531527),List(38543042, 96727209),List(87932345, 28559193),List(27868379, 43225645),List(32157338, 40772474),List(72602891, 40428088),List(88797038, 10818933),List(11428448, 81868789),List(51143359, 92917520),List(38457341, 5214946),List(70402998, 97142991),List(65763542, 72292355),List(90789008, 92780436),List(1303604, 72755321),List(22430325, 76052409),List(7787771, 43911604),List(9332053, 58030215),List(5127622, 36818899),List(7538092, 56796076),List(69364720, 76141447),List(14582342, 77022179),List(15476742, 43418273),List(30558272, 39827186),List(62819824, 32706678),List(43057181, 51533991),List(7855902, 74916740),List(4682931, 49080700),List(55953010, 89467942),List(54432601, 85641840),List(34517247, 48350782),List(96347929, 88890402),List(15105801, 84727594),List(21386087, 13843228),List(87712129, 98958807),List(42765305, 54256652),List(26901212, 62631337),List(52576059, 27218042),List(71968337, 51914997),List(97912425, 58675362),List(46053813, 22435446),List(34561349, 90197678),List(49574194, 48906576),List(8140101, 68316053),List(88247764, 98727013),List(98155771, 74965919),List(98018980, 1003545),List(52021764, 61115828),List(30700779, 83670083),List(55128866, 30427719),List(2642100, 61526065),List(44542717, 24337676),List(6873856, 86782909),List(79886026, 51562723),List(5817535, 42831921),List(68392503, 96227799),List(86765444, 55601677),List(36965654, 26065936),List(37573897, 54236903),List(11341431, 24819508),List(80330032, 90669731),List(64643686, 76059003),List(29932969, 58936733),List(64772110, 67675044),List(25855173, 7039470),List(57099285, 13147420),List(40158405, 39701019),List(61221765, 86520988),List(4291336, 34404799),List(18238309, 8537699),List(96555542, 55915276),List(55753743, 30745803),List(67026657, 28044839),List(25806806, 5385704),List(41325400, 6213165),List(76872360, 49073540),List(54125505, 40987620),List(29196710, 13255190),List(13022726, 96038331),List(85342516, 81618814),List(1318452, 86609123),List(18500327, 14099824),List(12139569, 63451130),List(58268593, 15975681),List(63233937, 19054950),List(81162859, 8036605),List(46164896, 85891943),List(49348699, 13332560),List(55489141, 37683771),List(48018262, 84688568),List(97802800, 49670248),List(62851914, 47067543),List(95726278, 75484868),List(68629080, 48766346),List(26490211, 29841815),List(36833711, 90835432),List(43204183, 64444120),List(92398000, 20269998),List(45478979, 5518917),List(59493581, 90717194),List(66352036, 52482717),List(6184414, 76439607),List(96484561, 23833584),List(39205886, 75786333),List(88716722, 4010946),List(59572949, 86254790),List(74769662, 14126652),List(77855682, 32984048),List(70620505, 55734905),List(61929301, 93881932),List(59482954, 37312567),List(45887513, 97233460),List(46597346, 82114579),List(81879798, 86325796),List(48059054, 89698637),List(19974334, 66927148),List(55562463, 2246168),List(45733446, 66289163),List(41910933, 96723890),List(22650523, 59746334),List(69908787, 88711193),List(8326550, 34963782),List(61839468, 27671337),List(76320400, 35260970),List(28025013, 9609230),List(38404364, 98749333),List(66756872, 26932122),List(92077924, 735737),List(12428716, 215630),List(11822786, 53024689),List(86694647, 1303682),List(46647422, 20437091),List(86501321, 24850056),List(24770549, 92411748),List(57249172, 57517460),List(89767580, 70123003),List(81891557, 90030631),List(50606368, 61117196),List(80952973, 50960601),List(40363439, 77850002),List(44057843, 59241073),List(27610352, 23452207),List(32790287, 54190707),List(22010965, 39982445),List(37331303, 80760568),List(7496686, 46162582),List(7949097, 54865731),List(54583785, 2844123),List(42864736, 66955779),List(61850768, 24632599),List(57003038, 61443205),List(38512960, 24277326),List(42025368, 11232688),List(63963672, 60245749),List(32912514, 23603111),List(77192984, 4393310),List(7487151, 42905536),List(6279591, 73881194),List(59604065, 18579622),List(68780442, 39947249),List(92767244, 68087144),List(95995247, 74911460),List(48800934, 75349311),List(2654014, 39543468),List(58659279, 42277737),List(17996861, 31935819),List(12928097, 16210981),List(80687513, 55967777),List(52667986, 72960017),List(92001176, 31418571),List(7547223, 46753241),List(81489830, 372731),List(29345091, 75328763),List(95560470, 89842747),List(94786577, 5352233),List(61799264, 3922956),List(69700587, 48525998),List(45484090, 81735483),List(73658538, 29612711),List(80928538, 86372366),List(31279328, 11719768),List(83920675, 98677619),List(8206373, 55031690),List(2756616, 48471295),List(49584750, 46603101),List(39030508, 11268588),List(25397076, 72096839),List(20249459, 72611966),List(49099648, 93183525),List(6585201, 35796691),List(80852951, 21503793),List(37966185, 54210760),List(27991487, 98863970),List(14758986, 64532104),List(36982353, 72786981),List(3284005, 52879191),List(91694072, 46624671),List(49724361, 5761215),List(56672710, 71425903),List(66787639, 63982016),List(8201599, 50672491),List(94568531, 63962669),List(51311037, 99978417),List(86097384, 75151514),List(7751248, 67020620),List(64304873, 41741539),List(92493071, 71094957),List(25369895, 64315423),List(93549587, 88608773),List(6901396, 1114107),List(64637273, 25836314),List(64039800, 1099809),List(65749908, 15220674),List(4263259, 71503275),List(20727199, 58341538),List(66798553, 88585226),List(18727372, 146537),List(22228114, 32998675),List(45027092, 37501538),List(68783116, 44901936),List(15931241, 96100401),List(9656132, 44689242),List(67823665, 77213377),List(20026666, 45795632),List(72986609, 75174937),List(41901198, 48734313),List(97769231, 2949170),List(53980137, 21415278),List(22930705, 64007042),List(77865255, 29841742),List(16459625, 50372524),List(96532031, 80950922),List(98681681, 80917452),List(95024358, 95708351),List(93138278, 19999295),List(70087700, 3273409),List(86221641, 86438773),List(40069119, 71924196),List(26441221, 51274714),List(1227263, 20834004),List(39911302, 87901699),List(21560932, 52464886),List(73974911, 51027807),List(36844688, 59086792),List(90914385, 32939047),List(47103300, 5714888),List(30971131, 96470954),List(71415949, 72246735),List(94862310, 86064190),List(30921186, 96917686),List(84890846, 56544747),List(18896517, 93141970),List(87596917, 81933291),List(44437474, 8507415),List(88371270, 22066819),List(27070667, 76655352),List(1127279, 35767611),List(51626443, 44101137),List(31978762, 80049274),List(80242726, 21344467),List(37768149, 54924928),List(92543814, 13577160),List(90808172, 18432220),List(39487719, 27778730),List(48706835, 35260779),List(81247788, 43434073),List(4536801, 18749207),List(2751735, 83747796),List(78446749, 41386697),List(64478973, 86557276),List(68713944, 46895804),List(97436566, 5455845),List(11437180, 12214463),List(83514893, 73939557),List(54663675, 61510198),List(43043145, 37501869),List(75880930, 92585527),List(62144278, 37279280),List(69908904, 39754585),List(93660372, 12670334),List(93095786, 70781095),List(56427487, 67878770),List(61511197, 35389979),List(19188583, 95945182),List(80028363, 38887678),List(10067213, 47177532),List(17613580, 56895406),List(28336081, 88044903),List(57027775, 80453997),List(56086450, 37534469),List(96795345, 50302760),List(24952786, 62552391),List(54616151, 74046326),List(88297056, 63595565),List(73203930, 974320),List(32528637, 32707780),List(41917155, 49992314),List(21950183, 21138606),List(3812057, 87034296),List(84903560, 41405835),List(5995040, 77488745),List(86832689, 24781906),List(34128789, 6086224),List(32179526, 72502957),List(87847569, 95588099),List(86361132, 20965253),List(20080737, 79724071),List(12996452, 31596382),List(6562906, 50743455),List(30727149, 87301879),List(37869359, 53915207),List(93424961, 91231394),List(57902001, 31718954),List(17652127, 27641644),List(91989595, 54452266),List(49742337, 48145159),List(15185701, 19492825),List(48018261, 91840666),List(51947956, 21273084),List(61126540, 13695999),List(43031229, 24329213),List(52723069, 64814164),List(52550471, 56385454),List(60956186, 42715420),List(45147211, 28948835),List(92332980, 68793710),List(94309284, 46436110),List(70655457, 90754300),List(42891059, 77616874),List(46180228, 23572344),List(52608315, 87470244),List(12634479, 85492669),List(42920027, 42863797),List(24589314, 93218502),List(15421780, 75742747),List(71737956, 38927125),List(3869013, 86257944),List(67283659, 90365966),List(66070863, 55051473),List(60102175, 29834440),List(88288894, 75734131),List(50718082, 23637324),List(26709877, 37755926),List(55545817, 2717823),List(4532160, 27217106),List(54286419, 55459963),List(68833019, 7875679),List(37009818, 69176029),List(33645628, 86942010),List(78985995, 78814185),List(70366076, 86313148),List(52011676, 39703962),List(3834510, 40014300),List(98089219, 94033545),List(63783742, 98247308),List(8587920, 48522735),List(37803072, 96093585),List(13830744, 444694),List(66755227, 79081289),List(55260227, 24572295),List(1333449, 25910823),List(79230574, 68806380),List(99041266, 15952374),List(34000933, 38329952),List(892387, 6114601),List(33761481, 32394151),List(47894226, 12723804),List(54173919, 5660202),List(48508054, 10096582),List(13998074, 29897842),List(1577527, 82243416),List(80601059, 17405491),List(9378155, 56840650),List(4221840, 4857754),List(6984603, 86995439),List(77726902, 74210207),List(39218927, 916864),List(59729025, 10056589),List(86981025, 34742934),List(84386911, 24264198),List(7792457, 28280039),List(88629054, 85504449),List(1196128, 17786835),List(38530508, 20960095),List(4190482, 35540405),List(34104606, 7266104),List(59684506, 4968217),List(72250969, 48946566),List(62335079, 5589544),List(68988078, 46535385),List(67102172, 4536842),List(89263709, 53318631),List(85836166, 52957296),List(39650553, 25883452),List(28585239, 33135990),List(13482289, 8937219),List(65648432, 92531433),List(26029766, 30198019),List(49602023, 6043302),List(49176733, 35864315),List(95314635, 33538726),List(49126698, 93034250),List(54958748, 17251351),List(54838510, 21330118),List(4979506, 89116833),List(13058661, 48192996),List(65891007, 4533077),List(60278547, 46127385),List(71914414, 94712015),List(21164706, 26238533),List(78578810, 15031233),List(34783965, 69944700),List(46017440, 80501483),List(41155806, 5907641),List(89404514, 94845997),List(2075114, 51186225),List(79357754, 62425927),List(63957832, 1239563),List(72189463, 65757246),List(98476459, 98456714),List(58909549, 53217662),List(98052086, 552330),List(96189508, 28751903),List(83758027, 75613496),List(61148575, 36051844),List(62248834, 40196241),List(10129050, 27790965),List(50496169, 55932112),List(16186085, 95020201),List(86841708, 49874452),List(16438749, 78553070),List(69444334, 37878628),List(66109064, 91747094),List(55987024, 74522959),List(28879302, 72911327),List(75662902, 6194964),List(29976061, 37338170),List(23930834, 76193773),List(283970, 34237871),List(36001996, 61417164),List(34066023, 27200069),List(82955258, 67986430),List(72722754, 75732171),List(3027932, 24134020),List(92656563, 60769855),List(30596994, 42908319),List(44798232, 40322142),List(46568432, 32961924),List(29399487, 35908883),List(36414998, 19114184),List(21168912, 27651091),List(35853346, 97997925),List(82749537, 46405886),List(90887944, 59695456),List(94584457, 57094685),List(34026892, 32397613),List(3996360, 79676973),List(21424778, 58797850),List(46717522, 8645649),List(54819903, 47601385),List(49714617, 27506748),List(68295366, 90032030),List(99175505, 43204698),List(64720312, 81370160),List(28562186, 83558905),List(79527708, 89810848),List(23945155, 49928236),List(62834647, 14238211),List(52242845, 51031916),List(20775635, 62514144),List(45393646, 43424564),List(20186765, 51496339),List(26047030, 8748656),List(70291291, 97360160),List(61479856, 11921079),List(43310936, 16028228),List(49861929, 56048644),List(33869570, 97288912),List(90308768, 40182538),List(77629152, 98348804),List(10637383, 4475691),List(19104072, 53062837),List(20612663, 90174176),List(26130188, 68837512),List(18956005, 4126037),List(8588818, 72607756),List(91946606, 28722590),List(99867837, 55081928),List(897443, 25728338),List(44205078, 53797820),List(15984096, 59319531),List(37031738, 29265876),List(46009622, 10594839),List(95082902, 91331600),List(40209721, 20955746),List(52766625, 37185827),List(71124232, 83906481),List(82449775, 88950818),List(45283235, 32479312),List(70655418, 66574702),List(92726442, 76130161),List(74869152, 98807485),List(98318526, 37382398),List(88435653, 69820648),List(10328478, 11968017),List(41272960, 16846933),List(21171449, 34876523),List(30118245, 30743864),List(22197179, 89019377),List(63875489, 81251823),List(42402352, 69096172),List(16692103, 5509656),List(2654656, 53473793),List(80739627, 55417137),List(76116280, 27947360),List(77378290, 52650067),List(26057494, 41347202),List(3046244, 37394170),List(75957236, 15908101),List(87152356, 49173612),List(27958087, 79449335),List(25934808, 62336253),List(71389762, 63101047),List(15571454, 71102775),List(28487474, 71887395),List(66616472, 37538574),List(10219793, 17983581),List(88621415, 43925952),List(84797743, 92552868),List(22343564, 8856186),List(76162888, 10620401),List(82124462, 30323172),List(78813361, 80239393),List(5697559, 84298908),List(77081989, 55234202),List(19355676, 50734640),List(87515234, 26490463),List(98135008, 37529085),List(21854526, 93690226),List(39276182, 12271865),List(67795484, 76150901),List(66741209, 20699621),List(62628252, 34709288),List(70045212, 14030038),List(49835673, 64162420),List(79581150, 45636046),List(35654345, 79830818),List(5503314, 81035833),List(36303388, 1850630),List(50168858, 15648843),List(19969763, 28277343),List(66861469, 23672559),List(64261141, 39592170),List(75053573, 33532153),List(14411865, 3336752),List(2792903, 97870135),List(6179754, 78131315),List(29273764, 23204701),List(26836259, 55421630),List(64405867, 55518476),List(82459966, 40112318),List(86190008, 10163480),List(24711320, 30268429),List(65685338, 5663752),List(73679077, 41921928),List(41304315, 23925026),List(46841098, 89298578),List(16402604, 54195088),List(83412160, 24380129),List(51710455, 91153027),List(11702852, 13469708),List(50253913, 33311829),List(62566115, 6818191),List(8846099, 34833948),List(91846497, 43315501),List(30764097, 46107440),List(85205606, 18152426),List(78924173, 55016902),List(79800237, 98282778),List(38428046, 46560634),List(50389093, 7553810),List(71554339, 37537645),List(41092054, 24533652),List(36048564, 72749923),List(97101410, 6536364),List(81725719, 7361002),List(7098809, 12124943),List(35120611, 26403713),List(58328097, 76420994),List(31915605, 42762594),List(63162521, 66814080),List(62682142, 29660370),List(11448849, 32046676),List(56737041, 85125574),List(16293133, 19217881),List(73967947, 81447541),List(51497588, 39064388),List(24395173, 78127969),List(30849495, 3391403),List(80087676, 81689493),List(41782409, 81165197),List(54025775, 83051816),List(1986605, 24248478),List(65243568, 42644243),List(835755, 95352114),List(64124145, 35436647),List(96712041, 12296731),List(24937671, 32193),List(29304806, 65390402),List(42096501, 49517272),List(38152616, 54372111),List(97470026, 89506993),List(26476174, 18962261),List(79909704, 79074832),List(37111175, 3339085),List(53752064, 28737348),List(23975173, 26453863),List(37597918, 34711499),List(58416478, 90905050),List(65894608, 96509703),List(94784588, 18333836),List(8558956, 47733679),List(71862635, 82699839),List(77990875, 62245013),List(62266942, 41072983),List(73696318, 62515334),List(27617076, 38068603),List(1031430, 88642650),List(56819755, 28326408),List(20061892, 79678558),List(1099613, 26221214),List(75485935, 4843048),List(9712881, 96345432),List(43505896, 20350297),List(63540810, 71955027),List(68107645, 51074690),List(1581620, 6173641),List(11904630, 29388189),List(59327583, 54653488),List(31178307, 78943335),List(25567968, 10524006),List(41819231, 86701676),List(32159031, 47595942),List(41469573, 26003656),List(17810474, 81980632),List(32218393, 77007530),List(70344340, 63981125),List(25936132, 95947422),List(1287465, 82813815),List(90860699, 81752060),List(28389862, 24164650),List(65169158, 96050257),List(37014086, 41299307),List(49161678, 40966184),List(62784920, 67983192),List(12769264, 79044997),List(21056862, 35384416),List(78696931, 51880830),List(74129798, 94644463),List(84214593, 86540000),List(2855692, 46580447),List(70439584, 66665446),List(888827, 43592824),List(50047656, 67029581),List(91363147, 84559580),List(42660994, 92527603),List(32547888, 16729200),List(28178303, 93256371),List(77933808, 4962130),List(37001038, 68196235),List(80210562, 2941415),List(12529589, 28345064),List(63073784, 79492418),List(75179668, 35849799),List(6279126, 74182026),List(67270839, 7083781),List(66140442, 34395496),List(10770782, 18004192),List(93363657, 2784688),List(13471336, 75179089),List(42912944, 55199202),List(86463037, 78921695),List(99876897, 22467142),List(23983774, 30097799),List(52336174, 94154111),List(42473857, 51998920),List(92216435, 44920116),List(1798514, 38569757),List(52603512, 17937555),List(58170833, 15440045),List(18136707, 67246960),List(51049201, 80027548),List(21018515, 97104696),List(56357376, 54325031),List(81206613, 50108190),List(81727981, 10298337),List(69906647, 26219255),List(77765321, 90305416),List(67705899, 6744481),List(90653071, 40848043),List(205023, 57117132),List(29625250, 52818318),List(41919050, 13524326),List(24711909, 20127059),List(64848340, 91615501),List(65751882, 35428190),List(29945088, 44733031),List(90895836, 29538094),List(3486801, 70645381),List(55264661, 17099749),List(2241874, 82345772),List(62590747, 5330859),List(24543471, 14953708),List(33291984, 12607417),List(83135206, 59193217),List(50590512, 58073365),List(86132564, 77789774),List(33247436, 40973477),List(44285800, 35707065),List(88195052, 74599940),List(9312878, 62314285),List(35534684, 23207862),List(36506352, 64009940),List(89283663, 33776132),List(69420336, 89776040),List(74753484, 27724366),List(81592468, 76759680),List(46637401, 98197322),List(97888646, 18279976),List(60483925, 31665301),List(21808327, 84497889),List(55381079, 97623517),List(20920728, 50303890),List(45615521, 94551004),List(42729948, 16168419),List(48768105, 41839704),List(86342716, 48977072),List(4691548, 45040185),List(39546783, 20775704),List(3237169, 97596073),List(87512234, 98769259),List(27316399, 91321765),List(54447845, 84017769),List(53393227, 10898077),List(64390768, 59550689),List(86003411, 78761591),List(26892582, 35485307),List(10205272, 18335051),List(64029964, 33765544),List(2725917, 46795029),List(60440193, 99831823),List(23743043, 77325472),List(12858119, 58269674),List(52165544, 91173145),List(91984969, 58694951),List(54610323, 53740100),List(95805295, 12117473),List(89523224, 4751895),List(13538598, 34334355),List(43184375, 19161120),List(86389953, 24025054),List(74660407, 2621441),List(68121062, 93330513),List(24190459, 17637331),List(12915166, 25233991),List(28732307, 66135510),List(49654999, 27916372),List(99883608, 7683086),List(90322394, 28417425),List(36535146, 48395592),List(95142499, 90484846),List(81120543, 56871087),List(18129033, 4981159),List(72502487, 50115585),List(99372919, 95946199),List(8484438, 86834649),List(76334991, 31886650),List(81932622, 84338104),List(88009276, 99941309),List(14581297, 11596682),List(55921843, 44534778),List(5105249, 92755998),List(76426001, 8097697),List(48659913, 7730763),List(66190421, 63383315),List(63593748, 74755946),List(39461497, 95724788),List(32862024, 30493241),List(2935047, 9602155),List(58955990, 90955680),List(42965459, 39917391),List(80966171, 62163063),List(50056058, 88151683),List(85332396, 43681179),List(33523035, 66399528),List(35537772, 94547722),List(10146776, 48533452),List(50823883, 27166340),List(75934234, 66927539),List(75614038, 92076099),List(36232491, 47467461),List(25297994, 85164309),List(77818312, 557185),List(85021858, 60929805),List(54031604, 84829056),List(5976636, 70985015),List(79250835, 70151947),List(2063725, 85007596),List(59258744, 63329871),List(26239064, 96258843),List(33821677, 28320791),List(9984576, 23309156),List(23622226, 38700793),List(48875846, 66986775),List(57874560, 44291471),List(72150518, 31504858),List(97601285, 68206159),List(18650460, 46928865),List(86408121, 46900069),List(4378247, 41844752),List(96838010, 20955141),List(54684342, 62266121),List(2916340, 67702128),List(85038217, 90128663),List(11257574, 27090347),List(16678403, 48939919),List(54090442, 70398093),List(22050347, 37399151),List(39877713, 60901235),List(95617264, 36912915),List(96543194, 72290501),List(7324044, 15968877),List(68006437, 94123106),List(19049770, 5288529),List(78825861, 43741580),List(44060518, 74569204),List(79303794, 30245398),List(42757941, 95370983),List(40220843, 81101867),List(55972796, 82759772),List(29101562, 62610377),List(41729480, 12053251),List(23723232, 63668181),List(44015109, 12892159),List(74193257, 67393172),List(85708027, 89607254),List(11840660, 76181230),List(44798058, 77202723),List(44097718, 57564229),List(38220203, 1314140),List(91607943, 23702244),List(49442961, 58058365),List(48611224, 47772363),List(27460762, 51975194),List(82370970, 254133),List(18710479, 11784865),List(63204891, 77318306),List(36683018, 46792777),List(61483884, 12025124),List(7944748, 23137623),List(2030863, 31444327),List(7878149, 57194281),List(71183240, 88673794),List(30673636, 56564764),List(45691343, 44873502),List(57434586, 93742484),List(97426965, 79791731),List(87682234, 81552066),List(97583078, 72768232),List(52135321, 30495365),List(35006088, 13621472),List(40469282, 54809469),List(40142649, 31339557),List(85273261, 2052807),List(11631605, 16673983),List(65074621, 52335910),List(9121261, 47569304),List(64335607, 61138441),List(90676257, 27720343),List(7819761, 64888277),List(38381344, 83233278),List(37954548, 62351557),List(30410259, 17854574),List(82686435, 99570857),List(26272871, 37797360),List(17031733, 40222167),List(67744597, 82633763),List(48752356, 59196152),List(2006862, 7487093),List(58530659, 43588783),List(16215351, 28249580),List(86419397, 13271017),List(60909634, 55278970),List(34299900, 59979239),List(13767945, 86203899),List(12847819, 91324151),List(48053003, 42181571),List(71380899, 76978149),List(95607940, 3658533),List(31326171, 48257692),List(48139279, 43842821),List(62287302, 32995631),List(96899258, 64473807),List(14355378, 76297813),List(5724391, 84935726),List(40307868, 85274780),List(75417604, 7097403),List(36593132, 97659609),List(35932419, 45791185),List(90212864, 96111622),List(7750111, 62285427),List(74004292, 18725876),List(98944836, 52189430),List(99260112, 11932042),List(82359882, 34941047),List(91500963, 5163665),List(69310699, 22514665),List(49087681, 64740282),List(31474051, 54640618),List(15495537, 99333049),List(45316103, 80010974),List(88540214, 25585413),List(21742624, 2584936),List(81973311, 63135302),List(45952385, 82121813),List(70607654, 89403383),List(7248193, 80418032),List(60264733, 28310878),List(54303421, 24684948),List(53599576, 19164915),List(55392946, 81661743),List(51625202, 53488881),List(17403644, 63876524),List(92705595, 34568387),List(20390614, 49045774),List(861755, 73788140),List(39253367, 54183744),List(962884, 52791732),List(21900616, 27313025),List(63602327, 53291085),List(6000733, 19844170),List(93634538, 60704527),List(2965262, 45926775),List(90786602, 16150501),List(37982372, 95598474),List(32097217, 19276681),List(71261135, 92145325),List(25775690, 8303208),List(78839771, 51911402),List(29946342, 89024316),List(19008189, 57573098),List(9857238, 81053658),List(57013484, 63757792),List(27748428, 17266498),List(10982277, 68516184),List(23630842, 31371132),List(61061094, 23135047),List(21859781, 99673877),List(2355462, 44722953),List(306050, 69840231),List(47199279, 68221155),List(95002170, 83977905),List(61562527, 58049900),List(95330809, 56508979),List(29655960, 12473602),List(51750447, 51705381),List(28738778, 83347699),List(24556622, 84498078),List(27169833, 21879190),List(50954526, 9396335),List(53259967, 96223437),List(73955667, 92893881),List(20966421, 5217170),List(9225141, 41406225),List(79818934, 53399394),List(35143271, 31890798),List(42907733, 14972645),List(74180301, 69583425),List(47912338, 13148070),List(61525815, 86693027),List(49616266, 86143023),List(42615362, 74738519),List(18314975, 86175541),List(8316532, 63363709),List(87409815, 91404128),List(62087706, 20178135),List(13330718, 77482444),List(32105881, 55788335),List(30038857, 71645436),List(76368404, 48406916),List(74246909, 54672475),List(14779535, 30868197),List(57352837, 39976549),List(73652669, 41774815),List(84401815, 34877732),List(51921479, 26218390),List(13254272, 19842834),List(4537207, 44911824),List(71855419, 15068012),List(14389199, 54248913),List(79075956, 50978382),List(58854031, 75221645),List(24027369, 75893048),List(29642664, 56765357),List(75893864, 38930580),List(28395023, 31092982),List(55520472, 91914381),List(88968243, 59739),List(9835876, 59881245),List(122859, 73333589),List(78917601, 45946850),List(3466378, 14483078),List(69388201, 46493702),List(68856731, 15864247),List(15329146, 12896404),List(216780, 49099381),List(22635208, 60872107),List(20015106, 31903484),List(98978145, 25100180),List(70180167, 80416661),List(99619132, 15636027),List(80416115, 98296085),List(22194681, 25314159),List(84290446, 9435775),List(54027094, 88604311),List(61653719, 63153739),List(94942794, 2122083),List(45349980, 60864460),List(78796992, 69729825),List(31287889, 25869975),List(90844144, 30710658),List(18327773, 6082261),List(15246994, 8817077),List(1438984, 78745645),List(45371088, 25541080),List(19939166, 7604197),List(85488974, 30569484),List(31212557, 8882218),List(55076625, 77505906),List(67092006, 85527102),List(28177324, 47120194),List(47800787, 62954378),List(40764971, 20084783),List(90142572, 21602463),List(80978376, 6935436),List(93336336, 30056418),List(95962356, 33925037),List(69665381, 17799576),List(12622379, 81581220),List(13508207, 29730674),List(78034874, 46652786),List(50422460, 89321782),List(46019460, 21012925),List(13236819, 69421605),List(10037983, 78161836),List(17659542, 66369690),List(33678408, 69934962),List(28178178, 70432635),List(90101649, 98219271),List(52744615, 19191751),List(40264290, 63831375),List(12870062, 40294139),List(27512323, 31252100),List(60719298, 87627162),List(762008, 81459299),List(10285647, 52321449),List(47748166, 72078921),List(93563241, 23072870),List(46987655, 12501873),List(23870108, 92702692),List(83699820, 67329600),List(19365849, 67525348),List(3189685, 31198689),List(3565074, 98107272),List(95608850, 78116413),List(95002344, 95851363),List(60652590, 65031358),List(13566618, 15207207),List(84723729, 83242693),List(2799590, 14646851),List(49473603, 6646517),List(81024644, 75685939),List(28560073, 92039826),List(61792522, 72220368),List(41044359, 75937633),List(13178912, 74809050),List(98396081, 89018891),List(94266278, 71611714),List(95181391, 88208209),List(42112920, 68275075),List(46339889, 7229270),List(21960512, 49406454),List(70360181, 89591417),List(51015643, 36143799),List(23184644, 18966420),List(72985610, 10023114),List(60776940, 17336904),List(50873117, 97728373),List(1245490, 66930856),List(9254725, 63986843),List(76208106, 3421895),List(33783456, 98640027),List(26755599, 11140148),List(46315884, 23936996),List(95902875, 11560020),List(1236201, 60532705),List(91396797, 84689531),List(36087438, 95659537),List(38587216, 64921883),List(64963165, 64922023),List(95235394, 49513623),List(84296899, 20448348),List(86317454, 96516299),List(8322793, 62449460),List(55704332, 56640196),List(93416410, 94661663),List(21882073, 9287264),List(37066818, 64689407),List(75764303, 64758147),List(10280034, 81876711),List(77809121, 44545381),List(48725393, 98313110),List(9634695, 81842367),List(68139798, 54477270),List(82955152, 44959529),List(71880299, 94266135),List(48168522, 31267501),List(46645343, 37112121),List(8786769, 86749233),List(32483236, 69180708),List(97915331, 39256364),List(48568705, 52871590),List(4122768, 69394563),List(72161140, 8596834),List(68257492, 78575734),List(55508468, 39517633),List(43152662, 19447930),List(40641636, 88510171),List(50193231, 61261945),List(95383096, 85877212),List(94313298, 52505878),List(17714234, 71792291),List(47063474, 53810957),List(90482837, 64601474),List(74338093, 34154140),List(55201928, 31243956),List(50630750, 13054423),List(19695867, 55099455),List(52334473, 88953470),List(92779924, 97964402),List(49020414, 90671041),List(81942520, 90662046),List(86825204, 47405252),List(89761020, 92332500),List(99629325, 76181642),List(41748045, 13850621),List(50241441, 21787701),List(74544478, 5127428),List(6954457, 43290702),List(97873037, 26723260),List(79530163, 67376839),List(79012252, 92643906),List(51393485, 83262619),List(14782827, 67442228),List(846937, 68214874),List(7031051, 31176737),List(71926748, 75140029),List(19086566, 87961160),List(98780341, 42553077),List(22292732, 14153694),List(27376458, 58049471),List(55976102, 45871905),List(96615475, 29656933),List(99877428, 27605447),List(53614718, 10398512),List(32568462, 34301460),List(77700409, 51091200),List(22891476, 90721241),List(27162048, 50749785),List(20381652, 4598897),List(25021103, 12098762),List(30886550, 21462624),List(36475703, 56161774),List(33998169, 58447444),List(13192730, 9993413),List(69293397, 28056843),List(6054582, 64280047),List(95045467, 64922474),List(2471509, 21610702),List(39663455, 36711097),List(77718918, 85480547),List(28560771, 27272991),List(39509511, 30457186),List(68764537, 54844707),List(10678664, 85789657),List(17979456, 27313692),List(8628011, 30708739),List(25793707, 30690796),List(16198683, 35701930),List(73079519, 86350662),List(83289798, 21063529),List(46689160, 14866557),List(81016198, 56322413),List(95737161, 23583794),List(86619968, 92123668),List(91521949, 28607118),List(30084099, 31229064),List(81774497, 319984),List(22938844, 59802297),List(96421975, 76377178),List(87809928, 25734794),List(7622515, 42533038),List(86103568, 17487777),List(92726455, 30310834),List(44135631, 42232556),List(95571306, 35011326),List(60553034, 36790267),List(4691803, 16556788),List(44569355, 79128589),List(58749422, 18254487),List(78359056, 12943950),List(43640563, 63497054),List(63443457, 46573918),List(66328346, 50174588),List(30069543, 55085978),List(90394130, 1997170),List(33968697, 42803953),List(93057354, 3814139),List(39372994, 13266762),List(89920737, 44425535),List(95060407, 2839894),List(47223396, 19646860),List(91706091, 37140689),List(29376177, 61598037),List(59171991, 48719064),List(4959239, 10360643),List(74642299, 35028782),List(86832197, 8623933),List(73692795, 30958299),List(66218821, 61460580),List(69796683, 51289120),List(95962622, 5458931),List(89030337, 90877257),List(56456289, 85305693),List(98943745, 96481621),List(28673936, 80622964),List(61234743, 41955930),List(93665634, 33719647),List(23591165, 85968426),List(74976337, 3188232),List(16066575, 86470571),List(42407828, 7077963),List(7577196, 22014902),List(64658922, 25531717),List(14468155, 44100818),List(29402126, 97197232),List(30936715, 58970889),List(2282021, 38772233),List(53593063, 89407653),List(76680962, 52887794),List(30867017, 49474083),List(4690493, 5745296),List(56370349, 45427124),List(58335012, 89200476),List(70249319, 75453538),List(28817951, 74864453),List(73199976, 42726594),List(77650562, 25630424),List(68294844, 66671833),List(9016332, 44351336),List(67828695, 55308809),List(24124744, 66248612),List(94664531, 31330279),List(24145221, 81749663),List(20078908, 87063161),List(17096749, 83895137),List(43459966, 36913724),List(65574715, 91810081),List(54521778, 47072794),List(90412871, 66501707),List(14678056, 42997526),List(67751386, 49572687),List(87284489, 85426143),List(79081322, 53931007),List(42992499, 75638953),List(58248978, 70891475),List(39558709, 80287201),List(97664129, 54487045),List(84032706, 99703703),List(50187815, 43345519),List(92051033, 22277199),List(33743325, 17068887),List(34675314, 92962904),List(75702528, 64700427),List(66069732, 31900844),List(99710372, 87525494),List(39686878, 69463497),List(35818200, 26697641),List(48616629, 65825997),List(49002483, 9485867),List(46896659, 25515896),List(1688396, 48547166),List(52116141, 72622504),List(98831103, 72947512),List(66555416, 14496270),List(38464070, 17838724),List(23301903, 13014464),List(2240085, 70660761),List(18743685, 18592773),List(56193208, 63247570),List(99164101, 32980409),List(24497127, 91160108),List(84791473, 80208141),List(86537878, 61046474),List(86830700, 40459872),List(92798633, 93518385),List(16042122, 67499136),List(25176357, 89979284),List(13034294, 34535574),List(3702723, 65696506),List(98827690, 93312745),List(31448019, 9334813),List(26280662, 25202532),List(64293233, 46039753),List(69634124, 65187032),List(42039828, 36896424),List(98098064, 7759534),List(49548286, 15797828),List(66540736, 40232869),List(86631632, 1473009),List(49646435, 12622400),List(53172533, 34304784),List(26348911, 79142309),List(65557890, 43307829),List(21160284, 87136021),List(26648889, 26335680),List(62538507, 10945194),List(69971240, 53243765),List(31439859, 72820025),List(50983795, 63017857),List(50280712, 48414639),List(12605819, 5300558),List(36469307, 10726528),List(7741942, 28796179),List(96321608, 34045020),List(22400073, 30573935),List(21201360, 8709436),List(1073857, 94575006),List(39264862, 76081678),List(73691994, 38807532),List(58889336, 35999556),List(60670126, 62310575),List(63883876, 15615233),List(45735301, 61781959),List(40289470, 4632485),List(35922644, 55873041),List(15003828, 48475908),List(76429471, 24224744),List(10731150, 73543338),List(25409865, 58559176),List(62914097, 41333775),List(48777289, 5896880),List(87477915, 87693538),List(38363027, 2286055),List(68051562, 28419930),List(52794113, 82555573),List(85923345, 14774846),List(64583801, 90290684),List(35573243, 37539764),List(1691294, 60201630),List(7516801, 19456995),List(66119359, 31177888),List(25183954, 91955721),List(74148160, 99830776),List(67046069, 8673415),List(27290384, 21004475),List(89872333, 50801418),List(74368446, 52535840),List(80326189, 42858573),List(11881013, 90101535),List(70671415, 58339113),List(20646548, 91196911),List(51394603, 33259856),List(84645148, 47544459),List(53865963, 82019301),List(76295526, 83825557),List(74818198, 60183118),List(26840298, 70831158),List(89500188, 3270690),List(55232876, 12338323),List(52292060, 85780425),List(98250038, 38126373),List(78993881, 50545014),List(30193668, 82018815),List(7269812, 24513026),List(26785549, 67552826),List(10679645, 34922352),List(96722426, 55099912),List(8100712, 68565338),List(26305260, 26233814),List(63009585, 73519149),List(33516535, 29253206),List(44370311, 11708625),List(81968766, 84581329),List(46584641, 10718116),List(10602183, 48669407),List(48276882, 50588938),List(46469703, 35024091),List(94765266, 20769882),List(32629833, 78909138),List(51959395, 30590003),List(30771232, 32802605),List(54208637, 56285527),List(40356046, 898547),List(82562998, 52862251),List(83625972, 34451997),List(37190744, 78233416),List(51162440, 72521372),List(78463707, 63401165),List(604648, 61137291),List(47781871, 15452514),List(8713544, 25640270),List(70680191, 5374574),List(41393855, 73939312),List(58864337, 88373339),List(1841310, 58945416),List(59078766, 62234650),List(26601192, 39025369),List(77069629, 73407440),List(73670468, 89180251),List(50442767, 42229017),List(26547620, 1411167),List(74890308, 14032617),List(13131659, 13382822),List(46343941, 23731669),List(64352688, 9580843),List(78010878, 87744930),List(47451729, 70710926),List(40895637, 58760776),List(15062117, 36681938),List(50172048, 66159700),List(17130796, 37256719),List(46941516, 50040376),List(75370794, 2607371),List(31569745, 21051028),List(63629917, 80986989),List(63023195, 36519506),List(79363512, 57722933),List(69352192, 47999797),List(76783533, 52057783),List(89476348, 24516440),List(1183123, 44821278),List(4834734, 16695278),List(47889095, 30209638),List(70133412, 21627785),List(98300056, 41174888),List(40538267, 34342478),List(89302923, 40821791),List(2251218, 10048051),List(43846463, 13260243),List(68867368, 46484171),List(25117290, 6919019),List(46306579, 11686124),List(7244608, 76620585),List(86461284, 57883722),List(65785766, 37120277),List(25187174, 90479224),List(28886844, 93727901),List(40926115, 27576764),List(85910943, 48319327),List(44319123, 20628301),List(87894594, 23745507),List(95184400, 69806959),List(48872325, 68029799),List(59803439, 55376916),List(62577738, 79649982),List(23246588, 44771410),List(69107687, 23210109),List(97105639, 68470124),List(55257755, 65236589),List(37780066, 76995212),List(9095191, 76611988),List(76028316, 47631793),List(55486850, 81980685),List(52255985, 97007868),List(47491508, 5696416),List(17482777, 73165394),List(52879510, 18526042),List(99679960, 48391477),List(29986813, 71766945),List(63067591, 97576320),List(77651517, 22443558),List(62502739, 25856725),List(78953449, 64984052),List(84608138, 13868875),List(14079510, 31638162),List(2487908, 89598433),List(67965366, 45485796),List(91055411, 3894420),List(86288543, 72580853),List(4219518, 67309034),List(9537470, 17093006),List(69230946, 64905685),List(86874716, 15998357),List(3830592, 22016372),List(88450451, 88701918),List(15340001, 22546013),List(27246200, 4579510),List(3168986, 53549628),List(81394267, 5523906),List(44557711, 81359068),List(24493697, 59931922),List(81850332, 71194765),List(24862975, 17984987),List(73462032, 38388532),List(67195021, 42782738),List(28173286, 49130740),List(20888555, 23775592),List(66719300, 97321180),List(76667547, 77604195),List(30449057, 42859535),List(21174487, 32638168),List(16601271, 73679248),List(12793655, 48689540),List(19770660, 76075922),List(10498526, 46800927),List(91059049, 34235510),List(67221609, 40220280),List(80998907, 39865053),List(18998370, 12319088),List(63152153, 55300952),List(30321204, 79808604),List(91493748, 30994112),List(54186080, 36809226),List(8252461, 15938058),List(53322671, 89045518),List(7517569, 25432705),List(72077084, 70473214),List(33408603, 28294785),List(74808200, 7195136),List(46186173, 8862986),List(66642975, 62202374),List(84300584, 84368308),List(87766169, 55090184),List(16905440, 2317495),List(86851357, 65617109),List(76223554, 19449503),List(56272745, 68744053),List(10715152, 17665042),List(81712810, 80506316),List(27255400, 8768469),List(28130729, 82276242),List(75678316, 2912255),List(60747435, 7428350),List(20670510, 25294592),List(54543559, 71563274),List(87648738, 56091218),List(3900997, 82464656),List(49065197, 83413166),List(68569727, 16277061),List(74220686, 53534101),List(96786088, 49618639),List(85869125, 8953588),List(62272109, 49805274),List(65646017, 98706569),List(95154977, 33982267),List(69653991, 40493016),List(73417205, 71704280),List(80463098, 17740029),List(92021725, 12389925),List(70281454, 73637667),List(82058478, 91706336),List(67620449, 81503424),List(37759789, 70595278),List(49600539, 90372503),List(61964243, 7697936),List(39385946, 59035771),List(81750809, 69727473),List(40716418, 19607458),List(85188226, 98725474),List(31109086, 92548884),List(73214489, 90034057),List(68343469, 14288815),List(75966513, 91048812),List(99932946, 91977283),List(62700828, 65941686),List(91048298, 63744237),List(19870091, 27253),List(78284568, 98095537),List(20661410, 97972248),List(2824139, 34566696),List(33784581, 83025964),List(47526874, 27940629),List(28032326, 10718588),List(79544934, 65499248),List(43433101, 77646216),List(32515431, 32854609),List(97858338, 55607087),List(13684133, 1505693),List(72555561, 54650583),List(50160742, 59770888),List(33430327, 94893894),List(68545545, 23644177),List(10147278, 6369977),List(24669507, 40546650),List(7789506, 38205322),List(72247811, 36372990),List(84682838, 97797921),List(83089552, 31748179),List(87907227, 81549),List(24155425, 33302920),List(87200661, 67013103),List(73405520, 54014091),List(5625353, 32684260),List(32788589, 60410866),List(43163825, 79988091),List(31594466, 55285900),List(3605457, 90604455),List(67265492, 81094600),List(46124798, 55811205),List(1577722, 85276132),List(62335410, 79225942),List(85348414, 79807292),List(11650324, 98124762),List(85725341, 7022473),List(4221272, 5444274),List(79088982, 92893375),List(76191092, 6858564),List(18187066, 88468795),List(78723394, 73979850),List(32119754, 79272646),List(64310591, 66069997),List(20406280, 50317027),List(68622272, 44940756),List(21983177, 81233211),List(41973019, 35744423),List(92651804, 32540168),List(13415934, 40858650),List(8231130, 31819812),List(57401889, 54870646),List(89193302, 42981756),List(80252818, 30846061),List(62234213, 79534507),List(17338055, 40154452),List(72299256, 79672906),List(85510668, 9506656),List(79872344, 38244117),List(41190951, 41148251),List(68031354, 29203324),List(18681683, 37382826),List(76563507, 11030764),List(35459656, 91124613),List(65303015, 95892781),List(51661829, 82739273),List(96238249, 98792772),List(99853802, 90799772),List(35537889, 50033450),List(61343274, 67303704),List(28210476, 95469217),List(28569825, 42937860),List(1950277, 70986417),List(69016901, 40010050),List(82386071, 76451344),List(61049387, 39541539),List(62475484, 57867601),List(19744321, 57924828),List(2829394, 79978912),List(82615971, 66253096),List(77937539, 17480485),List(4625061, 31787357),List(77235066, 26305087),List(63026867, 45999858),List(7842953, 31790014),List(55937610, 94845434),List(49088094, 22113477),List(43449138, 32088737),List(98631259, 2483908),List(91260624, 83591970),List(168579, 2645130),List(42615079, 35374951),List(13987475, 5286297),List(7272799, 56620787),List(38209398, 6067332),List(24221455, 80487264),List(947432, 27900672),List(75325317, 64208596),List(54158808, 55985767),List(22240400, 83008952),List(91866790, 47419822),List(44742719, 66007528),List(18806636, 91366648),List(41831779, 18321836),List(77634569, 22632134),List(97975368, 45408066),List(56342324, 76175658),List(64551703, 59947424),List(90355782, 75084125),List(14542775, 37841933),List(62520897, 63729052),List(33104241, 27983857),List(71889427, 50189592),List(96302697, 76369574),List(98017350, 92997974),List(31458467, 55453418),List(24297983, 73891020),List(25042926, 56529638),List(178934, 36928844),List(16851948, 56446435),List(35443227, 52619991),List(82351631, 95930210),List(5263046, 19556408),List(70796578, 2117403),List(17787491, 59922268),List(43811023, 32365854),List(50179079, 64568968),List(68513334, 52443066),List(93745912, 24285325),List(49145795, 35032570),List(51579276, 71938133),List(49304293, 64810275),List(20579319, 66700512),List(57119846, 41690079),List(13137608, 70358804),List(29671842, 47097320),List(73784199, 74431380),List(9641758, 91772611),List(77291770, 26584679),List(85470261, 57459610),List(90629200, 62338055),List(38537039, 26358228),List(28327541, 19850879),List(44228485, 12922297),List(82789724, 82753227),List(65486451, 94616313),List(11723626, 82205209),List(43794261, 62238200),List(12531305, 76495652),List(56677015, 30697877),List(76306198, 94687445),List(74060365, 18714968),List(30976079, 5068448),List(1623975, 16210660),List(87529919, 75754528),List(86010214, 99679640),List(16535952, 18436426),List(38805612, 97220852),List(41356821, 90535065),List(78925899, 54300),List(52740461, 11586657),List(62829673, 11659627),List(53353550, 96275221),List(32730292, 12254494),List(46272301, 42277864),List(98748142, 16486674),List(86323034, 37649701),List(45608298, 83057669),List(90221167, 39494012),List(12181070, 29483698),List(27396948, 47353314),List(71993673, 52491363),List(38799796, 16038146),List(11090079, 42195524),List(33289786, 39809480),List(37255621, 59758230),List(28970311, 97898524),List(79779397, 22540625),List(93975623, 29617814),List(91098708, 68905203),List(56014993, 17148789),List(88635785, 17686691),List(13960224, 48794422),List(6621946, 1877497),List(36259157, 94676878),List(82245887, 68676290),List(72077542, 65251702),List(40849474, 32810428),List(94785241, 34694624),List(53521277, 56688828),List(70307456, 38562519),List(76524712, 4439707),List(9376719, 31160808),List(51609945, 70648345),List(36627889, 9091282),List(52241155, 36593528),List(70509690, 72547782),List(10113827, 22806043),List(62063856, 71611676),List(92149804, 61453908),List(2303051, 24777805),List(14827527, 54705456),List(58014865, 79806780),List(7516270, 34845981),List(94060718, 52806305),List(32018633, 49390106),List(73101573, 13615521),List(58275, 17128295),List(28933283, 64938859),List(62863070, 22298603),List(89421898, 52034430),List(44726778, 28083202),List(38381295, 72799409),List(47741095, 38279101),List(64598632, 28328270),List(40498592, 20408765),List(70055883, 41171953),List(88382046, 75643655),List(92998158, 18139473),List(13479471, 60264492),List(17588365, 2335249),List(13262358, 40055121),List(72494595, 83732428),List(25862895, 35768177),List(63299693, 61781148),List(21996737, 92346472),List(53702861, 19362963),List(46997133, 81483118),List(55912279, 78743790),List(55595707, 35612127),List(45160703, 43123917),List(67657966, 99463410),List(91051143, 33501156),List(88385059, 42569267),List(21831649, 61580117),List(72411090, 4898697),List(82436656, 73078777),List(35730995, 73466485),List(83989644, 15208000),List(32660434, 3486959),List(58856256, 80997583),List(79691754, 96442899),List(87946747, 8927075),List(206829, 77518332),List(56803033, 38811284),List(12012860, 37858655),List(41526587, 26746563),List(69785201, 72433090),List(23022031, 84748828),List(86727949, 92470378),List(81840140, 71250711),List(98566596, 2168158),List(32741534, 29562756),List(97995245, 183278),List(24268656, 70467888),List(74965888, 5000478),List(19654330, 77911737),List(45956898, 46939774),List(80391650, 67813236),List(87695560, 96740285),List(34553653, 86416077),List(70972626, 73089934),List(53754714, 22479412),List(389681, 65042611),List(73046954, 14364599),List(62582570, 56460011),List(6030224, 35871237),List(85947248, 97057251),List(42247776, 61075071),List(7559706, 12319116),List(28539809, 1470877),List(73372665, 50202031),List(45665279, 7948358),List(14640529, 9927897),List(57147074, 86109182),List(46747818, 84241482),List(10105786, 4395615),List(17873182, 22209533),List(37580409, 10941737),List(76273065, 56491735),List(74196245, 71917502),List(81513239, 74859112),List(69775249, 82568838),List(80253336, 99088685),List(86162975, 91613214),List(84284772, 39869246),List(83999718, 76369353),List(79449948, 99836245),List(94147211, 99973356),List(73098368, 78028766),List(63593959, 56468344),List(1769759, 44211096),List(29626363, 94020529),List(63390372, 66323315),List(83310013, 32216387),List(15248822, 632351),List(10332141, 69237226),List(59048997, 36189690),List(18355884, 36946084),List(37500749, 59673174),List(77704967, 82169122),List(25855040, 62311490),List(20797732, 45602687),List(69589594, 28993977),List(71683035, 28845106),List(54976167, 51102821),List(1094060, 2942923),List(89541118, 17751967),List(23369293, 10838444),List(66011218, 69905937),List(30052150, 76804150),List(19854285, 45030248),List(75199278, 20996472),List(82674986, 69489493),List(19446457, 63094708),List(79699591, 72550174),List(58193707, 63454984),List(85089205, 5479852),List(76670776, 36719997),List(3492045, 47405625),List(24443510, 86753782),List(53571479, 70872266),List(91368960, 11122793),List(83358662, 76240642),List(48247502, 99554123),List(13469691, 75436265),List(39170274, 24726362),List(52973797, 53010948),List(4515865, 39103351),List(78553933, 69253211),List(2428837, 88857868),List(17467270, 91548349),List(1857341, 18027467),List(2638035, 16004301),List(608113, 31271013),List(28762352, 19513713),List(83185643, 51702441),List(35205564, 82118766),List(58934986, 70403063),List(26558542, 25715441),List(11197651, 53615004),List(90889150, 92751863),List(58973611, 18551365),List(88547251, 10045311),List(68203283, 19499676),List(55852664, 12957284),List(93966804, 19979266),List(57378802, 42360557),List(17628701, 11755316),List(18479705, 19449437),List(5155551, 26192022),List(2970782, 72976607),List(1516695, 21088543),List(16211105, 42944984),List(38206803, 35526580),List(61681367, 87365498),List(75156634, 27558789),List(28058096, 65637587),List(90547231, 83605537),List(90233845, 81633967),List(91408111, 16683407),List(60845293, 4132393),List(33925290, 87528835),List(77238583, 93687646),List(94903877, 59816714),List(11582414, 32001264),List(33867521, 44184659),List(57488238, 54386069),List(77184948, 20244468),List(2720, 30613916),List(85461659, 32552034),List(10277194, 54960512),List(95625522, 23746584),List(5977111, 62835772),List(34902168, 70640285),List(26230699, 21540359),List(8388405, 58932343),List(641077, 97736711),List(81083471, 41720550),List(77448666, 17723861),List(69736839, 62975205),List(16384610, 40705048),List(14107271, 53746380),List(65272530, 79923421),List(81226793, 29540972),List(57414005, 53504323),List(17202264, 45662964),List(29697449, 95019172),List(22335059, 60599271),List(76961247, 53998749),List(68126727, 87315285),List(74377129, 88203972),List(95357706, 11878666),List(70213051, 26545524),List(58102414, 84410824),List(58628859, 60848255),List(80272275, 83769666),List(85852175, 25030464),List(6320977, 66143301),List(70318246, 68911155),List(50850683, 50279719),List(49063474, 39061141),List(87343390, 22145876),List(86382236, 33709983),List(27534018, 65278958),List(51070650, 12841389),List(17754729, 77444939),List(21987866, 75242399),List(90549689, 36161430),List(2001213, 6128107),List(79625823, 29211677),List(90805750, 23660947),List(98484888, 2207846),List(50403032, 29832715),List(83857195, 45794838),List(20388591, 84624410),List(76282505, 12472824),List(42449767, 69772982),List(62919764, 55920884),List(67771342, 72328398),List(31342451, 76362760),List(70912575, 85970172),List(64581444, 70800824),List(814474, 92231284),List(48494784, 20231112),List(3536863, 89400902),List(20551897, 68700871),List(74595195, 45951662),List(55778435, 36535792),List(746506, 89648133),List(79935394, 12492455),List(20691816, 3807124),List(83088450, 37168024),List(3677831, 14833528),List(44466747, 93329927),List(82246958, 81793530),List(56431894, 58721278),List(14088191, 9389105),List(17376487, 1989779),List(8044591, 63046613),List(80355303, 2089974),List(18631268, 72110438),List(10260088, 75595831),List(69980634, 43659175),List(67792478, 48117007),List(65629679, 56440938),List(62274637, 51406647),List(50098660, 93501794),List(45139360, 34979591),List(25514687, 17132973),List(14258746, 16178190),List(47849722, 26940900),List(49705450, 44399163),List(59077153, 8611595),List(95850245, 74449032),List(50145113, 12234100),List(78044966, 52997316),List(18324113, 79873651),List(96923736, 85578853),List(14679261, 46609264),List(93713277, 17332380),List(31880719, 33377196),List(47648646, 88451575),List(99562743, 74271059),List(22968826, 45853210),List(32258720, 62538766),List(99238923, 85458476),List(21613722, 26721299),List(52355263, 23552476),List(38226777, 26059398),List(57455081, 17331873),List(43109312, 48622410),List(81535603, 6014176),List(32685882, 91852304),List(81303008, 22442024),List(53644856, 60857596),List(422895, 42925870),List(38092340, 86809798),List(5136631, 48837282),List(58724341, 48523061),List(65117116, 79631693),List(34046957, 74275308),List(60151806, 59568203),List(28404191, 8429304),List(31060410, 98937403),List(54510559, 17609754),List(69394865, 85972524),List(40974634, 9874182),List(19246123, 72004212),List(88802947, 5426018),List(50099616, 47339907),List(91674628, 30062508),List(1628608, 76865649),List(66724167, 42324170),List(99835212, 17576870),List(21810786, 12793961),List(15830847, 67440558),List(93876096, 45653385),List(78772530, 83989688),List(96728490, 30852382),List(31847710, 22764611),List(94935580, 23165906),List(83639526, 21363162),List(13103073, 3832872),List(19108745, 45229423),List(37596731, 75597489),List(9785423, 90095573),List(61242088, 83008179),List(64347363, 25928391),List(76824266, 10264618),List(1382210, 99486538),List(42667013, 70960074),List(55323894, 74208216),List(17329797, 22100293),List(49593198, 48159908),List(65374433, 89158493),List(57066556, 38934170),List(19138743, 95671319),List(64515829, 68695528),List(94811327, 97920896),List(50585288, 94282307),List(87461020, 80934871),List(2514073, 22255957),List(59353917, 93173058),List(21278493, 68992027),List(33260935, 18121305),List(27139354, 87001722),List(29625347, 68363767),List(35778175, 4433169),List(87345252, 94943356),List(39983207, 99082313),List(34493896, 87969323),List(76158304, 75687935),List(95276553, 70476694),List(69979018, 76205186),List(72727127, 85335410),List(98893495, 58569149),List(85493900, 19582995),List(87402700, 86614784),List(62993812, 45835699),List(17716533, 40790425),List(60872261, 53187736),List(82795012, 12325941),List(60677295, 71766558),List(49702744, 64700520),List(27706670, 12198709),List(90461850, 74765279),List(74989579, 22800736),List(26008647, 83200711),List(10483102, 88237053),List(55256388, 38845598),List(23542275, 73017520),List(32699704, 3934154),List(15678809, 8380148),List(98453833, 48702512),List(87603127, 58579158),List(81560758, 54359382),List(19949120, 69520000),List(43390277, 78439475),List(34105937, 83239544),List(60986465, 46176426),List(46351561, 60244999),List(35505319, 52771163),List(69020980, 70407105),List(44985367, 84335410),List(11033221, 87824409),List(80605976, 71149327),List(92127419, 90017497),List(30928461, 25986235),List(28612417, 38332682),List(34520004, 9592256),List(17995259, 65367805),List(54220821, 79973504),List(95767576, 71564481),List(49533140, 65981431),List(17207057, 55774718),List(37484091, 36791626),List(98971408, 8735585),List(59365820, 72168541),List(20453283, 90825365),List(39579715, 38132640),List(68297437, 26396110),List(19462591, 36334426),List(22411634, 1962833),List(25952930, 13341424),List(98175655, 98967607),List(55995620, 99659135),List(62008557, 57645350),List(34029443, 94553931),List(2756752, 70610191),List(71857152, 58574390),List(19977355, 79739932),List(86744977, 62646942),List(48780935, 5041967),List(18008644, 7144304),List(12602230, 42198692),List(13754678, 10467516),List(83321137, 3992940),List(5077036, 40162316),List(6069551, 83952097),List(29142902, 410652),List(34322757, 92667952),List(83430559, 55253871),List(77813800, 60380624),List(93948295, 87682139),List(55396795, 44744426),List(72435674, 68644293),List(68739054, 54392391),List(51567836, 23200029),List(93526310, 15727605),List(54780566, 19621487),List(11540772, 46114439),List(97417649, 62103401),List(86212730, 36973626),List(50249540, 9396562),List(21218945, 65529173),List(40674712, 60473327),List(44428087, 94823351),List(35966053, 72175090),List(92927423, 18775070),List(71299134, 91318375),List(81174329, 61670194),List(3910684, 31493433),List(14891027, 91706603),List(28712569, 59423681),List(6080000, 63053102),List(70147583, 85816904),List(40449361, 43924026),List(92588196, 95297376),List(37653172, 6305866),List(9049869, 88597853),List(56581713, 42287671),List(65885281, 52010798),List(43756023, 7050030),List(60930521, 79413200),List(63735570, 97701811),List(45517115, 52923433),List(82077347, 46738893),List(23199250, 2801416),List(50668059, 30825354),List(52946518, 20378306),List(28624912, 18556339),List(42175286, 24757054),List(57596914, 80675824),List(46198992, 12682646),List(72646050, 2992754),List(50042933, 45717713),List(7861808, 18881381),List(18916307, 41025936),List(95501758, 51285359),List(29531369, 29803672),List(95619813, 9245661),List(7437209, 3821816),List(47826901, 45106162),List(46279384, 63048861),List(40484301, 98449948),List(3972998, 32110887),List(21130344, 74533417),List(84124432, 7856965),List(14216031, 64320163),List(57384813, 33887018),List(53744387, 51351879),List(43192895, 54897257),List(6113607, 22279306),List(59270213, 34165544),List(10585150, 29991889),List(78181293, 29396895),List(34013323, 75752898),List(35813587, 14326706),List(56458120, 8626763),List(77731275, 26837065),List(91899915, 59817396),List(98037131, 98237296),List(40380141, 32896147),List(52165503, 70838488),List(47583954, 9513021),List(49871507, 59831660),List(38745326, 61167816),List(10446678, 65131086),List(91391412, 67870389),List(46307128, 82759341),List(59700135, 86677636),List(38041074, 91707834),List(46227685, 32216663),List(40721166, 53440770),List(2571351, 62360506),List(91872861, 1769997),List(40014081, 75109692),List(27834542, 93740205),List(55519028, 83702846),List(1792026, 76315377),List(15839576, 71890776),List(33502199, 52373012),List(18425136, 11455620),List(51046095, 22486074),List(81717982, 13623553),List(13089882, 77457486),List(39217290, 39298687),List(16586565, 8994173),List(52694935, 45988991),List(47389184, 36234070),List(55152240, 4967098),List(3663833, 82504715),List(32051694, 16156898),List(68204802, 53804161),List(44974158, 51186201),List(69063113, 78395205),List(36860399, 69824615),List(85153212, 51139164),List(55919928, 6712855),List(24564788, 79339350),List(71057609, 47743306),List(8574315, 77985908),List(99993949, 1503934),List(56148412, 76099321),List(41867905, 28354461),List(81650534, 89733654),List(79264771, 4424393),List(43620826, 56263164),List(18942204, 90828674),List(44920663, 94020204),List(79912631, 59005514),List(53010337, 61704947),List(15397704, 7334616),List(39251041, 66831653),List(88290862, 83494155),List(64043833, 37238771),List(10411421, 65241839),List(16535170, 1035506),List(87066669, 45719346),List(75980098, 16035389),List(81278128, 23242146),List(7612174, 83320935),List(30753785, 59984390),List(13589079, 32417222),List(65626388, 242390),List(57495029, 68582627),List(76945279, 50926358),List(14057957, 51973908),List(25186060, 14466064),List(76226924, 26104004),List(93574598, 54496579),List(35692825, 7693326),List(22749488, 61377352),List(24398596, 28861116),List(89799673, 20964870),List(32706583, 50655611),List(79616670, 74276399),List(90471906, 55489062),List(99465080, 25432449),List(91104402, 86044943),List(56967553, 74038774),List(21540351, 24735551),List(23666699, 19234476),List(27284495, 77304298),List(92165194, 96778224),List(87685609, 75036394),List(81353136, 26449922),List(36412488, 88607761),List(49252746, 90635345),List(2094542, 62333651),List(25538551, 54637251),List(77912528, 52901417),List(10128315, 30354952),List(2545064, 65638359),List(67355262, 79815448),List(62986397, 60070080),List(16424284, 9038848),List(79115843, 25183955),List(70821342, 86362854),List(18025315, 71708722),List(20885898, 2592156),List(58559714, 79280481),List(14220820, 93129069),List(74626811, 41579498),List(28056318, 79103689),List(75127581, 40670724),List(5026639, 79289151),List(34504410, 20981503),List(26834892, 31227577),List(10630051, 93851920),List(43607692, 81371225),List(55954014, 90201563),List(85310360, 77803971),List(43295347, 26507533),List(32541636, 13630637),List(68469921, 89298755),List(34804562, 4918585),List(56443818, 36424388),List(73807110, 5168118),List(64324119, 71451056),List(77475050, 2324337),List(5587417, 33919088),List(11686078, 24996149),List(43896933, 516104),List(6980551, 65124470),List(78143163, 62798782),List(67393703, 60393034),List(13604985, 61893036),List(48444599, 54403258),List(51706951, 85499602),List(36062336, 25784115),List(58280718, 89116696),List(67560838, 78925285),List(90686948, 68252009),List(79149402, 74924370),List(48676202, 42434628),List(69173370, 3633483),List(42517173, 35691689),List(35378397, 43197391),List(88688078, 91131313),List(61928840, 51214702),List(34706378, 53173743),List(79277107, 46300309),List(80616754, 10873654),List(82036453, 90058495),List(88858565, 42556763),List(89498812, 33621883),List(42178938, 44077485),List(80548917, 17913010),List(94286642, 70680810),List(31350148, 23573667),List(555947, 64246200),List(77000703, 35923221),List(70922357, 59262431),List(28914921, 62087187),List(32054285, 19238378),List(90774001, 27982166),List(45563611, 10496378),List(75899442, 88141867),List(98782128, 22117136),List(52779572, 29938297),List(53896800, 36669012),List(16734277, 42183144),List(22021108, 46852573),List(88455350, 82895551),List(60567917, 13905345),List(38566504, 14129148),List(39644724, 6293011),List(56397822, 6236748),List(27732530, 54397476),List(1804609, 70235155),List(74061977, 84167230),List(75104308, 4831513),List(65777118, 20584324),List(34513170, 27333648),List(49809608, 92419385),List(53260426, 83220120),List(75773960, 93210889),List(22690095, 56600241),List(52377456, 28552770),List(87943782, 23618970),List(82213150, 34120380),List(62886954, 90682202),List(96066577, 27193321),List(35446901, 35585149),List(39487005, 84028774),List(95692538, 98552974),List(24761302, 6544820),List(55295062, 60285071),List(32845826, 95674408),List(51380672, 50444294),List(82803910, 10231329),List(20531052, 23091478),List(32882762, 61029396),List(54322824, 2369438),List(44879108, 36883867),List(91111059, 46026717),List(13256448, 11396290),List(86223176, 76966755),List(58467186, 47660053),List(94528676, 61797326),List(3959828, 9244049),List(47608543, 22063719),List(87010162, 53768847),List(24657664, 73900551),List(58047415, 40081497),List(15230383, 79231733),List(26799037, 46120954),List(39871812, 12733435),List(20246260, 42545412),List(87820425, 73022054),List(95517193, 43336233),List(7608931, 45500755),List(46904286, 26428120),List(93732832, 66949778),List(43219094, 47524887),List(56251458, 72187637),List(5366581, 94624153),List(61602686, 72032771),List(53444620, 54867465),List(48200837, 43488222),List(82108123, 65922116),List(33010782, 8965865),List(44232030, 77378876),List(59208236, 26730245),List(62122905, 23212199),List(49878598, 57807480),List(26629665, 65721066),List(74347364, 18942180),List(89776908, 72656663),List(33449898, 6619359),List(78744136, 39941484),List(27717382, 26818036),List(69887843, 41352083),List(33957682, 22665422),List(36347906, 50208311),List(10286799, 34960774),List(41778971, 91037503),List(713678, 16751671),List(66469776, 83939350),List(8178922, 5551557),List(36039502, 5901067),List(38227047, 95247480),List(26837711, 80117376),List(41003082, 47189267),List(37237158, 45896185),List(44586897, 51702862),List(67120115, 91003954),List(64805604, 4090828),List(9832949, 66514185),List(46258109, 44550771),List(35536587, 69828799),List(69597820, 79029545),List(62674703, 42271598),List(56165579, 66196057),List(57332797, 78973945),List(99480158, 18611706),List(18570231, 68005122),List(58905822, 94766847),List(18651351, 50259217),List(12366890, 38029355),List(89729584, 8388043),List(52426672, 57365753),List(48953132, 33032939),List(45772229, 7160401),List(56139591, 85038865),List(2121882, 94763413),List(53444529, 22504026),List(50832804, 85931464),List(66857780, 87761499),List(39907805, 87264114),List(31954474, 10400370),List(40324603, 97497361),List(57974809, 563185),List(78725057, 75417601),List(52890916, 62928230),List(36236839, 26309459),List(35890680, 6831588),List(61297055, 25769546),List(33120941, 7192819),List(61721859, 2098203),List(22783778, 9912898),List(24419971, 86006584),List(63711810, 14897628),List(24022746, 19100933),List(23923154, 33524221),List(3746033, 80042836),List(60365132, 23978358),List(49087915, 98141068),List(35114935, 58273881),List(28074566, 25540811),List(37042488, 25604518),List(78197081, 83612660),List(7173892, 99004982),List(16189258, 94234476),List(82624062, 42128222),List(70976768, 36404175),List(31626822, 61440270),List(32421212, 68982003),List(40430496, 50956580),List(21730568, 2896063),List(11296838, 67908303),List(7948455, 77392405),List(16490103, 65575099),List(36126465, 95389629),List(3407488, 93995100),List(37923912, 89242113),List(79523587, 92528373),List(95105253, 73121147),List(38468718, 49801982),List(52162274, 29847080),List(73713632, 13536191),List(94186773, 37247068),List(38742239, 12471714),List(7389818, 28690772),List(99149044, 99015086),List(9640130, 18200213),List(32117966, 1202719),List(30148209, 46003662),List(40411771, 58498090),List(19743889, 6686743),List(67400867, 66534786),List(42970289, 62502152),List(74942277, 47916177),List(79470748, 55995454),List(4177945, 52888569),List(36098109, 44876280),List(63673757, 88663369),List(74912829, 94282530),List(68406961, 29797417),List(11748756, 94724705),List(32814779, 62710951),List(72712625, 39414508),List(51701417, 9089971),List(12089732, 24713163),List(4198253, 41504174),List(24052517, 99865040),List(38290704, 63434274),List(65708077, 95366714),List(46616380, 65837901),List(42934148, 21330152),List(9727439, 46407987),List(37818143, 33486164),List(24942985, 23981322),List(73647728, 69349010),List(90677205, 56151578),List(46448123, 78935418),List(7432239, 79024716),List(33677342, 86874256),List(99021310, 86456525),List(92344356, 99401854),List(21126781, 91333953),List(11921555, 79998608),List(44037634, 11184215),List(70251784, 97155996),List(8779852, 32600673),List(22364351, 56688380),List(58292611, 8187958),List(31598632, 49482586),List(42212252, 23191337),List(51898284, 32972766),List(19536627, 98653300),List(19125261, 59730205),List(71648518, 30634155),List(72682133, 19025133),List(43023055, 1717735),List(16261883, 73487994),List(21508676, 49031978),List(94394814, 20422948),List(34515548, 10086625),List(59070652, 3485481),List(60741461, 1974741),List(33891546, 57403167),List(9396915, 66104013),List(24223189, 78962655),List(24663678, 21264856),List(52250757, 72997565),List(93394805, 20354602),List(15428192, 82017143),List(67338828, 46237332),List(85839321, 31611806),List(35577391, 57838767),List(55018783, 2297710),List(78625051, 33631841),List(23523928, 50907868),List(41932040, 32844622),List(92017305, 60524082),List(68579303, 58311372),List(61886662, 49666153),List(92269123, 40541366),List(44331115, 95383687),List(45642798, 86152837),List(47032034, 42702321),List(92014477, 88263183),List(34457964, 52420231),List(29895468, 28818233),List(91917186, 98535079),List(66382075, 52781017),List(35929070, 91945523),List(88508477, 97739843),List(64289255, 58003547),List(69088263, 21336313),List(23154488, 90099382),List(55242424, 98528722),List(79864639, 26973867),List(49647534, 35810442),List(31024650, 19368648),List(33255036, 49744251),List(54893362, 41560772),List(89108080, 97637459),List(62048014, 42080278),List(34504189, 9493755),List(85558000, 51325333),List(511320, 46702003),List(55855897, 65405404),List(73583128, 64174523),List(15650341, 17794617),List(2659592, 50291241),List(7746276, 33721506),List(51945388, 23846948),List(49183945, 97870845),List(40617907, 64327660),List(16855332, 14178280),List(96625081, 61743250),List(89413810, 8861364),List(73172409, 67959146),List(4891994, 72358746),List(29103546, 56841314),List(70825956, 71039729),List(29412625, 95701616),List(41074938, 88661492),List(48630438, 70891969),List(73708661, 56416802),List(14995823, 72050755),List(29684903, 96937336),List(45092224, 28690253),List(21881313, 4232377),List(33442123, 78573965),List(48077386, 13157321),List(7345594, 23908370),List(20550093, 42987798),List(8114631, 69620972),List(73401470, 92493742),List(41690442, 27446427),List(71530393, 47043482),List(96302422, 22452839),List(48039746, 9387800),List(28185964, 39587523),List(49051547, 476639),List(16504988, 93104070),List(7511459, 58659799),List(28096442, 21162742),List(416540, 6554769),List(42793702, 30370893),List(26442533, 84253617),List(90288960, 48812590),List(90907691, 35862766),List(11108729, 86180935),List(86504344, 66982541),List(2128449, 92798562),List(95060434, 35372079),List(87154972, 73586348),List(1955920, 66728157),List(24780944, 94800165),List(40355281, 71363208),List(31735183, 81898795),List(68725579, 12500456),List(78709413, 72000648),List(55388877, 8152493),List(39045401, 27406556),List(14972609, 74136665),List(152005, 39306114),List(73636455, 12403842),List(26404665, 52886381),List(3989408, 62736515),List(49776945, 37706577),List(97204461, 71102610),List(63853159, 92404312),List(71271383, 47549057),List(72156662, 27855569),List(71680558, 6639248),List(59604481, 54847341),List(22592704, 53029551),List(39082509, 93150366),List(89025809, 26999992),List(31985768, 89420206),List(13412661, 76638066),List(7705925, 41021431),List(972600, 61859904),List(39846434, 72239361),List(14312907, 69997623),List(39934671, 58576218),List(36991722, 19398722),List(50923303, 5866222),List(37308013, 75009636),List(52408268, 74830609),List(75414927, 94852973),List(76042591, 46754816),List(60562901, 92221191),List(37284983, 60330343),List(7637646, 13487670),List(13782295, 44278749),List(92848276, 95585565),List(33295828, 27521797),List(95388797, 73691463),List(21861052, 1541355),List(33974142, 22720669),List(32580568, 91311543),List(17244638, 96798746),List(33737214, 73406876),List(70119935, 74214671),List(68023143, 35539451),List(44406326, 19886936),List(25864383, 43185854),List(60474889, 83815804),List(34878955, 50489065),List(29686229, 55678728),List(93250968, 15162424),List(92186937, 41687679),List(51729166, 67616979),List(60742197, 75097415),List(58840838, 99601095),List(70190974, 6156035),List(79625168, 22118176),List(89796140, 53124485),List(76946028, 41295394),List(73895255, 75749756),List(73842830, 12069123),List(94221702, 59673537),List(48063525, 55806921),List(86123095, 64428904),List(89322735, 46855876),List(64800489, 3172756),List(53169637, 14864759),List(40317680, 39082262),List(69706280, 53244563),List(6164165, 35590245),List(20288572, 17408680),List(35587783, 75428440),List(78201646, 53372731),List(23498122, 21807512),List(6657436, 54723578),List(90777683, 68197291),List(94645638, 80741652),List(2198509, 12991443),List(33577515, 56811645),List(12633628, 42659836),List(64125995, 41628166),List(5458133, 67716913),List(64978550, 61135125),List(14177113, 47003247),List(28130027, 56206708),List(30125937, 4185691),List(44595537, 91810718),List(28220504, 77387175),List(30736850, 40173399),List(7047218, 50346423),List(2936831, 38932842),List(89549640, 37201427),List(5550242, 83677028),List(44529549, 86139790),List(32264512, 5675206),List(27570600, 98804277),List(12587483, 22141769),List(3735486, 51811738),List(70790287, 82505892),List(81897968, 66481964),List(68950669, 87187357),List(69229076, 88259231),List(7087189, 15791323),List(43115263, 1424735),List(23151081, 59197617),List(42918045, 33050684),List(26471885, 58500070),List(40683133, 22682268),List(99720971, 64172663),List(71616027, 62464593),List(24006188, 73911680),List(2761837, 49663409),List(31046860, 73025435),List(81512558, 75741852),List(83752670, 36995130),List(90943313, 94279965),List(86201552, 85853604),List(37753818, 27760721),List(26216884, 69651792),List(25448951, 71683275),List(2829169, 52436347),List(3628499, 56086278),List(24687979, 47621649),List(89901085, 60030584),List(12441519, 62005673),List(46187144, 78625512),List(28946779, 96958095),List(17082584, 29567745),List(48115212, 12560502),List(25715995, 23735618),List(74819255, 57573619),List(4253618, 95832830),List(70280548, 56286709),List(3032514, 79324924),List(51543973, 38932509),List(30917882, 12530359),List(97726258, 48519299),List(92754932, 40277442),List(94049059, 90096729),List(14375807, 22040918),List(33562917, 10084169),List(7871830, 81056118),List(6921609, 38058309),List(75994494, 22999622),List(60735154, 15708532),List(34294207, 6456869),List(48013741, 26945005),List(12390453, 16504474),List(86994292, 25818192),List(5714184, 41670868),List(96749872, 81349849),List(44019265, 51952553),List(90523879, 85987792),List(17951932, 40058606),List(80645284, 16186973),List(13080993, 90947359),List(77990042, 68000303),List(7085556, 92111293),List(1059323, 4950785),List(20357094, 47122507),List(60086153, 70499490),List(47349281, 57391405),List(53822212, 5534230),List(18417575, 39824559),List(53961358, 66048440),List(43948003, 26944950),List(58999603, 47154082),List(39865553, 88273703),List(39679970, 77345156),List(21429183, 36156000),List(52267826, 96867015),List(98854840, 77627680),List(35594223, 72058709),List(45689954, 62657082),List(58025370, 66997636),List(29653602, 61616010),List(71065421, 85523201),List(58306490, 7276203),List(83538269, 4300060),List(26274278, 74895151),List(93310874, 62195333),List(31466176, 5436030),List(63662339, 44138612),List(98692490, 32860695),List(88938334, 34840054),List(21485421, 35453007),List(63876361, 77069574),List(19728855, 48748991),List(42105069, 72717110),List(53260196, 41996982),List(56759130, 18280416),List(50275072, 67066923),List(71440645, 33653952),List(54589252, 66708589),List(29535792, 46566845),List(85785359, 66223854),List(42532434, 10237830),List(49837160, 52832421),List(46616930, 74664528),List(1562707, 18957397),List(92854676, 8490033),List(37066705, 20353067),List(98141113, 63462425),List(43239093, 81264552),List(42694138, 83239793),List(30121531, 32724733),List(95612114, 45940543),List(75881101, 62891482),List(64574544, 2175788),List(82421760, 38464306),List(99802148, 8897032),List(71992615, 13272476),List(71605440, 75302870),List(94089574, 44583120),List(67472557, 25320826),List(83770830, 19175292),List(16706547, 8194554),List(78018187, 30227231),List(86315856, 33071645),List(1298274, 55876362),List(47930527, 64614652),List(2986382, 66116867),List(63190659, 895539),List(72675126, 12134852),List(83250831, 71381054),List(8906363, 39439809),List(64187254, 15056584),List(44134477, 78239710),List(27298470, 21794935),List(60229668, 8754557),List(48587499, 33098919),List(61054201, 18352397),List(53277682, 5231083),List(67619519, 46464657),List(57885113, 74750364),List(48446746, 81727548),List(97378827, 21783672),List(84747943, 98327764),List(86398238, 40880533),List(35628654, 44307852),List(61748991, 99218222),List(29055549, 95999760),List(78845625, 69504976),List(5352747, 4854766),List(80593170, 32394468),List(91728733, 86690481),List(53423965, 6690316),List(33614214, 46947751),List(43512178, 2487639),List(81512727, 84530883),List(11391583, 41563420),List(26725200, 3819167),List(8268030, 80954602),List(94782715, 1248844),List(1033273, 9047114),List(82446079, 33906178),List(72453522, 30570559),List(55615448, 71636156),List(74342569, 52605452),List(63850794, 58038773),List(67902190, 44393238),List(50690194, 19795796),List(28810704, 47239672),List(78814721, 43642842),List(59374420, 80193291),List(24235587, 59101121),List(39272941, 7669449),List(15972175, 12486606),List(38634804, 33059801),List(11759788, 54453190),List(91824042, 8610091),List(44432638, 75469854),List(35776865, 32710439),List(94098231, 58104769),List(9147468, 92338423),List(40184645, 89889905),List(63171199, 74565312),List(89365483, 97722575),List(51841728, 62887345),List(58412593, 69993127),List(79562145, 97413300),List(53134835, 28223750),List(44929699, 64585841),List(9474593, 66677693),List(30934329, 66391002),List(64850965, 30136785),List(6132341, 22337832),List(91263218, 2813241),List(88580156, 13160476),List(89402018, 29204285),List(87945567, 24525009),List(85288401, 14838037),List(52490709, 56240020),List(52585390, 80055999),List(56945721, 54737174),List(57202297, 17303107),List(19146462, 60763312),List(50506890, 11743128),List(93958390, 47047593),List(61584749, 88677437),List(79644603, 21970344),List(44580116, 64327701),List(71503632, 39130952),List(66348350, 7794163),List(21959573, 80765961),List(72796404, 85838897),List(22906115, 74984154),List(55507663, 43207168),List(83894574, 37310182),List(77012366, 18254052),List(91685255, 95145798),List(34148077, 48665332),List(69122791, 23852703),List(41928499, 58233192),List(9765857, 45951215),List(43613466, 1442223),List(95025413, 13135085),List(69329665, 72937910),List(20172473, 66688272),List(20306379, 60506783),List(57842863, 28108200),List(35705251, 9549714),List(61192265, 26671797),List(80188403, 97156342),List(30173078, 74484059),List(95832, 51440660),List(87501284, 16348521),List(44559191, 2750148),List(82867455, 65440277),List(78404866, 23624923),List(56736888, 75101178),List(35600121, 25230156),List(26963475, 45618630),List(70393846, 91630576),List(11749053, 73770047),List(38027391, 97510477),List(34775227, 67334823),List(82309611, 59670123),List(30481281, 57073229),List(6561676, 20661512),List(22010854, 65860792),List(86882704, 90465408),List(90016755, 92902802),List(33960966, 27527840),List(87324230, 24919776),List(85121228, 48556330),List(45741434, 11391527),List(70022680, 57779201),List(70749220, 83641027),List(64795331, 32663480),List(31459083, 43270165),List(79137836, 25170942),List(72894428, 40511955),List(66495369, 66630540),List(48549660, 31136223),List(94941414, 93869881),List(42862908, 20779417),List(8149217, 90296058),List(54098629, 20650614),List(78858936, 40093192),List(85908114, 38909319),List(37152066, 79146558),List(60061079, 47566488),List(38460841, 29081481),List(73280116, 46215100),List(76148356, 78121648),List(13614369, 50684732),List(88387964, 21090368),List(57693779, 27953165),List(22370832, 33230330),List(911681, 78221401),List(48755613, 49048438),List(89258754, 85380263),List(82487737, 13737964),List(53299975, 84913539),List(94615656, 329781),List(74552434, 16542876),List(19810309, 71820103),List(70513643, 96418334),List(16912908, 43356285),List(24575340, 36687749),List(96138844, 23865146),List(40028410, 11414297),List(4912882, 35680796),List(86029734, 34952710),List(93058756, 55186970),List(87945140, 84031505),List(81767271, 59108536),List(88002690, 7217671),List(46394253, 16796656),List(61926616, 8502085),List(90639242, 67566859),List(99445577, 2387766),List(75237412, 25771128),List(26650905, 69288285),List(15864534, 20272560),List(78821737, 58510462),List(89649018, 10880767),List(14564362, 37985624),List(77712636, 77291795),List(1328043, 71722096),List(76691059, 19738457),List(42030781, 96596224),List(75972884, 63400041),List(1711263, 46713627),List(61415020, 60289418),List(12143901, 8582939),List(59397865, 3035801),List(97006429, 34944476),List(22037511, 86366771),List(34053437, 50611500),List(75430986, 38899860),List(26483959, 80533872),List(44757599, 41825084),List(35090077, 96811747),List(75184934, 52257169),List(35248241, 2798371),List(58195532, 17971296),List(5135306, 96395396),List(69736806, 49880423),List(90463047, 52898613),List(48119020, 82018539),List(43638435, 90231605),List(98688687, 83635843),List(37384334, 88346106),List(18130470, 57404101),List(16632157, 71660220),List(57426973, 91265818),List(50437041, 67923890),List(40398331, 29515351),List(13005901, 7968441),List(84018005, 21909904),List(22141215, 90409293),List(71231398, 99421969),List(84683764, 57632661),List(93985426, 52052499),List(48930738, 48464900),List(97938412, 85078730),List(56121393, 76063020),List(76733438, 99371059),List(44655883, 4352724),List(26876728, 2021059),List(87300759, 42421857),List(52655761, 18928094),List(91262882, 48918568),List(10067524, 77238436),List(36533470, 16415525),List(34049015, 55379866),List(39445744, 17588957),List(45373604, 91622136),List(16287463, 58065897),List(20523367, 27614851),List(8316368, 28698662),List(9150163, 88772306),List(4189147, 29212392),List(96975351, 80041310),List(83443606, 39790515),List(73284731, 41928718),List(92859053, 86431541),List(40504787, 65506833),List(7346671, 11550305),List(74244004, 33480364),List(73445962, 95822027),List(63999008, 59259307),List(75430055, 14828528),List(66121439, 76983621),List(37497896, 40532241),List(42253501, 5110205),List(7738991, 48578096),List(8393062, 59812219),List(43685434, 7443103),List(29159230, 66247071),List(20753769, 28023366),List(75242508, 8327023),List(2084655, 39511980),List(30657242, 14527150),List(22446007, 92303431),List(28659243, 52491007),List(69567673, 25543309),List(84316584, 76249085),List(6304110, 98924627),List(24771789, 89416062),List(67791138, 51849243),List(26302560, 20610753),List(94521150, 45386582),List(83535571, 16215706),List(95236224, 36150734),List(757879, 35947924),List(93135028, 44272868),List(77722462, 40575193),List(85931918, 20335123),List(73623653, 49275953),List(13294815, 58404286),List(6286296, 2511388),List(88549915, 26718556),List(8701130, 29679316),List(21927198, 77505901),List(1406209, 62518823),List(63523428, 86070130),List(6075728, 30397611),List(14431870, 35867457),List(68725447, 54090095),List(5141519, 8373786),List(66358064, 36819371),List(78735432, 26665804),List(1029596, 78161505),List(26803387, 66540058),List(21045991, 65453614),List(85061892, 26569490),List(70425621, 32974574),List(13600220, 817081),List(66288419, 14929429),List(28388079, 62967348),List(34551773, 1601402),List(25909084, 28711204),List(17546697, 1729471),List(77678073, 59371038),List(66553358, 28378200),List(2465269, 75991825),List(95667427, 63206739),List(71656201, 28546635),List(45321457, 2026207),List(52124768, 87955308),List(6452368, 76579897),List(7531326, 15802319),List(23794767, 85338106),List(3055693, 22403514),List(85582398, 3681908),List(66368240, 21534046),List(9252008, 74465618),List(75433144, 28099862),List(54163449, 29808005),List(96687129, 95808110),List(23858902, 33441177),List(91681089, 40190921),List(52605785, 45330436),List(8007923, 40156189),List(62917390, 65598119),List(37456514, 45182473),List(84710660, 53929750),List(10178150, 54748403),List(67802633, 17759493),List(59367663, 12637573),List(3632327, 45375902),List(59412559, 71815550),List(42593412, 94095959),List(17052529, 16460288),List(77488168, 71125721),List(43364886, 60325539),List(55082732, 42098275),List(31036495, 16682231),List(15671303, 71328146),List(63094061, 86328474),List(59925894, 11380064),List(86415286, 14504872),List(48279896, 18977359),List(21815875, 93900982),List(52156770, 78617510),List(38074685, 80828793),List(678662, 21526980),List(23105023, 64950450),List(17848966, 70202342),List(85852196, 23822869),List(49043983, 21524836),List(36085759, 9102619),List(59767500, 80403809),List(52212383, 64692076),List(84912389, 48197713),List(25801861, 43370244),List(77986794, 81886061),List(99818853, 60955529),List(38402025, 60233029),List(41445899, 80168905),List(7965472, 92843088),List(55920734, 86482476),List(57416607, 45719165),List(1439203, 6841075),List(51636541, 94740487),List(10327339, 2379217),List(17382145, 89025108),List(78405881, 18706149),List(59162609, 53058411),List(56392170, 25348653),List(60764210, 21631943),List(74058959, 78056614),List(95551482, 13361882),List(31799708, 16755457),List(78374721, 51218310),List(82464467, 45066182),List(43496006, 9836067),List(69911971, 54917673),List(18976493, 42358703),List(50059494, 66645737),List(33370449, 54689342),List(46187886, 17640559),List(61662974, 13995226),List(53578666, 8944372),List(42201912, 40542303),List(94139843, 23314712),List(82185297, 48515051),List(53154266, 67233250),List(87569955, 42557008),List(158628, 15048923),List(44234029, 55861047),List(41078910, 18047962),List(65484091, 43139713),List(6898119, 75396930),List(49384717, 22938946),List(42933180, 16794429),List(29557736, 44102898),List(94499948, 66703685),List(51284718, 54173935),List(34561626, 28306886),List(9422703, 32268319),List(84334450, 49071636),List(43756303, 37363954),List(52202133, 27915824),List(50281424, 71260463),List(426594, 64370602),List(38966975, 47813749),List(96820524, 30353618),List(4435496, 98755517),List(70154002, 28571031),List(66331244, 63978327),List(52184169, 57157206),List(29670660, 98605152),List(3544597, 56999327),List(74927608, 24676101),List(46390207, 3693391),List(36614008, 39945538),List(45938327, 18830294),List(60142602, 31802241),List(88298936, 59842975),List(71837369, 94982999),List(54797110, 92877013),List(64499391, 52996468),List(57631672, 61535813),List(33588734, 67282107),List(65150111, 59273365),List(48370994, 75538167),List(31216067, 56666773),List(18772779, 45373956),List(92281836, 44569251),List(30515211, 23520973),List(78639978, 89342742),List(83931550, 41803369),List(54765868, 69584697),List(29707105, 45058897),List(23509680, 6224847),List(64521485, 36433501),List(72015731, 24764680),List(15677103, 71870598),List(80431230, 70758563),List(27158, 70036308),List(47687164, 62175780),List(62927330, 9178192),List(25361828, 66398651),List(31921792, 77655077),List(62075195, 89352241),List(52418727, 8578317),List(2412379, 99606081),List(39719133, 21975130),List(56356475, 45241739),List(43812715, 73753403),List(12018814, 78740046),List(85130091, 59821848),List(24559963, 36534576),List(85025176, 89599736),List(97459767, 99227571),List(75124290, 34227270),List(43764113, 97011837),List(7063606, 42438927),List(76091667, 54605424),List(6684633, 27050368),List(76157970, 36838920),List(1618198, 77242704),List(51647223, 93937707),List(89124056, 12691798),List(6694193, 39888976),List(95863815, 79587884),List(23248907, 57549989),List(26806199, 52202883),List(89508974, 70217543),List(25760522, 20830559),List(34253126, 31053614),List(94236993, 38852217),List(51955754, 99011388),List(80143411, 48636518),List(79092392, 1843794),List(12582886, 42595272),List(39853318, 63805879),List(88829564, 80396704),List(53207143, 99065735),List(7472039, 37027450),List(57254705, 93022087),List(93823238, 43297504),List(68674978, 20606634),List(60815569, 82708499),List(16265239, 15154878),List(60905185, 80173818),List(79114923, 84152952),List(99710483, 43032688),List(63374087, 88381051),List(82777973, 99123684),List(94085721, 34487337),List(28141044, 63199909),List(60484278, 67088233),List(47027618, 80448971),List(88589773, 491871),List(21516347, 36124261),List(31487531, 42778932),List(10810934, 4661379),List(41714938, 73721497),List(94298311, 23863846),List(43729267, 67109422),List(56033457, 38380142),List(6850528, 6856742),List(48922916, 88913066),List(95856241, 76050811),List(99515441, 94470077),List(24024449, 60137378),List(99086460, 22659438),List(549149, 76722634),List(8657031, 73355192),List(30625510, 90523222),List(28363979, 40792770),List(13412774, 19594830),List(35428999, 35350449),List(44936539, 74138739),List(66910695, 16562169),List(53164842, 42941420),List(69908060, 25823064),List(41587871, 47893470),List(66788495, 5072319),List(29315916, 25653639),List(9088876, 6197126),List(49692644, 45132052),List(35299768, 44361388),List(78997668, 37240000),List(57332106, 28689867),List(7424697, 93994289),List(70882758, 18122228),List(66452167, 52360096),List(37853078, 21829184),List(4232945, 90837235),List(6219091, 22453054),List(82558380, 57762792),List(48432898, 53387111),List(37083466, 35883002),List(553176, 98589413),List(82511851, 61429020),List(84212065, 51991820),List(1725978, 12395716),List(68549392, 55395341),List(10199409, 62565309),List(74499004, 48106413),List(85104287, 19207196),List(97926228, 75998691),List(1011042, 44456934),List(49407273, 79281001),List(53199372, 31257743),List(29194441, 47643509),List(75473886, 43205556),List(20444892, 71873942),List(70144180, 40723017),List(74929950, 85632948),List(92865216, 13298701),List(74642330, 37644746),List(68032686, 92135031),List(32300993, 1325619),List(1187224, 8629796),List(26961545, 44053731),List(12703172, 41117473),List(66510870, 1914786),List(2482255, 21621231),List(77500466, 97106425),List(51276732, 35624365),List(74605264, 5715612),List(67881542, 77788745),List(1300447, 43467497),List(73036505, 79284868),List(15145485, 59532208),List(22254198, 97977221),List(51711177, 96331531),List(40944898, 37153688),List(23072757, 53171571),List(52800915, 14905793),List(74278570, 49038300),List(41458501, 11284930),List(67412343, 41934591),List(77282637, 32120963),List(96272158, 42662694),List(27105383, 70797854),List(30568568, 23187666),List(2664172, 56971487),List(96748685, 62146300),List(92376992, 25987772),List(26726459, 26572536),List(51813122, 35806051),List(6511399, 7182107),List(12361018, 2316725),List(61221376, 35166480),List(17520433, 68494846),List(34485211, 98328422),List(71584003, 98635008),List(94631946, 97854522),List(32993612, 16567067),List(72042528, 31352763),List(17233397, 16239722),List(33985298, 33448876),List(90382170, 42748581),List(59696904, 51110311),List(34915801, 58293776),List(38286400, 96609439),List(92389645, 44352124),List(23192063, 79586567),List(43605061, 88978491),List(28570260, 7469015),List(81589056, 16034916),List(33168383, 87160453),List(48666331, 50751890),List(87505796, 99450139),List(94277843, 88345697),List(47336263, 43309254),List(4189919, 91432964),List(93157821, 40404170),List(48935049, 5902541),List(49579129, 58833389),List(23107625, 80669966),List(84706377, 74326296),List(21520342, 31046138),List(11993826, 11062631),List(36355295, 87508152),List(41272408, 64851942),List(38237024, 70432151),List(42848614, 54870205),List(3927917, 20452665),List(73697100, 2544717),List(46592155, 76012878),List(46822651, 21301326),List(98672730, 4175581),List(31620133, 91164654),List(17716763, 61764041),List(83073485, 35026468),List(5948352, 67549503),List(49194571, 58480426),List(89627849, 85735886),List(89044850, 37452441),List(74964459, 25264344),List(16734863, 15568910),List(3870369, 85241176),List(74116965, 23856385),List(31122903, 52367062),List(47947030, 23229500),List(72897561, 49153049),List(30851991, 46805972),List(11391530, 64801755),List(23814883, 98331096),List(94530464, 73004884),List(71706502, 63353021),List(20665872, 24493285),List(37418993, 96343629),List(78989873, 55296432),List(37656981, 90722233),List(9994865, 48152027),List(82978622, 82694085),List(96313243, 53582455),List(65022379, 35642539),List(5660872, 70948225),List(8093646, 53096356),List(62721394, 55632887),List(96396177, 80168717),List(6775125, 97255834),List(63903213, 70025718),List(12304548, 15558087),List(71342572, 96571151),List(68847189, 57252144),List(88432340, 11105087),List(25262678, 26968505),List(88814486, 48894969),List(34481720, 1754933),List(53189601, 34828218),List(6195942, 99049937),List(61494014, 60228209),List(52269237, 61461645),List(36970935, 16762008),List(18183448, 66133243),List(65591916, 79159437),List(39327934, 83413063),List(45111353, 16151650),List(42340433, 78994668),List(87540695, 78280455),List(27082941, 2781342),List(12719374, 9723319),List(72473510, 8289137),List(59828558, 65502365),List(93770224, 7291200),List(71430624, 6441436),List(51890742, 72562177),List(71887492, 40360464),List(50111363, 87669071),List(44366294, 56133848),List(55426451, 16860630),List(79214790, 86266076),List(70541954, 72659638),List(86339770, 10015929),List(99847013, 19566370),List(4096835, 90842183),List(1566822, 72942392),List(97632881, 55990233),List(41443456, 72975647),List(16643668, 11462713),List(2286102, 60994284),List(87251477, 67926464),List(80395863, 78947465),List(7775072, 50627569),List(76830844, 85108672),List(24868906, 91342563),List(88233471, 57013574),List(83932584, 45683544),List(54170542, 19224697),List(6129197, 7969386),List(69402320, 28790726),List(88833412, 72245827),List(42694921, 31719495),List(5939406, 89586678),List(56351427, 24946256),List(40933369, 43547593),List(10574048, 15907312),List(59241241, 6035344),List(22814299, 98709775),List(54802735, 67708364),List(97678907, 70091555),List(65497161, 28869686),List(42519361, 23264437),List(7365970, 50571519),List(54895850, 76427808),List(74332053, 1366384),List(31219071, 51538785),List(35728104, 19927829),List(85779456, 6047499),List(88110015, 55927244),List(65895400, 6425210),List(49565328, 17934625),List(30624616, 61857911),List(47745379, 7508913),List(58108995, 80610168),List(49398587, 26369635),List(67854977, 63680128),List(53684132, 67408405),List(75939549, 26639334),List(39836298, 49486895),List(11461136, 87980273),List(61664889, 98466109),List(27944037, 35179374),List(83270677, 39479188),List(99406043, 80821105),List(24704950, 22452246),List(57427889, 31048074),List(55078297, 46938369),List(3063491, 35830592),List(17289250, 11268898),List(59874674, 15472056),List(23299374, 71222249),List(54828459, 67596046),List(35401808, 25736507),List(32227323, 155371),List(70221066, 76308246),List(64493642, 3875994),List(57609689, 2986648),List(9512262, 58199160),List(99778815, 435745),List(29007976, 56031320),List(76039735, 58140964),List(14668705, 39797967),List(75181728, 6584653),List(68517588, 56857959),List(75966566, 52661972),List(311607, 3733220),List(57654752, 26281764),List(71436811, 58671877),List(85166461, 5805796),List(47192833, 17418059),List(83830392, 90611285),List(74913143, 61030484),List(39061220, 98206290),List(24801682, 91123731),List(8324724, 5768691),List(28194659, 44245051),List(89826671, 18082016),List(76188324, 66038440),List(37087814, 71172843),List(49280201, 14220359),List(29345449, 93889517),List(21797092, 13618962),List(93489471, 29319426),List(30843538, 94974638),List(3931642, 57583725),List(78947044, 6238541),List(57160148, 12768298),List(60588881, 53353692),List(68233996, 54321627),List(793178, 7078510),List(94209979, 59468028),List(1927589, 23754760),List(75116351, 67499871),List(67732483, 35875487),List(93168115, 15253841),List(85311505, 52803652),List(95614153, 2541886),List(10701669, 38854045),List(40501419, 56073972),List(62033967, 27688441),List(88467725, 60459326),List(82201921, 69483726),List(50381877, 19271183),List(72200702, 37301561),List(32727025, 79627840),List(86148189, 86357277),List(3646734, 35351283),List(42671545, 11982793),List(29448935, 96911073),List(35563289, 77858675),List(65539587, 51255448),List(98741395, 29931098),List(42290031, 42142263),List(24508407, 85676535),List(53015795, 89410510),List(55602287, 39951339),List(71688048, 17469362),List(91522885, 1482301),List(13449855, 16695384),List(87523412, 94740228),List(99594927, 44567567),List(7605973, 85567485),List(91799183, 17674214),List(33461336, 52055618),List(81994580, 49330656),List(50113481, 28543696),List(71656134, 95507049),List(31666396, 15602627),List(40266716, 55654832),List(709026, 41556015),List(44906893, 89446015),List(8188428, 53592894),List(28993340, 5561626),List(21779798, 26493379),List(82638970, 4373224),List(88886302, 79294681),List(66902957, 79403616),List(40363556, 11078501),List(53135612, 93964694),List(44559852, 72577243),List(7934925, 88374054),List(53838967, 6260433),List(79789591, 7652200),List(38448164, 29723301),List(8256282, 12641351),List(42387287, 91815542),List(27713403, 73185119),List(15029385, 94940185),List(22825999, 43230950),List(36516043, 67142225),List(46970134, 86426149),List(96280702, 58128028),List(19242811, 15090654),List(46049861, 500010),List(7513745, 34110092),List(62060638, 47528666),List(27798179, 76975766),List(77893998, 43088586),List(38230203, 24234191),List(38841261, 80546704),List(34614376, 59186016),List(67772060, 15236133),List(24883028, 18593003),List(86618883, 16336076),List(10685833, 52550022),List(10237008, 75685270),List(62448051, 14964044),List(71849766, 27582562),List(69080552, 45488525),List(72503548, 40204690),List(56051849, 74857189),List(21703583, 90880105),List(71225319, 13788261),List(76405066, 74996948),List(61114809, 23572583),List(98830356, 35597215),List(87872570, 33663044),List(13224206, 66976150),List(78985664, 15674194),List(47388930, 69433934),List(2117822, 52349940),List(93037750, 59713754),List(37729073, 31727954),List(22070170, 35565310),List(85637521, 13259938),List(72713668, 78827062),List(31760616, 70907617),List(69398954, 29720964),List(57905581, 19683228),List(81167339, 44136112),List(56566221, 44376373),List(35194009, 13799658),List(28138255, 79111368),List(88162292, 21951397),List(56931673, 88200193),List(50056649, 50493166),List(37241574, 8674061),List(85071598, 23007867),List(95530267, 15002267),List(98475324, 5691197),List(92454662, 13109917),List(35306060, 15322107),List(98314867, 83593645),List(9279531, 45971486),List(88042964, 74211406),List(68835448, 31415237),List(10633669, 92312840),List(52561192, 17969577),List(7306090, 31443462),List(90744212, 24725317),List(31753878, 45289277),List(15740323, 44200257),List(67477081, 14151861),List(11116279, 11822354),List(68111508, 60356442),List(34937035, 4526685),List(75405140, 61915445),List(47327877, 62198679),List(31375120, 72050324),List(89885861, 49587179),List(85176125, 88208960),List(74308947, 48725479),List(52101758, 8266239),List(50630739, 93813479),List(25622715, 2485589),List(27759012, 53890002),List(42288822, 65673020),List(95153366, 43089510),List(7255516, 68111305),List(72006259, 92937301),List(61713359, 79154085),List(8633990, 89045801),List(16061689, 17702320),List(22890137, 76114360),List(53358353, 94991902),List(76174620, 9877557),List(8785226, 71811042),List(92327118, 46888218),List(77257593, 62758494),List(23323661, 95558482),List(5607733, 32094433),List(48256411, 38138271),List(47748277, 80378450),List(57016119, 15201479),List(98454995, 4687219),List(27484045, 94558378),List(76425990, 70715546),List(87918350, 94608037),List(31188905, 34333330),List(87828752, 62116170),List(34191228, 19534742),List(35156192, 75029508),List(14802659, 80779453),List(49289464, 29292461),List(14293837, 25913567),List(6854288, 8366987),List(9383195, 65940305),List(44569226, 85555654),List(37386886, 28556920),List(53276479, 65425788),List(3327869, 46082739),List(52295383, 25460205),List(76647729, 83400709),List(17206262, 42632222),List(77107933, 1088863),List(25025978, 84199354),List(81932456, 77753596),List(95614165, 70150665),List(20856764, 72675386),List(7027722, 40894828),List(18325214, 4286430),List(26616372, 63699195),List(13141958, 57392722),List(96737093, 50915430),List(13763346, 90652654),List(43413309, 82760851),List(68341040, 38277194),List(96842427, 30447605),List(55012019, 52965638),List(36649784, 27690994),List(98716460, 32633650),List(47272645, 33783422),List(83391516, 22438101),List(1591341, 98385512),List(46210442, 57132742),List(22741437, 7874167),List(49506596, 16071797),List(77157123, 76410439),List(91002966, 61039019),List(52829357, 9661072),List(46613520, 75365023),List(65739934, 713495),List(48723220, 5512490),List(70829335, 2056414),List(54287944, 30583072),List(73497153, 44916382),List(19926215, 96979737),List(46938424, 5778303),List(84862408, 60416951),List(55710333, 66609156),List(81642353, 65007768),List(95933358, 95889962),List(50199740, 94767233),List(88254427, 44435584),List(47316621, 66282913),List(65666407, 1498420),List(62480606, 31167947),List(29544609, 51735929),List(85852826, 12239888),List(88687609, 79091099),List(38749097, 50095462),List(40990214, 53610264),List(59686940, 9151234),List(50697532, 13491264),List(30886589, 39437677),List(48136186, 90367405),List(86923450, 81282465),List(49241656, 46852333),List(39619902, 75838863),List(25111947, 84784617),List(49053119, 22973223),List(12778522, 42653823),List(32976725, 39062186),List(7701845, 69992006),List(24702806, 31622796),List(39028580, 49223691),List(50825523, 69171942),List(51647768, 26232054),List(93245087, 28121217),List(41935960, 48679788),List(53044244, 66268725),List(8324981, 15857902),List(32248021, 73582637),List(52465931, 67903073),List(90114408, 32025315),List(27415801, 46805277),List(92151271, 71498058),List(98123593, 7617802),List(11019797, 61154670),List(14394057, 53012285),List(49702508, 52356621),List(58959795, 58434612),List(49432983, 39526473),List(72178694, 82811484),List(99936347, 28817604),List(61246390, 54913184),List(27001676, 77953573),List(98707863, 78215299),List(27462978, 20247481),List(3169439, 78895929),List(50916902, 48588403),List(61427362, 42419240),List(50253831, 23776626),List(8917299, 46984604),List(29267190, 38085885),List(865528, 61415338),List(80964892, 5364783),List(7256219, 87211771),List(4811259, 95569005),List(13529672, 12397261),List(98627262, 86335720),List(8203860, 51359036),List(2299003, 97267643),List(10942071, 3172055),List(11720977, 61709170),List(56156110, 14734681),List(5909066, 70531024),List(6753920, 92647946),List(63965426, 92928176),List(1883256, 17294571),List(15527298, 60194050),List(86595650, 76112317),List(46194002, 51328027),List(76796246, 57287693),List(80428535, 18730900),List(71740983, 42493177),List(55152501, 67582247),List(58474796, 92967210),List(11816977, 46071387),List(71317667, 86594539),List(3624799, 10675714),List(20944621, 88029373),List(30365710, 49701844),List(88380315, 31934875),List(27461604, 74472163),List(92707373, 11059251),List(58354194, 28737163),List(51534825, 83732658),List(6857951, 50378999),List(32975016, 94538893),List(15911130, 8070500),List(64611863, 73846177),List(61680516, 40456333),List(99837634, 75180556),List(58383798, 67242914),List(29690085, 33239179),List(791300, 33505972),List(72196879, 25030060),List(5519041, 19094196),List(26840776, 37811270),List(66243299, 8267001),List(77747323, 1360745),List(14092792, 76113337),List(86905604, 60358493),List(50234387, 54225906),List(58195914, 87318657),List(47264762, 68398675),List(19201117, 75974661),List(45581891, 86737992),List(18168987, 19408921),List(53642269, 97467474),List(36837308, 76301026),List(51908500, 96169990),List(13321840, 66559972),List(76008209, 57562587),List(44783881, 26742492),List(20259739, 59808598),List(96972915, 65537920),List(95688402, 83347082),List(40246890, 92685695),List(17636477, 49003618),List(18192752, 45558542),List(52198283, 3075007),List(18758436, 83404180),List(36635060, 92615326),List(85681755, 38871490),List(22755385, 79116831),List(46299206, 76451413),List(24198006, 40376040),List(27126708, 52135832),List(72858463, 95621639),List(10618406, 12826329),List(53367959, 53678782),List(57973486, 44784294),List(2027101, 10086800),List(95365220, 59426216),List(58335343, 47733823),List(36710358, 73457173),List(86768114, 42011702),List(94103414, 12093383),List(66693521, 8454347),List(91467280, 62516572),List(2402659, 21223181),List(45566784, 91643681),List(61547083, 65044761),List(83350459, 35828092),List(63847156, 21671486),List(60986385, 10730598),List(41236411, 86561411),List(86068320, 4493207),List(13060575, 39051634),List(16882285, 44664449),List(93607795, 31097434),List(5225761, 20818616),List(31328239, 51874837),List(9291602, 16797764),List(83108662, 87799997),List(52775931, 97312943),List(39531510, 50814319),List(69313835, 69177660),List(10547111, 3338376),List(58103529, 66485726),List(44387317, 57609391),List(48378099, 53518905),List(10385452, 45069702),List(45406469, 73764174),List(10597714, 67432637),List(70384199, 49045264),List(33252691, 50993846),List(29213511, 49848410),List(41746101, 97609785),List(54578455, 15915280),List(21388822, 57225882),List(20194491, 79995685),List(56323931, 24356674),List(90618199, 71860063),List(46515440, 653690),List(74827607, 27993034),List(97669631, 17116349),List(62054511, 45321935),List(37255700, 85380511),List(49072268, 31002871),List(30849460, 64694504),List(22810023, 36967010),List(63022177, 94854720),List(33659657, 56662074),List(39458707, 71449892),List(8690438, 69498920),List(71886985, 50672396),List(11599936, 86780376),List(90917995, 49060539),List(99609391, 3681003),List(930389, 62753604),List(18927514, 86073867),List(78868572, 8768377),List(68439665, 47739984),List(81720630, 2734481),List(87380073, 28109799),List(87874212, 19909425),List(35106214, 72336195),List(84258137, 2183578),List(67677511, 13357735),List(76294965, 95275668),List(6772265, 71983895),List(700562, 12807652),List(59281291, 83281767),List(60183347, 50133354),List(94979132, 48696273),List(3580375, 62799249),List(21306002, 79213136),List(44329451, 41503989),List(45074605, 98901817),List(92798586, 77067199),List(19858078, 77069787),List(44011583, 65423315),List(12421160, 58958919),List(49379533, 13198567),List(95574295, 37240186),List(82757977, 44835879),List(1992171, 36643737),List(87005619, 84550027),List(50713674, 5828412),List(95896935, 13691583),List(90303399, 63039986),List(72606219, 64407329),List(86752000, 27896864),List(94093159, 79462748),List(94846626, 56972354),List(17676987, 47307907),List(71915303, 38139531),List(88469683, 51518981),List(68984954, 52328501),List(27221848, 17962171),List(21765544, 7843928),List(55907295, 14470466),List(47106701, 39148256),List(51027239, 30902764),List(31213090, 66384667),List(71512752, 59768375),List(36231310, 82854593),List(52713778, 59740210),List(39103249, 40986727),List(67769016, 47272990),List(21655640, 41887871),List(66823458, 34493061),List(88212028, 81829271),List(91378593, 49181338),List(12840489, 733836),List(44239138, 21145449),List(44565584, 36256727),List(23282124, 76462187),List(96030320, 70382056),List(77147106, 25918353),List(33455885, 47240875),List(72633908, 58037071),List(97321038, 92316189),List(69048566, 71341187),List(1192365, 49740017),List(92254235, 9100500),List(31837030, 99528329),List(22310146, 31836521),List(50511249, 77280752),List(68733745, 20170190),List(61132384, 63542836),List(10857822, 48588159),List(83665422, 45148055),List(64711212, 7356078),List(9513069, 9419743),List(37996529, 17422150),List(82574304, 78013687),List(58976717, 33324747),List(12587759, 90171939),List(60300817, 34565875),List(41745818, 14245791),List(19254048, 64705584),List(93687218, 74097084),List(77312012, 46936387),List(75395444, 78928100),List(65822605, 49504947),List(48587418, 39547321),List(54173612, 93478133),List(55687514, 12435771),List(45017297, 67296375),List(65438415, 27557261),List(63632999, 61231386),List(20160474, 53021880),List(59322139, 67832967),List(91184572, 30773847),List(66962590, 42548493),List(20318454, 49115026),List(95385331, 22828383),List(97876998, 13828352),List(5382902, 72373713),List(41459891, 18971668),List(33541051, 29945737),List(43895785, 10717624),List(11487281, 8404141),List(10916888, 41560623),List(99919720, 65569437),List(2231419, 54670832),List(5137695, 56216717),List(15098533, 11176735),List(13336096, 44628013),List(16335177, 86161488),List(99838933, 50399708),List(65278112, 63852179),List(9956643, 88475527),List(56639804, 13233668),List(41954765, 72570630),List(94217098, 91218052),List(34903772, 35531156),List(86139159, 10283641),List(59658399, 51145135),List(51636291, 66999588),List(89314166, 46778275),List(30893693, 43169299),List(23106015, 98127432),List(78512393, 93102123),List(54096413, 28342731),List(87471745, 88036564),List(20743274, 50539246),List(93777122, 5613597),List(66422858, 58440196),List(42707310, 69350748),List(91478933, 93325581),List(39917139, 8926960),List(77950369, 68716968),List(29142003, 95159459),List(84164981, 40283545),List(703777, 98583786),List(76722637, 59801659),List(16652749, 33478261),List(61976348, 62497305),List(99099608, 2086573),List(8811394, 1570100),List(80828526, 85368370),List(51293366, 55170445),List(77545877, 51636335),List(10434577, 48945432),List(87126058, 80200180),List(95449318, 14929074),List(18975582, 32761442),List(71873837, 16104763),List(3074288, 35618655),List(15542368, 20631272),List(52667792, 82693448),List(48454155, 8428109),List(49182806, 59801024),List(15406529, 13086504),List(79467322, 41082535),List(21458583, 3008525),List(23774683, 53883157),List(21535686, 20210206),List(59016705, 94913071),List(81178053, 52605002),List(55241212, 252523),List(76733030, 69069367),List(89277652, 46786008),List(7848210, 96113674),List(97927955, 80334406),List(69435400, 47735622),List(22233513, 29820488),List(54123814, 10747313),List(22229274, 80715833),List(58181126, 79754410),List(74356709, 38193060),List(87093413, 74469093),List(82677060, 85054561),List(55975015, 80667766),List(60241433, 93634007),List(26750765, 36988534),List(80269656, 87344299),List(53556415, 13389715),List(18917508, 10109558),List(18646847, 67217663),List(18180784, 11709327),List(1789562, 28071067),List(54004539, 71052224),List(82141342, 44479049),List(36732746, 28515912),List(34873354, 57669183),List(33133142, 57573069),List(73074391, 15316368),List(377670, 40571387),List(30800125, 5047769),List(62577890, 83152390),List(37026455, 90944590),List(34230661, 64650274),List(82261424, 35705997),List(97158544, 47378883),List(12560583, 522205),List(60015441, 441418),List(37104042, 94701273),List(37934026, 61153995),List(30641605, 51252336),List(67565945, 28281127),List(26035346, 63663531),List(23986746, 27154761),List(38940554, 39713811),List(40741554, 62991615),List(37674011, 74048670),List(77018064, 79460503),List(24980741, 85909190),List(38921661, 33400623),List(62412400, 92054440),List(9501227, 5586088),List(60745716, 8831786),List(72524185, 69909678),List(7455958, 95695732),List(65643783, 21918762),List(91538341, 42095373),List(93757611, 90639430),List(28643325, 54457748),List(732713, 82198165),List(75122808, 51273731),List(82247928, 96162145),List(1912104, 71414288),List(37584740, 88655205),List(1775411, 61892910),List(11508239, 91784126),List(93252534, 66161849),List(61789895, 97578437),List(84705803, 76543407),List(26724704, 25837902),List(98905805, 45554585),List(73015597, 97747154),List(90742657, 87313262),List(35728276, 72541008),List(56487118, 90065158),List(710605, 80177209),List(23380013, 91843226),List(1997941, 4438505),List(71818294, 30594982),List(64938526, 50989803),List(34187601, 74614961),List(55729709, 99982290),List(56166637, 60189370),List(66445916, 56877905),List(17666836, 75804927),List(27741114, 39254548),List(1287107, 52110119),List(34745337, 94488452),List(76490021, 33109306),List(36239530, 29892164),List(77877629, 70747331),List(74902003, 11849095),List(15199993, 91555325),List(94450552, 64131160),List(86940796, 95503670),List(89631550, 42760724),List(95951701, 68377364),List(28418270, 50232060),List(71511983, 49126237),List(43659662, 92211624),List(8225488, 6050138),List(11419103, 74952893),List(45439893, 70106954),List(41945514, 22973360),List(23221315, 65057221),List(95276435, 90733377),List(75752327, 82082685),List(59110478, 96175877),List(24835876, 59245631),List(9812645, 39549549),List(5625551, 55037126),List(27647025, 78935846),List(83942058, 74804037),List(15341105, 48502386),List(36411632, 34515368),List(88262372, 78968515),List(51638189, 52298331),List(41275378, 18776054),List(23706304, 42889478),List(64874784, 52425200),List(91608736, 64132530),List(92103537, 23274022),List(53093652, 44085780),List(64666755, 61799011),List(75785032, 78134920),List(89571955, 8627),List(43615828, 30661736),List(42297647, 32123652),List(79087366, 80395466),List(94605470, 79231885),List(88826242, 29602898),List(59811405, 48491790),List(22462727, 11744297),List(78304178, 30039023),List(87840437, 56192978),List(86348140, 14841145),List(93426078, 93020718),List(35549313, 64083745),List(79098447, 59459409),List(11602523, 20709682),List(24481037, 37632103),List(2283242, 6025259),List(33222109, 7884376),List(74775611, 217924),List(71939834, 22735120),List(36666129, 72957588),List(30086941, 31782197),List(83822605, 79760431),List(88315999, 5100435),List(38346567, 81913787),List(63689323, 81528846),List(54396434, 81189274),List(75921975, 8622069),List(69551567, 53136732),List(19694748, 1974377),List(84893991, 74044931),List(47596052, 48691640),List(11782518, 58270676),List(60277234, 30360612),List(91175614, 64645006),List(71461501, 61135301),List(12840944, 45295105),List(77092289, 8206897),List(54208488, 89141726),List(75260203, 2616754),List(48610832, 643542),List(92233813, 7264429),List(1135344, 5937431),List(55492343, 14555915),List(60102915, 12143850),List(68071126, 19773681),List(44843671, 89509114),List(20699950, 91046922),List(59280072, 99941818),List(67684460, 7561982),List(1758599, 83762449),List(23595261, 20547301),List(2822716, 79837835),List(83227560, 62280316),List(55436177, 50607746),List(3784710, 98269741),List(5041699, 51075926),List(16752661, 13696035),List(15900028, 20083504),List(8995336, 20274767),List(97986112, 11792761),List(32871528, 70532985),List(90581058, 71313344),List(10102452, 45013165),List(76494102, 31338988),List(65685611, 15077043),List(91167046, 6275835),List(38777406, 23055104),List(28970203, 21048729),List(33808605, 66984255),List(4037929, 64116276),List(48314528, 71006850),List(4283981, 77939813),List(77412529, 70354084),List(28240694, 60324761),List(71124117, 91032925),List(3945517, 56211617),List(30309608, 6016406),List(61382187, 75195275),List(10409360, 64718606),List(22393938, 9640972),List(80364901, 17302290),List(62292918, 63387706),List(16454469, 43779055),List(97632737, 54494080),List(22545603, 2868317),List(14629268, 31173728),List(86437492, 14149074),List(49158503, 89227297),List(85010577, 25556293),List(48571007, 18710779),List(50865586, 50714083),List(16844603, 78922237),List(40353228, 15266521),List(62292644, 98222609),List(47952292, 13758517),List(70542947, 30796145),List(36368328, 31539455),List(3492969, 41734477),List(73924775, 10047941),List(83915470, 6553659),List(101415, 31062524),List(56238305, 61506258),List(56274194, 62102954),List(29253781, 27492377),List(70551787, 30810659),List(61123491, 2587608),List(81526095, 58173568),List(81529157, 83187521),List(60299441, 89557684),List(53134565, 15574698),List(55041467, 66873771),List(24289889, 49258225),List(50356485, 55407558),List(24679619, 47403120),List(58745431, 46592855),List(44753688, 25487010),List(35165536, 82706956),List(48523293, 64064969),List(45704687, 2497447),List(75073164, 16202581),List(22284931, 92046956),List(33613576, 82509413),List(43215084, 12051179),List(24180035, 24901165),List(52916766, 41136456),List(18914912, 31594149),List(92233282, 75441928),List(97952956, 69686013),List(11889752, 37916757),List(83780870, 43350529),List(48289725, 23633460),List(91639711, 41092702),List(57742996, 97639072),List(78255084, 276457),List(32725974, 11073515),List(69815653, 55694947),List(95722895, 75940268),List(51419806, 86471138),List(65553164, 13953070),List(72761439, 73780852),List(55069096, 55142613),List(38160785, 75844328),List(92309646, 95759137),List(63433731, 57638824),List(90609156, 51550467),List(12826013, 6782658),List(61259247, 54985539),List(92748256, 75266920),List(82166401, 25372177),List(83055304, 18622696),List(37041395, 59682738),List(46839546, 33882817),List(92287613, 12265785),List(34303801, 41940326),List(31711080, 75804343),List(79305833, 98045270),List(15221742, 60178324),List(56819331, 51203226),List(80820413, 83600793),List(21561097, 88906280),List(28574616, 74956999),List(10369070, 15421533),List(8822044, 95718675),List(55292912, 11502404),List(30396296, 57031595),List(75524387, 77902465),List(84487875, 46960053),List(29333916, 31006979),List(66068657, 56887206),List(77203816, 33819783),List(53155477, 67237014),List(24522777, 61294992),List(1502599, 8250524),List(46147128, 51779975),List(55897044, 84565367),List(46826842, 99448065),List(42527847, 7098933),List(55231407, 61165865),List(13315975, 4035304),List(49405430, 66070901),List(11276662, 23156838),List(20171743, 50908473),List(319469, 82352107),List(70726693, 65336895),List(42796959, 49260658),List(91156604, 37904757),List(28573139, 759717),List(70360728, 80522940),List(20537772, 88909258),List(69216619, 46983179),List(92874466, 28635209),List(68938441, 78223890),List(89107321, 5662346),List(7635966, 98967943),List(90380382, 98021909),List(92148299, 96294178),List(86880190, 20113210),List(80416977, 83946522),List(8721103, 37838777),List(27445156, 270446),List(88811925, 57713758),List(45551499, 76595018),List(79729180, 86740990),List(88345592, 16259459),List(73285708, 74218975),List(18077472, 68033213),List(96236433, 89854206),List(47547814, 91605441),List(41402112, 91161655),List(7804760, 10033817),List(35870602, 65858855),List(80974954, 35033981),List(9119004, 1332196),List(51656878, 44119703),List(65743248, 81423453),List(20384672, 13149249),List(65008943, 16624757),List(51159947, 95763001),List(32867503, 10800345),List(20691044, 83241873),List(59053205, 93273787),List(29264874, 36857844),List(47488233, 80405167),List(84622719, 32002348),List(97134257, 94859373),List(44434520, 61904011),List(1623302, 97434311),List(80637783, 44833861),List(30575101, 7774387),List(14639475, 43864583),List(27836729, 63931831),List(22781420, 47427922),List(79798540, 45078347),List(80237793, 6516163),List(32408451, 23497408),List(28505095, 76178131),List(48229884, 22962065),List(1469570, 35931046),List(75747475, 31965167),List(83616204, 99557285),List(1432741, 80701201),List(82259857, 12596243),List(18350685, 92775864),List(63616202, 76111230),List(8459900, 86333219),List(60360449, 58915918),List(22015022, 97940174),List(23891836, 48656853),List(94490383, 34557939),List(36109488, 37787246),List(84474976, 81779412),List(63632519, 77473052),List(64867135, 39557050),List(95114881, 36862776),List(14745637, 63246017),List(52400, 79875847),List(23363837, 46093499),List(70766012, 12694383),List(79963109, 77931512),List(90312782, 33525678),List(74890094, 60108645),List(92360810, 34379772),List(45876902, 25768685),List(84193566, 16597821),List(15555073, 53335481),List(70444089, 99908510),List(29660415, 47276176),List(66931828, 96461588),List(78118164, 70009259),List(14607338, 1520693),List(83462290, 92890402),List(27965239, 94007492),List(68644789, 84767044),List(88965256, 85211319),List(14720102, 14488487),List(80865486, 24171812),List(5538535, 79876181),List(67305019, 52983236),List(51497603, 43698694),List(87934987, 73396128),List(84173986, 12956257),List(81046483, 63698669),List(76740957, 35133745),List(91619453, 97830835),List(61592489, 87428464),List(23980131, 58124038),List(29291409, 98523927),List(48837389, 32625304),List(72936579, 82122305),List(12803709, 10494206),List(27155928, 66441076),List(80026487, 55878019),List(68607454, 44210364),List(48187277, 89037164),List(71298669, 99647830),List(91387159, 75593102),List(70893876, 43461276),List(10353333, 9163656),List(49873070, 6946776),List(96003999, 15108422),List(16309999, 16522836),List(1051669, 66147792),List(37922064, 74246133),List(55404545, 76703279),List(62870812, 7412670),List(22504846, 43535349),List(55995527, 54413185),List(32146420, 21924175),List(7142216, 71855282),List(96598967, 21257739),List(45008215, 1092839),List(78537720, 50260267),List(88709017, 96397469),List(5714473, 46012659),List(96539513, 20000605),List(18603477, 31029541),List(49352582, 49410348),List(48903215, 30334270),List(31102644, 69473117),List(20530488, 65304882),List(38020211, 97162587),List(81217240, 23731422),List(37680352, 53826159),List(28443657, 32210671),List(54446726, 54491724),List(11684376, 57406362),List(74602645, 27902075),List(25765479, 5863963),List(37073629, 58960903),List(54766236, 78162924),List(39089803, 66656996),List(92585566, 50869681),List(94808971, 69802167),List(56776341, 60389395),List(29598120, 36486277),List(17091154, 42278656),List(66165195, 15338277),List(13476657, 82519180),List(99796051, 40808223),List(25223339, 87946398),List(94361938, 62140810),List(66095884, 15084928),List(75466888, 68073672),List(69531311, 83694452),List(13219793, 18313609),List(80861529, 31376),List(20018575, 42838395),List(66228898, 53653266),List(70111190, 56310910),List(87828512, 89925881),List(75647194, 89671746),List(63637657, 53892768),List(74328261, 26827719),List(70841410, 28396930),List(41801301, 61090057),List(17600242, 29352418),List(25093454, 43543074),List(11115991, 81348651),List(27878486, 18746353),List(77202252, 70186389),List(91899270, 79358681),List(945855, 63955869),List(71354553, 50683916),List(39996567, 16139880),List(51796390, 43617715),List(17318972, 70110785),List(2554174, 26480568),List(67071571, 82296333),List(56618134, 58724313),List(67359644, 46348036),List(98284311, 53303599),List(47750609, 86632418),List(15839295, 30213943),List(3810712, 36162402),List(20360916, 13905315),List(62696515, 57919740),List(96591043, 11866891),List(28981534, 35932054),List(95913893, 99685498),List(38899140, 5685575),List(34266918, 98603633),List(62463716, 50287298),List(49784320, 5208677),List(13413747, 53855596),List(10801770, 9029193),List(29296348, 92133394),List(84727969, 98031704),List(24473036, 22939373),List(58579899, 51840345),List(81600063, 8808244),List(84236053, 23788601),List(46616478, 45321260),List(12518224, 38936528),List(85351416, 85046192),List(77949839, 16383551),List(3723152, 31606182),List(60258599, 36813281),List(92655831, 87100543),List(28712109, 72772032),List(99540069, 80464757),List(57824264, 1304180),List(85014573, 1470626),List(68301211, 93724246),List(88834894, 73791611),List(19152552, 3347832),List(77565042, 86034282),List(46641890, 31879457),List(93665252, 49885803),List(6581998, 50382313),List(8437239, 15526724),List(97780986, 75852633),List(70891968, 59671406),List(2584843, 56080993),List(47089475, 33973996),List(66897741, 84438202),List(8202549, 50162263),List(1756687, 17144044),List(17931950, 28954089),List(91057763, 69272909),List(26630918, 44911693),List(45460442, 15960701),List(5993291, 19313413),List(14659168, 29868735),List(48416783, 69639124),List(93801430, 48390367),List(80282554, 4532516),List(27342551, 67184714),List(31491840, 50242263),List(22545032, 78355441),List(72852165, 72615721),List(44957565, 72652103),List(46756327, 69586530),List(87842224, 24637857),List(34954100, 3201955),List(65647184, 72002902),List(8139978, 85903838),List(58441884, 59067280),List(92738292, 28837424),List(56261353, 98733763),List(84577315, 10430392),List(22569238, 98915136),List(85879809, 86226471),List(52407463, 42323130),List(97984228, 51782096),List(60756229, 73107961),List(97160457, 40543063),List(37027165, 45762040),List(77069290, 37947747),List(38583244, 56336106),List(21235776, 50219044),List(90926403, 29480599),List(13320591, 7182363),List(72171010, 72861968),List(54703348, 64023055),List(84488784, 46349997),List(37064608, 68319319),List(3234927, 59294356),List(36216275, 94151884),List(8897249, 83801143),List(80469605, 32693200),List(74615692, 71299763),List(52056859, 33134864),List(72745624, 75497882),List(78652836, 87334382),List(34338419, 77944743),List(10736714, 3236940),List(14276255, 55256011),List(43822148, 21367340),List(67934096, 12217146),List(59335032, 7282246),List(20880181, 36419228),List(28843148, 53075579),List(97549570, 54720129),List(90475234, 89018066),List(21723902, 51196534),List(86306430, 9048243),List(285686, 65106509),List(40908612, 94339684),List(3762234, 22391621),List(2983383, 49961428),List(46010617, 68149431),List(88776303, 67382930),List(45685479, 6849738),List(24994166, 61799272),List(61990824, 23509568),List(12572204, 53434346),List(67797648, 3878346),List(60225498, 52391157),List(13357445, 79057527),List(43494122, 82913777),List(41936767, 97437624),List(79836730, 67105332),List(76420694, 45880647),List(91039796, 32989024),List(30701168, 63469200),List(74799389, 19190384),List(84026128, 92420157),List(73051491, 54327256),List(11830282, 49915790),List(34656006, 74061405),List(62729935, 35026723),List(31459492, 66611411),List(29972484, 74631711),List(10300801, 42110722),List(48840796, 40787658),List(58161063, 52865552),List(94542897, 20934487),List(85142398, 2489968),List(5243373, 40698681),List(2640589, 3526887),List(98496950, 52736023),List(30076843, 95015174),List(41418321, 43293551),List(58987114, 2412390),List(12700673, 78262489),List(4235625, 94689139),List(32290777, 19378067),List(69062072, 17210606),List(15226568, 75861648),List(86997344, 29687750),List(2488458, 27573275),List(59197898, 11897400),List(61199765, 2814329),List(28229287, 98214966),List(87390645, 24336609),List(25949365, 69132621),List(88448492, 19656798),List(42575860, 50184920),List(48108941, 51481573),List(11268776, 31277423),List(15168096, 96150804),List(35725723, 54096087),List(96322757, 80729796),List(12728572, 74783892),List(89097569, 1667027),List(16315827, 5569975),List(43562092, 31519008),List(60657203, 10793142),List(20479107, 92415566),List(27094598, 64260294),List(33435244, 11056941),List(1827295, 71306199),List(76817029, 20805701),List(98292964, 5686021),List(12817782, 90653529),List(49925324, 74989056),List(97924050, 81633224),List(42617934, 97061494),List(19218730, 61899424),List(17058183, 35713326),List(84122746, 5967976),List(6824897, 64880494),List(40546851, 82043828),List(11332002, 41186989),List(34853349, 34376251),List(90021036, 98923640),List(69952658, 84323362),List(86575575, 99178338),List(58155218, 35309993),List(85525082, 93535517),List(35386589, 82213159),List(70841175, 32246992),List(2378157, 30485997),List(59128254, 75690278),List(76201803, 93765686),List(31637448, 79963260),List(4813784, 90806149),List(15644627, 44298220),List(73512689, 5029712),List(12835106, 77570917),List(37467581, 44838925),List(96741105, 41206033),List(93577558, 96610035),List(32088333, 56545020),List(87500541, 11091711),List(52867939, 50654832),List(14021494, 72237081),List(82148220, 22780920),List(87771083, 43766314),List(40392878, 86721166),List(46626282, 99267540),List(19803966, 13873191),List(33337169, 18992725),List(79076990, 73762004),List(33161426, 69085631),List(64078705, 57790083),List(44928481, 57751807),List(83502837, 3401224),List(9048196, 841426),List(43686858, 23596447),List(72142031, 92046450),List(73988550, 84240054),List(76090209, 84021106),List(22459099, 42122056),List(75866984, 63598260),List(34413709, 5271600),List(27065778, 99100043),List(58665922, 92185583),List(7237917, 21776723),List(90883730, 23026017),List(98290199, 51414657),List(51341196, 17509356),List(79751866, 92187993),List(84349297, 91011933),List(46974860, 29281424),List(58237642, 5524708),List(7302085, 16543904),List(52676282, 71595205),List(93975527, 44211292),List(75040329, 78725662),List(76193032, 2258298),List(76896940, 5125466),List(96621137, 40192784),List(5596189, 87221317),List(73201540, 57741991),List(60721031, 64982340),List(93347086, 93336397),List(56270731, 79668032),List(23828326, 46176572),List(90533365, 33612035),List(64311722, 25791798),List(12242780, 52514441),List(32512150, 68156555),List(78219312, 63209331),List(94813035, 75034578),List(39949208, 47654578),List(10934407, 22400376),List(74156430, 96593323),List(60406034, 29132184),List(2648999, 84826213),List(96029944, 74263048),List(15581746, 85418382),List(2856758, 57316065),List(50594113, 3757653),List(46416679, 26458351),List(12465593, 24439177),List(18521182, 63614763),List(26041443, 21982263),List(6373298, 77728751),List(41918676, 75522977),List(56589772, 68443301),List(43169592, 99854004),List(55860873, 45465102),List(57662652, 4805649),List(52078977, 98736748),List(71816267, 1106435),List(44782378, 28844291),List(57476421, 79889682),List(76171019, 46256377),List(67939740, 97982247),List(15029696, 43224830),List(12506010, 62045999),List(6371517, 77908507),List(26833855, 9253275),List(80449130, 5200611),List(71682491, 80566696),List(16479845, 69811208),List(50978663, 12516717),List(39096017, 97896855),List(72204066, 64303925),List(77456514, 21498136),List(19731148, 55594814),List(77833283, 44989008),List(10889156, 65518372),List(57646826, 72624801),List(98132803, 76850932),List(86051763, 37728299),List(22324539, 75531189),List(25454784, 41974172),List(75931026, 38806694),List(93560682, 30951052),List(24907583, 58887454),List(43246487, 20572312),List(82835885, 4851792),List(29235153, 71710445),List(34228112, 41643993),List(43954099, 73775223),List(17536483, 22569322),List(5743282, 54892659),List(74827389, 41201009),List(39747107, 4916407),List(79589441, 16073268),List(53251780, 12002924),List(65438990, 23678394),List(57065983, 26081839),List(1111008, 1012447),List(57801886, 57223452),List(26531099, 19627500),List(20303633, 23145606),List(8748623, 43739541),List(38700132, 65682231),List(96085809, 79406145),List(70751828, 69955866),List(1412603, 46083252),List(92501216, 14253327),List(70323279, 68151661),List(6173004, 89522223),List(50934692, 54627075),List(75562193, 10414883),List(23749904, 81893774),List(16299821, 43453341),List(62893770, 56603050),List(62108594, 24075893),List(14386034, 75685326),List(32349927, 65083622),List(61989139, 55344873),List(66498262, 77450975),List(24360717, 92836964),List(65981375, 79837382),List(39311307, 64326480),List(78960240, 18854966),List(94413199, 51773178),List(74915754, 35066539),List(86362381, 63570896),List(61401585, 49973343),List(30700028, 68825743),List(86359442, 76148821),List(40348095, 44621408),List(92213444, 82781239),List(5871612, 34803526),List(4006843, 65853917),List(38752311, 60192241),List(48274770, 65493919),List(47076731, 47964508),List(69211407, 93595309),List(62923472, 72217036),List(62053700, 74286558),List(75672377, 30195230),List(34058849, 83810229),List(54258818, 3681100),List(34465662, 13457955),List(60367684, 50348011),List(29066049, 24863923),List(39364998, 57233290),List(43532787, 64648034),List(54097563, 89070035),List(60326928, 20793791),List(86693304, 39109821),List(23009920, 35722786),List(60707888, 65505768),List(37149662, 91246827),List(17978146, 10735016),List(68406519, 97806573),List(45942526, 51363),List(73142261, 10412845),List(18723267, 6655428),List(33820837, 68798710),List(30509665, 65096039),List(29726467, 3294172),List(27897895, 10107869),List(67754971, 12946214),List(29414314, 99849477),List(57372599, 42325085),List(54487144, 55368134),List(77566858, 43861017),List(50964048, 91347433),List(77438159, 52758398),List(20010455, 17396531),List(20307796, 4151569),List(86524079, 46284680),List(89548213, 15416558),List(40961099, 79137142),List(98520632, 12271987),List(75694432, 29926682),List(60121301, 51747696),List(70013061, 97421275),List(45995424, 15827834),List(42779454, 2848097),List(70586086, 12738018),List(77573444, 26356818),List(45940755, 21287410),List(33487803, 22655262),List(96670218, 82800924),List(49386876, 65571992),List(79303171, 97208642),List(75764860, 74443161),List(99634431, 73656835),List(93700320, 14928256),List(55486626, 80274219),List(2673676, 29100759),List(87447912, 63761488),List(70377575, 49111418),List(92443087, 33308682),List(59143090, 85604627),List(30202643, 5472000),List(90772858, 93689125),List(40210206, 78126476),List(9255387, 17816179),List(73668111, 50912571),List(70625152, 36397225),List(87733404, 89341107),List(54895789, 2586924),List(15983982, 45258145),List(98799838, 56365209),List(6222514, 30245502),List(14730929, 13411559),List(77746363, 56069136),List(77224347, 85268927),List(89001984, 74113738),List(66664292, 6862428),List(11083259, 51531914),List(41670320, 71352597),List(68768041, 44003863),List(57978873, 10505041),List(83644254, 30310730),List(53752817, 77601225),List(96401628, 55583380),List(22351852, 1994050),List(40703033, 92133639),List(19129077, 76694305),List(46744028, 29501730),List(11023516, 62931257),List(25004528, 35232497),List(60074899, 31243012),List(19990377, 85934958),List(46316133, 61044598),List(24905195, 93948862),List(6112551, 50133269),List(56730982, 7050466),List(54883475, 96076671),List(48125919, 42962451),List(39129828, 44748133),List(7161499, 20409836),List(25828691, 88607834),List(59112558, 19613909),List(5245657, 62181767),List(35146296, 92032317),List(60437211, 35582846),List(3479889, 88684934),List(98814942, 29007039),List(46376334, 855949),List(28560963, 30442429),List(43383858, 13024052),List(71154250, 93480670),List(71599763, 93135862),List(20155745, 15834611),List(76196084, 28216136),List(17947810, 607275),List(35159658, 50579593),List(26224904, 83629484),List(19256180, 13333557),List(27945126, 22910460),List(63800160, 62675157),List(6558384, 67511422),List(49847077, 13629205),List(72486706, 5617605),List(97699093, 48779595),List(79273642, 73252769),List(43468193, 37641807),List(3349660, 30905803),List(99691551, 47484507),List(9861684, 34082294),List(66877625, 26135984),List(33225435, 593007),List(46993511, 84505339),List(22592967, 43403038),List(29618201, 98427257),List(71772517, 40422437),List(54294885, 78206694),List(85527124, 76158666),List(57079365, 59198156),List(9585346, 97122202),List(64887664, 26133171),List(87974880, 19797491),List(26051719, 7602524),List(10354286, 64064486),List(47812164, 5162495),List(88688832, 31452540),List(95395568, 81209617),List(58154466, 94823749),List(93816524, 4151115),List(10931414, 43415319),List(90194580, 7727918),List(63892131, 96252185),List(51547845, 56646442),List(13188452, 19257124),List(56230907, 1898497),List(91308563, 62076219),List(95512270, 33384344),List(83264169, 5624101),List(12096361, 9243042),List(41273543, 69904478),List(46161125, 85376555),List(56067161, 18992204),List(95385850, 72879003),List(91182944, 11404702),List(63310356, 23345453),List(38546989, 69946646),List(63025807, 59073973),List(49496904, 25435210),List(22193793, 2550994),List(60360043, 71660103),List(87675084, 91424645),List(17943050, 10322303),List(32648827, 40645804),List(20866652, 7003836),List(55163799, 12248416),List(34292912, 69877860),List(65100616, 54481445),List(47249895, 8220919),List(82322445, 404010),List(6000525, 99224929),List(59452976, 99138867),List(35761726, 26054368),List(89344170, 24121623),List(6154935, 68399137),List(18622305, 71444939),List(71404871, 15432157),List(65554582, 39497326),List(28629336, 19301765),List(89750402, 59512102),List(13925489, 67089190),List(6235969, 27097522),List(32316723, 51578945),List(60833116, 19535244),List(9820563, 80130598),List(4861406, 27175673),List(77732417, 51264709),List(72247921, 11171872),List(90654519, 4899493),List(64621861, 94023193),List(33580982, 78478586),List(24238201, 48683642),List(94123162, 21257511),List(54732645, 53392466),List(59045006, 71945550),List(1790670, 59050093),List(70821350, 30913783),List(34878996, 11941323),List(63429888, 82173275),List(25017065, 94915088),List(21127810, 93517176),List(43803298, 4146072),List(11604350, 97705189),List(92043711, 64940401),List(79335791, 57210879),List(63131972, 89306879),List(62179225, 66621687),List(80193992, 35400927),List(3258801, 35534372),List(59326766, 95312571),List(26738192, 48921207),List(53523599, 7097871),List(2417139, 39971871),List(541578, 99532861),List(94369469, 11320127),List(60382929, 18979102),List(22571190, 73655417),List(72556661, 785909),List(13560121, 67350871),List(2999899, 94281603),List(16613406, 89126602),List(40539468, 99175769),List(52384022, 46566771),List(19424058, 62209977),List(78266501, 23387662),List(58930990, 68400260),List(53142678, 10098357),List(8974719, 95504859),List(11989306, 12366409),List(40895684, 40660843),List(60494505, 32546761),List(96883153, 35626159),List(94484230, 69590373),List(5944987, 18425481),List(36322547, 37577723),List(50296165, 71117732),List(18975933, 13183447),List(91417151, 39794585),List(22289501, 48279076),List(4226393, 72300290),List(6192632, 42354142),List(47376508, 55360952),List(83167544, 72800129),List(83518113, 36381735),List(13039931, 72018074),List(11595944, 7842547),List(85180465, 49500937),List(25443245, 60701382),List(7269671, 87700045),List(19642941, 97867564),List(95951096, 44450939),List(93493982, 46491810),List(46963614, 34184142),List(43078607, 29786167),List(33744822, 62353306),List(77246573, 1141166),List(39122347, 32897058),List(93966664, 90834068),List(8870648, 472804),List(48713158, 25187715),List(28853113, 35296508),List(17824804, 25316309),List(34323019, 77261745),List(13995932, 47981783),List(70067267, 9381648),List(27476848, 68709941),List(27902182, 61630083),List(50810643, 28885051),List(75827660, 47360553),List(78104445, 69098777),List(48809327, 42052350),List(8978568, 9323136),List(57994485, 13200451),List(54040519, 26411865),List(49048605, 51612651),List(62354595, 30560744),List(459495, 73430431),List(52359941, 81453216),List(13519494, 27939861),List(49921265, 30347163),List(1211623, 29308942),List(34535590, 82985755),List(8414293, 82299275),List(70614961, 6819883),List(60269142, 71777507),List(83492800, 95406144),List(76483228, 96726441),List(99143180, 32164234),List(15645057, 14394377),List(95504164, 46641933),List(802801, 71336451),List(6911702, 25283771),List(10527985, 3200806),List(49948444, 64742812),List(45847417, 44067764),List(27596518, 85035911),List(32820886, 96759607),List(58059939, 84093792),List(34706331, 79856205),List(84155710, 21295633),List(77347583, 23010821),List(94999759, 59275224),List(14049661, 85298291),List(28431603, 42934907),List(64171067, 58340249),List(13808502, 87525742),List(86998390, 31464064),List(81452906, 36034548),List(42567033, 49730780),List(90199206, 73175793),List(8297968, 76282837),List(7679624, 84778506),List(81485815, 46654477),List(23691133, 33830653),List(74853656, 80548280),List(64807006, 46391463),List(32958734, 73661474),List(65454541, 1141093),List(55111832, 80674339),List(48018937, 73458874),List(36909199, 44518997),List(22543219, 51350058),List(4516186, 60959713),List(91884904, 62279645),List(98094913, 15638888),List(71364613, 54202822),List(2797151, 96667798),List(57899261, 91527997),List(76061591, 70247266),List(65794097, 94308081),List(73798368, 79088660),List(29484397, 87939269),List(1565726, 68962764),List(29606165, 64991069),List(11709589, 93410996),List(14960613, 42049142),List(70984736, 95478561),List(64069621, 57289000),List(91026011, 14021560),List(59581702, 61876363),List(21171428, 74147629),List(56272559, 94053791),List(84433159, 12878420),List(68055895, 47260465),List(47066059, 46148638),List(52516723, 74711195),List(90458761, 90640333),List(62490898, 60898909),List(34834549, 54947833),List(26204366, 24490908),List(48682354, 24762434),List(49892545, 52827640),List(45603155, 93244870),List(64977720, 59694709),List(15748167, 29673015),List(36810916, 83478835),List(85786178, 85287590),List(93828054, 24234611),List(53343739, 32049270),List(73213324, 65727284),List(88635855, 46002561),List(71447254, 15928427),List(83663202, 46563598),List(80020175, 43446001),List(99341326, 23733231),List(43069425, 86057270),List(67013291, 23081316),List(98554736, 15427858),List(65267045, 46745466),List(79095710, 46743802),List(85770600, 61433974),List(88268817, 59085908),List(50405397, 20272626),List(54262510, 28220813),List(49358836, 34686670),List(1389491, 89334605),List(84451663, 9392418),List(38885654, 33445195),List(40066511, 42333991),List(97650080, 39212926),List(52249236, 37250664),List(26527393, 30435231),List(82961514, 49490812),List(77878989, 97350588),List(43559362, 96280159),List(28046335, 33345812),List(89918601, 43945245),List(56552163, 74320847),List(10505628, 90145826),List(39742198, 17167863),List(86954392, 1055584),List(40003045, 15277432),List(11198058, 96161061),List(58178627, 94396428),List(96811781, 16851836),List(97358398, 20188013),List(92232877, 64591702),List(17272237, 61762481),List(7597371, 14734456),List(83229731, 68138091),List(81508351, 68905746),List(13287438, 87973056),List(13532616, 86773850),List(25426048, 70093263),List(86541087, 1697335),List(31176407, 37687269),List(34585694, 95593741),List(83502912, 89503536),List(54265011, 58054270),List(38195447, 96678437),List(18637068, 54888368),List(10619560, 84956009),List(11696011, 1297893),List(71675862, 35298138),List(96806209, 59961989),List(85666631, 13906207),List(80266827, 21964373),List(91634677, 45639435),List(27595522, 67676756),List(23519274, 41844075),List(2504886, 1083565),List(37709415, 6738211),List(12480730, 68920493),List(57304328, 12439118),List(76997485, 68619449),List(20506085, 30694688),List(26797228, 6978903),List(82378277, 61517293),List(55992621, 60257290),List(53177750, 68153971),List(54463309, 53249015),List(48631691, 52948984),List(75413957, 53096856),List(76107728, 35704984),List(75804900, 53254394),List(28024754, 50575312),List(68522626, 94657476),List(67138612, 24160207),List(29628942, 79402343),List(51016268, 24293843),List(90864518, 56633705),List(59322249, 69058150),List(21421277, 27663150),List(5407218, 13880575),List(59326636, 31138616),List(2036815, 94059957),List(39359432, 93159472),List(13644040, 39653055),List(58249431, 11710395),List(47920105, 84809677),List(28181617, 74413425),List(96664055, 85533419),List(21399726, 77883331),List(9486006, 53281837),List(58140980, 70848911),List(50600199, 41550689),List(48871377, 47523482),List(11136023, 40850389),List(98723005, 57468012),List(83722653, 91010963),List(27951646, 29892410),List(96733517, 64207619),List(80831849, 85701755),List(71490462, 68228665),List(78912769, 75265978),List(57091954, 76661447),List(74082499, 7930581),List(76053801, 13596251),List(72504536, 26606212),List(13063654, 55602103),List(86082908, 75554434),List(19478425, 21591363),List(92154225, 47274719),List(13870671, 4617487),List(31330377, 51505685),List(79856594, 23492899),List(7812144, 28334600),List(92241247, 97738917),List(3776017, 93498291),List(58741237, 18964656),List(20969045, 73253412),List(2217999, 32120106),List(45104018, 94899682),List(87917263, 1141649),List(16824381, 20728267),List(70172461, 43001681),List(14531023, 20298076),List(8623410, 81748876),List(75308885, 29249625),List(38757923, 23020524),List(45070986, 73114980),List(67554659, 44181192),List(7666545, 23487928),List(29152635, 82526479),List(96669176, 63052639),List(2674974, 27953573),List(38095123, 94018832),List(88071136, 66880404),List(61147964, 51657453),List(83358014, 27130585),List(73596432, 42969580),List(77986830, 36206910),List(61376724, 57730549),List(2543618, 5126373),List(59554300, 67757890),List(42755986, 47762689),List(11825016, 43571863),List(37219610, 49160619),List(24908398, 85980854),List(39208111, 9584864),List(43328904, 33628960),List(17904402, 54929277),List(55864601, 57532700),List(38292236, 55502621),List(29297388, 37609399),List(56195871, 6394297),List(85732131, 46287873),List(41541743, 9931458),List(7232408, 57077474),List(91508260, 10705489),List(58626404, 55513725),List(82962590, 95129708),List(15425560, 70646008),List(28042913, 21726860),List(31622267, 13116724),List(11513162, 36536130),List(43789228, 25865930),List(95574348, 64943416),List(86588656, 63182820),List(67587244, 54062099),List(94233765, 39532082),List(80227032, 77881110),List(2372851, 92477461),List(88205586, 84499407),List(40864434, 3742365),List(88686454, 90312783),List(67969276, 95456761),List(98305, 22061491),List(73203186, 12463141),List(43743687, 69184681),List(15032032, 90212512),List(3820036, 90603315),List(53580448, 62766788),List(69435832, 69102834),List(64441445, 51321503),List(96374697, 61076021),List(85636054, 11104533),List(72557570, 13692944),List(95109412, 35614747),List(23115171, 659119),List(44204713, 16947697),List(63696836, 17702790),List(45878931, 88013978),List(94833996, 66306775),List(60989217, 32555466),List(1605253, 99736706),List(42484924, 64485054),List(83682251, 1537407),List(22203997, 76785110),List(44342852, 9993645),List(48891809, 96589191),List(57842594, 78639525),List(61165986, 77027890),List(32215021, 95662228),List(84716606, 35785554),List(64026377, 43485685),List(70721474, 73143667),List(29729667, 95129167),List(41424833, 15040552),List(90914799, 53640066),List(97931039, 83265053),List(65189787, 32257680),List(74046496, 90116610),List(93998845, 29986673),List(38246636, 93251287),List(80008852, 24568963),List(68023467, 93295908),List(83251465, 21727136),List(99609407, 6475253),List(49000039, 99681015),List(96527999, 91584252),List(98333390, 71951514),List(98321480, 94193876),List(34455866, 71078308),List(68874848, 87032765),List(76123380, 52290323),List(44494134, 92073964),List(20892940, 23283194),List(96705886, 44740107),List(88757972, 69809270),List(90905881, 32749855),List(69550798, 37856303),List(54299303, 11146174),List(76926967, 43396750),List(10606684, 43495903),List(6144786, 90193737),List(24868917, 11952683),List(83952266, 97894844),List(99813552, 26673184),List(76466764, 9718159),List(64476424, 49221531),List(85583782, 50414313),List(57805540, 67830108),List(23332742, 83686178),List(23887639, 21028435),List(99522410, 97619685),List(98313302, 57923574),List(5366011, 3475757),List(86273302, 94862216),List(45379788, 86192271),List(35961736, 22781005),List(29061850, 50114397),List(16845683, 38706293),List(39753188, 92553680),List(97177341, 69713808),List(40615283, 79824542),List(28798866, 61017307),List(22638310, 80183867),List(50487802, 27829719),List(99407782, 88035519),List(79090049, 62432752),List(15357786, 96822315),List(16200647, 60173928),List(40618512, 32189921),List(39064951, 27742091),List(72027612, 90598307),List(56816454, 87531556),List(48227469, 82111001),List(4227214, 63041566),List(22207203, 30632011),List(26022484, 12989196),List(37296733, 36175124),List(39586134, 86992139),List(26891713, 77010793),List(45383720, 44872983),List(44569373, 26522383),List(1537061, 46031754),List(42690177, 29822079),List(3237870, 28784948),List(96581950, 53877880),List(56242375, 73716184),List(98763440, 75552185),List(20179541, 11716414),List(5657490, 82392705),List(26921846, 93380199),List(74341714, 44138561),List(61922120, 55483253),List(90637283, 20292709),List(81634924, 82389060),List(58593312, 92011882),List(85085654, 36632334),List(76142027, 28601579),List(9708400, 36911144),List(10874483, 77371905),List(54750451, 44208217),List(16864724, 40242631),List(23088298, 87477518),List(13083927, 29899542),List(2984350, 75840158),List(95184401, 70555855),List(57182417, 79099261),List(51840149, 74496007),List(44306929, 30577326),List(70746312, 62705006),List(23498994, 72006127),List(14384663, 5547043),List(2698246, 13608681),List(38549827, 93980816),List(79004974, 57730465),List(88494007, 33396694),List(64074920, 49357345),List(96098503, 44425482),List(75985182, 72711184),List(26342902, 51634930),List(34783987, 36082376),List(99879023, 69549425),List(93733694, 45669152),List(96152966, 20522483),List(94738365, 33172168),List(5320083, 47224659),List(82648067, 9823227),List(62686215, 91727504),List(73236541, 63331138),List(43845452, 93639338),List(86275759, 20805856),List(48462115, 32021221),List(1641784, 4431814),List(90672445, 74703290),List(86241931, 11297859),List(53368351, 12295355),List(82473253, 13882901),List(60019227, 60801756),List(20184317, 46057300),List(42209544, 46307752),List(37209831, 35261362),List(70970063, 33075189),List(41960366, 80576942),List(79591665, 55758946),List(26056886, 21780966),List(38248134, 47486048),List(91883369, 24797905),List(8899054, 85381314),List(62672651, 65007689),List(25240344, 21400934),List(76732837, 78746680),List(56700738, 22759704),List(83099174, 87733811),List(31809107, 29286057),List(23010045, 86593542),List(95935761, 13487903),List(45212423, 30391891),List(55619648, 61557863),List(92609579, 74392163),List(42208728, 97590834),List(80930752, 30531567),List(48605667, 94733299),List(75338030, 93082347),List(93888603, 62725233),List(31024739, 51495480),List(54194244, 88239802),List(64633284, 26964701),List(8821109, 58122497),List(52458734, 35548673),List(72864615, 45919217),List(15023817, 36651779),List(4316269, 60635827),List(72364098, 20762156),List(76309942, 39792821),List(43768265, 57249718),List(15402679, 22042720),List(46210559, 66189288),List(71726407, 14809953),List(89288190, 88262185),List(86926585, 87682206),List(31494632, 82084166),List(41500084, 69341570),List(7726589, 73119622),List(39105279, 9751890),List(8210342, 15114700),List(32115571, 51786012),List(9455500, 45824178),List(14580524, 48057219),List(7307882, 50542720),List(99537614, 15516357),List(64337278, 19064257),List(63338210, 35610448),List(65592426, 18036622),List(48812810, 59050803),List(36818217, 70865819),List(57902800, 88094263),List(53780843, 42708674),List(18989497, 87455477),List(40950143, 43675689),List(5050102, 77186509),List(19068845, 83629065),List(49532923, 64915850),List(4910796, 54080994),List(75783436, 93083883),List(66013707, 91019107),List(78005738, 18160712),List(81047627, 93390438),List(69595067, 62629896),List(52697044, 15424877),List(74656702, 64869289),List(42749993, 54666953),List(65632917, 27016435),List(17152306, 61925696),List(72982422, 91643403),List(76976275, 15199755),List(25656350, 28330594),List(54798031, 64820600),List(37309249, 34028575),List(65921523, 90192319),List(34600573, 55246988),List(9209675, 71994622),List(37815743, 20045831),List(78275278, 8261151),List(42496688, 80081209),List(5039101, 15613123),List(42187618, 47682726),List(13784131, 96438921),List(38213236, 951995),List(74951736, 35809282),List(31852807, 49123034),List(37764348, 93184027),List(80263179, 68846559),List(39424776, 1793678),List(30059112, 17737120),List(22047689, 38555959),List(63498783, 325982),List(60866338, 7374125),List(2186319, 38436391),List(27564817, 89683400),List(17461221, 98647582),List(4538486, 57707487),List(26648434, 34410762),List(26407742, 25761237),List(42418941, 14375900),List(89986177, 83665666),List(1726174, 56938090),List(82207328, 2657418),List(14392673, 93297330),List(63600606, 58263504),List(238428, 93645527),List(56483328, 82006990),List(67989942, 15649814),List(4880036, 82860759),List(84548378, 83778951),List(97971556, 90805452),List(27839287, 90087477),List(37027518, 87476638),List(86763987, 33681603),List(67888865, 73016672),List(69868355, 79961916),List(45169226, 83045020),List(93055941, 74694330),List(54704853, 95185832),List(42442237, 99082057),List(69676951, 62276426),List(53596568, 56978460),List(6229225, 53175409),List(48109027, 61010301),List(84435433, 78055486),List(68081188, 37784604),List(57525337, 24531331),List(27393793, 54645445),List(69984398, 79567240),List(45400014, 37254650),List(29402616, 72182155),List(68294882, 2382624),List(20225620, 6283097),List(51300531, 79650808),List(97622440, 11664219),List(30634499, 81625542),List(60271403, 98525035),List(66761528, 90295489),List(55636309, 83950763),List(83267528, 96922211),List(83847571, 49924639),List(36270693, 28857299),List(97707959, 93455063),List(13824430, 46701661),List(73204714, 55680555),List(84221362, 84646461),List(8483479, 19992342),List(74847029, 93902835),List(51931974, 39478919),List(97231184, 98011900),List(91120785, 44954432),List(12405636, 34052249),List(76919856, 45816369),List(25570182, 40298979),List(48889222, 1408246),List(58753268, 42247101),List(95277350, 90456374),List(48183152, 38442267),List(47965228, 51828219),List(13200070, 96525133),List(52689197, 15063971),List(98846286, 71173347),List(71358065, 78004819),List(19270148, 92665948),List(17825819, 84056144),List(95284723, 59261273),List(75145599, 16787271),List(72087509, 38059549),List(32667736, 36452968),List(41004294, 56096177),List(24064503, 29870490),List(13196005, 35319237),List(3213414, 72589990),List(42708246, 26692312),List(56085425, 2323768),List(66189222, 49447612),List(21390382, 70254748),List(24918109, 18719028),List(46991011, 42009653),List(41678363, 35912489),List(56239021, 82057339),List(21292815, 99048131),List(96110320, 28957649),List(258516, 59110394),List(7341154, 68867470),List(97076859, 41323469),List(77697928, 28623919),List(97357182, 82123128),List(59597760, 18835805),List(85919340, 35528053),List(79668048, 37271728),List(819266, 38462788),List(34278003, 86596115),List(56683526, 15094239),List(80838602, 72725884),List(21802333, 23850903),List(24927276, 55887202),List(8100458, 75494980),List(180752, 90751510),List(42186927, 52526607),List(39676812, 70861438),List(35876859, 78444594),List(18564595, 89642286),List(45742319, 13850611),List(61355442, 8498626),List(97156493, 177118),List(6079116, 34725892),List(54519143, 90269124),List(58703435, 72996635),List(5266723, 65785842),List(17302659, 51566897),List(47510722, 11211110),List(65931705, 87225324),List(1830603, 97029127),List(34840086, 21638967),List(88451049, 74141140),List(51506615, 1887928),List(70174791, 65962442),List(6352037, 75988772),List(83861224, 67055170),List(17388228, 81828580),List(3498894, 56253278),List(99807315, 99121867),List(59294877, 16870369),List(98505079, 50283080),List(11202438, 8679567),List(56489779, 90836339),List(16063883, 54022740),List(57764119, 63748544),List(60190273, 30583349),List(91822397, 96629889),List(757113, 74842359),List(18092038, 35970815),List(86387357, 6900638),List(31798282, 98339133),List(47677092, 19799046),List(27126862, 16893691),List(65495784, 68394471),List(32585165, 23529355),List(85675440, 33282564),List(35903407, 74110487),List(9660759, 68179827),List(29002183, 91129692),List(79808726, 42067469),List(64600388, 13915697),List(42669223, 8220654),List(21857781, 77913667),List(75363685, 70615302),List(28880255, 56915808),List(20495093, 18357418),List(38789499, 61461375),List(41147913, 12126746),List(46485320, 14786178),List(62114302, 92430163),List(45083690, 95842534),List(63346444, 65510535),List(73589055, 54925240),List(87155181, 66716106),List(18029287, 54246643),List(16038436, 72621786),List(95665945, 60910326),List(25354452, 98872682),List(42246434, 6466044),List(83861926, 73726737),List(91786116, 37370273),List(95846498, 75957690),List(55689474, 78417244),List(24136117, 38181562),List(98881998, 74819158),List(90269044, 66443454),List(12697817, 49385863),List(27640831, 74064760),List(34496831, 83912438),List(94557932, 40178570),List(15478288, 27966846),List(19340445, 70692019),List(10703119, 61459530),List(93103460, 35863932),List(91838662, 83754232),List(73697929, 18250723),List(81015550, 26710211),List(20829139, 73272215),List(26090648, 60723434),List(38426142, 41487928),List(42271254, 72067591),List(94166276, 18958770),List(59164935, 76162942),List(2775529, 7924584),List(28079, 25919596),List(5186106, 17951492),List(28778314, 47095772),List(51998185, 30053075),List(68636382, 93650790),List(89193331, 49994038),List(23716074, 10603350),List(91225299, 94217930),List(27076656, 86092466),List(52029031, 94549624),List(78692402, 98838699),List(2008465, 18067319),List(99397158, 44454609),List(60819619, 52390742),List(45856803, 3262426),List(24678048, 81127799),List(98508842, 92262155),List(59535430, 50934051),List(72153340, 24292730),List(50157941, 19408748),List(98314891, 5760871),List(41712905, 976136),List(993751, 1805660),List(79259590, 59864958),List(46851151, 98979626),List(26772923, 75469145),List(75307055, 40106799),List(91330885, 36587051),List(67386032, 81952222),List(22831302, 42213713),List(21947222, 60458014),List(79273240, 85333695),List(31165926, 18099181),List(4384238, 30123088),List(74657960, 43876019),List(6943088, 26199128),List(46799975, 55492283),List(98777330, 59303588),List(35572053, 95344000),List(67667849, 45929759),List(19245408, 98086910),List(37087802, 4907070),List(57411511, 7464724),List(28592342, 74452674),List(66547886, 81423),List(20270580, 66031738),List(98161543, 32434784),List(59740902, 54359920),List(13342358, 33146035),List(74419051, 31921726),List(29927537, 87733554),List(8237230, 3319749),List(2788281, 35434416),List(86335503, 42548630),List(6131402, 40537256),List(75143177, 45455253),List(68271859, 13486798),List(34888957, 58860863),List(22117513, 734206),List(51591190, 15376129),List(69326809, 33439334),List(65768638, 78839776),List(93088425, 11326873),List(12643157, 12471568),List(9207835, 66217806),List(60660746, 14416550),List(72014048, 95752091),List(9151939, 457866),List(24207518, 92946629),List(45385656, 84040164),List(70039152, 71697172),List(86073720, 17086402),List(18401827, 99325101),List(5138354, 72180790),List(15734882, 67815331),List(50453126, 18779728),List(40346175, 39987557),List(59118326, 3210827),List(3407920, 64552759),List(32853454, 84332605),List(52702841, 75007013),List(76197208, 38419885),List(65327346, 20554993),List(19061009, 24872657),List(96038140, 84425791),List(44019955, 8993646),List(29976279, 19017427),List(17885203, 25158256),List(54257845, 60189473),List(7079012, 98983644),List(6429959, 38902181),List(80808055, 5132257),List(7663410, 18443077),List(6773199, 28928915),List(94452053, 88083682),List(18453074, 7721496),List(38489424, 69951664),List(9829820, 84706179),List(11018741, 53576063),List(80477005, 10429009),List(55683937, 92472174),List(97106159, 1284470),List(20331417, 39480238),List(30646975, 87681889),List(43200950, 89940907),List(141470, 524049),List(79276429, 95224855),List(8930798, 75254289),List(4049011, 12477887),List(69947547, 86456592),List(9129228, 56591959),List(42165497, 89413029),List(55045845, 6140773),List(68103798, 10557843),List(81002354, 36491860),List(78187829, 22583475),List(21851402, 27611292),List(24976844, 69782888),List(25378537, 97437772),List(70303467, 58284254),List(28323596, 2762656),List(72663574, 67760281),List(94535558, 80259349),List(21252783, 44047160),List(22307065, 61121532),List(97483977, 25745902),List(13445480, 15854650),List(585263, 99016706),List(38762608, 62909892),List(4027243, 80804124),List(96826256, 17607172),List(48171571, 27937703),List(91182944, 31781330),List(17780060, 49494284),List(22500065, 60383963),List(42326601, 18945679),List(53998891, 86867494),List(20849276, 14259189),List(7353350, 94034862),List(77647736, 8077627),List(4762330, 28258651),List(72037365, 47776244),List(77546292, 64351438),List(35151315, 92260370),List(12956218, 1274126),List(68870848, 28575764),List(11963926, 33062809),List(72222065, 23726799),List(2299510, 81181373),List(94911540, 16583947),List(92222592, 41479033),List(80994925, 41553341),List(82284725, 49623819),List(49370739, 30328523),List(68577876, 57141146),List(18830219, 14559594),List(77102560, 44867836),List(68887966, 51980548),List(45097478, 10445821),List(65903832, 76475379),List(37926308, 34789103),List(81107080, 8369402),List(45913388, 53844515),List(93379931, 90131636),List(55502015, 480955),List(76767561, 9442676),List(68044327, 58671296),List(4705291, 2125968),List(5961170, 68451354),List(69297285, 39409410),List(56210581, 97011938),List(91111222, 51563482),List(9799856, 1464723),List(20878473, 95098135),List(5376471, 95720152),List(28368687, 4461414),List(80226822, 93842780),List(81559281, 49764287),List(88163745, 67138617),List(13720460, 76103953),List(67252328, 56695805),List(71415754, 13989854),List(84254338, 24900210),List(39880380, 51109085),List(25320011, 60479075),List(59822868, 72661681),List(37861740, 38748073),List(54388991, 44008549),List(81004984, 82077107),List(71784889, 14641872),List(85331583, 42684370),List(26947363, 15858650),List(34842154, 54126526),List(18866152, 71375333),List(45787033, 27466446),List(69980433, 67744133),List(24422632, 41727472),List(81395813, 579600),List(88224192, 39542663),List(39656376, 21625390),List(98560984, 20014198),List(45682093, 14898949),List(44891550, 59861767),List(47003696, 51222199),List(40768777, 92748964),List(55152222, 93281367),List(89680348, 60744333),List(876461, 86157264),List(34340817, 69411864),List(48887399, 46233512),List(99808118, 10830713),List(34300779, 9747046),List(98507136, 68183455),List(19004273, 11948501),List(3805867, 53477696),List(62872541, 50546283),List(45282757, 59390265),List(96329618, 26474152),List(38478786, 35024412),List(17206097, 59409312),List(11633931, 13553596),List(54996992, 31146884),List(80207403, 80328176),List(15965196, 80272412),List(3347343, 39517343),List(37599838, 44540425),List(53916185, 11510017),List(98621165, 35985058),List(50939914, 44881053),List(13539442, 57620261),List(92949441, 60295939),List(65101362, 62786467),List(27900830, 45355616),List(65896792, 2613547),List(40835650, 75360140),List(68320475, 73275899),List(68766580, 84773828),List(84978791, 82014823),List(2981586, 10117397),List(53519680, 56517088),List(90321779, 19266256),List(11773786, 22142020),List(97854696, 46645554),List(75700112, 93594552),List(44888038, 4893084),List(31432343, 19183453),List(25973154, 95667864),List(44625461, 19490189),List(71501830, 59289307),List(28617371, 86889386),List(32795853, 3163408),List(17350660, 9537159),List(55277846, 62456694),List(99786039, 80437919),List(52866756, 73768980),List(57642282, 32173747),List(43957713, 8135144),List(90864177, 70096291),List(42751769, 75278437),List(61074310, 52576484),List(59058914, 53312812),List(65800446, 37393524),List(18812679, 53337910),List(88086445, 63841448),List(69283088, 95134353),List(81566195, 32234131),List(40829117, 47698296),List(326747, 20277117),List(33287352, 83451775),List(21532715, 58969950),List(93758199, 20765284),List(76778357, 90848651),List(95653395, 69933948),List(8103958, 94094775),List(15212453, 64827684),List(13162613, 88945636),List(49231798, 79039382),List(59027543, 19824648),List(92305743, 52084732),List(8015386, 94758594),List(82703997, 44474978),List(38743535, 15638641),List(37460823, 39610573),List(66275017, 26408188),List(94140277, 12423815),List(9784787, 81146786),List(49698967, 21414020),List(97498314, 57080156),List(3916250, 86130569),List(62274455, 7163275),List(81712347, 60982655),List(95868547, 13176128),List(61817086, 79631427),List(65707000, 47681740),List(59493216, 63144412),List(49171585, 93517684),List(46293545, 75005640),List(26403459, 51189958),List(45308819, 9429497),List(99419205, 31063442),List(68582667, 63931013),List(28658419, 39482926),List(1067421, 97283679),List(15802718, 33116637),List(93932950, 96298084),List(77103549, 5619264),List(67555315, 57117219),List(81851696, 30638966),List(66756793, 28076418),List(38322779, 63798046),List(93097598, 30881948),List(57555485, 2586768),List(76345514, 67492938),List(11818724, 80903685),List(33316577, 52695981),List(6974572, 21733786),List(20029694, 23215393),List(13325879, 12135483),List(47475586, 19449676),List(92283546, 55075504),List(47207152, 38458515),List(65349390, 26811799),List(82902694, 39843683),List(32717398, 54984030),List(82610926, 23690060),List(86709170, 60650594),List(64549351, 46772784),List(53168085, 49669439),List(17069035, 7736328),List(2095736, 88660610),List(6822784, 78740060),List(67775998, 82593694),List(82594718, 55775874),List(73502556, 71568612),List(19164388, 29162482),List(99947742, 88260284),List(92983980, 11944011),List(42241593, 16767235),List(77325684, 76861979),List(92197162, 24391186),List(33683470, 80741951),List(88170876, 75484214),List(88982351, 9417439),List(22962713, 95723259),List(19424000, 11338136),List(14911470, 45025488),List(68691906, 51079234),List(32351700, 50939657),List(39921572, 56874944),List(90625450, 69466958),List(34855538, 26528961),List(20051859, 69760991),List(90467114, 74931799),List(5006646, 99890956),List(50378292, 30184653),List(75691557, 49553893),List(32119661, 24052939),List(81877148, 48289609),List(43912219, 31450221),List(90052879, 68543205),List(88580704, 85841087),List(58222434, 27551398),List(36834913, 73832011),List(15397013, 21987254),List(38032821, 96091661),List(32428958, 84417537),List(74546118, 2687038),List(7639562, 37120479),List(25123844, 4572208),List(28745879, 8510926),List(26895270, 10833689),List(4060150, 27654907),List(83124455, 10092818),List(64573949, 60674207),List(50977871, 64935098),List(48084840, 60707510),List(34294753, 51726627),List(11472659, 58157947),List(37558284, 99620387),List(13587363, 93634442),List(60422421, 74894140),List(88209403, 44319749),List(68426185, 84726581),List(15770015, 78619577),List(87232113, 9722508),List(49061379, 29130637),List(82323414, 4536654),List(1448014, 37640286),List(59180393, 46441382),List(64637071, 65935005),List(58903221, 74289857),List(11340695, 32564903),List(66005503, 52307733),List(63228453, 49545139),List(66348770, 81189162),List(1740651, 28941737),List(73781719, 30539184),List(63998085, 63845600),List(59006139, 89521155),List(5181894, 60589764),List(1293054, 47986557),List(48652510, 5182246),List(13303177, 25051788),List(44960006, 51417904),List(2826173, 90166023),List(52676491, 93593887),List(32260327, 59708500),List(76260593, 306241),List(40358832, 91876737),List(23481695, 70880206),List(27764636, 3080154),List(15488507, 1643723),List(81339702, 7415239),List(23317705, 65355605),List(10143844, 64739451),List(43358964, 76520004),List(74934757, 38869398),List(74689167, 51399550),List(92980899, 21459814),List(415044, 29484420),List(57467403, 62002100),List(92545815, 16591995),List(28735988, 98145433),List(89286288, 77686986),List(20943405, 81313254),List(18391423, 13794909),List(17934157, 42135353),List(75377869, 58614979),List(21695473, 45190385),List(19273698, 14810360),List(58711676, 10369572),List(18787552, 6964602),List(61604916, 22640605),List(26713765, 14216401),List(64866442, 33199253),List(46650652, 34329295),List(35319618, 19727634),List(66096588, 89698192),List(20554680, 53621850),List(98366722, 55113680),List(91977203, 3729180),List(91266851, 55423402),List(18619289, 5271407),List(47622885, 76438885),List(99333804, 31599934),List(85373423, 16507385),List(68457668, 17035117),List(34799529, 12214126),List(92348065, 20001424),List(47611081, 91848174),List(56431488, 78819718),List(90252105, 84253938),List(60330305, 14342153),List(94806281, 59268050),List(52048835, 92296359),List(73655815, 50411824),List(32759710, 15350008),List(98324853, 29967321),List(33592049, 48105853),List(70988657, 49623216),List(72494312, 66713057),List(39502958, 59494369),List(27874641, 61589605),List(84887024, 80187482),List(43055675, 86515721),List(832443, 23591962),List(75636305, 19109614),List(93680323, 26300550),List(85637515, 60337893),List(62787843, 6099171),List(5941953, 58346887),List(93626612, 11592994),List(97334592, 1640787),List(51244140, 46805670),List(27602667, 56403063),List(80072351, 49232860),List(31116028, 65478541),List(67031058, 26726850),List(63145056, 46428301),List(93556297, 77138856),List(10595635, 12860177),List(23858924, 87434074),List(50154551, 80694765),List(40488634, 88848252),List(91765749, 44510061),List(86803008, 66523286),List(41514366, 41912983),List(16771729, 15799734),List(78749073, 10419020),List(54806631, 24737567),List(75849980, 82430413),List(26677567, 77291878),List(48688066, 72335094),List(90619127, 863071),List(81245640, 41360369),List(72301247, 28611533),List(99929085, 61511258),List(47557322, 22862519),List(30656583, 94719361),List(81059900, 81840518),List(38841576, 5705239),List(76987009, 87828859),List(25705435, 31284808),List(80633989, 19127127),List(57873832, 25432480),List(44193647, 59444963),List(27193483, 74786082),List(56783749, 66822801),List(32055467, 91197518),List(69613293, 80679009),List(35171532, 87063901),List(64056689, 25194342),List(22813857, 66918060),List(75980046, 88496124),List(1081161, 15323031),List(35739441, 13553236),List(37856448, 45438332),List(96286269, 25974668),List(23995859, 39132403),List(23604299, 64099125),List(88689535, 48240486),List(23662905, 65436318),List(77371036, 16902143),List(88452252, 59647974),List(54053546, 58075041),List(57018753, 85710963),List(51515079, 67826937),List(80951868, 19616325),List(226978, 95279493),List(65536634, 78648032),List(74449920, 54879261),List(14884178, 15376065),List(11660266, 54965644),List(1530837, 98536453),List(83013631, 15015297),List(25942379, 29021453),List(13580164, 34379515),List(80832165, 38305720),List(1323215, 81953447),List(86241606, 5540687),List(51081445, 89862133),List(5460992, 79326187),List(30029316, 50161826),List(19178093, 24083857),List(61090881, 17055727),List(87918803, 19868337),List(5781147, 51624494),List(84858134, 89198919),List(12534607, 12209061),List(95046511, 24430508),List(34184135, 26112517),List(15819897, 74059739),List(44862523, 87725082),List(81581325, 57290968),List(12504076, 45676075),List(16890641, 65735624),List(7792170, 18916627),List(66526015, 77324510),List(19908947, 31343693),List(8686294, 1508262),List(57715979, 979689),List(3981791, 80086204),List(62313423, 46559653),List(9916124, 59454025),List(17417793, 12485725),List(94925933, 81361933),List(51953403, 14537745),List(9335660, 87319458),List(73920976, 13494410),List(56777307, 27636927),List(48104094, 19301316),List(1797044, 88343291),List(677326, 3161789),List(65852345, 6123914),List(44675226, 3390296),List(84556053, 9901953),List(95343173, 69973236),List(5096414, 65375550),List(63836282, 88566946),List(58974144, 94178414),List(75599061, 68608320),List(88465902, 12617834),List(72942936, 64530439),List(38848059, 82216234),List(39272317, 91228412),List(59483328, 51872213),List(88370218, 3425874),List(46940983, 52274285),List(80671481, 73654196),List(41751468, 4290783),List(59247815, 86484360),List(32155818, 92117513),List(73286015, 11958767),List(17165596, 2368030),List(32567786, 87542522),List(78687819, 46605008),List(4791054, 64598827),List(53619901, 73248037),List(85686210, 80713146),List(51510950, 11900984),List(37094493, 89480620),List(92267690, 94591029),List(13621112, 71553988),List(50757837, 61310898),List(76583669, 638294),List(72261879, 77280138),List(95620800, 87386779),List(30961262, 99211957),List(25709482, 91055029),List(29139186, 876783),List(95784701, 33506707),List(94981532, 33996593),List(79103229, 61140185),List(91233506, 7535580),List(98559542, 90422129),List(45904285, 25175653),List(73610481, 72326420),List(51749642, 46518001),List(9307406, 556614),List(9451057, 12925100),List(67305626, 72656309),List(44087590, 55477069),List(28923360, 17055204),List(75420667, 90842562),List(35742714, 37507858),List(65292907, 72084427),List(16316811, 18347348),List(26572614, 9631304),List(88021756, 17809516),List(51602379, 68211487),List(93540625, 11872357),List(68836768, 59496303),List(32442038, 64949856),List(38200207, 46530589),List(71214639, 59682177),List(40331759, 5221944),List(19809597, 60337922),List(60432588, 90478250),List(222065, 76916973),List(1068619, 82460096),List(79521235, 48257615),List(61302837, 22177339),List(12743637, 44858423),List(12471742, 38800346),List(15611375, 96415439),List(94462249, 29745840),List(15330588, 63210540),List(47580630, 37377274),List(64499454, 53953020),List(75660234, 75168913),List(84023644, 50237417),List(35519978, 3450196),List(9800665, 31390982),List(10549455, 22137380),List(86430604, 28561502),List(51764283, 55264236),List(57974286, 98766726),List(34940850, 67142864),List(22469437, 13378664),List(21171602, 20827006),List(33746173, 41321134),List(4934677, 54174),List(63351394, 94106632),List(59862450, 65507690),List(47039264, 83416637),List(56568001, 73918487),List(15851095, 25421077),List(21179953, 4421966),List(35325548, 1979610),List(30867477, 84961864),List(60559086, 97221572),List(442854, 62631007),List(64540799, 41395247),List(55837392, 29433977),List(80831071, 66404359),List(69108577, 33544040),List(4535462, 16827423),List(36108067, 67471172),List(10975857, 47237114),List(41683953, 1896279),List(74017152, 82660708),List(4994535, 56979535),List(59348974, 81825036),List(16004594, 63903094),List(63091475, 11623765),List(92275933, 31004831),List(24774963, 96183513),List(96283962, 16089959),List(85150944, 7313719),List(372125, 30679430),List(41237944, 51015966),List(86453855, 11986089),List(4103212, 87517193),List(66470520, 65504730),List(18889640, 56610368),List(82002489, 33158247),List(93522301, 61975073),List(7697211, 88844317),List(56197861, 50593253),List(66562563, 78888791),List(50904968, 16471904),List(67324571, 95497196),List(30622240, 31330385),List(72289385, 39560475),List(76075041, 44039560),List(35944574, 69114270),List(76609160, 28755775),List(26224373, 45437688),List(6771880, 89845899),List(51464812, 45195507),List(91542449, 24434880),List(56047855, 18032315),List(96945658, 45483960),List(56484960, 76007335),List(9642281, 79596052),List(31421065, 68936912),List(78996908, 20649754),List(56091031, 28860189),List(14902669, 61847821),List(26602503, 22716499),List(86246931, 83620403),List(78305406, 51623834),List(5336775, 76955588),List(86464177, 3301265),List(55206925, 14498208),List(36675472, 58312515),List(17232628, 91725717),List(1488317, 37903344),List(97834613, 53727870),List(45302837, 10832256),List(58375895, 49974381),List(34105532, 43020319),List(84674884, 41133179),List(32947890, 25262991),List(53260646, 1911708),List(5534513, 76754624),List(69486877, 95449233),List(48581178, 74480211),List(42671927, 31662871),List(3928617, 97465157),List(50192630, 62344862),List(80228502, 42255288),List(78154008, 84837403),List(39955608, 38283471),List(97649494, 63951525),List(54138888, 16479000),List(73474777, 93421406),List(75929480, 10295181),List(24288845, 80579062),List(19841349, 87605435),List(81362103, 23031785),List(62279595, 74313110),List(65919962, 77957015),List(15921842, 1853692),List(81146399, 74366314),List(70949660, 34753541),List(19655956, 59617969),List(54445177, 51626803),List(58330917, 26367342),List(86541137, 17377368),List(98306578, 31117591),List(69019037, 77055002),List(19675007, 11473501),List(57536851, 97229908),List(42653679, 59859613),List(89990505, 41006180),List(51164006, 61133795),List(48801852, 91410241),List(64078085, 51957168),List(39346397, 53167565),List(28950558, 87137791),List(32277192, 92254275),List(4774787, 1757131),List(96171225, 15026369),List(80520066, 32222154),List(14589106, 46365568),List(81826260, 21394900),List(4699116, 77930884),List(47787272, 61397771),List(4515241, 59198381),List(86254242, 5159845),List(80022782, 87938315),List(98338598, 22132857),List(76922546, 45218316),List(78740071, 51719607),List(78113308, 38540676),List(62444955, 81616444),List(12747899, 71796492),List(16121238, 24427032),List(83334553, 47550158),List(15150652, 83048830),List(42553306, 761573),List(42461604, 80960128),List(71085921, 52886099),List(92993518, 71391549),List(55833051, 4869765),List(19636729, 31906063),List(2442347, 8788807),List(52765051, 44839106),List(51091395, 9247205),List(98148542, 22541888),List(94631353, 66553477),List(22555113, 81524930),List(55954306, 64083689),List(24074295, 68775596),List(96264295, 99371732),List(28772824, 95752965),List(70484118, 48094268),List(95576880, 75221298),List(79963123, 80867915),List(97540636, 33263290),List(19208453, 2704172),List(68544508, 77617642),List(49214894, 66215273),List(51513462, 29757290),List(95184291, 28299116),List(65972437, 3710512),List(27010588, 24954280),List(53872843, 97676359),List(16177205, 87153980),List(12843761, 37677938),List(46442163, 51729753),List(56408526, 98548683),List(38725302, 74814117),List(45694156, 29215388),List(32091970, 61595457),List(82904489, 69761700),List(17687532, 75558361),List(36605975, 1579844),List(96758114, 70703571),List(27755998, 60182720),List(95186605, 97482863),List(76760747, 3570356),List(90490538, 18780175),List(64136678, 93821213),List(12975390, 79822093),List(55985616, 59172016),List(66818858, 92144314),List(30917443, 53954067),List(51200808, 33107211),List(54273517, 28696273),List(79441756, 28822250),List(92197153, 6051866),List(96539397, 17661570),List(97197574, 82332644),List(27389790, 28005555),List(79060287, 93416823),List(14567597, 7278122),List(10739969, 52754560),List(6826719, 76068781),List(42904682, 68156111),List(79450824, 2188059),List(8946023, 11042206),List(85677702, 70890867),List(21555888, 57564935),List(32054407, 69173361),List(73933937, 70013824),List(29816525, 46462096),List(84349158, 26550467),List(2962046, 38540280),List(8880016, 37617226),List(27115316, 42395581),List(21128784, 54663543),List(49625091, 66792947),List(15476923, 15483461),List(92865018, 57943804),List(77096894, 29596149),List(34537041, 9685914),List(11926522, 29644347),List(51581005, 73508779),List(9293864, 52370351),List(86071264, 81164144),List(64069869, 30000998),List(707259, 52731870),List(64577119, 51069),List(21881856, 56620641),List(26743038, 28172509),List(36682154, 95638962),List(97185806, 44557340),List(15637936, 995349),List(97261032, 81476551),List(20913213, 92060193),List(75661850, 45152091),List(90848956, 56950489),List(49045802, 12240428),List(68207608, 71356717),List(40471883, 88839434),List(73885538, 77588112),List(41205512, 15175477),List(57945942, 3471582),List(64622125, 54037769),List(34179081, 1099810),List(89826663, 81836770),List(67072042, 89575891),List(98905002, 67404927),List(74288220, 42799655),List(62075978, 28355216),List(81815347, 50860234),List(1317302, 44001684),List(84893244, 75085006),List(10019713, 88758034),List(8842618, 46234488),List(78784371, 94711219),List(34033146, 99223682),List(62178710, 84804942),List(26759103, 76511865),List(10397105, 83437883),List(37935625, 86363855),List(44571166, 45370206),List(77172565, 99307719),List(45325696, 67681523),List(55376542, 70926622),List(97663862, 28331539),List(78445336, 95055431),List(43638829, 66338041),List(34960445, 36841196),List(52930272, 45181642),List(71114838, 92169335),List(14370804, 16662455),List(23218076, 85976561),List(94326560, 12924176),List(57595090, 69184594),List(37012829, 58808927),List(623822, 39818901),List(22341533, 79366105),List(75251137, 95607236),List(24744507, 58660939),List(80524146, 69593272),List(77404377, 51080842),List(17922166, 24772785),List(98950535, 75277974),List(49678281, 25459644),List(62486281, 69526109),List(38013173, 93540120),List(98739327, 22074013),List(52850930, 2071926),List(98054871, 52565121),List(69376045, 41157293),List(53148564, 74247616),List(99720799, 786282),List(46912940, 28493936),List(91012716, 1099486),List(68574395, 74256418),List(14473566, 96901548),List(75419390, 12935785),List(52779459, 53519939),List(47761812, 44055257),List(73494896, 57801224),List(62427319, 75143431),List(20950025, 1579685),List(57907404, 10431040),List(64672473, 87472356),List(94763703, 71524499),List(31175300, 91830085),List(36290062, 57434997),List(93410775, 8249456),List(35285172, 53185150),List(92508327, 10235829),List(77631895, 94116209),List(74544130, 13567573),List(89911997, 95506472),List(58733444, 80969125),List(24275782, 61393037),List(17662215, 9264627),List(39440686, 85925405),List(39620773, 62698596),List(35569926, 27789031),List(91236691, 22337184),List(85928685, 36425122),List(28570880, 42789258),List(47391299, 21353820),List(24008909, 38474917),List(77465078, 81383187),List(96780763, 17588100),List(90950650, 289951),List(48784158, 36836171),List(1930578, 60151894),List(52904707, 4918398),List(18527760, 94578087),List(57962372, 98884128),List(95985788, 25153684),List(33906538, 18704550),List(96567553, 64774050),List(36034962, 16438806),List(77009628, 89469095),List(78375117, 68692725),List(3229382, 42781474),List(40389847, 55398938),List(20649371, 89418176),List(6051450, 65388143),List(13258578, 19386808),List(63137230, 30774891),List(72161118, 51440296),List(87346800, 9553210),List(52399833, 70890567),List(75219806, 21526935),List(93423094, 41564921),List(76524632, 50579386),List(66372420, 92335804),List(63840461, 96082666),List(99168143, 33726328),List(97350563, 28671050),List(39616221, 2775869),List(53329989, 71029877),List(26804645, 53858555),List(18035426, 73100182),List(60004552, 27472999),List(90865304, 7263975),List(37538980, 98484956),List(33520449, 10689176),List(59275710, 49316535),List(81843507, 63471263),List(97513472, 34634154),List(23141683, 7726463),List(71566921, 23170053),List(27580573, 65252485),List(86569919, 66039164),List(66486125, 2963270),List(27953951, 95282761),List(82988498, 72360438),List(83261323, 26208660),List(17744048, 43890935),List(95798273, 36164760),List(76620092, 38820820),List(23503302, 74795367),List(4347080, 53936314),List(91418005, 86821683),List(10333867, 19960606),List(38569611, 39555601),List(90242832, 31511202),List(67807275, 91179154),List(67911261, 31133138),List(13329619, 44592063),List(44696648, 63432542),List(27454951, 65067907),List(4722598, 61188596),List(61591534, 61748244),List(35061722, 66366116),List(31954718, 86865019),List(57149757, 78739188),List(11165052, 91707303),List(29525417, 31694495),List(23660132, 81092737),List(28861395, 40668101),List(93536714, 65734466),List(88724701, 31226086),List(41620944, 62706944),List(32098558, 72639925),List(65993679, 37151046),List(15120897, 8192314),List(76738466, 95227597),List(71742646, 57405937),List(89675226, 63584973),List(10966567, 83314130),List(60472070, 16222140),List(48968447, 15461149),List(13841594, 55611502),List(58140224, 75106974),List(62358273, 39742390),List(25091305, 36672389),List(4223600, 47701313),List(65631731, 82625336),List(80348163, 87100025),List(86841889, 36697016),List(40559022, 44717325),List(21399821, 99950315),List(37079967, 51090978),List(43060159, 7009710),List(46005045, 63706890),List(80910519, 3290813),List(4361234, 99816744),List(25996183, 13994629),List(14827141, 67742416),List(48060092, 64881641),List(96336240, 73465546),List(71506061, 95960671),List(57396108, 66966617),List(76259497, 21401280),List(96251468, 62637755),List(54437685, 66810275),List(92790886, 19138576),List(29028186, 82774454),List(6799906, 35285111),List(14502274, 14245306),List(85104954, 94489106),List(32544354, 33269911),List(84169494, 82996842),List(3285580, 88580050),List(55137875, 37846582),List(77819686, 49109271),List(33722633, 91989625),List(37533689, 94378452),List(66144557, 92923336),List(31698694, 62706499),List(69639823, 91109827),List(41298467, 9056552),List(90532128, 79651171),List(34070690, 89836255),List(28974828, 87993058),List(39193907, 67661290),List(41510739, 29394168),List(17672387, 18028162),List(39255636, 89021045),List(69785995, 77790915),List(70002732, 17994859),List(27449649, 97349133),List(38970298, 94729406),List(20533251, 52849673),List(90529325, 57023226),List(84745624, 29889281),List(86565425, 22961262),List(33818603, 78280967),List(54821596, 4237881),List(72379844, 18446938),List(10864538, 26835452),List(59595690, 73677648),List(3137259, 81193069),List(48913531, 4835806),List(76974129, 35738786),List(34987700, 13110474),List(87156139, 27609029),List(36211896, 12419920),List(4617629, 28560656),List(19382353, 38067832),List(51834296, 80219910),List(18710364, 10837962),List(6868459, 18886854),List(34671633, 62705579),List(96729752, 9399257),List(27492278, 32647982),List(22731840, 23034137),List(62119688, 26401511),List(10731389, 64000982),List(59965681, 55520673),List(13021067, 69081243),List(56362747, 8179168),List(94234004, 38578883),List(96716149, 5236804),List(9645219, 81884593),List(32324568, 15440793),List(40263672, 77475439),List(53906110, 67680227),List(21138647, 46788554),List(7519114, 57106273),List(60258276, 53538726),List(50910292, 54210099),List(27451021, 66686977),List(68394988, 65994776),List(62268171, 13429326),List(12900056, 92574416),List(68555345, 47332422),List(73629420, 52219185),List(1158517, 56272828),List(54939010, 21863729),List(50797637, 34248784),List(40250659, 606381),List(59691230, 98357210),List(54357949, 18304351),List(30802593, 91054219),List(24049364, 26360122),List(61099089, 94382533),List(89531120, 4275756),List(26521945, 30114600),List(7420779, 1789361),List(9770356, 50084111),List(11078896, 89050770),List(36149572, 71988051),List(10598798, 41380633),List(59503703, 43836253),List(83015598, 58590761),List(48904272, 96088197),List(78636737, 56087182),List(42205398, 83351661),List(14119119, 22815157),List(55997520, 7996595),List(51023909, 84390208),List(21249338, 50966298),List(7437151, 92106709),List(31378100, 2431563),List(39277136, 77279426),List(58747015, 19619158),List(97819767, 30451390),List(51195719, 50717522),List(78604421, 63453475),List(14582171, 64656915),List(46390777, 10483486),List(60693156, 78871453),List(94179248, 41544878),List(39710937, 21813279),List(5044299, 11776008),List(74544345, 51167001),List(79866499, 35060643),List(92881798, 46739247),List(47962487, 89385914),List(98207228, 52335245),List(82565120, 19264538),List(51465221, 56343281),List(51345671, 57799874),List(45102702, 7954297),List(80102787, 76235844),List(86580946, 67308994),List(23688636, 46441985),List(3997046, 50200241),List(98561731, 27255107),List(10826657, 58981923),List(13417252, 14925164),List(83415765, 70213835),List(200301, 73485319),List(41526873, 46708299),List(26433932, 90543445),List(48239706, 90085268),List(42352474, 74534640),List(3611499, 41649809),List(6447047, 48911639),List(67835071, 99398505),List(85737286, 24628942),List(39710050, 94276010),List(44250826, 43408318),List(191375, 12198155),List(11155082, 90017203),List(77805479, 66583265),List(41759582, 98111612),List(28659463, 99605133),List(75776016, 9795238),List(96591920, 35581665),List(25103963, 71982001),List(60239453, 66918086),List(81652267, 19834207),List(84368594, 89177087),List(86786007, 57911144),List(14938425, 53353818),List(99358841, 22705025),List(97935235, 95772720),List(34794005, 74096710),List(97739669, 71506807),List(2917922, 50570033),List(91159228, 75284112),List(19760912, 42541128),List(80896548, 95814671),List(27657558, 6233486),List(10828189, 35606242),List(12314145, 46531326),List(57882574, 31198460),List(70080185, 24083857),List(66015991, 51977508),List(3469486, 91817133),List(86026419, 76688707),List(14512181, 2070456),List(95165123, 25390839),List(85554958, 11627518),List(6722342, 81423699),List(84241142, 49308367),List(57177915, 47990634),List(30595810, 37723523),List(48750338, 90072554),List(41190832, 70307852),List(89145765, 84331154),List(14718732, 2411659),List(71799862, 42724112),List(67864143, 18469861),List(20449340, 37016425),List(16600438, 78559997),List(29586399, 462308),List(57533436, 4764410),List(13226856, 26130373),List(89165064, 3785904),List(40639794, 61066577),List(46143370, 75245267),List(70710094, 45803027),List(67189928, 62819891),List(57940383, 45884180),List(33184935, 76677432),List(94855672, 96920633),List(22292100, 6970464),List(27260057, 59543089),List(31745930, 32356222),List(38276457, 8191284),List(60392666, 97731039),List(81078749, 56754939),List(79223323, 11943370),List(20562671, 35900418),List(33201164, 1658191),List(26834676, 97084661),List(54007141, 63189417),List(89750841, 5904455),List(97252595, 60924022),List(13747017, 50768422),List(3160598, 12122473),List(82628466, 32510176),List(72569594, 3267746),List(92135949, 37328226),List(42275676, 52102479),List(38989944, 36256459),List(73773425, 29212631),List(14156831, 52362619),List(98350307, 93731110),List(97736265, 37114377),List(51364340, 21795428),List(82449348, 18859308),List(26511108, 80204249),List(11499381, 17117829),List(43800541, 21006748),List(46288702, 47435673),List(42005462, 57720197),List(63970922, 6060546),List(85495239, 90290974),List(85299567, 28152919),List(28313094, 26885462),List(76920030, 87548242),List(31820460, 33467813),List(24691867, 3720422),List(92768422, 10147888),List(39478524, 66238709),List(84140509, 32510287),List(45027234, 60272102),List(51028658, 62604180),List(85651877, 87071884),List(48446606, 37892647),List(29766912, 19242584),List(3380712, 61078126),List(19074324, 35710389),List(16891730, 52141359),List(97285592, 61366006),List(69402150, 90153731),List(99475323, 14518626),List(50428747, 43685775),List(37762419, 77894072),List(25163767, 8320174),List(38694525, 36940153),List(47479433, 27095763),List(81275117, 27126441),List(17669233, 27943957),List(33992618, 10825068),List(20983747, 33094094),List(14834740, 36870090),List(76850387, 78377072),List(86949909, 76552456),List(11618488, 11098532),List(88655929, 94289036),List(33739873, 98147642),List(61789614, 16329666),List(28715661, 32837516),List(68333253, 45429918),List(64083369, 12937860),List(42094393, 73469878),List(39702383, 50427177),List(63611561, 57008069),List(3564898, 15356980),List(54304795, 18003719),List(35052714, 72548445),List(3789403, 73694342),List(8136206, 85537512),List(55589507, 19733775),List(9521243, 60152650),List(192273, 87072012),List(84809365, 27509810),List(57465871, 4891113),List(86952697, 44687758),List(14050211, 1792649),List(76921954, 59128369),List(60848765, 85712727),List(26079679, 77926279),List(23429269, 2843756),List(94955316, 96834375),List(1747411, 35608019),List(61085919, 57610004),List(835822, 32880216),List(71737538, 41919481),List(45261214, 19071548),List(33143242, 76003584),List(42746144, 92335487),List(96188168, 30597975),List(10118957, 83923076),List(45230833, 62481542),List(17296504, 44874614),List(92567254, 38415856),List(93198058, 70751175),List(50684314, 45379771),List(57423075, 58174702),List(43037713, 89728911),List(63453808, 29208794),List(71950429, 95831711),List(69788875, 91247307),List(62653075, 52675767),List(64036370, 65802970),List(61150796, 96147564),List(27107856, 53694985),List(56448907, 89424159),List(34808968, 22824833),List(75997189, 39314530),List(99539061, 68494836),List(76012268, 3382917),List(55849514, 48641441),List(65392500, 89045455),List(19893500, 78743730),List(92703503, 58719334),List(3850553, 28497170),List(50338582, 94783227),List(77533960, 11495025),List(8393188, 97553108),List(60838715, 3168641),List(86395332, 17706418),List(34269091, 46811519),List(89023132, 41782543),List(50068924, 51969790),List(65763716, 66095412),List(65095280, 3068073),List(77631057, 22204331),List(73484925, 8219386),List(40215281, 38923229),List(48250476, 97456092),List(58900682, 87879708),List(24311289, 16644521),List(35154586, 50639849),List(54559214, 44537152),List(27040780, 86779967),List(23324819, 92308580),List(18506807, 35634259),List(63528784, 40571879),List(33438409, 32504864),List(40880960, 35666559),List(67149487, 67576421),List(98305196, 81977354),List(47284567, 38589350),List(42298524, 8353777),List(48067444, 24156991),List(93643667, 47079286),List(79802403, 51374848),List(67448718, 72407274),List(61937542, 96994751),List(12972142, 9686304),List(66004521, 3003314),List(86645803, 89855444),List(42320594, 66831307),List(95625165, 98757845),List(7025538, 15920698),List(59555575, 15722737),List(83100011, 46661376),List(83859285, 26646477),List(62324743, 41318716),List(5575149, 15707321),List(94728898, 54223078),List(14514887, 78815311),List(5354207, 4970924),List(37433802, 97605528),List(56345451, 77872504),List(56690751, 74505126),List(62786828, 86677726),List(88928793, 54435539),List(36641287, 67021487),List(15564021, 56186871),List(91821040, 64986245),List(68988952, 47010463),List(45351548, 4242848),List(50474950, 56890465),List(55456225, 48370633),List(46424185, 3350231),List(35349466, 84433725),List(66070035, 39869711),List(63998869, 77722755),List(43645383, 72319778),List(74613372, 89812458),List(74913561, 59630232),List(12440044, 22042194),List(54608500, 57480255),List(34531412, 98486054),List(52164164, 96562886),List(89346678, 23801990),List(8406963, 58732973),List(87288739, 97320183),List(59480250, 60924382),List(46328941, 76582792),List(64275837, 26829847),List(93895702, 26957981),List(28385846, 12503723),List(86420948, 11585281),List(83715239, 43233241),List(42364883, 87086252),List(85494139, 69365759),List(17734265, 60162546),List(45211200, 44850231),List(72657383, 18958965),List(58896855, 35649230),List(93768828, 30864141),List(92486688, 50671240),List(4961957, 43922452),List(80587618, 35529330),List(29261967, 93810052),List(10380087, 67563941),List(69559726, 55503504),List(34852513, 89742216),List(24161920, 28481401),List(40479501, 10951148),List(60342363, 4095468),List(46768224, 82303604),List(17738094, 17022247),List(27231645, 71022130),List(54406172, 96591970),List(96554537, 39535214),List(49633398, 35365661),List(36935194, 79005728),List(75553642, 48226292),List(42432684, 31946835),List(20756402, 51348822),List(35406347, 67354296),List(94138818, 66980715),List(97097115, 14924342),List(23798582, 90807346),List(4757005, 56163443),List(69399676, 54939347),List(32597324, 59667555),List(83266984, 22426241),List(29571465, 37917405),List(4003329, 70064277),List(22499149, 97202474),List(96929849, 76337480),List(52017372, 42896215),List(6939894, 24278531),List(78599008, 73939463),List(52746577, 22456783),List(46929217, 87998075),List(64349612, 21291524),List(20490142, 7054678),List(80835790, 6067340),List(12851862, 25094029),List(78876612, 81080406),List(89977027, 32085164),List(62283765, 80602660),List(51000348, 28382131),List(26637786, 92805647),List(13847207, 91502030),List(30151432, 16383361),List(90244739, 99980602),List(80404561, 39423245),List(4615718, 26522556),List(68051191, 71040309),List(58433608, 28216172),List(78320158, 80858883),List(56745981, 24622187),List(89627489, 15519008),List(15850746, 28592929),List(39198129, 14126026),List(97589015, 19040),List(26370061, 63177311),List(28320316, 58926099),List(53960345, 42158688),List(51985642, 42375653),List(21548763, 65494892),List(3811551, 30500041),List(62814299, 97034729),List(18258016, 22960781),List(40830601, 17876855),List(48682992, 79363753),List(83813328, 80526552),List(77298361, 10187620),List(93310184, 61080654),List(66241840, 16792138),List(46838140, 45566814),List(96044727, 94506238),List(57919052, 22173646),List(85065673, 25202476),List(51281701, 63013093),List(40543707, 47618934),List(11195127, 78296120),List(42497670, 31388577),List(37278108, 13590139),List(5116388, 53525579),List(18465930, 13322954),List(4753405, 3050271),List(32302828, 9560604),List(15528624, 58763035),List(69063200, 16920139),List(48031215, 42833349),List(26262154, 24064175),List(66187874, 11102729),List(73563474, 33123148),List(26789790, 96500933),List(21096610, 77551753),List(94447824, 78449710),List(38236650, 37774545),List(99673964, 5006571),List(75574386, 25097556),List(5060387, 7019762),List(51861185, 14055118),List(40719375, 40922883),List(74824945, 95414875),List(30548879, 9552718),List(11410919, 15303590),List(55878664, 56947990),List(48847932, 25721977),List(67155127, 83423904),List(2758394, 98379250),List(76546164, 82394632),List(30072322, 94687207),List(60391584, 65732587),List(77849255, 6445876),List(94158366, 10064035),List(75186245, 97007140),List(2351706, 7795331),List(28562990, 98666813),List(260977, 9683607),List(89117669, 39612366),List(63736595, 92177170),List(93625774, 89575756),List(12461216, 35911480),List(43067781, 38143273),List(72002762, 15070417),List(74409298, 94447286),List(63366269, 70529009),List(13866361, 47485173),List(19580939, 13321711),List(77854248, 61489032),List(51897810, 96109686),List(99373596, 42525716),List(19076328, 43870145),List(68711861, 25934627),List(84394229, 59467380),List(32614889, 91715686),List(49952579, 86332174),List(96537325, 47383478),List(76459980, 89716590),List(41926821, 82124870),List(85135077, 57087681),List(78647966, 70652574),List(78445852, 56719392),List(3606224, 82538397),List(35626646, 61034812),List(4013210, 96576820),List(66437215, 13443619),List(54106944, 29859899),List(9523736, 87536911),List(83258906, 48885135),List(67842493, 36475045),List(91262186, 6380946),List(37076039, 20142390),List(90132126, 84051609),List(31386255, 36999624),List(59372761, 80006177),List(26934818, 6226272),List(11822183, 58820071),List(93497866, 79252578),List(5168442, 9353789),List(44291430, 51875129),List(81101133, 31088272),List(56320965, 86198567),List(71231483, 11147844),List(21703450, 31712017),List(11122486, 49142894),List(48385536, 68322544),List(54367833, 23647166),List(27232062, 28577956),List(72086150, 95906325),List(78143795, 33843420),List(28229708, 21236165),List(80599592, 4874131),List(79454591, 49803403),List(65945145, 47675547),List(39924527, 88400746),List(14153770, 75421973),List(304805, 95824736),List(89240585, 30552673),List(97046154, 90920265),List(66560977, 71104395),List(60022793, 69519546),List(52728320, 49210378),List(34104715, 15722787),List(69270447, 45887487),List(45223108, 16536849),List(73347102, 77680670),List(79765874, 77187201),List(50218642, 46101645),List(56109127, 71036994),List(55955729, 76479626),List(19767324, 44031065),List(78269312, 65821267),List(93005844, 44231278),List(30104311, 11777246),List(51418572, 48985518),List(37449059, 60597379),List(15826927, 93473486),List(2129269, 39646630),List(16890636, 99815690),List(35878903, 42787823),List(67798522, 8175977),List(20119291, 19469837),List(22291165, 12003625),List(27689256, 81590043),List(19704987, 3199074),List(58707279, 64230073),List(69002710, 18298610),List(72066212, 38690130),List(63171652, 90798164),List(49182651, 8306777),List(22646544, 52155490),List(71776159, 59862181),List(26738263, 85239547),List(36409733, 84423757),List(7814089, 52907480),List(61226992, 47244754),List(64970183, 53258907),List(82487799, 40997795),List(40395289, 19728562),List(66966466, 81106412),List(27501924, 39599654),List(52204108, 78882390),List(15827113, 30864191),List(54010311, 17762870),List(46446361, 81943242),List(21964936, 36227984),List(15690227, 64061461),List(70676287, 23876071),List(83868625, 24911279),List(38319756, 67397849),List(87953894, 40616651),List(45752203, 21523482),List(89732209, 29509388),List(288735, 21686013),List(34669691, 90003447),List(7027143, 59239401),List(99299395, 33072346),List(33509354, 92227223),List(71747917, 27809262),List(65100274, 22887753),List(45804164, 10202535),List(30406018, 38935478),List(7748736, 19261989),List(97702610, 31073623),List(80326556, 8652378),List(91479482, 87643486),List(49202389, 31584803),List(5054940, 48394922),List(69407526, 43257120),List(32863149, 95564699),List(97325120, 21941645),List(84504983, 42267979),List(79122278, 14924270),List(69879963, 87911460),List(92195912, 80060805),List(17430232, 94966197),List(49838817, 51915635),List(4042615, 20022584),List(72450621, 6420381),List(56344365, 14735620),List(58978041, 60649489),List(8063382, 15556350),List(90366312, 92284304),List(92589461, 5107400),List(26040837, 66816396),List(66211293, 60289952),List(10132231, 20752884),List(56969205, 5240279),List(90526986, 74019149),List(94405349, 27713639),List(78970055, 10297325),List(4313248, 24328560),List(10334105, 14340330),List(97554073, 36705512),List(17065922, 7615561),List(37100101, 93989527),List(69860859, 84332712),List(6505641, 74418535),List(71091492, 1813680),List(39239843, 80952977),List(12901775, 77614827),List(59367916, 47341885),List(25117378, 29348672),List(33364268, 20921268),List(47117213, 44207867),List(43168467, 74797610),List(7075497, 42357145),List(45495127, 59135646),List(1467094, 37242699),List(93496563, 47824096),List(83885148, 31637707),List(97312431, 93363195),List(77820743, 71871418),List(4905009, 33264644),List(2416418, 60461628),List(80931007, 38975168),List(6204252, 65533453),List(96747956, 33366254),List(49245125, 62089974),List(93130021, 45456272),List(40458999, 48866570),List(90119691, 61029663),List(36193135, 51202591),List(76587116, 15600939),List(87674847, 48093998),List(33371091, 77359233),List(41391403, 73763913),List(7884126, 22430698),List(40242152, 68017848),List(10986007, 73300112),List(85559593, 15446052),List(83840113, 31158513),List(99833346, 7836723),List(19658930, 90791826),List(13728016, 37055861),List(60402665, 19934092),List(68772045, 96622621),List(52148023, 82495713),List(72958667, 80150649),List(67323094, 34234918),List(63951152, 63490143),List(38058070, 8619705),List(60586347, 34542901),List(35564375, 69627238),List(71936978, 82447632),List(4928418, 19591557),List(11660727, 89575707),List(50685394, 59901267),List(15196479, 95359854),List(64603390, 56616323),List(82235608, 29727839),List(62381334, 64810884),List(99008992, 41128185),List(51002017, 8623385),List(71603416, 41378549),List(78290177, 92917635),List(46796566, 99052926),List(51981257, 21835178),List(7131788, 94949959),List(77757466, 98027672),List(22552882, 26918897),List(91353470, 72906932),List(61618428, 35449829),List(7934331, 8685304),List(20159138, 55791005),List(48826972, 67962092),List(73296624, 79152823),List(40703833, 85638067),List(99490243, 83590974),List(39981246, 23716771),List(30963064, 98657849),List(49240614, 73892749),List(73261635, 42495009),List(38049710, 7692825),List(14192593, 13405726),List(36165383, 48232537),List(53576825, 83671628),List(35728297, 35453139),List(51041524, 80414599),List(8366667, 30676012),List(48463378, 39090204),List(87082463, 66277882),List(73276310, 26343484),List(41397127, 14981115),List(84971142, 49271626),List(85973004, 16282063),List(60440231, 92403299),List(49860250, 73207347),List(87469196, 47819992),List(35245604, 76614738),List(40430167, 89001342),List(31180281, 10511545),List(30299529, 3559929),List(14739985, 98183134),List(51501681, 45217885),List(50526342, 44279941),List(36502257, 75041362),List(62225294, 93027962),List(44642273, 14565575),List(18382259, 16223234),List(79132122, 79381616),List(80367865, 40615439),List(34101462, 31629437),List(64992721, 83595638),List(9347518, 99666176),List(86531804, 1544051),List(47765828, 79311219),List(21029618, 32307177),List(94536234, 65925537),List(89199213, 5765571),List(33670654, 45816524),List(16123123, 73243564),List(49655891, 35396624),List(3656523, 45394908),List(82789977, 84095544),List(37129556, 99423709),List(76755007, 59803046),List(37587848, 90061046),List(77784314, 83886630),List(51878420, 71008505),List(80117162, 16665631),List(85167565, 74581524),List(6489164, 3388087),List(25875979, 80230895),List(76200310, 18886451),List(62194013, 66786957),List(70416812, 18447743),List(12523043, 80534113),List(92161237, 77801423),List(68683856, 6705762),List(28540698, 29103995),List(51595402, 66185379),List(99441443, 38207018),List(89341459, 99176310),List(40706125, 52470113),List(10200091, 27373822),List(85119733, 10485709),List(1534316, 16126248),List(7307432, 70027514),List(10697923, 96859341),List(65617109, 45882310),List(57091882, 31833493),List(78990266, 95856091),List(12202182, 57249461),List(41413020, 46201272),List(28121415, 27990838),List(18288516, 79677824),List(9769490, 48871296),List(82495475, 29208729),List(25090953, 68650372),List(84926656, 94849717),List(61827797, 72905528),List(67399340, 82463971),List(52335913, 49134086),List(41060098, 91525366),List(58989354, 79353100),List(2573158, 9009080),List(4545000, 27426334),List(466627, 85887093),List(6891347, 46085685),List(61286814, 44518655),List(79320972, 66264643),List(52261738, 18384317),List(99592993, 75169147),List(38064672, 12256018),List(74500852, 8202415),List(11603949, 14949166),List(55956403, 25337817),List(47954819, 87886056),List(24629806, 33703230),List(99653911, 29672468),List(43405870, 752463),List(4810862, 97490169),List(44586134, 22299556),List(55373463, 35709798),List(77646231, 9642250),List(71774049, 51713646),List(31109402, 57887852),List(99082062, 97032663),List(39986783, 84908593),List(34549871, 55237981),List(40653885, 54774462),List(15742835, 34234057),List(59588956, 56329466),List(62010300, 70171762),List(31062429, 28556621),List(17265934, 74079032),List(25700490, 84385976),List(29877067, 74704837),List(3543287, 17977053),List(89411675, 13579639),List(858864, 73461825),List(74861919, 64900733),List(38501277, 90359786),List(60234987, 92803578),List(18495790, 97920848),List(13618698, 18509085),List(36920884, 87083637),List(68010116, 87182600),List(1562673, 64779058),List(3709984, 47106630),List(76589422, 72767867),List(92799122, 69989090),List(57015483, 81704998),List(3596768, 58935010),List(88705410, 78861706),List(14497849, 89643725),List(59412946, 79046384),List(35887479, 13121841),List(87158318, 11642376),List(63779044, 61626115),List(30548056, 58950460),List(13633822, 52267972),List(98630355, 50274703),List(26719893, 61277789),List(53836494, 15272813),List(74375759, 21456772),List(37612583, 48668505),List(1291889, 54965287),List(76696516, 3745308),List(29660730, 49180935),List(17943009, 19189639),List(99610741, 5196056),List(80949185, 92410316),List(3821053, 71969908),List(92222188, 6233692),List(39986674, 3764992),List(88282793, 71468969),List(12791461, 70205076),List(426086, 96988154),List(9908934, 31857548),List(60480149, 38773715),List(50346951, 39071347),List(12921621, 31728446),List(68742755, 75032842),List(67644148, 76349515),List(49371492, 90106704),List(95991139, 3341552),List(30392160, 98319656),List(83087247, 27204545),List(82982264, 29949390),List(50680881, 80524361),List(60286255, 18856170),List(48041675, 28412633),List(31979813, 85002189),List(23696163, 71814618),List(72634245, 16730780),List(93051362, 57021883),List(4048370, 41663384),List(72986881, 81990175),List(78108539, 66781358),List(15948078, 73378338),List(4847792, 49674567),List(84273514, 49171514),List(86669155, 89708817),List(68233478, 49858431),List(15954472, 11329203),List(8378397, 24038419),List(73451716, 48723582),List(82208456, 67545996),List(77536196, 84290002),List(24140986, 4728419),List(94530501, 26915031),List(81601370, 85080738),List(15290855, 63887754),List(36255122, 12780077),List(6528261, 63146091),List(27520859, 199491),List(18339886, 38201529),List(53161181, 60060100),List(3114008, 49448755),List(92909997, 85191446),List(18901261, 92793909),List(94554148, 99013368),List(4821401, 87090879),List(63673766, 74992600),List(46878079, 25007394),List(94337201, 9721516),List(96214248, 39518692),List(8453713, 48682116),List(40894180, 13008233),List(80852289, 19929220),List(85372803, 91399044),List(41320223, 50601682),List(87031986, 5171863),List(52827740, 31440910),List(32977540, 46174296),List(68641878, 73620023),List(96972676, 7591709),List(12288691, 60309081),List(88759998, 94209323),List(80114471, 93327855),List(38741954, 22552641),List(7621426, 81490685),List(32894033, 51106859),List(40220978, 33256827),List(23006915, 80443882),List(7208041, 4975110),List(45104134, 77237967),List(78671628, 15423719),List(29688211, 877436),List(19679374, 50526834),List(93993503, 26856348),List(61928950, 3818357),List(57175513, 38100358),List(46196616, 69191335),List(9540938, 76005907),List(86938767, 46453832),List(58772522, 89648360),List(66581008, 14475309),List(24175169, 85307362),List(85179937, 23704282),List(26364436, 70039807),List(52833037, 79710508),List(60894285, 1101715),List(24998355, 24879979),List(20229204, 62768421),List(36602562, 99119860),List(80213201, 24050019),List(78116680, 18648469),List(66133111, 59536460),List(8423771, 21495712),List(64449527, 21526904),List(50163788, 59894731),List(89577001, 37191018),List(11719951, 39537705),List(66869073, 5356574),List(97812444, 9164663),List(65426140, 93999006),List(56486697, 13452389),List(91349266, 53262908),List(57280401, 81917387),List(84717547, 60437701),List(65342858, 89981671),List(14364093, 47372924),List(80265276, 48872268),List(90313186, 72914015),List(68145252, 81261335),List(89637626, 19898515),List(9211160, 53005580),List(38225501, 26488451),List(70370165, 7292138),List(22580125, 72890417),List(89975795, 89396376),List(80792501, 92395952),List(47350583, 68489051),List(71014514, 99693586),List(92398955, 57123642),List(21341487, 35623222),List(25465974, 35573067),List(17954322, 56542954),List(91713697, 83639307),List(21799729, 68453287),List(8036192, 62925987),List(18156359, 47203876),List(84433421, 57127731),List(41552862, 94640542),List(42797269, 67138858),List(71317221, 18347984),List(79665382, 23941325),List(61922804, 26771654),List(34881061, 49640142),List(36316397, 97458661),List(48202028, 76199750),List(5990530, 39748737),List(79541408, 46312939),List(37871760, 83431763),List(85516445, 55093154),List(63874303, 61026172),List(40487904, 38650654),List(34758717, 53884534),List(28190857, 55190605),List(48114651, 95374395),List(1617648, 93812204),List(85716624, 6922429),List(61567090, 69684479),List(12193426, 11892376),List(19032354, 35324960),List(2844209, 46012405),List(24081362, 75379829),List(76038399, 61602216),List(1436835, 48244090),List(39797457, 3812300),List(46433368, 95542740),List(21013934, 63707100),List(99265231, 30820452),List(4472338, 110739),List(48089009, 46820712),List(95337831, 67026864),List(1800554, 13788738),List(6659748, 63545324),List(57810725, 84180152),List(84368664, 7123731),List(5038647, 52479761),List(49761316, 31079030),List(90442183, 76839738),List(44743840, 66664313),List(13553214, 67095161),List(68376468, 83886057),List(36213383, 35674500),List(59973268, 39479611),List(49300235, 57671309),List(34810678, 88612884),List(8899600, 43784602),List(62270577, 88545875),List(94482286, 54301626),List(10669292, 39004443),List(41116802, 39537396),List(79556242, 4091238),List(60445122, 33476434),List(18581917, 94946249),List(36582144, 68215450),List(58526540, 95549203),List(67564421, 61104937),List(19689982, 44822281),List(46940161, 44751863),List(60046689, 86308236),List(36118377, 10414503),List(39312835, 5757728),List(62438965, 96691171),List(75571853, 66493587),List(43735770, 97978044),List(78963151, 38740209),List(51712954, 75028818),List(88032857, 76662433),List(62600165, 86087292),List(56063304, 72542730),List(6307737, 49591822),List(56282100, 99212152),List(79655210, 28586068),List(1991812, 15621481),List(11507929, 8503514),List(19043284, 352798),List(85733458, 98723936),List(94750327, 50819430),List(25677569, 16981788),List(27086574, 70090833),List(60150629, 74291442),List(85723235, 11071016),List(77482435, 27845326),List(70548209, 45996197),List(84263586, 6507783),List(72752649, 68222879),List(37601577, 23995944),List(96291886, 38814989),List(98057747, 50652330),List(63471925, 74697550),List(39183446, 60906418),List(27779401, 77360814),List(89136026, 29862261),List(28984891, 16464947),List(51575429, 72421049),List(27141278, 58152125),List(40377474, 59753663),List(73171716, 20608984),List(75287651, 31674541),List(87790066, 52724189),List(70958353, 7654072),List(86149340, 29686332),List(39519758, 66477408),List(8979961, 42008260),List(41038147, 41261170),List(21582875, 5967311),List(55615875, 36430823),List(28085572, 92326041),List(50106004, 19328983),List(5205673, 99894918),List(57927120, 15065036),List(11130524, 74450179),List(86402425, 96990817),List(69585943, 40855373),List(20577814, 1045745),List(575553, 51148839),List(63991608, 88947602),List(64648707, 91484049),List(41332547, 55675870),List(39134404, 56131179),List(32030106, 72632512),List(52635891, 55654206),List(28191573, 64047723),List(72319189, 85835847),List(52937820, 66535163),List(30805942, 87094133),List(88524948, 16571376),List(95004776, 54475333),List(68539833, 23283148),List(35663339, 62646889),List(98389272, 3460744),List(87588125, 43931019),List(80298423, 86011727),List(84375929, 55863005),List(2677346, 26995362),List(53963640, 62327935),List(61528585, 51110372),List(20899820, 91068555),List(18768810, 56907085),List(79149303, 87049973),List(93680250, 58413758),List(81841555, 44486408),List(90646631, 84280424),List(88962877, 63957451),List(45339295, 71998671),List(36421305, 87419659),List(81742033, 99478279),List(17952712, 38363807),List(38605666, 43865803),List(42371128, 58032192),List(33935719, 46738394),List(84214782, 92809564),List(35683893, 86226331),List(40911055, 56963646),List(99248088, 9221673),List(87262278, 55018431),List(35437762, 78063979),List(31079930, 89147244),List(80887852, 86777252),List(77317781, 74081535),List(83835653, 60169890),List(13398339, 93195081),List(1889651, 42769159),List(20714696, 28831196),List(56819320, 21217966),List(29856031, 46149045),List(97524186, 76039804),List(18154486, 7826252),List(12477166, 28127861),List(41669570, 40919281),List(69125044, 98867242),List(5738606, 10857361),List(39564957, 70259047),List(29990144, 32935001),List(17148407, 39272547),List(65395567, 67618802),List(73617706, 41520899),List(10836844, 68334815),List(32504710, 98750435),List(11823491, 98574543),List(20551758, 79341265),List(14225288, 49447772),List(29870729, 21159396),List(97658950, 6945615),List(84408767, 94747351),List(85651235, 16782120),List(2729161, 88860423),List(14726787, 54806111),List(36834549, 68286735),List(27557341, 37776187),List(62501808, 80602250),List(22147559, 89082086),List(63013614, 8260221),List(32615484, 82013580),List(92042343, 86089070),List(32802515, 84663150),List(25386696, 4953967),List(88750749, 69947246),List(71108001, 63277111),List(89883300, 22328387),List(98538175, 73302403),List(76674115, 45496502),List(13915770, 58324164),List(16236083, 53706472),List(39317769, 6939818),List(1135921, 38109208),List(54305413, 67950162),List(95035180, 21405253),List(63892041, 15712568),List(96993066, 40272928),List(5082961, 86523537),List(12946858, 91215689),List(73792022, 65030776),List(70141921, 99050019),List(79837453, 50169677),List(60901592, 88801313),List(51974708, 47415459),List(71501311, 48359175),List(90983075, 34395579),List(4619225, 85500113),List(19292612, 11215611),List(17559885, 73458087),List(16672841, 3182050),List(84763888, 6832821),List(10495504, 7495087),List(8362203, 34601300),List(66386795, 18621092),List(81863307, 85247481),List(72523446, 35770316),List(3814586, 14866887),List(86532220, 98262810),List(62040783, 9324640),List(11226628, 87291833),List(63906953, 67652442),List(50466580, 52608765),List(20202070, 93842267),List(93850595, 56780260),List(49230413, 31258564),List(73055653, 23578216),List(49086468, 10787287),List(27286717, 14798294),List(95271183, 78015182),List(86559135, 86637289),List(70038337, 29225999),List(36067547, 85975314),List(4149601, 40324120),List(13790507, 49631677),List(28201263, 65807497),List(62689507, 6742943),List(25939116, 10304251),List(79182589, 11788407),List(31782295, 21966506),List(59914629, 52745386),List(82593066, 98713994),List(26460640, 91662662),List(44860185, 44735804),List(82512270, 15468890),List(14576515, 79731742),List(53818660, 17881315),List(82883835, 43656085),List(12299118, 39824099),List(45120339, 48268669),List(10644573, 41530670),List(78286299, 47362102),List(54242321, 86155243),List(12827056, 80351781),List(9787345, 10125199),List(86484332, 78521735),List(61392524, 19665787),List(91352934, 29034480),List(72999812, 43515034),List(68210547, 58671033),List(97777469, 41439347),List(95781081, 76462529),List(28388290, 23956073),List(69955095, 2643251),List(14903076, 46000516),List(68564432, 2396043),List(16806358, 25647722),List(95762322, 7440455),List(75246107, 40393715),List(46852785, 99242051),List(17985605, 51010545),List(71600674, 24596692),List(99673193, 43507947),List(43731870, 54401871),List(84235677, 59877690),List(39182528, 67713932),List(73883164, 38540865),List(56271957, 56598678),List(37994033, 29884863),List(70152623, 38899099),List(62655684, 31473730),List(87229005, 94426935),List(23089433, 11039604),List(51657788, 67412368),List(95636582, 92026296),List(739270, 91421179),List(18277413, 57439054),List(21479973, 56780547),List(14826305, 40929237),List(99030393, 24289625),List(6424084, 43085783),List(84182106, 93146660),List(52908928, 33128971),List(563379, 77150368),List(15910936, 54344833),List(28527145, 71999234),List(58235734, 30045046),List(15368959, 55618838),List(23731401, 15809562),List(84568448, 94358224),List(52310434, 14396170),List(12866270, 85161227),List(8147294, 27100907),List(14644697, 12988308),List(86814886, 56328523),List(96062616, 33000288),List(43492, 42872288),List(1308735, 19582708),List(73226365, 82013458),List(42877398, 47155284),List(61131995, 91573961),List(5368175, 49775244),List(83541579, 95216171),List(25996376, 97299460),List(60472736, 25745035),List(36559715, 135658),List(27034023, 2529021),List(15574043, 9814163),List(95685288, 33877003),List(6488726, 72863127),List(86611787, 61625491),List(72160841, 9591825),List(94241578, 56306536),List(14515557, 11355633),List(79835652, 69567738),List(32347551, 4447834),List(99852356, 45256899),List(3592061, 8733379),List(88285568, 50303272),List(82222435, 47002200),List(49435901, 52385753),List(57197360, 43406064),List(83658077, 81270679),List(43611326, 24173566),List(80890701, 44364474),List(31578042, 32327020),List(84797354, 68790099),List(98844546, 82215607),List(13133143, 28347278),List(47607792, 14586865),List(13203654, 20805928),List(65810052, 41564721),List(27340970, 31292345),List(58577100, 71996387),List(45044340, 33803146),List(51495212, 73659916),List(68337353, 80157551),List(2364858, 61803851),List(60481076, 37711586),List(65755965, 12512426),List(54465368, 45159482),List(35143574, 52675585),List(48284302, 59486475),List(63142528, 78569195),List(49509356, 42040314),List(6321649, 91693418),List(7721387, 63342487),List(39472802, 9281244),List(11771698, 17534850),List(66463702, 30368735),List(83643831, 55619523),List(28779109, 30408485),List(31559581, 25435653),List(30613955, 26970523),List(18043938, 80546540),List(6242657, 61889906),List(30138115, 33774578),List(76842749, 64858786),List(95137497, 58268840),List(11458469, 43364523),List(96346362, 56106812),List(3310966, 36176060),List(58408793, 8978137),List(87582500, 5194245),List(77252815, 94115123),List(88393064, 80908505),List(56671528, 64846875),List(99721155, 47450250),List(83487755, 96040373),List(22344221, 93839515),List(17645683, 94789064),List(19913233, 38798731),List(39806831, 56763109),List(39813349, 48707042),List(23837223, 57295948),List(3708646, 6506097),List(56949719, 68290449),List(87820078, 98916745),List(53730852, 41689466),List(32702683, 12918337),List(53242307, 29599474),List(17813243, 54939219),List(15306800, 5666487),List(88886587, 20633966),List(2533846, 84082836),List(84376846, 35875736),List(53171133, 30583247),List(99705135, 41579921),List(20873868, 32501162),List(89491389, 3426509),List(36881710, 34105808),List(24051547, 23708663),List(42528077, 33628909),List(86470796, 50658109),List(89182704, 52753316),List(42905344, 11917150),List(12050717, 62570244),List(58769996, 89626893),List(61171190, 93897308),List(90560646, 90298438),List(39181739, 35167782),List(38917778, 64218802),List(70756562, 92760405),List(56442860, 17873597),List(59313420, 25661344),List(87037097, 1679844),List(64911803, 60475211),List(84975036, 31631277),List(65435773, 90799470),List(83342578, 96807167),List(12959029, 73511548),List(19200888, 98987396),List(88569214, 75434633),List(28569235, 32181759),List(16307707, 25135731),List(83942488, 86239311),List(73173445, 77058214),List(96843939, 31377924),List(26689784, 26553582),List(20098093, 67883700),List(96344440, 29129955),List(54579673, 58244809),List(54494440, 55950807),List(96752265, 11009651),List(41620028, 19358841),List(52173155, 1745367),List(89371183, 91753858),List(49680068, 33024331),List(68469257, 98333435),List(34965291, 46037156),List(40365298, 51248008),List(76781542, 76741956),List(26734975, 15920882),List(46013256, 50502886),List(25221871, 28315373),List(30167908, 44758601),List(14442997, 73542810),List(70474333, 14904535),List(40221549, 46998659),List(11576994, 24116688),List(53185262, 99483033),List(79358437, 96547013),List(87805862, 76746093),List(51561161, 4743931),List(92179795, 40201588),List(73760106, 81805484),List(99445159, 36338670),List(88319942, 8671090),List(50735806, 74707148),List(45102661, 24790435),List(60381250, 78118086),List(62786196, 48953283),List(28825992, 73784193),List(60431855, 25987743),List(40669724, 19878703),List(48045449, 78377431),List(49737340, 77050116),List(43300084, 14197178),List(93950771, 86166767),List(93432786, 83443784),List(80755705, 52596860),List(94939630, 66906847),List(37778630, 32666275),List(89004093, 4022760),List(44307597, 22866759),List(45993876, 69452608),List(2711909, 27596040),List(6404134, 90605103),List(69381355, 31439189),List(25861247, 552545),List(94146508, 82951885),List(97654699, 53092731),List(35208626, 62504675),List(48536134, 49148543),List(51600681, 90235362),List(61095206, 94204077),List(15067199, 81707747),List(60889752, 81987496),List(75390080, 32340345),List(84205018, 4296274),List(54182908, 91722328),List(33128549, 74994898),List(59201961, 20320438),List(56082240, 84670138),List(17687426, 99238123),List(98370247, 41537952),List(18984659, 42028665),List(74624472, 46807387),List(50015167, 44769733),List(73343540, 88677535),List(82643581, 1966307),List(74082553, 7841354),List(20172989, 8221316),List(50989501, 45821903),List(52136313, 77825862),List(96380673, 33392252),List(22778822, 9319433),List(23476808, 10386787),List(2673447, 22255457),List(16844999, 22623784),List(52488897, 42662464),List(49771971, 50444224),List(39512876, 94888222),List(97479960, 63944813),List(83369207, 31839391),List(99583027, 59926635),List(2220139, 77407660),List(18807584, 38250041),List(95190815, 80862661),List(38839156, 16573560),List(64041933, 5244903),List(17345809, 3764936),List(38225875, 71550987),List(92020728, 69147500),List(36029263, 35918725),List(93125146, 99491290),List(12485007, 90584914),List(4793799, 19089190),List(44674282, 24559383),List(30385073, 27828464),List(39061916, 96886080),List(71182795, 33823968),List(28413592, 77625521),List(87889438, 78210107),List(40678764, 17582870),List(99372635, 74523337),List(96526608, 40134059),List(28057140, 39590543),List(41086258, 9311990),List(14356304, 82782123),List(74966541, 84494058),List(46290743, 26088544),List(76654, 41562935),List(5321745, 87715563),List(17868688, 21101792),List(93372198, 71476327),List(17102831, 98354792),List(91781719, 2000730),List(37101310, 35777661),List(81051758, 50838331),List(3177089, 72918236),List(8858402, 76625407),List(66697096, 7102428),List(62146302, 7870834),List(64053144, 77746635),List(79242343, 60443596),List(38684875, 16438752),List(70898233, 18208934),List(662600, 36600352),List(35735374, 94942225),List(52460428, 10079666),List(10780677, 17189257),List(46557178, 55267936),List(38707762, 15136746),List(68725017, 38426131),List(25167922, 16019017),List(38317760, 38345706),List(28423525, 30266824),List(33285545, 99138860),List(84520564, 41444492),List(31850825, 48295190),List(63717765, 25488278),List(80231292, 94994702),List(30165106, 42576314),List(23810523, 40230323),List(83641086, 38098103),List(66678719, 69231266),List(43065342, 15570081),List(88719574, 79022922),List(14522450, 51550200),List(85293291, 25206392),List(92001645, 48671918),List(39697024, 2938925),List(791648, 91770582),List(83914007, 27327319),List(95677798, 39375375),List(67236332, 44738874),List(3755700, 28940680),List(33938509, 50190361),List(37099120, 76789373),List(97192900, 94194465),List(85338604, 40985190),List(83277693, 28194128),List(19692547, 27049216),List(74838819, 52586896),List(28443307, 16355263),List(28427678, 73676331),List(17553102, 6508156),List(28323499, 88769193),List(15097861, 75598371),List(50977197, 22255418),List(23739206, 35441974),List(66295896, 52210833),List(10193018, 60352954),List(99329374, 41630637),List(22974482, 83330855),List(64171669, 45419480),List(4487169, 21572728),List(13647021, 50134291),List(83451049, 42376452),List(99795434, 41678512),List(75933719, 44428967),List(55462049, 74970254),List(21583950, 40971747),List(21382706, 14486723),List(30347493, 45655997),List(20279165, 85271818),List(55021480, 20394538),List(83417845, 74405409),List(91062784, 90339901),List(36267198, 79747817),List(49333447, 36404246),List(84528187, 28622996),List(52059967, 23259958),List(32776577, 38834493),List(59053287, 8290404),List(69661341, 39890874),List(30266987, 72826333),List(72177312, 64524523),List(7147276, 56422851),List(7505509, 44520039),List(76522951, 25710981),List(79410999, 82215553),List(72102733, 19307368),List(99371884, 25174534),List(98279395, 63568581),List(78100563, 80120863),List(90249861, 19268482),List(54204369, 80176908),List(17434063, 63824953),List(4480075, 56140758),List(6254124, 84947530),List(9769431, 33024217),List(76797988, 10269619),List(68421212, 47010458),List(43751728, 83333963),List(30014592, 25800195),List(33868569, 55847304),List(27740771, 97358788),List(86998487, 32129980),List(18759021, 68250359),List(38385570, 18620353),List(17080727, 63742867),List(33265602, 69641264),List(80410715, 27516212),List(22843842, 51593332),List(33959106, 73757200),List(24726323, 9966201),List(4988848, 85157838),List(78589705, 98598497),List(93925264, 96942082),List(93912612, 71154816),List(45481741, 23877142),List(78503625, 79229254),List(47160510, 21906417),List(39966024, 60086738),List(93523525, 18025839),List(71268333, 79374915),List(84163693, 37168655),List(83269096, 52236990),List(97543871, 27678265),List(16754742, 60479718),List(86809332, 31669938),List(14734194, 64757159),List(77157701, 92612451),List(15349326, 16983825),List(98150703, 77329116),List(18125879, 70533449),List(45661304, 13176522),List(71794295, 69482615),List(60060308, 27730408),List(41328454, 10627463),List(29337129, 86831046),List(44174736, 44969344),List(20804475, 3232586),List(19002052, 56252238),List(26884948, 38288581),List(30356033, 64309860),List(34635944, 89114473),List(54260110, 6269214),List(54963665, 69575204),List(87957883, 16644694),List(75410821, 21652094),List(69204781, 43968249),List(99921771, 73246265),List(47485123, 81291618),List(56786665, 21747587),List(75198281, 46914818),List(74350635, 2110729),List(27734777, 32952663),List(83886023, 67294353),List(76660021, 48602287),List(79624297, 90770322),List(2722871, 93272774),List(51048272, 73238705),List(66165219, 58745904),List(27771142, 62841134),List(96733520, 11779085),List(95771173, 58034233),List(14093014, 44292579),List(91138804, 56170701),List(9189893, 53913554),List(93437964, 23337794),List(58094393, 53537387),List(71628527, 61589953),List(42630450, 60222671),List(71575511, 38521964),List(55918312, 72237178),List(42582554, 57778872),List(45449108, 12842996),List(46455490, 56200899),List(876650, 54228135),List(13267117, 48595645),List(22144283, 94579518),List(15677422, 41717965),List(81991766, 49288010),List(1792366, 91797640),List(44251210, 83965317),List(85304493, 735349),List(55383414, 66092244),List(85972836, 67007695),List(21410800, 44975412),List(5727092, 80604015),List(81588722, 26552332),List(4458675, 29931392),List(72104285, 91416346),List(90339118, 48392208),List(89659435, 28078037),List(13462258, 39660197),List(23164283, 12229462),List(13474450, 78643254),List(91630349, 47814499),List(14509615, 67881726),List(8724799, 42648628),List(23364117, 66023251),List(40133394, 86664958),List(76597735, 75401022),List(23969213, 41403309),List(46744604, 88608335),List(65286080, 66754958),List(66684993, 34258167),List(62105974, 56203207),List(76999649, 58976267),List(32474988, 29094847),List(53272934, 51577556),List(76038115, 92150597),List(69702570, 24237151),List(8259072, 84008424),List(64308850, 50390121),List(33242155, 80175904),List(59004709, 17300864),List(55986816, 9995567),List(54302902, 21901848),List(33313457, 66764974),List(53969380, 54601637),List(96889593, 2809824),List(523586, 27033164),List(45309781, 12071198),List(34430123, 76197329),List(46363548, 63573044),List(34827834, 57632563),List(26454635, 68646864),List(83987890, 99678609),List(21825002, 2927970),List(6699685, 98603001),List(54531568, 94389023),List(55736806, 14954286),List(38034542, 97253032),List(94323226, 28940743),List(75001117, 1009879),List(2847339, 97886762),List(66190357, 10422904),List(92169028, 25194624),List(4271538, 66678172),List(86060101, 69058938),List(27849865, 89960203),List(12737885, 36413334),List(97747525, 20830842),List(76611603, 80990775),List(38051275, 74142617),List(1484204, 37544257),List(45281018, 6911022),List(66383728, 90618367),List(43928308, 82966684),List(96367578, 84233703),List(93831530, 98204964),List(28103581, 6043540),List(12691889, 66329072),List(54364428, 98188004),List(18624793, 85246917),List(60887836, 70165824),List(23955203, 42339748),List(10926852, 13029065),List(69530234, 71864443),List(89227527, 6755136),List(2339004, 54683687),List(41310357, 72591904),List(80865524, 25409976),List(62753645, 50275525),List(21461800, 84302639),List(33979946, 748678),List(5830748, 37260142),List(30023188, 66885003),List(49486992, 54585286),List(34769340, 70088961),List(91273691, 35164653),List(79540616, 76739729),List(44890915, 90814025),List(78686627, 23059201),List(94245928, 18856361),List(18715362, 56903165),List(69506574, 94188264),List(4023226, 74529674),List(1330124, 99045941),List(53263513, 37597639),List(76990576, 33666357),List(46127003, 46621237),List(83731796, 13922446),List(96358271, 27846),List(74726713, 45175958),List(39283702, 32730597),List(21574352, 2216255),List(87770376, 4688662),List(35347576, 26741311),List(2516557, 92296522),List(37686913, 53551194),List(15102586, 13663419),List(74137833, 17210901),List(76538749, 58026962),List(37767993, 25148139),List(59098973, 10641496),List(45537868, 3457455),List(92664932, 10498246),List(20298221, 23338046),List(37154718, 36385912),List(2159888, 29958490),List(616142, 44448474),List(16824922, 37449735),List(67535147, 12568569),List(60138092, 41792094),List(10369090, 75473576),List(87334860, 19741431),List(98442042, 19839123),List(42505712, 62532578),List(418680, 36740570),List(71619587, 42083034),List(31976373, 51379462),List(43052352, 23948262),List(64017151, 17661125),List(53071051, 86237155),List(78533769, 46086962),List(52081108, 31259934),List(34653775, 13218674),List(25389635, 37401454),List(25433750, 82589004),List(72547178, 19428117),List(90448039, 1780927),List(46072068, 18133616),List(66992338, 9127138),List(9785424, 85352360),List(98420228, 45163410),List(60450623, 53517013),List(11178644, 20157301),List(46677055, 30673514),List(97087176, 48223641),List(38167089, 61145022),List(29468785, 18434717),List(45266507, 98276038),List(66865682, 71528958),List(64523990, 62988771),List(60314501, 43623847),List(41286313, 72772954),List(70083772, 82449061),List(62255470, 67473820),List(81711102, 35537716),List(83629027, 6466745),List(2652100, 41760430),List(74172705, 37358822),List(25845604, 1103886),List(68250794, 98497045),List(77578236, 23471719),List(80640608, 82348482),List(71718826, 74478614),List(25118458, 36089914),List(81480958, 342082),List(8956183, 39541921),List(53314487, 75120613),List(60873813, 23428554),List(73922286, 82540948),List(34609368, 44138533),List(86376159, 14862389),List(13837073, 71671939),List(36197262, 85915632),List(34564630, 31722776),List(24101935, 77284452),List(47269797, 79829768),List(29187078, 62344214),List(38412800, 82891894),List(87558317, 3086898),List(24083153, 6066806),List(803381, 6652381),List(89202332, 90554920),List(15601846, 80605029),List(40331099, 93352538),List(98730477, 19555997),List(17197252, 96902779),List(84723199, 58881559),List(62053755, 27850160),List(1054111, 75252830),List(61912100, 91067421),List(90758185, 71521747),List(12258052, 48213573),List(19911428, 98150397),List(20509436, 98866532),List(36302209, 78161671),List(70325811, 5555828),List(63404899, 26311952),List(81871549, 89249213),List(53114590, 39023531),List(38965794, 23121281),List(87320086, 24754003),List(19905048, 31956420),List(49163084, 2829542),List(98944881, 10362585),List(32348145, 96358087),List(50855114, 12974683),List(34202712, 51980817),List(65349112, 42508498),List(11122637, 53385536),List(39078005, 58061843),List(42153777, 49876598),List(46773464, 98810381),List(83954636, 97472550),List(89553651, 3307146),List(39998449, 279205),List(45076123, 64253227),List(65560705, 37417487),List(65577453, 48040874),List(54073405, 38041667),List(63759521, 19353202),List(8575756, 78731136),List(75650374, 74231622),List(66273731, 97760828),List(91970888, 86402903),List(32886719, 45843208),List(43835990, 34854523),List(33708866, 79043277),List(68258490, 35701763),List(1218556, 70567302),List(87029540, 96663023),List(23210194, 48186972),List(38646826, 51490233),List(3486944, 72560378),List(7681559, 76237301),List(77519126, 53590679),List(24173223, 11881189),List(96663165, 28383306),List(76712653, 94156377),List(41371521, 60606002),List(12776203, 64775570),List(88533126, 99447075),List(4464546, 18679791),List(14054863, 65071607),List(95086450, 1518133),List(41227419, 13421022),List(9718167, 4419771),List(14219475, 68785562),List(81167950, 96067207),List(37087051, 97148420),List(60972946, 58488001),List(2917799, 14928903),List(26990685, 35337439),List(55128614, 6880723),List(23997017, 87235160),List(77934302, 93263993),List(17934709, 71108260),List(52849190, 96849651),List(47547427, 11246774),List(31198942, 51427886),List(73171076, 29344955),List(51504721, 58203768),List(42473357, 23542840),List(63015147, 98368860),List(71622198, 82154071),List(62570887, 75076993),List(80305970, 11301131),List(46561264, 57495854),List(36113245, 7326317),List(61105080, 71835504),List(43733794, 43754775),List(72463528, 12776184),List(60791002, 21875908),List(65051909, 4069704),List(55540651, 46142067),List(73452497, 3591130),List(58066891, 829800),List(26194167, 69709089),List(49870198, 55852247),List(167176, 51639181),List(54551181, 84174028),List(79411904, 31888970),List(28611375, 39023487),List(40779877, 6013362),List(97824614, 6251933),List(40384607, 94113480),List(65252794, 39187023),List(49899313, 94964242),List(73687859, 75232573),List(31746935, 1831092),List(9823485, 81696174),List(55830938, 64299297),List(48686353, 11213570),List(16693085, 75807453),List(40397046, 11787895),List(98592854, 50958731),List(12689911, 37643389),List(98546473, 51966669),List(99361351, 67615352),List(14944133, 61430045),List(18015914, 18909476),List(3873083, 67864286),List(85256830, 49554572),List(97859409, 29245644),List(7942973, 10325575),List(37195705, 58755008),List(34927775, 62010872),List(86290145, 13090323),List(7737699, 66043037),List(34932352, 45099832),List(39307934, 95830859),List(68853061, 20977903),List(47766152, 59338330),List(56512893, 99797295),List(68175252, 92229535),List(34459271, 60221218),List(311134, 99076103),List(37685097, 33358475),List(27591189, 18103240),List(15899826, 68983159),List(63782280, 50464989),List(54017816, 2792688),List(32528296, 45488546),List(98295144, 53456338),List(40435550, 66172090),List(85616255, 79129607),List(52187871, 77410535),List(28603773, 7670416),List(29388181, 37623669),List(33319385, 52481092),List(96956018, 93681274),List(55859275, 68874167),List(55110596, 66342730),List(73581598, 39221969),List(29705753, 75920737),List(60171511, 47490118),List(29831513, 26458763),List(56857720, 2890010),List(65000596, 94705391),List(97653007, 53983977),List(58173694, 74605788),List(79234598, 77273580),List(28279675, 40395138),List(37374716, 71760873),List(97749250, 68351856),List(98351880, 56647156),List(97470647, 96964978),List(53735183, 73098979),List(20693019, 260113),List(67119564, 79408477),List(9204578, 62320355),List(42964628, 3347413),List(45891464, 7931691),List(71096249, 11175699),List(47193060, 4348600),List(80859794, 54470304),List(4652822, 47068643),List(38652365, 84410810),List(15877462, 68730749),List(92546491, 22463912),List(38536578, 78235563),List(91020330, 56537186),List(26176885, 90593977),List(70490797, 87134080),List(37728751, 42666453),List(57585424, 53489611),List(13773512, 35089016),List(80878243, 78723656),List(56472976, 89500320),List(43191360, 59990499),List(1834511, 80084375),List(37307916, 93034768),List(66462416, 75944680),List(32155064, 55352047),List(47990420, 3419427),List(47336991, 20318615),List(1401812, 14336591),List(72371583, 18401163),List(17617837, 87159814),List(10784241, 47459446),List(72759026, 68085775),List(59963955, 38026071),List(88306569, 11190250),List(38672240, 35701331),List(43899977, 30185812),List(81205645, 24800906),List(20935173, 59640292),List(11599934, 37767409),List(95723960, 25954427),List(56875504, 61726031),List(50120977, 35199728),List(64161398, 5146202),List(76458437, 25495863),List(19748404, 24377893),List(3447398, 36560230),List(65398397, 95894787),List(8649279, 34526910),List(9683760, 81183682),List(26248649, 98228716),List(60043443, 53332350),List(31805368, 2598139),List(44438874, 16581947),List(40109014, 42948015),List(92524062, 75243048),List(99928378, 82093043),List(27441982, 43886435),List(55040282, 21081792),List(52545346, 92705000),List(11057310, 17823960),List(39532182, 71197962),List(22963720, 62738580),List(12841105, 69746516),List(52129054, 7058494),List(86072567, 26935848),List(24637107, 49215015),List(75093343, 71962069),List(6429158, 95388278),List(41846853, 89855208),List(4393148, 36470388),List(25511236, 27748643),List(12349483, 18428149),List(19736182, 51911752),List(69474423, 1507239),List(24277035, 35057224),List(27190483, 57116063),List(33568842, 69035255),List(12211740, 22149522),List(80088789, 99002162),List(82781721, 53613903),List(41113014, 28076336),List(69496901, 82124934),List(51698038, 65989268),List(68833276, 30636861),List(51728897, 60897168),List(18836178, 91647017),List(37190309, 56830975),List(63982029, 98022738),List(99430809, 89163695),List(61522442, 56030690),List(70241022, 45226812),List(80614802, 42911349),List(36766487, 40228400),List(69810868, 48508842),List(73385592, 20092396),List(8903249, 27707163),List(64142359, 20542062),List(2390096, 57584638),List(96537307, 1163617),List(11775215, 21527698),List(68297019, 84563380),List(65693542, 75084378),List(76272964, 26861071),List(46908931, 23303387),List(55055596, 63310550),List(33448789, 68610814),List(29980306, 12162573),List(90718862, 93293119),List(93778554, 92703553),List(1718851, 80221443),List(65985838, 21568074),List(32616190, 95265312),List(73577744, 2929364),List(46371141, 9061312),List(49949863, 23991742),List(19647908, 85169249),List(44004531, 3373632),List(60759581, 80582667),List(66781882, 32176241),List(61165113, 81927386),List(37855759, 51473341),List(66866828, 61926163),List(61290982, 48554517),List(18266448, 14719383),List(7669511, 23547123),List(44995476, 66356402),List(11856135, 13390777),List(23657631, 55848191),List(83312629, 78910266),List(75821545, 17771728),List(93069433, 18322436),List(60146383, 92016044),List(46365031, 97545290),List(9575701, 92389588),List(14478759, 14224805),List(13937801, 6095647),List(83081408, 35432737),List(1955063, 94274284),List(70502791, 26038201),List(44417546, 19641855),List(2447820, 17932195),List(14328766, 59855334),List(22915018, 8642976),List(38603391, 2884285),List(71768824, 76638728),List(5412813, 5653405),List(44692614, 89337048),List(45808742, 73372551),List(64372591, 84970075),List(76134582, 46757382),List(11359918, 72891479),List(83199145, 87890742),List(99563622, 33710641),List(72777153, 25748731),List(49279379, 91637144),List(82723793, 97447478),List(77564938, 13350518),List(91078954, 60998465),List(22387939, 32643063),List(2941535, 17654617),List(96848076, 973839),List(22493619, 35947437),List(38217172, 6689704),List(12549777, 63097003),List(72848635, 7719620),List(93332764, 48816310),List(25819334, 90706504),List(92201095, 33518729),List(15280045, 6301353),List(73136729, 59748208),List(74922076, 5298662),List(61489005, 45007912),List(87117537, 40860259),List(6438283, 45114345),List(26404452, 45060170),List(79235863, 93038783),List(47255835, 95469887),List(33849137, 13791857),List(35554884, 50940009),List(96866376, 29506643),List(13784620, 49115883),List(6680094, 32936496),List(85512362, 49252035),List(87541014, 77280026),List(43859412, 62206742),List(91172399, 26019830),List(8583026, 79158033),List(53225414, 13742466),List(24382981, 89152245),List(65683565, 72995941),List(60767869, 16746883),List(56100925, 53175632),List(49160001, 38680592),List(88936798, 2309579),List(19455303, 99794603),List(67981715, 78852979),List(45601304, 60922728),List(34376633, 27181481),List(89293702, 77768846),List(17915241, 76813485),List(12723980, 89839975),List(17379200, 58411258),List(72217547, 89142864),List(19799635, 25195715),List(44806801, 91736736),List(67823035, 86416256),List(83487078, 6723038),List(35578431, 13735045),List(49955055, 10476223),List(36337903, 3191366),List(13218626, 5468588),List(56161376, 80421066),List(61908077, 76923512),List(90739005, 76326709),List(39356439, 7864173),List(96709479, 62284835),List(64046519, 42171222),List(19914933, 53684327),List(89067159, 51122054),List(98049137, 88143076),List(96273889, 44726504),List(49116200, 66551422),List(36635041, 17678506),List(12191783, 23160600),List(96172491, 60247760),List(88290212, 8580045),List(8205425, 61792691),List(66088970, 94312255),List(95838716, 96286110),List(65257589, 26927645),List(75072383, 75791252),List(92100076, 4067257),List(45675184, 43903658),List(56936173, 80544442),List(79253743, 8086861),List(40563886, 35188718),List(93797191, 66394030),List(73031209, 81363147),List(54770159, 91270232),List(40491024, 94604978),List(19633049, 37287744),List(82803699, 91019595),List(51766912, 6348094),List(20224832, 51575988),List(59117752, 50148382),List(7161094, 71185929),List(91125864, 94755107),List(12626566, 92635109),List(99835463, 61299053),List(35800440, 73949265),List(35383290, 67223839),List(27369325, 7147444),List(36340863, 13573949),List(6919253, 17915834),List(10031516, 20292288),List(53589132, 43070977),List(81644335, 54985628),List(28864536, 71955541),List(22447941, 92340732),List(48418811, 11540871),List(25072072, 62531327),List(52129729, 53079111),List(35131554, 32670279),List(80712981, 58383876),List(64593227, 88820495),List(1370258, 94362741),List(30927198, 17747039),List(50699604, 13010043),List(10269287, 45427370),List(46255994, 58173567),List(56078011, 71101048),List(84789292, 77194757),List(17919198, 66115842),List(61238927, 48193787),List(87694914, 3851925),List(58480357, 97362105),List(83168223, 54071613),List(74163037, 96637085),List(36964266, 96454800),List(93216431, 63272614),List(33739183, 55767713),List(77567268, 66968890),List(1387413, 34444977),List(46902702, 35702962),List(56629468, 98109769),List(57366052, 3826991),List(765789, 46407403),List(31867864, 66734682),List(10195052, 82215402),List(46962741, 7667221),List(94355243, 70653949),List(83131344, 78378861),List(40011928, 92743892),List(75635379, 9542904),List(38418147, 97568335),List(81834145, 44833421),List(65795707, 66538759),List(95900343, 34196370),List(27865224, 79864710),List(49081078, 68485157),List(35100156, 76320065),List(82413558, 57176218),List(61741602, 13801711),List(38491898, 17500821),List(17266130, 27736512),List(14022882, 84427034),List(76021915, 32259553),List(71032486, 42030793),List(27656989, 67064457),List(79329905, 9778283),List(55097221, 39725149),List(85854544, 94532142),List(93247519, 80393600),List(11076162, 67472731),List(56062015, 52248332),List(37558891, 97636321),List(74206314, 56468267),List(1638995, 14396984),List(51466525, 72412302),List(7451581, 86839416),List(97151765, 37623),List(16546321, 23715092),List(20880976, 56810126),List(19685509, 93697791),List(31488177, 83477940),List(91445275, 45996046),List(78312716, 69353875),List(86309475, 49450812),List(36283306, 20212406),List(77858939, 92711916),List(3868575, 8128038),List(40122974, 68636039),List(48214130, 4325687),List(20474550, 92833795),List(95987691, 91759376),List(91612875, 21721761),List(76479077, 55631369),List(37317344, 39106960),List(21124828, 62369283),List(26866080, 963321),List(10952998, 15329368),List(70334036, 17074224),List(29651226, 2101136),List(72225297, 26335307),List(48857857, 10390949),List(55210460, 71215713),List(8016558, 94277938),List(74330547, 35526309),List(61623595, 61759703),List(92604142, 75387266),List(11793598, 33141407),List(86411731, 10682240),List(26963295, 42199325),List(91202839, 5345313),List(56566503, 85320123),List(9082543, 12806863),List(70634360, 1584154),List(27857801, 61615048),List(24414380, 30591337),List(51736485, 88558504),List(78902514, 82528127),List(50499269, 50957695),List(22676642, 88780612),List(38428850, 90409829),List(87212344, 16155067),List(5780736, 63776514),List(82868133, 81728055),List(87497673, 61440021),List(78930612, 53697930),List(47069353, 6110601),List(5378641, 84871209),List(28746535, 67716546),List(84091916, 98305331),List(35630306, 76245031),List(33783285, 62041594),List(63405050, 39246529),List(31886516, 98813760),List(8497699, 87946193),List(71764123, 87108447),List(67554370, 41368984),List(3537184, 4692877),List(40291711, 8757928),List(66990675, 62568486),List(22544811, 44294165),List(1739187, 62827943),List(37041777, 15470425),List(86693821, 54947033),List(59268515, 35325442),List(37720585, 21991829),List(70485026, 49966984),List(56024875, 99695617),List(20635166, 52200441),List(53845979, 46613552),List(27610229, 95614150),List(10484628, 90457080),List(30420411, 69942475),List(25764963, 60035329),List(77522774, 21135214),List(66317168, 64432536),List(85086518, 57024440),List(43816430, 12154021),List(75612255, 78250504),List(99306189, 45322600),List(90475647, 53647122),List(56232186, 15957059),List(22157436, 78362704),List(82601225, 8671956),List(6226820, 15734885),List(41808114, 872677),List(75012852, 85493934),List(63437253, 36884934),List(94099292, 7903260),List(44079124, 748487),List(12660224, 20768221),List(37748062, 19767781),List(547321, 58049070),List(93203836, 73774839),List(62823502, 94822329),List(52335622, 43799956),List(99759477, 70035653),List(88855666, 49628875),List(27515764, 10385891),List(88945257, 67423488),List(51788403, 55077687),List(70157896, 22067059),List(11973113, 66395485),List(42228724, 28296189),List(11709631, 62555004),List(33159897, 12529878),List(26766998, 3990010),List(21567804, 6357089),List(81222412, 75979220),List(33800929, 86119374),List(44663235, 31215563),List(1742851, 88132844),List(76760449, 75994118),List(10645645, 54245516),List(19541582, 25975668),List(72147887, 89042868),List(40840815, 61968292),List(50904613, 73567551),List(13274043, 66811063),List(38887731, 55701348),List(53090464, 31227419),List(26367750, 61043969),List(47054617, 52033191),List(33103985, 15342164),List(99656453, 17163610),List(289698, 9982135),List(72249250, 83557327),List(99706348, 5075347),List(8074743, 31640274),List(33715413, 98336856),List(24585949, 61093865),List(8922268, 73175368),List(33006676, 74652295),List(11172229, 34165947),List(49103651, 27461615),List(55363992, 15534399),List(89742730, 22689698),List(31880825, 20869682),List(14692696, 63169906),List(56676670, 76592788),List(78935701, 46814382),List(99139805, 30622332),List(287140, 8267802),List(88491751, 79621445),List(17586311, 76282296),List(67397304, 98336878),List(76380784, 72525308),List(5256569, 12407757),List(49914788, 25192525),List(97966242, 20736760),List(42659201, 62239961),List(67281495, 73304178),List(83662555, 81452816),List(39963389, 92084590),List(20080177, 51122779),List(72823364, 32090228),List(6874404, 69242090),List(48269198, 77657262),List(29248091, 62454221),List(74987219, 13478621),List(78902771, 87752431),List(61955526, 44069774),List(17091246, 46411383),List(75022700, 26721527),List(22803620, 79628531),List(99454671, 4114287),List(95785588, 869008),List(20148685, 44014550),List(50831623, 27181490),List(37765399, 77054533),List(22772130, 95737873),List(71294722, 84336597),List(1597874, 42971334),List(33979651, 32350236),List(50212024, 82828332),List(86274640, 61169180),List(91357266, 58849777),List(18963895, 76049048),List(75674932, 42125417),List(93376926, 93410880),List(53962729, 14129338),List(30935303, 77527244),List(90285922, 68696425),List(91604801, 50046896),List(3239052, 14372906),List(15916531, 87009097),List(87519424, 45049842),List(6706443, 97002585),List(9112331, 7206148),List(83460672, 14426719),List(81621042, 59498524),List(41197252, 29372859),List(45964651, 58043538),List(68441529, 44217903),List(57779853, 22856987),List(91555445, 34237796),List(46450999, 35009423),List(41707655, 54285380),List(36715247, 68037433),List(80007788, 49190552),List(55182396, 81732598),List(374698, 24435423),List(30872339, 32690521),List(63116191, 7401599),List(23949439, 49107723),List(83733563, 31570509),List(93214911, 17882036),List(63844877, 30595365),List(67255649, 79052644),List(29251244, 95680745),List(84019665, 32781134),List(51433984, 40612120),List(60423792, 46812383),List(54637605, 54827128),List(78905311, 72334013),List(5766885, 15995166),List(96119636, 64050863),List(88686931, 11882101),List(74979492, 18772043),List(95317913, 40771766),List(2818127, 17232230),List(52508597, 9937047),List(15555953, 81405241),List(90184584, 36487122),List(90604465, 73219595),List(70505373, 76795241),List(19281096, 58892413),List(5001440, 99996723),List(91933978, 9185461),List(41572201, 11752685),List(5650787, 7908771),List(36605943, 46052297),List(86744989, 75602704),List(9876740, 42125974),List(96367264, 48607817),List(21361012, 41558654),List(84319212, 23033844),List(99974312, 34114037),List(22796247, 99824681),List(97639926, 16653598),List(27962225, 5123492),List(3581594, 10417700),List(80105626, 17647093),List(85155275, 99002429),List(36055334, 42764204),List(46241821, 9276958),List(21052176, 50659479),List(53803863, 66529569),List(66005215, 27582718),List(38943223, 30114867),List(62373056, 4181138),List(46407334, 13941012),List(98266163, 60904735),List(33207605, 82055359),List(64782257, 67068376),List(66972758, 10366986),List(57846283, 69022546),List(61183303, 28974771),List(39119189, 73062658),List(90686223, 91853870),List(5803979, 71767250),List(92120181, 75856017),List(42524324, 96935682),List(62192300, 82343015),List(62861906, 55634120),List(9340136, 28400302),List(24342875, 56204954),List(16016553, 6112061),List(71032217, 92407152),List(25719800, 23608830),List(87282025, 44270676),List(75161816, 53600777),List(98738442, 32595729),List(77355082, 15620010),List(99417398, 24315202),List(43031357, 33896964),List(96841931, 86812739),List(73558456, 60616814),List(36370443, 62731290),List(43091636, 61306315),List(35643420, 68957673),List(74527766, 79354242),List(66380434, 11277751),List(5806487, 37996608),List(60091467, 13501544),List(24679922, 30568422),List(38900132, 28867152),List(99718570, 20798961),List(14979397, 20030721),List(87332076, 80201582),List(96131870, 14944894),List(76338265, 76533171),List(98008573, 94417674),List(71945062, 17557200),List(83937324, 14499154),List(41869301, 11357436),List(72097888, 20768010),List(10942856, 15690142),List(66250695, 84886130),List(59361593, 19347208),List(45720388, 95532569),List(12887835, 64009258),List(86000285, 876194),List(19780793, 97304330),List(4771118, 7746122),List(37082291, 93400934),List(89135225, 84296431),List(67616656, 4397980),List(5025203, 15737725),List(21568595, 29587048),List(2449094, 47676058),List(72755295, 86816799),List(96348887, 22737310),List(55839712, 55527390),List(86368676, 99624933),List(92345539, 62356213),List(75540452, 31648339),List(16105785, 39880076),List(72161357, 48824378),List(82279286, 95802713),List(17869738, 80371014),List(33560295, 96587168),List(57890706, 17339580),List(43591172, 46734572),List(56874097, 24373697),List(28570479, 4731451),List(89312341, 59331355),List(42939353, 35497326),List(38034892, 76357682),List(87388633, 14058402),List(25283316, 94400332),List(24984197, 88755322),List(97592099, 43163243),List(59057032, 73897386),List(11478753, 5891114),List(22130342, 97811011),List(2029532, 36863649),List(25464235, 39540063),List(29720247, 28725311),List(33838354, 7765775),List(8286882, 77388142),List(65306023, 38592167),List(28452782, 76389714),List(63287950, 51924038),List(33257699, 26355778),List(27365480, 20744121),List(47050547, 82746924),List(93667807, 24154987),List(7408512, 99766709),List(65644464, 20225231),List(3529730, 29549535),List(33582459, 39514390),List(77100694, 38280363),List(41719304, 92186929),List(57334506, 36172491),List(35831559, 19450517),List(49774058, 87205205),List(77375473, 54830340),List(53179708, 68630387),List(46476059, 20923297),List(68071532, 55534139),List(2819851, 15254568),List(93975763, 75054437),List(27059398, 5070907),List(55737660, 1890831),List(42009974, 70378347),List(88373492, 70786442),List(51601636, 790812),List(89574070, 79956614),List(23726874, 43005279),List(55612177, 80704962),List(55311674, 54808349),List(46150805, 31586564),List(74651632, 23280254),List(63432528, 27328970),List(54057467, 76441810),List(63181486, 91314518),List(98558396, 31774131),List(48415583, 18712177),List(64030083, 52646045),List(50057020, 7286985),List(18716860, 53034770),List(54307233, 28753495),List(34796255, 35022636),List(26106312, 48425991),List(45936694, 56792020),List(22536963, 49219108),List(11705424, 49453993),List(83486969, 37674068),List(56120938, 70713074),List(50171098, 1243321),List(56148457, 41820032),List(79588791, 32692934),List(93638438, 6294420),List(98091161, 56583340),List(54994090, 58955532),List(60813781, 24783256),List(32655339, 86136752),List(11453715, 77727634),List(20503521, 11912108),List(79762139, 9450492),List(61573978, 171007),List(90987624, 56147132),List(89567868, 49795897),List(34333160, 28838863),List(86971187, 6584915),List(96251465, 39637363),List(53312084, 54633205),List(46247523, 48149792),List(15418030, 30414300),List(6347742, 48581128),List(48049039, 10852858),List(93844270, 3786222),List(44736775, 82539921),List(87022997, 40894306),List(99645875, 51555816),List(47491536, 86914427),List(89080503, 42787132),List(80236541, 51652358),List(90627380, 65100411),List(57012653, 82041656),List(96974226, 39631180),List(52744878, 76782910),List(19979058, 22306963),List(57918297, 36549558),List(85592798, 50411064),List(36012065, 97728123),List(68259972, 51252894),List(12304557, 14134795),List(38397949, 5283772),List(33134531, 20932862),List(84440292, 53117476),List(40111795, 36949921),List(43607117, 85699090),List(12585434, 96928582),List(83248558, 48577692),List(38344534, 29566542),List(86440665, 10369545),List(49079877, 98421518),List(19844296, 20645252),List(80957131, 36990644),List(70216523, 55294639),List(84374362, 90272196),List(45642039, 11979311),List(77686432, 98296254),List(9224697, 7669951),List(72337677, 20640364),List(65710293, 90379141),List(11433771, 78831928),List(3917674, 86593672),List(22552855, 98460788),List(92814091, 42047145),List(9929563, 17472578),List(75159401, 52923321),List(53687867, 58047531),List(64097369, 46686397),List(81967912, 53924838),List(60273064, 92419637),List(9078469, 31788836),List(1213165, 83856546),List(50620647, 55764198),List(70033528, 80295859),List(65543195, 55688207),List(76903227, 52104289),List(87350182, 51935906),List(89016887, 51225413),List(44850861, 93642590),List(21959643, 67707123),List(15950071, 4094425),List(15574873, 95354102),List(58007645, 4499315),List(81182240, 96420497),List(24830922, 37679198),List(17050393, 69172820),List(1392047, 53975342),List(26041494, 16230361),List(683606, 85480534),List(94506735, 38896559),List(34185902, 48179029),List(31562507, 2505878),List(55838728, 20750779),List(2601316, 44583461),List(93914463, 98493226),List(28135591, 30491808),List(22491942, 821713),List(30069786, 19810122),List(56596784, 69688049),List(86265352, 40149366),List(92540043, 89572895),List(60923457, 6445394),List(74379737, 14602961),List(43696254, 5910439),List(2328304, 82538368),List(21435324, 2194250),List(76402708, 60357547),List(11178813, 54727097),List(17431546, 89550746),List(21359684, 55721725),List(70393931, 2863785),List(5129334, 91948088),List(83534203, 54201461),List(96866697, 29867286),List(39237948, 83633057),List(11508028, 26666884),List(8885740, 49106141),List(4691384, 58236837),List(64733714, 7146767),List(28097065, 17121930),List(93339523, 21406100),List(61235363, 8718133),List(76609790, 62673667),List(93113073, 95843315),List(40922659, 5666923),List(91241135, 82366455),List(55903206, 20503648),List(97210691, 46114392),List(87230957, 85009748),List(29466075, 84113746),List(15166440, 13259727),List(81501254, 62764155),List(23366642, 23745907),List(89809659, 63372064),List(21371691, 82495172),List(40326560, 62935257),List(73873264, 62109114),List(67872566, 82631807),List(73609864, 72034364),List(74002974, 62310335),List(7113941, 85026848),List(12962049, 20764259),List(97531424, 41939367),List(53386081, 60900677),List(87268734, 92554331),List(38958720, 27802325),List(4907950, 12240760),List(79457612, 67444631),List(42157417, 13313396),List(33996611, 55299520),List(63048283, 45302647),List(43344443, 85261182),List(81455663, 27226815),List(85906046, 82073384),List(59171956, 45486786),List(38019562, 45815101),List(31350522, 13897074),List(72096454, 29283057),List(13815328, 96698384),List(45788813, 38012621),List(51055095, 26631753),List(31483962, 36599507),List(27253815, 90757268),List(86661668, 82892158),List(39541786, 40732944),List(52780665, 87875213),List(74088836, 94644791),List(44343898, 575600),List(84463877, 86310398),List(40395581, 56968111),List(51449537, 66860450),List(45868679, 57884465),List(85162021, 12499666),List(8255880, 39365634),List(73712780, 68356838),List(55581500, 6925007),List(52409421, 3393986),List(88440662, 23746844),List(92924327, 41834146),List(35434653, 24847329),List(1639377, 28264335),List(62513708, 55670314),List(69658057, 8411259),List(13022385, 45000202),List(8126255, 51905112),List(55380660, 93095566),List(9428610, 40890414),List(37702938, 454462),List(72726845, 81776445),List(68232441, 32942838),List(38706811, 35448134),List(22789580, 71563136),List(17299312, 43773811),List(6579752, 69587085),List(40900106, 98356260),List(63224607, 67039114),List(36703550, 77352145),List(81071053, 49931230),List(4065500, 46318316),List(16507805, 75532928),List(28738795, 70255005),List(78167426, 28344545),List(98385331, 48062320),List(66037921, 59681445),List(40769580, 57035720),List(89594949, 43277376),List(24660786, 14424217),List(16200761, 90856380),List(59328932, 56598040),List(27414960, 82057874),List(46787842, 10898358),List(12541180, 18881020),List(54887881, 97204144),List(83691541, 37944432),List(1583959, 31178739),List(28112033, 27323214),List(56519148, 4900040),List(38500445, 90565318),List(62733803, 40145908),List(75207148, 73435197),List(49054415, 36006420),List(29177973, 16370498),List(2543924, 85601417),List(67473403, 33822507),List(43052665, 8707073),List(92380594, 56031677),List(25313193, 13740199),List(21532058, 45906656),List(45753619, 35110190),List(58137929, 16165982),List(28046, 89571073),List(77277476, 34823087),List(88461797, 34623976),List(65856857, 66008127),List(46578649, 48569703),List(78372110, 39266159),List(94636496, 3617023),List(93235768, 68877931),List(28035510, 90190550),List(89195051, 26994732),List(40581935, 52469444),List(93445407, 8540477),List(99180625, 60810996),List(3030868, 57549558),List(52661386, 88242827),List(61236347, 96651953),List(53307212, 53539291),List(91904179, 89421190),List(12435306, 51239342),List(67554603, 93401584),List(13341859, 76219270),List(54400830, 90204980),List(89404114, 15600080),List(93042223, 56288026),List(15218402, 24310678),List(31669032, 75284054),List(91036592, 88673860),List(52004004, 98699881),List(36894596, 36610879),List(61887967, 63320514),List(62599763, 35711403),List(46115659, 30477597),List(84497636, 61576880),List(2900037, 23642004),List(17112940, 30748504),List(72712617, 23509919),List(93426002, 96333154),List(44959914, 77352369),List(83010473, 28261299),List(3391378, 25752082),List(91190694, 14484010),List(74204574, 35983144),List(96829018, 89323573),List(25367099, 80518317),List(526379, 8172102),List(30695253, 71101807),List(66822899, 35041477),List(91687288, 97474805),List(75503739, 41957028),List(82867422, 1262240),List(63474081, 86364537),List(47268660, 70412135),List(96042109, 6401068),List(62345932, 10157608),List(22214211, 14859354),List(59103271, 71263131),List(78264733, 74569256),List(40196600, 26982222),List(44542782, 4019049),List(19060243, 37873608),List(10939521, 248775),List(2454477, 90661133),List(82800906, 18071327),List(463081, 84412965),List(16424935, 58994840),List(51691200, 2474630),List(69918477, 91810197),List(62330756, 69870671),List(44576042, 76165025),List(7824951, 81425794),List(78005534, 94506623),List(40574213, 38567336),List(79412745, 55975522),List(63406150, 68855888),List(46329714, 66027977),List(10461624, 21399509),List(22378100, 16887077),List(49169589, 9869672),List(54029589, 83979548),List(5456988, 15609257),List(41853885, 43149067),List(52520423, 92894459),List(48861594, 47819760),List(68636294, 93208534),List(78832950, 91444769),List(40319756, 91213809),List(5459074, 60633592),List(6339052, 10809663),List(49348431, 28558284),List(80291429, 56215133),List(59191671, 45637693),List(54080782, 28030403),List(50966344, 33034766),List(49165934, 28445889),List(38465650, 32938224),List(56661942, 25550742),List(42160543, 25764000),List(3636131, 17874025),List(13573539, 83190146),List(91126975, 16392573),List(96020768, 67229942),List(94145957, 25644142),List(16934907, 98685093),List(12973040, 27982546),List(81320677, 3351508),List(30615642, 12896155),List(4631085, 5776071),List(77396885, 67384510),List(91732348, 74773358),List(18323321, 42548093),List(99992099, 46969385),List(27488752, 13770130),List(44973939, 49922350),List(55559362, 70466955),List(87551800, 30628575),List(86667670, 41132997),List(44245172, 17918337),List(72432899, 11411545),List(95806667, 19360245),List(27873675, 37521422),List(71029703, 32765413),List(48383188, 43751012),List(13162416, 51278942),List(4417512, 53634255),List(4979736, 88631162),List(83538978, 76163574),List(14997228, 58404336),List(14781241, 97491147),List(59269638, 62180170),List(21881356, 71861203),List(90022400, 54717217),List(25583070, 42937470),List(39125705, 62404117),List(53141740, 7025830),List(7641564, 73796933),List(4496083, 63473988),List(49178956, 64730642),List(23180914, 63083459),List(31672029, 44235701),List(57406729, 78692483),List(15294767, 19503424),List(82053438, 18828456),List(96570175, 40582754),List(56190370, 98328480),List(52677378, 76720217),List(8109958, 81883232),List(48952115, 97072526),List(82886679, 27068401),List(66249290, 24924957),List(7288553, 85534454),List(34975422, 12297432),List(3605027, 97266722),List(6157395, 86485928),List(73780515, 42753437),List(52884886, 45952465),List(53505338, 38154795),List(92611147, 37414559),List(15422240, 49320039),List(9404858, 58908024),List(73281831, 7313388),List(71460785, 46593924),List(71197018, 95419945),List(93667340, 59972759),List(66845363, 83179022),List(14419729, 56286570),List(28922390, 25079997),List(23078778, 68064820),List(33975241, 76042744),List(42852126, 8710324),List(39568837, 2172988),List(83218940, 91247113),List(16540554, 84658404),List(38875451, 60517190),List(34829786, 21337564),List(41740039, 4047455),List(91850167, 57846213),List(56028316, 75635708),List(91755180, 68044400),List(16944050, 73341057),List(51173104, 59299906),List(7833252, 44707130),List(30963726, 58538881),List(20373242, 51242128),List(39964466, 38169931),List(36249762, 23093514),List(62252193, 26328155),List(73111345, 92642082),List(49417393, 92280361),List(55809260, 26347567),List(50607175, 16208117),List(77298349, 67774104),List(3838319, 81871383),List(37864679, 42151232),List(82646770, 69304604),List(8443560, 99605895),List(87119865, 94328736),List(60443259, 55035219),List(57597431, 60713592),List(84482263, 13066747),List(635264, 8951447),List(20050526, 48701518),List(53796996, 45345881),List(94159630, 81214815),List(79445963, 26955298),List(24606439, 59885399),List(83490725, 79726538),List(79836856, 21883970),List(15854166, 52444204),List(75977659, 20767607),List(60196482, 23751266),List(18465065, 65158303),List(7852193, 74659522),List(10688321, 16536110),List(25841498, 43003276),List(86795477, 26888905),List(90269908, 37457366),List(78801866, 71453146),List(94764266, 77103415),List(42018834, 7364648),List(52271247, 88435175),List(99584021, 47815335),List(35706277, 73857598),List(12054520, 63293214),List(21840991, 67376142),List(31785092, 73648468),List(93955563, 42158942),List(96050897, 70271252),List(95173793, 39779133),List(30439341, 97420992),List(76586568, 23531011),List(6275269, 87809280),List(43949429, 89232201),List(6544568, 13322217),List(72556861, 33203930),List(68409825, 53948519),List(97233397, 23627908),List(9201490, 34839524),List(48762285, 45604210),List(27347935, 20182384),List(97289897, 83829295),List(18301886, 39533693),List(36284965, 41291749),List(63841144, 5175803),List(56198897, 14273829),List(34680364, 46782288),List(87915710, 99695404),List(47535312, 93631605),List(45645435, 86589719),List(9367360, 16726579),List(56814392, 32919440),List(10478133, 20055860),List(50675131, 9967156),List(24258132, 67284829),List(96201968, 63474799),List(23659118, 30822905),List(41199541, 83949895),List(13312519, 75597091),List(31869833, 94317860),List(36241049, 75730095),List(80218684, 95356722),List(4118709, 75788057),List(7863691, 41572132),List(22246368, 30036694),List(82386442, 25502221),List(70529918, 81252043),List(1333828, 79306977),List(91172375, 17636928),List(20436850, 53798671),List(18678004, 91722357),List(96319435, 18157174),List(20636641, 9527217),List(78646686, 43084553),List(38949207, 74513345),List(80524383, 22516324),List(27128510, 94837262),List(10668561, 44651789),List(47327973, 68934619),List(23881534, 80077623),List(36555402, 8435836),List(88966921, 36864704),List(26047389, 25193508),List(43202593, 41384079),List(860592, 61546959),List(77994568, 74460325),List(56216713, 15991893),List(9945205, 80961316),List(12746972, 89755961),List(36990919, 6128863),List(44474198, 61067658),List(41757974, 6041466),List(46421587, 94149642),List(86443144, 72456952),List(36662613, 98925265),List(5659677, 31570554),List(87758347, 54188049),List(66251931, 61134776),List(8596796, 77222996),List(41344848, 12995952),List(219541, 97664533),List(64534861, 66522934),List(74485777, 4748069),List(2147719, 66301841),List(73656128, 72933848),List(8291475, 36483512),List(20072330, 7953572),List(97941275, 43774376),List(92657252, 67931805),List(25034564, 96302886),List(39041570, 79080774),List(10521975, 86241590),List(91982551, 34841359),List(88607711, 59389084),List(95636727, 38949821),List(42158966, 31107475),List(12946404, 52693566),List(68304866, 76802133),List(98014128, 67295058),List(84275275, 84505800),List(37047171, 56688499),List(10171542, 70416229),List(57534429, 42749806),List(29602226, 45121141),List(57173367, 29634655),List(44722969, 99280151),List(19619114, 50496080),List(69614724, 96189872),List(17873674, 95453130),List(68412234, 50473261),List(35982957, 25179696),List(93416858, 70111768),List(29978923, 35766921),List(93077747, 79288982),List(93814636, 51289714),List(43661884, 98317969),List(32651622, 79218018),List(63705777, 96611139),List(63381226, 32332550),List(85081975, 2651373),List(44954788, 77349387),List(18073516, 98267375),List(66097999, 7042060),List(97665441, 45965166),List(91621412, 14562031),List(92857719, 82113516),List(78379795, 58305189),List(97101999, 36997844),List(73773835, 72118278),List(31755309, 64752395),List(77602518, 73347295),List(67532151, 42648623),List(95429008, 25654954),List(8450055, 69856971),List(83036451, 28884700),List(20767580, 83085648),List(45034000, 44655033),List(74904901, 11273809),List(38898917, 4048223),List(92893704, 47329867),List(22621267, 35578140),List(67451064, 64135726),List(32232838, 50392656),List(29590447, 6477306),List(1645505, 41244278),List(46101057, 48702204),List(71545810, 14724731),List(53175644, 65019931),List(34792796, 43350575),List(54771150, 1059291),List(68501460, 2662881),List(29214912, 28353010),List(52466341, 59521170),List(82363443, 31457061),List(78855635, 11474740),List(80604021, 7388621),List(32881317, 83039332),List(73170188, 59634822),List(64985781, 46958861),List(65851093, 49254423),List(95274861, 17280687),List(73123276, 23141226),List(87583158, 72268108),List(48171408, 77099925),List(56506647, 73893700),List(16780886, 32392356),List(25551446, 63877093),List(64103840, 37841962),List(81992882, 58526612),List(31629009, 84002273),List(22384771, 93554056),List(69692418, 88488377),List(71674405, 11126997),List(64761201, 94203220),List(14702530, 99873452),List(50701436, 57362742),List(72825659, 54708446),List(7442442, 91389826),List(66519237, 43576740),List(15647774, 66944003),List(42682572, 60621094),List(31327783, 16289872),List(20037304, 24939503),List(60981929, 11620410),List(82190209, 50113645),List(51074862, 94880340),List(31275740, 10799207),List(99346717, 19806297),List(97179798, 60451606),List(90554049, 32638285),List(63802401, 25551489),List(35816640, 93852078),List(74297767, 51253087),List(59721314, 37833618),List(58428462, 57170902),List(43394964, 5793791),List(92152708, 95618375),List(70789179, 93496722),List(68954271, 47396113),List(18956812, 47414163),List(76544013, 59801809),List(98596645, 21858386),List(30768443, 63551385),List(81965634, 30590726),List(94706213, 26620460),List(36833039, 25898599),List(27047017, 76668675),List(52838546, 51761825),List(96354500, 62259399),List(20840655, 62759251),List(52116080, 12604005),List(98275595, 40309994),List(82569661, 88756137),List(7467715, 92464527),List(45311656, 10915795),List(2136340, 67688242),List(39793069, 13470600),List(2877104, 21376186),List(11707928, 62217931),List(26794196, 68965508),List(4396762, 23113898),List(51545620, 69206426),List(58611921, 58308717),List(57056131, 71366029),List(32766570, 5524712),List(77108010, 52611888),List(41768231, 38102754),List(47403216, 64434314),List(14284174, 63223590),List(19133778, 4916886),List(622670, 71460143),List(43491184, 11777749),List(54715408, 64476849),List(91953019, 77493393),List(93559638, 52322773),List(28157501, 19614392),List(98497399, 31201181),List(45993901, 1414079),List(60762173, 45484198),List(68379587, 76888763),List(83659539, 48538876),List(3499199, 757429),List(10409112, 31056058),List(40036385, 76371951),List(97695182, 21886802),List(26401900, 12396718),List(39961612, 90731806),List(55782485, 58596072),List(5716183, 40694577),List(39673445, 74598638),List(23623146, 7892790),List(63117950, 48181083),List(60526587, 72501048),List(7808670, 8461092),List(13018304, 66901085),List(23180058, 59590443),List(79926342, 54678164),List(94971856, 78618400),List(38693999, 77859592),List(7207018, 60446084),List(64859244, 59090243),List(13698642, 22991272),List(36834520, 95968303),List(20382162, 10316574),List(11714595, 49388154),List(12333410, 88201629),List(649713, 13837526),List(46248650, 31971202),List(33539657, 93213268),List(22765206, 26345165),List(47950409, 57344552),List(42181337, 31512172),List(84368685, 42884984),List(44603132, 32122565),List(32381341, 42757993),List(71117992, 22301443),List(65234382, 87358478),List(91992674, 87703708),List(69361287, 58655518),List(8753811, 60465417),List(54417560, 66176001),List(78113203, 4928638),List(59937780, 84028471),List(59962601, 80633266),List(61558334, 95974919),List(59496476, 19407118),List(49771975, 27314266),List(28272001, 90098983),List(30886060, 37194985),List(50363776, 7264643),List(55738449, 87953055),List(57078986, 18444662),List(83731145, 5241201),List(36475501, 76079475),List(58320195, 50045204),List(73791934, 34829533),List(12513893, 48953395),List(39084223, 62470309),List(45675888, 47668860),List(20082349, 6896968),List(58451777, 36838618),List(45932576, 9043369),List(11851921, 32082982),List(85743031, 21221007),List(45422605, 22522422),List(72888410, 63439305),List(22254283, 18153733),List(97555420, 86339842),List(95863585, 62808680),List(6586556, 33326822),List(22364056, 41170382),List(10289279, 20430887),List(46544051, 78303899),List(29532456, 74392589),List(96613409, 56910956),List(22482263, 51713187),List(2367544, 14137489),List(89818470, 99112513),List(80813164, 47351216),List(10156474, 12718194),List(83023296, 62198495),List(33593518, 69116034),List(87137433, 41643550),List(59824744, 74534201),List(98268129, 16508181),List(64971072, 99610679),List(14134674, 71640523),List(43048512, 36284997),List(6859844, 64347358),List(13729381, 42121261),List(71200790, 28503316),List(47003598, 79615621),List(90298869, 52961547),List(12217580, 11937917),List(52162588, 47703545),List(3753119, 43947563),List(90639709, 56460182),List(80623100, 48977783),List(78573481, 93981748),List(40777146, 9302544),List(38777490, 10496363),List(29765347, 7583602),List(46033373, 27418406),List(58400567, 63625483),List(72892378, 51291972),List(45443922, 3009235),List(2916248, 30275082),List(18079790, 23993408),List(23126920, 40346163),List(31242626, 42556184),List(60255924, 55936074),List(900102, 19029274),List(17165288, 11065329),List(70424988, 18261944),List(18251413, 45095030),List(12237298, 38477960),List(86651227, 10738032),List(99926699, 81118662),List(64249369, 16718305),List(57131747, 53732943),List(72641413, 42677572),List(51285716, 76829700),List(23909698, 32261278),List(40010706, 27457102),List(17605462, 19558261),List(43759927, 59066972),List(84274884, 24405954),List(93864014, 80584241),List(33412581, 28037166),List(39224788, 3894507),List(78721741, 76915190),List(93162683, 83210782),List(59330234, 13584133),List(31177634, 81726054),List(72470950, 86887568),List(42180237, 31868947),List(50450016, 6819356),List(19577430, 99595805),List(10284590, 38691158),List(36524309, 14756637),List(34178128, 22380129),List(39153271, 7962891),List(69536168, 59837496),List(57039125, 52967717),List(7398719, 62053990),List(64228115, 76286569),List(59249039, 34661153),List(34013428, 71307091),List(35438731, 84603143),List(66829081, 99141552),List(60610257, 37654319),List(34373309, 75159890),List(36313104, 18001757),List(61877023, 64784041),List(95569263, 94559930),List(22723821, 85024056),List(94856515, 66826263),List(78313459, 74332673),List(28562902, 41412669),List(59270997, 64377165),List(25067587, 54410374),List(40904595, 79311261),List(90553179, 78700144),List(55473421, 55856264),List(99847610, 86721016),List(84482884, 57718864),List(2195958, 68606874),List(81423004, 27621287),List(22357057, 53162038),List(39431365, 26671049),List(9752270, 56309902),List(61295213, 70347242),List(25308825, 1980830),List(69166818, 67677413),List(35214494, 23039482),List(85696376, 93687094),List(17140653, 94855221),List(14342726, 73911419),List(79294056, 50634047),List(59689419, 93002817),List(95475087, 54798817),List(54137110, 7887944),List(63056699, 85613642),List(15560439, 94576118),List(66999874, 69257741),List(54694584, 48521381),List(99788438, 3736109),List(60021591, 48170575),List(23699891, 92690895),List(22309743, 17072816),List(54117090, 68039188),List(61409440, 56553510),List(8076919, 19879762),List(65923860, 91775783),List(830552, 10901833),List(53558242, 61142914),List(23981694, 65169119),List(90822226, 30323120),List(17421377, 17171814),List(6224249, 68627904),List(19409406, 37786775),List(36019478, 90742126),List(40924844, 3149427),List(11583596, 32994635),List(61555661, 46093356),List(71339314, 66961541),List(96319570, 137938),List(21956443, 18753186),List(38640761, 8096553),List(75616006, 71829678),List(94244801, 97476613),List(34483229, 57776226),List(24510801, 35039518),List(59544169, 47715684),List(31028529, 30444677),List(80606524, 3243888),List(82111360, 44576858),List(44026588, 58122959),List(79303954, 69924516),List(28801479, 48820687),List(13382603, 14999039),List(72907403, 11423092),List(26835233, 40424456),List(59493517, 68605174),List(74774983, 69067380),List(42750930, 16192910),List(59479037, 29752470),List(65458126, 60323509),List(62499174, 19058272),List(86856741, 91707362),List(87975456, 90839592),List(46948632, 87235997),List(65551852, 37242174),List(348785, 37640331),List(62197783, 26596327),List(70505438, 34317410),List(35891897, 72290997),List(26890728, 91319136),List(7792957, 81704029),List(60011050, 78420461),List(50229376, 56545964),List(67107103, 92893934),List(39700714, 41210066),List(15654790, 85817106),List(37919307, 38334444),List(29665016, 77934936),List(12482096, 74551543),List(40211229, 40798569),List(6457576, 58984191),List(43936295, 23601704),List(47727740, 14773181),List(25702865, 77946042),List(33046030, 23646485),List(14817549, 77744646),List(63073901, 72405623),List(2195466, 8493526),List(33922421, 133756),List(25430526, 51732472),List(57204951, 11465758),List(67436167, 95879181),List(27665075, 93580562),List(87014998, 48181151),List(55834945, 87591049),List(11622677, 23877224),List(31908142, 62682608),List(10241585, 75672451),List(10766835, 12952780),List(2633234, 40381784),List(22620864, 64911119),List(12663525, 61794717),List(52943826, 74415923),List(27247127, 95527067),List(25947762, 36209740),List(20439287, 15542707),List(36580231, 17870735),List(2923744, 73691227),List(32228569, 97756236),List(46147702, 48644824),List(60755674, 52072464),List(96422574, 24163454),List(13090357, 99799153),List(45651054, 85383518),List(44434212, 44622629),List(27281197, 22069512),List(86998196, 35349914),List(78883555, 31321463),List(81954376, 94558777),List(59193343, 22168086),List(60215116, 70827454),List(50176930, 34137434),List(60758998, 128335),List(37099621, 24301447),List(96849397, 6253319),List(87620561, 82744739),List(41794609, 84480433),List(36636472, 77129928),List(45436210, 33514495),List(3716702, 19659719),List(47932069, 38339816),List(62458840, 88773037),List(70289688, 13068984),List(73372338, 1528810),List(7239216, 20331244),List(49410242, 24997286),List(47438825, 97335949),List(26889150, 39998870),List(75126911, 73982891),List(7784591, 2665461),List(88334186, 79221138),List(2780591, 45085358),List(9194952, 90888059),List(2764058, 14784536),List(15369187, 82265227),List(97479492, 80307663),List(13962242, 87617813),List(96452919, 79876289),List(39479034, 79056829),List(75769048, 50726959),List(55790763, 92559978),List(95607669, 66546201),List(93418729, 11253489),List(40103038, 26096652),List(41838839, 41478106),List(62606824, 44647563),List(47030397, 90884669),List(62065633, 61074540),List(88352993, 28193974),List(95376037, 42264297),List(3828378, 85293333),List(44046509, 19217080),List(71970424, 53338798),List(49183365, 76854266),List(32950106, 86876625),List(20952493, 78624499),List(3577893, 69197251),List(96004240, 96085358),List(6423111, 69943592),List(69542268, 27084848),List(20828291, 27488112),List(1188463, 63628825),List(69868992, 80141003),List(69561649, 29665276),List(90306792, 17037612),List(31857205, 54110761),List(49299787, 48066602),List(29600040, 27609186),List(28787437, 74012601),List(20748732, 67609200),List(78968437, 73460897),List(30561716, 99816528),List(52846438, 35931806),List(63678695, 82163483),List(5938924, 55996817),List(23517722, 26433539),List(64526396, 99068536),List(54367967, 51532276),List(3245350, 62947690),List(33670622, 4145012),List(45253291, 47569191),List(22905542, 29759175),List(98130990, 81027401),List(65879254, 46581726),List(68914837, 91593214),List(96291290, 38192910),List(430842, 68221330),List(43951703, 75042511),List(92024993, 84947527),List(39575059, 11168750),List(10882747, 82797155),List(85414861, 69252686),List(48669700, 80974152),List(95225656, 42402178),List(46978307, 40835815),List(92311582, 79142633),List(44022227, 27983049),List(99697976, 35217144),List(72415998, 53828638),List(51100174, 43251655),List(40202382, 50097149),List(55678416, 10242469),List(64792589, 8414391),List(59608855, 30792649),List(71036974, 7075506),List(87808150, 47970189),List(65501225, 23510167),List(65369908, 26180891),List(43212684, 55919892),List(79106150, 80529467),List(40694133, 54083407),List(27981235, 74976049),List(99238214, 42982325),List(21247956, 24343798),List(92109447, 45750511),List(23644148, 38325504),List(96243773, 40320222),List(71512943, 52710768),List(78358668, 75727417),List(44707673, 93771530),List(98738142, 26351324),List(92247646, 44306845),List(70257792, 97383704),List(49242479, 99662934),List(22781921, 41740226),List(59845059, 89137130),List(6354777, 185216),List(6208038, 49852802),List(33856139, 21151611),List(21636576, 27012765),List(11054948, 71617117),List(27921823, 35192177),List(78226396, 49457829),List(53465954, 2790137),List(90179706, 79856703),List(48378177, 52176159),List(6935622, 70247066),List(17051966, 52058449),List(8718713, 51052298),List(22986886, 52889647),List(20408662, 10163506),List(49393189, 39954063),List(33108436, 29176600),List(46348748, 97996747),List(67349449, 65951143),List(7391466, 25761414),List(4286233, 68912107),List(85625355, 28873250),List(8922272, 26861271),List(33609560, 27631334),List(91799733, 91401422),List(4385110, 70409833),List(61066540, 55848135),List(15749763, 85750079),List(60988070, 22722696),List(55093740, 72969900),List(33022639, 48144740),List(53880626, 28752005),List(58196694, 94565355),List(91072633, 61055978),List(73826316, 78933623),List(62833347, 94685817),List(55387445, 89274397),List(10846209, 59238507),List(2551437, 35887636),List(11145883, 87875277),List(76975389, 91728550),List(18137287, 68563212),List(84966739, 36905570),List(88661190, 61682821),List(58866106, 17584968),List(49324169, 75078301),List(29598075, 65555724),List(47860398, 77784546),List(55584714, 18403514),List(35661375, 70995848),List(80605030, 92231880),List(53982181, 59889818),List(79455622, 99655232),List(65489765, 80622215),List(11373156, 68925732),List(65347819, 36113867),List(67893865, 28321394),List(72002169, 91246032),List(91298101, 63021353),List(52010489, 35006928),List(87174810, 47470760),List(42306, 81869372),List(79287646, 41557052),List(75983081, 86705596),List(2860568, 73089538),List(58674283, 85968524),List(43220856, 5346530),List(62572793, 81031377),List(89326898, 32499126),List(73589483, 58680368),List(41471114, 48578374),List(69493639, 68079985),List(58063116, 1644458),List(35043623, 2237936),List(20830054, 69244326),List(44614515, 54846701),List(82288599, 97622366),List(61415063, 1835148),List(9727974, 37415385),List(60664035, 90809746),List(95211375, 71731657),List(75169587, 6792935),List(28603836, 55452561),List(5915868, 89844428),List(17967969, 70767439),List(67304926, 35020160),List(59867830, 62672205),List(28041458, 48470925),List(96786690, 30405488),List(95179641, 28016121),List(33335204, 65918534),List(3454171, 29033076),List(5258831, 41678673),List(15533886, 3387994),List(62101445, 91992497),List(43467727, 96260645),List(56681635, 12629016),List(40605447, 16265645),List(42804820, 71461548),List(35533880, 97104381),List(15040716, 38470257),List(18155915, 9969520),List(72337602, 29292647),List(7800976, 31004231),List(81619012, 98657113),List(9693081, 56461713),List(44354888, 19574963),List(23304853, 78476136),List(15252681, 36387288),List(32529892, 90417181),List(50843064, 85455888),List(9705013, 12892792),List(3431193, 1975926),List(70172187, 20844773),List(37419298, 66830784),List(12199435, 21490751),List(64324052, 273088),List(67580633, 13157760),List(86086635, 19389591),List(46852140, 19859999),List(41605548, 69935646),List(19359993, 82532046),List(89026904, 55644120),List(36387595, 77782816),List(13403519, 10459847),List(43823027, 15880091),List(68385487, 58335786),List(25625521, 90416457),List(92299075, 42962631),List(99005445, 92640304),List(63583345, 73616458),List(63188138, 84027365),List(65553700, 13636637),List(17287985, 89639956),List(8544989, 19535488),List(94699199, 74848234),List(22922322, 77316177),List(25147926, 9807211),List(53399392, 60906376),List(76421457, 72394537),List(4438198, 60071044),List(94780315, 76607080),List(51240629, 67168517),List(97555801, 34805168),List(20131696, 9368),List(37689708, 55000414),List(1158211, 90453251),List(54232844, 72612193),List(35061243, 75566791),List(68421008, 40154545),List(30872169, 71495360),List(2561448, 75720821),List(24801328, 46804169),List(27787869, 66995596),List(5015115, 25449297),List(27034206, 57870021),List(71334974, 71470501),List(80203281, 38010949),List(22579028, 34642168),List(60351961, 83683060),List(87080281, 24816919),List(19902052, 19230922),List(91196979, 33726297),List(81461445, 64655029),List(40529910, 57431349),List(48157152, 59485096),List(36010007, 13189582),List(90711350, 41309534),List(72022809, 76655010),List(49482947, 54970689),List(41236749, 55084551),List(24063269, 57651597),List(88366354, 67355728),List(87392337, 85104393),List(17725496, 10772790),List(40189203, 86663715),List(18228911, 16575140),List(55092970, 47851118),List(11093269, 31988785),List(71539209, 5783455),List(56848089, 93251811),List(99393038, 93758157),List(64357231, 49122364),List(91430344, 46998817),List(20162419, 34353508),List(94465606, 62014888),List(39309505, 19964234),List(95193388, 52563313),List(27832262, 79324965),List(8300623, 41284357),List(14850519, 75523721),List(2477428, 97652836),List(2331296, 16382573),List(93131761, 52429328),List(18802397, 15412030),List(72449556, 43400466),List(6360465, 22164780),List(74185050, 86508717),List(69513712, 89277868),List(49363332, 30265221),List(74914740, 8735027),List(64424971, 62448512),List(34021382, 12559152),List(95553804, 42835427),List(49127003, 86713489),List(91648941, 57393961),List(41794109, 31769108),List(29443772, 54575888),List(67582466, 6775068),List(85367346, 50026757),List(75385041, 72621647),List(90247892, 77085593),List(29214291, 35131028),List(36933719, 35433804),List(25572000, 92758896),List(29774569, 73694516),List(13861201, 75766863),List(28100368, 70167416),List(45026581, 61531801),List(648281, 53044905),List(75728580, 45369542),List(35924979, 71222163),List(9874982, 51008141),List(7126249, 94399240),List(58707666, 35987364),List(77810481, 11933615),List(58401386, 15614482),List(91571091, 67856527),List(70716255, 90787940),List(57066732, 67993697),List(91899233, 89590),List(44887131, 56637957),List(67508969, 68944468),List(72867910, 84462264),List(84868255, 80583680),List(26490664, 29528659),List(82440581, 76591134),List(39052304, 6849218),List(5939734, 90981753),List(45487557, 67301737),List(50818557, 90028438),List(13325596, 5138863),List(1508243, 80680230),List(83233404, 12206603),List(64563071, 91708527),List(49267399, 71489492),List(40737338, 45391260),List(2856526, 20629770),List(5833605, 2193707),List(86537078, 33482532),List(84082132, 79595989),List(88070672, 89734061),List(91395757, 78340908),List(74310420, 51883265),List(70395993, 45112218),List(62463174, 73774318),List(99580974, 63791427),List(64346035, 70614735),List(90360754, 91931926),List(37007387, 23735650),List(39683878, 41825112),List(32651359, 34779145),List(96360818, 29581485),List(47608669, 74433906),List(34797983, 83257137),List(55696377, 76164347),List(54188491, 90394134),List(30157351, 72783959),List(59302345, 59932779),List(5474957, 47483134),List(38867497, 52975685),List(20448205, 58585012),List(48172550, 36671572),List(62772789, 86782742),List(24414456, 28020288),List(45069659, 61062270),List(88375008, 72442578),List(21230981, 48886617),List(93068895, 25354853),List(79656933, 68495567),List(23910452, 58270956),List(84619844, 7703987),List(83628724, 80885265),List(55728085, 47807886),List(39970947, 5069240),List(8871935, 91565429),List(64968139, 79053325),List(294311, 31549952),List(87666396, 54468517),List(6869811, 7662156),List(20251054, 64650237),List(35940869, 40201266),List(23068183, 10998743),List(88403129, 10103440),List(95356883, 56433570),List(18391370, 86458138),List(51918829, 68109547),List(27777119, 5010778),List(27266440, 93670834),List(50031217, 94492081),List(76219005, 93481573),List(94548253, 90358265),List(59388137, 88781813),List(89699230, 21505735),List(51139643, 6719816),List(73179906, 43837544),List(64666481, 5944639),List(92308314, 15262497),List(56727417, 87063199),List(66218421, 57162400),List(8481843, 36133731),List(39990605, 60012181),List(60870824, 33300568),List(54039302, 68262303),List(42114133, 77081834),List(39818582, 99685737),List(87616488, 24057270),List(48477551, 48543184),List(41252921, 24664567),List(90082738, 58922611),List(35941678, 342332),List(29030700, 28760584),List(23163155, 34779137),List(49901057, 20991259),List(79394941, 94186319),List(23094938, 80735399),List(24925567, 40798617),List(37109286, 98710531),List(50754945, 62781528),List(19716493, 80795110),List(64441143, 8440500),List(16437013, 18247756),List(8851874, 33345965),List(91633031, 7743263),List(48316483, 86921697),List(51070857, 47981040),List(11890554, 80763596),List(88861178, 93145012),List(52094197, 48883342),List(27417358, 20340622),List(40218576, 5231529),List(93760184, 74277058),List(99916224, 56865427),List(49441653, 2720087),List(20237191, 19630607),List(56708332, 1101432),List(27719306, 20846459),List(39472833, 5632765),List(50033127, 53621340),List(22537648, 60361200),List(99413619, 95744933),List(45431068, 19304273),List(85918661, 51008820),List(11680751, 70644696),List(812627, 82838644),List(71745920, 2674650),List(95309930, 91574890),List(68590119, 51816571),List(6474833, 8720681),List(30714065, 10731348),List(13696793, 44521909),List(10339613, 29002847),List(42184341, 71143909),List(9160149, 19580968),List(71395912, 55900815),List(35589849, 99023712),List(76359001, 20821803),List(61041979, 39095342),List(33173780, 55153607),List(8392097, 64996143),List(16608612, 22520976),List(14133255, 58262869),List(23349576, 22158773),List(64488275, 70244142),List(23046783, 22336872),List(61399165, 10828101),List(57430993, 79973479),List(41942508, 61403255),List(18104327, 12537739),List(19997497, 23122560),List(58520117, 83383928),List(69828554, 70339832),List(97988271, 45341376),List(13717766, 93386869),List(11455096, 47949233),List(61176281, 47960803),List(10688912, 76272199),List(7388872, 95366831),List(20461880, 25298205),List(27312394, 44900358),List(63922712, 20908861),List(22610947, 56662370),List(9688659, 64092569),List(15876452, 92369440),List(90298095, 69650481),List(72566579, 87818245),List(3729665, 87739677),List(47520811, 83430557),List(84263121, 87871164),List(5544516, 81179853),List(94033066, 90634809),List(79578105, 51131714),List(18299974, 86828867),List(80867559, 48727719),List(75220025, 66711370),List(75075376, 11078863),List(26740210, 77964448),List(45427002, 65665207),List(14974322, 14965421),List(62304518, 56865120),List(78066619, 10156188),List(60304987, 14660862),List(6927584, 21643382),List(54621466, 93609089),List(47327589, 36003812),List(75518940, 32284719),List(15775727, 10597236),List(89216812, 15898537),List(85170627, 62592255),List(12446681, 10079743),List(58679586, 82044389),List(89944792, 74856890),List(78863389, 93511682),List(33608301, 4894074),List(478668, 67398421),List(92488453, 30674986),List(54163382, 78683928),List(75416037, 46300026),List(30328413, 91594342),List(7652953, 58376087),List(53244457, 7149326),List(18073647, 82037334),List(77022492, 53905638),List(91920560, 99842493),List(48412998, 29470247),List(5921344, 56576615),List(6686503, 9604517),List(63154764, 47501240),List(54761578, 69472770),List(61021116, 14316157),List(27058303, 98876689),List(26479972, 65678400),List(20092032, 33221134),List(19360562, 92915356),List(69876916, 41020575),List(44987032, 773480),List(19198461, 63397242),List(11260782, 72524781),List(54080296, 53582391),List(88572313, 72227832),List(74490298, 78434362),List(483957, 76661826),List(50069088, 38200756),List(15787949, 87889279),List(18476824, 11446435),List(90318365, 81432622),List(40141773, 3617971),List(87509288, 83537561),List(1186075, 32025593),List(69170047, 28446040),List(26207927, 86644542),List(73474614, 33005564),List(77641568, 73122564),List(46989246, 7447873),List(94594250, 24188475),List(46437326, 10960570),List(22535355, 12665418),List(80146633, 52081741),List(28887216, 4374348),List(15729716, 66814297),List(40189720, 51485289),List(79603905, 31881483),List(51397956, 80601032),List(55426831, 55304523),List(98168702, 1274241),List(64099788, 87141915),List(88944263, 11492379),List(72403223, 39558487),List(90058338, 89408332),List(67563522, 21764747),List(2559807, 88536704),List(90736166, 50522996),List(36672564, 64755970),List(74404698, 50944860),List(1457816, 6236649),List(68818072, 34342835),List(34260355, 82913358),List(43461624, 52354544),List(33842164, 15575560),List(94252707, 16237677),List(45179557, 75779923),List(77929827, 43690323),List(36745335, 86772493),List(82903750, 54490441),List(18853855, 5843125),List(56710314, 23227418),List(74353076, 58066191),List(81070907, 64899877),List(34194603, 5093489),List(62917809, 57672103),List(21771948, 84718255),List(49773710, 58119865),List(16927918, 76040424),List(92524337, 12480470),List(69048138, 78294608),List(65061804, 47063385),List(61767846, 47652301),List(19028132, 66816734),List(95374719, 28820349),List(5316741, 80993400),List(54336313, 24763609),List(54599148, 12930664),List(8568104, 24995132),List(57263424, 54821575),List(44601671, 97999400),List(47458008, 20593234),List(40197138, 39704164),List(69879259, 23358697),List(74053645, 44836374),List(97287086, 71857564),List(44261921, 42143066),List(2373036, 18128462),List(51671289, 65344695),List(45610675, 23854639),List(23368100, 8566440),List(25827661, 6793142),List(39193183, 85663563),List(5595354, 39983282),List(83626404, 1186719),List(42332039, 87381395),List(98282003, 64764619),List(42761784, 77155686),List(79315245, 21880212),List(77126800, 66823519),List(90873537, 21854428),List(81442289, 43935129),List(19887465, 6193204),List(82833594, 95733453),List(78617641, 43148205),List(58454457, 66705110),List(36041443, 4592191),List(15183779, 33435950),List(12015227, 55516988),List(60783442, 29548336),List(22186616, 38421723),List(78368922, 37691131),List(1001879, 91145128),List(26634280, 9227673),List(2263771, 18935840),List(16538133, 89787059),List(47243438, 24400069),List(43479823, 67995344),List(83885262, 91876982),List(13775274, 35561459),List(69645651, 18801678),List(13793472, 96067743),List(65097203, 47683396),List(5151826, 72679315),List(7488779, 48159041),List(25890948, 41623249),List(82668661, 97135910),List(72417701, 97034874),List(74793859, 14761355),List(7409436, 66041232),List(42355718, 59265429),List(56751301, 91560375),List(73510327, 9966761),List(9726607, 5439107),List(35058629, 68744019),List(1819415, 86029810),List(78714590, 56826148),List(77268642, 80235049),List(20121177, 94515962),List(72010585, 15002950),List(77801155, 5045966),List(92305155, 41121745),List(77048841, 547516),List(36405748, 94373749),List(77051114, 85652897),List(78327053, 30136076),List(70050490, 27043897),List(480255, 12442114),List(67773507, 60998684),List(60779127, 98744293),List(24170332, 9910457),List(3442769, 81525113),List(65427878, 83790547),List(75551222, 98692162),List(72450000, 86615047),List(18806482, 25669247),List(91743664, 56760975),List(11214309, 76670948),List(69196955, 44311317),List(84925183, 88189417),List(25548566, 58581163),List(16285241, 53612971),List(5644907, 14752573),List(32058731, 18093847),List(72360615, 53589884),List(97931965, 53620358),List(39797497, 23662600),List(90572509, 51812446),List(66631215, 82882590),List(99812236, 69330993),List(24179494, 2698777),List(44052452, 4709487),List(73391620, 34726089),List(56163177, 86924050),List(3510987, 82305240),List(41375816, 27754632),List(29451941, 99963204),List(90032489, 43450460),List(53497669, 7193635),List(90712562, 43312557),List(96442945, 94954525),List(23718243, 31367682),List(43510956, 67104472),List(29475069, 88779702),List(29452805, 44115483),List(60271830, 74184356),List(8144480, 55128900),List(19335246, 13810596),List(47218276, 6908552),List(85897702, 59680275),List(38636504, 48965294),List(68863062, 67976446),List(63112597, 42532324),List(73887014, 57875951),List(7067469, 90074406),List(88526393, 87387767),List(96203484, 93633276),List(9780184, 12502837),List(89209931, 1214967),List(34276702, 71600699),List(54184439, 81272184),List(68934126, 90450294),List(61595908, 93704124),List(56449784, 92928971),List(89198941, 18742525),List(92194959, 83471423),List(83364214, 31231876),List(2759502, 58797258),List(32878458, 65039661),List(62345014, 63930919),List(8211173, 12078371),List(59465256, 83237592),List(93471423, 65840794),List(1817168, 93897304),List(45496530, 59113087),List(82303483, 82293734),List(65647778, 64861135),List(66204033, 78577151),List(3119379, 59187422),List(63049830, 4611171),List(38772691, 75184694),List(19584785, 13979922),List(72673423, 49854940),List(71754529, 2373050),List(15335988, 10939040),List(72646812, 31952084),List(34707852, 91730840),List(33707544, 97181366),List(26045586, 30551039),List(22035004, 8072643),List(98970877, 78634476),List(57077224, 94961370),List(11619983, 5893712),List(17171232, 7654159),List(55625751, 20878435),List(56117686, 59114378),List(3285037, 90420710),List(44556647, 96876852),List(40583825, 54547467),List(71355071, 82074888),List(44703576, 70892157),List(10725571, 13012861),List(38485562, 37610796),List(80403266, 77846233),List(11530158, 15187258),List(27879821, 7052204),List(8453385, 93575825),List(47195182, 18960747),List(68352036, 84474312),List(20177611, 93618543),List(91342719, 20898819),List(27185967, 26292407),List(15979203, 50713739),List(6790056, 70206858),List(3470547, 97080924),List(76324243, 38529224),List(62091457, 90913716),List(84714945, 25217096),List(83398732, 48727411),List(87991545, 28609439),List(49577037, 36524667),List(49834751, 59002252),List(38560156, 84957829),List(93249500, 39167464),List(44222448, 62255908),List(43723739, 3869598),List(3356205, 73544031),List(3733600, 33303308),List(12822272, 31488825),List(68674808, 38116385),List(37051520, 6270450),List(89063687, 67468418),List(4699718, 50544904),List(88494025, 50739912),List(21714174, 66420533),List(31823453, 57316962),List(19103599, 37377477),List(8218856, 71500176),List(5008898, 58193728),List(57383309, 84962009),List(39424366, 12065752),List(13509392, 56272469),List(96441103, 67254158),List(77111711, 96594362),List(26066510, 30609684),List(72653396, 91497549),List(82875772, 83741983),List(36662062, 11961754),List(77806874, 15423919),List(23062490, 70676738),List(17784592, 18318346),List(80607664, 55952380),List(98735910, 66170188),List(33032931, 53311856),List(81094176, 860586),List(54523897, 45834590),List(4657281, 51724612),List(32478602, 62918567),List(34401756, 84367786),List(4237174, 99608914),List(73943001, 9054106),List(98709611, 99107396),List(60828186, 31884366),List(47466136, 24824738),List(1872606, 73558640),List(74899315, 62996377),List(1769384, 12881381),List(60907839, 37930410),List(49250489, 47845405),List(80562304, 96103822),List(314112, 6874857),List(76208623, 72568361),List(17144717, 24152453),List(35723240, 30818936),List(72058774, 32644659),List(69306823, 54565762),List(8910306, 19335130),List(47294589, 26297704),List(61537095, 68635091),List(82624920, 44408081),List(63947331, 19916574),List(38141753, 46891751),List(9474259, 61518323),List(29736022, 5248049),List(58005844, 63636945),List(29077188, 62935811),List(96411866, 96641745),List(5629169, 22794550),List(20327691, 83460581),List(33552924, 92708141),List(27880937, 14502403),List(66087649, 82733813),List(49356803, 12231265),List(82144030, 71311136),List(9003823, 69544667),List(2891921, 67889017),List(19086652, 32769670),List(87944205, 79190431),List(81051528, 13603515),List(90270745, 42572072),List(41060181, 61299833),List(99480410, 65546844),List(41769802, 292047),List(91362839, 258426),List(7545987, 46307665),List(50485534, 7064314),List(65298404, 23383541),List(16858012, 90996889),List(37350221, 78856356),List(97623628, 65822720),List(33853126, 87191223),List(58433516, 34407983),List(20955201, 7172555),List(95446665, 82697324),List(94841245, 49128246),List(33982263, 77230182),List(3591643, 58251100),List(83779998, 49702851),List(19408652, 5804414),List(55389659, 2503914),List(12209945, 58839139),List(92299883, 22946450),List(67157732, 37865131),List(64649811, 29602669),List(84990874, 11766172),List(58978461, 56100197),List(61175120, 61344452),List(96574476, 83218131),List(56557840, 90439665),List(62726815, 53070357),List(85013336, 56995798),List(47421410, 82580343),List(46253774, 72489787),List(85746664, 41227171),List(69794790, 29000825),List(90638692, 44393554),List(26550726, 46247196),List(71936879, 9358716),List(17318503, 23840336),List(24243466, 35402972),List(10881064, 68204280),List(9869545, 62842730),List(25309737, 13644706),List(6685060, 14004646),List(76669410, 53901836),List(10929714, 47658051),List(33892852, 63719597),List(75117697, 19015336),List(4851851, 66140608),List(70084664, 67963864),List(56424437, 55196490),List(94064017, 73832725),List(36747596, 74651046),List(78477220, 46599283),List(65092483, 53001333),List(7692588, 93729334),List(51573736, 7089873),List(58514346, 14093344),List(74267405, 76527251),List(89730460, 41487350),List(14248656, 18984215),List(78001452, 6260200),List(22781628, 60824174),List(41159187, 36355458),List(80981872, 16338310),List(71953130, 82493985),List(33798628, 65524794),List(87082313, 43321106),List(884338, 5084839),List(99393041, 41905580),List(75974925, 97347804),List(14790267, 24270849),List(87885544, 64311417),List(25857737, 12531818),List(30856113, 18576686),List(90982957, 81072300),List(88296064, 39264562),List(30356874, 69648085),List(65322235, 74299551),List(71863377, 33492675),List(61193538, 9253394),List(68929684, 54706960),List(53190788, 7108589),List(57359182, 89470092),List(50218788, 23215044),List(26218647, 93710258),List(67187667, 6568766),List(3469298, 60829678),List(34384203, 21424483),List(62061529, 35059982),List(46410212, 81624724),List(42152557, 61258790),List(78317212, 52440976),List(67511382, 99364365),List(25100954, 5278320),List(20361774, 33079321),List(77988714, 31502112),List(47151464, 31624341),List(23356110, 55132903),List(83825392, 1327493),List(67107495, 27390766),List(38670728, 22427817),List(3688503, 66637065),List(5571745, 16750867),List(74981255, 56122681),List(6692649, 88433723),List(8392921, 26698762),List(76166756, 82572479),List(19230268, 60568033),List(29078572, 93614538),List(43377036, 1679303),List(26186515, 58159751),List(46294568, 11212406),List(78570368, 84603223),List(5508085, 46735607),List(11614557, 31879508),List(49451795, 92648607),List(76518560, 37148556),List(25759703, 18909913),List(76317719, 29864115),List(48079092, 52016747),List(73190280, 8948457),List(48987131, 71372804),List(13561081, 78860521),List(38510076, 88518380),List(92195444, 9610741),List(86328168, 73616877),List(67688664, 83934361),List(11646811, 98736272),List(69688372, 40897792),List(7164691, 22871869),List(31291577, 56367932),List(57796417, 59782563),List(3913229, 15341332),List(20562115, 43104052),List(25523395, 83221718),List(83386260, 53849231),List(41330769, 26658822),List(70807490, 58815966),List(12741077, 81271429),List(3271346, 76866372),List(7977679, 90038424),List(94505711, 66376795),List(36795594, 4093132),List(54367203, 44658591),List(15634736, 48937663),List(93450518, 56966575),List(41212844, 50781753),List(45867636, 74085411),List(12763796, 7032026),List(9226010, 8234987),List(17600452, 15139714),List(13091813, 34172381),List(70801979, 80730927),List(61762169, 58014930),List(52590348, 99319064),List(80286148, 51560407),List(72231281, 94867757),List(27248233, 3617825),List(60017083, 32640680),List(29058639, 63644583),List(69674514, 79185716),List(77724580, 76358114),List(9720838, 38731454),List(28470308, 35535443),List(88079703, 95201251),List(23633235, 76348706),List(19649365, 36939384),List(52413636, 82102490),List(56006313, 41018646),List(65337836, 11491542),List(71501038, 71723821),List(30050086, 89833350),List(65044456, 19687493),List(45552725, 23290007),List(23806217, 8912996),List(29459762, 65173888),List(48107551, 26398281),List(66956991, 58163615),List(29577368, 99671405),List(58818718, 215823),List(61859987, 45060805),List(84602002, 30105153),List(66103532, 20717508),List(33681375, 74691438),List(45211387, 52326810),List(68864534, 55723690),List(73849074, 21794367),List(51818897, 21840808),List(44551870, 88247211),List(28344509, 55023765),List(89420237, 37823465),List(77249504, 81138326),List(32850832, 44054576),List(41978968, 40126275),List(37272672, 41551753),List(37902096, 77879829),List(88196990, 92004437),List(53343501, 18540426),List(56950161, 99241138),List(1375026, 71567794),List(28630962, 33700105),List(19514638, 44073106),List(59009371, 28948072),List(3460294, 44482434),List(26410895, 76313212),List(16236227, 74498030),List(57827959, 83918970),List(60460840, 53512840),List(84301613, 96726819),List(15198475, 88776375),List(88989757, 64067521),List(83558927, 34017462),List(14146905, 6822957),List(50651058, 11499259),List(91326473, 44116696),List(895988, 31076396),List(29092171, 30900005),List(67110014, 72418211),List(92068585, 27383837),List(95715961, 78272609),List(59043018, 54738606),List(77831701, 23126229),List(9543957, 44592755),List(95318027, 63696035),List(26848166, 12950555),List(25643120, 62006910),List(71160352, 39735628),List(44529337, 54402161),List(27328798, 74966300),List(60715252, 29697836),List(71435191, 84791605),List(53400925, 83847943),List(90121404, 61940687),List(76878388, 84369986),List(61261682, 62748500),List(81646054, 14444771),List(61876514, 84770552),List(51179075, 35157475),List(49783203, 29219554),List(82855039, 62288220),List(83206478, 54958735),List(45994371, 26302919),List(56333803, 72409590),List(12474892, 42414829),List(95124620, 77548531),List(18393726, 94770485),List(30623301, 95134693),List(35062208, 64871533),List(93028511, 47970987),List(94371646, 66720552),List(51013218, 90471814),List(4471464, 93970464),List(60322772, 1035349),List(73650805, 59738088),List(45651739, 31657786),List(3994266, 37618489),List(97783004, 53545557),List(33236203, 34772652),List(60975477, 78633651),List(21134336, 95384098),List(14902457, 62626797),List(19059059, 32335757),List(32116260, 59592529),List(59399942, 69392120),List(41771076, 97830400),List(36385283, 32377535),List(55364103, 43399622),List(64075812, 76002083),List(51030212, 17582661),List(58487581, 64278587),List(37549509, 25492998),List(36999190, 91098601),List(8292699, 74584020),List(94777615, 27587156),List(88481923, 23555108),List(57866539, 82543475),List(60520655, 26135610),List(52144059, 98839625),List(18491534, 85078203),List(45700572, 13524478),List(92218471, 60525785),List(44374271, 92935091),List(23791513, 97605417),List(91695955, 13981520),List(4915640, 26384613),List(1511344, 34648188),List(56224327, 25828257),List(43252241, 91614710),List(53351391, 20968763),List(23460527, 90668137),List(89437352, 54192736),List(30095235, 50428200),List(70222111, 62402481),List(58140564, 27733839),List(4190062, 42949719),List(86699721, 88281592),List(79824230, 1103173),List(35185503, 12592015),List(36466310, 88517067),List(42106212, 58412952),List(12374887, 23244798),List(49686077, 3421306),List(11915553, 82552151),List(54482446, 43986039),List(39581360, 5533402),List(11485443, 72228200),List(83310697, 47694849),List(11045127, 62488180),List(59004147, 99355629),List(61933657, 96504267),List(65125786, 75657343),List(35796184, 53966618),List(74849707, 96674258),List(87806698, 25151770),List(92023487, 9028543),List(34028036, 41399738),List(4979269, 22816142),List(93830494, 88941760),List(53061987, 57334331),List(13130353, 91820714),List(40840426, 85936594),List(9322823, 95457323),List(84932502, 10435894),List(21450011, 24686115),List(67445272, 4408851),List(91932698, 8963381),List(56559100, 37243102),List(5409747, 9806739),List(39831505, 72723755),List(13007387, 30522440),List(85462739, 38350602),List(15184931, 39275638),List(4922087, 66958677),List(75840845, 29142121),List(68699374, 25337013),List(88672474, 23307511),List(82186965, 14532811),List(66129041, 21688568),List(91498546, 1626606),List(96948589, 59022726),List(22165289, 10970131),List(5920337, 65860857),List(57616589, 85749036),List(79627135, 77982221),List(32284412, 62307741),List(69433409, 41445298),List(75906232, 8135297),List(53545456, 90059200),List(3613201, 7190044),List(82927336, 22305477),List(14718893, 55949496),List(14619474, 67936455),List(10922502, 96588727),List(58228361, 9523138),List(67555208, 89144832),List(15964897, 96717538),List(15770392, 85479266),List(65213650, 87857648),List(38461080, 9884430),List(87119508, 79320227),List(17658526, 61921993),List(78403517, 76395707),List(81934874, 46140928),List(85420653, 3782779),List(48785220, 66397441),List(53158312, 74348991),List(8382284, 18159073),List(30612429, 85266610),List(92653463, 34584211),List(41445955, 20107251),List(22232810, 5952936),List(18006973, 83446268),List(33712663, 84846119),List(77908872, 50554051),List(51450747, 12559214),List(67452287, 55328821),List(35555618, 1826702),List(55735445, 8846638),List(84380861, 87049368),List(6494977, 93533002),List(85618119, 22234976),List(20168630, 55833317),List(77224588, 34133523),List(65923069, 5730884),List(42397942, 31415312),List(28582122, 62502936),List(72750901, 55773540),List(63918874, 68373671),List(8351067, 25886981),List(53444511, 35550446),List(72238464, 98872329),List(28980700, 35238054),List(40155481, 90790671),List(6941895, 84250968),List(43860309, 93074325),List(83429297, 3502365),List(40137952, 34457894),List(94823427, 14071004),List(55442625, 57949929),List(17851656, 77475149),List(47980995, 62709720),List(35808238, 98503797),List(93897699, 69808226),List(68530939, 89113767),List(56861451, 93860222),List(10942812, 88768640),List(51993687, 81420550),List(16015978, 10198725),List(61104297, 90226551),List(55691199, 61958856),List(96562024, 9813440),List(13556493, 84280299),List(48579253, 30416448),List(96122142, 90391331),List(34674468, 26154856),List(95089432, 33834120),List(52390681, 93149020),List(35664435, 66547817),List(2334214, 30169892),List(6868736, 66207707),List(27487995, 46097870),List(75111601, 47937441),List(28050596, 18772432),List(75533262, 83832243),List(10493393, 80602935),List(70955946, 30483842),List(86359227, 58803917),List(48042545, 44233531),List(73586678, 29697553),List(21700823, 46663518),List(66806414, 17209546),List(62119519, 17818826),List(43392231, 51744445),List(40421251, 50749089),List(56652267, 39387630),List(35798709, 31443495),List(97839663, 13684586),List(96863300, 69515903),List(58813523, 89694167),List(52839579, 44371414),List(10063699, 32718913),List(30905287, 43774675),List(55859199, 40098243),List(51639615, 69604470),List(36190674, 1617655),List(50843708, 10504294),List(56258482, 50613032),List(37694271, 91891045),List(91645612, 49314503),List(27738938, 83149697),List(41356730, 92872689),List(96333597, 83518824),List(27811255, 18633982),List(85676989, 50335256),List(74200245, 77630104),List(30285013, 22022151),List(91915943, 8017298),List(82426449, 56233874),List(6492306, 16939505),List(17366232, 88323978),List(76929602, 12062371),List(12386681, 75814571),List(49060629, 48157940),List(38273253, 30080335),List(16399695, 18374926),List(23721776, 558285),List(10532579, 17956299),List(66973246, 68520591),List(37792284, 24027503),List(4183209, 88151758),List(53294249, 63191811),List(91369819, 88870799),List(25950542, 30121700),List(33645266, 16795740),List(97995140, 29799967),List(54123612, 82834990),List(2861310, 30016230),List(40222243, 85059449),List(55344819, 81198414),List(85180956, 3788632),List(62287993, 63979712),List(47643626, 41863648),List(89298875, 41496353),List(27512107, 90724821),List(37123260, 71776550),List(89206437, 68257412),List(75962143, 69906093),List(74275835, 25780215),List(67101982, 4988179),List(74240823, 71396348),List(78887651, 79097853),List(52438356, 27852993),List(97709161, 8919047),List(90595170, 25908196),List(26707076, 46463907),List(22324033, 83092634),List(17718898, 54037215),List(87922302, 96110501),List(99787889, 11839063),List(89548346, 51958385),List(80010512, 19368844),List(59669758, 15692377),List(64980980, 58632093),List(80040007, 78715416),List(6747969, 71500990),List(87498665, 40307499),List(21638817, 98038805),List(7759872, 8539568),List(62908301, 45800375),List(42707601, 21560645),List(45168021, 72961543),List(15553003, 84267860),List(99765164, 97834318),List(47807670, 43655080),List(77976893, 53824055),List(17180190, 15256168),List(11567922, 445542),List(75750317, 88219580),List(36456162, 25116130),List(12697949, 33035020),List(17459322, 41020931),List(51596290, 40038878),List(92190349, 41580524),List(84121899, 34563804),List(77761241, 23602465),List(27440230, 71891926),List(33910725, 48165389),List(90166419, 53506974),List(62556799, 5821547),List(48950614, 4891978),List(8654869, 47317122),List(34423718, 56025416),List(81258727, 7370628),List(26097987, 87594428),List(85609712, 27632532),List(43202358, 11521969),List(39684118, 89568224),List(40756200, 5793172),List(13792883, 99330694),List(15590345, 2328842),List(91817035, 23355066),List(25567580, 68973469),List(52139118, 43166453),List(86964487, 31099022),List(26953822, 25702263),List(45922024, 75701770),List(50432396, 38558947),List(15135945, 95949072),List(28135959, 87227074),List(84903262, 83492583),List(88186080, 17896016),List(56504113, 86570898),List(96603735, 39148468),List(50322522, 86382424),List(59818851, 82803888),List(25076854, 39551170),List(86606877, 66639296),List(79060026, 74956216),List(27699521, 64249990),List(86529660, 61962965),List(32616366, 91815969),List(71844993, 80512980),List(96715279, 19006946),List(42123452, 75237729),List(44748075, 9756849),List(59730163, 47308886),List(95747516, 25827761),List(18070243, 1527378),List(45623478, 59094604),List(62075996, 68123232),List(68381837, 22372784),List(87615706, 29257226),List(20976290, 43906445),List(54028734, 18561398),List(5022625, 51084663),List(28528916, 2484900),List(36249452, 25353351),List(38709444, 79017287),List(36160443, 63394341),List(96362330, 43552383),List(95414806, 55990096),List(77747830, 2783205),List(81632813, 17178088),List(28045210, 72211292),List(80549275, 1812029),List(90396136, 36965379),List(5835647, 45085112),List(86382868, 51728026),List(51733137, 89524778),List(89102618, 54373819),List(42895984, 73933423),List(81210257, 47182294),List(61860842, 32802714),List(38088898, 19249727),List(14125365, 73484093),List(29762209, 41594438),List(83794698, 22937346),List(57731528, 43004526),List(89748934, 82564085),List(95531357, 49791901),List(46306738, 34951396),List(66378274, 48102341),List(30091600, 49256969),List(5687392, 22143836),List(22315805, 6086732),List(48676733, 68532054),List(94410276, 68429016),List(83475236, 49649325),List(2034912, 64099065),List(38700171, 718031),List(15301459, 17949507),List(56474339, 93588587),List(17928237, 91161054),List(20989496, 61122328),List(68051528, 82822802),List(78329312, 38258183),List(76834404, 21065363),List(45254407, 1862181),List(65277795, 36428374),List(14404249, 66214707),List(15229382, 22623101),List(31705811, 83618127),List(80533292, 45505022),List(62129303, 45740378),List(98687563, 58093470),List(18700984, 16030563),List(28137616, 73246479),List(47354551, 35064518),List(58003735, 63137247),List(76903974, 36975395),List(95697728, 8767519),List(46352943, 70353776),List(20887454, 82905816),List(20672061, 88958731),List(98788431, 95208387),List(41372996, 71217253),List(59466917, 31831502),List(8435789, 6008318),List(34744909, 27114346),List(97011362, 85030674),List(24463866, 76686750),List(87101274, 51910204),List(82744879, 63570884),List(71270533, 13972952),List(51353396, 70036505),List(79664368, 75417662),List(86400445, 54732061),List(22358254, 53318305),List(91350613, 99942176),List(14296817, 81052481),List(72468936, 35414968),List(26844963, 13207970),List(28916607, 37671689),List(49522240, 57791131),List(30075544, 53134171),List(82324850, 83998605),List(80748670, 9739165),List(13365160, 27032133),List(90262738, 38360505),List(97493817, 28761291),List(61900292, 30310433),List(69188663, 91829859),List(58553361, 43428382),List(41538417, 89735698),List(83654532, 79256582),List(78769662, 14261808),List(1568857, 38633077),List(89512447, 89464442),List(20634998, 18519823),List(89208210, 99058914),List(37998854, 78103706),List(26343432, 30388401),List(64372989, 77825914),List(8950829, 86909811),List(5846690, 12950571),List(90833679, 19914465),List(9038830, 48915072),List(35842231, 3462738),List(723096, 34633841),List(79816119, 58055751),List(87017685, 6834742),List(85651644, 23259907),List(82115212, 28929023),List(7506757, 30939224),List(93288172, 37309301),List(89292791, 56533452),List(17023175, 5478640),List(31637024, 4137487),List(23302282, 34562294),List(90575189, 72247047),List(48639029, 64764056),List(61341392, 27955340),List(99740848, 52517910),List(27962755, 17359345),List(54555182, 81598010),List(2554328, 50922256),List(57094017, 18591999),List(39199926, 57081185),List(52247441, 53602798),List(15430877, 91107870),List(89129326, 61559166),List(43581438, 17647175),List(20344074, 34904754),List(75843536, 14439283),List(96380565, 24693306),List(8796741, 42781875),List(2964593, 33847076),List(7615912, 18629117),List(67487934, 77919748),List(85858659, 45967647),List(87515591, 95323638),List(6796649, 17328337),List(32656039, 59372818),List(93396458, 58173404),List(38733394, 82828229),List(28789858, 40265238),List(94190052, 26607007),List(78073159, 31477632),List(15324032, 84394624),List(81679146, 18066145),List(33155261, 67109035),List(64628399, 69589204),List(25854492, 52698226),List(87593028, 97048370),List(43085548, 86032065),List(40945552, 96883751),List(32213463, 51405882),List(57763729, 13178206),List(5960556, 97782255),List(26806873, 21683336),List(42599311, 68449866),List(73215555, 39727802),List(80295976, 93018230),List(32469570, 87980404),List(9518971, 75697997),List(21140147, 84512078),List(33284071, 45979483),List(23511625, 66545148),List(422011, 85706722),List(39717640, 16544020),List(88263923, 42786169),List(76026321, 54591129),List(35429305, 44250311),List(91807114, 19139461),List(66622790, 93021241),List(40347200, 43181769),List(88222411, 79305687),List(99690578, 46277075),List(68255347, 25717108),List(98478228, 4447653),List(20817449, 90730860),List(1070952, 49688858),List(79022789, 66396198),List(90004868, 60859618),List(71188253, 89914580),List(67915074, 44105427),List(40698449, 8744300),List(3242345, 74719826),List(29518246, 35448386),List(55984464, 13508237),List(83131106, 98538780),List(57133863, 46346876),List(53577466, 29005436),List(37680917, 61958911),List(41219041, 32807912),List(83032867, 75245159),List(23144162, 75928662),List(62122552, 18757162),List(13389264, 83062672),List(9043049, 26862943),List(86033850, 47984061),List(94610270, 8093645),List(32520863, 40263600),List(20560668, 36414573),List(70780464, 6442442),List(66777110, 5717557),List(19711279, 83450039),List(72869119, 25859701),List(86046764, 11911752),List(19333138, 58376221),List(23093031, 93148286),List(45272044, 16625971),List(7873372, 35916581),List(19081317, 23961710),List(24466557, 63414937),List(82227957, 94952737),List(72452038, 65463954),List(65909100, 65943211),List(24433607, 61656032),List(40936984, 24188160),List(89914780, 74406670),List(18227983, 16926211),List(55050820, 62675705),List(27519370, 92018417),List(68818656, 46760844),List(48457095, 997970),List(1373131, 20372315),List(31750864, 9841536),List(30337514, 2517812),List(97671237, 24828167),List(93022970, 69959402),List(98316187, 67201556),List(59874521, 76690036),List(36838789, 30483820),List(4554634, 20281592),List(39407548, 38020108),List(62936109, 24715641),List(23847738, 40208282),List(86632035, 27663953),List(80405949, 20820132),List(56994635, 42997543),List(82720869, 38053167),List(10427399, 7830755),List(21967621, 65774748),List(97799033, 15851613),List(4399599, 79102121),List(76731740, 4111770),List(17188505, 51241284),List(64303112, 88624496),List(29762140, 81630084),List(63922553, 60427246),List(67925503, 18194421),List(17595519, 21208874),List(12476120, 14441584),List(2017120, 93282484),List(9279509, 11603897),List(47289313, 81133621),List(56059922, 82054954),List(3218050, 27785737),List(49564365, 21453096),List(17762957, 36699103),List(34521283, 88512829),List(54713492, 4271586),List(45520751, 27694083),List(20437695, 60959897),List(55499551, 14818597),List(38331197, 17399994),List(23543445, 23774525),List(67227950, 39098139),List(29902350, 51672530),List(35912062, 48463336),List(94756914, 48743504),List(61090979, 99193828),List(19932795, 90788146),List(14082923, 19979205),List(2099038, 30671165),List(88272725, 2342083),List(29969817, 80976525),List(99157218, 65404954),List(83022262, 50106357),List(55461775, 52493641),List(78892832, 86688771),List(98925339, 31809502),List(61207218, 73998069),List(17032156, 54912620),List(66109070, 8280988),List(40637540, 41244393),List(87433651, 92410198),List(92318524, 7082023),List(154908, 64531984),List(95555012, 41297585),List(54336231, 76231378),List(98829469, 64728034),List(30229445, 88803317),List(68792948, 8136566),List(78471526, 81846795),List(40025717, 61848324),List(18343460, 45546803),List(56179986, 6552679),List(91475946, 90981764),List(3300834, 481651),List(76646028, 24872338),List(26619, 80714642),List(35018190, 5022239),List(31596855, 79263236),List(93541346, 19647942),List(32050944, 84264565),List(73937460, 84355692),List(8716691, 82729418),List(1155314, 43703440),List(98773652, 79214243),List(52237093, 56193401),List(47128107, 96517669),List(40045684, 27382727),List(74947344, 93468366),List(21871890, 78973379),List(57199803, 73531621),List(3905230, 47681915),List(49995180, 73546647),List(89363751, 73448195),List(30969340, 15147175),List(55758970, 65312825),List(4865005, 18043989),List(47937092, 71217753),List(46348328, 25525082),List(43166306, 80573853),List(96848806, 94408641),List(40024678, 3913771),List(25098649, 86910259),List(54462009, 43304799),List(16457907, 66091216),List(32135310, 49883634),List(95662155, 33991254),List(13769500, 77511187),List(95434918, 5640524),List(31830251, 56381949),List(6705451, 86501268),List(87136242, 97000227),List(30278098, 32997334),List(95927352, 32781268),List(65264402, 96382710),List(86126020, 86010816),List(72394947, 83339641),List(32974276, 86298069),List(73857694, 59969635),List(51003506, 5420383),List(48965675, 70966322),List(35026106, 50333233),List(77385677, 94305453),List(74060584, 12690389),List(73045272, 98253799),List(26640820, 6251863),List(80242506, 85720925),List(70597583, 96776387),List(55506998, 92352070),List(52638331, 85896669),List(82378266, 47815659),List(21540909, 33436716),List(35319140, 44937405),List(94848466, 30004509),List(87815184, 24628784),List(13115045, 96843605),List(9589900, 85167270),List(28481114, 70559787),List(68948, 16788289),List(97692394, 60738677),List(44562889, 55063555),List(59699139, 44409407),List(12060932, 87209),List(41123012, 49684363),List(58924256, 1127540),List(29500440, 22177945),List(4216980, 98488065),List(58177963, 35647169),List(27909247, 86436441),List(59055611, 73126142),List(36688625, 95034162),List(7117424, 19751482),List(17050323, 23552618),List(75231682, 97663946),List(91426073, 45677582),List(55054220, 60151368),List(7813763, 80473035),List(74273107, 14082678),List(22705762, 3124050),List(69116081, 76404315),List(36821890, 80872683),List(35082252, 48934882),List(13627712, 86335109),List(55909930, 53193326),List(8280845, 60817370),List(87313514, 54051641),List(92641281, 19852573),List(81083350, 60817986),List(50964697, 82165106),List(96886639, 26302799),List(99042001, 78570230),List(36086229, 55644103),List(23875672, 99481422),List(89081159, 21385970),List(64612731, 45015619),List(55523560, 36136112),List(79664265, 15017883),List(384509, 8813209),List(11180705, 2447439),List(34080097, 38435677),List(78835593, 50677486),List(17253948, 15631904),List(67026205, 3206205),List(4372980, 90252181),List(8596204, 68563951),List(51459436, 19342755),List(43063537, 32985167),List(39294199, 52273949),List(54190228, 42139351),List(63442909, 61145882),List(84981453, 5211738),List(38987965, 15851321),List(85595351, 43992194),List(74911727, 61198890),List(89880363, 1314268),List(16885135, 78634587),List(41914491, 12932295),List(82800071, 40335318),List(7095488, 69381394),List(73688170, 85965874),List(80919588, 55454404),List(59496474, 81467548),List(78975788, 36593576),List(82508349, 22891929),List(46692706, 95243087),List(98399089, 64870422),List(72979579, 89717742),List(57543128, 86396065),List(29106752, 63532501),List(15576246, 19962108),List(48352984, 92342171),List(19542763, 17140053),List(96894029, 8777177),List(26435459, 8235376),List(17070908, 33216600),List(33356787, 80185100),List(25843019, 52787801),List(77717933, 24715829),List(38157025, 24890664),List(98103982, 33918071),List(64445801, 75132355),List(97591088, 44863011),List(74379065, 91629125),List(66602546, 75701116),List(84212932, 93535818),List(6821574, 71274289),List(83315073, 57870683),List(33813552, 98086328),List(6818884, 93145300),List(67873081, 83109456),List(21560162, 55343858),List(57546489, 65268745),List(19947192, 43023889),List(53677734, 1220272),List(95029091, 27956136),List(40354581, 36767704),List(91565786, 21986684),List(22129591, 90049723),List(32647852, 20898765),List(36374730, 88253339),List(69099298, 87159213),List(50875451, 81183095),List(35527532, 49393414),List(49666268, 16980866),List(69479778, 90334323),List(90729699, 87785340),List(7395112, 34024332),List(65121425, 16919274),List(77593696, 33956487),List(15454340, 96864846),List(92345483, 42371555),List(33723571, 73876854),List(69752955, 59815969),List(70396364, 47671067),List(29418037, 13162200),List(92478583, 33132350),List(38374989, 79537185),List(4125181, 78567108),List(44567749, 1853992),List(61867657, 27413172),List(32845497, 13705755),List(93018257, 58355031),List(65286214, 30735722),List(55476833, 39010476),List(41738055, 32442830),List(63672791, 50081580),List(39057944, 90467788),List(29692334, 62764940),List(59107139, 80792392),List(90357498, 39773314),List(44370524, 40401727),List(89242720, 3647620),List(4338509, 3974625),List(74808756, 71942468),List(25359154, 79131720),List(47791363, 71175447),List(11751144, 42873058),List(40954188, 18023813),List(82751437, 26262480),List(91771208, 74768762),List(17717664, 29515356),List(19086669, 94668780),List(69253689, 96060466),List(67568857, 83790487),List(66350302, 53520018),List(6367524, 33140682),List(9176146, 46982035),List(33839166, 97502674),List(71541274, 46506522),List(83636747, 17157534),List(11315385, 33907768),List(6899386, 87529329),List(36336409, 82181109),List(12918611, 16924634),List(55031322, 80986461),List(53381249, 84478771),List(64374522, 62244228),List(96260358, 47477245),List(2537566, 24755410),List(6182711, 58924739),List(19798672, 78541833),List(8328557, 43301105),List(1318761, 96920252),List(7314778, 35014453),List(85502201, 50371221),List(88093546, 99353615),List(53175336, 97059210),List(9607967, 38926807),List(54570429, 15224089),List(99275165, 95030189),List(76788013, 7696561),List(80924225, 79063317),List(49225578, 76708269),List(77836911, 225670),List(80547035, 20877573),List(16796808, 49417110),List(29913687, 15378137),List(68165447, 6476183),List(82538125, 18427705),List(18416518, 77604907),List(31356303, 4263719),List(68259111, 83520521),List(94538585, 76219362),List(32657887, 25512157),List(30207114, 93461437),List(26300580, 19617838),List(15025116, 668892),List(9621901, 71507778),List(22989041, 72485051),List(49876918, 98080998),List(75491341, 18178433),List(37726228, 70632154),List(89015474, 3631066),List(61314802, 40281481),List(91118156, 74582459),List(57984994, 38692047),List(61265305, 78382808),List(72657445, 40229809),List(33146360, 71671237),List(77498738, 47672380),List(68997345, 40368806),List(93422449, 80583645),List(48616241, 94520037),List(97188773, 25142403),List(40103929, 72186237),List(49983517, 21506891),List(37204412, 43120071),List(5903339, 60074987),List(8966714, 58313372),List(66887159, 63968731),List(11214522, 15431731),List(38730817, 39666157),List(2279205, 82370389),List(33143378, 11677692),List(49909740, 89810101),List(27679119, 53748012),List(46815288, 7912216),List(38227607, 20176934),List(44227589, 5984697),List(4095572, 50846601),List(25012392, 94580078),List(91530565, 42780034),List(70836767, 97389630),List(41540099, 60380599),List(38899271, 30311907),List(77375063, 34351138),List(20763103, 58802510),List(41719534, 70890230),List(6423062, 94746617),List(21932398, 6305474),List(96680255, 27125575),List(82589766, 15770331),List(65239137, 96577724),List(9102685, 82277625),List(80721775, 26680805),List(85185838, 6300383),List(86659519, 13113281),List(88039517, 20744540),List(86895700, 14763816),List(48504692, 97651907),List(30369587, 78240988),List(20363095, 88820750),List(65940149, 88257470),List(99538704, 19324215),List(28328901, 35706527),List(70994302, 91517104),List(64050738, 3399987),List(85478331, 14672026),List(79635680, 39794401),List(16480636, 95667596),List(20324478, 19850517),List(7619859, 35252322),List(93332122, 67830755),List(36231476, 23755231),List(13048245, 58462611),List(24442857, 18488388),List(88244818, 9932040),List(4512102, 51768482),List(78587780, 50913612),List(90998593, 89630788),List(78353860, 801880),List(64465002, 64706635),List(1226995, 25639860),List(3396074, 18324802),List(19076435, 48674858),List(28530145, 74566758),List(97573385, 66278321),List(94429624, 91586218),List(63327198, 82019677),List(54233785, 8696160),List(26196949, 70801219),List(70605102, 33873636),List(50316816, 63542859),List(16867746, 29359406),List(45983123, 86222173),List(93731421, 42684139),List(47056180, 47987829),List(20816281, 86347878),List(47943170, 35643885),List(11213467, 6287821),List(6158407, 21380330),List(49991588, 81911107),List(43944966, 28859048),List(95433797, 57405592),List(69880171, 26536810),List(57450046, 80859345),List(42510693, 63643479),List(23205183, 28004661),List(58212447, 72545252),List(29887446, 90559908),List(2261804, 44278998),List(595362, 85843666),List(84477794, 35316256),List(17224794, 3886587),List(83248153, 64035808),List(84190738, 38635883),List(30718554, 87224292),List(84412370, 79742730),List(22958277, 379590),List(81689510, 96446080),List(45445471, 83046672),List(46543430, 83726626),List(46958530, 30716043),List(73981947, 53216598),List(95584764, 83416120),List(58540520, 35766726),List(83111121, 77867913),List(83193395, 78577741),List(30349476, 53405529),List(70082919, 11442403),List(95331308, 7165039),List(66725022, 59048595),List(59710253, 58736224),List(95544603, 12120069),List(18937481, 77766935),List(27572083, 51844941),List(93906584, 48336672),List(93482805, 45843496),List(72937302, 46845476),List(57817966, 76370377),List(17078386, 98106376),List(54954551, 3742966),List(47084213, 99872292),List(86517185, 48969717),List(9375122, 51284846),List(26519644, 4500050),List(67469620, 21380617),List(88183159, 7154606),List(35328878, 48041768),List(31004165, 54472459),List(17007822, 83272114),List(65334210, 47241764),List(75556582, 71941326),List(4661923, 80041547),List(51346986, 24964236),List(95281766, 92413866),List(62623548, 26953563),List(15247271, 48590526),List(53683197, 6147511),List(41175150, 43684709),List(53184915, 21351569),List(54897075, 69503325),List(28458385, 54542820),List(93428674, 76622740),List(86634202, 89225013),List(98935328, 81657267),List(1978520, 87072799),List(56280868, 38586307),List(79195425, 23582257),List(17882917, 39688981),List(2779509, 17548808),List(72384078, 92348426),List(78854872, 88311153),List(75588873, 98772529),List(24966572, 88674441),List(92317606, 94197178),List(33359253, 83351826),List(9598968, 88746874),List(96511562, 61586026),List(73464027, 57772250),List(84013960, 66641412),List(51153388, 18009789),List(33364848, 54873263),List(67128315, 62131383),List(13437309, 1976781),List(12216783, 1308130),List(93424162, 96257911),List(75043639, 70115043),List(33970511, 53942731),List(77768714, 90018718),List(45159260, 17820114),List(80672996, 83205505),List(16000221, 96626151),List(86840331, 21182887),List(12842120, 17886070),List(98015578, 94881035),List(28700308, 13275815),List(89027630, 56004029),List(36658555, 25312007),List(80189632, 37740873),List(96264432, 46582904),List(45124404, 40240014),List(80149909, 97159504),List(97735232, 7993649),List(60146539, 45480102),List(76727225, 30192114),List(29948454, 25702636),List(44640187, 64091896),List(61641235, 96697256),List(25842506, 94017420),List(93821443, 56151024),List(73994446, 19802090),List(39831765, 14233954),List(96962140, 88325184),List(9962138, 23930975),List(65174605, 11948040),List(94932814, 28602940),List(25664366, 33782741),List(87776134, 85850481),List(38869453, 69711781),List(94669497, 11777697),List(97488696, 76806755),List(23959401, 1587537),List(4799723, 50859041),List(71164872, 7793024),List(57155114, 90489903),List(68778072, 61521416),List(58733517, 76498914),List(81729456, 98272897),List(64853035, 57425017),List(10528728, 96255593),List(17341795, 8912200),List(3179843, 41252139),List(30185167, 15285892),List(47183180, 85649819),List(94167485, 41232115),List(19181316, 97574463),List(37994224, 45757458),List(46672954, 82949155),List(57227360, 74157322),List(2284259, 71500668),List(85204628, 40718906),List(27552910, 18890126),List(94884305, 40999596),List(62934259, 41283689),List(89670270, 7326593),List(12186825, 10173306),List(27266151, 12026932),List(68394922, 72955763),List(62020644, 21593177),List(17958191, 56661025),List(25151669, 97270423),List(44693119, 28596509),List(74658473, 11105245),List(78547057, 32466503),List(98776080, 8280580),List(33372594, 30876871),List(94306580, 19668806),List(27777156, 51028140),List(13931193, 68653988),List(39441598, 45090905),List(26796560, 67142669),List(98242389, 12070705),List(94086785, 62958563),List(66081267, 63459397),List(6188172, 39181905),List(74679703, 93612409),List(66295009, 63443710),List(84622526, 35279363),List(31808966, 85825329),List(15737991, 8531785),List(57872219, 7263063),List(33249401, 96333073),List(43884519, 47598677),List(90416772, 26039108),List(45758718, 32153998),List(22125039, 44675001),List(92337257, 67732795),List(3115821, 7397472),List(62580879, 61226870),List(68072641, 27036171),List(82825288, 61600313),List(70723819, 52310794),List(96870464, 54295062),List(62372717, 57823137),List(17676964, 34739519),List(18075653, 89879387),List(53019642, 61712559),List(28123632, 41879267),List(71287895, 97266614),List(84328644, 57556950),List(23129098, 86543945),List(51452972, 22627884),List(53711904, 48404733),List(38593012, 58602353),List(67381885, 14813029),List(66662492, 71143870),List(3097709, 91063498),List(85561199, 94892774),List(65574892, 39753727),List(63685921, 94394365),List(78344037, 90336115),List(98953252, 80160436),List(59028946, 51986229),List(42731839, 29686269),List(48519013, 58374585),List(93022014, 12238191),List(35363495, 20475418),List(67423820, 24500590),List(96587132, 46214392),List(58219298, 11130983),List(53039405, 19173554),List(53279426, 79521999),List(49443051, 8858284),List(43501328, 79348822),List(31998159, 98870889),List(35637940, 79245711),List(24416287, 66049428),List(49622814, 21613924),List(30534525, 44437769),List(20034771, 5213140),List(37280922, 43498711),List(38954023, 35141710),List(60856373, 72829645),List(23632523, 18774947),List(13287159, 85687155),List(43542254, 23602627),List(19274808, 70845730),List(87406245, 79349680),List(77892829, 11399452),List(55319386, 18726190),List(86298787, 18734178),List(78297888, 29992370),List(62152798, 42291544),List(78025875, 45297106),List(42888307, 23326922),List(95584593, 4444147),List(98458973, 43056348),List(70075509, 15520549),List(46488850, 39403683),List(88996772, 96909576),List(64120278, 96276378),List(10527858, 33199546),List(77175532, 25312968),List(77723445, 88636435),List(26956881, 37533611),List(66799764, 95290761),List(16049136, 50100245),List(55675845, 33119655),List(94945818, 99373198),List(30646406, 70061609),List(69814039, 28254435),List(48583188, 39429810),List(40250046, 29805583),List(97051185, 78899624),List(30355934, 89798177),List(82890492, 66110667),List(58101414, 77632456),List(5241188, 48166965),List(22817318, 7009812),List(90611760, 25522921),List(50756416, 22243450),List(11335474, 79805409),List(31842431, 3330914),List(83843088, 74245672),List(52402481, 2270996),List(77188373, 93712209),List(15330109, 25688754),List(23416429, 75403659),List(20788215, 94229218),List(40997420, 15119862),List(94279026, 76292779),List(93865018, 70131768),List(74329111, 56239739),List(52260335, 30780718),List(28597134, 71282647),List(17724520, 87861985),List(13349463, 73657473),List(47472783, 33978874),List(90750093, 11996329),List(87661939, 85663854),List(37553032, 55765527),List(92723702, 11106473),List(88424170, 77856582),List(7561575, 53724992),List(68791955, 7593489),List(60820054, 82931913),List(67631209, 61066118),List(25997573, 55423770),List(28209386, 17264638),List(33335335, 22721977),List(69025667, 76482675),List(1261989, 54839001),List(61781516, 73435806),List(23674933, 64755667),List(10841255, 13797517),List(49472411, 9167557),List(36314893, 44864404),List(21075638, 1714552),List(35368369, 56432707),List(89185443, 20805064),List(31548355, 56372304),List(38768657, 36401347),List(7875346, 46960647),List(8745809, 51128285),List(35350289, 14379911),List(93601932, 42420663),List(52506470, 61542861),List(75212647, 68973921),List(46056744, 73744761),List(78808489, 43803775),List(46857102, 17594371),List(86234542, 8821789),List(56312856, 60698697),List(19860954, 17610046),List(13751944, 8754725),List(12183574, 93713229),List(56824518, 8578400),List(42426035, 63411206),List(6018162, 85200342),List(90884180, 46185975),List(71245472, 42260542),List(66375489, 95965551),List(43113215, 57196522),List(68404080, 25147070),List(20909001, 51484340),List(20653864, 6873317),List(19709584, 66568343),List(47605838, 18517975),List(98187234, 44942973),List(46989838, 73428807),List(75328497, 63484943),List(24317153, 37498013),List(64632413, 58172857),List(43971110, 75093395),List(74062996, 43498178),List(5991621, 54133522),List(63658491, 55823106),List(97665755, 165146),List(77945649, 65246766),List(91429855, 13353591),List(52837, 34283527),List(20066376, 87856621),List(73372342, 51672243),List(30765805, 20068558),List(40053864, 82729101),List(63097357, 68740948),List(47098411, 67100109),List(31280132, 56538823),List(76413255, 75671740),List(82249687, 58243182),List(87942752, 28401950),List(45016037, 22480236),List(28069437, 53125944),List(28268408, 32942434),List(76284778, 43529535),List(66428980, 30909416),List(21733068, 42457208),List(57847135, 81528465),List(6097893, 48212564),List(38426805, 83248174),List(28022606, 48763512),List(5167683, 68882945),List(29328109, 9392247),List(94484624, 40184998),List(34731336, 40464805),List(34490527, 90011280),List(58238380, 35858324),List(52980616, 63006160),List(77053956, 82699166),List(51382063, 5593697),List(13846170, 11741339),List(91403675, 64211347),List(93253739, 98031123),List(73308118, 89943537),List(94194175, 77930036),List(60364801, 7847354),List(90041372, 41913366),List(50275641, 70023383),List(61998968, 9276243),List(83090275, 36418881),List(64379705, 39699265),List(45967258, 48981663),List(13199208, 79828692),List(29081877, 4388983),List(73225931, 27797724),List(66087684, 11607083),List(74196917, 18203648),List(6734802, 4734674),List(4112013, 60484840),List(18394739, 2182958),List(42469219, 70856258),List(5725463, 53078583),List(6799830, 3219940),List(32843469, 29948371),List(31155509, 64412183),List(1944896, 99011125),List(27785265, 33728262),List(33343566, 32502849),List(15405047, 63525141),List(61888094, 34776019),List(7321640, 93951785),List(43081524, 63132260),List(69064792, 75244020),List(64765575, 96138628),List(82264644, 44491705),List(96081597, 60371526),List(92449202, 99149653),List(54110883, 61450775),List(78881426, 48455555),List(16289406, 514238),List(30660750, 71097950),List(3697802, 9027190),List(50564573, 22749376),List(14754548, 99377081),List(57933657, 21352177),List(83921495, 76599044),List(6528231, 95575459),List(33272058, 84783583),List(91381474, 90521663),List(56030874, 55202685),List(66218301, 96495749),List(14002215, 85505202),List(90229780, 16239593),List(84084202, 36060432),List(61781353, 36978751),List(18235628, 44282345),List(38480819, 58484543),List(75588269, 54599970),List(28479209, 52393671),List(6518171, 21827248),List(93212218, 71782770),List(27498317, 70596092),List(63943118, 87686719),List(96730450, 43536714),List(21601725, 74282702),List(44308060, 65750757),List(69023936, 12104876),List(17520139, 38816707),List(66052618, 49228901),List(66298427, 35962654),List(2931363, 41516432),List(85349897, 77157680),List(27171487, 66314322),List(58057360, 66586716),List(40679887, 72599498),List(19574960, 46381166),List(16863301, 65530008),List(2760860, 39761731),List(75218931, 86370496),List(56565815, 17043978),List(21548355, 96560489),List(57524515, 35547682),List(25340376, 95061250),List(7770927, 1007966),List(91335246, 65604299),List(71130348, 95341267),List(77962851, 29883856),List(48481145, 96573871),List(36781875, 1364350),List(77892591, 71984737),List(9171147, 98976096),List(13238421, 40458097),List(57872224, 61761841),List(10431748, 20259373),List(95552326, 532437),List(38015865, 25678598),List(54536675, 33967340),List(80147426, 29451481),List(67660038, 43919477),List(17745591, 69470226),List(8098760, 90232093),List(70445365, 21809717),List(18688209, 39811509),List(57829071, 52096868),List(50449328, 46256167),List(46735387, 38633698),List(50228272, 36317734),List(26363488, 43054413),List(82808265, 6448311),List(53703772, 32813982),List(85065513, 73719910),List(22223572, 34614717),List(36320463, 25418531),List(17515596, 99582754),List(44947089, 29369294),List(61095764, 96774236),List(52317696, 6970138),List(86224594, 83469224),List(4053907, 34914809),List(59767586, 13462763),List(92270227, 1494875),List(31026641, 27944852),List(77090554, 41207500),List(2759559, 31990832),List(68098719, 92747683),List(36162248, 47392635),List(83887498, 86694480),List(92035576, 21367533),List(24511386, 7501871),List(92544838, 38219390),List(4630797, 71845497),List(81443121, 88502086),List(97518204, 64770134),List(47731824, 18986718),List(79973781, 99730342),List(29597298, 25942351),List(51828845, 10893393),List(47693030, 62448340),List(2394235, 55547708),List(5970671, 40576052),List(9419317, 59305132),List(84156094, 38044669),List(1336466, 75801503),List(67677128, 55600380),List(56531950, 50343930),List(93634152, 55658317),List(86152368, 73493709),List(34479226, 74706393),List(71592554, 79493141),List(83675322, 718285),List(31112407, 74335189),List(79314086, 16299757),List(5892308, 13152119),List(54216640, 56552894),List(88481636, 54387462),List(56888461, 18148320),List(63365009, 57765361),List(57899328, 89257058),List(46797645, 32863948),List(79033444, 11830903),List(86157295, 16796241),List(95393986, 8251710),List(72495950, 16659192),List(98388624, 89993260),List(71349855, 70765088),List(50901507, 46432320),List(67595430, 79575194),List(84505194, 51265415),List(28061609, 35127397),List(17286614, 24395565),List(8546006, 70100512),List(88331407, 81985739),List(82165767, 58415150),List(89709520, 96577761),List(75236546, 18068698),List(22821611, 808491),List(30900717, 43601638),List(65864073, 54533805),List(33776047, 11414659),List(14600682, 53721831),List(52474304, 47629038),List(53629736, 2344263),List(3281881, 98727391),List(12870967, 11067614),List(33349171, 13568354),List(75781380, 24053484),List(8838865, 78445439),List(93371457, 42049029),List(60173641, 80397362),List(45688816, 76643612),List(49024045, 73907537),List(20008351, 22518206),List(75743164, 35412682),List(44393789, 33394210),List(46147642, 69767084),List(17254375, 87576339),List(22580929, 33123082),List(99455233, 97858593),List(99991910, 55932201),List(29114110, 72944024),List(9695654, 73736503),List(65057381, 92743018),List(99792417, 92930101),List(17278617, 44638222),List(56779971, 36553076),List(2893795, 73516798),List(64618562, 8039264),List(38344545, 10615329),List(2998081, 35770736),List(72227338, 65367227),List(79949947, 65334515),List(81750611, 91744383),List(39005156, 55989049),List(29006707, 27042045),List(29049741, 57037011),List(19962235, 4834206),List(78054550, 14947105),List(31337901, 46754310),List(47812780, 10293354),List(31185995, 25664311),List(10621069, 91225419),List(65224708, 13664097),List(10445081, 6847012),List(92111119, 6911476),List(49441521, 53401595),List(83352191, 21167189),List(35393779, 43601511),List(93099079, 10056654),List(24266621, 25518524),List(5856061, 19749122),List(42294194, 90508078),List(69465922, 22828305),List(84944284, 31391845),List(87748488, 10721305),List(88910192, 79124328),List(44395065, 26735964),List(3800956, 7357717),List(11444222, 75418849),List(9214046, 50480727),List(5019985, 18629923),List(11563300, 59951386),List(38510409, 38661357),List(58988302, 7587022),List(72730286, 5141544),List(41769030, 75588896),List(88417425, 49931632),List(85885027, 16522916),List(68101260, 52033791),List(26672636, 23453413),List(66261655, 14079033),List(67986806, 2352114),List(10411159, 10386378),List(19790997, 39312431),List(57247899, 18025672),List(14652909, 47378424),List(6719419, 30007531),List(76410678, 36606778),List(46017265, 92607340),List(9180870, 84832123),List(13683370, 69953060),List(84132210, 51862383),List(5086633, 46147159),List(78896454, 56713637),List(19801491, 77327811),List(99505009, 17433458),List(31818269, 20422524),List(15929231, 25304290),List(18632378, 55699661),List(36524068, 17946226),List(29033929, 62526723),List(10684382, 29884926),List(44074419, 24611102),List(67006580, 45407505),List(94869467, 85523940),List(41788563, 64677262),List(80821889, 69946579),List(51580266, 96542612),List(61027259, 93092421),List(7117878, 58721029),List(62693045, 13609800),List(37574298, 41360846),List(37576102, 30439184),List(69309206, 65094760),List(59468729, 16904945),List(79222577, 76701099),List(42450104, 10878025),List(65355351, 69322531),List(96510893, 30659679),List(26825123, 67255782),List(64658271, 27069069),List(43295131, 43322784),List(40475532, 27176197),List(9451636, 23375565),List(17003586, 21207602),List(94261826, 24183598),List(34351453, 46927196),List(99550940, 97554783),List(398865, 86449331),List(43939490, 9748779),List(46425607, 67806417),List(92963707, 96034680),List(67520632, 67495979),List(26740268, 3729148),List(50162389, 30379325),List(6035773, 21981272),List(40591446, 69476688),List(95852038, 70531),List(68621801, 94870270),List(40898273, 40983280),List(70763407, 49044665),List(4594958, 44075509),List(66330340, 25090305),List(67032482, 96216226),List(63157219, 79770375),List(65611146, 65306941),List(24890307, 18575537),List(4012432, 51991430),List(35668302, 36912352),List(41029574, 74432523),List(82602155, 69099785),List(18304524, 66006932),List(1490166, 89356473),List(47848658, 12670253),List(7802697, 28976869),List(3549552, 21569579),List(56031341, 92103014),List(72952953, 44722005),List(76966388, 91990020),List(29699176, 38665501),List(44088540, 80582685),List(90887151, 80316663),List(59490348, 73627818),List(92174100, 94798287),List(53824589, 27160392),List(55383427, 53499577),List(57595790, 51835169),List(21577074, 10092794),List(21153924, 75400797),List(55962911, 54980792),List(66778524, 97476509),List(29365580, 75544658),List(23100020, 88476588),List(85768321, 99414985),List(29568159, 43208428),List(95705712, 46939003),List(44810666, 15572746),List(34249394, 63793123),List(72982836, 9800148),List(11513912, 1285794),List(24845032, 73713157),List(78377755, 94348363),List(68823600, 8701433),List(68081435, 62282229),List(14437807, 23805106),List(75089084, 9406214),List(41586524, 57068803),List(45574640, 95013152),List(45215070, 61808385),List(19415254, 80374112),List(26285756, 64612565),List(45387264, 96923727),List(90209307, 46304825),List(1773613, 84639534),List(39258865, 8847666),List(79070464, 908988),List(47200388, 30773267),List(84936189, 44010675),List(87512957, 63751254),List(21014261, 30938657),List(83719367, 24325756),List(3544234, 75922210),List(59329435, 78285687),List(23161823, 32134731),List(69510402, 8679350),List(78591136, 80295176),List(59272142, 68100124),List(4055203, 5676350),List(39255713, 94245792),List(51718749, 59205693),List(55345898, 10669560),List(1336682, 39625568),List(13826017, 9420262),List(29285126, 13411555),List(87288242, 2611670),List(29205981, 47606658),List(44114900, 48444431),List(47532100, 6601215),List(21625744, 62998746),List(78187169, 79021172),List(19217544, 93477525),List(28545799, 1326024),List(72148189, 42852928),List(56477118, 71483458),List(70251734, 4108235),List(57773265, 13358669),List(29286205, 82914890),List(27709564, 53300667),List(51159944, 79260256),List(9356894, 15102079),List(59308110, 28346729),List(24956515, 87535206),List(36637554, 26999502),List(15841207, 89188124),List(82118116, 92968580),List(79410152, 28919625),List(54121281, 89942068),List(71088798, 23524805),List(84036830, 19235185),List(78250269, 52637230),List(76493613, 4401139),List(60881598, 64403377),List(28431608, 38966883),List(7043887, 27186894),List(20378178, 71894435),List(55679210, 13009280),List(72504470, 48375483),List(24585209, 69764957),List(26562699, 43459806),List(68421088, 86631676),List(95970479, 5074587),List(55389077, 50119862),List(76361015, 44031898),List(36847244, 15210435),List(48880640, 8207186),List(16075803, 95181984),List(65217054, 38441969),List(5700627, 70922743),List(89276863, 32743650),List(7202183, 82810431),List(9776610, 20363955),List(11412034, 16436601),List(9912745, 80466468),List(75506054, 90955059),List(4382275, 19921416),List(62978585, 13937620),List(61817752, 87349026),List(56981809, 26691322),List(52910318, 88312604),List(7589215, 12374459),List(81058871, 9158860),List(95164503, 92121425),List(49388445, 219665),List(53608879, 45720752),List(34513524, 24643220),List(83517266, 63011908),List(18575808, 8846002),List(20026822, 76967320),List(54571378, 62451856),List(63129741, 77927973),List(68756, 44432355),List(53699112, 65875545),List(57745763, 75282106),List(30253639, 13866460),List(95069697, 72054683),List(38222553, 6729561),List(10064273, 27092339),List(99932305, 5371211),List(32459517, 43078695),List(54781838, 68378071),List(9507097, 36017672),List(25919348, 61978885),List(20383410, 40731768),List(60060973, 4979250),List(41490550, 58725498),List(40662451, 67260716),List(8791388, 69512037),List(6086773, 90328049),List(97197929, 12903239),List(19520623, 76235309),List(60828309, 80030401),List(53083683, 68335671),List(69905726, 34120941),List(80955985, 87734329),List(16609586, 11958321),List(3294464, 25478484),List(9121124, 89752201),List(19610286, 26469876),List(85012707, 37832028),List(20215035, 61011053),List(59718732, 39201598),List(92896142, 24406421),List(59396828, 81479217),List(89932484, 40059747),List(70208920, 78372631),List(76917981, 82125559),List(16212481, 72752680),List(45708508, 96689319),List(84596814, 8616402),List(75550515, 20534624),List(63896222, 9739973),List(34659307, 81522986),List(13317440, 9968),List(91336049, 90474254),List(45078026, 24265628),List(3736347, 43541072),List(35271182, 93444343),List(60679409, 67196497),List(73865645, 68902996),List(4832581, 74741774),List(16893493, 34351157),List(46326262, 66343948),List(32661973, 32257694),List(66051892, 78997294),List(54641261, 89366946),List(78856480, 52827855),List(61555084, 75089772),List(12299844, 65542267),List(94305780, 44469859),List(8421318, 50660555),List(61393013, 38766417),List(10837867, 73196426),List(64620376, 5605740),List(82155737, 88545984),List(58234593, 5006275),List(49773426, 59074802),List(48525151, 30341446),List(44113853, 15306846),List(7767357, 64327661),List(34862534, 31099272),List(13086681, 55856031),List(14905870, 90781922),List(27108443, 89618518),List(70151884, 53917267),List(38807695, 34764965),List(58466763, 91830319),List(5434886, 33875077),List(72149050, 29754379),List(37696258, 20819832),List(76363658, 71372397),List(93397285, 16957519),List(14084925, 67958594),List(11200351, 749817),List(19332780, 92249134),List(95952889, 38268451),List(70724570, 72881492),List(82337152, 4756130),List(48238733, 5376344),List(46321129, 47076870),List(74764553, 12706800),List(50033111, 43634988),List(47212302, 33863357),List(89294680, 89017572),List(33944665, 95537047),List(99253459, 21661679),List(86657200, 82877895),List(75212516, 41979289),List(26244481, 97343207),List(48672542, 25079894),List(23564232, 56546345),List(44339702, 24290387),List(55668184, 37685168),List(51676477, 42583332),List(89238723, 92488435),List(6018936, 9859574),List(93474751, 36266400),List(57582064, 10535331),List(90234838, 3615123),List(84423953, 6642854),List(68270993, 87549783),List(15081026, 2037462),List(51760215, 80849439),List(1440705, 84631657),List(6804002, 71493919),List(69634244, 11651517),List(87332870, 39186146),List(88924370, 16156562),List(39014653, 94022445),List(41914997, 43689497),List(82226394, 53599445),List(85206551, 62148572),List(54150980, 5532760),List(6580521, 74944316),List(72525777, 71869205),List(57095243, 86826503),List(54818820, 28582339),List(81139329, 76280942),List(26385164, 9934751),List(7637074, 12249450),List(99842406, 15841804),List(36756340, 66748460),List(21787028, 29086974),List(11904824, 16456457),List(58198357, 19014808),List(29852719, 3820920),List(81720744, 93045193),List(42528022, 15411709),List(14841255, 26506751),List(96796340, 48105972),List(21378508, 79994895),List(91324935, 9259322),List(41988754, 91627430),List(28224029, 39428627),List(64059638, 11644036),List(50104758, 349582),List(33203030, 44575081),List(48712425, 58255019),List(1791002, 13528825),List(49216997, 70812532),List(1337558, 40086382),List(25727177, 2783284),List(46142767, 48700552),List(50009236, 15720039),List(10211575, 62403985),List(46800049, 78749126),List(50200403, 87097806),List(244720, 35313389),List(31237884, 69318111),List(79138599, 47602166),List(26266181, 48217292),List(77680595, 17263749),List(25222475, 32259937),List(15145407, 64700239),List(33551344, 40626046),List(61410994, 10632888),List(96244339, 82026744),List(32352212, 14131868),List(90884559, 32544421),List(84248519, 78891628),List(86601812, 51290755),List(63341211, 45743093),List(5427136, 15553493),List(72055145, 28546188),List(88188252, 38014633),List(70316511, 55131),List(65942904, 88272307),List(75997536, 31423134),List(74912228, 47176228),List(92340795, 50071241),List(66531278, 51719199),List(73426929, 35437520),List(30388561, 33882687),List(45345567, 19754833),List(65631188, 38418929),List(4623424, 73660349),List(30792022, 27581804),List(57273113, 91494241),List(57710627, 63835923),List(46121539, 83161352),List(91311141, 60765514),List(98839241, 98756697),List(65899344, 39840824),List(23439560, 5793714),List(11330278, 45026543),List(21551798, 63685054),List(77692973, 75190829),List(23991836, 15644272),List(19845269, 31863657),List(86491196, 35665802),List(34691240, 64281099),List(4162765, 76416281),List(82982747, 9428272),List(28223111, 53124315),List(59743531, 98043374),List(67302552, 73579365),List(19998941, 66776498),List(1435303, 84603915),List(78420001, 6218335),List(5817772, 5278570),List(37850162, 2552643),List(22287393, 21370423),List(57333777, 30013407),List(65051197, 26946656),List(44779179, 14466926),List(93064783, 38966998),List(19455560, 33036944),List(87198865, 17871668),List(49430034, 39400720),List(33199634, 43598801),List(94131871, 92925263),List(38431229, 25938675),List(26572277, 46765589),List(66941203, 54248452),List(64716363, 39386259),List(70496169, 188234),List(68865083, 98408118),List(68733199, 25356439),List(97562051, 94971322),List(80629031, 60180408),List(64904691, 44188632),List(89816597, 44861200),List(69433217, 57731617),List(19505499, 16656714),List(5557597, 91517318),List(56194773, 81250562),List(76318636, 25689072),List(755863, 25286253),List(31680608, 46063689),List(25154649, 86000021),List(90059655, 93446458),List(81196291, 3065856),List(1615808, 89437694),List(90971297, 65207753),List(89880223, 93612250),List(51616389, 98809387),List(18101323, 23409739),List(82944318, 83247602),List(4938164, 97123960),List(60053842, 44968364),List(89665071, 29416323),List(6101680, 2706711),List(37027712, 94650733),List(47104186, 48367121),List(41533933, 37749443),List(11762201, 36394413),List(7358461, 26442549),List(37126190, 31340105),List(27971706, 51043415),List(8329249, 1845584),List(2925474, 68131010),List(94674556, 16791968),List(35038712, 76214257),List(87213462, 60672609),List(83536596, 37668471),List(62856336, 33959968),List(81895018, 2158809),List(13005023, 25796),List(35444344, 74131392),List(98653402, 79766865),List(48955051, 60608667),List(30498499, 65781243),List(57771574, 66621417),List(13000909, 97557783),List(4726366, 58473201),List(64062439, 90708870),List(18114364, 60397430),List(39397857, 95450332),List(20315585, 42192416),List(33728856, 12367790),List(38136748, 60671321),List(75320670, 67564631),List(96124407, 7077488),List(19913378, 16224855),List(14355104, 97330695),List(38513766, 48852445),List(78265092, 60514184),List(59035980, 6315514),List(63930441, 60147543),List(84817574, 96911509),List(9330005, 30532303),List(91327723, 83889202),List(12828573, 19529470),List(42731902, 49212739),List(45278016, 2926480),List(79376391, 34006244),List(66842011, 99971555),List(45325679, 34972246),List(4241324, 42208397),List(6071149, 12716703),List(28805888, 12722853),List(65927693, 61364979),List(68277789, 30341105),List(75684474, 41400246),List(67086286, 55308930),List(93369095, 81746441),List(30250247, 80458315),List(45939776, 94970673),List(150053, 53111083),List(81350349, 19810638),List(92404601, 67087289),List(93823791, 79852152),List(41725231, 8876672),List(25500108, 98323585),List(48779536, 66187058),List(80664950, 88000736),List(1307584, 34974748),List(45412191, 69951484),List(73111710, 86135748),List(75863631, 87642781),List(27814618, 96135101),List(1059013, 19751726),List(30827569, 7713092),List(84601384, 4339286),List(18940548, 99160453),List(94248674, 20004651),List(56823648, 51781316),List(2266360, 15294732),List(48288307, 14608732),List(47361205, 65938318),List(6782950, 37142749),List(33065503, 58420642),List(92882070, 78242952),List(69963787, 51974590),List(22258494, 63971688),List(83126276, 39256727),List(29261268, 51597968),List(12995598, 81990285),List(35482220, 57280763),List(26555244, 28892155),List(91183326, 46651767),List(1041282, 51520034),List(36623247, 26059526),List(56845416, 25156530),List(10764250, 56905912),List(62492868, 60927054),List(77900524, 13503986),List(22424953, 41681508),List(26802242, 78794828),List(3968149, 34652202),List(50554552, 51558623),List(83763512, 79386957),List(71370359, 72359201),List(29431053, 26395794),List(95449696, 19744583),List(58486962, 86738427),List(16409178, 80169574),List(46500434, 3964662),List(37728200, 36059648),List(85165104, 16968855),List(59160700, 44838428),List(69020738, 36908308),List(22850380, 64514567),List(25011942, 9901698),List(82526395, 97646466),List(36099524, 45238901),List(8770657, 46695859),List(5317282, 32046026),List(71569150, 2962217),List(12380650, 97977149),List(62502872, 88512569),List(52896765, 69891642),List(55805899, 61882376),List(23725200, 59159575),List(79574201, 10012238),List(70971101, 52246625),List(80830614, 2389084),List(88747593, 84243114),List(52955757, 1772326),List(31869276, 46537731),List(21580099, 25629361),List(77448581, 58706223),List(80464308, 38708338),List(97104301, 55576598),List(67710888, 15605960),List(9118666, 94691979),List(17980097, 46151975),List(76130828, 31636853),List(56556074, 8841229),List(26294362, 53550462),List(78811955, 15890547),List(76926510, 9016828),List(84088848, 54048367),List(80321685, 7181073),List(48172562, 80299078),List(38015221, 40423704),List(4970643, 3127894),List(36479430, 5416017),List(2971239, 66384492),List(86286568, 68131141),List(66948047, 84505658),List(80618050, 31570257),List(24737064, 62815832),List(99729551, 35186171),List(39596594, 277723),List(55881948, 2036461),List(4350093, 68491219),List(81005756, 1443186),List(62928765, 37960451),List(70295007, 18643180),List(29940702, 28272318),List(12315525, 64687129),List(10823770, 29981823),List(34945028, 93570353),List(50284154, 60573611),List(48577085, 59348415),List(86443173, 73060836),List(96925536, 63006414),List(28653043, 19180030),List(98971494, 84177142),List(26486572, 70111788),List(52764, 79958048),List(1853520, 14325385),List(2869607, 2308824),List(10319621, 80653797),List(36741563, 12618307),List(53456088, 93317007),List(52906045, 35128097),List(23047684, 19947895),List(17094077, 75341005),List(86791177, 13798246),List(93360431, 83209639),List(75973053, 280010),List(51989512, 22949262),List(12382327, 35174817),List(96702394, 66789379),List(8978802, 89600843),List(35814723, 73939089),List(55015409, 18054815),List(78508565, 39776634),List(48377048, 79153330),List(1283724, 69290687),List(91502893, 69118692),List(66517302, 41011317),List(88713588, 89569801),List(53227714, 92828919),List(86824394, 93576292),List(7495407, 80755496),List(56711607, 3216489),List(15365248, 82467844),List(59485804, 85981326),List(38850176, 62670927),List(79162409, 8940687),List(49592936, 28322850),List(17561003, 91043418),List(88390914, 69594835),List(33904696, 32250095),List(34542179, 32534089),List(86170232, 53903529),List(54418755, 45737023),List(57942641, 26499212),List(16267575, 26122780),List(67519235, 51041380),List(75422946, 79184175),List(99073959, 40055294),List(30437716, 6442655),List(33660603, 16921888),List(96794164, 351847),List(45911020, 59559022),List(49834871, 95344813),List(64237529, 40594617),List(3598512, 80992473),List(63348525, 73419352),List(6573749, 98542494),List(62530400, 84922034),List(23640360, 68358909),List(56652312, 37181628),List(37585216, 68987746),List(24401780, 78228714),List(62431213, 90044855),List(22453427, 85745066),List(47843094, 81894405),List(85884458, 84471124),List(30801701, 58890940),List(98914536, 54744221),List(83169473, 72725876),List(75802219, 97858921),List(3920400, 34369767),List(66832847, 80421696),List(23101222, 31206118),List(80846069, 14497677),List(76296955, 17523449),List(38575881, 1799573),List(48588182, 15801792),List(87079696, 81684982),List(94836692, 21574248),List(25983426, 46329526),List(47148408, 9488312),List(2854024, 91458610),List(34585440, 19219550),List(65340212, 85562324),List(48744541, 39812365),List(6790399, 77253377),List(23101139, 19729510),List(39263538, 11690945),List(27853952, 80287546),List(86045266, 78641368),List(82234889, 66890736),List(47078908, 37503265),List(79140801, 34168769),List(20772481, 70427950),List(94364593, 28559717),List(87722806, 84115510),List(49232476, 33840657),List(90984928, 51335771),List(75872726, 66285007),List(69714036, 86994957),List(19316469, 66374011),List(36484067, 2476388),List(46220200, 7233123),List(17038345, 85519002),List(39658835, 77191085),List(39165107, 60731815),List(43888829, 43285271),List(21106881, 65388905),List(28379544, 29818678),List(91558883, 62009055),List(50166337, 60883682),List(87893931, 24197365),List(83834196, 53385454),List(97631361, 96299184),List(57920948, 39728479),List(25335023, 10011074),List(47074060, 25382378),List(45968131, 89807863),List(84149763, 78924222),List(34760566, 70044385),List(7407541, 52096268),List(13087483, 34305423),List(84518346, 98347373),List(41191768, 20120102),List(29103269, 88818704),List(29245541, 32488775),List(79859457, 84692098),List(6179865, 15823397),List(28324125, 25298478),List(88998869, 95001005),List(14995201, 55846804),List(81067361, 69276949),List(8388555, 11124953),List(97902592, 64025487),List(15298226, 59428438),List(99624581, 13936063),List(45421830, 95605145),List(811010, 76992543),List(75819022, 74711513),List(22786115, 14133028),List(85574377, 39672570),List(38396437, 6352137),List(55900396, 85406323),List(61083853, 82594841),List(42250597, 10700840),List(19524212, 68997604),List(31090130, 67338814),List(7843841, 96014213),List(10510513, 40558426),List(76255732, 86921172),List(20719092, 365072),List(93565468, 3261680),List(3548587, 99553677),List(93505538, 27849781),List(77152062, 36514640),List(20881231, 4323950),List(88972509, 16727269),List(71006588, 19639205),List(35736789, 76409774),List(94594848, 62469550),List(83687318, 88807978),List(61611777, 30485666),List(33141938, 70421014),List(28028435, 74767235),List(9288734, 94048864),List(88478054, 19910457),List(55445471, 36137211),List(38438214, 24331200),List(15759792, 36387068),List(80570893, 54369647),List(19284642, 18633096),List(94842300, 55425675),List(976656, 67238510),List(35247386, 48603762),List(28187392, 84713789),List(31911913, 2696082),List(33490450, 89453994),List(61960344, 90011267),List(13707229, 30400992),List(43478553, 89099802),List(46047139, 86483811),List(73638775, 53369670),List(46750650, 99642291),List(45997039, 91159764),List(40326026, 47617447),List(67146488, 27943870),List(43357380, 68215415),List(82794779, 27685602),List(18913438, 41022497),List(86451675, 74684677),List(46743513, 79011288),List(65722050, 85080587),List(92225623, 93772174),List(44212321, 55548895),List(53147509, 36488130),List(53351533, 89088650),List(3164999, 39921867),List(77855249, 4693935),List(73807530, 34074789),List(81358529, 21624310),List(55526607, 19254397),List(46916243, 3774420),List(43846787, 11183748),List(22955051, 76814739),List(11062962, 54303566),List(4059297, 53280704),List(89523857, 97926939),List(16472204, 78516351),List(82715703, 20742830),List(48683008, 58987200),List(28546953, 81833030),List(43734998, 84791900),List(96274760, 49908733),List(90764234, 88275856),List(57206266, 22130617),List(48491738, 81173722),List(55374524, 75818087),List(30758358, 61465037),List(29084776, 37416429),List(37734355, 35511180),List(63916456, 1411585),List(74232259, 43493071),List(13074516, 45335314),List(8099736, 52506490),List(58174446, 75060596),List(11272241, 65645397),List(33710215, 78169713),List(55807992, 27801040),List(65840933, 81302682),List(44960236, 94678188),List(72358523, 44130006),List(30410492, 21551064),List(54201550, 47239700),List(56883688, 27600087),List(59723911, 32907256),List(53425643, 39078757),List(84416834, 23914776),List(9259341, 46048824),List(99916777, 83002129),List(79733094, 94835328),List(4996662, 90057028),List(88717506, 29459995),List(95767536, 28418711),List(43044291, 61344211),List(75959190, 92463986),List(2589436, 76811401),List(48974320, 35856304),List(66198969, 8979818),List(53702763, 52158907),List(50540087, 58042839),List(59322009, 12585130),List(17676668, 97040206),List(67411913, 26017350),List(65373016, 29964185),List(21734883, 56213608),List(67459270, 90435175),List(41535773, 42135002),List(98165725, 36205730),List(69006683, 36698545),List(91266043, 64459257),List(46704834, 78375547),List(44022700, 53706010),List(60498888, 23301605),List(19408809, 59750929),List(96964742, 16921564),List(8903221, 6624943),List(83136454, 43134263),List(93821470, 40959406),List(96698727, 97724736),List(48931698, 55707776),List(22182099, 1042657),List(1002723, 80230374),List(6806632, 49336164),List(67926974, 12462493),List(26903154, 78036330),List(11959395, 26130920),List(57547514, 92526393),List(68802552, 82375284),List(98970097, 48257586),List(34466637, 89284213),List(14728349, 55450808),List(9356436, 69458719),List(53523003, 26940700),List(81672316, 67521862),List(88499872, 26848155),List(71802240, 62278499),List(40930566, 57281981),List(91685281, 46591006),List(55353829, 90537557),List(81206031, 85709539),List(80752167, 92417554),List(57042820, 45667150),List(62757244, 59284495),List(13953635, 43265927),List(42466804, 53231260),List(44786116, 34199076),List(61751071, 75589341),List(65516156, 34081925),List(56588790, 16971022),List(26126087, 15799403),List(15061493, 55289314),List(20435159, 65976179),List(43692552, 53752700),List(68557924, 69679411),List(12503637, 65660904),List(7471799, 62391256),List(40180861, 55299991),List(34365153, 83016543),List(77980648, 88971131),List(59789605, 88506284),List(74353493, 11671743),List(25261120, 58558785),List(22362065, 84668563),List(34239636, 33104568),List(19445880, 9660769),List(21614233, 37461628),List(37775322, 57770913),List(28063238, 45679955),List(6797391, 77193828),List(42131181, 93277327),List(24919891, 24417074),List(73653968, 92094755),List(52039159, 40619980),List(67158491, 70606894),List(41320453, 41853201),List(31613658, 26414491),List(28533080, 69272695),List(39008587, 19636555),List(992963, 15821075),List(95710778, 24165071),List(96632313, 60453911),List(27175495, 27131257),List(58097666, 64553393),List(11520865, 62138172),List(8012440, 82822851),List(38179243, 43036996),List(71691420, 8925087),List(14477262, 46346870),List(50022321, 85708385),List(61370829, 7427487),List(33281996, 53799658),List(13335466, 82556893),List(68689092, 32908371),List(80779017, 63768790),List(15784784, 82157909),List(15403526, 69875050),List(15961221, 59372779),List(33412044, 6094095),List(53658479, 15517292),List(25225569, 79957121),List(88616054, 13675507),List(97528752, 20999364),List(63371641, 70048549),List(63366367, 83506615),List(78565546, 28136750),List(67645312, 64664114),List(8118018, 99102714),List(39851904, 96430660),List(76065939, 52910308),List(38552728, 82703768),List(64982088, 69939798),List(86930950, 57538398),List(65020771, 55993408),List(52058869, 75793940),List(83986450, 49057114),List(58125484, 44631086),List(4813754, 86080825),List(31319284, 10758218),List(77689292, 54044643),List(17317027, 37790026),List(5557570, 97549728),List(20790232, 73731440),List(18846615, 95293604),List(17027156, 89677173),List(13451573, 61036274),List(69757706, 58987015),List(97545002, 86067845),List(11497392, 69557227),List(79395638, 96816077),List(74139040, 67787687),List(21966509, 42784171),List(40443471, 92535917),List(11267758, 1656137),List(74600639, 82455126),List(6868586, 36677122),List(23670874, 46153274),List(43453725, 18880107),List(93088615, 27486809),List(4976230, 91438831),List(47846759, 33373834),List(15449250, 72741236),List(23614953, 18007328),List(93987245, 69171185),List(95160555, 47147611),List(59741993, 19168329),List(70778753, 49056567),List(91007243, 53932950),List(97427467, 70386486),List(34399688, 8798612),List(9045794, 54483140),List(74343731, 63438034),List(16225685, 10752985),List(16683267, 89990061),List(19461892, 58923294),List(26242805, 76138316),List(1146958, 27456390),List(71542248, 64039638),List(8897409, 51340417),List(27522938, 72170225),List(24587027, 82889115),List(31609374, 37755980),List(83172418, 56181815),List(29769227, 8695277),List(47377548, 49301538),List(88939020, 69063114),List(87235303, 32458497),List(14325977, 69005218),List(54171553, 73906845),List(37687292, 52639466),List(70823028, 61773324),List(56702147, 7629506),List(33682101, 42960324),List(60290689, 4451302),List(20483632, 27230405),List(43241296, 74732024),List(18462118, 35476242),List(15275167, 2185742),List(5795138, 87652115),List(3133326, 32158227),List(45580869, 13913112),List(12890826, 37687275),List(69096711, 55504050),List(66687277, 3577951),List(85864804, 31537736),List(62975072, 5572728),List(26002517, 75923500),List(77753703, 53460191),List(51981079, 9656064),List(46394240, 11711482),List(76336864, 75653630),List(72572214, 47374591),List(3815252, 56541892),List(96415970, 19362888),List(54820678, 75640884),List(13459115, 44459973),List(38224729, 2587006),List(20503652, 37779275),List(66555292, 63589357),List(43292251, 80698581),List(80244307, 92903284),List(51196429, 40461800),List(2359413, 13960579),List(45449337, 56762257),List(6255493, 94133940),List(33318797, 60694884),List(8252392, 12539563),List(26158617, 83534047),List(70533529, 2140033),List(17752128, 1664995),List(14767766, 25507113),List(11265351, 34371250),List(61799785, 13037243),List(47113058, 97668948),List(32701672, 4230658),List(43807714, 45294141),List(3751773, 31554327),List(15791841, 19784856),List(6367473, 66452224),List(46654871, 64601567),List(62217603, 93265188),List(10912458, 98606622),List(60215712, 59709124),List(10904083, 53846680),List(47040748, 3464379),List(75125767, 13993377),List(68580808, 76680104),List(75385141, 13936367),List(25834413, 43112621),List(17697736, 22496618),List(15462092, 52148847),List(18859960, 36350787),List(37571014, 51594289),List(5647883, 10284304),List(93544355, 3753970),List(32349428, 60858460),List(43866328, 88316235),List(55205205, 91062303),List(86846801, 31904531),List(80712274, 72251396),List(71930314, 83691972),List(37871428, 40270380),List(55111574, 25618978),List(3694261, 75275813),List(97491640, 47791347),List(52329618, 69476500),List(25265758, 11943986),List(11909501, 93117066),List(36020959, 26479853),List(96971844, 3880777),List(56100689, 49347718),List(14066516, 70026078),List(33103052, 94437869),List(96486115, 34998481),List(56495732, 68157726),List(53170073, 58459531),List(19445863, 61975277),List(35948081, 84195873),List(92461694, 37205707),List(5673876, 97477453),List(6118211, 44761591),List(34291711, 80128645),List(24501449, 4381802),List(20868396, 30162764),List(14364856, 11717224),List(55876299, 87959679),List(20430537, 95336475),List(68341123, 44598909),List(48330919, 84614576),List(82928920, 47346972),List(24875251, 74996531),List(61506003, 40579213),List(16836458, 56145179),List(81824155, 86375323),List(52347005, 18101081),List(34623158, 94806419),List(96226111, 39552172),List(66156378, 14751039),List(7396488, 19425965),List(63530331, 44409515),List(94023144, 54614876),List(12436218, 2664567),List(83358671, 70088169),List(22037347, 32410834),List(64121206, 77455899),List(19572542, 92432901),List(42730128, 92096254),List(86980451, 34952715),List(18066323, 96591501),List(37871019, 61752500),List(66993869, 35803552),List(59032577, 28812455),List(82259753, 71195274),List(21143210, 73068216),List(65783784, 8144140),List(27805002, 10506134),List(12627053, 58840345),List(58853752, 23549425),List(27230146, 10485710),List(11079608, 76179888),List(39849224, 60531400),List(60667497, 95365681),List(87730677, 49777619),List(68373712, 11649383),List(28242743, 66647696),List(82826247, 22049998),List(88827787, 39638749),List(17876232, 66175083),List(2930140, 20405441),List(98651737, 98798616),List(51683736, 69696903),List(51886497, 48377508),List(24611505, 33557339),List(44424728, 63841794),List(93033778, 92910864),List(10851552, 75067336),List(99847750, 23311317),List(97236746, 83612372),List(33004334, 62040747),List(77691013, 68237272),List(79326417, 45281156),List(99977290, 44182031),List(68740755, 55991057),List(3042874, 45199533),List(87586028, 72247935),List(39392280, 87045561),List(19088642, 56154688),List(31144509, 46125910),List(53159192, 34751466),List(3407402, 6959438),List(72102005, 84359483),List(48958970, 99404315),List(71031389, 97742578),List(64220982, 70230161),List(97460140, 98843099),List(96423656, 58061252),List(14895350, 40585347),List(79505093, 42869421),List(18618292, 8558059),List(65649641, 15857538),List(98108639, 28969365),List(24661454, 31944261),List(69611653, 73604002),List(9214754, 5984762),List(14018063, 65535869),List(26029964, 70174401),List(26051620, 15780814),List(76419467, 35154940),List(74961438, 164468),List(63379552, 3476741),List(40249050, 56673789),List(2540286, 96761121),List(71248023, 21021159),List(18206060, 29245205),List(55015307, 40476881),List(36074656, 32343336),List(47400661, 53795605),List(77303710, 54225627),List(29836177, 39387691),List(31228362, 79106906),List(71442893, 45308463),List(84052230, 75535989),List(81092080, 44362093),List(38465710, 86642841),List(7045323, 11449131),List(23164476, 75193229),List(98278037, 19757949),List(30736881, 41352433),List(80167064, 97057485),List(45070754, 2692277),List(52567491, 53574444),List(97506320, 83517895),List(46266566, 87152720),List(20020440, 45718250),List(37599902, 29747152),List(49010419, 67432215),List(92315612, 70665276),List(66021332, 99962335),List(86886893, 99102992),List(53721156, 96486032),List(67314643, 6539310),List(76506285, 83586688),List(26690536, 36018352),List(12143559, 1926098),List(83503306, 86013371),List(72635498, 85137805),List(24900424, 14635487),List(8629839, 65153314),List(22515205, 73082324),List(55444536, 63694616),List(43078848, 49423542),List(97352068, 62682890),List(32627073, 18980714),List(68565968, 42645383),List(39022050, 60492183),List(47574983, 6915853),List(53601565, 24260217),List(74209268, 68946091),List(74535997, 3831653),List(58111829, 49967065),List(63852007, 33717447),List(49773981, 91513710),List(31414579, 21257666),List(69305965, 73064233),List(6444598, 78440590),List(92030378, 40547704),List(90182277, 41770068),List(28742897, 37246448),List(610814, 23809649),List(84723720, 8484919),List(23567798, 66224811),List(840430, 31402592),List(30123588, 37199364),List(66459605, 37740677),List(55647515, 58530526),List(24339741, 16487606),List(83261554, 34133757),List(76013387, 80251611),List(95017307, 26469956),List(25834586, 36407602),List(98154296, 88820641),List(88210517, 39172296),List(75393794, 72991481),List(38738618, 16493685),List(35591725, 38940748),List(48126637, 32291691),List(37547881, 66304292),List(54365048, 69549060),List(95476644, 18583533),List(86475558, 71625138),List(17068088, 90366503),List(71400084, 58308069),List(63171409, 54160488),List(48764619, 1081467),List(40614374, 80257126),List(36194460, 38248830),List(61196744, 44220281),List(6248609, 18049407),List(82846770, 34333904),List(24468022, 55832650),List(21195498, 94165872),List(2406837, 73176846),List(61345184, 70438543),List(85930716, 36613378),List(78015047, 37481847),List(14807116, 56236291),List(20832046, 18111024),List(64608480, 56886201),List(1662041, 44412736),List(8073688, 26792673),List(4771260, 5052095),List(12784243, 42697969),List(83290978, 38126768),List(10179442, 31306143),List(13142156, 42372212),List(54929728, 74095272),List(32612876, 5705764),List(14496366, 45449854),List(66406933, 9196637),List(90734078, 46724897),List(4023328, 50324429),List(20561262, 12599806),List(84843088, 37447813),List(82027363, 86278356),List(5670116, 10272109),List(98371484, 95200697),List(78625457, 7391333),List(81756129, 84261751),List(22839158, 5180457),List(2083611, 40627276),List(61514676, 46323283),List(91512549, 42818452),List(76063733, 53257653),List(95545340, 78350704),List(22256040, 54615573),List(44034248, 79924512),List(25090241, 43143007),List(6827232, 58356504),List(24393264, 81938464),List(55679871, 87266208),List(23235071, 18571047),List(1771086, 46633783),List(64922456, 98713610),List(14799370, 60499384),List(83881002, 39890556),List(39694443, 764254),List(75216249, 95306570),List(54146090, 2337348),List(64661646, 40634654),List(38151576, 84122097),List(67016567, 56733686),List(62503902, 85591336),List(48478691, 89291676),List(28066729, 52846089),List(28820767, 88197594),List(83195003, 97982473),List(34729393, 91951187),List(85926096, 75071683),List(31551455, 92995515),List(29890227, 57275864),List(34168404, 65808631),List(62448077, 65079831),List(53406285, 2160150),List(61010310, 90954800),List(44005219, 17413867),List(70553220, 18867297),List(60860417, 23446656),List(72891439, 81251255),List(65653891, 32574025),List(40730026, 41020637),List(92422248, 1377011),List(16130825, 54404598),List(13485720, 57854381),List(50202486, 95926429),List(18133159, 80435571),List(49620052, 77719408),List(15578098, 29590530),List(9381138, 70760313),List(84717489, 46814326),List(26645373, 90595379),List(47014890, 81020832),List(94408897, 9732150),List(83488740, 29633809),List(94899399, 7690760),List(21672900, 30238712),List(84644462, 14414377),List(18076454, 50241954),List(91066110, 13011408),List(3902286, 72944987),List(55546545, 75351168),List(47391558, 8735821),List(42853041, 68342595),List(29424761, 93612740),List(64464478, 71476730),List(34834585, 16560849),List(64733643, 33833516),List(87728903, 60917373),List(41379086, 35751272),List(8815728, 4059983),List(32531317, 56633909),List(1010051, 15680553),List(63872131, 46291925),List(98811433, 16118817),List(26836964, 70844702),List(48180423, 68311881),List(11235127, 51267959),List(3149380, 1925542),List(83406060, 43767412),List(2730534, 63365659),List(21058133, 70960650),List(49829976, 61123423),List(31589087, 69413093),List(81939385, 79351039),List(19865696, 84951855),List(28421581, 90994287),List(56723931, 59452002),List(61334428, 79846649),List(17106185, 90905665),List(1202801, 5634539),List(13509911, 4189363),List(98688355, 74024823),List(36938832, 33754435),List(38654217, 24898413),List(62064268, 97681403),List(34100379, 12915989),List(99007288, 65270322),List(82459170, 60205162),List(46904781, 10031749),List(87664141, 23745880),List(72870096, 27664812),List(34879759, 87844126),List(24802083, 75239419),List(48384318, 80450369),List(83073523, 53874435),List(77432180, 75396534),List(44141845, 92755885),List(29281162, 97462382),List(40250437, 4198114),List(65211085, 24797209),List(93793720, 98175540),List(21625968, 14683513),List(1024272, 17916291),List(46266642, 4623898),List(58108465, 29767245),List(15283058, 93124867),List(90271085, 30145953),List(1961831, 38533925),List(53760648, 6570253),List(1360563, 66711225),List(43058383, 18958070),List(62584369, 23344407),List(67294443, 79348355),List(47296882, 38879877),List(90674667, 45094203),List(55319019, 61034415),List(38370559, 90164680),List(17719111, 5718793),List(15964736, 87743923),List(78552900, 43399747),List(98846243, 94726387),List(70219277, 77229851),List(2229988, 82898200),List(49049755, 94632340),List(47170388, 97784517),List(55466764, 5161769),List(29596676, 62506937),List(53912871, 65332660),List(39597912, 72551558),List(59891589, 27144964),List(67161262, 12426733),List(85565593, 58249982),List(11158697, 15219272),List(9773962, 6183617),List(3897695, 83628637),List(53140623, 49222775),List(93122660, 20562759),List(77650314, 67785399),List(61639385, 6642930),List(9788578, 37852056),List(89743279, 30655147),List(64029770, 19923312),List(7730850, 96046649),List(45033488, 75488412),List(35402606, 16350304),List(77773317, 69469952),List(72964019, 25006847),List(33444258, 43673354),List(49026054, 24539582),List(88314905, 48459202),List(24712026, 70083790),List(40078411, 24662495),List(50949056, 3803660),List(88420133, 64720168),List(38387946, 11106039),List(19661126, 97132680),List(7310627, 31257188),List(26643194, 46099554),List(63074152, 9448386),List(97671259, 34491631),List(13117716, 66165121),List(43165168, 74472490),List(31531592, 51159629),List(70746937, 81509273),List(59288289, 7874950),List(50597818, 79939126),List(19308295, 21139219),List(70768402, 98199002),List(52387956, 20823843),List(60181956, 5600081),List(58672623, 97348916),List(38858931, 7466155),List(14193302, 20081463),List(93628941, 88950082),List(2228245, 44031520),List(28977811, 90989069),List(65537315, 18345706),List(9815501, 88175129),List(77356245, 67432811),List(57521196, 17473797),List(34939406, 61950731),List(11760923, 83238613),List(67717965, 91798362),List(36488613, 93574116),List(80128023, 97545971),List(11765946, 82909533),List(77205343, 16713670),List(97636302, 72694697),List(14679975, 29446266),List(29569231, 14489806),List(48979510, 62115335),List(92904294, 13700937),List(34083185, 96295739),List(37381489, 58012262),List(86236703, 97345594),List(20219562, 94988747),List(82243092, 96405794),List(75072688, 96427920),List(95974482, 67415647),List(96583776, 41662836),List(2129736, 8095135),List(82760514, 12444433),List(74168199, 58198029),List(90253674, 43190514),List(90885149, 22940775),List(34875110, 73067225),List(62529793, 47559512),List(72709616, 15284561),List(77832999, 42684917),List(62339844, 42642633),List(34040150, 88144728),List(65342952, 25289673),List(92165933, 52867039),List(94700028, 76323074),List(40764989, 31515175),List(56392755, 71023403),List(9912102, 42852884),List(16258546, 97590396),List(22184260, 44429260),List(61761595, 93877801),List(44280229, 48988774),List(44545651, 4834857),List(58993089, 36013689),List(24108588, 87754764),List(45922143, 25398251),List(74391280, 63445656),List(48836635, 19285842),List(89380995, 3635083),List(82652942, 13468637),List(49988276, 2091217),List(49420329, 58293319),List(39982302, 36059322),List(79503009, 99949272),List(87781062, 31430296),List(12679538, 65739734),List(153428, 3724556),List(87677758, 79496400),List(50640013, 20086995),List(52946926, 61676012),List(52417671, 55901976),List(73878506, 43966200),List(97197327, 67737712),List(23474701, 88818114),List(92696049, 5649659),List(68239556, 73060764),List(16242737, 49255506),List(12204261, 96735563),List(8676127, 38101816),List(65595689, 98062558),List(36496228, 21013220),List(20824944, 49012951),List(96560527, 33595091),List(40201436, 18625324),List(42737314, 21421565),List(35221336, 17092798),List(47378749, 96880659),List(73482299, 83395449),List(29400418, 5706118),List(6471799, 62209945),List(33577011, 54549471),List(36739124, 30495117),List(93690953, 16879904),List(29167774, 73092998),List(9681933, 12519531),List(5863020, 72351832),List(31050207, 23503887),List(97285893, 36164896),List(8385348, 10832228),List(55902589, 56372692),List(76145623, 41790366),List(97850248, 1962563),List(10169894, 45664411),List(70161585, 85807792),List(97805607, 23526281),List(36203571, 11988767),List(3616307, 83122228),List(87709008, 17533358),List(71088984, 46286397),List(83179111, 12244413),List(52378847, 65740439),List(70207264, 772522),List(9873311, 5958902),List(81556043, 72625119),List(69287045, 54449352),List(12341528, 28277608),List(93664148, 17707574),List(75101695, 8387461),List(71218498, 62564509),List(64800812, 39065440),List(44456588, 19033720),List(67376436, 91002347),List(30436203, 15771990),List(59684078, 65880746),List(90873700, 88703384),List(40428519, 30543208),List(64424672, 40972153),List(48803837, 88640320),List(16419945, 42686862),List(62177131, 91989315),List(82736035, 165954),List(31233475, 79827579),List(33744759, 74362104),List(7013194, 79508100),List(52283773, 8231661),List(18240550, 34630655),List(48253022, 54414170),List(31265865, 89648906),List(93452524, 92868439),List(91401552, 73809386),List(10889507, 33851452),List(12429603, 79707381),List(75413365, 5907892),List(81728455, 76460175),List(38750307, 14682148),List(41171486, 67638756),List(12465492, 25644385),List(99053753, 6524899),List(45017339, 92760937),List(2299173, 52539718),List(28539142, 29468195),List(35308332, 74968353),List(26533606, 20417939),List(67317780, 59030366),List(55677942, 69965710),List(62088004, 71706241),List(31456199, 48077110),List(96701365, 18771381),List(72989258, 79927001),List(21247811, 125086),List(77071454, 69493857),List(33704739, 27275357),List(89999859, 72208147),List(28093532, 30934327),List(6483415, 11970658),List(4756833, 17508412),List(46351282, 20819663),List(42614542, 17608951),List(4208107, 34570183),List(75403028, 34866314),List(53306447, 86922101),List(87061103, 50309036),List(87769521, 53886374),List(65236409, 3910713),List(12764860, 58424599),List(40702101, 60863760),List(53063541, 53740448),List(74176523, 58650330),List(5707455, 7076065),List(95553749, 67722111),List(5915610, 56728265),List(90721360, 4714303),List(58235654, 31420690),List(45410289, 10800737),List(81305386, 58452166),List(64551117, 42046204),List(29988801, 48802984),List(20051738, 64592495),List(16240794, 34993306),List(47239420, 23940459),List(5730258, 35006338),List(99469694, 86695450),List(68846667, 78773637),List(51481067, 97259932),List(1697650, 41539611),List(70881013, 44920290),List(30045936, 2163500),List(67080763, 26326780),List(35132521, 21386550),List(72552409, 26753149),List(91476087, 40568557),List(10656987, 95189459),List(17607824, 26528242),List(34787888, 63850844),List(94913196, 49887936),List(93541630, 17264959),List(59241192, 50391656),List(36474003, 80290307),List(85708389, 56814487),List(35425423, 85502464),List(2633251, 77061897),List(93991860, 27415327),List(23712810, 19792991),List(81765214, 44839241),List(81917873, 29226994),List(42158096, 92999708),List(80271308, 38526315),List(84825722, 35649903),List(26971619, 86804038),List(60946344, 98034848),List(63880781, 59290810),List(81509380, 22070833),List(89154411, 57459140),List(72642803, 65352667),List(51286956, 49637284),List(96072579, 83810753),List(83494669, 53638583),List(98766601, 12231378),List(1818387, 67136093),List(21638506, 82790494),List(87139302, 50242175),List(54735217, 64741637),List(95895004, 54001510),List(26483801, 55981096),List(49030437, 25202642),List(20255296, 98334721),List(18061657, 41745038),List(92538215, 6737592),List(2582018, 4076692),List(3098539, 9430255),List(2629517, 23163663),List(92815174, 30878677),List(60215624, 81710587),List(40045927, 87266281),List(21758416, 17408674),List(10172814, 18570167),List(60109743, 35654825),List(49552648, 3201107),List(12682117, 86809173),List(22283822, 45537314),List(84572288, 57007762),List(76415473, 99599558),List(66062200, 17816507),List(11520897, 88256876),List(64693227, 62116060),List(46736436, 65187688),List(42133486, 90841193),List(99023476, 14564321),List(49808025, 63140022),List(46292335, 28493454),List(21467261, 89504173),List(62990246, 92530281),List(59252017, 9066516),List(25693604, 56405953),List(30663871, 28619303),List(59261749, 23470353),List(35607049, 31847103),List(24245661, 60656576),List(50923741, 67848312),List(64818430, 4825649),List(85872742, 18050833),List(64837206, 33243070),List(48929884, 23315163),List(15096542, 55897535),List(28120817, 14022937),List(88966934, 51058550),List(6716799, 36418923),List(44821154, 4200580),List(49146662, 10566333),List(49290447, 60219237),List(72941773, 87612003),List(91875177, 41923208),List(98512317, 67348128),List(93735487, 83209866),List(22360546, 5647813),List(49607406, 37685384),List(14412031, 61496450),List(96790033, 38699591),List(73342170, 77825491),List(67608798, 70283973),List(67261231, 92728730),List(71363332, 71834039),List(35826356, 707602),List(2122513, 60563187),List(45630855, 47168632),List(99670833, 54093811),List(87672640, 63417750),List(86369254, 72183066),List(78372429, 14362955),List(19125843, 59738947),List(85908762, 19760808),List(44576129, 87693118),List(78997320, 42897706),List(47388937, 16476420),List(69082325, 17601124),List(9588446, 18030646),List(98107417, 27778026),List(38832236, 35742074),List(59493075, 83093742),List(7969805, 69049824),List(23646711, 19298112),List(76018180, 21835300),List(17645877, 22249559),List(18587077, 99718069),List(76387048, 47597823),List(2881310, 99844719),List(85512856, 22229675),List(67850170, 71969923),List(37386312, 52583999),List(61094279, 22298331),List(62204010, 80717304),List(29608506, 73396110),List(47785035, 49346193),List(78491491, 78391372),List(13064094, 65062843),List(28811014, 82769198),List(38425523, 78834507),List(33855226, 95977903),List(50101909, 82437423),List(97745654, 66851843),List(97876942, 50835376),List(2536575, 75081555),List(10993826, 17942463),List(51011231, 78237893),List(44873538, 8414580),List(36132374, 20698875),List(93645006, 91026374),List(97295752, 96099904),List(11279771, 56032393),List(22482355, 9337189),List(4306520, 71986318),List(50987800, 68233549),List(72155142, 4143729),List(41592351, 10561475),List(29964101, 54277271),List(31806296, 98647656),List(59400297, 43689623),List(30812597, 78523524),List(64424120, 54837647),List(24231747, 73579288),List(70611366, 91390321),List(94213041, 76157089),List(56238685, 53267481),List(74911432, 78602750),List(98464029, 58941446),List(7531248, 63495678),List(25037615, 96637386),List(40500787, 86669986),List(32695598, 79406542),List(35736644, 39679806),List(17752730, 90976041),List(5471669, 15933210),List(39553277, 47224639),List(80938394, 82357390),List(55746226, 6935200),List(96596216, 78698810),List(89060235, 1764314),List(45694772, 57669182),List(34396040, 67796916),List(39476727, 9028506),List(26261680, 25281482),List(70919990, 45359388),List(9264969, 20193422),List(9171950, 53204189),List(34693591, 74377963),List(8656861, 47168002),List(86621272, 4666615),List(38936759, 99303382),List(29868294, 47724322),List(33277840, 89661630),List(75432131, 14419497),List(20532795, 40546682),List(51202461, 96842070),List(16963774, 76785236),List(84356021, 57291105),List(65380713, 46965433),List(65437064, 55457670),List(87750799, 42447397),List(23873890, 78160868),List(26799389, 26259667),List(64179654, 1205261),List(12451678, 56731327),List(26128075, 36120028),List(18663308, 66963408),List(49747966, 3563333),List(29957924, 77732831),List(55573550, 98123826),List(84527806, 94679188),List(94294428, 80159886),List(78148889, 50644409),List(52868802, 25524899),List(31789155, 24114321),List(6269169, 87152071),List(1447194, 78614840),List(64630102, 42240380),List(30415182, 26462686),List(38213947, 9723764),List(11449323, 4705699),List(81182254, 96636696),List(66686151, 82400851),List(52957393, 4696648),List(30890070, 45441525),List(38374164, 44688697),List(4617473, 74527412),List(16451533, 28356754),List(65993774, 2228491),List(62736806, 16752619),List(17483018, 27294794),List(47821873, 50227757),List(31209622, 65353796),List(10486332, 24814420),List(91063652, 56669485),List(74847485, 77674392),List(8236111, 42865),List(69733831, 59341380),List(75649659, 48799416),List(41332887, 96162428),List(77698386, 4057557),List(1078188, 73546656),List(64274544, 73774131),List(14470121, 81696459),List(6143589, 74812859),List(49877868, 82932960),List(78346230, 26005239),List(38775085, 18964793),List(98889774, 53676720),List(45984361, 29866153),List(62972452, 29032592),List(68744886, 20774235),List(8912175, 95424204),List(24077503, 86065973),List(32000894, 48091359),List(59065524, 19716252),List(96154582, 42862791),List(78857242, 4376059),List(24489781, 79518273),List(98550428, 64796180),List(67509735, 25829714),List(21931380, 78426769),List(20718637, 97090116),List(74172816, 47609261),List(72639191, 97741389),List(68483232, 37498988),List(19487022, 13245717),List(25810781, 83503324),List(59312212, 91123924),List(76336887, 65835725),List(53129967, 36797857),List(63665606, 57564932),List(17715406, 58372157),List(76487606, 65614716),List(6439457, 58315591),List(484401, 91345774),List(42458431, 14695983),List(76275065, 25001932),List(34742300, 89317751),List(60200638, 61843729),List(88724397, 40031987),List(44626434, 48339538),List(9066192, 74639228),List(33833344, 29888673),List(61428989, 59395577),List(74914687, 71177857),List(46992370, 99426314),List(72819706, 4519571),List(24978795, 99700325),List(52958436, 84864435),List(43101492, 81841681),List(29092608, 68343122),List(67022443, 98302282),List(65271495, 6476284),List(48961019, 41388613),List(46147249, 12812970),List(25894884, 21913104),List(74860866, 9979721),List(36859205, 18717410),List(47718994, 73186727),List(85825211, 51536854),List(18290374, 94422524),List(10997268, 68459424),List(70217524, 44458888),List(10935841, 20249482),List(5323034, 84546994),List(43734289, 81770373),List(82073898, 4606179),List(22503147, 20630231),List(79173791, 82928057),List(80488531, 81271210),List(55653147, 73467638),List(95393166, 69183068),List(37378012, 97247429),List(78525533, 63471473),List(61348841, 64616262),List(84492889, 65839886),List(77768647, 75180119),List(94302802, 6075146),List(37025209, 66936455),List(87154161, 5774948),List(11502, 4235541),List(35637435, 33327186),List(50223611, 42427384),List(53067779, 33694354),List(83664207, 77256997),List(97176031, 39395915),List(2560365, 35184021),List(80604233, 37735707),List(60222331, 56129314),List(48013709, 92739849),List(38572993, 7373346),List(18377038, 82538935),List(33752463, 9913540),List(26262935, 44731298),List(1597618, 23298775),List(46295837, 20678753),List(29139121, 70745289),List(56543864, 23352189),List(941363, 19561421),List(13460467, 76945602),List(99772519, 85358983),List(33768316, 45473050),List(46612760, 15562869),List(62631035, 25569404),List(3993042, 48722264),List(93677220, 48430829),List(79568309, 9090317),List(42015635, 69661491),List(7989874, 76363395),List(37031378, 92584081),List(33371099, 10923017),List(24384563, 62760398),List(94357150, 38436368),List(78084244, 35476843),List(64606176, 46565116),List(37365567, 38961283),List(71935809, 71203562),List(64638403, 93036888),List(76103540, 92838955),List(65186056, 59984916),List(55538406, 61256952),List(17969968, 83117612),List(4289305, 97344523),List(93274189, 68427854),List(58704181, 68237416),List(59601411, 47732273),List(15187954, 37057891),List(85717595, 23421475),List(90699668, 61345237),List(98816534, 52985448),List(60211693, 71870090),List(77434507, 46890368),List(79239912, 92725301),List(96460544, 58827416),List(17172267, 81398746),List(3130880, 45746686),List(66048413, 41055670),List(2947372, 44052795),List(66214625, 7539261),List(79071994, 14838259),List(89277475, 55868959),List(91418909, 64479366),List(71652457, 30511071),List(95586856, 80717847),List(30945008, 71924561),List(85062514, 88703353),List(75975617, 87427041),List(96237085, 20892645),List(11671264, 43303721),List(36581649, 99296558),List(50189897, 99763339),List(96584097, 81683777),List(82203831, 94502666),List(74644746, 90561773),List(1332374, 51348525),List(73955698, 49589165),List(12699094, 97223282),List(54844909, 54904967),List(83758897, 82680977),List(99714647, 44836810),List(20767363, 53243773),List(65356770, 85530540),List(21241790, 48293512),List(12889166, 9308959),List(70248820, 44820956),List(29706544, 13113845),List(87967614, 35804568),List(12072309, 98615893),List(92830161, 88694851),List(91682201, 22314709),List(33414994, 44971403),List(20085416, 71917425),List(71873086, 83785186),List(32464251, 74445273),List(86397893, 96552892),List(59654373, 12161472),List(36480370, 32519701),List(83615435, 35064067),List(93110048, 96186107),List(6000546, 47763635),List(50485958, 62688412),List(40939340, 37224333),List(66978250, 71125016),List(70769493, 219351),List(5038057, 10910998),List(85169370, 86018243),List(40402508, 61443681),List(63169926, 32694454),List(32472225, 99331814),List(44639949, 42676642),List(30821574, 38304191),List(21068498, 96907608),List(11066368, 29820577),List(89706195, 1413105),List(88757384, 58761140),List(84716762, 82428944),List(71172865, 82143733),List(14941291, 95334978),List(38280407, 67762433),List(8518903, 16953562),List(43138031, 56002326),List(11031003, 53452803),List(70233624, 76350418),List(82791597, 95915338),List(44576730, 28788408),List(88767232, 91988172),List(62084215, 28649732),List(23789370, 86959697),List(39647919, 31909060),List(21602951, 69985982),List(43746728, 97500284),List(69591959, 79643171),List(12466361, 98635031),List(64173019, 63854050),List(27899323, 68370506),List(45020357, 40675319),List(77013126, 24360935),List(42663836, 40795628),List(62190189, 56949687),List(66431613, 93712989),List(6859910, 33040376),List(60640849, 51239441),List(89954918, 92884045),List(84749676, 67741975),List(84171407, 45562540),List(32673596, 34498183),List(54355481, 79540672),List(49876001, 22675869),List(91348757, 86039160),List(2068813, 53469016),List(6785352, 68992947),List(76180953, 84282948),List(80461935, 76045774),List(67368472, 85880588),List(21494640, 67241781),List(43930788, 49585422),List(41173008, 81225938),List(91211189, 37278420),List(61596920, 71608591),List(61075642, 30276637),List(64766887, 52164342),List(87642188, 71372839),List(17223046, 20508037),List(84621472, 98943789),List(37868739, 59704691),List(80621842, 61014976),List(86344837, 38389742),List(36543188, 42780532),List(75495933, 42631620),List(70882767, 93050765),List(29246348, 49144597),List(21196153, 31447539),List(99140215, 17379130),List(89056950, 97021881),List(6414151, 55585988),List(6043744, 14796321),List(82778425, 51901376),List(40424537, 16286325),List(97992721, 71388074),List(4932063, 23716607),List(50863838, 38482159),List(82051441, 97958915),List(22065364, 85926731),List(68599621, 57071914),List(18743545, 63238543),List(3882606, 35088692),List(73406250, 65799125),List(68571354, 16575652),List(90901169, 30813324),List(61742999, 76450556),List(28492493, 94036845),List(40078566, 99352317),List(15411858, 62436494),List(75251469, 62448490),List(43664523, 78149906),List(48189665, 12817867),List(80770299, 3920181),List(97121319, 70797879),List(61197582, 48781009),List(32553930, 6196634),List(43854008, 78413308),List(38791758, 80778480),List(13875039, 577933),List(74900698, 95989762),List(27985000, 81784607),List(50196184, 88826739),List(32822282, 48278314),List(10743814, 69786757),List(98662941, 29689882),List(60284122, 2479187),List(86878427, 85760065),List(82098463, 71217314),List(62139783, 85263988),List(74227895, 83830580),List(22460864, 57798570),List(60751484, 32661645),List(93704600, 77279963),List(31390833, 12044701),List(95363677, 13290581),List(76695999, 73361336),List(32083452, 93327953),List(19391720, 26025153),List(18747118, 4336571),List(41702472, 40549835),List(29635894, 15312047),List(93366048, 27731698),List(69536752, 91187542),List(95586547, 28125297),List(26695230, 23635908),List(52365227, 76559554),List(30664734, 84482901),List(22124241, 60849827),List(87744750, 73886704),List(24856276, 71768397),List(85080168, 74728544),List(99457235, 36865321),List(70938671, 78112767),List(12327418, 56210100),List(85991520, 55810194),List(98015612, 83274521),List(39681888, 4218108),List(27563060, 67224874),List(60795554, 4009506),List(51863557, 8874),List(18949873, 74309654),List(34369218, 87556663),List(35591645, 10441305),List(50711381, 41895315),List(13285777, 3162502),List(84870667, 48986053),List(25426505, 82084210),List(23443994, 83686377),List(17604272, 55958690),List(33795829, 91934163),List(6184606, 82477470),List(82648083, 42216128),List(5659569, 60816351),List(31539256, 57271581),List(90204541, 30505797),List(96281502, 80882594),List(79457582, 91348375),List(60711763, 29612178),List(78438248, 58816721),List(70400855, 17680201),List(28443152, 39566443),List(51992225, 85093169),List(27606569, 42369004),List(38074331, 88110519),List(74412067, 79435008),List(50721793, 22549778),List(25538376, 37029704),List(98392443, 16095158),List(47265757, 76201577),List(50898914, 2978657),List(23716629, 80560899),List(37572109, 57766485),List(32576082, 63253772),List(99156446, 76024241),List(680683, 63716161),List(98289581, 81950317),List(16651230, 68852736),List(28800702, 72544369),List(57618533, 65227722),List(95527404, 62281790),List(62050117, 13006873),List(61594787, 73576386),List(9108897, 2088993),List(96028274, 93169529),List(19953767, 66185560),List(62001556, 48686803),List(15039151, 22070787),List(49295866, 74780135),List(91803184, 69331885),List(45968761, 44627739),List(64148208, 86109001),List(8876455, 14988255),List(72555470, 60517224),List(55850488, 39174355),List(38712120, 30101272),List(60964514, 58624340),List(99520987, 54168498),List(48510585, 16003603),List(74224683, 78253176),List(44718903, 64618168),List(85299946, 25740441),List(89136471, 47628191),List(82416261, 67273135),List(27956356, 59654624),List(90316210, 32018679),List(53787306, 37884843),List(30427635, 10011095),List(28882525, 64275165),List(92579092, 1011545),List(94340286, 30605034),List(41321562, 73362453),List(96459339, 95502335),List(88214130, 22257990),List(21583315, 15898115),List(94377498, 30162254),List(32497382, 16922706),List(1178301, 47430778),List(87814571, 97460114),List(35482931, 93083670),List(38043611, 49375600),List(28266460, 14489276),List(75987936, 90188748),List(72837823, 58947870),List(46711672, 1192954),List(37696242, 82584551),List(83239778, 33871294),List(54325705, 72926292),List(91521347, 94906329),List(84856616, 78368385),List(24426686, 27802104),List(88703092, 8159134),List(38879064, 48940431),List(27806031, 72175969),List(29801304, 39721338),List(69272277, 1776335),List(91586777, 31075404),List(62449532, 54005383),List(69327371, 74075784),List(74680689, 84399333),List(50764469, 43210117),List(33432608, 82330887),List(7192797, 55195403),List(28514314, 33867911),List(51840854, 40176082),List(50605419, 87278067),List(61071580, 32166443),List(36543193, 17768372),List(62721881, 77943681),List(44707490, 34965753),List(59515025, 16299612),List(95200650, 23933247),List(95687111, 26780219),List(15191447, 57718163),List(94023141, 69458050),List(55019731, 99863300),List(62114224, 48690012),List(31225865, 178394),List(10028219, 33238928),List(70555117, 58920216),List(78882478, 69111075),List(39668955, 14047631),List(76133547, 92819675),List(35886261, 9645995),List(77759299, 47954432),List(91650026, 96809820),List(51971956, 99477955),List(40953932, 23318929),List(34296945, 21904390),List(96902036, 3295959),List(89251046, 48017010),List(38227037, 96161257),List(62259228, 43847502),List(66639636, 86421424),List(87046810, 66606516),List(86197838, 8857066),List(44961679, 43918131),List(14436745, 11453364),List(783521, 79743979),List(2913382, 77972632),List(13318615, 32946402),List(46175272, 79568772),List(59734213, 30425941),List(27153103, 67395096),List(86725907, 65315601),List(64733220, 53110317),List(28875355, 29446303),List(12965220, 82013984),List(26183164, 20697574),List(84453523, 3294347),List(88757174, 57360368),List(5552858, 23648832),List(26074049, 17968726),List(60563079, 43134989),List(84679341, 74969746),List(28042306, 645702),List(45659015, 51966004),List(20345510, 46030171),List(2520047, 3970265),List(1028082, 5693186),List(73896641, 28263107),List(98128033, 19899554),List(2370261, 60624439),List(80328704, 14956828),List(2423455, 48977600),List(1517301, 92843173),List(20795946, 41676355),List(69681580, 15440626),List(40841497, 62612577),List(36591456, 25057012),List(40538367, 37981308),List(19410916, 70885565),List(7263256, 89684451),List(89595398, 14237876),List(6214736, 77382085),List(15827804, 41090239),List(62352983, 84660860),List(3163252, 71210197),List(16168586, 1481940),List(83365679, 3132206),List(71353112, 37703692),List(28724749, 53838982),List(36550174, 70267702),List(15397894, 22431031),List(34075387, 75573624),List(35974089, 91152725),List(40646390, 79375981),List(87771887, 33235059),List(71678248, 29972308),List(55198608, 29122911),List(15217299, 4057469),List(24534531, 7346580),List(69774587, 25801874),List(15196449, 64397756),List(50974662, 46161385),List(1229305, 70277034),List(10630721, 39782880),List(42139976, 71311157),List(55135825, 2336731),List(80047978, 77615600),List(43413976, 69081569),List(94254047, 71157150),List(32743857, 73130650),List(20148906, 96162101),List(22660348, 15568832),List(10239842, 97609555),List(63370275, 98319844),List(96438783, 76161361),List(19353661, 20899986),List(13227410, 14275758),List(69118673, 54861246),List(25871993, 97728309),List(71463502, 51185895),List(740107, 86424965),List(63191540, 87022604),List(97888657, 50353056),List(74603290, 35968587),List(62594202, 17767583),List(95956696, 18721889),List(94234024, 51179523),List(6457450, 6273034),List(74285543, 80420684),List(85333260, 18350277),List(66255466, 77816721),List(65559610, 12076476),List(54270157, 8252103),List(84031224, 39752989),List(67823886, 2427765),List(45523592, 74188078),List(36875529, 60223761),List(26554728, 83326214),List(21407193, 1599306),List(76022769, 16762094),List(8186776, 90620785),List(4916020, 57141505),List(79709077, 20600405),List(93789215, 44019707),List(15870660, 73928648),List(33879013, 18807358),List(85205735, 17981268),List(28608827, 72324080),List(75227527, 81186600),List(61466188, 90383428),List(96669279, 84859366),List(14010277, 43054094),List(21128077, 75558350),List(20861858, 40779033),List(20480478, 18813400),List(28219262, 31517333),List(43941332, 4172801),List(9201094, 69608235),List(52803849, 83684213),List(34697477, 95927243),List(20030900, 23342224),List(26368998, 43925504),List(89806950, 60060807),List(59305298, 25952427),List(51101782, 20835472),List(90046463, 28440761),List(45731636, 39366846),List(86481731, 84764951),List(58348741, 35667222),List(61496037, 87075600),List(88812516, 14335860),List(521374, 62769093),List(42182486, 59281490),List(89901688, 33455595),List(64184962, 98257744),List(14393191, 88579884),List(74341428, 19577259),List(88096987, 12393361),List(57141288, 59735793),List(4632852, 58604594),List(99523353, 31087561),List(28367092, 24444003),List(53388317, 46773727),List(84787712, 29423778),List(24005871, 92130293),List(27459894, 10707391),List(37780177, 65081311),List(26434025, 82962325),List(37056963, 18022277),List(19207009, 19807898),List(59056129, 74264764),List(49020462, 45613899),List(46399061, 44949480),List(46403508, 85707748),List(43252397, 78901414),List(28427376, 7866811),List(48591723, 73663938),List(76714592, 53407375),List(56552670, 45291776),List(93037023, 50438788),List(24325270, 7098123),List(50072121, 61600823),List(25283804, 37076878),List(92946759, 52241485),List(13223032, 67579031),List(37300472, 9801640),List(44870182, 66142165),List(11847225, 77075139),List(64519087, 89900045),List(90390534, 48650491),List(79183907, 27466214),List(82900062, 66025328),List(19134775, 35144270),List(5100889, 74194166),List(37214835, 26895373),List(68037973, 68242647),List(94170101, 60443182),List(13717292, 77115837),List(33882556, 87819344),List(1687086, 52017003),List(44637706, 33496669),List(85842570, 30834477),List(49934581, 61942090),List(2705504, 52102517),List(60654711, 99323675),List(79839463, 26394705),List(65334586, 39751975),List(73542639, 21842924),List(47693009, 8509192),List(67590205, 37680152),List(76128836, 438506),List(74831186, 35778925),List(35213174, 75821866),List(71270646, 64092854),List(69015996, 98797471),List(20345530, 80298842),List(87309630, 41247342),List(2993079, 36754469),List(91385588, 1228987),List(342407, 6789766),List(91540886, 16698443),List(52431105, 77559835),List(60637487, 45665341),List(32617606, 41360741),List(89832120, 25374222),List(63903913, 91921017),List(65680324, 66544915),List(72296269, 1859997),List(75403512, 3999568),List(26908283, 82535947),List(80798307, 37243995),List(19964776, 25133558),List(7170293, 53351477),List(17473211, 57498441),List(10891276, 70422479),List(5404511, 58990271),List(1754924, 78565687),List(82488413, 75174056),List(65324009, 67511151),List(45601542, 93770968),List(25920890, 59948350),List(93482231, 87641973),List(83425721, 82998305),List(72949239, 18989386),List(22119162, 88715442),List(45017984, 56337237),List(96828907, 80481834),List(94313603, 50746336),List(72269386, 89924072),List(56350888, 71540893),List(10359749, 5732542),List(51103311, 61553817),List(9189943, 46203861),List(36010971, 12887849),List(13363954, 33100588),List(88198481, 10109530),List(64114300, 38318535),List(21090414, 13950603),List(57490219, 29434709),List(31363438, 76591060),List(15280759, 60052142),List(57394095, 37956216),List(99676454, 27257191),List(57116289, 14611418),List(26056167, 15672948),List(11667753, 60268468),List(60105053, 70474867),List(95656619, 70068308),List(20284987, 64616302),List(34460778, 71685798),List(13265190, 182220),List(90706750, 32242078),List(92746531, 82983502),List(11927879, 4491726),List(8611210, 34728377),List(72377088, 42888428),List(47594335, 82654354),List(69344425, 88696027),List(16738948, 79974917),List(60452752, 27536977),List(48210256, 29238397),List(85389202, 2767730),List(7452747, 27296632),List(94271351, 96945149),List(33648336, 20238131),List(9837264, 65983519),List(20425615, 58593438),List(65893101, 59462554),List(41459592, 94982883),List(35509162, 4191152),List(98512335, 86055742),List(41347207, 56800651),List(84496754, 52965213),List(52422430, 61505778),List(69458299, 61011918),List(18809529, 35339992),List(77277712, 18762262),List(50378827, 29402053),List(20025771, 50825257),List(69335071, 41961653),List(75620673, 10024833),List(60758818, 89681179),List(52269822, 16262693),List(84909190, 83177559),List(86636140, 11458256),List(86641875, 78233892),List(73405226, 71104244),List(49752693, 57595494),List(95130950, 28276505),List(50651428, 55268415),List(13648805, 56606397),List(9798998, 17144849),List(73179568, 59495778),List(47240667, 80620811),List(10679251, 36800845),List(76483235, 8016230),List(49392522, 62149653),List(99367940, 23855048),List(2832624, 88970887),List(32180146, 29406994),List(50087516, 77642714),List(96249181, 72920136),List(56377861, 57778282),List(90742066, 13357008),List(24247996, 49020049),List(73760844, 66653711),List(62899558, 84062075),List(30235686, 24173678),List(83474285, 83653123),List(46456663, 91582809),List(90254499, 29224686),List(43817658, 55495498),List(60039298, 50428562),List(74827420, 59350262),List(7992793, 11197679),List(45215551, 29819906),List(69170263, 81888349),List(17981697, 97529849),List(34779525, 48543643),List(4879740, 10363893),List(7793413, 55943962),List(37594729, 25655284),List(2986394, 14984335),List(45112746, 27546865),List(1013897, 77168785),List(92023822, 58167377),List(13938294, 87649668),List(66205894, 56997023),List(74599682, 38706511),List(85390278, 75045201),List(21730981, 73173392),List(84502459, 1039576),List(2608059, 4672240),List(66038175, 83010424),List(53921004, 55109115),List(26971961, 40857931),List(91023390, 35497360),List(40439417, 47389554),List(87934323, 81142082),List(88343118, 81413319),List(685152, 55514602),List(41637951, 1316414),List(49468541, 5001515),List(78875319, 99180095),List(91967945, 37044083),List(79685340, 60780217),List(30974998, 96704872),List(56923163, 9175356),List(44451400, 91675583),List(54917028, 92799383),List(7887387, 76433079),List(23063314, 82271572),List(90767485, 52381917),List(47797838, 83741117),List(51078071, 46182764),List(35572091, 37778541),List(19610240, 41467300),List(88744674, 42474622),List(23786308, 50030115),List(92204485, 36418565),List(65114904, 25072295),List(3862140, 3868817),List(19180057, 91120225),List(55980783, 42006964),List(69167598, 18620815),List(50596214, 33484198),List(48085429, 56134454),List(95221683, 56518905),List(52293806, 92394971),List(61668282, 30700046),List(78246971, 98860556),List(40149671, 2833496),List(3735269, 62569358),List(19636327, 92721304),List(80478854, 85993497),List(92844368, 2283697),List(45898189, 33141890),List(85745402, 63000883),List(42539797, 90787979),List(80196369, 32582536),List(4501995, 65046752),List(80199939, 53210623),List(94419076, 6051452),List(85836860, 93970243),List(81603194, 80524921),List(32314333, 58694340),List(20417823, 75935275),List(51567029, 68189211),List(23508588, 56710065),List(61252572, 71188450),List(38533616, 67884085),List(26809078, 48567748),List(88903857, 95179875),List(30001639, 46396591),List(18220479, 95832186),List(65511422, 27874757),List(89932863, 85082269),List(75609562, 79868225),List(83046600, 52262513),List(10547107, 70229235),List(54045647, 27748303),List(12480527, 2223935),List(71866608, 4782419),List(28509626, 7982207),List(89965431, 39186147),List(49546291, 92583608),List(1492779, 67597691),List(4301702, 90075422),List(7359392, 84657036),List(60624057, 18458013),List(83401193, 23732684),List(31286526, 10329153),List(23534683, 93837570),List(2786829, 353516),List(711446, 55213888),List(92899310, 80801992),List(13804103, 31878655),List(41131188, 19103959),List(31825320, 81817395),List(79176484, 93103323),List(11483367, 42740172),List(92778962, 7147644),List(93570264, 85052832),List(34542613, 1850404),List(18524415, 42149630),List(56939875, 23911093),List(57907488, 5946533),List(40163419, 11576750),List(70450505, 6618076),List(97665910, 44897098),List(48469980, 85937159),List(54102766, 8731947),List(44591551, 89037204),List(2816349, 5787267),List(9735171, 10656616),List(11928849, 52880983),List(18318027, 34056950),List(75934746, 63328770),List(1098845, 26969326),List(16063882, 66704230),List(46942018, 85336323),List(95679648, 52443195),List(6882310, 97932908),List(15183540, 28999818),List(82862483, 41029382),List(58219264, 66166633),List(48722275, 96486814),List(52600943, 1356182),List(93314615, 31065611),List(98584717, 23791093),List(65849813, 21542381),List(69821755, 88784527),List(73211479, 37956435),List(8814777, 78564440),List(52514685, 189764),List(35734037, 66005377),List(82660692, 51330533),List(22454365, 92139859),List(17118683, 78779429),List(75592310, 31609800),List(34052279, 57812600),List(54860260, 55441767),List(9927695, 98433067),List(60520111, 28790332),List(13308720, 84998998),List(79866482, 89866268),List(12894633, 2456765),List(28670664, 7524363),List(67176349, 30710571),List(24242624, 57853052),List(451786, 77828013),List(27783087, 5736551),List(83483136, 15108217),List(31904119, 7536451),List(70376117, 53794818),List(36170011, 1061677),List(43962457, 7820737),List(33429950, 65678508),List(61437190, 74170936),List(91096782, 39646706),List(51375437, 99644325),List(30088754, 50370997),List(22466979, 3129032),List(42436464, 69149662),List(60485395, 93045570),List(66639086, 63240894),List(12812373, 89343986),List(97718196, 87091377),List(57167823, 96410980),List(22825232, 97109370),List(85717570, 23089403),List(12127348, 4523769),List(64684710, 85120257),List(99299892, 36319970),List(78518503, 65960573),List(57912128, 12932770),List(69110789, 3251260),List(95097964, 19977832),List(81667486, 69468856),List(56698682, 32527338),List(2287269, 55411779),List(96199417, 47320091),List(39915042, 79615481),List(7580416, 1808724),List(85683805, 41602177),List(529353, 24888384),List(30502724, 98876129),List(72886185, 84075130),List(94917627, 59318497),List(76234583, 17896249),List(8738888, 20438568),List(41450165, 75320792),List(71197090, 34769709),List(48693691, 23074859),List(34120515, 96799295),List(36878467, 41572670),List(47101358, 87770542),List(23839296, 51124032),List(33149946, 44606490),List(92417359, 20451495),List(22161223, 98905158),List(22465861, 76196696),List(75206609, 52843251),List(75117783, 9151335),List(24608050, 76682068),List(98971315, 84191083),List(42288272, 95458547),List(18883397, 78705291),List(8978918, 54541136),List(53672292, 17282845),List(24399272, 31805002),List(43495941, 70721350),List(52845903, 64438035),List(16790889, 52620490),List(26684029, 35967422),List(67324086, 81769894),List(41535938, 73175019),List(84465894, 37018124),List(84111396, 41934203),List(59866705, 9743969),List(49964524, 57950041),List(25867566, 14271359),List(56528904, 65857155),List(69072522, 4516400),List(68873881, 55848571),List(2552513, 37736477),List(8998097, 548978),List(101097, 20749622),List(10851767, 13948982),List(30590747, 72020712),List(30836128, 80926680),List(85441544, 47083995),List(8466184, 93202432),List(6363817, 43397110),List(80340690, 88195740),List(34024732, 21760892),List(82742760, 69134192),List(28360060, 98442111),List(61830365, 67741142),List(82589260, 27537680),List(95094899, 65229590),List(67161211, 96922572),List(4999503, 22770275),List(80305508, 99016326),List(72661293, 96391238),List(4880565, 89467008),List(51917790, 45554182),List(43756938, 60456230),List(88593634, 78923102),List(55751760, 87015636),List(3230869, 75313934),List(70224470, 3394487),List(74212183, 74943791),List(37948873, 13224251),List(38608166, 21300110),List(54668975, 4096032),List(37165968, 92507129),List(67297203, 90401057),List(42992479, 59501454),List(76932869, 38807620),List(62212012, 62668381),List(63256127, 99250700),List(53288732, 84086781),List(43743438, 59958354),List(41306643, 83541873),List(53344631, 7971273),List(82212213, 15632353),List(23288066, 54378424),List(68659679, 43403970),List(74587186, 95286484),List(18188640, 93644601),List(16092265, 18173949),List(46123488, 61006486),List(45181603, 10041227),List(94807129, 49116251),List(30864876, 43159579),List(63353146, 43317356),List(66876281, 42995631),List(26018914, 36284240),List(15831935, 63982598),List(83799369, 68575068),List(78644900, 33284314),List(19944168, 77030909),List(16911953, 20587675),List(99737664, 12158873),List(81115503, 40609785),List(97485119, 79577670),List(59605082, 40626841),List(98716293, 45848253),List(50104422, 15501286),List(35184605, 3584669),List(87363434, 62257643),List(43513024, 9699308),List(86836738, 10338281),List(54645124, 18647556),List(18794550, 34789118),List(51878424, 79578270),List(15343340, 51798116),List(47907539, 71485259),List(11723027, 3851872),List(10392450, 87021306),List(97043817, 3058965),List(8961146, 54017776),List(38451427, 24779222),List(94242482, 57789626),List(58972542, 42952542),List(22762483, 25488606),List(8727487, 32337223),List(45344885, 89724129),List(16180210, 41106589),List(68222303, 79451349),List(47301400, 511177),List(37593854, 59049276),List(65639180, 65994972),List(48147960, 84817094),List(69229610, 68579181),List(83349892, 61746480),List(81287405, 79787979),List(28237, 48229625),List(68955468, 39126126),List(80956488, 12092384),List(7171926, 96841013),List(65600634, 26159251),List(10594466, 31518347),List(92984087, 84261030),List(25695887, 31718531),List(22619370, 20704333),List(62321927, 12595065),List(90134989, 75757881),List(31647818, 12360353),List(88959255, 96578987),List(74283799, 47443222),List(31884935, 99398337),List(50438248, 91751391),List(49210460, 81657052),List(71813344, 39478853),List(91976415, 44164034),List(62530460, 35702275),List(62380385, 31080968),List(48218385, 67558839),List(25828936, 40299519),List(87005060, 71072496),List(34939060, 43045358),List(71246515, 19602549),List(17989414, 95847455),List(5340272, 32848304),List(87696429, 31018759),List(72091679, 17369185),List(50288897, 25431029),List(85338770, 67719956),List(78391254, 43762397),List(35532325, 98843738),List(37752597, 81261280),List(7276630, 16824582),List(24929549, 16169386),List(40737223, 71313366),List(79809125, 10622049),List(43767036, 65357883),List(54772370, 32104935),List(58851955, 78160249),List(50995073, 56342412),List(48886365, 37785355),List(78703258, 38471274),List(66420345, 9482536),List(82298724, 70062343),List(27035691, 26582965),List(41269916, 14992008),List(86761715, 78742686),List(43577829, 74776632),List(40694892, 89961707),List(9960933, 54299555),List(56177301, 94022681),List(6004767, 73562778),List(69030478, 60674123),List(93697139, 92063641),List(27604047, 82340298),List(48091779, 1722834),List(73089848, 13107170),List(42802796, 12419769),List(49828340, 2515153),List(54790310, 27898866),List(96575438, 13517529),List(88616096, 44964454),List(67440892, 27630467),List(91147439, 33160582),List(67899363, 54406301),List(44492251, 51736363),List(90456842, 48883813),List(86327922, 78022656),List(67777627, 45218266),List(41956175, 12761564),List(39765655, 1319261),List(11884755, 78643577),List(80596612, 75976084),List(64829002, 72555301),List(68598535, 98532991),List(99898792, 95719381),List(27654399, 75794168),List(65518896, 56263368),List(65621299, 64210514),List(47648927, 34427139),List(99691934, 74283917),List(74645859, 95283877),List(31193113, 97618138),List(38540567, 5524615),List(67532905, 29913036),List(45054095, 32511329),List(6611696, 57528753),List(98225680, 30125888),List(87489987, 23561915),List(13213868, 20165368),List(30800577, 47890537),List(8718919, 98422843),List(18735920, 40148118),List(64668730, 23246417),List(48820319, 85583540),List(99214578, 47798978),List(6240139, 17982605),List(63282139, 81359086),List(82139672, 78810534),List(63784527, 86309808),List(91207429, 64969394),List(62129706, 72943896),List(68186125, 8663790),List(95537555, 15954310),List(266548, 82816969),List(3784600, 15852141),List(99967185, 60226517),List(80652381, 80109501),List(59915063, 74642176),List(61468633, 30040431),List(15658706, 42885775),List(95102912, 29493951),List(75553216, 39302260),List(79899883, 68067665),List(25820520, 19477438),List(98964783, 4973579),List(68481890, 98668637),List(84074983, 50570046),List(25930370, 64382475),List(62253560, 36511793),List(90706909, 20062787),List(42347657, 42968218),List(36748045, 39362303),List(69563392, 25361055),List(25856539, 69013522),List(97363181, 57590537),List(35342483, 9664142),List(70153028, 19918891),List(77382774, 54277752),List(54294205, 29538795),List(6251737, 83036373),List(83556159, 99040017),List(95851202, 68208640),List(22844035, 5353392),List(63511119, 19435731),List(93908458, 81306008),List(34550802, 15404236),List(99546289, 29139978),List(10502483, 84790230),List(92199857, 88601027),List(37631269, 7271762),List(96693114, 72557889),List(27711511, 53702719),List(62731140, 92410196),List(21400665, 33825241),List(33004308, 58675888),List(13916370, 14107161),List(28953196, 75327417),List(19313123, 90062798),List(57658854, 76884127),List(89913046, 90269614),List(25158591, 12290559),List(86497213, 45365601),List(80173178, 4887989),List(59801943, 30841965),List(49492107, 53038829),List(51538545, 89842192),List(71869745, 52869084),List(70292804, 96485748),List(55001951, 50879285),List(62904493, 92968233),List(41439884, 1761010),List(52727335, 24534436),List(324273, 93248467),List(73618603, 68279793),List(37527286, 82103990),List(50223020, 42966082),List(83164561, 70564983),List(70224245, 92624537),List(33336661, 16327017),List(91286117, 44880262),List(84910281, 90526789),List(6721445, 94162418),List(38481552, 47398594),List(66445382, 37243636),List(90759643, 78098485),List(52395280, 39296987),List(65414064, 86357995),List(40582494, 37628075),List(86685377, 31687837),List(39983525, 19724766),List(31449825, 93138851),List(66107681, 22824888),List(81410982, 21953529),List(44218171, 50859585),List(8338414, 38958120),List(6669028, 48638106),List(18807358, 41865257),List(23798295, 3554163),List(86318263, 72661126),List(21881701, 94922996),List(21483834, 92768848),List(8179122, 44277024),List(59431776, 7592415),List(31736363, 82138950),List(6855067, 37196535),List(38235997, 57930279),List(21633559, 30522000),List(90414833, 4620603),List(39458734, 38212629),List(47663846, 23927249),List(12379896, 5200723),List(68149456, 26950139),List(63091172, 1409899),List(12651713, 92619012),List(65944944, 4133014),List(6396098, 75223971),List(98300083, 44146473),List(15098559, 25788655),List(99675151, 73072514),List(45932601, 69021513),List(85908263, 26727023),List(17679079, 43104921),List(73914092, 26310564),List(11406647, 13600501),List(40238370, 9799793),List(33039822, 70459205),List(64912360, 70525261),List(88821861, 24090618),List(61056892, 39667545),List(58827016, 62580476),List(30903724, 74207580),List(42546017, 39864914),List(28410787, 43522744),List(39584601, 61685251),List(81236046, 19815348),List(85470085, 75247506),List(13716992, 42196235),List(48807151, 55537225),List(85003404, 4202520),List(25958887, 18620239),List(40711769, 66733467),List(45779946, 83315576),List(93048400, 79735018),List(80225163, 91562068),List(55512984, 99656594),List(55150042, 45270299),List(30883482, 15382978),List(24180380, 10924778),List(33411504, 11736166),List(33853197, 52139155),List(46236395, 8605741),List(90648658, 95358398),List(40838208, 14589166),List(96933332, 6419646),List(57167210, 47515915),List(61387311, 5331366),List(1341383, 93129595),List(80626641, 29695316),List(78789096, 84525770),List(27386864, 26066904),List(81621008, 10535474),List(45614467, 82542831),List(6349128, 65741363),List(59486291, 8149692),List(29814363, 10656594),List(2303022, 7681090),List(76590331, 14538607),List(94349910, 70645392),List(91083799, 69472944),List(12215432, 22400330),List(4326929, 23538237),List(57698278, 41330070),List(61168214, 68790275),List(64791026, 33827323),List(48459124, 12363246),List(58464272, 43529975),List(29158322, 25919163),List(83636780, 93634715),List(10208563, 32577293),List(33226872, 80260003),List(9809232, 32200523),List(44135224, 58275410),List(90701905, 38499118),List(37288762, 25051868),List(31095152, 71033968),List(52343946, 68674832),List(58129630, 15252201),List(72865404, 87494526),List(15163259, 68813073),List(79856523, 49449870),List(33501774, 82661230),List(81960981, 17808994),List(21134881, 46321171),List(46598657, 91196286),List(47832268, 63087012),List(92440271, 795860),List(77335554, 39899706),List(79114674, 15409092),List(69713785, 34862144),List(69597494, 73984724),List(48663006, 18758439),List(67254011, 64492288),List(82858269, 83998877),List(29273612, 17797881),List(7123004, 9612055),List(18674762, 36941878),List(70634337, 80409677),List(91502201, 40322842),List(86846125, 61559190),List(72011363, 77213752),List(34859491, 44379003),List(49949869, 9889509),List(89376035, 97253353),List(63297499, 90034096),List(66512235, 20595164),List(63311612, 36227807),List(6490927, 30530502),List(56642148, 88172829),List(27598125, 93674430),List(28428955, 85536127),List(88948177, 10436186),List(21070900, 7582726),List(94200077, 70547261),List(43936005, 42990114),List(89108155, 77459365),List(61951965, 59179449),List(32340891, 77012622),List(95662828, 82496822),List(50844291, 96767640),List(2198164, 17686971),List(56842384, 6057142),List(83983349, 64625044),List(4912340, 59012791),List(66385750, 86435748),List(23860158, 86783321),List(30222005, 56384574),List(59242029, 35344040),List(48491564, 54358021),List(72178539, 612107),List(39028805, 3781658),List(25467625, 28973045),List(96043376, 21937430),List(16482155, 43726235),List(9812195, 96308318),List(9451637, 50675675),List(25898759, 17315356),List(29890919, 4212765),List(58657479, 6982839),List(50066455, 11544833),List(20020070, 98393189),List(78864582, 8759077),List(18178220, 92380259),List(89702070, 5096240),List(29127265, 63571045),List(68757108, 19450418),List(53665219, 39949457),List(12653193, 21154410),List(32530852, 15686399),List(67746223, 7497977),List(49127953, 46220206),List(41826, 75654139),List(55268676, 14926118),List(73088551, 7298028),List(67699467, 24199483),List(64093568, 54780179),List(58894252, 95130738),List(51059292, 40677704),List(9987246, 88581679),List(62388874, 65846950),List(28270390, 12137830),List(54505778, 14379474),List(39604721, 28467577),List(11283035, 72457297),List(69006512, 37798231),List(49341068, 79491392),List(20653951, 10871530),List(24926058, 9694631),List(55077906, 52276037),List(58211339, 6146616),List(7236765, 51263883),List(89716128, 71906430),List(27766082, 89631178),List(11903109, 12804360),List(2408943, 1379265),List(96089709, 86109637),List(61916563, 58124112),List(23068459, 19771997),List(12457643, 9472088),List(80867305, 58266256),List(19942118, 67071896),List(4366108, 54490582),List(1239745, 12374904),List(69389907, 39698503),List(4579322, 59239136),List(65839577, 92823829),List(9419050, 92509870),List(59598728, 33969053),List(58038592, 45802186),List(29732144, 44796071),List(71997051, 52118204),List(42479115, 16862690),List(35654355, 80937911),List(13636487, 90107037),List(58709087, 62351411),List(56474650, 57425754),List(73356302, 69664618),List(79443580, 84930408),List(76808979, 65961618),List(39997971, 89722872),List(82211095, 77960201),List(71010919, 59620264),List(73835867, 4652931),List(82273853, 59675214),List(46534936, 56726303),List(99724751, 43771437),List(96245428, 9702812),List(87994520, 48387247),List(11550719, 19009330),List(95055682, 40120688),List(46996655, 18543814),List(47434892, 35033706),List(65078380, 48663623),List(75773044, 20123344),List(98277013, 86697428),List(77626951, 82782781),List(9536037, 31135117),List(29299270, 73320975),List(56420207, 10146814),List(69195302, 59737122),List(34014454, 63133930),List(86026470, 521368),List(67712259, 53527631),List(50565393, 27390445),List(57794295, 76879016),List(17883, 71992500),List(62813587, 44580886),List(35918413, 73070488),List(24391753, 98388672),List(36693768, 39340273),List(54184173, 54172781),List(69113693, 81403442),List(10070925, 22663237),List(80928270, 63586091),List(63760338, 60244035),List(39837074, 12108038),List(2997661, 24807745),List(79366356, 39368122),List(81352759, 73704146),List(60255780, 41942934),List(7154551, 32744410),List(68723411, 9412104),List(56512917, 30256711),List(82403949, 16044519),List(86680025, 45631412),List(74316806, 2300519),List(19533300, 20177713),List(86860392, 34888305),List(61003820, 21773237),List(17755327, 50825352),List(25766986, 6978828),List(2523041, 17889162),List(82325448, 78317063),List(93802068, 15738041),List(46734566, 20481829),List(70293914, 1571960),List(38772257, 29758284),List(90130482, 34447023),List(73554256, 44915775),List(65419659, 44569209),List(64497439, 10125822),List(24950998, 81368282),List(12189828, 91210888),List(52425527, 55825076),List(83995040, 2457443),List(38713604, 47426558),List(90577572, 15039184),List(86963570, 19348356),List(21497052, 50758693),List(58628712, 50661594),List(80174184, 95331143),List(86034600, 68533879),List(89002681, 66407159),List(30163699, 85556820),List(15873388, 69542105),List(96940946, 26765034),List(88761033, 2739786),List(1748663, 93310177),List(61241395, 9101898),List(97674663, 9018453),List(49502595, 24709246),List(7591673, 23318961),List(14961967, 94986375),List(6743409, 71585564),List(17223190, 41230876),List(47534935, 51355823),List(18282701, 93610907),List(57257706, 43475186),List(92008842, 1112953),List(82085536, 42298441),List(89750283, 90701224),List(50274466, 92532573),List(82781593, 78666327),List(61827437, 95877197),List(39794116, 73911581),List(93595594, 75396748),List(95411269, 11532333),List(56491723, 54095775),List(47928019, 15466909),List(42916706, 89057219),List(35882811, 8746245),List(31806537, 13707080),List(80200493, 72418694),List(57772748, 45542817),List(81937868, 79493854),List(92155388, 11310129),List(35771898, 9482516),List(43346933, 24503894),List(68632234, 29092003),List(77953661, 8147596),List(22235246, 1858070),List(46800620, 11482248),List(64980368, 51047305),List(37615679, 27859561),List(54441351, 64985769),List(25235788, 15457920),List(90783375, 82860804),List(53688344, 66448955),List(26214360, 20469725),List(64727659, 85867534),List(77994116, 30601093),List(40417040, 78605406),List(61391409, 24955619),List(58991684, 7051521),List(46148549, 84733026),List(51951688, 68452270),List(25020342, 90236033),List(25700366, 92364909),List(50800591, 88824458),List(10406279, 22687017),List(45530178, 96377530),List(67408313, 1916860),List(14114355, 51825283),List(13017220, 62332499),List(19395718, 3523819),List(55249130, 71633002),List(6103642, 9156250),List(99254515, 86617387),List(87746666, 51691054),List(13311192, 52807415),List(56745350, 43875947),List(11620278, 45985256),List(96674359, 18693409),List(49061850, 72797633),List(35136460, 91849696),List(80684659, 21348730),List(5117463, 47497243),List(39628294, 31516678),List(65611825, 3803389),List(56648134, 21690152),List(109797, 92813859),List(91252949, 404886),List(11800216, 1169693),List(26550061, 50389263),List(82553036, 23291186),List(49326164, 35363278),List(70156007, 25710785),List(24004270, 45814422),List(98592969, 66642247),List(95738089, 51393819),List(86944887, 98363672),List(31568404, 35475967),List(66865245, 54928371),List(82271298, 76153215),List(76933105, 65812488),List(92448479, 72310479),List(2878849, 79692782),List(50739484, 91452551),List(61888577, 15929098),List(81673453, 42314381),List(95340934, 66339078),List(57782696, 23001404),List(45653619, 99504162),List(95326399, 18180623),List(69481441, 99533238),List(42040009, 67458318),List(29340451, 55216647),List(13496082, 3215226),List(78541328, 78958309),List(77295299, 96258578),List(38578472, 84913693),List(80565472, 87992443),List(78585059, 36473165),List(8807467, 21327330),List(6417537, 24108661),List(86796885, 41770392),List(8662477, 13491306),List(49154347, 11053637),List(25732401, 99865440),List(54503182, 69378578),List(79173571, 66012292),List(40126341, 92812777),List(79980671, 48802904),List(95039295, 32532304),List(89308648, 76960310),List(65218665, 83698743),List(81557607, 28419462),List(86435631, 62769359),List(12550464, 85703323),List(34180101, 63940427),List(38713027, 34635142),List(21544222, 67197057),List(50754789, 15263662),List(78862984, 77134663),List(90606532, 34242252),List(56283919, 83476455),List(67161408, 72028755),List(46147611, 37238494),List(20560974, 45655612),List(71719359, 62839924),List(31893032, 722541),List(16309717, 75750175),List(66528739, 5408679),List(25711378, 10831848),List(88744557, 13738513),List(60061896, 51367423),List(63729588, 94370759),List(98515779, 79718840),List(61472234, 63147832),List(93726686, 52692991),List(84238066, 26296611),List(13396354, 93415573),List(29000457, 96950045),List(70089616, 94358610),List(48028726, 1701140),List(25355026, 41661456),List(95370164, 15908877),List(48291335, 98492962),List(82579684, 27320282),List(89006786, 36108382),List(33264336, 36918914),List(77703348, 59243288),List(34122028, 79916647),List(41922742, 71950250),List(69885122, 29619673),List(93270494, 59559148),List(61857431, 56094470),List(69074004, 3208554),List(42052815, 76964013),List(11504251, 95610465),List(71492752, 32951484),List(32146391, 80098560),List(57989908, 32473047),List(40086023, 24966356),List(17488707, 64599788),List(78799731, 60822955),List(53113748, 68603988),List(65804084, 98611524),List(74917181, 61987479),List(26822474, 57517836),List(41236984, 81899098),List(59125600, 50915224),List(36986352, 9337206),List(56178129, 9793662),List(69389179, 73628482),List(4240447, 57525398),List(43137842, 98349615),List(23099498, 36489036),List(92926448, 21584171),List(27894646, 52744144),List(60883953, 45281426),List(249779, 18797291),List(49746550, 45782785),List(73140804, 18324517),List(86544260, 32438700),List(8800987, 91178737),List(77876423, 1325273),List(5410795, 74138925),List(97227704, 94063444),List(54234633, 84883782),List(36455087, 77285724),List(79865835, 52843682),List(54214385, 2690026),List(78725947, 11722391),List(30162209, 11538856),List(72556088, 29387368),List(24806945, 45518432),List(17360484, 97371935),List(84902525, 54844745),List(38967085, 64112563),List(96777596, 29912281),List(83574537, 57199023),List(10974447, 17296603),List(28466020, 11611414),List(84065214, 66443841),List(6219848, 41889293),List(27611470, 10904709),List(4050138, 70393257),List(36751483, 52866099),List(1441483, 77059502),List(80622945, 36422098),List(45968936, 13078087),List(58842586, 30083631),List(46000143, 71120267),List(92420325, 14095442),List(36138119, 92228788),List(9506235, 28475488),List(24180758, 82063034),List(25760742, 94687189),List(75696997, 57431384),List(77311989, 178572),List(17726296, 77978358),List(58864982, 75400552),List(1769773, 94449517),List(67156490, 18360966),List(17439749, 71246803),List(93149738, 6201565),List(56668574, 47627125),List(12453273, 15773452),List(57408748, 20754658),List(91815682, 9277427),List(13639783, 80358654),List(80252584, 13137244),List(39313571, 94548323),List(93810668, 66710992),List(27554065, 47158489),List(56155722, 40039159),List(30457237, 54623451),List(41232684, 99820071),List(61870595, 80837787),List(51004482, 87960271),List(83279140, 53091891),List(39297584, 48158705),List(98203193, 51916886),List(17130435, 95314168),List(1770055, 52219207),List(46083061, 67166802),List(9168995, 33008647),List(56920571, 85665405),List(92166781, 64002058),List(17234049, 62034059),List(41986839, 50413872),List(14468866, 55150285),List(78168075, 78375051),List(24034112, 51373875),List(41347017, 30650876),List(1458510, 39978274),List(65222070, 35813641),List(84929709, 61324569),List(47568922, 54289043),List(37657026, 65833472),List(76809359, 19277560),List(29221199, 39617888),List(63046120, 46696591),List(49954763, 79044840),List(25593690, 26408433),List(79086874, 80769613),List(14103625, 85724242),List(27121377, 2024060),List(20600922, 27788136),List(67145071, 13186787),List(69992836, 19313762),List(6720448, 31976739),List(48634132, 71649024),List(30561786, 80252593),List(53157535, 53676186),List(74577554, 79106600),List(49664305, 70325933),List(60217219, 4461297),List(28210688, 36805039),List(82097037, 78127690),List(13935965, 29325530),List(20954676, 91142958),List(41625397, 51841225),List(28808700, 23010430),List(46671808, 85781010),List(6569940, 2674245),List(18235040, 79291733),List(65974180, 33838897),List(68538399, 30863703),List(55829136, 88676910),List(71924690, 31952511),List(15139001, 61475449),List(21094270, 68922298),List(40137875, 2460251),List(45383103, 1906342),List(36354509, 93821177),List(70995134, 13021512),List(21863371, 63879715),List(89176058, 9001582),List(47700857, 66803254),List(79036748, 5985064),List(36729560, 53356717),List(18333054, 11689501),List(88367717, 41700287),List(33742317, 23157815),List(79580642, 4838996),List(23489084, 1649934),List(69479634, 29457208),List(47012902, 89824230),List(88067182, 88027471),List(67517592, 30665068),List(69467796, 39974922),List(98965353, 97006424),List(73517811, 68766078),List(30759081, 37899313),List(2810948, 43626314),List(80433385, 37263006),List(10012994, 93771281),List(63140498, 20723203),List(42677635, 93394746),List(58460147, 45484559),List(54408990, 93018958),List(17765838, 47897952),List(96812387, 65469183),List(8660055, 18725771),List(12966287, 66770087),List(70904182, 87081153),List(52472418, 65182148),List(54990355, 57232407),List(48621093, 49439573),List(78210849, 65524431),List(33944066, 40673646),List(42556116, 9816674),List(87150032, 44687359),List(61854998, 64186380),List(31853023, 85835600),List(46154721, 48202239),List(19741526, 96304314),List(3112847, 14517315),List(98964171, 8897537),List(80302896, 94724640),List(97532716, 87102653),List(64207072, 55286396),List(30905500, 6076780),List(96438572, 3275709),List(26744882, 88354304),List(67879793, 35152595),List(83517781, 20226590),List(98706331, 70059216),List(27503164, 39168012),List(51751071, 3578609),List(97013299, 12980674),List(76456778, 19142304),List(42136265, 78385252),List(12076191, 75419098),List(72925349, 35720363),List(94256003, 86131851),List(32120735, 75217657),List(60319293, 69179390),List(85090312, 46023244),List(9204862, 58293318),List(73549935, 15767887),List(61363065, 87342122),List(193331, 93211833),List(6895180, 31922676),List(39367648, 11007675),List(35182634, 43972104),List(10037121, 46320028),List(42282814, 1778696),List(87698592, 97851467),List(45190256, 31819138),List(92431785, 12393921),List(49770599, 51753219),List(12321870, 23648024),List(64820504, 20932640),List(74155875, 11836785),List(26757828, 76973289),List(14573386, 15689716),List(92178750, 64739442),List(61097411, 38674639),List(14276790, 85488742),List(4358144, 58153200),List(605907, 27618805),List(50237228, 96512282),List(42137646, 97274004),List(78671020, 57898127),List(25564181, 98917754),List(98911427, 53669505),List(82494009, 71377275),List(93172912, 37723649),List(83727542, 17614426),List(67419140, 92286388),List(62756934, 14428925),List(75414599, 33234808),List(8689671, 21855739),List(84749973, 59410512),List(87268169, 35196895),List(17870926, 88693868),List(56570381, 28407788),List(56421045, 63070588),List(1936262, 54187024),List(39392341, 56790806),List(93121526, 63710002),List(65093499, 73973603),List(84663175, 28929279),List(86347574, 72450630),List(1771288, 17333274),List(10034835, 72609685),List(73336115, 80237446),List(40431151, 34850028),List(17144496, 99730043),List(68677319, 16956103),List(59596774, 88949788),List(40265026, 76390033),List(25043078, 51005989),List(41516442, 60823686),List(12663717, 8056941),List(17261355, 64759272),List(5655481, 20252516),List(92194104, 21918290),List(38881210, 46054621),List(85876609, 47742005),List(82667062, 99524377),List(25362283, 9531791),List(40715100, 50680408),List(91097928, 87716506),List(94511013, 92203238),List(45176617, 44521517),List(96621658, 10105549),List(46812477, 5012254),List(31296420, 42160186),List(29209420, 2808315),List(10041655, 94058733),List(61563548, 61050279),List(77819552, 79968310),List(70133490, 68620154),List(56569322, 35090275),List(87485831, 43610531),List(6384573, 64601131),List(85017147, 92050997),List(10480088, 67748561),List(51677993, 49241376),List(33184368, 83132579),List(45879676, 52964121),List(9600768, 26898390),List(10276765, 5492271),List(20653704, 92114218),List(87097558, 39686395),List(53614605, 80835876),List(73823846, 49640606),List(28953270, 75359658),List(1421841, 41018606),List(77992688, 3810922),List(57991960, 64078964),List(29332544, 6143565),List(67495927, 16406233),List(86106352, 54137536),List(77643378, 35187051),List(42410396, 67257862),List(91099869, 16284467),List(37587114, 71459639),List(52819447, 16953572),List(56507066, 38597081),List(59564453, 76749439),List(3137447, 27349968),List(79122362, 85031729),List(6854450, 7604101),List(71166254, 22617360),List(49868416, 75251778),List(70796035, 96053239),List(31035395, 55377757),List(97365570, 93531058),List(91170582, 1909001),List(33223506, 37426559),List(76414468, 66918539),List(82644165, 8992471),List(8719654, 81534218),List(14199727, 69834702),List(48291591, 89412202),List(35040018, 72407128),List(19902420, 70145739),List(20589291, 89901640),List(10443602, 20694733),List(35414492, 36456111),List(41135291, 89491825),List(324566, 51623298),List(65485847, 78558867),List(19287592, 47424058),List(98821154, 73977822),List(5310021, 97074730),List(10831755, 31926716),List(55947871, 77756875),List(92773464, 12411087),List(31906029, 45318775),List(14093589, 23178081),List(1972455, 70239138),List(73908900, 94399460),List(94391777, 72964255),List(9091375, 57518140),List(22860498, 5451016),List(75170712, 28769604),List(64330184, 39942985),List(82255538, 65231056),List(99014329, 86935662),List(11000464, 1535047),List(70541840, 58139646),List(30645023, 29823955),List(37451169, 32552881),List(38696398, 50183426),List(36030840, 33584243),List(30026188, 51954055),List(93404769, 12321188),List(4363889, 30292205),List(92434730, 58063571),List(93067739, 89604924),List(91449254, 51635535),List(16199989, 83355607),List(98687428, 86293622),List(39396490, 65933389),List(6521402, 92453025),List(13421784, 97059725),List(22475358, 14414491),List(26425567, 47963863),List(31386148, 70833282),List(7611156, 73326047),List(28845162, 15738230),List(30597474, 66796641),List(18095439, 7207925),List(73548904, 95220082),List(58693316, 9828728),List(6245649, 56927149),List(98093571, 64098048),List(80707550, 64244696),List(15019586, 32956396),List(89740179, 9268168),List(41574064, 56963614),List(12899714, 99255732),List(91474069, 9056090),List(49925561, 95206055),List(2509953, 98158945),List(93260168, 24430483),List(90282526, 13010232),List(38431240, 18927107),List(52511978, 48556921),List(28337351, 32980546),List(54129065, 97390922),List(28165360, 32507746),List(59533593, 11898501),List(4977515, 34864448),List(7337792, 9539435),List(76665597, 84306563),List(27335237, 50153298),List(57493074, 66079552),List(3748257, 31388642),List(87981354, 64721309),List(18554264, 72853702),List(6890671, 68532217),List(41424118, 20925722),List(64749749, 89708542),List(70920893, 11806860),List(905535, 65327430),List(84318808, 53660293),List(43322539, 32593081),List(86037800, 29573284),List(56514360, 57887029),List(69134260, 96141112),List(44259617, 71159068),List(6301885, 85358271),List(62233584, 33262650),List(21043504, 45354909),List(10043541, 82021691),List(53524914, 99779984),List(29307342, 80561766),List(67881663, 34844845),List(73769020, 85161062),List(81323404, 75707945),List(10027440, 67018362),List(1408988, 20748944),List(37459407, 74093032),List(21486308, 70063138),List(58468624, 83927870),List(93481871, 46788725),List(32228433, 32979933),List(10003289, 47748282),List(58825783, 47730059),List(88216827, 94221730),List(47494458, 52403254),List(32617517, 31824877),List(20302684, 64443243),List(17091536, 25927066),List(25970635, 30222580),List(44675769, 45142209),List(59063897, 97455666),List(98747137, 13942784),List(42517214, 27885690),List(49097708, 77468185),List(44581671, 78353392),List(75225813, 82905621),List(77889182, 56657427),List(9832048, 83381152),List(48758594, 62300051),List(56039324, 54995960),List(3662604, 55327987),List(36812543, 70907892),List(97083039, 15927757),List(88392858, 51605431),List(86419857, 21265522),List(8027820, 42416242),List(67063136, 71171747),List(41795452, 51987953),List(67241403, 58278905),List(10678856, 53407212),List(20420882, 37446677),List(72251738, 40531887),List(54116260, 56479370),List(16967069, 68995174),List(53866371, 44794806),List(34509000, 21352634),List(60031140, 27943114),List(29125159, 22487305),List(33497868, 26401704),List(5379918, 5979328),List(57605234, 45951060),List(80989453, 77536078),List(14992424, 95393743),List(95271439, 52146172),List(95694752, 18314087),List(20983894, 46825203),List(83026663, 16197520),List(57902192, 41544388),List(77975313, 46712103),List(92159521, 91770368),List(32337986, 10875722),List(49647104, 4912790),List(95583606, 62518401),List(83852641, 82916187),List(51755445, 11324030),List(25410777, 34595859),List(32613455, 83963200),List(44602985, 99676759),List(23792667, 11596048),List(81456408, 11158730),List(51394562, 11051877),List(27139219, 79373879),List(41762260, 26426221),List(79592252, 48373152),List(70510585, 82976694),List(79473209, 44734646),List(98572659, 29711077),List(92102285, 94462379),List(69472936, 14360430),List(50298188, 64530105),List(32939923, 30974),List(87820576, 60718284),List(64231923, 57729370),List(52484980, 41516439),List(88860809, 82910145),List(55187696, 9331947),List(18582728, 17721086),List(1767252, 56198451),List(17295457, 68004551),List(59540672, 75267331),List(73369421, 65676560),List(38618003, 72564238),List(15011737, 12650663),List(15633301, 65394049),List(53157680, 64427249),List(8910544, 19920614),List(18132120, 51042273),List(24458158, 91655646),List(61480899, 71884522),List(59849706, 69458013),List(85696547, 88025932),List(32197023, 48453740),List(88804831, 69238177),List(54321200, 42260328),List(10175958, 60175175),List(85438982, 15376563),List(50981524, 3589493),List(17780354, 9545608),List(18154310, 66761750),List(98832734, 34929970),List(46106578, 38604562),List(5438202, 67275976),List(31267591, 83491634),List(59741800, 92117130),List(46976153, 70057747),List(79341082, 56307494),List(3868050, 7097615),List(79620995, 38590171),List(73527520, 92695476),List(45873749, 20893181),List(43623213, 96867450),List(51716427, 33188232),List(43726931, 11486303),List(99657994, 17207285),List(48029811, 58093163),List(94431290, 91728077),List(73456990, 39207100),List(91820726, 80873003),List(24767320, 71518203),List(64727167, 55532259),List(95431109, 27713264),List(19388721, 19250777),List(47073174, 23187243),List(28223091, 89229846),List(45388146, 6275436),List(52619123, 30460952),List(69441267, 51587610),List(90449586, 79187039),List(59603764, 27589035),List(71141125, 37825586),List(48205023, 47861817),List(7188373, 90805442),List(73523651, 58374451),List(74562888, 57586049),List(50285062, 45722058),List(74909624, 22756497),List(57879114, 49997164),List(28676041, 85830845),List(70431177, 13813788),List(37616233, 77388823),List(27052078, 93073610),List(33803868, 70984037),List(39815609, 41039976),List(25695519, 34227297),List(93337381, 54233673),List(27382639, 22660976),List(15790212, 2977144),List(9931019, 72517407),List(33869827, 44568476),List(46460464, 6956337),List(56353571, 37877277),List(66347408, 96117784),List(17312275, 4532000),List(98509199, 32662291),List(87021052, 10680176),List(54671149, 93857520),List(35791195, 36325201),List(11540880, 51443157),List(50596332, 72177359),List(9290042, 37176472),List(38829510, 45217058),List(70311669, 30080240),List(64125943, 41874393),List(42935345, 29635549),List(74276449, 80557013),List(69125935, 3593315),List(8516728, 43784928),List(69541740, 29662928),List(35818591, 39899628),List(34599357, 28021359),List(25835659, 37141544),List(49830203, 43521454),List(2282907, 48021924),List(94571164, 70930437),List(53334086, 11498803),List(26141834, 62519411),List(41772749, 71426959),List(9715694, 6914273),List(65214846, 42265266),List(46156394, 64284085),List(1217516, 18896476),List(14868729, 23925070),List(72688234, 34061493),List(44580151, 64068947),List(13439551, 6878103),List(44916886, 9915533),List(48079048, 50473752),List(58830247, 98738423),List(28219018, 31100520),List(37731126, 28910977),List(3767980, 55443849),List(76348705, 32915158),List(34550190, 55785213),List(47953356, 42457557),List(82249606, 87927385),List(3472325, 45144462),List(1568364, 98233747),List(7962458, 51128271),List(26797571, 66776130),List(99891145, 29761915),List(51214235, 17064829),List(30748473, 17152922),List(52700035, 70744488),List(73625660, 22829822),List(32626125, 77063241),List(46139413, 41756746),List(13676210, 46219084),List(46286798, 97762157),List(38394287, 45279590),List(39464515, 59443785),List(43784172, 94968358),List(3780027, 14807033),List(54395749, 92408213),List(84272529, 13305961),List(49785165, 35994058),List(29567311, 66440003),List(73203365, 39993757),List(23671823, 93290354),List(77625467, 17416592),List(95360146, 35314974),List(84803766, 73568486),List(6284546, 80352918),List(63024770, 58199429),List(85194128, 95449030),List(35395191, 72963457),List(76740418, 66023654),List(84928521, 46233798),List(63046663, 4800217),List(93096038, 98158636),List(44510891, 77969059),List(73695049, 66426920),List(61511920, 69997318),List(59479275, 57877091),List(27490835, 35766186),List(64711543, 87614360),List(14517175, 90090985),List(9376117, 85339440),List(14865416, 24844273),List(82087650, 1040764),List(86501430, 57977296),List(53994978, 42429578),List(49750341, 59521015),List(15106024, 12154864),List(26903534, 48476507),List(58705425, 33204376),List(67704352, 70877407),List(21130646, 60770294),List(91424219, 85847790),List(99007520, 90600102),List(65302616, 21481063),List(83982920, 84720091),List(18948259, 7725408),List(30273148, 93498032),List(19510569, 56570744),List(55178054, 44127871),List(89551940, 82005364),List(81327492, 13830205),List(35013023, 41198861),List(79242750, 84492204),List(38289649, 25128067),List(13757307, 98763612),List(62911304, 14855868),List(3764108, 93183992),List(91305788, 92732176),List(10790963, 77674555),List(43481664, 40363233),List(48488600, 56342165),List(52927673, 58803563),List(58097931, 57866930),List(72083513, 92706514),List(43905789, 70362374),List(91835553, 87219578),List(19606302, 88164753),List(89486877, 11492019),List(35797561, 46010308),List(15943526, 43369665),List(37857192, 64261368),List(80218233, 21986629),List(21477450, 5313111),List(68604363, 66743205),List(6719999, 3325068),List(34554406, 16627080),List(72212156, 45664364),List(90936054, 73130756),List(84855670, 10175336),List(21464212, 61669354),List(21006762, 23601632),List(22121404, 61956969),List(16610232, 89733001),List(32883243, 18478959),List(71886947, 83766988),List(16555743, 56404433),List(32574171, 67166541),List(17984212, 75644348),List(68397483, 22074040),List(55588986, 16865005),List(47005685, 75666263),List(73360274, 36356524),List(85082391, 31880451),List(70668302, 18925045),List(21297248, 49449587),List(53756691, 41491142),List(13840495, 95045016),List(27308166, 73322885),List(77470105, 93803349),List(97026150, 48389285),List(54522091, 31999324),List(68451437, 5450132),List(29025945, 42120412),List(10244675, 53069351),List(48894931, 9278898),List(83592634, 48801426),List(59358119, 4908052),List(41953013, 13440150),List(68263951, 91285353),List(3220170, 74542304),List(96431778, 69552982),List(66080266, 10180853),List(946807, 16611910),List(90482867, 42378192),List(28801227, 63895741),List(3026022, 72390427),List(65700295, 440183),List(15596937, 77089992),List(60342410, 82364789),List(96238709, 87938215),List(63986787, 8040207),List(22516092, 45933417),List(55110158, 39225333),List(63064508, 21719338),List(32027233, 2986734),List(38050221, 19759759),List(72679043, 5950799),List(44300146, 56943999),List(41223734, 60076187),List(68344532, 1311677),List(72838600, 39176591),List(79006525, 15199352),List(69100918, 76389868),List(23739649, 98553424),List(6341402, 6136747),List(11095811, 2382567),List(98889085, 97101499),List(52504568, 98720369),List(41835715, 51028813),List(26162936, 15871926),List(82993503, 32906924),List(75150388, 62331956),List(35611828, 40937905),List(28379591, 35738713),List(66234290, 86205536),List(5445718, 14731715),List(29073735, 92817169),List(46280838, 25307575),List(29158974, 77087881),List(96994736, 46786797),List(92348107, 10100925),List(61892313, 4994912),List(82870395, 94741468),List(68330584, 84835702),List(96881793, 62233605),List(48050627, 89809923),List(22462434, 51234448),List(91058732, 12390616),List(26014156, 89284502),List(31555970, 1726382),List(96798237, 34574724),List(41731629, 48963972),List(82519223, 10452936),List(34060692, 85391051),List(61897363, 59722332),List(5018210, 34335095),List(7609057, 75767169),List(88623974, 77968646),List(91386800, 92074354),List(50741263, 28104647),List(18558471, 37800705),List(15158346, 17215015),List(97969477, 97431511),List(43316735, 5301297),List(42297158, 82889659),List(75242796, 99312945),List(50808917, 36279747),List(98234006, 48306346),List(81180812, 64873315),List(98028975, 16705769),List(23385781, 73471062),List(64789000, 60464827),List(23315838, 68283615),List(73645187, 95247612),List(4963075, 69348955),List(94838126, 3522914),List(29608510, 24825139),List(39861673, 98165656),List(30506678, 6327064),List(4061051, 77825226),List(28489574, 75334688),List(81610751, 14219635),List(96323022, 20745300),List(19315666, 78663000),List(4653237, 25154076),List(67365231, 31304013),List(94145545, 8900531),List(67205925, 83803304),List(57545988, 63288031),List(57057451, 79524539),List(72246062, 72177637),List(79241318, 12277199),List(74500081, 90780223),List(72925616, 81729763),List(8681884, 70400662),List(47858218, 5507493),List(31102957, 59360741),List(54193029, 17524557),List(14861665, 13154416),List(19238010, 71957727),List(81861885, 81601996),List(27514026, 60705449),List(90755389, 59146763),List(53547209, 70656754),List(79989367, 2070508),List(70425205, 23959657),List(60269512, 40127548),List(28546343, 51723152),List(2647765, 19717137),List(89720892, 89344136),List(23813405, 66859995),List(34306472, 16694671),List(85072478, 24440112),List(17856594, 38664110),List(28490637, 76951516),List(4705768, 13270011),List(91444593, 45520981),List(99983583, 29648485),List(48595571, 2936293),List(79583250, 65930045),List(7772920, 42840147),List(4473588, 55252897),List(95091930, 75724712),List(38595997, 19964545),List(36009982, 28740647),List(16200686, 43593054),List(30845301, 98045876),List(30083288, 77077494),List(22437192, 57616918),List(27997193, 29016626),List(35010846, 50927897),List(9949300, 77078202),List(16052402, 57463702),List(89234021, 1482518),List(19320455, 84444045),List(58118904, 83715385),List(20306921, 53326047),List(6792176, 8052483),List(72227033, 18626880),List(17494634, 22443179),List(14618473, 66515690),List(51569827, 77617958),List(97550385, 49239696),List(28238743, 50258983),List(45744575, 83176835),List(98513273, 20803621),List(6247346, 54789911),List(2425246, 38033779),List(88224489, 85215853),List(7398959, 39849846),List(76860918, 65034516),List(11505463, 90787876),List(50843005, 87369046),List(36103709, 16209471),List(95422412, 19755913),List(83177321, 45400669),List(384316, 17090675),List(51328071, 5345346),List(24023493, 58975284),List(313057, 96110481),List(39150580, 78803628),List(51068415, 36220282),List(68511410, 97076353),List(74899693, 61846249),List(15135711, 68640399),List(3803861, 37738676),List(76563266, 50122044),List(74346774, 14460654),List(76336922, 48155939),List(47085075, 49107591),List(56215029, 20805348),List(22804271, 48788973),List(82766877, 90649311),List(31115310, 56155551),List(51444114, 38354341),List(66148168, 3876073),List(7399454, 43078588),List(89342088, 15301384),List(66022059, 52653690),List(27649933, 71997787),List(59649723, 23236340),List(95266055, 49662353),List(52600821, 90075839),List(48445671, 92113831),List(43157146, 68010234),List(41851658, 21068606),List(65131793, 6055140),List(84284363, 22222037),List(4701937, 7302883),List(50655021, 93077182),List(54085478, 13774191),List(83026007, 82172556),List(62511338, 84852139),List(24287280, 78615658),List(80808160, 5937587),List(18694206, 90494030),List(34055416, 3458587),List(31295006, 45288019),List(45191492, 65524240),List(36069112, 6245677),List(50484390, 1821069),List(33554105, 59386173),List(43092743, 19507509),List(72178735, 96208090),List(9852246, 6392757),List(14711814, 73117929),List(80537126, 54459801),List(49795910, 14799798),List(59305080, 49755781),List(66951499, 65422572),List(41574603, 37946850),List(90768534, 50593618),List(46843856, 70600782),List(36408885, 25379376),List(58461867, 13441866),List(57991345, 88138380),List(66592751, 41568636),List(80932169, 91987171),List(86830681, 41858557),List(39537080, 314738),List(94945748, 1122846),List(43047553, 87139590),List(49367589, 69597929),List(6592103, 12903539),List(77413243, 20234320),List(56252298, 70700776),List(82705582, 86074064),List(13731558, 40413334),List(15700064, 67521052),List(68115718, 60289947),List(83918440, 66123292),List(89411272, 554423),List(98216804, 99530071),List(81223050, 51755843),List(49535182, 85581494),List(37998430, 25501412),List(19345983, 79501035),List(23528537, 57923237),List(8463985, 58778088),List(97140393, 14834707),List(30758837, 82712376),List(26865851, 80082380),List(48554276, 44001426),List(73260853, 78280885),List(17338926, 33898871),List(22099496, 60252210),List(28787383, 77030126),List(48171351, 68208992),List(88373416, 95792561),List(3927695, 76322348),List(94591550, 43195463),List(68026808, 63785470),List(88846904, 65091116),List(4259944, 11439072),List(76305925, 49486920),List(89476957, 88538858),List(9497662, 44616339),List(56495078, 51141215),List(14765200, 58247442),List(60352490, 16700917),List(6616106, 48117575),List(84677748, 78586108),List(85352967, 93247755),List(41460668, 27382765),List(87934264, 4439229),List(44799792, 23369731),List(65272157, 72706477),List(59079196, 1348167),List(30468222, 51677063),List(67255742, 85200914),List(94162843, 60117519),List(4308629, 31925969),List(43383271, 61375555),List(25340630, 57061356),List(72980895, 4952148),List(74659520, 57113527),List(51466563, 44758769),List(51507065, 90805411),List(32991874, 10015831),List(42668092, 8825888),List(92478536, 46482132),List(35059645, 14548925),List(17862089, 30757944),List(71769853, 36065308),List(58807989, 70296615),List(31520158, 15862583),List(16224959, 32976686),List(24194547, 91533120),List(49875009, 84563829),List(70326181, 8130148),List(45032007, 70293808),List(33915469, 55998426),List(94132696, 30682006),List(23033181, 2458517),List(44147101, 18400332),List(8997382, 39901039),List(67732033, 22195854),List(70133630, 28788864),List(7461931, 913385),List(61663608, 2975873),List(44097782, 55694987),List(8763664, 80021625),List(70930432, 20513126),List(38072109, 70037748),List(32514847, 37248859),List(85638986, 42300018),List(41775942, 65347468),List(39360411, 69523075),List(53723874, 55693236),List(92012637, 40583447),List(18701573, 83996351),List(55537689, 98413387),List(75060090, 91632181),List(85405275, 45777415),List(36922343, 71223028),List(88503967, 18537314),List(25231646, 28356387),List(20577679, 3745839),List(25260343, 37796592),List(45594967, 88537425),List(70402849, 42739182),List(39864974, 56297617),List(51809949, 67414622),List(18943071, 65080127),List(79195943, 90025235),List(43023045, 90055035),List(10729804, 61460322),List(11256779, 83402703),List(76241784, 80650734),List(11463849, 20552116),List(4149977, 5743480),List(1520025, 54540479),List(9218484, 38311779),List(73111600, 5158273),List(99334251, 66841141),List(59733412, 58362436),List(15734497, 88291013),List(47214793, 8005570),List(84358540, 5908281),List(49912755, 7985928),List(35532469, 12458844),List(29569465, 31051105),List(24574107, 80129654),List(52621527, 35344476),List(46186477, 69672552),List(28995976, 16009697),List(75970639, 64779989),List(59422577, 33175279),List(55626441, 52601981),List(76000437, 38812786),List(44349127, 53632366),List(42707619, 27364181),List(88732751, 71580672),List(13596751, 20317977),List(61786347, 70108273),List(12138647, 30665407),List(47762584, 80219357),List(6387135, 75402410),List(74948549, 46183669),List(72388742, 57066067),List(33167934, 37167037),List(65809907, 85366906),List(6146213, 65284833),List(42599110, 4904047),List(52707183, 53289052),List(64026106, 98264148),List(5262628, 17229704),List(70031243, 48164505),List(44727533, 94903545),List(46353096, 57401361),List(72886222, 62463204),List(11989820, 89474960),List(79612725, 54574002),List(75654381, 22206735),List(86411029, 94121468),List(92808618, 98731568),List(73450779, 13637263),List(51385456, 95605662),List(34015179, 50929958),List(13035485, 83633996),List(2278209, 75752306),List(20164006, 33511000),List(92872757, 81840332),List(89672506, 3811200),List(81297891, 71981857),List(45673517, 13160610),List(36750534, 70018635),List(71356303, 11740720),List(27193333, 39002823),List(87490604, 67059974),List(54877666, 36199038),List(80704892, 67676905),List(68408779, 55385064),List(78412326, 32641946),List(70260491, 33489712),List(44483872, 71777080),List(50511868, 43401592),List(2788156, 434263),List(31530843, 39086819),List(86833509, 81464958),List(64819793, 36634234),List(49003115, 77338898),List(82399216, 9314122),List(39298939, 28020752),List(1069339, 2413131),List(44530507, 72848562),List(17125128, 60369004),List(80218044, 26305957),List(73398479, 19881397),List(53678154, 96418306),List(18877798, 68415447),List(54373794, 26490832),List(7225808, 21563662),List(16948247, 69477124),List(16814436, 9984416),List(61173360, 66734609),List(97785493, 66599619),List(29800469, 12275354),List(14621189, 92213673),List(89246335, 95407660),List(53393020, 66475052),List(95339410, 29950443),List(54578612, 66665157),List(24052789, 92581234),List(88374931, 57330817),List(31510357, 45636046),List(97247008, 85452127),List(46291418, 90201539),List(20403247, 68855649),List(63259439, 28962891),List(15061501, 98596911),List(36971171, 63512569),List(97088668, 18379753),List(44016392, 76049903),List(45417749, 15720782),List(344550, 57282073),List(91788195, 8779950),List(35622917, 30712787),List(4764000, 44041244),List(53872422, 22526089),List(19837350, 73769094),List(36036461, 34860175),List(7366809, 70949223),List(41462463, 35971437),List(86683124, 19676093),List(15803734, 46934991),List(1385100, 92810178),List(34463023, 53305284),List(68513081, 14374672),List(60640960, 35589463),List(17488707, 27700255),List(78544280, 13509674),List(29068283, 64186411),List(37494538, 66478590),List(16634915, 74024045),List(98194799, 51746913),List(62467100, 31698989),List(7715057, 27683331),List(18132571, 20549318),List(65734705, 76236911),List(21123710, 15367337),List(93680574, 72827347),List(7951959, 73287371),List(81499950, 10510747),List(63935345, 23326150),List(95899509, 13076782),List(41748857, 49082593),List(21944787, 64439838),List(86931833, 24940392),List(37830254, 14486076),List(53792601, 57602742),List(64074683, 51539145),List(55019678, 73387066),List(14040246, 20018694),List(53200145, 48028637),List(6243798, 77325536),List(60425974, 62087099),List(6745887, 26410623),List(87796737, 33683881),List(16451996, 440496),List(33527303, 52348),List(96666893, 80478558),List(74549797, 63699769),List(15123852, 59902071),List(95564405, 62094509),List(59535169, 40883882),List(86687105, 75882430),List(95373706, 5821170),List(77860056, 63902623),List(62348725, 70764364),List(16506157, 22798451),List(66825817, 52091730),List(15534104, 78128736),List(78602704, 61262979),List(69356326, 58555346),List(18739734, 50664180),List(22173972, 76230766),List(36959343, 4313707),List(21396743, 15008179),List(15283034, 83237223),List(94142647, 19634256),List(99145080, 17784733),List(73567351, 88710216),List(94109105, 8695056),List(44996112, 32558428),List(78879846, 41170125),List(4206547, 9218435),List(13691845, 41627014),List(71342129, 41180699),List(8300796, 13605281),List(38263223, 44160795),List(9331685, 44796367),List(75784314, 47415119),List(95069275, 87308434),List(74960499, 97060005),List(61636431, 44178544),List(95262517, 8254181),List(51229386, 98512107),List(24794962, 81023464),List(21153924, 11837036),List(87230776, 66118458),List(39002217, 38058941),List(82755529, 58582158),List(40962805, 11047488),List(49252530, 14010928),List(29809997, 90128069),List(81766820, 88456688),List(51672349, 84242879),List(6160735, 73386524),List(67030690, 40730042),List(1905333, 96582873),List(19202036, 90350557),List(49152865, 90873285),List(61124160, 49517246),List(16754194, 22785628),List(49466232, 54001236),List(78546593, 6694160),List(58478837, 25229343),List(26131539, 97978348),List(8493460, 58782304),List(87358812, 1591375),List(30777210, 14004814),List(80420601, 53219272),List(75958808, 23406000),List(28413628, 42793456),List(98518600, 92317428),List(81425638, 28981468),List(97338840, 3920366),List(85228336, 17468930),List(8693502, 5309560),List(91706065, 34126684),List(74957491, 22277200),List(42426334, 66039045),List(31859196, 69471756),List(42922934, 47087469),List(83973248, 13180437),List(45736130, 78331614),List(70706004, 52697598),List(39247510, 96439045),List(42559746, 2018025),List(56335677, 59485459),List(84568070, 22862241),List(41075529, 67595758),List(94259609, 23241762),List(23208693, 39071457),List(85240800, 18586632),List(42200623, 60108231),List(59313379, 6639596),List(59892073, 81641156),List(46378318, 83873987),List(46218941, 8201032),List(50409924, 15212559),List(2760953, 17589359),List(61036555, 70503640),List(15687947, 25771378),List(39826863, 58586501),List(28488221, 63875727),List(7034752, 15346235),List(18582351, 96763668),List(78635946, 69580804),List(39659931, 35752486),List(64350765, 45487826),List(96116206, 2011734),List(62811021, 5445741),List(68659486, 95634720),List(70584221, 58596909),List(15340395, 84951043),List(7462034, 57675796),List(9854758, 80931577),List(5324453, 63829482),List(23774016, 49726164),List(60689197, 3892524),List(48391629, 91825614),List(28209394, 79475484),List(43822869, 38228113),List(13588870, 82379066),List(79493152, 45249960),List(61040098, 31155427),List(64592311, 80764245),List(4179290, 7653113),List(44672818, 21198203),List(27467396, 53889936),List(91970112, 55511482),List(39244854, 36841774),List(81227819, 76701661),List(79635211, 34049055),List(76106751, 85931296),List(45808399, 45245640),List(25737562, 49845525),List(53585887, 78770215),List(95947019, 15687122),List(3145505, 22684317),List(19606485, 12587842),List(96076310, 42923642),List(15097879, 17796651),List(21879456, 5593631),List(362748, 41056363),List(27169170, 28933891),List(40245380, 33277203),List(51096056, 31865828),List(60900678, 59018065),List(48070643, 50382590),List(97560568, 80496935),List(9577582, 55635611),List(96146651, 25531397),List(8206642, 8001864),List(21265062, 81507618),List(47470695, 27937846),List(81720421, 57283592),List(78818699, 41493714),List(49463971, 97638997),List(93718947, 67108938),List(1672502, 60411136),List(1526010, 38968408),List(82609792, 53492963),List(12464146, 37708233),List(15621255, 84155560),List(48569637, 81482095),List(94482037, 89336522),List(32467928, 45316302),List(28182723, 73445154),List(44013364, 71498184),List(77871861, 43516684),List(35446933, 69784412),List(24941865, 88234462),List(95451002, 25302223),List(15768393, 29253572),List(76785003, 36622105),List(37888518, 80106094),List(90823478, 66544040),List(77103603, 46892462),List(64680439, 19348857),List(49832316, 1392856),List(59982005, 5015673),List(95117556, 98582357),List(13064974, 30359753),List(62206335, 30859070),List(22425412, 25619809),List(54474833, 96529384),List(89831933, 45874469),List(13690641, 79344441),List(39769018, 81562121),List(74046029, 47788283),List(39362404, 93061785),List(13166039, 21591385),List(44375449, 67128160),List(50664881, 24034008),List(36343939, 8561434),List(14407650, 52666954),List(59908964, 75769816),List(27781285, 22570882),List(85192113, 96345275),List(5590236, 16574716),List(19598207, 56453410),List(47315915, 61071044),List(54616736, 51140309),List(27145470, 15556367),List(31620035, 67516924),List(64830966, 67890467),List(31081453, 92476230),List(58066886, 47473103),List(2903867, 22361786),List(83176276, 43864144),List(74317359, 14573822),List(65364094, 49687564),List(37067207, 63376036),List(85038819, 72567481),List(93727365, 66642268),List(30481537, 5887262),List(43564917, 91660126),List(7568765, 23327737),List(67766393, 73158366),List(46199344, 95855495),List(6559311, 29219120),List(75687520, 30480840),List(16927851, 14775606),List(60663003, 12508794),List(642614, 31620774),List(61183210, 4387523),List(78898295, 43415150),List(23230085, 56243157),List(41167814, 71484001),List(21477530, 62915362),List(33005765, 59509865),List(6679139, 76208573),List(50108098, 72325075),List(3418369, 55047442),List(66831589, 87180156),List(52953153, 20466562),List(15914820, 15070367),List(15063608, 25106608),List(16577471, 21819529),List(41979450, 99250765),List(51575639, 44940852),List(1856676, 92608483),List(33462496, 35268342),List(90822481, 7700637),List(37180125, 66786937),List(13582702, 88488338),List(73757033, 6675862),List(38051208, 44374534),List(20070352, 12159827),List(79253639, 13818298),List(97529640, 95732516),List(66094932, 95750162),List(95759612, 61261992),List(11933801, 34622692),List(9308341, 85457049),List(51413940, 16286795),List(97436059, 53952563),List(55606644, 67555788),List(23231465, 46604628),List(63928883, 37703589),List(3867289, 63590179),List(74457026, 89899224),List(44811363, 97303793),List(50633841, 24118912),List(19150130, 52129671),List(69174470, 31017541),List(80281480, 1605057),List(2404871, 62602575),List(921842, 79959676),List(63954057, 69016254),List(68467100, 43586359),List(21143447, 39439829),List(74680763, 64404252),List(98942610, 80530823),List(28693590, 85621923),List(51605054, 28596464),List(92733875, 50293963),List(70302543, 63346097),List(68267149, 96418523),List(63365117, 7562630),List(48403573, 59888740),List(807238, 26317050),List(37884397, 7847670),List(6964444, 70112080),List(70079200, 39368619),List(99217514, 17934235),List(82395013, 13907575),List(41345207, 753018),List(93615798, 13227075),List(47818856, 66622402),List(68818916, 43155626),List(13345669, 25076733),List(57584482, 42497745),List(76982139, 94363007),List(50638986, 74719613),List(53897985, 56631731),List(29352424, 88827996),List(72140801, 64065130),List(27407746, 93110619),List(727958, 51900490),List(22188382, 44480325),List(80491253, 59670124),List(88346988, 56037301),List(12063322, 65972735),List(6967834, 15020675),List(65682333, 15370972),List(95966070, 30478508),List(96900737, 748725),List(97691252, 6701890),List(17933265, 49223722),List(98665460, 99550805),List(75313974, 14710143),List(33452623, 31405055),List(47331213, 72475541),List(72847218, 78889260),List(14181764, 82367989),List(78101452, 74542118),List(23133052, 43536134),List(56312112, 29240545),List(96412400, 13952841),List(3803323, 40869487),List(67222948, 43979472),List(8626819, 17429100),List(1333726, 63999424),List(73880211, 98100987),List(71408568, 45391419),List(33742942, 15354715),List(19785124, 63298402),List(26886303, 58548098),List(28308611, 118912),List(53978953, 4462776),List(53471532, 66413454),List(53978818, 52887239),List(42070377, 64590502),List(85943016, 58548608),List(49189419, 95637360),List(89568610, 46439241),List(68501369, 30953373),List(68489282, 24275043),List(30751110, 54483707),List(34778500, 84306219),List(8730334, 1133820),List(35792163, 94065553),List(57495160, 73510381),List(788168, 13829711),List(69281683, 36126482),List(87515476, 76678420),List(77790149, 97703706),List(41430981, 17540671),List(33524828, 63822234),List(63279617, 67399478),List(87989249, 99420769),List(28557344, 6404914),List(88022897, 86211068),List(33795853, 86007633),List(11418553, 76370954),List(10539873, 36762984),List(6887853, 24343749),List(52178997, 18267108),List(53535609, 36939557),List(49276100, 38029496),List(2139158, 52956664),List(99823746, 93023880),List(51443125, 4378597),List(19128133, 4210642),List(91295527, 8742813),List(65367868, 95342449),List(76874893, 98729032),List(15194172, 97456709),List(79487739, 25756010),List(3588646, 98784927),List(7830073, 4763840),List(56430166, 84991082),List(51054780, 7584162),List(78646700, 3231537),List(80996404, 13176692),List(83374193, 50425753),List(95495943, 11819144),List(85143647, 11581748),List(22934036, 79551504),List(32269434, 33699040),List(15427679, 83193310),List(96592946, 71748454),List(20298029, 2416613),List(12983580, 74319136),List(9306495, 52993247),List(59039584, 95373977),List(1271017, 89542512),List(8562807, 7664681),List(38574326, 17175120),List(51861498, 74445856),List(71153841, 12770033),List(51507300, 72385073),List(24302868, 7848815),List(22266351, 84492291),List(8759492, 34705210),List(3628858, 63561590),List(30825314, 19684263),List(33252723, 62049054),List(12022451, 4541452),List(93718320, 6609453),List(52122503, 75373374),List(70486862, 56352277),List(942558, 96513382),List(58336967, 8669709),List(46359861, 97047092),List(15567465, 19696554),List(46960908, 68148218),List(73839365, 30305150),List(31204864, 40166775),List(27177556, 19530355),List(95555007, 2259752),List(34089336, 63143994),List(71829059, 48808870),List(95336996, 70573194),List(76064470, 82765018),List(87930967, 71363381),List(60019873, 69528400),List(34648171, 60014992),List(17180362, 10161047),List(1963808, 6547484),List(65132852, 78708503),List(71132115, 39073785),List(90084542, 29163572),List(82785723, 98268098),List(26837700, 86379196),List(36933392, 94009623),List(38192392, 73651109),List(6405347, 36813801),List(24416544, 44414375),List(6880987, 29905526),List(57401645, 39370273),List(17513419, 11443718),List(5284470, 11942449),List(84587324, 87563151),List(28141315, 27804103),List(80828257, 58465481),List(3047633, 35007514),List(82197611, 27321011),List(68145507, 30290578),List(25214261, 16462860),List(63744260, 21751552),List(61477788, 45832801),List(22684864, 72877277),List(77252726, 82499772),List(38880854, 21965009),List(24513139, 77693820),List(96065497, 81489659),List(47527686, 62969862),List(16029579, 77397148),List(61528869, 35146065),List(62953550, 67718784),List(15872755, 70007748),List(4786784, 85243580),List(30387802, 66700728),List(68628755, 17938983),List(55096913, 57088694),List(17917833, 76272389),List(94227732, 65010096),List(25180659, 39245645),List(88496523, 43280491),List(57303707, 57024712),List(9649628, 72754397),List(3658521, 774252),List(56059500, 6375479),List(69922559, 89131474),List(73964028, 71202882),List(80843619, 46211237),List(98020816, 37496619),List(93330784, 20534507),List(11762985, 60768612),List(11512377, 23726705),List(97633493, 42376946),List(76691243, 99089863),List(74357141, 97282737),List(44790295, 55809695),List(43679962, 82553883),List(80806569, 52770968),List(97039687, 14353381),List(79656001, 20309043),List(80197621, 71566457),List(10356271, 95265212),List(49146857, 97307626),List(60489096, 55545551),List(29349881, 3830624),List(57490670, 96204228),List(9010572, 40103124),List(95229515, 91293452),List(4169631, 29828925),List(77696980, 56437288),List(9728902, 18325937),List(23338568, 21930775),List(42295233, 14378788),List(71672559, 32151232),List(52263513, 76677620),List(71521651, 39997758),List(66949779, 97835233),List(39367342, 38464823),List(3773489, 15256876),List(49006029, 602178),List(97735416, 2706800),List(19128291, 29126408),List(39949139, 74299811),List(70307824, 40278240),List(48401899, 45894821),List(84149274, 2943701),List(28328911, 93012627),List(94511931, 93183462),List(2716641, 45987070),List(74908514, 46796094),List(15758044, 98322406),List(11929017, 87034104),List(21476453, 66814150),List(9222412, 10139418),List(8574740, 43944295),List(30278020, 47822176),List(77216017, 61812562),List(39778831, 53082051),List(26441324, 24621110),List(31521364, 27271274),List(51479971, 46959511),List(6726517, 73293991),List(21513205, 32271059),List(69631192, 79933671),List(45606210, 92215424),List(33199470, 35099214),List(60667914, 88327539),List(77666972, 16770582),List(8923774, 89903533),List(60866608, 44191193),List(87867558, 12453276),List(89813613, 43309486),List(79950152, 87531092),List(50992108, 18286583),List(67411886, 5933834),List(17584134, 58607289),List(19537073, 14418993),List(34055652, 59027419),List(6230113, 99382032),List(44371984, 68906005),List(43679749, 30195009),List(6196425, 63633229),List(25519203, 30474366),List(8407837, 9709228),List(44784652, 25574705),List(40547152, 90576957),List(6024290, 42034607),List(87839588, 56214140),List(45977809, 39900615),List(14384648, 46685353),List(54725566, 54928631),List(60396828, 65913241),List(54095381, 58928398),List(19366349, 52649669),List(77509021, 47784205),List(77802632, 42777277),List(96248490, 21842249),List(38629202, 25267659),List(9303371, 42076030),List(79142411, 62012432),List(14720876, 24678650),List(5444549, 44152899),List(62033037, 83285931),List(11735172, 8336714),List(64398308, 57406720),List(685921, 1370867),List(88115360, 14481821),List(5052459, 47807815),List(64426859, 11938312),List(83055715, 52680341),List(1162279, 98981335),List(63053142, 95651941),List(20512848, 77423180),List(47998335, 91184755),List(259487, 45902437),List(96697486, 53870847),List(97236639, 64807277),List(65856941, 63750189),List(18328019, 32103928),List(24735237, 69188617),List(83056626, 45596762),List(62035317, 70081669),List(14209621, 83238285),List(34030553, 76273073),List(31000283, 80378664),List(39308893, 53516116),List(60763200, 31819606),List(35600072, 19112383),List(4189108, 87922161),List(51684592, 58868229),List(86084590, 10203920),List(60825931, 10623942),List(52223455, 12666007),List(91701442, 96799959),List(6086005, 62824938),List(73062134, 12203453),List(3021689, 67688584),List(23564179, 307681),List(27275253, 28166608),List(99965416, 23383053),List(71698172, 42929835),List(17638603, 96603975),List(50472867, 54780206),List(86925440, 3339710),List(83733146, 17289048),List(15081240, 69904988),List(81977073, 8819500),List(47112858, 56203723),List(42303101, 4660709),List(57293068, 87491000),List(81288918, 69339491),List(4429463, 38008026),List(72513919, 39568446),List(8588391, 42855607),List(71175038, 80812352),List(41860556, 60927322),List(46189682, 50536323),List(82156586, 89105886),List(53720381, 46424048),List(53472872, 75065542),List(35739341, 74924106),List(17879677, 92852700),List(83279493, 82982479),List(20157294, 25044881),List(15267429, 37667039),List(1877916, 12691119),List(26736375, 60220998),List(65142648, 99372341),List(12255066, 95387119),List(83179450, 83614951),List(68038108, 40801337),List(65538318, 21506459),List(5862508, 9204607),List(18403509, 15655992),List(22156536, 17788743),List(71550946, 27470291),List(32121805, 78898343),List(70583246, 72142698),List(54804567, 37796607),List(22238984, 67907995),List(85017580, 22994323),List(46275736, 49074662),List(50748223, 54970656),List(41247924, 20900090),List(60942996, 82820377),List(39517994, 4290407),List(64614163, 74369335),List(20962668, 99339871),List(7697392, 22458102),List(42263193, 38268601),List(81936678, 56527067),List(51754553, 26197312),List(37907205, 62844431),List(48488133, 27725927),List(14205511, 9064914),List(98722084, 28645054),List(82632947, 46607462),List(20234648, 40441537),List(23985416, 77837169),List(58197315, 29284079),List(34961524, 98733188),List(19261543, 13982417),List(60703232, 5928426),List(72717975, 1257146),List(91312747, 49993604),List(50492192, 85155805),List(84197967, 10451910),List(55920015, 53335746),List(57030768, 19791802),List(95561760, 11846448),List(53156445, 4911704),List(16173765, 77865623),List(43896160, 67914241),List(72575234, 37237703),List(32409258, 41457369),List(77538662, 43813819),List(3198057, 62422011),List(21302077, 43754455),List(55310578, 3074809),List(71843635, 62760460),List(8018175, 4543162),List(68751727, 24060151),List(80261366, 32134648),List(13738706, 32236422),List(69026637, 27667764),List(7688545, 4773412),List(57902929, 12953391),List(56320604, 20917777),List(26355675, 93804669),List(7280302, 1404691),List(57569094, 59228880),List(71370559, 61845052),List(11640057, 20942369),List(81579847, 66157121),List(64948619, 854090),List(71279879, 89463688),List(73360820, 15485350),List(37097421, 62382278),List(49827826, 27230644),List(49203231, 97112514),List(2271932, 33458831),List(5801531, 98714820),List(11922657, 60083220),List(50019187, 74617007),List(50701943, 95949898),List(15304445, 38893501),List(49533563, 72579640),List(86703815, 26179721),List(37626746, 32231264),List(42956657, 51478582),List(85075851, 32033378),List(74203878, 44184451),List(6164904, 11311388),List(65347227, 13466262),List(33881887, 57631658),List(49997913, 6700152),List(18584975, 71795804),List(50823290, 78984381),List(84564186, 9043935),List(14461061, 61182707),List(1811756, 63052163),List(53986536, 48555165),List(94490885, 97725587),List(19503616, 7149820),List(47227543, 88051186),List(84099600, 41396785),List(83580751, 31713400),List(13281601, 56323297),List(19702999, 39241399),List(36198518, 50952807),List(70062117, 57112035),List(33369361, 532975),List(76578699, 59522412),List(98467572, 30613269),List(94755185, 86218700),List(64632039, 41077712),List(55894785, 78549535),List(53635812, 81827061),List(96665116, 31578819),List(41797706, 24315874),List(43600984, 13418386),List(12031236, 12642198),List(13869714, 52501809),List(76063585, 21329517),List(97097318, 7667765),List(16486834, 54764023),List(27796927, 57884003),List(74242673, 34510282),List(40346178, 32133437),List(40110096, 11363163),List(11544949, 56862451),List(5427837, 22120157),List(49047465, 11151531),List(53383851, 24299928),List(36391402, 2520494),List(27556276, 96965477),List(35759731, 90624467),List(42935358, 75995348),List(89202382, 64311169),List(32044960, 49196984),List(28146397, 81849430),List(38983174, 98035601),List(6582244, 90133668),List(11329800, 44889370),List(79059050, 97793282),List(6022293, 85006619),List(44270739, 70390745),List(54975701, 25999919),List(16544847, 6414655),List(51223381, 53569522),List(14137558, 43351048),List(55960244, 9484102),List(86965025, 42655724),List(85627706, 6815045),List(54157543, 84070889),List(99679100, 53685691),List(84003678, 10497510),List(29256224, 67190928),List(54365014, 70075196),List(50252178, 72172826),List(84788825, 58243818),List(20914825, 1013245),List(86975563, 10420030),List(65470816, 29666526),List(6258478, 16311672),List(52228495, 96589725),List(16133574, 87858818),List(73108840, 54203147),List(32801101, 29846677),List(27182996, 986532),List(50692728, 55270661),List(48879356, 20882877),List(10966193, 16229351),List(72414716, 98943561),List(38095435, 33433981),List(14333626, 87350371),List(99272096, 82633516),List(33655, 1535206),List(19191248, 50424268),List(91826939, 5211397),List(54841327, 27217362),List(22402172, 62526705),List(9011939, 18830209),List(21586629, 13577168),List(57448983, 48102648),List(87721967, 92944190),List(966978, 76238120),List(66707010, 2378481),List(76637265, 3412130),List(90249421, 3932347),List(6382606, 9187340),List(88613856, 19642274),List(81927341, 6738571),List(70390404, 67870694),List(90844956, 36754388),List(77707158, 35308936),List(10799339, 52883840),List(64281399, 18543981),List(71079224, 59816066),List(34097201, 73939963),List(55703686, 36000065),List(15741469, 2392378),List(98834807, 37774525),List(1094462, 31387555),List(73193445, 2826854),List(3753980, 26035376),List(29795822, 68670296),List(55058427, 34395368),List(2596612, 8725779),List(16195796, 67029679),List(8133955, 16845987),List(74327570, 88079324),List(82127773, 68949036),List(71428140, 55599212),List(86360115, 71758842),List(38602566, 38378501),List(92833634, 32560079),List(83035140, 44175076),List(79871395, 21145031),List(40153274, 39658756),List(98339432, 12750275),List(60476159, 1270080),List(54679581, 16243765),List(85295979, 81204531),List(22142687, 97833673),List(3040205, 83174005),List(61519450, 93713500),List(82649978, 34544851),List(94699764, 47544849),List(71126291, 35395236),List(95923232, 10367972),List(28119633, 12344662),List(87995347, 42670538),List(21680665, 50164013),List(68753578, 87575004),List(37740767, 41532795),List(5561925, 29680317),List(82870840, 8789286),List(96536054, 13466857),List(70298081, 33858161),List(17164780, 9189051),List(24304796, 66039189),List(78277425, 2038062),List(9492565, 121130),List(31714282, 49384800),List(35719976, 86575989),List(17834668, 67916654),List(28598818, 94050430),List(954749, 38430512),List(97393484, 98983747),List(20373878, 7592933),List(23302835, 29097152),List(23476592, 3498950),List(30680869, 9901950),List(33501440, 40284212),List(23141565, 18566448),List(25695718, 44635409),List(30489811, 96003481),List(85413868, 74370452),List(63609081, 26332978),List(83412157, 44851677),List(3996838, 11651542),List(13980839, 50155003),List(96490586, 19824603),List(24506117, 8864631),List(65608852, 69005642),List(65285419, 67148942),List(60425546, 39435447),List(86728005, 63660224),List(89961827, 68068352),List(91511475, 84602090),List(24457863, 64587556),List(66570793, 55673243),List(72774974, 85042172),List(79925671, 33148331),List(85415066, 72845010),List(81938492, 25503077),List(4503138, 18605567),List(66310355, 88991448),List(69133706, 15997843),List(87686565, 4420072),List(70166773, 43180583),List(12241467, 60100679),List(10130856, 23471786),List(81901038, 44628729),List(607282, 31652867),List(89317678, 97059140),List(15173616, 32187635),List(37712709, 46122627),List(26528538, 26344284),List(21167052, 56211005),List(83123061, 79576054),List(18039816, 63279136),List(24503815, 95108839),List(42167744, 22592038),List(11734701, 14444173),List(35830822, 62580054),List(21408439, 61594259),List(78219312, 24274661),List(18392671, 12622421),List(75456900, 83250570),List(7015604, 62513328),List(26976840, 47423310),List(79498995, 55102535),List(41994251, 60817368),List(96942920, 17875229),List(50855074, 17991861),List(22892106, 4231150),List(86617831, 18990868),List(5530963, 76797973),List(93220057, 6347888),List(10884459, 42899538),List(4060872, 35903020),List(22073946, 27440277),List(69995243, 1262397),List(82945240, 13041600),List(94827404, 8443371),List(90533620, 4521304),List(94824149, 16189856),List(97269428, 51164249),List(90858320, 36076694),List(38792735, 27787131),List(91600000, 1708213),List(21193761, 91873401),List(15702069, 77226607),List(18717200, 48670581),List(7057454, 86847212),List(91839404, 5781302),List(83951074, 70349464),List(2548076, 12366073),List(2692180, 41359421),List(78334963, 15493242),List(1214266, 93870781),List(67156502, 55366164),List(84387659, 64155538),List(92725287, 31510149),List(11095383, 80337962),List(38104603, 56197643),List(18688353, 18262501),List(21155629, 97845578),List(7424751, 12805157),List(93285473, 98322520),List(61736875, 83768259),List(83576430, 23074691),List(17265185, 31415601),List(16169730, 5473187),List(97187987, 35244331),List(94859455, 52533678),List(70381142, 28778411),List(76044109, 17399965),List(68441879, 17473050),List(33020873, 22103439),List(59202977, 91220045),List(59660531, 96868054),List(28712522, 29750317),List(76333969, 50681992),List(18300374, 50492754),List(92617656, 74163616),List(36883812, 77489796),List(21804009, 17609361),List(71145437, 76699621),List(56452781, 82104625),List(87877356, 79417229),List(21328532, 59835169),List(50518885, 58337697),List(46375284, 68370395),List(41749264, 5561106),List(36899883, 72436066),List(1747460, 23149965),List(73139798, 44396110),List(74781817, 66617330),List(42301067, 88683211),List(60709469, 76060032),List(65530452, 14046586),List(37966865, 51864701),List(98755091, 2924694),List(41369984, 62475891),List(69285066, 85840184),List(75287668, 37284569),List(32814277, 2268757),List(36976154, 71794866),List(65543762, 8190416),List(86373442, 86916132),List(2038334, 76559224),List(13278772, 45260051),List(9122707, 82610280),List(240007, 49435375),List(22033535, 94280629),List(74379643, 90490424),List(36890601, 6312719),List(99427559, 2659723),List(39326985, 35003648),List(67746856, 24814501),List(5817373, 33493078),List(22736106, 56117239),List(60375759, 88509792),List(81397079, 34204101),List(46697212, 70771831),List(3323002, 10424268),List(1679982, 60752148),List(9382614, 90644503),List(69521960, 18769589),List(74171841, 40817730),List(46315252, 66775531),List(12029836, 39288624),List(84825287, 30700368),List(15184916, 22495873),List(2537235, 759650),List(54093273, 9478550),List(15927179, 9556471),List(23543345, 88398632),List(68341742, 20316878),List(3338533, 73831540),List(1713206, 92329871),List(83362853, 11033285),List(30631307, 81363862),List(28160386, 91341177),List(94867015, 92634803),List(92798345, 17059522),List(16781276, 39946334),List(90018446, 38505921),List(22995361, 63617760),List(20115865, 24633107),List(14756316, 40825043),List(97083937, 99208209),List(99096112, 75051238),List(61586385, 61366349),List(96674524, 43202519),List(51030671, 32504316),List(80476160, 16989073),List(71414637, 19679486),List(83140723, 53732228),List(19982860, 17600133),List(2925687, 18085276),List(74933104, 95521073),List(90801939, 13850455),List(51769905, 19509036),List(85555198, 50216152),List(48930061, 44585276),List(54451174, 15713997),List(7274315, 3665869),List(28164775, 65634295),List(21662849, 87564159),List(15605244, 74121094),List(36258561, 68210484),List(27872358, 79147853),List(63775478, 18845966),List(81047088, 61108569),List(40656475, 60069227),List(53844030, 22770913),List(11544314, 27480067),List(8021237, 21734656),List(34023407, 47656338),List(36485876, 46842228),List(3747972, 37033720),List(48238244, 78189397),List(19823179, 23312031),List(82323750, 84628459),List(56489811, 22967653),List(33233942, 90970180),List(17724588, 92556346),List(29669517, 26141080),List(93723705, 34231277),List(95946800, 97619264),List(20841565, 57703916),List(44671071, 64746376),List(67937259, 77336103),List(71859168, 40732555),List(11814551, 39354587),List(57513822, 42267314),List(88754058, 90768616),List(5303424, 86489213),List(53732532, 80650139),List(98416802, 50679879),List(93790250, 57923650),List(8369405, 76556420),List(42512132, 83401016),List(99842815, 3717925),List(75253981, 27546931),List(40245688, 69579714),List(64439601, 93378186),List(91505797, 9630784),List(49526732, 43461307),List(30031025, 8759749),List(27930764, 87097298),List(54204442, 67342192),List(95550484, 72839255),List(10003742, 70853288),List(90950908, 53334442),List(92214934, 60168991),List(19998573, 96466645),List(11085257, 532979),List(67225882, 71953880),List(61012815, 33345412),List(2862591, 69822182),List(76353486, 43659287),List(62343552, 66145530),List(30952796, 11225015),List(47243206, 36622884),List(59504662, 97301440),List(97752560, 11483870),List(10262584, 22133840),List(48536875, 31330076),List(24318244, 31113521),List(88890613, 80560150),List(40716445, 74511701),List(30457921, 72220354),List(22758301, 17765783),List(45066356, 97268558),List(10664579, 11961942),List(10517808, 85497837),List(37001220, 92797529),List(14823504, 63248071),List(84265132, 69808680),List(9088155, 80483639),List(91365201, 18179617),List(20786074, 38689622),List(92796712, 41409595),List(645190, 76483791),List(59634521, 19303501),List(40908430, 41669990),List(89104103, 25975341),List(71481829, 67980629),List(17497460, 38373245),List(82405040, 74360876),List(70336526, 40580131),List(15929325, 92926957),List(37906088, 14416050),List(2520429, 39099987),List(55283292, 68206926),List(55875731, 31273459),List(15442182, 8100560),List(97679986, 34330804),List(24189355, 21029507),List(59765696, 13998899),List(93340625, 23515486),List(38161788, 93202802),List(95185884, 30820505),List(42406850, 64838287),List(90551256, 21949071),List(89743258, 88360896),List(13857216, 16568721),List(39963532, 22112154),List(46090412, 15982273),List(26448435, 49041833),List(10336433, 86066207),List(76948963, 60439059),List(49134125, 31784348),List(24702935, 65366340),List(46998993, 19166631),List(78588732, 77334004),List(65995339, 20504398),List(96958482, 69377683),List(81130503, 34514864),List(55855895, 86678623),List(94016641, 51937341),List(42100119, 48917724),List(88113656, 4782023),List(74826956, 79774731),List(51910035, 24427918),List(8408977, 10522205),List(45906722, 69290856),List(10490082, 30920678),List(2439649, 23954148),List(13671208, 36692715),List(35276794, 1739088),List(21967751, 79227663),List(84779134, 81390819),List(20129451, 42062877),List(93050214, 49275989),List(30360598, 70351870),List(30964451, 14045666),List(59888633, 94506582),List(64574068, 16806387),List(52387068, 26490730),List(50914273, 19867606),List(93470589, 31182344),List(52731142, 63535835),List(13668462, 38544638),List(23985087, 99965938),List(67299898, 81125506),List(33298321, 25860699),List(95745527, 63487513),List(44172459, 13640304),List(20428066, 79656845),List(14159432, 45367367),List(41410578, 90161674),List(89045855, 85255645),List(87679594, 98411568),List(28740589, 30159437),List(76496579, 35726801),List(56604273, 43294986),List(95643620, 27825153),List(705583, 55582556),List(55616063, 70708238),List(35788255, 26961564),List(31459972, 83372295),List(88191643, 55842897),List(72003050, 28619785),List(35155128, 89240104),List(66983313, 82431657),List(76153530, 76681046),List(5792447, 66112124),List(99776274, 1665453),List(52411499, 40092197),List(58777411, 16748213),List(6657408, 56735065),List(26773977, 90313368),List(56313892, 47899296),List(58816299, 57781174),List(52252981, 91324676),List(82810442, 85014392),List(51305695, 37130213),List(86139968, 460333),List(46657032, 40346113),List(11899054, 51009125),List(8169045, 59156854),List(97120182, 92468469),List(1717891, 14783778),List(59847133, 69579170),List(24826997, 24643900),List(35565650, 79021466),List(98759859, 8546239),List(35313104, 49132083),List(56119766, 14193476),List(14823202, 89866501),List(38528022, 59906200),List(9644589, 95211300),List(14506567, 31121785),List(21246635, 16862866),List(89965899, 50793126),List(63084725, 97512758),List(39787720, 86201319),List(71290628, 38294202),List(22391903, 25718909),List(90976201, 80168715),List(98689504, 62719834),List(56051074, 81087483),List(61751256, 17443649),List(62158003, 22159665),List(3255347, 94313464),List(36909904, 20641834),List(26620460, 60760012),List(11565146, 65223573),List(6906011, 18629650),List(17605950, 17584536),List(44526149, 88335024),List(77950032, 59340496),List(99660483, 14324289),List(95327948, 47869175),List(28749369, 95328542),List(3043232, 60442925),List(28781892, 82079677),List(10625875, 82241819),List(95030459, 46846618),List(33934804, 40890346),List(99372926, 73575902),List(90463072, 24673931),List(4181881, 12939561),List(8857285, 97789538),List(49129852, 54738107),List(51895147, 74301357),List(77296765, 34437120),List(88117248, 88553788),List(8500323, 55570383),List(80317060, 14255919),List(33471207, 32951749),List(15840687, 85871906),List(91510596, 34634920),List(53440406, 54464964),List(19940639, 176587),List(39099587, 79607797),List(56528166, 79373106),List(73114103, 61552479),List(29699515, 22665751),List(55271855, 70108603),List(40543830, 35182710),List(72116640, 84760056),List(21395435, 23757823),List(94817115, 74255719),List(79926067, 62739024),List(81880263, 65157101),List(91448644, 3107857),List(59739422, 7727751),List(3079707, 30120241),List(87459216, 93124813),List(73252202, 17853108),List(74464488, 50934879),List(13806751, 36519946),List(35931240, 38903427),List(24540883, 95066805),List(92259166, 39844692),List(70869944, 31218070),List(58498592, 37048578),List(35476878, 41569701),List(94444138, 3723529),List(96642679, 38965571),List(29836439, 65237795),List(65269033, 1282438),List(3828149, 88293440),List(34879197, 74071721),List(15205746, 92132118),List(64418837, 48633645),List(23585070, 27386425),List(99008583, 14899467),List(28194817, 46926988),List(12324834, 81203855),List(97406308, 66358685),List(17708862, 22426040),List(31728600, 69937917),List(49497172, 79574810),List(23046276, 30883898),List(61121788, 45148999),List(5691668, 33478257),List(26357550, 17280495),List(47436245, 38616769),List(68407212, 10947116),List(63240354, 39114521),List(93679259, 2604073),List(92997628, 47316702),List(82257088, 5525249),List(52159752, 12954413),List(30946915, 83101136),List(31329219, 69577116),List(57148237, 76032619),List(52359877, 74864021),List(39911438, 86800869),List(19742526, 59199073),List(20493780, 21573974),List(7506942, 47330530),List(60885325, 66345816),List(26927741, 220836),List(75286434, 56315825),List(63625818, 47707186),List(60716384, 19136074),List(53187151, 55372905),List(93935887, 85965715),List(26507230, 20492551),List(29685351, 45897886),List(47757048, 72279848),List(15676491, 35465602),List(49535960, 38847919),List(92310557, 70257931),List(4975506, 2908072),List(81927886, 94144798),List(76730544, 53383976),List(55507252, 95597888),List(68419425, 2799549),List(36538163, 93125040),List(1238250, 61258164),List(48937529, 89422605),List(71743661, 65006942),List(16390712, 97633231),List(44231400, 86412236),List(9949780, 46720286),List(47072041, 55467408),List(34038757, 85840483),List(2970879, 1188303),List(38767935, 87501373),List(66454925, 48443436),List(81080879, 79994566),List(42937911, 67890438),List(51705532, 38758795),List(59048778, 49117393),List(87688592, 55924140),List(9811657, 60403618),List(34979037, 43755735),List(99998275, 90741533),List(14415171, 13202282),List(710891, 63425166),List(15221946, 93259518),List(12234497, 73494422),List(69760893, 71310259),List(28985898, 77935712),List(15885984, 15129384),List(51857105, 88164916),List(60110387, 42829682),List(29591901, 72794767),List(48337189, 5635435),List(37624597, 51343087),List(78706404, 51143124),List(47360998, 50093336),List(28676082, 18581075),List(5621478, 23770750),List(79455557, 8293685),List(78535970, 43955726),List(72863749, 94322153),List(77629211, 50324825),List(49384731, 97779206),List(64293613, 84756742),List(67219474, 45272178),List(38743914, 95051319),List(87439922, 47308817),List(18938309, 74803208),List(64976854, 99732360),List(17238715, 12900546),List(24463710, 27877204),List(45677387, 43370102),List(95057269, 41395747),List(8065985, 87456564),List(40789397, 16613642),List(78510962, 49613335),List(98625776, 53340925),List(6346687, 34775697),List(31023786, 17468470),List(33791492, 69966587),List(52477859, 15077194),List(22345433, 6762583),List(78030566, 34968632),List(8848052, 70299661),List(12247041, 75102348),List(57035295, 40976737),List(87357604, 63782602),List(10212888, 77330519),List(77101610, 4205265),List(99651856, 1880484),List(43582365, 20058362),List(86095629, 50647248),List(41103160, 73349287),List(59716046, 31751658),List(82317245, 63510192),List(94726918, 20024071),List(96388482, 3088315),List(5063676, 7208085),List(74411988, 50107870),List(229535, 1656927),List(41831998, 83943174),List(39219750, 6559751),List(18607824, 57032436),List(20296287, 1190396),List(1651964, 64086454),List(29079194, 42005817),List(52711407, 21713464),List(3640719, 7451074),List(23597907, 5166121),List(30084414, 87445055),List(9933284, 48313173),List(30791636, 55541776),List(48537217, 85072541),List(92078117, 54144604),List(18826361, 14176819),List(97076825, 85559484),List(79800083, 48316415),List(63984224, 410780),List(76451258, 3342940),List(86227943, 76404290),List(67077468, 45173093),List(25076011, 72155004),List(13150881, 5317977),List(1582931, 81578707),List(22580124, 12116356),List(56136247, 41355974),List(73862158, 70260042),List(96145943, 16093092),List(52729338, 6973769),List(72675548, 98074567),List(48055082, 81690819),List(5712207, 32907005),List(43292671, 75857152),List(67556254, 91571125),List(29460369, 87962297),List(31257571, 33713531),List(65404713, 23394824),List(83265165, 45360549),List(22560687, 67175015),List(77311, 98180510),List(83149615, 56389138),List(70791052, 45170001),List(21503468, 89652453),List(93738346, 7843797),List(82333649, 58657927),List(39706785, 56185798),List(2863749, 68298521),List(2920004, 72010214),List(82223012, 42547319),List(90084925, 83609872),List(87265689, 73875571),List(83865185, 77661628),List(33519675, 21018900),List(4708816, 15690978),List(87348345, 6484209),List(43103299, 79750772),List(96759655, 27669745),List(51448751, 43199527),List(33592239, 28692037),List(73798061, 62435816),List(11575244, 61072331),List(13815408, 8623779),List(20631629, 24216092),List(55589049, 79036770),List(41532965, 6637911),List(73191069, 96846994),List(3183471, 86837086),List(57870052, 11866557),List(36214706, 92859014),List(46451022, 43658026),List(48671148, 83246143),List(45469947, 20828577),List(86161209, 30307280),List(42157409, 82405257),List(33416967, 42053263),List(52018023, 81031220),List(22174941, 94464881),List(40334165, 81934599),List(16361563, 58669912),List(48970582, 83092192),List(73177173, 96335058),List(58264614, 98858811),List(44924785, 96767785),List(5740794, 46267148),List(6298159, 25185664),List(16292385, 19459464),List(42365290, 41699350),List(43106079, 54574799),List(1859504, 12916210),List(22394671, 95556017),List(64071808, 70731000),List(57875724, 94315021),List(6393609, 43058405),List(69222024, 77686431),List(42558672, 46446973),List(39936273, 70385323),List(80011155, 11026686),List(42151940, 77910249),List(11764125, 20642376),List(18351167, 52596975),List(77004364, 54719289),List(56427679, 76528246),List(24707592, 4901354),List(18720258, 70448244),List(80158451, 8562524),List(91920669, 40462466),List(62270347, 11922528),List(15898879, 74451541),List(99725823, 31905473),List(81092297, 34482900),List(43929193, 51914356),List(58565024, 80625785),List(22526350, 38516131),List(70303549, 26387880),List(80833812, 18254639),List(46976345, 25283454),List(77742631, 76971831),List(97606246, 65156178),List(63848666, 98395035),List(34538447, 24948928),List(14383425, 38763448),List(38898888, 12531712),List(85672049, 67884853),List(92124567, 37334907),List(75884157, 30674479),List(8277393, 33867173),List(53230388, 68728211),List(47172877, 79724593),List(15724517, 69933250),List(36821900, 1784605),List(27917992, 89547204),List(17359762, 76406833),List(98229357, 93578336),List(25234993, 71933825),List(2708769, 13595353),List(80620540, 19229054),List(77334051, 54665431),List(22571106, 64056821),List(42121025, 12278323),List(96954677, 96405517),List(99915050, 66583376),List(91639101, 5210632),List(13390959, 80792311),List(52170537, 13298923),List(6951929, 1413310),List(37375856, 96890243),List(45884861, 72741229),List(495051, 72121751),List(87034010, 10168777),List(25208948, 92979225),List(17579595, 43028107),List(41567940, 18017673),List(31449710, 63886869),List(42522805, 56919476),List(88653516, 20320836),List(39591330, 18558736),List(24681781, 17544709),List(23839444, 15513061),List(88914171, 88098679),List(68704141, 5728097),List(10643365, 94765212),List(72369265, 47207855),List(13162510, 88139997),List(27471483, 19282459),List(2396784, 39725349),List(24165016, 63843865),List(8389509, 23037616),List(45069923, 51666490),List(14314171, 82930577),List(11926140, 23742166),List(40410877, 25007316),List(23002537, 85875415),List(88517398, 90675913),List(4659150, 8813989),List(76711523, 74001711),List(25238957, 95901241),List(26642996, 55555216),List(49436842, 69291274),List(52190328, 17010181),List(30696896, 58136790),List(14926560, 56397458),List(18087364, 90825693),List(12697397, 15088935),List(69706458, 40112595),List(28724006, 59858764),List(50988684, 75970589),List(31052789, 18966167),List(77938286, 20799748),List(66480760, 45028835),List(1954139, 38201583),List(54063999, 19090683),List(45078416, 92290237),List(32094340, 16623447),List(31231245, 88468682),List(28007724, 9897011),List(34489319, 57223711),List(1826219, 71217665),List(45661700, 34670001),List(28345114, 1074401),List(8744915, 48574890),List(37400275, 94610539),List(92256244, 68182874),List(44566521, 15234847),List(26526628, 26721404),List(53378874, 45047674),List(34378743, 56452703),List(33397775, 90969994),List(34820830, 10312432),List(65456609, 4870428),List(13279517, 86815318),List(62131340, 54772144),List(96443193, 83310108),List(50734336, 48162055),List(32535403, 97023820),List(59732430, 83848118),List(14681349, 49910852),List(75873178, 24003150),List(51315764, 25560997),List(43338002, 870832),List(42062360, 71388154),List(33657468, 22927795),List(5291232, 39464760),List(2928496, 58112427),List(55082886, 29642916),List(51553164, 14908183),List(81514411, 16415870),List(12016078, 61175997),List(92597295, 59675630),List(42910184, 82460855),List(88327728, 47022474),List(78778954, 78177312),List(23815648, 10592817),List(86588207, 71249797),List(64284712, 94802180),List(33435292, 34236388),List(71904738, 27829812),List(30729322, 82482339),List(54325932, 96144000),List(21345286, 11475628),List(89254853, 72114764),List(93332571, 6049216),List(29507365, 36292787),List(20574814, 36928937),List(3931851, 89310956),List(54971298, 28084235),List(34206984, 54922156),List(78706444, 42973956),List(9321825, 65719722),List(54673989, 20187528),List(51763638, 96384669),List(54949714, 52683938),List(92601950, 36390743),List(19997799, 59483566),List(89969276, 43918424),List(30239323, 29530061),List(75267813, 39093211),List(80140461, 32240231),List(57217490, 4480850),List(18378489, 93408366),List(8985261, 14891985),List(65436589, 38452222),List(19702677, 92399651),List(28071934, 97939343),List(38812177, 93227326),List(29036123, 22587187),List(854855, 19332657),List(38051442, 32904178),List(47247327, 17270718),List(6781851, 903676),List(7389672, 96031471),List(88549543, 41154786),List(97178742, 69059817),List(21661597, 91841515),List(85870792, 9713421),List(17619010, 42506956),List(76524503, 46258983),List(60636035, 83047480),List(3689941, 85806578),List(38895493, 41396545),List(13802950, 26400982),List(73486518, 139655),List(63832125, 22859596),List(13356898, 56382644),List(95715468, 7272669),List(24616081, 29316090),List(47652844, 2658332),List(50480884, 27590537),List(84646215, 20989288),List(44207905, 45862652),List(17482241, 91528236),List(43275815, 84846155),List(18238951, 83655535),List(662450, 26342206),List(4366548, 92133639),List(94555869, 35308641),List(20820335, 93568769),List(1748027, 75132595),List(93633733, 76024501),List(44844827, 19878774),List(70609436, 67545202),List(36665403, 71099597),List(51884799, 52866732),List(71992683, 83232934),List(13274524, 82228121),List(42344290, 89873796),List(57125356, 59520846),List(14879135, 33661114),List(51417381, 53064734),List(34524904, 49004679),List(55401206, 34019807),List(82711970, 51164489),List(25143429, 26800431),List(41328837, 30507912),List(17625651, 64402551),List(36076783, 28979524),List(24359274, 56319715),List(49316628, 84914726),List(66311175, 8752611),List(98217335, 46485370),List(9930412, 30322501),List(20996174, 40903152),List(29724186, 56879610),List(36908293, 59045185),List(74596598, 12174905),List(20056673, 31027979),List(97320671, 245334),List(92004427, 91403509),List(48675705, 8617226),List(5475841, 57754595),List(96186320, 52585097),List(74267001, 13066340),List(57363899, 60307101),List(43913177, 43566668),List(72874474, 40298489),List(38982762, 30385107),List(37636747, 68190),List(55471368, 95205756),List(91118727, 47040275),List(66493430, 89802128),List(18906284, 10496286),List(79448100, 65795009),List(98731406, 69503299),List(24562738, 68035924),List(33228878, 86249456),List(33917153, 87379546),List(71807033, 78442484),List(51177289, 23871927),List(16742334, 7774011),List(17986045, 58767342),List(14599174, 9576656),List(10721976, 42308066),List(37439279, 34327947),List(84328535, 51122630),List(44933416, 81058693),List(84774233, 75148637),List(90742894, 24277829),List(46793365, 32894416),List(27442540, 80862896),List(82029470, 24792702),List(90513793, 89186323),List(95279434, 55501109),List(48786100, 25008358),List(98014498, 39324183),List(1969631, 75491375),List(57150711, 88685471),List(67263867, 55496989),List(2534673, 14072831),List(5395135, 2663677),List(50449615, 70339193),List(31594154, 95796050),List(3392755, 92463769),List(52730169, 44166333),List(83438115, 94558477),List(83152016, 92861000),List(25309225, 90864646),List(79777647, 48692293),List(78964509, 99784041),List(90151765, 14700552),List(98794920, 69937011),List(50435682, 32821962),List(82487644, 6363934),List(50981948, 27555187),List(6594191, 13010876),List(51884820, 34680908),List(45217574, 55678529),List(86134687, 53442399),List(48577590, 16745350),List(60466643, 9927931),List(37145001, 948150),List(48958009, 73043277),List(92754101, 5018175),List(1123406, 65499171),List(80909383, 59593988),List(20934013, 53009155),List(21960034, 12372013),List(47871214, 94378999),List(59527249, 90188552),List(32458303, 44936423),List(68204941, 54475719),List(1566624, 22292700),List(35876955, 79787728),List(47551926, 9211956),List(96492009, 51768773),List(29618442, 88172077),List(83526397, 60595041),List(49771690, 83171795),List(34354255, 59185776),List(36728239, 66737776),List(30272826, 80450515),List(30391765, 31810768),List(55542097, 65007183),List(24041886, 37073913),List(61600567, 95458068),List(54199197, 48094380),List(47678189, 47733166),List(47962525, 10898175),List(70443441, 85326252),List(83162168, 15237554),List(3206259, 39082718),List(31533324, 99198264),List(53784823, 74025099),List(47780295, 57890512),List(60564465, 95956905),List(36664755, 66615712),List(36037693, 93241421),List(66582825, 2686414),List(57164247, 80494162),List(57971273, 33547126),List(73863311, 32535495),List(91836399, 77432726),List(13781211, 19717870),List(58278607, 54353478),List(21135852, 57519487),List(50006778, 58664887),List(9048890, 63210400),List(43796353, 46962276),List(59848716, 31681515),List(9417629, 2181116),List(52039658, 89780081),List(20705441, 52326885),List(40795283, 97654051),List(96366526, 62010652),List(24591208, 38114813),List(60921639, 53678707),List(97453056, 69060398),List(85091076, 96398943),List(49356739, 79367948),List(53639151, 92004190),List(99095429, 45924063),List(12052198, 49189117),List(72637700, 85036016),List(9999767, 93662187),List(96585198, 3035062),List(76019143, 79787387),List(84268223, 75669315),List(2509084, 64696903),List(65152854, 19182656),List(770306, 48432759),List(59027638, 53205787),List(68686447, 92184477),List(76129773, 72447638),List(73934996, 17453273),List(79593574, 86860319),List(77506656, 98117560),List(11490607, 35362197),List(53116976, 20597025),List(75302111, 66919674),List(17538869, 6730849),List(78450223, 17906072),List(22450951, 34990444),List(3357954, 44914318),List(79890251, 59485622),List(27760419, 19275989),List(85935706, 27677368),List(76766437, 74343171),List(92625994, 99068791),List(8231428, 39730731),List(31749258, 44340677),List(77100927, 28784022),List(13653641, 89916776),List(16554662, 31119622),List(11005158, 74197263),List(61635299, 49330174),List(32563858, 8717610),List(20566526, 6184480),List(32648400, 24873808),List(50663253, 8889732),List(16176067, 63119447),List(33587687, 45220508),List(69116037, 62211136),List(63712384, 88722931),List(60525233, 13731738),List(91098195, 36934270),List(36824767, 77305095),List(26040613, 78738736),List(35524811, 84969833),List(91814318, 10338865),List(63726580, 96526546),List(336955, 99061851),List(83495563, 57884837),List(5617249, 56323046),List(89823061, 62135288),List(1972874, 50015993),List(67581995, 61459301),List(44491744, 54623342),List(34982024, 79695165),List(53982438, 43854472),List(10516151, 41580327),List(44582193, 56570507),List(4893058, 27627495),List(23263428, 95102711),List(94096336, 89367190),List(67804573, 20884835),List(87260692, 5932221),List(92916406, 70935170),List(4137683, 69314791),List(98919759, 25001801),List(50638334, 63842878),List(45497187, 92513601),List(73721603, 50876431),List(38072050, 41053698),List(46706966, 97134164),List(73235255, 55624288),List(3587208, 91587527),List(57962090, 65410836),List(65063870, 81931926),List(72255269, 31906989),List(86792426, 56325148),List(10572656, 80650901),List(51748467, 2419785),List(24934032, 87256303),List(33094228, 16488521),List(83779883, 23931265),List(92495367, 57502836),List(88541493, 1211946),List(58262892, 15817719),List(44394456, 75790742),List(49108688, 37491080),List(24056294, 2043759),List(64367597, 22538506),List(43900754, 98496529),List(31615254, 15835627),List(49647780, 98512170),List(71696441, 82183548),List(83076755, 83835017),List(72307659, 26398241),List(73201476, 36658094),List(27405441, 71118684),List(4455477, 85946986),List(84342756, 36374674),List(54142105, 50159898),List(21830581, 64326895),List(3966329, 93615224),List(6832673, 68364327),List(17279187, 48387090),List(45771945, 31231917),List(33440194, 62864050),List(24010000, 34623500),List(79865358, 56999116),List(38226035, 9585982),List(74051679, 90633542),List(50788152, 97755401),List(18642935, 91229541),List(64060062, 38964239),List(61749261, 27756122),List(61086547, 88056813),List(68934756, 73208072),List(59902864, 23547268),List(160361, 64357402),List(38412366, 19680512),List(66770154, 10870623),List(22418887, 35533952),List(59920875, 65379877),List(47591956, 42425558),List(90345101, 92423696),List(6519889, 81139410),List(84426690, 26102625),List(73012625, 37569671),List(31126796, 35747638),List(9689949, 52406135),List(37356369, 38358137),List(95991736, 68700398),List(99574978, 12424473),List(20363717, 34030704),List(1506997, 84848025),List(69241496, 54778051),List(64814857, 81241220),List(94319325, 65574070),List(40205808, 81085534),List(8413855, 67132820),List(62325513, 78547295),List(97082249, 41455110),List(17408989, 920035),List(36853565, 78955962),List(46579645, 10544069),List(12700471, 53537806),List(96584259, 51570848),List(21603121, 8595627),List(41158018, 73351307),List(18863630, 3645886),List(64826165, 16609904),List(39710497, 90065893),List(21973321, 45639642),List(19652036, 88721249),List(65006950, 62653544),List(37241093, 33843915),List(73601307, 18300592),List(11683462, 12348774),List(12390345, 41920953),List(20309107, 64250015),List(77632283, 34633494),List(39034189, 59938484),List(88992426, 34592533),List(78327612, 31018253),List(72733889, 33940987),List(40071512, 33112348),List(85576325, 62031678),List(9397259, 78267724),List(49938637, 9116605),List(75448118, 95183763),List(74914198, 78652746),List(27762959, 34027488),List(14397303, 7541102),List(39174871, 71758137),List(26552993, 92914072),List(95921515, 82780994),List(9863546, 4133280),List(23444792, 91066386),List(10417034, 42605628),List(65460905, 39718472),List(78133993, 57882969),List(39827224, 74465904),List(10007861, 14579017),List(29086054, 7932245),List(17636138, 6939269),List(87995791, 41635714),List(41216838, 94312034),List(13581219, 17363089),List(39344585, 22165506),List(45614882, 36017390),List(31110648, 61728884),List(50724849, 46315886),List(3021903, 96903360),List(77058286, 53432594),List(67343905, 52633996),List(40087887, 21123915),List(56011212, 40948746),List(7873088, 18665373),List(28508963, 2748700),List(85441310, 25731334),List(80648150, 65278268),List(34395404, 13247540),List(28359210, 34225043),List(3417530, 72348105),List(56431043, 37345450),List(35862423, 20139797),List(59652641, 21411155),List(62921370, 72324742),List(50914204, 23371407),List(7824303, 82305023),List(87618020, 41041706),List(35562800, 88714567),List(35949667, 6294929),List(49652692, 12038769),List(84918747, 37387763),List(92245168, 2814261),List(59129563, 43823188),List(45309848, 1183409),List(15132653, 35941347),List(48731078, 48894226),List(20490218, 45373717),List(35842020, 62355003),List(69599907, 90317181),List(61241849, 46616587),List(96569959, 68747171),List(31980236, 8612156),List(81664156, 22360064),List(78525343, 3671058),List(30224429, 69112365),List(33640479, 35777755),List(25162179, 13782513),List(43601307, 28493977),List(18901983, 2800851),List(23141256, 82332961),List(27532659, 30055710),List(8105004, 43031779),List(42832951, 53949941),List(559138, 41821491),List(72796281, 50784976),List(6652229, 99201685),List(9049227, 9989120),List(95152638, 30998286),List(81867083, 97537179),List(13751657, 52944286),List(71644052, 21509091),List(67726278, 74473569),List(55206328, 85715955),List(14540485, 58386972),List(48775187, 36778151),List(81231538, 76506196),List(14263261, 14497530),List(56779930, 59762743),List(15486782, 75166903),List(10683118, 70457763),List(44913990, 40005099),List(29160637, 55304891),List(695528, 32902847),List(68282495, 68654007),List(3626005, 88201320),List(48148145, 13487694),List(29855721, 4313803),List(41188320, 1574757),List(71221369, 69046578),List(68192645, 32710572),List(67937929, 57295162),List(57092198, 97954772),List(22242295, 30550164),List(73255919, 62909480),List(73340863, 48568149),List(79644963, 24417176),List(66680641, 38571206),List(38848663, 50062934),List(95863615, 34380548),List(63857129, 16661048),List(59994986, 61804212),List(63930078, 99905821),List(53686406, 37570203),List(24923913, 55347077),List(74068279, 89866423),List(14346818, 73818773),List(84263699, 83124580),List(14034210, 42881638),List(8158168, 38858576),List(72833573, 33243416),List(83802718, 60474212),List(71844555, 69235600),List(34066676, 91383431),List(80520802, 1750672),List(91303520, 55871917),List(46516826, 61414128),List(628772, 37934081),List(34604855, 57822435),List(77551986, 63602326),List(62657731, 3873318),List(49494902, 35418675),List(31198373, 9154907),List(21380603, 88621995),List(86777230, 10655542),List(59934889, 65691060),List(82321802, 45384060),List(71463091, 75660922),List(5304889, 7473496),List(17468561, 18183917),List(15437154, 89657330),List(51499813, 17465139),List(27301106, 16624493),List(54553393, 8167866),List(81170104, 44505423),List(47763913, 30608566),List(41962897, 38567356),List(34815676, 35411399),List(25386203, 26091838),List(73287369, 57289918),List(75253565, 3974964),List(1486845, 25206496),List(50681226, 3988848),List(44908583, 82189041),List(28307314, 14306179),List(55068543, 31623702),List(6798524, 68814390),List(78316716, 51722178),List(62834084, 28628038),List(63569793, 49397728),List(46823707, 2080741),List(6608186, 23670340),List(7196682, 22118423),List(76754911, 8853498),List(50141440, 1460128),List(30743902, 10875086),List(77629606, 12893225),List(63800723, 7117218),List(27009090, 90418248),List(73534120, 63833394),List(89439682, 25102885),List(50301967, 82534868),List(58437766, 4284697),List(68261012, 48516286),List(91006618, 27475900),List(42416208, 51163105),List(50478932, 90377822),List(20219942, 31541302),List(743948, 62345087),List(46161207, 89563369),List(78770571, 27841013),List(67117233, 95914228),List(2955086, 72577933),List(76091213, 82157294),List(58124325, 45092237),List(26765326, 23426240),List(10795841, 50264026),List(10081794, 62067692),List(24825427, 97845573),List(44472118, 49589440),List(81921335, 49407227),List(46766508, 48596335),List(6117205, 66170448),List(82487031, 6728028),List(67800204, 14669791),List(27075051, 29171159),List(61770420, 56651166),List(21542812, 22778256),List(61019070, 9570627),List(83139281, 17392157),List(59103436, 2018557),List(19159081, 349478),List(93349555, 25727228),List(7775350, 19589934),List(49743701, 52892775),List(48616261, 18757751),List(50812266, 4599078),List(78533774, 72284297),List(36568839, 28017928),List(90486520, 72974077),List(18315162, 35635047),List(29119882, 39812669),List(77467872, 29147757),List(55406023, 60362373),List(81395801, 13927944),List(39381818, 1080998),List(20846243, 34497685),List(78125334, 62933009),List(80415561, 76082187),List(33382842, 76061369),List(42773923, 99220521),List(75009215, 35309823),List(6730354, 67919331),List(13302118, 96786914),List(12627410, 70598039),List(58004215, 44773636),List(7353744, 60440753),List(2521068, 46939136),List(69659345, 72555277),List(68797418, 41145616),List(67654650, 50023426),List(38507171, 96145210),List(77763785, 46119972),List(32358532, 65203316),List(44762806, 28868572),List(79491214, 62662187),List(51621773, 62314232),List(12980701, 56411917),List(38984661, 19437027),List(91172513, 12817738),List(4873995, 29027615),List(39740469, 30222385),List(59102865, 57302024),List(95254479, 72046028),List(71782740, 44733072),List(9098787, 83596147),List(5784749, 84787532),List(69609417, 15225577),List(31620662, 91207051),List(86505825, 80595004),List(91255458, 39217257),List(11766075, 19645727),List(65324210, 81453878),List(31142220, 99219184),List(98443070, 29519272),List(70142411, 33310611),List(34448575, 87975257),List(68107004, 68584377),List(7691112, 57094577),List(16341898, 87284819),List(55345689, 58218056),List(63594981, 86155979),List(74718897, 47386337),List(63503187, 61837514),List(53781458, 69936303),List(88947622, 89769380),List(40457207, 50139967),List(85981851, 89262340),List(90743686, 1195363),List(6960660, 23543194),List(74023341, 47593499),List(75257681, 72419116),List(12880366, 28662068),List(82744082, 7006044),List(46689790, 66662048),List(75588358, 28696800),List(47928473, 12639749),List(14306763, 15303978),List(73155050, 62269901),List(41475494, 55713164),List(67287463, 79252590),List(44578193, 51341501),List(49546051, 2335134),List(56648841, 87017601),List(15833098, 59054862),List(52845413, 63058631),List(15549008, 14781530),List(67817872, 51964985),List(34128187, 41816140),List(35447445, 69097877),List(97096667, 91819788),List(52278136, 60600882),List(39112074, 15340559),List(31698405, 91198186),List(55836276, 74443210),List(89597833, 80561860),List(59681545, 41614471),List(17488077, 85273229),List(59296176, 71811978),List(52474320, 72024484),List(99542657, 65767006),List(10811624, 69276414),List(28192976, 55589422),List(1691572, 50671986),List(68090506, 23057643),List(92340965, 45996179),List(77562587, 88954573),List(18972633, 23000743),List(73031344, 53763241),List(71349723, 64942616),List(59850972, 7085576),List(94708182, 65716704),List(47002781, 20724781),List(51785545, 72742349),List(59183740, 14951981),List(13882381, 81172791),List(86054120, 95739260),List(16934229, 25943544),List(95352123, 72604040),List(81301078, 25764591),List(29261330, 3939385),List(47963743, 63347462),List(85981474, 59164404),List(17382104, 89158308),List(32932833, 88881837),List(7975343, 17573101),List(68790113, 9749219),List(82430518, 87536743),List(73387554, 94974086),List(23836190, 9761233),List(89505053, 21961582),List(68875451, 41665849),List(96962881, 44961694),List(15767754, 75662630),List(4685507, 55160280),List(99008904, 92106428),List(21204766, 25467743),List(9046607, 95895969),List(90395386, 20235101),List(1388390, 68823243),List(61874782, 39537892),List(97904884, 65299448),List(29921586, 55581580),List(26214700, 22621591),List(75627900, 28684498),List(84392656, 67591069),List(97959142, 55262622),List(7148349, 20904593),List(52820537, 38545058),List(22742652, 47688346),List(27398097, 8521987),List(23076662, 12261157),List(61348104, 31417044),List(11261872, 83300477),List(31756979, 66056434),List(5839082, 31365055),List(62456606, 35649810),List(48922441, 84970067),List(96708914, 45944560),List(91950657, 12844262),List(95099345, 60342242),List(72414661, 59121868),List(17896601, 68442898),List(83985842, 12217476),List(36544207, 42687231),List(14785795, 32169848),List(3364650, 43517917),List(79960979, 16624549),List(74903837, 22271861),List(61097360, 46433104),List(39174746, 50002758),List(79457262, 61601348),List(63645428, 26601466),List(66139857, 27918255),List(84212874, 82802631),List(35066686, 73416269),List(51070762, 9834450),List(8303987, 31627220),List(21386538, 75577783),List(50350533, 95983872),List(99679735, 82779812),List(77678171, 47701803),List(60480810, 92291359),List(21319329, 12180102),List(73255086, 74108852),List(64124864, 63228002),List(49432193, 23884855),List(18490122, 51755153),List(86151462, 308389),List(63688735, 72493379),List(10617619, 6261374),List(87150859, 32623629),List(22670155, 29125770),List(81801629, 9054980),List(14994456, 64474587),List(84158613, 54993776),List(14662637, 29446234),List(44477867, 29521712),List(33558006, 1484282),List(77114924, 48504381),List(58597265, 97032403),List(35660073, 23773095),List(19640803, 46199461),List(89630250, 70338274),List(34446453, 38550352),List(20269865, 7372987),List(65595799, 36494547),List(73105407, 74109538),List(10076076, 77047739),List(64069413, 72865530),List(95063215, 65384655),List(64783155, 51426418),List(81584182, 75433196),List(85150880, 39093373),List(49856101, 72338520),List(9334166, 98933238),List(93355915, 66331720),List(30754388, 95662648),List(21164085, 63671601),List(95469650, 55543392),List(80508134, 30689136),List(19214627, 27641157),List(99851704, 4213711),List(39480670, 16262147),List(99707103, 73327224),List(2923094, 41104433),List(10822862, 48724991),List(96246510, 39902297),List(90306450, 40960136),List(60265662, 32068469),List(95446775, 26422055),List(22376753, 31571306),List(99019867, 32305065),List(90279146, 18813307),List(39218660, 97652929),List(94795111, 67641243),List(59376011, 61747989),List(98070541, 59130714),List(92977639, 64453234),List(99249846, 8083132),List(86859663, 72729968),List(8332601, 35037664),List(74631423, 33579959),List(99262429, 84881941),List(844016, 97074291),List(88043480, 47396797),List(98936403, 23261130),List(81750183, 77056062),List(62051910, 59065150),List(15742638, 85043168),List(71378931, 40617465),List(16682494, 51007932),List(27993577, 85721556),List(83463721, 87019815),List(31828345, 86550926),List(65593007, 48633590),List(77261341, 49304807),List(43008929, 93929261),List(68969433, 14250118),List(41478928, 49487602),List(59080431, 72311278),List(68920579, 94004761),List(44690443, 14215063),List(38184302, 24276268),List(37141752, 37153118),List(87940261, 91227947),List(17723338, 66108634),List(53540338, 52324113),List(15010712, 16102783),List(70366667, 55740151),List(21780377, 70451803),List(66844104, 64743659),List(99305892, 51912730),List(41796215, 39944023),List(81849238, 71638658),List(89844308, 30072730),List(54475409, 14606437),List(33624922, 24669365),List(36071553, 13288415),List(37334499, 60541319),List(38787457, 88067726),List(11487798, 50079190),List(5650153, 13257208),List(11810012, 29909892),List(36702630, 99821159),List(94546112, 25775113),List(17602425, 96299596),List(35985122, 9683244),List(8345773, 30072160),List(29667217, 5132329),List(32484661, 71313082),List(4851304, 10456740),List(32903651, 67557229),List(19181060, 98810144),List(22960992, 93605339),List(71318314, 75531875),List(38225647, 74113394),List(12403188, 16704056),List(85264465, 35036571),List(64810043, 30550282),List(2139270, 2368842),List(61034269, 61007789),List(20600098, 59972405),List(38371024, 51340191),List(38940155, 59914218),List(41197983, 708448),List(47749003, 87233764),List(56596673, 64050057),List(97814100, 91667848),List(3096815, 19669977),List(97469749, 22249178),List(69500036, 49396234),List(68498553, 6130876),List(35926325, 26909036),List(17559698, 20193518),List(50232206, 75800124),List(59332219, 2509993),List(25049216, 83876132),List(57451662, 37824950),List(35886876, 75691703),List(46168269, 55418924),List(66375032, 56070080),List(49428363, 10237764),List(578570, 89376908),List(37657131, 85586330),List(35775531, 61665781),List(61684666, 45182473),List(20501448, 58249155),List(63738954, 441693),List(11631671, 82709630),List(60269430, 69318808),List(21947403, 36360462),List(99458793, 73563929),List(22247447, 37088134),List(50374522, 50329121),List(96032379, 70069394),List(37104718, 18147175),List(81565756, 86903434),List(47652098, 39435722),List(81012046, 14388664),List(83281904, 66915308),List(79108092, 531288),List(38159402, 85731640),List(43595820, 91414072),List(20343070, 14286967),List(899980, 38547016),List(78044788, 54027394),List(88411824, 68336221),List(49922695, 36812471),List(7374295, 87209033),List(38674821, 9212809),List(35363902, 51403298),List(74228499, 86215415),List(84780795, 39442459),List(13583226, 45518791),List(79338016, 86621281),List(25352412, 43809344),List(35939076, 24034202),List(34415839, 9549694),List(55615873, 9392243),List(21055338, 93182429),List(70607285, 31094909),List(59549649, 63057648),List(26985929, 81395709),List(93046121, 70281196),List(98019249, 37217570),List(7012825, 21265837),List(84111327, 71014715),List(83493006, 1158776),List(4501286, 96587590),List(10361669, 88724897),List(97892091, 72479772),List(40486032, 20389041),List(52550258, 60307210),List(65595201, 1501841),List(20946251, 84796106),List(2810507, 57752943),List(69136432, 32517976),List(9223065, 83278039),List(67058726, 40250837),List(95726321, 5412370),List(67504613, 47557612),List(93908461, 65838432),List(44285543, 79619948),List(28669066, 68728932),List(11115054, 43004386),List(16696589, 36894551),List(87354022, 55258318),List(97956790, 58608048),List(39051871, 65490192),List(21089546, 706767),List(50603771, 21757487),List(2657590, 97832274),List(67756841, 88779370),List(16517362, 45281452),List(71438534, 12309809),List(34138195, 22840617),List(85352460, 25812691),List(92804359, 9605892),List(59292960, 37967629),List(97023910, 39931975),List(51873201, 42754879),List(13946279, 67288120),List(85402598, 62037520),List(31536451, 26643855),List(37083674, 1687694),List(66797754, 51122526),List(20532941, 2794797),List(95857319, 60641130),List(99707603, 49285262),List(72033631, 57063736),List(22601578, 17156879),List(96973240, 52367551),List(31742988, 28639216),List(65276743, 81739973),List(50402261, 32055402),List(45187712, 7029084),List(1940523, 92946515),List(74624719, 60556798),List(73830540, 63278673),List(33279485, 54448697),List(29663945, 58064106),List(80546143, 26248658),List(4905335, 98707619),List(62742271, 96449700),List(34103614, 95013550),List(25376536, 88433218),List(52794025, 8552150),List(61285199, 62382088),List(19691638, 72227056),List(34601453, 71858102),List(55862985, 16851367),List(14582452, 65195316),List(89960985, 94353931),List(24187673, 7180616),List(89274331, 93394224),List(47930110, 18075203),List(17774608, 43257644),List(42188785, 12406832),List(75063350, 71151514),List(59602536, 66821114),List(31533248, 44623255),List(83302087, 46293976),List(91320666, 53699071),List(46751175, 70228905),List(62892588, 72027758),List(66554387, 34969907),List(54256957, 17736943),List(45219963, 64748111),List(74225751, 93895009),List(33495765, 51464015),List(45069366, 97080791),List(39535982, 49690478),List(48817200, 59969343),List(85731306, 41332910),List(2761362, 6955122),List(4309877, 24197094),List(66545937, 3660490),List(74604256, 97524396),List(66454926, 81450871),List(32613576, 77685635),List(60268048, 73307350),List(71937873, 51328084),List(36904444, 30379782),List(45463851, 35286978),List(84542891, 91906461),List(54730243, 93075674),List(44909048, 8217681),List(58829221, 63836484),List(27666647, 2817541),List(40415082, 92202826),List(80467866, 90663574),List(90359125, 26109897),List(35612076, 89562090),List(634229, 32355368),List(71086012, 51754518),List(94595260, 66652228),List(56932392, 86725091),List(94241723, 55782089),List(91871188, 53053146),List(42363416, 85570909),List(5620549, 75032292),List(2442659, 15147812),List(15333039, 78781176),List(85482813, 31125580),List(2530575, 63780409),List(31470609, 58843069),List(48737859, 86636671),List(60466246, 90561496),List(53252946, 97752096),List(70656332, 518366),List(77713094, 85583230),List(35124634, 66122641),List(61165958, 48697969),List(56347127, 67764831),List(60136806, 44510714),List(75771577, 35571504),List(73707535, 5197636),List(85041224, 29059282),List(89132235, 52451378),List(83017929, 89620967),List(7558440, 63869019),List(1013628, 78103670),List(95468708, 16389570),List(75657935, 32053853),List(23429798, 81753863),List(26165001, 69614453),List(32067448, 69728127),List(27775963, 14930533),List(77199845, 49856358),List(24698643, 77227271),List(18974940, 11069729),List(3413128, 69586161),List(46757227, 21922921),List(84336827, 64185402),List(92410173, 95668176),List(32250052, 2701068),List(72989687, 82548358),List(87776382, 92466485),List(39149661, 68198046),List(48908079, 19902928),List(58697981, 22316629),List(20082005, 59168558),List(82483373, 89465990),List(14204627, 50971757),List(99203546, 84397055),List(70554191, 5331743),List(12186545, 18453246),List(72887912, 4122637),List(4505544, 24437585),List(39110375, 93025128),List(61420083, 63784449),List(66796544, 5164943),List(38889678, 45797743),List(71816897, 6970694),List(57858046, 71571539),List(56119352, 78552439),List(47317214, 77255991),List(63454630, 94768521),List(899956, 95561300),List(39935919, 12472459),List(74679708, 76817155),List(18483344, 57892768),List(71692379, 97544935),List(90621, 86116211),List(64518443, 92283351),List(85910504, 79983252),List(16792052, 14345649),List(65367168, 11286700),List(17075804, 73800746),List(70569569, 94885815),List(27818100, 13476214),List(37154712, 8048415),List(5343656, 45522164),List(44014752, 32108743),List(35419630, 5732191),List(67016078, 3771563),List(25138309, 11888810),List(23732467, 71394340),List(66041865, 50771416),List(254280, 69881210),List(92967447, 39856108),List(79931686, 68074769),List(19063608, 59802652),List(47047476, 91715721),List(5711025, 46543516),List(7021469, 4275212),List(95451269, 7377196),List(41148610, 50156177),List(27287491, 44242516),List(24273110, 52674582),List(66453190, 74801198),List(77321046, 777012),List(30396096, 8471392),List(84284428, 29212789),List(97045273, 35903102),List(83118008, 50691126),List(2512597, 92343852),List(33932868, 80446473),List(365568, 63324558),List(59026678, 71598651),List(38946816, 29621291),List(63270257, 55680371),List(19876773, 41924937),List(5582258, 37864376),List(2571279, 48812090),List(30803245, 53411164),List(49151589, 84347722),List(10179462, 60231831),List(38741483, 42077129),List(421908, 36712915),List(24385488, 6575064),List(98063343, 1467596),List(11130960, 46497266),List(21535185, 80814591),List(84483197, 26781786),List(14496963, 13234828),List(39122494, 64984666),List(19725585, 33599933),List(62772462, 78584613),List(87372245, 14703896),List(31622289, 2887825),List(84511410, 8309202),List(96229626, 63313346),List(41078761, 12220614),List(17361106, 42751038),List(96195457, 73833107),List(14509892, 39976634),List(80612968, 43617332),List(89128952, 89829298),List(12216806, 13304789),List(51799132, 60614014),List(1474574, 96102686),List(78899826, 18533105),List(11534380, 48534995),List(34807914, 27578107),List(89013338, 98203436),List(87991240, 66971945),List(12719203, 38347574),List(4620170, 23595849),List(36769074, 76110056),List(78504552, 53008357),List(42884469, 37760229),List(31905990, 2798600),List(17612026, 29414682),List(85337115, 81609166),List(78314432, 28502468),List(55692705, 64978563),List(6497563, 6602637),List(61799153, 64939461),List(58899061, 22177729),List(42855733, 45986899),List(74258214, 35489563),List(6352587, 32812983),List(29481180, 4411457),List(81605501, 2188590),List(64792673, 74922206),List(50574607, 41390048),List(68369882, 776433),List(77970800, 23759492),List(49064400, 8586630),List(51797800, 33692235),List(17113834, 27299375),List(15537287, 86441412),List(1787065, 73898934),List(76982648, 59532021),List(24520307, 30878176),List(43814185, 71434822),List(78024438, 64876703),List(14826079, 90251243),List(42307360, 96217226),List(605210, 96822305),List(68637381, 95939204),List(21242340, 6847164),List(22472658, 15905765),List(44130533, 32367889),List(715589, 96680145),List(67124683, 50099566),List(97371883, 57156829),List(88058025, 58231510),List(92051364, 50487713),List(90125822, 47426356),List(75390260, 28578829),List(27643914, 28718004),List(32107306, 18504609),List(70062684, 90487060),List(80836528, 70066439),List(47805508, 34344466),List(55591011, 73103809),List(17409645, 78260431),List(41586758, 17401916),List(7024751, 49494392),List(31088615, 30776170),List(57826624, 82145533),List(44523413, 92330045),List(35025728, 8271090),List(15787847, 25867567),List(26255799, 20910455),List(88187717, 11549424),List(66373728, 7084293),List(83017993, 92541879),List(19570696, 44999037),List(98308650, 34079849),List(53617332, 38085182),List(52051064, 59982612),List(49689533, 76035948),List(37012878, 45324514),List(63933577, 57863938),List(85148677, 32758512),List(52713265, 24280528),List(42883322, 9363138),List(67195384, 85021833),List(63900289, 27688743),List(25857142, 83139312),List(59392760, 7863912),List(65737168, 93607280),List(7065865, 28964543),List(37630213, 93220810),List(19219945, 1329009),List(17609089, 98751498),List(38384020, 39958062),List(26494540, 34735454),List(45081643, 51500637),List(74935677, 73774687),List(2798421, 40798194),List(79209393, 29464644),List(42130584, 55300890),List(71163729, 53617354),List(43866471, 71635930),List(66458000, 37452484),List(25580197, 35043804),List(84128139, 45065521),List(18354634, 27534722),List(37943422, 83903831),List(1402587, 68927281),List(84562504, 95572156),List(38050946, 84441332),List(92129830, 48051417),List(46717099, 23158848),List(17481986, 45846776),List(12342413, 84465231),List(9722893, 95270689),List(16839977, 50858391),List(53139246, 55928293),List(77120715, 87809890),List(58156067, 84842128),List(46915705, 66034423),List(27731502, 57748535),List(81248245, 87492466),List(2996797, 4078957),List(43607702, 17486307),List(8444665, 14084976),List(65448731, 24806510),List(51878767, 6344891),List(77887845, 37419798),List(52908025, 4638763),List(60550888, 7894344),List(63129398, 94315926),List(57414871, 60179162),List(17008981, 80395538),List(45137428, 48765831),List(44701490, 22927827),List(77793899, 42302091),List(66919743, 7311226),List(78459146, 88669122),List(4405464, 48360485),List(27424587, 1102233),List(47749577, 78550458),List(75160440, 13572589),List(75203800, 81474095),List(57753671, 38055730),List(52736372, 33849890),List(48521262, 75825789),List(97146759, 66669706),List(73438156, 16111357),List(68574953, 66519060),List(12715770, 5112965),List(6620147, 59953823),List(94150759, 45495082),List(13272523, 90166172),List(94712340, 25968220),List(58021137, 68853004),List(98946718, 50547907),List(93483211, 37508213),List(39538299, 69041129),List(89709999, 93621736),List(15693240, 94302891),List(51574587, 16408574),List(35176633, 57168212),List(46018725, 80853380),List(43481528, 11147700),List(61240126, 56882701),List(65044349, 39765974),List(53051688, 91728327),List(24258376, 64915296),List(66032383, 12671909),List(7629277, 94911195),List(11124111, 82253957),List(79791380, 41419319),List(76344317, 77780347),List(48224681, 44781077),List(85527699, 41648259),List(22961915, 44385622),List(6622373, 16302715),List(2200243, 25890645),List(27035653, 76628341),List(39770712, 13534607),List(57182223, 53035976),List(44200141, 82139133),List(83457634, 24658069),List(6521476, 47626051),List(67489100, 59138961),List(72604552, 48855778),List(25954411, 41841519),List(63159238, 5648438),List(46562458, 99733085),List(902678, 81856387),List(12651116, 8994127),List(79250846, 30187303),List(15319545, 55528334),List(87164424, 70254503),List(58650530, 5572429),List(53708015, 41382617),List(43561118, 49897796),List(27561322, 43137566),List(21190690, 48600134),List(49318864, 61024937),List(44825399, 32503111),List(96786072, 45046600),List(17659928, 3735238),List(62140011, 67706065),List(56103311, 52909249),List(35493659, 85969943),List(74831553, 30134980),List(87401830, 85970371),List(98060361, 40041854),List(12434936, 32317105),List(95777706, 48152716),List(27612113, 88173445),List(25098666, 24645264),List(90483181, 73935797),List(56832471, 85919166),List(75662252, 12297764),List(63002459, 85784707),List(10819807, 10165671),List(40921595, 98990545),List(12798343, 20619357),List(30027469, 6415431),List(73580640, 98420212),List(52807198, 95504713),List(8293171, 28682254),List(18059927, 62978407),List(30538780, 6421147),List(52958499, 42466454),List(38120289, 60118066),List(67917376, 74613438),List(68361754, 69160161),List(79903167, 38219573),List(21954411, 60689465),List(31244652, 13749176),List(66294146, 45057941),List(2060137, 84141695),List(20430819, 10715632),List(23996617, 83484346),List(94218884, 98698161),List(69487108, 89482816),List(97184535, 33610771),List(44211749, 14671373),List(5514287, 9502492),List(88101098, 5013414),List(38963556, 75535620),List(56084327, 57101173),List(28334538, 26487527),List(85266395, 81528506),List(9494039, 97545628),List(58790181, 54741543),List(13301349, 43270128),List(5750999, 29538491),List(97642450, 26825940),List(55019835, 39638304),List(48830165, 85135394),List(23159562, 64431447),List(59673590, 9955568),List(34073778, 79151905),List(18172317, 14066680),List(71446978, 60034656),List(20321411, 95399770),List(2303812, 54146099),List(83727896, 4753973),List(77666052, 82537487),List(8504510, 11863579),List(30861516, 88679936),List(51531025, 18170956),List(4982894, 61556166),List(14116607, 12262448),List(1441639, 41882484),List(27380897, 50933556),List(52524415, 61795191),List(16569592, 7397112),List(62037825, 46646284),List(61386278, 16020641),List(53046210, 7848058),List(34378475, 54596411),List(13624614, 71289135),List(32755200, 17608160),List(22457036, 48353417),List(32600622, 8612665),List(26139006, 69936171),List(5950639, 74789179),List(37012489, 59734998),List(80539932, 47373344),List(16624461, 40006724),List(46033951, 94672819),List(60470254, 13575164),List(84383937, 89443940),List(846642, 96678031),List(96564944, 84700850),List(27502347, 27282049),List(72361318, 68955721),List(66500069, 73002404),List(52514433, 34757960),List(1450313, 42938823),List(86876268, 57358458),List(12453853, 45118581),List(50583548, 69842703),List(43906547, 87400587),List(90536618, 12375136),List(27526323, 71466227),List(38991576, 89481579),List(53148216, 95375231),List(35900862, 49092716),List(28298510, 85249784),List(53196322, 46562660),List(43539867, 42906797),List(8998010, 265177),List(1187655, 56046355),List(125057, 56862344),List(22039026, 2669027),List(35386614, 35227209),List(71944788, 92378573),List(54217037, 87412341),List(85214228, 62866312),List(67132300, 22116967),List(74871069, 13996834),List(20695983, 90851033),List(93968606, 56742200),List(99510877, 45409623),List(56474241, 95729346),List(86943920, 18240600),List(10175086, 57559832),List(32076761, 46728358),List(72139712, 80112435),List(63082507, 65611646),List(6216223, 43482408),List(76875319, 69632005),List(4090862, 74762890),List(64638300, 80488937),List(98887895, 51021295),List(52820265, 56518824),List(59864524, 71978939),List(53614235, 7561196),List(87467810, 70045916),List(16762818, 28608977),List(99902973, 90259515),List(30363007, 70200123),List(92750493, 78807421),List(51356492, 36204224),List(42783094, 83357675),List(29740768, 60449000),List(78011930, 34494642),List(48881186, 48606417),List(74740856, 73506027),List(5348318, 80584633),List(2488710, 54458958),List(25528752, 75126804),List(63097486, 54991861),List(64148462, 31072277),List(16399974, 63788508),List(21167133, 80949880),List(8808045, 45883549),List(96330182, 4299363),List(21977748, 1827737),List(21059133, 91867496),List(83876309, 51125643),List(1378142, 82829820),List(15519204, 8143318),List(36644990, 99194630),List(36958408, 10501866),List(76802707, 22343735),List(71760755, 22678995),List(65002346, 79387952),List(90038226, 45926949),List(48120706, 55609888),List(81688308, 22859825),List(17507868, 1884044),List(34182521, 54787289),List(61670132, 51320348),List(32073914, 54701863),List(37143219, 45760887),List(48038615, 31037847),List(85890928, 1666850),List(77122484, 98221859),List(67682638, 87923109),List(2865178, 7343466),List(37956373, 89861916),List(71718965, 69235686),List(13938609, 97722283),List(43292802, 93929163),List(26129771, 69802140),List(72962046, 28849889),List(93932893, 9843343),List(93903242, 49564839),List(80579908, 39049457),List(30296192, 99872110),List(67838444, 24570634),List(78676089, 39106403),List(56099796, 58475768),List(5705325, 2047048),List(84832465, 73231398),List(45501880, 12125036),List(55443944, 58399981),List(72381623, 78191557),List(68327953, 41535123),List(65643331, 78199344),List(15869211, 56052249),List(69836533, 91363729),List(95501855, 66367591),List(2139, 11435734),List(41846326, 88965080),List(90859107, 4697059),List(61890740, 20036987),List(61412971, 76043339),List(5481964, 10003715),List(78025404, 70394609),List(99165445, 85666169),List(13314320, 22487047),List(1010972, 63684818),List(5425082, 85570296),List(92195611, 10757221),List(42955558, 29744152),List(41609433, 13479669),List(13804491, 11832759),List(83414812, 89742470),List(7465254, 7494513),List(97070619, 53108810),List(65669493, 14237891),List(66325631, 55018808),List(22432033, 61095430),List(43018803, 51068905),List(73535554, 71905704),List(91214375, 14105493),List(25471416, 29429778),List(8419899, 55508592),List(70349125, 36428393),List(18803182, 56560691),List(50938790, 42862820),List(45568781, 15059226),List(63190176, 95337781),List(50034954, 44119468),List(78774803, 32850918),List(82011868, 44932643),List(2554293, 60853787),List(81176227, 78035630),List(59867671, 84549029),List(74321042, 49538979),List(41920203, 26703639),List(24890149, 78902101),List(91084775, 30989121),List(14975742, 5805679),List(75510595, 626656),List(92388288, 83201214),List(13265481, 19151856),List(58163715, 59855958),List(68021308, 67052951),List(83477462, 41547163),List(80374359, 25107179),List(45177257, 22403135),List(77215584, 79591996),List(99052520, 57750474),List(21926365, 27042306),List(2700610, 21514813),List(22912001, 21908670),List(33799401, 51641910),List(6739415, 77293124),List(64330678, 30627294),List(3660592, 904276),List(61045888, 82445672),List(91404614, 91636264),List(74628275, 11616217),List(76770079, 95891502),List(62801134, 5833797),List(19298357, 30325226),List(67022341, 57053899),List(86444434, 56966556),List(61840398, 12531610),List(56908382, 63942299),List(42793907, 49187042),List(92920528, 62765432),List(88381837, 69655797),List(50289072, 1691341),List(70849882, 4671765),List(46423884, 12396142),List(77948198, 33995566),List(89835456, 29848034),List(86386021, 86856738),List(9416206, 97379209),List(91769586, 53072990),List(32911924, 55388706),List(22936836, 81606690),List(59385398, 36225403),List(62509138, 53705870),List(78121914, 90120302),List(13036855, 64322813),List(64993535, 34241183),List(36022206, 19845658),List(60911492, 37021164),List(35469915, 50219306),List(13325313, 59198443),List(69272449, 21284993),List(61647945, 19972773),List(63415257, 49147812),List(90659004, 85437598),List(9536471, 29795585),List(83076328, 99716828),List(98106699, 63805319),List(43492579, 11612805),List(797601, 59138087),List(31378845, 62486470),List(5886368, 13785177),List(48616793, 98636732),List(69941429, 38916704),List(2093287, 19731879),List(90740091, 25574266),List(68751915, 4393598),List(49863714, 90143644),List(34394003, 45038123),List(90379241, 32929097),List(36341344, 44374199),List(98860949, 76764144),List(91445409, 40205214),List(3494211, 56889713),List(99064990, 12783671),List(67875362, 11625276),List(72996622, 86887314),List(80626255, 48148055),List(63704465, 9386044),List(88103744, 43230480),List(35580814, 87244302),List(81938263, 43776747),List(81202875, 28276302),List(82121693, 12300649),List(20267195, 39577858),List(57923640, 32159236),List(5609361, 98154305),List(22573901, 63696983),List(44021434, 14134705),List(39379926, 52120342),List(5367400, 76955451),List(89004855, 67317596),List(7356636, 7697795),List(84629737, 67331556),List(70795067, 66657636),List(19276459, 95222921),List(13014133, 64908205),List(3024081, 57656108),List(25679608, 98708357),List(4206844, 6058954),List(87851217, 97119574),List(16328972, 47768006),List(46019280, 98943630),List(33823353, 88976282),List(67023258, 77554865),List(9089772, 81945165),List(52802632, 28154514),List(45426397, 4957708),List(71815585, 52214723),List(75305787, 42456030),List(37241805, 25839072),List(18976586, 54759568),List(70235145, 7306945),List(14504471, 26469639),List(7617602, 31752319),List(63536231, 87708749),List(8645833, 2144584),List(65769222, 84877179),List(29221191, 91768797),List(89299451, 78423721),List(3405826, 97245121),List(1730709, 50676175),List(31337156, 121379),List(85351717, 59867736),List(29067122, 12725771),List(64617483, 21945244),List(80063117, 56885661),List(49712642, 40095059),List(54890011, 5827273),List(47711090, 57031930),List(23031674, 281281),List(99372296, 30176868),List(76749465, 30051083),List(2886963, 32668918),List(86819526, 53380691),List(98989476, 13280859),List(27614569, 94457716),List(30965160, 63236882),List(10282719, 2116505),List(7066747, 369232),List(63179150, 64355835),List(29479233, 97025409),List(4614908, 80501999),List(89866680, 83010940),List(46098866, 47778290),List(10149974, 2888827),List(45359121, 15296865),List(77092251, 42820260),List(36247554, 72923482),List(39228188, 77001505),List(17947909, 84769370),List(76259525, 67425196),List(3695011, 33966579),List(4291914, 44863950),List(4858750, 60068553),List(85399066, 30197108),List(95236395, 29141862),List(53521624, 26054112),List(41425807, 43253975),List(39743495, 33534750),List(90744431, 50680860),List(48183919, 88699239),List(34447805, 34922638),List(86009208, 28931514),List(88873885, 88371746),List(48234918, 75915866),List(88780656, 93689721),List(8265591, 24679730),List(90905683, 79143177),List(96687145, 16443121),List(6184767, 26751816),List(48142074, 76377338),List(12984969, 71224720),List(55425390, 38846662),List(54381515, 31005119),List(2024659, 58876170),List(59812226, 3555784),List(67961609, 85145903),List(61926031, 24757827),List(91389965, 65832328),List(71127731, 7238795),List(70470354, 47409949),List(10599660, 69757135),List(97795984, 47452853),List(27014783, 72472146),List(62242999, 14445287),List(93169956, 61767121),List(1318795, 6633054),List(41854232, 83371739),List(59972106, 54525617),List(80274072, 50640849),List(58962778, 80187423),List(30139587, 94694566),List(58843222, 18490948),List(93459021, 20012262),List(55053281, 69031766),List(64759278, 70317403),List(98296154, 20132132),List(59386867, 86319952),List(49639941, 52460822),List(82866839, 20045982),List(98053589, 19139858),List(75816357, 82676482),List(710379, 77213393),List(32562279, 64029810),List(28940634, 9468285),List(3649085, 23133686),List(20964802, 12416283),List(65998470, 30211731),List(70029174, 11988140),List(44662613, 31753992),List(25997511, 75630024),List(67183301, 56676167),List(97500267, 46400170),List(91173888, 54902242),List(7770654, 82356313),List(40741538, 14162608),List(80065633, 20758832),List(16501751, 13298613),List(3718607, 19510244),List(39860534, 90888927),List(44989860, 90011937),List(21604979, 52200618),List(76439027, 8866933),List(29817677, 52247651),List(1325292, 77365071),List(68851480, 27544875),List(95193251, 59643764),List(99142784, 30358156),List(12254375, 86032244),List(45313781, 67810275),List(63095617, 48892215),List(51113422, 78371276),List(1376439, 15133002),List(53339613, 41228881),List(18915389, 47927863),List(55786652, 23820254),List(86627895, 22320137),List(25784615, 35035512),List(99290078, 51950438),List(61115654, 28981700),List(68574443, 82918555),List(83844958, 58002761),List(27457506, 47272699),List(80029253, 70090962),List(8153366, 49407953),List(79108012, 25217293),List(79755764, 68217735),List(1265353, 70461294),List(55937345, 52240442),List(82386184, 94744568),List(21222910, 38571009),List(68200011, 50231475),List(53907713, 86312375),List(47621846, 75970690),List(34423058, 67932824),List(20253971, 35728509),List(10910637, 54912154),List(88829993, 72123463),List(10512407, 25959039),List(51999893, 872581),List(3963578, 15670598),List(29907174, 12271616),List(39600750, 5711402),List(95475448, 48780598),List(16802032, 16076527),List(49170020, 22765124),List(63248792, 49348676),List(3734369, 49403921),List(76830460, 89432449),List(66371223, 87284650),List(20814615, 94297686),List(93419733, 85094583),List(58907672, 11776975),List(43440856, 7702294),List(85021745, 43490967),List(60544320, 37720897),List(14344135, 47778642),List(84303846, 57029512),List(40740726, 7351010),List(93064833, 6310517),List(64868544, 54279065),List(89835581, 92288433),List(2454391, 978482),List(65803113, 84558654),List(6857807, 65999345),List(84364477, 99660931),List(51894659, 68084042),List(78324367, 73051504),List(2857297, 78283392),List(86379669, 94291588),List(90534645, 43026904),List(25162998, 23880732),List(66916033, 78903124),List(10640119, 43251337),List(22426295, 62300908),List(11560314, 44165905),List(63748855, 83015585),List(62024217, 54290712),List(88796555, 84564710),List(21572652, 58646446),List(69925821, 64340219),List(27281022, 56866562),List(69304094, 92420279),List(27852161, 11661572),List(3990494, 28542327),List(38376732, 73944761),List(38092953, 49876236),List(6245812, 3527463),List(90541742, 43399242),List(55360600, 23923454),List(77607810, 57619231),List(90239054, 650225),List(13858705, 26658882),List(88243752, 69554425),List(78162558, 87960026),List(83312128, 39979499),List(60373420, 38696611),List(90144947, 4415954),List(1043383, 39572331),List(73600947, 48277413),List(73323726, 99964730),List(36412994, 22314000),List(3704622, 17940947),List(5926635, 36286467),List(86203887, 46050741),List(94991592, 41712080),List(61835376, 54303147),List(84586142, 42945612),List(628664, 14936856),List(8150380, 1540867),List(25111873, 11161209),List(48451169, 14331649),List(74543241, 98669190),List(19111767, 67563228),List(28818933, 97115843),List(10467218, 66900072),List(56992086, 53090329),List(79909522, 57384748),List(9926770, 61639851),List(83938101, 71682041),List(2537429, 78916483),List(68934148, 54199105),List(81672397, 96876524),List(16024993, 71928741),List(20583367, 68464485),List(79379721, 9768666),List(37944703, 79541801),List(19024414, 87384162),List(66852874, 73740031),List(96177499, 67765258),List(31199464, 43432399),List(3508733, 39502444),List(33705608, 74914834),List(46479439, 11358298),List(25485159, 90591407),List(20399093, 93462483),List(1650116, 42041913),List(44961328, 10542733),List(6126768, 52756289),List(66045432, 9033201),List(58834340, 24101763),List(83705599, 3797833),List(88583587, 91626983),List(76198194, 58990864),List(74219148, 18322614),List(6632537, 6567075),List(31283612, 14788753),List(79972337, 8766908),List(31463165, 9676322),List(61866682, 58685850),List(44352145, 45713486),List(62360633, 13219335),List(43766259, 5834385),List(88810076, 85216823),List(15130733, 54565541),List(40165373, 50523029),List(90067239, 1467643),List(90442889, 695568),List(54457360, 28529263),List(14937404, 51856266),List(54153119, 86824746),List(12032120, 31769628),List(42858168, 58174060),List(35338524, 61091651),List(11295798, 37748548),List(85316778, 26953376),List(85831030, 84532236),List(87907158, 83063071),List(97236463, 29427940),List(29094685, 46146847),List(95855656, 39690480),List(85621328, 18504773),List(76255673, 37540455),List(94541646, 83445667),List(88778721, 51877886),List(63802029, 33866212),List(38236429, 79825575),List(61742450, 3410515),List(3506879, 40474938),List(90159044, 4947252),List(20209846, 31979046),List(4369758, 92546194),List(80780046, 14942471),List(34983097, 92807877),List(16438187, 98037809),List(88950280, 24917811),List(76904533, 27942449),List(50641017, 84929087),List(64008971, 16495400),List(88330485, 50155544),List(71590306, 14842614),List(97680403, 10091290),List(98483203, 89025606),List(22345290, 25012142),List(1171879, 1639490),List(29064234, 53971839),List(75379062, 2396049),List(9939956, 69156803),List(36494415, 93078864),List(863203, 33907456),List(81404471, 26494639),List(83035913, 70114114),List(75340973, 72087964),List(18308102, 75952114),List(81359411, 57538135),List(59126973, 47151480),List(21041924, 90396269),List(32299444, 32327532),List(70327892, 13122829),List(56513898, 15032193),List(60769742, 14621781),List(47931244, 7642850),List(32104914, 59736303),List(67350772, 78405571),List(7839163, 77009433),List(40036804, 38716126),List(79856911, 87131957),List(61526882, 31763872),List(20876970, 80332738),List(80214375, 26647798),List(64965437, 77043864),List(18321786, 48055272),List(85958609, 78177854),List(17120578, 95928118),List(49072878, 92025164),List(18590755, 73643370),List(74389874, 52945580),List(44659668, 51381115),List(43338954, 99321803),List(45067996, 68766141),List(68198015, 92217690),List(2263465, 72418456),List(95119190, 61026743),List(49978192, 80874983),List(5361585, 20413605),List(93690448, 71910115),List(37479582, 97396934),List(31622795, 33752239),List(41609476, 31015984),List(80173330, 50952226),List(47990735, 1116581),List(4582126, 25184371),List(59591848, 75535000),List(55194110, 15946532),List(34593371, 97460543),List(88168679, 54530162),List(56647057, 18630028),List(79088096, 94700888),List(66650175, 24560833),List(35397250, 16305452),List(82730298, 23196234),List(65692049, 82558359),List(86202158, 35805389),List(58814081, 29592932),List(55990278, 14958637),List(65859198, 94336241),List(64901687, 77327355),List(66311588, 44386957),List(81421851, 13637917),List(10492305, 99002399),List(34373367, 22971209),List(71867130, 41129790),List(5834411, 43137813),List(35407919, 28238588),List(31450183, 51385920),List(93301941, 9413786),List(67526476, 29050516),List(70830918, 59696776),List(735039, 8661012),List(10344864, 48876785),List(92313878, 41107959),List(90993086, 28951642),List(47508133, 55728383),List(63546529, 63080615),List(48313423, 4578720),List(58510349, 49672653),List(32441785, 56539828),List(49128408, 61389410),List(10114989, 20151327),List(65069189, 81577104),List(34594602, 93037438),List(62440725, 55560029),List(46992270, 28302809),List(14170677, 22089429),List(28791203, 96322191),List(64284110, 48501089),List(76247731, 71951030),List(44203130, 67359832),List(76432904, 46023595),List(88371074, 56638153),List(44654050, 61461321),List(94277640, 83734996),List(27318963, 86611877),List(77211738, 56574902),List(28588263, 47140155),List(45454465, 51753857),List(57710358, 8886450),List(57040609, 56489939),List(89710432, 92001955),List(16011827, 1609470),List(70019176, 53983126),List(46776018, 9916974),List(78013159, 84247724),List(49371060, 76230698),List(66715735, 19648644),List(61528107, 16815734),List(57266282, 67908434),List(18525633, 96401420),List(79357193, 51061434),List(51407192, 78572172),List(67771709, 11273928),List(26498957, 42945903),List(89870922, 47770750),List(38869780, 22409141),List(97452193, 11218274),List(11219314, 74098498),List(98886748, 96879725),List(70265370, 15720720),List(46316969, 40291668),List(54769907, 54671925),List(80943489, 64972022),List(39158339, 65131185),List(42568919, 61521766),List(40025201, 54828238),List(45154945, 53838517),List(33696675, 25079182),List(85083884, 97922810),List(11435122, 58840487),List(90420107, 28852999),List(72839952, 19011744),List(51001903, 56116414),List(99838933, 73406366),List(59806309, 94406904),List(67319621, 4638344),List(33871849, 76537464),List(13740459, 30836534),List(26761068, 60552297),List(44794400, 74354944),List(49537912, 90602721),List(92328840, 33507571),List(2312078, 23529867),List(16080718, 73278709),List(83200137, 14582939),List(2755373, 63307401),List(26862223, 60245148),List(95688195, 89725383),List(17288993, 97658244),List(43023425, 58739851),List(50830546, 15667063),List(84347015, 48236956),List(1549646, 32040013),List(77072056, 27728583),List(64705175, 16465426),List(88079702, 99736415),List(58069839, 9078579),List(21360354, 1229490),List(5261150, 51799129),List(50608574, 92936479),List(9829505, 58694484),List(10904915, 97179974),List(38512132, 3247815),List(60215178, 85001491),List(33708371, 98963205),List(54358490, 68427190),List(85355524, 57660022),List(1910017, 67322678),List(36400027, 74090016),List(2453983, 37692381),List(28059559, 40292394),List(93666665, 90237237),List(20995536, 97866080),List(16060821, 28233105),List(76712388, 66031819),List(5560470, 75196884),List(40572048, 39684106),List(31172431, 58633106),List(5656651, 63099507),List(54033301, 95511163),List(95569209, 35706022),List(60963753, 5166277),List(5208678, 14555270),List(35366347, 35832295),List(75822963, 10117005),List(11508349, 75315243),List(30263577, 70448931),List(24513104, 87386171),List(70680826, 38032),List(647472, 5197666),List(42504790, 64561469),List(57040184, 39640548),List(1504602, 52443390),List(57460307, 84159086),List(4890056, 50106129),List(7108660, 67802635),List(12780062, 12796280),List(45164218, 29259640),List(80459066, 7909793),List(23748664, 16334674),List(65074015, 22858570),List(62996730, 25048907),List(56009251, 97024714),List(98563611, 39742722),List(49452350, 16164318),List(26622527, 30198852),List(78297444, 62317923),List(81476661, 2904240),List(59460441, 45328932),List(87977698, 99448076),List(52084961, 13399867),List(89870811, 44900696),List(45864098, 84957829),List(46352149, 24299885),List(97739889, 71291479),List(98117489, 67804716),List(36367697, 76662148),List(38677665, 3950518),List(79593416, 67264812),List(97136286, 70275715),List(87132431, 68570409),List(97402105, 21265421),List(75067882, 19145469),List(4852423, 74494334),List(10760385, 70821294),List(60751245, 16658065),List(68162795, 69881965),List(24696334, 30303787),List(27926881, 38810159),List(63216776, 8075460),List(76590421, 11490649),List(23226362, 37718481),List(19851298, 85946859),List(74327037, 94101406),List(96332299, 18277528),List(7814056, 83311266),List(59016683, 34709118),List(44848373, 28931359),List(99011511, 24295901),List(98276333, 98147167),List(89863112, 86923229),List(20277886, 38084381),List(64941723, 65410831),List(57438532, 96630085),List(16867620, 98875661),List(42372977, 54195593),List(96891903, 46083619),List(56788687, 69264047),List(53481379, 23514404),List(97417026, 31349770),List(15690990, 75951183),List(51855630, 31026822),List(60927643, 21929827),List(51629188, 43601564),List(97657656, 80663317),List(4545303, 75441043),List(79295447, 8336207),List(83619267, 51480343),List(32170481, 31298214),List(26946128, 86070690),List(46122930, 99978499),List(43264525, 35218914),List(77831339, 58776380),List(38531643, 5506327),List(21887155, 42982424),List(35134706, 76609905),List(94417829, 22040794),List(98657244, 80912251),List(35971203, 18248100),List(49080440, 49752985),List(43797979, 76365630),List(35203328, 32269382),List(77909638, 31120335),List(1339067, 23832813),List(85414325, 89024598),List(6845802, 25919271),List(43717501, 52555640),List(20838418, 19498171),List(42757264, 26861437),List(1458602, 68544613),List(22986101, 643906),List(61010592, 517906),List(75944202, 32030752),List(50891806, 57487676),List(39706100, 83382515),List(85465447, 24942329),List(99428381, 73271407),List(61234302, 88597146),List(907867, 4656465),List(62961925, 72521039),List(42410186, 86618280),List(54711568, 16199662),List(7183257, 74493791),List(54896707, 12568564),List(69311659, 86847523),List(89044693, 78037234),List(92514673, 1443125),List(13941737, 42254916),List(26328027, 97796850),List(72146547, 41815383),List(89724550, 34742804),List(79182702, 27897283),List(24678563, 55032785),List(79157504, 53508906),List(52015251, 18299257),List(14156156, 50091243),List(1801147, 16214444),List(53086480, 98797351),List(97282672, 43786197),List(95284176, 35165232),List(62048947, 2540175),List(68045521, 90005477),List(55483894, 99503147),List(95783425, 21649080),List(65443936, 76933471),List(36377480, 98274795),List(77203992, 81495390),List(32849035, 27411461),List(31666147, 90007647),List(95114259, 86434696),List(164708, 51885970),List(78586900, 16263573),List(58214266, 49271068),List(95223974, 21586974),List(54649173, 2999609),List(33201594, 21149164),List(54454235, 80336394),List(35935197, 94614795),List(33121317, 57386914),List(21930609, 33141218),List(3337401, 28137326),List(24326728, 41647074),List(98099444, 22863194),List(7885774, 1998148),List(22334581, 91488455),List(66293468, 49033570),List(95506286, 47183119),List(14554301, 39256180),List(3332186, 13932259),List(63750085, 4340892),List(30626785, 85062414),List(58510339, 25125361),List(78738890, 76920801),List(2553894, 13743738),List(30712267, 79212427),List(49584234, 88157161),List(9788182, 60976101),List(5931891, 3454455),List(93024949, 54031117),List(21629046, 87658958),List(42768816, 93455497),List(74871461, 31308260),List(72908761, 63336722),List(85689179, 94106940),List(89394948, 96340546),List(25238792, 94932291),List(51741943, 46265674),List(21629289, 28692380),List(15405151, 12445483),List(28899849, 87725667),List(98344653, 58754463),List(16951324, 22013072),List(82793835, 85456831),List(6849118, 64995918),List(35578095, 81019656),List(15449763, 38814937),List(4206114, 55790771),List(14567973, 9328279),List(38002137, 12188366),List(86231947, 99916743),List(44005536, 64164366),List(25550723, 29847119),List(91472568, 88969184),List(16391059, 24234908),List(61726468, 14170267),List(60693503, 5725297),List(43956030, 67222640),List(64757923, 22556958),List(31092194, 52728122),List(16031416, 16673871),List(35371191, 71850622),List(73852368, 19610342),List(70982351, 8585566),List(61016514, 30309754),List(3092968, 91917699),List(13799396, 69416537),List(44490408, 81259990),List(84830649, 41567774),List(43715342, 1862317),List(96003373, 73757837),List(52694758, 98868313),List(97149482, 26476648),List(62880072, 74117895),List(38958809, 14888611),List(7743602, 80283979),List(29960606, 13364811),List(69723803, 3089415),List(60582839, 6723302),List(72751462, 25885823),List(85200564, 37263740),List(70590449, 35974848),List(80013801, 10568773),List(50941932, 13230502),List(78948897, 18888763),List(7893646, 91480918),List(59045044, 41925477),List(40296770, 95247502),List(92830321, 35121513),List(14130447, 16913309),List(24911807, 96077211),List(80089644, 76992474),List(20266300, 46141253),List(48247419, 3610458),List(17233179, 74610913),List(28629589, 97116162),List(19200274, 33302454),List(85035275, 91564560),List(75358995, 39397377),List(26622941, 21952519),List(23517970, 44082416),List(81704783, 68735868),List(7023418, 95513608),List(79005486, 73344558),List(71347978, 78174114),List(92326089, 1118412),List(15499618, 25989162),List(49841430, 75528010),List(76668144, 59376520),List(43742238, 14563468),List(71283911, 54238966),List(9698405, 22747410),List(50273201, 14038178),List(37510268, 95070986),List(71183984, 83253867),List(82058654, 94048517),List(8550435, 30832668),List(90098735, 85620328),List(93079086, 55666079),List(18280045, 3549450),List(70669412, 72942953),List(3559009, 90626910),List(60190449, 96573671),List(95780137, 94601625),List(42402224, 40949014),List(25497164, 19984446),List(61296749, 15077058),List(96561270, 38383182),List(12259527, 69408820),List(53174190, 55070885),List(73937001, 6243178),List(63772758, 43103992),List(76196102, 8355915),List(51736683, 50175144),List(37253343, 67690223),List(64250883, 7973091),List(85845399, 86882078),List(36804900, 28064606),List(20356832, 90797015),List(52442896, 90729446),List(23404960, 38119003),List(80872107, 19250537),List(88135146, 55110427),List(7161321, 54361202),List(24999045, 55263022),List(78941228, 9345777),List(17709556, 19653986),List(64927915, 38655386),List(7546901, 28302975),List(96139830, 84314100),List(63852812, 20866576),List(29693087, 6448671),List(75207452, 97863081),List(16787153, 35821319),List(18051788, 94346241),List(70146652, 37699421),List(84237747, 42070119),List(12772605, 10913639),List(21294033, 22733741),List(59086568, 97166666),List(1258505, 63905542),List(51890154, 82563545),List(4563998, 95781593),List(68486474, 8974136),List(51599811, 59304721),List(76832781, 53346543),List(72228039, 45024947),List(2404112, 17140614),List(27920063, 11919728),List(82785405, 30642448),List(96610848, 11792422),List(87870101, 11895486),List(50703148, 38295084),List(48428799, 35001055),List(93187905, 7189885),List(90291433, 76319861),List(77518839, 80716396),List(40866877, 12573195),List(41511787, 14852855),List(75628926, 57019477),List(52939680, 57258658),List(33562773, 48246370),List(90556492, 60922345),List(30298629, 96724726),List(6721741, 94081639),List(30919657, 31691444),List(52001355, 91373024),List(1527705, 94512832),List(7878841, 89955661),List(38857654, 4264947),List(99388316, 76715778),List(71514165, 27253247),List(47984828, 95673305),List(92736847, 61844498),List(40547194, 18506333),List(43226143, 24490068),List(1959184, 96528736),List(56411544, 12367707),List(6181497, 46676504),List(83881659, 77055869),List(24305982, 64108657),List(40377434, 1420810),List(58256655, 24807117),List(38788842, 75400423),List(42169152, 48531447),List(40646975, 2982773),List(56892694, 85451394),List(71758059, 90037219),List(50985081, 70204381),List(5015325, 56153389),List(52295649, 3417489),List(27742024, 40643805),List(55067141, 89820395),List(88977075, 38441045),List(96942786, 28359332),List(36746944, 15182160),List(19588073, 48541531),List(64941329, 86078597),List(15213752, 48265468),List(3838171, 81486613),List(40434401, 69832058),List(87779256, 96518482),List(52541903, 12721524),List(69817502, 43992806),List(54261336, 36381986),List(5694941, 44135400),List(39243632, 38215858),List(49522338, 79464598),List(68360813, 97767100),List(33596555, 28423808),List(58638681, 44505941),List(72733462, 59341662),List(90247072, 66969752),List(18195227, 50741936),List(96304431, 57541487),List(92876291, 56385779),List(24155139, 60650340),List(10624774, 45578971),List(81263302, 85014513),List(27151773, 21286368),List(86275212, 99625091),List(43232124, 61295849),List(27851286, 29098898),List(22679345, 62983457),List(34382231, 14997709),List(79931922, 96141071),List(75255514, 80802391),List(47160333, 20877873),List(54404707, 97162904),List(1384706, 5381411),List(95815794, 73948375),List(27739594, 14389136),List(33109292, 1683653),List(69720330, 25446712),List(49210089, 73737637),List(78168032, 25034231),List(35603146, 54978852),List(95946695, 86509092),List(54498627, 40114674),List(35972599, 19253593),List(98919755, 17584874),List(37853653, 33907111),List(7397007, 72517765),List(58629768, 78582738),List(33061448, 52634246),List(81526123, 17768768),List(86612510, 35796951),List(39689620, 37941899),List(40324673, 20228134),List(58770487, 55237444),List(9207602, 72000620),List(52655812, 67772361),List(23367422, 34024734),List(23255656, 40470588),List(15911437, 44366615),List(63010552, 2375152),List(60394912, 5637302),List(70531668, 83382752),List(71931370, 45235395),List(87804950, 96976679),List(59658766, 55569517),List(34406389, 76651807),List(52188770, 59864288),List(55426186, 34363198),List(15806387, 57288546),List(94493514, 27779659),List(569754, 74129688),List(98570278, 98329606),List(97958259, 80609256),List(31026180, 40951813),List(28493705, 75865064),List(2905959, 6331478),List(57762672, 37982753),List(7673551, 7200405),List(51296165, 712199),List(73478276, 16536604),List(87604125, 65857835),List(92457001, 47888),List(61024405, 2657790),List(34794107, 24295707),List(52733840, 74603469),List(3033693, 8795346),List(89739766, 20327034),List(92166785, 51164707),List(40485203, 64170499),List(33416283, 79205636),List(11945850, 15996188),List(12967241, 56570105),List(49348396, 84604692),List(85384477, 64649082),List(33773788, 48846821),List(45397719, 1978974),List(89354712, 67313123),List(61187562, 28399476),List(62165434, 63449143),List(91079224, 49812462),List(93618836, 13415453),List(85724088, 46878853),List(7396512, 90562221),List(19133703, 37074409),List(48821720, 52617941),List(15794086, 97000936),List(83641913, 16730562),List(48718421, 24816036),List(97516736, 39360398),List(60314067, 47639570),List(96926293, 20623336),List(14230438, 28434984),List(17108500, 22773401),List(21598984, 60462466),List(70718213, 87078663),List(42741364, 70676600),List(12573769, 45679503),List(85102473, 37954608),List(58149236, 91790095),List(82173166, 85566928),List(49136971, 24980944),List(92876137, 60726792),List(88066707, 53971772),List(38360685, 78570745),List(34148456, 53453256),List(38532647, 29288421),List(16791874, 5768459),List(75697015, 88573177),List(91273315, 79161011),List(7946322, 99412353),List(1770749, 60836436),List(53199917, 97821690),List(53117835, 35855794),List(45745004, 10821832),List(68734631, 88778690),List(39170181, 65012506),List(81500063, 36390743),List(13797027, 72215190),List(26019221, 84147821),List(86727901, 6390489),List(42489282, 26886416),List(10183734, 16732597),List(39856634, 52360052),List(41608187, 81658144),List(8709031, 81309801),List(95012324, 38487866),List(45667017, 46091967),List(47380401, 19731523),List(16996435, 58356635),List(64752390, 68054937),List(12921537, 66912355),List(70386206, 62054900),List(96545525, 21926280),List(20837454, 21531403),List(47829831, 79356608),List(50681785, 88846431),List(10517675, 73823586),List(86456840, 5806319),List(47923200, 82130870),List(43799832, 7374786),List(89592991, 42705608),List(38665993, 83614925),List(16598324, 45689804),List(85079996, 41229627),List(45163859, 64811586),List(78398367, 63920164),List(53256438, 78692142),List(63039353, 5175217),List(11106528, 48082634),List(58229912, 30801251),List(84938997, 48807952),List(58828111, 99535524),List(54919029, 91188578),List(38072262, 99864272),List(31163086, 49127012),List(44019470, 95263718),List(10980714, 83511562),List(4268441, 95029900),List(46085363, 14743522),List(33796353, 52216854),List(48611950, 52463053),List(62219656, 86965446),List(66869362, 38129600),List(83276450, 65944566),List(86455700, 252409),List(30294540, 23528800),List(15541804, 54146490),List(6753314, 94415320),List(87647250, 712353),List(94358844, 45730866),List(94739226, 42883278),List(43960034, 81668610),List(74256303, 54937484),List(85409724, 89863102),List(25317000, 13232378),List(37879361, 57805555),List(32848627, 16208296),List(72166805, 40742433),List(95511061, 94849000),List(96833310, 13829177),List(60732301, 23821726),List(99000218, 73765300),List(61944861, 69827992),List(27617959, 51957876),List(33329461, 19061717),List(81883903, 48570441),List(54184445, 19494174),List(68858079, 39151644),List(54072769, 64016023),List(17907661, 44570782),List(85402036, 73205106),List(20418146, 96900134),List(616809, 48356715),List(49897782, 45847318),List(3767797, 98095717),List(77326633, 2104325),List(88236916, 57615895),List(99881972, 12964156),List(70025656, 61558028),List(55196836, 61389255),List(90746950, 2814007),List(50498902, 8685775),List(95385034, 55265116),List(14051430, 47809675),List(70106368, 67538475),List(13657114, 5850773),List(41842661, 43067383),List(36811536, 62507408),List(35532493, 64978350),List(30667683, 69238009),List(57813494, 35306048),List(89694009, 50879145),List(40472690, 69951445),List(98621231, 6785674),List(63390953, 73475521),List(41069922, 98394387),List(10564849, 19696510),List(54395192, 59790934),List(42780934, 29799944),List(55697902, 11634105),List(65505846, 18723375),List(70834804, 46193141),List(13686271, 92678117),List(19259839, 87538806),List(93004538, 2461351),List(2171775, 33702030),List(72317763, 20224043),List(3414018, 63130749),List(73761565, 94353740),List(26860423, 75350098),List(24369593, 74357063),List(75884568, 99035880),List(96512075, 27347252),List(85384171, 15126395),List(26971241, 19238208),List(50118277, 21356279),List(49065826, 87720071),List(43367974, 67590995),List(64795622, 24906498),List(56571887, 94712126),List(23127499, 92307783),List(44066168, 82153244),List(80915666, 31669917),List(36941029, 35156370),List(31727414, 41746901),List(89011581, 51074665),List(15571592, 95922462),List(40749633, 89219051),List(8677057, 17089427),List(49616486, 46976852),List(88331855, 26135684),List(90864610, 17341680),List(52731219, 11518706),List(55209750, 31962764),List(63138654, 45854724),List(11118456, 71108935),List(66583757, 8981403),List(16664720, 48068092),List(85649426, 27162333),List(75551700, 25385784),List(63521528, 8483212),List(43123014, 49566331),List(77646581, 11499340),List(60378393, 9449812),List(89012271, 91863445),List(63065772, 58219028),List(35962248, 90026961),List(97006401, 46226706),List(88239412, 24294035),List(60891730, 37128652),List(11968887, 21598100),List(51503182, 32885004),List(16389151, 4586626),List(1801656, 88970493),List(81905805, 31897383),List(97380512, 54846926),List(29929314, 15627393),List(51759583, 34965602),List(79522435, 11609103),List(57515455, 69766316),List(47504299, 99715976),List(4936519, 88767368),List(61429072, 44389374),List(16361748, 40490066),List(23074542, 56841333),List(88558290, 22235632),List(71583604, 46723960),List(68719553, 30900042),List(1806383, 6591415),List(86727246, 65089205),List(87465153, 89609295),List(10305535, 81940609),List(11352262, 97806792),List(95965357, 37397686),List(98437841, 76428017),List(56512074, 92320698),List(59939910, 49692992),List(49371613, 48790584),List(75485252, 22725386),List(91769054, 51773156),List(20688620, 28889571),List(86567078, 20126896),List(9215984, 36030496),List(29767371, 72629590),List(11644955, 91813127),List(1299655, 86318063),List(70346399, 96882364),List(68067760, 38298580),List(85824940, 6186014),List(16053458, 39382182),List(8278876, 7576455),List(14695514, 38101008),List(64701824, 63507645),List(53766645, 26002011),List(48772555, 96044115),List(96639780, 77664079),List(65685139, 12334590),List(23987741, 58317869),List(33269282, 86644600),List(12080835, 56685046),List(79097143, 77436652),List(28033021, 83629653),List(19241036, 12905687),List(73501417, 8189965),List(77333611, 33430257),List(40879268, 48739544),List(29844677, 38525118),List(31429318, 42244483),List(29672773, 63920662),List(63966035, 67973841),List(24594036, 16219540),List(80111935, 56044814),List(43203466, 86251521),List(15120077, 84145713),List(96476585, 64558825),List(91616715, 71454741),List(49642398, 4218946),List(90303103, 17962359),List(63016305, 95381480),List(24732581, 23775860),List(73524827, 39451638),List(36028078, 69601922),List(55414553, 13111259),List(12204949, 58893703),List(88426206, 95608403),List(2626729, 86342234),List(57350022, 31131656),List(910375, 43479192),List(8108756, 35882382),List(3654692, 42051340),List(22434761, 68913924),List(57376464, 43440755),List(96667957, 83039655),List(73256667, 99472281),List(34503982, 55026690),List(36069261, 98362859),List(57880821, 61374605),List(67754094, 24842758),List(80303170, 15019490),List(47101745, 70112582),List(36300059, 541846),List(54516803, 30343143),List(86230776, 48985117),List(9004067, 60365873),List(58461497, 63176441),List(67253626, 98356602),List(76839909, 39737667),List(89566194, 19523641),List(46893297, 11963494),List(93209131, 57399519),List(98186459, 60752939),List(67758163, 12693475),List(11896743, 89577746),List(13700362, 32295877),List(39204120, 874782),List(88520493, 79129631),List(20912443, 41704051),List(2151148, 49369796),List(15484072, 86311805),List(53979762, 97784670),List(56769387, 46870202),List(18647216, 63139256),List(41479340, 60219293),List(57365534, 2945097),List(29695691, 91100512),List(27987550, 4610961),List(29862965, 60854627),List(80846397, 59806464),List(50202206, 28692635),List(85750224, 14006982),List(98960875, 72831573),List(66311716, 79832654),List(79867788, 26346643),List(68096567, 47887206),List(7441757, 69483924),List(15776442, 62798230),List(78926548, 53079181),List(56999784, 11925298),List(30992878, 51392647),List(66092538, 29664565),List(83904065, 1319019),List(6209493, 33235526),List(22823316, 36667448),List(65855369, 3678394),List(30714189, 68105379),List(92231191, 88674826),List(2946965, 71817729),List(21032422, 23850058),List(62114979, 42171790),List(55927062, 77080359),List(83090612, 88808889),List(43817066, 17145107),List(55283708, 4374353),List(44813803, 8894507),List(34120430, 25608030),List(69426004, 5034749),List(86672530, 44150927),List(98571064, 77534027),List(53057231, 39974017),List(81199507, 18589778),List(69934714, 93834085),List(61346036, 62574549),List(39352080, 30714629),List(55330569, 98399619),List(89604331, 71216408),List(24179261, 51993331),List(87790833, 48723315),List(4370284, 60741962),List(49409966, 78012739),List(91917827, 75974097),List(44952432, 54722299),List(42846068, 63579548),List(59532719, 46512283),List(93131173, 73526055),List(91077034, 3676498),List(59738106, 83351530),List(84807162, 88234315),List(16035660, 27027266),List(14433819, 36585346),List(1561662, 88390195),List(81655209, 74337687),List(1938452, 78362155),List(55351317, 41776297),List(79095395, 74973548),List(77922522, 87429093),List(68635407, 14379445),List(63073184, 99025839),List(54834373, 7276559),List(90808833, 72058390),List(4718106, 59212917),List(22900135, 98180822),List(80058101, 11137307),List(35186316, 11943004),List(44850514, 12458844),List(83215275, 89245429),List(92363774, 66658818),List(97673364, 31499921),List(16067182, 39250913),List(98642299, 5777659),List(66660637, 60968932),List(54544024, 49820908),List(87541827, 10991054),List(66635649, 27241726),List(51786390, 42047981),List(50075276, 80285539),List(45239737, 53214081),List(60054654, 71838507),List(87997867, 69334127),List(62398239, 16570814),List(16857458, 71724255),List(58422315, 54848286),List(275030, 42316997),List(73528214, 62205833),List(44635876, 1504111),List(44119038, 16992924),List(5817212, 37714655),List(7784953, 55448099),List(25183164, 35190569),List(77604720, 78841614),List(66499426, 47038373),List(25033369, 52154405),List(1440073, 68448556),List(69127139, 4755050),List(88481831, 33095413),List(58175709, 11399136),List(32108591, 50899387),List(40672466, 22896685),List(14010370, 45982143),List(73264935, 69826999),List(14179510, 57682766),List(32511098, 64032996),List(22853228, 42333283),List(48781285, 23127690),List(81656284, 43686664),List(61485941, 29739545),List(98280215, 16537526),List(68441837, 67213309),List(89492868, 8167677),List(60486222, 39371498),List(70092448, 92967857),List(88817318, 63270730),List(86373519, 95318541),List(28696160, 25077473),List(40814587, 88414161),List(24140251, 96944883),List(39442169, 88261249),List(39254037, 92491735),List(12226666, 62551589),List(66078752, 43926542),List(80958877, 30262523),List(61939634, 89422907),List(96804647, 57713605),List(75312805, 66750315),List(43917800, 46989295),List(70391585, 89062176),List(40787842, 48502410),List(38087567, 18049403),List(56300357, 24263885),List(98436361, 12546551),List(60121631, 78991055),List(72756003, 62629279),List(46281391, 18287215),List(28572865, 57774499),List(44325636, 75798267),List(85739519, 849030),List(33644025, 39353949),List(45144695, 69400684),List(97312149, 68080197),List(35969472, 12531626),List(43394509, 71888753),List(13173142, 23834449),List(66068365, 88571743),List(13535453, 51818393),List(67008337, 26592629),List(47079876, 57976721),List(35550697, 58005222),List(47613869, 97220964),List(13893191, 18516200),List(3843245, 20669499),List(75903256, 14871788),List(48331363, 40653065),List(43990439, 29843915),List(4228281, 16133564),List(95347379, 9382212),List(69148104, 35059148),List(55029978, 57519730),List(43966028, 65820722),List(79759183, 29317701),List(29748677, 93251563),List(78793568, 77608716),List(78414689, 94551544),List(8562745, 37793982),List(75293827, 52350745),List(18003653, 34610348),List(57960338, 18926451),List(37476749, 54995025),List(49246764, 36146188),List(35664291, 42825541),List(75932544, 48899175),List(25222271, 88124036),List(21872620, 5840162),List(6117749, 81513933),List(17505026, 91249356),List(64631985, 86748281),List(64504222, 39911335),List(57274413, 27569202),List(98889599, 46081715),List(93320428, 89896592),List(41619777, 50831339),List(8222495, 86893923),List(55169666, 86699974),List(89676741, 5286232),List(52771214, 87416982),List(43032210, 75330712),List(7357995, 65182025),List(19639060, 24572223),List(71322864, 92106217),List(91899626, 16021660),List(79307869, 45557413),List(78945798, 92781269),List(27903638, 59488377),List(68884691, 25743458),List(95974491, 76347043),List(77235428, 90565698),List(77464580, 47540531),List(45341845, 64868029),List(2147310, 81037410),List(87217175, 19855775),List(72849167, 64997442),List(74366560, 49940464),List(70324243, 69026275),List(46602510, 87209738),List(32766473, 19259560),List(44733064, 78494526),List(32791532, 71274814),List(26693801, 82810968),List(41730433, 57245826),List(6721018, 15865778),List(94990012, 68692544),List(32442835, 56851846),List(76706721, 64120570),List(62861854, 74439962),List(85836996, 52701997),List(84428345, 81131284),List(19752381, 68706792),List(92990686, 44366273),List(95735272, 84035791),List(14346396, 85403535),List(3105946, 61357429),List(97002860, 69622629),List(58150840, 65840385),List(74977999, 28338940),List(77480635, 58052789),List(21845787, 73480950),List(49124199, 79519850),List(27303961, 97304676),List(10504875, 56791700),List(31268747, 24407399),List(68984888, 75912058),List(67709334, 72536516),List(23151248, 93552549),List(381652, 81141125),List(95334092, 28405674),List(9833782, 22970081),List(86587098, 76111195),List(13022974, 20073819),List(23521464, 72325462),List(2243758, 71990896),List(80974545, 16605630),List(88109727, 17727734),List(49678785, 1769154),List(62680632, 79865500),List(28550132, 36339511),List(77763338, 90090755),List(17186939, 72222888),List(68607515, 60052392),List(40242490, 95620510),List(79249060, 92036899),List(7635587, 31778125),List(15252244, 71095416),List(42229824, 55863415),List(39553048, 73432994),List(795582, 66840034),List(9334366, 94379879),List(36542479, 78646581),List(26844223, 46793074),List(49952177, 79779820),List(92593968, 93215342),List(94392853, 88945853),List(33840795, 32337045),List(90661084, 39719039),List(79686032, 45091779),List(50298646, 94969240),List(67247601, 1902231),List(93771709, 39764526),List(9224191, 87875589),List(29559520, 46672951),List(823921, 29828294),List(22170212, 83981317),List(19294028, 45765052),List(54458256, 81280716),List(82453014, 42709801),List(76739687, 2367572),List(47226592, 29834056),List(14664532, 66679993),List(92512347, 80896531),List(52923419, 67530525),List(25583320, 76399445),List(48412425, 97666425),List(68775821, 71053496),List(98133327, 29463317),List(93454435, 97069050),List(61231100, 68083109),List(11745487, 52077380),List(60467315, 97246100),List(85167040, 41597058),List(7762487, 48866059),List(96310087, 23632117),List(30141227, 71478139),List(1343590, 88711326),List(18306817, 70643494),List(49555753, 3223418),List(85507178, 24311446),List(7395970, 4244022),List(67840734, 69431800),List(78113575, 19529372),List(42092109, 53432886),List(15027856, 35998582),List(20634955, 90295441),List(23257867, 67595378),List(29763055, 96808108),List(46288535, 71837423),List(60687492, 92834553),List(62068131, 31503188),List(72006904, 32907662),List(44923234, 28197264),List(68996443, 18743370),List(44633010, 49375792),List(73331706, 89934264),List(63436729, 5859259),List(94696459, 67595900),List(92017110, 16127322),List(26117279, 77623168),List(61077262, 30124061),List(47482328, 27667310),List(66001497, 65659052),List(44691400, 68808528),List(71500663, 69427126),List(80430532, 26794393),List(70776319, 35393095),List(53490618, 91302090),List(53578533, 59758171),List(77227861, 19361877),List(57259837, 70523893),List(21905849, 90502585),List(52002948, 63758010),List(3302154, 34578315),List(82686802, 96119673),List(96118358, 4176931),List(61557990, 55463012),List(15203860, 13726363),List(75327041, 96345990),List(41530151, 35675099),List(84415877, 67713231),List(96897540, 52315709),List(26244301, 87211282),List(50905934, 38323545),List(6792076, 96544986),List(3383774, 79682839),List(65046126, 60971327),List(65370545, 12630954),List(18876977, 32190967),List(44844982, 54725164),List(80812710, 34290165),List(38468925, 32176592),List(11182857, 58525205),List(61628303, 89576072),List(90278058, 5302662),List(82409512, 49816542),List(89667696, 84322901),List(2554833, 35523942),List(38800552, 55771349),List(87741618, 6213182),List(25464527, 18777062),List(53250096, 58772701),List(65889274, 30146190),List(37115849, 49179358),List(58935409, 90139649),List(93016856, 55429790),List(40533779, 25925964),List(6447946, 81367857),List(2437772, 66918884),List(95699961, 90267466),List(58108692, 27828500),List(62334580, 43036946),List(9372773, 71568436),List(16777531, 53266577),List(79253969, 815877),List(72580013, 55131570),List(8831681, 30591965),List(63918889, 83168865),List(59458911, 61600491),List(12831933, 12693905),List(44274878, 71832335),List(17182196, 70303870),List(52371406, 41093550),List(33207214, 93988835),List(87479144, 64772285),List(72072790, 94513504),List(76055167, 67225160),List(27183158, 78337554),List(55199636, 49107821),List(39172086, 15704552),List(22898441, 65320346),List(47600176, 32928538),List(18034800, 66156083),List(24444224, 29689149),List(8112862, 99776529),List(5018716, 13279922),List(27386169, 69029788),List(55314384, 28363436),List(7538794, 33148674),List(56094863, 94802671),List(69466084, 1136290),List(15868468, 23015108),List(96379164, 9322968),List(14867271, 17278418),List(61317686, 62328811),List(27834085, 53269871),List(52527547, 72435283),List(69102456, 66896821),List(33110648, 37404606),List(41965461, 14147524),List(36439586, 98345823),List(58438059, 88197650),List(23607887, 68421392),List(91254381, 14352846),List(26680918, 4344534),List(93239137, 53887732),List(28268470, 82081854),List(42782527, 95247122),List(97392741, 54662145),List(78575438, 94198781),List(64363954, 90297265),List(94950191, 19998069),List(98018961, 62606616),List(12143316, 6250579),List(22733806, 6649570),List(96880331, 55262107),List(99378643, 59405756),List(31782257, 27707927),List(16080239, 16968341),List(61514271, 37427540),List(70380162, 58171606),List(9534029, 90981567),List(24990389, 80436807),List(58483942, 60525635),List(60797, 78207299),List(24955925, 11437155),List(22708489, 70756664),List(33519663, 97937958),List(26649404, 91432550),List(8300935, 79897756),List(33317633, 42719806),List(11568357, 34769392),List(19477396, 12524561),List(39129145, 66967663),List(77379662, 25099855),List(36893261, 21004265),List(41261671, 85873870),List(25603191, 93674586),List(62907672, 52599643),List(48007149, 43118934),List(6631065, 32467388),List(2874372, 44200065),List(26081627, 98626638),List(61790582, 35665331),List(4504330, 55557879),List(34608391, 43565122),List(73439142, 23572425),List(90382288, 37374399),List(29706267, 693470),List(80217694, 45495128),List(1072245, 4553788),List(99923267, 11255718),List(35268060, 8447230),List(40931361, 49860239),List(51264622, 21083859),List(43795981, 7675403),List(29022327, 93338889),List(39527438, 65478417),List(59398423, 49185919),List(246742, 94643056),List(98442601, 73451251),List(32335640, 27962394),List(58776517, 82231482),List(7324636, 69889776),List(31582853, 80868814),List(11687792, 92726575),List(49901068, 8912402),List(18803497, 53002640),List(96199409, 61211872),List(61171419, 80219845),List(74246908, 55923109),List(44550679, 23965368),List(81777983, 37086060),List(84042812, 36921787),List(31384806, 57108009),List(5109517, 93409061),List(17032006, 37345045),List(43393110, 1627278),List(85025278, 33351167),List(56852467, 44366020),List(28166168, 66653839),List(19536085, 73741253),List(2457385, 66527575),List(67133799, 36544541),List(43528089, 23678098),List(55698453, 21523282),List(60829600, 65694237),List(81771473, 70053696),List(21303260, 58638242),List(97402126, 59019447),List(72355194, 27861204),List(19145873, 95841110),List(72753883, 20041612),List(64493983, 4323885),List(22683168, 35144225),List(21388202, 38670901),List(86229429, 20030197),List(36900807, 77646535),List(13128745, 31191427),List(64232589, 31006422),List(48111937, 48467454),List(41335847, 16961577),List(89321421, 73784600),List(94044739, 85274352),List(87589133, 52311780),List(64290937, 73912743),List(43597818, 99264987),List(34069688, 30113058),List(20935165, 75947196),List(71047219, 92455472),List(22134393, 13341577),List(54444718, 23021912),List(19816680, 13961874),List(28961776, 63311053),List(86678267, 44498404),List(78962114, 82754721),List(13439664, 87972060),List(79581419, 14194431),List(82272108, 84187882),List(3138333, 79269869),List(30834285, 2898497),List(23825413, 37848466),List(46536340, 73990392),List(93536557, 87213142),List(54684217, 91634351),List(2248212, 21662143),List(72831483, 36481066),List(55450632, 17262287),List(21031936, 19097343),List(6583499, 60452417),List(9399174, 81588766),List(69076896, 72499065),List(6718057, 8774463),List(7436539, 29785328),List(83297533, 40291110),List(45341910, 84874525),List(57469290, 26191889),List(38304730, 74916304),List(84858047, 96420658),List(1127404, 64186073),List(28084231, 18296724),List(15843634, 29013975),List(76371314, 51445461),List(204421, 24187225),List(99919636, 55284178),List(31454265, 91278238),List(9780348, 62922811),List(14790898, 90918461),List(11744450, 11554469),List(58847081, 89192731),List(89429241, 46439073),List(45562180, 89882814),List(97248654, 66803184),List(69926892, 13112681),List(5948104, 42667959),List(75134677, 4776198),List(25653274, 60393076),List(62517428, 62479462),List(56842687, 79274429),List(66545615, 85379460),List(42043618, 62846291),List(78087963, 34338137),List(97187958, 60962644),List(83923386, 10923486),List(38570436, 71773038),List(80541905, 71427287),List(33113094, 73924781),List(40085435, 23617833),List(18413028, 65418341),List(14592218, 88612987),List(34456447, 69991004),List(46368177, 69410658),List(35287288, 77408545),List(26192733, 3018199),List(83089433, 22053743),List(49305392, 11184259),List(4801333, 54487366),List(35754540, 32170980),List(85007292, 42006662),List(98255014, 90648751),List(86397236, 55289585),List(92819168, 6306314),List(8391077, 30407129),List(99662597, 55653125),List(92811733, 94080554),List(74431745, 99101702),List(67610308, 89319583),List(79347355, 90625036),List(81976987, 99854689),List(39912428, 8834859),List(57250971, 90099813),List(22143508, 2212079),List(81779672, 37038341),List(20713041, 46475780),List(65287945, 92190745),List(46845716, 72951480),List(37456175, 6646002),List(1472199, 25807748),List(24050599, 51653260),List(5015871, 69058889),List(37683378, 21744080),List(85578486, 69255470),List(48036379, 21626810),List(71273486, 14191821),List(37608170, 23504400),List(72208350, 15288599),List(2598114, 68036930),List(43211471, 91948673),List(65114193, 25715645),List(94678616, 42154019),List(51599588, 23027886),List(57770610, 36828391),List(21891300, 82257344),List(79869388, 78656804),List(84217172, 84612699),List(91058969, 24607664),List(6503612, 98880074),List(45925550, 2106354),List(61950115, 27220350),List(7151011, 17824670),List(18574172, 15793740),List(26458138, 6308985),List(40492129, 79656365),List(30066957, 81795773),List(28921988, 88590693),List(62958775, 59508062),List(29894250, 46732305),List(45300397, 87325366),List(13496722, 26011767),List(97425966, 70674107),List(60577704, 42311468),List(30177058, 98351631),List(4153802, 51738559),List(62509880, 46921413),List(2859991, 38111436),List(40773855, 58953911),List(67645578, 62345532),List(4430177, 20613625),List(61939932, 33127106),List(8707014, 19471236),List(23410227, 60768956),List(40014529, 37509261),List(17676795, 1940631),List(16829192, 26804695),List(83207117, 39943684),List(19510831, 23294964),List(91956911, 18392988),List(43015283, 67831187),List(75051962, 8079362),List(26109018, 79022944),List(74278926, 37055393),List(64931563, 44518775),List(87921563, 22087496),List(12905187, 57267851),List(38952199, 6705739),List(33437575, 58526277),List(56913177, 52870728),List(82639590, 11589973),List(1065933, 79266617),List(29520916, 73818489),List(76182194, 91891652),List(38036288, 54460230),List(21280336, 84064564),List(53612897, 13510053),List(94586842, 55300054),List(39072388, 73383565),List(31977652, 70338562),List(17052017, 71490165),List(67503318, 22180329),List(40664121, 83703819),List(99442645, 83496329),List(44479423, 69444512),List(51836876, 77988588),List(45004681, 64155910),List(90829967, 54950221),List(88177627, 68171885),List(19064339, 65328979),List(61533025, 43686154),List(60124990, 2278091),List(63982965, 41649105),List(86619021, 47134234),List(42457167, 67435509),List(53888697, 40615091),List(71844284, 51004812),List(80059593, 97407817),List(13982938, 3672492),List(59636024, 14927833),List(39689425, 48144794),List(22576918, 1643448),List(79103430, 6578850),List(51544636, 54055614),List(99060238, 96095616),List(32321040, 14452861),List(59318721, 6448853),List(28178941, 8559950),List(59132780, 18020797),List(11818731, 56268874),List(33917473, 21926492),List(17918742, 42507337),List(59713259, 57989279),List(64136370, 41439864),List(44410065, 87461892),List(52110735, 40852413),List(70951090, 78478863),List(54476668, 75538134),List(84603132, 17021210),List(63611614, 47631702),List(75867754, 36325696),List(9469464, 76082072),List(24026428, 19702414),List(91369663, 16420935),List(58831106, 12480680),List(5088727, 34195471),List(63264771, 23268766),List(98669609, 94836322),List(77814468, 71960543),List(9389389, 83045942),List(9520039, 87457518),List(19994802, 30538649),List(76852119, 97346788),List(37744962, 62793445),List(62172294, 3747174),List(90345993, 5783322),List(7185374, 38518114),List(40215105, 29796911),List(16837292, 76943934),List(2480397, 49496952),List(47726218, 99665023),List(78624967, 22308799),List(67965128, 55537580),List(82309100, 84544648),List(75719811, 28543522),List(75801305, 66359857),List(63972570, 95418219),List(14011718, 86866320),List(75183787, 47426140),List(73352864, 43982965),List(29972988, 43852149),List(58563165, 31179255),List(70472100, 7862033),List(64192558, 11819537),List(12364753, 94677022),List(1693957, 91046048),List(8218520, 14171552),List(46540291, 97576924),List(95351673, 78372102),List(96522988, 46815244),List(69052319, 22772127),List(41524951, 86149194),List(96206239, 30210603),List(39951626, 98134820),List(5096099, 41374965),List(95305657, 64494941),List(5398685, 49310331),List(45230323, 78078159),List(53507752, 86267935),List(51546953, 23473799),List(43816392, 21800748),List(67701848, 3127544),List(86712044, 29470425),List(3944051, 58928867),List(50431606, 95227061),List(47479188, 1017282),List(71209193, 60569049),List(1090475, 63423669),List(59537231, 70742428),List(937408, 39314245),List(36539878, 58918032),List(30288044, 46997481),List(33186628, 53310918),List(64702884, 56649732),List(41884953, 36156218),List(29213587, 70518922),List(98140283, 30038993),List(33249500, 10405077),List(73267058, 44673403),List(90990065, 43767500),List(13475425, 34381830),List(4642579, 64087184),List(48489010, 26179313),List(87670151, 62047586),List(71849422, 74619375),List(26394634, 94227880),List(13485658, 53975914),List(10186683, 4401426),List(79483409, 20942382),List(98375699, 68191229),List(97719807, 54109621),List(42521192, 9979646),List(9758380, 60574879),List(32854733, 71333047),List(24093061, 26597204),List(58075334, 75999067),List(41217435, 62948801),List(98083321, 30300065),List(23664208, 78449354),List(84969110, 59128622),List(58287441, 83049375),List(46701784, 1219288),List(97241858, 78887986),List(63534520, 8335975),List(12202364, 89375423),List(91829273, 37859103),List(96849369, 68093654),List(44249116, 47025886),List(56464779, 58009210),List(15603188, 80739535),List(67207775, 16273217),List(76331177, 62801832),List(15279824, 4792463),List(28788984, 72173068),List(21785336, 25617458),List(1274298, 71939622),List(50906895, 96978641),List(42400892, 27744358),List(54161897, 12869217),List(93153578, 4594086),List(91101738, 43687392),List(42371066, 5813557),List(91028909, 72925494),List(48386521, 17949352),List(88845637, 87044501),List(81854444, 44399639),List(44318803, 48283627),List(20888155, 46935856),List(23351860, 87573082),List(99588670, 89087655),List(35876905, 20270124),List(32353699, 285823),List(47480406, 692670),List(92002585, 81396839),List(15096176, 37560903),List(475492, 70573466),List(25705967, 61918196),List(47589995, 6229613),List(17718316, 87143206),List(49734752, 95450879),List(24771451, 95169157),List(22482856, 84072673),List(63569350, 26253560),List(65486785, 8000127),List(23452731, 99376942),List(42123461, 9319067),List(61485378, 62840534),List(1233982, 37773578),List(4528207, 95892182),List(27238267, 864862),List(54224340, 64490066),List(25540180, 97000747),List(76414231, 82481397),List(14341040, 98016205),List(37340754, 33739990),List(20974578, 47641925),List(46417967, 6826776),List(75637523, 83482159),List(8682893, 19887992),List(51931033, 66949635),List(44202554, 97237861),List(13041901, 69403191),List(11884643, 67224604),List(52476693, 69390728),List(82669889, 26768601),List(30604527, 57807541),List(63144571, 27004194),List(36970007, 43844007),List(45161419, 58073447),List(78711821, 74318126),List(74021929, 9968674),List(46691058, 27221955),List(20547337, 35192227),List(48610832, 62515256),List(46466802, 84645460),List(58487209, 1129712),List(69165593, 72124045),List(73010968, 63654613),List(33109634, 18214691),List(42774272, 45295652),List(85185444, 84322538),List(74259659, 30496769),List(21099920, 81053546),List(76945626, 99902756),List(39185537, 46429600),List(10806314, 46665600),List(13021060, 90583520),List(99749765, 21165126),List(84845286, 8019500),List(55812078, 87412064),List(54348623, 50358666),List(78760295, 88001849),List(57830123, 85164051),List(41213536, 22235063),List(45884672, 89680874),List(54878880, 20119441),List(48353932, 56896538),List(46000668, 27926447),List(33306336, 80751878),List(3401172, 63893184),List(61547720, 37611250),List(48498881, 92056292),List(97976393, 61556013),List(35962343, 38684918),List(92713488, 63100979),List(38185421, 79871042),List(22086527, 46603842),List(80593670, 77963864),List(52909295, 19468170),List(10249870, 58937503),List(37019244, 22144800),List(57895753, 68267811),List(85700718, 32183419),List(43057614, 39511867),List(87206470, 91403534),List(58734316, 72589584),List(67503156, 94937312),List(57746694, 85982824),List(43703920, 91158168),List(49299799, 22472469),List(91651694, 6956276),List(59872703, 90473679),List(64997441, 40634237),List(10924570, 40263735),List(61043420, 50437252),List(45766837, 17469173),List(24958368, 18068371),List(14755894, 25368374),List(8521518, 8159141),List(14821063, 54104638),List(59720025, 19284289),List(99560555, 20581026),List(36001117, 39062748),List(62019679, 68632872),List(13527311, 7612779),List(88856422, 4261490),List(76600994, 8735629),List(27031692, 79080425),List(98207179, 78810533),List(46008148, 24389674),List(28169277, 56980337),List(11091905, 14664967),List(43463435, 27812030),List(13558982, 58131876),List(73561148, 27784737),List(79784947, 12514365),List(18552772, 25577336),List(68309328, 7621869),List(94306153, 44963222),List(12327053, 8670895),List(90317381, 73276836),List(7902744, 3277670),List(24442818, 90521294),List(10004742, 91195506),List(50646711, 90780393),List(43720125, 68378606),List(47407132, 62592534),List(54897007, 62601851),List(72953666, 18104840),List(51369380, 35107577),List(67013948, 40617572),List(45217087, 41513222),List(80870864, 41613392),List(35835261, 67747671),List(62623485, 43126415),List(26209370, 6379559),List(48323625, 38517369),List(58926305, 27904628),List(45070546, 68722764),List(51595677, 68478596),List(16074059, 28375325),List(29785537, 90661306),List(88127831, 48829372),List(11796430, 88782192),List(58312411, 76307037),List(80221882, 257060),List(48122829, 78624729),List(34976756, 21284178),List(32520683, 39153312),List(77832123, 58317635),List(70056276, 83044318),List(72555593, 54596626),List(69621144, 24131994),List(10188777, 23745538),List(14791536, 49976844),List(57027066, 82582704),List(78308081, 51593198),List(59586206, 38924950),List(46226019, 34296854),List(20566805, 22014686),List(12617044, 92577615),List(63925660, 88892394),List(99201757, 90262731),List(10806769, 79246786),List(4544983, 54045856),List(68780902, 36965799),List(57047335, 37779883),List(97581152, 8034132),List(34137385, 5050158),List(32884627, 72519466),List(90268719, 29999432),List(51524669, 87496051),List(46868626, 30048798),List(93235398, 41718532),List(67680693, 90122150),List(98995504, 92393415),List(71073896, 44866759),List(26559547, 11545186),List(21147418, 19619693),List(92833468, 85298076),List(32447907, 79806408),List(99617602, 62011970),List(4685533, 95229002),List(15901924, 88078207),List(89391058, 54765068),List(72646652, 12510640),List(91819561, 3054115),List(95295275, 17552773),List(26685548, 55942815),List(56142963, 81119790),List(96841687, 74526079),List(60554741, 18752740),List(68612091, 96604632),List(84000680, 40481569),List(93199382, 59513860),List(12557071, 28378003),List(21688896, 71730500),List(31398501, 75298281),List(32961121, 14366291),List(77281366, 45167349),List(94315922, 19246401),List(62099605, 92422391),List(54921397, 68720110),List(94493696, 33681353),List(97940499, 66952191),List(12148417, 91027551),List(41259569, 72927468),List(19587319, 8393622),List(15310852, 94482818),List(65283806, 84828192),List(59537875, 66501324),List(24930531, 26314172),List(87259383, 20197333),List(56875934, 60902626),List(99449978, 18278632),List(59047468, 94186995),List(66331140, 73675877),List(53403952, 69925208),List(78665960, 25724914),List(90283750, 92920552),List(98407609, 92419585),List(23995874, 95142877),List(69994969, 4353154),List(50107664, 30924574),List(70778771, 96970949),List(32523963, 86276827),List(63141186, 57458066),List(78344563, 19278386),List(47423331, 7836136),List(69830313, 48831301),List(82358071, 50236056),List(58821255, 55348261),List(76125077, 70027764),List(84593598, 18704339),List(17457055, 82221339),List(35348437, 52293459),List(78355978, 22779856),List(43014937, 28429362),List(87976641, 65504434),List(66837397, 43267103),List(5683656, 5663836),List(147252, 73296074),List(69627145, 46103896),List(31153879, 54618382),List(87265503, 9967660),List(2540908, 99106465),List(25370649, 33813526),List(23059196, 50182242),List(61735897, 20110104),List(93585873, 13962316),List(94004893, 76609057),List(69074645, 62147968),List(45445379, 55187999),List(14040218, 72939416),List(27392757, 46964247),List(90832634, 78741762),List(65827892, 46479600),List(15069417, 71582265),List(16791081, 83738934),List(37847505, 3439343),List(52700878, 78412260),List(18796586, 2843715),List(73879956, 63555595),List(37578498, 96521538),List(8809830, 99028168),List(10646120, 33256799),List(75482492, 37430918),List(68311961, 16559115),List(17629010, 2896921),List(28990273, 81516151),List(50883075, 40194670),List(90852265, 87484542),List(51056250, 17829930),List(11740216, 87457213),List(48563136, 40525061),List(24043185, 36496547),List(38096546, 7954445),List(68373003, 57604861),List(54240301, 43107647),List(61112137, 64018862),List(85305920, 84504343),List(88605930, 32233644),List(52385532, 96231262),List(19060784, 22009489),List(45357224, 66033617),List(8493240, 27262254),List(87373289, 33676651),List(37479004, 29127527),List(49540776, 26809677),List(51948293, 82876836),List(80116560, 21467343),List(4661368, 80956708),List(33376160, 85993344),List(14849848, 73767994),List(77488528, 27782202),List(85999060, 69256576),List(16011492, 26218005),List(77043132, 47556785),List(16634379, 74053810),List(33558478, 93224960),List(97777016, 49438296),List(93475625, 84457643),List(38071142, 17825730),List(48158809, 84980971),List(53750021, 82164055),List(49329502, 21804365),List(33303444, 25744762),List(50317377, 50331847),List(67510596, 53839783),List(42914697, 44688439),List(11175449, 16490077),List(73510491, 73228739),List(11975029, 51110447),List(73267224, 34192460),List(31903939, 72833104),List(22418891, 1830067),List(80327097, 89966358),List(45581822, 647966),List(54017988, 18340370),List(65305000, 2396665),List(3182753, 440561),List(87911391, 5824977),List(73645386, 74309572),List(95697613, 71121187),List(87838392, 17307900),List(72966862, 16148226),List(69813428, 69602264),List(4171961, 36563792),List(7519453, 96412785),List(56291082, 17099934),List(4547601, 43893157),List(18317675, 49592659),List(49367580, 59137880),List(45960363, 26656039),List(2839300, 87757296),List(96904796, 32159936),List(21140855, 49838971),List(67800263, 95436577),List(74024231, 10635604),List(8828755, 14199325),List(9511627, 84262691),List(62799865, 19946601),List(71105294, 85804101),List(89564161, 21692408),List(64441631, 49123461),List(14224666, 96688073),List(99913295, 20124144),List(16028846, 69799555),List(19156869, 12883753),List(85574025, 63706041),List(77985336, 60695733),List(54618632, 58532741),List(68817571, 16247412),List(81442469, 81332269),List(91376608, 80587370),List(99164389, 28431556),List(18498063, 47934589),List(5072995, 40597862),List(86677966, 74274975),List(81694826, 89990638),List(14775873, 23313429),List(90519802, 56608921),List(41268828, 45264237),List(67221436, 42255734),List(89132757, 79013055),List(3434715, 83233105),List(74461861, 63819017),List(26871170, 5547741),List(4806231, 36845168),List(97865663, 8680925),List(73371827, 78530922),List(7297335, 67276135),List(15946032, 56354869),List(86514927, 44539603),List(68989929, 56406026),List(96096179, 16907238),List(90588184, 38983595),List(54041771, 12802239),List(89738075, 48621857),List(74352797, 63139236),List(90855729, 35185099),List(40972353, 28737683),List(78959009, 15905627),List(81070094, 95670311),List(21961146, 35251318),List(34103339, 28783081),List(95712275, 82279575),List(52922040, 79991891),List(46596343, 91585157),List(59367099, 55238165),List(96395153, 30083397),List(29493337, 67779913),List(31844621, 30883353),List(84167189, 87587135),List(6698700, 49824095),List(58405531, 74738500),List(64575430, 70437460),List(61742847, 77569942),List(63987122, 78818565),List(16622417, 15254075),List(99996278, 28210447),List(89929248, 20525503),List(63235555, 52427397),List(84651710, 74425495),List(59022605, 73258702),List(59443965, 47981277),List(67256407, 82907637),List(26105194, 22210329),List(48612192, 75849253),List(83047792, 9376612),List(43548120, 46826212),List(20538966, 8426245),List(60869217, 52836031),List(50133695, 92922036),List(11728216, 52717840),List(35795462, 15880086),List(2872092, 48902775),List(56946302, 4823555),List(56809651, 35309043),List(22658442, 81061199),List(92025640, 16675576),List(69821637, 57991043),List(44382026, 7722688),List(22960477, 7014586),List(74926409, 40055628),List(92466481, 42836094),List(80533222, 51396218),List(32281500, 45101260),List(13710569, 60950848),List(55107680, 65144509),List(36128412, 11360728),List(33518364, 6595739),List(63952110, 82096073),List(51087814, 54640317),List(86926707, 50982532),List(10534642, 48735386),List(91189087, 52914621),List(65176464, 95892352),List(17449701, 46005743),List(23601528, 5728751),List(38954337, 50560629),List(49641145, 37280576),List(79280824, 10484033),List(86732978, 49157616),List(23445716, 56390683),List(17584173, 79606688),List(23484639, 20316861),List(14129443, 95452124),List(38529328, 46330803),List(22929589, 18109887),List(71284967, 29551653),List(13264058, 85863240),List(78488594, 40394055),List(40782546, 38583137),List(89025090, 30859522),List(21496345, 8817054),List(67101706, 87849125),List(13338136, 9945517),List(14827342, 94290670),List(16514849, 47152224),List(10878477, 17344928),List(31876770, 49097358),List(76126469, 44339196),List(32976064, 35260357),List(15249456, 85648380),List(76748233, 25003294),List(88074213, 94861699),List(32658034, 40326992),List(36662157, 64716292),List(59799075, 2638399),List(85354005, 63205173),List(81465663, 21069879),List(108516, 44978153),List(20383662, 10705490),List(27412359, 55919334),List(98290929, 14343805),List(26118662, 61491446),List(5147731, 57097964),List(6615792, 74900460),List(70688630, 25482078),List(15896545, 54247369),List(5030435, 83363147),List(36686800, 8912998),List(55179509, 39772874),List(31579927, 57962735),List(47375135, 94016992),List(42923448, 41061582),List(53077847, 81105071),List(56237665, 93755018),List(50691812, 93939191),List(1338611, 4653433),List(92163950, 57224642),List(83199964, 65304980),List(93512944, 46150199),List(51241772, 97832802),List(18968506, 46901971),List(94350009, 36745221),List(18153907, 57731321),List(73885781, 68544118),List(4022281, 73623459),List(8760040, 16293549),List(92962757, 3511035),List(71828116, 9506789),List(85882464, 60048693),List(65371999, 20304898),List(19565976, 95524259),List(90278410, 23873914),List(76354406, 38959285),List(44388342, 8653251),List(2702733, 28906502),List(51481489, 75106919),List(71758272, 71938081),List(45288473, 5117206),List(67238532, 53816546),List(91087828, 11866660),List(44598494, 29946420),List(72009931, 75535956),List(93660961, 37815779),List(63172721, 18419185),List(64870613, 42658780),List(1446643, 15669481),List(4368102, 74083415),List(59945674, 30209360),List(47415980, 32023015),List(64846975, 58320262),List(69865319, 48291083),List(75306623, 6175401),List(21208016, 36924047),List(75906804, 30424973),List(84210842, 22663405),List(18232147, 85586502),List(24132980, 8873051),List(10950916, 22651161),List(72861601, 41119353),List(56767458, 17649801),List(62279502, 23484523),List(35335181, 74774037),List(24351173, 52693175),List(2981399, 59720516),List(72016421, 10922792),List(37158040, 18627611),List(1637858, 58472581),List(70849021, 79988232),List(14136567, 56624304),List(65543980, 95580451),List(30328153, 17070839),List(59425815, 34733760),List(56968244, 68226),List(82047890, 56046328),List(3283507, 71685116),List(83227245, 61292399),List(93078737, 57122061),List(40597883, 71575074),List(38834675, 54971232),List(90566037, 98544397),List(98794941, 10406930),List(68725858, 44963021),List(20742434, 92256075),List(21528294, 59730509),List(48442019, 9912844),List(64098195, 37028880),List(42813114, 72869385),List(86018019, 21109214),List(49729660, 50620627),List(30269095, 13175687),List(32705884, 59495484),List(2320545, 18412712),List(38892929, 50366061),List(27626863, 8926389),List(45209668, 22304154),List(40882870, 30392588),List(66472907, 48913713),List(59038644, 62826047),List(54933754, 37855258),List(53166422, 66488448),List(88295281, 72152231),List(27045449, 70196019),List(66420352, 80949444),List(29221552, 10580853),List(61933322, 5090247),List(94413377, 10421252),List(60685682, 70280534),List(1481992, 38462052),List(67150756, 6383232),List(34438614, 82904548),List(75623234, 46474283),List(70690276, 17003059),List(9466052, 17778071),List(34127017, 10412675),List(65862841, 81071871),List(49480414, 95402865),List(3764479, 95957370),List(85006922, 15237728),List(92098726, 6084804),List(34440548, 37636932),List(81208240, 75294553),List(74955558, 72852033),List(34313124, 55592532),List(65895908, 13984454),List(40806480, 6437271),List(62940092, 67563970),List(6585276, 33008250),List(52202585, 96851090),List(94979110, 19090879),List(64545127, 38779313),List(77837725, 76290200),List(82461930, 42052868),List(13613508, 97960223),List(48696147, 77180802),List(81341084, 60167391),List(29526461, 52301451),List(84119960, 5760020),List(4061859, 99723568),List(74522184, 71353395),List(57883498, 57035527),List(62636924, 6937665),List(42021549, 50567914),List(97959898, 54861420),List(92641378, 47555919),List(53020635, 15880572),List(59860209, 11471593),List(64231549, 66685692),List(55740801, 5605307),List(13312628, 60409638),List(96224077, 34404383),List(73569176, 10924135),List(84736767, 39126046),List(22697513, 88181999),List(301825, 15436703),List(83516216, 62560289),List(25094443, 58421373),List(22023629, 54205606),List(16355740, 73578280),List(71812979, 22332030),List(87940452, 86249287),List(57811023, 47529891),List(79895191, 83560730),List(35112268, 3284641),List(15700061, 90848440),List(96652116, 16716889),List(30453969, 2115782),List(93377148, 70038175),List(44735563, 9865263),List(23350612, 86307760),List(90268781, 17859353),List(14924359, 77631426),List(35684660, 73325788),List(88364322, 5160238),List(69718003, 69834824),List(55105780, 64083793),List(50270397, 57493952),List(85782020, 30433096),List(22838043, 31292870),List(29248994, 4382337),List(95634467, 39619093),List(98696500, 61240485),List(59231608, 30392686),List(69841663, 43217925),List(45857034, 53848612),List(19129224, 34039886),List(51377794, 34200599),List(62444367, 52060772),List(98736809, 23653759),List(82743084, 18236900),List(86265738, 91737794),List(46724018, 30401663),List(27745190, 55443850),List(37759846, 5215736),List(41139714, 78493604),List(54933856, 15628986),List(2233113, 66923524),List(68470595, 46539493),List(70447888, 67256734),List(94470252, 66296663),List(94415454, 11920231),List(70722062, 49300069),List(67197202, 86983788),List(33302303, 27466711),List(34329712, 39451013),List(12644044, 41493163),List(17568103, 52512137),List(79354976, 69295855),List(20433805, 79022231),List(3235492, 72521454),List(11801217, 87408843),List(7638668, 53356334),List(71960072, 85776673),List(17501691, 15321727),List(46765734, 70887863),List(11992387, 35886375),List(43556047, 67358788),List(20977654, 29660219),List(46668847, 74057861),List(94316899, 41034044),List(84976361, 64271757),List(41989914, 13287979),List(43301201, 78363435),List(30981698, 2128530),List(94283125, 65756615),List(84113655, 30672863),List(54749980, 75403593),List(93651650, 91138507),List(93017989, 59903480),List(7030122, 33326571),List(14902948, 69873981),List(44314198, 72768844),List(25134393, 46381143),List(42083514, 64516617),List(59318138, 55152831),List(96391651, 88765609),List(13338601, 99602473),List(33487177, 97433654),List(19954148, 7150505),List(79782052, 95655487),List(51957640, 59402888),List(39681417, 10813282),List(71703167, 64116899),List(79889882, 68012852),List(70030747, 97960032),List(92744720, 36896934),List(56905113, 44931851),List(15008443, 99185286),List(82173622, 24456649),List(57939777, 92869023),List(60359412, 39880075),List(6722439, 818973),List(67301590, 41037848),List(23224630, 213968),List(44922104, 77091875),List(63945573, 73380941),List(19280040, 55751233),List(28642532, 9900535),List(74099467, 48116543),List(93798924, 34051706),List(65539883, 96025917),List(88498913, 62984901),List(43537064, 62039749),List(52944632, 60769529),List(39763058, 76878299),List(86913315, 9791065),List(78039688, 1883142),List(8834553, 76453346),List(48855408, 52342303),List(77494316, 93298822),List(3057211, 29128376),List(4601540, 53010423),List(91805898, 44746299),List(18767579, 21265221),List(11185355, 5731775),List(86791397, 35645792),List(82396006, 64154550),List(43687588, 75226962),List(49982660, 66374271),List(83085966, 46389562),List(84634302, 40996366),List(99895721, 49901),List(39913773, 60652941),List(36251101, 12448002),List(97055842, 37660896),List(53188497, 95639655),List(50130310, 90168602),List(94021876, 47049630),List(84151774, 81668579),List(62886096, 71607308),List(17752777, 4258057),List(81769217, 29271118),List(26060445, 36403762),List(26062434, 45721032),List(71281320, 13040974),List(39413481, 91466388),List(11971305, 37941073),List(10364555, 21956260),List(61235057, 51877995),List(2532964, 85763779),List(26357049, 36336327),List(59874800, 81310633),List(57820294, 3346753),List(65955458, 82804202),List(27793974, 87978944),List(92990846, 58597460),List(35804380, 71783333),List(98006055, 42294948),List(82691216, 63769495),List(39271534, 82198526),List(5271964, 22973440),List(10479403, 5147068),List(83128489, 93046476),List(16891214, 49700707),List(57862929, 84344805),List(49153599, 82147660),List(13582264, 46145198),List(27999566, 26785267),List(12789066, 35041746),List(2511761, 61543013),List(72534878, 36404334),List(15256674, 32653083),List(11918025, 44232319),List(3989491, 92585233),List(84520261, 84593179),List(37035208, 42463889),List(24892748, 67602680),List(46899161, 66076383),List(33820167, 11522653),List(87399904, 17993372),List(69502582, 87275626),List(4694065, 9152441),List(49728053, 6488262),List(7047168, 5949144),List(12353029, 75622214),List(50945617, 47240443),List(93150052, 98986577),List(61319948, 66927975),List(8579655, 47465806),List(59129266, 58976218),List(54774552, 66274216),List(85050380, 97618832),List(5549809, 96964257),List(83068171, 8069619),List(76912909, 8623384),List(66695050, 62229637),List(54276453, 26164299),List(95226219, 24033510),List(88488003, 15380313),List(36851267, 98338063),List(20498342, 32103393),List(96230667, 514939),List(93584977, 29368854),List(76410178, 26108614),List(58802472, 69501656),List(547742, 32263828),List(36291637, 47574454),List(195238, 88902368),List(35255814, 39036175),List(45196274, 37722547),List(822262, 13793990),List(59325409, 66820479),List(67776736, 37821304),List(43824629, 22589474),List(90042849, 10336916),List(34044037, 6397095),List(54230745, 35411877),List(21399272, 20415346),List(67076447, 33821769),List(25640621, 64284540),List(99643207, 5639833),List(79741824, 74327902),List(9552126, 90399),List(99382297, 41243439),List(96925672, 46582290),List(1257362, 12665445),List(15283240, 68926983),List(46926046, 71085968),List(47134675, 3212793),List(44344438, 9120838),List(64473509, 48156839),List(59075907, 2664245),List(923262, 59548627),List(67912673, 26987759),List(74825912, 31449189),List(37507854, 35041029),List(41684770, 83122110),List(49085815, 49257746),List(71349248, 99192281),List(13764863, 24463800),List(1986708, 29903546),List(55040872, 12598608),List(23494460, 36607529),List(83517928, 96479182),List(8706711, 57210072),List(73026105, 87216892),List(67571341, 49293210),List(70039156, 48193802),List(9133916, 56368737),List(224478, 35552497),List(57661789, 87411670),List(13159827, 43464642),List(53960425, 15062503),List(24920115, 35220648),List(66396369, 96893972),List(49781906, 61806941),List(89502451, 62294672),List(16966408, 86764510),List(8610176, 78680082),List(54391459, 41835879),List(31097486, 51061120),List(64168850, 50046055),List(40476599, 29883841),List(75768380, 21263830),List(31032149, 22481051),List(3557104, 97630993),List(33087509, 92045089),List(23669801, 61950239),List(82200762, 44934281),List(54786510, 61380742),List(38063848, 82018420),List(89054809, 56087824),List(4582329, 89809448),List(87217733, 82765351),List(72777337, 56242915),List(54189784, 36410669),List(69554387, 27119475),List(49601656, 63276358),List(77395785, 71669865),List(92470786, 8406936),List(33421254, 60156181),List(11494321, 64838886),List(62321918, 69828691),List(33908056, 55683745),List(1310526, 77292090),List(33345037, 80535204),List(58464216, 51223327),List(96895242, 41005089),List(55282920, 99968974),List(11887709, 49160376),List(11794788, 70986331),List(13226784, 25609082),List(28290461, 2829289),List(65662416, 54772455),List(18603733, 80145765),List(24055455, 62398742),List(20638338, 87039710),List(76884905, 54680053),List(44748715, 98164599),List(71324698, 66773021),List(35242694, 4563505),List(5659902, 68596485),List(21264433, 30984029),List(56964086, 6346772),List(44402384, 91253345),List(36466340, 29663840),List(74956970, 30457116),List(15920969, 52764822),List(6973152, 32679089),List(95581343, 21534440),List(85681056, 36181661),List(56997125, 10843138),List(6133661, 11792100),List(78101714, 80278025),List(23554959, 62229803),List(75395995, 84203537),List(805406, 4949156),List(26294328, 51749587),List(76983120, 76108242),List(35312326, 86153668),List(44722166, 11580494),List(27568758, 8523798),List(67367084, 9366603),List(75486167, 64067890),List(50947177, 86644701),List(31515819, 99805912),List(730289, 88388295),List(55393619, 55284986),List(64238456, 16986102),List(19997261, 71659365),List(81476888, 42905378),List(16223462, 99665690),List(17243408, 69942383),List(11662299, 19299253),List(56341243, 88653676),List(73576836, 26179515),List(74332032, 26378794),List(93352004, 71919122),List(92931590, 61054228),List(79949837, 95474778),List(14987943, 13204566),List(99747729, 12944766),List(64572768, 26268232),List(60227807, 73082681),List(39558013, 91475244),List(47574263, 6457654),List(85380186, 40236988),List(64197215, 381739),List(56481015, 88997767),List(23891716, 52403778),List(96234312, 21597129),List(86652321, 75578934),List(43122960, 29975891),List(89234535, 43552960),List(9511483, 90363983),List(36601386, 51287556),List(63141775, 54813150),List(10002061, 8952071),List(20933305, 64744044),List(172362, 95211580),List(36844345, 44568710),List(18548445, 80777520),List(91628493, 31949502),List(9614884, 45963045),List(17796377, 53988836),List(55564697, 23973491),List(68779032, 13383402),List(22371087, 84879739),List(98642635, 5794152),List(87254497, 14346466),List(37865646, 315068),List(70262538, 5522952),List(9335100, 47907283),List(73239765, 9324699),List(1403829, 87968213),List(31265382, 76030457),List(19290333, 31261096),List(7207749, 51347768),List(82739208, 19359501),List(50349917, 51678643),List(80475543, 2708926),List(6250251, 98028144),List(61940094, 79170278),List(17321638, 13400861),List(64851482, 2454806),List(40586015, 1280235),List(81786560, 12954418),List(13101748, 41695621),List(71430268, 81901234),List(40960756, 84122114),List(4973301, 84164912),List(71160921, 30590767),List(6119431, 68565008),List(31132531, 43745911),List(44179755, 99735965),List(99637081, 94476726),List(58432549, 32368382),List(77662944, 20362583),List(53953313, 61690533),List(96191501, 67621052),List(20954750, 12559153),List(23923502, 64064623),List(43220612, 90564378),List(76529510, 78042792),List(33330320, 78217164),List(38073737, 14460642),List(83289158, 84750078),List(67497808, 54667905),List(22160231, 93658389),List(57809636, 31069934),List(26776991, 97546865),List(55447746, 44311363),List(8275804, 50779040),List(73558979, 89411506),List(61512380, 15448412),List(10879118, 89405280),List(53451414, 70447224),List(69301957, 50147631),List(74912593, 50718764),List(24287446, 90399202),List(86822546, 1147347),List(58672281, 48730357),List(49732101, 44095963),List(15375442, 95651166),List(25386602, 27641495),List(2521387, 60097375),List(63758561, 58594149),List(55108058, 26919549),List(87169732, 26711757),List(87377258, 110943),List(90588646, 81556523),List(56771585, 60927071),List(19481546, 3724110),List(89054000, 13644850),List(18319354, 97317321),List(81173064, 76059746),List(35630421, 11732941),List(6151029, 92603423),List(92594188, 66485187),List(24631346, 83312186),List(77240397, 64559702),List(21627572, 43667149),List(34198746, 53671270),List(16169606, 60969108),List(65453613, 66960784),List(78922806, 21959554),List(91266175, 62713081),List(1119247, 74536191),List(71452534, 86363049),List(25473185, 25258129),List(35539264, 34725432),List(50708381, 30228363),List(23910771, 96015728),List(98273378, 98704299),List(60803227, 97563336),List(10274496, 3525175),List(16126941, 10659345),List(38269771, 32520476),List(34567916, 66092281),List(73182105, 43448523),List(75047340, 89153789),List(56288192, 23725213),List(57867119, 5928890),List(78237318, 35220721),List(12663583, 11920064),List(70051975, 90732430),List(39312403, 68215268),List(29313275, 26133530),List(15039261, 20843293),List(28025954, 14537333),List(49747650, 50899179),List(62105736, 17802758),List(76846078, 28748833),List(59804830, 12105333),List(55198801, 72748801),List(94391466, 16350620),List(11792928, 22394278),List(11692269, 38577326),List(53389244, 62584264),List(1047419, 62217277),List(34741340, 28302063),List(19943496, 79876643),List(38239501, 43431991),List(82026933, 23169526),List(44804733, 99246328),List(96053933, 68727549),List(91341624, 4345672),List(30609632, 7699390),List(24409200, 32136514),List(29457332, 23104624),List(68060855, 59280587),List(20153765, 30283286),List(90564066, 40381299),List(60347526, 7979664),List(5409518, 52183149),List(53270779, 85682),List(91975379, 45519779),List(65547406, 47910751),List(88827643, 61375454),List(55827622, 98544644),List(67097183, 98384839),List(71902811, 28155849),List(93182494, 4809899),List(65747902, 18280458),List(26784643, 76857948),List(39018441, 973955),List(97990631, 10683608),List(22642110, 89874990),List(79414758, 7888826),List(51448800, 42522060),List(32715792, 51295405),List(49725403, 57377869),List(30459545, 85151419),List(22528999, 13790204),List(19700207, 49801575),List(7097121, 69678395),List(19970932, 29869139),List(631526, 88753172),List(30158651, 76443826),List(83315791, 38055925),List(31189907, 89842365),List(36707034, 90406679),List(59713787, 62068040),List(36139878, 15054084),List(92231350, 30629507),List(11816444, 69374901),List(84252242, 78683144),List(57511035, 47267534),List(8942559, 24178616),List(171111, 56568915),List(6302631, 95817596),List(75893705, 25938759),List(95892638, 81693812),List(81966216, 39244591),List(76765472, 86068175),List(25284599, 659931),List(54285532, 70438953),List(5598481, 81803699),List(83613647, 93499074),List(71345201, 78913692),List(8514391, 40746774),List(18929976, 88607960),List(38655063, 26980053),List(42330217, 28628770),List(80938002, 2232900),List(12957025, 13226617),List(94844840, 50860243),List(98225884, 55775709),List(49640606, 50306343),List(80281396, 45951714),List(99648599, 24940347),List(68607062, 6755464),List(51098411, 67552086),List(6813940, 49497338),List(97262203, 5318873),List(5258695, 46180101),List(19520097, 63661040),List(79171345, 96327195),List(21707856, 93347350),List(5723428, 77342526),List(56081208, 68406835),List(56581763, 78083924),List(53188262, 98173316),List(61536408, 47905725),List(82883377, 61192125),List(85312981, 44926645),List(20016224, 25660781),List(23327512, 6225599),List(69187385, 44039034),List(94472806, 91443),List(74506522, 22761511),List(9119085, 29689170),List(32959899, 11944293),List(64253175, 64696014),List(44307653, 74278699),List(72495334, 68251451),List(80527157, 49755766),List(38305236, 18985772),List(93273437, 47440212),List(70741745, 18108968),List(26919068, 70833913),List(20881576, 76525519),List(34684046, 37927970),List(95181940, 98830720),List(71676323, 26349733),List(94298161, 13454351),List(55425446, 23060627),List(2698102, 21491839),List(22904787, 35996524),List(75392482, 38892049),List(73889849, 57253853),List(40347226, 44004713),List(278889, 79971053),List(25770824, 4876228),List(58139601, 22055819),List(23189412, 67117580),List(63549144, 90796988),List(50026120, 53915702),List(57108655, 68766577),List(21505239, 62535560),List(42740802, 46547787),List(58572721, 11681929),List(46081642, 25901707),List(81646283, 58788857),List(27041437, 90727736),List(93393913, 20344944),List(85054754, 17915127),List(45857699, 77271720),List(26566447, 90334443),List(32593866, 33813775),List(94333001, 98565849),List(23667800, 10462878),List(9885744, 5470658),List(1454289, 72379946),List(12005535, 72148998),List(86505033, 64331313),List(14148586, 77831883),List(64428570, 15907016),List(6998083, 42994879),List(85861299, 94777795),List(53624809, 54128683),List(19242833, 13289952),List(67923057, 18169346),List(78461094, 11619625),List(44000762, 56978162),List(26125063, 5150930),List(50346957, 67607169),List(9501394, 12513521),List(31973821, 95180064),List(98744201, 61243317),List(46466495, 75597052),List(81311342, 44400188),List(48512392, 42071938),List(76900587, 18156899),List(46146560, 81886015),List(77551733, 70210209),List(98201655, 78636813),List(77768363, 48523146),List(42090187, 61033678),List(79638210, 88147686),List(75267611, 86138646),List(44173549, 24180171),List(47499276, 47481638),List(12522081, 88841694),List(74039925, 52673479),List(61339601, 72047395),List(95435347, 56531829),List(60008513, 49324630),List(77733420, 80754515),List(41978438, 55163381),List(79963373, 96200586),List(54902250, 34721035),List(85715490, 8496665),List(84516984, 26726261),List(42289597, 22948254),List(58876359, 66414877),List(46380337, 18886652),List(53021024, 73271310),List(34321133, 88419925),List(67456221, 13359916),List(6890680, 44524001),List(29921095, 35960308),List(99308792, 39062961),List(94795988, 4470562),List(57219046, 55676222),List(8206009, 25940015),List(88971028, 6400387),List(12330544, 67218780),List(91590640, 39661866),List(29967565, 6131567),List(15037034, 9000825),List(15459939, 97366059),List(64789024, 35510188),List(62859416, 88929370),List(46300410, 24979018),List(50115820, 63316403),List(90235011, 21697898),List(87933824, 12563400),List(33812870, 8907193),List(41513408, 56806424),List(9600898, 49695738),List(5105258, 10613536),List(124478, 97098553),List(15076261, 6112326),List(78706990, 98175927),List(58446707, 19022036),List(88761756, 17739942),List(43583589, 98511754),List(85350318, 67189028),List(28324894, 40276816),List(25085719, 42051248),List(34016430, 5463561),List(71659144, 70511110),List(37978153, 99665122),List(61179321, 54511137),List(83011405, 89807015),List(78381502, 95990096),List(79583370, 23823050),List(67039334, 35721065),List(75206615, 43428456),List(90898523, 98283021),List(20349818, 33053187),List(92119712, 33807275),List(24575615, 8718583),List(10677761, 17199452),List(29318252, 307001),List(88323506, 55508678),List(18064691, 29602185),List(54688437, 81137141),List(29423844, 66470362),List(68596959, 78042837),List(89187355, 94775061),List(99326959, 49614430),List(77676016, 31890729),List(41788263, 26788969),List(63703612, 50362195),List(78495360, 46268231),List(72133634, 82221523),List(21832903, 81366352),List(80645084, 81486162),List(86411900, 71875197),List(89126577, 77848651),List(20037560, 24246377),List(73619378, 6686955),List(50851313, 11544235),List(73522271, 26083333),List(56028340, 17685276),List(53070180, 85706489),List(98054136, 99579006),List(37421658, 60154019),List(65857097, 67252659),List(77328241, 960108),List(5833548, 48986574),List(35198788, 2000666),List(16418924, 84128890),List(48400386, 93094414),List(50035505, 71842288),List(94496938, 57437162),List(41912958, 86939066),List(6913602, 72247465),List(56391673, 68375093),List(99118206, 80529319),List(84092221, 34576723),List(25224096, 91647056),List(7383897, 41672625),List(51731977, 67934132),List(94507400, 41936241),List(94338371, 17993124),List(96470278, 14411329),List(3388431, 86997161),List(12029841, 95665797),List(13552115, 851611),List(58288560, 11736663),List(48044699, 41517531),List(63183503, 689297),List(31127534, 29549743),List(45935701, 40251844),List(66283590, 47622931),List(52703032, 40692785),List(27240483, 45883295),List(73766176, 76340620),List(47164788, 27859031),List(5658201, 19905472),List(62240729, 54018887),List(31750181, 2894922),List(39437325, 50514289),List(36137234, 43045584),List(26152443, 63490528),List(3684156, 21853738),List(73605180, 64589782),List(76391649, 70938682),List(90585570, 3945653),List(37452418, 80208944),List(75770781, 89685854),List(17800627, 93140545),List(46261674, 2692739),List(51865157, 66479818),List(63957662, 27748862),List(39594630, 10377672),List(85441127, 39583289),List(47230128, 74450336),List(46529708, 25356406),List(13049930, 708428),List(73111892, 26009027),List(2393665, 80365046),List(80332088, 55810744),List(20071642, 611976),List(44759097, 29853803),List(20188177, 94883754),List(27964058, 93375082),List(82919390, 84847442),List(7111322, 90423070),List(99082672, 33060824),List(56438701, 12320535),List(10277814, 88902212),List(86050306, 48111842),List(96198005, 72998148),List(23982158, 33874862),List(24425832, 13987413),List(18389193, 71079081),List(92815794, 51567040),List(33441978, 45981076),List(14330545, 15979596),List(29631847, 97876224),List(11720460, 42253589),List(8927127, 61367482),List(54100486, 80132330),List(11726561, 77412596),List(66676127, 81976451),List(57125278, 11736421),List(1731451, 62687311),List(57666574, 96491246),List(1320853, 42631975),List(92977094, 13312515),List(19456148, 56095623),List(37812310, 7221008),List(77604819, 5344207),List(52141850, 79140551),List(4048332, 36776995),List(32044916, 65155426),List(73876106, 39881483),List(61105405, 95179842),List(94311173, 19865507),List(20465947, 33332778),List(3005256, 17527969),List(69086307, 96696090),List(63214225, 74949264),List(16638247, 54595896),List(76593, 25617997),List(75356816, 72645318),List(76891447, 55522908),List(38045499, 99146527),List(40151824, 47457655),List(14480497, 89820386),List(5291349, 678927),List(71634409, 16988107),List(52870756, 68970876),List(38097426, 95665763),List(85631517, 22525376),List(95143951, 96848195),List(98619096, 53913250),List(26523033, 94580403),List(85112136, 56288249),List(62712400, 17152052),List(63825257, 99164236),List(7466915, 63229787),List(72469158, 33640991),List(2587697, 77191532),List(60606446, 92080475),List(52731107, 67434655),List(69733853, 92238858),List(17430290, 34912895),List(64363628, 73705150),List(38019792, 27520253),List(86032899, 19045775),List(74191738, 70960694),List(67568432, 20533371),List(23539280, 3496830),List(73637547, 12873462),List(86222231, 96442001),List(36054376, 49712264),List(94159868, 28691704),List(12310134, 17856851),List(83288970, 38013782),List(88373274, 19778492),List(15192459, 33015070),List(1922045, 63151014),List(80169029, 76790478),List(1694289, 23588915),List(82272063, 99320509),List(46076897, 2301428),List(52449479, 95865916),List(47234261, 51942054),List(62158103, 32358503),List(22295318, 62939142),List(8318815, 20454174),List(55761143, 81197162),List(90953793, 88796549),List(66853744, 94401518),List(87733911, 78482566),List(40482047, 2194203),List(47286041, 31760577),List(83942797, 81648897),List(41268995, 20133879),List(89054401, 10067741),List(72160592, 6833244),List(78391992, 42414580),List(659044, 83304442),List(93276810, 42449906),List(70083084, 78880239),List(84056423, 55774910),List(29394159, 61292186),List(10260857, 58797364),List(13693999, 27666541),List(66231126, 20091634),List(3381249, 81755383),List(48631005, 47587562),List(62186037, 49866137),List(69240393, 13419345),List(40166894, 98391753),List(99935762, 2685849),List(53069651, 41869162),List(44187303, 12091880),List(94837124, 6589733),List(43792521, 86842061),List(64972366, 20890012),List(35559740, 40903928),List(2132338, 44212380),List(62018330, 5138019),List(45373976, 65747095),List(78660705, 22946514),List(26843326, 1592268),List(41370483, 97742029),List(34029065, 91729676),List(91235462, 13890960),List(82190929, 49867562),List(86428187, 95080784),List(2435235, 55743078),List(91391231, 17139735),List(34616803, 91164215),List(94899979, 44524287),List(6602678, 42334852),List(63492861, 21619),List(39403308, 90458171),List(80923805, 74694727),List(56518549, 53198907),List(27670930, 32914089),List(47694982, 54407334),List(42196244, 26767788),List(3509186, 9749721),List(30300487, 47697687),List(62969258, 39218298),List(31483664, 76730050),List(32982676, 48492896),List(18933713, 7287290),List(16903591, 55266140),List(57712583, 12948736),List(26460894, 18442202),List(45723910, 74863691),List(86575538, 78449432),List(13988786, 29526259),List(46354335, 47201173),List(44402684, 91476527),List(56606138, 8013732),List(84168430, 38730271),List(49766640, 45746440),List(91941850, 33765218),List(76412222, 98574549),List(73308784, 96132261),List(10731961, 68068536),List(1108541, 8497467),List(7546623, 53291275),List(3011661, 52747707),List(3764794, 91003744),List(3152783, 41893593),List(616986, 28803095),List(40634200, 84012032),List(39225788, 98881890),List(79961712, 8330143),List(19986921, 65293609),List(24554787, 34434973),List(6837755, 19496464),List(93106918, 80360770),List(43090593, 51950991),List(17594036, 38666518),List(14558196, 25165063),List(33037292, 44009784),List(13998630, 84716070),List(21750545, 91145854),List(24628864, 16557370),List(7117486, 40142502),List(56200108, 82178218),List(45501841, 46339253),List(18700383, 55891777),List(76205764, 62904203),List(86670634, 33105259),List(35764632, 40431049),List(23913149, 68967170),List(54694698, 13470869),List(38864575, 25024844),List(80322244, 94634810),List(7159380, 10507553),List(14443395, 86139067),List(61271111, 62006073),List(79029504, 70220069),List(59063453, 18241737),List(94024510, 45453919),List(38642033, 50553865),List(27407209, 55740566),List(92299513, 70998254),List(88689702, 45744181),List(50141528, 90617505),List(23702967, 49812052),List(69200786, 82344569),List(91137007, 88505918),List(6717229, 40923820),List(91129136, 18349637),List(57427755, 69257551),List(5071676, 76246720),List(87265390, 52254276),List(43311791, 28827286),List(52137942, 7907425),List(46156309, 43863762),List(25179932, 55499019),List(21824957, 43162632),List(28804842, 71570357),List(42512539, 31446665),List(3119499, 64477525),List(69019607, 78434112),List(70116733, 43762161),List(10390670, 43511942),List(62568059, 44199901),List(96533353, 93189587),List(97369883, 90596823),List(54488039, 78200965),List(14103058, 7262209),List(15080041, 51355103),List(97272591, 65356703),List(88027419, 74967513),List(89668305, 83104984),List(44916026, 60240412),List(49840527, 86282954),List(17172219, 33459615),List(69416727, 29177169),List(22311908, 72877247),List(3112126, 41833085),List(98981576, 70710598),List(71264566, 47547382),List(97564078, 99903248),List(12309692, 64670460),List(97184109, 75959793),List(14734148, 75646527),List(8891970, 49724243),List(15980751, 28962645),List(13153288, 31842827),List(25394693, 11955707),List(24704954, 80377461),List(23523948, 6809427),List(3442249, 13675201),List(21349124, 29814754),List(53652165, 89735776),List(8076850, 41283735),List(76887619, 349569),List(75459273, 3137667),List(18187776, 18490658),List(64322074, 11089264),List(43198645, 65728239),List(7404930, 68060331),List(39937732, 43754469),List(81162537, 6024701),List(52490571, 79418947),List(33129290, 37800312),List(99410806, 12966186),List(67011522, 62052916),List(58285366, 32444635),List(63472534, 1974315),List(14570535, 66595822),List(35043545, 34968848),List(22279431, 51280161),List(8833625, 76837535),List(77178735, 32609967),List(32420754, 62440428),List(12011657, 69816532),List(46446324, 99576006),List(58146356, 70674095),List(78521308, 74060756),List(83648003, 39795794),List(57741759, 80502734),List(60925442, 69733331),List(75966029, 62439291),List(93120066, 40391192),List(13004695, 70543539),List(86904354, 61995295),List(46686239, 57615205),List(66958344, 46047636),List(54718466, 30476677),List(1536389, 42650503),List(49641653, 14366660),List(13030481, 63151489),List(34362277, 17942645),List(69762051, 50987265),List(23782685, 35682179),List(45574625, 19006385),List(33982624, 34548629),List(8027425, 50592085),List(62756898, 98406049),List(6524948, 57192499),List(60289826, 23594121),List(19218314, 75607172),List(41159084, 37444472),List(10774533, 83138268),List(33739467, 5277342),List(36352240, 11171510),List(35304731, 49303984),List(59275755, 17036692),List(80820438, 16269436),List(60481001, 85550798),List(26688285, 37407747),List(74117344, 65121751),List(21025498, 70439018),List(28959046, 3615103),List(20566417, 61295175),List(50855848, 98486170),List(86567646, 65587685),List(62135383, 88489179),List(68726621, 74180226),List(80493973, 8888799),List(38083250, 56256770),List(37867330, 88401122),List(44043981, 11092862),List(88764488, 79971556),List(23494216, 32865576),List(98390180, 94241306),List(29818749, 46081032),List(67271609, 37705842),List(64138532, 63645653),List(76199549, 21412891),List(63964604, 23751154),List(81018622, 37099457),List(56956624, 3304586),List(5546762, 86748542),List(19679344, 98836906),List(41503833, 93741094),List(89153286, 8077895),List(31580066, 60124458),List(39508497, 19600770),List(47486576, 28444135),List(16785016, 73393739),List(62026971, 62003373),List(14307503, 30343842),List(86159372, 38656825),List(51078451, 24280114),List(43061486, 51484201),List(58949766, 54976074),List(87504269, 89772856),List(96722067, 83350682),List(17887276, 74578917),List(77498890, 91271737),List(48045393, 50953240),List(13326073, 27496681),List(78504143, 22221198),List(83495125, 5293082),List(57986830, 63895887),List(4313978, 30885115),List(50844465, 55032076),List(20769186, 39942764),List(83708782, 47280987),List(79263644, 47534179),List(40274542, 98707147),List(38043328, 366971),List(62421408, 15021623),List(51337948, 97113707),List(155603, 14535312),List(48019923, 97562349),List(35207495, 59057197),List(64197681, 68179662),List(72035837, 84875769),List(59769311, 58896065),List(56572925, 90936438),List(59841997, 89633470),List(64350735, 69493610),List(29249791, 7499662),List(26338737, 5768982),List(47927026, 10338841),List(39872641, 27422229),List(60956114, 43062656),List(34059242, 3814691),List(28072793, 93209163),List(93998691, 92015779),List(29510162, 97560523),List(34883363, 8826624),List(84872463, 47447959),List(65216202, 32400830),List(22733420, 24721049),List(68341634, 197369),List(36614383, 94316506),List(23031324, 56100492),List(49239452, 4539352),List(76259051, 36766262),List(21844295, 69143842),List(92297599, 49584459),List(13140298, 37925861),List(95570136, 84120588),List(6370206, 60584645),List(26275656, 74755317),List(8527062, 69452870),List(34356276, 88854434),List(90734422, 56505594),List(54645193, 81783638),List(81824801, 19565136),List(88717641, 26625331),List(74403656, 77706226),List(22974262, 77561762),List(92845552, 17620665),List(83896265, 94139306),List(44486684, 71897375),List(70950714, 99333286),List(1396617, 10709078),List(38214511, 6599583),List(18697889, 51365758),List(96155583, 87219588),List(84624026, 56865384),List(95786083, 17966396),List(63070849, 64227005),List(86368231, 76501915),List(416129, 11238032),List(31495041, 24993567),List(7597438, 62351745),List(98197650, 17264018),List(61421357, 47949397),List(88643780, 8839184),List(61713287, 3246574),List(52200317, 63333967),List(3702608, 36903220),List(6645385, 97774752),List(54663978, 21143091),List(91982366, 9448246),List(73361965, 3952133),List(44018616, 29033612),List(47476114, 26372493),List(86968974, 51147250),List(62214431, 40229849),List(51160979, 20347785),List(8548159, 62012279),List(6741671, 28128855),List(22992406, 97101140),List(54204764, 63561136),List(36467121, 69534665),List(75777678, 95305903),List(37293081, 86111307),List(50451236, 93228669),List(42379175, 2904997),List(36188135, 4252907),List(65038027, 15759812),List(32372968, 24370190),List(68133818, 90635425),List(17318449, 87831276),List(93069460, 4760125),List(47678662, 99883687),List(72692256, 87678619),List(24305397, 88728815),List(26438318, 3405914),List(64709710, 4829510),List(60678720, 95906832),List(68670812, 88590796),List(88547124, 38147677),List(36956292, 70191509),List(55556554, 85712065),List(54876906, 16225232),List(11064283, 26577822),List(54654294, 87092136),List(46442076, 85244476),List(99972372, 47235104),List(59857989, 3782761),List(78415150, 6682625),List(22013763, 20104773),List(91985785, 18482390),List(1617791, 45673163),List(64086174, 24799589),List(37124797, 58199200),List(98272836, 16264694),List(3622832, 11274991),List(85932813, 2065845),List(61718189, 19410796),List(61972154, 18155909),List(22549813, 9784981),List(93588672, 15188527),List(56791542, 56824225),List(15688326, 28200703),List(98349032, 57721674),List(57280764, 5211587),List(98714711, 97128990),List(77404257, 30893334),List(87332615, 69669776),List(41135087, 11689169),List(82035056, 88498936),List(53318539, 77602590),List(27236218, 91773001),List(87061677, 82818547),List(17758280, 80160580),List(60482247, 17372382),List(13654651, 63601291),List(77986156, 50683706),List(68974200, 60428551),List(44789380, 80591582),List(11271117, 2666871),List(8784905, 36273331),List(35911915, 90733950),List(22577508, 38249949),List(22189003, 88998346),List(83845588, 55340739),List(56260067, 76333697),List(63442117, 83531382),List(20746338, 46756112),List(38477624, 82722672),List(60928770, 52078341),List(79025323, 70958609),List(65635536, 57057308),List(59579726, 50140990),List(22192655, 86866862),List(71950145, 10714741),List(87202315, 27692011),List(93769488, 64922455),List(86007039, 48242145),List(5277255, 92665751),List(94094677, 54849218),List(67160022, 81579483),List(96757325, 45487349),List(92435874, 11317924),List(25037001, 2960535),List(48182709, 18820201),List(19638889, 4430059),List(98343744, 54958888),List(33714619, 42346424),List(22099169, 95266645),List(78033928, 65614793),List(51510377, 50284114),List(74714680, 93637751),List(2566670, 89767684),List(74537101, 37189103),List(13745019, 43143705),List(43377541, 41261557),List(88603053, 43137542),List(75268151, 86732608),List(53745828, 6200339),List(74157291, 14731247),List(57813900, 576221),List(40412024, 33540753),List(48254339, 90977087),List(17203661, 36907497),List(2520432, 83882546),List(20830871, 81951875),List(97103664, 49499177),List(73508157, 5849134),List(1897226, 93005909),List(30882441, 48742896),List(74186954, 60040223),List(30198285, 73288454),List(88842985, 83576192),List(18481797, 56567597),List(84268497, 83290302),List(69891057, 60595904),List(77162567, 37130354),List(67016842, 48790767),List(499262, 26027597),List(81054419, 93077471),List(52537300, 88538081),List(56964425, 5137208),List(25379663, 88106928),List(71685939, 16478647),List(84810657, 66928904),List(56809324, 87757558),List(93114993, 56615904),List(95308906, 89933483),List(71792148, 96718307),List(60770162, 46120543),List(82655048, 86130868),List(74203187, 80896621),List(43030704, 77272671),List(27639676, 68937986),List(36457571, 49130796),List(10212524, 75801838),List(74614215, 49695669),List(56761077, 4365537),List(52994673, 64782345),List(81454495, 576712),List(18462950, 91518158),List(15562489, 14719512),List(18668740, 75666760),List(95186598, 44404472),List(95558128, 25087951),List(78028458, 71978859),List(41280786, 21281151),List(91493412, 12730303),List(22397488, 25418738),List(47431444, 60347532),List(14954628, 94330825),List(76029514, 47007732),List(83449788, 94439073),List(51976328, 40901396),List(95530882, 93431774),List(84182880, 29463393),List(19440650, 30852403),List(38016872, 8116008),List(58106433, 97826685),List(93330794, 49877167),List(17367281, 78061848),List(76020486, 32065282),List(43026560, 11859311),List(73868722, 25430996),List(77528450, 55687381),List(41816195, 80687297),List(83315894, 64045651),List(63102527, 71355987),List(66795330, 54095776),List(11825257, 5177887),List(54446810, 312622),List(8713361, 49224670),List(25018246, 350668),List(73717991, 46807671),List(98422747, 42115537),List(19358996, 67756030),List(48307243, 99875592),List(11270318, 35389638),List(47770442, 41111368),List(98706464, 20401928),List(26518998, 8331211),List(48167651, 86605000),List(94237751, 97411700),List(5461571, 82311340),List(4288873, 48810524),List(86043055, 3640052),List(82953941, 92444814),List(84387762, 72610959),List(60002862, 66008036),List(87009767, 67997873),List(5910249, 76095390),List(68438787, 12177141),List(38492707, 27695823),List(56543906, 62262821),List(48443437, 61382069),List(36727166, 85067663),List(70558487, 84069672),List(8046252, 12194967),List(4930512, 75798426),List(96880810, 46103275),List(53038233, 69743153),List(91414389, 13060796),List(91789261, 55612621),List(11629615, 19243400),List(16636595, 51252289),List(35263978, 16420158),List(37138926, 41008306),List(19976179, 37323321),List(26913972, 87017868),List(89069016, 93351347),List(79691880, 15139653),List(20318741, 69714024),List(35063069, 97489940),List(3568908, 84909844),List(64424868, 80553384),List(12231308, 97415379),List(73412056, 34630914),List(94286234, 73504462),List(35151267, 99352034),List(89133346, 28796816),List(27371363, 55560911),List(71978586, 25286674),List(89974914, 93246479),List(82536312, 91035083),List(87930781, 42344855),List(85559364, 5307499),List(77548186, 7523635),List(71132710, 56309991),List(32739334, 26313336),List(51959551, 86081432),List(92998646, 24803086),List(33663582, 10637670),List(34642594, 23911712),List(91303726, 48917877),List(51769418, 96566459),List(97422899, 53799303),List(59884009, 87175701),List(51096155, 44124647),List(54499568, 19033366),List(29818719, 97733498),List(84763721, 26932662),List(16576829, 83954842),List(36926178, 20279955),List(38368391, 77397173),List(55908989, 55650999),List(11797729, 2063991),List(44124726, 62294174),List(43569914, 68771085),List(96456065, 49976495),List(22455757, 37397530),List(95227699, 30783661),List(15533634, 74151446),List(17646416, 97215938),List(64750098, 16888689),List(15532591, 66250235),List(53579351, 2073413),List(9788815, 29165298),List(1097940, 680403),List(92362532, 86518125),List(32097137, 70224651),List(13334642, 70066417),List(5249368, 32108928),List(98458983, 87292382),List(45194838, 6354246),List(41754709, 66112448),List(18749359, 52624860),List(42900237, 73535485),List(18622719, 32176858),List(82776392, 25406229),List(54502047, 15079229),List(84343795, 19163587),List(6177342, 858342),List(90619433, 94196538),List(42619443, 65324377),List(60333742, 55925521),List(88936895, 35716020),List(40133569, 6949801),List(83166794, 98092671),List(19704087, 89460022),List(33350034, 76728053),List(81184618, 73286716),List(83863181, 61221734),List(87317497, 83981371),List(5272206, 94103654),List(17124288, 94922941),List(53931910, 39909033),List(25145903, 52325376),List(77790650, 22492685),List(9660292, 56724669),List(763309, 99062922),List(68521980, 27922518),List(76194912, 14264034),List(89968816, 22071914),List(81623534, 82432721),List(51763576, 4561504),List(34009342, 28236266),List(97217386, 14074782),List(5897121, 42852998),List(44117898, 82924175),List(62079632, 64047430),List(19429516, 70549307),List(39296679, 75699837),List(59595873, 47830300),List(67479015, 84027039),List(70620620, 8069084),List(22563740, 10574511),List(41469454, 47659758),List(42283676, 59300128),List(73484348, 29947525),List(59817973, 45692435),List(97313292, 2639772),List(34839825, 1788954),List(29377007, 18581426),List(27321755, 56928500),List(38475302, 27337803),List(3221598, 71327241),List(28388311, 92519743),List(79783175, 50078959),List(66640173, 79651724),List(79670975, 83102493),List(99748619, 78712264),List(85528980, 87584290),List(74704214, 42100443),List(55341363, 29312479),List(76418615, 43097276),List(55430799, 68493326),List(79879158, 10710515),List(97661705, 61840617),List(60066693, 1151395),List(64938781, 9913747),List(38571007, 206369),List(99166308, 89857068),List(72058379, 1371264),List(93663562, 35548118),List(35048478, 89024939),List(53378424, 31358417),List(27107459, 3856537),List(64001751, 47816820),List(93070211, 10363356),List(14990998, 73996132),List(79575166, 45391767),List(14908487, 91240988),List(53186492, 86563251),List(55098018, 91553321),List(10923895, 87452717),List(75814742, 50020840),List(49345443, 98005377),List(85742126, 13452443),List(45241982, 66129524),List(41896645, 64368282),List(10694551, 33794218),List(62368259, 70524935),List(88484046, 52319921),List(42870731, 7180203),List(60905187, 99533875),List(85787712, 60345208),List(5468923, 85572672),List(37301780, 13839684),List(20541654, 4337988),List(43810695, 53158419),List(11049077, 44038580),List(86795063, 35692612),List(47373217, 70590510),List(50861747, 86774921),List(1670918, 95236598),List(37255380, 62638338),List(27302782, 75429635),List(48253754, 16840563),List(32549991, 63690902),List(74153510, 35346660),List(89954804, 49325041),List(4792723, 50958377),List(88108626, 86519984),List(80894393, 81770502),List(67120432, 8992067),List(11341293, 49881160),List(40580046, 23192549),List(1899478, 44925240),List(95758863, 1024892),List(50245838, 39585624),List(54526387, 55058124),List(37658443, 99738807),List(83588764, 16735527),List(96376825, 27919878),List(44400825, 82590894),List(47792831, 79757668),List(25187314, 54772254),List(5198159, 63774974),List(58191534, 6591761),List(89003507, 42103762),List(62766499, 79038978),List(6247905, 1399743),List(85310768, 18132644),List(96255901, 79378250),List(92680172, 28990609),List(42367851, 47596698),List(34167469, 57101897),List(62547028, 39080835),List(78187948, 53917711),List(5457464, 89175020),List(38757002, 3328223),List(92174629, 45789612),List(50075903, 38283266),List(18725925, 74898509),List(63899687, 57945988),List(25015726, 67911580),List(69090005, 27137509),List(2812450, 94444318),List(52835748, 25977669),List(98068860, 59999967),List(71791520, 28052723),List(56781301, 99217559),List(97225422, 5425299),List(60548530, 63409838),List(17964500, 407332),List(80050928, 33065203),List(80691640, 92452139),List(55674981, 67799247),List(63240957, 97087257),List(16232496, 43492710),List(73533570, 24411160),List(8315113, 88734244),List(96152177, 66323035),List(50555873, 71210272),List(97089982, 60166526),List(85814654, 8865437),List(64922598, 4066078),List(77888612, 67763355),List(9788422, 53457015),List(6907929, 23901600),List(18203821, 54143708),List(12660508, 6504374),List(92804133, 39992706),List(25895258, 86037056),List(75261594, 94254351),List(78931379, 43826763),List(9811300, 82900547),List(49230184, 42302643),List(42811615, 13951424),List(34265640, 74687390),List(48020393, 27363919),List(80729406, 92507148),List(70840006, 93963272),List(57846429, 27245912),List(90830598, 44248154),List(51460819, 17735404),List(13240271, 82372844),List(14181056, 52515657),List(1035753, 53838310),List(16155882, 65963909),List(22583732, 96997749),List(47674767, 28670916),List(73964483, 94546618),List(16413040, 69380893),List(49033755, 6789715),List(89784853, 70891171),List(63514377, 89581203),List(93611643, 11977521),List(13576206, 3417952),List(11231426, 20806773),List(90679145, 12859615),List(79364047, 70733512),List(69059080, 55198423),List(69213198, 65725428),List(40741293, 78493342),List(69023962, 66346237),List(62451801, 1058953),List(1216273, 17209687),List(52401409, 13396760),List(68965246, 27587351),List(14952040, 38189418),List(74193448, 216748),List(81405946, 86527843),List(28808056, 4416820),List(60536917, 26967310),List(33848852, 26625288),List(28562081, 17068217),List(57246464, 88937708),List(11917293, 30176855),List(52180405, 20073195),List(20697740, 3797272),List(54764194, 10098378),List(42038995, 97710769),List(9713720, 85513004),List(7852377, 66127933),List(86543218, 20164899),List(1509687, 73365938),List(65261601, 97169356),List(67561857, 87730518),List(96274959, 66729488),List(30653568, 72033303),List(8346959, 27783126),List(92794638, 20204679),List(2527346, 69382143),List(83010205, 83314011),List(65615249, 97695113),List(47669777, 8275549),List(98818583, 17194161),List(63160529, 16845437),List(75386864, 24222298),List(31342882, 13396253),List(6991984, 65477093),List(83289741, 23301029),List(64933214, 19679986),List(32616897, 73183359),List(95121058, 49179639),List(43792861, 58996730),List(53855200, 85783331),List(28671925, 71068489),List(84596732, 98467065),List(91899165, 70148049),List(67408553, 38702919),List(4910151, 120880),List(398999, 53376189),List(19856487, 73218890),List(90930038, 7932148),List(50664157, 20904746),List(19872894, 94918734),List(681696, 45328028),List(14589176, 26406469),List(76177072, 73788908),List(26947355, 70849150),List(44911040, 78773255),List(36925548, 45486004),List(14128981, 87390567),List(4120092, 34691767),List(66195263, 1122501),List(75154912, 23081343),List(5330898, 55669582),List(87227454, 13699144),List(279873, 62717588),List(146249, 35799386),List(91074, 75528514),List(39774240, 17283139),List(31675979, 11809138),List(23484858, 46601866),List(74935657, 86211317),List(5121403, 36517370),List(61385787, 67879610),List(28680180, 82491279),List(83268001, 99755066),List(58595911, 64522559),List(83469175, 58833876),List(35813114, 61783497),List(44341323, 62806059),List(65308321, 50648684),List(26890609, 39014028),List(23531139, 43930871),List(76765865, 18719246),List(78858229, 64617367),List(9331841, 40132785),List(27761878, 78158169),List(64740712, 78864868),List(88564799, 60703738),List(19484102, 98415397),List(14390378, 98652959),List(1649356, 31881466),List(40091355, 89463589),List(1274636, 26747415),List(63737436, 12632437),List(61935657, 17719280),List(78061911, 47207814),List(47735012, 30330959),List(17103954, 10636570),List(6446193, 50076981),List(20820645, 94020763),List(47696189, 6404984),List(92966438, 75474487),List(3334430, 35483457),List(92259796, 49611310),List(33583202, 643312),List(69234855, 217553),List(248563, 71947942),List(69948432, 57501381),List(5798777, 86611774),List(75369940, 2416029),List(85096716, 99044062),List(62713784, 78567638),List(15182091, 38151718),List(50341683, 90194045),List(4223928, 62634700),List(23280528, 3243343),List(18741632, 89433280),List(51658851, 24759783),List(88462226, 98560245),List(31025671, 45507624),List(92933510, 93467388),List(12557590, 43974105),List(24710292, 33491557),List(54687451, 85724677),List(85451869, 79935236),List(39819177, 19439786),List(53713715, 34840115),List(4632790, 23216720),List(84780582, 11516408),List(41796571, 66178543),List(91046051, 5840647),List(47245805, 21371127),List(81151777, 50657966),List(97230488, 72203819),List(69411301, 5688500),List(55480161, 90389298),List(61776069, 59013434),List(97292849, 23242135),List(46531088, 87084295),List(64024902, 93142523),List(36617770, 65850025),List(65418073, 26190269),List(27922485, 77624535),List(12955602, 93398722),List(36988002, 60539661),List(44707890, 95455584),List(46301336, 30432420),List(27431309, 71219375),List(54787777, 81059960),List(1931642, 17074617),List(18331306, 63840547),List(29409932, 68302618),List(56569838, 36033029),List(54259202, 86832136),List(44852300, 82707482),List(65129512, 22591377),List(17720817, 27572095),List(61767809, 38676966),List(45648864, 44886268),List(59457149, 78536617),List(51375325, 99943910),List(30780844, 31413024),List(64504660, 95323324),List(40757642, 27373414),List(348928, 72683745),List(47398851, 17233647),List(95122603, 21769248),List(80083850, 67221623),List(12965203, 31774535),List(83274694, 79634826),List(53030461, 18391009),List(46090361, 20925910),List(66639951, 10356479),List(49876107, 28161572),List(41778266, 70066331),List(32604441, 34962763),List(23158382, 28976852),List(14208727, 85492711),List(90048129, 1040878),List(99325379, 11877505),List(84746540, 21641304),List(3697662, 44929911),List(1706163, 38852666),List(34378487, 40120275),List(66045011, 16991350),List(17918935, 80906751),List(22496487, 29146802),List(51801795, 90280986),List(61180286, 80885163),List(10815827, 74586332),List(57074874, 9953780),List(8898766, 84165613),List(16224180, 44556910),List(47989591, 44971406),List(72730768, 4963874),List(28228407, 49964623),List(91073780, 98218245),List(60491099, 63324259),List(137572, 59078973),List(38301497, 17923595),List(10150819, 54488909),List(42869162, 87619094),List(28253153, 45578318),List(87801920, 98199963),List(73263734, 13708148),List(84636737, 7971959),List(37714391, 37317886),List(43546360, 64876518),List(6013471, 66737169),List(34407252, 70157543),List(99722669, 28961344),List(80062801, 48227258),List(61150769, 40946815),List(56306967, 87155431),List(98493769, 42755108),List(55583488, 32087102),List(77756692, 81368905),List(87063838, 54366847),List(59612535, 55142689),List(70567395, 29691973),List(10325103, 86691923),List(71715930, 45412617),List(56353605, 86085758),List(97481692, 80166219),List(27975474, 47555597),List(99744175, 37477327),List(62489140, 20749723),List(23639594, 59035358),List(85692923, 34886426),List(12999582, 9788766),List(18121469, 19089518),List(19980713, 55375773),List(19058924, 73746442),List(14870282, 71285701),List(61345733, 24892271),List(88089127, 38066303),List(67312454, 8881851),List(60570475, 80034872),List(75278636, 87984116),List(89036949, 82039900),List(59218037, 57399979),List(91427680, 54594159),List(53107992, 39601812),List(92650224, 54751582),List(52148488, 67762413),List(89874520, 43736476),List(66219959, 83938984),List(43498627, 26488251),List(49458215, 37519658),List(7337167, 3408960),List(37263286, 26305415),List(91931189, 79184806),List(94049281, 55946977),List(65505890, 8550750),List(57825081, 21664088),List(66863483, 44932204),List(3064019, 4996204),List(23300665, 63485130),List(87737165, 47323901),List(14282753, 95286208),List(97661189, 1561086),List(82796797, 30123831),List(20453303, 88832739),List(55469652, 34149726),List(56833145, 37536865),List(45466201, 10479356),List(40173866, 37575789),List(87955881, 63676916),List(51892390, 5521506),List(75206651, 94152513),List(66521580, 84702293),List(82412392, 39391383),List(60834301, 71008813),List(16917423, 1671454),List(11559789, 80722755),List(19433478, 2204939),List(34968998, 64477782),List(11454122, 16158922),List(61922567, 9098864),List(69900666, 47464546),List(12154358, 56996597),List(48238472, 89152544),List(31275623, 40189372),List(45649478, 24536523),List(13099233, 88705097),List(12135078, 53076176),List(72758239, 63636948),List(16615984, 45996886),List(91416129, 54756),List(35992838, 26234685),List(3954339, 97935233),List(87780192, 74368793),List(41062502, 82128531),List(4961296, 62864798),List(3835550, 24777259),List(9746066, 89586605),List(31354549, 14469885),List(50852778, 62219612),List(31811891, 86344447),List(93683498, 72852367),List(45404621, 5340577),List(97043354, 2890072),List(50108855, 33458017),List(20816570, 35637840),List(79796153, 15060348),List(18864194, 97319596),List(29882939, 14247622),List(65434624, 20688153),List(60190206, 74849802),List(7809301, 5603001),List(31403482, 22108161),List(16476180, 51944286),List(65182592, 73515311),List(40861381, 78899442),List(83046624, 20462122),List(96236248, 15259061),List(8385455, 86581405),List(89717527, 88203618),List(56294482, 65422702),List(32734341, 66450537),List(69857904, 70689357),List(27703657, 36051880),List(883509, 81768169),List(86622084, 82981317),List(84670013, 89068422),List(64798509, 80886098),List(49173389, 49395712),List(982914, 13665456),List(61065121, 84973403),List(35259291, 68123469),List(53084902, 77710705),List(89194522, 61324748),List(81332822, 98158974),List(21651749, 81450465),List(40721871, 6894681),List(69268652, 19724899),List(19215717, 35534188),List(13176206, 14219684),List(2886538, 42563930),List(92228844, 93344992),List(79478037, 87348194),List(63218600, 1162995),List(45312548, 66563724),List(70908231, 30603983),List(76561548, 2757456),List(86861872, 67080265),List(92339195, 87814101),List(57870381, 60102188),List(46162920, 35128358),List(86544793, 69801022),List(98143062, 14615755),List(73919643, 22781040),List(66880728, 43664905),List(33281577, 47272360),List(79009729, 20168367),List(63431161, 23385712),List(13835536, 10757166),List(45895622, 56789063),List(10695089, 4037566),List(33354834, 84676494),List(33902719, 99041540),List(81352352, 87152508),List(48059068, 16175292),List(5296158, 85251968),List(73330856, 15024553),List(97175750, 419047),List(94187238, 48846869),List(62049550, 48079029),List(802180, 771417),List(24600386, 88357600),List(38905987, 7376164),List(14999877, 28279889),List(16070385, 56595628),List(88951522, 68361505),List(37540415, 44725873),List(45847874, 94133278),List(66916604, 32047442),List(37422744, 64887443),List(2725059, 60116265),List(32020502, 57139543),List(38725538, 22097098),List(65396139, 21804620),List(43043944, 54921596),List(21430804, 88251304),List(29919610, 44775620),List(26418865, 86469158),List(59342221, 40998315),List(25414188, 75800945),List(11500102, 1838343),List(13855497, 64139010),List(3633126, 26843679),List(1257995, 3259324),List(59808878, 51832572),List(21943105, 45342802),List(24774844, 85852053),List(42395391, 40141793),List(86625677, 68491236),List(13014658, 6129793),List(47922597, 70624419),List(59740652, 61491392),List(4115287, 45896871),List(9861780, 10441402),List(80694941, 92497201),List(30850447, 26800087),List(83840988, 11988760),List(47311498, 55383594),List(99680514, 71373510),List(74784362, 97365439),List(17458403, 776152),List(75316229, 78554905),List(22434184, 46447981),List(82212459, 43808058),List(548188, 30605582),List(82001390, 84013456),List(54982939, 55168755),List(24376605, 41736391),List(37310685, 53630671),List(11636179, 50407102),List(48807372, 29212982),List(46078574, 83770746),List(94718839, 26837281),List(76566480, 71548518),List(14527023, 27901456),List(17620362, 44863434),List(57168708, 67914616),List(24893532, 75062051),List(4491993, 3989055),List(57742220, 49300750),List(54825081, 57366898),List(49533985, 9836256),List(46988698, 96874573),List(49949179, 22238728),List(80987507, 89094314),List(7878968, 11628463),List(17955253, 544066),List(12629542, 93806020),List(98210506, 92486940),List(29651083, 9363282),List(21422060, 98921929),List(41010434, 53204288),List(78201784, 47327679),List(69256284, 60021125),List(34312897, 58810806),List(57325021, 28810702),List(78791025, 50268255),List(99795453, 64293841),List(86772857, 94145412),List(22664615, 16098654),List(15894495, 48284416),List(49986853, 60702035),List(44450057, 36899606),List(5802234, 99922210),List(22691276, 92260547),List(95497681, 79917426),List(80611767, 92448188),List(15800275, 79664385),List(23967379, 95177452),List(67614316, 52870469),List(76969911, 86287677),List(72991071, 53713676),List(71467041, 78929867),List(11523047, 26445611),List(33745173, 13653802),List(86590105, 70468763),List(38806909, 28158515),List(76339826, 37229217),List(10825556, 73272670),List(98094160, 82809744),List(85251010, 9669055),List(50043785, 4066389),List(83999301, 21812515),List(12939765, 73880237),List(57214357, 69241068),List(33247226, 34669836),List(13252373, 63869810),List(76925030, 66229791),List(96849231, 20882912),List(8122384, 79662045),List(6868602, 5397373),List(80718815, 87479964),List(56215883, 24531263),List(19621605, 51186921),List(90144326, 32811027),List(83697591, 71536654),List(2827656, 21270684),List(51622342, 25364415),List(60127081, 94412172),List(80798164, 44075125),List(29534282, 30220061),List(75210804, 64899748),List(27078715, 60707444),List(92275385, 54853338),List(84907633, 57111130),List(13094552, 31018498),List(30441077, 1392819),List(25252876, 65051960),List(93180103, 96013759),List(9801215, 31235096),List(8772097, 80923759),List(65322459, 8017679),List(11425933, 65234650),List(46190734, 77687228),List(39638135, 18371242),List(65719934, 47414006),List(77982962, 9045723),List(96942349, 76401319),List(60825046, 5836215),List(23518986, 88290061),List(42403389, 98549372),List(80408795, 12892910),List(12465164, 24236265),List(14956674, 58968414),List(85803139, 30026905),List(69090257, 45081084),List(79270311, 5171692),List(36210825, 92242966),List(66659914, 53254277),List(28270469, 52370848),List(62644170, 35130937),List(55351936, 33995330),List(88939344, 95295527),List(78079047, 57168509),List(14489675, 57794122),List(69336997, 44034270),List(92086127, 31031779),List(7655541, 8412425),List(3552357, 5295241),List(41050768, 21293645),List(53769186, 46723593),List(96021698, 25015312),List(35338649, 45334688),List(37958669, 82819346),List(63563320, 6091273),List(50583885, 63424155),List(19218121, 88311421),List(58336864, 27987809),List(49202914, 7477416),List(27683925, 3922957),List(84476928, 28649936),List(2914784, 2122628),List(84659086, 33927593),List(18842434, 27476951),List(76127976, 75313398),List(75884131, 94557883),List(52259659, 17233496),List(18367993, 95243382),List(76384966, 23174577),List(9510247, 55969698),List(82644540, 10601118),List(63527175, 20970653),List(37425517, 82654048),List(72185000, 8471452),List(57637188, 73749079),List(59915012, 29091631),List(48710259, 72259912),List(56234583, 43691857),List(77184029, 7856158),List(81267812, 16469034),List(27220416, 26733644),List(60103598, 31821993),List(41990255, 50552374),List(63087032, 82616685),List(84645762, 35212277),List(97837339, 99395233),List(28662677, 63793708),List(77603240, 72262022),List(34989372, 5262970),List(14925435, 76587179),List(26914481, 26105670),List(2330288, 64366974),List(42827183, 22692261),List(71891242, 37843184),List(37773715, 64173364),List(92272928, 70137762),List(76513653, 68473852),List(44839785, 15406674),List(67867817, 23374174),List(2000558, 20521724),List(74037968, 32397505),List(56827028, 67825047),List(18915146, 57465308),List(46328900, 1983620),List(51964682, 58359279),List(67802350, 87119487),List(98481430, 62841637),List(36623682, 66468577),List(91729070, 9806960),List(6398366, 78991310),List(93613216, 52604096),List(79291977, 70916461),List(26149966, 22872670),List(67159297, 53243889),List(38389070, 37110032),List(87524574, 38105593),List(58101191, 69032982),List(27198259, 47348611),List(90914356, 19483876),List(5528264, 42861194),List(27574029, 28813186),List(27757182, 46334749),List(88828392, 51756217),List(73310016, 13059653),List(94795190, 28213148),List(22088539, 7840788),List(54863999, 67595244),List(11825680, 97986556),List(25924996, 9790553),List(980040, 95461085),List(76164770, 91248343),List(43272503, 35354188),List(18867007, 10656119),List(89618878, 68822367),List(21131535, 69240581),List(78038653, 27362682),List(51714963, 94916085),List(89214096, 40970464),List(38379100, 21267952),List(55359732, 36422819),List(88237937, 11895001),List(28352365, 93874263),List(41478804, 44461803),List(6474009, 25874072),List(61669069, 87503464),List(59311011, 24025766),List(48515149, 68846669),List(23778445, 20878253),List(81300776, 40256781),List(8028849, 57030966),List(62185431, 56579978),List(43308830, 16617226),List(56250324, 51395040),List(83075440, 87549875),List(15881887, 10934362),List(39621460, 23976931),List(39131574, 6363086),List(88914590, 51946830),List(50019033, 81064871),List(39049171, 54751242),List(70058720, 73756204),List(4212167, 33776523),List(94341527, 7171533),List(88610906, 57943706),List(9764021, 20314175),List(64243379, 89641559),List(53911867, 79795238),List(55554236, 25207328),List(44697157, 16796863),List(33860452, 63480616),List(37235598, 77071522),List(79580560, 80665420),List(98588004, 41775857),List(22345835, 76732318),List(96239393, 46558064),List(42010155, 65432282),List(80725519, 94644509),List(69670753, 91057964),List(20973469, 35292361),List(53100279, 25349004),List(81531920, 37330914),List(99355436, 96973978),List(16607910, 37339031),List(5671188, 27671507),List(61793693, 42035664),List(48837176, 15370591),List(78221957, 62381701),List(53069416, 87335770),List(18522521, 70554973),List(41324570, 24990854),List(27153246, 37112518),List(69080679, 33791954),List(99203739, 55313440),List(94095163, 84976362),List(72943941, 49666890),List(52174333, 86143151),List(88893468, 89922961),List(50192952, 83254904),List(10411112, 3589861),List(93612683, 72292050),List(59606435, 72465952),List(84990782, 3542574),List(19402218, 5862636),List(39843271, 65173976),List(54864865, 67868407),List(33069710, 81472976),List(40963239, 45643993),List(41679313, 24184395),List(28104321, 99890529),List(39561767, 73872011),List(46250612, 11145121),List(67692104, 91420672),List(8683039, 96174241),List(54308213, 52582973),List(44796053, 64389638),List(17380525, 84443946),List(49759408, 7232885),List(6966549, 26666856),List(53498035, 70440402),List(37190612, 36834731),List(30681083, 9373772),List(82823074, 42292918),List(28431754, 90190123),List(90566719, 6329689),List(21994934, 95202312),List(9217346, 87560892),List(34982650, 81747209),List(48847340, 51984709),List(72670145, 71517187),List(62516202, 3358383),List(70504840, 14397083),List(73084951, 10951977),List(13166048, 55780533),List(2089494, 11498758),List(32670825, 92177905),List(23080773, 19808875),List(55916624, 96044988),List(35455981, 88173689),List(57795724, 36624637),List(14628943, 48221061),List(36139346, 10248011),List(4207115, 29279045),List(46515129, 7246194),List(63990499, 41055990),List(52204272, 35535875),List(51319082, 97816221),List(2405051, 78495135),List(90332331, 62280203),List(7439126, 13880934),List(11093379, 80846680),List(12530077, 43804804),List(73936629, 90367734),List(69247508, 76619450),List(82013916, 82507949),List(92583666, 37075010),List(50862089, 57519660),List(64194614, 9507667),List(44091557, 48607815),List(16663637, 19628990),List(78951704, 38873488),List(19384056, 97893908),List(38261058, 40059700),List(47331221, 85131289),List(65765408, 59400014),List(95390085, 33576903),List(42715174, 71527507),List(26529673, 44845865),List(69534919, 53168451),List(85042768, 79372758),List(75362738, 40344890),List(78338223, 66325894),List(17347982, 58365566),List(20247221, 12827353),List(22023945, 69710711),List(31160375, 95837875),List(75400598, 88858332),List(66332735, 43616716),List(94032502, 70348879),List(55048295, 67237356),List(75423706, 97721011),List(16711078, 13108263),List(26998217, 89525098),List(61543129, 76612048),List(92066468, 38724575),List(16650752, 86273960),List(10457598, 90378460),List(5103661, 35744301),List(8206780, 68991898),List(24975360, 97729274),List(40891576, 45294755),List(80504205, 87287203),List(16373755, 75854343),List(30491598, 97633588),List(33578441, 39300051),List(36882694, 76868593),List(28564189, 46787632),List(32365011, 66935094),List(14748081, 34819012),List(4205293, 87418595),List(35586608, 13497946),List(82507356, 5446599),List(6993974, 8329945),List(40594808, 73020275),List(91724749, 39909250),List(99923878, 55073543),List(66954811, 5555835),List(41301815, 50261006),List(20729807, 90225891),List(96547261, 76888145),List(85669763, 33548126),List(32850022, 40052923),List(57774988, 66459808),List(88994546, 71355032),List(85542991, 54146992),List(41179746, 34498546),List(56835929, 98093561),List(72894110, 73431475),List(81097524, 6325129),List(38379009, 8843867),List(97477590, 64120982),List(43154036, 3055091),List(18903938, 54932493),List(35995044, 66340472),List(83662385, 80975571),List(47143042, 94293856),List(83478957, 68205858),List(53409953, 79498683),List(43855439, 52716930),List(58812868, 7480317),List(95907752, 50841917),List(14678750, 31119803),List(55912146, 71308104),List(73477844, 54846437),List(42837327, 54701007),List(1674285, 69346252),List(34339330, 54716661),List(52908574, 69599879),List(55417102, 37277428),List(13045123, 73717309),List(75643530, 38518951),List(51585431, 85076872),List(89064924, 48336598),List(17251946, 94290768),List(1719394, 95321087),List(63141362, 43002735),List(27719703, 72195257),List(76558345, 64556153),List(45567507, 68438844),List(73749881, 98239198),List(74388330, 52120542),List(36142187, 5643802),List(22319159, 7186876),List(70581229, 79065306),List(57317947, 12809178),List(15954508, 27714796),List(2300553, 9916553),List(8530094, 88689849),List(55990789, 89479206),List(4999753, 61721485),List(29393813, 25742902),List(97573385, 84955926),List(95259853, 25266081),List(24073298, 74190555),List(85424579, 79515288),List(79749348, 30451973),List(92223412, 62059715),List(89567769, 47104523),List(50759294, 4923846),List(81804174, 70972473),List(23756699, 54123535),List(13503995, 46860294),List(42286623, 89546569),List(13177928, 71504543),List(1835297, 86938084),List(83696724, 84307431),List(48303327, 6596238),List(5481546, 15338689),List(97231402, 48954834),List(6270279, 69236385),List(75039071, 9476915),List(76344796, 35418568),List(49559069, 63362509),List(55155435, 96901331),List(93153533, 86181271),List(57922948, 1172121),List(7156638, 89276349),List(11070936, 58655341),List(97887427, 78471360),List(99177957, 85820973),List(49891776, 3680403),List(30778257, 50100781),List(56285498, 30883449),List(11323952, 21088784),List(77585661, 71792877),List(79018767, 19773739),List(6284314, 1919051),List(76105048, 25516800),List(5226322, 9011690),List(21421409, 16799419),List(38919720, 28018320),List(55512127, 5111681),List(86079684, 22524691),List(75193718, 87036052),List(68906802, 88085976),List(50439886, 84314826),List(2489742, 7477498),List(28482203, 26467898),List(680267, 59409896),List(70750283, 23638575),List(83152320, 28132909),List(44369045, 98257865),List(4680379, 72063720),List(57504427, 20898763),List(62515778, 54599318),List(38624879, 63352552),List(15255287, 54792664),List(88978302, 4235203),List(38072827, 86646552),List(33681287, 57748553),List(90599216, 15929092),List(11789637, 39738255),List(13726299, 76041225),List(19859312, 94933170),List(89351144, 80904698),List(42094859, 33289534),List(77074876, 94534970),List(75331159, 54317887),List(93810097, 45815449),List(43894654, 98833245),List(3638529, 31806527),List(74000911, 46360535),List(56458269, 10413139),List(78686203, 67113623),List(4479937, 84542942),List(28428257, 55474468),List(80477207, 97866431),List(32935616, 60887235),List(18908122, 29622880),List(15816047, 374511),List(43854541, 71639118),List(83296181, 79543588),List(27127124, 27600647),List(35793396, 90223896),List(94319148, 67511126),List(15049228, 6449791),List(46003576, 2491209),List(19362754, 37727604),List(99111318, 88897203),List(5769799, 60622542),List(23312379, 92109382),List(65880956, 48537444),List(82486988, 87261579),List(19452125, 25238427),List(33798213, 94687584),List(72902320, 28496110),List(56359313, 40601393),List(82519570, 86509773),List(16961574, 72206243),List(82693966, 18937516),List(97210983, 54285536),List(40168714, 52675506),List(72023325, 55855191),List(90454594, 9238409),List(73005694, 47276787),List(86987522, 74521301),List(27675479, 18635589),List(22032261, 26059995),List(9088223, 55876449),List(86397876, 71744643),List(49738121, 15353307),List(15107047, 74993501),List(34229265, 17894011),List(24988149, 11813519),List(30592125, 47815973),List(55533392, 83727209),List(17911282, 1986683),List(5646674, 6866158),List(14391228, 66896091),List(87493063, 18540326),List(6900664, 63584250),List(86847605, 67685663),List(35598627, 36286854),List(98850621, 47001524),List(25683548, 94522860),List(14261325, 12298967),List(32860995, 1095760),List(10491014, 99600132),List(48237514, 19987546),List(63764596, 86963826),List(13779589, 72378978),List(90306766, 34231502),List(11449740, 69620913),List(66343140, 88702952),List(38380517, 2066437),List(60086254, 88817849),List(57502827, 3835941),List(23920798, 9676969),List(25783132, 18140718),List(14065520, 61482209),List(23027018, 80996382),List(11444356, 43370703),List(3162280, 71162341),List(21006090, 16865878),List(48677204, 42307684),List(72384967, 18762141),List(23434570, 58243644),List(66707328, 83015173),List(376482, 52243569),List(12912762, 73397229),List(53393451, 35001800),List(64853195, 74994168),List(46160001, 92566051),List(14509647, 56047887),List(69863086, 12086105),List(67456560, 40274647),List(69671653, 42138206),List(44570531, 18801035),List(45700386, 30323307),List(61523200, 51163062),List(5158109, 51707662),List(13392040, 93889278),List(91098399, 78657946),List(48731031, 69500557),List(67437346, 74167615),List(66339391, 13845576),List(80977481, 86415734),List(70010594, 94468266),List(79863599, 23542824),List(40128684, 26938314),List(87857409, 76291833),List(6320919, 79700311),List(39439703, 10606682),List(25982227, 3302193),List(39907249, 68414197),List(98717935, 48234605),List(72449503, 20238082),List(89611852, 35227074),List(8811084, 3612541),List(55996288, 65683603),List(57006826, 77909438),List(82719169, 20186371),List(32177066, 60010412),List(36132596, 7686734),List(70763288, 14617110),List(98423140, 7222433),List(50823911, 53856947),List(28015499, 39574647),List(98647594, 72991164),List(69951845, 12558215),List(2762164, 8017823),List(77061355, 37497155),List(20104807, 89272069),List(41809725, 56763207),List(75882193, 34754577),List(23434853, 40859542),List(26672109, 9674177),List(67627812, 11528800),List(84206069, 52347660),List(31285430, 77919137),List(72352400, 87476268),List(41362430, 73014519),List(49870685, 53059008),List(1119995, 12772933),List(34490159, 49015581),List(83226148, 67694187),List(82026041, 65650380),List(51198794, 10394799),List(90585412, 59354094),List(70778530, 89090810),List(24366445, 13345491),List(33320178, 40650937),List(48783823, 2066870),List(60763928, 43585628),List(11755768, 4090351),List(73208764, 82199509),List(13601613, 20025712),List(68014384, 44952694),List(19356953, 35726571),List(91411364, 9669603),List(72062325, 54520687),List(20473142, 68633162),List(90201630, 96957970),List(2887977, 67904098),List(36565804, 9765517),List(14102990, 6554287),List(88555891, 78013778),List(47803137, 76160246),List(90104718, 69660291),List(68542643, 45938626),List(63701225, 64593392),List(42036913, 13381091),List(20917076, 30819063),List(55864847, 94130625),List(41630495, 98914825),List(12684196, 33150807),List(26992395, 80935991),List(19107934, 50257071),List(35262577, 72093898),List(11611103, 34015325),List(14423976, 16707584),List(95262159, 40448617),List(74950991, 62487671),List(44199481, 20793343),List(3363520, 14536105),List(61005180, 32969840),List(70130522, 17019502),List(69708263, 51589163),List(44347098, 69942244),List(32851894, 82401507),List(86516462, 19084804),List(91259636, 32171010),List(13397834, 74751777),List(85043700, 39453104),List(57920559, 78006179),List(8480245, 1160427),List(60884120, 2126133),List(41322383, 72036313),List(87752353, 79586337),List(72333940, 54358491),List(79841696, 61904845),List(4321578, 44573270),List(48846855, 55215373),List(27924231, 49648088),List(46894336, 60258300),List(15451325, 17852210),List(14302733, 38080964),List(17231664, 77017623),List(141185, 98289274),List(6179850, 47608350),List(72010993, 8828796),List(61823674, 6340926),List(90466167, 95312186),List(81217580, 1779204),List(50853330, 18538222),List(89550804, 77768196),List(39948724, 48681463),List(36100685, 79229959),List(10956342, 65802369),List(15987054, 56525234),List(71920793, 97798938),List(24681857, 38089880),List(34669410, 85155980),List(48125389, 10003318),List(39599862, 6850928),List(50676987, 90745754),List(47646631, 48706440),List(7554368, 60023165),List(80577612, 58959254),List(45317981, 77829039),List(76253977, 46635837),List(25910043, 99719402),List(50694763, 1231300),List(50514116, 57752384),List(23447837, 6018562),List(66108824, 70192681),List(10119331, 23642743),List(30408267, 24621655),List(24287726, 91779080),List(81648214, 82359462),List(18352329, 42930749),List(5878757, 23988639),List(94798361, 40804305),List(70286853, 57483330),List(48947790, 86709449),List(69486778, 28230191),List(17227172, 29458270),List(88680425, 17634744),List(94645029, 16364303),List(73921305, 49942169),List(65569633, 30962022),List(8820885, 26825184),List(69693862, 51373800),List(76739341, 56351841),List(4923311, 22235529),List(42823810, 2153711),List(44942744, 94520988),List(55146912, 75948823),List(28061830, 6004207),List(8472941, 97868334),List(27889136, 78642027),List(57776679, 7097255),List(84465463, 7027215),List(1523124, 13181524),List(22300091, 61470158),List(16870579, 25255456),List(93356159, 34113370),List(5451828, 33516103),List(7133845, 30468030),List(38834670, 41189582),List(61993939, 67261069),List(2605925, 38922688),List(52963955, 66930279),List(36210580, 86031245),List(86084213, 75034163),List(73552882, 37620270),List(26451585, 55942552),List(46431418, 94271324),List(37026175, 98151707),List(95864018, 71923803),List(47604067, 79653172),List(19801946, 81965706),List(19331272, 94615692),List(82269292, 85555918),List(48919805, 76819809),List(64875350, 88312686),List(93669536, 56805511),List(10022923, 112137),List(28288957, 24918762),List(36658612, 25133374),List(88739976, 92664135),List(32724673, 8595015),List(6614025, 35972471),List(86133676, 84472589),List(88466941, 16117476),List(22996824, 45656197),List(69660402, 12853465),List(52006012, 8531140),List(21844627, 62634984),List(22790481, 1345861),List(4721149, 30682590),List(17108618, 20783131),List(40780211, 89079755),List(80325793, 90983600),List(76498562, 61216609),List(17099644, 58554307),List(53977866, 64294002),List(45745407, 87015201),List(94272071, 57503473),List(45476902, 3107767),List(98350783, 75158634),List(35684870, 74010861),List(73948562, 31348929),List(15477151, 73260561),List(76407687, 51511652),List(29785663, 88545221),List(65268829, 4069754),List(47197616, 3974606),List(82952980, 44856921),List(54025512, 11056700),List(71147935, 44447331),List(36414238, 95630756),List(18732938, 41301619),List(74767186, 66238048),List(84617271, 30703831),List(82075834, 56295809),List(6926342, 47760662),List(15952122, 55639289),List(50399407, 83723001),List(75345142, 59383752),List(2260365, 5057032),List(92711651, 71178520),List(17627093, 93969704),List(22051851, 50168550),List(10221462, 59097312),List(41862916, 29780677),List(11226009, 56190184),List(74717438, 72058398),List(31191173, 82558906),List(26157031, 1630715),List(65057040, 49309573),List(37202038, 59674718),List(78172106, 51308374),List(18959646, 38575710),List(7786515, 27927048),List(14459484, 96239593),List(88024077, 81621461),List(77001549, 12540736),List(33787280, 49681349),List(32356603, 69898398),List(42278862, 51819112),List(22840314, 75226222),List(83372224, 18240059),List(89540622, 81863248),List(84828055, 1631966),List(9326607, 54567711),List(30067454, 2301586),List(67459845, 55717988),List(32441568, 13405363),List(9486714, 96794458),List(55090727, 13663722),List(42074586, 92896837),List(28352181, 16147128),List(50923874, 17663629),List(87792284, 34900476),List(22155521, 98782576),List(9372683, 99953085),List(1147181, 12764999),List(29389579, 33486489),List(611458, 30146572),List(16593501, 2168768),List(61327536, 20470038),List(6921287, 86050412),List(67221810, 63399989),List(76014343, 74750041),List(60730729, 29045940),List(8187140, 4252409),List(12172066, 33467154),List(73472288, 26795060),List(70255464, 36001169),List(39026076, 1659602),List(16238770, 85431085),List(64523353, 96231618),List(57607957, 82457025),List(22972111, 11659173),List(76948302, 4850181),List(76262053, 58895874),List(15962632, 7429978),List(85956503, 86413039),List(49402059, 83100179),List(57921151, 88570822),List(99295460, 43367999),List(99287018, 33032417),List(50317048, 49214410),List(36241064, 43719772),List(88515094, 71794763),List(9553228, 95998849),List(56098724, 60996531),List(63038891, 80252055),List(8248158, 14234551),List(47159464, 31937224),List(1393670, 50136525),List(1196366, 84563468),List(141876, 76590028),List(32396811, 31641866),List(36088078, 82505197),List(66277020, 51326596),List(10547146, 78770152),List(69893970, 88784719),List(69400605, 85788911),List(51756715, 34860054),List(33430423, 35663878),List(70719124, 71165551),List(69515779, 32018150),List(76191160, 74555776),List(98147154, 39729728),List(20918037, 11361027),List(99692495, 18438356),List(14895532, 95241485),List(9688848, 69238332),List(33335965, 75071772),List(2876365, 6702048),List(3756906, 58215801),List(82982215, 95099257),List(26656004, 19330381),List(11981487, 68829635),List(82292595, 24990426),List(79553407, 2438642),List(69574556, 4980905),List(90176531, 50390471),List(55911811, 46070962),List(69286050, 79394362),List(59176306, 83216710),List(28217037, 19597915),List(6709017, 81841550),List(62120441, 84219570),List(59358756, 48281357),List(33666591, 2060657),List(89865088, 39188002),List(85255204, 95460502),List(69485039, 64145581),List(60066130, 79093998),List(77823270, 5238131),List(91530596, 84607408),List(16586917, 3175617),List(95481458, 47956065),List(31480207, 33390173),List(45473794, 51132575),List(55176250, 41267367),List(4077573, 42519974),List(66280423, 77690456),List(68632732, 9201259),List(74875980, 14178234),List(38320286, 39713799),List(22257369, 68791536),List(86412525, 32693548),List(89370722, 4535428),List(62487495, 58131442),List(43916279, 58935397),List(37239777, 95660460),List(87789731, 92424886),List(390003, 54453944),List(16488032, 56578776),List(3429115, 80154309),List(9451282, 98680733),List(53538465, 37291847),List(21855480, 48845655),List(62533129, 2330713),List(41427368, 83142929),List(57176668, 94267702),List(15495871, 65661547),List(49143769, 80042546),List(46164587, 84460523),List(55305222, 7201392),List(45176892, 23787886),List(34009137, 46363482),List(84636570, 55781347),List(56203225, 36446840),List(77109359, 27406082),List(54444973, 15414144),List(30841919, 59530528),List(76736458, 40732963),List(69920526, 85618478),List(92442969, 47921493),List(65377897, 86523898),List(95901513, 88508856),List(77029244, 495938),List(31609391, 27971119),List(96508830, 16340793),List(25939074, 90561781),List(5320879, 90814968),List(11923452, 29073847),List(21803950, 13625201),List(60764320, 36105905),List(52917101, 62979385),List(2887423, 1393423),List(59742922, 31154852),List(34455509, 52758410),List(49734749, 49597164),List(51510257, 29009146),List(50480984, 72116030),List(98359948, 75690996),List(27297243, 99076983),List(26735124, 69172561),List(33117722, 10922320),List(45175674, 15035556),List(38203934, 43704143),List(76611755, 44481057),List(44834966, 82370054),List(21196087, 99809564),List(34315156, 72838192),List(91794918, 31222210),List(28824480, 11500602),List(38727373, 96775946),List(83166537, 11712775),List(66422848, 82995156),List(84456497, 21791478),List(81865366, 74937923),List(25066415, 32926582),List(44953231, 47849363),List(3358137, 14346120),List(98399063, 98430684),List(25212830, 6502686),List(16780983, 37745858),List(96640269, 95326066),List(73109031, 80118836),List(70114560, 42250976),List(37923979, 90917491),List(4379991, 72449688),List(56740087, 71849771),List(78629838, 76939075),List(39874261, 57752740),List(54437992, 43483192),List(13080974, 63978041),List(83873629, 69553478),List(2477801, 27008350),List(39460703, 7605314),List(47483580, 54341722),List(36273415, 73492761),List(73044809, 54384211),List(56535044, 86325992),List(62380849, 45405227),List(85059424, 54915499),List(53020036, 56196515),List(81188874, 8345807),List(95259643, 70750308),List(70132301, 18970718),List(75675198, 12388354),List(9014492, 80674599),List(79458941, 71422100),List(76478102, 79149514),List(97116468, 57724194),List(88585667, 88565195),List(6366846, 1925881),List(86468149, 71459078),List(79066844, 78817335),List(90106088, 33149794),List(1255724, 21615101),List(60394073, 7771556),List(93209289, 98018311),List(34388657, 34976793),List(67217386, 81546939),List(26670337, 8028312),List(2447103, 20241348),List(88907566, 86010957),List(92316575, 40364134),List(55256512, 80591319),List(49236300, 28138710),List(69161321, 32170384),List(16415593, 98996648),List(84663325, 77797307),List(67264004, 40160017),List(28697430, 651236),List(95862240, 63184023),List(7908756, 34052446),List(41306728, 36556324),List(27388865, 29115255),List(25020337, 65100269),List(47936121, 48566233),List(92190075, 79424339),List(70575303, 16206129),List(47505012, 52718056),List(5261071, 60388379),List(56105344, 44908676),List(86105837, 14013498),List(97067366, 88658281),List(38841087, 980434),List(95419524, 37231137),List(94587539, 88236575),List(51490778, 27123065),List(92879009, 83316457),List(51406753, 88480146),List(18260754, 83831787),List(32048387, 78942633),List(781992, 77893191),List(86805962, 11481313),List(54198564, 74220005),List(50464251, 41678488),List(52938973, 67841609),List(36036354, 32824139),List(37233453, 90159851),List(41778963, 41469888),List(67153306, 29418700),List(95628798, 15067422),List(54300727, 20589177),List(99770389, 93146835),List(54893272, 59412909),List(20689976, 33377690),List(86816107, 10087322),List(7097937, 81835944),List(44761991, 15364340),List(43968164, 67029385),List(49797617, 33175839),List(61142629, 92768244),List(79325967, 56878017),List(47998558, 49501661),List(94801031, 96022137),List(74493644, 8942308),List(99119001, 31481222),List(91473679, 40271175),List(79409348, 9700836),List(7902962, 38156995),List(30487229, 45287704),List(98821229, 29563512),List(42549779, 6477808),List(30787824, 10964554),List(96205772, 26625475),List(32045829, 64062561),List(44131606, 50217705),List(97289698, 2445797),List(10119231, 75782345),List(33334334, 68411045),List(64296008, 73270047),List(64810192, 79917845),List(42959996, 37284377),List(97769298, 52352049),List(29470719, 76150618),List(64548962, 38160691),List(85261680, 16863776),List(95247967, 1656363),List(74723729, 17136806),List(92865327, 80815401),List(83519269, 35563408),List(15013320, 48550127),List(79270614, 62675089),List(41354081, 70970790),List(30911662, 15671083),List(33726429, 23916990),List(64317480, 21127200),List(23429286, 66403893),List(59709576, 20010157),List(13011057, 80612626),List(22165742, 30273604),List(52796124, 13781886),List(36672619, 6044022),List(38619153, 18199645),List(28947510, 88499795),List(14332214, 93846485),List(3356540, 34686833),List(12727106, 59835245),List(24183570, 49979982),List(18496915, 40078506),List(10933489, 70169287),List(52135580, 89206681),List(66137613, 53097157),List(80562186, 97754854),List(39981313, 89143000),List(34586348, 50751975),List(39623491, 13710872),List(77021557, 49204583),List(55217067, 71415427),List(15339123, 89440609),List(60054962, 35309635),List(1175564, 31649785),List(33864681, 11319661),List(84164520, 21105984),List(83194958, 16067683),List(88212068, 48517702),List(6323508, 8235923),List(50012502, 91988838),List(22726840, 19909204),List(15319298, 4247424),List(56748566, 65022100),List(44395633, 57988601),List(14013519, 9541936),List(48360952, 40087294),List(76420422, 39037510),List(51620479, 74972443),List(83175943, 19381354),List(23517324, 4592923),List(89570097, 79239706),List(40382785, 83081283),List(56118130, 2626976),List(13981713, 76413944),List(5775832, 38810997),List(39148305, 11283734),List(55865075, 52622976),List(18074795, 73768658),List(42172488, 57127741),List(26653053, 18625495),List(75305913, 17078150),List(81822226, 31675052),List(83986616, 23210304),List(90093300, 12600662),List(75107657, 63424495),List(54158859, 40970806),List(31852053, 53419684),List(90505029, 15927491),List(31096557, 56460472),List(44052662, 99957200),List(8811811, 68609246),List(12031278, 27052754),List(84724546, 91962491),List(83774127, 92871666),List(61973767, 55264476),List(68213827, 9648703),List(50225609, 64125414),List(23019025, 35185806),List(83984833, 56214068),List(50479764, 45181199),List(20724361, 35997021),List(83062630, 31568962),List(38500961, 53645509),List(46071763, 75312007),List(98731434, 64135558),List(14931395, 54937145),List(50070938, 74951567),List(50942946, 52014790),List(23360678, 10272560),List(23400431, 40347633),List(86110495, 5731290),List(75375820, 86484288),List(49600605, 74961267),List(64860281, 50559306),List(99427182, 65269831),List(80553138, 6252346),List(96433415, 44294780),List(26359267, 80569595),List(39502619, 66698674),List(19588645, 56212362),List(48930761, 22426991),List(47861361, 74770005),List(61046532, 32662596),List(15381981, 57953691),List(40441655, 22311306),List(33204254, 37489007),List(99993527, 16318820),List(34593382, 96682886),List(25654314, 65998423),List(68758021, 36504568),List(81899711, 19074227),List(49946070, 14522806),List(61860681, 66601911),List(18315352, 38493465),List(28872711, 50555152),List(10692148, 8185199),List(74724006, 94358448),List(31735250, 90210291),List(17104392, 72594716),List(96608891, 13676723),List(11733448, 64327613),List(12751140, 56522944),List(57100042, 20850870),List(24150252, 69296094),List(6418613, 16136373),List(39488774, 84935386),List(99428844, 79100372),List(61625301, 7023662),List(15463866, 75098669),List(40572776, 92431560),List(7940995, 87156572),List(43339340, 8375276),List(62066408, 35882345),List(32002066, 74041762),List(14081432, 44344394),List(16662920, 63000094),List(14597099, 1393467),List(34378984, 20661919),List(7383179, 16313055),List(64246218, 17813172),List(8573303, 34677443),List(76529653, 44967077),List(84906519, 18715903),List(83602948, 72368547),List(55462351, 24136583),List(98240278, 3848401),List(80718596, 52874672),List(59582341, 5317982),List(22861638, 25203489),List(72603249, 65194024),List(48796828, 22100187),List(97237612, 63917799),List(21111179, 76927839),List(13735162, 22777439),List(20436296, 97838257),List(6324683, 64557072),List(51336324, 90141204),List(6290496, 16938580),List(2233793, 40190636),List(80879792, 28858191),List(23999926, 91054908),List(52236399, 82257805),List(74864226, 1235298),List(20251516, 12713551),List(57705745, 95237294),List(43540958, 9117321),List(98841589, 42878600),List(12159940, 11341727),List(73969983, 7046303),List(81342230, 2197651),List(92248209, 59069460),List(27895306, 32334068),List(86003577, 15471796),List(8207381, 78585475),List(59519989, 74403162),List(26004105, 77745348),List(17737866, 22966527),List(78484954, 81612547),List(9002638, 34707539),List(6572616, 64143520),List(26319614, 24812563),List(8738548, 98666296),List(24349088, 10626187),List(1462791, 89915437),List(88856512, 97135104),List(18353442, 16466380),List(87199359, 68505290),List(57424431, 89234692),List(25941904, 962917),List(63680612, 62406249),List(55268243, 83648035),List(96535178, 17577170),List(42248662, 53055428),List(29505204, 25787295),List(78412031, 71558386),List(80971294, 44365901),List(41430366, 67149359),List(42436803, 60317547),List(55036272, 67093448),List(75230085, 71463137),List(79856253, 8975174),List(32563851, 75647721),List(65046802, 47559685),List(2618160, 96296032),List(38835386, 82304561),List(73922661, 52080812),List(50661891, 81310559),List(32139840, 59098313),List(76861258, 65025198),List(74960776, 41689595),List(38469565, 11329278),List(6389687, 2432588),List(32302387, 69136684),List(79744512, 13116536),List(78161234, 98822295),List(37875906, 49634610),List(1512511, 48854901),List(92158484, 14792901),List(624042, 36831753),List(28671527, 87543082),List(78849343, 62156256),List(70688507, 74312413),List(14831599, 71956316),List(34822657, 42219824),List(68672539, 31414188),List(23945972, 65115103),List(96681812, 55321653),List(25347376, 68772646),List(58042728, 18256970),List(22529040, 7156872),List(12451013, 17911939),List(38224706, 68700364),List(82905150, 92859009),List(1206027, 83131607),List(61902882, 15955725),List(6990098, 90165596),List(58412173, 77606356),List(39665884, 20631611),List(81913630, 65354546),List(64920430, 31393133),List(14364242, 45430374),List(80740719, 64403841),List(38114392, 31767109),List(7415051, 29070862),List(69878045, 60895167),List(24213594, 75365187),List(74158757, 83486580),List(34101888, 97185741),List(34404435, 20890179),List(7072375, 12915985),List(27940391, 82978601),List(80582828, 30430826),List(20763932, 41144022),List(79599839, 7723953),List(17535655, 59439491),List(64688301, 30943637),List(76454508, 97368948),List(99270133, 88567027),List(33206320, 63088003),List(37805842, 20809682),List(7484671, 77769399),List(77269025, 17951673),List(40217197, 88305260),List(78939046, 82934233),List(45497897, 10884078),List(21771728, 40271918),List(264291, 30665124),List(97234713, 84892467),List(45211483, 63338335),List(19405313, 11652419),List(413222, 42108295),List(18912891, 96265639),List(72177605, 38969617),List(40174771, 96073401),List(2540694, 55285537),List(28346654, 27072610),List(32451375, 36242947),List(9744843, 65746038),List(56856305, 2187200),List(16669175, 60046541),List(14091128, 72890392),List(15602871, 80921323),List(49281900, 5050896),List(19447426, 32564942),List(34821201, 28676208),List(33070887, 39128915),List(33527699, 80386989),List(86826680, 75026003),List(33315679, 57635974),List(58919389, 58961601),List(5585359, 34052296),List(49071745, 96837688),List(87621320, 16563754),List(18427298, 89114216),List(49423409, 32996547),List(87207500, 91427438),List(20194557, 53787390),List(29312892, 94029667),List(60159729, 38465843),List(38340179, 54522806),List(2807821, 92053760),List(38838644, 66343869),List(64622219, 46847737),List(95316716, 43049420),List(92223879, 38104756),List(55084865, 20252325),List(6100777, 22749444),List(48172891, 69407575),List(24941527, 93966232),List(66641623, 61322492),List(25036164, 25186578),List(5924442, 48320601),List(67207608, 57763872),List(68578352, 5746133),List(88138871, 55262547),List(29941677, 10542290),List(69078458, 9466283),List(69046706, 59693003),List(33233842, 23578128),List(2569986, 48927780),List(27302079, 59369221),List(86970967, 29452924),List(14202940, 83029993),List(77874292, 60888358),List(31743574, 89911393),List(85280860, 45696815),List(36656501, 32048321),List(35442670, 10657860),List(3351717, 43472021),List(47513125, 69912918),List(1803925, 51416858),List(27167351, 11267242),List(53624435, 9843008),List(44623550, 70166569),List(44868504, 85497159),List(77614162, 68148788),List(54725584, 39452907),List(60865987, 74774039),List(54650019, 15499122),List(31386620, 70543286),List(44458730, 74280127),List(30091528, 3696415),List(69314767, 1446805),List(58428681, 16708396),List(82020155, 12134562),List(68278522, 18602369),List(92834471, 44148606),List(78742388, 82931874),List(68947608, 59961957),List(36647328, 14393732),List(59800871, 22306384),List(80845479, 17381104),List(10195370, 18770374),List(99251941, 83633358),List(73038764, 84134776),List(75242508, 7776998),List(2254223, 19795160),List(41591121, 93171239),List(23069745, 97956815),List(72833060, 84992155),List(66793656, 41913210),List(91044615, 36280142),List(95638813, 96288040),List(7287694, 3389989),List(39811583, 75946004),List(9396339, 41947287),List(14852342, 28769989),List(93001436, 67077914),List(65185362, 3592320),List(64040954, 43911783),List(30895851, 96886322),List(38779664, 76447033),List(6888890, 15498746),List(19296622, 45970210),List(96341708, 98215891),List(70796039, 43876750),List(97224386, 53750278),List(25523597, 34864298),List(52844841, 5707795),List(6630073, 28100320),List(79787695, 98841026),List(95716039, 12366725),List(90217467, 98332568),List(1245828, 64809631),List(15636695, 74460466),List(72958321, 28189643),List(39828792, 53902329),List(89801990, 64002243),List(58158004, 59321786),List(93529632, 67341125),List(87140843, 31215408),List(50698199, 48716920),List(78464097, 98010612),List(13213284, 94165033),List(70742659, 73243224),List(79919648, 61570356),List(38360444, 9041213),List(67771840, 33507213),List(46182773, 35256159),List(9264352, 13844945),List(82754572, 93549197),List(25634558, 96099479),List(2098244, 53170497),List(31417889, 80287563),List(26612700, 26867201),List(29025841, 47222511),List(84629571, 87463208),List(88812721, 53885506),List(79889953, 59649966),List(68774272, 66024946),List(46004782, 23400019),List(65369916, 92240209),List(76641034, 21064154),List(59798573, 27516730),List(44020848, 34757832),List(8163665, 32042376),List(48983759, 18465903),List(8480759, 92097126),List(4557819, 32707076),List(32610643, 73436222),List(80798621, 9446180),List(16497138, 34828997),List(1341652, 76074331),List(85044313, 72990657),List(37967386, 64670922),List(63681331, 60270260),List(53332080, 71669438),List(73106166, 85282269),List(1230759, 90706813),List(25503061, 88425718),List(70085018, 53808053),List(37080777, 23688980),List(57926927, 25024864),List(81629165, 80837307),List(5072029, 75657234),List(72713333, 75191160),List(6602865, 82079504),List(89658596, 23876346),List(75960061, 89447604),List(31775975, 44542330),List(82321981, 76148124),List(18655121, 90724595),List(435886, 96210938),List(58771677, 76504559),List(94790642, 78167250),List(10644814, 20427302),List(92302879, 37276835),List(91384829, 34572051),List(8686794, 7092438),List(83095149, 44899592),List(46373789, 59047616),List(70031690, 79371369),List(60220220, 12830321),List(27903649, 82609482),List(13778210, 98764011),List(4818923, 24859383),List(49631350, 66623677),List(20666013, 59129516),List(10923526, 23049962),List(46671054, 28517817),List(68306745, 91852498),List(28867142, 64175376),List(69539816, 17963426),List(32405375, 47780536),List(4188232, 4331851),List(89259553, 83564068),List(68949828, 79256236),List(74590878, 52772134),List(41801354, 43055660),List(94129279, 37422464),List(12470735, 23389555),List(6405309, 56978691),List(68045774, 99231658),List(97406863, 9431847),List(49400369, 3335860),List(40580908, 54419414),List(69891309, 50057524),List(57317012, 17447917),List(28649075, 21455970),List(18952043, 43989049),List(54241784, 39325928),List(93181789, 78661616),List(83676138, 79398194),List(13678447, 84241081),List(79358801, 77190089),List(5349914, 76670578),List(11813400, 70198970),List(63718878, 36755051),List(45252566, 72736044),List(40070322, 56560338),List(38658839, 28325296),List(4708867, 9721565),List(12154917, 94289529),List(98048170, 28877417),List(96257760, 68724803),List(80221639, 92079623),List(19868873, 84086855),List(84251467, 29792210),List(62481434, 55290190),List(82614011, 75872569),List(82894169, 40245957),List(52905222, 5155754),List(73077115, 9451227),List(5264146, 3736961),List(23644465, 40330499),List(56634749, 1240900),List(64023975, 66210515),List(95131600, 80243934),List(94300178, 61762008),List(24596548, 28689834),List(50299669, 46204060),List(8103798, 89104978),List(92538853, 20361668),List(46815173, 11622107),List(99566856, 2156628),List(56546676, 92056011),List(82526594, 70166952),List(45888710, 27180948),List(61727700, 76460710),List(92260355, 3551478),List(28333115, 27424983),List(9279723, 11138086),List(60513083, 67183891),List(37629854, 74979287),List(84817412, 47774677),List(4608053, 17052173),List(3514795, 21748431),List(7502940, 2342004),List(75603477, 25293585),List(25543359, 40642067),List(9608961, 48187336),List(96177395, 84691903),List(15386897, 26768396),List(64786066, 91077032),List(75117883, 88814010),List(89314872, 8279625),List(22042405, 16826804),List(8091672, 21266500),List(12052537, 79975391),List(7429903, 69365088),List(78919428, 86532401),List(70003586, 78878070),List(26247532, 37549814),List(69807700, 48079551),List(87844444, 9803395),List(8690032, 63756451),List(86446892, 51746907),List(20966464, 52387805),List(79479993, 72921291),List(40459144, 26353386),List(58207150, 77188022),List(80661633, 21108442),List(83209168, 95432712),List(71862921, 71511420),List(79176419, 51653),List(25729745, 61475684),List(21777884, 34158553),List(85496920, 257900),List(71754290, 32627533),List(45758992, 10058446),List(71583968, 95805587),List(64473775, 54913938),List(6899680, 35682832),List(58478867, 18597448),List(10828543, 72455456),List(25686168, 56910629),List(76518788, 41037651),List(83385534, 36299322),List(57928619, 14326834),List(8210153, 40413654),List(49942519, 23738241),List(68532011, 19408246),List(18203128, 23464919),List(93701319, 52069155),List(2960080, 10823342),List(65849362, 19523324),List(74935130, 55403827),List(85596055, 46097774),List(91035221, 19980990),List(82993648, 60665530),List(54971291, 96066078),List(51581779, 88472977),List(42438979, 50874543),List(25061710, 35991869),List(38017486, 44363273),List(33583493, 63943142),List(60628800, 97101221),List(10953066, 20759931),List(10096292, 42230394),List(77927383, 8802620),List(23199798, 50110118),List(86113684, 85354736),List(70778829, 82455687),List(31418581, 6321085),List(23825670, 96342360),List(18630554, 8272078),List(4396737, 3799088),List(70821153, 88683414),List(4873676, 69574330),List(67916697, 39836828),List(84321766, 22964647),List(87242430, 45184474),List(98069986, 97140414),List(68253053, 17155541),List(31903511, 94846075),List(95214169, 10036329),List(70571865, 33836060),List(67764807, 75174814),List(6533927, 91079784),List(1505083, 83758013),List(5305802, 1502739),List(49330765, 78324280),List(97669462, 51635618),List(81615754, 30363394),List(28987654, 44885254),List(2346551, 89389594),List(29549277, 79239486),List(15022751, 26159929),List(17577665, 55786663),List(78031331, 36549497),List(22287260, 64610326),List(63264441, 53167437),List(78697417, 29611514),List(44216979, 91042091),List(10489409, 74225623),List(58038585, 1900529),List(65006316, 73810860),List(59210514, 68993956),List(90466094, 46099386),List(81837650, 93600329),List(25983708, 90058284),List(99740684, 28055492),List(38859190, 73277848),List(2043253, 86157294),List(63324531, 85326615),List(65127312, 47346082),List(78115831, 97356932),List(74698884, 62609535),List(54105353, 31700968),List(52945544, 64354729),List(24425179, 88534887),List(51596035, 69130782),List(50713347, 18026137),List(60855326, 90804184),List(32646825, 17100803),List(27624648, 89408011),List(15842508, 79404061),List(24863698, 87289451),List(23080388, 30962575),List(70464956, 67723225),List(39566897, 74511970),List(31899978, 80898249),List(44257954, 73544636),List(53453847, 33933600),List(78074001, 33581826),List(13237158, 95377177),List(42141813, 96907959),List(53958864, 84088025),List(12473960, 62049318),List(73155864, 85863598),List(15620632, 24210677),List(25171674, 86384186),List(1293164, 3066187),List(17999804, 1478680),List(4652329, 67328732),List(32100601, 48952923),List(67455092, 17574665),List(61234847, 95177326),List(37611292, 34156818),List(78777060, 9224629),List(73477971, 8491700),List(80507122, 77823916),List(9977378, 50987173),List(78308882, 77036890),List(3905129, 54974891),List(20379156, 78300377),List(25172864, 10246721),List(63294494, 56964486),List(22023386, 27227604),List(20138969, 70454083),List(98883575, 73109456),List(40799365, 11736462),List(11855403, 19485672),List(59482222, 92761600),List(77147568, 23518973),List(56411133, 96246732),List(74249358, 23334840),List(95716138, 11025331),List(87090184, 94294628),List(47241046, 34370868),List(43214912, 9925004),List(9468151, 50809591),List(97672585, 80112833),List(21474833, 94271780),List(95216203, 85395968),List(53221441, 76496123),List(98803790, 71550134),List(87409846, 39030532),List(25296541, 83729789),List(24173124, 23873881),List(97374662, 64686910),List(49636642, 41887043),List(59849109, 1091829),List(42828065, 27289692),List(61827662, 57975464),List(90029135, 37907505),List(51612038, 28348883),List(74447338, 9112582),List(19752737, 48447884),List(49347140, 67083857),List(63025568, 36171024),List(71885925, 44129863),List(9203760, 97480778),List(8096811, 46289156),List(69312616, 45747206),List(3595756, 40500717),List(98656494, 56190647),List(48886018, 19504191),List(9118786, 85170179),List(50982748, 78759016),List(66663169, 98818577),List(53246548, 63468381),List(16882928, 9425615),List(15734286, 69210559),List(87826757, 11642317),List(74838840, 59945304),List(71097197, 41025870),List(89310428, 29699747),List(93766931, 45412456),List(2280644, 19092689),List(95756706, 23935420),List(72457943, 750592),List(92842863, 72480495),List(87794115, 56544382),List(10930591, 44792195),List(56209007, 24483532),List(35408127, 87454079),List(26750481, 29944680),List(43719921, 35451357),List(13361050, 79571859),List(70573576, 52968192),List(98525193, 56967880),List(87095492, 97279877),List(60954992, 72431585),List(36008877, 82013188),List(78325352, 89556737),List(90371887, 98065367),List(55291619, 31909040),List(60209696, 51850681),List(99391389, 9796785),List(12769362, 14482779),List(68581019, 1414870),List(43750929, 25222534),List(11135451, 75798266),List(83939830, 72327179),List(3778033, 33325308),List(60692170, 10728021),List(43260993, 4406297),List(33367474, 50318470),List(42339817, 42021254),List(38991621, 18126575),List(14593805, 64848898),List(2846530, 60268911),List(70172647, 9902905),List(24282947, 17273308),List(14934972, 35445128),List(92060748, 18825342),List(52313934, 57867033),List(54773359, 38404783),List(19061315, 31366826),List(20970551, 90953478),List(72003614, 49330674),List(99033083, 86706888),List(32002861, 78493268),List(9785973, 83927500),List(37256333, 88273058),List(15416507, 62041418),List(95598292, 44969005),List(34659427, 4408318),List(95107764, 78720931),List(35736503, 65382525),List(38747725, 41513432),List(4806071, 50501779),List(82677949, 7262009),List(94377789, 18993215),List(97468774, 52033115),List(42598760, 90872957),List(92460364, 55037186),List(521036, 39600867),List(72537631, 14830097),List(34016119, 60995853),List(60677053, 22733173),List(81599868, 5785602),List(2934670, 56615091),List(48532074, 40091823),List(20335310, 4367479),List(71546698, 86338503),List(39093759, 25262746),List(72051223, 84417218),List(1834236, 77483314),List(61175995, 28316216),List(41523293, 93475029),List(94304736, 55813418),List(82657340, 98651285),List(90269572, 66001678),List(136658, 11556425),List(27117709, 29308088),List(73372069, 94669049),List(7320928, 54516310),List(35002999, 8650670),List(85575000, 79588011),List(30299628, 5693748),List(97402633, 36172704),List(11450018, 55463615),List(19415699, 59259237),List(26873494, 72327904),List(98237761, 11964797),List(84557380, 69368668),List(54511246, 29263737),List(29182648, 99075220),List(17675419, 63667539),List(20498935, 83364715),List(25718499, 47242941),List(73631977, 75657700),List(48093837, 48293475),List(54306513, 5189775),List(15830069, 53156912),List(46046836, 38967574),List(53201382, 78296268),List(19530042, 70686596),List(20420775, 58219074),List(30814766, 52523536),List(69824384, 9447228),List(88293706, 75399102),List(41499040, 46081303),List(30133853, 95708998),List(22049737, 69975342),List(96000081, 1800981),List(88957970, 16475788),List(43426571, 11220325),List(69539757, 2543836),List(12439412, 69933840),List(12049799, 11068289),List(99206294, 26679472),List(18432324, 76194350),List(4971770, 12214545),List(372507, 8929419),List(52578283, 43928444),List(642336, 59409792),List(74346102, 85967429),List(26586346, 99076809),List(6807510, 875665),List(15826568, 91863918),List(64853826, 99715602),List(57482001, 60835702),List(74885114, 36530169),List(1532841, 22331196),List(6170888, 75256824),List(61571229, 2237645),List(74060735, 57277384),List(2281365, 59563984),List(44629633, 4477779),List(36726389, 70174154),List(13038715, 28922954),List(89700889, 65104373),List(49043155, 86992494),List(50425992, 32118222),List(71368253, 78804213),List(38042035, 36300673),List(89149387, 5081076),List(584966, 45540488),List(75486133, 6839536),List(68474882, 19432627),List(20977505, 21695816),List(87836245, 30098896),List(22297374, 29522985),List(74314629, 93162806),List(90932902, 24485517),List(71749125, 87183998),List(45886124, 80762154),List(86836222, 20278214),List(84954184, 71909093),List(95861851, 60451154),List(59737114, 43223924),List(1918954, 97360179),List(24989682, 61717922),List(52447551, 9432781),List(89382766, 68024371),List(95269656, 14126226),List(57124389, 57423134),List(8427265, 71493636),List(86045508, 91155958),List(14240890, 4761333),List(47401010, 46312539),List(56252184, 23032468),List(59779144, 44366439),List(47696872, 20852833),List(3849960, 47122824),List(64123388, 59564269),List(43797302, 55619548),List(57391424, 2938143),List(90249085, 18153659),List(7401252, 4535777),List(62621191, 82660568),List(14902400, 12971291),List(81330795, 76919748),List(29549832, 35754344),List(42100254, 73536409),List(34670799, 50713374),List(46635237, 23826441),List(24162006, 8509285),List(32418311, 71585011),List(16110021, 52051094),List(5168308, 98262485),List(17587632, 97429760),List(37977645, 89587902),List(59297214, 22474671),List(26031944, 52032083),List(15232375, 54848832),List(57599765, 86410440),List(16320594, 30284176),List(32314819, 75095232),List(27849707, 48304661),List(96151252, 73636508),List(11981406, 36250849),List(950876, 50533042),List(68816321, 76604876),List(5155033, 9870209),List(1711856, 59717041),List(28056622, 33751963),List(42182041, 92471513),List(42705104, 18222517),List(8771898, 66020806),List(12170373, 75979964),List(1851216, 73698128),List(98772950, 4477887),List(10889442, 88377524),List(65146137, 49988280),List(31736310, 10644235),List(50812384, 54583160),List(60193718, 47800468),List(58388741, 54805576),List(7288963, 67187991),List(30665994, 74667944),List(47655045, 2887469),List(74012350, 72037813),List(22730617, 16435278),List(9385872, 76731362),List(34298038, 16642409),List(13566093, 70657370),List(74590982, 9348003),List(14076474, 21163684),List(47183106, 38627579),List(70716035, 92650454),List(15322720, 35346280),List(25814158, 43530331),List(3370385, 27159157),List(19645669, 9988236),List(84201283, 3594733),List(47379469, 7917211),List(59284822, 967526),List(18135075, 74828113),List(7838366, 71313732),List(29933792, 34639000),List(69480296, 32863350),List(13013190, 88563292),List(58848903, 36179262),List(66932879, 35300667),List(48118519, 99226948),List(42911895, 99134897),List(27541169, 64115997),List(30572672, 44828127),List(53270940, 68849229),List(55823370, 20056672),List(78021076, 43839265),List(44093977, 12070717),List(66740911, 40367112),List(11447932, 26679442),List(37735492, 51989818),List(81307564, 99399551),List(90460506, 47901380),List(92694754, 26004287),List(19159605, 33917454),List(98323927, 61118108),List(93360522, 905518),List(35420276, 99674887),List(70748421, 16109251),List(78746404, 91561977),List(98795268, 52995138),List(18397075, 10209589),List(53414361, 80237589),List(72411606, 72154642),List(93400770, 1137259),List(42610358, 62791625),List(5372942, 33419804),List(81234957, 21103955),List(52875697, 7485624),List(6957879, 66666437),List(16955998, 83007076),List(48440500, 69369405),List(53709944, 87689999),List(31790651, 60346242),List(90859166, 60323687),List(7257318, 4906725),List(89427261, 97307482),List(66875756, 12617751),List(35346684, 68832783),List(40729677, 8818131),List(61966793, 17109943),List(62778400, 58266263),List(1014047, 31336548),List(25074595, 68493886),List(48548873, 85629698),List(55474311, 54633701),List(65490161, 61626253),List(21295530, 40316105),List(59630241, 28703314),List(45168977, 4798297),List(84368953, 2731586),List(95657580, 44294503),List(11121471, 84628809),List(60008688, 3740254),List(5426949, 42325100),List(73996905, 83770028),List(60032773, 47316944),List(17722408, 22705388),List(80465533, 79058295),List(74510099, 30100964),List(96407156, 34539085),List(76400927, 23322935),List(53515789, 7691674),List(84507646, 50946218),List(24759396, 22263396),List(80648187, 73593753),List(21370980, 27354868),List(47600560, 31199586),List(59321328, 5768821),List(63916841, 41918463),List(5244430, 65799534),List(70882538, 45229860),List(80279615, 45673058),List(90319727, 35574852),List(80976985, 63764613),List(55462120, 99404950),List(17246373, 43918174),List(51016701, 72341399),List(54225633, 27271099),List(99982023, 17571753),List(56358638, 1796983),List(48916510, 81732560),List(10127279, 2091935),List(38353077, 4166053),List(472511, 4386046),List(28255222, 7684865),List(25644926, 24455193),List(45178939, 83865489),List(37738508, 24979627),List(10576619, 94993513),List(66476429, 4818361),List(33568825, 194464),List(76788372, 72337191),List(42062376, 58136451),List(75895178, 92325938),List(79498787, 98949969),List(6556769, 95789021),List(93910922, 57312266),List(22178735, 78376679),List(97395383, 20273650),List(5105224, 28986328),List(53642535, 89288582),List(32120203, 57048067),List(37338749, 14427409),List(78945801, 51871116),List(61316033, 50123823),List(25835136, 59466576),List(19131738, 25472708),List(68731955, 71807409),List(27470071, 94736974),List(51380683, 99741120),List(80135947, 57593548),List(34398396, 81417745),List(6197849, 89872443),List(26934306, 65509992),List(62253064, 40163907),List(53476347, 94683715),List(12212734, 27905994),List(42301774, 22431835),List(76670958, 3817865),List(30232939, 22201546),List(58567564, 90595751),List(94370781, 54803092),List(43276665, 22931372),List(46175818, 48000992),List(1978256, 66449437),List(81200460, 93426550),List(90349085, 43997577),List(76279269, 10957919),List(60454056, 11205965),List(12836481, 85609560),List(98058593, 22027667),List(33895943, 75821916),List(12773256, 85767665),List(993168, 63542768),List(61632735, 69437472),List(89307383, 5489004),List(52452662, 2416544),List(95917835, 15825542),List(41903688, 17428670),List(3360166, 8887554),List(67587961, 81258509),List(79738737, 76502180),List(77864476, 76566844),List(9522939, 13831796),List(59863572, 28843804),List(77574364, 89516395),List(64772760, 37804959),List(73045600, 80088848),List(21608301, 30717412),List(98126506, 62525868),List(86177027, 34063194),List(54647008, 80876361),List(67688154, 61307792),List(68272703, 36810336),List(51394510, 68244635),List(31217107, 62487464),List(53980130, 4606495),List(11191203, 38013784),List(99853466, 75604791),List(36893669, 81403690),List(59784169, 52192039),List(79614455, 1045293),List(32863352, 21155405),List(18250289, 32974013),List(67844576, 4035763),List(18127959, 327006),List(69402590, 32154315),List(57471197, 5202994),List(56319377, 11576084),List(36907452, 38223858),List(85055912, 2969884),List(87374941, 68030378),List(32726454, 64576756),List(21539700, 19415817),List(49474063, 80248923),List(12002008, 7459162),List(959511, 42957509),List(19701010, 5186526),List(68595906, 63607903),List(8026070, 30431981),List(97275318, 42204800),List(54971531, 80364010),List(67192013, 73808612),List(3620448, 53046235),List(39252649, 37508644),List(52997440, 39812338),List(15555592, 83277507),List(54251330, 92397557),List(75582394, 68354022),List(33591032, 89260089),List(45195226, 41959518),List(11756078, 1382426),List(2748461, 62397638),List(65900651, 95470627),List(4675294, 45615791),List(74012978, 83865584),List(82955360, 99649720),List(4691290, 86978757),List(34237455, 49676141),List(5325943, 18729466),List(2743524, 74775011),List(50787786, 10112794),List(65226103, 14726989),List(90167079, 7809893),List(60030848, 6598201),List(37220408, 96250294),List(19415805, 39761081),List(31062012, 18948013),List(19002743, 39124713),List(40279910, 97785743),List(50207567, 57877931),List(85467676, 3711999),List(83429856, 18575021),List(74189790, 45686391),List(48823744, 1265064),List(34766666, 95439879),List(34500427, 86893879),List(85312143, 17047581),List(6341744, 22237833),List(32033311, 80944624),List(23141473, 39486944),List(58415441, 77459547),List(48805, 18776748),List(17587879, 3855395),List(24105633, 64967294),List(3484982, 89061015),List(18742081, 39308770),List(74712268, 65200155),List(52162475, 91587539),List(847213, 2251993),List(26367361, 13212709),List(18999169, 65166251),List(19771900, 34503220),List(14276742, 51098909),List(66213995, 97625295),List(34282808, 12165123),List(42160748, 67382842),List(14809819, 68728185),List(40178120, 89662363),List(69360732, 32173542),List(72115041, 4284736),List(83368714, 44591925),List(53209931, 27736960),List(91105587, 8986184),List(17621681, 81572360),List(92153475, 4111650),List(49967902, 22060764),List(27867562, 56988356),List(80356579, 24809894),List(66598724, 70188259),List(575011, 76819516),List(18450894, 99842826),List(73820375, 10082362),List(72480085, 26051671),List(40812889, 14187151),List(32415080, 48297099),List(28152226, 11219448),List(49391654, 14472287),List(94058710, 19998286),List(93313489, 85195075),List(37374209, 14732081),List(88540297, 976518),List(13246904, 57322608),List(4962956, 1961398),List(91274804, 31002182),List(11088035, 2802944),List(61513432, 58884840),List(20467656, 7165449),List(49124144, 637492),List(15791793, 28543984),List(44847337, 9829973),List(85211755, 64278118),List(97402108, 49938905),List(42554692, 83059459),List(97913033, 33533613),List(28021387, 98377560),List(78862857, 85007329),List(84401585, 10787197),List(19586903, 33801945),List(66923742, 11862710),List(62495002, 78326073),List(57592741, 81393185),List(67242022, 69978937),List(48968362, 96516088),List(28704952, 72314543),List(81177482, 34574593),List(70349669, 61872294),List(8003198, 43765654),List(98910428, 84173554),List(61622640, 90133277),List(55375904, 21187624),List(46873596, 58469378),List(83969212, 48700797),List(63232424, 43583350),List(54993675, 92171106),List(73522891, 94741273),List(20503658, 31271822),List(63923471, 25917689),List(47678774, 30264543),List(85445824, 39017213),List(57782254, 43556223),List(67657426, 45820843),List(26961475, 91132322),List(96078328, 73477521),List(54209330, 17406737),List(69675206, 79058028),List(47241374, 10286510),List(68409843, 7132266),List(88466946, 99868355),List(51859540, 6481008),List(96097406, 811776),List(7231643, 36266448),List(68536575, 55119133),List(60381083, 49914966),List(85896594, 9148152),List(9224902, 26407055),List(84003117, 60394026),List(62225978, 53007838),List(48599004, 56459271),List(19984749, 90411570),List(76046189, 88027007),List(59988983, 71053504),List(11890025, 19163902),List(85133023, 75591731),List(68276344, 53986243),List(46835, 7036864),List(3783721, 63687195),List(26696475, 45814030),List(3424653, 9543272),List(64462647, 67521537),List(38228021, 26700891),List(69895545, 9677165),List(47181100, 67417914),List(23002054, 75415704),List(45335727, 89608001),List(77741249, 49130752),List(35753844, 63557332),List(14017390, 73517332),List(64499175, 33491216),List(31553873, 175202),List(20676699, 27228099),List(50418310, 55553220),List(14524902, 77843020),List(70828660, 88976495),List(95739786, 54303968),List(79375445, 38452171),List(9231869, 67888339),List(14980492, 76789581),List(51145629, 70075323),List(53929940, 92634459),List(60946991, 66587497),List(64381858, 71820014),List(35447266, 17165083),List(43947716, 23783707),List(99873881, 23754107),List(80915017, 75953870),List(74075879, 69128396),List(28115745, 61322373),List(24075061, 44188565),List(77547802, 59368465),List(4471145, 33540516),List(35992314, 88298556),List(11721877, 36248342),List(82510960, 24297196),List(15929738, 45777230),List(17016915, 74807999),List(44880996, 98827650),List(56183819, 8597112),List(13114580, 34935502),List(92751535, 17162048),List(5639657, 95831621),List(31923581, 72300852),List(15598926, 519391),List(984023, 15990035),List(36472635, 20238370),List(64308257, 92629634),List(76805649, 41175975),List(85352058, 92156589),List(45048609, 7920054),List(84876446, 10687004),List(81731060, 88546394),List(31239445, 92301694),List(64190472, 95084658),List(73400384, 80198774),List(50234086, 58805817),List(31923063, 31324767),List(39930406, 27537598),List(44713548, 24732611),List(77691431, 22425041),List(50601103, 84449610),List(11869053, 3093884),List(23071596, 25962462),List(66911703, 92327525),List(51115059, 11401658),List(75962755, 64465388),List(57407559, 86660071),List(44252556, 6723168),List(18501868, 32365489),List(39346124, 1506582),List(90937517, 65001534),List(71343529, 28772109),List(37559583, 17791926),List(67315637, 64778651),List(43538436, 14686487),List(42236822, 90606665),List(28191775, 36168232),List(94237117, 67798524),List(81801075, 75557584),List(18150734, 39297347),List(65243233, 30507976),List(50298307, 26861965),List(37046400, 19053981),List(73175819, 16085601),List(67740973, 33693795),List(20993254, 94843190),List(48123086, 74256255),List(39494185, 81157516),List(35842794, 7887073),List(53217310, 30720460),List(47858124, 57090615),List(85935147, 55953807),List(75482344, 64243852),List(942226, 59339166),List(38929311, 62824765),List(13640768, 52268245),List(70425696, 23587283),List(5152581, 47995857),List(82985151, 56135343),List(56584521, 23432826),List(41758988, 76040919),List(70957054, 19967102),List(73130547, 71459548),List(50346216, 64995601),List(63602172, 81776078),List(72864998, 94699228),List(44726550, 15568829),List(75461366, 87516948),List(26890295, 26375635),List(6829733, 65016456),List(65381395, 96275810),List(16971512, 36695715),List(41923967, 8574395),List(65474970, 89132868),List(6933080, 68887502),List(31862726, 43700270),List(14295134, 18671362),List(94702668, 98770450),List(44823718, 17836676),List(80400437, 84433229),List(55146092, 58149255),List(92516631, 61463060),List(41077723, 81626539),List(28005779, 64972717),List(72802512, 74891399),List(48465620, 21090493),List(82537670, 56907181),List(36022012, 68839368),List(67969292, 58064845),List(61871116, 13259332),List(67763385, 92061279),List(78508761, 84402871),List(44521004, 41111000),List(46205740, 63256713),List(24800533, 34394327),List(94655224, 91071744),List(5918352, 8228389),List(86984071, 51646481),List(53155156, 98350862),List(52883504, 36147091),List(93269288, 30923404),List(79474618, 42611244),List(2619398, 40468745),List(65449230, 40293484),List(6140231, 68722894),List(18187482, 66097024),List(17291566, 45766437),List(54986465, 44464583),List(17281109, 48215168),List(38176645, 61743137),List(26654518, 50571301),List(70980717, 2896541),List(23283263, 88759467),List(67185938, 77070266),List(30370021, 27478233),List(58779008, 33628776),List(45747543, 21860673),List(9516376, 41407482),List(88281529, 17931759),List(16995548, 58704355),List(56169077, 93494486),List(70577114, 29109934),List(17632452, 82533852),List(13316344, 55737776),List(32859087, 18852148),List(40316738, 66261389),List(35343828, 66626263),List(22464469, 35597182),List(45478058, 32904601),List(53841816, 28835280),List(24256675, 14668191),List(66997396, 61813524),List(37450735, 47527251),List(50047318, 93869511),List(11382602, 59032625),List(93781391, 13209850),List(82780052, 88224605),List(42471058, 13617338),List(50474471, 5042359),List(66328874, 7867054),List(32799893, 98191762),List(93302435, 5068907),List(25291241, 68042729),List(53927935, 74104405),List(70245137, 14100714),List(51360896, 20848178),List(92046375, 24827204),List(89395829, 11499332),List(16603654, 58341121),List(58160283, 89793960),List(4542328, 26378213),List(71320285, 57851534),List(53494869, 43049088),List(33124539, 71292622),List(63235080, 34665967),List(40436662, 46080014),List(55778825, 23617910),List(37455989, 13204904),List(76690077, 74173976),List(92594939, 44673032),List(89901589, 19564511),List(86568929, 69272536),List(43819762, 6499248),List(39701468, 89552332),List(68039848, 5918656),List(21214538, 58456514),List(73777472, 31820906),List(4543905, 66891057),List(65859366, 13366630),List(9213271, 94299553),List(6190454, 91130333),List(30552037, 26239389),List(31675406, 45302182),List(2300329, 93588126),List(39684181, 78923870),List(17683653, 54309973),List(49342208, 18500587),List(17388840, 35049926),List(88667030, 21941051),List(45781082, 44540403),List(72027390, 56804221),List(73544058, 2223026),List(5775448, 99138473),List(85314946, 81308585),List(95482932, 80951376),List(50771591, 34644446),List(14295774, 17231108),List(69956535, 37374741),List(35911762, 6465023),List(3088805, 76465174),List(29882447, 99144368),List(46471278, 88361766),List(96248912, 51151530),List(89297023, 26539621),List(27914071, 18041254),List(86754924, 25472022),List(97466923, 28536604),List(47513285, 22191008),List(19561034, 21002195),List(37079288, 93463469),List(3266815, 54116115),List(47782461, 22057497),List(86566388, 94709889),List(27971662, 82910900),List(77261743, 67419433),List(81951799, 37553892),List(62915188, 2096686),List(52259129, 88233172),List(23283209, 10158125),List(5210923, 96791969),List(22130117, 77225498),List(14721282, 45427),List(40523250, 29114141),List(80252452, 44071609),List(95063078, 69897158),List(58549485, 12440767),List(42288190, 20669358),List(22784263, 62517825),List(74557777, 91917361),List(45182403, 45116815),List(19269369, 63616469),List(35079246, 58729108),List(67017755, 60827494),List(36197657, 77317057),List(71954605, 59409097),List(84984900, 34831984),List(76664442, 43847895),List(70269807, 31710055),List(55807310, 15311592),List(41007312, 80020552),List(24088472, 14494788),List(41940403, 43976635),List(49318955, 83192161),List(40143384, 28193630),List(31651191, 60583114),List(59115307, 64749179),List(63501048, 3886403),List(95961718, 92770749),List(87099299, 7354353),List(80822553, 91880957),List(91221620, 59992470),List(5779247, 74209998),List(11584212, 32323565),List(21547462, 79656999),List(94766299, 9736534),List(9053371, 78871671),List(62715148, 95728762),List(63989517, 17337466),List(53841187, 36686342),List(33374711, 28460658),List(1149489, 87836536),List(64498845, 65960084),List(73266416, 30070374),List(49732174, 22708296),List(63316114, 45787022),List(38191316, 85268692),List(65459932, 91997842),List(60893309, 63055212),List(50611521, 64387688),List(45334962, 59244299),List(73934991, 8699939),List(89423286, 44879966),List(82714025, 23844105),List(24881295, 51479608),List(96317009, 91382581),List(62786979, 91035103),List(25789612, 30504970),List(98216194, 26808797),List(40541313, 63541712),List(87419227, 74945268),List(5546380, 23597891),List(63396778, 82984659),List(25227426, 43950186),List(89725739, 75352281),List(60385016, 89254717),List(76968046, 10576941),List(27192697, 78997693),List(4288173, 11305314),List(89655778, 38336582),List(46153273, 16331006),List(32595325, 30419956),List(84540334, 56012096),List(81605966, 18507647),List(39749397, 52822609),List(70185305, 77739814),List(60437116, 14073729),List(44145738, 35692436),List(53745669, 26737333),List(69101095, 38614896),List(3358140, 32448118),List(52834120, 38683850),List(47091300, 99191045),List(42956801, 87971538),List(87770895, 32143426),List(60499950, 2066225),List(84444411, 3440547),List(18734665, 47146536),List(50648840, 27395511),List(23776703, 65679683),List(19465187, 7366),List(94092425, 48860213),List(36277358, 81618025),List(99225004, 88396853),List(22866333, 62956788),List(27808295, 85903159),List(70545740, 46217680),List(1213292, 52215303),List(59513664, 32977770),List(49933063, 54570970),List(82872553, 15348124),List(95878514, 21687061),List(77301221, 87819941),List(4412569, 90250362),List(32301849, 50661323),List(94637407, 46446787),List(30309765, 58778136),List(82952883, 50539485),List(48073976, 14731077),List(39111066, 61294972),List(2098175, 87220583),List(92214576, 56003650),List(20744270, 27948842),List(20004141, 98957583),List(73789093, 9428045),List(93384058, 28694828),List(3664039, 39761758),List(14013523, 30327841),List(93020974, 46345011),List(58939837, 57935295),List(19587007, 10356008),List(27645435, 25717541),List(80120780, 90667931),List(32018259, 57683329),List(2176419, 43217913),List(32364714, 26736095),List(2330907, 34435330),List(9420291, 40187560),List(77477647, 44565573),List(85781091, 800019),List(8614098, 89580780),List(40852618, 12357805),List(8042542, 47495015),List(79732480, 97439083),List(5329897, 62556980),List(67630643, 47511528),List(81402164, 60907368),List(26473655, 59031338),List(54190695, 92763941),List(83809112, 74381704),List(80674581, 39641019),List(39223584, 36833955),List(92496592, 80267824),List(31148549, 75633098),List(80760272, 64414698),List(22846965, 99290554),List(27424559, 5814661),List(79917852, 20081493),List(8260305, 2204915),List(29313849, 58731839),List(90439557, 32519565),List(14862968, 97075409),List(95776101, 81685731),List(88146101, 92252643),List(33504281, 25757655),List(19339874, 7215229),List(76502577, 82681662),List(71309622, 31540149),List(27790361, 77709858),List(42537525, 68817854),List(70945993, 34701586),List(10348074, 57352459),List(46305046, 46643536),List(28813120, 91174113),List(35693421, 13485845),List(57449479, 82161616),List(21377728, 77915722),List(95383224, 81542033),List(99497794, 16667637),List(4788286, 10542355),List(64467637, 67497650),List(17661508, 87504104),List(88138632, 72565211),List(50793749, 2015537),List(27506068, 77817873),List(83682970, 82279658),List(43464002, 35994946),List(59754657, 56290528),List(57276439, 74864075),List(23265381, 93812596),List(16340261, 19538424),List(90765102, 29419811),List(83787399, 47524666),List(24094616, 75239135),List(3559599, 18695265),List(34858853, 59409199),List(64610365, 10596146),List(63977252, 67840664),List(71354120, 72512951),List(90326295, 2793342),List(84734667, 28975416),List(8707271, 14419500),List(41721715, 96236356),List(80815590, 49091534),List(4230015, 82745507),List(95294907, 99400920),List(24786553, 32932237),List(43637025, 51534874),List(86831412, 65336400),List(73036101, 9865376),List(5182629, 98488399),List(88867853, 84877243),List(27715636, 51692635),List(38964435, 50804960),List(48151059, 66570354),List(41468803, 99726473),List(40825181, 34709111),List(47091908, 86439801),List(40779472, 31734459),List(61223228, 47235026),List(10577192, 69838182),List(6737931, 32415451),List(80867284, 4894481),List(90370368, 33828804),List(80564810, 45606514),List(48827552, 15729101),List(15709311, 69425484),List(21073745, 22312000),List(87228476, 49488338),List(74636527, 30727147),List(54504689, 48465107),List(64049272, 61920686),List(20322303, 52231072),List(4947346, 78522252),List(78858512, 69202548),List(67767295, 34370833),List(4263730, 904725),List(46478859, 68989205),List(13868812, 38768946),List(12926173, 94036234),List(77193229, 58813738),List(41119062, 60938035),List(62110999, 16754716),List(30119257, 67483935),List(34229414, 50694050),List(1330406, 4893553),List(46436364, 77331377),List(73290201, 12481955),List(75871549, 65463100),List(41011728, 4248399),List(38859620, 31929055),List(85955818, 77405718),List(20251718, 46410932),List(10103691, 43038313),List(24283149, 45798442),List(84981160, 93545227),List(83168609, 28907564),List(33815661, 40975441),List(29925291, 7082467),List(50425021, 45850272),List(65524055, 57370621),List(10429774, 87697182),List(65990951, 767412),List(45184509, 37044007),List(16740655, 61550556),List(50909448, 81580998),List(4866070, 12351335),List(39955146, 70764819),List(49312997, 41254882),List(52816089, 61288098),List(7981701, 27338410),List(56938980, 44674775),List(390738, 15456375),List(15025868, 14712450),List(93708081, 58667054),List(81292933, 22528564),List(90426474, 23467187),List(46286768, 10311404),List(76003981, 67661355),List(3153337, 61166682),List(34948616, 4095104),List(33033619, 4917816),List(9608357, 13467382),List(89911132, 21360898),List(52914532, 82748393),List(73034239, 31326225),List(95941361, 38402762),List(56200779, 40682643),List(97527611, 7798465),List(89068724, 90445079),List(41944803, 48924230),List(29660629, 91959110),List(56181120, 73402038),List(92717375, 90109283),List(64038088, 24137523),List(19448818, 7319699),List(49841037, 11051736),List(80841729, 43899615),List(29735341, 23517185),List(28154955, 25783297),List(48231385, 72524214),List(49564948, 45129228),List(92639921, 16447577),List(84803143, 3539817),List(3510114, 30985305),List(82856031, 32195804),List(22312106, 50496171),List(85370281, 58953877),List(70869702, 47324219),List(85319278, 12479714),List(30103005, 53521817),List(53979495, 6118779),List(98965907, 54984100),List(11887040, 3257130),List(92134353, 84909689),List(37720897, 68662134),List(26050434, 50868053),List(68371396, 2450498),List(78114686, 45033217),List(67724605, 24593340),List(49571177, 8996065),List(79025631, 66994387),List(55209458, 29310449),List(84963562, 14709640),List(44893257, 58648619),List(8361014, 2526758),List(15808215, 94133745),List(37071561, 54885096),List(42519662, 98050892),List(53003438, 62860164),List(5751784, 66525072),List(96906343, 64539569),List(98522892, 25923722),List(51991322, 13000500),List(78977061, 64007620),List(57267185, 99029133),List(26932418, 60506098),List(5379987, 86401588),List(89274603, 11826093),List(18345685, 29298153),List(47938158, 92370809),List(84829947, 8045405),List(25374994, 35009457),List(83562970, 56812005),List(67807929, 96405232),List(33078275, 27068923),List(40722748, 76735796),List(11356630, 89291660),List(5780126, 39058959),List(75016041, 9422678),List(94988340, 40968246),List(83289774, 93466227),List(88903657, 69321827),List(82059373, 54554166),List(79167135, 99767895),List(2282254, 98704954),List(2348205, 72707945),List(54045814, 21571107),List(44366940, 49568202),List(71851692, 24073277),List(35544289, 50088155),List(76921494, 90715510),List(15024971, 21693108),List(9919580, 3667832),List(94670007, 21148388),List(67564947, 11829981),List(93504933, 88656005),List(26331918, 46397842),List(79007333, 51320929),List(94931828, 75570375),List(74337786, 46283420),List(5896761, 1827408),List(96101345, 36610060),List(96264030, 79237585),List(61086589, 83116509),List(12371489, 85381506),List(34453921, 76311995),List(11960258, 86939350),List(86156406, 13643712),List(88671284, 77430963),List(31506809, 17015945),List(64438700, 33109118),List(8346851, 87524734),List(3266024, 47324320),List(32876641, 64846352),List(81692675, 79367769),List(44070776, 85066957),List(20063577, 57915300),List(44042148, 73179173),List(95904548, 85564666),List(76590531, 41450470),List(21848629, 9433090),List(54667618, 25489653),List(78085521, 80799427),List(33090996, 80115356),List(2512281, 62321943),List(81723571, 20901237),List(60060022, 57627979),List(18827006, 23478656),List(95716715, 46303057),List(57018280, 31419291),List(68496129, 78699493),List(57083004, 79061182),List(57622450, 18962623),List(79943548, 56789694),List(12084415, 83485539),List(50036836, 53531180),List(1657884, 3808429),List(76843087, 41636066),List(80797826, 46215900),List(380188, 46701910),List(38591769, 37658425),List(71489910, 37328496),List(71195438, 4899782),List(19545587, 78824058),List(16719355, 5652953),List(24912078, 75749815),List(60505954, 32582718),List(8370250, 13043914),List(25907510, 83404934),List(57041724, 8842882),List(32529722, 30299083),List(8499104, 6651890),List(86670788, 83560495),List(9979882, 23308082),List(67241259, 93929088),List(52173337, 79088325),List(16813055, 61133864),List(16578859, 24719954),List(38006596, 21065867),List(53815032, 25993166),List(66502600, 64469161),List(32977744, 54143377),List(16627711, 8582248),List(7341938, 4674920),List(7768647, 20095894),List(35179413, 24461583),List(75292522, 40669258),List(92673409, 35962846),List(89710043, 87013802),List(72268092, 20361654),List(4574693, 7912090),List(19679845, 63497361),List(76569453, 60522407),List(22228563, 16091109),List(24629061, 11454347),List(8802146, 13856668),List(10813149, 26678389),List(50911060, 48314241),List(78619546, 2078733),List(44388185, 30938467),List(99122071, 1793193),List(90421255, 31562234),List(49867533, 14770742),List(68950369, 76863118),List(50831090, 32884822),List(75200905, 64750950),List(54799720, 82664189),List(56677615, 44055574),List(93742463, 37280500),List(19441361, 82133719),List(98129877, 18383635),List(3665852, 74710464),List(47473166, 76377384),List(83986061, 82721074),List(54440263, 17033975),List(20373863, 55249869),List(63295538, 79610687),List(92580617, 17041608),List(52388193, 53101445),List(52344679, 64493346),List(38756269, 11210110),List(11814857, 97119563),List(81100805, 96351235),List(45109653, 89565211),List(58086103, 19143693),List(6279293, 15999073),List(41849726, 14822516),List(71556094, 33124617),List(78901095, 74931254),List(55953242, 60379233),List(7384166, 41248626),List(76892833, 47974835),List(65104583, 70772673),List(29768633, 30873730),List(86626052, 88900097),List(23249761, 63152845),List(683078, 70759991),List(74740470, 8111121),List(32278146, 19299387),List(99148123, 95556878),List(83991083, 80699604),List(30514484, 1282703),List(97640286, 85786378),List(76435964, 47552152),List(59046545, 23786620),List(21378543, 21902538),List(18410818, 20467120),List(22149497, 20398946),List(60824963, 27413912),List(23784590, 22764659),List(4984439, 51734543),List(57269163, 98176742),List(18361625, 44484731),List(69466264, 9243402),List(80116984, 26579816),List(55686723, 88763620),List(54579768, 85354123),List(40473507, 80311739),List(7252901, 94970413),List(41281493, 59116296),List(78333228, 6010529),List(88792911, 89115329),List(39498688, 39864052),List(29559698, 8101465),List(42218899, 82467358),List(46279707, 50044639),List(4656686, 51769320),List(47033674, 9307748),List(30524835, 24811871),List(89383430, 77672726),List(21316023, 30024819),List(10918636, 2455259),List(22315600, 54413562),List(51135959, 17738214),List(44441755, 22496201),List(92580514, 74878973),List(86007711, 91708695),List(19207962, 92973692),List(39479752, 28675852),List(96751234, 81471216),List(57099091, 9947357),List(99150020, 13808127),List(56087874, 30024624),List(89968874, 91512116),List(43460616, 67017652),List(18397109, 94110449),List(41059614, 30286244),List(61345387, 20688955),List(19550355, 71739263),List(99908624, 70639107),List(98892172, 1661022),List(67465214, 27953721),List(85680618, 29685760),List(87811975, 79992863),List(25008269, 96763831),List(74968810, 52841088),List(42683555, 73628134),List(96855404, 62707885),List(39805217, 29932186),List(99092692, 84311835),List(76519839, 21258321),List(3266723, 69969675),List(95843582, 2081622),List(18425277, 77966340),List(41883628, 30400675),List(44777123, 29566576),List(77933668, 37948295),List(51040518, 41791967),List(87933217, 73101037),List(1199978, 23143519),List(64892622, 74508977),List(53802374, 59945235),List(15022435, 76508892),List(80550379, 33363978),List(93608719, 74109527),List(5649234, 81240841),List(98278101, 19553090),List(48381759, 10255588),List(68490979, 63306740),List(81644879, 42994607),List(31480318, 82328292),List(20939241, 21201636),List(44465407, 56542092),List(75468467, 53866593),List(20623636, 67010913),List(26077256, 39610230),List(97022517, 57260352),List(30751511, 57607875),List(80473319, 26496343),List(50345313, 21654759),List(55934013, 9466093),List(41438125, 30077549),List(80912219, 55554176),List(71005063, 6072277),List(1584591, 36137355),List(1367908, 49442625),List(39740271, 6552353),List(48025191, 97443644),List(92963193, 69847026),List(70701315, 9777182),List(36841285, 4206056),List(79104317, 58293437),List(93196584, 11994411),List(95356421, 22300351),List(34756189, 98223542),List(77869741, 34428857),List(99868086, 84946753),List(16602739, 38879340),List(30652061, 79809513),List(87712968, 11776381),List(38591693, 30580324),List(79957249, 9037020),List(91777988, 25538005),List(35544943, 49226996),List(24695900, 74641141),List(75452898, 79908091),List(62726079, 16470455),List(81666390, 75410027),List(75981220, 63285421),List(2669956, 80490218),List(91498165, 93126132),List(83256070, 61464326),List(66003574, 20698235),List(39499028, 8962687),List(50883019, 62851631),List(26229699, 29916249),List(31866473, 79492529),List(91724489, 14545254),List(8948157, 46196615),List(93675276, 93580823),List(75783043, 74891466),List(47438962, 38093020),List(70565445, 5315817),List(46627527, 94841004),List(55295393, 51952150),List(94953990, 79093294),List(26761472, 87498592),List(78529922, 73224930),List(86578795, 25260381),List(27842694, 42511734),List(26155986, 86984610),List(7574275, 59184432),List(76667287, 23111989),List(75256940, 49736077),List(23993232, 88222267),List(35365733, 92732126),List(62966382, 88888630),List(90347800, 21417722),List(82419390, 26864802),List(27433034, 96023380),List(19944653, 76925601),List(72232671, 50003124),List(21345983, 73652086),List(59378441, 68722949),List(55288733, 74289104),List(14369639, 26220840),List(90323135, 90044451),List(67565568, 20761163),List(83791823, 9126852),List(2922048, 88102387),List(9155202, 25348389),List(46268425, 12671133),List(24539963, 89211370),List(74119760, 46516322),List(39440617, 22961334),List(11508258, 67165403),List(17471951, 89143405),List(13220488, 31532617),List(94620402, 63561582),List(6498651, 37514005),List(86973002, 12071971),List(80064193, 63189422),List(90828279, 97006595),List(27933054, 38914797),List(9191153, 69775424),List(71790425, 89187653),List(16893255, 64928559),List(10173647, 53474168),List(70705723, 18166949),List(48299471, 51565199),List(67542560, 16224551),List(41841828, 79774031),List(81967480, 62350804),List(84300810, 64148948),List(1494808, 63207306),List(31158909, 51082575),List(26873088, 98463975),List(96258639, 10165516),List(61892723, 83003408),List(60447426, 84514884),List(72766062, 39233336),List(48263760, 81736529),List(40594030, 46971681),List(94406228, 8384212),List(97941832, 4992916),List(19458097, 37547191),List(2504002, 10768609),List(7482802, 98760186),List(81803932, 30284004),List(45049263, 584666),List(83586467, 4692880),List(18309940, 83439871),List(53727763, 80313836),List(67701507, 98503654),List(49229365, 87109167),List(28015697, 77175892),List(52064130, 31357476),List(559123, 41498548),List(21864937, 44486191),List(67179738, 84706394),List(50185400, 41481292),List(95703776, 45874504),List(59535205, 46007003),List(98439521, 1831888),List(30352736, 37245145),List(70514004, 97228321),List(43146620, 28910532),List(89111285, 7275068),List(16044500, 33387487),List(90891610, 25589186),List(57928293, 78095173),List(64807920, 16734202),List(30068751, 95397764),List(77624821, 94635674),List(56853597, 71376477),List(90885132, 71821030),List(31840118, 42766738),List(88166161, 8619780),List(64746119, 76558483),List(2228529, 57190322),List(91898112, 46624747),List(23982474, 4661087),List(90600265, 50275504),List(44112605, 35779694),List(69919008, 20003423),List(10957593, 19450127),List(73310828, 16097304),List(7462725, 54084853),List(35697737, 95918598),List(76044022, 32445079),List(79493317, 90124191),List(11553204, 64222149),List(61282180, 31404922),List(84549551, 98496819),List(36260948, 32917759),List(64130060, 6692489),List(87349566, 97166827),List(68335057, 53246147),List(27407795, 7460135),List(26671628, 2213904),List(78968928, 84505053),List(40259820, 57772695),List(80129880, 37521007),List(15676397, 44005184),List(75042339, 75427636),List(82491187, 35277538),List(62728951, 61371472),List(89105767, 15810245),List(81200983, 45357829),List(16870549, 54782798),List(72581354, 92286718),List(78632964, 22290742),List(79680480, 70889879),List(981624, 26246099),List(51994713, 24306962),List(52751999, 59085873),List(23135136, 95846253),List(58880472, 32717678),List(14122738, 62782476),List(15411021, 25772121),List(54680934, 51608002),List(53550973, 42217263),List(96054921, 42346208),List(30635353, 53938466),List(25947488, 2834264),List(3489043, 29975388),List(48436919, 39246819),List(90087183, 64846125),List(65548818, 19769997),List(5307539, 42181980),List(31498863, 23843),List(96541746, 77810004),List(77207130, 11770736),List(8289677, 2566552),List(6644158, 5443904),List(57620798, 11875127),List(2984425, 59785052),List(3276812, 78918032),List(74360640, 89994670),List(29771570, 54277681),List(1933026, 51251384),List(43562254, 68091264),List(46517589, 69479726),List(77504115, 71624208),List(25906193, 38792826),List(18269299, 29237827),List(70333013, 73155168),List(40982615, 22324900),List(28655420, 26142881),List(92232279, 68315277),List(75702196, 5875458),List(79007128, 94261794),List(63160578, 33913625),List(16331462, 5919259),List(70786473, 69715184),List(83951435, 33656838),List(61789731, 95073799),List(20012063, 98919533),List(46699859, 45737823),List(20253330, 65187626),List(31083233, 13828242),List(76999611, 77050205),List(29057070, 17467548),List(33046235, 8513120),List(64997792, 7400893),List(61578031, 59427957),List(78902689, 80160944),List(52138470, 41414746),List(36076711, 32633132),List(39227629, 39307234),List(78110586, 34802929),List(1216518, 54213864),List(50098323, 67053660),List(8633106, 54629132),List(76622345, 1523428),List(55572905, 1951497),List(68393209, 34835063),List(15071592, 75530363),List(99221577, 57167593),List(20960474, 26443021),List(25174877, 70767527),List(57656977, 1547726),List(64259687, 37890530),List(34051476, 4377797),List(39844132, 93589111),List(25062521, 47075079),List(79755433, 35642805),List(17417837, 32857978),List(17275898, 92820292),List(14584462, 14317831),List(61796978, 87533778),List(55766841, 16837825),List(88023313, 87443358),List(25461587, 47993932),List(40374827, 48152239),List(84768047, 16936942),List(42891236, 20430525),List(33545062, 92719424),List(80235063, 64117057),List(59643997, 34855159),List(55192730, 45065187),List(79185033, 50812584),List(83144027, 21431704),List(98420845, 79217354),List(49680725, 43311409),List(28931562, 68001486),List(59923803, 67369893),List(95506176, 77204331),List(18762545, 33363596),List(10955436, 39378125),List(96783258, 22917890),List(17391805, 61548806),List(74569807, 50679086),List(95856823, 99321368),List(22124144, 13341983),List(81891078, 91608715),List(9061926, 84833303),List(77582655, 88785739),List(56007138, 77692772),List(33686238, 98140309),List(86974168, 85920179),List(97506538, 42105185),List(12713430, 4731323),List(74384387, 49814516),List(62809592, 44549134),List(71482796, 44900562),List(84656686, 84583552),List(52947008, 93218837),List(31616891, 73495553),List(61081781, 1106349),List(83678230, 48763897),List(56979749, 72047141),List(97202804, 47251525),List(50374213, 76300858),List(11343964, 62348597),List(4995294, 10366377),List(67246966, 17510161),List(43686725, 13335298),List(82418673, 51474887),List(42995107, 43786935),List(80624482, 68083796),List(10471349, 8929557),List(29701840, 86048339),List(27974158, 90255523),List(80020963, 2120608),List(89267288, 27466093),List(22729301, 35181988),List(79569794, 17218329),List(85815703, 83344716),List(48025768, 12559609),List(95868996, 71708784),List(74688558, 91553391),List(48816860, 91199230),List(33736587, 55824815),List(94100128, 35152495),List(56196417, 24623683),List(64664893, 84828257),List(76443929, 28944683),List(2930893, 78249586),List(85010672, 26857812),List(75259028, 11437497),List(691531, 36488587),List(18027861, 27068279),List(52142952, 92896550),List(92253965, 97730121),List(30203042, 46582858),List(13209859, 91141702),List(57625956, 48315590),List(21310877, 43685944),List(19743216, 70202093),List(38447938, 72193436),List(26931647, 83297450),List(16370904, 19590464),List(14587329, 38664624),List(78990914, 34556993),List(93812038, 67646566),List(80959838, 77538577),List(13482160, 2999430),List(84139994, 55947373),List(99967500, 4969541),List(10954069, 91992616),List(76953216, 70171522),List(33755364, 17286376),List(61587920, 6597591),List(26412053, 72802304),List(87304523, 36333918),List(15874537, 21444358),List(55180149, 59047941),List(69148500, 66981341),List(5436967, 56740467),List(99380578, 77512715),List(78707161, 63690541),List(80590730, 41249318),List(85860574, 67958051),List(17578345, 75221887),List(10892957, 22708703),List(29853070, 9357453),List(70064575, 93173200),List(23442657, 83716237),List(86993079, 43597590),List(20907259, 29364351),List(48963855, 84760643),List(13472789, 72844431),List(93539372, 78718948),List(45361006, 10487932),List(20769053, 4916778),List(78721632, 16797476),List(4749411, 65373146),List(24860291, 39925400),List(5790166, 20562182),List(84276653, 71698498),List(43682248, 50514686),List(92607556, 17202552),List(47175023, 41390621),List(31539929, 70561621),List(64772824, 89289565),List(1701379, 75237966),List(85814325, 78092095),List(93630443, 20333529),List(15347512, 64204564),List(34893534, 71457526),List(31727000, 94486573),List(56248322, 47456074),List(70073685, 90563125),List(48067533, 44601902),List(87889949, 48839747),List(48450746, 91615387),List(76458498, 18535085),List(93453668, 14796191),List(6536777, 32343651),List(16603588, 64760593),List(62741959, 66510308),List(6505990, 86855321),List(31514129, 24016853),List(95599066, 39518105),List(44438929, 95125598),List(36108572, 95364738),List(57249945, 38349491),List(48188211, 9128362),List(16248841, 50265924),List(64036438, 27394150),List(93292638, 96233403),List(75113034, 9087664),List(36088777, 198581),List(30954315, 78004179),List(79590112, 3051374),List(80078051, 87525450),List(3133956, 87661688),List(36650717, 19178536),List(89729731, 50995443),List(54315201, 49794892),List(50991823, 45020637),List(73449866, 84699300),List(41699313, 38004006),List(21388068, 56104246),List(90418449, 19974690),List(14674566, 53516293),List(48199539, 32399047),List(36651043, 99706703),List(73150708, 51844611),List(15080139, 96831333),List(50406723, 17975420),List(71613533, 46284870),List(98226962, 46766276),List(80404993, 30046158),List(37286561, 52882487),List(40334851, 5630601),List(75240529, 54374901),List(78960005, 56069879),List(85340445, 6870174),List(45618778, 34126930),List(60310749, 98997848),List(71965367, 49340863),List(80819491, 41391008),List(70307442, 75719015),List(53250326, 62000768),List(21024700, 25199862),List(1540001, 23862065),List(44413985, 12243681),List(44665415, 93529306),List(99236280, 43058152),List(855692, 6444226),List(54644113, 11218993),List(54014377, 57022153),List(93400360, 65483496),List(40199148, 16216557),List(37240275, 67740475),List(80544891, 99077393),List(76107112, 15151306),List(57955338, 39942737),List(97912682, 32338707),List(39087912, 70071348),List(52773981, 78227622),List(8557599, 74395191),List(68112176, 12423165),List(99422637, 31111516),List(52445789, 2865894),List(78301037, 92136139),List(80540952, 97287529),List(35106354, 90910291),List(8688667, 48259847),List(92722056, 1803722),List(12298635, 31867196),List(99238742, 4521611),List(22274424, 52191700),List(74251256, 10734450),List(77274527, 54016649),List(78602420, 57469203),List(26571516, 725582),List(5301918, 71200492),List(61025185, 29632467),List(29129174, 58455361),List(56287728, 65092090),List(647775, 11517575),List(11549405, 4145504),List(38635921, 71535351),List(6672338, 5705863),List(87213588, 32721909),List(89882457, 65416222),List(10255603, 32579630),List(74758070, 44318342),List(71677745, 60831266),List(36082689, 6331178),List(52757404, 29883034),List(50392334, 61602688),List(49396881, 31792893),List(49256529, 37431694),List(66958011, 38227540),List(22461938, 28682009),List(79407971, 91345053),List(38199851, 29220908),List(959219, 54081195),List(8385267, 7672202),List(80594362, 34163266),List(74330744, 61573579),List(11261039, 20585328),List(19256027, 86631491),List(5564860, 95991080),List(77332963, 45490648),List(42574884, 93403502),List(1635368, 43118373),List(48681532, 75964582),List(98178363, 72314979),List(12318599, 59623480),List(9128772, 46490271),List(35312804, 78236830),List(13980209, 10541333),List(36300819, 74400089),List(96490902, 62450142),List(88409240, 85847098),List(14444226, 33885170),List(69611064, 90611306),List(9768634, 58468863),List(16804846, 93998333),List(22543854, 55780324),List(792242, 12057727),List(71394238, 13913692),List(98883600, 7337691),List(33918127, 18782476),List(41935168, 84143497),List(22246134, 9899406),List(91971284, 24376436),List(37623802, 70805079),List(66198070, 28418955),List(95749730, 57237618),List(65813960, 95160613),List(87921256, 88793367),List(52294288, 66013724),List(5014360, 38674123),List(26097084, 16305337),List(59819418, 48003902),List(33646309, 22864579),List(16766776, 27393437),List(12322907, 7052968),List(21470117, 69755893),List(33422388, 5656563),List(82722198, 60912852),List(24481541, 57862572),List(94845080, 52477652),List(21093268, 12392063),List(6398750, 25999250),List(50763127, 54834244),List(67396857, 50310222),List(98548298, 21476580),List(23629177, 97734740),List(36884156, 78489653),List(54987367, 23452661),List(62239969, 7615715),List(20680706, 43081361),List(26363695, 54942469),List(28149273, 44746349),List(63502779, 44481906),List(40457304, 8909676),List(72191784, 21932089),List(13744964, 12856108),List(62679711, 90092907),List(88850593, 2323640),List(78854306, 6934555),List(96910769, 26166615),List(84762436, 14555675),List(51125721, 99711665),List(37070544, 45716129),List(39938669, 91231374),List(73563436, 43316229),List(55224819, 7076719),List(54889354, 8978751),List(11047062, 7375081),List(32563940, 55564927),List(74577665, 43246916),List(11966692, 41133028),List(48570469, 99483757),List(57840860, 19792384),List(60456127, 97779482),List(63635798, 87850680),List(44766118, 72718971),List(72539760, 96052251),List(45322668, 96745479),List(70241800, 62628384),List(1972904, 71918384),List(23772488, 96609506),List(63886892, 18458863),List(82026690, 67612213),List(23368777, 47954501),List(96546670, 38318326),List(35083350, 22403202),List(41631213, 61066592),List(58961285, 57957059),List(93492292, 68207745),List(45560546, 37637567),List(69658595, 64241974),List(67821875, 41962551),List(77739560, 58076710),List(20851973, 98666382),List(36035170, 41202429),List(31480752, 53027634),List(30547445, 6316370),List(22506937, 4602633),List(32121918, 22497048),List(37993162, 21813930),List(7178351, 31567627),List(8180310, 92468364),List(54625807, 51198396),List(11938582, 63815561),List(98381418, 85629442),List(12195815, 1447870),List(29056939, 18514579),List(96642264, 78527275),List(91060276, 38389463),List(49062589, 39708856),List(53934245, 11146437),List(11254698, 4237299),List(95127775, 97103170),List(73500348, 29172742),List(45097139, 50666347),List(81628825, 23233063),List(43219968, 27645136),List(38112730, 78644912),List(61928532, 61227677),List(85173029, 14333049),List(51842395, 67474160),List(24001133, 49758491),List(59071321, 57383561),List(28128679, 53658203),List(842733, 66187200),List(40455644, 62699298),List(71765399, 70379859),List(86412325, 76280193),List(84022990, 67263044),List(62694052, 56234883),List(80195884, 11504281),List(30968846, 21648294),List(63166084, 62414696),List(70775415, 92645121),List(47928523, 19510962),List(1595530, 8737205),List(66579231, 97342076),List(90377195, 41374020),List(67421459, 88587032),List(4724854, 98312154),List(27044851, 2979998),List(85129563, 26019005),List(29225140, 73292160),List(56188847, 84206402),List(35875829, 83888590),List(59301872, 84083639),List(55554268, 90783269),List(39092054, 93390904),List(28483310, 40407869),List(23840176, 81331828),List(54475704, 80277879),List(41904778, 94664435),List(36385596, 17225018),List(46345136, 78877558),List(87771850, 92460797),List(70716870, 16687184),List(7146276, 19120884),List(4534156, 59331731),List(26880573, 62137152),List(57145741, 85921997),List(36100057, 89344693),List(95656986, 27007724),List(34967540, 46732749),List(6269060, 19928297),List(10703891, 18621834),List(3116092, 22888807),List(99807115, 53711228),List(58347223, 68590917),List(90579300, 79187250),List(10079284, 48861545),List(31673526, 9949247),List(36786154, 41586883),List(82238664, 54582966),List(43249947, 24839058),List(91308906, 47415895),List(31818773, 86794627),List(27525503, 33800634),List(71266423, 64407095),List(11621775, 91954613),List(60057917, 9467318),List(75153356, 18847418),List(56341449, 40109857),List(99003629, 66696811),List(21030999, 63672169),List(16004580, 45978636),List(584065, 63168988),List(25194093, 69324597),List(94316817, 51705014),List(37300439, 30070055),List(5283291, 41626092),List(51547287, 24962437),List(45602866, 90825134),List(51184273, 58153958),List(13013201, 95758108),List(47972063, 34157066),List(16488025, 54148002),List(44408166, 73411282),List(27328872, 82696467),List(2741211, 77672056),List(17928977, 59345224),List(47016843, 81086303),List(11258136, 51286939),List(57125898, 59107164),List(311192, 96495779),List(6710749, 37623059),List(98478509, 45476190),List(69855011, 38789795),List(40878055, 88198784),List(37386674, 81883260),List(83391633, 56599423),List(38484298, 74397310),List(60247816, 77773042),List(8439906, 70349795),List(60806348, 35414904),List(93339769, 8108518),List(77553264, 5249091),List(75577188, 34348714),List(13001929, 78688180),List(82309062, 34772632),List(88471572, 66525514),List(71318487, 97863600),List(80499929, 17566330),List(79691172, 46061155),List(60761646, 65566639),List(58116913, 99614640),List(57434227, 56004422),List(37976363, 40552253),List(97623971, 40237686),List(27963089, 90003785),List(63452438, 90261722),List(43608865, 76202034),List(23637132, 22729819),List(20316679, 23652030),List(31097349, 36083553),List(50116809, 40512643),List(33608188, 66417428),List(23068290, 64813015),List(43248999, 10883632),List(32055097, 69886039),List(46333292, 48753803),List(57695331, 33368912),List(67824610, 95406729),List(91976482, 49725032),List(3519415, 98167998),List(6119109, 3848556),List(36069001, 64300802),List(44265089, 24331724),List(47231708, 77970612),List(13235757, 59618926),List(27474125, 62953806),List(66257715, 78182919),List(63233743, 6606208),List(79809714, 41128208),List(76444372, 39259370),List(93760642, 70088994),List(40719223, 92379690),List(72996911, 42219572),List(41763098, 84575663),List(90017609, 57835786),List(35582894, 46581238),List(94435577, 39302973),List(39438796, 73596655),List(36761579, 60063479),List(87075217, 81712529),List(5754484, 44961564),List(40001025, 12407938),List(15565553, 59194789),List(18853054, 55441682),List(29564185, 87028093),List(81676984, 24826948),List(99867893, 64482072),List(66084896, 26650577),List(93125995, 31644275),List(20757459, 92241397),List(18049942, 34227688),List(28930620, 55889382),List(92727991, 66716124),List(95302424, 87575228),List(62706439, 24931645),List(89445161, 47123862),List(64544624, 79135263),List(48943113, 28870274),List(47802295, 72814148),List(58921580, 20959010),List(55700089, 15723226),List(32308914, 39180376),List(12736689, 73083973),List(14177006, 16117093),List(68883834, 64411088),List(81773642, 45020525),List(40445931, 91099742),List(79521736, 80335469),List(55608302, 67470715),List(52509964, 35417935),List(27111729, 73203346),List(78251830, 45559440),List(43047811, 29174026),List(64295979, 64664147),List(51202253, 62957974),List(53231834, 98061572),List(72456977, 35080696),List(20923003, 37801299),List(3338704, 31495160),List(70714796, 34870203),List(70351495, 99857126),List(19163005, 14814953),List(3623929, 75231204),List(45517370, 8693658),List(6190206, 6692679),List(16771936, 99397270),List(20006623, 37876685),List(29544654, 27129283),List(99635387, 44253207),List(70747269, 79830082),List(73577896, 87187677),List(94233166, 24499274),List(56410139, 61560648),List(39974175, 6385950),List(97439297, 89038619),List(36160058, 92435586),List(49437231, 1216952),List(35451238, 97268263),List(95591210, 44332768),List(32735837, 59889973),List(17195028, 29040578),List(98434661, 48211715),List(95626790, 72088474),List(52959876, 33881675),List(71232709, 91298783),List(42782365, 52658841),List(61777128, 97980739),List(37845790, 84029166),List(92113673, 9388233),List(13037675, 8494458),List(20018607, 84686556),List(39735587, 77645933),List(82692357, 76829004),List(47271080, 88112254),List(25562074, 3083527),List(55173286, 2118091),List(90727976, 83565159),List(51168408, 27245301),List(2556403, 25409724),List(5046394, 96158733),List(90253820, 99325867),List(81761742, 17051833),List(80476624, 32870771),List(97256237, 3938909),List(25133456, 19274662),List(26909180, 43409416),List(66997898, 99210603),List(83336794, 23678887),List(61473504, 40498698),List(33620997, 31784100),List(65021550, 40062303),List(33837262, 3739340),List(49462442, 38524922),List(65221351, 92785881),List(64853644, 17829795),List(50993252, 85060878),List(96243264, 77067109),List(52920818, 42963809),List(60233000, 21700434),List(60587559, 32821890),List(78140265, 7501720),List(49894794, 78698097),List(45658786, 86345185),List(54555975, 34480614),List(93110198, 84481662),List(13583929, 48023274),List(22754148, 44911848),List(49762592, 58411497),List(72343737, 26353975),List(82998842, 14512335),List(44810461, 30988793),List(85853497, 42405810),List(55940058, 58055262),List(62605194, 98750332),List(91308697, 85028),List(68466060, 76906702),List(483401, 94463404),List(42697525, 17748311),List(84917459, 98504616),List(53082984, 68861638),List(99488688, 41369744),List(27337152, 50577441),List(4390624, 18298068),List(42025283, 76109986),List(52592023, 5648558),List(3876603, 73841260),List(71318815, 79750338),List(38091470, 7196051),List(2680659, 45695523),List(1973566, 98465877),List(28932706, 42959429),List(27917138, 14150059),List(97313630, 29250080),List(59117626, 8336869),List(64185841, 26497416),List(55635735, 30471428),List(32497186, 18395049),List(22950803, 66782190),List(21072072, 17442804),List(62616529, 86398566),List(80409780, 54037773),List(21603647, 57000303),List(30572734, 37748232),List(49507703, 94940838),List(73916064, 27455203),List(90225803, 48665196),List(77782069, 87573071),List(69265858, 23889609),List(94869871, 69650730),List(97241118, 67714491),List(32545347, 63594838),List(30015345, 58312227),List(24282129, 54842711),List(49587763, 37545180),List(99674694, 53300794),List(69955123, 69605892),List(53440829, 81071645),List(15219336, 75610302),List(32246942, 1143117),List(91178950, 19274809),List(35482167, 47817737),List(88313863, 85533513),List(57891460, 52678746),List(48473557, 75554872),List(28220635, 27581503),List(9895572, 45134455),List(67977878, 54820653),List(1802899, 97200967),List(93650076, 94351614),List(32825668, 95596251),List(89919967, 98634682),List(21413096, 27677552),List(22197785, 8810189),List(52815514, 16735908),List(90748164, 84569087),List(73451030, 88418494),List(57541624, 58337937),List(21481603, 38208054),List(72726251, 92030940),List(32958040, 17450651),List(23680101, 38000970),List(86685607, 81732011),List(3409929, 39342230),List(66909834, 77463990),List(22285767, 83734654),List(19533612, 53876595),List(38227908, 43879775),List(27647095, 36098343),List(88979097, 94277148),List(3895947, 17656500),List(39278935, 70408617),List(51897599, 64111752),List(26690427, 65992998),List(74352333, 44438329),List(74053719, 97417808),List(18232872, 6140234),List(65513552, 54542816),List(25478644, 84462462),List(5835362, 87657553),List(43603121, 58812481),List(76719128, 12674957),List(19260639, 31721864),List(97686251, 34062165),List(83307936, 34529005),List(75495744, 99394901),List(59600792, 52733489),List(30059846, 89822634),List(36725292, 44717416),List(35726965, 66522327),List(51025460, 84044152),List(81874888, 68886429),List(43521684, 38980406),List(40149638, 99637213),List(31734669, 50868941),List(25448394, 20056159),List(1299640, 39087935),List(57243679, 7106512),List(27706104, 95511663),List(87431558, 52503537),List(24187256, 74519508),List(71750069, 81207758),List(82343890, 83927674),List(12849867, 84258363),List(83512522, 57402674),List(92031511, 42515124),List(95197003, 31562488),List(10630561, 42184254),List(38418003, 72096293),List(59071606, 53703538),List(45112471, 88384034),List(76493898, 44481981),List(51283914, 10440121),List(77706341, 17977745),List(76467245, 45200253),List(82516742, 9421689),List(54374733, 98177284),List(83503447, 3764770),List(76122330, 60414247),List(57517320, 29226601),List(31969899, 67324345),List(99389265, 64757157),List(36148131, 77368934),List(84918845, 64310167),List(38513816, 85570713),List(90613576, 56117255),List(1416251, 50500709),List(20796498, 30126741),List(91437320, 37825201),List(85103294, 48847354),List(66229367, 52787784),List(68565872, 78959677),List(55307485, 19306951),List(7054124, 71129755),List(98066643, 81942601),List(38238418, 70683136),List(72929098, 63317064),List(3440451, 5016852),List(1613043, 80970621),List(68646348, 46376875),List(53401828, 29408998),List(20705941, 94215815),List(32687334, 87966257),List(59767156, 89664594),List(68974756, 9787895),List(55807540, 90094591),List(66370939, 67174768),List(4833050, 27046393),List(14170983, 5591),List(93051193, 37141620),List(87497384, 62691145),List(96771069, 92928440),List(62897024, 54021037),List(44580021, 41608772),List(34946581, 67258701),List(23816891, 58716388),List(92146642, 3744929),List(3173835, 9543583),List(3283547, 47512848),List(22534779, 43954418),List(5411661, 84413727),List(29444810, 63994221),List(80158424, 59229852),List(34635412, 54897176),List(30109838, 31788756),List(34624300, 33137578),List(51574155, 62785152),List(52838875, 21777908),List(35315909, 20724938),List(44408708, 96054598),List(77777897, 48904765),List(67335357, 92560420),List(32118275, 82547067),List(17206111, 37576062),List(54351321, 82256432),List(98955033, 31625945),List(93598835, 90665048),List(52479309, 14811732),List(21070212, 64730814),List(8639033, 50894791),List(95556897, 10658789),List(11628114, 37090476),List(16415231, 39172885),List(38488016, 19533288),List(14836772, 90186803),List(93751529, 73631128),List(496419, 11535341),List(22550386, 61796126),List(45437564, 98488138),List(80386064, 57495326),List(32449657, 21419447),List(13281527, 81128665),List(59547401, 79558099),List(97829883, 88163602),List(90761886, 53743959),List(25289457, 31440596),List(60646792, 79309421),List(60738270, 66125622),List(71230139, 65663107),List(90858203, 73965411),List(94439830, 15229210),List(72334277, 91314174),List(55996586, 64517337),List(22947297, 55450001),List(77129357, 21234670),List(59367363, 35840040),List(72162608, 11211473),List(29347894, 6261253),List(30916504, 38549936),List(5432717, 27001118),List(15045675, 95611146),List(42850628, 75413994),List(67765916, 32248506),List(68565490, 27394055),List(34671768, 49026988),List(17603768, 66986583),List(93231283, 33464361),List(31247836, 69608618),List(25556644, 51213169),List(12301807, 12892058),List(84215838, 10624595),List(83319006, 68973270),List(34368196, 4386740),List(80001697, 90240988),List(36924843, 24024275),List(11688981, 85653437),List(4048846, 77028740),List(80998567, 90793744),List(56508149, 93668888),List(62169331, 19954137),List(67938924, 24447069),List(86380592, 14111412),List(72837742, 57102000),List(6111483, 38392865),List(81225596, 31545422),List(49941199, 66745514),List(71119309, 83488860),List(80672311, 36970716),List(40789669, 21444279),List(19013118, 56557869),List(31968445, 37642985),List(9914666, 35382362),List(60387945, 88089485),List(54064526, 58086686),List(83129985, 37804221),List(60969325, 37720979),List(44633969, 17106618),List(66087392, 11858069),List(36959679, 42982348),List(24599866, 3507032),List(27222962, 67309066),List(69623746, 93500854),List(32645660, 82166403),List(77648040, 33932763),List(39425757, 1086403),List(73645406, 87525368),List(71117311, 60488882),List(10859555, 17056395),List(58848452, 77616746),List(7377375, 98244534),List(92831500, 23073103),List(85164262, 76210744),List(92499150, 98460675),List(89120218, 80587356),List(21213199, 75053894),List(1181818, 76913927),List(39180338, 78265235),List(9615430, 75707751),List(56920392, 83031125),List(19642887, 56283715),List(2998515, 96445104),List(13649795, 68817301),List(98742108, 87707595),List(77455809, 29674476),List(43570459, 78872229),List(8140048, 19137730),List(69000283, 15175159),List(31960769, 48880558),List(80438457, 19174939),List(25327572, 80683593),List(41902909, 44066648),List(20112701, 56114950),List(11481965, 12563721),List(42284583, 3915111),List(65423983, 4997637),List(61015204, 50688481),List(90742447, 11649374),List(78355196, 85345363),List(56983675, 40118773),List(67203636, 77700643),List(57848246, 42086343),List(99958745, 47404504),List(11214378, 1218317),List(27203873, 19876180),List(13732889, 2693835),List(13539861, 88986767),List(96814114, 28991610),List(25441714, 44496950),List(46947415, 10921539),List(51329197, 81174876),List(92882562, 83081436),List(726587, 31771904),List(34350276, 6411521),List(40792037, 9052579),List(7920799, 30342454),List(45401552, 21189521),List(98907386, 15727432),List(2836192, 87414751),List(62232510, 75878590),List(23367242, 88261217),List(58928403, 74587178),List(19276274, 63929815),List(97855649, 93801775),List(45314597, 3902920),List(91222530, 13622453),List(73678294, 34710318),List(74992678, 17629451),List(62884931, 99463511),List(67844447, 85555838),List(46806332, 85267111),List(675099, 9516572),List(26906687, 33912636),List(16555221, 55896651),List(63919989, 56921341),List(64602651, 16596043),List(14145320, 2006121),List(58342780, 37248786),List(99334488, 72025909),List(63104334, 57459240),List(85314040, 75823257),List(51199802, 29509029),List(29013689, 84719446),List(56298654, 43132125),List(40544479, 60553205),List(49873201, 11099612),List(58316156, 3423414),List(6202481, 23541093),List(75884394, 21023995),List(60342804, 8315409),List(23326156, 93108291),List(42252335, 12017617),List(90857781, 58491458),List(20133672, 8644405),List(97696645, 58625497),List(6042700, 54007439),List(57102569, 81266293),List(63022310, 16149308),List(10116916, 64462889),List(44136473, 33207377),List(12152671, 66397817),List(2225040, 84784307),List(49956526, 77122266),List(36587731, 4926001),List(9008162, 39125018),List(22070956, 58950300),List(94510615, 36933665),List(8918145, 78640211),List(73273205, 1570060),List(15470012, 92277646),List(76360556, 96194217),List(78412495, 36844354),List(21785674, 40430718),List(48476214, 10756298),List(52713230, 56692315),List(12189522, 21025790),List(14443898, 71371183),List(81655651, 34171222),List(6491746, 94478717),List(90071026, 38676955),List(57665685, 24729884),List(3596780, 68332144),List(11509599, 27888985),List(32065468, 43880739),List(79442406, 10531180),List(2564401, 55913799),List(81386394, 87779922),List(84506575, 1726082),List(93667169, 19763538),List(63389592, 15298183),List(53843639, 41052326),List(60310080, 58573213),List(36791007, 59181071),List(95457267, 74834135),List(75792672, 59477099),List(92101050, 59796204),List(63332499, 50480941),List(271368, 92038157),List(82209619, 46532480),List(11155883, 65796624),List(48755499, 69701706),List(89405658, 44859876),List(45499306, 3829077),List(99699423, 11234495),List(15030920, 49613987),List(48226257, 61570814),List(30222663, 19967402),List(42904677, 43783759),List(76828737, 68758822),List(52520933, 65056844),List(768330, 6490863),List(91697788, 408587),List(82630722, 78962110),List(97436874, 94642767),List(552002, 83350369),List(4981090, 80709005),List(59946012, 95154255),List(24284367, 68187857),List(10493030, 78782703),List(76197305, 88419397),List(90286082, 8537713),List(34484048, 35450357),List(3851309, 63362144),List(27852016, 72945626),List(79043910, 93890504),List(42912155, 50306663),List(84988252, 1805632),List(37727832, 30140662),List(7711863, 23887406),List(94236534, 53541397),List(38761996, 8915803),List(87412237, 53680689),List(46561639, 37655578),List(37862377, 64622542),List(32016666, 67649266),List(4753098, 16283346),List(12129509, 65854964),List(3771027, 35591084),List(57658338, 5236276),List(68791754, 58454945),List(72801140, 58549994),List(68113182, 93101504),List(71980474, 86270424),List(96062327, 96714836),List(8884811, 42309279),List(41380591, 64130759),List(85988135, 21990134),List(29336619, 26488788),List(36868490, 57100325),List(89371166, 47468380),List(18316919, 58294535),List(93192089, 68983371),List(66055709, 98500213),List(35932707, 48073443),List(72830157, 4683744),List(10922157, 28550055),List(67928560, 78962826),List(30033800, 36539172),List(98724517, 90054826),List(94561416, 80354909),List(45726135, 68498297),List(69527752, 37237850),List(13845914, 20984386),List(91981685, 55005456),List(75662142, 78684507),List(57130510, 98848763),List(98906333, 14726719),List(79549939, 60105038),List(21639532, 9898495),List(47253114, 77851716),List(47219889, 20702139),List(37245180, 47700500),List(58183717, 1242313),List(99514606, 35125344),List(57472517, 28372784),List(5838511, 296571),List(17822021, 29724209),List(94670245, 61982974),List(95838913, 48401170),List(45709337, 52494629),List(9438813, 48764175),List(78047929, 19939727),List(98922903, 85633287),List(14789959, 77123877),List(25667225, 97206263),List(49672798, 50000232),List(1258648, 53563533),List(79935851, 11405292),List(31302442, 17396258),List(56020694, 1651931),List(98773600, 54670896),List(75681464, 62040545),List(82873039, 97249205),List(85025944, 22109502),List(74485664, 73490342),List(39488665, 31611677),List(48119629, 41152641),List(16523095, 72222961),List(76546776, 29767758),List(84267575, 77544605),List(85516444, 2906562),List(22284024, 53886992),List(16437606, 5747666),List(63237233, 13353676),List(57872649, 20209059),List(32718635, 61936394),List(47859420, 2460220),List(3515540, 4915423),List(93232029, 53937660),List(52405264, 63286447),List(30750870, 91648186),List(44958486, 10384236),List(27276686, 81356473),List(56492026, 12746502),List(92019172, 28570221),List(60305603, 22881589),List(47382475, 43341838),List(67421573, 22928645),List(44794578, 70407968),List(13606094, 14417617),List(40556751, 70417898),List(53449223, 83855653),List(69914708, 72283954),List(49261229, 20010316),List(42809353, 61917453),List(18507214, 55980477),List(94816161, 42803523),List(98811319, 87986214),List(52976319, 67359998),List(1465906, 42847649),List(12454705, 61738770),List(48537730, 32035099),List(97569229, 7998248),List(48091977, 82635042),List(50760520, 85700170),List(17478672, 61771920),List(32505745, 59052480),List(99115215, 56489270),List(7993400, 48741073),List(4928159, 6409821),List(44075022, 64975516),List(12344693, 8231315),List(28415854, 62728054),List(33461420, 66699730),List(24433788, 59226690),List(36560540, 70000402),List(43059004, 39842960),List(52978457, 48542574),List(22508140, 39040473),List(55196819, 18704832),List(89686016, 79405392),List(48797653, 79298054),List(56865989, 2501105),List(99486905, 4717401),List(48584979, 56742488),List(71594995, 8330683),List(77874494, 35577885),List(53179792, 14988228),List(18335430, 25664290),List(83730001, 82199185),List(92964266, 7553980),List(11945228, 75094314),List(37331958, 88893048),List(48955627, 45926498),List(2996775, 84207995),List(15494014, 64221736),List(78606742, 9208305),List(72249348, 96801799),List(58073330, 17440907),List(41423587, 89083689),List(99509954, 7529884),List(23051940, 58157808),List(3384390, 44566984),List(68869284, 41303618),List(82732540, 33034811),List(54393239, 80250590),List(83827106, 55679277),List(1345495, 56917395),List(33580518, 25853436),List(81728715, 76773602),List(45185262, 73182536),List(55111583, 26828558),List(13147508, 44215616),List(22260024, 94321135),List(25857633, 5233306),List(20610989, 64701903),List(59118303, 48608666),List(37255092, 46179209),List(11803578, 19563953),List(19393764, 65064091),List(68563139, 31170055),List(65493643, 92888301),List(18503310, 92820634),List(9552122, 85608074),List(79439560, 11206614),List(4781667, 11362460),List(48278658, 44745148),List(53540621, 39618259),List(63827923, 12467731),List(96588029, 44916434),List(75628198, 96821214),List(10551565, 24418838),List(9255176, 7517019),List(63500678, 35473883),List(35525567, 88223790),List(88312937, 50078733),List(50325877, 36047206),List(56487768, 20160822),List(92603489, 16234575),List(37532731, 610338),List(51048241, 3651690),List(69675644, 38016294),List(31706738, 26066111),List(8683396, 75083277),List(85532072, 18312026),List(91133158, 36136527),List(83968702, 24807270),List(40045486, 59612252),List(15702736, 63019769),List(2676518, 22932076),List(18935005, 26305331),List(5808356, 5066788),List(25982557, 15215521),List(5592093, 36878156),List(94107831, 73310748),List(20588481, 61126916),List(62476044, 86129013),List(35370967, 3107883),List(31931222, 78044894),List(22987809, 4188663),List(83163147, 98624476),List(81535065, 70486218),List(36399764, 47802590),List(45032700, 51869644),List(32703671, 59976128),List(60030953, 44343779),List(29235921, 36715314),List(31310835, 64666242),List(38385490, 90307069),List(43882272, 47136382),List(33593328, 9713950),List(16201604, 29488834),List(62455777, 89182511),List(6308219, 75817955),List(86826344, 69715385),List(93055902, 98237428),List(77950183, 35666741),List(17395723, 8438575),List(25130477, 34833533),List(12642809, 94198279),List(47208106, 41176703),List(92527387, 46108210),List(23882775, 6954663),List(53274103, 52302213),List(1605788, 44698097),List(92365639, 16798786),List(41011198, 66490020),List(84244108, 39088250),List(22858392, 41789563),List(58133508, 85836637),List(14827745, 33611506),List(71369794, 9620868),List(46194928, 52014748),List(23990781, 18921810),List(99145667, 89084873),List(13419557, 65554343),List(35706091, 50902322),List(15634808, 80586584),List(66198358, 51826668),List(22932281, 63898578),List(75271490, 10928675),List(97317754, 82326197),List(18947564, 6725635),List(34342977, 40392893),List(46607128, 69181586),List(31754810, 32454499),List(90184158, 38885081),List(65478136, 25069299),List(67719346, 27663181),List(48944393, 72471458),List(59774388, 47545451),List(93350729, 42066097),List(13522636, 18551627),List(82388649, 2416701),List(89616627, 74981019),List(69420227, 94284450),List(76357347, 68333938),List(35059390, 77505570),List(70610596, 70795575),List(36350131, 34439272),List(33167265, 71998246),List(67091132, 76240410),List(24796449, 72578403),List(50028533, 40894286),List(12725817, 24116123),List(62097955, 39317276),List(84722240, 17473885),List(97519971, 43542231),List(403191, 22528965),List(87877388, 7018524),List(54046733, 91591578),List(27178588, 80920901),List(25090967, 21468823),List(63898575, 71000302),List(72986058, 55454431),List(35091839, 51487347),List(14232889, 37239865),List(760698, 54903189),List(3837814, 99271773),List(76864612, 12582783),List(17219290, 79669153),List(68706079, 39430105),List(82613313, 27247954),List(10304902, 1296180),List(17999081, 10783),List(44575, 11771175),List(80814955, 27911522),List(69301404, 68857579),List(68890044, 92556115),List(51189569, 98703793),List(71306317, 44834786),List(25662014, 13063858),List(99512518, 99683816),List(58934657, 15588188),List(38884517, 72813601),List(5486832, 79429269),List(33281032, 26874826),List(84349762, 43022807),List(46634950, 77278778),List(7260137, 91871509),List(30698186, 7222762),List(65217305, 74382024),List(58783878, 43275967),List(13920887, 17989323),List(9633, 96819297),List(83131145, 62296822),List(79064871, 65850005),List(54295009, 6702958),List(58532693, 51757229),List(61757508, 9360961),List(25300546, 23404998),List(84976118, 35195018),List(8176086, 96693993),List(24988223, 55252179),List(3537060, 69020179),List(21522822, 97777531),List(31395998, 14658178),List(7026413, 75788387),List(95095596, 66121252),List(11348029, 73898764),List(8277117, 17789377),List(18611224, 38477246),List(96739181, 56368506),List(14694573, 74165837),List(25640447, 49997266),List(59977109, 22004791),List(27786285, 67622152),List(79426469, 51582854),List(62372717, 17229721),List(74735720, 72755395),List(83821030, 60075352),List(94651477, 9028697),List(26724846, 5646470),List(13617596, 24476580),List(73077604, 95651920),List(46891390, 71586462),List(17471829, 27449421),List(70873478, 49076060),List(10370754, 97391879),List(98496882, 10455795),List(25649276, 18952926),List(89494757, 6559271),List(82173640, 3520790),List(5497222, 54782392),List(19031311, 64754727),List(31014202, 17679870),List(11368835, 2062697),List(45956540, 57289674),List(65007383, 80046607),List(21712479, 90954442),List(63914886, 85295811),List(19672499, 48040224),List(34826423, 46264107),List(4760311, 81996341),List(17624076, 10601003),List(63756597, 49981022),List(40837319, 18381341),List(940851, 80409088),List(14101239, 24379925),List(55293953, 65101743),List(81368321, 9727634),List(90811105, 29815565),List(44548768, 7411553),List(82041925, 1630091),List(88424251, 6759414),List(92920843, 85725914),List(56101073, 55713742),List(90057660, 77253259),List(79647197, 61003228),List(53376084, 10546304),List(87235858, 56198414),List(76195798, 46149860),List(42401935, 89115130),List(18233474, 35972232),List(59502874, 37027527),List(50696545, 64939750),List(1411347, 39182318),List(13219912, 87266279),List(56224238, 82454846),List(76045622, 4434127),List(71527218, 97678866),List(87691921, 60614710),List(79412157, 99681259),List(85772958, 56299831),List(40152516, 10075415),List(52878419, 83134499),List(27962530, 11160523),List(19266380, 97940834),List(90645242, 66036093),List(72500995, 26529149),List(21903216, 83649757),List(8858319, 22922658),List(78057087, 17549461),List(77362562, 31568833),List(23256982, 88993970),List(94711187, 48003377),List(4945590, 33216367),List(42297450, 72172774),List(29658482, 86374976),List(91575423, 58672412),List(10076522, 23202980),List(43406132, 94918346),List(44674135, 94988856),List(41819898, 4090256),List(32380221, 9052172),List(55098428, 43704973),List(37933650, 52196489),List(49824862, 47083721),List(98069391, 81084839),List(48107343, 18400250),List(4506991, 89020858),List(11125082, 40396835),List(87334383, 17297363),List(61408600, 82097233),List(9780834, 50512254),List(6299015, 79464989),List(24788585, 94907529),List(31977751, 77809349),List(14406931, 42779737),List(26855960, 49514135),List(57251997, 73213295),List(3866933, 62334216),List(55258742, 99403258),List(45426232, 44468568),List(30592408, 66947453),List(93835774, 3158300),List(82785773, 8753588),List(11685043, 58603594),List(18762424, 19286740),List(88998399, 83125001),List(54164379, 86348748),List(98063685, 78433645),List(16250083, 15188688),List(85205320, 65472172),List(91977410, 94590858),List(65071610, 4591176),List(57664987, 17579860),List(80791925, 80920348),List(5203092, 24667760),List(95450170, 2913087),List(84718109, 51833981),List(37237229, 22997880),List(54450969, 83977366),List(20014602, 32174179),List(12798844, 41223701),List(48960137, 86143843),List(10111544, 14437979),List(20985240, 87718044),List(72396497, 1547852),List(65625987, 158747),List(41667206, 56721844),List(55744861, 28785381),List(90002753, 83587066),List(57602968, 23522406),List(6711193, 11584068),List(80216829, 22161512),List(61494516, 26429392),List(2464147, 37159729),List(3864151, 27138166),List(36236052, 86570591),List(60792968, 98725258),List(78106316, 18067406),List(54246865, 11805058),List(32536673, 52750750),List(88026306, 14166540),List(49786215, 64086800),List(84775524, 10263878),List(22775139, 35614113),List(45497445, 38922009),List(72033117, 70661331),List(65958835, 23632527),List(70672126, 75374294),List(24633410, 45511610),List(63246135, 91243016),List(36106430, 94730947),List(12174593, 57122254),List(50616413, 71827915),List(1186746, 15652762),List(19443188, 41593647),List(22838968, 16360744),List(97545092, 65174926),List(14994685, 93525804),List(65785016, 29572220),List(6026957, 52806404),List(10075257, 15836362),List(43140327, 58586859),List(83110375, 38308664),List(93097985, 73154160),List(5128621, 18985364),List(80534794, 82832172),List(46536941, 61386701),List(23865822, 41310298),List(26602906, 17666978),List(26661722, 64358390),List(22523826, 12216956),List(92726535, 25682757),List(16720670, 48046248),List(59419112, 4852681),List(53932617, 40722787),List(54071738, 65705904),List(42325923, 11356291),List(56041496, 75040991),List(83245153, 86803740),List(39872525, 79330915),List(57961038, 36334832),List(85340900, 75142819),List(37518243, 31270540),List(68057634, 67698934),List(60496133, 37464209),List(96171880, 53282260),List(84280344, 77253878),List(53793305, 17394961),List(15355505, 14363671),List(26200596, 64294745),List(6727301, 23784987),List(35180728, 55829568),List(22746236, 43435583),List(35469646, 1371790),List(45388638, 70490551),List(22776387, 54380476),List(54495174, 15181024),List(73762653, 56226120),List(64872721, 63801789),List(2061136, 7710632),List(87187955, 1482917),List(86102931, 28938598),List(66898927, 4126974),List(41124145, 16718434),List(37014070, 55029891),List(91589387, 4263312),List(95931854, 54041053),List(73978934, 7741032),List(93491406, 79057035),List(2479202, 71448986),List(71326370, 49971194),List(19861057, 82056669),List(58585138, 99674467),List(83485301, 49923116),List(85780174, 86331849),List(959675, 29704113),List(35363610, 7944735),List(87303754, 81748391),List(7515242, 87530627),List(23164384, 30161517),List(74518061, 27051762),List(23939869, 72883141),List(49914013, 18629757),List(68573433, 95102391),List(91632967, 98508129),List(1221569, 12189648),List(7951287, 68459866),List(30997711, 33098675),List(53313079, 86310945),List(16257009, 12110125),List(25206671, 41819742),List(65342714, 75663536),List(14777724, 63141834),List(21625980, 72764182),List(65003228, 88140721),List(80229023, 18622728),List(66436804, 34703708),List(17073317, 40521809),List(37470377, 32310177),List(64637649, 7853826),List(95995343, 62091249),List(44969445, 96212276),List(69155954, 57023495),List(39358882, 50333657),List(98898998, 47482721),List(319468, 26654974),List(58956325, 33987287),List(26926224, 70960870),List(44680998, 98333531),List(59455739, 24632424),List(51582527, 89464062),List(92048427, 72090558),List(66299526, 8488067),List(53368447, 48965326),List(18472166, 85535618),List(83677755, 73519063),List(55646914, 14339486),List(41660552, 42857809),List(61729287, 34776627),List(74045526, 7904826),List(80289882, 21987909),List(30192300, 42904431),List(76098801, 35769474),List(44760491, 91872397),List(34935869, 86078017),List(88933354, 18343),List(1597126, 84880605),List(95981972, 48089644),List(69836991, 74731979),List(51500160, 78310507),List(5412014, 25954210),List(39160382, 23093223),List(67202592, 45704560),List(10831921, 6599051),List(15244878, 50286186),List(73881933, 29043585),List(60277753, 59545456),List(89327899, 1369643),List(28581763, 38794816),List(90851143, 88790512),List(86968816, 9539278),List(27633829, 98214651),List(3768307, 91021433),List(52876324, 83979783),List(52875978, 46871042),List(46596693, 84434935),List(18849129, 10430104),List(5536217, 73553549),List(62161144, 60883106),List(23956186, 68074527),List(98376265, 79600123),List(87793368, 93158127),List(13378060, 148704),List(10409279, 92889930),List(11817625, 50848590),List(7582520, 58924726),List(81673434, 7747292),List(58740032, 18160890),List(59913301, 73817433),List(91336233, 80281526),List(44477162, 47382022),List(31454596, 41554294),List(79619665, 82563137),List(90129850, 40806895),List(6591615, 1389585),List(70186890, 14460775),List(15660644, 25301353),List(21780853, 54186351),List(63535692, 37402474),List(98501923, 95498754),List(29107411, 18261425),List(25689286, 99429745),List(90601874, 69575273),List(61708887, 51377982),List(42687256, 69183469),List(77423020, 84571861),List(31271854, 78061883),List(42933912, 19652073),List(5299321, 87679013),List(55772956, 92613405),List(99159703, 7328700),List(48296222, 84088188),List(43074631, 50712927),List(74755788, 87201886),List(3500452, 40168737),List(38312053, 7941798),List(64662562, 20419151),List(64769259, 25826210),List(41556530, 90911568),List(50228142, 91670610),List(54353912, 9937001),List(85486604, 93698844),List(9572169, 90591244),List(69763484, 27441591),List(33592679, 36829593),List(61252085, 23198124),List(94397277, 66919490),List(83277000, 30569523),List(15268793, 73771288),List(63545642, 70175898),List(22431279, 79865859),List(7731278, 58645518),List(61393115, 71309874),List(10452900, 97258584),List(58426925, 43952313),List(52860978, 53657090),List(72716799, 48292251),List(70738534, 65881431),List(46139119, 78282865),List(37940596, 22608036),List(6694491, 92876741),List(11435048, 19269295),List(1876357, 86065643),List(64335812, 59976526),List(24377934, 71494648),List(76735236, 78585452),List(83703736, 91170636),List(38997009, 36968982),List(86875005, 3123249),List(58924663, 40551659),List(18846752, 57723467),List(88772119, 7097120),List(59157031, 74814463),List(30509424, 13977187),List(27339032, 94517420),List(51565472, 30687932),List(47156804, 94581),List(38617767, 69760954),List(40878131, 26007421),List(48992543, 81021951),List(6482077, 83502154),List(52523105, 91629932),List(64239734, 83098615),List(50781343, 22029192),List(52527280, 8748340),List(13131563, 24711230),List(48705846, 24436357),List(95459446, 61755570),List(10200270, 73065199),List(17152955, 18903274),List(44652017, 98022432),List(57983390, 58002532),List(45355, 31501980),List(17832250, 57709486),List(14881114, 85849821),List(51326147, 83382780),List(23930695, 43757021),List(92683037, 33815980),List(19791433, 90940919),List(40856921, 26989389),List(87153365, 79362118),List(83143761, 72487503),List(90944840, 91769661),List(95138172, 49095115),List(17113422, 47108763),List(20732425, 9552759),List(3400678, 46241371),List(70503776, 23713832),List(77093585, 9376543),List(99672435, 7993456),List(80811709, 69685250),List(81917997, 53543105),List(79774305, 96448721),List(10598890, 34821667),List(5289471, 12873291),List(79230115, 29082108),List(92360719, 79467875),List(98027076, 14566200),List(34117696, 85454262),List(85042504, 22152356),List(62660804, 48258232),List(82056557, 43908073),List(710201, 50920581),List(8065391, 483681),List(9103016, 84109480),List(53623012, 71509016),List(70053259, 67128811),List(99107859, 70072720),List(93378171, 52220728),List(38949100, 44345781),List(6064771, 83196366),List(36874502, 93828953),List(68121763, 11792989),List(58040517, 35620124),List(85486277, 9521127),List(401415, 13841469),List(6700352, 24552706),List(11378380, 53027525),List(72701785, 30065941),List(17529389, 15008465),List(35243370, 6641311),List(53223103, 24421454),List(40530558, 85044227),List(50323651, 69982048),List(8547433, 19937435),List(3468789, 19608263),List(2184985, 82957637),List(40395816, 17155984),List(62489169, 18397670),List(14961308, 64299348),List(41840423, 72713292),List(81242507, 31112680),List(73025674, 57819139),List(28038782, 81872801),List(5045103, 28122240),List(36029257, 45587029),List(70151851, 15789001),List(44131735, 65415865),List(59928580, 69075974),List(78958244, 32886170),List(40148557, 3467690),List(78492518, 13358497),List(93340063, 18147123),List(11474712, 6912663),List(74640961, 777),List(7003013, 88073507),List(57932589, 98370511),List(31099710, 69884873),List(43481369, 19450974),List(58891607, 67385817),List(54497973, 45400431),List(40927833, 37087417),List(44739085, 61620918),List(52926148, 75902806),List(24065899, 34760713),List(95233949, 83632268),List(80418514, 80007112),List(38953563, 40412543),List(7341513, 86393848),List(78745347, 5215751),List(71664026, 23941019),List(81226323, 15660166),List(69583545, 75304939),List(10384956, 49648663),List(1225705, 15963504),List(64515779, 7479455),List(97262766, 48960722),List(90125168, 35683542),List(54729758, 76019528),List(61547251, 85023199),List(39339183, 20574223),List(99062230, 34717115),List(21786110, 32715990),List(77376126, 51131909),List(49741653, 93457799),List(91332400, 83072422),List(809653, 44131848),List(66349280, 80657491),List(6505043, 56796570),List(57790702, 67622041),List(79884493, 7347963),List(15028140, 82117379),List(1015728, 41905572),List(55736995, 78995140),List(55202879, 36851657),List(96790933, 68741217),List(31479058, 96634682),List(29504093, 83233181),List(61658173, 52132837),List(19887253, 36125176),List(49786442, 69961822),List(21393950, 91262048),List(88547366, 50630510),List(77740899, 55854132),List(38962572, 15896261),List(92708083, 4628114),List(81684421, 36439306),List(9773091, 13276009),List(58382588, 71267559),List(95933906, 45831537),List(39130029, 75739881),List(77057500, 63284025),List(99880975, 8823883),List(24248322, 78537709),List(93688634, 11489138),List(96488258, 51201815),List(70947173, 61008702),List(52913565, 35034343),List(67173097, 55845348),List(26942601, 94665334),List(69169211, 82411731),List(89023225, 36203498),List(73649805, 67190320),List(14693521, 42175565),List(78332433, 89391122),List(24304453, 66552055),List(86639858, 21986321),List(86195365, 43246103),List(93143649, 84765956),List(93773765, 16039098),List(28441464, 5392427),List(54871721, 58506792),List(23824098, 69818368),List(82549419, 69866025),List(99542215, 21209282),List(56104382, 61704603),List(41053794, 78555143),List(81132741, 42687015),List(13941489, 25536173),List(74965878, 25035593),List(37373801, 87002695),List(85365197, 78932786),List(94646873, 14197934),List(37741697, 71435935),List(25111644, 4789917),List(70978765, 74820032),List(59990571, 27730033),List(70807750, 55683240),List(60961068, 69323923),List(66687444, 24920409),List(40047721, 58333000),List(79458989, 43715067),List(24863353, 94670127),List(97695920, 34066307),List(50289325, 85417308),List(56035274, 27363629),List(87618870, 62594220),List(67659486, 18356726),List(22641931, 71580258),List(78904852, 44536898),List(61091442, 54588793),List(36582184, 33270700),List(72523965, 25354629),List(88822891, 13092230),List(82547608, 44535282),List(3685980, 82616265),List(95794080, 61766858),List(81239958, 81791940),List(57146380, 45345459),List(32623431, 86727233),List(65777599, 30356636),List(72921731, 78559426),List(81905094, 36161066),List(12146809, 71390358),List(76843842, 65540958),List(23490097, 53119162),List(32484347, 16933450),List(22465502, 7454529),List(51504092, 97056615),List(15226494, 35599886),List(52399951, 89148212),List(27485052, 58946262),List(88978789, 82561646),List(26866246, 41542126),List(14564750, 73899051),List(76889162, 68169727),List(58143043, 84385057),List(70731298, 84653932),List(4083729, 68447941),List(25043253, 86881017),List(44298151, 15428368),List(88998458, 51599330),List(36704358, 18751405),List(62209032, 79620191),List(12043845, 11553962),List(79328198, 91982976),List(8718955, 78503842),List(42604382, 39740292),List(14563050, 94180447),List(93142478, 99737524),List(98072582, 31432543),List(87738920, 85591171),List(67342292, 43619194),List(30266092, 81697285),List(8460662, 88454029),List(28775259, 46218687),List(43701176, 59081514),List(29395455, 12222173),List(13645303, 27239222),List(78016347, 94565939),List(31635678, 96973258),List(48700507, 9269220),List(23452485, 12019061),List(90640278, 65315585),List(99889706, 37379960),List(68360999, 40536310),List(41357722, 18082391),List(30363699, 46851630),List(83716871, 75498591),List(21236503, 75365594),List(60500954, 53307714),List(40894346, 56502093),List(91130864, 59856671),List(73807094, 47967351),List(73884420, 49332939),List(78672621, 78301684),List(91311441, 15712271),List(37564195, 3320399),List(90464804, 95872697),List(35846233, 59982314),List(92366306, 47622625),List(94815774, 87464552),List(56367249, 29171025),List(74006482, 92003639),List(36720634, 20901259),List(74233405, 3596651),List(52103799, 20928284),List(7650050, 94770426),List(35950923, 58005985),List(70616095, 28318113),List(7879844, 56752610),List(33299865, 77767559),List(36292213, 20291794),List(56610884, 74231992),List(33582985, 96750967),List(76299016, 91525221),List(21212987, 98910283),List(22559253, 97794101),List(81577601, 65120684),List(43514908, 10510500),List(37402949, 13061042),List(40193927, 89847214),List(68562850, 48291619),List(41945721, 91744025),List(76622106, 49267923),List(61484999, 21766130),List(52402250, 17228042),List(63653361, 5192452),List(11838535, 55999161),List(77427679, 24212357),List(2642393, 44595513),List(42768204, 42998643),List(98541842, 4516847),List(26847115, 91439034),List(56984620, 33470761),List(85379871, 76058361),List(60573205, 26292990),List(88538282, 54923674),List(94707029, 897147),List(89750867, 41925057),List(11348274, 12051694),List(59407779, 56068359),List(16322472, 4843616),List(15522386, 9872518),List(7450893, 39992),List(6955564, 67796566),List(62012311, 94519620),List(13249081, 95337036),List(32400987, 67058586),List(63021489, 75263877),List(97660245, 96144329),List(33381942, 19475594),List(17290991, 86620627),List(85408081, 50038394),List(45593434, 85507848),List(92928159, 86869096),List(53847960, 67227702),List(96875802, 48505291),List(24740491, 30931048),List(62978731, 85333201),List(35097589, 973691),List(37221768, 51774670),List(32813708, 80193142),List(39564852, 82893582),List(61053618, 13951558),List(61316084, 58822634),List(80198592, 37553854),List(71890378, 29781233),List(38491918, 44558976),List(99185766, 7316302),List(76007921, 46731304),List(98887242, 23778053),List(96826865, 40915890),List(93978102, 8858847),List(32896987, 50586235),List(60712755, 4434830),List(5586500, 38217188),List(63971593, 22128091),List(12512580, 83716867),List(41739595, 83932707),List(13868029, 18180442),List(39921333, 49557458),List(54935240, 17473475),List(11025886, 99111741),List(49910802, 33509896),List(53690294, 41493482),List(22259111, 72488485),List(72014612, 29691180),List(79807979, 35713473),List(11265883, 40199147),List(44353662, 18071682),List(4269210, 9806478),List(81489400, 93954110),List(53160011, 8102776),List(79222304, 29163978),List(71294295, 52405715),List(60638859, 5370416),List(6978923, 15785411),List(28319103, 15582734),List(58200660, 54868314),List(67972311, 93075546),List(74364056, 96306053),List(54048018, 82737498),List(52533903, 84067315),List(50895237, 79804541),List(56021043, 67425656),List(91468043, 89372138),List(67283709, 60780848),List(39731496, 10643424),List(11436887, 670166),List(29856160, 33387795),List(34053689, 80110806),List(54473089, 59973495),List(61604251, 59266299),List(11564261, 18637596),List(36843074, 27632172),List(98403554, 46981238),List(15985183, 96342394),List(7048109, 12262853),List(15686823, 36861405),List(57549736, 60891199),List(52148188, 25877725),List(47022678, 9873040),List(83562836, 48714832),List(78495486, 23860208),List(37098886, 32313886),List(12587356, 71061584),List(11981489, 31577942),List(99516199, 95120699),List(80456896, 42911110),List(8089354, 81974550),List(21065567, 98011082),List(27706228, 64782367),List(749078, 3433501),List(53006621, 53205695),List(90212128, 89993194),List(7671154, 94403759),List(97975619, 4155878),List(71755382, 15868032),List(7026388, 28818937),List(36635391, 92737837),List(24812321, 7621983),List(51036232, 5522937),List(82497809, 24018472),List(220162, 40239850),List(91210971, 1062619),List(79354069, 96547380),List(84596251, 25827539),List(45892265, 93149267),List(42272412, 96173762),List(29193884, 7408796),List(40452819, 41526605),List(15411131, 18725841),List(76231638, 44384401),List(89518889, 11013625),List(86805880, 80262991),List(29003574, 53810036),List(14344315, 80919038),List(10968451, 624659),List(87860694, 96074746),List(47257394, 19065134),List(25663381, 89338922),List(62748456, 75916527),List(48270550, 37145690),List(90241435, 24803658),List(26679311, 63898163),List(41812090, 78143625),List(81322518, 98056871),List(98209785, 23114948),List(75413806, 36625725),List(77181848, 77369582),List(32736197, 48867770),List(60957314, 17758476),List(21652112, 87826107),List(90647291, 96266685),List(30820395, 62291781),List(5141895, 28381719),List(46515885, 13654699),List(37890490, 96937084),List(11233717, 81754683),List(88248551, 62211259),List(49980814, 92708371),List(87849873, 51407764),List(3808747, 41235107),List(85462076, 83336837),List(48833981, 22830367),List(91396321, 45843948),List(71433257, 70977069),List(20336798, 73525766),List(40234001, 28467925),List(53181483, 6189489),List(38694943, 81269395),List(92356666, 84797779),List(78765808, 88748303),List(90422210, 84194246),List(82090385, 47473473),List(48279216, 80358178),List(98151426, 97195027),List(229826, 80474878),List(24727338, 54899954),List(41125471, 90327529),List(23564555, 81666789),List(54751909, 62577464),List(8023974, 2523944),List(53170245, 78579276),List(19730546, 87351783),List(15479718, 13345483),List(85888873, 15305639),List(85301349, 41474962),List(47443120, 22334942),List(32348591, 2058484),List(36966899, 28286506),List(61552005, 45799721),List(18582522, 9775761),List(51256044, 91897702),List(85685198, 41579911),List(60944916, 42190593),List(59674234, 33924205),List(36989059, 95206710),List(35239524, 40180640),List(51348885, 776307),List(99725384, 3482959),List(32180107, 17923199),List(6151937, 98087128),List(42281028, 58206312),List(84837461, 29198833),List(49792647, 84625532),List(35914412, 96827587),List(40056916, 87229162),List(53541242, 30328581),List(41974092, 51503008),List(47962459, 46811089),List(53170402, 36308568),List(53116638, 28749967),List(34893515, 56904751),List(97430758, 92849073),List(43733607, 61199531),List(2080596, 2781200),List(75449309, 22967359),List(81947919, 33582149),List(60656957, 28077403),List(99292954, 19613232),List(9346882, 26150982),List(4540062, 28374978),List(99407306, 12850186),List(98595133, 52149791),List(72159452, 80971304),List(91543060, 47563031),List(99108005, 94489595),List(65751606, 85556411),List(70465905, 22665048),List(25584937, 22940863),List(95786375, 89435666),List(86912423, 83072665),List(76581425, 7548663),List(79537881, 85664775),List(53587184, 55479742),List(92822053, 69399663),List(80107676, 81878756),List(28446586, 87629981),List(20803947, 44159009),List(38781927, 27991678),List(50864784, 33695089),List(16262575, 96356129),List(4246235, 87095050),List(20448019, 98937031),List(22512793, 28971925),List(35514525, 36343355),List(35070979, 78013712),List(56057446, 55334699),List(94608927, 5686546),List(85279609, 63028170),List(39556131, 56394633),List(15168207, 1752067),List(46224741, 35776522),List(72289418, 33120441),List(22727716, 80452457),List(16000353, 32047236),List(78009013, 28284825),List(29373027, 14143467),List(7642074, 82411398),List(36009980, 4542534),List(40899771, 20708612),List(89407235, 5864651),List(11703018, 58450972),List(1079762, 57061289),List(64742467, 7051942),List(48171754, 64887399),List(57245509, 39795591),List(62893361, 94964778),List(86414957, 29141179),List(30251401, 51679480),List(99333549, 93189972),List(24577589, 41219804),List(88345176, 92750751),List(39205741, 55579746),List(97305624, 3076303),List(76964096, 32290236),List(16009402, 75270008),List(28508149, 61072219),List(538801, 49641218),List(95462924, 24221404),List(73406815, 64587969),List(99097817, 85901759),List(19579025, 88813160),List(57924288, 55623508),List(2282277, 27914366),List(73874149, 23279448),List(16947433, 10664824),List(44395260, 37590918),List(78441893, 23909229),List(82018671, 13860002),List(15694394, 47608524),List(57017561, 96353789),List(71946072, 31705201),List(86432120, 55138526),List(18935388, 82214287),List(88144240, 71973369),List(97817623, 72831976),List(79354150, 24396940),List(3680614, 5479232),List(68149995, 14329255),List(98222475, 13488514),List(46416076, 91802955),List(58858544, 91694856),List(78031986, 87882357),List(42237325, 45428435),List(34970062, 67268505),List(33446624, 53353172),List(1727184, 10055368),List(1914385, 95493620),List(99805177, 6083095),List(49690706, 68059246),List(33389907, 67404541),List(25636078, 40268079),List(36409602, 90567861),List(88763728, 41669367),List(11135964, 20050459),List(21082731, 4511923),List(83162705, 70720970),List(50988422, 86026380),List(90543142, 15220115),List(35652720, 67678398),List(79351150, 62035468),List(71692257, 10969864),List(24991592, 1834431),List(57839797, 89624596),List(18896128, 80161029),List(1317199, 61062502),List(17489837, 71413372),List(74018704, 63139638),List(45021596, 92490438),List(81148951, 65194748),List(41163026, 50656673),List(83367952, 36499426),List(81631113, 56174812),List(20542225, 73683848),List(77022894, 45206223),List(33705926, 94139681),List(49676897, 10624165),List(45338105, 15209520),List(74794732, 83969714),List(73012985, 94612717),List(70311192, 95917029),List(6413686, 24221279),List(82480980, 10848502),List(82652897, 63988275),List(99651827, 14455323),List(36122159, 67846626),List(29937111, 46225907),List(6984042, 84070730),List(63800399, 80266009),List(30839283, 35405531),List(70580283, 33187486),List(15120196, 9534985),List(52034533, 68663181),List(80711359, 47758479),List(71415732, 38874278),List(18264482, 53840628),List(35669950, 99904446),List(38882408, 58174677),List(39553677, 51110742),List(62062466, 56229791),List(72088759, 96446958),List(74807513, 62311292),List(59589706, 34541930),List(12163652, 56739058),List(1520305, 59578499),List(43183495, 61377403),List(66162637, 73271359),List(97914223, 84766978),List(72784909, 39916581),List(67072696, 98857989),List(19033906, 47658493),List(44876507, 55588471),List(60268013, 65633622),List(62406915, 74503314),List(82008684, 34484758),List(92483853, 17394228),List(22555641, 20988495),List(53361541, 78202113),List(24166963, 11451781),List(88994873, 18639042),List(91125668, 150587),List(89112943, 23166063),List(57967605, 49413842),List(98983785, 25387612),List(3199257, 4010233),List(92855830, 10450800),List(37660142, 83573019),List(74032906, 27250197),List(49374171, 2532518),List(98237002, 53104044),List(86149369, 92787530),List(58671319, 85350930),List(55950817, 80692684),List(78778249, 53518324),List(717822, 65706416),List(9163006, 96241395),List(17109572, 85321899),List(71073682, 88587217),List(97500047, 32365305),List(98495375, 40487381),List(91192661, 3192277),List(78049576, 62715326),List(1700880, 6868811),List(21518850, 65703987),List(48549207, 49183941),List(23508450, 88774222),List(46417251, 41174197),List(60186175, 86913803),List(44412119, 55440357),List(23256676, 11726789),List(26061586, 88837682),List(35725124, 92341709),List(39465060, 22584991),List(52006304, 23142247),List(45589420, 33243036),List(58785776, 33066222),List(20070618, 44642266),List(20301043, 5905737),List(33944142, 57264026),List(67840572, 16535669),List(28625454, 71259599),List(76879648, 37789899),List(10621526, 76067488),List(25497824, 54364213),List(9506892, 49934761),List(94223920, 92902608),List(63811145, 90008208),List(62980899, 34064403),List(50341233, 15816602),List(31812363, 49304810),List(7676308, 74277694),List(82252851, 14487672),List(530179, 90120097),List(38671712, 99183957),List(66025959, 5728558),List(56800915, 76135646),List(35380704, 60943472),List(16696750, 69674947),List(64282254, 15460971),List(31289907, 99594957),List(15142473, 81356003),List(34183300, 5088594),List(22139481, 32275085),List(47612357, 81863314),List(30797972, 60260476),List(38180999, 33564478),List(72350245, 75588199),List(34620427, 24706579),List(63996626, 36266100),List(36313051, 93606613),List(33217989, 93111537),List(52704611, 55681098),List(57224189, 74953282),List(22330952, 96787029),List(53260666, 81465146),List(64249893, 29582616),List(72134000, 48999898),List(97876370, 59777683),List(85949017, 70696335),List(30793386, 96521380),List(94270846, 70496404),List(92181851, 21949196),List(10454709, 12825878),List(93672395, 31014905),List(12029100, 17495315),List(18227766, 41629298),List(98706972, 49257975),List(78730940, 72115549),List(74187429, 84054151),List(91024049, 18100989),List(70396216, 18852610),List(63597312, 84488604),List(74120703, 79667153),List(43543660, 41148291),List(75766528, 47266437),List(90884551, 73685267),List(88779007, 85055566),List(18641552, 27637628),List(77628684, 41087841),List(10430036, 54257407),List(99186909, 20246812),List(75711488, 62979466),List(95347989, 60605403),List(88548165, 44600495),List(1996092, 9673550),List(20046439, 72664050),List(84678104, 40780356),List(12638873, 34139255),List(49692680, 41476847),List(98391831, 82911718),List(76396060, 68938473),List(61843697, 73233262),List(14037747, 26326592),List(16805566, 10654937),List(9862969, 8792429),List(62578955, 32497771),List(28768760, 13850023),List(58673512, 38206091),List(62665789, 29538266),List(13494372, 97151975),List(73809329, 2904551),List(34054373, 85445961),List(59908961, 74594876),List(86834279, 68334315),List(84579815, 70804669),List(46241309, 51508821),List(76612936, 62492009),List(53344492, 3504102),List(89241333, 74428891),List(38983989, 91886421),List(11977618, 72811543),List(38653055, 98007575),List(36048965, 36000097),List(5152844, 58190548),List(11542875, 74813275),List(68880956, 37253449),List(33860777, 19531164),List(58954271, 5673390),List(85528066, 17671459),List(23694925, 74657844),List(67539369, 62669909),List(46879150, 27894763),List(41519657, 25810257),List(30354105, 41760183),List(65703334, 94926646),List(92985510, 5251399),List(2278306, 85484737),List(77936611, 1701241),List(76143969, 71463275),List(43937875, 2912175),List(71006483, 51187599),List(20482739, 72770230),List(95048775, 16471842),List(53404067, 86150573),List(37239819, 12410069),List(80026772, 87612048),List(56638777, 72827206),List(16438642, 40062751),List(48011256, 68603820),List(18309122, 4364674),List(55177114, 94890301),List(10411075, 57993738),List(46002412, 12751190),List(24861908, 37559736),List(79578978, 29648553),List(87651510, 94437231),List(56501173, 28694067),List(14216344, 31925598),List(73878272, 35239746),List(18696594, 62431728),List(42891324, 43233806),List(8027687, 58606813),List(89902615, 48194351),List(47156912, 65981530),List(6625707, 60727578),List(99642869, 73850111),List(58480340, 20343988),List(68081648, 57974572),List(73574282, 58890982),List(15495587, 50268772),List(95303485, 1427772),List(17058741, 86218804),List(48007408, 84597837),List(3824360, 68018308),List(27895135, 85568555),List(91010050, 60233061),List(54796580, 14187527),List(24741221, 31729448),List(73056374, 9052558),List(74885035, 97818617),List(1413580, 72679688),List(85906910, 86019740),List(36608795, 36065289),List(13054970, 99491242),List(58915987, 87829221),List(39514687, 94308865),List(28555640, 49531722),List(65584938, 33935559),List(94103504, 54001980),List(93150459, 46045549),List(31775546, 81113356),List(17980133, 22792479),List(48857354, 69974147),List(71514325, 71276033),List(99260113, 81055756),List(15534737, 1258487),List(88863608, 85396541),List(66575175, 74356879),List(49927838, 83529492),List(48605584, 61592160),List(35683017, 87968893),List(17212940, 21181524),List(39538350, 41518284),List(2501230, 55299378),List(40586167, 32581402),List(26460627, 98474672),List(46659463, 12852703),List(15612613, 94935439),List(63929667, 20742587),List(14141238, 48584619),List(62753225, 410674),List(38566116, 55802749),List(74510206, 90413909),List(92185817, 42040540),List(97451229, 83965328),List(41654383, 76482808),List(39766243, 59307818),List(14877089, 33144414),List(47721638, 66325259),List(19091202, 1249550),List(12716885, 20436846),List(69921326, 63072042),List(87752411, 2918943),List(7233384, 13327874),List(49611329, 44623337),List(71996442, 51975041),List(31890439, 44182100),List(2648427, 41472124),List(58228727, 27831065),List(18143170, 87096777),List(71115942, 91089666),List(32773063, 25702134),List(56578018, 76026657),List(6919289, 96000205),List(50968381, 12045623),List(71241817, 23731747),List(40927629, 21663900),List(60216800, 23308413),List(28101319, 37514028),List(45076739, 77588068),List(34522429, 15936127),List(52582734, 49104661),List(78738750, 19995811),List(11972817, 71646124),List(4515141, 51072197),List(10532341, 87431934),List(18945668, 25193240),List(65066127, 73058558),List(9450465, 14933634),List(54323441, 23326678),List(88733174, 59691181),List(34186525, 73210343),List(10032940, 28535411),List(56186943, 32927285),List(62960933, 18602692),List(35319472, 84409082),List(86749194, 58035084),List(7571753, 3200855),List(60633679, 68789381),List(71813488, 28064934),List(13752585, 57887071),List(51910351, 40780681),List(97297826, 72370991),List(42849450, 37416130),List(18842418, 69950411),List(66011233, 78584819),List(585445, 30832782),List(13430670, 62538049),List(84760358, 5567234),List(38662126, 39890379),List(22138999, 7904140),List(30806160, 26724763),List(42337247, 95904413),List(20483642, 32808595),List(86672950, 63852456),List(48243759, 43762329),List(48236571, 6187305),List(340769, 43154073),List(52577379, 13616640),List(77895921, 28515848),List(97765927, 56383261),List(44258350, 8324780),List(3503080, 71996463),List(31488296, 70324456),List(11894118, 4473294),List(72934439, 58844666),List(29146327, 74618600),List(13330693, 56738286),List(96572279, 80860774),List(87439389, 68855256),List(38758535, 71688126),List(18736671, 69246033),List(78580651, 62670920),List(85287527, 86282734),List(81652458, 48623391),List(93329961, 80136968),List(60756864, 73553646),List(74357852, 2062395),List(80029695, 88910484),List(99313244, 78515575),List(47549777, 41611658),List(64928996, 80122895),List(64356774, 98101212),List(76674903, 3501762),List(29358930, 36126797),List(78740477, 81403905),List(2041190, 58287927),List(53081556, 30966447),List(14339738, 79642162),List(92239760, 81098695),List(95971081, 92704254),List(98005562, 88399196),List(7476830, 29259856),List(46337982, 58093221),List(7743961, 54366523),List(90945394, 9900754),List(44910352, 50859324),List(40679417, 38214223),List(58528680, 68372016),List(39638929, 17087122),List(13293584, 45334136),List(63821390, 85534566),List(46020715, 40968235),List(73371366, 1404737),List(1508578, 93166108),List(38963397, 86976068),List(82444262, 4655875),List(16925893, 37344809),List(85479759, 39609867),List(1778510, 20566884),List(13362192, 70403349),List(20025884, 34397523),List(28378394, 1926854),List(27957888, 87126130),List(61387418, 18698029),List(29649066, 92419386),List(82394648, 95498135),List(80902268, 65869357),List(42487297, 71670844),List(60786746, 42824727),List(61810837, 35723318),List(68146864, 55198929),List(5724820, 41440406),List(23307117, 74606280),List(25665909, 30380639),List(24194906, 99051047),List(21032313, 44625105),List(81492011, 24570526),List(36385236, 39154381),List(78107119, 944147),List(21530949, 34673823),List(23174284, 20026774),List(15561115, 70363149),List(18305879, 36189814),List(23449167, 97096945),List(78849731, 38211350),List(95946653, 70768782),List(61730534, 67468759),List(59227500, 74842079),List(90329505, 71753784),List(70663986, 67703523),List(77023973, 34159262),List(42919145, 23322677),List(57817485, 75533428),List(34833538, 88279823),List(52059088, 28690614),List(85509625, 59390212),List(29039801, 22084453),List(71659529, 36473005),List(1847353, 87004190),List(95228533, 13723313),List(62063585, 14908365),List(38249216, 68707622),List(62100950, 46203635),List(84954756, 43350259),List(90028014, 52996934),List(27511265, 20001266),List(38870805, 18900640),List(65210108, 50571303),List(68030001, 72535763),List(74042142, 89288),List(79193604, 55757702),List(76097021, 93306838),List(31405470, 30909081),List(52951438, 21443120),List(16122143, 23710501),List(54305180, 17698530),List(19767437, 46271618),List(92408829, 55457624),List(85885435, 68108897),List(11383923, 92832009),List(84433553, 10711930),List(95293378, 2840712),List(7629508, 63879697),List(78372072, 17435258),List(10482740, 16377),List(32138749, 28083344),List(24871947, 65192823),List(60139279, 95294305),List(3368487, 41237954),List(66658431, 93993062),List(36829415, 38062542),List(38912444, 46856037),List(86181983, 34928698),List(13417078, 75016314),List(19355654, 443976),List(10885442, 95996062),List(72169919, 32053336),List(89382742, 45961903),List(91902239, 40398535),List(95450333, 60177895),List(93791190, 39489067),List(26587349, 62409972),List(88774015, 92445073),List(57913765, 74148920),List(22923199, 18497332),List(90808951, 91318446),List(94876149, 83898308),List(65736069, 11683786),List(20919827, 49163390),List(82533669, 32167209),List(7088631, 74059646),List(15524887, 27738146),List(56296075, 8944754),List(40282417, 1468865),List(68596320, 12466612),List(13627712, 643502),List(72624321, 46565796),List(80018518, 63536595),List(86631932, 67847150),List(46292923, 16921866),List(23419906, 46085375),List(89703217, 28207411),List(5460158, 47094824),List(84867802, 70067804),List(87223338, 2592669),List(47400439, 4231975),List(80575295, 60691554),List(77014043, 96742553),List(47297994, 92229325),List(5126947, 19156102),List(94642152, 1700523),List(56294215, 46667185),List(58619190, 23729008),List(65911422, 87468027),List(94905491, 96608214),List(32958138, 86258451),List(56932563, 84054192),List(34142712, 95201241),List(78380695, 53850576),List(12502818, 77331261),List(1831394, 20402174),List(93819950, 33942460),List(47095917, 2671230),List(18481746, 92971506),List(61404889, 97196167),List(97801402, 30431139),List(97437927, 87526883),List(13734962, 87149369),List(45560697, 15398022),List(1021965, 48167605),List(97529889, 84046610),List(56123406, 86796140),List(3184960, 51180398),List(24835031, 76478265),List(63062579, 72126866),List(28720267, 53665854),List(79677372, 60631381),List(41634124, 22626080),List(637680, 88837464),List(69141984, 99151509),List(85777472, 22616737),List(71057471, 99022941),List(29442757, 59588288),List(77090251, 8169250),List(34051184, 31608251),List(6237578, 78879876),List(95952452, 66482334),List(4973496, 67858933),List(93140097, 15341317),List(79266992, 48370688),List(27569954, 12674008),List(83557122, 72936767),List(66710124, 32280718),List(49268832, 28390021),List(51485003, 7423832),List(62569638, 59807883),List(23621976, 16619057),List(12080385, 11881012),List(5606709, 28954329),List(72170815, 23436764),List(36086596, 94437497),List(77413457, 75583524),List(34283112, 46783723),List(96399004, 7082328),List(99102769, 28741855),List(70871052, 68478022),List(33689818, 41738748),List(38014052, 61287553),List(80114774, 4591340),List(13174867, 82115757),List(74831646, 66064010),List(28946551, 91681260),List(69495852, 86765213),List(40618098, 56496766),List(27538896, 89349369),List(26856953, 57462954),List(23602227, 84139798),List(91550808, 5157515),List(85666654, 61410817),List(65260348, 35502157),List(26962235, 23031387),List(63775419, 15691635),List(61747074, 3698446),List(50677303, 27750335),List(54726545, 84547855),List(32234392, 85402206),List(2575680, 21371098),List(51008765, 36191706),List(32278663, 72616019),List(69008390, 63151725),List(69550573, 72882440),List(562374, 66628350),List(98375068, 4672311),List(50797938, 92935103),List(33043025, 54091170),List(24791639, 32715530),List(29614859, 85737189),List(27139079, 45655601),List(18965219, 66224052),List(77889454, 17271926),List(7969999, 40507170),List(53985628, 65527859),List(79191394, 27824329),List(11245620, 75012820),List(99871491, 96669756),List(51134824, 14674038),List(84294510, 61601950),List(61257480, 15543417),List(35628004, 87296433),List(85584140, 94163339),List(37662878, 37145254),List(52944838, 51220699),List(56281617, 63783577),List(15896883, 30141477),List(74245563, 92633634),List(66859301, 59378349),List(77580214, 97876685),List(51465699, 50689656),List(85614361, 11565403),List(88784080, 65152722),List(10208129, 28555751),List(16374748, 44657540),List(47693163, 80426142),List(27365816, 38840573),List(94811393, 18224728),List(8539412, 58863053),List(62715369, 4085041),List(29872789, 83328586),List(36663471, 40582374),List(37614204, 20812642),List(50054057, 40666024),List(93173569, 32846906),List(34972431, 39762993),List(14730926, 87008225),List(8896044, 66011542),List(77347304, 86574884),List(38660399, 49471432),List(56514750, 49807954),List(26641905, 43736819),List(76966652, 78085635),List(65238788, 27841220),List(36595033, 2095485),List(50995446, 49647330),List(44724157, 87674385),List(71282915, 65744015),List(5226291, 39574302),List(55362188, 20938996),List(73414952, 27828036),List(87223621, 84369754),List(19555872, 52586508),List(30667028, 65694109),List(97409846, 10912463),List(22941043, 45710529),List(95362098, 68753087),List(92014409, 1327098),List(36949808, 90342087),List(2480068, 64657556),List(59572499, 17394118),List(44178217, 57112566),List(36100085, 21397352),List(39948276, 89316926),List(17224337, 39087027),List(84199401, 13564601),List(47276319, 74737380),List(49328059, 95650334),List(33962727, 49075212),List(60918845, 88136747),List(41131711, 98235331),List(99819497, 83737819),List(21262663, 91254123),List(59853095, 17724458),List(95917273, 1705956),List(2615545, 49292490),List(24054595, 37690127),List(57690330, 57788541),List(21502034, 62726772),List(2878857, 47492623),List(27516860, 43166696),List(56088348, 92422065),List(92885227, 2942724),List(2276194, 43754876),List(29835609, 87793859),List(78287595, 11559029),List(38221945, 68261965),List(62927549, 84501324),List(68511386, 37045878),List(7743994, 19765923),List(85663919, 96492045),List(52341733, 24873224),List(19606621, 75196545),List(1113312, 536946),List(3323088, 37415665),List(42700558, 19191774),List(42728451, 36023482),List(86092654, 23848398),List(93007522, 6841857),List(23188168, 1857659),List(62728042, 71506432),List(9836851, 6011297),List(73536921, 83061950),List(89364506, 32048192),List(4834664, 23903447),List(20838170, 52649153),List(34032470, 36831726),List(42281872, 14970766),List(19762808, 66327770),List(98436395, 50997963),List(1974224, 83399989),List(27622023, 37870711),List(46346337, 95357294),List(40948441, 44678085),List(39124775, 52536010),List(44405, 58359813),List(99965225, 65531824),List(46411515, 72679875),List(44300211, 65361825),List(72192726, 41090796),List(53214971, 76123648),List(27412053, 43886978),List(61785407, 58905207),List(52120932, 3004425),List(18764616, 14888063),List(20473517, 47711183),List(31912225, 21740367),List(44475813, 36374134),List(39358046, 99660819),List(47834926, 13189184),List(62463594, 43142515),List(4149630, 98915775),List(81333575, 29358856),List(1367523, 34205387),List(78930424, 85276229),List(16991291, 77215153),List(78840025, 94936019),List(30795481, 66388496),List(804383, 49338363),List(12856347, 33421236),List(38100298, 65132063),List(49438543, 59015050),List(93053318, 91453230),List(30954155, 93638329),List(56864866, 31512435),List(57106074, 7370742),List(88627207, 99117290),List(35358355, 89468389),List(79493486, 45124047),List(38842617, 96163887),List(83139121, 16558933),List(4027468, 87477395),List(29131759, 30972796),List(83084435, 28826474),List(55992256, 19436955),List(84616721, 27711863),List(10721422, 58903173),List(99251888, 63205716),List(3216067, 92451407),List(21978618, 56644498),List(45248892, 77000109),List(45903789, 94037196),List(8369735, 96304746),List(71763714, 96289919),List(3139383, 38252411),List(68783875, 12046680),List(34369673, 64793743),List(51820404, 92834351),List(3547148, 25297781),List(19308018, 9725496),List(22919371, 82467154),List(38224937, 76082133),List(92232410, 68471578),List(62359356, 88152640),List(3687408, 16307053),List(27076900, 154642),List(87286545, 19419155),List(63743690, 57342410),List(8754824, 6281465),List(68814608, 86239421),List(28922808, 48504286),List(28543244, 15142105),List(40042625, 84055484),List(59116412, 93211899),List(20456857, 8165509),List(11264711, 54274066),List(14607576, 83803927),List(80176193, 54910985),List(58295194, 89020413),List(73811133, 51599673),List(90018671, 3450574),List(69537927, 35559285),List(28639596, 33054555),List(99063926, 2867074),List(65732059, 86379808),List(60371535, 83080082),List(24844458, 4542147),List(12467834, 73275069),List(39604433, 52697393),List(25429268, 58405258),List(92656963, 20617825),List(29175549, 31167946),List(63089062, 1746960),List(48200819, 39185579),List(12711068, 75433966),List(90314743, 80058297),List(64900075, 97559837),List(22327406, 33168289),List(23455630, 64794385),List(85318876, 86644373),List(15399261, 88494508),List(74913805, 37982522),List(1296523, 1760083),List(11572921, 74548385),List(97628492, 53347719),List(67548724, 28383863),List(96236816, 35548024),List(78523033, 43449721),List(22673685, 25135377),List(48457616, 78919705),List(80329346, 46359568),List(80129628, 88738038),List(39077179, 3886028),List(21909277, 36739384),List(46429146, 18261194),List(57489330, 26140598),List(71391328, 75279039),List(28222293, 21922942),List(82879756, 73039820),List(86447214, 34443414),List(11453321, 88595506),List(75358646, 38686361),List(39161040, 66296193),List(73159367, 84753138),List(84748877, 87694934),List(2490649, 54212289),List(58047231, 86045394),List(3282829, 11599943),List(51625175, 22403089),List(68082459, 73444925),List(7068849, 82129853),List(35494172, 25604174),List(90583370, 64335279),List(50799110, 4990759),List(29792415, 93493848),List(63625473, 60345831),List(359532, 78606067),List(24218208, 83865586),List(47422272, 89407904),List(77327589, 66320347),List(56186449, 60413030),List(1174435, 29631756),List(13179420, 17714297),List(13131005, 44778575),List(83985949, 22872599),List(83391373, 64238612),List(84994247, 52302496),List(41363182, 60537312),List(51965711, 37832102),List(71924566, 77681993),List(10428295, 84158569),List(52784803, 80602881),List(54036512, 93370690),List(72516660, 12512317),List(23616221, 22595838),List(70228396, 45111861),List(42516351, 53129601),List(21579354, 38618988),List(58217428, 79812107),List(78744987, 47233039),List(80326095, 88217847),List(12275625, 34515614),List(84986174, 71121724),List(48536862, 29696664),List(53858306, 36059146),List(68790180, 86886414),List(8680080, 65192175),List(99872191, 6135226),List(43730513, 69438660),List(81352382, 72454422),List(9363834, 3666027),List(62503803, 87539239),List(80832346, 45806480),List(26613172, 89769697),List(54700036, 50795095),List(85615560, 47612173),List(67098822, 35796465),List(48429499, 5277754),List(60852915, 31753656),List(81178573, 53537627),List(69932579, 30582043),List(78329994, 22973336),List(79391424, 89850668),List(24708245, 40203485),List(94677923, 67582751),List(44928044, 41804196),List(55424396, 74962852),List(79542634, 83116185),List(8953735, 15236544),List(64941325, 38548929),List(52792214, 96657447),List(67713148, 35589945),List(36876665, 35158313),List(90872616, 82414150),List(82322985, 56705242),List(92068667, 67042153),List(36651329, 89232750),List(79024262, 85343943),List(96964848, 52870466),List(2408878, 16156655),List(86251173, 78693242),List(73634954, 31035360),List(73024091, 18034462),List(31678462, 95460883),List(34432986, 80542822),List(33739171, 28309158),List(60198284, 12604000),List(31628022, 67387076),List(51435794, 58704688),List(5218105, 43946658),List(75475971, 36642894),List(42141946, 39507729),List(75801237, 5552524),List(75002263, 98588569),List(19567471, 31913310),List(49907594, 51967714),List(56030622, 24182929),List(18823679, 64693100),List(56487611, 80926375),List(49769002, 80848844),List(79495906, 50161960),List(9683586, 79516721),List(65947078, 21912997),List(67696499, 62920608),List(79916410, 62845904),List(80358551, 89683762),List(48131106, 81039753),List(72701970, 73695918),List(20427019, 64243621),List(94043104, 87372271),List(48885543, 76607196),List(50812368, 62280893),List(64120972, 55115494),List(11649073, 75991025),List(16209045, 68318731),List(96810108, 69836079),List(43538237, 61834990),List(47302244, 95754346),List(74893538, 64921158),List(12737223, 42842748),List(46846070, 64966991),List(45794363, 15541943),List(72868043, 55940911),List(84971313, 57084870),List(66201159, 24287495),List(42044205, 55281295),List(73633332, 52559658),List(73796254, 78546805),List(56020115, 42041450),List(55349959, 52288863),List(85936415, 54031566),List(58635786, 11114907),List(39931047, 22388879),List(17065634, 63323620),List(94588095, 64460377),List(67342826, 96423939),List(16191598, 37523771),List(9815795, 68557479),List(64448970, 48549299),List(36296259, 68008645),List(51353513, 93007736),List(37954615, 55943282),List(72781585, 68088028),List(54784758, 23183293),List(3513714, 41175406),List(80349305, 89269121),List(55760738, 64489424),List(70234782, 14611810),List(25659925, 87532836),List(2064837, 8487451),List(91210214, 89372132),List(40054166, 75505183),List(10519211, 8731224),List(97745720, 70165468),List(5939254, 89447596),List(15554913, 67900544),List(15298956, 93753058),List(87637933, 67152896),List(93484699, 95963698),List(16757812, 32774016),List(78412277, 44766335),List(24824655, 33338323),List(63693643, 94265184),List(79486047, 39748269),List(46350326, 31048758),List(11426330, 71816281),List(37396643, 5883239),List(83971836, 90779791),List(98662276, 37448911),List(37993108, 69767839),List(80663509, 63938982),List(45726275, 56190708),List(74460600, 96052567),List(6161131, 61837250),List(50005338, 1770466),List(64681366, 12951105),List(54487900, 11395578),List(96685605, 28448939),List(79533522, 94143106),List(2284259, 33685681),List(8975196, 24139649),List(89482351, 34981241),List(20781230, 74780953),List(72817585, 78414056),List(59203106, 97603272),List(76255202, 64201420),List(19707104, 74711151),List(57634508, 88551283),List(15193683, 39484952),List(92018663, 42533843),List(48845728, 53821812),List(31481849, 94872345),List(55000516, 72682662),List(80263912, 39010830),List(20316815, 90266001),List(64622494, 86801535),List(9047890, 88376880),List(63116977, 39532906),List(97056367, 90790355),List(52203341, 96791403),List(7246135, 15522299),List(85502066, 2568615),List(85454340, 36466068),List(15334970, 8336671),List(27395013, 94333163),List(39379723, 91502501),List(51228930, 22355000),List(63115261, 36073726),List(45473481, 76073078),List(29253713, 14726358),List(234636, 16991856),List(61549070, 17592842),List(99685215, 47357936),List(58839879, 68159115),List(10384852, 82954936),List(81293281, 36261432),List(84550503, 54416256),List(28598824, 18648663),List(8845354, 71451747),List(15386701, 29967658),List(63289037, 29604662),List(1095092, 7075521),List(47287989, 32149858),List(54743591, 25580699),List(13492779, 19861910),List(60281997, 43031129),List(55117641, 39886120),List(42612180, 8654649),List(19266420, 76056552),List(46803092, 24044415),List(23976053, 11518398),List(84455422, 69440206),List(29077288, 26429645),List(68257026, 81850520),List(8798590, 53308330),List(68280454, 73659502),List(83931608, 53192401),List(99831532, 25962565),List(38554605, 46589725),List(27787368, 2205536),List(57578390, 23225447),List(79552323, 22993176),List(24300934, 57636421),List(76370285, 77516533),List(5526522, 96515565),List(10938484, 95364985),List(606350, 74054992),List(90049000, 61875303),List(74187090, 67709177),List(6732011, 93402446),List(9691314, 51583320),List(16636011, 20760348),List(20847637, 74169477),List(91382210, 75082548),List(30253717, 606241),List(65189699, 60030205),List(11776588, 3771576),List(38905568, 52146913),List(28666455, 28548091),List(20944200, 13836709),List(20760714, 84291970),List(94720444, 94546272),List(38560542, 94507744),List(62810037, 11593703),List(89516557, 56218714),List(8254879, 15188974),List(88367107, 81967251),List(48498677, 41638691),List(12530603, 74626877),List(31458694, 28249372),List(64272485, 19126647),List(25235841, 44079202),List(36823613, 1512101),List(16403231, 50610692),List(54619466, 32241471),List(4446362, 39651066),List(56388077, 19741588),List(79170811, 88789290),List(53383032, 51080893),List(79639295, 1223864),List(71940780, 6586268),List(8975208, 92863410),List(25372904, 56830301),List(652167, 76178025),List(59762950, 25298599),List(40588413, 46222133),List(48762405, 14907538),List(19465960, 85195479),List(91838759, 96236005),List(31104000, 96020949),List(48360424, 31512561),List(19262995, 59771665),List(84295790, 58913638),List(2460266, 86790246),List(45731568, 11346992),List(5074965, 97876023),List(50934976, 47917940),List(84603999, 11708843),List(82232425, 3428372),List(19227930, 34774986),List(22776736, 18719378),List(42597053, 50241692),List(94800608, 49407203),List(89752728, 42880128),List(20177674, 56109789),List(56092327, 79116251),List(23035151, 53559895),List(37828729, 89228119),List(3857674, 65163964),List(3455843, 77175327),List(22553631, 1669856),List(31249712, 32175225),List(9588375, 53365245),List(36486975, 85488667),List(53794384, 33372357),List(63829962, 67718847),List(67550312, 53457118),List(40098204, 84769477),List(85672369, 96032478),List(95922526, 1262275),List(55601004, 92941884),List(66180452, 73120350),List(89507787, 42974617),List(45359077, 47006632),List(56626799, 97157409),List(2819739, 58619109),List(73917115, 9513797),List(45420771, 75647795),List(18949989, 72115170),List(20027844, 58320338),List(52503258, 42799968),List(15443513, 61021802),List(13718179, 34443279),List(35822955, 55545391),List(8040658, 59539777),List(35413529, 51308868),List(77069032, 31299218),List(26048884, 34831620),List(50653332, 79863349),List(19589760, 72799093),List(62251298, 49265800),List(91966186, 52141362),List(17977616, 38877789),List(89398005, 40683102),List(99554819, 74534623),List(52276341, 15271064),List(69180581, 45683535),List(96680716, 4850745),List(87308060, 18779230),List(32659410, 67835766),List(66807015, 13436717),List(50536045, 63924423),List(91584872, 42534966),List(32573334, 2622766),List(13873916, 27337805),List(38274847, 3946913),List(77283684, 31909922),List(58514941, 3851419),List(64524697, 98519516),List(66204412, 51390815),List(54784464, 67120959),List(30521414, 53069492),List(94318653, 50863872),List(60048350, 88074221),List(13599750, 47058823),List(45257840, 89818304),List(60929269, 12073341),List(16486078, 88838195),List(50173924, 50100244),List(77162743, 46985234),List(98013590, 28291031),List(43434874, 49393091),List(94376105, 62647151),List(42316482, 14578647),List(92976669, 10858711),List(16055417, 30504035),List(96215885, 3182398),List(80862539, 94524050),List(95436646, 82941923),List(64316624, 20192031),List(70175494, 71939655),List(44356066, 69673113),List(18165684, 91367285),List(27050714, 77838417),List(83846337, 88248433),List(62671444, 74152488),List(62167053, 92264674),List(35455797, 48387060),List(31772847, 14754990),List(29910439, 94104144),List(5104362, 84991752),List(69724848, 64432708),List(37300497, 93800252),List(58757233, 25765606),List(60393421, 1375264),List(33307310, 7641907),List(62127618, 70573955),List(38647667, 87627265),List(13592360, 12099868),List(24903890, 55016209),List(49695595, 54108065),List(97091485, 98075578),List(98836598, 52387837),List(19660779, 9128635),List(73652297, 7889261),List(51370186, 87618319),List(81955671, 10614807),List(96875844, 29641375),List(27452182, 47199188),List(6624991, 9717520),List(91002607, 37455992),List(3078594, 81096322),List(39402610, 89359144),List(30481467, 1526159),List(7238571, 7432705),List(19918704, 5629767),List(35115183, 27791804),List(29981453, 87428269),List(67176136, 15567605),List(4371211, 77516220),List(99546017, 30512230),List(27410670, 7136864),List(68353729, 88552989),List(54446227, 82864327),List(15582531, 67660821),List(18796190, 12245850),List(79709219, 7731853),List(59713609, 85048575),List(99835176, 92315539),List(51119333, 27457304),List(3850653, 70052916),List(18808725, 18687617),List(50428732, 27874556),List(70243173, 33507027),List(12581893, 45679576),List(73100576, 54265822),List(68061032, 17930013),List(30921015, 81208542),List(63469647, 55393485),List(31870720, 76209328),List(45940746, 74991710),List(45880612, 23536948),List(15381554, 29907519),List(33235531, 32704374),List(39488379, 75140084),List(46894743, 67729323),List(70391636, 28133957),List(4286114, 70530986),List(62260228, 27116388),List(27133380, 61819227),List(93342202, 69057048),List(72628410, 10904720),List(75728586, 13586402),List(43255471, 98115062),List(94821226, 57723986),List(16539497, 14513601),List(66239364, 93641744),List(4517270, 37280883),List(96203837, 41401780),List(3041904, 61691494),List(9626576, 92335593),List(42233386, 24268600),List(6556415, 10960444),List(64991771, 43653421),List(57506099, 18001001),List(63130799, 41682875),List(52852460, 30955276),List(50589798, 37651749),List(60044902, 74200569),List(33815907, 94046579),List(27242843, 6569512),List(29839575, 52934490),List(35456406, 33157807),List(47552226, 42194123),List(80151756, 38285218),List(36077287, 2854185),List(5931234, 95903346),List(32756307, 78446095),List(50428844, 31508938),List(16037326, 48765248),List(3233409, 6343805),List(21534537, 33135527),List(44291681, 58327903),List(31634187, 97574660),List(76105817, 62566434),List(46681698, 11738635),List(24918349, 7380686),List(35257079, 52191204),List(86726321, 31241773),List(35568413, 28165699),List(8920159, 66739928),List(97854200, 12313769),List(46279603, 82857379),List(68870081, 73231870),List(56247161, 48871443),List(44546274, 26675411),List(56201955, 54046071),List(4872525, 13111048),List(79478084, 45568321),List(80967871, 15107397),List(60359357, 93482536),List(98988079, 93195640),List(27640535, 38822701),List(37738026, 25919078),List(83562133, 90618172),List(67928966, 22804377),List(64388168, 85895348),List(84908782, 22260334),List(89072577, 35499018),List(94124954, 11466523),List(89487185, 26800805),List(78803126, 73844763),List(27715729, 42290310),List(44000278, 50257157),List(3528502, 53517881),List(3307251, 22524975),List(35965626, 80327175),List(31288072, 16203250),List(76485814, 19741927),List(92308799, 46582639),List(65532590, 95878795),List(35668379, 5227889),List(77924265, 28840404),List(55325791, 28262726),List(19920907, 33607013),List(78352963, 81607693),List(71045519, 38227038),List(3245781, 43731009),List(31465902, 43173073),List(30714585, 78570752),List(98770932, 70814506),List(3966259, 72856909),List(92929712, 28811770),List(44162949, 40900542),List(31499825, 65517933),List(65736232, 11372207),List(7919558, 90477439),List(48786522, 67004365),List(54182044, 11547097),List(13001134, 31390687),List(30197257, 10005045),List(8231428, 50745188),List(67243885, 82547508),List(32590722, 92677553),List(49792807, 63795188),List(32161805, 71412129),List(81316191, 67004846),List(91569174, 87495285),List(58006228, 59907520),List(62018522, 19496006),List(94279586, 23912240),List(77873796, 73003445),List(86735807, 33820325),List(21006581, 19906238),List(58316041, 36974402),List(14959223, 82503077),List(30359773, 90668239),List(14252356, 85581016),List(90583447, 8761002),List(83925230, 9067696),List(21033380, 14863858),List(23352528, 82759749),List(6090697, 77800824),List(18014654, 84699918),List(55430615, 40044128),List(92408497, 87231465),List(65354460, 41466030),List(27136821, 19346567),List(36300692, 28769489),List(49430713, 37425872),List(86273049, 52885990),List(12472202, 41889101),List(32201556, 8969656),List(21180404, 20816842),List(72667147, 59255455),List(54261841, 89979037),List(30155124, 99134037),List(6870044, 63118152),List(19956477, 2056411),List(23933715, 12057950),List(44183151, 74719788),List(3356299, 90568957),List(62185589, 7683264),List(1570025, 98025838),List(47885683, 23747362),List(24169301, 88857646),List(89903143, 31601376),List(29775426, 59462311),List(52276406, 11404192),List(21223170, 8438552),List(59840933, 4229479),List(91580808, 52139623),List(95264904, 31901987),List(48351853, 30561234),List(41150610, 73474934),List(6009726, 92753409),List(23068927, 74604455),List(68896416, 37911539),List(98639577, 59678547),List(36079046, 67742818),List(29765285, 10314251),List(42326665, 22221988),List(17355783, 99763644),List(76203969, 97030769),List(55615171, 34219267),List(26654986, 28231937),List(60326224, 89822035),List(67112096, 71349293),List(22919078, 284829),List(70199727, 76989438),List(57771110, 29752549),List(1336821, 66996765),List(59921564, 8912325),List(90665607, 51689851),List(20457905, 68924873),List(6394815, 49836887),List(53798608, 14432476),List(25476640, 63574503),List(40313751, 7498989),List(22772799, 80325342),List(58575246, 51334993),List(85422423, 4264885),List(41712366, 84329137),List(60391209, 78973669),List(57552884, 68196902),List(97257643, 33794195),List(26265084, 51794436),List(96216860, 57351596),List(83910774, 11635104),List(46300187, 90727989),List(91430283, 18456133),List(17799549, 30880359),List(77651367, 26525731),List(47559607, 4403088),List(55583133, 31297897),List(75495889, 39093765),List(8829271, 15945667),List(96549817, 96649753),List(16335454, 39806673),List(40893883, 85263320),List(41159552, 9806040),List(97178047, 2503995),List(98359284, 24888575),List(99407872, 39060445),List(32616145, 36761279),List(84916668, 4617142),List(93768042, 91560160),List(66956378, 7222877),List(48522826, 20989138),List(79950765, 3373164),List(77242160, 84495602),List(98608284, 83314246),List(63247075, 60525448),List(46019495, 45917957),List(55671845, 97709062),List(56535699, 47902149),List(9287983, 67103888),List(13528684, 82474491),List(11566067, 52359829),List(72192586, 6719584),List(54986453, 40722380),List(13832788, 24542513),List(99919360, 19390836),List(90111297, 96942999),List(87396492, 15924752),List(10468111, 51741496),List(95411494, 60312633),List(43724674, 7681373),List(98067104, 47359594),List(51742256, 68919110),List(23920232, 11822062),List(24581961, 75350938),List(14300999, 66555653),List(19795649, 6639248),List(8130424, 58895814),List(54488544, 79410005),List(83683406, 62383292),List(80021997, 50634823),List(31044523, 30297334),List(78666675, 26928019),List(72167382, 37100287),List(69097428, 29649719),List(10470999, 65297746),List(91088513, 15627949),List(83223879, 62792705),List(18059579, 20626025),List(16516972, 21151272),List(37606436, 67764224),List(13677818, 35206234),List(91961439, 58600590),List(59773673, 50245776),List(90334839, 21986215),List(43143643, 87061534),List(86554179, 62710004),List(15670201, 91168240),List(27920835, 62314820),List(57549116, 78554775),List(20270213, 41055251),List(46805580, 67545742),List(64201075, 64883738),List(87824177, 40328016),List(89129328, 82307737),List(35526190, 81296756),List(54710056, 44442176),List(70852301, 8902855),List(70108661, 53470292),List(35446348, 35366719),List(15348729, 42760927),List(44334928, 45875718),List(64318846, 64802454),List(130008, 40437660),List(46425147, 81899235),List(41840305, 77966964),List(3111369, 3391280),List(67833612, 22376543),List(82314272, 17409637),List(92100817, 49229532),List(23344347, 32896858),List(11913590, 30082658),List(64471137, 80248467),List(91868192, 14785952),List(79249350, 90329374),List(51810642, 33190061),List(58441939, 48081748),List(75462148, 34768185),List(68561148, 68263175),List(14033349, 82666747),List(43184087, 85856891),List(767713, 4067485),List(12156304, 20931338),List(1538847, 5375622),List(62523951, 35221816),List(9533984, 51787344),List(19832164, 59568313),List(16601995, 13958343),List(97316273, 77272860),List(76515049, 30041353),List(28969744, 93908601),List(96228519, 11559437),List(55395888, 52223305),List(50980690, 71554226),List(30521192, 86746652),List(56385926, 34710944),List(99639403, 19002116),List(90167967, 9394541),List(6131538, 8895407),List(50985462, 49668712),List(90597839, 58504009),List(90600683, 55646022),List(59951557, 51994039),List(93732296, 77723659),List(7626768, 1901900),List(25427223, 64390513),List(27178119, 50865771),List(88489130, 46374938),List(80048853, 49907464),List(83219156, 55608751),List(76277596, 36366071),List(70628673, 77441278),List(51455070, 64077957),List(17327107, 8012419),List(78146102, 20055110),List(36338181, 77777387),List(8529584, 71131102),List(8091243, 96228920),List(68452364, 27591749),List(32245143, 26439455),List(12291495, 46309054),List(73617228, 60934810),List(1338833, 86149786),List(64992364, 49466837),List(28856588, 36448822),List(77406824, 67849615),List(52488940, 63171275),List(96768521, 16105525),List(78073849, 99727847),List(38479164, 45396338),List(24952691, 61243067),List(53120719, 66056085),List(25100041, 17875108),List(15062614, 92572582),List(26007798, 40971795),List(28932577, 42920502),List(30825908, 81774002),List(97215931, 71226374),List(75883367, 39527618),List(79872492, 88523835),List(49055655, 65974123),List(81976384, 68432939),List(69266440, 65772244),List(10968307, 71292519),List(7185678, 17317246),List(15436612, 30344334),List(85146655, 75544891),List(60738940, 27007999),List(7189487, 55741164),List(83838804, 46404846),List(90894819, 89243582),List(79690085, 89378330),List(28368469, 42164503),List(26337002, 86964043),List(90636963, 51445895),List(27844239, 85731316),List(22564354, 68877830),List(27479668, 83242899),List(5599716, 43658259),List(31232511, 98328621),List(17342230, 84464856),List(66855033, 18355146),List(17006683, 344158),List(38068412, 79389044),List(83594991, 85876240),List(56865152, 74154284),List(21336966, 45792483),List(11583667, 34271523),List(18387228, 84063838),List(62653575, 89386088),List(76433458, 85041992),List(48288794, 80567863),List(38668049, 76495857),List(5207317, 45609280),List(46482570, 16445309),List(44804050, 38390305),List(22974840, 45301023),List(20322135, 43678874),List(17152811, 95350407),List(38280391, 67946300),List(48297481, 53354081),List(39097962, 77638407),List(28269836, 62848779),List(41933464, 56545958),List(83532344, 70745480),List(3327920, 56668823),List(93500876, 33445067),List(98261293, 6052949),List(48231147, 29068614),List(38108782, 29047622),List(81962889, 93729260),List(89473440, 12487490),List(29306121, 15775703),List(89323059, 77125225),List(12641809, 42568252),List(11070992, 20761053),List(88412318, 99442495),List(79324298, 30418336),List(55595766, 39979691),List(76724992, 12206355),List(68436720, 713731),List(66430585, 51987137),List(37972532, 1812232),List(54578060, 70601175),List(23584949, 58459711),List(12599825, 30620793),List(208860, 87923484),List(14839157, 61892998),List(97227975, 37351300),List(45222607, 61559567),List(82498707, 27260361),List(25045071, 41482907),List(88009498, 98382020),List(25937665, 34469656),List(196494, 82527802),List(60849349, 6432016),List(78571443, 32005686),List(84582158, 84412244),List(56659624, 95069912),List(88078027, 95287100),List(7502323, 37847507),List(96294905, 80109278),List(84421407, 70832646),List(13330067, 60113601),List(18146948, 59753725),List(50485864, 40996931),List(343009, 6336098),List(23067975, 21907678),List(9267413, 23227204),List(76392773, 42995673),List(47424609, 57477632),List(33010944, 8130030),List(83686883, 90247152),List(15449654, 64054917),List(82035402, 77140090),List(92407474, 75216565),List(2777696, 13787258),List(72236759, 7458118),List(17411756, 18936244),List(1613263, 37275782),List(54824006, 67957971),List(86134578, 92855489),List(37411675, 71639809),List(17213857, 86380271),List(76209727, 73846545),List(91629705, 19057632),List(97554604, 24869677),List(612283, 70184506),List(33369407, 43631078),List(58171902, 17767850),List(93564831, 24062233),List(16337834, 64744824),List(30713185, 19047383),List(95068555, 33018180),List(1195962, 63089166),List(91266064, 9350816),List(2369468, 47430786),List(793689, 89557376),List(15540179, 8697420),List(21401762, 6224720),List(26416135, 93030339),List(17860177, 61716459),List(76120443, 84192762),List(32194894, 67503482),List(50888032, 61216458),List(99873555, 79066367),List(17607390, 99134730),List(5718059, 34504738),List(77033446, 3704998),List(850354, 40633692),List(79267048, 661074),List(24207568, 8549460),List(50896847, 77293611),List(64081865, 73249618),List(31325882, 30595951),List(78925917, 37559192),List(99268995, 84691045),List(80778721, 22591600),List(14615253, 44793892),List(5910745, 1507822),List(90043968, 76946033),List(8673848, 68005677),List(9202378, 52022461),List(54233825, 47940998),List(44858778, 70823604),List(988244, 24737784),List(4807718, 52322865),List(24817878, 90542010),List(47138628, 5044613),List(94922056, 14175811),List(58714004, 74935001),List(5941731, 72182658),List(48470283, 73310184),List(4790618, 11552181),List(98279298, 63491204),List(67585058, 13116473),List(71888808, 98458251),List(41868250, 9404762),List(82306637, 86377239),List(1096314, 59735901),List(88231841, 44370245),List(59391823, 37449419),List(26707821, 44116014),List(85162440, 5702193),List(34120514, 21038308),List(41278138, 54431351),List(18571280, 92246461),List(48135887, 26716704),List(97957190, 28100979),List(86539650, 47309701),List(21288366, 71426194),List(15444715, 24773721),List(97665241, 33776363),List(90507665, 16194527),List(25837452, 49565254),List(45740538, 49748987),List(68580030, 35122458),List(83129360, 22894041),List(22952065, 86246879),List(36470103, 27064997),List(98731386, 5839585),List(19229834, 96182596),List(65418841, 41982973),List(60294405, 47547268),List(52443432, 16483948),List(36797289, 26333090),List(30616378, 33778009),List(62279682, 43157754),List(54208614, 94263786),List(69034585, 39134847),List(57349371, 54789140),List(55484107, 57571370),List(6161538, 93696293),List(92830988, 5705251),List(51523681, 6291408),List(14362210, 31410703),List(81403447, 88892367),List(45365759, 93904897),List(79695042, 26279826),List(66564356, 53784913),List(5606611, 73902456),List(76161483, 75238829),List(76335370, 15588972),List(83492615, 75723932),List(71264755, 21316970),List(40880463, 94746483),List(21830206, 83627197),List(71937309, 66282003),List(10258644, 2647301),List(74803188, 44521301),List(53316543, 30658978),List(37830184, 18804890),List(93207059, 71243321),List(58247336, 54440958),List(69966286, 69067908),List(40341477, 7997693),List(58610133, 34335629),List(77753565, 34958642),List(61754560, 81006235),List(19628190, 91084545),List(85236190, 44643448),List(68190381, 16600689),List(46719126, 91453198),List(27980909, 83030279),List(77990444, 45329116),List(67753397, 148683),List(52183175, 18211683),List(67799401, 44906357),List(97120001, 7818827),List(66545970, 24950152),List(1119183, 38288502),List(24282195, 97110315),List(26575886, 80832833),List(2869463, 42692429),List(40153012, 34048899),List(33204173, 49840709),List(53655589, 25096743),List(26253938, 79429388),List(94725685, 61603046),List(92210366, 58836114),List(44925888, 48760093),List(18177568, 14079535),List(38977394, 17007146),List(69017419, 31178466),List(21983385, 18810720),List(57369246, 63484774),List(82529682, 16058515),List(86132186, 9503780),List(97455554, 20485244),List(24304470, 78641470),List(72960957, 7208290),List(65031990, 4666673),List(98683174, 7112715),List(11606219, 44748975),List(70380439, 99802627),List(89413630, 62016854),List(20755577, 8112652),List(80658089, 41994891),List(72855425, 60530441),List(63779324, 9087505),List(81432086, 26652394),List(62388777, 15416078),List(82259882, 79598068),List(2742617, 70282315),List(51967761, 78659227),List(90208881, 69913496),List(40249500, 25748340),List(44238038, 41189025),List(8321588, 12711323),List(98493436, 48654050),List(95606732, 75185625),List(22753716, 57540808),List(87050839, 2862983),List(11789497, 17838645),List(88515489, 51015495),List(67190204, 80940536),List(34245708, 79112751),List(21874408, 45144692),List(49992224, 92062811),List(68117225, 16421751),List(13781190, 22974034),List(50751625, 45576567),List(46699426, 50076663),List(71205262, 5274710),List(43465332, 69894884),List(91081875, 72762944),List(5918853, 1946385),List(24281715, 43610190),List(85954206, 4825661),List(80486471, 47223435),List(30816905, 6341345),List(28003493, 91050390),List(40924036, 77617317),List(51441739, 88540498),List(51567595, 55031409),List(61150024, 97875660),List(38815985, 92686948),List(27505847, 75495789),List(72921768, 76898772),List(99785252, 59060182),List(21161596, 78181330),List(3001979, 98964396),List(33847451, 39553131),List(55906159, 49495930),List(22521042, 49425521),List(6034480, 12559745),List(14481453, 6715460),List(87744689, 15909275),List(51614217, 69305425),List(38022571, 53788293),List(30535337, 9868159),List(37244894, 9800465),List(81101251, 67602437),List(71066183, 8728574),List(58386817, 82768155),List(10285601, 51221669),List(37298333, 91454086),List(21074989, 41694740),List(51330159, 71691279),List(85982220, 64810151),List(3558153, 2022176),List(78189393, 5496333),List(14794890, 12287121),List(94989096, 49904246),List(18436155, 36298666),List(65924404, 64579559),List(57234864, 75802281),List(7055685, 52990308),List(70488779, 58431151),List(28672141, 80389456),List(20309074, 94490088),List(75870455, 13152178),List(24801688, 10028669),List(82763004, 48330148),List(36688795, 53960156),List(10156874, 43141604),List(88131346, 14991335),List(40678755, 88331297),List(68730519, 78060076),List(62145084, 22651631),List(9219481, 98768795),List(73403670, 63535051),List(2330916, 2427830),List(86900174, 88828625),List(9773255, 4494331),List(89142396, 69570069),List(62477813, 96109057),List(94184831, 61076868),List(51124299, 1416754),List(24617430, 982556),List(89530123, 43933059),List(81296717, 21661066),List(11857395, 96604899),List(91813670, 10934318),List(24278640, 23956080),List(70942827, 25697285),List(15415742, 10656734),List(45278955, 66951746),List(75372008, 94656760),List(3729542, 34609290),List(53059617, 2585858),List(48206827, 79899283),List(86494679, 89888918),List(62449984, 45710949),List(90168549, 22597578),List(67997792, 80219163),List(43964369, 71510951),List(90858570, 4370786),List(8058199, 5911243),List(77915606, 12815177),List(12473978, 4873465),List(67758077, 64454222),List(31317830, 73463847),List(45467791, 57168103),List(33727131, 57085300),List(6844601, 99627500),List(67069965, 76341855),List(40300482, 99669065),List(35729099, 18927614),List(74937397, 88177700),List(74515455, 41167868),List(34594439, 70970330),List(61026171, 29313908),List(27880149, 78141705),List(64743099, 64700757),List(40483947, 22951441),List(97199, 41417874),List(76771438, 17330599),List(38344142, 76132424),List(78971995, 10782003),List(88422129, 40630391),List(72375545, 54558062),List(57534828, 89613030),List(17930510, 67145310),List(85758501, 85344173),List(12643642, 40549851),List(77794533, 40553074),List(43376953, 50589688),List(94661422, 37048999),List(75215573, 61077962),List(59452358, 47723123),List(22197775, 22310695),List(97574739, 81691799),List(65849366, 61570518),List(73518132, 84318250),List(87541386, 70861979),List(26010106, 16195933),List(63106998, 27233232),List(92932111, 30852027),List(67461625, 84191732),List(19678420, 71888897),List(84687436, 51911375),List(95711783, 43659790),List(6253933, 846872),List(89237680, 23894417),List(3830703, 40933656),List(30302355, 86111906),List(8237268, 38217177),List(16026739, 22632254),List(15846267, 95999334),List(94764047, 54194431),List(31728228, 66050992),List(89852957, 49335332),List(63710540, 36462661),List(51923615, 47938706),List(9905347, 1510772),List(31592946, 78150601),List(42939740, 1121385),List(99758467, 46784337),List(15179919, 58979623),List(35551384, 26726547),List(86195452, 45720055),List(97856883, 68370680),List(21402452, 82516211),List(13844842, 49059363),List(4097281, 74800273),List(38151921, 6165646),List(2863723, 28285164),List(87195400, 2946809),List(42715978, 54674428),List(48055647, 58918662),List(21454758, 84382821),List(23408679, 69720351),List(92462043, 59240047),List(44791506, 55401533),List(7206145, 7356773),List(85245144, 43251768),List(39135106, 64163041),List(67143508, 4759912),List(26324514, 50043291),List(27406815, 18560553),List(31160590, 9479538),List(12657426, 49952904),List(13527881, 23798851),List(69173852, 29414629),List(907407, 86436402),List(50994079, 91221387),List(79157909, 63285060),List(20314320, 56597522),List(57118186, 36590397),List(70588645, 9984059),List(81235754, 11010015),List(41906328, 66121819),List(81701208, 24837417),List(18099129, 41967043),List(93218312, 58331561),List(25836423, 20572354),List(71251298, 80871733),List(67694584, 59324196),List(86794354, 51739702),List(26685011, 41129689),List(1999628, 74812724),List(19723621, 87630752),List(34652078, 30205275),List(61840435, 83583413),List(89682856, 2442079),List(19090006, 84003112),List(57545388, 45527498),List(76970291, 73626218),List(8478814, 42117631),List(56822288, 86633574),List(33192038, 39231641),List(35017250, 82174389),List(93641043, 63236136),List(28265378, 27930428),List(90455282, 61044231),List(77261127, 50396907),List(57288800, 5748805),List(25106987, 48909218),List(92605749, 31067286),List(98980429, 97488919),List(98295643, 89276667),List(24526615, 48409760),List(85645090, 54278699),List(72420904, 41071142),List(17324985, 9041255),List(55760577, 95022026),List(20394041, 87601988),List(44926759, 72966390),List(37013505, 7380639),List(54902089, 39680762),List(67505039, 9563678),List(14062455, 95707976),List(65690795, 26630483),List(3708172, 95904833),List(88777288, 30434239),List(18553905, 296672),List(5344375, 42658242),List(63560085, 35180364),List(60890467, 35937876),List(18720841, 82334595),List(74757248, 4194996),List(47820819, 25603337),List(90490385, 67160630),List(9651351, 48270562),List(86179707, 89230411),List(43093407, 66770082),List(27599137, 97691861),List(52720946, 95403875),List(72068344, 46106983),List(72621499, 44287780),List(23256417, 50069749),List(68555349, 68439036),List(19658723, 92144434),List(90545623, 47203912),List(14917388, 97326943),List(23680871, 78404474),List(16211441, 87834890),List(49158133, 35654123),List(21120566, 91441098),List(70814317, 93001159),List(30566721, 27731482),List(36119546, 16399918),List(84088953, 30748688),List(40980482, 68363882),List(73394149, 83869136),List(27589554, 79105670),List(40344310, 24997524),List(34648490, 29406540),List(37460373, 24350661),List(42525215, 62502194),List(56931740, 13967242),List(834089, 46342979),List(53055206, 11082939),List(38161170, 90703532),List(4092058, 37663190),List(99809729, 69770941),List(60739345, 56490070),List(15645413, 68831404),List(39725196, 94663408),List(14254463, 22675678),List(42422453, 22228845),List(23813691, 50831799),List(49812551, 52090810),List(4224023, 64302833),List(19878490, 8724061),List(15274388, 33059724),List(21772981, 29559587),List(19315390, 57268381),List(23216936, 31354336),List(25261473, 89926284),List(46778186, 73293636),List(79497311, 29233905),List(66471480, 76368077),List(83908046, 68065931),List(28738611, 85848220),List(30524724, 69476953),List(6532148, 64102715),List(1012348, 71250503),List(46690470, 11685410),List(75567175, 38293929),List(85540279, 97448213),List(9033063, 96288088),List(2687575, 2713783),List(22496375, 6446346),List(7981238, 18795614),List(13225065, 68543760),List(47808601, 76882903),List(60824103, 8266484),List(6732091, 53069920),List(12219860, 27366522),List(87377065, 55591521),List(34838875, 59301047),List(37252359, 89509839),List(27415820, 75195285),List(66254950, 20616007),List(78269616, 54627841),List(36882178, 18110562),List(5414973, 90142543),List(39614788, 45937499),List(74746165, 22329374),List(20155984, 20603738),List(80690131, 42970564),List(7440118, 60993138),List(90370387, 51481289),List(79175843, 8958780),List(43001483, 55498529),List(10260723, 54521158),List(20559632, 32385955),List(10867666, 41031255),List(85606354, 99336767),List(95448456, 90283816),List(84457873, 10419562),List(97309045, 19694181),List(68070570, 36075860),List(89090092, 41941597),List(78390521, 32275948),List(73007762, 69429680),List(65442170, 76791955),List(37443548, 44971143),List(46856219, 69298129),List(57973613, 73170161),List(60327261, 63668176),List(50938149, 28892862),List(51775347, 95218783),List(28167896, 83490440),List(49660352, 43689362),List(66027351, 51261666),List(69498707, 75922879),List(45807447, 79736477),List(86450644, 96922168),List(51682281, 10436217),List(77388347, 7634577),List(29998281, 49836248),List(25681875, 15726738),List(77693860, 6090787),List(38300792, 74770862),List(14306314, 60752689),List(78804476, 4179030),List(13561824, 44934403),List(96950360, 16250567),List(51924508, 2643716),List(20593114, 53157354),List(4484867, 22029525),List(83942119, 69006449),List(86434189, 51686750),List(53494811, 39233484),List(44326665, 16852910),List(1684537, 31687398),List(19731147, 62819109),List(5898934, 11858876),List(97434326, 66077111),List(49114925, 29212879),List(60754811, 8587938),List(20267461, 37101168),List(49184311, 18864487),List(14408544, 21776258),List(55773749, 67932663),List(40738095, 72849387),List(57848657, 7846180),List(37224112, 85501802),List(16431511, 50642841),List(3425875, 13775206),List(49562331, 10552233),List(78738724, 41646443),List(36173065, 70417549),List(53667931, 86073950),List(86450073, 17221136),List(45014869, 89813676),List(724536, 94381533),List(38454220, 2095543),List(21875911, 56738253),List(5812699, 60488346),List(61518833, 69958171),List(3087981, 74207186),List(69357920, 29892015),List(20123776, 94336526),List(35701068, 7350492),List(11609344, 69829860),List(21941427, 6859767),List(29911405, 6944843),List(49914451, 85710695),List(69707557, 17974861),List(79875421, 82321189),List(44630112, 65668482),List(85658332, 25786907),List(90987157, 13880173),List(63017646, 26815258),List(58906468, 55416930),List(55935486, 53260400),List(92514615, 70499417),List(94731353, 18241933),List(31503446, 84901393),List(59881470, 66579148),List(45427318, 91467525),List(7569955, 88566551),List(27650307, 70860938),List(53681738, 5982808),List(17752195, 78919318),List(41884960, 86017753),List(22678039, 10827916),List(54514323, 2125262),List(78413206, 48436051),List(2188043, 74671948),List(80347159, 30229865),List(33624947, 7884820),List(67018798, 25290832),List(70522832, 37883200),List(26979491, 23129268),List(97323474, 64266030),List(63438120, 52525057),List(21904624, 6987300),List(55471983, 1148062),List(88863226, 90841198),List(34946018, 26290194),List(56990679, 58483358),List(12048443, 39608781),List(374950, 86640562),List(8169341, 99007888),List(87406128, 61004581),List(30647206, 84367754),List(2144833, 507902),List(68001927, 18467522),List(98583327, 45712454),List(75026107, 86003923),List(44418135, 26493046),List(83703650, 59094540),List(16728284, 74997290),List(65927732, 71157301),List(13943497, 9006877),List(6639949, 27836081),List(68156154, 6264525),List(53151604, 76971239),List(71636479, 70046131),List(21028257, 9524515),List(94174650, 26625896),List(26173554, 19948440),List(68904248, 98430664),List(26018316, 84374887),List(93431336, 55224361),List(97596418, 74426823),List(48356364, 46486021),List(68207734, 23529902),List(92235893, 66493937),List(23672811, 62597024),List(68634216, 77567382),List(1468028, 79194781),List(2992373, 40138199),List(59663354, 54615116),List(96668716, 91657349),List(10454179, 88684279),List(81131476, 87803620),List(74107222, 89892819),List(401345, 83425123),List(26878499, 11966128),List(85217229, 29977906),List(33611574, 85673583),List(68327299, 23548479),List(36862631, 49399148),List(54398925, 87938539),List(54654382, 89042779),List(46196496, 43464477),List(46430849, 81935008),List(25927923, 12601061),List(4440721, 61542327),List(88998690, 64730725),List(33275966, 21789709),List(3935986, 83087895),List(46600935, 33416609),List(83812630, 21256825),List(53587536, 48131467),List(18108332, 58545615),List(14227633, 24340445),List(87391402, 41021596),List(92548080, 45511912),List(2229006, 90733819),List(92389480, 56691181),List(67529881, 76701609),List(32261826, 78083433),List(26078760, 21476315),List(58407475, 78565835),List(78153505, 50178402),List(4560037, 69826236),List(25705847, 64342201),List(41090694, 56440321),List(74664828, 68583574),List(71387381, 14163001),List(68354254, 31138627),List(72948308, 66840775),List(11358991, 69781101),List(55363046, 87392303),List(75967229, 58742129),List(92226693, 54386982),List(57196722, 81680584),List(90795503, 56037506),List(9510752, 96465948),List(23338358, 93407860),List(87349487, 46070731),List(31355818, 96040352),List(913269, 73471582),List(23043098, 49020691),List(97182082, 62769124),List(36947772, 34372758),List(710652, 28786832),List(32866949, 59858260),List(19128641, 75916286),List(39071103, 42979087),List(2288961, 58727512),List(75279395, 92928865),List(5490592, 80982696),List(75187476, 73943805),List(56173008, 52963280),List(28667120, 22148477),List(22979149, 64562529),List(79788473, 2063073),List(36398508, 22722358),List(65836898, 34044435),List(57098078, 39976015),List(12012051, 31466560),List(85503857, 62640681),List(1881888, 92651106),List(50627404, 26120518),List(48843251, 68133658),List(26277171, 63776273),List(16280856, 41992408),List(79016153, 76852393),List(27103191, 44423861),List(18064817, 94973966),List(10285184, 73231060),List(63878805, 45228875),List(70260895, 50824016),List(78017762, 35205733),List(52682782, 55125404),List(7710934, 79778067),List(57293835, 1592313),List(48422410, 45934180),List(77941041, 99605590),List(97781396, 76931739),List(72320152, 72150238),List(22194128, 3710884),List(33079121, 47863172),List(48872387, 33940871),List(17918241, 92967906),List(97202580, 66172309),List(32492227, 77265277),List(32333717, 41538404),List(39401669, 8819897),List(45786745, 69686246),List(66386293, 60213934),List(9260514, 80246645),List(16269968, 25787290),List(41315797, 39656126),List(53182305, 66825316),List(39908970, 52605469),List(58868155, 48539396),List(1264544, 15899873),List(44600746, 14934938),List(61111434, 10629866),List(81957439, 92513215),List(34952495, 29060451),List(75757910, 32112830),List(61927917, 22889320),List(63187631, 72438945),List(81069930, 50966078),List(65291205, 44549338),List(36098018, 28550567),List(12848298, 8187609),List(73469753, 7054210),List(62250327, 73652723),List(65948888, 48276082),List(59990562, 34606308),List(95283741, 8620197),List(49954052, 5916633),List(48753870, 37520128),List(39609708, 7039694),List(49910986, 91165290),List(24500094, 27261144),List(85076949, 47079816),List(52675327, 63597245),List(63168405, 87490335),List(20435092, 76725480),List(63815355, 44903913),List(83767060, 84409267),List(64939584, 11295576),List(44911984, 87418818),List(65008014, 69391416),List(78149009, 89969612),List(47524061, 72446977),List(57542332, 51306206),List(26722434, 70760498),List(98259014, 627623),List(81648631, 26456597),List(41523729, 43487599),List(58321338, 6853609),List(31758727, 33010514),List(98155003, 53380930),List(21938493, 86898691),List(98280589, 37019694),List(36631954, 74832759),List(79841801, 99903508),List(87366998, 59227013),List(28406725, 55759953),List(14628863, 62383313),List(19797287, 66579088),List(63798446, 81843806),List(66093637, 77150867),List(87153143, 54427479),List(5386580, 36563276),List(91813427, 91370877),List(80582923, 64281124),List(70868407, 98253701),List(61776598, 4858503),List(36679447, 54249521),List(59149053, 34127292),List(89354407, 78978348),List(56562134, 25633916),List(45537919, 94521267),List(94906475, 76325518),List(33554777, 88589687),List(37703497, 86149122),List(41616614, 98960980),List(21334201, 79797628),List(44367698, 27595070),List(59708470, 74120867),List(29154796, 6600256),List(42402902, 84295170),List(70354364, 88659184),List(87224203, 55199638),List(23538933, 93438195),List(96317598, 84629941),List(43055727, 39199824),List(9014856, 65153644),List(80608084, 90853588),List(13832069, 61357935),List(56198705, 51542895),List(37898170, 88527875),List(11715027, 80433543),List(37033031, 15272328),List(90708406, 98921231),List(11378117, 69418178),List(14015429, 92024114),List(96002332, 19901790),List(26483112, 29814286),List(25383473, 2911216),List(47889628, 54833588),List(5721129, 29864235),List(76188335, 48066679),List(86490661, 83411176),List(35027404, 28690624),List(88208641, 3119573),List(49523389, 23541619),List(39062888, 10352626),List(41973819, 56898957),List(37256875, 76963677),List(1595215, 99523640),List(57092176, 3233776),List(75784222, 82811678),List(86856997, 23822925),List(36612364, 34896544),List(89576188, 55794589),List(32259613, 36437420),List(61342247, 21131055),List(79074549, 27055543),List(65446157, 13760756),List(70222659, 52473739),List(13989684, 8679682),List(28044181, 93141242),List(42098380, 62852698),List(55631849, 83933949),List(5874321, 18714286),List(1284141, 67371176),List(6295538, 65700095),List(7262404, 23041978),List(23440329, 91294488),List(91597224, 56340030),List(6777067, 64982243),List(38553308, 97640742),List(63017918, 27640060),List(18604500, 36973622),List(90323684, 62715144),List(70150420, 1800418),List(41222101, 2477020),List(20468601, 60923749),List(49026844, 39790682),List(42617217, 30201657),List(99967992, 98624249),List(7596469, 95547359),List(44696068, 62899641),List(23179712, 84976525),List(35767417, 97991143),List(4790769, 8585680),List(52509974, 23932932),List(92797340, 77544920),List(76403213, 42061714),List(22533760, 41667320),List(274677, 55898246),List(82107900, 43695506),List(92746259, 41386580),List(67777846, 68072119),List(3150127, 33366946),List(90644942, 22216616),List(69150806, 18496141),List(41954825, 31321147),List(84731752, 46846091),List(45735301, 68554210),List(20641914, 51471787),List(11068066, 48725523),List(64512983, 8316377),List(79780863, 71227179),List(58502380, 14178791),List(81041570, 87297627),List(46018749, 54712429),List(76015671, 7508331),List(46123268, 96989129),List(79500249, 56542861),List(17840372, 65263770),List(48427872, 26112773),List(74210718, 70123200),List(90546515, 72860305),List(86554106, 69963274),List(59832035, 67528374),List(14141433, 85608426),List(21004303, 38136864),List(20401390, 10440619),List(61737957, 74815590),List(64073495, 79280896),List(95304548, 85728972),List(88183912, 52707021),List(20068019, 72746695),List(64690440, 60280111),List(35296292, 67227087),List(56416458, 67135942),List(10667458, 49604960),List(24729031, 47965801),List(76442730, 83629332),List(69656605, 58999491),List(12397380, 71042897),List(84039326, 71818461),List(60672225, 58988286),List(68438723, 41133474),List(12789110, 22082797),List(33591415, 29314527),List(49019384, 73710214),List(22374020, 48654306),List(99736998, 89804561),List(17767210, 5718272),List(16409442, 79104181),List(56042445, 1921158),List(51591684, 84775713),List(60747941, 92754173),List(16684335, 7449955),List(61605064, 62603129),List(65639303, 99203799),List(32567695, 9459022),List(24060841, 48199210),List(94620602, 80603040),List(87006730, 70600326),List(34265171, 76727570),List(29274492, 12389266),List(36034776, 77402962),List(36374605, 15234724),List(58559246, 10741696),List(6704825, 39740902),List(4870976, 98039244),List(84907171, 4997763),List(48142125, 97349168),List(42839994, 94884981),List(15960578, 79696798),List(29509812, 8869887),List(19236567, 81730420),List(42819287, 99714179),List(42561665, 98094919),List(53230299, 46454307),List(61311078, 70554786),List(30758449, 10579963),List(29230502, 75857316),List(88641374, 28136625),List(41530556, 68161416),List(46617172, 53771157),List(90021945, 41041168),List(76147732, 40862508),List(73447559, 55836710),List(66862220, 52240798),List(35203895, 6674250),List(22884638, 15570937),List(24204585, 87269174),List(77026595, 88228365),List(60812177, 65787668),List(84418821, 12499809),List(48144358, 45397989),List(66451983, 75053972),List(50304814, 94548654),List(71283988, 78323858),List(60652330, 46143078),List(96648008, 81529249),List(90186819, 49971128),List(67804323, 10613160),List(5218777, 5206773),List(19564190, 99162881),List(7645612, 46175176),List(55457833, 82322458),List(41893454, 71423513),List(31882679, 92416775),List(45787457, 24877855),List(64161083, 64963879),List(6630229, 54753037),List(88388151, 48694679),List(13108062, 59688390),List(7247395, 81132392),List(57452313, 60920450),List(68904919, 36011558),List(19058715, 60384207),List(72321653, 80724395),List(37226766, 97275571),List(48539583, 30264902),List(28275524, 46809224),List(81692699, 78639173),List(18857036, 18292735),List(67251828, 86977063),List(39472072, 54175604),List(59960851, 79603968),List(36705153, 7573944),List(49922841, 11658494),List(66629498, 94446262),List(33855333, 13538590),List(44122856, 14155604),List(63395394, 47917125),List(34829610, 38226905),List(66474099, 13898831),List(27790781, 4170876),List(42730364, 5336671),List(58406944, 20150266),List(16187444, 5055785),List(91851523, 88689168),List(47614903, 69171155),List(92729114, 28958785),List(13526473, 98134587),List(27297693, 2170613),List(13107548, 82582775),List(42449732, 36985643),List(79380387, 83835332),List(14657007, 71553478),List(40896091, 96389362),List(62217383, 93471354),List(63621815, 68421736),List(78925813, 21297679),List(88741032, 42198385),List(46128684, 64475854),List(47726235, 40001817),List(18489698, 48377730),List(68510639, 21202381),List(4713388, 70368285),List(56152374, 53101998),List(17684914, 14722548),List(76208191, 658046),List(30384449, 6789704),List(18541482, 35616910),List(14311072, 34080864),List(15137525, 29303479),List(59666225, 84237555),List(94752881, 81927641),List(88680896, 74966006),List(69365526, 73739268),List(81602871, 32849665),List(35280587, 86510784),List(124552, 28594916),List(78013482, 92883716),List(45562590, 65987120),List(71104392, 23857301),List(6359028, 59202597),List(69948583, 67682209),List(1997154, 97105450),List(72240025, 86772705),List(46735579, 72076475),List(96874292, 81055754),List(21023790, 61231302),List(17816522, 98238080),List(35907620, 38105945),List(67140322, 39015834),List(24651636, 47494868),List(99970771, 57622503),List(26546598, 29247058),List(21577755, 98209479),List(53724957, 98397932),List(78646732, 24406621),List(22086732, 24338168),List(15433192, 58174800),List(66201426, 63322416),List(34111439, 76366078),List(95081353, 79898459),List(18613510, 78080185),List(92907217, 80421413),List(19607462, 19397576),List(87075065, 73364081),List(11097507, 96818092),List(37841616, 6455894),List(5699326, 29340714),List(25665, 69372149),List(98661054, 82673739),List(64698237, 18486525),List(24961090, 81025488),List(41075542, 86217498),List(434302, 24959788),List(58546814, 93195607),List(67981822, 97368088),List(11943488, 77793221),List(52263400, 87422298),List(6557415, 31916348),List(9563160, 32018825),List(50265604, 8880827),List(42098517, 59735238),List(65610090, 85545616),List(65121789, 24087797),List(12902440, 9094468),List(83108516, 11541252),List(31696257, 63800437),List(21416851, 98451867),List(2505031, 21091309),List(48440359, 81566087),List(12900853, 50635627),List(46826212, 93442969),List(64751723, 8797603),List(51733624, 8393075),List(6327976, 41067628),List(96310770, 53814589),List(45467089, 31441213),List(89558049, 92010112),List(75325071, 68089037),List(16905365, 63711427),List(93936652, 30597921),List(32886635, 7770527),List(19574536, 36619266),List(91291320, 89044315),List(16494551, 75845220),List(81947484, 17474624),List(99760707, 89824044),List(72261610, 64882367),List(29201270, 77185022),List(88700689, 4749913),List(46849144, 91754993),List(3825107, 99589531),List(78208871, 13588662),List(20249384, 41891246),List(40679645, 88956381),List(51091982, 22469471),List(73102230, 15850339),List(21617172, 16487221),List(43224863, 14643057),List(39432434, 56180441),List(37651111, 20987956),List(7843417, 38815588),List(9508332, 54080776),List(10073831, 12855443),List(60596682, 72827163),List(52879180, 74818935),List(39888299, 47303120),List(1581092, 63128227),List(73416021, 43268324),List(68816925, 60441952),List(99158129, 41182997),List(23725265, 3606900),List(61114202, 95138765),List(85370044, 17199192),List(12410746, 57995943),List(61599804, 18734948),List(64978663, 57195839),List(61466648, 88270575),List(53081766, 76555082),List(68439056, 52854915),List(41743047, 73016569),List(47306292, 35715081),List(13509134, 75895914),List(32348759, 71098262),List(92867849, 63826094),List(98491851, 2271684),List(81236532, 20590867),List(53147867, 66396255),List(71401677, 40119906),List(43280618, 86083385),List(82790154, 93252353),List(53617665, 98165934),List(84689625, 16692345),List(70591358, 58990385),List(43287623, 96817161),List(98776873, 64848305),List(71760138, 45271529),List(4631019, 29311985),List(62911835, 58431483),List(21529877, 65127751),List(53011938, 69126380),List(35132658, 41057887),List(51096522, 72385190),List(89809304, 26879674),List(47353996, 10243489),List(80562516, 44247294),List(6828985, 20492743),List(87933049, 24873783),List(72252690, 84377013),List(27535297, 43403605),List(47927341, 13020720),List(81751565, 63812319),List(70856007, 90067266),List(84003383, 27037656),List(88046295, 42974952),List(54554530, 5000300),List(39837542, 63203293),List(96365997, 8221054),List(17665716, 39745766),List(35015426, 23732688),List(48685006, 14361463),List(77855692, 80907390),List(33687763, 14496264),List(35731260, 71955880),List(47807502, 95355305),List(49969042, 84908202),List(96909798, 22176991),List(49936509, 66641386),List(76185821, 91724453),List(15647670, 30641487),List(17516290, 88118010),List(29712214, 86424929),List(80114575, 808630),List(79005473, 71010694),List(30385652, 28795119),List(68019351, 45459938),List(66787015, 18162542),List(28591451, 52138421),List(30237085, 58577696),List(31262249, 1776682),List(85006352, 30198597),List(56542832, 32406406),List(33393072, 14899798),List(39300303, 77688044),List(66035764, 46670876),List(46200452, 60585882),List(60139831, 75306252),List(31224681, 17087606),List(23411896, 64116376),List(48887240, 54137191),List(9889469, 11179491),List(79002942, 94704658),List(70400171, 88000674),List(4120159, 65716805),List(18889280, 82944594),List(59771249, 58866284),List(21255487, 56411721),List(97021767, 45329523),List(72931190, 13476410),List(87211094, 12578618),List(53511758, 24894626),List(97841850, 96866023),List(26424470, 45640044),List(17707478, 67318054),List(75263731, 1161214),List(49101588, 41015473),List(30040595, 21420441),List(37732788, 27812687),List(48150071, 13032240),List(99920122, 887996),List(53620848, 81620872),List(42812254, 62518719),List(9580694, 43904298),List(12478455, 26899534),List(32473272, 61257999),List(57918594, 47423910),List(83941552, 26514382),List(57515433, 56992438),List(79866500, 96546866),List(99451387, 8688198),List(18297725, 58815244),List(2515996, 61806013),List(23280712, 67008222),List(25915969, 52360100),List(48624742, 41575700),List(42032320, 97231380),List(76348324, 59751793),List(8185845, 99521383),List(22463774, 68749860),List(45376561, 84440116),List(84392886, 60593752),List(60566739, 65472059),List(4490872, 46456959),List(91000460, 12488563),List(19448158, 47904157),List(99517623, 19294158),List(25126504, 92810352),List(70393309, 89418141),List(92883812, 9335372),List(89105197, 12515482),List(19869040, 15302527),List(52163069, 38247063),List(45107218, 32713177),List(64262073, 28811723),List(98852797, 98962871),List(71007130, 66223833),List(23894529, 45217786),List(10422689, 68401942),List(51484096, 93671163),List(59566654, 93607481),List(11239798, 62357188),List(34938661, 6211412),List(35693489, 51918682),List(18690672, 66050871),List(21354843, 57398941),List(22680337, 25202659),List(60747707, 90102993),List(79037470, 15113904),List(79134975, 13651810),List(15858054, 84443473),List(82251197, 52595210),List(40841605, 74675894),List(22186123, 43766903),List(7375880, 36647296),List(18997866, 25043114),List(83757301, 95829344),List(54804141, 50745162),List(9462949, 60988282),List(42264314, 8624847),List(38834669, 76268736),List(87579634, 16968881),List(80075345, 93165151),List(54859368, 95455292),List(84186331, 42449495),List(9821855, 8906780),List(19938844, 32141217),List(13954662, 52540224),List(36621785, 21131459),List(15898768, 16301369),List(76372497, 74126847),List(97206813, 27996048),List(57191682, 68835591),List(797820, 95554272),List(19877998, 18011983),List(77458323, 10877368),List(98277266, 29049276),List(90852932, 74818259),List(25919465, 21081289),List(44486492, 86487265),List(12790701, 78249742),List(8939571, 54272301),List(77557911, 77546149),List(41621094, 39089173),List(84266366, 17601773),List(25778600, 11312178),List(19774551, 38362636),List(63943224, 82559933),List(11508302, 14882698),List(60711188, 64935721),List(49665354, 29681334),List(82583493, 49801140),List(82502891, 81616101),List(71557515, 83799021),List(58700848, 43119565),List(96739028, 25011093),List(19589132, 66227661),List(85435226, 24692977),List(93838178, 65123392),List(96711826, 23613525),List(15581552, 50843827),List(16653187, 15735481),List(40999774, 79930943),List(32506123, 19295476),List(36702604, 67724335),List(58091507, 23780063),List(87891434, 22340257),List(72667543, 88817191),List(42668086, 56043849),List(95378348, 13937225),List(2094972, 33121999),List(41054899, 58695363),List(14379202, 5236996),List(97395987, 90013859),List(44545495, 15145665),List(18983028, 627592),List(39597571, 87781588),List(43649771, 21894358),List(49865250, 49260113),List(66213623, 7078221),List(89423043, 99091705),List(79580060, 89967962),List(38750510, 93093706),List(94164511, 37432171),List(50919641, 58529636),List(62732019, 78810300),List(94585505, 90440575),List(40139780, 84161613),List(93189075, 55984873),List(53710739, 65380664),List(57613007, 9267894),List(58039852, 34757318),List(11874051, 31640348),List(58501901, 2064830),List(97890235, 77916957),List(77505954, 99447403),List(58832082, 65319425),List(85073314, 11038523),List(60552226, 93119245),List(14027072, 83473824),List(66521469, 2484192),List(24433678, 53420620),List(82338736, 26572368),List(20879300, 86359260),List(44711687, 15783714),List(51916525, 31927218),List(90475469, 73908611),List(96143441, 44316245),List(79039204, 7140428),List(80030216, 89634112),List(64053572, 71153873),List(7395154, 69411655),List(25805797, 8048602),List(13981360, 72471248),List(23028041, 68249156),List(18309037, 72078632),List(22395033, 66884387),List(84028583, 92158755),List(28376563, 56139584),List(87284577, 25118675),List(14365911, 54227713),List(77380838, 5648145),List(75472290, 12646158),List(14242640, 61328045),List(70709557, 4497586),List(84834837, 1465225),List(10963926, 95004819),List(82634514, 85802498),List(22518170, 41536524),List(29818921, 90252604),List(28065362, 68065076),List(34612574, 62846807),List(93644072, 37105206),List(92103679, 28118739),List(60732146, 78591087),List(73525839, 29011924),List(55256923, 90875668),List(3303620, 4719849),List(16756391, 65822649),List(73506179, 85056418),List(88386619, 45209964),List(70301921, 18881117),List(3239348, 56223896),List(28748133, 82519200),List(77651395, 39087260),List(4246369, 8692353),List(81155215, 9519497),List(75748642, 27833584),List(96536517, 40387144),List(70820471, 8362563),List(1062070, 86504792),List(81803547, 55775136),List(41589470, 62089465),List(5938970, 68177278),List(30875484, 94633182),List(75690554, 38604262),List(57261358, 40108306),List(82169270, 99973912),List(21707923, 31466661),List(89352345, 18732147),List(6014053, 80654946),List(81473940, 24538117),List(88832694, 1030873),List(27987851, 51197956),List(42428546, 95227252),List(26138035, 19971608),List(18046825, 64133434),List(47609032, 33799942),List(62593671, 93407317),List(79438720, 93187091),List(48882266, 85497027),List(90660684, 37894381),List(23292517, 24128284),List(4463210, 51400099),List(33116000, 26360631),List(33205167, 20721439),List(19219307, 42677974),List(86041621, 19294390),List(84225535, 20824864),List(19479915, 93593230),List(99729339, 91133297),List(51043101, 62648843),List(23825880, 5857074),List(48556068, 26860415),List(19937619, 24689462),List(31194560, 47884476),List(86844015, 66027952),List(25779658, 19233671),List(64234497, 2793796),List(99941021, 44886832),List(24812397, 65169214),List(18982550, 84191838),List(43095346, 37790636),List(63640856, 87033824),List(6385322, 33944184),List(12716933, 22953496),List(43264324, 1891619),List(96886273, 39581893),List(46203895, 74406894),List(56703042, 63637749),List(39804200, 43514487),List(99394108, 74458428),List(72478839, 39068036),List(45319019, 70946318),List(18660842, 84139870),List(76022691, 98107039),List(98396191, 6033844),List(46607361, 60476810),List(82404135, 16420299),List(10487335, 93519419),List(63770571, 77825163),List(93287910, 58812132),List(27107261, 61816238),List(77521763, 14023811),List(53132869, 85769166),List(5077389, 89708112),List(21580967, 91115334),List(22852096, 18080604),List(36455853, 52797801),List(81055650, 17046589),List(72246002, 67992848),List(84574601, 25157573),List(88362205, 38460905),List(59832554, 74207570),List(7662505, 84540421),List(71551816, 64088190),List(40445269, 66702116),List(54136609, 21006174),List(10817593, 24030013),List(4567176, 51722010),List(60254485, 46003500),List(348197, 57885590),List(8369156, 2690377),List(90049055, 72051901),List(50527536, 56742879),List(63871975, 41109615),List(8127342, 45148300),List(74516026, 78759306),List(36713321, 44798389),List(56915336, 91377639),List(57940368, 17419206),List(41029044, 15617049),List(37389249, 90997450),List(86558574, 71763296),List(64499567, 4861131),List(36012644, 57039901),List(66219263, 69671071),List(74935713, 62804217),List(88060489, 23174071),List(97768525, 14491903),List(53382513, 46515082),List(73169563, 52013700),List(87417089, 30282698),List(98783211, 30663325),List(27625158, 79895313),List(13267420, 92779946),List(43644021, 87056719),List(34211734, 16649958),List(36285904, 37575998),List(47936742, 33463084),List(95732341, 66679050),List(21182911, 43432889),List(8873425, 89266528),List(17604013, 20438915),List(61175943, 19692705),List(6212068, 69008150),List(6179604, 84699750),List(51778764, 25539090),List(92553736, 15731758),List(8266810, 83862448),List(89872504, 78979827),List(8098452, 58423471),List(46080204, 17801262),List(48662708, 98567835),List(80832070, 17177264),List(65233883, 61001344),List(84656002, 86429881),List(36172281, 90683401),List(29444688, 50223611),List(98922909, 34304510),List(57475465, 54586799),List(8271697, 31364401),List(95816435, 64055092),List(8678726, 2148686),List(2423819, 82972321),List(58630177, 1564591),List(14980456, 73819830),List(2481407, 7762533),List(36032294, 19218577),List(76428241, 4043146),List(80560888, 35067082),List(13849644, 61263756),List(23565644, 41950637),List(76044912, 87381740),List(72284080, 75838619),List(99107791, 7260871),List(99746154, 49902765),List(89128811, 52210110),List(41689413, 16151787),List(77287923, 88948859),List(65500376, 59614144),List(21930865, 97351619),List(77523614, 66026849),List(93689513, 21699374),List(50373248, 56690208),List(53386189, 87628833),List(37597755, 91926336),List(34367543, 56739291),List(88868314, 66951222),List(70702346, 87190297),List(962035, 45428736),List(93754991, 13014535),List(24246123, 29729013),List(4265377, 77905949),List(61385602, 84665263),List(59156304, 21752779),List(62870116, 35939694),List(21124754, 15336158),List(82182827, 74316871),List(45353107, 16098253),List(71412025, 46874220),List(18906761, 52162496),List(33391349, 85429760),List(77152336, 95682662),List(22600368, 6288990),List(81982613, 76117372),List(85473532, 33241575),List(65437520, 32865191),List(93977103, 50047212),List(3686449, 4913894),List(75745877, 46660854),List(52569117, 169472),List(79329636, 23652585),List(24044137, 64043120),List(83116308, 17388356),List(52767019, 34051188),List(92410889, 26928327),List(50996234, 35760468),List(20093658, 47501282),List(33163619, 28076749),List(78360497, 91286993),List(2586196, 15634659),List(94344586, 32397028),List(5380012, 59820710),List(31913705, 69497046),List(68990014, 72112074),List(88624964, 70425581),List(1444481, 68134113),List(35393244, 29965307),List(50082200, 23908432),List(10780431, 84531814),List(18803974, 29454261),List(1016425, 7101750),List(34273259, 81336247),List(48403479, 71033119),List(14016679, 45498373),List(96159222, 15787165),List(76099888, 5780400),List(46382211, 39854399),List(83946552, 61310023),List(87593671, 2890543),List(64700348, 65945811),List(78762344, 98248066),List(44050273, 57406468),List(41383902, 52168914),List(74883986, 34719279),List(95796633, 34254185),List(41664503, 83067219),List(91427906, 64178219),List(22060132, 24630179),List(41616444, 66095771),List(67766002, 85893161),List(10890761, 87376771),List(41736991, 80437925),List(6176950, 90827312),List(45108650, 7055937),List(17591814, 73897234),List(83314184, 20751584),List(26235295, 31322060),List(39470489, 84769141),List(97089342, 86133197),List(54478986, 60671999),List(38249833, 28227583),List(45822044, 40624883),List(55319287, 38854578),List(39088408, 46532672),List(74507962, 49549033),List(56404522, 53085383),List(26708632, 3718827),List(89623895, 24411898),List(41703825, 65787292),List(70851421, 67455388),List(7412474, 57873320),List(64569623, 13996084),List(69422128, 70362451),List(86987874, 55086514),List(56037088, 79660541),List(27773711, 19198918),List(7586883, 27559543),List(15061330, 53126018),List(14913410, 23946446),List(36833184, 5536337),List(57822993, 93344050),List(86760836, 64393125),List(70075591, 40334941),List(62924859, 48957359),List(97114474, 76627219),List(18651414, 20804507),List(21679764, 47483230),List(11776785, 58784072),List(85866629, 1137311),List(7709269, 49037423),List(32120578, 96673052),List(82124616, 81065223),List(1418886, 46119738),List(78510222, 27599084),List(70596987, 83568319),List(58188443, 24429750),List(36136463, 45045256),List(72783127, 20803081),List(21696699, 30222786),List(40046327, 13448694),List(87407381, 109561),List(73115174, 47278410),List(90361521, 7846353),List(91996042, 87525626),List(13410919, 15604607),List(65128890, 93903586),List(58486521, 248253),List(17391068, 3721263),List(78948187, 91017666),List(43212349, 85572057),List(56023156, 35851041),List(1320824, 51746854),List(97417624, 16539827),List(76622563, 67281719),List(82330021, 31765227),List(69545104, 59798227),List(39402039, 41264252),List(26951879, 29385502),List(64158834, 61196734),List(9271074, 45906857),List(97519099, 61885972),List(93470150, 68440452),List(55579050, 55757495),List(72755292, 97475637),List(81650857, 60227881),List(6665407, 61586605),List(25206084, 21943262),List(98024485, 8505623),List(42649754, 56533778),List(89186172, 10039298),List(1745042, 12741705),List(19642881, 47306768),List(84020941, 92077977),List(16020891, 89391276),List(9657478, 76684971),List(9900144, 19514017),List(62686399, 10831030),List(73600574, 94629520),List(72409758, 4079550),List(23580304, 82347506),List(53007936, 51446216),List(17412506, 2085799),List(79895904, 13472917),List(25007122, 56180489),List(23560912, 13428679),List(67724529, 53564424),List(10526934, 12719006),List(67250360, 15539509),List(39382125, 32207829),List(72621811, 88762511),List(50332512, 4276637),List(2678170, 90262702),List(68560579, 26086943),List(37324553, 51729929),List(54690935, 25076401),List(14936878, 6186193),List(62316371, 36689625),List(33923319, 1709278),List(84088636, 23179642),List(68280483, 26912539),List(81006996, 10156055),List(17727504, 80680265),List(35102926, 14523718),List(23160012, 84110663),List(17678355, 20354665),List(42064976, 69462094),List(84324447, 28706471),List(39423547, 47975105),List(61489343, 52355371),List(74945365, 40412026),List(47536703, 32228657),List(63538836, 56901346),List(76614096, 35219000),List(14103009, 46633590),List(88820108, 91231930),List(82117371, 74880399),List(65591706, 81096670),List(62343542, 48006426),List(69339626, 36118621),List(57618947, 25206707),List(4962633, 40410326),List(14672426, 53559593),List(54153730, 55679442),List(24993209, 85976332),List(83411572, 54834205),List(2357381, 20304255),List(99867174, 34834665),List(23763385, 57863374),List(29060808, 39390384),List(26848266, 14950343),List(84588701, 70586690),List(330412, 28859117),List(21248309, 48392864),List(4807875, 15104134),List(54522521, 20625890),List(37805205, 7776957),List(76403437, 79758880),List(92342627, 26243828),List(62488717, 44695507),List(35540259, 1690841),List(2551508, 95627762),List(36563265, 76194401),List(36364174, 71038245),List(48358561, 94300161),List(5082028, 19930513),List(56608383, 12961721),List(14644424, 71100037),List(25615679, 10408351),List(67787703, 95808109),List(12602094, 25416986),List(87235813, 57754986),List(47060791, 34574456),List(97207431, 41376064),List(38763548, 46342409),List(7422121, 46030803),List(23337032, 89306553),List(88481936, 41861056),List(13560972, 67922110),List(33259332, 45480765),List(42179658, 65785205),List(23073352, 9000032),List(23584668, 62308430),List(40130455, 67656741),List(27002378, 60833014),List(36016086, 72050712),List(85154347, 9624242),List(27753952, 71971674),List(11924457, 47353043),List(38582780, 74224488),List(8750955, 67155967),List(32611174, 19212724),List(57518769, 14507073),List(78564062, 84607674),List(37856340, 89917727),List(80396012, 95599845),List(45097089, 26124763),List(66081589, 72929025),List(53584838, 37461251),List(78221690, 18066415),List(90000200, 9430336),List(37457370, 64326879),List(61138648, 26473434),List(14997200, 82646896),List(12919898, 67915160),List(56401332, 63527321),List(76499416, 18746317),List(90365630, 62312787),List(67606214, 49899018),List(63213096, 20422687),List(32029937, 29995895),List(46761293, 47162494),List(78731907, 70927770),List(23891467, 57848681),List(63459871, 47048166),List(92331713, 24612142),List(78573706, 93684997),List(20324376, 14835930),List(90208875, 54487567),List(6365403, 71366640),List(91675933, 49900289),List(50036782, 2772396),List(59951, 82909548),List(73538938, 50786829),List(65735669, 23307760),List(10953497, 81228975),List(97794720, 20862644),List(53555324, 74809531),List(88897082, 17787401),List(68313978, 5830103),List(3233068, 94125566),List(93846585, 82671824),List(54956793, 36086745),List(61865713, 55550674),List(58762079, 97922537),List(88096274, 55447590),List(59175667, 49605038),List(42094267, 48096215),List(39349192, 45436534),List(46968790, 50476384),List(62459579, 42223282),List(91606187, 81671478),List(93657318, 22129448),List(29314284, 86962652),List(40964105, 11025604),List(1868746, 33273730),List(32534201, 10292002),List(8104214, 84534028),List(53043127, 18875089),List(67110730, 72361225),List(29157116, 7079212),List(25892268, 54022917),List(41108982, 14185411),List(18329179, 23027692),List(16307955, 40227187),List(89942883, 37215410),List(10828808, 41840635),List(19435750, 53034065),List(52422419, 2081566),List(9626278, 96216601),List(48182026, 59063380),List(82569622, 64451706),List(61481853, 22826913),List(75446218, 16894504),List(87360326, 89252635),List(4067283, 71602693),List(17736549, 57512239),List(86906435, 23488311),List(50463872, 41039309),List(18316922, 36404896),List(96243851, 71803427),List(34872804, 63600572),List(51478853, 27657365),List(23644129, 95722744),List(51410728, 17796074),List(66962192, 46478803),List(14733162, 91116118),List(18829816, 97492296),List(22563496, 83399050),List(17294440, 26027315),List(62863656, 85329547),List(88037640, 4544524),List(80335977, 40267517),List(84380111, 70281923),List(11356013, 42159286),List(41265718, 86807495),List(94619191, 81684485),List(98710547, 36666992),List(24869597, 79363621),List(18618827, 73441826),List(57923848, 24509700),List(69939523, 41356152),List(78685259, 68637570),List(94669932, 87035238),List(85249913, 5383199),List(56071424, 99546398),List(76848507, 83397576),List(22208939, 11979492),List(3483558, 8986981),List(4997327, 11952532),List(62975441, 99658723),List(70833103, 766744),List(68315048, 36194373),List(34212510, 7889995),List(62293582, 24321839),List(11508327, 64685358),List(90300369, 15641036),List(6653904, 429259),List(56475509, 78670793),List(88223899, 39044389),List(29424979, 66540106),List(70417556, 20706576),List(5271233, 71519675),List(70353358, 83119223),List(71115869, 34650100),List(34888546, 2471827),List(5821229, 57451364),List(97973786, 82213441),List(88887061, 6714534),List(63838417, 2259160),List(50513765, 19824730),List(50237078, 38640038),List(98418646, 47997811),List(36743935, 16252234),List(6749523, 44032611),List(59040823, 15604863),List(76407765, 61312977),List(22153660, 11535210),List(80387163, 315199),List(8268365, 61647330),List(5869829, 45171636),List(63631215, 57835260),List(79666486, 39593960),List(8441103, 53556978),List(91809047, 33483027),List(58199331, 38830268),List(26135156, 70941048),List(23075380, 10213633),List(50713986, 67803832),List(29122655, 44392730),List(73892140, 24715990),List(53726689, 75484110),List(1543902, 34561373),List(75222763, 5620311),List(51917254, 17679273),List(73158961, 21000598),List(13400891, 82708600),List(13700717, 30957512),List(47980699, 24167091),List(20925595, 88260988),List(82522212, 21613117),List(19861425, 29237510),List(28245598, 90849832),List(4083487, 81281924),List(99802587, 12770524),List(83747162, 70352749),List(22929884, 89760842),List(15235668, 35210547),List(57451997, 89132548),List(30382004, 39702123),List(9452481, 37280027),List(26077023, 16012643),List(33893947, 11206736),List(58591753, 64940789),List(87686150, 12005813),List(97123883, 41141856),List(10624529, 35004512),List(40437417, 12989289),List(85360254, 35064033),List(31015551, 12077727),List(64859201, 26278850),List(762195, 15716134),List(9923278, 81746832),List(83093776, 47571569),List(37971284, 98218366),List(14881874, 99778414),List(23402023, 21210841),List(74898896, 92809478),List(46489116, 12425398),List(8412508, 34817231),List(10008703, 74498780),List(50621360, 65272665),List(64731133, 43296993),List(11951409, 63227576),List(62325884, 85221859),List(8951739, 9827812),List(19490115, 62159879),List(13600454, 26875241),List(55122189, 89627047),List(21852537, 5141132),List(12869826, 92363908),List(5766406, 14897326),List(75395794, 28489350),List(7745006, 48468699),List(17507157, 90699530),List(68026674, 86187284),List(9758481, 65277520),List(65246316, 36568116),List(89580123, 46679437),List(92719532, 65783651),List(66561255, 6570471),List(72953708, 30921190),List(20133480, 22338796),List(79281492, 2231446),List(13130059, 9974343),List(25099461, 22870093),List(74325350, 34951485),List(74607421, 48571092),List(3046519, 25229719),List(65689420, 50703617),List(5047693, 68682330),List(64318698, 87762361),List(72747700, 95809370),List(92785747, 88701147),List(70881685, 30937399),List(11077069, 15731861),List(14148959, 30895457),List(6449186, 11697771),List(33789584, 24166213),List(37640633, 6100094),List(46271812, 94341639),List(1871540, 70195334),List(43423263, 3199057),List(8945507, 71613508),List(38041235, 37646434),List(64272233, 32432234),List(44747628, 4828722),List(15403648, 65342336),List(60735464, 62151290),List(61972449, 85889567),List(6722550, 39616245),List(13473398, 55576742),List(7463459, 15915840),List(58170072, 28004612),List(85631427, 53139674),List(17815503, 50858392),List(92762824, 74899540),List(4546111, 5913874),List(92946847, 85028923),List(44016460, 28012912),List(18890288, 41016610),List(14847181, 43630444),List(16298586, 67154561),List(55263718, 3054818),List(83584504, 45927915),List(33582187, 31512098),List(54267909, 12146211),List(56245587, 2941832),List(35783447, 75151084),List(4172400, 40663531),List(60593222, 70456535),List(95758338, 90558481),List(37679972, 90290095),List(49464422, 6881647),List(71001334, 33812745),List(80874507, 51823368),List(14570540, 51199659),List(49816736, 21241904),List(2183353, 18893120),List(37692623, 45337124),List(36145685, 82170811),List(38789690, 28394821),List(66010635, 81347889),List(91063357, 49621249),List(66674610, 22642442),List(9394310, 91314355),List(45620664, 89653404),List(20978514, 31665715),List(49363865, 593145),List(39454112, 19695300),List(38736426, 14131496),List(11906882, 92723259),List(30174237, 18326659),List(7574342, 17988796),List(29659933, 42783210),List(40708953, 27724245),List(29446836, 26107482),List(11886769, 84290814),List(78850523, 56330186),List(48428734, 53961486),List(23532603, 27926077),List(70456476, 87273744),List(11069368, 32011656),List(69445877, 40272836),List(34561480, 23730557),List(65779753, 36804519),List(97263497, 31617306),List(77954462, 64773136),List(31776983, 46184293),List(95069364, 96226396),List(435019, 62802701),List(57226697, 47582345),List(37954972, 58872504),List(60350901, 70726188),List(29783226, 65587782),List(48647322, 52655636),List(61121054, 31614095),List(10003969, 44655533),List(92851016, 47419489),List(65803288, 66748116),List(89357377, 7811204),List(97667102, 62240495),List(43391500, 18925),List(2883440, 33718270),List(77964342, 70160329),List(81070501, 87625824),List(84202062, 75247673),List(93036659, 44523455),List(97920963, 99396755),List(83035648, 16296063),List(94756898, 61962785),List(298143, 58760598),List(76227644, 32177294),List(54002461, 56714045),List(91976420, 96865664),List(67022502, 4781924),List(11637455, 8149689),List(56753212, 63533110),List(48345073, 2946444),List(50115382, 64044597),List(64462834, 89032894),List(81169935, 12511990),List(77807240, 39211332),List(73340693, 33648961),List(17000782, 27052648),List(62394639, 21483340),List(38662608, 43885537),List(56238111, 79450202),List(95106267, 53486791),List(41206779, 35081856),List(43586009, 32281115),List(46817006, 58149578),List(95503919, 62963352),List(14672765, 27203628),List(42406160, 66009571),List(85261059, 66392805),List(79120378, 38299603),List(17660474, 56150946),List(16871379, 58589148),List(56458039, 8437835),List(87559160, 17972562),List(8683995, 28518935),List(85445853, 7273125),List(51873089, 99922759),List(16008635, 75649629),List(10673692, 64000367),List(62230187, 44766356),List(16066464, 35565305),List(78741477, 5578693),List(48280444, 68235717),List(79117004, 70955988),List(14251043, 44861634),List(12476552, 6032378),List(45668731, 51422766),List(30023445, 78891726),List(77964663, 89432467),List(33764879, 43361061),List(80794230, 21260507),List(7602272, 3995355),List(58564411, 82413200),List(54845951, 15223079),List(26578079, 21692439),List(22548911, 68932350),List(4311855, 32643991),List(12628061, 33783808),List(8465985, 80712798),List(50831969, 59394602),List(25463356, 86843095),List(47718, 9512782),List(70535714, 16063904),List(16001858, 50610398),List(11768468, 10560151),List(36285136, 78354664),List(21764646, 16580881),List(57533990, 8741025),List(1549887, 68672826),List(15210677, 9301476),List(54422342, 58805524),List(56049003, 70256739),List(12493478, 57604484),List(45561032, 89350108),List(44610093, 34282170),List(84776606, 68619229),List(50436415, 46143971),List(5782466, 22602638),List(60892022, 15236523),List(73332542, 95921109),List(98658855, 19672222),List(81989418, 82753455),List(34192411, 71056272),List(68023593, 47345949),List(58766611, 96844921),List(66909470, 79550294),List(49021958, 28419120),List(19863135, 78294385),List(3683437, 94286608),List(15153492, 1256471),List(14283866, 3820543),List(92542627, 90479234),List(63014533, 52855328),List(67213815, 46476047),List(48362101, 3187385),List(52177824, 12992615),List(43997870, 52811273),List(71196250, 91178127),List(99088857, 17122803),List(30492014, 92626702),List(94440536, 56460546),List(10250084, 10026784),List(33615958, 76524615),List(4249395, 64860578),List(10575712, 55174748),List(35703028, 45677107),List(92888811, 1708732),List(51206296, 66421842),List(77386665, 14503063),List(60792223, 45942251),List(85925240, 87358385),List(63515429, 46275794),List(58805040, 40436266),List(13804358, 9160978),List(5231980, 32932707),List(9495188, 68116842),List(15333793, 15588191),List(80155509, 51629138),List(47143221, 89983285),List(34139398, 83995567),List(7129968, 49968558),List(15954891, 82803244),List(32367312, 57972595),List(80005772, 80155617),List(22351196, 86209209),List(42954174, 46839069),List(26493371, 56406091),List(17468952, 51951291),List(42960625, 94537420),List(13341717, 63108491),List(73662668, 4966498),List(82024559, 508930),List(18757992, 5243974),List(93970557, 90811696),List(22013314, 87493655),List(50070565, 13976088),List(3762354, 24596704),List(83907728, 84286372),List(72138348, 84287486),List(6608175, 70094510),List(81389801, 77390600),List(76248319, 82189784),List(14147536, 24327788),List(17561890, 92756267),List(41225481, 75516180),List(2646278, 44133547),List(52819414, 83591339),List(71807322, 64093326),List(69267397, 50024091),List(84996836, 27923348),List(99301216, 79395172),List(88418951, 86529487),List(792208, 59755062),List(89396388, 23058498),List(72178989, 39496701),List(82002909, 50678863),List(87638208, 84586032),List(44738357, 53171803),List(39534731, 67458253),List(54802570, 13462931),List(88739142, 99728222),List(53201923, 40075184),List(73661902, 18555848),List(68642559, 40468555),List(67074861, 20390982),List(28637273, 37855804),List(69345745, 56986946),List(69665867, 18661045),List(68555721, 73794262),List(65756394, 53325695),List(63099423, 81270026),List(77466807, 32161383),List(98338124, 61603478),List(862021, 48262073),List(32108799, 70031113),List(47343311, 85744490),List(56806078, 76968599),List(38475607, 35520139),List(99194628, 89910760),List(78110499, 84291161),List(33056351, 63983838),List(72201825, 17820330),List(26141346, 12912130),List(49143726, 34243845),List(33954640, 27382281),List(29932118, 40948949),List(97012282, 64683911),List(28433826, 4952279),List(78106545, 18518194),List(56084313, 28380527),List(28279294, 52968577),List(79229781, 84917087),List(38441995, 37056793),List(78408655, 52483788),List(17804247, 27056123),List(96229185, 89190170),List(35552489, 6086309),List(39447322, 98435900),List(60229493, 23454823),List(23258311, 39556322),List(34059419, 72616969),List(87213069, 41760646),List(21936231, 60792030),List(22193123, 79799685),List(49922448, 25164443),List(557470, 41088076),List(74652422, 27462052),List(47450358, 6240271),List(74233003, 34633183),List(56597480, 96899721),List(33778587, 34123883),List(27260189, 19352460),List(1608686, 11182451),List(35474263, 27325546),List(17950560, 55837012),List(14786338, 64345811),List(21024394, 82072190),List(70404976, 29682913),List(98318989, 68392945),List(5784379, 7541318),List(57902418, 47360036),List(85175231, 15233022),List(23244058, 95357051),List(85687952, 18979841),List(66472501, 67485904),List(43953723, 46449089),List(5440094, 7966191),List(2348587, 29577273),List(4687262, 14959795),List(77715210, 79549931),List(43281145, 78452658),List(70077164, 17487396),List(2006943, 90260972),List(24927705, 8929350),List(36354943, 64654238),List(38523701, 50439237),List(67683526, 19846857),List(85705160, 92896958),List(71019903, 33928204),List(2840241, 67322765),List(19138371, 45122256),List(89038057, 61817817),List(55556382, 88016153),List(77834341, 37486637),List(96199336, 86333567),List(80467049, 75310545),List(19751547, 61949326),List(24783777, 32910631),List(62427085, 28708825),List(78266910, 46790072),List(60106595, 66104834),List(75316116, 44904440),List(94403899, 96128541),List(79778873, 76218891),List(1415605, 78638449),List(14839973, 76830460),List(75543200, 86760011),List(96998971, 35752613),List(67937694, 31839969),List(29007350, 48702538),List(28264111, 83997534),List(70015477, 65433970),List(93748331, 76657502),List(41496241, 31248130),List(74109237, 94010900),List(4491401, 49952176),List(95098366, 71688567),List(48487828, 76211281),List(39379938, 31870249),List(61034251, 78591442),List(55772910, 11888748),List(428054, 16229557),List(9691928, 13702816),List(11795840, 23062847),List(46627799, 91857663),List(17213670, 71714082),List(27592077, 34278735),List(25697811, 24281475),List(96598262, 87043357),List(71370761, 75466124),List(22441006, 11619983),List(18593395, 98096037),List(68423417, 76375244),List(69716847, 23162832),List(18064688, 22835875),List(74626795, 80429951),List(86281842, 28963239),List(34152871, 22833016),List(40787343, 52603579),List(31455122, 50117822),List(58829487, 11262235),List(38596942, 35713021),List(7334691, 90742537),List(48524255, 65622072),List(14495774, 36766657),List(76591430, 54036590),List(22379711, 91873478),List(26156143, 29868050),List(38312271, 77488816),List(32320660, 35962929),List(96445939, 42440590),List(70855178, 36044584),List(63118014, 29282071),List(97519827, 11569305),List(56936126, 60303894),List(35151039, 70970600),List(63322037, 4730202),List(51631758, 58306619),List(98788110, 9624215),List(9085166, 66817707),List(8039295, 4667598),List(34390900, 79634198),List(59992090, 12479634),List(75668819, 62148289),List(26278039, 8737336),List(86219904, 45679567),List(31474418, 36651900),List(4976700, 14997668),List(56847011, 93819053),List(26768272, 56785844),List(41074001, 3309968),List(59321320, 83720094),List(7395021, 27048980),List(65650501, 77004440),List(72599158, 93180021),List(20314368, 73482101),List(43411651, 27119435),List(59854602, 25948152),List(32380510, 16189691),List(69398284, 88351422),List(50274640, 67192779),List(50424137, 57713447),List(234828, 33420342),List(23327472, 74179928),List(87130658, 41939702),List(5305754, 25536087),List(55923811, 86499079),List(41072158, 66756321),List(7593951, 17520392),List(8031554, 62786198),List(78002082, 63798605),List(3817957, 12361157),List(17662333, 23043833),List(66167732, 32043993),List(85897067, 71779120),List(38621530, 15350377),List(60209939, 46110647),List(36429113, 65988577),List(61556663, 73248626),List(29007220, 70508566),List(37230419, 85576563),List(27669666, 57009483),List(13703294, 83333695),List(21256653, 72765199),List(45406393, 76436221),List(73074385, 1950038),List(44434980, 79133764),List(28054204, 8837004),List(90808159, 88293282),List(15565327, 41220716),List(62792670, 40747192),List(75174408, 9938870),List(93485099, 19313596),List(80482283, 77423427),List(21433253, 15819346),List(67019526, 5408653),List(68207066, 38490524),List(81712651, 66370208),List(59941201, 52525910),List(75433846, 68944404),List(29212763, 20698482),List(43338389, 40767632),List(33742159, 30048949),List(29032430, 58552782),List(91616361, 86566572),List(4166552, 99454555),List(68420046, 88313331),List(45128955, 10640869),List(73947260, 740458),List(69988216, 69304645),List(38434895, 67915744),List(68935746, 36722403),List(18950745, 94654935),List(88380400, 25284311),List(18795593, 10690943),List(1622959, 90643383),List(91488503, 25312769),List(50599736, 34851293),List(31254589, 11373944),List(60395993, 74855253),List(26345789, 44691005),List(98137496, 97985311),List(67167074, 52245910),List(68663340, 95174454),List(19058484, 41768302),List(24862232, 63001186),List(83983834, 71465073),List(90549679, 5237227),List(35216981, 79298522),List(9013825, 93100244),List(33316363, 60473440),List(26205653, 62877021),List(35239276, 48335772),List(47268323, 1648647),List(94716049, 16818614),List(65943574, 88520806),List(58975204, 56732868),List(43698517, 28656721),List(18270324, 41831486),List(81077832, 77615040),List(55253531, 2447033),List(88091347, 17407145),List(52891956, 39757592),List(7887844, 90741822),List(98405403, 81123949),List(16578301, 69731127),List(86553710, 81812914),List(98169261, 73097948),List(36903490, 32246385),List(73959251, 56317626),List(99880711, 88078577),List(5761833, 4100064),List(40343889, 73883893),List(97482434, 27202537),List(13210448, 39307635),List(71265906, 24147745),List(5580153, 88124382),List(95044361, 39519839),List(67037655, 39065311),List(24010364, 12639518),List(57573517, 25499411),List(77584176, 17729074),List(83307722, 83926769),List(60502464, 56911771),List(19016240, 28758150),List(32701622, 44642093),List(20078678, 47696569),List(95947505, 56907596),List(13482787, 66591320),List(95574368, 32053163),List(76618217, 55436395),List(346514, 37861385),List(46678884, 13478622),List(94862961, 75454737),List(85649369, 86994680),List(78414751, 53606159),List(12755391, 14023017),List(85021114, 22440892),List(85668207, 89489778),List(83945829, 19372124),List(51907999, 53328844),List(12519603, 858333),List(29568029, 6766398),List(21431627, 46743863),List(65616235, 6202693),List(27858003, 33904541),List(75943652, 95797650),List(63381085, 27685213),List(77861232, 86905738),List(84523643, 99554037),List(62880076, 51353293),List(89191497, 85069704),List(67425827, 19596042),List(30757729, 64600249),List(67385583, 84258941),List(23737107, 42112612),List(63711408, 88554689),List(43122105, 90751941),List(91131043, 75418643),List(18268042, 27121594),List(34169958, 50946240),List(45949773, 80410694),List(27105326, 85605852),List(43828869, 57998518),List(9400959, 77914924),List(33637014, 47291006),List(57447370, 27542296),List(22702887, 46448317),List(55366956, 13912624),List(10191842, 38838082),List(44589091, 71122741),List(62870231, 64359996),List(89729858, 61917953),List(23789532, 2518371),List(61456153, 1310346),List(12126447, 2426038),List(30832376, 71675108),List(48494101, 78015808),List(60340405, 38991594),List(10500890, 99870006),List(86194237, 26713941),List(8134068, 28837570),List(99873855, 82108620),List(68331614, 99693135),List(83449636, 26541896),List(35551206, 25268386),List(73384032, 51459756),List(81412176, 17108821),List(54815870, 74004936),List(10980021, 68324465),List(6012021, 74388136),List(76174781, 80619481),List(51081315, 32405773),List(23299559, 2232464),List(36476880, 17632933),List(5301520, 67849958),List(24025816, 98678855),List(61353831, 74174486),List(83310768, 51245677),List(51271603, 59931750),List(77054440, 8151658),List(43137658, 48054536),List(41264270, 97547042),List(16020359, 65275714),List(32687311, 95291512),List(3515111, 76332707),List(93428975, 79679498),List(16808255, 42362916),List(86277989, 28114048),List(93204971, 66089843),List(35526220, 91764811),List(62595316, 85506592),List(76916820, 3842574),List(93512620, 18420568),List(92112170, 59093513),List(62658544, 61774187),List(42621186, 78356903),List(50615137, 40627667),List(47540494, 251946),List(71006745, 3056897),List(92012640, 38176536),List(33801218, 45455608),List(86432043, 26427189),List(94071832, 12044758),List(55233669, 74875488),List(6964570, 31488649),List(47757111, 1299604),List(28072136, 48393514),List(28993653, 93392744),List(41019644, 87736247),List(70955308, 37976475),List(74018637, 82775157),List(37398695, 2496308),List(34062958, 87332468),List(31347027, 71249393),List(70813268, 24496703),List(76301629, 3976136),List(28886970, 40979329),List(9148681, 47066969),List(23032817, 17335996),List(10133497, 74862046),List(78361292, 77157211),List(1011981, 73034387),List(72894364, 52337026),List(14927512, 7851402),List(13494162, 31665914),List(6055869, 13485091),List(88701122, 18988516),List(76092604, 17082295),List(51277099, 48221025),List(76609462, 17051071),List(11997293, 26100196),List(36867376, 13261844),List(55612268, 20339972),List(44128784, 50554181),List(66712798, 39888565),List(33937823, 85017474),List(80574823, 84115885),List(62537075, 33135635),List(98984318, 45778146),List(17920473, 20117745),List(4278715, 11495371),List(81556951, 3247431),List(26184302, 71020710),List(41105282, 34163424),List(97591510, 45674153),List(50571329, 56864559),List(71873829, 62274589),List(11350975, 13783273),List(10946202, 19280495),List(14729118, 43437869),List(61000182, 42904056),List(42338994, 88444728),List(2278074, 80892097),List(96692165, 30394144),List(65810748, 23267888),List(16376923, 46279520),List(50793582, 12762203),List(81087682, 25167225),List(44992033, 4891437),List(45063814, 42688094),List(87711432, 45070103),List(47891537, 75636359),List(21963682, 20733974),List(13738815, 16467223),List(21584934, 57448965),List(23345052, 61199028),List(37057333, 80907888),List(41882307, 18948765),List(19245312, 31031769),List(84692519, 41663661),List(79891724, 27770826),List(17135494, 51197848),List(62595362, 69285502),List(86092172, 33320008),List(18130856, 12661791),List(44031452, 40408591),List(62831665, 39674946),List(12521506, 71839023),List(30103029, 5736216),List(32899353, 47855417),List(72096721, 36374393),List(4906904, 87354301),List(1946170, 84901914),List(35276904, 93478439),List(95059282, 182130),List(63369439, 49534945),List(7510229, 19078637),List(84559348, 75213307),List(19741766, 27260735),List(96997780, 5566903),List(81983520, 50765817),List(71064850, 4559946),List(59533786, 34502403),List(60472529, 35739550),List(63537016, 66194733),List(27465062, 61196115),List(55611464, 98852497),List(32509922, 65617178),List(55575214, 99152741),List(64119786, 958478),List(63273801, 37305136),List(87148238, 91827403),List(1138044, 73164245),List(20132346, 16682180),List(99365656, 78016686),List(16149239, 55666777),List(58484651, 44049814),List(37334105, 60311796),List(50091001, 80656797),List(33332629, 7957904),List(97210197, 86639107),List(19528812, 68424644),List(88772164, 72458458),List(82779453, 36821162),List(73812492, 42973166),List(79836269, 54427519),List(20750659, 34434838),List(44190, 89342413),List(29441825, 73073920),List(16356661, 33700307),List(22292494, 43402197),List(7432391, 23588964),List(72711520, 65211722),List(3769968, 98281430),List(4448343, 10282277),List(46600433, 86795936),List(98312124, 57576262),List(16614869, 15160846),List(95207381, 9799426),List(49970324, 35902166),List(66512165, 53520266),List(72045238, 73251665),List(54818114, 72524919),List(8058418, 16969712),List(23746299, 19956031),List(6210367, 83394284),List(96408709, 84348024),List(93917104, 1618626),List(97297390, 93719122),List(82943336, 48675586),List(16892699, 60141090),List(64736706, 4115637),List(59937551, 64147187),List(66058790, 27924306),List(72205602, 28668922),List(43525114, 46107863),List(44761123, 3656942),List(96916173, 36922681),List(3197560, 95688860),List(17802061, 77973955),List(62556425, 647461),List(79108285, 75114420),List(76420582, 71735852),List(49108618, 42444668),List(58875713, 89933557),List(54591969, 65242446),List(64485863, 65233957),List(68787955, 93033549),List(83751364, 75069607),List(12719456, 22161153),List(59335822, 20110809),List(4728775, 489255),List(39022360, 19317166),List(28356560, 9301426),List(57825574, 41925069),List(76051593, 25374934),List(16430117, 64936021),List(37616596, 49226612),List(36623858, 27427371),List(84020841, 79264486),List(60942883, 26088200),List(26966712, 48403764),List(57700095, 32388665),List(42950050, 37617401),List(1976806, 62901683),List(11819396, 86896224),List(92186238, 58241275),List(7098375, 23474358),List(16377255, 29463307),List(48877610, 22821999),List(58945034, 57193884),List(98501127, 80286027),List(95164288, 2167627),List(95010732, 78861983),List(49773554, 33052558),List(17265069, 86220180),List(55720708, 17422522),List(54069329, 10011562),List(38270067, 65754384),List(77893821, 53018302),List(29513756, 44194333),List(77701764, 55419110),List(48690004, 85793518),List(73924786, 58873656),List(74281861, 63407738),List(86972779, 66407813),List(52261574, 88268205),List(42178886, 17717433),List(13870807, 63191989),List(26644392, 92817218),List(85202401, 10860839),List(16875718, 60870738),List(86408172, 55790549),List(66092250, 94520792),List(26328602, 49645713),List(94211485, 54066806),List(2356737, 58889809),List(52604339, 60630012),List(33704415, 44102667),List(46541569, 51619001),List(23690498, 31686389),List(67867797, 41214198),List(6804764, 61702613),List(28013422, 23718811),List(88703823, 91511218),List(76579274, 37502196),List(91694428, 66436384),List(14598178, 23091381),List(62201144, 52651124),List(54594465, 10951453),List(27429667, 80421981),List(68232699, 56387452),List(54497065, 90744781),List(10567467, 84010032),List(76357659, 68330157),List(2191542, 81029742),List(22390280, 83971664),List(69130844, 49113791),List(65362815, 65431973),List(83869660, 65617018),List(7019764, 30226679),List(45043737, 70887608),List(53696932, 14434652),List(17606173, 73232442),List(14386888, 10223431),List(92621298, 17669340),List(79652029, 44770010),List(69905644, 49361775),List(28081623, 99272063),List(8657171, 59959746),List(17712812, 9378472),List(46305183, 11295467),List(94508405, 89698700),List(82317504, 24374900),List(14453647, 26640806),List(21823136, 57934710),List(66825395, 77004196),List(50491689, 22368957),List(53278435, 52790210),List(31471424, 78405413),List(79810873, 46764854),List(81310824, 45454319),List(61904954, 72418999),List(66227966, 71389820),List(1122907, 19931257),List(16997229, 33798437),List(59599298, 19240500),List(73413686, 48644722),List(90674134, 33598112),List(3209162, 31408377),List(98135603, 93008374),List(70417086, 98250834),List(40187067, 6403517),List(71383324, 73601139),List(37661077, 67835164),List(71902638, 30412975),List(70635032, 84774166),List(31203272, 76796574),List(53851035, 33987068),List(56741152, 16685390),List(76310138, 65823076),List(52642041, 17944803),List(93787109, 94739886),List(16200675, 2667754),List(29140124, 3291954),List(94696336, 26886193),List(98297219, 98287995),List(63926432, 79352091),List(35290840, 96408160),List(68118683, 97662957),List(55118863, 30506045),List(55994825, 39046916),List(51788004, 93056221),List(18268594, 30935236),List(93546869, 12880402),List(33595712, 86056075),List(30473694, 5186935),List(50948804, 90422110),List(58139400, 12305601),List(52954038, 52643787),List(24146656, 94545984),List(33963372, 49782583),List(4857119, 7750141),List(27531158, 86304436),List(50534010, 65845962),List(9664890, 23717331),List(92998379, 41780532),List(88202214, 95928852),List(83512066, 63643604),List(44279053, 50713722),List(33123423, 91384248),List(45545111, 26990676),List(37396968, 15568688),List(78052156, 59456263),List(67281293, 48934484),List(67802276, 10891023),List(35022191, 91567273),List(29233094, 90857859),List(2354096, 85615074),List(18550312, 5985916),List(15126269, 32651811),List(10541885, 61708973),List(22653115, 48755695),List(94756705, 5853507),List(75042240, 28528398),List(32919495, 4426675),List(85101208, 33716266),List(34274952, 59438119),List(2561113, 11420398),List(61500709, 9909271),List(15626816, 69648986),List(49095004, 20497987),List(89080164, 1963688),List(80234579, 68095085),List(24821681, 28411545),List(63041601, 32539101),List(86326904, 24695066),List(35598746, 21548457),List(84398462, 54438100),List(82296567, 54847842),List(22443805, 90806570),List(5465867, 91128885),List(78384634, 8764654),List(86343652, 64858609),List(42432664, 94351942),List(24728110, 57518620),List(82458252, 43626774),List(11950348, 12983474),List(70690133, 3205923),List(10238004, 42815368),List(4129519, 76121069),List(18489842, 55376328),List(3164317, 84451739),List(49562931, 71281636),List(2412222, 88074491),List(79844782, 70631072),List(43071100, 42890534),List(82343548, 19193794),List(75809937, 74267366),List(85224778, 89889638),List(62186322, 72095951),List(9817537, 17379049),List(63253221, 23099187),List(51283798, 73151912),List(7461904, 95259599),List(87208018, 22281024),List(91318519, 36642791),List(22598794, 8947946),List(78047488, 65290177),List(8491864, 56521160),List(73335526, 25187851),List(23898297, 94446821),List(41265298, 21243148),List(93656038, 88662705),List(8774427, 69502454),List(43397088, 41964865),List(92325453, 38109099),List(6493909, 74139879),List(28355450, 48053410),List(46577720, 21176589),List(85837504, 97672406),List(73045495, 79636141),List(84268498, 76414145),List(4948091, 1767519),List(83021100, 91619993),List(18355995, 65519571),List(60645038, 75049514),List(89718757, 80378216),List(55204729, 23484057),List(76849244, 4878782),List(31688993, 39478746),List(31800616, 20637350),List(12186413, 24153503),List(19675929, 36142201),List(20979813, 62344000),List(7703833, 78004595),List(72386441, 96268455),List(95487954, 12762894),List(75832648, 38295031),List(77437732, 40419418),List(63472814, 68327427),List(59166620, 22665393),List(56191537, 92790237),List(293278, 37576370),List(58957975, 13511169),List(44975701, 88573832),List(98786621, 67197937),List(78116713, 11894476),List(42229362, 97243646),List(68666559, 14471048),List(78925306, 26583284),List(58344728, 50625593),List(57273594, 17920323),List(3603873, 62454473),List(50988988, 67835988),List(38249700, 89814375),List(75659641, 56411679),List(15367755, 11960890),List(25914913, 17429527),List(69929417, 64607826),List(25506234, 38935167),List(24528950, 55639541),List(35393203, 80706975),List(91031331, 60071792),List(68093635, 95808126),List(64637222, 5389725),List(75478251, 94384799),List(68965020, 64552233),List(400586, 29479240),List(30465382, 59958724),List(25920432, 91904503),List(99273162, 16431929),List(99945620, 54482220),List(40625209, 92882586),List(57491193, 80596615),List(23337608, 52101792),List(65784747, 65987463),List(41716100, 85036230),List(36258172, 80073963),List(57393635, 91866512),List(76281793, 59586499),List(69999804, 80881191),List(88538678, 23872016),List(67248472, 77835824),List(50195068, 27066891),List(39783785, 64699649),List(58330325, 37872713),List(23571496, 28425327),List(10000596, 81872032),List(38242666, 62056175),List(85615932, 88727878),List(35998861, 85572830),List(58866070, 61624597),List(606278, 50781284),List(81295995, 78872267),List(66014305, 32143783),List(16488749, 82853749),List(27655657, 28348224),List(86676119, 86942362),List(37592064, 7547089),List(88380537, 85828493),List(18074514, 78530504),List(83869128, 55738282),List(55482515, 80068615),List(37218054, 14047963),List(24703021, 52383144),List(61366070, 31260340),List(22690096, 61288406),List(63105694, 47002938),List(9700575, 10753127),List(95712039, 96484172),List(85275143, 27783754),List(86808516, 41395040),List(4822831, 29952273),List(81805253, 92298425),List(96009347, 77694139),List(16531219, 8419260),List(73996501, 11461325),List(99531815, 73687319),List(83053011, 19279475),List(97473447, 71233488),List(34061483, 92930427),List(50488390, 42363821),List(71887558, 9337424),List(32664874, 14127667),List(49032870, 13702678),List(43221114, 22670557),List(45867206, 68213509),List(10040695, 88885620),List(97691097, 78480806),List(46759777, 94416409),List(94224138, 43265017),List(43952151, 83953983),List(76142303, 9072214),List(22419002, 35155584),List(32892241, 37179729),List(21054617, 8557040),List(48420672, 1802771),List(25650170, 2554195),List(23646063, 36262469),List(8197966, 1004963),List(67822294, 3157213),List(64941330, 83506818),List(88930568, 24410820),List(82170023, 32503831),List(5487054, 79472582),List(24407584, 31117016),List(13841583, 66250798),List(75236294, 22250324),List(3137747, 52881960),List(40898546, 98383803),List(29510548, 77717897),List(42387316, 52275651),List(5198088, 72383856),List(30149372, 96277723),List(43269236, 4820064),List(55685555, 35335749),List(95130506, 56918968),List(74479019, 52699739),List(53180831, 32382012),List(31571706, 20704876),List(59772118, 21423323),List(19453927, 4165452),List(82413007, 35601889),List(37181811, 30954442),List(59197500, 36609381),List(35468064, 88795341),List(78072424, 12844183),List(56881823, 87692424),List(35248642, 25675209),List(54330813, 13071786),List(2407937, 4366018),List(41918416, 92597991),List(47061730, 31785908),List(87740768, 82384285),List(2973985, 42769566),List(42142756, 18189850),List(43947052, 62429400),List(75092975, 54997320),List(29012824, 16987892),List(93093234, 19499328),List(74233787, 80144571),List(17930460, 90457199),List(21481988, 1686280),List(52517452, 5479525),List(60128801, 92812438),List(63615672, 7458646),List(67665304, 17276382),List(94421375, 75054994),List(50418905, 44966874),List(16064970, 44939858),List(20474570, 91325460),List(58406289, 97365914),List(45146176, 41481248),List(3288122, 74327429),List(55584566, 93936582),List(59936399, 36382782),List(98757318, 71778467),List(94033714, 17343868),List(89920232, 68650665),List(71153584, 17900300),List(20260658, 56546316),List(73336948, 81374744),List(78617793, 76000677),List(30241128, 78470751),List(18350954, 7585609),List(38806360, 52750725),List(13059006, 48282174),List(16709956, 21342965),List(30213627, 6987742),List(7875631, 3617386),List(50718605, 77037566),List(46134459, 13553985),List(13067620, 47371775),List(33744730, 17844794),List(35890732, 93972450),List(59979668, 76745122),List(57971261, 69605400),List(48846984, 9356874),List(67221804, 51626362),List(41636561, 62233195),List(38799591, 60719323),List(25344335, 50080661),List(30975857, 81852473),List(54015210, 44843774),List(17747917, 76011681),List(61946334, 15604848),List(34733936, 12778429),List(85206273, 33621045),List(54655758, 32646520),List(32815587, 15586148),List(26219211, 58774529),List(69726378, 30908907),List(8368365, 33324591),List(57451807, 58251306),List(5926053, 43823988),List(56983772, 28135346),List(64861369, 15454684),List(85168861, 96893442),List(81824932, 41283966),List(75702646, 34884177),List(18740376, 57536492),List(97392695, 40703296),List(55643394, 52861556),List(15110975, 1714619),List(17704466, 79493330),List(55426712, 23491001),List(69508471, 91095956),List(33911201, 5777733),List(82610171, 15194979),List(46183746, 92243188),List(86024278, 31900892),List(35326264, 45424354),List(31339383, 21706790),List(4809031, 67534915),List(23822322, 41458684),List(65915923, 46148598),List(94008004, 86540837),List(28116881, 54475698),List(66515633, 52320731),List(24818586, 90844458),List(49709487, 37339187),List(75771434, 89588797),List(3343243, 52662992),List(57277529, 8745341),List(40001607, 86182833),List(745481, 20074724),List(1849306, 61081144),List(91375866, 47294856),List(74491641, 47123995),List(5570076, 98607563),List(66089525, 14802829),List(73014488, 37649140),List(27549512, 57256562),List(8596653, 53133295),List(52721313, 88392773),List(49640929, 71169251),List(84003357, 98440419),List(37249912, 83225198),List(93383889, 21927661),List(40511202, 36330537),List(52119008, 1680179),List(64640653, 79702863),List(89596978, 20336910),List(17774606, 58907297),List(95423699, 25849093),List(11444341, 26118939),List(39823562, 19849541),List(48769641, 29599732),List(40358203, 50437246),List(39831515, 44602064),List(46403808, 53570498),List(29900635, 12582092),List(107760, 54987727),List(82583882, 64086618),List(23721428, 26764839),List(43642004, 41067724),List(55080901, 78735910),List(70137767, 9446066),List(84379010, 41318396),List(45689348, 36673681),List(30514258, 65965707),List(6063774, 8377432),List(6186349, 98505059),List(3903437, 16080137),List(6295424, 36494537),List(15243251, 80311598),List(46122333, 86280581),List(73219156, 32790359),List(57899331, 36493636),List(29830434, 20212852),List(91994516, 85588933),List(11478053, 63637137),List(5192957, 31728452),List(91368686, 82285917),List(53496972, 49225033),List(44988508, 90173007),List(59893899, 20095270),List(18286524, 16772083),List(4303768, 82535951),List(7483767, 54250004),List(15222212, 66699024),List(32412164, 32161856),List(9712551, 89387764),List(4795918, 69758895),List(56965187, 6513819),List(50246311, 20527091),List(27589552, 48447286),List(31969019, 83049411),List(644628, 59909783),List(15513667, 63657506),List(5900743, 30970217),List(57599860, 68196201),List(95611926, 94995982),List(88684193, 8618465),List(7288839, 69281903),List(9467878, 15341480),List(53730990, 73044717),List(64749849, 10476145),List(98972125, 68826088),List(12345530, 22908665),List(96137348, 96677364),List(14343467, 32643377),List(14838411, 5353878),List(53379659, 94960752),List(58514547, 41207447),List(33784729, 59535494),List(85930783, 36643947),List(35934673, 6893782),List(99115565, 1567237),List(43137578, 37147816),List(84049876, 77924112),List(86993598, 97079741),List(83188847, 79564485),List(16235651, 60070825),List(76989742, 93190774),List(76096051, 13602622),List(46929015, 30696712),List(4545195, 37541463),List(27366307, 98161572),List(69874184, 37490945),List(2152834, 96224063),List(17687725, 39086919),List(6750814, 80902440),List(24352987, 58425333),List(21598824, 26946629),List(92709126, 50215104),List(39303025, 40103012),List(58563468, 24445062),List(43249838, 96900873),List(58383670, 68287050),List(26359051, 58546540),List(11390868, 42083041),List(30877694, 33031537),List(38478421, 40895371),List(14833434, 44061360),List(43441566, 66928935),List(80950274, 10792518),List(28893541, 80155801),List(40653803, 46161906),List(53271556, 23572693),List(95473006, 92051520),List(7332565, 78792931),List(9221966, 65577196),List(95314452, 53789147),List(52440271, 44018272),List(73143117, 52297547),List(73371721, 55297467),List(25992833, 80876621),List(59091408, 36100781),List(48131668, 1196676),List(62844658, 74312208),List(56402231, 45139454),List(31152997, 69943529),List(67404929, 79567629),List(71494785, 71852409),List(3976248, 28370370),List(72291260, 98920561),List(79393650, 11634565),List(64137602, 65448910),List(8909102, 62207102),List(55533944, 33866195),List(89727864, 92349424),List(44661378, 70845606),List(4379949, 95454508),List(77498491, 89534610),List(78198556, 33145182),List(76760201, 3260441),List(9884030, 34975867),List(47418199, 70640291),List(76090104, 8113967),List(95767477, 61059092),List(32954126, 29577402),List(64319000, 25869703),List(38997214, 10171883),List(95302651, 7938178),List(6094809, 46881108),List(7281763, 94986560),List(95231016, 19707681),List(75777570, 66194650),List(29798966, 26751238),List(45195634, 1154904),List(22563960, 71400197),List(13849557, 31290806),List(21933226, 42486832),List(1740029, 4655431),List(70589469, 66645211),List(55593839, 26548356),List(66780752, 36570132),List(12359214, 24066734),List(39343409, 89926887),List(13064406, 40842628),List(38161744, 60007162),List(68093267, 20295939),List(77617804, 44235475),List(10337340, 11825554),List(17218435, 55991488),List(31659377, 91677109),List(97273820, 44248264),List(40718298, 2456856),List(55448914, 9295373),List(77806308, 81301338),List(50012131, 3858744),List(58293311, 99630626),List(97508113, 63065681),List(15681648, 36142248),List(18361428, 3122170),List(85852145, 28094707),List(35909154, 73117681),List(8870392, 65425536),List(85680290, 15262786),List(46520790, 96646139),List(98064954, 53814828),List(95199869, 20151550),List(31518916, 47627492),List(92549868, 2945396),List(56487331, 61773115),List(22058334, 89547287),List(83406934, 39704316),List(97835726, 20955616),List(88799065, 2846358),List(36055906, 10037385),List(35798833, 52810081),List(46600437, 64282648),List(98768069, 51538375),List(86633514, 30430486),List(59975536, 81005143),List(39438878, 47087165),List(88677463, 53995878),List(59610803, 97647052),List(20088799, 90551242),List(79560712, 20254252),List(32251008, 56883535),List(50776674, 66262524),List(23256654, 34751822),List(72650698, 22283573),List(81335482, 69490820),List(63901829, 64257405),List(54019592, 11344860),List(96030744, 23524409),List(42168204, 24024813),List(39653390, 83502219),List(81949153, 47611430),List(45160261, 81873403),List(93012903, 56525533),List(30639910, 38005626),List(93448577, 61950357),List(25437850, 11839353),List(28976473, 67081799),List(96064486, 40836832),List(54948283, 11837802),List(37361098, 73900838),List(76379671, 5525674),List(13668853, 44741141),List(8359816, 81617289),List(15382769, 8215455),List(40454726, 97897890),List(44152798, 98255302),List(57245363, 35714519),List(54552898, 11058534),List(54880016, 94318594),List(99977364, 58313794),List(76690428, 85648554),List(52523058, 9239395),List(46808101, 78463280),List(1415916, 16075053),List(33690859, 22434218),List(51813606, 63555558),List(56621214, 19766847),List(53462608, 34625833),List(60664302, 62153459),List(8559279, 73264836),List(70948778, 30972854),List(18024284, 98742278),List(82167159, 64594105),List(47942393, 39685737),List(34465006, 13526801),List(48251867, 8187339),List(40473995, 4729270),List(26250844, 60729615),List(26636918, 61769750),List(64561873, 59799433),List(75623952, 42593977),List(75479073, 92330328),List(86297151, 49127702),List(19024739, 76763915),List(37144131, 69198954),List(77324854, 35977264),List(46701783, 58246167),List(2765197, 18343537),List(54744954, 1397966),List(68415906, 40710947),List(61688310, 25842974),List(99771750, 52205446),List(85733797, 79539474),List(31032984, 30011075),List(35675743, 81312405),List(14529318, 80588011),List(50902503, 63366906),List(40351282, 35658549),List(27671012, 86312387),List(13765912, 98840272),List(61483170, 29012990),List(93060828, 19531303),List(49314520, 88654799),List(31562124, 63162080),List(57901630, 64422019),List(60607374, 96530221),List(80725827, 68165849),List(78826815, 50491138),List(87861609, 81838029),List(68183122, 72832181),List(89220562, 18103877),List(77508077, 5241928),List(13638184, 32568784),List(85772572, 54658944),List(30781023, 82402926),List(871658, 10193653),List(88906064, 27678218),List(64216855, 14877101),List(62616022, 61387179),List(51603229, 79298460),List(26316823, 3967725),List(48899206, 42597026),List(3522700, 67002809),List(2049250, 65467265),List(63281255, 64376804),List(63572647, 10629595),List(45802423, 28095175),List(34296107, 34656038),List(21562576, 38454825),List(11755988, 12768997),List(76335200, 73016116),List(5357461, 37809511),List(19442774, 9245671),List(51332263, 77802336),List(92568669, 60746531),List(67779220, 4644122),List(90441954, 80789805),List(74058349, 94378212),List(6426522, 70926359),List(60185593, 34849563),List(85091869, 88364626),List(7389465, 43482060),List(96493919, 17548071),List(61952329, 93001297),List(95885472, 42997479),List(1335553, 50323043),List(20002332, 14192387),List(95310679, 11555092),List(46956969, 89110741),List(67733648, 58406526),List(4914161, 63728443),List(46424860, 39565205),List(52609910, 68634889),List(73168635, 68355536),List(63466974, 45768837),List(65778557, 90032648),List(34682273, 82136618),List(71199356, 14307788),List(75831726, 46617379),List(55714731, 64458921),List(23563270, 20148080),List(93211599, 5002328),List(41632486, 8649149),List(59574524, 14424512),List(7834796, 88604404),List(3580433, 27990711),List(47682830, 81613954),List(30298297, 80354344),List(14228588, 50212271),List(44705270, 65868490),List(16653447, 68718895),List(53192546, 54206163),List(31877024, 99031026),List(18481947, 25290623),List(51852989, 54096107),List(3183630, 37361632),List(27837303, 89608459),List(76859672, 49377865),List(50054904, 54100172),List(70127136, 70135241),List(19916080, 93852967),List(55311547, 81341571),List(40192277, 21191639),List(72570380, 44480728),List(13234228, 3221719),List(36274877, 93843735),List(89857334, 6159150),List(52042333, 9027612),List(37415547, 73221557),List(44241865, 5114038),List(65783751, 72743658),List(86313666, 63290526),List(35669366, 33177446),List(34388443, 6187565),List(53296738, 84154366),List(11445675, 98945197),List(11644151, 88017156),List(27585648, 63856107),List(4700742, 45751536),List(2794338, 63178457),List(94258582, 13948679),List(94973617, 26625454),List(36224107, 739746),List(2093079, 93343634),List(59146486, 44318370),List(11493774, 86686031),List(45202360, 60725597),List(82635603, 455956),List(83470167, 29108278),List(72888176, 17831132),List(86735261, 73499505),List(77823514, 52285732),List(34333081, 66614959),List(55755675, 44375362),List(91153616, 44680334),List(50509556, 83242825),List(72866216, 6022089),List(60125465, 29230902),List(38396484, 82079353),List(1036616, 80804805),List(1368351, 18313818),List(19300097, 13220237),List(24592997, 11705016),List(19921795, 61051965),List(63063911, 44217602),List(31567193, 30575659),List(67468812, 56219537),List(82473530, 50231380),List(16530157, 82379726),List(66739255, 770428),List(92643660, 68584294),List(54537681, 85184653),List(1338337, 83910345),List(41463917, 56597559),List(85564702, 40241804),List(24397579, 92115665),List(89059239, 47187368),List(53588821, 95948739),List(35286389, 28360933),List(62240567, 49044235),List(84087533, 639161),List(44109884, 26495309),List(72822500, 39226484),List(71339636, 73634017),List(47563842, 45738300),List(44763358, 52121258),List(29281017, 15076469),List(90874127, 53941790),List(8925342, 31016884),List(4456006, 23745590),List(90752389, 62163328),List(37048773, 99057702),List(42490444, 41221086),List(83369578, 12399049),List(21996336, 68707046),List(70470503, 37889499),List(24830590, 51809628),List(67331500, 38761024),List(62522032, 48373747),List(25807161, 41415264),List(12524745, 25976532),List(60269, 90279863),List(20372274, 21382358),List(78515710, 49405360),List(64712661, 35727298),List(51020999, 82922685),List(66420878, 71771455),List(48442140, 94262846),List(32952608, 89701602),List(88205873, 24906680),List(78215252, 65611087),List(93963164, 68887500),List(47864073, 58794035),List(11115968, 42926694),List(34171753, 43506049),List(97998420, 6518691),List(93295450, 39438347),List(91266732, 54221393),List(31954046, 56687342),List(36815590, 33313581),List(82882523, 84053956),List(81326567, 67237249),List(54347153, 78164426),List(58203701, 13604161),List(53901032, 24832685),List(45966357, 45301179),List(7031724, 63645062),List(65430764, 56323512),List(69959440, 77604198),List(96585196, 59916687),List(96574302, 89079146),List(20865596, 28289699),List(72452319, 76576527),List(15439880, 50694401),List(61021717, 71024482),List(85607074, 43632546),List(96051891, 26769576),List(90107804, 2446309),List(93957412, 54818506),List(1621320, 18939803),List(45174516, 14186748),List(69487776, 47871264),List(32391021, 3100189),List(94358842, 3252487),List(7387433, 70512629),List(45538674, 88494351),List(58974344, 47953762),List(58121485, 4328773),List(34477803, 76642967),List(63415381, 86494553),List(38840952, 54373256),List(67673229, 76034978),List(76571030, 99755406),List(6167355, 22161397),List(24090508, 87250322),List(18382682, 93379289),List(72146762, 66656772),List(89347197, 37655556),List(47955668, 43159647),List(45197772, 47808730),List(87824880, 86628204),List(84924959, 89225858),List(60875225, 26846108),List(9859950, 36312168),List(34379320, 65868663),List(97877119, 81851277),List(65501866, 54783551),List(94243176, 55704245),List(27950764, 33192848),List(32955078, 29191480),List(44791027, 54666397),List(68932356, 19051849),List(15252532, 84483216),List(75663094, 93909389),List(38563414, 27657194),List(87705315, 67015083),List(71575598, 91357247),List(56188368, 17008799),List(86609512, 55007611),List(27191556, 52853818),List(28209598, 59370449),List(78261845, 4870130),List(7046030, 83507775),List(58592468, 12752876),List(18574272, 15089516),List(12497449, 95081920),List(56093858, 88872705),List(27334896, 70141511),List(13282782, 8275246),List(34813195, 74905178),List(21631147, 16439437),List(56449551, 80137066),List(61136239, 96422770),List(12576092, 91510893),List(44656221, 18950470),List(42948600, 81715763),List(32207592, 28801745),List(46931846, 95920790),List(61465798, 97586370),List(41460076, 50448751),List(80151505, 42193786),List(19906150, 17565384),List(88581073, 92127927),List(1374090, 60645502),List(27799683, 39346867),List(4452413, 92930660),List(38123049, 36891093),List(16007989, 24643900),List(47703329, 23264192),List(42370971, 99269286),List(49858651, 41518849),List(601321, 84939317),List(15649897, 81905316),List(61351200, 4028922),List(26893238, 6934273),List(17442326, 14048842),List(19995038, 21147989),List(35545746, 68315203),List(59549086, 99402524),List(46164784, 61858065),List(18770951, 8445103),List(14590868, 65845434),List(42014349, 66361228),List(36618953, 25826536),List(13053336, 90605746),List(11485804, 53036573),List(30457974, 80331021),List(62901670, 56837837),List(78285426, 24316236),List(42613080, 79658865),List(91408121, 63457565),List(54625615, 72504761),List(71941693, 77310947),List(39245035, 75596234),List(38677001, 66976003),List(62258592, 770407),List(14859661, 2902457),List(68219237, 63938827),List(8264167, 24239166),List(76714633, 83824730),List(65340049, 9216589),List(97120278, 63804866),List(96218756, 38453172),List(45892425, 84189105),List(16787002, 95105998),List(21611402, 47881966),List(28518240, 54318755),List(92542177, 76430641),List(43353154, 85601108),List(59888559, 68452521),List(48959785, 20621435),List(75089404, 54210887),List(85536893, 72026996),List(51196080, 84558798),List(44742855, 83963319),List(31801830, 88982751),List(24242990, 59237730),List(55016505, 7911501),List(29065489, 8891066),List(51402006, 95619142),List(35144611, 76056460),List(86504188, 83389721),List(35403495, 54846034),List(81129593, 75627959),List(33210731, 21161867),List(56094833, 26543285),List(68330982, 7044022),List(20074019, 37598226),List(31562616, 40211134),List(81281797, 112471),List(83243255, 33430530),List(80365690, 70093970),List(97437427, 57522648),List(45210448, 75658954),List(58840263, 29114120),List(69868715, 78574820),List(77424909, 40608569),List(4469109, 69668281),List(37019084, 34689591),List(29919505, 25978923),List(10177096, 5923590),List(97417775, 29347871),List(75973857, 86058226),List(46467747, 62039138),List(73592277, 61165140),List(64088843, 72916219),List(6088419, 72453468),List(40083918, 29717908),List(98180623, 2433292),List(79863306, 65025295),List(94237023, 73782431),List(153222, 9651955),List(3923508, 45200946),List(32772525, 3329146),List(49906203, 32869655),List(40317644, 64221568),List(637229, 5194775),List(45031003, 78404758),List(64295936, 22603269),List(67759710, 68781024),List(16485929, 16001296),List(26247190, 68053949),List(30522991, 14284268),List(66582700, 63904590),List(77367151, 8036775),List(35089684, 75325730),List(66283113, 58462587),List(62548562, 52167559),List(81032215, 35408497),List(75301660, 19545337),List(84231826, 57071481),List(66917225, 1254027),List(11750128, 12649208),List(22991169, 60324218),List(36599776, 88184734),List(80838766, 51898719),List(77095997, 40706473),List(85672353, 18006276),List(218891, 4776456),List(93637709, 31413611),List(53129886, 40431342),List(74908482, 73205004),List(14050369, 2392335),List(53908879, 96012731),List(93684735, 96141361),List(21312317, 35037420),List(76155782, 7993489),List(64526073, 25102452),List(49931808, 22755134),List(73783758, 70247613),List(83422067, 35454595),List(25855166, 94739185),List(46161439, 39618782),List(91890088, 52327303),List(23467594, 77824118),List(42751604, 59414952),List(25993625, 59529083),List(47069681, 2393168),List(50450747, 29428456),List(69955863, 97941544),List(98785942, 97554560),List(55926562, 32383892),List(96274252, 9694354),List(77238131, 44888811),List(50021978, 69649415),List(18136202, 43071445),List(32366749, 14683084),List(85711454, 17770826),List(75946998, 68434476),List(6640905, 25791725),List(2673694, 59200103),List(65066031, 56016898),List(24479868, 36933832),List(15705649, 86458857),List(77006474, 71006876),List(58139716, 9808722),List(58841613, 96476875),List(40661882, 45109022),List(78696175, 62788115),List(86470463, 23186832),List(92280504, 30375022),List(63156403, 53813511),List(73118043, 14344005),List(62212784, 71510505),List(21174490, 9653119),List(54909607, 12695969),List(99725698, 35354443),List(54743755, 34652802),List(35726593, 89836933),List(85840495, 74777220),List(73716554, 69241727),List(30140015, 28726036),List(33585247, 62483791),List(89071763, 22156852),List(89763316, 64069379),List(34683650, 28855689),List(41077690, 45956290),List(83463707, 77913812),List(94371564, 57668344),List(61798068, 21761276),List(19896904, 42603868),List(54586647, 72277749),List(13021685, 36731446),List(56137948, 3294687),List(18811369, 59295345),List(29303389, 79078808),List(59561005, 8812324),List(73765696, 82581839),List(20679848, 68433296),List(2555240, 49185386),List(90751692, 73823182),List(37955635, 68797458),List(8893712, 66413891),List(5103462, 38966970),List(48532290, 75907851),List(53421440, 24171822),List(81954667, 48729906),List(45630598, 24442816),List(17887219, 26885082),List(65611570, 90218982),List(88967867, 95602071),List(68359184, 74795024),List(18477476, 13145352),List(24998832, 94272874),List(88644170, 1665371),List(75102003, 86761635),List(80244075, 21698489),List(76723196, 64688688),List(43167999, 43949718),List(99170943, 84611084),List(69844056, 62422874),List(85889683, 4199944),List(71910110, 57995140),List(66463114, 86278818),List(94557148, 29155474),List(98046423, 56860312),List(49943398, 74916466),List(28741209, 14493614),List(62932607, 44616100),List(63143127, 6557243),List(92981148, 5666117),List(6035523, 92616656),List(35329951, 33881402),List(93170363, 46872066),List(86187189, 30799993),List(45458426, 53739303),List(89822701, 13153718),List(9950431, 44370257),List(24124472, 40179680),List(31022052, 96532361),List(53610968, 87451323),List(71779610, 13099567),List(98904717, 88809302),List(47738844, 44202743),List(92961599, 19822137),List(52176493, 2217405),List(83790045, 71688818),List(13939187, 92548837),List(25649198, 60621760),List(54399723, 80282764),List(1223578, 49299088),List(3926835, 9928158),List(63854368, 60032607),List(18602024, 40295782),List(50683735, 64854322),List(79419532, 55952357),List(53206649, 41746329),List(61959718, 2496924),List(24763001, 78601619),List(3112445, 77559453),List(30309712, 72893626),List(20026998, 12922308),List(10628147, 72690833),List(97423818, 75827593),List(45767446, 88590378),List(85861878, 30722181),List(92942883, 56219240),List(91844406, 47896342),List(4894710, 6292146),List(68471982, 46376957),List(26471770, 83980996),List(66484430, 56840962),List(89612198, 71381890),List(54045507, 99977128),List(9072062, 21070482),List(37329237, 2951651),List(3638963, 70675935),List(81683015, 25222601),List(4579912, 1371808),List(62677231, 16455826),List(32805327, 11943407),List(41972684, 67846569),List(61266389, 5860931),List(77313691, 60991433),List(13616838, 84124227),List(82154878, 55198505),List(838909, 4045741),List(4045742, 15750203),List(56706587, 1630153),List(79618445, 94089762),List(53991775, 54828409),List(8391451, 7087290),List(87755313, 35776084),List(97159536, 22506059),List(12729708, 2680130),List(15880984, 86634166),List(98346803, 37936746),List(71833268, 30587630),List(55793411, 85249029),List(89168350, 64661919),List(68096349, 4318333),List(24742497, 9337007),List(71832264, 48626009),List(65281364, 46808775),List(25930049, 99743377),List(30932039, 21742875),List(40006673, 38642279),List(73641674, 538387),List(38978601, 73781992),List(13676838, 49287785),List(74726543, 68150003),List(70946179, 33512225),List(75862233, 13486631),List(63499823, 4329658),List(96436445, 1797579),List(49182110, 55835277),List(30470057, 56669807),List(21780098, 14755228),List(77702553, 83225140),List(76986446, 68506440),List(26643157, 22725331),List(84196079, 91844045),List(54409873, 56330980),List(57253007, 82889619),List(94146344, 73942646),List(27046731, 68610733),List(93596577, 54506072),List(18166240, 44778604),List(11116829, 72927162),List(45987218, 57807450),List(44307756, 61206377),List(41994343, 87655169),List(30882461, 26762436),List(45772343, 75261380),List(61129030, 96809531),List(60698632, 6802342),List(67076982, 9793235),List(24500582, 49537802),List(75461566, 55878219),List(97195687, 71105711),List(55682012, 40136915),List(66025493, 36165680),List(2976371, 80520939),List(39114254, 69543713),List(10062765, 81798638),List(1768436, 6921010),List(86638724, 91396282),List(6060283, 25262424),List(37726907, 60711446),List(22449780, 51989631),List(14024471, 42823395),List(8340451, 33660370),List(85622517, 19000111),List(15520461, 28327843),List(79326296, 188657),List(91903494, 66454933),List(60472210, 91531588),List(60067356, 16858483),List(26988069, 56854893),List(33828182, 37627480),List(54159165, 25124643),List(13455810, 39308874),List(80599305, 85557831),List(21524216, 63041449),List(81910782, 31245133),List(13207797, 24929400),List(89518522, 20637530),List(18144434, 2283122),List(26861190, 71273167),List(22105031, 39126235),List(14205252, 71446598),List(54013108, 59184437),List(2524311, 54165112),List(81289422, 79803572),List(50225312, 30867135),List(74468849, 84758658),List(54731830, 89040149),List(69722795, 82553959),List(82465279, 30030692),List(60927240, 34642658),List(10199865, 77475461),List(76857353, 96068337),List(43246961, 30979988),List(75521569, 83639919),List(35271560, 39165963),List(47182349, 62818136),List(38007408, 59400902),List(28385695, 50452305),List(87240073, 68083311),List(99657991, 42154220),List(40687270, 33720572),List(50857814, 71118687),List(79953788, 39943915),List(21146492, 63225338),List(82071080, 80190410),List(62392645, 11278232),List(44818742, 477975),List(82669637, 78696828),List(91207410, 34392833),List(52111344, 33655686),List(46239467, 50728301),List(72572447, 98382801),List(89206750, 4750270),List(48111684, 42694630),List(3288466, 27778437),List(78578446, 40417435),List(53818192, 29155706),List(84073461, 47307730),List(14265290, 21228909),List(17329761, 29604792),List(22743743, 74775730),List(37095054, 19500151),List(87794724, 57952303),List(47619613, 81844684),List(10525101, 77236329),List(62240853, 73264924),List(19566800, 1908436),List(17109195, 69375617),List(57561425, 48770500),List(60420228, 55022779),List(44993416, 9035815),List(15523680, 77543972),List(84441070, 14134007),List(36429691, 28569309),List(28330343, 40903904),List(2211570, 10819963),List(92713401, 89813152),List(13563238, 99280171),List(72955309, 43200029),List(98688635, 7042983),List(92918378, 18078794),List(55043315, 24155104),List(87322596, 44494288),List(52154264, 68440757),List(28913032, 27372173),List(72814176, 29592656),List(17498058, 55781339),List(51327747, 42754436),List(5377561, 33901083),List(57341592, 28740252),List(37620530, 75154926),List(65187718, 45713432),List(49435993, 60613139),List(75037970, 25762349),List(71021663, 94279168),List(12244039, 25432780),List(681690, 69974384),List(94535896, 24953879),List(88225673, 33756038),List(19262088, 17819630),List(78716372, 93531692),List(56562197, 79045926),List(5870366, 77996209),List(47651038, 57377699),List(36911315, 27021525),List(57000984, 67268852),List(97996435, 4207648),List(48446671, 27319741),List(44166065, 20285479),List(78743613, 18033480),List(3242123, 77635718),List(25399300, 43826350),List(89706812, 15695661),List(21758958, 32901942),List(82610504, 77211997),List(39438426, 62625590),List(63536042, 96257555),List(68680575, 66639777),List(8096985, 45977734),List(68461245, 30201481),List(59269778, 45223808),List(58330375, 57783276),List(6969863, 48249557),List(63344630, 20787278),List(80364817, 36498626),List(79817974, 31524437),List(63720728, 82154710),List(41710871, 55735726),List(82444748, 4734327),List(6632337, 34761075),List(92273457, 41806621),List(32881286, 33709088),List(98485711, 76688378),List(54663674, 43689857),List(19891749, 50184817),List(9556817, 85009446),List(39222833, 52502165),List(51223189, 75640836),List(48922913, 37321160),List(26038349, 17700379),List(41948677, 93067578),List(89967970, 89884625),List(6240984, 74140403),List(50778152, 23392663),List(46253037, 35302242),List(1769910, 75598232),List(95610705, 73990234),List(27282829, 5309225),List(83648706, 34222117),List(77696244, 73086969),List(99283627, 98758615),List(91623401, 21180198),List(86661900, 34927316),List(10722360, 30891747),List(84728797, 40120827),List(87070773, 30404590),List(13366628, 79995286),List(63165638, 90941356),List(62871634, 87662271),List(28061127, 79424075),List(36946265, 32451999),List(59467831, 88909795),List(96479548, 29895819),List(72716291, 33031842),List(23210567, 38476977),List(13333845, 55472613),List(86630345, 80969268),List(7131150, 55446058),List(55575465, 45245340),List(85833659, 74548543),List(74567029, 25088011),List(39880381, 12280253),List(57346487, 6611076),List(53680548, 7317065),List(3762866, 96224363),List(86105966, 90233338),List(67108359, 73610449),List(53707516, 51644468),List(11157949, 47682125),List(39907319, 86574737),List(44703407, 79044934),List(12027964, 93895283),List(80178333, 59511977),List(19698781, 55087466),List(10001542, 86202107),List(57715741, 25005290),List(95440885, 44490473),List(399737, 19004954),List(5229087, 95895391),List(75481124, 17170841),List(18975881, 47811573),List(70744055, 57248897),List(64561495, 8002117),List(92870077, 28201590),List(70432818, 46696803),List(59943339, 57083606),List(5283356, 19764122),List(30176638, 66782009),List(74323753, 51485885),List(72202072, 4962657),List(92723420, 89571622),List(3474808, 33443872),List(83743977, 47852817),List(4771785, 72004747),List(31225328, 72612691),List(39991698, 47887874),List(66739255, 53439240),List(29465058, 9846593),List(78306498, 54744429),List(3122641, 50496437),List(59155223, 24514663),List(1035206, 9860737),List(7349095, 16926492),List(91619215, 64186374),List(88170897, 13452746),List(97554362, 93647974),List(78422498, 81672732),List(18481502, 48954870),List(84571379, 22608815),List(29777058, 9165653),List(3240237, 76861697),List(45588572, 45203912),List(4996465, 8277196),List(24720178, 57634052),List(66281443, 58568714),List(20428296, 69885316),List(72855866, 90447165),List(12083110, 60119403),List(28462273, 51497435),List(34660933, 52160233),List(25691358, 71522359),List(62226278, 36573820),List(73284671, 1968677),List(22359003, 47376933),List(55003359, 87375285),List(98201671, 48502346),List(22873564, 94665794),List(76170961, 16561232),List(54863355, 83477201),List(82568470, 67327417),List(83961092, 48096114),List(50152711, 20025090),List(65713525, 62964839),List(8867714, 86630499),List(12943193, 9792010),List(28930754, 9560347),List(90010852, 5086080),List(99999269, 24191890),List(89508883, 5731554),List(39077572, 32100906),List(82640052, 92624484),List(81370475, 95582323),List(36033106, 21257886),List(18765925, 36407881),List(50572970, 88534119),List(94121578, 66826706),List(90231341, 53279738),List(32633461, 38313755),List(62089485, 16655000),List(75057132, 68756017),List(12952044, 36610339),List(61245753, 48689234),List(56422250, 34751913),List(33319833, 32443407),List(7607433, 49051173),List(58099060, 2847825),List(37635438, 97738841),List(12828310, 1845426),List(56440510, 34590075),List(96216094, 16554126),List(50313137, 22560681),List(42898778, 70586949),List(70955743, 24548619),List(89197869, 47285509),List(2396896, 72336435),List(37481635, 97054417),List(46200444, 30576109),List(12854396, 2839134),List(18738172, 63216747),List(89612801, 58639486),List(4488807, 33624482),List(36195047, 70531659),List(61602734, 68339774),List(61066932, 3729281),List(14459670, 19542513),List(21717436, 24448739),List(821485, 1698439),List(75855249, 71957763),List(89387173, 10400579),List(531245, 72010778),List(68617221, 57782113),List(23712898, 52983258),List(52536821, 26704969),List(9501590, 83474338),List(21488797, 41885743),List(78051545, 78530648),List(44767846, 84866439),List(13541061, 59237185),List(69725047, 39930670),List(38487595, 89712577),List(42541619, 81938884),List(8400420, 81994641),List(87750544, 27852712),List(69475080, 66983471),List(68748937, 8104699),List(33009163, 44869674),List(3303973, 90258426),List(25022285, 60821145),List(11405225, 39004806),List(57949628, 50742357),List(73673202, 2286709),List(9091025, 368410),List(67551987, 78568152),List(39552839, 8865045),List(14422870, 39233252),List(70485163, 58084715),List(10789646, 55669493),List(45927990, 81952451),List(9557021, 97100743),List(14159341, 19514138),List(30386361, 95910484),List(12048741, 40189522),List(43981290, 83214209),List(58329416, 43120619),List(94756557, 45362192),List(87657247, 7779915),List(24393555, 1985194),List(51946720, 41178985),List(29010369, 21601784),List(35973530, 37527536),List(98380655, 3408782),List(93129083, 48697866),List(22272639, 10175714),List(57377223, 91244242),List(99868532, 47767404),List(76881631, 10427682),List(10065048, 79959287),List(98271196, 10039640),List(46188180, 18321566),List(59880251, 49918484),List(71677558, 41078593),List(83045323, 88104537),List(55356085, 89293217),List(19208109, 59195287),List(8302213, 68267551),List(91460919, 40110276),List(76600147, 71781971),List(21121799, 53786152),List(84933745, 37174660),List(25375327, 79569816),List(3024216, 47333255),List(66544968, 10633463),List(35255395, 4314905),List(23730268, 58384398),List(59642033, 62548066),List(42109065, 32356577),List(93958392, 85201347),List(75126063, 54725084),List(71904662, 22673731),List(29347312, 36469484),List(1512546, 31786359),List(67977617, 91526619),List(19838190, 64708457),List(33204661, 95217034),List(94430453, 37816989),List(21365578, 26793026),List(90655142, 64753670),List(80309402, 9012323),List(4105434, 24673569),List(42611234, 10192055),List(61638696, 88897671),List(1131338, 50317108),List(82687285, 58638060),List(49572282, 63449352),List(26038622, 83260649),List(42902824, 54994763),List(8856760, 83523636),List(43575912, 85785535),List(52964199, 26668521),List(67067900, 28267262),List(26296859, 26133553),List(63760811, 78028555),List(47952066, 54201024),List(69878080, 89031043),List(9370663, 61001868),List(31882965, 88477669),List(50834142, 16253461),List(84142557, 60093274),List(40610776, 76363483),List(42366423, 87130685),List(12867304, 18243961),List(12901787, 90093491),List(18533498, 55741242),List(58497556, 66860947),List(88951847, 86343039),List(34132885, 60142849),List(9962985, 86282666),List(83506269, 23099289),List(71693435, 29768353),List(16464994, 30754673),List(94554650, 53089697),List(74171071, 11659723),List(87939762, 37523159),List(77491109, 4867288),List(73019236, 86383543),List(75354941, 49657891),List(31039934, 3987948),List(19871375, 68450403),List(21294207, 16470329),List(85696011, 14768383),List(14851723, 43349766),List(53563195, 38696088),List(57635735, 41420027),List(44420999, 92013012),List(51113861, 4898529),List(96823698, 15932914),List(24275217, 98927829),List(82325032, 65776766),List(90153340, 13100230),List(29165506, 43103620),List(94000467, 29350926),List(33543659, 7560401),List(20953168, 27031843),List(44066414, 41018557),List(13829862, 59244399),List(10838072, 34718404),List(24779237, 22077116),List(75198888, 97657432),List(39529247, 23513100),List(8428012, 12897890),List(81673523, 68999570),List(227991, 3282175),List(23907393, 85110166),List(32346524, 98664623),List(66228157, 80316453),List(2534613, 69495661),List(45113235, 63643347),List(26928107, 69050612),List(890884, 79494303),List(7058074, 72238322),List(33818509, 19933740),List(93765928, 50698433),List(44212226, 2529557),List(83124864, 13614640),List(25587030, 75293524),List(53463298, 2519521),List(68012926, 83019066),List(50436992, 48221200),List(95160858, 72644755),List(97370245, 96740333),List(61702860, 712784),List(8558508, 47176878),List(68938323, 14115854),List(18354202, 67653360),List(6040429, 10751461),List(92037585, 92470114),List(50690392, 60476392),List(71500445, 99829011),List(61085872, 44072419),List(2973111, 3843095),List(94358574, 83242140),List(17163660, 37209007),List(3939919, 18315239),List(11560869, 69683362),List(90616708, 37187345),List(23632316, 13038666),List(14759102, 38267575),List(34269701, 38561849),List(17026985, 3294380),List(57658542, 59688771),List(10169841, 86409506),List(91880167, 66149258),List(64370567, 74686135),List(664489, 40652154),List(66986811, 42289224),List(50182138, 78902353),List(35548362, 6679299),List(92496824, 90472092),List(87002897, 16918964),List(48207788, 51563273),List(66124121, 88766684),List(40362743, 4479444),List(54102484, 21432891),List(89788935, 67337263),List(4192631, 60397551),List(97480085, 87447391),List(92660564, 18015587),List(26573865, 80757618),List(88844830, 82843985),List(17668477, 27340032),List(81259610, 28023016),List(8211038, 53816939),List(83511031, 81466949),List(67973599, 21533841),List(94299676, 32519485),List(2353882, 36305044),List(91677761, 56226804),List(82999734, 74555144),List(43961393, 19080792),List(63240889, 46407479),List(61439794, 64236542),List(52317778, 43823735),List(54418525, 40408243),List(63735990, 29124026),List(38798008, 44940730),List(92404663, 67108615),List(57545842, 5194311),List(14602480, 17578377),List(19971316, 91909335),List(47985094, 40631054),List(40265902, 22934909),List(58028551, 81340746),List(67383837, 31944861),List(78678710, 15270813),List(36751931, 60987974),List(43762652, 19886582),List(38666181, 74900701),List(49528340, 66678715),List(13615696, 76551093),List(19175547, 50022380),List(76798196, 83321690),List(44492293, 29468973),List(93017972, 54534895),List(5916686, 92988137),List(84329292, 43538032),List(74994660, 86857370),List(46376820, 94536655),List(99762152, 14650953),List(97205960, 6028680),List(25469090, 75544641),List(3395283, 95830774),List(38244155, 92030993),List(99747250, 92610110),List(10095624, 37737127),List(72671413, 42124900),List(8194451, 37526421),List(828524, 26672406),List(60701839, 55824050),List(23634144, 40047605),List(51155412, 73834240),List(12459388, 89772665),List(97787819, 42375205),List(88904381, 3636293),List(57268279, 21937243),List(76250700, 38782452),List(60566231, 73765402),List(25369329, 2079876),List(66406335, 69137087),List(57404697, 28259935),List(92562211, 52336496),List(9725601, 54969729),List(80240794, 66924501),List(42847279, 28013262),List(89339186, 1329657),List(37169584, 66145557),List(16634973, 79064783),List(13525348, 34164751),List(28619246, 34745581),List(85839756, 52369033),List(61020478, 93993113),List(80104708, 48856468),List(29645617, 18018985),List(63604239, 30776784),List(18721957, 55571418),List(68709920, 86732150),List(61945057, 81770805),List(17933232, 40200048),List(49801570, 46299185),List(86559411, 95096156),List(47312327, 21399765),List(56541852, 36638554),List(22441813, 81957023),List(8521521, 97801177),List(92177493, 35220191),List(98564283, 80188037),List(63977825, 39029294),List(16356833, 2378898),List(45121418, 18435920),List(20300073, 80157944),List(8363523, 49611573),List(52033633, 17755543),List(27040996, 61182550),List(45749789, 7478705),List(50520433, 90997446),List(51484461, 14069531),List(70294614, 69320083),List(449919, 93389295),List(82492423, 24289014),List(41601256, 44728267),List(22259264, 40933289),List(63593300, 57996874),List(2892536, 97508675),List(52960903, 4983538),List(46951830, 44792246),List(68194043, 11650316),List(23317521, 58399431),List(83143854, 89012605),List(35347425, 46879303),List(59150199, 65643753),List(80326920, 28565521),List(41105068, 930229),List(54807871, 87819018),List(81162694, 92473112),List(39400701, 88927092),List(19590296, 47222594),List(69913493, 6831201),List(8534382, 25809265),List(82378391, 43582166),List(43104546, 12422397),List(31060400, 34928289),List(80626912, 77395108),List(34982688, 14085743),List(74909288, 95651339),List(75801822, 24209661),List(38829897, 46627535),List(20868735, 76962258),List(35330168, 43344767),List(28053899, 3414951),List(5399366, 34234164),List(90377061, 48094497),List(53182661, 94017486),List(34816895, 52964586),List(85163035, 70726255),List(33777660, 35811738),List(84313954, 11075767),List(83189985, 2130332),List(99795524, 65191455),List(2769429, 72913510),List(85851358, 95174560),List(85000262, 60518134),List(91330861, 99628844),List(78483393, 15276414),List(97258630, 71886163),List(64752013, 69548963),List(93315232, 96284973),List(35893465, 14554378),List(30425912, 69654117),List(60211774, 19606527),List(64389189, 87587041),List(63720633, 5815159),List(45127816, 96066491),List(38339163, 85878015),List(58659342, 74242347),List(10138913, 55230513),List(86538892, 32635708),List(78206635, 65703297),List(82469228, 35756262),List(98722271, 23355425),List(75440323, 56962651),List(7997475, 32791693),List(51773648, 41489011),List(35416635, 95684203),List(7492332, 44814250),List(31510635, 1215798),List(78162640, 1084451),List(41236446, 12007743),List(40621747, 80976482),List(83512381, 10068916),List(65526536, 97164160),List(52389768, 68813209),List(1749266, 87218747),List(38314849, 83476431),List(96161456, 77767242),List(59200271, 21890686),List(62797563, 76305577),List(73430324, 75687922),List(2608000, 71261451),List(193430, 8580648),List(2002938, 60950730),List(51944277, 82858616),List(69543695, 26632828),List(98714444, 5058058),List(14980130, 47666600),List(3938350, 39328667),List(30385225, 5159562),List(49049722, 38503295),List(68951482, 20029435),List(17368005, 29034817),List(12680168, 98556665),List(53819456, 40195352),List(21782916, 94824808),List(10404911, 17417820),List(75850145, 60629543),List(24682462, 65682197),List(81665506, 49327025),List(32643583, 87900287),List(48240279, 6935546),List(93089539, 82426107),List(72674718, 14111733),List(49746226, 39711726),List(7138109, 52877846),List(6704704, 44121451),List(6025797, 40839192),List(47031395, 995021),List(20736157, 56536318),List(45514655, 1177227),List(362161, 87933376),List(21426901, 38265176),List(37027617, 10983986),List(49625877, 58389129),List(72376878, 1049651),List(27313566, 3763577),List(50590181, 73242402),List(83908536, 34995180),List(51991384, 22863936),List(26403079, 53903484),List(11944116, 66278450),List(58194182, 63020115),List(9196587, 84458342),List(35121264, 93234497),List(91210805, 54591187),List(26118641, 51169555),List(37955154, 51931273),List(78303415, 16091779),List(38620712, 36325309),List(26543656, 2722244),List(86802585, 31651444),List(36439633, 63141904),List(66713821, 7771156),List(68373033, 78414208),List(60432203, 72213091),List(39723984, 43368841),List(47556418, 26230529),List(71171698, 79260465),List(29844182, 85725254),List(6234813, 95456252),List(54165220, 54014202),List(90954421, 70030132),List(16062233, 96983879),List(85922977, 9986506),List(64336563, 59309887),List(85502919, 18564456),List(81905812, 60934950),List(98504698, 23340731),List(62769055, 75043717),List(70916430, 39604457),List(51412865, 48670362),List(91273524, 90072912),List(80663816, 53248985),List(71322547, 95587753),List(56489196, 81045430),List(28160792, 60783042),List(94197705, 65799906),List(72584640, 6007567),List(21309453, 98197321),List(98979496, 72948700),List(99560438, 78338944),List(11969058, 15953382),List(38384186, 64621918),List(94494684, 39861858),List(87984966, 71438880),List(3587602, 58155582),List(54534352, 74573596),List(50693397, 47742434),List(81647926, 30836281),List(29267888, 36599518),List(72199096, 53078673),List(15923903, 55428229),List(29977518, 3633892),List(24446946, 4288748),List(21211972, 47246990),List(17636439, 65884010),List(43410502, 86933348),List(61733080, 48900174),List(68118239, 46423442),List(23133569, 28756346),List(46346017, 78997053),List(815204, 7160607),List(29721965, 53208857),List(48165776, 17891128),List(23619360, 66621566),List(98472599, 28015093),List(48676107, 57348500),List(89553511, 76081045),List(68316062, 10168889),List(40667674, 27758453),List(98916653, 22591562),List(69927719, 31833752),List(65426242, 80266506),List(50475828, 58301213),List(54925436, 29420487),List(21820321, 91011049),List(19047634, 27697349),List(35287333, 66793216),List(15869054, 58733011),List(71705662, 62842253),List(42085746, 16465928),List(53432701, 10677801),List(47066573, 39614908),List(56584805, 75772339),List(16788623, 6903815),List(56275014, 93448637),List(53703362, 7015872),List(82075531, 40200308),List(45207574, 70096543),List(44983385, 85133824),List(59562759, 48848221),List(83213474, 14066379),List(23763083, 40634767),List(81818772, 12553745),List(95788187, 63624652),List(15047083, 57726764),List(5010555, 67059615),List(7298072, 11837687),List(44381983, 88519878),List(84371426, 75534298),List(65760051, 68762652),List(2015806, 48851470),List(99135183, 91914306),List(17049136, 8698363),List(7164083, 68968076),List(23905696, 44981470),List(64012481, 16087584),List(35095434, 9765226),List(13690368, 29076280),List(84333056, 40796515),List(93793737, 27385136),List(55531741, 26630098),List(88606524, 44756382),List(36535682, 8840804),List(49312447, 2879551),List(85847028, 2026874),List(34257954, 66839480),List(73756875, 18272616),List(18326115, 1083952),List(29698308, 64737990),List(98606086, 41565203),List(21956444, 25020990),List(79398926, 96771683),List(38885151, 51697284),List(51643456, 94605088),List(51222637, 88296781),List(36179076, 8468190),List(63037047, 85820149),List(37238948, 78880536),List(17534594, 44091625),List(37533887, 84663742),List(36592166, 19858774),List(14399685, 78228664),List(78211517, 42655286),List(53458357, 55348837),List(968357, 11033179),List(19525695, 88319387),List(90558017, 34185504),List(18857283, 51822120),List(4254264, 29117861),List(74350417, 67048622),List(56558296, 22519982),List(1632176, 80485110),List(3282701, 47949302),List(13593650, 11307271),List(50543126, 57799777),List(34898722, 55143539),List(87478940, 27720498),List(62395454, 78880174),List(1309388, 47221677),List(78975762, 68620043),List(51153593, 65683290),List(85537540, 97969514),List(96014797, 19436335),List(2061223, 12545775),List(96918322, 54450241),List(42688718, 13684220),List(99075157, 27823615),List(75171788, 88698465),List(9308901, 86035447),List(63672618, 23902011),List(84719747, 74443770),List(90809797, 67711796),List(8097228, 78358790),List(33552978, 86136518),List(1793924, 28262377),List(79305710, 50644604),List(23210674, 21238724),List(688147, 48931991),List(99090868, 72318491),List(34725805, 38071349),List(4915963, 29280578),List(52664294, 16607453),List(69191619, 38091131),List(53263417, 41719477),List(56956144, 35930843),List(52365164, 39304634),List(78499390, 62132821),List(74561879, 31411132),List(56344273, 87464721),List(29546939, 20375479),List(31852409, 61628423),List(27107870, 49463892),List(90124637, 83937220),List(25867993, 41809791),List(1568730, 98735177),List(82120544, 13219347),List(99428168, 52831079),List(5616374, 18254654),List(93132920, 40726973),List(47912662, 88084399),List(21325067, 76716166),List(49070671, 10000620),List(98244730, 67128001),List(40355784, 88676237),List(15627678, 78439586),List(18770964, 8902166),List(9501787, 22986810),List(90674049, 4211829),List(58130318, 29411164),List(19322202, 60180009),List(19332101, 50612127),List(88891823, 67185377),List(20481289, 22719647),List(70903587, 13467625),List(14069702, 38383915),List(4120626, 45830584),List(13374984, 9836860),List(43320624, 4864177),List(28874212, 56734716),List(15737555, 3527534),List(30957965, 52198776),List(9744880, 95664075),List(77859244, 72016537),List(20878991, 31087289),List(61149616, 30425001),List(55688504, 48417038),List(77655641, 23798514),List(19861881, 33986004),List(93581236, 7771925),List(6640088, 58177867),List(81684865, 23859621),List(74480418, 83775527),List(7385649, 56162064),List(22295779, 76995450),List(62611442, 92734907),List(64448234, 30489306),List(72765304, 79716696),List(73844803, 96272379),List(47081312, 5335541),List(83650300, 47749846),List(71888697, 8495284),List(3712257, 28801831),List(83125637, 55145645),List(87513012, 44639173),List(47963270, 29925029),List(41546669, 63988642),List(54565879, 86504701),List(62338395, 26534567),List(33633295, 49042097),List(37143045, 14006651),List(54271251, 56288510),List(82635365, 90236152),List(14665089, 81694052),List(884862, 40983772),List(34977707, 46956815),List(53663303, 99434502),List(50376067, 98911168),List(59246442, 50502859),List(88496270, 36469881),List(20951834, 14617417),List(12500328, 42475685),List(42988548, 28033849),List(54229624, 78061070),List(51987596, 95569027),List(7107654, 61910232),List(8623833, 72780058),List(1497564, 19488050),List(75858128, 26038411),List(29286602, 97579663),List(43789438, 72885395),List(97729035, 13079950),List(81229085, 31316384),List(90361412, 37094265),List(31644519, 41034720),List(47750571, 58317368),List(36532060, 33551823),List(48179644, 33476265),List(93225770, 90644737),List(96598697, 10640517),List(13688265, 40605043),List(3847878, 10140350),List(25515897, 29641149),List(21908900, 83005789),List(50596183, 27427768),List(75257474, 25492626),List(47700027, 52640510),List(89417087, 745596),List(80415465, 37935556),List(77953084, 94132842),List(94156542, 20222284),List(83608641, 74518098),List(67012023, 63220815),List(93352735, 95585060),List(94501459, 79033479),List(10774627, 78875558),List(23094003, 52017036),List(3263974, 69904664),List(68769306, 51320901),List(27403490, 72379417),List(42221275, 36756734),List(57881351, 80716683),List(68363782, 13958085),List(80533201, 92090524),List(13502498, 85950483),List(59004859, 48826310),List(8459253, 45598940),List(3411209, 98568215),List(91130226, 81342753),List(72859035, 11176241),List(10680832, 87058083),List(41003169, 54650977),List(43606052, 40753310),List(15221450, 45872576),List(57537719, 97714797),List(49691093, 83981281),List(1640365, 46320757),List(59569400, 71887149),List(61148891, 74925476),List(54644649, 69724024),List(34019013, 13159611),List(93684563, 21321866),List(49715547, 14433638),List(73450644, 83528658),List(33042910, 54428376),List(70298998, 62909799),List(48745826, 52607343),List(7994489, 13934064),List(18740687, 61212085),List(53053464, 29027182),List(67538683, 26994238),List(23149434, 71176571),List(13755026, 93811632),List(87802070, 65381918),List(93311527, 80931136),List(92842995, 80550485),List(84592996, 60569593),List(20882389, 27584939),List(26133764, 87538704),List(11332408, 57087434),List(37071937, 68413350),List(74214304, 8850852),List(82838234, 89426255),List(81691812, 77762399),List(90100454, 62632002),List(27759995, 17746850),List(5302148, 96264592),List(23076284, 46311470),List(12764782, 88001142),List(16990781, 53203267),List(20285723, 92436991),List(44201342, 88345856),List(21760634, 48460924),List(50423305, 51889870),List(57082032, 59037004),List(54279251, 63178836),List(12143784, 52005804),List(20060066, 71650260),List(25282817, 91253079),List(11846733, 55589234),List(63809875, 95787345),List(35987020, 21081848),List(87239440, 65472672),List(56168212, 16244193),List(3212758, 34093490),List(33377287, 64018128),List(33620235, 71812568),List(74746061, 4998338),List(97247794, 94020460),List(87328605, 62667771),List(8039784, 92361786),List(57085166, 22982637),List(25200405, 13149127),List(46797042, 2284409),List(64051392, 60420560),List(84057754, 59350164),List(19967638, 38769623),List(67517003, 29006641),List(42277513, 76487708),List(37420981, 65962639),List(37080260, 66618003),List(39946044, 27416272),List(17001526, 94349162),List(41440212, 57666531),List(5591976, 29282230),List(6147866, 56062056),List(74307730, 9037060),List(91217111, 24709327),List(99794378, 51762532),List(13395892, 51042952),List(47468125, 73856513),List(10897232, 47827041),List(83082044, 51668022),List(72892697, 43153638),List(76519075, 83828371),List(71975216, 18521295),List(79680025, 8265519),List(35367441, 42754544),List(94513881, 80514605),List(61956204, 39029929),List(46583743, 11193881),List(10877970, 68172067),List(9990707, 70049390),List(95173245, 63470359),List(96340625, 63640054),List(87522317, 22518424),List(43593572, 22465527),List(75769787, 76544010),List(90120839, 34293792),List(69164328, 52094925),List(22450749, 70091871),List(95927064, 41578602),List(65023116, 69364144),List(87504637, 78104047),List(59925298, 10063286),List(72609721, 27439646),List(70080681, 83968613),List(26272686, 9222695),List(90713399, 93723946),List(94612358, 30993358),List(74621026, 97601837),List(96245720, 96978824),List(77491478, 26150779),List(55549568, 35298653),List(60616599, 17612290),List(79431167, 52119480),List(31258739, 11409850),List(84818765, 1273105),List(8672318, 68925830),List(23834108, 94600584),List(86234429, 37916723),List(48546603, 64962285),List(98245662, 32839907),List(89431616, 84154455),List(33384503, 75023547),List(25937728, 17134215),List(82019015, 61746966),List(84961198, 94480886),List(61455404, 6706873),List(13210935, 15446942),List(43133540, 33662695),List(39461549, 84948268),List(18653283, 22067272),List(80993543, 99033534),List(40921214, 35017782),List(40218672, 96656934),List(54427434, 81079181),List(39095363, 45079274),List(23372279, 34100426),List(35073726, 35257146),List(88738032, 69669136),List(19707871, 90547819),List(20770505, 73425633),List(13838365, 88084363),List(9417268, 4300733),List(16584505, 48825688),List(34310578, 67519969),List(21037671, 78420069),List(44670698, 62401351),List(86326603, 40694383),List(2994964, 68233116),List(77180595, 92048117),List(55582588, 55026361),List(54248964, 22668507),List(62230239, 62578434),List(15489205, 10531677),List(12498131, 60125166),List(40936838, 45147933),List(6700128, 2933651),List(35049143, 8873627),List(2256791, 85215474),List(77511196, 28128332),List(47228064, 68425678),List(42436912, 52053973),List(50898476, 26782318),List(71509001, 45974284),List(41710120, 14526984),List(65391388, 14876153),List(3625865, 17514991),List(71761560, 25801531),List(77661301, 5061575),List(74215006, 21816374),List(77146546, 38233639),List(16561049, 54327096),List(82897493, 90240547),List(14200287, 4747913),List(37738666, 82817951),List(81804074, 45270661),List(97505261, 38727999),List(6679463, 68632654),List(19188530, 24699909),List(86598832, 33478800),List(47241716, 60211487),List(7281150, 74017411),List(55219538, 51546522),List(58078627, 91606993),List(94357433, 2036345),List(23859363, 27693719),List(68919189, 95878958),List(74212895, 76205770),List(17444760, 24212339),List(51998549, 88786707),List(48580332, 21508132),List(21540791, 25260834),List(60108405, 74682304),List(81352928, 63391981),List(75842331, 42293046),List(95636263, 25253727),List(91231971, 96145342),List(84809276, 2071936),List(43707490, 48627098),List(89816260, 15034649),List(20885242, 33142443),List(68833100, 17596868),List(78477150, 52228431),List(14586204, 52667975),List(89053702, 21499423),List(56908286, 91023621),List(77982499, 59394754),List(16163221, 37454045),List(93232699, 28246752),List(97843639, 14034512),List(27181458, 57189000),List(12966323, 29762772),List(26731607, 32713159),List(88685550, 13776381),List(61953410, 61331075),List(97443075, 55815960),List(31460310, 41575101),List(56501839, 9678947),List(59597614, 16939942),List(10694080, 12366096),List(60336463, 76024747),List(25606210, 41260108),List(42171842, 57202583),List(98874199, 40036521),List(35979658, 5619012),List(68801357, 19559748),List(46517997, 20515464),List(26842053, 2915312),List(42321364, 88543983),List(87807980, 9999449),List(99617672, 45996925),List(93302444, 37521321),List(72156058, 56254757),List(42421461, 50991810),List(17415464, 48834073),List(5659423, 39148903),List(92576324, 44483685),List(90893184, 11862730),List(32326630, 37395230),List(27223889, 53475876),List(47562922, 47063383),List(92754276, 96772235),List(49125251, 16467558),List(31780402, 38316594),List(16780225, 85056373),List(20982810, 91248081),List(93640732, 35372546),List(19456139, 6136758),List(31280511, 96985597),List(30181222, 3195447),List(11129132, 47371456),List(82579126, 81493275),List(67338994, 24497285),List(58295212, 35806013),List(99653303, 30447343),List(62256724, 98656916),List(10251694, 52914611),List(57782464, 33552328),List(21819344, 40685745),List(56999006, 56658458),List(80857747, 15875116),List(15999891, 16793675),List(11855876, 2717965),List(33529702, 26783427),List(54019014, 34067078),List(11996906, 50606463),List(49474368, 51743453),List(93652708, 72558961),List(76791464, 30304652),List(65662418, 32326390),List(77186618, 56317182),List(1502627, 1960674),List(96755845, 57921494),List(12308185, 31783541),List(59891470, 96479829),List(23762400, 70417988),List(32076103, 62246401),List(63458282, 53659138),List(2155108, 15567942),List(55979588, 47873968),List(56646910, 99826325),List(47658824, 15901381),List(88421628, 55458369),List(60018601, 27623437),List(83828241, 13690512),List(38262807, 16075670),List(31390672, 55324375),List(38881632, 23274369),List(87495596, 12958709),List(62599954, 52345892),List(3336630, 14387324),List(93472936, 63389274),List(27605619, 55195613),List(95285075, 49738096),List(11416877, 96477129),List(19088928, 90106385),List(6787883, 6655505),List(69885910, 18827923),List(94384002, 41445063),List(59111565, 63869742),List(98034115, 39707617),List(24956168, 78050186),List(77512758, 30493570),List(81708681, 2613179),List(31673601, 57600108),List(97122674, 73983194),List(82317003, 13425707),List(83896720, 66611508),List(66562656, 28532906),List(29547070, 12991706),List(23078638, 3837045),List(82415823, 10029744),List(66720344, 99347487),List(13258027, 84291828),List(21917318, 14325273),List(21298056, 23905337),List(62935048, 32554479),List(29556119, 71330348),List(61695158, 68442982),List(80323213, 74871611),List(69408973, 42944121),List(47289450, 62292440),List(99308168, 68352662),List(45548122, 71562566),List(75202119, 89375016),List(71152810, 31256922),List(26210145, 88712047),List(824943, 29447252),List(97043857, 30377827),List(69406529, 90301702),List(49604889, 12630526),List(93330961, 76540720),List(85130263, 40685798),List(10130839, 14250031),List(39720965, 80385962),List(3883556, 63364251),List(58148217, 1770083),List(60447094, 40825161),List(73530063, 82416130),List(65448429, 62956267),List(57819720, 74994051),List(44381197, 45791052),List(9840968, 92404239),List(51765390, 78731862),List(13661059, 10008929),List(87711005, 45320964),List(79129648, 82485328),List(64049153, 42670282),List(85987359, 37050884),List(90199325, 59663709),List(45225858, 37329185),List(16499448, 4438725),List(82705668, 76737055),List(28703529, 10856816),List(69681340, 35251349),List(32842806, 55685260),List(21868660, 97137543),List(8515733, 50514911),List(65752055, 92602782),List(93258309, 4023737),List(60746853, 7640375),List(28805314, 33758925),List(9604360, 78521124),List(63932024, 4838822),List(23807717, 43086144),List(77797840, 77577231),List(47528365, 64424875),List(45676930, 64035644),List(78769254, 76180052),List(68599994, 34261720),List(95594416, 72526875),List(26030992, 48643493),List(49431701, 55312046),List(49857273, 2107421),List(1152663, 4000955),List(30426542, 45629801),List(68566711, 78398962),List(94606643, 93279839),List(66226633, 1157530),List(94798569, 37479407),List(87957645, 33303185),List(81008120, 4745542),List(8970209, 14346503),List(35708486, 36923300),List(17241047, 33678131),List(32256858, 75935156),List(16329804, 28397312),List(84113030, 38104764),List(98709802, 2554837),List(88588770, 27987835),List(61645855, 31586194),List(72851386, 29177108),List(10531706, 35460562),List(53107961, 27992599),List(11827970, 36270035),List(77327240, 39712783),List(58287556, 41448689),List(54109438, 56441485),List(94232791, 11707850),List(7774266, 46325825),List(31492122, 77640132),List(29603310, 50419397),List(95442442, 50457564),List(16938132, 83290238),List(62430825, 38753449),List(53080683, 93183236),List(15667128, 38231348),List(78595402, 42570075),List(1202580, 93320568),List(22466396, 12812729),List(24461105, 94185584),List(78056822, 42608924),List(79095340, 71126521),List(19382933, 60797027),List(17329760, 9156047),List(93905519, 87719586),List(33101372, 85180987),List(35130976, 73416417),List(24372223, 20961139),List(21507391, 86613340),List(45580246, 32280040),List(50734015, 64036038),List(48345814, 34459079),List(81144911, 37484489),List(8704039, 59995829),List(98481286, 97342223),List(11530533, 21112597),List(56639078, 6751874),List(94651645, 25379594),List(29750576, 61273732),List(77791605, 78667855),List(49186887, 34754664),List(8517443, 63565151),List(68315041, 97196738),List(58442487, 67872128),List(65978827, 68895861),List(25775629, 81186502),List(45316465, 67110247),List(69703486, 595616),List(73087180, 98390889),List(1553220, 24401276),List(90775813, 29541602),List(87158889, 91408398),List(67574595, 39608976),List(38273084, 60016351),List(14519757, 58912932),List(67768958, 65567746),List(11474224, 82591724),List(29641398, 64469825),List(64816001, 53187328),List(20901980, 81570027),List(27819562, 92979215),List(49405174, 14388437),List(57731194, 67902995),List(81369374, 2935660),List(4359602, 15806555),List(70154609, 97942044),List(43179462, 47093435),List(31052943, 78891874),List(98375569, 48696450),List(29381644, 81927340),List(70419324, 5063754),List(23460071, 51028246),List(73860604, 30714500),List(10526537, 91594692),List(91548451, 35932254),List(59367022, 20607633),List(67165019, 55912862),List(56023422, 53375512),List(49366340, 89413256),List(81550491, 59164637),List(90425400, 12619510),List(8811427, 69545060),List(12371356, 53912192),List(55925011, 91104129),List(85085840, 32351187),List(27834629, 69341369),List(32720040, 6449774),List(13286802, 3946033),List(768992, 23150881),List(39516923, 86074229),List(82955596, 34881743),List(93923089, 86824047),List(29552282, 81843016),List(24777424, 84560797),List(74996304, 46214747),List(24759634, 72730268),List(54511187, 61943183),List(60007525, 25855109),List(22945763, 15382677),List(40602903, 26739860),List(77344215, 67041970),List(57090662, 78426536),List(99968576, 65181814),List(39394290, 3637560),List(59330484, 6257687),List(14726622, 94254374),List(59467592, 62167910),List(60693821, 9548032),List(66199725, 55808131),List(52687588, 54980571),List(8988840, 56539906),List(86861903, 88703418),List(92257074, 64347027),List(93778189, 55680604),List(79147404, 25857968),List(78965099, 25355125),List(71725454, 13801873),List(81224976, 65160951),List(95614597, 78890613),List(18114313, 13401886),List(20433117, 11658826),List(84414080, 86614827),List(40988324, 61549956),List(76752814, 98568097),List(41079500, 25520326),List(39442362, 60410521),List(54863384, 83838191),List(4877132, 45815223),List(31801283, 20281644),List(87920509, 94522005),List(9268985, 67456970),List(23000822, 48615910),List(7535290, 15936072),List(70111712, 82836543),List(4736547, 27992776),List(33393762, 57164370),List(28716315, 56047373),List(99197161, 26081671),List(7575163, 37397556),List(38862242, 57263397),List(38339360, 78328840),List(64382789, 86630653),List(38273239, 2735302),List(5317867, 41858881),List(67675143, 43733494),List(46968772, 98706730),List(1273971, 19138094),List(48450540, 41859830),List(56527527, 25278296),List(27474611, 56992102),List(48226211, 43856601),List(56426615, 75035856),List(71724472, 98711860),List(73116266, 70502093),List(97216663, 57049243),List(38805470, 40844993),List(5417492, 64438848),List(20845199, 39694494),List(92930605, 18474874),List(28545452, 73714927),List(73453654, 16672340),List(86061230, 34062920),List(6576562, 12326061),List(61566359, 88900726),List(61955158, 85479259),List(89857576, 68724804),List(33889096, 85328356),List(65388152, 50418683),List(30633056, 66002717),List(41485648, 77622234),List(77074257, 38516429),List(42032433, 85835012),List(64070275, 10251953),List(39833635, 88884552),List(68941353, 37927248),List(13069384, 70416480),List(52530060, 41627156),List(7599617, 91292549),List(74381005, 39975769),List(16417768, 29353865),List(9816279, 6599280),List(94714905, 6969667),List(60728016, 65540558),List(69803969, 2463295),List(54110683, 64288464),List(83558626, 82060176),List(69556665, 86969167),List(4192499, 98436614),List(71183758, 57785470),List(35039990, 46180091),List(60530463, 50963300),List(54255886, 18873119),List(71905567, 82036971),List(1081001, 75689468),List(67070224, 16917164),List(54858877, 40618458),List(20302795, 95372602),List(22275598, 55621453),List(57559251, 5200432),List(97325544, 28795399),List(99841030, 29371093),List(55975917, 23334889),List(44402456, 70691748),List(86130328, 59710531),List(98112225, 46857228),List(7111190, 30573931),List(82770110, 83776763),List(7997280, 94713386),List(59441688, 64313602),List(83784672, 53612536),List(72063489, 37040829),List(99654278, 99599722),List(19348213, 7653839),List(23611698, 64470188),List(56429622, 43912538),List(88502785, 40907690),List(95588973, 84286829),List(34295400, 3265759),List(69633688, 59760823),List(84143422, 68081978),List(32884644, 8683524),List(64506230, 80683537),List(68761403, 900429),List(15070031, 43870392),List(46501482, 56933557),List(87005265, 64320594),List(94538481, 27390483),List(22954841, 94837709),List(91651308, 84232754),List(99567557, 49192667),List(24800256, 88733266),List(86065280, 24092618),List(42964891, 53807592),List(36982924, 63935049),List(1163743, 59020714),List(31500619, 61881869),List(52137261, 76638912),List(81126130, 3458331),List(61403772, 88407770),List(7212964, 9628631),List(79384204, 45443388),List(25764822, 27966976),List(99446144, 54283793),List(57038942, 39519831),List(80403121, 1677492),List(1598737, 15843696),List(67783108, 41789827),List(41857911, 85615893),List(47542395, 73008895),List(20068114, 5423255),List(15243103, 55326011),List(48485093, 3505901),List(74623368, 19637651),List(73177744, 3674883),List(68689223, 61035526),List(62478815, 14389513),List(54098901, 15747703),List(92545936, 54896865),List(3454984, 22102908),List(67024236, 28636911),List(1339922, 38542775),List(77442278, 93688739),List(34110348, 52036098),List(54251545, 24136131),List(48487319, 21611708),List(84285629, 23183136),List(87677605, 3396559),List(77077343, 33970020),List(68059401, 7894251),List(97061941, 61439987),List(42557598, 75093023),List(62375088, 87687717),List(31620955, 31570779),List(87018527, 9207571),List(13820006, 75488809),List(11121169, 86312903),List(82229212, 80674852),List(62720559, 70331321),List(50675124, 27903010),List(76895227, 81008072),List(58910002, 65588089),List(48711720, 27937511),List(46220880, 23701039),List(79658583, 83256267),List(91788776, 83474880),List(15026454, 96719185),List(98562739, 93753406),List(91250824, 79099730),List(72683883, 99085621),List(82551246, 77650162),List(8700456, 66156658),List(53380673, 62013890),List(27808172, 34382598),List(69359306, 90702295),List(17631143, 71219856),List(55885275, 50618048),List(94068590, 35468367),List(94416550, 77896196),List(40838064, 70140551),List(45613212, 73357039),List(65131803, 14419758),List(9514454, 96563273),List(17279486, 37626235),List(45801751, 80217936),List(55256978, 66093081),List(73112789, 10262565),List(52630392, 47001380),List(75616394, 30268693),List(3342528, 89450776),List(43519964, 49858410),List(69933761, 53950496),List(58600147, 88578782),List(50514718, 75012960),List(7643172, 302014),List(38356423, 88238893),List(91903544, 69291217),List(51689305, 28637411),List(64370746, 41029601),List(77052518, 72156033),List(61387008, 13501343),List(23557567, 51637127),List(28057678, 66790704),List(28237122, 78643400),List(82156348, 17254497),List(51846072, 68802391),List(8399756, 12624798),List(65090396, 40416155),List(99949807, 84256140),List(16502240, 1419925),List(50208582, 50818604),List(1961583, 93164819),List(28829756, 35590448),List(15965564, 90645593),List(56024806, 23426852),List(85603748, 42794385),List(18807456, 85011434),List(12742439, 69260258),List(98600600, 96062295),List(855019, 81059541),List(35831267, 30901362),List(99261789, 47650143),List(31058359, 22636079),List(73800088, 51904611),List(6719960, 45320646),List(9818774, 38268591),List(8278300, 15332944),List(55994653, 59319414),List(41639991, 62901786),List(25622033, 37063657),List(45618396, 88782817),List(64694369, 31992675),List(49526144, 56769836),List(54132211, 67761520),List(63020762, 89102219),List(97586797, 33521182),List(70932718, 43207302),List(38499648, 51034542),List(73234093, 80533150),List(4730147, 94736295),List(58966779, 30526792),List(50365518, 22693134),List(93564487, 81501089),List(66060018, 37251837),List(65249865, 95025809),List(84861699, 18517130),List(62907266, 7842321),List(80618378, 79580484),List(69561792, 69592873),List(4417566, 46868855),List(36801508, 95203970),List(11407214, 73867544),List(88821756, 53106075),List(61661580, 54247928),List(84166232, 13524309),List(29875997, 61627555),List(8121308, 63719690),List(41933860, 66913325),List(17804658, 39867725),List(4128287, 24448800),List(73675158, 62578667),List(20080751, 29733832),List(61800080, 48261217),List(28938227, 85126968),List(75424621, 48099780),List(70427395, 62057043),List(78500707, 91848902),List(72434164, 26186203),List(44893166, 5899444),List(89700141, 54615687),List(431722, 42918261),List(1908282, 46736806),List(29982346, 57396532),List(61781971, 48604034),List(82898384, 71934258),List(17039974, 56115722),List(10286899, 90408245),List(14345275, 5431850),List(59929729, 51489116),List(19827856, 14807424),List(54061571, 87566998),List(3027599, 20749075),List(59683354, 86867447),List(5695, 58257617),List(72815675, 5176601),List(51458141, 57811469),List(96593212, 79546853),List(81224303, 42221913),List(65027070, 53392935),List(74143255, 90702509),List(3304311, 14918089),List(67478214, 4138775),List(8655002, 49228664),List(17067488, 45402696),List(7338178, 40383230),List(29632980, 96534886),List(83114573, 920847),List(33306900, 8895473),List(43165001, 19814304),List(89160230, 49474751),List(91613481, 79899131),List(27609298, 73641112),List(37283685, 13871060),List(91592070, 94142277),List(32327553, 96328809),List(74952329, 50489),List(41387474, 50016838),List(80485317, 46363806),List(6125869, 5562859),List(67522985, 47063139),List(11389896, 34918264),List(51523240, 70174813),List(35552092, 1922603),List(72227678, 63940054),List(24478399, 58978972),List(872979, 86261851),List(11887797, 38457378),List(67890875, 45146466),List(29311800, 96164394),List(54195101, 64236170),List(69024491, 20879106),List(2825748, 98304648),List(67564442, 24872343),List(41915633, 7854193),List(12372966, 48303027),List(53470933, 16700261),List(30835166, 86821602),List(81206081, 90186003),List(82043332, 40763569),List(20210173, 13729167),List(46662353, 39389742),List(2631528, 60472066),List(87101300, 22561553),List(10067947, 36688152),List(88963734, 89504300),List(75429148, 50332184),List(17587005, 70428926),List(76351968, 28167148),List(48930257, 33979604),List(48145556, 74761759),List(4046458, 77232555),List(59301612, 73410826),List(62365246, 63514349),List(31949943, 80771251),List(70310258, 24369149),List(65236461, 66240097),List(77027690, 35870139),List(54892914, 17127875),List(45550549, 67673155),List(82931930, 57517202),List(94358018, 69269562),List(87529214, 68460336),List(20844568, 68510995),List(77696179, 52983833),List(39665984, 88417150),List(44832077, 90543269),List(44151889, 39137248),List(96023915, 46082836),List(68638968, 80560814),List(96208264, 20101002),List(46357276, 49724514),List(52778163, 25951097),List(18428773, 53178958),List(30407287, 20774111),List(26175170, 89100351),List(80822589, 44222545),List(55403927, 93446452),List(27422009, 21759771),List(43317419, 87623328),List(93989482, 10770370),List(20863325, 26371813),List(99299320, 15325886),List(25145698, 65981835),List(74364670, 60362621),List(1133598, 57340675),List(38516568, 88522955),List(87643796, 98580324),List(11912203, 66020649),List(19176432, 36129131),List(72915830, 35790131),List(73561480, 69837817),List(90791903, 28680257),List(77378267, 65441547),List(40019901, 90860449),List(49714403, 92195142),List(34209448, 9459993),List(15691872, 15971357),List(31790618, 78051535),List(74942182, 56726489),List(80428237, 1305107),List(27977202, 36377907),List(34243724, 47066547),List(22854328, 27163363),List(96163528, 39716395),List(22675841, 55273875),List(17579666, 42617521),List(41183057, 49944348),List(98967750, 88980128),List(56349250, 95745991),List(81362594, 26933666),List(12336255, 10479987),List(19142617, 84101026),List(73710694, 15494467),List(24698010, 25399457),List(1689024, 32642085),List(81834670, 25898516),List(17602807, 87812063),List(67481974, 38283781),List(77898079, 36298093),List(37964638, 71689322),List(10084416, 42015655),List(47953110, 58194486),List(9918158, 5874520),List(69263287, 77349011),List(70631041, 29228909),List(84575623, 88107286),List(95348046, 21357938),List(10449377, 51777915),List(95605495, 60112771),List(95029057, 32112786),List(46064763, 87585986),List(35483062, 3147420),List(55637399, 87725920),List(62002798, 69644887),List(8483517, 82879268),List(32998090, 44777888),List(48807073, 65564106),List(25999432, 3337022),List(32229461, 39764843),List(28141181, 84108466),List(50286920, 79530823),List(26762314, 82384601),List(19033912, 70674532),List(45486780, 76873949),List(84439966, 41466373),List(56795502, 94958742),List(79077893, 46762368),List(94099865, 84035027),List(40436260, 86501921),List(52535545, 75517700),List(32696028, 95864501),List(86290321, 92327668),List(94191843, 58005771),List(95056381, 11103570),List(5105885, 75430578),List(14051534, 97181748),List(18839673, 50913544),List(43529774, 88205717),List(13686627, 73570116),List(29133573, 87378767),List(26383304, 67099527),List(84183690, 21524582),List(36166279, 12535242),List(12857218, 88462416),List(53901377, 53971740),List(36673994, 53424765),List(67387413, 61738410),List(9222877, 96731126),List(50899501, 74813976),List(32475426, 90242071),List(56342509, 58147979),List(21424925, 81990218),List(67496654, 67010035),List(32411546, 17333661),List(97996318, 35356816),List(91491101, 67621139),List(23304852, 97700009),List(59180075, 99509809),List(47105992, 83084984),List(65628529, 83647536),List(68367551, 65599229),List(95365586, 9430331),List(81860238, 43378624),List(80735608, 56421859),List(66509028, 92672218),List(61652763, 29617169),List(6980158, 10342586),List(13952719, 62992380),List(44770964, 87420487),List(31015331, 13589402),List(84619411, 60050986),List(73539282, 96928666),List(81000412, 72210278),List(82383877, 68306113),List(21008655, 18841837),List(64446321, 24000864),List(7803901, 26126069),List(23285368, 54749633),List(59605535, 35772920),List(40409262, 19166586),List(76102756, 13263798),List(59451495, 96523118),List(47130355, 2431479),List(81681104, 11839944),List(25459329, 35440122),List(77439391, 11214183),List(91971924, 88744755),List(36328997, 94768946),List(6110504, 88594484),List(65738892, 20764995),List(84821501, 58643406),List(17597307, 40575785),List(66900816, 16260622),List(96788326, 88750119),List(75045953, 71194833),List(48988063, 84832559),List(53663955, 39523279),List(24635682, 68162075),List(84672420, 1130111),List(64426877, 98199616),List(76746597, 21319426),List(28460044, 91934897),List(50289295, 6369587),List(77676774, 91584962),List(16518258, 86805138),List(25962322, 6896492),List(51314150, 18758266),List(19090121, 92774405),List(86575273, 85715214),List(97862923, 55761715),List(86406485, 95780322),List(97261244, 50604874),List(52427184, 7551096),List(90124188, 75335787),List(61253382, 81101179),List(78272291, 56204462),List(63724156, 46484024),List(31401086, 47069467),List(48249428, 45570192),List(9827574, 14670340),List(10490553, 50749362),List(28370604, 89922114),List(23889842, 9149176),List(69785186, 42538690),List(3360572, 54841181),List(95089266, 35492893),List(59505453, 69126931),List(18582169, 670948),List(70436285, 73289750),List(82723226, 66207097),List(90705722, 46571696),List(62402001, 98727177),List(72301205, 10894304),List(3559446, 4902883),List(58627333, 41119219),List(25591203, 28284112),List(40511595, 83557153),List(76254521, 62539141),List(4333178, 74242499),List(51493443, 79128842),List(15452681, 22671521),List(80578101, 46511757),List(62442220, 27765937),List(79218302, 21277280),List(74196958, 30536833),List(56644834, 34041737),List(84345047, 87944580),List(6508252, 34590877),List(75832691, 17051251),List(34533621, 45411390),List(41999297, 7431291),List(22456322, 49413417),List(1070272, 24923878),List(67950474, 920049),List(32091359, 75345190),List(74431623, 69614591),List(85341269, 89956706),List(66311154, 24072982),List(88250105, 61553923),List(44634810, 5705846),List(74151999, 16029858),List(38404641, 63228078),List(83530303, 30693260),List(88763248, 11766413),List(7893635, 56832646),List(80498757, 44507541),List(90937430, 46655113),List(64050371, 32793453),List(16789435, 16529535),List(35399310, 24629065),List(80639538, 89738522),List(25663402, 36636547),List(88947135, 64465192),List(38911223, 15224192),List(44240337, 92102194),List(33608492, 97360768),List(9382352, 70291380),List(16162871, 51209954),List(23793843, 21119979),List(19907947, 14552331),List(30649172, 85957337),List(47477982, 52745992),List(6834930, 33806616),List(79462613, 59584584),List(12564043, 96286791),List(56233473, 32166962),List(38140778, 71302615),List(49931456, 98125863),List(76068989, 7060837),List(26579674, 85204155),List(99259593, 98889748),List(45749816, 42215196),List(59430275, 63577802),List(13977277, 60056472),List(17032558, 42372369),List(94745881, 22333838),List(54074331, 72053575),List(49772377, 44808903),List(19466647, 77380216),List(3019139, 61512385),List(7000448, 64150834),List(97632156, 43085811),List(82986187, 11794850),List(99727283, 34821127),List(21112205, 90870505),List(7267821, 4929875),List(5617117, 7263171),List(41037286, 25232727),List(77908398, 4288261),List(69530554, 13064765),List(53788821, 41358487),List(36787940, 48370224),List(7068474, 50012453),List(7721718, 11510105),List(22826056, 33269389),List(97905608, 20607913),List(51699187, 38907496),List(20679641, 27414664),List(22434020, 99172203),List(80367341, 95507189),List(78235522, 38500934),List(14707729, 19015223),List(16611626, 69270037),List(67737320, 53066285),List(8273613, 11714651),List(93441488, 10288566),List(39153789, 40424440),List(33899154, 10217100),List(43600767, 658837),List(58562398, 62038364),List(34596955, 16516511),List(63616254, 93560421),List(6192729, 84724444),List(96803139, 16778041),List(69819259, 94140322),List(1627287, 34681758),List(60503137, 22084695),List(7253875, 34414041),List(50637939, 82137934),List(38217718, 5130265),List(9287164, 76840429),List(68392480, 55829118),List(83823667, 26790835),List(471245, 27730698),List(7945240, 17834227),List(52677885, 79563146),List(76891248, 25573443),List(20161665, 27974427),List(18806843, 38544787),List(44395096, 45606055),List(2890182, 99853790),List(30711620, 28663006),List(82119314, 48239409),List(16563967, 57008388),List(11010594, 19915511),List(91801889, 74258321),List(72226407, 48189874),List(77236629, 62474625),List(60850726, 52296711),List(84464106, 94190545),List(36473172, 89588557),List(98132701, 810633),List(63916199, 56845364),List(84343533, 60996605),List(64849120, 21947479),List(64367434, 64036089),List(19580013, 87066654),List(3562624, 47638659),List(86710926, 8046376),List(39313682, 33017906),List(10744365, 66024771),List(24688749, 7158129),List(33551118, 3781832),List(5855074, 79236961),List(44941735, 65610558),List(39006423, 32056399),List(10742899, 50967913),List(56724481, 71780696),List(65859619, 4906162),List(22655557, 70376204),List(77877815, 68393283),List(23828537, 2157736),List(24736287, 98865543),List(85051559, 95989619),List(36885186, 50763833),List(68660748, 69237208),List(31245185, 1817063),List(14594441, 90569982),List(92100327, 78566051),List(20507510, 18227411),List(54487574, 14412362),List(60771516, 58590425),List(67854942, 69073358),List(44095078, 24201654),List(5199390, 41382164),List(36872609, 54930031),List(60705317, 44193836),List(82037645, 48594649),List(9542631, 74030541),List(38095165, 3830872),List(13102714, 18000879),List(38396038, 72725029),List(49308450, 78589434),List(48578768, 86091413),List(99545791, 38780211),List(31786535, 64490868),List(9265407, 77861623),List(4979302, 12482238),List(9455879, 96557527),List(34221728, 34005404),List(47690999, 99390140),List(49130581, 17705872),List(38596357, 22066174),List(53916555, 1556994),List(99839365, 19059757),List(58711193, 17273738),List(615187, 73654556),List(80981459, 91460735),List(86512987, 75283854),List(68778530, 87077702),List(80073162, 58407673),List(51964702, 77725569),List(59659048, 26290407),List(58716412, 30538564),List(79520189, 4545426),List(25607502, 48396940),List(3454923, 95030030),List(5184195, 38310227),List(70411850, 54035589),List(34769461, 37767122),List(30394969, 41905926),List(45210787, 49039293),List(27375742, 10601253),List(26857796, 35444773),List(27796846, 320521),List(50556507, 3467886),List(2842852, 853504),List(76232117, 73953351),List(5861994, 31944950),List(23316363, 88789351),List(7361041, 82477450),List(58645643, 16354960),List(43923615, 37155999),List(35712207, 27710674),List(84983340, 58726899),List(25297294, 60335865),List(65584945, 99262361),List(22347960, 68952592),List(83272233, 64789397),List(75065293, 49795759),List(88861460, 12048091),List(94983102, 72893398),List(19265917, 55409747),List(64887751, 52546598),List(2428735, 73563285),List(69551213, 53723912),List(61276149, 49229496),List(62792922, 33329246),List(40423637, 62362396),List(26389356, 98842533),List(72037993, 62288159),List(54545675, 12168863),List(25935444, 79531419),List(77976350, 77745778),List(25144460, 32860997),List(85138875, 26215618),List(36929440, 84162664),List(48929474, 13563927),List(72690305, 83541515),List(72205325, 79372429),List(39979710, 28654782),List(51119764, 28918299),List(97621957, 93660731),List(76620134, 3737579),List(99481548, 54277137),List(29160752, 25848010),List(95744067, 81418710),List(80705837, 47698821),List(36328256, 33594905),List(55902996, 66195854),List(55208297, 42062070),List(77894993, 72460935),List(24513986, 56894980),List(44306413, 96396323),List(52127559, 71002937),List(2885863, 15003243),List(42602561, 4241103),List(42451692, 4914651),List(32479726, 6931080),List(81699833, 62346279),List(89935700, 65309506),List(28104656, 13293084),List(52480688, 36611321),List(93252448, 80834464),List(87947906, 52585340),List(43520806, 12931897),List(29003826, 95344064),List(38837172, 46406010),List(81512071, 80171955),List(31473900, 98815918),List(10261886, 64924534),List(66190350, 88169142),List(34862330, 86905915),List(29032859, 34178902),List(90317639, 80737414),List(71111283, 59896950),List(14374026, 19698938),List(21603683, 33439888),List(47575322, 91577593),List(78228185, 37592513),List(19834029, 23897976),List(12542126, 50097884),List(56529267, 7100178),List(10455502, 7691635),List(46944684, 1081216),List(3024227, 24847733),List(15333410, 30792138),List(96314287, 34674162),List(66733417, 94195732),List(22433549, 38160459),List(16658523, 56260757),List(75224248, 86525535),List(23889943, 63818446),List(72967459, 40325057),List(51473024, 73024074),List(66857583, 52197402),List(38058893, 26448714),List(93107967, 66198093),List(78031306, 83706335),List(48445033, 15514416),List(72545322, 2110383),List(93132922, 54298776),List(42956808, 22148899),List(41253146, 75117847),List(64022035, 84207570),List(90152783, 54787394),List(95445364, 29092969),List(59699399, 65767026),List(99240340, 17008161),List(5815023, 71917860),List(50372325, 6185281),List(25637510, 88207750),List(88023415, 10255734),List(76216692, 34616537),List(4498200, 43853081),List(59858941, 89259896),List(51193699, 46137862),List(42423814, 7283462),List(98544379, 87023293),List(73050189, 64761507),List(15357569, 94393334),List(91181017, 23969047),List(46582494, 38854014),List(26764297, 44596159),List(98743914, 68522297),List(25548354, 45786646),List(71283300, 16255638),List(26708150, 921109),List(38272137, 8659877),List(72215794, 28263685),List(48847945, 33038155),List(75996750, 66157052),List(94564981, 68288111),List(82076759, 77171621),List(80893495, 43091988),List(97693042, 27876886),List(14549079, 88687187),List(40672585, 21869937),List(10081335, 15339567),List(72727628, 72518865),List(48575074, 91104138),List(21201430, 80192560),List(78153952, 80543478),List(60981984, 34379154),List(44991544, 47610705),List(47586537, 30125387),List(77470794, 75032221),List(22077013, 83193108),List(88967262, 45165702),List(31060750, 72500526),List(26904921, 98107961),List(49575103, 37592149),List(13070710, 13546192),List(45965618, 99357042),List(77412696, 92346642),List(42307916, 37342810),List(92578010, 18099423),List(54075624, 63592621),List(79899681, 12054275),List(25018894, 89029249),List(55814515, 67524744),List(62182886, 10974597),List(64721689, 15168231),List(6343329, 2642439),List(86813466, 33196425),List(3983763, 90069184),List(22708071, 77607920),List(61642776, 64446778),List(96615315, 67166016),List(64816291, 69500796),List(42242423, 6876269),List(56508162, 86524440),List(33239898, 57557863),List(74937377, 90546598),List(19363740, 22208762),List(56434138, 37416633),List(63086931, 17666478),List(7850090, 41202932),List(3189966, 73924238),List(92385756, 10085495),List(68547830, 381576),List(36162116, 75881459),List(97890845, 87515114),List(99393320, 51608012),List(26627274, 88901319),List(50092717, 17950563),List(13066496, 34722948),List(64355121, 20234076),List(35425307, 2531572),List(24461435, 20953803),List(35360012, 32880362),List(26757230, 95967872),List(91671471, 93601255),List(67505619, 28488093),List(17536312, 32788329),List(50370253, 55230072),List(43937569, 2508656),List(28920133, 76169798),List(5829660, 22505010),List(99546180, 62448288),List(64746822, 89137145),List(61701470, 31600277),List(96474506, 19136469),List(21804321, 22351556),List(60958927, 47078841),List(57768749, 74348944),List(19679173, 81420174),List(80959259, 38972866),List(3149610, 14624472),List(78963167, 2754466),List(5825251, 51749375),List(24063259, 33185288),List(64818250, 84053742),List(45965857, 91377815),List(10563762, 63327508),List(66843009, 16813920),List(50529532, 19740960),List(29670885, 82698685),List(12359634, 20553802),List(87489900, 4677318),List(67371062, 6471897),List(30292078, 63783982),List(4867425, 75518790),List(18404406, 61295538),List(69863499, 15716328),List(32921281, 38902065),List(13634143, 11805281),List(67324759, 75984397),List(69993604, 22459055),List(51938542, 6510802),List(64818318, 11964591),List(76338600, 83853020),List(1493361, 37436541),List(27180744, 60394374),List(1217832, 69877080),List(40741774, 73848731),List(31985680, 27970229),List(95353636, 62113729),List(44715082, 9792501),List(27062322, 18993169),List(62120494, 4650820),List(41811064, 27003376),List(15664338, 51459884),List(95901500, 78560856),List(86719238, 33092461),List(21990672, 63954290),List(1294794, 48845582),List(6406491, 71794223),List(3606528, 56026839),List(36616734, 12702230),List(74150140, 62227134),List(6721751, 52705297),List(45435108, 46578661),List(41406610, 5229306),List(84851757, 1944078),List(86480830, 27076960),List(98116781, 43209422),List(86695838, 76157819),List(51133424, 76451359),List(94330248, 54065197),List(12144672, 88935598),List(67828503, 31181607),List(23844056, 17398023),List(7151735, 73500130),List(60683171, 6302978),List(98053016, 62020216),List(98480436, 11751538),List(72575969, 90241142),List(71669573, 28988493),List(49429644, 42136828),List(21451695, 45897967),List(56805351, 67257573),List(25135489, 87697511),List(77532154, 82566115),List(55287995, 21551859),List(92449609, 27114548),List(97258416, 57029763),List(90860263, 47875214),List(53444104, 48782689),List(25705741, 51152926),List(55705177, 87668109),List(41809585, 81383511),List(31411874, 50758493),List(83036869, 53200116),List(21960308, 11206238),List(82222834, 37465763),List(4417232, 33234529),List(78914105, 51573367),List(56877246, 70129586),List(60680481, 53307390),List(180288, 23148335),List(69726487, 46136523),List(77308821, 35643638),List(50942169, 76712201),List(65151496, 52907407),List(95086128, 10053434),List(85172662, 49214913),List(13029357, 84660836),List(59105297, 93782250),List(92650422, 41902472),List(32565185, 38467958),List(18765954, 7202374),List(17830316, 25232859),List(77651615, 98442658),List(94319966, 93120304),List(8243295, 86734574),List(90986477, 81494587),List(57835382, 34632200),List(69848099, 17014047),List(26651670, 41680046),List(90526249, 77219226),List(26612087, 53541382),List(70984080, 382857),List(28815470, 32562812),List(16103912, 43815618),List(92843804, 17951875),List(43358737, 24807496),List(67694526, 7281447),List(99681353, 95283808),List(81135694, 15741364),List(62697709, 14963058),List(6032775, 46956265),List(59057953, 80718311),List(47230759, 39584433),List(23255029, 18391687),List(17531131, 97324292),List(29659323, 3243730),List(88959963, 29612901),List(64750394, 57194567),List(21707813, 23792031),List(40611111, 76889628),List(18476914, 88162105),List(34029608, 91268518),List(65301287, 54594),List(5385857, 13295199),List(12463625, 96471127),List(40478996, 25521421),List(66433685, 67913449),List(88202981, 52032462),List(6010128, 31802492),List(11942052, 6596082),List(61550662, 91836778),List(36813453, 91110005),List(22540138, 1833373),List(80276726, 50594288),List(45805174, 64946228),List(42912545, 91712160),List(86770126, 61826188),List(39945978, 48712478),List(27383152, 3376451),List(72687207, 83409608),List(38306465, 63689935),List(58865953, 69911840),List(68513042, 99170395),List(77140156, 76509182),List(32608960, 83149075),List(59556357, 46780933),List(39414900, 16363316),List(60591297, 15881752),List(35973288, 62061343),List(52589351, 74674796),List(70380070, 47158185),List(27432315, 90966160),List(88253522, 42437689),List(56128479, 18081740),List(41892146, 40698839),List(97373063, 63836004),List(88401172, 20444743),List(16552334, 62154314),List(23264810, 15304464),List(23846170, 2130161),List(95988205, 70937901),List(42186047, 96894810),List(7326330, 49048911),List(51674071, 22134840),List(19958047, 18207797),List(10998295, 79207104),List(55393805, 77805523),List(9289452, 18252110),List(1493958, 71712384),List(12919225, 56861344),List(51107941, 25640472),List(57984361, 90436645),List(19185242, 87093543),List(49226386, 27836833),List(39061175, 19935834),List(1290187, 39739155),List(23705170, 42929260),List(9286176, 19436006),List(40686991, 93985602),List(81250842, 67229182),List(97908937, 1588794),List(26152281, 3702850),List(92028470, 32635860),List(44864702, 53860936),List(16234543, 68027014),List(95250678, 5653353),List(92443651, 2701777),List(83427577, 51932345),List(40899667, 69190608),List(60811950, 51768079),List(88966960, 57730350),List(1752298, 70643382),List(72562320, 84744953),List(272378, 61622758),List(64800083, 11105555),List(28111177, 16577649),List(50250790, 13483620),List(47535931, 86151421),List(18196384, 54643188),List(88435051, 79395193),List(11978252, 33974505),List(4515605, 59246415),List(15615721, 14972255),List(31745915, 40076721),List(53636556, 86044926),List(19111326, 68147029),List(82614542, 48756489),List(51132268, 20791369),List(59355665, 14224618),List(37501619, 11626576),List(4116528, 76070557),List(28483530, 34039506),List(3907722, 32780037),List(42038281, 36161371),List(25994776, 51013996),List(38298093, 44799808),List(8901923, 53577626),List(47918752, 8228455),List(45764536, 66831034),List(45130586, 11878584),List(89873287, 7081196),List(69999853, 87607586),List(22972688, 96535392),List(85250468, 98515923),List(1539721, 30356043),List(78105117, 22078198),List(44384952, 69931197),List(697456, 11361180),List(48755004, 38604900),List(1686314, 19153464),List(67933488, 82343737),List(45926778, 65138384),List(36335299, 94031255),List(57361164, 43845976),List(77005806, 81946529),List(20341866, 2140456),List(53526088, 97037379),List(55254325, 16823021),List(91245673, 496738),List(88948114, 39136825),List(98063425, 12034135),List(7655781, 12022756),List(3728113, 35983701),List(49891602, 8983667),List(68179092, 80415516),List(90242378, 26437076),List(51031582, 658045),List(41777045, 85680896),List(23603393, 75297652),List(42598358, 86002197),List(54784649, 10505370),List(96278097, 98222297),List(1122927, 88828519),List(45104229, 81459363),List(69157812, 72897590),List(29044977, 10595356),List(3890186, 99537515),List(41829092, 7566526),List(37021556, 74193971),List(20372187, 44415117),List(48508970, 45207953),List(20203500, 10803835),List(19636899, 64483071),List(9568033, 72858465),List(5501356, 15261175),List(74849462, 41037738),List(41721948, 44622350),List(33339712, 87197193),List(98732699, 59554023),List(82043336, 13738881),List(82687374, 58297651),List(26361284, 41833724),List(39213773, 23921883),List(16267780, 32152835),List(48489606, 15660093),List(57041882, 48365179),List(55424746, 3726227),List(72662227, 62889473),List(63257382, 5927416),List(22640049, 73187086),List(69370039, 35544745),List(14114792, 73351996),List(56808598, 10048444),List(2396491, 92981848),List(64532570, 70315442),List(37532271, 66758657),List(28331081, 41219996),List(2224264, 95352777),List(39867757, 37108553),List(10226570, 14551206),List(63821171, 33060995),List(97518102, 10278466),List(83193255, 5206213),List(87422470, 97796076),List(37245345, 54541624),List(86266395, 23476510),List(91580926, 62456760),List(65953471, 63351653),List(43303184, 79160308),List(84064629, 8195053),List(36087897, 93288103),List(75050239, 83444883),List(2838585, 15038999),List(4961105, 95749106),List(89322015, 92542489),List(12863061, 70136048),List(71003671, 51840928),List(58522821, 55327353),List(2890689, 92422295),List(18935871, 69564704),List(25383295, 38032456),List(74758913, 43992922),List(97521121, 21030697),List(82215256, 77081592),List(41422818, 69485886),List(92033002, 46880585),List(54741382, 5112312),List(36784407, 33967689),List(77136166, 53252032),List(26525152, 66916756),List(17773299, 57604170),List(96740942, 44975930),List(95000261, 57797588),List(53456274, 17297970),List(25772365, 48831820),List(36547013, 56401657),List(30889767, 99363053),List(95340499, 57601630),List(6283047, 24659385),List(88341272, 78556656),List(97653077, 18206648),List(82283411, 55258792),List(88497659, 18756110),List(19281589, 5038352),List(11583596, 70386404),List(74672054, 29222439),List(9739037, 46417129),List(94846285, 71081594),List(54932502, 98313537),List(71649311, 42991142),List(71692418, 88820264),List(34160207, 64771030),List(18349909, 86171469),List(89238266, 13393988),List(65191509, 2487074),List(88054416, 80218742),List(72352236, 7573334),List(78770879, 58319736),List(74654621, 73136797),List(33346493, 87659108),List(19780166, 29002478),List(56527101, 14312893),List(12998052, 22467288),List(47980876, 76097522),List(19858619, 53562866),List(2539448, 27110525),List(33140286, 47350008),List(61682286, 39951231),List(11266628, 65029386),List(69203985, 54774553),List(28988250, 61101621),List(92899750, 36769441),List(32864670, 52221034),List(14077849, 89655474),List(87150663, 41942355),List(72466844, 42461164),List(97154539, 94598591),List(48688226, 64332983),List(71827431, 86609030),List(50277321, 62913524),List(35077868, 98540686),List(98747410, 34468558),List(55003652, 31231544),List(39377268, 8436156),List(40189907, 89340910),List(46853734, 79619599),List(64532191, 89962952),List(61628526, 41461721),List(15780525, 241855),List(43170315, 44486072),List(48877320, 86577844),List(68941091, 86142753),List(42508932, 18719179),List(18159831, 77741389),List(49479984, 93628304),List(78918325, 80890704),List(38453503, 31043695),List(59142251, 75361407),List(97525, 53812897),List(15663664, 21129821),List(20736826, 90107229),List(63150426, 9762637),List(28631337, 91042151),List(37105923, 99206513),List(91486628, 42661962),List(96464979, 18395125),List(72848013, 32740947),List(58658327, 61764927),List(38075721, 98287101),List(92339636, 48194697),List(48351272, 67469699),List(51126828, 81376208),List(33819131, 68163331),List(87239073, 6835725),List(66089315, 50028446),List(34755518, 25713386),List(1640037, 45506218),List(74211485, 72620582),List(26407712, 45950984),List(4087305, 15727811),List(96745162, 53536356),List(60009595, 97088808),List(33295164, 89817827),List(64173759, 32724778),List(21235517, 47461036),List(63725405, 10080645),List(5379911, 9267580),List(56452563, 50944461),List(65667438, 82814489),List(36494794, 72188245),List(10059895, 14829427),List(7554674, 45038275),List(57155442, 13432031),List(40795416, 49613929),List(69252705, 76675447),List(8005723, 89645975),List(89875902, 25519521),List(61043128, 70073981),List(46363785, 10935635),List(48599806, 19736750),List(43286195, 88659327),List(7285753, 38873838),List(88534557, 31991271),List(35566867, 23003568),List(85459994, 54565607),List(7994554, 2816693),List(28388161, 36659810),List(40339679, 91969203),List(51372551, 48424339),List(27716733, 19937386),List(95746681, 95316814),List(39332188, 21282496),List(97319845, 32012864),List(55957308, 83919791),List(39215273, 18952097),List(64896402, 5332615),List(15156149, 43577783),List(55942912, 61701095),List(90348170, 12538102),List(36990299, 56487273),List(94713223, 96887148),List(34952729, 4016452),List(23207627, 25281610),List(79825270, 12671154),List(89124055, 37276780),List(28382885, 71593295),List(40359216, 23858145),List(99631982, 12010048),List(17786795, 18524213),List(21836207, 32872522),List(33476203, 46837426),List(13968469, 5068513),List(5009903, 58388842),List(71465887, 10328273),List(62483220, 88578740),List(37064298, 21189228),List(38354295, 47891369),List(28387667, 72288016),List(79891549, 42552943),List(42773142, 22473788),List(58899191, 40634145),List(78231182, 17093056),List(92445977, 75002755),List(90414655, 56167158),List(51669777, 41167459),List(65417856, 79730186),List(65450989, 48448743),List(75587669, 85363682),List(78875065, 89972098),List(95989390, 23326055),List(32940915, 30609551),List(2749902, 10839975),List(24232187, 69168981),List(94129442, 84413208),List(81638860, 94347090),List(83817386, 76652290),List(24942087, 35760921),List(56687042, 75488123),List(42840942, 52015048),List(22636310, 75158610),List(46319179, 45620119),List(79216083, 27296329),List(47776080, 480058),List(48350309, 96052299),List(75492281, 24721543),List(95462063, 86793075),List(38797086, 58734765),List(63107003, 4432040),List(7743256, 14053728),List(61363360, 55549678),List(33128330, 71882607),List(63095422, 47057238),List(10777535, 44857430),List(60750002, 69420887),List(99558187, 70698566),List(87593532, 38091371),List(31907604, 32123342),List(10093053, 8964146),List(90657432, 85262355),List(62078955, 22514684),List(61671685, 16061074),List(79304311, 53211153),List(54804294, 17432649),List(40224541, 14367327),List(76817508, 54987913),List(79766401, 53832699),List(57422965, 49950873),List(31542860, 55641485),List(27147813, 2402912),List(71335370, 91374150),List(82012900, 98976811),List(35874337, 86633437),List(18628954, 45980943),List(38028378, 76045272),List(15770549, 6653983),List(28326836, 42901454),List(70690127, 738557),List(15018999, 78013467),List(49988728, 39784106),List(5257357, 51843453),List(36932790, 64919809),List(5762144, 8135842),List(10421396, 62593716),List(10704368, 11105988),List(31939258, 19986422),List(40852842, 69910696),List(33570901, 27508515),List(34036013, 35011262),List(67117737, 55984965),List(54730096, 50221921),List(11268874, 34851578),List(67435810, 32126249),List(29425345, 97257929),List(36137760, 76590641),List(26915733, 34462661),List(59617487, 87677881),List(95530993, 56602368),List(49601846, 940014),List(67091601, 31423586),List(67123046, 89752972),List(68004834, 88873780),List(66176548, 35425772),List(84998315, 68588774),List(67025565, 53745248),List(68162896, 51660367),List(3072589, 39131019),List(51577525, 89531127),List(76728718, 79441551),List(38547451, 9318386),List(38832311, 13867790),List(98688719, 27567805),List(73376168, 22027633),List(25484462, 36597801),List(63331358, 91765702),List(33606648, 95782729),List(53520083, 73109229),List(1197600, 12606691),List(87226614, 37289973),List(2645356, 65277694),List(97926690, 54948740),List(80423082, 17109904),List(74234981, 15781995),List(10430412, 90220317),List(7240910, 36718402),List(65701811, 970568),List(44997180, 92506486),List(50129986, 3071680),List(27653373, 5539781),List(88181982, 63346148),List(13855062, 85869980),List(8718285, 5256230),List(6798209, 72458214),List(63461197, 33322518),List(39684429, 78732390),List(78765981, 36983591),List(60013702, 74656115),List(37059075, 63417046),List(21288209, 6485392),List(24108160, 13411760),List(78624646, 23611099),List(38163544, 2069859),List(31634746, 25734682),List(56815577, 18903631),List(12756303, 35628865),List(11323973, 45193111),List(85019304, 68738774),List(91710058, 3451909),List(83384430, 56264409),List(54565574, 59152196),List(11221152, 88908668),List(67422270, 74722124),List(9415298, 6778333),List(59539361, 30234948),List(79886658, 75103648),List(2474029, 68785592),List(34580776, 39991940),List(84041525, 65946125),List(74257926, 36501365),List(56105179, 43815211),List(53482096, 59333081),List(39817362, 60880679),List(99563226, 34522455),List(89664242, 4437285),List(2733329, 83077637),List(96150918, 64678202),List(86300190, 10941011),List(3924647, 88515685),List(65100912, 2711769),List(45209421, 78558004),List(12388758, 52484640),List(46527920, 34768358),List(44247692, 70917294),List(36789333, 90947175),List(37121769, 16675489),List(67657856, 36791191),List(96479723, 90024787),List(78942793, 11059964),List(25716232, 65668332),List(36457796, 800561),List(43820085, 53964781),List(41450298, 69980491),List(45238327, 33074873),List(14058129, 71026851),List(36846643, 6294578),List(50265369, 23577874),List(24220314, 43837310),List(43124970, 29706869),List(36824652, 44442686),List(65973875, 89503417),List(95355227, 4483399),List(89698193, 46931772),List(48537093, 49643531),List(82291178, 3522926),List(86077557, 16506383),List(69512269, 32024942),List(14675785, 76890481),List(39916671, 79523171),List(68517840, 18656924),List(13880842, 24209295),List(97518727, 21644143),List(99286424, 82599219),List(36917506, 43572280),List(88214459, 34391742),List(33894355, 23198997),List(29628544, 10787671),List(95656002, 55466396),List(58379551, 64537436),List(78838807, 41077372),List(60749271, 54178917),List(23976984, 10089104),List(26340016, 52514296),List(67777847, 32756562),List(92854656, 2493050),List(86994537, 42294129),List(79494925, 23857568),List(48076185, 45927353),List(52201839, 58012461),List(30186376, 88269068),List(77525815, 79772640),List(43479568, 32189794),List(38789259, 10465701),List(15229473, 45027130),List(96432594, 88202153),List(73657188, 23423609),List(89409964, 84695147),List(51497634, 26919457),List(98636649, 17182311),List(81974203, 82089740),List(78001207, 95296228),List(91164978, 98603756),List(59424276, 41025155),List(46895863, 73525957),List(42411711, 19257368),List(815609, 44897298),List(57711439, 65825907),List(59210928, 27431941),List(91773347, 75749809),List(86741646, 57777053),List(52394372, 76765610),List(67882953, 73880021),List(10970159, 55260702),List(87675549, 250562),List(1117502, 90564020),List(97210429, 74507033),List(79481553, 94396039),List(87396109, 79786292),List(16597491, 78759443),List(9077342, 76194392),List(90020291, 75401430),List(88164757, 99725609),List(25856915, 3042737),List(85349191, 51496743),List(47410934, 49156116),List(55405795, 55387882),List(82324252, 89793987),List(91287805, 60603116),List(97845140, 10840928),List(45873548, 1170494),List(83647720, 14807237),List(79244673, 54882372),List(27017100, 79068067),List(81475482, 11179221),List(97363169, 60200666),List(49897112, 76692352),List(62506520, 87322712),List(40762716, 84448908),List(97918781, 55709037),List(6444603, 62304500),List(62454612, 75211023),List(93327630, 31664624),List(4575865, 36582245),List(44296746, 67124687),List(86915, 12332092),List(46026995, 20675987),List(21818322, 27353228),List(41235811, 54491010),List(1263173, 5965348),List(40745177, 33060909),List(24319382, 44502872),List(9730601, 71566654),List(980329, 41893164),List(47872927, 26522923),List(4938780, 43837390),List(23947237, 5116211),List(41957953, 89876165),List(94884816, 13133415),List(87767398, 42213262),List(65559580, 78335237),List(81270343, 15841604),List(36143056, 93351712),List(25701707, 30368818),List(6428143, 79304940),List(37103286, 29236018),List(10911119, 38414517),List(83899342, 22407648),List(93939927, 70381829),List(9428966, 549184),List(97040752, 39974435),List(6633278, 49530402),List(49904306, 24393891),List(25945132, 82041214),List(87578203, 75984340),List(74783948, 95301644),List(76800130, 3557534),List(43305546, 13355557),List(15721286, 97382118),List(16164896, 29680578),List(92657632, 99187968),List(23041021, 57288496),List(20865141, 29489674),List(29546698, 20804569),List(82215809, 96985657),List(9183365, 47781160),List(6818258, 57584096),List(59094934, 8300636),List(28749569, 29633656),List(14974382, 21924972),List(97304836, 83852256),List(80973631, 223314),List(33442582, 99740436),List(77653822, 19614652),List(20289471, 77887419),List(98495074, 46873825),List(12921769, 40290771),List(41776706, 80348953),List(89548282, 10932997),List(17885536, 57092830),List(31214963, 66738930),List(47660858, 22635017),List(13901729, 49613584),List(6708075, 5411694),List(96920383, 65570158),List(64176219, 51636027),List(20932808, 54587589),List(25306280, 45447188),List(92990852, 24691972),List(8702257, 62435577),List(91741096, 91789532),List(26173073, 18785621),List(20400070, 7771910),List(10080435, 1338568),List(90171642, 95192273),List(35849415, 51175359),List(70122873, 13099441),List(63277125, 19381381),List(13709549, 38845698),List(77127529, 83652349),List(58413045, 70243264),List(52244955, 19031660),List(8880546, 38643197),List(9413831, 43408376),List(40347541, 31309243),List(33251498, 6939188),List(34450903, 69978424),List(667478, 35711727),List(26462886, 91481027),List(20657151, 81523172),List(70823266, 99506277),List(6604423, 17219441),List(94630009, 44909890),List(5232768, 96321795),List(56047745, 88319068),List(24111495, 41387233),List(32720349, 66105893),List(33620040, 4148200),List(57186961, 99084300),List(86674653, 46983420),List(58997842, 41228633),List(90571261, 73482818),List(18742360, 32460488),List(16014715, 11161401),List(18403904, 75287046),List(68917846, 89874394),List(22128445, 31856650),List(84291470, 84505262),List(58952195, 21984207),List(21043324, 85949888),List(11905901, 82870864),List(84174971, 47704120),List(82192065, 2831133),List(26585877, 27849372),List(15396527, 59984844),List(6375041, 6341533),List(24784602, 22205010),List(69125881, 20373593),List(29661786, 76479930),List(6656319, 54057211),List(84568453, 68426648),List(75779206, 51055914),List(61111807, 25615094),List(53738959, 98555573),List(51074870, 91601648),List(77280156, 97140462),List(67944618, 69722970),List(94694441, 32968101),List(35939941, 94452737),List(82078185, 77286415),List(23693064, 87685863),List(96730863, 6792282),List(87028023, 64063647),List(71694220, 38721495),List(36177297, 97665664),List(66018055, 30614777),List(74763740, 30461803),List(84575401, 36450880),List(48975042, 77689672),List(65944949, 31042176),List(78764002, 7328607),List(69602666, 26576151),List(56412171, 36727298),List(59966549, 7467773),List(24085416, 21826525),List(48750189, 80229148),List(53988901, 38572206),List(36152173, 71237413),List(12152217, 87507985),List(4449750, 64635883),List(63884720, 51784585),List(7459242, 55195822),List(12791201, 35411142),List(45799878, 72158711),List(69264537, 46186356),List(99254415, 83036171),List(92416971, 70309795),List(39383150, 39008375),List(99365963, 7841246),List(14555036, 92995639),List(6703099, 65578158),List(95728642, 68628954),List(74700095, 2924316),List(64169592, 85888288),List(25168320, 50961123),List(44387454, 3300359),List(86408398, 45259879),List(81021570, 48349711),List(3909670, 28483399),List(72519675, 8485481),List(11437575, 81504728),List(30388331, 35492502),List(52462819, 71911418),List(77863982, 51761988),List(43025506, 70833025),List(14471190, 93757459),List(43396873, 3775337),List(79986640, 65616452),List(56837396, 5917748),List(36906298, 15158214),List(89273708, 24678573),List(43365395, 55953650),List(76254770, 97167897),List(65637746, 14993871),List(84545490, 11400687),List(96033555, 23360595),List(84822971, 44735542),List(96012368, 28854824),List(78673665, 22865632),List(15595475, 95411770),List(3798326, 31369289),List(11775668, 18410395),List(21733586, 11298544),List(81450013, 98016551),List(85163392, 72011514),List(19470022, 11897333),List(69162432, 14718714),List(25435209, 14604600),List(69262524, 56521094),List(89026946, 77545309),List(22333897, 47320996),List(11749235, 43720404),List(42358548, 71164442),List(6111827, 11884381),List(4089134, 47891179),List(9789761, 19040956),List(6514430, 40010787),List(61919169, 23787888),List(79615949, 52118206),List(77250337, 33591289),List(23493374, 16667525),List(60005408, 3584902),List(50640621, 9003166),List(26382004, 84949357),List(19980839, 58224110),List(43670344, 662308),List(43298179, 84162657),List(33873582, 67519363),List(36817385, 99985951),List(52464219, 62975977),List(51475168, 22138582),List(56278457, 87289536),List(11815977, 94719489),List(78310836, 79064219),List(36784371, 22048164),List(71424483, 39081120),List(14151329, 6072377),List(38445532, 94572450),List(46588911, 64902755),List(19369269, 51090467),List(62157392, 34085030),List(86515843, 50567852),List(69185638, 28825020),List(2554227, 13945886),List(77424192, 18909414),List(20001112, 3157008),List(27035430, 69327437),List(52468264, 88518109),List(77382941, 82494689),List(55443808, 3892620),List(67681304, 24745032),List(36572081, 83896745),List(59167687, 76005998),List(5076030, 57396197),List(69581091, 47116002),List(2134570, 90671964),List(85679860, 57079336),List(71114189, 34832245),List(50687294, 45688648),List(99818368, 59037391),List(22205303, 73648037),List(51033961, 85406412),List(41911384, 79026382),List(34684215, 63479721),List(5573862, 59341779),List(53194110, 27836066),List(76306133, 11935073),List(7564368, 39335076),List(6000356, 39073948),List(5920497, 79097695),List(9272797, 61027135),List(89654236, 61962876),List(7094546, 20186753),List(831725, 71074049),List(2226158, 41360752),List(8330836, 3274366),List(55459547, 29214023),List(10513881, 24571668),List(67090141, 24474596),List(84525702, 84592724),List(40110600, 38434039),List(76105608, 66937849),List(64337912, 64325037),List(82320900, 89689427),List(54511883, 16282489),List(96658262, 95219033),List(37095631, 24329753),List(23974358, 43721611),List(85002544, 63915539),List(67871193, 68819091),List(83469484, 39828281),List(79013493, 19447069),List(86955213, 66489997),List(75450641, 10612750),List(7591187, 84738966),List(49101761, 26162325),List(40500115, 47121664),List(53766321, 81995008),List(66690851, 98398705),List(63047264, 11745778),List(96274086, 10942410),List(91259977, 20271338),List(85935491, 41428892),List(36265035, 12112564),List(24237177, 29061797),List(61278574, 29722691),List(98322573, 18025384),List(44500957, 76042440),List(10965060, 48642582),List(53487147, 99767650),List(56800019, 47454099),List(7324205, 30090550),List(745710, 959286),List(40853561, 61239844),List(80968726, 85988366),List(42891973, 62471417),List(98868686, 24238975),List(8661122, 17285408),List(74367942, 84738766),List(30575073, 17991967),List(93412421, 80703950),List(10308053, 57158631),List(42881419, 63733416),List(10481367, 61291774),List(483124, 49649517),List(61836563, 52106387),List(44216783, 98889060),List(86706704, 27723940),List(58657216, 68961432),List(79087821, 19657751),List(78732958, 17053666),List(7547910, 40345278),List(47007723, 30198058),List(87055097, 36801913),List(78551310, 49743932),List(139259, 3437557),List(46948169, 25415206),List(7843133, 4760792),List(38996186, 93991240),List(25367881, 6056248),List(49539045, 9596325),List(83461890, 68320793),List(20530101, 39253913),List(70541166, 91273787),List(38150038, 94444605),List(2470926, 64900607),List(31422110, 19078291),List(93574541, 22867377),List(98788383, 50478837),List(30582923, 57711193),List(67570779, 84473991),List(81735759, 49624278),List(90444899, 79186061),List(14181808, 21283323),List(71079399, 79383777),List(40783520, 85788347),List(4328431, 27868010),List(56876818, 57456734),List(14036743, 39884347),List(27995211, 25012526),List(63151655, 49246685),List(62604954, 75396726),List(42108030, 3766579),List(93529535, 95864174),List(9885617, 83589163),List(36222732, 77153193),List(79982917, 96831519),List(15697714, 98598157),List(8827892, 45932508),List(40048538, 71458398),List(82308599, 54388697),List(15209598, 28986487),List(85209516, 36500112),List(65012097, 62761626),List(35014112, 9432272),List(8116367, 91889055),List(78053798, 47506229),List(99219893, 54499983),List(52816795, 43758447),List(60314712, 31526383),List(53135649, 53705881),List(37788100, 81481635),List(27313678, 61268886),List(89535264, 1931787),List(86940829, 83641388),List(50258105, 84797492),List(35474337, 63919745),List(6085855, 96000434),List(11914139, 17408498),List(43768328, 18105832),List(41022044, 12216531),List(17659928, 26616595),List(94460730, 901492),List(94157832, 20516792),List(93117136, 64863770),List(58830770, 98024789),List(70036826, 21464231),List(46223096, 4343929),List(70755832, 25837028),List(39673562, 35938948),List(19240451, 23888403),List(81648066, 2260464),List(22815820, 96973464),List(47659276, 26295257),List(50354529, 18429797),List(29800727, 98378480),List(47778846, 43920618),List(12492394, 95664091),List(8775413, 29094963),List(56298930, 95735033),List(78185166, 73032810),List(8799308, 86927284),List(8116585, 40438334),List(96714256, 42543314),List(8879461, 78229665),List(54819135, 85297406),List(74023200, 87961326),List(15028941, 73982091),List(37756796, 13942635),List(32838436, 96742799),List(36976356, 34562757),List(55735927, 38843196),List(66958574, 59192611),List(50897141, 4380548),List(63050969, 67147746),List(14850983, 28237221),List(29125498, 73791322),List(5082502, 51497305),List(45625244, 11389680),List(55151826, 90648103),List(37437158, 72197377),List(26374880, 1855018),List(26381355, 14401843),List(70481350, 36067086),List(60217736, 42442389),List(14909590, 39542242),List(2298403, 30703032),List(49366446, 34270103),List(67484963, 37313930),List(43058342, 69993484),List(94618416, 11997797),List(85406447, 21967885),List(91932225, 78243765),List(17347765, 70398524),List(78730636, 88480964),List(86279959, 44047302),List(3428547, 54925300),List(53891212, 8805374),List(53909088, 38722417),List(82289844, 79337097),List(36131545, 11029857),List(9795799, 62704672),List(77650599, 80525653),List(89780736, 61996338),List(27153194, 75771846),List(58703467, 59675844),List(12529664, 37703380),List(8955919, 493251),List(67217810, 25450401),List(49638078, 85209044),List(47980808, 56699384),List(16541667, 58406854),List(76686190, 42891930),List(53343580, 7092043),List(58332237, 12279703),List(21452372, 80569059),List(69641050, 35329310),List(74751740, 20688175),List(65516018, 35706332),List(31848616, 29568590),List(63178586, 84382150),List(47539114, 75203530),List(6116170, 91124346),List(69766303, 26213931),List(61953301, 91109490),List(96398204, 10713077),List(36426261, 65829018),List(98262215, 67959578),List(18759187, 40206320),List(58097327, 28359377),List(21813408, 73190234),List(64927630, 68505124),List(12862395, 60375279),List(50469410, 60385623),List(27067817, 90587460),List(25846430, 20081613),List(51676041, 37443813),List(10088265, 16441500),List(59833561, 96357164),List(35904395, 64798119),List(27745630, 2760398),List(84684013, 47986404),List(25890213, 70085780),List(52090128, 18032170),List(23756179, 90663119),List(71171020, 63937294),List(49518807, 95098525),List(67087102, 8982389),List(23819452, 7765885),List(69764561, 9518546),List(95432293, 42823963),List(47399885, 67842270),List(56384538, 52164887),List(62721878, 93745461),List(91759938, 36788036),List(71745058, 4408505),List(7513934, 54240427),List(52853576, 27619658),List(59230393, 64983153),List(23144431, 581939),List(27723533, 45717506),List(91403407, 82673268),List(67165372, 65914649),List(36292048, 57198709),List(86921171, 51352775),List(41605604, 78736736),List(80119450, 31921190),List(74201181, 33095447),List(43845594, 85112843),List(15796091, 95612030),List(68049968, 98528121),List(40058467, 10963351),List(32529307, 47944178),List(99852845, 90649481),List(35202048, 99333881),List(50689603, 42676740),List(98180951, 36914552),List(37222388, 51537851),List(12953260, 50078304),List(67257075, 7635785),List(69951480, 61821682),List(7994248, 20105037),List(46027875, 28290072),List(98245690, 80328152),List(11243580, 80390107),List(86676980, 38545588),List(39716688, 47806423),List(10301376, 93070876),List(96396237, 37698670),List(84580449, 3779299),List(35752041, 94135888),List(91322822, 48042465),List(15501409, 60899525),List(13910171, 39939764),List(40801342, 203109),List(60834717, 65353671),List(42632433, 6762195),List(19203899, 27272258),List(20570811, 82648040),List(83465574, 31400098),List(11206832, 90109642),List(9455450, 33401233),List(29144486, 88989902),List(35936756, 17379135),List(3606087, 98088583),List(23722896, 67636232),List(38432930, 62975316),List(80945029, 23397428),List(81949744, 43725831),List(58421554, 24153826),List(7549971, 38298808),List(67726949, 66900743),List(16807734, 98802525),List(3201989, 32738979),List(71857724, 30820240),List(52095372, 28125542),List(78020015, 97429324),List(89373723, 49048062),List(71373332, 69694666),List(26516468, 80599478),List(37043270, 26457435),List(84962004, 26057085),List(3727072, 38595766),List(36055726, 65527489),List(43310518, 90701701),List(9872303, 20531733),List(81735460, 20079038),List(96140073, 44775061),List(54849305, 57797115),List(31136723, 7878765),List(9574283, 35348494),List(55416626, 36706167),List(15746953, 67129203),List(63163791, 89910987),List(16335656, 67649685),List(70058979, 14202837),List(3680458, 50226245),List(77560646, 37777504),List(18259561, 3220805),List(74218605, 32943467),List(9213607, 28591596),List(37494161, 85590130),List(89023892, 11180177),List(97443616, 61593072),List(9377702, 9788576),List(60444329, 52019608),List(419137, 14243801),List(94876975, 45659476),List(66750272, 12898846),List(37078125, 88222454),List(15665645, 77455094),List(28274833, 4989745),List(59343170, 82816970),List(76451102, 50216178),List(97131942, 53371262),List(32501421, 72454091),List(4944984, 45318950),List(26440954, 14742705),List(44088554, 19287587),List(16700767, 20039957),List(37215429, 18035007),List(5848751, 88104864),List(12417467, 45803466),List(96075668, 41509428),List(53493910, 35280709),List(52158663, 23473058),List(92066331, 60637091),List(42820118, 6877699),List(31241872, 36768164),List(20513176, 35065574),List(92003489, 36261685),List(34571450, 65156441),List(44210533, 12469671),List(53436994, 48552281),List(34454218, 40389714),List(76567608, 14976684),List(92364081, 43506251),List(759645, 23256729),List(28791534, 28267158),List(8172857, 18714095),List(75393337, 78161933),List(66225455, 3767698),List(52277723, 54804238),List(26257917, 63480102),List(28665988, 52851589),List(67986669, 13463088),List(82684831, 77603260),List(79985681, 84043634),List(83195957, 31964984),List(68367372, 82701245),List(82833469, 42410422),List(7468996, 25573828),List(97633891, 26723536),List(23421515, 95742126),List(1525366, 41033223),List(53116853, 64694403),List(77222902, 89659035),List(17891922, 56617778),List(86275839, 11315717),List(5439429, 51815902),List(18111566, 82418251),List(20637718, 63660425),List(70283684, 62161182),List(9098208, 23464999),List(84691698, 18416970),List(39265097, 72449363),List(35747562, 85634978),List(7277341, 87217109),List(68059298, 23854916),List(96533249, 26124239),List(56917438, 5030611),List(20508774, 62189453),List(18905470, 55317563),List(20084973, 53827692),List(4672007, 61768459),List(40046891, 93017473),List(8230380, 85968922),List(91663815, 54348577),List(97588939, 91437988),List(7268894, 29333203),List(37822130, 72165607),List(86500648, 85273415),List(97201376, 53698351),List(11448461, 68853885),List(59330830, 35568586),List(460622, 24989828),List(51308608, 16350687),List(14446356, 45528794),List(81979116, 62346060),List(55208706, 39918952),List(82846107, 4244365),List(23296959, 86829572),List(48261246, 44813996),List(9382267, 63353481),List(62627520, 98243621),List(1369046, 87201616),List(95188555, 39934739),List(98913314, 3521162),List(55641080, 9399466),List(36517105, 82172270),List(8360330, 80227457),List(11044325, 42211024),List(24557184, 73549590),List(63964741, 18903146),List(75399028, 26405502),List(39287190, 75955677),List(50881053, 88122520),List(55349864, 90846940),List(55031899, 86931876),List(31669376, 86129381),List(42523108, 91259933),List(85316924, 7678551),List(48192015, 16794169),List(5057788, 36650595),List(53118935, 16702547),List(15002553, 31332326),List(4427253, 80704895),List(34089351, 67168136),List(6873410, 11614119),List(51033012, 32882187),List(76526085, 49554681),List(93591884, 55806840),List(60981087, 55512882),List(41899887, 80309728),List(49760273, 25905633),List(55896351, 61808960),List(97608976, 95703743),List(19154071, 68122751),List(26359706, 74029262),List(61653076, 72118781),List(19017140, 98381868),List(15815016, 43404922),List(59202738, 29430343),List(93349307, 49681918),List(28473218, 42771974),List(55052658, 78923384),List(21160967, 81248004),List(27646286, 55276612),List(2853729, 53314454),List(77027812, 40836575),List(65467700, 222618),List(91501859, 91593296),List(61383881, 32368057),List(67187527, 15079615),List(17042764, 7967413),List(47464808, 11673419),List(58537887, 13983114),List(44635443, 7014097),List(85104548, 6756916),List(64783094, 92908806),List(97023453, 82216369),List(27300816, 23389839),List(7540645, 72529474),List(36525129, 87771380),List(49844168, 82628681),List(53451773, 22052252),List(79591382, 49453633),List(52219485, 2613467),List(48329203, 8965634),List(78185010, 39722983),List(32420895, 69453343),List(53507606, 20344951),List(21126020, 91935069),List(87692404, 55316340),List(14133328, 35239449),List(36765618, 52296943),List(14614705, 45242646),List(96832784, 69401469),List(18393136, 43725972),List(1068631, 72541347),List(70081481, 85533134),List(8601841, 79721811),List(12578188, 55985326),List(66024149, 50552320),List(67379570, 12654035),List(46804446, 94951000),List(31554340, 33974246),List(85418898, 27972004),List(68163369, 19188434),List(3508275, 61556337),List(36417877, 84863215),List(96501532, 12058926),List(62526245, 8294356),List(56115521, 8638265),List(96446156, 48858786),List(78913717, 2838276),List(23372190, 43765819),List(12358018, 78407388),List(82407610, 8651201),List(24810640, 57675401),List(37789840, 94384062),List(13924037, 83376882),List(14935763, 81716863),List(13878369, 81130400),List(89289379, 56162537),List(35116402, 40084961),List(54216633, 90089553),List(22809220, 92576035),List(87589240, 13349624),List(31004228, 19047862),List(37523064, 39923565),List(54287465, 31625258),List(23508208, 90612201),List(62043733, 68319025),List(44983757, 32228579),List(17872082, 94628252),List(24022315, 6546435),List(4068515, 1765562),List(15329116, 24623791),List(22676735, 96598594),List(10646925, 23073654),List(54602505, 13035795),List(32301695, 86653386),List(56142328, 41019809),List(97045786, 73943549),List(82487661, 54364058),List(87018878, 42610725),List(91294671, 89375642),List(16830681, 35248951),List(10347221, 9350249),List(96920816, 37877584),List(29126217, 70008074),List(99743458, 71182536),List(33436266, 61402306),List(83359204, 40488799),List(72987496, 71453969),List(32222986, 91746488),List(79276722, 33477469),List(99265859, 18838205),List(30559470, 87362333),List(70404176, 44866164),List(92817581, 8068562),List(50518651, 10223808),List(53697395, 22252887),List(89809479, 52034038),List(14263655, 60322960),List(80899532, 296647),List(76805703, 95949955),List(96515733, 93979529),List(82979498, 54491882),List(49295023, 79617981),List(67328389, 25161153),List(49061238, 47077816),List(30156981, 14359547),List(16602657, 94337985),List(53254253, 65215332),List(18888700, 95818452),List(29019452, 84452041),List(62724830, 10771251),List(27538469, 68106225),List(70713506, 41529096),List(74900693, 44457566),List(41349791, 2033529),List(96813197, 51350812),List(5096820, 86527957),List(17866632, 18772017),List(16640285, 23739165),List(7858879, 65754361),List(83785268, 17815991),List(16837937, 37311350),List(63770258, 38194688),List(23262772, 67775370),List(71372613, 32536702),List(40001801, 39567765),List(46975466, 24860983),List(41655980, 89263320),List(64945490, 83628113),List(49100408, 98819695),List(30063372, 95464247),List(43842523, 29255090),List(25724964, 91389537),List(9020832, 25783292),List(57610350, 42380264),List(9455770, 94677877),List(30613772, 46534664),List(28342624, 15122284),List(18493688, 24776651),List(22949685, 40182698),List(57878148, 54921856),List(52666780, 46439615),List(77345287, 21612592),List(14839542, 18216684),List(40676537, 20574856),List(71238953, 59762774),List(4871236, 95567484),List(25732339, 41744345),List(52641660, 34454870),List(23737246, 74041885),List(84332123, 37851246),List(91199840, 30976384),List(12386021, 45064727),List(67473988, 49485054),List(43502641, 11774760),List(51888283, 84571814),List(45376397, 75369668),List(65851001, 94862684),List(68289455, 7339322),List(60802025, 87901569),List(92642834, 49647621),List(35556565, 28547414),List(96588798, 16513840),List(31329607, 69353535),List(81788146, 73459590),List(57450202, 49991929),List(89145087, 27340755),List(38860532, 16233298),List(5970520, 84691382),List(34661596, 35008560),List(54484931, 23977438),List(35724080, 50888124),List(18596237, 65584066),List(43490602, 75465888),List(94848835, 45436095),List(13264861, 53659655),List(89605723, 2091701),List(44103976, 86342374),List(58578752, 23443769),List(73463310, 42826071),List(16754796, 61864268),List(89831087, 66156853),List(22713992, 54599825),List(26787766, 74947818),List(55081339, 71416982),List(46023161, 12162234),List(26349717, 31169240),List(95955605, 3654341),List(16908932, 14384412),List(85252978, 20918487),List(55461905, 46511929),List(76878384, 64890056),List(44555862, 74213776),List(19717637, 57004981),List(64252268, 56516032),List(52492332, 82995781),List(22183386, 36672713),List(84266238, 86968020),List(61630988, 21560476),List(84880413, 66912221),List(44283819, 64308784),List(70699906, 11044574),List(21842249, 56126663),List(42564074, 75062144),List(81396044, 57037701),List(91284297, 83944990),List(8016233, 95017628),List(41945277, 64005852),List(94388287, 59687725),List(93539955, 32192724),List(2189661, 73044880),List(67802175, 38201909),List(95143523, 75477105),List(12988741, 70513771),List(94233450, 91677419),List(21496360, 55768331),List(83310916, 56063121),List(60919284, 26595078),List(27560313, 598633),List(88348215, 67153954),List(78475747, 9989502),List(27354224, 73941635),List(59340125, 32134834),List(93383804, 62299572),List(24494283, 6356560),List(19121390, 92511236),List(53553870, 9408282),List(11394790, 68043362),List(45074860, 11583234),List(533107, 81917707),List(57359439, 88882897),List(41691420, 27561698),List(45372069, 62147440),List(18071240, 20642247),List(62203328, 15344565),List(87578555, 2858027),List(38923470, 39167190),List(1221158, 92516657),List(5159315, 84464470),List(69030582, 74462463),List(66661168, 9540825),List(35902641, 70053118),List(54896873, 24768667),List(94606159, 31274942),List(32854583, 68190662),List(716087, 70231342),List(74976029, 83703214),List(15579928, 75631968),List(70955116, 64690810),List(67367813, 36763577),List(93307593, 49656243),List(50359815, 54773612),List(10665303, 76176646),List(15716145, 38019174),List(38921625, 95880548),List(80431959, 91177396),List(9174062, 36756696),List(511114, 36597213),List(67447269, 46407051),List(19015444, 71646550),List(65020912, 84510184),List(62874161, 8089484),List(93727228, 10180284),List(28450304, 88420473),List(79224152, 39053632),List(79156036, 5115728),List(42624915, 29492887),List(87450874, 61468923),List(92812391, 52489017),List(70583619, 21248337),List(98519287, 27675434),List(89096687, 9508368),List(37358996, 92457698),List(57657614, 88801655),List(35576171, 26109402),List(8463326, 4675781),List(22672532, 74261384),List(69259156, 34899675),List(45206215, 63204497),List(99086832, 32916249),List(58212191, 65847744),List(68894283, 78051412),List(90822343, 42664885),List(36136456, 49184451),List(2950943, 61402733),List(89668111, 47154856),List(3891731, 3684184),List(56525367, 20961200),List(28380685, 8041326),List(8571276, 70007206),List(28499571, 44534662),List(23574379, 19714475),List(23105074, 60946483),List(1390639, 29313244),List(51874406, 80287215),List(75939150, 90474315),List(25272702, 54439650),List(93325735, 13690939),List(80963675, 710979),List(81720098, 9706928),List(77104347, 7781652),List(20770105, 68221031),List(21977673, 68594199),List(60784126, 85104125),List(3793720, 12778672),List(47142663, 54480998),List(10595168, 98633152),List(96496292, 85673400),List(71032104, 98601386),List(69578974, 8837509),List(11327852, 68432640),List(98488612, 22486127),List(23801558, 69891671),List(58916421, 45610969),List(85579251, 52997240),List(45333983, 23260596),List(96612553, 48439637),List(49960311, 79612671),List(78026515, 4880362),List(96769139, 33146524),List(91673288, 34119270),List(31718638, 52618472),List(20550090, 79571102),List(86926671, 65675609),List(26042874, 51448849),List(26633148, 76821642),List(15932388, 35609951),List(87731544, 33002987),List(84999235, 88381388),List(20561895, 76625453),List(84144558, 23095790),List(46795240, 54820415),List(57425661, 21415381),List(65966361, 41683389),List(57904775, 10346269),List(43459113, 82768109),List(71581488, 74639718),List(47918377, 58574996),List(80535176, 60172344),List(54792731, 77276237),List(87927792, 47198788),List(90170337, 36978891),List(9245615, 31190337),List(31354678, 57243586),List(41663186, 56720963),List(92025883, 92067180),List(63629380, 24700283),List(26153840, 38476777),List(48504117, 88403283),List(95162303, 85284967),List(93668233, 38691281),List(69534581, 56746474),List(73256354, 87784985),List(94876163, 53908446),List(92926116, 80756891),List(87431488, 9317255),List(32122823, 34524378),List(47866088, 53805468),List(54809940, 79715695),List(27392238, 99633705),List(57318922, 59852256),List(77469178, 71604523),List(20534929, 63994819),List(30129474, 79785300),List(3519286, 61158337),List(44735321, 74727229),List(81352299, 75057858),List(71713565, 6150586),List(66013489, 45553999),List(82380753, 59603636),List(1375606, 56244727),List(2925389, 3321354),List(81473773, 75457807),List(90768987, 39353288),List(52322723, 62684616),List(86294265, 52697002),List(76737023, 94408341),List(36851461, 36247614),List(46614761, 56439033),List(73909986, 12596517),List(86731150, 64969631),List(42854484, 39395461),List(68205266, 3649725),List(68195473, 89495992),List(29787167, 99579930),List(68326346, 79546210),List(57606404, 24704309),List(54732357, 4800554),List(83530153, 41764392),List(69548568, 15936215),List(61088264, 93821072),List(3369692, 93528119),List(49853941, 23925492),List(88867919, 15529041),List(70329979, 64267337),List(17170412, 46951484),List(2921649, 46172891),List(56208254, 86388481),List(45754039, 48960414),List(24201908, 42849620),List(62174200, 75993428),List(67240233, 19329767),List(46781912, 41759884),List(92883937, 48063964),List(17964447, 38943357),List(87683583, 37240833),List(51203589, 6051149),List(5399261, 33519575),List(51517319, 67076738),List(26262816, 61191066),List(11428221, 30642557),List(14751287, 74441273),List(82690854, 95993330),List(94345187, 87875),List(31099697, 17574768),List(32264927, 57063188),List(94138961, 88787593),List(60381761, 66119522),List(91207290, 6624235),List(33804135, 49394034),List(24750010, 55528492),List(60423412, 33466922),List(10198385, 10117233),List(83839863, 83604987),List(53737684, 63459023),List(49111033, 10467106),List(14357198, 48199603),List(79698113, 95154165),List(29762981, 64320620),List(3245306, 7852865),List(55610793, 81822043),List(42952544, 14568109),List(70942829, 43233581),List(70755352, 87704824),List(57677426, 43349420),List(96933476, 43624911),List(24879937, 37826282),List(93763747, 90829961),List(14134362, 30183541),List(13113346, 43334766),List(90302082, 94050567),List(12228400, 48021065),List(55807388, 66159737),List(28588926, 28667909),List(63182412, 27779487),List(63594769, 15217328),List(93732937, 13493049),List(64702158, 4030108),List(13134923, 51556414),List(24104998, 1850018),List(26445102, 71896840),List(27715004, 32843027),List(18522927, 18603399),List(23923640, 80810782),List(76892286, 92112538),List(91095135, 60712749),List(10775896, 82397945),List(4893094, 53256515),List(29309664, 34581083),List(23209729, 32640177),List(24577862, 18149449),List(21284131, 42064950),List(56365944, 95786372),List(44807802, 74219273),List(96942739, 14431759),List(87921507, 99548956),List(34247692, 54790398),List(61110243, 86525527),List(71893026, 10534619),List(25615488, 28751994),List(83118216, 44754793),List(28244356, 86447454),List(32434164, 59611883),List(83012356, 48020237),List(46676099, 23496667),List(75852123, 92345058),List(8052619, 49379785),List(49311911, 75994840),List(31737640, 66085914),List(63114718, 28483109),List(39515790, 84290663),List(23405486, 68831668),List(37111717, 644032),List(34644780, 84187443),List(33224598, 4769803),List(36506178, 4112840),List(92956130, 93299113),List(43763261, 21115643),List(31462473, 7000529),List(48714060, 94722766),List(75333356, 75612367),List(33413700, 29744773),List(61834583, 13903647),List(52077790, 55639050),List(56447118, 23601407),List(93112871, 81808129),List(27986663, 88378352),List(98066933, 88686354),List(29469128, 63627423),List(57496668, 33025521),List(77309458, 68649403),List(6743574, 9541040),List(47818135, 34191801),List(93486320, 71443843),List(24825007, 25734163),List(38836179, 31048132),List(19417004, 9345227),List(8142298, 57067283),List(81075848, 70583973),List(38355600, 71861585),List(95717432, 51264212),List(69397271, 47198151),List(78629068, 71300491),List(13366106, 83886733),List(91658276, 57036940),List(9915890, 13065910),List(75669532, 74965764),List(84672865, 30023581),List(64047007, 73065210),List(62992206, 44703094),List(40528597, 87082750),List(10635943, 49606654),List(68655937, 7737082),List(98794456, 22094690),List(32446007, 35659489),List(73783903, 5628099),List(39060361, 9532566),List(84560521, 75446349),List(38435335, 88627571),List(69556972, 61621489),List(63673506, 29877170),List(98824321, 88671914),List(73027077, 60246243),List(36902899, 20858182),List(35508341, 86707852),List(32501680, 10072689),List(34703561, 49984492),List(34703508, 87377446),List(93879520, 89217852),List(18088454, 12228058),List(79680022, 13045004),List(267848, 45889504),List(69765247, 28710103),List(54473529, 6525804),List(13963832, 89097200),List(48395733, 92778931),List(95168865, 28787154),List(48654103, 28458808),List(73031792, 21703466),List(83618769, 63616082),List(41102518, 24401376),List(80642453, 64104008),List(53701296, 78377211),List(55577787, 11081585),List(8427634, 23289673),List(62126542, 45932350),List(54479096, 12430698),List(59049102, 34945730),List(28083201, 96025709),List(93404640, 70705674),List(47883606, 76990541),List(79124980, 47303696),List(94401160, 24037743),List(12946821, 66015276),List(70378362, 46697528),List(3359901, 30465076),List(51550498, 49347078),List(34798233, 29364097),List(34487726, 43476715),List(12821583, 56003188),List(63436527, 15459529),List(80357503, 29345368),List(5114433, 6239780),List(7359057, 54393408),List(58808162, 8722710),List(23816489, 82058266),List(30541923, 49218647),List(99561629, 31340169),List(29083888, 66515143),List(85357232, 85876011),List(61040132, 61845510),List(97215372, 1221257),List(53558339, 74456340),List(71282524, 32214997),List(57487780, 85353354),List(99736035, 87885619),List(95717506, 15212247),List(41943641, 39054013),List(36148830, 92791046),List(76023549, 95253584),List(35515490, 18694521),List(11157249, 95196186),List(49549073, 97962969),List(23804390, 53602677),List(87289118, 31422821),List(3396955, 15089625),List(51840317, 61296404),List(27169604, 8606070),List(79768637, 69083869),List(36745847, 46166024),List(15154323, 17942458),List(96069569, 33851833),List(322296, 60264937),List(79348127, 7549002),List(12398368, 86810497),List(50864070, 90137013),List(32389559, 29596257),List(44146424, 13209467),List(31868318, 97616241),List(63823570, 28663179),List(67151394, 64469067),List(21380096, 9917346),List(27618975, 66608266),List(78475292, 68810136),List(86690788, 4366455),List(3498807, 42685949),List(45454350, 5982631),List(38801485, 83673870),List(71840504, 59881717),List(1501259, 46008964),List(81103395, 76853569),List(69259558, 93140864),List(97465765, 9894440),List(91559828, 93727659),List(61540292, 14167494),List(46023844, 38323081),List(76968803, 61648954),List(89740136, 64242899),List(45571622, 88050820),List(74800723, 50472588),List(42925775, 51748755),List(99321, 45623136),List(9304390, 98522657),List(37507968, 90904590),List(25075402, 60710702),List(86163033, 37985320),List(36952246, 36826877),List(59352666, 61859567),List(54796256, 95362439),List(56565929, 8330734),List(50931904, 61285862),List(73721943, 32240171),List(14742449, 45089757),List(44774292, 97636953),List(80298468, 12584919),List(33196537, 28237862),List(31159766, 76514913),List(93935299, 2403262),List(5675321, 23946919),List(93860480, 4511488),List(13488937, 65196465),List(5195039, 50633271),List(15024511, 84782000),List(24648308, 51575658),List(28839322, 6682029),List(6005956, 44940186),List(63278901, 77921075),List(34921366, 7688709),List(14463423, 17518982),List(23704147, 45009092),List(43481624, 24788937),List(22557212, 57413257),List(54832170, 59212460),List(55023068, 49630700),List(69402117, 88067596),List(27118564, 27933248),List(65869982, 46515228),List(34888023, 26412837),List(43672440, 52548766),List(78761251, 52884839),List(3276406, 96818580),List(72326725, 75213762),List(65154360, 7901328),List(94044793, 61922300),List(96312327, 41341939),List(55103374, 65061101),List(33221977, 78239972),List(15317001, 73524293),List(18730153, 97522577),List(68046043, 87891516),List(99637170, 80574780),List(38473989, 66402544),List(32789288, 57914205),List(30233013, 84513147),List(44790472, 60740952),List(10722761, 78845213),List(59161424, 27584340),List(59286763, 19144692),List(39302551, 87742382),List(27309726, 95710825),List(4964978, 95875600),List(95822219, 85095987),List(69876493, 60637875),List(64450949, 8847586),List(20951957, 53854613),List(73765586, 34382252),List(65464402, 17834570),List(34298681, 99290315),List(39801681, 17411732),List(28397862, 85958321),List(61449465, 77904937),List(78654996, 62397251),List(71817319, 69792652),List(5640438, 69234611),List(99333210, 82829858),List(33594515, 62716396),List(92845186, 87333314),List(38220267, 92571035),List(55909895, 67445224),List(29426498, 54325109),List(61119383, 47818265),List(64355801, 92458895),List(66460305, 97509825),List(6273312, 35287754),List(50447822, 43772730),List(7067329, 3216787),List(41630302, 90239138),List(75447051, 10742582),List(52839450, 70975873),List(67799459, 23204201),List(54506048, 69136707),List(74486773, 98907944),List(28252100, 23024736),List(93466121, 89183375),List(39183302, 90358645),List(63429330, 83046411),List(85601477, 96381037),List(15425734, 49744852),List(16711776, 86779486),List(93577516, 15881104),List(96806677, 66708283),List(42999090, 36342598),List(37423946, 2344503),List(36680748, 21371764),List(47881819, 15815566),List(65763088, 67531110),List(16515629, 89973617),List(56360713, 83028381),List(21541540, 78378494),List(19141978, 40315994),List(28693024, 11857780),List(44763605, 45674963),List(7006392, 38662810),List(79597477, 12189700),List(68029601, 16754069),List(38975315, 50451574),List(79622100, 71072569),List(24053505, 54333682),List(95016474, 34076723),List(38619779, 12060974),List(61822611, 34696048),List(22285480, 41961967),List(31439597, 10230243),List(51338284, 97299562),List(77815719, 24124199),List(93208006, 50785513),List(5233195, 70991809),List(57991078, 4694056),List(30919596, 21263204),List(90723204, 55040956),List(10621512, 46169412),List(68763243, 3121859),List(4647768, 68905531),List(584181, 81624551),List(18550105, 66948089),List(90428312, 5255099),List(95972008, 18631778),List(1917683, 47915246),List(91827181, 16922292),List(33950718, 16444176),List(27517895, 88750558),List(36900889, 83454568),List(31485902, 69647183),List(55292748, 3969766),List(82058346, 29203951),List(77230343, 45583014),List(10942760, 80014613),List(15094007, 69591071),List(13426506, 18220689),List(52275518, 79663173),List(66982099, 53734161),List(9371747, 78622315),List(14654425, 90855996),List(59287056, 17291135),List(68001361, 26372551),List(31432819, 66710101),List(918508, 60174910),List(80256410, 9865314),List(65407972, 27077821),List(97088048, 75511111),List(5533619, 50230050),List(29451664, 78171820),List(20550482, 43174885),List(62406808, 44413972),List(48241288, 16174115),List(93001892, 51692385),List(98785527, 41048799),List(48836709, 53201092),List(60883917, 44213613),List(95358480, 23470170),List(44344892, 38497556),List(39928923, 11805279),List(96639076, 54528497),List(36193997, 79192403),List(57585877, 21463202),List(16127517, 15168266),List(18383776, 19232398),List(41804252, 92112005),List(77221133, 41084202),List(87492151, 35872115),List(64566191, 20695507),List(79558943, 40945648),List(73719015, 45033496),List(84615238, 59174820),List(40508610, 2421515),List(22400447, 52100298),List(28894098, 20050717),List(23225675, 50681601),List(49820476, 25321814),List(58072010, 23712589),List(76318642, 26418083),List(55893136, 8352113),List(38646444, 17367146),List(99412930, 45449852),List(98074999, 14616456),List(40356352, 6444873),List(62434320, 44189699),List(99180753, 53371850),List(88203149, 43711631),List(28835004, 31407491),List(40619281, 22082887),List(75662359, 27312443),List(91084692, 87979045),List(77530412, 61236636),List(11031424, 82766209),List(15484080, 37152186),List(52832438, 68169225),List(22991688, 9169237),List(51828494, 13601504),List(28643759, 84729759),List(91901850, 93127427),List(38339680, 54037601),List(69560639, 51468238),List(49338677, 36869373),List(71727184, 36533336),List(18472952, 68655462),List(18769783, 50228027),List(31080970, 73764814),List(75216314, 71770423),List(2526233, 71655309),List(48309096, 53478573),List(24007405, 16303554),List(30117314, 87541730),List(91104499, 2689886),List(71360695, 86040285),List(48116259, 4084820),List(68041794, 6620219),List(8639479, 64155676),List(11159619, 32429162),List(34403342, 83832028),List(15512513, 76921227),List(15274947, 99357326),List(99461729, 60700882),List(77572101, 62209616),List(67458474, 79926844),List(92665644, 19995789),List(3810065, 72733256),List(20941441, 92782624),List(87941605, 33109644),List(64261947, 92963755),List(49093554, 96896980),List(12358783, 56049599),List(2975907, 19457444),List(18160549, 19280897),List(77455750, 49965273),List(58159980, 56840525),List(3554388, 86734983),List(19319009, 71267298),List(4244750, 38427020),List(87617879, 18933795),List(87888601, 70090591),List(95022140, 51689857),List(33919989, 65887749),List(6916129, 9767091),List(7095044, 29082499),List(31390228, 67606437),List(64936208, 34518447),List(53579775, 6415395),List(6767255, 282804),List(4534787, 80994651),List(43150770, 16198884),List(43652236, 36917985),List(50179990, 18296671),List(56360421, 63155552),List(44983588, 33800400),List(69538443, 73567510),List(43243059, 5255221),List(35140537, 83203591),List(92310032, 49051882),List(7435472, 92816026),List(79376276, 31183703),List(5643629, 89911809),List(95043163, 46890752),List(25374490, 62344375),List(34382699, 57496447),List(67849350, 81302301),List(60240865, 16430537),List(98534818, 89568050),List(6294944, 20478711),List(81773518, 22697699),List(62780092, 51237300),List(2444966, 74210704),List(72060492, 66980462),List(70367402, 70038010),List(17658537, 66610915),List(68356606, 55212259),List(23278631, 8493800),List(20616463, 63636674),List(46060941, 63582636),List(29869334, 5026720),List(37856516, 76051796),List(89401597, 73406623),List(5885549, 75754978),List(29413837, 52260416),List(31319522, 4148254),List(34610786, 48340253),List(98879448, 7630908),List(76563061, 28549357),List(6574300, 67633125),List(25293363, 96332622),List(22914917, 20740413),List(61773356, 27139379),List(73679232, 45265977),List(69542392, 75319945),List(55258044, 38354182),List(31598585, 57055895),List(86179834, 37648031),List(18506458, 94201587),List(61684709, 72572407),List(63315985, 84557123),List(65152917, 86568023),List(45225509, 49989443),List(40552925, 60500994),List(27086858, 51291723),List(24637301, 55504062),List(38120213, 79971206),List(60052517, 6841095),List(34680311, 54948651),List(35462371, 76575618),List(2508934, 73000799),List(37506314, 14808392),List(15576453, 83622097),List(13353898, 62424468),List(42524153, 33973656),List(63051961, 57958964),List(49874634, 20995263),List(23860777, 90306687),List(84727547, 92841927),List(96511343, 12719381),List(68986181, 95575770),List(3061166, 54551063),List(43756643, 37325266),List(65113119, 57536441),List(53091755, 82033964),List(17440720, 15389128),List(55800953, 9987516),List(97094281, 21783113),List(87323850, 59010421),List(1096681, 41210541),List(59830437, 21065070),List(26476840, 27034489),List(86648124, 50255455),List(73672483, 37659659),List(47105094, 5455058),List(75030668, 43630707),List(31539600, 87352794),List(32552225, 91704038),List(67889622, 27223630),List(39497226, 9741040),List(78871856, 35533562),List(31818061, 77083206),List(23097466, 38859142),List(11894437, 57757459),List(41837121, 66356206),List(85731311, 74535532),List(51223399, 5189728),List(75534046, 94008633),List(43951474, 43471757),List(59998504, 74216251),List(7949607, 75839427),List(26418941, 37186778),List(16377921, 91339455),List(65225980, 95516434),List(22420124, 37706076),List(61098515, 95583012),List(55842366, 76784296),List(31321893, 66458301),List(16572309, 97745076),List(57432871, 76455433),List(11076450, 88077205),List(50826733, 71782092),List(82965290, 91321196),List(6813155, 9669555),List(78890435, 23732806),List(35703511, 86015818),List(53012246, 61475477),List(69861069, 8629455),List(76898427, 54673875),List(80071835, 17915005),List(62733964, 3750360),List(91908772, 40087000),List(87606122, 86240705),List(12178317, 81940798),List(47902211, 74609373),List(72938043, 29741979),List(6662658, 89985802),List(21840042, 82663864),List(30266281, 39253737),List(185597, 57645864),List(8227123, 81568656),List(69260752, 61168382),List(88082504, 15431686),List(71794425, 27909049),List(4247893, 37039800),List(26496683, 9127218),List(29606862, 19296360),List(60936859, 19994535),List(4501742, 39416245),List(30301131, 47391445),List(4885686, 21478174),List(73245, 34448371),List(41240265, 19314403),List(738651, 90706962),List(50053832, 17670195),List(65828153, 76717029),List(23194764, 32565476),List(4879263, 30789741),List(3160551, 69659850),List(37602235, 49003780),List(74789737, 8791872),List(22729554, 88838951),List(56736146, 2451744),List(73525115, 81008456),List(18336771, 57788133),List(33235435, 11009046),List(39422336, 52435409),List(76514863, 30941929),List(93260899, 39620665),List(10970420, 66981178),List(98554796, 5682793),List(69312068, 90451231),List(90539855, 46028481),List(93658428, 64737001),List(42982077, 93871340),List(43083404, 55601668),List(76422512, 43619270),List(19361770, 39769216),List(94824182, 94387951),List(92936851, 13626398),List(44944259, 28432595),List(2354294, 12721873),List(97485044, 92841395),List(61201205, 55711394),List(18664678, 33939713),List(96745678, 97929412),List(22967282, 20888458),List(19884466, 6112392),List(14883105, 28525385),List(23009645, 68861074),List(51010300, 31606499),List(56168169, 30906790),List(44640893, 20892083),List(5690664, 90029071),List(55397132, 32051969),List(45609256, 40215218),List(61569299, 10328323),List(2138776, 49625901),List(23066723, 66844821),List(91018433, 60452788),List(7880281, 55227463),List(8159669, 39357856),List(6834062, 90310337),List(61615672, 93160545),List(951439, 16770148),List(8100992, 64973838),List(55414278, 30735575),List(17243160, 67826670),List(75452465, 98820379),List(61050938, 26056983),List(60946946, 56701411),List(33985460, 8648014),List(10318684, 29420479),List(30348180, 54835827),List(52203367, 47492230),List(95620813, 40792201),List(1464277, 34442736),List(24700456, 41522187),List(45222981, 5291656),List(82867674, 60311231),List(22609714, 96603732),List(94542343, 33139688),List(48988668, 53079914),List(99497440, 34710839),List(83162057, 37646754),List(94371428, 62385532),List(13059680, 62804143),List(39920673, 90721132),List(73432912, 87555470),List(96951784, 50483709),List(49865180, 57814065),List(86602459, 72552596),List(2691694, 83731155),List(20119431, 91919057),List(9737592, 20479354),List(58191956, 89787666),List(48245230, 67704334),List(87354121, 88994643),List(16672288, 10509320),List(43360409, 18918915),List(13169062, 74833704),List(86739986, 49874959),List(78534481, 95800611),List(22944045, 41074520),List(51334342, 37517226),List(88565304, 4179170),List(4157087, 34317537),List(31047693, 68202693),List(58572686, 23610943),List(64321901, 47640097),List(54312504, 65982902),List(2753477, 17093642),List(1213598, 80868445),List(97741724, 90851977),List(72696663, 36555315),List(92504894, 40666542),List(10996381, 16757259),List(18511139, 7488066),List(39830003, 75465694),List(81474644, 9536286),List(37040326, 93709438),List(18886872, 68997240),List(88325542, 82397897),List(86059431, 57248039),List(46183868, 95651493),List(82530701, 84647345),List(97837834, 57082893),List(36525297, 15055631),List(42259296, 34812618),List(7995142, 55566510),List(64442969, 31503643),List(70574629, 3983151),List(30286063, 47012479),List(53719671, 11810766),List(81971678, 34583581),List(50587916, 83338924),List(43692670, 77771138),List(65454712, 78754351),List(83822057, 82028571),List(46964728, 89120238),List(15056652, 74040959),List(34682829, 21057217),List(91776893, 57481077),List(27639871, 90094324),List(5295558, 37634375),List(84274282, 38855588),List(85820671, 27825796),List(44198753, 93234217),List(19545659, 94159274),List(20233295, 92337276),List(5604005, 59233075),List(25186956, 41934419),List(2762421, 59522757),List(17317785, 2558756),List(51521010, 24155910),List(97930709, 60106123),List(22258556, 55289221),List(71284635, 44482117),List(1386468, 9724442),List(48849528, 93076495),List(41729878, 79044320),List(47351591, 77378810),List(50110043, 78099008),List(66857045, 18929397),List(14996495, 49846716),List(34580309, 93144719),List(56787945, 95660762),List(47437012, 61520266),List(67522140, 33834925),List(43398871, 76516727),List(24663436, 9337416),List(10841491, 95633391),List(6615256, 13349380),List(97902674, 68662387),List(37883786, 48073303),List(99261976, 69342112),List(46145721, 47481226),List(88041505, 4361144),List(9580772, 18798089),List(97483798, 17806772),List(53483217, 91450409),List(80494971, 88930219),List(76839436, 58193938),List(75756198, 7446251),List(13352594, 7295939),List(54316180, 32551954),List(41314337, 6744723),List(79540326, 86478174),List(28746833, 19985813),List(11131310, 23202151),List(65625520, 99234756),List(1989767, 13163759),List(12943907, 97027026),List(91966946, 91926937),List(12488188, 43354822),List(87538403, 22729310),List(24273392, 98857847),List(55909583, 98767381),List(58590349, 62425256),List(70796300, 61130059),List(63323355, 90276662),List(9504158, 89169622),List(78774705, 12256871),List(49076956, 53967883),List(29467043, 66177573),List(47504878, 21468743),List(59215861, 9543348),List(26862502, 52650626),List(63970228, 35114119),List(29162745, 66133212),List(55862899, 45230959),List(9350777, 42682885),List(56023853, 59453949),List(69512659, 89547246),List(45915202, 15458522),List(99233621, 16781899),List(74341689, 24215247),List(88975626, 2221621),List(86303752, 61410587),List(61993567, 77256414),List(36621981, 65995378),List(91263383, 30469845),List(93476194, 55897875),List(53349439, 40335307),List(54252378, 89917614),List(74382898, 17049391),List(73704259, 94083469),List(4583977, 60505735),List(57810662, 39894325),List(58449159, 88873359),List(38416574, 5947275),List(84052241, 76247786),List(77927870, 14740263),List(850882, 60124451),List(93545085, 96574921),List(17294516, 83311611),List(3625730, 92561528),List(65367134, 44359421),List(4015458, 80489267),List(65639927, 37041916),List(64959248, 90876550),List(60772445, 14178251),List(23814342, 28302351),List(22459085, 88877666),List(42047545, 59879667),List(61652216, 9691711),List(51960135, 98805596),List(13705135, 9951987),List(73391518, 25944180),List(1241976, 88316402),List(23247151, 12556002),List(48845725, 66438460),List(13306309, 32046446),List(98073421, 61320809),List(44975493, 19078798),List(24184429, 84079261),List(20231292, 13642807),List(22736991, 52238157),List(40369497, 79187212),List(88281395, 16470391),List(9425828, 489967),List(66222263, 42184962),List(1934772, 51228499),List(56282277, 86458852),List(42669713, 40221364),List(26288751, 55359908),List(75794118, 29896711),List(12084317, 4984000),List(44274556, 87813135),List(4701821, 24205445),List(11471912, 52347599),List(91609584, 68982880),List(35763110, 31268779),List(9797936, 85140168),List(49825993, 16985501),List(22115721, 58148376),List(73995766, 75217874),List(41395345, 32130317),List(89341414, 94960592),List(67558590, 6455029),List(82490959, 45413811),List(69705209, 91926341),List(31323369, 94192862),List(70179978, 69693624),List(89125100, 69048437),List(42345406, 31614917),List(95836670, 15594994),List(89585099, 82655028),List(7046557, 18344745),List(34617204, 75726306),List(93269683, 21927048),List(71770008, 85834861),List(242028, 65284479),List(56673657, 85547475),List(84993344, 31653178),List(14006048, 61684233),List(97383460, 83747573),List(5099237, 15311540),List(66317095, 93742300),List(6092638, 3970567),List(11126994, 76671178),List(48176861, 29022169),List(41973421, 15003016),List(92818798, 34551567),List(46257087, 51224000),List(1129550, 96817608),List(25900465, 2019153),List(74564634, 72793225),List(4881202, 4706355),List(86151803, 62140594),List(42079456, 3235820),List(74242511, 58798353),List(86824636, 80525892),List(67003614, 64114600),List(15120807, 81891869),List(41472406, 42895743),List(11727647, 13918097),List(4037021, 77951706),List(90299085, 75726752),List(26276485, 10949333),List(25310589, 38742422),List(54253999, 11761949),List(26039381, 83222627),List(37704521, 5688309),List(76190551, 6676046),List(28554904, 99221096),List(75941905, 5488951),List(93389554, 40530347),List(95102347, 3209333),List(41676750, 66757828),List(53654208, 32358480),List(41421187, 78408929),List(46589821, 18762054),List(26375059, 46048046),List(33538986, 4266406),List(87980397, 2209963),List(64920644, 69747597),List(57245744, 20826109),List(97000904, 16757504),List(37602235, 2261930),List(42639101, 60810506),List(76741936, 40732036),List(66476177, 32507636),List(91327975, 41999934),List(50361607, 60133863),List(16052930, 41700614),List(29196778, 10999097),List(8496681, 95117659),List(73130823, 87073223),List(55489366, 80370921),List(69550209, 69822319),List(19721700, 6212670),List(22157272, 51598038),List(30702348, 78095107),List(77038132, 91600168),List(38438791, 87153460),List(76002383, 53997937),List(48789815, 69941817),List(58198921, 31510706),List(56467749, 79791592),List(23957755, 6168597),List(23475435, 23220570),List(95676553, 89291629),List(27911459, 85793218),List(23563175, 86979960),List(10102373, 73453852),List(65797492, 7990875),List(8318085, 58198248),List(10273530, 79844375),List(24826442, 36042761),List(3481133, 84093091),List(88238295, 33459989),List(22206355, 40288240),List(91303945, 70324363),List(77473612, 74944105),List(46969085, 25455502),List(99126838, 45539984),List(71380018, 23044610),List(93436791, 55371082),List(67597397, 4967294),List(96727486, 82421523),List(91200073, 10069481),List(9307993, 12516520),List(96539585, 17964134),List(75977839, 56977173),List(13061403, 89276057),List(80441877, 1580103),List(82121615, 93580826),List(58736244, 19131368),List(19625545, 81897045),List(32278714, 49033941),List(11418635, 60304192),List(46761053, 95106091),List(23863025, 44016762),List(42705744, 91084875),List(54595945, 65227487),List(44737076, 52679935),List(98704296, 77872631),List(54378843, 48406983),List(47289845, 96148167),List(5627370, 86116675),List(26625241, 20683168),List(5201185, 65961073),List(34744245, 77873818),List(13951643, 69185997),List(64419892, 1047533),List(42294549, 67303329),List(29350872, 64002698),List(69444677, 70508616),List(66514015, 62308225),List(64972402, 19137070),List(64704647, 1013132),List(77110802, 35004462),List(91832695, 31968621),List(77172086, 15116330),List(56230129, 90694301),List(14843699, 20925221),List(91204286, 8708340),List(55705850, 78016274),List(61633726, 96094989),List(98408368, 80741502),List(21448244, 4748874),List(86598713, 60496436),List(93103801, 94053633),List(77791821, 154135),List(42617338, 29872473),List(76379501, 58883248),List(56366332, 24837656),List(89871728, 53627310),List(1701805, 78951817),List(24189160, 71899923),List(81027785, 29809562),List(29801940, 21075926),List(3517363, 75199298),List(89414326, 5165300),List(31604890, 11334931),List(21248475, 93868887),List(59308047, 69199136),List(25239131, 23865848),List(33828617, 91659516),List(64643745, 96360670),List(14076109, 25423424),List(83802110, 23757777),List(59807533, 48516598),List(5896835, 228408),List(11278623, 20470316),List(68222004, 48108026),List(92121718, 71038916),List(35989319, 21615252),List(77231558, 96274503),List(48892778, 64649504),List(88114665, 58417739),List(19840839, 90349964),List(1713210, 75939174),List(28218605, 99766646),List(83019392, 90642963),List(12810105, 59014290),List(43311248, 16916992),List(32057878, 97821458),List(42307960, 67182604),List(21983104, 34703832),List(47748074, 51169752),List(56079644, 81363959),List(32321552, 70181342),List(28594841, 86857105),List(85157508, 93229985),List(90664163, 52847834),List(7815646, 6024006),List(63336357, 33908528),List(31813404, 17602733),List(71185402, 39909929),List(39511589, 33979784),List(73029172, 67865358),List(39662786, 7615988),List(53207172, 35440058),List(91469289, 14771871),List(95893588, 74820652),List(6346418, 53907641),List(53579371, 37986019),List(14562358, 89473383),List(16755616, 7386782),List(83522075, 90043734),List(12096977, 55960259),List(12277238, 47431408),List(93236338, 47221934),List(12197751, 66033970),List(16343806, 93158495),List(6956291, 61563660),List(63385303, 11555874),List(68293717, 49694482),List(43478755, 33100392),List(92683059, 88183135),List(41684301, 63419611),List(69979175, 71740508),List(86273619, 38521465),List(6782003, 66979788),List(94501158, 46776925),List(45134379, 30229860),List(18633363, 12948379),List(6312223, 6749927),List(92273214, 62519554),List(72049038, 68629668),List(36763478, 36924717),List(71525180, 28473769),List(73500965, 97545620),List(57821170, 64979861),List(57815844, 96058018),List(38423969, 99347479),List(23803100, 2225091),List(12580050, 49472159),List(18330813, 20826676),List(48157504, 14565031),List(60164064, 2559424),List(38725623, 83717335),List(84360213, 64093803),List(68505048, 6534962),List(67534476, 52481889),List(20804051, 43833606),List(20571998, 26062349),List(8872652, 85950921),List(81491727, 11357083),List(32293778, 52492155),List(66936601, 99204850),List(88363552, 91896591),List(94135788, 13970731),List(71320057, 76615258),List(66921727, 6987260),List(40747065, 98509735),List(52589697, 8473878),List(12686254, 91756793),List(51825988, 55567394),List(88432120, 25430908),List(83791584, 94357820),List(71119285, 54258775),List(8880141, 15195057),List(26801438, 68860489),List(49961781, 85986491),List(37877924, 60052967),List(69005357, 81239662),List(43869167, 18503988),List(80167339, 41754881),List(44788598, 31733477),List(66470026, 80829336),List(50569055, 70701536),List(94921249, 52159862),List(41861662, 61158736),List(37413882, 90318117),List(3696746, 52738419),List(23594461, 66687552),List(81544445, 42005831),List(89384627, 22923500),List(67218723, 61111129),List(91422616, 16211686),List(61234958, 6830796),List(58046691, 95093841),List(7887417, 73868138),List(89622788, 14251252),List(11652282, 65009561),List(50464479, 4964420),List(95605803, 49101114),List(81429024, 76572418),List(11767300, 68428646),List(8216020, 36427621),List(76629346, 13884677),List(89122750, 60222562),List(10007583, 62860962),List(50178563, 20600095),List(8389471, 60727915),List(57689374, 57551780),List(38264727, 86435317),List(81010268, 16912986),List(18207074, 28809150),List(64647300, 94008656),List(97854141, 10305059),List(3586634, 14763308),List(24560403, 73025813),List(93284530, 92534700),List(67252113, 77370856),List(40988126, 64420037),List(11561700, 34299317),List(78759760, 96923832),List(27130551, 11118211),List(44074577, 45921516),List(73016404, 41291575),List(50494833, 71544018),List(63826500, 19046257),List(68559453, 38203544),List(55534184, 91911617),List(83853317, 74622639),List(49185773, 35264290),List(23635900, 44556883),List(74713691, 45614674),List(82062200, 18328321),List(18901166, 92934794),List(99853746, 11390146),List(43762353, 51611864),List(28039989, 16772464),List(15071091, 7300847),List(7326244, 24098703),List(21968540, 57519194),List(95922560, 61976525),List(90224825, 73307850),List(99376248, 60219962),List(9721054, 68665098),List(96267378, 48465489),List(66399023, 28058411),List(59518425, 59419650),List(82879509, 52651175),List(29534697, 96759534),List(48795456, 50578530),List(99265309, 97398355),List(74010254, 26707130),List(32948334, 93473538),List(39462057, 31306758),List(69580568, 61136399),List(96495682, 74574835),List(39659992, 27724586),List(90654929, 1545356),List(13148702, 71580499),List(70948570, 62991191),List(28999164, 61416932),List(27878921, 82199349),List(41042952, 53385847),List(93286947, 10972917),List(16786133, 57103357),List(69783862, 75240715),List(32082433, 51216374),List(8462195, 44442261),List(37637508, 37201380),List(44444675, 4246936),List(51126018, 99218911),List(43912213, 56572927),List(88250391, 97137275),List(18802079, 38933939),List(98786615, 82411628),List(96062433, 46022213),List(44830245, 74698021),List(74224552, 28490667),List(34017157, 75385978),List(84012968, 17277094),List(59919023, 79277418),List(79018665, 89269442),List(8240672, 16949330),List(11702165, 45120921),List(52287756, 72976529),List(91631854, 77669690),List(76926666, 34247674),List(15372688, 93495683),List(42049955, 63425881),List(66729040, 98993269),List(36610212, 3896989),List(36436388, 63807657),List(33246485, 50252096),List(69950145, 79499589),List(73316687, 19943387),List(39791615, 92881928),List(41251836, 51468372),List(45228499, 21387508),List(18248238, 79727838),List(5314404, 30659630),List(81456154, 92282916),List(67236204, 97340910),List(47834808, 82844428),List(87825623, 29572657),List(36178660, 91064868),List(74510629, 39871835),List(69145469, 23285113),List(34380820, 80007488),List(12410685, 11208408),List(53180533, 49924702),List(86240872, 12106259),List(75130739, 92522661),List(8388802, 77149033),List(17011267, 32809158),List(40434588, 4727269),List(30975086, 69327748),List(51641520, 70574406),List(17591295, 39256675),List(88925829, 6206320),List(58223153, 84524088),List(50647718, 50567510),List(7640918, 84917819),List(24248857, 21586664),List(25265116, 34110245),List(40357546, 267267),List(6500347, 58005811),List(81025832, 57222358),List(58640270, 22793340),List(9230964, 87891153),List(19260727, 18726532),List(9638683, 15720204),List(34152955, 60614097),List(29784957, 11950778),List(26760124, 23945753),List(58547480, 70346821),List(59262557, 83615122),List(45841437, 75333441),List(32935377, 44798957),List(41872250, 39533696),List(50026975, 50926242),List(32223211, 17896143),List(37432068, 35684701),List(46119886, 97632663),List(75703681, 56665456),List(91440215, 20284834),List(89014981, 4989470),List(39440874, 48881616),List(51672641, 21726766),List(48158170, 7186910),List(82734376, 7195382),List(63276029, 51500863),List(50764294, 30484932),List(54635180, 91729733),List(87375721, 79846395),List(73969037, 46798623),List(14668233, 20505524),List(43937101, 2970121),List(92818982, 64793942),List(98670329, 98181999),List(4756105, 74122455),List(23664279, 68382278),List(38214334, 39428431),List(26289481, 31702324),List(82094878, 59022957),List(52305130, 66458640),List(80319924, 45379807),List(59094149, 4496852),List(40418651, 19289114),List(80170100, 88957442),List(37674885, 30355972),List(76784433, 3100839),List(18186084, 10428813),List(8346616, 84450548),List(39291425, 27885560),List(86911892, 17309443),List(90732051, 8380633),List(52543517, 51702531),List(91712372, 82065041),List(19031733, 89477829),List(64416329, 64330184),List(57468868, 8896697),List(18641957, 12924379),List(72742894, 13452299),List(10829630, 60917078),List(51451313, 32167575),List(3873837, 87693950),List(43636176, 96035338),List(28063008, 74051597),List(68138894, 23440993),List(34229886, 20545587),List(37139562, 47963810),List(60955791, 80418008),List(66408192, 23131694),List(68678414, 12857933),List(99775135, 74767477),List(39869756, 5511845),List(7720890, 46792945),List(96920037, 92010744),List(19360161, 17201047),List(39274247, 73071348),List(2380896, 20141841),List(35062446, 85288272),List(25455744, 1351541),List(9835847, 37878058),List(3567760, 19975564),List(41669641, 45544974),List(25452580, 4800395),List(36632390, 83658686),List(99686748, 77189676),List(3658011, 15688325),List(38766278, 38541391),List(33132489, 81525533),List(90630164, 61000930),List(94691157, 56191),List(98272512, 94386281),List(43593983, 6881528),List(50526960, 35700100),List(65598008, 58352638),List(34636649, 9713874),List(504195, 22361088),List(63437561, 16663421),List(36070322, 28422763),List(33613080, 96443326),List(21993237, 19542157),List(80208699, 61005877),List(69315270, 16805976),List(44406993, 97983860),List(25478603, 70728036),List(85856602, 71409504),List(22867095, 37232826),List(5867557, 12088780),List(78501691, 3480558),List(71708791, 82190176),List(8051001, 22336949),List(59522864, 40909457),List(49252010, 10037899),List(92233839, 84125757),List(8999814, 95227719),List(29432715, 28187384),List(46297514, 36291074),List(79342155, 81111768),List(16054389, 4286007),List(28847556, 57654397),List(12464730, 13039908),List(18216432, 99135837),List(57454516, 94073243),List(26852125, 11946578),List(51665819, 198703),List(33213169, 18828008),List(78555081, 85317831),List(72771341, 41808174),List(41736577, 40765621),List(30088436, 2906058),List(91331143, 73054302),List(79656394, 91910883),List(76253697, 4647530),List(93129050, 34131032),List(28693913, 30408226),List(75112585, 87933821),List(56423926, 55936993),List(7722148, 76200831),List(29820967, 40998392),List(43761771, 64456481),List(41821966, 4970696),List(91511793, 48169955),List(27544836, 50842482),List(67563769, 22399509),List(2410466, 4700723),List(97427782, 92163230),List(4206024, 90127800),List(3943016, 16996615),List(66677448, 29347789),List(25846243, 75054204),List(61085783, 5214869),List(42799506, 78301698),List(87338369, 26369515),List(93844575, 19400655),List(55412214, 30099494),List(29320274, 84711793),List(89854264, 66894703),List(29095984, 46318989),List(10467218, 59671984),List(37104732, 68723054),List(57388155, 34785969),List(86975538, 42522490),List(8504817, 65114353),List(83716253, 80633444),List(47854300, 87619502),List(3980972, 83803411),List(39817254, 8382000),List(11837818, 88615877),List(29574226, 89209148),List(87957218, 43942282),List(17435360, 64688270),List(95721396, 65054149),List(34214191, 27805776),List(65910048, 37374367),List(1757345, 77341046),List(44070571, 10832229),List(59866843, 89038795),List(46278332, 90729968),List(20124464, 64898952),List(67210177, 78429310),List(666949, 48193740),List(68933549, 83438881),List(16369456, 82817844),List(55443361, 47726697),List(90151934, 88692201),List(30047444, 86176106),List(36071702, 62485956),List(40107671, 74119652),List(63853213, 56363989),List(15743444, 86951630),List(5024360, 59309781),List(92821683, 70317293),List(99248183, 30384556),List(35238616, 39547912),List(1097175, 7265747),List(9182244, 41547147),List(90245671, 54435997),List(66519148, 54344016),List(5476356, 36851950),List(47749522, 42861494),List(8338178, 14257637),List(59342843, 76632616),List(27915226, 17096532),List(71815913, 65804436),List(23879847, 51314472),List(18734058, 36305125),List(29419287, 31908932),List(3982087, 48094004),List(79231699, 26794744),List(26084686, 33714737),List(54050331, 85287659),List(93273041, 65288953),List(20474563, 8211588),List(68178721, 3033524),List(43232331, 29277310),List(40157663, 18397085),List(34034225, 68858673),List(37856266, 81906670),List(21990225, 46063529),List(89150084, 2767263),List(47498126, 94429876),List(31145170, 20636519),List(74598982, 30963887),List(21257236, 24955398),List(23652199, 75490344),List(37850040, 31143201),List(29086837, 42609671),List(5216529, 15408103),List(11417090, 98249895),List(98640809, 44208938),List(71022117, 46878780),List(3866952, 41319797),List(97317820, 26653982),List(97421419, 97353817),List(4211517, 9473756),List(73591871, 61249139),List(17801472, 79894285),List(10227611, 504851),List(86105888, 41067884),List(16328508, 8723692),List(44077766, 70841093),List(26546493, 21059285),List(77106299, 47763565),List(45850971, 97354486),List(89958937, 40960430),List(50744235, 9742914),List(10055462, 98415162),List(53026144, 85642178),List(25407397, 3614114),List(745189, 5618154),List(26287171, 15774000),List(25407922, 92918794),List(89367692, 12110733),List(93392812, 83514662),List(44473008, 63210141),List(72185704, 18526524),List(43101672, 19567794),List(273633, 84744105),List(21800166, 8823130),List(10940466, 15476109),List(19246813, 25369446),List(92422565, 78164658),List(23676842, 9856740),List(58875728, 76935882),List(46668487, 59025674),List(92895595, 72473759),List(53063783, 62408301),List(40198340, 89173141),List(44016667, 25678918),List(33770050, 75194313),List(27371009, 1416925),List(29433005, 67803693),List(11727175, 44511166),List(40084470, 35838853),List(7031513, 99162228),List(93261605, 28117768),List(99613527, 99450278),List(28881382, 91403118),List(55657191, 19049654),List(53509519, 40826555),List(27163691, 88081699),List(28127558, 15334224),List(17873319, 62866058),List(25693074, 91276297),List(36527138, 92590336),List(50711678, 19414483),List(58599740, 42503444),List(16817901, 17783367),List(6792448, 36606779),List(26653625, 24677383),List(16141875, 48244435),List(14882076, 80154957),List(27999919, 77306454),List(19261439, 16799704),List(56716411, 35043068),List(15377736, 68561047),List(23887664, 36994556),List(58762477, 63767198),List(54757376, 99980761),List(39364735, 8221941),List(12762942, 15339825),List(33681313, 37191128),List(12182673, 95148966),List(17984817, 6560286),List(89086981, 654520),List(88662257, 6571806),List(21592823, 53312101),List(40459374, 92999680),List(35774516, 43902262),List(66344151, 11772184),List(69130696, 68521896),List(71990758, 62078298),List(35070611, 67369189),List(75450329, 57500233),List(77380484, 48769283),List(64030214, 52636399),List(2162228, 4440349),List(88510719, 33903652),List(14878827, 21433794),List(61419668, 91439304),List(91943965, 37406768),List(84971027, 27650279),List(69528503, 62789623),List(72563668, 49526391),List(45766789, 73146102),List(26688289, 53279250),List(92909989, 73130337),List(2831995, 80980031),List(28959601, 74065896),List(1628302, 89548702),List(884151, 77868326),List(6048534, 16582645),List(55739606, 91488969),List(13112613, 38271782),List(13815763, 21588357),List(13310145, 88010531),List(22408183, 77613763),List(53621835, 33726463),List(83708924, 8010701),List(70745602, 7407089),List(27998737, 55068653),List(7277530, 3580100),List(82051044, 40931125),List(44618905, 92877680),List(58926613, 3088926),List(19729848, 53424629),List(41217708, 16211664),List(96564128, 22451220),List(74123765, 64613123),List(88396543, 30589833),List(36313387, 41811755),List(97463017, 42534194),List(37724595, 77266269),List(88669305, 46127924),List(15324689, 17365544),List(30948442, 1434660),List(86863521, 20001915),List(86975170, 89531935),List(14935654, 82482775),List(33976965, 44970034),List(40215416, 30282674),List(98361811, 3092382),List(82468217, 38916964),List(13382818, 23424829),List(68228009, 24027786),List(72256928, 11876569),List(18610184, 63720985),List(88769676, 6119674),List(5013538, 95693015),List(12908544, 36672782),List(76132249, 66425619),List(91242439, 84334862),List(15771194, 48840861),List(30688004, 40225871),List(48459009, 77057072),List(58751927, 29176480),List(56538063, 64310559),List(15128784, 20851173),List(20203355, 57762704),List(13922043, 68447813),List(80778946, 54498967),List(22437918, 67898548),List(88990947, 95546918),List(4715122, 26733336),List(27803111, 4818550),List(21093303, 22118904),List(90794829, 36267388),List(65928102, 44789941),List(55150983, 58109520),List(74541255, 16300291),List(85126800, 93509597),List(21969350, 33076805),List(44021641, 13980472),List(15003188, 15811624),List(28608281, 33531693),List(6411510, 95842187),List(99562663, 55595568),List(76325694, 75390809),List(61026865, 14633481),List(97607097, 375945),List(27485918, 39769219),List(14906909, 98492551),List(92964229, 10775521),List(60652632, 3043180),List(48155955, 72838636),List(87043596, 10097509),List(20754184, 6684749),List(34536173, 11793894),List(11007466, 53809649),List(13155577, 47804256),List(83175030, 8581142),List(90620439, 524218),List(87035694, 35880845),List(50776514, 24369944),List(11353545, 72422153),List(34140016, 50555603),List(30294505, 74650779),List(84068818, 19122466),List(65294955, 40855995),List(26062445, 39145457),List(14376940, 52773184),List(76492016, 30920183),List(21859701, 45283937),List(83502153, 70612917),List(2246721, 21760780),List(48846585, 87709620),List(32309658, 19241733),List(73620184, 23983554),List(40171957, 10397289),List(35634169, 33421840),List(45249024, 92365654),List(88931373, 22103661),List(76082209, 58082322),List(10172984, 27456290),List(69921426, 2786813),List(29179986, 14898788),List(9087225, 75986598),List(56114365, 35230615),List(95628626, 45293176),List(6145001, 96680790),List(51604976, 29961040),List(48390423, 61831655),List(27353792, 92169688),List(41348496, 43571113),List(13696712, 29985151),List(10853414, 63721620),List(35750524, 25803723),List(9940137, 9538472),List(41100707, 74659863),List(14399116, 97906608),List(96645490, 71846116),List(55444133, 46720918),List(50841165, 46991150),List(93380028, 30941769),List(26390510, 20038272),List(48384821, 72294863),List(43897490, 61809983),List(99620796, 38392312),List(76215290, 90116852),List(86193861, 52536142),List(2746986, 69712276),List(53681362, 91096682),List(11293106, 43018041),List(21228527, 22321613),List(39665425, 77303788),List(74033688, 38872256),List(89977745, 28020716),List(90814140, 57740572),List(52698844, 49744937),List(45052477, 54660974),List(46952891, 27708140),List(67077295, 45670855),List(82561770, 29866022),List(48714711, 33778171),List(7055663, 68641691),List(4734852, 30603644),List(38855697, 15224744),List(80141525, 32513938),List(74323486, 88181753),List(92963940, 98278550),List(86311921, 73245010),List(46404214, 59520077),List(84158217, 41754657),List(38502678, 84903404),List(13801095, 42600532),List(95285472, 11382055),List(95475915, 79993078),List(80395855, 45644474),List(86356803, 19697060),List(77568691, 8352850),List(31413300, 42989021),List(72359936, 5729614),List(4539808, 85179797),List(5579967, 69248191),List(73485070, 37289744),List(5782875, 89860366),List(73120198, 64931844),List(60420635, 68372491),List(79106770, 48702053),List(74209884, 36089139),List(81668321, 69477849),List(39155578, 4566516),List(19012812, 36065108),List(90382468, 74895532),List(51089067, 6002268),List(53054834, 19888628),List(83454674, 13365876),List(85197804, 28842472),List(52698152, 54916550),List(50536372, 89350274),List(22319126, 3017673),List(69550795, 29023092),List(57592233, 47136007),List(99516450, 63812350),List(73842580, 26201153),List(46340379, 6299058),List(46254977, 98340370),List(71092738, 95465761),List(79741017, 78650986),List(19153358, 85448706),List(1252110, 86267247),List(32303942, 10285740),List(41571621, 96295007),List(87777523, 14181437),List(18171418, 98403535),List(26822418, 31847701),List(87846522, 87222580),List(71896737, 75988582),List(4590800, 20801440),List(81234689, 72919846),List(79499373, 60160536),List(79150016, 75040699),List(11260116, 38331630),List(61924045, 89233447),List(61925439, 69801573),List(46164179, 43783918),List(16575126, 54830984),List(73923043, 81977605),List(71567356, 85853649),List(28625388, 12610326),List(65585838, 58356823),List(35115179, 20071066),List(4850689, 38442127),List(78359208, 13764927),List(9071171, 52330274),List(10666440, 91910850),List(11437969, 47233046),List(58321618, 97198752),List(35349676, 79628067),List(87893984, 34277663),List(12181508, 82549431),List(31094087, 11767346),List(31958283, 80334555),List(91833528, 41861077),List(79810635, 35620165),List(40313233, 57374040),List(49821636, 71385229),List(56978788, 37395061),List(33378484, 63075327),List(36701879, 38229212),List(95205181, 74121566),List(21770243, 21945140),List(27254096, 81699292),List(37234975, 38169597),List(32851557, 33701968),List(35338258, 22389232),List(28394145, 66880584),List(59696148, 85985970),List(97566575, 45083335),List(52631543, 84710981),List(74446633, 82941387),List(24724090, 75351329),List(86155926, 23267344),List(10131002, 50124340),List(43960334, 38182557),List(38100638, 11492078),List(2750196, 64378374),List(54152013, 28183130),List(58933670, 6375592),List(73796545, 46849325),List(47934941, 3945593),List(12618382, 74195016),List(83238176, 55805172),List(61760814, 62863232),List(87461939, 68174828),List(33742062, 37711234),List(41352941, 27209792),List(21376955, 2021486),List(50374761, 40529055),List(24485561, 65137355),List(15829658, 6945734),List(11388127, 68115332),List(4986803, 27534120),List(89623488, 54774422),List(4995512, 15245942),List(74601495, 5940178),List(97590696, 38451056),List(18874245, 85931369),List(39958078, 83095371),List(32223192, 25507651),List(2508139, 68448024),List(3401603, 46505786),List(59247896, 26857869),List(13970869, 18357949),List(48639417, 51972727),List(36154201, 82523054),List(47320117, 62929213),List(21044444, 92417676),List(29006448, 1206674),List(20880919, 71014965),List(39303446, 67053727),List(45316276, 22207389),List(54883587, 5692539),List(75873064, 94615490),List(80804189, 1623541),List(11075235, 57184730),List(76831791, 8534766),List(81285654, 50962291),List(33585226, 96129242),List(10544210, 2444752),List(430228, 77397001),List(20513234, 18482246),List(28471312, 73208189),List(96776998, 18002832),List(7220817, 71681456),List(80627356, 9799349),List(17300168, 61685199),List(1618342, 16863992),List(31304050, 10668588),List(11118699, 20061116),List(59220608, 2530029),List(64042765, 98779336),List(51085949, 66935593),List(47727674, 53446013),List(16125815, 76774313),List(5215958, 62492989),List(74403202, 55931370),List(74914648, 99747646),List(1239867, 88504971),List(11315627, 45207135),List(15430937, 15080892),List(81471352, 7308702),List(3902826, 43311475),List(57278705, 17445041),List(67853441, 4872257),List(17055418, 33148806),List(20302262, 88920359),List(70883118, 22038141),List(70465653, 38148425),List(71690020, 20498541),List(26243962, 45693388),List(21991300, 77177521),List(82756774, 29738303),List(89336421, 36691491),List(97434525, 96894697),List(22001317, 89380607),List(82053432, 44597779),List(75425721, 13894947),List(1064378, 32519332),List(10292131, 7082511),List(5701966, 34077313),List(84770388, 88136567),List(35483480, 17130114),List(79215042, 67766742),List(50524297, 475365),List(39278402, 48905828),List(25723122, 19967381),List(53900061, 9738930),List(61516942, 87100258),List(42910250, 39968005),List(81195967, 84515023),List(66163451, 24715934),List(39413800, 6173690),List(71803773, 4204315),List(66999549, 12032151),List(89846495, 77419219),List(48981903, 16396915),List(91482842, 34120941),List(80488374, 52899758),List(71396166, 565306),List(59048139, 27477115),List(63983423, 25287924),List(74949096, 69314675),List(71649266, 59740682),List(43653034, 45569210),List(13517966, 59325625),List(24345162, 6310292),List(61580591, 23255732),List(66993537, 29404379),List(63392201, 82375025),List(99303209, 40175042),List(40187401, 23790346),List(26602532, 41206960),List(19363381, 73433896),List(95341962, 90054401),List(63370717, 55183872),List(37758591, 92045111),List(20523531, 96065823),List(8960061, 56117240),List(58457769, 54292728),List(67256140, 93358242),List(59905377, 6623237),List(18314212, 46923036),List(94209608, 39403825),List(86676083, 12488816),List(47485544, 96324607),List(99907769, 15810923),List(23262776, 8561951),List(67570888, 55823197),List(22108894, 88840051),List(27272965, 47829010),List(25847800, 66445764),List(91056392, 97741543),List(42380256, 41027104),List(22306717, 2739908),List(17946198, 30820703),List(35587459, 40427235),List(49748707, 70522047),List(28989656, 21880089),List(27149562, 88713779),List(85268080, 40611289),List(25562860, 8609386),List(98509612, 86873035),List(85952102, 38796318),List(15234132, 68869940),List(10376825, 78915059),List(24899595, 18143114),List(19296379, 28593963),List(42671281, 31178591),List(64579064, 60795683),List(63845046, 39888317),List(11734615, 36204309),List(7103905, 58800979),List(36996690, 55808502),List(16414275, 89105612),List(93565372, 94159106),List(3939460, 9779798),List(22812882, 24923082),List(89548818, 95992162),List(18459271, 22332229),List(55332043, 66617130),List(31841708, 32490628),List(38792468, 75438313),List(72107130, 66899851),List(90323647, 4544910),List(17084529, 97516880),List(33733857, 22709100),List(19081341, 58821795),List(98483342, 51566096),List(11405674, 10025489),List(46985970, 60468115),List(24420718, 91732751),List(73333201, 82225847),List(24075087, 55216581),List(1432001, 78873703),List(79560299, 38568970),List(41657239, 75518004),List(68768497, 34300875),List(62782044, 33829596),List(38015017, 50549033),List(21970579, 68743511),List(39116433, 29418363),List(22094497, 83869534),List(31008132, 95119585),List(91222328, 3480661),List(24317325, 59026349),List(97155462, 13600972),List(15503859, 32184056),List(98430982, 31739265),List(33670095, 23070787),List(78437146, 94982091),List(41018944, 27171646),List(52901831, 12105791),List(29914072, 45999492),List(16136544, 16142031),List(13450785, 15742951),List(67040385, 60271551),List(50669367, 3252827),List(69533672, 63087334),List(83626990, 54794357),List(77565936, 33851693),List(39975919, 38951544),List(20105499, 38577799),List(9530178, 47606147),List(21085249, 32815525),List(23965044, 89624248),List(84473814, 43860168),List(76013127, 60481050),List(66776812, 94851149),List(33403758, 64284360),List(41313952, 21371641),List(76387173, 87889704),List(47106311, 36093562),List(3293841, 76017922),List(31616212, 14786596),List(78938271, 44432280),List(67109005, 9391665),List(89516967, 89282597),List(75156289, 87428712),List(96737223, 87512845),List(99912399, 50753351),List(68005141, 70766076),List(27150896, 86040368),List(70086961, 9068224),List(81331868, 53266597),List(78094655, 74558960),List(87329171, 82166519),List(56309652, 29619745),List(91320003, 10287513),List(52893006, 59562664),List(89148048, 91402228),List(48647377, 28238457),List(27475855, 96206375),List(33787057, 56313358),List(44530630, 2087011),List(71159462, 79937126),List(6987879, 9903464),List(35900333, 25817270),List(43295031, 61201710),List(44110303, 64400466),List(1538383, 11532952),List(43325626, 22413074),List(65487872, 26778383),List(93266772, 7006975),List(79729330, 1419042),List(62078017, 12138315),List(20213769, 89545345),List(51201491, 56496158),List(55901830, 77143691),List(701202, 95698937),List(31767206, 5403724),List(86976229, 43438902),List(47442090, 55534522),List(61220703, 84153790),List(63393767, 60310132),List(37523873, 57118748),List(3343464, 31198855),List(73341709, 86723463),List(92800763, 87958699),List(40650463, 12884397),List(30113215, 49611589),List(81476357, 68708636),List(27432225, 63757392),List(79162138, 23261853),List(23965730, 87202500),List(32738713, 91452823),List(9442359, 33157439),List(60824805, 5161884),List(77156849, 16743314),List(13748440, 95884001),List(71505697, 8417199),List(17047477, 43428501),List(56037880, 4146687),List(17074607, 29842862),List(55016572, 98333355),List(89094229, 23895438),List(40849615, 21023320),List(27384800, 69057853),List(34942116, 31953842),List(43635228, 61662086),List(58978044, 19214874),List(59637709, 63946292),List(46925439, 87867372),List(41672756, 8454099),List(69891553, 68176231),List(40784791, 85675793),List(72387172, 93211778),List(65201294, 10176238),List(4777681, 64713389),List(30779947, 18876358),List(50095296, 61450098),List(51300092, 39016367),List(34613676, 8576403),List(66414160, 24386477),List(84329544, 73230935),List(11909523, 29899250),List(47262306, 45277922),List(48007580, 93313546),List(56653904, 5667779),List(45044012, 38242747),List(28663991, 72678913),List(4298276, 96770145),List(6406529, 50117604),List(57960386, 26037870),List(78343011, 20330328),List(18603648, 8769799),List(98591195, 40147291),List(79857797, 79614305),List(48646654, 99564586),List(60577779, 6581272),List(13578716, 22870185),List(2004252, 2230709),List(42139273, 36503696),List(89613392, 11139863),List(1861113, 52151157),List(2764189, 44627964),List(18241070, 1026441),List(16726631, 38097429),List(22611051, 64270272),List(84969432, 85829114),List(16867849, 10933307),List(11906831, 82613726),List(34676779, 67939472),List(64063327, 59487190),List(19645626, 88722299),List(50839815, 53241427),List(97152241, 27540360),List(95903942, 55497421),List(21443119, 7374689),List(29375005, 51977444),List(7896595, 79749671),List(72610539, 68251617),List(54220980, 32725507),List(12314496, 20243224),List(15229544, 16392273),List(39641265, 24720944),List(10471909, 15683818),List(67529029, 19299484),List(93670600, 41292502),List(53347497, 17762288),List(2712785, 49922620),List(87600814, 22852876),List(86625982, 73630538),List(83679936, 46177962),List(14761786, 87565675),List(76297777, 15778394),List(56369356, 31207691),List(77151355, 94701245),List(66824020, 68198988),List(62722052, 22800387),List(74648129, 43738369),List(13675510, 95204415),List(90516458, 46731096),List(22013800, 20810338),List(44963100, 28314166),List(66966474, 29800532),List(96802343, 24717285),List(91798067, 39824950),List(96208491, 53800788),List(17595781, 79403387),List(49086237, 23955030),List(91115322, 3679540),List(90464337, 78900852),List(30532946, 24653395),List(13135872, 94250187),List(25491200, 75972012),List(81847667, 14587107),List(98813142, 86961799),List(36171151, 18128644),List(44954338, 1795770),List(49781058, 32912870),List(15730632, 65395658),List(85492543, 30978701),List(95633769, 42758310),List(82611106, 67710566),List(16612118, 55828248),List(15211974, 14663300),List(18492390, 69707318),List(43977908, 96558003),List(60420740, 87853335),List(27072574, 97888907),List(11444391, 42177257),List(47090112, 11733585),List(24803115, 48274403),List(5692933, 45662439),List(45859856, 10377197),List(29640260, 90108664),List(31905538, 20666180),List(9168773, 89836688),List(75009198, 76262652),List(44062177, 68971597),List(98917907, 89201384),List(80438296, 62659417),List(53516636, 13623274),List(21785501, 83181709),List(57973994, 12826713),List(10592747, 38906544),List(78024553, 80824440),List(88903550, 17837696),List(1835542, 51684682),List(59554425, 68791420),List(97684986, 29139506),List(62421818, 60741795),List(75565930, 94578226),List(31670401, 63247958),List(26155187, 42595169),List(39479490, 5614121),List(5414565, 51956818),List(30336672, 44909863),List(47024313, 59364968),List(61850545, 55985349),List(84449183, 44125706),List(95940085, 53758590),List(86518533, 80809193),List(7250666, 81186336),List(19494728, 99539837),List(6708026, 80609917),List(4926977, 52272918),List(38483098, 83358512),List(79725266, 6184985),List(97381584, 66742041),List(60564157, 39820681),List(31894743, 10365723),List(76019265, 79911918),List(38121864, 25726331),List(34227574, 24670203),List(51725091, 75750127),List(90862291, 43638569),List(71676577, 14056896),List(37912264, 7242413),List(24531686, 27899641),List(84804369, 41968536),List(67552766, 55122016),List(36300118, 79930063),List(85834269, 36725178),List(59097359, 47544499),List(61205602, 25916907),List(59087559, 15154149),List(29800275, 26576493),List(99530003, 33264244),List(26344347, 22423679),List(4228076, 24678965),List(76647114, 13332686),List(86156922, 46454966),List(51704372, 22885872),List(72539134, 50452380),List(99553552, 47598872),List(61312470, 6325213),List(39310392, 55709602),List(46434078, 9170507),List(41032200, 70811693),List(39596332, 84504159),List(75326073, 20529420),List(11776372, 80685959),List(80359120, 22847642),List(26391729, 72367715),List(46365505, 14040095),List(58683974, 33951512),List(65402999, 91518573),List(19779517, 19756490),List(79533365, 30433037),List(52999344, 21022093),List(63207296, 60694580),List(40751578, 14908867),List(69046150, 53099435),List(86360156, 86766817),List(19792819, 37401595),List(65570860, 78687983),List(13992548, 29105505),List(70992414, 51594488),List(1022052, 63602122),List(30520698, 3621528),List(41685121, 16358347),List(9645721, 94920072),List(63178279, 35193402),List(80057946, 8769739),List(12231159, 41082736),List(65425177, 59903833),List(180530, 73922629),List(19490509, 86523500),List(38045996, 11443355),List(76883341, 8047885),List(92168593, 68231574),List(58404872, 65068520),List(49735599, 61557186),List(46892932, 7440267),List(15299307, 7782949),List(84346337, 11125589),List(35128542, 21522491),List(70977283, 4689982),List(43635461, 84429583),List(65757345, 57294686),List(16286561, 18877189),List(63469554, 83342084),List(62084987, 55866038),List(51046907, 15353885),List(98634340, 47234042),List(74859890, 28138227),List(84282839, 26654628),List(95232214, 98343069),List(78265767, 46276471),List(97458955, 70212437),List(16606103, 32817522),List(66738607, 97594326),List(71253250, 52079410),List(97863645, 56006171),List(84415762, 97643789),List(45294941, 94273349),List(13014391, 86323870),List(93150188, 40386413),List(66607758, 64302641),List(46683376, 84529711),List(46076621, 1864873),List(58284900, 21507335),List(30732555, 22462973),List(82295386, 54416718),List(72127235, 52858601),List(42984936, 3355900),List(159057, 9278051),List(63619368, 33253284),List(38388807, 70490820),List(59090310, 32441107),List(79574438, 42904222),List(22635163, 36493573),List(75662410, 48069635),List(52755867, 60738184),List(9335588, 26396698),List(62707061, 60403839),List(51342974, 43255061),List(35645689, 44274832),List(88654090, 84737766),List(94360232, 35956792),List(20423334, 44844595),List(43242261, 47972438),List(59442555, 6786549),List(38833063, 51355163),List(2926795, 89088950),List(57036438, 2606168),List(63872412, 27395390),List(94187670, 69101127),List(93351169, 9040310),List(61233618, 62273862),List(57996301, 19169792),List(85077347, 2058406),List(99516538, 87144806),List(79280558, 54286331),List(51861147, 96190013),List(43309150, 99763808),List(40913841, 73119010),List(34627627, 3857115),List(3236099, 11911299),List(39901960, 94710370),List(30761091, 93554393),List(19685237, 50126511),List(26744815, 92878114),List(32133654, 13206702),List(4993259, 60908299),List(16324201, 74253382),List(73676073, 51203349),List(51222830, 3005501),List(8977871, 47049803),List(24576280, 16149409),List(22361357, 77386777),List(78069264, 20999992),List(16036167, 28121825),List(14393179, 23363045),List(63419664, 74714385),List(10012141, 36833590),List(93140849, 12637652),List(53380080, 96549432),List(43221434, 53314599),List(81048439, 68415404),List(35392705, 87586355),List(27301292, 66540185),List(36948252, 30803386),List(99971348, 6572439),List(58456580, 37657516),List(80824946, 87972653),List(27867858, 65771548),List(75904889, 57829733),List(87409461, 42851288),List(63308151, 28215528),List(43396759, 49086016),List(61672058, 99654500),List(97536581, 1139912),List(27109473, 35205727),List(34976917, 50887973),List(20712427, 73446668),List(56452221, 23145595),List(24039981, 77299553),List(55411097, 13784327),List(80948322, 85245523),List(7820615, 75825968),List(14711806, 39814471),List(22592133, 66626318),List(53930560, 95011110),List(20942777, 11964439),List(17839554, 54798439),List(17748065, 4581517),List(64691653, 95799454),List(81840048, 96387277),List(35361315, 32082067),List(25419347, 39373242),List(54181627, 58405856),List(12027507, 71338052),List(33128927, 13272586),List(68180499, 26539741),List(58644616, 94728540),List(94433305, 59239936),List(88754622, 89334462),List(89919650, 82758918),List(1588317, 78408941),List(98884841, 7977333),List(38424210, 12426582),List(36265683, 53652576),List(62428814, 2543900),List(12997620, 74182410),List(1991744, 35029894),List(98491772, 17149220),List(48237511, 89817320),List(80646718, 36956293),List(34660115, 31337859),List(62466649, 75470991),List(37645299, 38336909),List(16306803, 98066753),List(21348119, 65709250),List(4983345, 14494846),List(88546314, 67833219),List(45202667, 73875516),List(63296280, 95109910),List(60626377, 710643),List(50283626, 93916486),List(55453216, 27533722),List(21634348, 12754462),List(58680547, 33891333),List(17706249, 51084114),List(80474575, 38599844),List(71063995, 20444662),List(34420028, 99725892),List(28516078, 21557297),List(40753432, 18941532),List(71062948, 65822424),List(42663134, 32802771),List(69325536, 25723282),List(80051222, 61144146),List(59413870, 29279778),List(67146065, 25243122),List(36457247, 87261881),List(12425137, 19198043),List(74691459, 82503205),List(43300455, 19560867),List(65432997, 94563785),List(15503436, 7824381),List(85667989, 57873617),List(59669507, 18876594),List(76948703, 52832968),List(77758476, 30762677),List(13028345, 33089449),List(36098836, 46303503),List(98274097, 971213),List(97936556, 13041339),List(40450032, 51349724),List(88184463, 56162703),List(45039439, 70056641),List(61380672, 61097327),List(73612237, 62008404),List(57257289, 25755928),List(9097023, 78874447),List(96369423, 54223769),List(76164273, 10856628),List(40910456, 88848402),List(82000036, 41158189),List(4659502, 9135854),List(14081946, 91697470),List(45380867, 22674153),List(17775356, 92997212),List(72430321, 90998605),List(72503851, 5215309),List(82858079, 61799032),List(91137219, 94704549),List(36235368, 57732071),List(11176748, 397610),List(75299268, 98925968),List(53848466, 74218391),List(98347537, 35795129),List(65469362, 52533641),List(63848185, 14817944),List(4213835, 65592490),List(61098456, 47557012),List(4042982, 426845),List(79104506, 99648985),List(93153759, 6308996),List(48382441, 13314986),List(54837457, 30132609),List(93136235, 83881548),List(59969636, 89339530),List(50394104, 39205193),List(14097587, 96171691),List(64959081, 74418924),List(4177554, 2758075),List(28804215, 28923861),List(86115286, 66919333),List(89786442, 9030458),List(37162473, 35867466),List(25899476, 78049580),List(95879119, 81257760),List(35810732, 23358995),List(83706031, 78627853),List(35918556, 69487037),List(44966980, 24913803),List(41714440, 82430403),List(16842714, 88039053),List(92596410, 57334405),List(68022070, 59978051),List(82278370, 85543067),List(84816682, 82460997),List(39081064, 87101860),List(71338877, 10552186),List(97063447, 86808050),List(83380315, 67496920),List(62223947, 89605040),List(90926414, 77784247),List(83699031, 73094062),List(96244074, 71167465),List(55329887, 37459363),List(73038918, 32747910),List(39603596, 19792866),List(34170171, 38824567),List(13719050, 41308374),List(90462459, 2268594),List(68182920, 4088083),List(69197591, 5483982),List(71304521, 98826118),List(9519687, 89441053),List(97098875, 59239609),List(50576152, 88360667),List(70271951, 78498986),List(20352804, 50143500),List(54948729, 82138555),List(82534304, 51840748),List(28711536, 91373217),List(73878350, 71247118),List(47338314, 6707007),List(30563190, 17932172),List(27657822, 72569085),List(73530581, 65757159),List(12866291, 97298117),List(72965691, 12459489),List(14663419, 5654662),List(58691337, 54712901),List(29749711, 86355498),List(42610984, 27311525),List(74476685, 78747347),List(84727913, 94967737),List(24034727, 24762267),List(85130825, 15379414),List(77698229, 98007562),List(31587669, 16831302),List(30883944, 77745826),List(59568150, 67179317),List(50118551, 43632168),List(4823793, 25119816),List(20099238, 96426224),List(70609981, 72719843),List(22346318, 44866995),List(2289808, 22683561),List(27524339, 84397598),List(42665788, 17924826),List(55964242, 18826699),List(49685869, 2768947),List(42837639, 44302925),List(22478940, 49370423),List(63884958, 29837471),List(27849888, 8994098),List(10222048, 47041745),List(33861782, 25353344),List(18152166, 81158710),List(13996699, 62759087),List(22723156, 62615022),List(58363915, 65973515),List(24952457, 95165043),List(73156025, 27951557),List(85415141, 54104489),List(39981117, 96201820),List(27110335, 45885672),List(3674036, 57399662),List(62680932, 21727663),List(18383678, 61229983),List(79444138, 63414870),List(48191859, 99899511),List(70471795, 49452205),List(26403474, 59374881),List(42140619, 7152961),List(3842249, 5756918),List(36626837, 34685556),List(28364110, 10472037),List(48202026, 65950766),List(75550204, 2390868),List(65329421, 20516853),List(2836718, 98319302),List(61906797, 79309784),List(95448385, 62816659),List(18807781, 43892986),List(91927564, 64043673),List(34049554, 73636147),List(78055710, 57951270),List(73374732, 70515017),List(22925463, 65962851),List(16035869, 80053349),List(23911377, 45617690),List(31167604, 84834076),List(55936830, 68416491),List(38344653, 94497400),List(73414139, 87528605),List(82792127, 99782811),List(69189038, 3326635),List(27316168, 14993895),List(6418646, 95874534),List(27469318, 22136411),List(88599023, 3428678),List(73885269, 96100205),List(69934858, 52108696),List(79567566, 7360355),List(60919437, 82911240),List(65182621, 98077419),List(47880273, 10165920),List(41706162, 57482304),List(43694700, 74417073),List(50916366, 11531534),List(51018419, 12826277),List(79782787, 93767070),List(66333151, 42353332),List(85624081, 95352420),List(18787507, 50418261),List(13795618, 42244784),List(65618890, 12182559),List(93826401, 70169201),List(26564657, 94409703),List(71241678, 29112805),List(4938032, 88668209),List(80943641, 6805415),List(17378339, 42361150),List(20662757, 67713742),List(4657434, 94316719),List(45023005, 92067306),List(90446214, 810324),List(40306260, 91261216),List(41852753, 79811916),List(48748196, 35655058),List(64489253, 67038634),List(41338242, 17205891),List(78153468, 66556135),List(94008850, 8079826),List(40448751, 50337001),List(9666082, 7492743),List(78117097, 13508451),List(17262893, 3022321),List(37143359, 53716032),List(15997237, 49859545),List(61451038, 76281178),List(48089861, 23357245),List(91534564, 74985535),List(40025898, 66382742),List(9686391, 97803931),List(30851141, 880843),List(42390864, 62410604),List(20200021, 36273884),List(10766522, 29243852),List(43835547, 80472320),List(72611924, 62860479),List(95083636, 67205441),List(32431866, 36097411),List(26606300, 50767709),List(65057172, 44980223),List(74673154, 54980785),List(78316764, 98626753),List(56518364, 67962425),List(99776324, 24587643),List(55787765, 75742166),List(39334716, 5599528),List(42303486, 17113690),List(8563570, 90014514),List(31572455, 82337793),List(81855906, 55879135),List(52561171, 7759933),List(87603219, 19539952),List(43868114, 31923612),List(64218117, 12799442),List(49012862, 77492257),List(50853134, 62177209),List(65481825, 50543212),List(45206020, 72461013),List(72308191, 80321297),List(5963086, 10059541),List(85084315, 57635088),List(61590551, 10728046),List(84542616, 35041562),List(27238340, 56146138),List(12013574, 70401482),List(3733036, 26562705),List(60587492, 92404319),List(28342267, 87183805),List(14371337, 46767774),List(96324308, 61953637),List(21762572, 2890092),List(63036114, 33353438),List(74108296, 52840138),List(15425333, 14483865),List(92349061, 51811974),List(13141226, 84325295),List(96245617, 49881016),List(68773053, 22598641),List(54405001, 4073778),List(36381770, 88268630),List(22687107, 34592624),List(95012367, 66750038),List(54810425, 1871720),List(74604364, 47950367),List(12630689, 45142928),List(10162305, 3958156),List(24245416, 36835770),List(32205541, 52472530),List(58104412, 14744326),List(91882234, 22836076),List(82986239, 33818032),List(66627559, 55053735),List(99514938, 15571786),List(66710856, 30251551),List(70442702, 54714840),List(97146733, 50066797),List(96735220, 34873656),List(98180713, 7469423),List(96896217, 31303915),List(1233264, 37414250),List(57228314, 50174565),List(89845132, 62661211),List(79730170, 249487),List(69010156, 48648369),List(9629235, 88633032),List(89577849, 78497928),List(28488614, 21470325),List(52748457, 40486906),List(73029333, 37158937),List(19500947, 67461087),List(51215855, 58845440),List(65327220, 79267502),List(98185597, 18038928),List(64057732, 56855733),List(70676919, 37215379),List(8243994, 67657584),List(88940646, 42925050),List(23342856, 27008278),List(53239457, 43376501),List(50945785, 37537702),List(2550402, 89514251),List(3602780, 38018264),List(85385034, 34494353),List(62380906, 97458307),List(65398366, 80322817),List(51458329, 2314117),List(78249878, 27336282),List(19082800, 93221175),List(11979210, 23385962),List(1421922, 44847764),List(71943541, 93137336),List(24589960, 74654508),List(76603518, 18388157),List(53731728, 35289057),List(80809215, 96482699),List(95497835, 27269007),List(38779165, 97255843),List(83923806, 71766614),List(69155772, 95173967),List(40111114, 88302155),List(29353133, 52983282),List(12146311, 6805495),List(4253500, 51948121),List(89004971, 7454772),List(41237852, 50797601),List(51992202, 56229346),List(79909860, 40927468),List(75782321, 46309012),List(57883983, 62302517),List(70390323, 41945673),List(934578, 1682185),List(26225936, 23361860),List(26469252, 78533225),List(93444731, 5456866),List(57382098, 40284266),List(65019868, 29899791),List(99184591, 94733114),List(52552236, 56413450),List(21332792, 33377433),List(94320000, 46332371),List(62361000, 47746091),List(8611316, 22157904),List(51603044, 84046105),List(47839757, 63096149),List(54856101, 18439111),List(28819374, 58165358),List(5258841, 26599385),List(8627785, 604704),List(64482488, 30796245),List(94845840, 69911075),List(24634012, 62243939),List(57552482, 73761418),List(26206799, 52468282),List(96138264, 37843235),List(16012201, 65891833),List(27746959, 29027578),List(61819094, 19534967),List(83164879, 39347021),List(24055027, 28350929),List(51571312, 45285270),List(14922679, 82467499),List(7819265, 27240377),List(48071993, 68951274),List(80099574, 19507334),List(65592845, 26628335),List(64541404, 12832595),List(89416723, 5145273),List(33389436, 58329177),List(14517863, 18857829),List(92400846, 38578708),List(91747314, 28469235),List(81128553, 3486056),List(44069086, 85296606),List(64929616, 75160297),List(93355056, 77912174),List(62364446, 83568478),List(29275529, 36293047),List(57272972, 5113153),List(88402637, 73171257),List(46387684, 10592720),List(27717313, 40621102),List(89655326, 5017876),List(4593219, 25369357),List(93977846, 89738433),List(1223498, 34296259),List(23594215, 25733130),List(15713211, 91667934),List(15153095, 30026436),List(24121672, 99059335),List(91132368, 62224976),List(92224280, 97677024),List(18593312, 43844934),List(26203666, 40371269),List(61706906, 74437639),List(96383023, 28322311),List(36021317, 27184070),List(55769593, 28506558),List(46296236, 96645620),List(5395511, 71913771),List(30341191, 30516944),List(97004762, 99379412),List(15351158, 24082706),List(25064085, 28934751),List(40082093, 57772144),List(47059979, 8413803),List(31723528, 91835039),List(58420444, 16236394),List(71537163, 99811414),List(70480170, 5930337),List(41199082, 28285545),List(54985848, 62534901),List(48392153, 64947167),List(64009743, 77225129),List(14244313, 17112281),List(35714984, 92441104),List(44444793, 46130520),List(26513243, 62490544),List(83589441, 41423851),List(58663657, 10783448),List(64147283, 87609354),List(91028499, 81599116),List(20693693, 5906471),List(34255075, 58485719),List(93348281, 21211000),List(74358522, 86495856),List(86694129, 11158712),List(36040577, 53963258),List(68043687, 33247843),List(21584366, 84286285),List(90650960, 15701051),List(4763903, 98883485),List(33589008, 64234447),List(85494170, 89928008),List(10567302, 52389186),List(87096058, 23802102),List(2370515, 88913214),List(48766726, 31213199),List(34369689, 65241237),List(18652768, 41740060),List(61762864, 46630541),List(27919807, 53330677),List(28257248, 7000919),List(27951028, 63602992),List(39847540, 97020276),List(54255833, 49384805),List(12233197, 63697457),List(4336178, 87834142),List(89154779, 34710570),List(45738499, 80524743),List(15056575, 22470783),List(76404706, 36490285),List(33260198, 7440678),List(42641024, 66542387),List(12561064, 83953654),List(32761949, 56863776),List(32591483, 26158373),List(20610368, 61494092),List(53292692, 42672557),List(22274297, 13845842),List(14017063, 35008141),List(54480019, 10418176),List(64937704, 86722651),List(29509661, 21755683),List(45590659, 75200843),List(35713801, 25136310),List(56597135, 69817604),List(40241696, 1996049),List(73584846, 48487154),List(22583563, 42355292),List(86950312, 88308498),List(23728374, 23257514),List(79519663, 85045500),List(60807184, 94941781),List(5183792, 15587681),List(28262390, 89496660),List(71851529, 95949495),List(44428061, 13485089),List(46497545, 14752860),List(97068069, 46856286),List(18823851, 50804233),List(3612137, 72009171),List(37679874, 98131620),List(75345485, 99047899),List(8742072, 46758570),List(89295498, 99012293),List(33483940, 22695208),List(1135824, 74573497),List(32815185, 92321805),List(94042932, 19072926),List(61849867, 8168026),List(10909817, 18732807),List(50134292, 83151199),List(61020983, 8361027),List(64085806, 19417544),List(19026417, 46882539),List(67207029, 7418865),List(91245843, 17276098),List(65812780, 5079940),List(69379328, 42037659),List(74053759, 12411523),List(76412183, 47654561),List(8630454, 3290124),List(34243354, 74192804),List(73598589, 5922182),List(95099772, 3638018),List(3374070, 94276487),List(27025957, 52106147),List(76075261, 71358584),List(71602704, 81486394),List(420046, 5960049),List(75401785, 45120407),List(21417261, 26583837),List(19596039, 8370877),List(85821264, 38021241),List(65460990, 16761002),List(46713324, 55638288),List(38866123, 13912102),List(63930918, 73667701),List(83129506, 15069295),List(52238334, 52439233),List(17982874, 98604041),List(7105496, 24516775),List(59609225, 37223113),List(57345339, 18408973),List(56828219, 72299668),List(13154704, 62821433),List(17812420, 19700578),List(57024108, 46658366),List(52424881, 27592396),List(42280234, 10413366),List(89771017, 89977796),List(95001032, 28954694),List(58378907, 11314916),List(78639664, 88084005),List(96964457, 87088862),List(91130729, 54005087),List(26145016, 96755242),List(40283280, 76328381),List(94925143, 97709512),List(53658726, 43181433),List(45711978, 85321568),List(74613434, 89356019),List(23973752, 74990650),List(2360699, 92467720),List(97427535, 35816093),List(27504254, 79349959),List(8802827, 99769405),List(69708332, 5826346),List(7792376, 69294202),List(23442210, 63842353),List(4523777, 72257386),List(5403642, 43561498),List(2834769, 45570152),List(46790434, 84279223),List(42774320, 27763125),List(72602659, 81974112),List(28518767, 11443271),List(11053489, 70175200),List(24803573, 39215216),List(43984378, 46346796),List(47609888, 43743064),List(66108571, 86248660),List(46486650, 54183302),List(19059160, 77307892),List(86771466, 29697042),List(96169689, 5288295),List(81930153, 59038579),List(73772431, 18643653),List(15863484, 8656257),List(91441323, 69323178),List(28289177, 45362126),List(55779848, 71691331),List(24465451, 73170611),List(9579986, 1722334),List(99058466, 49918194),List(9741660, 96087527),List(4924182, 3926161),List(60825051, 41910683),List(55261554, 75608106),List(54459817, 76081469),List(2971859, 83606412),List(34773184, 90870342),List(52303758, 43920610),List(90592986, 53718843),List(13627722, 78947747),List(36383245, 19202165),List(38683639, 84243032),List(86676817, 6409037),List(50168491, 90618239),List(91430951, 99326362),List(65237893, 92326825),List(12877384, 53330077),List(91741536, 31475801),List(13625311, 60288876),List(45147183, 38479683),List(9845565, 99636692),List(83383275, 23749526),List(61770520, 75213134),List(24613170, 27746532),List(26206015, 10360665),List(20196678, 63421334),List(60444707, 68501917),List(81501487, 19602349),List(40444984, 27325995),List(62270978, 45574010),List(80486066, 53264390),List(6174365, 21163537),List(62303957, 76742883),List(35845496, 36409292),List(452306, 22589435),List(26706810, 26019111),List(85137507, 93521764),List(70952216, 13779794),List(56570164, 77723979),List(20391934, 33188364),List(75976961, 1124492),List(42470350, 85798147),List(81170507, 72190814),List(51722827, 10733485),List(46042534, 26545135),List(25358872, 95678142),List(88839529, 23288909),List(15151394, 86345544),List(49624103, 43828389),List(57498476, 85428341),List(20751868, 80806128),List(57763541, 90335369),List(24558949, 31355510),List(54329148, 52425742),List(40601186, 85547755),List(46837974, 68470241),List(67282410, 99739498),List(97003606, 56949670),List(49269535, 38228624),List(24344375, 57564492),List(71111634, 99953862),List(58588733, 25278238),List(35960110, 35046448),List(16069300, 38126084),List(30360824, 95158750),List(37810627, 77893288),List(93700703, 91889473),List(35877642, 85301857),List(4436709, 94613066),List(81155733, 79040456),List(2606585, 82877581),List(9631028, 22863641),List(11063981, 12291256),List(77250853, 23277093),List(65698905, 66047261),List(79138812, 42158122),List(12289940, 39067229),List(33888559, 19653819),List(20756876, 80054597),List(68335785, 29913822),List(16625696, 62557232),List(31844025, 23403472),List(86137208, 97809466),List(79462031, 56264834),List(44842413, 25091884),List(98590240, 99264930),List(33563897, 80002806),List(66258068, 34233537),List(48646808, 42955825),List(18689660, 4323373),List(37465623, 18712224),List(99778603, 84583744),List(24401577, 23327477),List(30930653, 50158329),List(44645798, 95176248),List(7715597, 37526834),List(92475328, 66582250),List(57805369, 89962906),List(38576813, 38359035),List(61094385, 37482332),List(88928209, 55379551),List(43924348, 10475327),List(37872860, 29830800),List(64600025, 53638700),List(46926708, 12936121),List(68449682, 67285317),List(90095708, 19107481),List(65174506, 19824444),List(47740673, 20313992),List(22505582, 87409236),List(14430569, 70989594),List(27496240, 63882440),List(50412291, 76354594),List(11429729, 78401718),List(25066654, 19033587),List(40899633, 84536965),List(92363189, 85838301),List(54008366, 25739666),List(29348102, 92299103),List(55025343, 67218870),List(71941361, 86676810),List(57263416, 99875241),List(50858054, 78997887),List(81420278, 23845712),List(88004988, 78511648),List(48981742, 8989607),List(10788449, 12840848),List(72432718, 2560894),List(89252461, 28131342),List(23142166, 12764722),List(68541823, 3810927),List(68613992, 75437950),List(47099084, 1956187),List(32105015, 31065430),List(40346068, 60933919),List(49060147, 83740339),List(21774733, 93713686),List(94620092, 85212444),List(60607795, 67378129),List(37100465, 88807685),List(13344895, 11150074),List(41744278, 11235554),List(98498202, 18094118),List(19580374, 16473576),List(40039758, 58560942),List(76717889, 21513581),List(58139871, 89204245),List(34771484, 91014603),List(59296734, 55074152),List(42588116, 11972417),List(11339974, 864343),List(34566242, 65440990),List(49557380, 6114759),List(70974258, 33516230),List(75732374, 86902189),List(25232458, 60499977),List(28540511, 94633247),List(65248187, 31618624),List(4351503, 61810171),List(93492594, 21512425),List(4398483, 567036),List(40581302, 26080472),List(68416753, 71380109),List(97680319, 24231715),List(50392398, 77144421),List(91891675, 2263378),List(18737656, 48852212),List(7451870, 31908568),List(53829705, 28689086),List(52132856, 8151350),List(16747749, 83351073),List(9996420, 7570637),List(92529935, 45143933),List(90712827, 6451161),List(14666047, 47148749),List(58122630, 12290037),List(42057392, 87476324),List(13904496, 19085172),List(96583100, 40775035),List(24185548, 5596692),List(61365009, 364756),List(1172241, 87883719),List(33606960, 21935077),List(38834403, 37349472),List(86988585, 94078111),List(38715213, 341505),List(51284111, 62265195),List(91657658, 87329823),List(24234616, 64995580),List(74847135, 36341413),List(62011934, 68337141),List(95282582, 7277299),List(50252997, 49280840),List(7643029, 65052355),List(87478417, 50882071),List(28162491, 6459202),List(63938004, 83386863),List(39498374, 89233230),List(50296864, 73163173),List(75787122, 40489301),List(4578214, 99472080),List(28620290, 94162735),List(1921327, 12526373),List(7030629, 86975626),List(66803341, 69248997),List(86110376, 71371686),List(66266626, 94230739),List(17024559, 65859924),List(34634178, 82139275),List(18537215, 89605437),List(74722665, 48800263),List(31947246, 53741127),List(76828299, 97364994),List(80215347, 66685172),List(77901462, 20950029),List(14032588, 62676125),List(47823273, 34577691),List(7000708, 29237950),List(36938385, 36953385),List(35590695, 69147605),List(21760870, 65549250),List(72801830, 44765802),List(82700663, 14198319),List(60822832, 55844744),List(76089061, 78121715),List(5559304, 26342673),List(54421233, 78195268),List(15027590, 95463770),List(28237882, 90512327),List(46716248, 93545182),List(8801378, 65793097),List(67194680, 23144751),List(95411820, 47055214),List(80539602, 80614712),List(13252761, 64319451),List(58550245, 68326085),List(97663284, 10029933),List(10559410, 40282053),List(46253983, 65256774),List(16770728, 83742899),List(19976040, 21397469),List(65449896, 47303988),List(25766316, 42548420),List(27942311, 92604615),List(63958534, 23234850),List(14384458, 38516044),List(20610171, 86789512),List(21851508, 48685767),List(47527967, 52988949),List(79252361, 77778849),List(36934059, 70968681),List(4802165, 9313821),List(6697203, 21910438),List(20919644, 12545720),List(7571738, 29618657),List(98879754, 26964899),List(57856939, 19622631),List(61859134, 92709753),List(79049666, 88082446),List(450479, 8282756),List(53867973, 15379821),List(23680716, 82098121),List(78083730, 82074760),List(46861297, 84052444),List(55260054, 48287981),List(60173094, 41720536),List(68036708, 20567127),List(79080657, 24534150),List(40263865, 94067252),List(11973495, 68282467),List(82185595, 5273146),List(76356222, 35702098),List(91661163, 94865816),List(1508711, 27343706),List(43501263, 37493252),List(94470571, 65145036),List(66592531, 59834202),List(83468527, 2283270),List(95910246, 17510815),List(21178092, 35505552),List(70737690, 55836590),List(80417124, 2415901),List(88537290, 7238496),List(74441899, 97779404),List(34329928, 7025515),List(15928815, 97487182),List(76235951, 29434231),List(10776096, 20476491),List(5910487, 93667991),List(43774453, 12493596),List(74195785, 34582108),List(91647122, 18805528),List(13452111, 79016984),List(54365306, 26791599),List(1266993, 52560573),List(32811914, 1238602),List(1819757, 60702300),List(99241858, 56538293),List(95506386, 22707515),List(67157410, 73473080),List(52959504, 29729206),List(68389691, 68481388),List(66102994, 16380479),List(47946841, 74420179),List(83674261, 43836557),List(26932536, 99014972),List(48372678, 23232746),List(69559404, 53718203),List(81483590, 12049492),List(46954810, 8699630),List(85250543, 39201300),List(55511994, 76732443),List(26605395, 77791705),List(7501880, 41527027),List(24013665, 1062131),List(25559607, 39616614),List(21868678, 26170943),List(57090943, 78289258),List(83464878, 31621191),List(15825724, 34842501),List(98218039, 87393439),List(86984534, 91110497),List(15052413, 97372203),List(95885411, 40087009),List(64998643, 72104602),List(65474067, 43772186),List(69016936, 72404359),List(74936190, 83811756),List(75944945, 43542233),List(64557388, 4445082),List(92768969, 57186760),List(97257100, 41690533),List(8589533, 6464532),List(69468818, 99206739),List(32487735, 43672005),List(28700642, 35680610),List(15662836, 93098830),List(47845925, 20813992),List(56236601, 56056085),List(54447767, 93605552),List(99204999, 50111235),List(83728313, 11967974),List(57763345, 17332703),List(48228514, 24569101),List(80913580, 68124862),List(28696113, 87377694),List(73568442, 92510353),List(27817700, 69805845),List(94529405, 3750022),List(24716166, 40871904),List(56703026, 16430623),List(17546128, 8687110),List(17787262, 76518321),List(6425450, 91842407),List(18777590, 94928642),List(34025608, 43457350),List(50924323, 74224149),List(80640675, 68672874),List(15899031, 5936852),List(93321789, 43082299),List(14607045, 6451807),List(85419680, 70938830),List(81190635, 57064362),List(35615626, 47024589),List(67690246, 33698429),List(35264836, 47951684),List(70560398, 8088303),List(16996728, 3907984),List(67272046, 78220311),List(1681731, 16278261),List(70918781, 24017177),List(42187100, 67639812),List(17338836, 72375859),List(22592199, 5454017),List(6168140, 70709513),List(17980524, 70751064),List(38046255, 38632422),List(84287379, 3941544),List(64304906, 58235429),List(57616649, 79850888),List(6287108, 86990664),List(28893532, 83074295),List(99542951, 97764853),List(29427062, 7467420),List(61982098, 81745940),List(32032475, 16480335),List(46126496, 88850797),List(60193757, 46980348),List(40559167, 13903280),List(22451066, 78579362),List(50520403, 51362553),List(65690574, 8640280),List(94515078, 56816223),List(11320039, 88193646),List(96817439, 29812940),List(79552401, 88841114),List(9894746, 93476021),List(93974580, 26247702),List(26937185, 55275423),List(42869709, 62890632),List(53318559, 8418491),List(24571229, 54728852),List(76821740, 65652543),List(955083, 12381103),List(47357100, 5525229),List(5079804, 12643515),List(48107615, 40437288),List(40358088, 51884065),List(55672410, 81826514),List(89026664, 71683900),List(76343276, 99287720),List(16107348, 37030259),List(53567822, 45609833),List(63290324, 80333519),List(92746244, 57341850),List(14808262, 36611869),List(96088654, 51051047),List(32396667, 41576166),List(70072958, 93291574),List(48050543, 45952524),List(65028010, 78998554),List(65002864, 56049999),List(16899791, 24905534),List(98512620, 10877546),List(81637484, 36218426),List(23245782, 71129393),List(26490685, 39207725),List(24902308, 84692074),List(12042752, 26361839),List(13706375, 47213949),List(55707444, 80911179),List(59084480, 91049066),List(93480931, 24936517),List(75735564, 78964952),List(69940687, 2425978),List(22778627, 30579321),List(15669036, 94383138),List(2217726, 71817176),List(58246620, 75402037),List(51568738, 74847628),List(27047745, 1880350),List(20644308, 89464203),List(74305297, 57072117),List(65637844, 29644133),List(95102594, 13778655),List(99940911, 77673680),List(85286909, 19028609),List(70512207, 81034681),List(73458686, 27399333),List(42636904, 25925017),List(24231171, 36053163),List(43741033, 40982973),List(43782797, 37143727),List(93797917, 3193506),List(93725393, 81780459),List(91504751, 78159499),List(30011170, 83749925),List(14773795, 84514914),List(72334512, 26334787),List(55619364, 77236122),List(58192684, 74748693),List(77805861, 38670250),List(36123924, 22168335),List(22832909, 37767919),List(94093423, 82250826),List(5484412, 78451295),List(9903293, 25633896),List(42248064, 48207510),List(76388774, 80775940),List(50513089, 11448282),List(1549262, 3211108),List(7710752, 69734916),List(19642354, 73309960),List(60282995, 41227188),List(63524701, 53782903),List(36601987, 91104430),List(61552063, 30619819),List(36634178, 10512863),List(68526933, 87640544),List(25074058, 24166012),List(26484661, 85988461),List(59679502, 54529198),List(70547062, 14766971),List(70318152, 54533294),List(60474020, 32176545),List(1813280, 88109587),List(86383968, 6125265),List(80623266, 42231380),List(6424441, 48131687),List(20592052, 1259530),List(34624525, 34253678),List(15210292, 61088914),List(70509870, 17688537),List(14235333, 86148166),List(27117251, 20160072),List(72796619, 9678086),List(15864625, 62357787),List(47766855, 81262438),List(31119116, 33333758),List(36155720, 60109180),List(2373092, 22543395),List(3903809, 32798878),List(49487158, 87585010),List(43397764, 89696932),List(59883399, 51805969),List(30435691, 71951853),List(75467375, 36808466),List(15935843, 34876782),List(26340761, 71272725),List(5213256, 928660),List(52339114, 11289868),List(74911750, 64062843),List(58068681, 77054065),List(73702267, 89916964),List(7112595, 14802504),List(33737227, 39021986),List(36223882, 92921215),List(30749431, 93617220),List(7625194, 26279449),List(72327567, 29795572),List(20729990, 53409958),List(75156800, 56037465),List(98073747, 929562),List(78542774, 59519216),List(19207029, 90861278),List(45766998, 57385497),List(61604668, 4019472),List(52147948, 61231263),List(54895544, 4470017),List(32355263, 67700709),List(85353282, 40675369),List(96703589, 54117726),List(84005645, 40407408),List(92166932, 7768007),List(61955844, 99473195),List(46158250, 50967123),List(58585840, 79079426),List(39669739, 15595346),List(19122375, 40772123),List(80082847, 30117691),List(70750483, 57244458),List(48564821, 81465890),List(92909133, 36901835),List(40390704, 2329541),List(79255768, 70291469),List(51864986, 10635279),List(66190589, 10576721),List(55500771, 42726223),List(82518727, 28640535),List(5241557, 73957805),List(94322220, 31279331),List(49885320, 24124937),List(33672152, 31452534),List(60385034, 72592583),List(20614637, 66155953),List(50150702, 94402177),List(82788034, 76064282),List(83635588, 24263554),List(20353260, 3917667),List(53286086, 12460602),List(60886083, 9924617),List(96247219, 53748367),List(79249512, 69146204),List(8970613, 33178023),List(6355437, 11028094),List(25194279, 36730048),List(57173524, 66819830),List(53838368, 87115686),List(172325, 19862124),List(57804862, 36719018),List(63593208, 51501117),List(41806882, 33547430),List(28337711, 21436863),List(84342146, 98471162),List(67320946, 77453834),List(88121310, 79980938),List(3238180, 73716611),List(40644713, 39487155),List(36649498, 18734755),List(52689032, 9775354),List(17316371, 99789828),List(40240944, 97704167),List(86180641, 23304094),List(41337193, 26231856),List(74412510, 51168473),List(4617683, 87541461),List(99962976, 17645703),List(608685, 96286961),List(49695774, 52657821),List(12546480, 75370788),List(44828109, 46520135),List(65644907, 80084816),List(54046423, 99499886),List(55513249, 33261830),List(87038639, 46679260),List(33612267, 33808296),List(97197202, 39115195),List(68788999, 87758715),List(82570919, 43701623),List(23121419, 59187848),List(16329016, 7073556),List(79336920, 96124864),List(48433664, 51606066),List(42391671, 64949496),List(21402716, 71777481),List(6937432, 96100971),List(65490743, 94705637),List(48369617, 96566088),List(72533534, 33636074),List(97632460, 26039878),List(23443293, 4438437),List(58790600, 62763705),List(47526985, 55488775),List(36636208, 3694563),List(48012333, 31668412),List(7335023, 74972315),List(63773980, 14036396),List(17091037, 95056191),List(96475170, 95739572),List(71305624, 52240672),List(85050065, 98967793),List(35419823, 12632174),List(86183653, 48461122),List(29112772, 70406058),List(82071694, 71833951),List(78272235, 56192554),List(32590319, 10287128),List(85732689, 36648703),List(88815651, 18362161),List(41214328, 79249217),List(50789248, 10867170),List(44307667, 83809274),List(46498867, 12816118),List(9865678, 57035680),List(52360233, 19220554),List(18015203, 20460222),List(79128061, 44880608),List(96490799, 42831894),List(14292814, 77436864),List(46387855, 61316979),List(66559340, 58659525),List(36823218, 71256477),List(14769806, 91178654),List(22649658, 95895405),List(31931379, 90334522),List(40442457, 50549078),List(16139645, 85397539),List(46098244, 20016007),List(98197009, 43838028),List(13429150, 27962462),List(82097661, 55870502),List(96004128, 42623200),List(53753023, 74348351),List(31812016, 79506837),List(18471215, 86092433),List(63882829, 30353440),List(23771417, 12681172),List(59133490, 40701513),List(34665778, 10519310),List(63279343, 1463895),List(4718122, 87795715),List(86253752, 53585204),List(21233449, 24891287),List(13694038, 65853562),List(91709233, 16974480),List(63173293, 45237394),List(89318136, 99274512),List(41933895, 26522516),List(96166831, 65073683),List(1321513, 63564455),List(14900089, 22650550),List(2204619, 52091379),List(89270524, 6989031),List(53937632, 57949804),List(20593594, 85524731),List(8070731, 32587904),List(72693384, 35416988),List(35279810, 28547328),List(20424218, 35605424),List(50547830, 67200036),List(33990970, 77695686),List(98944336, 28088880),List(39149252, 30507704),List(93413132, 78989938),List(880200, 60112459),List(60915987, 89906264),List(69848332, 41406274),List(69895860, 90677465),List(30721815, 30921284),List(12556988, 91654033),List(48598903, 82857644),List(40020041, 24822586),List(8150796, 39391649),List(20618973, 74504927),List(41367210, 97440808),List(69226403, 511525),List(29230966, 29305429),List(44497834, 87733216),List(59629868, 97769811),List(32565526, 43833761),List(37549088, 79187009),List(55885253, 7061324),List(14381561, 88357057),List(9141052, 98134358),List(49016743, 4614227),List(23017049, 13385328),List(17756590, 95323864),List(86824009, 61791249),List(28743401, 25562034),List(57322454, 74256906),List(53277889, 65729175),List(38815272, 83085937),List(52625739, 90677936),List(75151945, 214908),List(79858345, 55299974),List(5103591, 40936290),List(3062970, 23930265),List(53695018, 26661802),List(92105618, 92068337),List(10708115, 99998135),List(69833330, 55607769),List(13566563, 3294136),List(99737889, 51764424),List(56478682, 53289809),List(91195322, 43444054),List(92709901, 50608698),List(93866253, 33105518),List(5010202, 5713037),List(85453206, 99736786),List(40592291, 53463698),List(98476468, 58854070),List(39128858, 98920056),List(29062978, 35847585),List(83289623, 44771319),List(15497102, 43268668),List(4829320, 92575288),List(12150648, 42074780),List(91336685, 94100407),List(73393439, 3043403),List(75015492, 11410098),List(48123206, 40841281),List(10944407, 33007588),List(92993255, 39283657),List(46268641, 8050526),List(17935999, 21952180),List(72847060, 83280663),List(17326379, 28055437),List(4966285, 94564459),List(55298105, 32943722),List(38681661, 5368180),List(25563575, 41654376),List(71089766, 51033985),List(91005440, 76495210),List(48100498, 84202507),List(86629712, 95163214),List(12567075, 61949865),List(25176351, 48999212),List(77672284, 69325844),List(41717571, 89269068),List(99099423, 70680928),List(48130758, 21628328),List(95740930, 52074886),List(97483035, 89370783),List(73152857, 17277646),List(58617852, 70033121),List(54268893, 27462498),List(39449329, 92377469),List(85692394, 75828355),List(73767482, 83109656),List(77743021, 11586397),List(61413620, 2216456),List(78894826, 41178291),List(58568127, 80918796),List(59989254, 49296013),List(68322733, 69837496),List(98862616, 15519795),List(54274344, 13785776),List(72088243, 27565407),List(5386297, 38745384),List(13647311, 74935323),List(18089378, 78370539),List(95342209, 29115939),List(41927019, 59173618),List(24176551, 65652392),List(81330308, 85354209),List(94295588, 10413888),List(23377998, 25407069),List(10693927, 61179917),List(75635411, 98176031),List(11083473, 32353690),List(99006678, 90900631),List(44572474, 75582575),List(69505037, 72407033),List(77732978, 15521490),List(72224911, 70836335),List(65848401, 41963918),List(5943054, 41086943),List(60004127, 90224118),List(65579031, 51410773),List(5489072, 38741943),List(7036299, 2843006),List(87309359, 18517482),List(7003077, 83517963),List(95594832, 50600962),List(45351344, 82793965),List(23140526, 79320373),List(28576266, 92452614),List(12286706, 34073896),List(56783298, 12924311),List(19729122, 17045999),List(67079078, 93472374),List(9865837, 33039709),List(47646469, 68939178),List(4903854, 33935706),List(92126608, 22139599),List(75757761, 72652196),List(78244173, 44897328),List(18869560, 13941878),List(22616597, 30046851),List(30591476, 33512879),List(6576816, 69730609),List(65673289, 89933233),List(6123682, 10420205),List(89830957, 41436127),List(67491294, 62122698),List(56518079, 35249321),List(39540145, 80769541),List(24637108, 92088878),List(96946774, 38734160),List(39230557, 55828572),List(81159708, 11090571),List(13002481, 37941073),List(59291834, 37925927),List(87797387, 36913013),List(64184943, 32791240),List(26529165, 80080115),List(11558811, 54573338),List(89964217, 61660139),List(75520565, 41181146),List(93414534, 23997427),List(39261137, 89685908),List(8534441, 38660147),List(82036775, 22285252),List(18717455, 25534743),List(78651089, 39601151),List(15077944, 50889086),List(41408364, 78160635),List(86450085, 27990776),List(19943308, 68456567),List(96813333, 92442415),List(54691724, 15618451),List(40293073, 92385241),List(94715429, 81999238),List(84289538, 20431013),List(58668467, 79955211),List(41435040, 99757183),List(15053144, 29617555),List(64206414, 95386777),List(10147918, 12716660),List(51558403, 76759092),List(59788645, 58765311),List(65962569, 98160887),List(33066639, 76182974),List(92984016, 26845760),List(70972840, 16430567),List(23886593, 72802325),List(84043017, 51151225),List(65951963, 43540916),List(56577159, 98905710),List(50864710, 99542828),List(13512988, 6962947),List(67092839, 70438058),List(41606744, 10036934),List(63241894, 35672838),List(26302740, 58407655),List(71434429, 8096),List(64971893, 62974190),List(78970838, 11457073),List(27376566, 87730558),List(45559695, 8180250),List(67872611, 19262412),List(93171378, 87273160),List(71054860, 32011148),List(4341630, 43216270),List(62513353, 66368629),List(99998709, 87190717),List(41401173, 32700200),List(45486634, 62891929),List(96496747, 35233584),List(24765096, 40892290),List(75658752, 25801713),List(14310832, 15205079),List(83624889, 65443031),List(23180702, 54435607),List(73682225, 20225649),List(17178991, 42067293),List(11310619, 17147119),List(65092562, 72597947),List(90039964, 61409270),List(8318784, 10047134),List(9123934, 6889884),List(57614880, 98837666),List(91202321, 96383437),List(74504903, 56785055),List(87322781, 16104007),List(78754997, 50228331),List(43833266, 99862358),List(51556345, 68829204),List(25828076, 54995796),List(82395983, 45815147),List(6268427, 5493460),List(11397667, 47765681),List(55868652, 34442592),List(41995833, 30335028),List(14837021, 14240281),List(56686617, 54004723),List(97685769, 99531891),List(702761, 39215289),List(23804994, 57547041),List(12847278, 76789187),List(66506004, 57780049),List(86720921, 20773186),List(43270978, 28844826),List(25299341, 20221191),List(40647125, 78909929),List(13950130, 53671880),List(90119782, 11404681),List(26222381, 8966499),List(81188809, 74221400),List(66657605, 32715502),List(70050132, 18861883),List(83699240, 55545122),List(49465078, 5977711),List(70145424, 40499291),List(69441662, 44485261),List(37460145, 9805761),List(53985503, 7821990),List(60326599, 41270997),List(97107066, 55233011),List(22729259, 46112622),List(78562377, 52510132),List(29265910, 87457147),List(67721712, 45856858),List(43817643, 46435942),List(40474052, 32630726),List(88197956, 42848193),List(11711820, 55641100),List(65035364, 11410164),List(53078909, 42823092),List(79281335, 20953754),List(91266396, 46647718),List(3116236, 93762362),List(44219974, 15290177),List(6649535, 90623426),List(78391282, 53148145),List(99797115, 18012567),List(27206367, 58680472),List(70525342, 61278986),List(68504506, 70063666),List(10738701, 87381246),List(9905492, 95484091),List(42524903, 82651722),List(92647411, 17634757),List(6855998, 88219815),List(27575181, 90374262),List(87766940, 27681250),List(57256489, 34653190),List(78592805, 37577827),List(68446246, 43753226),List(70328751, 90752948),List(20338936, 77291548),List(50122000, 11965331),List(61731386, 67948915),List(40527986, 76446972),List(69905669, 85278015),List(10313731, 55877927),List(87467850, 96950254),List(55138505, 74629256),List(30970392, 56185887),List(80198750, 99965843),List(76659615, 50860780),List(83071960, 53414991),List(89251108, 97629703),List(78691897, 25467978),List(55917448, 1375913),List(82555348, 96314536),List(95957342, 25114723),List(13681495, 24746355),List(34498837, 80128145),List(73079368, 27184858),List(9923622, 80947533),List(23428040, 10215214),List(38395759, 98570065),List(5746533, 63248152),List(15011785, 33692062),List(45069853, 93972572),List(23526787, 98632167),List(98527036, 55945227),List(33091187, 96002916),List(70574352, 9909840),List(11872013, 16382019),List(44138756, 23072418),List(60227089, 57208329),List(9294474, 58327524),List(64858358, 54974376),List(74371801, 3663648),List(56746684, 17934394),List(25076322, 68984203),List(2252017, 83703685),List(94774974, 53485920),List(43294058, 72722458),List(96022344, 76114197),List(44952848, 89442755),List(82369253, 8381139),List(58460249, 20736052),List(79895976, 10088065),List(19787175, 12952081),List(54028133, 60663379),List(98230415, 251679),List(96721680, 56652840),List(2990754, 17651446),List(72153555, 85046486),List(67695621, 70459386),List(88547041, 92042797),List(62617573, 41998704),List(66866490, 84906691),List(19124665, 95983227),List(66611897, 70305685),List(58738007, 65143626),List(73398535, 85446596),List(6798727, 2953829),List(62406289, 23051325),List(68042412, 32392180),List(39270882, 93840834),List(50234529, 43596543),List(73125196, 75988198),List(15157622, 33295592),List(54913897, 77415886),List(86518698, 4439794),List(63302243, 30391188),List(47873592, 7624567),List(73807136, 73665082),List(26046815, 30442230),List(71448879, 47619074),List(39297373, 29600311),List(55937766, 73950806),List(70569808, 35384325),List(8475017, 99672271),List(10343448, 79903967),List(9376625, 73515953),List(54207239, 8241170),List(76384364, 48046819),List(71037842, 59859752),List(34889682, 3913691),List(88004353, 83612878),List(52385961, 12404046),List(89915781, 89027526),List(21396461, 55461158),List(97546690, 75934669),List(37021177, 6053913),List(90570041, 81004106),List(87688915, 50201242),List(70045723, 10742522),List(69079438, 10807323),List(29103463, 327193),List(29289063, 97803573),List(59971028, 29204891),List(24286013, 55355028),List(66407398, 47314189),List(23123219, 54756540),List(37633368, 51057745),List(9383214, 57849552),List(35621673, 57717955),List(76495817, 703215),List(23255291, 59495699),List(1249862, 61836174),List(64225931, 48826421),List(96281024, 3104362),List(15984131, 72582626),List(31185436, 61944020),List(45933896, 39215465),List(91961877, 64653582),List(80607349, 98030183),List(91540740, 94939639),List(19724439, 67612047),List(37460563, 35092991),List(14566688, 27068924),List(75192544, 4904934),List(55662470, 33158989),List(18381744, 69935044),List(13767371, 16673119),List(24846818, 99164963),List(29977474, 42339627),List(16094028, 65219312),List(451950, 5783573),List(57683394, 44575984),List(20235614, 13684374),List(3455357, 2536852),List(82551635, 57034028),List(43363484, 26201131),List(81281887, 77562917),List(74492004, 34177126),List(27067995, 78083985),List(84459438, 72317484),List(53682840, 60126633),List(7014740, 66013229),List(88421520, 72881444),List(49083482, 40308024),List(7922035, 31638674),List(55722786, 3379942),List(24617966, 26368974),List(47487319, 17780644),List(6707429, 29938579),List(592144, 24806421),List(31915446, 71463388),List(84647835, 87742212),List(8442359, 46656547),List(89618680, 99170345),List(1923565, 81239464),List(57428190, 4025755),List(23336186, 40271858),List(14391266, 4492944),List(44461589, 17110340),List(28427190, 60683940),List(97252008, 80876258),List(31222025, 75900562),List(41955117, 89722686),List(97748691, 88485553),List(10480887, 60964897),List(35963011, 61703785),List(1660290, 95546995),List(10496923, 25177508),List(8877493, 83858141),List(5407121, 31415857),List(93539315, 43177646),List(70733183, 80362793),List(16768376, 9363133),List(95768278, 10348887),List(80516806, 44926785),List(92707556, 75935053),List(89271595, 69755123),List(23289082, 41669314),List(40135081, 20059113),List(721424, 21398893),List(45407395, 89691648),List(99879857, 43851885),List(82401710, 49454377),List(34020186, 16217771),List(82321993, 14331548),List(37256986, 56110319),List(37567796, 87558176),List(76846418, 73617748),List(53523624, 66529989),List(67784350, 32633572),List(3415359, 96039153),List(52644400, 44449720),List(64955127, 75411526),List(76373030, 44155679),List(11566692, 5013879),List(74904593, 93154443),List(83035242, 74959200),List(29227979, 60788105),List(97744706, 39482918),List(11704834, 76381582),List(82421442, 36861339),List(42659911, 29180264),List(68880152, 95878464),List(10950806, 53805599),List(1051516, 42875768),List(66442338, 28391862),List(13980814, 5187462),List(67264713, 94865637),List(78073165, 15454891),List(45714698, 61742478),List(81561231, 66618568),List(77064093, 54313126),List(15204656, 45562597),List(98374762, 22978920),List(90786169, 76746958),List(3687109, 60393448),List(43668197, 66566558),List(82346818, 30319234),List(70828326, 42693146),List(41152528, 80908133),List(69529102, 57057263),List(29536806, 18021525),List(79684946, 99472293),List(58387353, 89671497),List(59295272, 17446873),List(36489650, 42332001),List(3754700, 6991859),List(33391812, 71652516),List(76514520, 55355919),List(2576418, 23365928),List(84780844, 10071002),List(90772105, 22396746),List(16282511, 58697523),List(46879467, 61440718),List(95501821, 20666946),List(53742794, 32056),List(26652490, 37989818),List(17610136, 67376092),List(8083819, 94088278),List(21523251, 20033686),List(40510557, 73158815),List(88715157, 71450859),List(26609340, 83363564),List(87446680, 72746893),List(54230747, 11463586),List(70041542, 8628606),List(80997009, 94781824),List(98311219, 15767480),List(46562304, 1682721),List(41580314, 95426712),List(23740693, 84882534),List(40232951, 88720474),List(15309593, 50444830),List(85268214, 74706986),List(92434707, 25786318),List(62082824, 33074000),List(86306139, 87012201),List(35585247, 74694267),List(96267734, 34126733),List(40981452, 20893251),List(11654091, 85626824),List(84191206, 86502670),List(75851991, 55391950),List(87528084, 5745717),List(87577925, 30877681),List(65947405, 97766025),List(40456499, 74711725),List(47632462, 51436969),List(98579538, 70538346),List(83006161, 31967799),List(35562949, 27444014),List(31338145, 96083970),List(83974329, 16570402),List(90634709, 45629404),List(68659536, 63457483),List(92012714, 67904808),List(22683988, 11298426),List(56306850, 29585545),List(84740202, 96509005),List(12428111, 24215630),List(52096210, 97669881),List(41857528, 83497197),List(16279612, 7313815),List(69027212, 31886459),List(37670016, 63221057),List(57312165, 72726360),List(67245523, 89980078),List(6573872, 57691935),List(32930380, 18733210),List(19559158, 91070356),List(36321408, 6332733),List(36196588, 71045039),List(29030124, 64980452),List(99256882, 94638598),List(64102968, 64591804),List(44412075, 84436962),List(82200509, 63428106),List(49863225, 30952746),List(68024918, 45977605),List(60733956, 27154072),List(82157046, 38864693),List(35173006, 55417632),List(97695944, 52501170),List(30782442, 17357982),List(14679208, 14567011),List(57144963, 5813368),List(55976466, 57420930),List(46941155, 2354063),List(36296177, 40092174),List(24477420, 89033975),List(60913695, 70623686),List(4952476, 63682010),List(43973854, 8200120),List(41347068, 66412799),List(11483915, 31071779),List(30903459, 23312059),List(48000698, 20970200),List(30971811, 17119575),List(36606880, 31723968),List(53612811, 55496843),List(17149602, 9030915),List(70805272, 59887224),List(12136357, 82493713),List(7276726, 93590655),List(80971515, 22262514),List(11810824, 98332890),List(19669457, 19518476),List(40713061, 10804056),List(3407700, 61344863),List(56000644, 84453534),List(50802957, 56793495),List(87278640, 67037415),List(72117606, 70486250),List(87632587, 69972212),List(51040122, 58410978),List(90786611, 88376711),List(78886634, 42684441),List(42575120, 48342722),List(42807646, 39206949),List(15792246, 47355502),List(26854044, 66056226),List(92952932, 50113941),List(3549484, 42515598),List(33750072, 67072958),List(41534903, 67844408),List(64009107, 75613907),List(55090972, 13975046),List(92960858, 42545885),List(69699780, 30839143),List(74676149, 9852404),List(91495297, 55153967),List(12019667, 82974412),List(67683940, 4254281),List(95460126, 84233733),List(77930967, 52653850),List(51197567, 4931510),List(62628580, 7629848),List(9231856, 21529849),List(55487284, 45207920),List(65068099, 5608153),List(83789368, 20932649),List(11837565, 22186135),List(91392215, 9020707),List(71827827, 87132681),List(7572440, 30057512),List(52602343, 64108778),List(33116542, 67443761),List(21404632, 352072),List(21496830, 25183632),List(68520783, 44524404),List(98373744, 16561842),List(78731182, 82980148),List(69527099, 52390941),List(21636194, 59627487),List(17764438, 57195260),List(25158903, 77314894),List(7453967, 32388977),List(50258018, 58175597),List(26466523, 71669474),List(88663918, 98263877),List(42778401, 39982066),List(73327687, 91915339),List(40120375, 97840485),List(29290081, 73648898),List(27165967, 6069890),List(13097271, 80445131),List(29091126, 71501471),List(18430249, 75146752),List(64625776, 81504639),List(8566547, 9954838),List(20807102, 66998594),List(40162997, 19569432),List(86090923, 45159726),List(89172357, 47598947),List(42173727, 65179136),List(64344806, 57962479),List(24236966, 44795163),List(64673775, 34481757),List(73093378, 67665872),List(64041097, 84182510),List(34882843, 95118573),List(25123452, 85464360),List(39430463, 84052502),List(30201854, 89449076),List(69916264, 71255885),List(84307670, 53437658),List(21583562, 30019001),List(83236316, 78689352),List(44091452, 88358960),List(94305391, 77512358),List(40388483, 60706444),List(99161272, 4083715),List(34371906, 92047824),List(20027402, 56134364),List(12470567, 45136107),List(25322761, 12445461),List(89678637, 86853363),List(10438099, 33120326),List(37687234, 70048706),List(61289003, 17581262),List(40710006, 20518854),List(51230740, 44897938),List(60939805, 32773131),List(35018939, 15059557),List(10030668, 51125028),List(12049897, 87291030),List(75356875, 32827770),List(67522666, 31070575),List(47145431, 34134669),List(9855117, 2758384),List(4724668, 18439525),List(79010338, 52983150),List(39301859, 39963076),List(23761404, 74550517),List(21530658, 73024085),List(67348163, 32627487),List(220532, 93734299),List(51629394, 99928391),List(35628953, 22159763),List(34998570, 47156537),List(4801452, 15725647),List(78151909, 10610708),List(91527343, 9164160),List(40604745, 34045378),List(80920201, 2288253),List(50181559, 91281282),List(95601339, 23583213),List(80944247, 40420463),List(17500788, 31144692),List(87037470, 40971089),List(70113541, 34454062),List(40950221, 74777480),List(40625413, 31872281),List(25668633, 31436668),List(49765224, 78538063),List(85122979, 55123176),List(33977959, 13806700),List(602048, 25700512),List(81061694, 79999769),List(20365011, 68328234),List(87810045, 44257041),List(73376232, 10011949),List(38189958, 51361036),List(38393828, 9270203),List(22588079, 56785223),List(54607299, 40181783),List(59879330, 82914495),List(84306243, 31254767),List(49957236, 84907201),List(79002912, 66113118),List(66895375, 884714),List(8872740, 58611174),List(72674740, 84601400),List(55141969, 74450698),List(8668639, 80152182),List(81505821, 57313808),List(74320364, 49165079),List(4226775, 91883263),List(26010692, 29514861),List(53045663, 69725774),List(86540992, 53741052),List(41469814, 14588943),List(86441901, 67490367),List(41295257, 35032597),List(89562693, 60939312),List(4742084, 7314411),List(83412219, 14159953),List(6065477, 30306241),List(87630510, 99500494),List(35325907, 67818467),List(79965720, 5416856),List(32678786, 67607554),List(61209113, 47865809),List(87841418, 18137867),List(93642392, 72499454),List(3933450, 23133541),List(76878074, 55918691),List(89196834, 6077863),List(59329431, 62797571),List(80237205, 56145361),List(66930734, 44387436),List(26313336, 94462685),List(70734903, 23360825),List(24403677, 55312704),List(49778802, 83073589),List(39682924, 9016062),List(60114756, 30080648),List(32316266, 15809186),List(45597361, 19485890),List(43208057, 13010442),List(36579886, 18970221),List(4391029, 14637468),List(5735047, 15912038),List(25684600, 11225957),List(42230688, 63734893),List(78469774, 25719022),List(67163415, 56275671),List(87666420, 37564660),List(82493848, 46843759),List(96658331, 89700870),List(83568093, 64620555),List(48221605, 96940998),List(44037140, 7902484),List(4817509, 68905610),List(6360783, 11870113),List(28821255, 22994503),List(19797061, 80363646),List(92504700, 35960103),List(6002737, 84018623),List(51185459, 29796173),List(34020941, 83620078),List(35297087, 95399347),List(67854242, 81087512),List(93786094, 91737580),List(32745699, 71367218),List(61247721, 40157639),List(28325767, 41800189),List(52225673, 35610889),List(56824656, 19460091),List(73035419, 17522980),List(72818949, 98844820),List(99317185, 82162756),List(84160427, 51362848),List(63826309, 90554867),List(42144744, 46589351),List(33153145, 74860043),List(11781651, 4894225),List(44830525, 76005159),List(52614502, 34239980),List(14863450, 28207315),List(48642719, 31624569),List(30910894, 82925725),List(2249438, 35174560),List(83768271, 93700589),List(3858942, 6513146),List(39691003, 63073360),List(24925368, 50012888),List(85081395, 53872396),List(10933869, 36965915),List(86603004, 7775133),List(75454022, 94883923),List(12604189, 92556410),List(93818503, 20536985),List(20205844, 5397071),List(82613505, 13163798),List(47803842, 32450871),List(76053063, 19388373),List(83869941, 66703199),List(33962047, 86446521),List(21231971, 50731279),List(20434885, 58052928),List(87878399, 48730411),List(44776115, 97608375),List(58260881, 27672260),List(3987605, 75195738),List(6480323, 71490702),List(7277336, 77730927),List(57291147, 15404308),List(25454573, 72796634),List(90407050, 20306546),List(10533967, 48226778),List(80312068, 14312320),List(31026163, 57575209),List(4952242, 57920191),List(24348436, 21553208),List(96893508, 51170827),List(10734085, 75761527),List(66040536, 67448930),List(33360080, 84614234),List(56602287, 29914037),List(6774181, 60138625),List(5270613, 94136086),List(11313981, 84992004),List(1063360, 42977913),List(94915723, 33086180),List(47042582, 41166156),List(85709261, 97526808),List(94440265, 19572094),List(80091869, 5844982),List(15221590, 17909753),List(52775794, 1179556),List(44844202, 91509812),List(94234653, 7849885),List(17463494, 25194944),List(89233492, 20235220),List(40394735, 20352873),List(47111828, 90082984),List(81699549, 61169516),List(26887419, 61431430),List(18500856, 92517460),List(45127230, 96661966),List(79165945, 61768966),List(23179555, 62450482),List(88124550, 77035693),List(28864120, 6878859),List(44913993, 56271273),List(45998841, 10022029),List(92287515, 36394159),List(18844959, 38979217),List(19393581, 42942687),List(66439869, 70779035),List(17385923, 12535626),List(27045692, 39098037),List(1740451, 57606104),List(5690414, 41492302),List(1097067, 87716238),List(30336648, 97983488),List(23530735, 51266716),List(34738406, 39467377),List(54675099, 23159933),List(35271939, 36718433),List(53407327, 44313682),List(46400228, 48688689),List(95880900, 622640),List(79655612, 21898942),List(58546363, 64038070),List(6582860, 27002338),List(42420947, 40333515),List(18513339, 56948931),List(22741830, 29235531),List(90626061, 73292651),List(97148754, 46933547),List(4604291, 73791523),List(54976154, 75286629),List(94961793, 62817827),List(48630219, 31882641),List(83126759, 78153483),List(67170753, 28847138),List(81261252, 35902620),List(91104103, 99493571),List(87291099, 69576881),List(31885889, 33962088),List(36669043, 7491174),List(35989187, 12740819),List(47908266, 80702425),List(34141340, 74534174),List(9245657, 49106316),List(63841610, 19069751),List(33864874, 56514497),List(56924226, 94023290),List(86417227, 44690873),List(57588828, 9786514),List(86488827, 84747864),List(13003112, 46278281),List(11457091, 96179032),List(46051122, 15423442),List(32879693, 8241557),List(42974259, 7960073),List(64455090, 88588779),List(512373, 76523013),List(45682218, 84456578),List(80503034, 34645704),List(31810046, 18552012),List(99171120, 6032956),List(63128865, 30497701),List(21836740, 27249256),List(71017744, 41426803),List(38825400, 13399574),List(14772740, 32207180),List(60676543, 73526323),List(13514911, 52640346),List(31968523, 9746060),List(45758358, 34783005),List(61538817, 29387177),List(27923382, 33919952),List(75725093, 1170934),List(41568884, 48922763),List(90593040, 87018234),List(35828944, 2502830),List(38971298, 27096073),List(56589751, 40330627),List(85434229, 79380097),List(74127167, 11533278),List(80547431, 23733677),List(55426040, 30165731),List(14499800, 60986104),List(64161109, 37575521),List(10294282, 26552137),List(62498279, 87124332),List(21684793, 90820985),List(78883529, 42637003),List(91936682, 35613753),List(62018493, 3511321),List(30144446, 92677328),List(52595838, 60118050),List(39854065, 29535195),List(54327721, 31342061),List(4499980, 55293303),List(78431261, 86312039),List(57019331, 15444717),List(96332878, 58674324),List(95032579, 31318075),List(14366320, 51851397),List(83919457, 38817030),List(24400027, 60126482),List(34677884, 55578378),List(88600671, 82992552),List(48512359, 12574514),List(40002169, 10245158),List(55906030, 20676158),List(72868418, 86309597),List(52117512, 17544734),List(8015145, 79105219),List(38366750, 76890828),List(15872491, 11738888),List(17787150, 26353030),List(9647154, 93818988),List(82084342, 3209463),List(59858467, 36699093),List(47215748, 93070391),List(79973202, 4927344),List(49735424, 61975900),List(73189731, 69775423),List(77096775, 11385214),List(67281131, 17979130),List(5383759, 17870712),List(68695345, 4536852),List(98943214, 17637933),List(88745564, 78140269),List(88430716, 84111304),List(62439734, 67682814),List(4575545, 57550204),List(24811184, 1040630),List(50269412, 22033143),List(55621208, 36816704),List(43209954, 80648835),List(95147974, 9301560),List(64140676, 83037514),List(4667847, 83812167),List(20043777, 45498131),List(71752011, 83277816),List(25893737, 46286061),List(75102357, 2971029),List(93220064, 14727067),List(34445201, 23952367),List(21703104, 96855724),List(143347, 73851345),List(36882819, 48587702),List(41679821, 37509799),List(86420861, 35410554),List(36135230, 96836230),List(22158160, 97084311),List(11820916, 44195022),List(78705858, 88615566),List(3997358, 17217336),List(54418483, 57896546),List(22691068, 97200332),List(86205156, 57823855),List(84912001, 59942301),List(8899699, 2083174),List(99352205, 13840271),List(77904678, 60932304),List(93104800, 60218780),List(61382252, 91119085),List(27792625, 45161440),List(93727554, 54530195),List(45444839, 25795087),List(17370281, 15757842),List(84051993, 58140760),List(52706363, 55761923),List(52408412, 55512144),List(76357930, 10525013),List(82938286, 76847797),List(74262939, 25444552),List(52200006, 23055988),List(66690618, 93716552),List(61642170, 88628958),List(78301397, 28272207),List(11203812, 63747831),List(67364583, 28210868),List(17545350, 97493199),List(69187122, 52603639),List(14219878, 59070427),List(16249423, 16201457),List(36023384, 33587333),List(98576800, 4618201),List(61881488, 12641469),List(7261545, 85593941),List(64200541, 95730304),List(28011861, 79479572),List(34474929, 21230693),List(12284658, 95092185),List(64208404, 32003454),List(54439144, 43375404),List(10480290, 45702214),List(18040150, 51730177),List(92153509, 54955799),List(42020099, 23811362),List(84669740, 63647548),List(5870227, 94567471),List(74569028, 35921810),List(7985698, 65999449),List(55168274, 76790691),List(92862285, 36476303),List(99846463, 2444075),List(39197188, 20970323),List(2158870, 36482694),List(46913599, 74956857),List(56519860, 62289608),List(59141526, 85417863),List(37305076, 68319694),List(96078413, 60841033),List(91181932, 35232521),List(51547826, 57314596),List(84306166, 48517712),List(11504658, 85048061),List(55343597, 95848670),List(36107937, 45279468),List(40224885, 20385544),List(39303160, 16764083),List(40020365, 91976700),List(57599636, 62553151),List(43459848, 36707052),List(82930775, 7475223),List(42758775, 80458337),List(84329139, 42648153),List(66217546, 19118798),List(15356853, 27574260),List(18245155, 96372400),List(56119862, 40870599),List(49473791, 12469573),List(7720011, 89718986),List(78138313, 44528162),List(38058626, 46027457),List(65672599, 75420294),List(45441964, 68130677),List(13639537, 76225781),List(35920704, 19460677),List(57947319, 19415312),List(79573625, 8850639),List(26443724, 91808500),List(38586669, 81141106),List(6014552, 42393662),List(92782514, 55077351),List(81582250, 86520414),List(17167859, 54770885),List(7545444, 52285525),List(93914118, 75746038),List(69166385, 2414240),List(90290472, 97311478),List(45014277, 69351692),List(64470764, 91103672),List(25051719, 727436),List(86978713, 77502351),List(84518747, 79936367),List(41300361, 92950842),List(30254059, 82308213),List(98912478, 22530133),List(21385995, 11987026),List(71553303, 7515904),List(91669229, 10554751),List(17283397, 99064882),List(32898600, 15439154),List(3075762, 72091898),List(8365033, 67853876),List(49283395, 27578072),List(53562311, 9387897),List(98958107, 22654241),List(40140303, 34368219),List(53504757, 25063498),List(52845530, 8391804),List(15973981, 40091922),List(63725036, 53778941),List(7840772, 69761674),List(51642408, 8085656),List(68026780, 26606185),List(78751851, 87544002),List(4272256, 54252661),List(87578403, 47057126),List(63944052, 37285324),List(26384485, 37764150),List(13678976, 71313625),List(67306763, 72127031),List(8252344, 34680627),List(44652012, 57445361),List(63510938, 11547774),List(12260815, 94676819),List(47008325, 90659453),List(68592387, 18699226),List(93464449, 98858865),List(53222479, 40741236),List(19602758, 82983276),List(63345961, 72517440),List(23082117, 3457701),List(15878572, 46370679),List(92803146, 526603),List(9542243, 44778555),List(95514681, 28560526),List(8507939, 9813004),List(57325982, 13555416),List(95491682, 8945164),List(42893516, 36746236),List(13442808, 64288971),List(23656988, 47762463),List(99274370, 20399009),List(10270242, 70426313),List(36300771, 84048292),List(68745293, 81490326),List(38989888, 42333887),List(98304177, 16399375),List(39538754, 52668152),List(48690249, 93029241),List(97364467, 60846734),List(65897561, 7104299),List(23262600, 42858745),List(98871614, 67669131),List(65412168, 28506256),List(5419850, 82469831),List(43886527, 34984639),List(35542360, 14901026),List(73829296, 52006516),List(19157449, 74223533),List(36735513, 69222218),List(16027956, 98360663),List(66014226, 71371562),List(30554217, 95192132),List(45281359, 16737103),List(45688880, 72414241),List(86270667, 81398101),List(96561381, 67076386),List(46819091, 44969119),List(12758459, 4159121),List(82162965, 28794584),List(99537929, 9189230),List(47640228, 31032865),List(26685970, 57611342),List(54315290, 57585592),List(74366032, 92806538),List(88249526, 47151616),List(66956439, 3312143),List(88828960, 2138484),List(2751658, 3363240),List(79857264, 94448196),List(22390430, 1470107),List(69298905, 93886383),List(15785171, 28828817),List(13808334, 5403782),List(22480008, 81136586),List(52914026, 46849331),List(20751559, 4276529),List(26341159, 63216276),List(2387437, 12027203),List(1952317, 70322787),List(86904091, 97860961),List(46779212, 41013865),List(36360865, 66157866),List(41020722, 54530134),List(81911674, 54304833),List(25407485, 95985525),List(76029260, 96245350),List(94159266, 42841659),List(78415629, 20383474),List(49733047, 16564360),List(91093421, 45648422),List(93680055, 81402150),List(14822827, 84815586),List(51193615, 38665129),List(61952365, 61360363),List(6225587, 51275918),List(95550062, 88921613),List(96400267, 96946222),List(42858817, 34863333),List(75322648, 75313760),List(24644324, 38288334),List(6013997, 29981442),List(61086465, 86472237),List(23239314, 95051588),List(47680808, 81155560),List(23701543, 52443806),List(46293216, 38032523),List(46756459, 5005156),List(29732594, 76260852),List(23459244, 36998317),List(11807719, 63963899),List(24247135, 84706080),List(47558235, 90383121),List(25907205, 40858872),List(82600159, 11317146),List(14112176, 55794950),List(952475, 50150992),List(79464054, 24076037),List(9789261, 24511693),List(72546988, 50235559),List(43703982, 48376897),List(81775944, 57446537),List(19750670, 63420478),List(90803682, 99555567),List(62755858, 89577670),List(72678953, 54918331),List(89486612, 48848161),List(53595648, 76072846),List(25530351, 16035022),List(79275423, 65550646),List(40964934, 94337318),List(8297544, 47070794),List(60766335, 83871021),List(75126715, 99574382),List(34489577, 27809924),List(81701802, 7991631),List(90871126, 99834181),List(75357229, 20447719),List(25409835, 15306822),List(34282357, 56228138),List(46503682, 11620421),List(47987935, 19823993),List(84307318, 33254175),List(5399860, 73848420),List(4219458, 70053004),List(24976916, 725173),List(75012966, 37722022),List(39806688, 473373),List(24539877, 54665161),List(22494612, 62244139),List(38768144, 27164141),List(58156968, 75390467),List(36655903, 82113374),List(74754804, 87622484),List(38171892, 93692032),List(71707786, 65635216),List(59944355, 17390272),List(20412015, 35394919),List(58786211, 81258770),List(69002055, 65200286),List(53708110, 50532209),List(70310469, 54292472),List(26204948, 63901852),List(40549922, 71058614),List(78022251, 47920888),List(59152116, 72758590),List(68781902, 78131377),List(89082984, 44005965),List(86146321, 36901962),List(45976515, 95865947),List(35017362, 56902424),List(98768031, 15036810),List(21548948, 73236968),List(97050531, 75177396),List(9161696, 6438009),List(648400, 28724844),List(10424732, 67187850),List(41795364, 22563285),List(50809943, 50487003),List(73823140, 81409288),List(15714839, 71796815),List(38175691, 80862141),List(41235874, 75076044),List(72090763, 40537420),List(80622522, 45682801),List(7069724, 61017521),List(36892966, 83840263),List(85176382, 48085163),List(85903179, 21010286),List(97436706, 92522319),List(60804811, 37051255),List(95274883, 36959690),List(83204280, 64310752),List(10573013, 77084692),List(9578045, 36375272),List(34087527, 25247575),List(12883741, 88185481),List(5071754, 36236468),List(47415204, 77276579),List(82609364, 94964215),List(97261114, 3698965),List(44159337, 33808443),List(17030816, 1121426),List(15388396, 84462944),List(99400454, 63285048),List(36871364, 86378994),List(70433545, 6230121),List(17982449, 60145472),List(73816779, 82951699),List(79594045, 36631859),List(53697579, 27629991),List(52800386, 60449884),List(89256500, 91469971),List(6208542, 50079709),List(80111591, 26320865),List(99879501, 40291421),List(82474062, 92819607),List(20228097, 65202203),List(26151141, 14802607),List(87100200, 95582647),List(18649204, 6003781),List(92979921, 99551547),List(95311581, 6510425),List(67059430, 82982765),List(31770885, 28994563),List(51325061, 30033105),List(22325040, 11795805),List(95770671, 15524924),List(764515, 9846414),List(21905223, 28871790),List(7977588, 21888600),List(52624543, 66794386),List(27592316, 19651004),List(34056999, 40692355),List(80432192, 99832740),List(34197862, 87744196),List(42595040, 29839632),List(58444888, 89759382),List(59117136, 93688867),List(7029883, 30256082),List(99775151, 37381604),List(95165523, 10633999),List(45774087, 69175416),List(87336275, 13967008),List(75343637, 47509380),List(17092966, 33893989),List(96878465, 8443070),List(6587038, 35868771),List(61950793, 95995486),List(36981719, 83185507),List(16971675, 62474604),List(87702873, 80877336),List(36090494, 70807167),List(30552048, 30589439),List(1591787, 44653501),List(3173207, 21432669),List(46266157, 6699617),List(38175307, 57823822),List(32820432, 91070336),List(71561428, 16413116),List(55247896, 37397642),List(36821637, 32312805),List(31360971, 44413142),List(43259585, 83981618),List(71109422, 2735147),List(25581452, 57389047),List(15060877, 95782634),List(95741403, 54916996),List(58324499, 76916304),List(8975227, 4710578),List(14363380, 32781673),List(9656855, 92094459),List(83390957, 61197634),List(59627133, 72877378),List(32541188, 88434136),List(47083487, 4410661),List(37849055, 45298599),List(44323787, 66037821),List(33376887, 90023662),List(52882753, 65970596),List(30962922, 12269442),List(84841726, 15556213),List(69821126, 63523197),List(94839496, 82475924),List(41448119, 24524584),List(1994891, 9680751),List(15120168, 13938933),List(69235384, 48266321),List(19726523, 90418556),List(72147211, 48744240),List(84864105, 85126040),List(75200996, 1967431),List(86098684, 34870469),List(35087011, 40426886),List(36873284, 97486814),List(48295835, 45169763),List(64603045, 54612785),List(52570549, 66769822),List(96273572, 60743237),List(6847393, 14050678),List(41481914, 28111143),List(39790306, 96154677),List(21960089, 86147971),List(61991885, 97823934),List(39680050, 48158374),List(96024204, 95792746),List(44437246, 1373809),List(71568616, 90310968),List(28564456, 18607620),List(74510607, 95988547),List(9786469, 7131547),List(94960841, 85723266),List(66064185, 23120224),List(53563161, 26635025),List(6049824, 86335078),List(70959335, 41692236),List(56243466, 57244995),List(12161586, 44141753),List(1649512, 78706798),List(16890053, 8264180),List(48161859, 90562736),List(36961304, 54484591),List(2157655, 92086580),List(93044669, 61675415),List(88886, 62263007),List(83507844, 7641379),List(22418276, 285647),List(54647765, 27263376),List(47612257, 7102467),List(52039419, 79767577),List(65046739, 9899871),List(53674211, 20601182),List(11495390, 80399243),List(89223387, 56452142),List(25403164, 22472491),List(85828880, 48351350),List(93485179, 38912041),List(82000504, 80917883),List(53570708, 63255403),List(28739238, 98291929),List(4970840, 33098248),List(626267, 60807841),List(92384801, 41143808),List(9126609, 4256821),List(89175883, 47726288),List(40141765, 75119396),List(49280859, 94109873),List(29396837, 25974950),List(66460153, 41674694),List(55640117, 29864779),List(90133266, 94128799),List(46160503, 3012940),List(80662912, 2732151),List(20134937, 93732033),List(52760846, 25944267),List(56114143, 91001365),List(18425845, 55833877),List(33202879, 78826842),List(71107009, 76608222),List(78970829, 76434458),List(59453529, 54204241),List(93810242, 52783632),List(10296333, 38267119),List(11832100, 26156301),List(50441615, 53373520),List(72058889, 45837694),List(36016662, 13151806),List(40352520, 50498503),List(11256753, 45812514),List(95992481, 84451035),List(22016792, 47247854),List(64599130, 53357847),List(16466741, 63406540),List(23727890, 48518852),List(22473509, 40877420),List(33889663, 11731954),List(82260631, 44746414),List(2014828, 31440953),List(21831862, 34937705),List(49129474, 11536457),List(31378647, 89300922),List(49154052, 98205549),List(64557257, 69634311),List(8002967, 65418003),List(22090514, 69427842),List(76162726, 6446746),List(78926294, 44986071),List(10317191, 82870740),List(19538447, 74456174),List(97570658, 26263649),List(32612485, 42919745),List(27119006, 41815513),List(80466752, 70882129),List(23576056, 20760602),List(6313626, 10901471),List(60143583, 77272899),List(87409925, 594952),List(96800067, 45179535),List(19660373, 47722455),List(14847396, 71484029),List(40252818, 1675011),List(50774422, 69058407),List(31267512, 75837821),List(18849339, 22646052),List(36183215, 52747815),List(36455698, 53385346),List(79711290, 34247396),List(36189864, 29229459),List(37066740, 62000770),List(71192200, 21441216),List(89547535, 60401652),List(50774453, 5922897),List(64895663, 50748302),List(78721783, 55413870),List(80272849, 66391031),List(15812291, 20941497),List(40770745, 32369668),List(98883334, 15574762),List(16343144, 33829360),List(25797318, 68405108),List(94801034, 98768954),List(26345243, 57830032),List(42650232, 46068557),List(96883939, 72821856),List(51763053, 57130203),List(37424309, 33652304),List(68365604, 9775935),List(65365232, 26247111),List(19455317, 40530940),List(73976695, 88706494),List(54000203, 12008074),List(65622030, 21853533),List(98006374, 46696922),List(36251788, 63400682),List(20606630, 87118079),List(22763098, 81533892),List(57740897, 45715694),List(53949917, 51078975),List(24988557, 9140534),List(8222867, 20999488),List(11826775, 10846380),List(86487024, 71412996),List(43444503, 21926880),List(90191216, 91100919),List(31617134, 28525566),List(17430455, 69689723),List(34090149, 81029394),List(36826381, 62322957),List(52924743, 61476803),List(98626381, 66734358),List(6372146, 40230899),List(18846371, 76477608),List(25808677, 65727676),List(54926016, 81094173),List(96858274, 34729261),List(20196780, 61803095),List(41185405, 18080339),List(90466330, 87098971),List(22123515, 26842301),List(78709094, 67473195),List(30292290, 80891304),List(49462282, 79204129),List(14295980, 50224518),List(54872069, 57600071),List(21955454, 16872359),List(45672308, 32277766),List(51806049, 22514885),List(53155706, 51230566),List(49108420, 60235989),List(18588268, 4883655),List(34274736, 10489827),List(48530334, 66311859),List(59861956, 83105640),List(30166436, 89680320),List(86860025, 35236103),List(11780554, 86589742),List(75235605, 28290793),List(6116169, 21187198),List(62402606, 50666995),List(84578534, 68208900),List(79487246, 79094452),List(47571733, 36238809),List(62523514, 65971963),List(69692447, 49570472),List(9233669, 86834877),List(4324361, 69603299),List(18854081, 38968217),List(88581544, 28781992),List(53728864, 29010959),List(33936172, 27912743),List(65993219, 72643167),List(89055008, 90738386),List(1757166, 26876089),List(63306761, 69866649),List(12270126, 69660087),List(738903, 448560),List(71057186, 68705758),List(45840126, 79663576),List(70661434, 25021681),List(1458140, 44829622),List(297257, 84452920),List(4214234, 77788977),List(12217284, 88901849),List(42694700, 40563654),List(17994429, 99353927),List(83480632, 31966202),List(11527227, 53223636),List(80019999, 6750762),List(42006107, 586420),List(95452653, 68645216),List(75589456, 9446958),List(28785595, 94946016),List(41443259, 85484707),List(2552029, 7747914),List(68877766, 86637581),List(89503263, 49110256),List(8211028, 39093280),List(2219618, 38989264),List(15193457, 24791335),List(5527807, 2556696),List(96763248, 95349609),List(16610608, 77549921),List(11457530, 51314071),List(79409992, 96733580),List(38513550, 67935327),List(66590716, 89259413),List(31708657, 95822262),List(94406961, 98307096),List(11906321, 55587392),List(71492010, 35237602),List(59116065, 81727574),List(47259454, 37971622),List(76908592, 93769429),List(5123610, 2283774),List(88229401, 17839875),List(92300499, 7113218),List(31967960, 67106008),List(34147893, 75441524),List(21235989, 57048977),List(57396268, 75082956),List(62731484, 57245808),List(46236713, 9543986),List(54815620, 10694765),List(53114642, 86430857),List(44050292, 48970533),List(10343404, 32253426),List(80155415, 2556599),List(51974217, 74523409),List(58623259, 56428218),List(91442527, 6429249),List(40842233, 95749494),List(70225703, 32704717),List(78997966, 40581973),List(19365315, 17411052),List(21401245, 92966711),List(53625182, 36322334),List(6623637, 88937552),List(45764132, 13234078),List(68705630, 73233724),List(93558150, 32807849),List(60641678, 46679983),List(93946903, 51707281),List(55630800, 74027736),List(38569805, 99492682),List(12731593, 8666708),List(62689296, 4932397),List(5369866, 92509353),List(84313369, 50704880),List(98123365, 47764356),List(26909956, 43925704),List(52349816, 92002940),List(28313778, 34141073),List(61677805, 80200009),List(21732893, 13260474),List(85722530, 13420170),List(68736621, 79316044),List(14176259, 84755727),List(26247245, 48984489),List(427960, 40649687),List(59991151, 42862467),List(15483078, 31750725),List(17438702, 58914778),List(65047638, 81509812),List(16957616, 98326189),List(52904159, 19501629),List(81803574, 40863743),List(32136542, 65746678),List(59342428, 36119186),List(18234193, 10160908),List(63930293, 3763994),List(34068232, 89793776),List(95231896, 14644599),List(18809979, 48435777),List(26936129, 97526028),List(35985491, 46102158),List(36510081, 86193188),List(27697292, 59662867),List(50135761, 67405059),List(56789453, 49949199),List(9184357, 62060127),List(15063421, 5850177),List(19853440, 53172778),List(44561987, 1825287),List(21277399, 41949136),List(81330833, 58543757),List(2612870, 94574531),List(59606103, 96903695),List(57193442, 22534916),List(26322583, 3740395),List(47003494, 91668521),List(5534140, 52071890),List(23185249, 76185588),List(82325775, 51056995),List(87132931, 38793333),List(11532432, 43744918),List(16078584, 35387646),List(85891494, 45397373),List(54969475, 60630920),List(64070029, 35106923),List(25458708, 32744557),List(33411033, 55738193),List(79765625, 2905994),List(62865640, 14896960),List(58659131, 25297575),List(20337845, 12429018),List(50737464, 53048843),List(18688286, 53210258),List(36857864, 6992575),List(36180106, 34560746),List(76649085, 93341210),List(39207719, 26965296),List(99361249, 36758854),List(43600473, 48906850),List(46790875, 76888000),List(16719877, 73509322),List(76244701, 56197575),List(48521877, 70153979),List(40468679, 5053075),List(77673620, 77955902),List(79109017, 74302664),List(48856621, 26202636),List(67867701, 85472190),List(16812164, 9833213),List(27910630, 90817509),List(4495935, 12115397),List(94875646, 32640618),List(63758202, 50528123),List(63705989, 37107102),List(8973538, 19228942),List(24168827, 22522498),List(77100206, 96850362),List(87583526, 68853164),List(16248706, 31598255),List(8833618, 12261592),List(4762756, 54316575),List(37448041, 77945611),List(74184643, 19830273),List(56927605, 61920947),List(74721118, 51668492),List(53263124, 25540618),List(41359004, 47582280),List(92203062, 28279192),List(74875659, 91981911),List(90287602, 82572158),List(37569116, 83457423),List(43653954, 332058),List(67622332, 95981762),List(2414224, 51039928),List(28209687, 65834423),List(49633871, 46715118),List(16146026, 99381741),List(40346448, 29031974),List(46766938, 5147533),List(87102438, 92194929),List(81043293, 1004586),List(80608043, 11657846),List(48859561, 30166496),List(3575708, 62392174),List(16001683, 58713677),List(98837204, 45313847),List(18687723, 81160262),List(61915984, 6105850),List(84340032, 32325756),List(76725490, 3704821),List(25942327, 83326393),List(37117308, 15625427),List(24247277, 96427721),List(80429504, 65000548),List(80677747, 9590156),List(5904356, 21306318),List(27279915, 96323762),List(72631989, 20941221),List(82500326, 3400661),List(41119245, 79086522),List(20576797, 15519445),List(38982165, 56320221),List(92586950, 87476685),List(82500815, 71198249),List(81373226, 25746968),List(58135854, 50866492),List(29177854, 15551539),List(45382602, 58915493),List(60339232, 2981026),List(54108773, 97349308),List(97470013, 19270055),List(58604570, 65489368),List(59558459, 63460734),List(83030029, 9877062),List(96911007, 50411986),List(53382639, 20754453),List(30894048, 45440929),List(40790673, 51325290),List(31522422, 70657654),List(82065718, 22095770),List(53324226, 83916),List(83934230, 97217030),List(98699320, 15841637),List(35286567, 49816885),List(47941653, 86906754),List(50385283, 57514403),List(84566845, 24610286),List(20187982, 59610157),List(69163168, 56658091),List(98803875, 62093434),List(29146588, 10224258),List(72528225, 83496212),List(90192589, 50075146),List(1833629, 45252469),List(76268637, 26995719),List(28297742, 20922725),List(34320559, 46761308),List(66355275, 92616171),List(47970115, 25607939),List(14990082, 48688774),List(45765614, 49408530),List(60658706, 37515922),List(21505268, 83838897),List(13303176, 79476683),List(45508170, 14177167),List(75592151, 79356929),List(65531712, 67145389),List(29305205, 5226501),List(1266542, 26204442),List(87386032, 17079776),List(46118691, 56419918),List(55469213, 46583019),List(91070263, 58799038),List(30367824, 98718198),List(21122917, 47667416),List(12028153, 22485111),List(41861573, 77976930),List(50246375, 11195595),List(47593723, 60346637),List(5855503, 29825840),List(89863198, 20333286),List(34332658, 88241392),List(93117802, 39037868),List(93395264, 64965675),List(47708625, 73466279),List(30360743, 614736),List(11920761, 65531783),List(43368845, 25905537),List(24299383, 60452673),List(10474265, 49016642),List(23143267, 96644476),List(72186180, 11035351),List(94588964, 95438377),List(62749080, 84417082),List(80566198, 59119253),List(85053519, 11564094),List(1635730, 57412438),List(21397404, 50054770),List(12170711, 87472359),List(62335834, 53819741),List(16884920, 97747636),List(80061557, 40654349),List(75888431, 88689922),List(16928021, 5036653),List(87115342, 31743328),List(55723133, 26262502),List(81513182, 46077460),List(15901309, 67496590),List(79746035, 44419798),List(68758352, 98606888),List(29860161, 54083476),List(96839259, 57412807),List(3853994, 66230771),List(67371198, 5151630),List(5351791, 54349280),List(5981705, 49829414),List(96088038, 4530641),List(55771192, 95805486),List(86032361, 35307321),List(33341943, 13572971),List(20736448, 60277885),List(57608037, 24635859),List(80428130, 72509687),List(77390323, 48780629),List(34743276, 4328055),List(36959969, 49851738),List(17809741, 48878441),List(7452448, 21515208),List(89875418, 30506779),List(39391207, 76666546),List(47327322, 20032205),List(36285153, 57657413),List(80581032, 74999151),List(4262705, 74479063),List(12446489, 30851724),List(61021100, 94401027),List(43399148, 17315052),List(84005709, 72454989),List(29552938, 58107182),List(70572584, 62584616),List(3823733, 13275394),List(63644881, 26486598),List(81817265, 31897139),List(86660652, 3554221),List(80271770, 85686002),List(9491500, 77387699),List(1248448, 76173335),List(88258816, 67869900),List(74262348, 21122337),List(28590710, 61308837),List(37613362, 16551560),List(33041970, 47495579),List(37342581, 99319952),List(99514535, 7906581),List(57167163, 26330517),List(19288455, 36398772),List(45465574, 22486977),List(72812906, 5884282),List(57502001, 28015489),List(22587022, 91013353),List(13255709, 55721977),List(6121370, 66840550),List(6062938, 66755250),List(12593921, 9550432),List(80293722, 24685567),List(26422643, 39633204),List(39800784, 21062752),List(77822545, 4746823),List(52086319, 67754178),List(78508550, 15180828),List(61709657, 10983433),List(90436050, 14974614),List(70684305, 79842875),List(92165193, 29874134),List(10155452, 69889604),List(68642970, 23612054),List(7973190, 75546916),List(67770290, 68385533),List(8201951, 82005638),List(31850741, 28404538),List(76946664, 34557509),List(92568289, 19567510),List(75106350, 6389849),List(74148315, 65634422),List(54322086, 7124128),List(51988525, 28734406),List(15084858, 1008892),List(69249863, 24679331),List(42407441, 71996735),List(24009660, 26443141),List(19862139, 44704659),List(905772, 2057726),List(1293007, 46935034),List(7053033, 9532706),List(5850849, 65517088),List(57102478, 74669505),List(88200610, 97259149),List(9055226, 64486691),List(93945681, 53911641),List(21988320, 1338666),List(12674420, 19191455),List(54994312, 9403030),List(29226068, 55859751),List(44513272, 17504108),List(19184402, 55114430),List(49952395, 81278122),List(52012157, 21919225),List(64302598, 64361841),List(42534161, 68010077),List(91938154, 57781493),List(29060918, 92450342),List(75334392, 13912938),List(54475830, 83041627),List(43407954, 55477955),List(56587171, 35294977),List(38482131, 32838416),List(30783853, 11549130),List(11017198, 15753755),List(29553723, 47288098),List(62261163, 93653643),List(79900415, 57581218),List(91456164, 26272009),List(3007727, 52861102),List(41838557, 25554217),List(15316994, 9457849),List(22177927, 83518648),List(83045821, 32919285),List(34161095, 65435240),List(57465966, 13288177),List(94690235, 77794056),List(29629648, 56889319),List(4928157, 48679487),List(55324275, 45169613),List(60124629, 15177067),List(57361081, 17009638),List(51826825, 62047065),List(51782555, 76001674),List(56476558, 86709112),List(19346756, 50487032),List(89341869, 51173659),List(70579750, 51901688),List(23946477, 16710125),List(11130505, 36679544),List(20276577, 61703136),List(58179248, 38453744),List(21056759, 58946596),List(89227532, 49543570),List(18622182, 64662906),List(76638872, 76220977),List(3428579, 59122479),List(87487614, 45844999),List(58095772, 11601824),List(53674039, 72853455),List(6967619, 90940350),List(92217561, 97421877),List(40889284, 81814363),List(64163903, 52610466),List(11844833, 43260054),List(82330476, 33322154),List(44014319, 88099334),List(71233865, 67874527),List(3461350, 371426),List(88895166, 93329573),List(51400516, 4944908),List(60257861, 48560451),List(25296078, 33380260),List(62840405, 65148372),List(47091716, 82156566),List(24592933, 85823174),List(16137156, 63704414),List(33041554, 10347780),List(23510640, 30384306),List(76888646, 14572818),List(36191084, 38199289),List(66378271, 36615099),List(90575617, 29831085),List(54740270, 19803653),List(44981424, 6046441),List(15896382, 32805639),List(70413812, 19836384),List(36759372, 40007327),List(58610829, 66613054),List(21243807, 83118510),List(19697168, 71692231),List(47827059, 38052843),List(74261501, 9071627),List(74422198, 46127560),List(34933952, 63646874),List(31984709, 2159896),List(66956254, 92056160),List(83094909, 13375162),List(45489724, 1115174),List(54096034, 28800389),List(72696779, 92076607),List(4927421, 22076560),List(89184894, 78819680),List(65866813, 11648415),List(48476190, 29112464),List(30267821, 50129793),List(25339644, 61222834),List(43226463, 8961665),List(45867925, 81712828),List(56216577, 8831523),List(86321316, 37315877),List(76480756, 8983372),List(98724743, 38741937),List(53827543, 34180000),List(82861427, 89100279),List(65999767, 55518016),List(42918793, 22891548),List(30927835, 19941981),List(42992395, 53542691),List(8598863, 36016170),List(96575767, 66871148),List(85219950, 68793086),List(77546127, 76964038),List(30103841, 84851048),List(63391591, 92410238),List(38052995, 41957842),List(38280974, 93290690),List(18894436, 7430570),List(64580385, 26194449),List(84087131, 98976885),List(63190668, 9700385),List(24343873, 37314884),List(77301178, 44965159),List(8301033, 90690427),List(6148120, 74651909),List(88904656, 39786121),List(52866529, 9412570),List(82805283, 99567277),List(94628792, 86555519),List(69857087, 18671972),List(64508623, 24998718),List(40614242, 36191440),List(81817279, 78941197),List(30877217, 15198759),List(48772437, 2017528),List(10770319, 13567411),List(79839480, 5007312),List(17910560, 49577866),List(48129994, 10675488),List(61990248, 91983303),List(7186718, 16071029),List(93635370, 53077837),List(49883630, 44773767),List(53512362, 81322421),List(11460966, 68311445),List(79839721, 3314137),List(90902607, 78831165),List(23837004, 76726976),List(30387844, 52796339),List(81526002, 32336166),List(20503306, 13484085),List(90504130, 57836010),List(79251655, 11245574),List(75172028, 99653518),List(73694840, 62612614),List(45253780, 61501071),List(43351716, 21141750),List(74986035, 27816170),List(39314598, 13219728),List(22732973, 52188729),List(71564300, 19584883),List(9025738, 28676785),List(53568540, 44167257),List(27549887, 78037385),List(29004943, 68706477),List(50198903, 57625391),List(36238387, 18650658),List(4326672, 89971477),List(70077613, 84840889),List(28276874, 60601686),List(53329529, 58141767),List(80060389, 75794492),List(40742653, 91922779),List(58686756, 54601324),List(17887561, 2487199),List(90997720, 75206041),List(40345339, 201581),List(44637838, 24302634),List(30795293, 60982286),List(89867334, 8752209),List(92479043, 56426710),List(58131730, 3246446),List(16430214, 20563415),List(50152280, 29578501),List(7602572, 74723042),List(26431731, 45935736),List(46709619, 49075750),List(43902910, 45032850),List(35043137, 21957964),List(87946949, 74310953),List(99263508, 66502622),List(32650566, 59642959),List(19782357, 66862352),List(8566188, 13717278),List(13840816, 9137122),List(55775632, 37552667),List(64737654, 35155319),List(45976908, 59747043),List(65603037, 46830631),List(35615647, 40762216),List(57848581, 51691834),List(47068091, 94027930),List(77421213, 9233272),List(93832135, 84229051),List(20478466, 36276267),List(25894100, 85434752),List(50192043, 79000915),List(25962898, 63041715),List(47579412, 63575440),List(24847686, 57263046),List(84551590, 94289252),List(21440370, 15121218),List(28544584, 85599082),List(11379744, 92173274),List(33644643, 50434193),List(73050271, 73769706),List(18954737, 60465033),List(8454812, 36214541),List(43232733, 53901682),List(39330138, 88523953),List(89491489, 6985294),List(43584443, 25867652),List(3382146, 46246977),List(57922168, 19947297),List(52440655, 83658419),List(43858598, 34551345),List(66156136, 53978690),List(67000139, 50880610),List(32433185, 88623346),List(37115135, 37442357),List(77214250, 50008415),List(16758625, 72551228),List(87404200, 53468557),List(90352568, 65360246),List(42629982, 68892765),List(37633153, 83093961),List(65239141, 10285707),List(33498433, 2667071),List(39462735, 63175530),List(86503421, 54219353),List(32934481, 23765163),List(27514518, 97156559),List(82592513, 68066759),List(33321356, 90520394),List(58778399, 68845123),List(12770292, 78415942),List(65543194, 57363928),List(86516431, 9294756),List(90865026, 35859838),List(73114836, 4995413),List(79258057, 25512059),List(65899424, 11473463),List(27643854, 71702759),List(7841632, 61671278),List(11348581, 4662304),List(95147709, 31071301),List(4615235, 63229439),List(77236286, 1326228),List(55060400, 38530240),List(97754192, 67549055),List(11540840, 41332336),List(92917942, 3586732),List(89808572, 62374498),List(96964409, 61964711),List(15942992, 90253554),List(31408187, 1590369),List(92111310, 82776092),List(45859817, 83885548),List(99488322, 5636734),List(65319671, 31505779),List(66868832, 33853350),List(92476588, 26169713),List(29740182, 39557583),List(44419179, 6535699),List(20688293, 99031195),List(72603479, 6484579),List(4459799, 36636282),List(11776979, 71768301),List(11014946, 53446429),List(6596333, 61620657),List(83951879, 22363748),List(78860901, 7429963),List(960799, 38705369),List(97801893, 74798706),List(53169859, 55144215),List(41181573, 30691089),List(83154178, 93918056),List(99198210, 42262764),List(28116321, 26526440),List(48939702, 2672601),List(77110630, 8996570),List(12602468, 62695768),List(81026529, 74128053),List(84617534, 86836661),List(39164789, 44480411),List(47652462, 89717539),List(11269968, 81492482),List(88677357, 35905231),List(38693151, 73620601),List(32049711, 60056306),List(6634907, 8732713),List(39965022, 83262118),List(29554583, 77975461),List(70800587, 53606490),List(36665819, 51509252),List(64978618, 42019679),List(7931432, 39588213),List(28909039, 36547047),List(1511366, 37703747),List(30609763, 13421470),List(87959165, 31297145),List(68412368, 14853101),List(86846226, 97934053),List(46352674, 63701890),List(31292367, 77166702),List(52604548, 8713626),List(34159124, 57147536),List(40655440, 82092157),List(47478052, 8734912),List(1775948, 26870691),List(60299035, 75278579),List(95133542, 58761417),List(52617250, 37183969),List(66895994, 66864541),List(54104307, 64896756),List(88172358, 44217438),List(39036873, 99130900),List(46976534, 85311456),List(23907180, 61319965),List(69167749, 10085883),List(67011177, 11455055),List(14354098, 48986858),List(92313540, 23787851),List(66261034, 10994496),List(88208884, 12311609),List(6664627, 53156695),List(9162030, 18924618),List(11762266, 99263601),List(84867804, 97035963),List(76925888, 15359851),List(46916290, 17973865),List(52226818, 55968083),List(79392135, 23891706),List(57118172, 89371206),List(61042058, 42800735),List(56003027, 33942541),List(65658425, 90723671),List(59979203, 8004326),List(33752510, 62391955),List(92308368, 60405996),List(55254851, 95274793),List(22823327, 35603466),List(2804028, 65871701),List(48029953, 63792480),List(7280625, 12702756),List(88243175, 21579994),List(98120851, 14951790),List(25907111, 88074386),List(52732391, 39002110),List(16079905, 68082412),List(41368383, 21071283),List(10744805, 13517389),List(18921726, 48565896),List(69259354, 90248399),List(2858583, 91349002),List(1430752, 770409),List(35385110, 32637179),List(23978756, 73175753),List(83301532, 19188268),List(45268185, 19201280),List(88390106, 15769742),List(99190283, 78705250),List(23950599, 914531),List(48636696, 34688876),List(54286166, 88588228),List(93420095, 45328215),List(82321251, 76441618),List(3230546, 66545107),List(43489796, 56264897),List(42291328, 56941516),List(79773568, 35447657),List(38722287, 50396443),List(68532626, 47850621),List(97711520, 99514747),List(82766487, 15439428),List(56104082, 85657052),List(12469538, 51287745),List(75765503, 2689940),List(90086887, 60340351),List(21277411, 68864009),List(24040950, 39179803),List(75245475, 25320679),List(41513694, 86428883),List(95456155, 99121326),List(42861268, 69074706),List(79961853, 86772586),List(27709575, 50648745),List(47445310, 48805097),List(19184458, 9968737),List(44239961, 49472263),List(60215330, 78344890),List(72675756, 52131676),List(94437895, 61654509),List(5206510, 50736616),List(56332311, 97193866),List(54976536, 34005495),List(31066394, 52976497),List(33037919, 12315950),List(13786105, 35732679),List(82898261, 39063125),List(6689875, 26422367),List(92569077, 57758655),List(96312777, 49836826),List(88631046, 64846194),List(74788907, 46002670),List(58359711, 67299089),List(43372075, 71616911),List(23292576, 4967411),List(66458144, 66926137),List(71769802, 55989791),List(46657059, 14622217),List(92811695, 24577778),List(26576709, 1312638),List(18416039, 57032402),List(29380068, 94688219),List(96177271, 95660702),List(27728079, 20127561),List(63832137, 2349452),List(52325029, 9357929),List(35076014, 492628),List(93018403, 83611174),List(87877995, 52595265),List(96610991, 76693999),List(46954466, 87222515),List(20817989, 27092023),List(35701308, 33980563),List(44895180, 88824325),List(27177888, 53376975),List(2557825, 19995557),List(61375484, 34374462),List(92888355, 71570646),List(31933917, 46858064),List(255015, 96203843),List(55680656, 8028266),List(76533465, 32172441),List(16409986, 27088557),List(59327013, 28542869),List(85866111, 14487196),List(35097325, 89539230),List(96414810, 75108919),List(69088657, 38735461),List(22972035, 57195536),List(30399495, 71846136),List(94660655, 76584917),List(90221180, 3242787),List(26873128, 76408624),List(32241659, 47755466),List(27323623, 75303204),List(91129433, 85188674),List(98045577, 30836007),List(74013183, 91434493),List(56017931, 49465477),List(38069657, 24844796),List(40118382, 71424003),List(46269889, 65335069),List(18008782, 44870524),List(83778286, 7788087),List(15609227, 28945696),List(29032856, 20452798),List(37653486, 72659192),List(40153737, 28880507),List(88923655, 88074159),List(62113916, 1051641),List(68319628, 48455584),List(60063946, 54245635),List(1575872, 92019656),List(12690462, 64420151),List(59881196, 77157245),List(8902966, 2086196),List(61144063, 56388313),List(66783739, 37536107),List(77911999, 59664764),List(39942294, 44010052),List(98394317, 92435868),List(46734948, 36593135),List(40423411, 54665384),List(92156437, 72582606),List(41258502, 46884527),List(49281609, 90598160),List(32452756, 75884363),List(57939793, 22212088),List(49957480, 99114669),List(22668532, 40501387),List(55610277, 16327947),List(59435212, 96945777),List(58308008, 35504654),List(738597, 74151014),List(94169715, 43409324),List(3353333, 41540462),List(98571432, 48094711),List(96159056, 12752299),List(90730558, 46433388),List(46348577, 40739557),List(22861126, 53572717),List(82728316, 32063001),List(5123630, 54517139),List(285333, 99609769),List(96151362, 19757598),List(77744316, 37832573),List(89908440, 1289157),List(11560163, 87653829),List(8362272, 49918814),List(25625734, 11528840),List(20595904, 93578547),List(66129225, 16388399),List(93273241, 85739340),List(3820663, 6116912),List(1874085, 69753135),List(35239872, 23858951),List(96995388, 54646055),List(68070532, 90996159),List(21331016, 63075151),List(36651198, 70529161),List(32159090, 20365749),List(17849931, 10316463),List(25918953, 39732749),List(14608663, 71274958),List(79296106, 93564877),List(13332146, 27969481),List(54446076, 17477928),List(67600541, 93212248),List(64810733, 50446934),List(81135408, 54981354),List(60655888, 3411655),List(53739741, 68284960),List(75525877, 66583520),List(84110232, 62870167),List(32194002, 39799614),List(48723601, 77200316),List(74255839, 92600502),List(69850044, 43740359),List(97713603, 41430762),List(27876194, 76677384),List(67765201, 37297532),List(53731400, 63188861),List(32351990, 40348441),List(34629826, 13561599),List(52269664, 12848528),List(82397420, 13720706),List(47782317, 26793917),List(39441662, 64739564),List(73483331, 18087491),List(8585310, 88807534),List(60698809, 96249708),List(40141196, 24686316),List(16812628, 18688794),List(79848908, 798092),List(31595091, 85463348),List(3478098, 43632812),List(51108163, 98416096),List(96180539, 71732499),List(8648378, 85447376),List(24261828, 25362342),List(11875288, 23654933),List(33191748, 50000571),List(76515514, 42355406),List(83284657, 16810925),List(48097363, 3211440),List(37228854, 18856941),List(36791021, 90832383),List(46016573, 41611545),List(66615162, 62440864),List(87821036, 43134175),List(53919410, 63295788),List(85776151, 32477710),List(68858648, 47871127),List(85206350, 79287546),List(40394511, 44420855),List(66393507, 32170569),List(28043500, 56655584),List(41512437, 40729376),List(81291950, 40396915),List(49627264, 3319759),List(59269928, 63231312),List(59979274, 3634454),List(80288070, 54637366),List(38316966, 28560761),List(25628769, 72973020),List(32639224, 3645422),List(98171455, 35236613),List(80072868, 15239433),List(28127208, 18935957),List(96715843, 46741506),List(17235654, 612592),List(24352223, 86252702),List(19156544, 95480306),List(27092196, 34561250),List(19375692, 8876903),List(41864600, 20825009),List(65630131, 94923860),List(94099444, 64043718),List(69609925, 93863304),List(16661891, 46174741),List(43644579, 8927170),List(43132101, 86030588),List(93301360, 17677311),List(62594882, 91034078),List(93126069, 2679065),List(86004343, 84129854),List(59296426, 82802591),List(48301569, 93184442),List(47790912, 94851193),List(75387825, 74590476),List(29036344, 6735795),List(60301384, 73516828),List(65541752, 60542748),List(92702972, 31307624),List(5560590, 93634582),List(91794361, 43873617),List(71710515, 87501483),List(7470151, 99999179),List(13180609, 6217635),List(43486394, 23840173),List(85412592, 59877111),List(42962775, 8823879),List(91888829, 27693054),List(74386898, 80542899),List(99744333, 34747696),List(84261626, 57486056),List(43601530, 74559812),List(2500602, 48190006),List(97317922, 85361768),List(70849185, 75146804),List(32495427, 26047156),List(11537438, 20793607),List(4828936, 48129185),List(21349117, 82211821),List(50816450, 53335373),List(76313700, 26553998),List(82306405, 5341377),List(86212481, 18467749),List(86052633, 92922147),List(31221308, 48375111),List(76539469, 16986607),List(92228835, 89717771),List(42535148, 48632029),List(25860992, 89766078),List(35242433, 32633885),List(54967027, 40434663),List(68311828, 10041587),List(64914783, 71563130),List(79112718, 77162491),List(85695210, 85684369),List(40567076, 34098012),List(59439284, 44617704),List(47289754, 2632616),List(73123134, 74442118),List(36860190, 86526563),List(75236227, 93228825),List(50820341, 83255648),List(48970681, 62804404),List(47829207, 84380570),List(25899397, 23958262),List(22179026, 52065912),List(52641236, 95029799),List(57237825, 52449982),List(5880787, 12980111),List(35244303, 22503291),List(86920693, 44686528),List(64315886, 58261185),List(74462495, 33794667),List(84677296, 12478014),List(72810870, 68867512),List(6882980, 85913680),List(67101142, 39592868),List(43627857, 18832982),List(30563110, 21379912),List(93441979, 66279344),List(27921890, 47369663),List(54180685, 23073959),List(96849706, 21829132),List(41894479, 8774816),List(85261443, 13557184),List(74126197, 98325079),List(99614297, 87996234),List(91557275, 69905445),List(39796040, 76167694),List(98807021, 47835331),List(46662880, 92900679),List(88399832, 39075921),List(53742457, 32172014),List(12300869, 40401486),List(82122457, 52731862),List(4524651, 63302295),List(24139420, 9628056),List(63042495, 9196434),List(6302486, 23637608),List(68089232, 19183960),List(22314933, 35274455),List(18132138, 12333966),List(12726652, 59179255),List(69440418, 33008371),List(4124533, 79910063),List(18782446, 96820934),List(40816014, 685023),List(50439114, 77495814),List(78354238, 12118310),List(64258016, 15263579),List(17550371, 91089963),List(41205658, 91283092),List(51871, 18130553),List(16112106, 71080087),List(17375128, 65559075),List(11772566, 67729186),List(23746196, 35898142),List(56642681, 19926249),List(77656759, 31896033),List(63318334, 24977969),List(45950923, 27109083),List(60750996, 55192632),List(29918175, 3271515),List(39726450, 58894622),List(67835082, 23098944),List(66736978, 63772046),List(27285599, 73791614),List(62409303, 3220764),List(2471575, 24054084),List(8077452, 77973795),List(61422789, 82999523),List(40149974, 95876323),List(77168383, 53942565),List(13350006, 53776145),List(17443220, 32922964),List(7811243, 80180786),List(387842, 20636757),List(22764034, 78975267),List(6731948, 62398107),List(47125923, 26191672),List(3456513, 27179900),List(18529341, 78403737),List(5437755, 72835942),List(51431901, 91166659),List(90872024, 88900239),List(39253868, 33459076),List(21683824, 46670696),List(75405982, 12174268),List(49348325, 89905118),List(39941507, 63549566),List(84609582, 76835481),List(54102083, 2749023),List(62324181, 62685419),List(25190168, 6077378),List(7160395, 65564500),List(79294642, 95634964),List(36491181, 79507958),List(75174153, 11121408),List(45260342, 84324335),List(16418787, 26928440),List(88915136, 88472243),List(54136326, 93739431),List(28184831, 92377190),List(13732004, 78875378),List(34981086, 68531255),List(17603480, 49747798),List(64834431, 50779715),List(44527138, 42925328),List(61246095, 94814439),List(64531123, 11862261),List(99837670, 69178051),List(67462037, 2852637),List(85798492, 50268709),List(98925571, 61128046),List(38676988, 25367305),List(61206277, 83709996),List(10519904, 36420339),List(24389520, 40222144),List(12411102, 33985015),List(58759952, 84719267),List(37908186, 16060001),List(40922451, 85625824),List(22612055, 49865216),List(15930604, 15629955),List(46111382, 22634945),List(24330936, 74877682),List(9971996, 12949090),List(37460005, 18570991),List(37045320, 90078967),List(85102558, 28519090),List(53741394, 61543613),List(86032136, 67137434),List(3353714, 77931537),List(53690948, 750336),List(9479591, 5651033),List(68877930, 43094094),List(808750, 13124531),List(20507077, 81564326),List(66407085, 10744948),List(22100260, 89742267),List(75746025, 26206782),List(15043247, 90978560),List(89551604, 82082173),List(91941879, 26958897),List(22363760, 89448377),List(51232062, 31850458),List(64444522, 81824400),List(42126976, 54825598),List(15033206, 99717375),List(48931298, 61520152),List(17560324, 30100348),List(18354839, 901443),List(16821102, 62168109),List(65688157, 33983268),List(12608201, 26103104),List(86528022, 49371172),List(16428792, 78971728),List(19445476, 12882358),List(98934303, 94943853),List(25315702, 1589791),List(18587767, 29242472),List(87263672, 57061951),List(23293443, 95410119),List(94987229, 50350533),List(64582974, 41135718),List(74984526, 94818302),List(47521430, 17976262),List(6241709, 6896221),List(67353561, 78707194),List(5229751, 61107688),List(8891411, 95451571),List(14110500, 17124163),List(53086970, 11087294),List(86436807, 29065917),List(32610487, 22697845),List(46759094, 94235406),List(93692292, 95842797),List(67882710, 90424176),List(27758201, 82968943),List(58556233, 28698353),List(59603073, 54575691),List(12345131, 84022425),List(78473119, 79141485),List(72065367, 95987476),List(14417540, 57667033),List(83510307, 7840694),List(73541147, 48043228),List(91063702, 50830068),List(16389102, 56067609),List(97574565, 29531718),List(80335122, 99224288),List(52296135, 68871690),List(55672805, 6525512),List(94205500, 4887643),List(35190213, 8265271),List(76574609, 202583),List(53697870, 62092961),List(26301532, 48304917),List(95151402, 31705598),List(75651943, 42024863),List(67859996, 63389268),List(7659984, 22199112),List(26596401, 57157620),List(47026503, 93931084),List(38592154, 17092049),List(49518691, 15348702),List(70075601, 45139953),List(59305163, 25442750),List(1941555, 48704478),List(6070743, 46522710),List(63232165, 35870654),List(94194652, 16598814),List(88991967, 29512200),List(67508409, 97337641),List(24675540, 51483787),List(12401323, 22011008),List(22236523, 5711062),List(7573741, 72223465),List(46225416, 85582136),List(62386842, 61366476),List(65433014, 29757592),List(39596766, 52529702),List(49193150, 29800048),List(10170488, 61745303),List(51559838, 53274751),List(51187815, 18830451),List(82262247, 58033459),List(62513706, 24178465),List(49001721, 22307166),List(42403725, 67498576),List(63632243, 84733235),List(28368389, 9098245),List(44517129, 32490791),List(44487025, 17471645),List(91011446, 11568463),List(16534648, 20693376),List(47023875, 20181923),List(81883514, 56720404),List(85799814, 21066337),List(21768607, 36453750),List(75364443, 30556303),List(12016490, 99776808),List(1908017, 29124853),List(96463679, 49045268),List(21137271, 21549258),List(76338931, 84054345),List(74611356, 57171873),List(88795607, 41970880),List(1306273, 58808272),List(5520766, 92754804),List(76883435, 28615211),List(8854897, 7576347),List(89747360, 19888523),List(92705737, 14873369),List(65154625, 69238683),List(83309223, 22827029),List(347542, 54833304),List(44321039, 3314949),List(46181571, 56464483),List(84518906, 41307009),List(69677840, 83710663),List(28770165, 47434389),List(60092461, 72739096),List(85068101, 92525282),List(11043700, 20431588),List(10387284, 89281012),List(38736530, 38811514),List(48212222, 17035687),List(73305418, 16885321),List(75622547, 76826589),List(47130515, 17974400),List(22859683, 33240755),List(25739142, 5851407),List(90594045, 32690502),List(71738581, 61343795),List(67778220, 98785829),List(89742461, 82236300),List(89855909, 73497041),List(39215443, 55038823),List(5983447, 25362556),List(92743039, 42177790),List(61661897, 86944628),List(85448153, 47864664),List(10613877, 22574570),List(78214035, 28952187),List(71015419, 88261617),List(11389727, 79139420),List(52150017, 8892148),List(70270251, 16915197),List(95772720, 58882411),List(19968204, 84487022),List(14711138, 24168151),List(71049752, 83736842),List(73503712, 42346215),List(34218413, 21740834),List(60652862, 8694108),List(400380, 9649046),List(4435131, 57408478),List(26669741, 10232926),List(28462200, 57332442),List(31027141, 28201301),List(18959415, 79549792),List(59004424, 62181943),List(30782769, 2172737),List(27418703, 9957028),List(79603839, 86843235),List(90922415, 77401132),List(81809022, 91435037),List(30559736, 13238919),List(2148076, 35054286),List(11966697, 5279180),List(65645022, 26106162),List(53266996, 4170382),List(74966226, 30456992),List(48992125, 27235597),List(91845265, 37701778),List(34830762, 68777899),List(44127674, 35888452),List(48633406, 80430439),List(55697948, 96855711),List(15557943, 18578754),List(17712196, 18936074),List(9914453, 52263067),List(6460125, 68553782),List(14503990, 79674414),List(70838308, 87075663),List(98275592, 6304244),List(72432334, 37657318),List(26705319, 99065028),List(46486783, 60512759),List(68200852, 91705783),List(33124816, 1396269),List(82775271, 13222233),List(76373874, 1987833),List(90314247, 52650366),List(27305238, 55201845),List(78532598, 56075578),List(38840141, 93767526),List(62210197, 86198804),List(9210505, 12975363),List(6218343, 41010002),List(15890983, 87860484),List(95212309, 78071318),List(13527036, 46290252),List(3779380, 87730888),List(81806307, 20256622),List(50312703, 26866665),List(75999333, 1460258),List(50254036, 59130556),List(81626095, 23391451),List(93825017, 62779873),List(70744282, 96172373),List(21386350, 89272128),List(38648444, 44886956),List(71877594, 14291016),List(67548485, 23111552),List(52542284, 32474896),List(29473025, 9398096),List(6224620, 29712890),List(26784776, 71619373),List(44576408, 52972272),List(42079796, 809561),List(73656077, 4597134),List(43961707, 1972665),List(37910131, 32397463),List(62044040, 92363083),List(22813474, 10787356),List(60549378, 86615296),List(61448667, 90877778),List(47247730, 65120856),List(71950243, 55297017),List(77621255, 84335822),List(29716366, 81876504),List(95816858, 80559393),List(14679132, 82775959),List(53202527, 99944793),List(54483126, 17152366),List(5040247, 33266408),List(48642738, 9193995),List(48326465, 6439162),List(66973220, 20110749),List(88656146, 97613960),List(84922204, 58351825),List(68847587, 90624454),List(25328410, 46331911),List(53203097, 84257342),List(74305682, 50611890),List(65450071, 58274456),List(29635332, 887108),List(97784906, 31496319),List(16189918, 7599516),List(49684163, 76808301),List(98542281, 44903694),List(94562162, 16748015),List(56435605, 84684959),List(41693738, 93514999),List(78453241, 37743517),List(8021068, 37473807),List(24992445, 96306546),List(60299787, 89329447),List(29359500, 45813730),List(90742359, 22820160),List(98840793, 25553135),List(60350310, 21446865),List(15586885, 3825484),List(5461533, 87781246),List(27856978, 39742449),List(73439840, 70326358),List(87763339, 89825604),List(75193739, 73642859),List(9664606, 61424330),List(44760947, 84689311),List(79075022, 20362483),List(33830673, 18606764),List(45251766, 53946739),List(17397924, 94014202),List(29154870, 109125),List(72826378, 50902734),List(56192604, 61716406),List(64547360, 10843104),List(13389503, 6066464),List(68489668, 36947728),List(7043927, 38816902),List(18050699, 30491658),List(21167133, 5202770),List(42455824, 16139688),List(25717838, 77570164),List(21200115, 2625519),List(48834020, 46651760),List(94086133, 5429850),List(41420033, 32418563),List(54259433, 98906815),List(83036496, 19740175),List(94611929, 2321673),List(92874380, 10881834),List(91891592, 33483880),List(28355480, 8353158),List(82097608, 4598148),List(46544541, 67173682),List(40082548, 15850722),List(21571447, 93514242),List(1525188, 4929308),List(25547913, 57415052),List(46149783, 21149320),List(31777808, 73929271),List(17067168, 95465771),List(22712129, 52872158),List(28062168, 80525543),List(82266066, 70317712),List(84242157, 43575873),List(35188268, 69025946),List(17096284, 49174887),List(68668779, 13093272),List(66295230, 23595531),List(66459228, 66807748),List(88384784, 38368146),List(27008993, 18411328),List(26459071, 29288467),List(36995419, 53332371),List(85581837, 58558432),List(38854215, 43912854),List(22500477, 6191879),List(19782585, 47252897),List(86213434, 44335673),List(33806973, 93323958),List(47629939, 78875442),List(41937949, 62209269),List(57779750, 94696608),List(23378903, 37493334),List(53713229, 52121623),List(55030978, 14107730),List(35261977, 27047844),List(28412457, 10988005),List(22787472, 60386441),List(56752385, 51672199),List(91891779, 90903465),List(83010769, 64833435),List(89131935, 7164749),List(55183243, 85075080),List(72050308, 79344905),List(83034217, 93402004),List(41559656, 49416158),List(11708983, 69990021),List(95036364, 84322442),List(71127041, 42912273),List(52210910, 41220074),List(83192637, 45235238),List(63044508, 62666146),List(25064145, 16359875),List(99783279, 42769114),List(91126973, 35613299),List(92598918, 52922087),List(5943515, 19010053),List(41855916, 23318046),List(43827205, 65515557),List(88529708, 9138590),List(28430245, 39626293),List(71630260, 71069225),List(57890850, 24701787),List(61222109, 83817008),List(27584509, 81080833),List(70367467, 58680579),List(81187831, 4625289),List(57917492, 38550779),List(31221706, 60775990),List(10267691, 53530850),List(26308662, 90788538),List(70100753, 50269574),List(52836006, 75158688),List(55765567, 87045988),List(78931853, 2642340),List(93538054, 84445623),List(10409766, 53206096),List(91756257, 61016652),List(54200861, 92633159),List(8484166, 65603381),List(78846572, 7276983),List(39460343, 93525),List(10814941, 61927745),List(5847880, 67134888),List(53691628, 26612453),List(25526053, 48344361),List(37138591, 12356522),List(52156512, 62811833),List(81553559, 1254465),List(33271415, 59106853),List(79660677, 39800937),List(57162668, 35198345),List(87153856, 36332946),List(82824448, 18049880),List(57680403, 89452034),List(26887819, 5670892),List(35146784, 17693499),List(66297728, 4855983),List(32543452, 20146807),List(71417210, 59969496),List(14113230, 35119738),List(23194674, 81431961),List(25388295, 96202736),List(65437990, 29145813),List(11022816, 91915518),List(52526607, 13748897),List(89687199, 62194779),List(41727615, 81726217),List(95284019, 48228252),List(23709112, 67947587),List(86998858, 63181695),List(93049648, 39296253),List(31329517, 85961529),List(25625136, 23904132),List(13968131, 40823902),List(90465530, 22691294),List(54899162, 57751658),List(8548991, 2775239),List(12510909, 48400813),List(47614828, 86990304),List(36619121, 98091015),List(36611221, 48166764),List(4095829, 54648342),List(34994522, 5920836),List(44128458, 87112298),List(90471537, 39468400),List(63003753, 35904541),List(25391627, 36341198),List(20467259, 54531233),List(77079222, 32443850),List(17602230, 12845121),List(42812121, 76874531),List(72311898, 9215507),List(51260807, 47801624),List(38271085, 55029647),List(32466132, 17872858),List(31171266, 44233055),List(7738340, 24616410),List(29523752, 84158921),List(35075745, 98349687),List(22215022, 54269036),List(40238007, 74675584),List(3224738, 62516656),List(37331043, 29260124),List(83228911, 95843574),List(54792917, 54756575),List(19663302, 92478372),List(52558609, 76444441),List(31447749, 44917412),List(75123566, 37343240),List(42776248, 37258733),List(23790313, 62584403),List(60361745, 82103066),List(12848263, 21888143),List(18951304, 76005445),List(77056461, 10261541),List(49139049, 16761693),List(98610883, 52440281),List(79613963, 6430304),List(9251177, 17107951),List(88296780, 83579380),List(55506449, 90699316),List(79776034, 51132006),List(42208793, 10330268),List(83569260, 95403040),List(16680969, 71528802),List(81722947, 95154298),List(65725757, 97309940),List(42733298, 31562031),List(16349140, 80265433),List(62904681, 49977468),List(61150728, 92585546),List(39350116, 27008545),List(68889504, 79736150),List(62984568, 76200598),List(81940582, 59842706),List(22363152, 27082692),List(89526085, 15490644),List(83339481, 95264040),List(17444953, 96367284),List(65649474, 29351477),List(94296824, 57931587),List(30705917, 38817678),List(29897754, 88077696),List(26072272, 7632440),List(28356106, 50734284),List(44921486, 66145656),List(65584169, 74129609),List(62663929, 37688121),List(54859119, 50503034),List(71576032, 9648166),List(9791827, 70802180),List(53477917, 52551480),List(21710251, 80086825),List(57419731, 9960319),List(29477501, 69351984),List(91805348, 2082142),List(25683434, 95693636),List(59815739, 44176478),List(26031717, 3674383),List(22303177, 82949703),List(47195525, 79984632),List(18386842, 70513317),List(7667954, 70352759),List(86922899, 84431503),List(57570893, 82369737),List(15184583, 15663691),List(12630505, 15436686),List(91106737, 66543106),List(17572264, 69597831),List(5895714, 25101603),List(76131784, 56690769),List(52730571, 16974727),List(42870014, 64023741),List(88711517, 79885526),List(16745153, 25259057),List(46001514, 67468035),List(79471431, 64114843),List(70681774, 19152592),List(93284327, 15112269),List(80334827, 63186682),List(9454610, 85805773),List(86059022, 93917223),List(52934003, 95372102),List(31567749, 410627),List(53841443, 32914659),List(84594690, 12913758),List(82768969, 91538145),List(10311473, 87639676),List(78228245, 55442754),List(58630814, 85390208),List(12163852, 50662544),List(25368781, 25683666),List(95105608, 92731828),List(2938336, 65873563),List(15765013, 17602414),List(53550708, 58994705),List(18226658, 80146174),List(83942781, 71744466),List(77758874, 76795384),List(25916668, 70649793),List(47248212, 23193392),List(94477721, 16601305),List(2850250, 40338172),List(31039785, 48271803),List(12874367, 48634670),List(24922830, 67455655),List(59208526, 68823220),List(91152680, 81663439),List(66339794, 64757952),List(44668205, 29265186),List(192430, 41680448),List(60995119, 64143256),List(74773263, 57696519),List(58398569, 35745942),List(53078487, 26742561),List(81845896, 25952036),List(29884754, 96287747),List(40658942, 45115358),List(43756015, 88496327),List(6064733, 90311856),List(8274709, 7856688),List(26493783, 15964376),List(77790382, 88404864),List(56126976, 8865702),List(18113242, 94249535),List(41077646, 43458318),List(87848670, 94200843),List(61886121, 3071862),List(7017330, 84061619),List(69986106, 6590333),List(70448712, 76100809),List(50276259, 79397868),List(4559720, 55360725),List(21306244, 73778575),List(69692967, 44106974),List(21719838, 4549480),List(35561679, 73843527),List(10578213, 15675864),List(82285796, 46531366),List(47553638, 52059225),List(96562245, 9091097),List(33575, 35004394),List(28828320, 54906062),List(83700905, 50346908),List(13778020, 49383429),List(39335725, 56096403),List(6365549, 52982819),List(37437342, 41176476),List(18172971, 97673899),List(62442119, 64540880),List(29776558, 31864165),List(13524842, 27268965),List(59356518, 35368595),List(61097196, 82709567),List(38888185, 90782480),List(39035565, 34706033),List(12930312, 57449718),List(55212751, 91302380),List(57332580, 86049504),List(50599063, 17228432),List(42699558, 86492772),List(36862245, 78304539),List(59469979, 6207087),List(4053270, 15655833),List(3054599, 65276109),List(22160941, 28178995),List(53627870, 13664673),List(27217812, 26158960),List(80578027, 27660294),List(3085467, 35154676),List(58210817, 50747509),List(52469234, 67239650),List(72730989, 45554231),List(73405048, 37305226),List(82375521, 96252675),List(66900569, 22354598),List(86935748, 6058590),List(13437099, 54609146),List(97161608, 24477011),List(14491990, 97708873),List(51536299, 37726613),List(13876994, 9503883),List(93584877, 58216390),List(82962198, 14997561),List(91355769, 78530006),List(28796267, 20817049),List(6586214, 12674371),List(29338683, 45489647),List(53587295, 36120713),List(58855600, 24956177),List(74960867, 89067907),List(33310549, 8581486),List(83584481, 50931181),List(55895779, 16134618),List(708314, 87204915),List(9489182, 74149841),List(53693279, 7129744),List(10188816, 45758919),List(26220325, 82453258),List(31097643, 82637786),List(3130465, 79570326),List(78956536, 12349034),List(25127996, 78151340),List(12817943, 79955646),List(72840476, 98372208),List(35644608, 6862921),List(88421151, 92589456),List(73776148, 55057520),List(14053639, 66092463),List(59497498, 12481651),List(26480079, 28850689),List(80415339, 42706072),List(27039110, 75963725),List(46671281, 14373015),List(56813749, 17652772),List(86963317, 63108131),List(70640164, 72929780),List(42337451, 27807),List(86465575, 91349533),List(38485524, 85784413),List(84289710, 8437523),List(87385893, 32046604),List(64014678, 24589782),List(6824571, 46482835),List(71951068, 78451880),List(70174319, 65748059),List(54082344, 87694066),List(90845746, 16390732),List(14486951, 81899669),List(32295807, 18839691),List(78841536, 32078972),List(50462346, 37242425),List(21637898, 60081334),List(96172824, 41559970),List(85571374, 12759435),List(30643479, 44356258),List(118210, 47576561),List(53061825, 12319005),List(15641101, 39700275),List(46700912, 60258501),List(7350347, 57591502),List(14580516, 68734763),List(68629271, 27272916),List(96427550, 41561752),List(89493772, 29392793),List(40579062, 96940291),List(38442888, 15075566),List(65781017, 87067178),List(33963465, 46255951),List(40793974, 16801634),List(49824342, 36896385),List(10804629, 80477665),List(28089927, 97649736),List(11959166, 68302100),List(62891879, 19278452),List(16757245, 30464510),List(99524072, 44832336),List(23568404, 82508504),List(97850527, 89073277),List(34588594, 97333622),List(54002180, 19261275),List(45609001, 2935829),List(39462226, 58140010),List(36375054, 44622560),List(2049167, 57255172),List(58618353, 1380905),List(60724479, 14067017),List(67365086, 89067436),List(29504041, 6051751),List(67505273, 15024008),List(33556115, 84387488),List(30172478, 39428013),List(76655756, 46203259),List(4876695, 91708335),List(39910700, 15161346),List(82789806, 68130565),List(47324190, 82816360),List(75064190, 75662241),List(99467753, 912159),List(95639082, 56493121),List(39915384, 33275344),List(75776847, 25817388),List(5552098, 25045847),List(25474751, 37953223),List(51242383, 11412614),List(33120805, 18976039),List(79394007, 85006297),List(26947131, 30582731),List(66442880, 41519397),List(48472801, 56381037),List(55101940, 13414009),List(12471357, 51045183),List(609800, 39420661),List(60489830, 43924506),List(52038275, 41974864),List(23322576, 68468528),List(75039180, 79189496),List(29086189, 51023905),List(31620835, 13383858),List(57776544, 71394547),List(65375390, 53557454),List(82788627, 86110809),List(22635126, 18095062),List(15827811, 68171653),List(87647797, 49739770),List(81234411, 71849909),List(71690482, 82271118),List(49534036, 30610409),List(53416698, 32096828),List(46193117, 78272299),List(83429826, 8323941),List(88036229, 13558099),List(86543132, 74842543),List(2975135, 40742184),List(71295628, 1175350),List(14267580, 24823341),List(94143446, 38515928),List(57200639, 90741918),List(22666967, 21823289),List(95162349, 62040543),List(33307135, 85922528),List(68882867, 85666765),List(91119689, 8632716),List(13562407, 14796471),List(75029155, 94210706),List(14650826, 28814000),List(19479329, 19346611),List(23512953, 59374291),List(95646145, 30908561),List(63798460, 47549380),List(64372994, 31159863),List(15951723, 23450268),List(17123862, 31246597),List(61009841, 8397819),List(92634895, 67757578),List(38208056, 33807478),List(8067274, 61844210),List(70179593, 48496565),List(28364172, 1031480),List(61655980, 31973234),List(14318303, 5877413),List(48728922, 95815172),List(42150388, 22130356),List(31961946, 28840101),List(49970339, 78588305),List(37555111, 81560819),List(11426349, 65228939),List(87130687, 89614266),List(65448281, 75676466),List(8374096, 25141879),List(49051220, 26312999),List(5709390, 41165476),List(41208382, 10661014),List(29897791, 80643345),List(23678574, 64814291),List(37222256, 65447966),List(47404114, 22635748),List(5677309, 99356606),List(79773637, 10240789),List(56377486, 6109470),List(89922390, 11767933),List(59718746, 95546316),List(19574661, 24133934),List(10627262, 69536742),List(10486176, 92441563),List(16379872, 86744112),List(28873984, 32252602),List(1162735, 14576626),List(74231479, 13825662),List(28874312, 98929010),List(78682865, 3954982),List(7708436, 69945523),List(85099437, 51174072),List(27872117, 92376056),List(73443556, 27393304),List(77966706, 44165957),List(76848175, 55519366),List(48071982, 28190149),List(16271275, 85715921),List(19614939, 80736194),List(49506247, 18807704),List(52166818, 95864274),List(14500846, 84011770),List(86428312, 28856665),List(2150743, 71415190),List(19031858, 2170415),List(92465908, 52288986),List(45776422, 3502985),List(51742790, 72721542),List(87090308, 85912647),List(66732124, 33540900),List(61102155, 84092046),List(39838682, 19146078),List(54272310, 20399058),List(79424487, 69320090),List(10488806, 39059606),List(28465323, 23041938),List(31248882, 31776496),List(18827497, 68209085),List(80149109, 99893558),List(93745291, 11775525),List(10209132, 76941275),List(70969531, 48646958),List(62596649, 20016131),List(29027981, 38612181),List(13405580, 60718852),List(32393920, 28022578),List(17246658, 40483069),List(1197795, 28595491),List(20107122, 47257379),List(68091165, 9293155),List(61034057, 50519279),List(75314114, 21403202),List(52724216, 66716257),List(71643863, 81203227),List(92961532, 90780365),List(65647363, 28541375),List(97425346, 52159314),List(32675180, 70106667),List(23060535, 52670110),List(85162713, 9866548),List(35803784, 4021002),List(59820314, 38490674),List(24507265, 31414706),List(28795704, 74129221),List(56460870, 27986357),List(72586856, 53725146),List(54505651, 13772432),List(35306632, 14002491),List(18529088, 64281625),List(67707400, 14465167),List(66385190, 64672057),List(33265316, 42573751),List(73686895, 77593271),List(71307571, 53749175),List(6284750, 81656354),List(39300084, 85802884),List(8651016, 59903575),List(85539863, 88215333),List(72891427, 97587339),List(1167682, 80211316),List(10137903, 71389624),List(41969067, 45679924),List(49118772, 21772146),List(83911818, 5875368),List(3702304, 59261586),List(98360206, 28271132),List(18948533, 5887953),List(66764638, 8342762),List(67724924, 41232354),List(28972502, 82065516),List(42966590, 62481792),List(35537282, 78952965),List(46401801, 39693786),List(98576753, 25217394),List(66759342, 66175619),List(26313677, 13288947),List(44854673, 68991379),List(65518577, 64164976),List(3859414, 95579421),List(66215689, 8370969),List(74487958, 65112095),List(4583796, 33910507),List(45524108, 19651020),List(11469756, 79726457),List(88093627, 47351138),List(55653586, 9752506),List(56412055, 94880134),List(46469472, 64472527),List(12697122, 73131640),List(18184598, 29432066),List(73529523, 12191233),List(62739722, 13222227),List(2755564, 98797551),List(46253711, 82954602),List(90362234, 6232489),List(18234670, 44418024),List(45329524, 53773369),List(16923839, 57243816),List(35282649, 88446772),List(72659382, 22863815),List(44046804, 39660847),List(61313880, 95635643),List(88051274, 20279634),List(51586525, 84057773),List(65848709, 29488721),List(50875797, 28458086),List(98713748, 64001881),List(51693608, 82689569),List(15094877, 80080187),List(70737224, 37555730),List(20093126, 95717644),List(72596778, 81656723),List(60169812, 42083004),List(76229306, 16668466),List(16674451, 94081676),List(9659014, 60505232),List(36752588, 35034655),List(9646878, 24226601),List(1490995, 86954277),List(3510835, 839100),List(21801292, 76137124),List(85474477, 747533),List(61448045, 66386173),List(63643752, 16110637),List(79893597, 90524448),List(72489551, 36831241),List(83491658, 80642274),List(26974188, 69795982),List(95142238, 66191280),List(47765977, 41532629),List(21148353, 49964199),List(1413405, 61667898),List(60832993, 12896632),List(45470992, 98395015),List(93676716, 68985806),List(32628809, 90307516),List(31842010, 86203824),List(66508868, 45381468),List(48682281, 54622925),List(26263599, 20276027),List(85712648, 61673562),List(52527387, 89675727),List(17747118, 49272086),List(18472950, 34675043),List(7265827, 32147032),List(60685933, 91450010),List(19935317, 13017743),List(80967082, 10036712),List(76672674, 10126925),List(21471074, 93371122),List(34269897, 10426529),List(67748956, 85504054),List(55815898, 22695219),List(28267780, 17461268),List(98392433, 99458198),List(40074826, 27074625),List(31726619, 27431606),List(61606240, 4036755),List(10909765, 39514487),List(78243127, 94952612),List(2813352, 52184697),List(65891294, 47435971),List(1414647, 4544463),List(90034066, 39028209),List(59936603, 31437151),List(55952990, 80879297),List(31067688, 45232603),List(63682234, 68629168),List(31898532, 20004022),List(14587453, 42016373),List(7153484, 56559101),List(9137244, 44144993),List(39678043, 14185456),List(32035898, 81976841),List(30378188, 82358178),List(89967870, 96208586),List(97808045, 54595214),List(85951663, 99308137),List(16769099, 66965614),List(38900369, 2518507),List(31913706, 53574086),List(53127972, 3934726),List(17338246, 2783575),List(51556830, 8885180),List(89498261, 65375392),List(90067524, 33760938),List(43828831, 89959196),List(97954110, 15026270),List(8341635, 45790211),List(15613030, 70905726),List(60035930, 30464429),List(5855759, 73654892),List(29025376, 41178924),List(9662296, 94826486),List(62825958, 21858455),List(81471662, 26572769),List(65723731, 95774851),List(10182049, 71019509),List(40312856, 80487693),List(81279210, 57139946),List(35677648, 13679318),List(87784982, 27823324),List(25899017, 86967664),List(33158321, 27227027),List(54167182, 37417029),List(48406187, 24042767),List(15568636, 53326794),List(18671718, 41911824),List(1145645, 90780199),List(57289453, 39593061),List(30891557, 29525540),List(89774263, 82448981),List(87305865, 73929056),List(61486297, 74090411),List(4084566, 80527044),List(36582426, 86502791),List(83582878, 55295180),List(426959, 44560442),List(43872619, 93704470),List(91179940, 32286383),List(92916247, 63981107),List(61824123, 35409948),List(69752910, 27346289),List(18612208, 8141159),List(22511743, 72308150),List(74948577, 7188402),List(48912783, 96901929),List(63426379, 78164654),List(9860249, 83070688),List(53571171, 54107058),List(71210169, 10954924),List(73249725, 55926672),List(7941182, 64727110),List(21188635, 43681118),List(2666978, 16156026),List(70599710, 45312768),List(59203813, 62303067),List(36138105, 52673350),List(77986784, 1598505),List(38328608, 40869238),List(16916269, 74155067),List(87875691, 17166114),List(63115152, 39006698),List(33827465, 29565849),List(17381126, 57472942),List(36924158, 15321228),List(40581161, 62068654),List(79295732, 83658820),List(37422932, 70406290),List(23898259, 7526027),List(8165349, 72643076),List(99793473, 70484488),List(79475548, 48035889),List(96972722, 16234005),List(33174365, 16813910),List(76158176, 22103549),List(29749095, 10831174),List(10702415, 11761360),List(30868922, 93634610),List(35943182, 38963659),List(43171528, 8516649),List(84471563, 56353768),List(25698936, 78338014),List(24842289, 67531984),List(44810843, 58303940),List(67491984, 82904342),List(89172213, 22393050),List(43685689, 44137374),List(23115833, 24455197),List(38199342, 49595838),List(57289119, 52314090),List(24491814, 89328457),List(74046054, 16367465),List(34197796, 19101656),List(58187793, 79038302),List(54835480, 16901716),List(6807586, 60709127),List(95695237, 79011637),List(91409702, 30877841),List(69791566, 49717760),List(39225975, 43319217),List(20962650, 68535461),List(30478891, 94247732),List(39845566, 14819994),List(10543352, 71755216),List(29337359, 85037169),List(14009968, 47368999),List(6775822, 70520956),List(75991382, 50989430),List(95223870, 97007978),List(15249250, 21191974),List(8883576, 41435580),List(27183567, 85972684),List(81325413, 45539191),List(19056976, 12428936),List(18318181, 82811723),List(4874228, 99383933),List(40547996, 85388299),List(8645401, 90121422),List(42273791, 73760827),List(45614259, 87690658),List(46032446, 16338049),List(62733127, 77609022),List(56500204, 14615207),List(13379174, 35200827),List(23317394, 51396055),List(31885308, 51553107),List(37489355, 90786046),List(74094490, 14053828),List(55108804, 91372833),List(50941131, 27119518),List(51240598, 11434580),List(43838240, 21481308),List(98318773, 1501718),List(32451488, 11495405),List(36400149, 42366287),List(21161670, 44170009),List(21333936, 69859667),List(49407127, 79851554),List(44434737, 45122370),List(31877708, 52414565),List(40230316, 5789986),List(23361634, 15480432),List(38904591, 887872),List(418194, 64920595),List(61552211, 36765437),List(53892370, 36098440),List(2984064, 17332958),List(62494141, 60316723),List(27599312, 3774542),List(52485219, 20313486),List(80627976, 29391186),List(78359743, 43484464),List(6072279, 97092564),List(57997619, 58505285),List(57707575, 29270764),List(73818233, 53488034),List(80183773, 55205545),List(90854, 55793852),List(1175441, 65970886),List(85993123, 2473966),List(98652249, 79934555),List(50927918, 72364222),List(35435001, 81342220),List(39614208, 54771865),List(42657145, 81660275),List(70323925, 35695954),List(41855982, 63408442),List(86561835, 23796317),List(52276147, 47458647),List(844417, 8588834),List(51797732, 28272559),List(30970523, 98318747),List(24848169, 50754050),List(13941523, 19662699),List(90334397, 38496481),List(99561419, 63916067),List(83885248, 62388649),List(19429814, 13529282),List(49121474, 6226048),List(69987568, 22114136),List(14012280, 80263145),List(77183596, 53719143),List(40354497, 54024638),List(49870590, 48491519),List(68975860, 53146820),List(40931929, 52833829),List(3875216, 74849796),List(63885709, 29580340),List(74170666, 70633876),List(70785430, 85205458),List(26218868, 56499248),List(58187161, 23414786),List(53375193, 63145196),List(10907601, 42444516),List(86767757, 38581039),List(65541543, 29121142),List(22007206, 44569914),List(87208980, 57617529),List(40039086, 47806262),List(85067253, 26134442),List(69276433, 30037728),List(87948535, 4313872),List(16265590, 97277622),List(10418041, 85714845),List(24737272, 46589146),List(78758518, 91849223),List(10539541, 14162168),List(32812637, 24124544),List(62491726, 19359816),List(31667765, 72606938),List(39518982, 41859390),List(44105888, 3481733),List(2838863, 65306686),List(43227758, 7534306),List(14403533, 37385877),List(38922699, 42588259),List(90007473, 22067996),List(92262838, 87837404),List(40324921, 29667085),List(67945055, 5566688),List(84989239, 78802917),List(78212086, 76772555),List(15745637, 14654660),List(44020008, 5426459),List(92769137, 88638788),List(3128100, 42920597),List(25553459, 32974679),List(75760060, 82188112),List(53525629, 98869926),List(69089789, 69821617),List(88570852, 95588923),List(32432344, 20429500),List(58259975, 98388451),List(16616239, 63919380),List(67150796, 83253626),List(6042108, 71416087),List(24685120, 22379613),List(35981914, 54267795),List(79571503, 92927114),List(97575625, 76415883),List(27876726, 15731106),List(77384727, 94612150),List(28796785, 49463642),List(73460530, 10451798),List(44303681, 49774819),List(25706200, 14528100),List(64099936, 94367530),List(2883069, 15118107),List(94160589, 4891459),List(54054566, 72355633),List(4997645, 42438778),List(11221382, 509961),List(41284541, 98859655),List(14176523, 67710383),List(62198287, 13705861),List(4746882, 1965036),List(2145548, 95936853),List(14184476, 54102303),List(90842105, 40561305),List(85359245, 30426288),List(28927481, 31742900),List(27976532, 33035046),List(8214979, 37362814),List(49579015, 82668279),List(17643773, 86670509),List(77978712, 24145455),List(75559704, 9498193),List(54194314, 72399518),List(62929266, 39792840),List(81213559, 17418028),List(28064825, 6494037),List(92781648, 10975156),List(39748948, 48942205),List(25637028, 76423013),List(93160953, 17788759),List(27923851, 43019348),List(62502060, 61811242),List(37367242, 63521169),List(75212641, 30197622),List(73120814, 70901315),List(21284460, 59027769),List(82938896, 98296507),List(56556480, 87022044),List(83969566, 30425146),List(5749095, 18808491),List(97723249, 31178257),List(79004284, 35931696),List(16893601, 5852886),List(16903499, 66132875),List(62387143, 56637888),List(3702657, 39805942),List(95441914, 54301834),List(56664561, 30953002),List(47301021, 8875862),List(37609958, 30667795),List(97301042, 66590328),List(26821986, 12782923),List(36961977, 53472807),List(19330151, 95573013),List(99354747, 81764698),List(66659398, 43620074),List(28627469, 45356689),List(51985701, 66477147),List(64148500, 91985836),List(39312554, 19858658),List(26026171, 26971915),List(82765603, 58238291),List(86632124, 38611308),List(35207999, 86907116),List(57431807, 54411453),List(98832100, 46631348),List(97918273, 41661516),List(76531725, 19943667),List(63437132, 74610940),List(58279593, 3643036),List(79080814, 54218600),List(44836840, 92986435),List(90791285, 87806673),List(96284697, 87818078),List(6216641, 13544333),List(10083978, 88593118),List(49426645, 32513718),List(95341311, 62276138),List(6450007, 87368833),List(15963676, 76891336),List(70740950, 57731442),List(68152968, 68013381),List(14643070, 58586719),List(82671348, 9729859),List(56269583, 77741898),List(18653824, 34634700),List(32630645, 117589),List(32665285, 67751007),List(29798548, 14524633),List(79828912, 51056910),List(38065872, 52865937),List(58374043, 62577416),List(567995, 7640323),List(62848117, 13621462),List(93594696, 78580994),List(73168678, 42579629),List(34307703, 14881639),List(44664222, 74959908),List(4217648, 69115255),List(50830213, 46840572),List(2543360, 30323433),List(8037361, 7540839),List(25189460, 25222178),List(39969319, 1244255),List(7404737, 90255458),List(44314399, 18767377),List(27186971, 55636171),List(83610776, 6055446),List(18868741, 65553894),List(51072468, 69912229),List(53003273, 77583019),List(71272222, 20246008),List(70905038, 90384332),List(99687478, 29594809),List(18951821, 74281173),List(18349741, 48357057),List(91941043, 42937087),List(60035644, 91289934),List(48995947, 95214619),List(16325446, 25260767),List(12055584, 13960156),List(7414631, 48415312),List(35320506, 52766980),List(82090297, 4803690),List(22404731, 2734716),List(95832041, 35198043),List(81578555, 35580557),List(69752548, 8481959),List(12582771, 33756719),List(17173799, 1324284),List(76218064, 83509141),List(64582644, 5292129),List(4563863, 64568496),List(99367627, 63471713),List(11129632, 36283668),List(15441033, 59597985),List(77527376, 23678941),List(95345987, 29428322),List(63934671, 12460892),List(84876465, 23483103),List(59385089, 92822744),List(51552431, 29987572),List(72158533, 96750122),List(77299430, 35589262),List(22000399, 76497101),List(75672116, 88275935),List(30644735, 5358748),List(5414361, 66188656),List(53232640, 30086364),List(13434157, 60633091),List(98705274, 81456340),List(76615472, 56334916),List(8179201, 20286028),List(76782339, 6147742),List(45796033, 50080252),List(30771774, 83814427),List(86775976, 32486309),List(92456093, 97231151),List(81945763, 43412637),List(74099423, 40849181),List(16084699, 39219629),List(46307262, 42932211),List(41569146, 29297839),List(67797216, 82380518),List(51810747, 82645822),List(93885181, 17461542),List(91051991, 30502051),List(4869098, 56137260),List(74473733, 27074808),List(20362846, 39958589),List(79523161, 22084636),List(593843, 79398585),List(56274187, 837473),List(19424242, 23574075),List(12385119, 12725717),List(21656643, 22004530),List(49467997, 35556266),List(69363368, 90044865),List(47614663, 42502156),List(68240606, 71297860),List(85609411, 89567487),List(34270228, 30926013),List(28176598, 36706452),List(27249450, 24190343),List(95481418, 10427842),List(3268563, 78416144),List(98997925, 99173647),List(50201592, 86801026),List(42627391, 14636491),List(24272660, 97241529),List(65460218, 13691498),List(9616235, 34865149),List(77331864, 48644410),List(4231296, 69457023),List(21019412, 97579786),List(1292370, 94948081),List(91932334, 52726609),List(64012874, 6475021),List(80967753, 73647136),List(62165448, 4035245),List(48764596, 62348538),List(16479841, 17971790),List(62484080, 90044890),List(62951895, 39557804),List(44631619, 73584371),List(7388359, 57225341),List(72074998, 79055231),List(31557042, 42164903),List(18970358, 17108332),List(21315529, 41161640),List(61896580, 58658210),List(51780257, 87960510),List(85160015, 84549751),List(53031832, 1775795),List(50863312, 78689435),List(94513547, 62836432),List(16292042, 14071322),List(45044433, 84885328),List(95573668, 75214524),List(67985310, 21647747),List(46944985, 81483814),List(11823247, 71318389),List(96053734, 42291130),List(78283145, 51787507),List(28243527, 15846585),List(72312902, 35361899),List(90074153, 24665766),List(19041365, 65279865),List(81420541, 99810632),List(49529050, 83855688),List(47660286, 90491071),List(81663323, 50071847),List(45627084, 62377002),List(62631357, 53952611),List(29164451, 23915873),List(21410022, 27682062),List(94045684, 23906402),List(7134454, 61497915),List(28185310, 54862778),List(63783867, 42293863),List(71191866, 53976996),List(40589861, 65643200),List(24230625, 20758230),List(99206217, 61931055),List(62459952, 61079358),List(20793410, 74266692),List(47465909, 375481),List(27437080, 28293938),List(59529863, 17386364),List(67732070, 38208622),List(43656614, 81415316),List(14198805, 6395708),List(99634468, 93245554),List(80402886, 20186822),List(34313067, 1531076),List(96319193, 22380260),List(62560871, 44286561),List(56482772, 76211734),List(91933334, 71781523),List(16921010, 28499646),List(69017958, 71794286),List(19651271, 62258299),List(17504277, 22196131),List(7177788, 61175122),List(17870238, 52083487),List(71537579, 23324286),List(65927392, 4764495),List(49037101, 66919067),List(28088884, 28242655),List(44745446, 41627796),List(64401658, 1168994),List(61433358, 67173517),List(90615737, 90448440),List(81927900, 59613330),List(38258967, 55786463),List(3252532, 68404454),List(74358814, 95491788),List(41846586, 93034031),List(66244308, 54459806),List(48535632, 96359127),List(753289, 22318095),List(34242489, 15317911),List(98386762, 81060542),List(71195430, 46210150),List(46234823, 89770534),List(19279040, 72942510),List(43751207, 37454126),List(89333078, 42907590),List(53861422, 51961623),List(49516464, 82418817),List(16657612, 18686281),List(22015719, 54312526),List(97377905, 35239861),List(83249871, 59612018),List(29496925, 1116866),List(89286139, 37536498),List(73859859, 94189857),List(42707096, 86163070),List(15787164, 29029194),List(99330598, 33983029),List(87741323, 27849141),List(764163, 40837295),List(56730046, 161811),List(61728685, 9893122),List(79808304, 76725892),List(81024477, 11568227),List(87860159, 96999971),List(96344967, 23824341),List(91693423, 99497862),List(96706606, 96118264),List(60967464, 42518398),List(26517676, 65836270),List(57667966, 73006524),List(13521946, 11730568),List(47265655, 99058241),List(63121087, 18147617),List(41730807, 94491021),List(20323474, 92541761),List(80044612, 5470331),List(51961199, 34472709),List(80624379, 35863170),List(51498858, 75995207),List(45479134, 12328746),List(12757196, 93975995),List(26182741, 42758064),List(58746142, 84020737),List(15742215, 31912782),List(51310846, 5260049),List(7597949, 88914257),List(14776281, 84807343),List(56865287, 32013038),List(13018556, 93071382),List(40222494, 26879988),List(34147560, 85147355),List(87605738, 98935402),List(14981673, 71328806),List(25790168, 59832672),List(60196551, 76627352),List(33535463, 79410010),List(71695223, 86827126),List(1522145, 76065591),List(21981293, 24944409),List(62544255, 18810990),List(50213492, 16899194),List(15796212, 90085534),List(10083805, 48046565),List(90309569, 73701607),List(29976293, 19371795),List(18644228, 91768253),List(48276008, 29471710),List(25141780, 43241488),List(35447691, 60611203),List(78713365, 18931430),List(13986180, 60331686),List(95920009, 41868537),List(1118535, 70626536),List(85583712, 74164116),List(79433397, 72356320),List(83788413, 9957438),List(76058435, 72665395),List(96513196, 9796919),List(65456147, 33581433),List(50033623, 87074317),List(37571633, 83030891),List(36819641, 3837974),List(75559328, 55190883),List(43188361, 68064180),List(14056537, 61635004),List(76369840, 61952387),List(72311269, 26080941),List(54478116, 74686269),List(12805836, 25380555),List(12680237, 16127214),List(93972290, 2551071),List(48557868, 86911861),List(76704653, 32575231),List(85872070, 49445150),List(13750092, 74155079),List(56828050, 79666148),List(38596591, 15164678),List(34750227, 43121732),List(58844634, 23269550),List(50706743, 56387904),List(5964876, 42448041),List(13616278, 50446129),List(65769085, 95458126),List(73314733, 50406908),List(54823845, 68544558),List(39149961, 48680262),List(27881045, 87201161),List(15430388, 8806388),List(22292235, 32392982),List(92199417, 60331279),List(21000989, 986055),List(42954892, 15231240),List(29851183, 6587456),List(19679045, 7381941),List(96124729, 82016071),List(10746383, 74525516),List(60946665, 20532930),List(31973347, 3839741),List(95244804, 88427091),List(92856923, 68358804),List(13246511, 37364948),List(24639332, 65597710),List(97277445, 88640403),List(46891199, 77819304),List(94897942, 68010807),List(78606666, 53966481),List(10289050, 2585220),List(26300529, 45232432),List(51198238, 66809187),List(21215639, 91154067),List(26242058, 74651885),List(17721796, 31432124),List(55289410, 27846852),List(79379025, 88025449),List(65441586, 55035332),List(60096829, 5547853),List(87742799, 14461784),List(84407918, 70081800),List(97346037, 88150252),List(14287449, 30498656),List(8548841, 9387488),List(49508577, 76647294),List(20933213, 28248421),List(78974741, 86234680),List(79159620, 36535267),List(6537823, 1266116),List(5807024, 82828339),List(28034005, 5091324),List(49686667, 64189998),List(28532441, 32474635),List(66477166, 31839575),List(99315656, 30379542),List(8943977, 9496609),List(65208896, 17088303),List(23966542, 70539623),List(76888749, 54734099),List(695798, 46802604),List(50509151, 42791279),List(4148542, 54884098),List(58984297, 32066059),List(53165906, 27732806),List(52735465, 73434639),List(7793112, 85560912),List(15708122, 5756716),List(82944934, 17338833),List(40939652, 29898647),List(29458867, 97146541),List(97812380, 32448058),List(23792113, 61305965),List(20888925, 51322862),List(21672329, 80115913),List(71104542, 76999721),List(76871080, 94691932),List(19945221, 40213001),List(81325904, 45321748),List(51515068, 20184249),List(4697172, 57890438),List(68664970, 12372972),List(42322865, 67701089),List(2070230, 12938251),List(36360253, 19255538),List(15730773, 43057174),List(65168318, 85708396),List(22096197, 52725843),List(965337, 8116173),List(41022700, 49139248),List(73453331, 38162366),List(63654125, 37702610),List(10720767, 6356236),List(66004479, 45873788),List(24879732, 67504280),List(30881913, 38051984),List(68997880, 6530977),List(10536517, 84709352),List(92420860, 22513531),List(77468052, 4545717),List(66943433, 48828794),List(31366908, 99258423),List(41817685, 36966259),List(67592243, 12028227),List(37253192, 29602695),List(67549441, 51306236),List(28390207, 40236902),List(37061273, 28341345),List(55867142, 86404614),List(50594992, 95451152),List(96471196, 25739597),List(6254626, 87657164),List(2492256, 15148918),List(79754185, 83813199),List(90504319, 21451832),List(36945887, 5048425),List(89186907, 6262994),List(98046238, 13440249),List(81221269, 73343873),List(53938046, 42550203),List(64563267, 32065873),List(16736531, 45388731),List(55834928, 20787975),List(4435964, 74477703),List(88724641, 48589300),List(4263947, 19980344),List(59739949, 46108135),List(82465720, 27102588),List(97111809, 46330746),List(80476972, 39187129),List(87294135, 15605361),List(80284760, 30447969),List(56454729, 99996494),List(56185415, 43332165),List(57125808, 13710327),List(45850836, 4396032),List(49995288, 25679992),List(74767881, 86553592),List(73246360, 74251033),List(16234805, 97314136),List(97834687, 62797655),List(72047410, 68779686),List(89866160, 59487053),List(2350777, 95132663),List(71229488, 14072622),List(32032298, 68525113),List(74683539, 35855505),List(43104293, 45667499),List(61888357, 28987086),List(81255580, 75278002),List(40354123, 73741570),List(53784682, 19067480),List(44853957, 9053674),List(73293520, 49530164),List(69617823, 16181511),List(82885293, 16183525),List(71411758, 64942003),List(96837496, 75902298),List(44850809, 71664650),List(75616306, 84824903),List(6281286, 50670407),List(7841838, 63271729),List(3546884, 78456155),List(41853869, 9859744),List(18100778, 9147871),List(86869671, 35983405),List(48307092, 77537026),List(69229703, 54702147),List(32166326, 78590677),List(63353527, 37647618),List(2785959, 6054392),List(16841204, 86143174),List(27884988, 41930742),List(91592814, 84105435),List(22780523, 21034803),List(20648977, 56806980),List(49988069, 39212223),List(44615097, 19864691),List(51156702, 72799685),List(65244874, 30250672),List(8201355, 5714370),List(86631080, 8298586),List(13379575, 73681392),List(89549593, 99614678),List(89304813, 97728608),List(6360431, 53385673),List(24839145, 75127920),List(75125002, 34774546),List(37690615, 94033407),List(74376655, 77505715),List(72188556, 67953521),List(77717041, 78911028),List(84991624, 79442674),List(55053051, 22474095),List(6790126, 42269268),List(21170573, 80127276),List(58197418, 4049540),List(39718322, 6812509),List(3535894, 61484381),List(51495972, 47813807),List(46505318, 36666469),List(31888411, 59082355),List(22683561, 75270678),List(89946664, 51135052),List(78973467, 30755094),List(9367354, 46626778),List(73027719, 14047363),List(64269839, 92042774),List(9166568, 89671340),List(54169658, 53489958),List(9693770, 32492877),List(79992142, 38171743),List(60586490, 1633772),List(96485827, 30235228),List(73576899, 29630391),List(85976834, 68087411),List(67746684, 27093204),List(2382548, 65157289),List(77681237, 92921902),List(73652976, 5888911),List(10416903, 95942059),List(28034306, 44896398),List(91637384, 92277137),List(41543502, 69585390),List(77528834, 5175395),List(5754803, 90010725),List(30658679, 15285275),List(12074955, 48883090),List(19308407, 95501855),List(34498796, 84994414),List(10175350, 66264613),List(66528408, 89762269),List(28507450, 5085412),List(63966937, 88827060),List(32559134, 25208357),List(25147820, 31349417),List(81314222, 88269887),List(66432888, 91927126),List(14724058, 45319977),List(66862998, 21298632),List(41522439, 8639409),List(68189669, 3934705),List(30149109, 92520212),List(39597824, 69289420),List(86860435, 6785977),List(89381204, 137627),List(57428414, 76955644),List(85740566, 93388889),List(48681590, 72151291),List(3460708, 66099976),List(38132589, 93097019),List(54435859, 56954939),List(43056029, 21793435),List(27400103, 71687029),List(28329304, 33225897),List(91951384, 67644557),List(47875124, 36131893),List(7803370, 11036106),List(4416635, 43491079),List(5506317, 80060078),List(57537415, 91589106),List(59692688, 60077658),List(62909768, 82139412),List(80393488, 12887216),List(51897416, 41820),List(15718147, 65718370),List(49477910, 1962720),List(71197413, 63031943),List(83769107, 93475923),List(60790560, 52069841),List(83605860, 11551870),List(46540118, 19478601),List(15295723, 52668344),List(40702566, 73618763),List(50265455, 36370160),List(32427350, 72738731),List(32911857, 23838202),List(94292793, 22298424),List(50791955, 80104348),List(95871770, 81839942),List(2123167, 67276100),List(80980298, 51017727),List(38656337, 39684721),List(44595265, 92000786),List(1786969, 81415641),List(15540643, 67053777),List(68668802, 24527988),List(63860945, 56031964),List(4535410, 14303114),List(31347287, 92961572),List(45740331, 65583448),List(70370088, 17401011),List(61388166, 97056444),List(92331539, 25590052),List(72730605, 75714216),List(40489875, 27223151),List(88765487, 37834282),List(71547937, 58855880),List(42770308, 17560847),List(62523832, 7011341),List(14106601, 64300786),List(57162888, 4322081),List(47958514, 43785121),List(15640904, 3099712),List(50482184, 77236170),List(54422659, 98260572),List(94792368, 41896229),List(83860420, 44745000),List(89452509, 96856841),List(68612874, 59409146),List(4149558, 11310006),List(38270687, 12990966),List(57982838, 97848663),List(29457543, 10134994),List(56328785, 73040101),List(63345222, 42167473),List(40140173, 77156104),List(47595561, 51063050),List(65875681, 10089580),List(71321982, 21228332),List(1727986, 10046965),List(93782214, 12982791),List(85285194, 69499091),List(50811028, 12245276),List(41566824, 47215079),List(80308976, 28831393),List(63559941, 9313319),List(15711694, 70062162),List(96723435, 84063461),List(22468514, 68198657),List(31928485, 77030563),List(94451896, 26471824),List(17042630, 20185681),List(23344340, 62711553),List(97802960, 68418760),List(91057350, 85480167),List(55959306, 44904226),List(60856594, 43165111),List(93278934, 82716870),List(70554312, 92065740),List(95578502, 25195583),List(22003436, 80205068),List(86940305, 78047684),List(82306021, 81428813),List(32312219, 20456530),List(87182296, 3488935),List(79997132, 47746453),List(8626205, 33882613),List(48150855, 74164576),List(23801460, 58072708),List(45242003, 87863405),List(77821962, 75395370),List(90785397, 27425661),List(83702560, 2900892),List(95750129, 11310287),List(27149150, 32523403),List(22184861, 86225969),List(99684354, 84759310),List(92797256, 83666674),List(60705235, 37227290),List(13664685, 6101149),List(99045990, 14367739),List(21676839, 13027406),List(42992348, 55338484),List(78177434, 38457938),List(23259487, 17199162),List(18970381, 95797452),List(84263079, 68573777),List(55258328, 20860596),List(70313005, 78049928),List(98427755, 25787437),List(92303921, 92092460),List(30157733, 24693787),List(84699831, 92073122),List(44103555, 12367825),List(41061419, 19710815),List(94837903, 49483356),List(32028193, 71543551),List(10602451, 29994358),List(73311966, 22348481),List(84149293, 8943391),List(57341682, 48654651),List(45390369, 43100032),List(39298808, 59754873),List(78425776, 35970061),List(17866621, 73112748),List(26347520, 29497395),List(90043959, 86235568),List(8378791, 77728353),List(62306515, 63471737),List(40983921, 4090388),List(230286, 12248427),List(5365321, 82472144),List(14316249, 4377106),List(45301080, 50430446),List(26931912, 38907111),List(78730803, 69714674),List(10256894, 62946933),List(36110279, 65375292),List(98212216, 65058412),List(70367012, 41816682),List(51331443, 31404198),List(76462277, 67722584),List(70232876, 50192713),List(88302772, 44372965),List(91735834, 71693747),List(76303965, 46400281),List(22178469, 24501168),List(29419762, 7571765),List(84579752, 17951908),List(25838780, 50487687),List(82088045, 84280265),List(73042292, 92447032),List(44143865, 20446395),List(41679138, 25256475),List(72946763, 86299545),List(86788107, 31755474),List(41098757, 87901405),List(73304748, 82161137),List(36559433, 17722379),List(82460691, 30779229),List(77220976, 5077808),List(21060908, 85750082),List(61428525, 36431696),List(3748595, 36064452),List(17350568, 11026785),List(24742050, 45103544),List(21013217, 51816268),List(52617368, 97799590),List(20250493, 68161011),List(53510582, 34179127),List(50026184, 70090908),List(56687981, 70473563),List(62381312, 12358437),List(25219641, 84874130),List(75211380, 87365669),List(59867515, 85554528),List(43587342, 65120858),List(84077475, 65908998),List(11860835, 91939433),List(81216613, 47656117),List(39594153, 99445666),List(4900817, 21065370),List(8024176, 83919477),List(38104265, 69503329),List(93386008, 86326377),List(37508698, 54885199),List(20678178, 35874838),List(5398012, 27918325),List(40893728, 71450823),List(41916774, 75078204),List(98895014, 99421303),List(48867719, 36804158),List(31426293, 8300287),List(1544096, 39344982),List(56462107, 57627561),List(55672859, 63188127),List(4132563, 205097),List(17003266, 60913753),List(21765929, 2068596),List(26715331, 44980102),List(38680024, 86307743),List(81458985, 79419408),List(679249, 72443304),List(82885045, 47524731),List(27657305, 75118406),List(22881129, 16355270),List(45492271, 68407770),List(69102664, 5315365),List(94680652, 44295935),List(99944539, 86872440),List(24877905, 94688869),List(28613276, 69683736),List(34447114, 51377523),List(23555243, 60684375),List(86232023, 12634445),List(65761133, 23661780),List(84331243, 33681932),List(99515682, 97814494),List(21344085, 88981345),List(25763490, 78040903),List(85262720, 81227848),List(10511024, 52704580),List(55182322, 22945167),List(25910160, 13120149),List(38821849, 30696196),List(75726405, 94304971),List(30147859, 70669018),List(10901402, 70451478),List(39328377, 5902231),List(7688418, 4632356),List(71257693, 34628596),List(66998902, 9025949),List(91045733, 37489085),List(33297934, 78712395),List(87079082, 40477288),List(39313833, 37174533),List(14288271, 84967888),List(52441810, 99873058),List(16874351, 55691700),List(6199548, 15974271),List(42876511, 30701097),List(40061683, 8522120),List(69971963, 72561765),List(92590154, 85266183),List(88861451, 84833980),List(157791, 31846690),List(88334619, 30339613),List(87429558, 58955978),List(33871650, 91959403),List(41931570, 36370903),List(12061435, 25807357),List(89382461, 75805054),List(16246615, 32493129),List(58076285, 81433799),List(34676234, 40994649),List(26804112, 37510148),List(55930691, 89945938),List(46051094, 51611487),List(51640518, 59631402),List(69468327, 90173410),List(75738434, 50096073),List(33356858, 12862912),List(70930730, 53753514),List(58937060, 60985539),List(52740359, 75789332),List(72015168, 46764838),List(66198860, 66448917),List(80666528, 63102388),List(98008518, 81761615),List(35232514, 48944330),List(45383690, 90977527),List(41042151, 88869083),List(71846799, 89340920),List(61139720, 75028767),List(51324916, 25753501),List(36572609, 37562941),List(40285513, 90721446),List(3812120, 44661751),List(10305580, 45216495),List(25527149, 93690158),List(74730871, 14607752),List(43134426, 29484554),List(5061672, 72367308),List(93647151, 39581628),List(34536409, 99690342),List(70502423, 82007265),List(73973541, 630260),List(87987604, 75207464),List(5072003, 73640188),List(81515409, 74406868),List(65798877, 24670068),List(6201883, 50688478),List(35124627, 89933500),List(66405980, 31469937),List(6250367, 41343628),List(68902394, 17763753),List(86350493, 18108153),List(58465463, 8478918),List(2900218, 38599896),List(83494520, 13355757),List(33573710, 57512889),List(34515922, 1805840),List(97993335, 6546504),List(89300427, 89674260),List(69602516, 33391061),List(92539073, 36512183),List(83000382, 54780345),List(39401591, 74305118),List(89271948, 27451418),List(34664276, 23343004),List(27062916, 34372121),List(23294416, 66208628),List(76745455, 61812930),List(42104132, 26730851),List(92802472, 24938308),List(2456855, 64802165),List(36376647, 98752660),List(40541916, 34743616),List(50440462, 26049491),List(62772186, 59597536),List(98092269, 54487633),List(92378749, 12733256),List(24871803, 30330009),List(92052390, 79992232),List(81010124, 77183022),List(38053726, 43746994),List(39093072, 64417879),List(94537534, 89058942),List(10618404, 53632820),List(48999115, 90491765),List(8820373, 72310241),List(90341365, 1303624),List(76104435, 36554134),List(88538519, 89245584),List(88216112, 64920441),List(66012606, 41597514),List(95052418, 15704004),List(24888176, 27091941),List(44425882, 90247110),List(38475314, 6243553),List(81633775, 47250812),List(20786578, 34887834),List(47019124, 11984506),List(79307173, 46666096),List(60324572, 20199998),List(47745827, 63305290),List(65360303, 53995104),List(18252258, 26940793),List(22590417, 88018622),List(35877284, 57983129),List(63538156, 30012144),List(24664766, 79848484),List(1558058, 80414468),List(6865802, 74404771),List(25001803, 31610770),List(65792182, 43834278),List(43748256, 89498201),List(21873699, 42056801),List(97639, 62384793),List(97787216, 85429336),List(35910504, 9018321),List(11812799, 19672667),List(29886172, 66175347),List(30016970, 40738895),List(74481918, 84963792),List(53066850, 36149084),List(89399410, 10027875),List(71918681, 80369902),List(69022492, 42955210),List(90314885, 53345294),List(54276521, 29904702),List(32287718, 72668161),List(67092899, 65935606),List(1057295, 37565888),List(71657776, 80857436),List(66434938, 64584657),List(14829081, 26552118),List(59488301, 2802435),List(21974825, 33063335),List(96053614, 96514335),List(44338325, 7326044),List(99857679, 52331646),List(35965195, 21175573),List(8874988, 46480),List(3735307, 26154200),List(44383822, 30209298),List(23230383, 36518153),List(34775539, 19875663),List(1044860, 23667863),List(59860313, 51096464),List(98956832, 7866348),List(76260962, 29882689),List(70471334, 95137351),List(95864520, 60333007),List(16519422, 34275754),List(17768663, 81370101),List(12831905, 44681471),List(49538873, 72263487),List(75467638, 96244758),List(20276425, 13181909),List(61346450, 61891374),List(98320933, 33352107),List(73155196, 12563525),List(69082197, 31266822),List(92372565, 2359379),List(41473615, 14192573),List(20117920, 93589355),List(81377469, 30693559),List(5184122, 33205260),List(35029836, 72933444),List(19461127, 56249277),List(9760398, 83825375),List(5543883, 64943960),List(621756, 97150183),List(81120221, 59144694),List(52505328, 74911769),List(90553949, 82214214),List(95788940, 52197654),List(51759678, 38378871),List(15552786, 60201484),List(27066361, 24291075),List(20445852, 67463729),List(99774289, 94465287),List(93958230, 54256593),List(63694544, 16462099),List(70520144, 94845203),List(91907796, 95613637),List(48310733, 924189),List(77797813, 66295751),List(10349200, 20606985),List(40249632, 20948641),List(97217297, 90093675),List(72892554, 69040067),List(41419647, 90517633),List(97256268, 7335839),List(81174388, 89132294),List(36972146, 25722035),List(17180345, 68611272),List(33986507, 42250205),List(65056722, 31005665),List(83423771, 20567479),List(72488700, 81573796),List(835572, 69376416),List(90084400, 68077815),List(52032167, 6244601),List(62381207, 18297274),List(90587103, 70702923),List(66941941, 34982543),List(79329514, 63075425),List(10424628, 27019843),List(16400511, 21664536),List(49445347, 86565394),List(96754348, 95411828),List(56227259, 16770184),List(3546035, 58547050),List(85172908, 9355197),List(43489252, 33417970),List(14161609, 90623264),List(80116257, 71658060),List(19679655, 30909592),List(89369855, 25598063),List(90193226, 23236874),List(38424751, 19172752),List(44426037, 90085369),List(99118009, 25443995),List(15794382, 8971518),List(8231202, 98545899),List(38280502, 78661238),List(61562064, 48144485),List(36666205, 91665200),List(51417374, 76070048),List(67296734, 1656664),List(19940004, 55222963),List(58042688, 83342652),List(13581779, 76049650),List(43384707, 41736887),List(41317792, 94799191),List(79445323, 41004375),List(6249599, 82226385),List(67029603, 85365844),List(98048684, 75545157),List(31756449, 37151913),List(52629358, 30246368),List(36165966, 23694980),List(85904440, 15303613),List(58552345, 78961987),List(96501866, 43273006),List(91255533, 62049759),List(63115683, 96149286),List(69718800, 33606714),List(14445046, 34069577),List(30831749, 66022720),List(92269410, 72485839),List(5254530, 74231163),List(75050298, 68672365),List(29002677, 83607152),List(37994407, 72911750),List(56527429, 18832421),List(62037635, 22503523),List(65613103, 75189038),List(95318221, 94204001),List(45884322, 40249472),List(71889003, 93326225),List(33802091, 14043959),List(25587568, 47772017),List(45127736, 7150189),List(41849469, 41900658),List(69227174, 6521922),List(53486584, 29851982),List(96623511, 89904276),List(37820610, 43085461),List(10466045, 62957114),List(9783368, 61562905),List(76368772, 19674655),List(59097686, 23568105),List(59853519, 53457813),List(5812074, 66798690),List(57482198, 48006711),List(94389337, 71475455),List(54162345, 24254729),List(94493542, 38231186),List(86092678, 52222164),List(67756788, 38191022),List(11341454, 81308277),List(32066107, 44699479),List(53346591, 63973518),List(79234210, 29809037),List(12147559, 58053636),List(97941661, 44823774),List(87969752, 48090842),List(48188594, 88983541),List(57052402, 64696910),List(70313261, 48727434),List(80194247, 24530787),List(92826953, 43067563),List(42045863, 45198396),List(13933244, 12854805),List(96312252, 14286521),List(61698071, 80585659),List(92839592, 66122351),List(62152818, 43409854),List(83474161, 80099683),List(48520844, 14239255),List(54672835, 79005286),List(64349489, 12365283),List(91715515, 59867744),List(14903789, 3862154),List(43534161, 70598137),List(54194767, 21260542),List(42349823, 21939385),List(70185512, 64677409),List(20417293, 68311348),List(39186334, 18485797),List(28972598, 35370815),List(11934678, 19783957),List(49451722, 60096467),List(28913454, 81954221),List(86171788, 9191578),List(38150543, 28841847),List(94649435, 5537865),List(10558472, 42950895),List(49217294, 1019319),List(85945325, 38833054),List(95279419, 17766759),List(15841026, 44528542),List(31893150, 38347599),List(59057177, 25972636),List(79660736, 19846167),List(4876964, 80169534),List(4388480, 61433583),List(24881568, 46020723),List(36557446, 76624718),List(14127446, 22492538),List(22157909, 2301329),List(81703882, 17977028),List(23231848, 25491741),List(85814360, 84065895),List(19953928, 19672520),List(59848703, 10446599),List(5883603, 14193382),List(15722304, 44972269),List(60626989, 38554856),List(70187391, 25835071),List(27354119, 82108295),List(12381135, 96204251),List(36071886, 75288479),List(48340934, 17177746),List(66023657, 78025721),List(42690947, 48979843),List(61678076, 47267288),List(86091004, 32276389),List(81079340, 57098426),List(11816340, 54488355),List(40991722, 81793513),List(69509978, 81893405),List(67014881, 64911097),List(47122717, 37037625),List(90199781, 18519252),List(28675488, 31299691),List(31277818, 79880679),List(44546950, 6096752),List(74780589, 99704270),List(54285122, 31052755),List(27542906, 24809331),List(7009344, 12178879),List(14603441, 68346691),List(73380964, 35558448),List(73138148, 34732244),List(95578746, 95173455),List(58806597, 75684947),List(83060086, 30076232),List(98725566, 31650057),List(42375155, 48128348),List(61194324, 97833327),List(4527683, 30013112),List(32746416, 29573771),List(56423402, 80220227),List(97817669, 65434294),List(15044136, 92629014),List(62188261, 90374328),List(92519582, 61168626),List(53609765, 38832928),List(48885886, 72041298),List(99596223, 45467632),List(38121724, 42733805),List(99258096, 39527656),List(48597625, 39550188),List(2968333, 72559150),List(69599293, 8051814),List(2415801, 87287737),List(28640419, 19737984),List(10748198, 90268653),List(91312792, 80740278),List(54574278, 99274513),List(44017766, 78743513),List(42479921, 71950289),List(90433704, 52690457),List(58860894, 92323010),List(93443754, 19023966),List(59773278, 75140908),List(90345186, 75188904),List(30789447, 38747751),List(1931834, 60665630),List(91339123, 47859813),List(11291921, 22272739),List(10784747, 2242577),List(44472022, 82484467),List(84860625, 6160640),List(75532181, 36587545),List(6862649, 95644387),List(56111424, 69511063),List(64441457, 64177621),List(23687480, 78796349),List(7464304, 51318033),List(67250482, 23038150),List(69832555, 27420097),List(10444233, 58682349),List(75798341, 67662207),List(70144909, 39647926),List(22522965, 47506858),List(59043985, 17738347),List(34622754, 31420431),List(26349016, 5739850),List(9336599, 67558554),List(96796954, 10842800),List(4410519, 29068228),List(44962865, 250636),List(39857325, 68921118),List(55209050, 38180735),List(86062677, 57047815),List(61256711, 26509386),List(53291248, 30847640),List(86848700, 43213949),List(71246269, 54128684),List(16816523, 36763109),List(24453880, 65236517),List(58754465, 52925195),List(43263561, 35551453),List(79639708, 52746469),List(59945406, 70841312),List(73381652, 19091431),List(52600816, 48113078),List(40156698, 47390458),List(75373288, 47123564),List(65942315, 48552938),List(31455382, 52869660),List(61425259, 23354959),List(44069736, 49188941),List(93064212, 52275560),List(14352753, 80804083),List(24468625, 72469331),List(22225521, 78959958),List(30946789, 92407246),List(46183986, 51020384),List(26291902, 52391368),List(83225206, 55006655),List(77798547, 83735814),List(48887697, 59239520),List(88810085, 2734780),List(68361478, 94708672),List(62692212, 43959676),List(32667141, 16412062),List(12327793, 47747549),List(49365128, 2775624),List(54185181, 81375694),List(88083503, 53958362),List(72314660, 5460947),List(59460577, 12710019),List(13893490, 96403308),List(39724210, 71711506),List(85138122, 57735017),List(25372817, 65752026),List(64846757, 12952565),List(72745924, 50487715),List(18666899, 75488215),List(84233593, 89710513),List(13461796, 92903145),List(57686301, 84491827),List(25093342, 39552457),List(79989352, 59814650),List(94498061, 49747686),List(73246666, 47173655),List(49296488, 60954299),List(81087997, 92128737),List(18182824, 51316650),List(27084047, 47755482),List(99499433, 68912014),List(61445422, 1821757),List(88254529, 93681353),List(97439034, 9080138),List(63423749, 61966361),List(44789960, 77944404),List(47490211, 54659540),List(91010573, 89054307),List(17927375, 60350025),List(17782077, 40545157),List(63117295, 37128367),List(4297274, 47702358),List(44225457, 9237052),List(56107237, 2243001),List(96186764, 55297486),List(88214220, 29556513),List(98744642, 85634758),List(28006258, 94765966),List(10698176, 18546090),List(21783799, 11922697),List(30297567, 28789990),List(34103421, 41730155),List(81457026, 71000193),List(56613425, 80187607),List(45669970, 12492207),List(81251225, 55545836),List(56510538, 91595850),List(67740822, 30673368),List(32729702, 66658432),List(30141037, 74950928),List(31614778, 52287483),List(9494268, 62200901),List(40825572, 96401400),List(15206540, 30762297),List(2280421, 70604737),List(14234538, 95161133),List(21767407, 67144050),List(27975347, 69248291),List(64042059, 25938736),List(2208148, 59077994),List(6901783, 23279144),List(9123814, 87932252),List(13126014, 7594081),List(96893302, 15014582),List(67213196, 94803322),List(68149518, 25864815),List(1077574, 43572263),List(14736461, 5864852),List(20712304, 36050050),List(8327197, 63244051),List(98082517, 20658078),List(57078444, 81502536),List(6209035, 99659382),List(10797124, 7387116),List(42470576, 96703387),List(36814408, 29499761),List(50248918, 22345298),List(53012501, 53037418),List(77392465, 35743005),List(3957165, 24834736),List(25050196, 87718123),List(24428070, 86050894),List(20779791, 1744474),List(63087090, 97950254),List(63454789, 76593663),List(9523384, 6300348),List(80167185, 22883929),List(67504105, 93341535),List(14625193, 50776093),List(94116364, 51465288),List(22349626, 93363706),List(97094979, 89742218),List(97075940, 47212143),List(69866258, 92801215),List(138860, 10937301),List(98178568, 36903957),List(39568571, 19634179),List(95236586, 40694782),List(72487989, 48856349),List(22328476, 86944643),List(83477386, 63359387),List(87093055, 24472086),List(28239999, 38196740),List(11869809, 83400718),List(94790058, 56381584),List(77965656, 56704067),List(15153167, 25001135),List(82417435, 40737961),List(5523320, 12399188),List(81675373, 72415999),List(88247970, 47101505),List(36957573, 49801166),List(76020219, 36293318),List(99443879, 62931282),List(47517612, 15652930),List(53252650, 47074002),List(29216858, 35046924),List(71350503, 9657734),List(66001003, 56963796),List(79581010, 96933174),List(17096520, 4048217),List(86694355, 68393077),List(24922587, 81346816),List(2582129, 8032293),List(64425202, 37003165),List(3982888, 36780735),List(56185809, 1916637),List(67166314, 46740316),List(26527958, 84655363),List(72615493, 36325556),List(23568723, 84719094),List(64738006, 5986674),List(63938264, 9906018),List(19894237, 71289261),List(94593606, 37222551),List(6275179, 83018303),List(87453518, 36879226),List(56495888, 52048165),List(33592655, 28669268),List(9434490, 85913738),List(39548099, 79766287),List(85307641, 5539069),List(68058141, 89102235),List(59568891, 55025278),List(83126266, 31525189),List(26075755, 11885676),List(42074381, 83960661),List(35326265, 28617860),List(61205578, 7310333),List(87787956, 42749999),List(32563072, 4426601),List(26984587, 47249139),List(73207855, 80091012),List(96525905, 64927291),List(80713858, 53690445),List(91445557, 34605468),List(96843573, 37829834),List(47675840, 46700272),List(34660029, 78511063),List(49875352, 80247220),List(67987069, 78119859),List(74786659, 82857505),List(224755, 49849352),List(89632316, 93728837),List(18992617, 62698651),List(90115423, 82731948),List(47536709, 9375624),List(81371836, 11553194),List(76350605, 23421876),List(49738879, 90109526),List(48177453, 53629380),List(32412546, 22008393),List(2419518, 72712292),List(17359622, 60363432),List(58046598, 72301663),List(68007827, 27922734),List(45371031, 41015902),List(85269935, 38755902),List(24999967, 16183330),List(54408097, 5038096),List(6057171, 16632711),List(46278582, 8463147),List(57994011, 83198654),List(55673541, 49127947),List(31177399, 12438257),List(36770316, 46902309),List(29401658, 40967716),List(94890470, 72733023),List(15279150, 32589552),List(21171836, 43110872),List(46131589, 94428538),List(12135066, 45449518),List(10266553, 867937),List(72902943, 27546511),List(80286877, 42611199),List(90329678, 97567929),List(98599576, 33097127),List(66882208, 35636989),List(59901826, 35466316),List(93370267, 45143918),List(22419603, 41703360),List(76800653, 80827133),List(5903020, 44635287),List(33368557, 18159756),List(7113649, 36629422),List(51809623, 49056519),List(35834287, 77485038),List(83254967, 61920458),List(28497858, 13271901),List(16617052, 4314303),List(47879724, 34175893),List(94716110, 70499425),List(84542486, 66008993),List(1345740, 39748310),List(87165835, 54986725),List(53601146, 71815331),List(30318021, 13401276),List(87075612, 80236894),List(30430842, 37147999),List(89059968, 86059789),List(78352320, 45843573),List(87672874, 9651610),List(57065844, 50971448),List(27850019, 38635211),List(13493319, 88028347),List(94628592, 57694271),List(36228852, 66576377),List(14970518, 47277820),List(31797077, 42238859),List(82565932, 64529541),List(53871985, 18091641),List(69936321, 36209745),List(93805365, 2217321),List(16914515, 18154959),List(87291275, 13507630),List(73068131, 35862598),List(72278737, 54359515),List(85437306, 17542725),List(55715717, 14986009),List(26425853, 71462188),List(46886783, 5263896),List(50618446, 91413930),List(3679405, 44000349),List(57245618, 78455036),List(20882031, 31637028),List(40007341, 41514245),List(18876865, 63668373),List(37594335, 47088850),List(4019742, 45680184),List(17395566, 40772456),List(81779642, 5735784),List(24948727, 21281636),List(43424077, 60453390),List(95758586, 15828642),List(89142005, 39593204),List(30537723, 88310932),List(78365122, 95311757),List(7756168, 12533427),List(94534220, 31479820),List(49883419, 80707479),List(4055443, 93865622),List(84450416, 11085096),List(58073717, 59458140),List(35371266, 45257545),List(14058441, 32405876),List(56508420, 38380802),List(68841491, 24002087),List(71986200, 38195659),List(2157448, 9293921),List(50364064, 31815342),List(70242211, 53910146),List(57726258, 29502080),List(26627899, 10438788),List(69072201, 85442183),List(79423345, 58148165),List(11275582, 31635111),List(68763896, 53551646),List(96063107, 55692240),List(63497724, 30822926),List(91096008, 82111043),List(34301029, 57891050),List(32308544, 25255557),List(78985566, 13688187),List(79972244, 96527500),List(74120810, 17604267),List(3135406, 80792061),List(5802073, 41658676),List(44519930, 67683411),List(93108511, 55916487),List(22255485, 24403443),List(64064576, 87458815),List(33649537, 10335715),List(41117941, 45990143),List(61743378, 99932524),List(31285036, 16559),List(9034964, 20510262),List(39138848, 72791376),List(61786731, 22843827),List(8978856, 83676929),List(79768766, 82247266),List(9884209, 11475503),List(22708356, 71083908),List(4490462, 12781785),List(28075572, 20388200),List(74007884, 51685096),List(74850271, 70812157),List(40091868, 53647926),List(87544719, 87360072),List(76132297, 12918915),List(2157378, 80683749),List(7467119, 35412674),List(89073847, 70929980),List(86758334, 64028642),List(58216116, 51329879),List(25189850, 62475554),List(22138631, 68601044),List(63016922, 711062),List(85453470, 62008315),List(72395835, 84011741),List(38118205, 91606851),List(40693943, 15550671),List(34857236, 33821692),List(6577382, 46206259),List(11534786, 84467341),List(30538680, 23416288),List(66832299, 51779838),List(19184045, 68331834),List(74952477, 22639143),List(66176928, 17345397),List(14022098, 18816650),List(61146196, 68524182),List(18500432, 34904058),List(78452278, 4378853),List(77913789, 49686394),List(40321841, 57056836),List(67663320, 37017248),List(81099783, 34288516),List(80514648, 46249879),List(53015588, 68520908),List(96595973, 61404165),List(66304788, 55430271),List(283921, 86972502),List(19590226, 32687746),List(78892114, 79105978),List(7230649, 10929151),List(72942344, 62910375),List(86497540, 51000540),List(67495598, 38370243),List(64579891, 43142891),List(46589498, 79705269),List(26844528, 6215399),List(22697599, 63300753),List(33561848, 15879096),List(51681410, 91645437),List(45343570, 95729055),List(73594616, 30651674),List(58399321, 67550211),List(61032318, 49694193),List(244399, 87131943),List(44830114, 70611360),List(55538857, 71485843),List(67455364, 44748266),List(28626361, 21759804),List(50606285, 14185518),List(2812719, 9522707),List(36784130, 69118423),List(81664877, 23021950),List(49727299, 73170222),List(85530347, 18480359),List(89362263, 48267613),List(75684913, 20860624),List(81241654, 21994795),List(32547025, 43064102),List(87772837, 66844659),List(67502710, 97031040),List(11101436, 81787684),List(59572862, 58789960),List(54988487, 38868033),List(18030740, 58755434),List(5562370, 6715309),List(20592673, 72534457),List(80275075, 18424636),List(72649795, 71622328),List(57931015, 35624854),List(52699815, 25026808),List(62785381, 78857784),List(75422215, 51321750),List(54915324, 19989016),List(12957502, 69795809),List(82143426, 65536057),List(33692882, 13695019),List(31402332, 70090646),List(56658917, 9694954),List(88387298, 73156068),List(62041353, 36203164),List(25127481, 69206134),List(20367311, 79882816),List(16131357, 47649136),List(69768841, 53560202),List(19505939, 78996489),List(55076271, 20466388),List(66026923, 84642969),List(5722832, 35222641),List(18628658, 41041643),List(30413626, 58599579),List(80708513, 64087938),List(13574566, 39899409),List(60433713, 14090918),List(10887036, 42901974),List(78375602, 5098921),List(2187551, 84035543),List(56139881, 38689401),List(78425582, 74922152),List(14335021, 6168277),List(96358626, 18137175),List(29885561, 38624168),List(22003501, 3941862),List(21258764, 41731373),List(15933563, 88895746),List(19967678, 30231628),List(48870320, 36353768),List(74087311, 68638679),List(70299960, 11437590),List(42591926, 51629252),List(89166536, 99345861),List(50130248, 1599688),List(2682611, 82259303),List(3961230, 45181866),List(66088724, 58040763),List(32547741, 21491591),List(9233521, 61530096),List(75417811, 5994857),List(9685223, 90059302),List(81622180, 95081329),List(59285476, 79219395),List(99466433, 42435525),List(60118532, 93508615),List(83970481, 60376194),List(28714420, 25124879),List(87891061, 25559054),List(36898244, 84779310),List(43842885, 78086399),List(30430019, 77128793),List(14129419, 442240),List(89367578, 10140753),List(8290237, 90696710),List(14895700, 15896738),List(72383330, 57100559),List(34059807, 28509301),List(68293675, 56886189),List(80290857, 91722334),List(28884416, 65130730),List(19958785, 597126),List(50470893, 91662835),List(43285965, 82681091),List(70074723, 80850637),List(40707601, 4415917),List(66750827, 17819464),List(69692508, 87676023),List(40108182, 22381903),List(81513158, 87965916),List(4656548, 42400600),List(34462012, 15924814),List(9233250, 51757426),List(4773778, 35245721),List(78257488, 46062437),List(47049938, 93330233),List(49649281, 90199125),List(77945786, 66350684),List(14711097, 62686450),List(95811178, 116016),List(315544, 18378949),List(7788946, 20985663),List(9088744, 84843759),List(83721101, 72888594),List(83765156, 43335634),List(84336647, 41103896),List(766660, 15472440),List(42518630, 18398007),List(54603861, 45191311),List(96396449, 13742560),List(84439191, 83111573),List(89733968, 74492737),List(36630342, 99208499),List(20228985, 81786242),List(94239858, 80722109),List(25508774, 61522583),List(41535927, 44859552),List(74541857, 92862108),List(83051030, 40253136),List(92621311, 20889377),List(19354641, 83783183),List(88517787, 47546466),List(63897550, 91104400),List(19367253, 81212000),List(47909829, 14199269),List(61895740, 2145859),List(10470253, 74938517),List(30652681, 84724774),List(95779118, 42111890),List(63617605, 88668354),List(96967945, 65293608),List(87353684, 55871941),List(32019952, 38409775),List(88461882, 83074386),List(42589058, 9014140),List(11752608, 73983829),List(42719802, 8573275),List(55708163, 12226420),List(54133779, 27457850),List(37985496, 72895793),List(59899471, 90011721),List(8383681, 86190685),List(54657663, 63215311),List(3347291, 17688687),List(12198015, 70050153),List(87857260, 30355093),List(17251623, 5536660),List(17007959, 52823536),List(69534797, 72921766),List(4270431, 61217604),List(53818960, 22816853),List(68086739, 647764),List(21626856, 50821943),List(29749745, 10877335),List(24294138, 83678681),List(53848844, 15751145),List(89758784, 21290016),List(60319222, 11881819),List(98419425, 58914462),List(73798394, 54717316),List(84177219, 67681104),List(69731094, 56638964),List(48336230, 70994156),List(54382916, 86205758),List(32622494, 52067909),List(33694216, 92881656),List(33551261, 88565270),List(11770672, 68314801),List(41428670, 83924616),List(7217281, 16615612),List(34123605, 5422563),List(51622161, 27690818),List(79885167, 34647041),List(61944893, 11984232),List(51054724, 46574632),List(64070312, 69977585),List(35836359, 32517135),List(38038277, 55890253),List(60790313, 81844686),List(54039610, 50671336),List(68708065, 51469054),List(40074678, 50688856),List(62874986, 68017456),List(35311079, 1767073),List(19104678, 74560142),List(29113974, 34702230),List(3837632, 91156369),List(61499868, 21833843),List(51351502, 63177854),List(5578441, 43634610),List(12188405, 16931305),List(81728513, 25588076),List(89651896, 74351183),List(33193133, 2865149),List(86752662, 37765368),List(17367973, 71218712),List(1347987, 80265338),List(44701137, 28386592),List(53930352, 6740944),List(15711504, 13258034),List(34098782, 20867265),List(90859442, 17366979),List(60738257, 6227618),List(68270719, 34693889),List(23903794, 34937008),List(88769442, 85963476),List(29372878, 97387454),List(23359590, 64343562),List(10214886, 51813673),List(18287170, 43907321),List(16637564, 74441645),List(63980009, 39659645),List(67652013, 66935855),List(62676123, 28105427),List(57813146, 56683647),List(92716631, 11344995),List(40491220, 11991323),List(26176609, 54792449),List(37144819, 75708105),List(18288520, 5141976),List(22655345, 52652510),List(69108274, 45354339),List(53437061, 90757172),List(45036371, 19973390),List(92976494, 37304785),List(26238339, 89167360),List(32291736, 38033204),List(6830867, 33460326),List(48348859, 61322350),List(819777, 31192558),List(54321045, 44028796),List(71631887, 7748994),List(92282082, 64764715),List(55193603, 93481124),List(48578851, 73731730),List(15182807, 19115587),List(83831182, 35274916),List(52349213, 2833427),List(71490686, 44918233),List(27845496, 62544995),List(65722557, 4097300),List(37073882, 225792),List(12678276, 67954022),List(13124944, 58352869),List(3927350, 99201582),List(49939993, 14780343),List(54177500, 29084762),List(65320575, 62218860),List(97349542, 12217467),List(81575185, 86530907),List(41635142, 47133883),List(15248082, 37761813),List(40512130, 20925385),List(65338813, 65316132),List(64605956, 94414972),List(47036180, 3619204),List(60835322, 65357939),List(86362384, 28578811),List(49356795, 56869705),List(21327962, 27785541),List(91909681, 61570659),List(14832304, 21714766),List(89555487, 41539528),List(98966318, 7859316),List(92133066, 4541535),List(99743225, 80266591),List(61891433, 43404346),List(71279945, 72917880),List(92640751, 34118044),List(76739402, 21975396),List(4032281, 90262953),List(29463332, 12677124),List(60789236, 1517617),List(68225231, 76870210),List(83133679, 41270340),List(25302135, 32440023),List(79985598, 24632428),List(87959114, 56040230),List(71957934, 84045884),List(58962529, 92416619),List(89050330, 84534000),List(79956584, 72002038),List(92382984, 46561791),List(86800962, 10832993),List(71593571, 26569707),List(82695654, 3900201),List(72518103, 34593658),List(50145638, 35550929),List(44702623, 47375000),List(96916508, 60721893),List(90660587, 10140393),List(62169152, 60162345),List(18362982, 35705447),List(99912294, 70346644),List(97398164, 18700505),List(98329620, 78133202),List(71944438, 38041282),List(64437827, 35324959),List(50959599, 22096942),List(45502354, 26169371),List(97723647, 2262073),List(96876967, 64788543),List(32383104, 25068674),List(61291819, 94374270),List(58086013, 28433512),List(50077825, 99658617),List(26090106, 25283079),List(69032782, 27638917),List(58076982, 33923595),List(66514546, 82725774),List(95128024, 32493068),List(15505300, 17837940),List(4145788, 67102954),List(91930466, 64464955),List(45519279, 68932851),List(81955701, 92774199),List(95125420, 92352146),List(86405062, 18076037),List(30253072, 28251145),List(55015441, 31427984),List(71923320, 19570754),List(90406065, 66788825),List(70604965, 24223074),List(55693939, 19036902),List(66632325, 72677665),List(47282525, 10961980),List(18941749, 75282368),List(15825626, 46102723),List(58827040, 4995449),List(58703051, 19790853),List(99365478, 73238044),List(48705206, 48867001),List(92291463, 98082572),List(97298494, 56304512),List(3477183, 1389937),List(73543626, 94026580),List(48665462, 58468308),List(31287825, 37890373),List(45394557, 42234263),List(44849224, 40790769),List(82462503, 10095475),List(14647305, 93802471),List(19530876, 17075825),List(64372001, 35490302),List(52324604, 28276255),List(15840321, 17698392),List(7022877, 17433535),List(29933420, 23487103),List(31746268, 93090972),List(71146155, 68128302),List(53968582, 99240240),List(35765843, 28010564),List(17034068, 16086713),List(79975966, 30897558),List(90007951, 62977485),List(10711432, 57500227),List(2058115, 29996266),List(15168956, 67847563),List(66755674, 47609345),List(32551579, 70884724),List(25024546, 29887457),List(28907136, 95445005),List(82738348, 49713459),List(18776556, 83045847),List(55413046, 82055739),List(71709066, 76434635),List(48164710, 30635933),List(81788215, 81738454),List(6425257, 16438394),List(64786161, 67718707),List(67799467, 4285441),List(94596642, 19270044),List(39075463, 66968507),List(3567150, 71767700),List(20615324, 73309273),List(68286149, 39911548),List(2000084, 97762640),List(8181400, 64434545),List(86173569, 63690598),List(39421916, 62883922),List(90147161, 10220361),List(60670424, 36468153),List(48570822, 8714729),List(81581242, 32692409),List(1865838, 12308052),List(15105125, 33121950),List(99546845, 6330265),List(6640120, 31891205),List(19803308, 68294960),List(95799199, 96867936),List(33943015, 42717700),List(27929152, 72147023),List(91644344, 8485606),List(23705608, 66296437),List(59540808, 6963982),List(45327004, 51439160),List(35653099, 48417902),List(13879593, 88264373),List(84002216, 87128193),List(66096965, 96787916),List(11009317, 44482530),List(35421153, 54486279),List(14229718, 18557512),List(68587101, 64583316),List(72511471, 234089),List(23306189, 44975342),List(16783380, 32580277),List(31215142, 33121313),List(925164, 12240942),List(72115377, 89304691),List(99496528, 79871382),List(90263226, 71119949),List(24051753, 14105600),List(75809943, 86512860),List(25807301, 16795442),List(29218828, 95491347),List(57250227, 78815922),List(6540515, 88378998),List(44555646, 23779760),List(30505485, 94946633),List(98251467, 19420167),List(12161641, 2349029),List(38045343, 62121714),List(4277778, 42626027),List(18006922, 19012690),List(65541278, 91187401),List(34547934, 17467681),List(53166923, 18203097),List(55268624, 32732149),List(41851918, 12194749),List(11468317, 15117340),List(13307496, 59438416),List(10946613, 91619546),List(17631377, 68007465),List(12335829, 87827502),List(79207050, 96040849),List(66692852, 95802187),List(70389935, 27664108),List(61813359, 20412331),List(82559437, 59539053),List(39863314, 71172513),List(81492868, 44319304),List(65613822, 83183577),List(90151832, 86434377),List(62022031, 90138800),List(75595006, 82906229),List(61454939, 87384788),List(30839984, 83928921),List(42070037, 59841118),List(54888279, 48851933),List(31662713, 93834721),List(80642399, 74671978),List(96341371, 81661336),List(39874138, 26145989),List(71925599, 84606645),List(25508955, 68130388),List(78631853, 59714876),List(25556191, 13820561),List(97597665, 85504765),List(99591561, 41987412),List(63616442, 56197403),List(78795119, 40441846),List(22034226, 53464950),List(1823136, 70270897),List(91240363, 6274634),List(58003018, 41535457),List(73563927, 58991943),List(40357552, 66524353),List(21053080, 48188749),List(69006141, 26298206),List(18240560, 56722854),List(25582318, 48612719),List(38618240, 6422481),List(2329730, 62952876),List(7621890, 70272170),List(71619652, 34083993),List(37076096, 18355342),List(33666738, 56412210),List(62719729, 97509576),List(85956745, 60824149),List(20588202, 22016848),List(9435945, 81446454),List(25727399, 62903716),List(87061705, 29192210),List(52492779, 79097334),List(22943065, 7050215),List(52619237, 32513131),List(59370364, 52984840),List(37213802, 87718838),List(61837960, 33703185),List(27550410, 14241235),List(45459533, 22926801),List(88812239, 39550908),List(54696621, 56290507),List(32750712, 37989172),List(78135365, 6941995),List(85405181, 73066847),List(53007107, 46547247),List(14081445, 2642949),List(70855180, 44340497),List(17278244, 58639834),List(15267967, 32476709),List(92331677, 81303334),List(19997485, 84477543),List(52486963, 98128054),List(82959759, 44517595),List(51741427, 73600395),List(88843298, 62474124),List(76365830, 8174297),List(80273694, 94945875),List(91619850, 45560899),List(75671764, 61084852),List(86943619, 93444666),List(5946402, 79407788),List(64387803, 1310948),List(3864209, 62630284),List(56889203, 94527214),List(87797267, 25362943),List(28991228, 57899334),List(79846741, 94440407),List(66356797, 89426016),List(6290956, 4590100),List(23476141, 22305525),List(10971989, 32642590),List(3293394, 8305341),List(75827195, 41966340),List(37796122, 36252763),List(82223287, 3606858),List(17599657, 36923861),List(50743520, 44098807),List(44811746, 71831937),List(52394466, 19711312),List(13648308, 87927756),List(94673524, 15906077),List(70419926, 64185563),List(64698829, 37123368),List(67174524, 94664813),List(13875148, 54543077),List(61442297, 58170308),List(58768919, 30075569),List(46572757, 48428049),List(99283522, 7706043),List(90653328, 16366779),List(70546267, 16557914),List(92979020, 33650920),List(27605314, 48118296),List(49976105, 43564145),List(65841995, 78758043),List(46575924, 60437256),List(68964203, 20929706),List(44901857, 63974948),List(13258326, 96978030),List(5040055, 44043202),List(73059539, 36138371),List(58971865, 188293),List(62764328, 66179919),List(35481175, 39027194),List(63108812, 32693132),List(80173055, 84603848),List(60765910, 14288856),List(91225152, 19473077),List(54115979, 12757472),List(83842256, 92871156),List(26473107, 49316966),List(52062430, 66172627),List(76535393, 11955724),List(7622599, 93631264),List(31103733, 59227662),List(78608139, 14343041),List(65738154, 28285938),List(16989406, 7300486),List(56985629, 74020801),List(62139782, 96993069),List(97497154, 43514981),List(2401744, 41524248),List(76073099, 12007187),List(35398513, 96989015),List(51064028, 51418211),List(97061491, 23201096),List(24030164, 12449063),List(65355031, 27181036),List(41841894, 58260177),List(65814355, 41783297),List(38105311, 16311010),List(67941928, 17900600),List(36563354, 11221625),List(1525874, 37731977),List(60054862, 36190126),List(22537115, 76006401),List(89837921, 50913438),List(12738550, 62994203),List(58835248, 5680220),List(7068161, 19182521),List(42535407, 22748620),List(86139345, 88685503),List(67958654, 78491618),List(96956572, 34704972),List(5949620, 13658345),List(84766881, 10895),List(46967677, 76596664),List(8646857, 55586411),List(79650497, 59750028),List(47276064, 50778578),List(3611419, 57805098),List(36477500, 72883207),List(80755705, 59659378),List(37357127, 50946884),List(98114169, 28520092),List(9665709, 89111942),List(14030441, 96964095),List(88338413, 48296632),List(67717578, 36727421),List(88168900, 35822962),List(25464400, 63672857),List(2234276, 55263657),List(34955414, 73669900),List(40930077, 43369732),List(62438142, 45913995),List(5885737, 36171341),List(9801986, 11301875),List(27440533, 88313022),List(2530465, 82987949),List(9930156, 8800480),List(26170314, 21103341),List(66209959, 27904373),List(61008455, 2324230),List(88506336, 42148539),List(8029957, 95385895),List(87644546, 65910514),List(17292128, 68174739),List(83700141, 52859403),List(61615706, 90086417),List(38099146, 99420078),List(45637342, 55865362),List(61213302, 61146376),List(28395562, 48682835),List(93152410, 88278706),List(77005698, 99587325),List(33636243, 84056750),List(7374530, 68194737),List(73512257, 99539196),List(73499443, 9639364),List(3620291, 73710842),List(90225634, 59684878),List(15406172, 55942549),List(81650200, 14111492),List(98078895, 81063500),List(31690409, 8265594),List(99598583, 56928321),List(57201380, 75678196),List(77618256, 5997588),List(30767936, 14836445),List(12795161, 17678707),List(98875048, 5871059),List(1400497, 47856575),List(6086285, 81002915),List(64958077, 44008686),List(12855147, 64578064),List(8101573, 55734738),List(3292645, 58435243),List(68340289, 77478591),List(62550206, 28392400),List(81007258, 2459415),List(50033980, 50308344),List(51671645, 29508279),List(76848594, 42192100),List(27463730, 87912054),List(52203969, 16785612),List(77397744, 33978406),List(83121539, 22242973),List(26919536, 35331415),List(82881503, 14653762),List(38173952, 19009980),List(52150868, 38393209),List(70520225, 22812162),List(41454393, 35806695),List(26623418, 78731079),List(78175365, 57317377),List(67472169, 22418361),List(86374628, 58341553),List(14547396, 53976960),List(99650004, 97387751),List(16991363, 12422462),List(70970166, 70162191),List(60415778, 49999135),List(31340990, 8712396),List(10328016, 47177995),List(58432841, 74878588),List(56320113, 93230692),List(19506382, 60300500),List(23919176, 35325236),List(40737357, 58390494),List(51761184, 30617031),List(74974270, 59592134),List(19761473, 4651549),List(67244434, 96451141),List(77846673, 18114210),List(23900340, 20054299),List(83796929, 74132344),List(8199681, 93789622),List(65440666, 28839380),List(96572949, 39002885),List(44560235, 55921123),List(12194651, 39092662),List(4514787, 9213455),List(82804211, 51436186),List(58616337, 81550584),List(95149254, 43124669),List(52989805, 53429319),List(12511028, 21464528),List(30375509, 60501483),List(88977423, 10920429),List(35874254, 91669027),List(80589071, 67136014),List(28575078, 86224945),List(88056414, 84447965),List(12047894, 84161498),List(37762806, 35618040),List(37807906, 78818917),List(15791211, 92286619),List(83680518, 11948430),List(58572478, 42573193),List(34438403, 92827300),List(36321239, 57462737),List(60862095, 30900665),List(21425609, 78119788),List(91224889, 51314810),List(57338117, 8054954),List(71658576, 23244872),List(21485657, 97259968),List(15296633, 73769286),List(49176689, 10237072),List(36040504, 60071559),List(98359353, 39724425),List(8819448, 10094159),List(68592055, 93449980),List(33717943, 72520763),List(1242800, 59931937),List(81020004, 96696505),List(21298809, 73081790),List(8203299, 58015451),List(37916899, 89493732),List(78985808, 47229106),List(47551721, 32187537),List(74383755, 97353069),List(81917307, 28419292),List(97608487, 85160887),List(84114045, 37215617),List(30076146, 46705868),List(75447105, 15119373),List(27766334, 23903924),List(5487613, 91004907),List(28984616, 59677777),List(3637239, 63953630),List(84690585, 15103017),List(45300308, 36416783),List(23323447, 68585921),List(12748569, 56300140),List(44221413, 49640888),List(92035775, 57529315),List(8363018, 8757025),List(77628685, 66251067),List(18426036, 51265256),List(90871075, 75691017),List(9966242, 86058308),List(73536126, 40106594),List(49053850, 68890877),List(22543141, 1377228),List(8963849, 87319553),List(40887622, 48974550),List(42470297, 6744155),List(88457214, 48411617),List(16755507, 57826179),List(44351934, 86393028),List(96159656, 46519405),List(55786948, 79875895),List(76479884, 16913310),List(27617821, 28468370),List(10724961, 39886131),List(99915656, 33854077),List(4817521, 57496677),List(73217986, 96694469),List(11838682, 84837157),List(24952426, 89388612),List(85482840, 62178358),List(21935773, 86738737),List(27142687, 25521353),List(55822124, 74036393),List(43216107, 61045806),List(90790933, 68642412),List(44479418, 9917153),List(71555944, 12053000),List(44278139, 63236944),List(5525162, 48844363),List(46953994, 40121628),List(83053991, 98367040),List(48285118, 38137544),List(19868658, 5594217),List(74003445, 99939209),List(44037289, 24148498),List(20386516, 73348733),List(73612085, 78334545),List(13470117, 98098939),List(29143629, 7767186),List(78723169, 97101617),List(46620279, 34486709),List(35152677, 16295469),List(13954340, 37999118),List(34130803, 33582543),List(14113206, 71590644),List(7064764, 79350775),List(32299618, 90297712),List(91460937, 43791102),List(22805262, 68017053),List(14696624, 74313464),List(88206338, 61392230),List(56541459, 76871554),List(68986810, 67024276),List(47583256, 48542909),List(35964076, 69665974),List(84908507, 85254913),List(35099058, 65836886),List(19762441, 40952017),List(43235622, 40494961),List(31096869, 11926922),List(18167702, 35686899),List(37399241, 89974128),List(53061424, 82281547),List(61189536, 74865146),List(56805596, 2754712),List(4510774, 83745084),List(4705901, 97408853),List(69544748, 82378767),List(70530496, 65993515),List(91244876, 67016289),List(95154322, 49246074),List(87321490, 33876083),List(20255193, 24436),List(85070886, 19183202),List(70182622, 33455606),List(94840361, 77758062),List(49310138, 82835463),List(60344805, 56365360),List(92988410, 42571227),List(46832133, 14550192),List(10332765, 38657105),List(19928081, 86627315),List(89242499, 67968825),List(59399039, 39833864),List(27223161, 60818911),List(81560072, 66909682),List(37552429, 37090452),List(55600523, 1805043),List(11541195, 94311735),List(30450547, 60156401),List(62733084, 82489999),List(69236654, 65800447),List(29324900, 58142606),List(17361578, 67341280),List(83472806, 4280529),List(5781719, 11896677),List(14013287, 56708649),List(71423314, 27427821),List(1972387, 51280316),List(35398388, 43450202),List(10924325, 38708715),List(97367680, 30907998),List(56501742, 52292139),List(82198924, 35669571),List(30470671, 54184814),List(90481033, 91681974),List(86345738, 4340279),List(63834459, 44707640),List(67703662, 16857541),List(4934879, 24456421),List(83554849, 3420926),List(11693227, 28561400),List(27981952, 3892020),List(29499609, 21751530),List(87408445, 20664903),List(32293791, 11027530),List(23890746, 48331034),List(20971867, 87774952),List(22645957, 63762654),List(55919835, 23070645),List(22277277, 44201286),List(47734957, 26810298),List(75939018, 20690167),List(13110305, 99272219),List(91646274, 24748779),List(85105453, 99891391),List(19344736, 4882032),List(45850643, 9812373),List(67799195, 94071347),List(26086325, 41962634),List(59644596, 71893139),List(48789286, 52221153),List(93086761, 8705106),List(47092034, 90829280),List(71349458, 54999083),List(4119149, 65973347),List(83679344, 19483329),List(25311127, 94756261),List(41692966, 33729321),List(6180235, 69025841),List(33098533, 66856498),List(48656864, 45268604),List(93174686, 56112663),List(55189822, 63955294),List(66420000, 35691621),List(8208462, 30405793),List(57715239, 62487122),List(69832660, 4705066),List(65233308, 50646481),List(75588316, 37764172),List(12992167, 294807),List(85179091, 31027314),List(17357719, 43178872),List(48007178, 58518979),List(47086029, 14956217),List(76357553, 94973160),List(24516134, 923907),List(50060860, 14053591),List(16871760, 48286634),List(32893665, 95837897),List(12891056, 85392250),List(24539502, 58318981),List(73375950, 91488402),List(36159569, 64166899),List(10703384, 17325970),List(70150375, 58188068),List(98092185, 62236110),List(92697361, 86622114),List(52553714, 64095492),List(80736093, 36878081),List(43684571, 72623101),List(3231527, 34575368),List(57367948, 18105789),List(73630040, 17464183),List(96409163, 17079563),List(95972289, 16135629),List(46308020, 34135062),List(58095482, 79230060),List(42105910, 55519413),List(16405405, 64668943),List(63190378, 2391716),List(57292013, 80702700),List(76787426, 51038132),List(56997238, 64833985),List(91101307, 25813012),List(46006616, 39247820),List(77651277, 34010814),List(27905229, 90520085),List(83357941, 20762260),List(45410662, 34295324),List(68300567, 34676763),List(16127210, 42629903),List(76129811, 14548566),List(93029734, 59604327),List(77189418, 33573503),List(78538638, 69935930),List(47365360, 61416126),List(32762526, 7035203),List(74173979, 24224591),List(39196417, 59725267),List(17826775, 65773312),List(31845575, 66697700),List(57382159, 67080978),List(8218267, 38886070),List(85236121, 37732414),List(51869394, 19336494),List(17482446, 5384027),List(63970960, 81199289),List(67016500, 52949568),List(14264489, 65246438),List(18724437, 66202188),List(49256487, 77260803),List(90987001, 61994957),List(35617863, 8784548),List(47632991, 37409389),List(83512424, 3581997),List(68751768, 44323403),List(16644169, 7358823),List(41971578, 66280619),List(29074350, 37074068),List(20621637, 63066394),List(86266060, 35410111),List(12889807, 35869655),List(60040862, 8075130),List(82263844, 96250257),List(13661593, 1772008),List(60425076, 97470693),List(45263164, 81683297),List(40362408, 38940888),List(30158277, 88426593),List(74925649, 48977180),List(4220732, 60385526),List(42808770, 49264242),List(30494307, 40566720),List(59662283, 66620515),List(25473337, 64058314),List(44658460, 7177545),List(59673702, 21421874),List(6181124, 10383997),List(62023224, 3526933),List(42667690, 6397064),List(77476921, 57859735),List(83116915, 28375429),List(90560150, 31196901),List(55006459, 85621532),List(42731238, 27724399),List(22597811, 30476998),List(14400241, 14792516),List(33692182, 29768658),List(87778556, 15571667),List(2449610, 92259265),List(72901441, 94737605),List(76225706, 35144179),List(41283129, 21239779),List(16391452, 28591319),List(47283798, 46934771),List(47199614, 10171025),List(83694321, 2703790),List(7885893, 49297896),List(73810324, 27519874),List(3335687, 18005492),List(34187524, 18338656),List(76044311, 22906916),List(30589850, 98103430),List(25934495, 59625111),List(93299619, 94824405),List(59948696, 40874315),List(1276640, 81252015),List(76598245, 59460090),List(87188958, 96655657),List(79451654, 87871057),List(1420770, 76032938),List(73118479, 26652160),List(7922746, 75253131),List(27231521, 1535742),List(94463381, 76390362),List(46716124, 37047429),List(1750579, 8813708),List(39478470, 43858594),List(83303613, 74787240),List(47344101, 95333305),List(452679, 73474890),List(26929691, 13422310),List(17422338, 64856388),List(40347092, 22284654),List(7724907, 92894969),List(68616733, 71952041),List(50114466, 48318956),List(96629584, 62845524),List(11663168, 34428437),List(59746544, 67894378),List(12697648, 21328549),List(2825035, 94258691),List(74908978, 96118610),List(3350740, 44895297),List(81843341, 21405389),List(17319662, 48968851),List(9445157, 1507648),List(50436156, 20739348),List(42984816, 1038461),List(83041681, 69436153),List(19552857, 10483913),List(66176702, 81670583),List(26089615, 17202397),List(93060143, 87300975),List(67900645, 89492446),List(64149822, 94990398),List(17763661, 60592436),List(20307312, 33549223),List(99619489, 32793752),List(44230303, 56545045),List(45733551, 30779468),List(8594798, 18215437),List(9660924, 23950853),List(49412693, 70430196),List(31345386, 31560798),List(767799, 18642103),List(84131245, 46540198),List(52978756, 22294995),List(16667123, 22615893),List(73111535, 58040135),List(73903129, 79596446),List(46922086, 44928479),List(46526931, 29334658),List(85738820, 65841836),List(74002831, 50343538),List(23032042, 70816120),List(87625878, 15702873),List(81808408, 32404578),List(52667649, 18419743),List(89111833, 5269132),List(12045361, 19500473),List(13506469, 66649944),List(67540625, 2989455),List(17602104, 3620687),List(44377799, 98487303),List(57346209, 10609506),List(70890427, 24445523),List(12560598, 10881649),List(22996614, 57212287),List(20507387, 66609254),List(46727780, 54218429),List(14381854, 9002232),List(89750367, 59262281),List(88531293, 31966565),List(98023631, 1702957),List(98963428, 31346654),List(3070241, 18281949),List(63295433, 55776672),List(46809655, 96306613),List(44939930, 91201836),List(20414546, 98163633),List(83542393, 66648547),List(22458169, 36495975),List(13977893, 63259890),List(97117960, 33571741),List(32952644, 82872236),List(20424737, 88039568),List(80501354, 10871755),List(80305791, 36344902),List(10661962, 94278248),List(14499944, 15379503),List(30164007, 51343329),List(75993403, 99702436),List(90430966, 48591760),List(21849169, 24272281),List(46323448, 60205988),List(93003630, 8608147),List(32554844, 21150189),List(13582544, 97698843),List(88974120, 64140508),List(87908367, 43120509),List(95231952, 59125264),List(34075485, 51842968),List(55353616, 96350712),List(74543888, 56950913),List(2914728, 43613568),List(65285633, 95752906),List(36854450, 48200342),List(85952807, 26830428),List(32506597, 88606821),List(75312763, 5597685),List(41981417, 26130460),List(72319558, 28859578),List(15036677, 36716835),List(8792595, 11960319),List(73713522, 22044337),List(35939100, 98151325),List(22429413, 45359663),List(43610242, 83844199),List(31755499, 72684747),List(63849522, 50186606),List(40394428, 94716616),List(90253847, 3361186),List(17621283, 44755882),List(59781806, 34135742),List(98091124, 14280448),List(99002330, 21925320),List(20406847, 15031737),List(78895832, 708477),List(39058202, 1451511),List(63227791, 2009897),List(37584386, 32731200),List(92756284, 73753053),List(57506122, 28010938),List(50110115, 75355023),List(54869182, 18702517),List(58573363, 80554211),List(10031799, 76159707),List(14114633, 22711436),List(12995584, 47076595),List(76123553, 58875210),List(92790010, 13804683),List(64567049, 12248389),List(83286920, 3631577),List(24089351, 90441406),List(42467355, 33432122),List(79167663, 33685677),List(71582671, 17105585),List(18045056, 22044281),List(98874452, 33550958),List(91018636, 8473309),List(62159162, 9351906),List(9715890, 77264888),List(51714691, 82670255),List(19817826, 28247355),List(61981190, 60182864),List(46222497, 3187872),List(81877628, 74182342),List(58211927, 72818005),List(23182015, 53520264),List(35353098, 86501378),List(76922818, 69146610),List(90876067, 15868878),List(38251727, 81940292),List(76509848, 96964307),List(50650384, 58705582),List(69337435, 45448441),List(68245328, 74243147),List(38287521, 75859748),List(89105181, 58911428),List(82670790, 39654052),List(48798824, 86106137),List(41177851, 71227298),List(11788108, 84373066),List(75710681, 55583652),List(99103955, 69610148),List(38596199, 73247828),List(3797991, 64622832),List(69131818, 90245522),List(40445200, 21661875),List(67913762, 69000022),List(10723902, 75554541),List(3043802, 97556603),List(98907683, 89893634),List(83513889, 1640404),List(22314371, 2760346),List(93963466, 48056650),List(37510273, 64308409),List(17793927, 90504313),List(24290318, 47397371),List(81858198, 81602745),List(46871993, 88530219),List(93186080, 99884595),List(31937957, 10636449),List(88434264, 77390289),List(99684995, 33317918),List(84606601, 54284443),List(34486747, 72229755),List(21807374, 47273918),List(17883419, 31180049),List(45883097, 78530125),List(1974874, 58740878),List(65999662, 62232830),List(21026896, 44430783),List(5168199, 90649186),List(43379761, 46182918),List(26587697, 6846881),List(9196809, 95786941),List(68244888, 83436142),List(63382036, 5578084),List(82882227, 4474570),List(61553589, 97892726),List(84044958, 49446558),List(49745943, 35015885),List(70099767, 71531775),List(94909091, 21149118),List(82135187, 77427696),List(11394231, 81976928),List(18876563, 76316986),List(25735691, 37848189),List(87561689, 81380887),List(12524873, 12509648),List(13696947, 54577151),List(65546389, 19835046),List(68973729, 24810297),List(49362693, 68883590),List(44157039, 35596394),List(56781096, 45910737),List(5061704, 18967513),List(99050529, 11318870),List(57065598, 67056564),List(42769217, 35498878),List(83325519, 86386338),List(32100545, 67354567),List(24967875, 3480603),List(66015662, 30192570),List(79541840, 73227819),List(76103524, 81551164),List(31605144, 40627440),List(39582743, 25400410),List(47504914, 77841898),List(56387402, 10073000),List(27594567, 96970803),List(62549845, 8592080),List(74983047, 51989349),List(10157298, 10945735),List(72960488, 54497256),List(13101026, 60360841),List(30241185, 73908192),List(31484908, 28204939),List(4498543, 79343728),List(32359584, 5849654),List(15427829, 57492811),List(86449603, 67443645),List(29094143, 17461775),List(52225083, 51318692),List(96043336, 33961815),List(84835463, 96913330),List(61149033, 92720143),List(92199869, 69452638),List(2987008, 41542081),List(16754175, 98964979),List(55349522, 79623468),List(64318270, 33440317),List(24037281, 34791870),List(59386540, 12602412),List(91485809, 6080893),List(3630171, 55973296),List(90266019, 34279032),List(83862071, 44411684),List(78485850, 60080223),List(61651036, 89474387),List(88687590, 10113420),List(2460946, 25035354),List(39654908, 70139665),List(25254605, 42243778),List(86360643, 13609759),List(27387426, 76899887),List(40173445, 96393848),List(33550419, 99048667),List(77111331, 30543883),List(43887702, 74632621),List(84081135, 97584160),List(83643359, 26834144),List(9861423, 99894602),List(96501195, 19196987),List(79373359, 7315426),List(53939289, 19425296),List(61319685, 49946445),List(58988403, 84807549),List(70748128, 59261494),List(19315305, 15242571),List(76157174, 19945783),List(44670322, 75890430),List(41220359, 22692926),List(5851318, 42195961),List(47044976, 41240715),List(54218642, 38720458),List(42491891, 53281420),List(22532518, 1934119),List(18783628, 57741102),List(69902800, 86548853),List(23472643, 1048054),List(4788306, 36731387),List(7061124, 85354972),List(75131062, 13447153),List(89328050, 19601063),List(18672004, 97662456),List(31119490, 53965084),List(69894308, 4883167),List(4574294, 45341597),List(5413539, 25971618),List(58663855, 84716279),List(94264599, 93669915),List(60093623, 40124941),List(36013911, 90613590),List(85201223, 99537885),List(76742165, 9684054),List(37562068, 62029062),List(74300772, 73598275),List(93071898, 29775132),List(96506762, 62779108),List(39898678, 20086570),List(79162650, 38547607),List(32544506, 24958333),List(70150571, 75213846),List(92294859, 60291601),List(84111009, 9244957),List(23708627, 26474523),List(9577632, 53742700),List(13738675, 66477971),List(91780192, 81862992),List(91093809, 2369115),List(16726339, 47527921),List(38487191, 84244044),List(38075030, 19703637),List(69788315, 89756048),List(73990447, 28858522),List(15281707, 23354886),List(58268637, 76956218),List(38946623, 7464982),List(17877411, 3976705),List(3197170, 77668037),List(17290554, 10097779),List(85753867, 56537438),List(60239686, 35684709),List(15753776, 47031028),List(83533290, 43783580),List(51465624, 69385072),List(74722875, 16039990),List(88708938, 89790173),List(50080237, 19766403),List(2452833, 66866101),List(13239626, 54192844),List(93823653, 55719321),List(66728053, 5045964),List(60090164, 39887657),List(54749615, 60864926),List(79213579, 94394384),List(74454782, 30816338),List(11115196, 23328002),List(78304863, 62427411),List(11867126, 41616215),List(38425824, 67893093),List(39885756, 65539619),List(33087293, 9944431),List(39043207, 98055067),List(69825760, 52899699),List(4357079, 85627233),List(96470216, 63964266),List(29181086, 47536242),List(93954465, 99172308),List(38726358, 28062743),List(73599990, 21283455),List(22862585, 59643139),List(96565763, 65180760),List(22435419, 90261201),List(68543565, 37145722),List(96013400, 41446992),List(92935194, 21336163),List(87763412, 72231286),List(48824690, 23596128),List(38049148, 44400751),List(15879904, 63951128),List(44081339, 78567501),List(40752460, 90799501),List(75865778, 29316809),List(68488597, 95888434),List(4796822, 84046259),List(29544560, 78705798),List(65028540, 74212470),List(58919526, 57281407),List(89114953, 24601985),List(63364947, 6192759),List(78674205, 70700230),List(39273714, 37681703),List(28022218, 79946540),List(10164799, 41776632),List(38659806, 98454210),List(91644449, 64116988),List(77538206, 15770791),List(74871976, 10841718),List(54372341, 85230596),List(89456589, 96213933),List(65091497, 4633126),List(18262253, 37318335),List(83130185, 47123853),List(32330301, 53452053),List(73051112, 68965512),List(59432919, 52496133),List(66422838, 44820852),List(95189046, 27421369),List(25584741, 5452732),List(49281925, 38606659),List(34446635, 7816183),List(99382811, 89397814),List(46950226, 3437906),List(61969833, 20874605),List(35557848, 64720782),List(12594407, 75446431),List(10756509, 83063235),List(27729283, 88400929),List(92427740, 21921205),List(81701307, 98543178),List(95778263, 35124875),List(74426629, 21039938),List(40488358, 36248213),List(41138935, 95011838),List(3169293, 96000611),List(48337260, 83555759),List(54411556, 85218464),List(45906674, 40646396),List(52826935, 59599007),List(60185877, 82417840),List(2262611, 51033551),List(96582505, 53616167),List(8744094, 10347607),List(46159847, 65522412),List(17297058, 93212466),List(18125249, 17653898),List(92390673, 29552007),List(56148314, 70492690),List(15258714, 41296913),List(86381537, 4199259),List(29663672, 84390598),List(76735022, 28221380),List(45467744, 55521411),List(77015884, 92004740),List(37764601, 92578534),List(62393853, 23140705),List(57197036, 33281438),List(72483994, 62886858),List(83955130, 51437066),List(48319673, 53498148),List(22305070, 65722036),List(9719376, 23062272),List(37522210, 43615679),List(71663643, 33765534),List(37691640, 26174907),List(21467070, 45364254),List(65075105, 38460671),List(11722137, 14126198),List(39983166, 34446281),List(25907210, 34712099),List(7755262, 5200477),List(74125801, 53738469),List(55958364, 93963214),List(83527602, 4641584),List(63118054, 40160662),List(19859425, 20320849),List(18782670, 56103946),List(81221701, 66318556),List(2753713, 4124933),List(82291115, 21496161),List(51028386, 48806718),List(16367830, 57539856),List(99766900, 60868676),List(5040094, 66597715),List(9725356, 16515972),List(30915592, 37157883),List(93810538, 36002913),List(56169357, 50946160),List(7007819, 31494882),List(37687145, 36287823),List(52091243, 97726934),List(72447065, 24207915),List(14102962, 33789067),List(57297735, 47149236),List(10149975, 42907677),List(62523189, 3122497),List(19729232, 51013918),List(26738164, 13522511),List(99092219, 22962095),List(64255224, 44203047),List(5452064, 89639163),List(91706570, 84434449),List(16091773, 84081455),List(6146224, 71444301),List(12142539, 19478676),List(59173604, 32122744),List(5149659, 94043665),List(28090045, 44375403),List(92366821, 44109176),List(32031708, 94482938),List(14939122, 40476053),List(78563072, 54341689),List(71820119, 44177286),List(53761422, 85853238),List(23935012, 57210246),List(54827117, 99033807),List(67446650, 96048847),List(14637901, 44192990),List(7651743, 60365843),List(59961613, 23283404),List(85757321, 33570042),List(63586440, 34936553),List(92016440, 57176377),List(44614393, 20184278),List(96681878, 83360381),List(44102910, 3948571),List(83929657, 9302135),List(72900141, 31275616),List(27025285, 4238907),List(71094898, 79244222),List(47149792, 61848609),List(98036308, 64830107),List(5896369, 20715435),List(31925366, 31277232),List(56953430, 56897047),List(25391598, 81223046),List(95045795, 76958861),List(39839164, 59882373),List(9549518, 1448038),List(36156186, 82723918),List(39530530, 26484987),List(61295619, 36131276),List(75394368, 24155958),List(41966897, 96491122),List(86725596, 57947414),List(73106868, 51650602),List(8268645, 3380936),List(75701745, 82736989),List(29538497, 14197445),List(32020860, 46326157),List(68493957, 55199970),List(85790414, 7568593),List(99921605, 43212478),List(29383857, 79337561),List(70339941, 38995387),List(42985285, 73650651),List(94253371, 51525791),List(22698090, 15327336),List(85178477, 80992501),List(15981204, 26953231),List(29331118, 97530078),List(9074129, 94996401),List(12190425, 75654310),List(78205660, 24339749),List(35548698, 30492965),List(13750576, 60623355),List(37609748, 82814299),List(97588951, 69020987),List(59125509, 35225418),List(40490809, 93969534),List(4637874, 72212182),List(93979863, 38573876),List(45493515, 37635864),List(22241198, 35204090),List(25069180, 40194432),List(87710047, 30776129),List(82320569, 66155590),List(46505736, 99582756),List(24351503, 30679102),List(95972944, 13184348),List(70576496, 7946698),List(34581135, 98459871),List(46033272, 81333925),List(16375804, 99380267),List(4886207, 89433521),List(5690656, 34055206),List(31432524, 54110894),List(75672578, 13284697),List(41768372, 89659052),List(16131603, 4399325),List(37352198, 39443929),List(28814631, 45387756),List(19456123, 23695220),List(27567363, 24432245),List(40703871, 988640),List(99528985, 77866804),List(25727988, 25943456),List(29285471, 87097653),List(16040677, 97647433),List(5724552, 20112951),List(22280938, 98276751),List(30594084, 84219948),List(54012058, 72202592),List(3867044, 9621857),List(74838780, 81208070),List(576595, 55937137),List(30214296, 54330974),List(62305383, 13601045),List(19915450, 72301903),List(96450309, 28328549),List(97183944, 70017152),List(74920732, 37730990),List(89281900, 57362953),List(1295709, 4915162),List(88795814, 17538840),List(31495846, 29414156),List(4100779, 27659074),List(91488541, 1349637),List(76179568, 53785965),List(15982739, 93851031),List(84280427, 66046022),List(13875463, 92846063),List(58769240, 59656047),List(98798821, 26216175),List(25102628, 28735107),List(49841201, 94398053),List(44070847, 51594845),List(25180292, 95581615),List(79284423, 53621615),List(58404614, 8769700),List(96959481, 30284502),List(46226380, 93274493),List(87699585, 36034865),List(24720837, 3851567),List(88246110, 71153867),List(41833675, 7765711),List(59641147, 54946511),List(58622037, 86371744),List(83092540, 77326243),List(95880338, 77326890),List(52581953, 16984179),List(10749396, 84006930),List(25141273, 13467115),List(15240973, 44606133),List(46185416, 40807899),List(55548866, 70075863),List(60876719, 17951101),List(70398450, 94639022),List(19715811, 63921103),List(13522791, 63511614),List(74863048, 6356714),List(96890986, 51876399),List(12542527, 59976435),List(34069097, 72225823),List(73961077, 42510006),List(583194, 39976438),List(80829582, 39311626),List(66287989, 65490934),List(5696288, 3855327),List(70369037, 21727403),List(64152601, 38447985),List(99499571, 16678790),List(39044011, 37356578),List(13958696, 1638212),List(3789404, 27717931),List(89686736, 68894710),List(10020102, 12362371),List(21158041, 68132520),List(17767434, 59449383),List(56835342, 72861764),List(40164692, 53569896),List(56215391, 13064900),List(76867746, 83333652),List(48027363, 95259606),List(24554495, 21158553),List(10196511, 51881676),List(55167206, 46538447),List(27361651, 48938242),List(10014697, 78868207),List(74803641, 62435741),List(79565095, 72690844),List(21349746, 71971020),List(71892185, 35727659),List(29612730, 99312096),List(95334171, 31393638),List(10333353, 49955775),List(46794966, 26816265),List(25417642, 56139333),List(35454388, 22262984),List(99094608, 63309872),List(77486359, 12526484),List(12132367, 20995291),List(35295359, 19814863),List(99525351, 92649639),List(10290749, 59315912),List(58096198, 98059212),List(36687639, 32667122),List(22720684, 7869165),List(62771599, 18052383),List(84939958, 49981062),List(23641349, 24555851),List(78475302, 27868531),List(97584940, 20932935),List(26166323, 26631707),List(95902213, 20931691),List(37898945, 96985981),List(4054103, 32277088),List(81132144, 33424447),List(88950128, 16826919),List(34191221, 75036942),List(23877775, 91998834),List(11955818, 14773489),List(23664992, 75572499),List(76958839, 94151755),List(35186518, 49781836),List(17903083, 1629714),List(33064980, 79071836),List(76846559, 36308046),List(26513308, 37933658),List(62269861, 95962490),List(53869735, 54601758),List(39737300, 22645933),List(85420938, 61265409),List(24564270, 2261813),List(10106885, 42926094),List(59721032, 91342185),List(89267102, 62511520),List(24282349, 37840962),List(54894538, 67578868),List(56842957, 40769363),List(19067788, 4699278),List(5480293, 10632951),List(46778195, 79324600),List(78759648, 7971069),List(7587903, 68894898),List(63550629, 19138696),List(79694802, 9324081),List(28109437, 88164276),List(32883369, 91326134),List(77397654, 83565819),List(48748870, 46618009),List(48412698, 29406780),List(6897965, 22225955),List(89170200, 82360756),List(64740386, 35147937),List(20985495, 32809836),List(79126922, 61240396),List(49197066, 13629473),List(32422101, 47967039),List(13970623, 62380452),List(85668221, 76979686),List(66671052, 99494345),List(32464108, 31148873),List(29252498, 2607504),List(18278952, 22545434),List(58056429, 19151022),List(25352864, 2992116),List(49740675, 4315514),List(73299739, 58077527),List(62586132, 27864976),List(89413125, 19956630),List(50521134, 63691273),List(93401103, 97755709),List(54727759, 16375966),List(91760580, 13399885),List(96707224, 41425028),List(30049324, 21112004),List(74097910, 15220059),List(42402112, 36731885),List(95565643, 50558345),List(23193346, 10156221),List(43022288, 31330533),List(68790022, 72965690),List(67937543, 59150524),List(94895431, 11663353),List(44024834, 4289652),List(35169053, 30159294),List(59586112, 95742343),List(88611494, 14967383),List(59170420, 69418796),List(20806122, 2405885),List(26717006, 22799589),List(16812284, 6519447),List(34424352, 94696070),List(28421043, 55102497),List(24140061, 4534555),List(58353289, 19334856),List(91567133, 14729943),List(1862220, 47476178),List(5975758, 71670930),List(62884768, 69186507),List(97214555, 68130002),List(36804429, 4992804),List(51388515, 5417617),List(88822368, 7040010),List(85220791, 12930276),List(94026617, 6879930),List(95814812, 66949424),List(80524497, 5735888),List(89329471, 60242763),List(98417763, 98502973),List(41464428, 64472549),List(1201106, 66423678),List(45335668, 74321707),List(30969099, 22488278),List(85942918, 71313460),List(12727392, 99595189),List(50117563, 49083441),List(96435691, 98606550),List(63776160, 29820347),List(24778388, 42283102),List(99847546, 28162729),List(13561056, 17376608),List(11439342, 6671543),List(89036838, 15270778),List(12596701, 89416862),List(53261628, 18544746),List(70837132, 15122810),List(70003798, 67125910),List(94641106, 73205815),List(15096272, 92750892),List(37120866, 51576194),List(9608276, 69245066),List(32789321, 90481986),List(26012738, 77455919),List(47053989, 58562360),List(92729621, 42737878),List(26181614, 24190254),List(47445126, 1010460),List(40267840, 26518862),List(12179176, 42200774),List(82658027, 50266549),List(12113808, 42307088),List(81944412, 64432993),List(94346189, 65282535),List(70899310, 17710425),List(58495320, 43611140),List(69970478, 95155858),List(15219921, 25144027),List(69267096, 56101141),List(70820312, 40816320),List(7139309, 37331379),List(70209750, 76022273),List(98417074, 43657598),List(21300136, 64697057),List(91352420, 50052783),List(65790666, 83261475),List(40823618, 90457769),List(52207777, 67230655),List(70278953, 81847450),List(7803644, 24053621),List(915571, 16555786),List(53224490, 99917731),List(38998096, 93030615),List(90433566, 38045847),List(10487415, 79060911),List(97034108, 31120108),List(35592853, 27117494),List(32459791, 80424379),List(11181275, 27109978),List(54540454, 54688991),List(13038313, 66541694),List(42704699, 60385061),List(32027214, 32818521),List(42737955, 21391158),List(79769304, 66197827),List(89115267, 79718986),List(69273430, 35683820),List(93433138, 14967566),List(74282785, 12724700),List(22312232, 83076374),List(95670723, 96380374),List(80769082, 30675075),List(30708234, 84888680),List(66682, 12461964),List(40635614, 26805456),List(15186182, 51949991),List(85331103, 24196184),List(9025874, 593885),List(34121353, 45265403),List(77409858, 84301895),List(77181407, 27127052),List(46699691, 58276813),List(23696369, 49518420),List(44993023, 3082164),List(80854636, 45490275),List(20279675, 43276532),List(96779665, 30897856),List(26343079, 93712876),List(13803049, 14278610),List(75845966, 16721214),List(95441892, 93240068),List(65677666, 90714887),List(76918997, 65190038),List(56642470, 22144292),List(22032725, 13467196),List(76085473, 12671528),List(53609980, 44531396),List(33178218, 59494439),List(17945874, 11333372),List(25971948, 46146469),List(61258700, 33687799),List(90525895, 60567594),List(88242356, 28954356),List(41351676, 84160936),List(80184050, 57546057),List(581639, 14194543),List(56069623, 77202345),List(67573537, 3852937),List(21169716, 4389753),List(86216369, 67321692),List(13361687, 62961030),List(50034720, 5278728),List(21415431, 98501124),List(9984097, 19847326),List(54892475, 14992496),List(49905578, 99773194),List(44423812, 42650128),List(67281833, 44755941),List(24335849, 35569281),List(10654185, 30696219),List(54536774, 50410217),List(45599606, 69768660),List(14187314, 93946232),List(63775369, 30539064),List(27643971, 57858776),List(27938804, 46910542),List(28916366, 32197638),List(8954361, 80384320),List(49266740, 35956757),List(87518380, 51986133),List(94386698, 7739802),List(96684769, 94598365),List(10381522, 86395712),List(57104134, 39699698),List(89608957, 55903838),List(93533632, 59069649),List(48254397, 38251198),List(95821518, 86228952),List(16413300, 11337575),List(81608254, 18016366),List(18216612, 21556936),List(38012726, 98131853),List(19980144, 49568964),List(40093196, 25530352),List(6091651, 88578116),List(31060674, 81842441),List(91700851, 74353749),List(55441245, 61044800),List(57654054, 56061730),List(23274486, 64873438),List(9046695, 64096277),List(42466401, 97351637),List(70525648, 21554745),List(21988455, 40009291),List(90332523, 97692778),List(38460661, 79591779),List(25550948, 76894427),List(14386234, 84315762),List(10029672, 38245711),List(19341723, 40980213),List(60275452, 67026068),List(36942226, 56337256),List(38459790, 1216900),List(30749438, 49268708),List(54656278, 90806442),List(60996269, 34167020),List(62333676, 97908642),List(62862911, 39058201),List(75751901, 42541548),List(23394748, 32484286),List(70435937, 34750787),List(67687431, 6420957),List(11100568, 99318859),List(44449907, 75955263),List(19736624, 39376319),List(97377612, 50407449),List(95917238, 31834374),List(29351860, 25545642),List(66637798, 57589884),List(47478053, 15034610),List(6605369, 41898147),List(98305965, 68109812),List(85790940, 37553284),List(93101444, 45127470),List(68314836, 80085715),List(11408894, 54122680),List(71955244, 43508680),List(2071155, 65724721),List(82204421, 90521394),List(44755806, 10965565),List(86384093, 72065861),List(14756142, 95981780),List(86780141, 91606611),List(14096476, 44653116),List(2379396, 86641944),List(5665225, 64001811),List(61830594, 37993993),List(99609659, 69267935),List(70034857, 61771273),List(13376615, 39129429),List(74638256, 93658009),List(67183386, 96547110),List(64310963, 49948899),List(77538784, 73544258),List(27816203, 92462523),List(17369786, 10363430),List(85394673, 86420628),List(8324199, 60400056),List(78910860, 88121492),List(70342602, 38971489),List(45917222, 86479483),List(77551396, 74772972),List(99128288, 51652298),List(46339799, 5002116),List(39405453, 71375568),List(90676880, 70901111),List(13684246, 52282798),List(49573594, 13756069),List(17792374, 22517267),List(2935570, 5622351),List(25232544, 8469774),List(47389429, 45963484),List(83818659, 34824276),List(60557755, 23817137),List(10066076, 98494116),List(49222632, 54549603),List(70622309, 74088250),List(73463505, 30563264),List(258580, 60655497),List(54172703, 68849425),List(82695046, 82161379),List(41349628, 14468269),List(59194126, 28103466),List(110596, 94399952),List(32327904, 38051532),List(23573446, 6707726),List(54520314, 23876627),List(41616031, 43889411),List(50209607, 50085129),List(17235604, 70964773),List(66185022, 57369245),List(59166988, 75180696),List(78029538, 3764830),List(57342002, 97643554),List(39266364, 71674579),List(88175575, 15288637),List(33238406, 5155852),List(67386630, 96954672),List(61661129, 60075143),List(4979231, 48317656),List(42514863, 21977706),List(52354701, 70324140),List(20169441, 74846370),List(67360960, 21311443),List(26240617, 69634914),List(12027289, 32581567),List(74044251, 131034),List(19866626, 14432271),List(89271637, 2438581),List(50107804, 7007761),List(35647892, 71565794),List(19547614, 4166371),List(7583633, 8214354),List(67449491, 1549631),List(81998962, 22861649),List(45886585, 83646064),List(3219567, 25433438),List(56948794, 43510808),List(80163293, 80540871),List(38118074, 45470822),List(54529863, 4680183),List(31919609, 10953059),List(42516260, 41200769),List(40743737, 59630392),List(6630557, 4713902),List(85806579, 3014636),List(5678430, 48270615),List(36742663, 77083311),List(74700982, 74128485),List(62229321, 58352851),List(95019875, 42853754),List(33414240, 50976038),List(74175508, 70480307),List(82109573, 57356644),List(36607130, 26295460),List(41063850, 74466776),List(2776927, 51087934),List(70764718, 41616867),List(21503351, 34089733),List(89545568, 4517282),List(36789105, 54479616),List(58784731, 78644531),List(70736065, 34332292),List(6336924, 85967559),List(27038033, 32338844),List(64565244, 32349379),List(27267341, 94988808),List(26302602, 22748123),List(61462564, 7418039),List(3170414, 65636778),List(89574748, 77001259),List(94109125, 87828136),List(352558, 44025035),List(56272173, 29685407),List(39859441, 72567900),List(57012909, 22724988),List(99176364, 72475016),List(96409487, 6476264),List(74788668, 80821639),List(12451658, 9581030),List(14082220, 47193476),List(36483559, 65561911),List(35521885, 3060873),List(66077742, 80530078),List(26670332, 19046118),List(58050307, 12377266),List(719531, 54401792),List(24218388, 36382546),List(20435275, 97689965),List(40097140, 50539321),List(75599706, 75010468),List(71767689, 98533388),List(98517341, 12719402),List(90872387, 29526352),List(75252277, 2930018),List(76154637, 54762837),List(49972705, 26572084),List(29016457, 77602725),List(92362705, 49324206),List(99649593, 3953858),List(4297827, 9267231),List(79901292, 71198954),List(72287094, 29752956),List(89520262, 58558151),List(88386542, 87937421),List(85626692, 55171831),List(79857809, 42012803),List(94959847, 99016776),List(37727035, 9863893),List(35720221, 82293396),List(41861012, 90352920),List(54441246, 27295657),List(14308174, 80874894),List(89447047, 72811426),List(28717759, 31544144),List(57420062, 80148026),List(11036354, 57412905),List(90628669, 45086770),List(24496473, 57332125),List(63333667, 42627381),List(47560937, 20398846),List(50838430, 39206833),List(92448144, 28813985),List(25649450, 87530621),List(97816237, 84240516),List(75054287, 62766401),List(99032260, 41000108),List(41028925, 95427326),List(51137039, 70472915),List(57014957, 24028448),List(28843118, 27921583),List(84046971, 99615111),List(40506228, 38298220),List(95228470, 80196609),List(2556558, 4069231),List(51769442, 42494134),List(70547899, 46071882),List(97529118, 24759204),List(17739434, 593199),List(70422293, 12379386),List(23483342, 75762874),List(93205968, 64374216),List(59770372, 80785570),List(5270589, 59679487),List(14601409, 95872397),List(52675514, 42967654),List(76101047, 63193055),List(2552209, 48871974),List(5159235, 37045027),List(80934428, 7112381),List(18356426, 11546319),List(26709875, 86382479),List(94454533, 44515007),List(26379029, 14916730),List(85480297, 68959869),List(4070399, 38716377),List(42232614, 23753712),List(52123156, 7746164),List(22258273, 73996797),List(81892519, 94805302),List(2337860, 78546446),List(57896828, 22768801),List(98339930, 12393543),List(15590757, 23088262),List(33069324, 80295477),List(95514589, 9273286),List(85934103, 32167721),List(66597620, 40932708),List(68678952, 11499061),List(62846366, 99312716),List(34580536, 32349808),List(82350322, 43964253),List(14541780, 61527615),List(47886603, 10496397),List(679591, 60450733),List(63313441, 84575800),List(59764585, 85617376),List(34561854, 37138169),List(94371318, 70006440),List(52520103, 48571877),List(15276200, 42356454),List(43318600, 94138755),List(2605058, 70435912),List(2456233, 76990100),List(23061169, 45158610),List(48324170, 89514490),List(56438238, 87535373),List(30384642, 13200071),List(84935899, 69798678),List(51640574, 3819783),List(59474342, 90824860),List(45990232, 6028561),List(41404340, 76906600),List(74572559, 1675564),List(57928421, 73650601),List(89721352, 48595070),List(98757851, 21397285),List(33194946, 25329815),List(38290870, 63562434),List(84012666, 72508663),List(62253200, 94930210),List(58804156, 13335103),List(93951063, 9432585),List(76761119, 11817192),List(64183388, 53324212),List(1616058, 82655182),List(55730976, 85899686),List(19600194, 32022823),List(8734095, 73429046),List(45688141, 89757718),List(91582361, 32575195),List(18768283, 7309735),List(82416440, 23510043),List(89238, 86076548),List(39754125, 48768109),List(57469274, 82453979),List(80132300, 26861679),List(24708904, 87267078),List(54165258, 32382698),List(59362103, 8128321),List(74350820, 56692738),List(36369082, 38020918),List(61394400, 50519728),List(90686750, 62765470),List(54322652, 67207609),List(18874152, 91985811),List(41099975, 61183790),List(83734906, 68816148),List(66883498, 6952612),List(8884957, 18972901),List(15410096, 2597854),List(53840904, 26588973),List(82970090, 2136657),List(96885168, 79044228),List(31666704, 55813514),List(49206221, 37506273),List(78344986, 76094329),List(28207138, 94663807),List(9782222, 11713424),List(71119527, 15124143),List(79904016, 36632126),List(44259563, 72463598),List(3317729, 79520541),List(84379448, 35518775),List(66777988, 82201096),List(36304837, 16507551),List(36970191, 85001857),List(49965898, 36371373),List(4018926, 6240643),List(28946620, 53425682),List(14007159, 1813164),List(5688343, 96348695),List(29415807, 8464645),List(71702701, 17239973),List(73575956, 40303757),List(81757595, 92329933),List(76793448, 82789777),List(32354765, 51118822),List(36689246, 36903746),List(18271822, 30271389),List(95691233, 88511752),List(54068749, 79186529),List(67794810, 23339233),List(86863188, 76030091),List(3631132, 7860151),List(19320268, 63882689),List(5492146, 66447350),List(32481066, 68574480),List(43680186, 65247059),List(96924858, 54907630),List(13873360, 76132583),List(89602159, 29272488),List(13211091, 14497157),List(86676058, 64638879),List(35701467, 40639403),List(13197620, 76977492),List(56364928, 83184344),List(20510246, 62867299),List(75437123, 25961278),List(12887715, 10525008),List(27678463, 57674917),List(58078504, 17355202),List(55385404, 50950295),List(12803383, 37037315),List(31472005, 4542409),List(57695744, 10868724),List(10358688, 88385416),List(37492464, 15316061),List(92890241, 71503872),List(36309231, 67760441),List(32087841, 29229162),List(95904972, 51540969),List(10375297, 27115928),List(42431507, 69033038),List(26482583, 32631190),List(47468846, 51152733),List(42240390, 60551683),List(72561589, 11607026),List(58847517, 60029368),List(17067418, 7038480),List(99611261, 34030184),List(81096538, 83470467),List(54702309, 75696977),List(37651473, 81017492),List(74000298, 24525618),List(83327323, 20641636),List(48192435, 8744896),List(89053867, 35390646),List(38922301, 52593211),List(96480845, 30009029),List(84918001, 10361958),List(76658195, 21844395),List(35905632, 87686551),List(87911341, 80868793),List(31943716, 88072590),List(27581723, 24648761),List(32439823, 72712349),List(18555600, 41490647),List(90947294, 30627855),List(18536989, 86712405),List(48203105, 8068734),List(88132695, 36378470),List(77577100, 81609265),List(8582393, 44435040),List(78296909, 48785637),List(6005941, 51614880),List(60823708, 36341727),List(82648815, 69601261),List(42798222, 57776842),List(54519027, 84738541),List(45440475, 64653806),List(39150618, 86065182),List(50079074, 86390437),List(57005084, 77260434),List(36172076, 72935712),List(33883937, 25392969),List(20370957, 7185338),List(34342072, 84504678),List(26995073, 95911436),List(60617301, 11996737),List(34585848, 85990807),List(57004034, 15683944),List(22330927, 22362878),List(89008818, 93076540),List(97623037, 57594981),List(39101682, 9901728),List(81652955, 81270843),List(14542090, 53112996),List(77219956, 45428881),List(47037292, 53303856),List(71118238, 38857440),List(92338033, 4752990),List(81489652, 11163772),List(21082933, 48110252),List(24427848, 52202324),List(80895061, 48712468),List(71162078, 84558521),List(16171097, 79270689),List(14257393, 65895963),List(27319977, 72062131),List(16800709, 21659295),List(39058138, 61569734),List(54947379, 88509679),List(11857411, 99814365),List(85848885, 13514590),List(36137628, 63349788),List(73839963, 76095732),List(54926067, 55148049),List(68440969, 23372593),List(26827087, 39542864),List(25183460, 40146888),List(12267902, 4481871),List(8380601, 59168825),List(9746454, 79555430),List(9294295, 20913517),List(59347229, 83568217),List(93156217, 14178226),List(54742217, 38841260),List(42765707, 9004263),List(33399760, 1432227),List(86481948, 65105049),List(18201948, 48298604),List(41335458, 55384002),List(30492258, 58884231),List(28045116, 17506965),List(82957888, 47814968),List(69273467, 28639815),List(48575706, 3087582),List(37940272, 55478205),List(587143, 65533103),List(57884188, 80825218),List(16797955, 1359496),List(7725903, 87377579),List(91728682, 26293826),List(8427190, 51168023),List(5663559, 92729396),List(31094960, 1925844),List(39260462, 43025849),List(59266568, 69339192),List(64517460, 39143074),List(77086788, 61443104),List(13041448, 33735013),List(20763852, 73748509),List(71777149, 57506345),List(18953354, 66216353),List(8827221, 51904563),List(55234988, 28365493),List(24994384, 40444334),List(48672166, 77576667),List(99301797, 6429707),List(17592256, 67920395),List(96384700, 2546685),List(46701868, 19901827),List(22655095, 78889458),List(33951180, 5845768),List(90931235, 660013),List(2734902, 40814001),List(79331785, 99329066),List(63106329, 37490115),List(47831134, 50775943),List(66303854, 7505700),List(86167734, 4885168),List(19297734, 56768908),List(61306104, 20055683),List(39237575, 6945152),List(46245982, 60135082),List(50644461, 87495184),List(73912653, 41907605),List(83172591, 41190904),List(74984472, 19257546),List(95755877, 50320334),List(46209882, 4659839),List(78014049, 66758063),List(18050344, 55912499),List(78909024, 69469220),List(1563274, 20639568),List(72617081, 46379813),List(52045814, 13267117),List(59308967, 57720695),List(72627727, 46848976),List(11641773, 23876119),List(8325887, 8591816),List(35258140, 11680120),List(62483360, 89854041),List(19901274, 6774804),List(1843616, 70530030),List(47199393, 73732471),List(30263263, 16320838),List(481831, 65735794),List(46667995, 47188790),List(64885522, 84851383),List(9130735, 5679496),List(5393515, 92305551),List(88884684, 84755977),List(64078109, 52970054),List(88562525, 49618615),List(46498025, 14038038),List(16819258, 96651957),List(42267869, 43178343),List(40701641, 11124919),List(65408488, 11207229),List(22131593, 70566872),List(56836433, 91288021),List(90354154, 19503469),List(69169495, 55138943),List(64510195, 43940519),List(59943379, 55814811),List(82628649, 13965432),List(83888290, 16357959),List(55107544, 28616789),List(64551301, 38799143),List(37290687, 50259482),List(77253055, 76323166),List(13949889, 68556532),List(74162740, 9892498),List(62906955, 9734192),List(75701073, 68400296),List(79819101, 33253327),List(68028186, 61875209),List(17092081, 41970417),List(33265657, 30563594),List(64197471, 60229891),List(81840383, 2816425),List(74260360, 45696076),List(84648370, 27166026),List(94543178, 64741535),List(39342540, 59363088),List(33144655, 45028915),List(42073122, 26651983),List(85465807, 23656924),List(81751287, 52437151),List(81347090, 9011656),List(41921602, 27888774),List(22357416, 81924667),List(87048063, 54535554),List(84937885, 64800961),List(42240083, 74417939),List(10851994, 890208),List(20185750, 9687424),List(47757617, 19777848),List(73806512, 25732346),List(34421649, 33359286),List(17060510, 54841908),List(2260516, 26449429),List(98207298, 21786393),List(58094481, 54251058),List(74928493, 616827),List(86093245, 94753648),List(65456429, 26270089),List(83494178, 60700983),List(51201833, 84482962),List(12584536, 92465186),List(59447245, 14578868),List(91138101, 50437322),List(4982692, 73474445),List(83677341, 99069817),List(74213568, 35110980),List(73522570, 78675774),List(98805457, 65799316),List(61160807, 71381783),List(59852152, 32427345),List(48392411, 97961863),List(65164319, 24022978),List(49683144, 97849020),List(18826167, 53123037),List(62071202, 23679815),List(78937242, 35237197),List(67576693, 42340419),List(58594359, 50022937),List(73376335, 26318372),List(35645886, 14325697),List(26940911, 23020310),List(20287774, 9729620),List(55209362, 55080397),List(43440524, 79380030),List(21519318, 91492994),List(83183950, 53743704),List(8243721, 54053995),List(97464290, 91751600),List(91490295, 18183269),List(64589127, 14467946),List(95256338, 6813038),List(71501396, 34689141),List(27439157, 5529798),List(40438978, 66582540),List(6068288, 37109179),List(76101867, 81713804),List(49052501, 16830729),List(24229181, 46183787),List(24085024, 6911431),List(59559812, 42835365),List(49101891, 90606945),List(32232145, 73995298),List(83298928, 70656071),List(91071026, 37435900),List(50648758, 41591065),List(1100609, 78648091),List(21067993, 65233524),List(90881376, 19011513),List(49142983, 78183739),List(32137722, 39187113),List(55097479, 65174492),List(50711375, 71396243),List(8368744, 53113585),List(8983258, 78684707),List(85203285, 13607478),List(72832956, 27068964),List(98809810, 1732400),List(96647444, 60376172),List(99708783, 14995228),List(4669039, 53682913),List(99693701, 50965516),List(1242048, 40846795),List(85980145, 35064481),List(69264876, 33718458),List(9406948, 34366335),List(16705954, 51564163),List(80578264, 97566424),List(17450269, 6659704),List(5313967, 36141061),List(5188475, 64354495),List(48311187, 79153066),List(86922339, 25837656),List(49365672, 96351823),List(48193028, 51644349),List(42017837, 20097398),List(76569187, 9129380),List(83634081, 53855791),List(71998241, 16764170),List(93857098, 82462698),List(28290664, 98722374),List(2462460, 30891441),List(31081713, 61387953),List(59238295, 1542914),List(60362545, 58401226),List(19892220, 43506546),List(1290460, 30170570),List(86539587, 76699007),List(68861415, 31148114),List(97464238, 70413034),List(94540830, 94594179),List(23906710, 5877220),List(95298440, 55511816),List(94185133, 82638906),List(33294699, 25748954),List(10067165, 69477663),List(32502646, 6049933),List(10914449, 35917447),List(43209668, 9929693),List(87270909, 57409463),List(6862258, 7554125),List(91835575, 69732146),List(50397447, 26703645),List(56356557, 9329182),List(93247228, 22197839),List(30142071, 72806900),List(71800663, 94157608),List(82512005, 90174636),List(73542025, 72566956),List(55504442, 65524064),List(32692962, 82838202),List(69368227, 84564375),List(4736257, 68705054),List(66356070, 72218374),List(17510853, 96300926),List(364494, 22281521),List(87580756, 33281515),List(34184742, 97912421),List(80212322, 70402664),List(97437722, 44345330),List(35992514, 19515835),List(6628217, 17361142),List(21691403, 79826071),List(15429274, 39923351),List(723535, 14519307),List(20266923, 5759314),List(64372248, 56700558),List(8462349, 96915797),List(87948563, 41584073),List(87522560, 85769935),List(72221150, 69896915),List(59123065, 69800991),List(68445490, 99100874),List(76038373, 76693697),List(9861374, 14093731),List(71964932, 66597870),List(26099051, 34206369),List(89282491, 1641231),List(94720472, 84608824),List(83699834, 27518912),List(76084074, 11664465),List(76627979, 23196289),List(19654641, 77116751),List(43945058, 69984971),List(69091352, 21124845),List(66842474, 73368206),List(84315000, 93288500),List(39207242, 89055649),List(61558630, 91071187),List(29448807, 98615722),List(24391920, 5571865),List(54446864, 64939152),List(17584635, 90848866),List(39697843, 58892004),List(73308847, 16963462),List(14523138, 35150737),List(93851226, 69441211),List(67362385, 9008820),List(2584527, 59391265),List(43015791, 84734780),List(58615473, 18565522),List(4707656, 35287220),List(92621655, 570253),List(18865490, 47038897),List(67607859, 15440772),List(3019921, 50784485),List(67133497, 64980913),List(31759088, 93575181),List(20076106, 83334857),List(73727815, 93174845),List(84924118, 57131141),List(38955552, 92609676),List(85841599, 56655640),List(35137042, 92367841),List(41750120, 79962675),List(28594411, 4479527),List(20032601, 76282050),List(3802653, 2179830),List(60617440, 41430803),List(45856334, 26736748),List(64513761, 76229783),List(45649947, 88373253),List(1755658, 35259178),List(79072203, 90916580),List(17282776, 15157907),List(89063419, 19630239),List(27591569, 55194365),List(94286260, 65466613),List(88526025, 43034542),List(24441915, 97652500),List(61479742, 78961650),List(76802383, 93159630),List(41247856, 63053049),List(90836279, 52823485),List(7291252, 5637180),List(83064608, 72076432),List(85532585, 83196422),List(76080568, 78394739),List(28600928, 45841136),List(86956765, 2220103),List(27613084, 75291755),List(47451491, 46168348),List(5449306, 2744852),List(46374763, 27670860),List(84120552, 51727630),List(73142586, 77469006),List(98411469, 25899691),List(83689061, 26778265),List(25718618, 76039477),List(75361283, 45950896),List(58425195, 5693420),List(60735773, 42359112),List(18750164, 81094281),List(94073347, 89856553),List(81293442, 46949851),List(73729615, 55728971),List(51437881, 89989083),List(57856327, 37772115),List(26227981, 52496541),List(91144846, 86331362),List(36098765, 66338188),List(52896048, 5388639),List(86087407, 24455054),List(76498748, 48416802),List(51656304, 27415104),List(72975774, 71309712),List(28738193, 22120611),List(53572142, 9924381),List(83595051, 66368072),List(12799066, 55015747),List(16252521, 8678368),List(95268194, 25240776),List(68617815, 9098272),List(20486510, 24268300),List(35219534, 51689866),List(68544459, 12434503),List(54033334, 7683757),List(21770472, 34086587),List(35712, 25271652),List(8685837, 82884213),List(65480831, 31691914),List(99666170, 10920873),List(58003211, 89303362),List(53352512, 79486998),List(18472971, 15396487),List(92328284, 33300171),List(74723197, 43912935),List(11578842, 29660253),List(24157939, 44128279),List(89657130, 55681147),List(61719866, 21258559),List(9377526, 61057301),List(15629708, 15346391),List(20564181, 50041524),List(10366898, 43889034),List(86119114, 89462643),List(95646101, 76809185),List(67803920, 30977520),List(93426379, 4150889),List(83976343, 75766485),List(19376624, 75581241),List(13793478, 66210108),List(31006410, 46353812),List(59870188, 55997802),List(84124168, 21931236),List(98500761, 53142107),List(39164463, 58273833),List(86476454, 62516798),List(87815372, 84466569),List(85781338, 67307140),List(74373331, 75072723),List(39129353, 12331657),List(39337294, 13645497),List(14089862, 29298468),List(55696276, 69370905),List(77562640, 54473169),List(2571635, 44728786),List(77192529, 21527729),List(47415937, 83219742),List(36293430, 90237220),List(9484665, 25374874),List(80421390, 48787666),List(46567787, 77610501),List(63956177, 36645150),List(48973604, 78962360),List(94041935, 30315834),List(552884, 53039064),List(45079153, 71224924),List(64910822, 9185072),List(43157964, 52619983),List(98207576, 86792984),List(33521690, 53052078),List(4983036, 26568331),List(44369601, 65283740),List(23880275, 92589339),List(29890041, 41898183),List(6662198, 77046321),List(27719486, 23440154),List(86306046, 74179351),List(6921085, 77342819),List(90104150, 67304138),List(99673983, 97869711),List(48682750, 93637486),List(81458838, 49255336),List(34446508, 2556495),List(69378683, 9939445),List(14362784, 46250936),List(86751565, 32495754),List(78808982, 66381650),List(93586584, 73184440),List(99144102, 43177657),List(31218258, 40121287),List(2180704, 75730088),List(59884704, 70959684),List(98342183, 86892575),List(51391719, 59668100),List(6785621, 9736505),List(78154818, 9822466),List(77706356, 16245736),List(83114912, 183384),List(59700086, 13963881),List(53946470, 56818069),List(26801549, 54133486),List(51895382, 17668912),List(1026186, 87345899),List(18626488, 86819964),List(45994800, 26091756),List(66892212, 1208978),List(63964480, 94881851),List(23586495, 83187746),List(66973062, 70474368),List(23704466, 98738212),List(69539156, 53546852),List(49711771, 16435013),List(65349150, 49323110),List(91179538, 72381646),List(11488018, 76888565),List(85631896, 37632475),List(1862486, 66430668),List(67785563, 3737014),List(87974494, 10664878),List(80973150, 58948231),List(88404261, 93426923),List(46951699, 47576270),List(64605029, 36144228),List(53166521, 42969319),List(43230060, 5051534),List(46412003, 391222),List(83031214, 98529793),List(64790149, 45588584),List(4106037, 21467737),List(9987611, 3904181),List(84891811, 19310402),List(59032926, 84409247),List(69298, 55127496),List(42237049, 30218015),List(82959247, 65577739),List(25171927, 67058693),List(43070474, 42745550),List(80132421, 76303142),List(87722893, 19645778),List(64334174, 7418701),List(95247709, 43503350),List(30506072, 998026),List(86779046, 69157472),List(7790906, 27256479),List(82472963, 47305652),List(65464327, 30683255),List(89993546, 37752644),List(60801148, 68680317),List(94500928, 80714431),List(86257831, 88945956),List(50760024, 20508963),List(72393018, 97527871),List(92026420, 16263403),List(68019154, 36878062),List(84282247, 15294804),List(99909855, 27985206),List(35033672, 53808484),List(26651412, 11771721),List(33351868, 59228290),List(71587401, 2169408),List(5820185, 14716536),List(67688550, 39296256),List(12825105, 77780771),List(84338180, 76563195),List(67392137, 19892977),List(29089770, 4484504),List(7009899, 3048328),List(31933201, 9308712),List(59613992, 98408384),List(82872396, 40548284),List(87534816, 58495988),List(33505140, 77724342),List(64792517, 75917134),List(41495770, 36523869),List(62964483, 93202774),List(21790190, 3316432),List(73958790, 79722837),List(8885265, 57908468),List(56002271, 75386755),List(68003841, 20704558),List(75786335, 6291942),List(5389524, 325975),List(91959652, 48024862),List(85892237, 37527584),List(51227626, 68903679),List(37617307, 23881996),List(88935797, 18436003),List(27996983, 62709767),List(45874324, 43257057),List(14691123, 94844253),List(52671822, 6591698),List(99348083, 51528520),List(29508087, 77055220),List(23942172, 49810487),List(20084527, 12276071),List(2300208, 59922380),List(44777807, 28036503),List(76943861, 45476049),List(13131244, 13655739),List(99014402, 18325803),List(93035908, 90635757),List(36338500, 80169420),List(63205951, 32706363),List(81199816, 90988617),List(75064786, 57557326),List(19756776, 97361847),List(87172160, 69349152),List(69011009, 77853806),List(56752878, 62210750),List(31289010, 3437624),List(33139871, 16694891),List(20268939, 4262365),List(31191509, 7646973),List(76899453, 18851149),List(2560446, 64452318),List(73040893, 40381233),List(14778178, 93840056),List(54358517, 65669022),List(18047017, 71597928),List(757490, 67181881),List(49157804, 27646765),List(182402, 25551008),List(38872771, 84962667),List(84350019, 15613411),List(77861713, 15967031),List(16755027, 19214783),List(69148159, 95481844),List(20117469, 63840662),List(96088824, 64653689),List(55267995, 86031904),List(99408227, 61001570),List(21140119, 69349279),List(73771930, 85546478),List(68802692, 7764915),List(81605953, 96717476),List(21421466, 8691514),List(39502067, 1203615),List(50848761, 47748589),List(99178703, 31513656),List(57385230, 55869644),List(33887856, 15631309),List(21793969, 86966757),List(30517871, 24866305),List(47493383, 91699516),List(63274313, 95797557),List(93755131, 88950586),List(93611193, 68969034),List(93665976, 44052372),List(45064872, 3888382),List(96351090, 67866211),List(56911366, 6769679),List(69597832, 36822210),List(99594973, 81587037),List(3643540, 72488254),List(64601457, 52080911),List(91874169, 7096618),List(88059074, 12393443),List(23112956, 1061449),List(13220068, 87575267),List(81556224, 90290333),List(68483041, 46072934),List(80692781, 5206426),List(98348058, 18001918),List(17508337, 7334323),List(50572009, 19928439),List(2741479, 71267956),List(65623241, 7687156),List(42452024, 40961282),List(55344212, 46016373),List(91583710, 94974218),List(67738998, 78271208),List(31416058, 39081704),List(58977054, 32997125),List(45474177, 30239926),List(85768640, 46951155),List(40559541, 63672312),List(47773255, 18358273),List(49664912, 78647320),List(67904097, 65066633),List(13100939, 37348547),List(78616335, 86823530),List(53821757, 75051374),List(95691597, 21026430),List(24563345, 60477441),List(21853224, 20014146),List(51497650, 37028200),List(13107379, 75476397),List(31778714, 62059507),List(68325921, 5575643),List(31471898, 64032540),List(3144050, 7621880),List(16331427, 77054642),List(77534137, 57619906),List(58120863, 59335477),List(91845376, 8814261),List(7636536, 91091059),List(26154804, 46075727),List(30256468, 86812860),List(6496998, 85315507),List(28150103, 82032468),List(38618660, 20764176),List(57961813, 50963441),List(61317560, 89917636),List(88552920, 57863128),List(90907208, 53500414),List(10571199, 58861212),List(16728181, 71657207),List(21483873, 50635357),List(99143307, 91093952),List(79366481, 36287852),List(38385852, 69516756),List(81250374, 47937197),List(62754403, 36735674),List(56671788, 93291554),List(42611920, 41905289),List(33340764, 25513050),List(69687163, 8189918),List(10172611, 95140018),List(57947566, 54994402),List(9960745, 86385880),List(62946526, 21388726),List(39116230, 556157),List(70140548, 43038118),List(7670324, 38132170),List(77376372, 99448886),List(28718761, 44673957),List(51361529, 55648974),List(27361859, 57821843),List(98340175, 5805775),List(14569928, 87067148),List(14748707, 41807192),List(6060786, 57981576),List(95403290, 71717106),List(51980050, 19525581),List(99465960, 76161558),List(49447594, 7197770),List(86766317, 60974013),List(12580376, 4026929),List(74846924, 74430772),List(27529691, 11187182),List(6676450, 1802268),List(80767663, 13351906),List(91422126, 83267398),List(27246718, 37837681),List(63431322, 69582637),List(86265950, 12942440),List(69499399, 30028096),List(70378551, 14132124),List(67993524, 11576861),List(56245594, 26848227),List(51098443, 5921304),List(73823769, 56593688),List(32832189, 68680209),List(94445905, 52859880),List(57092113, 62859535),List(12023007, 23134076),List(20344675, 66693832),List(20421148, 95327387),List(40002084, 97522096),List(60868048, 50238189),List(6775281, 11601174),List(302471, 49873610),List(75262444, 26327455),List(12322463, 26767004),List(86184544, 37177835),List(5269700, 14575096),List(46389612, 68304493),List(31658132, 46278844),List(9269063, 72157772),List(78932045, 29129260),List(75792163, 54980371),List(56158034, 81146556),List(45473159, 36407102),List(3236081, 30425025),List(22480129, 23150153),List(67257091, 98386140),List(32855073, 72265555),List(88705651, 50716943),List(44725425, 15333746),List(22304811, 51972885),List(52856263, 6292901),List(70747972, 43224465),List(38453514, 436198),List(53120856, 66116029),List(92083767, 57792732),List(17742677, 65698131),List(22608481, 95453682),List(44649128, 11558952),List(25687423, 92614773),List(49144884, 33370430),List(47272588, 1629795),List(18552848, 93259459),List(8975254, 1636527),List(72864278, 68645758),List(4485951, 1214177),List(72122447, 34593915),List(36695112, 14676349),List(14858205, 73101892),List(92920137, 73483253),List(41859706, 99779383),List(68540066, 15039831),List(55230015, 63182484),List(86448320, 81682283),List(59718207, 96327082),List(50298568, 2392452),List(66591194, 38635188),List(70401096, 32742447),List(41742801, 48560380),List(90161407, 88574813),List(70177611, 30722231),List(61830849, 85735007),List(13637518, 11826173),List(48728797, 73461684),List(43982817, 74939267),List(58163234, 81834732),List(25008632, 37958724),List(64875733, 31118548),List(45070497, 53512710),List(9876227, 22180618),List(3307420, 30698654),List(95623970, 38325188),List(53516204, 5322059),List(60589943, 46897276),List(55630736, 32698402),List(13452929, 17405675),List(73969590, 69189528),List(36754306, 60297246),List(53679322, 57216911),List(48001197, 13471204),List(20241368, 26878968),List(6231633, 72275212),List(89696196, 52742781),List(74911552, 91555573),List(82699004, 92526157),List(92041127, 46875010),List(92184249, 20247283),List(33360541, 66215513),List(74944461, 77377290),List(11668117, 39191797),List(85388062, 78317907),List(19599480, 96460809),List(28383390, 61752494),List(17594336, 27339964),List(73654080, 17828816),List(82580475, 71186741),List(66256215, 58468639),List(47624914, 27796412),List(39469396, 58301830),List(92561535, 75474447),List(59453063, 82022571),List(75216065, 34792883),List(6301440, 20628880),List(68344187, 55036897),List(86921246, 48627553),List(34235786, 53605225),List(45737895, 41127545),List(39622346, 92243965),List(8168172, 97099451),List(16073550, 88004660),List(32106914, 93624138),List(9264970, 5608105),List(83265125, 89076657),List(72257744, 92570509),List(35914873, 9917010),List(1288963, 44655011),List(6195816, 30905932),List(12042860, 65922559),List(32878699, 80170140),List(25491204, 32495162),List(45437837, 57677464),List(54946756, 61131257),List(79268548, 47583166),List(99441850, 45440212),List(55122239, 86350267),List(88005110, 79368649),List(5118548, 89063792),List(26495074, 44029509),List(14319595, 65525597),List(88237951, 49903359),List(96457788, 40427821),List(40316028, 89613330),List(15162864, 51977465),List(50622078, 77553199),List(90721901, 93779548),List(66415687, 73366633),List(94299386, 85878480),List(99134381, 4865229),List(28034281, 22521748),List(99293145, 94388734),List(16736736, 31930406),List(96923445, 6359492),List(42248040, 68301656),List(75410698, 95658659),List(30233083, 96404826),List(84597401, 59336974),List(71609814, 65078077),List(6734637, 72755834),List(86708636, 20947712),List(60746213, 5837810),List(69641308, 80059474),List(35466681, 44170282),List(13195644, 95383681),List(95450326, 59709085),List(15755922, 11418962),List(82189927, 12231129),List(22319624, 43805125),List(28741682, 51013484),List(56841463, 20949154),List(71990773, 78029668),List(26360683, 75028010),List(22903985, 15428246),List(16110843, 80530410),List(17243183, 54895056),List(96794250, 99601021),List(21143956, 58422305),List(21771829, 78350747),List(49474098, 66789959),List(88242770, 22988960),List(2677802, 78807150),List(55930409, 12592343),List(57615526, 76706509),List(20842957, 2850549),List(52972139, 15485572),List(32249617, 96002356),List(49795451, 89159739),List(62465997, 16718088),List(4665853, 32681124),List(71685767, 44273178),List(61111784, 48299085),List(64473571, 59231211),List(72692263, 17908762),List(42460178, 46658691),List(3520131, 59758341),List(30535849, 26539785),List(94933263, 13290173),List(73699538, 74782324),List(32459781, 95420831),List(25271052, 19066704),List(79354664, 8669482),List(42493249, 48578500),List(6717681, 45514361),List(56346460, 81160838),List(21270182, 94145342),List(80804023, 59917057),List(2461625, 47681856),List(58251435, 98581759),List(49778691, 3576487),List(74084, 5519503),List(24425545, 33963596),List(38269827, 69134584),List(95808982, 64983707),List(81307228, 80433928),List(40785530, 19953394),List(38677514, 22856588),List(67236979, 61210085),List(10095198, 83149022),List(28850886, 658843),List(41513690, 89541520),List(32598603, 72866825),List(20177299, 69706518),List(44039075, 71253379),List(72859137, 84891934),List(90425473, 4587383),List(99099413, 10610567),List(51221966, 3927480),List(47501128, 3575229),List(63105846, 47374950),List(23129020, 28368285),List(87008728, 60797760),List(21733719, 78559354),List(27520099, 29115252),List(94913146, 69782631),List(52056176, 38595752),List(43005088, 60679882),List(82466453, 35933971),List(30699907, 84715986),List(5540108, 77492055),List(69846137, 96534045),List(56960349, 43343024),List(84590669, 5039987),List(52525891, 20182929),List(96306317, 21102179),List(69213879, 16674771),List(17056381, 16633402),List(53366634, 9725554),List(94926649, 61036302),List(99663803, 85444913),List(75097296, 54291473),List(2411918, 17592968),List(65347758, 8731960),List(74987207, 73547097),List(98932111, 86547429),List(89201291, 7233294),List(92880348, 76797426),List(34502365, 79268694),List(65413595, 26867901),List(59533158, 60317165),List(22133944, 1558889),List(22776548, 40895063),List(28034909, 55742555),List(52324840, 60916986),List(55209960, 17049583),List(49766671, 20936130),List(33162313, 31115678),List(84569131, 48936814),List(3970176, 8150357),List(46161418, 68737788),List(36340037, 26955859),List(55150307, 17550440),List(53828037, 11688406),List(149663, 78753373),List(69926805, 11448242),List(12786404, 84321383),List(3755061, 90921596),List(99954044, 62554825),List(25613037, 45076192),List(90876717, 52382648),List(71723818, 89767718),List(65379912, 6011264),List(69969258, 31545208),List(45547876, 88715738),List(74212211, 58164751)), 199130908) + } + + test("test5") { + assertEquals(Main.minimumDistance(List(13431165, 56816431),List(59650469, 63432691),List(11516284, 82052279),List(69127793, 24278477),List(28709314, 27109596),List(71696668, 26482486),List(99571764, 98547363),List(31818454, 72298459),List(9343014, 86637163),List(36636574, 80106036),List(29685178, 67539976),List(43536555, 51271970),List(29041552, 31522528),List(97063429, 87631164),List(35550745, 5517425),List(22225498, 29986050),List(91303789, 45418689),List(84454961, 52320044),List(60489297, 63681784),List(45965332, 63279115)), 143626423) + } + + test("test6") { + assertEquals(Main.minimumDistance(List(26, 26),List(14, 51),List(10, 55),List(14, 25),List(30, 59),List(88, 30),List(80, 93),List(8, 81),List(16, 47),List(13, 38),List(62, 84),List(33, 66),List(66, 17),List(90, 58),List(71, 24)), 131) + } + + test("test7") { + assertEquals(Main.minimumDistance(List(100, 100),List(100, 100),List(100, 100),List(100, 100),List(100, 100)), 0) + } + +} diff --git a/minimize_maximum_of_array/.DS_Store b/minimize_maximum_of_array/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..c6066e882271096a9be2c719f543dc6f6eda2ff8 Binary files /dev/null and b/minimize_maximum_of_array/.DS_Store differ diff --git a/minimize_maximum_of_array/haskell_tests/Main.hs b/minimize_maximum_of_array/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..26ef09ec9fd29da6e1ccf8e0193b812af7c9af06 --- /dev/null +++ b/minimize_maximum_of_array/haskell_tests/Main.hs @@ -0,0 +1,24 @@ + +module Main where +import Test.HUnit + +--Program start + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minimizeArrayValue [3,7,1,6])," 5 (minimizeArrayValue [3,7,1,6])) + +test2 :: Test +test2 = TestCase (assertEqual "for (minimizeArrayValue [10,1])," 10 (minimizeArrayValue [10,1])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimize_maximum_of_array/java_tests/Main.java b/minimize_maximum_of_array/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..c1f43fea39d5a532b3767b00a4918f043a75b3e2 --- /dev/null +++ b/minimize_maximum_of_array/java_tests/Main.java @@ -0,0 +1,21 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +import java.util.ArrayList; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(5, minimizeArrayValue(new ArrayList<>(Arrays.asList(3,7,1,6)))); +} +@Test +public void test2() { + assertEquals(10, minimizeArrayValue(new ArrayList<>(Arrays.asList(10,1)))); +} + +} diff --git a/minimize_maximum_of_array/meta.json b/minimize_maximum_of_array/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..7e8eb2a46771c7d91686efc131d57952f3648810 --- /dev/null +++ b/minimize_maximum_of_array/meta.json @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:50ddded2beb62c5a4d37c29d1cedc26be79d16808037812fbdac1bcdb803fefe +size 17235426 diff --git a/minimize_maximum_of_array/ocaml_tests/main.ml b/minimize_maximum_of_array/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..46cd58865751d266311c3f76075803c2b3b830f2 --- /dev/null +++ b/minimize_maximum_of_array/ocaml_tests/main.ml @@ -0,0 +1,26 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 5 (minimizeArrayValue [3;7;1;6]) + +let test2 _ = assert_equal 10 (minimizeArrayValue [10;1]) + + + (* Grouping test cases *) + let suite = "Test Suite for minimizeArrayValue" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimize_maximum_of_array/scala_tests/MySuite.scala b/minimize_maximum_of_array/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..e5143da7ac58a30cdd27fc050f844fcfa5f6ed37 --- /dev/null +++ b/minimize_maximum_of_array/scala_tests/MySuite.scala @@ -0,0 +1,12 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimizeArrayValue(List(3,7,1,6)), 5) + } + + test("test2") { + assertEquals(Main.minimizeArrayValue(List(10,1)), 10) + } + +} diff --git a/minimize_or_of_remaining_elements_using_operations/haskell_tests/Main.hs b/minimize_or_of_remaining_elements_using_operations/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..d4f2f061981d6f3b1d3184d0c842a0dfee31b52c --- /dev/null +++ b/minimize_or_of_remaining_elements_using_operations/haskell_tests/Main.hs @@ -0,0 +1,45 @@ + +module Main where +import Test.HUnit + +--Program start + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minOrAfterOperations [3,5,3,2,7] 2)," 3 (minOrAfterOperations [3,5,3,2,7] 2)) + +test2 :: Test +test2 = TestCase (assertEqual "for (minOrAfterOperations [7,3,15,14,2,8] 4)," 2 (minOrAfterOperations [7,3,15,14,2,8] 4)) + +test3 :: Test +test3 = TestCase (assertEqual "for (minOrAfterOperations [10,7,10,3,9,14,9,4] 1)," 15 (minOrAfterOperations [10,7,10,3,9,14,9,4] 1)) + +test4 :: Test +test4 = TestCase (assertEqual "for (minOrAfterOperations [524090267, 312026048, 238093783, 305937332, 332445133, 678889095, 766430227, 907853586, 526154269, 787602279, 652231487, 599477278, 334513195, 576036332, 272672599, 917569445, 179248110, 115211167, 93032584, 496133264, 855780297, 531534974, 49905719, 900249290, 569853120, 740859117, 833224511, 455336951, 362685097, 780010552, 345300210, 888064726, 626528431, 121227462, 64416630, 332616726, 236137767, 614682954, 414750430, 471878894, 521944724, 921471261, 772474049, 155302327, 842705940, 339745555, 519885436, 520105500, 681263804, 771959697, 536287876, 594482759, 575265054, 517053607, 883295489, 237510116, 44048610, 684473107, 51072681, 434862542, 999814343, 180711256, 205743066, 1038939263, 58193189, 341137325, 383725441, 468256521, 82112489, 930414702, 171729462, 161215988, 18046645, 948199819, 897161275, 324574870, 324356740, 349437184, 295267297, 106863232, 55931821, 686762097, 711714829, 446561982, 1014161326, 204961608, 291741059, 638586217, 641026113, 658087918, 407256649, 756381801, 160256447, 713668585, 733818375, 12599931, 429624718, 392328854, 830739746, 28502010, 597851323, 290031500, 588662265, 993676391, 749856914, 1048222236, 569925986, 909246770, 890092342, 859843576, 231966559, 895467204, 179762331, 637872399, 217640004, 872181489, 751659632, 463109573, 126518327, 370666390, 757754842, 750326232, 174813562, 280610000, 953198654, 766587992, 212009609, 232102824, 723879680, 835805797, 146268757, 116922326, 544440273, 822098719, 484729568, 340244655, 165874140, 82075803, 675129355, 7405218, 128959368, 983758367, 642210801, 202482303, 821578980, 444239986, 697222710, 7022788, 701605306, 414067809, 1057969821, 914834389, 404485854, 55202543, 227733051, 918237494, 470959727, 668538750, 743940516, 305472196, 182726743, 780652111, 679402466, 823844063, 768243971, 756709234, 954510095, 250658293, 919758364, 818660895, 27119045, 8831362, 105791340, 342592293, 815891588, 254218602, 846805038, 194505754, 976154477, 91235027, 484262003, 190245936, 1011280150, 65850939, 954372198, 354144400, 336171637, 251863691, 493624647, 666534334, 382737386, 257748212, 291470385, 842150481, 612002480, 498184107, 676864926, 622779242, 713840163, 713369858, 818754550, 652057638, 952951370, 121125483, 48552072, 289817519, 934517324, 423320455, 887457203, 517490899, 994953375, 531885949, 28258115, 116515044, 1066698635, 8322820, 137404588, 944327758, 822207964, 724495147, 640835910, 273514718, 567205382, 661482033, 348153585, 724488680, 43382687, 874631462, 99642134, 134520436, 500726439, 111144734, 424455305, 606142046, 635230309, 851528253, 275836383, 479318671, 790222976, 164687204, 332654723, 762385381, 988350441, 1017139534, 757669774, 512680982, 679708750, 26700833, 440154094, 422255913, 1050603851, 31539925, 716845184, 534988722, 1014413402, 194274876, 200578837, 576063459, 371817543, 905279830, 712322069, 444552564, 139755701, 195337179, 610008459, 705646953, 842892034, 715482895, 5453392, 36159377, 633630300, 305000814, 894139870, 354629151, 524762499, 604172068, 181780919, 832664546, 563595668, 717588503, 49280406, 663399216, 1068603514, 293060651, 517809254, 1013083574, 941499989, 101714223, 328426785, 842411660, 830770046, 319611731, 322963462, 49338228, 121323750, 264591896, 835115240, 652333317, 193569845, 408777794, 751863471, 236484001, 380766026, 133344534, 701636674, 44195082, 694056104, 485219269, 82441352, 578558880, 696450510, 484502368, 16850595, 366945976, 565304534, 589120248, 741704199, 767338504, 569614474, 301032388, 710010165, 308674335, 833740968, 50497256, 1041196938, 972994274, 835138772, 1045366452, 600332460, 692505577, 371495125, 912349331, 222807989, 293432999, 894679303, 114451976, 320121257, 947329925, 285159843, 792078751, 464321589, 663796737, 503902688, 766664215, 534650696, 129138357, 139549642, 955367333, 801370561, 958191220, 238540738, 19065173, 177568979, 530979971, 156563967, 848958107, 339826093, 465240939, 73191667, 658546441, 982323920, 422708886, 359092060, 570014948, 339951426, 591756315, 330303725, 966886723, 237657780, 402540622, 38892755, 35326898, 1067523297, 106084208, 696629376, 313614985, 1060073670, 1034696223, 183058334, 269306411, 979929651, 471796054, 923620998, 509148899, 278174460, 56127964, 929384099, 478122758, 1070841228, 707590984, 893668996, 803324624, 808912419, 841972067, 727462234, 923020182, 835121340, 538364489, 1063652066, 220071672, 47234934, 25784788, 831608266, 804021130, 591294615, 129199459, 405629441, 712391310, 1028152578, 859955117, 728966301, 844549155, 782201944, 805024686, 742468057, 552125083, 736413402, 542958739, 985747208, 77950210, 816024512, 241034503, 398936238, 97013629, 373417247, 1031327540, 195553055, 929181278, 603266517, 658516098, 701406801, 846375569, 385693498, 885070280, 536717269, 656285227, 508041760, 115663473, 309662209, 829853498, 581057661, 371915502, 141343876, 37106681, 429768677, 140051579, 825919731, 715854611, 772021990, 30963942, 683322281, 190485449, 659698041, 183228301, 185091488, 1008139801, 1047066291, 102834348, 535034861, 14990317, 688336942, 452154289, 853548508, 707551717, 156483724, 887668008, 533162589, 338093450, 567476576, 265964651, 176758776, 740954139, 633363763, 828225717, 675183623, 30888434, 68461570, 297889797, 380781764, 254953785, 49109800, 821163518, 377675489, 290875577, 22654442, 436529890, 754260017, 193443918, 283381677, 238231190, 1040981968, 486198409, 771830278, 560896544, 281110044, 748847707, 801259012, 1039450159, 830061530, 353898151, 885515827, 643640224, 267491957, 943715193, 753902675, 376974059, 694139124, 64686139, 226300432, 918142962, 995633517, 648636213, 956620921, 56336308, 198465213, 429539176, 772825956, 728602315, 344502037, 544484467, 1024897728, 555001760, 962769074, 519326370, 292446415, 194965358, 199246274, 664975187, 658234311, 950431273, 1021936025, 137237175, 574420008, 353613666, 591791909, 303077282, 194895331, 900281387, 413595989, 132010670, 547792813, 314608869, 600122688, 1791059, 3305991, 394936449, 462414193, 716812125, 907458284, 956425635, 47289603, 599355733, 532781764, 295488261, 735191817, 853287327, 775331673, 1005235555, 971472184, 862976596, 84841516, 207704078, 276908004, 651317272, 787094318, 534417158, 975522208, 492521814, 406648803, 837298703, 267372933, 205133831, 45227716, 754337807, 560382590, 985613845, 901197772, 502516041, 826895251, 714107208, 618694582, 191610422, 1016598051, 911830911, 155060018, 522268181, 867597276, 297571740, 273337944, 141463906, 336106774, 830033241, 809116959, 982414633, 884173995, 150167162, 813693429, 821964053, 313500983, 540543057, 1048523918, 510696106, 847585323, 214784126, 662885103, 639998645, 394463110, 457937261, 114693067, 315753514, 127549552, 954338928, 50233395, 798538143, 783475793, 506291133, 878844008, 631037244, 100984831, 831747672, 1052601368, 208811083, 687548377, 336898447, 584403584, 830874654, 832220716, 711630016, 74631668, 1010890448, 373088752, 803079396, 8713930, 528147424, 273151000, 125978926, 44390684, 338755411, 839245338, 449786003, 49294616, 746702640, 964232697, 529008405, 376644810, 982398261, 814123756, 1054812761, 177381282, 211357595, 354667025, 89025228, 873254343, 673885420, 596994465, 397405245, 230668799, 375555736, 530150581, 392067804, 382758572, 93728017, 595040775, 254234620, 493927028, 982653482, 139725313, 480518776, 809344478, 31975642, 37332620, 346706603, 419005722, 715479514, 441443007, 232826167, 805234930, 478643672, 160660810, 531338711, 119614866, 641358003, 865954199, 443786968, 903555311, 969278263, 596402972, 570729410, 736106314, 348586094, 181979684, 379652414, 396594027, 960707627, 104054539, 18109389, 919018796, 735541607, 111814612, 517092696, 276685918, 339734950, 990783591, 622074483, 464193326, 816238814, 926540349, 359813173, 418373335, 598496443, 665999758, 105165173, 55857037, 773833891, 919230924, 177065867, 758451491, 567973219, 401441943, 73658264, 661506118, 316083924, 172913982, 403426065, 475880944, 908262287, 568892747, 600063804, 89489135, 1010517253, 539806130, 364431116, 766830208, 633225727, 378167348, 180067567, 240817847, 526596916, 617501208, 351706548, 835659222, 604554542, 241382056, 782664337, 280849253, 557757497, 258752252, 273395281, 837943768, 640775677, 980897341, 187835039, 793105601, 450375397, 532594726, 31138048, 239952940, 691729091, 26966568, 224221330, 1059370985, 66301424, 973461628, 18013629, 366605015, 917646859, 100061317, 950760905, 908077585, 461336797, 481456108, 112719471, 801965774, 585452647, 534550181, 494977584, 531196251, 971254048, 549054276, 213436046, 1065883515, 806005758, 813720121, 153504633, 419466686, 463621880, 645336785, 384625705, 433862733, 536821814, 368999430, 678293449, 378548420, 411528921, 171700410, 566107675, 603446752, 690421826, 390950902, 173317224, 193085170, 812654058, 754944507, 685589777, 1055090949, 1064984261, 945614516, 234314598, 75156121, 83253688, 167791403, 319884212, 945720896, 545772657, 149176208, 221808103, 259141803, 87487113, 15258084, 476055156, 984727085, 644414679, 474493359, 6137579, 535702558, 48797284, 953635042, 975374609, 338547898, 678486812, 893902128, 891809474, 343178908, 922130807, 289698390, 762950224, 827004571, 816022858, 710727518, 197790992, 855451303, 342171535, 783395017, 94386911, 737237001, 422986456, 691244585, 900622621, 549312374, 887038735, 891468981, 420314440, 378330534, 237476228, 643255156, 991032470, 268638503, 854292573, 1049058065, 682784585, 813189699, 449361781, 394669391, 702955520, 601583718, 751382071, 275111789, 298269656, 581627724, 782073873, 26367223, 767965179, 420118147, 309590429, 13804968, 868747849, 553781546, 1002347874, 923390296, 164476647, 1004976599, 777949161, 512506419, 626622261, 399057027, 458179177, 1015504579, 822220555, 282215357, 927328527, 56186055, 223593024, 23799787, 987275267, 657662153, 271298878, 1023461653, 882924196, 374608510, 1031143142, 444333275, 27562312, 558114191, 203178717, 909087523, 328186338, 506604905, 848072377, 25338337, 459010435, 834415346, 179569914, 205145897, 502185039, 800757626, 283341023, 639465878, 790398599, 418098740, 922954034, 808600236, 578109617, 87832988, 53365395, 715075119, 354167448, 777099209, 512284549, 94648119, 239167637, 722172054, 296996122, 65636832, 508450565, 696330758, 119370885, 634662684, 488185129, 422885621, 539595220, 1058148713, 506820518, 809747363, 1013935339, 534840602, 418461036, 1926925, 352783719, 805116918, 83797089, 119784518, 859467441, 545311074, 270267341, 299167921, 837707290, 355944583, 729269626, 101003143, 485473080, 386164259, 171078352, 565105431, 834851193, 1031936268, 668575575, 457387566, 106862462, 135392720, 721550830, 727187529, 457635222, 230187821, 30423279, 238911098, 736143576, 1071097917, 881057270, 213024209, 683142027, 301711033, 666677753, 156602308, 967154586, 448903161, 1058957065, 314005010, 289682917, 54140816, 389505435, 297859297, 887618108, 700367943, 410803607, 241427945, 18811521, 106840963, 916628524, 192992633, 134145192, 608232210, 625065514, 1041103565, 786549865, 919578922, 645871616, 574782220, 765016303, 825862432, 610283770, 918976781, 786954808, 674532644, 770057495, 207331131, 77695545, 875992506, 459135728, 204140341, 953438273, 518728607, 542706851, 298753489, 311410957, 342115557, 329757559, 210139568, 900355533, 485509972, 372477664, 512875264, 280587065, 16598133, 58237189, 505748091, 208669315, 1033140823, 905162784, 841221025, 43719931, 571267058, 755337357, 444128052, 454009072, 594379606, 456958562, 763730397, 385014747, 235395045, 1030463061, 521714987, 779487818, 53900302, 291686141, 124337799, 34787953, 170456676, 194317911, 173908365, 517384070, 145190911, 70467095, 1046035743, 345421144, 222394177, 769216511, 739178509, 250827182, 402674617, 184249604, 479809725, 1047135167, 291022609, 485033015, 571048638, 296190848, 884180412, 116996224, 530800279, 456287710, 495549331, 711597617, 537647503, 100758210, 333820316, 233129983, 825440026, 704333658, 142671401, 815428350, 780366226, 999803625, 891090317, 324327276, 787254148, 347486913, 604234227, 971484504, 1072752032, 467685701, 907903918, 255700277, 133231965, 704958472, 338332331, 36208029, 920808229, 9313569, 1017202169, 247242462, 381237428, 215133408, 1019420114, 1052245512, 570757377, 152954585, 976955925, 685942414, 681221778, 883232761, 195710736, 162931352, 382849227, 361136169, 566104664, 202398654, 51974076, 1064569090, 409658548, 592426440, 397238950, 1006902159, 573552883, 615030537, 680801444, 1010850690, 60468348, 710746610, 806344604, 133572909, 299380856, 13481307, 3517770, 1037534669, 1051379164, 150378767, 852129801, 187112925, 134261079, 384926272, 919180444, 529725853, 292420695, 447377005, 953712672, 1036380247, 109509539, 1049095929, 835001772, 155792085, 826128632, 607132937, 554303669, 801958871, 1013676106, 74748012, 502679986, 808514326, 771188722, 768942397, 484794617, 926595982, 150552643, 722870830, 921509433, 349622380, 983411098, 748188129, 225569229, 113214468, 796856238, 290959120, 974049322, 115373420, 642706203, 141610609, 589024153, 899560397, 639619135, 455194792, 1035634355, 33196390, 1037950938, 33354213, 184838978, 417868290, 755957617, 200362758, 592570346, 762645982, 905204536, 338907791, 700931917, 885707502, 450118032, 505403280, 265633208, 714770236, 224611494, 671252281, 210865431, 356847865, 998394009, 630740913, 106105907, 506646768, 650117781, 845536127, 1019925131, 852416587, 207102872, 749935348, 599906054, 976387798, 138374376, 897143974, 456312810, 210622622, 887725060, 118127556, 1028175793, 32494357, 783866850, 555229930, 786674829, 842749155, 330350299, 685740270, 1028130555, 946121811, 613595979, 41889150, 856685110, 636307933, 761561501, 386545562, 344256656, 462241826, 420409467, 925877016, 805503170, 723019696, 750630901, 1038411894, 906001083, 675639639, 1071253996, 115195225, 755218796, 901859031, 714655217, 506093322, 174568344, 116030451, 929265573, 584338499, 210365247, 965167463, 282378893, 782196273, 363709220, 522672607, 326986006, 868723913, 527363342, 916149468, 678517589, 328922158, 932321966, 277316840, 828463302, 812047436, 843976275, 775943146, 138146996, 78825856, 180106535, 1006214882, 706919986, 848346419, 464661063, 789092456, 827537310, 771491273, 428958770, 875598880, 562011939, 558911117, 756072922, 403947459, 72479719, 152063510, 898891287, 589468143, 441292357, 1007257260, 861628099, 776815784, 131268842, 727782719, 364777070, 448042043, 783315437, 90672570, 326250336, 805377958, 1061382030, 597429845, 671290229, 832987089, 732143037, 862033173, 158354295, 228489332, 361057369, 580217103, 204758633, 136548670, 744849748, 713370925, 550280272, 364745069, 412616520, 922092012, 576344089, 266741590, 294017912, 645165026, 497375170, 322397781, 592110024, 259727000, 4361521, 1022736790, 15771169, 836138460, 17614875, 703007937, 77694368, 1045166579, 955029599, 871507899, 988227220, 951182541, 1071606248, 943561742, 876282780, 921137712, 236438413, 214428506, 648204237, 1053513547, 372121579, 998013139, 982406706, 1006549197, 487437877, 857898497, 363113089, 619114263, 251829393, 659094149, 755617893, 934523634, 28168200, 73132764, 816461664, 706376783, 912510908, 878638251, 23916583, 907464547, 76073212, 106143910, 157230799, 1040229573, 127119223, 402395290, 268721603, 702003434, 133374642, 167098403, 597775497, 678346167, 302267961, 673087449, 579860216, 372642133, 805117748, 612295263, 932098979, 895285086, 983566925, 760248919, 1069817686, 592405689, 665052297, 694649271, 171990152, 862372872, 799626401, 889223014, 927181246, 703528251, 936001778, 974530228, 930581389, 2696788, 159797650, 598778012, 534834083, 595786785, 969567768, 136435505, 530056978, 447242342, 734178233, 180432863, 682045361, 887501191, 428179274, 292805049, 499056626, 336371155, 458048767, 849572455, 25448602, 503085644, 39487694, 142078112, 45780628, 391053279, 419389539, 550859355, 539272016, 319547620, 94360505, 176598659, 926979734, 271375151, 717285956, 973219095, 1002738703, 792807091, 968671279, 535073112, 677368177, 658717029, 435455481, 445980983, 108875424, 453635267, 270118193, 43603659, 818455653, 206461214, 33773819, 944623080, 429153143, 664435462, 551920717, 1016444755, 458588044, 924862898, 471651639, 785591988, 762588172, 840955825, 43871043, 886121623, 84964634, 753509544, 23466322, 35809862, 291767274, 277718802, 721803952, 920763681, 333901468, 856980438, 7594163, 229896934, 480217866, 558157209, 513935441, 788778394, 788919490, 657667463, 553613470, 484539408, 657751368, 1027370850, 1052337697, 991473717, 846449078, 343351363, 43611630, 993600566, 325433339, 955345647, 584876973, 135608817, 939153831, 35106773, 967662264, 145442295, 998936304, 577657138, 928201364, 565625993, 148826063, 224826185, 876298194, 645448560, 692279996, 215641521, 545526972, 477242246, 609036185, 317598484, 802420693, 638995235, 256311248, 480598535, 1015447432, 932288554, 1040254643, 565235990, 311847399, 128745544, 393103014, 721914646, 993206269, 777961162, 774420652, 284807704, 266886936, 507105530, 12470748, 536765480, 439437398, 70124835, 744546657, 606648397, 36594212, 644672230, 497530244, 250151542, 929680452, 43471168, 743786752, 853564635, 34665399, 332537429, 217659958, 159144053, 1002287722, 90373922, 904487494, 96987526, 796481611, 534685123, 637245768, 829839804, 438641241, 50026026, 706509865, 872729076, 236985341, 222635843, 349058791, 418778479, 379265639, 291570719, 68655134, 915694908, 761342328, 518795296, 41660235, 270099615, 938892708, 684030620, 412385457, 838436063, 895739844, 606849231, 495643362, 931801373, 837151898, 559896205, 775556123, 5546835, 92488786, 905783, 375663078, 354438116, 871722368, 145989914, 919498553, 590306012, 619295153, 1007033457, 1031170961, 480713224, 173890535, 344873728, 711893910, 938558957, 653694719, 232231904, 838297675, 609449765, 917400060, 561479107, 208783292, 662064986, 762105366, 1016936260, 952416766, 1040267881, 18958246, 834362888, 428852519, 531437662, 439173076, 1052277824, 10302573, 63107164, 607580733, 1052051522, 166185131, 435367840, 516939337, 1053048161, 164509812, 691940420, 537847763, 166516960, 653634212, 504066491, 325605260, 534631772, 646604816, 683633264, 966363397, 8143525, 508161882, 134244299, 707741062, 942840794, 821907527, 1003342786, 216518257, 325549349, 981998924, 281833411, 807165331, 886130372, 884272248, 620881594, 512941457, 70318584, 505313098, 590426954, 223767836, 446568043, 417038728, 77538267, 735161218, 975126722, 996077956, 49935313, 60297066, 830502108, 245035563, 799707860, 184564453, 708141583, 27798055, 927330558, 778522896, 425145192, 717612342, 80059691, 612223035, 863205377, 715458913, 223734359, 274846260, 294422032, 551818222, 345949270, 156490858, 873509848, 758768839, 603629293, 50197176, 271372882, 711814093, 319145973, 640468358, 632926874, 59773073, 735505981, 269261719, 659453014, 374063225, 452343097, 99741817, 186663966, 416433800, 959295035, 819717032, 880713836, 801501575, 761561745, 212381961, 970206606, 742620117, 683060379, 967780176, 699804530, 1012012101, 794940911, 775246413, 929715462, 320155395, 711469480, 32137909, 833461346, 518397384, 617575012, 796374461, 265017371, 91057595, 107148586, 896464321, 539926627, 123344542, 109836006, 383889747, 219125775, 750711205, 236643188, 108395901, 887796185, 178932214, 162726574, 1020411850, 668446482, 798767000, 548996526, 851415476, 557820452, 529371625, 416004096, 1001281346, 448820802, 577802448, 1073137962, 296409954, 314705779, 525575664, 984472125, 170207964, 671334674, 421525417, 169160561, 682843872, 889895775, 786236, 693671763, 892543212, 813844201, 159503586, 110286113, 326764099, 194614420, 351935395, 279730914, 412673024, 836518108, 497895494, 263710619, 200411603, 906156448, 130985949, 150283061, 292080802, 632740665, 241606525, 1020258838, 266733065, 1027450765, 422057588, 903491029, 53281922, 433848770, 541111736, 759391302, 990635893, 1024368902, 803066812, 307207869, 912702511, 106943549, 75736412, 815501553, 998722314, 355735104, 992757564, 515819493, 847178691, 869986198, 909034482, 328545775, 513479136, 257716785, 680754573, 278547877, 500552585, 1021787252, 656638175, 781712342, 847572354, 919646399, 241346006, 539389993, 532694929, 396104834, 1024228348, 940467009, 671161705, 665640384, 382190731, 580434425, 12407200, 265645449, 1072145412, 57083040, 352965723, 896639233, 987077341, 966176770, 222691469, 350992712, 851108609, 878654204, 465443932, 654347075, 683731752, 673803355, 163965330, 544416754, 692468557, 576341057, 242437230, 231107478, 284505609, 247754048, 78886255, 801734266, 377918829, 649109182, 458728210, 683917665, 459034549, 824148026, 481545522, 600630369, 9587573, 948659808, 645882764, 1011276122, 1023727270, 739958790, 405550563, 493260648, 504470601, 228602250, 62559097, 441076125, 904581516, 845255725, 417066153, 1004766891, 596596310, 720132112, 27858197, 572742342, 581536947, 33643770, 847838233, 72326859, 183651314, 274566943, 732149112, 594546162, 989060948, 374917569, 296539980, 258281211, 1057493460, 120521796, 648560960, 253034840, 344692333, 513109985, 196068948, 863491488, 237609545, 727105900, 1067273741, 416539780, 555119363, 983486362, 755363679, 166773701, 327501880, 329171802, 276192001, 704770805, 875056165, 853070922, 108782913, 342494811, 473927359, 413032478, 943573287, 776299720, 321254582, 880728820, 457840666, 679583175, 380843167, 942846187, 703773130, 213673010, 33098686, 357468551, 1026008330, 328795538, 626254112, 909382898, 111991741, 902326175, 342417869, 609659006, 106510968, 45364883, 651003366, 281355070, 594187627, 278364647, 184464316, 187201019, 1032339347, 370459961, 204122375, 719265004, 149814259, 921750533, 15450399, 109526525, 405019511, 46734402, 354503533, 930352655, 1066215984, 470504961, 364213130, 719085633, 342000476, 266350654, 787056151, 1060314798, 534005591, 102253947, 365614573, 577943389, 123211770, 166268691, 258500163, 53866902, 574795435, 1022939458, 521010063, 1035122158, 223665413, 429925896, 604892312, 732859896, 35851383, 170595866, 488549418, 314622047, 526492792, 782612094, 537426709, 721838206, 623806058, 808262522, 149566521, 165189255, 903404682, 635756991, 537196760, 266987691, 884436941, 742719767, 873709979, 484880529, 1013694745, 289634883, 189619359, 549697992, 206440037, 514761359, 778636577, 243141078, 604405136, 1068107400, 271114835, 796715144, 20155238, 917017583, 771654305, 715921984, 552261206, 78646574, 1054920825, 198730091, 309694443, 113594789, 248052480, 900833559, 139988755, 872174346, 827039449, 95370281, 350020118, 928086083, 596245840, 844663880, 642487543, 150069550, 341510335, 764443471, 185636360, 220880687, 92105336, 934064473, 844602367, 317368946, 332679393, 733896692, 32890827, 677629303, 49011132, 784354494, 86841133, 120757253, 735669703, 830215381, 910714388, 309043829, 831946222, 408582054, 451110953, 390508349, 638738453, 852435136, 457460545, 913638982, 748454640, 300317776, 1042941226, 184251733, 692414572, 935077733, 752778561, 576905377, 530500687, 90377798, 682538060, 927568593, 882523530, 933779999, 498956053, 392254912, 1037864959, 867590843, 113612570, 704059520, 562183442, 638584205, 418280550, 273498877, 281712644, 44725384, 166954497, 760455912, 32400347, 844790990, 64644606, 692179273, 166481926, 877526522, 153367661, 279102045, 896801709, 322730921, 612720707, 223842686, 762485526, 602405669, 669411044, 947310304, 407796464, 642509773, 1052172054, 887352737, 646275363, 415746386, 565585839, 377701032, 114600712, 717441915, 318745638, 136415733, 163580107, 644928283, 163804670, 470944085, 879466543, 212632339, 860960979, 1009540162, 446609509, 200669542, 13332672, 923755342, 362139650, 460898527, 336920104, 468228042, 477596551, 904706878, 34501124, 809233007, 51877026, 525168908, 190170379, 17468395, 478980493, 534856948, 997314876, 354950200, 501063042, 199303055, 109324769, 831382566, 612491000, 351638979, 412709881, 405896136, 465500856, 155643225, 209072113, 471508081, 836214730, 778395715, 225769519, 739445157, 932348524, 592938119, 96337921, 582600945, 995308788, 575981036, 238426371, 11058411, 327703323, 711560310, 55337111, 265847186, 35110959, 1062076376, 606271944, 878235448, 150267950, 453667014, 597400362, 505922147, 417937699, 841317498, 704208986, 237888441, 755163602, 10301707, 737476596, 239311980, 555403024, 624405528, 989560291, 305213871, 125276377, 610905728, 200734036, 663284152, 411762837, 280682360, 692981372, 758391837, 123522929, 491687338, 949309120, 501698152, 892940219, 1041155317, 911231113, 1019282115, 4780466, 860826278, 1025143445, 996370534, 169344673, 575360243, 269295135, 963347771, 87779680, 419735429, 93653371, 114278358, 376535854, 652554497, 524446859, 278641608, 173032047, 916337048, 753565136, 733100705, 267771861, 469902596, 96754607, 547713656, 742176183, 1025866153, 28509349, 600273283, 565754446, 676789164, 957434786, 202583753, 72047464, 333710915, 665505699, 177347107, 919504208, 301776566, 806263685, 525303181, 910647044, 761927635, 969083137, 347485014, 174674990, 233549350, 551763089, 90424623, 124713836, 757270587, 171304734, 391970179, 669248359, 1033236574, 430878697, 482845908, 471616795, 26905921, 885902180, 769812101, 941921971, 934651529, 543787469, 730802374, 114854984, 427882648, 849545139, 1011009843, 964262374, 475500741, 176889237, 1034944792, 86445603, 133902493, 933280866, 833465448, 961809673, 329229372, 632779191, 109579664, 452278514, 257160433, 420078738, 701986737, 765221476, 22174933, 422535670, 814180731, 655879235, 135278953, 835041723, 67868804, 216788046, 686857959, 914469300, 625712475, 205240898, 103424978, 872361544, 135047097, 1000970971, 124066913, 531062610, 608969773, 874773900, 749376803, 724862350, 640625306, 1057650166, 564134489, 386700075, 848974830, 162024239, 188509059, 176802103, 653034098, 220425134, 880050151, 860696117, 222347098, 1059449759, 799599372, 823327879, 450416770, 324192278, 174936747, 499792338, 891255315, 379252512, 770810171, 1051619971, 161632597, 518431638, 55991230, 371180607, 738633290, 930385816, 27694826, 659890289, 322094626, 610907315, 703292077, 923035323, 99353053, 423367149, 627211476, 123261903, 863610309, 263830033, 989235189, 265723791, 123479357, 528570855, 173275910, 300685684, 921864857, 108341052, 396552630, 674513912, 256262141, 838986257, 667993059, 800085797, 788848748, 644229078, 76984201, 362750181, 915312463, 406324156, 53352833, 421538580, 407981089, 391839174, 262698648, 913106306, 939877682, 704193113, 939781646, 268299252, 50144149, 664283896, 920158123, 794397896, 415746719, 501836918, 845085601, 114376782, 771429076, 98069740, 1018672047, 425380180, 745015335, 620535828, 122053014, 579007860, 153250778, 567292728, 909224753, 179858001, 1026542486, 605891073, 542662865, 1001938969, 938125930, 899283402, 680005617, 349883448, 817378021, 760451874, 163567429, 813836826, 177162321, 403876822, 1063451375, 415273088, 841982241, 634148580, 625466290, 556355453, 855237778, 1061186151, 567302381, 179204259, 591951518, 238722049, 725169467, 911714517, 689529328, 1003997749, 825476298, 767505585, 392480061, 901932502, 1057071382, 811255116, 910183478, 520186940, 385816457, 192201960, 595797706, 75349671, 203910057, 903922064, 537510302, 1042833649, 927751397, 99524900, 778519089, 852432556, 702202148, 166778240, 683278060, 918837285, 255520867, 392670529, 374355008, 835031268, 290525331, 748951212, 995622749, 939968943, 162230572, 406781841, 899756607, 983192418, 878557237, 336276935, 1044413736, 18228772, 651363429, 1008148591, 1037779459, 808655691, 294096753, 487825138, 870987559, 220991913, 8916417, 311383475, 714608332, 423388904, 103145574, 385628312, 942974419, 270278218, 132208883, 1072922153, 590359672, 863314533, 1022957351, 500926495, 273817018, 674047269, 793948505, 624355179, 911246165, 21321865, 844485983, 996786409, 45138615, 337026578, 995263156, 823063506, 531858662, 991119556, 560651550, 967777466, 630015071, 822686318, 836230690, 953839023, 869103686, 101472123, 903818135, 692430398, 864771072, 551157039, 974460896, 1041234619, 690614369, 794105410, 1034405436, 547958046, 764536867, 301666258, 761552632, 643731826, 26898501, 143121535, 859426340, 1058040137, 258054528, 147506653, 873438110, 128147755, 310562164, 966894199, 924091712, 701329848, 732432552, 284715349, 556379237, 14719111, 918168363, 38726417, 300209241, 726881965, 1023174912, 1007286373, 794447680, 415359488, 990957529, 721813645, 681491905, 195697408, 721676550, 757383449, 718832886, 103869775, 98179096, 577757307, 822070481, 923395478, 204050299, 802694774, 113570160, 491900758, 704538507, 621026472, 83491372, 276395894, 497009159, 903396369, 258761703, 513985931, 577518959, 1029812490, 433722404, 881249824, 186316440, 972279632, 340635566, 518134460, 18815675, 233411846, 269002373, 326910572, 541315800, 217784595, 931789984, 438544540, 490526455, 198814321, 130890174, 773867813, 100565141, 1032716258, 612273915, 1045033102, 336514145, 483018217, 111699482, 875786331, 314962235, 620137336, 838564201, 823228570, 476442383, 261064987, 231188078, 645501010, 265948241, 701333060, 999442881, 662620110, 961474677, 668539349, 973592564, 755688263, 818034956, 608531016, 655244463, 71007047, 594650734, 958162122, 570952051, 411886739, 782764269, 507725385, 148947408, 647985823, 108853796, 240456525, 212915268, 757742466, 905956239, 245055507, 968865534, 669841128, 850751337, 233549383, 771234412, 463780203, 958746726, 205650008, 389526551, 1046978480, 689357092, 606391268, 269088727, 337530752, 748469582, 101359941, 797238082, 1068302529, 17531, 49340419, 294442892, 754049934, 732176558, 583466480, 581129587, 49399686, 234648152, 1061740162, 875155428, 868609265, 505824668, 92086537, 936885195, 448271590, 252045510, 158752759, 161588485, 750388445, 74873002, 228961422, 509018237, 427293399, 989574777, 240275431, 102061856, 20357175, 372101144, 1070106446, 246529937, 380286079, 76107763, 285504048, 45615241, 622899159, 256373331, 931753146, 928372083, 393920675, 727296294, 237227921, 266372206, 142810464, 729357274, 195517555, 205887541, 506400135, 294138421, 323736394, 402378794, 978050648, 31700502, 831433433, 187617063, 240536443, 336637763, 657539856, 368319514, 920626234, 97506816, 581330755, 803585762, 841938153, 577744357, 966620381, 460927650, 375824740, 143278945, 772817162, 890780964, 561227907, 981363250, 231602897, 241219104, 492298957, 897029536, 235767017, 42057694, 765750928, 677752653, 661242929, 1046746657, 891268165, 965483242, 822903521, 432579198, 720446027, 127149584, 987852890, 807002580, 985797847, 684318813, 137993974, 63923790, 271570131, 117120799, 668488591, 386953721, 636308812, 339651386, 90001944, 888867995, 930203903, 261094838, 601287089, 176149061, 743396463, 1030783051, 219876510, 707417161, 940549890, 160999127, 426276004, 558358906, 51315185, 846491395, 651397486, 722043564, 225163958, 36836235, 446853677, 826989046, 304382799, 133532201, 1021350366, 29932223, 522967203, 345248101, 265532737, 953475741, 174113362, 515348617, 1061798133, 387938195, 944690610, 702584790, 528174614, 778825104, 1005262374, 919282228, 696514144, 570303747, 1052665701, 1004774214, 631067657, 950174940, 785085852, 97572277, 1066850739, 1058483442, 561128666, 403282719, 393469341, 690339490, 973583186, 862580479, 1041778207, 1018745129, 201353575, 242225645, 1053346435, 1030786448, 785879837, 69006903, 770180798, 319810206, 197249572, 92728839, 384436428, 384881635, 549856251, 612116115, 998513243, 216873999, 8287980, 178698344, 881401747, 1035230687, 429953767, 77894327, 280381024, 866655006, 744949514, 146379368, 627606756, 747432775, 600315066, 933447433, 36565859, 688887219, 964279697, 257701191, 817694817, 97336559, 1062538804, 461956252, 747000141, 877736072, 666117057, 340499182, 53980318, 832128276, 944513995, 639549190, 208251582, 769361788, 1042403811, 433449807, 680040086, 100872537, 474592911, 584656522, 452920356, 491819943, 1021336419, 167766120, 460393577, 190725792, 887504377, 298610833, 638562247, 757795097, 328508288, 603287017, 743055233, 940883200, 774426973, 771673837, 47998712, 351989031, 103694389, 115377230, 821212188, 1033057388, 41059185, 354524229, 791817312, 1067917064, 131081599, 732150799, 321612793, 169106485, 730866809, 59876930, 181787815, 178456494, 1005401129, 912447153, 182307011, 684329887, 1047871039, 278739577, 331192184, 694009625, 686332716, 216548195, 133129611, 623792972, 603718843, 27988037, 877971834, 528015642, 809747287, 622170422, 354295624, 646019814, 856954389, 631094284, 747800876, 743386887, 195316887, 432403006, 41036234, 130675708, 748731707, 404379480, 365607596, 391180163, 796297211, 626546438, 254235250, 226335640, 997795921, 863062962, 452569335, 213648079, 204060039, 111674429, 219685091, 985119097, 587898026, 675193730, 678282200, 107482724, 529890363, 669825397, 830755692, 477568384, 535325478, 350733945, 594509491, 538827934, 292863721, 524173496, 124514593, 684835220, 436017499, 200915767, 370981220, 498921893, 16222200, 45324345, 266505771, 589369168, 512779924, 82469523, 159112796, 754218717, 648566399, 461558265, 304155412, 174884377, 215270907, 39202561, 715562600, 172881227, 393507960, 537238038, 371129331, 844332125, 712721444, 586650185, 260790548, 903819820, 787953734, 1053193081, 504426267, 167130533, 810248555, 64018193, 263174107, 563018182, 694882427, 711171991, 346672183, 303315835, 925936120, 1026568283, 618958684, 340215632, 529693642, 844648395, 449074959, 547294945, 426270002, 309178930, 301963608, 333568162, 17636010, 352566489, 567402404, 641009201, 48082415, 240932984, 207842411, 326196744, 834467725, 106268869, 786372811, 823177307, 471469659, 31211253, 514002876, 862973842, 794249803, 218804188, 304267901, 1029717632, 615447936, 365043242, 500858891, 41441860, 36202063, 110482534, 998820577, 839939036, 610925920, 235323831, 553740228, 990780133, 525380738, 377270246, 360497588, 476015250, 1035791076, 576513931, 907293155, 1053862775, 842376023, 806243073, 128733087, 872102216, 889771375, 896862867, 362387684, 326252179, 700846694, 372658334, 1026717065, 500447531, 10083675, 587135643, 391116001, 54879382, 61126194, 957522764, 621715390, 758130571, 780945231, 915149112, 324377758, 20908778, 860112583, 712230849, 551839436, 455056128, 509669013, 440520305, 940495441, 662848838, 176437245, 296415268, 543774669, 264215885, 798218785, 1067247974, 411232646, 748466111, 867688481, 648070937, 217216380, 882306167, 335951350, 669001374, 79654391, 519045778, 1053621199, 116189962, 158165023, 414201044, 86652621, 721029436, 216853133, 353852749, 935776493, 677678304, 23369388, 210391551, 25022562, 531976331, 611572215, 991534468, 41086119, 750046585, 717971549, 98076603, 490698376, 72354232, 511352126, 572926047, 244596578, 391990159, 793668444, 814166363, 506376336, 600550878, 368721982, 849989780, 492375988, 610039332, 370634144, 101039534, 310459146, 394504428, 282434276, 1050715825, 1069724901, 297607498, 28522549, 644814431, 206406307, 596458313, 946319867, 560861367, 695048883, 921928587, 379991140, 718023805, 1066525510, 128957731, 405970357, 615609740, 739237960, 80620228, 58048813, 199551044, 441287477, 1001907373, 536539065, 478185494, 109054317, 1034695377, 1028696234, 23582463, 111359568, 119665684, 199301902, 579120808, 674869805, 341858018, 516548522, 894450967, 522631992, 1003124789, 105848206, 412878005, 906428150, 653685402, 655196919, 91329171, 465395165, 987316063, 1027862973, 829585829, 746566654, 866860500, 445460072, 1066008730, 87010138, 220127009, 545774383, 703002727, 720258873, 565749599, 317814843, 175235414, 389884726, 889299105, 54117382, 131116229, 986232411, 920829305, 27913393, 377404208, 1067196042, 790364482, 232584086, 685560837, 707414156, 251587728, 103220769, 820477492, 53759249, 682655117, 677025747, 845289939, 53911174, 650541393, 839217776, 41389763, 162884043, 467551449, 492792112, 866579400, 235104588, 389933865, 946246051, 534397769, 866201323, 233887223, 781357369, 351926957, 1015506698, 276227461, 372191233, 1013891119, 363176389, 301047808, 435796891, 809434095, 852628274, 982514523, 33368698, 564746020, 630757562, 52740812, 11466566, 86940235, 629083207, 30549324, 551678489, 224889461, 858077283, 308151083, 736693249, 83652144, 367734829, 1054630789, 101801748, 861335456, 553257304, 659822521, 504715886, 889680931, 133261958, 872471307, 874251543, 398333516, 251524158, 836745783, 264891583, 417012250, 1017982553, 813617772, 1062181173, 379410033, 321283312, 592466360, 621384136, 607999553, 1067060904, 495512971, 206574067, 92921252, 605283163, 597946505, 116949529, 966871398, 152896476, 591619526, 917559488, 1007999575, 898913094, 201526572, 190403519, 170540480, 655106259, 87606301, 1053822571, 560018783, 844940352, 475329824, 691021177, 402304367, 612772871, 463588907, 326481935, 677858564, 445459861, 255055535, 102871307, 626091547, 941491687, 35479742, 1018915812, 6151476, 303626657, 919341550, 354622323, 461028769, 802486104, 260733058, 743095534, 831214275, 893860434, 1063799422, 629124960, 598347433, 1015237349, 746704752, 665025326, 6602492, 508111434, 967414975, 697468108, 428859905, 831737075, 392935106, 240388034, 651512757, 26817991, 277684297, 825814925, 224021219, 612111785, 325126363, 184332525, 261253676, 80976231, 38657276, 785112225, 174347450, 319276391, 417807040, 568820993, 280525355, 847244955, 620227915, 428125939, 121321298, 86624809, 106633643, 967442058, 137749006, 726890000, 100819722, 80015512, 778167248, 393456498, 446561116, 117291220, 143395782, 777189485, 580931901, 290997958, 388843843, 461880388, 253951732, 148646991, 975318690, 330268930, 671128989, 176875760, 707888246, 702115697, 323854232, 315447760, 522096994, 83689945, 675168870, 121243876, 348510287, 87830393, 170583979, 1064269888, 355335191, 624602004, 9708875, 993050980, 867418014, 234771879, 223769088, 614128351, 233583310, 7057281, 198306204, 548761036, 245187005, 1018792170, 500613235, 343290865, 388740728, 650221540, 346347858, 307476236, 425696313, 702513493, 366937118, 319429798, 480745829, 838121383, 648899275, 661751082, 51059790, 817508405, 355837251, 361799859, 797773287, 926760281, 638177057, 999599143, 318575112, 866663458, 64431502, 668804523, 628903110, 564280421, 851735178, 218921481, 1019045622, 1051260019, 809735716, 613536768, 496646055, 346431505, 677693702, 883188519, 913433289, 521446561, 561060439, 299849892, 706022513, 909591625, 867207595, 782739008, 507873127, 17477479, 905948822, 293064406, 960038309, 532017737, 5238690, 5452038, 889737252, 794778831, 252056435, 311950857, 903681464, 650232685, 509440728, 125049700, 1009217974, 453575211, 16360419, 800982405, 862840674, 869945689, 1011588177, 832094851, 331335331, 235813727, 295789135, 627749847, 575848695, 708801640, 815993675, 81106648, 380967524, 174098297, 265167706, 608758491, 671569646, 851550217, 538973235, 381518908, 511687520, 866804066, 185533251, 200529030, 483228542, 87501137, 444083645, 218415970, 712316430, 514984347, 56095302, 312636703, 908771312, 569766811, 5372197, 924879501, 394160378, 979672419, 612124168, 309798171, 1045373382, 517277464, 398501394, 679988684, 112142280, 966695157, 991814389, 657586222, 593582242, 293077894, 334410358, 257034463, 390382617, 418329826, 688566660, 372362121, 983404475, 558196218, 971944743, 177924218, 673004419, 918245354, 427705539, 401085400, 148086414, 497391751, 658183169, 757189695, 833941499, 528585011, 1034447023, 442152471, 767508554, 513902810, 927251134, 774290114, 226789797, 1002590287, 829763828, 145495746, 97899899, 820327511, 633206244, 265239237, 89988147, 902392734, 86068233, 649108456, 177251983, 342341522, 415729576, 87893539, 18649924, 819466110, 178354885, 668330220, 513651982, 512976339, 618982659, 243570882, 210356741, 200720509, 76377830, 970476583, 740682623, 811160285, 268061578, 288151239, 471424915, 693410215, 702422219, 557377751, 566121204, 611242003, 249619544, 846134210, 818142038, 770208026, 62759749, 232752090, 344951322, 1011372202, 202366382, 107069502, 244084371, 128674513, 730803790, 22670629, 292713574, 381785605, 839818795, 1002002922, 785779899, 781691437, 792981597, 986778236, 429124282, 414905059, 761791767, 428836115, 979708106, 108647999, 307611448, 509165466, 283499403, 10150709, 1024727258, 540523114, 939262084, 664860063, 903339591, 1003326880, 743615503, 132649563, 859352689, 628726389, 525873608, 37923316, 1027331076, 987615471, 436346181, 674604730, 1001954105, 689111432, 366599608, 452037167, 249709539, 728316573, 582079213, 1025770193, 433262823, 389671449, 69185483, 1000358331, 70114535, 578055497, 225000233, 2867820, 316342555, 950902918, 895867936, 749165541, 197498699, 270531943, 96115468, 904070957, 1034251708, 397659927, 932236308, 693898714, 589546056, 5967840, 783384076, 493010488, 918186536, 227451232, 1021566252, 851190991, 200723209, 468207480, 783301177, 951339610, 450734691, 882642874, 777173256, 799465522, 467556995, 182273528, 636923116, 402423731, 945241731, 957996095, 401885138, 628240471, 275326821, 521110088, 126214067, 511780228, 553094614, 744060991, 954528272, 758113942, 430564447, 628099436, 151544127, 323838863, 43025612, 361802278, 237015835, 905744566, 496134528, 56348176, 379510221, 983704700, 304376797, 384929367, 607548837, 803764723, 228365524, 481563956, 764540654, 981834419, 894701344, 444018556, 868086186, 380945748, 450633355, 902328819, 449779580, 762020708, 1060999390, 391723721, 356085370, 368411152, 496527010, 1064792535, 998943924, 164144270, 98330094, 728130323, 317342891, 937606275, 995306186, 597522725, 1053108988, 904889331, 213252512, 117281021, 428787894, 662795167, 177060836, 523733207, 870995636, 950961609, 851993315, 125455734, 81675396, 643529766, 652389891, 982993835, 742093594, 732560274, 984586469, 747834195, 315010709, 803660437, 941550471, 1017571440, 321331832, 477099244, 197602657, 172760478, 1017814144, 747217731, 524267869, 658002568, 283395464, 402328154, 746272602, 715931648, 299665508, 924760256, 957347132, 244555141, 3794213, 35878667, 834634807, 581564316, 952891292, 62100845, 506939148, 186363306, 340751375, 699692566, 129283135, 420705224, 281113777, 378367364, 709588818, 940232824, 612560912, 884227451, 289088991, 296674949, 403852038, 1024996008, 185657292, 609048766, 255272158, 186986372, 243574357, 470378750, 564329416, 155190529, 651542511, 576135757, 894761378, 331832352, 356023433, 657846679, 751182954, 854515039, 238111029, 963280373, 114332401, 787045787, 435043138, 915299017, 464432908, 147083893, 584711737, 788262080, 341564298, 623556688, 10696823, 272175324, 700793269, 9444737, 285419603, 288133166, 1036529717, 718256380, 1029886321, 674118260, 855574135, 305790912, 378853983, 637116203, 307243781, 419587358, 152014027, 923428999, 913115600, 567439061, 972743807, 594848262, 969196136, 746065645, 928377688, 582493170, 989191750, 383635953, 781787894, 1023929465, 532170640, 691090296, 987211877, 137340528, 545867361, 33855451, 229841265, 564906939, 227203856, 240039369, 237904174, 113981728, 468518399, 672112074, 274105444, 350770539, 420514463, 666692056, 490472900, 148878997, 832427789, 85696374, 40206257, 92216680, 789751409, 969212656, 974791273, 646624517, 854639613, 270165647, 1024393136, 519709538, 992810716, 842704243, 801789102, 746295564, 698533852, 982651894, 489356924, 1030350525, 829726701, 880957429, 8892795, 219058482, 647225753, 830349401, 434900306, 406259022, 97746814, 529463146, 744946697, 364365796, 320331036, 642419168, 31261607, 962869898, 785345551, 390783324, 37167998, 875960692, 189260561, 969893415, 701844466, 624415583, 67671885, 517443526, 380693467, 559226595, 289854045, 704372155, 634613759, 762808467, 180533596, 406445962, 360901320, 577453603, 1001281957, 580614647, 407184951, 642902198, 782547924, 122712826, 293969639, 942568071, 927658901, 999684981, 281630519, 451888648, 1026689575, 957014982, 118694979, 1021516378, 426119188, 1042740168, 379239, 127431283, 956270448, 850284107, 8498978, 995886561, 953970583, 675484158, 432624256, 974770911, 359439648, 441358109, 780306809, 720619155, 319211016, 167664005, 920236963, 221900659, 937953985, 787172187, 27798524, 1035717871, 981856654, 596791412, 450813088, 456273249, 248976110, 286838696, 795684998, 901984898, 490818265, 554943980, 1005666596, 599984279, 355902475, 841269572, 569225404, 391890038, 1068676901, 151244537, 443169904, 1007117496, 243087502, 810997628, 192230369, 963495744, 441309909, 205752784, 92958861, 5192866, 792145535, 171816173, 934151508, 136720282, 908909614, 578173093, 723340384, 288690764, 178563845, 843421359, 149689847, 155760356, 561398849, 179458884, 657047294, 597150764, 1069464815, 277905915, 979357184, 905042830, 138629930, 920493743, 444334452, 948220055, 468381359, 738194040, 996013252, 464563162, 1021050058, 52783381, 964277720, 455432608, 722423246, 230186233, 947200498, 840358990, 264536986, 844285523, 765308900, 360522255, 1054557022, 839545804, 414074041, 364397391, 535142256, 251227548, 485965193, 436729285, 556465165, 676365876, 98772347, 506674907, 611048118, 706896665, 778366342, 578128550, 1014631315, 28146619, 597553269, 692329506, 467229830, 638517299, 94860128, 365445028, 130932796, 1004643480, 960438204, 284434633, 930053070, 1054013242, 12356821, 780978057, 994640793, 183016095, 346204181, 251300456, 98873429, 579763292, 900640501, 168072654, 698303526, 470614101, 366194559, 553226149, 396575013, 489518839, 950552208, 248715499, 1023042842, 992816519, 395753399, 445853998, 226792573, 485334426, 950364535, 534617276, 798878910, 147666983, 327854307, 788544477, 284250682, 1048660920, 100727880, 257800947, 90303675, 230168458, 669929860, 203232224, 893304736, 671648620, 996554884, 1011138041, 85394644, 180680891, 959489014, 1028154380, 993827094, 959954328, 557293924, 617249644, 120340328, 89262592, 504703323, 861911103, 977321011, 940006781, 367726402, 486467258, 1059767287, 601372761, 464481028, 270114899, 360238886, 1045707423, 194585808, 976664828, 192833962, 817592945, 24995959, 621688719, 304346099, 376126543, 536523005, 73855370, 659659863, 48019041, 140088510, 977928520, 836501653, 749336626, 831971019, 582368203, 575686579, 241944810, 43908039, 893137338, 715512545, 927689385, 62789792, 1001372804, 85658285, 530646099, 592210686, 1050322003, 25176975, 603790621, 502580987, 946737520, 1044348227, 317290091, 39395046, 179922093, 254866067, 50475615, 65940587, 271800090, 56230305, 413952152, 962665081, 568885716, 795198740, 929928355, 395886351, 714588507, 825084080, 209261799, 109945853, 59851554, 346948609, 64286903, 780072569, 1031961534, 299167570, 912841635, 108762132, 173048099, 464057351, 991692356, 591236991, 444295384, 321167757, 7636481, 73388614, 36942687, 672265478, 732690248, 677304858, 1060637791, 332070676, 562228415, 634650136, 162056081, 1072932816, 392957392, 89343756, 464821566, 646854463, 461987612, 55899217, 194661597, 90994634, 600586726, 672456505, 102526949, 736380242, 495597683, 791149759, 213037123, 434427793, 317880996, 697726452, 701399901, 736005220, 391674943, 34494478, 93652657, 586656658, 556860458, 906456653, 89678636, 992013111, 918449411, 825316716, 181460650, 890585842, 436684929, 543866580, 387569905, 736147205, 350517388, 644014110, 908227308, 189411152, 1006957976, 324364825, 723631772, 967157882, 141121036, 376614617, 86369469, 726028945, 838619109, 1061726962, 522643560, 822252448, 660192387, 428597171, 536954517, 824998857, 562100323, 607286941, 44324213, 997285066, 1062294506, 856563583, 460275632, 884788577, 893999767, 569080305, 330804409, 1028489066, 1065640758, 118948797, 309597019, 899769815, 601837456, 92059231, 196344096, 503122881, 948694820, 165581256, 835615456, 818380370, 321708163, 464833627, 254064585, 508605989, 928861580, 611738238, 515456554, 655402165, 232017700, 510149316, 990008218, 872820982, 404203915, 963563119, 941972939, 917634746, 908380643, 512342887, 6196218, 691739510, 833820330, 676172922, 561453347, 416853858, 555450371, 482451263, 429794921, 117376407, 865325597, 5777068, 521313864, 314214213, 568454254, 845497945, 297862123, 142989361, 790061683, 331940198, 298034008, 455582410, 614232788, 95791394, 391050731, 370233432, 186965921, 28933233, 143284474, 1005056153, 639808592, 214226057, 1022716801, 966340086, 1012143393, 730445451, 68353832, 167973352, 983267580, 448545428, 170991671, 1038619795, 699219380, 97380251, 783587118, 385487388, 553770048, 807132801, 244221226, 526393226, 541749168, 503619898, 270195512, 896322560, 103956737, 390874821, 731324873, 597196399, 815801039, 64845804, 448241537, 664969574, 497613247, 387342881, 612845614, 859380923, 14512847, 858078853, 498389805, 935696048, 888479085, 774806267, 344920043, 590758520, 817133433, 543353876, 996965962, 895320317, 732696952, 134565902, 799163161, 298827245, 909370254, 44432368, 34207301, 700241090, 555812066, 537550116, 404203590, 446639962, 686890127, 45124731, 330901147, 997057970, 796310556, 603385426, 177365729, 997578959, 361040786, 148729487, 391663153, 146869785, 299624800, 801825590, 755106939, 355625742, 27177863, 972870313, 78158194, 431171396, 112848886, 271772216, 47490740, 733320167, 812357099, 40170364, 1054804455, 1025559678, 732332838, 270985116, 267671822, 384762563, 744776195, 23134984, 706925312, 416555799, 712332067, 163041989, 767959189, 902650196, 109603503, 669612303, 718771583, 677328659, 902542565, 892971840, 760839665, 446475634, 188603304, 348214466, 467212811, 947411320, 1033995916, 54413834, 922301349, 271573178, 992361485, 96203621, 684953019, 404619743, 7779370, 408256130, 822277765, 489966780, 983270660, 882162227, 23027136, 394851599, 401046702, 747293703, 564078349, 413218837, 413632817, 353721453, 500149955, 316527657, 1020671317, 512185540, 805012916, 518953232, 423017260, 839194671, 74539958, 495476260, 1010994354, 588229620, 757334926, 406597838, 283931084, 865711827, 16172946, 136917253, 640597370, 517978640, 641369295, 382346380, 416496413, 60149957, 291414851, 948547894, 81165460, 655816608, 26603448, 429968793, 584420396, 650758677, 249588626, 1027241663, 771947401, 454768787, 1073574807, 531876928, 952215823, 649750816, 791883339, 532514427, 451500173, 390409897, 651230962, 279707291, 968927516, 210297933, 930024456, 199657242, 94828346, 216623952, 225995851, 271966777, 738939870, 1007002296, 354484130, 504626292, 813410211, 956898929, 35937411, 10888531, 544570567, 857073203, 647375320, 974519466, 13504214, 64782135, 444410642, 4169045, 610140778, 556519858, 897045891, 185978869, 972961640, 930429797, 734970138, 849759676, 788244324, 736637723, 725334125, 274044457, 157693183, 338516672, 831525059, 168562228, 718149571, 878759211, 5514381, 352379991, 647970229, 584290761, 48228251, 940866180, 194577033, 672249841, 354744316, 459993223, 386410675, 311723654, 742871277, 857306411, 752564054, 592813765, 682880793, 9203063, 18208436, 642350171, 740441410, 743891768, 1058608928, 556218884, 867383226, 718790866, 759253257, 449812148, 601486549, 184511435, 442177150, 255725265, 550044256, 122049227, 373180430, 289039201, 107287837, 689337754, 182155787, 550364999, 975662516, 398638003, 13321128, 198707766, 852163582, 712572414, 89839185, 324478655, 547971042, 812812033, 1070853452, 562292931, 128586934, 869505569, 688460780, 678404811, 538409558, 448890934, 535384434, 43377595, 46136795, 732258897, 997648913, 608999755, 720149239, 707894175, 123259437, 375316057, 621844234, 697131625, 235144, 348597617, 267219555, 407399237, 586257017, 423996694, 351994104, 291476612, 354030242, 741676367, 247792653, 796745105, 1058340614, 762473771, 113043051, 3181074, 841434651, 898039245, 694017890, 169611135, 725303829, 266677936, 883711719, 89387952, 886989276, 510381622, 57817588, 707008508, 653430716, 228055076, 437265491, 507569993, 712022255, 530558783, 256608811, 7254525, 38587743, 829400486, 117678293, 220062193, 981289335, 261298545, 898959248, 913374670, 845318870, 90396523, 702855318, 54644043, 1025578121, 344320054, 585278117, 438453606, 1027327885, 422282672, 661208570, 748296202, 1007433834, 907110111, 84689620, 1069872574, 228628337, 199169278, 934886259, 66097849, 158937991, 73099971, 246042702, 440663123, 761823909, 484141686, 943025453, 69183999, 511015600, 550540273, 630488184, 793038702, 412523827, 851890039, 920434958, 1050331965, 410262834, 1070908095, 876209956, 478223445, 271902936, 902441817, 816993242, 12508510, 916680791, 818703205, 916374537, 36216718, 667834977, 303920785, 306214364, 1034800321, 676748434, 1000713291, 614073848, 552459115, 888743033, 949407272, 165093792, 245149929, 685445017, 463384199, 866071346, 734665561, 592845742, 462127132, 1024105680, 424631455, 580053530, 117483550, 552878154, 685025203, 767877058, 368135054, 557453059, 20337084, 99212877, 172894929, 592634687, 711510516, 341833345, 153780819, 808506213, 996042119, 911983410, 291046561, 117644879, 414661440, 904425082, 1020192738, 36588872, 912086105, 321098861, 1045176099, 424710270, 812625241, 605372881, 47816537, 59392987, 609437733, 48020584, 534100809, 722916713, 989487156, 683178846, 783122278, 379936234, 380979989, 22150746, 788512804, 116378746, 776159575, 592146960, 808955724, 1072664525, 770135821, 361699230, 585627225, 583179788, 707994158, 589073116, 874009053, 418703596, 1028183000, 978688497, 167155268, 363609915, 915098236, 830083388, 692467469, 919084034, 1024853277, 184291036, 175669688, 52689217, 467800048, 953068735, 521210362, 588384449, 1034036750, 776611763, 745144087, 19450257, 506709352, 501141640, 967386812, 126793967, 936369784, 594721285, 873980911, 839424628, 397975643, 517820627, 486851062, 308386456, 778288060, 296678150, 878537732, 821703754, 394280339, 777577449, 224404282, 518077099, 972367623, 332793710, 883454110, 1037261931, 858539874, 481307767, 311706079, 662444953, 999736541, 1038349097, 381305775, 999314386, 988288671, 988061722, 4048007, 198011094, 40051789, 112982652, 240696942, 243839191, 121108332, 1028794330, 223259436, 586197664, 56994704, 1043486928, 1044954146, 992023136, 259299579, 1012428367, 468091514, 237138056, 25429009, 433247028, 422880910, 300515304, 222829216, 555356487, 583286982, 886086271, 29681161, 690480482, 1039196251, 135891613, 555183227, 173999117, 175425943, 925993391, 605843563, 774649358, 84260601, 106215107, 765220779, 644655101, 847511491, 542796408, 849038625, 230327674, 143684649, 302387487, 760852783, 637786539, 755758807, 867627620, 458797515, 1012872345, 234847632, 230026826, 678470969, 1048337694, 1001442777, 894668841, 1018500000, 156971138, 984898372, 262986967, 259712155, 52187538, 675535751, 22249891, 513412012, 312578422, 755905529, 323473287, 765140856, 580894351, 895997563, 212192484, 917343169, 199390137, 482376877, 724906899, 131495162, 1017456999, 21607769, 617332242, 112308464, 263835840, 2533703, 868146837, 446865330, 852525968, 453634414, 708190256, 206652742, 355087018, 281937219, 1026676023, 407748026, 42684515, 147383306, 725963177, 987987763, 198784029, 254364934, 4989933, 530488900, 1018668336, 1023391405, 846603268, 848600464, 363497091, 75350792, 491303072, 407640324, 360671853, 659591515, 548643559, 326324192, 340789917, 800441103, 552185087, 512993972, 204006010, 669140945, 550413215, 710155393, 844118915, 969192379, 387172422, 470471480, 435786644, 293616132, 697286226, 1002923071, 455976564, 634375323, 283197257, 511149448, 610546346, 557765094, 988133778, 1006220035, 1069853172, 225063465, 276372535, 406593177, 647660464, 891445619, 488515754, 902874337, 892524048, 146824159, 72563784, 593458126, 841251922, 522507150, 788815748, 701776169, 656872284, 192441614, 366911582, 997732832, 169015629, 305216198, 665303207, 941407192, 992019388, 285748385, 536598242, 1052927551, 1045726459, 85926187, 729319982, 594770786, 566473454, 53635476, 584642046, 67961345, 30687647, 6697876, 480616014, 760579423, 322005987, 721986022, 552164914, 441693013, 542910147, 842268896, 664295597, 603541056, 293632665, 847679553, 911839187, 979696786, 181724825, 375477085, 166463325, 484233346, 692411369, 694766874, 986285851, 524034298, 417759842, 844612705, 821275309, 330907774, 243588909, 992385928, 527431474, 350386912, 326574887, 526818826, 770875481, 759071535, 474723087, 532640368, 47603048, 1018279659, 216622431, 261945161, 863552659, 193240785, 827872682, 33424180, 910506294, 393448541, 165168949, 1012773371, 759787146, 489685229, 1059980414, 635795208, 916205850, 966742502, 1062193836, 93128514, 733401276, 100772610, 590326008, 1015045963, 1019491201, 417122269, 545738060, 698310293, 1046059234, 948291495, 53327444, 379754418, 272376481, 568448077, 512080311, 365504122, 996067649, 734550529, 603483627, 1026965772, 962006612, 998023336, 1057776114, 474891748, 259352787, 406911878, 885267647, 986699923, 935461130, 968431214, 749449766, 616379099, 13941018, 706063606, 476394565, 126317481, 728431492, 915903593, 186567413, 185711720, 543578308, 898602753, 1066332948, 745272825, 81091051, 766729963, 906067376, 280917383, 660771063, 920560104, 494751836, 529057841, 582713331, 532693771, 272946366, 862743560, 784395718, 69063920, 645344016, 339899845, 648931455, 567689925, 241508490, 258453180, 1056769355, 301853757, 658447706, 497585948, 345358410, 958101411, 1006806519, 838231154, 448951928, 1039760883, 355495399, 993436958, 74984255, 1049753571, 578124121, 83043910, 447536832, 988589480, 233637175, 610883587, 607583918, 705614776, 358009966, 333463258, 459196073, 831702016, 1037799652, 124603172, 931496727, 949060147, 730079385, 510065957, 943926447, 729134480, 42831437, 66731574, 648638898, 851152947, 300893058, 676769346, 1044429929, 569465205, 433582937, 897953393, 957405613, 373671727, 408723206, 959064098, 637796990, 665821736, 832121083, 308400524, 738570345, 543309533, 223446645, 779221513, 324298010, 473152718, 528513112, 922512895, 9123280, 696296628, 547582973, 19327910, 689035256, 774053693, 49347263, 378124021, 949170579, 671210239, 929885019, 1028496190, 1020690695, 1015301808, 890465767, 864759691, 707600723, 792307324, 721471759, 915933394, 357508586, 595535723, 467312713, 167211393, 752681157, 150390085, 956488254, 1035953867, 27679779, 159902437, 198736341, 642250097, 454196652, 1005283141, 969826559, 368406066, 332674785, 869984828, 427950680, 439509775, 865973229, 222689448, 604175775, 531824549, 438356072, 866937774, 562773099, 942707793, 932805353, 819200310, 122648320, 740780242, 551933863, 90821520, 761825568, 678242498, 868465203, 653952759, 473300576, 816640491, 263704763, 280666068, 344753385, 839970314, 144781088, 162149527, 306885986, 735836727, 440029030, 417864766, 550241021, 53391565, 536363264, 717630704, 357140531, 334904231, 851536238, 456285283, 179154393, 970985753, 807579821, 510033117, 1058338832, 711136492, 67812732, 609009927, 929912313, 830992297, 318941318, 184829997, 331133291, 1019059644, 611441049, 168354959, 831558525, 243328403, 990962948, 447780118, 118831323, 69399922, 494368907, 545435189, 417955745, 498991017, 329124562, 780572772, 1067587309, 657358511, 1028831393, 403075930, 516287033, 482750832, 280518908, 514285460, 993692066, 864888415, 752177559, 806861303, 411167809, 892881206, 42316469, 167504008, 473917559, 617655699, 987711501, 1013029234, 707024133, 166436831, 1054640391, 532426870, 1050008522, 238650065, 360627531, 1059241140, 603265820, 995267168, 638822438, 276732183, 813895489, 580983741, 103101145, 853097485, 128437888, 631241661, 88294010, 707875142, 952714507, 877779496, 106237284, 62007429, 666544040, 965001793, 359938484, 180730494, 943965241, 847744058, 829312627, 301639506, 296817996, 590856799, 207875533, 550387219, 966562734, 934628966, 34051470, 50317341, 324172024, 318981031, 566210986, 409666536, 540917911, 703204529, 369865443, 150519437, 797225819, 926657287, 907770105, 44779178, 97365393, 8866837, 840528302, 293133368, 733024937, 1020819454, 1034405904, 448283889, 447682059, 125377204, 800901686, 885145658, 838125615, 118579351, 700755259, 496682164, 580453, 791577718, 646090498, 218534277, 163034904, 720718380, 88052465, 711132009, 462208276, 84055376, 368148476, 998885833, 285344644, 903824975, 139587562, 1048523751, 35490116, 116727296, 400175811, 881918234, 891626536, 85111389, 181245370, 1047555258, 23295636, 48392610, 821496295, 752717923, 818932136, 371313784, 23334918, 45767376, 1003147218, 426756205, 487746193, 49001891, 545903264, 68926696, 497937594, 502884461, 564668914, 226605103, 327995261, 492421816, 334717991, 495264503, 910832848, 27052034, 353924316, 60709436, 736246472, 971301493, 394614071, 1047435894, 769635944, 675635894, 984164202, 57450402, 660887269, 722508952, 769309860, 84016111, 943236028, 727951598, 890033883, 100862652, 52590896, 120074578, 795775220, 932313389, 618004604, 915146891, 393788276, 699920613, 280090332, 1050568033, 89888142, 971408955, 498499122, 871354602, 1057659758, 440142743, 306280236, 128757890, 772103342, 693134148, 236811944, 1059587246, 1006537082, 778238712, 831040654, 835806742, 653107049, 214783052, 1000216606, 759984814, 156175291, 1022358276, 649442928, 753844984, 463822547, 169079072, 132623531, 558743809, 618413773, 646253470, 44274982, 555213605, 154359763, 919395237, 490828982, 154442509, 995162576, 701007745, 590503664, 682780928, 484167646, 945265330, 801828347, 237870279, 80808334, 602447741, 483733319, 384650944, 252729224, 719812155, 624438015, 148357534, 321042950, 656823907, 608697343, 623354708, 939748406, 646990503, 339407470, 981363112, 59659617, 906908310, 422366934, 150735545, 388255622, 205017706, 908505867, 359804032, 1010696569, 444314172, 407720229, 286802912, 973359390, 977827341, 429967819, 884694623, 550391643, 1061307880, 506811989, 313593637, 83692914, 689672600, 926802776, 67505236, 54544099, 916277610, 857378804, 415867168, 859779331, 779964326, 1025801677, 197736818, 457968239, 1017655775, 969052038, 353832378, 607479423, 689524216, 185317237, 155002823, 958892827, 622022429, 101389451, 913607216, 874005348, 270689661, 308793110, 834140087, 280006305, 610598953, 906155090, 391465266, 240351461, 473362567, 352948842, 704040621, 886468976, 160974493, 684905483, 171012898, 894229981, 383290402, 508995654, 992202572, 851319041, 586642994, 17892956, 188073186, 273574263, 846302357, 768933216, 116996359, 48274002, 700468137, 318732715, 640235391, 116406541, 327990168, 780237359, 429416489, 997571651, 564477932, 809887285, 727100932, 929741230, 930463249, 552467655, 563312366, 733149386, 825718703, 1047394767, 982071971, 913505875, 553930515, 1065638069, 923900641, 208452867, 1008801213, 107869544, 342852496, 163331575, 679241991, 742248146, 924282370, 894725452, 937135231, 1020215902, 771463516, 900829327, 665585333, 1051225198, 1060923754, 927592203, 837206623, 158482708, 104135071, 20425368, 277688617, 536949432, 270452247, 198837757, 651822490, 629937505, 931990829, 1016630273, 260884771, 1026717054, 692456932, 972787549, 431518162, 148242897, 456635712, 931430731, 386466227, 896150027, 334424266, 119581624, 214570421, 1027027419, 278305913, 441950277, 491078038, 30522592, 637757941, 517295882, 574060517, 788630489, 305460591, 375651698, 438020636, 630094228, 1002866426, 840416958, 341550763, 917994246, 437833988, 829353722, 945231019, 238379315, 395907782, 169216101, 879461392, 113583347, 1032195837, 61849018, 21026418, 358738592, 845346741, 708834600, 508326941, 222108425, 170575353, 646899434, 543012383, 10389995, 811175963, 415289354, 173009755, 365224339, 852810342, 995044964, 15953549, 45570632, 1065437267, 728728154, 131716541, 399218857, 224178318, 1073481421, 968942073, 663623201, 272140050, 263564221, 815030754, 748639524, 981963041, 734334422, 870056177, 940018764, 712565222, 924942980, 174825234, 296206018, 79207801, 714325379, 713174786, 210881637, 221087676, 497599547, 901809120, 186008802, 696604219, 399332526, 221086395, 35367957, 509443416, 270268718, 94957067, 788920636, 782103070, 32149431, 646710011, 844932197, 740761434, 956861, 208798895, 997843979, 914966165, 904168689, 268225042, 638496470, 965813451, 58308784, 798426051, 469152584, 76307838, 385780782, 94048846, 672672776, 656841545, 333008279, 219206330, 453527443, 221494410, 852579887, 981385662, 621243152, 816601176, 700854451, 21375975, 466394035, 682266896, 149084140, 97471876, 83789500, 399457992, 166569640, 920820405, 605657654, 1069443034, 72350902, 972530109, 926347765, 546740081, 395327234, 131570373, 410622801, 429041236, 330751620, 752847142, 580396815, 240075418, 80012282, 585861730, 505278264, 394622023, 524748146, 441945996, 930041497, 975107968, 870148316, 531569373, 397677416, 298304924, 907608350, 263176491, 502081482, 389288878, 732495707, 716086819, 636136245, 90659050, 346279784, 758547774, 256441526, 588802500, 872845371, 198714896, 833008444, 272838114, 263165307, 436835810, 548313776, 487565644, 998853757, 168765585, 711064073, 691382910, 974454251, 660020163, 867564477, 389129126, 495948619, 580953583, 193468957, 634289094, 941397686, 108537339, 300005864, 923117044, 735421281, 819607811, 864477180, 260888499, 897981665, 966910378, 1000444693, 298530745, 143982702, 683148609, 513190452, 383645405, 868305055, 499295011, 214582052, 235480628, 973442838, 133886507, 879820958, 108462832, 839859282, 1007359644, 463655932, 124767267, 867831977, 139281173, 10339352, 309255847, 492332873, 1071718183, 381555195, 407350028, 1036345325, 254998515, 700892656, 421998831, 482810088, 937810108, 44923649, 335649097, 506955556, 594079084, 920192413, 226856813, 133281060, 819155885, 945588933, 769431589, 573062103, 990334495, 543432513, 490285655, 560128621, 776412578, 494561534, 226735316, 44233357, 61535094, 681503064, 136158881, 559540305, 766043467, 716249932, 507028547, 602191904, 970897125, 224958066, 996452712, 1030718813, 1068143470, 766170791, 403475051, 428684741, 582209795, 422812919, 762569927, 509672178, 900764928, 594540592, 140560822, 798391360, 802095053, 993375898, 171429799, 236198109, 754228214, 127438152, 1049684638, 631274876, 144932578, 170903415, 240673277, 866539452, 864959532, 121428759, 933167083, 504673528, 525896654, 527637140, 473649833, 504394655, 160486644, 915665229, 757469568, 558776007, 268812695, 514911288, 67789159, 402638248, 224166068, 234144621, 89831851, 757575936, 36965014, 458139953, 541011036, 682215651, 324707185, 214274598, 479677792, 468594354, 686837205, 476235359, 11661923, 337943600, 485680615, 203498213, 123674538, 956304245, 982004086, 284699148, 224216804, 194459819, 758090691, 463555094, 385608287, 481267359, 228598644, 898981219, 724503634, 290819209, 348793503, 510851154, 499937302, 153066950, 167686948, 828392617, 30832137, 818025884, 814472544, 26574284, 611001777, 975160970, 1997196, 246505295, 957845886, 1008132998, 1025892185, 324338427, 337320652, 92181119, 802599499, 392653906, 536268756, 6170127, 6004133, 1013125424, 877913769, 919883349, 65065564, 461580876, 230962765, 1027819636, 46557282, 760202085, 811581211, 865989198, 1044447963, 805660374, 134210911, 1063836405, 426923342, 470622833, 512824112, 1067313440, 882929228, 822456832, 216122935, 32185009, 1053378715, 571454731, 1031241731, 46982234, 96493249, 339999968, 523571540, 709645119, 357115344, 1029878552, 559221361, 1009132764, 944934526, 992176895, 323605364, 949483343, 10135735, 507407149, 584880394, 682416633, 713464355, 1021538202, 523486318, 844047545, 761534611, 924323778, 674204894, 924337060, 1053421095, 803785714, 60580197, 1013214582, 923726500, 151483505, 436165609, 202874387, 441948837, 861292905, 140871311, 963672836, 60559907, 690825606, 28778477, 478291643, 442446491, 977013060, 724633413, 566366410, 732941465, 848411347, 661029581, 567870917, 675564762, 624667334, 1007947755, 453154584, 278670772, 574900523, 305684983, 448578636, 501095222, 234022375, 623450935, 57459334, 1061979716, 699582414, 78587394, 787635756, 800155998, 163431183, 340422910, 611369634, 381875673, 118405140, 901454815, 220532469, 1057074625, 288532076, 525223482, 650804422, 903766407, 688372758, 739862616, 942555581, 29113050, 526395473, 343613027, 676359599, 846022169, 8831365, 353721137, 54043550, 703243774, 246710929, 559757407, 12072252, 501251122, 1032904214, 1064719057, 883005423, 463982708, 860910487, 283590344, 823518126, 113326012, 492828276, 792595328, 563169753, 1043663170, 1031765563, 359183865, 273684636, 1019716676, 846371216, 40748905, 806976629, 942450775, 762626537, 962134960, 948587307, 529573130, 158218935, 102850010, 65426392, 551582503, 855035696, 1064586223, 750703174, 721190530, 143904176, 1000148991, 1019657803, 558783138, 117546093, 672009298, 462097299, 419061809, 385011395, 178488722, 943345068, 249834995, 685612039, 775674535, 6733903, 168389099, 895340812, 1066301111, 625463053, 460226434, 551020350, 34904124, 257803787, 296097064, 931649406, 678876338, 256931448, 207716159, 271590695, 1016190644, 129220035, 835153520, 336786625, 138687849, 157399106, 583092398, 47954991, 178368777, 1052594284, 385282651, 461386074, 62938385, 154940428, 456473136, 53535455, 66619209, 809182850, 397086570, 586681341, 360351713, 715654610, 774733123, 221920006, 1044534095, 953924804, 999414837, 130730963, 609045222, 299926611, 439366018, 616818697, 633919122, 478603425, 489200559, 776908665, 1062274464, 941171479, 978907616, 135237969, 352548900, 433892128, 365072302, 655429126, 130740492, 69887235, 309667852, 670409464, 312992265, 394694124, 167656568, 551304489, 896184990, 719037826, 409775850, 868383202, 471744610, 375286157, 51418991, 1045711690, 63966247, 924924201, 843851669, 578489414, 851125933, 683067517, 123482511, 64017661, 172106888, 159205073, 797804650, 1029214617, 323235493, 106131147, 570392199, 271543959, 365696474, 554246406, 712651496, 293038436, 677416389, 194314615, 27577846, 471427757, 997251430, 194846316, 858948732, 96058925, 6693716, 840348983, 184085926, 102045072, 338665818, 818216651, 243556522, 644904578, 869234422, 946515966, 426970060, 624880197, 656633992, 247094661, 211229571, 76097176, 269509513, 117819299, 505576510, 478563773, 190361431, 705315250, 1043216456, 461063326, 181576415, 537103360, 517204880, 971718708, 1035253293, 343415801, 74186073, 536445156, 953679480, 202711358, 555484407, 372221500, 596550324, 706973137, 500866944, 122051498, 349404150, 543234654, 272893311, 319293714, 64892823, 423130548, 722266823, 324911214, 781381069, 294320709, 630049175, 906425959, 889167237, 394945516, 990035539, 1054226457, 310603517, 764670637, 966798027, 754495317, 313099231, 25405845, 639827967, 395830947, 983231855, 651978394, 239628773, 684455615, 907537907, 513958558, 171781111, 351549840, 40412202, 720718901, 1048439926, 706318969, 434817242, 633891068, 761243115, 1030764936, 663783416, 952050362, 466121970, 158413498, 1043186479, 805968782, 380438589, 994064570, 233124674, 661053693, 922577287, 896271039, 865988730, 781184960, 111547780, 438726446, 491008403, 348289358, 610578509, 773689293, 790674222, 73110460, 54825046, 898282317, 115517333, 470468772, 76565695, 969282818, 195260378, 655634330, 694602910, 749120941, 139002549, 419645693, 803349019, 797903313, 148486578, 59532788, 325461946, 442717884, 736698865, 83295224, 353435743, 545688353, 633153478, 767343136, 51315176, 438235309, 1068427217, 814302764, 104758153, 318747779, 417876069, 143359151, 133849628, 1052012576, 1060671630, 830903132, 675951832, 1021470162, 551104028, 748335343, 228441533, 137663886, 1007342745, 68616965, 845728585, 66174446, 981163529, 918603652, 866635734, 164017321, 1043479959, 960584146, 723186871, 82774632, 406983990, 25022203, 71787015, 599192618, 337592544, 627957239, 243887941, 920579881, 555717276, 714692730, 907679268, 292661128, 1053342861, 108019688, 335905446, 860931862, 1025819260, 559811082, 94682212, 749345343, 99162272, 911761421, 920657865, 362692829, 217568418, 487021030, 533030148, 543277154, 213016400, 825380575, 846710567, 666988166, 974287841, 506925131, 129863638, 348744014, 706333048, 717178409, 368685844, 223714931, 336798731, 722010829, 77417933, 500674701, 472739807, 92180946, 333399298, 447720480, 548155859, 570847303, 345551339, 272494653, 706121841, 300511679, 479144579, 929651572, 928712879, 585709358, 663893503, 175101092, 434706855, 996905937, 309287698, 277988867, 781954567, 900500090, 545668459, 239811497, 446007591, 103848109, 571081347, 1033020555, 1052479822, 903098418, 693833746, 526331466, 284548660, 898979869, 104697585, 184087842, 855366630, 448516059, 83283898, 267751089, 319906931, 466419970, 924297871, 377026397, 257140582, 514789737, 89901028, 348745679, 598328884, 682265463, 500016365, 661938595, 967584922, 1001274065, 688889407, 162270939, 121873367, 391299982, 879422023, 156380318, 665886557, 702099469, 636513573, 301391159, 1020850938, 168165798, 541434123, 156967786, 178313666, 258824053, 338908585, 960471503, 919082242, 73572870, 348269087, 115475204, 1023707991, 120554815, 517163422, 494180992, 885370582, 394708139, 159731956, 628814181, 799524720, 630960104, 447083537, 279914055, 98330644, 508106670, 278392263, 551724311, 1030587034, 244605265, 1060898824, 960299257, 450871000, 753072055, 1023037155, 300469370, 410652620, 108784566, 750386794, 296937961, 766029418, 631872159, 696289350, 1049517727, 207612974, 294710247, 526818795, 226848187, 228849806, 467308227, 262662091, 639990505, 1050991546, 876821316, 327917949, 511956912, 255377796, 142871378, 837210337, 494382339, 826584438, 140150292, 850602247, 399280120, 723861714, 926662927, 457515227, 5837883, 484228376, 938428348, 830312650, 336176653, 760381332, 635826204, 714895646, 227606239, 745123376, 687890253, 1028259348, 257969061, 665635865, 930611352, 41246917, 450164382, 675257087, 906195887, 35632334, 243079927, 553610141, 760988642, 843510528, 185316516, 13239903, 563576465, 867281405, 185255061, 353383168, 1426602, 23289077, 359989920, 123445143, 22964912, 204897438, 537927813, 128470463, 547594260, 609571334, 557154345, 115268077, 568078866, 203188725, 128971002, 1018936794, 236310739, 774476449, 832624695, 436616565, 617204574, 514465929, 45941753, 388189108, 420539694, 914328956, 816971438, 594527695, 100784340, 705229917, 457432265, 658236442, 506553736, 679088854, 349873759, 752125762, 653696307, 295520874, 110981298, 687066438, 931446826, 94244005, 229769592, 615053533, 394130371, 274441855, 314735644, 462418597, 783521293, 121094397, 357536665, 577502313, 424606383, 591033065, 175527833, 455865579, 574889919, 834431008, 997567498, 372279464, 1051850131, 128521007, 715977480, 120154250, 39978814, 268690672, 517737734, 277423800, 253467173, 90128141, 1047693510, 493133444, 653365401, 183622545, 970054610, 211865087, 622850791, 794827654, 251896683, 338618631, 746021399, 580290995, 298902903, 556322264, 323657097, 773906444, 113746321, 982583176, 1014282099, 486572002, 561511822, 549345677, 167394040, 99525697, 1030748097, 462404090, 1061000133, 629244235, 600147881, 921585912, 43658970, 236984956, 1022183051, 195066087, 582368524, 361516805, 461253359, 206798112, 115872176, 932797826, 924923084, 56687942, 66276640, 999401858, 1034052861, 544190306, 377872516, 38922997, 508234703, 201665194, 114938179, 1070723697, 72917543, 874326807, 611846713, 347863986, 679636276, 618269810, 522515099, 277686198, 258982930, 472288282, 88434491, 774562778, 168462919, 455265218, 990956370, 565691978, 1038537797, 96164467, 251351237, 223591776, 974577651, 173422974, 783488275, 461447398, 1057380275, 892072645, 573867813, 696437103, 952727859, 304194286, 480092073, 341553924, 364302390, 577495569, 1046224453, 433747058, 34241144, 732239054, 979990566, 921100196, 856897641, 819803037, 712963245, 98143699, 219050555, 818013504, 274465450, 917234210, 711491292, 684694711, 847176152, 537103570, 778477728, 1059839611, 408485870, 241271679, 1003743174, 1018209493, 620415613, 216702825, 120196152, 190752426, 413446391, 101458839, 158288763, 596882140, 116011957, 383771705, 1006428709, 720078147, 861656426, 345060706, 1003078088, 686027774, 123495148, 816391215, 237081932, 461581443, 895039798, 542930061, 784400242, 598379553, 346483089, 988201418, 461319833, 862830475, 171496119, 1016540542, 101067542, 865909618, 73525936, 685601648, 580808256, 50799891, 1004098884, 202345879, 663271888, 402871730, 714303264, 581584563, 459333690, 47987605, 145190320, 701477330, 68235831, 643462709, 1034314088, 897322771, 127046732, 1019543938, 996958021, 355681107, 137761180, 589902287, 1038651772, 125388815, 570930930, 263957730, 990792049, 355966608, 454582862, 349545827, 773544537, 235751489, 101291977, 93698403, 750125044, 437050147, 658932863, 107504107, 855171868, 736237572, 377884848, 520385782, 859654065, 476163630, 650860389, 962822623, 387747365, 760482246, 454385298, 583675296, 777949440, 769414526, 1022939728, 879842102, 58209479, 70206636, 154540923, 864045167, 420768599, 272359149, 904328632, 25302931, 235524919, 773155862, 8278442, 761978227, 682305561, 537010552, 901526368, 833638902, 628430774, 40930079, 360966615, 840639730, 647140631, 57784720, 236162473, 276474568, 754806762, 552336319, 775480630, 494683056, 496628810, 908518534, 25670183, 7475543, 683457980, 247920275, 348914647, 111649281, 452155635, 816218352, 819635895, 284737422, 582083035, 423372769, 827357076, 608392140, 940656537, 17833835, 705585683, 935652788, 1039655960, 218174311, 301091411, 1030601384, 566635803, 425775737, 980527477, 476320051, 784769302, 556295325, 404422282, 776906827, 729505229, 950655597, 856360729, 573361613, 836410482, 1043558595, 159262781, 876614235, 344853972, 203160156, 635069137, 1043232724, 201116156, 1004280003, 950892320, 1015782141, 833149866, 169420338, 674345858, 205329149, 375817647, 364771982, 877177741, 504281523, 181815607, 387041538, 42717624, 133894588, 221768972, 310804673, 585795115, 714155857, 658313397, 223842064, 118791217, 1054323041, 675981855, 762628405, 578400277, 638800740, 783920175, 591620377, 393262748, 429017269, 305908529, 855671375, 144943733, 36559160, 608374358, 329179355, 662242160, 620104641, 376467099, 73771523, 465301876, 66963786, 589696275, 823491228, 59331000, 212281485, 971628964, 907329660, 813770376, 275939163, 898801754, 140366616, 374902920, 553189375, 235270466, 957691495, 294972971, 376658555, 990244899, 640925119, 224784784, 911697772, 200070688, 1069057073, 670168483, 826480593, 558022925, 93402968, 859953247, 148683728, 901533852, 107664138, 595294485, 495768712, 929612692, 241959270, 905828744, 403430337, 547243026, 685325577, 816120437, 283750689, 886198610, 856294560, 320232355, 45157259, 929157573, 748490592, 590018216, 731361279, 738060192, 232813496, 77479188, 688552254, 1051734626, 621630063, 202872310, 851513805, 239946206, 72397855, 1053988085, 807873097, 601869677, 957658387, 789916412, 449024447, 576365417, 1027091423, 504323272, 1043054827, 510751243, 562051449, 862963536, 681529260, 352160610, 1017714273, 1001641443, 362308837, 810768797, 581222289, 639677685, 179468449, 600897300, 657675591, 198822502, 83392871, 654293839, 43416221, 723975801, 1002300151, 315485694, 627967373, 640197020, 590102591, 95517928, 848348097, 249925540, 337740314, 14971471, 604354355, 1035072129, 641441400, 827927668, 374941175, 1039415092, 629141269, 255071865, 978715443, 212526852, 224003026, 697418704, 188187187, 348504624, 940070063, 1052557643, 3189182, 810586203, 87339603, 842481790, 779528301, 1011455270, 714964936, 756548729, 1010457598, 480473256, 50702119, 722134893, 684559458, 172045374, 616284445, 628705766, 827177185, 161874389, 212106243, 995602389, 941989552, 266029058, 435998898, 221222365, 836570517, 469689008, 312253889, 772670711, 302184776, 752385909, 143521964, 131381541, 482887663, 367984517, 831968665, 854984220, 976388541, 328992369, 15966267, 688851541, 216049880, 1063826258, 984470017, 719591375, 479489588, 818283362, 787353460, 133562069, 46308448, 1020325503, 354723561, 905315056, 756222694, 840951689, 631702495, 721283956, 687172217, 237609209, 148410851, 217314705, 844065832, 753662168, 473504003, 205877393, 734864976, 510211466, 616185997, 707056762, 699310764, 1035869234, 1048097751, 912655625, 900111026, 563128415, 485190865, 742491468, 317731191, 365529632, 169372968, 706216944, 222062531, 762357318, 330675151, 517327004, 808165203, 875872255, 75104481, 228219207, 445810660, 607418224, 354312762, 540959809, 869152327, 722324521, 948370487, 1053117781, 874819097, 485312288, 995313108, 84850004, 831032344, 334962214, 443383763, 463865433, 768270008, 901606509, 797494978, 414858176, 891346551, 172256255, 954798837, 911062386, 362313417, 355801013, 729522887, 513971576, 966271255, 960801527, 487108862, 633111828, 651788723, 582276935, 404041743, 1006617027, 1065018882, 896814927, 335835719, 371093056, 46491985, 602452404, 486501009, 86960841, 434636551, 955345678, 570619643, 194733819, 314638572, 174978893, 383360405, 781930213, 622321993, 739540147, 170946953, 647285205, 272020509, 899679431, 270429109, 837236855, 540641598, 699779435, 145773061, 232094452, 90196897, 961787932, 690350117, 914400521, 394820583, 595773827, 514198479, 677374798, 753578784, 307492825, 61731233, 304251668, 1003736252, 212586285, 806567824, 696404742, 185077695, 336476052, 389248089, 298468674, 839449092, 1000703242, 973012605, 995396761, 1024038204, 895358385, 480924073, 424754286, 669077162, 925883340, 907729994, 264028974, 723885600, 1047900522, 233668356, 932103686, 809370025, 423218270, 1040774311, 741456429, 152690494, 710400785, 1050379982, 39306614, 631347377, 1049195239, 1038913680, 683564226, 572375987, 216994852, 232231999, 600450223, 719501240, 908078401, 745174032, 472657243, 183980472, 555673763, 474883582, 1004517943, 778002383, 889277018, 237437828, 183432737, 876151899, 618920621, 525501392, 567881894, 170439799, 645086030, 685880157, 425858354, 654517454, 337333934, 479417191, 290337, 926021559, 139257993, 610622294, 327309261, 953764701, 20898925, 984243659, 686257462, 481306521, 365910251, 357143019, 468299371, 255622079, 271380438, 359692599, 372801789, 613695773, 673213851, 605101098, 878915839, 275151503, 1270107, 106072533, 1008238461, 355973722, 124113447, 625908377, 1005755526, 741781853, 538434735, 614810734, 569089108, 670951241, 931482777, 861386651, 961139280, 244946163, 370373436, 724223858, 873817546, 844330669, 407532825, 461741086, 603436224, 13456130, 497224172, 150809758, 791030415, 818352039, 830506705, 378418188, 799429969, 746680901, 872255345, 913757481, 433702451, 492395973, 871919622, 1000077895, 436024417, 584209781, 738818336, 400421372, 401880138, 872913875, 893927323, 847293524, 383124354, 409032695, 1031015801, 401402159, 336922967, 1069186327, 301729844, 411177673, 177810221, 872591660, 576692268, 888434707, 426717447, 325523966, 1014950359, 626859405, 788559267, 262677514, 613233878, 912583858, 317919115, 850161618, 798440405, 794138423, 410665153, 830455517, 795957252, 933637445, 790929542, 510978339, 336150161, 963708375, 594122274, 886759406, 915563272, 107805782, 972374144, 249032763, 472708511, 484694200, 462108364, 649640516, 130202898, 484106960, 68674613, 231279113, 303261665, 93421184, 83858230, 707134415, 164149547, 338500947, 413777153, 417101829, 806176589, 696538505, 64990784, 321327479, 617804856, 525662794, 367904752, 479317400, 227238977, 109154142, 163471371, 1006989071, 1016365249, 741554342, 278125275, 845069918, 81612885, 855418454, 884960548, 395914534, 410413176, 252212047, 207641998, 47245246, 100441693, 735034239, 1058278076, 978094766, 1002804111, 772795627, 254322909, 210921543, 268557438, 832070634, 62164306, 660508574, 775351594, 649774735, 821603528, 408079726, 557567021, 403830607, 557076050, 521402419, 683637790, 787351322, 508574636, 959113841, 200826571, 915359223, 372706109, 458945436, 559865542, 336856675, 941776428, 674044952, 903456285, 449437284, 1016319336, 602671678, 859332293, 751328350, 1038696909, 660485232, 381584015, 174790293, 708781331, 886289952, 301786481, 901600017, 392212693, 469517542, 185929817, 773484533, 1002977488, 950866730, 965593448, 925255446, 251446250, 886254807, 484735813, 382932523, 453232660, 1058425823, 607618908, 625882380, 211081975, 1056617023, 389709044, 947435964, 739278220, 654984191, 190310563, 466703694, 618643048, 608822432, 657596490, 276453564, 348723183, 703933248, 809608670, 512330997, 697419498, 654959070, 84269624, 652633125, 902072106, 694718826, 597071785, 368070317, 283839353, 144479444, 333922930, 960437216, 770850258, 994388291, 874879893, 1024329380, 763718243, 1064392393, 3095107, 119943470, 438468416, 150423828, 988568105, 438247398, 556749682, 894972322, 77205170, 604204211, 858573861, 870774261, 995994144, 764609696, 945582292, 1011906922, 868698355, 526530843, 680420580, 152785143, 862243799, 1005373178, 306728785, 382326697, 227489008, 567854283, 351518094, 969717403, 430208643, 998877682, 673203645, 208032736, 954035272, 131718334, 171980567, 636752374, 693653942, 222184812, 216954483, 75996744, 1016184830, 991525285, 84040039, 199854268, 595602608, 583750004, 722794344, 700489629, 493466626, 849220721, 503530615, 332188028, 1013013779, 878860945, 16186360, 810586488, 887561554, 280899537, 1024358444, 478678403, 131604633, 321066523, 793860163, 210783467, 199336718, 30604825, 887374896, 864067621, 671795167, 76672589, 685894809, 989227174, 743439629, 156218651, 1040863732, 1000628138, 503204428, 974824730, 27174881, 921591464, 287198146, 818506386, 842607826, 168340299, 112601004, 714368961, 4062910, 234854889, 515729598, 185223506, 599872320, 384584500, 806530641, 882641513, 591353747, 472421848, 1024564447, 106992428, 115644982, 855221797, 280150324, 244908801, 386094736, 93077541, 970236757, 466038349, 369770622, 1032525621, 1002974911, 479022862, 25551527, 262381609, 808346475, 605631489, 1006101957, 694374221, 567386226, 584249119, 270820791, 710490022, 1045270760, 640951817, 67539879, 840194606, 838132585, 502290831, 486783843, 129953444, 960361680, 518036375, 947050598, 105981072, 703267553, 1055588576, 388722403, 78199659, 411564509, 574315580, 159373069, 701961234, 167332331, 219574880, 933390410, 785148532, 321731081, 389206430, 944784608, 349889329, 844727714, 524835079, 715629223, 464641463, 569557648, 519871781, 321299276, 918569216, 989279916, 628027756, 923206517, 18748208, 484774446, 947576855, 754324331, 288770648, 53374977, 672975981, 915396276, 416446803, 899991571, 780273267, 956095495, 247896746, 276678993, 274760102, 322900086, 403701291, 737331915, 300883944, 265255959, 131807419, 1067149032, 416831157, 1046048095, 356902619, 870464328, 815745392, 173126464, 642758441, 12874857, 948118724, 335767497, 470575745, 394620405, 483952267, 251983002, 676691207, 935980175, 649620866, 221440246, 519584247, 335980701, 30902609, 529565849, 28160027, 639876472, 84987609, 311672492, 76290990, 886770198, 147133720, 625955820, 486342948, 27904032, 66274428, 902070039, 78892018, 1006813156, 970215079, 927136073, 195790523, 559125335, 869609561, 247387536, 1028148996, 623291571, 934973991, 962041568, 903907886, 566728465, 839265988, 787310621, 54068255, 121045030, 19218016, 471607881, 448717805, 709090311, 430142527, 648733226, 1055653504, 1010510437, 591497185, 765069268, 199835214, 523702403, 267680421, 625084149, 770806404, 410481485, 16456525, 976405817, 253467793, 550702098, 290641246, 592239103, 557052563, 372804973, 816981344, 593583529, 1043531611, 649391851, 589940458, 279414351, 379434895, 856467098, 340656864, 858448093, 1010075071, 133992058, 440051668, 201756904, 262236863, 545587450, 61397162, 850474794, 111971893, 754024085, 948005630, 659412676, 49984583, 59214914, 264082472, 12260626, 879293712, 210887802, 963371981, 641936312, 420388718, 1019657324, 621680985, 891693554, 615806884, 817886946, 179387764, 359806101, 521702399, 246846770, 447058399, 569412201, 1045929809, 885793953, 738516756, 218276489, 696244262, 663712025, 319371827, 587347832, 702697146, 13128550, 620722725, 311343778, 79719120, 460656878, 97568296, 682682760, 37115837, 202141837, 843494603, 826384924, 378409125, 756270918, 854726814, 186633673, 144043257, 493533277, 322310975, 913999358, 780469427, 43208961, 177269134, 274766951, 13015737, 60247417, 167873970, 136030439, 813011161, 1056293838, 742951736, 138924884, 157358086, 438882622, 742249939, 556653670, 292947259, 661892514, 507783124, 1028951781, 630518940, 921390915, 325068582, 823688032, 88844599, 295410853, 689154313, 756276454, 790832840, 142260562, 36306444, 522836017, 635763469, 771739028, 166659551, 489337105, 990596318, 42063228, 392154426, 881025381, 812193296, 389129865, 885927583, 362234796, 817964610, 886342544, 158906657, 900269870, 505958831, 465315133, 753668898, 614954201, 358035723, 375222163, 266321707, 944542294, 580203315, 861099062, 732822398, 1039305322, 959820112, 659921430, 309393039, 273009283, 564674378, 1015846990, 652716368, 214195530, 743912585, 444980494, 117388923, 160430772, 685130689, 129529046, 176946638, 98073974, 1010423661, 73977218, 207835732, 637666928, 995706213, 957693648, 434518432, 578221803, 12813478, 674667790, 752994206, 614785379, 731843001, 540577463, 214410207, 43686360, 481865982, 821909713, 954313513, 135046392, 696109246, 321219621, 255300797, 5182445, 462814020, 983527439, 546120869, 443230731, 897930640, 957727464, 66247009, 172883691, 830261481, 793743296, 573536458, 190547948, 363263131, 562458035, 450636627, 2536318, 1038080924, 1023179209, 737667251, 222777631, 1050658804, 436639108, 524057608, 126660932, 494190371, 753132010, 991144299, 347081785, 753589569, 825116338, 959488344, 723542229, 124298200, 823096622, 882108658, 845355056, 640197458, 964533786, 893231690, 235736521, 499157302, 457507163, 536114635, 546466695, 265669255, 129537342, 310427446, 998684853, 773417811, 450665640, 502032194, 309064214, 842461033, 741611464, 770056818, 92433428, 465554956, 200763617, 281313729, 601326165, 886843896, 86215244, 14904328, 434090807, 133575549, 445266587, 831005978, 551167023, 1055837661, 803411397, 684239963, 459431782, 574029144, 782270702, 482604669, 393533030, 522103380, 101006830, 823969041, 357171534, 739361827, 876751239, 604708536, 800656471, 797280109, 96172872, 481462668, 89979294, 947481415, 901067617, 35441653, 223070912, 705017627, 766314218, 527294535, 624853977, 871749336, 501716335, 1036724038, 628686387, 81134405, 564813802, 498867795, 42712690, 1070481155, 769747371, 869432094, 50750004, 657977845, 42858716, 173145383, 593497858, 39614985, 217754310, 340610025, 337751587, 1034739685, 232816821, 861237116, 887318354, 997833418, 126107754, 145573885, 477624788, 904633922, 847334921, 821061947, 753760834, 913376907, 814063655, 141818132, 381552117, 1011498339, 240393600, 62616545, 693883751, 734149565, 512994499, 932395814, 230216268, 79072458, 327432258, 718342295, 463870158, 7675912, 420302867, 797559547, 1034934863, 847589445, 610206197, 479448622, 160205580, 870561984, 838302372, 430921795, 1065004463, 147488505, 990547628, 968458320, 933254721, 386420259, 243559993, 47210242, 674149252, 500177438, 771389824, 711354601, 994179840, 259806186, 377216697, 865560965, 64907684, 267366779, 485712360, 981762491, 719225717, 482717809, 1048655780, 364538988, 992823667, 33749710, 763211594, 1047383128, 295206314, 269368313, 1036376040, 176381473, 326443353, 94558632, 292987723, 265659556, 231754807, 409202854, 528292888, 772429613, 54191008, 655439094, 324442972, 703224066, 679567004, 990018345, 433696043, 397856584, 505145732, 466855135, 859242538, 682753555, 104886002, 1053653414, 692918112, 258167100, 420774753, 288615986, 602401577, 819343754, 535458793, 731814877, 143491230, 688885098, 788139828, 593575452, 701378189, 505945227, 419915176, 358810495, 332819584, 352242821, 734084733, 354344648, 288178014, 862680407, 919669023, 179828895, 242230339, 465326024, 73376398, 866997562, 326882896, 829709575, 469386244, 589743520, 385491608, 367402538, 705028383, 849513943, 546901735, 989517725, 609418265, 664029352, 138911736, 502392874, 212814399, 164977912, 531757265, 615998278, 228646703, 1024420735, 391431434, 1071069503, 157823281, 193368517, 667459153, 30939589, 365021499, 356255849, 604514142, 732208984, 644297856, 369637997, 591720219, 468045995, 848949359, 756737913, 572568310, 760167248, 145599498, 1034980814, 711361916, 709439285, 347671671, 737977438, 697959979, 192420444, 217632425, 480262955, 920048915, 492089448, 284230091, 259901969, 977693748, 980764714, 710732433, 8497241, 967977592, 859239486, 179581293, 660466425, 319208699, 858357288, 244460762, 509452097, 770105815, 133861319, 433606232, 66317183, 232555132, 675797188, 339488374, 342680012, 274339172, 471766001, 1029341876, 251449976, 734933430, 292002878, 1042915839, 588918149, 561675753, 387656967, 1005284358, 376921232, 109107650, 916360817, 564391070, 872527747, 809475034, 572744403, 137356519, 1036594047, 23399150, 883803005, 173432418, 243393337, 714390194, 776086442, 353485078, 597068481, 469201039, 269971033, 366661153, 178512717, 641439525, 450315669, 497623018, 3975536, 57864345, 724644787, 897645868, 894963819, 267538843, 947424549, 1070298450, 227870893, 495903660, 528719495, 202669449, 555314669, 302727405, 897558509, 241235357, 367505632, 233323735, 57436138, 708055151, 1069603799, 666594448, 745182511, 1030488085, 910554868, 984375460, 287656068, 738360543, 831422588, 237121781, 979330861, 454724750, 691134262, 688298533, 631057756, 1037618655, 789356877, 146681980, 630748471, 230537189, 483368028, 685024183, 993247004, 900313745, 549595809, 164143837, 420356915, 638067667, 369250674, 845429594, 916115716, 224800862, 558391781, 665837102, 940828190, 372461551, 1031402991, 669640077, 998556619, 150712052, 150772774, 435033601, 318950978, 261450285, 455646051, 913932065, 242127248, 1020758726, 620404509, 71423478, 274552608, 332706538, 440625173, 1055102303, 527296754, 803910289, 207626189, 787570640, 873975188, 5850459, 667721871, 44746415, 206474876, 657993757, 875499502, 828552598, 962929145, 492114982, 290332849, 817514932, 824012711, 59874039, 831692163, 519441081, 848654012, 562089122, 969160701, 907602426, 794005362, 958882126, 217967050, 946417789, 67061919, 382655122, 754620797, 34462700, 644904048, 982133960, 885283168, 887886362, 699912376, 338943368, 459776722, 370036916, 671614701, 959384029, 1036285649, 350968935, 419164369, 994976749, 662121817, 966983040, 772491708, 67889889, 953944897, 791663073, 864079013, 183690506, 972292911, 940326049, 905779421, 627051128, 679292762, 28433725, 862525393, 828545349, 405556739, 866462085, 77204576, 100455496, 18517399, 101354101, 854238961, 350103147, 423826807, 899797316, 589821070, 917694743, 1043873336, 440827086, 270689908, 788212959, 106963657, 930393480, 162807270, 1003757328, 289626271, 775561587, 832243078, 941307335, 475382543, 678380875, 23534557, 330737357, 680739542, 16117743, 919941182, 914003796, 175549906, 905977120, 314042470, 598299260, 1017029731, 735308022, 763448039, 310983144, 1062201539, 691790869, 743402093, 639487494, 826421688, 4572973, 1010315553, 816226879, 798631152, 263232910, 1047415769, 879622832, 91012236, 166393324, 538313648, 525443086, 670596865, 465509452, 919585379, 709237128, 796527409, 433402212, 73988644, 120454506, 988631864, 316731334, 576513249, 343715250, 271219634, 183163594, 120432460, 590226529, 37161989, 1053417274, 156538816, 757557538, 744135234, 316680155, 380036534, 211804770, 394624182, 196658210, 125822431, 992844817, 909664430, 583075415, 437192665, 76291932, 594343356, 848323430, 445135732, 158500909, 425663988, 417558739, 819691992, 712710297, 917752403, 134410201, 295368416, 426859553, 657764783, 530318683, 469722396, 469232777, 314795627, 816281543, 289502985, 392297622, 619303972, 252738053, 328841657, 1057811310, 826055398, 1046257379, 903091878, 27124252, 739813873, 49217795, 322938250, 342801839, 36442360, 353841571, 913436807, 60989356, 868472340, 68407258, 840065804, 822115302, 837617448, 422862646, 1057359969, 253691943, 785817778, 410226851, 846031215, 395588371, 295967710, 78749735, 383345656, 214371521, 465097679, 958454415, 603756247, 562700605, 1028953506, 921615684, 210637617, 110214603, 800733338, 463188214, 442083827, 470410687, 468122965, 213306648, 685183011, 762889148, 632276576, 716699827, 967918079, 548868902, 998031234, 216378842, 841123389, 664984372, 78544517, 950157676, 566440827, 460521431, 367929203, 983129682, 544841547, 983203203, 949754311, 552685685, 182300841, 69051349, 548904966, 561688959, 363985812, 102228268, 575764852, 884294160, 126060093, 673253469, 134910867, 51017561, 940127472, 462852760, 938807985, 427876424, 1025486170, 467181520, 613052741, 299862722, 379594822, 746042218, 411968863, 993094410, 604824424, 946956275, 539195756, 486887393, 478343977, 795889050, 497419555, 21751552, 562463283, 1045938545, 12284090, 513016767, 531816344, 507713719, 731396861, 817978493, 850337218, 644041115, 135565528, 236612360, 847938193, 867955193, 664829310, 546620184, 1589961, 449153868, 1054006934, 193792923, 435639869, 525741795, 192335550, 675165660, 696109648, 185481046, 660227825, 111276603, 434077386, 807032546, 1006333327, 264095557, 643391674, 27950241, 180768562, 989265893, 647426281, 687891290, 386046762, 587362714, 437521564, 729522391, 1021488437, 454779290, 519179694, 810987645, 244879521, 440781499, 147427214, 917538477, 1067791157, 397432455, 876916149, 395208414, 285474286, 483465169, 789119934, 273325710, 800905763, 890530902, 495267551, 490535354, 24651351, 412411864, 1061711996, 266477074, 400279930, 949647774, 127830582, 1022569882, 418794599, 871288358, 977005138, 905845331, 537368516, 507855530, 285398754, 255774440, 446827112, 963723124, 463782725, 1006358041, 986616524, 20577947, 641246198, 366006973, 773820339, 620827222, 898103487, 943940860, 780978359, 514217265, 312158346, 106771960, 1065516395, 816288078, 870480238, 288898197, 613994255, 1008849651, 1070632478, 669251547, 865326, 139128030, 839609376, 780982978, 411979033, 487360589, 257777654, 333523790, 607317409, 521314235, 935139570, 119593639, 996827562, 751829367, 972988459, 496992618, 862637457, 802111345, 709917972, 138960811, 293903252, 804490603, 768307693, 1570416, 84889530, 631713355, 519331812, 52704401, 183109452, 392075069, 591419097, 744697839, 684937627, 519974122, 279223185, 940826704, 312219079, 251854826, 119349564, 936714930, 955248938, 715741190, 113385585, 647840474, 532876107, 997074401, 286759263, 789889853, 854427135, 717239204, 409664225, 61146509, 998483901, 523526410, 947416920, 148711328, 392234240, 1021538201, 994487386, 204231142, 185514815, 378405873, 48942983, 314013095, 339162299, 1072660472, 620210802, 904285922, 276886415, 440732673, 31989127, 143396102, 855772963, 453195770, 704829419, 768050695, 362601846, 85223767, 941151450, 1071848282, 321095048, 553342021, 97152862, 301493733, 160353016, 818767764, 790081308, 62177011, 568228873, 587571568, 319923880, 117377168, 523933496, 1014433232, 319595540, 322061130, 1054655271, 183901552, 998694874, 895804375, 580541461, 668492748, 1043367618, 411693785, 551416497, 683595608, 895967937, 935883598, 868958985, 227262182, 766182471, 1000690886, 800704213, 827459235, 36961081, 146582015, 191894873, 62842405, 6975313, 80074773, 337122873, 419132835, 185011379, 251301537, 782904719, 819779179, 247612425, 572203003, 655231102, 794490077, 751047002, 602153524, 378908490, 119126973, 441703193, 864357704, 625831849, 871026523, 394858578, 1050850890, 1024738785, 839831976, 951089918, 1006556861, 933314180, 1001403417, 429729048, 214991031, 342332522, 643470506, 142569916, 935579692, 77226577, 782108522, 310828441, 414644446, 373121251, 455445762, 760444194, 35163211, 502364705, 30753948, 277073624, 208922718, 45262434, 620337688, 991507382, 899737949, 541461586, 956024291, 90638879, 95811318, 746832160, 244488250, 167170659, 104864010, 118564877, 912502980, 398502741, 349089773, 389214625, 703797620, 557798681, 93753496, 726591247, 666107580, 97053685, 115067842, 935617500, 679809846, 752815229, 739204164, 210777481, 779965229, 320506146, 579300435, 714497163, 373495718, 766945508, 430450112, 492187502, 6373681, 667339973, 1013116646, 161526573, 132193859, 124689193, 205521544, 368701515, 163534613, 319132241, 475266964, 943842851, 698523735, 366802115, 456456397, 468980577, 473676269, 722836653, 639962769, 80497887, 896391264, 451524885, 478676124, 724677025, 595362590, 867583241, 376262715, 134652937, 455450850, 395976554, 478489749, 543656744, 685635428, 965956689, 652057202, 1007892075, 278485627, 873970783, 233203874, 720829819, 542444209, 58802008, 666616363, 889161549, 581552948, 88415508, 515358668, 729174790, 8596319, 232842982, 132659666, 1039463200, 290720521, 320547972, 950514825, 271017585, 773728394, 627671114, 491172092, 15222286, 983206317, 459210274, 10667212, 251727066, 330276988, 171934702, 986836095, 1005901994, 40381412, 516062019, 392598040, 450355108, 1038085963, 55761814, 251732632, 985933890, 807714893, 128844584, 1004063920, 1048103565, 412546046, 728053036, 908729682, 241747176, 413408639, 817389362, 388598881, 567018152, 1012392440, 474317845, 205309109, 519220452, 980367750, 748145034, 787438869, 876970800, 191307913, 947182846, 233147721, 183314773, 326960866, 488824530, 999784900, 314375925, 729393681, 89393462, 968791791, 294116967, 277302419, 667428385, 1037107454, 1062192843, 203581, 865424134, 389657251, 385317709, 79175266, 506005644, 920799859, 380768579, 317319557, 555098506, 659591089, 190290758, 896348046, 485975938, 543020580, 494925638, 321483952, 696292389, 57546017, 869669649, 696518236, 324194720, 701195443, 567578122, 224005924, 643272724, 768750588, 722645970, 942586548, 375362798, 643915950, 493456632, 668807199, 574321975, 282049137, 92836134, 161777101, 671671318, 49414130, 590486292, 1051934471, 906987552, 1060739200, 107782107, 789955599, 345958253, 191015302, 606217389, 227570050, 622887502, 349368143, 534401662, 107720836, 888022658, 636109671, 957037544, 101018003, 993478114, 354954063, 574308439, 464568785, 721421447, 524139533, 970106120, 449963804, 673838386, 814776189, 431050633, 918730813, 283002109, 833128411, 673653487, 957791600, 845073344, 181011003, 67762632, 254109435, 599098861, 1015110230, 110251401, 867639926, 111576958, 123577940, 94537574, 365019505, 733260311, 178579203, 993300321, 293205600, 50441450, 600856081, 813396478, 305119992, 387391328, 402149834, 490715351, 489191027, 215971223, 888873624, 940686539, 159601780, 942775561, 180001760, 41723322, 599151305, 559045003, 300006360, 415740942, 704983664, 1030042549, 258491434, 876309730, 123059324, 72169071, 146282951, 937060448, 825090234, 793655539, 972624144, 947636387, 258387618, 745006183, 513787128, 807233725, 832867008, 170211819, 246008308, 535588176, 495668774, 38637709, 177955742, 102419581, 785449959, 345313827, 780978972, 400967479, 226381036, 106410208, 542080427, 182553131, 185294884, 672193441, 939582523, 364775887, 629058008, 196227076, 444034074, 652160535, 609462167, 1023979551, 623631382, 408976503, 295368323, 120043789, 1055223739, 793355948, 785642677, 235017028, 376990523, 985174808, 82926738, 698208717, 1025234306, 109356444, 566984390, 933342394, 224410371, 180485915, 25184779, 964556876, 495182621, 629407111, 1051811512, 706908894, 556828829, 448813903, 99698606, 507069336, 410944696, 402394445, 93312528, 284335940, 1040236922, 241379914, 24450294, 29406254, 312477768, 395852380, 833631263, 75662287, 726208095, 683367087, 682954384, 160172893, 834007590, 734693208, 293307665, 95322761, 901498834, 163453744, 582298330, 530059291, 459176444, 426163736, 856973191, 1050458471, 541156831, 944583503, 1033452728, 681065592, 603641979, 287750171, 107812104, 655135930, 174402035, 996038742, 664042485, 272203648, 216683967, 447239646, 312185402, 607479554, 463237014, 699295787, 861044954, 433795524, 345066643, 606764040, 438234547, 594038417, 348394114, 308794168, 290030633, 539662114, 83276232, 161108756, 367312444, 739823862, 288127255, 133999452, 607741419, 31174162, 917068149, 987827980, 352026224, 391231564, 956342230, 798848701, 238530767, 346186796, 469290489, 467728659, 623956919, 929748068, 316620412, 11471389, 934732643, 515030636, 875434712, 616498549, 460067579, 104670942, 110855019, 625149794, 973962284, 979527667, 379682719, 50532284, 730837407, 1024198084, 310290161, 364562169, 61895082, 814266661, 350831132, 320142264, 366119226, 955469474, 135015508, 844919715, 1011444544, 420347919, 1025664578, 949913254, 502107386, 586435820, 662324072, 508335236, 31816297, 282312601, 94737591, 559411846, 896515165, 56611275, 465586954, 360350022, 268886791, 52032364, 683869482, 1005942152, 422381057, 298134732, 699264228, 946527837, 254777000, 926034343, 136022406, 680655198, 1046884166, 647041254, 591089900, 127332401, 36363395, 619535234, 901323942, 132177254, 894120673, 853656874, 44817185, 290220276, 1053306080, 39918521, 1030680690, 156400878, 692732014, 783234745, 114078841, 856654850, 881989548, 682202558, 820558200, 935888980, 715530585, 638999517, 593645505, 465691866, 1000038580, 1051620254, 757291598, 693618149, 927258363, 177199444, 902290792, 982933158, 882008677, 1072798778, 1026223527, 1052556035, 143079839, 288692952, 86396284, 835585741, 656128353, 183647754, 674978672, 55880500, 606288409, 991193409, 99866118, 936390497, 510686121, 280593146, 832248749, 319231191, 732341190, 361286408, 276419779, 894239113, 876811498, 628125083, 170823681, 23902787, 718446839, 266217873, 354725864, 794729820, 948114275, 932258718, 821830271, 295169850, 312024970, 102077834, 82357725, 207584127, 354250977, 590309140, 444116056, 438277986, 542979581, 90271731, 628270008, 602196932, 150611745, 594885738, 79441961, 31588645, 631851281, 586865781, 649633969, 997171811, 446364687, 851659315, 972025591, 644283675, 144685985, 722385598, 367491905, 615116287, 392730821, 494581095, 140013710, 26060862, 743451103, 1039953461, 51497665, 334012251, 788171866, 185633883, 649822774, 717774204, 424750131, 1060440136, 1004147345, 441179959, 569388825, 172374748, 1048202218, 577939625, 463256675, 732756563, 340239556, 374216709, 224416448, 373224418, 468305412, 512020, 53385746, 661615459, 742540160, 546489402, 513408533, 372936371, 298088954, 92345398, 970417125, 164382915, 669411305, 743688703, 326267950, 216711018, 411008789, 905131341, 515326653, 1073199309, 367732697, 187774233, 849545442, 665534318, 136401238, 93274479, 953592983, 474939089, 764565246, 161420275, 5716261, 75375080, 555091814, 333639113, 1012461411, 245223041, 858427369, 995877230, 1051027904, 896079037, 149576216, 613900677, 966425743, 96181608, 539582261, 160307869, 736079082, 701951787, 926652611, 300355725, 159233719, 610466101, 129470028, 262829192, 753764172, 472377215, 509465818, 291344511, 61690949, 873014772, 754754755, 1067572712, 288091729, 669549306, 953590349, 325851078, 486040098, 701681188, 373968010, 455644245, 577273434, 99672206, 696914766, 546467057, 637842857, 790169071, 876788498, 672913986, 587974618, 1070883197, 740769583, 714088603, 1053399589, 96239433, 241893173, 120987958, 403421208, 942952334, 582871922, 530491450, 1015968729, 955232181, 512857714, 729365916, 780838057, 150123054, 922417204, 998914101, 443747146, 371020783, 362631518, 865455577, 860154534, 202394936, 318411373, 971594827, 339441341, 278686595, 781222835, 799366767, 761390083, 608310420, 881556756, 649205017, 218371671, 1014508124, 334496949, 956606453, 718742889, 98462998, 99896228, 164893934, 368483733, 568486897, 152911601, 449343571, 744048698, 408780080, 51936420, 611860915, 378914622, 388471923, 822478127, 9192536, 266164663, 948174796, 395117826, 334150519, 661062750, 683558831, 240695141, 1003544810, 168590540, 342725599, 275557700, 899760085, 586365413, 259497749, 172904880, 932112736, 64524229, 272148707, 910475893, 170496217, 658313418, 438706570, 1062827752, 183504025, 865094407, 896728506, 439204193, 970434789, 7640093, 52147317, 470588271, 1061887354, 198767876, 572462684, 682573913, 431261501, 53516809, 5610294, 124805028, 997201446, 83367149, 4354758, 570494409, 103569625, 133538333, 821655069, 242032038, 11074237, 900667511, 956522625, 894372001, 335867034, 969568867, 1061043230, 363443423, 224813678, 114041389, 660924312, 713842552, 806405643, 21903275, 767326868, 529033847, 503669587, 947589596, 99746286, 488949309, 659354971, 144255470, 768634289, 74169341, 1026888473, 322783907, 1041291270, 560376659, 247897217, 56470192, 224332052, 260951774, 722635469, 488296966, 158162916, 223212404, 741354208, 826062467, 192599797, 312601929, 285173931, 688328611, 67519394, 231410990, 816202966, 798134742, 176979671, 303064201, 13026343, 1049146676, 241068491, 863337796, 400772803, 963995451, 545923810, 754521826, 893744011, 805407097, 305171604, 645861943, 195933953, 129201309, 497751887, 221575547, 73126524, 262621955, 92131345, 619984477, 366939703, 869935238, 854431774, 829478957, 1048249477, 774205554, 746581096, 129861725, 987920435, 614418041, 411398408, 997098968, 83234269, 371828292, 913735849, 939195874, 168226738, 963906442, 771252600, 990447703, 628827050, 416321078, 927474579, 782095064, 90715403, 715805866, 593239655, 618736922, 365743111, 778398918, 790598213, 955285033, 408131437, 299921436, 274539793, 624052785, 99442499, 121638613, 1057740108, 60248193, 13483651, 473414146, 87227653, 289097635, 549489253, 355353125, 713387185, 785216547, 481109733, 399817308, 206442579, 996237607, 174328349, 1003696697, 246817968, 390241636, 347755268, 246370727, 915514027, 659585844, 175960414, 1040075326, 775198940, 306463771, 348755797, 878978927, 959575649, 28952120, 337862505, 220921339, 228307632, 310481717, 829676254, 826207835, 300241152, 509516846, 459320743, 286813757, 406140123, 633154344, 249780339, 896288132, 813103744, 779315850, 180285499, 612017178, 336754111, 983611577, 229081896, 458321705, 226522053, 750722240, 1022020217, 77572746, 789849892, 247747954, 894736055, 611832984, 301367469, 630275331, 815132713, 710751894, 731286411, 35839653, 998933356, 585050770, 926584207, 67723382, 857417025, 602217535, 936752272, 590713822, 951266232, 101459105, 169525468, 252675436, 321880553, 820624838, 152300912, 442217899, 67421800, 324894397, 753291886, 580236047, 107109330, 166838506, 337765511, 478038945, 950210401, 857098004, 891478912, 751078712, 953870186, 133351047, 791965104, 262066093, 891148437, 506621902, 817745419, 527385751, 932357594, 1045183221, 801113775, 344682555, 1007737254, 645522233, 144666030, 715866879, 91010203, 148066600, 515709672, 299881754, 729229361, 1002782681, 691011084, 3776944, 297081427, 229267677, 971363255, 311519315, 50775011, 372768262, 1017824208, 167292135, 729850465, 497294362, 180151313, 500260965, 1019944715, 989714044, 664825703, 229290688, 998095696, 955614741, 757612081, 107265024, 538120675, 517737766, 633408114, 226163928, 613575391, 275536940, 534541479, 947725704, 802018390, 380153135, 987779867, 643302400, 476426976, 221394052, 101214576, 606277668, 920538448, 687851411, 216925926, 278574898, 205815851, 405342029, 638299069, 281375140, 27408644, 198914129, 756616769, 514540443, 961760216, 280253894, 171596857, 552247935, 727870226, 642550503, 425741775, 702804928, 919836634, 40501390, 836263234, 798902257, 643937865, 876929031, 505524044, 251484421, 1012163703, 75827295, 783107484, 671043084, 192669747, 735907121, 337273418, 890302452, 1005052238, 952248901, 164553209, 585925686, 598394430, 97096501, 654722250, 271405519, 71030548, 451248738, 312115214, 959706212, 991072036, 441112459, 497416725, 490583713, 396224612, 624908568, 518717173, 417957517, 319226717, 494745117, 473243797, 69425268, 496900045, 919895268, 270432096, 447570761, 152932400, 1056695734, 458566912, 289513258, 790025054, 999871609, 1019424348, 3366671, 95735649, 180550557, 307905592, 1014163778, 46377070, 559268329, 1005795348, 75749907, 528660310, 617185006, 654595540, 340391475, 667341973, 627227686, 911321781, 282133393, 807911173, 2336233, 417077330, 901026042, 684078090, 181922397, 643872094, 293074536, 12141306, 176742688, 869370857, 119934895, 609497800, 23135974, 604632011, 406273323, 515526549, 500807629, 839629979, 824036799, 911414343, 355097634, 21150916, 616782641, 449685467, 253768373, 60136332, 452331826, 246266313, 958809750, 1033547404, 161327755, 343809551, 453683731, 94093012, 394770249, 1050639496, 121831650, 286302184, 347168282, 556546329, 391181726, 563362340, 843249414, 189700520, 352350983, 769985920, 47945848, 1002948087, 717884555, 978166997, 1026121147, 565038812, 192720621, 531351523, 700063758, 235790526, 494826764, 877169429, 891441890, 82460473, 544460972, 456902438, 186681861, 323779806, 960998693, 726670064, 1053008583, 175779753, 243819521, 766627215, 78116509, 560545786, 468248013, 469969772, 307332933, 145778040, 8844617, 610219099, 145360115, 257553140, 431180807, 493004712, 19010848, 943870409, 548449205, 371355085, 906952902, 481160254, 834094668, 541265259, 545800419, 235222395, 653594507, 925917201, 951830879, 187193134, 737843620, 387419654, 51625841, 605383668, 159822725, 735649341, 786175332, 220903897, 164260088, 938811700, 605859917, 188590864, 678183467, 525321887, 233434401, 814964001, 973809709, 945058750, 66757806, 192769338, 434883748, 1072380403, 727951882, 14857097, 92641963, 127206017, 673205822, 219563032, 358114190, 1027689262, 756700140, 425995946, 1055103229, 425827038, 1034305363, 67027868, 873055064, 513178826, 531245608, 792187438, 1053998611, 77789368, 26313938, 1047054305, 1051641823, 741291145, 1063877242, 313056758, 943315211, 102955627, 925596165, 4312474, 855679517, 711871407, 582145026, 630744777, 82506279, 308572380, 858154298, 837906814, 420374556, 91505456, 75909120, 889138331, 428378204, 900603762, 1004712132, 422982830, 982919777, 887089702, 25647134, 669016343, 292294508, 218006762, 632697932, 206029671, 757648438, 705867790, 89603756, 1051024036, 202642859, 489081541, 523496438, 728748566, 1024953224, 4625128, 651272456, 908831160, 227009987, 988475471, 300885626, 1064146966, 973016328, 203950199, 165686287, 356286955, 895187391, 467313930, 1027351719, 780219408, 890119367, 679799501, 65182663, 870841365, 456447123, 649600428, 500718863, 452787331, 863948081, 885049632, 244495606, 817601589, 848072408, 537562746, 195683860, 809781475, 989255930, 401870029, 289415613, 641000336, 544528377, 889706492, 444441409, 1011498453, 561795375, 354059237, 677784487, 741859470, 867485285, 155010945, 20826848, 956447214, 38595593, 998076573, 758815681, 421512165, 666784583, 464273733, 1045927231, 444777483, 932915702, 1058674604, 255638841, 137530308, 41948812, 353041691, 999995026, 717137798, 813905687, 106726325, 542432285, 214846310, 552852226, 481707004, 358374083, 11632881, 705155583, 126793440, 847939274, 498004864, 631041782, 371825484, 607290025, 640084303, 1007139583, 219651395, 710279981, 17145712, 242959476, 982688056, 109945378, 835724262, 650922442, 954816802, 794995216, 916713987, 180280588, 975912154, 1002732312, 54673755, 728626657, 384328869, 388604358, 1010471270, 353660512, 128172256, 589086311, 922624693, 521384567, 58447388, 677741486, 1062276087, 238105832, 343043315, 520535170, 18435714, 748737657, 638017722, 655063727, 271445466, 68332626, 797012958, 221089567, 848019391, 173881754, 90998229, 293882594, 318772278, 733982812, 150291695, 111677540, 170103251, 125394721, 8543969, 810757910, 580206085, 468685401, 149676686, 327444819, 630252249, 764013412, 890809749, 591750180, 476665160, 640310377, 607021625, 653219693, 909394023, 208228454, 449163385, 109444383, 786323517, 183498601, 109410948, 441197458, 130108663, 912926661, 836383100, 989490154, 303475803, 835286451, 281808811, 161693503, 495110019, 677196897, 435365854, 703742836, 653992009, 153473454, 984175613, 474628307, 73211968, 324726379, 1059104598, 13534967, 154345489, 268565064, 822193915, 504604109, 341065427, 505848621, 854907276, 720403301, 17075802, 643034710, 917651358, 871167538, 955055244, 679001077, 25447263, 932544882, 86238955, 372056514, 469093036, 872400084, 382778901, 498109675, 498164180, 683429767, 731792414, 676521670, 139248096, 309648476, 463401057, 440713767, 119249436, 722728247, 563482357, 296973432, 855961826, 434312735, 248416875, 982922782, 1058494488, 637778501, 395171417, 428119837, 974837885, 1025451105, 841474127, 926150283, 463801734, 1004720433, 122663415, 583301429, 152602963, 35372983, 11013336, 1056332604, 255981753, 584934461, 673186191, 504486049, 476226116, 445543147, 674913962, 195587969, 655856479, 584526384, 807347471, 630098621, 927861117, 757224772, 1031914296, 728571938, 883823089, 897361961, 1009075292, 720975299, 1026725712, 1024726288, 412321278, 297787823, 2395793, 542161897, 529734302, 617640797, 400977179, 298580605, 315440144, 385713959, 895176399, 742913169, 466421189, 919579903, 851503464, 478412162, 981335122, 313203070, 652107600, 573955003, 1036316526, 143542717, 618322107, 593261185, 970224758, 561277390, 23061379, 176071862, 899329018, 763241205, 525420743, 1034429327, 615646028, 74197033, 810066655, 811284727, 232362612, 1027018413, 436801374, 202704845, 838865730, 786318729, 906225476, 251134699, 830663436, 275034176, 50244242, 304725825, 431408632, 811769351, 852130669, 179585459, 541861643, 495170837, 349395747, 552991815, 287334535, 670094511, 395572410, 465442378, 776588941, 872607221, 1015565180, 536727645, 422786717, 175505016, 114960264, 781046781, 890300881, 490263883, 103523111, 199570880, 261290490, 543167327, 860973293, 289779156, 210349177, 305130467, 477670786, 318216809, 874945533, 567675031, 422008370, 137919736, 365799585, 650801040, 683974479, 69992016, 554140742, 603112096, 412982755, 651823188, 817867639, 974974551, 356307450, 360344176, 633548741, 269674258, 94742806, 64819604, 898250669, 993619249, 78010821, 442848726, 791092392, 710166545, 745014566, 450291334, 808720930, 346508561, 849322970, 307606140, 468334781, 11886206, 5970446, 332922542, 728040666, 158140741, 664068066, 5263724, 433471993, 627620612, 376236921, 891195114, 675667282, 952325804, 194611986, 778703133, 162528400, 1049347846, 225292059, 565355658, 15127959, 390093817, 930103552, 1001373480, 190643964, 879487516, 946104512, 163491097, 18468926, 478169249, 867653341, 775996374, 345165614, 352185125, 337146080, 845112622, 356730002, 522274705, 980176311, 911550362, 615063202, 386356504, 499996095, 594913419, 691786266, 558869631, 1038425105, 1016549489, 533019167, 921984193, 431032873, 396663345, 307433111, 611450815, 357197784, 217689257, 965877974, 298390269, 694807589, 229675889, 150811760, 119090671, 677755636, 90926880, 992262859, 31465656, 988716668, 3213586, 146266525, 725371322, 1040299009, 386514024, 944542492, 886628510, 761956433, 71817281, 823618536, 700344595, 233936656, 63555639, 167808985, 343012910, 675197024, 340497234, 417886648, 280740951, 635231552, 569128235, 798065594, 823679102, 62025096, 155753772, 443334968, 143473980, 66706489, 68047001, 1039010287, 256411159, 197631088, 50462557, 382842236, 79477375, 575091860, 249757134, 1035447830, 222277511, 731700654, 902388245, 696156760, 108339909, 21281179, 652435360, 265782637, 767446509, 742841434, 573276444, 956878285, 467516877, 174539235, 143900972, 549234543, 93284984, 183283423, 801862434, 839243250, 919664392, 465013632, 457492302, 1055250759, 616506155, 859464891, 844452992, 60507614, 138823797, 152386682, 148264394, 143060513, 1049693051, 1035425330, 353532082, 290298868, 569312179, 522145386, 718622920, 7953467, 837858386, 98611925, 1033357964, 1058293637, 889978152, 958944889, 721142649, 816003440, 705583621, 256202226, 181335065, 834924522, 388213438, 508045096, 906646214, 112443495, 952352912, 531645619, 775454669, 374244550, 365415824, 1057923056, 204852363, 164117957, 749244562, 489210345, 214897391, 1057474268, 869563541, 127331948, 863276056, 401616336, 99921504, 413736048, 253239620, 24377392, 652715129, 989807467, 707167167, 962525934, 562223393, 139199885, 685633095, 838498808, 64711732, 610302645, 641380118, 272630100, 445803887, 119115784, 1048487387, 354926721, 505637796, 450360802, 242785764, 243752971, 435061462, 530404518, 572576485, 796363270, 307151787, 343267530, 168948110, 906992250, 225670186, 671498329, 649336888, 968368859, 724887460, 44009798, 1039158129, 1049766657, 1015857186, 743987003, 10255749, 967162446, 877812321, 51250159, 674443172, 118555879, 87904186, 17925245, 760199344, 108125182, 426212590, 1071497690, 143816340, 338267674, 115239067, 845271136, 1004184184, 984939067, 738436361, 854324003, 309130924, 157853073, 676864752, 1019282595, 284889062, 448690808, 6631228, 967932247, 627234222, 310551360, 251567749, 778275269, 495334273, 849900973, 9905672, 120161768, 1069003622, 1068713375, 36123584, 834941296, 1064027926, 617140611, 1016493826, 735647722, 978856326, 235672802, 160253535, 811599420, 995193247, 385361194, 173399109, 305200418, 659611314, 962248912, 746628073, 517350301, 959361469, 1017464685, 647467506, 757431268, 795929427, 659860933, 958669389, 531503404, 728517536, 343999278, 181568396, 322362246, 582084595, 841997373, 748072231, 323192345, 166246461, 197520058, 1064849285, 937730869, 429534649, 507387696, 523327850, 399934658, 959689181, 17117810, 223300165, 231943806, 424701946, 783129346, 459545605, 175997169, 586463076, 275588145, 710350451, 105709661, 683668504, 712829726, 913461991, 106541991, 148409341, 788272907, 173538936, 861259419, 854349426, 23249765, 33426186, 1012751915, 918652650, 925609538, 421045919, 467163812, 428585777, 582456754, 236327769, 969273536, 929792250, 887258660, 624440152, 785252340, 849085269, 573687787, 918175957, 343355345, 739820602, 965566255, 207508153, 188742483, 223418221, 499222944, 437653027, 298265534, 684726977, 1062442624, 246513693, 1021018875, 443337899, 838053568, 837172206, 945934177, 790707755, 961592219, 531913461, 597314587, 1042296882, 200492613, 313283262, 804500776, 576536731, 1050145796, 419440913, 613594369, 404536532, 530766953, 638103050, 379151027, 993433153, 997129645, 579574623, 704416682, 924909194, 991963356, 393165569, 982878979, 830113793, 866706118, 1069802984, 396949815, 713751382, 974343061, 1061832486, 105488280, 368072271, 224397933, 422720388, 910358574, 587876897, 140156901, 739605941, 790892875, 456932024, 162495794, 901623098, 459378668, 31749894, 695693426, 350148613, 877826567, 376556753, 73380965, 819248204, 327962517, 553486876, 497161185, 572829427, 299888573, 331562251, 310734476, 1062106547, 177021055, 625409557, 639878842, 545441114, 1052044525, 874375235, 820827776, 957814850, 136924691, 718402165, 501726816, 698096548, 1055924910, 125112202, 256610672, 17756089, 5073964, 5750129, 515671635, 370841377, 287662881, 946626272, 392910406, 292181955, 566912054, 197423110, 586783764, 344762498, 663292693, 83015159, 42973369, 157165572, 744558075, 660162701, 911987277, 196898213, 280368175, 584102203, 537738348, 533599547, 259186473, 66478809, 93166147, 466508343, 1007911183, 335250279, 323429424, 747173007, 778767802, 734704851, 786514606, 849475955, 681460387, 409631222, 744997058, 43360770, 255035601, 806483019, 171444216, 640490253, 931177619, 586044166, 224757163, 997540573, 132812822, 648049810, 776131133, 262485889, 483969069, 403705036, 676572608, 652608508, 476812309, 898706350, 703399638, 462868227, 663773804, 881891969, 140925750, 539415758, 253197785, 939843588, 989191779, 864569593, 936223906, 601537266, 282988053, 269829451, 1013104059, 842844538, 708444303, 437574752, 944751045, 524749327, 631946611, 699738770, 128302719, 348452542, 26678324, 427773498, 582187148, 267869202, 6311254, 736348009, 128386440, 843769685, 520071493, 369467125, 17658698, 292614242, 260056593, 40202595, 726669573, 831074591, 1014254511, 966380907, 613332291, 1039171592, 219804606, 992384592, 243418213, 667086761, 797483836, 901401090, 962334786, 54414230, 1009043482, 443356340, 452824752, 258402027, 827478086, 70894995, 883356542, 722679275, 272688380, 1053806693, 722655034, 326668348, 11589459, 407499174, 270648934, 94545733, 563356507, 682701253, 715505503, 978416716, 717822745, 325584903, 1043228503, 821325232, 1042480560, 318775954, 421654530, 702753621, 218652530, 724878127, 309908896, 230692868, 275955441, 970898267, 480369898, 702140292, 936933457, 47372296, 904419652, 966321755, 795209896, 632808384, 321697800, 628686944, 924685604, 100007805, 748631530, 30163491, 899012082, 608143022, 221508399, 479897377, 1054343028, 670187558, 603083790, 940108498, 995424218, 321975010, 114436460, 552625316, 118205954, 286087805, 638999071, 300356547, 809232097, 1037932532, 180573992, 951033252, 760246495, 44650507, 884275028, 394556586, 668849419, 55580970, 794066213, 45920861, 352598174, 197584756, 907139225, 410188852, 392259252, 537715505, 114435165, 117802932, 404720906, 880273714, 336424371, 260243321, 654911763, 244631958, 36924117, 551503404, 498713104, 141283522, 78903067, 203588029, 233929689, 48060657, 483045693, 829928771, 35300931, 957827556, 1053438330, 618432932, 786091690, 773084112, 437160558, 1045291148, 503948254, 680986247, 460662648, 42854025, 30451965, 238771922, 258494984, 874526165, 495802331, 479324789, 46631397, 752211494, 546156848, 33100061, 266590874, 148689465, 662852733, 46268201, 1064424099, 881722616, 522746356, 179639514, 427297816, 244803102, 837758807, 443658707, 675964793, 189653301, 867500674, 170805967, 709660204, 39168732, 854071470, 385449671, 208237981, 448859715, 297522110, 1024365256, 268986086, 291426850, 384515185, 793049294, 865046679, 283261566, 943593216, 728900145, 420477423, 261428094, 536470831, 57454413, 160445911, 79018545, 382400144, 209091371, 54084195, 181955730, 1042739743, 408744220, 710440599, 173903034, 297685947, 491409922, 178853952, 1023221950, 408502707, 67953300, 922263847, 264054876, 277257200, 268884346, 309342735, 852465087, 1066105359, 903704438, 288421388, 1071515369, 351621288, 613660931, 730602312, 454749790, 548937296, 159437622, 560442133, 152105542, 1042726688, 942803985, 556310728, 154331381, 851322194, 800316306, 25933663, 656932867, 480401341, 74243921, 129770495, 960246304, 937413589, 92420866, 1017298915, 999638450, 13807403, 586182047, 471909962, 496768158, 76738749, 232958527, 13088643, 205370453, 177481780, 739427050, 895730941, 93028115, 144793104, 1040151226, 289628181, 910179976, 449066343, 428164418, 552893309, 816611364, 571912511, 318170081, 593431965, 453356389, 913387782, 550151982, 364241422, 260411607, 820728017, 1064316587, 480163587, 485145101, 500376455, 631643208, 177309566, 822877956, 976400611, 505213875, 347526907, 1005574746, 539946812, 369059735, 685884185, 1045205617, 135243563, 645626396, 473989953, 618307929, 305145627, 484353924, 507143493, 922344885, 241366617, 311989853, 788940301, 1022731111, 372966806, 272801725, 592364877, 467404340, 913782594, 9815963, 517426180, 948490131, 29995151, 165402206, 934411633, 1003001617, 553567124, 999181778, 125820994, 62629661, 403905919, 513983074, 48108741, 576634732, 1043016815, 632337366, 868100718, 280172555, 1024078843, 1021629252, 834519114, 803642178, 277363183, 342072189, 489141372, 919005403, 258107655, 845364020, 317146087, 193611233, 10259959, 1014564986, 423293353, 792093869, 721516772, 22316886, 1068818424, 949646042, 469233061, 758026416, 435946445, 3593827, 1023582123, 726800920, 323569224, 110374538, 906096783, 847341287, 476972215, 315044878, 501322038, 511424424, 961709877, 113456860, 248178235, 2600080, 961915876, 452478138, 189683691, 572273375, 408331324, 221878942, 691723974, 312899566, 117896796, 434676117, 817164182, 228052643, 714561913, 188258624, 301225863, 740610773, 339727176, 194991672, 91961599, 11375926, 242908058, 330033534, 704228646, 870724426, 131228356, 400810186, 7960078, 240636700, 154279119, 542150827, 480783188, 227556935, 202003282, 285222061, 735322244, 934610939, 422844631, 893762799, 1052744036, 433853998, 797666890, 777137060, 226304381, 43722674, 745001170, 494115248, 78918246, 293980356, 821183428, 409712906, 339616837, 780115143, 872860812, 871555251, 144721367, 131649073, 436472758, 588165409, 1000027870, 354031940, 593763277, 298961836, 54391360, 260409439, 194691952, 431898655, 350536627, 575827326, 1027678585, 773587031, 254567652, 101058143, 879092905, 1026839728, 558702692, 123059231, 844857873, 660100636, 862420866, 945119404, 201657575, 243773026, 691110384, 204151944, 543052392, 47032147, 803571315, 910624601, 635656651, 836033768, 915483741, 493739450, 771932040, 431847870, 175914031, 816347177, 27721140, 231904677, 593799332, 221495967, 992371768, 769903197, 131490959, 639673479, 637334394, 336275013, 658175533, 329561683, 183999707, 518061306, 80814507, 341426893, 828066280, 563897551, 549315414, 784942202, 337642318, 1050962891, 569456336, 876774766, 76681466, 570930124, 361857884, 681135545, 141298454, 305261392, 571845387, 1013349388, 852635694, 907136334, 838391260, 74728445, 358323090, 810792429, 152197164, 591338538, 93407672, 416169396, 669066933, 995194241, 502657729, 810262274, 237185439, 224917608, 425718526, 182391336, 785936519, 287604310, 222085523, 609322496, 4419250, 375870121, 848989246, 389709963, 169693611, 753000599, 144564220, 154758217, 1025138793, 614068173, 292379346, 640242145, 183136603, 281790217, 1012564391, 683246765, 945729320, 807319666, 423434795, 281933339, 1060044172, 454431847, 434369085, 240656588, 221959292, 224603523, 427130725, 725067668, 1057462990, 23760472, 722480250, 761187912, 617361610, 1064134891, 121710450, 102845162, 17176089, 739861356, 831790795, 642368804, 631588254, 478158938, 698987981, 180671810, 1050815809, 281112489, 996738045, 183522437, 475162859, 687716832, 695678753, 16992992, 978300477, 334268690, 524248551, 143644396, 515975993, 97543192, 768308310, 945322495, 554116214, 103441293, 687153466, 177616456, 619352402, 941293788, 798778839, 1065968575, 331242217, 558605886, 1007899656, 413805721, 860085716, 1047364859, 720926581, 589540823, 656547067, 327347952, 1069524314, 209979615, 740030147, 629956863, 498827641, 861682407, 605245675, 215732860, 5148393, 231937686, 783502710, 902696941, 105353619, 220216263, 228526177, 173422323, 73283161, 825650689, 633097368, 822100138, 1012956219, 979286357, 288595154, 732950626, 944689001, 609330356, 501891006, 52473920, 443964861, 873021112, 131319752, 304816898, 367092045, 477938986, 670294629, 521467160, 825515903, 145069725, 1064533183, 673329083, 122620073, 254307365, 982791713, 551811320, 259758741, 612608115, 572700771, 191176226, 97588642, 781743329, 995128790, 392583755, 99881419, 351016214, 429357214, 841306130, 464089528, 1072116735, 972691496, 919846947, 291371552, 562544348, 937155316, 212767396, 774272006, 520537765, 631526801, 680134503, 868700071, 287275895, 292844501, 94959477, 204244152, 517039703, 649921688, 480658337, 103064473, 429110811, 135331992, 749355718, 807256105, 693499703, 1066613231, 857942041, 622654356, 52167153, 836253484, 60105085, 320309316, 781243253, 131491098, 296166519, 750684671, 184327950, 765504579, 418721223, 870506336, 965410779, 461093675, 796520564, 697586559, 488121815, 870301000, 896192970, 822662130, 329420739, 878078698, 321672527, 391599510, 419937922, 958012473, 1033100511, 40039297, 977001351, 469096982, 591761401, 466093348, 313803517, 57881124, 650759369, 81915163, 788627186, 37903516, 12556330, 256593118, 491915665, 712708826, 1062398544, 810697040, 15830623, 136386514, 187070398, 997652793, 299605948, 860509406, 997846287, 688911530, 20145757, 423562985, 1057698705, 1065894536, 932698968, 45098277, 820165292, 750049389, 833812245, 724683459, 585527085, 61811716, 370952692, 815374901, 29084434, 158778937, 117092490, 218168636, 188601133, 44888549, 351278800, 482524882, 836999143, 442495091, 609982673, 861317303, 62862092, 509416227, 482107656, 911212902, 829054084, 958029091, 80290659, 504501025, 644163003, 180401785, 975386393, 677690111, 421647264, 4588454, 1021500569, 568435662, 982165725, 492222069, 299721689, 57424937, 779375672, 123075177, 311226699, 963101677, 420137892, 310886966, 903724912, 651370611, 973736057, 901731674, 1062117153, 270537166, 601259771, 1057125743, 288621086, 632080472, 664584860, 599420821, 654664695, 825397029, 519262056, 827034907, 465986120, 142432299, 1012297635, 709604786, 717610520, 814114061, 875604018, 574418865, 84239721, 708739039, 399892798, 771171586, 466511529, 551675252, 1002931749, 333695516, 34276402, 29841450, 95469241, 51077165, 995114682, 740184866, 54788007, 175139478, 621016122, 37715174, 513821960, 1022671258, 960612295, 948523377, 580610577, 602062254, 867704787, 345938207, 1009258861, 549938578, 72681030, 584712422, 470853382, 114025742, 546789394, 720576469, 213588815, 793880729, 1061872270, 642151456, 600597770, 535493323, 973695954, 832504321, 547014131, 205414754, 286312855, 633054379, 394078626, 93217047, 459036280, 296413611, 777463277, 749216296, 377514452, 352318653, 362140685, 403362695, 86115265, 163818177, 1033521897, 614894209, 256959642, 992886672, 536854775, 1024695412, 522365911, 380417340, 82878940, 971009503, 772358594, 832180256, 1000299401, 40944590, 769334324, 914342753, 340129944, 631018749, 816493987, 916466175, 804764875, 787715193, 785693737, 675374612, 948971072, 441702415, 297042223, 1002758193, 515159228, 182291395, 94919806, 191832555, 655851595, 779619620, 66611960, 965381605, 264930021, 725440923, 416955800, 317086257, 492662749, 1022499319, 434089091, 42669840, 570540914, 820970579, 668724798, 229072572, 375463261, 836759007, 723788277, 925286823, 383243362, 1023147809, 848747891, 866616436, 695901196, 369344995, 485892336, 212900962, 574034144, 727621925, 99003358, 1029274862, 169611624, 269662091, 51773997, 926849842, 178743125, 448170084, 200943332, 677712297, 749860559, 837611579, 641738724, 1040174850, 220285500, 347830776, 598577042, 372104025, 428566313, 386196680, 1042496800, 213565464, 461853591, 1002691852, 813095859, 317258867, 592798880, 165646663, 336019949, 878720185, 1050910209, 1044458701, 217561640, 540446294, 30217638, 445196869, 26470943, 939142955, 702061819, 205637973, 516663970, 957588028, 978041769, 205096485, 302569163, 127360664, 619789222, 660816673, 189761648, 188008262, 299339900, 1067387872, 848407335, 1007772597, 1000552173, 687387554, 257850828, 832139450, 613876048, 728215648, 165819821, 857633756, 145429360, 922747259, 758042530, 148174209, 458664581, 751791042, 314035574, 549967040, 651546286, 917325354, 412597931, 566061891, 803488345, 463062865, 358819190, 314695288, 176067638, 33077084, 301753363, 839679387, 1028562180, 144562350, 919578181, 351161616, 311202915, 180850268, 772044637, 868253756, 1023077733, 751408658, 793295, 102116598, 171817254, 46062168, 799173106, 589301860, 165548472, 357741509, 106281818, 325615237, 651163286, 5602116, 205164513, 652191919, 1065175124, 356492187, 226770324, 81101439, 419398285, 471176356, 724881266, 320001812, 585048992, 501820376, 914953558, 371872075, 289922337, 47127886, 655007294, 183055486, 252804367, 1042469765, 118695845, 531007479, 119780984, 450836757, 621085607, 973668607, 308399683, 106114616, 405048947, 291053564, 872628282, 476770907, 143663056, 915631143, 976769912, 789644245, 674000916, 408227262, 953959769, 796376982, 265619152, 431894743, 39064183, 13996548, 212274688, 950515422, 2482321, 5456125, 133211387, 157392829, 456715336, 548399108, 58178210, 252469611, 648862767, 16667797, 956598084, 228982077, 682534247, 694340273, 26156149, 789531824, 35738483, 666046031, 816915150, 1030789704, 205933068, 828650531, 404338798, 607451625, 863538823, 781439440, 852255280, 718340004, 1011878441, 739780058, 551205304, 825913242, 727064173, 175891699, 971498992, 192766209, 952909567, 116926731, 654295184, 680633583, 156960991, 14349995, 618993978, 10858771, 345584982, 547269863, 960286902, 406919528, 1050900034, 2917073, 646800508, 291786758, 438594620, 10496901, 23995178, 512367914, 81132740, 63565779, 696863433, 1054894236, 819509135, 387149634, 866752940, 975866405, 1013180126, 939894460, 87890150, 276177071, 708525029, 335337933, 1054861623, 951287305, 396915403, 320385325, 255191351, 637208180, 353568357, 639670015, 724504705, 405111432, 94589612, 540221384, 749156514, 878074331, 459930282, 109147408, 66307505, 854223746, 1057486623, 713460864, 700685836, 272708623, 609047873, 563048143, 374826370, 456540256, 278962183, 180375466, 635583143, 497920472, 841953240, 774802207, 651446956, 929911388, 42272061, 815976484, 254181644, 196855672, 347545671, 155017298, 158209184, 985158983, 725042921, 641746695, 781269828, 444509153, 290031541, 186213365, 836925076, 216996876, 845178714, 1918074, 627628585, 248063666, 223693689, 1011374225, 687974229, 102571376, 295666758, 96755782, 509811753, 979450021, 182819496, 621642335, 470251547, 636144411, 6443390, 520569186, 1071916151, 806177675, 75608423, 397741664, 736271511, 909266292, 155980321, 814896340, 112865250, 1019662263, 940260251, 657963028, 1019573693, 769751701, 163047205, 430450535, 68267163, 755470793, 507691313, 238248896, 955380392, 209929639, 590592218, 5056932, 812074183, 58059157, 842119218, 295937503, 123298663, 706684613, 603853226, 106547033, 155761303, 395930598, 741562005, 163814995, 638598272, 660985247, 688429541, 773439779, 774652404, 139732114, 937006191, 129418339, 460848510, 999650222, 1022249656, 501741098, 203647462, 469594706, 9302844, 1012330767, 247054459, 325243437, 296686866, 344352472, 300381924, 546984596, 915445970, 392177978, 43767349, 509877222, 544130591, 416437400, 777306575, 1031369694, 437918066, 88265742, 591536579, 130536484, 1065474749, 434919675, 162823700, 996139693, 329635891, 804294456, 1054386037, 691488934, 33724788, 856116304, 116041016, 996964212, 352276352, 932901420, 421705006, 835458835, 838329741, 470344526, 660279381, 177503920, 850624437, 1011712341, 789482760, 156187817, 182658766, 837493964, 344140920, 31863459, 805090705, 49921967, 1819206, 630232051, 895107148, 879682541, 802144359, 605949977, 1038880939, 58415480, 992689064, 20260054, 14853561, 163169993, 938289296, 510921759, 847426147, 496234747, 306284962, 718550674, 601108298, 447626631, 989693821, 512759887, 157471829, 967758344, 428602375, 895846712, 126888451, 413380146, 464292056, 124179676, 664265, 166894404, 7453852, 94051426, 519498337, 503719909, 771760985, 927006586, 1035431728, 608252333, 252582904, 262165671, 86994802, 282430997, 197414313, 485051840, 410680872, 1002486592, 599831102, 763562379, 113300977, 327480078, 238868501, 561730112, 190071544, 459931857, 1022505087, 62047045, 247485444, 952154698, 119072401, 187537773, 341995799, 264997161, 248995589, 517301085, 377108572, 541374107, 633126727, 954626504, 321169734, 419923630, 1058681160, 869486847, 155033291, 924839200, 984523175, 922996727, 987356413, 322983414, 372279955, 84364683, 200031758, 517569369, 438610604, 435995572, 142961519, 667570309, 195914574, 259595789, 472376794, 320894057, 70210423, 613281911, 304376536, 156773853, 682488333, 462588896, 682911178, 446424112, 943078485, 582357667, 898667418, 700343721, 707742924, 497184820, 28493472, 1010837610, 848190031, 28175395, 600046762, 513044668, 373304308, 494907532, 1072342465, 851766064, 454617040, 594286290, 410002742, 358261351, 1044820664, 339231687, 541166731, 138732021, 396812064, 167259174, 256644296, 188843896, 126778014, 214638330, 626176861, 957508731, 570634048, 514908466, 905469067, 654711554, 890869259, 679262124, 572151327, 32473850, 635069167, 963331932, 392232510, 947966944, 530160585, 337192164, 740233923, 115098735, 935408377, 1045910860, 457930767, 104534307, 474405278, 889799865, 229557912, 890183913, 4011582, 176795435, 138089011, 811477988, 842450199, 629415316, 1060467414, 668291411, 327733365, 780516156, 951468354, 639599393, 57898533, 454192431, 158092950, 130695729, 927766691, 481564380, 494314803, 64693203, 1019214272, 273642436, 663788357, 315104000, 117957821, 275907895, 891479104, 848989929, 1069466432, 809038654, 935326577, 831913591, 574404234, 786606741, 503613609, 125778084, 748809231, 626732160, 800178956, 414455277, 315588276, 529991596, 561311772, 700796769, 885791719, 419168118, 174127846, 756246978, 934747797, 469976903, 338008125, 614043928, 341799587, 107237451, 633998287, 332895966, 529469746, 269171567, 888803952, 635210327, 983976758, 574966141, 824326929, 1061399359, 390031616, 954855305, 414243008, 81107529, 382711389, 618057784, 185667106, 758574105, 67078102, 864631708, 113272796, 787100404, 250013048, 1008246429, 360955406, 1013531984, 226203766, 659314019, 527671787, 408501973, 357665712, 933004628, 753583416, 1028173586, 310231465, 491704103, 178904669, 780773840, 454966572, 719693802, 521272962, 558948418, 238254969, 108062014, 35555362, 905825188, 496331504, 73899081, 368423726, 736983070, 845950523, 217381863, 415794335, 10082362, 47933926, 908913113, 90973105, 901304978, 321373240, 611235630, 72350244, 664792122, 242622537, 10214068, 244319095, 40813467, 564602844, 793539951, 96576481, 727234203, 796961822, 1060239221, 297570982, 155558659, 233814960, 136966034, 108178631, 262928397, 76158786, 835723852, 841227191, 467373660, 602893424, 388258909, 828248944, 493648638, 461569230, 460491111, 483971680, 134033180, 457488185, 602596095, 109753155, 1043813351, 618529630, 201864941, 910298485, 982533277, 221737047, 485750605, 825329918, 232247651, 838352189, 116808262, 92909010, 866766405, 117146621, 1063456820, 93526316, 20297562, 303583482, 932469335, 199822735, 1057716866, 177401603, 956962871, 588681418, 781379793, 245242717, 257931392, 896180991, 187865203, 1038264693, 861674779, 75281228, 624551622, 733705046, 540330683, 750621835, 727704680, 92432176, 58713977, 444888895, 606510590, 221456410, 628902114, 970752354, 557623657, 535815076, 569012089, 798224190, 461783068, 696733688, 383146813, 1041119240, 19764107, 207297015, 1064645775, 31146075, 253395129, 1026290647, 103460480, 811579303, 291746091, 673286882, 696245529, 179791908, 553067485, 258961401, 1036981339, 403067539, 441405531, 31210113, 1048001184, 523998424, 744462334, 191373920, 266348963, 363610381, 994301402, 339777380, 51466746, 423688656, 524582977, 164557002, 1024726526, 473367560, 503388274, 212987455, 896657909, 28947471, 37508494, 422359680, 779163168, 761703132, 671416690, 513582999, 189630644, 459015818, 1030692901, 1044922618, 619106782, 254018013, 82090372, 494337836, 230808308, 242054546, 1065539720, 999669916, 373633189, 703436897, 286363907, 661777171, 307839354, 475282040, 263433643, 394407991, 571754269, 1056834041, 75843164, 1051687531, 763524313, 687362766, 338838771, 461093207, 859419350, 1033189431, 633397683, 16806453, 1045658123, 839937500, 464905031, 462533428, 98354235, 830839112, 645800457, 501422114, 723292601, 146735751, 554531928, 578813250, 794463745, 214500997, 850400473, 343349713, 440113193, 36494148, 20842181, 145756803, 810036751, 91387821, 907951701, 984763217, 315648113, 820882382, 544333798, 998602048, 864742740, 547913954, 704218590, 724454343, 873427065, 87914141, 872537684, 558215805, 303340599, 1039119442, 468177062, 961804239, 304811664, 99996974, 804978431, 695150719, 750052447, 443523871, 1020020880, 940339457, 638637936, 440632285, 1009218865, 226811829, 459564196, 849230782, 68492335, 225778002, 886496165, 101234337, 592281373, 543282192, 1048665526, 1012088209, 288644619, 1054646778, 573249847, 295805456, 828214917, 524960178, 237056747, 979677677, 95975019, 1007761803, 420323810, 593542344, 440828576, 988532972, 340454925, 999743276, 541738394, 179026585, 843590274, 59391536, 267008129, 358785486, 896518305, 808659614, 401493819, 338070705, 401747487, 359618695, 691440941, 207187118, 804882841, 921903101, 817694728, 820133320, 727624009, 701950193, 625450545, 704422345, 597076236, 618725717, 495547474, 755319628, 318032433, 442238731, 391591318, 113586798, 1050634468, 111291190, 176718448, 89966194, 115724958, 421599069, 1053269681, 941368643, 461547453, 954927428, 183701384, 576153633, 691301707, 117374258, 896991178, 552124604, 754348805, 882850993, 162517969, 78632490, 161506535, 617723812, 750957817, 110388018, 199653150, 633889235, 416930159, 44493812, 709226226, 490788635, 832203713, 478881087, 14134791, 737622539, 49595582, 427768682, 888938740, 667433783, 549658842, 665537193, 554034765, 756201558, 204138212, 1011576334, 4143764, 946200576, 300698702, 612799889, 162110471, 736445150, 208256807, 971290849, 420379142, 344189927, 410182119, 356062029, 546888771, 452843428, 843671500, 471862654, 1057479602, 197151835, 545293048, 838519997, 61069686, 723961711, 992597675, 691963756, 947362213, 55703271, 116480404, 297938357, 867415108, 594904808, 979458370, 250047581, 396886176, 857927448, 180625321, 811720990, 307037218, 265750669, 107722199, 19995721, 707146105, 529097197, 342700838, 525398129, 191568136, 30187654, 753298239, 470706016, 460656839, 816673504, 259985593, 936807798, 264469484, 263580074, 9449530, 398029539, 773526691, 175075335, 783243575, 410110374, 431652385, 845885866, 339213206, 403222200, 689422805, 303765892, 389977124, 838847521, 240199381, 747569117, 27164409, 771244685, 1022880406, 924052264, 42207426, 746343667, 786020499, 64124750, 453845793, 337010978, 228751176, 283848665, 698693792, 510702229, 585757018, 42244459, 439402757, 943442462, 1025798033, 330543121, 395115669, 291418428, 303295255, 1049027631, 954100809, 208598590, 737876666, 54487472, 935836496, 171320917, 110919738, 808164080, 220460668, 229630296, 709020905, 596000500, 528631486, 776486272, 1069728286, 590891739, 337588525, 442698262, 796215827, 855077422, 719913496, 990862850, 345426559, 860116652, 103978845, 698446015, 36028263, 710798208, 299935704, 229558183, 373147282, 240493138, 213992110, 1057567430, 1070258500, 27779983, 459587720, 388058903, 246385202, 829808654, 628072236, 584880952, 264244737, 665632977, 260401445, 505151852, 1043107291, 1014666182, 949831301, 173126504, 908573576, 461498137, 797598986, 499621184, 358493969, 614239600, 688083924, 532065937, 183951260, 279420681, 404886626, 232800117, 872950711, 231430604, 318565184, 286096924, 478631044, 851611747, 706318365, 339443762, 458442483, 152572407, 947988415, 807540093, 868849940, 948774510, 142480409, 1016651345, 440671507, 167763857, 108848276, 122645132, 1002037954, 386415356, 335241594, 678024230, 30076955, 431723018, 751737532, 156876706, 1024860572, 1050071779, 839005832, 632642145, 439059211, 306805462, 318837688, 901667582, 111111232, 797702752, 340024390, 218073173, 296471811, 869580476, 743712659, 931922614, 249606990, 542960783, 487047178, 722058519, 509795484, 691534018, 490464390, 318897551, 972397477, 394118494, 865211244, 147839402, 181081769, 1036440260, 504860492, 86257595, 912378271, 775798771, 38132299, 1056288625, 754410303, 316267052, 979324490, 791418101, 408482434, 827548743, 255515747, 519039780, 211196259, 208096596, 1041937071, 972863199, 731067093, 843278264, 295679861, 1033262558, 114640909, 703713371, 778713825, 733491271, 861976220, 625232663, 602545474, 879989908, 885032446, 647230885, 973514943, 695350639, 457518570, 229449392, 218690997, 456747763, 1019130219, 516644890, 170928305, 835613583, 839521613, 575915018, 712327293, 48375304, 798107472, 910219598, 1044959979, 199022632, 845973743, 694086298, 323893786, 764860551, 492487515, 775743843, 29350849, 27771578, 253303679, 536120732, 870676860, 827028234, 1032817264, 78762649, 748479094, 600279836, 885977369, 222884449, 954262796, 229137044, 997026174, 729597161, 934357067, 208240924, 178855730, 680594323, 922245046, 766184938, 291850512, 156588245, 957686332, 416865360, 938986216, 32787174, 640879864, 374721886, 558939656, 112381001, 952135475, 180989814, 429656775, 215034027, 286112470, 115357515, 95000059, 696432896, 44121614, 903053515, 894425231, 357354397, 967913195, 102190489, 564728282, 445698426, 185341767, 100320518, 857360998, 231268546, 102216847, 538902940, 815770222, 147214774, 343673219, 716859448, 892058421, 937002584, 974411758, 24771464, 965915264, 372926003, 770066879, 1012357687, 246727853, 457319364, 605948666, 650824578, 732300988, 718315381, 184949770, 266585807, 307697516, 436325650, 265782302, 872932298, 152596579, 781005912, 607608719, 241611404, 991691878, 70357500, 418922158, 688121815, 851742664, 46362353, 606978439, 209080722, 272704043, 83954682, 270224694, 970154679, 308418800, 937112387, 984938329, 682780408, 418325000, 139516487, 942558691, 639923271, 856574224, 333359803, 393006702, 816859938, 32568440, 424216758, 942548101, 761600865, 510826300, 222251052, 785492935, 587178934, 109637248, 966103481, 665153584, 697863487, 812175435, 388781863, 661934555, 519284301, 71393184, 400661118, 777031642, 193784163, 463412125, 342607543, 531614115, 108656633, 424525360, 388876673, 687287687, 173874915, 824100196, 1044021811, 102134456, 795854012, 45998383, 919084720, 104596019, 804370485, 221279256, 870714745, 736097564, 253790370, 149194432, 878356093, 443413953, 1037403181, 213568880, 885921193, 1044494026, 589181511, 309129968, 1014012091, 842809364, 468228486, 732964969, 9611616, 502249013, 892291973, 258247234, 93787876, 716507508, 930784497, 182454653, 683836940, 314850994, 975002787, 803873962, 251661320, 50331338, 974934854, 852699887, 536686878, 586620768, 877266123, 221830470, 678156090, 1019850141, 759551265, 343983824, 1000898426, 386031878, 822771712, 632364477, 529038138, 930171328, 166894588, 95366251, 897396785, 386481699, 78564090, 481872414, 984618972, 162268911, 527072005, 683678095, 1033089875, 335374263, 895179589, 714876466, 367073103, 143165198, 729925566, 735319225, 1008724931, 723360078, 108264873, 451829296, 712840922, 15867064, 737789319, 132312207, 614413693, 556611022, 870051638, 464711706, 234147417, 575341085, 483909149, 735138627, 57578589, 694149260, 821723714, 158252228, 235030997, 434315193, 263139288, 371186726, 209857832, 955705608, 678158147, 653046810, 679749393, 11960912, 761972616, 600946914, 416339498, 51787364, 20375446, 1056290248, 77357289, 182866598, 1050836595, 331859763, 1062807135, 179809379, 776295235, 551034938, 732436695, 887975404, 710603648, 260112017, 786408117, 278606025, 206478302, 1025113297, 657731736, 986702847, 639224713, 1035030410, 447099668, 760254346, 1040068582, 332917551, 483631862, 877779880, 662556921, 125496051, 760983265, 978613583, 457105960, 445475404, 110610718, 583400553, 658460119, 575126102, 232857383, 937149763, 698930966, 787086196, 982953452, 749682558, 150874819, 332927651, 1048381785, 826383338, 150816768, 666240638, 819605724, 537761624, 651524232, 89889719, 248972622, 624977313, 883678272, 501243521, 918189621, 743414510, 903059898, 1011782348, 926157784, 93375263, 491921326, 696227698, 113610868, 614466452, 708371053, 953002052, 323817402, 285123944, 1064235995, 510009513, 152255277, 960638167, 241033796, 241847386, 500379387, 702505976, 465201522, 470544041, 960411000, 276145791, 725755526, 299891045, 906738698, 250262813, 108430992, 523960548, 829450863, 747750195, 191162600, 1061816744, 900598244, 291602783, 758653560, 606359844, 810427058, 203430968, 610874880, 129020667, 68735410, 398747266, 429000984, 974198545, 476229802, 196486626, 435902012, 855606953, 456425967, 519732045, 400560259, 617294032, 335067250, 157887812, 385647045, 623438939, 237432871, 766562561, 438909295, 826793835, 999869603, 775258925, 896617180, 526760277, 654647327, 734173691, 635315961, 895319683, 623197114, 915733757, 755786370, 424833529, 786612829, 146804409, 723323890, 604973600, 407862691, 30295525, 335400554, 902784097, 129902580, 349981451, 258403883, 499550011, 228186987, 1049508822, 608755652, 354112761, 931074899, 523455167, 200615846, 586414559, 266783980, 307523505, 640708467, 761764407, 950352119, 315609486, 680354302, 1697152, 461498691, 718277987, 947008857, 889194167, 501886251, 205280200, 492439056, 968902031, 454372323, 214563587, 1047380639, 100548233, 47083705, 499094227, 976491001, 556214966, 43550245, 687895650, 789901529, 872723351, 101283809, 892227735, 226143746, 976237222, 636066315, 971228223, 817216856, 733063095, 217044452, 1069072036, 952014121, 1007991672, 622542360, 689826317, 763014023, 341609301, 213352907, 828182498, 18287111, 271233077, 539743662, 116387140, 86376589, 139875380, 552280815, 1065339991, 289874783, 1016617847, 725264417, 188742443, 940157164, 257368919, 529080204, 52244302, 247415555, 579278152, 1038012782, 536051785, 767486610, 387451432, 79767046, 531249001, 616148615, 612850798, 708403250, 648584589, 187372813, 928996048, 285514266, 38746284, 21467664, 49026822, 549193335, 549502244, 29732025, 35239250, 729694950, 1070594025, 183036135, 562364974, 612656164, 1054883135, 303581522, 747448813, 537923326, 28508332, 557886603, 881562271, 1071612620, 904108970, 608115780, 967495328, 970453892, 807000955, 579356323, 864825514, 46497790, 450945792, 75313201, 840716369, 324607615, 407725743, 670636497, 373929576, 248506434, 964721699, 758550857, 1043083726, 1062738204, 895699029, 339055393, 66453258, 430177531, 826591808, 692319870, 738748497, 917846094, 40053053, 698694680, 217321917, 727878653, 886151163, 649800787, 351017137, 345772131, 707109024, 939592985, 187589069, 229465867, 947098864, 63594790, 628052900, 829865387, 678715097, 601877718, 1019927784, 375533837, 356462365, 631686632, 27822003, 460772997, 771621525, 590744807, 212887876, 495236653, 1068656130, 387457798, 1039056133, 533632416, 817372629, 701977983, 7059083, 104088133, 258799533, 146309476, 777047194, 974994745, 366397114, 819060973, 180974795, 71411419, 913880261, 355432354] 6524)," 1073741823 (minOrAfterOperations [524090267, 312026048, 238093783, 305937332, 332445133, 678889095, 766430227, 907853586, 526154269, 787602279, 652231487, 599477278, 334513195, 576036332, 272672599, 917569445, 179248110, 115211167, 93032584, 496133264, 855780297, 531534974, 49905719, 900249290, 569853120, 740859117, 833224511, 455336951, 362685097, 780010552, 345300210, 888064726, 626528431, 121227462, 64416630, 332616726, 236137767, 614682954, 414750430, 471878894, 521944724, 921471261, 772474049, 155302327, 842705940, 339745555, 519885436, 520105500, 681263804, 771959697, 536287876, 594482759, 575265054, 517053607, 883295489, 237510116, 44048610, 684473107, 51072681, 434862542, 999814343, 180711256, 205743066, 1038939263, 58193189, 341137325, 383725441, 468256521, 82112489, 930414702, 171729462, 161215988, 18046645, 948199819, 897161275, 324574870, 324356740, 349437184, 295267297, 106863232, 55931821, 686762097, 711714829, 446561982, 1014161326, 204961608, 291741059, 638586217, 641026113, 658087918, 407256649, 756381801, 160256447, 713668585, 733818375, 12599931, 429624718, 392328854, 830739746, 28502010, 597851323, 290031500, 588662265, 993676391, 749856914, 1048222236, 569925986, 909246770, 890092342, 859843576, 231966559, 895467204, 179762331, 637872399, 217640004, 872181489, 751659632, 463109573, 126518327, 370666390, 757754842, 750326232, 174813562, 280610000, 953198654, 766587992, 212009609, 232102824, 723879680, 835805797, 146268757, 116922326, 544440273, 822098719, 484729568, 340244655, 165874140, 82075803, 675129355, 7405218, 128959368, 983758367, 642210801, 202482303, 821578980, 444239986, 697222710, 7022788, 701605306, 414067809, 1057969821, 914834389, 404485854, 55202543, 227733051, 918237494, 470959727, 668538750, 743940516, 305472196, 182726743, 780652111, 679402466, 823844063, 768243971, 756709234, 954510095, 250658293, 919758364, 818660895, 27119045, 8831362, 105791340, 342592293, 815891588, 254218602, 846805038, 194505754, 976154477, 91235027, 484262003, 190245936, 1011280150, 65850939, 954372198, 354144400, 336171637, 251863691, 493624647, 666534334, 382737386, 257748212, 291470385, 842150481, 612002480, 498184107, 676864926, 622779242, 713840163, 713369858, 818754550, 652057638, 952951370, 121125483, 48552072, 289817519, 934517324, 423320455, 887457203, 517490899, 994953375, 531885949, 28258115, 116515044, 1066698635, 8322820, 137404588, 944327758, 822207964, 724495147, 640835910, 273514718, 567205382, 661482033, 348153585, 724488680, 43382687, 874631462, 99642134, 134520436, 500726439, 111144734, 424455305, 606142046, 635230309, 851528253, 275836383, 479318671, 790222976, 164687204, 332654723, 762385381, 988350441, 1017139534, 757669774, 512680982, 679708750, 26700833, 440154094, 422255913, 1050603851, 31539925, 716845184, 534988722, 1014413402, 194274876, 200578837, 576063459, 371817543, 905279830, 712322069, 444552564, 139755701, 195337179, 610008459, 705646953, 842892034, 715482895, 5453392, 36159377, 633630300, 305000814, 894139870, 354629151, 524762499, 604172068, 181780919, 832664546, 563595668, 717588503, 49280406, 663399216, 1068603514, 293060651, 517809254, 1013083574, 941499989, 101714223, 328426785, 842411660, 830770046, 319611731, 322963462, 49338228, 121323750, 264591896, 835115240, 652333317, 193569845, 408777794, 751863471, 236484001, 380766026, 133344534, 701636674, 44195082, 694056104, 485219269, 82441352, 578558880, 696450510, 484502368, 16850595, 366945976, 565304534, 589120248, 741704199, 767338504, 569614474, 301032388, 710010165, 308674335, 833740968, 50497256, 1041196938, 972994274, 835138772, 1045366452, 600332460, 692505577, 371495125, 912349331, 222807989, 293432999, 894679303, 114451976, 320121257, 947329925, 285159843, 792078751, 464321589, 663796737, 503902688, 766664215, 534650696, 129138357, 139549642, 955367333, 801370561, 958191220, 238540738, 19065173, 177568979, 530979971, 156563967, 848958107, 339826093, 465240939, 73191667, 658546441, 982323920, 422708886, 359092060, 570014948, 339951426, 591756315, 330303725, 966886723, 237657780, 402540622, 38892755, 35326898, 1067523297, 106084208, 696629376, 313614985, 1060073670, 1034696223, 183058334, 269306411, 979929651, 471796054, 923620998, 509148899, 278174460, 56127964, 929384099, 478122758, 1070841228, 707590984, 893668996, 803324624, 808912419, 841972067, 727462234, 923020182, 835121340, 538364489, 1063652066, 220071672, 47234934, 25784788, 831608266, 804021130, 591294615, 129199459, 405629441, 712391310, 1028152578, 859955117, 728966301, 844549155, 782201944, 805024686, 742468057, 552125083, 736413402, 542958739, 985747208, 77950210, 816024512, 241034503, 398936238, 97013629, 373417247, 1031327540, 195553055, 929181278, 603266517, 658516098, 701406801, 846375569, 385693498, 885070280, 536717269, 656285227, 508041760, 115663473, 309662209, 829853498, 581057661, 371915502, 141343876, 37106681, 429768677, 140051579, 825919731, 715854611, 772021990, 30963942, 683322281, 190485449, 659698041, 183228301, 185091488, 1008139801, 1047066291, 102834348, 535034861, 14990317, 688336942, 452154289, 853548508, 707551717, 156483724, 887668008, 533162589, 338093450, 567476576, 265964651, 176758776, 740954139, 633363763, 828225717, 675183623, 30888434, 68461570, 297889797, 380781764, 254953785, 49109800, 821163518, 377675489, 290875577, 22654442, 436529890, 754260017, 193443918, 283381677, 238231190, 1040981968, 486198409, 771830278, 560896544, 281110044, 748847707, 801259012, 1039450159, 830061530, 353898151, 885515827, 643640224, 267491957, 943715193, 753902675, 376974059, 694139124, 64686139, 226300432, 918142962, 995633517, 648636213, 956620921, 56336308, 198465213, 429539176, 772825956, 728602315, 344502037, 544484467, 1024897728, 555001760, 962769074, 519326370, 292446415, 194965358, 199246274, 664975187, 658234311, 950431273, 1021936025, 137237175, 574420008, 353613666, 591791909, 303077282, 194895331, 900281387, 413595989, 132010670, 547792813, 314608869, 600122688, 1791059, 3305991, 394936449, 462414193, 716812125, 907458284, 956425635, 47289603, 599355733, 532781764, 295488261, 735191817, 853287327, 775331673, 1005235555, 971472184, 862976596, 84841516, 207704078, 276908004, 651317272, 787094318, 534417158, 975522208, 492521814, 406648803, 837298703, 267372933, 205133831, 45227716, 754337807, 560382590, 985613845, 901197772, 502516041, 826895251, 714107208, 618694582, 191610422, 1016598051, 911830911, 155060018, 522268181, 867597276, 297571740, 273337944, 141463906, 336106774, 830033241, 809116959, 982414633, 884173995, 150167162, 813693429, 821964053, 313500983, 540543057, 1048523918, 510696106, 847585323, 214784126, 662885103, 639998645, 394463110, 457937261, 114693067, 315753514, 127549552, 954338928, 50233395, 798538143, 783475793, 506291133, 878844008, 631037244, 100984831, 831747672, 1052601368, 208811083, 687548377, 336898447, 584403584, 830874654, 832220716, 711630016, 74631668, 1010890448, 373088752, 803079396, 8713930, 528147424, 273151000, 125978926, 44390684, 338755411, 839245338, 449786003, 49294616, 746702640, 964232697, 529008405, 376644810, 982398261, 814123756, 1054812761, 177381282, 211357595, 354667025, 89025228, 873254343, 673885420, 596994465, 397405245, 230668799, 375555736, 530150581, 392067804, 382758572, 93728017, 595040775, 254234620, 493927028, 982653482, 139725313, 480518776, 809344478, 31975642, 37332620, 346706603, 419005722, 715479514, 441443007, 232826167, 805234930, 478643672, 160660810, 531338711, 119614866, 641358003, 865954199, 443786968, 903555311, 969278263, 596402972, 570729410, 736106314, 348586094, 181979684, 379652414, 396594027, 960707627, 104054539, 18109389, 919018796, 735541607, 111814612, 517092696, 276685918, 339734950, 990783591, 622074483, 464193326, 816238814, 926540349, 359813173, 418373335, 598496443, 665999758, 105165173, 55857037, 773833891, 919230924, 177065867, 758451491, 567973219, 401441943, 73658264, 661506118, 316083924, 172913982, 403426065, 475880944, 908262287, 568892747, 600063804, 89489135, 1010517253, 539806130, 364431116, 766830208, 633225727, 378167348, 180067567, 240817847, 526596916, 617501208, 351706548, 835659222, 604554542, 241382056, 782664337, 280849253, 557757497, 258752252, 273395281, 837943768, 640775677, 980897341, 187835039, 793105601, 450375397, 532594726, 31138048, 239952940, 691729091, 26966568, 224221330, 1059370985, 66301424, 973461628, 18013629, 366605015, 917646859, 100061317, 950760905, 908077585, 461336797, 481456108, 112719471, 801965774, 585452647, 534550181, 494977584, 531196251, 971254048, 549054276, 213436046, 1065883515, 806005758, 813720121, 153504633, 419466686, 463621880, 645336785, 384625705, 433862733, 536821814, 368999430, 678293449, 378548420, 411528921, 171700410, 566107675, 603446752, 690421826, 390950902, 173317224, 193085170, 812654058, 754944507, 685589777, 1055090949, 1064984261, 945614516, 234314598, 75156121, 83253688, 167791403, 319884212, 945720896, 545772657, 149176208, 221808103, 259141803, 87487113, 15258084, 476055156, 984727085, 644414679, 474493359, 6137579, 535702558, 48797284, 953635042, 975374609, 338547898, 678486812, 893902128, 891809474, 343178908, 922130807, 289698390, 762950224, 827004571, 816022858, 710727518, 197790992, 855451303, 342171535, 783395017, 94386911, 737237001, 422986456, 691244585, 900622621, 549312374, 887038735, 891468981, 420314440, 378330534, 237476228, 643255156, 991032470, 268638503, 854292573, 1049058065, 682784585, 813189699, 449361781, 394669391, 702955520, 601583718, 751382071, 275111789, 298269656, 581627724, 782073873, 26367223, 767965179, 420118147, 309590429, 13804968, 868747849, 553781546, 1002347874, 923390296, 164476647, 1004976599, 777949161, 512506419, 626622261, 399057027, 458179177, 1015504579, 822220555, 282215357, 927328527, 56186055, 223593024, 23799787, 987275267, 657662153, 271298878, 1023461653, 882924196, 374608510, 1031143142, 444333275, 27562312, 558114191, 203178717, 909087523, 328186338, 506604905, 848072377, 25338337, 459010435, 834415346, 179569914, 205145897, 502185039, 800757626, 283341023, 639465878, 790398599, 418098740, 922954034, 808600236, 578109617, 87832988, 53365395, 715075119, 354167448, 777099209, 512284549, 94648119, 239167637, 722172054, 296996122, 65636832, 508450565, 696330758, 119370885, 634662684, 488185129, 422885621, 539595220, 1058148713, 506820518, 809747363, 1013935339, 534840602, 418461036, 1926925, 352783719, 805116918, 83797089, 119784518, 859467441, 545311074, 270267341, 299167921, 837707290, 355944583, 729269626, 101003143, 485473080, 386164259, 171078352, 565105431, 834851193, 1031936268, 668575575, 457387566, 106862462, 135392720, 721550830, 727187529, 457635222, 230187821, 30423279, 238911098, 736143576, 1071097917, 881057270, 213024209, 683142027, 301711033, 666677753, 156602308, 967154586, 448903161, 1058957065, 314005010, 289682917, 54140816, 389505435, 297859297, 887618108, 700367943, 410803607, 241427945, 18811521, 106840963, 916628524, 192992633, 134145192, 608232210, 625065514, 1041103565, 786549865, 919578922, 645871616, 574782220, 765016303, 825862432, 610283770, 918976781, 786954808, 674532644, 770057495, 207331131, 77695545, 875992506, 459135728, 204140341, 953438273, 518728607, 542706851, 298753489, 311410957, 342115557, 329757559, 210139568, 900355533, 485509972, 372477664, 512875264, 280587065, 16598133, 58237189, 505748091, 208669315, 1033140823, 905162784, 841221025, 43719931, 571267058, 755337357, 444128052, 454009072, 594379606, 456958562, 763730397, 385014747, 235395045, 1030463061, 521714987, 779487818, 53900302, 291686141, 124337799, 34787953, 170456676, 194317911, 173908365, 517384070, 145190911, 70467095, 1046035743, 345421144, 222394177, 769216511, 739178509, 250827182, 402674617, 184249604, 479809725, 1047135167, 291022609, 485033015, 571048638, 296190848, 884180412, 116996224, 530800279, 456287710, 495549331, 711597617, 537647503, 100758210, 333820316, 233129983, 825440026, 704333658, 142671401, 815428350, 780366226, 999803625, 891090317, 324327276, 787254148, 347486913, 604234227, 971484504, 1072752032, 467685701, 907903918, 255700277, 133231965, 704958472, 338332331, 36208029, 920808229, 9313569, 1017202169, 247242462, 381237428, 215133408, 1019420114, 1052245512, 570757377, 152954585, 976955925, 685942414, 681221778, 883232761, 195710736, 162931352, 382849227, 361136169, 566104664, 202398654, 51974076, 1064569090, 409658548, 592426440, 397238950, 1006902159, 573552883, 615030537, 680801444, 1010850690, 60468348, 710746610, 806344604, 133572909, 299380856, 13481307, 3517770, 1037534669, 1051379164, 150378767, 852129801, 187112925, 134261079, 384926272, 919180444, 529725853, 292420695, 447377005, 953712672, 1036380247, 109509539, 1049095929, 835001772, 155792085, 826128632, 607132937, 554303669, 801958871, 1013676106, 74748012, 502679986, 808514326, 771188722, 768942397, 484794617, 926595982, 150552643, 722870830, 921509433, 349622380, 983411098, 748188129, 225569229, 113214468, 796856238, 290959120, 974049322, 115373420, 642706203, 141610609, 589024153, 899560397, 639619135, 455194792, 1035634355, 33196390, 1037950938, 33354213, 184838978, 417868290, 755957617, 200362758, 592570346, 762645982, 905204536, 338907791, 700931917, 885707502, 450118032, 505403280, 265633208, 714770236, 224611494, 671252281, 210865431, 356847865, 998394009, 630740913, 106105907, 506646768, 650117781, 845536127, 1019925131, 852416587, 207102872, 749935348, 599906054, 976387798, 138374376, 897143974, 456312810, 210622622, 887725060, 118127556, 1028175793, 32494357, 783866850, 555229930, 786674829, 842749155, 330350299, 685740270, 1028130555, 946121811, 613595979, 41889150, 856685110, 636307933, 761561501, 386545562, 344256656, 462241826, 420409467, 925877016, 805503170, 723019696, 750630901, 1038411894, 906001083, 675639639, 1071253996, 115195225, 755218796, 901859031, 714655217, 506093322, 174568344, 116030451, 929265573, 584338499, 210365247, 965167463, 282378893, 782196273, 363709220, 522672607, 326986006, 868723913, 527363342, 916149468, 678517589, 328922158, 932321966, 277316840, 828463302, 812047436, 843976275, 775943146, 138146996, 78825856, 180106535, 1006214882, 706919986, 848346419, 464661063, 789092456, 827537310, 771491273, 428958770, 875598880, 562011939, 558911117, 756072922, 403947459, 72479719, 152063510, 898891287, 589468143, 441292357, 1007257260, 861628099, 776815784, 131268842, 727782719, 364777070, 448042043, 783315437, 90672570, 326250336, 805377958, 1061382030, 597429845, 671290229, 832987089, 732143037, 862033173, 158354295, 228489332, 361057369, 580217103, 204758633, 136548670, 744849748, 713370925, 550280272, 364745069, 412616520, 922092012, 576344089, 266741590, 294017912, 645165026, 497375170, 322397781, 592110024, 259727000, 4361521, 1022736790, 15771169, 836138460, 17614875, 703007937, 77694368, 1045166579, 955029599, 871507899, 988227220, 951182541, 1071606248, 943561742, 876282780, 921137712, 236438413, 214428506, 648204237, 1053513547, 372121579, 998013139, 982406706, 1006549197, 487437877, 857898497, 363113089, 619114263, 251829393, 659094149, 755617893, 934523634, 28168200, 73132764, 816461664, 706376783, 912510908, 878638251, 23916583, 907464547, 76073212, 106143910, 157230799, 1040229573, 127119223, 402395290, 268721603, 702003434, 133374642, 167098403, 597775497, 678346167, 302267961, 673087449, 579860216, 372642133, 805117748, 612295263, 932098979, 895285086, 983566925, 760248919, 1069817686, 592405689, 665052297, 694649271, 171990152, 862372872, 799626401, 889223014, 927181246, 703528251, 936001778, 974530228, 930581389, 2696788, 159797650, 598778012, 534834083, 595786785, 969567768, 136435505, 530056978, 447242342, 734178233, 180432863, 682045361, 887501191, 428179274, 292805049, 499056626, 336371155, 458048767, 849572455, 25448602, 503085644, 39487694, 142078112, 45780628, 391053279, 419389539, 550859355, 539272016, 319547620, 94360505, 176598659, 926979734, 271375151, 717285956, 973219095, 1002738703, 792807091, 968671279, 535073112, 677368177, 658717029, 435455481, 445980983, 108875424, 453635267, 270118193, 43603659, 818455653, 206461214, 33773819, 944623080, 429153143, 664435462, 551920717, 1016444755, 458588044, 924862898, 471651639, 785591988, 762588172, 840955825, 43871043, 886121623, 84964634, 753509544, 23466322, 35809862, 291767274, 277718802, 721803952, 920763681, 333901468, 856980438, 7594163, 229896934, 480217866, 558157209, 513935441, 788778394, 788919490, 657667463, 553613470, 484539408, 657751368, 1027370850, 1052337697, 991473717, 846449078, 343351363, 43611630, 993600566, 325433339, 955345647, 584876973, 135608817, 939153831, 35106773, 967662264, 145442295, 998936304, 577657138, 928201364, 565625993, 148826063, 224826185, 876298194, 645448560, 692279996, 215641521, 545526972, 477242246, 609036185, 317598484, 802420693, 638995235, 256311248, 480598535, 1015447432, 932288554, 1040254643, 565235990, 311847399, 128745544, 393103014, 721914646, 993206269, 777961162, 774420652, 284807704, 266886936, 507105530, 12470748, 536765480, 439437398, 70124835, 744546657, 606648397, 36594212, 644672230, 497530244, 250151542, 929680452, 43471168, 743786752, 853564635, 34665399, 332537429, 217659958, 159144053, 1002287722, 90373922, 904487494, 96987526, 796481611, 534685123, 637245768, 829839804, 438641241, 50026026, 706509865, 872729076, 236985341, 222635843, 349058791, 418778479, 379265639, 291570719, 68655134, 915694908, 761342328, 518795296, 41660235, 270099615, 938892708, 684030620, 412385457, 838436063, 895739844, 606849231, 495643362, 931801373, 837151898, 559896205, 775556123, 5546835, 92488786, 905783, 375663078, 354438116, 871722368, 145989914, 919498553, 590306012, 619295153, 1007033457, 1031170961, 480713224, 173890535, 344873728, 711893910, 938558957, 653694719, 232231904, 838297675, 609449765, 917400060, 561479107, 208783292, 662064986, 762105366, 1016936260, 952416766, 1040267881, 18958246, 834362888, 428852519, 531437662, 439173076, 1052277824, 10302573, 63107164, 607580733, 1052051522, 166185131, 435367840, 516939337, 1053048161, 164509812, 691940420, 537847763, 166516960, 653634212, 504066491, 325605260, 534631772, 646604816, 683633264, 966363397, 8143525, 508161882, 134244299, 707741062, 942840794, 821907527, 1003342786, 216518257, 325549349, 981998924, 281833411, 807165331, 886130372, 884272248, 620881594, 512941457, 70318584, 505313098, 590426954, 223767836, 446568043, 417038728, 77538267, 735161218, 975126722, 996077956, 49935313, 60297066, 830502108, 245035563, 799707860, 184564453, 708141583, 27798055, 927330558, 778522896, 425145192, 717612342, 80059691, 612223035, 863205377, 715458913, 223734359, 274846260, 294422032, 551818222, 345949270, 156490858, 873509848, 758768839, 603629293, 50197176, 271372882, 711814093, 319145973, 640468358, 632926874, 59773073, 735505981, 269261719, 659453014, 374063225, 452343097, 99741817, 186663966, 416433800, 959295035, 819717032, 880713836, 801501575, 761561745, 212381961, 970206606, 742620117, 683060379, 967780176, 699804530, 1012012101, 794940911, 775246413, 929715462, 320155395, 711469480, 32137909, 833461346, 518397384, 617575012, 796374461, 265017371, 91057595, 107148586, 896464321, 539926627, 123344542, 109836006, 383889747, 219125775, 750711205, 236643188, 108395901, 887796185, 178932214, 162726574, 1020411850, 668446482, 798767000, 548996526, 851415476, 557820452, 529371625, 416004096, 1001281346, 448820802, 577802448, 1073137962, 296409954, 314705779, 525575664, 984472125, 170207964, 671334674, 421525417, 169160561, 682843872, 889895775, 786236, 693671763, 892543212, 813844201, 159503586, 110286113, 326764099, 194614420, 351935395, 279730914, 412673024, 836518108, 497895494, 263710619, 200411603, 906156448, 130985949, 150283061, 292080802, 632740665, 241606525, 1020258838, 266733065, 1027450765, 422057588, 903491029, 53281922, 433848770, 541111736, 759391302, 990635893, 1024368902, 803066812, 307207869, 912702511, 106943549, 75736412, 815501553, 998722314, 355735104, 992757564, 515819493, 847178691, 869986198, 909034482, 328545775, 513479136, 257716785, 680754573, 278547877, 500552585, 1021787252, 656638175, 781712342, 847572354, 919646399, 241346006, 539389993, 532694929, 396104834, 1024228348, 940467009, 671161705, 665640384, 382190731, 580434425, 12407200, 265645449, 1072145412, 57083040, 352965723, 896639233, 987077341, 966176770, 222691469, 350992712, 851108609, 878654204, 465443932, 654347075, 683731752, 673803355, 163965330, 544416754, 692468557, 576341057, 242437230, 231107478, 284505609, 247754048, 78886255, 801734266, 377918829, 649109182, 458728210, 683917665, 459034549, 824148026, 481545522, 600630369, 9587573, 948659808, 645882764, 1011276122, 1023727270, 739958790, 405550563, 493260648, 504470601, 228602250, 62559097, 441076125, 904581516, 845255725, 417066153, 1004766891, 596596310, 720132112, 27858197, 572742342, 581536947, 33643770, 847838233, 72326859, 183651314, 274566943, 732149112, 594546162, 989060948, 374917569, 296539980, 258281211, 1057493460, 120521796, 648560960, 253034840, 344692333, 513109985, 196068948, 863491488, 237609545, 727105900, 1067273741, 416539780, 555119363, 983486362, 755363679, 166773701, 327501880, 329171802, 276192001, 704770805, 875056165, 853070922, 108782913, 342494811, 473927359, 413032478, 943573287, 776299720, 321254582, 880728820, 457840666, 679583175, 380843167, 942846187, 703773130, 213673010, 33098686, 357468551, 1026008330, 328795538, 626254112, 909382898, 111991741, 902326175, 342417869, 609659006, 106510968, 45364883, 651003366, 281355070, 594187627, 278364647, 184464316, 187201019, 1032339347, 370459961, 204122375, 719265004, 149814259, 921750533, 15450399, 109526525, 405019511, 46734402, 354503533, 930352655, 1066215984, 470504961, 364213130, 719085633, 342000476, 266350654, 787056151, 1060314798, 534005591, 102253947, 365614573, 577943389, 123211770, 166268691, 258500163, 53866902, 574795435, 1022939458, 521010063, 1035122158, 223665413, 429925896, 604892312, 732859896, 35851383, 170595866, 488549418, 314622047, 526492792, 782612094, 537426709, 721838206, 623806058, 808262522, 149566521, 165189255, 903404682, 635756991, 537196760, 266987691, 884436941, 742719767, 873709979, 484880529, 1013694745, 289634883, 189619359, 549697992, 206440037, 514761359, 778636577, 243141078, 604405136, 1068107400, 271114835, 796715144, 20155238, 917017583, 771654305, 715921984, 552261206, 78646574, 1054920825, 198730091, 309694443, 113594789, 248052480, 900833559, 139988755, 872174346, 827039449, 95370281, 350020118, 928086083, 596245840, 844663880, 642487543, 150069550, 341510335, 764443471, 185636360, 220880687, 92105336, 934064473, 844602367, 317368946, 332679393, 733896692, 32890827, 677629303, 49011132, 784354494, 86841133, 120757253, 735669703, 830215381, 910714388, 309043829, 831946222, 408582054, 451110953, 390508349, 638738453, 852435136, 457460545, 913638982, 748454640, 300317776, 1042941226, 184251733, 692414572, 935077733, 752778561, 576905377, 530500687, 90377798, 682538060, 927568593, 882523530, 933779999, 498956053, 392254912, 1037864959, 867590843, 113612570, 704059520, 562183442, 638584205, 418280550, 273498877, 281712644, 44725384, 166954497, 760455912, 32400347, 844790990, 64644606, 692179273, 166481926, 877526522, 153367661, 279102045, 896801709, 322730921, 612720707, 223842686, 762485526, 602405669, 669411044, 947310304, 407796464, 642509773, 1052172054, 887352737, 646275363, 415746386, 565585839, 377701032, 114600712, 717441915, 318745638, 136415733, 163580107, 644928283, 163804670, 470944085, 879466543, 212632339, 860960979, 1009540162, 446609509, 200669542, 13332672, 923755342, 362139650, 460898527, 336920104, 468228042, 477596551, 904706878, 34501124, 809233007, 51877026, 525168908, 190170379, 17468395, 478980493, 534856948, 997314876, 354950200, 501063042, 199303055, 109324769, 831382566, 612491000, 351638979, 412709881, 405896136, 465500856, 155643225, 209072113, 471508081, 836214730, 778395715, 225769519, 739445157, 932348524, 592938119, 96337921, 582600945, 995308788, 575981036, 238426371, 11058411, 327703323, 711560310, 55337111, 265847186, 35110959, 1062076376, 606271944, 878235448, 150267950, 453667014, 597400362, 505922147, 417937699, 841317498, 704208986, 237888441, 755163602, 10301707, 737476596, 239311980, 555403024, 624405528, 989560291, 305213871, 125276377, 610905728, 200734036, 663284152, 411762837, 280682360, 692981372, 758391837, 123522929, 491687338, 949309120, 501698152, 892940219, 1041155317, 911231113, 1019282115, 4780466, 860826278, 1025143445, 996370534, 169344673, 575360243, 269295135, 963347771, 87779680, 419735429, 93653371, 114278358, 376535854, 652554497, 524446859, 278641608, 173032047, 916337048, 753565136, 733100705, 267771861, 469902596, 96754607, 547713656, 742176183, 1025866153, 28509349, 600273283, 565754446, 676789164, 957434786, 202583753, 72047464, 333710915, 665505699, 177347107, 919504208, 301776566, 806263685, 525303181, 910647044, 761927635, 969083137, 347485014, 174674990, 233549350, 551763089, 90424623, 124713836, 757270587, 171304734, 391970179, 669248359, 1033236574, 430878697, 482845908, 471616795, 26905921, 885902180, 769812101, 941921971, 934651529, 543787469, 730802374, 114854984, 427882648, 849545139, 1011009843, 964262374, 475500741, 176889237, 1034944792, 86445603, 133902493, 933280866, 833465448, 961809673, 329229372, 632779191, 109579664, 452278514, 257160433, 420078738, 701986737, 765221476, 22174933, 422535670, 814180731, 655879235, 135278953, 835041723, 67868804, 216788046, 686857959, 914469300, 625712475, 205240898, 103424978, 872361544, 135047097, 1000970971, 124066913, 531062610, 608969773, 874773900, 749376803, 724862350, 640625306, 1057650166, 564134489, 386700075, 848974830, 162024239, 188509059, 176802103, 653034098, 220425134, 880050151, 860696117, 222347098, 1059449759, 799599372, 823327879, 450416770, 324192278, 174936747, 499792338, 891255315, 379252512, 770810171, 1051619971, 161632597, 518431638, 55991230, 371180607, 738633290, 930385816, 27694826, 659890289, 322094626, 610907315, 703292077, 923035323, 99353053, 423367149, 627211476, 123261903, 863610309, 263830033, 989235189, 265723791, 123479357, 528570855, 173275910, 300685684, 921864857, 108341052, 396552630, 674513912, 256262141, 838986257, 667993059, 800085797, 788848748, 644229078, 76984201, 362750181, 915312463, 406324156, 53352833, 421538580, 407981089, 391839174, 262698648, 913106306, 939877682, 704193113, 939781646, 268299252, 50144149, 664283896, 920158123, 794397896, 415746719, 501836918, 845085601, 114376782, 771429076, 98069740, 1018672047, 425380180, 745015335, 620535828, 122053014, 579007860, 153250778, 567292728, 909224753, 179858001, 1026542486, 605891073, 542662865, 1001938969, 938125930, 899283402, 680005617, 349883448, 817378021, 760451874, 163567429, 813836826, 177162321, 403876822, 1063451375, 415273088, 841982241, 634148580, 625466290, 556355453, 855237778, 1061186151, 567302381, 179204259, 591951518, 238722049, 725169467, 911714517, 689529328, 1003997749, 825476298, 767505585, 392480061, 901932502, 1057071382, 811255116, 910183478, 520186940, 385816457, 192201960, 595797706, 75349671, 203910057, 903922064, 537510302, 1042833649, 927751397, 99524900, 778519089, 852432556, 702202148, 166778240, 683278060, 918837285, 255520867, 392670529, 374355008, 835031268, 290525331, 748951212, 995622749, 939968943, 162230572, 406781841, 899756607, 983192418, 878557237, 336276935, 1044413736, 18228772, 651363429, 1008148591, 1037779459, 808655691, 294096753, 487825138, 870987559, 220991913, 8916417, 311383475, 714608332, 423388904, 103145574, 385628312, 942974419, 270278218, 132208883, 1072922153, 590359672, 863314533, 1022957351, 500926495, 273817018, 674047269, 793948505, 624355179, 911246165, 21321865, 844485983, 996786409, 45138615, 337026578, 995263156, 823063506, 531858662, 991119556, 560651550, 967777466, 630015071, 822686318, 836230690, 953839023, 869103686, 101472123, 903818135, 692430398, 864771072, 551157039, 974460896, 1041234619, 690614369, 794105410, 1034405436, 547958046, 764536867, 301666258, 761552632, 643731826, 26898501, 143121535, 859426340, 1058040137, 258054528, 147506653, 873438110, 128147755, 310562164, 966894199, 924091712, 701329848, 732432552, 284715349, 556379237, 14719111, 918168363, 38726417, 300209241, 726881965, 1023174912, 1007286373, 794447680, 415359488, 990957529, 721813645, 681491905, 195697408, 721676550, 757383449, 718832886, 103869775, 98179096, 577757307, 822070481, 923395478, 204050299, 802694774, 113570160, 491900758, 704538507, 621026472, 83491372, 276395894, 497009159, 903396369, 258761703, 513985931, 577518959, 1029812490, 433722404, 881249824, 186316440, 972279632, 340635566, 518134460, 18815675, 233411846, 269002373, 326910572, 541315800, 217784595, 931789984, 438544540, 490526455, 198814321, 130890174, 773867813, 100565141, 1032716258, 612273915, 1045033102, 336514145, 483018217, 111699482, 875786331, 314962235, 620137336, 838564201, 823228570, 476442383, 261064987, 231188078, 645501010, 265948241, 701333060, 999442881, 662620110, 961474677, 668539349, 973592564, 755688263, 818034956, 608531016, 655244463, 71007047, 594650734, 958162122, 570952051, 411886739, 782764269, 507725385, 148947408, 647985823, 108853796, 240456525, 212915268, 757742466, 905956239, 245055507, 968865534, 669841128, 850751337, 233549383, 771234412, 463780203, 958746726, 205650008, 389526551, 1046978480, 689357092, 606391268, 269088727, 337530752, 748469582, 101359941, 797238082, 1068302529, 17531, 49340419, 294442892, 754049934, 732176558, 583466480, 581129587, 49399686, 234648152, 1061740162, 875155428, 868609265, 505824668, 92086537, 936885195, 448271590, 252045510, 158752759, 161588485, 750388445, 74873002, 228961422, 509018237, 427293399, 989574777, 240275431, 102061856, 20357175, 372101144, 1070106446, 246529937, 380286079, 76107763, 285504048, 45615241, 622899159, 256373331, 931753146, 928372083, 393920675, 727296294, 237227921, 266372206, 142810464, 729357274, 195517555, 205887541, 506400135, 294138421, 323736394, 402378794, 978050648, 31700502, 831433433, 187617063, 240536443, 336637763, 657539856, 368319514, 920626234, 97506816, 581330755, 803585762, 841938153, 577744357, 966620381, 460927650, 375824740, 143278945, 772817162, 890780964, 561227907, 981363250, 231602897, 241219104, 492298957, 897029536, 235767017, 42057694, 765750928, 677752653, 661242929, 1046746657, 891268165, 965483242, 822903521, 432579198, 720446027, 127149584, 987852890, 807002580, 985797847, 684318813, 137993974, 63923790, 271570131, 117120799, 668488591, 386953721, 636308812, 339651386, 90001944, 888867995, 930203903, 261094838, 601287089, 176149061, 743396463, 1030783051, 219876510, 707417161, 940549890, 160999127, 426276004, 558358906, 51315185, 846491395, 651397486, 722043564, 225163958, 36836235, 446853677, 826989046, 304382799, 133532201, 1021350366, 29932223, 522967203, 345248101, 265532737, 953475741, 174113362, 515348617, 1061798133, 387938195, 944690610, 702584790, 528174614, 778825104, 1005262374, 919282228, 696514144, 570303747, 1052665701, 1004774214, 631067657, 950174940, 785085852, 97572277, 1066850739, 1058483442, 561128666, 403282719, 393469341, 690339490, 973583186, 862580479, 1041778207, 1018745129, 201353575, 242225645, 1053346435, 1030786448, 785879837, 69006903, 770180798, 319810206, 197249572, 92728839, 384436428, 384881635, 549856251, 612116115, 998513243, 216873999, 8287980, 178698344, 881401747, 1035230687, 429953767, 77894327, 280381024, 866655006, 744949514, 146379368, 627606756, 747432775, 600315066, 933447433, 36565859, 688887219, 964279697, 257701191, 817694817, 97336559, 1062538804, 461956252, 747000141, 877736072, 666117057, 340499182, 53980318, 832128276, 944513995, 639549190, 208251582, 769361788, 1042403811, 433449807, 680040086, 100872537, 474592911, 584656522, 452920356, 491819943, 1021336419, 167766120, 460393577, 190725792, 887504377, 298610833, 638562247, 757795097, 328508288, 603287017, 743055233, 940883200, 774426973, 771673837, 47998712, 351989031, 103694389, 115377230, 821212188, 1033057388, 41059185, 354524229, 791817312, 1067917064, 131081599, 732150799, 321612793, 169106485, 730866809, 59876930, 181787815, 178456494, 1005401129, 912447153, 182307011, 684329887, 1047871039, 278739577, 331192184, 694009625, 686332716, 216548195, 133129611, 623792972, 603718843, 27988037, 877971834, 528015642, 809747287, 622170422, 354295624, 646019814, 856954389, 631094284, 747800876, 743386887, 195316887, 432403006, 41036234, 130675708, 748731707, 404379480, 365607596, 391180163, 796297211, 626546438, 254235250, 226335640, 997795921, 863062962, 452569335, 213648079, 204060039, 111674429, 219685091, 985119097, 587898026, 675193730, 678282200, 107482724, 529890363, 669825397, 830755692, 477568384, 535325478, 350733945, 594509491, 538827934, 292863721, 524173496, 124514593, 684835220, 436017499, 200915767, 370981220, 498921893, 16222200, 45324345, 266505771, 589369168, 512779924, 82469523, 159112796, 754218717, 648566399, 461558265, 304155412, 174884377, 215270907, 39202561, 715562600, 172881227, 393507960, 537238038, 371129331, 844332125, 712721444, 586650185, 260790548, 903819820, 787953734, 1053193081, 504426267, 167130533, 810248555, 64018193, 263174107, 563018182, 694882427, 711171991, 346672183, 303315835, 925936120, 1026568283, 618958684, 340215632, 529693642, 844648395, 449074959, 547294945, 426270002, 309178930, 301963608, 333568162, 17636010, 352566489, 567402404, 641009201, 48082415, 240932984, 207842411, 326196744, 834467725, 106268869, 786372811, 823177307, 471469659, 31211253, 514002876, 862973842, 794249803, 218804188, 304267901, 1029717632, 615447936, 365043242, 500858891, 41441860, 36202063, 110482534, 998820577, 839939036, 610925920, 235323831, 553740228, 990780133, 525380738, 377270246, 360497588, 476015250, 1035791076, 576513931, 907293155, 1053862775, 842376023, 806243073, 128733087, 872102216, 889771375, 896862867, 362387684, 326252179, 700846694, 372658334, 1026717065, 500447531, 10083675, 587135643, 391116001, 54879382, 61126194, 957522764, 621715390, 758130571, 780945231, 915149112, 324377758, 20908778, 860112583, 712230849, 551839436, 455056128, 509669013, 440520305, 940495441, 662848838, 176437245, 296415268, 543774669, 264215885, 798218785, 1067247974, 411232646, 748466111, 867688481, 648070937, 217216380, 882306167, 335951350, 669001374, 79654391, 519045778, 1053621199, 116189962, 158165023, 414201044, 86652621, 721029436, 216853133, 353852749, 935776493, 677678304, 23369388, 210391551, 25022562, 531976331, 611572215, 991534468, 41086119, 750046585, 717971549, 98076603, 490698376, 72354232, 511352126, 572926047, 244596578, 391990159, 793668444, 814166363, 506376336, 600550878, 368721982, 849989780, 492375988, 610039332, 370634144, 101039534, 310459146, 394504428, 282434276, 1050715825, 1069724901, 297607498, 28522549, 644814431, 206406307, 596458313, 946319867, 560861367, 695048883, 921928587, 379991140, 718023805, 1066525510, 128957731, 405970357, 615609740, 739237960, 80620228, 58048813, 199551044, 441287477, 1001907373, 536539065, 478185494, 109054317, 1034695377, 1028696234, 23582463, 111359568, 119665684, 199301902, 579120808, 674869805, 341858018, 516548522, 894450967, 522631992, 1003124789, 105848206, 412878005, 906428150, 653685402, 655196919, 91329171, 465395165, 987316063, 1027862973, 829585829, 746566654, 866860500, 445460072, 1066008730, 87010138, 220127009, 545774383, 703002727, 720258873, 565749599, 317814843, 175235414, 389884726, 889299105, 54117382, 131116229, 986232411, 920829305, 27913393, 377404208, 1067196042, 790364482, 232584086, 685560837, 707414156, 251587728, 103220769, 820477492, 53759249, 682655117, 677025747, 845289939, 53911174, 650541393, 839217776, 41389763, 162884043, 467551449, 492792112, 866579400, 235104588, 389933865, 946246051, 534397769, 866201323, 233887223, 781357369, 351926957, 1015506698, 276227461, 372191233, 1013891119, 363176389, 301047808, 435796891, 809434095, 852628274, 982514523, 33368698, 564746020, 630757562, 52740812, 11466566, 86940235, 629083207, 30549324, 551678489, 224889461, 858077283, 308151083, 736693249, 83652144, 367734829, 1054630789, 101801748, 861335456, 553257304, 659822521, 504715886, 889680931, 133261958, 872471307, 874251543, 398333516, 251524158, 836745783, 264891583, 417012250, 1017982553, 813617772, 1062181173, 379410033, 321283312, 592466360, 621384136, 607999553, 1067060904, 495512971, 206574067, 92921252, 605283163, 597946505, 116949529, 966871398, 152896476, 591619526, 917559488, 1007999575, 898913094, 201526572, 190403519, 170540480, 655106259, 87606301, 1053822571, 560018783, 844940352, 475329824, 691021177, 402304367, 612772871, 463588907, 326481935, 677858564, 445459861, 255055535, 102871307, 626091547, 941491687, 35479742, 1018915812, 6151476, 303626657, 919341550, 354622323, 461028769, 802486104, 260733058, 743095534, 831214275, 893860434, 1063799422, 629124960, 598347433, 1015237349, 746704752, 665025326, 6602492, 508111434, 967414975, 697468108, 428859905, 831737075, 392935106, 240388034, 651512757, 26817991, 277684297, 825814925, 224021219, 612111785, 325126363, 184332525, 261253676, 80976231, 38657276, 785112225, 174347450, 319276391, 417807040, 568820993, 280525355, 847244955, 620227915, 428125939, 121321298, 86624809, 106633643, 967442058, 137749006, 726890000, 100819722, 80015512, 778167248, 393456498, 446561116, 117291220, 143395782, 777189485, 580931901, 290997958, 388843843, 461880388, 253951732, 148646991, 975318690, 330268930, 671128989, 176875760, 707888246, 702115697, 323854232, 315447760, 522096994, 83689945, 675168870, 121243876, 348510287, 87830393, 170583979, 1064269888, 355335191, 624602004, 9708875, 993050980, 867418014, 234771879, 223769088, 614128351, 233583310, 7057281, 198306204, 548761036, 245187005, 1018792170, 500613235, 343290865, 388740728, 650221540, 346347858, 307476236, 425696313, 702513493, 366937118, 319429798, 480745829, 838121383, 648899275, 661751082, 51059790, 817508405, 355837251, 361799859, 797773287, 926760281, 638177057, 999599143, 318575112, 866663458, 64431502, 668804523, 628903110, 564280421, 851735178, 218921481, 1019045622, 1051260019, 809735716, 613536768, 496646055, 346431505, 677693702, 883188519, 913433289, 521446561, 561060439, 299849892, 706022513, 909591625, 867207595, 782739008, 507873127, 17477479, 905948822, 293064406, 960038309, 532017737, 5238690, 5452038, 889737252, 794778831, 252056435, 311950857, 903681464, 650232685, 509440728, 125049700, 1009217974, 453575211, 16360419, 800982405, 862840674, 869945689, 1011588177, 832094851, 331335331, 235813727, 295789135, 627749847, 575848695, 708801640, 815993675, 81106648, 380967524, 174098297, 265167706, 608758491, 671569646, 851550217, 538973235, 381518908, 511687520, 866804066, 185533251, 200529030, 483228542, 87501137, 444083645, 218415970, 712316430, 514984347, 56095302, 312636703, 908771312, 569766811, 5372197, 924879501, 394160378, 979672419, 612124168, 309798171, 1045373382, 517277464, 398501394, 679988684, 112142280, 966695157, 991814389, 657586222, 593582242, 293077894, 334410358, 257034463, 390382617, 418329826, 688566660, 372362121, 983404475, 558196218, 971944743, 177924218, 673004419, 918245354, 427705539, 401085400, 148086414, 497391751, 658183169, 757189695, 833941499, 528585011, 1034447023, 442152471, 767508554, 513902810, 927251134, 774290114, 226789797, 1002590287, 829763828, 145495746, 97899899, 820327511, 633206244, 265239237, 89988147, 902392734, 86068233, 649108456, 177251983, 342341522, 415729576, 87893539, 18649924, 819466110, 178354885, 668330220, 513651982, 512976339, 618982659, 243570882, 210356741, 200720509, 76377830, 970476583, 740682623, 811160285, 268061578, 288151239, 471424915, 693410215, 702422219, 557377751, 566121204, 611242003, 249619544, 846134210, 818142038, 770208026, 62759749, 232752090, 344951322, 1011372202, 202366382, 107069502, 244084371, 128674513, 730803790, 22670629, 292713574, 381785605, 839818795, 1002002922, 785779899, 781691437, 792981597, 986778236, 429124282, 414905059, 761791767, 428836115, 979708106, 108647999, 307611448, 509165466, 283499403, 10150709, 1024727258, 540523114, 939262084, 664860063, 903339591, 1003326880, 743615503, 132649563, 859352689, 628726389, 525873608, 37923316, 1027331076, 987615471, 436346181, 674604730, 1001954105, 689111432, 366599608, 452037167, 249709539, 728316573, 582079213, 1025770193, 433262823, 389671449, 69185483, 1000358331, 70114535, 578055497, 225000233, 2867820, 316342555, 950902918, 895867936, 749165541, 197498699, 270531943, 96115468, 904070957, 1034251708, 397659927, 932236308, 693898714, 589546056, 5967840, 783384076, 493010488, 918186536, 227451232, 1021566252, 851190991, 200723209, 468207480, 783301177, 951339610, 450734691, 882642874, 777173256, 799465522, 467556995, 182273528, 636923116, 402423731, 945241731, 957996095, 401885138, 628240471, 275326821, 521110088, 126214067, 511780228, 553094614, 744060991, 954528272, 758113942, 430564447, 628099436, 151544127, 323838863, 43025612, 361802278, 237015835, 905744566, 496134528, 56348176, 379510221, 983704700, 304376797, 384929367, 607548837, 803764723, 228365524, 481563956, 764540654, 981834419, 894701344, 444018556, 868086186, 380945748, 450633355, 902328819, 449779580, 762020708, 1060999390, 391723721, 356085370, 368411152, 496527010, 1064792535, 998943924, 164144270, 98330094, 728130323, 317342891, 937606275, 995306186, 597522725, 1053108988, 904889331, 213252512, 117281021, 428787894, 662795167, 177060836, 523733207, 870995636, 950961609, 851993315, 125455734, 81675396, 643529766, 652389891, 982993835, 742093594, 732560274, 984586469, 747834195, 315010709, 803660437, 941550471, 1017571440, 321331832, 477099244, 197602657, 172760478, 1017814144, 747217731, 524267869, 658002568, 283395464, 402328154, 746272602, 715931648, 299665508, 924760256, 957347132, 244555141, 3794213, 35878667, 834634807, 581564316, 952891292, 62100845, 506939148, 186363306, 340751375, 699692566, 129283135, 420705224, 281113777, 378367364, 709588818, 940232824, 612560912, 884227451, 289088991, 296674949, 403852038, 1024996008, 185657292, 609048766, 255272158, 186986372, 243574357, 470378750, 564329416, 155190529, 651542511, 576135757, 894761378, 331832352, 356023433, 657846679, 751182954, 854515039, 238111029, 963280373, 114332401, 787045787, 435043138, 915299017, 464432908, 147083893, 584711737, 788262080, 341564298, 623556688, 10696823, 272175324, 700793269, 9444737, 285419603, 288133166, 1036529717, 718256380, 1029886321, 674118260, 855574135, 305790912, 378853983, 637116203, 307243781, 419587358, 152014027, 923428999, 913115600, 567439061, 972743807, 594848262, 969196136, 746065645, 928377688, 582493170, 989191750, 383635953, 781787894, 1023929465, 532170640, 691090296, 987211877, 137340528, 545867361, 33855451, 229841265, 564906939, 227203856, 240039369, 237904174, 113981728, 468518399, 672112074, 274105444, 350770539, 420514463, 666692056, 490472900, 148878997, 832427789, 85696374, 40206257, 92216680, 789751409, 969212656, 974791273, 646624517, 854639613, 270165647, 1024393136, 519709538, 992810716, 842704243, 801789102, 746295564, 698533852, 982651894, 489356924, 1030350525, 829726701, 880957429, 8892795, 219058482, 647225753, 830349401, 434900306, 406259022, 97746814, 529463146, 744946697, 364365796, 320331036, 642419168, 31261607, 962869898, 785345551, 390783324, 37167998, 875960692, 189260561, 969893415, 701844466, 624415583, 67671885, 517443526, 380693467, 559226595, 289854045, 704372155, 634613759, 762808467, 180533596, 406445962, 360901320, 577453603, 1001281957, 580614647, 407184951, 642902198, 782547924, 122712826, 293969639, 942568071, 927658901, 999684981, 281630519, 451888648, 1026689575, 957014982, 118694979, 1021516378, 426119188, 1042740168, 379239, 127431283, 956270448, 850284107, 8498978, 995886561, 953970583, 675484158, 432624256, 974770911, 359439648, 441358109, 780306809, 720619155, 319211016, 167664005, 920236963, 221900659, 937953985, 787172187, 27798524, 1035717871, 981856654, 596791412, 450813088, 456273249, 248976110, 286838696, 795684998, 901984898, 490818265, 554943980, 1005666596, 599984279, 355902475, 841269572, 569225404, 391890038, 1068676901, 151244537, 443169904, 1007117496, 243087502, 810997628, 192230369, 963495744, 441309909, 205752784, 92958861, 5192866, 792145535, 171816173, 934151508, 136720282, 908909614, 578173093, 723340384, 288690764, 178563845, 843421359, 149689847, 155760356, 561398849, 179458884, 657047294, 597150764, 1069464815, 277905915, 979357184, 905042830, 138629930, 920493743, 444334452, 948220055, 468381359, 738194040, 996013252, 464563162, 1021050058, 52783381, 964277720, 455432608, 722423246, 230186233, 947200498, 840358990, 264536986, 844285523, 765308900, 360522255, 1054557022, 839545804, 414074041, 364397391, 535142256, 251227548, 485965193, 436729285, 556465165, 676365876, 98772347, 506674907, 611048118, 706896665, 778366342, 578128550, 1014631315, 28146619, 597553269, 692329506, 467229830, 638517299, 94860128, 365445028, 130932796, 1004643480, 960438204, 284434633, 930053070, 1054013242, 12356821, 780978057, 994640793, 183016095, 346204181, 251300456, 98873429, 579763292, 900640501, 168072654, 698303526, 470614101, 366194559, 553226149, 396575013, 489518839, 950552208, 248715499, 1023042842, 992816519, 395753399, 445853998, 226792573, 485334426, 950364535, 534617276, 798878910, 147666983, 327854307, 788544477, 284250682, 1048660920, 100727880, 257800947, 90303675, 230168458, 669929860, 203232224, 893304736, 671648620, 996554884, 1011138041, 85394644, 180680891, 959489014, 1028154380, 993827094, 959954328, 557293924, 617249644, 120340328, 89262592, 504703323, 861911103, 977321011, 940006781, 367726402, 486467258, 1059767287, 601372761, 464481028, 270114899, 360238886, 1045707423, 194585808, 976664828, 192833962, 817592945, 24995959, 621688719, 304346099, 376126543, 536523005, 73855370, 659659863, 48019041, 140088510, 977928520, 836501653, 749336626, 831971019, 582368203, 575686579, 241944810, 43908039, 893137338, 715512545, 927689385, 62789792, 1001372804, 85658285, 530646099, 592210686, 1050322003, 25176975, 603790621, 502580987, 946737520, 1044348227, 317290091, 39395046, 179922093, 254866067, 50475615, 65940587, 271800090, 56230305, 413952152, 962665081, 568885716, 795198740, 929928355, 395886351, 714588507, 825084080, 209261799, 109945853, 59851554, 346948609, 64286903, 780072569, 1031961534, 299167570, 912841635, 108762132, 173048099, 464057351, 991692356, 591236991, 444295384, 321167757, 7636481, 73388614, 36942687, 672265478, 732690248, 677304858, 1060637791, 332070676, 562228415, 634650136, 162056081, 1072932816, 392957392, 89343756, 464821566, 646854463, 461987612, 55899217, 194661597, 90994634, 600586726, 672456505, 102526949, 736380242, 495597683, 791149759, 213037123, 434427793, 317880996, 697726452, 701399901, 736005220, 391674943, 34494478, 93652657, 586656658, 556860458, 906456653, 89678636, 992013111, 918449411, 825316716, 181460650, 890585842, 436684929, 543866580, 387569905, 736147205, 350517388, 644014110, 908227308, 189411152, 1006957976, 324364825, 723631772, 967157882, 141121036, 376614617, 86369469, 726028945, 838619109, 1061726962, 522643560, 822252448, 660192387, 428597171, 536954517, 824998857, 562100323, 607286941, 44324213, 997285066, 1062294506, 856563583, 460275632, 884788577, 893999767, 569080305, 330804409, 1028489066, 1065640758, 118948797, 309597019, 899769815, 601837456, 92059231, 196344096, 503122881, 948694820, 165581256, 835615456, 818380370, 321708163, 464833627, 254064585, 508605989, 928861580, 611738238, 515456554, 655402165, 232017700, 510149316, 990008218, 872820982, 404203915, 963563119, 941972939, 917634746, 908380643, 512342887, 6196218, 691739510, 833820330, 676172922, 561453347, 416853858, 555450371, 482451263, 429794921, 117376407, 865325597, 5777068, 521313864, 314214213, 568454254, 845497945, 297862123, 142989361, 790061683, 331940198, 298034008, 455582410, 614232788, 95791394, 391050731, 370233432, 186965921, 28933233, 143284474, 1005056153, 639808592, 214226057, 1022716801, 966340086, 1012143393, 730445451, 68353832, 167973352, 983267580, 448545428, 170991671, 1038619795, 699219380, 97380251, 783587118, 385487388, 553770048, 807132801, 244221226, 526393226, 541749168, 503619898, 270195512, 896322560, 103956737, 390874821, 731324873, 597196399, 815801039, 64845804, 448241537, 664969574, 497613247, 387342881, 612845614, 859380923, 14512847, 858078853, 498389805, 935696048, 888479085, 774806267, 344920043, 590758520, 817133433, 543353876, 996965962, 895320317, 732696952, 134565902, 799163161, 298827245, 909370254, 44432368, 34207301, 700241090, 555812066, 537550116, 404203590, 446639962, 686890127, 45124731, 330901147, 997057970, 796310556, 603385426, 177365729, 997578959, 361040786, 148729487, 391663153, 146869785, 299624800, 801825590, 755106939, 355625742, 27177863, 972870313, 78158194, 431171396, 112848886, 271772216, 47490740, 733320167, 812357099, 40170364, 1054804455, 1025559678, 732332838, 270985116, 267671822, 384762563, 744776195, 23134984, 706925312, 416555799, 712332067, 163041989, 767959189, 902650196, 109603503, 669612303, 718771583, 677328659, 902542565, 892971840, 760839665, 446475634, 188603304, 348214466, 467212811, 947411320, 1033995916, 54413834, 922301349, 271573178, 992361485, 96203621, 684953019, 404619743, 7779370, 408256130, 822277765, 489966780, 983270660, 882162227, 23027136, 394851599, 401046702, 747293703, 564078349, 413218837, 413632817, 353721453, 500149955, 316527657, 1020671317, 512185540, 805012916, 518953232, 423017260, 839194671, 74539958, 495476260, 1010994354, 588229620, 757334926, 406597838, 283931084, 865711827, 16172946, 136917253, 640597370, 517978640, 641369295, 382346380, 416496413, 60149957, 291414851, 948547894, 81165460, 655816608, 26603448, 429968793, 584420396, 650758677, 249588626, 1027241663, 771947401, 454768787, 1073574807, 531876928, 952215823, 649750816, 791883339, 532514427, 451500173, 390409897, 651230962, 279707291, 968927516, 210297933, 930024456, 199657242, 94828346, 216623952, 225995851, 271966777, 738939870, 1007002296, 354484130, 504626292, 813410211, 956898929, 35937411, 10888531, 544570567, 857073203, 647375320, 974519466, 13504214, 64782135, 444410642, 4169045, 610140778, 556519858, 897045891, 185978869, 972961640, 930429797, 734970138, 849759676, 788244324, 736637723, 725334125, 274044457, 157693183, 338516672, 831525059, 168562228, 718149571, 878759211, 5514381, 352379991, 647970229, 584290761, 48228251, 940866180, 194577033, 672249841, 354744316, 459993223, 386410675, 311723654, 742871277, 857306411, 752564054, 592813765, 682880793, 9203063, 18208436, 642350171, 740441410, 743891768, 1058608928, 556218884, 867383226, 718790866, 759253257, 449812148, 601486549, 184511435, 442177150, 255725265, 550044256, 122049227, 373180430, 289039201, 107287837, 689337754, 182155787, 550364999, 975662516, 398638003, 13321128, 198707766, 852163582, 712572414, 89839185, 324478655, 547971042, 812812033, 1070853452, 562292931, 128586934, 869505569, 688460780, 678404811, 538409558, 448890934, 535384434, 43377595, 46136795, 732258897, 997648913, 608999755, 720149239, 707894175, 123259437, 375316057, 621844234, 697131625, 235144, 348597617, 267219555, 407399237, 586257017, 423996694, 351994104, 291476612, 354030242, 741676367, 247792653, 796745105, 1058340614, 762473771, 113043051, 3181074, 841434651, 898039245, 694017890, 169611135, 725303829, 266677936, 883711719, 89387952, 886989276, 510381622, 57817588, 707008508, 653430716, 228055076, 437265491, 507569993, 712022255, 530558783, 256608811, 7254525, 38587743, 829400486, 117678293, 220062193, 981289335, 261298545, 898959248, 913374670, 845318870, 90396523, 702855318, 54644043, 1025578121, 344320054, 585278117, 438453606, 1027327885, 422282672, 661208570, 748296202, 1007433834, 907110111, 84689620, 1069872574, 228628337, 199169278, 934886259, 66097849, 158937991, 73099971, 246042702, 440663123, 761823909, 484141686, 943025453, 69183999, 511015600, 550540273, 630488184, 793038702, 412523827, 851890039, 920434958, 1050331965, 410262834, 1070908095, 876209956, 478223445, 271902936, 902441817, 816993242, 12508510, 916680791, 818703205, 916374537, 36216718, 667834977, 303920785, 306214364, 1034800321, 676748434, 1000713291, 614073848, 552459115, 888743033, 949407272, 165093792, 245149929, 685445017, 463384199, 866071346, 734665561, 592845742, 462127132, 1024105680, 424631455, 580053530, 117483550, 552878154, 685025203, 767877058, 368135054, 557453059, 20337084, 99212877, 172894929, 592634687, 711510516, 341833345, 153780819, 808506213, 996042119, 911983410, 291046561, 117644879, 414661440, 904425082, 1020192738, 36588872, 912086105, 321098861, 1045176099, 424710270, 812625241, 605372881, 47816537, 59392987, 609437733, 48020584, 534100809, 722916713, 989487156, 683178846, 783122278, 379936234, 380979989, 22150746, 788512804, 116378746, 776159575, 592146960, 808955724, 1072664525, 770135821, 361699230, 585627225, 583179788, 707994158, 589073116, 874009053, 418703596, 1028183000, 978688497, 167155268, 363609915, 915098236, 830083388, 692467469, 919084034, 1024853277, 184291036, 175669688, 52689217, 467800048, 953068735, 521210362, 588384449, 1034036750, 776611763, 745144087, 19450257, 506709352, 501141640, 967386812, 126793967, 936369784, 594721285, 873980911, 839424628, 397975643, 517820627, 486851062, 308386456, 778288060, 296678150, 878537732, 821703754, 394280339, 777577449, 224404282, 518077099, 972367623, 332793710, 883454110, 1037261931, 858539874, 481307767, 311706079, 662444953, 999736541, 1038349097, 381305775, 999314386, 988288671, 988061722, 4048007, 198011094, 40051789, 112982652, 240696942, 243839191, 121108332, 1028794330, 223259436, 586197664, 56994704, 1043486928, 1044954146, 992023136, 259299579, 1012428367, 468091514, 237138056, 25429009, 433247028, 422880910, 300515304, 222829216, 555356487, 583286982, 886086271, 29681161, 690480482, 1039196251, 135891613, 555183227, 173999117, 175425943, 925993391, 605843563, 774649358, 84260601, 106215107, 765220779, 644655101, 847511491, 542796408, 849038625, 230327674, 143684649, 302387487, 760852783, 637786539, 755758807, 867627620, 458797515, 1012872345, 234847632, 230026826, 678470969, 1048337694, 1001442777, 894668841, 1018500000, 156971138, 984898372, 262986967, 259712155, 52187538, 675535751, 22249891, 513412012, 312578422, 755905529, 323473287, 765140856, 580894351, 895997563, 212192484, 917343169, 199390137, 482376877, 724906899, 131495162, 1017456999, 21607769, 617332242, 112308464, 263835840, 2533703, 868146837, 446865330, 852525968, 453634414, 708190256, 206652742, 355087018, 281937219, 1026676023, 407748026, 42684515, 147383306, 725963177, 987987763, 198784029, 254364934, 4989933, 530488900, 1018668336, 1023391405, 846603268, 848600464, 363497091, 75350792, 491303072, 407640324, 360671853, 659591515, 548643559, 326324192, 340789917, 800441103, 552185087, 512993972, 204006010, 669140945, 550413215, 710155393, 844118915, 969192379, 387172422, 470471480, 435786644, 293616132, 697286226, 1002923071, 455976564, 634375323, 283197257, 511149448, 610546346, 557765094, 988133778, 1006220035, 1069853172, 225063465, 276372535, 406593177, 647660464, 891445619, 488515754, 902874337, 892524048, 146824159, 72563784, 593458126, 841251922, 522507150, 788815748, 701776169, 656872284, 192441614, 366911582, 997732832, 169015629, 305216198, 665303207, 941407192, 992019388, 285748385, 536598242, 1052927551, 1045726459, 85926187, 729319982, 594770786, 566473454, 53635476, 584642046, 67961345, 30687647, 6697876, 480616014, 760579423, 322005987, 721986022, 552164914, 441693013, 542910147, 842268896, 664295597, 603541056, 293632665, 847679553, 911839187, 979696786, 181724825, 375477085, 166463325, 484233346, 692411369, 694766874, 986285851, 524034298, 417759842, 844612705, 821275309, 330907774, 243588909, 992385928, 527431474, 350386912, 326574887, 526818826, 770875481, 759071535, 474723087, 532640368, 47603048, 1018279659, 216622431, 261945161, 863552659, 193240785, 827872682, 33424180, 910506294, 393448541, 165168949, 1012773371, 759787146, 489685229, 1059980414, 635795208, 916205850, 966742502, 1062193836, 93128514, 733401276, 100772610, 590326008, 1015045963, 1019491201, 417122269, 545738060, 698310293, 1046059234, 948291495, 53327444, 379754418, 272376481, 568448077, 512080311, 365504122, 996067649, 734550529, 603483627, 1026965772, 962006612, 998023336, 1057776114, 474891748, 259352787, 406911878, 885267647, 986699923, 935461130, 968431214, 749449766, 616379099, 13941018, 706063606, 476394565, 126317481, 728431492, 915903593, 186567413, 185711720, 543578308, 898602753, 1066332948, 745272825, 81091051, 766729963, 906067376, 280917383, 660771063, 920560104, 494751836, 529057841, 582713331, 532693771, 272946366, 862743560, 784395718, 69063920, 645344016, 339899845, 648931455, 567689925, 241508490, 258453180, 1056769355, 301853757, 658447706, 497585948, 345358410, 958101411, 1006806519, 838231154, 448951928, 1039760883, 355495399, 993436958, 74984255, 1049753571, 578124121, 83043910, 447536832, 988589480, 233637175, 610883587, 607583918, 705614776, 358009966, 333463258, 459196073, 831702016, 1037799652, 124603172, 931496727, 949060147, 730079385, 510065957, 943926447, 729134480, 42831437, 66731574, 648638898, 851152947, 300893058, 676769346, 1044429929, 569465205, 433582937, 897953393, 957405613, 373671727, 408723206, 959064098, 637796990, 665821736, 832121083, 308400524, 738570345, 543309533, 223446645, 779221513, 324298010, 473152718, 528513112, 922512895, 9123280, 696296628, 547582973, 19327910, 689035256, 774053693, 49347263, 378124021, 949170579, 671210239, 929885019, 1028496190, 1020690695, 1015301808, 890465767, 864759691, 707600723, 792307324, 721471759, 915933394, 357508586, 595535723, 467312713, 167211393, 752681157, 150390085, 956488254, 1035953867, 27679779, 159902437, 198736341, 642250097, 454196652, 1005283141, 969826559, 368406066, 332674785, 869984828, 427950680, 439509775, 865973229, 222689448, 604175775, 531824549, 438356072, 866937774, 562773099, 942707793, 932805353, 819200310, 122648320, 740780242, 551933863, 90821520, 761825568, 678242498, 868465203, 653952759, 473300576, 816640491, 263704763, 280666068, 344753385, 839970314, 144781088, 162149527, 306885986, 735836727, 440029030, 417864766, 550241021, 53391565, 536363264, 717630704, 357140531, 334904231, 851536238, 456285283, 179154393, 970985753, 807579821, 510033117, 1058338832, 711136492, 67812732, 609009927, 929912313, 830992297, 318941318, 184829997, 331133291, 1019059644, 611441049, 168354959, 831558525, 243328403, 990962948, 447780118, 118831323, 69399922, 494368907, 545435189, 417955745, 498991017, 329124562, 780572772, 1067587309, 657358511, 1028831393, 403075930, 516287033, 482750832, 280518908, 514285460, 993692066, 864888415, 752177559, 806861303, 411167809, 892881206, 42316469, 167504008, 473917559, 617655699, 987711501, 1013029234, 707024133, 166436831, 1054640391, 532426870, 1050008522, 238650065, 360627531, 1059241140, 603265820, 995267168, 638822438, 276732183, 813895489, 580983741, 103101145, 853097485, 128437888, 631241661, 88294010, 707875142, 952714507, 877779496, 106237284, 62007429, 666544040, 965001793, 359938484, 180730494, 943965241, 847744058, 829312627, 301639506, 296817996, 590856799, 207875533, 550387219, 966562734, 934628966, 34051470, 50317341, 324172024, 318981031, 566210986, 409666536, 540917911, 703204529, 369865443, 150519437, 797225819, 926657287, 907770105, 44779178, 97365393, 8866837, 840528302, 293133368, 733024937, 1020819454, 1034405904, 448283889, 447682059, 125377204, 800901686, 885145658, 838125615, 118579351, 700755259, 496682164, 580453, 791577718, 646090498, 218534277, 163034904, 720718380, 88052465, 711132009, 462208276, 84055376, 368148476, 998885833, 285344644, 903824975, 139587562, 1048523751, 35490116, 116727296, 400175811, 881918234, 891626536, 85111389, 181245370, 1047555258, 23295636, 48392610, 821496295, 752717923, 818932136, 371313784, 23334918, 45767376, 1003147218, 426756205, 487746193, 49001891, 545903264, 68926696, 497937594, 502884461, 564668914, 226605103, 327995261, 492421816, 334717991, 495264503, 910832848, 27052034, 353924316, 60709436, 736246472, 971301493, 394614071, 1047435894, 769635944, 675635894, 984164202, 57450402, 660887269, 722508952, 769309860, 84016111, 943236028, 727951598, 890033883, 100862652, 52590896, 120074578, 795775220, 932313389, 618004604, 915146891, 393788276, 699920613, 280090332, 1050568033, 89888142, 971408955, 498499122, 871354602, 1057659758, 440142743, 306280236, 128757890, 772103342, 693134148, 236811944, 1059587246, 1006537082, 778238712, 831040654, 835806742, 653107049, 214783052, 1000216606, 759984814, 156175291, 1022358276, 649442928, 753844984, 463822547, 169079072, 132623531, 558743809, 618413773, 646253470, 44274982, 555213605, 154359763, 919395237, 490828982, 154442509, 995162576, 701007745, 590503664, 682780928, 484167646, 945265330, 801828347, 237870279, 80808334, 602447741, 483733319, 384650944, 252729224, 719812155, 624438015, 148357534, 321042950, 656823907, 608697343, 623354708, 939748406, 646990503, 339407470, 981363112, 59659617, 906908310, 422366934, 150735545, 388255622, 205017706, 908505867, 359804032, 1010696569, 444314172, 407720229, 286802912, 973359390, 977827341, 429967819, 884694623, 550391643, 1061307880, 506811989, 313593637, 83692914, 689672600, 926802776, 67505236, 54544099, 916277610, 857378804, 415867168, 859779331, 779964326, 1025801677, 197736818, 457968239, 1017655775, 969052038, 353832378, 607479423, 689524216, 185317237, 155002823, 958892827, 622022429, 101389451, 913607216, 874005348, 270689661, 308793110, 834140087, 280006305, 610598953, 906155090, 391465266, 240351461, 473362567, 352948842, 704040621, 886468976, 160974493, 684905483, 171012898, 894229981, 383290402, 508995654, 992202572, 851319041, 586642994, 17892956, 188073186, 273574263, 846302357, 768933216, 116996359, 48274002, 700468137, 318732715, 640235391, 116406541, 327990168, 780237359, 429416489, 997571651, 564477932, 809887285, 727100932, 929741230, 930463249, 552467655, 563312366, 733149386, 825718703, 1047394767, 982071971, 913505875, 553930515, 1065638069, 923900641, 208452867, 1008801213, 107869544, 342852496, 163331575, 679241991, 742248146, 924282370, 894725452, 937135231, 1020215902, 771463516, 900829327, 665585333, 1051225198, 1060923754, 927592203, 837206623, 158482708, 104135071, 20425368, 277688617, 536949432, 270452247, 198837757, 651822490, 629937505, 931990829, 1016630273, 260884771, 1026717054, 692456932, 972787549, 431518162, 148242897, 456635712, 931430731, 386466227, 896150027, 334424266, 119581624, 214570421, 1027027419, 278305913, 441950277, 491078038, 30522592, 637757941, 517295882, 574060517, 788630489, 305460591, 375651698, 438020636, 630094228, 1002866426, 840416958, 341550763, 917994246, 437833988, 829353722, 945231019, 238379315, 395907782, 169216101, 879461392, 113583347, 1032195837, 61849018, 21026418, 358738592, 845346741, 708834600, 508326941, 222108425, 170575353, 646899434, 543012383, 10389995, 811175963, 415289354, 173009755, 365224339, 852810342, 995044964, 15953549, 45570632, 1065437267, 728728154, 131716541, 399218857, 224178318, 1073481421, 968942073, 663623201, 272140050, 263564221, 815030754, 748639524, 981963041, 734334422, 870056177, 940018764, 712565222, 924942980, 174825234, 296206018, 79207801, 714325379, 713174786, 210881637, 221087676, 497599547, 901809120, 186008802, 696604219, 399332526, 221086395, 35367957, 509443416, 270268718, 94957067, 788920636, 782103070, 32149431, 646710011, 844932197, 740761434, 956861, 208798895, 997843979, 914966165, 904168689, 268225042, 638496470, 965813451, 58308784, 798426051, 469152584, 76307838, 385780782, 94048846, 672672776, 656841545, 333008279, 219206330, 453527443, 221494410, 852579887, 981385662, 621243152, 816601176, 700854451, 21375975, 466394035, 682266896, 149084140, 97471876, 83789500, 399457992, 166569640, 920820405, 605657654, 1069443034, 72350902, 972530109, 926347765, 546740081, 395327234, 131570373, 410622801, 429041236, 330751620, 752847142, 580396815, 240075418, 80012282, 585861730, 505278264, 394622023, 524748146, 441945996, 930041497, 975107968, 870148316, 531569373, 397677416, 298304924, 907608350, 263176491, 502081482, 389288878, 732495707, 716086819, 636136245, 90659050, 346279784, 758547774, 256441526, 588802500, 872845371, 198714896, 833008444, 272838114, 263165307, 436835810, 548313776, 487565644, 998853757, 168765585, 711064073, 691382910, 974454251, 660020163, 867564477, 389129126, 495948619, 580953583, 193468957, 634289094, 941397686, 108537339, 300005864, 923117044, 735421281, 819607811, 864477180, 260888499, 897981665, 966910378, 1000444693, 298530745, 143982702, 683148609, 513190452, 383645405, 868305055, 499295011, 214582052, 235480628, 973442838, 133886507, 879820958, 108462832, 839859282, 1007359644, 463655932, 124767267, 867831977, 139281173, 10339352, 309255847, 492332873, 1071718183, 381555195, 407350028, 1036345325, 254998515, 700892656, 421998831, 482810088, 937810108, 44923649, 335649097, 506955556, 594079084, 920192413, 226856813, 133281060, 819155885, 945588933, 769431589, 573062103, 990334495, 543432513, 490285655, 560128621, 776412578, 494561534, 226735316, 44233357, 61535094, 681503064, 136158881, 559540305, 766043467, 716249932, 507028547, 602191904, 970897125, 224958066, 996452712, 1030718813, 1068143470, 766170791, 403475051, 428684741, 582209795, 422812919, 762569927, 509672178, 900764928, 594540592, 140560822, 798391360, 802095053, 993375898, 171429799, 236198109, 754228214, 127438152, 1049684638, 631274876, 144932578, 170903415, 240673277, 866539452, 864959532, 121428759, 933167083, 504673528, 525896654, 527637140, 473649833, 504394655, 160486644, 915665229, 757469568, 558776007, 268812695, 514911288, 67789159, 402638248, 224166068, 234144621, 89831851, 757575936, 36965014, 458139953, 541011036, 682215651, 324707185, 214274598, 479677792, 468594354, 686837205, 476235359, 11661923, 337943600, 485680615, 203498213, 123674538, 956304245, 982004086, 284699148, 224216804, 194459819, 758090691, 463555094, 385608287, 481267359, 228598644, 898981219, 724503634, 290819209, 348793503, 510851154, 499937302, 153066950, 167686948, 828392617, 30832137, 818025884, 814472544, 26574284, 611001777, 975160970, 1997196, 246505295, 957845886, 1008132998, 1025892185, 324338427, 337320652, 92181119, 802599499, 392653906, 536268756, 6170127, 6004133, 1013125424, 877913769, 919883349, 65065564, 461580876, 230962765, 1027819636, 46557282, 760202085, 811581211, 865989198, 1044447963, 805660374, 134210911, 1063836405, 426923342, 470622833, 512824112, 1067313440, 882929228, 822456832, 216122935, 32185009, 1053378715, 571454731, 1031241731, 46982234, 96493249, 339999968, 523571540, 709645119, 357115344, 1029878552, 559221361, 1009132764, 944934526, 992176895, 323605364, 949483343, 10135735, 507407149, 584880394, 682416633, 713464355, 1021538202, 523486318, 844047545, 761534611, 924323778, 674204894, 924337060, 1053421095, 803785714, 60580197, 1013214582, 923726500, 151483505, 436165609, 202874387, 441948837, 861292905, 140871311, 963672836, 60559907, 690825606, 28778477, 478291643, 442446491, 977013060, 724633413, 566366410, 732941465, 848411347, 661029581, 567870917, 675564762, 624667334, 1007947755, 453154584, 278670772, 574900523, 305684983, 448578636, 501095222, 234022375, 623450935, 57459334, 1061979716, 699582414, 78587394, 787635756, 800155998, 163431183, 340422910, 611369634, 381875673, 118405140, 901454815, 220532469, 1057074625, 288532076, 525223482, 650804422, 903766407, 688372758, 739862616, 942555581, 29113050, 526395473, 343613027, 676359599, 846022169, 8831365, 353721137, 54043550, 703243774, 246710929, 559757407, 12072252, 501251122, 1032904214, 1064719057, 883005423, 463982708, 860910487, 283590344, 823518126, 113326012, 492828276, 792595328, 563169753, 1043663170, 1031765563, 359183865, 273684636, 1019716676, 846371216, 40748905, 806976629, 942450775, 762626537, 962134960, 948587307, 529573130, 158218935, 102850010, 65426392, 551582503, 855035696, 1064586223, 750703174, 721190530, 143904176, 1000148991, 1019657803, 558783138, 117546093, 672009298, 462097299, 419061809, 385011395, 178488722, 943345068, 249834995, 685612039, 775674535, 6733903, 168389099, 895340812, 1066301111, 625463053, 460226434, 551020350, 34904124, 257803787, 296097064, 931649406, 678876338, 256931448, 207716159, 271590695, 1016190644, 129220035, 835153520, 336786625, 138687849, 157399106, 583092398, 47954991, 178368777, 1052594284, 385282651, 461386074, 62938385, 154940428, 456473136, 53535455, 66619209, 809182850, 397086570, 586681341, 360351713, 715654610, 774733123, 221920006, 1044534095, 953924804, 999414837, 130730963, 609045222, 299926611, 439366018, 616818697, 633919122, 478603425, 489200559, 776908665, 1062274464, 941171479, 978907616, 135237969, 352548900, 433892128, 365072302, 655429126, 130740492, 69887235, 309667852, 670409464, 312992265, 394694124, 167656568, 551304489, 896184990, 719037826, 409775850, 868383202, 471744610, 375286157, 51418991, 1045711690, 63966247, 924924201, 843851669, 578489414, 851125933, 683067517, 123482511, 64017661, 172106888, 159205073, 797804650, 1029214617, 323235493, 106131147, 570392199, 271543959, 365696474, 554246406, 712651496, 293038436, 677416389, 194314615, 27577846, 471427757, 997251430, 194846316, 858948732, 96058925, 6693716, 840348983, 184085926, 102045072, 338665818, 818216651, 243556522, 644904578, 869234422, 946515966, 426970060, 624880197, 656633992, 247094661, 211229571, 76097176, 269509513, 117819299, 505576510, 478563773, 190361431, 705315250, 1043216456, 461063326, 181576415, 537103360, 517204880, 971718708, 1035253293, 343415801, 74186073, 536445156, 953679480, 202711358, 555484407, 372221500, 596550324, 706973137, 500866944, 122051498, 349404150, 543234654, 272893311, 319293714, 64892823, 423130548, 722266823, 324911214, 781381069, 294320709, 630049175, 906425959, 889167237, 394945516, 990035539, 1054226457, 310603517, 764670637, 966798027, 754495317, 313099231, 25405845, 639827967, 395830947, 983231855, 651978394, 239628773, 684455615, 907537907, 513958558, 171781111, 351549840, 40412202, 720718901, 1048439926, 706318969, 434817242, 633891068, 761243115, 1030764936, 663783416, 952050362, 466121970, 158413498, 1043186479, 805968782, 380438589, 994064570, 233124674, 661053693, 922577287, 896271039, 865988730, 781184960, 111547780, 438726446, 491008403, 348289358, 610578509, 773689293, 790674222, 73110460, 54825046, 898282317, 115517333, 470468772, 76565695, 969282818, 195260378, 655634330, 694602910, 749120941, 139002549, 419645693, 803349019, 797903313, 148486578, 59532788, 325461946, 442717884, 736698865, 83295224, 353435743, 545688353, 633153478, 767343136, 51315176, 438235309, 1068427217, 814302764, 104758153, 318747779, 417876069, 143359151, 133849628, 1052012576, 1060671630, 830903132, 675951832, 1021470162, 551104028, 748335343, 228441533, 137663886, 1007342745, 68616965, 845728585, 66174446, 981163529, 918603652, 866635734, 164017321, 1043479959, 960584146, 723186871, 82774632, 406983990, 25022203, 71787015, 599192618, 337592544, 627957239, 243887941, 920579881, 555717276, 714692730, 907679268, 292661128, 1053342861, 108019688, 335905446, 860931862, 1025819260, 559811082, 94682212, 749345343, 99162272, 911761421, 920657865, 362692829, 217568418, 487021030, 533030148, 543277154, 213016400, 825380575, 846710567, 666988166, 974287841, 506925131, 129863638, 348744014, 706333048, 717178409, 368685844, 223714931, 336798731, 722010829, 77417933, 500674701, 472739807, 92180946, 333399298, 447720480, 548155859, 570847303, 345551339, 272494653, 706121841, 300511679, 479144579, 929651572, 928712879, 585709358, 663893503, 175101092, 434706855, 996905937, 309287698, 277988867, 781954567, 900500090, 545668459, 239811497, 446007591, 103848109, 571081347, 1033020555, 1052479822, 903098418, 693833746, 526331466, 284548660, 898979869, 104697585, 184087842, 855366630, 448516059, 83283898, 267751089, 319906931, 466419970, 924297871, 377026397, 257140582, 514789737, 89901028, 348745679, 598328884, 682265463, 500016365, 661938595, 967584922, 1001274065, 688889407, 162270939, 121873367, 391299982, 879422023, 156380318, 665886557, 702099469, 636513573, 301391159, 1020850938, 168165798, 541434123, 156967786, 178313666, 258824053, 338908585, 960471503, 919082242, 73572870, 348269087, 115475204, 1023707991, 120554815, 517163422, 494180992, 885370582, 394708139, 159731956, 628814181, 799524720, 630960104, 447083537, 279914055, 98330644, 508106670, 278392263, 551724311, 1030587034, 244605265, 1060898824, 960299257, 450871000, 753072055, 1023037155, 300469370, 410652620, 108784566, 750386794, 296937961, 766029418, 631872159, 696289350, 1049517727, 207612974, 294710247, 526818795, 226848187, 228849806, 467308227, 262662091, 639990505, 1050991546, 876821316, 327917949, 511956912, 255377796, 142871378, 837210337, 494382339, 826584438, 140150292, 850602247, 399280120, 723861714, 926662927, 457515227, 5837883, 484228376, 938428348, 830312650, 336176653, 760381332, 635826204, 714895646, 227606239, 745123376, 687890253, 1028259348, 257969061, 665635865, 930611352, 41246917, 450164382, 675257087, 906195887, 35632334, 243079927, 553610141, 760988642, 843510528, 185316516, 13239903, 563576465, 867281405, 185255061, 353383168, 1426602, 23289077, 359989920, 123445143, 22964912, 204897438, 537927813, 128470463, 547594260, 609571334, 557154345, 115268077, 568078866, 203188725, 128971002, 1018936794, 236310739, 774476449, 832624695, 436616565, 617204574, 514465929, 45941753, 388189108, 420539694, 914328956, 816971438, 594527695, 100784340, 705229917, 457432265, 658236442, 506553736, 679088854, 349873759, 752125762, 653696307, 295520874, 110981298, 687066438, 931446826, 94244005, 229769592, 615053533, 394130371, 274441855, 314735644, 462418597, 783521293, 121094397, 357536665, 577502313, 424606383, 591033065, 175527833, 455865579, 574889919, 834431008, 997567498, 372279464, 1051850131, 128521007, 715977480, 120154250, 39978814, 268690672, 517737734, 277423800, 253467173, 90128141, 1047693510, 493133444, 653365401, 183622545, 970054610, 211865087, 622850791, 794827654, 251896683, 338618631, 746021399, 580290995, 298902903, 556322264, 323657097, 773906444, 113746321, 982583176, 1014282099, 486572002, 561511822, 549345677, 167394040, 99525697, 1030748097, 462404090, 1061000133, 629244235, 600147881, 921585912, 43658970, 236984956, 1022183051, 195066087, 582368524, 361516805, 461253359, 206798112, 115872176, 932797826, 924923084, 56687942, 66276640, 999401858, 1034052861, 544190306, 377872516, 38922997, 508234703, 201665194, 114938179, 1070723697, 72917543, 874326807, 611846713, 347863986, 679636276, 618269810, 522515099, 277686198, 258982930, 472288282, 88434491, 774562778, 168462919, 455265218, 990956370, 565691978, 1038537797, 96164467, 251351237, 223591776, 974577651, 173422974, 783488275, 461447398, 1057380275, 892072645, 573867813, 696437103, 952727859, 304194286, 480092073, 341553924, 364302390, 577495569, 1046224453, 433747058, 34241144, 732239054, 979990566, 921100196, 856897641, 819803037, 712963245, 98143699, 219050555, 818013504, 274465450, 917234210, 711491292, 684694711, 847176152, 537103570, 778477728, 1059839611, 408485870, 241271679, 1003743174, 1018209493, 620415613, 216702825, 120196152, 190752426, 413446391, 101458839, 158288763, 596882140, 116011957, 383771705, 1006428709, 720078147, 861656426, 345060706, 1003078088, 686027774, 123495148, 816391215, 237081932, 461581443, 895039798, 542930061, 784400242, 598379553, 346483089, 988201418, 461319833, 862830475, 171496119, 1016540542, 101067542, 865909618, 73525936, 685601648, 580808256, 50799891, 1004098884, 202345879, 663271888, 402871730, 714303264, 581584563, 459333690, 47987605, 145190320, 701477330, 68235831, 643462709, 1034314088, 897322771, 127046732, 1019543938, 996958021, 355681107, 137761180, 589902287, 1038651772, 125388815, 570930930, 263957730, 990792049, 355966608, 454582862, 349545827, 773544537, 235751489, 101291977, 93698403, 750125044, 437050147, 658932863, 107504107, 855171868, 736237572, 377884848, 520385782, 859654065, 476163630, 650860389, 962822623, 387747365, 760482246, 454385298, 583675296, 777949440, 769414526, 1022939728, 879842102, 58209479, 70206636, 154540923, 864045167, 420768599, 272359149, 904328632, 25302931, 235524919, 773155862, 8278442, 761978227, 682305561, 537010552, 901526368, 833638902, 628430774, 40930079, 360966615, 840639730, 647140631, 57784720, 236162473, 276474568, 754806762, 552336319, 775480630, 494683056, 496628810, 908518534, 25670183, 7475543, 683457980, 247920275, 348914647, 111649281, 452155635, 816218352, 819635895, 284737422, 582083035, 423372769, 827357076, 608392140, 940656537, 17833835, 705585683, 935652788, 1039655960, 218174311, 301091411, 1030601384, 566635803, 425775737, 980527477, 476320051, 784769302, 556295325, 404422282, 776906827, 729505229, 950655597, 856360729, 573361613, 836410482, 1043558595, 159262781, 876614235, 344853972, 203160156, 635069137, 1043232724, 201116156, 1004280003, 950892320, 1015782141, 833149866, 169420338, 674345858, 205329149, 375817647, 364771982, 877177741, 504281523, 181815607, 387041538, 42717624, 133894588, 221768972, 310804673, 585795115, 714155857, 658313397, 223842064, 118791217, 1054323041, 675981855, 762628405, 578400277, 638800740, 783920175, 591620377, 393262748, 429017269, 305908529, 855671375, 144943733, 36559160, 608374358, 329179355, 662242160, 620104641, 376467099, 73771523, 465301876, 66963786, 589696275, 823491228, 59331000, 212281485, 971628964, 907329660, 813770376, 275939163, 898801754, 140366616, 374902920, 553189375, 235270466, 957691495, 294972971, 376658555, 990244899, 640925119, 224784784, 911697772, 200070688, 1069057073, 670168483, 826480593, 558022925, 93402968, 859953247, 148683728, 901533852, 107664138, 595294485, 495768712, 929612692, 241959270, 905828744, 403430337, 547243026, 685325577, 816120437, 283750689, 886198610, 856294560, 320232355, 45157259, 929157573, 748490592, 590018216, 731361279, 738060192, 232813496, 77479188, 688552254, 1051734626, 621630063, 202872310, 851513805, 239946206, 72397855, 1053988085, 807873097, 601869677, 957658387, 789916412, 449024447, 576365417, 1027091423, 504323272, 1043054827, 510751243, 562051449, 862963536, 681529260, 352160610, 1017714273, 1001641443, 362308837, 810768797, 581222289, 639677685, 179468449, 600897300, 657675591, 198822502, 83392871, 654293839, 43416221, 723975801, 1002300151, 315485694, 627967373, 640197020, 590102591, 95517928, 848348097, 249925540, 337740314, 14971471, 604354355, 1035072129, 641441400, 827927668, 374941175, 1039415092, 629141269, 255071865, 978715443, 212526852, 224003026, 697418704, 188187187, 348504624, 940070063, 1052557643, 3189182, 810586203, 87339603, 842481790, 779528301, 1011455270, 714964936, 756548729, 1010457598, 480473256, 50702119, 722134893, 684559458, 172045374, 616284445, 628705766, 827177185, 161874389, 212106243, 995602389, 941989552, 266029058, 435998898, 221222365, 836570517, 469689008, 312253889, 772670711, 302184776, 752385909, 143521964, 131381541, 482887663, 367984517, 831968665, 854984220, 976388541, 328992369, 15966267, 688851541, 216049880, 1063826258, 984470017, 719591375, 479489588, 818283362, 787353460, 133562069, 46308448, 1020325503, 354723561, 905315056, 756222694, 840951689, 631702495, 721283956, 687172217, 237609209, 148410851, 217314705, 844065832, 753662168, 473504003, 205877393, 734864976, 510211466, 616185997, 707056762, 699310764, 1035869234, 1048097751, 912655625, 900111026, 563128415, 485190865, 742491468, 317731191, 365529632, 169372968, 706216944, 222062531, 762357318, 330675151, 517327004, 808165203, 875872255, 75104481, 228219207, 445810660, 607418224, 354312762, 540959809, 869152327, 722324521, 948370487, 1053117781, 874819097, 485312288, 995313108, 84850004, 831032344, 334962214, 443383763, 463865433, 768270008, 901606509, 797494978, 414858176, 891346551, 172256255, 954798837, 911062386, 362313417, 355801013, 729522887, 513971576, 966271255, 960801527, 487108862, 633111828, 651788723, 582276935, 404041743, 1006617027, 1065018882, 896814927, 335835719, 371093056, 46491985, 602452404, 486501009, 86960841, 434636551, 955345678, 570619643, 194733819, 314638572, 174978893, 383360405, 781930213, 622321993, 739540147, 170946953, 647285205, 272020509, 899679431, 270429109, 837236855, 540641598, 699779435, 145773061, 232094452, 90196897, 961787932, 690350117, 914400521, 394820583, 595773827, 514198479, 677374798, 753578784, 307492825, 61731233, 304251668, 1003736252, 212586285, 806567824, 696404742, 185077695, 336476052, 389248089, 298468674, 839449092, 1000703242, 973012605, 995396761, 1024038204, 895358385, 480924073, 424754286, 669077162, 925883340, 907729994, 264028974, 723885600, 1047900522, 233668356, 932103686, 809370025, 423218270, 1040774311, 741456429, 152690494, 710400785, 1050379982, 39306614, 631347377, 1049195239, 1038913680, 683564226, 572375987, 216994852, 232231999, 600450223, 719501240, 908078401, 745174032, 472657243, 183980472, 555673763, 474883582, 1004517943, 778002383, 889277018, 237437828, 183432737, 876151899, 618920621, 525501392, 567881894, 170439799, 645086030, 685880157, 425858354, 654517454, 337333934, 479417191, 290337, 926021559, 139257993, 610622294, 327309261, 953764701, 20898925, 984243659, 686257462, 481306521, 365910251, 357143019, 468299371, 255622079, 271380438, 359692599, 372801789, 613695773, 673213851, 605101098, 878915839, 275151503, 1270107, 106072533, 1008238461, 355973722, 124113447, 625908377, 1005755526, 741781853, 538434735, 614810734, 569089108, 670951241, 931482777, 861386651, 961139280, 244946163, 370373436, 724223858, 873817546, 844330669, 407532825, 461741086, 603436224, 13456130, 497224172, 150809758, 791030415, 818352039, 830506705, 378418188, 799429969, 746680901, 872255345, 913757481, 433702451, 492395973, 871919622, 1000077895, 436024417, 584209781, 738818336, 400421372, 401880138, 872913875, 893927323, 847293524, 383124354, 409032695, 1031015801, 401402159, 336922967, 1069186327, 301729844, 411177673, 177810221, 872591660, 576692268, 888434707, 426717447, 325523966, 1014950359, 626859405, 788559267, 262677514, 613233878, 912583858, 317919115, 850161618, 798440405, 794138423, 410665153, 830455517, 795957252, 933637445, 790929542, 510978339, 336150161, 963708375, 594122274, 886759406, 915563272, 107805782, 972374144, 249032763, 472708511, 484694200, 462108364, 649640516, 130202898, 484106960, 68674613, 231279113, 303261665, 93421184, 83858230, 707134415, 164149547, 338500947, 413777153, 417101829, 806176589, 696538505, 64990784, 321327479, 617804856, 525662794, 367904752, 479317400, 227238977, 109154142, 163471371, 1006989071, 1016365249, 741554342, 278125275, 845069918, 81612885, 855418454, 884960548, 395914534, 410413176, 252212047, 207641998, 47245246, 100441693, 735034239, 1058278076, 978094766, 1002804111, 772795627, 254322909, 210921543, 268557438, 832070634, 62164306, 660508574, 775351594, 649774735, 821603528, 408079726, 557567021, 403830607, 557076050, 521402419, 683637790, 787351322, 508574636, 959113841, 200826571, 915359223, 372706109, 458945436, 559865542, 336856675, 941776428, 674044952, 903456285, 449437284, 1016319336, 602671678, 859332293, 751328350, 1038696909, 660485232, 381584015, 174790293, 708781331, 886289952, 301786481, 901600017, 392212693, 469517542, 185929817, 773484533, 1002977488, 950866730, 965593448, 925255446, 251446250, 886254807, 484735813, 382932523, 453232660, 1058425823, 607618908, 625882380, 211081975, 1056617023, 389709044, 947435964, 739278220, 654984191, 190310563, 466703694, 618643048, 608822432, 657596490, 276453564, 348723183, 703933248, 809608670, 512330997, 697419498, 654959070, 84269624, 652633125, 902072106, 694718826, 597071785, 368070317, 283839353, 144479444, 333922930, 960437216, 770850258, 994388291, 874879893, 1024329380, 763718243, 1064392393, 3095107, 119943470, 438468416, 150423828, 988568105, 438247398, 556749682, 894972322, 77205170, 604204211, 858573861, 870774261, 995994144, 764609696, 945582292, 1011906922, 868698355, 526530843, 680420580, 152785143, 862243799, 1005373178, 306728785, 382326697, 227489008, 567854283, 351518094, 969717403, 430208643, 998877682, 673203645, 208032736, 954035272, 131718334, 171980567, 636752374, 693653942, 222184812, 216954483, 75996744, 1016184830, 991525285, 84040039, 199854268, 595602608, 583750004, 722794344, 700489629, 493466626, 849220721, 503530615, 332188028, 1013013779, 878860945, 16186360, 810586488, 887561554, 280899537, 1024358444, 478678403, 131604633, 321066523, 793860163, 210783467, 199336718, 30604825, 887374896, 864067621, 671795167, 76672589, 685894809, 989227174, 743439629, 156218651, 1040863732, 1000628138, 503204428, 974824730, 27174881, 921591464, 287198146, 818506386, 842607826, 168340299, 112601004, 714368961, 4062910, 234854889, 515729598, 185223506, 599872320, 384584500, 806530641, 882641513, 591353747, 472421848, 1024564447, 106992428, 115644982, 855221797, 280150324, 244908801, 386094736, 93077541, 970236757, 466038349, 369770622, 1032525621, 1002974911, 479022862, 25551527, 262381609, 808346475, 605631489, 1006101957, 694374221, 567386226, 584249119, 270820791, 710490022, 1045270760, 640951817, 67539879, 840194606, 838132585, 502290831, 486783843, 129953444, 960361680, 518036375, 947050598, 105981072, 703267553, 1055588576, 388722403, 78199659, 411564509, 574315580, 159373069, 701961234, 167332331, 219574880, 933390410, 785148532, 321731081, 389206430, 944784608, 349889329, 844727714, 524835079, 715629223, 464641463, 569557648, 519871781, 321299276, 918569216, 989279916, 628027756, 923206517, 18748208, 484774446, 947576855, 754324331, 288770648, 53374977, 672975981, 915396276, 416446803, 899991571, 780273267, 956095495, 247896746, 276678993, 274760102, 322900086, 403701291, 737331915, 300883944, 265255959, 131807419, 1067149032, 416831157, 1046048095, 356902619, 870464328, 815745392, 173126464, 642758441, 12874857, 948118724, 335767497, 470575745, 394620405, 483952267, 251983002, 676691207, 935980175, 649620866, 221440246, 519584247, 335980701, 30902609, 529565849, 28160027, 639876472, 84987609, 311672492, 76290990, 886770198, 147133720, 625955820, 486342948, 27904032, 66274428, 902070039, 78892018, 1006813156, 970215079, 927136073, 195790523, 559125335, 869609561, 247387536, 1028148996, 623291571, 934973991, 962041568, 903907886, 566728465, 839265988, 787310621, 54068255, 121045030, 19218016, 471607881, 448717805, 709090311, 430142527, 648733226, 1055653504, 1010510437, 591497185, 765069268, 199835214, 523702403, 267680421, 625084149, 770806404, 410481485, 16456525, 976405817, 253467793, 550702098, 290641246, 592239103, 557052563, 372804973, 816981344, 593583529, 1043531611, 649391851, 589940458, 279414351, 379434895, 856467098, 340656864, 858448093, 1010075071, 133992058, 440051668, 201756904, 262236863, 545587450, 61397162, 850474794, 111971893, 754024085, 948005630, 659412676, 49984583, 59214914, 264082472, 12260626, 879293712, 210887802, 963371981, 641936312, 420388718, 1019657324, 621680985, 891693554, 615806884, 817886946, 179387764, 359806101, 521702399, 246846770, 447058399, 569412201, 1045929809, 885793953, 738516756, 218276489, 696244262, 663712025, 319371827, 587347832, 702697146, 13128550, 620722725, 311343778, 79719120, 460656878, 97568296, 682682760, 37115837, 202141837, 843494603, 826384924, 378409125, 756270918, 854726814, 186633673, 144043257, 493533277, 322310975, 913999358, 780469427, 43208961, 177269134, 274766951, 13015737, 60247417, 167873970, 136030439, 813011161, 1056293838, 742951736, 138924884, 157358086, 438882622, 742249939, 556653670, 292947259, 661892514, 507783124, 1028951781, 630518940, 921390915, 325068582, 823688032, 88844599, 295410853, 689154313, 756276454, 790832840, 142260562, 36306444, 522836017, 635763469, 771739028, 166659551, 489337105, 990596318, 42063228, 392154426, 881025381, 812193296, 389129865, 885927583, 362234796, 817964610, 886342544, 158906657, 900269870, 505958831, 465315133, 753668898, 614954201, 358035723, 375222163, 266321707, 944542294, 580203315, 861099062, 732822398, 1039305322, 959820112, 659921430, 309393039, 273009283, 564674378, 1015846990, 652716368, 214195530, 743912585, 444980494, 117388923, 160430772, 685130689, 129529046, 176946638, 98073974, 1010423661, 73977218, 207835732, 637666928, 995706213, 957693648, 434518432, 578221803, 12813478, 674667790, 752994206, 614785379, 731843001, 540577463, 214410207, 43686360, 481865982, 821909713, 954313513, 135046392, 696109246, 321219621, 255300797, 5182445, 462814020, 983527439, 546120869, 443230731, 897930640, 957727464, 66247009, 172883691, 830261481, 793743296, 573536458, 190547948, 363263131, 562458035, 450636627, 2536318, 1038080924, 1023179209, 737667251, 222777631, 1050658804, 436639108, 524057608, 126660932, 494190371, 753132010, 991144299, 347081785, 753589569, 825116338, 959488344, 723542229, 124298200, 823096622, 882108658, 845355056, 640197458, 964533786, 893231690, 235736521, 499157302, 457507163, 536114635, 546466695, 265669255, 129537342, 310427446, 998684853, 773417811, 450665640, 502032194, 309064214, 842461033, 741611464, 770056818, 92433428, 465554956, 200763617, 281313729, 601326165, 886843896, 86215244, 14904328, 434090807, 133575549, 445266587, 831005978, 551167023, 1055837661, 803411397, 684239963, 459431782, 574029144, 782270702, 482604669, 393533030, 522103380, 101006830, 823969041, 357171534, 739361827, 876751239, 604708536, 800656471, 797280109, 96172872, 481462668, 89979294, 947481415, 901067617, 35441653, 223070912, 705017627, 766314218, 527294535, 624853977, 871749336, 501716335, 1036724038, 628686387, 81134405, 564813802, 498867795, 42712690, 1070481155, 769747371, 869432094, 50750004, 657977845, 42858716, 173145383, 593497858, 39614985, 217754310, 340610025, 337751587, 1034739685, 232816821, 861237116, 887318354, 997833418, 126107754, 145573885, 477624788, 904633922, 847334921, 821061947, 753760834, 913376907, 814063655, 141818132, 381552117, 1011498339, 240393600, 62616545, 693883751, 734149565, 512994499, 932395814, 230216268, 79072458, 327432258, 718342295, 463870158, 7675912, 420302867, 797559547, 1034934863, 847589445, 610206197, 479448622, 160205580, 870561984, 838302372, 430921795, 1065004463, 147488505, 990547628, 968458320, 933254721, 386420259, 243559993, 47210242, 674149252, 500177438, 771389824, 711354601, 994179840, 259806186, 377216697, 865560965, 64907684, 267366779, 485712360, 981762491, 719225717, 482717809, 1048655780, 364538988, 992823667, 33749710, 763211594, 1047383128, 295206314, 269368313, 1036376040, 176381473, 326443353, 94558632, 292987723, 265659556, 231754807, 409202854, 528292888, 772429613, 54191008, 655439094, 324442972, 703224066, 679567004, 990018345, 433696043, 397856584, 505145732, 466855135, 859242538, 682753555, 104886002, 1053653414, 692918112, 258167100, 420774753, 288615986, 602401577, 819343754, 535458793, 731814877, 143491230, 688885098, 788139828, 593575452, 701378189, 505945227, 419915176, 358810495, 332819584, 352242821, 734084733, 354344648, 288178014, 862680407, 919669023, 179828895, 242230339, 465326024, 73376398, 866997562, 326882896, 829709575, 469386244, 589743520, 385491608, 367402538, 705028383, 849513943, 546901735, 989517725, 609418265, 664029352, 138911736, 502392874, 212814399, 164977912, 531757265, 615998278, 228646703, 1024420735, 391431434, 1071069503, 157823281, 193368517, 667459153, 30939589, 365021499, 356255849, 604514142, 732208984, 644297856, 369637997, 591720219, 468045995, 848949359, 756737913, 572568310, 760167248, 145599498, 1034980814, 711361916, 709439285, 347671671, 737977438, 697959979, 192420444, 217632425, 480262955, 920048915, 492089448, 284230091, 259901969, 977693748, 980764714, 710732433, 8497241, 967977592, 859239486, 179581293, 660466425, 319208699, 858357288, 244460762, 509452097, 770105815, 133861319, 433606232, 66317183, 232555132, 675797188, 339488374, 342680012, 274339172, 471766001, 1029341876, 251449976, 734933430, 292002878, 1042915839, 588918149, 561675753, 387656967, 1005284358, 376921232, 109107650, 916360817, 564391070, 872527747, 809475034, 572744403, 137356519, 1036594047, 23399150, 883803005, 173432418, 243393337, 714390194, 776086442, 353485078, 597068481, 469201039, 269971033, 366661153, 178512717, 641439525, 450315669, 497623018, 3975536, 57864345, 724644787, 897645868, 894963819, 267538843, 947424549, 1070298450, 227870893, 495903660, 528719495, 202669449, 555314669, 302727405, 897558509, 241235357, 367505632, 233323735, 57436138, 708055151, 1069603799, 666594448, 745182511, 1030488085, 910554868, 984375460, 287656068, 738360543, 831422588, 237121781, 979330861, 454724750, 691134262, 688298533, 631057756, 1037618655, 789356877, 146681980, 630748471, 230537189, 483368028, 685024183, 993247004, 900313745, 549595809, 164143837, 420356915, 638067667, 369250674, 845429594, 916115716, 224800862, 558391781, 665837102, 940828190, 372461551, 1031402991, 669640077, 998556619, 150712052, 150772774, 435033601, 318950978, 261450285, 455646051, 913932065, 242127248, 1020758726, 620404509, 71423478, 274552608, 332706538, 440625173, 1055102303, 527296754, 803910289, 207626189, 787570640, 873975188, 5850459, 667721871, 44746415, 206474876, 657993757, 875499502, 828552598, 962929145, 492114982, 290332849, 817514932, 824012711, 59874039, 831692163, 519441081, 848654012, 562089122, 969160701, 907602426, 794005362, 958882126, 217967050, 946417789, 67061919, 382655122, 754620797, 34462700, 644904048, 982133960, 885283168, 887886362, 699912376, 338943368, 459776722, 370036916, 671614701, 959384029, 1036285649, 350968935, 419164369, 994976749, 662121817, 966983040, 772491708, 67889889, 953944897, 791663073, 864079013, 183690506, 972292911, 940326049, 905779421, 627051128, 679292762, 28433725, 862525393, 828545349, 405556739, 866462085, 77204576, 100455496, 18517399, 101354101, 854238961, 350103147, 423826807, 899797316, 589821070, 917694743, 1043873336, 440827086, 270689908, 788212959, 106963657, 930393480, 162807270, 1003757328, 289626271, 775561587, 832243078, 941307335, 475382543, 678380875, 23534557, 330737357, 680739542, 16117743, 919941182, 914003796, 175549906, 905977120, 314042470, 598299260, 1017029731, 735308022, 763448039, 310983144, 1062201539, 691790869, 743402093, 639487494, 826421688, 4572973, 1010315553, 816226879, 798631152, 263232910, 1047415769, 879622832, 91012236, 166393324, 538313648, 525443086, 670596865, 465509452, 919585379, 709237128, 796527409, 433402212, 73988644, 120454506, 988631864, 316731334, 576513249, 343715250, 271219634, 183163594, 120432460, 590226529, 37161989, 1053417274, 156538816, 757557538, 744135234, 316680155, 380036534, 211804770, 394624182, 196658210, 125822431, 992844817, 909664430, 583075415, 437192665, 76291932, 594343356, 848323430, 445135732, 158500909, 425663988, 417558739, 819691992, 712710297, 917752403, 134410201, 295368416, 426859553, 657764783, 530318683, 469722396, 469232777, 314795627, 816281543, 289502985, 392297622, 619303972, 252738053, 328841657, 1057811310, 826055398, 1046257379, 903091878, 27124252, 739813873, 49217795, 322938250, 342801839, 36442360, 353841571, 913436807, 60989356, 868472340, 68407258, 840065804, 822115302, 837617448, 422862646, 1057359969, 253691943, 785817778, 410226851, 846031215, 395588371, 295967710, 78749735, 383345656, 214371521, 465097679, 958454415, 603756247, 562700605, 1028953506, 921615684, 210637617, 110214603, 800733338, 463188214, 442083827, 470410687, 468122965, 213306648, 685183011, 762889148, 632276576, 716699827, 967918079, 548868902, 998031234, 216378842, 841123389, 664984372, 78544517, 950157676, 566440827, 460521431, 367929203, 983129682, 544841547, 983203203, 949754311, 552685685, 182300841, 69051349, 548904966, 561688959, 363985812, 102228268, 575764852, 884294160, 126060093, 673253469, 134910867, 51017561, 940127472, 462852760, 938807985, 427876424, 1025486170, 467181520, 613052741, 299862722, 379594822, 746042218, 411968863, 993094410, 604824424, 946956275, 539195756, 486887393, 478343977, 795889050, 497419555, 21751552, 562463283, 1045938545, 12284090, 513016767, 531816344, 507713719, 731396861, 817978493, 850337218, 644041115, 135565528, 236612360, 847938193, 867955193, 664829310, 546620184, 1589961, 449153868, 1054006934, 193792923, 435639869, 525741795, 192335550, 675165660, 696109648, 185481046, 660227825, 111276603, 434077386, 807032546, 1006333327, 264095557, 643391674, 27950241, 180768562, 989265893, 647426281, 687891290, 386046762, 587362714, 437521564, 729522391, 1021488437, 454779290, 519179694, 810987645, 244879521, 440781499, 147427214, 917538477, 1067791157, 397432455, 876916149, 395208414, 285474286, 483465169, 789119934, 273325710, 800905763, 890530902, 495267551, 490535354, 24651351, 412411864, 1061711996, 266477074, 400279930, 949647774, 127830582, 1022569882, 418794599, 871288358, 977005138, 905845331, 537368516, 507855530, 285398754, 255774440, 446827112, 963723124, 463782725, 1006358041, 986616524, 20577947, 641246198, 366006973, 773820339, 620827222, 898103487, 943940860, 780978359, 514217265, 312158346, 106771960, 1065516395, 816288078, 870480238, 288898197, 613994255, 1008849651, 1070632478, 669251547, 865326, 139128030, 839609376, 780982978, 411979033, 487360589, 257777654, 333523790, 607317409, 521314235, 935139570, 119593639, 996827562, 751829367, 972988459, 496992618, 862637457, 802111345, 709917972, 138960811, 293903252, 804490603, 768307693, 1570416, 84889530, 631713355, 519331812, 52704401, 183109452, 392075069, 591419097, 744697839, 684937627, 519974122, 279223185, 940826704, 312219079, 251854826, 119349564, 936714930, 955248938, 715741190, 113385585, 647840474, 532876107, 997074401, 286759263, 789889853, 854427135, 717239204, 409664225, 61146509, 998483901, 523526410, 947416920, 148711328, 392234240, 1021538201, 994487386, 204231142, 185514815, 378405873, 48942983, 314013095, 339162299, 1072660472, 620210802, 904285922, 276886415, 440732673, 31989127, 143396102, 855772963, 453195770, 704829419, 768050695, 362601846, 85223767, 941151450, 1071848282, 321095048, 553342021, 97152862, 301493733, 160353016, 818767764, 790081308, 62177011, 568228873, 587571568, 319923880, 117377168, 523933496, 1014433232, 319595540, 322061130, 1054655271, 183901552, 998694874, 895804375, 580541461, 668492748, 1043367618, 411693785, 551416497, 683595608, 895967937, 935883598, 868958985, 227262182, 766182471, 1000690886, 800704213, 827459235, 36961081, 146582015, 191894873, 62842405, 6975313, 80074773, 337122873, 419132835, 185011379, 251301537, 782904719, 819779179, 247612425, 572203003, 655231102, 794490077, 751047002, 602153524, 378908490, 119126973, 441703193, 864357704, 625831849, 871026523, 394858578, 1050850890, 1024738785, 839831976, 951089918, 1006556861, 933314180, 1001403417, 429729048, 214991031, 342332522, 643470506, 142569916, 935579692, 77226577, 782108522, 310828441, 414644446, 373121251, 455445762, 760444194, 35163211, 502364705, 30753948, 277073624, 208922718, 45262434, 620337688, 991507382, 899737949, 541461586, 956024291, 90638879, 95811318, 746832160, 244488250, 167170659, 104864010, 118564877, 912502980, 398502741, 349089773, 389214625, 703797620, 557798681, 93753496, 726591247, 666107580, 97053685, 115067842, 935617500, 679809846, 752815229, 739204164, 210777481, 779965229, 320506146, 579300435, 714497163, 373495718, 766945508, 430450112, 492187502, 6373681, 667339973, 1013116646, 161526573, 132193859, 124689193, 205521544, 368701515, 163534613, 319132241, 475266964, 943842851, 698523735, 366802115, 456456397, 468980577, 473676269, 722836653, 639962769, 80497887, 896391264, 451524885, 478676124, 724677025, 595362590, 867583241, 376262715, 134652937, 455450850, 395976554, 478489749, 543656744, 685635428, 965956689, 652057202, 1007892075, 278485627, 873970783, 233203874, 720829819, 542444209, 58802008, 666616363, 889161549, 581552948, 88415508, 515358668, 729174790, 8596319, 232842982, 132659666, 1039463200, 290720521, 320547972, 950514825, 271017585, 773728394, 627671114, 491172092, 15222286, 983206317, 459210274, 10667212, 251727066, 330276988, 171934702, 986836095, 1005901994, 40381412, 516062019, 392598040, 450355108, 1038085963, 55761814, 251732632, 985933890, 807714893, 128844584, 1004063920, 1048103565, 412546046, 728053036, 908729682, 241747176, 413408639, 817389362, 388598881, 567018152, 1012392440, 474317845, 205309109, 519220452, 980367750, 748145034, 787438869, 876970800, 191307913, 947182846, 233147721, 183314773, 326960866, 488824530, 999784900, 314375925, 729393681, 89393462, 968791791, 294116967, 277302419, 667428385, 1037107454, 1062192843, 203581, 865424134, 389657251, 385317709, 79175266, 506005644, 920799859, 380768579, 317319557, 555098506, 659591089, 190290758, 896348046, 485975938, 543020580, 494925638, 321483952, 696292389, 57546017, 869669649, 696518236, 324194720, 701195443, 567578122, 224005924, 643272724, 768750588, 722645970, 942586548, 375362798, 643915950, 493456632, 668807199, 574321975, 282049137, 92836134, 161777101, 671671318, 49414130, 590486292, 1051934471, 906987552, 1060739200, 107782107, 789955599, 345958253, 191015302, 606217389, 227570050, 622887502, 349368143, 534401662, 107720836, 888022658, 636109671, 957037544, 101018003, 993478114, 354954063, 574308439, 464568785, 721421447, 524139533, 970106120, 449963804, 673838386, 814776189, 431050633, 918730813, 283002109, 833128411, 673653487, 957791600, 845073344, 181011003, 67762632, 254109435, 599098861, 1015110230, 110251401, 867639926, 111576958, 123577940, 94537574, 365019505, 733260311, 178579203, 993300321, 293205600, 50441450, 600856081, 813396478, 305119992, 387391328, 402149834, 490715351, 489191027, 215971223, 888873624, 940686539, 159601780, 942775561, 180001760, 41723322, 599151305, 559045003, 300006360, 415740942, 704983664, 1030042549, 258491434, 876309730, 123059324, 72169071, 146282951, 937060448, 825090234, 793655539, 972624144, 947636387, 258387618, 745006183, 513787128, 807233725, 832867008, 170211819, 246008308, 535588176, 495668774, 38637709, 177955742, 102419581, 785449959, 345313827, 780978972, 400967479, 226381036, 106410208, 542080427, 182553131, 185294884, 672193441, 939582523, 364775887, 629058008, 196227076, 444034074, 652160535, 609462167, 1023979551, 623631382, 408976503, 295368323, 120043789, 1055223739, 793355948, 785642677, 235017028, 376990523, 985174808, 82926738, 698208717, 1025234306, 109356444, 566984390, 933342394, 224410371, 180485915, 25184779, 964556876, 495182621, 629407111, 1051811512, 706908894, 556828829, 448813903, 99698606, 507069336, 410944696, 402394445, 93312528, 284335940, 1040236922, 241379914, 24450294, 29406254, 312477768, 395852380, 833631263, 75662287, 726208095, 683367087, 682954384, 160172893, 834007590, 734693208, 293307665, 95322761, 901498834, 163453744, 582298330, 530059291, 459176444, 426163736, 856973191, 1050458471, 541156831, 944583503, 1033452728, 681065592, 603641979, 287750171, 107812104, 655135930, 174402035, 996038742, 664042485, 272203648, 216683967, 447239646, 312185402, 607479554, 463237014, 699295787, 861044954, 433795524, 345066643, 606764040, 438234547, 594038417, 348394114, 308794168, 290030633, 539662114, 83276232, 161108756, 367312444, 739823862, 288127255, 133999452, 607741419, 31174162, 917068149, 987827980, 352026224, 391231564, 956342230, 798848701, 238530767, 346186796, 469290489, 467728659, 623956919, 929748068, 316620412, 11471389, 934732643, 515030636, 875434712, 616498549, 460067579, 104670942, 110855019, 625149794, 973962284, 979527667, 379682719, 50532284, 730837407, 1024198084, 310290161, 364562169, 61895082, 814266661, 350831132, 320142264, 366119226, 955469474, 135015508, 844919715, 1011444544, 420347919, 1025664578, 949913254, 502107386, 586435820, 662324072, 508335236, 31816297, 282312601, 94737591, 559411846, 896515165, 56611275, 465586954, 360350022, 268886791, 52032364, 683869482, 1005942152, 422381057, 298134732, 699264228, 946527837, 254777000, 926034343, 136022406, 680655198, 1046884166, 647041254, 591089900, 127332401, 36363395, 619535234, 901323942, 132177254, 894120673, 853656874, 44817185, 290220276, 1053306080, 39918521, 1030680690, 156400878, 692732014, 783234745, 114078841, 856654850, 881989548, 682202558, 820558200, 935888980, 715530585, 638999517, 593645505, 465691866, 1000038580, 1051620254, 757291598, 693618149, 927258363, 177199444, 902290792, 982933158, 882008677, 1072798778, 1026223527, 1052556035, 143079839, 288692952, 86396284, 835585741, 656128353, 183647754, 674978672, 55880500, 606288409, 991193409, 99866118, 936390497, 510686121, 280593146, 832248749, 319231191, 732341190, 361286408, 276419779, 894239113, 876811498, 628125083, 170823681, 23902787, 718446839, 266217873, 354725864, 794729820, 948114275, 932258718, 821830271, 295169850, 312024970, 102077834, 82357725, 207584127, 354250977, 590309140, 444116056, 438277986, 542979581, 90271731, 628270008, 602196932, 150611745, 594885738, 79441961, 31588645, 631851281, 586865781, 649633969, 997171811, 446364687, 851659315, 972025591, 644283675, 144685985, 722385598, 367491905, 615116287, 392730821, 494581095, 140013710, 26060862, 743451103, 1039953461, 51497665, 334012251, 788171866, 185633883, 649822774, 717774204, 424750131, 1060440136, 1004147345, 441179959, 569388825, 172374748, 1048202218, 577939625, 463256675, 732756563, 340239556, 374216709, 224416448, 373224418, 468305412, 512020, 53385746, 661615459, 742540160, 546489402, 513408533, 372936371, 298088954, 92345398, 970417125, 164382915, 669411305, 743688703, 326267950, 216711018, 411008789, 905131341, 515326653, 1073199309, 367732697, 187774233, 849545442, 665534318, 136401238, 93274479, 953592983, 474939089, 764565246, 161420275, 5716261, 75375080, 555091814, 333639113, 1012461411, 245223041, 858427369, 995877230, 1051027904, 896079037, 149576216, 613900677, 966425743, 96181608, 539582261, 160307869, 736079082, 701951787, 926652611, 300355725, 159233719, 610466101, 129470028, 262829192, 753764172, 472377215, 509465818, 291344511, 61690949, 873014772, 754754755, 1067572712, 288091729, 669549306, 953590349, 325851078, 486040098, 701681188, 373968010, 455644245, 577273434, 99672206, 696914766, 546467057, 637842857, 790169071, 876788498, 672913986, 587974618, 1070883197, 740769583, 714088603, 1053399589, 96239433, 241893173, 120987958, 403421208, 942952334, 582871922, 530491450, 1015968729, 955232181, 512857714, 729365916, 780838057, 150123054, 922417204, 998914101, 443747146, 371020783, 362631518, 865455577, 860154534, 202394936, 318411373, 971594827, 339441341, 278686595, 781222835, 799366767, 761390083, 608310420, 881556756, 649205017, 218371671, 1014508124, 334496949, 956606453, 718742889, 98462998, 99896228, 164893934, 368483733, 568486897, 152911601, 449343571, 744048698, 408780080, 51936420, 611860915, 378914622, 388471923, 822478127, 9192536, 266164663, 948174796, 395117826, 334150519, 661062750, 683558831, 240695141, 1003544810, 168590540, 342725599, 275557700, 899760085, 586365413, 259497749, 172904880, 932112736, 64524229, 272148707, 910475893, 170496217, 658313418, 438706570, 1062827752, 183504025, 865094407, 896728506, 439204193, 970434789, 7640093, 52147317, 470588271, 1061887354, 198767876, 572462684, 682573913, 431261501, 53516809, 5610294, 124805028, 997201446, 83367149, 4354758, 570494409, 103569625, 133538333, 821655069, 242032038, 11074237, 900667511, 956522625, 894372001, 335867034, 969568867, 1061043230, 363443423, 224813678, 114041389, 660924312, 713842552, 806405643, 21903275, 767326868, 529033847, 503669587, 947589596, 99746286, 488949309, 659354971, 144255470, 768634289, 74169341, 1026888473, 322783907, 1041291270, 560376659, 247897217, 56470192, 224332052, 260951774, 722635469, 488296966, 158162916, 223212404, 741354208, 826062467, 192599797, 312601929, 285173931, 688328611, 67519394, 231410990, 816202966, 798134742, 176979671, 303064201, 13026343, 1049146676, 241068491, 863337796, 400772803, 963995451, 545923810, 754521826, 893744011, 805407097, 305171604, 645861943, 195933953, 129201309, 497751887, 221575547, 73126524, 262621955, 92131345, 619984477, 366939703, 869935238, 854431774, 829478957, 1048249477, 774205554, 746581096, 129861725, 987920435, 614418041, 411398408, 997098968, 83234269, 371828292, 913735849, 939195874, 168226738, 963906442, 771252600, 990447703, 628827050, 416321078, 927474579, 782095064, 90715403, 715805866, 593239655, 618736922, 365743111, 778398918, 790598213, 955285033, 408131437, 299921436, 274539793, 624052785, 99442499, 121638613, 1057740108, 60248193, 13483651, 473414146, 87227653, 289097635, 549489253, 355353125, 713387185, 785216547, 481109733, 399817308, 206442579, 996237607, 174328349, 1003696697, 246817968, 390241636, 347755268, 246370727, 915514027, 659585844, 175960414, 1040075326, 775198940, 306463771, 348755797, 878978927, 959575649, 28952120, 337862505, 220921339, 228307632, 310481717, 829676254, 826207835, 300241152, 509516846, 459320743, 286813757, 406140123, 633154344, 249780339, 896288132, 813103744, 779315850, 180285499, 612017178, 336754111, 983611577, 229081896, 458321705, 226522053, 750722240, 1022020217, 77572746, 789849892, 247747954, 894736055, 611832984, 301367469, 630275331, 815132713, 710751894, 731286411, 35839653, 998933356, 585050770, 926584207, 67723382, 857417025, 602217535, 936752272, 590713822, 951266232, 101459105, 169525468, 252675436, 321880553, 820624838, 152300912, 442217899, 67421800, 324894397, 753291886, 580236047, 107109330, 166838506, 337765511, 478038945, 950210401, 857098004, 891478912, 751078712, 953870186, 133351047, 791965104, 262066093, 891148437, 506621902, 817745419, 527385751, 932357594, 1045183221, 801113775, 344682555, 1007737254, 645522233, 144666030, 715866879, 91010203, 148066600, 515709672, 299881754, 729229361, 1002782681, 691011084, 3776944, 297081427, 229267677, 971363255, 311519315, 50775011, 372768262, 1017824208, 167292135, 729850465, 497294362, 180151313, 500260965, 1019944715, 989714044, 664825703, 229290688, 998095696, 955614741, 757612081, 107265024, 538120675, 517737766, 633408114, 226163928, 613575391, 275536940, 534541479, 947725704, 802018390, 380153135, 987779867, 643302400, 476426976, 221394052, 101214576, 606277668, 920538448, 687851411, 216925926, 278574898, 205815851, 405342029, 638299069, 281375140, 27408644, 198914129, 756616769, 514540443, 961760216, 280253894, 171596857, 552247935, 727870226, 642550503, 425741775, 702804928, 919836634, 40501390, 836263234, 798902257, 643937865, 876929031, 505524044, 251484421, 1012163703, 75827295, 783107484, 671043084, 192669747, 735907121, 337273418, 890302452, 1005052238, 952248901, 164553209, 585925686, 598394430, 97096501, 654722250, 271405519, 71030548, 451248738, 312115214, 959706212, 991072036, 441112459, 497416725, 490583713, 396224612, 624908568, 518717173, 417957517, 319226717, 494745117, 473243797, 69425268, 496900045, 919895268, 270432096, 447570761, 152932400, 1056695734, 458566912, 289513258, 790025054, 999871609, 1019424348, 3366671, 95735649, 180550557, 307905592, 1014163778, 46377070, 559268329, 1005795348, 75749907, 528660310, 617185006, 654595540, 340391475, 667341973, 627227686, 911321781, 282133393, 807911173, 2336233, 417077330, 901026042, 684078090, 181922397, 643872094, 293074536, 12141306, 176742688, 869370857, 119934895, 609497800, 23135974, 604632011, 406273323, 515526549, 500807629, 839629979, 824036799, 911414343, 355097634, 21150916, 616782641, 449685467, 253768373, 60136332, 452331826, 246266313, 958809750, 1033547404, 161327755, 343809551, 453683731, 94093012, 394770249, 1050639496, 121831650, 286302184, 347168282, 556546329, 391181726, 563362340, 843249414, 189700520, 352350983, 769985920, 47945848, 1002948087, 717884555, 978166997, 1026121147, 565038812, 192720621, 531351523, 700063758, 235790526, 494826764, 877169429, 891441890, 82460473, 544460972, 456902438, 186681861, 323779806, 960998693, 726670064, 1053008583, 175779753, 243819521, 766627215, 78116509, 560545786, 468248013, 469969772, 307332933, 145778040, 8844617, 610219099, 145360115, 257553140, 431180807, 493004712, 19010848, 943870409, 548449205, 371355085, 906952902, 481160254, 834094668, 541265259, 545800419, 235222395, 653594507, 925917201, 951830879, 187193134, 737843620, 387419654, 51625841, 605383668, 159822725, 735649341, 786175332, 220903897, 164260088, 938811700, 605859917, 188590864, 678183467, 525321887, 233434401, 814964001, 973809709, 945058750, 66757806, 192769338, 434883748, 1072380403, 727951882, 14857097, 92641963, 127206017, 673205822, 219563032, 358114190, 1027689262, 756700140, 425995946, 1055103229, 425827038, 1034305363, 67027868, 873055064, 513178826, 531245608, 792187438, 1053998611, 77789368, 26313938, 1047054305, 1051641823, 741291145, 1063877242, 313056758, 943315211, 102955627, 925596165, 4312474, 855679517, 711871407, 582145026, 630744777, 82506279, 308572380, 858154298, 837906814, 420374556, 91505456, 75909120, 889138331, 428378204, 900603762, 1004712132, 422982830, 982919777, 887089702, 25647134, 669016343, 292294508, 218006762, 632697932, 206029671, 757648438, 705867790, 89603756, 1051024036, 202642859, 489081541, 523496438, 728748566, 1024953224, 4625128, 651272456, 908831160, 227009987, 988475471, 300885626, 1064146966, 973016328, 203950199, 165686287, 356286955, 895187391, 467313930, 1027351719, 780219408, 890119367, 679799501, 65182663, 870841365, 456447123, 649600428, 500718863, 452787331, 863948081, 885049632, 244495606, 817601589, 848072408, 537562746, 195683860, 809781475, 989255930, 401870029, 289415613, 641000336, 544528377, 889706492, 444441409, 1011498453, 561795375, 354059237, 677784487, 741859470, 867485285, 155010945, 20826848, 956447214, 38595593, 998076573, 758815681, 421512165, 666784583, 464273733, 1045927231, 444777483, 932915702, 1058674604, 255638841, 137530308, 41948812, 353041691, 999995026, 717137798, 813905687, 106726325, 542432285, 214846310, 552852226, 481707004, 358374083, 11632881, 705155583, 126793440, 847939274, 498004864, 631041782, 371825484, 607290025, 640084303, 1007139583, 219651395, 710279981, 17145712, 242959476, 982688056, 109945378, 835724262, 650922442, 954816802, 794995216, 916713987, 180280588, 975912154, 1002732312, 54673755, 728626657, 384328869, 388604358, 1010471270, 353660512, 128172256, 589086311, 922624693, 521384567, 58447388, 677741486, 1062276087, 238105832, 343043315, 520535170, 18435714, 748737657, 638017722, 655063727, 271445466, 68332626, 797012958, 221089567, 848019391, 173881754, 90998229, 293882594, 318772278, 733982812, 150291695, 111677540, 170103251, 125394721, 8543969, 810757910, 580206085, 468685401, 149676686, 327444819, 630252249, 764013412, 890809749, 591750180, 476665160, 640310377, 607021625, 653219693, 909394023, 208228454, 449163385, 109444383, 786323517, 183498601, 109410948, 441197458, 130108663, 912926661, 836383100, 989490154, 303475803, 835286451, 281808811, 161693503, 495110019, 677196897, 435365854, 703742836, 653992009, 153473454, 984175613, 474628307, 73211968, 324726379, 1059104598, 13534967, 154345489, 268565064, 822193915, 504604109, 341065427, 505848621, 854907276, 720403301, 17075802, 643034710, 917651358, 871167538, 955055244, 679001077, 25447263, 932544882, 86238955, 372056514, 469093036, 872400084, 382778901, 498109675, 498164180, 683429767, 731792414, 676521670, 139248096, 309648476, 463401057, 440713767, 119249436, 722728247, 563482357, 296973432, 855961826, 434312735, 248416875, 982922782, 1058494488, 637778501, 395171417, 428119837, 974837885, 1025451105, 841474127, 926150283, 463801734, 1004720433, 122663415, 583301429, 152602963, 35372983, 11013336, 1056332604, 255981753, 584934461, 673186191, 504486049, 476226116, 445543147, 674913962, 195587969, 655856479, 584526384, 807347471, 630098621, 927861117, 757224772, 1031914296, 728571938, 883823089, 897361961, 1009075292, 720975299, 1026725712, 1024726288, 412321278, 297787823, 2395793, 542161897, 529734302, 617640797, 400977179, 298580605, 315440144, 385713959, 895176399, 742913169, 466421189, 919579903, 851503464, 478412162, 981335122, 313203070, 652107600, 573955003, 1036316526, 143542717, 618322107, 593261185, 970224758, 561277390, 23061379, 176071862, 899329018, 763241205, 525420743, 1034429327, 615646028, 74197033, 810066655, 811284727, 232362612, 1027018413, 436801374, 202704845, 838865730, 786318729, 906225476, 251134699, 830663436, 275034176, 50244242, 304725825, 431408632, 811769351, 852130669, 179585459, 541861643, 495170837, 349395747, 552991815, 287334535, 670094511, 395572410, 465442378, 776588941, 872607221, 1015565180, 536727645, 422786717, 175505016, 114960264, 781046781, 890300881, 490263883, 103523111, 199570880, 261290490, 543167327, 860973293, 289779156, 210349177, 305130467, 477670786, 318216809, 874945533, 567675031, 422008370, 137919736, 365799585, 650801040, 683974479, 69992016, 554140742, 603112096, 412982755, 651823188, 817867639, 974974551, 356307450, 360344176, 633548741, 269674258, 94742806, 64819604, 898250669, 993619249, 78010821, 442848726, 791092392, 710166545, 745014566, 450291334, 808720930, 346508561, 849322970, 307606140, 468334781, 11886206, 5970446, 332922542, 728040666, 158140741, 664068066, 5263724, 433471993, 627620612, 376236921, 891195114, 675667282, 952325804, 194611986, 778703133, 162528400, 1049347846, 225292059, 565355658, 15127959, 390093817, 930103552, 1001373480, 190643964, 879487516, 946104512, 163491097, 18468926, 478169249, 867653341, 775996374, 345165614, 352185125, 337146080, 845112622, 356730002, 522274705, 980176311, 911550362, 615063202, 386356504, 499996095, 594913419, 691786266, 558869631, 1038425105, 1016549489, 533019167, 921984193, 431032873, 396663345, 307433111, 611450815, 357197784, 217689257, 965877974, 298390269, 694807589, 229675889, 150811760, 119090671, 677755636, 90926880, 992262859, 31465656, 988716668, 3213586, 146266525, 725371322, 1040299009, 386514024, 944542492, 886628510, 761956433, 71817281, 823618536, 700344595, 233936656, 63555639, 167808985, 343012910, 675197024, 340497234, 417886648, 280740951, 635231552, 569128235, 798065594, 823679102, 62025096, 155753772, 443334968, 143473980, 66706489, 68047001, 1039010287, 256411159, 197631088, 50462557, 382842236, 79477375, 575091860, 249757134, 1035447830, 222277511, 731700654, 902388245, 696156760, 108339909, 21281179, 652435360, 265782637, 767446509, 742841434, 573276444, 956878285, 467516877, 174539235, 143900972, 549234543, 93284984, 183283423, 801862434, 839243250, 919664392, 465013632, 457492302, 1055250759, 616506155, 859464891, 844452992, 60507614, 138823797, 152386682, 148264394, 143060513, 1049693051, 1035425330, 353532082, 290298868, 569312179, 522145386, 718622920, 7953467, 837858386, 98611925, 1033357964, 1058293637, 889978152, 958944889, 721142649, 816003440, 705583621, 256202226, 181335065, 834924522, 388213438, 508045096, 906646214, 112443495, 952352912, 531645619, 775454669, 374244550, 365415824, 1057923056, 204852363, 164117957, 749244562, 489210345, 214897391, 1057474268, 869563541, 127331948, 863276056, 401616336, 99921504, 413736048, 253239620, 24377392, 652715129, 989807467, 707167167, 962525934, 562223393, 139199885, 685633095, 838498808, 64711732, 610302645, 641380118, 272630100, 445803887, 119115784, 1048487387, 354926721, 505637796, 450360802, 242785764, 243752971, 435061462, 530404518, 572576485, 796363270, 307151787, 343267530, 168948110, 906992250, 225670186, 671498329, 649336888, 968368859, 724887460, 44009798, 1039158129, 1049766657, 1015857186, 743987003, 10255749, 967162446, 877812321, 51250159, 674443172, 118555879, 87904186, 17925245, 760199344, 108125182, 426212590, 1071497690, 143816340, 338267674, 115239067, 845271136, 1004184184, 984939067, 738436361, 854324003, 309130924, 157853073, 676864752, 1019282595, 284889062, 448690808, 6631228, 967932247, 627234222, 310551360, 251567749, 778275269, 495334273, 849900973, 9905672, 120161768, 1069003622, 1068713375, 36123584, 834941296, 1064027926, 617140611, 1016493826, 735647722, 978856326, 235672802, 160253535, 811599420, 995193247, 385361194, 173399109, 305200418, 659611314, 962248912, 746628073, 517350301, 959361469, 1017464685, 647467506, 757431268, 795929427, 659860933, 958669389, 531503404, 728517536, 343999278, 181568396, 322362246, 582084595, 841997373, 748072231, 323192345, 166246461, 197520058, 1064849285, 937730869, 429534649, 507387696, 523327850, 399934658, 959689181, 17117810, 223300165, 231943806, 424701946, 783129346, 459545605, 175997169, 586463076, 275588145, 710350451, 105709661, 683668504, 712829726, 913461991, 106541991, 148409341, 788272907, 173538936, 861259419, 854349426, 23249765, 33426186, 1012751915, 918652650, 925609538, 421045919, 467163812, 428585777, 582456754, 236327769, 969273536, 929792250, 887258660, 624440152, 785252340, 849085269, 573687787, 918175957, 343355345, 739820602, 965566255, 207508153, 188742483, 223418221, 499222944, 437653027, 298265534, 684726977, 1062442624, 246513693, 1021018875, 443337899, 838053568, 837172206, 945934177, 790707755, 961592219, 531913461, 597314587, 1042296882, 200492613, 313283262, 804500776, 576536731, 1050145796, 419440913, 613594369, 404536532, 530766953, 638103050, 379151027, 993433153, 997129645, 579574623, 704416682, 924909194, 991963356, 393165569, 982878979, 830113793, 866706118, 1069802984, 396949815, 713751382, 974343061, 1061832486, 105488280, 368072271, 224397933, 422720388, 910358574, 587876897, 140156901, 739605941, 790892875, 456932024, 162495794, 901623098, 459378668, 31749894, 695693426, 350148613, 877826567, 376556753, 73380965, 819248204, 327962517, 553486876, 497161185, 572829427, 299888573, 331562251, 310734476, 1062106547, 177021055, 625409557, 639878842, 545441114, 1052044525, 874375235, 820827776, 957814850, 136924691, 718402165, 501726816, 698096548, 1055924910, 125112202, 256610672, 17756089, 5073964, 5750129, 515671635, 370841377, 287662881, 946626272, 392910406, 292181955, 566912054, 197423110, 586783764, 344762498, 663292693, 83015159, 42973369, 157165572, 744558075, 660162701, 911987277, 196898213, 280368175, 584102203, 537738348, 533599547, 259186473, 66478809, 93166147, 466508343, 1007911183, 335250279, 323429424, 747173007, 778767802, 734704851, 786514606, 849475955, 681460387, 409631222, 744997058, 43360770, 255035601, 806483019, 171444216, 640490253, 931177619, 586044166, 224757163, 997540573, 132812822, 648049810, 776131133, 262485889, 483969069, 403705036, 676572608, 652608508, 476812309, 898706350, 703399638, 462868227, 663773804, 881891969, 140925750, 539415758, 253197785, 939843588, 989191779, 864569593, 936223906, 601537266, 282988053, 269829451, 1013104059, 842844538, 708444303, 437574752, 944751045, 524749327, 631946611, 699738770, 128302719, 348452542, 26678324, 427773498, 582187148, 267869202, 6311254, 736348009, 128386440, 843769685, 520071493, 369467125, 17658698, 292614242, 260056593, 40202595, 726669573, 831074591, 1014254511, 966380907, 613332291, 1039171592, 219804606, 992384592, 243418213, 667086761, 797483836, 901401090, 962334786, 54414230, 1009043482, 443356340, 452824752, 258402027, 827478086, 70894995, 883356542, 722679275, 272688380, 1053806693, 722655034, 326668348, 11589459, 407499174, 270648934, 94545733, 563356507, 682701253, 715505503, 978416716, 717822745, 325584903, 1043228503, 821325232, 1042480560, 318775954, 421654530, 702753621, 218652530, 724878127, 309908896, 230692868, 275955441, 970898267, 480369898, 702140292, 936933457, 47372296, 904419652, 966321755, 795209896, 632808384, 321697800, 628686944, 924685604, 100007805, 748631530, 30163491, 899012082, 608143022, 221508399, 479897377, 1054343028, 670187558, 603083790, 940108498, 995424218, 321975010, 114436460, 552625316, 118205954, 286087805, 638999071, 300356547, 809232097, 1037932532, 180573992, 951033252, 760246495, 44650507, 884275028, 394556586, 668849419, 55580970, 794066213, 45920861, 352598174, 197584756, 907139225, 410188852, 392259252, 537715505, 114435165, 117802932, 404720906, 880273714, 336424371, 260243321, 654911763, 244631958, 36924117, 551503404, 498713104, 141283522, 78903067, 203588029, 233929689, 48060657, 483045693, 829928771, 35300931, 957827556, 1053438330, 618432932, 786091690, 773084112, 437160558, 1045291148, 503948254, 680986247, 460662648, 42854025, 30451965, 238771922, 258494984, 874526165, 495802331, 479324789, 46631397, 752211494, 546156848, 33100061, 266590874, 148689465, 662852733, 46268201, 1064424099, 881722616, 522746356, 179639514, 427297816, 244803102, 837758807, 443658707, 675964793, 189653301, 867500674, 170805967, 709660204, 39168732, 854071470, 385449671, 208237981, 448859715, 297522110, 1024365256, 268986086, 291426850, 384515185, 793049294, 865046679, 283261566, 943593216, 728900145, 420477423, 261428094, 536470831, 57454413, 160445911, 79018545, 382400144, 209091371, 54084195, 181955730, 1042739743, 408744220, 710440599, 173903034, 297685947, 491409922, 178853952, 1023221950, 408502707, 67953300, 922263847, 264054876, 277257200, 268884346, 309342735, 852465087, 1066105359, 903704438, 288421388, 1071515369, 351621288, 613660931, 730602312, 454749790, 548937296, 159437622, 560442133, 152105542, 1042726688, 942803985, 556310728, 154331381, 851322194, 800316306, 25933663, 656932867, 480401341, 74243921, 129770495, 960246304, 937413589, 92420866, 1017298915, 999638450, 13807403, 586182047, 471909962, 496768158, 76738749, 232958527, 13088643, 205370453, 177481780, 739427050, 895730941, 93028115, 144793104, 1040151226, 289628181, 910179976, 449066343, 428164418, 552893309, 816611364, 571912511, 318170081, 593431965, 453356389, 913387782, 550151982, 364241422, 260411607, 820728017, 1064316587, 480163587, 485145101, 500376455, 631643208, 177309566, 822877956, 976400611, 505213875, 347526907, 1005574746, 539946812, 369059735, 685884185, 1045205617, 135243563, 645626396, 473989953, 618307929, 305145627, 484353924, 507143493, 922344885, 241366617, 311989853, 788940301, 1022731111, 372966806, 272801725, 592364877, 467404340, 913782594, 9815963, 517426180, 948490131, 29995151, 165402206, 934411633, 1003001617, 553567124, 999181778, 125820994, 62629661, 403905919, 513983074, 48108741, 576634732, 1043016815, 632337366, 868100718, 280172555, 1024078843, 1021629252, 834519114, 803642178, 277363183, 342072189, 489141372, 919005403, 258107655, 845364020, 317146087, 193611233, 10259959, 1014564986, 423293353, 792093869, 721516772, 22316886, 1068818424, 949646042, 469233061, 758026416, 435946445, 3593827, 1023582123, 726800920, 323569224, 110374538, 906096783, 847341287, 476972215, 315044878, 501322038, 511424424, 961709877, 113456860, 248178235, 2600080, 961915876, 452478138, 189683691, 572273375, 408331324, 221878942, 691723974, 312899566, 117896796, 434676117, 817164182, 228052643, 714561913, 188258624, 301225863, 740610773, 339727176, 194991672, 91961599, 11375926, 242908058, 330033534, 704228646, 870724426, 131228356, 400810186, 7960078, 240636700, 154279119, 542150827, 480783188, 227556935, 202003282, 285222061, 735322244, 934610939, 422844631, 893762799, 1052744036, 433853998, 797666890, 777137060, 226304381, 43722674, 745001170, 494115248, 78918246, 293980356, 821183428, 409712906, 339616837, 780115143, 872860812, 871555251, 144721367, 131649073, 436472758, 588165409, 1000027870, 354031940, 593763277, 298961836, 54391360, 260409439, 194691952, 431898655, 350536627, 575827326, 1027678585, 773587031, 254567652, 101058143, 879092905, 1026839728, 558702692, 123059231, 844857873, 660100636, 862420866, 945119404, 201657575, 243773026, 691110384, 204151944, 543052392, 47032147, 803571315, 910624601, 635656651, 836033768, 915483741, 493739450, 771932040, 431847870, 175914031, 816347177, 27721140, 231904677, 593799332, 221495967, 992371768, 769903197, 131490959, 639673479, 637334394, 336275013, 658175533, 329561683, 183999707, 518061306, 80814507, 341426893, 828066280, 563897551, 549315414, 784942202, 337642318, 1050962891, 569456336, 876774766, 76681466, 570930124, 361857884, 681135545, 141298454, 305261392, 571845387, 1013349388, 852635694, 907136334, 838391260, 74728445, 358323090, 810792429, 152197164, 591338538, 93407672, 416169396, 669066933, 995194241, 502657729, 810262274, 237185439, 224917608, 425718526, 182391336, 785936519, 287604310, 222085523, 609322496, 4419250, 375870121, 848989246, 389709963, 169693611, 753000599, 144564220, 154758217, 1025138793, 614068173, 292379346, 640242145, 183136603, 281790217, 1012564391, 683246765, 945729320, 807319666, 423434795, 281933339, 1060044172, 454431847, 434369085, 240656588, 221959292, 224603523, 427130725, 725067668, 1057462990, 23760472, 722480250, 761187912, 617361610, 1064134891, 121710450, 102845162, 17176089, 739861356, 831790795, 642368804, 631588254, 478158938, 698987981, 180671810, 1050815809, 281112489, 996738045, 183522437, 475162859, 687716832, 695678753, 16992992, 978300477, 334268690, 524248551, 143644396, 515975993, 97543192, 768308310, 945322495, 554116214, 103441293, 687153466, 177616456, 619352402, 941293788, 798778839, 1065968575, 331242217, 558605886, 1007899656, 413805721, 860085716, 1047364859, 720926581, 589540823, 656547067, 327347952, 1069524314, 209979615, 740030147, 629956863, 498827641, 861682407, 605245675, 215732860, 5148393, 231937686, 783502710, 902696941, 105353619, 220216263, 228526177, 173422323, 73283161, 825650689, 633097368, 822100138, 1012956219, 979286357, 288595154, 732950626, 944689001, 609330356, 501891006, 52473920, 443964861, 873021112, 131319752, 304816898, 367092045, 477938986, 670294629, 521467160, 825515903, 145069725, 1064533183, 673329083, 122620073, 254307365, 982791713, 551811320, 259758741, 612608115, 572700771, 191176226, 97588642, 781743329, 995128790, 392583755, 99881419, 351016214, 429357214, 841306130, 464089528, 1072116735, 972691496, 919846947, 291371552, 562544348, 937155316, 212767396, 774272006, 520537765, 631526801, 680134503, 868700071, 287275895, 292844501, 94959477, 204244152, 517039703, 649921688, 480658337, 103064473, 429110811, 135331992, 749355718, 807256105, 693499703, 1066613231, 857942041, 622654356, 52167153, 836253484, 60105085, 320309316, 781243253, 131491098, 296166519, 750684671, 184327950, 765504579, 418721223, 870506336, 965410779, 461093675, 796520564, 697586559, 488121815, 870301000, 896192970, 822662130, 329420739, 878078698, 321672527, 391599510, 419937922, 958012473, 1033100511, 40039297, 977001351, 469096982, 591761401, 466093348, 313803517, 57881124, 650759369, 81915163, 788627186, 37903516, 12556330, 256593118, 491915665, 712708826, 1062398544, 810697040, 15830623, 136386514, 187070398, 997652793, 299605948, 860509406, 997846287, 688911530, 20145757, 423562985, 1057698705, 1065894536, 932698968, 45098277, 820165292, 750049389, 833812245, 724683459, 585527085, 61811716, 370952692, 815374901, 29084434, 158778937, 117092490, 218168636, 188601133, 44888549, 351278800, 482524882, 836999143, 442495091, 609982673, 861317303, 62862092, 509416227, 482107656, 911212902, 829054084, 958029091, 80290659, 504501025, 644163003, 180401785, 975386393, 677690111, 421647264, 4588454, 1021500569, 568435662, 982165725, 492222069, 299721689, 57424937, 779375672, 123075177, 311226699, 963101677, 420137892, 310886966, 903724912, 651370611, 973736057, 901731674, 1062117153, 270537166, 601259771, 1057125743, 288621086, 632080472, 664584860, 599420821, 654664695, 825397029, 519262056, 827034907, 465986120, 142432299, 1012297635, 709604786, 717610520, 814114061, 875604018, 574418865, 84239721, 708739039, 399892798, 771171586, 466511529, 551675252, 1002931749, 333695516, 34276402, 29841450, 95469241, 51077165, 995114682, 740184866, 54788007, 175139478, 621016122, 37715174, 513821960, 1022671258, 960612295, 948523377, 580610577, 602062254, 867704787, 345938207, 1009258861, 549938578, 72681030, 584712422, 470853382, 114025742, 546789394, 720576469, 213588815, 793880729, 1061872270, 642151456, 600597770, 535493323, 973695954, 832504321, 547014131, 205414754, 286312855, 633054379, 394078626, 93217047, 459036280, 296413611, 777463277, 749216296, 377514452, 352318653, 362140685, 403362695, 86115265, 163818177, 1033521897, 614894209, 256959642, 992886672, 536854775, 1024695412, 522365911, 380417340, 82878940, 971009503, 772358594, 832180256, 1000299401, 40944590, 769334324, 914342753, 340129944, 631018749, 816493987, 916466175, 804764875, 787715193, 785693737, 675374612, 948971072, 441702415, 297042223, 1002758193, 515159228, 182291395, 94919806, 191832555, 655851595, 779619620, 66611960, 965381605, 264930021, 725440923, 416955800, 317086257, 492662749, 1022499319, 434089091, 42669840, 570540914, 820970579, 668724798, 229072572, 375463261, 836759007, 723788277, 925286823, 383243362, 1023147809, 848747891, 866616436, 695901196, 369344995, 485892336, 212900962, 574034144, 727621925, 99003358, 1029274862, 169611624, 269662091, 51773997, 926849842, 178743125, 448170084, 200943332, 677712297, 749860559, 837611579, 641738724, 1040174850, 220285500, 347830776, 598577042, 372104025, 428566313, 386196680, 1042496800, 213565464, 461853591, 1002691852, 813095859, 317258867, 592798880, 165646663, 336019949, 878720185, 1050910209, 1044458701, 217561640, 540446294, 30217638, 445196869, 26470943, 939142955, 702061819, 205637973, 516663970, 957588028, 978041769, 205096485, 302569163, 127360664, 619789222, 660816673, 189761648, 188008262, 299339900, 1067387872, 848407335, 1007772597, 1000552173, 687387554, 257850828, 832139450, 613876048, 728215648, 165819821, 857633756, 145429360, 922747259, 758042530, 148174209, 458664581, 751791042, 314035574, 549967040, 651546286, 917325354, 412597931, 566061891, 803488345, 463062865, 358819190, 314695288, 176067638, 33077084, 301753363, 839679387, 1028562180, 144562350, 919578181, 351161616, 311202915, 180850268, 772044637, 868253756, 1023077733, 751408658, 793295, 102116598, 171817254, 46062168, 799173106, 589301860, 165548472, 357741509, 106281818, 325615237, 651163286, 5602116, 205164513, 652191919, 1065175124, 356492187, 226770324, 81101439, 419398285, 471176356, 724881266, 320001812, 585048992, 501820376, 914953558, 371872075, 289922337, 47127886, 655007294, 183055486, 252804367, 1042469765, 118695845, 531007479, 119780984, 450836757, 621085607, 973668607, 308399683, 106114616, 405048947, 291053564, 872628282, 476770907, 143663056, 915631143, 976769912, 789644245, 674000916, 408227262, 953959769, 796376982, 265619152, 431894743, 39064183, 13996548, 212274688, 950515422, 2482321, 5456125, 133211387, 157392829, 456715336, 548399108, 58178210, 252469611, 648862767, 16667797, 956598084, 228982077, 682534247, 694340273, 26156149, 789531824, 35738483, 666046031, 816915150, 1030789704, 205933068, 828650531, 404338798, 607451625, 863538823, 781439440, 852255280, 718340004, 1011878441, 739780058, 551205304, 825913242, 727064173, 175891699, 971498992, 192766209, 952909567, 116926731, 654295184, 680633583, 156960991, 14349995, 618993978, 10858771, 345584982, 547269863, 960286902, 406919528, 1050900034, 2917073, 646800508, 291786758, 438594620, 10496901, 23995178, 512367914, 81132740, 63565779, 696863433, 1054894236, 819509135, 387149634, 866752940, 975866405, 1013180126, 939894460, 87890150, 276177071, 708525029, 335337933, 1054861623, 951287305, 396915403, 320385325, 255191351, 637208180, 353568357, 639670015, 724504705, 405111432, 94589612, 540221384, 749156514, 878074331, 459930282, 109147408, 66307505, 854223746, 1057486623, 713460864, 700685836, 272708623, 609047873, 563048143, 374826370, 456540256, 278962183, 180375466, 635583143, 497920472, 841953240, 774802207, 651446956, 929911388, 42272061, 815976484, 254181644, 196855672, 347545671, 155017298, 158209184, 985158983, 725042921, 641746695, 781269828, 444509153, 290031541, 186213365, 836925076, 216996876, 845178714, 1918074, 627628585, 248063666, 223693689, 1011374225, 687974229, 102571376, 295666758, 96755782, 509811753, 979450021, 182819496, 621642335, 470251547, 636144411, 6443390, 520569186, 1071916151, 806177675, 75608423, 397741664, 736271511, 909266292, 155980321, 814896340, 112865250, 1019662263, 940260251, 657963028, 1019573693, 769751701, 163047205, 430450535, 68267163, 755470793, 507691313, 238248896, 955380392, 209929639, 590592218, 5056932, 812074183, 58059157, 842119218, 295937503, 123298663, 706684613, 603853226, 106547033, 155761303, 395930598, 741562005, 163814995, 638598272, 660985247, 688429541, 773439779, 774652404, 139732114, 937006191, 129418339, 460848510, 999650222, 1022249656, 501741098, 203647462, 469594706, 9302844, 1012330767, 247054459, 325243437, 296686866, 344352472, 300381924, 546984596, 915445970, 392177978, 43767349, 509877222, 544130591, 416437400, 777306575, 1031369694, 437918066, 88265742, 591536579, 130536484, 1065474749, 434919675, 162823700, 996139693, 329635891, 804294456, 1054386037, 691488934, 33724788, 856116304, 116041016, 996964212, 352276352, 932901420, 421705006, 835458835, 838329741, 470344526, 660279381, 177503920, 850624437, 1011712341, 789482760, 156187817, 182658766, 837493964, 344140920, 31863459, 805090705, 49921967, 1819206, 630232051, 895107148, 879682541, 802144359, 605949977, 1038880939, 58415480, 992689064, 20260054, 14853561, 163169993, 938289296, 510921759, 847426147, 496234747, 306284962, 718550674, 601108298, 447626631, 989693821, 512759887, 157471829, 967758344, 428602375, 895846712, 126888451, 413380146, 464292056, 124179676, 664265, 166894404, 7453852, 94051426, 519498337, 503719909, 771760985, 927006586, 1035431728, 608252333, 252582904, 262165671, 86994802, 282430997, 197414313, 485051840, 410680872, 1002486592, 599831102, 763562379, 113300977, 327480078, 238868501, 561730112, 190071544, 459931857, 1022505087, 62047045, 247485444, 952154698, 119072401, 187537773, 341995799, 264997161, 248995589, 517301085, 377108572, 541374107, 633126727, 954626504, 321169734, 419923630, 1058681160, 869486847, 155033291, 924839200, 984523175, 922996727, 987356413, 322983414, 372279955, 84364683, 200031758, 517569369, 438610604, 435995572, 142961519, 667570309, 195914574, 259595789, 472376794, 320894057, 70210423, 613281911, 304376536, 156773853, 682488333, 462588896, 682911178, 446424112, 943078485, 582357667, 898667418, 700343721, 707742924, 497184820, 28493472, 1010837610, 848190031, 28175395, 600046762, 513044668, 373304308, 494907532, 1072342465, 851766064, 454617040, 594286290, 410002742, 358261351, 1044820664, 339231687, 541166731, 138732021, 396812064, 167259174, 256644296, 188843896, 126778014, 214638330, 626176861, 957508731, 570634048, 514908466, 905469067, 654711554, 890869259, 679262124, 572151327, 32473850, 635069167, 963331932, 392232510, 947966944, 530160585, 337192164, 740233923, 115098735, 935408377, 1045910860, 457930767, 104534307, 474405278, 889799865, 229557912, 890183913, 4011582, 176795435, 138089011, 811477988, 842450199, 629415316, 1060467414, 668291411, 327733365, 780516156, 951468354, 639599393, 57898533, 454192431, 158092950, 130695729, 927766691, 481564380, 494314803, 64693203, 1019214272, 273642436, 663788357, 315104000, 117957821, 275907895, 891479104, 848989929, 1069466432, 809038654, 935326577, 831913591, 574404234, 786606741, 503613609, 125778084, 748809231, 626732160, 800178956, 414455277, 315588276, 529991596, 561311772, 700796769, 885791719, 419168118, 174127846, 756246978, 934747797, 469976903, 338008125, 614043928, 341799587, 107237451, 633998287, 332895966, 529469746, 269171567, 888803952, 635210327, 983976758, 574966141, 824326929, 1061399359, 390031616, 954855305, 414243008, 81107529, 382711389, 618057784, 185667106, 758574105, 67078102, 864631708, 113272796, 787100404, 250013048, 1008246429, 360955406, 1013531984, 226203766, 659314019, 527671787, 408501973, 357665712, 933004628, 753583416, 1028173586, 310231465, 491704103, 178904669, 780773840, 454966572, 719693802, 521272962, 558948418, 238254969, 108062014, 35555362, 905825188, 496331504, 73899081, 368423726, 736983070, 845950523, 217381863, 415794335, 10082362, 47933926, 908913113, 90973105, 901304978, 321373240, 611235630, 72350244, 664792122, 242622537, 10214068, 244319095, 40813467, 564602844, 793539951, 96576481, 727234203, 796961822, 1060239221, 297570982, 155558659, 233814960, 136966034, 108178631, 262928397, 76158786, 835723852, 841227191, 467373660, 602893424, 388258909, 828248944, 493648638, 461569230, 460491111, 483971680, 134033180, 457488185, 602596095, 109753155, 1043813351, 618529630, 201864941, 910298485, 982533277, 221737047, 485750605, 825329918, 232247651, 838352189, 116808262, 92909010, 866766405, 117146621, 1063456820, 93526316, 20297562, 303583482, 932469335, 199822735, 1057716866, 177401603, 956962871, 588681418, 781379793, 245242717, 257931392, 896180991, 187865203, 1038264693, 861674779, 75281228, 624551622, 733705046, 540330683, 750621835, 727704680, 92432176, 58713977, 444888895, 606510590, 221456410, 628902114, 970752354, 557623657, 535815076, 569012089, 798224190, 461783068, 696733688, 383146813, 1041119240, 19764107, 207297015, 1064645775, 31146075, 253395129, 1026290647, 103460480, 811579303, 291746091, 673286882, 696245529, 179791908, 553067485, 258961401, 1036981339, 403067539, 441405531, 31210113, 1048001184, 523998424, 744462334, 191373920, 266348963, 363610381, 994301402, 339777380, 51466746, 423688656, 524582977, 164557002, 1024726526, 473367560, 503388274, 212987455, 896657909, 28947471, 37508494, 422359680, 779163168, 761703132, 671416690, 513582999, 189630644, 459015818, 1030692901, 1044922618, 619106782, 254018013, 82090372, 494337836, 230808308, 242054546, 1065539720, 999669916, 373633189, 703436897, 286363907, 661777171, 307839354, 475282040, 263433643, 394407991, 571754269, 1056834041, 75843164, 1051687531, 763524313, 687362766, 338838771, 461093207, 859419350, 1033189431, 633397683, 16806453, 1045658123, 839937500, 464905031, 462533428, 98354235, 830839112, 645800457, 501422114, 723292601, 146735751, 554531928, 578813250, 794463745, 214500997, 850400473, 343349713, 440113193, 36494148, 20842181, 145756803, 810036751, 91387821, 907951701, 984763217, 315648113, 820882382, 544333798, 998602048, 864742740, 547913954, 704218590, 724454343, 873427065, 87914141, 872537684, 558215805, 303340599, 1039119442, 468177062, 961804239, 304811664, 99996974, 804978431, 695150719, 750052447, 443523871, 1020020880, 940339457, 638637936, 440632285, 1009218865, 226811829, 459564196, 849230782, 68492335, 225778002, 886496165, 101234337, 592281373, 543282192, 1048665526, 1012088209, 288644619, 1054646778, 573249847, 295805456, 828214917, 524960178, 237056747, 979677677, 95975019, 1007761803, 420323810, 593542344, 440828576, 988532972, 340454925, 999743276, 541738394, 179026585, 843590274, 59391536, 267008129, 358785486, 896518305, 808659614, 401493819, 338070705, 401747487, 359618695, 691440941, 207187118, 804882841, 921903101, 817694728, 820133320, 727624009, 701950193, 625450545, 704422345, 597076236, 618725717, 495547474, 755319628, 318032433, 442238731, 391591318, 113586798, 1050634468, 111291190, 176718448, 89966194, 115724958, 421599069, 1053269681, 941368643, 461547453, 954927428, 183701384, 576153633, 691301707, 117374258, 896991178, 552124604, 754348805, 882850993, 162517969, 78632490, 161506535, 617723812, 750957817, 110388018, 199653150, 633889235, 416930159, 44493812, 709226226, 490788635, 832203713, 478881087, 14134791, 737622539, 49595582, 427768682, 888938740, 667433783, 549658842, 665537193, 554034765, 756201558, 204138212, 1011576334, 4143764, 946200576, 300698702, 612799889, 162110471, 736445150, 208256807, 971290849, 420379142, 344189927, 410182119, 356062029, 546888771, 452843428, 843671500, 471862654, 1057479602, 197151835, 545293048, 838519997, 61069686, 723961711, 992597675, 691963756, 947362213, 55703271, 116480404, 297938357, 867415108, 594904808, 979458370, 250047581, 396886176, 857927448, 180625321, 811720990, 307037218, 265750669, 107722199, 19995721, 707146105, 529097197, 342700838, 525398129, 191568136, 30187654, 753298239, 470706016, 460656839, 816673504, 259985593, 936807798, 264469484, 263580074, 9449530, 398029539, 773526691, 175075335, 783243575, 410110374, 431652385, 845885866, 339213206, 403222200, 689422805, 303765892, 389977124, 838847521, 240199381, 747569117, 27164409, 771244685, 1022880406, 924052264, 42207426, 746343667, 786020499, 64124750, 453845793, 337010978, 228751176, 283848665, 698693792, 510702229, 585757018, 42244459, 439402757, 943442462, 1025798033, 330543121, 395115669, 291418428, 303295255, 1049027631, 954100809, 208598590, 737876666, 54487472, 935836496, 171320917, 110919738, 808164080, 220460668, 229630296, 709020905, 596000500, 528631486, 776486272, 1069728286, 590891739, 337588525, 442698262, 796215827, 855077422, 719913496, 990862850, 345426559, 860116652, 103978845, 698446015, 36028263, 710798208, 299935704, 229558183, 373147282, 240493138, 213992110, 1057567430, 1070258500, 27779983, 459587720, 388058903, 246385202, 829808654, 628072236, 584880952, 264244737, 665632977, 260401445, 505151852, 1043107291, 1014666182, 949831301, 173126504, 908573576, 461498137, 797598986, 499621184, 358493969, 614239600, 688083924, 532065937, 183951260, 279420681, 404886626, 232800117, 872950711, 231430604, 318565184, 286096924, 478631044, 851611747, 706318365, 339443762, 458442483, 152572407, 947988415, 807540093, 868849940, 948774510, 142480409, 1016651345, 440671507, 167763857, 108848276, 122645132, 1002037954, 386415356, 335241594, 678024230, 30076955, 431723018, 751737532, 156876706, 1024860572, 1050071779, 839005832, 632642145, 439059211, 306805462, 318837688, 901667582, 111111232, 797702752, 340024390, 218073173, 296471811, 869580476, 743712659, 931922614, 249606990, 542960783, 487047178, 722058519, 509795484, 691534018, 490464390, 318897551, 972397477, 394118494, 865211244, 147839402, 181081769, 1036440260, 504860492, 86257595, 912378271, 775798771, 38132299, 1056288625, 754410303, 316267052, 979324490, 791418101, 408482434, 827548743, 255515747, 519039780, 211196259, 208096596, 1041937071, 972863199, 731067093, 843278264, 295679861, 1033262558, 114640909, 703713371, 778713825, 733491271, 861976220, 625232663, 602545474, 879989908, 885032446, 647230885, 973514943, 695350639, 457518570, 229449392, 218690997, 456747763, 1019130219, 516644890, 170928305, 835613583, 839521613, 575915018, 712327293, 48375304, 798107472, 910219598, 1044959979, 199022632, 845973743, 694086298, 323893786, 764860551, 492487515, 775743843, 29350849, 27771578, 253303679, 536120732, 870676860, 827028234, 1032817264, 78762649, 748479094, 600279836, 885977369, 222884449, 954262796, 229137044, 997026174, 729597161, 934357067, 208240924, 178855730, 680594323, 922245046, 766184938, 291850512, 156588245, 957686332, 416865360, 938986216, 32787174, 640879864, 374721886, 558939656, 112381001, 952135475, 180989814, 429656775, 215034027, 286112470, 115357515, 95000059, 696432896, 44121614, 903053515, 894425231, 357354397, 967913195, 102190489, 564728282, 445698426, 185341767, 100320518, 857360998, 231268546, 102216847, 538902940, 815770222, 147214774, 343673219, 716859448, 892058421, 937002584, 974411758, 24771464, 965915264, 372926003, 770066879, 1012357687, 246727853, 457319364, 605948666, 650824578, 732300988, 718315381, 184949770, 266585807, 307697516, 436325650, 265782302, 872932298, 152596579, 781005912, 607608719, 241611404, 991691878, 70357500, 418922158, 688121815, 851742664, 46362353, 606978439, 209080722, 272704043, 83954682, 270224694, 970154679, 308418800, 937112387, 984938329, 682780408, 418325000, 139516487, 942558691, 639923271, 856574224, 333359803, 393006702, 816859938, 32568440, 424216758, 942548101, 761600865, 510826300, 222251052, 785492935, 587178934, 109637248, 966103481, 665153584, 697863487, 812175435, 388781863, 661934555, 519284301, 71393184, 400661118, 777031642, 193784163, 463412125, 342607543, 531614115, 108656633, 424525360, 388876673, 687287687, 173874915, 824100196, 1044021811, 102134456, 795854012, 45998383, 919084720, 104596019, 804370485, 221279256, 870714745, 736097564, 253790370, 149194432, 878356093, 443413953, 1037403181, 213568880, 885921193, 1044494026, 589181511, 309129968, 1014012091, 842809364, 468228486, 732964969, 9611616, 502249013, 892291973, 258247234, 93787876, 716507508, 930784497, 182454653, 683836940, 314850994, 975002787, 803873962, 251661320, 50331338, 974934854, 852699887, 536686878, 586620768, 877266123, 221830470, 678156090, 1019850141, 759551265, 343983824, 1000898426, 386031878, 822771712, 632364477, 529038138, 930171328, 166894588, 95366251, 897396785, 386481699, 78564090, 481872414, 984618972, 162268911, 527072005, 683678095, 1033089875, 335374263, 895179589, 714876466, 367073103, 143165198, 729925566, 735319225, 1008724931, 723360078, 108264873, 451829296, 712840922, 15867064, 737789319, 132312207, 614413693, 556611022, 870051638, 464711706, 234147417, 575341085, 483909149, 735138627, 57578589, 694149260, 821723714, 158252228, 235030997, 434315193, 263139288, 371186726, 209857832, 955705608, 678158147, 653046810, 679749393, 11960912, 761972616, 600946914, 416339498, 51787364, 20375446, 1056290248, 77357289, 182866598, 1050836595, 331859763, 1062807135, 179809379, 776295235, 551034938, 732436695, 887975404, 710603648, 260112017, 786408117, 278606025, 206478302, 1025113297, 657731736, 986702847, 639224713, 1035030410, 447099668, 760254346, 1040068582, 332917551, 483631862, 877779880, 662556921, 125496051, 760983265, 978613583, 457105960, 445475404, 110610718, 583400553, 658460119, 575126102, 232857383, 937149763, 698930966, 787086196, 982953452, 749682558, 150874819, 332927651, 1048381785, 826383338, 150816768, 666240638, 819605724, 537761624, 651524232, 89889719, 248972622, 624977313, 883678272, 501243521, 918189621, 743414510, 903059898, 1011782348, 926157784, 93375263, 491921326, 696227698, 113610868, 614466452, 708371053, 953002052, 323817402, 285123944, 1064235995, 510009513, 152255277, 960638167, 241033796, 241847386, 500379387, 702505976, 465201522, 470544041, 960411000, 276145791, 725755526, 299891045, 906738698, 250262813, 108430992, 523960548, 829450863, 747750195, 191162600, 1061816744, 900598244, 291602783, 758653560, 606359844, 810427058, 203430968, 610874880, 129020667, 68735410, 398747266, 429000984, 974198545, 476229802, 196486626, 435902012, 855606953, 456425967, 519732045, 400560259, 617294032, 335067250, 157887812, 385647045, 623438939, 237432871, 766562561, 438909295, 826793835, 999869603, 775258925, 896617180, 526760277, 654647327, 734173691, 635315961, 895319683, 623197114, 915733757, 755786370, 424833529, 786612829, 146804409, 723323890, 604973600, 407862691, 30295525, 335400554, 902784097, 129902580, 349981451, 258403883, 499550011, 228186987, 1049508822, 608755652, 354112761, 931074899, 523455167, 200615846, 586414559, 266783980, 307523505, 640708467, 761764407, 950352119, 315609486, 680354302, 1697152, 461498691, 718277987, 947008857, 889194167, 501886251, 205280200, 492439056, 968902031, 454372323, 214563587, 1047380639, 100548233, 47083705, 499094227, 976491001, 556214966, 43550245, 687895650, 789901529, 872723351, 101283809, 892227735, 226143746, 976237222, 636066315, 971228223, 817216856, 733063095, 217044452, 1069072036, 952014121, 1007991672, 622542360, 689826317, 763014023, 341609301, 213352907, 828182498, 18287111, 271233077, 539743662, 116387140, 86376589, 139875380, 552280815, 1065339991, 289874783, 1016617847, 725264417, 188742443, 940157164, 257368919, 529080204, 52244302, 247415555, 579278152, 1038012782, 536051785, 767486610, 387451432, 79767046, 531249001, 616148615, 612850798, 708403250, 648584589, 187372813, 928996048, 285514266, 38746284, 21467664, 49026822, 549193335, 549502244, 29732025, 35239250, 729694950, 1070594025, 183036135, 562364974, 612656164, 1054883135, 303581522, 747448813, 537923326, 28508332, 557886603, 881562271, 1071612620, 904108970, 608115780, 967495328, 970453892, 807000955, 579356323, 864825514, 46497790, 450945792, 75313201, 840716369, 324607615, 407725743, 670636497, 373929576, 248506434, 964721699, 758550857, 1043083726, 1062738204, 895699029, 339055393, 66453258, 430177531, 826591808, 692319870, 738748497, 917846094, 40053053, 698694680, 217321917, 727878653, 886151163, 649800787, 351017137, 345772131, 707109024, 939592985, 187589069, 229465867, 947098864, 63594790, 628052900, 829865387, 678715097, 601877718, 1019927784, 375533837, 356462365, 631686632, 27822003, 460772997, 771621525, 590744807, 212887876, 495236653, 1068656130, 387457798, 1039056133, 533632416, 817372629, 701977983, 7059083, 104088133, 258799533, 146309476, 777047194, 974994745, 366397114, 819060973, 180974795, 71411419, 913880261, 355432354] 6524)) + +test5 :: Test +test5 = TestCase (assertEqual "for (minOrAfterOperations [375505244, 639979254, 301003254, 33140916, 825909894, 558144251, 1032941318, 898728472, 173430912, 430068287, 648587347, 803752912, 107624580, 617915224, 821463205, 1024900053, 157677865, 875235078, 812474414, 381603748, 387768207, 470819879, 282750346, 443411262, 889839429, 1067252125, 738753008, 526140258, 44163866, 549366831, 1059685024, 981645521, 724866938, 56572470, 809708973, 251598442, 794087849, 1035447165, 374222968, 143384106, 810661325, 96610450, 912348447, 605317408, 906520627, 952145128, 263383426, 430095476, 601662221, 249576435, 190854966, 707209479, 54185621, 161830353, 454590602, 764999234, 786282873, 861465759, 312196736, 241523295, 1059733606, 982558772, 1070380500, 59414492, 1007198072, 64451059, 375611108, 541262731, 706350268, 1002859422, 72112678, 32215288, 796615428, 942637036, 283388984, 348177133, 736927695, 836392984, 944705257, 129891973, 295950732, 139593725, 499523485, 633158206, 16437286, 414390109, 548038050, 24570844, 949179917, 287806311, 93545661, 458625313, 475168052, 933118559, 281589070, 526608147, 373046668, 422915860, 732455368, 562217945, 352804470, 731866400, 433307129, 690723035, 347781363, 1066143623, 364871031, 473141952, 613795992, 336178046, 633704014, 261570403, 935946499, 971358471, 569913488, 677123998, 584530943, 331662410, 594885291, 950294376, 235242304, 706325796, 948190886, 358790140, 406886958, 40139078, 237834546, 356877227, 741850157, 985939748, 1030060340, 5565019, 174286138, 393915911, 866863959, 71147383, 962085305, 382115452, 639129627, 166863832, 911405827, 217186324, 1013262698, 588689779, 209589792, 270410166, 166626413, 731747485, 710581717, 1038595085, 673115428, 498773919, 832167406, 786806471, 761549391, 337794845, 724783949, 779065132, 490326237, 172578120, 317225860, 411049946, 19892183, 306204948, 466196539, 345894285, 548544573, 900815888, 443959476, 984382123, 324553745, 137224296, 768941905, 623704247, 656340955, 837590269, 732969049, 808852151, 662978212, 1050660347, 109569596, 747702201, 521947438, 893589771, 497013101, 907438264, 932039928, 97553996, 775587163, 456127867, 759588414, 160119230, 601228195, 563428169, 711754662, 812897158, 450486541, 161760023, 273063930, 343141903, 447523078, 310132505, 40203015, 983138784, 1047434323, 998352055, 374135432, 212691063, 914028591, 1047118454, 1029123060, 109454513, 282041584, 946406690, 319915045, 966839396, 397856684, 328197931, 717727246, 372386517, 861633687, 23817217, 120428518, 492615649, 1337199, 606888804, 636608039, 526750783, 407859027, 231265066, 4841600, 803863809, 17165237, 1032380400, 88131764, 620394826, 103550213, 167705230, 853898880, 828473063, 189633001, 574758497, 25356761, 855447359, 945657783, 732906626, 916831296, 805597601, 983878356, 173902008, 687214931, 208842246, 1010969067, 352011412, 194559772, 412500033, 571570682, 556014923, 537951146, 498319098, 459706431, 203051764, 732623279, 860404824, 1007908025, 489334734, 96514484, 988846627, 648449534, 223675946, 806203718, 275410946, 250807750, 379274377, 181948347, 469816312, 1066004419, 46326992, 788474298, 273406247, 845203530, 536977212, 1032096012, 813211316, 450167583, 687552135, 802262407, 516752582, 695031694, 5715465, 167595711, 1055182452, 355513407, 126817543, 390783432, 37987523, 484772065, 127271501, 152366900, 465191302, 977033681, 436195367, 881988050, 87487152, 351556031, 661098089, 83571731, 538901004, 776610081, 144026281, 432743398, 343695142, 905999279, 840478007, 758700899, 1063106361, 1021040737, 277693826, 682638743, 679355014, 404315828, 183225947, 597355302, 201025660, 896624587, 250432424, 131752725, 507582419, 489585637, 44125375, 744912094, 1052760210, 572936052, 415361798, 940360209, 483934032, 149172828, 917823700, 282810335, 854468911, 945264559, 557576442, 849978103, 262395590, 547055354, 186925694, 398922210, 92013426, 51897971, 898776862, 882725560, 347462437, 999033020, 768564174, 299122078, 198152912, 586020894, 610488891, 700956431, 726405058, 650365410, 485662169, 334270378, 380418220, 115121320, 1061343011, 447537240, 262482032, 591966743, 111378156, 589286443, 510209611, 1068482893, 369635521, 379530749, 663399906, 184275841, 122758666, 898065476, 644371061, 849853262, 1012155606, 154297727, 837421377, 964330087, 514095465, 1051124996, 115488498, 990978599, 992006860, 977534938, 163487735, 886289629, 100375290, 705847153, 836724022, 762855857, 415576827, 144812473, 446123406, 964529882, 472572186, 1067509707, 9536106, 160767677, 451303866, 36839044, 999389337, 1029829169, 499275650, 138506988, 1055203046, 582868725, 55813351, 869456410, 530217826, 320277940, 595737818, 967307005, 61401226, 596189597, 642315055, 444417883, 379605267, 1039291909, 1025830661, 199480682, 41888962, 906179725, 488247685, 163332069, 491146678, 691336801, 1062430222, 775388551, 1035533140, 871314322, 90540380, 813671741, 402495117, 911269564, 434661747, 468265163, 64202592, 584049068, 1032328042, 808243842, 630180164, 12577964, 340571862, 411407018, 193867256, 559047655, 247687884, 645923619, 916389003, 701239294, 360777509, 624355981, 1070651764, 77755588, 83720940, 19474695, 862107226, 837684851, 378980486, 969555501, 664207779, 615104285, 791948262, 366253015, 905145673, 359915618, 63546983, 156781737, 114677090, 624401298, 761779870, 825298134, 995315226, 177807981, 410400331, 624253809, 385007426, 778009621, 1019637130, 738676135, 140486064, 460429168, 34420407, 986487209, 1012336726, 745585352, 1040219473, 313300070, 791810720, 231837310, 342159178, 499500128, 700955779, 178620637, 1056703025, 173441886, 1043047547, 626455074, 870582360, 169076045, 828837250, 176965541, 509799265, 987182121, 828315371, 753416854, 987986258, 851384787, 838324519, 175387919, 863623875, 91261565, 501500761, 32222691, 666168097, 840171224, 943292918, 571009579, 861891710, 567727592, 460902437, 362176858, 981895342, 834534499, 998881564, 72141618, 246889995, 93241947, 837834528, 438755769, 827862653, 942748986, 921764420, 765438157, 1065201482, 570794411, 278846151, 610542145, 921819056, 567752523, 1028575906, 764066615, 95766111, 535275223, 339831876, 670967049, 811719046, 359878800, 267360669, 675926945, 903908013, 153714078, 507364357, 1001649586, 544534775, 1000217336, 911556265, 921569650, 556931977, 3943267, 875956627, 1004045512, 870936136, 583679972, 939137654, 234955761, 953296976, 823013576, 808754970, 257325604, 499136884, 958970407, 247206299, 1047431528, 996466917, 741237232, 605291069, 322680591, 206908711, 164247429, 114826306, 81214583, 974984932, 380686367, 244509353, 264761395, 441135366, 58650869, 660585426, 567258106, 891856468, 952297895, 248067338, 151508278, 409309439, 127331754, 489170515, 958473908, 567418099, 631279301, 7602328, 124692763, 108772808, 1059848341, 507673348, 835856260, 664308599, 2581531, 175429049, 246683407, 457675956, 350673254, 748347369, 1032178611, 881025983, 133431472, 312788989, 885130773, 950209664, 519571504, 495121085, 623206857, 212048358, 656728043, 1002690879, 384426193, 199958575, 742748357, 1038938644, 323526810, 306583059, 217709668, 879606605, 179296154, 987367888, 425936215, 846834891, 1055749841, 625442279, 73766009, 464043295, 859478871, 75065027, 305036527, 1038326184, 457125481, 875654988, 955028404, 913472361, 1063160649, 342449372, 737406286, 135209213, 70573619, 696860014, 1065870845, 95955242, 1010227426, 208692910, 315639419, 656785991, 631037802, 443939817, 427198388, 304434991, 479004155, 481449427, 785042399, 352497373, 779272239, 708541390, 53002079, 43587030, 605957282, 1069975007, 2030629, 951751309, 302993380, 1055588704, 906069622, 360416794, 28876800, 355429265, 213180673, 752641706, 308761762, 94913080, 943939150, 153721661, 577867502, 816193766, 389504998, 193667078, 899372593, 168250535, 169001616, 596813620, 796857574, 262190745, 422511485, 950711781, 29072730, 1066423735, 151856140, 764324343, 926732580, 249252575, 424372920, 1054036580, 761782503, 79969618, 803626200, 449857912, 772184366, 1044976248, 1063701449, 802172611, 1072015134, 559590286, 305636019, 45477942, 492673459, 68990188, 669182484, 674053323, 766357064, 240812510, 650732991, 834044692, 186849259, 646098326, 872986013, 515323556, 278784910, 881616474, 1062964941, 442069973, 824067206, 82037579, 675371757, 806556942, 410924520, 187374602, 898384507, 411644960, 193298803, 131154190, 688638558, 722716869, 304937946, 758227755, 281863799, 208817461, 701960273, 710335430, 655543463, 111191101, 1030207954, 837670815, 117072929, 138281442, 625444718, 393318516, 470437229, 590704907, 761128418, 452177720, 13330889, 348760238, 601989197, 443474058, 365973350, 800361506, 656798546, 176186074, 369582998, 3889782, 252828307, 246604635, 465921097, 879684575, 782157771, 538864995, 89319377, 1063068971, 323096008, 1063493450, 561397976, 634428878, 672427637, 207225531, 557216025, 238063232, 1005065795, 1038086521, 663985989, 200449355, 21344047, 164475478, 176991743, 797626826, 972769000, 979576875, 756456654, 2461445, 447510342, 59642904, 482340007, 288413582, 112044812, 277482885, 236341015, 181934904, 650370401, 909634989, 741143360, 714210344, 415314943, 797464552, 764566850, 613011178, 611154479, 163393060, 4784117, 576456290, 12828888, 720273331, 145618676, 253232071, 1035172293, 798581494, 316846222, 4558177, 584023730, 1056869502, 564676188, 138008296, 689508953, 227649729, 223005882, 361079165, 345190224, 3599326, 847157078, 951736009, 655384157, 481386590, 547892714, 1010512981, 658451356, 606593839, 523204052, 1041854526, 341152531, 767677848, 450495754, 401214459, 84315304, 1064629168, 566114154, 430303862, 536257241, 494657209, 875742860, 745135025, 1022973046, 286985340, 457487959, 209171868, 419533371, 158911704, 554840843, 424276098, 185757881, 974202254, 338775847, 389940580, 157824982, 201008750, 412455380, 574690499, 797957132, 282050656, 559491196, 924166305, 1037093173, 200539283, 457758705, 638039988, 455732562, 994993745, 694025352, 773934464, 40066210, 393987080, 290703904, 263662900, 1034831283, 990649748, 463968808, 896036616, 540359550, 164878094, 15564277, 231459897, 96388058, 1038548796, 296693204, 1068963076, 219910556, 682639333, 537233751, 903024425, 366745364, 652102108, 1067178388, 798012225, 40876318, 163637899, 172351634, 268309319, 342031764, 376152176, 568494998, 559860134, 454573163, 490233930, 906855558, 164394958, 98135804, 1004677812, 518203748, 611789248, 703600509, 475648110, 90524351, 513660237, 942535285, 389095598, 220963979, 655732086, 321461377, 833034254, 706583690, 1045004937, 385533505, 282644751, 1014970150, 413520578, 310170889, 739382328, 677981832, 228630184, 948614121, 574063218, 337523680, 315189228, 942137333, 920524474, 430144959, 501868733, 631674827, 391717432, 518102417, 850166426, 196466735, 255576774, 32670715, 569847724, 358843477, 75400297, 773626898, 893951327, 410716969, 708493786, 993051218, 188734754, 48380855, 423749621, 998352496, 345283856, 125762941, 188591967, 947069857, 971593949, 1047927733, 744668052, 129268588, 159056967, 1041968401, 364971791, 689196845, 956853843, 548297497, 154537733, 246865491, 126264442, 806610163, 426309851, 244118854, 852726173, 567730408, 466636296, 930345746, 211781767, 43199872, 193149004, 527476500, 994345514, 18865216, 776086803, 876148919, 695319971, 193197095, 511206919, 546962540, 688580438, 928897813, 941125053, 9404978, 290334594, 695332491, 326829847, 475520396, 809587252, 495042052, 170507501, 148899285, 705355398, 344434750, 368124925, 1033043711, 205726974, 162512915, 686883550, 106097025, 609546219, 279293876, 219466067, 519441660, 719588990, 1062919866, 532980885, 513353248, 661085021, 36830069, 1029914386, 904195165, 1021612981, 117366361, 118114922, 942319337, 932173092, 199589120, 979938929, 948576762, 762380916, 758101052, 844786969, 979380594, 14927880, 67565978, 690507392, 468756953, 859549595, 59071461, 823459449, 309104618, 722243919, 355098076, 1053894521, 197038047, 152680032, 651987315, 476508175, 114304255, 385530974, 340439572, 1055850886, 229390806, 385060663, 174222182, 288576249, 40571644, 869504027, 35281816, 512736463, 1036340513, 787459919, 162872230, 12284207, 247391619, 1010846033, 543852780, 529991792, 315802683, 206686889, 876100374, 94352324, 199327046, 880475355, 546641337, 154128240, 930144645, 563852243, 416011295, 285407746, 419970484, 1007858351, 688213193, 72219774, 960680216, 762503234, 43372866, 697124306, 81868893, 257939159, 150208196, 66702863, 712401374, 11893662, 438320153, 51178950, 613409515, 952897587, 650248673, 981070215, 489509870, 351384946, 928320369, 378506940, 943106840, 462886048, 1064631885, 810645592, 207915348, 27368626, 758260843, 569772944, 359625645, 4551144, 751781798, 234959296, 114075398, 586664611, 84820509, 907165659, 893144398, 402187065, 849318747, 878742330, 587634823, 140880663, 388642060, 868285837, 25695379, 1052379271, 840796520, 573419591, 558158446, 929026640, 1002417055, 1039005597, 1020819294, 803536114, 265973196, 234804852, 297088123, 345101014, 441199294, 782821017, 908656856, 46284488, 522711808, 14529072, 51731283, 819178544, 707548878, 819146111, 791586219, 830894174, 1026538076, 938365401, 115713047, 374777521, 1037955128, 889200415, 849890928, 535730332, 630860676, 8273058, 954903978, 737967747, 384879285, 921655980, 434720679, 902618195, 202459893, 794687208, 1017691208, 379948484, 280149343, 412116616, 936159417, 576205343, 119898458, 269766162, 840522155, 279263149, 203158591, 192162898, 44471865, 834564465, 319933729, 763721238, 388342572, 393163246, 505818909, 872750542, 410006762, 153902154, 39137068, 306253916, 254882033, 542888853, 713559927, 842724014, 546827889, 631579483, 367289000, 197210864, 474786298, 317789529, 471340048, 290301165, 3056174, 306208649, 699832415, 510658840, 994790767, 674607212, 899904515, 77787403, 2503696, 918761189, 620956950, 816547999, 861020094, 238247045, 975042935, 486647366, 683741356, 753040295, 634800431, 86248820, 728319926, 606557537, 527469059, 163437782, 392376215, 773577167, 533598871, 461242993, 984000391, 1071212824, 1060700723, 322200289, 730713049, 534129096, 464164443, 572468960, 702970431, 976402894, 432175877, 748691579, 171678466, 1001944436, 126145293, 904184642, 363306286, 66671753, 680685100, 200633960, 840623863, 555274561, 914474982, 586672624, 1042533174, 793390683, 254382671, 10328249, 976983689, 54604976, 992056569, 518226204, 879538315, 672802207, 165842797, 456200110, 1067611722, 410026699, 409483903, 244146277, 62762501, 62022251, 104369544, 4064803, 993137202, 422412628, 625653186, 1006411335, 584640612, 806135983, 692147932, 838077966, 847613655, 603327341, 773908902, 556187540, 879887899, 834518842, 543089725, 200492774, 395054903, 515643915, 283157029, 85987505, 215822340, 595992665, 391160465, 780479365, 329189725, 224376159, 400648038, 155913250, 302790107, 346164333, 553488041, 499673051, 1038512180, 86071844, 277613836, 532870371, 389757868, 620401171, 1034143782, 707312145, 173986287, 577222717, 597019650, 853728572, 931670447, 281637822, 545154390, 434156219, 367106859, 562232849, 1001809260, 1044189206, 50062801, 654587789, 638801078, 117653505, 1034802071, 609395253, 874648143, 992371415, 447895102, 815333309, 567690288, 90915305, 1065207861, 566286894, 503171277, 966529892, 788229611, 639780378, 277519339, 890416579, 485993674, 71313328, 994640353, 304778380, 843115210, 134549398, 232140779, 185356367, 606268003, 124085503, 897687243, 670175999, 709186986, 632090694, 512241557, 1071009294, 752762573, 294177866, 164702808, 12961928, 842294542, 52871758, 873359320, 1062860755, 339529800, 218113437, 984882135, 419258730, 676535348, 738329003, 807472493, 561847272, 219523087, 783740589, 705727133, 693714652, 692098423, 1063992181, 435183675, 685683623, 716203203, 629619815, 289099254, 887045837, 1040318774, 122472284, 704321707, 909597303, 463571620, 395347357, 917349460, 476873168, 921665109, 131333962, 96559937, 621755046, 490634250, 523517345, 642256920, 506502624, 860002946, 27540298, 303488763, 687036816, 289622585, 269602182, 301087318, 416769857, 985448278, 823836657, 1038740442, 84888780, 278350071, 996051705, 236634262, 68581656, 1071172331, 735140954, 860471795, 846808614, 138861415, 487618233, 304190195, 801312751, 902611582, 589795841, 1002191494, 312774440, 892913986, 880353765, 183771819, 78938734, 218412499, 160524962, 1053084730, 434300401, 395641951, 824021826, 740128528, 367086316, 485189267, 966677305, 566207592, 809698686, 223299584, 885721450, 546104269, 454940252, 817194696, 972248611, 437962147, 292950770, 89453250, 217341751, 411568189, 983185959, 1036716127, 441489418, 158966284, 843655874, 433530778, 493523316, 1042242039, 67337069, 379310793, 119225268, 106700668, 706257150, 903285787, 8850508, 302143481, 949360166, 158138209, 745568298, 369322600, 392787335, 971755388, 760048155, 1010510839, 609380543, 824919125, 387403467, 959095659, 884061873, 134653855, 80790090, 639302924, 162898346, 421660653, 634632884, 927735201, 268621085, 369489102, 595257146, 169887153, 193450543, 962324659, 763533058, 235481653, 323526814, 538952016, 606471602, 317131160, 388972240, 105730355, 603771506, 547776626, 588166242, 625619919, 199671385, 595896340, 735790882, 656535092, 803506803, 687259913, 75632145, 418895463, 416161130, 759317305, 953120976, 744663493, 777102292, 1054755356, 476520879, 757956690, 1039876948, 337816307, 597688135, 565275645, 792040833, 187015364, 1058659676, 137285048, 234015257, 1046857695, 666347462, 255271623, 272575106, 288324528, 18096673, 512139138, 907003241, 1031473922, 1011651022, 564314008, 674053941, 595249286, 810792110, 377956917, 1051365656, 119796579, 73953019, 1046262132, 165165512, 564768509, 401255998, 650532176, 311376607, 104926109, 500616383, 984425724, 285889617, 377902595, 662323049, 875612756, 315312223, 159851905, 666032283, 11783331, 410530011, 202532998, 289179381, 562547020, 104241850, 35750248, 331956560, 830771385, 886425173, 1037987300, 219529071, 471526831, 1015185048, 321818312, 802054708, 824065205, 568174748, 591511586, 1030181397, 784176480, 803506318, 749343162, 752809874, 462780496, 214697222, 174472580, 220915362, 1053105886, 685495182, 658596756, 779190383, 944994504, 516589393, 362097094, 1039579763, 118248574, 672395522, 13800027, 72131982, 845463999, 484091538, 329379327, 270999225, 401723020, 708399250, 431189147, 623527102, 76907338, 412508584, 289733118, 627533263, 568705594, 979318560, 429354467, 108748364, 638058685, 501502790, 418621895, 952253204, 533734973, 85810584, 456979346, 744136609, 154017087, 155665168, 26693015, 670998184, 41651113, 237929148, 784627115, 703821672, 923804949, 596471091, 729202238, 723714205, 930718705, 370530163, 20032864, 315206333, 241452915, 703149906, 396982016, 737385456, 709508742, 343610705, 331963578, 920480510, 487900862, 974247541, 126946700, 45612650, 391668251, 413185486, 570553453, 940576098, 807146593, 898121685, 333668799, 272119305, 533213728, 571846949, 27861312, 639023082, 613877197, 94408628, 519142834, 260601958, 980755267, 920977534, 742281034, 165071895, 936647113, 882203276, 85655414, 437620463, 611146439, 82809149, 961950306, 294170983, 119390381, 14179430, 874671067, 644634944, 499320422, 898784310, 554843520, 43266731, 594704483, 502070971, 319564458, 972583508, 117645381, 857671710, 849873404, 391896180, 1028184902, 818371518, 228517544, 556594274, 891610872, 569343810, 1059890952, 213034254, 589203475, 621271677, 167393533, 708322634, 168671577, 571993741, 748664753, 933462894, 691091732, 476697883, 117746484, 533593722, 94342906, 366681677, 241270101, 823224054, 277985251, 142685056, 124981513, 706514743, 281222439, 248917954, 229484297, 906549851, 458970734, 972522986, 507142902, 724352566, 1025899615, 55917698, 436397193, 160825549, 1049004799, 828527665, 82168838, 395506629, 399079700, 510919474, 122581465, 599319831, 804152511, 471185659, 213103314, 978889168, 301450066, 508110767, 806478578, 867145708, 619438617, 149572136, 404410810, 247517626, 988948293, 1021340973, 812956341, 745631561, 1038081758, 859693714, 956668403, 703507420, 611766393, 756107721, 415369048, 938820610, 625029445, 177057648, 22069506, 1047973305, 457107682, 480167629, 647886106, 239195806, 37441276, 322940188, 381930614, 818464673, 839869544, 293846233, 400998358, 33641790, 988100408, 655750927, 383158919, 387387154, 121628806, 496604196, 259056982, 623768499, 403822393, 215314681, 129024272, 182700750, 528135497, 863870797, 858299572, 836796776, 534317517, 813277918, 359386674, 1051151663, 295089085, 574349361, 1010523142, 558589628, 465800893, 1003221770, 839661226, 704361267, 47264653, 713325213, 396358017, 321019502, 334039397, 120243185, 132544074, 361608196, 443656302, 850906990, 874937570, 468992178, 642213052, 530195276, 959215164, 1033416375, 153506073, 267180124, 412823403, 195307632, 245980338, 584468114, 1059922913, 557887613, 82888696, 1015184394, 906770103, 343858748, 35229606, 342457675, 724289793, 846375428, 911029700, 732807254, 667128265, 679646442, 342530633, 894107604, 685415926, 951996051, 526158791, 234960385, 368483858, 219271040, 911069995, 32956727, 71982687, 965086239, 575396931, 397205177, 522208759, 754769191, 66038808, 104536296, 234372752, 719681666, 300217709, 291596300, 1005236943, 227759173, 492784678, 777568918, 61655736, 872916330, 330215069, 829413854, 676837891, 324697009, 327312212, 1038481288, 441744078, 552580965, 932337915, 929761085, 606413676, 390773688, 637835865, 898087342, 17001742, 747544442, 136301081, 993732408, 413625166, 209272324, 260936838, 313660390, 851841661, 499674362, 455312303, 646194210, 481537601, 590028967, 693123074, 138695183, 349435423, 626391581, 326669863, 1016632468, 182825063, 128301882, 946967132, 515220351, 545510593, 538249107, 269719234, 413045498, 622574675, 944197579, 238827705, 223932547, 788358919, 478989844, 854240461, 633228031, 846465607, 935120890, 84575097, 903240823, 323558584, 882683936, 632637064, 1003942567, 723684944, 238353695, 136662447, 273158570, 602323197, 230465133, 1022774901, 47562764, 786789997, 329090807, 546085989, 1051286172, 89266571, 36359803, 104746869, 832785774, 594184250, 509017992, 142092247, 188063559, 440757528, 127362398, 951089035, 853176350, 694130163, 336902379, 1017003677, 235270050, 109880563, 692552193, 878416024, 515378868, 667310271, 258067394, 667484678, 323844340, 630036846, 847380135, 550419894, 552311062, 344289620, 936327371, 321010268, 653595378, 832941011, 1017224527, 666818321, 434934369, 47343288, 631371228, 438381455, 900860808, 824759998, 307257672, 885231582, 645505484, 655310298, 1039476648, 301435761, 1063611572, 62685447, 80464527, 467663891, 445741173, 1069972331, 586364911, 420879831, 314117812, 100526239, 790548371, 679841485, 455376049, 853983330, 194364662, 299251928, 802706647, 797514944, 252593323, 936577618, 356542513, 480758151, 386115836, 585990794, 284539530, 203659587, 269767006, 79533369, 377325033, 930100613, 133052463, 622441822, 398444853, 578578803, 985489392, 622583476, 340151424, 100806811, 252697699, 682631581, 901240489, 605861792, 896704893, 547390831, 641805248, 885112770, 1048435289, 75938241, 970405222, 862514497, 577951686, 496092745, 494236998, 816586608, 478424512, 477946970, 596146869, 596772697, 628245048, 996326738, 198105310, 26702362, 109071593, 910569910, 888228911, 864565139, 605474372, 277346397, 523375393, 574540853, 329624296, 242878068, 777585009, 514397150, 949291446, 813956878, 211406301, 761328786, 565368418, 922969168, 109146424, 70343382, 187123987, 52075610, 330230603, 248099767, 583943987, 43182538, 348136049, 518704616, 1015624245, 52541534, 594128190, 748149500, 692906098, 1066084613, 882839394, 309420288, 208959550, 598504327, 782770764, 536000551, 881292824, 679366903, 84270299, 850300730, 1049772647, 607693419, 597189210, 746163182, 393930462, 567177697, 982756073, 195895407, 1000501095, 849095194, 360613821, 608894451, 951308211, 609159752, 654146555, 818018672, 740516997, 176131904, 576652004, 933877181, 184939627, 102506279, 101516591, 362885226, 1016228815, 873213373, 176165489, 606293272, 1028350835, 582814078, 1020809490, 254553847, 772389475, 766227874, 373942706, 435359339, 856679939, 485518357, 912696353, 34320486, 78850479, 575049779, 575967036, 735534086, 300497548, 777892790, 885745564, 306704070, 323171692, 432495763, 675445090, 824427904, 129109069, 551119137, 778171733, 785823608, 651941844, 244526473, 506856009, 389975340, 338111786, 143028616, 36247774, 393500016, 20431209, 772306252, 63486725, 438729804, 973146725, 342588940, 553519064, 214149102, 411400566, 913073297, 90981349, 106063898, 810447994, 885206617, 121493852, 400110784, 517601950, 244136624, 498522973, 594282710, 389038284, 350097464, 137289364, 77218542, 864831005, 722514872, 546266734, 259525429, 588602233, 790763590, 48592629, 10403111, 777772875, 24823706, 1073171450, 368019662, 219513835, 818894844, 260268238, 73559832, 699307739, 235574575, 986578063, 247415013, 670209721, 691503119, 178773436, 682751800, 312277863, 832552248, 74847397, 413492077, 427363637, 613524096, 678625769, 287209100, 397978782, 474865037, 786660736, 858429054, 316355314, 235286720, 429568207, 781575670, 101562102, 344929540, 212209612, 352935012, 839804793, 477650262, 582564559, 25306830, 472165444, 762092334, 717314351, 950870428, 465243053, 96629563, 80361179, 3093378, 1957666, 33642765, 109732430, 555401648, 204459261, 862952819, 170079421, 1019288651, 442295421, 129313871, 1009863003, 298973211, 367269346, 258055160, 342808147, 354544008, 874357619, 374404480, 50826608, 333769436, 122191131, 981226223, 592482879, 748604631, 724775548, 82570329, 970926768, 303257504, 234977033, 77607259, 704856217, 237359358, 821843096, 1043097660, 464303337, 712202445, 496966565, 300660310, 682596288, 423056391, 87383513, 32379821, 182472406, 203563717, 827424150, 986563504, 499214140, 825405684, 653748461, 269107647, 324932785, 387404864, 762644984, 169720812, 992156346, 345216562, 383736216, 1039585687, 73272058, 560447198, 801609755, 82327904, 596849128, 933007412, 788299453, 210401679, 631969567, 149935184, 482364006, 47625986, 184147116, 873783891, 479419151, 907717813, 499386351, 264432752, 205438083, 165886705, 917204892, 1036482879, 1067343358, 957401136, 496965831, 1065789706, 1061145626, 923138778, 674758706, 177441006, 268494361, 412041348, 945486813, 931145622, 636089283, 470134947, 756634704, 227867917, 872301113, 246253885, 215811352, 980031231, 55019941, 822571238, 292098397, 963611345, 753508413, 23183248, 808111373, 311102583, 565414068, 801147374, 120764327, 670378825, 211894833, 203110878, 412580496, 632626278, 1068094196, 527286587, 62104724, 387412547, 654523114, 967008101, 154009507, 974420648, 103217989, 1065536622, 905855250, 695491464, 866818476, 690366857, 835360581, 842142110, 418559278, 484192317, 968187823, 504433969, 895991568, 164106712, 206154102, 252535624, 842291077, 31236136, 566669709, 527581083, 945945137, 1050593948, 568147762, 470650115, 1061160887, 803167558, 758438693, 310584317, 806943086, 584347914, 920054489, 853862332, 1031351098, 928594165, 117802981, 322297974, 839087481, 778238033, 873386197, 336144954, 947830531, 921528818, 913131706, 660686399, 147199149, 396025064, 387063538, 955880539, 329635031, 54261608, 438836115, 815651901, 618135654, 271971239, 228078812, 182133147, 779993129, 311160597, 591260531, 274480750, 1001478778, 515623063, 1002701086, 675639944, 883756865, 1043964215, 248637148, 665855354, 390018481, 686130242, 431781602, 662422936, 739650216, 25970045, 800594465, 163072570, 353563421, 135111712, 542602009, 738856494, 51238940, 653278546, 205603353, 1010572517, 1046120311, 411610313, 328545893, 144590677, 587452735, 1059812931, 1005332147, 621228399, 531655457, 722656565, 140024015, 724391641, 384160898, 597075501, 327906411, 765842843, 809226971, 414590800, 320450428, 551183338, 287579911, 304919248, 268634176, 293738507, 190775879, 526678656, 38171082, 72075958, 895120662, 798108738, 383029682, 283083628, 743653977, 641037457, 808476559, 664229449, 727846800, 190580933, 1063907780, 911362712, 1013717839, 290799280, 590109403, 26910180, 620267112, 332277845, 345473727, 382296181, 93479591, 873175863, 986493524, 168058455, 33205604, 347189624, 120027403, 551027683, 1032504143, 491220647, 652807044, 770104384, 103755174, 317867667, 998111727, 298410196, 552398990, 852932297, 729094451, 841982393, 763844372, 509000797, 44364263, 658418865, 949898410, 1014424627, 747035177, 430519592, 431105098, 837336681, 315778233, 853903026, 747425654, 918054706, 601005624, 749429453, 388530983, 633632074, 244619747, 978508926, 562055200, 912336224, 909257212, 934817332, 119463253, 517037181, 812663308, 754867588, 29603025, 554829710, 856355401, 515475360, 439100263, 115817845, 434840739, 32515137, 1071392268, 313061145, 936683762, 209488353, 671709489, 31246269, 780403768, 689173315, 562234421, 589579962, 954784408, 700563876, 397694307, 202534852, 625729891, 899987858, 118755682, 132541127, 374783833, 915789950, 688545744, 300346187, 1061392849, 820563022, 709240821, 416516319, 208697279, 433580198, 29451674, 1042803826, 255151114, 201227113, 953407403, 152535832, 989182847, 60442620, 728362996, 50043854, 566318981, 703489259, 772587797, 462097140, 10999976, 62986276, 932473505, 80104914, 533492961, 573096965, 89540315, 31416118, 301580294, 1066634070, 202013054, 624694819, 879274017, 3908820, 753693577, 753910728, 789707728, 893617695, 795566266, 347956250, 22117986, 351608211, 592103060, 879858041, 205137698, 431277867, 120836229, 665615643, 659800914, 657123098, 1045927827, 426046905, 888302748, 303204287, 675665875, 788196642, 843031525, 882986365, 23524878, 709752047, 1004751389, 385022132, 1004192152, 598999759, 276747632, 644551494, 7914755, 152866258, 839666846, 858484926, 236047983, 707743796, 1016816983, 563848824, 905883868, 455751160, 111303887, 859528059, 1070169364, 671051096, 670204604, 822517078, 887998114, 5128710, 293038935, 255619251, 825254690, 537939345, 950573930, 172999574, 988981176, 915251844, 640145623, 727701925, 428499228, 560035391, 1069033658, 564355368, 365517832, 10406575, 245496937, 726906371, 248508103, 757793818, 779067204, 573307014, 625751778, 121372447, 229116851, 66810900, 730669247, 25317716, 302114615, 862155845, 651030816, 462565027, 963044779, 1067363501, 751384968, 269040243, 696008274, 646591397, 1017215276, 449317375, 905091422, 98587968, 133121835, 680564995, 175607879, 270737364, 401908405, 6792469, 619244041, 732291976, 73610873, 399975408, 1064539343, 1020014526, 331073231, 216664193, 977735555, 73682282, 624592545, 235721422, 671429985, 781837097, 929503241, 578524303, 621241451, 201405282, 264305570, 572724861, 846498645, 92516417, 549920164, 377713093, 330436917, 192901211, 546685734, 354092010, 683794715, 999468440, 150012651, 844705197, 1037772080, 37493424, 311993961, 899976228, 265349458, 808524784, 834575419, 977096408, 687005490, 35807282, 243815800, 77281579, 145419838, 127030105, 535583352, 1025361502, 1005264427, 119884606, 398019341, 769695140, 294844702, 430010084, 200535673, 855294465, 228846465, 314415566, 125893884, 325332969, 26181014, 40562917, 3405202, 486262287, 72315747, 609297214, 53590749, 590395773, 914731075, 1058863102, 292726953, 488340899, 486324978, 669752206, 446675960, 818513221, 431104114, 74840425, 308409646, 157013156, 839138309, 843380990, 658453460, 956891589, 327738737, 330306981, 935289078, 704365390, 68565114, 948512980, 729003125, 378230581, 906420707, 191345626, 499631912, 164341004, 555679403, 991233959, 112148412, 13171246, 657804758, 216097062, 857514572, 1002058885, 328882478, 165955333, 831996391, 348420435, 459923707, 430981118, 166506866, 285882611, 94328398, 990066700, 338553813, 634275873, 671830526, 575649243, 952357522, 965704725, 888992315, 1064876705, 156498391, 236449029, 940877739, 635755228, 944084561, 85623733, 100278340, 248717973, 860991646, 622568992, 397570975, 443566522, 982856417, 589392807, 284199637, 880302988, 597870625, 174792861, 245648351, 920622952, 94276193, 589211999, 486193751, 155785693, 416483969, 549550940, 430811287, 151513626, 434887685, 822051225, 874935211, 838928307, 86512458, 165027400, 192275292, 260693350, 916415740, 177771207, 669841347, 755085095, 254420639, 741188402, 188266810, 950324832, 822450786, 320085634, 880639048, 1015237709, 716272682, 951188918, 959539199, 234181393, 548479533, 240225615, 590654871, 949332480, 224464946, 15347303, 97367344, 990351133, 766232067, 16394235, 930842058, 277088768, 442311002, 1060126837, 889725424, 250920354, 721030644, 21140493, 966125074, 885489298, 538646966, 58873766, 706375475, 150122297, 950759640, 521373550, 8957442, 235308732, 133450399, 709495935, 828908389, 347882658, 302055870, 147372136, 989565049, 687780083, 238669005, 141562707, 171379343, 946897778, 133288811, 549757364, 377117303, 420021964, 807411661, 284806413, 161038732, 27069466, 798463311, 906344262, 662033307, 912120250, 181335612, 864708964, 467196497, 733256683, 537861779, 310102893, 585121586, 228733065, 180613270, 766086037, 198198885, 363526094, 989847819, 310004422, 513997769, 256911781, 829633196, 253013317, 550351464, 831032352, 749092813, 257209316, 153761338, 316338033, 283050110, 983134341, 918959277, 73336102, 838989348, 316266171, 1000868421, 262688090, 964992282, 262154031, 376363227, 675204393, 995428169, 424759542, 151606009, 525417032, 13806097, 472470226, 996199091, 317112100, 198873790, 698137209, 284011960, 108144875, 315430053, 92598296, 971717797, 818445458, 408193077, 66640245, 1022485862, 700203980, 219121963, 631923590, 97734795, 540424040, 1061164571, 786215941, 644534882, 63988235, 41524528, 446615334, 91681977, 618486161, 759659329, 351234854, 1008795059, 370176163, 311599068, 178313514, 204356528, 648655998, 10147521, 83242311, 511183236, 155198050, 699310455, 358155560, 182247419, 149295496, 1057833685, 417371091, 573373089, 594908900, 901099977, 983225280, 329242366, 67225039, 385730581, 467945305, 432277828, 975964788, 737815909, 678549082, 113692400, 472905556, 201773487, 952912842, 328492972, 393893512, 80509027, 927581586, 88879893, 593363107, 1043009045, 377917575, 907315048, 719834439, 610327154, 1055194045, 183073775, 163019486, 246798308, 165452583, 280014488, 216043648, 769060396, 284551888, 831491594, 848172000, 406515831, 466940223, 899799432, 485489867, 922403046, 374792409, 899249300, 351123143, 34102896, 869118802, 660447118, 1060170692, 621358601, 104150153, 107790298, 18424065, 618111062, 78807923, 625888557, 957613503, 933024338, 733764838, 781820807, 143914649, 616063492, 313998536, 150438913, 5545761, 606728364, 699949409, 942520134, 638776748, 397917358, 639944346, 968814434, 127340037, 704556562, 816633780, 10293489, 229344989, 843827847, 1025978593, 238860953, 72890861, 284013243, 42166167, 828113295, 981749288, 557009166, 602699876, 190776913, 69821617, 1016792042, 216398482, 1045114066, 1017513229, 733240530, 201002327, 588210786, 953930626, 442646937, 617945317, 780659725, 876606417, 844872620, 923453882, 706427393, 699000981, 22636350, 450884498, 299335311, 392421877, 70488526, 1028841694, 193305125, 777999612, 709721223, 175307437, 976536794, 534565345, 997969436, 64822015, 9105295, 410200603, 688457153, 122192590, 298455617, 1068462047, 90935368, 1032610497, 558582864, 1058709373, 801517384, 335692359, 23877067, 827338372, 394777777, 701842267, 218795079, 555889945, 373506629, 961115551, 830558746, 986385219, 923642749, 165471987, 921389304, 218233098, 798698467, 552168906, 348629088, 547008683, 680121332, 867735932, 131732264, 370645204, 226741918, 260630302, 312165075, 817176694, 420241401, 1035118299, 242327966, 583721222, 540975159, 257628816, 118182716, 408598661, 686500884, 248699085, 1050714857, 232438766, 194153976, 430420201, 227544154, 402224915, 744633254, 1071255652, 882523458, 954374703, 507874820, 956155746, 923728770, 605090643, 677259566, 457341190, 305669441, 1061167428, 583319922, 139263478, 697577218, 41753674, 538971102, 485105510, 939375959, 877581822, 1038520728, 62789328, 614447394, 373327409, 665944486, 507678299, 108474618, 350430840, 408267797, 302895252, 358466832, 749236017, 523279558, 328503452, 680015517, 19205056, 781469390, 381484143, 532678196, 623282863, 140077590, 947360144, 864914423, 381915575, 762472310, 33711137, 744460128, 662787028, 1058317504, 269603010, 662012201, 315229992, 558049365, 35724396, 718378279, 103083990, 672089627, 707502488, 704768846, 773139530, 706474896, 249450143, 957030104, 977678029, 938803004, 927579268, 89283526, 759348388, 318128522, 246789285, 709108450, 861657974, 118032649, 443791817, 299213787, 961861412, 957005536, 120540250, 786610634, 562009232, 669004650, 363411916, 777735718, 848540377, 327406158, 1057392854, 974535233, 1020828507, 163875080, 27026364, 1024563059, 979955294, 576790857, 542552664, 866365304, 874214661, 605240212, 479927968, 644069126, 979155550, 340441971, 666916843, 248531951, 684418364, 1058584045, 264563151, 799295869, 447917104, 950360824, 753241739, 317842970, 736794038, 603517230, 456755980, 154570492, 884692645, 174065840, 439204531, 931814832, 261992962, 334842663, 784545631, 1000630826, 915376507, 846246787, 521114777, 382044544, 968490299, 61336429, 325512688, 456232256, 837220709, 129216778, 878349978, 661185132, 266731932, 757752766, 19633896, 816404526, 49398896, 51160623, 206474705, 940880317, 383047794, 472596772, 394805822, 414740792, 1053432014, 336273212, 1030267818, 508879601, 865114063, 459778340, 283999874, 798135087, 778134120, 981376274, 28371788, 487124145, 800283759, 363933913, 1031732485, 971989725, 232936437, 904467588, 276072201, 199277278, 118492091, 185262787, 965840543, 569641767, 651018463, 282839484, 228534840, 552785397, 944989430, 795683896, 22727983, 623443367, 39185078, 823211784, 843137210, 416051220, 245722052, 358563041, 68006471, 402881999, 587697964, 426520233, 820816759, 1055482656, 44120313, 381361888, 666357721, 894118116, 883107224, 1013685436, 441625791, 602939438, 196861511, 663975145, 410433790, 481157676, 60561292, 801887892, 175887267, 706860362, 680100199, 286659946, 829547894, 1063948112, 307860385, 529005424, 483629990, 214419600, 130426819, 642836782, 378584345, 447495045, 877265316, 289303056, 21410604, 936898437, 162201639, 695261443, 623951419, 100163525, 1047084301, 581703374, 614459170, 664370352, 3151715, 387348424, 405943172, 172391656, 806582504, 359650865, 492872477, 69377687, 704662995, 436103305, 1053137035, 65698765, 48643088, 202702641, 465944923, 113654267, 658820807, 1024796561, 789271743, 1061205846, 750143178, 381390926, 454134473, 620939348, 245716554, 855067919, 471627741, 726315452, 210006895, 765950340, 214119783, 24022075, 570716860, 1026115543, 494381063, 327481158, 425832710, 764792839, 523988257, 330562672, 766180102, 714932361, 1023118365, 8360804, 274423288, 559251172, 62242827, 559683343, 119902109, 662564809, 941156799, 381680053, 754992094, 311584291, 267246421, 319710149, 36661046, 105492776, 613350597, 396891787, 629136076, 409725711, 1049146017, 597414246, 922275073, 877448654, 632309503, 134337815, 949567295, 821731274, 959984262, 315138827, 299940237, 104486836, 710917946, 681867519, 236646059, 313382739, 832211322, 407305804, 200911303, 339434082, 597851038, 53119131, 155679030, 813486216, 715109308, 350660307, 635100442, 598284153, 186778915, 951195798, 321548434, 574727605, 959516380, 881047938, 1042906372, 159196771, 732837914, 136743552, 599066934, 1060711668, 434408199, 654025809, 501783964, 523781660, 335584879, 585876840, 759165403, 941568835, 358726008, 928067449, 1015535720, 1023668657, 13943702, 542484143, 71722503, 321285959, 219284763, 113917583, 438316671, 594722815, 777263975, 348107025, 620684447, 789667195, 258505394, 7447587, 787018246, 259147150, 765975540, 735879202, 299252644, 778248247, 585677216, 752791367, 1041407970, 110547029, 246768794, 782264449, 978692162, 295197098, 435170317, 1051160562, 689977780, 686216375, 128193058, 29922081, 584812319, 290915101, 722716313, 393717949, 357402163, 567934694, 590399326, 232390568, 472619878, 995321972, 395458546, 974767690, 34584800, 320129600, 802330078, 422810314, 610826165, 967181685, 174999143, 260131392, 693203008, 323694855, 931051324, 57350018, 865942325, 664628158, 558838146, 750347285, 438499063, 961331947, 593053589, 53636455, 564604286, 581400396, 286620698, 173644378, 305614360, 593900708, 679069793, 1073549689, 129444135, 457837723, 737101159, 692282324, 353751138, 621942646, 495376664, 74328631, 274646811, 201190222, 807433129, 1014261376, 569952231, 360231015, 688748267, 582914131, 592507027, 197474885, 146160341, 726369628, 145946803, 676195761, 679334186, 194953761, 893449124, 470435062, 840895009, 246264370, 803559819, 36781598, 68488997, 838406178, 4072337, 503384129, 388843899, 929852504, 113307514, 160843338, 6082502, 505334043, 631288966, 788956190, 254642216, 600715752, 1012503217, 898060581, 311989961, 813178594, 851746889, 552878875, 210410669, 554437646, 374131121, 1002534772, 1015214071, 72362737, 358679945, 810413634, 606719849, 913395896, 659058692, 311617417, 277567945, 727833255, 474901730, 251877384, 680615555, 476332469, 543957166, 769324037, 684070097, 590265697, 935709080, 343112525, 811085158, 449104828, 956552883, 742349622, 933320256, 63563831, 502816538, 846636372, 946516764, 221447710, 87492841, 977296692, 197900832, 11813685, 581011139, 835220192, 771760603, 457130697, 808388246, 841592341, 866068154, 354548782, 108893378, 1035617788, 166921983, 774806082, 80251935, 160231954, 958536219, 200581246, 979618348, 117110538, 969073944, 128536345, 1016899224, 609679376, 953725962, 375099336, 350189744, 472869543, 381436985, 67332742, 319449645, 922763659, 772097605, 324394070, 1014345834, 948370737, 240758811, 1049277092, 1005156075, 866315986, 184904942, 47393135, 808366633, 103883464, 776459660, 519614771, 664283297, 951629671, 91355780, 866763897, 132404119, 188702895, 91585017, 630187663, 650545292, 304882853, 356427858, 613285815, 641790964, 979141290, 814805840, 970146133, 753168841, 852560148, 590370457, 46383699, 1027355660, 824372097, 138730381, 671640759, 1014671571, 766446773, 760078968, 779765334, 231634697, 780451812, 385086614, 715316426, 260145810, 142403160, 212021927, 501683341, 504772423, 223975647, 774412208, 452547404, 353058140, 966164594, 979702682, 284259639, 170221743, 958695859, 227417490, 493866271, 1044814656, 430470425, 281477037, 737338914, 412939993, 709005041, 135220114, 683339312, 371193307, 531698768, 591739524, 1059489551, 395143739, 574814850, 228961499, 944588205, 962601049, 553550957, 57906023, 60823871, 729152529, 845682760, 215526204, 766076655, 850901523, 735609647, 656381403, 487446904, 470291388, 868021881, 111705483, 776618298, 835805411, 647878303, 400647202, 299512044, 699640056, 356594583, 81583178, 601519051, 860636231, 170332065, 418899415, 703374673, 786606113, 911356508, 291663834, 146965533, 370402978, 372247438, 513792083, 894247140, 749512138, 890004516, 449447119, 1073382863, 374242725, 477325222, 43680753, 912560704, 374977571, 317992821, 976935673, 258324551, 608894702, 537370302, 896407432, 481428737, 833124962, 775288036, 19471351, 518967288, 83596001, 795811262, 420592447, 452783485, 556878156, 581761002, 643034186, 438883363, 138862475, 867716372, 419022001, 274209684, 830210783, 534137662, 215579807, 746134443, 20959871, 321532822, 353757791, 500512071, 27351848, 1073446052, 799254950, 100719436, 803248605, 262954345, 500743429, 967705152, 863229787, 919928187, 745334617, 257105022, 606423950, 108102025, 136406847, 437260787, 587580707, 914740091, 139427047, 864215906, 63503288, 358421800, 359555286, 1033036913, 378344677, 479961887, 424197467, 792829472, 395003139, 443769864, 824334477, 306742252, 486465338, 411023690, 291945466, 569029639, 540784258, 200205378, 805018347, 245416865, 76113950, 505503516, 1002785807, 439808827, 212868688, 2782181, 117400718, 407020254, 663301839, 700278177, 411170757, 610556544, 399184635, 439772526, 127264823, 959652832, 375671581, 63873313, 582075593, 651207209, 998509440, 123497011, 988874489, 409010687, 857884165, 623241363, 1002990517, 181482861, 1032246913, 512154405, 125264657, 186678660, 594945096, 891559698, 851439789, 850274534, 679072902, 543443097, 976177314, 189939009, 817042846, 337289743, 702926849, 54572121, 379592946, 755707172, 757392594, 897956645, 679553208, 763674852, 481272347, 1073324199, 259033598, 4518061, 1005903841, 909686010, 717664844, 911185067, 192957199, 552791404, 199170793, 135878199, 296942399, 334219397, 140162699, 796803480, 502446140, 52033836, 1037013201, 299403249, 392511857, 508410492, 584790, 501493623, 899848960, 429241530, 238330282, 722185223, 789484053, 807148782, 331974784, 379945772, 1072978277, 466860529, 342643526, 803113012, 638699329, 392617937, 275964463, 897899038, 444199093, 888673364, 557083961, 790977498, 912684762, 1054775605, 190217737, 550316754, 392844048, 42088332, 484767433, 300488425, 787310348, 363673596, 813677301, 685990922, 180323656, 139192326, 1047565329, 484792832, 1031948738, 468886977, 992537348, 1052883400, 209810811, 279588700, 893838938, 218394416, 968835960, 222330486, 917399233, 330297661, 374980708, 706173785, 631130295, 504203462, 733573145, 285519586, 280257457, 226053994, 912204142, 617557274, 1040685354, 1000809812, 421826006, 757980300, 999262028, 545350256, 516393713, 718610415, 1050779995, 900876208, 423178823, 259872652, 245100286, 894396667, 715055208, 148123628, 761477831, 55633110, 311069407, 831855343, 511762737, 676094135, 874795701, 540940193, 386372058, 780149143, 665758842, 1069873699, 955120391, 188965221, 517647439, 801308413, 1028873891, 108704211, 826576310, 528247771, 979591648, 430903698, 366005693, 525505489, 708425139, 500483255, 543974793, 615073069, 569218076, 662723988, 326360647, 751068718, 940387975, 964223809, 406930496, 468279042, 822650278, 584565898, 986195956, 242760798, 574409393, 512783161, 687549761, 327987556, 458110922, 434662929, 602537699, 880752543, 936468602, 9158912, 775461637, 1003505747, 486368056, 75815178, 770586259, 806436722, 956616206, 503880414, 407722880, 230875965, 795867816, 1001251225, 269569393, 893987097, 329071087, 686651199, 704253090, 220660589, 521466126, 103820435, 816921747, 688755104, 602894894, 21253697, 513401246, 897805818, 425697711, 961727809, 618926925, 769803904, 868237095, 119135749, 646293975, 782008830, 820781866, 779974046, 442291018, 706588593, 245040674, 436708128, 389487971, 199314025, 394311982, 236440326, 176477592, 767495011, 242282985, 848723641, 495386752, 911256930, 691173335, 291952757, 478389149, 1070548389, 466565741, 666104530, 933510479, 315106155, 935281321, 242204387, 191679081, 606265876, 643563683, 154336043, 125296268, 1034610642, 212486302, 988416244, 955822340, 504788606, 827749561, 294346097, 194515785, 279621127, 634767964, 411582305, 735386897, 911572774, 969347056, 43618036, 560943966, 893751857, 306346098, 460236000, 869925074, 864899529, 835760632, 216601008, 420599606, 814471868, 1064504324, 484415967, 125194711, 550359672, 209351688, 410949643, 429181089, 423578637, 1025354562, 992543141, 896957229, 960628474, 1073087935, 222590450, 278561706, 343586294, 1062180468, 809952019, 46061897, 537378666, 721233004, 756860068, 259747332, 1031180273, 800894742, 548882228, 545911678, 9313599, 393529221, 5703228, 282494470, 341107842, 750867318, 989268111, 871450313, 585990212, 583534616, 23275978, 330604935, 157070475, 290249708, 313475966, 785731810, 289218928, 668914537, 173206493, 245449034, 660911217, 600646954, 299121781, 694447012, 703152222, 796359613, 258976950, 690076401, 751101663, 503591027, 255540864, 305907359, 658687808, 160883763, 554610554, 331101547, 882212568, 664370776, 1045672372, 483592255, 491636052, 780405051, 399348498, 693124162, 238988628, 69221506, 189572007, 632863198, 471256476, 673943223, 1007852480, 982041344, 950160463, 451954271, 656293674, 642421098, 946691518, 736942899, 5549707, 226504222, 163800366, 342125476, 386703396, 272901011, 491355983, 516182463, 751313582, 446185464, 993971333, 713510150, 885466847, 323940734, 629317660, 652020086, 270692268, 870630905, 371158610, 447290555, 192020913, 675191231, 108507264, 300296777, 80375443, 31940343, 782809534, 869772452, 120985845, 950184671, 1041934379, 392532266, 614636860, 67371485, 1020821353, 781999351, 1012639788, 881708396, 893579477, 472186943, 43298927, 85687800, 141113211, 110172637, 307243074, 746151268, 118872848, 660756070, 860441763, 400688486, 362635978, 695773239, 932925924, 779175330, 193743668, 599469129, 340350822, 176477148, 1045755590, 490426420, 248214047, 918470711, 128432240, 32332439, 552846823, 407748066, 42622859, 1063159029, 1025184856, 727223446, 353796576, 593378756, 1023348738, 770347564, 368403241, 898320005, 746419629, 1024621616, 150022544, 318021831, 551097834, 896422362, 711518366, 653551680, 585270018, 1001540830, 47449238, 64401897, 393543981, 346455280, 520525117, 687407527, 656266358, 526435875, 145462573, 908478813, 393041061, 516965413, 425868610, 752841082, 7887545, 1062560397, 712136347, 1034911301, 913972118, 721002469, 269486608, 472631064, 8181818, 1002781880, 920763139, 872271667, 932363071, 337163339, 360745426, 140466304, 475935712, 504746090, 509913629, 569300576, 208526006, 1038318824, 244647084, 442074338, 157566101, 264603154, 817621188, 191920352, 551835323, 757560085, 506001259, 479417002, 59978442, 188060407, 802785608, 566325697, 318612280, 868950779, 489190275, 23253028, 437341872, 386133421, 887196861, 27666490, 56553511, 640835135, 450360854, 554075043, 903833255, 833769101, 669752920, 218585035, 70231737, 926478496, 466634500, 183926844, 1020518658, 959390218, 993423281, 136373300, 167041857, 323123837, 820540170, 283926894, 128370183, 227893542, 868119782, 200803348, 589100704, 318083275, 568090892, 1045513890, 455375909, 803709860, 595744171, 638019269, 1020575327, 1043571524, 613529310, 957828754, 252893349, 26799000, 807343877, 675628234, 758397515, 22518075, 747607004, 347347910, 33022348, 303962257, 93807280, 470417778, 439047422, 494528457, 335831657, 713613294, 66336741, 269224237, 899529356, 230684655, 935075556, 708150211, 514724363, 977505112, 431625393, 690724316, 556693487, 591400028, 563467334, 466497945, 947925550, 683373428, 578803941, 397046645, 115175157, 855380635, 564434733, 725185104, 282644202, 5396848, 848713092, 334883047, 332233049, 626655695, 326757730, 812878731, 1002439406, 332529823, 695143694, 458044804, 620701110, 678131702, 923191125, 704268192, 724387157, 157484778, 704258035, 811643564, 1064763045, 582363804, 212953856, 478787795, 194887270, 166912636, 1004590755, 396330701, 545852393, 366922357, 788446920, 903453642, 71811292, 958189787, 454246455, 169947134, 429120962, 144103062, 968596876, 483775528, 381626385, 235553857, 978427616, 803049759, 789233578, 196833475, 353585665, 929382125, 141492369, 420357085, 82729880, 925613822, 981026805, 467099037, 115601918, 320900240, 822802228, 1047075008, 303641845, 593018665, 995436343, 791569733, 448915436, 339629244, 208713010, 1069844657, 941009236, 263696149, 242541405, 185635174, 57634834, 62613680, 748076266, 522416363, 702260673, 404847486, 805278395, 599028602, 367078023, 404089086, 171807047, 310808677, 154520418, 786190983, 1053215403, 320908712, 645541359, 797092579, 872595979, 1037903226, 1052873632, 246257258, 614690945, 59420934, 692388636, 563877622, 660653585, 539440328, 110124774, 120586869, 358814515, 487449115, 102202949, 799495003, 363183808, 149196775, 958804881, 65685065, 55849836, 962612304, 524734629, 125966418, 259667614, 41721211, 713780359, 1048990520, 735278530, 125847118, 797032578, 769398932, 204680166, 828729249, 429071212, 499109177, 24589464, 342316749, 705130567, 7599191, 124009297, 605047568, 157376226, 561668252, 250329978, 120773097, 562638102, 970984454, 780789134, 923792785, 562302803, 329357659, 916369943, 260064538, 141210133, 866163589, 625373598, 779457128, 406745970, 503766028, 896596411, 540397723, 898328594, 258624037, 328464961, 813718701, 41828091, 867745721, 868161036, 51129066, 613379447, 260204111, 379808222, 768747956, 269913928, 439072120, 71811886, 950723002, 286585210, 384988845, 489822130, 299743884, 129992036, 117190547, 400313598, 880607326, 859957726, 277092383, 28091655, 980625787, 861625195, 492467077, 116060267, 969906151, 591836997, 496227488, 246795902, 358401538, 5637651, 709896818, 151511784, 511272999, 77880424, 328440304, 33204561, 998751133, 61592169, 634497720, 792177620, 129475297, 789017207, 1042758204, 42793106, 603569691, 60687820, 497823212, 1059578835, 518199024, 407181616, 1040315369, 165481002, 1024624369, 1011210768, 91880232, 269702872, 514949074, 185670668, 1047283265, 1059289674, 554404924, 1026815746, 947843687, 985537008, 274748090, 200433731, 421689242, 77266557, 137754928, 858162134, 319066794, 599197782, 672902208, 876538395, 593584729, 954681513, 560142677, 558002065, 564515256, 214362917, 870902104, 447510796, 870111381, 261065103, 269913214, 546953560, 1036710490, 513122860, 1028515471, 458035777, 964751296, 711328115, 223604757, 249763791, 970591979, 789030496, 419931935, 905040616, 156660908, 1032408305, 1032008973, 628250350, 972873421, 243260787, 509542853, 768972917, 157908571, 796004702, 214055822, 818203778, 918059242, 1010692381, 907972369, 594046861, 740323952, 961394300, 134967741, 300539492, 866882403, 814626483, 5624410, 861740861, 272209600, 25318269, 25644444, 816824928, 713405347, 545116701, 615392734, 566028753, 479377499, 72524596, 90940345, 104505635, 555005252, 719563748, 967439869, 529812840, 889679078, 847762202, 1053719213, 835179930, 309047482, 471294502, 699986844, 416834661, 377089343, 193530703, 929794430, 169551940, 716037063, 627406446, 534527486, 579672111, 360811890, 1041593218, 685735411, 212493011, 112763075, 753959400, 166751530, 26021246, 443812992, 383580657, 613290064, 830770635, 334493459, 543807742, 727574771, 492915160, 89151631, 619014350, 253819266, 231006561, 9579490, 670102414, 204142363, 8625031, 569680797, 341428378, 86905705, 566853752, 618505354, 893994008, 961381215, 826322610, 227266122, 332368042, 604516779, 28915398, 888330878, 1044063557, 373637917, 789334281, 199196609, 337877624, 150676513, 744045554, 117778767, 543335753, 845034983, 729252144, 614994009, 557805361, 238024917, 633872075, 393958604, 48652496, 724760180, 396318303, 370981768, 269094416, 413171775, 652673043, 381721763, 878011977, 771840746, 323771953, 345174966, 855700871, 421455570, 622343398, 182164864, 332515767, 445679102, 702911566, 986413123, 49558964, 229568524, 608164711, 1055065262, 969298443, 1068794767, 263659416, 664088649, 322782523, 975966630, 495340068, 388882397, 444294385, 143735050, 549903601, 761611068, 854258576, 417697595, 795317739, 754659779, 45572263, 737223241, 335861245, 794636231, 59917955, 1025683507, 160128395, 37728381, 726088767, 378125488, 768080410, 741218548, 694018196, 519550703, 873529750, 1027823121, 983711563, 200497402, 212878859, 655158396, 263697098, 829827160, 60844672, 571931087, 848078709, 255182352, 315312289, 418794382, 760340224, 92728375, 593912015, 255727898, 965062826, 741593775, 786715439, 33305562, 1014860332, 286544589, 273526885, 589130915, 712286676, 211635277, 345451232, 274025094, 177101533, 965774431, 339705416, 348717186, 478579728, 420027997, 333754255, 693666025, 596683907, 595950654, 910681307, 655353195, 405646025, 40080522, 901738624, 150829589, 1041095473, 465682869, 871295300, 628778437, 1037692891, 331749306, 910499834, 383482225, 539338861, 331325700, 867376443, 489555931, 1012251461, 195597685, 799108907, 836828443, 249409039, 876793285, 25649710, 821876116, 1010937347, 929932899, 138631828, 627966882, 896896551, 852496758, 413341605, 139491630, 451478886, 625118523, 206300753, 877219108, 736247000, 374305427, 188951081, 162824461, 537936197, 599494272, 102142404, 725891172, 456947806, 427948914, 703738398, 394995802, 196345596, 368196493, 713899492, 74478784, 773446364, 426242131, 828900525, 342149639, 246628059, 714248744, 69989912, 993808584, 595809652, 1016084408, 28477360, 276545655, 405386790, 435858466, 192928939, 869111461, 316722148, 315796197, 86566453, 131562929, 862723014, 230501663, 1060148637, 814629521, 361934944, 3945969, 685070191, 442644338, 907895718, 508832903, 543522769, 278675114, 564320831, 629652491, 697973489, 851916071, 445802676, 586519833, 646302731, 881256701, 510373145, 760214206, 540341720, 202268070, 95659681, 1071828095, 748166269, 413217790, 744196102, 511136694, 402380150, 828399815, 221402917, 328846603, 903830763, 503542082, 134015237, 85708516, 555945555, 651562204, 430264099, 212985979, 462650110, 555008798, 767708875, 914760903, 168573708, 79249033, 718339052, 600215781, 66776424, 349569107, 642480302, 283678245, 937976231, 205995330, 958067838, 132295055, 284504520, 443173295, 949607687, 692194439, 734307729, 802729105, 864940190, 183152600, 44101719, 87178298, 1042723687, 742241349, 82544874, 22246657, 308397379, 20002784, 439683332, 913708154, 764262595, 800707121, 529067544, 1057488873, 854365462, 30665247, 418242700, 764959354, 482415304, 389109949, 1002043896, 31442104, 672809349, 897036842, 678207312, 639169446, 40171454, 252746144, 410569045, 926035065, 530938748, 273572758, 122734199, 526166432, 279915207, 449411930, 916638684, 738544579, 371525747, 429804779, 961643024, 750202329, 705121579, 609647564, 533311731, 576434166, 502104782, 387426540, 620428583, 43838146, 648730850, 864802868, 443715197, 753120988, 503219604, 544414034, 784978139, 31318846, 954544727, 643049036, 190926058, 504942386, 11738512, 341274576, 866023546, 466046573, 382794339, 509341318, 1058358503, 154151028, 198518356, 190520233, 656064442, 785051915, 735912861, 161181548, 853670646, 954905324, 427335222, 1040515013, 1045105136, 126697591, 217756193, 111395983, 632542250, 849855824, 745987587, 845246983, 106638555, 517245236, 321246905, 605555696, 1057677664, 992428406, 62324104, 525398450, 183348376, 385836072, 329684814, 398325509, 864865928, 118596012, 160572659, 389453768, 982503673, 510044584, 739064826, 474223179, 217945970, 773388304, 773763297, 29366726, 334694869, 880179498, 821495416, 663027427, 527863911, 760728304, 463792350, 244810215, 7673087, 398802684, 548936999, 1050652024, 963196655, 611145461, 615377630, 668777982, 238208948, 969176528, 681404573, 678708169, 495089509, 682748943, 388283416, 838009996, 103851301, 293388704, 730880694, 310630115, 618221634, 633501117, 681770382, 960853460, 209553584, 71599022, 354644414, 305651123, 854376721, 771464227, 997081313, 555789437, 424121364, 748151985, 520490767, 615204837, 438590562, 717250958, 108726915, 768903688, 410553048, 18927299, 447776081, 601761331, 1028505558, 979189753, 589010030, 201350361, 351840572, 1066535243, 301313715, 481986744, 176842857, 665009716, 1015004410, 962511228, 70882151, 297665039, 1048021055, 885374436, 618431771, 259285409, 729281096, 734672482, 258551834, 1038759278, 479445479, 644390094, 3501926, 146705588, 82542075, 489536752, 118736036, 101434726, 876102706, 860716568, 574744338, 497595680, 195169081, 622910083, 989536087, 905159917, 885978617, 675288443, 823995393, 112629985, 576998497, 36455756, 540929831, 306826791, 488301328, 771441112, 988011111, 43302944, 238569692, 838442229, 1033879959, 331783705, 590905562, 266374863, 736210407, 1029737308, 61340275, 11958420, 485160157, 975288592, 876457313, 512921279, 969396981, 1040976215, 446188017, 595413981, 770009590, 523278345, 451640995, 443760612, 32822302, 1005507739, 763343322, 798558289, 1013650753, 989564243, 811023503, 581011383, 578159673, 826433972, 535449714, 887449364, 599743176, 755306840, 399358080, 186260352, 945477677, 104159556, 675938197, 1018768367, 210887278, 789214280, 173363627, 732740423, 70335738, 386529142, 307444794, 819521459, 1030972346, 416345796, 59461259, 506775707, 261276440, 659654580, 159351606, 766753457, 137832299, 864202228, 77581287, 796728976, 957630745, 176734196, 766645486, 837490121, 105675548, 927514056, 207044543, 262154160, 333803906, 960151720, 473754898, 413936829, 508386669, 644938335, 591096211, 292423440, 814559877, 36096997, 623560014, 283546346, 934877597, 27795575, 776640295, 311773916, 627425006, 1015976176, 123860706, 350103369, 117238491, 146393592, 1001079873, 348016603, 51376571, 1010614115, 941762945, 123363364, 370024021, 838252751, 821884201, 598883816, 739916606, 589424410, 89076590, 52851668, 798818103, 325377229, 9155917, 225274567, 254496335, 766290903, 540939270, 63075334, 969417125, 466791549, 607017274, 756337200, 986513722, 666061526, 93971713, 917511848, 482166175, 454828904, 1010168627, 619556879, 637340832, 1004377429, 860122824, 935281177, 87802376, 495568938, 507251467, 152216463, 513694942, 370699073, 939787976, 684405586, 694555498, 516510357, 101607416, 569908246, 312774344, 854506683, 393683710, 472868095, 798670754, 1043792476, 366313656, 369606494, 19717717, 752426373, 138089664, 1022437313, 935704225, 180380944, 684936065, 149247891, 390409955, 643962837, 1026378656, 230433905, 344741346, 979395082, 624974817, 472113574, 573935570, 942973448, 938339622, 632195861, 192571429, 910520398, 1045134450, 443259639, 149038917, 796393671, 726459346, 1009100629, 643387258, 282004843, 925908755, 544620604, 834569462, 612207774, 1038255801, 764007991, 1068066333, 478563944, 622555193, 990627155, 335833191, 822387254, 598332218, 849854894, 329964032, 510652955, 624101097, 332768973, 86119486, 1001387126, 234901995, 89221489, 485460393, 1022424704, 665491526, 648323099, 480950848, 185516811, 557491039, 755037182, 821683508, 739281372, 740015958, 540340068, 892008856, 146576824, 641104627, 947532161, 434019122, 397583911, 190679629, 580277024, 312733983, 595957898, 1029594214, 978800264, 892573034, 539851133, 914811876, 247343477, 107489102, 261434508, 732488418, 761821068, 847406322, 1063035098, 854622547, 388936128, 51997004, 924066421, 547278651, 885601776, 675986660, 679869798, 691111553, 138277635, 825596085, 727079730, 473044856, 376120588, 839060759, 34534441, 271936135, 218702082, 54122065, 833332506, 279656962, 976508780, 883782338, 820335447, 652179728, 324770306, 727192154, 112108099, 302826315, 1052131739, 139467466, 764609068, 672876405, 583894295, 922790911, 148826781, 838590387, 472827328, 777233472, 940780065, 589028909, 310249118, 432539977, 94594227, 520116963, 230678453, 819273915, 223857219, 479537161, 702811863, 396287129, 208359898, 244620667, 883865452, 949329878, 201885963, 695352578, 569812821, 291361468, 1001782071, 193483516, 345082874, 369339000, 802431583, 787458130, 66493446, 706291365, 337963852, 108785274, 500235717, 181977602, 1024253641, 380118585, 182869003, 970668671, 626481960, 219115988, 297368405, 1036060220, 221625432, 975333336, 475144408, 423972827, 392652224, 206766320, 153113433, 105407462, 220129030, 587671695, 706758188, 851121592, 342531471, 465453058, 631156907, 254326449, 542349744, 372750243, 781029914, 977567144, 883801987, 351283827, 729815191, 77951629, 256056618, 970712665, 424888914, 148623960, 839130400, 943338061, 884488619, 1020410519, 17756649, 978557184, 55053758, 53644147, 378027016, 216753859, 130870921, 1028064704, 172193518, 8719950, 467929575, 956209254, 805948335, 614455132, 442677242, 669343280, 532425524, 57334793, 674112554, 579828120, 148282515, 51928746, 18788895, 394416102, 630324847, 629295895, 322782901, 64190146, 636405287, 649628040, 606327810, 247121650, 462766924, 831059139, 869441683, 17417199, 591547435, 1002759233, 506251049, 301996096, 954312426, 85353834, 1050658607, 850606103, 1048379012, 392370026, 293393198, 839387142, 855348815, 939069838, 47069210, 653336269, 183045202, 304028276, 98217494, 617104656, 31177099, 557668447, 371887271, 762879264, 1015056958, 691647123, 77532034, 889414577, 641129644, 949436321, 390274119, 407005950, 378210441, 1052878229, 638807304, 117361531, 40657575, 184104338, 577350634, 116612860, 262903543, 862716611, 613224271, 205745949, 987936599, 16968093, 184027366, 612002623, 1033890220, 650255595, 1050329180, 115680707, 598126882, 290459414, 878708672, 29949794, 566586306, 1021944596, 706634022, 915065538, 179801427, 780792580, 836889017, 144003615, 147979531, 983769090, 170910289, 183006811, 828241193, 388774896, 1002857117, 566672667, 33076665, 583020548, 287185834, 1036212881, 702704064, 434305538, 660738169, 960633122, 684744250, 544923158, 440723076, 463804885, 97765635, 467790105, 196652138, 1003306870, 345251022, 357422331, 403234904, 606413905, 129929133, 246186146, 981024372, 503627752, 663999175, 798328338, 541742870, 104707304, 464305320, 346384688, 239032191, 767193581, 622481502, 741843398, 984851210, 220747985, 453530520, 1032353418, 45277943, 731115516, 162140885, 257509014, 735186074, 206003580, 119214863, 845994352, 61203785, 128353946, 718528687, 467467828, 492820246, 812377397, 736162775, 173996376, 234951239, 607815284, 366701653, 290539137, 295093142, 28421503, 148956253, 983398581, 943423605, 1038515259, 485013364, 700705729, 428712351, 994879217, 492803024, 839739411, 128966790, 231343102, 883163226, 868676269, 406935379, 17700901, 878528586, 617078792, 568292573, 231783929, 925050203, 512196357, 199224769, 1056204230, 657064055, 1021589073, 272712883, 733687981, 975563048, 88621335, 793604021, 999343063, 956187095, 727373594, 758463916, 1047017497, 966516638, 1056183160, 281819780, 647094806, 915275742, 632722089, 744487302, 23241976, 57822808, 748913928, 133794087, 122446582, 506343401, 323834746, 284895924, 58023646, 563308692, 967935006, 1032393594, 995867637, 787528849, 459303890, 317649566, 837991023, 633245911, 910195080, 713184063, 181336496, 90123499, 22583721, 8795998, 494604938, 173991977, 579008054, 737151217, 1072958029, 912983557, 203417766, 624376169, 842173986, 170035384, 567003243, 58844645, 16935359, 410428909, 228187174, 5808421, 171886313, 590926833, 664757292, 880520187, 823044508, 931647653, 567416850, 910524427, 175908579, 791365784, 602162221, 726355534, 269857684, 730375392, 664160247, 274354890, 315291063, 48593611, 412081788, 854881468, 23495232, 44761087, 183091221, 794003959, 215309072, 120476984, 231945219, 742030945, 575291673, 854043202, 333626092, 416779070, 700255644, 825348415, 443550190, 211134555, 248531875, 343699554, 573982399, 584386355, 141238493, 323525133, 273264319, 137888938, 472527296, 600973173, 65257864, 1063191998, 478052457, 630271190, 624026282, 1015412613, 966562371, 624954947, 225112772, 835594342, 15019956, 76245950, 446830719, 795639112, 346852708, 1053120720, 521942156, 999094407, 1036945203, 1059145861, 315820022, 790094341, 625841318, 765110301, 187377354, 890847652, 217778637, 747952788, 243755359, 712072870, 904016244, 881966362, 105578053, 465581055, 248150229, 912954131, 372054601, 798849072, 199400896, 114037604, 164237124, 51716015, 85003768, 949150315, 1002989228, 575116726, 1011541309, 1063664542, 473616022, 15941357, 72736964, 704778909, 323498334, 589812718, 191269792, 766138602, 698381097, 160526749, 300789943, 16224458, 795752943, 809621216, 555005672, 809385212, 564637573, 868278218, 87728791, 561926052, 26409927, 463941839, 191522060, 190985274, 29308209, 796011382, 123872055, 32471835, 577895837, 834260548, 13000824, 81204470, 871232385, 671906252, 812281621, 101634180, 479617167, 606737367, 283062930, 654181719, 14476445, 437345241, 901307041, 612629834, 726661146, 126092756, 23640456, 685981115, 849463691, 202939195, 458210188, 867768238, 948835234, 1064914211, 880714493, 122010397, 355292319, 46950876, 1064943099, 476565916, 895606244, 46724581, 69493324, 120876606, 810068212, 638936024, 164394401, 353837857, 932094244, 38806790, 215508085, 817174656, 806985841, 737273112, 321766003, 773890148, 479661300, 331272990, 786202169, 1020614221, 475243399, 232154738, 1047562288, 977873254, 886000037, 768556171, 1045407634, 600767574, 289684141, 281690303, 650625388, 422652764, 279064295, 878761051, 927004055, 870824509, 751263784, 368862756, 409859443, 609560292, 90791521, 725329105, 856975628, 552259222, 1048806967, 244602652, 995492497, 69099135, 985735989, 203068685, 292524782, 650618068, 721479413, 222852294, 511739738, 1023526699, 730523891, 434003661, 888829881, 233572027, 638200757, 934062212, 692620099, 415442184, 63310731, 46151508, 734834988, 831606404, 203989433, 651039636, 679979441, 645727253, 843489727, 969159431, 627380481, 1030614323, 854720010, 569815653, 88828838, 670550419, 955570138, 1515198, 113500638, 407072575, 325636999, 535595617, 873111660, 774018551, 403982999, 488375830, 410773625, 128884132, 668841205, 625106731, 536258290, 873417145, 21441007, 746400587, 307510930, 293641103, 839963606, 885886876, 730217006, 885774687, 709038365, 248799331, 811977224, 439723104, 970759119, 719413315, 777822266, 888378115, 1048372857, 836023643, 432890630, 983655975, 956531876, 332460013, 445633226, 791040080, 678860929, 989927680, 913466579, 971383514, 1009598480, 38628457, 497789927, 264282552, 450038515, 481406307, 918538968, 173061619, 698640247, 651424926, 992364362, 300774347, 63105113, 429384934, 96873389, 133609743, 275418622, 677041909, 859753789, 320030390, 502404222, 887221187, 859585841, 325353761, 1009221525, 348207947, 938519898, 590031002, 443175411, 175930311, 437282331, 872331537, 88370380, 401454595, 534153432, 744402163, 570194749, 1032809672, 690936729, 966435965, 598443069, 321411362, 189371265, 723640043, 508362925, 457984210, 1029507824, 488348203, 1013314185, 884403854, 361614019, 254487098, 333082786, 863864555, 998107237, 294222423, 1048363567, 139206181, 144752774, 820029440, 314041168, 118505523, 409638991, 658165738, 441941024, 1048402819, 963243533, 106848189, 724770762, 734730082, 928807569, 492076195, 152401066, 195585579, 934990508, 960139204, 688183441, 873692237, 890015685, 101717330, 440741830, 903584675, 290296598, 705900327, 1046507889, 922304952, 38037260, 26878334, 472038117, 245317171, 58696204, 838580171, 451889102, 619048477, 895810385, 20043821, 548604421, 873442123, 485485661, 325827468, 958672592, 317524256, 241841156, 576245537, 93767086, 748752168, 885231441, 861315946, 201964100, 585240189, 253640128, 986215362, 902805013, 239829916, 804573131, 917035426, 867070721, 976675731, 153669898, 885363357, 650845835, 123286822, 472015436, 217788095, 70880544, 128024149, 796684579, 551721017, 150484287, 1010725305, 460402370, 470928058, 931321334, 640928702, 529219473, 744936019, 1041744143, 133709660, 463722089, 848372936, 325070075, 348745991, 951204588, 73392754, 719836435, 622888522, 566481351, 153666279, 623994603, 291399389, 1974652, 564976125, 78260087, 159687030, 916431641, 945951450, 1071763889, 180809602, 216330329, 112741965, 411360203, 761348726, 839870233, 551296214, 575317660, 606770047, 382409176, 47363309, 480206960, 351578089, 1063521758, 645456079, 796692018, 30854072, 851862148, 153889979, 195414279, 22070534, 474382722, 623357353, 1009361817, 536218663, 849063052, 958246177, 359138605, 461782484, 2995080, 93061972, 157634026, 796297899, 784926084, 497764492, 396265783, 951306660, 463650278, 381109118, 258988055, 822050256, 871374200, 1006845569, 994157454, 362780284, 612484343, 284263153, 696003934, 675227362, 216102080, 106613646, 145861980, 1048346208, 144440523, 127457279, 639726820, 831183231, 158761841, 504986464, 480737664, 481672560, 993599726, 603388678, 1051021708, 659538681, 174665829, 982773675, 118920459, 1021917499, 615771207, 825076808, 216919343, 426891141, 240653480, 965308144, 487746519, 784265264, 288586902, 372319895, 550180066, 222496512, 843397553, 878615405, 984347548, 145215590, 860611743, 673951500, 737158737, 1061513611, 685959133, 397258613, 328864303, 972180446, 324726802, 725548225, 817896804, 242830004, 818887758, 454107830, 491883733, 149726067, 715455564, 197881989, 108272887, 800051819, 492348363, 420267315, 160726545, 985152261, 605825282, 877749616, 106476192, 44763939, 243001934, 825055921, 37311837, 648674068, 884123616, 168797088, 147835578, 5493781, 676357439, 29957038, 7076968, 834521969, 1017991360, 679648620, 528341615, 853254709, 553560930, 99652529, 959176834, 749426099, 514434246, 1044941697, 923367094, 854612056, 1059092446, 149989606, 267059554, 373852628, 575947844, 857264638, 814512016, 310940900, 234441630, 871183850, 1015302255, 826833186, 89861619, 994603532, 353541919, 773312959, 441731278, 773218664, 29221542, 702554622, 619814748, 871151868, 213605497, 839911992, 28498152, 897792747, 1033741166, 680792020, 144598035, 631826535, 494025263, 907930538, 631405153, 1039140706, 972058601, 31212901, 611923365, 667742726, 660481971, 604659933, 595961214, 659352038, 175845186, 420515822, 162520538, 682813573, 871809839, 1008406862, 921378382, 51802580, 903861346, 191815359, 961070238, 1042996227, 168861789, 578545346, 106788055, 202783735, 457757650, 808122521, 838350076, 631030511, 395422310, 770520441, 231540759, 934773997, 612918134, 290205228, 767674833, 982498437, 329870716, 475738607, 977009710, 74027428, 445754459, 995816160, 157516788, 339441654, 893786303, 783004262, 628268094, 213969501, 394298386, 723647531, 524050104, 1011153846, 142079314, 597915489, 736811230, 929465521, 1056153356, 250037793, 486207534, 437109643, 107550382, 101657784, 677499018, 833723439, 66613161, 496475065, 210294838, 953254050, 74832648, 87290495, 215966969, 964995946, 637232105, 277062385, 864527981, 1065247882, 993228097, 446070819, 446093972, 962222461, 64503806, 174827016, 890048320, 940171548, 461195899, 277307678, 209136320, 328966296, 122174646, 152110618, 565729003, 334711977, 956479898, 573220684, 558708725, 109063624, 274703420, 641111398, 756951326, 993656196, 29415840, 221030009, 84367613, 233048328, 768595418, 298772887, 944753219, 593489468, 40036802, 238743445, 781605431, 229728188, 45645052, 371712949, 962219054, 611185708, 1060919734, 1063075447, 332749672, 754866641, 830173852, 117794390, 646258908, 104190760, 827445502, 474167064, 1051999121, 398408744, 72452567, 494372235, 522546615, 573873196, 618184294, 462749376, 635818293, 249617467, 595724363, 879875234, 724848462, 427434501, 672675640, 791382671, 137449486, 529663107, 709564463, 504348888, 464547130, 219604540, 777979604, 1012970536, 14023382, 675303780, 548364660, 400025988, 1013662271, 681082556, 165031226, 910609468, 939271622, 711257149, 813690203, 574622335, 440209012, 26810836, 46598527, 294408290, 466705797, 249183937, 562118144, 663434759, 624737932, 370464885, 705453761, 382427399, 344225508, 64617084, 840000362, 765303200, 1053961652, 172416426, 1059007919, 508044483, 767537965, 889936837, 155616067, 929584942, 808302005, 48647241, 105472441, 592845249, 762329984, 157096823, 394755447, 630504564, 8035730, 303258010, 607547608, 688442935, 757240622, 941593386, 153117008, 1017120113, 208923036, 648064539, 513350457, 775236175, 732023014, 345005924, 696067105, 506897537, 1035320358, 167129746, 819852651, 597369980, 823132995, 133727293, 61857673, 176782373, 17893776, 195764480, 332815125, 44896852, 578863420, 248960858, 769339023, 638635678, 799239015, 636688753, 35038556, 637591183, 315338088, 548112623, 1057633892, 142122052, 225037432, 9810971, 48708913, 623248693, 413385752, 696498756, 896620339, 1294396, 208355429, 297357973, 1005822554, 317928323, 312784723, 832669729, 60985902, 299025986, 715938584, 772200447, 350280935, 1069845470, 630669819, 948175155, 921487230, 130256503, 1014866619, 786775190, 287565279, 447171681, 317641820, 134651626, 134726754, 805318661, 571757846, 600058315, 827472564, 61758781, 41287040, 1071674970, 709431544, 781417022, 398168284, 3764325, 351385336, 345742404, 455160419, 951831907, 39269706, 952781934, 931599102, 272631822, 601527446, 382568389, 247467261, 256758912, 719840825, 654135418, 747103446, 858140979, 570860223, 525301169, 238492347, 927684075, 345511698, 351350460, 972894953, 821060379, 997766254, 54136070, 496507913, 986783139, 747568934, 1057326950, 1009919008, 198950192, 700289438, 592585933, 778783309, 206236765, 797730961, 297144094, 91518887, 826268108, 504267124, 156489573, 809860905, 596701633, 554599192, 865812688, 450346460, 727848911, 848861059, 771957823, 762630, 42030080, 180024116, 869121357, 409430800, 911579936, 392856009, 246364778, 184632715, 72220867, 78162668, 1000856705, 96744943, 343109825, 530442844, 844301982, 817932536, 930162152, 893631224, 912126553, 628386597, 679553723, 819736126, 964332511, 577686163, 256902390, 210694046, 664599836, 13572864, 609498050, 950975752, 110685311, 625675153, 1006249805, 927053012, 455863601, 163240017, 97308233, 598553621, 1035979410, 440461916, 508318879, 1048678811, 514726340, 693960031, 185887411, 183376308, 447600749, 46903753, 34889467, 327197882, 1010279000, 517567379, 27858037, 1062729902, 303858549, 308090267, 521342544, 718661086, 432288497, 617438424, 150068123, 654964986, 827933288, 805298082, 389494005, 1063869127, 1036789118, 280072361, 537214857, 259770810, 229217338, 805349922, 861926867, 905376102, 471157043, 547017095, 864787900, 1001143275, 595147955, 1035586545, 285288112, 1068986053, 802807578, 765237189, 264336311, 1044853943, 304955966, 229932443, 547173151, 493381375, 264374144, 700559173, 8438762, 1011164505, 1041701186, 876282202, 984631105, 600425903, 596957134, 336869009, 458025833, 656503046, 871645454, 719454657, 488740242, 905385804, 583059490, 1041516103, 730838985, 968617255, 1023061719, 1066505860, 375506133, 698503040, 115088777, 60546711, 666277024, 90694330, 200782251, 343558104, 78967550, 1049198980, 43611318, 208985750, 453592728, 579109763, 1050814262, 237460427, 946074983, 34741349, 111333652, 751695388, 539273955, 796478629, 290009684, 921692223, 682337457, 542160905, 936493745, 420588467, 633304284, 1010156337, 468974450, 787791681, 1016670774, 941445328, 463524501, 633564829, 164583824, 301995062, 23121794, 110978108, 168730098, 805531617, 903229821, 571580595, 75443962, 947344756, 214442622, 3209331, 719409726, 74443123, 637736097, 438543773, 661937077, 152356621, 26531721, 64971119, 753796583, 772687647, 225432078, 22022900, 792892609, 77016304, 714151046, 373740500, 1041828637, 662141317, 156787825, 327879027, 484376464, 737428853, 448129091, 899335650, 495137679, 946284964, 464691344, 467192218, 735496867, 528487659, 608686607, 763298940, 657062550, 618383100, 1066118355, 1068284646, 848432457, 730904023, 1027233617, 264195545, 834371518, 840886241, 420786665, 575983431, 475362277, 144953498, 825763177, 864036093, 73712952, 266960837, 126583990, 525480080, 501157849, 362337394, 950045737, 523266927, 891881105, 325157600, 953410503, 578279356, 1029001595, 38120980, 854371868, 532732118, 375486648, 465292020, 332601620, 273272855, 507114492, 276713540, 643514267, 603587016, 181173048, 256939408, 1024107894, 358318617, 289981769, 974076269, 402461693, 713818042, 525854331, 551122542, 905609713, 667695507, 164703522, 438927598, 726404266, 217490080, 135132063, 876798764, 17948879, 440523744, 466353015, 15147212, 37358289, 511408589, 381405941, 156100802, 790613543, 566111221, 423784831, 834076235, 606911035, 485661588, 515828746, 1043882671, 89293530, 717619725, 422612429, 57073604, 23230301, 557537648, 769255477, 25377700, 827995004, 237887726, 880786645, 67632871, 1036135216, 601109602, 238571943, 6865067, 702876221, 857409530, 438550410, 364446243, 871462413, 619494079, 393190113, 538120522, 47164869, 289037287, 303562319, 422359480, 192644211, 179023822, 965153403, 12954729, 194678815, 566071305, 663195937, 142018764, 180484708, 148002631, 1016308703, 154457628, 1018688820, 117229002, 973825707, 60414506, 34186696, 272067151, 577837497, 693783421, 81131820, 106732211, 10690917, 496539549, 219568970, 1069032299, 788594580, 330723926, 509868634, 86023917, 267777493, 141520167, 74216369, 846395954, 811259624, 403669013, 326682748, 727189412, 499144351, 970241143, 25100853, 617332781, 914508363, 193444176, 576667577, 579659511, 858114786, 690009953, 191078590, 922706994, 671070890, 981914395, 311844973, 856426014, 356070154, 185872068, 912958317, 794618627, 328200489, 302726677, 254345541, 929050864, 517847148, 119123363, 718849299, 231512089, 432052880, 452936004, 856800359, 612244430, 560381558, 427815352, 616730121, 639945861, 449762295, 17429455, 697746280, 686811175, 431103653, 431095356, 453483700, 391508723, 189203694, 1049023205, 55375030, 411058024, 451568168, 857906394, 838473062, 982275254, 407368510, 1002311006, 271876473, 87301355, 525774162, 542766835, 744861861, 718107892, 47685964, 306650040, 758903831, 194131668, 249202752, 1002244340, 971537182, 206385613, 366527850, 998730562, 149544892, 315907214, 202098982, 747825386, 358880155, 413891708, 641740769, 684920714, 642131654, 57147804, 219731697, 429202869, 58050036, 855722354, 13186818, 557125275, 907975765, 885097188, 818494750, 355163576, 975698224, 269816656, 181473624, 786745384, 221502477, 599278142, 8574502, 475209213, 538460819, 379576095, 954241334, 727799887, 500630928, 1039529985, 685575659, 497174590, 299490662, 218592303, 220999137, 838039336, 939639116, 78867010, 460635160, 211505163, 797985973, 814926314, 494676460, 416598309, 135393108, 1043185344, 987356964, 156633488, 41444941, 892948468, 1046264468, 26727166, 587471519, 638310623, 362282210, 1034944547, 494939004, 993183441, 148927292, 30124384, 1064477240, 349448808, 10752478, 281540899, 434100253, 397603890, 692407320, 494711352, 898762707, 775166705, 741680139, 636705600, 270362491, 318658727, 58388108, 75922064, 813344840, 813917691, 562525935, 256989075, 575120060, 446601469, 931922934, 141229978, 199454813, 808011645, 535602257, 406975951, 486216928, 449076190, 717133530, 443409582, 1933892, 747880939, 32604773, 246355818, 402696982, 42224842, 46107764, 357587084, 967630877, 1034704402, 582524327, 938495146, 132284844, 30582267, 102727561, 583633601, 116959517, 364500166, 381479998, 967149657, 888184253, 268039932, 301332410, 248586416, 249478487, 42786319, 874349023, 431206656, 74671323, 112037694, 926465737, 1034553591, 678870781, 273387150, 984367018, 594161186, 826859443, 973842262, 267602582, 517930057, 70256185, 501165564, 752380271, 668947357, 135867429, 108742279, 437942721, 152402139, 745767651, 102224107, 564931866, 595170846, 479531118, 363401279, 392549509, 890623312, 883098035, 666798873, 382164868, 904994987, 374647186, 757827365, 357968328, 1042905072, 576049459, 910057586, 943908702, 261429895, 849121517, 507739786, 545685126, 1014991603, 938956422, 864004411, 48917603, 82795781, 530339052, 93045397, 633135378, 904405062, 920990857, 508929054, 365709181, 574381200, 53194160, 315625848, 37132910, 55595070, 245166258, 398602950, 198853542, 412625049, 496575813, 347929689, 444022480, 721864999, 335062086, 411162137, 273045308, 543147060, 481534222, 419636172, 82839285, 936395949, 1009101090, 755353611, 526088223, 631058441, 366949658, 125636639, 101436093, 196824222, 725534261, 292658776, 244412032, 840876601, 763862398, 111865321, 75020029, 986547863, 503735750, 482619838, 75367062, 468049229, 795094325, 103295405, 87022123, 880398702, 941590289, 388433082, 492849603, 269696628, 658884136, 940028431, 437613697, 973598977, 746924815, 239176527, 422858275, 625366358, 541026723, 514423535, 418304775, 1060869903, 771205843, 730055596, 431942639, 652704681, 804174061, 923551505, 476755323, 692371658, 146415330, 359401119, 633098640, 994598481, 13849931, 948814982, 170084943, 562739937, 267819808, 397623959, 520866238, 250065763, 992156996, 242254108, 650925233, 154071807, 882316227, 987852535, 854934075, 223512128, 76499756, 552230013, 229041205, 76108110, 472542838, 236879178, 25161964, 941944083, 827277925, 420399659, 317952806, 951570779, 830277764, 167171446, 864340534, 288444129, 374254720, 1049296383, 260400155, 339609443, 76776724, 17554438, 587001126, 629136201, 1039969625, 794374223, 115154741, 765219089, 431230276, 595547406, 490543779, 408393875, 100701747, 542646919, 549111428, 537923510, 592076480, 617239471, 502401329, 84059870, 137016624, 298123574, 835295025, 707113829, 670958086, 252505600, 1007590872, 935292103, 157225231, 655185412, 202818417, 189254593, 534369954, 1001144698, 274533936, 1065712664, 845706520, 970839841, 249826316, 726794054, 112431492, 571577965, 473667235, 822307073, 790586166, 430154163, 1023503403, 75070322, 230190267, 565682716, 267899037, 135156399, 842938853, 784861085, 214387882, 937165867, 233827329, 103083818, 251909169, 394366005, 1066772738, 372705736, 400810882, 891146876, 510488082, 367860297, 452723681, 448560853, 1038290206, 443048591, 313725597, 947162674, 85067120, 152985292, 520845017, 1052411550, 601477116, 638665478, 845361234, 671307405, 747555465, 708904377, 526658064, 649488483, 644354994, 874395880, 907267797, 465609748, 558885037, 358172274, 492151046, 842136617, 723914361, 668743577, 1047630617, 172009737, 790619971, 1039673638, 591373491, 789916962, 299344636, 396343921, 24357811, 143317987, 923842202, 291148167, 831136644, 126459781, 936882456, 821933277, 928489343, 658619384, 861850448, 1033487781, 1011475758, 425588908, 647749445, 20439929, 581248984, 718847132, 894598234, 717613345, 892140149, 456052228, 420137342, 482011544, 576129854, 1029574169, 613188341, 634998759, 754986486, 53358121, 586378711, 815264154, 37087259, 1016784993, 853181692, 829154950, 948935691, 895918130, 861580177, 245375427, 708221245, 687838755, 389649939, 319382865, 655007909, 575394606, 568945913, 666016031, 430370008, 1006143474, 177350815, 670953244, 37177912, 364897571, 438372249, 979605649, 293806257, 220005991, 982660321, 277770102, 526490231, 779075025, 542682929, 623213187, 762887418, 932267428, 387537602, 916574457, 616398723, 514176008, 307908597, 326978442, 904008851, 202564058, 542009763, 513220745, 604371117, 392779528, 755336683, 5729917, 176108221, 482205254, 70806245, 338716240, 875579639, 631779913, 421617380, 604211777, 596575618, 428753563, 670614524, 285780239, 561034969, 510097921, 845603835, 856455321, 185441068, 822097375, 685197937, 195379960, 525651460, 707649023, 461122787, 358278166, 767990197, 404837018, 612156344, 347022432, 1051842420, 781567691, 973029276, 28856914, 81735739, 831293958, 292404603, 28396026, 756956797, 174640135, 627005407, 975696386, 422686989, 131461691, 1021442924, 502057256, 76875594, 13110601, 922975899, 114100493, 433430132, 463686570, 1024030208, 406948668, 1013149785, 64431026, 164440906, 193511892, 790915693, 89992451, 94399164, 1037118869, 566843029, 804107444, 80715309, 623183096, 466605354, 807121629, 141871785, 605131000, 427881245, 809770128, 547232754, 668098752, 422251875, 333723899, 603744730, 755555531, 972513025, 676674617, 552685991, 272711853, 223745504, 48508988, 368183199, 389242947, 227329707, 1008474540, 399817415, 238280739, 53188082, 1064383429, 305861094, 736394950, 245463828, 960028621, 934649204, 898951928, 300079122, 407764578, 383230995, 777313321, 887075811, 21299997, 994447658, 51079103, 172129888, 460754968, 269913573, 933526990, 567781540, 926772986, 1067148445, 471013191, 930130661, 166050263, 2905262, 39013572, 52091184, 587702815, 272035978, 287365379, 70666444, 697506668, 856410731, 900657214, 998901755, 547506579, 500142206, 1060358159, 659786811, 873316517, 697126705, 391916638, 36446610, 350319388, 1011959240, 922333367, 952115749, 687111682, 1034218430, 499676474, 615930268, 815952271, 778541790, 594544378, 222524933, 676910950, 1034079197, 14335880, 574786991, 152247381, 619896219, 973148731, 340251358, 467917201, 510692296, 397087038, 72558596, 816388749, 28642386, 469134337, 140491608, 426175056, 245636703, 905219298, 527155057, 174872432, 996378932, 450718830, 313341313, 252260152, 948672808, 128851033, 192292042, 645949065, 757123701, 479898089, 170736386, 937292585, 271329272, 659304011, 238567402, 29771090, 116828644, 1065359628, 126650045, 1001795460, 306490657, 503764438, 743405992, 971003482, 890200710, 567054776, 770075263, 442671730, 26265655, 140035991, 22272609, 49611528, 403553617, 133329219, 265624997, 190987722, 337778825, 399775545, 600228197, 1051322080, 25005797, 395171962, 759939148, 441992391, 947941627, 491327403, 196068578, 21602476, 238803018, 379838764, 987666779, 108189790, 104229089, 990679140, 364002849, 576152971, 939725, 481419002, 655408629, 196419880, 593844974, 840865659, 856277089, 741117008, 4417153, 660130403, 838348955, 678363908, 34314106, 102308217, 602024857, 690537472, 782422149, 231623288, 10403258, 595393765, 479898198, 327308755, 431469816, 146442195, 346016949, 1071896426, 462267390, 608561574, 821964426, 397327181, 568747497, 197136613, 598245901, 678555975, 930769043, 267082889, 563321239, 527960962, 399503310, 633541598, 957086439, 848252777, 706555632, 487587415, 1040776338, 203766979, 626915443, 480480085, 1038879795, 213217492, 322865867, 718282094, 349537913, 834871063, 712992348, 818586551, 945134712, 1001431057, 90397119, 203912727, 930699769, 674625557, 733260212, 745947446, 5522067, 913512328, 31491240, 712508925, 729954121, 459525437, 100615679, 620281938, 2547196, 501805922, 266060204, 740796607, 241413984, 607736671, 663659147, 53000376, 1015750458, 1014889114, 54985660, 160705851, 371427679, 760253684, 170206576, 730690882, 682505390, 612336374, 344449435, 274977268, 914924384, 111173136, 715546813, 1072487444, 433706150, 77713793, 441693700, 980763439, 777400017, 537413953, 1029599333, 643976813, 824270744, 516023872, 301916688, 211901857, 779379207, 665074664, 404458882, 396875413, 664739883, 491621810, 983479609, 271470379, 1066257567, 22670962, 407190244, 627181871, 940191116, 717676332, 469879236, 528956047, 525328231, 209951774, 502723245, 212838876, 574438051, 873680327, 724426240, 558311765, 1014620604, 286409456, 744309661, 379094947, 251479956, 902510670, 840865983, 859929333, 770104315, 521356608, 118140669, 225176753, 295082547, 997247077, 1030142582, 806682040, 991866574, 663482947, 846601311, 918204831, 903223230, 915341550, 659510635, 381399663, 375750298, 520944321, 136818360, 533618704, 610231122, 126264754, 669473090, 704676520, 1056941793, 708746920, 206085664, 144315639, 694613286, 772258406, 736750790, 670214637, 87164188, 41686161, 978365091, 38114413, 556099450, 342177668, 970943120, 258262395, 934196291, 74352880, 562763194, 849312394, 590065638, 106349563, 835554312, 332767504, 255701593, 800862022, 169016193, 636949259, 617696791, 556662311, 748836777, 790387761, 1003681505, 708070031, 636273495, 496692599, 1028781380, 191440197, 500679655, 835087145, 307750640, 1006788693, 209249716, 260207675, 139402385, 989986999, 1053429479, 191890030, 641005975, 235733742, 887919617, 462825083, 654741864, 294620261, 452537382, 515178968, 860211338, 728024536, 21269951, 752104478, 732266780, 320164345, 370172069, 545014104, 211832050, 887738247, 74333096, 900371379, 324510588, 27835353, 732789250, 677342617, 1016573526, 615471133, 789814532, 382528908, 418516398, 288196069, 717285907, 776197497, 665786933, 796391701, 295057969, 790029115, 469705849, 607243883, 724264604, 323997356, 842153020, 917670189, 674407482, 56706546, 905793277, 454532605, 85235184, 411474498, 453028118, 342102489, 870761462, 487693592, 608750241, 821776228, 971247635, 686658863, 632321401, 294768253, 76647382, 805328906, 837065706, 648101936, 700001427, 839641224, 504524237, 321864592, 565512522, 566292829, 434378685, 773527158, 432560395, 611089999, 480374070, 878819995, 392135246, 384909755, 951278747, 681204022, 99215121, 657020316, 259649825, 548984739, 976816596, 744854945, 713266600, 51826182, 51414329, 865046750, 550688842, 702645294, 57729965, 875252904, 859775095, 450382723, 331158782, 362589339, 466816280, 104965991, 1014485455, 929711499, 640699040, 117392605, 1072616500, 19056641, 392946109, 464352873, 992600078, 802160478, 870695621, 218196143, 17918748, 1011700928, 666606078, 33241564, 602075904, 818602373, 356839892, 163923417, 274289584, 788101711, 366146982, 340297927, 1029209173, 293557860, 476656979, 633873078, 296816485, 48836629, 193334260, 214504262, 661918347, 124507323, 811176146, 397656174, 353250505, 393870925, 166272364, 373393449, 429330422, 781188072, 116215535, 344156414, 475053625, 627664486, 690680587, 170388350, 42305887, 538195143, 481231329, 565421082, 88391917, 494665048, 817693639, 88805995, 794285036, 42333083, 75622194, 388949402, 153150454, 82570993, 487846511, 917938336, 833134981, 247711146, 994678063, 946842243, 843617106, 745298989, 872557348, 515049481, 577085212, 212056482, 1064426204, 822093051, 360675160, 273951754, 91072025, 609129782, 427152408, 388699606, 822499484, 812249707, 897831089, 932584462, 504809103, 234860878, 448135639, 596095642, 744726310, 101955632, 1020663594, 746070660, 877922289, 215537350, 578537647, 85732962, 122624162, 54300950, 334031533, 721598765, 784974038, 948037386, 1015504508, 978518138, 863869073, 132376716, 37717969, 247015122, 221396959, 622342075, 255189215, 297263383, 988818497, 807760104, 48665722, 642176489, 63392371, 872812181, 616740647, 470951508, 465493976, 630973677, 796982673, 836932554, 124878271, 211182479, 1034181218, 428300420, 607304635, 362673154, 888201634, 715988360, 615326662, 929307650, 472609344, 203860356, 456498404, 119923215, 628836573, 1001948959, 515146354, 525605939, 560008002, 628414390, 910818548, 402157563, 791875955, 292904388, 577353831, 46725252, 435061504, 58912611, 859266424, 164653137, 401258333, 390742876, 268328006, 173785697, 814315062, 1069382118, 650450458, 489827470, 264747662, 718381409, 158881839, 990886283, 162271214, 796088695, 303134719, 518660440, 589381491, 570254075, 336151967, 34923870, 255388286, 324794146, 757945112, 730725601, 558041152, 137400847, 926296458, 753924120, 117352818, 259151670, 1057562948, 25437286, 1057875824, 908311530, 842310895, 523051246, 341555532, 49515200, 312342226, 639438283, 115284995, 308521788, 329613467, 1022102833, 349076388, 222941596, 385661034, 436868731, 809421411, 403717793, 667413475, 572217619, 849639079, 516504677, 364416125, 399218335, 487778010, 320155233, 341435122, 546747638, 727840216, 799704380, 315337434, 904462338, 437397945, 437032288, 1058138307, 892534747, 825745188, 581070926, 1986848, 823284825, 332443150, 992546892, 352314611, 237015107, 586072409, 357642819, 244693083, 747199522, 86167629, 125427167, 494012103, 740037455, 878336159, 47117841, 416608593, 545513874, 1024437974, 1049899787, 317136784, 951096894, 861739406, 364874523, 628673604, 264447204, 554426287, 375142169, 60623092, 78725278, 333938269, 649419295, 754901907, 263576091, 1031154934, 511202057, 850077717, 926093107, 835689059, 260110406, 358391464, 685142694, 105404248, 663207979, 438563027, 270904096, 712248931, 465973083, 474186803, 936982707, 546030946, 297173367, 988097325, 631193309, 166518413, 229348993, 624453694, 211141166, 256591140, 104196059, 91901744, 316729810, 331160551, 600947061, 108072318, 152409058, 886674910, 268103975, 627678388, 702827099, 573904651, 244825065, 560046753, 481523695, 975587198, 395666805, 640193691, 382626729, 401795566, 516487810, 876592917, 577111438, 883636231, 1018637704, 752208552, 658857958, 787404343, 878104825, 472932050, 389842311, 567166455, 483513951, 251257990, 668114928, 261878133, 763711940, 128264468, 693671041, 501248280, 63245563, 28416256, 811557441, 885322313, 488685954, 1010803954, 817978511, 860892821, 736934511, 226920207, 238135240, 954317548, 1056053019, 323411875, 956483430, 746571768, 361000164, 894970442, 919154773, 972511417, 75535661, 321430119, 1065676452, 359229613, 756002507, 261364117, 1020895457, 451367511, 101039845, 867408375, 82277804, 972508462, 449956137, 701460897, 824784691, 117578391, 953706991, 339264137, 331695083, 960324774, 1027865705, 323129818, 291854994, 451564715, 724432936, 784070003, 486345342, 322669369, 843333414, 954824801, 281857443, 937716250, 156007206, 199937356, 944510577, 10027165, 156038410, 920121074, 769054134, 364261999, 699024100, 315785105, 76707972, 647882836, 717038472, 965205511, 692471033, 624743070, 411666527, 108404259, 267732448, 229996977, 589474781, 560699370, 407388541, 607499552, 46437809, 48475325, 270039863, 839155202, 576849834, 277924083, 507668217, 274786822, 5436523, 415426229, 304833576, 1071317437, 378083820, 647809538, 362875086, 638824457, 401729858, 439476661, 514522255, 181655617, 380888603, 605142854, 718973951, 158025455, 25847463, 181100339, 1033108624, 157188089, 19407529, 806270889, 501791570, 1040969134, 330864720, 673039046, 709660108, 903956169, 951232695, 301137889, 521053026, 788589277, 206794002, 706233287, 35793872, 45947590, 465275455, 257090766, 406899492, 850111836, 993282077, 124939181, 640702025, 730261807, 259949399, 783340596, 15067206, 631857343, 361401843, 369138719, 634605325, 1037802084, 692089273, 357268980, 797934588, 986150876, 381312854, 698775900, 111791768, 149837625, 187254849, 865744969, 512634771, 119132103, 797666454, 593514575, 649098759, 607983936, 73725250, 985612355, 361242339, 496988310, 756591734, 204164066, 793433206, 157911305, 921953340, 512452544, 908193253, 843367357, 869626112, 593934657, 525355191, 479017122, 159023110, 625170204, 996999181, 579924662, 420589639, 344842904, 929494043, 453354046, 864040709, 286411013, 1059707112, 526396417, 92556674, 532360733, 945713076, 590963007, 301183743, 747274880, 476147397, 100465239, 643638289, 166450815, 555823679, 978876745, 257129571, 954514291, 687387382, 461328045, 326462807, 356173158, 649472304, 346101187, 536483768, 764159070, 533558965, 235838765, 840743770, 891604532, 176227165, 460284949, 14265175, 818289293, 79025342, 488659240, 203631213, 100311274, 875766824, 331188190, 696307085, 516297967, 26080278, 535913314, 17528215, 36576371, 286931224, 620018449, 142635670, 790995390, 571694427, 424255519, 1008515909, 450391016, 325806259, 840534538, 195728153, 195432173, 313953299, 518744665, 460787216, 1043688958, 1029700720, 772090184, 408489648, 616663151, 1020837193, 874718219, 403829830, 804459316, 889504744, 1003586020, 112347054, 120394355, 823796642, 269275725, 606038901, 819194925, 1033119050, 346383910, 273391752, 779622832, 745244368, 312977519, 128896389, 854458465, 1043951933, 760527389, 470991778, 737212624, 483944294, 461323306, 782386443, 160168092, 38851300, 529961641, 200584158, 223118179, 243843776, 936681316, 162166263, 722455822, 349885415, 303452347, 969253813, 223139499, 724655893, 135143926, 351532552, 28712021, 883062324, 636674644, 203636785, 21527166, 844006040, 113186906, 695390088, 348327793, 142872583, 95997392, 451691170, 798625944, 1053205275, 656345326, 770297311, 827985228, 522737114, 503683016, 919169918, 878863105, 550651569, 194914510, 254285815, 504612230, 229740945, 1006210158, 849106871, 81775124, 836830730, 850137205, 121355415, 381276516, 631729627, 932291605, 745977870, 269804397, 294865838, 299004894, 570775865, 428498685, 536745740, 52348836, 994004173, 932275616, 201192134, 513772536, 805759231, 55450971, 177575919, 137015614, 41574614, 684450090, 663050433, 199193064, 797984024, 438200184, 609930250, 722139365, 462547252, 936122718, 176836596, 901336371, 143464302, 141274618, 843716617, 316290558, 153968813, 831800728, 531930416, 575546470, 130857881, 142347293, 805090132, 511839647, 51393271, 262130001, 497131359, 29403770, 738711267, 277175995, 262456177, 312515654, 804762362, 318488235, 708571423, 644696725, 30060404, 403460384, 664385670, 489722486, 950776690, 806507680, 668115801, 781718106, 921971922, 526282054, 658104529, 521740845, 608140727, 654557779, 755746586, 264285497, 755564894, 592034124, 547200531, 1047102643, 656037137, 996708472, 1051919926, 461135266, 694135089, 777538315, 232230145, 659406892, 812312896, 1008202449, 169373933, 1029551155, 653562463, 341348761, 924223258, 350130259, 178512032, 436263129, 834801183, 744656501, 932302674, 879826702, 745260619, 978577565, 283103511, 969006927, 887093167, 792393544, 185534393, 505988724, 10006412, 98483983, 832423342, 454067785, 315724832, 1052619732, 428557840, 575756365, 986958780, 405380056, 898772693, 910132351, 311402300, 715687942, 833212952, 914310705, 29914794, 91908491, 972873216, 866359131, 155817953, 1036623037, 220170096, 225992416, 9521011, 668536103, 834908022, 940143751, 832835020, 636780327, 971711585, 898914084, 680478618, 333226316, 493461321, 520701543, 1012712496, 813158645, 893918477, 223819520, 978818350, 723181306, 388502081, 25671729, 365999199, 963544620, 890869485, 465207125, 1072360171, 1067167501, 789426631, 1025140347, 246181076, 965270184, 45755798, 915740048, 591744071, 738187253, 934609259, 514814898, 2878764, 387642529, 98328466, 126435786, 963941832, 403656706, 627647177, 153377621, 814301382, 176206204, 877684788, 11940177, 202684510, 26595268, 790859391, 796816747, 663874793, 971258388, 747914580, 918738705, 906043185, 512030702, 403535008, 687025961, 392070404, 1008584263, 584552784, 6773344, 794816815, 90284900, 159437411, 319323417, 453851117, 585152674, 806410648, 380921634, 221307387, 1057164405, 534204772, 946976797, 839850798, 728035541, 127657819, 388797988, 1018409661, 802538119, 868037752, 213703313, 55098220, 376972829, 784427175, 533027582, 1038670915, 669933519, 835637666, 124183594, 274010113, 548457707, 902641880, 373780017, 410984883, 185577832, 392628772, 982192471, 364286562, 534873076, 173874023, 638396875, 1045155876, 802402007, 498004473, 787285594, 488285761, 995017716, 699218667, 742142300, 313413961, 275167039, 122489651, 496157928, 63914426, 557111318, 768823942, 283482487, 981512844, 298103463, 270925371, 22500616, 480776410, 318694682, 192745552, 972382297, 967962827, 12879314, 707789456, 1061984201, 336129677, 213096471, 571169551, 608623667, 997955237, 23462446, 282080386, 650001080, 68508096, 859109087, 511506261, 49702314, 1024345233, 906099699, 930411009, 934488961, 873940994, 264609640, 1055904723, 938639544, 995688283, 625016279, 951773879, 1005223189, 749865947, 757434234, 422206093, 22331668, 80120928, 128433835, 297229421, 61558943, 914330232, 284753311, 768297031, 305439037, 539685258, 591128005, 30224387, 1025200618, 1011120978, 259570689, 278110343, 703657107, 471609603, 585487616, 841602358, 974449831, 787957064, 525359803, 370549581, 258638462, 389072412, 824033190, 178899021, 79562244, 489886885, 169541618, 711010507, 101582501, 316013033, 67128356, 803773322, 19745427, 461420956, 92187617, 966854033, 908771580, 369612814, 81368611, 713344572, 200147561, 571479549, 602682290, 249850962, 259746469, 990497389, 295273, 575325954, 149974335, 694431171, 257014343, 1003891818, 217707486, 862904392, 179732501, 842973573, 643447451, 606858933, 933409834, 619516264, 423922030, 341218088, 32036425, 1030140694, 392750358, 755569915, 959257360, 746890138, 769026382, 576383578, 881669736, 627032952, 441597898, 27617716, 354147638, 548352417, 160902308, 959373623, 764143832, 519963790, 1011090292, 1041337657, 643879549, 663466639, 191112970, 156472117, 215763901, 30479675, 82080080, 775630257, 48895382, 116526202, 143709410, 142877023, 295746246, 975283738, 957873241, 327509385, 538712171, 460537619, 170020096, 151286375, 772479197, 353318683, 700278148, 833342997, 124987706, 548421150, 233883424, 912415629, 118562816, 196496864, 212269035, 289519386, 238540666, 574425243, 226700417, 426399934, 214941212, 72740069, 638908675, 925384691, 431645140, 472444769, 81752851, 1022629521, 899144817, 728390722, 774711439, 187780703, 985734223, 731225042, 323747303, 946460725, 257657767, 1052722190, 696713714, 1039644458, 416274250, 76079107, 445134679, 253260679, 863912871, 669791915, 1005802779, 235694703, 124192004, 411181594, 458409633, 264242218, 389402977, 822664857, 118630375, 414122573, 273093694, 454913458, 809863914, 363770086, 282334060, 627697404, 711644323, 812449167, 469922688, 383363179, 952058997, 267587208, 492686122, 567103752, 1051645056, 696413835, 716314821, 808114081, 798999877, 898200848, 714990570, 841769824, 115243418, 606620367, 349220768, 713183697, 817720805, 935258198, 949588922, 958131708, 124993169, 812231277, 257175188, 19011172, 964013757, 831968498, 126439546, 44406093, 759194973, 867565371, 969676350, 259708378, 838203366, 29270449, 217725250, 992262120, 137414726, 18612454, 979175749, 62472398, 239163651, 836188762, 134938375, 193832394, 272746733, 655438556, 840414021, 762221024, 368773338, 113178542, 331389602, 611253997, 1006722957, 205840961, 789661201, 258345219, 184286794, 1067556020, 623874384, 711472949, 734308505, 353628322, 515844044, 916256107, 222437279, 677124502, 360582822, 959224377, 874269436, 893191652, 78587909, 761471481, 457841846, 458857106, 297267358, 719481449, 708888356, 710727635, 874503483, 379323274, 1068654828, 630706456, 998199158, 306265970, 547540659, 579153056, 367316078, 233647215, 741791475, 707719607, 1018208087, 417551040, 817910846, 489330972, 157512701, 606006620, 376151658, 344976802, 398019311, 147526007, 565381722, 925115968, 1067963991, 1072941534, 327549694, 666899268, 552479147, 71725375, 502732619, 883126756, 582591006, 43956690, 1041915426, 715548929, 739365769, 955438338, 798936794, 748868444, 514789602, 513484462, 975817182, 235678137, 897283570, 20021419, 839143000, 463636221, 74997721, 133345147, 70951939, 700857009, 1427027, 86640200, 266737389, 78922333, 742543539, 711569884, 710518630, 717555058, 850359842, 276881356, 194575334, 311611592, 549310384, 28831827, 102019060, 973519896, 592908361, 436538849, 913253299, 280107619, 259044488, 280697560, 641792317, 894351694, 718809412, 170198725, 187561543, 216495685, 568515762, 333381596, 803307318, 330208084, 456519677, 763140480, 65933882, 285092775, 1042782072, 492755655, 964720436, 589661068, 95390697, 869862110, 267179895, 509449389, 828315851, 411114144, 575881419, 48328489, 195188823, 775010243, 371247489, 401859799, 941522573, 1066358262, 879332055, 229465640, 8361858, 427414314, 750470851, 235374079, 712844131, 196345100, 465322914, 683427327, 808935430, 269654298, 657322968, 926013162, 147024289, 630501802, 41277081, 177702322, 377108325, 331419965, 737957964, 604211591, 1040151182, 941296572, 709476391, 837316485, 455885199, 512529158, 493263294, 358368985, 244331755, 426995612, 1048874772, 900535715, 254830492, 283689733, 1051928780, 707767055, 615498970, 193735442, 883629153, 532403708, 812724727, 201196806, 393534166, 1016231543, 76845962, 35032524, 612848976, 843753258, 782818261, 828166417, 498538225, 1006178691, 477354522, 179031226, 770308768, 945038317, 308326183, 704586551, 130744872, 585486376, 860479864, 803172997, 531558210, 689634761, 355692694, 183352403, 184346468, 121894646, 977337008, 355056156, 990137831, 1034723767, 456355875, 755580748, 454778331, 289205048, 583258388, 979172834, 654804697, 443995019, 295542433, 588486301, 86286843, 32128379, 860252579, 491018363, 845465939, 489475646, 640538340, 165534749, 432780620, 749805017, 826142888, 733251273, 504095490, 131950424, 913784975, 375314023, 639999619, 268507801, 293906344, 773090641, 288633098, 530503547, 1012913369, 299049184, 998525275, 181170327, 436113910, 477944924, 218077589, 644902783, 828255849, 749441215, 36658487, 275397531, 1015262247, 513014515, 812159468, 212888803, 119991066, 184845097, 839855969, 198084068, 862192189, 907733106, 931353600, 493936301, 49623868, 78809180, 567486493, 184367085, 750306127, 367462023, 569038766, 865180520, 506119824, 887552931, 371645504, 694504054, 2251901, 1005171136, 700187415, 40422681, 4943553, 800634806, 845647901, 470389218, 320120939, 188014533, 112709177, 730011524, 879244261, 29845114, 67273858, 1041624602, 292140418, 219605585, 760340715, 66328503, 539267931, 826426993, 944645216, 865372125, 703665398, 828168391, 143659552, 1057841328, 943711466, 286316312, 14537029, 631488476, 838190052, 369429998, 1057625294, 1029709307, 782840236, 714367389, 110357871, 771566338, 355014838, 963377866, 259434299, 951571155, 828413476, 976940481, 756612118, 57620647, 1054846356, 338907788, 783245907, 372671137, 1040562556, 864651584, 619888710, 853873706, 317348899, 153146164, 826915615, 655395921, 145688644, 677582099, 896841465, 935906220, 724673061, 862261500, 868105601, 963923753, 937520005, 400577202, 295212069, 1053453326, 997368481, 515898186, 824406877, 845577230, 372859034, 607234608, 32410332, 113917576, 122517096, 25748545, 51560056, 823146607, 874764283, 149928331, 667104997, 566558230, 966463170, 957626439, 284191723, 1063542121, 785802714, 823612027, 417303939, 390949714, 364242737, 524812497, 281535618, 766577286, 358017355, 812101928, 203647222, 323087253, 717869233, 845726417, 1000581925, 393562077, 210788703, 324852217, 766478710, 297712075, 335736357, 124481773, 574914085, 408661815, 538274489, 662184327, 295568975, 126425711, 691710079, 247169865, 799221259, 516767293, 1046573005, 673692485, 529305021, 511635733, 345287141, 142722808, 989356852, 689961257, 871590132, 946556932, 942051191, 35349028, 264702807, 828788659, 72030783, 225271127, 1014863941, 556154891, 675895783, 453467316, 746315699, 959846858, 196547667, 775227317, 1058515102, 1035152237, 497188848, 300806044, 275970614, 77893469, 955988820, 215928554, 345176651, 134464699, 308410112, 583554186, 628870703, 660713230, 198091801, 46879564, 700400832, 153433642, 977059908, 361085358, 447475716, 486129068, 404667437, 60248876, 864052146, 19836924, 1022283687, 426039780, 972319478, 1021012586, 546289709, 1037423897, 596763775, 699806890, 595584819, 52297657, 258706799, 767891425, 484350801, 501894531, 340786491, 575917744, 623364085, 641182428, 959131917, 451340385, 436999641, 112310257, 175016610, 406661003, 993544974, 260912802, 923933040, 25481771, 42932833, 791310037, 293269993, 550453478, 100383278, 286664658, 621193516, 941142439, 823818673, 634181736, 34327981, 1040314972, 633210598, 896844195, 443124414, 245913798, 569997531, 70077324, 527160048, 671185751, 208544302, 379363575, 49782709, 531495302, 738963624, 81291585, 912162055, 612175813, 360250118, 726475664, 305693985, 739302844, 237690832, 423745285, 959425366, 1024081956, 573364737, 630086335, 630247714, 636289200, 589572087, 275096198, 778725581, 491631373, 739564692, 324850540, 393519785, 23282807, 318391801, 109492785, 474166041, 468495045, 625851766, 1025874121, 152410662, 238253289, 146294914, 313046939, 30947448, 701573980, 435265, 271904146, 540923520, 559490018, 242235269, 837081173, 284662195, 705657766, 293411015, 473159330, 772838300, 222930023, 28545920, 1061701295, 519935219, 696677278, 64029778, 490565103, 301396704, 528076842, 308815733, 740967057, 756061851, 819667499, 882498693, 706782983, 292421694, 7451883, 611162712, 861144233, 904590233, 19276216, 599843450, 432232727, 62160997, 266565492, 784571934, 628926507, 981088558, 1000298279, 15581147, 230999323, 598908537, 1054838503, 916922338, 726470969, 235272870, 572730753, 295705555, 403631888, 201873402, 444499534, 718749595, 623769284, 516451453, 780841231, 812713087, 862199930, 914211126, 1018921007, 677245677, 814246303, 134209137, 767838413, 388645130, 543918705, 315287681, 491725179, 375676115, 220853925, 937284941, 177643740, 244384547, 292203409, 748028398, 654720307, 379515892, 814532428, 301096899, 977235309, 351606322, 499332195, 233800208, 1037860064, 429020832, 344208179, 87393698, 578878724, 302749373, 294593051, 103718492, 920549815, 169001468, 826499935, 1044626942, 812359408, 549528755, 162911100, 653743306, 727453349, 756832796, 793235217, 626884280, 857265828, 856521792, 679195607, 256653726, 520966655, 423876402, 858594255, 437488231, 1030277600, 950621632, 351483743, 578260391, 709917580, 343463690, 721722972, 323838172, 907134299, 593770255, 833831974, 710526171, 543911009, 748048799, 716127166, 466689920, 703234072, 975810811, 650966837, 207269421, 761079503, 58466250, 271803427, 1002726369, 57776590, 770410107, 48626863, 825569023, 629285364, 986328278, 555419807, 341524747, 491474329, 175934492, 163948541, 868606193, 178164046, 469817898, 139035946, 1031305290, 427205165, 453096381, 18475030, 19445132, 686967146, 657000996, 86486580, 861751343, 780748320, 713859795, 50319680, 567073041, 205573583, 568251256, 817896103, 341855471, 420395130, 568001364, 921401153, 325640838, 308022299, 348915763, 561228672, 414939591, 1011595995, 841944404, 932737520, 166053507, 232244365, 91917119, 952170208, 623816576, 422827312, 1009939142, 200704843, 520047529, 54059347, 597618297, 1066956443, 29273985, 1041536985, 220242295, 506781374, 673337142, 537097957, 737505765, 895341490, 608034937, 512568761, 246733407, 1013079292, 733317819, 664083481, 398079842, 176608676, 127863716, 518990907, 1068551301, 867425818, 229173018, 380023384, 246726461, 788004225, 635260589, 838666991, 134747428, 182668810, 683022974, 254924019, 584166202, 1051800331, 790790617, 341869859, 332138964, 145321714, 69715397, 894244674, 553609912, 409735186, 1037200496, 669238000, 711999519, 542053225, 1046501901, 1053722989, 994293288, 472709975, 685143653, 953558655, 498125295, 940274213, 1004889629, 331336855, 996895130, 118760895, 394464633, 477688141, 983868196, 306005784, 61897914, 798609574, 992644531, 749537207, 267224910, 138945431, 117443269, 242365504, 359170220, 621281752, 706078233, 86439533, 979049090, 750334944, 458485404, 153522402, 311705024, 89209852, 29080784, 388741195, 339577592, 449082873, 654289348, 131133991, 238409508, 538814694, 976327335, 169011765, 878438578, 689105698, 337429169, 263245929, 345308399, 145030931, 151838362, 447768322, 920470042, 800482716, 593524115, 986567725, 615705950, 778202185, 738223872, 991197816, 19151370, 815390870, 1065585648, 983089374, 433798019, 843022306, 702788258, 305113001, 698541689, 1064780219, 966626476, 45088814, 298384946, 118490000, 964200912, 967448896, 312572982, 328132346, 859942452, 763316063, 857673087, 489870619, 839770923, 724878910, 376782137, 958737023, 326919181, 899228509, 926925526, 88346434, 176151702, 2087440, 964859944, 585040916, 315497059, 510520217, 494459069, 859743747, 627430232, 753855265, 535600864, 133188544, 720814968, 505378598, 729560971, 137636128, 532544145, 338701701, 795434740, 1028894096, 358675528, 426040241, 508389907, 306070668, 94032400, 760422811, 497867925, 845254564, 813200238, 934897021, 140208096, 201591166, 239679504, 802015799, 163563521, 242173350, 271091000, 220298334, 489500075, 827663692, 899632498, 1034379675, 439093668, 183479134, 968797330, 532986925, 915016931, 432424982, 288259327, 751234899, 459668279, 809863315, 70152097, 992887561, 413264943, 24839290, 344461788, 453950624, 141848120, 876827937, 59565178, 984181172, 966141267, 909776370, 664488174, 1026849585, 715476122, 536823842, 42442147, 475740868, 589774700, 485158426, 492898600, 693750518, 301638558, 30440278, 280731070, 607834731, 864752010, 529418639, 314438424, 399585889, 817097010, 362406373, 392722070, 397778776, 1014227227, 429396694, 89844690, 708130100, 223817721, 135321208, 607043686, 368664437, 711891602, 305906724, 274557935, 123549420, 421055575, 332401099, 772117212, 888498893, 818948695, 627461043, 913134821, 458523945, 313680197, 713663361, 128662359, 978717773, 732142081, 174275305, 604934658, 836581464, 215349752, 988273189, 256312825, 63349609, 921998978, 89138921, 586256420, 576357898, 1036170565, 307174146, 1056358144, 19798319, 900995320, 834499754, 252337169, 732226720, 155594228, 552481765, 161638757, 623766356, 972664273, 170298779, 325338299, 434725352, 842824229, 1031721725, 749685737, 29929230, 292695640, 502128019, 818992678, 941765852, 244514593, 1065024962, 996855374, 924847527, 488318756, 229188821, 418523279, 487341162, 433473797, 996260593, 506032340, 949040872, 1033771070, 375837243, 749794059, 722876622, 425904585, 543309332, 283120637, 97997950, 257617351, 79221579, 311705170, 166920030, 707740060, 715883309, 647197395, 830277507, 613410494, 629432007, 165631593, 406993736, 456112496, 674829759, 87423828, 960589152, 1045481260, 679319860, 347818661, 194571298, 247987330, 975331176, 1028756688, 228410399, 181530782, 318471184, 632228970, 581198571, 749674349, 656184495, 424624356, 701330975, 470603853, 536677994, 930598367, 602697817, 217923821, 1043686945, 726926019, 882562403, 749156467, 645441821, 445363417, 455464665, 86774116, 20857154, 243324130, 727910796, 903412846, 793543800, 378173611, 767122090, 333841927, 283811850, 356110847, 948905710, 561102036, 87781069, 930472164, 75132848, 349342973, 952075228, 531771008, 713377873, 984648299, 817478627, 388553473, 463101505, 267699120, 800133177, 913026011, 598144444, 812269546, 110156332, 698189989, 738314515, 401929912, 34647636, 694279693, 1012493981, 678191717, 297555164, 798240279, 771666859, 421990681, 726743496, 132616080, 219752682, 1017850584, 256559214, 370702881, 349426706, 823417466, 574644787, 611085200, 729160426, 428478906, 164058328, 21587584, 380525166, 606964509, 486402864, 100679803, 184356099, 128993460, 192747944, 440825274, 363080117, 529204676, 158254614, 3470281, 933073045, 992272779, 144914696, 698879514, 671145502, 51177673, 983759168, 256584704, 931233041, 219494834, 563257113, 1057135254, 527165074, 745198164, 673828975, 640042217, 155171558, 622207153, 113240611, 972598860, 74819243, 169232437, 1007874577, 156696932, 916853800, 744551492, 1055291944, 762495134, 843978731, 517735155, 732166996, 669778758, 381996488, 22893735, 749172078, 659353714, 147287892, 226481556, 229866141, 996553687, 74094605, 997954693, 497807954, 109567954, 842199111, 403859961, 1055535860, 843039376, 650482628, 277910287, 228326879, 258325956, 876610815, 104136430, 793771012, 1022517426, 372878007, 1072179921, 589383455, 581091369, 294708369, 1001605365, 329441735, 392664765, 415008106, 1028289827, 128438783, 787633743, 680501028, 387785848, 458417177, 1012550677, 921373148, 419635038, 187743856, 350468852, 1039189308, 270975862, 811865191, 56631120, 848071354, 182538184, 206932796, 262661274, 1449120, 751969877, 789253806, 895799546, 622991664, 152547190, 153950613, 227817905, 106852898, 405085987, 829310839, 333655873, 812415979, 876804243, 559887726, 912816016, 761676236, 440097982, 1045684790, 443217483, 360380020, 89566185, 432108483, 43981272, 816258621, 79294370, 771137592, 80336694, 314018593, 942096595, 714535171, 106037299, 115572798, 714003945, 971598048, 865001915, 408326173, 620856520, 662595222, 42505482, 605442375, 127249398, 640394546, 45746236, 124493269, 342094247, 227731313, 998084515, 816233800, 221968838, 670506511, 550141779, 363375201, 290920302, 573450557, 900951, 628064897, 757347611, 586444255, 210338429, 831288672, 1000813206, 884548654, 1064839514, 962775613, 1040487003, 575126363, 963828234, 149790707, 298837094, 934600502, 134851345, 863745461, 193890750, 999537264, 409407753, 257942719, 722404793, 908657597, 858754904, 681785691, 239831581, 260898636, 251598937, 1052849861, 848389989, 257077674, 814738818, 229489111, 698218725, 1035817383, 88075326, 1041340596, 96544091, 408341747, 308732935, 680453102, 278097228, 296066798, 514145903, 87939375, 697903748, 269371192, 687741477, 661336104, 440641573, 461949744, 1067284725, 496213010, 846385461, 1030759305, 683575830, 514512858, 851229334, 448514042, 899863546, 889480069, 563351031, 548031842, 1032679065, 329649322, 149945628, 152223790, 699752725, 497088474, 646957048, 487227016, 798895203, 92686274, 650795805, 275046148, 872062778, 555238581, 59848979, 816464400, 135767482, 893832804, 1044677111, 369369603, 749154772, 755775890, 556687033, 76022896, 17667771, 1001448081, 901272187, 395904502, 494731279, 623621110, 676263131, 859590981, 653103774, 1063230948, 853526472, 1017645531, 303027295, 322227005, 656387234, 809046044, 258913886, 262651250, 42237326, 193702639, 807532843, 597948178, 447791389, 612907208, 698707565, 119776315, 583126009, 805155154, 671416605, 822510418, 1004368997, 883292283, 1037868156, 733154522, 387360965, 405147684, 362749881, 487892992, 851069771, 825155668, 622594622, 1057548767, 206446959, 485473301, 867536755, 409350045, 375571339, 765095658, 457137652, 720707770, 672870529, 202473095, 883762912, 964625264, 268460074, 486552513, 638001073, 872970007, 742372737, 985232242, 452931424, 216834484, 776434623, 715421797, 391801594, 567543037, 448147669, 871150053, 22171419, 368184500, 981162816, 509804512, 382534969, 846569782, 610567213, 755583843, 338160572, 702871810, 657841594, 1059038165, 1068345139, 133573357, 949763175, 430966394, 43900216, 302791758, 511554237, 784244384, 3518823, 364224175, 741248077, 871594554, 656892986, 26890385, 959579455, 437709853, 60332661, 178234170, 674660669, 698696275, 129700914, 808334963, 776274969, 148761698, 138507690, 627047570, 164098216, 379841425, 147366913, 101626158, 148380146, 991274164, 502344826, 277669241, 127187146, 915579785, 618440485, 405149337, 376468816, 927616702, 239420216, 879620241, 1050165172, 596928525, 317651008, 26877898, 550841968, 1024940644, 958603121, 898112320, 397238915, 1010140710, 177435238, 946934267, 878304813, 994035524, 452047345, 42752789, 196451146, 686115318, 272875592, 300039057, 273557661, 722748242, 984370233, 796872287, 359668045, 839135961, 863437981, 213429340, 542170967, 688206677, 616952551, 887919132, 521304086, 171584523, 427003709, 605921711, 253632356, 169624311, 788808983, 222669227, 587774319, 377400510, 536861619, 25389031, 99300654, 1069374770, 659357999, 168101879, 44360119, 66295181, 420087685, 395533036, 608202612, 233015990, 1048840519, 382677958, 71066049, 808969182, 648283372, 355643698, 125604617, 470712783, 596541242, 986527640, 355536119, 131280154, 579538911, 432473672, 484699238, 47602740, 646786656, 244541185, 85031436, 903398384, 268401412, 408863335, 861735714, 35406730, 780037115, 679961612, 313085958, 614885794, 24728139, 465117887, 674126330, 1008603799, 402034736, 24835592, 73556548, 1039666499, 962461087, 818923676, 691935522, 980344879, 303390839, 551759435, 220595286, 542330432, 760329184, 299264670, 953753158, 962740971, 542244458, 906936623, 441753087, 207511181, 855552502, 504320672, 136449621, 971216880, 855113523, 158490889, 1046152137, 1066350541, 350426279, 868583721, 907873830, 318908065, 3677586, 523007820, 462437873, 534551434, 466137410, 810819331, 668792379, 130011957, 956331396, 239247572, 844543503, 942771582, 423899977, 1011147576, 359762660, 911105388, 731895682, 877640289, 372871475, 472457577, 610111282, 622560049, 560077892, 954390154, 586771089, 662612129, 709865869, 960873780, 738198511, 405772478, 260033194, 686346383, 834554584, 470375639, 324435470, 272332379, 486282083, 419112251, 435940166, 146699538, 256324359, 269982337, 291754032, 410140647, 360526930, 128068134, 341849450, 155620713, 45024911, 918108116, 807695789, 225996349, 483016323, 816931954, 136832117, 936569335, 994687356, 187823899, 798964409, 221512, 1042799430, 317060145, 238562351, 1057434762, 579022788, 816331865, 356192662, 770908246, 45586066, 1018141739, 861790046, 350946482, 154317688, 503339096, 641409930, 788169583, 481042350, 398806557, 858408237, 1044725450, 364313885, 570583558, 899077452, 955531729, 466523652, 631218382, 81933354, 300320119, 1013861116, 202011089, 649047839, 918439844, 945497244, 1073264976, 447045994, 110805422, 346160175, 286484055, 896368820, 282267835, 646995995, 385106557, 476295087, 1023037117, 907150959, 1000412162, 720315669, 169069980, 102598152, 866512086, 339730736, 486135401, 1009038266, 753006947, 150353374, 624925151, 578601408, 1047893143, 1073449831, 662821816, 48969402, 568444123, 943938520, 748235869, 337079117, 314385008, 133459279, 74496368, 275750585, 944100808, 365521435, 588845102, 379947664, 212053591, 87252586, 563968200, 957482063, 589024623, 739725168, 553648466, 692665981, 349026342, 437475736, 413845977, 919626321, 549103886, 453632685, 811352515, 68748003, 534573811, 1048134008, 949875554, 476381212, 570491593, 776022218, 954151038, 829841080, 17808435, 598654347, 89697072, 949202030, 367432068, 446234742, 970063713, 372098227, 440358169, 1052579512, 339982922, 187938969, 590596060, 180604938, 801625794, 369522817, 806226154, 304980269, 848789316, 470638007, 245439336, 27696578, 642219962, 404362684, 883267124, 317127545, 104889625, 978251030, 760883453, 283927413, 72844621, 481642076, 338378850, 73278156, 430208515, 736410305, 270441363, 705812956, 5199189, 706228529, 1052217462, 758803691, 563731654, 30551260, 185671069, 619313814, 539319127, 1020947148, 819438161, 127286965, 989479966, 399649928, 337693140, 536719223, 448859877, 897191485, 454081937, 357297208, 554792497, 662504965, 87445471, 754557252, 483011997, 125835349, 392361996, 252638703, 915405566, 1023083183, 910845722, 204990414, 281536225, 747782331, 786073851, 523071738, 195817790, 1013629563, 512586622, 466852848, 38909146, 876191237, 389043498, 453424861, 552911698, 58760546, 374462208, 201553517, 480554630, 456708710, 947289793, 245120599, 1010175883, 1022451247, 1021758951, 35871927, 716191431, 502602927, 324707067, 707596083, 38685102, 605713497, 91658307, 919095671, 489000517, 387685014, 646513449, 587710224, 380448557, 630485377, 145122964, 1032035570, 847105484, 1000624103, 83801343, 596013581, 726274993, 897401371, 67464927, 869929445, 946472793, 417807393, 683376125, 322316314, 671500691, 242947080, 878023013, 919036985, 699031304, 391411422, 44133015, 42239596, 141007969, 696844868, 56064723, 749568270, 318452883, 615479690, 154979682, 371964747, 123950856, 6938693, 539315523, 144352847, 120505181, 40060339, 923655424, 328926214, 199898573, 906593722, 559984556, 699106206, 935927669, 527706987, 114296564, 803432255, 285998118, 790093806, 550734556, 1057105229, 134716100, 1035253918, 234409844, 1040766259, 259873172, 811584742, 576170554, 640887697, 418518258, 975910675, 142227013, 828922989, 1021452376, 28011818, 861679404, 625680668, 357129476, 250705755, 505235858, 1010987363, 607591940, 522603061, 878377707, 514457339, 599717219, 113540918, 85865089, 327648384, 309003998, 766213805, 765722494, 550617506, 356001976, 467918298, 933695995, 35699306, 900001076, 439858311, 1018565657, 36123420, 796699732, 1004341810, 1049383196, 98415043, 1047481783, 539030455, 912670095, 809378640, 841718872, 619233207, 997279981, 1017741637, 222157663, 628490414, 723967931, 363300820, 916201215, 54311718, 11566725, 551130313, 216719949, 332427110, 161927856, 413895737, 952727017, 47621959, 6480947, 729793856, 892421445, 501038912, 411718361, 363557563, 148852581, 406410163, 394127911, 879910322, 330755123, 98015024, 151460148, 235512540, 1042852336, 105057108, 1001663404, 1008612625, 79610790, 486608521, 717027650, 597525230, 377958121, 94581922, 321312895, 739416440, 908548464, 906937485, 1023890074, 780324369, 897565444, 747771168, 995093588, 131308798, 739579388, 836100320, 858766921, 769301434, 664721341, 832316904, 5858682, 817263611, 800902516, 405472657, 537082767, 963127057, 265784267, 366877419, 413873796, 3579818, 723382417, 168956224, 275897854, 751189743, 448230938, 140078604, 869638815, 91956561, 551752955, 561983863, 54744305, 338705786, 699738304, 7708980, 160149258, 498545963, 36177869, 994884309, 383287525, 146614244, 185567637, 841426447, 1053609979, 112717015, 894374391, 758490471, 708363293, 278869612, 74625195, 365596355, 103224219, 1053268628, 747138063, 913373533, 435700977, 145329897, 1067254323, 632201019, 82480068, 1052918312, 254186231, 597549346, 727282854, 923503966, 485096257, 675709167, 928124369, 810588683, 674451401, 272720541, 940512038, 212554881, 818433197, 496196393, 293350873, 24842091, 372367750, 643604376, 468783243, 959130700, 86991315, 54842446, 308363954, 240596581, 201892470, 536211442, 83961424, 523995584, 459160547, 497353755, 748643357, 135460222, 516576498, 884202732, 513375855, 924100596, 11647450, 504404098, 306194809, 461201420, 825867075, 224683525, 290686790, 797418983, 68599515, 236178054, 522601283, 687469529, 345501338, 1049828887, 684234236, 204512429, 386030455, 327883945, 366836508, 795845514, 792024877, 890274123, 214786033, 1045014939, 809934814, 1018813083, 956452063, 902917305, 788037172, 561281985, 306654267, 748891201, 807156664, 651684748, 236109315, 146783171, 384277294, 239828911, 574665835, 580265173, 328624739, 33613158, 1055681139, 382328100, 765089551, 744649281, 435516052, 526729216, 974355853, 667159789, 13592689, 999759191, 973269678, 614227267, 946841536, 848768339, 494145312, 293468765, 130425999, 708218805, 654049729, 1007018615, 318755041, 256806765, 105849182, 557917735, 882088551, 763327287, 775326824, 262295558, 30793181, 28137935, 979019097, 795064285, 797533563, 520048746, 949352204, 1033935579, 4150678, 411761281, 661226933, 485014196, 558100455, 771784684, 528829897, 232971933, 675962028, 967544430, 944712904, 795611195, 877604600, 996627028, 403999631, 489854085, 236387609, 12309238, 1000008603, 328538191, 372911205, 657967847, 700090025, 189738775, 321223556, 57430626, 816326178, 202801576, 895837916, 199421032, 491286445, 476164151, 491210192, 572589745, 246750105, 623982673, 597736401, 1038703945, 298967841, 11352322, 916579460, 708900102, 560396169, 612295458, 380193429, 618588975, 175045460, 347555800, 285587304, 668989071, 913210405, 273406541, 508484637, 242431092, 964494005, 151831043, 55453671, 848706564, 37308275, 124043987, 849820332, 833116635, 589022124, 383504443, 179437324, 907691876, 822584149, 884676411, 1019345778, 23685783, 742579639, 298072896, 140183062, 381946115, 994511306, 457716794, 105377689, 949550305, 311727128, 219316199, 765852517, 813649658, 391032727, 448088439, 724366718, 180431047, 1048512990, 652852364, 470051004, 50141294, 473464945, 644161366, 744186186, 383791777, 123652758, 1047631045, 238238427, 581840850, 1072566794, 136284849, 522549562, 463324280, 470241401, 488214252, 147466898, 854883745, 743224867, 443461499, 520398030, 660800671, 876484240, 257712623, 694865258, 197081701, 966418644, 759572614, 626942068, 835770732, 878931719, 479257134, 54573680, 772138986, 499473364, 823419074, 972390733, 227804116, 136601488, 1013681521, 748509221, 499098105, 621420833, 992317133, 137375696, 416242568, 189366197, 68179109, 890986419, 1026470749, 553027792, 866813839, 155612094, 76067887, 933270526, 641433551, 870627087, 371829785, 286251380, 673555808, 1045847323, 593949962, 901998418, 191332774, 348232572, 910354546, 801478721, 773640733, 1039327831, 939690013, 584833349, 467473171, 458352722, 876717410, 995254598, 829583452, 415960681, 1033184920, 964339261, 316474862, 940608323, 722545352, 156560506, 484184077, 123541340, 544189548, 914077895, 851042144, 362092869, 989258074, 764713851, 541258567, 247036455, 107134259, 693639, 460876484, 124633997, 771520776, 615743422, 284202431, 447601304, 639133168, 689967555, 200827523, 79872317, 618282704, 137147915, 507880491, 594216529, 585792073, 160596494, 238582250, 649659459, 429366589, 417965033, 353500901, 811328040, 16960633, 298444869, 604589306, 783547672, 574575135, 501115326, 292615526, 595689364, 888633139, 765091399, 619747163, 1012730820, 396870716, 151162079, 525483131, 644719656, 924996076, 904422235, 659619522, 503529571, 1057400100, 627920276, 1008458692, 463077462, 939115545, 807608896, 563883774, 818617548, 904318718, 979113769, 341921142, 540252596, 598881943, 801268919, 319372964, 1033167957, 977963972, 604026389, 478544864, 955097986, 1041079800, 1000604774, 991413396, 88770090, 365474020, 738246644, 620438042, 285788015, 498379380, 358030557, 277880442, 744741741, 616145416, 644846955, 610759039, 758900705, 947435575, 691039040, 338973946, 451587668, 809341903, 555955623, 116969388, 662225540, 884213730, 934056954, 302335796, 872830390, 933774919, 815895391, 766076335, 598256438, 602339883, 4367856, 396270743, 26586260, 567160005, 913318012, 352532408, 440899359, 209809472, 298638536, 190126861, 617747195, 177921760, 1035715872, 878128461, 1060288849, 940089564, 612297896, 201772893, 873264132, 388776262, 439111012, 1005743453, 694196188, 789652824, 905088047, 817379098, 951125150, 490900956, 913898339, 869953824, 577557048, 967349625, 506080830, 68655448, 658333434, 961560277, 879417002, 543874931, 622431670, 686976871, 1007540842, 927664, 608061207, 71072161, 150772223, 969539489, 826862166, 766670548, 213049245, 741698000, 913909977, 569259080, 1040586680, 865268861, 683277382, 821041090, 556059318, 392284908, 296720405, 734391858, 480090595, 319803037, 850308347, 767076553, 381362839, 494454021, 942158320, 706546030, 933200596, 731798616, 26635093, 360317379, 760835534, 728361343, 769942384, 867080515, 597682918, 824004005, 515468774, 649921957, 160371352, 223833386, 747841651, 1024845845, 771481337, 690737105, 6720737, 530120837, 212592320, 727745660, 158585802, 708974513, 104742553, 560514901, 397325816, 581464604, 86309307, 319583574, 263704302, 475254959, 388094733, 950562569, 83216974, 902605351, 159830872, 119864478, 912047590, 269992886, 640284212, 895821236, 506832511, 858070793, 180959356, 540527056, 410198296, 330548244, 344809241, 459782057, 383760697, 1037940139, 375946523, 465120320, 117770927, 418204201, 565144238, 716618530, 342429796, 354648040, 413020231, 322339443, 885301387, 987126690, 47560344, 869182257, 181606636, 735855855, 640845677, 197221869, 572905377, 796113421, 947032974, 248126105, 184116143, 704825498, 344743277, 217871357, 451700934, 17293474, 800511986, 533104084, 611591435, 88714891, 460484264, 795657723, 1034836095, 49569700, 46113704, 176311039, 969935165, 899227768, 713992643, 28653000, 56722523, 852376994, 858646337, 398703489, 819594371, 962582574, 885858457, 935903300, 470496011, 811321258, 690607789, 726701573, 567400270, 154979709, 535845019, 795304634, 873237570, 278834951, 370760616, 1048315956, 236414941, 779389863, 187203181, 634012799, 706040354, 942613597, 1014978728, 1060259771, 860627819, 1018610408, 225419154, 739143607, 254691641, 213244359, 206925299, 715547503, 268268711, 1052123847, 228209254, 360060866, 496558612, 890903053, 478466702, 1004845364, 424336124, 1039415608, 300545376, 297986278, 494234821, 264273712, 347434736, 329203965, 101565655, 835717656, 441648591, 1019286920, 625613543, 1001287500, 42870337, 70432442, 959481456, 861426690, 1038252616, 727207159, 218831705, 509551062, 358691945, 806288165, 196562312, 288168098, 659931233, 228787503, 59850180, 827504940, 1025781242, 31531648, 305546774, 106064060, 208074064, 599859615, 504466354, 636778581, 793290927, 347648118, 393907896, 713297871, 292689522, 893531318, 841651242, 328195680, 24527466, 28322005, 955269728, 911752786, 71888976, 207933017, 379453271, 91802573, 106636909, 78062553, 739072265, 300482790, 605647877, 378552723, 601553874, 21180357, 907356035, 581963092, 164678589, 732635074, 257606186, 882798423, 163996350, 747410561, 1010041003, 628549420, 486532442, 444996487, 791518066, 363829679, 582416187, 735132901, 348224858, 689400031, 459829311, 806788545, 719821018, 378065451, 514964630, 1044115044, 307278286, 1051945014, 279707753, 20345364, 565498718, 854888796, 310545521, 625304981, 745374384, 938186534, 897130340, 76996835, 922687576, 182396666, 46995307, 857265691, 922728438, 337787602, 660040122, 639224185, 89550329, 807141678, 90601795, 1022176450, 632173978, 665866328, 747686180, 420447108, 215897533, 224923024, 419139782, 811888402, 716269191, 668248521, 557128517, 638701985, 924613629, 735892077, 413255225, 342464584, 980298561, 821139683, 623187616, 950545147, 132383476, 395988447, 387328564, 375693193, 493894803, 575242294, 507387252, 779801610, 313285993, 1010642378, 209793826, 706096961, 429807097, 217128202, 596717461, 405284487, 1020120214, 954462829, 719574770, 753168772, 439596320, 35478914, 468030645, 765619663, 379337743, 798735030, 462242678, 567108118, 969926720, 149976049, 829223256, 899051262, 95554526, 945750952, 457441923, 897683778, 797201641, 545922652, 597435157, 538586449, 946772601, 727583558, 859157432, 183931314, 844436768, 656478499, 129462145, 753427906, 327402141, 130295454, 932195987, 16798106, 462504617, 109310449, 67270043, 553744182, 352326908, 115825527, 491676515, 964023066, 577532078, 906943430, 138017885, 27515318, 140738188, 774098410, 62336928, 375188182, 727657491, 808707158, 437721936, 148980726, 999640880, 231936614, 484514837, 341776592, 640980612, 855102637, 305296200, 301257624, 360878153, 367450, 51535930, 1024268333, 593323550, 293832038, 479297277, 962875103, 160885245, 50391934, 1039752743, 733933583, 331515019, 550999353, 187984588, 580439509, 634771612, 278186501, 398752908, 1030501262, 347053252, 527491187, 913571735, 506594850, 420401212, 192251928, 726801859, 779852677, 655676084, 295972484, 505968478, 740873621, 1007848870, 206149314, 311768708, 862949942, 728645911, 587415685, 998839004, 502427150, 506032434, 583065069, 485534333, 383922555, 558883793, 624468570, 352233082, 451080369, 123172029, 315455935, 626115422, 662153863, 987709573, 683693087, 905303543, 288004091, 909915690, 427989174, 513954463, 146367178, 772113706, 271779907, 717602998, 1008029058, 285245109, 916662760, 944819479, 570628804, 228635958, 935602061, 498201480, 79255801, 293787428, 981647331, 993549737, 811765836, 181257183, 725994332, 141784947, 609704346, 46855818, 615765454, 891971572, 252782803, 214425734, 437092984, 171631443, 663488186, 797031638, 674815111, 881918504, 185755823, 236838255, 951183117, 413373867, 151914035, 945323223, 373068954, 557880903, 377995469, 393850149, 757934580, 334725980, 417210491, 402403730, 548483475, 627712257, 726025853, 143881443, 1068169762, 612806759, 727316337, 175429601, 506999437, 209480549, 558447134, 614679146, 1062382558, 590939217, 501920205, 988588474, 85304418, 136196904, 787999787, 198136838, 4068989, 23539474, 729701286, 443209635, 230060634, 584377723, 830562440, 698661715, 253492753, 906686186, 553261255, 163219935, 228177048, 888679187, 505999300, 305752621, 1037681440, 949569206, 416077577, 546532607, 820780488, 337717645, 768188426, 991734204, 996673258, 290666232, 324183753, 947351490, 717234137, 956809296, 202919108, 206614323, 398347697, 553376245, 170498134, 141918573, 3101458, 310416445, 631739039, 11262392, 1031733536, 918218648, 882158373, 201551111, 797523364, 637043836, 534639801, 91965077, 758981284, 109170736, 659834788, 24993662, 247340890, 223874735, 671677673, 346248053, 654997016, 348647237, 841201336, 663478223, 259149796, 550224783, 925799819, 79839911, 743698953, 831735999, 123965808, 462624212, 856412623, 874370297, 475794417, 920158442, 372519149, 417724121, 408156711, 494763393, 655324673, 108515994, 639587923, 634450907, 894673888, 522436119, 362436799, 163684922, 441608663, 131026393, 153967000, 205384877, 427459698, 146176304, 346274924, 977130728, 42403970, 477186861, 269934110, 220800243, 280420426, 211577814, 301601967, 63831148, 431757197, 1058024079, 1039217469, 688076564, 576905709, 520010505, 840771308, 765274533, 560233817, 206090228, 656162556, 658597481, 895322712, 35563650, 698254410, 75941158, 818486976, 708023988, 196704476, 453519205, 105342297, 592432989, 13032221, 642549690, 140461352, 1055307474, 196714779, 895535443, 484240894, 866245255, 515158204, 359594217, 433953911, 251207484, 154566485, 602350388, 325400510, 707904350, 408895955, 281333130, 122149531, 174480637, 592779718, 1063147056, 39935665, 1037824254, 394688684, 213478766, 563243975, 1051409249, 257441889, 665820477, 710400281, 935991336, 518274695, 245358517, 744446464, 93955856, 36038242, 267413408, 310971593, 739732441, 83054724, 259475325, 396134049, 331308832, 940034963, 425267812, 1007163155, 798235384, 692210820, 1017711774, 656494431, 790706502, 808231004, 53106275, 93992509, 452474645, 463975682, 997985593, 749659813, 716292975, 616085724, 994042254, 336466776, 427492641, 856882062, 417613201, 213949884, 604366355, 461392729, 766748902, 465608401, 581807024, 934242115, 257605618, 708244548, 1005866712, 157833782, 814856716, 107726335, 409616335, 245767130, 164008280, 843083290, 47179352, 712847350, 1046236949, 634382745, 899035170, 745085291, 105628298, 867623023, 436087132, 624414188, 933808109, 481429789, 228784585, 602050829, 338394040, 181986551, 688034357, 494675181, 654240005, 155582869, 431993790, 823186145, 414983180, 1037926045, 113099963, 897051854, 878477742, 850294170, 206893212, 1041082613, 182290206, 688892301, 433385920, 348420499, 42028170, 640635865, 913715427, 136291748, 417069350, 197501721, 706381963, 1046292693, 286465966, 208407946, 993150743, 997755841, 954425392, 252159064, 392855020, 818083056, 858994498, 1013964960, 19826402, 161866437, 125222341, 1069967102, 464200699, 893045552, 802040699, 759227011, 810300188, 323459873, 904193417, 36831333, 934610283, 814378806, 211825227, 530610371, 162493982, 175489070, 880453266, 972165458, 588456951, 413805945, 752924442, 454557148, 287788608, 80771894, 162446525, 996260054, 399013475, 104403406, 573714614, 734882966, 904906186, 790567426, 665945460, 143665568, 1000702028, 175096212, 605852744, 815203838, 298391181, 142186255, 503087656, 1008017154, 562112551, 155138821, 324702331, 413533162, 602795117, 760154936, 145705958, 819929103, 947743385, 899406183, 26653862, 45976632, 675920905, 358722094, 705033697, 920115874, 456068816, 779198829, 350175264, 462226312, 960818709, 139652025, 32497498, 3936187, 225914786, 145887274, 425214555, 290807305, 1071549316, 704464466, 512705039, 115937668, 354639148, 804686485, 930857966, 1013395400, 423362660, 1000495030, 193687505, 433442319, 106221458, 18504755, 144197078, 285508731, 910422681, 897193514, 646235103, 803115007, 621360332, 688212496, 280061547, 618619650, 517364221, 653914646, 608328356, 191427078, 111748972, 382796082, 662315384, 329897561, 1007084146, 477703972, 331239348, 650336907, 924971465, 678856259, 295025667, 8796055, 906031335, 976277499, 209116673, 85596461, 454975072, 277731947, 165880359, 160553046, 460628461, 931571889, 180317207, 872307828, 175395036, 243161691, 189198777, 826531579, 753901747, 758475429, 217160119, 787064769, 441325034, 166102192, 1043864730, 682085481, 84461571, 632607822, 1022235301, 33539871, 715877720, 254126576, 791776535, 207468024, 652145430, 229318193, 129966800, 147783325, 112853886, 176933410, 785354612, 315213603, 363409341, 106560481, 734045889, 735940541, 262786948, 387717999, 1012243748, 614327212, 82752074, 688304318, 823784498, 976744789, 172809747, 346295213, 454052435, 991520492, 572089185, 600617532, 223997427, 758981133, 312001469, 572103601, 847201136, 649862402, 1054208448, 505106414, 778231000, 236125266, 303955118, 459256215, 951063722, 815736602, 300445323, 193797160, 458715448, 1056880740, 25757577, 1053719167, 558597038, 318330213, 111308830, 1034371703, 284334084, 728910770, 852768172, 869257795, 495999313, 40021262, 985029057, 966718482, 366899214, 923135901, 481540090, 453914835, 255083886, 499201796, 645916629, 359105811, 826285330, 5186034, 314755784, 414837888, 255507775, 1072450462, 778436467, 1050474766, 417646309, 961329147, 692821151, 206218980, 313425081, 88637586, 503318758, 33355171, 581699480, 837349873, 589931081, 536358799, 809366862, 129607857, 127210720, 492212321, 593789555, 757135517, 225193051, 900068440, 336251504, 172355860, 405784235, 307519132, 477086426, 796335535, 795034071, 1005629041, 910926077, 425151901, 1053289037, 347524144, 244552133, 73303688, 482805536, 863731379, 847353888, 196791867, 738972873, 943715969, 706560646, 793177265, 895043875, 489799549, 81948101, 734901706, 432651010, 431498537, 784982548, 921192376, 451966360, 243788253, 828199211, 477038319, 396857517, 7131450, 456204313, 175332025, 45981939, 345719685, 878301708, 377076974, 551900340, 673852122, 1008845319, 334727967, 228784538, 53946497, 352391305, 458861930, 591743873, 794264235, 189238205, 1051868030, 733103730, 807744184, 651378311, 965740435, 540423998, 231061732, 28596088, 858395960, 954913689, 271034817, 614464265, 720038706, 242241598, 45255198, 807240006, 886767803, 862506086, 138931609, 109214539, 127886533, 254644456, 71239223, 1037158818, 1053966895, 914188238, 828301505, 462820211, 788128646, 986417644, 90655589, 220359606, 127510243, 787725461, 244384012, 830792272, 509302218, 528676441, 497603546, 694221857, 129769630, 30666150, 1009895873, 949706379, 351661237, 350973882, 474526920, 109203149, 967715606, 879509079, 791714785, 451604758, 807806652, 373193113, 61650873, 176609975, 813179519, 994897972, 349099088, 828655435, 1057127889, 684078834, 692166864, 1038077169, 361293974, 345716582, 469334205, 179827388, 893086600, 700677937, 832167946, 323872377, 221169638, 466686809, 516465293, 100196775, 415391888, 611460697, 310207686, 512948104, 162120266, 243176063, 395101305, 55144059, 766152367, 262201506, 861636557, 96649414, 423676588, 722569388, 1069293295, 506289203, 271399522, 192948871, 363911227, 727765850, 649575166, 329674849, 642904449, 569935395, 61924819, 853227216, 972650899, 656175946, 147262706, 45964396, 169601495, 929320834, 961555223, 59119410, 1037402993, 464976895, 612001026, 97600430, 598869775, 779699476, 792379743, 46189372, 978980875, 1051098111, 414893384, 45169592, 109810274, 38329680, 857476715, 28679396, 730253121, 86437153, 603447483, 390083065, 574621952, 695771460, 1049421503, 683213651, 523513931, 663811676, 96435685, 757200951, 402437080, 836927079, 699102554, 325584185, 848698133, 949112225, 146257755, 903857870, 258260309, 360241807, 132171317, 492484374, 234288330, 178255165, 23797055, 99544991, 311711077, 149950916, 112541692, 740778458, 163083090, 61396811, 883790968, 450327085, 544587638, 754184110, 113442278, 912882846, 962153602, 863784106, 810042504, 444932380, 210118030, 257493271, 627517385, 120391253, 970804564, 68777648, 150303678, 140507063, 1028475592, 366267328, 497231062, 204869464, 438035418, 1038670797, 373666317, 875606284, 216255073, 261017761, 523454625, 49274839, 375367968, 327385531, 280250848, 852310291, 49724535, 756299659, 849304225, 14647943, 1020226968, 1012598872, 873733160, 620667327, 154340066, 575881669, 614315500, 973037281, 108126810, 304186351, 514604783, 900221818, 276821133, 515169877, 720224747, 480416952, 516634063, 126168388, 651728199, 670113901, 71153660, 123716135, 54239522, 912082408, 498055458, 42171702, 691781389, 967536498, 839082773, 934493857, 510990155, 24469963, 950705528, 127364196, 1030761789, 1030332102, 338523006, 478100399, 462995018, 21374690, 1038918049, 552015032, 639976918, 99466537, 79132255, 754237627, 956056093, 890015510, 878251812, 774466506, 989656968, 929395598, 729168891, 118086402, 928637256, 319951738, 944839059, 725680672, 93592402, 852601936, 204911228, 245479065, 616739629, 914341700, 1029372488, 881006799, 466621985, 904586987, 1038910256, 354233482, 728147053, 862724882, 618575511, 295622883, 352014880, 129261648, 736921459, 1073055287, 214469065, 688249043, 951129582, 344986486, 255609513, 557932375, 327586641, 46673909, 60623143, 771004481, 334635799, 891124469, 494805375, 891517462, 166327781, 696438438, 923857356, 468452163, 33992202, 1064069093, 665873670, 136102210, 909718035, 578929421, 183011045, 86967600, 769844224, 777732488, 689411606, 479677696, 219740002, 695321599, 884790061, 231901810, 1062232893, 443457796, 1068012360, 858605603, 891617354, 385205296, 195325331, 392002077, 144172931, 873086817, 1061547988, 289721656, 1021177865, 147941169, 640867109, 428099051, 773183989, 972761723, 150746162, 1054487613, 628155496, 997850341, 927631082, 610925425, 450450588, 124492349, 471546501, 603643757, 40408447, 804615935, 840670891, 806720646, 621433010, 127977183, 665724787, 187202944, 85956362, 58943267, 1032958056, 433199509, 419810937, 63602483, 774617652, 467935181, 640800367, 561766862, 446612935, 372391349, 362036050, 683478507, 711583742, 796041911, 283751407, 353910349, 884150932, 566646866, 210753609, 487209419, 330615240, 298601478, 890457246, 707795419, 609565292, 915845267, 765462543, 133376278, 592444636, 1046116112, 193432080, 61642400, 193495798, 922727190, 226526324, 597026525, 966651218, 824356662, 832593730, 31398110, 849218145, 409622616, 542514436, 572877770, 14190756, 959938148, 658632069, 754207570, 510278575, 533860909, 695442217, 322713797, 352859747, 17239178, 159088814, 974964798, 242383066, 203594951, 823544756, 999337804, 849559105, 457756291, 621947989, 672138156, 513344842, 819116569, 729223213, 342599131, 774752479, 608863473, 328368190, 418302817, 165231731, 245667309, 596323912, 545270228, 441241104, 191135204, 853950482, 730414510, 34785767, 602773977, 425665172, 549299437, 714229926, 947118039, 315048723, 234060667, 322745596, 649524832, 87315764, 37710080, 334697983, 104868563, 424064112, 614383862, 486766055, 593671521, 833202608, 787647046, 470686469, 950059272, 364124186, 954707357, 288789005, 1018831437, 590385234, 228463540, 618226026, 975765766, 928912866, 211040664, 961782029, 35194811, 291308083, 558492006, 149315202, 737712398, 717103747, 378054407, 1063693761, 709462132, 154681408, 1060313706, 873358362, 390328673, 118314856, 157593581, 788361786, 136676085, 601176790, 98260031, 702570903, 99839093, 1022101361, 742856242, 5826062, 592464130, 698333324, 954275104, 494579864, 1017480052, 1032167864, 13937598, 1071620251, 619358821, 667179046, 861016763, 916420165, 948801267, 59879131, 700844385, 535065946, 55205722, 314797936, 642429341, 513067883, 762677601, 782521479, 329360946, 202806440, 250562553, 966175234, 864867711, 416029565, 779435066, 317811834, 572523010, 804689054, 377223579, 873986724, 316267127, 242180485, 915312826, 733968260, 173289109, 1032884498, 345569760, 422624948, 782129219, 18615310, 838415013, 324881161, 105451652, 93093922, 95651665, 1006893056, 110074359, 464555580, 945877447, 916914308, 305966719, 927387755, 903540426, 524974226, 92488510, 787831620, 410540523, 599088631, 1038434261, 55106415, 310882871, 1003234842, 141786430, 714592604, 835328056, 339648545, 33229851, 1057519279, 1060019046, 236044440, 831382414, 531678580, 361412536, 548691214, 386703094, 4161846, 18837444, 520328209, 663959138, 374054257, 462300452, 787412134, 1070169992, 684818290, 189757846, 924568412, 984457367, 1055907399, 858601512, 11447272, 182099765, 1029381059, 817830632, 602056691, 526660766, 730888559, 35739244, 895825773, 210223173, 875605840, 776872756, 318297124, 813744114, 309748221, 688644600, 210102533, 1068769754, 636710588, 1062464708, 726944877, 206250653, 113295993, 685435167, 701026096, 974062716, 884103554, 176928341, 1041355543, 71554641, 526040548, 930813752, 393152046, 979904339, 956197918, 617339536, 394637705, 52707644, 471079843, 778227244, 100660897, 507359992, 138343118, 46309179, 789938170, 434009441, 683100990, 395365664, 1044668102, 366007733, 643723747, 890714003, 1070150853, 1031052727, 263842797, 143718582, 315170469, 582757806, 907620406, 239961998, 132611259, 413558367, 117685852, 802805266, 255297888, 2029811, 413185038, 811017112, 1066434853, 564502458, 985569311, 367675806, 795415440, 645850802, 458402100, 392692167, 933045846, 477192626, 333638921, 333956464, 509818703, 811992336, 985501362, 1017724687, 256271667, 804922271, 929904300, 544042061, 290903114, 75668402, 702181355, 528316181, 525043302, 481523630, 356119060, 150469705, 878143699, 941823931, 776594893, 214162627, 757439963, 81180861, 682023301, 723634688, 425713662, 140177047, 242209920, 126356207, 700670821, 1026948397, 915362092, 749338, 379930009, 677594472, 889097908, 1054446991, 373102733, 934992435, 273929149, 169060161, 791083116, 760628358, 83733175, 717131658, 602553080, 162715951, 190646442, 932102337, 248362741, 458330933, 63212013, 732764050, 819975458, 1443145, 722371703, 402110805, 382316275, 579444349, 623764749, 627051143, 407887436, 228978913, 89393048, 693022502, 267455979, 834414930, 786991361, 202009973, 224076184, 140907067, 811790474, 325288548, 330300384, 971019525, 605659066, 833483251, 700110666, 364236213, 91755773, 791890512, 922132659, 575063641, 969488244, 121291432, 133950006, 361863037, 554041370, 699292903, 1066681330, 872030446, 236046419, 643158578, 991842037, 713234637, 914217814, 323834022, 684572210, 671467369, 344777986, 158567576, 310901279, 1020690229, 689310868, 320540893, 497554204, 908841058, 931187806, 368401705, 286084966, 934927636, 682384046, 8195810, 674540818, 975704768, 246932309, 528353994, 369576642, 626094967, 317929490, 723567286, 540972951, 764967863, 779133475, 1026617510, 109658794, 416173604, 47500662, 841273076, 77822212, 240037769, 276733480, 19677296, 1007094541, 353687638, 529365127, 336858441, 314452917, 652909625, 258764036, 387214448, 111546728, 871032639, 738860052, 830585049, 1013602497, 209678500, 713795305, 925479831, 915562007, 952054259, 931025410, 99857720, 721089616, 1024879763, 377251278, 276567542, 469610768, 41146622, 256540294, 346977018, 724726233, 787371280, 752827151, 299228568, 127475724, 27388472, 804870233, 582844018, 617086910, 131886436, 511548990, 830833889, 653395680, 509511383, 671186962, 679299387, 912459610, 892217828, 243552514, 315981234, 287881022, 258812016, 1012054578, 538862668, 232047667, 743841294, 1005297751, 805732605, 56107748, 1039394211, 563106743, 98009891, 1039058272, 920092541, 1006864201, 52310442, 746688386, 812449310, 677231919, 1064928534, 421277330, 810436808, 274051857, 411219365, 572729598, 977379810, 132811334, 1036452477, 355203856, 703204340, 98759022, 474545165, 912421859, 927346926, 982125410, 697761443, 319165919, 506717656, 567814082, 301360989, 875632820, 377755479, 356634616, 618950868, 936055873, 872301912, 363478156, 766056564, 861007950, 324651124, 336069993, 1158549, 765248776, 266122728, 230217617, 56655862, 668144447, 255350982, 282783945, 32342581, 127246873, 891800255, 1000200379, 119093827, 987590158, 462259281, 475350708, 972000329, 723791803, 495883204, 984413898, 249911085, 205457765, 52782357, 81430998, 203370012, 62283564, 3809963, 784451547, 70403203, 582382735, 938957784, 123165318, 247395910, 104619370, 716984526, 294680826, 630120416, 694502315, 713111022, 448396598, 571154611, 98071915, 137177348, 117635213, 552089032, 297374931, 570040053, 284873247, 576934835, 395659929, 602269844, 654934932, 475242696, 1035685627, 377367812, 441191849, 372564418, 551389651, 197780209, 206165747, 114096276, 681037433, 124017473, 82523978, 384188879, 608491574, 444712364, 677397885, 1028313858, 936724910, 274725497, 565440068, 943635518, 1007032351, 320905065, 54298427, 849428786, 310152918, 898993736, 520256275, 756412116, 264047674, 610761330, 929919502, 818902497, 648223260, 508924276, 832850653, 344730900, 617395550, 251316664, 272644917, 14840811, 684480706, 256459670, 451194437, 362469548, 980195974, 321915612, 302364456, 230480099, 109377137, 826408585, 793863527, 651318516, 126298715, 760091922, 962422394, 785952590, 954589036, 296274044, 877784263, 224583880, 286972482, 605243236, 269489078, 1007618401, 507265252, 47668773, 330651044, 150138557, 1065953287, 15270647, 183151499, 247736609, 771891595, 314594812, 136607822, 783834414, 1041585025, 716146308, 307621802, 20543144, 1027391402, 1049939951, 1007153187, 614647473, 962272884, 248857419, 752055390, 621902325, 679448702, 208133972, 195125918, 1034196990, 92506928, 970080032, 713515353, 960916226, 327547035, 650244680, 858328164, 630732813, 789053227, 171017893, 31177663, 638228984, 815186217, 496202742, 1010046707, 614913589, 431159352, 673483928, 173591769, 733190262, 318712839, 517391350, 569986676, 171190865, 765773528, 370649887, 52867045, 959487438, 289390406, 513358512, 459272907, 61082805, 263270664, 402548394, 739084189, 780193993, 831466684, 902487859, 1062556101, 855568024, 281825898, 454821019, 28100101, 940552447, 76833558, 875003828, 115628820, 944950327, 98486931, 26525114, 394272254, 26483369, 504065043, 861278206, 465054436, 135407329, 159218571, 1044912546, 944681117, 585319561, 939035906, 170904624, 703459701, 849754814, 317861152, 151646655, 206077254, 1033185875, 421210944, 182092750, 536385770, 571502069, 406558089, 690792904, 222092655, 64713450, 785781746, 243170035, 438090856, 375269510, 693007099, 116079373, 917180464, 772664025, 773837203, 99926407, 661940032, 904807595, 287641292, 1040049647, 151637270, 352253366, 137288066, 266582144, 322038859, 649300070, 805425213, 886889961, 307046967, 590072736, 959105204, 265948430, 915060903, 711395611, 615140097, 1040982364, 677022230, 481884775, 392511053, 1067517112, 140869761, 343643977, 1072771202, 54406406, 956918589, 539269033, 1063001079, 861403190, 194934411, 65820055, 867503736, 279016400, 99983818, 134159297, 261523329, 880789313, 947651308, 287604486, 121792957, 720980433, 58563544, 642354712, 249860517, 821375543, 55947475, 631411662, 157471545, 699643550, 77922641, 407004518, 344940062, 229337113, 515644327, 449681956, 777941378, 891765226, 412058090, 699584629, 63306197, 727029961, 321867511, 150821651, 627009506, 209208590, 971072146, 672397000, 976919356, 896201577, 14028198, 204680875, 1038160432, 516324448, 608985012, 312099473, 736884800, 430748691, 393711839, 312846994, 991940421, 1038769453, 70894190, 903323762, 870181659, 683518272, 807397965, 170039541, 229157495, 1026243676, 139974881, 325076729, 214588993, 75089460, 1032797130, 25930754, 201831702, 434815581, 48956211, 754980611, 51897676, 881987346, 71334172, 907635423, 984990975, 101213835, 895113812, 842699824, 1063145803, 332347166, 442046803, 271544405, 446719594, 1062864616, 142322884, 236547956, 119715188, 23995673, 840023866, 1055570093, 1026240264, 146198514, 708995520, 704311279, 373581071, 713958382, 791723626, 76846462, 289018182, 377797213, 714177565, 55629684, 193109743, 625124618, 9800573, 461785832, 259210835, 855570688, 370908196, 783763191, 39609657, 353442469, 999538776, 837253532, 600956035, 159373639, 971353282, 94549182, 801593457, 254831325, 172562584, 102768256, 1056433088, 482698493, 158563953, 741147895, 175317052, 22419572, 421122483, 373848163, 251780050, 408917768, 20702375, 851678452, 48038035, 567563969, 539415660, 149976256, 107082354, 752154787, 825021052, 788687849, 71842809, 750252829, 245937942, 767790909, 187233391, 700052568, 567104988, 476682661, 207065552, 596322140, 397186394, 841461894, 382909510, 938591328, 296259539, 841178504, 791173112, 312168237, 1053498594, 91468143, 810770790, 224115259, 1018874729, 724434684, 18608681, 630274448, 298765495, 299651241, 98914945, 677162506, 183616123, 977209122, 715734562, 199121762, 660968724, 883560432, 766763895, 611976108, 746769413, 433901164, 307807263, 159350117, 172158072, 3757170, 688248437, 257203660, 43922617, 984300731, 237939015, 345025176, 773444945, 153234681, 363060047, 669905169, 158215544, 4594129, 779377080, 981834096, 802026911, 195138161, 508682109, 326004945, 381993096, 328412319, 226384900, 249314545, 993762885, 609342516, 25332958, 794871156, 563304740, 91235116, 125736870, 72917665, 901033173, 670688815, 639964438, 981465274, 952289526, 828772383, 299290196, 636423025, 106253945, 575390775, 1045744028, 277224880, 271692764, 1523293, 930930431, 479603950, 330160687, 665030830, 522536333, 382912342, 316686236, 496646882, 725322092, 1005184464, 62829111, 573642949, 386414490, 180409378, 168877691, 847600901, 705668763, 9325851, 996756095, 995000493, 837458310, 537022003, 981004674, 660579806, 917472258, 425173105, 98762412, 498572368, 125393687, 309772635, 856826385, 308620943, 494674051, 63713578, 1058279500, 486436618, 415796353, 179774605, 775836654, 980061144, 803923836, 272789658, 521854928, 461092468, 997580339, 383149558, 784537978, 385266977, 430436808, 373018566, 451910143, 799663288, 896017957, 643587283, 637329129, 216307049, 280512618, 209808691, 872418860, 1005192034, 141821271, 1043970476, 570614707, 980434783, 818154398, 103711661, 364321413, 781337097, 787330443, 724119451, 613831541, 384177150, 561031419, 244888220, 120380198, 1007897371, 406315935, 693279181, 969756144, 2778648, 1038495009, 851608711, 898609933, 842670844, 356672536, 1011279513, 634896266, 418591736, 393509626, 77133454, 891063950, 353540073, 586772306, 1004007800, 268420863, 827737963, 525418653, 1003197372, 167013443, 313171436, 591766385, 690981505, 881077893, 507543534, 991156091, 234263015, 931801158, 244013527, 932097109, 427608067, 866089422, 946746548, 748414198, 30304221, 334187750, 420241529, 287993038, 252051185, 948973103, 195346405, 764490183, 663446812, 118349009, 989825510, 957551675, 461851668, 132574083, 105197549, 383596936, 451153576, 1015695314, 633378313, 288164071, 668773887, 43895854, 630170958, 727934490, 380231174, 328121378, 230470875, 42231494, 906314987, 666019334, 806974916, 954959450, 1065824590, 126727316, 745614725, 38282485, 362501686, 1030309327, 89633262, 813732877, 543271232, 743214016, 927575524, 509658399, 849809338, 268756937, 257578226, 665894512, 520708745, 1032634897, 218946439, 905308183, 681993127, 291552372, 553870407, 504160894, 445092052, 666744462, 1012512110, 979874020, 394912719, 125868486, 1025293329, 816368045, 425301293, 525909030, 8106056, 892442094, 29135282, 337253828, 624057160, 996671947, 599932189, 1006175771, 256576092, 1031358710, 489168393, 1044116434, 984857137, 971304437, 91353955, 461660950, 950320142, 167650554, 672956388, 438598193, 633324256, 188865524, 167775971, 510863960, 691633286, 619363042, 266398565, 1028969218, 1046467287, 978006274, 654577336, 823389860, 296763203, 292653859, 89930682, 454595555, 1052134952, 541217656, 872594218, 587559598, 565689340, 817098330, 984405917, 966387966, 879036622, 188541713, 740255469, 448379080, 767278785, 611759012, 431100043, 700638286, 424896961, 663689532, 643076411, 829686626, 992513912, 1067734200, 1029654476, 118581231, 28452630, 738414022, 818529472, 965217316, 535902828, 223447113, 631553713, 55381655, 98675696, 260253182, 656740021, 141429141, 791918877, 182220338, 563403352, 40895781, 568647164, 952100267, 754523799, 486837763, 918576584, 738174633, 368649571, 305970006, 425192957, 57237327, 1065504471, 340651155, 142807018, 670315475, 510137443, 868354367, 608180921, 23789891, 786231848, 920174239, 867897486, 917155035, 550537370, 935354139, 607818977, 160742272, 607092147, 80097651, 690005682, 681635709, 730088524, 611390109, 941692135, 807439571, 23880522, 767763704, 166947212, 139874353, 909727755, 813941458, 917523813, 43983819, 127702260, 349448205, 1004812303, 218276953, 523061643, 997498546, 510410169, 600720298, 31456622, 830021220, 968299271, 403913155, 932166770, 45047647, 864220475, 277539541, 1004966339, 253816153, 837631667, 243581191, 1028946, 475848959, 654443213, 965393376, 109127219, 754351148, 496302572, 317964094, 971224021, 896573223, 834894758, 496599434, 733900105, 105810629, 253567454, 839265809, 444986665, 16603072, 263007572, 145381335, 569001093, 693356572, 771385792, 661129477, 331207505, 922051273, 540930223, 1057871006, 978799352, 655019535, 448436206, 229946615, 530099788, 167868821, 783561269, 738366762, 185367932, 595699495, 1034767287, 599043550, 220060691, 746334817, 99744386, 252789843, 236487748, 290142808, 14680104, 15661215, 1014021064, 242101597, 777009394, 178897946, 192380167, 561882330, 213659945, 547130601, 292058966, 161895690, 503134521, 299348700, 36586811, 868837041, 666457114, 513183853, 217908007, 613273657, 683111280, 767640673, 455841527, 489083373, 515150287, 943665767, 561909184, 628260915, 657922250, 101878553, 323652916, 828260203, 824976989, 772066654, 808133041, 138838086, 82058162, 227242618, 992063104, 844138200, 58141148, 1050649577, 131992168, 1040160286, 147598023, 975956857, 787472824, 676833738, 28110693, 618564377, 898250577, 834244970, 325032728, 227499996, 800699074, 315789611, 777804414, 478703609, 1003988139, 108431837, 85381250, 499438233, 739058776, 670594148, 696992810, 549560971, 574127305, 268508997, 381021717, 1002674292, 980098825, 458149847, 373454453, 85405979, 925440982, 914105248, 57099559, 12597586, 771671850, 6183632, 1031498289, 353528548, 669560134, 1049685096, 838851757, 687829270, 505391208, 598585393, 320399811, 999980085, 697372628, 906851303, 426418589, 9144979, 768363010, 81486006, 1060449553, 1043280414, 353356606, 735365061, 6369901, 459881898, 360507186, 864693328, 439477115, 402399819, 1025664955, 655037727, 487204523, 940611460, 875060771, 477596697, 880934278, 767542502, 503396391, 892458074, 637579148, 88623357, 610215428, 35761648, 693702329, 1050639210, 44913715, 59198747, 817751970, 493936447, 300630714, 497685133, 1026285191, 838300613, 410455116, 656831006, 18112701, 315937073, 487037612, 53764781, 100578501, 566279625, 252538525, 333528634, 275943943, 762497332, 392684985, 61765079, 564121660, 622638323, 79323942, 49692846, 557888778, 209338147, 555757921, 822091503, 490676888, 956084947, 667351493, 894828231, 266628892, 256906052, 109519345, 399568751, 444010037, 492962723, 999951995, 482528788, 631108946, 627418273, 220752641, 576866501, 252501779, 545666630, 409200839, 63997217, 189354721, 420736896, 539455509, 2262843, 204044304, 840219410, 119261241, 307464116, 622746907, 820979569, 449353027, 113080140, 673873442, 787607900, 58197958, 133029263, 192923229, 305734524, 68482562, 246456411, 929253290, 368837739, 724979858, 1068865213, 563888662, 863022161, 447057104, 727483223, 534799013, 378439427, 1057927020, 904582357, 700047421, 166544165, 92555223, 234919407, 588403187, 712787411, 590380967, 1059615218, 1035429205, 485601944, 880691073, 770861001, 628700211, 21348113, 738939553, 98368019, 404197105, 734569418, 572201878, 581497647, 522431548, 852651532, 748587956, 836405149, 657567279, 307212025, 608752060, 299204003, 945649913, 292778165, 872939293, 937048082, 621171193, 714948287, 181999233, 302985423, 1013143299, 172047008, 333870012, 598205481, 663731748, 652582561, 949630092, 518191729, 443868936, 368330161, 127570972, 160217391, 846324835, 63368158, 704140988, 92145049, 946687933, 177981919, 134911860, 288322999, 564418039, 792381041, 918893159, 303771194, 706158184, 881971356, 366979290, 1017020693, 909596207, 295492411, 45501391, 362807027, 527189183, 182385187, 717680603, 100245701, 294756849, 583760920, 332576669, 354342078, 1070217940, 239949777, 984268948, 1041897708, 630232902, 504236936, 86526242, 324563356, 229132568, 896243910, 679097447, 433187139, 960446320, 479979843, 991140932, 462733304, 427547232, 178196908, 779047808, 626874450, 581126485, 2123778, 40713093, 20373140, 59923901, 270005046, 857342071, 1027001249, 1069123197, 381660709, 414066666, 301927036, 518790952, 306436826, 772753019, 878550711, 1037100472, 553180146, 684044778, 790580516, 1055609121, 745339143, 478599570, 1066137727, 586178603, 6012966, 252041622, 1026839516, 259044999, 14353770, 883221206, 666586087, 160450091, 830574720, 628456887, 276527649, 260734771, 434681841, 828057925, 801395706, 290200892, 447780430, 77607322, 206862196, 551527542, 913793693, 407527023, 483030852, 650930510, 440977607, 488527010, 806353371, 1050270110, 817825092, 902436005, 320147535, 275741568, 368436635, 163226738, 883411543, 307474735, 394585185, 523101320, 570276242, 839079928, 444456260, 229867677, 974917348, 533520450, 192501943, 646255765, 89615770, 972135359, 69522412, 565733105, 217037750, 720882454, 544021029, 770454658, 1070409010, 256675371, 288732761, 789834372, 97933353, 120271457, 604791610, 581327443, 811358168, 718090869, 1061359568, 601377323, 226418127, 619103415, 543656035, 983981543, 855405024, 1003169109, 187127519, 185687742, 237135976, 883743503, 315623067, 992379873, 529586329, 606829147, 392135287, 751316049, 916411370, 564503406, 707755426, 754395461, 382319147, 170405304, 991474303, 453995827, 676778550, 277576744, 234593124, 991339272, 267239622, 931644402, 191297043, 565995747, 679193680, 55097478, 496237363, 775523906, 71146075, 401136078, 724058996, 948906365, 418053894, 744198636, 802042717, 764549274, 803228396, 912462028, 448996325, 823139084, 5605139, 356281163, 787292458, 749758557, 489226280, 130504370, 160417806, 335356620, 448839811, 998005542, 920503625, 914328639, 624809182, 467525210, 710729067, 445894323, 758365047, 449878292, 616570565, 952294357, 449963199, 644523345, 234799506, 347954015, 1047241395, 420667152, 406121020, 434013844, 684523203, 120077504, 294762643, 797399794, 300478931, 1030461784, 446363349, 1072650254, 874533028, 105274836, 897746130, 34419696, 175673066, 1040715725, 348479403, 493779415, 303818967, 724300432, 211075354, 531107329, 51036826, 886749419, 23422662, 918640305, 404608851, 703501911, 263085071, 645327365, 127455319, 600019796, 764060806, 644661217, 1063501684, 657869606, 600318133, 505178232, 970403285, 175810409, 659595488, 409219800, 968910296, 889157661, 75918966, 294479714, 481070087, 442364890, 467618829, 734367101, 981984723, 889528818, 654859376, 914236782, 157573391, 966233856, 475314415, 247694875, 276903719, 423902692, 240630594, 165258447, 336060137, 663097257, 939821025, 696738760, 311508488, 127325956, 777895898, 362409412, 969016309, 238693058, 55198537, 50202014, 635760333, 208553912, 413430580, 394674731, 681501281, 112156211, 156076597, 350056666, 485058988, 129383261, 799889684, 473984972, 467378068, 626076013, 397340459, 396876098, 786576951, 904671396, 908079384, 505583543, 118395582, 875823528, 503543398, 653400303, 324398279, 31692630, 129636728, 1051636453, 472249838, 998104763, 467825228, 722688479, 560596686, 1056263557, 851326585, 924479714, 570403222, 735324118, 415605251, 374004069, 545330314, 491903993, 1021001906, 824638478, 732202513, 429146794, 239581727, 1651950, 595694226, 69132777, 274138249, 780954341, 186753225, 959658560, 207572501, 820927909, 106112453, 377533666, 501082385, 743320281, 1034672042, 333941124, 121121923, 506167006, 83042729, 684726805, 495762464, 261671885, 1041554885, 505751147, 398159238, 755020364, 52556490, 154198352, 40734502, 332456046, 161878529, 1035642446, 825942520, 1049898633, 979757138, 44787446, 439865590, 945203815, 284403745, 441963182, 80900952, 652320616, 331174653, 1020138605, 633881067, 603858390, 302736554, 1026649560, 904893534, 833792067, 559718600, 201765881, 305126919, 480658252, 605064874, 849253260, 210352087, 267354231, 693161274, 390333060, 661991052, 590573707, 60945445, 1037212476, 520096026, 767202872, 570309825, 580808604, 747894567, 617361322, 81743785, 52317737, 315977723, 493489928, 544055728, 609456364, 433975211, 614879435, 418060208, 472342196, 968726715, 239125531, 864460840, 1072296573, 723271606, 446277250, 307462325, 868813569, 748351069, 143327216, 384651925, 158294073, 587308714, 96349337, 133266194, 380624319, 668330586, 885044638, 638010123, 347755591, 567071806, 317864739, 3090516, 355142768, 470339615, 46808470, 954239349, 515741371, 802712433, 634043527, 807090407, 260009661, 720150521, 276293712, 533741905, 730536339, 518705074, 843447925, 638264356, 619786912, 993956183, 850549463, 657628467, 24245103, 99497335, 351557550, 32392551, 110450746, 697038575, 198036714, 651996910, 212330670, 854176199, 653703301, 835889981, 724106528, 583134136, 239940737, 339352609, 949121884, 104898781, 116420013, 292466146, 557981159, 38009224, 265108655, 276700216, 783817719, 529929599, 807540055, 642503058, 873726197, 12337360, 821206592, 271602258, 87457080, 314692620, 605745227, 373564279, 577684978, 591189254, 319086621, 617046065, 749744158, 893424827, 658042499, 228529235, 166280014, 612561297, 868617874, 1007580440, 529449020, 861801312, 1050519080, 269436351, 177571089, 1034106061, 82737018, 590487492, 106357823, 258664340, 436894342, 447976291, 68048630, 263783613, 892654793, 1073116665, 480026751, 971796619, 385932364, 155167798, 648031372, 213788966, 761091410, 428855086, 17881949, 422515632, 672962860, 99798734, 435719705, 355109836, 901538580, 1015953547, 473651860, 84782178, 974645711, 785706354, 307461282, 950261346, 525174352, 249045752, 433646906, 372577531, 814917059, 928897141, 183657157, 477034878, 820061965, 211406127, 866046970, 664075484, 710949073, 24953321, 403963471, 51124826, 114170246, 56755407, 490424744, 357234204, 572269111, 298766284, 458579276, 513650472, 977538840, 854804697, 281387668, 418276938, 723944529, 337299790, 535612155, 284630569, 399391762, 116813102, 775816177, 26908933, 574977864, 45844948, 553843421, 549606595, 162525038, 1045569033, 808357429, 192137805, 112575232, 1058823629, 803205649, 505268980, 428920467, 850922509, 720930253, 748107453, 263057259, 522054904, 84867354, 76820819, 365079484, 881894384, 709871370, 230013540, 69199471, 172528856, 90194732, 449782701, 162678377, 1030727535, 372455382, 411003449, 228105414, 981797703, 433669853, 532118831, 340501542, 1055746713, 923645421, 483476574, 1009877812, 717414234, 447377128, 469116884, 741264940, 1049048312, 616349583, 1029169750, 1044048056, 643474973, 561047503, 230266761, 825817166, 399539424, 430474526, 911412049, 937331452, 428800863, 650838567, 11723986, 435652774, 938371098, 747018790, 45949701, 821743654, 282552408, 831189780, 361369041, 2953151, 609652273, 124327955, 639594977, 164906061, 838644042, 907507522, 885563647, 308525674, 893018503, 263597993, 515465753, 278771748, 9085845, 756101580, 1012546757, 43301874, 746419285, 412655155, 284859766, 395569488, 831078695, 844427337, 368411153, 638202692, 500496991, 812183977, 930031916, 204733628, 583354301, 862366433, 145022178, 520485747, 1020098912, 719052749, 792434594, 415584795, 143725380, 805233983, 40045375, 727001381, 584100990, 456191242, 386342039, 400938636, 766308397, 536357652, 746879756, 378469039, 804395831, 664468937, 34884282, 978905372, 929912601, 315329392, 344735115, 669452121, 950920486, 386817847, 986079201, 558173380, 510189903, 936888528, 104521349, 474319812, 985192641, 187132473, 634945513, 685890820, 580492333, 912790712, 279683594, 515808524, 282371804, 952074517, 121617896, 739234271, 457494966, 595895323, 898465055, 702442024, 1001729756, 1047560885, 962771349, 898014613, 612063850, 183635377, 1063598028, 568484500, 541822139, 639176721, 916771422, 515139193, 776337187, 152170296, 614443402, 992472191, 617067144, 1014274207, 907399604, 785144235, 542603384, 551933830, 1059449254, 767842122, 205487580, 533491080, 394064175, 923500432, 421265636, 493554103, 720654358, 662465124, 619230383, 774625391, 380728581, 706226631, 532080220, 141641321, 812399901, 350057456, 857203141, 104992159, 972885467, 997644290, 801806373, 402882417, 393705465, 787605649, 687077755, 874852340, 537612397, 317893577, 883563413, 968681813, 255806020, 830292827, 866679395, 853714615, 552004424, 751341685, 464498361, 750431575, 687700916, 417530095, 568741810, 476202969, 1071292135, 469661701, 512017762, 728907353, 610823460, 156171581, 329329885, 399110235, 605320866, 848689158, 806638866, 739764167, 353186923, 292844273, 720270348, 406784791, 512527117, 5122293, 125142514, 293006419, 861404721, 482849089, 184389999, 978467211, 357393197, 226696599, 891233443, 657190824, 1045784172, 941065743, 310668933, 972536321, 763266799, 513183702, 498481464, 489130069, 1001814507, 980389699, 466216389, 39319506, 155442492, 1049064812, 17816978, 253085596, 970024347, 517790646, 655921231, 947455485, 557057226, 11192338, 842356944, 614538082, 160909465, 911701721, 417445796, 57408685, 507353482, 771926112, 996335034, 367886589, 716908081, 158247059, 256589252, 699514139, 898372829, 110452430, 909758119, 681690647, 812029553, 194220824, 243529266, 22238367, 219898375, 511005144, 568697098, 193777198, 551941845, 1006620189, 334796085, 86768754, 903668167, 59657511, 916278894, 946719583, 989878736, 241903673, 406630165, 698068151, 1010647393, 265541950, 78284605, 706528143, 751345043, 715547300, 147950266, 502814516, 266243207, 329471744, 1000704928, 48273752, 1030363025, 24735016, 88053808, 901113159, 501215023, 715917278, 280166308, 692047342, 865001607, 301688114, 215811762, 256360184, 265195749, 607928043, 164638165, 386666109, 606827841, 499714976, 587978755, 349509160, 150097393, 163553641, 109161534, 913844411, 896324351, 851012056, 151055882, 164658850, 916298573, 400301525, 872074578, 210247329, 43096452, 860111654, 887470779, 918084477, 253145789, 770604111, 362048974, 17039142, 183517016, 284439590, 991290557, 148456502, 612419622, 28138154, 352838829, 454802568, 89497810, 1051599687, 1012372613, 874091829, 565686366, 96360150, 111496148, 424199499, 431961237, 547494980, 412712048, 174213705, 675706103, 812920558, 571151298, 515756183, 905270357, 242573077, 323551156, 408656831, 377049431, 731923485, 505216213, 1050207813, 1072080858, 578559249, 989583127, 383531652, 305788236, 835682506, 557336530, 237733707, 866236764, 999382676, 860336807, 501185135, 716889240, 800038879, 172459746, 890384536, 889086424, 453424787, 989850395, 59830304, 789688114, 1000733515, 141112443, 394477720, 1064017329, 472221531, 981373837, 504535662, 554342645, 834755843, 371601092, 278078336, 767120109, 222332824, 21489729, 169937249, 910575350, 104856828, 164194029, 274627410, 188293093, 260746110, 591344348, 263879414, 169063462, 960740684, 196652372, 482867521, 878756554, 4475450, 240562122, 772648861, 159073811, 1031258015, 1009540954, 480286345, 436983203, 59499036, 975366259, 38141744, 501935380, 157955820, 400513208, 888562060, 185771963, 607160868, 813066149, 629745690, 207253544, 779987017, 595449327, 925348213, 54863829, 979379669, 260335437, 471990054, 966599001, 357108213, 408407602, 108118304, 536607141, 269857171, 408013523, 287577700, 84350731, 419558846, 871565531, 1039031494, 82172968, 752762187, 1033211333, 52226063, 251969976, 932073977, 899064745, 722716394, 293138769, 554744293, 14542129, 290933103, 111036574, 264777612, 472431918, 642446190, 300834254, 646785994, 783205663, 71153694, 1022936283, 381255558, 861626733, 168893582, 137262696, 865425881, 889905993, 212181401, 1037154654, 230199857, 116653190, 89683468, 473087763, 39175758, 107237990, 648031891, 855800898, 28716237, 319191862, 155754305, 36809205, 224323012, 924376670, 453050074, 157514994, 517396614, 782227696, 277104381, 969372236, 61589122, 36642373, 122365493, 442803929, 1005134971, 82355182, 585815559, 621166651, 1023621061, 982110249, 383194721, 454988374, 776266186, 792829083, 72225790, 399314810, 737394351, 268894299, 852209869, 478931167, 230828287, 2424480, 167831669, 1037982412, 753914463, 816426199, 946457902, 758799261, 977189355, 249939316, 250817580, 988204403, 907697573, 114696667, 789723379, 427870534, 81084523, 483347336, 76486698, 753595859, 618661797, 419908232, 372322140, 484618431, 878249016, 676932173, 663443330, 647979840, 378755586, 722819735, 276672492, 32416716, 704038978, 494486866, 805192913, 295571024, 328890151, 127324971, 1058400539, 502170929, 108163137, 615241398, 613670521, 750977336, 352544215, 353091456, 921804516, 189280074, 170509366, 993912731, 180985185, 754323804, 617084711, 361358545, 936621410, 83947890, 209503844, 472510578, 781060914, 282906335, 5756954, 556319510, 57862779, 156530485, 527286769, 354770535, 163315589, 158232035, 847084854, 331147646, 558111195, 58541440, 818074646, 25199033, 806616328, 766531416, 672575165, 12842613, 267063720, 387752534, 114231539, 85858356, 281153687, 456968705, 328818189, 867598308, 111959453, 146391369, 991873368, 1047636522, 1069463876, 379320470, 1002843939, 522430005, 20087311, 174853741, 3337131, 323105020, 790829947, 771339133, 837163658, 979712623, 1035159037, 122880422, 1011661379, 298055681, 574438803, 453189562, 845927516, 104554152, 86643704, 825759564, 1041580366, 49849785, 131666042, 78376786, 614052810, 871422144, 715340702, 178180929, 32140830, 984074062, 133304223, 643260524, 714188230, 919041372, 140069414, 577793829, 386927069, 807231920, 590990295, 1061269147, 246340091, 906164035, 861428458, 392629910, 270999606, 920959993, 1051992003, 283681083, 128640959, 15016969, 956110786, 3663123, 733434801, 238947394, 939865707, 703644023, 835891899, 1047518604, 71687722, 106245122, 162995800, 142535510, 365297330, 387978791, 604012398, 809569555, 11136720, 876485934, 648099624, 382437672, 891899648, 539786643, 542400796, 640824584, 981119207, 624177088, 894995100, 450742873, 668888445, 247239107, 604162976, 963325597, 235161784, 565900605, 12184207, 162143095, 622217178, 493706598, 840235554, 764289888, 1010746109, 374996704, 1009181665, 749991079, 639973130, 357506424, 473114272, 961619495, 984874955, 1006222524, 197548130, 85662296, 281221413, 208116097, 23572001, 969398041, 1032056048, 139030540, 682767957, 1018935037, 985145031, 411826429, 509128571, 226240809, 808373720, 925793644, 221687805, 141319069, 560331807, 218954756, 1012356231, 681954874, 248197250, 633046447, 667412589, 784804009, 204352491, 922314953, 219932521, 284764196, 413475499, 840083693, 308093564, 179179352, 255519259, 902086496, 41328720, 724353773, 695571692, 509718932, 409239859, 811253519, 52572493, 544044948, 120553508, 123321144, 287580150, 352284324, 182160796, 11845638, 97787168, 111195142, 229659057, 198515594, 415260797, 937542639, 27076581, 707694913, 325739019, 673116901, 579111418, 991709403, 640246667, 49262035, 939879415, 479122076, 241814932, 795490811, 233132355, 506916623, 375072444, 956738481, 628329888, 154286308, 558790930, 297762184, 505661814, 506664409, 430307108, 710710211, 927561602, 432425486, 722963384, 634898165, 1023839934, 271941064, 922083730, 248818282, 271900294, 600179437, 559107439, 444031629, 337449970, 344047559, 118406897, 632842337, 379019600, 45519792, 214548064, 121349101, 747737848, 186318056, 967017877, 791149476, 1003996356, 952512187, 696491533, 537713592, 825509670, 10500779, 518933615, 38005622, 470021857, 687891862, 511032179, 763092382, 832748223, 129405165, 65146857, 541311347, 374621294, 323294880, 551874423, 361356347, 686863311, 11577683, 422861735, 943021789, 715817212, 842913157, 411465914, 499381725, 517128810, 59179338, 1021578692, 643383328, 679967581, 48121832, 1030321868, 230150976, 179972171, 257194256, 220286863, 918547229, 128845133, 182531615, 1008582423, 432940755, 393585186, 482431091, 700405123, 1004970594, 400693038, 38357027, 840301587, 1031459253, 521892945, 541901407, 532114736, 325171197, 578883715, 1072935732, 1015477754, 179709079, 652964686, 520802191, 602190621, 1019271712, 204010729, 406202489, 456044497, 279572414, 865224376, 100691555, 183870809, 888228962, 405896575, 437981531, 777041605, 862804559, 865405183, 123612025, 255213087, 728456965, 487245184, 329661777, 492157243, 666412227, 742108159, 635336183, 695578889, 130823080, 36367025, 488991456, 531675856, 96603150, 46869331, 542342039, 732511535, 591792817, 262359756, 867239820, 1036887865, 65130863, 580363786, 349418872, 305896359, 638681641, 1024085099, 275401803, 173031465, 894328336, 52411876, 394846044, 677957496, 404979060, 872040122, 918839703, 53681140, 149039018, 753160847, 337249900, 430768741, 1050981185, 96391170, 1035477885, 910267985, 149765655, 231569508, 567144128, 20750786, 244775029, 215573846, 511019232, 980488051, 870820263, 14432395, 928843920, 407168545, 139972867, 279170973, 745687196, 301117280, 837390268, 275287693, 884017717, 595001686, 131511473, 655808497, 990284792, 311411011, 737679661, 192672814, 1025910251, 530034423, 985408713, 526874879, 376393774, 901262990, 145334499, 613662021, 752339622, 118749423, 960051057, 354569019, 406225159, 753459610, 184609168, 25081043, 22720290, 574476225, 644735932, 154086896, 220405918, 247305598, 1058232428, 796830933, 225077799, 195499943, 552563827, 283163388, 240957349, 547497423, 381808676, 1014644483, 106067128, 207706986, 27937353, 620924689, 329942447, 654502043, 651248412, 930351674, 478158379, 322119723, 700503424, 268134499, 1035992235, 379799859, 283507049, 258481728, 380189473, 575177885, 236852629, 1040761046, 961267729, 180425057, 624249676, 276937583, 943773099, 989812180, 930534807, 710115736, 630508405, 937419264, 425267908, 265035028, 966470837, 313825814, 290436118, 880233014, 859435391, 447968476, 430199298, 421032285, 453775431, 109736706, 94634059, 54831582, 952972555, 941214567, 1053276146, 592373663, 66276806, 890629050, 683818422, 354407566, 748662917, 717416391, 905661027, 255524191, 624754459, 182772569, 1070703414, 89040162, 815085246, 516872620, 244725060, 440817155, 215119944, 623148429, 554617270, 292623663, 395096050, 786552189, 902262444, 118646395, 831742272, 666231352, 377999408, 220128789, 193707088, 450418867, 357041314, 580345397, 400804921, 83277935, 837201917, 47799833, 491522897, 608759150, 889373047, 23601562, 61527520, 697416010, 849030559, 228742256, 1047632099, 457074803, 163642068, 372313793, 708203233, 194118760, 830915275, 642241979, 1019092251, 310718593, 567768737, 1069529259, 672912565, 418892290, 379270143, 290761305, 924046039, 130458824, 590116023, 859240136, 550643677, 602738787, 107654398, 955385322, 231491469, 214633019, 337278785, 543032207, 498581962, 605934938, 1055241299, 712599991, 533511729, 919505063, 490886311, 513243729, 652144520, 84588639, 301582131, 75661443, 303871427, 42640069, 731475138, 185472268, 628126782, 167766453, 261292979, 31241900, 799083016, 227427634, 107195007, 593388962, 19947176, 266417997, 147569501, 65833689, 109214616, 756183469, 774140525, 731034661, 670935274, 263993112, 639907537, 630265455, 870481549, 1057366405, 741722079, 936075591, 419580599, 859549563, 266741113, 316503225, 724467625, 708608774, 89408247, 626406593, 606531946, 82150722, 503551976, 25429232, 641566189, 767102878, 142812651, 114316521, 457363819, 725136378, 240478321, 953224076, 22699070, 225195400, 1017186567, 681978351, 478324777, 1056706984, 618333171, 651902423, 500285736, 699677639, 232393352, 586886505, 680394713, 325185510, 13887265, 311353785, 284062358, 652785518, 810246974, 442307680, 705989790, 755454283, 605230707, 183242174, 104108410, 686542857, 103888393, 563322698, 801663081, 140386611, 694144510, 607145668, 222855738, 1006587875, 1039923711, 940344977, 847755247, 669949536, 783859782, 661956791, 97892701, 64032276, 1022460369, 487161113, 535067172, 912527684, 372914597, 99866758, 582494241, 3931596, 615503374, 275192691, 670576667, 691219260, 403522273, 938864314, 393131547, 403878177, 493039166, 585433477, 161726103, 779154205, 715797792, 557701554, 586720866, 291599347, 948977170, 725586853, 314889229, 924420760, 601131894, 326401876, 31487304, 544842705, 927185720, 947643869, 1016853262, 511997377, 515905155, 437673507, 413490575, 539582880, 931347721, 605424843, 153750842, 937834983, 906533828, 628305463, 482208613, 754231802, 959919463, 631669514, 558822594, 364607968, 28421993, 861343784, 538885086, 184229190, 240259257, 323459394, 276309381, 723662224, 321242516, 1040900508, 69915392, 875713772, 155450852, 75231036, 712657841, 83291903, 934918237, 692660694, 970014324, 879115414, 391475671, 981475342, 406305542, 669750416, 428678151, 841455037, 65644971, 130394994, 275288004, 807118991, 890275363, 648943015, 642967208, 258366226, 141132910, 98236418, 49989041, 963421536, 294743993, 1069402768, 372562084, 909447799, 951340344, 1006843834, 857089871, 189016908, 77854072, 126020437, 1050042208, 901435106, 684889089, 700812030, 18398405, 231709673, 20716026, 882343697, 781862719, 76436905, 210798014, 316767242, 843215342, 718464814, 569321710, 898802702, 496675227, 122287309, 575189419, 122733421, 46447838, 250910843, 841997376, 272343441, 775710087, 493602902, 758779388, 784890430, 17768532, 891172239, 777671430, 252392254, 115980539, 977002911, 735492533, 438590963, 357864991, 601454637, 291835499, 391423107, 24684185, 57949348, 66856254, 421130425, 143297984, 184871063, 468598608, 577198617, 108447677, 368675209, 908172197, 285071356, 1061679960, 217740807, 105893030, 967315801, 774143080, 63935386, 942696818, 727555037, 426155594, 106722783, 846199586, 111486225, 151309355, 1012349771, 679230291, 926706199, 297630781, 850951429, 826309425, 154055269, 118968294, 983856054, 570881183, 414108883, 527174889, 991724407, 847310158, 782692232, 693720938, 337668423, 475638853, 10208935, 986097178, 792087411, 261716514, 239577090, 184636435, 1001890601, 1070920179, 447869766, 1066115767, 468860025, 756185039, 143915314, 281402255, 577257958, 726638820, 318025935, 688929357, 1046169990, 833809859, 231683136, 366042160, 589370916, 1028761401, 97762238, 622129564, 762003657, 583972129, 956229954, 484536444, 128116913, 204797371, 321414846, 554170193, 341388396, 676042201, 993897704, 616985369, 952205768, 553796708, 960980086, 7475417, 956578312, 1049119170, 501602594, 1060252891, 471457321, 654782034, 488153009, 792116708, 574443783, 169407094, 633160407, 1069341892, 598925173, 77992620, 136526423, 195107538, 623656520, 849218197, 113781274, 748688312, 717541751, 500550643, 189799734, 336376608, 882412591, 238248250, 897965971, 893802636, 328072355, 660908190, 403701999, 664744085, 701110581, 585875453, 636725960, 654595214, 842608550, 369162755, 102446096, 983175849, 921667262, 389627589, 537708777, 145229430, 932849560, 153991224, 697312051, 735244376, 538227964, 769588966, 297301476, 271983141, 522998033, 396609769, 545243207, 235453463, 702877366, 693203431, 798620385, 172643906, 662823314, 532436540, 450401853, 568785114, 578772688, 932418451, 391419134, 207119448, 1039385816, 1063195720, 378879883, 641211482, 314352067, 745103738, 359230554, 630608915, 17302788, 678808790, 690260895, 693350226, 551536514, 513108643, 670061842, 293919557, 17974470, 742574141, 330175770, 191108031, 675546095, 211901378, 928243726, 176502626, 534426532, 762383246, 806946420, 726487571, 672258771, 998245131, 84132729, 690632942, 681507560, 345003808, 454421370, 89099136, 809104254, 93077824, 978448444, 136976879, 949822360, 52117471, 544660310, 763934078, 925953273, 460175497, 511708640, 611842096, 297894372, 917206810, 617410351, 880650787, 975489504, 1029557990, 1028457141, 811699886, 920536908, 553210147, 361484612, 655830332, 227882621, 727839490, 969124715, 604735792, 678477395, 1016050953, 1207853, 767772536, 517197648, 575644007, 533834453, 202606271, 616871300, 304791515, 422409525, 961697597, 660307136, 468874997, 862560204, 754348470, 430175605, 525847313, 810985452, 55959007, 563466434, 550261102, 338754237, 263397739, 141571096, 507175549, 951704687, 834549169, 360678725, 851174063, 911665066, 962236831, 471362104, 620977217, 951564418, 981890302, 42326936, 771826458, 719956027, 18520339, 494839072, 14257118, 957518474, 903886557, 601860655, 259867262, 1068187888, 176253181, 380518221, 644159550, 876958295, 441162711, 739430446, 906584821, 571686162, 254176497, 315391516, 915152932, 949797581, 732140414, 995609519, 288993685, 933742, 351765823, 131393403, 41603890, 350258378, 843481162, 58672618, 858833689, 925718407, 1061028993, 746695721, 115579242, 559167152, 545913981, 15723449, 561693002, 956505556, 337616085, 434233213, 721171873, 177271226, 579867141, 138213378, 493040478, 993897586, 628494866, 745018718, 347883916, 374272985, 588696218, 894982352, 213864366, 264306410, 309840200, 596323597, 648058578, 760753012, 986386345, 629589192, 758174005, 424228810, 738223664, 621826463, 787564478, 805449751, 754323968, 585795038, 614331418, 216413033, 856238942, 622839178, 225559277, 903859075, 160625845, 183724992, 53235781, 857559505, 547963597, 779716553, 872877291, 577210202, 902301555, 124783048, 188375973, 724334332, 596196660, 471143125, 539741017, 271758943, 181596956, 1040033234, 673804555, 724875892, 665712492, 360992472, 567301800, 715074271, 720956319, 786192367, 620489855, 185359107, 897276685, 594198575, 521154961, 606714231, 16141705, 330796348, 824551947, 259906805, 523565713, 589752726, 949623465, 545829071, 345113108, 532018648, 11398422, 705024819, 826769205, 513319024, 928264227, 748852422, 668071162, 684243249, 754671583, 899548711, 315034861, 223804941, 377983291, 90074862, 662226003, 653633952, 354563136, 52852956, 526319266, 486219382, 639161037, 703341013, 1047660625, 95235587, 868117760, 107727553, 109541404, 532122881, 1032890581, 126528084, 257558093, 660824978, 870545504, 35812248, 53098340, 965060391, 873327080, 446094439, 537866142, 520883731, 50728390, 632927206, 1213876, 93018649, 235693989] 16476)," 0 (minOrAfterOperations [375505244, 639979254, 301003254, 33140916, 825909894, 558144251, 1032941318, 898728472, 173430912, 430068287, 648587347, 803752912, 107624580, 617915224, 821463205, 1024900053, 157677865, 875235078, 812474414, 381603748, 387768207, 470819879, 282750346, 443411262, 889839429, 1067252125, 738753008, 526140258, 44163866, 549366831, 1059685024, 981645521, 724866938, 56572470, 809708973, 251598442, 794087849, 1035447165, 374222968, 143384106, 810661325, 96610450, 912348447, 605317408, 906520627, 952145128, 263383426, 430095476, 601662221, 249576435, 190854966, 707209479, 54185621, 161830353, 454590602, 764999234, 786282873, 861465759, 312196736, 241523295, 1059733606, 982558772, 1070380500, 59414492, 1007198072, 64451059, 375611108, 541262731, 706350268, 1002859422, 72112678, 32215288, 796615428, 942637036, 283388984, 348177133, 736927695, 836392984, 944705257, 129891973, 295950732, 139593725, 499523485, 633158206, 16437286, 414390109, 548038050, 24570844, 949179917, 287806311, 93545661, 458625313, 475168052, 933118559, 281589070, 526608147, 373046668, 422915860, 732455368, 562217945, 352804470, 731866400, 433307129, 690723035, 347781363, 1066143623, 364871031, 473141952, 613795992, 336178046, 633704014, 261570403, 935946499, 971358471, 569913488, 677123998, 584530943, 331662410, 594885291, 950294376, 235242304, 706325796, 948190886, 358790140, 406886958, 40139078, 237834546, 356877227, 741850157, 985939748, 1030060340, 5565019, 174286138, 393915911, 866863959, 71147383, 962085305, 382115452, 639129627, 166863832, 911405827, 217186324, 1013262698, 588689779, 209589792, 270410166, 166626413, 731747485, 710581717, 1038595085, 673115428, 498773919, 832167406, 786806471, 761549391, 337794845, 724783949, 779065132, 490326237, 172578120, 317225860, 411049946, 19892183, 306204948, 466196539, 345894285, 548544573, 900815888, 443959476, 984382123, 324553745, 137224296, 768941905, 623704247, 656340955, 837590269, 732969049, 808852151, 662978212, 1050660347, 109569596, 747702201, 521947438, 893589771, 497013101, 907438264, 932039928, 97553996, 775587163, 456127867, 759588414, 160119230, 601228195, 563428169, 711754662, 812897158, 450486541, 161760023, 273063930, 343141903, 447523078, 310132505, 40203015, 983138784, 1047434323, 998352055, 374135432, 212691063, 914028591, 1047118454, 1029123060, 109454513, 282041584, 946406690, 319915045, 966839396, 397856684, 328197931, 717727246, 372386517, 861633687, 23817217, 120428518, 492615649, 1337199, 606888804, 636608039, 526750783, 407859027, 231265066, 4841600, 803863809, 17165237, 1032380400, 88131764, 620394826, 103550213, 167705230, 853898880, 828473063, 189633001, 574758497, 25356761, 855447359, 945657783, 732906626, 916831296, 805597601, 983878356, 173902008, 687214931, 208842246, 1010969067, 352011412, 194559772, 412500033, 571570682, 556014923, 537951146, 498319098, 459706431, 203051764, 732623279, 860404824, 1007908025, 489334734, 96514484, 988846627, 648449534, 223675946, 806203718, 275410946, 250807750, 379274377, 181948347, 469816312, 1066004419, 46326992, 788474298, 273406247, 845203530, 536977212, 1032096012, 813211316, 450167583, 687552135, 802262407, 516752582, 695031694, 5715465, 167595711, 1055182452, 355513407, 126817543, 390783432, 37987523, 484772065, 127271501, 152366900, 465191302, 977033681, 436195367, 881988050, 87487152, 351556031, 661098089, 83571731, 538901004, 776610081, 144026281, 432743398, 343695142, 905999279, 840478007, 758700899, 1063106361, 1021040737, 277693826, 682638743, 679355014, 404315828, 183225947, 597355302, 201025660, 896624587, 250432424, 131752725, 507582419, 489585637, 44125375, 744912094, 1052760210, 572936052, 415361798, 940360209, 483934032, 149172828, 917823700, 282810335, 854468911, 945264559, 557576442, 849978103, 262395590, 547055354, 186925694, 398922210, 92013426, 51897971, 898776862, 882725560, 347462437, 999033020, 768564174, 299122078, 198152912, 586020894, 610488891, 700956431, 726405058, 650365410, 485662169, 334270378, 380418220, 115121320, 1061343011, 447537240, 262482032, 591966743, 111378156, 589286443, 510209611, 1068482893, 369635521, 379530749, 663399906, 184275841, 122758666, 898065476, 644371061, 849853262, 1012155606, 154297727, 837421377, 964330087, 514095465, 1051124996, 115488498, 990978599, 992006860, 977534938, 163487735, 886289629, 100375290, 705847153, 836724022, 762855857, 415576827, 144812473, 446123406, 964529882, 472572186, 1067509707, 9536106, 160767677, 451303866, 36839044, 999389337, 1029829169, 499275650, 138506988, 1055203046, 582868725, 55813351, 869456410, 530217826, 320277940, 595737818, 967307005, 61401226, 596189597, 642315055, 444417883, 379605267, 1039291909, 1025830661, 199480682, 41888962, 906179725, 488247685, 163332069, 491146678, 691336801, 1062430222, 775388551, 1035533140, 871314322, 90540380, 813671741, 402495117, 911269564, 434661747, 468265163, 64202592, 584049068, 1032328042, 808243842, 630180164, 12577964, 340571862, 411407018, 193867256, 559047655, 247687884, 645923619, 916389003, 701239294, 360777509, 624355981, 1070651764, 77755588, 83720940, 19474695, 862107226, 837684851, 378980486, 969555501, 664207779, 615104285, 791948262, 366253015, 905145673, 359915618, 63546983, 156781737, 114677090, 624401298, 761779870, 825298134, 995315226, 177807981, 410400331, 624253809, 385007426, 778009621, 1019637130, 738676135, 140486064, 460429168, 34420407, 986487209, 1012336726, 745585352, 1040219473, 313300070, 791810720, 231837310, 342159178, 499500128, 700955779, 178620637, 1056703025, 173441886, 1043047547, 626455074, 870582360, 169076045, 828837250, 176965541, 509799265, 987182121, 828315371, 753416854, 987986258, 851384787, 838324519, 175387919, 863623875, 91261565, 501500761, 32222691, 666168097, 840171224, 943292918, 571009579, 861891710, 567727592, 460902437, 362176858, 981895342, 834534499, 998881564, 72141618, 246889995, 93241947, 837834528, 438755769, 827862653, 942748986, 921764420, 765438157, 1065201482, 570794411, 278846151, 610542145, 921819056, 567752523, 1028575906, 764066615, 95766111, 535275223, 339831876, 670967049, 811719046, 359878800, 267360669, 675926945, 903908013, 153714078, 507364357, 1001649586, 544534775, 1000217336, 911556265, 921569650, 556931977, 3943267, 875956627, 1004045512, 870936136, 583679972, 939137654, 234955761, 953296976, 823013576, 808754970, 257325604, 499136884, 958970407, 247206299, 1047431528, 996466917, 741237232, 605291069, 322680591, 206908711, 164247429, 114826306, 81214583, 974984932, 380686367, 244509353, 264761395, 441135366, 58650869, 660585426, 567258106, 891856468, 952297895, 248067338, 151508278, 409309439, 127331754, 489170515, 958473908, 567418099, 631279301, 7602328, 124692763, 108772808, 1059848341, 507673348, 835856260, 664308599, 2581531, 175429049, 246683407, 457675956, 350673254, 748347369, 1032178611, 881025983, 133431472, 312788989, 885130773, 950209664, 519571504, 495121085, 623206857, 212048358, 656728043, 1002690879, 384426193, 199958575, 742748357, 1038938644, 323526810, 306583059, 217709668, 879606605, 179296154, 987367888, 425936215, 846834891, 1055749841, 625442279, 73766009, 464043295, 859478871, 75065027, 305036527, 1038326184, 457125481, 875654988, 955028404, 913472361, 1063160649, 342449372, 737406286, 135209213, 70573619, 696860014, 1065870845, 95955242, 1010227426, 208692910, 315639419, 656785991, 631037802, 443939817, 427198388, 304434991, 479004155, 481449427, 785042399, 352497373, 779272239, 708541390, 53002079, 43587030, 605957282, 1069975007, 2030629, 951751309, 302993380, 1055588704, 906069622, 360416794, 28876800, 355429265, 213180673, 752641706, 308761762, 94913080, 943939150, 153721661, 577867502, 816193766, 389504998, 193667078, 899372593, 168250535, 169001616, 596813620, 796857574, 262190745, 422511485, 950711781, 29072730, 1066423735, 151856140, 764324343, 926732580, 249252575, 424372920, 1054036580, 761782503, 79969618, 803626200, 449857912, 772184366, 1044976248, 1063701449, 802172611, 1072015134, 559590286, 305636019, 45477942, 492673459, 68990188, 669182484, 674053323, 766357064, 240812510, 650732991, 834044692, 186849259, 646098326, 872986013, 515323556, 278784910, 881616474, 1062964941, 442069973, 824067206, 82037579, 675371757, 806556942, 410924520, 187374602, 898384507, 411644960, 193298803, 131154190, 688638558, 722716869, 304937946, 758227755, 281863799, 208817461, 701960273, 710335430, 655543463, 111191101, 1030207954, 837670815, 117072929, 138281442, 625444718, 393318516, 470437229, 590704907, 761128418, 452177720, 13330889, 348760238, 601989197, 443474058, 365973350, 800361506, 656798546, 176186074, 369582998, 3889782, 252828307, 246604635, 465921097, 879684575, 782157771, 538864995, 89319377, 1063068971, 323096008, 1063493450, 561397976, 634428878, 672427637, 207225531, 557216025, 238063232, 1005065795, 1038086521, 663985989, 200449355, 21344047, 164475478, 176991743, 797626826, 972769000, 979576875, 756456654, 2461445, 447510342, 59642904, 482340007, 288413582, 112044812, 277482885, 236341015, 181934904, 650370401, 909634989, 741143360, 714210344, 415314943, 797464552, 764566850, 613011178, 611154479, 163393060, 4784117, 576456290, 12828888, 720273331, 145618676, 253232071, 1035172293, 798581494, 316846222, 4558177, 584023730, 1056869502, 564676188, 138008296, 689508953, 227649729, 223005882, 361079165, 345190224, 3599326, 847157078, 951736009, 655384157, 481386590, 547892714, 1010512981, 658451356, 606593839, 523204052, 1041854526, 341152531, 767677848, 450495754, 401214459, 84315304, 1064629168, 566114154, 430303862, 536257241, 494657209, 875742860, 745135025, 1022973046, 286985340, 457487959, 209171868, 419533371, 158911704, 554840843, 424276098, 185757881, 974202254, 338775847, 389940580, 157824982, 201008750, 412455380, 574690499, 797957132, 282050656, 559491196, 924166305, 1037093173, 200539283, 457758705, 638039988, 455732562, 994993745, 694025352, 773934464, 40066210, 393987080, 290703904, 263662900, 1034831283, 990649748, 463968808, 896036616, 540359550, 164878094, 15564277, 231459897, 96388058, 1038548796, 296693204, 1068963076, 219910556, 682639333, 537233751, 903024425, 366745364, 652102108, 1067178388, 798012225, 40876318, 163637899, 172351634, 268309319, 342031764, 376152176, 568494998, 559860134, 454573163, 490233930, 906855558, 164394958, 98135804, 1004677812, 518203748, 611789248, 703600509, 475648110, 90524351, 513660237, 942535285, 389095598, 220963979, 655732086, 321461377, 833034254, 706583690, 1045004937, 385533505, 282644751, 1014970150, 413520578, 310170889, 739382328, 677981832, 228630184, 948614121, 574063218, 337523680, 315189228, 942137333, 920524474, 430144959, 501868733, 631674827, 391717432, 518102417, 850166426, 196466735, 255576774, 32670715, 569847724, 358843477, 75400297, 773626898, 893951327, 410716969, 708493786, 993051218, 188734754, 48380855, 423749621, 998352496, 345283856, 125762941, 188591967, 947069857, 971593949, 1047927733, 744668052, 129268588, 159056967, 1041968401, 364971791, 689196845, 956853843, 548297497, 154537733, 246865491, 126264442, 806610163, 426309851, 244118854, 852726173, 567730408, 466636296, 930345746, 211781767, 43199872, 193149004, 527476500, 994345514, 18865216, 776086803, 876148919, 695319971, 193197095, 511206919, 546962540, 688580438, 928897813, 941125053, 9404978, 290334594, 695332491, 326829847, 475520396, 809587252, 495042052, 170507501, 148899285, 705355398, 344434750, 368124925, 1033043711, 205726974, 162512915, 686883550, 106097025, 609546219, 279293876, 219466067, 519441660, 719588990, 1062919866, 532980885, 513353248, 661085021, 36830069, 1029914386, 904195165, 1021612981, 117366361, 118114922, 942319337, 932173092, 199589120, 979938929, 948576762, 762380916, 758101052, 844786969, 979380594, 14927880, 67565978, 690507392, 468756953, 859549595, 59071461, 823459449, 309104618, 722243919, 355098076, 1053894521, 197038047, 152680032, 651987315, 476508175, 114304255, 385530974, 340439572, 1055850886, 229390806, 385060663, 174222182, 288576249, 40571644, 869504027, 35281816, 512736463, 1036340513, 787459919, 162872230, 12284207, 247391619, 1010846033, 543852780, 529991792, 315802683, 206686889, 876100374, 94352324, 199327046, 880475355, 546641337, 154128240, 930144645, 563852243, 416011295, 285407746, 419970484, 1007858351, 688213193, 72219774, 960680216, 762503234, 43372866, 697124306, 81868893, 257939159, 150208196, 66702863, 712401374, 11893662, 438320153, 51178950, 613409515, 952897587, 650248673, 981070215, 489509870, 351384946, 928320369, 378506940, 943106840, 462886048, 1064631885, 810645592, 207915348, 27368626, 758260843, 569772944, 359625645, 4551144, 751781798, 234959296, 114075398, 586664611, 84820509, 907165659, 893144398, 402187065, 849318747, 878742330, 587634823, 140880663, 388642060, 868285837, 25695379, 1052379271, 840796520, 573419591, 558158446, 929026640, 1002417055, 1039005597, 1020819294, 803536114, 265973196, 234804852, 297088123, 345101014, 441199294, 782821017, 908656856, 46284488, 522711808, 14529072, 51731283, 819178544, 707548878, 819146111, 791586219, 830894174, 1026538076, 938365401, 115713047, 374777521, 1037955128, 889200415, 849890928, 535730332, 630860676, 8273058, 954903978, 737967747, 384879285, 921655980, 434720679, 902618195, 202459893, 794687208, 1017691208, 379948484, 280149343, 412116616, 936159417, 576205343, 119898458, 269766162, 840522155, 279263149, 203158591, 192162898, 44471865, 834564465, 319933729, 763721238, 388342572, 393163246, 505818909, 872750542, 410006762, 153902154, 39137068, 306253916, 254882033, 542888853, 713559927, 842724014, 546827889, 631579483, 367289000, 197210864, 474786298, 317789529, 471340048, 290301165, 3056174, 306208649, 699832415, 510658840, 994790767, 674607212, 899904515, 77787403, 2503696, 918761189, 620956950, 816547999, 861020094, 238247045, 975042935, 486647366, 683741356, 753040295, 634800431, 86248820, 728319926, 606557537, 527469059, 163437782, 392376215, 773577167, 533598871, 461242993, 984000391, 1071212824, 1060700723, 322200289, 730713049, 534129096, 464164443, 572468960, 702970431, 976402894, 432175877, 748691579, 171678466, 1001944436, 126145293, 904184642, 363306286, 66671753, 680685100, 200633960, 840623863, 555274561, 914474982, 586672624, 1042533174, 793390683, 254382671, 10328249, 976983689, 54604976, 992056569, 518226204, 879538315, 672802207, 165842797, 456200110, 1067611722, 410026699, 409483903, 244146277, 62762501, 62022251, 104369544, 4064803, 993137202, 422412628, 625653186, 1006411335, 584640612, 806135983, 692147932, 838077966, 847613655, 603327341, 773908902, 556187540, 879887899, 834518842, 543089725, 200492774, 395054903, 515643915, 283157029, 85987505, 215822340, 595992665, 391160465, 780479365, 329189725, 224376159, 400648038, 155913250, 302790107, 346164333, 553488041, 499673051, 1038512180, 86071844, 277613836, 532870371, 389757868, 620401171, 1034143782, 707312145, 173986287, 577222717, 597019650, 853728572, 931670447, 281637822, 545154390, 434156219, 367106859, 562232849, 1001809260, 1044189206, 50062801, 654587789, 638801078, 117653505, 1034802071, 609395253, 874648143, 992371415, 447895102, 815333309, 567690288, 90915305, 1065207861, 566286894, 503171277, 966529892, 788229611, 639780378, 277519339, 890416579, 485993674, 71313328, 994640353, 304778380, 843115210, 134549398, 232140779, 185356367, 606268003, 124085503, 897687243, 670175999, 709186986, 632090694, 512241557, 1071009294, 752762573, 294177866, 164702808, 12961928, 842294542, 52871758, 873359320, 1062860755, 339529800, 218113437, 984882135, 419258730, 676535348, 738329003, 807472493, 561847272, 219523087, 783740589, 705727133, 693714652, 692098423, 1063992181, 435183675, 685683623, 716203203, 629619815, 289099254, 887045837, 1040318774, 122472284, 704321707, 909597303, 463571620, 395347357, 917349460, 476873168, 921665109, 131333962, 96559937, 621755046, 490634250, 523517345, 642256920, 506502624, 860002946, 27540298, 303488763, 687036816, 289622585, 269602182, 301087318, 416769857, 985448278, 823836657, 1038740442, 84888780, 278350071, 996051705, 236634262, 68581656, 1071172331, 735140954, 860471795, 846808614, 138861415, 487618233, 304190195, 801312751, 902611582, 589795841, 1002191494, 312774440, 892913986, 880353765, 183771819, 78938734, 218412499, 160524962, 1053084730, 434300401, 395641951, 824021826, 740128528, 367086316, 485189267, 966677305, 566207592, 809698686, 223299584, 885721450, 546104269, 454940252, 817194696, 972248611, 437962147, 292950770, 89453250, 217341751, 411568189, 983185959, 1036716127, 441489418, 158966284, 843655874, 433530778, 493523316, 1042242039, 67337069, 379310793, 119225268, 106700668, 706257150, 903285787, 8850508, 302143481, 949360166, 158138209, 745568298, 369322600, 392787335, 971755388, 760048155, 1010510839, 609380543, 824919125, 387403467, 959095659, 884061873, 134653855, 80790090, 639302924, 162898346, 421660653, 634632884, 927735201, 268621085, 369489102, 595257146, 169887153, 193450543, 962324659, 763533058, 235481653, 323526814, 538952016, 606471602, 317131160, 388972240, 105730355, 603771506, 547776626, 588166242, 625619919, 199671385, 595896340, 735790882, 656535092, 803506803, 687259913, 75632145, 418895463, 416161130, 759317305, 953120976, 744663493, 777102292, 1054755356, 476520879, 757956690, 1039876948, 337816307, 597688135, 565275645, 792040833, 187015364, 1058659676, 137285048, 234015257, 1046857695, 666347462, 255271623, 272575106, 288324528, 18096673, 512139138, 907003241, 1031473922, 1011651022, 564314008, 674053941, 595249286, 810792110, 377956917, 1051365656, 119796579, 73953019, 1046262132, 165165512, 564768509, 401255998, 650532176, 311376607, 104926109, 500616383, 984425724, 285889617, 377902595, 662323049, 875612756, 315312223, 159851905, 666032283, 11783331, 410530011, 202532998, 289179381, 562547020, 104241850, 35750248, 331956560, 830771385, 886425173, 1037987300, 219529071, 471526831, 1015185048, 321818312, 802054708, 824065205, 568174748, 591511586, 1030181397, 784176480, 803506318, 749343162, 752809874, 462780496, 214697222, 174472580, 220915362, 1053105886, 685495182, 658596756, 779190383, 944994504, 516589393, 362097094, 1039579763, 118248574, 672395522, 13800027, 72131982, 845463999, 484091538, 329379327, 270999225, 401723020, 708399250, 431189147, 623527102, 76907338, 412508584, 289733118, 627533263, 568705594, 979318560, 429354467, 108748364, 638058685, 501502790, 418621895, 952253204, 533734973, 85810584, 456979346, 744136609, 154017087, 155665168, 26693015, 670998184, 41651113, 237929148, 784627115, 703821672, 923804949, 596471091, 729202238, 723714205, 930718705, 370530163, 20032864, 315206333, 241452915, 703149906, 396982016, 737385456, 709508742, 343610705, 331963578, 920480510, 487900862, 974247541, 126946700, 45612650, 391668251, 413185486, 570553453, 940576098, 807146593, 898121685, 333668799, 272119305, 533213728, 571846949, 27861312, 639023082, 613877197, 94408628, 519142834, 260601958, 980755267, 920977534, 742281034, 165071895, 936647113, 882203276, 85655414, 437620463, 611146439, 82809149, 961950306, 294170983, 119390381, 14179430, 874671067, 644634944, 499320422, 898784310, 554843520, 43266731, 594704483, 502070971, 319564458, 972583508, 117645381, 857671710, 849873404, 391896180, 1028184902, 818371518, 228517544, 556594274, 891610872, 569343810, 1059890952, 213034254, 589203475, 621271677, 167393533, 708322634, 168671577, 571993741, 748664753, 933462894, 691091732, 476697883, 117746484, 533593722, 94342906, 366681677, 241270101, 823224054, 277985251, 142685056, 124981513, 706514743, 281222439, 248917954, 229484297, 906549851, 458970734, 972522986, 507142902, 724352566, 1025899615, 55917698, 436397193, 160825549, 1049004799, 828527665, 82168838, 395506629, 399079700, 510919474, 122581465, 599319831, 804152511, 471185659, 213103314, 978889168, 301450066, 508110767, 806478578, 867145708, 619438617, 149572136, 404410810, 247517626, 988948293, 1021340973, 812956341, 745631561, 1038081758, 859693714, 956668403, 703507420, 611766393, 756107721, 415369048, 938820610, 625029445, 177057648, 22069506, 1047973305, 457107682, 480167629, 647886106, 239195806, 37441276, 322940188, 381930614, 818464673, 839869544, 293846233, 400998358, 33641790, 988100408, 655750927, 383158919, 387387154, 121628806, 496604196, 259056982, 623768499, 403822393, 215314681, 129024272, 182700750, 528135497, 863870797, 858299572, 836796776, 534317517, 813277918, 359386674, 1051151663, 295089085, 574349361, 1010523142, 558589628, 465800893, 1003221770, 839661226, 704361267, 47264653, 713325213, 396358017, 321019502, 334039397, 120243185, 132544074, 361608196, 443656302, 850906990, 874937570, 468992178, 642213052, 530195276, 959215164, 1033416375, 153506073, 267180124, 412823403, 195307632, 245980338, 584468114, 1059922913, 557887613, 82888696, 1015184394, 906770103, 343858748, 35229606, 342457675, 724289793, 846375428, 911029700, 732807254, 667128265, 679646442, 342530633, 894107604, 685415926, 951996051, 526158791, 234960385, 368483858, 219271040, 911069995, 32956727, 71982687, 965086239, 575396931, 397205177, 522208759, 754769191, 66038808, 104536296, 234372752, 719681666, 300217709, 291596300, 1005236943, 227759173, 492784678, 777568918, 61655736, 872916330, 330215069, 829413854, 676837891, 324697009, 327312212, 1038481288, 441744078, 552580965, 932337915, 929761085, 606413676, 390773688, 637835865, 898087342, 17001742, 747544442, 136301081, 993732408, 413625166, 209272324, 260936838, 313660390, 851841661, 499674362, 455312303, 646194210, 481537601, 590028967, 693123074, 138695183, 349435423, 626391581, 326669863, 1016632468, 182825063, 128301882, 946967132, 515220351, 545510593, 538249107, 269719234, 413045498, 622574675, 944197579, 238827705, 223932547, 788358919, 478989844, 854240461, 633228031, 846465607, 935120890, 84575097, 903240823, 323558584, 882683936, 632637064, 1003942567, 723684944, 238353695, 136662447, 273158570, 602323197, 230465133, 1022774901, 47562764, 786789997, 329090807, 546085989, 1051286172, 89266571, 36359803, 104746869, 832785774, 594184250, 509017992, 142092247, 188063559, 440757528, 127362398, 951089035, 853176350, 694130163, 336902379, 1017003677, 235270050, 109880563, 692552193, 878416024, 515378868, 667310271, 258067394, 667484678, 323844340, 630036846, 847380135, 550419894, 552311062, 344289620, 936327371, 321010268, 653595378, 832941011, 1017224527, 666818321, 434934369, 47343288, 631371228, 438381455, 900860808, 824759998, 307257672, 885231582, 645505484, 655310298, 1039476648, 301435761, 1063611572, 62685447, 80464527, 467663891, 445741173, 1069972331, 586364911, 420879831, 314117812, 100526239, 790548371, 679841485, 455376049, 853983330, 194364662, 299251928, 802706647, 797514944, 252593323, 936577618, 356542513, 480758151, 386115836, 585990794, 284539530, 203659587, 269767006, 79533369, 377325033, 930100613, 133052463, 622441822, 398444853, 578578803, 985489392, 622583476, 340151424, 100806811, 252697699, 682631581, 901240489, 605861792, 896704893, 547390831, 641805248, 885112770, 1048435289, 75938241, 970405222, 862514497, 577951686, 496092745, 494236998, 816586608, 478424512, 477946970, 596146869, 596772697, 628245048, 996326738, 198105310, 26702362, 109071593, 910569910, 888228911, 864565139, 605474372, 277346397, 523375393, 574540853, 329624296, 242878068, 777585009, 514397150, 949291446, 813956878, 211406301, 761328786, 565368418, 922969168, 109146424, 70343382, 187123987, 52075610, 330230603, 248099767, 583943987, 43182538, 348136049, 518704616, 1015624245, 52541534, 594128190, 748149500, 692906098, 1066084613, 882839394, 309420288, 208959550, 598504327, 782770764, 536000551, 881292824, 679366903, 84270299, 850300730, 1049772647, 607693419, 597189210, 746163182, 393930462, 567177697, 982756073, 195895407, 1000501095, 849095194, 360613821, 608894451, 951308211, 609159752, 654146555, 818018672, 740516997, 176131904, 576652004, 933877181, 184939627, 102506279, 101516591, 362885226, 1016228815, 873213373, 176165489, 606293272, 1028350835, 582814078, 1020809490, 254553847, 772389475, 766227874, 373942706, 435359339, 856679939, 485518357, 912696353, 34320486, 78850479, 575049779, 575967036, 735534086, 300497548, 777892790, 885745564, 306704070, 323171692, 432495763, 675445090, 824427904, 129109069, 551119137, 778171733, 785823608, 651941844, 244526473, 506856009, 389975340, 338111786, 143028616, 36247774, 393500016, 20431209, 772306252, 63486725, 438729804, 973146725, 342588940, 553519064, 214149102, 411400566, 913073297, 90981349, 106063898, 810447994, 885206617, 121493852, 400110784, 517601950, 244136624, 498522973, 594282710, 389038284, 350097464, 137289364, 77218542, 864831005, 722514872, 546266734, 259525429, 588602233, 790763590, 48592629, 10403111, 777772875, 24823706, 1073171450, 368019662, 219513835, 818894844, 260268238, 73559832, 699307739, 235574575, 986578063, 247415013, 670209721, 691503119, 178773436, 682751800, 312277863, 832552248, 74847397, 413492077, 427363637, 613524096, 678625769, 287209100, 397978782, 474865037, 786660736, 858429054, 316355314, 235286720, 429568207, 781575670, 101562102, 344929540, 212209612, 352935012, 839804793, 477650262, 582564559, 25306830, 472165444, 762092334, 717314351, 950870428, 465243053, 96629563, 80361179, 3093378, 1957666, 33642765, 109732430, 555401648, 204459261, 862952819, 170079421, 1019288651, 442295421, 129313871, 1009863003, 298973211, 367269346, 258055160, 342808147, 354544008, 874357619, 374404480, 50826608, 333769436, 122191131, 981226223, 592482879, 748604631, 724775548, 82570329, 970926768, 303257504, 234977033, 77607259, 704856217, 237359358, 821843096, 1043097660, 464303337, 712202445, 496966565, 300660310, 682596288, 423056391, 87383513, 32379821, 182472406, 203563717, 827424150, 986563504, 499214140, 825405684, 653748461, 269107647, 324932785, 387404864, 762644984, 169720812, 992156346, 345216562, 383736216, 1039585687, 73272058, 560447198, 801609755, 82327904, 596849128, 933007412, 788299453, 210401679, 631969567, 149935184, 482364006, 47625986, 184147116, 873783891, 479419151, 907717813, 499386351, 264432752, 205438083, 165886705, 917204892, 1036482879, 1067343358, 957401136, 496965831, 1065789706, 1061145626, 923138778, 674758706, 177441006, 268494361, 412041348, 945486813, 931145622, 636089283, 470134947, 756634704, 227867917, 872301113, 246253885, 215811352, 980031231, 55019941, 822571238, 292098397, 963611345, 753508413, 23183248, 808111373, 311102583, 565414068, 801147374, 120764327, 670378825, 211894833, 203110878, 412580496, 632626278, 1068094196, 527286587, 62104724, 387412547, 654523114, 967008101, 154009507, 974420648, 103217989, 1065536622, 905855250, 695491464, 866818476, 690366857, 835360581, 842142110, 418559278, 484192317, 968187823, 504433969, 895991568, 164106712, 206154102, 252535624, 842291077, 31236136, 566669709, 527581083, 945945137, 1050593948, 568147762, 470650115, 1061160887, 803167558, 758438693, 310584317, 806943086, 584347914, 920054489, 853862332, 1031351098, 928594165, 117802981, 322297974, 839087481, 778238033, 873386197, 336144954, 947830531, 921528818, 913131706, 660686399, 147199149, 396025064, 387063538, 955880539, 329635031, 54261608, 438836115, 815651901, 618135654, 271971239, 228078812, 182133147, 779993129, 311160597, 591260531, 274480750, 1001478778, 515623063, 1002701086, 675639944, 883756865, 1043964215, 248637148, 665855354, 390018481, 686130242, 431781602, 662422936, 739650216, 25970045, 800594465, 163072570, 353563421, 135111712, 542602009, 738856494, 51238940, 653278546, 205603353, 1010572517, 1046120311, 411610313, 328545893, 144590677, 587452735, 1059812931, 1005332147, 621228399, 531655457, 722656565, 140024015, 724391641, 384160898, 597075501, 327906411, 765842843, 809226971, 414590800, 320450428, 551183338, 287579911, 304919248, 268634176, 293738507, 190775879, 526678656, 38171082, 72075958, 895120662, 798108738, 383029682, 283083628, 743653977, 641037457, 808476559, 664229449, 727846800, 190580933, 1063907780, 911362712, 1013717839, 290799280, 590109403, 26910180, 620267112, 332277845, 345473727, 382296181, 93479591, 873175863, 986493524, 168058455, 33205604, 347189624, 120027403, 551027683, 1032504143, 491220647, 652807044, 770104384, 103755174, 317867667, 998111727, 298410196, 552398990, 852932297, 729094451, 841982393, 763844372, 509000797, 44364263, 658418865, 949898410, 1014424627, 747035177, 430519592, 431105098, 837336681, 315778233, 853903026, 747425654, 918054706, 601005624, 749429453, 388530983, 633632074, 244619747, 978508926, 562055200, 912336224, 909257212, 934817332, 119463253, 517037181, 812663308, 754867588, 29603025, 554829710, 856355401, 515475360, 439100263, 115817845, 434840739, 32515137, 1071392268, 313061145, 936683762, 209488353, 671709489, 31246269, 780403768, 689173315, 562234421, 589579962, 954784408, 700563876, 397694307, 202534852, 625729891, 899987858, 118755682, 132541127, 374783833, 915789950, 688545744, 300346187, 1061392849, 820563022, 709240821, 416516319, 208697279, 433580198, 29451674, 1042803826, 255151114, 201227113, 953407403, 152535832, 989182847, 60442620, 728362996, 50043854, 566318981, 703489259, 772587797, 462097140, 10999976, 62986276, 932473505, 80104914, 533492961, 573096965, 89540315, 31416118, 301580294, 1066634070, 202013054, 624694819, 879274017, 3908820, 753693577, 753910728, 789707728, 893617695, 795566266, 347956250, 22117986, 351608211, 592103060, 879858041, 205137698, 431277867, 120836229, 665615643, 659800914, 657123098, 1045927827, 426046905, 888302748, 303204287, 675665875, 788196642, 843031525, 882986365, 23524878, 709752047, 1004751389, 385022132, 1004192152, 598999759, 276747632, 644551494, 7914755, 152866258, 839666846, 858484926, 236047983, 707743796, 1016816983, 563848824, 905883868, 455751160, 111303887, 859528059, 1070169364, 671051096, 670204604, 822517078, 887998114, 5128710, 293038935, 255619251, 825254690, 537939345, 950573930, 172999574, 988981176, 915251844, 640145623, 727701925, 428499228, 560035391, 1069033658, 564355368, 365517832, 10406575, 245496937, 726906371, 248508103, 757793818, 779067204, 573307014, 625751778, 121372447, 229116851, 66810900, 730669247, 25317716, 302114615, 862155845, 651030816, 462565027, 963044779, 1067363501, 751384968, 269040243, 696008274, 646591397, 1017215276, 449317375, 905091422, 98587968, 133121835, 680564995, 175607879, 270737364, 401908405, 6792469, 619244041, 732291976, 73610873, 399975408, 1064539343, 1020014526, 331073231, 216664193, 977735555, 73682282, 624592545, 235721422, 671429985, 781837097, 929503241, 578524303, 621241451, 201405282, 264305570, 572724861, 846498645, 92516417, 549920164, 377713093, 330436917, 192901211, 546685734, 354092010, 683794715, 999468440, 150012651, 844705197, 1037772080, 37493424, 311993961, 899976228, 265349458, 808524784, 834575419, 977096408, 687005490, 35807282, 243815800, 77281579, 145419838, 127030105, 535583352, 1025361502, 1005264427, 119884606, 398019341, 769695140, 294844702, 430010084, 200535673, 855294465, 228846465, 314415566, 125893884, 325332969, 26181014, 40562917, 3405202, 486262287, 72315747, 609297214, 53590749, 590395773, 914731075, 1058863102, 292726953, 488340899, 486324978, 669752206, 446675960, 818513221, 431104114, 74840425, 308409646, 157013156, 839138309, 843380990, 658453460, 956891589, 327738737, 330306981, 935289078, 704365390, 68565114, 948512980, 729003125, 378230581, 906420707, 191345626, 499631912, 164341004, 555679403, 991233959, 112148412, 13171246, 657804758, 216097062, 857514572, 1002058885, 328882478, 165955333, 831996391, 348420435, 459923707, 430981118, 166506866, 285882611, 94328398, 990066700, 338553813, 634275873, 671830526, 575649243, 952357522, 965704725, 888992315, 1064876705, 156498391, 236449029, 940877739, 635755228, 944084561, 85623733, 100278340, 248717973, 860991646, 622568992, 397570975, 443566522, 982856417, 589392807, 284199637, 880302988, 597870625, 174792861, 245648351, 920622952, 94276193, 589211999, 486193751, 155785693, 416483969, 549550940, 430811287, 151513626, 434887685, 822051225, 874935211, 838928307, 86512458, 165027400, 192275292, 260693350, 916415740, 177771207, 669841347, 755085095, 254420639, 741188402, 188266810, 950324832, 822450786, 320085634, 880639048, 1015237709, 716272682, 951188918, 959539199, 234181393, 548479533, 240225615, 590654871, 949332480, 224464946, 15347303, 97367344, 990351133, 766232067, 16394235, 930842058, 277088768, 442311002, 1060126837, 889725424, 250920354, 721030644, 21140493, 966125074, 885489298, 538646966, 58873766, 706375475, 150122297, 950759640, 521373550, 8957442, 235308732, 133450399, 709495935, 828908389, 347882658, 302055870, 147372136, 989565049, 687780083, 238669005, 141562707, 171379343, 946897778, 133288811, 549757364, 377117303, 420021964, 807411661, 284806413, 161038732, 27069466, 798463311, 906344262, 662033307, 912120250, 181335612, 864708964, 467196497, 733256683, 537861779, 310102893, 585121586, 228733065, 180613270, 766086037, 198198885, 363526094, 989847819, 310004422, 513997769, 256911781, 829633196, 253013317, 550351464, 831032352, 749092813, 257209316, 153761338, 316338033, 283050110, 983134341, 918959277, 73336102, 838989348, 316266171, 1000868421, 262688090, 964992282, 262154031, 376363227, 675204393, 995428169, 424759542, 151606009, 525417032, 13806097, 472470226, 996199091, 317112100, 198873790, 698137209, 284011960, 108144875, 315430053, 92598296, 971717797, 818445458, 408193077, 66640245, 1022485862, 700203980, 219121963, 631923590, 97734795, 540424040, 1061164571, 786215941, 644534882, 63988235, 41524528, 446615334, 91681977, 618486161, 759659329, 351234854, 1008795059, 370176163, 311599068, 178313514, 204356528, 648655998, 10147521, 83242311, 511183236, 155198050, 699310455, 358155560, 182247419, 149295496, 1057833685, 417371091, 573373089, 594908900, 901099977, 983225280, 329242366, 67225039, 385730581, 467945305, 432277828, 975964788, 737815909, 678549082, 113692400, 472905556, 201773487, 952912842, 328492972, 393893512, 80509027, 927581586, 88879893, 593363107, 1043009045, 377917575, 907315048, 719834439, 610327154, 1055194045, 183073775, 163019486, 246798308, 165452583, 280014488, 216043648, 769060396, 284551888, 831491594, 848172000, 406515831, 466940223, 899799432, 485489867, 922403046, 374792409, 899249300, 351123143, 34102896, 869118802, 660447118, 1060170692, 621358601, 104150153, 107790298, 18424065, 618111062, 78807923, 625888557, 957613503, 933024338, 733764838, 781820807, 143914649, 616063492, 313998536, 150438913, 5545761, 606728364, 699949409, 942520134, 638776748, 397917358, 639944346, 968814434, 127340037, 704556562, 816633780, 10293489, 229344989, 843827847, 1025978593, 238860953, 72890861, 284013243, 42166167, 828113295, 981749288, 557009166, 602699876, 190776913, 69821617, 1016792042, 216398482, 1045114066, 1017513229, 733240530, 201002327, 588210786, 953930626, 442646937, 617945317, 780659725, 876606417, 844872620, 923453882, 706427393, 699000981, 22636350, 450884498, 299335311, 392421877, 70488526, 1028841694, 193305125, 777999612, 709721223, 175307437, 976536794, 534565345, 997969436, 64822015, 9105295, 410200603, 688457153, 122192590, 298455617, 1068462047, 90935368, 1032610497, 558582864, 1058709373, 801517384, 335692359, 23877067, 827338372, 394777777, 701842267, 218795079, 555889945, 373506629, 961115551, 830558746, 986385219, 923642749, 165471987, 921389304, 218233098, 798698467, 552168906, 348629088, 547008683, 680121332, 867735932, 131732264, 370645204, 226741918, 260630302, 312165075, 817176694, 420241401, 1035118299, 242327966, 583721222, 540975159, 257628816, 118182716, 408598661, 686500884, 248699085, 1050714857, 232438766, 194153976, 430420201, 227544154, 402224915, 744633254, 1071255652, 882523458, 954374703, 507874820, 956155746, 923728770, 605090643, 677259566, 457341190, 305669441, 1061167428, 583319922, 139263478, 697577218, 41753674, 538971102, 485105510, 939375959, 877581822, 1038520728, 62789328, 614447394, 373327409, 665944486, 507678299, 108474618, 350430840, 408267797, 302895252, 358466832, 749236017, 523279558, 328503452, 680015517, 19205056, 781469390, 381484143, 532678196, 623282863, 140077590, 947360144, 864914423, 381915575, 762472310, 33711137, 744460128, 662787028, 1058317504, 269603010, 662012201, 315229992, 558049365, 35724396, 718378279, 103083990, 672089627, 707502488, 704768846, 773139530, 706474896, 249450143, 957030104, 977678029, 938803004, 927579268, 89283526, 759348388, 318128522, 246789285, 709108450, 861657974, 118032649, 443791817, 299213787, 961861412, 957005536, 120540250, 786610634, 562009232, 669004650, 363411916, 777735718, 848540377, 327406158, 1057392854, 974535233, 1020828507, 163875080, 27026364, 1024563059, 979955294, 576790857, 542552664, 866365304, 874214661, 605240212, 479927968, 644069126, 979155550, 340441971, 666916843, 248531951, 684418364, 1058584045, 264563151, 799295869, 447917104, 950360824, 753241739, 317842970, 736794038, 603517230, 456755980, 154570492, 884692645, 174065840, 439204531, 931814832, 261992962, 334842663, 784545631, 1000630826, 915376507, 846246787, 521114777, 382044544, 968490299, 61336429, 325512688, 456232256, 837220709, 129216778, 878349978, 661185132, 266731932, 757752766, 19633896, 816404526, 49398896, 51160623, 206474705, 940880317, 383047794, 472596772, 394805822, 414740792, 1053432014, 336273212, 1030267818, 508879601, 865114063, 459778340, 283999874, 798135087, 778134120, 981376274, 28371788, 487124145, 800283759, 363933913, 1031732485, 971989725, 232936437, 904467588, 276072201, 199277278, 118492091, 185262787, 965840543, 569641767, 651018463, 282839484, 228534840, 552785397, 944989430, 795683896, 22727983, 623443367, 39185078, 823211784, 843137210, 416051220, 245722052, 358563041, 68006471, 402881999, 587697964, 426520233, 820816759, 1055482656, 44120313, 381361888, 666357721, 894118116, 883107224, 1013685436, 441625791, 602939438, 196861511, 663975145, 410433790, 481157676, 60561292, 801887892, 175887267, 706860362, 680100199, 286659946, 829547894, 1063948112, 307860385, 529005424, 483629990, 214419600, 130426819, 642836782, 378584345, 447495045, 877265316, 289303056, 21410604, 936898437, 162201639, 695261443, 623951419, 100163525, 1047084301, 581703374, 614459170, 664370352, 3151715, 387348424, 405943172, 172391656, 806582504, 359650865, 492872477, 69377687, 704662995, 436103305, 1053137035, 65698765, 48643088, 202702641, 465944923, 113654267, 658820807, 1024796561, 789271743, 1061205846, 750143178, 381390926, 454134473, 620939348, 245716554, 855067919, 471627741, 726315452, 210006895, 765950340, 214119783, 24022075, 570716860, 1026115543, 494381063, 327481158, 425832710, 764792839, 523988257, 330562672, 766180102, 714932361, 1023118365, 8360804, 274423288, 559251172, 62242827, 559683343, 119902109, 662564809, 941156799, 381680053, 754992094, 311584291, 267246421, 319710149, 36661046, 105492776, 613350597, 396891787, 629136076, 409725711, 1049146017, 597414246, 922275073, 877448654, 632309503, 134337815, 949567295, 821731274, 959984262, 315138827, 299940237, 104486836, 710917946, 681867519, 236646059, 313382739, 832211322, 407305804, 200911303, 339434082, 597851038, 53119131, 155679030, 813486216, 715109308, 350660307, 635100442, 598284153, 186778915, 951195798, 321548434, 574727605, 959516380, 881047938, 1042906372, 159196771, 732837914, 136743552, 599066934, 1060711668, 434408199, 654025809, 501783964, 523781660, 335584879, 585876840, 759165403, 941568835, 358726008, 928067449, 1015535720, 1023668657, 13943702, 542484143, 71722503, 321285959, 219284763, 113917583, 438316671, 594722815, 777263975, 348107025, 620684447, 789667195, 258505394, 7447587, 787018246, 259147150, 765975540, 735879202, 299252644, 778248247, 585677216, 752791367, 1041407970, 110547029, 246768794, 782264449, 978692162, 295197098, 435170317, 1051160562, 689977780, 686216375, 128193058, 29922081, 584812319, 290915101, 722716313, 393717949, 357402163, 567934694, 590399326, 232390568, 472619878, 995321972, 395458546, 974767690, 34584800, 320129600, 802330078, 422810314, 610826165, 967181685, 174999143, 260131392, 693203008, 323694855, 931051324, 57350018, 865942325, 664628158, 558838146, 750347285, 438499063, 961331947, 593053589, 53636455, 564604286, 581400396, 286620698, 173644378, 305614360, 593900708, 679069793, 1073549689, 129444135, 457837723, 737101159, 692282324, 353751138, 621942646, 495376664, 74328631, 274646811, 201190222, 807433129, 1014261376, 569952231, 360231015, 688748267, 582914131, 592507027, 197474885, 146160341, 726369628, 145946803, 676195761, 679334186, 194953761, 893449124, 470435062, 840895009, 246264370, 803559819, 36781598, 68488997, 838406178, 4072337, 503384129, 388843899, 929852504, 113307514, 160843338, 6082502, 505334043, 631288966, 788956190, 254642216, 600715752, 1012503217, 898060581, 311989961, 813178594, 851746889, 552878875, 210410669, 554437646, 374131121, 1002534772, 1015214071, 72362737, 358679945, 810413634, 606719849, 913395896, 659058692, 311617417, 277567945, 727833255, 474901730, 251877384, 680615555, 476332469, 543957166, 769324037, 684070097, 590265697, 935709080, 343112525, 811085158, 449104828, 956552883, 742349622, 933320256, 63563831, 502816538, 846636372, 946516764, 221447710, 87492841, 977296692, 197900832, 11813685, 581011139, 835220192, 771760603, 457130697, 808388246, 841592341, 866068154, 354548782, 108893378, 1035617788, 166921983, 774806082, 80251935, 160231954, 958536219, 200581246, 979618348, 117110538, 969073944, 128536345, 1016899224, 609679376, 953725962, 375099336, 350189744, 472869543, 381436985, 67332742, 319449645, 922763659, 772097605, 324394070, 1014345834, 948370737, 240758811, 1049277092, 1005156075, 866315986, 184904942, 47393135, 808366633, 103883464, 776459660, 519614771, 664283297, 951629671, 91355780, 866763897, 132404119, 188702895, 91585017, 630187663, 650545292, 304882853, 356427858, 613285815, 641790964, 979141290, 814805840, 970146133, 753168841, 852560148, 590370457, 46383699, 1027355660, 824372097, 138730381, 671640759, 1014671571, 766446773, 760078968, 779765334, 231634697, 780451812, 385086614, 715316426, 260145810, 142403160, 212021927, 501683341, 504772423, 223975647, 774412208, 452547404, 353058140, 966164594, 979702682, 284259639, 170221743, 958695859, 227417490, 493866271, 1044814656, 430470425, 281477037, 737338914, 412939993, 709005041, 135220114, 683339312, 371193307, 531698768, 591739524, 1059489551, 395143739, 574814850, 228961499, 944588205, 962601049, 553550957, 57906023, 60823871, 729152529, 845682760, 215526204, 766076655, 850901523, 735609647, 656381403, 487446904, 470291388, 868021881, 111705483, 776618298, 835805411, 647878303, 400647202, 299512044, 699640056, 356594583, 81583178, 601519051, 860636231, 170332065, 418899415, 703374673, 786606113, 911356508, 291663834, 146965533, 370402978, 372247438, 513792083, 894247140, 749512138, 890004516, 449447119, 1073382863, 374242725, 477325222, 43680753, 912560704, 374977571, 317992821, 976935673, 258324551, 608894702, 537370302, 896407432, 481428737, 833124962, 775288036, 19471351, 518967288, 83596001, 795811262, 420592447, 452783485, 556878156, 581761002, 643034186, 438883363, 138862475, 867716372, 419022001, 274209684, 830210783, 534137662, 215579807, 746134443, 20959871, 321532822, 353757791, 500512071, 27351848, 1073446052, 799254950, 100719436, 803248605, 262954345, 500743429, 967705152, 863229787, 919928187, 745334617, 257105022, 606423950, 108102025, 136406847, 437260787, 587580707, 914740091, 139427047, 864215906, 63503288, 358421800, 359555286, 1033036913, 378344677, 479961887, 424197467, 792829472, 395003139, 443769864, 824334477, 306742252, 486465338, 411023690, 291945466, 569029639, 540784258, 200205378, 805018347, 245416865, 76113950, 505503516, 1002785807, 439808827, 212868688, 2782181, 117400718, 407020254, 663301839, 700278177, 411170757, 610556544, 399184635, 439772526, 127264823, 959652832, 375671581, 63873313, 582075593, 651207209, 998509440, 123497011, 988874489, 409010687, 857884165, 623241363, 1002990517, 181482861, 1032246913, 512154405, 125264657, 186678660, 594945096, 891559698, 851439789, 850274534, 679072902, 543443097, 976177314, 189939009, 817042846, 337289743, 702926849, 54572121, 379592946, 755707172, 757392594, 897956645, 679553208, 763674852, 481272347, 1073324199, 259033598, 4518061, 1005903841, 909686010, 717664844, 911185067, 192957199, 552791404, 199170793, 135878199, 296942399, 334219397, 140162699, 796803480, 502446140, 52033836, 1037013201, 299403249, 392511857, 508410492, 584790, 501493623, 899848960, 429241530, 238330282, 722185223, 789484053, 807148782, 331974784, 379945772, 1072978277, 466860529, 342643526, 803113012, 638699329, 392617937, 275964463, 897899038, 444199093, 888673364, 557083961, 790977498, 912684762, 1054775605, 190217737, 550316754, 392844048, 42088332, 484767433, 300488425, 787310348, 363673596, 813677301, 685990922, 180323656, 139192326, 1047565329, 484792832, 1031948738, 468886977, 992537348, 1052883400, 209810811, 279588700, 893838938, 218394416, 968835960, 222330486, 917399233, 330297661, 374980708, 706173785, 631130295, 504203462, 733573145, 285519586, 280257457, 226053994, 912204142, 617557274, 1040685354, 1000809812, 421826006, 757980300, 999262028, 545350256, 516393713, 718610415, 1050779995, 900876208, 423178823, 259872652, 245100286, 894396667, 715055208, 148123628, 761477831, 55633110, 311069407, 831855343, 511762737, 676094135, 874795701, 540940193, 386372058, 780149143, 665758842, 1069873699, 955120391, 188965221, 517647439, 801308413, 1028873891, 108704211, 826576310, 528247771, 979591648, 430903698, 366005693, 525505489, 708425139, 500483255, 543974793, 615073069, 569218076, 662723988, 326360647, 751068718, 940387975, 964223809, 406930496, 468279042, 822650278, 584565898, 986195956, 242760798, 574409393, 512783161, 687549761, 327987556, 458110922, 434662929, 602537699, 880752543, 936468602, 9158912, 775461637, 1003505747, 486368056, 75815178, 770586259, 806436722, 956616206, 503880414, 407722880, 230875965, 795867816, 1001251225, 269569393, 893987097, 329071087, 686651199, 704253090, 220660589, 521466126, 103820435, 816921747, 688755104, 602894894, 21253697, 513401246, 897805818, 425697711, 961727809, 618926925, 769803904, 868237095, 119135749, 646293975, 782008830, 820781866, 779974046, 442291018, 706588593, 245040674, 436708128, 389487971, 199314025, 394311982, 236440326, 176477592, 767495011, 242282985, 848723641, 495386752, 911256930, 691173335, 291952757, 478389149, 1070548389, 466565741, 666104530, 933510479, 315106155, 935281321, 242204387, 191679081, 606265876, 643563683, 154336043, 125296268, 1034610642, 212486302, 988416244, 955822340, 504788606, 827749561, 294346097, 194515785, 279621127, 634767964, 411582305, 735386897, 911572774, 969347056, 43618036, 560943966, 893751857, 306346098, 460236000, 869925074, 864899529, 835760632, 216601008, 420599606, 814471868, 1064504324, 484415967, 125194711, 550359672, 209351688, 410949643, 429181089, 423578637, 1025354562, 992543141, 896957229, 960628474, 1073087935, 222590450, 278561706, 343586294, 1062180468, 809952019, 46061897, 537378666, 721233004, 756860068, 259747332, 1031180273, 800894742, 548882228, 545911678, 9313599, 393529221, 5703228, 282494470, 341107842, 750867318, 989268111, 871450313, 585990212, 583534616, 23275978, 330604935, 157070475, 290249708, 313475966, 785731810, 289218928, 668914537, 173206493, 245449034, 660911217, 600646954, 299121781, 694447012, 703152222, 796359613, 258976950, 690076401, 751101663, 503591027, 255540864, 305907359, 658687808, 160883763, 554610554, 331101547, 882212568, 664370776, 1045672372, 483592255, 491636052, 780405051, 399348498, 693124162, 238988628, 69221506, 189572007, 632863198, 471256476, 673943223, 1007852480, 982041344, 950160463, 451954271, 656293674, 642421098, 946691518, 736942899, 5549707, 226504222, 163800366, 342125476, 386703396, 272901011, 491355983, 516182463, 751313582, 446185464, 993971333, 713510150, 885466847, 323940734, 629317660, 652020086, 270692268, 870630905, 371158610, 447290555, 192020913, 675191231, 108507264, 300296777, 80375443, 31940343, 782809534, 869772452, 120985845, 950184671, 1041934379, 392532266, 614636860, 67371485, 1020821353, 781999351, 1012639788, 881708396, 893579477, 472186943, 43298927, 85687800, 141113211, 110172637, 307243074, 746151268, 118872848, 660756070, 860441763, 400688486, 362635978, 695773239, 932925924, 779175330, 193743668, 599469129, 340350822, 176477148, 1045755590, 490426420, 248214047, 918470711, 128432240, 32332439, 552846823, 407748066, 42622859, 1063159029, 1025184856, 727223446, 353796576, 593378756, 1023348738, 770347564, 368403241, 898320005, 746419629, 1024621616, 150022544, 318021831, 551097834, 896422362, 711518366, 653551680, 585270018, 1001540830, 47449238, 64401897, 393543981, 346455280, 520525117, 687407527, 656266358, 526435875, 145462573, 908478813, 393041061, 516965413, 425868610, 752841082, 7887545, 1062560397, 712136347, 1034911301, 913972118, 721002469, 269486608, 472631064, 8181818, 1002781880, 920763139, 872271667, 932363071, 337163339, 360745426, 140466304, 475935712, 504746090, 509913629, 569300576, 208526006, 1038318824, 244647084, 442074338, 157566101, 264603154, 817621188, 191920352, 551835323, 757560085, 506001259, 479417002, 59978442, 188060407, 802785608, 566325697, 318612280, 868950779, 489190275, 23253028, 437341872, 386133421, 887196861, 27666490, 56553511, 640835135, 450360854, 554075043, 903833255, 833769101, 669752920, 218585035, 70231737, 926478496, 466634500, 183926844, 1020518658, 959390218, 993423281, 136373300, 167041857, 323123837, 820540170, 283926894, 128370183, 227893542, 868119782, 200803348, 589100704, 318083275, 568090892, 1045513890, 455375909, 803709860, 595744171, 638019269, 1020575327, 1043571524, 613529310, 957828754, 252893349, 26799000, 807343877, 675628234, 758397515, 22518075, 747607004, 347347910, 33022348, 303962257, 93807280, 470417778, 439047422, 494528457, 335831657, 713613294, 66336741, 269224237, 899529356, 230684655, 935075556, 708150211, 514724363, 977505112, 431625393, 690724316, 556693487, 591400028, 563467334, 466497945, 947925550, 683373428, 578803941, 397046645, 115175157, 855380635, 564434733, 725185104, 282644202, 5396848, 848713092, 334883047, 332233049, 626655695, 326757730, 812878731, 1002439406, 332529823, 695143694, 458044804, 620701110, 678131702, 923191125, 704268192, 724387157, 157484778, 704258035, 811643564, 1064763045, 582363804, 212953856, 478787795, 194887270, 166912636, 1004590755, 396330701, 545852393, 366922357, 788446920, 903453642, 71811292, 958189787, 454246455, 169947134, 429120962, 144103062, 968596876, 483775528, 381626385, 235553857, 978427616, 803049759, 789233578, 196833475, 353585665, 929382125, 141492369, 420357085, 82729880, 925613822, 981026805, 467099037, 115601918, 320900240, 822802228, 1047075008, 303641845, 593018665, 995436343, 791569733, 448915436, 339629244, 208713010, 1069844657, 941009236, 263696149, 242541405, 185635174, 57634834, 62613680, 748076266, 522416363, 702260673, 404847486, 805278395, 599028602, 367078023, 404089086, 171807047, 310808677, 154520418, 786190983, 1053215403, 320908712, 645541359, 797092579, 872595979, 1037903226, 1052873632, 246257258, 614690945, 59420934, 692388636, 563877622, 660653585, 539440328, 110124774, 120586869, 358814515, 487449115, 102202949, 799495003, 363183808, 149196775, 958804881, 65685065, 55849836, 962612304, 524734629, 125966418, 259667614, 41721211, 713780359, 1048990520, 735278530, 125847118, 797032578, 769398932, 204680166, 828729249, 429071212, 499109177, 24589464, 342316749, 705130567, 7599191, 124009297, 605047568, 157376226, 561668252, 250329978, 120773097, 562638102, 970984454, 780789134, 923792785, 562302803, 329357659, 916369943, 260064538, 141210133, 866163589, 625373598, 779457128, 406745970, 503766028, 896596411, 540397723, 898328594, 258624037, 328464961, 813718701, 41828091, 867745721, 868161036, 51129066, 613379447, 260204111, 379808222, 768747956, 269913928, 439072120, 71811886, 950723002, 286585210, 384988845, 489822130, 299743884, 129992036, 117190547, 400313598, 880607326, 859957726, 277092383, 28091655, 980625787, 861625195, 492467077, 116060267, 969906151, 591836997, 496227488, 246795902, 358401538, 5637651, 709896818, 151511784, 511272999, 77880424, 328440304, 33204561, 998751133, 61592169, 634497720, 792177620, 129475297, 789017207, 1042758204, 42793106, 603569691, 60687820, 497823212, 1059578835, 518199024, 407181616, 1040315369, 165481002, 1024624369, 1011210768, 91880232, 269702872, 514949074, 185670668, 1047283265, 1059289674, 554404924, 1026815746, 947843687, 985537008, 274748090, 200433731, 421689242, 77266557, 137754928, 858162134, 319066794, 599197782, 672902208, 876538395, 593584729, 954681513, 560142677, 558002065, 564515256, 214362917, 870902104, 447510796, 870111381, 261065103, 269913214, 546953560, 1036710490, 513122860, 1028515471, 458035777, 964751296, 711328115, 223604757, 249763791, 970591979, 789030496, 419931935, 905040616, 156660908, 1032408305, 1032008973, 628250350, 972873421, 243260787, 509542853, 768972917, 157908571, 796004702, 214055822, 818203778, 918059242, 1010692381, 907972369, 594046861, 740323952, 961394300, 134967741, 300539492, 866882403, 814626483, 5624410, 861740861, 272209600, 25318269, 25644444, 816824928, 713405347, 545116701, 615392734, 566028753, 479377499, 72524596, 90940345, 104505635, 555005252, 719563748, 967439869, 529812840, 889679078, 847762202, 1053719213, 835179930, 309047482, 471294502, 699986844, 416834661, 377089343, 193530703, 929794430, 169551940, 716037063, 627406446, 534527486, 579672111, 360811890, 1041593218, 685735411, 212493011, 112763075, 753959400, 166751530, 26021246, 443812992, 383580657, 613290064, 830770635, 334493459, 543807742, 727574771, 492915160, 89151631, 619014350, 253819266, 231006561, 9579490, 670102414, 204142363, 8625031, 569680797, 341428378, 86905705, 566853752, 618505354, 893994008, 961381215, 826322610, 227266122, 332368042, 604516779, 28915398, 888330878, 1044063557, 373637917, 789334281, 199196609, 337877624, 150676513, 744045554, 117778767, 543335753, 845034983, 729252144, 614994009, 557805361, 238024917, 633872075, 393958604, 48652496, 724760180, 396318303, 370981768, 269094416, 413171775, 652673043, 381721763, 878011977, 771840746, 323771953, 345174966, 855700871, 421455570, 622343398, 182164864, 332515767, 445679102, 702911566, 986413123, 49558964, 229568524, 608164711, 1055065262, 969298443, 1068794767, 263659416, 664088649, 322782523, 975966630, 495340068, 388882397, 444294385, 143735050, 549903601, 761611068, 854258576, 417697595, 795317739, 754659779, 45572263, 737223241, 335861245, 794636231, 59917955, 1025683507, 160128395, 37728381, 726088767, 378125488, 768080410, 741218548, 694018196, 519550703, 873529750, 1027823121, 983711563, 200497402, 212878859, 655158396, 263697098, 829827160, 60844672, 571931087, 848078709, 255182352, 315312289, 418794382, 760340224, 92728375, 593912015, 255727898, 965062826, 741593775, 786715439, 33305562, 1014860332, 286544589, 273526885, 589130915, 712286676, 211635277, 345451232, 274025094, 177101533, 965774431, 339705416, 348717186, 478579728, 420027997, 333754255, 693666025, 596683907, 595950654, 910681307, 655353195, 405646025, 40080522, 901738624, 150829589, 1041095473, 465682869, 871295300, 628778437, 1037692891, 331749306, 910499834, 383482225, 539338861, 331325700, 867376443, 489555931, 1012251461, 195597685, 799108907, 836828443, 249409039, 876793285, 25649710, 821876116, 1010937347, 929932899, 138631828, 627966882, 896896551, 852496758, 413341605, 139491630, 451478886, 625118523, 206300753, 877219108, 736247000, 374305427, 188951081, 162824461, 537936197, 599494272, 102142404, 725891172, 456947806, 427948914, 703738398, 394995802, 196345596, 368196493, 713899492, 74478784, 773446364, 426242131, 828900525, 342149639, 246628059, 714248744, 69989912, 993808584, 595809652, 1016084408, 28477360, 276545655, 405386790, 435858466, 192928939, 869111461, 316722148, 315796197, 86566453, 131562929, 862723014, 230501663, 1060148637, 814629521, 361934944, 3945969, 685070191, 442644338, 907895718, 508832903, 543522769, 278675114, 564320831, 629652491, 697973489, 851916071, 445802676, 586519833, 646302731, 881256701, 510373145, 760214206, 540341720, 202268070, 95659681, 1071828095, 748166269, 413217790, 744196102, 511136694, 402380150, 828399815, 221402917, 328846603, 903830763, 503542082, 134015237, 85708516, 555945555, 651562204, 430264099, 212985979, 462650110, 555008798, 767708875, 914760903, 168573708, 79249033, 718339052, 600215781, 66776424, 349569107, 642480302, 283678245, 937976231, 205995330, 958067838, 132295055, 284504520, 443173295, 949607687, 692194439, 734307729, 802729105, 864940190, 183152600, 44101719, 87178298, 1042723687, 742241349, 82544874, 22246657, 308397379, 20002784, 439683332, 913708154, 764262595, 800707121, 529067544, 1057488873, 854365462, 30665247, 418242700, 764959354, 482415304, 389109949, 1002043896, 31442104, 672809349, 897036842, 678207312, 639169446, 40171454, 252746144, 410569045, 926035065, 530938748, 273572758, 122734199, 526166432, 279915207, 449411930, 916638684, 738544579, 371525747, 429804779, 961643024, 750202329, 705121579, 609647564, 533311731, 576434166, 502104782, 387426540, 620428583, 43838146, 648730850, 864802868, 443715197, 753120988, 503219604, 544414034, 784978139, 31318846, 954544727, 643049036, 190926058, 504942386, 11738512, 341274576, 866023546, 466046573, 382794339, 509341318, 1058358503, 154151028, 198518356, 190520233, 656064442, 785051915, 735912861, 161181548, 853670646, 954905324, 427335222, 1040515013, 1045105136, 126697591, 217756193, 111395983, 632542250, 849855824, 745987587, 845246983, 106638555, 517245236, 321246905, 605555696, 1057677664, 992428406, 62324104, 525398450, 183348376, 385836072, 329684814, 398325509, 864865928, 118596012, 160572659, 389453768, 982503673, 510044584, 739064826, 474223179, 217945970, 773388304, 773763297, 29366726, 334694869, 880179498, 821495416, 663027427, 527863911, 760728304, 463792350, 244810215, 7673087, 398802684, 548936999, 1050652024, 963196655, 611145461, 615377630, 668777982, 238208948, 969176528, 681404573, 678708169, 495089509, 682748943, 388283416, 838009996, 103851301, 293388704, 730880694, 310630115, 618221634, 633501117, 681770382, 960853460, 209553584, 71599022, 354644414, 305651123, 854376721, 771464227, 997081313, 555789437, 424121364, 748151985, 520490767, 615204837, 438590562, 717250958, 108726915, 768903688, 410553048, 18927299, 447776081, 601761331, 1028505558, 979189753, 589010030, 201350361, 351840572, 1066535243, 301313715, 481986744, 176842857, 665009716, 1015004410, 962511228, 70882151, 297665039, 1048021055, 885374436, 618431771, 259285409, 729281096, 734672482, 258551834, 1038759278, 479445479, 644390094, 3501926, 146705588, 82542075, 489536752, 118736036, 101434726, 876102706, 860716568, 574744338, 497595680, 195169081, 622910083, 989536087, 905159917, 885978617, 675288443, 823995393, 112629985, 576998497, 36455756, 540929831, 306826791, 488301328, 771441112, 988011111, 43302944, 238569692, 838442229, 1033879959, 331783705, 590905562, 266374863, 736210407, 1029737308, 61340275, 11958420, 485160157, 975288592, 876457313, 512921279, 969396981, 1040976215, 446188017, 595413981, 770009590, 523278345, 451640995, 443760612, 32822302, 1005507739, 763343322, 798558289, 1013650753, 989564243, 811023503, 581011383, 578159673, 826433972, 535449714, 887449364, 599743176, 755306840, 399358080, 186260352, 945477677, 104159556, 675938197, 1018768367, 210887278, 789214280, 173363627, 732740423, 70335738, 386529142, 307444794, 819521459, 1030972346, 416345796, 59461259, 506775707, 261276440, 659654580, 159351606, 766753457, 137832299, 864202228, 77581287, 796728976, 957630745, 176734196, 766645486, 837490121, 105675548, 927514056, 207044543, 262154160, 333803906, 960151720, 473754898, 413936829, 508386669, 644938335, 591096211, 292423440, 814559877, 36096997, 623560014, 283546346, 934877597, 27795575, 776640295, 311773916, 627425006, 1015976176, 123860706, 350103369, 117238491, 146393592, 1001079873, 348016603, 51376571, 1010614115, 941762945, 123363364, 370024021, 838252751, 821884201, 598883816, 739916606, 589424410, 89076590, 52851668, 798818103, 325377229, 9155917, 225274567, 254496335, 766290903, 540939270, 63075334, 969417125, 466791549, 607017274, 756337200, 986513722, 666061526, 93971713, 917511848, 482166175, 454828904, 1010168627, 619556879, 637340832, 1004377429, 860122824, 935281177, 87802376, 495568938, 507251467, 152216463, 513694942, 370699073, 939787976, 684405586, 694555498, 516510357, 101607416, 569908246, 312774344, 854506683, 393683710, 472868095, 798670754, 1043792476, 366313656, 369606494, 19717717, 752426373, 138089664, 1022437313, 935704225, 180380944, 684936065, 149247891, 390409955, 643962837, 1026378656, 230433905, 344741346, 979395082, 624974817, 472113574, 573935570, 942973448, 938339622, 632195861, 192571429, 910520398, 1045134450, 443259639, 149038917, 796393671, 726459346, 1009100629, 643387258, 282004843, 925908755, 544620604, 834569462, 612207774, 1038255801, 764007991, 1068066333, 478563944, 622555193, 990627155, 335833191, 822387254, 598332218, 849854894, 329964032, 510652955, 624101097, 332768973, 86119486, 1001387126, 234901995, 89221489, 485460393, 1022424704, 665491526, 648323099, 480950848, 185516811, 557491039, 755037182, 821683508, 739281372, 740015958, 540340068, 892008856, 146576824, 641104627, 947532161, 434019122, 397583911, 190679629, 580277024, 312733983, 595957898, 1029594214, 978800264, 892573034, 539851133, 914811876, 247343477, 107489102, 261434508, 732488418, 761821068, 847406322, 1063035098, 854622547, 388936128, 51997004, 924066421, 547278651, 885601776, 675986660, 679869798, 691111553, 138277635, 825596085, 727079730, 473044856, 376120588, 839060759, 34534441, 271936135, 218702082, 54122065, 833332506, 279656962, 976508780, 883782338, 820335447, 652179728, 324770306, 727192154, 112108099, 302826315, 1052131739, 139467466, 764609068, 672876405, 583894295, 922790911, 148826781, 838590387, 472827328, 777233472, 940780065, 589028909, 310249118, 432539977, 94594227, 520116963, 230678453, 819273915, 223857219, 479537161, 702811863, 396287129, 208359898, 244620667, 883865452, 949329878, 201885963, 695352578, 569812821, 291361468, 1001782071, 193483516, 345082874, 369339000, 802431583, 787458130, 66493446, 706291365, 337963852, 108785274, 500235717, 181977602, 1024253641, 380118585, 182869003, 970668671, 626481960, 219115988, 297368405, 1036060220, 221625432, 975333336, 475144408, 423972827, 392652224, 206766320, 153113433, 105407462, 220129030, 587671695, 706758188, 851121592, 342531471, 465453058, 631156907, 254326449, 542349744, 372750243, 781029914, 977567144, 883801987, 351283827, 729815191, 77951629, 256056618, 970712665, 424888914, 148623960, 839130400, 943338061, 884488619, 1020410519, 17756649, 978557184, 55053758, 53644147, 378027016, 216753859, 130870921, 1028064704, 172193518, 8719950, 467929575, 956209254, 805948335, 614455132, 442677242, 669343280, 532425524, 57334793, 674112554, 579828120, 148282515, 51928746, 18788895, 394416102, 630324847, 629295895, 322782901, 64190146, 636405287, 649628040, 606327810, 247121650, 462766924, 831059139, 869441683, 17417199, 591547435, 1002759233, 506251049, 301996096, 954312426, 85353834, 1050658607, 850606103, 1048379012, 392370026, 293393198, 839387142, 855348815, 939069838, 47069210, 653336269, 183045202, 304028276, 98217494, 617104656, 31177099, 557668447, 371887271, 762879264, 1015056958, 691647123, 77532034, 889414577, 641129644, 949436321, 390274119, 407005950, 378210441, 1052878229, 638807304, 117361531, 40657575, 184104338, 577350634, 116612860, 262903543, 862716611, 613224271, 205745949, 987936599, 16968093, 184027366, 612002623, 1033890220, 650255595, 1050329180, 115680707, 598126882, 290459414, 878708672, 29949794, 566586306, 1021944596, 706634022, 915065538, 179801427, 780792580, 836889017, 144003615, 147979531, 983769090, 170910289, 183006811, 828241193, 388774896, 1002857117, 566672667, 33076665, 583020548, 287185834, 1036212881, 702704064, 434305538, 660738169, 960633122, 684744250, 544923158, 440723076, 463804885, 97765635, 467790105, 196652138, 1003306870, 345251022, 357422331, 403234904, 606413905, 129929133, 246186146, 981024372, 503627752, 663999175, 798328338, 541742870, 104707304, 464305320, 346384688, 239032191, 767193581, 622481502, 741843398, 984851210, 220747985, 453530520, 1032353418, 45277943, 731115516, 162140885, 257509014, 735186074, 206003580, 119214863, 845994352, 61203785, 128353946, 718528687, 467467828, 492820246, 812377397, 736162775, 173996376, 234951239, 607815284, 366701653, 290539137, 295093142, 28421503, 148956253, 983398581, 943423605, 1038515259, 485013364, 700705729, 428712351, 994879217, 492803024, 839739411, 128966790, 231343102, 883163226, 868676269, 406935379, 17700901, 878528586, 617078792, 568292573, 231783929, 925050203, 512196357, 199224769, 1056204230, 657064055, 1021589073, 272712883, 733687981, 975563048, 88621335, 793604021, 999343063, 956187095, 727373594, 758463916, 1047017497, 966516638, 1056183160, 281819780, 647094806, 915275742, 632722089, 744487302, 23241976, 57822808, 748913928, 133794087, 122446582, 506343401, 323834746, 284895924, 58023646, 563308692, 967935006, 1032393594, 995867637, 787528849, 459303890, 317649566, 837991023, 633245911, 910195080, 713184063, 181336496, 90123499, 22583721, 8795998, 494604938, 173991977, 579008054, 737151217, 1072958029, 912983557, 203417766, 624376169, 842173986, 170035384, 567003243, 58844645, 16935359, 410428909, 228187174, 5808421, 171886313, 590926833, 664757292, 880520187, 823044508, 931647653, 567416850, 910524427, 175908579, 791365784, 602162221, 726355534, 269857684, 730375392, 664160247, 274354890, 315291063, 48593611, 412081788, 854881468, 23495232, 44761087, 183091221, 794003959, 215309072, 120476984, 231945219, 742030945, 575291673, 854043202, 333626092, 416779070, 700255644, 825348415, 443550190, 211134555, 248531875, 343699554, 573982399, 584386355, 141238493, 323525133, 273264319, 137888938, 472527296, 600973173, 65257864, 1063191998, 478052457, 630271190, 624026282, 1015412613, 966562371, 624954947, 225112772, 835594342, 15019956, 76245950, 446830719, 795639112, 346852708, 1053120720, 521942156, 999094407, 1036945203, 1059145861, 315820022, 790094341, 625841318, 765110301, 187377354, 890847652, 217778637, 747952788, 243755359, 712072870, 904016244, 881966362, 105578053, 465581055, 248150229, 912954131, 372054601, 798849072, 199400896, 114037604, 164237124, 51716015, 85003768, 949150315, 1002989228, 575116726, 1011541309, 1063664542, 473616022, 15941357, 72736964, 704778909, 323498334, 589812718, 191269792, 766138602, 698381097, 160526749, 300789943, 16224458, 795752943, 809621216, 555005672, 809385212, 564637573, 868278218, 87728791, 561926052, 26409927, 463941839, 191522060, 190985274, 29308209, 796011382, 123872055, 32471835, 577895837, 834260548, 13000824, 81204470, 871232385, 671906252, 812281621, 101634180, 479617167, 606737367, 283062930, 654181719, 14476445, 437345241, 901307041, 612629834, 726661146, 126092756, 23640456, 685981115, 849463691, 202939195, 458210188, 867768238, 948835234, 1064914211, 880714493, 122010397, 355292319, 46950876, 1064943099, 476565916, 895606244, 46724581, 69493324, 120876606, 810068212, 638936024, 164394401, 353837857, 932094244, 38806790, 215508085, 817174656, 806985841, 737273112, 321766003, 773890148, 479661300, 331272990, 786202169, 1020614221, 475243399, 232154738, 1047562288, 977873254, 886000037, 768556171, 1045407634, 600767574, 289684141, 281690303, 650625388, 422652764, 279064295, 878761051, 927004055, 870824509, 751263784, 368862756, 409859443, 609560292, 90791521, 725329105, 856975628, 552259222, 1048806967, 244602652, 995492497, 69099135, 985735989, 203068685, 292524782, 650618068, 721479413, 222852294, 511739738, 1023526699, 730523891, 434003661, 888829881, 233572027, 638200757, 934062212, 692620099, 415442184, 63310731, 46151508, 734834988, 831606404, 203989433, 651039636, 679979441, 645727253, 843489727, 969159431, 627380481, 1030614323, 854720010, 569815653, 88828838, 670550419, 955570138, 1515198, 113500638, 407072575, 325636999, 535595617, 873111660, 774018551, 403982999, 488375830, 410773625, 128884132, 668841205, 625106731, 536258290, 873417145, 21441007, 746400587, 307510930, 293641103, 839963606, 885886876, 730217006, 885774687, 709038365, 248799331, 811977224, 439723104, 970759119, 719413315, 777822266, 888378115, 1048372857, 836023643, 432890630, 983655975, 956531876, 332460013, 445633226, 791040080, 678860929, 989927680, 913466579, 971383514, 1009598480, 38628457, 497789927, 264282552, 450038515, 481406307, 918538968, 173061619, 698640247, 651424926, 992364362, 300774347, 63105113, 429384934, 96873389, 133609743, 275418622, 677041909, 859753789, 320030390, 502404222, 887221187, 859585841, 325353761, 1009221525, 348207947, 938519898, 590031002, 443175411, 175930311, 437282331, 872331537, 88370380, 401454595, 534153432, 744402163, 570194749, 1032809672, 690936729, 966435965, 598443069, 321411362, 189371265, 723640043, 508362925, 457984210, 1029507824, 488348203, 1013314185, 884403854, 361614019, 254487098, 333082786, 863864555, 998107237, 294222423, 1048363567, 139206181, 144752774, 820029440, 314041168, 118505523, 409638991, 658165738, 441941024, 1048402819, 963243533, 106848189, 724770762, 734730082, 928807569, 492076195, 152401066, 195585579, 934990508, 960139204, 688183441, 873692237, 890015685, 101717330, 440741830, 903584675, 290296598, 705900327, 1046507889, 922304952, 38037260, 26878334, 472038117, 245317171, 58696204, 838580171, 451889102, 619048477, 895810385, 20043821, 548604421, 873442123, 485485661, 325827468, 958672592, 317524256, 241841156, 576245537, 93767086, 748752168, 885231441, 861315946, 201964100, 585240189, 253640128, 986215362, 902805013, 239829916, 804573131, 917035426, 867070721, 976675731, 153669898, 885363357, 650845835, 123286822, 472015436, 217788095, 70880544, 128024149, 796684579, 551721017, 150484287, 1010725305, 460402370, 470928058, 931321334, 640928702, 529219473, 744936019, 1041744143, 133709660, 463722089, 848372936, 325070075, 348745991, 951204588, 73392754, 719836435, 622888522, 566481351, 153666279, 623994603, 291399389, 1974652, 564976125, 78260087, 159687030, 916431641, 945951450, 1071763889, 180809602, 216330329, 112741965, 411360203, 761348726, 839870233, 551296214, 575317660, 606770047, 382409176, 47363309, 480206960, 351578089, 1063521758, 645456079, 796692018, 30854072, 851862148, 153889979, 195414279, 22070534, 474382722, 623357353, 1009361817, 536218663, 849063052, 958246177, 359138605, 461782484, 2995080, 93061972, 157634026, 796297899, 784926084, 497764492, 396265783, 951306660, 463650278, 381109118, 258988055, 822050256, 871374200, 1006845569, 994157454, 362780284, 612484343, 284263153, 696003934, 675227362, 216102080, 106613646, 145861980, 1048346208, 144440523, 127457279, 639726820, 831183231, 158761841, 504986464, 480737664, 481672560, 993599726, 603388678, 1051021708, 659538681, 174665829, 982773675, 118920459, 1021917499, 615771207, 825076808, 216919343, 426891141, 240653480, 965308144, 487746519, 784265264, 288586902, 372319895, 550180066, 222496512, 843397553, 878615405, 984347548, 145215590, 860611743, 673951500, 737158737, 1061513611, 685959133, 397258613, 328864303, 972180446, 324726802, 725548225, 817896804, 242830004, 818887758, 454107830, 491883733, 149726067, 715455564, 197881989, 108272887, 800051819, 492348363, 420267315, 160726545, 985152261, 605825282, 877749616, 106476192, 44763939, 243001934, 825055921, 37311837, 648674068, 884123616, 168797088, 147835578, 5493781, 676357439, 29957038, 7076968, 834521969, 1017991360, 679648620, 528341615, 853254709, 553560930, 99652529, 959176834, 749426099, 514434246, 1044941697, 923367094, 854612056, 1059092446, 149989606, 267059554, 373852628, 575947844, 857264638, 814512016, 310940900, 234441630, 871183850, 1015302255, 826833186, 89861619, 994603532, 353541919, 773312959, 441731278, 773218664, 29221542, 702554622, 619814748, 871151868, 213605497, 839911992, 28498152, 897792747, 1033741166, 680792020, 144598035, 631826535, 494025263, 907930538, 631405153, 1039140706, 972058601, 31212901, 611923365, 667742726, 660481971, 604659933, 595961214, 659352038, 175845186, 420515822, 162520538, 682813573, 871809839, 1008406862, 921378382, 51802580, 903861346, 191815359, 961070238, 1042996227, 168861789, 578545346, 106788055, 202783735, 457757650, 808122521, 838350076, 631030511, 395422310, 770520441, 231540759, 934773997, 612918134, 290205228, 767674833, 982498437, 329870716, 475738607, 977009710, 74027428, 445754459, 995816160, 157516788, 339441654, 893786303, 783004262, 628268094, 213969501, 394298386, 723647531, 524050104, 1011153846, 142079314, 597915489, 736811230, 929465521, 1056153356, 250037793, 486207534, 437109643, 107550382, 101657784, 677499018, 833723439, 66613161, 496475065, 210294838, 953254050, 74832648, 87290495, 215966969, 964995946, 637232105, 277062385, 864527981, 1065247882, 993228097, 446070819, 446093972, 962222461, 64503806, 174827016, 890048320, 940171548, 461195899, 277307678, 209136320, 328966296, 122174646, 152110618, 565729003, 334711977, 956479898, 573220684, 558708725, 109063624, 274703420, 641111398, 756951326, 993656196, 29415840, 221030009, 84367613, 233048328, 768595418, 298772887, 944753219, 593489468, 40036802, 238743445, 781605431, 229728188, 45645052, 371712949, 962219054, 611185708, 1060919734, 1063075447, 332749672, 754866641, 830173852, 117794390, 646258908, 104190760, 827445502, 474167064, 1051999121, 398408744, 72452567, 494372235, 522546615, 573873196, 618184294, 462749376, 635818293, 249617467, 595724363, 879875234, 724848462, 427434501, 672675640, 791382671, 137449486, 529663107, 709564463, 504348888, 464547130, 219604540, 777979604, 1012970536, 14023382, 675303780, 548364660, 400025988, 1013662271, 681082556, 165031226, 910609468, 939271622, 711257149, 813690203, 574622335, 440209012, 26810836, 46598527, 294408290, 466705797, 249183937, 562118144, 663434759, 624737932, 370464885, 705453761, 382427399, 344225508, 64617084, 840000362, 765303200, 1053961652, 172416426, 1059007919, 508044483, 767537965, 889936837, 155616067, 929584942, 808302005, 48647241, 105472441, 592845249, 762329984, 157096823, 394755447, 630504564, 8035730, 303258010, 607547608, 688442935, 757240622, 941593386, 153117008, 1017120113, 208923036, 648064539, 513350457, 775236175, 732023014, 345005924, 696067105, 506897537, 1035320358, 167129746, 819852651, 597369980, 823132995, 133727293, 61857673, 176782373, 17893776, 195764480, 332815125, 44896852, 578863420, 248960858, 769339023, 638635678, 799239015, 636688753, 35038556, 637591183, 315338088, 548112623, 1057633892, 142122052, 225037432, 9810971, 48708913, 623248693, 413385752, 696498756, 896620339, 1294396, 208355429, 297357973, 1005822554, 317928323, 312784723, 832669729, 60985902, 299025986, 715938584, 772200447, 350280935, 1069845470, 630669819, 948175155, 921487230, 130256503, 1014866619, 786775190, 287565279, 447171681, 317641820, 134651626, 134726754, 805318661, 571757846, 600058315, 827472564, 61758781, 41287040, 1071674970, 709431544, 781417022, 398168284, 3764325, 351385336, 345742404, 455160419, 951831907, 39269706, 952781934, 931599102, 272631822, 601527446, 382568389, 247467261, 256758912, 719840825, 654135418, 747103446, 858140979, 570860223, 525301169, 238492347, 927684075, 345511698, 351350460, 972894953, 821060379, 997766254, 54136070, 496507913, 986783139, 747568934, 1057326950, 1009919008, 198950192, 700289438, 592585933, 778783309, 206236765, 797730961, 297144094, 91518887, 826268108, 504267124, 156489573, 809860905, 596701633, 554599192, 865812688, 450346460, 727848911, 848861059, 771957823, 762630, 42030080, 180024116, 869121357, 409430800, 911579936, 392856009, 246364778, 184632715, 72220867, 78162668, 1000856705, 96744943, 343109825, 530442844, 844301982, 817932536, 930162152, 893631224, 912126553, 628386597, 679553723, 819736126, 964332511, 577686163, 256902390, 210694046, 664599836, 13572864, 609498050, 950975752, 110685311, 625675153, 1006249805, 927053012, 455863601, 163240017, 97308233, 598553621, 1035979410, 440461916, 508318879, 1048678811, 514726340, 693960031, 185887411, 183376308, 447600749, 46903753, 34889467, 327197882, 1010279000, 517567379, 27858037, 1062729902, 303858549, 308090267, 521342544, 718661086, 432288497, 617438424, 150068123, 654964986, 827933288, 805298082, 389494005, 1063869127, 1036789118, 280072361, 537214857, 259770810, 229217338, 805349922, 861926867, 905376102, 471157043, 547017095, 864787900, 1001143275, 595147955, 1035586545, 285288112, 1068986053, 802807578, 765237189, 264336311, 1044853943, 304955966, 229932443, 547173151, 493381375, 264374144, 700559173, 8438762, 1011164505, 1041701186, 876282202, 984631105, 600425903, 596957134, 336869009, 458025833, 656503046, 871645454, 719454657, 488740242, 905385804, 583059490, 1041516103, 730838985, 968617255, 1023061719, 1066505860, 375506133, 698503040, 115088777, 60546711, 666277024, 90694330, 200782251, 343558104, 78967550, 1049198980, 43611318, 208985750, 453592728, 579109763, 1050814262, 237460427, 946074983, 34741349, 111333652, 751695388, 539273955, 796478629, 290009684, 921692223, 682337457, 542160905, 936493745, 420588467, 633304284, 1010156337, 468974450, 787791681, 1016670774, 941445328, 463524501, 633564829, 164583824, 301995062, 23121794, 110978108, 168730098, 805531617, 903229821, 571580595, 75443962, 947344756, 214442622, 3209331, 719409726, 74443123, 637736097, 438543773, 661937077, 152356621, 26531721, 64971119, 753796583, 772687647, 225432078, 22022900, 792892609, 77016304, 714151046, 373740500, 1041828637, 662141317, 156787825, 327879027, 484376464, 737428853, 448129091, 899335650, 495137679, 946284964, 464691344, 467192218, 735496867, 528487659, 608686607, 763298940, 657062550, 618383100, 1066118355, 1068284646, 848432457, 730904023, 1027233617, 264195545, 834371518, 840886241, 420786665, 575983431, 475362277, 144953498, 825763177, 864036093, 73712952, 266960837, 126583990, 525480080, 501157849, 362337394, 950045737, 523266927, 891881105, 325157600, 953410503, 578279356, 1029001595, 38120980, 854371868, 532732118, 375486648, 465292020, 332601620, 273272855, 507114492, 276713540, 643514267, 603587016, 181173048, 256939408, 1024107894, 358318617, 289981769, 974076269, 402461693, 713818042, 525854331, 551122542, 905609713, 667695507, 164703522, 438927598, 726404266, 217490080, 135132063, 876798764, 17948879, 440523744, 466353015, 15147212, 37358289, 511408589, 381405941, 156100802, 790613543, 566111221, 423784831, 834076235, 606911035, 485661588, 515828746, 1043882671, 89293530, 717619725, 422612429, 57073604, 23230301, 557537648, 769255477, 25377700, 827995004, 237887726, 880786645, 67632871, 1036135216, 601109602, 238571943, 6865067, 702876221, 857409530, 438550410, 364446243, 871462413, 619494079, 393190113, 538120522, 47164869, 289037287, 303562319, 422359480, 192644211, 179023822, 965153403, 12954729, 194678815, 566071305, 663195937, 142018764, 180484708, 148002631, 1016308703, 154457628, 1018688820, 117229002, 973825707, 60414506, 34186696, 272067151, 577837497, 693783421, 81131820, 106732211, 10690917, 496539549, 219568970, 1069032299, 788594580, 330723926, 509868634, 86023917, 267777493, 141520167, 74216369, 846395954, 811259624, 403669013, 326682748, 727189412, 499144351, 970241143, 25100853, 617332781, 914508363, 193444176, 576667577, 579659511, 858114786, 690009953, 191078590, 922706994, 671070890, 981914395, 311844973, 856426014, 356070154, 185872068, 912958317, 794618627, 328200489, 302726677, 254345541, 929050864, 517847148, 119123363, 718849299, 231512089, 432052880, 452936004, 856800359, 612244430, 560381558, 427815352, 616730121, 639945861, 449762295, 17429455, 697746280, 686811175, 431103653, 431095356, 453483700, 391508723, 189203694, 1049023205, 55375030, 411058024, 451568168, 857906394, 838473062, 982275254, 407368510, 1002311006, 271876473, 87301355, 525774162, 542766835, 744861861, 718107892, 47685964, 306650040, 758903831, 194131668, 249202752, 1002244340, 971537182, 206385613, 366527850, 998730562, 149544892, 315907214, 202098982, 747825386, 358880155, 413891708, 641740769, 684920714, 642131654, 57147804, 219731697, 429202869, 58050036, 855722354, 13186818, 557125275, 907975765, 885097188, 818494750, 355163576, 975698224, 269816656, 181473624, 786745384, 221502477, 599278142, 8574502, 475209213, 538460819, 379576095, 954241334, 727799887, 500630928, 1039529985, 685575659, 497174590, 299490662, 218592303, 220999137, 838039336, 939639116, 78867010, 460635160, 211505163, 797985973, 814926314, 494676460, 416598309, 135393108, 1043185344, 987356964, 156633488, 41444941, 892948468, 1046264468, 26727166, 587471519, 638310623, 362282210, 1034944547, 494939004, 993183441, 148927292, 30124384, 1064477240, 349448808, 10752478, 281540899, 434100253, 397603890, 692407320, 494711352, 898762707, 775166705, 741680139, 636705600, 270362491, 318658727, 58388108, 75922064, 813344840, 813917691, 562525935, 256989075, 575120060, 446601469, 931922934, 141229978, 199454813, 808011645, 535602257, 406975951, 486216928, 449076190, 717133530, 443409582, 1933892, 747880939, 32604773, 246355818, 402696982, 42224842, 46107764, 357587084, 967630877, 1034704402, 582524327, 938495146, 132284844, 30582267, 102727561, 583633601, 116959517, 364500166, 381479998, 967149657, 888184253, 268039932, 301332410, 248586416, 249478487, 42786319, 874349023, 431206656, 74671323, 112037694, 926465737, 1034553591, 678870781, 273387150, 984367018, 594161186, 826859443, 973842262, 267602582, 517930057, 70256185, 501165564, 752380271, 668947357, 135867429, 108742279, 437942721, 152402139, 745767651, 102224107, 564931866, 595170846, 479531118, 363401279, 392549509, 890623312, 883098035, 666798873, 382164868, 904994987, 374647186, 757827365, 357968328, 1042905072, 576049459, 910057586, 943908702, 261429895, 849121517, 507739786, 545685126, 1014991603, 938956422, 864004411, 48917603, 82795781, 530339052, 93045397, 633135378, 904405062, 920990857, 508929054, 365709181, 574381200, 53194160, 315625848, 37132910, 55595070, 245166258, 398602950, 198853542, 412625049, 496575813, 347929689, 444022480, 721864999, 335062086, 411162137, 273045308, 543147060, 481534222, 419636172, 82839285, 936395949, 1009101090, 755353611, 526088223, 631058441, 366949658, 125636639, 101436093, 196824222, 725534261, 292658776, 244412032, 840876601, 763862398, 111865321, 75020029, 986547863, 503735750, 482619838, 75367062, 468049229, 795094325, 103295405, 87022123, 880398702, 941590289, 388433082, 492849603, 269696628, 658884136, 940028431, 437613697, 973598977, 746924815, 239176527, 422858275, 625366358, 541026723, 514423535, 418304775, 1060869903, 771205843, 730055596, 431942639, 652704681, 804174061, 923551505, 476755323, 692371658, 146415330, 359401119, 633098640, 994598481, 13849931, 948814982, 170084943, 562739937, 267819808, 397623959, 520866238, 250065763, 992156996, 242254108, 650925233, 154071807, 882316227, 987852535, 854934075, 223512128, 76499756, 552230013, 229041205, 76108110, 472542838, 236879178, 25161964, 941944083, 827277925, 420399659, 317952806, 951570779, 830277764, 167171446, 864340534, 288444129, 374254720, 1049296383, 260400155, 339609443, 76776724, 17554438, 587001126, 629136201, 1039969625, 794374223, 115154741, 765219089, 431230276, 595547406, 490543779, 408393875, 100701747, 542646919, 549111428, 537923510, 592076480, 617239471, 502401329, 84059870, 137016624, 298123574, 835295025, 707113829, 670958086, 252505600, 1007590872, 935292103, 157225231, 655185412, 202818417, 189254593, 534369954, 1001144698, 274533936, 1065712664, 845706520, 970839841, 249826316, 726794054, 112431492, 571577965, 473667235, 822307073, 790586166, 430154163, 1023503403, 75070322, 230190267, 565682716, 267899037, 135156399, 842938853, 784861085, 214387882, 937165867, 233827329, 103083818, 251909169, 394366005, 1066772738, 372705736, 400810882, 891146876, 510488082, 367860297, 452723681, 448560853, 1038290206, 443048591, 313725597, 947162674, 85067120, 152985292, 520845017, 1052411550, 601477116, 638665478, 845361234, 671307405, 747555465, 708904377, 526658064, 649488483, 644354994, 874395880, 907267797, 465609748, 558885037, 358172274, 492151046, 842136617, 723914361, 668743577, 1047630617, 172009737, 790619971, 1039673638, 591373491, 789916962, 299344636, 396343921, 24357811, 143317987, 923842202, 291148167, 831136644, 126459781, 936882456, 821933277, 928489343, 658619384, 861850448, 1033487781, 1011475758, 425588908, 647749445, 20439929, 581248984, 718847132, 894598234, 717613345, 892140149, 456052228, 420137342, 482011544, 576129854, 1029574169, 613188341, 634998759, 754986486, 53358121, 586378711, 815264154, 37087259, 1016784993, 853181692, 829154950, 948935691, 895918130, 861580177, 245375427, 708221245, 687838755, 389649939, 319382865, 655007909, 575394606, 568945913, 666016031, 430370008, 1006143474, 177350815, 670953244, 37177912, 364897571, 438372249, 979605649, 293806257, 220005991, 982660321, 277770102, 526490231, 779075025, 542682929, 623213187, 762887418, 932267428, 387537602, 916574457, 616398723, 514176008, 307908597, 326978442, 904008851, 202564058, 542009763, 513220745, 604371117, 392779528, 755336683, 5729917, 176108221, 482205254, 70806245, 338716240, 875579639, 631779913, 421617380, 604211777, 596575618, 428753563, 670614524, 285780239, 561034969, 510097921, 845603835, 856455321, 185441068, 822097375, 685197937, 195379960, 525651460, 707649023, 461122787, 358278166, 767990197, 404837018, 612156344, 347022432, 1051842420, 781567691, 973029276, 28856914, 81735739, 831293958, 292404603, 28396026, 756956797, 174640135, 627005407, 975696386, 422686989, 131461691, 1021442924, 502057256, 76875594, 13110601, 922975899, 114100493, 433430132, 463686570, 1024030208, 406948668, 1013149785, 64431026, 164440906, 193511892, 790915693, 89992451, 94399164, 1037118869, 566843029, 804107444, 80715309, 623183096, 466605354, 807121629, 141871785, 605131000, 427881245, 809770128, 547232754, 668098752, 422251875, 333723899, 603744730, 755555531, 972513025, 676674617, 552685991, 272711853, 223745504, 48508988, 368183199, 389242947, 227329707, 1008474540, 399817415, 238280739, 53188082, 1064383429, 305861094, 736394950, 245463828, 960028621, 934649204, 898951928, 300079122, 407764578, 383230995, 777313321, 887075811, 21299997, 994447658, 51079103, 172129888, 460754968, 269913573, 933526990, 567781540, 926772986, 1067148445, 471013191, 930130661, 166050263, 2905262, 39013572, 52091184, 587702815, 272035978, 287365379, 70666444, 697506668, 856410731, 900657214, 998901755, 547506579, 500142206, 1060358159, 659786811, 873316517, 697126705, 391916638, 36446610, 350319388, 1011959240, 922333367, 952115749, 687111682, 1034218430, 499676474, 615930268, 815952271, 778541790, 594544378, 222524933, 676910950, 1034079197, 14335880, 574786991, 152247381, 619896219, 973148731, 340251358, 467917201, 510692296, 397087038, 72558596, 816388749, 28642386, 469134337, 140491608, 426175056, 245636703, 905219298, 527155057, 174872432, 996378932, 450718830, 313341313, 252260152, 948672808, 128851033, 192292042, 645949065, 757123701, 479898089, 170736386, 937292585, 271329272, 659304011, 238567402, 29771090, 116828644, 1065359628, 126650045, 1001795460, 306490657, 503764438, 743405992, 971003482, 890200710, 567054776, 770075263, 442671730, 26265655, 140035991, 22272609, 49611528, 403553617, 133329219, 265624997, 190987722, 337778825, 399775545, 600228197, 1051322080, 25005797, 395171962, 759939148, 441992391, 947941627, 491327403, 196068578, 21602476, 238803018, 379838764, 987666779, 108189790, 104229089, 990679140, 364002849, 576152971, 939725, 481419002, 655408629, 196419880, 593844974, 840865659, 856277089, 741117008, 4417153, 660130403, 838348955, 678363908, 34314106, 102308217, 602024857, 690537472, 782422149, 231623288, 10403258, 595393765, 479898198, 327308755, 431469816, 146442195, 346016949, 1071896426, 462267390, 608561574, 821964426, 397327181, 568747497, 197136613, 598245901, 678555975, 930769043, 267082889, 563321239, 527960962, 399503310, 633541598, 957086439, 848252777, 706555632, 487587415, 1040776338, 203766979, 626915443, 480480085, 1038879795, 213217492, 322865867, 718282094, 349537913, 834871063, 712992348, 818586551, 945134712, 1001431057, 90397119, 203912727, 930699769, 674625557, 733260212, 745947446, 5522067, 913512328, 31491240, 712508925, 729954121, 459525437, 100615679, 620281938, 2547196, 501805922, 266060204, 740796607, 241413984, 607736671, 663659147, 53000376, 1015750458, 1014889114, 54985660, 160705851, 371427679, 760253684, 170206576, 730690882, 682505390, 612336374, 344449435, 274977268, 914924384, 111173136, 715546813, 1072487444, 433706150, 77713793, 441693700, 980763439, 777400017, 537413953, 1029599333, 643976813, 824270744, 516023872, 301916688, 211901857, 779379207, 665074664, 404458882, 396875413, 664739883, 491621810, 983479609, 271470379, 1066257567, 22670962, 407190244, 627181871, 940191116, 717676332, 469879236, 528956047, 525328231, 209951774, 502723245, 212838876, 574438051, 873680327, 724426240, 558311765, 1014620604, 286409456, 744309661, 379094947, 251479956, 902510670, 840865983, 859929333, 770104315, 521356608, 118140669, 225176753, 295082547, 997247077, 1030142582, 806682040, 991866574, 663482947, 846601311, 918204831, 903223230, 915341550, 659510635, 381399663, 375750298, 520944321, 136818360, 533618704, 610231122, 126264754, 669473090, 704676520, 1056941793, 708746920, 206085664, 144315639, 694613286, 772258406, 736750790, 670214637, 87164188, 41686161, 978365091, 38114413, 556099450, 342177668, 970943120, 258262395, 934196291, 74352880, 562763194, 849312394, 590065638, 106349563, 835554312, 332767504, 255701593, 800862022, 169016193, 636949259, 617696791, 556662311, 748836777, 790387761, 1003681505, 708070031, 636273495, 496692599, 1028781380, 191440197, 500679655, 835087145, 307750640, 1006788693, 209249716, 260207675, 139402385, 989986999, 1053429479, 191890030, 641005975, 235733742, 887919617, 462825083, 654741864, 294620261, 452537382, 515178968, 860211338, 728024536, 21269951, 752104478, 732266780, 320164345, 370172069, 545014104, 211832050, 887738247, 74333096, 900371379, 324510588, 27835353, 732789250, 677342617, 1016573526, 615471133, 789814532, 382528908, 418516398, 288196069, 717285907, 776197497, 665786933, 796391701, 295057969, 790029115, 469705849, 607243883, 724264604, 323997356, 842153020, 917670189, 674407482, 56706546, 905793277, 454532605, 85235184, 411474498, 453028118, 342102489, 870761462, 487693592, 608750241, 821776228, 971247635, 686658863, 632321401, 294768253, 76647382, 805328906, 837065706, 648101936, 700001427, 839641224, 504524237, 321864592, 565512522, 566292829, 434378685, 773527158, 432560395, 611089999, 480374070, 878819995, 392135246, 384909755, 951278747, 681204022, 99215121, 657020316, 259649825, 548984739, 976816596, 744854945, 713266600, 51826182, 51414329, 865046750, 550688842, 702645294, 57729965, 875252904, 859775095, 450382723, 331158782, 362589339, 466816280, 104965991, 1014485455, 929711499, 640699040, 117392605, 1072616500, 19056641, 392946109, 464352873, 992600078, 802160478, 870695621, 218196143, 17918748, 1011700928, 666606078, 33241564, 602075904, 818602373, 356839892, 163923417, 274289584, 788101711, 366146982, 340297927, 1029209173, 293557860, 476656979, 633873078, 296816485, 48836629, 193334260, 214504262, 661918347, 124507323, 811176146, 397656174, 353250505, 393870925, 166272364, 373393449, 429330422, 781188072, 116215535, 344156414, 475053625, 627664486, 690680587, 170388350, 42305887, 538195143, 481231329, 565421082, 88391917, 494665048, 817693639, 88805995, 794285036, 42333083, 75622194, 388949402, 153150454, 82570993, 487846511, 917938336, 833134981, 247711146, 994678063, 946842243, 843617106, 745298989, 872557348, 515049481, 577085212, 212056482, 1064426204, 822093051, 360675160, 273951754, 91072025, 609129782, 427152408, 388699606, 822499484, 812249707, 897831089, 932584462, 504809103, 234860878, 448135639, 596095642, 744726310, 101955632, 1020663594, 746070660, 877922289, 215537350, 578537647, 85732962, 122624162, 54300950, 334031533, 721598765, 784974038, 948037386, 1015504508, 978518138, 863869073, 132376716, 37717969, 247015122, 221396959, 622342075, 255189215, 297263383, 988818497, 807760104, 48665722, 642176489, 63392371, 872812181, 616740647, 470951508, 465493976, 630973677, 796982673, 836932554, 124878271, 211182479, 1034181218, 428300420, 607304635, 362673154, 888201634, 715988360, 615326662, 929307650, 472609344, 203860356, 456498404, 119923215, 628836573, 1001948959, 515146354, 525605939, 560008002, 628414390, 910818548, 402157563, 791875955, 292904388, 577353831, 46725252, 435061504, 58912611, 859266424, 164653137, 401258333, 390742876, 268328006, 173785697, 814315062, 1069382118, 650450458, 489827470, 264747662, 718381409, 158881839, 990886283, 162271214, 796088695, 303134719, 518660440, 589381491, 570254075, 336151967, 34923870, 255388286, 324794146, 757945112, 730725601, 558041152, 137400847, 926296458, 753924120, 117352818, 259151670, 1057562948, 25437286, 1057875824, 908311530, 842310895, 523051246, 341555532, 49515200, 312342226, 639438283, 115284995, 308521788, 329613467, 1022102833, 349076388, 222941596, 385661034, 436868731, 809421411, 403717793, 667413475, 572217619, 849639079, 516504677, 364416125, 399218335, 487778010, 320155233, 341435122, 546747638, 727840216, 799704380, 315337434, 904462338, 437397945, 437032288, 1058138307, 892534747, 825745188, 581070926, 1986848, 823284825, 332443150, 992546892, 352314611, 237015107, 586072409, 357642819, 244693083, 747199522, 86167629, 125427167, 494012103, 740037455, 878336159, 47117841, 416608593, 545513874, 1024437974, 1049899787, 317136784, 951096894, 861739406, 364874523, 628673604, 264447204, 554426287, 375142169, 60623092, 78725278, 333938269, 649419295, 754901907, 263576091, 1031154934, 511202057, 850077717, 926093107, 835689059, 260110406, 358391464, 685142694, 105404248, 663207979, 438563027, 270904096, 712248931, 465973083, 474186803, 936982707, 546030946, 297173367, 988097325, 631193309, 166518413, 229348993, 624453694, 211141166, 256591140, 104196059, 91901744, 316729810, 331160551, 600947061, 108072318, 152409058, 886674910, 268103975, 627678388, 702827099, 573904651, 244825065, 560046753, 481523695, 975587198, 395666805, 640193691, 382626729, 401795566, 516487810, 876592917, 577111438, 883636231, 1018637704, 752208552, 658857958, 787404343, 878104825, 472932050, 389842311, 567166455, 483513951, 251257990, 668114928, 261878133, 763711940, 128264468, 693671041, 501248280, 63245563, 28416256, 811557441, 885322313, 488685954, 1010803954, 817978511, 860892821, 736934511, 226920207, 238135240, 954317548, 1056053019, 323411875, 956483430, 746571768, 361000164, 894970442, 919154773, 972511417, 75535661, 321430119, 1065676452, 359229613, 756002507, 261364117, 1020895457, 451367511, 101039845, 867408375, 82277804, 972508462, 449956137, 701460897, 824784691, 117578391, 953706991, 339264137, 331695083, 960324774, 1027865705, 323129818, 291854994, 451564715, 724432936, 784070003, 486345342, 322669369, 843333414, 954824801, 281857443, 937716250, 156007206, 199937356, 944510577, 10027165, 156038410, 920121074, 769054134, 364261999, 699024100, 315785105, 76707972, 647882836, 717038472, 965205511, 692471033, 624743070, 411666527, 108404259, 267732448, 229996977, 589474781, 560699370, 407388541, 607499552, 46437809, 48475325, 270039863, 839155202, 576849834, 277924083, 507668217, 274786822, 5436523, 415426229, 304833576, 1071317437, 378083820, 647809538, 362875086, 638824457, 401729858, 439476661, 514522255, 181655617, 380888603, 605142854, 718973951, 158025455, 25847463, 181100339, 1033108624, 157188089, 19407529, 806270889, 501791570, 1040969134, 330864720, 673039046, 709660108, 903956169, 951232695, 301137889, 521053026, 788589277, 206794002, 706233287, 35793872, 45947590, 465275455, 257090766, 406899492, 850111836, 993282077, 124939181, 640702025, 730261807, 259949399, 783340596, 15067206, 631857343, 361401843, 369138719, 634605325, 1037802084, 692089273, 357268980, 797934588, 986150876, 381312854, 698775900, 111791768, 149837625, 187254849, 865744969, 512634771, 119132103, 797666454, 593514575, 649098759, 607983936, 73725250, 985612355, 361242339, 496988310, 756591734, 204164066, 793433206, 157911305, 921953340, 512452544, 908193253, 843367357, 869626112, 593934657, 525355191, 479017122, 159023110, 625170204, 996999181, 579924662, 420589639, 344842904, 929494043, 453354046, 864040709, 286411013, 1059707112, 526396417, 92556674, 532360733, 945713076, 590963007, 301183743, 747274880, 476147397, 100465239, 643638289, 166450815, 555823679, 978876745, 257129571, 954514291, 687387382, 461328045, 326462807, 356173158, 649472304, 346101187, 536483768, 764159070, 533558965, 235838765, 840743770, 891604532, 176227165, 460284949, 14265175, 818289293, 79025342, 488659240, 203631213, 100311274, 875766824, 331188190, 696307085, 516297967, 26080278, 535913314, 17528215, 36576371, 286931224, 620018449, 142635670, 790995390, 571694427, 424255519, 1008515909, 450391016, 325806259, 840534538, 195728153, 195432173, 313953299, 518744665, 460787216, 1043688958, 1029700720, 772090184, 408489648, 616663151, 1020837193, 874718219, 403829830, 804459316, 889504744, 1003586020, 112347054, 120394355, 823796642, 269275725, 606038901, 819194925, 1033119050, 346383910, 273391752, 779622832, 745244368, 312977519, 128896389, 854458465, 1043951933, 760527389, 470991778, 737212624, 483944294, 461323306, 782386443, 160168092, 38851300, 529961641, 200584158, 223118179, 243843776, 936681316, 162166263, 722455822, 349885415, 303452347, 969253813, 223139499, 724655893, 135143926, 351532552, 28712021, 883062324, 636674644, 203636785, 21527166, 844006040, 113186906, 695390088, 348327793, 142872583, 95997392, 451691170, 798625944, 1053205275, 656345326, 770297311, 827985228, 522737114, 503683016, 919169918, 878863105, 550651569, 194914510, 254285815, 504612230, 229740945, 1006210158, 849106871, 81775124, 836830730, 850137205, 121355415, 381276516, 631729627, 932291605, 745977870, 269804397, 294865838, 299004894, 570775865, 428498685, 536745740, 52348836, 994004173, 932275616, 201192134, 513772536, 805759231, 55450971, 177575919, 137015614, 41574614, 684450090, 663050433, 199193064, 797984024, 438200184, 609930250, 722139365, 462547252, 936122718, 176836596, 901336371, 143464302, 141274618, 843716617, 316290558, 153968813, 831800728, 531930416, 575546470, 130857881, 142347293, 805090132, 511839647, 51393271, 262130001, 497131359, 29403770, 738711267, 277175995, 262456177, 312515654, 804762362, 318488235, 708571423, 644696725, 30060404, 403460384, 664385670, 489722486, 950776690, 806507680, 668115801, 781718106, 921971922, 526282054, 658104529, 521740845, 608140727, 654557779, 755746586, 264285497, 755564894, 592034124, 547200531, 1047102643, 656037137, 996708472, 1051919926, 461135266, 694135089, 777538315, 232230145, 659406892, 812312896, 1008202449, 169373933, 1029551155, 653562463, 341348761, 924223258, 350130259, 178512032, 436263129, 834801183, 744656501, 932302674, 879826702, 745260619, 978577565, 283103511, 969006927, 887093167, 792393544, 185534393, 505988724, 10006412, 98483983, 832423342, 454067785, 315724832, 1052619732, 428557840, 575756365, 986958780, 405380056, 898772693, 910132351, 311402300, 715687942, 833212952, 914310705, 29914794, 91908491, 972873216, 866359131, 155817953, 1036623037, 220170096, 225992416, 9521011, 668536103, 834908022, 940143751, 832835020, 636780327, 971711585, 898914084, 680478618, 333226316, 493461321, 520701543, 1012712496, 813158645, 893918477, 223819520, 978818350, 723181306, 388502081, 25671729, 365999199, 963544620, 890869485, 465207125, 1072360171, 1067167501, 789426631, 1025140347, 246181076, 965270184, 45755798, 915740048, 591744071, 738187253, 934609259, 514814898, 2878764, 387642529, 98328466, 126435786, 963941832, 403656706, 627647177, 153377621, 814301382, 176206204, 877684788, 11940177, 202684510, 26595268, 790859391, 796816747, 663874793, 971258388, 747914580, 918738705, 906043185, 512030702, 403535008, 687025961, 392070404, 1008584263, 584552784, 6773344, 794816815, 90284900, 159437411, 319323417, 453851117, 585152674, 806410648, 380921634, 221307387, 1057164405, 534204772, 946976797, 839850798, 728035541, 127657819, 388797988, 1018409661, 802538119, 868037752, 213703313, 55098220, 376972829, 784427175, 533027582, 1038670915, 669933519, 835637666, 124183594, 274010113, 548457707, 902641880, 373780017, 410984883, 185577832, 392628772, 982192471, 364286562, 534873076, 173874023, 638396875, 1045155876, 802402007, 498004473, 787285594, 488285761, 995017716, 699218667, 742142300, 313413961, 275167039, 122489651, 496157928, 63914426, 557111318, 768823942, 283482487, 981512844, 298103463, 270925371, 22500616, 480776410, 318694682, 192745552, 972382297, 967962827, 12879314, 707789456, 1061984201, 336129677, 213096471, 571169551, 608623667, 997955237, 23462446, 282080386, 650001080, 68508096, 859109087, 511506261, 49702314, 1024345233, 906099699, 930411009, 934488961, 873940994, 264609640, 1055904723, 938639544, 995688283, 625016279, 951773879, 1005223189, 749865947, 757434234, 422206093, 22331668, 80120928, 128433835, 297229421, 61558943, 914330232, 284753311, 768297031, 305439037, 539685258, 591128005, 30224387, 1025200618, 1011120978, 259570689, 278110343, 703657107, 471609603, 585487616, 841602358, 974449831, 787957064, 525359803, 370549581, 258638462, 389072412, 824033190, 178899021, 79562244, 489886885, 169541618, 711010507, 101582501, 316013033, 67128356, 803773322, 19745427, 461420956, 92187617, 966854033, 908771580, 369612814, 81368611, 713344572, 200147561, 571479549, 602682290, 249850962, 259746469, 990497389, 295273, 575325954, 149974335, 694431171, 257014343, 1003891818, 217707486, 862904392, 179732501, 842973573, 643447451, 606858933, 933409834, 619516264, 423922030, 341218088, 32036425, 1030140694, 392750358, 755569915, 959257360, 746890138, 769026382, 576383578, 881669736, 627032952, 441597898, 27617716, 354147638, 548352417, 160902308, 959373623, 764143832, 519963790, 1011090292, 1041337657, 643879549, 663466639, 191112970, 156472117, 215763901, 30479675, 82080080, 775630257, 48895382, 116526202, 143709410, 142877023, 295746246, 975283738, 957873241, 327509385, 538712171, 460537619, 170020096, 151286375, 772479197, 353318683, 700278148, 833342997, 124987706, 548421150, 233883424, 912415629, 118562816, 196496864, 212269035, 289519386, 238540666, 574425243, 226700417, 426399934, 214941212, 72740069, 638908675, 925384691, 431645140, 472444769, 81752851, 1022629521, 899144817, 728390722, 774711439, 187780703, 985734223, 731225042, 323747303, 946460725, 257657767, 1052722190, 696713714, 1039644458, 416274250, 76079107, 445134679, 253260679, 863912871, 669791915, 1005802779, 235694703, 124192004, 411181594, 458409633, 264242218, 389402977, 822664857, 118630375, 414122573, 273093694, 454913458, 809863914, 363770086, 282334060, 627697404, 711644323, 812449167, 469922688, 383363179, 952058997, 267587208, 492686122, 567103752, 1051645056, 696413835, 716314821, 808114081, 798999877, 898200848, 714990570, 841769824, 115243418, 606620367, 349220768, 713183697, 817720805, 935258198, 949588922, 958131708, 124993169, 812231277, 257175188, 19011172, 964013757, 831968498, 126439546, 44406093, 759194973, 867565371, 969676350, 259708378, 838203366, 29270449, 217725250, 992262120, 137414726, 18612454, 979175749, 62472398, 239163651, 836188762, 134938375, 193832394, 272746733, 655438556, 840414021, 762221024, 368773338, 113178542, 331389602, 611253997, 1006722957, 205840961, 789661201, 258345219, 184286794, 1067556020, 623874384, 711472949, 734308505, 353628322, 515844044, 916256107, 222437279, 677124502, 360582822, 959224377, 874269436, 893191652, 78587909, 761471481, 457841846, 458857106, 297267358, 719481449, 708888356, 710727635, 874503483, 379323274, 1068654828, 630706456, 998199158, 306265970, 547540659, 579153056, 367316078, 233647215, 741791475, 707719607, 1018208087, 417551040, 817910846, 489330972, 157512701, 606006620, 376151658, 344976802, 398019311, 147526007, 565381722, 925115968, 1067963991, 1072941534, 327549694, 666899268, 552479147, 71725375, 502732619, 883126756, 582591006, 43956690, 1041915426, 715548929, 739365769, 955438338, 798936794, 748868444, 514789602, 513484462, 975817182, 235678137, 897283570, 20021419, 839143000, 463636221, 74997721, 133345147, 70951939, 700857009, 1427027, 86640200, 266737389, 78922333, 742543539, 711569884, 710518630, 717555058, 850359842, 276881356, 194575334, 311611592, 549310384, 28831827, 102019060, 973519896, 592908361, 436538849, 913253299, 280107619, 259044488, 280697560, 641792317, 894351694, 718809412, 170198725, 187561543, 216495685, 568515762, 333381596, 803307318, 330208084, 456519677, 763140480, 65933882, 285092775, 1042782072, 492755655, 964720436, 589661068, 95390697, 869862110, 267179895, 509449389, 828315851, 411114144, 575881419, 48328489, 195188823, 775010243, 371247489, 401859799, 941522573, 1066358262, 879332055, 229465640, 8361858, 427414314, 750470851, 235374079, 712844131, 196345100, 465322914, 683427327, 808935430, 269654298, 657322968, 926013162, 147024289, 630501802, 41277081, 177702322, 377108325, 331419965, 737957964, 604211591, 1040151182, 941296572, 709476391, 837316485, 455885199, 512529158, 493263294, 358368985, 244331755, 426995612, 1048874772, 900535715, 254830492, 283689733, 1051928780, 707767055, 615498970, 193735442, 883629153, 532403708, 812724727, 201196806, 393534166, 1016231543, 76845962, 35032524, 612848976, 843753258, 782818261, 828166417, 498538225, 1006178691, 477354522, 179031226, 770308768, 945038317, 308326183, 704586551, 130744872, 585486376, 860479864, 803172997, 531558210, 689634761, 355692694, 183352403, 184346468, 121894646, 977337008, 355056156, 990137831, 1034723767, 456355875, 755580748, 454778331, 289205048, 583258388, 979172834, 654804697, 443995019, 295542433, 588486301, 86286843, 32128379, 860252579, 491018363, 845465939, 489475646, 640538340, 165534749, 432780620, 749805017, 826142888, 733251273, 504095490, 131950424, 913784975, 375314023, 639999619, 268507801, 293906344, 773090641, 288633098, 530503547, 1012913369, 299049184, 998525275, 181170327, 436113910, 477944924, 218077589, 644902783, 828255849, 749441215, 36658487, 275397531, 1015262247, 513014515, 812159468, 212888803, 119991066, 184845097, 839855969, 198084068, 862192189, 907733106, 931353600, 493936301, 49623868, 78809180, 567486493, 184367085, 750306127, 367462023, 569038766, 865180520, 506119824, 887552931, 371645504, 694504054, 2251901, 1005171136, 700187415, 40422681, 4943553, 800634806, 845647901, 470389218, 320120939, 188014533, 112709177, 730011524, 879244261, 29845114, 67273858, 1041624602, 292140418, 219605585, 760340715, 66328503, 539267931, 826426993, 944645216, 865372125, 703665398, 828168391, 143659552, 1057841328, 943711466, 286316312, 14537029, 631488476, 838190052, 369429998, 1057625294, 1029709307, 782840236, 714367389, 110357871, 771566338, 355014838, 963377866, 259434299, 951571155, 828413476, 976940481, 756612118, 57620647, 1054846356, 338907788, 783245907, 372671137, 1040562556, 864651584, 619888710, 853873706, 317348899, 153146164, 826915615, 655395921, 145688644, 677582099, 896841465, 935906220, 724673061, 862261500, 868105601, 963923753, 937520005, 400577202, 295212069, 1053453326, 997368481, 515898186, 824406877, 845577230, 372859034, 607234608, 32410332, 113917576, 122517096, 25748545, 51560056, 823146607, 874764283, 149928331, 667104997, 566558230, 966463170, 957626439, 284191723, 1063542121, 785802714, 823612027, 417303939, 390949714, 364242737, 524812497, 281535618, 766577286, 358017355, 812101928, 203647222, 323087253, 717869233, 845726417, 1000581925, 393562077, 210788703, 324852217, 766478710, 297712075, 335736357, 124481773, 574914085, 408661815, 538274489, 662184327, 295568975, 126425711, 691710079, 247169865, 799221259, 516767293, 1046573005, 673692485, 529305021, 511635733, 345287141, 142722808, 989356852, 689961257, 871590132, 946556932, 942051191, 35349028, 264702807, 828788659, 72030783, 225271127, 1014863941, 556154891, 675895783, 453467316, 746315699, 959846858, 196547667, 775227317, 1058515102, 1035152237, 497188848, 300806044, 275970614, 77893469, 955988820, 215928554, 345176651, 134464699, 308410112, 583554186, 628870703, 660713230, 198091801, 46879564, 700400832, 153433642, 977059908, 361085358, 447475716, 486129068, 404667437, 60248876, 864052146, 19836924, 1022283687, 426039780, 972319478, 1021012586, 546289709, 1037423897, 596763775, 699806890, 595584819, 52297657, 258706799, 767891425, 484350801, 501894531, 340786491, 575917744, 623364085, 641182428, 959131917, 451340385, 436999641, 112310257, 175016610, 406661003, 993544974, 260912802, 923933040, 25481771, 42932833, 791310037, 293269993, 550453478, 100383278, 286664658, 621193516, 941142439, 823818673, 634181736, 34327981, 1040314972, 633210598, 896844195, 443124414, 245913798, 569997531, 70077324, 527160048, 671185751, 208544302, 379363575, 49782709, 531495302, 738963624, 81291585, 912162055, 612175813, 360250118, 726475664, 305693985, 739302844, 237690832, 423745285, 959425366, 1024081956, 573364737, 630086335, 630247714, 636289200, 589572087, 275096198, 778725581, 491631373, 739564692, 324850540, 393519785, 23282807, 318391801, 109492785, 474166041, 468495045, 625851766, 1025874121, 152410662, 238253289, 146294914, 313046939, 30947448, 701573980, 435265, 271904146, 540923520, 559490018, 242235269, 837081173, 284662195, 705657766, 293411015, 473159330, 772838300, 222930023, 28545920, 1061701295, 519935219, 696677278, 64029778, 490565103, 301396704, 528076842, 308815733, 740967057, 756061851, 819667499, 882498693, 706782983, 292421694, 7451883, 611162712, 861144233, 904590233, 19276216, 599843450, 432232727, 62160997, 266565492, 784571934, 628926507, 981088558, 1000298279, 15581147, 230999323, 598908537, 1054838503, 916922338, 726470969, 235272870, 572730753, 295705555, 403631888, 201873402, 444499534, 718749595, 623769284, 516451453, 780841231, 812713087, 862199930, 914211126, 1018921007, 677245677, 814246303, 134209137, 767838413, 388645130, 543918705, 315287681, 491725179, 375676115, 220853925, 937284941, 177643740, 244384547, 292203409, 748028398, 654720307, 379515892, 814532428, 301096899, 977235309, 351606322, 499332195, 233800208, 1037860064, 429020832, 344208179, 87393698, 578878724, 302749373, 294593051, 103718492, 920549815, 169001468, 826499935, 1044626942, 812359408, 549528755, 162911100, 653743306, 727453349, 756832796, 793235217, 626884280, 857265828, 856521792, 679195607, 256653726, 520966655, 423876402, 858594255, 437488231, 1030277600, 950621632, 351483743, 578260391, 709917580, 343463690, 721722972, 323838172, 907134299, 593770255, 833831974, 710526171, 543911009, 748048799, 716127166, 466689920, 703234072, 975810811, 650966837, 207269421, 761079503, 58466250, 271803427, 1002726369, 57776590, 770410107, 48626863, 825569023, 629285364, 986328278, 555419807, 341524747, 491474329, 175934492, 163948541, 868606193, 178164046, 469817898, 139035946, 1031305290, 427205165, 453096381, 18475030, 19445132, 686967146, 657000996, 86486580, 861751343, 780748320, 713859795, 50319680, 567073041, 205573583, 568251256, 817896103, 341855471, 420395130, 568001364, 921401153, 325640838, 308022299, 348915763, 561228672, 414939591, 1011595995, 841944404, 932737520, 166053507, 232244365, 91917119, 952170208, 623816576, 422827312, 1009939142, 200704843, 520047529, 54059347, 597618297, 1066956443, 29273985, 1041536985, 220242295, 506781374, 673337142, 537097957, 737505765, 895341490, 608034937, 512568761, 246733407, 1013079292, 733317819, 664083481, 398079842, 176608676, 127863716, 518990907, 1068551301, 867425818, 229173018, 380023384, 246726461, 788004225, 635260589, 838666991, 134747428, 182668810, 683022974, 254924019, 584166202, 1051800331, 790790617, 341869859, 332138964, 145321714, 69715397, 894244674, 553609912, 409735186, 1037200496, 669238000, 711999519, 542053225, 1046501901, 1053722989, 994293288, 472709975, 685143653, 953558655, 498125295, 940274213, 1004889629, 331336855, 996895130, 118760895, 394464633, 477688141, 983868196, 306005784, 61897914, 798609574, 992644531, 749537207, 267224910, 138945431, 117443269, 242365504, 359170220, 621281752, 706078233, 86439533, 979049090, 750334944, 458485404, 153522402, 311705024, 89209852, 29080784, 388741195, 339577592, 449082873, 654289348, 131133991, 238409508, 538814694, 976327335, 169011765, 878438578, 689105698, 337429169, 263245929, 345308399, 145030931, 151838362, 447768322, 920470042, 800482716, 593524115, 986567725, 615705950, 778202185, 738223872, 991197816, 19151370, 815390870, 1065585648, 983089374, 433798019, 843022306, 702788258, 305113001, 698541689, 1064780219, 966626476, 45088814, 298384946, 118490000, 964200912, 967448896, 312572982, 328132346, 859942452, 763316063, 857673087, 489870619, 839770923, 724878910, 376782137, 958737023, 326919181, 899228509, 926925526, 88346434, 176151702, 2087440, 964859944, 585040916, 315497059, 510520217, 494459069, 859743747, 627430232, 753855265, 535600864, 133188544, 720814968, 505378598, 729560971, 137636128, 532544145, 338701701, 795434740, 1028894096, 358675528, 426040241, 508389907, 306070668, 94032400, 760422811, 497867925, 845254564, 813200238, 934897021, 140208096, 201591166, 239679504, 802015799, 163563521, 242173350, 271091000, 220298334, 489500075, 827663692, 899632498, 1034379675, 439093668, 183479134, 968797330, 532986925, 915016931, 432424982, 288259327, 751234899, 459668279, 809863315, 70152097, 992887561, 413264943, 24839290, 344461788, 453950624, 141848120, 876827937, 59565178, 984181172, 966141267, 909776370, 664488174, 1026849585, 715476122, 536823842, 42442147, 475740868, 589774700, 485158426, 492898600, 693750518, 301638558, 30440278, 280731070, 607834731, 864752010, 529418639, 314438424, 399585889, 817097010, 362406373, 392722070, 397778776, 1014227227, 429396694, 89844690, 708130100, 223817721, 135321208, 607043686, 368664437, 711891602, 305906724, 274557935, 123549420, 421055575, 332401099, 772117212, 888498893, 818948695, 627461043, 913134821, 458523945, 313680197, 713663361, 128662359, 978717773, 732142081, 174275305, 604934658, 836581464, 215349752, 988273189, 256312825, 63349609, 921998978, 89138921, 586256420, 576357898, 1036170565, 307174146, 1056358144, 19798319, 900995320, 834499754, 252337169, 732226720, 155594228, 552481765, 161638757, 623766356, 972664273, 170298779, 325338299, 434725352, 842824229, 1031721725, 749685737, 29929230, 292695640, 502128019, 818992678, 941765852, 244514593, 1065024962, 996855374, 924847527, 488318756, 229188821, 418523279, 487341162, 433473797, 996260593, 506032340, 949040872, 1033771070, 375837243, 749794059, 722876622, 425904585, 543309332, 283120637, 97997950, 257617351, 79221579, 311705170, 166920030, 707740060, 715883309, 647197395, 830277507, 613410494, 629432007, 165631593, 406993736, 456112496, 674829759, 87423828, 960589152, 1045481260, 679319860, 347818661, 194571298, 247987330, 975331176, 1028756688, 228410399, 181530782, 318471184, 632228970, 581198571, 749674349, 656184495, 424624356, 701330975, 470603853, 536677994, 930598367, 602697817, 217923821, 1043686945, 726926019, 882562403, 749156467, 645441821, 445363417, 455464665, 86774116, 20857154, 243324130, 727910796, 903412846, 793543800, 378173611, 767122090, 333841927, 283811850, 356110847, 948905710, 561102036, 87781069, 930472164, 75132848, 349342973, 952075228, 531771008, 713377873, 984648299, 817478627, 388553473, 463101505, 267699120, 800133177, 913026011, 598144444, 812269546, 110156332, 698189989, 738314515, 401929912, 34647636, 694279693, 1012493981, 678191717, 297555164, 798240279, 771666859, 421990681, 726743496, 132616080, 219752682, 1017850584, 256559214, 370702881, 349426706, 823417466, 574644787, 611085200, 729160426, 428478906, 164058328, 21587584, 380525166, 606964509, 486402864, 100679803, 184356099, 128993460, 192747944, 440825274, 363080117, 529204676, 158254614, 3470281, 933073045, 992272779, 144914696, 698879514, 671145502, 51177673, 983759168, 256584704, 931233041, 219494834, 563257113, 1057135254, 527165074, 745198164, 673828975, 640042217, 155171558, 622207153, 113240611, 972598860, 74819243, 169232437, 1007874577, 156696932, 916853800, 744551492, 1055291944, 762495134, 843978731, 517735155, 732166996, 669778758, 381996488, 22893735, 749172078, 659353714, 147287892, 226481556, 229866141, 996553687, 74094605, 997954693, 497807954, 109567954, 842199111, 403859961, 1055535860, 843039376, 650482628, 277910287, 228326879, 258325956, 876610815, 104136430, 793771012, 1022517426, 372878007, 1072179921, 589383455, 581091369, 294708369, 1001605365, 329441735, 392664765, 415008106, 1028289827, 128438783, 787633743, 680501028, 387785848, 458417177, 1012550677, 921373148, 419635038, 187743856, 350468852, 1039189308, 270975862, 811865191, 56631120, 848071354, 182538184, 206932796, 262661274, 1449120, 751969877, 789253806, 895799546, 622991664, 152547190, 153950613, 227817905, 106852898, 405085987, 829310839, 333655873, 812415979, 876804243, 559887726, 912816016, 761676236, 440097982, 1045684790, 443217483, 360380020, 89566185, 432108483, 43981272, 816258621, 79294370, 771137592, 80336694, 314018593, 942096595, 714535171, 106037299, 115572798, 714003945, 971598048, 865001915, 408326173, 620856520, 662595222, 42505482, 605442375, 127249398, 640394546, 45746236, 124493269, 342094247, 227731313, 998084515, 816233800, 221968838, 670506511, 550141779, 363375201, 290920302, 573450557, 900951, 628064897, 757347611, 586444255, 210338429, 831288672, 1000813206, 884548654, 1064839514, 962775613, 1040487003, 575126363, 963828234, 149790707, 298837094, 934600502, 134851345, 863745461, 193890750, 999537264, 409407753, 257942719, 722404793, 908657597, 858754904, 681785691, 239831581, 260898636, 251598937, 1052849861, 848389989, 257077674, 814738818, 229489111, 698218725, 1035817383, 88075326, 1041340596, 96544091, 408341747, 308732935, 680453102, 278097228, 296066798, 514145903, 87939375, 697903748, 269371192, 687741477, 661336104, 440641573, 461949744, 1067284725, 496213010, 846385461, 1030759305, 683575830, 514512858, 851229334, 448514042, 899863546, 889480069, 563351031, 548031842, 1032679065, 329649322, 149945628, 152223790, 699752725, 497088474, 646957048, 487227016, 798895203, 92686274, 650795805, 275046148, 872062778, 555238581, 59848979, 816464400, 135767482, 893832804, 1044677111, 369369603, 749154772, 755775890, 556687033, 76022896, 17667771, 1001448081, 901272187, 395904502, 494731279, 623621110, 676263131, 859590981, 653103774, 1063230948, 853526472, 1017645531, 303027295, 322227005, 656387234, 809046044, 258913886, 262651250, 42237326, 193702639, 807532843, 597948178, 447791389, 612907208, 698707565, 119776315, 583126009, 805155154, 671416605, 822510418, 1004368997, 883292283, 1037868156, 733154522, 387360965, 405147684, 362749881, 487892992, 851069771, 825155668, 622594622, 1057548767, 206446959, 485473301, 867536755, 409350045, 375571339, 765095658, 457137652, 720707770, 672870529, 202473095, 883762912, 964625264, 268460074, 486552513, 638001073, 872970007, 742372737, 985232242, 452931424, 216834484, 776434623, 715421797, 391801594, 567543037, 448147669, 871150053, 22171419, 368184500, 981162816, 509804512, 382534969, 846569782, 610567213, 755583843, 338160572, 702871810, 657841594, 1059038165, 1068345139, 133573357, 949763175, 430966394, 43900216, 302791758, 511554237, 784244384, 3518823, 364224175, 741248077, 871594554, 656892986, 26890385, 959579455, 437709853, 60332661, 178234170, 674660669, 698696275, 129700914, 808334963, 776274969, 148761698, 138507690, 627047570, 164098216, 379841425, 147366913, 101626158, 148380146, 991274164, 502344826, 277669241, 127187146, 915579785, 618440485, 405149337, 376468816, 927616702, 239420216, 879620241, 1050165172, 596928525, 317651008, 26877898, 550841968, 1024940644, 958603121, 898112320, 397238915, 1010140710, 177435238, 946934267, 878304813, 994035524, 452047345, 42752789, 196451146, 686115318, 272875592, 300039057, 273557661, 722748242, 984370233, 796872287, 359668045, 839135961, 863437981, 213429340, 542170967, 688206677, 616952551, 887919132, 521304086, 171584523, 427003709, 605921711, 253632356, 169624311, 788808983, 222669227, 587774319, 377400510, 536861619, 25389031, 99300654, 1069374770, 659357999, 168101879, 44360119, 66295181, 420087685, 395533036, 608202612, 233015990, 1048840519, 382677958, 71066049, 808969182, 648283372, 355643698, 125604617, 470712783, 596541242, 986527640, 355536119, 131280154, 579538911, 432473672, 484699238, 47602740, 646786656, 244541185, 85031436, 903398384, 268401412, 408863335, 861735714, 35406730, 780037115, 679961612, 313085958, 614885794, 24728139, 465117887, 674126330, 1008603799, 402034736, 24835592, 73556548, 1039666499, 962461087, 818923676, 691935522, 980344879, 303390839, 551759435, 220595286, 542330432, 760329184, 299264670, 953753158, 962740971, 542244458, 906936623, 441753087, 207511181, 855552502, 504320672, 136449621, 971216880, 855113523, 158490889, 1046152137, 1066350541, 350426279, 868583721, 907873830, 318908065, 3677586, 523007820, 462437873, 534551434, 466137410, 810819331, 668792379, 130011957, 956331396, 239247572, 844543503, 942771582, 423899977, 1011147576, 359762660, 911105388, 731895682, 877640289, 372871475, 472457577, 610111282, 622560049, 560077892, 954390154, 586771089, 662612129, 709865869, 960873780, 738198511, 405772478, 260033194, 686346383, 834554584, 470375639, 324435470, 272332379, 486282083, 419112251, 435940166, 146699538, 256324359, 269982337, 291754032, 410140647, 360526930, 128068134, 341849450, 155620713, 45024911, 918108116, 807695789, 225996349, 483016323, 816931954, 136832117, 936569335, 994687356, 187823899, 798964409, 221512, 1042799430, 317060145, 238562351, 1057434762, 579022788, 816331865, 356192662, 770908246, 45586066, 1018141739, 861790046, 350946482, 154317688, 503339096, 641409930, 788169583, 481042350, 398806557, 858408237, 1044725450, 364313885, 570583558, 899077452, 955531729, 466523652, 631218382, 81933354, 300320119, 1013861116, 202011089, 649047839, 918439844, 945497244, 1073264976, 447045994, 110805422, 346160175, 286484055, 896368820, 282267835, 646995995, 385106557, 476295087, 1023037117, 907150959, 1000412162, 720315669, 169069980, 102598152, 866512086, 339730736, 486135401, 1009038266, 753006947, 150353374, 624925151, 578601408, 1047893143, 1073449831, 662821816, 48969402, 568444123, 943938520, 748235869, 337079117, 314385008, 133459279, 74496368, 275750585, 944100808, 365521435, 588845102, 379947664, 212053591, 87252586, 563968200, 957482063, 589024623, 739725168, 553648466, 692665981, 349026342, 437475736, 413845977, 919626321, 549103886, 453632685, 811352515, 68748003, 534573811, 1048134008, 949875554, 476381212, 570491593, 776022218, 954151038, 829841080, 17808435, 598654347, 89697072, 949202030, 367432068, 446234742, 970063713, 372098227, 440358169, 1052579512, 339982922, 187938969, 590596060, 180604938, 801625794, 369522817, 806226154, 304980269, 848789316, 470638007, 245439336, 27696578, 642219962, 404362684, 883267124, 317127545, 104889625, 978251030, 760883453, 283927413, 72844621, 481642076, 338378850, 73278156, 430208515, 736410305, 270441363, 705812956, 5199189, 706228529, 1052217462, 758803691, 563731654, 30551260, 185671069, 619313814, 539319127, 1020947148, 819438161, 127286965, 989479966, 399649928, 337693140, 536719223, 448859877, 897191485, 454081937, 357297208, 554792497, 662504965, 87445471, 754557252, 483011997, 125835349, 392361996, 252638703, 915405566, 1023083183, 910845722, 204990414, 281536225, 747782331, 786073851, 523071738, 195817790, 1013629563, 512586622, 466852848, 38909146, 876191237, 389043498, 453424861, 552911698, 58760546, 374462208, 201553517, 480554630, 456708710, 947289793, 245120599, 1010175883, 1022451247, 1021758951, 35871927, 716191431, 502602927, 324707067, 707596083, 38685102, 605713497, 91658307, 919095671, 489000517, 387685014, 646513449, 587710224, 380448557, 630485377, 145122964, 1032035570, 847105484, 1000624103, 83801343, 596013581, 726274993, 897401371, 67464927, 869929445, 946472793, 417807393, 683376125, 322316314, 671500691, 242947080, 878023013, 919036985, 699031304, 391411422, 44133015, 42239596, 141007969, 696844868, 56064723, 749568270, 318452883, 615479690, 154979682, 371964747, 123950856, 6938693, 539315523, 144352847, 120505181, 40060339, 923655424, 328926214, 199898573, 906593722, 559984556, 699106206, 935927669, 527706987, 114296564, 803432255, 285998118, 790093806, 550734556, 1057105229, 134716100, 1035253918, 234409844, 1040766259, 259873172, 811584742, 576170554, 640887697, 418518258, 975910675, 142227013, 828922989, 1021452376, 28011818, 861679404, 625680668, 357129476, 250705755, 505235858, 1010987363, 607591940, 522603061, 878377707, 514457339, 599717219, 113540918, 85865089, 327648384, 309003998, 766213805, 765722494, 550617506, 356001976, 467918298, 933695995, 35699306, 900001076, 439858311, 1018565657, 36123420, 796699732, 1004341810, 1049383196, 98415043, 1047481783, 539030455, 912670095, 809378640, 841718872, 619233207, 997279981, 1017741637, 222157663, 628490414, 723967931, 363300820, 916201215, 54311718, 11566725, 551130313, 216719949, 332427110, 161927856, 413895737, 952727017, 47621959, 6480947, 729793856, 892421445, 501038912, 411718361, 363557563, 148852581, 406410163, 394127911, 879910322, 330755123, 98015024, 151460148, 235512540, 1042852336, 105057108, 1001663404, 1008612625, 79610790, 486608521, 717027650, 597525230, 377958121, 94581922, 321312895, 739416440, 908548464, 906937485, 1023890074, 780324369, 897565444, 747771168, 995093588, 131308798, 739579388, 836100320, 858766921, 769301434, 664721341, 832316904, 5858682, 817263611, 800902516, 405472657, 537082767, 963127057, 265784267, 366877419, 413873796, 3579818, 723382417, 168956224, 275897854, 751189743, 448230938, 140078604, 869638815, 91956561, 551752955, 561983863, 54744305, 338705786, 699738304, 7708980, 160149258, 498545963, 36177869, 994884309, 383287525, 146614244, 185567637, 841426447, 1053609979, 112717015, 894374391, 758490471, 708363293, 278869612, 74625195, 365596355, 103224219, 1053268628, 747138063, 913373533, 435700977, 145329897, 1067254323, 632201019, 82480068, 1052918312, 254186231, 597549346, 727282854, 923503966, 485096257, 675709167, 928124369, 810588683, 674451401, 272720541, 940512038, 212554881, 818433197, 496196393, 293350873, 24842091, 372367750, 643604376, 468783243, 959130700, 86991315, 54842446, 308363954, 240596581, 201892470, 536211442, 83961424, 523995584, 459160547, 497353755, 748643357, 135460222, 516576498, 884202732, 513375855, 924100596, 11647450, 504404098, 306194809, 461201420, 825867075, 224683525, 290686790, 797418983, 68599515, 236178054, 522601283, 687469529, 345501338, 1049828887, 684234236, 204512429, 386030455, 327883945, 366836508, 795845514, 792024877, 890274123, 214786033, 1045014939, 809934814, 1018813083, 956452063, 902917305, 788037172, 561281985, 306654267, 748891201, 807156664, 651684748, 236109315, 146783171, 384277294, 239828911, 574665835, 580265173, 328624739, 33613158, 1055681139, 382328100, 765089551, 744649281, 435516052, 526729216, 974355853, 667159789, 13592689, 999759191, 973269678, 614227267, 946841536, 848768339, 494145312, 293468765, 130425999, 708218805, 654049729, 1007018615, 318755041, 256806765, 105849182, 557917735, 882088551, 763327287, 775326824, 262295558, 30793181, 28137935, 979019097, 795064285, 797533563, 520048746, 949352204, 1033935579, 4150678, 411761281, 661226933, 485014196, 558100455, 771784684, 528829897, 232971933, 675962028, 967544430, 944712904, 795611195, 877604600, 996627028, 403999631, 489854085, 236387609, 12309238, 1000008603, 328538191, 372911205, 657967847, 700090025, 189738775, 321223556, 57430626, 816326178, 202801576, 895837916, 199421032, 491286445, 476164151, 491210192, 572589745, 246750105, 623982673, 597736401, 1038703945, 298967841, 11352322, 916579460, 708900102, 560396169, 612295458, 380193429, 618588975, 175045460, 347555800, 285587304, 668989071, 913210405, 273406541, 508484637, 242431092, 964494005, 151831043, 55453671, 848706564, 37308275, 124043987, 849820332, 833116635, 589022124, 383504443, 179437324, 907691876, 822584149, 884676411, 1019345778, 23685783, 742579639, 298072896, 140183062, 381946115, 994511306, 457716794, 105377689, 949550305, 311727128, 219316199, 765852517, 813649658, 391032727, 448088439, 724366718, 180431047, 1048512990, 652852364, 470051004, 50141294, 473464945, 644161366, 744186186, 383791777, 123652758, 1047631045, 238238427, 581840850, 1072566794, 136284849, 522549562, 463324280, 470241401, 488214252, 147466898, 854883745, 743224867, 443461499, 520398030, 660800671, 876484240, 257712623, 694865258, 197081701, 966418644, 759572614, 626942068, 835770732, 878931719, 479257134, 54573680, 772138986, 499473364, 823419074, 972390733, 227804116, 136601488, 1013681521, 748509221, 499098105, 621420833, 992317133, 137375696, 416242568, 189366197, 68179109, 890986419, 1026470749, 553027792, 866813839, 155612094, 76067887, 933270526, 641433551, 870627087, 371829785, 286251380, 673555808, 1045847323, 593949962, 901998418, 191332774, 348232572, 910354546, 801478721, 773640733, 1039327831, 939690013, 584833349, 467473171, 458352722, 876717410, 995254598, 829583452, 415960681, 1033184920, 964339261, 316474862, 940608323, 722545352, 156560506, 484184077, 123541340, 544189548, 914077895, 851042144, 362092869, 989258074, 764713851, 541258567, 247036455, 107134259, 693639, 460876484, 124633997, 771520776, 615743422, 284202431, 447601304, 639133168, 689967555, 200827523, 79872317, 618282704, 137147915, 507880491, 594216529, 585792073, 160596494, 238582250, 649659459, 429366589, 417965033, 353500901, 811328040, 16960633, 298444869, 604589306, 783547672, 574575135, 501115326, 292615526, 595689364, 888633139, 765091399, 619747163, 1012730820, 396870716, 151162079, 525483131, 644719656, 924996076, 904422235, 659619522, 503529571, 1057400100, 627920276, 1008458692, 463077462, 939115545, 807608896, 563883774, 818617548, 904318718, 979113769, 341921142, 540252596, 598881943, 801268919, 319372964, 1033167957, 977963972, 604026389, 478544864, 955097986, 1041079800, 1000604774, 991413396, 88770090, 365474020, 738246644, 620438042, 285788015, 498379380, 358030557, 277880442, 744741741, 616145416, 644846955, 610759039, 758900705, 947435575, 691039040, 338973946, 451587668, 809341903, 555955623, 116969388, 662225540, 884213730, 934056954, 302335796, 872830390, 933774919, 815895391, 766076335, 598256438, 602339883, 4367856, 396270743, 26586260, 567160005, 913318012, 352532408, 440899359, 209809472, 298638536, 190126861, 617747195, 177921760, 1035715872, 878128461, 1060288849, 940089564, 612297896, 201772893, 873264132, 388776262, 439111012, 1005743453, 694196188, 789652824, 905088047, 817379098, 951125150, 490900956, 913898339, 869953824, 577557048, 967349625, 506080830, 68655448, 658333434, 961560277, 879417002, 543874931, 622431670, 686976871, 1007540842, 927664, 608061207, 71072161, 150772223, 969539489, 826862166, 766670548, 213049245, 741698000, 913909977, 569259080, 1040586680, 865268861, 683277382, 821041090, 556059318, 392284908, 296720405, 734391858, 480090595, 319803037, 850308347, 767076553, 381362839, 494454021, 942158320, 706546030, 933200596, 731798616, 26635093, 360317379, 760835534, 728361343, 769942384, 867080515, 597682918, 824004005, 515468774, 649921957, 160371352, 223833386, 747841651, 1024845845, 771481337, 690737105, 6720737, 530120837, 212592320, 727745660, 158585802, 708974513, 104742553, 560514901, 397325816, 581464604, 86309307, 319583574, 263704302, 475254959, 388094733, 950562569, 83216974, 902605351, 159830872, 119864478, 912047590, 269992886, 640284212, 895821236, 506832511, 858070793, 180959356, 540527056, 410198296, 330548244, 344809241, 459782057, 383760697, 1037940139, 375946523, 465120320, 117770927, 418204201, 565144238, 716618530, 342429796, 354648040, 413020231, 322339443, 885301387, 987126690, 47560344, 869182257, 181606636, 735855855, 640845677, 197221869, 572905377, 796113421, 947032974, 248126105, 184116143, 704825498, 344743277, 217871357, 451700934, 17293474, 800511986, 533104084, 611591435, 88714891, 460484264, 795657723, 1034836095, 49569700, 46113704, 176311039, 969935165, 899227768, 713992643, 28653000, 56722523, 852376994, 858646337, 398703489, 819594371, 962582574, 885858457, 935903300, 470496011, 811321258, 690607789, 726701573, 567400270, 154979709, 535845019, 795304634, 873237570, 278834951, 370760616, 1048315956, 236414941, 779389863, 187203181, 634012799, 706040354, 942613597, 1014978728, 1060259771, 860627819, 1018610408, 225419154, 739143607, 254691641, 213244359, 206925299, 715547503, 268268711, 1052123847, 228209254, 360060866, 496558612, 890903053, 478466702, 1004845364, 424336124, 1039415608, 300545376, 297986278, 494234821, 264273712, 347434736, 329203965, 101565655, 835717656, 441648591, 1019286920, 625613543, 1001287500, 42870337, 70432442, 959481456, 861426690, 1038252616, 727207159, 218831705, 509551062, 358691945, 806288165, 196562312, 288168098, 659931233, 228787503, 59850180, 827504940, 1025781242, 31531648, 305546774, 106064060, 208074064, 599859615, 504466354, 636778581, 793290927, 347648118, 393907896, 713297871, 292689522, 893531318, 841651242, 328195680, 24527466, 28322005, 955269728, 911752786, 71888976, 207933017, 379453271, 91802573, 106636909, 78062553, 739072265, 300482790, 605647877, 378552723, 601553874, 21180357, 907356035, 581963092, 164678589, 732635074, 257606186, 882798423, 163996350, 747410561, 1010041003, 628549420, 486532442, 444996487, 791518066, 363829679, 582416187, 735132901, 348224858, 689400031, 459829311, 806788545, 719821018, 378065451, 514964630, 1044115044, 307278286, 1051945014, 279707753, 20345364, 565498718, 854888796, 310545521, 625304981, 745374384, 938186534, 897130340, 76996835, 922687576, 182396666, 46995307, 857265691, 922728438, 337787602, 660040122, 639224185, 89550329, 807141678, 90601795, 1022176450, 632173978, 665866328, 747686180, 420447108, 215897533, 224923024, 419139782, 811888402, 716269191, 668248521, 557128517, 638701985, 924613629, 735892077, 413255225, 342464584, 980298561, 821139683, 623187616, 950545147, 132383476, 395988447, 387328564, 375693193, 493894803, 575242294, 507387252, 779801610, 313285993, 1010642378, 209793826, 706096961, 429807097, 217128202, 596717461, 405284487, 1020120214, 954462829, 719574770, 753168772, 439596320, 35478914, 468030645, 765619663, 379337743, 798735030, 462242678, 567108118, 969926720, 149976049, 829223256, 899051262, 95554526, 945750952, 457441923, 897683778, 797201641, 545922652, 597435157, 538586449, 946772601, 727583558, 859157432, 183931314, 844436768, 656478499, 129462145, 753427906, 327402141, 130295454, 932195987, 16798106, 462504617, 109310449, 67270043, 553744182, 352326908, 115825527, 491676515, 964023066, 577532078, 906943430, 138017885, 27515318, 140738188, 774098410, 62336928, 375188182, 727657491, 808707158, 437721936, 148980726, 999640880, 231936614, 484514837, 341776592, 640980612, 855102637, 305296200, 301257624, 360878153, 367450, 51535930, 1024268333, 593323550, 293832038, 479297277, 962875103, 160885245, 50391934, 1039752743, 733933583, 331515019, 550999353, 187984588, 580439509, 634771612, 278186501, 398752908, 1030501262, 347053252, 527491187, 913571735, 506594850, 420401212, 192251928, 726801859, 779852677, 655676084, 295972484, 505968478, 740873621, 1007848870, 206149314, 311768708, 862949942, 728645911, 587415685, 998839004, 502427150, 506032434, 583065069, 485534333, 383922555, 558883793, 624468570, 352233082, 451080369, 123172029, 315455935, 626115422, 662153863, 987709573, 683693087, 905303543, 288004091, 909915690, 427989174, 513954463, 146367178, 772113706, 271779907, 717602998, 1008029058, 285245109, 916662760, 944819479, 570628804, 228635958, 935602061, 498201480, 79255801, 293787428, 981647331, 993549737, 811765836, 181257183, 725994332, 141784947, 609704346, 46855818, 615765454, 891971572, 252782803, 214425734, 437092984, 171631443, 663488186, 797031638, 674815111, 881918504, 185755823, 236838255, 951183117, 413373867, 151914035, 945323223, 373068954, 557880903, 377995469, 393850149, 757934580, 334725980, 417210491, 402403730, 548483475, 627712257, 726025853, 143881443, 1068169762, 612806759, 727316337, 175429601, 506999437, 209480549, 558447134, 614679146, 1062382558, 590939217, 501920205, 988588474, 85304418, 136196904, 787999787, 198136838, 4068989, 23539474, 729701286, 443209635, 230060634, 584377723, 830562440, 698661715, 253492753, 906686186, 553261255, 163219935, 228177048, 888679187, 505999300, 305752621, 1037681440, 949569206, 416077577, 546532607, 820780488, 337717645, 768188426, 991734204, 996673258, 290666232, 324183753, 947351490, 717234137, 956809296, 202919108, 206614323, 398347697, 553376245, 170498134, 141918573, 3101458, 310416445, 631739039, 11262392, 1031733536, 918218648, 882158373, 201551111, 797523364, 637043836, 534639801, 91965077, 758981284, 109170736, 659834788, 24993662, 247340890, 223874735, 671677673, 346248053, 654997016, 348647237, 841201336, 663478223, 259149796, 550224783, 925799819, 79839911, 743698953, 831735999, 123965808, 462624212, 856412623, 874370297, 475794417, 920158442, 372519149, 417724121, 408156711, 494763393, 655324673, 108515994, 639587923, 634450907, 894673888, 522436119, 362436799, 163684922, 441608663, 131026393, 153967000, 205384877, 427459698, 146176304, 346274924, 977130728, 42403970, 477186861, 269934110, 220800243, 280420426, 211577814, 301601967, 63831148, 431757197, 1058024079, 1039217469, 688076564, 576905709, 520010505, 840771308, 765274533, 560233817, 206090228, 656162556, 658597481, 895322712, 35563650, 698254410, 75941158, 818486976, 708023988, 196704476, 453519205, 105342297, 592432989, 13032221, 642549690, 140461352, 1055307474, 196714779, 895535443, 484240894, 866245255, 515158204, 359594217, 433953911, 251207484, 154566485, 602350388, 325400510, 707904350, 408895955, 281333130, 122149531, 174480637, 592779718, 1063147056, 39935665, 1037824254, 394688684, 213478766, 563243975, 1051409249, 257441889, 665820477, 710400281, 935991336, 518274695, 245358517, 744446464, 93955856, 36038242, 267413408, 310971593, 739732441, 83054724, 259475325, 396134049, 331308832, 940034963, 425267812, 1007163155, 798235384, 692210820, 1017711774, 656494431, 790706502, 808231004, 53106275, 93992509, 452474645, 463975682, 997985593, 749659813, 716292975, 616085724, 994042254, 336466776, 427492641, 856882062, 417613201, 213949884, 604366355, 461392729, 766748902, 465608401, 581807024, 934242115, 257605618, 708244548, 1005866712, 157833782, 814856716, 107726335, 409616335, 245767130, 164008280, 843083290, 47179352, 712847350, 1046236949, 634382745, 899035170, 745085291, 105628298, 867623023, 436087132, 624414188, 933808109, 481429789, 228784585, 602050829, 338394040, 181986551, 688034357, 494675181, 654240005, 155582869, 431993790, 823186145, 414983180, 1037926045, 113099963, 897051854, 878477742, 850294170, 206893212, 1041082613, 182290206, 688892301, 433385920, 348420499, 42028170, 640635865, 913715427, 136291748, 417069350, 197501721, 706381963, 1046292693, 286465966, 208407946, 993150743, 997755841, 954425392, 252159064, 392855020, 818083056, 858994498, 1013964960, 19826402, 161866437, 125222341, 1069967102, 464200699, 893045552, 802040699, 759227011, 810300188, 323459873, 904193417, 36831333, 934610283, 814378806, 211825227, 530610371, 162493982, 175489070, 880453266, 972165458, 588456951, 413805945, 752924442, 454557148, 287788608, 80771894, 162446525, 996260054, 399013475, 104403406, 573714614, 734882966, 904906186, 790567426, 665945460, 143665568, 1000702028, 175096212, 605852744, 815203838, 298391181, 142186255, 503087656, 1008017154, 562112551, 155138821, 324702331, 413533162, 602795117, 760154936, 145705958, 819929103, 947743385, 899406183, 26653862, 45976632, 675920905, 358722094, 705033697, 920115874, 456068816, 779198829, 350175264, 462226312, 960818709, 139652025, 32497498, 3936187, 225914786, 145887274, 425214555, 290807305, 1071549316, 704464466, 512705039, 115937668, 354639148, 804686485, 930857966, 1013395400, 423362660, 1000495030, 193687505, 433442319, 106221458, 18504755, 144197078, 285508731, 910422681, 897193514, 646235103, 803115007, 621360332, 688212496, 280061547, 618619650, 517364221, 653914646, 608328356, 191427078, 111748972, 382796082, 662315384, 329897561, 1007084146, 477703972, 331239348, 650336907, 924971465, 678856259, 295025667, 8796055, 906031335, 976277499, 209116673, 85596461, 454975072, 277731947, 165880359, 160553046, 460628461, 931571889, 180317207, 872307828, 175395036, 243161691, 189198777, 826531579, 753901747, 758475429, 217160119, 787064769, 441325034, 166102192, 1043864730, 682085481, 84461571, 632607822, 1022235301, 33539871, 715877720, 254126576, 791776535, 207468024, 652145430, 229318193, 129966800, 147783325, 112853886, 176933410, 785354612, 315213603, 363409341, 106560481, 734045889, 735940541, 262786948, 387717999, 1012243748, 614327212, 82752074, 688304318, 823784498, 976744789, 172809747, 346295213, 454052435, 991520492, 572089185, 600617532, 223997427, 758981133, 312001469, 572103601, 847201136, 649862402, 1054208448, 505106414, 778231000, 236125266, 303955118, 459256215, 951063722, 815736602, 300445323, 193797160, 458715448, 1056880740, 25757577, 1053719167, 558597038, 318330213, 111308830, 1034371703, 284334084, 728910770, 852768172, 869257795, 495999313, 40021262, 985029057, 966718482, 366899214, 923135901, 481540090, 453914835, 255083886, 499201796, 645916629, 359105811, 826285330, 5186034, 314755784, 414837888, 255507775, 1072450462, 778436467, 1050474766, 417646309, 961329147, 692821151, 206218980, 313425081, 88637586, 503318758, 33355171, 581699480, 837349873, 589931081, 536358799, 809366862, 129607857, 127210720, 492212321, 593789555, 757135517, 225193051, 900068440, 336251504, 172355860, 405784235, 307519132, 477086426, 796335535, 795034071, 1005629041, 910926077, 425151901, 1053289037, 347524144, 244552133, 73303688, 482805536, 863731379, 847353888, 196791867, 738972873, 943715969, 706560646, 793177265, 895043875, 489799549, 81948101, 734901706, 432651010, 431498537, 784982548, 921192376, 451966360, 243788253, 828199211, 477038319, 396857517, 7131450, 456204313, 175332025, 45981939, 345719685, 878301708, 377076974, 551900340, 673852122, 1008845319, 334727967, 228784538, 53946497, 352391305, 458861930, 591743873, 794264235, 189238205, 1051868030, 733103730, 807744184, 651378311, 965740435, 540423998, 231061732, 28596088, 858395960, 954913689, 271034817, 614464265, 720038706, 242241598, 45255198, 807240006, 886767803, 862506086, 138931609, 109214539, 127886533, 254644456, 71239223, 1037158818, 1053966895, 914188238, 828301505, 462820211, 788128646, 986417644, 90655589, 220359606, 127510243, 787725461, 244384012, 830792272, 509302218, 528676441, 497603546, 694221857, 129769630, 30666150, 1009895873, 949706379, 351661237, 350973882, 474526920, 109203149, 967715606, 879509079, 791714785, 451604758, 807806652, 373193113, 61650873, 176609975, 813179519, 994897972, 349099088, 828655435, 1057127889, 684078834, 692166864, 1038077169, 361293974, 345716582, 469334205, 179827388, 893086600, 700677937, 832167946, 323872377, 221169638, 466686809, 516465293, 100196775, 415391888, 611460697, 310207686, 512948104, 162120266, 243176063, 395101305, 55144059, 766152367, 262201506, 861636557, 96649414, 423676588, 722569388, 1069293295, 506289203, 271399522, 192948871, 363911227, 727765850, 649575166, 329674849, 642904449, 569935395, 61924819, 853227216, 972650899, 656175946, 147262706, 45964396, 169601495, 929320834, 961555223, 59119410, 1037402993, 464976895, 612001026, 97600430, 598869775, 779699476, 792379743, 46189372, 978980875, 1051098111, 414893384, 45169592, 109810274, 38329680, 857476715, 28679396, 730253121, 86437153, 603447483, 390083065, 574621952, 695771460, 1049421503, 683213651, 523513931, 663811676, 96435685, 757200951, 402437080, 836927079, 699102554, 325584185, 848698133, 949112225, 146257755, 903857870, 258260309, 360241807, 132171317, 492484374, 234288330, 178255165, 23797055, 99544991, 311711077, 149950916, 112541692, 740778458, 163083090, 61396811, 883790968, 450327085, 544587638, 754184110, 113442278, 912882846, 962153602, 863784106, 810042504, 444932380, 210118030, 257493271, 627517385, 120391253, 970804564, 68777648, 150303678, 140507063, 1028475592, 366267328, 497231062, 204869464, 438035418, 1038670797, 373666317, 875606284, 216255073, 261017761, 523454625, 49274839, 375367968, 327385531, 280250848, 852310291, 49724535, 756299659, 849304225, 14647943, 1020226968, 1012598872, 873733160, 620667327, 154340066, 575881669, 614315500, 973037281, 108126810, 304186351, 514604783, 900221818, 276821133, 515169877, 720224747, 480416952, 516634063, 126168388, 651728199, 670113901, 71153660, 123716135, 54239522, 912082408, 498055458, 42171702, 691781389, 967536498, 839082773, 934493857, 510990155, 24469963, 950705528, 127364196, 1030761789, 1030332102, 338523006, 478100399, 462995018, 21374690, 1038918049, 552015032, 639976918, 99466537, 79132255, 754237627, 956056093, 890015510, 878251812, 774466506, 989656968, 929395598, 729168891, 118086402, 928637256, 319951738, 944839059, 725680672, 93592402, 852601936, 204911228, 245479065, 616739629, 914341700, 1029372488, 881006799, 466621985, 904586987, 1038910256, 354233482, 728147053, 862724882, 618575511, 295622883, 352014880, 129261648, 736921459, 1073055287, 214469065, 688249043, 951129582, 344986486, 255609513, 557932375, 327586641, 46673909, 60623143, 771004481, 334635799, 891124469, 494805375, 891517462, 166327781, 696438438, 923857356, 468452163, 33992202, 1064069093, 665873670, 136102210, 909718035, 578929421, 183011045, 86967600, 769844224, 777732488, 689411606, 479677696, 219740002, 695321599, 884790061, 231901810, 1062232893, 443457796, 1068012360, 858605603, 891617354, 385205296, 195325331, 392002077, 144172931, 873086817, 1061547988, 289721656, 1021177865, 147941169, 640867109, 428099051, 773183989, 972761723, 150746162, 1054487613, 628155496, 997850341, 927631082, 610925425, 450450588, 124492349, 471546501, 603643757, 40408447, 804615935, 840670891, 806720646, 621433010, 127977183, 665724787, 187202944, 85956362, 58943267, 1032958056, 433199509, 419810937, 63602483, 774617652, 467935181, 640800367, 561766862, 446612935, 372391349, 362036050, 683478507, 711583742, 796041911, 283751407, 353910349, 884150932, 566646866, 210753609, 487209419, 330615240, 298601478, 890457246, 707795419, 609565292, 915845267, 765462543, 133376278, 592444636, 1046116112, 193432080, 61642400, 193495798, 922727190, 226526324, 597026525, 966651218, 824356662, 832593730, 31398110, 849218145, 409622616, 542514436, 572877770, 14190756, 959938148, 658632069, 754207570, 510278575, 533860909, 695442217, 322713797, 352859747, 17239178, 159088814, 974964798, 242383066, 203594951, 823544756, 999337804, 849559105, 457756291, 621947989, 672138156, 513344842, 819116569, 729223213, 342599131, 774752479, 608863473, 328368190, 418302817, 165231731, 245667309, 596323912, 545270228, 441241104, 191135204, 853950482, 730414510, 34785767, 602773977, 425665172, 549299437, 714229926, 947118039, 315048723, 234060667, 322745596, 649524832, 87315764, 37710080, 334697983, 104868563, 424064112, 614383862, 486766055, 593671521, 833202608, 787647046, 470686469, 950059272, 364124186, 954707357, 288789005, 1018831437, 590385234, 228463540, 618226026, 975765766, 928912866, 211040664, 961782029, 35194811, 291308083, 558492006, 149315202, 737712398, 717103747, 378054407, 1063693761, 709462132, 154681408, 1060313706, 873358362, 390328673, 118314856, 157593581, 788361786, 136676085, 601176790, 98260031, 702570903, 99839093, 1022101361, 742856242, 5826062, 592464130, 698333324, 954275104, 494579864, 1017480052, 1032167864, 13937598, 1071620251, 619358821, 667179046, 861016763, 916420165, 948801267, 59879131, 700844385, 535065946, 55205722, 314797936, 642429341, 513067883, 762677601, 782521479, 329360946, 202806440, 250562553, 966175234, 864867711, 416029565, 779435066, 317811834, 572523010, 804689054, 377223579, 873986724, 316267127, 242180485, 915312826, 733968260, 173289109, 1032884498, 345569760, 422624948, 782129219, 18615310, 838415013, 324881161, 105451652, 93093922, 95651665, 1006893056, 110074359, 464555580, 945877447, 916914308, 305966719, 927387755, 903540426, 524974226, 92488510, 787831620, 410540523, 599088631, 1038434261, 55106415, 310882871, 1003234842, 141786430, 714592604, 835328056, 339648545, 33229851, 1057519279, 1060019046, 236044440, 831382414, 531678580, 361412536, 548691214, 386703094, 4161846, 18837444, 520328209, 663959138, 374054257, 462300452, 787412134, 1070169992, 684818290, 189757846, 924568412, 984457367, 1055907399, 858601512, 11447272, 182099765, 1029381059, 817830632, 602056691, 526660766, 730888559, 35739244, 895825773, 210223173, 875605840, 776872756, 318297124, 813744114, 309748221, 688644600, 210102533, 1068769754, 636710588, 1062464708, 726944877, 206250653, 113295993, 685435167, 701026096, 974062716, 884103554, 176928341, 1041355543, 71554641, 526040548, 930813752, 393152046, 979904339, 956197918, 617339536, 394637705, 52707644, 471079843, 778227244, 100660897, 507359992, 138343118, 46309179, 789938170, 434009441, 683100990, 395365664, 1044668102, 366007733, 643723747, 890714003, 1070150853, 1031052727, 263842797, 143718582, 315170469, 582757806, 907620406, 239961998, 132611259, 413558367, 117685852, 802805266, 255297888, 2029811, 413185038, 811017112, 1066434853, 564502458, 985569311, 367675806, 795415440, 645850802, 458402100, 392692167, 933045846, 477192626, 333638921, 333956464, 509818703, 811992336, 985501362, 1017724687, 256271667, 804922271, 929904300, 544042061, 290903114, 75668402, 702181355, 528316181, 525043302, 481523630, 356119060, 150469705, 878143699, 941823931, 776594893, 214162627, 757439963, 81180861, 682023301, 723634688, 425713662, 140177047, 242209920, 126356207, 700670821, 1026948397, 915362092, 749338, 379930009, 677594472, 889097908, 1054446991, 373102733, 934992435, 273929149, 169060161, 791083116, 760628358, 83733175, 717131658, 602553080, 162715951, 190646442, 932102337, 248362741, 458330933, 63212013, 732764050, 819975458, 1443145, 722371703, 402110805, 382316275, 579444349, 623764749, 627051143, 407887436, 228978913, 89393048, 693022502, 267455979, 834414930, 786991361, 202009973, 224076184, 140907067, 811790474, 325288548, 330300384, 971019525, 605659066, 833483251, 700110666, 364236213, 91755773, 791890512, 922132659, 575063641, 969488244, 121291432, 133950006, 361863037, 554041370, 699292903, 1066681330, 872030446, 236046419, 643158578, 991842037, 713234637, 914217814, 323834022, 684572210, 671467369, 344777986, 158567576, 310901279, 1020690229, 689310868, 320540893, 497554204, 908841058, 931187806, 368401705, 286084966, 934927636, 682384046, 8195810, 674540818, 975704768, 246932309, 528353994, 369576642, 626094967, 317929490, 723567286, 540972951, 764967863, 779133475, 1026617510, 109658794, 416173604, 47500662, 841273076, 77822212, 240037769, 276733480, 19677296, 1007094541, 353687638, 529365127, 336858441, 314452917, 652909625, 258764036, 387214448, 111546728, 871032639, 738860052, 830585049, 1013602497, 209678500, 713795305, 925479831, 915562007, 952054259, 931025410, 99857720, 721089616, 1024879763, 377251278, 276567542, 469610768, 41146622, 256540294, 346977018, 724726233, 787371280, 752827151, 299228568, 127475724, 27388472, 804870233, 582844018, 617086910, 131886436, 511548990, 830833889, 653395680, 509511383, 671186962, 679299387, 912459610, 892217828, 243552514, 315981234, 287881022, 258812016, 1012054578, 538862668, 232047667, 743841294, 1005297751, 805732605, 56107748, 1039394211, 563106743, 98009891, 1039058272, 920092541, 1006864201, 52310442, 746688386, 812449310, 677231919, 1064928534, 421277330, 810436808, 274051857, 411219365, 572729598, 977379810, 132811334, 1036452477, 355203856, 703204340, 98759022, 474545165, 912421859, 927346926, 982125410, 697761443, 319165919, 506717656, 567814082, 301360989, 875632820, 377755479, 356634616, 618950868, 936055873, 872301912, 363478156, 766056564, 861007950, 324651124, 336069993, 1158549, 765248776, 266122728, 230217617, 56655862, 668144447, 255350982, 282783945, 32342581, 127246873, 891800255, 1000200379, 119093827, 987590158, 462259281, 475350708, 972000329, 723791803, 495883204, 984413898, 249911085, 205457765, 52782357, 81430998, 203370012, 62283564, 3809963, 784451547, 70403203, 582382735, 938957784, 123165318, 247395910, 104619370, 716984526, 294680826, 630120416, 694502315, 713111022, 448396598, 571154611, 98071915, 137177348, 117635213, 552089032, 297374931, 570040053, 284873247, 576934835, 395659929, 602269844, 654934932, 475242696, 1035685627, 377367812, 441191849, 372564418, 551389651, 197780209, 206165747, 114096276, 681037433, 124017473, 82523978, 384188879, 608491574, 444712364, 677397885, 1028313858, 936724910, 274725497, 565440068, 943635518, 1007032351, 320905065, 54298427, 849428786, 310152918, 898993736, 520256275, 756412116, 264047674, 610761330, 929919502, 818902497, 648223260, 508924276, 832850653, 344730900, 617395550, 251316664, 272644917, 14840811, 684480706, 256459670, 451194437, 362469548, 980195974, 321915612, 302364456, 230480099, 109377137, 826408585, 793863527, 651318516, 126298715, 760091922, 962422394, 785952590, 954589036, 296274044, 877784263, 224583880, 286972482, 605243236, 269489078, 1007618401, 507265252, 47668773, 330651044, 150138557, 1065953287, 15270647, 183151499, 247736609, 771891595, 314594812, 136607822, 783834414, 1041585025, 716146308, 307621802, 20543144, 1027391402, 1049939951, 1007153187, 614647473, 962272884, 248857419, 752055390, 621902325, 679448702, 208133972, 195125918, 1034196990, 92506928, 970080032, 713515353, 960916226, 327547035, 650244680, 858328164, 630732813, 789053227, 171017893, 31177663, 638228984, 815186217, 496202742, 1010046707, 614913589, 431159352, 673483928, 173591769, 733190262, 318712839, 517391350, 569986676, 171190865, 765773528, 370649887, 52867045, 959487438, 289390406, 513358512, 459272907, 61082805, 263270664, 402548394, 739084189, 780193993, 831466684, 902487859, 1062556101, 855568024, 281825898, 454821019, 28100101, 940552447, 76833558, 875003828, 115628820, 944950327, 98486931, 26525114, 394272254, 26483369, 504065043, 861278206, 465054436, 135407329, 159218571, 1044912546, 944681117, 585319561, 939035906, 170904624, 703459701, 849754814, 317861152, 151646655, 206077254, 1033185875, 421210944, 182092750, 536385770, 571502069, 406558089, 690792904, 222092655, 64713450, 785781746, 243170035, 438090856, 375269510, 693007099, 116079373, 917180464, 772664025, 773837203, 99926407, 661940032, 904807595, 287641292, 1040049647, 151637270, 352253366, 137288066, 266582144, 322038859, 649300070, 805425213, 886889961, 307046967, 590072736, 959105204, 265948430, 915060903, 711395611, 615140097, 1040982364, 677022230, 481884775, 392511053, 1067517112, 140869761, 343643977, 1072771202, 54406406, 956918589, 539269033, 1063001079, 861403190, 194934411, 65820055, 867503736, 279016400, 99983818, 134159297, 261523329, 880789313, 947651308, 287604486, 121792957, 720980433, 58563544, 642354712, 249860517, 821375543, 55947475, 631411662, 157471545, 699643550, 77922641, 407004518, 344940062, 229337113, 515644327, 449681956, 777941378, 891765226, 412058090, 699584629, 63306197, 727029961, 321867511, 150821651, 627009506, 209208590, 971072146, 672397000, 976919356, 896201577, 14028198, 204680875, 1038160432, 516324448, 608985012, 312099473, 736884800, 430748691, 393711839, 312846994, 991940421, 1038769453, 70894190, 903323762, 870181659, 683518272, 807397965, 170039541, 229157495, 1026243676, 139974881, 325076729, 214588993, 75089460, 1032797130, 25930754, 201831702, 434815581, 48956211, 754980611, 51897676, 881987346, 71334172, 907635423, 984990975, 101213835, 895113812, 842699824, 1063145803, 332347166, 442046803, 271544405, 446719594, 1062864616, 142322884, 236547956, 119715188, 23995673, 840023866, 1055570093, 1026240264, 146198514, 708995520, 704311279, 373581071, 713958382, 791723626, 76846462, 289018182, 377797213, 714177565, 55629684, 193109743, 625124618, 9800573, 461785832, 259210835, 855570688, 370908196, 783763191, 39609657, 353442469, 999538776, 837253532, 600956035, 159373639, 971353282, 94549182, 801593457, 254831325, 172562584, 102768256, 1056433088, 482698493, 158563953, 741147895, 175317052, 22419572, 421122483, 373848163, 251780050, 408917768, 20702375, 851678452, 48038035, 567563969, 539415660, 149976256, 107082354, 752154787, 825021052, 788687849, 71842809, 750252829, 245937942, 767790909, 187233391, 700052568, 567104988, 476682661, 207065552, 596322140, 397186394, 841461894, 382909510, 938591328, 296259539, 841178504, 791173112, 312168237, 1053498594, 91468143, 810770790, 224115259, 1018874729, 724434684, 18608681, 630274448, 298765495, 299651241, 98914945, 677162506, 183616123, 977209122, 715734562, 199121762, 660968724, 883560432, 766763895, 611976108, 746769413, 433901164, 307807263, 159350117, 172158072, 3757170, 688248437, 257203660, 43922617, 984300731, 237939015, 345025176, 773444945, 153234681, 363060047, 669905169, 158215544, 4594129, 779377080, 981834096, 802026911, 195138161, 508682109, 326004945, 381993096, 328412319, 226384900, 249314545, 993762885, 609342516, 25332958, 794871156, 563304740, 91235116, 125736870, 72917665, 901033173, 670688815, 639964438, 981465274, 952289526, 828772383, 299290196, 636423025, 106253945, 575390775, 1045744028, 277224880, 271692764, 1523293, 930930431, 479603950, 330160687, 665030830, 522536333, 382912342, 316686236, 496646882, 725322092, 1005184464, 62829111, 573642949, 386414490, 180409378, 168877691, 847600901, 705668763, 9325851, 996756095, 995000493, 837458310, 537022003, 981004674, 660579806, 917472258, 425173105, 98762412, 498572368, 125393687, 309772635, 856826385, 308620943, 494674051, 63713578, 1058279500, 486436618, 415796353, 179774605, 775836654, 980061144, 803923836, 272789658, 521854928, 461092468, 997580339, 383149558, 784537978, 385266977, 430436808, 373018566, 451910143, 799663288, 896017957, 643587283, 637329129, 216307049, 280512618, 209808691, 872418860, 1005192034, 141821271, 1043970476, 570614707, 980434783, 818154398, 103711661, 364321413, 781337097, 787330443, 724119451, 613831541, 384177150, 561031419, 244888220, 120380198, 1007897371, 406315935, 693279181, 969756144, 2778648, 1038495009, 851608711, 898609933, 842670844, 356672536, 1011279513, 634896266, 418591736, 393509626, 77133454, 891063950, 353540073, 586772306, 1004007800, 268420863, 827737963, 525418653, 1003197372, 167013443, 313171436, 591766385, 690981505, 881077893, 507543534, 991156091, 234263015, 931801158, 244013527, 932097109, 427608067, 866089422, 946746548, 748414198, 30304221, 334187750, 420241529, 287993038, 252051185, 948973103, 195346405, 764490183, 663446812, 118349009, 989825510, 957551675, 461851668, 132574083, 105197549, 383596936, 451153576, 1015695314, 633378313, 288164071, 668773887, 43895854, 630170958, 727934490, 380231174, 328121378, 230470875, 42231494, 906314987, 666019334, 806974916, 954959450, 1065824590, 126727316, 745614725, 38282485, 362501686, 1030309327, 89633262, 813732877, 543271232, 743214016, 927575524, 509658399, 849809338, 268756937, 257578226, 665894512, 520708745, 1032634897, 218946439, 905308183, 681993127, 291552372, 553870407, 504160894, 445092052, 666744462, 1012512110, 979874020, 394912719, 125868486, 1025293329, 816368045, 425301293, 525909030, 8106056, 892442094, 29135282, 337253828, 624057160, 996671947, 599932189, 1006175771, 256576092, 1031358710, 489168393, 1044116434, 984857137, 971304437, 91353955, 461660950, 950320142, 167650554, 672956388, 438598193, 633324256, 188865524, 167775971, 510863960, 691633286, 619363042, 266398565, 1028969218, 1046467287, 978006274, 654577336, 823389860, 296763203, 292653859, 89930682, 454595555, 1052134952, 541217656, 872594218, 587559598, 565689340, 817098330, 984405917, 966387966, 879036622, 188541713, 740255469, 448379080, 767278785, 611759012, 431100043, 700638286, 424896961, 663689532, 643076411, 829686626, 992513912, 1067734200, 1029654476, 118581231, 28452630, 738414022, 818529472, 965217316, 535902828, 223447113, 631553713, 55381655, 98675696, 260253182, 656740021, 141429141, 791918877, 182220338, 563403352, 40895781, 568647164, 952100267, 754523799, 486837763, 918576584, 738174633, 368649571, 305970006, 425192957, 57237327, 1065504471, 340651155, 142807018, 670315475, 510137443, 868354367, 608180921, 23789891, 786231848, 920174239, 867897486, 917155035, 550537370, 935354139, 607818977, 160742272, 607092147, 80097651, 690005682, 681635709, 730088524, 611390109, 941692135, 807439571, 23880522, 767763704, 166947212, 139874353, 909727755, 813941458, 917523813, 43983819, 127702260, 349448205, 1004812303, 218276953, 523061643, 997498546, 510410169, 600720298, 31456622, 830021220, 968299271, 403913155, 932166770, 45047647, 864220475, 277539541, 1004966339, 253816153, 837631667, 243581191, 1028946, 475848959, 654443213, 965393376, 109127219, 754351148, 496302572, 317964094, 971224021, 896573223, 834894758, 496599434, 733900105, 105810629, 253567454, 839265809, 444986665, 16603072, 263007572, 145381335, 569001093, 693356572, 771385792, 661129477, 331207505, 922051273, 540930223, 1057871006, 978799352, 655019535, 448436206, 229946615, 530099788, 167868821, 783561269, 738366762, 185367932, 595699495, 1034767287, 599043550, 220060691, 746334817, 99744386, 252789843, 236487748, 290142808, 14680104, 15661215, 1014021064, 242101597, 777009394, 178897946, 192380167, 561882330, 213659945, 547130601, 292058966, 161895690, 503134521, 299348700, 36586811, 868837041, 666457114, 513183853, 217908007, 613273657, 683111280, 767640673, 455841527, 489083373, 515150287, 943665767, 561909184, 628260915, 657922250, 101878553, 323652916, 828260203, 824976989, 772066654, 808133041, 138838086, 82058162, 227242618, 992063104, 844138200, 58141148, 1050649577, 131992168, 1040160286, 147598023, 975956857, 787472824, 676833738, 28110693, 618564377, 898250577, 834244970, 325032728, 227499996, 800699074, 315789611, 777804414, 478703609, 1003988139, 108431837, 85381250, 499438233, 739058776, 670594148, 696992810, 549560971, 574127305, 268508997, 381021717, 1002674292, 980098825, 458149847, 373454453, 85405979, 925440982, 914105248, 57099559, 12597586, 771671850, 6183632, 1031498289, 353528548, 669560134, 1049685096, 838851757, 687829270, 505391208, 598585393, 320399811, 999980085, 697372628, 906851303, 426418589, 9144979, 768363010, 81486006, 1060449553, 1043280414, 353356606, 735365061, 6369901, 459881898, 360507186, 864693328, 439477115, 402399819, 1025664955, 655037727, 487204523, 940611460, 875060771, 477596697, 880934278, 767542502, 503396391, 892458074, 637579148, 88623357, 610215428, 35761648, 693702329, 1050639210, 44913715, 59198747, 817751970, 493936447, 300630714, 497685133, 1026285191, 838300613, 410455116, 656831006, 18112701, 315937073, 487037612, 53764781, 100578501, 566279625, 252538525, 333528634, 275943943, 762497332, 392684985, 61765079, 564121660, 622638323, 79323942, 49692846, 557888778, 209338147, 555757921, 822091503, 490676888, 956084947, 667351493, 894828231, 266628892, 256906052, 109519345, 399568751, 444010037, 492962723, 999951995, 482528788, 631108946, 627418273, 220752641, 576866501, 252501779, 545666630, 409200839, 63997217, 189354721, 420736896, 539455509, 2262843, 204044304, 840219410, 119261241, 307464116, 622746907, 820979569, 449353027, 113080140, 673873442, 787607900, 58197958, 133029263, 192923229, 305734524, 68482562, 246456411, 929253290, 368837739, 724979858, 1068865213, 563888662, 863022161, 447057104, 727483223, 534799013, 378439427, 1057927020, 904582357, 700047421, 166544165, 92555223, 234919407, 588403187, 712787411, 590380967, 1059615218, 1035429205, 485601944, 880691073, 770861001, 628700211, 21348113, 738939553, 98368019, 404197105, 734569418, 572201878, 581497647, 522431548, 852651532, 748587956, 836405149, 657567279, 307212025, 608752060, 299204003, 945649913, 292778165, 872939293, 937048082, 621171193, 714948287, 181999233, 302985423, 1013143299, 172047008, 333870012, 598205481, 663731748, 652582561, 949630092, 518191729, 443868936, 368330161, 127570972, 160217391, 846324835, 63368158, 704140988, 92145049, 946687933, 177981919, 134911860, 288322999, 564418039, 792381041, 918893159, 303771194, 706158184, 881971356, 366979290, 1017020693, 909596207, 295492411, 45501391, 362807027, 527189183, 182385187, 717680603, 100245701, 294756849, 583760920, 332576669, 354342078, 1070217940, 239949777, 984268948, 1041897708, 630232902, 504236936, 86526242, 324563356, 229132568, 896243910, 679097447, 433187139, 960446320, 479979843, 991140932, 462733304, 427547232, 178196908, 779047808, 626874450, 581126485, 2123778, 40713093, 20373140, 59923901, 270005046, 857342071, 1027001249, 1069123197, 381660709, 414066666, 301927036, 518790952, 306436826, 772753019, 878550711, 1037100472, 553180146, 684044778, 790580516, 1055609121, 745339143, 478599570, 1066137727, 586178603, 6012966, 252041622, 1026839516, 259044999, 14353770, 883221206, 666586087, 160450091, 830574720, 628456887, 276527649, 260734771, 434681841, 828057925, 801395706, 290200892, 447780430, 77607322, 206862196, 551527542, 913793693, 407527023, 483030852, 650930510, 440977607, 488527010, 806353371, 1050270110, 817825092, 902436005, 320147535, 275741568, 368436635, 163226738, 883411543, 307474735, 394585185, 523101320, 570276242, 839079928, 444456260, 229867677, 974917348, 533520450, 192501943, 646255765, 89615770, 972135359, 69522412, 565733105, 217037750, 720882454, 544021029, 770454658, 1070409010, 256675371, 288732761, 789834372, 97933353, 120271457, 604791610, 581327443, 811358168, 718090869, 1061359568, 601377323, 226418127, 619103415, 543656035, 983981543, 855405024, 1003169109, 187127519, 185687742, 237135976, 883743503, 315623067, 992379873, 529586329, 606829147, 392135287, 751316049, 916411370, 564503406, 707755426, 754395461, 382319147, 170405304, 991474303, 453995827, 676778550, 277576744, 234593124, 991339272, 267239622, 931644402, 191297043, 565995747, 679193680, 55097478, 496237363, 775523906, 71146075, 401136078, 724058996, 948906365, 418053894, 744198636, 802042717, 764549274, 803228396, 912462028, 448996325, 823139084, 5605139, 356281163, 787292458, 749758557, 489226280, 130504370, 160417806, 335356620, 448839811, 998005542, 920503625, 914328639, 624809182, 467525210, 710729067, 445894323, 758365047, 449878292, 616570565, 952294357, 449963199, 644523345, 234799506, 347954015, 1047241395, 420667152, 406121020, 434013844, 684523203, 120077504, 294762643, 797399794, 300478931, 1030461784, 446363349, 1072650254, 874533028, 105274836, 897746130, 34419696, 175673066, 1040715725, 348479403, 493779415, 303818967, 724300432, 211075354, 531107329, 51036826, 886749419, 23422662, 918640305, 404608851, 703501911, 263085071, 645327365, 127455319, 600019796, 764060806, 644661217, 1063501684, 657869606, 600318133, 505178232, 970403285, 175810409, 659595488, 409219800, 968910296, 889157661, 75918966, 294479714, 481070087, 442364890, 467618829, 734367101, 981984723, 889528818, 654859376, 914236782, 157573391, 966233856, 475314415, 247694875, 276903719, 423902692, 240630594, 165258447, 336060137, 663097257, 939821025, 696738760, 311508488, 127325956, 777895898, 362409412, 969016309, 238693058, 55198537, 50202014, 635760333, 208553912, 413430580, 394674731, 681501281, 112156211, 156076597, 350056666, 485058988, 129383261, 799889684, 473984972, 467378068, 626076013, 397340459, 396876098, 786576951, 904671396, 908079384, 505583543, 118395582, 875823528, 503543398, 653400303, 324398279, 31692630, 129636728, 1051636453, 472249838, 998104763, 467825228, 722688479, 560596686, 1056263557, 851326585, 924479714, 570403222, 735324118, 415605251, 374004069, 545330314, 491903993, 1021001906, 824638478, 732202513, 429146794, 239581727, 1651950, 595694226, 69132777, 274138249, 780954341, 186753225, 959658560, 207572501, 820927909, 106112453, 377533666, 501082385, 743320281, 1034672042, 333941124, 121121923, 506167006, 83042729, 684726805, 495762464, 261671885, 1041554885, 505751147, 398159238, 755020364, 52556490, 154198352, 40734502, 332456046, 161878529, 1035642446, 825942520, 1049898633, 979757138, 44787446, 439865590, 945203815, 284403745, 441963182, 80900952, 652320616, 331174653, 1020138605, 633881067, 603858390, 302736554, 1026649560, 904893534, 833792067, 559718600, 201765881, 305126919, 480658252, 605064874, 849253260, 210352087, 267354231, 693161274, 390333060, 661991052, 590573707, 60945445, 1037212476, 520096026, 767202872, 570309825, 580808604, 747894567, 617361322, 81743785, 52317737, 315977723, 493489928, 544055728, 609456364, 433975211, 614879435, 418060208, 472342196, 968726715, 239125531, 864460840, 1072296573, 723271606, 446277250, 307462325, 868813569, 748351069, 143327216, 384651925, 158294073, 587308714, 96349337, 133266194, 380624319, 668330586, 885044638, 638010123, 347755591, 567071806, 317864739, 3090516, 355142768, 470339615, 46808470, 954239349, 515741371, 802712433, 634043527, 807090407, 260009661, 720150521, 276293712, 533741905, 730536339, 518705074, 843447925, 638264356, 619786912, 993956183, 850549463, 657628467, 24245103, 99497335, 351557550, 32392551, 110450746, 697038575, 198036714, 651996910, 212330670, 854176199, 653703301, 835889981, 724106528, 583134136, 239940737, 339352609, 949121884, 104898781, 116420013, 292466146, 557981159, 38009224, 265108655, 276700216, 783817719, 529929599, 807540055, 642503058, 873726197, 12337360, 821206592, 271602258, 87457080, 314692620, 605745227, 373564279, 577684978, 591189254, 319086621, 617046065, 749744158, 893424827, 658042499, 228529235, 166280014, 612561297, 868617874, 1007580440, 529449020, 861801312, 1050519080, 269436351, 177571089, 1034106061, 82737018, 590487492, 106357823, 258664340, 436894342, 447976291, 68048630, 263783613, 892654793, 1073116665, 480026751, 971796619, 385932364, 155167798, 648031372, 213788966, 761091410, 428855086, 17881949, 422515632, 672962860, 99798734, 435719705, 355109836, 901538580, 1015953547, 473651860, 84782178, 974645711, 785706354, 307461282, 950261346, 525174352, 249045752, 433646906, 372577531, 814917059, 928897141, 183657157, 477034878, 820061965, 211406127, 866046970, 664075484, 710949073, 24953321, 403963471, 51124826, 114170246, 56755407, 490424744, 357234204, 572269111, 298766284, 458579276, 513650472, 977538840, 854804697, 281387668, 418276938, 723944529, 337299790, 535612155, 284630569, 399391762, 116813102, 775816177, 26908933, 574977864, 45844948, 553843421, 549606595, 162525038, 1045569033, 808357429, 192137805, 112575232, 1058823629, 803205649, 505268980, 428920467, 850922509, 720930253, 748107453, 263057259, 522054904, 84867354, 76820819, 365079484, 881894384, 709871370, 230013540, 69199471, 172528856, 90194732, 449782701, 162678377, 1030727535, 372455382, 411003449, 228105414, 981797703, 433669853, 532118831, 340501542, 1055746713, 923645421, 483476574, 1009877812, 717414234, 447377128, 469116884, 741264940, 1049048312, 616349583, 1029169750, 1044048056, 643474973, 561047503, 230266761, 825817166, 399539424, 430474526, 911412049, 937331452, 428800863, 650838567, 11723986, 435652774, 938371098, 747018790, 45949701, 821743654, 282552408, 831189780, 361369041, 2953151, 609652273, 124327955, 639594977, 164906061, 838644042, 907507522, 885563647, 308525674, 893018503, 263597993, 515465753, 278771748, 9085845, 756101580, 1012546757, 43301874, 746419285, 412655155, 284859766, 395569488, 831078695, 844427337, 368411153, 638202692, 500496991, 812183977, 930031916, 204733628, 583354301, 862366433, 145022178, 520485747, 1020098912, 719052749, 792434594, 415584795, 143725380, 805233983, 40045375, 727001381, 584100990, 456191242, 386342039, 400938636, 766308397, 536357652, 746879756, 378469039, 804395831, 664468937, 34884282, 978905372, 929912601, 315329392, 344735115, 669452121, 950920486, 386817847, 986079201, 558173380, 510189903, 936888528, 104521349, 474319812, 985192641, 187132473, 634945513, 685890820, 580492333, 912790712, 279683594, 515808524, 282371804, 952074517, 121617896, 739234271, 457494966, 595895323, 898465055, 702442024, 1001729756, 1047560885, 962771349, 898014613, 612063850, 183635377, 1063598028, 568484500, 541822139, 639176721, 916771422, 515139193, 776337187, 152170296, 614443402, 992472191, 617067144, 1014274207, 907399604, 785144235, 542603384, 551933830, 1059449254, 767842122, 205487580, 533491080, 394064175, 923500432, 421265636, 493554103, 720654358, 662465124, 619230383, 774625391, 380728581, 706226631, 532080220, 141641321, 812399901, 350057456, 857203141, 104992159, 972885467, 997644290, 801806373, 402882417, 393705465, 787605649, 687077755, 874852340, 537612397, 317893577, 883563413, 968681813, 255806020, 830292827, 866679395, 853714615, 552004424, 751341685, 464498361, 750431575, 687700916, 417530095, 568741810, 476202969, 1071292135, 469661701, 512017762, 728907353, 610823460, 156171581, 329329885, 399110235, 605320866, 848689158, 806638866, 739764167, 353186923, 292844273, 720270348, 406784791, 512527117, 5122293, 125142514, 293006419, 861404721, 482849089, 184389999, 978467211, 357393197, 226696599, 891233443, 657190824, 1045784172, 941065743, 310668933, 972536321, 763266799, 513183702, 498481464, 489130069, 1001814507, 980389699, 466216389, 39319506, 155442492, 1049064812, 17816978, 253085596, 970024347, 517790646, 655921231, 947455485, 557057226, 11192338, 842356944, 614538082, 160909465, 911701721, 417445796, 57408685, 507353482, 771926112, 996335034, 367886589, 716908081, 158247059, 256589252, 699514139, 898372829, 110452430, 909758119, 681690647, 812029553, 194220824, 243529266, 22238367, 219898375, 511005144, 568697098, 193777198, 551941845, 1006620189, 334796085, 86768754, 903668167, 59657511, 916278894, 946719583, 989878736, 241903673, 406630165, 698068151, 1010647393, 265541950, 78284605, 706528143, 751345043, 715547300, 147950266, 502814516, 266243207, 329471744, 1000704928, 48273752, 1030363025, 24735016, 88053808, 901113159, 501215023, 715917278, 280166308, 692047342, 865001607, 301688114, 215811762, 256360184, 265195749, 607928043, 164638165, 386666109, 606827841, 499714976, 587978755, 349509160, 150097393, 163553641, 109161534, 913844411, 896324351, 851012056, 151055882, 164658850, 916298573, 400301525, 872074578, 210247329, 43096452, 860111654, 887470779, 918084477, 253145789, 770604111, 362048974, 17039142, 183517016, 284439590, 991290557, 148456502, 612419622, 28138154, 352838829, 454802568, 89497810, 1051599687, 1012372613, 874091829, 565686366, 96360150, 111496148, 424199499, 431961237, 547494980, 412712048, 174213705, 675706103, 812920558, 571151298, 515756183, 905270357, 242573077, 323551156, 408656831, 377049431, 731923485, 505216213, 1050207813, 1072080858, 578559249, 989583127, 383531652, 305788236, 835682506, 557336530, 237733707, 866236764, 999382676, 860336807, 501185135, 716889240, 800038879, 172459746, 890384536, 889086424, 453424787, 989850395, 59830304, 789688114, 1000733515, 141112443, 394477720, 1064017329, 472221531, 981373837, 504535662, 554342645, 834755843, 371601092, 278078336, 767120109, 222332824, 21489729, 169937249, 910575350, 104856828, 164194029, 274627410, 188293093, 260746110, 591344348, 263879414, 169063462, 960740684, 196652372, 482867521, 878756554, 4475450, 240562122, 772648861, 159073811, 1031258015, 1009540954, 480286345, 436983203, 59499036, 975366259, 38141744, 501935380, 157955820, 400513208, 888562060, 185771963, 607160868, 813066149, 629745690, 207253544, 779987017, 595449327, 925348213, 54863829, 979379669, 260335437, 471990054, 966599001, 357108213, 408407602, 108118304, 536607141, 269857171, 408013523, 287577700, 84350731, 419558846, 871565531, 1039031494, 82172968, 752762187, 1033211333, 52226063, 251969976, 932073977, 899064745, 722716394, 293138769, 554744293, 14542129, 290933103, 111036574, 264777612, 472431918, 642446190, 300834254, 646785994, 783205663, 71153694, 1022936283, 381255558, 861626733, 168893582, 137262696, 865425881, 889905993, 212181401, 1037154654, 230199857, 116653190, 89683468, 473087763, 39175758, 107237990, 648031891, 855800898, 28716237, 319191862, 155754305, 36809205, 224323012, 924376670, 453050074, 157514994, 517396614, 782227696, 277104381, 969372236, 61589122, 36642373, 122365493, 442803929, 1005134971, 82355182, 585815559, 621166651, 1023621061, 982110249, 383194721, 454988374, 776266186, 792829083, 72225790, 399314810, 737394351, 268894299, 852209869, 478931167, 230828287, 2424480, 167831669, 1037982412, 753914463, 816426199, 946457902, 758799261, 977189355, 249939316, 250817580, 988204403, 907697573, 114696667, 789723379, 427870534, 81084523, 483347336, 76486698, 753595859, 618661797, 419908232, 372322140, 484618431, 878249016, 676932173, 663443330, 647979840, 378755586, 722819735, 276672492, 32416716, 704038978, 494486866, 805192913, 295571024, 328890151, 127324971, 1058400539, 502170929, 108163137, 615241398, 613670521, 750977336, 352544215, 353091456, 921804516, 189280074, 170509366, 993912731, 180985185, 754323804, 617084711, 361358545, 936621410, 83947890, 209503844, 472510578, 781060914, 282906335, 5756954, 556319510, 57862779, 156530485, 527286769, 354770535, 163315589, 158232035, 847084854, 331147646, 558111195, 58541440, 818074646, 25199033, 806616328, 766531416, 672575165, 12842613, 267063720, 387752534, 114231539, 85858356, 281153687, 456968705, 328818189, 867598308, 111959453, 146391369, 991873368, 1047636522, 1069463876, 379320470, 1002843939, 522430005, 20087311, 174853741, 3337131, 323105020, 790829947, 771339133, 837163658, 979712623, 1035159037, 122880422, 1011661379, 298055681, 574438803, 453189562, 845927516, 104554152, 86643704, 825759564, 1041580366, 49849785, 131666042, 78376786, 614052810, 871422144, 715340702, 178180929, 32140830, 984074062, 133304223, 643260524, 714188230, 919041372, 140069414, 577793829, 386927069, 807231920, 590990295, 1061269147, 246340091, 906164035, 861428458, 392629910, 270999606, 920959993, 1051992003, 283681083, 128640959, 15016969, 956110786, 3663123, 733434801, 238947394, 939865707, 703644023, 835891899, 1047518604, 71687722, 106245122, 162995800, 142535510, 365297330, 387978791, 604012398, 809569555, 11136720, 876485934, 648099624, 382437672, 891899648, 539786643, 542400796, 640824584, 981119207, 624177088, 894995100, 450742873, 668888445, 247239107, 604162976, 963325597, 235161784, 565900605, 12184207, 162143095, 622217178, 493706598, 840235554, 764289888, 1010746109, 374996704, 1009181665, 749991079, 639973130, 357506424, 473114272, 961619495, 984874955, 1006222524, 197548130, 85662296, 281221413, 208116097, 23572001, 969398041, 1032056048, 139030540, 682767957, 1018935037, 985145031, 411826429, 509128571, 226240809, 808373720, 925793644, 221687805, 141319069, 560331807, 218954756, 1012356231, 681954874, 248197250, 633046447, 667412589, 784804009, 204352491, 922314953, 219932521, 284764196, 413475499, 840083693, 308093564, 179179352, 255519259, 902086496, 41328720, 724353773, 695571692, 509718932, 409239859, 811253519, 52572493, 544044948, 120553508, 123321144, 287580150, 352284324, 182160796, 11845638, 97787168, 111195142, 229659057, 198515594, 415260797, 937542639, 27076581, 707694913, 325739019, 673116901, 579111418, 991709403, 640246667, 49262035, 939879415, 479122076, 241814932, 795490811, 233132355, 506916623, 375072444, 956738481, 628329888, 154286308, 558790930, 297762184, 505661814, 506664409, 430307108, 710710211, 927561602, 432425486, 722963384, 634898165, 1023839934, 271941064, 922083730, 248818282, 271900294, 600179437, 559107439, 444031629, 337449970, 344047559, 118406897, 632842337, 379019600, 45519792, 214548064, 121349101, 747737848, 186318056, 967017877, 791149476, 1003996356, 952512187, 696491533, 537713592, 825509670, 10500779, 518933615, 38005622, 470021857, 687891862, 511032179, 763092382, 832748223, 129405165, 65146857, 541311347, 374621294, 323294880, 551874423, 361356347, 686863311, 11577683, 422861735, 943021789, 715817212, 842913157, 411465914, 499381725, 517128810, 59179338, 1021578692, 643383328, 679967581, 48121832, 1030321868, 230150976, 179972171, 257194256, 220286863, 918547229, 128845133, 182531615, 1008582423, 432940755, 393585186, 482431091, 700405123, 1004970594, 400693038, 38357027, 840301587, 1031459253, 521892945, 541901407, 532114736, 325171197, 578883715, 1072935732, 1015477754, 179709079, 652964686, 520802191, 602190621, 1019271712, 204010729, 406202489, 456044497, 279572414, 865224376, 100691555, 183870809, 888228962, 405896575, 437981531, 777041605, 862804559, 865405183, 123612025, 255213087, 728456965, 487245184, 329661777, 492157243, 666412227, 742108159, 635336183, 695578889, 130823080, 36367025, 488991456, 531675856, 96603150, 46869331, 542342039, 732511535, 591792817, 262359756, 867239820, 1036887865, 65130863, 580363786, 349418872, 305896359, 638681641, 1024085099, 275401803, 173031465, 894328336, 52411876, 394846044, 677957496, 404979060, 872040122, 918839703, 53681140, 149039018, 753160847, 337249900, 430768741, 1050981185, 96391170, 1035477885, 910267985, 149765655, 231569508, 567144128, 20750786, 244775029, 215573846, 511019232, 980488051, 870820263, 14432395, 928843920, 407168545, 139972867, 279170973, 745687196, 301117280, 837390268, 275287693, 884017717, 595001686, 131511473, 655808497, 990284792, 311411011, 737679661, 192672814, 1025910251, 530034423, 985408713, 526874879, 376393774, 901262990, 145334499, 613662021, 752339622, 118749423, 960051057, 354569019, 406225159, 753459610, 184609168, 25081043, 22720290, 574476225, 644735932, 154086896, 220405918, 247305598, 1058232428, 796830933, 225077799, 195499943, 552563827, 283163388, 240957349, 547497423, 381808676, 1014644483, 106067128, 207706986, 27937353, 620924689, 329942447, 654502043, 651248412, 930351674, 478158379, 322119723, 700503424, 268134499, 1035992235, 379799859, 283507049, 258481728, 380189473, 575177885, 236852629, 1040761046, 961267729, 180425057, 624249676, 276937583, 943773099, 989812180, 930534807, 710115736, 630508405, 937419264, 425267908, 265035028, 966470837, 313825814, 290436118, 880233014, 859435391, 447968476, 430199298, 421032285, 453775431, 109736706, 94634059, 54831582, 952972555, 941214567, 1053276146, 592373663, 66276806, 890629050, 683818422, 354407566, 748662917, 717416391, 905661027, 255524191, 624754459, 182772569, 1070703414, 89040162, 815085246, 516872620, 244725060, 440817155, 215119944, 623148429, 554617270, 292623663, 395096050, 786552189, 902262444, 118646395, 831742272, 666231352, 377999408, 220128789, 193707088, 450418867, 357041314, 580345397, 400804921, 83277935, 837201917, 47799833, 491522897, 608759150, 889373047, 23601562, 61527520, 697416010, 849030559, 228742256, 1047632099, 457074803, 163642068, 372313793, 708203233, 194118760, 830915275, 642241979, 1019092251, 310718593, 567768737, 1069529259, 672912565, 418892290, 379270143, 290761305, 924046039, 130458824, 590116023, 859240136, 550643677, 602738787, 107654398, 955385322, 231491469, 214633019, 337278785, 543032207, 498581962, 605934938, 1055241299, 712599991, 533511729, 919505063, 490886311, 513243729, 652144520, 84588639, 301582131, 75661443, 303871427, 42640069, 731475138, 185472268, 628126782, 167766453, 261292979, 31241900, 799083016, 227427634, 107195007, 593388962, 19947176, 266417997, 147569501, 65833689, 109214616, 756183469, 774140525, 731034661, 670935274, 263993112, 639907537, 630265455, 870481549, 1057366405, 741722079, 936075591, 419580599, 859549563, 266741113, 316503225, 724467625, 708608774, 89408247, 626406593, 606531946, 82150722, 503551976, 25429232, 641566189, 767102878, 142812651, 114316521, 457363819, 725136378, 240478321, 953224076, 22699070, 225195400, 1017186567, 681978351, 478324777, 1056706984, 618333171, 651902423, 500285736, 699677639, 232393352, 586886505, 680394713, 325185510, 13887265, 311353785, 284062358, 652785518, 810246974, 442307680, 705989790, 755454283, 605230707, 183242174, 104108410, 686542857, 103888393, 563322698, 801663081, 140386611, 694144510, 607145668, 222855738, 1006587875, 1039923711, 940344977, 847755247, 669949536, 783859782, 661956791, 97892701, 64032276, 1022460369, 487161113, 535067172, 912527684, 372914597, 99866758, 582494241, 3931596, 615503374, 275192691, 670576667, 691219260, 403522273, 938864314, 393131547, 403878177, 493039166, 585433477, 161726103, 779154205, 715797792, 557701554, 586720866, 291599347, 948977170, 725586853, 314889229, 924420760, 601131894, 326401876, 31487304, 544842705, 927185720, 947643869, 1016853262, 511997377, 515905155, 437673507, 413490575, 539582880, 931347721, 605424843, 153750842, 937834983, 906533828, 628305463, 482208613, 754231802, 959919463, 631669514, 558822594, 364607968, 28421993, 861343784, 538885086, 184229190, 240259257, 323459394, 276309381, 723662224, 321242516, 1040900508, 69915392, 875713772, 155450852, 75231036, 712657841, 83291903, 934918237, 692660694, 970014324, 879115414, 391475671, 981475342, 406305542, 669750416, 428678151, 841455037, 65644971, 130394994, 275288004, 807118991, 890275363, 648943015, 642967208, 258366226, 141132910, 98236418, 49989041, 963421536, 294743993, 1069402768, 372562084, 909447799, 951340344, 1006843834, 857089871, 189016908, 77854072, 126020437, 1050042208, 901435106, 684889089, 700812030, 18398405, 231709673, 20716026, 882343697, 781862719, 76436905, 210798014, 316767242, 843215342, 718464814, 569321710, 898802702, 496675227, 122287309, 575189419, 122733421, 46447838, 250910843, 841997376, 272343441, 775710087, 493602902, 758779388, 784890430, 17768532, 891172239, 777671430, 252392254, 115980539, 977002911, 735492533, 438590963, 357864991, 601454637, 291835499, 391423107, 24684185, 57949348, 66856254, 421130425, 143297984, 184871063, 468598608, 577198617, 108447677, 368675209, 908172197, 285071356, 1061679960, 217740807, 105893030, 967315801, 774143080, 63935386, 942696818, 727555037, 426155594, 106722783, 846199586, 111486225, 151309355, 1012349771, 679230291, 926706199, 297630781, 850951429, 826309425, 154055269, 118968294, 983856054, 570881183, 414108883, 527174889, 991724407, 847310158, 782692232, 693720938, 337668423, 475638853, 10208935, 986097178, 792087411, 261716514, 239577090, 184636435, 1001890601, 1070920179, 447869766, 1066115767, 468860025, 756185039, 143915314, 281402255, 577257958, 726638820, 318025935, 688929357, 1046169990, 833809859, 231683136, 366042160, 589370916, 1028761401, 97762238, 622129564, 762003657, 583972129, 956229954, 484536444, 128116913, 204797371, 321414846, 554170193, 341388396, 676042201, 993897704, 616985369, 952205768, 553796708, 960980086, 7475417, 956578312, 1049119170, 501602594, 1060252891, 471457321, 654782034, 488153009, 792116708, 574443783, 169407094, 633160407, 1069341892, 598925173, 77992620, 136526423, 195107538, 623656520, 849218197, 113781274, 748688312, 717541751, 500550643, 189799734, 336376608, 882412591, 238248250, 897965971, 893802636, 328072355, 660908190, 403701999, 664744085, 701110581, 585875453, 636725960, 654595214, 842608550, 369162755, 102446096, 983175849, 921667262, 389627589, 537708777, 145229430, 932849560, 153991224, 697312051, 735244376, 538227964, 769588966, 297301476, 271983141, 522998033, 396609769, 545243207, 235453463, 702877366, 693203431, 798620385, 172643906, 662823314, 532436540, 450401853, 568785114, 578772688, 932418451, 391419134, 207119448, 1039385816, 1063195720, 378879883, 641211482, 314352067, 745103738, 359230554, 630608915, 17302788, 678808790, 690260895, 693350226, 551536514, 513108643, 670061842, 293919557, 17974470, 742574141, 330175770, 191108031, 675546095, 211901378, 928243726, 176502626, 534426532, 762383246, 806946420, 726487571, 672258771, 998245131, 84132729, 690632942, 681507560, 345003808, 454421370, 89099136, 809104254, 93077824, 978448444, 136976879, 949822360, 52117471, 544660310, 763934078, 925953273, 460175497, 511708640, 611842096, 297894372, 917206810, 617410351, 880650787, 975489504, 1029557990, 1028457141, 811699886, 920536908, 553210147, 361484612, 655830332, 227882621, 727839490, 969124715, 604735792, 678477395, 1016050953, 1207853, 767772536, 517197648, 575644007, 533834453, 202606271, 616871300, 304791515, 422409525, 961697597, 660307136, 468874997, 862560204, 754348470, 430175605, 525847313, 810985452, 55959007, 563466434, 550261102, 338754237, 263397739, 141571096, 507175549, 951704687, 834549169, 360678725, 851174063, 911665066, 962236831, 471362104, 620977217, 951564418, 981890302, 42326936, 771826458, 719956027, 18520339, 494839072, 14257118, 957518474, 903886557, 601860655, 259867262, 1068187888, 176253181, 380518221, 644159550, 876958295, 441162711, 739430446, 906584821, 571686162, 254176497, 315391516, 915152932, 949797581, 732140414, 995609519, 288993685, 933742, 351765823, 131393403, 41603890, 350258378, 843481162, 58672618, 858833689, 925718407, 1061028993, 746695721, 115579242, 559167152, 545913981, 15723449, 561693002, 956505556, 337616085, 434233213, 721171873, 177271226, 579867141, 138213378, 493040478, 993897586, 628494866, 745018718, 347883916, 374272985, 588696218, 894982352, 213864366, 264306410, 309840200, 596323597, 648058578, 760753012, 986386345, 629589192, 758174005, 424228810, 738223664, 621826463, 787564478, 805449751, 754323968, 585795038, 614331418, 216413033, 856238942, 622839178, 225559277, 903859075, 160625845, 183724992, 53235781, 857559505, 547963597, 779716553, 872877291, 577210202, 902301555, 124783048, 188375973, 724334332, 596196660, 471143125, 539741017, 271758943, 181596956, 1040033234, 673804555, 724875892, 665712492, 360992472, 567301800, 715074271, 720956319, 786192367, 620489855, 185359107, 897276685, 594198575, 521154961, 606714231, 16141705, 330796348, 824551947, 259906805, 523565713, 589752726, 949623465, 545829071, 345113108, 532018648, 11398422, 705024819, 826769205, 513319024, 928264227, 748852422, 668071162, 684243249, 754671583, 899548711, 315034861, 223804941, 377983291, 90074862, 662226003, 653633952, 354563136, 52852956, 526319266, 486219382, 639161037, 703341013, 1047660625, 95235587, 868117760, 107727553, 109541404, 532122881, 1032890581, 126528084, 257558093, 660824978, 870545504, 35812248, 53098340, 965060391, 873327080, 446094439, 537866142, 520883731, 50728390, 632927206, 1213876, 93018649, 235693989] 16476)) + +test6 :: Test +test6 = TestCase (assertEqual "for (minOrAfterOperations [419903322, 688313459, 980520565, 778186531, 728156044, 624785199, 657345095, 600477471, 84801537, 918679624, 490711431, 441138238, 213454370, 974411630, 826264104, 607720179, 902524014, 444967370, 862247273, 242875835, 910165871, 234085344, 56194074, 669961614, 580482922, 102842631, 838733798, 865213362, 174902297, 324262124, 43612545, 1052603088, 448258986, 78235688, 726214989, 934622879, 956710518, 989435480, 705776991, 447074093, 808023410, 556483273, 104533741, 879637843, 684408412, 622120989, 795161136, 783399911, 813310226, 1030907029, 686190807, 413288229, 1004166644, 1023022180, 129497557, 354107595, 1065413816, 290589625, 79916667, 284304480, 332679726, 796032677, 718422367, 598059210, 596283479, 443182717, 229645917, 860349771, 231040456, 855848076, 873894335, 4358310, 193369625, 156251499, 208591385, 378646994, 118986689, 775540593, 840938462, 989338504, 84993787, 539962592, 49170592, 1065398849, 655839213, 790826529, 313701856, 564283566, 466416494, 836304380, 147697308, 954973000, 76617442, 1048824033, 887846413, 254276909, 420038139, 905768190, 703530825, 792067153, 199839840, 407749187, 351490476, 991498362, 384750321, 443082217, 778248150, 1002636021, 1068542543, 374415959, 1040971587, 945025935, 799778208, 683471198, 162995731, 656866562, 1071611333, 791076753, 736144094, 512137058, 507013552, 880387752, 1022746980, 977811997, 576200117, 675971886, 415300227, 165201856, 401015509, 806143344, 255185897, 404206786, 924262440, 432585639, 798614181, 171373027, 164454118, 777761666, 244588253, 477096333, 961735804, 949765904, 908002868, 279418360, 770458150, 335010281, 941317570, 365870568, 941481536, 425610038, 701178117, 25766278, 433593525, 200911499, 414310979, 192231436, 436086338, 813687008, 286775669, 753428386, 946668362, 141872550, 134754960, 951777274, 29872152, 814884739, 263219348, 430441262, 619616328, 31981485, 114725231, 558789639, 8570896, 486662318, 1045292612, 468294179, 204660873, 412319862, 145482639, 859111653, 710346452, 840001646, 191484842, 735302464, 471119719, 1052586807, 195133236, 21125183, 144548369, 179686319, 653354670, 183802239, 841494069, 634517576, 382671470, 912697337, 733558641, 114578817, 416492954, 738807694, 1037329494, 185913717, 424015851, 52211668, 1247879, 648416745, 790877581, 858332348, 305186552, 400076193, 560402492, 830465710, 972828067, 906454992, 188241551, 955223546, 638304228, 728812085, 1021152368, 383123183, 502877257, 959140704, 611313213, 1069905771, 831702066, 39452912, 302422955, 717825840, 419583159, 884641678, 799518030, 934461558, 973282936, 982557666, 814119517, 737160348, 786167020, 674815927, 437700178, 646682659, 272899346, 701631141, 223716939, 269783697, 687247339, 340175007, 898124411, 88003061, 34267468, 1016436645, 277926568, 434810100, 134885341, 286216180, 576160272, 709025623, 307425796, 370697810, 407837507, 928198431, 519250205, 727912066, 160229504, 889130670, 241442482, 938160202, 980659102, 523000236, 14550533, 499765531, 763973358, 494467960, 11452410, 270019710, 998404681, 942854489, 438629055, 974360577, 142417263, 522616133, 745637981, 973680269, 41518275, 214837532, 259525576, 1025845193, 354561150, 686298098, 325077000, 88159629, 73868329, 231817361, 629664585, 99206636, 765562878, 226262955, 935437397, 469180748, 759337480, 19755996, 882074865, 79489295, 424374494, 667958867, 245299215, 250245245, 244061826, 815590676, 159861074, 528333856, 943510027, 521449973, 836237260, 88127150, 359221344, 526308976, 450841381, 42115276, 643189505, 935971111, 548792764, 700201725, 854178260, 138730366, 89262120, 507590337, 33924048, 553720962, 160961307, 900053415, 303870001, 992709457, 846854954, 285686467, 637012705, 544707218, 794668873, 313410245, 742676275, 1071618343, 19436565, 163194953, 1065852815, 573327034, 667993998, 764963590, 359733236, 50588984, 57082058, 606594635, 548473938, 379417727, 112737524, 1068584616, 808517597, 569493239, 418742907, 312060049, 668230157, 500202325, 260073638, 16988131, 681806689, 964535753, 678210710, 466610822, 395686844, 795452793, 710129161, 926040318, 1016593564, 431585965, 101037733, 1007128600, 495096514, 170741563, 1050344411, 249886317, 33470668, 925918735, 696908659, 309263881, 793746401, 730316956, 781322995, 586381290, 754574933, 37115674, 683024027, 494215669, 358256783, 159152937, 97702287, 390933579, 591943400, 363885421, 545462334, 385736988, 75100583, 687707263, 126571461, 792710976, 299722363, 452394152, 557269825, 171956285, 673420811, 124702052, 1014435314, 854878299, 639207627, 185026876, 881139862, 829983250, 660201307, 208321081, 948998256, 595006958, 773996369, 402143015, 459493326, 509843218, 495861451, 809648379, 516687012, 166236911, 1028219609, 197871516, 91787129, 389134782, 739998273, 748285581, 449928336, 301341493, 188525211, 142191783, 561939123, 599879587, 442941688, 955637059, 238244805, 707424059, 228685881, 771469157, 811555052, 897069330, 951811193, 276919007, 29393960, 1031961447, 737519466, 345252856, 954349052, 866818855, 330797033, 5858293, 439794186, 370348341, 745754193, 353230282, 904230764, 519661019, 254887054, 756675595, 139694958, 938211778, 511053630, 345984707, 636133251, 142978751, 275871440, 1021510473, 170354902, 814208178, 370923856, 299917487, 118540309, 737535604, 830237432, 569913709, 122688096, 895637971, 429603850, 188818406, 559839006, 423282923, 230833962, 168978543, 468342897, 830196701, 401117933, 134436125, 24319379, 806054292, 93120824, 129999490, 612778810, 474427066, 629503183, 685261876, 514009465, 25347970, 538808316, 654322698, 197039941, 1004652125, 134414823, 979953922, 109031535, 128999803, 1011902952, 71220257, 415745468, 80664570, 670015896, 1059584519, 716627314, 381896075, 522680472, 820115610, 92563767, 1056541961, 1063655803, 794960603, 765042543, 751570522, 476769541, 975671417, 807141144, 712348872, 851283655, 228886072, 790968481, 710651696, 452627611, 933917179, 348542700, 208367369, 521488293, 370434036, 341529578, 782925332, 652593355, 285390200, 637735566, 534776277, 824020184, 700501854, 574235164, 657599823, 30325796, 63176444, 884966756, 925935851, 505694827, 965776503, 783222588, 924165289, 737567460, 562030525, 995439966, 997782552, 95917301, 323713651, 980612264, 368333309, 883864549, 152182408, 437365089, 867457385, 1048294143, 847642172, 745616444, 458954218, 614258986, 654879656, 5241059, 789838691, 900341357, 849357876, 984551062, 380533738, 823084289, 820705900, 861268393, 180169387, 799809303, 381208860, 438454209, 429606694, 670285469, 97100661, 561241118, 990232351, 1027086323, 500418691, 725234260, 550514290, 849582323, 119888205, 852436724, 997356525, 620665781, 978015632, 697819272, 927098413, 944618400, 145307974, 110550033, 382575542, 380344517, 96058360, 221342195, 875024144, 293066211, 659619665, 100552225, 545661163, 513837450, 1057309622, 572234579, 438960134, 494907887, 115377354, 173540896, 549014538, 196116333, 581475126, 152173120, 170817302, 453541658, 711812256, 557585117, 610670070, 977136391, 209989676, 483024416, 235260499, 747346723, 1012293003, 695886624, 109474890, 986072547, 519835783, 1016979293, 329204328, 901450272, 402663957, 320333148, 540755308, 1070438078, 507428383, 123048305, 12775252, 836635607, 274998821, 80425763, 1032171547, 160354355, 750236046, 403090770, 459961641, 572149217, 787476007, 1040533134, 582194946, 984034195, 615394394, 313155324, 607737665, 364231086, 987472888, 570760263, 677952076, 1001822083, 38820911, 321740672, 1038650913, 82928738, 731558331, 947613418, 1005649390, 521850983, 987272434, 392425986, 283556280, 461088206, 375132831, 571380469, 951302252, 997636448, 384062399, 754989882, 780515773, 383621295, 43300663, 385251676, 116645236, 842607353, 676698614, 1004840686, 817414044, 525357147, 748050289, 675177749, 107190016, 966921341, 1036392846, 170314167, 63122594, 791902429, 638490250, 452903390, 309705950, 696083402, 87758501, 386393289, 468761066, 732913435, 520597951, 439856385, 726824197, 656941283, 688518114, 990835028, 44908290, 419505538, 526078713, 1039368681, 15942505, 844396678, 395229133, 822563145, 594684846, 687938163, 218217093, 579800250, 898843041, 393314108, 510486815, 393271512, 1062184595, 419592561, 925420570, 572312604, 890050540, 74251217, 244191009, 477642153, 104843439, 968083480, 1011582071, 198594170, 37276278, 523941185, 369565997, 804617038, 664986719, 23609043, 539284557, 219784008, 698662093, 538233319, 959855430, 151733782, 854602959, 497503459, 748611927, 221807091, 895848512, 50590047, 887037568, 293984754, 617361109, 175483569, 125740052, 391637672, 558453074, 61171735, 1073268545, 568882903, 677357397, 1023959643, 201004110, 598235045, 576417662, 374845664, 688159441, 655812207, 284066120, 704628758, 1054852519, 167048409, 727524544, 363874212, 359904934, 374121276, 817814723, 801442089, 181806578, 350067096, 978360857, 660950828, 1037647109, 101104725, 929022519, 666401241, 233778463, 302811665, 885018836, 247669787, 1020190457, 36028049, 611437845, 1043081986, 541925280, 939204649, 829765701, 1055569927, 514740934, 710929332, 888843757, 977929883, 13732107, 750038880, 491565368, 423262289, 466133970, 257667321, 549272085, 209438800, 924785089, 589708050, 684574554, 707559850, 57991229, 471116904, 945056255, 308838712, 217006139, 613877518, 715958812, 853900323, 729677420, 256671463, 602973457, 555163525, 161889029, 857348390, 856426078, 632994872, 908956780, 778441587, 683547270, 52365671, 65333064, 730741040, 876891266, 76489744, 1054213916, 401090549, 227018737, 1064010180, 125308115, 500018012, 195366334, 567142551, 983560471, 633781991, 988667525, 619889367, 722897059, 660514371, 972176733, 915640390, 674107047, 343732530, 964673801, 897393953, 443527382, 903639224, 822967761, 142730952, 9702060, 753231857, 74936240, 889115545, 293259503, 251061257, 207619865, 262779125, 90141328, 89769773, 252701709, 205998048, 942203071, 201845225, 603393098, 479070682, 705653925, 228459556, 60210095, 46322075, 601384237, 847987675, 21851313, 765950229, 17857588, 550037614, 581813301, 803212862, 567684234, 532848494, 628623800, 310246795, 768893391, 617951245, 220783986, 871171889, 876802114, 619106584, 295292378, 933116900, 288068209, 575331395, 781778123, 641288337, 389603278, 130329316, 653870182, 425979305, 474989165, 75530234, 439637776, 409779379, 608070738, 1042442378, 629593021, 434122457, 792533815, 696752030, 880900078, 625799453, 396451842, 40206528, 594415962, 730138851, 1026891350, 1006620684, 876628927, 384971280, 301897130, 285882687, 739677228, 137009669, 544730266, 956673691, 371061225, 100953473, 520612245, 391253145, 498652344, 974456354, 96855210, 200305536, 711047739, 103456843, 400092461, 913850517, 137534348, 853680110, 775546425, 152831562, 851175363, 260364005, 726704211, 868296214, 453904202, 467183351, 906544277, 964163996, 630470742, 130082157, 186070115, 12342320, 148352420, 816982450, 645084474, 41608615, 161679100, 346910689, 783032445, 1020537514, 261031072, 994462572, 157299070, 46449697, 360377908, 570565985, 278440002, 954859574, 1022566262, 668558480, 832822523, 292611355, 821858059, 530185047, 296418185, 499656945, 429632637, 1024274689, 587204188, 470974330, 89358678, 640141626, 1002418672, 490312047, 310106211, 171205864, 213846394, 468134064, 482229731, 645742982, 85614860, 1061824727, 569929946, 22539895, 718194676, 11874796, 46825663, 1061730575, 75520456, 282361559, 921457962, 12957471, 405459176, 598724396, 582333105, 1050616900, 447655993, 339375819, 986613211, 818339725, 847302158, 754351063, 945308045, 96016240, 700240788, 377855230, 926696676, 224546084, 856011295, 320801749, 475804804, 380300317, 909900113, 35268291, 165213346, 503444435, 856025250, 675263094, 16928944, 670623448, 858558591, 48826898, 669906476, 998879990, 1028234990, 287064441, 530318783, 749561600, 80399440, 135206014, 26006926, 788773730, 352434229, 569774388, 395676382, 530949721, 308727416, 973900644, 91267429, 954700232, 821342013, 777524040, 437895334, 406686965, 304677578, 101153924, 461798859, 1072743473, 272042341, 237216363, 921843874, 494865628, 922147444, 97630303, 287364949, 967207050, 601462396, 307092603, 129098093, 16297214, 44426252, 427579268, 68354726, 686623826, 605590463, 47622085, 342402023, 1071621451, 781269984, 2410862, 276870874, 1046637726, 589260076, 478126883, 535274561, 1007507891, 619156034, 560935752, 356610104, 589602792, 228073821, 1016769744, 64632008, 620787956, 850735414, 686579665, 171791814, 879724502, 506140104, 1066016595, 362715956, 528771667, 7809061, 335658611, 1062954636, 260282554, 675295389, 932153877, 988201175, 718962383, 197364078, 700577087, 11164924, 229132464, 136100531, 321978308, 724558723, 386884110, 697152984, 952440066, 661335342, 152659850, 323053298, 972321535, 787628197, 100898531, 120108102, 681581068, 849892307, 697525981, 387725660, 846790388, 868913139, 173275421, 360342306, 295924623, 790582128, 2162323, 748052597, 48015503, 312275763, 787621178, 876350776, 290941433, 852551702, 606452855, 851334719, 586773607, 819805299, 47623215, 540277435, 15051152, 803550880, 211310750, 563375820, 841957965, 719976592, 102207285, 253031081, 858530726, 744107368, 951073385, 402930250, 83539648, 593711068, 11956308, 672243737, 201043970, 738465903, 246176775, 489814840, 512135917, 993255226, 301128838, 397913686, 229437853, 221372414, 308332997, 887971732, 989669454, 1010710381, 682637814, 921063552, 398306700, 269067405, 734309333, 932051927, 944352460, 1006773420, 66640658, 484296330, 227148410, 963263571, 884180341, 632213232, 711226487, 260817125, 570564641, 180846262, 755598455, 238551654, 375473680, 1036751668, 457207930, 325508411, 856581843, 1000903456, 909615641, 790519109, 4269180, 473144590, 826435625, 873219190, 415134683, 938451493, 1054746712, 692877959, 685300856, 518144865, 908380201, 659793981, 148960458, 487569785, 436654012, 548246645, 551217040, 927781170, 645663518, 780948290, 565904077, 457146262, 804976837, 489975257, 700500649, 560350882, 991467675, 589475669, 554617486, 574865236, 872439283, 983966725, 1031186898, 991668369, 1033569783, 311133064, 306796529, 609322534, 1032942282, 149237528, 509624458, 1052603497, 54651522, 516827236, 362137070, 345910268, 852752005, 429471291, 220550753, 1013254462, 827125693, 933496062, 1016760871, 330916614, 326782525, 1010259736, 652879588, 423724451, 558302300, 78619099, 8941144, 924990983, 814166005, 829565515, 586957227, 36415604, 294702095, 144700137, 381006767, 296580151, 821242581, 340441224, 243734094, 806563036, 646197302, 574858975, 731972337, 694091486, 829711464, 724117138, 957982542, 113174423, 1050435692, 381558601, 11459581, 336342845, 821577763, 342215391, 594665431, 416866221, 216595169, 293176707, 264847532, 691379134, 952615058, 162501470, 855481550, 137657740, 815625473, 350762483, 408228971, 563683440, 695869600, 611546383, 970455277, 349692594, 1073601426, 692467305, 289157762, 980589096, 519789283, 1018361943, 836960149, 137050906, 676377410, 146590418, 695212805, 320939521, 221735880, 174907962, 524324393, 653889711, 380893440, 329304130, 1064897374, 77785540, 131291185, 557608667, 660800631, 274985757, 322461711, 557124206, 277089274, 447761865, 932101714, 61326100, 264728699, 429524314, 458169208, 28174845, 997668555, 632424643, 644105518, 359969614, 177549377, 1013004086, 764549006, 676610495, 884894369, 69172462, 463339716, 554901536, 489003377, 1002427464, 956818450, 543257910, 77803797, 761228645, 412607755, 288258142, 878596648, 174526813, 1022711824, 108480702, 358949042, 55862203, 437141030, 278952414, 756622725, 800064912, 634397641, 166363611, 899083140, 12867913, 879692980, 566190973, 784458576, 455450122, 593018867, 1067017096, 2967255, 104950001, 855018518, 947427213, 254769525, 1054117923, 52237089, 431282835, 226400719, 487308847, 716567341, 735199555, 171513078, 369999130, 320174527, 997145225, 285923420, 936975748, 325750107, 103344055, 1046472870, 613556515, 191536018, 416028218, 282625741, 498758280, 496613997, 198584177, 608169654, 766244155, 231301452, 452678456, 642908194, 623383814, 1072420726, 342941393, 775457987, 852966375, 800953511, 545578796, 719018360, 581696182, 1071849910, 425429820, 823545504, 266706918, 33497808, 733700809, 849780642, 700699958, 632180155, 1062166508, 159217546, 234531789, 867365599, 1061781538, 211023111, 137304160, 33309651, 255072850, 190087422, 695100818, 815665951, 484276162, 187496880, 742973917, 482860202, 390569455, 412873140, 469102234, 278669747, 31296345, 799778135, 665679688, 125936467, 784478394, 289534459, 423108840, 742402684, 377010140, 769343554, 1017440917, 682316827, 873597584, 658911981, 854521796, 985993140, 1049355795, 124200246, 399219048, 100759800, 27320086, 317450479, 874001953, 1005080750, 43325247, 527052647, 1060045637, 1022365371, 509346047, 240246267, 786538142, 900797592, 366863696, 229501480, 266812293, 239610258, 899495619, 868637671, 352903131, 758234359, 1005851701, 962133878, 136430080, 636363927, 517460936, 260916895, 108950912, 430443576, 1020691858, 1048477930, 15776355, 135661682, 127851798, 943799991, 258389016, 818195390, 57710515, 628136691, 513483465, 37124938, 452242420, 409844659, 969736104, 64141282, 544590518, 527584066, 167559935, 28282920, 249307427, 25021894, 558735445, 966334243, 597295185, 51241982, 538274514, 735779445, 345459636, 437827191, 301563561, 93954702, 199581077, 567351755, 802190793, 105296534, 544347855, 685636133, 67695731, 357477136, 789893746, 402000918, 87030825, 950404464, 139294393, 428629678, 739807513, 8761205, 1042306262, 602099622, 73839598, 436210674, 114084395, 237081783, 687520231, 576812643, 244062097, 684271929, 632165578, 60647106, 872481051, 230052427, 792228480, 265714695, 271105061, 114236580, 544566912, 21512415, 311499756, 412874215, 600396869, 711540998, 221942757, 320361679, 972074088, 857690478, 657541864, 4031749, 301527974, 506373719, 175381560, 365956915, 985415838, 201587092, 720054473, 1014834897, 846507660, 1032660582, 466373944, 638654411, 252452264, 405738733, 83215995, 567138216, 315210937, 565006905, 878784953, 749489395, 507649367, 348234191, 923767344, 894206600, 586502746, 538400392, 572442657, 650315389, 149755445, 690523512, 62319755, 771841941, 46042965, 212652466, 500114358, 384645156, 527034014, 580511354, 87872498, 88106790, 16958841, 156280149, 128223797, 280015789, 214730653, 35812114, 61734609, 904925295, 457533136, 265162655, 748857605, 413268757, 760038558, 637061724, 48518328, 762746426, 452006441, 295191777, 193736716, 279469338, 784503961, 782757866, 800194228, 1016246466, 641875913, 991887964, 721440411, 494391150, 94142592, 739839149, 981673104, 850016607, 545682197, 686948070, 939759740, 1006499512, 750788235, 106935526, 462447252, 263185124, 970108392, 535473260, 1013714320, 1043260195, 17499727, 74786478, 911892558, 122201370, 13681963, 417557909, 837581569, 820015839, 170289440, 471308940, 915355420, 1001731261, 893477900, 223922051, 51320793, 413275596, 887984166, 589087889, 1001264079, 969972559, 580203985, 1071810890, 892641911, 979181308, 908474862, 115591140, 26663295, 902713098, 475725998, 477404959, 441398185, 810961207, 837052510, 873577998, 302982027, 97313698, 242673337, 1057685869, 1033648716, 796125634, 690779106, 4135971, 44386411, 512795058, 68827162, 493062155, 352290145, 679346551, 749940615, 165278996, 793839953, 798815702, 500176982, 97624270, 899106368, 979782093, 149873864, 986185308, 274433507, 797245726, 174124481, 613658784, 736668690, 335075502, 1072992102, 823285171, 672112706, 555231255, 1059732323, 683817355, 818761247, 756241653, 58464057, 587105210, 182738192, 816996979, 980688635, 716265905, 566911266, 275326620, 116024470, 454530160, 255937709, 387506756, 240832785, 537886969, 1054341003, 135482924, 182787154, 104354585, 590337071, 108078127, 862495672, 902527096, 721885102, 621892944, 680778248, 238590546, 326927758, 1062311021, 67931373, 35920203, 659489679, 569421307, 881975427, 649060942, 571895751, 524640755, 426471774, 378733610, 604392390, 1008071836, 309700078, 467207354, 771800498, 841498277, 796591113, 276601243, 571848871, 127039041, 681854445, 841497929, 672749174, 959327389, 897248398, 389327760, 48620111, 814890334, 838041475, 232305566, 547810362, 97601033, 612006422, 630413459, 211640735, 813117391, 851735704, 1031638705, 740767187, 174182028, 375376187, 24673444, 124789875, 176350870, 954139687, 506094332, 789858189, 402917993, 710371269, 834212646, 796587632, 374660688, 167562598, 509983303, 834826379, 923731499, 522861851, 933921374, 871221086, 633414368, 190290211, 560748408, 439755355, 653934934, 266136459, 965386562, 91362196, 507873678, 148883089, 430362488, 295993362, 625707838, 751721658, 142388893, 71186396, 468950171, 250288578, 66632400, 374787730, 823965094, 580299287, 630072597, 977835624, 1020609131, 206673798, 625118215, 506524866, 290152242, 552694081, 560072515, 888377099, 887199307, 55861944, 214934343, 417529155, 704091774, 972008644, 638777674, 695682197, 474989609, 175795593, 685626963, 416144486, 720971542, 886223758, 259042391, 55740372, 721893856, 770397838, 108116682, 634217797, 618494529, 1022954122, 493284102, 233260470, 512265830, 24076693, 765548141, 369811040, 439373224, 951300334, 221165880, 1060287113, 719903635, 759584919, 372304307, 1025540281, 293140294, 220565228, 103489205, 243489436, 1034558874, 454001038, 873782217, 634299200, 348075436, 691546958, 570072160, 189796089, 205578380, 351143039, 340341527, 382694279, 991248958, 373922832, 232028394, 513223310, 997885965, 198712486, 631049961, 837043928, 20970086, 714136470, 1023517183, 26753498, 888229995, 854777169, 798317271, 449552015, 438585380, 306281505, 284034732, 642877660, 831846901, 451800560, 4146183, 501428588, 555236062, 1001276374, 301874097, 113060409, 1025595320, 560618367, 540478163, 310943930, 108278653, 1068456927, 768839330, 753618715, 164129282, 956540325, 47898257, 323344476, 802369181, 515325176, 1061719695, 105155235, 606115353, 164282681, 556458771, 550064029, 736077248, 954118347, 749558122, 59709959, 234240592, 566296216, 502712222, 197652940, 345594423, 487488910, 757252200, 1068538056, 391057160, 904762563, 519198983, 445456904, 119891178, 737578397, 625919936, 229554022, 418627496, 997820504, 366043991, 6153341, 54955180, 849595793, 550730052, 475293779, 133603134, 229633721, 717782602, 767329237, 483749573, 747445095, 381701545, 484107736, 980782550, 178211201, 890465014, 580636594, 316817178, 416120910, 451204037, 1009851774, 259405218, 80550161, 1018538828, 906406580, 631924551, 144508843, 274768369, 578210512, 113089994, 313008319, 177134835, 236221402, 978141837, 915702750, 692939750, 3153177, 1009852865, 331688575, 887877162, 513621331, 486238568, 877169169, 1009830147, 919638066, 812851486, 972319777, 25962300, 120821877, 48788599, 290643493, 216517175, 467108279, 58176735, 856163725, 957773949, 688825149, 975184020, 240713321, 942599227, 478025875, 901774160, 270085563, 1038515046, 3385720, 437540442, 994501584, 1068864323, 598745008, 763084694, 652691607, 978695992, 906868233, 785537398, 765387280, 363379812, 540406987, 691986041, 144970580, 415292760, 25920987, 842356769, 608074584, 487754229, 545734556, 510554794, 759698164, 487152775, 104150756, 222794907, 228591574, 186895023, 1039654305, 247345981, 810929038, 528885534, 853980236, 640120496, 1031098548, 805576381, 1055915797, 677553630, 842236188, 880166184, 569758519, 166434058, 40897806, 122482443, 848883645, 539998281, 838461136, 930712666, 295399647, 738237606, 535063231, 173114357, 369731548, 399201281, 720409890, 933854439, 332446519, 440814186, 593134985, 819584615, 689114225, 149005203, 465981432, 999487905, 139040026, 288967501, 364372552, 462604033, 743106203, 110056806, 17064042, 618935969, 259012299, 673493899, 139135704, 940997402, 833210085, 798426299, 498708433, 895150206, 480553675, 114787368, 958920817, 824572653, 588279982, 4373879, 471687488, 428040704, 899925203, 107249782, 156074056, 657232517, 1068519264, 191659677, 823991679, 613994376, 286717364, 150793033, 445081200, 225295863, 954132698, 867493680, 899686488, 615661644, 875865031, 735807413, 683707114, 448161760, 38093899, 1033397035, 115738525, 593368736, 198782687, 913815416, 759721191, 586853765, 110945750, 347258797, 568017242, 957798657, 246636729, 309487083, 350394591, 764980760, 850827553, 989031505, 212888649, 893947108, 467036266, 574299657, 903947360, 726512839, 936801052, 329001456, 926440472, 299105578, 678232785, 155160219, 844271690, 658733663, 942195514, 1006838516, 46640515, 1065426611, 980717618, 906339498, 797577870, 231362640, 58234258, 872874571, 743409312, 953921083, 457449998, 1009307667, 126274337, 408461916, 797422865, 435787628, 871876677, 590737185, 800985704, 261062560, 502313828, 381739386, 405984944, 450337581, 1020013554, 476960250, 496833080, 611625838, 330537009, 769630808, 496445386, 562716682, 956226658, 192024683, 596546817, 943902169, 793010493, 73016076, 875940168, 617781977, 986109084, 179444597, 330688906, 1033218991, 938639340, 327321601, 156392586, 1041779024, 362119403, 515888216, 757597844, 233227551, 839254106, 816996946, 862667467, 76081424, 993876975, 116894322, 399002409, 201338652, 655952015, 477267432, 170042572, 877812202, 1053500844, 297158880, 341833150, 613705026, 281932535, 792799858, 142808107, 863498947, 342903491, 289420272, 967132687, 249578394, 202015566, 250840447, 565623780, 570276536, 665029529, 816817116, 91805232, 825709552, 991990826, 387219907, 19373203, 902866980, 432119063, 901387211, 241065519, 511600961, 712199350, 991156374, 621505482, 826224128, 440697752, 913707339, 917110535, 716980252, 279734444, 888617829, 174349627, 644902833, 254107291, 363407529, 300258274, 62298428, 440055830, 1596393, 186831925, 1069118694, 991331780, 445829723, 911540781, 706027067, 115526460, 505707122, 833125452, 106677167, 13763032, 162569571, 355550477, 531093173, 422766279, 567903160, 319526195, 126166044, 802055160, 72982139, 1012794470, 360822071, 988973177, 705861999, 772506045, 933008201, 711141421, 548327863, 911438764, 823823855, 217017953, 231638202, 624360644, 466619923, 48894138, 378532929, 882513897, 311330187, 548434541, 414299453, 543502672, 235191553, 1068585089, 307656150, 421219705, 677639634, 526574524, 743775017, 115085047, 326611387, 79835231, 73821404, 170601810, 848797823, 697604966, 304499798, 535743748, 659975335, 655356660, 95527780, 701405179, 434429830, 840810925, 753325176, 359416, 233929345, 62347983, 91283274, 333541438, 808954262, 558659549, 881002260, 878571884, 962984541, 103513800, 1072746611, 882436100, 1047134613, 602624237, 48791460, 89529188, 217840179, 329363134, 257807080, 542227650, 973942797, 258315909, 863504935, 1005310948, 214644540, 735547347, 622388477, 224177735, 305203887, 508430059, 48612220, 133107811, 873460389, 1025462894, 1007172348, 386634479, 401419645, 837185341, 805335492, 1037634212, 701426513, 740792107, 108540996, 555033591, 221508713, 917829933, 255909700, 762527361, 603082571, 607040228, 575908887, 648682776, 755536593, 935331268, 442703912, 25273875, 1045264873, 301350014, 670744016, 660446670, 698590824, 645095871, 868966984, 883331971, 30311594, 433320737, 163410417, 509784538, 632010668, 779847571, 509540067, 444312286, 980687733, 172784129, 375486066, 272700560, 149387989, 426296574, 153420557, 829967203, 969808089, 958183787, 1030956502, 817534928, 499881864, 839850102, 39699322, 640076396, 865648870, 737876663, 475115237, 684749786, 498390530, 2849681, 744083403, 157695566, 498966169, 821440953, 104216213, 926460239, 823203777, 505443814, 459187262, 409924052, 87482867, 371434378, 389208723, 82583946, 149771757, 40442130, 805886328, 415904083, 330782104, 699060343, 983663586, 1058691767, 219614220, 541631364, 7013613, 598488151, 603849291, 659561298, 653982775, 286468933, 418404397, 195750973, 77795550, 157937363, 460589580, 164994619, 646794145, 1038690048, 80075717, 30475986, 161927197, 810551503, 742125782, 949008793, 797634773, 1043707074, 17088094, 381415990, 1040037252, 230108182, 866816710, 224452161, 544336856, 66124140, 653227670, 330356614, 685659476, 58573639, 111706276, 560858308, 748416157, 369098167, 1047333355, 671607343, 802440940, 983607795, 644015530, 846991360, 373648345, 843279800, 30653113, 666820775, 333866079, 448731631, 656983517, 168774068, 1072999503, 434887955, 647006649, 675671949, 388326208, 208935955, 221165972, 26622023, 107659042, 539983157, 458841851, 979178158, 529293044, 30574489, 207640073, 948963419, 183729934, 476223258, 926043777, 311939013, 508293175, 520585946, 1068008504, 17646387, 802587725, 403582205, 528657602, 707458937, 1020647968, 584579096, 398893924, 4694175, 726180796, 319926571, 547666777, 492154421, 945041423, 662552569, 1015343864, 45086970, 630022083, 938587796, 1018202788, 859753717, 404741971, 598780909, 121431935, 604265531, 367515796, 504765486, 75874608, 546602286, 643745917, 164022792, 475935043, 662422093, 566561744, 966118323, 309084121, 614669959, 247454302, 670927416, 232436066, 475429307, 38480707, 780165468, 255817038, 268871695, 960250675, 1774992, 1069283460, 590338783, 742154004, 609255862, 573404181, 705021195, 62449298, 212698550, 1023710427, 742431961, 387644526, 798481629, 428829812, 575878642, 553901175, 1020453537, 966207013, 632412426, 209776570, 395458218, 799351628, 550197460, 469739871, 806471094, 797706433, 300075335, 980249382, 465603960, 164205085, 550352357, 241858663, 925411364, 628451967, 862831806, 817027454, 865766898, 149265061, 667216299, 306949042, 766589397, 693696282, 61674908, 834405104, 172519891, 776599400, 16482142, 296370117, 344594650, 950844295, 573521530, 280491055, 273146175, 635696627, 931396337, 979401451, 23841400, 123925692, 826925208, 426809760, 594737799, 283487720, 444554449, 520419002, 281871750, 604330727, 734763698, 71158186, 616502009, 79076036, 76351129, 356901300, 992307920, 5347832, 230583930, 441771187, 102476769, 329101174, 225351024, 977975973, 1016140557, 633829310, 1039239473, 424461408, 929067158, 893969166, 765087465, 59722543, 520227833, 801028919, 191092888, 533890134, 504285948, 312482246, 1073669724, 778764604, 801123096, 356162279, 818845445, 678453204, 931779805, 541805452, 375537301, 761720281, 868724353, 106935533, 356755802, 935870901, 935232575, 776934318, 711366736, 783918082, 1011635546, 308617377, 1072855919, 30074243, 967110078, 456406969, 550815254, 992798228, 354201635, 992709844, 741939045, 695224566, 1017276561, 564231298, 371180239, 810618572, 668093959, 27319540, 306391873, 1069497606, 621965850, 286380081, 765549229, 487081400, 342001129, 988829123, 920908458, 455168964, 397847830, 749786821, 366648786, 217561590, 37726295, 870904092, 326108411, 885364139, 321198437, 860864855, 175254412, 119675345, 568388649, 510747164, 944298658, 916345266, 50006068, 794824187, 430685857, 854941493, 682567139, 782160791, 955134476, 473370708, 752257575, 365133798, 455019378, 915818260, 695622518, 429561139, 737466424, 143211942, 812001817, 598743698, 189904141, 567630763, 243916249, 583748835, 21386990, 196888671, 1069065997, 839504029, 460323561, 430910650, 336359861, 829920, 46970033, 827139442, 479809113, 106851300, 797875608, 564875323, 877715758, 635320989, 154399934, 961490679, 946967332, 241143726, 294170281, 939791550, 271142297, 852930166, 220490855, 153260932, 376433077, 994621078, 416788896, 355104117, 556858319, 644880978, 659852318, 275446507, 820504543, 29519215, 844189908, 561714774, 903993430, 981697536, 439508056, 55990192, 706774772, 574493500, 599736958, 49644190, 454777344, 879290568, 215192628, 30568959, 38417042, 911096080, 135979637, 121858804, 931125248, 745534565, 997532213, 152286408, 304129169, 1063329475, 91201251, 350935872, 997762335, 808558788, 823120230, 979654914, 760603802, 942464105, 12383675, 547969078, 876509711, 855401270, 912365682, 39351868, 991078774, 50235970, 2005088, 120856200, 508231104, 1037755563, 588600301, 281684520, 419243202, 916931244, 495859215, 598217072, 521873784, 720896442, 997402689, 725949013, 203008612, 432998963, 894854285, 799972127, 496855168, 595563587, 152972444, 785557375, 933330662, 900467406, 1049360647, 241401992, 885392340, 785948048, 91674083, 490348514, 458545917, 727571327, 924464676, 579608178, 340386498, 947439072, 859345536, 143655123, 248708444, 910983420, 453766780, 1061789425, 957849743, 24982723, 79098972, 606257667, 1029087181, 985616239, 869706329, 1041580372, 280936028, 481534898, 121593556, 365242025, 845039918, 436485405, 907245894, 560579729, 725697211, 15294924, 359050315, 836896151, 706786582, 746815955, 117645735, 128682762, 1070986986, 572327553, 698276412, 64336152, 192785474, 198281012, 416335616, 561326599, 763164473, 881080939, 68684039, 176804147, 174533560, 55749633, 438682759, 843451017, 487209040, 391153254, 346675265, 168768077, 579631603, 485414439, 497019995, 530849600, 419503384, 517302000, 917737442, 466053014, 369120916, 642194740, 826435882, 329615484, 838221815, 156195856, 974268099, 61318327, 529787421, 902077998, 572982705, 234961180, 897921209, 595361519, 863666727, 832306583, 338139906, 895174611, 707940651, 214896565, 11312945, 260539726, 412898450, 17633706, 260100515, 1055920063, 79856126, 289399514, 498646840, 136222286, 677068863, 531677101, 1002708439, 905163806, 849858378, 572475404, 127953977, 560730039, 60844452, 784900343, 220033224, 95167562, 728662280, 960812603, 597691840, 796021962, 738628331, 213520908, 540535604, 534253861, 307783277, 453288198, 23278278, 842890403, 990591843, 476551899, 379104057, 104157198, 599114684, 780796121, 1013123736, 64212629, 62747307, 678655571, 76493474, 6072498, 886583726, 1035027301, 609602041, 390002914, 722184378, 763045550, 947842346, 385529614, 250573076, 886228596, 860127972, 133073401, 237292392, 433077006, 401954928, 7082638, 848050768, 197886643, 701457265, 74751223, 688734513, 68562572, 331806541, 824792590, 424537315, 801908058, 655003480, 122680629, 1039394365, 510718752, 1066750273, 126166661, 417936325, 97598711, 236306311, 36575647, 188719070, 74615662, 494906631, 495039912, 551581056, 884003431, 726600683, 526579059, 549120837, 181097197, 181621672, 14812193, 767515533, 949661792, 39013100, 326149148, 749419174, 795477451, 128898780, 99479586, 757189075, 367442136, 979629104, 440774931, 498716270, 193236300, 881085082, 948943338, 97932030, 799944770, 656237590, 590024579, 298691744, 773087660, 886768013, 459764473, 368635971, 372548551, 95645642, 906565756, 959570240, 369608310, 827826289, 115813347, 98208408, 191711390, 460451523, 754396107, 240435740, 636816146, 688550613, 516132480, 1040423087, 954766159, 956011394, 708153057, 690047141, 1054195097, 193219634, 492688081, 158134248, 155673222, 884413341, 162729903, 37057248, 129684638, 667314996, 1044584724, 179697568, 157978240, 74191319, 1059597766, 436084768, 645905361, 350647723, 856061495, 792267926, 919198424, 568228177, 543106687, 18877591, 712388604, 932292574, 1065898292, 424367035, 237089815, 383413414, 67190467, 407723362, 962470769, 535271448, 243525531, 399393847, 451879001, 328509146, 485141380, 745566395, 189495435, 484308565, 784783698, 208584888, 175470299, 435117360, 248098383, 617570570, 134661866, 608134430, 980294973, 417678182, 503026486, 792639261, 433161251, 948939652, 1020645891, 912137567, 671968046, 268543972, 462402225, 296809834, 948209665, 1053313740, 8836571, 1004965949, 593684918, 997269066, 483621031, 1060065574, 786837269, 140863777, 389824552, 1045524171, 153088249, 430027334, 64755652, 817902809, 286828384, 506121984, 576273429, 849889240, 214920000, 498174079, 760004976, 1040534813, 837105226, 736928262, 519279842, 221005199, 234904358, 504962620, 277148172, 674219254, 1050518813, 915055241, 1010290956, 614603074, 244408102, 905322560, 421121007, 916123727, 209584482, 1065068699, 51411101, 920540698, 176271403, 107508278, 394117423, 605768290, 809210423, 1028878426, 935563209, 232656082, 831023019, 840396869, 482121415, 93434793, 422057543, 102819546, 398441015, 808634093, 403627784, 217162192, 66043506, 332687992, 892474384, 568198592, 369020423, 228188120, 384706683, 928353174, 722681406, 348364770, 288141328, 27776860, 1015982190, 648293071, 109359242, 771242684, 10461361, 683512829, 891814427, 983056077, 666415204, 385773172, 934993717, 958662155, 297108181, 1002586270, 782876359, 965482194, 551347237, 333257337, 670840535, 295861973, 486776805, 263879954, 438221968, 1035844094, 640232047, 1052028905, 256626674, 285264109, 922073740, 696788052, 1048461416, 386165250, 508443652, 204567596, 80137023, 1045716884, 616606049, 708423467, 342664170, 1052340652, 732731476, 161215594, 73174179, 308332364, 1068427899, 692934853, 949386639, 794605480, 530231861, 250935805, 591477919, 251388671, 379269648, 933904783, 321703956, 429278623, 368469196, 923365039, 796918874, 378223423, 813489342, 285759974, 560279068, 304460092, 1041868402, 481809435, 696127781, 1053685067, 93625630, 1014476490, 299976454, 843348654, 186177773, 1034726293, 926803605, 198282601, 173049733, 969025743, 833154122, 96180637, 536763882, 529675767, 499263089, 1000137953, 359054360, 566607224, 430930199, 713985971, 1005059581, 960674095, 168429014, 606379615, 1020096656, 388928172, 593972494, 43328490, 321677685, 675400179, 29502029, 963436362, 359146293, 915827323, 693263582, 463185753, 466092350, 482754635, 416355819, 503755129, 733563080, 1010217792, 847388940, 214817950, 736368189, 839790001, 1030325254, 791857079, 771079240, 301921996, 555081996, 644058464, 1014520091, 625772295, 584054005, 839678750, 996487033, 803437980, 588133033, 784830538, 989609366, 803554837, 817848936, 904961207, 786407737, 552842196, 262659050, 447121371, 966446503, 558010851, 435606471, 286759014, 999066836, 1071382422, 830717576, 519931935, 1039311858, 338448048, 508835682, 707615329, 678774723, 597556929, 857949545, 323020783, 770628291, 806047102, 269195986, 473708711, 458541632, 712249515, 966194735, 260042140, 586281272, 55358879, 628607385, 563020927, 1002749153, 55945993, 1050680782, 387457218, 83524415, 376839991, 1001507779, 650350105, 1068764650, 930051103, 70312366, 916433443, 635481169, 996326555, 1004832098, 543774171, 668566311, 262699302, 212303310, 1065479059, 321519344, 325318138, 1072974951, 676901070, 953205809, 654899448, 695079228, 738884463, 246339391, 264891720, 544242867, 99090325, 1031721096, 316485526, 490759210, 244021888, 1044771356, 845980410, 597147746, 872246283, 459626974, 238948208, 462145989, 725301215, 205634308, 507901979, 593297341, 901812056, 64888142, 202699863, 565107473, 166534641, 850606471, 728774262, 159183960, 226081439, 1053982588, 255623101, 862944118, 384277193, 450742649, 786363974, 587016990, 778024635, 40352094, 301409778, 514149691, 216829848, 715038627, 385161526, 211963700, 521887405, 872298848, 644249683, 608266274, 1071675674, 205989070, 763893534, 427873340, 1045983576, 122485353, 946252478, 969108291, 745750083, 771022469, 272590618, 966403676, 866694894, 404731833, 594023053, 461278402, 1027702662, 937792890, 91548211, 635467461, 910060709, 92712899, 62149068, 131288598, 521727413, 189255280, 80098341, 374277595, 913661565, 291595613, 140797999, 860957256, 1051978594, 515870660, 293859329, 393848232, 239693788, 69907, 947263919, 597685764, 834649963, 16078294, 642195878, 535240333, 33573878, 421092725, 1012893056, 64080678, 553452645, 243110442, 294818698, 946819172, 28485613, 912122078, 1000501368, 586771565, 820040691, 1021070105, 968378271, 570008555, 373839082, 39224245, 220122144, 492347276, 65053290, 618238208, 438951079, 272940472, 368690082, 553165271, 983869292, 738013967, 411154910, 102166724, 163094681, 115719814, 337395087, 196759281, 803533395, 907311780, 71269624, 1013241632, 457669033, 788177886, 461358950, 765601694, 958618803, 180169121, 775441965, 963500237, 850379901, 213476432, 668007558, 155849947, 285627933, 579274444, 514479393, 706223230, 1013623611, 851782130, 736455845, 890575317, 4688745, 861112381, 243197772, 1073585456, 834696560, 659196976, 253594068, 412482347, 1072028228, 60497811, 373015559, 982852266, 881464741, 649730581, 931198700, 806073761, 860299570, 144849247, 801914490, 229308220, 319527719, 112657413, 779296795, 468396668, 658177983, 1052194911, 409801500, 440887365, 64784294, 922784089, 82000887, 851293850, 443710141, 615096098, 1047019038, 1001427485, 356004948, 87833000, 602884871, 697295438, 369215099, 1059939898, 425297642, 985401329, 100269683, 900967394, 302088110, 434218656, 917798066, 600368446, 627448146, 699003999, 952794393, 802071372, 1034610584, 522333171, 1022573758, 221455538, 226854860, 582781259, 956625331, 409332835, 801918424, 602114398, 663662255, 664122908, 119109171, 9038737, 495549623, 464348255, 976050347, 926398266, 868522279, 897398735, 921115838, 689342765, 487263643, 589656793, 30188177, 673826499, 1000500552, 759413579, 581386813, 673937415, 649379012, 941158583, 298613786, 67182300, 136153014, 682666443, 251074775, 1011744256, 286179510, 848923239, 694010814, 202505229, 279701709, 952752020, 1011012898, 539327382, 190116095, 1062410078, 850205573, 795812590, 1072529072, 76082574, 792824784, 577034118, 170453779, 633277470, 880362925, 479475552, 817940842, 933469787, 179477944, 879153201, 902411280, 887979703, 789420504, 467601944, 355915031, 467619409, 703523306, 885578410, 387685723, 983638850, 857891947, 295637886, 589970094, 704007742, 538775091, 947667335, 889906133, 867755760, 798534047, 916302479, 214672629, 859245450, 284284934, 761788064, 55826706, 566690210, 156670059, 578241654, 766762114, 609242419, 27389499, 27278028, 1032575963, 884772865, 906891042, 30968389, 717318090, 188043203, 291318451, 893634128, 857977530, 651877254, 415453455, 108530908, 548302021, 246469547, 12485477, 269661901, 513936296, 435262359, 594795520, 832593834, 233209088, 573900886, 919897424, 1061697915, 594253138, 347393137, 216591012, 738003768, 747164889, 1069399058, 1010219736, 971778617, 1055527970, 420554534, 533703218, 180442403, 857117833, 663128148, 235985958, 805911183, 805811860, 330208919, 47719276, 19541204, 594994139, 78251995, 440664887, 580077121, 630519588, 380227288, 62077993, 263437582, 42499648, 244479317, 706331033, 69847897, 506741005, 729474234, 23753289, 751887456, 212732284, 119172295, 919867875, 590487327, 1057408, 6927967, 783028186, 245818305, 355586655, 233263336, 651092887, 320026798, 92259588, 162789500, 579166415, 918781606, 132845302, 894782773, 846716736, 96674822, 291635518, 801276661, 1005652853, 186332264, 464759449, 324918254, 96845613, 379360135, 815417077, 292754465, 277794768, 167065726, 155358060, 150866529, 14754754, 275936041, 247889436, 927135416, 184240983, 1058097370, 114177707, 494434361, 668470125, 877992934, 190993918, 118778249, 303727095, 830458701, 462073176, 958106968, 37076537, 416149574, 848888033, 77346094, 132257872, 790070074, 313549189, 1028474380, 119866864, 332470324, 159551572, 650750952, 307649761, 501325596, 535884763, 180037296, 632578477, 397629957, 410261557, 831865505, 891939985, 116983129, 191805826, 144910283, 1021861832, 279384005, 258997549, 619713564, 689501642, 200274465, 141748167, 952856656, 53431410, 1036207100, 308162574, 468829885, 534013007, 216291699, 1021170297, 890638422, 70844270, 689306629, 492176275, 841632136, 15084638, 117217647, 176715629, 21132590, 78962505, 73304001, 172549504, 372234308, 995182998, 164738659, 851730015, 709116175, 829229092, 544590918, 312658677, 1015700820, 517343113, 860973530, 477988643, 885386011, 904535444, 971679170, 845408085, 558766145, 453720181, 719751782, 191220302, 1054733670, 680447064, 878950912, 24007137, 172932208, 311180193, 7173331, 310265708, 95505601, 178604931, 464855618, 382682317, 878902815, 796996771, 310878420, 1060978112, 144746569, 647325179, 319105106, 1001177967, 655792380, 613804103, 494053910, 261165653, 945661564, 552064192, 79379849, 4082780, 909868529, 809944382, 851362540, 878639130, 853531388, 974180796, 786520899, 272800600, 199338901, 278676133, 423112628, 118400405, 552714846, 651821678, 986809893, 408319374, 422051353, 59460419, 723595815, 322581923, 538687270, 250212992, 545840518, 690106684, 635573130, 890995508, 613285835, 705298163, 527146071, 747494614, 188863009, 267598996, 925590566, 54425469, 252274775, 771975913, 601569770, 883666508, 1036630255, 450915393, 672205280, 539864302, 1063380692, 399956401, 198954132, 378872166, 904658182, 999927058, 917169560, 521137245, 131167002, 970683802, 611983867, 927319819, 152728355, 591315357, 451041357, 962897063, 671069148, 547972794, 692286694, 514670439, 871862361, 576279082, 225303470, 129882628, 295829793, 872489112, 720235153, 68903241, 984031839, 998714986, 1015400395, 813817099, 1028056973, 185376830, 655553520, 162979176, 402085037, 281669619, 141751396, 331962872, 77784792, 61789934, 963031108, 7440592, 809138374, 116681570, 969286819, 37947808, 565692190, 191875611, 979182420, 725695107, 108369903, 850823454, 1030194235, 98250782, 276451121, 593126232, 852775962, 352979791, 580253328, 107572215, 698840888, 278888620, 824326580, 1058114630, 693406633, 218013048, 542798568, 367934880, 299964437, 562045425, 282413798, 444524607, 968759940, 22353354, 939855614, 291293989, 1072782846, 820309499, 547211884, 405943254, 71024776, 749715524, 902999891, 991431915, 356367967, 737524050, 78979037, 367881287, 777364889, 354144329, 287938369, 607871266, 754173947, 469820534, 995140781, 319987310, 579189621, 812677988, 935382138, 1040150471, 218403697, 518621213, 156581200, 102806909, 188933650, 659021837, 894968654, 860791338, 201790999, 902993073, 558483486, 809948926, 638936162, 178962600, 89233226, 812016439, 370714057, 322932597, 183685442, 838777175, 53160280, 1067091963, 510429070, 195802018, 481694600, 20074373, 1065844917, 886458187, 501333953, 951429026, 136269007, 36746442, 701735787, 523372152, 478316540, 795939588, 511074076, 747564061, 49426966, 428105706, 494963012, 544152915, 548194888, 470142956, 704073163, 598201788, 573472479, 68458749, 920846030, 44124168, 730454614, 868877345, 983930995, 295078025, 920623717, 932963067, 917537264, 828677771, 854858927, 27440229, 92115543, 1049273168, 828581439, 62406903, 274427993, 440791758, 284906917, 554027070, 519733597, 423563005, 200798064, 635543710, 34789939, 60666658, 963651820, 994970588, 1046184513, 805260429, 80009733, 831701287, 677230930, 721492357, 822139538, 732474622, 90455958, 724963985, 753424390, 208739827, 196147750, 828604793, 655834168, 814880380, 819232100, 32482825, 930531743, 772703413, 147416442, 149550282, 458708883, 638296512, 821579900, 928423038, 596314427, 816411670, 616570671, 815798886, 392061938, 522818951, 276158038, 705293218, 275100819, 1038139695, 750073459, 730334999, 5364706, 750298742, 106844171, 224660715, 660169938, 655422142, 257239832, 149329545, 966696454, 59082082, 900324808, 368634791, 824286716, 1013896001, 891796931, 333275813, 760892463, 662454925, 590969406, 86104911, 684609833, 449124750, 452400506, 305439154, 111991530, 88281146, 882153439, 81720854, 106374558, 176354747, 239595329, 303440970, 319736517, 1031889939, 374005886, 1047953279, 176450584, 1011315932, 187933275, 506646048, 85632058, 821048974, 367743530, 1064577513, 1009291683, 283779874, 246978055, 175088003, 489359789, 1043200144, 826124266, 551703507, 297527205, 136233913, 1034577962, 824337232, 46344396, 515003245, 354548728, 428627699, 1010026930, 315433382, 93115669, 125160020, 664911323, 114049365, 198911140, 696996431, 287602816, 448320596, 761985999, 1052243824, 637227833, 262201734, 341351312, 16760676, 436414528, 442025266, 875038696, 407083050, 340382903, 808577592, 236393021, 711235180, 1061090126, 421841215, 216804763, 853568796, 202407269, 749800162, 935375381, 120689788, 1041109241, 1056680277, 93061461, 677998751, 253684345, 932149470, 339436648, 222054439, 906341056, 572740281, 866560765, 1008683195, 235520055, 124093964, 718983602, 12989508, 223089670, 743549404, 585404124, 494997307, 518325763, 217746395, 510335402, 2929512, 432139751, 760153343, 47309286, 791133946, 926225498, 935540632, 345306401, 70903458, 598089735, 791677846, 90465572, 765707282, 38000623, 374211809, 18141135, 606087845, 530374574, 179643579, 793168051, 795175691, 947478607, 516575680, 882148090, 821472490, 681555259, 1016879972, 629058621, 390790444, 166389199, 600110992, 527146820, 721132095, 441081120, 1038356886, 1062151485, 1053668128, 1051687935, 202430176, 259111883, 124334037, 544096857, 71740219, 947336824, 847805949, 674428662, 883020748, 648026165, 171252190, 754736134, 719927200, 997602414, 651138469, 989290363, 178293415, 876211755, 301417553, 466512617, 503922019, 800041980, 694703664, 348788830, 943778976, 1037365306, 59134177, 396938906, 129040288, 621297009, 106815544, 187663233, 612630559, 235012660, 148811553, 227784949, 907845059, 789542305, 269351370, 535378785, 159378606, 160184961, 121503002, 1054342711, 405255047, 102516637, 286240563, 626326384, 652924236, 966736699, 889182677, 647238624, 579921407, 66837996, 566571856, 845892928, 835108425, 363668474, 257149748, 1062452088, 1029015349, 88626512, 287577984, 63668456, 469560585, 145711298, 806509742, 215018924, 117043570, 92197712, 46778662, 194068166, 815184578, 528180045, 854471733, 825252790, 816058292, 553083318, 1066761171, 221067130, 654287166, 52576542, 915585132, 852409971, 275267884, 434926170, 79646262, 135069231, 301792932, 74142443, 384819060, 338032833, 406782212, 570815081, 109135856, 270178698, 815925553, 711840447, 654729773, 835621138, 567083639, 664380899, 362769777, 246363510, 1027025172, 294636879, 494046626, 1061388406, 497021340, 7936761, 495854260, 214049094, 95831752, 654884624, 62038880, 125752449, 818740874, 740834129, 903289314, 676054270, 737810187, 839597023, 157483674, 179282553, 301263358, 21692321, 797950174, 168294504, 368607309, 111591444, 997377739, 221033202, 738353941, 473197853, 431782879, 362691208, 150925248, 153918192, 51007528, 592520581, 367215570, 863177483, 23853876, 7808453, 828296042, 893356958, 159659885, 861866070, 276307850, 82345420, 725149696, 979906284, 454143442, 842428773, 327627858, 511888633, 748190114, 247498196, 684477491, 1022208791, 295428320, 635973102, 272575034, 371662050, 841303133, 603886250, 492781689, 698877781, 493619539, 311888776, 561633765, 329227232, 782972606, 307420675, 755626052, 613370526, 264769685, 256717358, 67881180, 674164915, 220500880, 553877374, 653762468, 31956842, 639673073, 311310473, 715545872, 427160606, 461848176, 831218655, 1041821584, 45204151, 877139719, 312266716, 420902799, 965404282, 59091189, 617948009, 389550126, 7987474, 748164270, 794452505, 883545146, 568283696, 612004156, 329710586, 127533381, 651016089, 590257072, 250280401, 425375072, 542310718, 729140057, 1062509776, 939985411, 985427565, 22191186, 747068815, 582376553, 290835001, 527287514, 562636534, 101281634, 900936865, 634726271, 1022799243, 284987504, 956949562, 708430886, 416448446, 957266371, 110030000, 283354480, 1028609806, 28688904, 375360802, 356407731, 222523304, 329113355, 288104971, 465880638, 670238900, 281882979, 181578322, 238744133, 405364415, 54288946, 1072043044, 644140406, 111055962, 396366078, 13412261, 25368920, 103243624, 783989428, 1044823672, 909806323, 619449123, 750235093, 60475312, 637411983, 311472572, 631028131, 736919271, 894410878, 495707462, 512526846, 129186431, 848919057, 662228235, 190072536, 586206202, 175375177, 810094382, 611224730, 1033272184, 714914141, 790413327, 570776453, 1060232988, 127740800, 297955788, 606649277, 39281444, 432468653, 202217786, 664511406, 560714257, 697745660, 524215299, 1023362767, 986888293, 760572579, 65490665, 976727742, 930571352, 725300559, 826539906, 176220604, 558389334, 45051861, 38364282, 173908212, 144796939, 568207595, 934519240, 794790961, 421837542, 94687703, 334187239, 420054259, 761063373, 332411998, 795847085, 284670558, 719703364, 152397368, 906995304, 455661347, 78554242, 641951970, 276221019, 703599583, 1093738, 839186477, 20712727, 820914546, 403849619, 583158643, 307182671, 1017557277, 365146325, 984677527, 135813295, 384291094, 259467679, 510944066, 684934079, 743791673, 57684894, 137512561, 1037368206, 377632623, 933602324, 448245743, 1039294051, 477949287, 340872830, 518112928, 410274231, 1045854748, 538952840, 70849687, 162006738, 57639869, 327680702, 761251433, 710780811, 710611255, 288861900, 150282972, 1055427194, 307573108, 137372597, 120466722, 306755464, 99219508, 954677619, 303468091, 381541919, 352635407, 861182916, 930997543, 48430996, 1042710315, 72399076, 588545126, 196978397, 46934375, 294409251, 914343170, 767480145, 990443643, 210163789, 1065691944, 309154742, 656234411, 603031556, 352532653, 228245423, 847170824, 726375488, 261146850, 380298323, 896676189, 663153171, 218566502, 663144021, 182375982, 1041133352, 971092524, 273538672, 163615796, 358558286, 164411376, 25448956, 125498034, 967472441, 1048384492, 424295418, 969043852, 705817659, 305595523, 999076494, 884724263, 264255881, 526218885, 545833087, 956172626, 531304266, 862483026, 154164289, 499695063, 947112053, 629216314, 411947800, 920112406, 65796086, 429685479, 29034645, 697902802, 963713736, 744043143, 195905735, 454748866, 897125004, 165112736, 992728134, 890475812, 371023130, 656330041, 429018246, 726953695, 278709189, 525712508, 127194709, 631676203, 250953853, 212296707, 963583050, 635521544, 468715696, 757088716, 558022467, 726329668, 292326498, 67357506, 875241306, 66501718, 49068540, 20237987, 164334769, 996586700, 10279504, 347630283, 398731002, 19451342, 782514297, 657957553, 980330944, 928398967, 1050233311, 1066056346, 264250901, 810292261, 253237232, 1030972894, 208338083, 276354766, 155427978, 410010520, 260434963, 115145721, 864573644, 864416257, 559074025, 1000715146, 814043953, 528950046, 953336687, 1007564836, 46274860, 626141646, 505027727, 76546774, 774648306, 363893236, 593039058, 786391281, 562812739, 9831501, 297699012, 684138991, 391011256, 427881890, 1006583647, 848613859, 116889719, 203914950, 260583450, 442130687, 475808370, 657227532, 334419313, 365400904, 245579078, 812562175, 270770925, 752458005, 73854901, 968890762, 918838043, 519708559, 756516403, 306157146, 776675383, 8327164, 923664422, 670655478, 674841538, 538568507, 34131616, 257963938, 545254184, 565287295, 701133640, 170889316, 748737849, 737660989, 630988430, 360696616, 112863544, 961912560, 637777536, 286113831, 943487518, 895853272, 1058721097, 252718824, 153537330, 971223422, 88553894, 1018090514, 841423740, 560719784, 631680733, 255180507, 308114486, 617119292, 32224359, 1072844877, 1071801023, 775105200, 140655830, 805499139, 895810074, 935150720, 594394188, 1073360758, 464606717, 1039444268, 554499385, 112031267, 48638243, 987651750, 1001221747, 481591523, 205465310, 298289067, 312263421, 853587929, 1065924215, 282559466, 366118832, 119162893, 297217338, 324866067, 801675331, 196394705, 133916080, 932232934, 498428311, 727823146, 285669117, 877506043, 56295701, 648294435, 991527280, 200334398, 849295913, 505928924, 505002975, 400898117, 567009810, 499575964, 234537464, 616985380, 203598895, 903446854, 410501208, 785882068, 724678616, 761236487, 546729454, 13422052, 1027796252, 165794966, 560023912, 677115688, 419608191, 1008166381, 161423886, 864711677, 718274621, 54314128, 599129080, 180147731, 271831657, 489504310, 34552159, 608667645, 18487938, 492302264, 256807235, 13478023, 791790960, 27075347, 838714916, 280641891, 740559360, 208134524, 521048141, 565465312, 298230036, 580868716, 285332973, 842470314, 64238491, 741146642, 841049415, 451252964, 323685468, 250189981, 396947349, 41106667, 416699830, 794830698, 702749796, 657072872, 52647286, 227968273, 568609161, 307805145, 984583510, 501621191, 50559171, 649553405, 465439502, 210652058, 857964877, 262879692, 784001125, 1064238529, 18599502, 652362908, 327568145, 955272387, 767534018, 301211558, 601396158, 833573899, 604461797, 937225948, 1053193066, 287043753, 514078672, 347224939, 183981144, 1025696074, 795624116, 386588188, 65671373, 898992870, 937831990, 538870700, 687772627, 909916523, 681154686, 540987887, 394722920, 302381368, 266474572, 269286489, 891394581, 992876022, 82106149, 225413561, 411549997, 621106040, 350729698, 726522185, 889893777, 743942735, 265502041, 590792574, 238093928, 882077943, 49546961, 607720108, 978620859, 526575710, 729288789, 989031862, 162944587, 259552960, 820719820, 842350561, 1044579410, 891368590, 409664964, 745244346, 149183271, 97757165, 436476439, 765427450, 92273556, 880065616, 1003038499, 966169199, 300038544, 1030502148, 685296715, 623530956, 371136327, 675826605, 95085560, 738060722, 349561115, 648651481, 992520477, 989072863, 486610985, 348563989, 825914330, 458899128, 159826432, 1035288136, 990851584, 909836712, 207458766, 997516735, 625364289, 522462112, 1022677502, 639262884, 515520903, 29152619, 700289555, 260118610, 84977742, 244598228, 723454987, 185916374, 851388925, 189902566, 869211350, 786031039, 190888803, 228991701, 123924548, 654981837, 590589872, 33342662, 468798933, 124037307, 388142439, 957441751, 15388295, 456122517, 808050962, 1064981433, 853776112, 1012364977, 92969951, 663748814, 149808022, 978350737, 715430924, 451445830, 161195708, 325269970, 1030145204, 972516523, 532521445, 259063789, 487549310, 854932148, 598313591, 1007276398, 942050645, 554651082, 109019473, 1030125650, 368485432, 892915390, 713649891, 272540158, 333814440, 632720471, 540847932, 754299207, 690869209, 498394725, 380756549, 134216645, 276799378, 545390377, 698182626, 871988567, 1010259879, 488740018, 13764366, 12002098, 409951659, 585394931, 278350875, 709021726, 411260832, 330938415, 205531285, 931794533, 8070445, 335417430, 603654174, 635549947, 40016615, 481030358, 600257647, 854835194, 1055835912, 276878738, 918686170, 515376115, 325546099, 531272258, 570417611, 800639657, 35897833, 747222520, 980808982, 470181463, 102298187, 668102228, 140169774, 196690195, 300450890, 182027036, 441924642, 989050055, 1294337, 127185309, 794914326, 300132806, 904001952, 270720069, 323170813, 165642679, 513987800, 1042088726, 171067632, 460174625, 440356837, 16981892, 938516827, 818162233, 845238745, 894209460, 633652756, 624456429, 913097958, 1064053127, 802731085, 572627234, 645438586, 301140930, 200163789, 134914689, 693779068, 404811413, 1065817553, 324202311, 455104451, 35173353, 327003068, 106484214, 848903272, 616299716, 991049228, 705366906, 782271169, 157551427, 324499682, 653855244, 675676070, 929591749, 94831960, 204741381, 730757684, 823253966, 9973910, 274051271, 670785451, 1006779218, 81417804, 1004711384, 486712560, 48397902, 82678999, 939720068, 502849884, 1000098405, 533374595, 112297702, 271933301, 569494175, 650249407, 970449801, 868466390, 457946559, 637671407, 775414953, 9674838, 379302377, 588494549, 428487913, 968614254, 184389738, 764537916, 1064218566, 830392292, 759204571, 899626274, 727583263, 402830779, 341447190, 386010753, 416725322, 890333062, 301376506, 786302935, 264185004, 599318045, 185962989, 325500188, 576410587, 1035583609, 86848837, 433536693, 22013669, 1051199016, 222324729, 664041403, 753094709, 900101114, 835451786, 651557772, 124085736, 835216256, 237680822, 545507609, 474955370, 779387960, 378870238, 893568678, 59366424, 597878530, 128248580, 623742544, 161016050, 297538281, 561599935, 85097424, 258242960, 162042302, 323760830, 770333613, 411431738, 968967071, 530087151, 57866008, 637870311, 949531984, 21300549, 368998383, 608928050, 851039550, 704982780, 1040208921, 900374911, 81354066, 742722609, 706960348, 790321780, 974012316, 417578912, 817400813, 230434267, 527841641, 267099585, 519984680, 792541622, 624889846, 645777980, 9986410, 364130493, 843300580, 56305610, 186432954, 847558438, 133981688, 443754736, 397514797, 153153931, 261881666, 534741133, 140904980, 66097992, 708968268, 197054951, 488911235, 1048249873, 139185614, 105236886, 335581678, 205361297, 110056222, 692143801, 502999073, 437518214, 247616681, 79253791, 386952161, 171283212, 761232637, 573133727, 337695125, 670256558, 167266975, 327201291, 695801602, 646563377, 892341635, 410798758, 148867337, 36993123, 211229765, 491713671, 1011457340, 994903605, 1046093487, 99070019, 207550094, 137525550, 890749997, 404061467, 1054553037, 79188007, 302697313, 138088922, 477084207, 964032224, 658748790, 1066963553, 451215308, 749272390, 385449072, 81641027, 213297450, 885161171, 490796615, 814264090, 554935026, 911915465, 995898401, 724055135, 356012426, 420184227, 1008688107, 302732733, 201967245, 965609835, 301176526, 993088625, 332446121, 938467816, 663971510, 446626362, 127051615, 469687116, 441195949, 555206280, 811410328, 575181940, 526720260, 125095660, 221434611, 1025099733, 657099649, 169514195, 620148246, 562907237, 523273373, 827464569, 319047597, 890507243, 683709468, 821176021, 773277654, 705639531, 745065530, 753352230, 1001632307, 703435808, 775142432, 871685748, 994507088, 79159090, 76552917, 717509533, 232149067, 712445145, 422686505, 924065355, 553798677, 667410314, 170532698, 923293348, 205232778, 354770303, 364915603, 181380481, 146907372, 93410136, 1071006354, 412864063, 407223227, 403124673, 118438408, 370330317, 780740478, 1017219674, 785901603, 934309297, 822303928, 162216551, 510549491, 592718891, 1062029813, 892131011, 76481129, 186676960, 231110705, 13296855, 107419911, 598060010, 807280316, 770886851, 597440076, 390538813, 947131327, 1071780002, 22180429, 472555608, 205538635, 108531043, 354605949, 720771337, 231866483, 10547876, 697452625, 333148499, 278399228, 843547976, 659090042, 275820134, 750534595, 960840439, 882829165, 337173139, 311268528, 857893975, 540983403, 56925657, 802167157, 234126900, 695802031, 579723030, 978834810, 436444298, 843674611, 815916914, 725115045, 928532098, 839643481, 97265185, 303906346, 79122143, 653519523, 52688287, 868979067, 737383804, 493359511, 983061125, 930545464, 424327916, 151138454, 359111119, 569084862, 691869314, 134164155, 325275474, 364817203, 235459025, 228507790, 432967869, 68973515, 995791586, 889214161, 1033646635, 874159169, 668235340, 608827869, 954133536, 1035866799, 296857459, 287532544, 532848082, 1030332916, 55345281, 435011606, 559445220, 815329902, 985808225, 328756996, 255919506, 240267683, 525165705, 726956152, 753991452, 1010671709, 841831707, 592111590, 866049101, 605253449, 85325839, 25682678, 17437206, 231708910, 16218285, 9178867, 158091854, 222827435, 120139260, 151179298, 331202502, 1063199420, 163966695, 989533196, 406499030, 816564470, 151567457, 819043632, 436359599, 263420390, 461968327, 929581883, 429084730, 264333354, 263668676, 865565531, 603600861, 332263430, 844494208, 57548236, 619697412, 294984993, 299554798, 662406796, 557100745, 81713213, 864444076, 382468825, 860679743, 882830208, 294126809, 724383456, 786033000, 247698036, 293579656, 982713827, 1021974085, 288618634, 487298858, 304146567, 637339392, 908855088, 960867517, 671060342, 714313355, 793466176, 235127077, 54134572, 104892504, 721669808, 808387074, 375682353, 415356533, 800178022, 995602206, 927863149, 174099605, 684488527, 913104666, 794950285, 746898346, 732919658, 1051846380, 412074367, 569217987, 1013273538, 111818520, 544499818, 182758777, 447105374, 1036149300, 751707227, 69254318, 696222084, 624629370, 152517685, 222094239, 493455892, 331280748, 277866825, 838292618, 720274116, 944149797, 933429490, 278798657, 377254478, 848392839, 419385463, 774928385, 458566490, 732110703, 189909171, 866308024, 496395856, 825376351, 611945320, 830631180, 73899890, 795888766, 431244384, 680534871, 1069397334, 940516572, 55122998, 876531257, 662458699, 990445427, 595457668, 773620800, 1019602649, 1057957154, 1050643786, 308024137, 52936034, 77028660, 833800470, 364784986, 318443889, 183797152, 458769372, 120764703, 468702658, 490971561, 511698286, 605032679, 366111175, 478598039, 650041021, 930530674, 419058361, 772436129, 307069931, 616618814, 477295197, 298593778, 526954775, 902044826, 1003016689, 650051790, 441827074, 791218872, 745987208, 279449796, 234656178, 1017873473, 411076058, 768823079, 143767254, 567165625, 849398599, 234872071, 958574323, 255271733, 717806300, 912048718, 561912419, 229318300, 11579578, 717822170, 923825455, 5937061, 847176653, 495703879, 124897569, 896506461, 790912057, 463288008, 499111558, 1029478521, 161733073, 16455800, 77849476, 380775749, 235873706, 717993782, 889258310, 20053896, 172497339, 71178734, 262295001, 1037869044, 753458335, 712788540, 718036084, 146187996, 815641720, 525649288, 485123755, 348333752, 968418005, 358563441, 626728068, 254468091, 83561895, 700903503, 260581228, 623946659, 284642128, 347860503, 806507989, 561568318, 1018639749, 1057874225, 437632769, 854478469, 884126155, 1037207629, 214655967, 555118788, 90926842, 955208775, 20094864, 640400069, 334629125, 820471654, 378810410, 907296067, 447635395, 730534974, 474689408, 597502272, 72471456, 71613109, 594839442, 1009985545, 850293778, 929470791, 633504864, 567391877, 968782312, 168420802, 875394071, 593172506, 95080725, 667274623, 346348638, 250122621, 511825027, 1018523500, 572058135, 810334480, 88907219, 17211100, 216516614, 182778928, 926654183, 518763144, 485362967, 459428180, 261098560, 764401434, 576565344, 77181489, 339040899, 433554853, 406245175, 375487950, 670255734, 882188143, 78429741, 197999782, 872581677, 883913730, 379531623, 436408234, 275175642, 833844275, 502933710, 382314952, 316360595, 229435363, 352078703, 24846582, 828809392, 439868074, 491121504, 212921649, 77358125, 50957653, 76139202, 412273549, 321794595, 750127428, 542794995, 278564016, 458797664, 524882078, 353489861, 843609915, 744253315, 5516059, 528998722, 283061892, 385248020, 877715283, 45505930, 384398303, 100063167, 201244479, 794509855, 834746587, 378514492, 625238602, 779648413, 472854637, 351142364, 798177307, 699539377, 589778674, 597318523, 463090342, 984789880, 388358193, 51979226, 725111306, 42500073, 735046036, 167425992, 901357100, 368522772, 554978667, 659770225, 1015736154, 989024703, 302759757, 699978996, 470147806, 404896423, 244210986, 90092397, 919686813, 890089091, 291217851, 249743226, 383625858, 324799115, 464654120, 498818003, 175974653, 989501764, 1006744079, 748041294, 32373304, 991360431, 593222170, 618528276, 585556941, 400931433, 567657976, 56064226, 411081380, 1060069226, 999150879, 378158602, 807553018, 531078641, 730840847, 1066798536, 539731798, 125379589, 322087078, 776551015, 706140237, 817922517, 171900648, 587469617, 418108127, 465547870, 881454017, 145680324, 1012642850, 56900961, 316015890, 339453524, 755815284, 495677323, 44053022, 379205038, 712950278, 145989562, 638576161, 651497363, 750782220, 256916865, 747634745, 177620948, 456064439, 882988312, 753435435, 306326581, 32945594, 317352951, 325056412, 627603183, 112185101, 1053195881, 743165930, 280711914, 756128386, 526523206, 331456968, 1055601194, 968950276, 442408679, 390535006, 380741040, 346644467, 253152936, 161624672, 805977094, 32369504, 4197288, 927892874, 63174754, 696633540, 369602249, 860738353, 160238397, 192042148, 762539312, 616911851, 516851785, 9354057, 435717299, 46185511, 756649121, 401311455, 51467248, 230882924, 231853206, 737637046, 899163546, 719075349, 504005949, 100487479, 1041338523, 934281024, 954760380, 326663650, 686838848, 687768607, 801038241, 880079536, 399843411, 96261839, 29817812, 589026829, 91736781, 350993230, 649492031, 607710335, 427581571, 860508880, 538924569, 380989195, 878779919, 212139822, 525752328, 842633642, 623274782, 863989949, 141805471, 272212867, 212299272, 968444043, 778507396, 794326754, 136127784, 190596771, 6955545, 343771899, 1024637754, 142539247, 572612474, 524367504, 824253514, 474711499, 130019501, 1011011972, 252569309, 874237603, 189480365, 935270267, 706431861, 673972142, 124397155, 185171779, 664305912, 782442592, 536279134, 465745062, 678730792, 680100843, 481787667, 190340045, 377580004, 508657065, 274527882, 166142538, 341027995, 105155789, 848943184, 798775371, 889283526, 154362172, 76071354, 346502421, 409230241, 135190976, 1023130358, 259206030, 837228193, 665326445, 269839004, 90571066, 872672555, 337051111, 332493491, 5094807, 598162430, 378630352, 140024846, 492367545, 585979259, 300067258, 782055083, 472751074, 73585349, 691225019, 954469899, 144309171, 871535159, 346314141, 169204097, 934832584, 926497700, 264016947, 569289547, 957766966, 245728483, 279242566, 633701438, 39142545, 226231735, 110704577, 293784868, 207580925, 802139628, 137422433, 996641891, 864884674, 844569260, 134319852, 745938187, 797144943, 406364362, 632311065, 952626095, 516387326, 510313508, 943418193, 524189977, 91945122, 588392071, 74546807, 124011007, 733648525, 1043282996, 333772442, 610534928, 874955363, 243817753, 722846390, 206396518, 868086769, 391585822, 497800026, 372293128, 825395488, 155781536, 224708086, 926883242, 306030698, 157628593, 549697230, 525570225, 705400538, 558552472, 311247083, 712020174, 820501641, 654789945, 781641095, 330105811, 432507546, 11922208, 346524574, 976948148, 238798644, 611333129, 599514650, 520570711, 536439467, 911809936, 666746086, 54960448, 264149877, 281922124, 1029912906, 88019454, 348739274, 765483889, 885610206, 348643291, 406973519, 462304535, 20391327, 1065904529, 937871345, 720794336, 677860923, 267340901, 796548470, 103017632, 145039771, 884264310, 107030722, 40966090, 98701965, 971134778, 950449094, 692949768, 779079457, 312887445, 943797603, 331160573, 406473161, 895175250, 698473059, 191497148, 135235135, 676051938, 944075995, 369498825, 497960920, 827909733, 365368402, 203297785, 1040089631, 210492793, 742281909, 752460878, 750981253, 66003789, 388875450, 54721715, 137688221, 131807744, 479330594, 250379811, 653737102, 255438772, 121425004, 754402264, 943097590, 212567864, 291425350, 883975864, 605591994, 314835025, 971664295, 1070795420, 1060090009, 221666210, 394111775, 264398821, 270653045, 940822005, 680534564, 317689451, 711913542, 838213662, 329463996, 679804977, 864063603, 160056043, 752497389, 204481888, 866566745, 12642606, 172158924, 439869053, 856912375, 944440236, 517181750, 194155937, 584118700, 439745338, 515474144, 15839713, 716697199, 859822391, 949246858, 40349692, 488016615, 284323195, 862416759, 293608131, 863567947, 576357729, 830384481, 497462428, 207050848, 417820310, 429331363, 262594364, 527110039, 183029927, 635745866, 336299373, 812943043, 222360639, 1008758412, 1026349497, 837672167, 9167493, 995445226, 808642123, 450697311, 577581126, 858915967, 279866403, 514624799, 982609030, 621908824, 964583275, 855056748, 200208557, 339909641, 618687836, 677255011, 318758257, 877118512, 737589632, 1052101864, 146645367, 7538533, 466041368, 1044602317, 1062528809, 408862182, 149138955, 874743722, 610075832, 504958918, 144634538, 657393019, 98458444, 178292979, 41980702, 466801468, 926007280, 288166331, 758528741, 420962098, 739903268, 541374539, 1001393263, 373462484, 264148664, 940768618, 954997512, 294168981, 105031191, 996979949, 451740261, 136742951, 3155774, 156162641, 249264481, 126753639, 138807683, 418350337, 412220108, 897912279, 499306724, 501941118, 941867136, 205880122, 725417834, 699924235, 612575401, 707362420, 304608, 483353091, 662739007, 817342012, 877688608, 704489751, 555671666, 730227509, 1073300767, 446293325, 633781325, 881769975, 6352609, 785963693, 354332660, 837416463, 864001983, 547715582, 355340363, 650837071, 715504252, 850926011, 896193357, 996757171, 237030386, 823672700, 305324438, 329349981, 128725692, 42662105, 110775533, 732276542, 976190706, 221194705, 687397915, 191094657, 343487324, 830084078, 773442261, 486142499, 873856501, 554566222, 952247808, 941238415, 316308945, 623955460, 709584140, 549557525, 630251819, 451739164, 557870290, 180466371, 516598203, 410342724, 601429212, 326560127, 715412932, 94153238, 1033071230, 642249117, 543851135, 206353123, 195314798, 923009566, 459793294, 658250302, 545873665, 718004172, 510870794, 656463059, 183607077, 1058945582, 917109106, 923328992, 916720318, 437557397, 219204976, 393783981, 518587307, 379546353, 629026662, 672107415, 774318501, 1031944709, 236698068, 119341178, 294020915, 601794699, 707092965, 362877214, 178009495, 297782810, 559712696, 805694127, 457573878, 461539725, 684340636, 823660001, 1013725147, 426839288, 520063626, 90500452, 816482451, 850996418, 5772188, 580656933, 892855429, 416472037, 73291419, 297933364, 92589479, 882684934, 1050488265, 393404995, 1027333225, 403114227, 85704944, 249288698, 837509743, 1822146, 419477022, 814771944, 400128033, 373607946, 538972022, 849873448, 386239393, 338599783, 487137350, 832696355, 464362580, 626671930, 420045821, 550054074, 505116180, 803262231, 298572612, 394720832, 180298695, 1022699695, 381517012, 39949769, 825417715, 409638316, 814528601, 218392912, 989050646, 633478739, 528603242, 548137597, 32299959, 437686763, 944728758, 493474615, 1023015278, 937916384, 702865103, 196617695, 544689607, 813608809, 764378791, 1044770312, 961028405, 103925315, 968989565, 248411991, 169862847, 166538851, 116262719, 390292892, 890319306, 958171922, 660084759, 506220425, 299798781, 650385422, 252603335, 440839042, 949679720, 723079011, 527675320, 76094198, 811841530, 822465017, 156488517, 656909637, 736063905, 1070717093, 722676380, 699214756, 398953841, 388895442, 279381650, 330865023, 755892792, 1073096584, 335971302, 599964698, 626821949, 878396500, 515783164, 978976079, 566127651, 370549820, 469329017, 145100642, 1030740356, 440265915, 758078469, 420924801, 752568729, 915835616, 8691732, 62782690, 649483034, 671471471, 692764470, 369489444, 907326704, 371311056, 340614591, 21026199, 349410038, 373817172, 220347851, 308419740, 709560600, 671609359, 590525433, 119615299, 619233816, 986381833, 834638461, 92877010, 606815714, 314675914, 487188080, 467517848, 407406925, 446771616, 142238785, 589533804, 238817523, 414497916, 830815532, 1005559926, 909114872, 973255097, 445526702, 319669424, 887917851, 551473558, 805511708, 255328227, 613949283, 498500336, 609152159, 380089407, 290681222, 705072054, 707302188, 658495966, 776565310, 26115158, 5583267, 640877969, 609559962, 496785783, 804278667, 215326593, 148302671, 740848674, 717086368, 509626950, 13421687, 1052456585, 635484346, 97757735, 826093536, 806544134, 825067931, 1001891167, 359958928, 132980677, 269921919, 986640312, 1040476118, 587414208, 805961751, 385836973, 726190048, 194765442, 524944762, 711971817, 915618722, 940691579, 241413561, 741359978, 501986479, 80800261, 657361605, 1033305655, 332025779, 771506912, 606705297, 1371953, 307212827, 914403617, 279312296, 6034666, 746066417, 386543895, 1037054967, 705401622, 622862064, 498291055, 526908534, 489794709, 660661205, 910382869, 996824861, 902351487, 626435942, 503501355, 607538594, 932203636, 179824828, 366543391, 853767650, 937746413, 148322199, 493397726, 994796143, 20246558, 227093153, 493829052, 139043331, 51207717, 392732172, 832560107, 422119469, 468575600, 431982155, 176604312, 184761108, 1022196729, 832455472, 585749527, 8349815, 119371503, 317428804, 387574714, 285074912, 371563066, 167929479, 858360072, 851797884, 749991878, 13706531, 505277158, 159217850, 377696440, 201074246, 671639315, 886431566, 605211049, 291786735, 792389826, 3504996, 376385536, 1043008047, 97375701, 110351834, 115653826, 396233310, 432823195, 1029723076, 830227811, 914819934, 960364600, 111984961, 151928007, 119052873, 752191551, 758238628, 919889414, 910465755, 312871251, 415309018, 744881866, 782065424, 239963483, 826379076, 470435695, 1036586528, 220961113, 639107234, 153271511, 416552038, 394365102, 558920915, 568284370, 896167445, 193874949, 457769910, 261911572, 795445080, 332668070, 570094404, 705524976, 618848617, 151667371, 701493485, 366450405, 417136820, 280389570, 248313298, 373525280, 447425863, 672627357, 311836343, 300342264, 889600739, 807629614, 9832990, 741848976, 335317029, 543540986, 1072646630, 485631404, 675160349, 935288494, 182742954, 679928877, 567753363, 7329756, 102421596, 283647075, 559194996, 618792772, 893201672, 939518972, 844109122, 972459957, 674735806, 916285258, 736588175, 91307187, 877552026, 916318289, 961384688, 895700205, 685068596, 929627262, 957575411, 229469385, 248517188, 105423638, 59729285, 962524070, 1031816469, 749427766, 276100807, 312845719, 1025601885, 765703274, 600539555, 701957105, 207716511, 254356983, 203035399, 563337241, 622145164, 170681485, 613480838, 826495553, 778309561, 573973074, 504138767, 920387343, 2320803, 950941054, 140418292, 915390448, 449309957, 261882071, 25689566, 656646885, 345545585, 442289748, 821790424, 738139030, 258138395, 1073213197, 589328131, 579986547, 402461567, 919996332, 371126177, 531602800, 226420708, 394623712, 938805855, 965389037, 1029461342, 523889215, 525034406, 520653398, 312481639, 1034681661, 591176968, 662247306, 853709298, 415441416, 1016731887, 37567413, 828017687, 1048605546, 981594299, 247226445, 375079114, 582775764, 1014351065, 345058515, 757754275, 868087216, 157566240, 512951302, 894038526, 723420173, 476584109, 581247898, 292565700, 369191187, 840559179, 1045794092, 150427295, 732980225, 375178663, 359411796, 270508854, 46840036, 107285873, 371309712, 662403136, 667767667, 2827868, 1054533519, 157738035, 63255925, 319589400, 501104285, 866998786, 104896363, 199988400, 1069578233, 247632754, 459109362, 815393466, 201233530, 24921422, 228150908, 663968142, 66834367, 408764652, 920730033, 215553631, 650079869, 476632652, 5625926, 529865945, 392842584, 568350016, 893167276, 946171474, 177860658, 794595122, 945421870, 938503133, 424554762, 16712053, 841454912, 557214930, 368343738, 821999396, 545060761, 345669511, 826814341, 272861371, 320847839, 761848382, 413102654, 381910811, 916206947, 664287465, 738919681, 952307959, 953942607, 524019194, 318234146, 1018800589, 315804813, 56925682, 59048025, 167446192, 468430738, 515975285, 5189352, 227387495, 905006685, 1018315120, 303384047, 194659381, 577514489, 680531831, 949262024, 558852495, 607419928, 653186763, 64421833, 682288105, 958290938, 408111682, 90294822, 659251947, 748629694, 518593752, 523461600, 887169910, 100170585, 989062055, 747289855, 639584746, 448395549, 72514303, 313937632, 661926845, 463789203, 528470043, 945461919, 998195339, 27415554, 987834501, 441190194, 898698610, 10815016, 943485784, 342716142, 263952197, 921006885, 207962523, 94551973, 560899473, 298234906, 799996677, 392551625, 163822669, 122723865, 858234992, 1035618356, 377698178, 105989105, 284056136, 1067510275, 61969063, 548087295, 341380308, 191825102, 204338703, 802332523, 310521368, 341480679, 468996466, 936406089, 347658963, 269885162, 682801181, 37369915, 853216556, 942273347, 543045257, 463892344, 306290148, 653952158, 1013487691, 913824073, 703558087, 354783882, 47567353, 972942940, 977574735, 1060877461, 851782152, 405595111, 444281906, 234376587, 392765313, 714443468, 1072167443, 974443708, 74004776, 993806088, 20187798, 676148703, 187498491, 508403819, 1012731595, 370682018, 417824659, 748135182, 126221103, 325482858, 121884420, 363807879, 518907979, 842779875, 794468018, 247195003, 12348829, 814958801, 1040045361, 38035909, 84631456, 644665104, 881776868, 595141855, 179781721, 482190041, 581292569, 231811503, 486084489, 875997377, 906575730, 375176826, 214354433, 288546532, 677104241, 10179113, 4771008, 31357949, 954640842, 934711188, 202447351, 362215513, 810210372, 756805871, 148405062, 866080324, 264189697, 1047678855, 648276604, 74251471, 816444820, 176238764, 640949516, 520498395, 968462949, 609174247, 639307740, 185287911, 643460882, 76180166, 840695982, 588918891, 925524934, 808142420, 969367952, 757109145, 492957686, 995887954, 732827456, 240895159, 380809183, 510286409, 434019426, 469266736, 921644514, 355775450, 873501321, 755378803, 35194776, 816338740, 289991501, 622731876, 449397071, 255287828, 435114916, 61017767, 174588157, 370086881, 611372090, 175170904, 72453129, 477735481, 623621249, 802628986, 1012645062, 63084806, 853362539, 248377742, 577238886, 556614817, 494022041, 104767518, 459495596, 312005688, 94592667, 832289135, 182674370, 1059072918, 518833684, 964705415, 799149840, 238745961, 841419516, 51104265, 254894801, 589517510, 778596993, 742166182, 462756643, 477235985, 1031579901, 649850196, 120015973, 63356868, 405321104, 638227985, 522805890, 159260791, 235098246, 697946194, 96536571, 852392272, 115744854, 647817526, 1058325753, 569880101, 772392973, 237255252, 307131777, 832358550, 413209960, 635876432, 358859360, 699510976, 91552177, 606831428, 132515356, 350806990, 858058064, 286987013, 1023856037, 551626545, 188666282, 608987911, 778296187, 749623827, 802249394, 866555537, 79431368, 352110930, 193061351, 948003259, 439027435, 902602159, 846033233, 848609085, 741839143, 429528672, 921089132, 376592592, 672526655, 385150225, 6652024, 389262585, 366010858, 748710837, 877942286, 712117257, 709913894, 202693324, 363933017, 631663611, 1068249200, 976503751, 164601975, 38676039, 750664844, 166160537, 378772688, 571485810, 662232241, 254801472, 677658027, 336811967, 877471976, 200323334, 762999416, 945495653, 38114384, 61924371, 764835993, 138761198, 771953648, 427717613, 1030377547, 88735111, 179309944, 1011354745, 158626753, 777656555, 274971926, 859361209, 135101583, 975175471, 973747603, 714639537, 814174944, 838494100, 824963790, 695873712, 540235884, 166596628, 875561262, 1023101140, 591841126, 355763217, 758997216, 80334567, 324867060, 363574364, 985611192, 22498876, 755016446, 492935019, 527946300, 320460997, 935785679, 758488455, 199701019, 77915813, 308455543, 236251175, 947560281, 708556440, 406803575, 454352738, 789472648, 292586956, 750116256, 898677387, 205949420, 526647521, 75933637, 608297472, 302793400, 328927558, 1068200280, 404239517, 696908165, 110847838, 268915722, 165705306, 540619955, 295923468, 618392977, 854667280, 642628432, 771360193, 966890582, 731270607, 517648024, 15296145, 432372171, 521934206, 796221848, 380515082, 683472883, 732235755, 698112187, 279527388, 285829558, 728464518, 588745894, 528598839, 171867936, 681933757, 308286639, 245149753, 837125541, 473986702, 1068167512, 605937776, 580998363, 46629150, 385096463, 678952510, 198009942, 840306876, 1008146803, 625885938, 421663090, 760998908, 526490704, 933677438, 1060931885, 183964220, 338868527, 709397631, 954298748, 362459080, 30540935, 291143664, 3603875, 691529662, 346887579, 561009639, 306570937, 562255471, 156646418, 734194987, 1023925644, 661361302, 333640104, 246917204, 840954609, 981240230, 928958642, 781083319, 753138466, 944224395, 251434258, 681273193, 788961872, 686729580, 865523251, 861158631, 566684746, 470439904, 850808050, 295363577, 399395359, 747969408, 355165683, 820384675, 975916165, 329931995, 158159758, 666677135, 693464135, 774014443, 108692441, 928544583, 68715746, 616304092, 520600183, 957325125, 220755660, 655040433, 940083578, 45366422, 521808687, 49913923, 178162405, 580511608, 376576035, 575673594, 749469733, 651206761, 234702980, 337189763, 345046599, 589898386, 127818101, 68069289, 180797035, 525249894, 808553252, 153972529, 768486752, 774871686, 374183179, 544730027, 693696426, 373816978, 845701583, 772846973, 562778801, 75568398, 470350806, 365334760, 914221276, 793664088, 130106098, 1005055752, 382541856, 717758, 347452070, 234817162, 797110410, 198360587, 150251629, 500649341, 277892687, 141130436, 85123839, 1065126865, 58484886, 713596669, 483518600, 714399654, 278656082, 375519632, 345572550, 460713279, 984918460, 862630062, 635157762, 542822007, 564542307, 757766694, 32877754, 907766041, 577314491, 673671448, 88240021, 952486897, 148459294, 134413295, 796678538, 850664513, 980314997, 705662612, 215099206, 449275360, 726024165, 884603299, 385516542, 454153759, 858770177, 282916534, 360683214, 455826007, 689185410, 402571150, 572386127, 926750119, 159644090, 79026140, 329814414, 21085286, 920504319, 368460208, 496073694, 452249418, 955253276, 570182635, 698285105, 183460127, 78754227, 788083809, 493420796, 800898568, 1050161065, 1046311496, 264513333, 5640287, 81719524, 297759540, 365393616, 393110940, 58879342, 606589010, 219830704, 176975562, 999862851, 398186006, 941751638, 819964638, 347022408, 740628489, 563625668, 291122646, 168989742, 376680178, 494918339, 626280033, 40456155, 811129242, 717783013, 551870974, 1009703935, 257291039, 215063069, 100178243, 170128444, 184714054, 69632900, 678598666, 240800719, 877271681, 132829274, 77631500, 302795292, 869202530, 630407353, 838734402, 930784759, 17484137, 320201267, 431991711, 189560096, 139273931, 4003892, 457421450, 629999890, 420342112, 602137874, 412249840, 547580519, 1005395337, 273250535, 73462221, 122555803, 609349807, 552618416, 363803482, 474100717, 409939131, 551932901, 322554753, 113427453, 528246165, 219909654, 1001623983, 255431545, 852240202, 206976458, 514697477, 42110469, 758514891, 289594219, 702452885, 181731948, 355195276, 210920637, 633063574, 549652295, 764343055, 613285423, 709598546, 603839723, 937477609, 682278239, 612212951, 352417204, 334787672, 169624117, 679741757, 575668800, 316209784, 1025215688, 805151304, 357206964, 731860153, 80749796, 654020565, 783633802, 106188775, 1054960049, 849308914, 238137414, 209299301, 4501838, 583660785, 452190980, 644485662, 641872127, 837603167, 378271891, 609625663, 568987666, 597924343, 48451826, 896985744, 269021319, 679367625, 1030118451, 710261587, 374989718, 249741049, 593663099, 875519131, 44658631, 1005225968, 736042206, 512119420, 122864209, 534372213, 226647560, 367058113, 931676839, 69848384, 937048398, 373363425, 641965447, 260712710, 387469087, 367983046, 506480874, 574957139, 776832219, 850422138, 571764175, 496658290, 912130355, 368254773, 93515237, 51432994, 116911455, 128834989, 90724145, 702980164, 707367717, 663044272, 564031626, 130400369, 46432174, 767562606, 374846415, 466883640, 640959249, 951965066, 837493178, 232556497, 343899349, 77254917, 331921900, 300250300, 117426606, 519604014, 713090756, 19673324, 6979383, 45696581, 800648671, 237533666, 309773518, 1005618023, 456812494, 971309806, 93968911, 647085131, 98151127, 666364110, 478254513, 100706564, 161031949, 1004460557, 89210076, 357390082, 886901595, 678824564, 175776411, 718356509, 1041830149, 816947743, 265206510, 481021485, 1065669283, 558004810, 821589808, 485831847, 1031651926, 749067096, 205102046, 683679789, 716472587, 868285393, 962823744, 271772753, 64614610, 566609013, 608001281, 1057528437, 52003707, 217233980, 828678961, 865992915, 299862607, 73114350, 421141202, 177338570, 695335113, 502443469, 187296000, 801586106, 428312977, 372793697, 633265554, 87420143, 706659148, 663038784, 407562085, 468695820, 1057801782, 837805014, 1008845457, 120906369, 94777486, 996354622, 79256886, 179932452, 745118903, 791400800, 90582695, 22461937, 400610702, 357449678, 755836762, 457601230, 432795574, 438656465, 835423366, 852556565, 381310500, 457501763, 1038611303, 208441096, 842419270, 1019827265, 834026838, 547017542, 462728055, 921025378, 1028491065, 441916298, 1071307886, 619006033, 173978621, 550809141, 425141251, 933621483, 888130464, 657124630, 387279696, 712163099, 792176382, 61275615, 352083218, 154282699, 849719208, 239551513, 974011339, 808420199, 428524597, 249864592, 673068955, 1070475017, 923140942, 844982694, 832573321, 878762081, 386360729, 26506475, 912107151, 705262609, 675280433, 296895738, 418696762, 933501746, 858988746, 1066402215, 1064225117, 788877724, 428103269, 62470353, 405581823, 249264659, 464332069, 597722360, 504043984, 1050584067, 928534956, 879553840, 716291512, 640368868, 205586197, 797766505, 194625147, 149044651, 255306878, 587602316, 365933668, 249826099, 493220446, 265201243, 532236178, 908957648, 473956534, 388315947, 956120223, 550098792, 65785385, 101514584, 729479344, 751739823, 148649058, 549617791, 517001958, 398202074, 142343432, 65053138, 76058291, 89755064, 905107170, 178704724, 824636830, 237240773, 656178152, 958268557, 272305390, 831282754, 1048459969, 383821201, 207487386, 207379926, 958074688, 866003530, 586576086, 519285787, 25685371, 331562233, 726306892, 621253333, 311183346, 369455427, 253385861, 722961966, 851550273, 860317553, 306260778, 741668527, 394891033, 301724058, 872298426, 842793815, 146229066, 794170643, 476957646, 536490606, 673265456, 563447828, 1010994478, 682896880, 1002152954, 52335499, 465681101, 268852333, 109581478, 20171145, 135101059, 658821000, 354928177, 401023714, 9760948, 149180494, 102493463, 17880853, 1047527727, 258204408, 847261330, 602653268, 126164259, 515274020, 66966974, 295757208, 688591580, 483213163, 355461567, 977186309, 1053419907, 472295782, 800967941, 165299676, 419427832, 401150314, 741985540, 766487537, 972050161, 935885178, 705216830, 503729896, 559643801, 356275089, 179985747, 684977820, 586350008, 895689407, 737061458, 685906916, 956549659, 242259824, 35192525, 220366192, 500483874, 1054308868, 289655052, 13570772, 159708425, 237441979, 644933511, 314976772, 987258683, 909774724, 97251667, 825683972, 670258090, 203280158, 376827184, 1016919425, 697758620, 235531138, 653197835, 244392742, 162119698, 1049747815, 1018769246, 741645845, 1034270983, 597179343, 273037183, 736581689, 636988622, 104196826, 230850315, 462551131, 17692653, 869122993, 972648992, 6466194, 618016658, 391179167, 920677599, 417592411, 847333365, 964765363, 151570146, 352048502, 976885547, 234418733, 450853424, 173893404, 677390589, 1038010758, 146653335, 899246623, 682958614, 494432590, 804268492, 377002175, 829386943, 461425603, 772477125, 173657227, 280080339, 1060713870, 739816567, 366768029, 475611047, 951488548, 404851966, 1010626233, 558473305, 909722082, 535514387, 337270237, 710108607, 1001104060, 13765044, 620279803, 699804889, 967511314, 682317756, 118286319, 701344470, 583188383, 464840785, 151245241, 598084874, 185332025, 146352415, 489537341, 545904178, 542363313, 917433777, 808910249, 229365564, 169750890, 563301646, 123157047, 726938152, 784590926, 1019823276, 431483075, 77808524, 1003377699, 44509343, 360949410, 726460826, 790403352, 199754733, 484344388, 290468467, 477756276, 796680610, 149665417, 155880982, 285069610, 271098216, 168792090, 472028968, 302936793, 766266902, 398354517, 516026437, 1053144643, 47827393, 1001186732, 541933388, 550578704, 694356952, 1071788009, 683958741, 749572859, 839555299, 978502462, 962641898, 361075298, 340893458, 887785456, 463435292, 991442442, 672803561, 246924317, 18063322, 233713088, 503434827, 624932448, 281547164, 281564979, 1060780520, 288112875, 238350704, 788116105, 303876227, 40076296, 384920533, 182900594, 951100279, 959551066, 635710393, 810848831, 732478155, 664917457, 917143266, 57442601, 521226323, 63745813, 439824710, 413100852, 421973153, 744676123, 643344659, 438298695, 758414293, 648687381, 57688008, 211773493, 834015560, 1020995819, 834767203, 530937319, 247625316, 582635245, 353274256, 982061204, 698337748, 174484377, 44169665, 232283540, 98956961, 378515065, 656382279, 756070530, 851958459, 375213613, 795947023, 933088075, 10963199, 419891698, 587260822, 1060502053, 140095426, 1019498450, 827881259, 212530959, 874082419, 698528146, 299066366, 806250776, 1043440762, 592084700, 604912747, 694909610, 558078513, 999575439, 788661489, 60994245, 1036383757, 240373489, 752787717, 645089343, 134182368, 349634841, 49849694, 973539164, 397936912, 544622190, 206423259, 448264993, 197307709, 109107602, 811106392, 258658932, 732883135, 161247010, 79560680, 537157063, 680161345, 16683844, 347585206, 151042084, 93007489, 724240439, 864917202, 147745684, 330927850, 727723197, 566512236, 460638870, 704820274, 784299438, 1061617728, 600721805, 420808884, 389486036, 975410656, 289910471, 303736937, 630712329, 444537304, 836223785, 517477261, 484277808, 613133139, 338992630, 688182482, 681933058, 948620262, 1037645699, 192834207, 502697744, 1022120235, 686458727, 582945491, 858996806, 2284003, 146875485, 9596089, 39075447, 1047936389, 409882640, 570078528, 442040619, 978353714, 328669102, 639371828, 183433692, 861483340, 1029422067, 557075930, 786167819, 290571934, 929568751, 288853016, 511737971, 500298243, 812328364, 711008110, 746068908, 574846024, 797286890, 757630969, 747704174, 452272089, 955044881, 599385144, 691726121, 578782909, 430271099, 460968873, 830729754, 540390613, 147145579, 559358130, 248857871, 618445965, 663620224, 1033502755, 705069457, 115759056, 579873072, 687744269, 770167095, 627511373, 911923192, 856635787, 247170029, 926838121, 140612996, 979105964, 1042951651, 569031714, 986178462, 520038338, 1036338234, 583544529, 258611419, 589932806, 989362768, 63870918, 770739986, 705368390, 399475217, 570604020, 590002634, 211024102, 134059090, 600015615, 596867495, 920650521, 227384724, 1022618081, 609242530, 910286676, 297143911, 312422563, 159117238, 229059430, 329935273, 1009934330, 332927899, 794787591, 534613620, 345519468, 177145061, 825904528, 1025783050, 579315001, 227034417, 695195023, 107992411, 721858413, 830601678, 1003340281, 83357980, 323374613, 473970887, 787896253, 285633405, 487871120, 590936501, 160741205, 254647013, 812774894, 145646595, 665305889, 418281828, 356966238, 381209179, 918934806, 501543588, 85705114, 822251885, 1009954395, 368683503, 799933536, 560495186, 77957971, 667117482, 409057258, 327933456, 179881619, 117853278, 751002312, 195719682, 796027307, 489542536, 931143124, 1001486711, 847885652, 703499966, 874685685, 15939056, 198125367, 467262615, 474059422, 313417017, 502951988, 975981245, 97110203, 957566165, 670074036, 885576986, 556804579, 861194923, 1043340102, 901383815, 234882984, 9120666, 595156719, 567080490, 1001353392, 783365337, 706460439, 131939714, 650067149, 395731101, 571157785, 652048647, 997605791, 352163913, 78290746, 821098874, 973785200, 935406898, 657080443, 119922901, 689565550, 569321835, 289335115, 995971658, 490860569, 45609259, 696028409, 931327832, 122789950, 1032802132, 975440428, 17279978, 111124728, 901292735, 216851744, 1022118171, 44843665, 731731517, 348871791, 330523476, 1017226196, 622615485, 197929165, 1023880036, 227726919, 764280515, 361733423, 2556819, 1015183638, 42639889, 327015970, 243620655, 513080519, 682376936, 866921664, 681286801, 471099552, 154950698, 889285077, 560417419, 663983002, 412521114, 65890014, 223127498, 633608892, 147817277, 665246988, 105978921, 219823950, 517688680, 1039664940, 729058463, 623350529, 469143360, 945442365, 736872994, 899308443, 487614587, 170596640, 807059161, 852553763, 1043360595, 19082203, 1012435190, 418484848, 957755891, 891787439, 429499069, 842176022, 648726631, 261665365, 919725887, 1021298789, 825771549, 1023872836, 512362528, 149955103, 699561366, 847342884, 934089985, 771234857, 284430902, 316975219, 642409525, 276375989, 630707384, 20213541, 714040397, 375129258, 534152115, 174642579, 685247596, 337300172, 81242199, 55339359, 822810129, 69395913, 59306296, 993701527, 522816966, 938203527, 70736886, 333578009, 564451937, 430039915, 976567697, 141340251, 367364502, 423721472, 330611267, 585233463, 739435869, 816865304, 285660528, 1004345728, 366098038, 2477516, 379215078, 643312670, 1059177343, 667939002, 680205159, 440078351, 534677038, 913994446, 125731496, 398045281, 514027442, 1039417417, 256890613, 592330817, 104439498, 257191262, 265932871, 607734044, 355293064, 689041781, 872724211, 488327948, 1042370799, 4315341, 278160889, 383085864, 179633224, 278999421, 216463634, 616712625, 534902847, 745247025, 402818333, 530402835, 891855381, 925903021, 657302138, 149134822, 566929639, 654675419, 613873945, 379077884, 162744705, 1007975571, 975595049, 103935553, 364153204, 270926707, 66287411, 543573939, 709755025, 41179642, 246482892, 949463334, 372187842, 589661140, 432443464, 741883602, 295788678, 458851941, 32297596, 273319802, 771438407, 178351091, 333425964, 331977283, 864105775, 32222354, 421068177, 1018650746, 65948142, 360466780, 239839415, 864949843, 521798106, 659566029, 534378139, 625928047, 1016570099, 263755960, 128826238, 931693159, 909956272, 314610948, 994609559, 907127691, 267832144, 545589332, 286689853, 206684309, 377052200, 127489192, 740824295, 982903488, 651546866, 986041074, 849694231, 932251376, 200918137, 293630592, 183863267, 500251449, 487368520, 826030184, 606931386, 209950833, 184845549, 374908607, 67603248, 663605958, 902945403, 836700699, 918589445, 517385418, 185448383, 678612397, 780388393, 1050543012, 662749641, 1009989447, 763596384, 424744884, 795052375, 583055513, 486041230, 700238793, 478776241, 906113705, 757695947, 937635251, 7541590, 682135696, 809824416, 4432532, 1034746732, 301368097, 789710709, 591129515, 156785377, 939054975, 382304678, 765110079, 833291645, 784689702, 141468257, 594930572, 1069215728, 1020133267, 877144037, 733576265, 19488356, 695223995, 100274670, 782943844, 544324954, 655661269, 106832221, 339201527, 211671803, 288050541, 577853449, 363003385, 14306998, 296357415, 487407376, 530196531, 175487311, 221661648, 744238634, 813169781, 974251539, 27668759, 746391920, 448100620, 273163099, 993780839, 1063646490, 241373725, 691167820, 725056118, 402640988, 623416298, 979254414, 983448433, 714286923, 1057846845, 364608006, 792361282, 123791590, 250283876, 121094919, 872936532, 648024188, 1011169923, 425870446, 25325317, 1040444869, 519198109, 612225758, 79488926, 424408644, 34977258, 1014490740, 189569867, 860138785, 578895937, 729238124, 313924894, 131366146, 278744080, 26385986, 434334482, 750508, 486049471, 84684684, 849981026, 347908337, 531550936, 186476881, 1048327981, 729575090, 311978080, 884292575, 81209335, 255144267, 880322366, 292305885, 1019792302, 576074406, 274617419, 581659691, 304650060, 42084514, 853113587, 96791914, 617659456, 50294921, 1072576841, 499904634, 946035750, 322278412, 135718522, 148192813, 240772610, 48890818, 406127137, 450132505, 456606444, 264427947, 42557310, 654998793, 444796121, 915050169, 10877547, 792528470, 51003660, 376833429, 446721993, 561846368, 174583497, 446609662, 792487063, 90791407, 105071148, 1013320421, 144799773, 565720684, 222170319, 476574631, 1025647271, 855858904, 147915168, 211732619, 403478503, 985854460, 976806455, 882370667, 482570764, 894129450, 436357167, 174275793, 374654038, 1055075089, 15382571, 24271253, 863695138, 904906110, 245211410, 528309479, 445565105, 735484583, 976250729, 557813855, 288099722, 983902209, 526195978, 667260078, 70904985, 295469432, 894363684, 745106747, 1009608396, 979482319, 604752850, 50363247, 693862920, 709337114, 512761081, 1034616961, 806952239, 820669615, 146265127, 51909503, 685799303, 779884320, 511218148, 76826378, 971244839, 1000659660, 562767338, 639419376, 326866224, 863418760, 274064768, 4997549, 506986570, 618119102, 245381152, 930003519, 44593454, 46728635, 764271556, 330913211, 588863665, 1066564076, 976381535, 1060119029, 233738453, 1031991082, 829674738, 141395756, 894181902, 653394556, 883436917, 495437933, 810681130, 414980266, 842554442, 7742070, 817864346, 64073802, 841585335, 169412924, 772583775, 677051003, 221313951, 669381356, 817523817, 733574704, 1056728757, 988596548, 899330174, 558638815, 503352734, 860252943, 737613610, 659559017, 638056773, 484641952, 1062135882, 75162922, 756017634, 124590491, 344376532, 44854361, 123693486, 405055686, 8400563, 56914667, 87693798, 911702731, 153547899, 410312418, 669965817, 916156430, 983074217, 867474974, 376565963, 471434456, 245367414, 626110507, 431494188, 624980442, 640961222, 984264689, 419976045, 375442920, 1001089752, 941524048, 124315241, 862461998, 352405804, 765134158, 842283893, 36331735, 221167523, 589244391, 798311102, 472865886, 378449229, 966176722, 35921816, 515286784, 807154476, 273632127, 467923294, 883258233, 902854382, 753473440, 725512515, 1004270140, 615600911, 898207913, 953921625, 478858279, 892383878, 161421446, 649835509, 38901044, 985917401, 201355823, 147098373, 430358609, 715264398, 628499487, 1049442191, 857376744, 985485821, 272656715, 479621525, 876789568, 339274212, 1013343941, 194730793, 162125851, 367302038, 258230212, 356658728, 624508516, 826822341, 810118446, 659292650, 436794590, 429970788, 913669268, 93785339, 47043019, 406351427, 372961299, 864598269, 654281605, 118097477, 742616720, 273120112, 963739179, 1063660843, 961743991, 654209871, 326415485, 526041960, 223611303, 693069171, 555620596, 1023522050, 125711110, 223585975, 378742685, 983122534, 377728956, 338857169, 705160876, 219341325, 524501490, 65101995, 651581402, 355570068, 150902136, 758951204, 152526520, 804918815, 976763556, 291861141, 833145219, 303983635, 982224840, 752234930, 664820239, 761924065, 17771202, 992476093, 439964863, 993672372, 336570745, 209085903, 552935647, 418411993, 936089050, 517660541, 566880550, 214514048, 982710540, 867623592, 641307055, 794492861, 900338932, 531657860, 633377090, 260870126, 830695068, 46963889, 394910701, 139645831, 953816760, 1071586112, 1055360761, 113204434, 864482246, 535478965, 952346516, 373235931, 781228923, 958739473, 196341819, 531856251, 792772507, 575772236, 763167794, 15067274, 21589148, 214191032, 411700799, 966070844, 54565425, 772684763, 313807045, 942935562, 329641389, 862336265, 495951173, 975521409, 779788055, 149401914, 968342671, 351590529, 384112426, 187632074, 899015808, 337228978, 701963137, 112141473, 815405885, 73073087, 129414418, 1052081052, 438951440, 167331809, 93423524, 814055412, 6130180, 267333430, 782740927, 195254989, 45480243, 310634356, 796899520, 852052790, 667628569, 1003420139, 117889208, 361805584, 649086034, 913812399, 1037152509, 217244652, 549071806, 643238236, 171430530, 764858541, 1035471439, 20593045, 392885960, 597113143, 38683558, 255351114, 408714124, 599536753, 35662933, 913933815, 939639517, 333459352, 202822146, 421310809, 375922343, 874569820, 909020426, 854063315, 369518832, 912166350, 233140997, 223328423, 265676720, 680061048, 61251230, 656339023, 979671910, 6378234, 387872070, 661568096, 122850199, 985327699, 1016908340, 832398849, 746833789, 861134252, 1021456431, 742313245, 954340684, 42939520, 126237077, 915713633, 706246748, 331487096, 336520660, 533792765, 235464454, 999427995, 181807438, 551828221, 609061130, 716914731, 737746128, 1022308685, 294760299, 771282445, 960655457, 624591635, 716967853, 697500127, 429491253, 34245983, 567675172, 929892566, 242439101, 607912520, 669505577, 388352073, 792791014, 87106138, 35254800, 128887141, 422005737, 439293022, 111968496, 896865709, 615287171, 935425224, 190959775, 427834085, 192053361, 1020956715, 934659241, 349809807, 217366114, 920164517, 93263517, 18054268, 761353421, 555104592, 556517680, 438610251, 388019876, 969971471, 767304488, 379227472, 125866082, 902264519, 965499529, 351316035, 227333720, 574904494, 640588776, 308125080, 17523635, 856294995, 645922520, 65398573, 929052112, 516694495, 553387917, 794587985, 70733509, 181847057, 205468174, 574080799, 501949773, 211787133, 840095367, 603665441, 813999836, 560353330, 315225026, 1019037711, 88265807, 278922586, 866475373, 191001607, 366729580, 88459327, 159571482, 318093422, 978640441, 964323327, 548210692, 569692378, 214832966, 568911476, 897150231, 629554409, 614425009, 543841320, 40804523, 539306672, 882171281, 215943326, 602155130, 924236147, 797568935, 947217968, 51790686, 235846378, 945649479, 314235307, 495485333, 519788028, 595380320, 551913708, 723958093, 714753918, 577427169, 294794973, 109554131, 977078842, 1043811277, 335796830, 480586598, 817438145, 118904785, 606672567, 202665759, 123580183, 495877378, 216270814, 197819674, 239507450, 563937885, 5793599, 284912303, 712278979, 668095908, 353787645, 656334776, 661300231, 113421691, 682480956, 47573162, 733951878, 187014029, 312347933, 216175719, 132315909, 140610819, 1026333052, 948491810, 575680174, 519742801, 1073021859, 405733460, 978494647, 991057024, 348472403, 1052620418, 398877777, 529117041, 286865628, 1049577091, 734506190, 755286995, 438918265, 465770467, 780986158, 798453266, 92763753, 154886586, 406144438, 38020883, 94336080, 806556222, 525183968, 996979575, 143671141, 1006462331, 819813824, 881368480, 434371765, 445978605, 588246428, 132235651, 640912621, 811285271, 565720057, 97796419, 92031277, 732370045, 661184551, 58267610, 295390033, 1051548180, 841920881, 688254906, 517268981, 492095735, 748693923, 107582344, 52567307, 696765703, 812386044, 372489120, 463239084, 123359713, 1015741498, 769696734, 238489510, 442396882, 738317104, 674141012, 952505247, 1049067219, 841703557, 765629245, 552476261, 571811015, 436541248, 974569166, 380079319, 475657061, 198161067, 464455899, 967469764, 548216267, 118728620, 314263365, 680045777, 20899488, 338478000, 454503725, 469667350, 222678120, 403133909, 681295418, 527573258, 225067176, 117495644, 882006513, 254445861, 898002830, 883014863, 200336005, 736708377, 476640252, 833990941, 194075310, 888201888, 180575813, 789596905, 350130556, 903576543, 874933757, 744596595, 270214731, 545545621, 699760545, 381453151, 459415299, 181353797, 772016391, 746346354, 506949771, 1014695489, 443787014, 1837729, 796235800, 358010712, 149579400, 493313888, 1003115090, 950723575, 899204629, 32509458, 396353007, 143138277, 777351525, 855365072, 979147275, 844918019, 682682584, 471828599, 857249421, 933763617, 425806207, 325570397, 269999466, 317832760, 953908869, 586245719, 915079099, 60185786, 971984266, 394367112, 223403501, 308915650, 879020115, 112596500, 150760215, 589686271, 1010078929, 666161934, 803929949, 903416084, 606243269, 174578520, 1063843045, 238758576, 108878414, 913880158, 195774722, 867727042, 773839230, 647147084, 220643133, 291476596, 978001095, 768910409, 993921890, 87541043, 455197817, 921204306, 101263585, 626734747, 747923133, 496913748, 342402051, 917764523, 176776963, 686343370, 733080009, 81432673, 564534408, 745799309, 990103289, 51647685, 198656364, 990927862, 912914133, 775861397, 275563752, 180601727, 8909525, 1053117418, 398052921, 413305834, 752247619, 181581703, 59063150, 38164570, 102603387, 318041192, 639114448, 1064364913, 959422298, 976563412, 437064071, 955893165, 424301751, 716521133, 876212661, 296087821, 626346080, 358368860, 670774550, 596861328, 66956844, 233277695, 1038052471, 957791106, 897992707, 402723745, 244391832, 37736512, 975565531, 5895155, 699639818, 257354499, 764648363, 783845463, 912698883, 498510594, 6393777, 779368724, 993780231, 988880374, 477429770, 184744250, 752173801, 823050001, 1059615128, 307715309, 886367204, 580003410, 286411671, 528847200, 558623391, 302607702, 930913256, 287386500, 406617124, 463898848, 833733792, 762065443, 439888525, 585368266, 471743498, 208803595, 466220746, 88763929, 799724895, 176430233, 812291948, 115292841, 989289459, 86690101, 267230677, 902024313, 744277062, 461617022, 988474602, 386900224, 168783879, 414546677, 238316744, 669992403, 723971561, 505929956, 278188839, 824171035, 839683505, 322173713, 486963282, 189102516, 1068708387, 25386624, 355646923, 547162102, 142964323, 1020682286, 726400375, 645610980, 822183572, 102460495, 52706669, 423288709, 568167265, 810701712, 123246769, 615608681, 302639279, 208441430, 307020478, 837086443, 28562624, 54200910, 1061430612, 806184579, 537323082, 445620060, 12093439, 482101920, 434919195, 821728144, 302016383, 81745796, 721265995, 999761220, 585064871, 15470919, 559874283, 703440853, 353547738, 228214706, 71261225, 141835468, 529549699, 369212915, 1013231174, 587315976, 678773074, 501518148, 716271798, 636436570, 735202421, 379920261, 662530131, 39960551, 308485640, 884694093, 379187261, 94579168, 859841611, 683618019, 431132756, 1024312904, 895576881, 890706324, 105293759, 30294166, 755935577, 433676320, 212877423, 576392190, 227675184, 580553571, 743517110, 310360507, 991228194, 971578638, 1016065440, 909856990, 935098096, 53923380, 31209537, 707747444, 35137952, 444850957, 811647143, 689276672, 718007811, 171457187, 964358115, 703049494, 842565823, 329222716, 1023778567, 18702798, 689609058, 431506608, 230118457, 293272157, 624568782, 178756496, 707141720, 907925408, 888642433, 392788576, 1049952317, 284460084, 679931853, 953006797, 762619439, 1072350926, 700830831, 377989879, 106697941, 887009702, 480074431, 628177937, 879725380, 406223149, 956322853, 898940642, 363931448, 487172098, 134566278, 886084146, 147182857, 871687610, 810095704, 123536990, 799491802, 743210219, 73489568, 129190878, 108197202, 884995839, 664270908, 859291012, 414384285, 636184320, 30908831, 1004380312, 397459368, 846953174, 706912583, 423580452, 808780814, 615371253, 1028259107, 792776155, 953406095, 660893957, 376062746, 316385252, 297156501, 21179314, 258408298, 403277857, 181890041, 899129109, 252181691, 618661757, 840812753, 385128684, 405189014, 512064502, 211893781, 56999116, 661491525, 673863118, 1057867979, 179025079, 662339603, 584069810, 945918739, 858366033, 523137133, 270856815, 61341877, 733792092, 542194205, 627341911, 194001866, 700772383, 483923412, 494707449, 159274315, 171765857, 77824131, 258604707, 1069304785, 157406154, 855950211, 259480945, 652273369, 288955403, 198108096, 518495417, 175063225, 753346247, 684243856, 787576295, 32017502, 951598512, 401389265, 1049428992, 187094688, 558439158, 460937414, 844366969, 79061926, 829908503, 68696347, 70101541, 143224217, 546557390, 650675197, 833328252, 834380395, 996250926, 706671788, 253853778, 430898026, 916918253, 1062321609, 367327327, 509637607, 705717640, 76053294, 852831514, 770369216, 675525448, 415377492, 386111427, 208257680, 916108577, 648759876, 1038692772, 939691496, 421677673, 828316496, 996122214, 113029746, 354421770, 331291615, 330679885, 776706760, 488216066, 882496394, 138539109, 940053592, 1955695, 728090482, 446875317, 788413224, 317914, 905499657, 547812608, 143067711, 583098504, 749360578, 907426425, 179695376, 682595901, 474197525, 1068550414, 130364579, 525587309, 644880213, 153659956, 530612215, 177857222, 132428732, 559517909, 480371953, 565737340, 557828482, 179995273, 728740140, 315665958, 491251972, 853773152, 937858143, 485717879, 597598479, 853766192, 727130211, 442111475, 951393653, 364397419, 1036797178, 297164236, 113361072, 747855202, 268833199, 602213748, 511378005, 1064202817, 730780204, 1036305888, 229347195, 838021620, 125136513, 75515349, 789646836, 291250714, 464906727, 22123394, 415144373, 583676087, 145729668, 28882953, 357925899, 962989966, 1068234188, 190763548, 795297447, 837833820, 373391997, 707264164, 984079793, 786802529, 745538683, 786282009, 370126926, 73840912, 828231593, 644968968, 6726256, 215587736, 398355849, 222597835, 253246945, 39231476, 909369844, 847690997, 673639689, 633641544, 135228813, 306708033, 987997848, 589969307, 996113784, 54013049, 562431463, 122115201, 1013406840, 976412389, 668779269, 76381931, 324218875, 1004602829, 529064740, 193883346, 68817975, 53051401, 1024793526, 1040850125, 1043418793, 101164843, 837104921, 192260715, 1011727528, 932455179, 866450504, 527808313, 786417978, 82740088, 384744638, 175185544, 469468956, 677748358, 295203451, 266171765, 839668449, 528814490, 531123037, 103662460, 231046816, 564680519, 1057228214, 558668028, 270593025, 409140026, 1072848837, 597276274, 534722360, 310320410, 964689289, 899068540, 1070103516, 673093292, 638364826, 1021325249, 928615544, 377660704, 826484753, 363283920, 363387697, 1038773140, 466038308, 341377224, 51057952, 647363139, 603980625, 669987539, 1027239732, 161608879, 304276448, 716193593, 666788566, 250285845, 906414532, 178228148, 608712433, 971439000, 522151482, 61037230, 174086182, 117796102, 1023589020, 457771970, 813396188, 210882460, 431922230, 339052355, 1068003445, 59947271, 1046708986, 1025253446, 988755257, 920967352, 329941417, 38506741, 433913128, 102300666, 744944427, 660116029, 143040386, 1022609780, 894447404, 701819226, 1028554694, 1061565312, 1022988181, 851033624, 447676929, 1054504642, 553577177, 614629001, 814113657, 1051617263, 269448792, 435967476, 509858323, 731040969, 733482832, 851026630, 512080566, 776537799, 265746379, 182178226, 744757298, 964242494, 842770126, 590083107, 579396980, 193469818, 586596299, 303431175, 44243611, 5678487, 109572512, 837051775, 121044926, 949713206, 976849500, 612465960, 520055440, 583964638, 1070800307, 574599321, 614454000, 399149598, 182116143, 957070064, 141449534, 704200374, 720696718, 859625989, 471539981, 227825277, 39457169, 136986153, 503201775, 481156401, 451347424, 571382944, 272740709, 263399355, 485556825, 774375239, 427495950, 361726499, 365602873, 135237631, 599821971, 64991910, 321588936, 753325518, 545130035, 87598516, 36506071, 1057467602, 2379281, 90254602, 364205318, 838717468, 972810489, 172993317, 129186392, 44353217, 1001015018, 1072275481, 56344603, 670530385, 1067382723, 1033230146, 309793819, 1030107455, 225607755, 531496801, 1070611791, 789616343, 186223972, 141881341, 281507980, 645804852, 1011288101, 638073485, 435586690, 1039183809, 368611654, 967143754, 111089033, 866386912, 959267125, 730762631, 263769182, 1061426270, 352689179, 338550338, 874462595, 154877016, 232513709, 54414218, 826780228, 754974267, 139151919, 944214269, 195615807, 358613357, 965586752, 755739165, 151371447, 1009969650, 1073541744, 410252501, 358414290, 960435067, 168507826, 563185340, 415183551, 405969729, 732817952, 958782694, 924401334, 160632722, 496380328, 604274707, 631598656, 320341636, 357072503, 546872335, 1051690082, 792851834, 794686057, 561191796, 363242085, 395942766, 12056887, 984621247, 152239502, 125884965, 635050779, 621666892, 1069370724, 197232925, 1044069077, 501273856, 315598009, 271165706, 459446074, 784229981, 170013367, 569406833, 234935493, 1059979187, 431020133, 364832341, 386622737, 869656484, 1068429628, 921340860, 704370421, 272943522, 564587263, 81071571, 22368825, 497870710, 605253118, 225432998, 489078126, 730548845, 225994958, 200968037, 179309206, 856087255, 492577796, 888231800, 857321521, 929763541, 691380557, 693796146, 758202597, 850834606, 672126476, 1001193990, 684228978, 769890330, 827223300, 1031024757, 462167178, 21238657, 779667293, 457413822, 508722246, 113275336, 960437203, 211309650, 1046117223, 500509489, 118918082, 36278221, 801289687, 142397523, 250938869, 431118972, 535570497, 61183729, 266857088, 937575296, 449599861, 317163230, 45087772, 625913656, 486300502, 1068176748, 427121351, 560690215, 593982336, 667710425, 433428583, 874606881, 105382931, 395852806, 870490253, 1068050511, 787101918, 946199917, 103232447, 147652382, 501539610, 659118802, 613236050, 305527017, 204678883, 429662578, 762282743, 135787605, 534951734, 612642430, 1063998302, 518084187, 683657104, 506809395, 131487012, 222762427, 846246588, 166066987, 12404757, 26768050, 900360552, 440926926, 173450227, 42452229, 262306056, 826253493, 473293843, 1007721394, 951326655, 549357775, 853080377, 543265397, 77319796, 970514514, 554228268, 701026368, 79930599, 453324222, 39575701, 716454419, 187062994, 314849806, 295862708, 989687120, 180021755, 219326156, 551251542, 448743223, 1028032012, 1049260313, 294079747, 868577379, 193995104, 840793567, 478167938, 185046430, 777929486, 394208488, 712300059, 523286857, 984365319, 250936471, 67301288, 932072872, 90261437, 99360337, 437413777, 785241712, 157719134, 48127251, 869550377, 61491432, 899158451, 17081937, 393240434, 132858374, 853114576, 267943349, 736481025, 27486621, 347093779, 1018295084, 15746923, 233681033, 719098336, 978434239, 257312097, 89031174, 63650379, 737597341, 35366965, 1009924528, 180291895, 636699559, 843391567, 317566985, 894572216, 1016527905, 539207298, 886972953, 550605129, 99595471, 395750789, 48602226, 292824161, 194975287, 210079332, 993619300, 1026541047, 262712233, 1035591390, 188956306, 995228218, 387659382, 797055554, 905980810, 380943423, 156946766, 352640965, 623608680, 474297669, 553099254, 169071982, 1065652075, 27257367, 892893169, 421304518, 655667334, 348004320, 120765826, 661574670, 983100498, 498946678, 353217239, 971606951, 366569568, 114769627, 246597832, 1007603633, 725010369, 343555391, 363683827, 461503845, 72882084, 340870763, 935375739, 199077246, 108137049, 933469830, 110422014, 677931850, 928161812, 970124442, 294274550, 736639939, 567100110, 1026959047, 269611225, 308062654, 645203412, 886945305, 798635688, 859911268, 977380414, 505111471, 1038852315, 762967686, 151863442, 1053975674, 277985320, 481044406, 600134200, 218828304, 231338121, 866343092, 387988572, 816618183, 894743934, 565370568, 79231868, 802002770, 183397893, 359253064, 693343687, 357149188, 816534602, 646701858, 441046561, 435419265, 807712196, 417094923, 443913754, 978114502, 1033994986, 318940797, 745490333, 191674879, 887367821, 179480993, 672289637, 1006921977, 286613050, 822722269, 12739459, 62342751, 120738451, 64206142, 1073268110, 367663277, 180371384, 165520888, 234258975, 824827749, 384126997, 147258077, 477127924, 231212960, 7920310, 140991843, 489758205, 684063139, 14194027, 356543109, 204948400, 896448297, 957680048, 625007336, 246247795, 823823147, 739910327, 231626012, 836076066, 508373104, 701706255, 285837674, 256993218, 1024141469, 827442114, 68557336, 972052828, 163369654, 923295823, 630063240, 190497282, 177595122, 351647768, 365280552, 278682852, 544142568, 512826605, 621132240, 177403369, 522844211, 129309542, 661535648, 342160223, 753300213, 538235666, 348259153, 78713127, 37617358, 152819037, 545655595, 857291858, 239807162, 94731617, 501287826, 168390549, 997110629, 350971561, 954961303, 862152484, 1049302305, 941947879, 917615641, 573410378, 555549462, 151401344, 28429164, 288519101, 562914149, 447648989, 128595075, 191510720, 493966697, 205861751, 853172544, 59415992, 737004406, 848147507, 248396528, 160323010, 715601649, 435732844, 71336219, 808548197, 1040002265, 749003820, 529288997, 1030631253, 192809804, 787399844, 960821971, 402492495, 1002152402, 704553261, 427996671, 197591207, 577551621, 217806414, 78594199, 903049454, 631579543, 1026933692, 844414461, 28389050, 27315862, 60397956, 472445522, 877382649, 149432295, 973112842, 511902637, 509169571, 516775002, 409383502, 269783781, 99847961, 103873470, 375639886, 807999180, 1031922104, 190201470, 178221313, 352231115, 817642522, 441592271, 973258481, 383148409, 551068836, 430180262, 42869959, 12634644, 267234682, 500847728, 3429257, 537281211, 177394679, 108584805, 206210418, 911498313, 626057167, 372016632, 343935279, 688410748, 589614708, 714646400, 927114808, 161165317, 85595037, 944082754, 1064997895, 414685601, 906731482, 1054549327, 842599244, 950658257, 930132060, 526805798, 851799557, 1029772485, 618136162, 947551168, 11949740, 982208416, 646241298, 974945593, 1035495502, 440473784, 627196373, 868678943, 206146575, 280702243, 260785356, 542384814, 29750369, 511873152, 679787902, 868347107, 1047370924, 447545752, 359643460, 348099392, 84324062, 240730611, 1042873076, 85690304, 159810933, 405807752, 288048528, 1016195095, 954376787, 663764965, 831412703, 334061080, 212481213, 154828333, 330262948, 918578150, 13439160, 176336793, 688518283, 994374040, 1056859700, 593818935, 145882306, 708190265, 104743846, 36619199, 207060899, 100248736, 593603656, 607253282, 909094718, 344659044, 663159754, 64122645, 774885678, 707909844, 713753380, 252785897, 987068147, 799033219, 39018852, 1025593428, 182113006, 851123179, 888426347, 414645318, 832685682, 19698873, 589627019, 358012505, 710901465, 981109764, 924319853, 16792773, 707894320, 1056193717, 1025826919, 176316401, 572001152, 326451254, 657639447, 169220920, 182798005, 967547872, 917445472, 656793500, 55407357, 442125039, 105528621, 328807084, 1004216608, 667256957, 7516086, 126925295, 873576759, 734009740, 905371649, 224497733, 165781259, 696460124, 450401754, 23254678, 67776736, 208288747, 731688844, 874379910, 959593435, 1036389019, 48426494, 523424618, 248067050, 944661557, 618075163, 655530922, 305937246, 782936015, 920929549, 255399737, 313381930, 810717195, 879809896, 262502894, 762047152, 54605674, 914242099, 376095980, 627665343, 23577417, 950633811, 241482871, 205339011, 173373675, 255233588, 899725484, 400789961, 685716181, 898648614, 789943755, 697195337, 111942856, 750655062, 83095308, 12605695, 1056358705, 564736106, 462368393, 978528483, 50771347, 313994675, 723521270, 423332341, 600446548, 340541715, 434419823, 656289930, 756579054, 655903595, 18341851, 177599222, 11474167, 59494525, 705222726, 64997170, 53183143, 178663474, 867184126, 429189505, 448652194, 87038406, 789341771, 571610034, 136109917, 885416730, 795116564, 238535357, 848980979, 175452414, 631929622, 297938333, 572617188, 678439456, 503578081, 289952784, 11156406, 97327294, 325698436, 225255990, 893296779, 244874382, 898289323, 375441275, 1023646793, 494482656, 488040835, 1051467626, 670672484, 933987951, 518980576, 298912746, 864675793, 823991954, 1038540411, 688911325, 416273896, 496496784, 79055910, 516493545, 997158232, 843673545, 544033184, 126100930, 358425942, 1002634500, 17464798, 731333472, 256667777, 660037729, 106389506, 742886661, 491990040, 115749269, 41170920, 621021673, 261973347, 42186732, 229652488, 469757974, 750860855, 490132744, 839236439, 1038900309, 309391202, 272219180, 919412149, 529187593, 231878508, 866842446, 43223952, 689781650, 160643391, 373446016, 988227412, 573543349, 319201535, 79414718, 552525452, 838685634, 654392817, 571015081, 950325245, 107636469, 30719246, 1035833762, 618332104, 712303988, 745475602, 989629984, 524762471, 272725038, 216856961, 384857202, 976323970, 279187430, 1051773398, 353714718, 21902250, 5527251, 726919826, 243618424, 923410689, 568135448, 27584090, 50661786, 421242197, 299316570, 236802809, 535707288, 1051571723, 79455747, 1013770636, 498739877, 96690185, 1002493219, 211280973, 138794520, 915866177, 1051394445, 664439684, 931482390, 1042941039, 504762532, 704232524, 62751770, 34102122, 586303962, 203418032, 1046683142, 71942703, 12493376, 168119645, 984550412, 1024252082, 302199167, 241860504, 401998675, 300417273, 420587886, 892101370, 890305765, 442424514, 580272605, 192400068, 701456216, 16628521, 107490586, 903716090, 958507549, 690690602, 1031343998, 1005436247, 930599887, 127368319, 1065397250, 987910746, 147773176, 971051278, 281175507, 1027988566, 663426291, 882895240, 37090712, 373898045, 643030061, 1038840639, 934269815, 867627197, 322456601, 70420971, 277442118, 380659184, 631522171, 3455656, 761232722, 1015920922, 50321230, 715323227, 375205382, 733053877, 163646763, 1042961894, 688573467, 643188469, 231671331, 60293399, 699122004, 331945734, 582611332, 742268531, 900204511, 161650859, 154230697, 736952249, 65592640, 870591256, 282743044, 37051786, 952503595, 706560905, 426062293, 212479190, 76008745, 347759344, 349980685, 826992920, 293765350, 646107606, 470514301, 599459065, 868859072, 59675663, 468481430, 892628242, 1052873033, 1000130985, 198766610, 1034630015, 1034019192, 160229005, 147462520, 176796664, 237237720, 420184044, 1034669516, 340659420, 1057567803, 557337860, 827805431, 4891845, 1052940668, 766676120, 757565372, 942144203, 969001728, 786649440, 524255666, 763062311, 74097569, 235987547, 958632812, 30413858, 1001239111, 886948881, 1065316701, 918298200, 311591901, 915362911, 500654191, 301629438, 689332414, 933003738, 405355443, 750307830, 678744530, 912730619, 436214839, 841192196, 409222067, 76816047, 860163391, 933262455, 406778944, 185537619, 283131272, 159806946, 989858235, 597672435, 745996421, 854257964, 11676290, 796523367, 851534347, 1024394942, 851441644, 357739249, 805423004, 295851808, 245476590, 938774924, 543636467, 588799604, 367467827, 479866003, 887315435, 927545390, 583683592, 354038565, 605095689, 853805962, 299621610, 990555744, 1006682801, 157485966, 80615952, 732571925, 166678348, 717885177, 191629677, 859143585, 488683530, 6580579, 770274874, 460792450, 58875920, 421036694, 231310989, 920788651, 597396335, 84699675, 493574949, 267631301, 502720862, 642560670, 78509495, 192312861, 1019446457, 735365437, 852888137, 555491979, 654997572, 707580848, 885314958, 722387564, 314565713, 1019001269, 446049539, 35648891, 979090898, 710061403, 184786576, 461374675, 526185231, 973139963, 896146710, 1019030313, 576988082, 806957170, 185956237, 183092889, 15355885, 664593452, 174035463, 465055497, 770104903, 817109022, 141331, 901213812, 231811611, 215074628, 809195850, 316248097, 362768842, 758861928, 4929410, 897267945, 648956341, 46238187, 554596526, 609171811, 1033155101, 709837706, 623411679, 773098790, 632075065, 501298146, 185692046, 475280869, 400974139, 459413365, 293290007, 956987740, 12837892, 728681772, 608441800, 986808985, 618092991, 633250522, 135954231, 177285298, 425191184, 489154513, 1025811330, 228914605, 172689561, 859455871, 992636876, 491112113, 165161489, 878555551, 606389216, 524743071, 945019156, 1012558530, 604322109, 467518396, 459115002, 788549643, 119424259, 232217004, 281726320, 937919184, 957383026, 926329649, 496139132, 134326675, 410395829, 780099885, 440392109, 351972278, 756624308, 705467522, 86563951, 1023819637, 298904791, 558444576, 998863037, 854974622, 649867710, 787272632, 1010289167, 708965124, 663195089, 358697108, 509417316, 201753421, 982303846, 257806800, 686316879, 300123339, 800132441, 518949150, 958542437, 329095913, 356900846, 406071708, 848601571, 1050619477, 986455312, 961751544, 565053506, 1001268744, 162823473, 128312545, 628121101, 808397539, 7127684, 576150318, 76155069, 953562661, 623349698, 298074618, 132344352, 678355192, 766439796, 370114250, 98675452, 276221653, 431560129, 688705937, 606188671, 500023622, 483266256, 622594700, 791592617, 584590848, 394421861, 174684259, 1067266318, 298416367, 278642281, 345646715, 531679355, 983401307, 747359429, 765312082, 121034164, 862095779, 201256401, 764192736, 971671518, 495233823, 468047731, 819925819, 296857976, 790875727, 13536943, 863749820, 709101568, 226843673, 456053573, 688351663, 696732889, 942917601, 68645174, 599295753, 256862570, 77446213, 242930548, 827885302, 713663, 922547022, 152701471, 925045151, 765197559, 50294491, 725602635, 204626433, 602704857, 849719285, 849629877, 793484645, 374985455, 1047953362, 650846931, 1049964638, 10749358, 29404935, 790715272, 249650162, 866501501, 670152121, 51168520, 290902828, 648439210, 385740914, 18308508, 731648167, 739401426, 183605559, 176651284, 897618846, 429931043, 207603242, 597949625, 156734981, 734940885, 100087651, 927088919, 739028913, 836100541, 367530309, 353140784, 150205619, 49135284, 901337942, 724402539, 12679647, 336524821, 386909400, 147621967, 56263237, 508523847, 790056445, 644891090, 952737451, 97622766, 306721712, 950682502, 235830194, 381141288, 729838184, 700324155, 512662254, 489764334, 95982304, 4994761, 877106612, 488472899, 1051973038, 505440218, 566704782, 552690545, 475751513, 727560894, 1058743854, 855417402, 205301909, 1045799604, 696724426, 306914749, 791320985, 186021103, 231723818, 23386876, 140105880, 793914731, 993976660, 1072488713, 984437558, 676231266, 1010227715, 894599478, 894397089, 941608874, 771073584, 346196452, 65731700, 34664427, 196150938, 949081763, 473545169, 632852353, 233458469, 900539387, 880483095, 938514613, 405220182, 554938459, 320374399, 799640382, 633957472, 265023952, 753822363, 243703377, 977921471, 524619365, 815751113, 51096694, 1037884597, 430654442, 179040140, 998101967, 896217739, 251691661, 426007366, 275410636, 757405354, 257374460, 1058132212, 272819247, 167758129, 288444500, 908811393, 1038959462, 171105246, 432063894, 518235340, 796722954, 93977114, 1061081763, 119779606, 506482609, 872713741, 370172547, 139811921, 261417971, 58066257, 685507556, 358958095, 111086377, 466018042, 323472113, 706508551, 291774539, 365120090, 229242768, 905574567, 672488910, 258515532, 103666774, 880636894, 36447395, 545615226, 916617917, 302909313, 569549135, 856411682, 891382592, 461302934, 988019970, 168398630, 938658120, 308568464, 504250129, 314255050, 611130101, 533714372, 1034105535, 857446033, 619477514, 803518805, 423867853, 97469679, 781602187, 608491640, 1052671510, 124245157, 417158809, 642590643, 179852375, 108346207, 246062618, 438817988, 78229000, 458185645, 895465210, 249375435, 851798091, 1040356469, 374344636, 211353271, 47665875, 426129052, 181979624, 264634184, 745257637, 170683243, 393208306, 704633364, 724629236, 895714718, 511867347, 31165425, 817117473, 1020894371, 73928217, 766177110, 660476387, 652296242, 528595711, 273451232, 550669546, 1052124513, 608510180, 106165265, 639140243, 213448327, 1046552555, 467528510, 87606, 499987430, 77737060, 64774753, 755834223, 928848221, 458416516, 443069637, 445460558, 1060373872, 812003752, 142113462, 748366651, 634932061, 280112415, 534131632, 6878989, 443152000, 1008104906, 183435811, 921698013, 433326875, 559074785, 932598236, 98529421, 26923010, 203830262, 1046052427, 234261037, 17385613, 677421126, 861786433, 59833484, 367620457, 251770102, 602938758, 267301503, 778789009, 670014823, 765249764, 546289682, 53364459, 959381157, 632299891, 462351452, 407761658, 919860926, 779928321, 55266596, 625519878, 119383192, 826705529, 895315442, 993406797, 256611591, 615908489, 73697185, 535850068, 423299447, 493818441, 580480993, 299161523, 649459821, 898201523, 662071713, 340463885, 846058152, 355659789, 824213150, 394216017, 683332920, 934302829, 1051991568, 861854681, 1063138117, 1040645313, 895827473, 905187810, 199457468, 790491296, 517054853, 1034937896, 1057442190, 464134122, 746191053, 1037832886, 253697425, 231927930, 451740164, 442042508, 367954856, 260890452, 57380013, 916048020, 413516560, 658602805, 588331992, 335562987, 625015935, 882568630, 684057855, 328235528, 312148150, 995134780, 734449546, 18181758, 520073814, 3220825, 854905709, 1045937068, 865955900, 166498309, 181300034, 508463158, 337156329, 659564156, 195102438, 882798083, 584505948, 188140184, 60771178, 127371380, 475880105, 120582875, 373155441, 112966802, 86317737, 84757978, 881096592, 708482586, 324821269, 899471254, 260337101, 425034742, 34982548, 514910503, 242235608, 428367312, 930350972, 519764122, 752909169, 57721751, 992008278, 146925636, 387001649, 187289107, 52342125, 986572113, 749045197, 587500301, 744474200, 468708175, 220331903, 384944465, 75004781, 468002313, 122668277, 249571734, 715713238, 958582188, 968479241, 514298886, 3116311, 239946123, 977310629, 368625230, 588529499, 530495785, 1068282551, 234606289, 441764943, 869553404, 286417045, 162373737, 922432271, 1054649179, 434739684, 493689, 765390133, 10269747, 868086965, 358085690, 831518985, 364236205, 414189677, 43362462, 342459410, 749198414, 513964277, 736290955, 450712812, 588647049, 241605087, 784262751, 742576837, 986827518, 291602058, 206956002, 767006938, 1040712538, 858620235, 828472884, 8450790, 315372158, 532854850, 538529780, 940256846, 74412930, 522686374, 101377196, 891983143, 112224160, 964142088, 1055238951, 546332607, 708856849, 60948463, 811447494, 122046854, 885887262, 672289622, 987508217, 374681288, 1035771557, 800194219, 675030351, 538584089, 495333242, 918465086, 610895313, 715889761, 1048620795, 333067719, 470745593, 518003506, 450291440, 910027391, 159546635, 870985573, 219844143, 106292053, 602446877, 19306841, 1041135484, 443644312, 786423356, 49184488, 1054529391, 517163867, 381778022, 401377891, 368131607, 177359284, 1006244013, 55117433, 107538926, 306484018, 1060343614, 254912518, 452112920, 627682677, 197421462, 773396815, 181165870, 1051782036, 14218414, 499410337, 420931673, 616574820, 482013186, 1016181279, 216407962, 718913192, 451453798, 60211079, 352714966, 251327857, 94835564, 267820346, 1042719068, 550163492, 722654519, 610176272, 742264662, 884901632, 579800451, 112403768, 391825358, 552082740, 486624308, 121048971, 509765385, 179989059, 511394764, 462339591, 961026539, 870771359, 151658205, 896665267, 823968127, 406152300, 914422549, 245012890, 269382147, 925540125, 886590819, 553448204, 67042646, 170696729, 167764475, 336682419, 42825432, 1054518612, 750868594, 701715770, 779015042, 210112455, 922170503, 286851311, 146379550, 265247511, 638706935, 351066504, 329343764, 759039729, 712790475, 233121685, 180080433, 611825592, 311817412, 507523995, 475056744, 32847082, 636178650, 42839450, 164183440, 349895249, 369269954, 586568959, 780468991, 492198468, 1045939729, 22997623, 969898446, 870207862, 151211601, 653945813, 647695785, 558397594, 59545481, 286284454, 686559320, 136457225, 266430228, 558631624, 157362350, 1020595995, 14557147, 493359061, 232334729, 388982244, 760397480, 895233776, 529024429, 507312751, 235573340, 1027308064, 184124883, 23815892, 866019809, 78927057, 583694750, 111050251, 732598973, 75783487, 1059553962, 666679133, 46752292, 658983416, 793025593, 446259109, 276757704, 126681445, 800319542, 760768147, 515703824, 364332125, 89967404, 1036093600, 25439296, 802618782, 128662100, 309689010, 135407641, 68279194, 854772535, 554471220, 557953431, 678892778, 377106601, 122361407, 279972122, 579193716, 966299130, 282326542, 1068923581, 623225204, 719131708, 141073137, 170522872, 24834876, 909078779, 379206042, 463632023, 92348076, 360863068, 985042411, 718478292, 870769318, 18102357, 307009883, 216941142, 920717472, 365454665, 1005813126, 701512497, 75812391, 868566043, 199982472, 606868293, 613558975, 480527819, 175946976, 1052068566, 400782820, 983979497, 923318496, 195907068, 1045252060, 833527866, 183125668, 475979372, 53281212, 946327237, 417814847, 187922689, 349078115, 637368006, 674462195, 695667829, 800214881, 325594451, 167441327, 397087333, 430887383, 515331800, 436193709, 437323442, 809129917, 394138777, 652734092, 938005920, 1008458449, 61873389, 672694034, 745901985, 598982649, 602866434, 46475280, 438197291, 104131635, 907017442, 1064438941, 375714703, 555877134, 394675660, 82264279, 525572006, 844525230, 751742916, 350528369, 750700563, 782250467, 923866745, 838970356, 381431091, 565136116, 33404677, 597174081, 111690160, 654680749, 759525290, 977639614, 490112979, 1016143114, 211374857, 334880029, 1031734046, 879798046, 427897776, 873056019, 80644767, 485426097, 757807213, 215340131, 335716850, 848770784, 600983771, 677386739, 866547290, 970920564, 58331428, 172543966, 335843414, 930765885, 5121056, 130971981, 260175238, 385214687, 5183558, 1037287498, 634873342, 479308147, 646262928, 703348758, 542088716, 690003914, 526264419, 381617482, 63149481, 943522759, 179834948, 243572722, 197868663, 13070463, 1015241056, 829743084, 202596753, 255035519, 1041334583, 90657265, 116796806, 641507926, 33419721, 1051458157, 850604429, 504761534, 174623316, 528886121, 978912365, 837697610, 761155777, 478734685, 777642860, 257043542, 154563162, 180523788, 852645229, 351024221, 283600968, 329852034, 1040930851, 124248930, 130926396, 395848040, 835422834, 698254380, 219358614, 762232640, 457618429, 128009545, 207577300, 388827379, 436262337, 479291931, 1041641245, 7151820, 591785767, 614861583, 1070338557, 177427722, 316846018, 870199518, 1001436015, 108563680, 175225406, 340979407, 11010925, 858128691, 693427660, 731405040, 1003600134, 118387166, 778619362, 346586665, 684946631, 760588871, 780386002, 849379982, 917775942, 1036767244, 151211358, 853464460, 505995844, 185965274, 1513423, 448643288, 281008716, 722441728, 109721766, 357521484, 301305119, 430849337, 312402019, 581838645, 1001391023, 678899439, 806949102, 62923938, 192320291, 524091991, 206084447, 235531899, 62668474, 216333148, 374323863, 915406842, 506588703, 613629625, 499873231, 55631830, 201865976, 199741289, 9483706, 561128019, 271243350, 581165006, 69661071, 363233267, 247293094, 616622391, 689074696, 903386588, 890823924, 811624165, 841474270, 733076298, 231378900, 452995658, 92841743, 935945413, 563828570, 620749508, 424292754, 183480833, 920577705, 554862412, 224651045, 1073443933, 857082281, 457661897, 962818980, 158360195, 469404680, 129210147, 244611515, 359601127, 555131664, 402417106, 537621084, 730423042, 828716488, 683478925, 451541615, 506967880, 381423408, 233637889, 238505118, 693236635, 729661800, 241873024, 370828335, 843044666, 698628908, 968340085, 358120668, 541320035, 950534975, 207838000, 290411853, 201513005, 195401746, 451328153, 440986631, 360101818, 923095805, 77142043, 19827058, 419651840, 740146583, 905177043, 655634685, 556338850, 640460676, 857401688, 493917157, 725800153, 231097683, 677433895, 108829587, 771422776, 689319441, 419054702, 39319943, 248276793, 630557226, 559351082, 258197988, 958632689, 337559088, 991116526, 773162758, 33585976, 353615848, 507879935, 646282857, 352564125, 400380633, 539708085, 35885481, 15916973, 732659413, 827219633, 252149863, 88267781, 572079042, 491684625, 272016433, 523047918, 281582972, 1038808293, 31356064, 544842588, 797464826, 747143930, 928867470, 699439654, 335313714, 1014197729, 789385643, 19559434, 218071068, 706246966, 931406402, 391209173, 631316289, 1021457068, 904834081, 1005265648, 937227162, 598311728, 446866003, 521243640, 488211293, 91902972, 542934219, 15612429, 762003057, 942050553, 40284759, 862560092, 410264237, 47528322, 754189000, 453364316, 554182422, 488664557, 632767985, 997854267, 921705926, 1015161414, 510895637, 584823061, 933361834, 238938095, 3682485, 751776221, 1053032593, 277711147, 214428241, 366502556, 479302430, 617432640, 341465706, 647466113, 80665589, 910766622, 845140041, 24675597, 337048598, 482827568, 917405414, 132673677, 979884585, 816526566, 981606950, 62790003, 714869151, 772447626, 504416393, 287329651, 533339095, 671978228, 146598153, 227987832, 880062863, 64115113, 1009895680, 212595852, 81901467, 615124899, 954097974, 1064281680, 100458689, 826564622, 942770995, 1056882535, 134087980, 708291841, 864344401, 715616218, 1024464307, 347357136, 331914561, 941426533, 150037418, 987764989, 905019710, 890131723, 891764393, 599951834, 128527712, 763142237, 214171160, 922835336, 6251335, 719036442, 155790429, 646063755, 801984184, 607489142, 1047564364, 349445159, 663211739, 186721833, 38128493, 988212357, 127787386, 861481579, 979692513, 890709099, 174842490, 464230651, 222352970, 646831952, 412145083, 626577357, 1052545031, 681243041, 70605950, 47088784, 262140364, 931865056, 775064787, 579159569, 283085748, 926643355, 28143574, 10000403, 368524738, 833615561, 52699308, 271713529, 487114770, 490296232, 316655842, 661237678, 343542375, 727619318, 505312262, 352379560, 453971886, 676758550, 761960753, 243165976, 593655245, 525398827, 299265885, 914031240, 1061520128, 212148906, 219295282, 546600979, 278444905, 206832352, 970230241, 602443340, 694423585, 389942633, 919271543, 612464396, 414939665, 44169751, 724131270, 812697418, 66708427, 154210613, 435033402, 689455087, 927959350, 6802046, 101521888, 131383146, 503270865, 272602613, 440891594, 514722591, 913470289, 640831492, 1063593401, 1069948755, 931895129, 798431982, 134655976, 1053660300, 371789105, 230953301, 289275644, 846301305, 317079661, 702374978, 427823644, 1024319175, 289389733, 175682497, 188951686, 348018636, 504785947, 975654351, 439024995, 75209302, 300890943, 833873877, 1420545, 195440810, 555691251, 523961915, 531563568, 194408985, 442264985, 572473840, 26742295, 651280939, 57369038, 844717713, 981904498, 399442015, 569989614, 908891946, 435519815, 743882597, 275627499, 799247888, 214556845, 260174966, 422859012, 213339255, 11129664, 571227893, 575492624, 399363168, 896334823, 831218239, 128254272, 497048196, 145524418, 969296276, 249322649, 559909829, 484955470, 1044455382, 782914955, 1049531496, 107724359, 174249360, 778693056, 852438097, 561327450, 796786808, 1027376233, 57333315, 924276129, 1019786046, 580313114, 64905669, 560276706, 645533963, 68096301, 633989248, 685645913, 953525761, 437425048, 117932599, 71058712, 590791596, 1186870, 402129021, 539125124, 819994794, 442921520, 643839019, 515363362, 327604109, 714028430, 662056666, 999426217, 933591413, 272158427, 711227400, 553000564, 246475431, 11998859, 930023339, 605166895, 258797953, 885455312, 1005609205, 153500604, 438395019, 1015578712, 791995951, 911673918, 243426142, 714124086, 448223029, 755048869, 992687071, 1044039009, 291409113, 839527440, 1040609033, 232880222, 698066222, 947142420, 899975647, 766551912, 94854772, 212519272, 23142158, 482192760, 830416864, 837929402, 426672201, 850579709, 40972672, 89304305, 664764204, 591438682, 168557319, 609379102, 434295888, 21606093, 39282559, 579306019, 281367056, 569746351, 336871574, 981696586, 392388111, 71386950, 848842449, 594186076, 248776694, 977895160, 497913943, 1042118284, 1011622201, 328513768, 607475212, 594535179, 894077525, 898726768, 957861301, 626574191, 206108828, 309043531, 517526061, 48921498, 783462708, 408836562, 641455259, 671527188, 144872023, 480702227, 341460769, 426223970, 322438568, 940048001, 879275277, 501210751, 590405669, 40946485, 588376919, 133015324, 353263367, 738432510, 445219358, 984865487, 949894135, 126854802, 502875020, 167176461, 614324579, 17314968, 398289791, 796171214, 165275266, 186219308, 707504143, 277892813, 270669170, 122030966, 83815815, 4265009, 687433864, 646200184, 228404810, 275072216, 312635349, 114423462, 127726222, 532883365, 541585421, 652874921, 839553856, 445782145, 923362970, 935950562, 169175759, 361419312, 900618759, 618463945, 337465415, 184962206, 697023174, 454231774, 551226982, 261866841, 360402643, 171791213, 844262403, 426715896, 871970765, 32823226, 730423499, 966351294, 218910399, 626489770, 46387342, 355250275, 106443355, 571697190, 958848413, 1031920119, 1015295721, 934546736, 827063922, 424984452, 335470996, 452953785, 941761511, 184346380, 996949946, 198051712, 638264802, 571943045, 881503604, 13435552, 616440703, 924301973, 1070301965, 321977030, 219830124, 210116541, 546090330, 273111029, 507852374, 616453648, 41892353, 393100048, 119309107, 395759844, 418567477, 110898325, 203191406, 133296989, 667193502, 799627431, 26246570, 951053535, 411808933, 422218193, 2388505, 852445866, 988004787, 720235052, 943127116, 748004417, 875338505, 281236254, 754841931, 16315527, 184119398, 297581371, 119174540, 869932483, 567498340, 236026394, 729961821, 290838607, 360991758, 781175883, 246678695, 174977252, 330846188, 436817823, 672827637, 767184510, 1013882888, 1043673808, 790639667, 347623413, 677543332, 895898890, 519634477, 983296022, 155723926, 510325433, 755451411, 917506923, 144759136, 542412298, 160592668, 297849495, 729021249, 606076220, 891989724, 47632954, 822656261, 816071160, 290032794, 30847858, 778021937, 425238049, 607857943, 1028200551, 873687912, 264615473, 736862477, 690715634, 793754184, 777174013, 443076776, 468702481, 994756264, 594480219, 356656070, 31793266, 650655360, 1059897607, 527431897, 311871219, 1052397604, 699572508, 465455044, 756588202, 185433342, 354333696, 775345464, 325948622, 596870841, 752547562, 415697566, 320661785, 13476768, 932598306, 628530234, 503622511, 302789562, 79214218, 930930630, 314986172, 44108388, 927251804, 938032003, 941552552, 803196944, 194931925, 39706747, 217043298, 49794451, 9174024, 591567462, 570005810, 124821465, 471168998, 469024078, 267145761, 227264551, 380596000, 412597771, 941585784, 444810409, 434942157, 601110793, 910919968, 90305384, 591446685, 133442339, 684801561, 340202142, 359483778, 264473430, 479513871, 653748865, 894039895, 149323844, 347519994, 828218479, 843855230, 1029684112, 1011789228, 134075816, 100646335, 667049071, 275109108, 559466645, 667165834, 17901096, 483778646, 998993361, 639506355, 398652947, 477200670, 251345308, 485120687, 760555491, 608658687, 878561716, 186295480, 935556643, 709077341, 275105226, 840216610, 747915969, 930723246, 934055464, 75815597, 706623596, 251207138, 876418282, 1021335759, 834626470, 959231562, 287851966, 610838963, 236016698, 921223465, 942524648, 772677986, 1048620926, 224592604, 746671129, 853657972, 1025617926, 347568273, 918655963, 392342307, 562985687, 252345578, 501339294, 1026379948, 794812885, 364701017, 887418006, 209951733, 549983634, 194200496, 763184813, 821535983, 161976739, 130759169, 928498970, 757894091, 194311452, 494811290, 469593074, 26754400, 1070194157, 246939533, 180637824, 105656921, 883876968, 546986717, 574187689, 557478942, 442047424, 335260103, 697342041, 75947594, 752924030, 547850399, 56784729, 246314178, 500035158, 662353296, 439565113, 818923952, 406886258, 45663944, 500684439, 162969448, 839324179, 822160650, 325934780, 526808827, 830590246, 837035996, 101011844, 734448094, 77060177, 774369531, 570095007, 558387690, 912591814, 653791457, 928669567, 403920414, 927522221, 775853317, 214264864, 639535790, 1012764756, 424488438, 716967237, 439686640, 34247511, 863320199, 112402400, 497558941, 635795762, 589188768, 434596902, 869794734, 104935243, 53882479, 8415713, 1045767826, 919412860, 786126815, 199124478, 432235016, 68043851, 529007171, 910214212, 617592732, 492577134, 441342723, 590131408, 785524091, 120811969, 695726357, 675400184, 711199389, 426351429, 349807807, 64735337, 76693184, 204406381, 996160427, 272814539, 1026988355, 927876634, 53466134, 326170990, 354902737, 141411321, 827528240, 960398286, 691510553, 1042150940, 493706489, 887394505, 1005636399, 406994122, 136445769, 1010220875, 271217882, 1052766435, 70763006, 436451556, 920081207, 607230002, 851357009, 272019744, 70788539, 576656201, 620453378, 755415197, 64055500, 419200337, 642807054, 111737502, 743087434, 902254852, 976076805, 101931366, 550441645, 101776346, 632598338, 508157648, 500687997, 439283325, 289836067, 1040742431, 45389530, 877405393, 1708575, 119681190, 529821771, 783560253, 578078576, 753622504, 633591735, 567930167, 1050415839, 137546105, 465503608, 405955906, 735023248, 687298774, 50492766, 852347291, 684951641, 919900189, 991618602, 144953357, 804147951, 355775424, 510456892, 136706098, 1051850050, 748342499, 512679224, 900384155, 808058221, 167191549, 390578768, 24224404, 277665194, 72993859, 988581854, 429433584, 384327895, 703595720, 180989520, 387216226, 222297682, 872109530, 441069021, 964278564, 228313969, 390025651, 292274477, 694433276, 114723428, 911201563, 522132543, 971824841, 779536391, 123105904, 103677858, 918866154, 234944240, 298620257, 391521515, 352293594, 625060243, 458218062, 319702888, 891387625, 88462940, 810751114, 1029602804, 192295105, 253434948, 1031459143, 504272518, 421380878, 1026810138, 596019374, 355724331, 376679604, 400533279, 235025035, 431192200, 126245572, 270031292, 1019815063, 884709350, 426084683, 250060872, 228012297, 758972084, 128562950, 538678155, 544123432, 369080662, 968577638, 731718547, 478288871, 633186758, 835252152, 90550188, 100786903, 536656998, 87046319, 1057019807, 530118746, 128486249, 550380403, 920270405, 375044120, 214709626, 334235958, 509253850, 437779824, 356890706, 474144766, 612205505, 915112913, 1062720552, 163691010, 609951439, 381245715, 322769637, 428135056, 1019162197, 329273541, 852729539, 435606136, 989176563, 1010122054, 595926018, 659089971, 227438511, 291362998, 81490957, 254975793, 8052632, 348646284, 372443963, 705322977, 464293949, 1042775889, 667409598, 940799259, 769547301, 322231955, 448824974, 761795111, 804008875, 249609336, 988339509, 296317379, 860413509, 439736303, 788498902, 810983505, 487784436, 54881817, 881718312, 227330333, 465815225, 1034900916, 643041981, 354134290, 318377752, 635823957, 461319251, 400687696, 97964649, 443347748, 377159852, 181824097, 655630051, 1005717497, 602151068, 975648285, 719054114, 94530976, 239454604, 928422180, 319388175, 282601021, 121167721, 626913399, 754328143, 1039814416, 985049869, 553208038, 500623842, 770053641, 375262545, 599191481, 1006633353, 31983121, 683566176, 668945821, 788176354, 166919543, 516706989, 686042940, 410721409, 440206284, 396719237, 251165009, 869534664, 434161322, 726818068, 1008025073, 227837727, 182110632, 591598609, 77776305, 959723017, 78817893, 768595417, 204368073, 655999856, 913001526, 229442061, 333922307, 475594394, 1010953934, 848104592, 391144614, 654787971, 751377683, 113195292, 671795442, 182170031, 208274676, 712670389, 29378380, 568772804, 856589495, 152572375, 437988907, 943470297, 478293146, 14256895, 589799461, 743074565, 989688787, 206098503, 224661329, 825095875, 200755308, 308283533, 263345997, 180032665, 1025479553, 526580402, 300542877, 439944796, 255370695, 322536473, 650671903, 615839292, 1039769399, 92255035, 1048141734, 701284530, 595486616, 88869296, 761623082, 517335252, 239893257, 172672919, 1014004879, 1037990245, 101327363, 573612331, 524742155, 146904441, 959736285, 692557777, 1072891585, 897762601, 229786934, 59503757, 709068664, 751302114, 87116988, 822018077, 440539537, 519243513, 131159505, 66021319, 141126310, 888877365, 84616168, 330329338, 44484721, 89624563, 820281353, 433144219, 186541804, 902805419, 286813386, 537784377, 257278841, 377794421, 768528525, 500809353, 467903224, 193517434, 1073271763, 486554368, 723854949, 619994536, 797151322, 309564151, 408150866, 544304817, 818536200, 935557880, 755258889, 1006413633, 611743585, 164788342, 722505654, 650137086, 789063640, 788548710, 652985271, 332191395, 760535024, 1032325150, 1065024241, 366687852, 879891759, 1037368497, 639769891, 659051855, 189794005, 13565005, 999002866, 169653862, 468178733, 942907554, 886261070, 949601109, 1021689107, 380667000, 780305379, 1053090937, 326462493, 978125863, 835208899, 231723715, 51640921, 831242446, 324922245, 387318920, 711786491, 735264755, 65725402, 1026418818, 264014569, 131079084, 662404853, 692844589, 761117531, 1022447043, 944135870, 757913264, 675692095, 586193082, 2190678, 378008204, 1627691, 608174701, 816631630, 273659698, 999928949, 36123079, 604991639, 53241046, 49014740, 941683445, 859553142, 735735807, 29660470, 647979858, 197191068, 224638325, 11030398, 648505686, 385954895, 1005260116, 997223981, 857691547, 981264459, 979422250, 205150204, 133851057, 1035092403, 732131422, 752798202, 255614321, 914456465, 524230388, 288301029, 939152178, 110138017, 540614614, 206925208, 338650064, 348251477, 799420595, 493759958, 44439429, 937093074, 993069561, 405073371, 673474304, 761114303, 818283255, 372572332, 460830417, 174961478, 856160199, 795267759, 506852708, 56439454, 632876860, 897082489, 898913329, 426243174, 840989985, 244981807, 904665990, 1001063434, 1057635769, 679905643, 1071799218, 765913855, 1061996468, 586983104, 473291090, 593790253, 424221653, 392808218, 837067658, 426232700, 805576633, 716799247, 88674623, 5459104, 531732226, 305172516, 282666715, 698070098, 752637606, 398093594, 555219474, 1013988061, 55489130, 335524047, 54260268, 649308817, 784304676, 1066658187, 594291792, 132489223, 51022861, 475526, 318900081, 253490740, 750204823, 923784224, 503266610, 526985539, 1031147073, 1056930632, 411571015, 705824454, 762890382, 921518243, 941149046, 899061436, 618128438, 430305718, 63328752, 902357809, 377106045, 240844861, 737115886, 557530813, 712767994, 27595000, 847169656, 919220669, 617939622, 447041652, 746580110, 681785986, 535556777, 984352302, 221623679, 1067161028, 194413286, 887500482, 837968196, 335359592, 364648661, 1044889573, 367392309, 442469278, 511097849, 650611098, 103311015, 648897475, 123068313, 974509414, 1057791260, 707910822, 794304922, 23971268, 949573920, 1002924748, 826755885, 914536572, 1016393585, 295821090, 170829958, 573881489, 350490571, 275933191, 166691053, 892501386, 676340523, 140192060, 564638220, 113427238, 392440717, 63374764, 1000397295, 234233381, 376125121, 629379897, 237148802, 700604450, 370926882, 800876370, 184877833, 152116334, 475822334, 694311844, 85870731, 127126268, 584519988, 21299818, 324182360, 218195689, 448271572, 316651036, 764387640, 666053767, 641337208, 546225953, 420568173, 9470964, 43373402, 6460034, 238771697, 319199434, 726548602, 1049362308, 554905436, 435794712, 815489050, 89233660, 393711581, 1045447781, 417625155, 345717274, 236120663, 470018911, 176019969, 209866260, 256189283, 263679629, 814222077, 941558027, 672724611, 843074227, 479206998, 288821386, 973197203, 890869048, 270119844, 445016271, 962391203, 888792018, 1072075764, 519271056, 333164667, 46241357, 249131382, 707508431, 608837752, 1068331538, 287954500, 965837429, 33906590, 995035116, 490321056, 920571970, 341977654, 251233458, 268797907, 608486247, 567086904, 641946758, 620909125, 722695237, 561715635, 124888883, 711041427, 906589693, 1025643308, 813597176, 121598040, 93590446, 101343501, 71239042, 309804519, 879795010, 364859154, 557115883, 351789738, 320090226, 12404951, 453957675, 61896997, 537331777, 365892710, 741009766, 1071563239, 855090105, 448140017, 933059986, 44953723, 1404778, 113096657, 989789642, 544873736, 541967607, 895467353, 1043158670, 845986037, 877399737, 22898246, 431365783, 205096110, 104783232, 1033897339, 420515561, 371055279, 721022932, 207571346, 698299090, 509312869, 682549231, 741249595, 831679668, 596049754, 437731493, 847620871, 754781871, 107207553, 1029157031, 56960797, 812557152, 579767260, 49415718, 132644733, 597364741, 325818363, 56478194, 72529978, 631251145, 763616156, 1043450398, 365471110, 114419556, 937789457, 417405279, 1019138292, 20008054, 645885160, 153839601, 454048548, 98745079, 536837666, 184746802, 945472251, 22274976, 916997827, 946189513, 896819091, 677875929, 850125522, 709040800, 944274336, 765777978, 1069726687, 336117424, 302297831, 827313986, 802877579, 472014593, 929685905, 533640105, 1011368265, 733369084, 536075118, 505127547, 694919847, 134442428, 509769849, 628042642, 562027754, 23900349, 990092169, 493811113, 643470304, 429837726, 875536819, 632235943, 959422010, 411684932, 848370936, 342742431, 1063254855, 179576918, 478349027, 577054456, 46884567, 50387489, 293615222, 710982633, 720044837, 683142179, 431413604, 188297574, 959876645, 738182370, 307930790, 422981710, 629377601, 977208519, 859477721, 962636736, 483998234, 295111125, 828910862, 477870375, 963417656, 644758816, 930798150, 899289023, 116844221, 853862278, 233948894, 697835094, 168787219, 484191368, 680955023, 464937045, 705547127, 896667302, 194188607, 504222379, 725321363, 152621549, 247733014, 520062248, 661984454, 192593565, 304080802, 214952952, 457918689, 863441699, 30127461, 1021130595, 836081355, 1020470326, 531938926, 887060819, 532008789, 699401768, 412965185, 649461163, 449546969, 3268309, 845450103, 1027490705, 771408835, 968260911, 890305379, 274497988, 700713571, 574503945, 1013255183, 446053905, 65054226, 498222476, 885004881, 134901719, 867891098, 1043205581, 128502782, 937415815, 585294875, 216151757, 964048916, 191829024, 890804686, 869773849, 948267574, 340584869, 481058575, 755459151, 368346517, 859607619, 409186640, 643305284, 375743159, 72335719, 995066517, 619163873, 903451388, 456669431, 300694749, 588010258, 240223654, 452457676, 38939057, 349186535, 61711271, 182918988, 445798202, 951718340, 825438313, 479751252, 397675178, 122164652, 481001132, 314222336, 521679043, 858729943, 955094223, 666536524, 39981682, 918296638, 362009962, 530227385, 291172056, 544987048, 32048272, 162401411, 593137518, 855769847, 647168550, 483770488, 954874071, 465357487, 783440622, 979794557, 430747424, 112050794, 1013060995, 313985582, 404836328, 225590054, 924497819, 132873285, 69028634, 256209688, 798074341, 712450535, 359350722, 640535501, 741827724, 672775700, 585341420, 685917722, 78295823, 697947685, 653079188, 165266877, 990486346, 879532909, 600785792, 97181688, 772737178, 507724152, 272472543, 504418283, 556203033, 32455960, 583013257, 29355382, 618975147, 562621100, 553782625, 517331217, 21417200, 179918711, 521599636, 781060033, 179087078, 647161577, 776531922, 617711915, 841591985, 1016272187, 754733580, 386948664, 644152231, 842896140, 6624565, 710329462, 846578471, 1067586863, 441125795, 800379597, 559519043, 1030732599, 1040066438, 461544014, 165904855, 252656830, 300786262, 157312349, 251328670, 34128798, 375980801, 1045610723, 817947372, 983409197, 412007898, 895892678, 870686733, 103505987, 884859317, 737523527, 863192780, 841856853, 580687300, 300492491, 1008707080, 15500606, 658857088, 121787167, 671684107, 214214918, 582083730, 443466809, 249584703, 139585057, 671648436, 707620365, 628652295, 283810597, 47266234, 947378897, 519858929, 681592011, 411018742, 16555110, 10750011, 968177419, 700328084, 579024049, 539247893, 112683595, 518137642, 467041060, 471470835, 381548090, 398903768, 713851947, 702564133, 51469253, 512114440, 467880720, 1047767416, 94653262, 379703356, 203141051, 854444706, 903298303, 547308072, 625932572, 735892033, 375354652, 244311739, 16988782, 998016822, 701054869, 830244361, 130913300, 771343151, 511871245, 761175534, 428061250, 918916192, 586254125, 62565767, 105252058, 795939432, 1028479851, 764950964, 1016878588, 1064395938, 229199262, 487471797, 568954736, 19157070, 620872659, 694695952, 991207404, 815909219, 655297004, 110087449, 588569500, 469474990, 401418881, 876943277, 942361273, 536972971, 787507798, 1052319756, 806053851, 214044393, 216023411, 984620999, 1005627164, 147564853, 148883099, 1038594651, 795529550, 1008902820, 195468486, 973346938, 359162489, 61833662, 501756178, 479900056, 928934405, 71821044, 608447520, 1486996, 100935639, 388590541, 665893367, 339052745, 841929214, 1031795718, 579927282, 868435879, 979257719, 838939485, 551441346, 335044321, 748357193, 864461449, 405492072, 315005944, 507131992, 18789284, 561916947, 36253351, 403330631, 709680956, 113826691, 735462068, 674828688, 159824187, 916992706, 566781902, 675028233, 793513476, 329973114, 389526615, 40981317, 557986505, 982671876, 248055430, 592304558, 290861137, 951601601, 1024044029, 801613929, 631435211, 421298681, 1073189667, 194752781, 909636048, 901545686, 852600225, 813725851, 175038769, 450150060, 491096528, 578004320, 364416276, 833520506, 58261383, 170242790, 617299839, 318331674, 629616517, 31905254, 918559701, 483847355, 750246717, 626234226, 818302046, 1061556820, 109120318, 344674166, 851639650, 891485975, 1652087, 134402415, 1037214052, 293002898, 340356414, 527800669, 911418058, 417532977, 482254925, 893856725, 544202841, 776939629, 105738030, 47963349, 944793428, 407885011, 409630212, 551509422, 306919885, 223186313, 181729162, 835627799, 1023556261, 599547578, 493468566, 483636482, 130274598, 609265353, 303278064, 627265889, 964300793, 837783701, 46438203, 341764524, 728320663, 432478621, 582036528, 763093092, 547715454, 791178769, 907842045, 494888104, 821164122, 585291986, 367104334, 512999713, 913892629, 184891923, 738785367, 853411215, 782732858, 229397677, 366934485, 992721796, 806564863, 288073986, 67100887, 973209431, 920270702, 744115958, 686591109, 101141119, 331193065, 687753346, 992726342, 540415834, 384984285, 492527535, 357510643, 168102125, 792806981, 27808827, 282094077, 201705453, 477591097, 351192980, 141907734, 99768910, 10976585, 20491582, 2835086, 1063044234, 786230648, 549616563, 866788749, 500427798, 974967469, 986042741, 226814948, 408052888, 956167747, 431505368, 968659278, 918514146, 573285334, 290516162, 109321694, 841688039, 1068329819, 251905722, 57698714, 742911908, 152881764, 138432990, 155960712, 107278403, 292571805, 839216514, 874344142, 28633614, 1047028672, 843563722, 685396639, 379577854, 356644634, 383233216, 1042768261, 209588297, 246398713, 339163511, 743740617, 640851599, 841933224, 714741294, 116059647, 306693373, 182508316, 191226586, 501487129, 765121024, 1035054100, 589540946, 105184796, 1035649483, 92451488, 647617460, 4092061, 504702811, 604880521, 276903106, 1059319870, 704128597, 317237128, 412466566, 269665865, 513542904, 455018449, 305150547, 795650531, 249807082, 976396017, 974018524, 120812655, 1042048717, 855387705, 178624350, 162826915, 950834662, 906170703, 190624512, 921651589, 776775431, 930421658, 812485915, 624663989, 576178314, 1053742179, 299259150, 240386913, 892131394, 467976473, 311906027, 140291516, 614001130, 186528875, 440802554, 133465011, 446999189, 179969207, 584321895, 323918211, 344345603, 61929242, 225775587, 347921263, 708171966, 682429174, 543724454, 700966503, 923817296, 1060889018, 602212912, 845087928, 956856798, 709195947, 882463375, 245882945, 878271418, 1028892139, 323691814, 686233173, 733577069, 824039518, 787982418, 486613185, 411435257, 350650379, 746401499, 229565230, 670355145, 478629999, 379994009, 338847155, 43016348, 167026425, 28350893, 954943858, 382622844, 689669410, 55479911, 402388994, 104533497, 582936174, 277750428, 984279066, 823100298, 295912501, 502846216, 20931220, 530571520, 167674364, 506326213, 432834376, 877474172, 3792497, 588608664, 687412402, 1047600718, 159403778, 201780492, 643737029, 247427198, 398564467, 362146321, 978087785, 1012357977, 183228010, 151886437, 870239411, 544832730, 356282265, 986764412, 340872159, 404062539, 450129246, 890868741, 239580513, 334711427, 373000760, 706560240, 917244121, 562073796, 212750551, 137258905, 130158820, 451367406, 250074228, 605629354, 255364438, 874829220, 329496546, 976667801, 414182304, 162552783, 199489914, 68793082, 498731569, 650483063, 825937923, 299542309, 401877077, 566750355, 970496470, 183766210, 799623453, 946455745, 968956798, 712886167, 604332056, 456558639, 1014729903, 118395708, 580442814, 1000540261, 171734531, 790984623, 88829546, 561183493, 852509996, 736013039, 432947359, 1017304394, 882723876, 108626348, 340236543, 299314075, 731169893, 936063212, 984540383, 61393103, 53717642, 320437182, 691565815, 338427714, 822253790, 6695928, 598006452, 422114192, 954676194, 470217636, 402405861, 586291127, 300663640, 573126051, 595564533, 746871423, 943779462, 141735748, 225699571, 492152704, 1018594428, 956305970, 550211196, 923984709, 137308838, 308177678, 724674536, 144528971, 354984218, 427573692, 202209032, 650701880, 338584386, 69507630, 819017668, 685855745, 508968152, 422580834, 287627641, 100269273, 775217268, 189542771, 709585429, 290701193, 279222022, 7279315, 1006497055, 236180868, 709499938, 122176616, 914609914, 888462963, 846392222, 748489304, 1016883625, 251833703, 349392424, 332592166, 58103229, 139119029, 443461433, 188566775, 125598806, 113300166, 30622616, 529104769, 615767860, 87473152, 1002997319, 504033237, 85511729, 433003065, 146738038, 987208922, 459511635, 781400743, 232007693, 907101724, 893240617, 1046237902, 417030958, 582733653, 493517409, 445052493, 659515847, 490824727, 708601619, 125254170, 550475079, 471502023, 164453749, 225218061, 342595394, 808542111, 21330220, 126602634, 278498739, 707731681, 1028919397, 231064181, 933543398, 623445662, 923054604, 604592734, 510270242, 995159327, 685794875, 797571736, 239828935, 669712144, 451151740, 516248641, 70298171, 258439598, 917550302, 155632555, 979000653, 48401403, 906817376, 673419824, 661264079, 44423386, 438860287, 492544547, 440816538, 492896289, 480180965, 683586603, 354026496, 206662500, 288392272, 349859185, 479887855, 199077694, 291582402, 290409026, 46781293, 969552392, 600835534, 145174884, 922991774, 363529308, 899201623, 876131342, 672435291, 28928973, 452874306, 1004883961, 321194542, 751803056, 164274003, 323651357, 117636477, 146639277, 3602968, 447569471, 889888977, 973933216, 76244071, 955227871, 1021845230, 476229618, 409859959, 136949810, 1059617459, 80583592, 733103078, 720215356, 200619353, 404512543, 594774250, 142328604, 564983699, 613293791, 897141598, 63512692, 40875364, 74684434, 744904905, 720932941, 1022291750, 815801468, 100533875, 200687323, 881572173, 833123123, 251343989, 579155035, 217102249, 325932896, 538126087, 399266330, 415882472, 233657023, 1055818319, 49699522, 577484840, 98607373, 616072406, 109561920, 918498916, 172378945, 678864237, 894636374, 375865338, 771965552, 921189001, 276160584, 908213524, 272932269, 183854242, 299539993, 982309140, 3636903, 1030185686, 54807341, 846020811, 1005791279, 388307098, 579642605, 581820504, 355412051, 735243974, 82131560, 81014057, 733082419, 565103574, 644049836, 376901321, 944117097, 719633268, 502284639, 40093480, 744500300, 593575333, 517498481, 114807133, 483422837, 825621451, 132022100, 13340150, 111638334, 948674018, 406614751, 654436646, 190653421, 983041101, 1054785708, 867996902, 59241786, 14785332, 1055247032, 5249446, 903034252, 60205725, 862427508, 437966767, 32052325, 920189211, 664959587, 155644191, 237908639, 1049392851, 190992531, 724338744, 1051061871, 1064053341, 221811131, 710681339, 491152633, 362676855, 914880257, 893390909, 380859623, 459673805, 1044185622, 199728379, 235040486, 201171529, 49925716, 844296594, 946755906, 672450899, 251847948, 721452240, 710940431, 508917552, 702826543, 173084817, 295777562, 621242388, 622292088, 72848034, 612112720, 789646077, 305278341, 800702017, 826572841, 960127649, 602057112, 1026070953, 392731367, 856916119, 407834321, 86402621, 232868381, 371653547, 206059063, 986449055, 878057190, 328197213, 144953028, 1027590286, 917070848, 664526736, 61734533, 125332924, 651804375, 128017537, 19127224, 756335360, 405690029, 342693232, 842913123, 349252598, 1007334383, 447339824, 122209110, 685186172, 457705041, 960846620, 340329209, 592214818, 1064333281, 285589230, 17196690, 609432558, 455175634, 666000657, 600327621, 913081421, 458353446, 406464287, 1021934725, 935068666, 312695346, 72164442, 117281873, 633969987, 235519191, 928890884, 668608217, 683603716, 419640960, 567116988, 458876481, 317405805, 521320765, 520588733, 10376992, 130230465, 729821713, 193556336, 917058118, 460689707, 264050161, 320427314, 78600455, 556691761, 394096216, 646271336, 361499374, 582951342, 506369625, 240532466, 739434206, 383266317, 94931739, 975328061, 393678397, 1014297986, 618177741, 397776277, 34921757, 304411805, 396534600, 517045119, 527316002, 682016951, 741031043, 162567938, 575703966, 271903239, 946019165, 595587126, 890840591, 154811215, 702319772, 36479898, 958058407, 346539288, 1065008240, 674245376, 242059980, 1030184867, 276208785, 657217986, 730241206, 903218322, 399746538, 809502071, 265232841, 57133544, 916658187, 1040630003, 926314699, 566411617, 148397458, 220615892, 17399264, 256940954, 158163693, 549295776, 848431883, 77349067, 106879658, 709245297, 854301575, 973895913, 254749415, 530615542, 652241340, 985546559, 138080659, 741744785, 894949576, 885903268, 528991622, 370998820, 304374261, 647550022, 746209670, 987107054, 481950439, 349238783, 253104090, 64536734, 204684031, 419187393, 1022440448, 347989627, 422590275, 6217896, 941204437, 858722778, 865850272, 142609315, 234298274, 299472410, 77818983, 809029933, 388280151, 679326266, 291405393, 21569214, 957488647, 1017784129, 1062571150, 1047954919, 986662996, 791193554, 397016879, 616215007, 545471489, 651781218, 317894196, 483932777, 71758227, 650942856, 662066413, 751425055, 857012847, 451510563, 589414199, 418193049, 418100274, 653216122, 919584779, 1018120944, 1052901893, 280230675, 951716976, 739267744, 944792329, 1054651736, 613912327, 761455756, 595065914, 414489044, 574620715, 680777048, 358571730, 964787070, 946525113, 717615813, 1017768533, 247982747, 1024827438, 310174248, 145943548, 638149955, 106557854, 904102612, 693655932, 721440044, 618771364, 172010607, 1037654269, 347396948, 671030131, 378635764, 866541284, 698735420, 324993497, 973835026, 407913154, 449087681, 373058145, 896224702, 42823094, 862251526, 140835270, 589483108, 235135855, 18095969, 613320886, 47346229, 390371034, 752193809, 849815171, 96676839, 821944553, 946508249, 301894413, 977474887, 619662001, 319439031, 438122702, 398379406, 498722975, 374090297, 676598918, 399817455, 841479886, 927917396, 1071687431, 1051492796, 1055480682, 517815300, 278521937, 370236931, 363747893, 391770701, 711945747, 131108526, 853820836, 577906699, 206874677, 268928850, 221500403, 70782557, 524874013, 240318169, 478385584, 607871577, 561265020, 485630311, 49814464, 273376948, 275754739, 328489055, 625447281, 131172410, 1065377728, 1019154907, 840275629, 903542728, 819371649, 420279789, 832749885, 663535128, 409559140, 267697406, 115709211, 256846959, 91130326, 971526017, 508607869, 919452106, 553742746, 251164563, 250212564, 519989334, 43621777, 1004553186, 18369682, 281560358, 5786595, 633513936, 968462725, 766892018, 221394815, 1037680109, 220612185, 841556140, 316894613, 1058042152, 682737306, 976616192, 971225118, 273540632, 992553112, 219175226, 373087443, 1049634071, 110287914, 399000269, 468810310, 542462114, 1065281309, 800315650, 210986266, 448894570, 697963216, 465740665, 1037624218, 309608344, 595946525, 848640862, 463803814, 655867046, 744625867, 69132790, 950807978, 16267344, 409913994, 350925208, 660455945, 401011707, 857580565, 841571209, 672281288, 273348434, 914738557, 832988677, 610030274, 856089695, 191260444, 232871498, 643283300, 1012260237, 500004658, 405989000, 882997720, 271485375, 188359698, 342321060, 93952909, 462046362, 517643582, 761545256, 1001146907, 279922899, 748101397, 627242248, 541997774, 768001422, 224075168, 233629555, 128900315, 788822484, 614130385, 968287039, 18489223, 951060427, 648167844, 691165666, 882960812, 360448157, 179296580, 520145909, 639829445, 125670338, 310936956, 669528707, 973967841, 425718370, 149535460, 1051140443, 33579922, 1036976502, 441358216, 399235128, 8372289, 1020704797, 56600738, 905578269, 636761243, 387446268, 464721696, 651633738, 763369982, 195225074, 739423928, 200828582, 85480198, 707976285, 78529357, 214627408, 283543395, 933774196, 640189016, 667200550, 946541601, 159663523, 536784310, 501450551, 1030200723, 738217005, 657284419, 68779419, 466601521, 190273489, 640998695, 283652402, 715240157, 34343953, 4424760, 1013662555, 242304615, 107633635, 17729982, 123396366, 324683841, 317378449, 945157570, 659722899, 245480700, 371663632, 10956285, 495760397, 95710923, 131354330, 246371495, 1714848, 860586011, 529260731, 439994599, 668266770, 775143774, 682773804, 684497612, 949999695, 348480222, 370218929, 1068036366, 491642350, 101345104, 1038044852, 935531454, 618242747, 988515128, 188375438, 404997397, 956148352, 286143836, 521199316, 907954142, 491210396, 497579979, 579808495, 204085208, 375345850, 678772818, 137567915, 809055410, 704817257, 59639590, 580045427, 685463556, 595680430, 74455939, 635858023, 104986830, 192299451, 577187253, 75443559, 570582382, 791664836, 445540933, 982353945, 24219649, 66755743, 733795543, 325199421, 686502148, 121204667, 390734270, 777740336, 1064741890, 419597163, 784322, 332747334, 473928441, 747312659, 1036279489, 423007381, 127122663, 813493398, 1014338355, 1006761378, 318180041, 464678223, 609106639, 330797293, 129383092, 203629753, 622263511, 214707514, 93107642, 202405128, 893462356, 62717996, 1016975290, 16503082, 532986456, 657797310, 495248292, 1072791218, 280835806, 52185158, 620734598, 1023450153, 935309283, 345890832, 788196665, 754567648, 993287406, 590885484, 103694489, 292592468, 158323408, 59603352, 403062399, 389314830, 949854264, 853641559, 591948688, 827404536, 426609, 87323743, 402154759, 729141369, 459578981, 1063479866, 854864252, 931102829, 651214910, 274137285, 794173905, 487002823, 853672535, 997718589, 189722067, 967330464, 847511170, 761433228, 702201587, 818081617, 913519734, 689381661, 263751229, 492066072, 330991203, 501188785, 44515903, 747814796, 165230453, 257599681, 380214924, 944376283, 923600951, 874257374, 1018442848, 277209006, 346060830, 682938968, 909612601, 619451804, 515437969, 9506811, 865919992, 327693355, 479786571, 361555250, 566997715, 60355026, 125885811, 1053619, 430064287, 285461705, 138061786, 839688127, 504467401, 296844854, 209867731, 634298754, 916937424, 891794368, 380581119, 348467689, 161234080, 469172987, 645638575, 854054759, 864787811, 195595968, 735224782, 722414287, 772907578, 112071860, 754332736, 594049807, 214694711, 379538501, 2816280, 782967026, 215793137, 153327149, 577591116, 84884885, 427431178, 199765695, 971916742, 808567368, 485555353, 56287635, 710992733, 732773071, 461810736, 581595618, 237889099, 643172431, 623423990, 890302030, 1036339163, 549955474, 791525108, 637658685, 745411030, 228862385, 156404970, 954346793, 1002768062, 319895043, 81548693, 243725881, 451310576, 31391269, 291076267, 44163127, 292990856, 402500755, 752569146, 480572806, 145336261, 735243816, 387661904, 346756875, 762572079, 261218782, 1048550768, 440815545, 861232451, 485189671, 157891520, 952185464, 122702217, 962773701, 492725697, 632506989, 27986921, 164152950, 80900814, 537035410, 648317143, 982158560, 113650129, 1026056508, 539405615, 293533019, 76167847, 1050199194, 172133319, 282658091, 962873044, 691215584, 679374511, 859606402, 638165169, 232914762, 899458444, 734577370, 129593158, 166321957, 568782608, 949575840, 95543070, 638616394, 117363106, 284979784, 961140518, 937736472, 664594855, 144514832, 1067719262, 746354202, 350936734, 822983801, 49950602, 775228060, 603031127, 455589481, 384247398, 3598168, 21445043, 798966970, 634668589, 933643373, 57082631, 449385653, 616483260, 302542554, 24241045, 785377713, 723672859, 779712086, 65241151, 352460138, 186998310, 445812746, 903565244, 149663660, 800737039, 987563021, 730733891, 805487366, 697209539, 241245995, 1071573891, 11190826, 83250597, 840232816, 346490785, 610873604, 253106754, 815780515, 792783026, 425968420, 249748179, 566100875, 555368184, 610971143, 578683264, 427483447, 10636012, 601311367, 699833780, 389189343, 686042103, 277698085, 209173680, 240951554, 854129421, 102537879, 728945823, 642217398, 1024682270, 566199963, 923592022, 260308332, 493636664, 129658453, 96995358, 45813572, 792561177, 966009687, 315435937, 860589957, 378770340, 702342969, 381235195, 576004916, 329846483, 541070385, 271705180, 937772801, 875969921, 270544377, 640576835, 303393972, 661573652, 261792626, 246627893, 984525299, 849908100, 966511685, 539142652, 476640119, 290759394, 808544239, 1072459204, 954423601, 594246261, 3070677, 711835590, 1063164778, 923887932, 1002951850, 596665706, 646993008, 713005113, 178134394, 917006440, 25950563, 859910010, 393722278, 271226827, 833835577, 298014200, 436176659, 427516542, 406183673, 1012836503, 420110731, 640641169, 594587531, 18278123, 943539998, 897720882, 967968182, 21857954, 531108297, 30500587, 436092407, 369575857, 790729236, 114857067, 874862640, 994796620, 85085238, 774600245, 970197837, 453421542, 197338296, 52467911, 444870800, 341910187, 580009705, 297838162, 343829123, 81948764, 1003794003, 737664856, 633418427, 733870087, 841543361, 310848742, 464469693, 744730481, 892695864, 507975276, 1050145124, 946713483, 429549116, 555907285, 736149807, 91275074, 329484875, 93435137, 1069241844, 956296711, 708128839, 860455235, 349722992, 525339264, 276323059, 771650505, 357409838, 334547311, 530524461, 911504529, 253143198, 590993175, 399413178, 1033091521, 431289313, 933282556, 590649031, 941779260, 282546778, 245816992, 1050734608, 898911665, 391680844, 338598665, 117853779, 1015241400, 789720789, 242167210, 928823486, 184144655, 535084521, 819584665, 436680511, 734893630, 100434575, 209403050, 164128919, 869273985, 598429062, 572618318, 562594952, 509453659, 585318032, 216774056, 548548072, 690196306, 261814069, 622134575, 384784234, 53348247, 1058311334, 727203520, 898980069, 990684785, 825162493, 763096663, 777528804, 782672038, 781629874, 399142586, 433457517, 726167184, 725510273, 277410223, 292051952, 1045263435, 426648814, 580396384, 899296781, 708847123, 1033176885, 741327400, 200891556, 317606492, 860113498, 468813101, 41920927, 338640733, 95134232, 380441169, 1034563312, 42350777, 778450079, 332817067, 791896785, 360162175, 359474637, 124911607, 482272617, 324671206, 837815341, 580178606, 325158521, 953879760, 550793960, 292173535, 987225244, 1066484384, 615267197, 121411560, 319671937, 59477445, 1011667181, 641729633, 24049799, 373497623, 87552011, 825638377, 936612284, 880524236, 865366805, 767647385, 780307219, 1056503467, 947523567, 981978332, 474783503, 316093082, 49088187, 282342482, 711166903, 597233064, 391725615, 320897219, 1048841956, 855164838, 715315384, 191953670, 437208033, 416735867, 235128612, 214102363, 218523836, 624561378, 17539528, 255301478, 699610449, 190043769, 81342212, 630831132, 43182079, 819908942, 992509127, 74510721, 875162350, 554413236, 229083607, 993882696, 613538778, 604153321, 652162387, 744396569, 377405651, 425130264, 207136761, 622416638, 570606049, 17706578, 390122552, 1005708079, 1066008811, 662488806, 1055574188, 304892221, 212973663, 577614533, 82985224, 976511993, 572536321, 484728446, 710270888, 571773951, 227087628, 509440176, 989357818, 17406029, 340768123, 20771282, 709314385, 557901612, 717107819, 835651488, 57084605, 64145122, 104632898, 24537783, 865734515, 611950323, 138873736, 473049903, 465188834, 675598926, 1003587737, 72498346, 525736083, 318290964, 147670085, 456636023, 263439384, 7981635, 771161050, 20767111, 804233512, 572554922, 167231296, 116118452, 858448956, 586941609, 435180816, 805922273, 590880671, 1071563293, 219945519, 634418165, 107592770, 243981644, 206871415, 958072915, 87843936, 813026063, 26893588, 213365113, 788373591, 321871783, 1033630586, 268749641, 549143152, 971901538, 513158645, 42835603, 1067363068, 1068458508, 802757434, 801473949, 57477664, 778995557, 1016135501, 544452886, 963628520, 472280777, 297835950, 1023574219, 61701619, 183042705, 673000954, 723303989, 900596162, 979903805, 540629209, 918597242, 360159000, 327183989, 187719591, 152965827, 770350872, 408900538, 658964698, 790994637, 213280043, 920706189, 867314195, 821557847, 911759151, 1054571456, 96130992, 775334333, 669525559, 235812919, 671999574, 808118602, 484382925, 330711472, 82688565, 692046936, 514598942, 663086628, 302642639, 782280194, 12025578, 502449622, 292398125, 1010808285, 936155492, 640846230, 393738278, 40674142, 348552440, 495721460, 645785261, 534533972, 687223214, 797780437, 302494390, 634841335, 881470723, 1019636755, 920322181, 207405104, 238900099, 971161011, 639202671, 226583375, 945606124, 501871572, 544679513, 880666048, 958171861, 867536714, 174545494, 674309281, 1062960261, 993949418, 851695303, 98446600, 41418286, 211125812, 624871384, 1011566091, 834746074, 1049584434, 501215542, 592029836, 776810732, 442703046, 231780832, 75558409, 711127141, 904700500, 772244626, 867031774, 301086925, 957699160, 500876252, 610687799, 143398795, 841533005, 117075378, 667799367, 179970623, 331237493, 748529574, 1060813318, 57248175, 376158695, 607254839, 1015799721, 1043427586, 98504537, 625680348, 192150435, 1049532720, 709597649, 741604011, 230567441, 729338429, 373738788, 57582560, 493907685, 636004142, 1032013100, 979592673, 872436393, 490823485, 87770963, 158628549, 413061426, 833794304, 833676031, 1015744310, 747520623, 196521013, 950244629, 966745442, 236735531, 20482088, 1042669376, 784313562, 96128934, 999870216, 695357295, 128617863, 1018207002, 990774830, 624328611, 557534910, 983593859, 153184815, 142056340, 30125338, 907630332, 255090021, 807711038, 346778502, 899130565, 460857682, 490320488, 1046693202, 416145309, 975629011, 109946186, 32530367, 960173229, 727708212, 608308277, 751687191, 1042272869, 80603120, 687094950, 119673333, 451774583, 905150657, 642295666, 274524104, 851881708, 498957552, 757769967, 982014825, 158089303, 663158380, 65674376, 580606044, 621995486, 665972205, 337894131, 421504656, 165512298, 1073587917, 925448445, 178066071, 659626443, 666959391, 108060312, 9369599, 215263672, 473714991, 540546904, 321667571, 959662004, 944446024, 609933578, 474847365, 685900567, 426502612, 1025656618, 430552935, 328363378, 517190189, 64049860, 276771072, 1054382069, 25415812, 677725923, 395915648, 427443174, 175248233, 1043380371, 627068903, 186441960, 321959345, 11127669, 448918244, 391066668, 370532164, 199488596, 664202321, 428227518, 965417543, 657687288, 828399671, 673729213, 326042180, 82118235, 265840096, 570549907, 336018974, 483487641, 816754816, 551247192, 863009628, 73969914, 232021454, 668740492, 235279971, 654985236, 438586866, 567640983, 577519091, 629834061, 826730171, 12154243, 516712976, 635181129, 800998711, 837703204, 1040991324, 669049702, 15001403, 18937255, 127643775, 207374974, 175849083, 603859245, 222388406, 363924909, 151209504, 457653292, 205040332, 150799177, 515846248, 284005103, 873908029, 639302263, 635086849, 106135657, 45135924, 667293828, 221220272, 93503034, 92853352, 776957347, 75382579, 870951005, 871526154, 190803111, 1043016063, 424353691, 563328554, 492675261, 908074298, 356887693, 814501004, 324268005, 742263421, 108399340, 982617133, 813668683, 211591554, 39624257, 51403922, 103186056, 310504370, 921293553, 484928251, 286288313, 596250004, 59078256, 266500441, 578676824, 260706086, 910570920, 250028661, 787582871, 429421194, 567891725, 905544777, 44002945, 217805179, 388556633, 63189114, 179132093, 718913872, 309656647, 250171757, 735003190, 862978296, 189674799, 551728382, 570174344, 1006378507, 9722417, 442225396, 881947656, 923100007, 263390571, 397096814, 714582566, 577053150, 637826837, 755709135, 136778250, 156127323, 108334811, 952826035, 857345607, 359209898, 558236042, 643092800, 913821839, 341873779, 729016254, 1030277622, 733642559, 760511833, 5902713, 576320342, 454067103, 253011968, 239977641, 733467074, 17934462, 879323131, 866084120, 923512616, 644383580, 68960263, 531741710, 16241040, 197965318, 815615972, 489390344, 1044401110, 977615609, 32441041, 450629104, 298983130, 141457179, 1020663411, 552935457, 10499399, 568235144, 33339199, 731556806, 711604928, 289288501, 562664614, 947594945, 183945445, 246572115, 426476813, 293824442, 156464431, 995400225, 708267770, 997028394, 279100612, 674226171, 752165692, 488476967, 104069176, 119726871, 926815059, 364410577, 963216503, 234808842, 55317162, 443167717, 628138068, 279015397, 616494562, 1068759299, 486690133, 456780079, 820724687, 325312460, 308682059, 900545435, 788347931, 490679900, 852986532, 1023750454, 427314422, 126738310, 931701367, 144492095, 782179570, 454112050, 911398762, 938611348, 566606652, 635726118, 422031931, 184824429, 263004148, 593447777, 1052797515, 603168854, 424702304, 119218777, 68558586, 96420317, 648138428, 31131048, 176958014, 754812634, 249444942, 639135552, 697680421, 958321005, 529131491, 810501964, 1041132164, 24361923, 498087116, 362534811, 585172158, 2138889, 153527812, 177853280, 247542188, 519164882, 398808528, 746127883, 275188411, 325429150, 283237642, 930846155, 189922182, 531508050, 891170722, 609608028, 407856532, 618574371, 870796083, 869053707, 830320290, 185589628, 453794195, 222697934, 439430767, 895108072, 402706726, 906703061, 662037541, 931374781, 62103920, 1011885435, 593286303, 919386839, 25014161, 1069018351, 783730174, 450438533, 694159169, 203455871, 212784754, 601043206, 160804521, 879882020, 279734959, 767237879, 607868301, 432409545, 727344140, 1035689959, 131065276, 6146450, 801061124, 641156275, 316902636, 892260099, 1032999648, 1016646574, 139440905, 1072313521, 557293018, 944333290, 837691260, 690578889, 809835991, 433587270, 768186734, 317654435, 779876261, 990005104, 835993300, 1034112788, 881144104, 285749142, 1030646153, 827019375, 697024774, 598463262, 865525548, 670545487, 49288721, 890695869, 923273586, 983067160, 464147564, 783954373, 74281922, 330267730, 265577413, 990052200, 183702248, 105302218, 1050584997, 772237075, 871607337, 863538452, 178275778, 522912894, 796389588, 774011225, 503145551, 306385158, 94639381, 1010424396, 1002595712, 122532160, 874325050, 796674670, 264534440, 610425254, 310093147, 777129499, 287513641, 188579785, 307410524, 74431245, 305526570, 137591947, 386687369, 295171497, 850658555, 396687395, 395604141, 769531270, 656371733, 446350253, 992183162, 991427524, 1055353626, 142305871, 442212711, 934069760, 693253463, 398646514, 776361562, 511005574, 1047771485, 1042868409, 213554667, 939553634, 95197950, 462950313, 503742924, 267081032, 369583321, 235147640, 91566228, 54088464, 735243829, 671863851, 676558457, 684895489, 601922827, 236064120, 835649360, 236104864, 833022206, 627487400, 505345959, 482120282, 692230623, 915589326, 294923930, 356436739, 1014143360, 764401139, 496175360, 381211563, 982997279, 62690076, 236351735, 172104515, 118527441, 355554334, 1050816350, 709556310, 594861281, 577871384, 561780472, 579346170, 557080183, 70815690, 382817464, 934329522, 929916592, 358835204, 835036963, 496547866, 805643416, 96517211, 216923484, 408225473, 6701994, 997397857, 190023327, 1049670838, 655534090, 285054309, 4597182, 442092472, 373691190, 682550319, 611505361, 460328127, 764093716, 726718364, 987579925, 728404853, 477715051, 428848469, 352940767, 68383907, 435020167, 832037245, 287941718, 1009793000, 802050591, 180094474, 696459105, 793172956, 659930125, 179785894, 631526516, 755284798, 418662234, 357049896, 905857839, 287825619, 60982919, 1054631667, 1068229081, 98062519, 707973827, 1072781413, 542012511, 245210239, 899417878, 59200770, 815336034, 337147139, 523527865, 742264675, 982022113, 493783706, 191709850, 575101913, 775794779, 1035035560, 126095642, 316872244, 163972216, 25947386, 654427734, 531395781, 4201028, 758996566, 1014572901, 149719074, 1012795805, 26418790, 542982472, 851931572, 705247714, 965840083, 869863022, 310452891, 57968300, 633921471, 725604432, 898871633, 772257747, 142580764, 526776887, 1028581519, 637311818, 617974934, 648053854, 814648241, 386508978, 591983470, 884829685, 552829360, 840695229, 457334167, 915630514, 498765909, 203865083, 391981203, 32140624, 201001382, 796930506, 732161588, 499781897, 623376086, 241908971, 851758878, 172106558, 16658866, 325006525, 460698677, 110723630, 96540478, 341160925, 1009432501, 629303392, 339026402, 737582682, 643328449, 174476224, 831707923, 136854467, 552170539, 923204891, 336901865, 850068772, 246503080, 771662816, 469249387, 586658248, 1068668570, 194508940, 434364452, 192438550, 256389398, 768573887, 459844651, 83225070, 1051591970, 259383222, 71752598, 351578968, 41555092, 84516839, 612907966, 838132612, 1048181169, 570683801, 718441605, 54796940, 1056656665, 959284306, 838773447, 926259441, 59272873, 424349140, 552673993, 756684332, 705044622, 747310124, 847942335, 1031711638, 967190630, 836760279, 198151678, 415756567, 1017245266, 218987220, 870877902, 263347375, 7775085, 813724695, 975328153, 219030989, 658274728, 553291938, 216709542, 782236936, 644757896, 850838741, 88395268, 796248048, 864435342, 806024356, 583140360, 341215460, 408711122, 1034496930, 170327432, 666203785, 268683218, 298249566, 973661293, 414763441, 353297471, 862709219, 801301360, 814185438, 352716211, 618832041, 409532264, 217367296, 403852742, 276788179, 262963684, 708793287, 246725393, 662692790, 488630810, 489740768, 732739356, 525112206, 17455375, 972406691, 310885219, 430521204, 637733962, 1030987838, 577365346, 950610322, 628735197, 147572662, 140034558, 426245252, 343909015, 271836654, 75639483, 54992183, 990155099, 112170664, 890545972, 629223035, 1057980178, 147575500, 899575379, 394602632, 81952193, 71993438, 196478091, 76758475, 203584124, 272302517, 181093992, 76798849, 955404115, 220402834, 775834193, 682241896, 938398656, 869131505, 139387632, 856712671, 379238982, 855332175, 465809170, 350274347, 347616585, 1056881483, 761150514, 818625132, 836780702, 525694664, 38783707, 910470794, 344375056, 418386793, 49766703, 203342280, 847744394, 333123924, 825115015, 856041514, 1063747147, 188558514, 91604183, 290067519, 294584948, 381082702, 375389286, 654100060, 1069459690, 243733680, 902774347, 631056351, 158889561, 408663286, 66044045, 500630377, 343523439, 1005620888, 849208403, 312680470, 577467370, 838476747, 56391271, 792046613, 300236428, 11021062, 204015168, 360273695, 923489456, 1043593410, 281386609, 102104684, 45052545, 846436046, 744771705, 506325648, 521241945, 959146233, 86900813, 18038932, 779828687, 1026673708, 63393593, 126576183, 419383934, 971356184, 922362159, 986820214, 467060737, 775989793, 663292122, 656713340, 568324831, 492924164, 583968484, 550058339, 535492539, 55059885, 727256730, 78725125, 868512616, 1044384678, 936112719, 766643107, 316106463, 269747478, 487758539, 928192400, 513767959, 166807154, 31190843, 586520908, 736238336, 251999899, 524560772, 256869146, 1069076148, 293810696, 22823517, 938890536, 238570187, 105063259, 70140553, 261478671, 1013856783, 171725706, 273186126, 369013762, 852031481, 96600949, 863346249, 748260958, 467173082, 472897015, 846011372, 828303918, 378976037, 743980677, 292070608, 761941447, 993301187, 60318187, 867562952, 525361194, 929229021, 354770782, 18816823, 548312284, 79475226, 1028754760, 664680919, 768763907, 490455672, 824910359, 179485634, 774467813, 610990579, 119381599, 246647802, 970399114, 543452171, 754045383, 263574965, 507886388, 29908171, 393213624, 394686917, 606928121, 297525875, 606271194, 849580798, 661387768, 258454867, 86232679, 165674295, 181387069, 365042727, 782794529, 735931088, 528205132, 594808423, 485059799, 780555991, 332522761, 260876388, 1071283425, 751068841, 598569535, 356644856, 773324938, 882453345, 258849971, 139160306, 480544547, 729886286, 314657329, 514008296, 907426775, 593608645, 116195947, 951167508, 336552215, 525854893, 707169051, 860529475, 809096086, 994130918, 498302387, 702892403, 199713969, 553983373, 72408969, 24450695, 248488852, 481593896, 781092541, 625591563, 703575771, 433293060, 752085483, 49169266, 550978945, 107946653, 208495465, 622560536, 411999378, 561665207, 844943567, 173903635, 274165637, 941926464, 151035260, 322812072, 247836906, 163325484, 746637821, 911635548, 104048353, 344498451, 296813247, 780295025, 404449745, 861358842, 687978226, 243373858, 822542159, 444092856, 85800137, 704654389, 846573257, 727023739, 485725797, 1023265579, 365552999, 2126907, 1028894295, 1027798402, 739607675, 959070594, 862942193, 308884008, 633651564, 915538373, 203156728, 764479903, 100794826, 132122477, 134744358, 980928856, 73662243, 91924559, 685679887, 390993887, 214564619, 782741189, 332567434, 984543195, 109558686, 37959959, 409692602, 309138502, 217756526, 856571661, 359769565, 112824269, 118267022, 821006924, 417581275, 588265077, 256994154, 814630554, 158100496, 598044411, 992644868, 488635124, 652185376, 1037811368, 510964175, 947313217, 256137113, 775165774, 748953209, 519221529, 779326914, 883433905, 830553003, 960488150, 121730291, 860994193, 262263251, 876684105, 535743529, 272640044, 765228576, 1036514778, 462336203, 349818339, 512506512, 412275113, 110997174, 1004964156, 912414075, 1068343673, 203980790, 852421060, 974077435, 431305456, 972010527, 1067866610, 1018185946, 461232915, 799909510, 335409869, 299074223, 827094989, 812755923, 949699454, 714516390, 52545166, 790746194, 347676553, 325313001, 84069079, 1019077830, 472552284, 457122226, 315379711, 400450927, 803796840, 152030154, 890536666, 430609109, 522154180, 345096042, 654798383, 1001437471, 53672104, 848717763, 210955183, 366581566, 627027448, 362080362, 841290085, 1066281611, 854838268, 271083756, 560681775, 87810439, 841403788, 587160567, 337060989, 206462491, 774461384, 744146124, 27112749, 836590669, 1006893796, 1026553546, 1025124321, 1069172482, 976517461, 79125063, 329685542, 498753743, 210201293, 472410630, 668002524, 730297952, 397626574, 946507069, 170391179, 1049303008, 742041990, 880232556, 101371963, 433711993, 594792387, 273530691, 312058125, 767648582, 970106180, 938093790, 581414439, 160827987, 737359545, 696109889, 123378535, 668272591, 773376239, 352008734, 167057876, 48776101, 378975624, 166596959, 1045635887, 730527388, 909364348, 494370303, 670941835, 873023614, 572621136, 323201751, 839751883, 611779177, 555713152, 622757530, 94996314, 320941554, 547665989, 705136614, 1048965152, 195247560, 26727197, 364680862, 695511298, 71628681, 155748953, 204280633, 1038493176, 1064154752, 304172934, 697149584, 977835136, 800445793, 185762783, 215099101, 662070456, 846065836, 571391126, 382394116, 847922847, 849622912, 927243573, 161432990, 948023852, 697175958, 564451312, 765909560, 286191240, 1037567765, 220754939, 458704064, 18230914, 879434704, 589812317, 596433414, 525017789, 225865357, 693613434, 42962154, 294962277, 862525389, 530293833, 677893631, 697515519, 1065309718, 324672404, 983297635, 864505780, 956638995, 346343420, 976605384, 210753227, 147781812, 405079891, 849652376, 639489488, 745670826, 925069917, 243775863, 974124210, 797664895, 1067891190, 420705145, 977116198, 12774549, 920198890, 958347052, 118519671, 286729086, 653316721, 344583527, 991297010, 582246394, 759724176, 665958945, 894137017, 948325308, 705506448, 22046877, 1002716608, 518249020, 920538528, 425422523, 225949017, 656551654, 937083524, 408122082, 148602151, 33892387, 95096493, 686412832, 40046134, 1024778574, 688839570, 639530596, 656886177, 934325110, 222258332, 917598390, 601511714, 820679287, 568831453, 160735753, 262214825, 1004802974, 528948596, 284354853, 266217724, 1028132523, 652240060, 494376427, 61451903, 665174505, 264702350, 995913791, 113515896, 550594160, 833553908, 584827696, 12792421, 134776312, 750320210, 160243395, 904394041, 919480373, 811513731, 722982380, 708097243, 168068989, 915309341, 652112352, 143725497, 969397165, 595373164, 213061516, 908280912, 683977377, 3310583, 731735014, 233827798, 125948416, 696332712, 31505738, 713755557, 1021542780, 664627113, 5617550, 1032112382, 618047001, 120907690, 696855790, 377906714, 130940814, 515223970, 873492014, 85624102, 843149120, 382045700, 793482006, 190211722, 950419847, 520202999, 685771032, 868958255, 675560447, 417928631, 608620323, 350484341, 736264359, 226292867, 600546799, 68777703, 278538651, 865464464, 812726574, 893596401, 534415298, 869489185, 712975157, 325945673, 864940558, 403786568, 598224946, 829477865, 739896469, 573669558, 60095071, 524538146, 780549424, 444496419, 666216277, 70403123, 17313801, 195004287, 88582326, 472695533, 280776026, 22084476, 379525769, 687297440, 228343601, 933477618, 682648829, 569239573, 1023195845, 990286704, 826606044, 90535560, 849081176, 70776360, 978443353, 637114330, 281505487, 745383260, 135127433, 672998445, 748892001, 802821593, 64744482, 798162982, 947367944, 77137554, 373681650, 803451609, 666718588, 128584198, 2220271, 19681557, 627852830, 792035847, 540897017, 1064151094, 193829494, 763246621, 315460453, 593338176, 287096256, 736675437, 806559328, 971451691, 28721596, 798289422, 424940316, 257572919, 756264330, 263350274, 370824126, 212951200, 556603851, 630046727, 420532979, 712621030, 775715842, 240933254, 405277638, 395773121, 172700305, 98416697, 866646481, 561961234, 290181707, 1024288618, 719426737, 857934794, 546326691, 852074752, 448416352, 411393177, 543425642, 756075738, 294166772, 411172868, 516133970, 119009648, 531083402, 965580713, 644609779, 849769643, 53220622, 241345529, 758521228, 817680559, 1042827501, 339036350, 550048609, 595125258, 365997239, 981841526, 679538806, 751236256, 338538225, 739578253, 731939324, 401305790, 12467877, 553519212, 692328819, 140622268, 1027238037, 923944447, 289970831, 1035096120, 196191050, 612316282, 847256259, 966448424, 951532045, 184435636, 357634723, 600699304, 785546101, 220897371, 551106946, 59137067, 536766905, 217605718, 716457821, 645026054, 619946234, 1019048724, 976810981, 129523411, 917135010, 382709471, 950559625, 666989043, 439301078, 52031950, 747117769, 777590960, 46604695, 1046841905, 582499340, 7616980, 1027269031, 983942860, 688945244, 499632101, 503642625, 733112952, 1049640844, 6969410, 966096302, 95415431, 588688980, 942369736, 869949951, 631787579, 174155314, 775443666, 447965334, 239223296, 347242714, 601966258, 666840154, 385034400, 798341088, 380229381, 509842601, 688531945, 705641837, 962162913, 347234163, 458877741, 820623971, 628706685, 246723425, 1068304802, 457248561, 479083962, 717453121, 654746510, 356473858, 71935263, 643661800, 79259823, 187202263, 562931536, 322923911, 804138652, 368599256, 793521283, 946578159, 185876834, 861789736, 46265344, 535600117, 770386152, 479719478, 387227988, 928493456, 88089529, 657106200, 132822031, 865635522, 1059495502, 317353986, 662460852, 925432207, 173055165, 440825970, 54282934, 197405019, 1001384687, 387442091, 654663427, 1039501501, 507970915, 619960643, 1030006408, 967316402, 172149405, 949424815, 211750260, 701491192, 900813568, 283426258, 767882635, 724110524, 1040931657, 209448511, 129086476, 920720430, 469451758, 760813984, 489228762, 839464664, 23438938, 325830004, 183647795, 780165854, 1017237107, 284319637, 205120984, 486260993, 640313022, 275031450, 681703692, 972102018, 1029785732, 866594262, 168961423, 92355496, 725929001, 169885037, 1026156197, 37063502, 472501393, 794567832, 933342319, 531517547, 140953893, 1069842214, 483709129, 788043649, 761602942, 453860304, 640240687, 992111890, 260543492, 419889878, 751801768, 781941646, 584270197, 152563763, 226173196, 284950855, 164285878, 793221182, 445265463, 877910296, 35090333, 307784060, 744935047, 340851150, 540692227, 750733866, 466659477, 80913162, 853731017, 524301553, 586366485, 469590131, 105219843, 1041999955, 187846541, 749041055, 633050314, 817947963, 137777489, 843815575, 398869333, 859497685, 672393539, 297432268, 315221833, 276978804, 139223003, 1007068335, 358500066, 37270279, 746712062, 95868466, 68446315, 771372273, 123526883, 874533898, 86721211, 105423075, 505901981, 737713110, 372260818, 819006094, 968953267, 412304720, 1003803211, 244718392, 1000809673, 224141355, 204086576, 575080126, 429724031, 373520267, 253024898, 756792018, 30693580, 254144640, 858155636, 964419755, 1052976299, 401182142, 1036842914, 151387321, 264494187, 981793432, 763834720, 599160446, 1036172021, 681067927, 964461323, 728343241, 805017917, 56227841, 670230395, 345556530, 269027493, 77233982, 196223113, 53413302, 1072690610, 462260996, 315010509, 30952099, 98574499, 712239700, 92892747, 785640884, 298864783, 457477352, 636010197, 668859124, 284048283, 979549667, 893959900, 819617302, 1051474113, 943573238, 131638857, 15879181, 403468368, 96416659, 977939907, 594290381, 619581910, 641535169, 896051560, 230934202, 862907464, 849123051, 1001398779, 535627898, 677694772, 1053037795, 485186584, 863160269, 702347770, 560927037, 582172160, 43300702, 987821213, 273745629, 777155685, 822350298, 771099817, 703850273, 18879836, 821142703, 101667785, 55007969, 1055259031, 528602715, 531592780, 998521240, 660314611, 373368153, 682215288, 403336804, 329596818, 135446604, 1018360500, 675447235, 127923931, 544165762, 900654186, 108067733, 92309295, 713650912, 741048518, 160815275, 1031282929, 747766386, 447911842, 784335815, 705949099, 33958880, 879400424, 54945888, 470017156, 988389142, 232495731, 253247012, 920942508, 349136072, 588494898, 757065705, 511468324, 239496759, 887376415, 733062896, 651370967, 1056710715, 325713929, 834381478, 770700454, 335764125, 570756776, 1022432067, 458967196, 452919198, 84631055, 528463698, 369945926, 129989586, 496785002, 968189308, 713110447, 367791818, 907620264, 1054178154, 517530062, 522104069, 555674662, 113374030, 857713910, 44515680, 194948702, 175207509, 423249151, 310516952, 684885394, 311518398, 836278697, 576385512, 444039722, 705528427, 22329988, 414790272, 648045916, 697307170, 723672846, 913606376, 870255126, 605722765, 448174176, 1071790291, 808551529, 389089114, 291606784, 1054877532, 549483364, 1027974489, 138714088, 567301330, 774943545, 306409776, 548451250, 171304184, 1038613237, 507909242, 128108672, 143722894, 1004123518, 556799147, 129265356, 1073640757, 802170759, 813456737, 115181358, 1029544289, 59034335, 434583639, 199137061, 576841388, 939896393, 267538471, 794812278, 34727901, 1070457709, 959568144, 168354294, 547603392, 939836785, 789588257, 550500985, 734515377, 775749958, 716580221, 742278226, 139338503, 92154636, 513867733, 885329736, 480426526, 873191774, 1061683006, 224017520, 426618753, 769516041, 156022461, 635086306, 201021761, 111123669, 189675146, 785064856, 527489672, 929657158, 231290680, 506444928, 316579080, 768348290, 800363184, 916691712, 806981743, 942049169, 510654274, 568043607, 604367678, 941371967, 488627899, 599037378, 140145205, 664944327, 282285244, 969210179, 248587034, 908474090, 107586109, 573023375, 316014514, 1029266257, 905718877, 992568188, 953607521, 190114685, 688241568, 167422731, 958907333, 526300335, 860010114, 921895591, 525940084, 833074460, 319651285, 931172916, 383208344, 952089987, 617825449, 495592082, 1019570108, 688018066, 177256664, 1042538988, 349116891, 866915981, 267301522, 750615020, 772330219, 987662334, 374913709, 904033816, 454808259, 297406089, 89483744, 707096870, 336327752, 486824872, 567297621, 689265840, 117033629, 706380235, 636739549, 506323919, 339354428, 731663178, 557562164, 337600351, 425850943, 1068392446, 528576261, 809070836, 274094236, 574221118, 114306762, 88689903, 579275232, 921743404, 160603375, 351666828, 484611690, 314282, 596761491, 775843930, 600581283, 144359519, 708040156, 674446788, 933373314, 852357598, 565079577, 926157092, 61024415, 963752272, 979407213, 503835996, 696972480, 688230496, 766238509, 38996184, 632398146, 323015330, 459961202, 183878962, 84028771, 546526108, 182294524, 264734481, 309263765, 341915388, 195513607, 388272173, 651539948, 678094496, 1037640863, 955913916, 333178088, 268955532, 424487667, 314028279, 612502087, 554092075, 509838554, 820025417, 60298476, 929393535, 312085753, 294875058, 177667745, 479638326, 842723982, 1052747834, 558962739, 980638818, 931167563, 525613006, 301270619, 790626745, 808655355, 104570932, 721614771, 1041998418, 317623288, 508219474, 908491748, 599299717, 873012956, 992881700, 989211714, 150733285, 1049724943, 135967834, 633004929, 812135166, 582579403, 136539772, 237834401, 720215591, 181013394, 801419480, 418875804, 471308006, 551194993, 462268034, 966059953, 772527475, 310244921, 871360603, 139467379, 155064093, 858219131, 793447794, 1001093814, 492373442, 905187859, 423159110, 759730827, 301548994, 693329757, 507211455, 733021029, 1029266988, 965689573, 240007667, 401523428, 148589836, 1071378829, 364561443, 715235909, 34187613, 862484344, 784746638, 707222575, 650720021, 821426402, 585118148, 483777181, 303639952, 888868529, 1044860961, 934976726, 415149790, 370483270, 126958123, 1003214533, 469634098, 769996083, 734336936, 105403156, 205835405, 306051310, 171232426, 89749289, 994673489, 79851398, 339032492, 55500745, 804102048, 922376174, 604199562, 531643611, 778704300, 1059424247, 917271710, 367338502, 80143722, 86449201, 139662822, 346737830, 122677750, 1040856025, 378385358, 750540148, 472973921, 924728055, 731353958, 888713518, 163581358, 899660882, 128108506, 1007475365, 128371586, 909925462, 126296372, 317211014, 746449798, 243856463, 262380583, 236642733, 815538939, 570017021, 158750664, 672356193, 441382759, 864355214, 1020558219, 196284963, 584703369, 678235839, 531959621, 944501278, 688858091, 271461815, 264716231, 204770269, 478094572, 900607546, 251466097, 1038212560, 772118583, 880279223, 590550178, 764467865, 148446235, 854844928, 724245486, 500155403, 704544381, 57118090, 122922308, 888481060, 548660295, 482645314, 279189642, 70559561, 273745482, 765175145, 49338408, 56421779, 382567023, 23794138, 895051371, 920302042, 672697544, 624931229, 832308003, 390420565, 783006684, 73662272, 149746173, 674348542, 505829754, 165715197, 576697520, 1011038694, 617931517, 1012423344, 205193203, 745691436, 594405947, 510076284, 893719962, 464103740, 251460027, 158367878, 170451345, 51450076, 716003894, 1047098081, 139462898, 163786789, 30948706, 959950180, 951264342, 1049721594, 914023874, 505454773, 228386237, 253238321, 491046216, 1055754379, 987063234, 640961220, 101906949, 656209171, 72142371, 325837469, 1061867669, 908224682, 709447588, 672212042, 718785626, 1057516575, 988827796, 512640618, 284121290, 67545760, 605012613, 741202204, 868458074, 808786170, 678650353, 777882337, 357408980, 915258997, 444542224, 814074826, 372863231, 546833997, 814750075, 689965136, 234872392, 614880553, 943715516, 75840564, 869042369, 406824788, 777017522, 786813208, 14462391, 276217370, 85911534, 245457661, 528142994, 158325300, 455938648, 374283706, 221371833, 782132639, 1029273448, 1003223769, 712355639, 416766333, 261817273, 338030930, 702849568, 856546399, 613281126, 92538797, 643356951, 232013546, 596088593, 771281656, 837225209, 667629909, 625508964, 222568091, 433712431, 1057267091, 752666408, 906420258, 1014973360, 1022273101, 115182396, 78612733, 1032017589, 145988633, 589537672, 410980578, 652588641, 642984254, 373349277, 1043227846, 625501994, 617295676, 547633549, 841339988, 890147003, 959046296, 1069971872, 63603126, 825795448, 197156280, 126041911, 725400049, 159528364, 984903468, 542808062, 475382678, 422131537, 721109773, 987534613, 962180323, 723693483, 643529884, 427640918, 983873425, 747640209, 88259526, 60403509, 815963593, 581336651, 440915518, 751905394, 418263109, 20529582, 688976057, 855573940, 564048595, 573851891, 734526160, 681855873, 401180654, 264792612, 679958660, 1067389420, 1058726618, 638681415, 718378349, 775590283, 338124506, 425950534, 896722836, 33614314, 278609685, 695282564, 768743784, 198423565, 285423346, 921094133, 695104194, 30695835, 478735137, 193227649, 143179199, 1015214081, 539181259, 939052265, 740986133, 287864391, 738617914, 640707599, 845171865, 945815122, 179309070, 124857135, 995197343, 343471624, 722526304, 826750923, 533894181, 46354047, 304452630, 24112312, 523533454, 276506873, 676942443, 431208647, 438570108, 688315007, 457029990, 401383067, 940123848, 687046017, 863696930, 531435778, 209069099, 206117713, 218539137, 332236019, 397984582, 172915346, 227273267, 577617715, 63738956, 1029628138, 1064551898, 701780574, 836504435, 203800812, 491371981, 703149541, 173427601, 422183781, 449746655, 930810494, 573436250, 3727880, 76783890, 383448498, 914652489, 711128516, 119391255, 1036190202, 883215398, 639181665, 169247644, 962161142, 655676577, 944481074, 175325451, 1041232153, 230506629, 825536035, 827016610, 696971171, 7115102, 157295875, 651874695, 94413026, 64339868, 835685685, 715005474, 1018946327, 599019020, 213039252, 463520295, 281436619, 781828407, 813421110, 235772640, 640909677, 5136605, 1021689910, 406433585, 342437845, 933609317, 493544029, 933935396, 291837196, 671735826, 801337719, 335977703, 668660322, 594992523, 621102666, 126740329, 524637377, 457002705, 604601054, 1034887788, 1048436984, 19262946, 192817016, 508085335, 320159546, 838015697, 734510784, 450819263, 366402167, 719777757, 839871831, 1002451818, 1071487868, 680455772, 981263178, 612896194, 965597801, 1029184021, 959123530, 816096827, 378916677, 722022262, 208780102, 968150267, 247320671, 38541748, 735865791, 435935291, 955726958, 522448948, 122756721, 1041024858, 461658882, 363342785, 1013204850, 673171218, 462106282, 943833703, 543517941, 747245184, 34628614, 574058704, 327689432, 515085208, 1000763686, 364814712, 1070092177, 638392799, 915589835, 217496699, 542305239, 63860252, 805276585, 1040602292, 980745536, 871295020, 68482727, 542079561, 1026435790, 466828116, 333759885, 509423427, 407406531, 945749942, 862023250, 771282194, 872543128, 102853192, 886803363, 331347862, 980809238, 203623763, 553012784, 533797581, 856742285, 21991626, 555905555, 74189043, 354018222, 529747391, 95916392, 61143920, 1045698101, 934935267, 436926226, 193868348, 137482065, 1040519412, 591237364, 207030381, 359271180, 848252014, 856717179, 694544087, 1040319805, 272966236, 137450019, 330406195, 913333425, 108032057, 381366101, 540430074, 817952067, 604243568, 609870774, 639142609, 569878263, 471351149, 757889171, 157064032, 597048791, 963305611, 1047742051, 238598217, 1011567193, 983735445, 863925688, 428007308, 204265696, 850152854, 1039671698, 642192315, 597699756, 572509831, 654838749, 118504800, 262333750, 867513323, 498188265, 412098965, 877956939, 133925931, 866180582, 13043153, 391780437, 264091426, 888885929, 585734423, 627092298, 318160517, 725918912, 92591222, 593208610, 949597341, 359096943, 29942656, 579538741, 194002439, 446890898, 842516261, 127439376, 808281545, 382743038, 1036874961, 263646907, 344555275, 749830978, 740813629, 830247795, 712141502, 83705453, 469247168, 259134328, 252805458, 10583027, 229149172, 622901289, 221524429, 805366680, 10911190, 494005580, 556946551, 310068708, 968776906, 719925869, 530584486, 96291564, 467006692, 997500286, 632919216, 458900152, 957960439, 353325961, 797413430, 495066079, 806195209, 1011516885, 688624028, 174177593, 19278406, 66286536, 106385177, 793831853, 214128555, 1070953388, 729411327, 847785574, 269383537, 277315214, 677841806, 937878871, 291203674, 593220990, 112573128, 975556127, 915871570, 46904340, 59490349, 640479277, 935271207, 1051621265, 655920820, 271662322, 976013146, 991677907, 192086430, 257939818, 499425520, 1069902256, 717594283, 657671933, 1071439039, 372741524, 687106728, 263167225, 864150587, 302843779, 87027776, 683938359, 1058931737, 288506060, 983938229, 620565428, 525846230, 790552380, 599631693, 1032003484, 941916600, 1053308798, 832967744, 533826922, 1038589013, 21726530, 103900445, 608031633, 684477784, 17011949, 325919984, 926315687, 980116565, 132219795, 101738376, 143484546, 284619862, 631068547, 1043174687, 251928015, 985504715, 524256140, 974214556, 113933273, 946222516, 379888826, 722431506, 745125107, 681061802, 702322132, 669233549, 771387137, 950463659, 437572314, 816987438, 953127281, 809960414, 567984317, 473742010, 564276770, 670740643, 965170694, 4845865, 436451983, 901078518, 872575303, 483190269, 749736187, 819475527, 785219928, 383082617, 399745078, 37766989, 797497669, 1051542680, 415962825, 728557388, 694609312, 800255715, 157966785, 154642667, 1000446630, 1038709177, 555684430, 284450003, 234516773, 699371733, 430087675, 572729578, 256578878, 711785268, 440738064, 734786514, 403282628, 572112589, 145760635, 73025550, 310470190, 76332232, 632735138, 379257295, 900507528, 58750690, 71929888, 724543574, 536982183, 38011282, 914682923, 968235405, 688758027, 790328921, 875621143, 645411899, 662382273, 748488584, 224215651, 446306107, 1035138404, 592158354, 450900826, 724604265, 135561743, 282523782, 992961809, 547608897, 474566296, 330562617, 294815966, 740727011, 848661370, 299084476, 458996270, 942080316, 37998058, 262741333, 195547794, 693725580, 316713138, 766786013, 898678423, 864500632, 283173169, 893820216, 1044147146, 387802352, 228011083, 1048854602, 428779064, 120382420, 613793320, 490702550, 796523285, 526206493, 288304882, 992102796, 550921468, 468141334, 118335453, 759580436, 785290990, 329564850, 683287601, 618253474, 403434324, 332159519, 845941806, 879917808, 104020604, 947118970, 1041646802, 1048091884, 614145806, 209019183, 445518807, 564674130, 91576422, 198062287, 113748721, 557409471, 400223986, 579269442, 820382306, 583792253, 930454328, 695968414, 378058842, 499168104, 710528075, 25397758, 10834289, 353915154, 966964656, 309013930, 636106151, 569640610, 582542033, 59145553, 392233188, 942923151, 803603254, 1010962720, 825142828, 28821178, 347644953, 729060774, 752665988, 342081988, 590931636, 249655312, 280890034, 95007994, 169427560, 322683411, 636952104, 108435694, 484666794, 93538094, 597882199, 201997957, 1014379815, 843390204, 39071725, 367601142, 791440426, 196108102, 412709808, 8861575, 356087243, 375824536, 944981540, 226114476, 227908635, 533762629, 98253541, 536654942, 928780387, 979540355, 261618262, 318906401, 976465168, 612768687, 716573645, 250800845, 438292115, 568057899, 22601341, 716001007, 432162696, 2818151, 834505794, 260383282, 627968933, 968614711, 778085886, 658114537, 409097671, 319496180, 290210298, 104332554, 701977822, 873823064, 427572338, 17842933, 20554542, 54134394, 933618772, 771601373, 1026171199, 785158895, 530080791, 260320978, 862410871, 585601821, 149045809, 967883188, 511079409, 900869884, 64438044, 152354940, 383337324, 677846038, 265136052, 502887352, 819091084, 91272316, 881548052, 814148165, 224209153, 549127678, 271700788, 304091, 72266683, 27122453, 113227189, 670369886, 666526544, 1041664999, 829876737, 776706499, 1071688819, 74930487, 776403401, 374358665, 547728992, 233716539, 995906352, 103644880, 898803936, 327803414, 786186263, 866979748, 58288024, 540584350, 941128588, 678560221, 1007199288, 196736329, 332201588, 803507129, 381474433, 518692399, 43092299, 438133662, 603839336, 794869793, 806466614, 246526764, 799533163, 929223497, 949020863, 918086684, 690980555, 641321939, 900495020, 169572947, 892897958, 395221040, 1002905942, 209268458, 688293212, 334553296, 799958392, 240626275, 338419047, 1020586476, 530523446, 84812388, 204333616, 56631294, 981851596, 1032911804, 1041197053, 91341277, 831579006, 49420285, 297929524, 532878968, 117950149, 21356853, 630285839, 549617918, 389344993, 602800943, 131815032, 377704431, 668816311, 379947388, 321524381, 565217765, 327106711, 669080159, 361647373, 200122141, 924987907, 349261449, 749847256, 477072897, 181531511, 575510856, 483418186, 713292327, 338368760, 824850428, 126795999, 820161152, 737640344, 126412055, 314007889, 455805256, 795704888, 993738752, 553097470, 74574657, 790772251, 742371725, 569438140, 111392050, 133371308, 241296792, 894222444, 401411077, 834717123, 616614738, 271991267, 364269683, 693775336, 1064236794, 211293475, 225750688, 480838179, 760806, 68874662, 193109370, 93301850, 565076756, 26658163, 332053607, 967979271, 646793807, 881321015, 786242010, 1072577126, 1057352111, 48496288, 833023838, 121663813, 442418178, 834916604, 567257577, 130501617, 311770106, 885530790, 958752624, 886892718, 35930969, 561418937, 482056341, 806483251, 1049987418, 13829690, 224318291, 953214789, 612603223, 836464150, 433085058, 287204475, 661059959, 636900289, 630201480, 994076351, 197061742, 932130046, 506634715, 644651741, 409564829, 1065556559, 879658427, 140730810, 1005183145, 184580155, 18100203, 915555953, 810704460, 913718240, 1011131838, 567886292, 581091871, 71769421, 735556524, 1032336898, 701539991, 698488962, 844377940, 408302966, 426519404, 761597713, 698465374, 512635424, 735682902, 392105569, 956865179, 307912211, 360199508, 701989876, 435783943, 920764285, 1068277545, 1066471697, 681579320, 893626825, 356985532, 972937447, 830253527, 665663499, 199770905, 988953305, 100021673, 54858489, 894622753, 362073367, 289447900, 1029418744, 123312753, 982911700, 510049818, 572889482, 15737431, 879548343, 195270534, 817867881, 644223143, 906221148, 192021198, 1032866955, 413541398, 487197565, 139176009, 91774771, 874218495, 891604913, 223334127, 820700766, 435226195, 615024278, 503120239, 338238746, 856834134, 480208501, 325374586, 544224871, 808714947, 624144995, 82023115, 678057084, 506891579, 568535093, 479495469, 685567935, 216622168, 912094057, 706999752, 373117848, 182495438, 782884937, 81617866, 56458184, 39976595, 811995769, 322206216, 874937951, 654898730, 958864522, 881833531, 1060717218, 924660515, 571340812, 239959687, 710703222, 740347291, 705757835, 639291171, 686566187, 545471964, 267137179, 465938782, 312466058, 307134079, 895760587, 781477099, 99507771, 228337232, 942598974, 107979783, 323706803, 366770716, 619936475, 591370766, 308250632, 928757134, 578301957, 641314728, 895302771, 870957767, 350862016, 590129224, 842956838, 649397558, 322973443, 139981062, 592714438, 280861450, 399174261, 863128922, 25585070, 642100995, 321208785, 80652321, 901952299, 835938789, 241075399, 584788189, 883102855, 36103689, 872512861, 131963834, 717351355, 319615941, 244542622, 339831290, 826432949, 778978110, 239642935, 559092440, 1003245092, 37467198, 705272936, 821858556, 485713591, 3033522, 459835870, 164038733, 794684782, 333174176, 25727209, 1066788235, 797446322, 1003326985, 238257947, 432889161, 180616872, 606736623, 777279657, 615892421, 915072423, 511986033, 1065663829, 170762945, 479679332, 278125474, 212895464, 389695696, 683445048, 534497274, 353512492, 416106792, 517574033, 416796992, 541034797, 140028931, 454857833, 782470442, 318254405, 969709941, 978263244, 335154846, 248605920, 239327931, 171047176, 801314, 39151144, 944664954, 600367483, 333192850, 858707501, 327057127, 58972466, 137911227, 422116961, 152112453, 526887182, 826394288, 980368938, 763634919, 677314176, 263972692, 314240396, 874730050, 822661621, 231561191, 1010640110, 921570042, 732520878, 266865787, 152009595, 858072273, 167825363, 895887959, 787360950, 118443176, 711804737, 53638390, 298899609, 562894878, 730195286, 252778418, 733892035, 1062446649, 990059654, 906490697, 15945893, 520026337, 700275539, 1049639534, 454193286, 463192882, 921081419, 312763738, 250560404, 187143026, 398626584, 663935034, 1010377630, 211517290, 523888482, 66538652, 343533083, 696571640, 519260624, 750013207, 1028566536, 882672169, 369843395, 879996846, 843229072, 201182918, 249768492, 819196571, 196309501, 349383519, 669235655, 393507412, 66908078, 873735905, 122845178, 696805599, 548156937, 386414341, 782955655, 173962553, 397876734, 677555697, 60390691, 658745990, 637424799, 727570320, 522301067, 984853150, 1065434058, 475471570, 466797481, 100155940, 415951910, 684053649, 369851742, 303110908, 371596145, 764185222, 1048844242, 288050818, 1063534425, 57383237, 372302645, 575906894, 801567016, 1034516217, 216906263, 585830087, 240541659, 753984016, 266702108, 1011298491, 436463573, 224708650, 897433140, 204082114, 731138729, 162725483, 846725520, 952094971, 16320589, 240090926, 77680094, 784439825, 797025067, 673359182, 1045239275, 590945650, 415139649, 195271385, 452253546, 264993557, 242974269, 122262121, 950202294, 559636275, 66414230, 904777942, 934197693, 130996800, 419197310, 536679593, 709960802, 371344969, 1009125953, 11139751, 463518788, 178145786, 912080936, 957277502, 1011637969, 981387081, 911366673, 771370230, 458968979, 9699112, 444530583, 625636146, 464806795, 1017185639, 722635384, 628279536, 827805818, 839572890, 452546864, 625891959, 794383222, 1006405304, 663031517, 972616756, 776935191, 120921464, 1037019415, 820125996, 140584093, 48081858, 997383311, 836239003, 993746446, 530201677, 387410901, 1045622441, 1021839517, 521418894, 447947178, 106391479, 209836709, 585246773, 981879343, 995636512, 320710863, 273808365, 550656683, 543046901, 48108333, 634141905, 397169222, 712239521, 1018130646, 762766184, 630663283, 414767600, 321677176, 180052492, 540966454, 98805828, 864341843, 624976268, 683590995, 342716242, 869311034, 495288330, 643606527, 412905984, 303548557, 723322898, 994312081, 795188488, 477896278, 957352570, 1005466548, 1011517437, 522113357, 999340159, 281763759, 445897684, 901271341, 51565672, 533336946, 909163289, 508036906, 697106191, 106514237, 804442555, 536234532, 215704157, 509274631, 498582302, 989408706, 339825185, 106377056, 354975375, 80377734, 209081779, 457412376, 200715486, 733199997, 315554704, 865256303, 693547852, 391920291, 581224305, 892535662, 618473135, 59424803, 972542383, 827977846, 117406836, 717031356, 1015258217, 775107740, 770283690, 441604505, 640048756, 872342112, 243891042, 1023781419, 716321044, 950073028, 966137078, 170540380, 1055085175, 559312719, 269957341, 644973390, 196662036, 843537270, 1025866369, 904763376, 389230768, 306905226, 108953451, 344753050, 266259237, 128204237, 893007330, 1054364095, 221952192, 787087187, 678022420, 112177392, 1020994598, 422059718, 1055800735, 161793290, 320137488, 671137194, 568506691, 45203820, 416054116, 996027396, 1052892669, 823068452, 796741612, 208888573, 128384561, 1043539100, 620389328, 2171958, 438662112, 57905972, 913741921, 1007862489, 37835095, 580737603, 918538794, 105252052, 851703320, 61795013, 713564151, 912503204, 103592393, 772599801, 40790703, 501123686, 941925613, 639681925, 508297467, 536268678, 801937985, 539977749, 938230356, 85573331, 441711669, 98066579, 567259503, 209616892, 970367133, 244608937, 604755093, 253428817, 988229777, 868995990, 771384359, 52842567, 18971780, 746372374, 575107201, 681069740, 784401531, 456752983, 179673732, 133088272, 618460323, 969257522, 621350489, 732805709, 665147107, 291195930, 97060902, 1022019863, 816508689, 185188589, 519867200, 234922632, 696287737, 287278962, 670765539, 777451788, 24156554, 54465265, 945244109, 852228790, 477375190, 741520467, 569703575, 559290419, 951640622, 946397838, 341618206, 422199552, 125692871, 1001406769, 268110300, 353812281, 654496065, 680051868, 75142928, 566814289, 1042744219, 968149971, 132579238, 584076072, 774914177, 193265159, 122981592, 968434612, 1007690184, 694788187, 797495661, 391177913, 233907746, 834853467, 882161394, 637908055, 970848522, 373948659, 339832895, 751801651, 865806578, 145094823, 693736768, 885908592, 80651810, 450649582, 630365434, 455918693, 457222074, 306237960, 893166500, 104430226, 881890322, 311486983, 910499201, 550191950, 105615986, 814941619, 190583169, 859432456, 69152425, 169045180, 783776763, 810749691, 903511893, 105735397, 159230498, 1019959442, 48104615, 952311770, 566228923, 809165931, 1070817164, 651034713, 716724101, 212962964, 224993057, 909076421, 206599821, 156766760, 491680743, 811018854, 398521949, 434769425, 386213665, 75578628, 713188250, 570202032, 749163454, 631793566, 82670732, 252241534, 269184955, 871367618, 474769003, 690632086, 446006586, 897580073, 483169795, 1066153929, 994530537, 324141271, 600138722, 484977681, 511689410, 620190228, 58465518, 870622849, 139271720, 50079865, 797251962, 922183381, 541605504, 1004358032, 261819747, 497025886, 551964635, 562985493, 490567538, 982027703, 387615145, 675754551, 543644268, 691625358, 929333159, 966564999, 1026040551, 1032137254, 45131694, 11485034, 104933082, 165460956, 882144430, 570686606, 992622210, 184566067, 721639973, 1030363709, 177689662, 131050733, 6054313, 92770063, 840823583, 871143900, 483424830, 485404414, 687038444, 916176417, 460419960, 1043284457, 931242588, 206047483, 963820606, 530645249, 652259498, 151635233, 213574963, 495468864, 711917915, 744948128, 871858347, 810348129, 91084067, 585201293, 611566856, 678578836, 446681736, 158566717, 612510622, 712483742, 39629234, 867357821, 361436826, 83016072, 105020691, 435846457, 735802135, 651956282, 956546737, 36018985, 645418970, 1050379885, 685208541, 369960808, 832004714, 960435301, 515507038, 546295035, 1027494663, 454455892, 794380237, 1008014484, 207079712, 608274718, 923114172, 768867338, 688370702, 267262562, 223750481, 587518424, 830301323, 265180784, 40359662, 182146315, 321629794, 1049161777, 89626971, 225212786, 101617537, 319150567, 602705391, 845542642, 117036491, 775200868, 296391764, 1036690272, 781636912, 650961617, 854131267, 99463451, 787993949, 973046133, 457598992, 943966678, 945191403, 20739338, 1056774365, 599566482, 294220810, 24697379, 879819270, 952183297, 123769272, 551060856, 207527881, 635963579, 758894624, 1001092820, 956290913, 583200258, 448735733, 14550519, 373192435, 1024101580, 345887207, 760501426, 647516773, 37848883, 574584974, 743960819, 497400237, 605932645, 1016808163, 853850747, 75594857, 288450013, 622469339, 408993833, 787211121, 178935165, 300846433, 1039144063, 68791921, 599315140, 256712585, 169715217, 198952772, 699658369, 380260933, 643549602, 21149553, 985357615, 26977954, 46491995, 101814463, 858184360, 231044148, 848139011, 30514382, 934430055, 186969336, 261107632, 903198648, 184459135, 360665746, 349466265, 975282503, 550228487, 753912701, 572975288, 821563801, 243565559, 722803210, 115938285, 1061862168, 256417965, 846739319, 758824911, 160832876, 535523103, 348533773, 543139387, 456907364, 21616208, 730330584, 863902328, 470334313, 190033211, 790580784, 188114745, 844783887, 791537166, 534615692, 675119731, 412914789, 292815479, 361931626, 554117971, 580420791, 53119012, 562167715, 634519003, 663529614, 575733153, 124616943, 685368639, 191477016, 525616219, 18471701, 491349635, 571558753, 994162597, 312729934, 265432481, 244478924, 214639248, 35390053, 687656925, 996344581, 22503346, 389898127, 112914398, 602965512, 29678225, 232360792, 692028350, 434172125, 224448287, 204975871, 516550223, 1016877802, 1023934096, 1030004034, 1051845517, 269776185, 266536245, 644874407, 843127957, 650169778, 759941707, 17061896, 779314618, 621949665, 606542731, 294700197, 673634023, 1027214135, 1068223029, 435231982, 43770198, 142158631, 413673463, 141204241, 183689746, 885924089, 672459586, 957095954, 190338250, 409014856, 830051795, 327748723, 852376670, 924803381, 635985460, 466724441, 207624558, 397209310, 253753440, 649577742, 721553468, 665386468, 304146092, 190636228, 202058418, 561458383, 417116149, 91347018, 528811493, 131447187, 921711924, 607737487, 325175884, 477350400, 1052257009, 1016031817, 592076104, 385889849, 677823664, 844796233, 552588367, 104037095, 787700560, 767225633, 799445710, 762008617, 50540728, 816453134, 677167430, 578655208, 582355934, 208548908, 1055588575, 519756937, 912192976, 244692563, 375941064, 950771997, 432961994, 780562978, 447449632, 639338730, 953973335, 64638075, 536069647, 770973970, 836390607, 933126174, 1018565440, 388966903, 649878426, 653752692, 48543894, 808177701, 662310030, 818422113, 777370832, 513984832, 490889892, 245025326, 332800837, 984389026, 132422060, 21506271, 185703643, 257438056, 449158285, 249198216, 842536562, 814399922, 246354053, 710887887, 201257178, 234563094, 97109233, 705690441, 948644313, 930727149, 835581735, 193489005, 560714966, 495924155, 364136489, 469644497, 957616788, 222564011, 1062352369, 373653188, 418232338, 209068821, 8778731, 1027423067, 1067400576, 691682685, 76036106, 652508097, 733455093, 151773964, 823790882, 589220201, 709566666, 684035587, 205892986, 1005528607, 783622856, 747774567, 180103125, 189674807, 672029556, 1028941857, 269007845, 935562420, 761843558, 51663831, 783643862, 558599104, 207670622, 867215556, 739981126, 802331536, 1040190664, 280061901, 288953543, 773991309, 222682300, 93751980, 63335491, 387899560, 889488904, 280167156, 922098978, 679886584, 18864341, 287229583, 703675972, 692448700, 436464935, 838627871, 760821386, 546706652, 779691923, 616905352, 1033945629, 476604866, 262070371, 630100095, 882618957, 559992089, 860925110, 634647007, 976237809, 440583249, 614981696, 983013803, 36859246, 341357935, 1064156247, 663134395, 550069379, 423058861, 151314747, 763755133, 1068459019, 963610385, 30873299, 80331105, 36016131, 755558649, 626158797, 1011886679, 101401196, 468069352, 1008515122, 598761789, 951152995, 92304558, 962780879, 506814340, 965812111, 437381502, 372044194, 776622136, 190056733, 489243561, 823266244, 979867567, 343680746, 877326149, 366364239, 386878081, 739998745, 950050989, 192912091, 610823786, 673982028, 755981750, 488230052, 28796163, 466456539, 177495627, 466190857, 894333070, 957712562, 802342270, 291046267, 208149714, 572374822, 466963077, 513779962, 437835074, 179980880, 28500650, 937025872, 853520076, 951250892, 752068501, 872610408, 769836341, 1020538220, 687928451, 231358088, 172702864, 233198411, 232974740, 840543626, 240891583, 394427664, 989527371, 615600002, 493335581, 917020574, 256243216, 380430046, 499079872, 791548686, 128127040, 684892157, 96747560, 907251201, 837312184, 308144421, 717874160, 632233739, 155098209, 251745386, 1024465005, 815113585, 900606126, 506389187, 558546868, 57720404, 113596216, 958854705, 28437881, 54731054, 995991704, 10520505, 328104579, 832175022, 1041198495, 936557618, 341805577, 455508054, 473651824, 853612716, 94151117, 25915531, 468300055, 201353608, 887921173, 884540574, 393450452, 707376800, 1037510808, 491770145, 524341364, 316178036, 368168505, 611198728, 286048263, 371338005, 638359041, 704982956, 909228682, 928213716, 741275378, 557430919, 92505828, 1073552401, 804926628, 597166681, 935475234, 1110318, 194637307, 560543573, 798007274, 376554810, 777575278, 837763406, 112858353, 271321971, 351589511, 438729608, 771060028, 165830636, 467360832, 327573553, 978892025, 64734711, 1046992457, 619263621, 207074798, 1023496489, 595686727, 617039558, 950059150, 986082085, 15528164, 921714990, 240661010, 214512042, 376442874, 953825666, 341047832, 1047381652, 171454038, 169349590, 708749204, 200649424, 258691601, 551602803, 592597885, 1052643872, 310494527, 155621881, 501626235, 422395776, 677753832, 206468506, 60061393, 604901493, 280780435, 972953350, 744779661, 572438394, 650605274, 779568376, 120102480, 772849867, 122856468, 123418285, 407669386, 397790251, 545339768, 54614466, 1057061484, 745024934, 930442013, 1066011154, 346924918, 107651729, 470814196, 387202433, 835609102, 977870756, 371731184, 345109510, 916364503, 283372961, 1066781010, 950724188, 357639003, 772775683, 670688731, 583645489, 927759969, 793060987, 138340264, 590233616, 193757095, 789529192, 216614659, 479683247, 226696877, 519911761, 24398709, 130936520, 860611467, 1005301789, 899700776, 27917065, 878749841, 810574420, 672902387, 305911685, 439032336, 255261528, 490183516, 414773528, 476319046, 60291844, 1068435539, 475969675, 225497012, 817007395, 943153426, 255486865, 138720005, 228698663, 1064557175, 517494992, 453551190, 443217296, 552912202, 755121099, 756162302, 99352517, 827123971, 56263443, 568350818, 406200393, 665181565, 550060518, 261655352, 740554889, 259977308, 768823470, 181110474, 624850822, 10440152, 601465300, 677927083, 1068034477, 970762898, 535589307, 582416170, 385885066, 281182665, 29804918, 1032605087, 364682054, 892558477, 882914747, 143088676, 655490965, 219940167, 784524736, 900780359, 27936153, 695284950, 518143414, 263553200, 313303985, 733934956, 108147540, 931067428, 922673817, 713315436, 428285426, 217892477, 852225845, 1045320925, 957042253, 497442455, 44603458, 934108773, 104972954, 260956511, 24555664, 370601379, 455413139, 200605577, 90048182, 823112038, 368705368, 555362938, 282694080, 830226232, 196612411, 690436950, 172589297, 766329328, 728754728, 688680333, 230867442, 277598021, 94172174, 75911972, 675917407, 406997139, 546635012, 701534152, 38328526, 24956626, 948435062, 110579781, 206651389, 99910026, 209855514, 809024042, 681553094, 283916438, 754182334, 669706960, 532213150, 69212878, 1068897802, 978076331, 215003422, 801227922, 864017143, 214960976, 768172829, 482584980, 715815533, 359764008, 507898054, 150359110, 904910451, 872020985, 336113542, 969571321, 452385278, 832493266, 927667380, 732948677, 430171167, 382280376, 733115526, 249633657, 642516097, 369650781, 995917001, 601361638, 1038486040, 723000029, 1016875031, 928938173, 836774487, 749139453, 726163640, 662246349, 219917288, 695599181, 713881306, 333122691, 1045804977, 1065034186, 860436410, 668078546, 41525776, 571507842, 950757166, 701967121, 299924300, 459498274, 402231876, 839546761, 306242912, 37472910, 230924534, 686373686, 426411632, 364791799, 960603822, 78484980, 233804294, 882091059, 227263569, 44259456, 1044075641, 93313834, 74062082, 370604771, 349267236, 197034807, 910486991, 769754563, 138481043, 92955588, 669091762, 668506991, 364872803, 415991167, 380105952, 789900190, 996844508, 587803617, 865845943, 905786393, 891468360, 806437509, 619176079, 894855106, 983028615, 851000561, 233971020, 34971037, 634433699, 483394564, 861002203, 9030598, 892249509, 1024111270, 175570673, 272935272, 505195355, 627956177, 828957201, 479120070, 648464391, 756509194, 505196418, 619052444, 391506851, 76667079, 942915002, 1018696382, 621184362, 334035874, 455961553, 872269915, 625012227, 714578873, 718843250, 107222383, 545534457, 41788196, 1002732972, 279556714, 548233065, 650728368, 219157599, 613918247, 967299825, 192455514, 6484844, 287644242, 953717387, 849952550, 502628534, 1023848700, 586665410, 720014007, 897718982, 366207048, 232242146, 393294787, 342645523, 114185690, 540688529, 468503356, 97289052, 312301874, 10044361, 283474037, 562520571, 1059295458, 612990007, 468186301, 798013188, 903109814, 206488187, 914007125, 614929991, 1026281203, 249385257, 43852819, 192462522, 837268983, 694735010, 209539507, 454329997, 625332754, 267680583, 244298438, 1045474028, 665682252, 692651143, 302063558, 198320939, 850938029, 220846965, 185070727, 50905557, 27036863, 405324797, 206257579, 161869495, 53340171, 857141861, 733087752, 356843803, 880567948, 649216328, 88766077, 489940621, 918490730, 864487361, 175681459, 1001240681, 444365725, 146621565, 612758376, 110402859, 754325751, 965643950, 823388294, 815288609, 48766267, 180483935, 963475332, 933652728, 208152958, 452995546, 558865330, 760504662, 882993018, 303872030, 717087519, 82921237, 225831974, 559982956, 64653011, 48013393, 893412189, 336357738, 867860714, 949876298, 669892866, 784259806, 500338120, 571920722, 216551504, 79211664, 455865082, 1048258065, 972685995, 665134874, 126915973, 760157416, 721305129, 112025586, 176293030, 950166928, 970604394, 607240693, 502996858, 211451297, 50195131, 909452413, 974091901, 1011441732, 579398956, 940335137, 388327055, 176706900, 390329577, 1065994376, 1054926082, 399477902, 906058768, 907169985, 25340505, 722753462, 1051321496, 944862025, 15629841, 976791503, 1017100947, 953631385, 766792489, 1014451155, 306419456, 243730558, 187210239, 17236593, 706742468, 395729132, 101959337, 21021745, 854542257, 474133503, 108042915, 104853903, 1027025813, 947145951, 179265483, 329516514, 886815300, 83006329, 109124696, 599104437, 36410239, 490328916, 812533111, 787253500, 16632429, 1068650599, 1011540597, 1041704498, 154365569, 846230939, 688436982, 1053872263, 68675352, 806477832, 828350928, 1008962241, 403433452, 520076027, 256671807, 244381266, 280610696, 874819434, 819050556, 160785212, 567235641, 434296096, 845919286, 47478351, 687438483, 117656763, 438855822, 158157898, 1017078731, 918215752, 625564444, 705112699, 398100550, 417969584, 142644940, 435421032, 1025117149, 289744936, 15698464, 49001360, 538602352, 986013441, 937294509, 289123964, 24250518, 63197443, 182349807, 914610589, 5465068, 515038769, 698166989, 659668744, 132461436, 722360810, 422823440, 652967575, 642782128, 526600573, 253256899, 686969075, 92893439, 962107694, 518093032, 799525465, 252887294, 1051089797, 117777721, 823284049, 860777405, 235251575, 937257916, 922022894, 892895773, 308674108, 956196453, 260003208, 915720165, 681503791, 518136838, 760707453, 851123202, 1023461776, 414170551, 81220247, 889673249, 673214127, 23647361, 1011023993, 947505296, 623241531, 578643761, 733664213, 126724155, 1046143772, 110415240, 783815602, 866719102, 442797880, 353534590, 382237944, 99285266, 387493955, 581888568, 612440863, 917753697, 578837880, 1073022673, 951698901, 877017527, 549952804, 405162722, 397719872, 530642782, 637455365, 616256845, 65650671, 307480645, 312870910, 47656300, 889973851, 181195090, 694741811, 702091518, 636043626, 1053868600, 465961778, 96752704, 1013203699, 790052494, 863995479, 165379225, 1016734644, 214874054, 787834125, 864221889, 737114302, 1053927773, 88618140, 887628901, 599255586, 820620177, 396374720, 748052530, 129189195, 157750141, 486464888, 81120459, 1047400440, 942226349, 759862797, 879482091, 383433116, 141369631, 670751468, 1040602054, 174059995, 979027414, 490097943, 429434360, 14073496, 648837254, 755039952, 642779017, 212260869, 931690407, 947263295, 872654583, 760222748, 222683904, 551824752, 558980466, 391578939, 967181357, 856245034, 975380476, 1032689566, 631016503, 238010188, 510309354, 904232822, 218210750, 938206336, 689560245, 348135387, 652821965, 1039593180, 762863950, 476771886, 181629547, 878089982, 217343530, 411234005, 25882657, 369179239, 569339160, 562267198, 1008072217, 969470624, 524274013, 140800361, 379216942, 1053086355, 1001928308, 120836870, 1031067215, 560205554, 982414661, 46256367, 131389633, 910099991, 705050012, 475429666, 302580682, 183654325, 458677572, 778477360, 826723515, 477928204, 458835525, 744326249, 713270817, 39485423, 490747285, 675026702, 563403788, 488763661, 748721832, 411678664, 588464111, 106204531, 440481396, 157663147, 909170659, 206281122, 371316381, 1032094101, 764884298, 764948070, 944343471, 1002947260, 462721051, 330770877, 224282821, 885317613, 435684902, 1005933583, 660148655, 335758609, 902011661, 836421990, 678251753, 195551997, 1009082042, 226737156, 879751239, 295251105, 696927592, 859403011, 46066883, 718045763, 419667626, 322583435, 736100426, 1003434760, 216768424, 756262326, 990089193, 876040467, 327553376, 765464461, 252068478, 849082381, 906863076, 38729536, 1019546653, 691938160, 927167873, 229043134, 235064126, 1010495432, 748496932, 291999134, 881389837, 421397473, 252939187, 41399225, 57094010, 493618694, 951582190, 263729878, 241787697, 523521127, 103652192, 961097448, 719405820, 258109078, 487308321, 173514240, 715401921, 49267384, 1037252983, 776591267, 573037594, 579259519, 787378454, 445198423, 512069630, 55199085, 22639856, 1023884750, 492645274, 971053146, 1019183322, 249539310, 569792703, 856418014, 74293007, 604905587, 727897132, 735978720, 572098880, 523605321, 303041084, 451297752, 467302410, 808828914, 201145165, 230795606, 565049234, 416428360, 641579965, 392072254, 230281859, 574669256, 969481247, 368921440, 705906605, 688912161, 996535015, 783328953, 865418640, 286240446, 351856886, 278166884, 608942824, 92471679, 322796187, 266573845, 352449854, 1015356406, 44835280, 923613461, 83376668, 735190239, 638804939, 702266571, 579409526, 612356473, 551868404, 556624255, 157470882, 20452634, 479380708, 30318296, 579125843, 400529112, 454609925, 598520177, 486529651, 462290412, 730040604, 984894478, 258353413, 997059090, 175843647, 522588249, 952975616, 241738447, 996203586, 576340101, 472051408, 643447056, 1022584098, 323340090, 606103773, 109499572, 135329583, 614369899, 28590717, 51697885, 765320543, 50750756, 740483101, 273558314, 1248804, 869341524, 587636587, 76207626, 1029584580, 74267654, 1104176, 686752873, 242271048, 546341032, 89854314, 721369707, 764725085, 316352236, 286190319, 321398661, 218040089, 712976869, 681491813, 658720096, 612891052, 267785410, 483625271, 841475987, 595585248, 259918397, 570488262, 792407579, 517047909, 626018809, 269738534, 105947926, 9510808, 758580395, 727569126, 1013593268, 1019515673, 322287550, 401456229, 111847028, 1068683112, 338547145, 467450581, 517788245, 166261277, 458734321, 185409757, 562700931, 805790702, 786200829, 104778598, 929957167, 618008034, 387363464, 696745493, 135577179, 824587916, 442405605, 959889513, 154629402, 573256133, 290528712, 618879438, 348376504, 1052846363, 232928991, 858586839, 750603359, 284138813, 147106386, 876645759, 616003620, 269568610, 319808904, 238190606, 247174315, 566874767, 518499435, 594827915, 547159514, 689080658, 614060696, 664026272, 999144144, 100182950, 1055455242, 819517204, 60658583, 378918634, 380769308, 944408760, 827136424, 296303508, 481300031, 46213363, 11115471, 225051640, 531909096, 343296069, 137477727, 992935968, 526575251, 336649160, 224027627, 717281305, 922745120, 413500747, 368465796, 860255068, 982315584, 649743476, 21836261, 306771495, 939971940, 484935691, 547434813, 453219704, 838729581, 189390906, 467885322, 1043859638, 30631412, 995739179, 71099400, 775126846, 783770052, 135853386, 875982456, 17022893, 690594793, 497906624, 669326533, 1008466029, 218720054, 513326755, 626664380, 470723628, 563809069, 898845924, 631477729, 918104491, 628405468, 422465853, 712062105, 931609259, 431038523, 82206751, 997457493, 989300266, 604045055, 614412606, 645875629, 838963257, 566421790, 701604079, 388442415, 865553785, 181674801, 718105972, 687681080, 953182648, 612393601, 471780796, 667641723, 5285982, 486436555, 386832802, 820989875, 727481447, 185240946, 740036352, 543069808, 761163852, 764629776, 870532217, 744795085, 745648861, 1048075189, 663456294, 476715334, 412833899, 750940455, 445664396, 695067920, 645076684, 331094520, 648346866, 114665270, 112330724, 459108365, 67053658, 344795290, 845587430, 741958947, 800560413, 420129575, 118095961, 606653418, 89183954, 634473930, 183155106, 503782180, 701917540, 255678637, 150644368, 961691311, 287586015, 350000871, 383353310, 353046079, 272452140, 136015754, 337321627, 859739096, 7137947, 579906013, 923998878, 592208944, 873982635, 98722915, 194053476, 853984026, 68614158, 752820763, 1037009092, 564951586, 444487334, 642980888, 631433063, 1028421615, 693516947, 861847827, 980873876, 982243805, 30326906, 93732188, 1041968088, 898143112, 689220371, 376317306, 917388997, 339707021, 486323499, 819179398, 161798918, 104529498, 168625706, 715139731, 821243739, 88420396, 324236787, 643722046, 684959097, 992983802, 306970412, 139992589, 1055095617, 217946856, 303758353, 75386276, 1066759795, 742921994, 420811165, 644647075, 41529891, 757999359, 947824455, 903453406, 278987977, 523658472, 119879754, 744920122, 129210295, 455190472, 886580832, 741328718, 925945859, 861743774, 37038520, 856749446, 764644732, 873771723, 78899860, 164741455, 413912174, 974967604, 422205288, 764725271, 369800839, 926825253, 68805174, 551135680, 224754261, 114721007, 818876197, 727993051, 191168230, 847775216, 830500400, 112672415, 303403363, 880194776, 112485086, 741573569, 48444632, 769608876, 248440259, 213779998, 567719039, 259244453, 508797354, 42711253, 558867015, 778957936, 677380572, 126854375, 132471499, 813051371, 711445367, 1018277505, 672564636, 167722838, 1020605586, 718610725, 165083295, 88148093, 1016278489, 298363887, 17040079, 856851670, 814597211, 229437683, 321563103, 533766772, 378368972, 231179, 925432113, 555778030, 367366900, 584887306, 737103988, 859104355, 999625181, 472229093, 619468946, 731165574, 678914775, 340984455, 45137941, 903916246, 478881245, 181951931, 270550688, 683122707, 166603016, 126099958, 101485926, 93590302, 1052812157, 672300834, 799709623, 1051190529, 69493578, 72699906, 781888311, 428177122, 94620224, 134896984, 466460448, 760262630, 686766849, 823745646, 1042129538, 1029468523, 604352424, 641542307, 446948649, 832313469, 910487383, 211744925, 683399064, 521861861, 951532119, 351220204, 528162056, 1071768164, 414674948, 439609998, 633431690, 273424101, 607077585, 308912868, 507779450, 338655234, 853180893, 1019258981, 944184205, 261992990, 826898171, 345079319, 491653039, 1043099896, 333401581, 647117006, 276759238, 363725308, 1048384295, 619707888, 781372495, 817246353, 686709984, 643703091, 664102548, 327092438, 429787008, 287532405, 231732712, 419205589, 763189503, 152608878, 793642210, 307462996, 24514706, 489582335, 810645658, 248533174, 487404808, 706501532, 289015651, 1017011566, 1024481217, 573666258, 1043016330, 168800004, 448879263, 792699100, 775485823, 534742999, 385527847, 746149042, 430761863, 135260648, 130400825, 909913763, 140427194, 5617687, 631796618, 768769141, 8480552, 643366695, 212203584, 438083910, 14011197, 1027128961, 140402690, 194087071, 1062756351, 923132346, 693536553, 1028160016, 711467822, 234506224, 281001493, 722489710, 529625773, 908927160, 899278548, 447281993, 509565071, 84177581, 741554297, 961501942, 704923844, 177786614, 998648387, 786296517, 752745755, 421223337, 686206755, 168999333, 40519728, 925440287, 532536575, 140035062, 460641744, 131896245, 402579952, 691141609, 60992133, 416227409, 378280140, 57142609, 24726467, 759300956, 296935392, 91013749, 637586392, 885655442, 726200853, 846712128, 1046751871, 740882779, 53261153, 859440102, 384767941, 644743545, 898461854, 25670561, 390144941, 462185482, 207341094, 58988697, 588760204, 438859649, 205130540, 922022179, 157484153, 825896977, 766945737, 971020111, 95819525, 802525832, 1057111856, 12921930, 1069097752, 431427178, 984525943, 305629553, 129973279, 957825654, 548307694, 580759910, 334722096, 400864659, 831076931, 380832520, 243027399, 921631610, 134664253, 291678037, 636356177, 535539983, 404499135, 200393392, 282573123, 854271217, 1015921231, 864000182, 49425065, 162228665, 318689913, 1045298324, 664720967, 159091447, 966378647, 760920027, 493886674, 669086512, 535383417, 136611966, 658174507, 539319921, 596927739, 348667205, 453500560, 1067937996, 96098921, 817315655, 1068111277, 563440477, 99940702, 376608834, 614125828, 687522545, 335792946, 110604844, 276180337, 446478535, 31142424, 609344146, 542297053, 991391978, 982849266, 1028585226, 524895176, 998153037, 277650445, 991153573, 1187914, 21539238, 923576910, 1017463547, 458093567, 835152491, 219273353, 96824677, 997671263, 512622227, 793957013, 61668114, 242792994, 498284349, 824692116, 154387586, 849015275, 935110737, 246130931, 5022650, 270979906, 426149263, 245207965, 215997603, 222835981, 813923821, 979192232, 964149577, 892309765, 981729578, 778627151, 1011470582, 350220132, 286079311, 937635371, 184814273, 631397064, 634445519, 965006445, 857931568, 153034545, 471396667, 757797695, 315023283, 483202715, 1070570081, 332866268, 966020878, 396206132, 795451560, 146673012, 1032272110, 78703955, 370811057, 896188636, 922709773, 638084896, 734597497, 280159888, 244516480, 454455319, 25860743, 540093034, 51500115, 1013180030, 447626559, 709145493, 727833942, 465385473, 678229242, 277619548, 369963653, 276231751, 738594314, 621595626, 519821215, 886078959, 902565255, 755350710, 831397700, 141053935, 222696784, 186343235, 95410139, 250221086, 400153806, 366391424, 672320166, 523139314, 77772267, 735013924, 145890498, 559825596, 969923434, 431270266, 689285423, 375834500, 747213565, 443890338, 906984875, 31986308, 710436619, 246684576, 908355724, 506092989, 340123593, 326152326, 1072713691, 892981445, 343229362, 864487075, 935025036, 1051267163, 297566785, 662701356, 373214486, 166663443, 754471612, 455774997, 599936721, 705560891, 482671411, 1846798, 351509358, 661887322, 59615166, 310948607, 403308972, 613004574, 645266269, 762150395, 57439211, 665428096, 907355617, 366355973, 782140730, 998384205, 93704632, 819561555, 237134608, 412243098, 241933725, 882385798, 838248340, 1000403923, 564738448, 108763801, 131851307, 472325856, 385291882, 231546564, 865863889, 617835168, 350887479, 1004207752, 607553404, 706711837, 822813186, 67695466, 703021752, 538778025, 1065150175, 871363394, 424391847, 425207258, 723631024, 1035318602, 995751945, 602399689, 409684584, 904269055, 997039994, 904002113, 1060844545, 769885696, 1047298807, 177646951, 503986124, 253909354, 748959384, 458394760, 285008194, 444879737, 873943941, 270604615, 415863893, 609882169, 18189482, 92593263, 740797883, 331447640, 877580417, 449015341, 769987658, 325882262, 722198691, 782732269, 561623447, 18218770, 70343508, 802661867, 252648848, 259969096, 470854111, 1026776240, 500493884, 581582298, 975283636, 225496365, 788079981, 280424590, 558939948, 277699601, 321653541, 10145280, 113990721, 1027177616, 81241660, 1032148595, 616782804, 598353171, 529596200, 843432162, 511908162, 127513388, 694644954, 902140944, 619669214, 837054852, 1008730245, 716719268, 122529484, 430456515, 961670222, 486187401, 19576901, 725482607, 298531641, 977658429, 85748299, 1045795425, 128152676, 2611352, 721275667, 172036748, 150789272, 165048050, 1876894, 499818837, 689111384, 112130572, 684591642, 37632456, 159531016, 861218107, 546239422, 677857699, 168431098, 751082939, 527799229, 1016482897, 489181124, 399241647, 43757948, 1066261960, 392580790, 750781024, 161516319, 138482485, 261097950, 23589734, 870139631, 647188670, 734919037, 742011754, 789962736, 527508325, 279051444, 20993894, 448659101, 441008136, 587945910, 9067978, 1053691194, 890662824, 392357460, 316895487, 329376013, 166712178, 908420990, 583451227, 541483896, 179887795, 413293431, 235289876, 662248143, 905771770, 591193095, 652507557, 815026463, 543189895, 343531082, 297502092, 601666075, 947434049, 1006160794, 98947832, 418886463, 1044189638, 91195130, 1012632791, 332461908, 316135215, 844660503, 470181539, 378294671, 972928792, 967253253, 575332569, 291751476, 1063562173, 526115271, 979588936, 171500809, 635870670, 932811944, 792564595, 1039535315, 641832553, 64337720, 57170943, 622730240, 31248853, 154080714, 785041056, 836498008, 217370829, 455279441, 678741334, 575807697, 379327677, 523317136, 967972706, 295032478, 951137367, 335610968, 805732243, 662496619, 1052980693, 366481811, 587189255, 400062887, 118825469, 740946241, 57712273, 453007622, 611996598, 339427310, 311662722, 686149006, 1058939978, 731300924, 828129032, 331583368, 157130773, 395025377, 874591490, 985279667, 394894227, 508011715, 764118777, 468052187, 702644047, 123982705, 1011434953, 639628785, 119636044, 778768061, 1001970300, 286320037, 115393666, 903336873, 384029497, 838838664, 71026231, 524757285, 732486477, 517513983, 307330633, 978079774, 871309038, 862026539, 606587442, 5911017, 586228908, 32141756, 390242894, 864296810, 731430437, 261099633, 917557460, 909925691, 597580953, 136807533, 759077182, 522650311, 138522316, 761040183, 273280936, 580889591, 729206949, 816188248, 708407522, 648091954, 246381731, 996457240, 857274285, 91964667, 502256767, 722512489, 122893167, 218486997, 724505181, 510968705, 355527788, 929084780, 64403302, 626639281, 883628432, 950146141, 729862767, 117230385, 285338220, 883923994, 722905428, 605884657, 1003206986, 43840085, 476060624, 626538437, 829513066, 326303688, 438699572, 904759630, 49722031, 103849208, 192962359, 1003021254, 604394491, 914931270, 90057869, 344661807, 585559475, 434911440, 408344273, 933504818, 9909027, 225833989, 715896284, 272246877, 199413282, 42129370, 1013640564, 681988493, 870354046, 40251811, 869643403, 522182464, 735335925, 291410627, 843927549, 940217004, 236515858, 718043195, 423880546, 33303892, 978799429, 1000765402, 684883996, 765983934, 534987600, 841230113, 221124240, 576879992, 816271292, 442172366, 459437710, 889264445, 221781106, 1048588841, 579430105, 372450287, 876746112, 109328596, 612320054, 438661794, 288305742, 975307017, 625890975, 719538733, 964410491, 805189737, 354829607, 952827817, 367773743, 702656209, 192985017, 318127186, 1062455462, 873717781, 665474305, 494925633, 160775497, 194927032, 45727425, 832330569, 382474592, 504674974, 1067645285, 519670347, 478846832, 682043636, 425241449, 1003420111, 262512313, 638869533, 399802777, 1043567300, 740535726, 86005710, 1022662444, 276960431, 124847971, 695372147, 914911056, 168314140, 23190494, 16306275, 270135723, 918813402, 859488262, 888203892, 601164682, 361542138, 648318451, 651555533, 429827948, 74046637, 512177601, 776229342, 247244042, 805476032, 948663192, 871808530, 284518788, 919673899, 844359144, 188272750, 218102487, 607691834, 90381001, 911873727, 535808351, 866023730, 853756266, 135644498, 632059037, 1002002556, 494021894, 11899952, 688788951, 555001581, 878905685, 317288143, 350779638, 994317014, 788278655, 473055360, 657543323, 900236139, 176055823, 925746353, 827994831, 829429451, 295239702, 250057292, 274651569, 1070286972, 265500949, 572853228, 391904999, 252913605, 175180753, 655624397, 751405972, 632079942, 395675263, 737211765, 728797811, 896015797, 285890817, 965976548, 901743730, 982922192, 1024452141, 869936805, 690996082, 1058156899, 974871317, 349102744, 431058561, 1004079375, 234411954, 328913872, 1037289116, 912758750, 736785498, 432367225, 753876162, 518589403, 1029145720, 274917119, 672700593, 811559419, 270920489, 952737417, 138093936, 99897912, 82607001, 75009891, 700086108, 64618975, 488479653, 681865075, 464994910, 330734446, 574529627, 37625554, 104362861, 277160685, 849237508, 438688131, 69933527, 937551258, 163424515, 146309506, 767149265, 275948146, 956680740, 222923109, 791665349, 397310828, 562426553, 363577979, 555002015, 410668229, 201803599, 1070128086, 797461771, 513000396, 521463549, 835237961, 325065034, 810451141, 97596933, 1037004227, 3057240, 744005620, 86594696, 663876625, 978048703, 475606045, 322766062, 751288879, 552008175, 477144787, 631392541, 288126191, 438059718, 819043243, 775870141, 658127925, 1041060024, 741830405, 472214602, 762726013, 166307407, 561191683, 1058966277, 735291778, 480143371, 659288112, 73863410, 381085686, 38535514, 781733134, 771077840, 1044992027, 886198596, 409373867, 479262573, 604564422, 524092191, 646146145, 412157991, 534714851, 55324834, 597151089, 23450631, 327616161, 718554238, 585516739, 1031377433, 691279092, 336379720, 622598826, 568415032, 990771150, 270308878, 355179060, 902492842, 948999061, 590555844, 1033221299, 1041423931, 266928989, 723112923, 375151493, 56805729, 684721187, 426590797, 115139084, 264354954, 904040097, 771607333, 598958091, 177902649, 1032807122, 507494669, 203804039, 98775084, 285933724, 98278580, 316666926, 184644086, 1031299662, 192979681, 967887349, 211489675, 595217887, 101333667, 171724834, 109735750, 349996654, 227397061, 730796568, 1061122042, 629688763, 120627019, 522715444, 64279937, 273954130, 970067733, 60514365, 496465414, 1064214618, 722365759, 446004450, 934381036, 306179095, 1062011954, 869065029, 240842183, 140576445, 693928537, 40432254, 148696883, 903509577, 452726000, 438521152, 159998084, 1066879066, 618038497, 596226062, 116127665, 622581370, 876346858, 509715212, 440670249, 581777194, 160944839, 912822766, 312503759, 9569512, 839918138, 716883643, 345939153, 892682406, 339623116, 423224337, 747029378, 15551621, 649726543, 207312241, 1071684576, 701014380, 90534907, 411975861, 362072185, 615914767, 48962923, 504579304, 789770421, 1041283176, 768866064, 139970823, 690477188, 912357531, 376953613, 724399418, 909857947, 547353891, 373889889, 733723561, 651850356, 1050136868, 342303448, 152014619, 220100723, 844642047, 367574177, 982160404, 453543431, 982903350, 15186895, 320756162, 467176358, 427245925, 44533009, 713321303, 564237590, 298541267, 376799715, 814623839, 957089406, 339915388, 800125242, 989219092, 417799338, 98773162, 839523936, 881469485, 39934320, 347895604, 857332390, 800601690, 529830443, 849607429, 54260021, 720049902, 453020814, 413497578, 180556702, 317867939, 412139943, 132280261, 286999963, 683828461, 588968349, 845717913, 152563844, 231262428, 905203311, 97882960, 593499441, 354250734, 450791650, 821056679, 1060583278, 654911405, 546394901, 845663852, 802816848, 797906653, 808852630, 742006253, 648251928, 935993959, 120888950, 355410149, 43606530, 734200391, 334156395, 108588472, 442346283, 506460950, 282994174, 229337261, 699647674, 521543731, 737585493, 43394934, 343553752, 91336680, 413259278, 575761240, 201028331, 1043607062, 788393329, 229884744, 162126437, 881595370, 767369673, 629699446, 57291013, 124804416, 1014043033, 658039099, 682414108, 112491395, 338100196, 866475275, 363939305, 501273677, 813180821, 306851362, 530257762, 969528037, 725955864, 82802923, 385787316, 327739487, 1013706570, 818634918, 99607653, 826172820, 966616342, 657374313, 103259232, 758484824, 825896955, 97277120, 967445616, 1064406782, 779494849, 126500296, 350603593, 595747334, 462604456, 576287491, 760614286, 304936349, 786659053, 342689685, 889387831, 4882392, 460959895, 220199057, 220037578, 582413209, 505941904, 213414274, 188663596, 407245753, 906164013, 949594534, 402622725, 764731375, 669315373, 517343230, 27312573, 983276776, 1039720760, 769308950, 945904972, 1056964577, 413516017, 9400326, 678864527, 480503976, 70702191, 67090144, 77036898, 395057108, 164946224, 961985152, 71618238, 127705881, 1001606832, 698027424, 717847147, 1053387431, 990291359, 813110318, 300847446, 1070867729, 587248702, 817889126, 512622350, 478889390, 746690952, 365879740, 552044863, 849601274, 409656064, 261642225, 739928931, 383721603, 564572823, 387029320, 84226533, 1048354479, 627828165, 818190370, 406729553, 752951853, 384018530, 892446041, 599562251, 529402487, 483180178, 139850240, 583849127, 422230311, 310087622, 773407602, 1054889079, 688243624, 630197398, 13557777, 390884185, 238350531, 737930962, 62605814, 1050498708, 118818866, 858986851, 378902203, 5830486, 533482935, 97467692, 734567477, 242018782, 209915277, 336466741, 75504971, 634315651, 906724146, 874458786, 900574784, 2759501, 359041545, 814384606, 443736574, 855166115, 872706521, 30944312, 318843748, 383617549, 109979954, 1021448015, 782856169, 496392365, 979463034, 574300525, 225497, 236457561, 546793187, 918517842, 766333439, 905816657, 284505323, 222572081, 437640095, 939334033, 460104966, 604024040, 425201654, 694379812, 731616400, 833685536, 312389602, 508891403, 126320778, 810631807, 352946166, 647340095, 439233445, 77599165, 961127955, 692644784, 559602355, 451223425, 895481502, 745432108, 924975924, 207233351, 950816815, 915756329, 147937893, 867482386, 729854657, 578247166, 256631373, 1072097084, 58282974, 231710337, 795702560, 952451153, 284945899, 270475842, 152947425, 618025795, 553789930, 681892643, 1031705404, 603610130, 5134264, 348802747, 766459107, 352599638, 633618929, 307884391, 1005211045, 500778879, 921219465, 1056576947, 499606636, 158025371, 975468293, 783574777, 704252234, 306290337, 549818473, 90731228, 513858363, 640382038, 814877275, 184621719, 392803374, 20235737, 162888190, 226423290, 709693692, 765162677, 255442555, 28754619, 178771867, 542404929, 608310975, 811835230, 83204286, 164728369, 228287558, 305352534, 365125799, 879142210, 984572542, 166244860, 734849463, 33430140, 117569877, 130734640, 494039803, 710074951, 644080544, 638128338, 680765349, 780095810, 1021453887, 389288206, 816083268, 31574065, 618345318, 80970926, 710682565, 915872161, 459832748, 962488291, 834110868, 485403102, 375909062, 996168718, 296818448, 442909451, 902992667, 805660522, 632391008, 895069155, 354296705, 378729488, 654807286, 574773814, 357212555, 591005814, 365951237, 618885, 936794710, 333160692, 128745036, 478631517, 488995249, 685440881, 194246558, 817808644, 436194468, 151679517, 576697973, 872865560, 100695234, 1059153346, 958021925, 774071472, 607080409, 1022328864, 898997270, 773713061, 403566548, 563338955, 202429330, 642175292, 464904638, 777369289, 787910456, 4854468, 877864062, 224479489, 860065795, 548378363, 51088049, 1031716639, 501221202, 466864006, 1046155891, 466592976, 78008214, 472826159, 572130446, 653933970, 735969158, 958299571, 526277639, 473534889, 514363886, 395206557, 183911324, 960222712, 938259077, 1063129765, 420707698, 504700475, 746394494, 883913806, 446000419, 577894695, 555143256, 702375032, 597409643, 249450835, 387420916, 940759818, 607458357, 915142560, 815737107, 232169569, 733734012, 476909732, 1063653795, 465956711, 607534032, 389590640, 47500706, 839768387, 946007554, 871170835, 658167118, 115583539, 645890518, 499527991, 266398350, 935186411, 881562346, 318475009, 3605132, 79581573, 503675765, 310887030, 24156955, 1024963719, 11724040, 25047607, 1008668898, 857233151, 954417450, 702813451, 496037003, 495811693, 833935864, 649627937, 965155909, 588631272, 758501007, 124755280, 778323668, 139380570, 968217998, 1064048843, 355412502, 374710505, 994561796, 1060427761, 967271805, 656393607, 758984719, 521106130, 1042593182, 888277418, 955288374, 1022241201, 766620967, 1050376503, 263834886, 596126046, 1054936589, 951497239, 1021016229, 657075156, 327146222, 857233053, 1014321402, 836878517, 858329112, 410261453, 724610304, 372710693, 522000193, 535961983, 533490800, 36889978, 1066552231, 860777861, 132923190, 818164681, 431678626, 272348365, 112456685, 191117933, 661560582, 505815825, 290537044, 152977282, 1000809012, 52365494, 696440214, 263433914, 257138125, 1031926841, 878127976, 477615589, 312984500, 873247796, 326857396, 815682531, 612450569, 757503137, 963529871, 651872922, 718604269, 50073778, 443214267, 833932948, 909209440, 803709025, 963379950, 442945706, 587833171, 959664112, 161433896, 260180989, 743631291, 707034840, 748966191, 911594303, 1059991561, 712093672, 1012164, 388387707, 604175310, 359082166, 743588936, 817589893, 218115072, 526414831, 360867932, 201546484, 554530255, 133051014, 375033967, 1032204014, 126618774, 516350024, 1017378384, 565778448, 559179272, 220845034, 171970214, 610679982, 1019587306, 785882584, 383593917, 463180378, 828072858, 454005437, 224808823, 960512423, 1042622826, 235658936, 696970334, 590260945, 691730452, 1052309586, 426287240, 125528296, 865773452, 37944604, 218370031, 13386792, 240257523, 44595459, 116586810, 335297515, 990490596, 414606641, 310199041, 190453971, 283268170, 493519684, 111565897, 395867601, 406040333, 132428540, 754907837, 264774722, 284443815, 745753889, 98795123, 871408070, 191748479, 230796839, 406276383, 75124874, 1024364390, 940549034, 932513134, 987917895, 697001249, 1005443320, 861077726, 199337090, 250780538, 817150268, 524103049, 780861147, 326662733, 169309319, 425328742, 151284449, 1056479384, 826197268, 401648371, 505538603, 130424605, 175117828, 246470526, 131875422, 877076894, 687180103, 450639061, 529786377, 98992779, 878445753, 572883354, 640024927, 576955950, 956162555, 587926, 204690887, 1043213844, 428542734, 211231849, 874738064, 294577947, 2057985, 713871136, 130224597, 564063964, 729229570, 492303146, 524239692, 873027159, 225283412, 755897222, 468929022, 316223541, 351310767, 160709397, 993342152, 384532927, 449074228, 155421016, 758482227, 901713828, 234482861, 266454050, 300954031, 265044803, 744927290, 776336351, 421224194, 66005207, 485387516, 404973286, 677424510, 636814100, 790578148, 711553042, 24156028, 920017681, 394565345, 510246468, 633458243, 907732886, 567699732, 955685571, 1055402682, 328595038, 37549436, 567475838, 569181258, 432730802, 116643920, 338785226, 576079555, 784575913, 255613406, 868215622, 1001118607, 531783959, 963660183, 882539926, 610389599, 777777129, 674220690, 1039994506, 404859221, 65676744, 506308195, 775327279, 319666002, 445709465, 282922157, 413868103, 834852327, 56836410, 881229980, 563034687, 718864738, 269573958, 610462902, 364643176, 706806085, 197030960, 107022807, 301751220, 213935616, 1042677654, 713219007, 956228177, 1044725292, 822151225, 1976772, 13009308, 163824925, 368605510, 747475898, 444602474, 345017853, 542994922, 51830647, 1050501938, 943151703, 44236435, 935256930, 114507541, 238151032, 517269308, 616517134, 587870739, 97586995, 254078796, 646076410, 629578992, 846416649, 880856363, 896092991, 307446326, 1046640231, 337873424, 350502235, 72648497, 629103204, 458074860, 300000566, 772554888, 123992506, 179193902, 884997751, 885842902, 1048197048, 713611731, 949090612, 556673490, 116030337, 935108832, 110864014, 594570738, 919510887, 114876033, 267493030, 90843791, 472042684, 584770765, 349332190, 752095705, 666887943, 913770975, 630498631, 965533592, 995416273, 1052065942, 842394772, 43492879, 1051044852, 977106159, 353920614, 134667357, 427098296, 660684855, 429859414, 316267331, 205926561, 74899284, 534211147, 744710607, 785958232, 305333060, 119152557, 49390097, 329980339, 824044297, 719247514, 685613190, 761930067, 739930376, 781417868, 716628520, 561076673, 1066456785, 607193501, 196859966, 499522069, 24757792, 1051710011, 835932709, 944601373, 939224491, 737716293, 10739509, 1012221541, 1014734242, 227931912, 987779080, 870368171, 614581424, 781145517, 211737279, 446458286, 482903247, 350729524, 932642658, 742193864, 198695609, 980471822, 697286215, 383023978, 503829365, 989308521, 918025318, 1030420975, 57344450, 207471344, 1023489585, 947099981, 1031165268, 430112271, 318612645, 672660409, 596760080, 274158853, 986311143, 37803067, 456098320, 243835379, 75746464, 743009097, 625089751, 235990944, 28116832, 33275943, 884724041, 805546290, 689717664, 1068785693, 998983645, 928724534, 187434539, 522849901, 968032756, 647746822, 579473480, 52842144, 501084335, 559736589, 246485739, 421235794, 1045852410, 976702696, 613199034, 884029496, 357891282, 697862375, 934022197, 567400199, 825311730, 90699405, 708588315, 840894140, 477890092, 110616265, 641019936, 164275662, 876414987, 538178738, 125696331, 187466990, 149750452, 398441097, 16647931, 591488096, 330354950, 214194737, 330191721, 754130659, 170012954, 505471055, 355791438, 837644335, 140990557, 482788430, 29111766, 187105747, 797239363, 338398569, 527989052, 852414784, 485117793, 176547755, 874235618, 733270670, 655876878, 382307753, 1038296703, 545939241, 991086430, 709901733, 219841452, 549403838, 757538450, 947255737, 477745495, 94359254, 1062285065, 557320564, 499898748, 891747444, 421128477, 322454942, 350807933, 286283389, 840646377, 525225947, 1041774595, 82681729, 746741500, 260045970, 517864806, 579758323, 810952761, 487612821, 1011737275, 773675204, 424431091, 153668643, 300060228, 908414358, 37021960, 923869581, 396954055, 367333847, 90952563, 923106871, 197245298, 530189579, 469829273, 353463984, 98794274, 144118158, 539699181, 449269817, 291099218, 796614089, 871169496, 924858651, 205476217, 796624729, 981442297, 160036580, 901227499, 273413352, 179020019, 930861746, 87954081, 39861066, 96033707, 300361071, 496032404, 138792834, 675120125, 536903262, 194657976, 672401787, 292639805, 157321677, 787699955, 905403322, 950052036, 675590649, 256224258, 626776367, 438431302, 479786745, 142858851, 96546036, 777118775, 730698372, 331707592, 1038337000, 280493118, 575575820, 935732756, 845078861, 839738083, 1044401718, 941692208, 445918754, 906660676, 441365910, 677081517, 466033794, 1008549334, 602848949, 501730786, 610409701, 724895038, 277888164, 292030864, 124251413, 559094038, 484840065, 258453651, 820574420, 1057496271, 755990293, 923881939, 368610783, 394754528, 417042023, 348723616, 736706259, 605167146, 496540163, 366221735, 9069359, 376188829, 1022460416, 881761492, 846848313, 912400256, 514938479, 899664360, 767313828, 836636523, 795560841, 344620322, 273649843, 705136009, 58543666, 118652649, 188780927, 764865319, 209357266, 419673743, 1047498845, 1032253195, 863555899, 305503342, 290571729, 109690356, 326005827, 746782683, 493778351, 726503821, 564337891, 166424558, 351102208, 288490367, 593826343, 735853505, 621126934, 950778362, 521796742, 89338121, 954643697, 346385731, 184010851, 79355598, 554905415, 943415477, 62056275, 191175968, 39004730, 343068656, 587403464, 297011502, 1014266929, 448006528, 1022873293, 821412218, 189831258, 908661056, 938149636, 72954468, 310339299, 890391068, 926805037, 2385192, 596180076, 839606485, 711628475, 1071191381, 192468527, 299560442, 411344423, 827450598, 954489362, 987546979, 646413620, 262611540, 848019698, 912643368, 691429582, 309040196, 980119351, 561697267, 894509178, 904908708, 496194737, 770884387, 753985653, 1030500642, 9751087, 767756384, 870491280, 369642662, 501875346, 572364344, 148441775, 889982193, 320602645, 775256800, 67889716, 81059389, 126133047, 114979484, 203548458, 492416999, 209666040, 363315976, 272818991, 267269415, 4299442, 746409446, 141114652, 934456553, 785267337, 940671113, 844796176, 841348264, 429173132, 69938567, 647803914, 113231350, 221843697, 409814476, 1040328365, 612361695, 695244122, 559133670, 290788505, 19251930, 627136276, 63556820, 406108684, 1016384576, 341476297, 37803586, 23082310, 386425172, 910032412, 465746994, 690395688, 17617569, 128407677, 247023659, 295742880, 14960064, 94788107, 1006792957, 1041503086, 16832533, 711966053, 91112297, 783441757, 283187497, 1019561789, 480423784, 484512229, 75819369, 542553845, 674732009, 811280898, 926532582, 528381130, 89538980, 418978913, 411063819, 954193474, 921235388, 505650098, 932629044, 159751115, 1070111743, 443629165, 558594638, 194396701, 260662498, 153801497, 781711946, 984034862, 247615015, 21476048, 875538290, 167915870, 100110091, 228728646, 782814200, 813518024, 927832725, 954513792, 135258711, 182673404, 452928411, 154187865, 691313648, 892443241, 911076916, 1007222500, 575754202, 419260615, 583454402, 1017928728, 812465535, 244290182, 451112807, 855125276, 684926999, 354834501, 421589909, 735259129, 356333943, 617509675, 595536907, 904594662, 921133694, 1031067589, 56828998, 681043649, 715887879, 736693700, 262906305, 649874149, 512466993, 68095433, 733721739, 976239313, 572530142, 361729933, 710666848, 934060609, 559077491, 790849609, 25349084, 138427431, 439670165, 921542447, 385613771, 827608452, 1019217565, 737667210, 596461329, 687191699, 707694031, 788092880, 552832984, 791991517, 454846405, 939991695, 683311543, 761460605, 174288361, 288079635, 803293250, 1062259831, 17373793, 147790129, 834600167, 60716013, 656380662, 134252506, 965346461, 74017089, 486761197, 935664824, 780940890, 842877977, 342194359, 550298033, 1052975832, 988906708, 702227431, 369865690, 213644265, 171329504, 491938758, 812038373, 11576746, 690226803, 943903415, 296975737, 16607048, 505402074, 218266691, 58414327, 975424291, 1063767400, 31500479, 277332007, 795551381, 45842817, 485575347, 769207035, 541184175, 722259537, 166198486, 219533849, 471788376, 591172041, 673924229, 748192821, 233287866, 447224796, 654531561, 985356688, 254881718, 145839140, 965548647, 208077274, 898202631, 449839251, 446745890, 483275944, 265766617, 652720081, 344018906, 11398465, 657261807, 231667940, 232174217, 723704533, 306350891, 866235367, 999701335, 311138042, 1058295569, 429828524, 317157304, 990417220, 1072295797, 1072755790, 893929980, 189272840, 82567108, 899386452, 128735430, 738991449, 378390305, 211790880, 1028737936, 821539327, 813314867, 172416353, 86329468, 883011520, 1049442948, 46955228, 27585879, 636115294, 487520789, 233729141, 341532976, 1027822658, 450843634, 416663697, 502658535, 675035031, 137237357, 1069083877, 677726779, 341140164, 745408758, 976616713, 763962843, 720725938, 183918151, 956409980, 768889651, 550062120, 112164946, 252374196, 121508172, 922949317, 235335067, 913975656, 754907129, 712111424, 739157000, 791931850, 451355506, 406608171, 859445311, 1011567881, 205292312, 8302777, 366109838, 836522103, 624953054, 741821447, 729110432, 941629837, 593130072, 148288304, 648867633, 705009702, 827394605, 1019790232, 737863820, 1014309535, 816458456, 893494749, 27999509, 890432478, 350973651, 107158304, 965923138, 111443974, 666779068, 417487774, 933869977, 706233169, 731182287, 561866635, 727829048, 870800972, 594721981, 587251948, 119552578, 409688143, 884591083, 105250153, 151603020, 86405930, 655193817, 319605191, 522430432, 276992270, 197755059, 511662614, 944748221, 153739070, 115217306, 341431409, 1002736769, 169337134, 694879049, 329828451, 156668457, 1072884344, 541276890, 20072862, 968976810, 386935017, 242899340, 130453751, 957884825, 845515181, 120080763, 811309945, 693054333, 702566010, 13720435, 993456277, 697055543, 447703127, 154745438, 591787026, 15160424, 189919701, 392053489, 758702899, 925646898, 757164363, 227311723, 459611330, 932344365, 846488167, 501823102, 288261576, 449572078, 950989660, 831718007, 624098387, 754199826, 3460695, 115928742, 305505736, 462716354, 758584215, 308421954, 349456396, 53802307, 480760825, 309224457, 908642219, 762793953, 195093346, 457519384, 696927898, 926384292, 812733246, 738858861, 1051550590, 276580731, 496722277, 300756593, 539337655, 361408887, 30898775, 780564420, 29547430, 91813542, 348366415, 686354715, 521411739, 84925082, 860665322, 545842008, 202313059, 415489833, 454663444, 87798350, 812497543, 849007746, 120790903, 46559800, 9000885, 207067232, 901067590, 707736471, 969663847, 1030257333, 623073765, 201137782, 176570988, 105772029, 408523437, 383751770, 428790289, 505193531, 19261269, 668589506, 976351921, 655865662, 542062994, 850596120, 551907838, 224984420, 857661425, 595953491, 152753312, 654430924, 887024450, 326998411, 877586921, 629559235, 850574371, 539250817, 1048460612, 788245849, 153593697, 604240953, 291792578, 558589108, 599973985, 830917787, 436646294, 114493405, 45813896, 1049910133, 987020436, 1052403061, 352863469, 333180753, 898062529, 465141101, 182793280, 328770938, 966376703, 557075970, 181258866, 639112823, 464921195, 3082736, 683474658, 835063229, 643836575, 33699277, 340074548, 991091557, 182630499, 69962224, 105335745, 15905558, 757255637, 519921726, 994233402, 789636581, 619407384, 646792374, 1037821290, 404156123, 738090789, 96077485, 697550467, 690654843, 936543704, 970461090, 479517250, 897188299, 855206809, 708124244, 905862273, 199378652, 920951587, 29077656, 882277215, 236321034, 460680704, 613942788, 426993624, 383609775, 58346297, 654163735, 865117069, 834341035, 1011910207, 759749065, 34695252, 260248348, 241961322, 933427819, 1034586858, 522472191, 392499344, 346729295, 286768576, 284556959, 467335612, 872609451, 962997467, 191763432, 1053090823, 1013284302, 852742386, 821749685, 197137819, 1021546463, 623215208, 244213195, 782565092, 706254425, 167464290, 307663004, 121494005, 497325848, 432301214, 316272779, 836884323, 636204518, 315383368, 483452563, 845471326, 619505642, 248128264, 70495256, 39502682, 716400226, 295791561, 846964477, 797306088, 366423644, 339884189, 1018749635, 662696807, 653722482, 795945112, 269195587, 402811101, 454544332, 892958868, 729467551, 541825325, 185807834, 919106599, 894034785, 86031971, 52097387, 162701192, 153619046, 1046182183, 260187234, 939033044, 964748590, 981103880, 4077773, 235372753, 780689300, 1020664859, 278726351, 35892045, 617926509, 540314713, 423929585, 392407998, 752283804, 553112929, 712765277, 42497720, 319606042, 519356799, 960287963, 859615854, 684214743, 815312709, 531677988, 604543675, 94072663, 272270017, 426063028, 362958473, 800021836, 888393456, 105753715, 1054336839, 277182935, 400411597, 963216442, 119627135, 740303245, 459605039, 672274097, 1022606923, 39986745, 281204344, 540732359, 786807593, 924576310, 987336166, 686284193, 337117033, 471975659, 354957832, 596300611, 309243151, 348808861, 68361556, 241093096, 534970993, 1023020042, 929146955, 213905547, 114475440, 1053144002, 445650322, 702618003, 1002905920, 697268549, 924052499, 438512768, 14317499, 322301051, 501431544, 533686918, 297073963, 114640385, 1062147730, 845910215, 217336038, 729153595, 422364633, 195487148, 778608260, 434821053, 1026760672, 334276113, 486694757, 91708342, 677724005, 553140084, 673478056, 1052708641, 520572207, 957887986, 492875037, 706662667, 710444260, 98525732, 767595296, 972646908, 222818896, 466135336, 930284870, 113006695, 918665925, 273651663, 826337648, 935251117, 458186711, 441715549, 451090566, 112159195, 595729830, 805881159, 117963491, 975860888, 765860968, 677806981, 872743070, 824522963, 136940826, 521551475, 754358276, 627423681, 405929209, 155538550, 866673945, 414204224, 264448290, 704264841, 605267208, 601184354, 533345845, 947652981, 851827811, 550644094, 865068729, 19090840, 965644041, 342934320, 735343063, 341272028, 1048508323, 131548904, 215879498, 441171450, 1036326545, 238025312, 778390698, 266216230, 1059404161, 1023343648, 223493710, 421582501, 264686558, 585660805, 337319723, 722198349, 76636874, 548790887, 701705402, 1073672495, 790815857, 940802443, 369086418, 734668829, 1053270725, 617176902, 647794911, 301298165, 449867353, 992869883, 507872498, 789286001, 808888454, 642275676, 821209267, 780894248, 783978103, 74836754, 641295111, 916190546, 956514146, 30005012, 563959453, 421854205, 857778999, 704320595, 1058647888, 788659965, 640072969, 151941149, 34569276, 153832098, 660205311, 611148960, 375819434, 213768520, 799200062, 574770179, 331364910, 269576162, 666497145, 1042261623, 309863849, 74106319, 376815467, 909206026, 18931894, 854990586, 620318290, 258488651, 639598412, 897835463, 626668270, 981726604, 802885197, 1025999243, 992206533, 699080654, 671238268, 319151973, 575019865, 289015116, 284145868, 12810597, 674914831, 713060651, 378869823, 571968750, 705475504, 888290919, 88455000, 176331967, 96346798, 69988025, 572441139, 108782288, 1016265491, 447996320, 48881789, 263239838, 828759469, 835352730, 379973072, 247879230, 816063952, 339714743, 38623354, 512617732, 966691472, 220700422, 156982002, 601451038, 143260658, 851323324, 357361271, 672197113, 468780400, 1007111075, 17418867, 937320683, 325130178, 933643624, 919269207, 1018216662, 828589171, 674990177, 57866926, 815277692, 136335277, 806382867, 336695789, 873235213, 657432257, 953216650, 590340385, 897647972, 258969842, 1678751, 1042087786, 444725886, 677951891, 386423047, 1029802304, 941042691, 895631771, 199490608, 954315415, 153597759, 290824279, 583955525, 659507026, 975554208, 458467318, 4495255, 512820664, 735342590, 164938103, 370480753, 647486133, 779367929, 881825047, 1031390408, 720454374, 863981787, 392674358, 942334307, 139782043, 33709450, 303404861, 867131518, 413366803, 546865147, 88910635, 758861428, 49894643, 438064300, 34787890, 24169526, 371771632, 67231252, 645443991, 352733267, 944372080, 912848443, 729116165, 1025977703, 270712778, 74923754, 963483273, 774999156, 627542482, 903336619, 716136576, 856684312, 770812161, 801319890, 775579910, 907961021, 79180677, 441215559, 670613554, 840545426, 121881180, 753968792, 208980584, 72636647, 302357202, 580412959, 355688547, 489051774, 519256672, 628930646, 897733575, 488598835, 1015330748, 343112876, 580757253, 1020078870, 510900748, 649263718, 55608780, 822902957, 640229021, 616280628, 922189452, 585608230, 945483627, 618255306, 549019196, 331067251, 578744846, 371616822, 1067890944, 865440960, 656930596, 738916704, 453091720, 872045650, 720159682, 865812844, 565981067, 970968412, 631773224, 689588485, 235139258, 1058713765, 209583418, 986551266, 878990356, 740655330, 900762424, 212911275, 859708993, 327658798, 240306048, 70530679, 451055454, 742468433, 672282139, 608409488, 535506877, 236238276, 924650178, 592456105, 996932238, 85262597, 457912826, 664198850, 111583268, 239878833, 1064643343, 5357172, 1063488536, 954264014, 1031551977, 741818656, 622440129, 5594480, 949563119, 955371679, 345212417, 534163656, 544941928, 270604256, 325901339, 1062663700, 686623475, 75515251, 601917264, 938914063, 131147410, 944286617, 459699953, 759442677, 870668584, 954532938, 294866635, 255371854, 154685577, 213287678, 750303337, 819514485, 147847955, 763040973, 391823404, 976918198, 1062335396, 420055483, 63983300, 106956385, 140130404, 60894043, 212285333, 138510570, 970360059, 1008565604, 600741772, 471157501, 889752783, 790969591, 660821296, 486664689, 175624525, 623900231, 974620076, 136271498, 473214644, 147755211, 979716636, 530099743, 1008901574, 643130119, 221112375, 306762861, 211359933, 951073246, 31434592, 868232792, 791690546, 229377214, 211543635, 299840179, 282613600, 98696349, 291320876, 75399200, 49953286, 889811311, 792068556, 201963344, 546716685, 754104325, 10499260, 1028251169, 818310543, 482566328, 826732353, 55756360, 262971612, 391292219, 922295848, 313481011, 74445232, 174596461, 783928804, 655125343, 479432405, 23649364, 366925478, 116672164, 805746083, 216046931, 801983136, 795785449, 745539806, 710758113, 566612086, 145883507, 391589910, 582388148, 527278924, 274673938, 917945505, 313558859, 522408368, 133003719, 666508539, 959240571, 825706906, 566383108, 1002902778, 551923278, 180629944, 207994089, 241151209, 580115606, 479030379, 113642817, 623966321, 375060749, 116628046, 911649637, 877388828, 695991240, 542979881, 417079536, 303357693, 158032164, 3986860, 120096881, 333820141, 595558901, 1048919788, 788384858, 1039377708, 841705432, 142864190, 328847815, 840007238, 1035969765, 428268755, 367360885, 482493226, 481884257, 107733928, 409218641, 99464883, 830883207, 170908856, 562166607, 260147488, 819401837, 723875266, 411345408, 48540384, 586386592, 974099158, 114128259, 478812307, 1064158957, 775161925, 635297698, 365592138, 917573890, 425812345, 267130507, 554160340, 573457360, 555157358, 550977123, 289012601, 205043888, 285871781, 236472161, 238671146, 617023211, 547293790, 427354409, 407937597, 164434765, 755958369, 1003120683, 526868965, 58442506, 987599134, 359209633, 264200835, 1054690261, 1054042081, 211180938, 246019800, 182151158, 56863383, 573836786, 136543609, 1003771257, 334031399, 390364903, 1057314316, 870688798, 246544358, 72163617, 1032683050, 1018593946, 152568934, 142961979, 307429852, 985231758, 819867986, 391068835, 190769591, 255379245, 1070893949, 1052683780, 221264024, 595076179, 499041790, 890954208, 251941253, 212432229, 796458105, 813450265, 934746999, 528063779, 326296145, 686572493, 479220009, 155122010, 318050523, 103191657, 220630169, 14688737, 17353005, 783138656, 376618464, 973778198, 554475192, 95652576, 409405885, 449586489, 1000735669, 675105742, 398189479, 22608683, 846305481, 83800016, 596486986, 540920138, 269268464, 378013479, 815397645, 210578909, 309366133, 542648223, 341989137, 81417065, 76585154, 681298624, 906911436, 779551564, 137441224, 627551316, 703145042, 108956898, 169333516, 895686523, 74677981, 421177467, 1069493103, 198968884, 248943418, 1867154, 1041014420, 82504213, 93046289, 148776133, 29627899, 759328070, 165701848, 673276183, 209580297, 1063067905, 214944827, 507717251, 741834083, 743854655, 590803851, 595068074, 817023726, 585644644, 321250207, 895419879, 677728677, 352934631, 639276802, 940420547, 228872888, 995249063, 192576074, 40873374, 909633291, 567793420, 443235994, 282396712, 24820141, 687630674, 807460215, 595127367, 347788776, 546201784, 139608552, 785527712, 672333132, 323651406, 317050398, 572148527, 939662137, 214963406, 573854808, 642779392, 586690742, 556521480, 151123102, 772590557, 550094745, 513093890, 146382183, 1062100302, 1300507, 732643551, 395596653, 298571932, 77184759, 740326040, 591283566, 39867156, 615443635, 631083806, 662360558, 129528838, 197351379, 574773396, 768515832, 527155540, 932226994, 959739853, 827113080, 412844341, 464861041, 109478108, 942542491, 774291627, 677522652, 813377756, 695835903, 1067339616, 1055785741, 154075176, 194970455, 758469677, 928296492, 818598211, 149886782, 363145334, 621611487, 575616997, 426322940, 361360670, 986968477, 907017471, 363357976, 1042758708, 834963995, 578677827, 988817177, 566987307, 206058641, 73673362, 532342503, 683399484, 256347573, 167282374, 986697191, 718589210, 693877158, 465244755, 311443515, 641106639, 808812827, 734165581, 506506213, 293215429, 236826653, 1041598107, 696558431, 590960931, 431881286, 1021823367, 372324096, 640463114, 1035588147, 361749150, 203232499, 483933806, 72921678, 826993444, 533626909, 393119091, 184281836, 459951870, 815300559, 201298006, 246926117, 937344717, 176308279, 264815515, 124026081, 424872070, 512668005, 244575505, 411656753, 570059857, 697503138, 44491580, 175356119, 1016211416, 445907108, 1065248598, 94272987, 252570074, 886451432, 1068228471, 220004751, 675133359, 782999205, 38618906, 12406196, 890695349, 683951677, 673155787, 834535720, 256785341, 204855198, 74159533, 223079395, 730570325, 960548265, 831939485, 970084872, 1026222635, 683108133, 90961280, 769339710, 28039315, 205032396, 885960478, 109847599, 490308150, 776730076, 337132633, 181649962, 975513171, 506724516, 242703741, 489463782, 219008181, 5434811, 1063309246, 889269126, 392816150, 91007716, 493322800, 702340257, 126779998, 650502402, 452914367, 294379445, 301316290, 549742649, 388231161, 152363799, 457996519, 170516831, 54504584, 555514425, 275716996, 278183568, 643603724, 408076622, 799253725, 332096558, 694698006, 79353923, 1070656535, 374287761, 511287578, 231202266, 668238642, 802012608, 611750251, 422390988, 143791283, 61371686, 629229183, 92212739, 772753201, 757847403, 774377217, 44189303, 683183093, 946944472, 750835557, 229967327, 95098207, 59742444, 168337123, 845363604, 790090378, 367622276, 240510763, 84334370, 927309375, 720724174, 921238910, 366734832, 53806804, 510564416, 17109057, 1005980623, 516716635, 808182855, 46097473, 454024345, 766343976, 785823398, 863186606, 19735019, 730179411, 367503583, 475024637, 445717397, 984553527, 294148587, 235414701, 742028374, 932064617, 941570375, 1027403801, 403801018, 26658531, 951151197, 617553299, 480452108, 676527241, 449545576, 726112771, 241480327, 977388755, 1044357846, 120044811, 512733746, 68055539, 245146536, 857116926, 303542936, 152154103, 483008546, 598088065, 493397522, 73377191, 49011809, 145041697, 579336418, 547158795, 945133605, 17779715, 174101845, 337363754, 482089717, 1033921847, 1038013829, 329662220, 355552163, 888728506, 333095944, 139283916, 370789711, 119790489, 61697170, 263718006, 498725444, 110350961, 279714658, 503210677, 810654836, 256826490, 1008795641, 451486012, 394824265, 478227072, 562393758, 640508087, 615057343, 185814271, 970131581, 226652003, 88356501, 477036869, 1009245394, 796219633, 274998533, 782618714, 318949378, 317385311, 817980635, 358311822, 717088605, 601601578, 334845695, 231337461, 431046545, 1006117237, 567716070, 71695121, 945195812, 577247191, 202713174, 930130586, 1060583688, 874132828, 606532902, 193808359, 910694684, 441877709, 226649016, 832436510, 725741717, 819310071, 917961445, 393282772, 111578731, 967045240, 689050446, 758413173, 1068151661, 494314997, 113605164, 1066809704, 621459199, 136895753, 906267100, 899839180, 435605599, 1014015110, 1030214086, 589736932, 852793021, 212713782, 360657892, 936877124, 859869200, 369190012, 397452249, 151662743, 696747900, 133049547, 967120385, 85249327, 980903478, 868201401, 338044783, 955180493, 541709429, 46049250, 1008803644, 992446205, 205586449, 797508031, 829795861, 223047830, 102052342, 376092080, 1033518826, 724990064, 310623202, 279566891, 209538746, 855770732, 315318405, 4217970, 205712943, 302005083, 780568511, 361631143, 679959317, 567915021, 631000907, 548153957, 760998956, 139286643, 616331118, 143366446, 80606860, 569892916, 475428096, 989983864, 877010548, 997810790, 85003936, 903169483, 822919463, 665644576, 801717826, 853826708, 315280048, 3977643, 806970371, 780886500, 659980038, 302460962, 10410023, 563031806, 743985029, 736799022, 1053148897, 92591848, 751050687, 295193126, 560454215, 159411581, 280132470, 1070623618, 522037736, 34089791, 804394049, 285588270, 824373157, 247457391, 857213103, 822320482, 309047004, 982872833, 845788927, 902876427, 745815657, 831215352, 725002143, 485790019, 417729982, 679286732, 525651047, 786549370, 357960877, 911375239, 874597064, 437935839, 276075254, 574624040, 1062365641, 866006251, 702434202, 968165806, 426357845, 258384471, 477632083, 30555161, 995891078, 37588438, 128232936, 508358357, 437684047, 713392164, 752387352, 717724641, 67984610, 500186922, 569117471, 498554684, 1052521387, 849032938, 959197026, 221293931, 1001232157, 239235783, 247778012, 843835118, 577181400, 556937483, 555876578, 566024036, 280570288, 495255892, 799318088, 187653400, 1061723441, 99293012, 756702390, 443746656, 472412224, 689916207, 758524510, 815785688, 409089086, 149314394, 288700430, 102426675, 398000283, 298590831, 203224257, 141751207, 611877973, 334896675, 87414595, 672996905, 770329472, 209674697, 44804024, 885808403, 3314307, 112656858, 156503877, 797286062, 91490308, 903067117, 308765750, 606326399, 770411998, 147649480, 387099244, 945764570, 21723349, 705232419, 391948361, 425757664, 797891477, 719140053, 373929933, 881947529, 289999174, 917596558, 705086983, 792391134, 261383881, 747606089, 366397852, 624762020, 324048434, 489661382, 211962429, 210952547, 692381452, 615267304, 534119968, 48436536, 923236647, 95697674, 46047912, 966243350, 928131876, 966906833, 348232905, 833323886, 68684025, 234348684, 447111552, 1045947777, 574343554, 605098383, 651552024, 346746859, 497334015, 310549093, 174962297, 548175202, 852127960, 755039218, 75303271, 789473885, 584929592, 460099634, 666879878, 654335939, 583788526, 241674598, 490075265, 347181481, 146226851, 330586898, 798979846, 524004434, 313712227, 389311042, 35314960, 901302625, 467102467, 1066030327, 866017334, 612513480, 80022832, 401622559, 779821962, 56055612, 862431254, 762743874, 933694134, 428841545, 201916625, 398088432, 793947313, 449888279, 594375378, 694337513, 214265321, 335840536, 703479368, 169587273, 343020653, 758557549, 44111270, 758083994, 609012445, 299249917, 506459316, 72563918, 130892928, 500014164, 915724563, 756465548, 6232091, 431036898, 468569107, 208512336, 266557692, 264192594, 738057056, 737949669, 890803440, 336043468, 451837374, 248384875, 599326874, 1021086402, 131447258, 335928683, 940597431, 992478710, 1042415213, 351799337, 584767122, 881322632, 436521292, 428578113, 280400486, 1061010119, 62985850, 898805900, 894302250, 273873389, 47260647, 575137183, 391811230, 48334945, 925336716, 896623045, 251779562, 105266635, 904905554, 782731209, 1052565587, 923160713, 665609963, 1002440998, 968250297, 678277679, 1059092169, 1052778923, 284136167, 27787584, 546706477, 32472895, 813337592, 131681996, 287519872, 589926897, 873277396, 1039527717, 983590196, 692206235, 942607736, 508533879, 961091845, 872213789, 1004911994, 499877805, 813391725, 410117947, 926386967, 393716637, 839028021, 1073295166, 169193386, 11869657, 30262027, 854025732, 992734327, 1053607671, 78958790, 364555191, 282392913, 142646076, 618001658, 449294956, 156978104, 696657289, 1031497366, 487024762, 999496982, 430273341, 398645847, 518312827, 482809058, 518220118, 760570806, 117534753, 690503310, 27743253, 890284752, 628848924, 2535436, 71178040, 79751843, 625630931, 790290688, 808742525, 531107974, 603183583, 663089869, 565712695, 918673566, 671128787, 350364693, 950662186, 736374958, 273824262, 913342263, 286365669, 4233573, 367680685, 424440383, 766973414, 608669491, 78152379, 131622215, 258090397, 254901537, 248913650, 722494757, 1056617748, 531005051, 604586456, 949818536, 816032445, 992676502, 514297579, 54208098, 922703953, 509060232, 1053545085, 1023791159, 271795472, 500534035, 940071887, 71615594, 314769865, 316674699, 1071404452, 837185817, 262145927, 477380455, 425984595, 742500228, 1018085351, 91068178, 252601926, 641584477, 763515738, 67422185, 323633246, 453365909, 244721101, 586619198, 359445345, 135042730, 33605766, 862191242, 122576899, 431517178, 148977293, 951657588, 783723648, 320985501, 484784081, 576848932, 1028946836, 648683579, 800607731, 828027797, 547343257, 334817528, 529335918, 997840478, 14060003, 858522183, 215643034, 647329991, 916299024, 677327547, 356471289, 652907230, 267561025, 300155267, 762661879, 336705816, 142110987, 215492571, 441484313, 4854595, 16336990, 818634184, 777744385, 511051220, 323384063, 65918983, 845586397, 922810355, 601278737, 775175124, 419179761, 25119347, 29823470, 956245903, 244241886, 609810321, 19853429, 925876244, 299726656, 535518990, 226967578, 849608207, 13167565, 544099046, 955427085, 776709073, 700179921, 998061381, 448768535, 621328186, 197705012, 202585862, 4990304, 423680798, 857379714, 624049417, 955211701, 547020095, 1018250719, 56572151, 414629342, 46756576, 740226524, 734779086, 178887385, 27888351, 33786485, 536961362, 352228637, 608064342, 537500376, 347867829, 962200785, 625311400, 852081454, 372658198, 194048061, 369071318, 176703664, 1028068771, 966921297, 929273489, 276391541, 115812005, 906674577, 884967777, 763619497, 188221606, 681799561, 631435672, 608167166, 327924860, 10602912, 759684869, 12238173, 830401083, 315775314, 998469962, 889079092, 301840668, 900283840, 745678398, 981861269, 112207362, 1010454116, 610094647, 934990582, 950651942, 934702990, 673354954, 1071261933, 166566445, 659964848, 726900096, 488408857, 583163965, 862229127, 244194445, 384237507, 612023029, 350412732, 633015615, 516372159, 277534248, 359868265, 538833893, 851111999, 992650115, 275145022, 464136990, 449775374, 389312967, 286268360, 827845110, 854176524, 77513665, 954800925, 60983286, 362811701, 111450985, 481323736, 392058110, 668821369, 666896167, 865438327, 627123502, 370287281, 504915836, 215786134, 608232535, 1014481967, 674675044, 284923190, 291927711, 430781729, 243504987, 749340462, 268538712, 420806351, 847976396, 62389737, 13672985, 601001723, 88060977, 734996415, 347306916, 118904696, 790094754, 431513257, 218456743, 522540165, 370646839, 852338092, 601777523, 718282997, 258891978, 960456767, 41205091, 355330645, 240558598, 433043513, 729060906, 349618514, 126036246, 785509471, 1025011097, 748573052, 650022285, 345236089, 968792650, 759481355, 508505603, 226452155, 526491507, 833879555, 304533188, 622423988, 418535825, 175617842, 375888807, 644051583, 843239424, 911131311, 870294533, 629674845, 801621676, 353028384, 677446846, 926420811, 177038709, 220823041, 592726146, 15102578, 878003365, 377297089, 819545788, 738220843, 349100008, 474032099, 749485897, 131335290, 171411195, 710981021, 1038897535, 274703157, 483362895, 207674414, 958381258, 959386229, 949925795, 308594406, 493213952, 348157448, 443346226, 283119694, 276701908, 794615810, 632188228, 945901591, 859138872, 841491373, 489585363, 44744830, 1027007767, 356950515, 354302680, 368071478, 236342535, 527367180, 433657257, 788266869, 31646170, 35798052, 738561870, 332403388, 390671701, 178511965, 803417546, 395679032, 864821284, 932181714, 499844728, 190167668, 527483637, 471777618, 168309379, 341410029, 783561653, 326317072, 285254229, 800165507, 736031876, 432063744, 206202008, 636601261, 554109335, 534200200, 656500650, 566088491, 237410450, 71239155, 825748742, 41950916, 10932673, 100615179, 752925156, 895905741, 856875794, 435722231, 456448260, 478822063, 1061139812, 903046859, 812573982, 22566577, 56082642, 1061222442, 795002278, 379815768, 409772137, 974245707, 312074919, 51505319, 797957363, 788931933, 544528607, 855182704, 844212806, 933225734, 357104007, 431715102, 295562835, 156390921, 937095741, 927937937, 867031889, 937934788, 78005958, 956237398, 645179707, 534873719, 731214940, 276910428, 870754012, 867784339, 112192441, 964647771, 487088157, 295850241, 710050625, 557604099, 2283248, 307824122, 1000820821, 727657863, 949667778, 286740764, 997029156, 566389728, 844915096, 456468272, 295745050, 220781195, 113353058, 691933275, 1073337387, 374751134, 575632741, 591238911, 1072527449, 609131779, 751139426, 162487682, 41847860, 280244781, 1025340559, 972301018, 254867834, 1042600692, 565745328, 1007734452, 984582492, 1056317801, 907854101, 2195741, 678372710, 1069239642, 86025580, 430659171, 89902732, 699972958, 334890810, 975202856, 490116181, 288169089, 730431549, 272850674, 532663538, 986487713, 76386501, 354479009, 935112583, 466744496, 860485597, 740541149, 133714252, 67465038, 79909224, 57405252, 489145454, 739507216, 161168709, 306276954, 500539805, 502782909, 752855960, 88306607, 692393977, 270689955, 785434351, 44481633, 617240164, 37321892, 892073760, 622308824, 391524836, 388973353, 402531867, 790611991, 740435319, 949866135, 1017361596, 480402896, 537149622, 706139014, 223018522, 392256794, 1059494109, 160224118, 1015408364, 172724716, 993933545, 875156825, 907172868, 292613888, 30373482, 768926245, 702131519, 899765875, 478607116, 891104597, 961870440, 440945032, 119998350, 563040986, 184031651, 692055955, 867299198, 505939840, 306223134, 857206613, 589712653, 191091618, 793554677, 367859831, 991509756, 869314327, 158024632, 142346746, 346025808, 247665146, 736254109, 816577407, 750564437, 383957813, 201215852, 702279556, 412137483, 227598923, 989753285, 176957049, 299859493, 8442546, 119846542, 158437161, 410916979, 142615990, 632029986, 335153799, 886656424, 615060377, 300411515, 797431814, 875146738, 53920544, 497058600, 605074456, 1027955327, 367971190, 526958589, 406997106, 53250202, 186299494, 79563036, 666866979, 1038908051, 752950681, 898483953, 604489886, 577005149, 749433996, 538515063, 714937741, 314654858, 1030298659, 835785260, 102833343, 799301015, 227160094, 886918259, 433752828, 534627119, 516155986, 467886230, 572201073, 967499356, 714920706, 926977211, 427454195, 229962734, 947699055, 43514649, 989899583, 1063910101, 261333780, 135001920, 669793138, 55351446, 953202316, 795469361, 41981494, 114781492, 584576155, 44899214, 891371971, 419948472, 973804364, 372726753, 904464252, 634953245, 750838344, 174482832, 619969704, 17018478, 15524916, 344357975, 657311995, 836332231, 441847530, 204233282, 365131920, 696967321, 321882515, 410826276, 370906329, 634112734, 430284598, 759441499, 1002894743, 921474550, 932390401, 628137105, 488286528, 57295006, 883081960, 850017453, 453203214, 700276996, 344553314, 1014780384, 48123956, 919851230, 559795076, 114823779, 107826110, 956524094, 879346630, 560051118, 376143214, 180185022, 75886860, 998463391, 382962030, 607772565, 431479179, 67906114, 899350895, 938443209, 383327665, 943971076, 160923703, 620563083, 159667593, 665262234, 334206435, 871870118, 530789093, 684971113, 1021664370, 4187370, 662442357, 251018335, 537290704, 1055740867, 479029329, 497152105, 638705198, 218578509, 358441603, 696112362, 552864140, 514036732, 190345720, 183389840, 332012626, 869279528, 229819782, 305448870, 407641084, 886746580, 41461241, 648484046, 806520278, 618655437, 1043148339, 475135530, 72758467, 815461865, 364652469, 585496334, 316394773, 679101805, 606039541, 970746135, 972726799, 917873898, 736023442, 95267090, 899732440, 457766966, 352575001, 830150035, 952818220, 259727116, 328512951, 770396719, 351191483, 1010011394, 832358283, 322993618, 736246092, 370663400, 467594328, 599400902, 131157347, 569020519, 1011365427, 735480889, 909472878, 852649598, 654085216, 137927147, 512221653, 226556851, 878511181, 707412495, 643327556, 916375455, 741533991, 316011257, 473200718, 60346971, 373172053, 296456897, 628656381, 652050883, 122374417, 285790114, 769678093, 1007546131, 265377860, 515538746, 374240625, 61700079, 347377308, 136777073, 27377574, 367622074, 546437650, 728681493, 133888973, 879589253, 2344718, 1071894991, 353464834, 586423483, 863181431, 900105698, 339951851, 731048711, 121566867, 824976899, 480571433, 968980459, 5907202, 67912715, 714585018, 985182015, 492737562, 434167294, 1009119969, 442346873, 912819062, 5092056, 633535932, 498556337, 714914510, 323536630, 222580161, 891279017, 294189531, 397498113, 791090261, 330760470, 332310883, 696618023, 325900669, 592913694, 798435515, 118319454, 5069145, 976863833, 675244866, 280612430, 381376847, 995467178, 979731589, 567121102, 720448586, 159389409, 684325818, 549831925, 540421126, 574748343, 183264757, 571470133, 312834932, 610808823, 1010503112, 532313984, 592246041, 966826903, 512191835, 492425903, 206230501, 902921820, 144996238, 105403356, 330675061, 1038701484, 219460883, 1069501701, 159198410, 220964277, 532522723, 340105441, 628819169, 738607217, 220383391, 672710330, 386965980, 593660980, 245230782, 872509524, 1025630437, 212702647, 1063979163, 689480823, 1002590481, 144073899, 930532146, 647797773, 613467572, 180868478, 387162921, 150330672, 72809606, 195273754, 852253622, 578442865, 351253723, 76670588, 477755926, 863043878, 639820247, 212677862, 283518183, 430149894, 123076303, 646417956, 1034392503, 161165719, 769298919, 471043471, 1045700468, 154597882, 52216889, 688153738, 647414516, 2658154, 975747630, 533034943, 634053833, 1032818313, 138232468, 518622938, 43839303, 268391248, 61060558, 49148652, 678771355, 134854772, 959428907, 338180455, 589163623, 1029032587, 914613711, 475231389, 361304020, 358593688, 260039219, 694856869, 104751315, 812719822, 421278710, 710750745, 304386930, 1015440317, 182056274, 140490806, 675003018, 129476584, 881330825, 1039456206, 307772684, 463451317, 49104851, 168436968, 2974009, 289633921, 246387702, 590507875, 592385949, 204921422, 689668497, 258796503, 363489605, 315725854, 985543223, 977324545, 692065319, 923295791, 1007517602, 843133720, 324102189, 682470830, 710007109, 1068783332, 580373256, 216945111, 592265374, 1039063878, 425766733, 745260012, 773052178, 979455288, 746399023, 70176585, 586130545, 679630359, 1051693151, 632144694, 212417316, 849014267, 882817659, 237855019, 241895693, 891795782, 426607933, 674112091, 450485202, 699378333, 193968378, 953064977, 323320774, 384333596, 645647090, 606811113, 1022254654, 855787885, 767567785, 601531266, 404545184, 582465650, 664952745, 472647015, 972716107, 395019452, 859480897, 673654481, 770054605, 413560497, 1056797463, 458115376, 388240613, 766666853, 1062580100, 776097133, 939195596, 265236855, 718370867, 256164110, 694268247, 23774760, 246810056, 270782803, 328439721, 206026654, 342372152, 817343726, 258092531, 674138793, 799870997, 717679990, 727196506, 531089714, 637255698, 131308806, 1053520712, 882648797, 604985847, 196678740, 726828337, 891467399, 882687761, 612227336, 818189633, 466062321, 431950119, 451260634, 803644333, 137768720, 473897886, 1063551726, 50369973, 413197116, 933027264, 447912274, 609386627, 498366911, 897460499, 987231907, 447336617, 952416439, 752007661, 1058072005, 359010864, 519868215, 991146293, 141511583, 92191387, 37446208, 164892088, 975538754, 824957593, 969939904, 709150850, 685746734, 277944643, 935626805, 740311321, 767429165, 671665850, 824290928, 314898204, 90346338, 293480531, 767472570, 739146030, 891502193, 896129054, 363948634, 707895885, 572582459, 786893296, 744352452, 403742305, 328093909, 1071703801, 589112860, 163105791, 847241881, 929503606, 431400000, 254013897, 222163212, 1036242389, 545597996, 1071132249, 26500339, 885908943, 295661934, 921008943, 202917627, 636224187, 673398930, 705248889, 527001786, 349098587, 1036647624, 745565834, 945357473, 257436468, 847629447, 595137846, 504850338, 1043830578, 396394474, 311963351, 340102326, 434042687, 454328838, 358813413, 390096008, 1037241950, 714673274, 1027418391, 374473934, 351261364, 344319172, 619406455, 1071746902, 531937369, 646123435, 234261300, 466998053, 840508807, 587114745, 236423036, 500253615, 680640513, 1060317095, 553347312, 152058679, 227141608, 877196928, 83747031, 739193343, 101677547, 927423741, 654330310, 846905509, 677163721, 303397197, 418014618, 713192139, 212613921, 688756985, 352952017, 519898907, 473437279, 234875214, 970296560, 455721591, 171831320, 613048878, 1028861022, 646589635, 263058648, 345940927, 218886729, 9840619, 803814276, 217924042, 626053357, 14025579, 121217207, 439392692, 667629540, 296180276, 328485642, 579524820, 127207198, 951342461, 400846985, 251600065, 729668478, 535840394, 913418479, 980655289, 520525302, 718260965, 502196888, 871316460, 614499837, 744467580, 915269771, 367146384, 189074673, 290405305, 854318348, 502990348, 622911465, 24465356, 397961080, 417499149, 200647268, 835944307, 326971488, 666847424, 480847101, 506038118, 561258340, 412881495, 1030376785, 991899142, 559036226, 82858497, 361534861, 120224610, 268691168, 786343545, 880340755, 1038871559, 231119074, 225210397, 1054476979, 224926565, 384157319, 801667645, 16753251, 183108031, 656539396, 665071511, 936576208, 781712886, 690374996, 277218581, 289049138, 470509934, 260948731, 429540077, 149299047, 1000472677, 232504766, 728282596, 314703814, 280006965, 504409681, 51216840, 636060834, 894980898, 127537045, 231971925, 339726863, 999803879, 846408519, 683105764, 1048814224, 27272329, 223089294, 486039128, 589377507, 225595945, 840206922, 906433117, 221311563, 320106248, 1055657702, 650919682, 716918437, 542155942, 408991381, 984991495, 120068065, 796490673, 298981419, 528167982, 116601419, 194956048, 511934017, 141827625, 246686899, 25430644, 247819634, 124599387, 130368842, 625083354, 965317546, 408405365, 673962585, 433391439, 911907513, 558588139, 1017639914, 67171732, 214597509, 588417318, 794662171, 127634498, 297636125, 165405924, 301671245, 774152368, 1040593072, 673725983, 993467663, 33709637, 459024715, 907728640, 30121449, 1027249794, 233338262, 916844336, 233812929, 862675389, 30473149, 262459671, 332610903, 477784989, 1056424515, 450906012, 865395928, 813687676, 43053325, 432958209, 207017165, 667516110, 517108605, 468445374, 1024512250, 809681684, 875619385, 12097133, 427908873, 930887696, 993881273, 26451767, 91575071, 832144214, 123720956, 147136622, 619123427, 994352199, 409649008, 970014971, 305749477, 288209526, 256958474, 981507624, 893255045, 335147079, 741914209, 160445105, 560025858, 991877291, 418679648, 401487345, 558239646, 498775269, 59499513, 997400645, 608314842, 705004605, 688372134, 566418929, 994435900, 535564198, 868676346, 568978578, 407779562, 642334436, 53354102, 1065326468, 1012186370, 416542512, 420211926, 1017679397, 783928618, 93237090, 506295282, 524464756, 533107675, 1009747216, 423387638, 856101861, 254013355, 511968589, 279142651, 185197138, 719104331, 810893519, 779235293, 331582727, 1065015861, 94895156, 1073273812, 1005947848, 909012275, 493333685, 377877271, 37774641, 342944380, 944884159, 317944266, 800706853, 530010838, 300078853, 754859999, 557713644, 697984787, 976740341, 282935629, 956263452, 1060636964, 502923517, 26968290, 818992313, 148854638, 682820970, 663819143, 944402030, 125252770, 929679639, 987661972, 70569543, 690129331, 1048051806, 643181196, 319603802, 217887148, 415251950, 482472544, 360546077, 247172889, 172832964, 823442439, 476132124, 167947984, 877338193, 599962173, 307813319, 164445737, 169314799, 464392185, 1058214863, 195681202, 233723892, 277436205, 90560856, 678727696, 659694439, 311386891, 376648952, 635992695, 352032884, 685210447, 349026851, 1068856492, 825164472, 1020929541, 872779043, 844530392, 574327752, 49108097, 124890858, 446176400, 778301104, 113748895, 346366209, 373887230, 913145033, 416605743, 969648741, 615822401, 1028422377, 590043117, 846934586, 118389442, 327928549, 622048628, 1004258728, 2175517, 525792302, 993788020, 198658310, 839106630, 1036132799, 894762531, 29152587, 1024981336, 808212189, 552497499, 632516766, 562196334, 1050798737, 1037829955, 892674497, 337378669, 757048394, 698722932, 412694574, 573962862, 22825404, 109726042, 866643700, 176898512, 966054694, 925540245, 950345839, 476579599, 763412853, 523265018, 383106125, 373675999, 1061127946, 1028725750, 1063400042, 1055627053, 298732229, 409130196, 201891948, 623373377, 1044849254, 615870904, 1036053219, 1016128802, 650163958, 176335337, 821228601, 121448405, 102191350, 495703755, 803934691, 833361617, 724028497, 200615662, 304575543, 666111753, 282172162, 279145396, 924269293, 928741330, 282472918, 1067401100, 90673277, 525390756, 409659111, 834893116, 700929853, 1054575145, 43235379, 664968277, 846476969, 1030001670, 306483085, 1069841702, 308749411, 197317662, 398113130, 560954421, 338284066, 370782213, 1064730517, 485346084, 588723972, 189787923, 11394084, 869794951, 1047681818, 1023952181, 673910715, 676368347, 893781391, 9337062, 724997575, 264966626, 361470391, 546999020, 791149795, 451590612, 1009152041, 712046982, 537273957, 486654163, 989747983, 106111944, 15383699, 815789375, 862195849, 357438355, 519684852, 571417833, 310248655, 91909191, 658832809, 74321312, 941105730, 233001514, 459608206, 250598267, 993948660, 403595089, 622893687, 1210338, 848756253, 795056735, 450465537, 231874933, 1072333235, 25594820, 33994998, 489997295, 16926327, 867153319, 225916206, 531398632, 92272250, 501626906, 580273595, 857106713, 774267112, 917260020, 814742555, 463577836, 858702411, 8198816, 1021072307, 695387083, 619766797, 871366214, 692994554, 1004029975, 77959578, 11739382, 591503235, 132918512, 1069816403, 1071923585, 318078310, 961507795, 296779975, 141855206, 271574699, 601732248, 124848711, 139466750, 844254243, 435225426, 820656060, 372448869, 246741474, 154885265, 100036522, 324899071, 15028711, 519579387, 4563765, 560807098, 208592159, 530472836, 711339703, 748713265, 937220099, 879612636, 1020689904, 572184405, 278066181, 979818561, 704061857, 445188089, 180906529, 686991282, 411605447, 731616505, 141308035, 991315730, 844695329, 165789459, 129376628, 959461457, 299189921, 244164983, 652422000, 130778353, 474010971, 948959287, 808751342, 544411009, 361860560, 827207496, 232351927, 450934823, 420387362, 672288384, 292504340, 971904332, 108525968, 922891339, 999455117, 766432737, 193915155, 920929432, 617524354, 144712339, 621370557, 724451190, 466852886, 86483277, 287664855, 618825303, 196153152, 340660341, 764798760, 471027097, 36297266, 653026893, 237641431, 748801316, 161839970, 512412457, 699103972, 931592861, 32381296, 1004858595, 1021496472, 595009552, 952534761, 1029777875, 371477712, 876417104, 861211924, 898886039, 900936543, 259390252, 727923459, 128148250, 270128012, 8983518, 638337852, 496601472, 640353010, 1023878403, 752118011, 411130904, 884199563, 270818950, 1039649060, 563400028, 521288136, 159731531, 190175621, 795104434, 814337044, 1015713377, 294684472, 175115926, 884063907, 160477250, 18243266, 197923471, 183208912, 378837, 628180332, 769969723, 1020255247, 364507624, 1006539935, 711275820, 962561298, 119705402, 435852499, 208212526, 108648990, 130650556, 214844727, 106665934, 510285349, 1041439510, 368957661, 263279035, 1002809833, 787896910, 724427075, 815265653, 57389972, 508902935, 660460309, 787684841, 500730355, 216713395, 1002111468, 599085340, 1066290267, 958453783, 201826936, 141240464, 950371827, 302608173, 186446653, 701835558, 491668066, 201698355, 775105752, 451988635, 336441692, 657266848, 1023930980, 316678361, 200641525, 123143501, 6894724, 725224519, 509997091, 45293265, 763639668, 227868812, 868797135, 468334375, 8387209, 645552396, 278561174, 293650534, 989709385, 837422820, 557867424, 791063117, 1038412350, 900746233, 836134408, 567701760, 290753967, 873208620, 912405141, 920785236, 821496617, 380165368, 45636512, 417484822, 1007266952, 277845694, 268131303, 988236030, 864989349, 335958383, 141874690, 992812530, 665090532, 307202542, 425648464, 298015388, 137127512, 194249382, 527078941, 687664636, 692924070, 894452784, 159655607, 795360195, 223580131, 632473519, 267169708, 798346217, 1039778858, 74495627, 951987014, 125951942, 23258632, 870039797, 543553821, 370689737, 421562819, 57337946, 73946301, 709576132, 1067910039, 639131306, 874294370, 122372200, 661990038, 365802418, 10197249, 1067938920, 1000725261, 382625339, 1024493827, 698410012, 260007618, 187553894, 271095471, 837530, 191197547, 508883230, 298050704, 715221794, 208570237, 1034899935, 338893871, 933843870, 459582747, 662721091, 691897696, 1027202666, 547507039, 559422397, 960069523, 723229069, 297448254, 502848506, 229953837, 611107197, 56973964, 796369544, 401912308, 137843911, 124364566, 670371642, 316981724, 53882936, 583384593, 383916320, 871584448, 729207880, 294021219, 883030991, 114352843, 348740739, 586293257, 416884451, 517055920, 731847214, 86738138, 675104098, 617958125, 747859690, 826700424, 204655962, 84786598, 796760741, 1031061160, 892265497, 1070727051, 125771909, 442762179, 836321232, 77632695, 906763831, 463828798, 583589131, 833949461, 370392010, 313832152, 665891908, 446851888, 789767957, 189797141, 465340305, 417109324, 109216273, 693206185, 200364100, 845759314, 738733240, 241784746, 807056847, 997246375, 964266213, 377956450, 400618184, 451699749, 348376987, 250593702, 943439858, 19764060, 279086205, 1030460030, 916619172, 750473081, 686309954, 555963479, 28619880, 389196634, 141952116, 777769040, 298909187, 305577560, 830016085, 168352627, 695295706, 503771836, 178767080, 82159924, 261481979, 1060241351, 768793452, 942912241, 677771482, 205593266, 674457068, 769721877, 289684712, 422818032, 693535578, 712184279, 191965758, 527198280, 68118675, 605456181, 732097714, 956598998, 529170201, 482158305, 281282326, 447334857, 643335476, 150509676, 649236062, 865654171, 1040195651, 153122284, 206037924, 542505670, 361247259, 254123631, 35879628, 159928032, 318990370, 236138296, 142077897, 400802056, 939639358, 756971028, 590579992, 95995671, 873033807, 207138886, 670665299, 501680401, 398114164, 984494527, 453798067, 750659284, 329886556, 478830671, 334307140, 693107431, 758503442, 435460098, 689056030, 57600561, 249663713, 896158146, 337063784, 937821591, 404860589, 795507039, 175158921, 251096151, 199596822, 190645756, 103425491, 731259316, 86989809, 1017971683, 394554425, 338752142, 551580606, 49455672, 943024541, 125308089, 776929559, 951507471, 200685455, 38080120, 60415072, 969730492, 681972893, 676609751, 777359332, 963088623, 820910392, 172255208, 199941560, 1032507813, 900438371, 132671744, 408608242, 201198706, 730433071, 68283956, 424468555, 82093785, 952554723, 15088314, 537536703, 669320969, 222150318, 738443942, 858969864, 405942956, 713924363, 882193497, 464077216, 315616899, 714774839, 658165132, 480387224, 298546064, 1038008346, 443924377, 605008040, 765679404, 387991593, 189448359, 67446346, 876269653, 660593378, 865434156, 886406578, 647982212, 739602865, 838311804, 466878438, 502970369, 991741182, 580553906, 982843998, 723267015, 1062414014, 340179739, 882714457, 287070234, 739207522, 388070136, 679539646, 616896158, 577313405, 1014238330, 905161133, 253804020, 421779904, 424901888, 669673966, 158156502, 725529304, 857587671, 44895507, 198787323, 480328696, 845908623, 795792853, 869654661, 263411218, 226100210, 367975041, 951972730, 173399619, 674558030, 541791223, 766820576, 85846273, 416102079, 413851224, 703672409, 419368653, 9874111, 783147950, 295918528, 957651443, 25992237, 384062796, 549116556, 161683902, 929560221, 872695144, 150777059, 228335470, 381113057, 610611310, 341951289, 777415614, 28703710, 871058396, 118423772, 418202584, 335908062, 786493356, 75224559, 714228952, 386883201, 60348771, 442596480, 482105206, 17456988, 927889342, 906864183, 351210748, 961374244, 25113227, 93235033, 719034732, 202682033, 2079415, 110635376, 48714307, 694383462, 37092168, 409763726, 48455918, 713919217, 181887580, 1056945890, 9333364, 114242150, 630781107, 182290107, 135237168, 111910078, 550861845, 42259105, 52924936, 65070566, 291350609, 128814867, 603376130, 500515234, 22042259, 742854105, 1045167903, 1014215805, 487343594, 501588312, 116819339, 890329312, 864678315, 83627600, 582660073, 585922484, 1017549131, 803587085, 118885079, 677862214, 748376020, 976051351, 304213673, 305068974, 656121843, 659506177, 484530754, 580463304, 4637677, 410602547, 462940456, 101955722, 690989557, 144130392, 850228911, 279239396, 937317106, 844358036, 783772354, 511904042, 977476433, 378779347, 42043575, 1008358527, 752892991, 351038673, 947277524, 352243455, 693254132, 83320590, 727419146, 168872340, 637809077, 307506728, 381469580, 964002451, 93160712, 426543965, 851293867, 76659083, 996565317, 277692920, 235966817, 542108064, 331243079, 508319608, 189960900, 947586888, 402712052, 335886348, 103418930, 806809092, 817034897, 911943778, 631717091, 546176356, 1021194211, 1038962577, 363571856, 800851762, 99476261, 274698083, 520264247, 261964450, 846973715, 650929118, 157001390, 807854771, 434799193, 675586691, 380791790, 902876803, 844190287, 14715410, 156297870, 281133427, 528188137, 1034682717, 784546098, 469021833, 465720868, 568580795, 646302442, 997876019, 540169460, 352823633, 554867179, 1033783862, 802299631, 939612786, 381031228, 411425312, 283535795, 797870666, 952473733, 206292971, 620105173, 665322413, 23636195, 150907532, 549087961, 574648632, 288530434, 502735942, 60566053, 897958930, 241325859, 364244099, 753091438, 959645901, 463913891, 61503774, 95332213, 14138132, 117633757, 835233545, 719332118, 875839788, 385015935, 195549091, 12082574, 707653531, 169383133, 1045288412, 397515019, 807209031, 890917069, 338642128, 215021835, 74467000, 209020371, 984338169, 750418073, 346949434, 675856403, 64350046, 806121672, 376501586, 283271658, 819097752, 216030414, 292901184, 595683988, 277920628, 388786927, 215912064, 37442490, 577953543, 213300206, 341181277, 124066275, 1031188279, 794933386, 941744506, 389515826, 594829235, 711661800, 671898765, 685792775, 341648697, 97263008, 103794520, 306769809, 981226440, 165478189, 714648064, 2162806, 827674328, 829461623, 782418161, 400925829, 780694942, 79212323, 58163481, 260400625, 327776247, 972718032, 202622675, 719511580, 108144727, 486222270, 272629577, 580975358, 889955144, 78207305, 931057012, 700889440, 586238119, 619177733, 366404810, 480322194, 39392960, 1011951158, 83677373, 120654354, 933979303, 278245558, 173757930, 492750982, 392419366, 530333377, 119103912, 288498921, 342299367, 749301373, 54114195, 159204906, 103591793, 397214712, 340243974, 358406247, 552624409, 111086134, 974055978, 577082885, 222720926, 739841668, 573014772, 11740928, 777330692, 436050111, 1050933537, 665192854, 744763937, 362444860, 930770058, 95726927, 992810990, 376304526, 289528394, 68607899, 30231807, 756020506, 302048205, 737014473, 122270564, 30102316, 524625324, 877485209, 1012534379, 753580332, 484305101, 196426265, 836300063, 694525763, 562149937, 313209398, 54092581, 406364040, 948352498, 577926244, 155097799, 415364442, 157676244, 979766511, 106081462, 658800885, 976153273, 859125206, 939865820, 764805754, 559711381, 310935210, 801441704, 917866780, 659585409, 1007433466, 52112600, 102641292, 123217163, 971828217, 166640187, 594990794, 489369199, 1038891248, 927729711, 694733613, 414409078, 931315150, 107179076, 368569407, 242488138, 140171788, 960869073, 925137297, 440946238, 344593813, 1059358301, 671870015, 590333588, 726973806, 166860098, 528423322, 160044477, 862778195, 513988156, 383803325, 861802978, 14759999, 124729503, 685581742, 470774242, 30113213, 374815740, 440487327, 878802069, 738299329, 432276649, 65420915, 307593734, 482856636, 783330054, 320763046, 758021486, 736417900, 173290548, 967037418, 301518888, 653546724, 334066937, 80510675, 618554589, 1020568493, 504518867, 697497176, 377817536, 340302845, 74376198, 477197810, 578643060, 542462023, 976686893, 953920787, 308656046, 939381655, 47585018, 286578603, 738726648, 1065607914, 1027290911, 569660513, 498328703, 1064091263, 173768407, 1023233602, 567207087, 160405425, 287937652, 850525571, 620264660, 566668201, 172920159, 847002369, 52620739, 163573596, 984519237, 1064756681, 320128313, 1068498736, 225796545, 631087115, 990597983, 1028438596, 600346286, 86432257, 859132863, 950727950, 259141596, 54631935, 455349562, 104625102, 245766669, 115333108, 213921035, 156806110, 213962179, 222879172, 991171908, 431026759, 326598288, 459379003, 271634526, 341407958, 439275799, 295627830, 914753263, 31938427, 189319006, 989688606, 163328652, 564798011, 839197815, 317281928, 448942000, 951917477, 265910793, 87361454, 180615764, 171552753, 295687800, 972256200, 942245640, 360375412, 192016307, 107102626, 548894908, 814967032, 730149463, 518251774, 43305249, 131784734, 654344480, 671355609, 798222294, 556992490, 170023004, 665692702, 920743914, 791629084, 1068714273, 183073182, 207645247, 425818711, 589753150, 1055518924, 684600197, 884533690, 99305472, 458488170, 354577137, 464321419, 123211656, 124981308, 774750775, 335319046, 100486822, 825098197, 925761575, 638597608, 204588749, 432947016, 667570499, 290235184, 159389852, 1050786400, 8984935, 25633985, 222302369, 521634039, 273377397, 958337109, 734662589, 540918630, 1069075657, 875004944, 75746359, 840529474, 96925421, 945103578, 1033623734, 247805160, 582902933, 59277185, 353073883, 203416859, 398036257, 1050891974, 898530028, 514801411, 873293389, 782898418, 262855876, 196200124, 900930847, 1014864774, 1008843834, 862699856, 560476514, 130349019, 139691309, 186140794, 501791727, 213799544, 627455884, 794509563, 559080890, 890926726, 105592796, 799143511, 773667988, 805778346, 481583621, 42642512, 908559473, 268566696, 141741211, 766330026, 452248899, 149285935, 800687247, 872837962, 1064312391, 57793868, 736788110, 149172324, 934566223, 373061326, 121366415, 809557455, 36613658, 416353462, 300786892, 840352899, 897536316, 574148058, 931203470, 113144100, 559284144, 682887430, 683751355, 326108277, 313571230, 575725004, 578211721, 788036584, 831443890, 791535299, 986859726, 415991960, 395754045, 196649279, 303321504, 258895696, 159000145, 176114382, 11863959, 588054807, 232160949, 823049728, 86281500, 1004805943, 578830434, 690537865, 131698680, 958780256, 788698124, 322511540, 978957439, 924472764, 725344475, 342184920, 125035724, 477335868, 261309625, 27142071, 465789378, 308809207, 374621289, 987480295, 721415100, 509289114, 773255100, 65175762, 867077294, 329482075, 213404703, 454269093, 760177693, 38532313, 838712781, 617741524, 603733532, 654512048, 443489247, 339181603, 896310434, 555651207, 235898138, 63837710, 835894833, 558741488, 678630071, 89162775, 144711666, 447452473, 131561542, 653854324, 164224967, 167416370, 495776638, 898475939, 990871128, 998782663, 789996674, 645346193, 298491115, 291576161, 576522355, 299423249, 740541310, 673341447, 956107223, 937419274, 173099605, 122634314, 1067655301, 586243108, 944904970, 859586012, 729787103, 99607753, 261098190, 949203479, 40720043, 951737408, 1013669930, 34271253, 19729509, 483344707, 673946149, 31704938, 1066058578, 35831895, 899466573, 977270998, 416389159, 962424859, 951009118, 475705437, 952740767, 679374684, 249515953, 155135319, 811627315, 594923942, 497753441, 1035744721, 618161493, 673850522, 359161710, 233985708, 862186486, 496349006, 1013062654, 672299871, 1008466427, 880115190, 635061464, 854969239, 182497462, 166614391, 400815845, 826344872, 166190524, 445329358, 562066928, 1020510078, 314031361, 823086387, 32794632, 369455200, 360236747, 244550625, 554671219, 476985023, 170347048, 1029459896, 1070569526, 299049349, 478416565, 994293413, 281835420, 859560136, 464225914, 568048233, 987124255, 164292473, 633127126, 1053392674, 629887651, 31833283, 289905744, 370048272, 604844362, 135273421, 476470309, 516337415, 156083527, 856832624, 299147155, 1052896560, 866761998, 485500408, 794487459, 976302001, 491517052, 266031221, 33969154, 831632105, 45199622, 820677804, 439532890, 240544338, 732425610, 604310168, 634783210, 656974058, 241349260, 819533331, 7714492, 938189240, 696159307, 902162983, 938573790, 944649589, 626923293, 976473129, 562909539, 968194085, 9411692, 937591660, 349144367, 598631442, 957381364, 1022014308, 150120753, 97457398, 835394416, 429950812, 483950341, 1036802710, 483238227, 739565262, 262310303, 368066643, 349373105, 266341227, 205632566, 583604917, 782835405, 457729198, 64794767, 737007930, 577972872, 1049487884, 198947325, 131527078, 892882865, 690904716, 842685214, 889293484, 510547720, 976343106, 556358756, 780250624, 968518379, 1011022886, 387692510, 108465457, 608363077, 858170734, 234872087, 553541657, 675998316, 607518465, 706031528, 690337000, 166100442, 77492768, 950434672, 858363674, 814214796, 147458019, 208969693, 872023109, 487885406, 899996557, 1031769811, 867555677, 342837316, 742838163, 640115043, 407708941, 115790453, 854223179, 748670249, 694451136, 911286840, 449176998, 393174545, 865001067, 228006031, 288636504, 191506450, 256908449, 926480141, 111963228, 878537599, 341106782, 278209995, 172030436, 46208904, 397664096, 641024625, 459845406, 906859582, 645625575, 399660993, 957582803, 364143899, 180258652, 364143601, 922111734, 784180209, 741363109, 355710886, 208377332, 668290802, 864406598, 380760248, 685036025, 795052411, 916084170, 390203304, 321379930, 91889569, 837062325, 901834325, 516751862, 545673576, 205741335, 112245413, 89779674, 555034812, 623032567, 5615163, 74984461, 137870662, 780612154, 20299980, 789203714, 500136393, 966571241, 19704742, 514434014, 325747198, 960105911, 577202588, 577586335, 362777486, 138966977, 513971893, 444765168, 251379928, 1049792136, 989526861, 228813775, 525666436, 521051572, 98694013, 903969820, 349151941, 678489602, 258015740, 15766711, 267669215, 526441835, 480428845, 551364051, 914503059, 1050147415, 189889387, 787600243, 799919080, 904333697, 694592064, 219005216, 532379088, 307605835, 210267670, 616976251, 537441514, 773077834, 706302841, 655137848, 290522694, 760699926, 550450473, 976109349, 507562358, 631615769, 452964655, 73735581, 257374536, 538680513, 93920410, 180220610, 597875409, 530235290, 454675742, 298315529, 609735769, 765776051, 1026729525, 314801265, 679354313, 119111399, 357703096, 1044329691, 53449929, 1045799514, 477856195, 98726822, 645245913, 105254330, 333069667, 802350864, 946564473, 544003590, 190144734, 422365829, 736986064, 561983568, 471475925, 656580525, 727821974, 518659652, 411724098, 1072914086, 373318757, 179507571, 765023160, 1024435043, 389441205, 496777307, 862491056, 30050908, 868681778, 722108208, 423201934, 330318395, 540838887, 312032819, 784824519, 267405686, 90329477, 92985475, 720551385, 681554996, 13664005, 516587426, 87524111, 657550163, 547984147, 596765143, 264774108, 595993670, 376244385, 412566908, 870990061, 881964350, 685129538, 884830367, 290961040, 747602526, 506438429, 796763326, 276477925, 634207555, 968030785, 961293866, 78819526, 632405198, 55642320, 39206228, 492436101, 800057819, 537396853, 117162466, 410868386, 110738060, 961587221, 1012563261, 853089862, 414802893, 875172473, 429969104, 10144306, 180825392, 200387390, 559253723, 746602862, 53293011, 335624576, 28738164, 1015850563, 940722532, 74860669, 111719148, 294895499, 682192146, 654834494, 472227233, 74735327, 830751008, 897117882, 1037961124, 778925724, 43077166, 672263073, 472399991, 409836637, 783554760, 131323026, 72734036, 126353189, 699149055, 422334284, 172353751, 688497428, 105578116, 380174786, 894548926, 559322903, 127438020, 845480692, 484572965, 214198132, 340004856, 2723836, 618468751, 645188800, 964401694, 60826640, 950825464, 900327305, 314880117, 396539268, 737647960, 49098839, 38025744, 824482519, 247330253, 577706502, 975727095, 674425548, 414997666, 285381025, 555559891, 352081494, 21603586, 1015072176, 940100853, 398082073, 85391154, 888910308, 662791189, 154747312, 217248284, 931932480, 56677869, 31429188, 287117022, 917248387, 902977180, 1053211889, 447254519, 297734401, 391404296, 478301996, 523267469, 799915621, 1011325982, 22479522, 554464517, 475171502, 1067144398, 693951505, 981209268, 22576986, 495151824, 785605303, 482831184, 606843432, 710176299, 1053561649, 677841562, 55879203, 17798236, 580247963, 937243490, 1030543062, 401353564, 766030203, 316528626, 370501789, 141937244, 100214677, 51141462, 886211474, 922445470, 394229940, 824300324, 825192602, 72468316, 63028561, 934776021, 679891838, 321840090, 814382674, 386212059, 266157245, 902905012, 13855029, 670431250, 544283160, 361789654, 298384337, 573198770, 631988504, 838012978, 890845696, 591287322, 667155600, 835129119, 796018153, 885189138, 728089251, 772671923, 945317196, 568900092, 859441019, 896669176, 353173083, 345355959, 997119883, 705686640, 562514006, 871618679, 359580463, 1059656725, 485773545, 50749567, 91402825, 29546848, 494174468, 668956775, 850028865, 429592813, 725646154, 524247022, 84357150, 391844617, 18951445, 804286870, 557373342, 427237322, 754588200, 198983208, 531698712, 413175870, 854112472, 919518185, 382017192, 836593713, 711167133, 319989626, 776990905, 609675083, 907096429, 707033737, 484978066, 21463139, 981352104, 677729526, 869138344, 901019032, 373404630, 715429931, 820317607, 571281745, 168419976, 910552797, 692710528, 427987727, 754552085, 646666122, 975739297, 1016052291, 166365499, 543726754, 787849403, 886610476, 48719093, 880668366, 213998555, 866077714, 538263655, 653783610, 405315446, 982808179, 1073274231, 275707351, 467960919, 568525138, 897966839, 95820399, 927671639, 785045573, 760084336, 76287513, 645695361, 256690134, 903546602, 899453417, 277936471, 741921376, 861747548, 388726321, 957605662, 303300504, 803211751, 659002233, 267118530, 585914092, 472518731, 174530691, 273407313, 425069973, 645547673, 257696755, 634745827, 965173634, 548483688, 454147672, 762899608, 470255099, 890982877, 355058543, 765541609, 753125544, 840264272, 971626702, 772150423, 593424262, 404544852, 839500517, 447176717, 231423402, 689273877, 345816293, 115566690, 179363028, 266046589, 400009728, 742670151, 715504045, 342878884, 87971706, 81640495, 808012973, 1044039579, 776140108, 257980980, 536429516, 730606511, 618480629, 365852754, 579278991, 818754179, 303126022, 128603241, 812067695, 511707206, 892404636, 703662759, 401539900, 807181444, 911503679, 218604342, 77066052, 563130277, 24929868, 1062915204, 679077679, 716369636, 77564182, 536275655, 963572039, 333229616, 43857313, 630351117, 908314451, 209762826, 387415617, 552260663, 578865041, 530556762, 1046376328, 880685277, 445985669, 279627749, 402581491, 1048900117, 545911266, 8039167, 789939946, 343288545, 702717251, 226064660, 193058063, 260982029, 774086696, 411358187, 848498992, 19971465, 387590801, 219935192, 791932295, 314755304, 14847898, 82318959, 621598297, 212484540, 28062226, 59519654, 325755152, 887834981, 265747013, 98797827, 681260211, 149962638, 242694009, 316185632, 816867846, 523855017, 913880487, 426951770, 508071565, 860410160, 369227267, 611856852, 556331894, 772985954, 219462542, 506671532, 1072450441, 37621722, 993873138, 666899206, 1010006139, 1065790512, 623663044, 677356841, 761583681, 551225557, 686378031, 144885661, 678626540, 309452270, 845311103, 683381135, 564100688, 778128815, 404151174, 52418247, 446779712, 633160431, 837325161, 351428950, 815390561, 467915063, 376377919, 539997932, 824864844, 846850758, 386801349, 806590162, 193141283, 528551310, 402414901, 124239543, 817540155, 155249839, 954787314, 426880714, 446890720, 361543719, 938056404, 863942969, 746650644, 860591519, 74395755, 493352264, 97270292, 193536846, 5197864, 728624274, 954952885, 797954509, 177545645, 107182082, 206030384, 402162115, 842083690, 147435798, 626140847, 338580658, 958844080, 516129628, 262390684, 1070844771, 568244832, 1055663215, 780148, 389889763, 898007857, 700657156, 521408125, 8533741, 455755055, 480626224, 860250563, 455213529, 648917501, 888595517, 655538955, 223178029, 578654805, 543632201, 552718974, 762031675, 796189153, 655638540, 714292525, 502578039, 236001623, 313939103, 37090640, 265360275, 369272266, 258569090, 879000425, 357192487, 122576749, 83258601, 332675331, 411483647, 831666839, 454567215, 645697914, 407611382, 870558466, 998481294, 127266606, 553939729, 494542239, 963278252, 911646149, 972550882, 402551704, 424114864, 245910017, 616330888, 169171411, 815801704, 566689849, 772071703, 317607383, 356818884, 397095001, 20051121, 775354985, 243506925, 112480250, 792116174, 391232473, 57103285, 214740265, 3051154, 969306490, 19954899, 1034890738, 628845908, 695880370, 247244079, 275304885, 681189522, 595019501, 694554607, 756467403, 787786956, 64544062, 293922905, 890395303, 782116721, 267915387, 595327984, 879900370, 125545691, 375479697, 983664452, 1011509644, 503821899, 456743167, 414832355, 6983237, 534347254, 476001435, 984962417, 116143181, 417474061, 621475014, 402131274, 375976303, 841760774, 331189109, 368855207, 1034483162, 357151030, 735306905, 873323444, 437431890, 937531951, 646018936, 1070280948, 602256728, 644439658, 101473349, 481015695, 380486677, 429191724, 808315111, 515850262, 522020243, 541361087, 243443540, 885429405, 255709627, 96004834, 44438661, 404335268, 530283229, 530663804, 457018549, 865645981, 151358314, 751086852, 667810275, 142866295, 467882148, 387162955, 232304094, 983600885, 13047605, 441540734, 615848779, 659047936, 283272770, 1049209680, 195870826, 899401271, 614596962, 849907758, 579897586, 994493695, 748143751, 1056676061, 51263390, 180386172, 76175773, 605439519, 711799041, 461741160, 640828479, 103162958, 349436522, 898302369, 890769540, 374660667, 421801131, 658465285, 318245324, 769945460, 338209851, 418460685, 127840717, 809289921, 706080532, 56218863, 621052334, 920108940, 10300323, 843185563, 539792616, 232915300, 493971432, 984557043, 224620080, 44802643, 297317875, 734259023, 529873428, 669256996, 886406990, 703710030, 660302860, 259677922, 399335209, 875918990, 315915650, 125316253, 801581967, 514336474, 491013244, 656349471, 57487063, 340358667, 285894146, 667917275, 573670984, 145328756, 151181023, 1031362325, 1049337780, 479396779, 551049075, 601019378, 903199436, 840783625, 644550926, 125614941, 435656137, 836942764, 496819756, 1008924951, 150216076, 549219933, 829968757, 727070813, 690769109, 1056699143, 176929440, 711943431, 97567205, 754305198, 540405309, 567132933, 492983653, 464027069, 795513097, 297517050, 371125529, 555269563, 69344957, 5716898, 17710298, 69216312, 640770215, 903855370, 998719352, 409409055, 816285813, 732599575, 127705181, 189085832, 385313079, 509858094, 109416565, 418985665, 1048023851, 265992274, 695691651, 538586400, 543075362, 663996545, 989825079, 310239537, 796873376, 302285304, 110734028, 892743585, 287822305, 727486900, 476233736, 910049388, 558500124, 58500334, 388510302, 722329480, 601780357, 700884826, 844037365, 167467663, 311442839, 1053541224, 177107926, 20426138, 276992740, 897659342, 705131054, 378150749, 201823892, 130740302, 856336387, 364192197, 391553444, 458194101, 837223843, 957632073, 989257922, 804743142, 136142014, 1028090230, 460838431, 857298638, 277018296, 89725430, 212115464, 756247863, 1026051588, 501293804, 449456245, 432832258, 545361811, 382027329, 814133088, 465549069, 609246681, 965253396, 1047667372, 946524849, 231001257, 153996536, 405134822, 526308030, 329037134, 983000564, 999612445, 79353881, 770484090, 700593099, 869841547, 63277706, 300797652, 333832398, 1022648738, 386488151, 1060700340, 357100841, 831261463, 722369504, 979040403, 1054901350, 940334217, 16492093, 916231939, 916809760, 664664481, 993339171, 466993435, 734157084, 729780649, 589042980, 73181176, 280456714, 303327989, 169614863, 133624869, 934521590, 951181966, 156630518, 412272817, 268891091, 68853592, 937424850, 1063723249, 565495532, 341137472, 441365652, 252454211, 398823557, 57795451, 29931145, 295300099, 696921436, 852161081, 325622890, 21260862, 1037169587, 811011548, 644085370, 164239114, 143946268, 274960933, 53134733, 134374208, 1030092432, 939092802, 762885709, 883322530, 222660806, 418337848, 539086909, 655318736, 877428899, 804495131, 440441927, 741280736, 769493539, 319749466, 999158646, 120803439, 16300845, 974002852, 39199866, 207025424, 537897157, 403106701, 606302392, 719340873, 679330046, 517400790, 402471129, 351276432, 836088462, 827805016, 833695010, 693695003, 695440646, 601486452, 806877995, 622238749, 690486255, 54139166, 670282527, 78421961, 262257002, 778343288, 100748539, 88126362, 26068276, 997139491, 432317566, 533556861, 364104416, 288905792, 950647570, 626294391, 6546160, 338476969, 353690339, 1003552184, 732734478, 360803299, 283473477, 749758137, 22587384, 878907760, 819725957, 591947844, 339088560, 256720520, 401640237, 987429373, 341579221, 499963596, 957519736, 421355818, 1026781907, 799144434, 541892726, 789879114, 977846061, 34624613, 302837338, 7156762, 246988023, 669671753, 405781266, 671003751, 306815062, 137993276, 211422238, 796185837, 743624903, 741734921, 1030329741, 514678291, 376823994, 595945574, 969633975, 169189090, 984068232, 1009662908, 805194965, 607198821, 538961838, 11000611, 771424886, 307948299, 554134241, 363476716, 427742162, 629654708, 890455287, 263471712, 356134147, 513376178, 654255223, 719303695, 729666788, 625494272, 1041184491, 208496068, 668328518, 986594480, 533605481, 838621756, 788536011, 413587572, 212565756, 495553979, 555372480, 354216046, 875367142, 230203243, 481441288, 785005051, 1036664766, 699810450, 899700061, 1533250, 713051140, 844753178, 118211668, 683207568, 901594353, 484713539, 495720404, 283088068, 1071060779, 251514442, 79093643, 925001630, 221294630, 972475235, 621828474, 830796069, 442260883, 1067448203, 118819707, 242762466, 793651962, 692189608, 619033508, 16760731, 845908951, 196966741, 298090342, 832867195, 518540523, 134873357, 125475240, 988601764, 364600597, 72469546, 725949111, 398329650, 521630313, 635198290, 704727250, 72881864, 809717658, 161778833, 440077871, 667293204, 174773046, 1024876006, 452637563, 992443374, 457509733, 1039401294, 821641115, 221851469, 426562816, 439250047, 260826479, 658957091, 648817406, 658357160, 631149802, 52094856, 546100131, 832753207, 927913070, 979376780, 398364799, 322053895, 88158703, 397963611, 945596671, 124292619, 546063286, 129885080, 457084232, 673835318, 688877059, 441778078, 829117598, 201310314, 157941520, 708671518, 421459032, 619810310, 289263389, 913604709, 53196991, 414396117, 246085294, 347292776, 787954184, 443470242, 779133056, 771886418, 1043073543, 778456852, 884506157, 615739173, 123522250, 494122268, 846901329, 720817021, 932822956, 914905723, 750043542, 227056803, 673747881, 654730616, 163350297, 898928670, 507050611, 872105536, 519197155, 543281346, 109939231, 958888660, 1061191495, 668186410, 752147143, 101361477, 682530628, 159640014, 754875254, 303230588, 315884621, 317377206, 714783577, 320332420, 541316325, 412055251, 416981714, 521232583, 290094108, 39505001, 1047940794, 784590719, 932030138, 635859601, 720368453, 440798660, 907673525, 781841347, 686479761, 7675455, 38444321, 391899030, 123911016, 721690222, 219384613, 830344599, 367216056, 369345073, 352582441, 1072907721, 827703718, 420745196, 513820660, 390641745, 1060631323, 319339090, 185317846, 127435527, 205315200, 544737247, 507778545, 346782756, 736755565, 177246662, 943850401, 640461846, 624354249, 734672040, 194305, 480797713, 817568303, 488489833, 529568785, 927262103, 1007914349, 557113172, 252525924, 127855383, 673499033, 722357221, 791712116, 460164443, 255257153, 609772676, 873400246, 690707332, 1040186506, 647327240, 817383317, 46312062, 868636442, 190108556, 1001207390, 358680419, 902757052, 368192751, 998953430, 434921025, 779037548, 277667593, 517605626, 316825272, 182250412, 731648457, 564880350, 676220443, 285009165, 867408513, 775317122, 804086429, 658622864, 603871898, 991265147, 251136901, 49634263, 946299325, 105761385, 873383256, 910490151, 1044490060, 550713620, 581357397, 632011194, 684973922, 432454079, 493663260, 397969907, 1058164117, 658220259, 549180226, 729173403, 183673793, 199167022, 1069459150, 140150623, 757665900, 462714477, 46242085, 965358833, 613295320, 936559417, 40915277, 736276642, 1059813561, 290385821, 611748879, 465773457, 840814484, 51730584, 495797192, 307844469, 22413753, 454005250, 671355492, 498423113, 798462467, 473525791, 461855843, 764605907, 101435352, 865555061, 545135729, 32867169, 219792979, 477670717, 1067237302, 437196110, 401109877, 1014004792, 653502993, 663874632, 948251088, 49938811, 1011586679, 997379320, 1021722324, 864750035, 688310980, 680873486, 53180595, 418183228, 1058111172, 328331622, 483766970, 734734217, 200581139, 35421954, 444119345, 752357534, 153001111, 934526573, 43880484, 981927891, 130544117, 624546480, 982378841, 995300362, 688486165, 474722377, 112287434, 96258261, 671986396, 475708733, 100188730, 944424663, 205056995, 1064792311, 573291905, 175761024, 630208422, 841568350, 696053563, 814469786, 1007141863, 747286695, 654753794, 404326317, 909510811, 57272467, 1022339400, 891528189, 750519439, 141712860, 681441408, 145321860, 688857954, 172548437, 1026368743, 276429363, 21456261, 1022424892, 125535526, 437384802, 532895606, 609710362, 712061710, 22697371, 97110444, 590686153, 106350421, 15413417, 1050492140, 168796321, 497952480, 273562101, 429778048, 852864154, 713437446, 137897537, 282069269, 149746264, 76565520, 223252808, 658393955, 345232315, 310719309, 6579174, 480393037, 156992322, 647271816, 872093744, 23450987, 782431210, 648342729, 695270864, 793897292, 497285077, 825959355, 897590649, 233026501, 110136581, 159529907, 688341665, 172604036, 722107015, 727549782, 544070704, 90692392, 778990806, 360496844, 803497722, 974930315, 908292673, 230374614, 1043526400, 767407643, 809363768, 168252792, 640887271, 884355446, 296286394, 992573064, 540909450, 965729285, 111058801, 368508962, 819818554, 28712482, 195148510, 1071528992, 260969012, 1024767423, 609969286, 495011548, 868975538, 806742926, 298614567, 541460375, 312826718, 733091281, 407364207, 452634108, 660051211, 811019096, 209296197, 184997353, 1067500590, 159589720, 924189369, 983046071, 613662224, 936196955, 557623395, 42182743, 961051106, 699357713, 947523899, 178225908, 1057318471, 342115679, 355981044, 14886507, 837800927, 667974772, 23202489, 981518056, 650455234, 1026296538, 180307879, 832033020, 333769105, 611473585, 113104759, 124609643, 803133816, 756399570, 213125027, 774738811, 780610514, 692399004, 80901101, 639872441, 134954105, 614488171, 502390980, 699543095, 32999828, 10606412, 461016454, 361995916, 216000541, 261040913, 707876966, 498791354, 268798656, 1070823372, 839548428, 408207257, 458422738, 959476797, 892372792, 907661757, 771558047, 627508537, 646516124, 46195729, 490056170, 944026762, 1056617923, 782420618, 654383393, 708388656, 733164447, 168230236, 46789680, 485756821, 1013939552, 1033961811, 218791539, 136093287, 555406869, 406926389, 1015932588, 682818628, 630330149, 119419738, 59350880, 709505987, 362335158, 349262526, 696681853, 689772981, 211036638, 286644553, 555079499, 963785129, 652089941, 961990744, 451421701, 173101592, 368550127, 98500509, 619729862, 128576175, 538693190, 441435830, 817276897, 900067678, 14578463, 695160026, 185187152, 595361004, 518059793, 807806293, 501382478, 1035894549, 373266557, 783366133, 647233589, 998518088, 173166096, 130721253, 727681745, 474394176, 226621736, 261940306, 576287779, 452175418, 666335903, 267164702, 95207893, 732712638, 973879867, 1044872640, 393868420, 771410136, 964174229, 938859316, 795719109, 284451066, 1012149365, 928313588, 909080102, 496982405, 893294718, 162102170, 737899114, 1034596338, 173439625, 1006743526, 732031109, 624326146, 137057303, 988997351, 714294221, 1020435237, 756173616, 8491334, 78289718, 98974488, 473175100, 371933613, 925908624, 53837992, 981327469, 270484040, 569482746, 847372589, 318308715, 1006394370, 1043287095, 52237312, 1062430525, 597988345, 947189610, 237481409, 614718695, 171879216, 645214464, 672244503, 530546551, 412479969, 779224860, 530734143, 732811113, 641142938, 733235910, 636057200, 906716216, 4797408, 420928681, 628119633, 60417454, 245953533, 611160334, 820256365, 84947807, 388876704, 317748187, 545955869, 650587893, 225840215, 428452874, 207619639, 627175972, 129494807, 205946756, 161791511, 679197959, 957414234, 436856116, 900681233, 1054813519, 276839497, 989457468, 716730253, 1009283461, 1009602822, 621013072, 646138133, 16801203, 9819207, 638743131, 998369495, 991094393, 828932355, 873665872, 992716799, 831295101, 1033688999, 888524261, 1064087832, 828509131, 636008392, 347343463, 406181, 1068223716, 757623437, 743132920, 698536598, 799960007, 158809294, 701550260, 678090569, 220249917, 1027546237, 671372574, 2684215, 961853108, 798308878, 640212580, 671721551, 965019986, 887125822, 641486882, 497668874, 838747450, 210235804, 697273810, 805145099, 389783454, 61468334, 39734882, 292651727, 377025047, 178182541, 33755185, 960476954, 788900020, 940844974, 498145687, 844244264, 489096380, 89806706, 324649946, 365972917, 39801657, 633990422, 560003646, 253808096, 575393669, 5644481, 847811424, 112880623, 712491869, 216436975, 211129164, 984202309, 343150525, 1039099536, 386602807, 194694303, 241851384, 822063866, 490664589, 554684613, 272548441, 306109151, 940588350, 12733899, 926482244, 779180306, 455471875, 30284489, 731567629, 420107921, 155267878, 375005160, 690694081, 623253326, 877256608, 60751128, 167273732, 686453892, 551922329, 778730521, 419669708, 1055702944, 781561891, 180369783, 369154606, 104174021, 164670866, 840560770, 439538185, 889296706, 70318960, 324483109, 49363591, 694008042, 409571219, 235543270, 696428636, 495274989, 750226751, 1064032781, 959181314, 999083107, 855137183, 959648099, 870863026, 323255083, 347271921, 435648501, 91512939, 701043309, 395685819, 1008232379, 801909683, 712717407, 762247100, 777707102, 407699315, 259273917, 541415809, 71828016, 434962311, 735829717, 571731597, 854897301, 1054715813, 518579606, 746785796, 987929722, 347197135, 873178968, 9629528, 382014044, 265325185, 281988803, 985394315, 932092458, 599252858, 693822000, 181264838, 816899512, 950832598, 243668103, 520420993, 279773223, 755280035, 314229455, 320396629, 599869097, 600173988, 1008332832, 151308525, 120105983, 162160014, 791496307, 672459750, 403427159, 909383795, 236352434, 953798641, 470812865, 261869968, 678220259, 10351343, 820175522, 486722077, 986016182, 680775595, 1038463118, 328123754, 462670623, 218350131, 1067514293, 631088265, 23398067, 209113516, 980356215, 1015988510, 448055401, 84200688, 436466266, 131406341, 192103459, 91829624, 18038738, 382164723, 767088542, 817782500, 691204306, 870511429, 229881218, 875630331, 87621839, 800221070, 1000046976, 32696407, 855566415, 907699151, 384682686, 721867772, 149217180, 1008029330, 360798660, 418321101, 855214324, 1062141730, 231713037, 492504034, 544605343, 516650686, 150363005, 1000316710, 587269742, 524745706, 1064697295, 433802090, 130181627, 320605397, 686011479, 367259648, 257101848, 905419475, 150554379, 987597376, 598679755, 1023035326, 288886276, 963475220, 83289523, 117668740, 631820908, 635731466, 452534477, 1007475756, 306675977, 74079383, 919076389, 675276295, 291296468, 1031379133, 879753818, 373436468, 1005174420, 104997530, 897355688, 462940893, 1015503609, 450788746, 677393594, 223008539, 519759288, 370702086, 412120913, 296298647, 58242546, 127393260, 1012674643, 62394781, 162893526, 610997424, 441400382, 505142383, 861192787, 707136858, 939689855, 459061598, 568404270, 420216480, 900801185, 437703332, 846255303, 67585959, 1073295515, 1040481651, 399386499, 742469270, 552559860, 924238690, 574173853, 256963921, 39252872, 958686743, 853847336, 999538656, 960816796, 847413925, 69755684, 368798341, 236843206, 165450126, 1006849039, 559167508, 466917594, 1030093781, 292259111, 722228082, 1027393217, 12218622, 470824585, 363686159, 242526735, 807460778, 5152189, 121423714, 681977230, 431675814, 647245401, 421820205, 624327049, 985202204, 916942014, 526296005, 452776734, 1035261700, 250418288, 217292451, 682895770, 953016497, 552099924, 19913956, 412535926, 622084984, 715740127, 796631485, 481654519, 798742062, 235693528, 480733452, 511132761, 338850588, 23132345, 870849908, 850379021, 1057039060, 654958503, 486461473, 555763922, 564690098, 328982633, 422250934, 984728645, 97535285, 99220066, 139324706, 1043895066, 427806279, 877806957, 1026884325, 452620662, 891874772, 471391987, 917250555, 933643126, 634237172, 530476286, 931282942, 244677183, 403278887, 1029658910, 84433442, 349691098, 633032113, 647635761, 1035756112, 657242871, 1043542035, 644030523, 196543452, 501314138, 957802636, 814834550, 881516182, 340602321, 389791179, 458610748, 762951827, 198004928, 355064331, 294282822, 763885505, 1067383829, 590005216, 8756077, 170949946, 587441975, 805533677, 183155576, 388675463, 473916831, 631391446, 191565814, 226778343, 1037194154, 768412067, 586889423, 758052248, 658409037, 661339895, 1061311176, 705811856, 10412067, 648871306, 376749423, 700822992, 284805923, 421938804, 454037197, 333395967, 322687599, 622959287, 118412154, 229546003, 324752171, 312959305, 539344672, 842590590, 273794514, 1029228387, 993300192, 167387567, 613340560, 858265221, 451776094, 772698682, 869228840, 915929866, 189083870, 464342688, 915292350, 416073972, 825438690, 215917201, 166134035, 607972335, 147674066, 427846134, 530876107, 111727661, 1053009548, 253164482, 881772704, 654899443, 506211151, 282832702, 832724791, 806003646, 392296196, 93343976, 611106855, 242793537, 869723574, 896515571, 862017911, 803058263, 959654930, 606792032, 366793279, 948740722, 147655926, 1034374437, 624586992, 185090708, 169425695, 97607877, 816241402, 463419194, 747974125, 655092287, 278853108, 920039751, 612513696, 326033932, 424645846, 209480132, 313911645, 747316697, 1005179998, 714678698, 21620519, 818600184, 1054753799, 337313871, 695704534, 264864002, 35631411, 525925120, 802062517, 654383665, 495754445, 879965284, 883039119, 71759137, 751105372, 815570073, 379924165, 1042843807, 618868169, 282110983, 800267597, 8202171, 438112684, 530042045, 244218464, 756826414, 10796155, 270404965, 376132439, 565833731, 964385857, 422507021, 189078751, 150340579, 908484014, 431981905, 570708283, 678422171, 427675471, 561570344, 430129518, 401630488, 930160569, 439723532, 740120355, 930514968, 230924112, 698186496, 1003844200, 516400379, 1016430889, 855651041, 36824680, 390242940, 171866378, 310988940, 199438748, 286459983, 373150743, 406642941, 924531044, 123932807, 994309640, 982968927, 289585965, 483496825, 1010516478, 956825509, 218664856, 451316219, 811485719, 353223022, 32024434, 259755346, 694060329, 601044826, 419127930, 948686171, 395281474, 819367006, 901800163, 1039342705, 831986927, 108061262, 1025063683, 304843425, 52897647, 123436128, 616632167, 923475941, 367908803, 868944168, 615964714, 251656587, 26704784, 940348599, 859274911, 331446049, 8381257, 948511600, 678457162, 505732761, 34146811, 481537171, 631675455, 658698108, 588653650, 323027675, 819084452, 843679338, 37163089, 456277741, 1010379948, 475452609, 62300147, 769221183, 690235012, 164923946, 260556851, 908762777, 277896098, 43254995, 337077184, 189088892, 327363252, 1065460892, 781428891, 82840911, 307363009, 378978841, 748423862, 685111751, 937460028, 156474812, 227331481, 832832483, 792045178, 113071276, 154651610, 951892252, 824093211, 905602609, 642640369, 115981215, 445387138, 728717648, 797157169, 569436405, 149663574, 741526841, 714523284, 108948420, 835137802, 920044640, 107360477, 94590309, 730768711, 67866377, 269692363, 72205144, 653327993, 189386157, 639436458, 101895084, 652139337, 326450983, 845698511, 313332360, 220620120, 207501734, 371953746, 113687268, 311188984, 710747245, 713983694, 1010733659, 1006336673, 995895654, 1002185599, 1002845597, 918989945, 550928869, 834313505, 623927414, 94778102, 983239670, 327690270, 782950022, 201248421, 869795723, 893597394, 357678475, 691848534, 835738626, 109143995, 146494726, 216124140, 15846782, 186285670, 284538457, 759873505, 588010186, 119613081, 244146794, 604841739, 389335554, 210144624, 684781945, 752571152, 207704310, 262190132, 1038243928, 485210800, 823844783, 874952055, 517845298, 506098395, 953895705, 382618712, 780987420, 47881592, 943928776, 115992534, 1005386299, 260269352, 974260176, 565001067, 753978919, 1047098753, 37008898, 393279028, 242880821, 763421063, 868058332, 171332008, 541699383, 986574407, 1042120430, 934196370, 5553739, 81623290, 232047811, 421707431, 970086934, 574900664, 100098804, 657595231, 602262330, 793551087, 440364581, 316440469, 158100431, 410397957, 715825006, 627282216, 156663096, 530161177, 557422927, 1034088551, 562434630, 665204402, 326371924, 668556734, 952702726, 733930274, 518255986, 644274754, 363928813, 319370825, 431031537, 267245589, 740569322, 448023533, 215718075, 980322931, 953395419, 133764184, 887087988, 1012511345, 366240659, 178626850, 853041427, 141886582, 799439175, 94480300, 20186464, 170058311, 13989368, 413156217, 808618527, 796685757, 819787411, 100988691, 716002277, 878714253, 977980624, 1025274924, 1060688022, 904063686, 567786988, 926776059, 556298598, 175458410, 76849849, 905770433, 239987441, 471202121, 868803909, 908681117, 132144974, 285715777, 1025120988, 832089518, 910862774, 66964750, 816311445, 673312256, 440129201, 404384903, 648024271, 830197927, 504740476, 648399831, 371546737, 996868331, 226240919, 601458443, 245647685, 713041302, 200242525, 254305376, 654090505, 479946823, 376643314, 143380813, 482052053, 33459520, 19689035, 457851642, 319952397, 648428909, 851754976, 933649949, 602471604, 348746694, 738499152, 331054785, 432342898, 311546619, 952827271, 186497815, 319452411, 963559046, 250167724, 440111898, 605549248, 103244477, 918273551, 101914668, 928842279, 173513227, 396618591, 537148700, 172701765, 593551145, 371598800, 27020557, 731440226, 485385021, 490163592, 280337427, 882431213, 868650320, 354051113, 692043956, 81830424, 30073172, 517598086, 76003106, 27612356, 706932870, 546710555, 115831015, 1016352627, 714097796, 541917847, 122663379, 730861321, 523823578, 823049696, 712583804, 135017121, 868867767, 13788454, 47085940, 91282624, 768452014, 447562364, 928691799, 308763017, 385654536, 389305362, 114081516, 1026039736, 725204995, 665152830, 168002736, 111225405, 605605561, 408560384, 89016220, 565640772, 31172159, 216777376, 1069040314, 613326146, 423952036, 846563079, 622799496, 634529215, 59324782, 417364462, 385619468, 295207598, 780034166, 458786211, 585077304, 762468668, 217628083, 476517337, 857990936, 469589483, 235737183, 364944237, 71066845, 239094063, 209454868, 80377823, 51192193, 865353616, 370562258, 469407685, 928064755, 879185737, 290523750, 759568740, 503200492, 36162858, 54077347, 699986521, 304470273, 76748306, 81778905, 1026931104, 716978502, 747325678, 14232386, 693121978, 451917155, 871401027, 587344178, 201059597, 504657956, 221701719, 197857638, 800804390, 1004009930, 1024568036, 369207764, 620519971, 704213018, 757194891, 114229234, 959175357, 627120142, 790773108, 1052141090, 688773547, 61293375, 582700474, 727433578, 412167191, 70444862, 764562681, 523774432, 1041019533, 751771929, 516171302, 309073613, 981675780, 291543969, 240725704, 89155225, 787470284, 736526507, 435066253, 59003591, 925176898, 398299547, 824481376, 390387243, 704955278, 957587167, 669025006, 110407908, 571280576, 128723986, 629310074, 848738340, 936745765, 792090783, 1051026233, 335244772, 588153988, 91524052, 136071633, 469049397, 996731119, 3176049, 896787071, 478071615, 1020463537, 920817506, 960682645, 917301963, 529013815, 497307878, 1066175297, 77335429, 886534762, 629266757, 929265595, 501890548, 946822385, 20480668, 738165537, 1035805111, 291824949, 889796434, 391294042, 785996930, 800347016, 668366326, 275415672, 5968217, 138792885, 201921005, 401184265, 142182795, 787132501, 632709185, 702630975, 741387030, 185881215, 362529435, 107409370, 273553800, 713011761, 109610935, 708049508, 879143521, 425481293, 1005702606, 258750985, 438835498, 6222195, 502605362, 105210031, 654485472, 71579406, 367795980, 579513083, 516302688, 240049249, 100062278, 916448839, 188850127, 429761794, 628679667, 511062632, 547450246, 363304921, 1023077933, 942606581, 80825327, 1002561709, 557487497, 347633936, 1043366835, 841185211, 518747334, 310830300, 947022334, 177392262, 387695663, 345665932, 550170527, 361938585, 836828728, 515518237, 1040491375, 799607475, 208454251, 217132114, 622119229, 949926082, 978187202, 373319215, 339667270, 840351384, 698367325, 981280495, 773369927, 721412472, 434527239, 994605647, 349900794, 503977065, 674356195, 346148202, 365056283, 872798395, 720721983, 605580049, 550534220, 52547464, 952941846, 380283940, 1059244482, 173922994, 937589906, 1053470331, 490311790, 909700610, 951961564, 976569896, 224505362, 1065719294, 511877660, 298759254, 576362111, 6398180, 462283247, 522778778, 713124290, 125031506, 390293126, 465663308, 569431493, 1004396765, 924685372, 930930344, 1073501756, 428921262, 658704963, 212342697, 858549079, 118539419, 892355263, 241708840, 129683886, 734355173, 1008673699, 696100080, 439232504, 721190124, 922131602, 309062610, 973685323, 384643787, 791216728, 874653428, 509370019, 177498417, 586322073, 707781780, 237145355, 926838180, 79929729, 205268540, 749731698, 624301506, 1041668844, 36549989, 466939845, 217132463, 759165476, 701538548, 913989356, 714120863, 452696621, 184153595, 644832563, 481209490, 688013669, 168973333, 140124437, 458593510, 51405782, 1029504782, 623252193, 237943966, 549922717, 727639542, 620724495, 195621688, 399194029, 147255392, 612541581, 578142935, 448615003, 143767552, 368054393, 132176659, 386233658, 684637976, 1029487753, 1018556367, 628334570, 1006252388, 633488732, 14251757, 998152790, 210928265, 348340774, 889904551, 888571364, 910080719, 684213937, 487890944, 300018737, 558165786, 128869448, 802519573, 1007789922, 85427936, 262694554, 943518415, 714955903, 202720538, 211216807, 203588454, 384834412, 483731863, 542601749, 980045767, 233393338, 1045516631, 647054921, 535307287, 710428372, 1016877128, 305036523, 387819808, 147012822, 1059833328, 533706752, 961341688, 855189614, 523632545, 714296095, 440460800, 593365593, 755297666, 911504683, 1072508004, 94825535, 470820035, 398891897, 398430435, 311785871, 483014624, 322619605, 394922916, 63348298, 735565097, 390796695, 563634677, 715247395, 227882378, 61294026, 267953752, 119926016, 115377262, 603255518, 311770221, 423566341, 503882533, 709105784, 49433683, 386337377, 447920777, 571068517, 726647123, 163336759, 419498797, 426984648, 522514998, 772597252, 437780545, 846052733, 429746380, 127024541, 1049218033, 107257481, 302440741, 641615098, 443709349, 33635848, 330494637, 808143676, 84682196, 116557389, 195451394, 439649163, 205338968, 85788305, 828701113, 793749206, 583134631, 428396257, 228723235, 345971272, 514959102, 450701831, 301124391, 130719270, 144720922, 712649786, 548355445, 756028743, 652669061, 882179652, 757638521, 318686434, 325277979, 263229863, 413870875, 406461852, 451813288, 146038519, 1031609441, 134385615, 276582166, 1027919657, 719937522, 831188545, 133574227, 144941481, 147556085, 1020153586, 713590581, 11491425, 546221513, 952969079, 244308769, 154567578, 985943769, 402596305, 875756456, 663864720, 722876584, 402081362, 244800216, 381910949, 1001419734, 910633696, 181388560, 947259569, 925739937, 65380658, 976218077, 148115727, 1032184066, 185723215, 1040693318, 897066000, 511578607, 222012619, 191932396, 782479838, 449937677, 312239925, 14750245, 557914958, 272523431, 912186141, 735823368, 551960768, 117588964, 137169656, 457352735, 766972944, 899034858, 131990386, 11068081, 615011165, 186059582, 106895940, 765067710, 889490798, 33500527, 797434875, 612680266, 472348162, 599265411, 560918860, 454485873, 408307886, 733304386, 220054387, 549928934, 35558532, 106261539, 478723275, 77663607, 299750898, 188293039, 848848755, 46019294, 195790679, 54336459, 459942302, 941528597, 961359999, 699228530, 680311719, 798582703, 202293670, 552681889, 27189795, 891600914, 364464205, 127182809, 233032963, 931192947, 462557772, 48358109, 603605929, 15758545, 1053935510, 83973140, 753773836, 1064095533, 356657727, 657997514, 946590596, 920004638, 59494718, 904731696, 729482536, 191458009, 618248273, 606195141, 604692856, 367449793, 650981688, 325065576, 392595941, 447309883, 802697730, 709495990, 241086049, 709303453, 6389065, 1033784979, 314829287, 354803677, 549605369, 816277203, 7046356, 172262122, 582148401, 133719034, 275292005, 114719780, 262452854, 199430999, 811348115, 854545726, 723846065, 71027100, 670600063, 980855704, 723761422, 215475530, 312011839, 443522189, 318632741, 749720183, 1024069413, 925706474, 1025248027, 1042610099, 208349568, 58412166, 137367358, 622465427, 589032412, 699246252, 996795820, 983996202, 505435993, 105818856, 822341794, 774045627, 230913165, 48180084, 466027360, 133337278, 659158535, 955741059, 1011785759, 389614719, 99765248, 1010135391, 611050819, 279873359, 647682692, 839325431, 379374504, 1039976418, 423541931, 555144711, 932394177, 628469682, 490595045, 29507463, 992826635, 545068863, 81881753, 653480196, 122365322, 808039161, 165322653, 304084513, 513848062, 955167893, 919743575, 371583324, 74112040, 581778920, 156377382, 277621605, 294407116, 682284136, 550988279, 722043343, 138944624, 72049336, 1053870691, 964379335, 464474500, 700474855, 767207898, 451406203, 863198568, 397260593, 989744101, 223468895, 452803909, 825779698, 602349836, 623724615, 193850993, 408584679, 1046594674, 91354592, 894558022, 158161711, 489801088, 176407538, 440042245, 853681414, 746529345, 603993702, 405128822, 869811237, 774954639, 533178008, 1011887076, 284629656, 218111095, 194074917, 381814756, 759023130, 215826975, 855398720, 444981031, 684085391, 368546942, 580510167, 771895385, 124373496, 186143377, 530355561, 690778852, 541509539, 760461271, 532288954, 940140945, 596905075, 601097772, 191569634, 124113281, 497957320, 615986246, 399121091, 829848706, 600307592, 836893211, 50503266, 48804824, 272624543, 885266803, 527356285, 234741713, 1010929624, 911865432, 52062352, 1001732507, 879396282, 334928523, 337323007, 938197054, 806366956, 482446570, 75367035, 152465340, 902668196, 176613386, 218656933, 475170268, 436794859, 530152630, 305635654, 2548956, 309586685, 590252547, 762471787, 213158672, 85249289, 237404933, 443063879, 1021456875, 195562277, 538061016, 611399025, 580176005, 54392240, 567055241, 746039930, 375356270, 245065289, 330864715, 368346738, 209710479, 235163681, 19172316, 757598995, 732337375, 517821285, 150045425, 462079002, 312867764, 160130593, 920728424, 25768903, 758184581, 626733118, 408807117, 894313787, 252094137, 374977328, 206100808, 1023624931, 417196595, 28807363, 311221208, 200690394, 750985897, 611173220, 950206336, 179362647, 70226808, 765096830, 432516560, 422999686, 462066881, 397906213, 763986737, 569820809, 374925571, 289830222, 1065686455, 166097899, 261152673, 501393914, 1057022989, 80361642, 76877967, 285475618, 521244837, 154094654, 809942974, 27450246, 511779542, 120033740, 565533679, 208624654, 905294640, 618986504, 868830568, 1002257732, 833478651, 698633269, 1003380120, 877173480, 682094590, 80177849, 222339480, 1002477972, 411427850, 890467087, 1039195589, 203710183, 548248577, 344325694, 310699077, 378026151, 833625167, 600554335, 688009308, 463553452, 543001541, 958835401, 198560217, 877735405, 271780822, 713665994, 21048468, 589999396, 384679738, 520289560, 939327968, 509884407, 395845629, 320729331, 771328206, 479686880, 531299109, 116344445, 894218624, 33139761, 83002687, 875159351, 1019963991, 47035646, 1017588087, 258798306, 521223669, 708837579, 58592088, 185094567, 302028019, 648479641, 985683865, 355517436, 522121564, 882330510, 860086611, 950641756, 217588537, 278485124, 1061864090, 904317163, 626406480, 393657667, 683708247, 673874877, 478176483, 1004086381, 286770890, 457011515, 155473470, 26153408, 615006597, 1021782526, 51020349, 548561866, 81659214, 122423684, 658533273, 296520168, 7676777, 170820127, 686296513, 698184273, 1042110899, 110112160, 1034218777, 845147986, 114856633, 470300606, 966351729, 756987143, 461915228, 409438825, 259884871, 1001633075, 357822888, 592617519, 421058328, 65422340, 355790427, 962918444, 399896298, 720453711, 185817445, 236445150, 284698310, 56532000, 644993395, 963268035, 921575200, 1054663741, 364109628, 687837644, 1048869406, 144986275, 124476259, 1034128163, 571632316, 426387614, 542396866, 773119332, 204870156, 329746371, 130802286, 9282948, 993016561, 1007073453, 437046025, 261461111, 741366276, 1068515782, 248203354, 232511478, 280370012, 14619669, 905532227, 1065463887, 715118523, 512497694, 463766498, 21216735, 806127231, 692130348, 505419529, 964580560, 277381191, 106963327, 1062935783, 571504110, 999711255, 569532294, 876841504, 369781790, 245194333, 106963935, 1046065864, 238570202, 863655888, 59347599, 881222248, 908641269, 103820961, 38922847, 1069570134, 114891935, 117277107, 482921279, 64577349, 70293087, 142263499, 1046594197, 732862841, 844767270, 621627003, 513469708, 943150666, 901407111, 589567270, 267229595, 88302155, 955823371, 469690093, 1004315634, 833053690, 653818622, 965866867, 663356945, 1066814385, 138296056, 789044570, 702597846, 853968458, 329977402, 394067724, 478238929, 730349751, 206436877, 270505572, 1003810569, 13029267, 840339502, 107173852, 496081825, 132384987, 827548351, 130042065, 555428922, 1000429414, 232208915, 27181869, 302137574, 876981238, 627076693, 753826324, 214830632, 317113434, 784968776, 172239648, 410533331, 1071087680, 780671657, 104394004, 680021198, 736889161, 846803034, 606687057, 678910653, 774073550, 596396972, 703474753, 460964845, 84215785, 650562453, 649031660, 669830830, 626006951, 1020214279, 369201631, 711256595, 29494491, 852372844, 718457988, 226061669, 103070729, 699986837, 729989069, 677237271, 654084115, 166044722, 739114907, 57068219, 853110491, 893671587, 208058744, 947440378, 209616896, 741462671, 624601998, 200020228, 54881095, 350799269, 857360644, 873452907, 550481833, 389246429, 506718823, 153335290, 73046978, 4825618, 143696153, 471921535, 229971217, 52270115, 940391608, 172148644, 930562132, 943367518, 133993892, 327903808, 90787005, 442724511, 255652774, 825892017, 417222485, 187798534, 588661320, 912556969, 893351725, 866736519, 285650617, 901424313, 284087934, 142987179, 886427900, 63545696, 759458751, 1046133884, 651163885, 1059752906, 450910123, 1015225371, 662332635, 923901184, 64510826, 257704301, 977336488, 530737306, 258574947, 433497483, 213110452, 407780797, 746902396, 706432923, 568973969, 558977754, 581353504, 322118784, 598608425, 473090352, 739161557, 152338522, 940001822, 493058826, 826092182, 468578379, 402606502, 67110440, 268582168, 1025364514, 117434532, 633183208, 859039203, 919059604, 219457748, 582792964, 323168761, 542917246, 559484923, 298551566, 335257107, 182329892, 278752259, 674499188, 667671156, 967833131, 273089276, 316905914, 1007870145, 732555666, 571673616, 448180773, 723576484, 888453666, 166896960, 661406538, 475062920, 412945787, 810154674, 183216305, 658684624, 304353174, 345394299, 1066510586, 760600565, 980228961, 564469172, 224471440, 819174685, 898099288, 841090896, 185307559, 545646103, 55758447, 287447298, 585270353, 340839972, 195137710, 414640550, 979586388, 419615981, 1043715044, 506076658, 1006371628, 360900318, 426027108, 454641458, 419112669, 32799924, 274006043, 664833200, 950187378, 190550440, 787393893, 335950449, 214339397, 876092809, 1026001041, 255492776, 455673377, 667942099, 172363978, 509449727, 800221836, 584221107, 227007924, 384927046, 615842158, 970782323, 390517930, 386948301, 330724276, 244826816, 588117989, 268438371, 1011828980, 437093962, 1037574058, 168932223, 318769663, 53167952, 886133749, 54044544, 1051763249, 785776643, 724173150, 634697972, 754765743, 296874131, 503517304, 241680747, 568772923, 799195396, 861148610, 572156850, 1058383112, 756314552, 404543930, 984721619, 175667614, 343366419, 494306055, 265141549, 1004991533, 528608079, 335608, 698326339, 293999178, 856181382, 813224412, 630923212, 129860439, 954160757, 1061371670, 578014452, 828476141, 291685481, 979560536, 888881832, 32295431, 1070236469, 691021827, 250838857, 767943722, 839131683, 383466281, 670156611, 342310109, 29641762, 149516019, 280596288, 310395172, 1021719816, 333722153, 249196475, 969422585, 471627148, 214535741, 407559050, 308795109, 465249890, 890812352, 596981826, 755353024, 446597275, 38035576, 564346464, 693034714, 665846058, 702302204, 701623156, 720543778, 456355757, 67314759, 17561463, 847624974, 669884245, 761535381, 423619681, 272217739, 299779216, 695848636, 14405363, 446379055, 290134774, 233560784, 331248654, 225940606, 492973489, 138032776, 375554425, 713524065, 887360416, 1047110568, 60312959, 921557673, 159023913, 302472813, 418377054, 774753231, 107783551, 427752346, 230798875, 562972279, 224571737, 563309210, 848492982, 46407142, 582160920, 381198507, 1048074215, 34895374, 903650801, 986617162, 562893015, 346397789, 333515282, 128494314, 346994029, 306912323, 1009323147, 808343911, 89485713, 725311947, 599344138, 668045894, 654894863, 881397019, 1015340636, 403244382, 66911532, 940612848, 285505173, 628231711, 858665395, 704895365, 266254918, 494649257, 102697346, 629886824, 191438659, 1071537610, 444423626, 467321022, 496205314, 805777570, 852190733, 360748212, 647662260, 524769106, 834047123, 857405867, 648448009, 188165412, 53898682, 391769269, 833259961, 24092645, 337769629, 500853402, 290279963, 1031606930, 850679101, 380713993, 728200929, 598859427, 375801723, 79560082, 831714819, 741484037, 92776536, 752451013, 381890471, 951493992, 157871740, 941929483, 682286978, 1501099, 829735613, 103425450, 423855946, 1065413555, 191115752, 922433905, 180005072, 83640204, 692369735, 631422562, 152974746, 289708705, 878265617, 773401780, 43185716, 189881569, 795566709, 131435239, 292846081, 14950517, 596739712, 297751561, 561032988, 430841151, 792330812, 203582013, 75321405, 128666756, 557952990, 90697439, 377057087, 354372240, 82175690, 593380917, 343351870, 697318838, 796249600, 176889551, 486006583, 971385734, 628070202, 400212655, 978295637, 613529211, 447475550, 765557200, 509825713, 1028565964, 242175395, 113433425, 467901094, 577437265, 1045190417, 188012388, 977279548, 926393537, 679734802, 320490362, 618560476, 1060962498, 484716180, 80890051, 177372399, 689632913, 914268669, 994750086, 984935546, 1045087359, 501907647, 897762207, 32852022, 421645062, 555912974, 950813177, 175539700, 93438041, 870081168, 670242252, 193101370, 636609540, 417808051, 332598976, 1036492651, 774588571, 341321952, 740450212, 265601421, 501949009, 721847144, 850294297, 180462199, 645595580, 223336305, 543159009, 10616613, 268039621, 791040946, 992800106, 527166246, 138485597, 707392662, 898532942, 125422529, 357856769, 382056651, 650975836, 346229177, 367391117, 327032699, 667948675, 374662594, 631787443, 855066251, 1062731568, 542652899, 314655347, 295029737, 319759597, 363511770, 767022590, 224423759, 792639588, 614954116, 258203788, 1002905781, 1066840586, 689971999, 580621850, 585103213, 769147042, 979885629, 1037695984, 958617882, 443664962, 448177312, 592015790, 743033724, 925811361, 435936778, 123859732, 487760713, 1064795969, 278045742, 317423139, 899553973, 1018352817, 48606556, 699785621, 45771009, 658514801, 917524559, 278310221, 510562639, 116112012, 501883684, 328439777, 685738247, 225514246, 401036466, 867046280, 338401554, 174394357, 356862929, 921107463, 1016427992, 228760825, 848325090, 89655808, 687247608, 426167466, 303860628, 756494523, 537827923, 896012455, 11464617, 895891931, 1024740700, 221555085, 154692654, 28140662, 252037020, 362350055, 1043225107, 536566100, 768120581, 1034622976, 880821931, 461113177, 498918404, 513596997, 931335273, 1016363920, 750558524, 253006923, 263064215, 563374611, 519119727, 446745633, 419498919, 783414203, 421337275, 555433903, 273174911, 823936483, 502799230, 326125995, 1053937693, 55424811, 316513257, 897905874, 486279728, 686400700, 527267365, 1067401407, 892403631, 184230719, 179357330, 991254660, 440546537, 134135716, 197570093, 488495902, 402005243, 455797377, 1041794515, 937419354, 1043050536, 344861054, 496260990, 433383759, 253108288, 847392920, 724393904, 143266583, 26220339, 1047085500, 322191838, 1001047936, 1720292, 790660770, 808903812, 63380626, 458284705, 793109047, 631932608, 927962355, 1046751770, 1001323394, 381004452, 465509189, 762194096, 596021687, 372548668, 22463349, 891499785, 352186268, 795540280, 981445847, 934743931, 984746949, 929612156, 493995993, 212622184, 495715724, 792433855, 132611280, 436776986, 180764259, 473928745, 156994212, 691743024, 624258134, 79439695, 676427131, 210476930, 463532371, 1009542381, 789991936, 981917869, 1011561363, 33742509, 120245798, 805551857, 864006334, 429978995, 413313037, 28504392, 217529955, 712062396, 956404718, 297937168, 458839851, 103978886, 849184792, 84380921, 139299119, 363384676, 420277792, 133392752, 746063248, 458976381, 1063815721, 356692909, 65797623, 496095036, 701726607, 104333936, 87457256, 1012958439, 188729843, 527754465, 913191808, 304615865, 480748996, 541616331, 182234825, 621670953, 620608653, 800453054, 95345893, 633822494, 552467227, 1038558601, 403194337, 721552740, 844123394, 936057768, 84740069, 539950408, 940114864, 530868390, 464303873, 157075164, 662227138, 174358995, 260356119, 377632, 584017741, 762073968, 160653561, 246956998, 287996697, 101414173, 818808214, 412874438, 928601714, 897328446, 381541303, 1000783637, 244783970, 137013161, 1033667528, 601551634, 654805190, 1068577203, 1012655128, 955346447, 505838489, 233153286, 663947240, 824642995, 429986081, 691411006, 1003858255, 1038131152, 1063830782, 941596608, 467686156, 447069681, 977707784, 164666685, 353712651, 102022589, 81136954, 241381304, 465334553, 128585598, 801044677, 492637561, 267287819, 350653986, 53841323, 275620828, 435297898, 1007500031, 278432030, 361420865, 941396136, 61535227, 709460085, 688433605, 745009405, 861440727, 1037098588, 632365052, 863834423, 56266057, 133501493, 431033505, 418467948, 240725639, 819676712, 616984122, 308357956, 423735821, 210799904, 609899765, 352908549, 570665004, 247278671, 1002513307, 592118020, 757262358, 1022353013, 748441919, 994595590, 279401698, 195922953, 970051832, 777752409, 282895476, 854316759, 78890486, 427400588, 25301463, 550070787, 821582810, 369258151, 275019494, 569065600, 68568158, 645046245, 887177899, 1014454972, 400858834, 738237703, 643844211, 94188070, 652419145, 838290530, 908487617, 204549800, 977767185, 397835325, 424921201, 702349664, 377621043, 589639565, 483816360, 456588664, 775465708, 207754115, 119999560, 241003102, 45380763, 799694008, 295414917, 982315280, 193738139, 326124435, 159022191, 72745021, 684683156, 909042058, 872898479, 615477992, 228913724, 993918901, 841119466, 429343560, 500706054, 833434952, 962824370, 231956412, 679598532, 819254127, 706357690, 493052636, 909285465, 1066240868, 465436308, 692284407, 747011234, 145562153, 675279470, 563759516, 1057136980, 409989751, 422391276, 452724169, 944010548, 138370031, 1051952095, 354851081, 301671101, 974334118, 413746851, 423167311, 960004187, 71428811, 314598821, 406197202, 126601440, 920555771, 641798377, 875778622, 589367023, 703912063, 423241285, 267198092, 620565127, 919110847, 230966697, 363591927, 654191233, 63719948, 610998159, 1058077243, 63633495, 276804692, 804438803, 270693024, 492255217, 54305003, 1051560566, 996226988, 382695125, 166410540, 370419350, 1065784376, 358616203, 392510132, 1037341646, 231133674, 817714176, 800204037, 93869537, 617527550, 572695656, 1059284840, 614561707, 969019785, 313818220, 697761100, 1037278782, 996620668, 709723528, 379808724, 206228101, 692339652, 459212153, 865508652, 262566922, 991862361, 352010298, 434928966, 948870206, 919156947, 411770382, 972181553, 753226842, 981943208, 934884012, 397277001, 476443461, 182925099, 819887896, 1018194493, 753511917, 749795054, 821786718, 1017668824, 200626845, 951984072, 54792825, 1022135709, 16253392, 350868868, 451066005, 1006783168, 492288521, 608297885, 1039657507, 13295394, 367876259, 541530326, 536211210, 343317551, 530910622, 25874497, 432894332, 380152411, 96116516, 609636496, 42959479, 223386590, 727467630, 579353600, 852484304, 158371801, 822578339, 957621820, 339510286, 45969271, 657971186, 134189468, 302233816, 889398930, 812865406, 181798558, 902791381, 1032382626, 346272880, 936542973, 1017665666, 731708873, 107190452, 591094150, 825793983, 971158667, 335021124, 267561364, 51014086, 644346149, 446293110, 222674407, 177741287, 882403814, 396068230, 594896406, 690204768, 459530482, 705698683, 1003303088, 675482869, 561369387, 182398285, 755410326, 734091500, 654508917, 897956187, 528195746, 429906235, 568246776, 450641258, 64143774, 281780836, 492451864, 135879607, 156551494, 831828413, 323874830, 579463556, 360304464, 321553338, 902584478, 367415191, 711388039, 752797188, 412458986, 884848339, 669942190, 1070374417, 358863491, 826330871, 448699466, 196300433, 666464823, 471645664, 438169078, 538593328, 174214401, 794085012, 440060895, 653625408, 419464354, 600391767, 127135388, 93201124, 1066104674, 738579446, 357961342, 888981346, 878596025, 54022794, 154101510, 849711449, 903371888, 211157725, 1033920287, 663838193, 778904884, 670945304, 889168742, 574803304, 974765501, 336824991, 320752795, 545966217, 345872396, 838314539, 774954681, 256060007, 885722128, 296015794, 95952660, 635008588, 224255101, 320484866, 258314999, 188581476, 1063262624, 233829878, 659465907, 805435064, 840677942, 655325594, 292693119, 583358114, 891919869, 586512791, 932429804, 239045348, 815354720, 1019477925, 615608251, 179287746, 574020712, 650025785, 564259619, 486111721, 54159303, 728698080, 230180160, 809739162, 645676157, 766542098, 619359264, 133882677, 1015279461, 574127236, 249053203, 738744309, 164304201, 1009700192, 787640767, 204628299, 479794259, 390906737, 386348913, 272245518, 693920659, 823345485, 831610131, 660153183, 643448682, 599557750, 446436300, 43011678, 270515082, 830254729, 185202422, 168898793, 507358805, 400670295, 638207880, 309531408, 177702461, 76430883, 96543589, 74310010, 33918748, 234304998, 133738477, 268171790, 895967785, 1025381772, 166416057, 291064164, 869321838, 951616365, 489569757, 307342422, 525427503, 282794509, 759149170, 412952490, 239513881, 777722266, 772328700, 1014638421, 607589848, 86209874, 500988891, 491164859, 698144817, 839713132, 922353183, 744561645, 859585866, 723665965, 330779267, 22709405, 767928168, 930966864, 668103856, 9300414, 803863423, 20377750, 298219751, 970736444, 970580194, 185389810, 718363462, 575201639, 251832901, 29240656, 489837157, 97250613, 575184564, 989309193, 224846700, 628069331, 594448857, 557798856, 362762569, 386731831, 67967833, 248532625, 722720083, 849201471, 1055009370, 813689509, 116501950, 904188652, 645746057, 761785273, 509168230, 730790136, 887174270, 179052089, 220515843, 47220851, 733104027, 192119119, 777148107, 423958156, 450945140, 27498533, 126927347, 718973373, 1006498809, 120022890, 100192282, 1015597300, 628615825, 599576147, 226515203, 737955796, 952329672, 190227882, 285140049, 91049903, 950452657, 712863718, 448901700, 347290225, 761797377, 480138299, 911440629, 488393650, 785238098, 1059623900, 53691141, 975779442, 439940254, 675968865, 671803819, 383202127, 63056873, 239468413, 186437688, 700338123, 415434674, 688185010, 900273847, 518965131, 643389615, 500765151, 521387470, 223324879, 333352734, 692508324, 259899329, 257341203, 1000113217, 724515380, 170725428, 332657036, 343663833, 1066524710, 167808223, 314739952, 636109906, 645137997, 636617296, 765894886, 107929178, 433281235, 24632200, 390583750, 801460882, 361673871, 723411003, 122515791, 653078755, 277611742, 907520147, 179408576, 487603619, 379952592, 887898320, 1030787084, 434212410, 1010516010, 804292382, 42352411, 968085068, 257274596, 878368937, 552019924, 1010866928, 837656688, 473938539, 236346289, 465238104, 456839329, 562539945, 122811936, 743209581, 989193272, 459851641, 1072585037, 887468846, 644130297, 434798555, 529595430, 402036958, 239578044, 397403904, 459099580, 381219346, 455867306, 305395620, 314663312, 372492071, 705182071, 176084970, 742593083, 369372310, 385092476, 784245735, 90453662, 545150549, 587401693, 1055161273, 436731699, 264231014, 597411511, 238482822, 1070974889, 347530751, 316408142, 245422535, 345160732, 28358118, 956937677, 463010339, 696009814, 467753630, 1069056661, 1009998761, 1044065474, 1006727979, 1018876804, 217916360, 498901059, 846568871, 514439708, 649212983, 191698701, 332676152, 57581945, 287494097, 1047217567, 389023103, 115774929, 165799899, 500077334, 750487585, 712030870, 56062205, 226402275, 282778573, 245513402, 90582762, 859071064, 817480597, 237134851, 396219492, 795828217, 788459872, 170149627, 307916536, 348804071, 696181437, 389030626, 384940847, 482359537, 947800793, 484825506, 200931955, 183370730, 118641908, 868822664, 168145684, 393403891, 74039895, 1041038760, 800001546, 772959761, 577290136, 580143572, 298972055, 643038559, 492624584, 384375808, 328987018, 333611350, 744273522, 405808875, 837513333, 866337037, 217546563, 293834001, 924783532, 717910058, 669799555, 101623486, 384292845, 293507892, 484877085, 155034521, 1014143568, 203104000, 786076940, 711513063, 315848247, 514527798, 750367504, 979257881, 42187484, 442529166, 626510851, 876297249, 999902490, 314209145, 442130613, 602614112, 641132960, 1041701719, 247665526, 1001640055, 490874065, 489175045, 851795276, 147009814, 910270137, 740205382, 402657155, 308355160, 1029284824, 553552110, 727367322, 723043485, 260671052, 597542353, 731107035, 908630362, 896840146, 520169241, 889306387, 748837840, 94664940, 172650965, 656987471, 74758820, 39927673, 799807117, 167601277, 946052205, 212462477, 35767517, 375122616, 848356531, 80925718, 994735791, 122563223, 740432717, 923753953, 1047385421, 445487238, 714867163, 733376989, 384592290, 230286191, 677566021, 904049355, 663610071, 744940522, 274702701, 562122594, 1069087123, 1014052926, 804423792, 1016660886, 560042243, 798229573, 783116077, 565761104, 743124481, 129382995, 116972168, 553830057, 2383527, 723073643, 252675710, 140161188, 761087180, 425458716, 654796490, 701651657, 682771709, 20131398, 524261085, 645627200, 723255544, 850658097, 968296376, 981563590, 371733007, 241946711, 143309270, 149728705, 476893440, 21716489, 935004590, 497971061, 267418669, 41684394, 588991486, 146736, 465031498, 92479448, 55865962, 234853702, 665106777, 987881051, 677197486, 930334380, 690143585, 89651317, 882519320, 372991182, 471493125, 703425159, 15186520, 276345549, 667830966, 22928700, 90339783, 119660185, 288244056, 599457337, 474751040, 791981419, 925825812, 85659544, 994421949, 50988103, 297610107, 161736979, 251439916, 700604506, 200740589, 372250943, 578585121, 487930184, 177476448, 965255760, 749263208, 972721003, 202397200, 673616332, 916442384, 1059313938, 377170655, 888724594, 1066472215, 852825296, 14891202, 835287739, 342025837, 150889565, 957844249, 21575573, 988529064, 19679391, 978989665, 206660447, 927966804, 1039022479, 82903383, 1073723921, 413363370, 635004441, 905012754, 300074932, 851056339, 13226969, 161580105, 684273989, 760435468, 953257896, 256778108, 794142967, 17594313, 239929789, 914671502, 654765158, 472816385, 32019845, 967744641, 46858755, 276812197, 649266303, 914089722, 915126936, 882949987, 902639571, 504806603, 393173059, 1012655990, 396462092, 12646638, 603741156, 573343756, 348441405, 562894389, 1041548768, 746998081, 595446056, 633042801, 210638733, 862054237, 860476294, 450877781, 1030174094, 180084903, 310075135, 413877806, 14913924, 642450580, 285198355, 811608823, 775588660, 655288890, 1064897048, 739238101, 341260192, 504245924, 770329822, 453122195, 914917975, 128601017, 402404899, 991909022, 420185016, 3534476, 272631986, 345229212, 30473193, 129383809, 654758202, 241368151, 364198249, 1069908446, 156732572, 742904643, 382005100, 182211068, 179580244, 324258984, 980180671, 910913373, 1020898193, 221778885, 549854002, 1050397752, 359887476, 632575936, 262800171, 307946093, 733149615, 13905122, 425055052, 971753548, 412614297, 382234674, 763116326, 1025156313, 581866611, 840109277, 498734979, 383018106, 714853410, 940749674, 284155732, 1011980063, 959318970, 639117519, 24425803, 349516640, 843576688, 522247218, 371231003, 294347276, 219520148, 393804603, 678730615, 221320402, 923014740, 91420608, 110649585, 358653766, 1055191047, 246859260, 977133568, 101086808, 131029216, 1012539106, 434997382, 187732718, 1069207357, 423199634, 192665257, 628136555, 1048027477, 433387676, 1031180547, 414586394, 149758390, 138222210, 621579239, 165782947, 556957881, 481788675, 907618753, 271153959, 646857643, 608966389, 87968140, 716710670, 1070595904, 781097695, 868169937, 160021008, 321178122, 149182295, 477409156, 228256503, 689058997, 226372800, 656308709, 802955696, 868986618, 88141700, 4850311, 32335708, 765983219, 8703768, 646475916, 495090158, 494561101, 899189951, 1068018678, 568590241, 577700425, 60430263, 572209740, 164364386, 973484600, 350708203, 414323624, 330364373, 595647891, 290004318, 559073001, 484630635, 194199443, 215956100, 335755613, 1070902125, 244996593, 134867960, 64947491, 16296739, 256538956, 779996088, 1004876625, 908109253, 74716054, 334998862, 108580137, 15380794, 769704661, 177267704, 766201862, 284865969, 883903664, 755209214, 133502579, 823250886, 886718798, 1021344903, 142103055, 984020849, 186923321, 33927631, 616627495, 962079094, 199118359, 251107283, 111639277, 488717330, 416397457, 217668120, 304693675, 858645251, 935411467, 148876978, 913534386, 972832999, 83953552, 540781720, 1032941380, 794133099, 275316071, 1010412277, 205580733, 627357998, 423838346, 957760237, 538516914, 328346062, 418598340, 267382655, 49641000, 147547860, 602254746, 737110888, 990960882, 619821904, 492340799, 930750440, 932019732, 438293107, 869294606, 602892221, 439779251, 280014432, 10436348, 547566600, 398197196, 713916719, 317528086, 882472060, 528733562, 129816452, 1022034034, 584938682, 447000133, 138879385, 215844555, 431492141, 366835749, 134348283, 926745574, 436176675, 171375019, 196928162, 505307417, 411434676, 61687949, 820599070, 782585955, 316282549, 267723643, 133187555, 819009343, 690802828, 762642321, 868526626, 470400621, 353598526, 957478071, 902341361, 167438543, 140343802, 558583766, 572534929, 920327045, 223127201, 20176466, 540314063, 154681766, 10433793, 398868561, 449362990, 353360295, 700320226, 544134995, 536301469, 704016525, 735086843, 414827198, 1064347032, 624632089, 142502801, 405203438, 557682088, 848954790, 594373819, 674275616, 813320454, 699749648, 727676494, 487548358, 776565909, 950684364, 1026264473, 231564947, 427854626, 532242574, 748300508, 356428934, 558371918, 832843754, 554993335, 340308667, 374345180, 236304367, 61618518, 553902679, 926884276, 351565075, 880757570, 586244503, 811157184, 416524198, 800309567, 238776695, 929971869, 610180326, 252934726, 293677600, 211250892, 420931408, 371040712, 562314098, 174530347, 1008527592, 856686797, 929642718, 1041967396, 500697223, 773115926, 607051876, 875389000, 707063876, 85199920, 521717224, 200275662, 571392814, 197043538, 743009924, 101120951, 750071970, 687943304, 946205446, 540168947, 499815950, 69627489, 437222119, 360287111, 504826792, 20136572, 343492714, 837941713, 488636972, 405390602, 305520856, 332895763, 798725541, 1061107519, 402926695, 868623552, 241670912, 1069447323, 587338097, 434399300, 171220493, 494460229, 529962389, 683277584, 59908756, 404106280, 273437229, 10764221, 111148795, 147210517, 541027375, 882287666, 912174723, 467480947, 318701200, 924219589, 849730169, 549307968, 579886067, 930376842, 234173295, 11901850, 453893863, 917144763, 864522912, 225591924, 579962236, 885376414, 6687938, 756161990, 532945844, 167335564, 435210981, 432890595, 648895630, 919153485, 732074930, 221709153, 998729887, 876045965, 849453155, 783498627, 783015112, 905567502, 851580765, 51179115, 892629161, 93431578, 663031811, 636673007, 261740026, 1017755761, 660050766, 296859907, 1004139496, 807859217, 888651941, 798430801, 138528515, 341656823, 221028257, 553124226, 314214356, 727379195, 388623195, 612207846, 874637410, 491495855, 661303425, 33290705, 218218781, 316612413, 333445934, 428551884, 50120547, 772115235, 189286482, 531294200, 116608450, 560731266, 406650872, 427865876, 482680846, 12578305, 363955410, 551009596, 1068572621, 62635771, 785622335, 430985294, 368414914, 212735135, 769083439, 761484974, 1059746514, 1019265020, 767294788, 252376358, 439135759, 969344712, 854879463, 506797946, 722724014, 1045200124, 295282335, 462386862, 755010560, 585167785, 387321470, 1041460957, 198859270, 1062382440, 980186993, 533624793, 100784864, 193617138, 300967292, 754194875, 1043448305, 569496556, 564920383, 389037134, 396144008, 801108607, 981292965, 835185480, 617160449, 789937566, 875889870, 228365370, 811151078, 503574309, 840240675, 437899496, 426040818, 567519330, 504839001, 233010383, 150799029, 683407665, 202046625, 994580732, 212537299, 201398884, 823466930, 1071087954, 726812974, 177260116, 849486495, 673751562, 214346209, 786217289, 799035672, 955007426, 947346693, 551128903, 600761450, 936794259, 91315169, 403109552, 946318324, 162479615, 425607808, 1029131055, 943339270, 394987533, 486339900, 228178428, 570222764, 776774401, 717573347, 384398594, 219945383, 606289575, 505710876, 537878075, 40697377, 979687818, 11354089, 168936506, 381450157, 1054915885, 842563879, 578444921, 37199651, 874307453, 533122808, 334254737, 920177715, 733306397, 1050339349, 208716456, 859629753, 677240195, 1062493866, 270933699, 670603950, 891182450, 983911539, 460165822, 62477956, 660465493, 384678188, 675733158, 1066202976, 225283710, 373023201, 704456059, 170837334, 599781850, 209954676, 565455998, 722650999, 761283181, 96808970, 507583271, 330074058, 284809950, 569033246, 405597991, 330105892, 915253336, 428068878, 1057613452, 827127064, 236843928, 580027674, 434168537, 777822113, 288005971, 16155543, 352241225, 483197622, 322916368, 82227734, 472534817, 435507193, 272577944, 1052994891, 676164594, 516895219, 647077902, 98258077, 635465928, 489455756, 142318974, 172049384, 136307330, 571576504, 263895969, 109495407, 140899741, 911760778, 787252942, 309908000, 736716646, 50697780, 265582380, 579455371, 528749600, 223157985, 153462194, 394302338, 26792985, 620309548, 903173105, 676496720, 290683006, 556286495, 336727023, 813194274, 818270313, 1056615050, 407728553, 313630715, 502621652, 838457258, 194356215, 838773520, 1064761169, 852968132, 58304576, 462018919, 777059193, 884319037, 537954911, 788837954, 450406381, 433987193, 619091587, 531928883, 895591788, 400322153, 679084664, 890240276, 467422155, 381293989, 510048043, 336200098, 625785681, 945739565, 773243481, 323228727, 344309794, 80524231, 585927153, 6489985, 844526913, 380271702, 41225779, 621933918, 39527625, 742407790, 364669856, 994176676, 573601274, 678685619, 829871242, 209098488, 1060409795, 878449856, 714855339, 540687231, 4308721, 703854187, 871518017, 663648871, 14222638, 203423771, 807898425, 874241702, 876435549, 814509016, 306928328, 315151052, 641362204, 224648030, 940723655, 343617625, 850491797, 316503954, 712773209, 637938804, 865354138, 745023319, 587925896, 997167614, 1044773065, 619422544, 37225012, 228371330, 577999576, 549213977, 278262456, 703963911, 690442349, 656786361, 6958800, 995772879, 457501855, 95085451, 487052544, 699076391, 852654453, 104065082, 294605166, 408592502, 184287135, 952557069, 971694800, 534051101, 516224397, 149402368, 195172989, 1007716131, 95557150, 1072042189, 331977650, 755043624, 281600536, 540133137, 886057863, 852704211, 129785267, 1011956126, 662429689, 404012473, 939765650, 654241186, 585143382, 726087177, 535565731, 567461354, 172208288, 395743502, 338646458, 623980136, 1048470922, 242585663, 805767460, 17097144, 7333419, 267850667, 398582156, 678374612, 623110215, 151797608, 872644098, 545598361, 148813981, 187339517, 944870852, 68119332, 148724641, 918856485, 856862897, 441456641, 245734046, 245128250, 839429113, 756922062, 1014849947, 829531592, 213901564, 836784376, 536790010, 408486454, 571633256, 765160056, 31819118, 898306677, 349144117, 817181226, 977351489, 796749303, 635461919, 1003942487, 634504180, 261099094, 296496923, 10399904, 991564055, 767719976, 762548238, 1045411075, 574970138, 937129965, 594266133, 626725676, 528316775, 915634449, 65433875, 129020818, 284296130, 594837473, 534520715, 870334012, 537085007, 298512479, 1034617717, 859497851, 748408741, 943219323, 282612460, 468703473, 502636727, 297891829, 1042031744, 432606154, 241901579, 652998192, 866001408, 397755785, 263795613, 604600965, 82795361, 779972763, 980131046, 186388875, 971987167, 390707714, 429763448, 228635974, 512904522, 742869325, 179217745, 652037981, 5046327, 225474837, 781632784, 89959278, 304178820, 1013274371, 1049976485, 511846242, 878892156, 278795456, 44609704, 2887956, 873335482, 716092768, 755269066, 549219151, 346255255, 316473422, 934122228, 735826939, 58423189, 1021358575, 545784765, 750577447, 1039454940, 632895628, 590403420, 641246906, 880696461, 483650097, 944177489, 1001147836, 400763030, 809070912, 543468061, 901434459, 332061649, 857685041, 419225483, 76415047, 492266521, 387980770, 208749317, 531794895, 346874400, 973916628, 775413391, 1071505268, 570104728, 350395290, 655519674, 591655646, 883778030, 699947645, 247262490, 41621731, 672864327, 539420991, 191949044, 903814919, 848600663, 485270459, 421713195, 121981515, 692034917, 817393754, 810340951, 80378458, 870000658, 737955423, 159527500, 359576690, 489996573, 395575769, 272694145, 164426733, 382912777, 382829288, 928103313, 143053989, 947444918, 572059651, 250097009, 27434402, 102454794, 750840101, 1013623701, 973405941, 541807660, 1027278760, 456279927, 922784255, 108160330, 100419815, 218970466, 247312427, 86334510, 578901618, 187346077, 382410309, 932761858, 691133424, 633371160, 1053806794, 435909468, 306998189, 597173092, 959628309, 370694856, 321448086, 836931200, 140695634, 27255135, 209671378, 187664827, 36706721, 931741041, 991693917, 489338487, 788124687, 459912632, 354468584, 747541380, 946731891, 1002832786, 787690494, 911779931, 29722065, 391276728, 728394008, 544563415, 312556704, 341863079, 162325081, 256566413, 588697225, 212766246, 55698814, 1043891647, 686330984, 476367149, 1052481592, 934326580, 704462365, 452924525, 787407656, 484571779, 1037851148, 1071742715, 446999432, 939159310, 679251629, 487546488, 1061605925, 404104901, 325122896, 46849151, 940952726, 920566477, 409077150, 935824046, 901980100, 197219510, 913229292, 108358765, 778297147, 724495114, 935695802, 899329380, 336593667, 87431418, 192039405, 436055388, 781232800, 257467150, 464842619, 91856229, 400575769, 851804430, 672538945, 733544177, 264980418, 714261269, 995901523, 829157686, 450552263, 412864741, 123895439, 319524377, 721933223, 755258630, 1053530434, 20962995, 493722048, 430549101, 922759635, 47768055, 873911144, 449863829, 905361792, 425400225, 544083837, 761903, 695211617, 368718488, 320393399, 204811900, 1037953865, 454472222, 485963546, 294275489, 888579965, 366378358, 213396766, 535869701, 710505452, 104127113, 568318911, 947871555, 428333582, 287565838, 703628925, 303915822, 827322077, 670111708, 563298966, 549925589, 101040393, 592403691, 914409016, 1047289445, 943079894, 562179867, 767973941, 192780627, 418613544, 512373618, 207818330, 612161525, 850710472, 960277835, 581520060, 455402829, 782929649, 673722445, 15366619, 144087543, 933697570, 60012969, 26838533, 341664922, 414200412, 446435583, 502022593, 545988553, 437029698, 994949358, 468002637, 654448166, 429062444, 150055308, 1062279619, 795079771, 538626681, 792646921, 810653287, 732448784, 957651148, 613743176, 975033116, 341061147, 875301686, 286721221, 452583222, 57911720, 476765734, 466123058, 911109093, 120651917, 950956767, 426126018, 111701440, 310137940, 607220445, 1017297650, 494546370, 1044246112, 832556830, 414650943, 132919338, 579138528, 280884123, 893954867, 17028428, 59622137, 230218638, 239043034, 374080686, 980017129, 4563233, 802696248, 759783587, 899549691, 814313714, 250948351, 659614853, 109183117, 969673959, 22827694, 92479424, 852940465, 131157721, 829253075, 833639688, 891924121, 904509428, 313893164, 747759802, 366767173, 500687749, 784835272, 482249307, 934019042, 157276080, 479815946, 1034017963, 875929100, 127440701, 380754671, 493810663, 815660997, 168330129, 538204631, 946244721, 971186988, 847402253, 631777164, 594672200, 879275411, 68664362, 105365294, 702323362, 932982845, 969005031, 666422844, 195529186, 207589927, 959231450, 371601952, 329679619, 1007852388, 137110913, 986369609, 148595448, 580042304, 729422693, 441703726, 591394442, 549539687, 867175254, 843542788, 313128946, 713465895, 433193169, 884112420, 440213924, 996514941, 230926916, 348226842, 429622183, 76715670, 805842674, 370214188, 583837201, 569880039, 569982052, 342095524, 492848765, 963612534, 162312038, 882068600, 341042618, 180788163, 611925305, 981437369, 666517883, 484402003, 44533126, 245546625, 290418270, 550590099, 791852021, 871982090, 429764413, 169475005, 23658501, 225653646, 691206521, 301827139, 1067919643, 792387652, 153629998, 769070818, 894187976, 600562192, 539495544, 803272542, 850671780, 710386749, 700279584, 202602923, 844793774, 406857994, 410205492, 8851356, 884923370, 694346465, 797070996, 501057875, 635392942, 447769440, 811638588, 13824574, 309223351, 650034235, 577315997, 191315699, 1057987268, 718172183, 227241956, 723235419, 339167619, 341040242, 592868019, 283321335, 913221699, 609792783, 930304388, 341101382, 588931383, 32773706, 841053356, 1027559126, 792431570, 601012787, 274668364, 164426970, 548676020, 414154130, 560342543, 1011089277, 1034706507, 730618215, 173162733, 265091420, 367078926, 385250075, 762064615, 150853302, 709075589, 12671855, 1036916230, 850447802, 827610112, 618411753, 397230507, 1072653967, 918810664, 599625586, 245630470, 1008624089, 536107920, 971119025, 633660043, 51131605, 989746268, 242898946, 883219084, 595226717, 61784947, 1001576117, 362846251, 441914443, 545514373, 383206022, 765639675, 473887399, 161335581, 843014820, 632558860, 679357781, 179439663, 292058972, 1021068936, 677493472, 478252662, 814355274, 798326926, 619232423, 430912647, 854434797, 117621537, 450119915, 1029610662, 322527710, 1071104221, 122274522, 593010762, 59513923, 233833122, 642300018, 586937579, 626173101, 918756106, 643932660, 390646209, 969431359, 202705456, 642820895, 263344724, 468438260, 968939694, 988365495, 276704255, 218912379, 994600036, 4671294, 522613270, 1032049620, 693928751, 975089566, 52996808, 998987668, 976404500, 568395657, 741277068, 759596623, 133343644, 681353800, 161942884, 374165822, 729401761, 939193655, 768763682, 575527793, 802499578, 721854190, 710478251, 272239031, 151028808, 143988085, 51115672, 791685018, 431244420, 87044372, 678605197, 372898158, 716523139, 944128389, 416503080, 25160492, 747546258, 1000149427, 274110448, 948241592, 821354004, 1040326030, 867686300, 309760993, 1033617202, 26309637, 278162525, 545925198, 377952058, 786560788, 450361752, 753887204, 795382468, 567939613, 706450531, 994430655, 373295155, 440795933, 866427908, 785949712, 868797155, 131106745, 23424072, 56400620, 620910674, 946143746, 863977715, 297092575, 298081232, 686332113, 640699178, 600472232, 1013845390, 409237062, 967858009, 874667579, 755571169, 380198665, 319706531, 779521839, 871776611, 657139038, 451052856, 201083310, 1048641356, 146015303, 687516025, 500405073, 261695849, 56280649, 1013736838, 1069148567, 261357034, 665549793, 425938032, 967734190, 928049873, 1018519809, 483428753, 96651309, 556998718, 156099475, 594912181, 162004548, 432779581, 711488096, 898443478, 103138204, 54285331, 504647630, 711184934, 388458240, 168039539, 643735225, 660713619, 525795701, 313775332, 249700440, 426276507, 1003731575, 846328369, 376413528, 1011159271, 137189927, 779160051, 125888995, 129249315, 120976416, 861060075, 619769226, 793511625, 59597715, 894647336, 503652011, 402650282, 640612120, 928850663, 12578911, 429322984, 931299723, 737737308, 256662035, 772956704, 555131711, 367206143, 965843840, 652418319, 398549360, 314011001, 982277714, 82378732, 454778387, 28197703, 597865891, 706899717, 779591460, 564719438, 414822471, 412109216, 317041980, 749016581, 145292932, 314514565, 198073692, 276682216, 788271800, 140168040, 633693401, 256010610, 228530356, 988173383, 594957898, 841040500, 876363276, 948580115, 645484822, 1023617652, 940089880, 895728162, 521653262, 858296213, 163315590, 464843572, 962436542, 622011421, 399934979, 228355312, 673638551, 730965985, 298422099, 441712360, 493757125, 3313440, 920295448, 613697168, 573389169, 927349970, 186257295, 91429226, 845501315, 356586480, 803078650, 548385046, 129727453, 202940742, 676070509, 71647328, 13384946, 660274678, 162925453, 574962400, 17157891, 456884067, 23216374, 369743835, 690717543, 94639130, 578356319, 617210212, 811144749, 167882818, 551691946, 8363226, 191840495, 517802559, 507655345, 771680398, 505255801, 474779439, 784490897, 1032784903, 304875547, 97840714, 74278009, 86232834, 470028908, 316065013, 945871551, 116209686, 520423587, 31626141, 266741027, 625578867, 45291678, 266263599, 887034639, 782932169, 538361454, 209660862, 1041839540, 699442334, 489711126, 171392492, 796404989, 706697825, 418928422, 1050717101, 1051130980, 890577237, 755833928, 466724907, 33020944, 273733917, 542243156, 193421747, 520794799, 505764841, 891402438, 575755945, 721247646, 852727771, 642692503, 570861799, 777411122, 1023759126, 969582535, 458802861, 622834008, 778047938, 689835576, 993265714, 229136601, 274968365, 523514657, 911636576, 211133037, 207528276, 510717050, 71004226, 411888394, 839195093, 403335729, 713863667, 630693, 791655976, 584016587, 79040474, 321775259, 1003359936, 241512886, 509528610, 912532693, 1043125524, 579543695, 677940584, 312657819, 449532834, 713074891, 675562289, 978681860, 136860953, 560482385, 936699343, 552137251, 109513538, 296223280, 714802198, 153328487, 273903385, 285671782, 471889488, 1027496237, 145805854, 1037940821, 782306786, 798805459, 983340405, 508136201, 163929425, 10868915, 60138980, 850782151, 172505876, 629010224, 636370077, 303185921, 309115393, 583229677, 471970835, 517837017, 729059686, 49564072, 523274953, 855351505, 37891324, 301346921, 47887545, 917305154, 499932396, 635397421, 640320683, 679617537, 583502526, 400397459, 402118615, 513640683, 20083287, 192018650, 435665920, 912629183, 42093938, 333142722, 984982327, 305705336, 985283083, 522662271, 603058918, 432587620, 429049001, 853806285, 67068254, 644853228, 1013855250, 560553298, 457229100, 840751078, 879058794, 1031761788, 651636066, 892507720, 379113127, 170501321, 656217236, 188614422, 590434480, 431858542, 305680735, 651873924, 263031826, 977352927, 923682663, 71024602, 482684793, 499217377, 304685739, 100113067, 945965536, 305942388, 250465276, 631633358, 826351519, 579462461, 1068989066, 477819476, 253013449, 441444527, 529487946, 717285525, 498915544, 683946760, 279604567, 130823886, 515582723, 93665250, 252922077, 431623414, 684147149, 317730904, 501832325, 12023079, 1031586340, 1010089781, 91537063, 891695120, 847225085, 574818873, 378050907, 381588376, 862533310, 383022601, 352281071, 521115922, 141211734, 732837623, 30262832, 46364043, 1066293939, 832146950, 863804015, 741911300, 806772322, 664665098, 790039244, 860393446, 37733165, 212505773, 1072374156, 925854208, 779971978, 721440126, 1052577670, 897739676, 418339284, 972435457, 13695525, 707430384, 15200785, 830137053, 118471989, 386120584, 485715587, 482323797, 175493769, 112223766, 813618058, 203118644, 58250932, 878237427, 973632316, 762670058, 653594689, 76396221, 2600139, 519803303, 419368491, 11597895, 860136287, 819434310, 943290421, 407775588, 95599123, 85745289, 854778286, 71162730, 150307315, 392564867, 33047491, 48621346, 631848306, 575031969, 55255877, 182738686, 89404649, 462633967, 405882994, 342235732, 229024511, 358095407, 534023967, 824428082, 695722909, 924862998, 400480785, 779504354, 113844878, 115929367, 755623454, 481108565, 85015329, 256309822, 1009129543, 473344947, 293001345, 638119004, 762733171, 791406643, 759337047, 164109575, 632714472, 1067273099, 368497504, 441987419, 618795450, 157013142, 619412745, 167588348, 964988100, 50868982, 728704473, 141295766, 487236461, 113110486, 148938232, 253473172, 334854223, 541249304, 114257789, 905550109, 147844111, 193925324, 639952379, 472045992, 917032415, 59141476, 851480426, 1064719646, 72810626, 253588703, 356626828, 53323248, 519351128, 584362775, 402937417, 822507350, 212249269, 399037537, 390028237, 774891117, 140204697, 355742210, 1048037539, 24378091, 341726887, 1038749084, 483794979, 560316453, 870123015, 78003697, 538341269, 205119591, 649670026, 926492334, 459570479, 261329213, 851167532, 981450346, 666688547, 1046925497, 966186894, 596259615, 884587911, 369911649, 378685194, 205566690, 393060679, 631802502, 844089632, 901152425, 958214527, 823737482, 100171273, 282274465, 721319696, 131514185, 839862963, 9867541, 330676416, 1027503418, 312010816, 144756217, 902234203, 738066640, 992041201, 736081947, 682491173, 318668999, 445055006, 146876189, 395703406, 235839590, 715624348, 724564659, 845341653, 872024483, 562712205, 422356356, 580467739, 982051649, 465959938, 467664020, 321096815, 911109142, 403292731, 255769949, 147210377, 447839333, 1072854626, 663894788, 396963629, 1040950013, 451061957, 835814171, 562389070, 458735200, 386957577, 336516220, 990755065, 636756945, 1035306235, 732891966, 871040960, 184126021, 655125525, 349410057, 527976048, 1025279428, 480124369, 610319476, 839946196, 618610788, 80827310, 880770155, 664745242, 1030647114, 1005367599, 551822565, 550801323, 401630645, 18622397, 429724632, 120133892, 186083724, 43357964, 661263474, 207532659, 783037369, 417975238, 88089936, 938409643, 27169417, 677966919, 843348271, 342574847, 361325549, 777761366, 478289634, 15622923, 729983607, 304286762, 1040111419, 677847119, 858980650, 129629994, 731726271, 189926430, 54085983, 145891121, 596854825, 671714308, 223468268, 251811619, 848197113, 939477824, 282998639, 1010166962, 925342667, 60637095, 328679538, 633537705, 271084585, 271316434, 830417153, 56083265, 783813840, 312992706, 789419274, 138523134, 17905159, 864490489, 474751086, 862376564, 871106521, 207650260, 964355688, 758957101, 755408160, 501691220, 929207523, 773783731, 756138427, 238849596, 861014429, 895741948, 903823463, 71771650, 132496510, 720298211, 697926731, 505768645, 835513769, 148781128, 453707322, 388478315, 543428421, 179026295, 1023404562, 806952085, 225417715, 72567943, 920042562, 1047715393, 291825483, 318673661, 411718483, 894783090, 308848447, 531315390, 654516045, 520463711, 171754813, 695854302, 256882434, 376094104, 644607082, 547404018, 506350353, 982751398, 1001842046, 770446849, 878996444, 916168282, 1002786686, 91885474, 927507237, 300717614, 527997529, 984541058, 533082688, 423162053, 100856502, 149241134, 586674079, 859931893, 558808951, 105381902, 234829067, 574247061, 619598410, 432827963, 91215651, 293800773, 738888513, 348109730, 385793593, 350568150, 143490285, 393140658, 854134521, 943205879, 488797816, 654814966, 189271469, 909666882, 671465911, 356960806, 731049662, 158520169, 950236204, 115727545, 801810259, 569162576, 42373541, 942794554, 59232315, 260510513, 19518441, 355737098, 80471472, 282086925, 883488772, 576044979, 1040612456, 1070380534, 512150845, 583433553, 195887541, 1070322445, 1065508000, 866537880, 684063579, 765641712, 682743728, 590927684, 869527640, 718490805, 729071584, 595563738, 1022510703, 1052342522, 259673785, 190193581, 306073238, 1017463416, 95323497, 741733824, 738011969, 457161914, 369867885, 616791104, 255046983, 994358053, 479490779, 930514437, 487563544, 211808234, 977881633, 413794183, 888351631, 635913259, 588689708, 57968903, 200012248, 953316836, 44394599, 51303032, 661389942, 420187935, 51920348, 793677126, 912684187, 249010208, 361847080, 139727919, 479254141, 383172118, 1031141473, 489466908, 807108128, 119008897, 140255800, 281325516, 588534491, 89527765, 215355426, 1036824451, 590098159, 226660196, 136773170, 819504173, 859033539, 589680448, 549544885, 743150336, 607982914, 825089214, 1055364119, 572395602, 504587822, 690110530, 299042780, 92210322, 508548829, 553740306, 800913029, 522137814, 913690554, 380836745, 548224790, 221555002, 261377790, 714955501, 386643516, 929900783, 652518667, 884758616, 598964822, 852534960, 8780457, 310339698, 995626185, 356032573, 93665080, 264769909, 573121454, 233632272, 467437055, 828627942, 360215891, 1050800872, 462417864, 986481336, 931444236, 324827871, 18220275, 814440555, 940540832, 89044248, 180647348, 638884069, 34833901, 766904212, 217824663, 903260505, 856048479, 179349657, 51658117, 462115930, 44813812, 331594970, 101710134, 493235302, 474225767, 185299884, 620157477, 468501738, 893806654, 301711602, 12383558, 435903869, 448281264, 705422495, 267957514, 525085793, 892233534, 905458300, 358122550, 911579617, 305377021, 839364785, 377769385, 150818362, 447101392, 546812686, 444240684, 692905027, 235947913, 516871031, 458318354, 34716876, 909321386, 435134782, 727746869, 783478401, 429171999, 1067977426, 439122106, 878854193, 185652932, 654468316, 904273159, 219068703, 885620946, 440462326, 608775410, 189118440, 380117377, 771974242, 737808689, 479532299, 458979092, 794997965, 855111846, 534862640, 975384227, 823558782, 311487225, 740427043, 604524529, 866077752, 500687258, 464386767, 868635325, 76030977, 369004405, 1007587310, 98241403, 796430293, 1019581602, 195389520, 946204186, 16345525, 126627351, 395123312, 42834544, 592088658, 687856172, 696919775, 361677063, 507822652, 718922326, 496315300, 849592307, 674872323, 297583271, 365513344, 760467875, 315494775, 792043501, 871172797, 702949272, 386921259, 923035840, 386589242, 546158509, 71907203, 985487624, 946126591, 602449543, 248961387, 935599791, 527207026, 833613395, 105804296, 1073450275, 561919740, 162204355, 980280468, 904898346, 523372344, 301629353, 915447246, 513190344, 654776029, 7603486, 303407867, 893448030, 923024926, 357488544, 183193063, 2991835, 593741461, 118309384, 574360291, 187649551, 46235907, 407495351, 290375455, 119183301, 687752533, 239619242, 262493397, 577745025, 55623623, 863723316, 252189335, 60439901, 113802181, 404128047, 1019817969, 939961055, 312843906, 854748878, 541546908, 783550014, 1064040164, 944475006, 386738587, 100257068, 957780223, 982951463, 826842511, 175098482, 847347179, 666196518, 973463794, 413081713, 800417280, 181558549, 88989101, 244936010, 559098856, 330798601, 914750221, 272962706, 447817577, 789371523, 1068367461, 1032488964, 723568925, 340434397, 1048978727, 211203627, 11290588, 293244793, 927447219, 453895654, 840288030, 320950654, 826294647, 536879900, 129635782, 600358390, 340966992, 870904270, 604960822, 572296274, 708566527, 1010589577, 197183541, 662045911, 331701292, 1041693938, 990108566, 899894992, 603029498, 799388875, 895021214, 434799475, 375423523, 1014115813, 371807591, 48102478, 302416883, 817830862, 292914339, 664680787, 347752966, 163368715, 279425602, 443031108, 617219652, 873118513, 783893405, 470953460, 901650222, 222128118, 837814608, 774512183, 681259399, 1066356934, 192995370, 435547439, 787261311, 297487949, 561011317, 628563403, 919451493, 650099420, 577272711, 43769155, 1002753345, 166590244, 429974315, 70448783, 586423168, 451018543, 706109911, 768494674, 289021823, 444020507, 437756947, 32382137, 171606737, 684303541, 483122420, 849199012, 114429674, 1015043618, 558893569, 312298339, 331412880, 1021213241, 885051575, 1048184545, 362464205, 231809209, 69259615, 420049479, 367303122, 1019866931, 734614166, 216557269, 109925268, 566781032, 238904111, 256291227, 173668387, 630062042, 31888132, 538193014, 610366253, 208033658, 574702626, 745339335, 31813957, 187772243, 527778601, 514328841, 543319643, 677386804, 994187562, 158045485, 34668219, 162840318, 314145088, 584483639, 102896030, 911068759, 239441898, 841978113, 95009870, 397023495, 62288320, 553174137, 340364446, 861595611, 378166947, 317502041, 488117404, 60872798, 259955235, 442782779, 887975078, 498896272, 802488407, 108800223, 150087762, 818849683, 897930850, 855321190, 386998316, 670460848, 148460227, 258100419, 363561898, 189823672, 850504795, 405308928, 449836326, 38195573, 206367924, 361851172, 297180392, 728005287, 88479445, 389363785, 179569329, 1019289196, 243677663, 859563744, 112975263, 478476843, 628961211, 442148284, 389629978, 257927611, 539305802, 973389659, 490951752, 115570428, 200299538, 276042295, 313933273, 989292485, 189466882, 299706566, 978296798, 153155100, 461919941, 105538988, 133603159, 102719520, 1027856438, 45115027, 420067628, 180599563, 933248773, 624352104, 990122248, 994111309, 1057603231, 591317538, 371775708, 648680182, 615856073, 934837223, 1021999538, 17311402, 249217779, 184100963, 73369332, 75072744, 89601664, 894353242, 789396358, 251818713, 215083184, 96802570, 185857408, 590016024, 499233882, 499925930, 356359402, 983308579, 164622418, 732634766, 10320212, 593011900, 442097346, 184228665, 127317146, 554721422, 342485500, 969758452, 907252676, 101954488, 481109237, 464969284, 1028543473, 200592216, 425199854, 766151874, 30989621, 875754485, 992345326, 848464838, 432120325, 933542214, 121299642, 433418305, 1018014108, 587791480, 371713031, 664564624, 768630392, 479703034, 937691265, 661978242, 773315156, 195028517, 176821337, 1010293424, 461923808, 484270168, 463234307, 522945421, 85409903, 1054691082, 713697692, 528060891, 639645926, 363777264, 182212629, 40613728, 991185795, 189150041, 674971909, 714332558, 879471158, 59539678, 525076902, 1023412417, 803718842, 605647855, 861186316, 962282146, 705008920, 413748138, 366898179, 665496128, 348391113, 70406738, 747119536, 948158101, 101838800, 594515215, 233244722, 515805507, 506906932, 582344980, 755267300, 883129237, 707532807, 583274732, 435296649, 196692057, 479756235, 558758924, 281192396, 735202295, 642187387, 886842529, 711375723, 845454353, 39505032, 1004226560, 468265222, 663160591, 767414834, 249700423, 56842775, 628764141, 250947608, 31641907, 801500539, 355990068, 767543606, 429733584, 206137767, 1048193726, 514153012, 975243834, 645980812, 1063887612, 178264173, 365431926, 76143797, 4796672, 550676301, 342681612, 988680013, 603960633, 143560740, 909604215, 723886583, 620620173, 263245409, 192014078, 578233834, 415571097, 225250078, 1040330431, 1031233537, 805298889, 621824376, 288630830, 744506955, 128405049, 637442709, 518245339, 209711501, 777050919, 478002014, 877301096, 369305020, 322990762, 245103086, 757002192, 51294795, 447861568, 766940197, 127871365, 774638221, 131504084, 638156722, 486273819, 361829631, 75702483, 314753046, 615858316, 222544334, 387968877, 42799875, 121826122, 182529829, 1065438172, 832163347, 406535808, 371190430, 105031893, 135637064, 485411247, 424323913, 844603926, 894738542, 185600729, 221153171, 150035341, 765749765, 385097048, 546973003, 928194532, 361211794, 902380109, 730009561, 24648012, 24657585, 1065091363, 844961258, 981674816, 938976614, 176547805, 494738598, 196589341, 1030984432, 298068239, 764455878, 810937848, 149133647, 98491919, 527047676, 764771565, 793853922, 776430833, 743044653, 731715662, 145437906, 490994609, 1059986064, 601887775, 478429298, 376161537, 668117888, 615949923, 110307415, 636659308, 713417293, 863047730, 834510842, 678278258, 905855398, 1001027896, 209475292, 379819553, 910667530, 607956237, 734847765, 274286767, 480563130, 174757655, 108837651, 700686753, 652414990, 574331445, 429860008, 816320515, 573738764, 388285994, 95577357, 785157267, 609932400, 789475464, 278287239, 486432862, 660553064, 680473888, 299785752, 392091627, 253559299, 933658033, 43750227, 30120353, 290745693, 607620933, 53704184, 519621190, 274964014, 785445190, 955341092, 568638678, 20769163, 230587579, 667080708, 390860789, 564176738, 24056136, 178664539, 54017644, 339979937, 71782095, 992984934, 393970405, 1003066997, 606485575, 589432754, 725278785, 516356763, 199495992, 447162249, 1006841449, 79563974, 942680531, 597489436, 899668167, 877232526, 147881959, 1046537662, 362511699, 924284052, 198351587, 201842388, 442877645, 386674384, 879040024, 206703439, 1003832991, 573082972, 443019904, 120459858, 1026688422, 654915982, 528557050, 17239319, 237543779, 284337000, 874648788, 985960254, 286992590, 403945028, 42640269, 216314591, 945154045, 143187423, 287294667, 459776814, 411134667, 522280476, 235545622, 1010113580, 762935811, 1015320174, 783398313, 68612674, 686095067, 536341204, 706614355, 196501569, 532209944, 96570275, 328499446, 114317500, 211502172, 60802757, 199110673, 218514079, 632677579, 21697079, 500662689, 345145424, 356313449, 238531161, 814805284, 183577475, 548971560, 655091018, 761927415, 371445463, 143082652, 456442274, 83899541, 950875640, 480617556, 560874220, 668198731, 305724734, 662608672, 560461776, 1001786396, 931565806, 1028123488, 725900631, 949266692, 117438689, 268897506, 55813702, 746417657, 517671866, 152741763, 182027413, 104126286, 513298468, 438850809, 105398826, 818377417, 31697705, 346712847, 256552567, 576639507, 845174726, 441470229, 984709089, 838474223, 143213500, 567526408, 787337595, 584779739, 585730438, 54917512, 272127909, 817220130, 698651512, 502955790, 1052621871, 210526182, 984050642, 456875459, 52864653, 729062278, 424925508, 833096063, 785936681, 333925624, 757656471, 101784837, 98909519, 346601507, 70702396, 144732193, 855448599, 245510752, 652929586, 955257584, 3422419, 342823248, 953703089, 984368912, 488416847, 76832018, 949512346, 728422429, 328123444, 600548242, 60223375, 954931734, 930171262, 837098959, 988370304, 507386613, 933823989, 995647680, 304681113, 908608499, 431474776, 457511416, 1002340975, 962245002, 828374303, 456397275, 541233924, 55645522, 712940803, 866944282, 802173223, 591643294, 381039601, 995713469, 73385340, 263560640, 364060590, 1011744185, 167907347, 707514255, 697279120, 108168215, 970251170, 845802792, 143484365, 116552827, 1017689281, 93539855, 139078925, 459007298, 271712439, 30589053, 724379448, 246604748, 920186672, 907190163, 226989612, 960815371, 177934918, 471499788, 57700900, 909007005, 565210274, 926068112, 196387276, 900039730, 282849166, 318992191, 755467789, 431223363, 744503612, 368947382, 817836383, 914770763, 297625008, 1037375248, 499669697, 262362539, 51421111, 888623647, 533664863, 13253760, 272591471, 1001644993, 289154662, 595354793, 43165934, 933420974, 499223197, 626612358, 921757166, 801025692, 339259681, 70369620, 1010843936, 593783065, 674350817, 209542013, 133372291, 1045621439, 1021443117, 94271857, 220636083, 700825786, 470604469, 115798544, 408117210, 426236323, 301932027, 970314948, 424652405, 491108138, 140891779, 170220636, 790462607, 303791339, 800225385, 955228840, 993739922, 961155725, 684490229, 262986994, 499856662, 430786794, 535085268, 122897338, 1069679460, 985309920, 612012191, 48938640, 677049788, 406025448, 407883836, 757207239, 350844454, 909999792, 307669235, 1062260477, 107351184, 747971089, 314405380, 585895795, 336025946, 174860134, 512431283, 505481552, 401910166, 810657360, 1046738335, 6757949, 444771971, 625518445, 486141311, 79582518, 198965141, 402767815, 531718538, 404786930, 131797285, 24138087, 718575036, 863854938, 279308340, 273854298, 488014496, 628963265, 262807847, 666897819, 125095063, 719290193, 97082567, 148076710, 923073431, 69176866, 973410835, 778757606, 333932605, 902710207, 823428478, 629203479, 887196820, 938196373, 8710847, 1018037423, 1017790855, 790444537, 610867953, 461672231, 199289266, 935580467, 158989176, 520332227, 300544490, 740923820, 679169594, 607530732, 1040635110, 578971758, 6326633, 84217255, 627488400, 748139330, 1070906224, 33048638, 825365584, 777303553, 95953502, 457133821, 421910985, 57832465, 995146661, 559328607, 871023873, 533805490, 387802450, 475524954, 16506203, 542966992, 640425438, 328186444, 500746454, 966714142, 691283736, 598421081, 571947081, 281378329, 1009537078, 896369547, 291567996, 563244658, 162360349, 1051856531, 628882718, 1032299430, 182096976, 174840345, 829955853, 519623050, 120070663, 569292913, 54079430, 651932872, 1021517040, 521700871, 974068731, 285926235, 293648025, 610308432, 262212314, 289070991, 742329308, 978148302, 20192753, 292931167, 42141075, 882665445, 936881605, 633063435, 983959944, 174826625, 460583531, 286660546, 694018283, 564264788, 116028926, 226864567, 599812182, 550699970, 915380601, 913614495, 102484099, 322459439, 1029246050, 139707620, 649958777, 624347829, 907554949, 229566176, 357295220, 70997991, 260573432, 520545220, 48225780, 869866994, 902994047, 10761201, 809545210, 170003680, 119886732, 641508863, 838369268, 517949558, 702327297, 616149787, 818154831, 511688085, 541780933, 968506956, 884010824, 558690119, 850297618, 1032426318, 919605334, 979891912, 295741650, 89265744, 141709146, 242359093, 681756733, 464918519, 886713198, 974150376, 700399715, 572252456, 164538711, 447066927, 39200024, 910807383, 901748140, 886730987, 393460647, 1010682522, 871080062, 766582406, 973129574, 129183940, 250742892, 175546673, 585853410, 344441302, 401671727, 785106465, 580823930, 166623192, 270112483, 135517466, 230760684, 53366954, 444895589, 649185877, 777685862, 687136549, 572343137, 432168143, 770399012, 832734037, 292675591, 979982618, 226317474, 164223324, 85387307, 374863885, 1034042330, 530581945, 719233216, 760190706, 567222556, 199347806, 792264765, 8991928, 872519629, 633542123, 999491128, 413829072, 238907306, 461683142, 896262307, 179699298, 315865756, 83896066, 395725151, 603159417, 663018371, 286300908, 316369219, 576599325, 926492967, 280135049, 527984818, 7689115, 875846818, 310305448, 65807575, 864024058, 102725988, 317222807, 690535524, 691839900, 462357281, 404973911, 858229049, 12621458, 469181148, 786698425, 835129262, 109655593, 96423949, 735324749, 1038703893, 443729469, 943701351, 386213478, 222602570, 1034716494, 1000913015, 389989645, 730483340, 158337091, 631586075, 638951585, 964700680, 58404726, 1037417382, 830643692, 20329764, 866875792, 690734369, 177637389, 211309514, 639371749, 777430035, 760246675, 711185918, 136344836, 876324978, 741159034, 1013473543, 881234959, 425175065, 372233442, 328676803, 240547032, 398508162, 971721201, 895333702, 689407841, 542169359, 34555706, 985206572, 598510154, 897285801, 804151096, 506307241, 132241086, 893942446, 863877450, 933354400, 1035689004, 119379463, 545345142, 222205973, 95059483, 918016419, 37130032, 719965571, 865396141, 923890968, 913569315, 215990585, 407718346, 952226521, 327146594, 613781006, 21998841, 223396070, 638177405, 487293838, 985543706, 417146232, 723364172, 488389218, 97331887, 743277852, 665661271, 479183183, 328188959, 447957966, 680841370, 174274377, 405301375, 559308033, 214179905, 9157349, 356513615, 615044050, 82363966, 986559045, 264532601, 435185750, 984036177, 1025332288, 641216123, 678320241, 476478300, 400545589, 557655085, 762210534, 664217981, 136106828, 31913396, 510083915, 531402731, 704976217, 865803600, 842538420, 529283114, 1059759356, 963484046, 290494049, 973007604, 223973758, 525157669, 880497851, 594049252, 862488444, 849542554, 453548292, 439441755, 82282265, 376616900, 17475783, 394392827, 614569710, 976827536, 740998715, 656457406, 593558190, 867561686, 29052153, 973852421, 543472497, 290476703, 175207966, 259515842, 479284610, 276969242, 826214689, 52040745, 518887291, 955128130, 930311616, 166879989, 858255233, 560966321, 280513475, 328060114, 985685163, 907149992, 674000031, 521377148, 461331518, 566649983, 850857506, 175755745, 912228894, 1057601215, 889561894, 379800892, 489743298, 540258675, 794211543, 703403395, 626514194, 327088089, 995982014, 798573381, 826656364, 595559285, 479283855, 599651544, 854875263, 578546759, 402065765, 630299534, 746710549, 596495178, 511394700, 962819287, 456011833, 196105710, 67542539, 984808755, 813814028, 695567910, 1023833666, 30042891, 566028084, 439893163, 910774186, 858680566, 1040772957, 275360179, 1018075068, 449241241, 484055295, 765825300, 780884172, 67750171, 372496215, 369880448, 258782899, 561623580, 265649888, 954062606, 988071956, 934187093, 586381409, 514958523, 1064102034, 117968188, 987698048, 487210592, 243535458, 938539661, 615410803, 623566824, 537838716, 960964295, 409358977, 900020518, 880666987, 568047579, 620038188, 640015988, 548845065, 11782784, 391450077, 373643412, 407160030, 1042499111, 939718204, 220790210, 146200743, 733278058, 888691441, 575368088, 133328138, 771015557, 126620604, 808111961, 715284679, 836566773, 879780767, 1066951548, 532640483, 681605333, 323702176, 448057721, 203685041, 724490976, 439449191, 209123278, 1017945547, 34513806, 671259500, 567517311, 201910317, 791116898, 1057675374, 759041552, 446716277, 304068702, 536121196, 441841464, 445867913, 463847355, 1052405573, 208880268, 689125746, 328359777, 471713219, 423923151, 773383007, 594994943, 981597041, 54740188, 311273921, 728334777, 655906600, 369895361, 666085027, 408186420, 1006059124, 210654747, 974081683, 80360319, 911282484, 486551321, 809007857, 9488894, 28910412, 373059534, 115403881, 410918044, 5483754, 441177803, 586435858, 287135091, 835952278, 778749244, 507566451, 904236510, 396527903, 1022174110, 452454755, 216142894, 73437545, 727514110, 1020325992, 26794385, 162473580, 579112625, 565224204, 702367737, 666975960, 817322847, 611502625, 244851462, 447724218, 106882788, 464939029, 666913348, 497704381, 289865806, 33070122, 812421746, 571921754, 460637886, 498985294, 884866848, 324182213, 691355358, 129276407, 954797157, 661677047, 193718407, 180395052, 773437536, 836471981, 347556860, 868796036, 838592783, 574523226, 609433769, 915058649, 989113673, 661965905, 544215515, 353850774, 305132044, 789623185, 550864340, 255869833, 521326489, 1015608153, 677403155, 235341203, 82464636, 189802379, 89640019, 561057654, 204362434, 293524620, 586193465, 934695685, 437819265, 486912488, 299837341, 318267590, 142347752, 614592991, 683593133, 81513815, 497204164, 1001626273, 276770965, 612520153, 302427865, 290826524, 406922633, 651734808, 632338269, 641496326, 958455438, 188430015, 1059130910, 875721053, 412506775, 583520698, 224258096, 857386613, 313589770, 905129216, 797677497, 346649177, 906848658, 1004949778, 842275406, 692090043, 526330874, 288023700, 109703413, 339151766, 412208693, 734050582, 281369043, 739325181, 561221114, 288837359, 478882665, 901794655, 988473891, 316662411, 900170915, 8509908, 657456125, 826352371, 250482525, 592920638, 946422690, 167078710, 125038250, 363432191, 469595257, 411405252, 692991509, 632782375, 965500303, 487660945, 94106895, 33947160, 543562763, 876718287, 943657237, 898692432, 950782428, 8535607, 1053664850, 584739835, 91937704, 611821273, 337593707, 1000451190, 126507789, 878366689, 34104517, 77956210, 475901676, 219594950, 753373111, 558347855, 763834553, 222211471, 224642279, 675698044, 766992179, 467145082, 312021220, 36961537, 437024995, 637736423, 98444598, 866350109, 811987926, 1016039205, 446687242, 83536728, 144877143, 1030506922, 153687629, 2740413, 340078711, 668004050, 265667054, 301880666, 891684779, 1003636443, 540829737, 932239357, 136458812, 183462634, 18511613, 748403316, 661083020, 805141307, 7121072, 430381878, 153216451, 945436575, 631190419, 314315872, 463616928, 290166066, 1007389276, 71855137, 506551783, 520727731, 448790813, 856205202, 304828147, 813311012, 694805117, 132458614, 317315700, 611231509, 1069216280, 180928979, 1027487239, 576128393, 410724204, 914000994, 719926817, 87638696, 115064216, 948282827, 765559573, 117907445, 366266909, 364011596, 581587058, 878413684, 88526935, 603003287, 1035099533, 427541748, 403706357, 545138300, 989495622, 312796708, 227773113, 705297484, 410918823, 864141699, 1017184215, 295198276, 822234375, 406409781, 260301155, 117692443, 83915421, 382979345, 791188920, 484442449, 561057436, 1060537542, 388804954, 51717262, 389601386, 489073875, 496821490, 990736571, 193022571, 955258548, 654087206, 577316288, 735188729, 647645862, 1029481720, 421361192, 138957081, 576355867, 670977144, 1056952151, 990115487, 449518551, 211322908, 564816227, 702906644, 28412773, 494187725, 493551710, 975626749, 373193389, 940423875, 377842352, 484212684, 661717431, 29434367, 976841842, 524794516, 162791195, 94748882, 369648817, 229698755, 844540351, 762474576, 217491471, 534183844, 604540994, 1034491244, 2073382, 405284075, 614939938, 307363618, 1024870006, 355023060, 722691656, 78488679, 987822419, 784585631, 424238760, 726591387, 69992252, 889126475, 63305723, 414315565, 94396778, 634828133, 455876540, 543661790, 379478056, 134166211, 577147287, 661605740, 276991820, 1011723554, 118383693, 977867346, 247074885, 1064308583, 700039898, 419135381, 303993111, 101133641, 356646010, 413524737, 584854681, 1010237423, 35133639, 814985497, 24098991, 3721592, 85651258, 1009270827, 381774613, 561604580, 394251617, 860471884, 915353529, 382336732, 465225247, 1039459661, 338073848, 1035161415, 227877455, 453037263, 751248174, 532566060, 874389003, 73944513, 626060101, 289291590, 974645621, 404206840, 535924521, 583574782, 12615596, 257080679, 196722720, 416764855, 990972499, 338282202, 196219649, 789776418, 603447159, 565248611, 868339719, 130854341, 222823376, 576791407, 43581519, 798588837, 822219697, 193704586, 396104722, 80075203, 315445817, 680263986, 448613172, 1014931352, 911826452, 747629037, 261059316, 778773062, 555797718, 206424523, 337240295, 535782484, 460210428, 601200225, 442165893, 1057171348, 196929683, 546796447, 415350485, 564168146, 455374183, 369490950, 38722842, 221596214, 7707848, 454599266, 25342912, 753583583, 291565119, 152487281, 601148285, 611138688, 481917457, 156854051, 362786568, 264364887, 814545754, 1035694953, 806082887, 430988392, 664906424, 965741162, 979300525, 833707914, 199580871, 302343500, 877137034, 215214790, 298517297, 282369314, 316734832, 105634679, 175109229, 563984677, 277145420, 267917888, 642633617, 638144976, 644918205, 1029489334, 723360286, 854099561, 1044904805, 792172334, 136062643, 444442200, 952282117, 410116737, 149469950, 967024990, 530473045, 635028887, 137733346, 1024823851, 68199031, 569153831, 33975936, 437997565, 997896222, 991142067, 176894213, 856081469, 119054005, 729025034, 185074328, 92489803, 443458115, 908696237, 144640092, 540138243, 123731739, 628523453, 363362495, 903191918, 280530325, 367703444, 955657083, 871289915, 467469216, 389764120, 649073102, 748778593, 738354631, 877629307, 923739291, 544493999, 675958841, 319329659, 470133862, 426618258, 89585063, 878227579, 702952429, 264166484, 499051404, 257235880, 983226053, 752714925, 541690257, 501290760, 751577003, 236919232, 213763059, 883654832, 1046572457, 727526449, 480314814, 359811278, 812152493, 979496334, 113181416, 341601038, 810388817, 375436589, 526954552, 713520276, 982849605, 1048065478, 897226684, 942663703, 212562288, 917584319, 173882834, 216339, 753524768, 665590673, 552695381, 449952417, 18810687, 519588322, 483532620, 717185543, 977491520, 789247412, 335131848, 387385803, 188345809, 355853218, 1071359959, 860799701, 277265652, 992684384, 18545013, 731161707, 743099808, 1060880866, 989138607, 833751259, 944395219, 928475047, 357696714, 646625641, 263119448, 394669377, 756513177, 988550806, 240315679, 918967698, 338248864, 618372470, 243617957, 601906904, 99422415, 2238867, 667072443, 730171243, 228944529, 602420653, 848994732, 661096660, 504067020, 809856132, 568272069, 544557118, 69305910, 651439857, 349580778, 666028749, 573729610, 440821829, 870896127, 355407039, 187365131, 523517292, 783264580, 328482888, 248618218, 411657592, 896120886, 266673771, 213027633, 403234130, 969081124, 892701160, 831384507, 561393221, 396600696, 651891268, 67400551, 703616955, 772453484, 1023591724, 343681913, 922026108, 1030421233, 1028101357, 144649819, 733062054, 415442675, 961242042, 325836299, 649034559, 445617173, 940379451, 701382942, 1016375428, 869141683, 300853516, 943053541, 987649058, 1037538225, 204832715, 135891914, 801080716, 827594915, 10963514, 590286907, 1016528418, 277128219, 123788924, 730702292, 727387397, 995096394, 1052103708, 507935955, 465406766, 884306249, 762535754, 883555267, 712954023, 366108435, 714934146, 48457937, 105532301, 568232968, 101301786, 931845091, 1046072416, 946688371, 407547179, 255686530, 418120513, 439772204, 805719509, 644289117, 308909160, 332415770, 773025620, 250722075, 215581514, 884842897, 333307412, 425394016, 367558022, 81355568, 458342164, 493301320, 941709189, 871584940, 1070666946, 121680277, 77113521, 564428463, 940337142, 1069035678, 982441834, 594812329, 1028493728, 594031141, 254488558, 871324762, 1044746029, 187602524, 530877408, 912274670, 851085199, 594664754, 721653773, 607796690, 511558405, 792774157, 903170272, 216586790, 431419970, 351419864, 682459654, 24323843, 918963735, 453081912, 596644039, 1002950419, 758481859, 78584638, 72637895, 590497446, 448785230, 500304339, 751800253, 836612658, 985648616, 453505453, 344124388, 922085574, 163190529, 579952646, 731917056, 942848848, 976250888, 103208268, 943440301, 624759403, 474192791, 639122756, 13967381, 683207689, 445843539, 1043585427, 392228449, 579670553, 244143833, 1008378983, 485006057, 816115163, 385155862, 84823210, 382549783, 548528013, 765048944, 829102504, 236250314, 339827020, 41884760, 1013469900, 661997264, 70787589, 209591947, 976410115, 759909695, 1038319719, 704784001, 488142836, 49564608, 852729204, 77502044, 108292532, 393159042, 460913762, 432788597, 810688843, 53912747, 579981398, 628701106, 302307013, 732674505, 894039117, 233985688, 604481252, 784547695, 280308714, 905828520, 81993180, 437250299, 749430557, 365264317, 1040122622, 397895173, 133326059, 914601904, 531425725, 360831744, 182164158, 153679428, 905941077, 484837216, 553404822, 406163828, 771710893, 432142302, 104237867, 534558914, 484327372, 439918374, 585912670, 609150179, 566532867, 764282891, 426178521, 901153893, 784431067, 660245295, 243721599, 205705738, 392228532, 224955567, 454243588, 211985057, 434601943, 431984079, 654871672, 662387708, 111476907, 989127982, 262766348, 741578578, 572703787, 527033157, 714455797, 601850929, 98585536, 973525879, 247053512, 95088586, 936656811, 318415825, 241118826, 227861425, 465107086, 703897994, 14779814, 179892732, 864658642, 198084387, 173859146, 157854569, 494187093, 682064577, 862390908, 180013161, 30472916, 603786650, 299835395, 571959900, 275065709, 876255273, 625675005, 445376309, 413978861, 923734769, 359790539, 642971591, 675028956, 986767657, 573641209, 818969502, 779700457, 853621609, 381069438, 1064825981, 449070393, 621013910, 807282108, 447088221, 1013628333, 841753595, 104929807, 673918735, 754950549, 494647329, 707896232, 227137204, 78728315, 431981677, 67359056, 53854112, 424913411, 597148876, 922217053, 404583270, 60850469, 199939012, 619234478, 596878522, 315259090, 640859870, 575105354, 761120326, 262335684, 33040820, 198756791, 722870288, 173450701, 376160241, 192439746, 568026022, 906251762, 648126593, 442936035, 837401661, 643095016, 720893672, 176786592, 68604311, 35815060, 783861418, 678326886, 960199223, 556647431, 545001725, 777629239, 824566673, 716735520, 389049556, 113510027, 769465575, 756990298, 182577206, 703534388, 115837342, 897398281, 689599616, 873097300, 1048764013, 663933194, 750217925, 676169060, 554977202, 415128511, 412781675, 400382921, 1049867024, 12754220, 455128895, 256512710, 72172643, 305877893, 562578246, 867180653, 892864481, 959856270, 272056839, 114571175, 509781392, 372361744, 243746110, 948432473, 121920852, 541046302, 713980839, 802374980, 966564120, 942261705, 614862808, 281410829, 578738253, 1017971759, 1041948655, 877874566, 452024528, 598039453, 344380940, 154729032, 119894794, 9269885, 822427628, 385796511, 949026722, 829305636, 561874411, 973957039, 33699439, 84439257, 631499236, 739063227, 380950676, 623022587, 919245478, 786296540, 380203140, 993531010, 716822637, 1014877816, 306492641, 348303318, 168950996, 752059701, 66518453, 618060901, 967606436, 935344494, 5848315, 790996894, 64465443, 962195431, 937393954, 366557530, 849417430, 861519715, 876355762, 597822838, 386981178, 491539430, 254556388, 531274084, 856222375, 577032427, 579281048, 841426562, 1026965747, 916797759, 413448797, 777978053, 640820717, 121598047, 1037576005, 924402188, 754637953, 451532746, 333214741, 320285407, 87317281, 9518090, 311800735, 63646092, 828643678, 340208348, 964430823, 460445391, 940476677, 921948293, 226432020, 15928038, 288934406, 527576004, 1034435248, 139878458, 126349351, 142374903, 995321855, 21171194, 228567240, 737578861, 514090511, 106903949, 570057976, 731810408, 406041864, 173931572, 423365394, 999546559, 1044011010, 673796099, 165793283, 625527564, 400929353, 734474324, 954873017, 590684991, 86308582, 189609578, 684684880, 557772223, 445921253, 833158299, 238159034, 578635781, 587495413, 555619733, 359048294, 71623142, 935115751, 1028966226, 530354604, 277495387, 145297799, 251602014, 792939387, 1061619453, 688962758, 747570170, 263140895, 212108139, 463079233, 692866906, 10129826, 1030688690, 343057297, 747805916, 420999950, 396381864, 518958066, 436863684, 393361355, 778301162, 900289781, 536456588, 1033956890, 495559038, 981647090, 927849989, 525249984, 799671930, 633477423, 596254338, 217824219, 588997582, 813658030, 741992833, 137080410, 112003407, 664371132, 14868181, 170462469, 402171436, 772035914, 155516228, 903243551, 465099556, 957838562, 870979180, 758174794, 637617729, 331188246, 360439199, 133687394, 809989795, 922543424, 771023708, 80279086, 88317857, 591748280, 946172258, 255606149, 495400747, 263953338, 221240473, 905341837, 476122689, 814371117, 9874474, 246438212, 91557857, 772965037, 296030807, 286897393, 1062012621, 92960369, 919129041, 310425027, 960012522, 131033453, 979061014, 1025478505, 96684022, 996644712, 918100456, 401390252, 252817440, 778756118, 863000377, 439321410, 547382009, 736477453, 860398567, 806449182, 40338834, 682743666, 703426529, 716697636, 954677940, 501030642, 514525164, 708314424, 800341070, 497369965, 386902553, 279836947, 572943309, 967636350, 426751598, 156164488, 732792575, 740654256, 321540160, 744422790, 605814139, 859929287, 454028593, 1061741419, 695124506, 1068307441, 700833748, 540281807, 30995774, 93136617, 882669844, 477169144, 926724889, 208976795, 916851268, 19163998, 991907333, 614037461, 941856094, 9120728, 1024688025, 139437711, 668346175, 331396528, 902255907, 512195694, 614313836, 558980597, 1062761055, 36225493, 705328466, 215187575, 542635316, 371551139, 869861042, 423221420, 98686394, 499944605, 772507230, 862965469, 586085456, 1006429558, 911081395, 142521346, 1070589467, 365185351, 354919805, 688685321, 426534806, 29801470, 635060025, 505986446, 698394550, 614668156, 832762463, 831914449, 252886798, 604347552, 375220081, 515836735, 123389296, 526838744, 399785235, 172312416, 125367679, 412399862, 227049165, 955227973, 737126054, 624837771, 403445593, 780152761, 66980376, 820245632, 867112233, 1056536552, 886516792, 941201715, 625259005, 422846775, 604431603, 42517301, 797206264, 1052901799, 395111932, 1027903147, 376442663, 895525214, 185052372, 857307616, 133992621, 553028463, 549666123, 118312323, 846934122, 645567216, 837453921, 828411002, 616469702, 867797691, 1061823868, 743429222, 431292082, 491125693, 415455762, 838302568, 632768363, 665392133, 977345867, 875213536, 905432914, 1021217253, 800499588, 338444876, 195365402, 219488902, 892237079, 63443159, 440291939, 770691181, 837156577, 153774099, 436767402, 949810787, 30062866, 73708853, 125397475, 796221643, 532670619, 484149437, 282343017, 716020175, 532965723, 1065609840, 798989145, 581044322, 1034990146, 306394833, 449468220, 700609549, 602086541, 823266789, 101873506, 261124646, 703337354, 54695764, 410002883, 112197396, 1024993790, 638706914, 768045515, 451301236, 767686744, 172150426, 607419661, 477843014, 796596658, 553102970, 551401802, 531584195, 617575964, 908947940, 1061436904, 511614176, 303496606, 773971139, 881216797, 389609499, 732220322, 754962050, 53632040, 997668480, 1011851525, 509591620, 409365962, 154365641, 431843738, 414573470, 223059630, 810832608, 711856199, 973231019, 131952670, 938618226, 359311043, 944222551, 330694013, 1062300599, 242028757, 367022988, 333646034, 868597051, 328827535, 446984054, 402683548, 812330612, 793165543, 532341191, 482796737, 235741060, 951003188, 656917452, 484383548, 849772381, 706223480, 505330533, 568807216, 137739870, 748119504, 1011852784, 667281349, 640456479, 25745218, 518325768, 545560176, 863465584, 723384460, 612153827, 58106729, 146685170, 582141931, 1045881430, 633814738, 1064804222, 619958810, 115506906, 65294634, 308053917, 619060136, 180832819, 781956394, 1006171418, 783776023, 624754745, 1018743595, 970586094, 382765508, 124656206, 127119144, 671010350, 966370721, 961491470, 57858486, 960184815, 294316808, 785476957, 365591993, 579682081, 1004526906, 499916581, 1064575114, 636834871, 29264749, 816871000, 471248055, 650679196, 361284377, 373551765, 336012721, 147935426, 323175494, 859983102, 46575206, 520206784, 49982403, 231587758, 47608035, 978920460, 856709958, 361963648, 603338256, 800410272, 208772551, 414775071, 27319065, 1042538105, 1041015286, 589853511, 925870363, 1040830911, 816642843, 34689331, 355123314, 823054391, 290021286, 564007421, 533589425, 521897292, 937105074, 414070645, 1009017245, 427063513, 438912910, 673123755, 332683584, 255225028, 477957996, 498883434, 728539494, 797189809, 712778778, 166090919, 565241794, 44500637, 712110659, 106649674, 591452136, 626153226, 379809172, 479536492, 176345861, 1042496851, 451273028, 404857546, 298860741, 887212429, 1039827076, 940062455, 446469059, 182974664, 88921242, 836191172, 119252493, 791614809, 278122776, 103481049, 867611385, 1018722635, 396822329, 843372147, 1049537598, 272496771, 381501873, 544790264, 231850215, 971366547, 1055608789, 921241366, 229583424, 636861607, 118245810, 205871084, 396342695, 433251855, 93638213, 169278031, 394441673, 679956538, 968003408, 189620633, 1014128987, 1007858488, 50353896, 778006426, 218063565, 1066745745, 436550035, 608454547, 763508955, 254159657, 29830888, 410658813, 437088740, 735105610, 983925427, 836133229, 877519745, 270722774, 593007641, 461688987, 945434898, 748570240, 36379824, 1047204974, 155111034, 204546870, 730527886, 248247127, 536380028, 305673650, 130265323, 805646627, 464235867, 169274688, 766353554, 31640770, 192296259, 987646198, 970918167, 167714832, 602207456, 323395307, 123140978, 648810991, 479612119, 593856376, 972811989, 419956612, 806068408, 637102435, 417702392, 1007078560, 335532907, 171916297, 42067704, 705815098, 992509193, 205327829, 181598533, 930292635, 355492117, 393980422, 198867136, 934712452, 948336665, 65940197, 290120888, 963802176, 282491723, 601957926, 618002664, 232152442, 401775297, 582826413, 225245636, 565722782, 741061837, 409068117, 319821171, 735318128, 803922271, 403270783, 765542080, 898494878, 437384309, 207755974, 667786633, 368784701, 621509929, 68921370, 1039976075, 205452666, 1033718981, 383812014, 896068545, 217439954, 856817718, 697404755, 335315174, 522071783, 315652725, 863109557, 730671190, 21658686, 997201287, 809176048, 209690802, 311890506, 677664031, 679106837, 737500858, 1062849588, 16719874, 770818523, 674626079, 661176419, 977447391, 546255475, 487195244, 1022684392, 619168940, 166167518, 917307410, 454091043, 718042478, 804575737, 490328195, 229959241, 865552257, 361995202, 784702714, 370714975, 84233091, 731295385, 71237627, 724867607, 1033849478, 644670514, 806306881, 382323698, 510754532, 163570824, 586467602, 267329843, 656682868, 523755951, 905409026, 1034300013, 133861060, 494345687, 956398054, 238677282, 513806653, 1005886027, 105876466, 703954382, 724976064, 313356513, 970472505, 521429962, 107461754, 463708486, 240894306, 855050649, 761187612, 546032505, 569383432, 697439724, 143332794, 744428494, 450601104, 546677049, 839111189, 219267858, 137201674, 399867215, 805908966, 669855538, 949769180, 424478538, 420941056, 442614961, 204286246, 847147381, 472477103, 443908176, 841983123, 237250524, 227487452, 325304474, 410701203, 556905711, 553951069, 927316808, 861607247, 966057048, 1069951030, 966338630, 41038254, 734245103, 768566699, 89054088, 1036612325, 153889228, 470192593, 6548726, 186757213, 104535364, 796823142, 930625170, 725880541, 308994271, 734054569, 97032615, 1047803321, 428269976, 550394738, 782185782, 274461667, 696357375, 839521685, 965612294, 1053087378, 1053069641, 279653810, 1739137, 623396960, 402156123, 469299154, 28422784, 174585244, 93927948, 694105858, 5504593, 448593358, 574833106, 915483354, 959540288, 538164761, 1065436661, 521088107, 19964324, 589395447, 979511702, 746515888, 460983929, 745858126, 19929322, 949236213, 773812201, 581308853, 610073909, 317842757, 436072987, 570073598, 350588024, 235418527, 443389707, 381165586, 905218143, 892480104, 318067160, 916724281, 929612457, 307063566, 87933506, 164116998, 763117062, 526818091, 577662879, 1003954619, 630762177, 539119485, 904004372, 772771107, 513692138, 853506049, 207276164, 224804929, 817258739, 490732575, 285375648, 513620982, 1062110935, 878231881, 598957426, 366868785, 23745877, 358228677, 1073371380, 822067663, 534756344, 714255450, 138536987, 980837746, 779801389, 181049212, 620761286, 760414412, 844476530, 423747024, 377511030, 594727671, 457890212, 220962346, 595255033, 252767802, 770295998, 900626267, 137400547, 470828726, 898198063, 463793335, 774974621, 620393060, 486673704, 361167787, 161159991, 177485911, 790054105, 1023821573, 98341816, 206379518, 460494229, 317861904, 813062751, 849537022, 229566427, 596012956, 730589003, 52102649, 924013719, 691689731, 387378430, 141857633, 506631807, 788947740, 447036492, 641355959, 325369703, 144890086, 632523376, 560311196, 78680281, 1014949171, 647176466, 337503429, 634314601, 256739485, 1000088778, 628070005, 30876251, 636427959, 20389118, 510658050, 154678418, 487767637, 944513481, 23270097, 136819321, 983629724, 72001877, 566038328, 500952174, 224127247, 1069425110, 138942798, 377521745, 700293232, 100357329, 387245752, 244905595, 1000963985, 294704082, 127911591, 665690947, 1003490762, 374364672, 260303364, 950548552, 406407693, 515153162, 605999054, 753583967, 338454411, 439215728, 1071673859, 235021632, 922390925, 120379771, 552547589, 347927443, 381246249, 867867303, 627188648, 465615583, 258319740, 954346532, 507169366, 496806238, 289732233, 438131606, 637326885, 756364486, 86353308, 806204460, 479631610, 172189331, 350898168, 43175457, 718496607, 37879810, 197316267, 687897802, 327181131, 123050968, 1008341448, 94027197, 265155786, 369343117, 306791134, 689983670, 317946288, 811199610, 45008922, 999193988, 391056713, 979983496, 181546049, 911558785, 504428255, 611575358, 547884255, 1021965758, 200692677, 55563017, 512636628, 982989098, 403527427, 344444775, 944128896, 88582291, 914657686, 350264278, 64381352, 81547312, 187069973, 795231053, 387973493, 422774086, 959923265, 637091431, 75504444, 730371310, 206586981, 831388941, 769311787, 581270204, 168031173, 945109123, 1056471823, 485886249, 1056085590, 985763161, 431297434, 700937443, 576379926, 955105174, 1071707218, 825535470, 2446947, 439859947, 1001543827, 665217347, 1044809457, 714860642, 757987411, 117737727, 506482290, 908688091, 246628805, 646447439, 832369377, 624182243, 919038173, 1025811994, 1059902212, 863255703, 1006998479, 430991422, 166863857, 115533308, 457789781, 353211199, 701826581, 990456644, 245223253, 784746261, 482312037, 683854903, 129936230, 873850890, 797943363, 586781331, 924285786, 112932735, 175304612, 678490006, 950396519, 598728993, 1049479913, 1000678346, 870050895, 839746156, 1057969456, 815166722, 939604038, 178609338, 1055312387, 631862831, 547114669, 61559716, 725757353, 713234586, 603663926, 556248991, 763926542, 835795066, 390215067, 686004419, 10745294, 594273446, 135465161, 343085075, 25732060, 875446735, 516689797, 180826769, 155583474, 547864419, 338368929, 752465869, 862738526, 585121775, 683725248, 846831733, 129206989, 919508644, 864067961, 97266647, 405801229, 656919293, 793953236, 495625617, 1034999193, 215810733, 59414020, 747084070, 39486743, 791217643, 303615990, 622436493, 886409623, 705732056, 715937263, 370262056, 79067305, 32865244, 392083815, 488016344, 315333428, 1029690236, 93503059, 716889247, 952086111, 246512040, 696858221, 758702789, 725167753, 318181446, 487954209, 565918882, 346971770, 721109655, 670442685, 816755522, 36461145, 1039509338, 249014648, 743700347, 600277683, 324282197, 924167645, 562725327, 426389687, 331517683, 651328751, 1002213570, 449457082, 739736010, 224940649, 1019375208, 565270673, 227869300, 922142960, 680951727, 496061748, 412175045, 542707471, 233413078, 415876702, 280709051, 625093966, 794868309, 86352169, 158332057, 423926701, 711321781, 277491512, 639846982, 358542238, 791382515, 956774432, 378182412, 151882035, 11335060, 882985186, 426506633, 197665483, 468761028, 203403510, 462336854, 65781558, 500614066, 713697127, 745182923, 882516609, 16972131, 628609425, 926171066, 930019969, 82963127, 242851041, 967202985, 629821717, 41432983, 524963706, 516221275, 979326267, 1052355587, 706222868, 742729681, 730471042, 687512475, 29172574, 1026884537, 732969809, 1058448807, 420734120, 29093209, 321994804, 755492515, 667212300, 977546579, 716590387, 346107193, 365146709, 249664154, 146463459, 66273924, 159696396, 961484908, 392871370, 1070961037, 172789814, 817084484, 589065919, 846980747, 136223418, 581714344, 794734463, 334993921, 421142921, 201163925, 249906581, 629249506, 961149201, 1041065368, 587349028, 1012283031, 151540808, 106306841, 1072745976, 85724280, 892288683, 597302085, 841441836, 788720613, 757311569, 899582561, 20576140, 339237321, 438794636, 340807909, 267137538, 324655894, 666213391, 383179409, 672698288, 67256665, 2606769, 540061920, 234811307, 516730086, 315024909, 374324675, 316868623, 875382708, 303896063, 862419789, 607294728, 352999819, 247822742, 398570598, 669461877, 31160887, 976219023, 767091265, 665570350, 197765897, 785449238, 530967518, 313909391, 146575455, 489956408, 972432097, 74279724, 509747171, 489313414, 494257764, 459923902, 877546305, 639487660, 667378863, 169201245, 796567049, 112206227, 6193862, 961839924, 587573656, 514234979, 680519350, 971280897, 1066827495, 666624614, 836201186, 2411488, 386095623, 854998325, 182463361, 680637069, 1019777324, 399926844, 186321921, 1056949787, 883083303, 872146688, 503742118, 945722179, 484038493, 741288421, 342307984, 287233153, 931054066, 516306350, 847389379, 189518225, 391248376, 572000561, 1037593260, 1048692961, 732881794, 649511200, 577598573, 946695054, 654825604, 658872571, 257141742, 333650305, 596569339, 7990042, 369929815, 347775807, 68319308, 978048066, 918520002, 612210449, 886436723, 817203564, 781368065, 622175319, 831160975, 623429889, 420823107, 772713715, 202995424, 477785576, 18852482, 797584719, 730597856, 190557280, 355922718, 433970036, 357932214, 371024182, 110504707, 101409443, 72903936, 617878592, 834695788, 116618458, 791639802, 441947879, 643585839, 512443115, 936747396, 63439245, 807598066, 314232390, 186703173, 426832952, 176246938, 106185623, 87963513, 174515185, 191313402, 2328435, 995161648, 836264903, 385199493, 416202154, 874202020, 221232495, 230639439, 601535304, 347164422, 560810510, 880540820, 104605326, 51490143, 87795466, 278438178, 303176408, 320334909, 840570361, 873081978, 780716959, 809263327, 947016233, 206244030, 720878848, 573876763, 299055818, 314757270, 296887196, 140040107, 491052629, 293499517, 809304774, 52736445, 152290294, 258773897, 348275851, 222378151, 457923361, 842179354, 72197934, 539099137, 464854622, 1016194068, 755283059, 100710184, 976474105, 831943041, 197004836, 923415494, 852009663, 233117215, 953535657, 1004762490, 720332838, 995284237, 25599258, 152210003, 324667231, 777536099, 86866117, 306148428, 777201357, 773104676, 844066099, 627891942, 867647118, 996952975, 83454955, 749314766, 894326229, 770061759, 921311153, 941039115, 400289876, 38193322, 1070648944, 582371151, 237755574, 457130363, 583740360, 255268924, 118302576, 316680567, 580874947, 781041379, 450579816, 197522842, 208399685, 489974358, 238900136, 345903049, 808730973, 687965970, 710122285, 541270015, 639491781, 3622612, 201380373, 560409075, 1033059473, 1007181154, 712394768, 400947925, 468163481, 723478410, 984229648, 251214368, 562145944, 275908688, 926966323, 1018343024, 600261380, 141799178, 1020910181, 420086336, 896842601, 876167883, 434287766, 492633742, 84443507, 85866018, 265744024, 601099394, 689363670, 536162587, 959702698, 551052399, 866320885, 442945517, 806081733, 469655949, 337096880, 175075226, 797688046, 223100421, 999234075, 330819363, 800687943, 285851922, 307419130, 645354632, 410135384, 801317544, 739978004, 500566654, 561861579, 869266872, 486816672, 293273475, 218341752, 832193403, 310900388, 128639440, 211841519, 990065530, 999229733, 977837612, 420240345, 899197716, 937396447, 624820990, 546193846, 315549452, 627726304, 639967149, 370018777, 591059227, 967686854, 904517959, 1022494510, 960833361, 542724047, 321774312, 466576889, 371324674, 455801284, 27651824, 241697267, 789817972, 79684926, 542113744, 868790634, 799497765, 313440552, 968227949, 1055968534, 524116485, 842388775, 1040562934, 734278325, 10039139, 545517324, 531788702, 302376687, 560912630, 300901613, 996199577, 322739102, 974541870, 1072047655, 131745290, 796420115, 425563855, 398825831, 794462394, 696622676, 58100332, 481767660, 805318382, 360603637, 996169131, 1036563998, 630523540, 534325066, 647856094, 621862513, 442037170, 1029141384, 881749260, 1020330905, 310902196, 887579218, 73051348, 296099167, 598578433, 1045319430, 176429202, 930158417, 952401906, 212040762, 858280985, 414062560, 1039588633, 927736129, 1016115294, 934044321, 797877806, 487271950, 776850271, 364814133, 151417163, 443800223, 6738531, 147641985, 589550136, 327297171, 796707765, 816640737, 473536168, 373025941, 437400435, 297830206, 555504020, 227194357, 152030335, 660488324, 265347174, 104684059, 530610894, 145345835, 835224462, 954640922, 231862677, 30475382, 306528818, 632657527, 830759813, 227769427, 159313283, 100553082, 964221503, 5184912, 922537204, 643036314, 973076388, 526337001, 286362094, 825173692, 336348261, 194649217, 895915044, 761247463, 419346048, 187582488, 1060724290, 875172007, 260203161, 899784371, 367640387, 778548808, 408672827, 581877122, 974678909, 146554470, 890302258, 440867716, 72169026, 28527461, 645033250, 713130096, 219396604, 181292631, 548473464, 4377161, 5979754, 812487960, 376262767, 754385579, 339101971, 984852156, 1014097343, 106737975, 77838817, 35110915, 619700451, 841772298, 944976764, 833505554, 560170080, 824663387, 18078722, 1057333774, 346173234, 206067571, 183728058, 265004780, 328348129, 1008968556, 777452519, 267927508, 572988559, 726229953, 1068058173, 868536585, 297244976, 17928749, 361958683, 460611831, 328669226, 261471236, 510406676, 1047612017, 507983614, 84766757, 326025360, 56146433, 321246636, 851961397, 843893954, 236400214, 694551106, 613347140, 593411606, 224122973, 932373414, 326951665, 70193544, 608451339, 793141468, 70147750, 452206412, 532330026, 159820569, 928674412, 222837078, 934510607, 829100507, 1055999173, 894254191, 351032439, 867260220, 882936179, 424003325, 996964685, 555367870, 496401805, 437781648, 746528388, 487183811, 524160006, 481496178, 1051685745, 262875591, 337452983, 1000050915, 1057664216, 78590896, 969739501, 176439480, 937157933, 827470757, 497396353, 774945155, 67993585, 430036703, 667533062, 282053174, 753823875, 502145909, 833557298, 874866496, 105702595, 287058992, 850174149, 773829116, 955335297, 955214087, 745757729, 936548180, 57106021, 838468979, 283586772, 301049902, 1005580358, 592723724, 117957145, 977771950, 433742752, 518874508, 371988020, 673008931, 388827305, 130282808, 154666633, 592607541, 268172420, 880094777, 778029978, 979693525, 1022521954, 1066372241, 242756779, 312949107, 923700410, 754318122, 764814165, 1064195351, 265805000, 771883148, 485936416, 779518537, 232201616, 156305168, 604790370, 465432053, 907427532, 851698540, 455860216, 109170158, 410449985, 128388203, 241769361, 896858741, 175898121, 663376510, 740014748, 970489129, 182087775, 60824147, 577612043, 856827788, 431501838, 379423403, 473528889, 543402308, 253335716, 220103595, 617207863, 92201906, 713831485, 877257973, 459467808, 693382929, 645128838, 401753180, 1033748669, 207918280, 1040529800, 878983318, 1033348671, 5844431, 615687835, 503936859, 629562264, 20746289, 709056454, 289244362, 352378116, 7100329, 517068575, 950194422, 64502359, 18586737, 346633293, 610315713, 330613611, 787191250, 180075454, 686281801, 1045090744, 405952372, 451610575, 867606806, 825407179, 403213989, 358436875, 280673200, 214157444, 609434030, 99151982, 83600728, 1050555683, 234417688, 384124309, 1067823509, 954477177, 907934273, 563309846, 625740358, 350779838, 163646591, 815389615, 701684609, 397140240, 20396136, 1028162223, 652817590, 778521876, 1041724676, 103997273, 519181314, 844290179, 708767554, 467132212, 514381433, 476201566, 312284456, 263275644, 438344104, 399036779, 446264915, 360196480, 336916078, 627250378, 868932500, 888608074, 407656868, 780209257, 699110731, 833690262, 816677416, 343747714, 28597655, 647040084, 143707198, 830397421, 68526130, 434772243, 216123259, 491597323, 703735438, 1014671394, 1033126928, 854421453, 832518726, 518287203, 657098362, 600250849, 719305086, 44610047, 594776124, 548684474, 597848007, 910465645, 841401130, 66463401, 604130273, 9497276, 1008043214, 568077881, 560807384, 600040992, 1030435618, 148964440, 923940257, 270446372, 815937317, 259831077, 630873067, 370591719, 497560347, 381028392, 152473706, 860960526, 272301238, 303538128, 628390029, 786480632, 550067528, 61508241, 837034354, 620236136, 744510146, 714238281, 566606189, 781366722, 399021935, 290144533, 820826669, 409490706, 7099723, 958625714, 911049320, 379355383, 114978576, 374649096, 828823074, 871824288, 220768109, 312276145, 777907393, 364746481, 825000007, 174096978, 447754985, 780362990, 504132890, 353829321, 182131484, 511098967, 675122864, 982357315, 737525456, 359964655, 930095739, 654486315, 895065870, 495129026, 122333143, 563376252, 285013005, 964880537, 513200459, 907589682, 1011294103, 32272324, 126983186, 408782843, 413491374, 27678670, 109372345, 589309395, 129459963, 833197102, 915945138, 907905101, 814768677, 682787516, 968365145, 271347503, 370907848, 840766509, 142773207, 899113460, 1054241299, 5980015, 47275157, 939350662, 497851744, 875301038, 1009555280, 745007792, 357281936, 12351749, 286257392, 700686708, 262963118, 269475003, 896241881, 315258558, 77381140, 238290851, 352268201, 863063366, 151318844, 453889438, 149158526, 399533687, 765053282, 634758240, 130709421, 67444810, 438012995, 806151908, 982178030, 889495302, 844488472, 2097304, 995119554, 404292718, 749397375, 312070901, 748408468, 579034818, 682147964, 685755560, 1017406482, 67145967, 845410337, 891115783, 1021011939, 792060472, 12893857, 1068374833, 116278421, 459499871, 602838003, 50941514, 44840715, 876658297, 939555142, 30430599, 1050035542, 625720783, 215885690, 1038062635, 913020085, 196281509, 565803526, 750812500, 246226100, 446480422, 630626825, 1011415515, 695804419, 164338580, 121942569, 641658949, 782536624, 178322227, 538803390, 67236664, 342336991, 1064542109, 1071984637, 70418126, 718899984, 525724386, 911582518, 240871899, 960912156, 655258241, 106243859, 610834074, 447003034, 1009447623, 450838266, 888412231, 966702673, 167867042, 608072088, 361614839, 110113052, 839864158, 432155063, 636695168, 383139001, 405889194, 964674453, 811038542, 652074229, 662281247, 164897547, 289475494, 962586699, 413819965, 89059078, 268866051, 397639510, 922324088, 972437150, 249457054, 539635253, 355932986, 835387055, 345368106, 856134357, 456673999, 353193603, 732697337, 944048145, 479383653, 151443443, 1009214222, 409737777, 932555221, 216008792, 645770363, 438432433, 453855601, 365441855, 412013680, 540285366, 339435106, 984154370, 658058039, 62013667, 672984437, 767720750, 894896314, 701542797, 537574596, 748493490, 52274122, 443027530, 959802971, 538305792, 467043884, 41888878, 678445086, 282949628, 951313566, 190886996, 976669081, 824116674, 147755884, 941538703, 779150309, 395555554, 670483086, 880117188, 140139988, 728810065, 1051262304, 157604195, 461805050, 157131215, 860665979, 740501931, 909454894, 120181620, 309219713, 629433243, 87383677, 1010372635, 1064807667, 245619587, 585411248, 58368379, 331617143, 1042705430, 567675872, 1067127441, 179946655, 559066279, 252850750, 660817612, 949424023, 692834212, 650107195, 828270181, 579886593, 877513684, 919286919, 880778418, 253480435, 424330651, 814387875, 244988933, 194796156, 105020680, 167033516, 464485306, 207435559, 138299424, 1035807881, 444703446, 929200657, 425434362, 666424862, 513695517, 1022399141, 762171256, 512476050, 849547706, 47174865, 1042330748, 952550320, 131849478, 893040601, 994879358, 4858738, 387528206, 35193009, 5460920, 237862211, 448467663, 116878591, 1073108573, 978302281, 957118062, 119684209, 683422807, 95588573, 190725170, 374835677, 493429413, 374029007, 1029016520, 77890001, 262888509, 806248107, 180040797, 614200653, 246401617, 468803035, 718204896, 362617944, 653742374, 243970338, 799778395, 436394186, 751261878, 851149846, 118206024, 579047039, 838746123, 953962326, 869173982, 608146221, 953590345, 560380608, 846326537, 75170689, 2822902, 970431231, 57230958, 82028448, 598290105, 936266443, 508150421, 1014954351, 283230176, 419271985, 584566966, 362428721, 252733325, 521398399, 705057205, 945156636, 993255016, 864614878, 179990800, 809248356, 312721052, 367631379, 137720956, 704092635, 705693195, 888656707, 110759498, 322970183, 895695098, 925285721, 1001452220, 65033707, 213662713, 472962927, 174423250, 646467270, 867004629, 689604704, 932700477, 549574974, 939431669, 169330385, 81644555, 998459603, 199693372, 422091826, 904107180, 326822027, 1066418967, 398984378, 856989249, 917763878, 967107238, 104225738, 382539810, 426240772, 594333720, 954150460, 46858586, 667292125, 408337763, 1033808811, 390270643, 1058807135, 875916536, 929105723, 347217618, 377156812, 373346110, 421924345, 295737571, 385807048, 494653898, 141738272, 450297070, 355402516, 456815336, 427639312, 443863882, 437292931, 932147278, 1023635416, 378984302, 768251793, 567649561, 615347689, 718826733, 525510394, 160256137, 268217790, 397738529, 440201076, 722395762, 446812192, 306781934, 916813532, 897017905, 323612191, 408377000, 818495995, 20791104, 843881948, 426794363, 304879178, 609324504, 146833797, 926836004, 985800254, 617918015, 91233898, 473264305, 682231674, 84446558, 847357936, 209956694, 455138667, 797993222, 393407483, 152357823, 351858744, 267022737, 588202643, 622152344, 915274499, 778275274, 146304875, 759762286, 310580144, 8529867, 195077093, 695919414, 200605810, 678817789, 145815109, 38058303, 974808689, 536402820, 795520473, 909680847, 535145133, 685672258, 313643047, 4512607, 83462483, 451913268, 543768904, 267537778, 151316057, 859101703, 281056772, 75757356, 641970589, 914501629, 898845409, 603390025, 615660699, 737752170, 942852733, 197885683, 571233024, 416990908, 887397255, 372830203, 499483601, 101211999, 1040261403, 677440451, 152324021, 300683587, 208304772, 901620550, 691620390, 583605585, 164138060, 447597514, 573996170, 123271223, 87339622, 104644884, 501778422, 914464881, 6881937, 967799124, 547409231, 680878289, 639927125, 612695695, 819253741, 819694405, 658964528, 1205647, 721685393, 571323752, 703578254, 839512256, 366174734, 193682666, 467642027, 644619708, 879179167, 540580841, 953073772, 809966482, 664373823, 131770063, 238265289, 609268371, 988134381, 933167363, 530761678, 141140389, 143134804, 624967140, 29606760, 51016674, 316077392, 1045090405, 425827047, 218435884, 636197923, 237458508, 367559938, 1014505242, 993533938, 108148178, 520453421, 896314965, 187505660, 370293014, 517767288, 959296551, 152256561, 460734147, 432577556, 327209041, 3675733, 174418955, 617180662, 796106627, 691919474, 516099438, 849563453, 904446718, 498018234, 857232438, 1026589370, 1071998959, 289319459, 81740170, 597980087, 851254618, 710756863, 335387422, 717146821, 583210022, 1056150977, 592725747, 171867252, 410588736, 69117622, 840956104, 359564374, 358999416, 446606652, 400179025, 48299180, 196533641, 626232939, 950061682, 936051218, 678075872, 143548463, 671472332, 596714512, 174085039, 31115868, 752747827, 994050845, 742706610, 214431684, 238645297, 434994197, 117602433, 99702179, 302230161, 270544102, 541735834, 218319425, 378244276, 452470644, 421192612, 1022380677, 1050200286, 110503713, 677579331, 522220522, 298856520, 173919721, 1056585802, 456378269, 1070640108, 463557823, 1041768809, 764462071, 195841708, 173178068, 898371150, 69436073, 1008719015, 467280192, 729706636, 1025632879, 142231962, 954191817, 93566150, 786828801, 632138719, 763414007, 30157452, 7086415, 182632502, 171543940, 1069941471, 409371239, 363794433, 783899282, 644240440, 792548911, 83845633, 916881067, 224199544, 621388519, 645318979, 723416130, 125429236, 753849881, 487511778, 514827808, 697962183, 783937271, 491430465, 1022563732, 412070318, 412771012, 737835920, 501600696, 570249007, 1055166548, 611344968, 632887208, 474295106, 190314610, 536369572, 961594095, 514262362, 677233333, 654275021, 134281537, 926598311, 660543825, 610688124, 634285590, 861768658, 636893505, 391699800, 936473303, 182874717, 320997810, 862044237, 759816090, 857149263, 254570002, 701795460, 755633006, 565360379, 509683713, 694811695, 714951357, 66808512, 918390246, 1001070621, 987428652, 500630654, 77768876, 1009306668, 540819494, 185536384, 898743165, 646185711, 449667871, 997563148, 261719638, 1007945899, 169915189, 1021238875, 883267482, 657432798, 568472137, 720824881, 215446882, 767436686, 99570803, 29070043, 514200494, 823919930, 797439329, 411313025, 586479980, 920748631, 309926732, 581155458, 248919115, 245388666, 732822158, 92616878, 780797509, 597913562, 726754577, 421460253, 228752483, 215610365, 734906148, 433442420, 1051163108, 861803484, 1016908991, 787947893, 675809480, 708863901, 693740391, 113948386, 382529232, 60385447, 135773170, 117300517, 336576926, 733604785, 681386946, 954743120, 1036750476, 105556436, 698753040, 66965122, 184367965, 81714577, 809385574, 1014212223, 274577859, 41763946, 744940129, 258987337, 477895926, 698469411, 1029948574, 131781500, 308917398, 641687628, 1003961166, 487342248, 915290789, 524810524, 845998452, 167675704, 993832066, 286497025, 92639378, 294520489, 14399976, 127104845, 135260003, 57441220, 865919159, 971904174, 170755721, 627859098, 22710778, 62439507, 791248592, 1063343860, 245553387, 714728273, 1037767697, 183129756, 355885705, 820762436, 572776375, 529072639, 24703428, 299509857, 1001846049, 585234120, 768656495, 164980488, 343208763, 552324970, 796609548, 872641888, 520997872, 945536769, 636009882, 1055638833, 588759304, 572120528, 249716981, 364219692, 639819144, 1050587101, 933438352, 426612671, 291284034, 480541645, 576162314, 89344851, 1064683491, 695497611, 523867333, 321364858, 575731006, 594437218, 341913723, 468025691, 283376568, 370015146, 421764388, 870751234, 438626745, 288121938, 7659114, 643808367, 555512389, 1048801497, 251670350, 67526703, 984969219, 671406056, 468986253, 1019208279, 513385639, 959536402, 912439157, 296348073, 918779009, 645624707, 957619942, 348743367, 305061149, 1007005606, 426971779, 90263171, 500722627, 1005535824, 114885378, 565892227, 239493925, 245138786, 310880944, 425506916, 944000367, 93370183, 414712591, 137445998, 939219111, 935737993, 917905668, 450026169, 53051938, 38851019, 436757443, 925215880, 528639363, 1005895610, 628816220, 48140075, 754559025, 148851172, 421854842, 1002466016, 90997805, 812075908, 290714124, 115551334, 913439604, 300307790, 216050511, 296330656, 979597073, 827084646, 818888939, 448031240, 604047381, 627566512, 674628369, 799558720, 316710446, 125332783, 279317782, 661050272, 518405212, 643384747, 841652714, 699826691, 64681177, 903526658, 458557276, 1035589173, 366737855, 994910120, 813147042, 541564474, 525969681, 368281823, 444863348, 804641771, 712097747, 802135968, 467696525, 223057973, 142138534, 1006797331, 815130657, 595961122, 865397855, 973485348, 851739081, 525399616, 529067598, 667855182, 672541369, 604228114, 1070254781, 836734697, 542527162, 695143060, 377483585, 268733924, 369614724, 415813583, 315406759, 398593388, 439822223, 974933191, 377372592, 502439902, 169508372, 433187984, 162252128, 681472927, 256138778, 409690383, 368175180, 396601803, 485190390, 542721550, 797774529, 900571240, 83961819, 659106922, 2126304, 849501808, 937398353, 29581098, 1034974818, 79230381, 440273184, 138790403, 745205285, 703235785, 110863166, 527308867, 229011372, 583997916, 1022370716, 14182173, 755425670, 793623200, 44051000, 261649788, 2117181, 956744621, 308850760, 419729185, 707254213, 58851713, 272309749, 288598104, 237036966, 118921454, 239327923, 897473399, 697742027, 577268543, 754119742, 712410277, 688955983, 216516132, 521987877, 340551518, 711964926, 7767097, 161692961, 408700154, 1719309, 313965058, 688755414, 704059925, 929947429, 993960923, 847392910, 128514638, 799785359, 1012751609, 899030201, 749227078, 205579685, 309304573, 660919483, 1004142460, 43374686, 816328981, 728914194, 511736935, 433064786, 704537407, 537082422, 243926814, 21221813, 29663172, 211311133, 1071597837, 637245859, 427427906, 744811131, 780854502, 671290670, 606467223, 491299699, 554208391, 704213933, 162173090, 776110534, 623955176, 996964836, 87499573, 38939370, 825960522, 958652184, 135704252, 248288926, 354477051, 230661954, 62465950, 363996524, 238810716, 520324844, 748781874, 360570750, 850645957, 247291168, 994811091, 1006016432, 359058574, 200924494, 910675592, 170841351, 617765163, 314385986, 656542771, 670214094, 177518383, 1031786199, 628158752, 152987568, 631622801, 601042867, 552252476, 1040589817, 438596018, 786385289, 923428637, 111554837, 743931810, 817095771, 504692352, 398630201, 166472915, 590665655, 224515387, 163699662, 469120575, 679441674, 673158459, 654807111, 1029813565, 890097150, 188689100, 971447021, 560120833, 947534544, 70372116, 1044888078, 334968203, 264229219, 1041034255, 275210809, 154885887, 816868619, 1537050, 876701566, 205373247, 253519415, 184319377, 687948109, 807833904, 976276208, 1067008561, 681928502, 559958969, 146459698, 962956905, 101519755, 512240719, 188590275, 874603930, 491862934, 416105095, 643014741, 826038876, 404392038, 973960449, 877544662, 320495428, 628809299, 242017294, 580820989, 302078573, 867448670, 502285710, 363018253, 313269175, 262278506, 193412014, 440875807, 305970986, 795909375, 910066253, 72298499, 328756248, 666304326, 1040724384, 359023416, 287171371, 57665782, 1053138143, 882242753, 373546080, 843601265, 1031418456, 232054906, 516364686, 86605300, 354635158, 377675671, 209202663, 796599447, 187059214, 450249752, 672872443, 941893493, 397747265, 1027424544, 428148132, 638173281, 644258330, 1025429929, 137975856, 996006060, 965201477, 820928853, 810221483, 669628538, 342473697, 1064259387, 975142709, 527479476, 356660259, 376769154, 732606869, 1052955738, 796152532, 534230103, 1023386007, 565034027, 163935030, 733533944, 654733521, 745586824, 450973804, 979601523, 488283087, 209238412, 851727120, 763063644, 887931220, 1051087774, 274469741, 913592839, 436030123, 79330542, 888772237, 846650065, 1011896035, 399463052, 816299616, 67391377, 130376414, 854765467, 418236262, 169392290, 849917084, 764906700, 733074011, 1017839981, 174052101, 752152916, 1068139086, 760451260, 284554774, 782885996, 324507506, 619521403, 825017872, 497066116, 49882051, 495266797, 486232932, 432158370, 45032214, 841309570, 311422903, 995072443, 222092646, 570984449, 936780422, 1052332124, 405595757, 73343857, 253637083, 943273950, 320376865, 239730210, 764566752, 420104941, 906672044, 948883499, 952927487, 770959401, 1060875988, 960215875, 168503538, 196837323, 66252605, 461017847, 368178122, 826183554, 782397991, 1060871813, 890426048, 119963126, 526061711, 196120352, 413948543, 100525430, 82278113, 623123070, 568339293, 456460920, 424423439, 358644674, 209534310, 400568988, 381102823, 957709791, 572124498, 273286414, 167376340, 212122811, 776128607, 187046014, 859670076, 513723646, 157469941, 154586967, 393800268, 334960135, 160293942, 706353289, 455028384, 144565725, 468767138, 643202981, 551065356, 1045320925, 794314785, 419201946, 285419901, 685357727, 756706352, 28425958, 92736581, 286168741, 966828477, 296454772, 724023599, 638387207, 448115736, 862822782, 856018064, 232316310, 127113932, 88733816, 884155279, 889074957, 735913320, 220081379, 19918705, 1058983008, 813796717, 294031759, 904468383, 74809980, 381403290, 910275780, 105353941, 845465675, 374019589, 21274972, 436597329, 533613572, 326128685, 530009405, 10334206, 797363141, 703135923, 175238764, 440437214, 141479715, 509300273, 1022901986, 387065303, 863404943, 702597751, 558292772, 861892034, 859522177, 537515484, 52762697, 996660962, 901097555, 126970969, 1053468681, 408355262, 239140629, 997168367, 127414335, 339987364, 1254887, 449612541, 302746744, 706841129, 960069267, 363994930, 956321384, 559940693, 997472938, 303053610, 305056505, 789121250, 136665527, 257848139, 468215954, 583854165, 1033845002, 393437410, 403353056, 248189136, 592611501, 31837956, 947922976, 793693895, 810276190, 156132726, 358279983, 298494316, 901086332, 792208308, 423965922, 601640967, 284697951, 1004759292, 364232057, 1022776139, 118965682, 80409880, 706249472, 1057991202, 501007482, 809591336, 199814748, 743553329, 422744667, 743406285, 1041737812, 32491582, 553108671, 233218816, 395364382, 337398659, 67782178, 202641194, 557476928, 322275258, 638329826, 198066447, 232654894, 125279925, 377503337, 884802588, 178919007, 541411774, 506136600, 66262100, 1065237621, 1027910661, 658402151, 166438099, 125603507, 82674329, 360299688, 229392854, 444017404, 878034024, 417324032, 845029174, 337794791, 360579348, 927773753, 118268657, 41179660, 860934947, 729478034, 20214087, 760032659, 562007094, 902022297, 277654977, 274687732, 49317995, 761910891, 339350811, 921781979, 944724146, 530558786, 391707072, 667576911, 532290974, 718297455, 1056987854, 175225162, 900133706, 828472770, 721891422, 495334640, 599528530, 548435525, 927029920, 519364003, 376938007, 634040286, 974249161, 1054917081, 852854292, 268816813, 382794114, 125599736, 427437430, 896121635, 86404382, 655493328, 650002891, 264862378, 612986384, 125963417, 739704478, 594067971, 410394994, 123505359, 1019502662, 330916044, 943271827, 768892320, 370232686, 932432832, 623366617, 270954336, 497981713, 700615455, 114814136, 293239298, 391598427, 704326941, 338966294, 871430137, 777159084, 484248809, 7173777, 831562903, 847854165, 588272387, 1010349331, 233739901, 556863186, 258899388, 959487800, 70225942, 952275173, 375757290, 586473439, 674882713, 47507861, 372805459, 934616861, 455071434, 221902160, 242357024, 703262535, 741717768, 702086801, 809013806, 973638957, 913751379, 893391479, 427190260, 332844299, 902219391, 864073637, 511941484, 801761355, 191936476, 85158089, 1032575873, 596839729, 797998815, 1047441737, 934788284, 1060655083, 804685127, 623092827, 727904848, 494007012, 904899766, 399678207, 479707270, 461629992, 433232642, 128060816, 245595712, 220787453, 788373618, 920350216, 344088275, 122676645, 96734536, 1073043821, 993461198, 581354420, 1065937991, 347545044, 777901960, 927062752, 479810789, 337378757, 519742271, 587065976, 853663232, 423487366, 673160727, 778222102, 443703946, 899178487, 938340048, 926281051, 401154127, 864772584, 251804594, 563353600, 131477165, 348422495, 546597381, 994589203, 744413087, 998467798, 793753275, 762717644, 193665546, 1008109088, 875206745, 728007716, 470678340, 96050829, 256688500, 248587396, 10460473, 1022525186, 684772052, 413745180, 910544840, 69610719, 861070139, 796155741, 648292463, 366280558, 65498399, 130258825, 990131485, 748515791, 928750735, 156305519, 706561570, 222211597, 345397139, 979439736, 834869560, 523665214, 852377789, 758424193, 20838411, 621335394, 558512078, 316411118, 28692471, 584883453, 843465406, 421215019, 849195905, 446803402, 679273149, 996846491, 116237509, 277288319, 475661166, 326813220, 707077323, 291903685, 324880662, 86493439, 477205053, 893751703, 467372434, 121626841, 750020778, 30554132, 935345216, 152533234, 645798454, 531690639, 388873744, 962047881, 231229339, 694536003, 894821175, 606727305, 806453564, 674372125, 1028420544, 480545251, 48454832, 706842018, 46137844, 407031663, 639713941, 833531108, 804291361, 920916913, 957636551, 948904853, 770529861, 58664018, 1068375235, 434265395, 131408228, 850469765, 566063806, 940515165, 492043046, 150007978, 734935253, 152491534, 95228402, 518702357, 1008260641, 428667172, 802593819, 544532299, 601614860, 297724991, 111011900, 667419827, 1057676956, 853799183, 7260246, 885292616, 174220531, 1014580031, 358504386, 1066723324, 517767906, 508931970, 508959745, 589752525, 479759012, 951637709, 110854969, 1066132381, 983274413, 412054779, 796904564, 990748583, 580240581, 1072923939, 873329004, 438008340, 761970428, 455408517, 792941024, 52688695, 135986447, 115897937, 687874997, 20558788, 807400030, 29592595, 345684075, 732929814, 841218841, 81746921, 481365327, 270096437, 617780222, 277661300, 115361794, 935954828, 162475326, 375888178, 691450029, 320803207, 801176929, 734461719, 666803007, 664269796, 27890153, 675926376, 391174474, 402342148, 465628332, 640880327, 398573449, 231643182, 20588759, 114011217, 808917817, 723283992, 299133652, 221811333, 672855322, 118430301, 1038815359, 186416718, 847241443, 194093521, 1022744043, 514367762, 769522310, 88433779, 190607037, 787096669, 298887294, 36800825, 105582334, 269190406, 542401314, 217869581, 575184148, 602433632, 840725326, 918123449, 1009192491, 454347963, 557162942, 762797174, 600535103, 692059163, 47511171, 1009364342, 208269570, 960065486, 385365425, 177183912, 852260010, 107156212, 998103626, 805660630, 468508662, 613619456, 4830872, 351332419, 891965496, 437745088, 1071649571, 580325316, 239441889, 180646997, 546096555, 273315866, 71199327, 92251891, 947007898, 641879794, 636680720, 835096430, 432665425, 619726269, 295378058, 85077504, 1016552915, 392510611, 741856322, 341687061, 571268074, 220015172, 268731178, 76136898, 41739457, 226524360, 913510106, 108147845, 660648107, 141942946, 328486092, 13966686, 840533876, 801289062, 796230557, 699477487, 891494366, 683423062, 198337772, 563537474, 122883081, 80803041, 550251116, 1028795370, 445674953, 993698982, 950664314, 1049355468, 28056558, 611435421, 660732339, 1072962418, 655665931, 934186433, 327929012, 105660921, 553885027, 673612106, 735155186, 299223525, 161778214, 613731251, 910802046, 637807652, 161766415, 814527587, 335481654, 821999074, 432297246, 777692327, 249634968, 661530924, 152282840, 290351297, 434933284, 359067907, 507701820, 102730119, 325262332, 819836718, 880434193, 154145530, 39646508, 700800543, 996212204, 417924457, 406309021, 89056677, 889367585, 73059822, 206331799, 985176802, 916759082, 803268152, 781597024, 787887496, 572065208, 641269383, 652802867, 449238872, 413510639, 746262838, 202478123, 483346377, 817590640, 949971585, 575359230, 881964617, 305495117, 665128432, 116241952, 917593666, 1023414317, 3428944, 829347902, 759740123, 6621267, 1020252018, 1065017758, 600376923, 108133677, 42858045, 25502994, 354586114, 489396469, 181458998, 726386634, 152562091, 26177341, 1056506482, 505771870, 116351911, 953184356, 88868569, 197390140, 291433837, 460491585, 819458227, 429475007, 590642641, 890602593, 83748006, 377896981, 394929743, 746278869, 95755305, 22992817, 538319455, 345168404, 808822016, 312317405, 747988113, 1017508533, 828993975, 208258876, 630851057, 332574558, 833923069, 129654322, 104979254, 521714362, 274964820, 19230540, 319847784, 660179699, 812101376, 213379955, 540408135, 667593, 882532202, 216047988, 281818785, 1005907381, 981658105, 973889074, 775147604, 985149602, 592798269, 1045354976, 629278398, 1061398250, 243126660, 88374605, 224023845, 104560899, 532060600, 794952741, 309748107, 922379579, 72476361, 106632221, 953433317, 860959948, 1007896492, 979025047, 623593115, 900734289, 571033376, 315584640, 410600930, 645461698, 145008005, 666629174, 708720137, 997434286, 348900974, 585319534, 504340061, 914885426, 939673587, 236750380, 330057810, 187426437, 362900059, 574506346, 703387690, 773164869, 365383907, 327356166, 404591195, 474545195, 602675742, 272699454, 673747566, 458303263, 817330184, 332938870, 456168549, 743799368, 968475519, 403847209, 200948975, 380719490, 1071997202, 850524382, 689257368, 84570008, 733993224, 693575364, 206021692, 469214588, 39525564, 99880919, 179167943, 487503524, 612502426, 1019666995, 414864031, 513318827, 348045179, 620119667, 491751119, 488343171, 416669953, 338400415, 704145806, 591086393, 590842041, 868310932, 881188232, 844680838, 197993663, 792402850, 749248923, 447032786, 471304429, 241098437, 625795662, 48992702, 385247211, 781522750, 165706838, 545437985, 15675052, 396577126, 788341899, 983709481, 89701219, 369884916, 485061778, 459649001, 622068737, 195543779, 280264164, 725581884, 888876970, 54543706, 519671761, 1017001458, 574344827, 148828223, 125054541, 447421088, 996059260, 485244595, 893861770, 873100284, 408235578, 315109236, 631141080, 329606762, 70080499, 982292590, 1026403266, 350530148, 466425910, 996544185, 596344973, 606189760, 221442266, 447315359, 145207556, 775572731, 22204121, 874037046, 797848360, 623975468, 92471891, 278979501, 373469892, 724164035, 656369534, 591677658, 791333086, 715452146, 787963315, 126976977, 1044766218, 141255535, 550656211, 750980891, 1004806585, 185158773, 189418309, 742145323, 108234437, 56359209, 631213347, 727615425, 882445766, 421582441, 652818888, 445808741, 658749300, 814111987, 524759714, 715971218, 691284704, 76316717, 1044503019, 243628840, 248234152, 423812369, 570999481, 901105489, 1055820992, 770275897, 806088666, 242528666, 466721508, 125450685, 95051404, 925027100, 363087228, 285089184, 86042794, 1024823652, 569541859, 774850335, 575237575, 854389930, 33825098, 398765008, 452143736, 755813755, 411140196, 480655526, 691757068, 181357992, 765226216, 452267662, 1061959337, 44583295, 843080921, 372023830, 575269074, 957538898, 137174151, 846825117, 651678447, 353202313, 343929005, 564488251, 271667222, 825748693, 627203250, 999053614, 928897855, 446233088, 1058382056, 419137441, 448988624, 411942950, 888646082, 175316620, 422923745, 178185150, 175867016, 77259909, 1016319026, 916188840, 215048458, 174994646, 53940270, 1070677069, 945724309, 699543781, 406445065, 298297356, 543915105, 169501495, 936128778, 571784722, 761803515, 690495095, 204118732, 146170549, 624328087, 51023606, 974152474, 127356874, 1068927122, 649884891, 628426539, 739198649, 876120311, 261480414, 252748576, 1038918696, 626119113, 970590699, 945199843, 931939709, 951389343, 1059965173, 135159941, 888812970, 1007284014, 741398934, 434350523, 474309639, 473706375, 841608488, 1051947142, 1010889973, 541559699, 84356711, 386571969, 561972430, 650944239, 3280185, 524046498, 1047800426, 346876154, 160660089, 731426474, 1047954344, 77120669, 884605363, 517213655, 464815379, 249299570, 630605740, 978827326, 439911333, 90842420, 925407059, 105386511, 812498244, 281114149, 245528346, 582860372, 278819655, 140492412, 836980928, 620524152, 998522991, 194446936, 637997957, 286473441, 141719176, 1004014682, 299671430, 387507635, 958363081, 650705396, 837559618, 851369569, 210803086, 443295649, 463394055, 971483480, 740970664, 19537188, 774559862, 990847686, 625907427, 182370909, 925172793, 634008005, 777268641, 681155659, 707688517, 940923376, 275562462, 315751472, 738816412, 296562347, 231621920, 911173714, 692377506, 658700602, 931687609, 849051062, 686087551, 268509146, 667788887, 836457987, 192087909, 918409376, 281847566, 213878231, 1072339166, 112764287, 725627350, 659296767, 702837990, 897924291, 969129248, 21502984, 124757989, 253614705, 384851107, 585692628, 490615781, 301223015, 727047146, 207859851, 180587658, 693284971, 731390868, 423018786, 650363187, 242067447, 115934704, 486285328, 125241192, 916827603, 409301946, 447486348, 1063274266, 617550044, 451896062, 257959149, 693838679, 1059289195, 1007055064, 710960384, 612640126, 27324253, 284215884, 481967480, 406058284, 381092466, 352216766, 727935753, 581319537, 953137396, 138026791, 88953138, 575140009, 512899532, 527745760, 851610338, 744626277, 298417848, 491903799, 184055138, 457385552, 113974641, 780197418, 150404951, 916846547, 311044547, 706677577, 449570873, 1038677875, 523170853, 373921719, 321526012, 111756823, 885566415, 441677206, 823483179, 172657553, 600986323, 761556263, 346026143, 724058764, 600593461, 810217824, 18616217, 324601126, 533330283, 509204860, 578869982, 649745701, 873476379, 127311917, 705615578, 99683130, 449443028, 936060197, 505525683, 439098966, 32802739, 636958773, 1059725840, 1008410814, 578021574, 604171857, 184231534, 108778987, 549085260, 1050672361, 375195894, 675936149, 404384532, 1030116173, 508767770, 261936477, 732405258, 996372957, 57158456, 521292100, 848258930, 713132548, 927052474, 42230547, 651329346, 598777829, 940215035, 290025543, 767126983, 701953408, 570547154, 870840061, 380632557, 1046691492, 537244594, 776686696, 801342583, 322031838, 370851555, 699604382, 826401080, 131829642, 6668355, 825621933, 395230468, 669777502, 143314488, 844156948, 866786574, 315501783, 627681950, 625499524, 355939748, 590330364, 125981731, 23695064, 991227627, 578865761, 158045973, 737937573, 379922093, 196577348, 85469206, 889344083, 931773370, 958689916, 297749131, 156221556, 201013228, 1002392528, 256168716, 370649655, 161746478, 339598747, 577964533, 880144197, 529320523, 53122420, 198480705, 567693344, 334644580, 555537946, 1058268737, 446172562, 882445035, 669080567, 434311208, 228439698, 897095989, 427649153, 566942603, 372296213, 668519021, 876344155, 1019214991, 649852513, 391739156, 596822957, 96755467, 703646180, 590750139, 843771545, 107117710, 323734278, 27874098, 207436538, 693818883, 966370133, 481687308, 154341210, 741431267, 992171826, 1016511089, 109779256, 237387815, 177178219, 106086923, 53816990, 774094241, 109425492, 338243330, 1024604408, 303658395, 265153498, 215143919, 405909028, 375151915, 357379457, 577937491, 27614100, 641296141, 388953910, 688675709, 128327000, 517667984, 230659721, 512593072, 30252314, 801120307, 818068911, 17566346, 449031920, 536720420, 36651867, 138432920, 161998131, 338074208, 1059447113, 114180226, 104999671, 665154948, 284588087, 830956681, 139277807, 660786297, 236621525, 858769772, 197165809, 24041829, 453733797, 258772949, 108270720, 1043878714, 919417757, 38850417, 364682077, 53408421, 550905994, 381832568, 145127361, 800540459, 564621444, 530784156, 1016094825, 49014035, 177921990, 353849744, 141084528, 288319004, 406299241, 35780464, 856220886, 40916663, 1017818286, 929200167, 529419868, 675703122, 426917528, 739824623, 23382588, 1025076283, 783566913, 367900562, 25242460, 484194498, 444798789, 867176116, 288006785, 327788765, 269869598, 12458050, 476385741, 902048523, 1028250827, 532934319, 77836921, 566552715, 159863556, 801984937, 115725358, 234513145, 699957922, 1040645246, 237197628, 1048681386, 947578749, 562416120, 252557532, 495151482, 423958828, 723740028, 890546203, 115036241, 134027498, 188742316, 954918641, 687808829, 856606944, 577684887, 530684270, 156064775, 160353353, 5380419, 804517410, 677919526, 349160997, 466509374, 464359567, 982951432, 974117702, 176568418, 618059163, 123831183, 1072413596, 768761001, 895914351, 640620491, 342284345, 824523011, 357381817, 447447964, 380267499, 892368449, 616574871, 718025650, 543343203, 77238, 254323042, 289462960, 712450597, 543390314, 533278638, 698134882, 357339402, 914405009, 91269314, 763396183, 551630213, 765730257, 1042323218, 579132647, 624795725, 894331322, 461462346, 337118240, 795567929, 922798652, 626931491, 580697973, 703364050, 531293452, 584333860, 136547884, 985218672, 201644624, 240636350, 1027362252, 530711263, 1041417034, 829649916, 324130118, 77502264, 502377053, 123097181, 259967896, 478310115, 143833203, 891479024, 631345363, 1022439056, 1036441087, 341886422, 583866404, 971345882, 447305210, 515654113, 463930031, 940771302, 773878160, 239168525, 881126206, 559996099, 635525816, 961107776, 872774150, 23467008, 596164982, 570544028, 892294759, 97658623, 12266205, 1718137, 671954301, 131946933, 566416892, 686457881, 896547269, 556004785, 404692619, 193561242, 45343815, 128330622, 1057533444, 210432113, 340928665, 459001491, 965387421, 565153820, 613260986, 219708423, 862826135, 457038255, 692524400, 92639712, 499525791, 130175845, 546073470, 626659739, 1032060412, 706931486, 360647238, 226510424, 776567105, 936071174, 23571243, 849467550, 988988504, 25870322, 954508088, 230844905, 620842821, 517600999, 914927905, 742725597, 245814205, 868402791, 863121120, 490630258, 734113186, 78467782, 490544994, 572079592, 867438321, 1038271300, 456261471, 878273211, 729053446, 586194681, 656855157, 797630596, 449443906, 526128361, 963579845, 34833189, 70681288, 769518794, 187090370, 625146861, 931928273, 980748682, 99481453, 611150411, 878105360, 602377166, 337071482, 329985672, 869433791, 952054212, 720919006, 41795599, 980503084, 997729796, 50051185, 580561612, 335442745, 296197018, 71658162, 758728835, 183097403, 363066211, 489055205, 299903773, 305582101, 1072445366, 250489873, 382035100, 181380613, 830271133, 606049953, 852109539, 91424623, 824396904, 528252251, 908801880, 524489733, 702901906, 792874633, 229020038, 1012087433, 343185408, 687934928, 352924428, 343872343, 635392092, 709730262, 844179423, 296431932, 926630789, 437151802, 43108479, 269437314, 716812911, 277055216, 717770011, 818309184, 247052056, 553487337, 51614690, 339173099, 531286010, 268203668, 93450720, 233550138, 699988009, 772032705, 24172189, 583246830, 554609250, 121384006, 733996146, 997969615, 647472984, 745579042, 498227158, 3357839, 660395170, 351499618, 351311563, 816785783, 417698696, 720526814, 864805875] 34360)," 4194303 (minOrAfterOperations [419903322, 688313459, 980520565, 778186531, 728156044, 624785199, 657345095, 600477471, 84801537, 918679624, 490711431, 441138238, 213454370, 974411630, 826264104, 607720179, 902524014, 444967370, 862247273, 242875835, 910165871, 234085344, 56194074, 669961614, 580482922, 102842631, 838733798, 865213362, 174902297, 324262124, 43612545, 1052603088, 448258986, 78235688, 726214989, 934622879, 956710518, 989435480, 705776991, 447074093, 808023410, 556483273, 104533741, 879637843, 684408412, 622120989, 795161136, 783399911, 813310226, 1030907029, 686190807, 413288229, 1004166644, 1023022180, 129497557, 354107595, 1065413816, 290589625, 79916667, 284304480, 332679726, 796032677, 718422367, 598059210, 596283479, 443182717, 229645917, 860349771, 231040456, 855848076, 873894335, 4358310, 193369625, 156251499, 208591385, 378646994, 118986689, 775540593, 840938462, 989338504, 84993787, 539962592, 49170592, 1065398849, 655839213, 790826529, 313701856, 564283566, 466416494, 836304380, 147697308, 954973000, 76617442, 1048824033, 887846413, 254276909, 420038139, 905768190, 703530825, 792067153, 199839840, 407749187, 351490476, 991498362, 384750321, 443082217, 778248150, 1002636021, 1068542543, 374415959, 1040971587, 945025935, 799778208, 683471198, 162995731, 656866562, 1071611333, 791076753, 736144094, 512137058, 507013552, 880387752, 1022746980, 977811997, 576200117, 675971886, 415300227, 165201856, 401015509, 806143344, 255185897, 404206786, 924262440, 432585639, 798614181, 171373027, 164454118, 777761666, 244588253, 477096333, 961735804, 949765904, 908002868, 279418360, 770458150, 335010281, 941317570, 365870568, 941481536, 425610038, 701178117, 25766278, 433593525, 200911499, 414310979, 192231436, 436086338, 813687008, 286775669, 753428386, 946668362, 141872550, 134754960, 951777274, 29872152, 814884739, 263219348, 430441262, 619616328, 31981485, 114725231, 558789639, 8570896, 486662318, 1045292612, 468294179, 204660873, 412319862, 145482639, 859111653, 710346452, 840001646, 191484842, 735302464, 471119719, 1052586807, 195133236, 21125183, 144548369, 179686319, 653354670, 183802239, 841494069, 634517576, 382671470, 912697337, 733558641, 114578817, 416492954, 738807694, 1037329494, 185913717, 424015851, 52211668, 1247879, 648416745, 790877581, 858332348, 305186552, 400076193, 560402492, 830465710, 972828067, 906454992, 188241551, 955223546, 638304228, 728812085, 1021152368, 383123183, 502877257, 959140704, 611313213, 1069905771, 831702066, 39452912, 302422955, 717825840, 419583159, 884641678, 799518030, 934461558, 973282936, 982557666, 814119517, 737160348, 786167020, 674815927, 437700178, 646682659, 272899346, 701631141, 223716939, 269783697, 687247339, 340175007, 898124411, 88003061, 34267468, 1016436645, 277926568, 434810100, 134885341, 286216180, 576160272, 709025623, 307425796, 370697810, 407837507, 928198431, 519250205, 727912066, 160229504, 889130670, 241442482, 938160202, 980659102, 523000236, 14550533, 499765531, 763973358, 494467960, 11452410, 270019710, 998404681, 942854489, 438629055, 974360577, 142417263, 522616133, 745637981, 973680269, 41518275, 214837532, 259525576, 1025845193, 354561150, 686298098, 325077000, 88159629, 73868329, 231817361, 629664585, 99206636, 765562878, 226262955, 935437397, 469180748, 759337480, 19755996, 882074865, 79489295, 424374494, 667958867, 245299215, 250245245, 244061826, 815590676, 159861074, 528333856, 943510027, 521449973, 836237260, 88127150, 359221344, 526308976, 450841381, 42115276, 643189505, 935971111, 548792764, 700201725, 854178260, 138730366, 89262120, 507590337, 33924048, 553720962, 160961307, 900053415, 303870001, 992709457, 846854954, 285686467, 637012705, 544707218, 794668873, 313410245, 742676275, 1071618343, 19436565, 163194953, 1065852815, 573327034, 667993998, 764963590, 359733236, 50588984, 57082058, 606594635, 548473938, 379417727, 112737524, 1068584616, 808517597, 569493239, 418742907, 312060049, 668230157, 500202325, 260073638, 16988131, 681806689, 964535753, 678210710, 466610822, 395686844, 795452793, 710129161, 926040318, 1016593564, 431585965, 101037733, 1007128600, 495096514, 170741563, 1050344411, 249886317, 33470668, 925918735, 696908659, 309263881, 793746401, 730316956, 781322995, 586381290, 754574933, 37115674, 683024027, 494215669, 358256783, 159152937, 97702287, 390933579, 591943400, 363885421, 545462334, 385736988, 75100583, 687707263, 126571461, 792710976, 299722363, 452394152, 557269825, 171956285, 673420811, 124702052, 1014435314, 854878299, 639207627, 185026876, 881139862, 829983250, 660201307, 208321081, 948998256, 595006958, 773996369, 402143015, 459493326, 509843218, 495861451, 809648379, 516687012, 166236911, 1028219609, 197871516, 91787129, 389134782, 739998273, 748285581, 449928336, 301341493, 188525211, 142191783, 561939123, 599879587, 442941688, 955637059, 238244805, 707424059, 228685881, 771469157, 811555052, 897069330, 951811193, 276919007, 29393960, 1031961447, 737519466, 345252856, 954349052, 866818855, 330797033, 5858293, 439794186, 370348341, 745754193, 353230282, 904230764, 519661019, 254887054, 756675595, 139694958, 938211778, 511053630, 345984707, 636133251, 142978751, 275871440, 1021510473, 170354902, 814208178, 370923856, 299917487, 118540309, 737535604, 830237432, 569913709, 122688096, 895637971, 429603850, 188818406, 559839006, 423282923, 230833962, 168978543, 468342897, 830196701, 401117933, 134436125, 24319379, 806054292, 93120824, 129999490, 612778810, 474427066, 629503183, 685261876, 514009465, 25347970, 538808316, 654322698, 197039941, 1004652125, 134414823, 979953922, 109031535, 128999803, 1011902952, 71220257, 415745468, 80664570, 670015896, 1059584519, 716627314, 381896075, 522680472, 820115610, 92563767, 1056541961, 1063655803, 794960603, 765042543, 751570522, 476769541, 975671417, 807141144, 712348872, 851283655, 228886072, 790968481, 710651696, 452627611, 933917179, 348542700, 208367369, 521488293, 370434036, 341529578, 782925332, 652593355, 285390200, 637735566, 534776277, 824020184, 700501854, 574235164, 657599823, 30325796, 63176444, 884966756, 925935851, 505694827, 965776503, 783222588, 924165289, 737567460, 562030525, 995439966, 997782552, 95917301, 323713651, 980612264, 368333309, 883864549, 152182408, 437365089, 867457385, 1048294143, 847642172, 745616444, 458954218, 614258986, 654879656, 5241059, 789838691, 900341357, 849357876, 984551062, 380533738, 823084289, 820705900, 861268393, 180169387, 799809303, 381208860, 438454209, 429606694, 670285469, 97100661, 561241118, 990232351, 1027086323, 500418691, 725234260, 550514290, 849582323, 119888205, 852436724, 997356525, 620665781, 978015632, 697819272, 927098413, 944618400, 145307974, 110550033, 382575542, 380344517, 96058360, 221342195, 875024144, 293066211, 659619665, 100552225, 545661163, 513837450, 1057309622, 572234579, 438960134, 494907887, 115377354, 173540896, 549014538, 196116333, 581475126, 152173120, 170817302, 453541658, 711812256, 557585117, 610670070, 977136391, 209989676, 483024416, 235260499, 747346723, 1012293003, 695886624, 109474890, 986072547, 519835783, 1016979293, 329204328, 901450272, 402663957, 320333148, 540755308, 1070438078, 507428383, 123048305, 12775252, 836635607, 274998821, 80425763, 1032171547, 160354355, 750236046, 403090770, 459961641, 572149217, 787476007, 1040533134, 582194946, 984034195, 615394394, 313155324, 607737665, 364231086, 987472888, 570760263, 677952076, 1001822083, 38820911, 321740672, 1038650913, 82928738, 731558331, 947613418, 1005649390, 521850983, 987272434, 392425986, 283556280, 461088206, 375132831, 571380469, 951302252, 997636448, 384062399, 754989882, 780515773, 383621295, 43300663, 385251676, 116645236, 842607353, 676698614, 1004840686, 817414044, 525357147, 748050289, 675177749, 107190016, 966921341, 1036392846, 170314167, 63122594, 791902429, 638490250, 452903390, 309705950, 696083402, 87758501, 386393289, 468761066, 732913435, 520597951, 439856385, 726824197, 656941283, 688518114, 990835028, 44908290, 419505538, 526078713, 1039368681, 15942505, 844396678, 395229133, 822563145, 594684846, 687938163, 218217093, 579800250, 898843041, 393314108, 510486815, 393271512, 1062184595, 419592561, 925420570, 572312604, 890050540, 74251217, 244191009, 477642153, 104843439, 968083480, 1011582071, 198594170, 37276278, 523941185, 369565997, 804617038, 664986719, 23609043, 539284557, 219784008, 698662093, 538233319, 959855430, 151733782, 854602959, 497503459, 748611927, 221807091, 895848512, 50590047, 887037568, 293984754, 617361109, 175483569, 125740052, 391637672, 558453074, 61171735, 1073268545, 568882903, 677357397, 1023959643, 201004110, 598235045, 576417662, 374845664, 688159441, 655812207, 284066120, 704628758, 1054852519, 167048409, 727524544, 363874212, 359904934, 374121276, 817814723, 801442089, 181806578, 350067096, 978360857, 660950828, 1037647109, 101104725, 929022519, 666401241, 233778463, 302811665, 885018836, 247669787, 1020190457, 36028049, 611437845, 1043081986, 541925280, 939204649, 829765701, 1055569927, 514740934, 710929332, 888843757, 977929883, 13732107, 750038880, 491565368, 423262289, 466133970, 257667321, 549272085, 209438800, 924785089, 589708050, 684574554, 707559850, 57991229, 471116904, 945056255, 308838712, 217006139, 613877518, 715958812, 853900323, 729677420, 256671463, 602973457, 555163525, 161889029, 857348390, 856426078, 632994872, 908956780, 778441587, 683547270, 52365671, 65333064, 730741040, 876891266, 76489744, 1054213916, 401090549, 227018737, 1064010180, 125308115, 500018012, 195366334, 567142551, 983560471, 633781991, 988667525, 619889367, 722897059, 660514371, 972176733, 915640390, 674107047, 343732530, 964673801, 897393953, 443527382, 903639224, 822967761, 142730952, 9702060, 753231857, 74936240, 889115545, 293259503, 251061257, 207619865, 262779125, 90141328, 89769773, 252701709, 205998048, 942203071, 201845225, 603393098, 479070682, 705653925, 228459556, 60210095, 46322075, 601384237, 847987675, 21851313, 765950229, 17857588, 550037614, 581813301, 803212862, 567684234, 532848494, 628623800, 310246795, 768893391, 617951245, 220783986, 871171889, 876802114, 619106584, 295292378, 933116900, 288068209, 575331395, 781778123, 641288337, 389603278, 130329316, 653870182, 425979305, 474989165, 75530234, 439637776, 409779379, 608070738, 1042442378, 629593021, 434122457, 792533815, 696752030, 880900078, 625799453, 396451842, 40206528, 594415962, 730138851, 1026891350, 1006620684, 876628927, 384971280, 301897130, 285882687, 739677228, 137009669, 544730266, 956673691, 371061225, 100953473, 520612245, 391253145, 498652344, 974456354, 96855210, 200305536, 711047739, 103456843, 400092461, 913850517, 137534348, 853680110, 775546425, 152831562, 851175363, 260364005, 726704211, 868296214, 453904202, 467183351, 906544277, 964163996, 630470742, 130082157, 186070115, 12342320, 148352420, 816982450, 645084474, 41608615, 161679100, 346910689, 783032445, 1020537514, 261031072, 994462572, 157299070, 46449697, 360377908, 570565985, 278440002, 954859574, 1022566262, 668558480, 832822523, 292611355, 821858059, 530185047, 296418185, 499656945, 429632637, 1024274689, 587204188, 470974330, 89358678, 640141626, 1002418672, 490312047, 310106211, 171205864, 213846394, 468134064, 482229731, 645742982, 85614860, 1061824727, 569929946, 22539895, 718194676, 11874796, 46825663, 1061730575, 75520456, 282361559, 921457962, 12957471, 405459176, 598724396, 582333105, 1050616900, 447655993, 339375819, 986613211, 818339725, 847302158, 754351063, 945308045, 96016240, 700240788, 377855230, 926696676, 224546084, 856011295, 320801749, 475804804, 380300317, 909900113, 35268291, 165213346, 503444435, 856025250, 675263094, 16928944, 670623448, 858558591, 48826898, 669906476, 998879990, 1028234990, 287064441, 530318783, 749561600, 80399440, 135206014, 26006926, 788773730, 352434229, 569774388, 395676382, 530949721, 308727416, 973900644, 91267429, 954700232, 821342013, 777524040, 437895334, 406686965, 304677578, 101153924, 461798859, 1072743473, 272042341, 237216363, 921843874, 494865628, 922147444, 97630303, 287364949, 967207050, 601462396, 307092603, 129098093, 16297214, 44426252, 427579268, 68354726, 686623826, 605590463, 47622085, 342402023, 1071621451, 781269984, 2410862, 276870874, 1046637726, 589260076, 478126883, 535274561, 1007507891, 619156034, 560935752, 356610104, 589602792, 228073821, 1016769744, 64632008, 620787956, 850735414, 686579665, 171791814, 879724502, 506140104, 1066016595, 362715956, 528771667, 7809061, 335658611, 1062954636, 260282554, 675295389, 932153877, 988201175, 718962383, 197364078, 700577087, 11164924, 229132464, 136100531, 321978308, 724558723, 386884110, 697152984, 952440066, 661335342, 152659850, 323053298, 972321535, 787628197, 100898531, 120108102, 681581068, 849892307, 697525981, 387725660, 846790388, 868913139, 173275421, 360342306, 295924623, 790582128, 2162323, 748052597, 48015503, 312275763, 787621178, 876350776, 290941433, 852551702, 606452855, 851334719, 586773607, 819805299, 47623215, 540277435, 15051152, 803550880, 211310750, 563375820, 841957965, 719976592, 102207285, 253031081, 858530726, 744107368, 951073385, 402930250, 83539648, 593711068, 11956308, 672243737, 201043970, 738465903, 246176775, 489814840, 512135917, 993255226, 301128838, 397913686, 229437853, 221372414, 308332997, 887971732, 989669454, 1010710381, 682637814, 921063552, 398306700, 269067405, 734309333, 932051927, 944352460, 1006773420, 66640658, 484296330, 227148410, 963263571, 884180341, 632213232, 711226487, 260817125, 570564641, 180846262, 755598455, 238551654, 375473680, 1036751668, 457207930, 325508411, 856581843, 1000903456, 909615641, 790519109, 4269180, 473144590, 826435625, 873219190, 415134683, 938451493, 1054746712, 692877959, 685300856, 518144865, 908380201, 659793981, 148960458, 487569785, 436654012, 548246645, 551217040, 927781170, 645663518, 780948290, 565904077, 457146262, 804976837, 489975257, 700500649, 560350882, 991467675, 589475669, 554617486, 574865236, 872439283, 983966725, 1031186898, 991668369, 1033569783, 311133064, 306796529, 609322534, 1032942282, 149237528, 509624458, 1052603497, 54651522, 516827236, 362137070, 345910268, 852752005, 429471291, 220550753, 1013254462, 827125693, 933496062, 1016760871, 330916614, 326782525, 1010259736, 652879588, 423724451, 558302300, 78619099, 8941144, 924990983, 814166005, 829565515, 586957227, 36415604, 294702095, 144700137, 381006767, 296580151, 821242581, 340441224, 243734094, 806563036, 646197302, 574858975, 731972337, 694091486, 829711464, 724117138, 957982542, 113174423, 1050435692, 381558601, 11459581, 336342845, 821577763, 342215391, 594665431, 416866221, 216595169, 293176707, 264847532, 691379134, 952615058, 162501470, 855481550, 137657740, 815625473, 350762483, 408228971, 563683440, 695869600, 611546383, 970455277, 349692594, 1073601426, 692467305, 289157762, 980589096, 519789283, 1018361943, 836960149, 137050906, 676377410, 146590418, 695212805, 320939521, 221735880, 174907962, 524324393, 653889711, 380893440, 329304130, 1064897374, 77785540, 131291185, 557608667, 660800631, 274985757, 322461711, 557124206, 277089274, 447761865, 932101714, 61326100, 264728699, 429524314, 458169208, 28174845, 997668555, 632424643, 644105518, 359969614, 177549377, 1013004086, 764549006, 676610495, 884894369, 69172462, 463339716, 554901536, 489003377, 1002427464, 956818450, 543257910, 77803797, 761228645, 412607755, 288258142, 878596648, 174526813, 1022711824, 108480702, 358949042, 55862203, 437141030, 278952414, 756622725, 800064912, 634397641, 166363611, 899083140, 12867913, 879692980, 566190973, 784458576, 455450122, 593018867, 1067017096, 2967255, 104950001, 855018518, 947427213, 254769525, 1054117923, 52237089, 431282835, 226400719, 487308847, 716567341, 735199555, 171513078, 369999130, 320174527, 997145225, 285923420, 936975748, 325750107, 103344055, 1046472870, 613556515, 191536018, 416028218, 282625741, 498758280, 496613997, 198584177, 608169654, 766244155, 231301452, 452678456, 642908194, 623383814, 1072420726, 342941393, 775457987, 852966375, 800953511, 545578796, 719018360, 581696182, 1071849910, 425429820, 823545504, 266706918, 33497808, 733700809, 849780642, 700699958, 632180155, 1062166508, 159217546, 234531789, 867365599, 1061781538, 211023111, 137304160, 33309651, 255072850, 190087422, 695100818, 815665951, 484276162, 187496880, 742973917, 482860202, 390569455, 412873140, 469102234, 278669747, 31296345, 799778135, 665679688, 125936467, 784478394, 289534459, 423108840, 742402684, 377010140, 769343554, 1017440917, 682316827, 873597584, 658911981, 854521796, 985993140, 1049355795, 124200246, 399219048, 100759800, 27320086, 317450479, 874001953, 1005080750, 43325247, 527052647, 1060045637, 1022365371, 509346047, 240246267, 786538142, 900797592, 366863696, 229501480, 266812293, 239610258, 899495619, 868637671, 352903131, 758234359, 1005851701, 962133878, 136430080, 636363927, 517460936, 260916895, 108950912, 430443576, 1020691858, 1048477930, 15776355, 135661682, 127851798, 943799991, 258389016, 818195390, 57710515, 628136691, 513483465, 37124938, 452242420, 409844659, 969736104, 64141282, 544590518, 527584066, 167559935, 28282920, 249307427, 25021894, 558735445, 966334243, 597295185, 51241982, 538274514, 735779445, 345459636, 437827191, 301563561, 93954702, 199581077, 567351755, 802190793, 105296534, 544347855, 685636133, 67695731, 357477136, 789893746, 402000918, 87030825, 950404464, 139294393, 428629678, 739807513, 8761205, 1042306262, 602099622, 73839598, 436210674, 114084395, 237081783, 687520231, 576812643, 244062097, 684271929, 632165578, 60647106, 872481051, 230052427, 792228480, 265714695, 271105061, 114236580, 544566912, 21512415, 311499756, 412874215, 600396869, 711540998, 221942757, 320361679, 972074088, 857690478, 657541864, 4031749, 301527974, 506373719, 175381560, 365956915, 985415838, 201587092, 720054473, 1014834897, 846507660, 1032660582, 466373944, 638654411, 252452264, 405738733, 83215995, 567138216, 315210937, 565006905, 878784953, 749489395, 507649367, 348234191, 923767344, 894206600, 586502746, 538400392, 572442657, 650315389, 149755445, 690523512, 62319755, 771841941, 46042965, 212652466, 500114358, 384645156, 527034014, 580511354, 87872498, 88106790, 16958841, 156280149, 128223797, 280015789, 214730653, 35812114, 61734609, 904925295, 457533136, 265162655, 748857605, 413268757, 760038558, 637061724, 48518328, 762746426, 452006441, 295191777, 193736716, 279469338, 784503961, 782757866, 800194228, 1016246466, 641875913, 991887964, 721440411, 494391150, 94142592, 739839149, 981673104, 850016607, 545682197, 686948070, 939759740, 1006499512, 750788235, 106935526, 462447252, 263185124, 970108392, 535473260, 1013714320, 1043260195, 17499727, 74786478, 911892558, 122201370, 13681963, 417557909, 837581569, 820015839, 170289440, 471308940, 915355420, 1001731261, 893477900, 223922051, 51320793, 413275596, 887984166, 589087889, 1001264079, 969972559, 580203985, 1071810890, 892641911, 979181308, 908474862, 115591140, 26663295, 902713098, 475725998, 477404959, 441398185, 810961207, 837052510, 873577998, 302982027, 97313698, 242673337, 1057685869, 1033648716, 796125634, 690779106, 4135971, 44386411, 512795058, 68827162, 493062155, 352290145, 679346551, 749940615, 165278996, 793839953, 798815702, 500176982, 97624270, 899106368, 979782093, 149873864, 986185308, 274433507, 797245726, 174124481, 613658784, 736668690, 335075502, 1072992102, 823285171, 672112706, 555231255, 1059732323, 683817355, 818761247, 756241653, 58464057, 587105210, 182738192, 816996979, 980688635, 716265905, 566911266, 275326620, 116024470, 454530160, 255937709, 387506756, 240832785, 537886969, 1054341003, 135482924, 182787154, 104354585, 590337071, 108078127, 862495672, 902527096, 721885102, 621892944, 680778248, 238590546, 326927758, 1062311021, 67931373, 35920203, 659489679, 569421307, 881975427, 649060942, 571895751, 524640755, 426471774, 378733610, 604392390, 1008071836, 309700078, 467207354, 771800498, 841498277, 796591113, 276601243, 571848871, 127039041, 681854445, 841497929, 672749174, 959327389, 897248398, 389327760, 48620111, 814890334, 838041475, 232305566, 547810362, 97601033, 612006422, 630413459, 211640735, 813117391, 851735704, 1031638705, 740767187, 174182028, 375376187, 24673444, 124789875, 176350870, 954139687, 506094332, 789858189, 402917993, 710371269, 834212646, 796587632, 374660688, 167562598, 509983303, 834826379, 923731499, 522861851, 933921374, 871221086, 633414368, 190290211, 560748408, 439755355, 653934934, 266136459, 965386562, 91362196, 507873678, 148883089, 430362488, 295993362, 625707838, 751721658, 142388893, 71186396, 468950171, 250288578, 66632400, 374787730, 823965094, 580299287, 630072597, 977835624, 1020609131, 206673798, 625118215, 506524866, 290152242, 552694081, 560072515, 888377099, 887199307, 55861944, 214934343, 417529155, 704091774, 972008644, 638777674, 695682197, 474989609, 175795593, 685626963, 416144486, 720971542, 886223758, 259042391, 55740372, 721893856, 770397838, 108116682, 634217797, 618494529, 1022954122, 493284102, 233260470, 512265830, 24076693, 765548141, 369811040, 439373224, 951300334, 221165880, 1060287113, 719903635, 759584919, 372304307, 1025540281, 293140294, 220565228, 103489205, 243489436, 1034558874, 454001038, 873782217, 634299200, 348075436, 691546958, 570072160, 189796089, 205578380, 351143039, 340341527, 382694279, 991248958, 373922832, 232028394, 513223310, 997885965, 198712486, 631049961, 837043928, 20970086, 714136470, 1023517183, 26753498, 888229995, 854777169, 798317271, 449552015, 438585380, 306281505, 284034732, 642877660, 831846901, 451800560, 4146183, 501428588, 555236062, 1001276374, 301874097, 113060409, 1025595320, 560618367, 540478163, 310943930, 108278653, 1068456927, 768839330, 753618715, 164129282, 956540325, 47898257, 323344476, 802369181, 515325176, 1061719695, 105155235, 606115353, 164282681, 556458771, 550064029, 736077248, 954118347, 749558122, 59709959, 234240592, 566296216, 502712222, 197652940, 345594423, 487488910, 757252200, 1068538056, 391057160, 904762563, 519198983, 445456904, 119891178, 737578397, 625919936, 229554022, 418627496, 997820504, 366043991, 6153341, 54955180, 849595793, 550730052, 475293779, 133603134, 229633721, 717782602, 767329237, 483749573, 747445095, 381701545, 484107736, 980782550, 178211201, 890465014, 580636594, 316817178, 416120910, 451204037, 1009851774, 259405218, 80550161, 1018538828, 906406580, 631924551, 144508843, 274768369, 578210512, 113089994, 313008319, 177134835, 236221402, 978141837, 915702750, 692939750, 3153177, 1009852865, 331688575, 887877162, 513621331, 486238568, 877169169, 1009830147, 919638066, 812851486, 972319777, 25962300, 120821877, 48788599, 290643493, 216517175, 467108279, 58176735, 856163725, 957773949, 688825149, 975184020, 240713321, 942599227, 478025875, 901774160, 270085563, 1038515046, 3385720, 437540442, 994501584, 1068864323, 598745008, 763084694, 652691607, 978695992, 906868233, 785537398, 765387280, 363379812, 540406987, 691986041, 144970580, 415292760, 25920987, 842356769, 608074584, 487754229, 545734556, 510554794, 759698164, 487152775, 104150756, 222794907, 228591574, 186895023, 1039654305, 247345981, 810929038, 528885534, 853980236, 640120496, 1031098548, 805576381, 1055915797, 677553630, 842236188, 880166184, 569758519, 166434058, 40897806, 122482443, 848883645, 539998281, 838461136, 930712666, 295399647, 738237606, 535063231, 173114357, 369731548, 399201281, 720409890, 933854439, 332446519, 440814186, 593134985, 819584615, 689114225, 149005203, 465981432, 999487905, 139040026, 288967501, 364372552, 462604033, 743106203, 110056806, 17064042, 618935969, 259012299, 673493899, 139135704, 940997402, 833210085, 798426299, 498708433, 895150206, 480553675, 114787368, 958920817, 824572653, 588279982, 4373879, 471687488, 428040704, 899925203, 107249782, 156074056, 657232517, 1068519264, 191659677, 823991679, 613994376, 286717364, 150793033, 445081200, 225295863, 954132698, 867493680, 899686488, 615661644, 875865031, 735807413, 683707114, 448161760, 38093899, 1033397035, 115738525, 593368736, 198782687, 913815416, 759721191, 586853765, 110945750, 347258797, 568017242, 957798657, 246636729, 309487083, 350394591, 764980760, 850827553, 989031505, 212888649, 893947108, 467036266, 574299657, 903947360, 726512839, 936801052, 329001456, 926440472, 299105578, 678232785, 155160219, 844271690, 658733663, 942195514, 1006838516, 46640515, 1065426611, 980717618, 906339498, 797577870, 231362640, 58234258, 872874571, 743409312, 953921083, 457449998, 1009307667, 126274337, 408461916, 797422865, 435787628, 871876677, 590737185, 800985704, 261062560, 502313828, 381739386, 405984944, 450337581, 1020013554, 476960250, 496833080, 611625838, 330537009, 769630808, 496445386, 562716682, 956226658, 192024683, 596546817, 943902169, 793010493, 73016076, 875940168, 617781977, 986109084, 179444597, 330688906, 1033218991, 938639340, 327321601, 156392586, 1041779024, 362119403, 515888216, 757597844, 233227551, 839254106, 816996946, 862667467, 76081424, 993876975, 116894322, 399002409, 201338652, 655952015, 477267432, 170042572, 877812202, 1053500844, 297158880, 341833150, 613705026, 281932535, 792799858, 142808107, 863498947, 342903491, 289420272, 967132687, 249578394, 202015566, 250840447, 565623780, 570276536, 665029529, 816817116, 91805232, 825709552, 991990826, 387219907, 19373203, 902866980, 432119063, 901387211, 241065519, 511600961, 712199350, 991156374, 621505482, 826224128, 440697752, 913707339, 917110535, 716980252, 279734444, 888617829, 174349627, 644902833, 254107291, 363407529, 300258274, 62298428, 440055830, 1596393, 186831925, 1069118694, 991331780, 445829723, 911540781, 706027067, 115526460, 505707122, 833125452, 106677167, 13763032, 162569571, 355550477, 531093173, 422766279, 567903160, 319526195, 126166044, 802055160, 72982139, 1012794470, 360822071, 988973177, 705861999, 772506045, 933008201, 711141421, 548327863, 911438764, 823823855, 217017953, 231638202, 624360644, 466619923, 48894138, 378532929, 882513897, 311330187, 548434541, 414299453, 543502672, 235191553, 1068585089, 307656150, 421219705, 677639634, 526574524, 743775017, 115085047, 326611387, 79835231, 73821404, 170601810, 848797823, 697604966, 304499798, 535743748, 659975335, 655356660, 95527780, 701405179, 434429830, 840810925, 753325176, 359416, 233929345, 62347983, 91283274, 333541438, 808954262, 558659549, 881002260, 878571884, 962984541, 103513800, 1072746611, 882436100, 1047134613, 602624237, 48791460, 89529188, 217840179, 329363134, 257807080, 542227650, 973942797, 258315909, 863504935, 1005310948, 214644540, 735547347, 622388477, 224177735, 305203887, 508430059, 48612220, 133107811, 873460389, 1025462894, 1007172348, 386634479, 401419645, 837185341, 805335492, 1037634212, 701426513, 740792107, 108540996, 555033591, 221508713, 917829933, 255909700, 762527361, 603082571, 607040228, 575908887, 648682776, 755536593, 935331268, 442703912, 25273875, 1045264873, 301350014, 670744016, 660446670, 698590824, 645095871, 868966984, 883331971, 30311594, 433320737, 163410417, 509784538, 632010668, 779847571, 509540067, 444312286, 980687733, 172784129, 375486066, 272700560, 149387989, 426296574, 153420557, 829967203, 969808089, 958183787, 1030956502, 817534928, 499881864, 839850102, 39699322, 640076396, 865648870, 737876663, 475115237, 684749786, 498390530, 2849681, 744083403, 157695566, 498966169, 821440953, 104216213, 926460239, 823203777, 505443814, 459187262, 409924052, 87482867, 371434378, 389208723, 82583946, 149771757, 40442130, 805886328, 415904083, 330782104, 699060343, 983663586, 1058691767, 219614220, 541631364, 7013613, 598488151, 603849291, 659561298, 653982775, 286468933, 418404397, 195750973, 77795550, 157937363, 460589580, 164994619, 646794145, 1038690048, 80075717, 30475986, 161927197, 810551503, 742125782, 949008793, 797634773, 1043707074, 17088094, 381415990, 1040037252, 230108182, 866816710, 224452161, 544336856, 66124140, 653227670, 330356614, 685659476, 58573639, 111706276, 560858308, 748416157, 369098167, 1047333355, 671607343, 802440940, 983607795, 644015530, 846991360, 373648345, 843279800, 30653113, 666820775, 333866079, 448731631, 656983517, 168774068, 1072999503, 434887955, 647006649, 675671949, 388326208, 208935955, 221165972, 26622023, 107659042, 539983157, 458841851, 979178158, 529293044, 30574489, 207640073, 948963419, 183729934, 476223258, 926043777, 311939013, 508293175, 520585946, 1068008504, 17646387, 802587725, 403582205, 528657602, 707458937, 1020647968, 584579096, 398893924, 4694175, 726180796, 319926571, 547666777, 492154421, 945041423, 662552569, 1015343864, 45086970, 630022083, 938587796, 1018202788, 859753717, 404741971, 598780909, 121431935, 604265531, 367515796, 504765486, 75874608, 546602286, 643745917, 164022792, 475935043, 662422093, 566561744, 966118323, 309084121, 614669959, 247454302, 670927416, 232436066, 475429307, 38480707, 780165468, 255817038, 268871695, 960250675, 1774992, 1069283460, 590338783, 742154004, 609255862, 573404181, 705021195, 62449298, 212698550, 1023710427, 742431961, 387644526, 798481629, 428829812, 575878642, 553901175, 1020453537, 966207013, 632412426, 209776570, 395458218, 799351628, 550197460, 469739871, 806471094, 797706433, 300075335, 980249382, 465603960, 164205085, 550352357, 241858663, 925411364, 628451967, 862831806, 817027454, 865766898, 149265061, 667216299, 306949042, 766589397, 693696282, 61674908, 834405104, 172519891, 776599400, 16482142, 296370117, 344594650, 950844295, 573521530, 280491055, 273146175, 635696627, 931396337, 979401451, 23841400, 123925692, 826925208, 426809760, 594737799, 283487720, 444554449, 520419002, 281871750, 604330727, 734763698, 71158186, 616502009, 79076036, 76351129, 356901300, 992307920, 5347832, 230583930, 441771187, 102476769, 329101174, 225351024, 977975973, 1016140557, 633829310, 1039239473, 424461408, 929067158, 893969166, 765087465, 59722543, 520227833, 801028919, 191092888, 533890134, 504285948, 312482246, 1073669724, 778764604, 801123096, 356162279, 818845445, 678453204, 931779805, 541805452, 375537301, 761720281, 868724353, 106935533, 356755802, 935870901, 935232575, 776934318, 711366736, 783918082, 1011635546, 308617377, 1072855919, 30074243, 967110078, 456406969, 550815254, 992798228, 354201635, 992709844, 741939045, 695224566, 1017276561, 564231298, 371180239, 810618572, 668093959, 27319540, 306391873, 1069497606, 621965850, 286380081, 765549229, 487081400, 342001129, 988829123, 920908458, 455168964, 397847830, 749786821, 366648786, 217561590, 37726295, 870904092, 326108411, 885364139, 321198437, 860864855, 175254412, 119675345, 568388649, 510747164, 944298658, 916345266, 50006068, 794824187, 430685857, 854941493, 682567139, 782160791, 955134476, 473370708, 752257575, 365133798, 455019378, 915818260, 695622518, 429561139, 737466424, 143211942, 812001817, 598743698, 189904141, 567630763, 243916249, 583748835, 21386990, 196888671, 1069065997, 839504029, 460323561, 430910650, 336359861, 829920, 46970033, 827139442, 479809113, 106851300, 797875608, 564875323, 877715758, 635320989, 154399934, 961490679, 946967332, 241143726, 294170281, 939791550, 271142297, 852930166, 220490855, 153260932, 376433077, 994621078, 416788896, 355104117, 556858319, 644880978, 659852318, 275446507, 820504543, 29519215, 844189908, 561714774, 903993430, 981697536, 439508056, 55990192, 706774772, 574493500, 599736958, 49644190, 454777344, 879290568, 215192628, 30568959, 38417042, 911096080, 135979637, 121858804, 931125248, 745534565, 997532213, 152286408, 304129169, 1063329475, 91201251, 350935872, 997762335, 808558788, 823120230, 979654914, 760603802, 942464105, 12383675, 547969078, 876509711, 855401270, 912365682, 39351868, 991078774, 50235970, 2005088, 120856200, 508231104, 1037755563, 588600301, 281684520, 419243202, 916931244, 495859215, 598217072, 521873784, 720896442, 997402689, 725949013, 203008612, 432998963, 894854285, 799972127, 496855168, 595563587, 152972444, 785557375, 933330662, 900467406, 1049360647, 241401992, 885392340, 785948048, 91674083, 490348514, 458545917, 727571327, 924464676, 579608178, 340386498, 947439072, 859345536, 143655123, 248708444, 910983420, 453766780, 1061789425, 957849743, 24982723, 79098972, 606257667, 1029087181, 985616239, 869706329, 1041580372, 280936028, 481534898, 121593556, 365242025, 845039918, 436485405, 907245894, 560579729, 725697211, 15294924, 359050315, 836896151, 706786582, 746815955, 117645735, 128682762, 1070986986, 572327553, 698276412, 64336152, 192785474, 198281012, 416335616, 561326599, 763164473, 881080939, 68684039, 176804147, 174533560, 55749633, 438682759, 843451017, 487209040, 391153254, 346675265, 168768077, 579631603, 485414439, 497019995, 530849600, 419503384, 517302000, 917737442, 466053014, 369120916, 642194740, 826435882, 329615484, 838221815, 156195856, 974268099, 61318327, 529787421, 902077998, 572982705, 234961180, 897921209, 595361519, 863666727, 832306583, 338139906, 895174611, 707940651, 214896565, 11312945, 260539726, 412898450, 17633706, 260100515, 1055920063, 79856126, 289399514, 498646840, 136222286, 677068863, 531677101, 1002708439, 905163806, 849858378, 572475404, 127953977, 560730039, 60844452, 784900343, 220033224, 95167562, 728662280, 960812603, 597691840, 796021962, 738628331, 213520908, 540535604, 534253861, 307783277, 453288198, 23278278, 842890403, 990591843, 476551899, 379104057, 104157198, 599114684, 780796121, 1013123736, 64212629, 62747307, 678655571, 76493474, 6072498, 886583726, 1035027301, 609602041, 390002914, 722184378, 763045550, 947842346, 385529614, 250573076, 886228596, 860127972, 133073401, 237292392, 433077006, 401954928, 7082638, 848050768, 197886643, 701457265, 74751223, 688734513, 68562572, 331806541, 824792590, 424537315, 801908058, 655003480, 122680629, 1039394365, 510718752, 1066750273, 126166661, 417936325, 97598711, 236306311, 36575647, 188719070, 74615662, 494906631, 495039912, 551581056, 884003431, 726600683, 526579059, 549120837, 181097197, 181621672, 14812193, 767515533, 949661792, 39013100, 326149148, 749419174, 795477451, 128898780, 99479586, 757189075, 367442136, 979629104, 440774931, 498716270, 193236300, 881085082, 948943338, 97932030, 799944770, 656237590, 590024579, 298691744, 773087660, 886768013, 459764473, 368635971, 372548551, 95645642, 906565756, 959570240, 369608310, 827826289, 115813347, 98208408, 191711390, 460451523, 754396107, 240435740, 636816146, 688550613, 516132480, 1040423087, 954766159, 956011394, 708153057, 690047141, 1054195097, 193219634, 492688081, 158134248, 155673222, 884413341, 162729903, 37057248, 129684638, 667314996, 1044584724, 179697568, 157978240, 74191319, 1059597766, 436084768, 645905361, 350647723, 856061495, 792267926, 919198424, 568228177, 543106687, 18877591, 712388604, 932292574, 1065898292, 424367035, 237089815, 383413414, 67190467, 407723362, 962470769, 535271448, 243525531, 399393847, 451879001, 328509146, 485141380, 745566395, 189495435, 484308565, 784783698, 208584888, 175470299, 435117360, 248098383, 617570570, 134661866, 608134430, 980294973, 417678182, 503026486, 792639261, 433161251, 948939652, 1020645891, 912137567, 671968046, 268543972, 462402225, 296809834, 948209665, 1053313740, 8836571, 1004965949, 593684918, 997269066, 483621031, 1060065574, 786837269, 140863777, 389824552, 1045524171, 153088249, 430027334, 64755652, 817902809, 286828384, 506121984, 576273429, 849889240, 214920000, 498174079, 760004976, 1040534813, 837105226, 736928262, 519279842, 221005199, 234904358, 504962620, 277148172, 674219254, 1050518813, 915055241, 1010290956, 614603074, 244408102, 905322560, 421121007, 916123727, 209584482, 1065068699, 51411101, 920540698, 176271403, 107508278, 394117423, 605768290, 809210423, 1028878426, 935563209, 232656082, 831023019, 840396869, 482121415, 93434793, 422057543, 102819546, 398441015, 808634093, 403627784, 217162192, 66043506, 332687992, 892474384, 568198592, 369020423, 228188120, 384706683, 928353174, 722681406, 348364770, 288141328, 27776860, 1015982190, 648293071, 109359242, 771242684, 10461361, 683512829, 891814427, 983056077, 666415204, 385773172, 934993717, 958662155, 297108181, 1002586270, 782876359, 965482194, 551347237, 333257337, 670840535, 295861973, 486776805, 263879954, 438221968, 1035844094, 640232047, 1052028905, 256626674, 285264109, 922073740, 696788052, 1048461416, 386165250, 508443652, 204567596, 80137023, 1045716884, 616606049, 708423467, 342664170, 1052340652, 732731476, 161215594, 73174179, 308332364, 1068427899, 692934853, 949386639, 794605480, 530231861, 250935805, 591477919, 251388671, 379269648, 933904783, 321703956, 429278623, 368469196, 923365039, 796918874, 378223423, 813489342, 285759974, 560279068, 304460092, 1041868402, 481809435, 696127781, 1053685067, 93625630, 1014476490, 299976454, 843348654, 186177773, 1034726293, 926803605, 198282601, 173049733, 969025743, 833154122, 96180637, 536763882, 529675767, 499263089, 1000137953, 359054360, 566607224, 430930199, 713985971, 1005059581, 960674095, 168429014, 606379615, 1020096656, 388928172, 593972494, 43328490, 321677685, 675400179, 29502029, 963436362, 359146293, 915827323, 693263582, 463185753, 466092350, 482754635, 416355819, 503755129, 733563080, 1010217792, 847388940, 214817950, 736368189, 839790001, 1030325254, 791857079, 771079240, 301921996, 555081996, 644058464, 1014520091, 625772295, 584054005, 839678750, 996487033, 803437980, 588133033, 784830538, 989609366, 803554837, 817848936, 904961207, 786407737, 552842196, 262659050, 447121371, 966446503, 558010851, 435606471, 286759014, 999066836, 1071382422, 830717576, 519931935, 1039311858, 338448048, 508835682, 707615329, 678774723, 597556929, 857949545, 323020783, 770628291, 806047102, 269195986, 473708711, 458541632, 712249515, 966194735, 260042140, 586281272, 55358879, 628607385, 563020927, 1002749153, 55945993, 1050680782, 387457218, 83524415, 376839991, 1001507779, 650350105, 1068764650, 930051103, 70312366, 916433443, 635481169, 996326555, 1004832098, 543774171, 668566311, 262699302, 212303310, 1065479059, 321519344, 325318138, 1072974951, 676901070, 953205809, 654899448, 695079228, 738884463, 246339391, 264891720, 544242867, 99090325, 1031721096, 316485526, 490759210, 244021888, 1044771356, 845980410, 597147746, 872246283, 459626974, 238948208, 462145989, 725301215, 205634308, 507901979, 593297341, 901812056, 64888142, 202699863, 565107473, 166534641, 850606471, 728774262, 159183960, 226081439, 1053982588, 255623101, 862944118, 384277193, 450742649, 786363974, 587016990, 778024635, 40352094, 301409778, 514149691, 216829848, 715038627, 385161526, 211963700, 521887405, 872298848, 644249683, 608266274, 1071675674, 205989070, 763893534, 427873340, 1045983576, 122485353, 946252478, 969108291, 745750083, 771022469, 272590618, 966403676, 866694894, 404731833, 594023053, 461278402, 1027702662, 937792890, 91548211, 635467461, 910060709, 92712899, 62149068, 131288598, 521727413, 189255280, 80098341, 374277595, 913661565, 291595613, 140797999, 860957256, 1051978594, 515870660, 293859329, 393848232, 239693788, 69907, 947263919, 597685764, 834649963, 16078294, 642195878, 535240333, 33573878, 421092725, 1012893056, 64080678, 553452645, 243110442, 294818698, 946819172, 28485613, 912122078, 1000501368, 586771565, 820040691, 1021070105, 968378271, 570008555, 373839082, 39224245, 220122144, 492347276, 65053290, 618238208, 438951079, 272940472, 368690082, 553165271, 983869292, 738013967, 411154910, 102166724, 163094681, 115719814, 337395087, 196759281, 803533395, 907311780, 71269624, 1013241632, 457669033, 788177886, 461358950, 765601694, 958618803, 180169121, 775441965, 963500237, 850379901, 213476432, 668007558, 155849947, 285627933, 579274444, 514479393, 706223230, 1013623611, 851782130, 736455845, 890575317, 4688745, 861112381, 243197772, 1073585456, 834696560, 659196976, 253594068, 412482347, 1072028228, 60497811, 373015559, 982852266, 881464741, 649730581, 931198700, 806073761, 860299570, 144849247, 801914490, 229308220, 319527719, 112657413, 779296795, 468396668, 658177983, 1052194911, 409801500, 440887365, 64784294, 922784089, 82000887, 851293850, 443710141, 615096098, 1047019038, 1001427485, 356004948, 87833000, 602884871, 697295438, 369215099, 1059939898, 425297642, 985401329, 100269683, 900967394, 302088110, 434218656, 917798066, 600368446, 627448146, 699003999, 952794393, 802071372, 1034610584, 522333171, 1022573758, 221455538, 226854860, 582781259, 956625331, 409332835, 801918424, 602114398, 663662255, 664122908, 119109171, 9038737, 495549623, 464348255, 976050347, 926398266, 868522279, 897398735, 921115838, 689342765, 487263643, 589656793, 30188177, 673826499, 1000500552, 759413579, 581386813, 673937415, 649379012, 941158583, 298613786, 67182300, 136153014, 682666443, 251074775, 1011744256, 286179510, 848923239, 694010814, 202505229, 279701709, 952752020, 1011012898, 539327382, 190116095, 1062410078, 850205573, 795812590, 1072529072, 76082574, 792824784, 577034118, 170453779, 633277470, 880362925, 479475552, 817940842, 933469787, 179477944, 879153201, 902411280, 887979703, 789420504, 467601944, 355915031, 467619409, 703523306, 885578410, 387685723, 983638850, 857891947, 295637886, 589970094, 704007742, 538775091, 947667335, 889906133, 867755760, 798534047, 916302479, 214672629, 859245450, 284284934, 761788064, 55826706, 566690210, 156670059, 578241654, 766762114, 609242419, 27389499, 27278028, 1032575963, 884772865, 906891042, 30968389, 717318090, 188043203, 291318451, 893634128, 857977530, 651877254, 415453455, 108530908, 548302021, 246469547, 12485477, 269661901, 513936296, 435262359, 594795520, 832593834, 233209088, 573900886, 919897424, 1061697915, 594253138, 347393137, 216591012, 738003768, 747164889, 1069399058, 1010219736, 971778617, 1055527970, 420554534, 533703218, 180442403, 857117833, 663128148, 235985958, 805911183, 805811860, 330208919, 47719276, 19541204, 594994139, 78251995, 440664887, 580077121, 630519588, 380227288, 62077993, 263437582, 42499648, 244479317, 706331033, 69847897, 506741005, 729474234, 23753289, 751887456, 212732284, 119172295, 919867875, 590487327, 1057408, 6927967, 783028186, 245818305, 355586655, 233263336, 651092887, 320026798, 92259588, 162789500, 579166415, 918781606, 132845302, 894782773, 846716736, 96674822, 291635518, 801276661, 1005652853, 186332264, 464759449, 324918254, 96845613, 379360135, 815417077, 292754465, 277794768, 167065726, 155358060, 150866529, 14754754, 275936041, 247889436, 927135416, 184240983, 1058097370, 114177707, 494434361, 668470125, 877992934, 190993918, 118778249, 303727095, 830458701, 462073176, 958106968, 37076537, 416149574, 848888033, 77346094, 132257872, 790070074, 313549189, 1028474380, 119866864, 332470324, 159551572, 650750952, 307649761, 501325596, 535884763, 180037296, 632578477, 397629957, 410261557, 831865505, 891939985, 116983129, 191805826, 144910283, 1021861832, 279384005, 258997549, 619713564, 689501642, 200274465, 141748167, 952856656, 53431410, 1036207100, 308162574, 468829885, 534013007, 216291699, 1021170297, 890638422, 70844270, 689306629, 492176275, 841632136, 15084638, 117217647, 176715629, 21132590, 78962505, 73304001, 172549504, 372234308, 995182998, 164738659, 851730015, 709116175, 829229092, 544590918, 312658677, 1015700820, 517343113, 860973530, 477988643, 885386011, 904535444, 971679170, 845408085, 558766145, 453720181, 719751782, 191220302, 1054733670, 680447064, 878950912, 24007137, 172932208, 311180193, 7173331, 310265708, 95505601, 178604931, 464855618, 382682317, 878902815, 796996771, 310878420, 1060978112, 144746569, 647325179, 319105106, 1001177967, 655792380, 613804103, 494053910, 261165653, 945661564, 552064192, 79379849, 4082780, 909868529, 809944382, 851362540, 878639130, 853531388, 974180796, 786520899, 272800600, 199338901, 278676133, 423112628, 118400405, 552714846, 651821678, 986809893, 408319374, 422051353, 59460419, 723595815, 322581923, 538687270, 250212992, 545840518, 690106684, 635573130, 890995508, 613285835, 705298163, 527146071, 747494614, 188863009, 267598996, 925590566, 54425469, 252274775, 771975913, 601569770, 883666508, 1036630255, 450915393, 672205280, 539864302, 1063380692, 399956401, 198954132, 378872166, 904658182, 999927058, 917169560, 521137245, 131167002, 970683802, 611983867, 927319819, 152728355, 591315357, 451041357, 962897063, 671069148, 547972794, 692286694, 514670439, 871862361, 576279082, 225303470, 129882628, 295829793, 872489112, 720235153, 68903241, 984031839, 998714986, 1015400395, 813817099, 1028056973, 185376830, 655553520, 162979176, 402085037, 281669619, 141751396, 331962872, 77784792, 61789934, 963031108, 7440592, 809138374, 116681570, 969286819, 37947808, 565692190, 191875611, 979182420, 725695107, 108369903, 850823454, 1030194235, 98250782, 276451121, 593126232, 852775962, 352979791, 580253328, 107572215, 698840888, 278888620, 824326580, 1058114630, 693406633, 218013048, 542798568, 367934880, 299964437, 562045425, 282413798, 444524607, 968759940, 22353354, 939855614, 291293989, 1072782846, 820309499, 547211884, 405943254, 71024776, 749715524, 902999891, 991431915, 356367967, 737524050, 78979037, 367881287, 777364889, 354144329, 287938369, 607871266, 754173947, 469820534, 995140781, 319987310, 579189621, 812677988, 935382138, 1040150471, 218403697, 518621213, 156581200, 102806909, 188933650, 659021837, 894968654, 860791338, 201790999, 902993073, 558483486, 809948926, 638936162, 178962600, 89233226, 812016439, 370714057, 322932597, 183685442, 838777175, 53160280, 1067091963, 510429070, 195802018, 481694600, 20074373, 1065844917, 886458187, 501333953, 951429026, 136269007, 36746442, 701735787, 523372152, 478316540, 795939588, 511074076, 747564061, 49426966, 428105706, 494963012, 544152915, 548194888, 470142956, 704073163, 598201788, 573472479, 68458749, 920846030, 44124168, 730454614, 868877345, 983930995, 295078025, 920623717, 932963067, 917537264, 828677771, 854858927, 27440229, 92115543, 1049273168, 828581439, 62406903, 274427993, 440791758, 284906917, 554027070, 519733597, 423563005, 200798064, 635543710, 34789939, 60666658, 963651820, 994970588, 1046184513, 805260429, 80009733, 831701287, 677230930, 721492357, 822139538, 732474622, 90455958, 724963985, 753424390, 208739827, 196147750, 828604793, 655834168, 814880380, 819232100, 32482825, 930531743, 772703413, 147416442, 149550282, 458708883, 638296512, 821579900, 928423038, 596314427, 816411670, 616570671, 815798886, 392061938, 522818951, 276158038, 705293218, 275100819, 1038139695, 750073459, 730334999, 5364706, 750298742, 106844171, 224660715, 660169938, 655422142, 257239832, 149329545, 966696454, 59082082, 900324808, 368634791, 824286716, 1013896001, 891796931, 333275813, 760892463, 662454925, 590969406, 86104911, 684609833, 449124750, 452400506, 305439154, 111991530, 88281146, 882153439, 81720854, 106374558, 176354747, 239595329, 303440970, 319736517, 1031889939, 374005886, 1047953279, 176450584, 1011315932, 187933275, 506646048, 85632058, 821048974, 367743530, 1064577513, 1009291683, 283779874, 246978055, 175088003, 489359789, 1043200144, 826124266, 551703507, 297527205, 136233913, 1034577962, 824337232, 46344396, 515003245, 354548728, 428627699, 1010026930, 315433382, 93115669, 125160020, 664911323, 114049365, 198911140, 696996431, 287602816, 448320596, 761985999, 1052243824, 637227833, 262201734, 341351312, 16760676, 436414528, 442025266, 875038696, 407083050, 340382903, 808577592, 236393021, 711235180, 1061090126, 421841215, 216804763, 853568796, 202407269, 749800162, 935375381, 120689788, 1041109241, 1056680277, 93061461, 677998751, 253684345, 932149470, 339436648, 222054439, 906341056, 572740281, 866560765, 1008683195, 235520055, 124093964, 718983602, 12989508, 223089670, 743549404, 585404124, 494997307, 518325763, 217746395, 510335402, 2929512, 432139751, 760153343, 47309286, 791133946, 926225498, 935540632, 345306401, 70903458, 598089735, 791677846, 90465572, 765707282, 38000623, 374211809, 18141135, 606087845, 530374574, 179643579, 793168051, 795175691, 947478607, 516575680, 882148090, 821472490, 681555259, 1016879972, 629058621, 390790444, 166389199, 600110992, 527146820, 721132095, 441081120, 1038356886, 1062151485, 1053668128, 1051687935, 202430176, 259111883, 124334037, 544096857, 71740219, 947336824, 847805949, 674428662, 883020748, 648026165, 171252190, 754736134, 719927200, 997602414, 651138469, 989290363, 178293415, 876211755, 301417553, 466512617, 503922019, 800041980, 694703664, 348788830, 943778976, 1037365306, 59134177, 396938906, 129040288, 621297009, 106815544, 187663233, 612630559, 235012660, 148811553, 227784949, 907845059, 789542305, 269351370, 535378785, 159378606, 160184961, 121503002, 1054342711, 405255047, 102516637, 286240563, 626326384, 652924236, 966736699, 889182677, 647238624, 579921407, 66837996, 566571856, 845892928, 835108425, 363668474, 257149748, 1062452088, 1029015349, 88626512, 287577984, 63668456, 469560585, 145711298, 806509742, 215018924, 117043570, 92197712, 46778662, 194068166, 815184578, 528180045, 854471733, 825252790, 816058292, 553083318, 1066761171, 221067130, 654287166, 52576542, 915585132, 852409971, 275267884, 434926170, 79646262, 135069231, 301792932, 74142443, 384819060, 338032833, 406782212, 570815081, 109135856, 270178698, 815925553, 711840447, 654729773, 835621138, 567083639, 664380899, 362769777, 246363510, 1027025172, 294636879, 494046626, 1061388406, 497021340, 7936761, 495854260, 214049094, 95831752, 654884624, 62038880, 125752449, 818740874, 740834129, 903289314, 676054270, 737810187, 839597023, 157483674, 179282553, 301263358, 21692321, 797950174, 168294504, 368607309, 111591444, 997377739, 221033202, 738353941, 473197853, 431782879, 362691208, 150925248, 153918192, 51007528, 592520581, 367215570, 863177483, 23853876, 7808453, 828296042, 893356958, 159659885, 861866070, 276307850, 82345420, 725149696, 979906284, 454143442, 842428773, 327627858, 511888633, 748190114, 247498196, 684477491, 1022208791, 295428320, 635973102, 272575034, 371662050, 841303133, 603886250, 492781689, 698877781, 493619539, 311888776, 561633765, 329227232, 782972606, 307420675, 755626052, 613370526, 264769685, 256717358, 67881180, 674164915, 220500880, 553877374, 653762468, 31956842, 639673073, 311310473, 715545872, 427160606, 461848176, 831218655, 1041821584, 45204151, 877139719, 312266716, 420902799, 965404282, 59091189, 617948009, 389550126, 7987474, 748164270, 794452505, 883545146, 568283696, 612004156, 329710586, 127533381, 651016089, 590257072, 250280401, 425375072, 542310718, 729140057, 1062509776, 939985411, 985427565, 22191186, 747068815, 582376553, 290835001, 527287514, 562636534, 101281634, 900936865, 634726271, 1022799243, 284987504, 956949562, 708430886, 416448446, 957266371, 110030000, 283354480, 1028609806, 28688904, 375360802, 356407731, 222523304, 329113355, 288104971, 465880638, 670238900, 281882979, 181578322, 238744133, 405364415, 54288946, 1072043044, 644140406, 111055962, 396366078, 13412261, 25368920, 103243624, 783989428, 1044823672, 909806323, 619449123, 750235093, 60475312, 637411983, 311472572, 631028131, 736919271, 894410878, 495707462, 512526846, 129186431, 848919057, 662228235, 190072536, 586206202, 175375177, 810094382, 611224730, 1033272184, 714914141, 790413327, 570776453, 1060232988, 127740800, 297955788, 606649277, 39281444, 432468653, 202217786, 664511406, 560714257, 697745660, 524215299, 1023362767, 986888293, 760572579, 65490665, 976727742, 930571352, 725300559, 826539906, 176220604, 558389334, 45051861, 38364282, 173908212, 144796939, 568207595, 934519240, 794790961, 421837542, 94687703, 334187239, 420054259, 761063373, 332411998, 795847085, 284670558, 719703364, 152397368, 906995304, 455661347, 78554242, 641951970, 276221019, 703599583, 1093738, 839186477, 20712727, 820914546, 403849619, 583158643, 307182671, 1017557277, 365146325, 984677527, 135813295, 384291094, 259467679, 510944066, 684934079, 743791673, 57684894, 137512561, 1037368206, 377632623, 933602324, 448245743, 1039294051, 477949287, 340872830, 518112928, 410274231, 1045854748, 538952840, 70849687, 162006738, 57639869, 327680702, 761251433, 710780811, 710611255, 288861900, 150282972, 1055427194, 307573108, 137372597, 120466722, 306755464, 99219508, 954677619, 303468091, 381541919, 352635407, 861182916, 930997543, 48430996, 1042710315, 72399076, 588545126, 196978397, 46934375, 294409251, 914343170, 767480145, 990443643, 210163789, 1065691944, 309154742, 656234411, 603031556, 352532653, 228245423, 847170824, 726375488, 261146850, 380298323, 896676189, 663153171, 218566502, 663144021, 182375982, 1041133352, 971092524, 273538672, 163615796, 358558286, 164411376, 25448956, 125498034, 967472441, 1048384492, 424295418, 969043852, 705817659, 305595523, 999076494, 884724263, 264255881, 526218885, 545833087, 956172626, 531304266, 862483026, 154164289, 499695063, 947112053, 629216314, 411947800, 920112406, 65796086, 429685479, 29034645, 697902802, 963713736, 744043143, 195905735, 454748866, 897125004, 165112736, 992728134, 890475812, 371023130, 656330041, 429018246, 726953695, 278709189, 525712508, 127194709, 631676203, 250953853, 212296707, 963583050, 635521544, 468715696, 757088716, 558022467, 726329668, 292326498, 67357506, 875241306, 66501718, 49068540, 20237987, 164334769, 996586700, 10279504, 347630283, 398731002, 19451342, 782514297, 657957553, 980330944, 928398967, 1050233311, 1066056346, 264250901, 810292261, 253237232, 1030972894, 208338083, 276354766, 155427978, 410010520, 260434963, 115145721, 864573644, 864416257, 559074025, 1000715146, 814043953, 528950046, 953336687, 1007564836, 46274860, 626141646, 505027727, 76546774, 774648306, 363893236, 593039058, 786391281, 562812739, 9831501, 297699012, 684138991, 391011256, 427881890, 1006583647, 848613859, 116889719, 203914950, 260583450, 442130687, 475808370, 657227532, 334419313, 365400904, 245579078, 812562175, 270770925, 752458005, 73854901, 968890762, 918838043, 519708559, 756516403, 306157146, 776675383, 8327164, 923664422, 670655478, 674841538, 538568507, 34131616, 257963938, 545254184, 565287295, 701133640, 170889316, 748737849, 737660989, 630988430, 360696616, 112863544, 961912560, 637777536, 286113831, 943487518, 895853272, 1058721097, 252718824, 153537330, 971223422, 88553894, 1018090514, 841423740, 560719784, 631680733, 255180507, 308114486, 617119292, 32224359, 1072844877, 1071801023, 775105200, 140655830, 805499139, 895810074, 935150720, 594394188, 1073360758, 464606717, 1039444268, 554499385, 112031267, 48638243, 987651750, 1001221747, 481591523, 205465310, 298289067, 312263421, 853587929, 1065924215, 282559466, 366118832, 119162893, 297217338, 324866067, 801675331, 196394705, 133916080, 932232934, 498428311, 727823146, 285669117, 877506043, 56295701, 648294435, 991527280, 200334398, 849295913, 505928924, 505002975, 400898117, 567009810, 499575964, 234537464, 616985380, 203598895, 903446854, 410501208, 785882068, 724678616, 761236487, 546729454, 13422052, 1027796252, 165794966, 560023912, 677115688, 419608191, 1008166381, 161423886, 864711677, 718274621, 54314128, 599129080, 180147731, 271831657, 489504310, 34552159, 608667645, 18487938, 492302264, 256807235, 13478023, 791790960, 27075347, 838714916, 280641891, 740559360, 208134524, 521048141, 565465312, 298230036, 580868716, 285332973, 842470314, 64238491, 741146642, 841049415, 451252964, 323685468, 250189981, 396947349, 41106667, 416699830, 794830698, 702749796, 657072872, 52647286, 227968273, 568609161, 307805145, 984583510, 501621191, 50559171, 649553405, 465439502, 210652058, 857964877, 262879692, 784001125, 1064238529, 18599502, 652362908, 327568145, 955272387, 767534018, 301211558, 601396158, 833573899, 604461797, 937225948, 1053193066, 287043753, 514078672, 347224939, 183981144, 1025696074, 795624116, 386588188, 65671373, 898992870, 937831990, 538870700, 687772627, 909916523, 681154686, 540987887, 394722920, 302381368, 266474572, 269286489, 891394581, 992876022, 82106149, 225413561, 411549997, 621106040, 350729698, 726522185, 889893777, 743942735, 265502041, 590792574, 238093928, 882077943, 49546961, 607720108, 978620859, 526575710, 729288789, 989031862, 162944587, 259552960, 820719820, 842350561, 1044579410, 891368590, 409664964, 745244346, 149183271, 97757165, 436476439, 765427450, 92273556, 880065616, 1003038499, 966169199, 300038544, 1030502148, 685296715, 623530956, 371136327, 675826605, 95085560, 738060722, 349561115, 648651481, 992520477, 989072863, 486610985, 348563989, 825914330, 458899128, 159826432, 1035288136, 990851584, 909836712, 207458766, 997516735, 625364289, 522462112, 1022677502, 639262884, 515520903, 29152619, 700289555, 260118610, 84977742, 244598228, 723454987, 185916374, 851388925, 189902566, 869211350, 786031039, 190888803, 228991701, 123924548, 654981837, 590589872, 33342662, 468798933, 124037307, 388142439, 957441751, 15388295, 456122517, 808050962, 1064981433, 853776112, 1012364977, 92969951, 663748814, 149808022, 978350737, 715430924, 451445830, 161195708, 325269970, 1030145204, 972516523, 532521445, 259063789, 487549310, 854932148, 598313591, 1007276398, 942050645, 554651082, 109019473, 1030125650, 368485432, 892915390, 713649891, 272540158, 333814440, 632720471, 540847932, 754299207, 690869209, 498394725, 380756549, 134216645, 276799378, 545390377, 698182626, 871988567, 1010259879, 488740018, 13764366, 12002098, 409951659, 585394931, 278350875, 709021726, 411260832, 330938415, 205531285, 931794533, 8070445, 335417430, 603654174, 635549947, 40016615, 481030358, 600257647, 854835194, 1055835912, 276878738, 918686170, 515376115, 325546099, 531272258, 570417611, 800639657, 35897833, 747222520, 980808982, 470181463, 102298187, 668102228, 140169774, 196690195, 300450890, 182027036, 441924642, 989050055, 1294337, 127185309, 794914326, 300132806, 904001952, 270720069, 323170813, 165642679, 513987800, 1042088726, 171067632, 460174625, 440356837, 16981892, 938516827, 818162233, 845238745, 894209460, 633652756, 624456429, 913097958, 1064053127, 802731085, 572627234, 645438586, 301140930, 200163789, 134914689, 693779068, 404811413, 1065817553, 324202311, 455104451, 35173353, 327003068, 106484214, 848903272, 616299716, 991049228, 705366906, 782271169, 157551427, 324499682, 653855244, 675676070, 929591749, 94831960, 204741381, 730757684, 823253966, 9973910, 274051271, 670785451, 1006779218, 81417804, 1004711384, 486712560, 48397902, 82678999, 939720068, 502849884, 1000098405, 533374595, 112297702, 271933301, 569494175, 650249407, 970449801, 868466390, 457946559, 637671407, 775414953, 9674838, 379302377, 588494549, 428487913, 968614254, 184389738, 764537916, 1064218566, 830392292, 759204571, 899626274, 727583263, 402830779, 341447190, 386010753, 416725322, 890333062, 301376506, 786302935, 264185004, 599318045, 185962989, 325500188, 576410587, 1035583609, 86848837, 433536693, 22013669, 1051199016, 222324729, 664041403, 753094709, 900101114, 835451786, 651557772, 124085736, 835216256, 237680822, 545507609, 474955370, 779387960, 378870238, 893568678, 59366424, 597878530, 128248580, 623742544, 161016050, 297538281, 561599935, 85097424, 258242960, 162042302, 323760830, 770333613, 411431738, 968967071, 530087151, 57866008, 637870311, 949531984, 21300549, 368998383, 608928050, 851039550, 704982780, 1040208921, 900374911, 81354066, 742722609, 706960348, 790321780, 974012316, 417578912, 817400813, 230434267, 527841641, 267099585, 519984680, 792541622, 624889846, 645777980, 9986410, 364130493, 843300580, 56305610, 186432954, 847558438, 133981688, 443754736, 397514797, 153153931, 261881666, 534741133, 140904980, 66097992, 708968268, 197054951, 488911235, 1048249873, 139185614, 105236886, 335581678, 205361297, 110056222, 692143801, 502999073, 437518214, 247616681, 79253791, 386952161, 171283212, 761232637, 573133727, 337695125, 670256558, 167266975, 327201291, 695801602, 646563377, 892341635, 410798758, 148867337, 36993123, 211229765, 491713671, 1011457340, 994903605, 1046093487, 99070019, 207550094, 137525550, 890749997, 404061467, 1054553037, 79188007, 302697313, 138088922, 477084207, 964032224, 658748790, 1066963553, 451215308, 749272390, 385449072, 81641027, 213297450, 885161171, 490796615, 814264090, 554935026, 911915465, 995898401, 724055135, 356012426, 420184227, 1008688107, 302732733, 201967245, 965609835, 301176526, 993088625, 332446121, 938467816, 663971510, 446626362, 127051615, 469687116, 441195949, 555206280, 811410328, 575181940, 526720260, 125095660, 221434611, 1025099733, 657099649, 169514195, 620148246, 562907237, 523273373, 827464569, 319047597, 890507243, 683709468, 821176021, 773277654, 705639531, 745065530, 753352230, 1001632307, 703435808, 775142432, 871685748, 994507088, 79159090, 76552917, 717509533, 232149067, 712445145, 422686505, 924065355, 553798677, 667410314, 170532698, 923293348, 205232778, 354770303, 364915603, 181380481, 146907372, 93410136, 1071006354, 412864063, 407223227, 403124673, 118438408, 370330317, 780740478, 1017219674, 785901603, 934309297, 822303928, 162216551, 510549491, 592718891, 1062029813, 892131011, 76481129, 186676960, 231110705, 13296855, 107419911, 598060010, 807280316, 770886851, 597440076, 390538813, 947131327, 1071780002, 22180429, 472555608, 205538635, 108531043, 354605949, 720771337, 231866483, 10547876, 697452625, 333148499, 278399228, 843547976, 659090042, 275820134, 750534595, 960840439, 882829165, 337173139, 311268528, 857893975, 540983403, 56925657, 802167157, 234126900, 695802031, 579723030, 978834810, 436444298, 843674611, 815916914, 725115045, 928532098, 839643481, 97265185, 303906346, 79122143, 653519523, 52688287, 868979067, 737383804, 493359511, 983061125, 930545464, 424327916, 151138454, 359111119, 569084862, 691869314, 134164155, 325275474, 364817203, 235459025, 228507790, 432967869, 68973515, 995791586, 889214161, 1033646635, 874159169, 668235340, 608827869, 954133536, 1035866799, 296857459, 287532544, 532848082, 1030332916, 55345281, 435011606, 559445220, 815329902, 985808225, 328756996, 255919506, 240267683, 525165705, 726956152, 753991452, 1010671709, 841831707, 592111590, 866049101, 605253449, 85325839, 25682678, 17437206, 231708910, 16218285, 9178867, 158091854, 222827435, 120139260, 151179298, 331202502, 1063199420, 163966695, 989533196, 406499030, 816564470, 151567457, 819043632, 436359599, 263420390, 461968327, 929581883, 429084730, 264333354, 263668676, 865565531, 603600861, 332263430, 844494208, 57548236, 619697412, 294984993, 299554798, 662406796, 557100745, 81713213, 864444076, 382468825, 860679743, 882830208, 294126809, 724383456, 786033000, 247698036, 293579656, 982713827, 1021974085, 288618634, 487298858, 304146567, 637339392, 908855088, 960867517, 671060342, 714313355, 793466176, 235127077, 54134572, 104892504, 721669808, 808387074, 375682353, 415356533, 800178022, 995602206, 927863149, 174099605, 684488527, 913104666, 794950285, 746898346, 732919658, 1051846380, 412074367, 569217987, 1013273538, 111818520, 544499818, 182758777, 447105374, 1036149300, 751707227, 69254318, 696222084, 624629370, 152517685, 222094239, 493455892, 331280748, 277866825, 838292618, 720274116, 944149797, 933429490, 278798657, 377254478, 848392839, 419385463, 774928385, 458566490, 732110703, 189909171, 866308024, 496395856, 825376351, 611945320, 830631180, 73899890, 795888766, 431244384, 680534871, 1069397334, 940516572, 55122998, 876531257, 662458699, 990445427, 595457668, 773620800, 1019602649, 1057957154, 1050643786, 308024137, 52936034, 77028660, 833800470, 364784986, 318443889, 183797152, 458769372, 120764703, 468702658, 490971561, 511698286, 605032679, 366111175, 478598039, 650041021, 930530674, 419058361, 772436129, 307069931, 616618814, 477295197, 298593778, 526954775, 902044826, 1003016689, 650051790, 441827074, 791218872, 745987208, 279449796, 234656178, 1017873473, 411076058, 768823079, 143767254, 567165625, 849398599, 234872071, 958574323, 255271733, 717806300, 912048718, 561912419, 229318300, 11579578, 717822170, 923825455, 5937061, 847176653, 495703879, 124897569, 896506461, 790912057, 463288008, 499111558, 1029478521, 161733073, 16455800, 77849476, 380775749, 235873706, 717993782, 889258310, 20053896, 172497339, 71178734, 262295001, 1037869044, 753458335, 712788540, 718036084, 146187996, 815641720, 525649288, 485123755, 348333752, 968418005, 358563441, 626728068, 254468091, 83561895, 700903503, 260581228, 623946659, 284642128, 347860503, 806507989, 561568318, 1018639749, 1057874225, 437632769, 854478469, 884126155, 1037207629, 214655967, 555118788, 90926842, 955208775, 20094864, 640400069, 334629125, 820471654, 378810410, 907296067, 447635395, 730534974, 474689408, 597502272, 72471456, 71613109, 594839442, 1009985545, 850293778, 929470791, 633504864, 567391877, 968782312, 168420802, 875394071, 593172506, 95080725, 667274623, 346348638, 250122621, 511825027, 1018523500, 572058135, 810334480, 88907219, 17211100, 216516614, 182778928, 926654183, 518763144, 485362967, 459428180, 261098560, 764401434, 576565344, 77181489, 339040899, 433554853, 406245175, 375487950, 670255734, 882188143, 78429741, 197999782, 872581677, 883913730, 379531623, 436408234, 275175642, 833844275, 502933710, 382314952, 316360595, 229435363, 352078703, 24846582, 828809392, 439868074, 491121504, 212921649, 77358125, 50957653, 76139202, 412273549, 321794595, 750127428, 542794995, 278564016, 458797664, 524882078, 353489861, 843609915, 744253315, 5516059, 528998722, 283061892, 385248020, 877715283, 45505930, 384398303, 100063167, 201244479, 794509855, 834746587, 378514492, 625238602, 779648413, 472854637, 351142364, 798177307, 699539377, 589778674, 597318523, 463090342, 984789880, 388358193, 51979226, 725111306, 42500073, 735046036, 167425992, 901357100, 368522772, 554978667, 659770225, 1015736154, 989024703, 302759757, 699978996, 470147806, 404896423, 244210986, 90092397, 919686813, 890089091, 291217851, 249743226, 383625858, 324799115, 464654120, 498818003, 175974653, 989501764, 1006744079, 748041294, 32373304, 991360431, 593222170, 618528276, 585556941, 400931433, 567657976, 56064226, 411081380, 1060069226, 999150879, 378158602, 807553018, 531078641, 730840847, 1066798536, 539731798, 125379589, 322087078, 776551015, 706140237, 817922517, 171900648, 587469617, 418108127, 465547870, 881454017, 145680324, 1012642850, 56900961, 316015890, 339453524, 755815284, 495677323, 44053022, 379205038, 712950278, 145989562, 638576161, 651497363, 750782220, 256916865, 747634745, 177620948, 456064439, 882988312, 753435435, 306326581, 32945594, 317352951, 325056412, 627603183, 112185101, 1053195881, 743165930, 280711914, 756128386, 526523206, 331456968, 1055601194, 968950276, 442408679, 390535006, 380741040, 346644467, 253152936, 161624672, 805977094, 32369504, 4197288, 927892874, 63174754, 696633540, 369602249, 860738353, 160238397, 192042148, 762539312, 616911851, 516851785, 9354057, 435717299, 46185511, 756649121, 401311455, 51467248, 230882924, 231853206, 737637046, 899163546, 719075349, 504005949, 100487479, 1041338523, 934281024, 954760380, 326663650, 686838848, 687768607, 801038241, 880079536, 399843411, 96261839, 29817812, 589026829, 91736781, 350993230, 649492031, 607710335, 427581571, 860508880, 538924569, 380989195, 878779919, 212139822, 525752328, 842633642, 623274782, 863989949, 141805471, 272212867, 212299272, 968444043, 778507396, 794326754, 136127784, 190596771, 6955545, 343771899, 1024637754, 142539247, 572612474, 524367504, 824253514, 474711499, 130019501, 1011011972, 252569309, 874237603, 189480365, 935270267, 706431861, 673972142, 124397155, 185171779, 664305912, 782442592, 536279134, 465745062, 678730792, 680100843, 481787667, 190340045, 377580004, 508657065, 274527882, 166142538, 341027995, 105155789, 848943184, 798775371, 889283526, 154362172, 76071354, 346502421, 409230241, 135190976, 1023130358, 259206030, 837228193, 665326445, 269839004, 90571066, 872672555, 337051111, 332493491, 5094807, 598162430, 378630352, 140024846, 492367545, 585979259, 300067258, 782055083, 472751074, 73585349, 691225019, 954469899, 144309171, 871535159, 346314141, 169204097, 934832584, 926497700, 264016947, 569289547, 957766966, 245728483, 279242566, 633701438, 39142545, 226231735, 110704577, 293784868, 207580925, 802139628, 137422433, 996641891, 864884674, 844569260, 134319852, 745938187, 797144943, 406364362, 632311065, 952626095, 516387326, 510313508, 943418193, 524189977, 91945122, 588392071, 74546807, 124011007, 733648525, 1043282996, 333772442, 610534928, 874955363, 243817753, 722846390, 206396518, 868086769, 391585822, 497800026, 372293128, 825395488, 155781536, 224708086, 926883242, 306030698, 157628593, 549697230, 525570225, 705400538, 558552472, 311247083, 712020174, 820501641, 654789945, 781641095, 330105811, 432507546, 11922208, 346524574, 976948148, 238798644, 611333129, 599514650, 520570711, 536439467, 911809936, 666746086, 54960448, 264149877, 281922124, 1029912906, 88019454, 348739274, 765483889, 885610206, 348643291, 406973519, 462304535, 20391327, 1065904529, 937871345, 720794336, 677860923, 267340901, 796548470, 103017632, 145039771, 884264310, 107030722, 40966090, 98701965, 971134778, 950449094, 692949768, 779079457, 312887445, 943797603, 331160573, 406473161, 895175250, 698473059, 191497148, 135235135, 676051938, 944075995, 369498825, 497960920, 827909733, 365368402, 203297785, 1040089631, 210492793, 742281909, 752460878, 750981253, 66003789, 388875450, 54721715, 137688221, 131807744, 479330594, 250379811, 653737102, 255438772, 121425004, 754402264, 943097590, 212567864, 291425350, 883975864, 605591994, 314835025, 971664295, 1070795420, 1060090009, 221666210, 394111775, 264398821, 270653045, 940822005, 680534564, 317689451, 711913542, 838213662, 329463996, 679804977, 864063603, 160056043, 752497389, 204481888, 866566745, 12642606, 172158924, 439869053, 856912375, 944440236, 517181750, 194155937, 584118700, 439745338, 515474144, 15839713, 716697199, 859822391, 949246858, 40349692, 488016615, 284323195, 862416759, 293608131, 863567947, 576357729, 830384481, 497462428, 207050848, 417820310, 429331363, 262594364, 527110039, 183029927, 635745866, 336299373, 812943043, 222360639, 1008758412, 1026349497, 837672167, 9167493, 995445226, 808642123, 450697311, 577581126, 858915967, 279866403, 514624799, 982609030, 621908824, 964583275, 855056748, 200208557, 339909641, 618687836, 677255011, 318758257, 877118512, 737589632, 1052101864, 146645367, 7538533, 466041368, 1044602317, 1062528809, 408862182, 149138955, 874743722, 610075832, 504958918, 144634538, 657393019, 98458444, 178292979, 41980702, 466801468, 926007280, 288166331, 758528741, 420962098, 739903268, 541374539, 1001393263, 373462484, 264148664, 940768618, 954997512, 294168981, 105031191, 996979949, 451740261, 136742951, 3155774, 156162641, 249264481, 126753639, 138807683, 418350337, 412220108, 897912279, 499306724, 501941118, 941867136, 205880122, 725417834, 699924235, 612575401, 707362420, 304608, 483353091, 662739007, 817342012, 877688608, 704489751, 555671666, 730227509, 1073300767, 446293325, 633781325, 881769975, 6352609, 785963693, 354332660, 837416463, 864001983, 547715582, 355340363, 650837071, 715504252, 850926011, 896193357, 996757171, 237030386, 823672700, 305324438, 329349981, 128725692, 42662105, 110775533, 732276542, 976190706, 221194705, 687397915, 191094657, 343487324, 830084078, 773442261, 486142499, 873856501, 554566222, 952247808, 941238415, 316308945, 623955460, 709584140, 549557525, 630251819, 451739164, 557870290, 180466371, 516598203, 410342724, 601429212, 326560127, 715412932, 94153238, 1033071230, 642249117, 543851135, 206353123, 195314798, 923009566, 459793294, 658250302, 545873665, 718004172, 510870794, 656463059, 183607077, 1058945582, 917109106, 923328992, 916720318, 437557397, 219204976, 393783981, 518587307, 379546353, 629026662, 672107415, 774318501, 1031944709, 236698068, 119341178, 294020915, 601794699, 707092965, 362877214, 178009495, 297782810, 559712696, 805694127, 457573878, 461539725, 684340636, 823660001, 1013725147, 426839288, 520063626, 90500452, 816482451, 850996418, 5772188, 580656933, 892855429, 416472037, 73291419, 297933364, 92589479, 882684934, 1050488265, 393404995, 1027333225, 403114227, 85704944, 249288698, 837509743, 1822146, 419477022, 814771944, 400128033, 373607946, 538972022, 849873448, 386239393, 338599783, 487137350, 832696355, 464362580, 626671930, 420045821, 550054074, 505116180, 803262231, 298572612, 394720832, 180298695, 1022699695, 381517012, 39949769, 825417715, 409638316, 814528601, 218392912, 989050646, 633478739, 528603242, 548137597, 32299959, 437686763, 944728758, 493474615, 1023015278, 937916384, 702865103, 196617695, 544689607, 813608809, 764378791, 1044770312, 961028405, 103925315, 968989565, 248411991, 169862847, 166538851, 116262719, 390292892, 890319306, 958171922, 660084759, 506220425, 299798781, 650385422, 252603335, 440839042, 949679720, 723079011, 527675320, 76094198, 811841530, 822465017, 156488517, 656909637, 736063905, 1070717093, 722676380, 699214756, 398953841, 388895442, 279381650, 330865023, 755892792, 1073096584, 335971302, 599964698, 626821949, 878396500, 515783164, 978976079, 566127651, 370549820, 469329017, 145100642, 1030740356, 440265915, 758078469, 420924801, 752568729, 915835616, 8691732, 62782690, 649483034, 671471471, 692764470, 369489444, 907326704, 371311056, 340614591, 21026199, 349410038, 373817172, 220347851, 308419740, 709560600, 671609359, 590525433, 119615299, 619233816, 986381833, 834638461, 92877010, 606815714, 314675914, 487188080, 467517848, 407406925, 446771616, 142238785, 589533804, 238817523, 414497916, 830815532, 1005559926, 909114872, 973255097, 445526702, 319669424, 887917851, 551473558, 805511708, 255328227, 613949283, 498500336, 609152159, 380089407, 290681222, 705072054, 707302188, 658495966, 776565310, 26115158, 5583267, 640877969, 609559962, 496785783, 804278667, 215326593, 148302671, 740848674, 717086368, 509626950, 13421687, 1052456585, 635484346, 97757735, 826093536, 806544134, 825067931, 1001891167, 359958928, 132980677, 269921919, 986640312, 1040476118, 587414208, 805961751, 385836973, 726190048, 194765442, 524944762, 711971817, 915618722, 940691579, 241413561, 741359978, 501986479, 80800261, 657361605, 1033305655, 332025779, 771506912, 606705297, 1371953, 307212827, 914403617, 279312296, 6034666, 746066417, 386543895, 1037054967, 705401622, 622862064, 498291055, 526908534, 489794709, 660661205, 910382869, 996824861, 902351487, 626435942, 503501355, 607538594, 932203636, 179824828, 366543391, 853767650, 937746413, 148322199, 493397726, 994796143, 20246558, 227093153, 493829052, 139043331, 51207717, 392732172, 832560107, 422119469, 468575600, 431982155, 176604312, 184761108, 1022196729, 832455472, 585749527, 8349815, 119371503, 317428804, 387574714, 285074912, 371563066, 167929479, 858360072, 851797884, 749991878, 13706531, 505277158, 159217850, 377696440, 201074246, 671639315, 886431566, 605211049, 291786735, 792389826, 3504996, 376385536, 1043008047, 97375701, 110351834, 115653826, 396233310, 432823195, 1029723076, 830227811, 914819934, 960364600, 111984961, 151928007, 119052873, 752191551, 758238628, 919889414, 910465755, 312871251, 415309018, 744881866, 782065424, 239963483, 826379076, 470435695, 1036586528, 220961113, 639107234, 153271511, 416552038, 394365102, 558920915, 568284370, 896167445, 193874949, 457769910, 261911572, 795445080, 332668070, 570094404, 705524976, 618848617, 151667371, 701493485, 366450405, 417136820, 280389570, 248313298, 373525280, 447425863, 672627357, 311836343, 300342264, 889600739, 807629614, 9832990, 741848976, 335317029, 543540986, 1072646630, 485631404, 675160349, 935288494, 182742954, 679928877, 567753363, 7329756, 102421596, 283647075, 559194996, 618792772, 893201672, 939518972, 844109122, 972459957, 674735806, 916285258, 736588175, 91307187, 877552026, 916318289, 961384688, 895700205, 685068596, 929627262, 957575411, 229469385, 248517188, 105423638, 59729285, 962524070, 1031816469, 749427766, 276100807, 312845719, 1025601885, 765703274, 600539555, 701957105, 207716511, 254356983, 203035399, 563337241, 622145164, 170681485, 613480838, 826495553, 778309561, 573973074, 504138767, 920387343, 2320803, 950941054, 140418292, 915390448, 449309957, 261882071, 25689566, 656646885, 345545585, 442289748, 821790424, 738139030, 258138395, 1073213197, 589328131, 579986547, 402461567, 919996332, 371126177, 531602800, 226420708, 394623712, 938805855, 965389037, 1029461342, 523889215, 525034406, 520653398, 312481639, 1034681661, 591176968, 662247306, 853709298, 415441416, 1016731887, 37567413, 828017687, 1048605546, 981594299, 247226445, 375079114, 582775764, 1014351065, 345058515, 757754275, 868087216, 157566240, 512951302, 894038526, 723420173, 476584109, 581247898, 292565700, 369191187, 840559179, 1045794092, 150427295, 732980225, 375178663, 359411796, 270508854, 46840036, 107285873, 371309712, 662403136, 667767667, 2827868, 1054533519, 157738035, 63255925, 319589400, 501104285, 866998786, 104896363, 199988400, 1069578233, 247632754, 459109362, 815393466, 201233530, 24921422, 228150908, 663968142, 66834367, 408764652, 920730033, 215553631, 650079869, 476632652, 5625926, 529865945, 392842584, 568350016, 893167276, 946171474, 177860658, 794595122, 945421870, 938503133, 424554762, 16712053, 841454912, 557214930, 368343738, 821999396, 545060761, 345669511, 826814341, 272861371, 320847839, 761848382, 413102654, 381910811, 916206947, 664287465, 738919681, 952307959, 953942607, 524019194, 318234146, 1018800589, 315804813, 56925682, 59048025, 167446192, 468430738, 515975285, 5189352, 227387495, 905006685, 1018315120, 303384047, 194659381, 577514489, 680531831, 949262024, 558852495, 607419928, 653186763, 64421833, 682288105, 958290938, 408111682, 90294822, 659251947, 748629694, 518593752, 523461600, 887169910, 100170585, 989062055, 747289855, 639584746, 448395549, 72514303, 313937632, 661926845, 463789203, 528470043, 945461919, 998195339, 27415554, 987834501, 441190194, 898698610, 10815016, 943485784, 342716142, 263952197, 921006885, 207962523, 94551973, 560899473, 298234906, 799996677, 392551625, 163822669, 122723865, 858234992, 1035618356, 377698178, 105989105, 284056136, 1067510275, 61969063, 548087295, 341380308, 191825102, 204338703, 802332523, 310521368, 341480679, 468996466, 936406089, 347658963, 269885162, 682801181, 37369915, 853216556, 942273347, 543045257, 463892344, 306290148, 653952158, 1013487691, 913824073, 703558087, 354783882, 47567353, 972942940, 977574735, 1060877461, 851782152, 405595111, 444281906, 234376587, 392765313, 714443468, 1072167443, 974443708, 74004776, 993806088, 20187798, 676148703, 187498491, 508403819, 1012731595, 370682018, 417824659, 748135182, 126221103, 325482858, 121884420, 363807879, 518907979, 842779875, 794468018, 247195003, 12348829, 814958801, 1040045361, 38035909, 84631456, 644665104, 881776868, 595141855, 179781721, 482190041, 581292569, 231811503, 486084489, 875997377, 906575730, 375176826, 214354433, 288546532, 677104241, 10179113, 4771008, 31357949, 954640842, 934711188, 202447351, 362215513, 810210372, 756805871, 148405062, 866080324, 264189697, 1047678855, 648276604, 74251471, 816444820, 176238764, 640949516, 520498395, 968462949, 609174247, 639307740, 185287911, 643460882, 76180166, 840695982, 588918891, 925524934, 808142420, 969367952, 757109145, 492957686, 995887954, 732827456, 240895159, 380809183, 510286409, 434019426, 469266736, 921644514, 355775450, 873501321, 755378803, 35194776, 816338740, 289991501, 622731876, 449397071, 255287828, 435114916, 61017767, 174588157, 370086881, 611372090, 175170904, 72453129, 477735481, 623621249, 802628986, 1012645062, 63084806, 853362539, 248377742, 577238886, 556614817, 494022041, 104767518, 459495596, 312005688, 94592667, 832289135, 182674370, 1059072918, 518833684, 964705415, 799149840, 238745961, 841419516, 51104265, 254894801, 589517510, 778596993, 742166182, 462756643, 477235985, 1031579901, 649850196, 120015973, 63356868, 405321104, 638227985, 522805890, 159260791, 235098246, 697946194, 96536571, 852392272, 115744854, 647817526, 1058325753, 569880101, 772392973, 237255252, 307131777, 832358550, 413209960, 635876432, 358859360, 699510976, 91552177, 606831428, 132515356, 350806990, 858058064, 286987013, 1023856037, 551626545, 188666282, 608987911, 778296187, 749623827, 802249394, 866555537, 79431368, 352110930, 193061351, 948003259, 439027435, 902602159, 846033233, 848609085, 741839143, 429528672, 921089132, 376592592, 672526655, 385150225, 6652024, 389262585, 366010858, 748710837, 877942286, 712117257, 709913894, 202693324, 363933017, 631663611, 1068249200, 976503751, 164601975, 38676039, 750664844, 166160537, 378772688, 571485810, 662232241, 254801472, 677658027, 336811967, 877471976, 200323334, 762999416, 945495653, 38114384, 61924371, 764835993, 138761198, 771953648, 427717613, 1030377547, 88735111, 179309944, 1011354745, 158626753, 777656555, 274971926, 859361209, 135101583, 975175471, 973747603, 714639537, 814174944, 838494100, 824963790, 695873712, 540235884, 166596628, 875561262, 1023101140, 591841126, 355763217, 758997216, 80334567, 324867060, 363574364, 985611192, 22498876, 755016446, 492935019, 527946300, 320460997, 935785679, 758488455, 199701019, 77915813, 308455543, 236251175, 947560281, 708556440, 406803575, 454352738, 789472648, 292586956, 750116256, 898677387, 205949420, 526647521, 75933637, 608297472, 302793400, 328927558, 1068200280, 404239517, 696908165, 110847838, 268915722, 165705306, 540619955, 295923468, 618392977, 854667280, 642628432, 771360193, 966890582, 731270607, 517648024, 15296145, 432372171, 521934206, 796221848, 380515082, 683472883, 732235755, 698112187, 279527388, 285829558, 728464518, 588745894, 528598839, 171867936, 681933757, 308286639, 245149753, 837125541, 473986702, 1068167512, 605937776, 580998363, 46629150, 385096463, 678952510, 198009942, 840306876, 1008146803, 625885938, 421663090, 760998908, 526490704, 933677438, 1060931885, 183964220, 338868527, 709397631, 954298748, 362459080, 30540935, 291143664, 3603875, 691529662, 346887579, 561009639, 306570937, 562255471, 156646418, 734194987, 1023925644, 661361302, 333640104, 246917204, 840954609, 981240230, 928958642, 781083319, 753138466, 944224395, 251434258, 681273193, 788961872, 686729580, 865523251, 861158631, 566684746, 470439904, 850808050, 295363577, 399395359, 747969408, 355165683, 820384675, 975916165, 329931995, 158159758, 666677135, 693464135, 774014443, 108692441, 928544583, 68715746, 616304092, 520600183, 957325125, 220755660, 655040433, 940083578, 45366422, 521808687, 49913923, 178162405, 580511608, 376576035, 575673594, 749469733, 651206761, 234702980, 337189763, 345046599, 589898386, 127818101, 68069289, 180797035, 525249894, 808553252, 153972529, 768486752, 774871686, 374183179, 544730027, 693696426, 373816978, 845701583, 772846973, 562778801, 75568398, 470350806, 365334760, 914221276, 793664088, 130106098, 1005055752, 382541856, 717758, 347452070, 234817162, 797110410, 198360587, 150251629, 500649341, 277892687, 141130436, 85123839, 1065126865, 58484886, 713596669, 483518600, 714399654, 278656082, 375519632, 345572550, 460713279, 984918460, 862630062, 635157762, 542822007, 564542307, 757766694, 32877754, 907766041, 577314491, 673671448, 88240021, 952486897, 148459294, 134413295, 796678538, 850664513, 980314997, 705662612, 215099206, 449275360, 726024165, 884603299, 385516542, 454153759, 858770177, 282916534, 360683214, 455826007, 689185410, 402571150, 572386127, 926750119, 159644090, 79026140, 329814414, 21085286, 920504319, 368460208, 496073694, 452249418, 955253276, 570182635, 698285105, 183460127, 78754227, 788083809, 493420796, 800898568, 1050161065, 1046311496, 264513333, 5640287, 81719524, 297759540, 365393616, 393110940, 58879342, 606589010, 219830704, 176975562, 999862851, 398186006, 941751638, 819964638, 347022408, 740628489, 563625668, 291122646, 168989742, 376680178, 494918339, 626280033, 40456155, 811129242, 717783013, 551870974, 1009703935, 257291039, 215063069, 100178243, 170128444, 184714054, 69632900, 678598666, 240800719, 877271681, 132829274, 77631500, 302795292, 869202530, 630407353, 838734402, 930784759, 17484137, 320201267, 431991711, 189560096, 139273931, 4003892, 457421450, 629999890, 420342112, 602137874, 412249840, 547580519, 1005395337, 273250535, 73462221, 122555803, 609349807, 552618416, 363803482, 474100717, 409939131, 551932901, 322554753, 113427453, 528246165, 219909654, 1001623983, 255431545, 852240202, 206976458, 514697477, 42110469, 758514891, 289594219, 702452885, 181731948, 355195276, 210920637, 633063574, 549652295, 764343055, 613285423, 709598546, 603839723, 937477609, 682278239, 612212951, 352417204, 334787672, 169624117, 679741757, 575668800, 316209784, 1025215688, 805151304, 357206964, 731860153, 80749796, 654020565, 783633802, 106188775, 1054960049, 849308914, 238137414, 209299301, 4501838, 583660785, 452190980, 644485662, 641872127, 837603167, 378271891, 609625663, 568987666, 597924343, 48451826, 896985744, 269021319, 679367625, 1030118451, 710261587, 374989718, 249741049, 593663099, 875519131, 44658631, 1005225968, 736042206, 512119420, 122864209, 534372213, 226647560, 367058113, 931676839, 69848384, 937048398, 373363425, 641965447, 260712710, 387469087, 367983046, 506480874, 574957139, 776832219, 850422138, 571764175, 496658290, 912130355, 368254773, 93515237, 51432994, 116911455, 128834989, 90724145, 702980164, 707367717, 663044272, 564031626, 130400369, 46432174, 767562606, 374846415, 466883640, 640959249, 951965066, 837493178, 232556497, 343899349, 77254917, 331921900, 300250300, 117426606, 519604014, 713090756, 19673324, 6979383, 45696581, 800648671, 237533666, 309773518, 1005618023, 456812494, 971309806, 93968911, 647085131, 98151127, 666364110, 478254513, 100706564, 161031949, 1004460557, 89210076, 357390082, 886901595, 678824564, 175776411, 718356509, 1041830149, 816947743, 265206510, 481021485, 1065669283, 558004810, 821589808, 485831847, 1031651926, 749067096, 205102046, 683679789, 716472587, 868285393, 962823744, 271772753, 64614610, 566609013, 608001281, 1057528437, 52003707, 217233980, 828678961, 865992915, 299862607, 73114350, 421141202, 177338570, 695335113, 502443469, 187296000, 801586106, 428312977, 372793697, 633265554, 87420143, 706659148, 663038784, 407562085, 468695820, 1057801782, 837805014, 1008845457, 120906369, 94777486, 996354622, 79256886, 179932452, 745118903, 791400800, 90582695, 22461937, 400610702, 357449678, 755836762, 457601230, 432795574, 438656465, 835423366, 852556565, 381310500, 457501763, 1038611303, 208441096, 842419270, 1019827265, 834026838, 547017542, 462728055, 921025378, 1028491065, 441916298, 1071307886, 619006033, 173978621, 550809141, 425141251, 933621483, 888130464, 657124630, 387279696, 712163099, 792176382, 61275615, 352083218, 154282699, 849719208, 239551513, 974011339, 808420199, 428524597, 249864592, 673068955, 1070475017, 923140942, 844982694, 832573321, 878762081, 386360729, 26506475, 912107151, 705262609, 675280433, 296895738, 418696762, 933501746, 858988746, 1066402215, 1064225117, 788877724, 428103269, 62470353, 405581823, 249264659, 464332069, 597722360, 504043984, 1050584067, 928534956, 879553840, 716291512, 640368868, 205586197, 797766505, 194625147, 149044651, 255306878, 587602316, 365933668, 249826099, 493220446, 265201243, 532236178, 908957648, 473956534, 388315947, 956120223, 550098792, 65785385, 101514584, 729479344, 751739823, 148649058, 549617791, 517001958, 398202074, 142343432, 65053138, 76058291, 89755064, 905107170, 178704724, 824636830, 237240773, 656178152, 958268557, 272305390, 831282754, 1048459969, 383821201, 207487386, 207379926, 958074688, 866003530, 586576086, 519285787, 25685371, 331562233, 726306892, 621253333, 311183346, 369455427, 253385861, 722961966, 851550273, 860317553, 306260778, 741668527, 394891033, 301724058, 872298426, 842793815, 146229066, 794170643, 476957646, 536490606, 673265456, 563447828, 1010994478, 682896880, 1002152954, 52335499, 465681101, 268852333, 109581478, 20171145, 135101059, 658821000, 354928177, 401023714, 9760948, 149180494, 102493463, 17880853, 1047527727, 258204408, 847261330, 602653268, 126164259, 515274020, 66966974, 295757208, 688591580, 483213163, 355461567, 977186309, 1053419907, 472295782, 800967941, 165299676, 419427832, 401150314, 741985540, 766487537, 972050161, 935885178, 705216830, 503729896, 559643801, 356275089, 179985747, 684977820, 586350008, 895689407, 737061458, 685906916, 956549659, 242259824, 35192525, 220366192, 500483874, 1054308868, 289655052, 13570772, 159708425, 237441979, 644933511, 314976772, 987258683, 909774724, 97251667, 825683972, 670258090, 203280158, 376827184, 1016919425, 697758620, 235531138, 653197835, 244392742, 162119698, 1049747815, 1018769246, 741645845, 1034270983, 597179343, 273037183, 736581689, 636988622, 104196826, 230850315, 462551131, 17692653, 869122993, 972648992, 6466194, 618016658, 391179167, 920677599, 417592411, 847333365, 964765363, 151570146, 352048502, 976885547, 234418733, 450853424, 173893404, 677390589, 1038010758, 146653335, 899246623, 682958614, 494432590, 804268492, 377002175, 829386943, 461425603, 772477125, 173657227, 280080339, 1060713870, 739816567, 366768029, 475611047, 951488548, 404851966, 1010626233, 558473305, 909722082, 535514387, 337270237, 710108607, 1001104060, 13765044, 620279803, 699804889, 967511314, 682317756, 118286319, 701344470, 583188383, 464840785, 151245241, 598084874, 185332025, 146352415, 489537341, 545904178, 542363313, 917433777, 808910249, 229365564, 169750890, 563301646, 123157047, 726938152, 784590926, 1019823276, 431483075, 77808524, 1003377699, 44509343, 360949410, 726460826, 790403352, 199754733, 484344388, 290468467, 477756276, 796680610, 149665417, 155880982, 285069610, 271098216, 168792090, 472028968, 302936793, 766266902, 398354517, 516026437, 1053144643, 47827393, 1001186732, 541933388, 550578704, 694356952, 1071788009, 683958741, 749572859, 839555299, 978502462, 962641898, 361075298, 340893458, 887785456, 463435292, 991442442, 672803561, 246924317, 18063322, 233713088, 503434827, 624932448, 281547164, 281564979, 1060780520, 288112875, 238350704, 788116105, 303876227, 40076296, 384920533, 182900594, 951100279, 959551066, 635710393, 810848831, 732478155, 664917457, 917143266, 57442601, 521226323, 63745813, 439824710, 413100852, 421973153, 744676123, 643344659, 438298695, 758414293, 648687381, 57688008, 211773493, 834015560, 1020995819, 834767203, 530937319, 247625316, 582635245, 353274256, 982061204, 698337748, 174484377, 44169665, 232283540, 98956961, 378515065, 656382279, 756070530, 851958459, 375213613, 795947023, 933088075, 10963199, 419891698, 587260822, 1060502053, 140095426, 1019498450, 827881259, 212530959, 874082419, 698528146, 299066366, 806250776, 1043440762, 592084700, 604912747, 694909610, 558078513, 999575439, 788661489, 60994245, 1036383757, 240373489, 752787717, 645089343, 134182368, 349634841, 49849694, 973539164, 397936912, 544622190, 206423259, 448264993, 197307709, 109107602, 811106392, 258658932, 732883135, 161247010, 79560680, 537157063, 680161345, 16683844, 347585206, 151042084, 93007489, 724240439, 864917202, 147745684, 330927850, 727723197, 566512236, 460638870, 704820274, 784299438, 1061617728, 600721805, 420808884, 389486036, 975410656, 289910471, 303736937, 630712329, 444537304, 836223785, 517477261, 484277808, 613133139, 338992630, 688182482, 681933058, 948620262, 1037645699, 192834207, 502697744, 1022120235, 686458727, 582945491, 858996806, 2284003, 146875485, 9596089, 39075447, 1047936389, 409882640, 570078528, 442040619, 978353714, 328669102, 639371828, 183433692, 861483340, 1029422067, 557075930, 786167819, 290571934, 929568751, 288853016, 511737971, 500298243, 812328364, 711008110, 746068908, 574846024, 797286890, 757630969, 747704174, 452272089, 955044881, 599385144, 691726121, 578782909, 430271099, 460968873, 830729754, 540390613, 147145579, 559358130, 248857871, 618445965, 663620224, 1033502755, 705069457, 115759056, 579873072, 687744269, 770167095, 627511373, 911923192, 856635787, 247170029, 926838121, 140612996, 979105964, 1042951651, 569031714, 986178462, 520038338, 1036338234, 583544529, 258611419, 589932806, 989362768, 63870918, 770739986, 705368390, 399475217, 570604020, 590002634, 211024102, 134059090, 600015615, 596867495, 920650521, 227384724, 1022618081, 609242530, 910286676, 297143911, 312422563, 159117238, 229059430, 329935273, 1009934330, 332927899, 794787591, 534613620, 345519468, 177145061, 825904528, 1025783050, 579315001, 227034417, 695195023, 107992411, 721858413, 830601678, 1003340281, 83357980, 323374613, 473970887, 787896253, 285633405, 487871120, 590936501, 160741205, 254647013, 812774894, 145646595, 665305889, 418281828, 356966238, 381209179, 918934806, 501543588, 85705114, 822251885, 1009954395, 368683503, 799933536, 560495186, 77957971, 667117482, 409057258, 327933456, 179881619, 117853278, 751002312, 195719682, 796027307, 489542536, 931143124, 1001486711, 847885652, 703499966, 874685685, 15939056, 198125367, 467262615, 474059422, 313417017, 502951988, 975981245, 97110203, 957566165, 670074036, 885576986, 556804579, 861194923, 1043340102, 901383815, 234882984, 9120666, 595156719, 567080490, 1001353392, 783365337, 706460439, 131939714, 650067149, 395731101, 571157785, 652048647, 997605791, 352163913, 78290746, 821098874, 973785200, 935406898, 657080443, 119922901, 689565550, 569321835, 289335115, 995971658, 490860569, 45609259, 696028409, 931327832, 122789950, 1032802132, 975440428, 17279978, 111124728, 901292735, 216851744, 1022118171, 44843665, 731731517, 348871791, 330523476, 1017226196, 622615485, 197929165, 1023880036, 227726919, 764280515, 361733423, 2556819, 1015183638, 42639889, 327015970, 243620655, 513080519, 682376936, 866921664, 681286801, 471099552, 154950698, 889285077, 560417419, 663983002, 412521114, 65890014, 223127498, 633608892, 147817277, 665246988, 105978921, 219823950, 517688680, 1039664940, 729058463, 623350529, 469143360, 945442365, 736872994, 899308443, 487614587, 170596640, 807059161, 852553763, 1043360595, 19082203, 1012435190, 418484848, 957755891, 891787439, 429499069, 842176022, 648726631, 261665365, 919725887, 1021298789, 825771549, 1023872836, 512362528, 149955103, 699561366, 847342884, 934089985, 771234857, 284430902, 316975219, 642409525, 276375989, 630707384, 20213541, 714040397, 375129258, 534152115, 174642579, 685247596, 337300172, 81242199, 55339359, 822810129, 69395913, 59306296, 993701527, 522816966, 938203527, 70736886, 333578009, 564451937, 430039915, 976567697, 141340251, 367364502, 423721472, 330611267, 585233463, 739435869, 816865304, 285660528, 1004345728, 366098038, 2477516, 379215078, 643312670, 1059177343, 667939002, 680205159, 440078351, 534677038, 913994446, 125731496, 398045281, 514027442, 1039417417, 256890613, 592330817, 104439498, 257191262, 265932871, 607734044, 355293064, 689041781, 872724211, 488327948, 1042370799, 4315341, 278160889, 383085864, 179633224, 278999421, 216463634, 616712625, 534902847, 745247025, 402818333, 530402835, 891855381, 925903021, 657302138, 149134822, 566929639, 654675419, 613873945, 379077884, 162744705, 1007975571, 975595049, 103935553, 364153204, 270926707, 66287411, 543573939, 709755025, 41179642, 246482892, 949463334, 372187842, 589661140, 432443464, 741883602, 295788678, 458851941, 32297596, 273319802, 771438407, 178351091, 333425964, 331977283, 864105775, 32222354, 421068177, 1018650746, 65948142, 360466780, 239839415, 864949843, 521798106, 659566029, 534378139, 625928047, 1016570099, 263755960, 128826238, 931693159, 909956272, 314610948, 994609559, 907127691, 267832144, 545589332, 286689853, 206684309, 377052200, 127489192, 740824295, 982903488, 651546866, 986041074, 849694231, 932251376, 200918137, 293630592, 183863267, 500251449, 487368520, 826030184, 606931386, 209950833, 184845549, 374908607, 67603248, 663605958, 902945403, 836700699, 918589445, 517385418, 185448383, 678612397, 780388393, 1050543012, 662749641, 1009989447, 763596384, 424744884, 795052375, 583055513, 486041230, 700238793, 478776241, 906113705, 757695947, 937635251, 7541590, 682135696, 809824416, 4432532, 1034746732, 301368097, 789710709, 591129515, 156785377, 939054975, 382304678, 765110079, 833291645, 784689702, 141468257, 594930572, 1069215728, 1020133267, 877144037, 733576265, 19488356, 695223995, 100274670, 782943844, 544324954, 655661269, 106832221, 339201527, 211671803, 288050541, 577853449, 363003385, 14306998, 296357415, 487407376, 530196531, 175487311, 221661648, 744238634, 813169781, 974251539, 27668759, 746391920, 448100620, 273163099, 993780839, 1063646490, 241373725, 691167820, 725056118, 402640988, 623416298, 979254414, 983448433, 714286923, 1057846845, 364608006, 792361282, 123791590, 250283876, 121094919, 872936532, 648024188, 1011169923, 425870446, 25325317, 1040444869, 519198109, 612225758, 79488926, 424408644, 34977258, 1014490740, 189569867, 860138785, 578895937, 729238124, 313924894, 131366146, 278744080, 26385986, 434334482, 750508, 486049471, 84684684, 849981026, 347908337, 531550936, 186476881, 1048327981, 729575090, 311978080, 884292575, 81209335, 255144267, 880322366, 292305885, 1019792302, 576074406, 274617419, 581659691, 304650060, 42084514, 853113587, 96791914, 617659456, 50294921, 1072576841, 499904634, 946035750, 322278412, 135718522, 148192813, 240772610, 48890818, 406127137, 450132505, 456606444, 264427947, 42557310, 654998793, 444796121, 915050169, 10877547, 792528470, 51003660, 376833429, 446721993, 561846368, 174583497, 446609662, 792487063, 90791407, 105071148, 1013320421, 144799773, 565720684, 222170319, 476574631, 1025647271, 855858904, 147915168, 211732619, 403478503, 985854460, 976806455, 882370667, 482570764, 894129450, 436357167, 174275793, 374654038, 1055075089, 15382571, 24271253, 863695138, 904906110, 245211410, 528309479, 445565105, 735484583, 976250729, 557813855, 288099722, 983902209, 526195978, 667260078, 70904985, 295469432, 894363684, 745106747, 1009608396, 979482319, 604752850, 50363247, 693862920, 709337114, 512761081, 1034616961, 806952239, 820669615, 146265127, 51909503, 685799303, 779884320, 511218148, 76826378, 971244839, 1000659660, 562767338, 639419376, 326866224, 863418760, 274064768, 4997549, 506986570, 618119102, 245381152, 930003519, 44593454, 46728635, 764271556, 330913211, 588863665, 1066564076, 976381535, 1060119029, 233738453, 1031991082, 829674738, 141395756, 894181902, 653394556, 883436917, 495437933, 810681130, 414980266, 842554442, 7742070, 817864346, 64073802, 841585335, 169412924, 772583775, 677051003, 221313951, 669381356, 817523817, 733574704, 1056728757, 988596548, 899330174, 558638815, 503352734, 860252943, 737613610, 659559017, 638056773, 484641952, 1062135882, 75162922, 756017634, 124590491, 344376532, 44854361, 123693486, 405055686, 8400563, 56914667, 87693798, 911702731, 153547899, 410312418, 669965817, 916156430, 983074217, 867474974, 376565963, 471434456, 245367414, 626110507, 431494188, 624980442, 640961222, 984264689, 419976045, 375442920, 1001089752, 941524048, 124315241, 862461998, 352405804, 765134158, 842283893, 36331735, 221167523, 589244391, 798311102, 472865886, 378449229, 966176722, 35921816, 515286784, 807154476, 273632127, 467923294, 883258233, 902854382, 753473440, 725512515, 1004270140, 615600911, 898207913, 953921625, 478858279, 892383878, 161421446, 649835509, 38901044, 985917401, 201355823, 147098373, 430358609, 715264398, 628499487, 1049442191, 857376744, 985485821, 272656715, 479621525, 876789568, 339274212, 1013343941, 194730793, 162125851, 367302038, 258230212, 356658728, 624508516, 826822341, 810118446, 659292650, 436794590, 429970788, 913669268, 93785339, 47043019, 406351427, 372961299, 864598269, 654281605, 118097477, 742616720, 273120112, 963739179, 1063660843, 961743991, 654209871, 326415485, 526041960, 223611303, 693069171, 555620596, 1023522050, 125711110, 223585975, 378742685, 983122534, 377728956, 338857169, 705160876, 219341325, 524501490, 65101995, 651581402, 355570068, 150902136, 758951204, 152526520, 804918815, 976763556, 291861141, 833145219, 303983635, 982224840, 752234930, 664820239, 761924065, 17771202, 992476093, 439964863, 993672372, 336570745, 209085903, 552935647, 418411993, 936089050, 517660541, 566880550, 214514048, 982710540, 867623592, 641307055, 794492861, 900338932, 531657860, 633377090, 260870126, 830695068, 46963889, 394910701, 139645831, 953816760, 1071586112, 1055360761, 113204434, 864482246, 535478965, 952346516, 373235931, 781228923, 958739473, 196341819, 531856251, 792772507, 575772236, 763167794, 15067274, 21589148, 214191032, 411700799, 966070844, 54565425, 772684763, 313807045, 942935562, 329641389, 862336265, 495951173, 975521409, 779788055, 149401914, 968342671, 351590529, 384112426, 187632074, 899015808, 337228978, 701963137, 112141473, 815405885, 73073087, 129414418, 1052081052, 438951440, 167331809, 93423524, 814055412, 6130180, 267333430, 782740927, 195254989, 45480243, 310634356, 796899520, 852052790, 667628569, 1003420139, 117889208, 361805584, 649086034, 913812399, 1037152509, 217244652, 549071806, 643238236, 171430530, 764858541, 1035471439, 20593045, 392885960, 597113143, 38683558, 255351114, 408714124, 599536753, 35662933, 913933815, 939639517, 333459352, 202822146, 421310809, 375922343, 874569820, 909020426, 854063315, 369518832, 912166350, 233140997, 223328423, 265676720, 680061048, 61251230, 656339023, 979671910, 6378234, 387872070, 661568096, 122850199, 985327699, 1016908340, 832398849, 746833789, 861134252, 1021456431, 742313245, 954340684, 42939520, 126237077, 915713633, 706246748, 331487096, 336520660, 533792765, 235464454, 999427995, 181807438, 551828221, 609061130, 716914731, 737746128, 1022308685, 294760299, 771282445, 960655457, 624591635, 716967853, 697500127, 429491253, 34245983, 567675172, 929892566, 242439101, 607912520, 669505577, 388352073, 792791014, 87106138, 35254800, 128887141, 422005737, 439293022, 111968496, 896865709, 615287171, 935425224, 190959775, 427834085, 192053361, 1020956715, 934659241, 349809807, 217366114, 920164517, 93263517, 18054268, 761353421, 555104592, 556517680, 438610251, 388019876, 969971471, 767304488, 379227472, 125866082, 902264519, 965499529, 351316035, 227333720, 574904494, 640588776, 308125080, 17523635, 856294995, 645922520, 65398573, 929052112, 516694495, 553387917, 794587985, 70733509, 181847057, 205468174, 574080799, 501949773, 211787133, 840095367, 603665441, 813999836, 560353330, 315225026, 1019037711, 88265807, 278922586, 866475373, 191001607, 366729580, 88459327, 159571482, 318093422, 978640441, 964323327, 548210692, 569692378, 214832966, 568911476, 897150231, 629554409, 614425009, 543841320, 40804523, 539306672, 882171281, 215943326, 602155130, 924236147, 797568935, 947217968, 51790686, 235846378, 945649479, 314235307, 495485333, 519788028, 595380320, 551913708, 723958093, 714753918, 577427169, 294794973, 109554131, 977078842, 1043811277, 335796830, 480586598, 817438145, 118904785, 606672567, 202665759, 123580183, 495877378, 216270814, 197819674, 239507450, 563937885, 5793599, 284912303, 712278979, 668095908, 353787645, 656334776, 661300231, 113421691, 682480956, 47573162, 733951878, 187014029, 312347933, 216175719, 132315909, 140610819, 1026333052, 948491810, 575680174, 519742801, 1073021859, 405733460, 978494647, 991057024, 348472403, 1052620418, 398877777, 529117041, 286865628, 1049577091, 734506190, 755286995, 438918265, 465770467, 780986158, 798453266, 92763753, 154886586, 406144438, 38020883, 94336080, 806556222, 525183968, 996979575, 143671141, 1006462331, 819813824, 881368480, 434371765, 445978605, 588246428, 132235651, 640912621, 811285271, 565720057, 97796419, 92031277, 732370045, 661184551, 58267610, 295390033, 1051548180, 841920881, 688254906, 517268981, 492095735, 748693923, 107582344, 52567307, 696765703, 812386044, 372489120, 463239084, 123359713, 1015741498, 769696734, 238489510, 442396882, 738317104, 674141012, 952505247, 1049067219, 841703557, 765629245, 552476261, 571811015, 436541248, 974569166, 380079319, 475657061, 198161067, 464455899, 967469764, 548216267, 118728620, 314263365, 680045777, 20899488, 338478000, 454503725, 469667350, 222678120, 403133909, 681295418, 527573258, 225067176, 117495644, 882006513, 254445861, 898002830, 883014863, 200336005, 736708377, 476640252, 833990941, 194075310, 888201888, 180575813, 789596905, 350130556, 903576543, 874933757, 744596595, 270214731, 545545621, 699760545, 381453151, 459415299, 181353797, 772016391, 746346354, 506949771, 1014695489, 443787014, 1837729, 796235800, 358010712, 149579400, 493313888, 1003115090, 950723575, 899204629, 32509458, 396353007, 143138277, 777351525, 855365072, 979147275, 844918019, 682682584, 471828599, 857249421, 933763617, 425806207, 325570397, 269999466, 317832760, 953908869, 586245719, 915079099, 60185786, 971984266, 394367112, 223403501, 308915650, 879020115, 112596500, 150760215, 589686271, 1010078929, 666161934, 803929949, 903416084, 606243269, 174578520, 1063843045, 238758576, 108878414, 913880158, 195774722, 867727042, 773839230, 647147084, 220643133, 291476596, 978001095, 768910409, 993921890, 87541043, 455197817, 921204306, 101263585, 626734747, 747923133, 496913748, 342402051, 917764523, 176776963, 686343370, 733080009, 81432673, 564534408, 745799309, 990103289, 51647685, 198656364, 990927862, 912914133, 775861397, 275563752, 180601727, 8909525, 1053117418, 398052921, 413305834, 752247619, 181581703, 59063150, 38164570, 102603387, 318041192, 639114448, 1064364913, 959422298, 976563412, 437064071, 955893165, 424301751, 716521133, 876212661, 296087821, 626346080, 358368860, 670774550, 596861328, 66956844, 233277695, 1038052471, 957791106, 897992707, 402723745, 244391832, 37736512, 975565531, 5895155, 699639818, 257354499, 764648363, 783845463, 912698883, 498510594, 6393777, 779368724, 993780231, 988880374, 477429770, 184744250, 752173801, 823050001, 1059615128, 307715309, 886367204, 580003410, 286411671, 528847200, 558623391, 302607702, 930913256, 287386500, 406617124, 463898848, 833733792, 762065443, 439888525, 585368266, 471743498, 208803595, 466220746, 88763929, 799724895, 176430233, 812291948, 115292841, 989289459, 86690101, 267230677, 902024313, 744277062, 461617022, 988474602, 386900224, 168783879, 414546677, 238316744, 669992403, 723971561, 505929956, 278188839, 824171035, 839683505, 322173713, 486963282, 189102516, 1068708387, 25386624, 355646923, 547162102, 142964323, 1020682286, 726400375, 645610980, 822183572, 102460495, 52706669, 423288709, 568167265, 810701712, 123246769, 615608681, 302639279, 208441430, 307020478, 837086443, 28562624, 54200910, 1061430612, 806184579, 537323082, 445620060, 12093439, 482101920, 434919195, 821728144, 302016383, 81745796, 721265995, 999761220, 585064871, 15470919, 559874283, 703440853, 353547738, 228214706, 71261225, 141835468, 529549699, 369212915, 1013231174, 587315976, 678773074, 501518148, 716271798, 636436570, 735202421, 379920261, 662530131, 39960551, 308485640, 884694093, 379187261, 94579168, 859841611, 683618019, 431132756, 1024312904, 895576881, 890706324, 105293759, 30294166, 755935577, 433676320, 212877423, 576392190, 227675184, 580553571, 743517110, 310360507, 991228194, 971578638, 1016065440, 909856990, 935098096, 53923380, 31209537, 707747444, 35137952, 444850957, 811647143, 689276672, 718007811, 171457187, 964358115, 703049494, 842565823, 329222716, 1023778567, 18702798, 689609058, 431506608, 230118457, 293272157, 624568782, 178756496, 707141720, 907925408, 888642433, 392788576, 1049952317, 284460084, 679931853, 953006797, 762619439, 1072350926, 700830831, 377989879, 106697941, 887009702, 480074431, 628177937, 879725380, 406223149, 956322853, 898940642, 363931448, 487172098, 134566278, 886084146, 147182857, 871687610, 810095704, 123536990, 799491802, 743210219, 73489568, 129190878, 108197202, 884995839, 664270908, 859291012, 414384285, 636184320, 30908831, 1004380312, 397459368, 846953174, 706912583, 423580452, 808780814, 615371253, 1028259107, 792776155, 953406095, 660893957, 376062746, 316385252, 297156501, 21179314, 258408298, 403277857, 181890041, 899129109, 252181691, 618661757, 840812753, 385128684, 405189014, 512064502, 211893781, 56999116, 661491525, 673863118, 1057867979, 179025079, 662339603, 584069810, 945918739, 858366033, 523137133, 270856815, 61341877, 733792092, 542194205, 627341911, 194001866, 700772383, 483923412, 494707449, 159274315, 171765857, 77824131, 258604707, 1069304785, 157406154, 855950211, 259480945, 652273369, 288955403, 198108096, 518495417, 175063225, 753346247, 684243856, 787576295, 32017502, 951598512, 401389265, 1049428992, 187094688, 558439158, 460937414, 844366969, 79061926, 829908503, 68696347, 70101541, 143224217, 546557390, 650675197, 833328252, 834380395, 996250926, 706671788, 253853778, 430898026, 916918253, 1062321609, 367327327, 509637607, 705717640, 76053294, 852831514, 770369216, 675525448, 415377492, 386111427, 208257680, 916108577, 648759876, 1038692772, 939691496, 421677673, 828316496, 996122214, 113029746, 354421770, 331291615, 330679885, 776706760, 488216066, 882496394, 138539109, 940053592, 1955695, 728090482, 446875317, 788413224, 317914, 905499657, 547812608, 143067711, 583098504, 749360578, 907426425, 179695376, 682595901, 474197525, 1068550414, 130364579, 525587309, 644880213, 153659956, 530612215, 177857222, 132428732, 559517909, 480371953, 565737340, 557828482, 179995273, 728740140, 315665958, 491251972, 853773152, 937858143, 485717879, 597598479, 853766192, 727130211, 442111475, 951393653, 364397419, 1036797178, 297164236, 113361072, 747855202, 268833199, 602213748, 511378005, 1064202817, 730780204, 1036305888, 229347195, 838021620, 125136513, 75515349, 789646836, 291250714, 464906727, 22123394, 415144373, 583676087, 145729668, 28882953, 357925899, 962989966, 1068234188, 190763548, 795297447, 837833820, 373391997, 707264164, 984079793, 786802529, 745538683, 786282009, 370126926, 73840912, 828231593, 644968968, 6726256, 215587736, 398355849, 222597835, 253246945, 39231476, 909369844, 847690997, 673639689, 633641544, 135228813, 306708033, 987997848, 589969307, 996113784, 54013049, 562431463, 122115201, 1013406840, 976412389, 668779269, 76381931, 324218875, 1004602829, 529064740, 193883346, 68817975, 53051401, 1024793526, 1040850125, 1043418793, 101164843, 837104921, 192260715, 1011727528, 932455179, 866450504, 527808313, 786417978, 82740088, 384744638, 175185544, 469468956, 677748358, 295203451, 266171765, 839668449, 528814490, 531123037, 103662460, 231046816, 564680519, 1057228214, 558668028, 270593025, 409140026, 1072848837, 597276274, 534722360, 310320410, 964689289, 899068540, 1070103516, 673093292, 638364826, 1021325249, 928615544, 377660704, 826484753, 363283920, 363387697, 1038773140, 466038308, 341377224, 51057952, 647363139, 603980625, 669987539, 1027239732, 161608879, 304276448, 716193593, 666788566, 250285845, 906414532, 178228148, 608712433, 971439000, 522151482, 61037230, 174086182, 117796102, 1023589020, 457771970, 813396188, 210882460, 431922230, 339052355, 1068003445, 59947271, 1046708986, 1025253446, 988755257, 920967352, 329941417, 38506741, 433913128, 102300666, 744944427, 660116029, 143040386, 1022609780, 894447404, 701819226, 1028554694, 1061565312, 1022988181, 851033624, 447676929, 1054504642, 553577177, 614629001, 814113657, 1051617263, 269448792, 435967476, 509858323, 731040969, 733482832, 851026630, 512080566, 776537799, 265746379, 182178226, 744757298, 964242494, 842770126, 590083107, 579396980, 193469818, 586596299, 303431175, 44243611, 5678487, 109572512, 837051775, 121044926, 949713206, 976849500, 612465960, 520055440, 583964638, 1070800307, 574599321, 614454000, 399149598, 182116143, 957070064, 141449534, 704200374, 720696718, 859625989, 471539981, 227825277, 39457169, 136986153, 503201775, 481156401, 451347424, 571382944, 272740709, 263399355, 485556825, 774375239, 427495950, 361726499, 365602873, 135237631, 599821971, 64991910, 321588936, 753325518, 545130035, 87598516, 36506071, 1057467602, 2379281, 90254602, 364205318, 838717468, 972810489, 172993317, 129186392, 44353217, 1001015018, 1072275481, 56344603, 670530385, 1067382723, 1033230146, 309793819, 1030107455, 225607755, 531496801, 1070611791, 789616343, 186223972, 141881341, 281507980, 645804852, 1011288101, 638073485, 435586690, 1039183809, 368611654, 967143754, 111089033, 866386912, 959267125, 730762631, 263769182, 1061426270, 352689179, 338550338, 874462595, 154877016, 232513709, 54414218, 826780228, 754974267, 139151919, 944214269, 195615807, 358613357, 965586752, 755739165, 151371447, 1009969650, 1073541744, 410252501, 358414290, 960435067, 168507826, 563185340, 415183551, 405969729, 732817952, 958782694, 924401334, 160632722, 496380328, 604274707, 631598656, 320341636, 357072503, 546872335, 1051690082, 792851834, 794686057, 561191796, 363242085, 395942766, 12056887, 984621247, 152239502, 125884965, 635050779, 621666892, 1069370724, 197232925, 1044069077, 501273856, 315598009, 271165706, 459446074, 784229981, 170013367, 569406833, 234935493, 1059979187, 431020133, 364832341, 386622737, 869656484, 1068429628, 921340860, 704370421, 272943522, 564587263, 81071571, 22368825, 497870710, 605253118, 225432998, 489078126, 730548845, 225994958, 200968037, 179309206, 856087255, 492577796, 888231800, 857321521, 929763541, 691380557, 693796146, 758202597, 850834606, 672126476, 1001193990, 684228978, 769890330, 827223300, 1031024757, 462167178, 21238657, 779667293, 457413822, 508722246, 113275336, 960437203, 211309650, 1046117223, 500509489, 118918082, 36278221, 801289687, 142397523, 250938869, 431118972, 535570497, 61183729, 266857088, 937575296, 449599861, 317163230, 45087772, 625913656, 486300502, 1068176748, 427121351, 560690215, 593982336, 667710425, 433428583, 874606881, 105382931, 395852806, 870490253, 1068050511, 787101918, 946199917, 103232447, 147652382, 501539610, 659118802, 613236050, 305527017, 204678883, 429662578, 762282743, 135787605, 534951734, 612642430, 1063998302, 518084187, 683657104, 506809395, 131487012, 222762427, 846246588, 166066987, 12404757, 26768050, 900360552, 440926926, 173450227, 42452229, 262306056, 826253493, 473293843, 1007721394, 951326655, 549357775, 853080377, 543265397, 77319796, 970514514, 554228268, 701026368, 79930599, 453324222, 39575701, 716454419, 187062994, 314849806, 295862708, 989687120, 180021755, 219326156, 551251542, 448743223, 1028032012, 1049260313, 294079747, 868577379, 193995104, 840793567, 478167938, 185046430, 777929486, 394208488, 712300059, 523286857, 984365319, 250936471, 67301288, 932072872, 90261437, 99360337, 437413777, 785241712, 157719134, 48127251, 869550377, 61491432, 899158451, 17081937, 393240434, 132858374, 853114576, 267943349, 736481025, 27486621, 347093779, 1018295084, 15746923, 233681033, 719098336, 978434239, 257312097, 89031174, 63650379, 737597341, 35366965, 1009924528, 180291895, 636699559, 843391567, 317566985, 894572216, 1016527905, 539207298, 886972953, 550605129, 99595471, 395750789, 48602226, 292824161, 194975287, 210079332, 993619300, 1026541047, 262712233, 1035591390, 188956306, 995228218, 387659382, 797055554, 905980810, 380943423, 156946766, 352640965, 623608680, 474297669, 553099254, 169071982, 1065652075, 27257367, 892893169, 421304518, 655667334, 348004320, 120765826, 661574670, 983100498, 498946678, 353217239, 971606951, 366569568, 114769627, 246597832, 1007603633, 725010369, 343555391, 363683827, 461503845, 72882084, 340870763, 935375739, 199077246, 108137049, 933469830, 110422014, 677931850, 928161812, 970124442, 294274550, 736639939, 567100110, 1026959047, 269611225, 308062654, 645203412, 886945305, 798635688, 859911268, 977380414, 505111471, 1038852315, 762967686, 151863442, 1053975674, 277985320, 481044406, 600134200, 218828304, 231338121, 866343092, 387988572, 816618183, 894743934, 565370568, 79231868, 802002770, 183397893, 359253064, 693343687, 357149188, 816534602, 646701858, 441046561, 435419265, 807712196, 417094923, 443913754, 978114502, 1033994986, 318940797, 745490333, 191674879, 887367821, 179480993, 672289637, 1006921977, 286613050, 822722269, 12739459, 62342751, 120738451, 64206142, 1073268110, 367663277, 180371384, 165520888, 234258975, 824827749, 384126997, 147258077, 477127924, 231212960, 7920310, 140991843, 489758205, 684063139, 14194027, 356543109, 204948400, 896448297, 957680048, 625007336, 246247795, 823823147, 739910327, 231626012, 836076066, 508373104, 701706255, 285837674, 256993218, 1024141469, 827442114, 68557336, 972052828, 163369654, 923295823, 630063240, 190497282, 177595122, 351647768, 365280552, 278682852, 544142568, 512826605, 621132240, 177403369, 522844211, 129309542, 661535648, 342160223, 753300213, 538235666, 348259153, 78713127, 37617358, 152819037, 545655595, 857291858, 239807162, 94731617, 501287826, 168390549, 997110629, 350971561, 954961303, 862152484, 1049302305, 941947879, 917615641, 573410378, 555549462, 151401344, 28429164, 288519101, 562914149, 447648989, 128595075, 191510720, 493966697, 205861751, 853172544, 59415992, 737004406, 848147507, 248396528, 160323010, 715601649, 435732844, 71336219, 808548197, 1040002265, 749003820, 529288997, 1030631253, 192809804, 787399844, 960821971, 402492495, 1002152402, 704553261, 427996671, 197591207, 577551621, 217806414, 78594199, 903049454, 631579543, 1026933692, 844414461, 28389050, 27315862, 60397956, 472445522, 877382649, 149432295, 973112842, 511902637, 509169571, 516775002, 409383502, 269783781, 99847961, 103873470, 375639886, 807999180, 1031922104, 190201470, 178221313, 352231115, 817642522, 441592271, 973258481, 383148409, 551068836, 430180262, 42869959, 12634644, 267234682, 500847728, 3429257, 537281211, 177394679, 108584805, 206210418, 911498313, 626057167, 372016632, 343935279, 688410748, 589614708, 714646400, 927114808, 161165317, 85595037, 944082754, 1064997895, 414685601, 906731482, 1054549327, 842599244, 950658257, 930132060, 526805798, 851799557, 1029772485, 618136162, 947551168, 11949740, 982208416, 646241298, 974945593, 1035495502, 440473784, 627196373, 868678943, 206146575, 280702243, 260785356, 542384814, 29750369, 511873152, 679787902, 868347107, 1047370924, 447545752, 359643460, 348099392, 84324062, 240730611, 1042873076, 85690304, 159810933, 405807752, 288048528, 1016195095, 954376787, 663764965, 831412703, 334061080, 212481213, 154828333, 330262948, 918578150, 13439160, 176336793, 688518283, 994374040, 1056859700, 593818935, 145882306, 708190265, 104743846, 36619199, 207060899, 100248736, 593603656, 607253282, 909094718, 344659044, 663159754, 64122645, 774885678, 707909844, 713753380, 252785897, 987068147, 799033219, 39018852, 1025593428, 182113006, 851123179, 888426347, 414645318, 832685682, 19698873, 589627019, 358012505, 710901465, 981109764, 924319853, 16792773, 707894320, 1056193717, 1025826919, 176316401, 572001152, 326451254, 657639447, 169220920, 182798005, 967547872, 917445472, 656793500, 55407357, 442125039, 105528621, 328807084, 1004216608, 667256957, 7516086, 126925295, 873576759, 734009740, 905371649, 224497733, 165781259, 696460124, 450401754, 23254678, 67776736, 208288747, 731688844, 874379910, 959593435, 1036389019, 48426494, 523424618, 248067050, 944661557, 618075163, 655530922, 305937246, 782936015, 920929549, 255399737, 313381930, 810717195, 879809896, 262502894, 762047152, 54605674, 914242099, 376095980, 627665343, 23577417, 950633811, 241482871, 205339011, 173373675, 255233588, 899725484, 400789961, 685716181, 898648614, 789943755, 697195337, 111942856, 750655062, 83095308, 12605695, 1056358705, 564736106, 462368393, 978528483, 50771347, 313994675, 723521270, 423332341, 600446548, 340541715, 434419823, 656289930, 756579054, 655903595, 18341851, 177599222, 11474167, 59494525, 705222726, 64997170, 53183143, 178663474, 867184126, 429189505, 448652194, 87038406, 789341771, 571610034, 136109917, 885416730, 795116564, 238535357, 848980979, 175452414, 631929622, 297938333, 572617188, 678439456, 503578081, 289952784, 11156406, 97327294, 325698436, 225255990, 893296779, 244874382, 898289323, 375441275, 1023646793, 494482656, 488040835, 1051467626, 670672484, 933987951, 518980576, 298912746, 864675793, 823991954, 1038540411, 688911325, 416273896, 496496784, 79055910, 516493545, 997158232, 843673545, 544033184, 126100930, 358425942, 1002634500, 17464798, 731333472, 256667777, 660037729, 106389506, 742886661, 491990040, 115749269, 41170920, 621021673, 261973347, 42186732, 229652488, 469757974, 750860855, 490132744, 839236439, 1038900309, 309391202, 272219180, 919412149, 529187593, 231878508, 866842446, 43223952, 689781650, 160643391, 373446016, 988227412, 573543349, 319201535, 79414718, 552525452, 838685634, 654392817, 571015081, 950325245, 107636469, 30719246, 1035833762, 618332104, 712303988, 745475602, 989629984, 524762471, 272725038, 216856961, 384857202, 976323970, 279187430, 1051773398, 353714718, 21902250, 5527251, 726919826, 243618424, 923410689, 568135448, 27584090, 50661786, 421242197, 299316570, 236802809, 535707288, 1051571723, 79455747, 1013770636, 498739877, 96690185, 1002493219, 211280973, 138794520, 915866177, 1051394445, 664439684, 931482390, 1042941039, 504762532, 704232524, 62751770, 34102122, 586303962, 203418032, 1046683142, 71942703, 12493376, 168119645, 984550412, 1024252082, 302199167, 241860504, 401998675, 300417273, 420587886, 892101370, 890305765, 442424514, 580272605, 192400068, 701456216, 16628521, 107490586, 903716090, 958507549, 690690602, 1031343998, 1005436247, 930599887, 127368319, 1065397250, 987910746, 147773176, 971051278, 281175507, 1027988566, 663426291, 882895240, 37090712, 373898045, 643030061, 1038840639, 934269815, 867627197, 322456601, 70420971, 277442118, 380659184, 631522171, 3455656, 761232722, 1015920922, 50321230, 715323227, 375205382, 733053877, 163646763, 1042961894, 688573467, 643188469, 231671331, 60293399, 699122004, 331945734, 582611332, 742268531, 900204511, 161650859, 154230697, 736952249, 65592640, 870591256, 282743044, 37051786, 952503595, 706560905, 426062293, 212479190, 76008745, 347759344, 349980685, 826992920, 293765350, 646107606, 470514301, 599459065, 868859072, 59675663, 468481430, 892628242, 1052873033, 1000130985, 198766610, 1034630015, 1034019192, 160229005, 147462520, 176796664, 237237720, 420184044, 1034669516, 340659420, 1057567803, 557337860, 827805431, 4891845, 1052940668, 766676120, 757565372, 942144203, 969001728, 786649440, 524255666, 763062311, 74097569, 235987547, 958632812, 30413858, 1001239111, 886948881, 1065316701, 918298200, 311591901, 915362911, 500654191, 301629438, 689332414, 933003738, 405355443, 750307830, 678744530, 912730619, 436214839, 841192196, 409222067, 76816047, 860163391, 933262455, 406778944, 185537619, 283131272, 159806946, 989858235, 597672435, 745996421, 854257964, 11676290, 796523367, 851534347, 1024394942, 851441644, 357739249, 805423004, 295851808, 245476590, 938774924, 543636467, 588799604, 367467827, 479866003, 887315435, 927545390, 583683592, 354038565, 605095689, 853805962, 299621610, 990555744, 1006682801, 157485966, 80615952, 732571925, 166678348, 717885177, 191629677, 859143585, 488683530, 6580579, 770274874, 460792450, 58875920, 421036694, 231310989, 920788651, 597396335, 84699675, 493574949, 267631301, 502720862, 642560670, 78509495, 192312861, 1019446457, 735365437, 852888137, 555491979, 654997572, 707580848, 885314958, 722387564, 314565713, 1019001269, 446049539, 35648891, 979090898, 710061403, 184786576, 461374675, 526185231, 973139963, 896146710, 1019030313, 576988082, 806957170, 185956237, 183092889, 15355885, 664593452, 174035463, 465055497, 770104903, 817109022, 141331, 901213812, 231811611, 215074628, 809195850, 316248097, 362768842, 758861928, 4929410, 897267945, 648956341, 46238187, 554596526, 609171811, 1033155101, 709837706, 623411679, 773098790, 632075065, 501298146, 185692046, 475280869, 400974139, 459413365, 293290007, 956987740, 12837892, 728681772, 608441800, 986808985, 618092991, 633250522, 135954231, 177285298, 425191184, 489154513, 1025811330, 228914605, 172689561, 859455871, 992636876, 491112113, 165161489, 878555551, 606389216, 524743071, 945019156, 1012558530, 604322109, 467518396, 459115002, 788549643, 119424259, 232217004, 281726320, 937919184, 957383026, 926329649, 496139132, 134326675, 410395829, 780099885, 440392109, 351972278, 756624308, 705467522, 86563951, 1023819637, 298904791, 558444576, 998863037, 854974622, 649867710, 787272632, 1010289167, 708965124, 663195089, 358697108, 509417316, 201753421, 982303846, 257806800, 686316879, 300123339, 800132441, 518949150, 958542437, 329095913, 356900846, 406071708, 848601571, 1050619477, 986455312, 961751544, 565053506, 1001268744, 162823473, 128312545, 628121101, 808397539, 7127684, 576150318, 76155069, 953562661, 623349698, 298074618, 132344352, 678355192, 766439796, 370114250, 98675452, 276221653, 431560129, 688705937, 606188671, 500023622, 483266256, 622594700, 791592617, 584590848, 394421861, 174684259, 1067266318, 298416367, 278642281, 345646715, 531679355, 983401307, 747359429, 765312082, 121034164, 862095779, 201256401, 764192736, 971671518, 495233823, 468047731, 819925819, 296857976, 790875727, 13536943, 863749820, 709101568, 226843673, 456053573, 688351663, 696732889, 942917601, 68645174, 599295753, 256862570, 77446213, 242930548, 827885302, 713663, 922547022, 152701471, 925045151, 765197559, 50294491, 725602635, 204626433, 602704857, 849719285, 849629877, 793484645, 374985455, 1047953362, 650846931, 1049964638, 10749358, 29404935, 790715272, 249650162, 866501501, 670152121, 51168520, 290902828, 648439210, 385740914, 18308508, 731648167, 739401426, 183605559, 176651284, 897618846, 429931043, 207603242, 597949625, 156734981, 734940885, 100087651, 927088919, 739028913, 836100541, 367530309, 353140784, 150205619, 49135284, 901337942, 724402539, 12679647, 336524821, 386909400, 147621967, 56263237, 508523847, 790056445, 644891090, 952737451, 97622766, 306721712, 950682502, 235830194, 381141288, 729838184, 700324155, 512662254, 489764334, 95982304, 4994761, 877106612, 488472899, 1051973038, 505440218, 566704782, 552690545, 475751513, 727560894, 1058743854, 855417402, 205301909, 1045799604, 696724426, 306914749, 791320985, 186021103, 231723818, 23386876, 140105880, 793914731, 993976660, 1072488713, 984437558, 676231266, 1010227715, 894599478, 894397089, 941608874, 771073584, 346196452, 65731700, 34664427, 196150938, 949081763, 473545169, 632852353, 233458469, 900539387, 880483095, 938514613, 405220182, 554938459, 320374399, 799640382, 633957472, 265023952, 753822363, 243703377, 977921471, 524619365, 815751113, 51096694, 1037884597, 430654442, 179040140, 998101967, 896217739, 251691661, 426007366, 275410636, 757405354, 257374460, 1058132212, 272819247, 167758129, 288444500, 908811393, 1038959462, 171105246, 432063894, 518235340, 796722954, 93977114, 1061081763, 119779606, 506482609, 872713741, 370172547, 139811921, 261417971, 58066257, 685507556, 358958095, 111086377, 466018042, 323472113, 706508551, 291774539, 365120090, 229242768, 905574567, 672488910, 258515532, 103666774, 880636894, 36447395, 545615226, 916617917, 302909313, 569549135, 856411682, 891382592, 461302934, 988019970, 168398630, 938658120, 308568464, 504250129, 314255050, 611130101, 533714372, 1034105535, 857446033, 619477514, 803518805, 423867853, 97469679, 781602187, 608491640, 1052671510, 124245157, 417158809, 642590643, 179852375, 108346207, 246062618, 438817988, 78229000, 458185645, 895465210, 249375435, 851798091, 1040356469, 374344636, 211353271, 47665875, 426129052, 181979624, 264634184, 745257637, 170683243, 393208306, 704633364, 724629236, 895714718, 511867347, 31165425, 817117473, 1020894371, 73928217, 766177110, 660476387, 652296242, 528595711, 273451232, 550669546, 1052124513, 608510180, 106165265, 639140243, 213448327, 1046552555, 467528510, 87606, 499987430, 77737060, 64774753, 755834223, 928848221, 458416516, 443069637, 445460558, 1060373872, 812003752, 142113462, 748366651, 634932061, 280112415, 534131632, 6878989, 443152000, 1008104906, 183435811, 921698013, 433326875, 559074785, 932598236, 98529421, 26923010, 203830262, 1046052427, 234261037, 17385613, 677421126, 861786433, 59833484, 367620457, 251770102, 602938758, 267301503, 778789009, 670014823, 765249764, 546289682, 53364459, 959381157, 632299891, 462351452, 407761658, 919860926, 779928321, 55266596, 625519878, 119383192, 826705529, 895315442, 993406797, 256611591, 615908489, 73697185, 535850068, 423299447, 493818441, 580480993, 299161523, 649459821, 898201523, 662071713, 340463885, 846058152, 355659789, 824213150, 394216017, 683332920, 934302829, 1051991568, 861854681, 1063138117, 1040645313, 895827473, 905187810, 199457468, 790491296, 517054853, 1034937896, 1057442190, 464134122, 746191053, 1037832886, 253697425, 231927930, 451740164, 442042508, 367954856, 260890452, 57380013, 916048020, 413516560, 658602805, 588331992, 335562987, 625015935, 882568630, 684057855, 328235528, 312148150, 995134780, 734449546, 18181758, 520073814, 3220825, 854905709, 1045937068, 865955900, 166498309, 181300034, 508463158, 337156329, 659564156, 195102438, 882798083, 584505948, 188140184, 60771178, 127371380, 475880105, 120582875, 373155441, 112966802, 86317737, 84757978, 881096592, 708482586, 324821269, 899471254, 260337101, 425034742, 34982548, 514910503, 242235608, 428367312, 930350972, 519764122, 752909169, 57721751, 992008278, 146925636, 387001649, 187289107, 52342125, 986572113, 749045197, 587500301, 744474200, 468708175, 220331903, 384944465, 75004781, 468002313, 122668277, 249571734, 715713238, 958582188, 968479241, 514298886, 3116311, 239946123, 977310629, 368625230, 588529499, 530495785, 1068282551, 234606289, 441764943, 869553404, 286417045, 162373737, 922432271, 1054649179, 434739684, 493689, 765390133, 10269747, 868086965, 358085690, 831518985, 364236205, 414189677, 43362462, 342459410, 749198414, 513964277, 736290955, 450712812, 588647049, 241605087, 784262751, 742576837, 986827518, 291602058, 206956002, 767006938, 1040712538, 858620235, 828472884, 8450790, 315372158, 532854850, 538529780, 940256846, 74412930, 522686374, 101377196, 891983143, 112224160, 964142088, 1055238951, 546332607, 708856849, 60948463, 811447494, 122046854, 885887262, 672289622, 987508217, 374681288, 1035771557, 800194219, 675030351, 538584089, 495333242, 918465086, 610895313, 715889761, 1048620795, 333067719, 470745593, 518003506, 450291440, 910027391, 159546635, 870985573, 219844143, 106292053, 602446877, 19306841, 1041135484, 443644312, 786423356, 49184488, 1054529391, 517163867, 381778022, 401377891, 368131607, 177359284, 1006244013, 55117433, 107538926, 306484018, 1060343614, 254912518, 452112920, 627682677, 197421462, 773396815, 181165870, 1051782036, 14218414, 499410337, 420931673, 616574820, 482013186, 1016181279, 216407962, 718913192, 451453798, 60211079, 352714966, 251327857, 94835564, 267820346, 1042719068, 550163492, 722654519, 610176272, 742264662, 884901632, 579800451, 112403768, 391825358, 552082740, 486624308, 121048971, 509765385, 179989059, 511394764, 462339591, 961026539, 870771359, 151658205, 896665267, 823968127, 406152300, 914422549, 245012890, 269382147, 925540125, 886590819, 553448204, 67042646, 170696729, 167764475, 336682419, 42825432, 1054518612, 750868594, 701715770, 779015042, 210112455, 922170503, 286851311, 146379550, 265247511, 638706935, 351066504, 329343764, 759039729, 712790475, 233121685, 180080433, 611825592, 311817412, 507523995, 475056744, 32847082, 636178650, 42839450, 164183440, 349895249, 369269954, 586568959, 780468991, 492198468, 1045939729, 22997623, 969898446, 870207862, 151211601, 653945813, 647695785, 558397594, 59545481, 286284454, 686559320, 136457225, 266430228, 558631624, 157362350, 1020595995, 14557147, 493359061, 232334729, 388982244, 760397480, 895233776, 529024429, 507312751, 235573340, 1027308064, 184124883, 23815892, 866019809, 78927057, 583694750, 111050251, 732598973, 75783487, 1059553962, 666679133, 46752292, 658983416, 793025593, 446259109, 276757704, 126681445, 800319542, 760768147, 515703824, 364332125, 89967404, 1036093600, 25439296, 802618782, 128662100, 309689010, 135407641, 68279194, 854772535, 554471220, 557953431, 678892778, 377106601, 122361407, 279972122, 579193716, 966299130, 282326542, 1068923581, 623225204, 719131708, 141073137, 170522872, 24834876, 909078779, 379206042, 463632023, 92348076, 360863068, 985042411, 718478292, 870769318, 18102357, 307009883, 216941142, 920717472, 365454665, 1005813126, 701512497, 75812391, 868566043, 199982472, 606868293, 613558975, 480527819, 175946976, 1052068566, 400782820, 983979497, 923318496, 195907068, 1045252060, 833527866, 183125668, 475979372, 53281212, 946327237, 417814847, 187922689, 349078115, 637368006, 674462195, 695667829, 800214881, 325594451, 167441327, 397087333, 430887383, 515331800, 436193709, 437323442, 809129917, 394138777, 652734092, 938005920, 1008458449, 61873389, 672694034, 745901985, 598982649, 602866434, 46475280, 438197291, 104131635, 907017442, 1064438941, 375714703, 555877134, 394675660, 82264279, 525572006, 844525230, 751742916, 350528369, 750700563, 782250467, 923866745, 838970356, 381431091, 565136116, 33404677, 597174081, 111690160, 654680749, 759525290, 977639614, 490112979, 1016143114, 211374857, 334880029, 1031734046, 879798046, 427897776, 873056019, 80644767, 485426097, 757807213, 215340131, 335716850, 848770784, 600983771, 677386739, 866547290, 970920564, 58331428, 172543966, 335843414, 930765885, 5121056, 130971981, 260175238, 385214687, 5183558, 1037287498, 634873342, 479308147, 646262928, 703348758, 542088716, 690003914, 526264419, 381617482, 63149481, 943522759, 179834948, 243572722, 197868663, 13070463, 1015241056, 829743084, 202596753, 255035519, 1041334583, 90657265, 116796806, 641507926, 33419721, 1051458157, 850604429, 504761534, 174623316, 528886121, 978912365, 837697610, 761155777, 478734685, 777642860, 257043542, 154563162, 180523788, 852645229, 351024221, 283600968, 329852034, 1040930851, 124248930, 130926396, 395848040, 835422834, 698254380, 219358614, 762232640, 457618429, 128009545, 207577300, 388827379, 436262337, 479291931, 1041641245, 7151820, 591785767, 614861583, 1070338557, 177427722, 316846018, 870199518, 1001436015, 108563680, 175225406, 340979407, 11010925, 858128691, 693427660, 731405040, 1003600134, 118387166, 778619362, 346586665, 684946631, 760588871, 780386002, 849379982, 917775942, 1036767244, 151211358, 853464460, 505995844, 185965274, 1513423, 448643288, 281008716, 722441728, 109721766, 357521484, 301305119, 430849337, 312402019, 581838645, 1001391023, 678899439, 806949102, 62923938, 192320291, 524091991, 206084447, 235531899, 62668474, 216333148, 374323863, 915406842, 506588703, 613629625, 499873231, 55631830, 201865976, 199741289, 9483706, 561128019, 271243350, 581165006, 69661071, 363233267, 247293094, 616622391, 689074696, 903386588, 890823924, 811624165, 841474270, 733076298, 231378900, 452995658, 92841743, 935945413, 563828570, 620749508, 424292754, 183480833, 920577705, 554862412, 224651045, 1073443933, 857082281, 457661897, 962818980, 158360195, 469404680, 129210147, 244611515, 359601127, 555131664, 402417106, 537621084, 730423042, 828716488, 683478925, 451541615, 506967880, 381423408, 233637889, 238505118, 693236635, 729661800, 241873024, 370828335, 843044666, 698628908, 968340085, 358120668, 541320035, 950534975, 207838000, 290411853, 201513005, 195401746, 451328153, 440986631, 360101818, 923095805, 77142043, 19827058, 419651840, 740146583, 905177043, 655634685, 556338850, 640460676, 857401688, 493917157, 725800153, 231097683, 677433895, 108829587, 771422776, 689319441, 419054702, 39319943, 248276793, 630557226, 559351082, 258197988, 958632689, 337559088, 991116526, 773162758, 33585976, 353615848, 507879935, 646282857, 352564125, 400380633, 539708085, 35885481, 15916973, 732659413, 827219633, 252149863, 88267781, 572079042, 491684625, 272016433, 523047918, 281582972, 1038808293, 31356064, 544842588, 797464826, 747143930, 928867470, 699439654, 335313714, 1014197729, 789385643, 19559434, 218071068, 706246966, 931406402, 391209173, 631316289, 1021457068, 904834081, 1005265648, 937227162, 598311728, 446866003, 521243640, 488211293, 91902972, 542934219, 15612429, 762003057, 942050553, 40284759, 862560092, 410264237, 47528322, 754189000, 453364316, 554182422, 488664557, 632767985, 997854267, 921705926, 1015161414, 510895637, 584823061, 933361834, 238938095, 3682485, 751776221, 1053032593, 277711147, 214428241, 366502556, 479302430, 617432640, 341465706, 647466113, 80665589, 910766622, 845140041, 24675597, 337048598, 482827568, 917405414, 132673677, 979884585, 816526566, 981606950, 62790003, 714869151, 772447626, 504416393, 287329651, 533339095, 671978228, 146598153, 227987832, 880062863, 64115113, 1009895680, 212595852, 81901467, 615124899, 954097974, 1064281680, 100458689, 826564622, 942770995, 1056882535, 134087980, 708291841, 864344401, 715616218, 1024464307, 347357136, 331914561, 941426533, 150037418, 987764989, 905019710, 890131723, 891764393, 599951834, 128527712, 763142237, 214171160, 922835336, 6251335, 719036442, 155790429, 646063755, 801984184, 607489142, 1047564364, 349445159, 663211739, 186721833, 38128493, 988212357, 127787386, 861481579, 979692513, 890709099, 174842490, 464230651, 222352970, 646831952, 412145083, 626577357, 1052545031, 681243041, 70605950, 47088784, 262140364, 931865056, 775064787, 579159569, 283085748, 926643355, 28143574, 10000403, 368524738, 833615561, 52699308, 271713529, 487114770, 490296232, 316655842, 661237678, 343542375, 727619318, 505312262, 352379560, 453971886, 676758550, 761960753, 243165976, 593655245, 525398827, 299265885, 914031240, 1061520128, 212148906, 219295282, 546600979, 278444905, 206832352, 970230241, 602443340, 694423585, 389942633, 919271543, 612464396, 414939665, 44169751, 724131270, 812697418, 66708427, 154210613, 435033402, 689455087, 927959350, 6802046, 101521888, 131383146, 503270865, 272602613, 440891594, 514722591, 913470289, 640831492, 1063593401, 1069948755, 931895129, 798431982, 134655976, 1053660300, 371789105, 230953301, 289275644, 846301305, 317079661, 702374978, 427823644, 1024319175, 289389733, 175682497, 188951686, 348018636, 504785947, 975654351, 439024995, 75209302, 300890943, 833873877, 1420545, 195440810, 555691251, 523961915, 531563568, 194408985, 442264985, 572473840, 26742295, 651280939, 57369038, 844717713, 981904498, 399442015, 569989614, 908891946, 435519815, 743882597, 275627499, 799247888, 214556845, 260174966, 422859012, 213339255, 11129664, 571227893, 575492624, 399363168, 896334823, 831218239, 128254272, 497048196, 145524418, 969296276, 249322649, 559909829, 484955470, 1044455382, 782914955, 1049531496, 107724359, 174249360, 778693056, 852438097, 561327450, 796786808, 1027376233, 57333315, 924276129, 1019786046, 580313114, 64905669, 560276706, 645533963, 68096301, 633989248, 685645913, 953525761, 437425048, 117932599, 71058712, 590791596, 1186870, 402129021, 539125124, 819994794, 442921520, 643839019, 515363362, 327604109, 714028430, 662056666, 999426217, 933591413, 272158427, 711227400, 553000564, 246475431, 11998859, 930023339, 605166895, 258797953, 885455312, 1005609205, 153500604, 438395019, 1015578712, 791995951, 911673918, 243426142, 714124086, 448223029, 755048869, 992687071, 1044039009, 291409113, 839527440, 1040609033, 232880222, 698066222, 947142420, 899975647, 766551912, 94854772, 212519272, 23142158, 482192760, 830416864, 837929402, 426672201, 850579709, 40972672, 89304305, 664764204, 591438682, 168557319, 609379102, 434295888, 21606093, 39282559, 579306019, 281367056, 569746351, 336871574, 981696586, 392388111, 71386950, 848842449, 594186076, 248776694, 977895160, 497913943, 1042118284, 1011622201, 328513768, 607475212, 594535179, 894077525, 898726768, 957861301, 626574191, 206108828, 309043531, 517526061, 48921498, 783462708, 408836562, 641455259, 671527188, 144872023, 480702227, 341460769, 426223970, 322438568, 940048001, 879275277, 501210751, 590405669, 40946485, 588376919, 133015324, 353263367, 738432510, 445219358, 984865487, 949894135, 126854802, 502875020, 167176461, 614324579, 17314968, 398289791, 796171214, 165275266, 186219308, 707504143, 277892813, 270669170, 122030966, 83815815, 4265009, 687433864, 646200184, 228404810, 275072216, 312635349, 114423462, 127726222, 532883365, 541585421, 652874921, 839553856, 445782145, 923362970, 935950562, 169175759, 361419312, 900618759, 618463945, 337465415, 184962206, 697023174, 454231774, 551226982, 261866841, 360402643, 171791213, 844262403, 426715896, 871970765, 32823226, 730423499, 966351294, 218910399, 626489770, 46387342, 355250275, 106443355, 571697190, 958848413, 1031920119, 1015295721, 934546736, 827063922, 424984452, 335470996, 452953785, 941761511, 184346380, 996949946, 198051712, 638264802, 571943045, 881503604, 13435552, 616440703, 924301973, 1070301965, 321977030, 219830124, 210116541, 546090330, 273111029, 507852374, 616453648, 41892353, 393100048, 119309107, 395759844, 418567477, 110898325, 203191406, 133296989, 667193502, 799627431, 26246570, 951053535, 411808933, 422218193, 2388505, 852445866, 988004787, 720235052, 943127116, 748004417, 875338505, 281236254, 754841931, 16315527, 184119398, 297581371, 119174540, 869932483, 567498340, 236026394, 729961821, 290838607, 360991758, 781175883, 246678695, 174977252, 330846188, 436817823, 672827637, 767184510, 1013882888, 1043673808, 790639667, 347623413, 677543332, 895898890, 519634477, 983296022, 155723926, 510325433, 755451411, 917506923, 144759136, 542412298, 160592668, 297849495, 729021249, 606076220, 891989724, 47632954, 822656261, 816071160, 290032794, 30847858, 778021937, 425238049, 607857943, 1028200551, 873687912, 264615473, 736862477, 690715634, 793754184, 777174013, 443076776, 468702481, 994756264, 594480219, 356656070, 31793266, 650655360, 1059897607, 527431897, 311871219, 1052397604, 699572508, 465455044, 756588202, 185433342, 354333696, 775345464, 325948622, 596870841, 752547562, 415697566, 320661785, 13476768, 932598306, 628530234, 503622511, 302789562, 79214218, 930930630, 314986172, 44108388, 927251804, 938032003, 941552552, 803196944, 194931925, 39706747, 217043298, 49794451, 9174024, 591567462, 570005810, 124821465, 471168998, 469024078, 267145761, 227264551, 380596000, 412597771, 941585784, 444810409, 434942157, 601110793, 910919968, 90305384, 591446685, 133442339, 684801561, 340202142, 359483778, 264473430, 479513871, 653748865, 894039895, 149323844, 347519994, 828218479, 843855230, 1029684112, 1011789228, 134075816, 100646335, 667049071, 275109108, 559466645, 667165834, 17901096, 483778646, 998993361, 639506355, 398652947, 477200670, 251345308, 485120687, 760555491, 608658687, 878561716, 186295480, 935556643, 709077341, 275105226, 840216610, 747915969, 930723246, 934055464, 75815597, 706623596, 251207138, 876418282, 1021335759, 834626470, 959231562, 287851966, 610838963, 236016698, 921223465, 942524648, 772677986, 1048620926, 224592604, 746671129, 853657972, 1025617926, 347568273, 918655963, 392342307, 562985687, 252345578, 501339294, 1026379948, 794812885, 364701017, 887418006, 209951733, 549983634, 194200496, 763184813, 821535983, 161976739, 130759169, 928498970, 757894091, 194311452, 494811290, 469593074, 26754400, 1070194157, 246939533, 180637824, 105656921, 883876968, 546986717, 574187689, 557478942, 442047424, 335260103, 697342041, 75947594, 752924030, 547850399, 56784729, 246314178, 500035158, 662353296, 439565113, 818923952, 406886258, 45663944, 500684439, 162969448, 839324179, 822160650, 325934780, 526808827, 830590246, 837035996, 101011844, 734448094, 77060177, 774369531, 570095007, 558387690, 912591814, 653791457, 928669567, 403920414, 927522221, 775853317, 214264864, 639535790, 1012764756, 424488438, 716967237, 439686640, 34247511, 863320199, 112402400, 497558941, 635795762, 589188768, 434596902, 869794734, 104935243, 53882479, 8415713, 1045767826, 919412860, 786126815, 199124478, 432235016, 68043851, 529007171, 910214212, 617592732, 492577134, 441342723, 590131408, 785524091, 120811969, 695726357, 675400184, 711199389, 426351429, 349807807, 64735337, 76693184, 204406381, 996160427, 272814539, 1026988355, 927876634, 53466134, 326170990, 354902737, 141411321, 827528240, 960398286, 691510553, 1042150940, 493706489, 887394505, 1005636399, 406994122, 136445769, 1010220875, 271217882, 1052766435, 70763006, 436451556, 920081207, 607230002, 851357009, 272019744, 70788539, 576656201, 620453378, 755415197, 64055500, 419200337, 642807054, 111737502, 743087434, 902254852, 976076805, 101931366, 550441645, 101776346, 632598338, 508157648, 500687997, 439283325, 289836067, 1040742431, 45389530, 877405393, 1708575, 119681190, 529821771, 783560253, 578078576, 753622504, 633591735, 567930167, 1050415839, 137546105, 465503608, 405955906, 735023248, 687298774, 50492766, 852347291, 684951641, 919900189, 991618602, 144953357, 804147951, 355775424, 510456892, 136706098, 1051850050, 748342499, 512679224, 900384155, 808058221, 167191549, 390578768, 24224404, 277665194, 72993859, 988581854, 429433584, 384327895, 703595720, 180989520, 387216226, 222297682, 872109530, 441069021, 964278564, 228313969, 390025651, 292274477, 694433276, 114723428, 911201563, 522132543, 971824841, 779536391, 123105904, 103677858, 918866154, 234944240, 298620257, 391521515, 352293594, 625060243, 458218062, 319702888, 891387625, 88462940, 810751114, 1029602804, 192295105, 253434948, 1031459143, 504272518, 421380878, 1026810138, 596019374, 355724331, 376679604, 400533279, 235025035, 431192200, 126245572, 270031292, 1019815063, 884709350, 426084683, 250060872, 228012297, 758972084, 128562950, 538678155, 544123432, 369080662, 968577638, 731718547, 478288871, 633186758, 835252152, 90550188, 100786903, 536656998, 87046319, 1057019807, 530118746, 128486249, 550380403, 920270405, 375044120, 214709626, 334235958, 509253850, 437779824, 356890706, 474144766, 612205505, 915112913, 1062720552, 163691010, 609951439, 381245715, 322769637, 428135056, 1019162197, 329273541, 852729539, 435606136, 989176563, 1010122054, 595926018, 659089971, 227438511, 291362998, 81490957, 254975793, 8052632, 348646284, 372443963, 705322977, 464293949, 1042775889, 667409598, 940799259, 769547301, 322231955, 448824974, 761795111, 804008875, 249609336, 988339509, 296317379, 860413509, 439736303, 788498902, 810983505, 487784436, 54881817, 881718312, 227330333, 465815225, 1034900916, 643041981, 354134290, 318377752, 635823957, 461319251, 400687696, 97964649, 443347748, 377159852, 181824097, 655630051, 1005717497, 602151068, 975648285, 719054114, 94530976, 239454604, 928422180, 319388175, 282601021, 121167721, 626913399, 754328143, 1039814416, 985049869, 553208038, 500623842, 770053641, 375262545, 599191481, 1006633353, 31983121, 683566176, 668945821, 788176354, 166919543, 516706989, 686042940, 410721409, 440206284, 396719237, 251165009, 869534664, 434161322, 726818068, 1008025073, 227837727, 182110632, 591598609, 77776305, 959723017, 78817893, 768595417, 204368073, 655999856, 913001526, 229442061, 333922307, 475594394, 1010953934, 848104592, 391144614, 654787971, 751377683, 113195292, 671795442, 182170031, 208274676, 712670389, 29378380, 568772804, 856589495, 152572375, 437988907, 943470297, 478293146, 14256895, 589799461, 743074565, 989688787, 206098503, 224661329, 825095875, 200755308, 308283533, 263345997, 180032665, 1025479553, 526580402, 300542877, 439944796, 255370695, 322536473, 650671903, 615839292, 1039769399, 92255035, 1048141734, 701284530, 595486616, 88869296, 761623082, 517335252, 239893257, 172672919, 1014004879, 1037990245, 101327363, 573612331, 524742155, 146904441, 959736285, 692557777, 1072891585, 897762601, 229786934, 59503757, 709068664, 751302114, 87116988, 822018077, 440539537, 519243513, 131159505, 66021319, 141126310, 888877365, 84616168, 330329338, 44484721, 89624563, 820281353, 433144219, 186541804, 902805419, 286813386, 537784377, 257278841, 377794421, 768528525, 500809353, 467903224, 193517434, 1073271763, 486554368, 723854949, 619994536, 797151322, 309564151, 408150866, 544304817, 818536200, 935557880, 755258889, 1006413633, 611743585, 164788342, 722505654, 650137086, 789063640, 788548710, 652985271, 332191395, 760535024, 1032325150, 1065024241, 366687852, 879891759, 1037368497, 639769891, 659051855, 189794005, 13565005, 999002866, 169653862, 468178733, 942907554, 886261070, 949601109, 1021689107, 380667000, 780305379, 1053090937, 326462493, 978125863, 835208899, 231723715, 51640921, 831242446, 324922245, 387318920, 711786491, 735264755, 65725402, 1026418818, 264014569, 131079084, 662404853, 692844589, 761117531, 1022447043, 944135870, 757913264, 675692095, 586193082, 2190678, 378008204, 1627691, 608174701, 816631630, 273659698, 999928949, 36123079, 604991639, 53241046, 49014740, 941683445, 859553142, 735735807, 29660470, 647979858, 197191068, 224638325, 11030398, 648505686, 385954895, 1005260116, 997223981, 857691547, 981264459, 979422250, 205150204, 133851057, 1035092403, 732131422, 752798202, 255614321, 914456465, 524230388, 288301029, 939152178, 110138017, 540614614, 206925208, 338650064, 348251477, 799420595, 493759958, 44439429, 937093074, 993069561, 405073371, 673474304, 761114303, 818283255, 372572332, 460830417, 174961478, 856160199, 795267759, 506852708, 56439454, 632876860, 897082489, 898913329, 426243174, 840989985, 244981807, 904665990, 1001063434, 1057635769, 679905643, 1071799218, 765913855, 1061996468, 586983104, 473291090, 593790253, 424221653, 392808218, 837067658, 426232700, 805576633, 716799247, 88674623, 5459104, 531732226, 305172516, 282666715, 698070098, 752637606, 398093594, 555219474, 1013988061, 55489130, 335524047, 54260268, 649308817, 784304676, 1066658187, 594291792, 132489223, 51022861, 475526, 318900081, 253490740, 750204823, 923784224, 503266610, 526985539, 1031147073, 1056930632, 411571015, 705824454, 762890382, 921518243, 941149046, 899061436, 618128438, 430305718, 63328752, 902357809, 377106045, 240844861, 737115886, 557530813, 712767994, 27595000, 847169656, 919220669, 617939622, 447041652, 746580110, 681785986, 535556777, 984352302, 221623679, 1067161028, 194413286, 887500482, 837968196, 335359592, 364648661, 1044889573, 367392309, 442469278, 511097849, 650611098, 103311015, 648897475, 123068313, 974509414, 1057791260, 707910822, 794304922, 23971268, 949573920, 1002924748, 826755885, 914536572, 1016393585, 295821090, 170829958, 573881489, 350490571, 275933191, 166691053, 892501386, 676340523, 140192060, 564638220, 113427238, 392440717, 63374764, 1000397295, 234233381, 376125121, 629379897, 237148802, 700604450, 370926882, 800876370, 184877833, 152116334, 475822334, 694311844, 85870731, 127126268, 584519988, 21299818, 324182360, 218195689, 448271572, 316651036, 764387640, 666053767, 641337208, 546225953, 420568173, 9470964, 43373402, 6460034, 238771697, 319199434, 726548602, 1049362308, 554905436, 435794712, 815489050, 89233660, 393711581, 1045447781, 417625155, 345717274, 236120663, 470018911, 176019969, 209866260, 256189283, 263679629, 814222077, 941558027, 672724611, 843074227, 479206998, 288821386, 973197203, 890869048, 270119844, 445016271, 962391203, 888792018, 1072075764, 519271056, 333164667, 46241357, 249131382, 707508431, 608837752, 1068331538, 287954500, 965837429, 33906590, 995035116, 490321056, 920571970, 341977654, 251233458, 268797907, 608486247, 567086904, 641946758, 620909125, 722695237, 561715635, 124888883, 711041427, 906589693, 1025643308, 813597176, 121598040, 93590446, 101343501, 71239042, 309804519, 879795010, 364859154, 557115883, 351789738, 320090226, 12404951, 453957675, 61896997, 537331777, 365892710, 741009766, 1071563239, 855090105, 448140017, 933059986, 44953723, 1404778, 113096657, 989789642, 544873736, 541967607, 895467353, 1043158670, 845986037, 877399737, 22898246, 431365783, 205096110, 104783232, 1033897339, 420515561, 371055279, 721022932, 207571346, 698299090, 509312869, 682549231, 741249595, 831679668, 596049754, 437731493, 847620871, 754781871, 107207553, 1029157031, 56960797, 812557152, 579767260, 49415718, 132644733, 597364741, 325818363, 56478194, 72529978, 631251145, 763616156, 1043450398, 365471110, 114419556, 937789457, 417405279, 1019138292, 20008054, 645885160, 153839601, 454048548, 98745079, 536837666, 184746802, 945472251, 22274976, 916997827, 946189513, 896819091, 677875929, 850125522, 709040800, 944274336, 765777978, 1069726687, 336117424, 302297831, 827313986, 802877579, 472014593, 929685905, 533640105, 1011368265, 733369084, 536075118, 505127547, 694919847, 134442428, 509769849, 628042642, 562027754, 23900349, 990092169, 493811113, 643470304, 429837726, 875536819, 632235943, 959422010, 411684932, 848370936, 342742431, 1063254855, 179576918, 478349027, 577054456, 46884567, 50387489, 293615222, 710982633, 720044837, 683142179, 431413604, 188297574, 959876645, 738182370, 307930790, 422981710, 629377601, 977208519, 859477721, 962636736, 483998234, 295111125, 828910862, 477870375, 963417656, 644758816, 930798150, 899289023, 116844221, 853862278, 233948894, 697835094, 168787219, 484191368, 680955023, 464937045, 705547127, 896667302, 194188607, 504222379, 725321363, 152621549, 247733014, 520062248, 661984454, 192593565, 304080802, 214952952, 457918689, 863441699, 30127461, 1021130595, 836081355, 1020470326, 531938926, 887060819, 532008789, 699401768, 412965185, 649461163, 449546969, 3268309, 845450103, 1027490705, 771408835, 968260911, 890305379, 274497988, 700713571, 574503945, 1013255183, 446053905, 65054226, 498222476, 885004881, 134901719, 867891098, 1043205581, 128502782, 937415815, 585294875, 216151757, 964048916, 191829024, 890804686, 869773849, 948267574, 340584869, 481058575, 755459151, 368346517, 859607619, 409186640, 643305284, 375743159, 72335719, 995066517, 619163873, 903451388, 456669431, 300694749, 588010258, 240223654, 452457676, 38939057, 349186535, 61711271, 182918988, 445798202, 951718340, 825438313, 479751252, 397675178, 122164652, 481001132, 314222336, 521679043, 858729943, 955094223, 666536524, 39981682, 918296638, 362009962, 530227385, 291172056, 544987048, 32048272, 162401411, 593137518, 855769847, 647168550, 483770488, 954874071, 465357487, 783440622, 979794557, 430747424, 112050794, 1013060995, 313985582, 404836328, 225590054, 924497819, 132873285, 69028634, 256209688, 798074341, 712450535, 359350722, 640535501, 741827724, 672775700, 585341420, 685917722, 78295823, 697947685, 653079188, 165266877, 990486346, 879532909, 600785792, 97181688, 772737178, 507724152, 272472543, 504418283, 556203033, 32455960, 583013257, 29355382, 618975147, 562621100, 553782625, 517331217, 21417200, 179918711, 521599636, 781060033, 179087078, 647161577, 776531922, 617711915, 841591985, 1016272187, 754733580, 386948664, 644152231, 842896140, 6624565, 710329462, 846578471, 1067586863, 441125795, 800379597, 559519043, 1030732599, 1040066438, 461544014, 165904855, 252656830, 300786262, 157312349, 251328670, 34128798, 375980801, 1045610723, 817947372, 983409197, 412007898, 895892678, 870686733, 103505987, 884859317, 737523527, 863192780, 841856853, 580687300, 300492491, 1008707080, 15500606, 658857088, 121787167, 671684107, 214214918, 582083730, 443466809, 249584703, 139585057, 671648436, 707620365, 628652295, 283810597, 47266234, 947378897, 519858929, 681592011, 411018742, 16555110, 10750011, 968177419, 700328084, 579024049, 539247893, 112683595, 518137642, 467041060, 471470835, 381548090, 398903768, 713851947, 702564133, 51469253, 512114440, 467880720, 1047767416, 94653262, 379703356, 203141051, 854444706, 903298303, 547308072, 625932572, 735892033, 375354652, 244311739, 16988782, 998016822, 701054869, 830244361, 130913300, 771343151, 511871245, 761175534, 428061250, 918916192, 586254125, 62565767, 105252058, 795939432, 1028479851, 764950964, 1016878588, 1064395938, 229199262, 487471797, 568954736, 19157070, 620872659, 694695952, 991207404, 815909219, 655297004, 110087449, 588569500, 469474990, 401418881, 876943277, 942361273, 536972971, 787507798, 1052319756, 806053851, 214044393, 216023411, 984620999, 1005627164, 147564853, 148883099, 1038594651, 795529550, 1008902820, 195468486, 973346938, 359162489, 61833662, 501756178, 479900056, 928934405, 71821044, 608447520, 1486996, 100935639, 388590541, 665893367, 339052745, 841929214, 1031795718, 579927282, 868435879, 979257719, 838939485, 551441346, 335044321, 748357193, 864461449, 405492072, 315005944, 507131992, 18789284, 561916947, 36253351, 403330631, 709680956, 113826691, 735462068, 674828688, 159824187, 916992706, 566781902, 675028233, 793513476, 329973114, 389526615, 40981317, 557986505, 982671876, 248055430, 592304558, 290861137, 951601601, 1024044029, 801613929, 631435211, 421298681, 1073189667, 194752781, 909636048, 901545686, 852600225, 813725851, 175038769, 450150060, 491096528, 578004320, 364416276, 833520506, 58261383, 170242790, 617299839, 318331674, 629616517, 31905254, 918559701, 483847355, 750246717, 626234226, 818302046, 1061556820, 109120318, 344674166, 851639650, 891485975, 1652087, 134402415, 1037214052, 293002898, 340356414, 527800669, 911418058, 417532977, 482254925, 893856725, 544202841, 776939629, 105738030, 47963349, 944793428, 407885011, 409630212, 551509422, 306919885, 223186313, 181729162, 835627799, 1023556261, 599547578, 493468566, 483636482, 130274598, 609265353, 303278064, 627265889, 964300793, 837783701, 46438203, 341764524, 728320663, 432478621, 582036528, 763093092, 547715454, 791178769, 907842045, 494888104, 821164122, 585291986, 367104334, 512999713, 913892629, 184891923, 738785367, 853411215, 782732858, 229397677, 366934485, 992721796, 806564863, 288073986, 67100887, 973209431, 920270702, 744115958, 686591109, 101141119, 331193065, 687753346, 992726342, 540415834, 384984285, 492527535, 357510643, 168102125, 792806981, 27808827, 282094077, 201705453, 477591097, 351192980, 141907734, 99768910, 10976585, 20491582, 2835086, 1063044234, 786230648, 549616563, 866788749, 500427798, 974967469, 986042741, 226814948, 408052888, 956167747, 431505368, 968659278, 918514146, 573285334, 290516162, 109321694, 841688039, 1068329819, 251905722, 57698714, 742911908, 152881764, 138432990, 155960712, 107278403, 292571805, 839216514, 874344142, 28633614, 1047028672, 843563722, 685396639, 379577854, 356644634, 383233216, 1042768261, 209588297, 246398713, 339163511, 743740617, 640851599, 841933224, 714741294, 116059647, 306693373, 182508316, 191226586, 501487129, 765121024, 1035054100, 589540946, 105184796, 1035649483, 92451488, 647617460, 4092061, 504702811, 604880521, 276903106, 1059319870, 704128597, 317237128, 412466566, 269665865, 513542904, 455018449, 305150547, 795650531, 249807082, 976396017, 974018524, 120812655, 1042048717, 855387705, 178624350, 162826915, 950834662, 906170703, 190624512, 921651589, 776775431, 930421658, 812485915, 624663989, 576178314, 1053742179, 299259150, 240386913, 892131394, 467976473, 311906027, 140291516, 614001130, 186528875, 440802554, 133465011, 446999189, 179969207, 584321895, 323918211, 344345603, 61929242, 225775587, 347921263, 708171966, 682429174, 543724454, 700966503, 923817296, 1060889018, 602212912, 845087928, 956856798, 709195947, 882463375, 245882945, 878271418, 1028892139, 323691814, 686233173, 733577069, 824039518, 787982418, 486613185, 411435257, 350650379, 746401499, 229565230, 670355145, 478629999, 379994009, 338847155, 43016348, 167026425, 28350893, 954943858, 382622844, 689669410, 55479911, 402388994, 104533497, 582936174, 277750428, 984279066, 823100298, 295912501, 502846216, 20931220, 530571520, 167674364, 506326213, 432834376, 877474172, 3792497, 588608664, 687412402, 1047600718, 159403778, 201780492, 643737029, 247427198, 398564467, 362146321, 978087785, 1012357977, 183228010, 151886437, 870239411, 544832730, 356282265, 986764412, 340872159, 404062539, 450129246, 890868741, 239580513, 334711427, 373000760, 706560240, 917244121, 562073796, 212750551, 137258905, 130158820, 451367406, 250074228, 605629354, 255364438, 874829220, 329496546, 976667801, 414182304, 162552783, 199489914, 68793082, 498731569, 650483063, 825937923, 299542309, 401877077, 566750355, 970496470, 183766210, 799623453, 946455745, 968956798, 712886167, 604332056, 456558639, 1014729903, 118395708, 580442814, 1000540261, 171734531, 790984623, 88829546, 561183493, 852509996, 736013039, 432947359, 1017304394, 882723876, 108626348, 340236543, 299314075, 731169893, 936063212, 984540383, 61393103, 53717642, 320437182, 691565815, 338427714, 822253790, 6695928, 598006452, 422114192, 954676194, 470217636, 402405861, 586291127, 300663640, 573126051, 595564533, 746871423, 943779462, 141735748, 225699571, 492152704, 1018594428, 956305970, 550211196, 923984709, 137308838, 308177678, 724674536, 144528971, 354984218, 427573692, 202209032, 650701880, 338584386, 69507630, 819017668, 685855745, 508968152, 422580834, 287627641, 100269273, 775217268, 189542771, 709585429, 290701193, 279222022, 7279315, 1006497055, 236180868, 709499938, 122176616, 914609914, 888462963, 846392222, 748489304, 1016883625, 251833703, 349392424, 332592166, 58103229, 139119029, 443461433, 188566775, 125598806, 113300166, 30622616, 529104769, 615767860, 87473152, 1002997319, 504033237, 85511729, 433003065, 146738038, 987208922, 459511635, 781400743, 232007693, 907101724, 893240617, 1046237902, 417030958, 582733653, 493517409, 445052493, 659515847, 490824727, 708601619, 125254170, 550475079, 471502023, 164453749, 225218061, 342595394, 808542111, 21330220, 126602634, 278498739, 707731681, 1028919397, 231064181, 933543398, 623445662, 923054604, 604592734, 510270242, 995159327, 685794875, 797571736, 239828935, 669712144, 451151740, 516248641, 70298171, 258439598, 917550302, 155632555, 979000653, 48401403, 906817376, 673419824, 661264079, 44423386, 438860287, 492544547, 440816538, 492896289, 480180965, 683586603, 354026496, 206662500, 288392272, 349859185, 479887855, 199077694, 291582402, 290409026, 46781293, 969552392, 600835534, 145174884, 922991774, 363529308, 899201623, 876131342, 672435291, 28928973, 452874306, 1004883961, 321194542, 751803056, 164274003, 323651357, 117636477, 146639277, 3602968, 447569471, 889888977, 973933216, 76244071, 955227871, 1021845230, 476229618, 409859959, 136949810, 1059617459, 80583592, 733103078, 720215356, 200619353, 404512543, 594774250, 142328604, 564983699, 613293791, 897141598, 63512692, 40875364, 74684434, 744904905, 720932941, 1022291750, 815801468, 100533875, 200687323, 881572173, 833123123, 251343989, 579155035, 217102249, 325932896, 538126087, 399266330, 415882472, 233657023, 1055818319, 49699522, 577484840, 98607373, 616072406, 109561920, 918498916, 172378945, 678864237, 894636374, 375865338, 771965552, 921189001, 276160584, 908213524, 272932269, 183854242, 299539993, 982309140, 3636903, 1030185686, 54807341, 846020811, 1005791279, 388307098, 579642605, 581820504, 355412051, 735243974, 82131560, 81014057, 733082419, 565103574, 644049836, 376901321, 944117097, 719633268, 502284639, 40093480, 744500300, 593575333, 517498481, 114807133, 483422837, 825621451, 132022100, 13340150, 111638334, 948674018, 406614751, 654436646, 190653421, 983041101, 1054785708, 867996902, 59241786, 14785332, 1055247032, 5249446, 903034252, 60205725, 862427508, 437966767, 32052325, 920189211, 664959587, 155644191, 237908639, 1049392851, 190992531, 724338744, 1051061871, 1064053341, 221811131, 710681339, 491152633, 362676855, 914880257, 893390909, 380859623, 459673805, 1044185622, 199728379, 235040486, 201171529, 49925716, 844296594, 946755906, 672450899, 251847948, 721452240, 710940431, 508917552, 702826543, 173084817, 295777562, 621242388, 622292088, 72848034, 612112720, 789646077, 305278341, 800702017, 826572841, 960127649, 602057112, 1026070953, 392731367, 856916119, 407834321, 86402621, 232868381, 371653547, 206059063, 986449055, 878057190, 328197213, 144953028, 1027590286, 917070848, 664526736, 61734533, 125332924, 651804375, 128017537, 19127224, 756335360, 405690029, 342693232, 842913123, 349252598, 1007334383, 447339824, 122209110, 685186172, 457705041, 960846620, 340329209, 592214818, 1064333281, 285589230, 17196690, 609432558, 455175634, 666000657, 600327621, 913081421, 458353446, 406464287, 1021934725, 935068666, 312695346, 72164442, 117281873, 633969987, 235519191, 928890884, 668608217, 683603716, 419640960, 567116988, 458876481, 317405805, 521320765, 520588733, 10376992, 130230465, 729821713, 193556336, 917058118, 460689707, 264050161, 320427314, 78600455, 556691761, 394096216, 646271336, 361499374, 582951342, 506369625, 240532466, 739434206, 383266317, 94931739, 975328061, 393678397, 1014297986, 618177741, 397776277, 34921757, 304411805, 396534600, 517045119, 527316002, 682016951, 741031043, 162567938, 575703966, 271903239, 946019165, 595587126, 890840591, 154811215, 702319772, 36479898, 958058407, 346539288, 1065008240, 674245376, 242059980, 1030184867, 276208785, 657217986, 730241206, 903218322, 399746538, 809502071, 265232841, 57133544, 916658187, 1040630003, 926314699, 566411617, 148397458, 220615892, 17399264, 256940954, 158163693, 549295776, 848431883, 77349067, 106879658, 709245297, 854301575, 973895913, 254749415, 530615542, 652241340, 985546559, 138080659, 741744785, 894949576, 885903268, 528991622, 370998820, 304374261, 647550022, 746209670, 987107054, 481950439, 349238783, 253104090, 64536734, 204684031, 419187393, 1022440448, 347989627, 422590275, 6217896, 941204437, 858722778, 865850272, 142609315, 234298274, 299472410, 77818983, 809029933, 388280151, 679326266, 291405393, 21569214, 957488647, 1017784129, 1062571150, 1047954919, 986662996, 791193554, 397016879, 616215007, 545471489, 651781218, 317894196, 483932777, 71758227, 650942856, 662066413, 751425055, 857012847, 451510563, 589414199, 418193049, 418100274, 653216122, 919584779, 1018120944, 1052901893, 280230675, 951716976, 739267744, 944792329, 1054651736, 613912327, 761455756, 595065914, 414489044, 574620715, 680777048, 358571730, 964787070, 946525113, 717615813, 1017768533, 247982747, 1024827438, 310174248, 145943548, 638149955, 106557854, 904102612, 693655932, 721440044, 618771364, 172010607, 1037654269, 347396948, 671030131, 378635764, 866541284, 698735420, 324993497, 973835026, 407913154, 449087681, 373058145, 896224702, 42823094, 862251526, 140835270, 589483108, 235135855, 18095969, 613320886, 47346229, 390371034, 752193809, 849815171, 96676839, 821944553, 946508249, 301894413, 977474887, 619662001, 319439031, 438122702, 398379406, 498722975, 374090297, 676598918, 399817455, 841479886, 927917396, 1071687431, 1051492796, 1055480682, 517815300, 278521937, 370236931, 363747893, 391770701, 711945747, 131108526, 853820836, 577906699, 206874677, 268928850, 221500403, 70782557, 524874013, 240318169, 478385584, 607871577, 561265020, 485630311, 49814464, 273376948, 275754739, 328489055, 625447281, 131172410, 1065377728, 1019154907, 840275629, 903542728, 819371649, 420279789, 832749885, 663535128, 409559140, 267697406, 115709211, 256846959, 91130326, 971526017, 508607869, 919452106, 553742746, 251164563, 250212564, 519989334, 43621777, 1004553186, 18369682, 281560358, 5786595, 633513936, 968462725, 766892018, 221394815, 1037680109, 220612185, 841556140, 316894613, 1058042152, 682737306, 976616192, 971225118, 273540632, 992553112, 219175226, 373087443, 1049634071, 110287914, 399000269, 468810310, 542462114, 1065281309, 800315650, 210986266, 448894570, 697963216, 465740665, 1037624218, 309608344, 595946525, 848640862, 463803814, 655867046, 744625867, 69132790, 950807978, 16267344, 409913994, 350925208, 660455945, 401011707, 857580565, 841571209, 672281288, 273348434, 914738557, 832988677, 610030274, 856089695, 191260444, 232871498, 643283300, 1012260237, 500004658, 405989000, 882997720, 271485375, 188359698, 342321060, 93952909, 462046362, 517643582, 761545256, 1001146907, 279922899, 748101397, 627242248, 541997774, 768001422, 224075168, 233629555, 128900315, 788822484, 614130385, 968287039, 18489223, 951060427, 648167844, 691165666, 882960812, 360448157, 179296580, 520145909, 639829445, 125670338, 310936956, 669528707, 973967841, 425718370, 149535460, 1051140443, 33579922, 1036976502, 441358216, 399235128, 8372289, 1020704797, 56600738, 905578269, 636761243, 387446268, 464721696, 651633738, 763369982, 195225074, 739423928, 200828582, 85480198, 707976285, 78529357, 214627408, 283543395, 933774196, 640189016, 667200550, 946541601, 159663523, 536784310, 501450551, 1030200723, 738217005, 657284419, 68779419, 466601521, 190273489, 640998695, 283652402, 715240157, 34343953, 4424760, 1013662555, 242304615, 107633635, 17729982, 123396366, 324683841, 317378449, 945157570, 659722899, 245480700, 371663632, 10956285, 495760397, 95710923, 131354330, 246371495, 1714848, 860586011, 529260731, 439994599, 668266770, 775143774, 682773804, 684497612, 949999695, 348480222, 370218929, 1068036366, 491642350, 101345104, 1038044852, 935531454, 618242747, 988515128, 188375438, 404997397, 956148352, 286143836, 521199316, 907954142, 491210396, 497579979, 579808495, 204085208, 375345850, 678772818, 137567915, 809055410, 704817257, 59639590, 580045427, 685463556, 595680430, 74455939, 635858023, 104986830, 192299451, 577187253, 75443559, 570582382, 791664836, 445540933, 982353945, 24219649, 66755743, 733795543, 325199421, 686502148, 121204667, 390734270, 777740336, 1064741890, 419597163, 784322, 332747334, 473928441, 747312659, 1036279489, 423007381, 127122663, 813493398, 1014338355, 1006761378, 318180041, 464678223, 609106639, 330797293, 129383092, 203629753, 622263511, 214707514, 93107642, 202405128, 893462356, 62717996, 1016975290, 16503082, 532986456, 657797310, 495248292, 1072791218, 280835806, 52185158, 620734598, 1023450153, 935309283, 345890832, 788196665, 754567648, 993287406, 590885484, 103694489, 292592468, 158323408, 59603352, 403062399, 389314830, 949854264, 853641559, 591948688, 827404536, 426609, 87323743, 402154759, 729141369, 459578981, 1063479866, 854864252, 931102829, 651214910, 274137285, 794173905, 487002823, 853672535, 997718589, 189722067, 967330464, 847511170, 761433228, 702201587, 818081617, 913519734, 689381661, 263751229, 492066072, 330991203, 501188785, 44515903, 747814796, 165230453, 257599681, 380214924, 944376283, 923600951, 874257374, 1018442848, 277209006, 346060830, 682938968, 909612601, 619451804, 515437969, 9506811, 865919992, 327693355, 479786571, 361555250, 566997715, 60355026, 125885811, 1053619, 430064287, 285461705, 138061786, 839688127, 504467401, 296844854, 209867731, 634298754, 916937424, 891794368, 380581119, 348467689, 161234080, 469172987, 645638575, 854054759, 864787811, 195595968, 735224782, 722414287, 772907578, 112071860, 754332736, 594049807, 214694711, 379538501, 2816280, 782967026, 215793137, 153327149, 577591116, 84884885, 427431178, 199765695, 971916742, 808567368, 485555353, 56287635, 710992733, 732773071, 461810736, 581595618, 237889099, 643172431, 623423990, 890302030, 1036339163, 549955474, 791525108, 637658685, 745411030, 228862385, 156404970, 954346793, 1002768062, 319895043, 81548693, 243725881, 451310576, 31391269, 291076267, 44163127, 292990856, 402500755, 752569146, 480572806, 145336261, 735243816, 387661904, 346756875, 762572079, 261218782, 1048550768, 440815545, 861232451, 485189671, 157891520, 952185464, 122702217, 962773701, 492725697, 632506989, 27986921, 164152950, 80900814, 537035410, 648317143, 982158560, 113650129, 1026056508, 539405615, 293533019, 76167847, 1050199194, 172133319, 282658091, 962873044, 691215584, 679374511, 859606402, 638165169, 232914762, 899458444, 734577370, 129593158, 166321957, 568782608, 949575840, 95543070, 638616394, 117363106, 284979784, 961140518, 937736472, 664594855, 144514832, 1067719262, 746354202, 350936734, 822983801, 49950602, 775228060, 603031127, 455589481, 384247398, 3598168, 21445043, 798966970, 634668589, 933643373, 57082631, 449385653, 616483260, 302542554, 24241045, 785377713, 723672859, 779712086, 65241151, 352460138, 186998310, 445812746, 903565244, 149663660, 800737039, 987563021, 730733891, 805487366, 697209539, 241245995, 1071573891, 11190826, 83250597, 840232816, 346490785, 610873604, 253106754, 815780515, 792783026, 425968420, 249748179, 566100875, 555368184, 610971143, 578683264, 427483447, 10636012, 601311367, 699833780, 389189343, 686042103, 277698085, 209173680, 240951554, 854129421, 102537879, 728945823, 642217398, 1024682270, 566199963, 923592022, 260308332, 493636664, 129658453, 96995358, 45813572, 792561177, 966009687, 315435937, 860589957, 378770340, 702342969, 381235195, 576004916, 329846483, 541070385, 271705180, 937772801, 875969921, 270544377, 640576835, 303393972, 661573652, 261792626, 246627893, 984525299, 849908100, 966511685, 539142652, 476640119, 290759394, 808544239, 1072459204, 954423601, 594246261, 3070677, 711835590, 1063164778, 923887932, 1002951850, 596665706, 646993008, 713005113, 178134394, 917006440, 25950563, 859910010, 393722278, 271226827, 833835577, 298014200, 436176659, 427516542, 406183673, 1012836503, 420110731, 640641169, 594587531, 18278123, 943539998, 897720882, 967968182, 21857954, 531108297, 30500587, 436092407, 369575857, 790729236, 114857067, 874862640, 994796620, 85085238, 774600245, 970197837, 453421542, 197338296, 52467911, 444870800, 341910187, 580009705, 297838162, 343829123, 81948764, 1003794003, 737664856, 633418427, 733870087, 841543361, 310848742, 464469693, 744730481, 892695864, 507975276, 1050145124, 946713483, 429549116, 555907285, 736149807, 91275074, 329484875, 93435137, 1069241844, 956296711, 708128839, 860455235, 349722992, 525339264, 276323059, 771650505, 357409838, 334547311, 530524461, 911504529, 253143198, 590993175, 399413178, 1033091521, 431289313, 933282556, 590649031, 941779260, 282546778, 245816992, 1050734608, 898911665, 391680844, 338598665, 117853779, 1015241400, 789720789, 242167210, 928823486, 184144655, 535084521, 819584665, 436680511, 734893630, 100434575, 209403050, 164128919, 869273985, 598429062, 572618318, 562594952, 509453659, 585318032, 216774056, 548548072, 690196306, 261814069, 622134575, 384784234, 53348247, 1058311334, 727203520, 898980069, 990684785, 825162493, 763096663, 777528804, 782672038, 781629874, 399142586, 433457517, 726167184, 725510273, 277410223, 292051952, 1045263435, 426648814, 580396384, 899296781, 708847123, 1033176885, 741327400, 200891556, 317606492, 860113498, 468813101, 41920927, 338640733, 95134232, 380441169, 1034563312, 42350777, 778450079, 332817067, 791896785, 360162175, 359474637, 124911607, 482272617, 324671206, 837815341, 580178606, 325158521, 953879760, 550793960, 292173535, 987225244, 1066484384, 615267197, 121411560, 319671937, 59477445, 1011667181, 641729633, 24049799, 373497623, 87552011, 825638377, 936612284, 880524236, 865366805, 767647385, 780307219, 1056503467, 947523567, 981978332, 474783503, 316093082, 49088187, 282342482, 711166903, 597233064, 391725615, 320897219, 1048841956, 855164838, 715315384, 191953670, 437208033, 416735867, 235128612, 214102363, 218523836, 624561378, 17539528, 255301478, 699610449, 190043769, 81342212, 630831132, 43182079, 819908942, 992509127, 74510721, 875162350, 554413236, 229083607, 993882696, 613538778, 604153321, 652162387, 744396569, 377405651, 425130264, 207136761, 622416638, 570606049, 17706578, 390122552, 1005708079, 1066008811, 662488806, 1055574188, 304892221, 212973663, 577614533, 82985224, 976511993, 572536321, 484728446, 710270888, 571773951, 227087628, 509440176, 989357818, 17406029, 340768123, 20771282, 709314385, 557901612, 717107819, 835651488, 57084605, 64145122, 104632898, 24537783, 865734515, 611950323, 138873736, 473049903, 465188834, 675598926, 1003587737, 72498346, 525736083, 318290964, 147670085, 456636023, 263439384, 7981635, 771161050, 20767111, 804233512, 572554922, 167231296, 116118452, 858448956, 586941609, 435180816, 805922273, 590880671, 1071563293, 219945519, 634418165, 107592770, 243981644, 206871415, 958072915, 87843936, 813026063, 26893588, 213365113, 788373591, 321871783, 1033630586, 268749641, 549143152, 971901538, 513158645, 42835603, 1067363068, 1068458508, 802757434, 801473949, 57477664, 778995557, 1016135501, 544452886, 963628520, 472280777, 297835950, 1023574219, 61701619, 183042705, 673000954, 723303989, 900596162, 979903805, 540629209, 918597242, 360159000, 327183989, 187719591, 152965827, 770350872, 408900538, 658964698, 790994637, 213280043, 920706189, 867314195, 821557847, 911759151, 1054571456, 96130992, 775334333, 669525559, 235812919, 671999574, 808118602, 484382925, 330711472, 82688565, 692046936, 514598942, 663086628, 302642639, 782280194, 12025578, 502449622, 292398125, 1010808285, 936155492, 640846230, 393738278, 40674142, 348552440, 495721460, 645785261, 534533972, 687223214, 797780437, 302494390, 634841335, 881470723, 1019636755, 920322181, 207405104, 238900099, 971161011, 639202671, 226583375, 945606124, 501871572, 544679513, 880666048, 958171861, 867536714, 174545494, 674309281, 1062960261, 993949418, 851695303, 98446600, 41418286, 211125812, 624871384, 1011566091, 834746074, 1049584434, 501215542, 592029836, 776810732, 442703046, 231780832, 75558409, 711127141, 904700500, 772244626, 867031774, 301086925, 957699160, 500876252, 610687799, 143398795, 841533005, 117075378, 667799367, 179970623, 331237493, 748529574, 1060813318, 57248175, 376158695, 607254839, 1015799721, 1043427586, 98504537, 625680348, 192150435, 1049532720, 709597649, 741604011, 230567441, 729338429, 373738788, 57582560, 493907685, 636004142, 1032013100, 979592673, 872436393, 490823485, 87770963, 158628549, 413061426, 833794304, 833676031, 1015744310, 747520623, 196521013, 950244629, 966745442, 236735531, 20482088, 1042669376, 784313562, 96128934, 999870216, 695357295, 128617863, 1018207002, 990774830, 624328611, 557534910, 983593859, 153184815, 142056340, 30125338, 907630332, 255090021, 807711038, 346778502, 899130565, 460857682, 490320488, 1046693202, 416145309, 975629011, 109946186, 32530367, 960173229, 727708212, 608308277, 751687191, 1042272869, 80603120, 687094950, 119673333, 451774583, 905150657, 642295666, 274524104, 851881708, 498957552, 757769967, 982014825, 158089303, 663158380, 65674376, 580606044, 621995486, 665972205, 337894131, 421504656, 165512298, 1073587917, 925448445, 178066071, 659626443, 666959391, 108060312, 9369599, 215263672, 473714991, 540546904, 321667571, 959662004, 944446024, 609933578, 474847365, 685900567, 426502612, 1025656618, 430552935, 328363378, 517190189, 64049860, 276771072, 1054382069, 25415812, 677725923, 395915648, 427443174, 175248233, 1043380371, 627068903, 186441960, 321959345, 11127669, 448918244, 391066668, 370532164, 199488596, 664202321, 428227518, 965417543, 657687288, 828399671, 673729213, 326042180, 82118235, 265840096, 570549907, 336018974, 483487641, 816754816, 551247192, 863009628, 73969914, 232021454, 668740492, 235279971, 654985236, 438586866, 567640983, 577519091, 629834061, 826730171, 12154243, 516712976, 635181129, 800998711, 837703204, 1040991324, 669049702, 15001403, 18937255, 127643775, 207374974, 175849083, 603859245, 222388406, 363924909, 151209504, 457653292, 205040332, 150799177, 515846248, 284005103, 873908029, 639302263, 635086849, 106135657, 45135924, 667293828, 221220272, 93503034, 92853352, 776957347, 75382579, 870951005, 871526154, 190803111, 1043016063, 424353691, 563328554, 492675261, 908074298, 356887693, 814501004, 324268005, 742263421, 108399340, 982617133, 813668683, 211591554, 39624257, 51403922, 103186056, 310504370, 921293553, 484928251, 286288313, 596250004, 59078256, 266500441, 578676824, 260706086, 910570920, 250028661, 787582871, 429421194, 567891725, 905544777, 44002945, 217805179, 388556633, 63189114, 179132093, 718913872, 309656647, 250171757, 735003190, 862978296, 189674799, 551728382, 570174344, 1006378507, 9722417, 442225396, 881947656, 923100007, 263390571, 397096814, 714582566, 577053150, 637826837, 755709135, 136778250, 156127323, 108334811, 952826035, 857345607, 359209898, 558236042, 643092800, 913821839, 341873779, 729016254, 1030277622, 733642559, 760511833, 5902713, 576320342, 454067103, 253011968, 239977641, 733467074, 17934462, 879323131, 866084120, 923512616, 644383580, 68960263, 531741710, 16241040, 197965318, 815615972, 489390344, 1044401110, 977615609, 32441041, 450629104, 298983130, 141457179, 1020663411, 552935457, 10499399, 568235144, 33339199, 731556806, 711604928, 289288501, 562664614, 947594945, 183945445, 246572115, 426476813, 293824442, 156464431, 995400225, 708267770, 997028394, 279100612, 674226171, 752165692, 488476967, 104069176, 119726871, 926815059, 364410577, 963216503, 234808842, 55317162, 443167717, 628138068, 279015397, 616494562, 1068759299, 486690133, 456780079, 820724687, 325312460, 308682059, 900545435, 788347931, 490679900, 852986532, 1023750454, 427314422, 126738310, 931701367, 144492095, 782179570, 454112050, 911398762, 938611348, 566606652, 635726118, 422031931, 184824429, 263004148, 593447777, 1052797515, 603168854, 424702304, 119218777, 68558586, 96420317, 648138428, 31131048, 176958014, 754812634, 249444942, 639135552, 697680421, 958321005, 529131491, 810501964, 1041132164, 24361923, 498087116, 362534811, 585172158, 2138889, 153527812, 177853280, 247542188, 519164882, 398808528, 746127883, 275188411, 325429150, 283237642, 930846155, 189922182, 531508050, 891170722, 609608028, 407856532, 618574371, 870796083, 869053707, 830320290, 185589628, 453794195, 222697934, 439430767, 895108072, 402706726, 906703061, 662037541, 931374781, 62103920, 1011885435, 593286303, 919386839, 25014161, 1069018351, 783730174, 450438533, 694159169, 203455871, 212784754, 601043206, 160804521, 879882020, 279734959, 767237879, 607868301, 432409545, 727344140, 1035689959, 131065276, 6146450, 801061124, 641156275, 316902636, 892260099, 1032999648, 1016646574, 139440905, 1072313521, 557293018, 944333290, 837691260, 690578889, 809835991, 433587270, 768186734, 317654435, 779876261, 990005104, 835993300, 1034112788, 881144104, 285749142, 1030646153, 827019375, 697024774, 598463262, 865525548, 670545487, 49288721, 890695869, 923273586, 983067160, 464147564, 783954373, 74281922, 330267730, 265577413, 990052200, 183702248, 105302218, 1050584997, 772237075, 871607337, 863538452, 178275778, 522912894, 796389588, 774011225, 503145551, 306385158, 94639381, 1010424396, 1002595712, 122532160, 874325050, 796674670, 264534440, 610425254, 310093147, 777129499, 287513641, 188579785, 307410524, 74431245, 305526570, 137591947, 386687369, 295171497, 850658555, 396687395, 395604141, 769531270, 656371733, 446350253, 992183162, 991427524, 1055353626, 142305871, 442212711, 934069760, 693253463, 398646514, 776361562, 511005574, 1047771485, 1042868409, 213554667, 939553634, 95197950, 462950313, 503742924, 267081032, 369583321, 235147640, 91566228, 54088464, 735243829, 671863851, 676558457, 684895489, 601922827, 236064120, 835649360, 236104864, 833022206, 627487400, 505345959, 482120282, 692230623, 915589326, 294923930, 356436739, 1014143360, 764401139, 496175360, 381211563, 982997279, 62690076, 236351735, 172104515, 118527441, 355554334, 1050816350, 709556310, 594861281, 577871384, 561780472, 579346170, 557080183, 70815690, 382817464, 934329522, 929916592, 358835204, 835036963, 496547866, 805643416, 96517211, 216923484, 408225473, 6701994, 997397857, 190023327, 1049670838, 655534090, 285054309, 4597182, 442092472, 373691190, 682550319, 611505361, 460328127, 764093716, 726718364, 987579925, 728404853, 477715051, 428848469, 352940767, 68383907, 435020167, 832037245, 287941718, 1009793000, 802050591, 180094474, 696459105, 793172956, 659930125, 179785894, 631526516, 755284798, 418662234, 357049896, 905857839, 287825619, 60982919, 1054631667, 1068229081, 98062519, 707973827, 1072781413, 542012511, 245210239, 899417878, 59200770, 815336034, 337147139, 523527865, 742264675, 982022113, 493783706, 191709850, 575101913, 775794779, 1035035560, 126095642, 316872244, 163972216, 25947386, 654427734, 531395781, 4201028, 758996566, 1014572901, 149719074, 1012795805, 26418790, 542982472, 851931572, 705247714, 965840083, 869863022, 310452891, 57968300, 633921471, 725604432, 898871633, 772257747, 142580764, 526776887, 1028581519, 637311818, 617974934, 648053854, 814648241, 386508978, 591983470, 884829685, 552829360, 840695229, 457334167, 915630514, 498765909, 203865083, 391981203, 32140624, 201001382, 796930506, 732161588, 499781897, 623376086, 241908971, 851758878, 172106558, 16658866, 325006525, 460698677, 110723630, 96540478, 341160925, 1009432501, 629303392, 339026402, 737582682, 643328449, 174476224, 831707923, 136854467, 552170539, 923204891, 336901865, 850068772, 246503080, 771662816, 469249387, 586658248, 1068668570, 194508940, 434364452, 192438550, 256389398, 768573887, 459844651, 83225070, 1051591970, 259383222, 71752598, 351578968, 41555092, 84516839, 612907966, 838132612, 1048181169, 570683801, 718441605, 54796940, 1056656665, 959284306, 838773447, 926259441, 59272873, 424349140, 552673993, 756684332, 705044622, 747310124, 847942335, 1031711638, 967190630, 836760279, 198151678, 415756567, 1017245266, 218987220, 870877902, 263347375, 7775085, 813724695, 975328153, 219030989, 658274728, 553291938, 216709542, 782236936, 644757896, 850838741, 88395268, 796248048, 864435342, 806024356, 583140360, 341215460, 408711122, 1034496930, 170327432, 666203785, 268683218, 298249566, 973661293, 414763441, 353297471, 862709219, 801301360, 814185438, 352716211, 618832041, 409532264, 217367296, 403852742, 276788179, 262963684, 708793287, 246725393, 662692790, 488630810, 489740768, 732739356, 525112206, 17455375, 972406691, 310885219, 430521204, 637733962, 1030987838, 577365346, 950610322, 628735197, 147572662, 140034558, 426245252, 343909015, 271836654, 75639483, 54992183, 990155099, 112170664, 890545972, 629223035, 1057980178, 147575500, 899575379, 394602632, 81952193, 71993438, 196478091, 76758475, 203584124, 272302517, 181093992, 76798849, 955404115, 220402834, 775834193, 682241896, 938398656, 869131505, 139387632, 856712671, 379238982, 855332175, 465809170, 350274347, 347616585, 1056881483, 761150514, 818625132, 836780702, 525694664, 38783707, 910470794, 344375056, 418386793, 49766703, 203342280, 847744394, 333123924, 825115015, 856041514, 1063747147, 188558514, 91604183, 290067519, 294584948, 381082702, 375389286, 654100060, 1069459690, 243733680, 902774347, 631056351, 158889561, 408663286, 66044045, 500630377, 343523439, 1005620888, 849208403, 312680470, 577467370, 838476747, 56391271, 792046613, 300236428, 11021062, 204015168, 360273695, 923489456, 1043593410, 281386609, 102104684, 45052545, 846436046, 744771705, 506325648, 521241945, 959146233, 86900813, 18038932, 779828687, 1026673708, 63393593, 126576183, 419383934, 971356184, 922362159, 986820214, 467060737, 775989793, 663292122, 656713340, 568324831, 492924164, 583968484, 550058339, 535492539, 55059885, 727256730, 78725125, 868512616, 1044384678, 936112719, 766643107, 316106463, 269747478, 487758539, 928192400, 513767959, 166807154, 31190843, 586520908, 736238336, 251999899, 524560772, 256869146, 1069076148, 293810696, 22823517, 938890536, 238570187, 105063259, 70140553, 261478671, 1013856783, 171725706, 273186126, 369013762, 852031481, 96600949, 863346249, 748260958, 467173082, 472897015, 846011372, 828303918, 378976037, 743980677, 292070608, 761941447, 993301187, 60318187, 867562952, 525361194, 929229021, 354770782, 18816823, 548312284, 79475226, 1028754760, 664680919, 768763907, 490455672, 824910359, 179485634, 774467813, 610990579, 119381599, 246647802, 970399114, 543452171, 754045383, 263574965, 507886388, 29908171, 393213624, 394686917, 606928121, 297525875, 606271194, 849580798, 661387768, 258454867, 86232679, 165674295, 181387069, 365042727, 782794529, 735931088, 528205132, 594808423, 485059799, 780555991, 332522761, 260876388, 1071283425, 751068841, 598569535, 356644856, 773324938, 882453345, 258849971, 139160306, 480544547, 729886286, 314657329, 514008296, 907426775, 593608645, 116195947, 951167508, 336552215, 525854893, 707169051, 860529475, 809096086, 994130918, 498302387, 702892403, 199713969, 553983373, 72408969, 24450695, 248488852, 481593896, 781092541, 625591563, 703575771, 433293060, 752085483, 49169266, 550978945, 107946653, 208495465, 622560536, 411999378, 561665207, 844943567, 173903635, 274165637, 941926464, 151035260, 322812072, 247836906, 163325484, 746637821, 911635548, 104048353, 344498451, 296813247, 780295025, 404449745, 861358842, 687978226, 243373858, 822542159, 444092856, 85800137, 704654389, 846573257, 727023739, 485725797, 1023265579, 365552999, 2126907, 1028894295, 1027798402, 739607675, 959070594, 862942193, 308884008, 633651564, 915538373, 203156728, 764479903, 100794826, 132122477, 134744358, 980928856, 73662243, 91924559, 685679887, 390993887, 214564619, 782741189, 332567434, 984543195, 109558686, 37959959, 409692602, 309138502, 217756526, 856571661, 359769565, 112824269, 118267022, 821006924, 417581275, 588265077, 256994154, 814630554, 158100496, 598044411, 992644868, 488635124, 652185376, 1037811368, 510964175, 947313217, 256137113, 775165774, 748953209, 519221529, 779326914, 883433905, 830553003, 960488150, 121730291, 860994193, 262263251, 876684105, 535743529, 272640044, 765228576, 1036514778, 462336203, 349818339, 512506512, 412275113, 110997174, 1004964156, 912414075, 1068343673, 203980790, 852421060, 974077435, 431305456, 972010527, 1067866610, 1018185946, 461232915, 799909510, 335409869, 299074223, 827094989, 812755923, 949699454, 714516390, 52545166, 790746194, 347676553, 325313001, 84069079, 1019077830, 472552284, 457122226, 315379711, 400450927, 803796840, 152030154, 890536666, 430609109, 522154180, 345096042, 654798383, 1001437471, 53672104, 848717763, 210955183, 366581566, 627027448, 362080362, 841290085, 1066281611, 854838268, 271083756, 560681775, 87810439, 841403788, 587160567, 337060989, 206462491, 774461384, 744146124, 27112749, 836590669, 1006893796, 1026553546, 1025124321, 1069172482, 976517461, 79125063, 329685542, 498753743, 210201293, 472410630, 668002524, 730297952, 397626574, 946507069, 170391179, 1049303008, 742041990, 880232556, 101371963, 433711993, 594792387, 273530691, 312058125, 767648582, 970106180, 938093790, 581414439, 160827987, 737359545, 696109889, 123378535, 668272591, 773376239, 352008734, 167057876, 48776101, 378975624, 166596959, 1045635887, 730527388, 909364348, 494370303, 670941835, 873023614, 572621136, 323201751, 839751883, 611779177, 555713152, 622757530, 94996314, 320941554, 547665989, 705136614, 1048965152, 195247560, 26727197, 364680862, 695511298, 71628681, 155748953, 204280633, 1038493176, 1064154752, 304172934, 697149584, 977835136, 800445793, 185762783, 215099101, 662070456, 846065836, 571391126, 382394116, 847922847, 849622912, 927243573, 161432990, 948023852, 697175958, 564451312, 765909560, 286191240, 1037567765, 220754939, 458704064, 18230914, 879434704, 589812317, 596433414, 525017789, 225865357, 693613434, 42962154, 294962277, 862525389, 530293833, 677893631, 697515519, 1065309718, 324672404, 983297635, 864505780, 956638995, 346343420, 976605384, 210753227, 147781812, 405079891, 849652376, 639489488, 745670826, 925069917, 243775863, 974124210, 797664895, 1067891190, 420705145, 977116198, 12774549, 920198890, 958347052, 118519671, 286729086, 653316721, 344583527, 991297010, 582246394, 759724176, 665958945, 894137017, 948325308, 705506448, 22046877, 1002716608, 518249020, 920538528, 425422523, 225949017, 656551654, 937083524, 408122082, 148602151, 33892387, 95096493, 686412832, 40046134, 1024778574, 688839570, 639530596, 656886177, 934325110, 222258332, 917598390, 601511714, 820679287, 568831453, 160735753, 262214825, 1004802974, 528948596, 284354853, 266217724, 1028132523, 652240060, 494376427, 61451903, 665174505, 264702350, 995913791, 113515896, 550594160, 833553908, 584827696, 12792421, 134776312, 750320210, 160243395, 904394041, 919480373, 811513731, 722982380, 708097243, 168068989, 915309341, 652112352, 143725497, 969397165, 595373164, 213061516, 908280912, 683977377, 3310583, 731735014, 233827798, 125948416, 696332712, 31505738, 713755557, 1021542780, 664627113, 5617550, 1032112382, 618047001, 120907690, 696855790, 377906714, 130940814, 515223970, 873492014, 85624102, 843149120, 382045700, 793482006, 190211722, 950419847, 520202999, 685771032, 868958255, 675560447, 417928631, 608620323, 350484341, 736264359, 226292867, 600546799, 68777703, 278538651, 865464464, 812726574, 893596401, 534415298, 869489185, 712975157, 325945673, 864940558, 403786568, 598224946, 829477865, 739896469, 573669558, 60095071, 524538146, 780549424, 444496419, 666216277, 70403123, 17313801, 195004287, 88582326, 472695533, 280776026, 22084476, 379525769, 687297440, 228343601, 933477618, 682648829, 569239573, 1023195845, 990286704, 826606044, 90535560, 849081176, 70776360, 978443353, 637114330, 281505487, 745383260, 135127433, 672998445, 748892001, 802821593, 64744482, 798162982, 947367944, 77137554, 373681650, 803451609, 666718588, 128584198, 2220271, 19681557, 627852830, 792035847, 540897017, 1064151094, 193829494, 763246621, 315460453, 593338176, 287096256, 736675437, 806559328, 971451691, 28721596, 798289422, 424940316, 257572919, 756264330, 263350274, 370824126, 212951200, 556603851, 630046727, 420532979, 712621030, 775715842, 240933254, 405277638, 395773121, 172700305, 98416697, 866646481, 561961234, 290181707, 1024288618, 719426737, 857934794, 546326691, 852074752, 448416352, 411393177, 543425642, 756075738, 294166772, 411172868, 516133970, 119009648, 531083402, 965580713, 644609779, 849769643, 53220622, 241345529, 758521228, 817680559, 1042827501, 339036350, 550048609, 595125258, 365997239, 981841526, 679538806, 751236256, 338538225, 739578253, 731939324, 401305790, 12467877, 553519212, 692328819, 140622268, 1027238037, 923944447, 289970831, 1035096120, 196191050, 612316282, 847256259, 966448424, 951532045, 184435636, 357634723, 600699304, 785546101, 220897371, 551106946, 59137067, 536766905, 217605718, 716457821, 645026054, 619946234, 1019048724, 976810981, 129523411, 917135010, 382709471, 950559625, 666989043, 439301078, 52031950, 747117769, 777590960, 46604695, 1046841905, 582499340, 7616980, 1027269031, 983942860, 688945244, 499632101, 503642625, 733112952, 1049640844, 6969410, 966096302, 95415431, 588688980, 942369736, 869949951, 631787579, 174155314, 775443666, 447965334, 239223296, 347242714, 601966258, 666840154, 385034400, 798341088, 380229381, 509842601, 688531945, 705641837, 962162913, 347234163, 458877741, 820623971, 628706685, 246723425, 1068304802, 457248561, 479083962, 717453121, 654746510, 356473858, 71935263, 643661800, 79259823, 187202263, 562931536, 322923911, 804138652, 368599256, 793521283, 946578159, 185876834, 861789736, 46265344, 535600117, 770386152, 479719478, 387227988, 928493456, 88089529, 657106200, 132822031, 865635522, 1059495502, 317353986, 662460852, 925432207, 173055165, 440825970, 54282934, 197405019, 1001384687, 387442091, 654663427, 1039501501, 507970915, 619960643, 1030006408, 967316402, 172149405, 949424815, 211750260, 701491192, 900813568, 283426258, 767882635, 724110524, 1040931657, 209448511, 129086476, 920720430, 469451758, 760813984, 489228762, 839464664, 23438938, 325830004, 183647795, 780165854, 1017237107, 284319637, 205120984, 486260993, 640313022, 275031450, 681703692, 972102018, 1029785732, 866594262, 168961423, 92355496, 725929001, 169885037, 1026156197, 37063502, 472501393, 794567832, 933342319, 531517547, 140953893, 1069842214, 483709129, 788043649, 761602942, 453860304, 640240687, 992111890, 260543492, 419889878, 751801768, 781941646, 584270197, 152563763, 226173196, 284950855, 164285878, 793221182, 445265463, 877910296, 35090333, 307784060, 744935047, 340851150, 540692227, 750733866, 466659477, 80913162, 853731017, 524301553, 586366485, 469590131, 105219843, 1041999955, 187846541, 749041055, 633050314, 817947963, 137777489, 843815575, 398869333, 859497685, 672393539, 297432268, 315221833, 276978804, 139223003, 1007068335, 358500066, 37270279, 746712062, 95868466, 68446315, 771372273, 123526883, 874533898, 86721211, 105423075, 505901981, 737713110, 372260818, 819006094, 968953267, 412304720, 1003803211, 244718392, 1000809673, 224141355, 204086576, 575080126, 429724031, 373520267, 253024898, 756792018, 30693580, 254144640, 858155636, 964419755, 1052976299, 401182142, 1036842914, 151387321, 264494187, 981793432, 763834720, 599160446, 1036172021, 681067927, 964461323, 728343241, 805017917, 56227841, 670230395, 345556530, 269027493, 77233982, 196223113, 53413302, 1072690610, 462260996, 315010509, 30952099, 98574499, 712239700, 92892747, 785640884, 298864783, 457477352, 636010197, 668859124, 284048283, 979549667, 893959900, 819617302, 1051474113, 943573238, 131638857, 15879181, 403468368, 96416659, 977939907, 594290381, 619581910, 641535169, 896051560, 230934202, 862907464, 849123051, 1001398779, 535627898, 677694772, 1053037795, 485186584, 863160269, 702347770, 560927037, 582172160, 43300702, 987821213, 273745629, 777155685, 822350298, 771099817, 703850273, 18879836, 821142703, 101667785, 55007969, 1055259031, 528602715, 531592780, 998521240, 660314611, 373368153, 682215288, 403336804, 329596818, 135446604, 1018360500, 675447235, 127923931, 544165762, 900654186, 108067733, 92309295, 713650912, 741048518, 160815275, 1031282929, 747766386, 447911842, 784335815, 705949099, 33958880, 879400424, 54945888, 470017156, 988389142, 232495731, 253247012, 920942508, 349136072, 588494898, 757065705, 511468324, 239496759, 887376415, 733062896, 651370967, 1056710715, 325713929, 834381478, 770700454, 335764125, 570756776, 1022432067, 458967196, 452919198, 84631055, 528463698, 369945926, 129989586, 496785002, 968189308, 713110447, 367791818, 907620264, 1054178154, 517530062, 522104069, 555674662, 113374030, 857713910, 44515680, 194948702, 175207509, 423249151, 310516952, 684885394, 311518398, 836278697, 576385512, 444039722, 705528427, 22329988, 414790272, 648045916, 697307170, 723672846, 913606376, 870255126, 605722765, 448174176, 1071790291, 808551529, 389089114, 291606784, 1054877532, 549483364, 1027974489, 138714088, 567301330, 774943545, 306409776, 548451250, 171304184, 1038613237, 507909242, 128108672, 143722894, 1004123518, 556799147, 129265356, 1073640757, 802170759, 813456737, 115181358, 1029544289, 59034335, 434583639, 199137061, 576841388, 939896393, 267538471, 794812278, 34727901, 1070457709, 959568144, 168354294, 547603392, 939836785, 789588257, 550500985, 734515377, 775749958, 716580221, 742278226, 139338503, 92154636, 513867733, 885329736, 480426526, 873191774, 1061683006, 224017520, 426618753, 769516041, 156022461, 635086306, 201021761, 111123669, 189675146, 785064856, 527489672, 929657158, 231290680, 506444928, 316579080, 768348290, 800363184, 916691712, 806981743, 942049169, 510654274, 568043607, 604367678, 941371967, 488627899, 599037378, 140145205, 664944327, 282285244, 969210179, 248587034, 908474090, 107586109, 573023375, 316014514, 1029266257, 905718877, 992568188, 953607521, 190114685, 688241568, 167422731, 958907333, 526300335, 860010114, 921895591, 525940084, 833074460, 319651285, 931172916, 383208344, 952089987, 617825449, 495592082, 1019570108, 688018066, 177256664, 1042538988, 349116891, 866915981, 267301522, 750615020, 772330219, 987662334, 374913709, 904033816, 454808259, 297406089, 89483744, 707096870, 336327752, 486824872, 567297621, 689265840, 117033629, 706380235, 636739549, 506323919, 339354428, 731663178, 557562164, 337600351, 425850943, 1068392446, 528576261, 809070836, 274094236, 574221118, 114306762, 88689903, 579275232, 921743404, 160603375, 351666828, 484611690, 314282, 596761491, 775843930, 600581283, 144359519, 708040156, 674446788, 933373314, 852357598, 565079577, 926157092, 61024415, 963752272, 979407213, 503835996, 696972480, 688230496, 766238509, 38996184, 632398146, 323015330, 459961202, 183878962, 84028771, 546526108, 182294524, 264734481, 309263765, 341915388, 195513607, 388272173, 651539948, 678094496, 1037640863, 955913916, 333178088, 268955532, 424487667, 314028279, 612502087, 554092075, 509838554, 820025417, 60298476, 929393535, 312085753, 294875058, 177667745, 479638326, 842723982, 1052747834, 558962739, 980638818, 931167563, 525613006, 301270619, 790626745, 808655355, 104570932, 721614771, 1041998418, 317623288, 508219474, 908491748, 599299717, 873012956, 992881700, 989211714, 150733285, 1049724943, 135967834, 633004929, 812135166, 582579403, 136539772, 237834401, 720215591, 181013394, 801419480, 418875804, 471308006, 551194993, 462268034, 966059953, 772527475, 310244921, 871360603, 139467379, 155064093, 858219131, 793447794, 1001093814, 492373442, 905187859, 423159110, 759730827, 301548994, 693329757, 507211455, 733021029, 1029266988, 965689573, 240007667, 401523428, 148589836, 1071378829, 364561443, 715235909, 34187613, 862484344, 784746638, 707222575, 650720021, 821426402, 585118148, 483777181, 303639952, 888868529, 1044860961, 934976726, 415149790, 370483270, 126958123, 1003214533, 469634098, 769996083, 734336936, 105403156, 205835405, 306051310, 171232426, 89749289, 994673489, 79851398, 339032492, 55500745, 804102048, 922376174, 604199562, 531643611, 778704300, 1059424247, 917271710, 367338502, 80143722, 86449201, 139662822, 346737830, 122677750, 1040856025, 378385358, 750540148, 472973921, 924728055, 731353958, 888713518, 163581358, 899660882, 128108506, 1007475365, 128371586, 909925462, 126296372, 317211014, 746449798, 243856463, 262380583, 236642733, 815538939, 570017021, 158750664, 672356193, 441382759, 864355214, 1020558219, 196284963, 584703369, 678235839, 531959621, 944501278, 688858091, 271461815, 264716231, 204770269, 478094572, 900607546, 251466097, 1038212560, 772118583, 880279223, 590550178, 764467865, 148446235, 854844928, 724245486, 500155403, 704544381, 57118090, 122922308, 888481060, 548660295, 482645314, 279189642, 70559561, 273745482, 765175145, 49338408, 56421779, 382567023, 23794138, 895051371, 920302042, 672697544, 624931229, 832308003, 390420565, 783006684, 73662272, 149746173, 674348542, 505829754, 165715197, 576697520, 1011038694, 617931517, 1012423344, 205193203, 745691436, 594405947, 510076284, 893719962, 464103740, 251460027, 158367878, 170451345, 51450076, 716003894, 1047098081, 139462898, 163786789, 30948706, 959950180, 951264342, 1049721594, 914023874, 505454773, 228386237, 253238321, 491046216, 1055754379, 987063234, 640961220, 101906949, 656209171, 72142371, 325837469, 1061867669, 908224682, 709447588, 672212042, 718785626, 1057516575, 988827796, 512640618, 284121290, 67545760, 605012613, 741202204, 868458074, 808786170, 678650353, 777882337, 357408980, 915258997, 444542224, 814074826, 372863231, 546833997, 814750075, 689965136, 234872392, 614880553, 943715516, 75840564, 869042369, 406824788, 777017522, 786813208, 14462391, 276217370, 85911534, 245457661, 528142994, 158325300, 455938648, 374283706, 221371833, 782132639, 1029273448, 1003223769, 712355639, 416766333, 261817273, 338030930, 702849568, 856546399, 613281126, 92538797, 643356951, 232013546, 596088593, 771281656, 837225209, 667629909, 625508964, 222568091, 433712431, 1057267091, 752666408, 906420258, 1014973360, 1022273101, 115182396, 78612733, 1032017589, 145988633, 589537672, 410980578, 652588641, 642984254, 373349277, 1043227846, 625501994, 617295676, 547633549, 841339988, 890147003, 959046296, 1069971872, 63603126, 825795448, 197156280, 126041911, 725400049, 159528364, 984903468, 542808062, 475382678, 422131537, 721109773, 987534613, 962180323, 723693483, 643529884, 427640918, 983873425, 747640209, 88259526, 60403509, 815963593, 581336651, 440915518, 751905394, 418263109, 20529582, 688976057, 855573940, 564048595, 573851891, 734526160, 681855873, 401180654, 264792612, 679958660, 1067389420, 1058726618, 638681415, 718378349, 775590283, 338124506, 425950534, 896722836, 33614314, 278609685, 695282564, 768743784, 198423565, 285423346, 921094133, 695104194, 30695835, 478735137, 193227649, 143179199, 1015214081, 539181259, 939052265, 740986133, 287864391, 738617914, 640707599, 845171865, 945815122, 179309070, 124857135, 995197343, 343471624, 722526304, 826750923, 533894181, 46354047, 304452630, 24112312, 523533454, 276506873, 676942443, 431208647, 438570108, 688315007, 457029990, 401383067, 940123848, 687046017, 863696930, 531435778, 209069099, 206117713, 218539137, 332236019, 397984582, 172915346, 227273267, 577617715, 63738956, 1029628138, 1064551898, 701780574, 836504435, 203800812, 491371981, 703149541, 173427601, 422183781, 449746655, 930810494, 573436250, 3727880, 76783890, 383448498, 914652489, 711128516, 119391255, 1036190202, 883215398, 639181665, 169247644, 962161142, 655676577, 944481074, 175325451, 1041232153, 230506629, 825536035, 827016610, 696971171, 7115102, 157295875, 651874695, 94413026, 64339868, 835685685, 715005474, 1018946327, 599019020, 213039252, 463520295, 281436619, 781828407, 813421110, 235772640, 640909677, 5136605, 1021689910, 406433585, 342437845, 933609317, 493544029, 933935396, 291837196, 671735826, 801337719, 335977703, 668660322, 594992523, 621102666, 126740329, 524637377, 457002705, 604601054, 1034887788, 1048436984, 19262946, 192817016, 508085335, 320159546, 838015697, 734510784, 450819263, 366402167, 719777757, 839871831, 1002451818, 1071487868, 680455772, 981263178, 612896194, 965597801, 1029184021, 959123530, 816096827, 378916677, 722022262, 208780102, 968150267, 247320671, 38541748, 735865791, 435935291, 955726958, 522448948, 122756721, 1041024858, 461658882, 363342785, 1013204850, 673171218, 462106282, 943833703, 543517941, 747245184, 34628614, 574058704, 327689432, 515085208, 1000763686, 364814712, 1070092177, 638392799, 915589835, 217496699, 542305239, 63860252, 805276585, 1040602292, 980745536, 871295020, 68482727, 542079561, 1026435790, 466828116, 333759885, 509423427, 407406531, 945749942, 862023250, 771282194, 872543128, 102853192, 886803363, 331347862, 980809238, 203623763, 553012784, 533797581, 856742285, 21991626, 555905555, 74189043, 354018222, 529747391, 95916392, 61143920, 1045698101, 934935267, 436926226, 193868348, 137482065, 1040519412, 591237364, 207030381, 359271180, 848252014, 856717179, 694544087, 1040319805, 272966236, 137450019, 330406195, 913333425, 108032057, 381366101, 540430074, 817952067, 604243568, 609870774, 639142609, 569878263, 471351149, 757889171, 157064032, 597048791, 963305611, 1047742051, 238598217, 1011567193, 983735445, 863925688, 428007308, 204265696, 850152854, 1039671698, 642192315, 597699756, 572509831, 654838749, 118504800, 262333750, 867513323, 498188265, 412098965, 877956939, 133925931, 866180582, 13043153, 391780437, 264091426, 888885929, 585734423, 627092298, 318160517, 725918912, 92591222, 593208610, 949597341, 359096943, 29942656, 579538741, 194002439, 446890898, 842516261, 127439376, 808281545, 382743038, 1036874961, 263646907, 344555275, 749830978, 740813629, 830247795, 712141502, 83705453, 469247168, 259134328, 252805458, 10583027, 229149172, 622901289, 221524429, 805366680, 10911190, 494005580, 556946551, 310068708, 968776906, 719925869, 530584486, 96291564, 467006692, 997500286, 632919216, 458900152, 957960439, 353325961, 797413430, 495066079, 806195209, 1011516885, 688624028, 174177593, 19278406, 66286536, 106385177, 793831853, 214128555, 1070953388, 729411327, 847785574, 269383537, 277315214, 677841806, 937878871, 291203674, 593220990, 112573128, 975556127, 915871570, 46904340, 59490349, 640479277, 935271207, 1051621265, 655920820, 271662322, 976013146, 991677907, 192086430, 257939818, 499425520, 1069902256, 717594283, 657671933, 1071439039, 372741524, 687106728, 263167225, 864150587, 302843779, 87027776, 683938359, 1058931737, 288506060, 983938229, 620565428, 525846230, 790552380, 599631693, 1032003484, 941916600, 1053308798, 832967744, 533826922, 1038589013, 21726530, 103900445, 608031633, 684477784, 17011949, 325919984, 926315687, 980116565, 132219795, 101738376, 143484546, 284619862, 631068547, 1043174687, 251928015, 985504715, 524256140, 974214556, 113933273, 946222516, 379888826, 722431506, 745125107, 681061802, 702322132, 669233549, 771387137, 950463659, 437572314, 816987438, 953127281, 809960414, 567984317, 473742010, 564276770, 670740643, 965170694, 4845865, 436451983, 901078518, 872575303, 483190269, 749736187, 819475527, 785219928, 383082617, 399745078, 37766989, 797497669, 1051542680, 415962825, 728557388, 694609312, 800255715, 157966785, 154642667, 1000446630, 1038709177, 555684430, 284450003, 234516773, 699371733, 430087675, 572729578, 256578878, 711785268, 440738064, 734786514, 403282628, 572112589, 145760635, 73025550, 310470190, 76332232, 632735138, 379257295, 900507528, 58750690, 71929888, 724543574, 536982183, 38011282, 914682923, 968235405, 688758027, 790328921, 875621143, 645411899, 662382273, 748488584, 224215651, 446306107, 1035138404, 592158354, 450900826, 724604265, 135561743, 282523782, 992961809, 547608897, 474566296, 330562617, 294815966, 740727011, 848661370, 299084476, 458996270, 942080316, 37998058, 262741333, 195547794, 693725580, 316713138, 766786013, 898678423, 864500632, 283173169, 893820216, 1044147146, 387802352, 228011083, 1048854602, 428779064, 120382420, 613793320, 490702550, 796523285, 526206493, 288304882, 992102796, 550921468, 468141334, 118335453, 759580436, 785290990, 329564850, 683287601, 618253474, 403434324, 332159519, 845941806, 879917808, 104020604, 947118970, 1041646802, 1048091884, 614145806, 209019183, 445518807, 564674130, 91576422, 198062287, 113748721, 557409471, 400223986, 579269442, 820382306, 583792253, 930454328, 695968414, 378058842, 499168104, 710528075, 25397758, 10834289, 353915154, 966964656, 309013930, 636106151, 569640610, 582542033, 59145553, 392233188, 942923151, 803603254, 1010962720, 825142828, 28821178, 347644953, 729060774, 752665988, 342081988, 590931636, 249655312, 280890034, 95007994, 169427560, 322683411, 636952104, 108435694, 484666794, 93538094, 597882199, 201997957, 1014379815, 843390204, 39071725, 367601142, 791440426, 196108102, 412709808, 8861575, 356087243, 375824536, 944981540, 226114476, 227908635, 533762629, 98253541, 536654942, 928780387, 979540355, 261618262, 318906401, 976465168, 612768687, 716573645, 250800845, 438292115, 568057899, 22601341, 716001007, 432162696, 2818151, 834505794, 260383282, 627968933, 968614711, 778085886, 658114537, 409097671, 319496180, 290210298, 104332554, 701977822, 873823064, 427572338, 17842933, 20554542, 54134394, 933618772, 771601373, 1026171199, 785158895, 530080791, 260320978, 862410871, 585601821, 149045809, 967883188, 511079409, 900869884, 64438044, 152354940, 383337324, 677846038, 265136052, 502887352, 819091084, 91272316, 881548052, 814148165, 224209153, 549127678, 271700788, 304091, 72266683, 27122453, 113227189, 670369886, 666526544, 1041664999, 829876737, 776706499, 1071688819, 74930487, 776403401, 374358665, 547728992, 233716539, 995906352, 103644880, 898803936, 327803414, 786186263, 866979748, 58288024, 540584350, 941128588, 678560221, 1007199288, 196736329, 332201588, 803507129, 381474433, 518692399, 43092299, 438133662, 603839336, 794869793, 806466614, 246526764, 799533163, 929223497, 949020863, 918086684, 690980555, 641321939, 900495020, 169572947, 892897958, 395221040, 1002905942, 209268458, 688293212, 334553296, 799958392, 240626275, 338419047, 1020586476, 530523446, 84812388, 204333616, 56631294, 981851596, 1032911804, 1041197053, 91341277, 831579006, 49420285, 297929524, 532878968, 117950149, 21356853, 630285839, 549617918, 389344993, 602800943, 131815032, 377704431, 668816311, 379947388, 321524381, 565217765, 327106711, 669080159, 361647373, 200122141, 924987907, 349261449, 749847256, 477072897, 181531511, 575510856, 483418186, 713292327, 338368760, 824850428, 126795999, 820161152, 737640344, 126412055, 314007889, 455805256, 795704888, 993738752, 553097470, 74574657, 790772251, 742371725, 569438140, 111392050, 133371308, 241296792, 894222444, 401411077, 834717123, 616614738, 271991267, 364269683, 693775336, 1064236794, 211293475, 225750688, 480838179, 760806, 68874662, 193109370, 93301850, 565076756, 26658163, 332053607, 967979271, 646793807, 881321015, 786242010, 1072577126, 1057352111, 48496288, 833023838, 121663813, 442418178, 834916604, 567257577, 130501617, 311770106, 885530790, 958752624, 886892718, 35930969, 561418937, 482056341, 806483251, 1049987418, 13829690, 224318291, 953214789, 612603223, 836464150, 433085058, 287204475, 661059959, 636900289, 630201480, 994076351, 197061742, 932130046, 506634715, 644651741, 409564829, 1065556559, 879658427, 140730810, 1005183145, 184580155, 18100203, 915555953, 810704460, 913718240, 1011131838, 567886292, 581091871, 71769421, 735556524, 1032336898, 701539991, 698488962, 844377940, 408302966, 426519404, 761597713, 698465374, 512635424, 735682902, 392105569, 956865179, 307912211, 360199508, 701989876, 435783943, 920764285, 1068277545, 1066471697, 681579320, 893626825, 356985532, 972937447, 830253527, 665663499, 199770905, 988953305, 100021673, 54858489, 894622753, 362073367, 289447900, 1029418744, 123312753, 982911700, 510049818, 572889482, 15737431, 879548343, 195270534, 817867881, 644223143, 906221148, 192021198, 1032866955, 413541398, 487197565, 139176009, 91774771, 874218495, 891604913, 223334127, 820700766, 435226195, 615024278, 503120239, 338238746, 856834134, 480208501, 325374586, 544224871, 808714947, 624144995, 82023115, 678057084, 506891579, 568535093, 479495469, 685567935, 216622168, 912094057, 706999752, 373117848, 182495438, 782884937, 81617866, 56458184, 39976595, 811995769, 322206216, 874937951, 654898730, 958864522, 881833531, 1060717218, 924660515, 571340812, 239959687, 710703222, 740347291, 705757835, 639291171, 686566187, 545471964, 267137179, 465938782, 312466058, 307134079, 895760587, 781477099, 99507771, 228337232, 942598974, 107979783, 323706803, 366770716, 619936475, 591370766, 308250632, 928757134, 578301957, 641314728, 895302771, 870957767, 350862016, 590129224, 842956838, 649397558, 322973443, 139981062, 592714438, 280861450, 399174261, 863128922, 25585070, 642100995, 321208785, 80652321, 901952299, 835938789, 241075399, 584788189, 883102855, 36103689, 872512861, 131963834, 717351355, 319615941, 244542622, 339831290, 826432949, 778978110, 239642935, 559092440, 1003245092, 37467198, 705272936, 821858556, 485713591, 3033522, 459835870, 164038733, 794684782, 333174176, 25727209, 1066788235, 797446322, 1003326985, 238257947, 432889161, 180616872, 606736623, 777279657, 615892421, 915072423, 511986033, 1065663829, 170762945, 479679332, 278125474, 212895464, 389695696, 683445048, 534497274, 353512492, 416106792, 517574033, 416796992, 541034797, 140028931, 454857833, 782470442, 318254405, 969709941, 978263244, 335154846, 248605920, 239327931, 171047176, 801314, 39151144, 944664954, 600367483, 333192850, 858707501, 327057127, 58972466, 137911227, 422116961, 152112453, 526887182, 826394288, 980368938, 763634919, 677314176, 263972692, 314240396, 874730050, 822661621, 231561191, 1010640110, 921570042, 732520878, 266865787, 152009595, 858072273, 167825363, 895887959, 787360950, 118443176, 711804737, 53638390, 298899609, 562894878, 730195286, 252778418, 733892035, 1062446649, 990059654, 906490697, 15945893, 520026337, 700275539, 1049639534, 454193286, 463192882, 921081419, 312763738, 250560404, 187143026, 398626584, 663935034, 1010377630, 211517290, 523888482, 66538652, 343533083, 696571640, 519260624, 750013207, 1028566536, 882672169, 369843395, 879996846, 843229072, 201182918, 249768492, 819196571, 196309501, 349383519, 669235655, 393507412, 66908078, 873735905, 122845178, 696805599, 548156937, 386414341, 782955655, 173962553, 397876734, 677555697, 60390691, 658745990, 637424799, 727570320, 522301067, 984853150, 1065434058, 475471570, 466797481, 100155940, 415951910, 684053649, 369851742, 303110908, 371596145, 764185222, 1048844242, 288050818, 1063534425, 57383237, 372302645, 575906894, 801567016, 1034516217, 216906263, 585830087, 240541659, 753984016, 266702108, 1011298491, 436463573, 224708650, 897433140, 204082114, 731138729, 162725483, 846725520, 952094971, 16320589, 240090926, 77680094, 784439825, 797025067, 673359182, 1045239275, 590945650, 415139649, 195271385, 452253546, 264993557, 242974269, 122262121, 950202294, 559636275, 66414230, 904777942, 934197693, 130996800, 419197310, 536679593, 709960802, 371344969, 1009125953, 11139751, 463518788, 178145786, 912080936, 957277502, 1011637969, 981387081, 911366673, 771370230, 458968979, 9699112, 444530583, 625636146, 464806795, 1017185639, 722635384, 628279536, 827805818, 839572890, 452546864, 625891959, 794383222, 1006405304, 663031517, 972616756, 776935191, 120921464, 1037019415, 820125996, 140584093, 48081858, 997383311, 836239003, 993746446, 530201677, 387410901, 1045622441, 1021839517, 521418894, 447947178, 106391479, 209836709, 585246773, 981879343, 995636512, 320710863, 273808365, 550656683, 543046901, 48108333, 634141905, 397169222, 712239521, 1018130646, 762766184, 630663283, 414767600, 321677176, 180052492, 540966454, 98805828, 864341843, 624976268, 683590995, 342716242, 869311034, 495288330, 643606527, 412905984, 303548557, 723322898, 994312081, 795188488, 477896278, 957352570, 1005466548, 1011517437, 522113357, 999340159, 281763759, 445897684, 901271341, 51565672, 533336946, 909163289, 508036906, 697106191, 106514237, 804442555, 536234532, 215704157, 509274631, 498582302, 989408706, 339825185, 106377056, 354975375, 80377734, 209081779, 457412376, 200715486, 733199997, 315554704, 865256303, 693547852, 391920291, 581224305, 892535662, 618473135, 59424803, 972542383, 827977846, 117406836, 717031356, 1015258217, 775107740, 770283690, 441604505, 640048756, 872342112, 243891042, 1023781419, 716321044, 950073028, 966137078, 170540380, 1055085175, 559312719, 269957341, 644973390, 196662036, 843537270, 1025866369, 904763376, 389230768, 306905226, 108953451, 344753050, 266259237, 128204237, 893007330, 1054364095, 221952192, 787087187, 678022420, 112177392, 1020994598, 422059718, 1055800735, 161793290, 320137488, 671137194, 568506691, 45203820, 416054116, 996027396, 1052892669, 823068452, 796741612, 208888573, 128384561, 1043539100, 620389328, 2171958, 438662112, 57905972, 913741921, 1007862489, 37835095, 580737603, 918538794, 105252052, 851703320, 61795013, 713564151, 912503204, 103592393, 772599801, 40790703, 501123686, 941925613, 639681925, 508297467, 536268678, 801937985, 539977749, 938230356, 85573331, 441711669, 98066579, 567259503, 209616892, 970367133, 244608937, 604755093, 253428817, 988229777, 868995990, 771384359, 52842567, 18971780, 746372374, 575107201, 681069740, 784401531, 456752983, 179673732, 133088272, 618460323, 969257522, 621350489, 732805709, 665147107, 291195930, 97060902, 1022019863, 816508689, 185188589, 519867200, 234922632, 696287737, 287278962, 670765539, 777451788, 24156554, 54465265, 945244109, 852228790, 477375190, 741520467, 569703575, 559290419, 951640622, 946397838, 341618206, 422199552, 125692871, 1001406769, 268110300, 353812281, 654496065, 680051868, 75142928, 566814289, 1042744219, 968149971, 132579238, 584076072, 774914177, 193265159, 122981592, 968434612, 1007690184, 694788187, 797495661, 391177913, 233907746, 834853467, 882161394, 637908055, 970848522, 373948659, 339832895, 751801651, 865806578, 145094823, 693736768, 885908592, 80651810, 450649582, 630365434, 455918693, 457222074, 306237960, 893166500, 104430226, 881890322, 311486983, 910499201, 550191950, 105615986, 814941619, 190583169, 859432456, 69152425, 169045180, 783776763, 810749691, 903511893, 105735397, 159230498, 1019959442, 48104615, 952311770, 566228923, 809165931, 1070817164, 651034713, 716724101, 212962964, 224993057, 909076421, 206599821, 156766760, 491680743, 811018854, 398521949, 434769425, 386213665, 75578628, 713188250, 570202032, 749163454, 631793566, 82670732, 252241534, 269184955, 871367618, 474769003, 690632086, 446006586, 897580073, 483169795, 1066153929, 994530537, 324141271, 600138722, 484977681, 511689410, 620190228, 58465518, 870622849, 139271720, 50079865, 797251962, 922183381, 541605504, 1004358032, 261819747, 497025886, 551964635, 562985493, 490567538, 982027703, 387615145, 675754551, 543644268, 691625358, 929333159, 966564999, 1026040551, 1032137254, 45131694, 11485034, 104933082, 165460956, 882144430, 570686606, 992622210, 184566067, 721639973, 1030363709, 177689662, 131050733, 6054313, 92770063, 840823583, 871143900, 483424830, 485404414, 687038444, 916176417, 460419960, 1043284457, 931242588, 206047483, 963820606, 530645249, 652259498, 151635233, 213574963, 495468864, 711917915, 744948128, 871858347, 810348129, 91084067, 585201293, 611566856, 678578836, 446681736, 158566717, 612510622, 712483742, 39629234, 867357821, 361436826, 83016072, 105020691, 435846457, 735802135, 651956282, 956546737, 36018985, 645418970, 1050379885, 685208541, 369960808, 832004714, 960435301, 515507038, 546295035, 1027494663, 454455892, 794380237, 1008014484, 207079712, 608274718, 923114172, 768867338, 688370702, 267262562, 223750481, 587518424, 830301323, 265180784, 40359662, 182146315, 321629794, 1049161777, 89626971, 225212786, 101617537, 319150567, 602705391, 845542642, 117036491, 775200868, 296391764, 1036690272, 781636912, 650961617, 854131267, 99463451, 787993949, 973046133, 457598992, 943966678, 945191403, 20739338, 1056774365, 599566482, 294220810, 24697379, 879819270, 952183297, 123769272, 551060856, 207527881, 635963579, 758894624, 1001092820, 956290913, 583200258, 448735733, 14550519, 373192435, 1024101580, 345887207, 760501426, 647516773, 37848883, 574584974, 743960819, 497400237, 605932645, 1016808163, 853850747, 75594857, 288450013, 622469339, 408993833, 787211121, 178935165, 300846433, 1039144063, 68791921, 599315140, 256712585, 169715217, 198952772, 699658369, 380260933, 643549602, 21149553, 985357615, 26977954, 46491995, 101814463, 858184360, 231044148, 848139011, 30514382, 934430055, 186969336, 261107632, 903198648, 184459135, 360665746, 349466265, 975282503, 550228487, 753912701, 572975288, 821563801, 243565559, 722803210, 115938285, 1061862168, 256417965, 846739319, 758824911, 160832876, 535523103, 348533773, 543139387, 456907364, 21616208, 730330584, 863902328, 470334313, 190033211, 790580784, 188114745, 844783887, 791537166, 534615692, 675119731, 412914789, 292815479, 361931626, 554117971, 580420791, 53119012, 562167715, 634519003, 663529614, 575733153, 124616943, 685368639, 191477016, 525616219, 18471701, 491349635, 571558753, 994162597, 312729934, 265432481, 244478924, 214639248, 35390053, 687656925, 996344581, 22503346, 389898127, 112914398, 602965512, 29678225, 232360792, 692028350, 434172125, 224448287, 204975871, 516550223, 1016877802, 1023934096, 1030004034, 1051845517, 269776185, 266536245, 644874407, 843127957, 650169778, 759941707, 17061896, 779314618, 621949665, 606542731, 294700197, 673634023, 1027214135, 1068223029, 435231982, 43770198, 142158631, 413673463, 141204241, 183689746, 885924089, 672459586, 957095954, 190338250, 409014856, 830051795, 327748723, 852376670, 924803381, 635985460, 466724441, 207624558, 397209310, 253753440, 649577742, 721553468, 665386468, 304146092, 190636228, 202058418, 561458383, 417116149, 91347018, 528811493, 131447187, 921711924, 607737487, 325175884, 477350400, 1052257009, 1016031817, 592076104, 385889849, 677823664, 844796233, 552588367, 104037095, 787700560, 767225633, 799445710, 762008617, 50540728, 816453134, 677167430, 578655208, 582355934, 208548908, 1055588575, 519756937, 912192976, 244692563, 375941064, 950771997, 432961994, 780562978, 447449632, 639338730, 953973335, 64638075, 536069647, 770973970, 836390607, 933126174, 1018565440, 388966903, 649878426, 653752692, 48543894, 808177701, 662310030, 818422113, 777370832, 513984832, 490889892, 245025326, 332800837, 984389026, 132422060, 21506271, 185703643, 257438056, 449158285, 249198216, 842536562, 814399922, 246354053, 710887887, 201257178, 234563094, 97109233, 705690441, 948644313, 930727149, 835581735, 193489005, 560714966, 495924155, 364136489, 469644497, 957616788, 222564011, 1062352369, 373653188, 418232338, 209068821, 8778731, 1027423067, 1067400576, 691682685, 76036106, 652508097, 733455093, 151773964, 823790882, 589220201, 709566666, 684035587, 205892986, 1005528607, 783622856, 747774567, 180103125, 189674807, 672029556, 1028941857, 269007845, 935562420, 761843558, 51663831, 783643862, 558599104, 207670622, 867215556, 739981126, 802331536, 1040190664, 280061901, 288953543, 773991309, 222682300, 93751980, 63335491, 387899560, 889488904, 280167156, 922098978, 679886584, 18864341, 287229583, 703675972, 692448700, 436464935, 838627871, 760821386, 546706652, 779691923, 616905352, 1033945629, 476604866, 262070371, 630100095, 882618957, 559992089, 860925110, 634647007, 976237809, 440583249, 614981696, 983013803, 36859246, 341357935, 1064156247, 663134395, 550069379, 423058861, 151314747, 763755133, 1068459019, 963610385, 30873299, 80331105, 36016131, 755558649, 626158797, 1011886679, 101401196, 468069352, 1008515122, 598761789, 951152995, 92304558, 962780879, 506814340, 965812111, 437381502, 372044194, 776622136, 190056733, 489243561, 823266244, 979867567, 343680746, 877326149, 366364239, 386878081, 739998745, 950050989, 192912091, 610823786, 673982028, 755981750, 488230052, 28796163, 466456539, 177495627, 466190857, 894333070, 957712562, 802342270, 291046267, 208149714, 572374822, 466963077, 513779962, 437835074, 179980880, 28500650, 937025872, 853520076, 951250892, 752068501, 872610408, 769836341, 1020538220, 687928451, 231358088, 172702864, 233198411, 232974740, 840543626, 240891583, 394427664, 989527371, 615600002, 493335581, 917020574, 256243216, 380430046, 499079872, 791548686, 128127040, 684892157, 96747560, 907251201, 837312184, 308144421, 717874160, 632233739, 155098209, 251745386, 1024465005, 815113585, 900606126, 506389187, 558546868, 57720404, 113596216, 958854705, 28437881, 54731054, 995991704, 10520505, 328104579, 832175022, 1041198495, 936557618, 341805577, 455508054, 473651824, 853612716, 94151117, 25915531, 468300055, 201353608, 887921173, 884540574, 393450452, 707376800, 1037510808, 491770145, 524341364, 316178036, 368168505, 611198728, 286048263, 371338005, 638359041, 704982956, 909228682, 928213716, 741275378, 557430919, 92505828, 1073552401, 804926628, 597166681, 935475234, 1110318, 194637307, 560543573, 798007274, 376554810, 777575278, 837763406, 112858353, 271321971, 351589511, 438729608, 771060028, 165830636, 467360832, 327573553, 978892025, 64734711, 1046992457, 619263621, 207074798, 1023496489, 595686727, 617039558, 950059150, 986082085, 15528164, 921714990, 240661010, 214512042, 376442874, 953825666, 341047832, 1047381652, 171454038, 169349590, 708749204, 200649424, 258691601, 551602803, 592597885, 1052643872, 310494527, 155621881, 501626235, 422395776, 677753832, 206468506, 60061393, 604901493, 280780435, 972953350, 744779661, 572438394, 650605274, 779568376, 120102480, 772849867, 122856468, 123418285, 407669386, 397790251, 545339768, 54614466, 1057061484, 745024934, 930442013, 1066011154, 346924918, 107651729, 470814196, 387202433, 835609102, 977870756, 371731184, 345109510, 916364503, 283372961, 1066781010, 950724188, 357639003, 772775683, 670688731, 583645489, 927759969, 793060987, 138340264, 590233616, 193757095, 789529192, 216614659, 479683247, 226696877, 519911761, 24398709, 130936520, 860611467, 1005301789, 899700776, 27917065, 878749841, 810574420, 672902387, 305911685, 439032336, 255261528, 490183516, 414773528, 476319046, 60291844, 1068435539, 475969675, 225497012, 817007395, 943153426, 255486865, 138720005, 228698663, 1064557175, 517494992, 453551190, 443217296, 552912202, 755121099, 756162302, 99352517, 827123971, 56263443, 568350818, 406200393, 665181565, 550060518, 261655352, 740554889, 259977308, 768823470, 181110474, 624850822, 10440152, 601465300, 677927083, 1068034477, 970762898, 535589307, 582416170, 385885066, 281182665, 29804918, 1032605087, 364682054, 892558477, 882914747, 143088676, 655490965, 219940167, 784524736, 900780359, 27936153, 695284950, 518143414, 263553200, 313303985, 733934956, 108147540, 931067428, 922673817, 713315436, 428285426, 217892477, 852225845, 1045320925, 957042253, 497442455, 44603458, 934108773, 104972954, 260956511, 24555664, 370601379, 455413139, 200605577, 90048182, 823112038, 368705368, 555362938, 282694080, 830226232, 196612411, 690436950, 172589297, 766329328, 728754728, 688680333, 230867442, 277598021, 94172174, 75911972, 675917407, 406997139, 546635012, 701534152, 38328526, 24956626, 948435062, 110579781, 206651389, 99910026, 209855514, 809024042, 681553094, 283916438, 754182334, 669706960, 532213150, 69212878, 1068897802, 978076331, 215003422, 801227922, 864017143, 214960976, 768172829, 482584980, 715815533, 359764008, 507898054, 150359110, 904910451, 872020985, 336113542, 969571321, 452385278, 832493266, 927667380, 732948677, 430171167, 382280376, 733115526, 249633657, 642516097, 369650781, 995917001, 601361638, 1038486040, 723000029, 1016875031, 928938173, 836774487, 749139453, 726163640, 662246349, 219917288, 695599181, 713881306, 333122691, 1045804977, 1065034186, 860436410, 668078546, 41525776, 571507842, 950757166, 701967121, 299924300, 459498274, 402231876, 839546761, 306242912, 37472910, 230924534, 686373686, 426411632, 364791799, 960603822, 78484980, 233804294, 882091059, 227263569, 44259456, 1044075641, 93313834, 74062082, 370604771, 349267236, 197034807, 910486991, 769754563, 138481043, 92955588, 669091762, 668506991, 364872803, 415991167, 380105952, 789900190, 996844508, 587803617, 865845943, 905786393, 891468360, 806437509, 619176079, 894855106, 983028615, 851000561, 233971020, 34971037, 634433699, 483394564, 861002203, 9030598, 892249509, 1024111270, 175570673, 272935272, 505195355, 627956177, 828957201, 479120070, 648464391, 756509194, 505196418, 619052444, 391506851, 76667079, 942915002, 1018696382, 621184362, 334035874, 455961553, 872269915, 625012227, 714578873, 718843250, 107222383, 545534457, 41788196, 1002732972, 279556714, 548233065, 650728368, 219157599, 613918247, 967299825, 192455514, 6484844, 287644242, 953717387, 849952550, 502628534, 1023848700, 586665410, 720014007, 897718982, 366207048, 232242146, 393294787, 342645523, 114185690, 540688529, 468503356, 97289052, 312301874, 10044361, 283474037, 562520571, 1059295458, 612990007, 468186301, 798013188, 903109814, 206488187, 914007125, 614929991, 1026281203, 249385257, 43852819, 192462522, 837268983, 694735010, 209539507, 454329997, 625332754, 267680583, 244298438, 1045474028, 665682252, 692651143, 302063558, 198320939, 850938029, 220846965, 185070727, 50905557, 27036863, 405324797, 206257579, 161869495, 53340171, 857141861, 733087752, 356843803, 880567948, 649216328, 88766077, 489940621, 918490730, 864487361, 175681459, 1001240681, 444365725, 146621565, 612758376, 110402859, 754325751, 965643950, 823388294, 815288609, 48766267, 180483935, 963475332, 933652728, 208152958, 452995546, 558865330, 760504662, 882993018, 303872030, 717087519, 82921237, 225831974, 559982956, 64653011, 48013393, 893412189, 336357738, 867860714, 949876298, 669892866, 784259806, 500338120, 571920722, 216551504, 79211664, 455865082, 1048258065, 972685995, 665134874, 126915973, 760157416, 721305129, 112025586, 176293030, 950166928, 970604394, 607240693, 502996858, 211451297, 50195131, 909452413, 974091901, 1011441732, 579398956, 940335137, 388327055, 176706900, 390329577, 1065994376, 1054926082, 399477902, 906058768, 907169985, 25340505, 722753462, 1051321496, 944862025, 15629841, 976791503, 1017100947, 953631385, 766792489, 1014451155, 306419456, 243730558, 187210239, 17236593, 706742468, 395729132, 101959337, 21021745, 854542257, 474133503, 108042915, 104853903, 1027025813, 947145951, 179265483, 329516514, 886815300, 83006329, 109124696, 599104437, 36410239, 490328916, 812533111, 787253500, 16632429, 1068650599, 1011540597, 1041704498, 154365569, 846230939, 688436982, 1053872263, 68675352, 806477832, 828350928, 1008962241, 403433452, 520076027, 256671807, 244381266, 280610696, 874819434, 819050556, 160785212, 567235641, 434296096, 845919286, 47478351, 687438483, 117656763, 438855822, 158157898, 1017078731, 918215752, 625564444, 705112699, 398100550, 417969584, 142644940, 435421032, 1025117149, 289744936, 15698464, 49001360, 538602352, 986013441, 937294509, 289123964, 24250518, 63197443, 182349807, 914610589, 5465068, 515038769, 698166989, 659668744, 132461436, 722360810, 422823440, 652967575, 642782128, 526600573, 253256899, 686969075, 92893439, 962107694, 518093032, 799525465, 252887294, 1051089797, 117777721, 823284049, 860777405, 235251575, 937257916, 922022894, 892895773, 308674108, 956196453, 260003208, 915720165, 681503791, 518136838, 760707453, 851123202, 1023461776, 414170551, 81220247, 889673249, 673214127, 23647361, 1011023993, 947505296, 623241531, 578643761, 733664213, 126724155, 1046143772, 110415240, 783815602, 866719102, 442797880, 353534590, 382237944, 99285266, 387493955, 581888568, 612440863, 917753697, 578837880, 1073022673, 951698901, 877017527, 549952804, 405162722, 397719872, 530642782, 637455365, 616256845, 65650671, 307480645, 312870910, 47656300, 889973851, 181195090, 694741811, 702091518, 636043626, 1053868600, 465961778, 96752704, 1013203699, 790052494, 863995479, 165379225, 1016734644, 214874054, 787834125, 864221889, 737114302, 1053927773, 88618140, 887628901, 599255586, 820620177, 396374720, 748052530, 129189195, 157750141, 486464888, 81120459, 1047400440, 942226349, 759862797, 879482091, 383433116, 141369631, 670751468, 1040602054, 174059995, 979027414, 490097943, 429434360, 14073496, 648837254, 755039952, 642779017, 212260869, 931690407, 947263295, 872654583, 760222748, 222683904, 551824752, 558980466, 391578939, 967181357, 856245034, 975380476, 1032689566, 631016503, 238010188, 510309354, 904232822, 218210750, 938206336, 689560245, 348135387, 652821965, 1039593180, 762863950, 476771886, 181629547, 878089982, 217343530, 411234005, 25882657, 369179239, 569339160, 562267198, 1008072217, 969470624, 524274013, 140800361, 379216942, 1053086355, 1001928308, 120836870, 1031067215, 560205554, 982414661, 46256367, 131389633, 910099991, 705050012, 475429666, 302580682, 183654325, 458677572, 778477360, 826723515, 477928204, 458835525, 744326249, 713270817, 39485423, 490747285, 675026702, 563403788, 488763661, 748721832, 411678664, 588464111, 106204531, 440481396, 157663147, 909170659, 206281122, 371316381, 1032094101, 764884298, 764948070, 944343471, 1002947260, 462721051, 330770877, 224282821, 885317613, 435684902, 1005933583, 660148655, 335758609, 902011661, 836421990, 678251753, 195551997, 1009082042, 226737156, 879751239, 295251105, 696927592, 859403011, 46066883, 718045763, 419667626, 322583435, 736100426, 1003434760, 216768424, 756262326, 990089193, 876040467, 327553376, 765464461, 252068478, 849082381, 906863076, 38729536, 1019546653, 691938160, 927167873, 229043134, 235064126, 1010495432, 748496932, 291999134, 881389837, 421397473, 252939187, 41399225, 57094010, 493618694, 951582190, 263729878, 241787697, 523521127, 103652192, 961097448, 719405820, 258109078, 487308321, 173514240, 715401921, 49267384, 1037252983, 776591267, 573037594, 579259519, 787378454, 445198423, 512069630, 55199085, 22639856, 1023884750, 492645274, 971053146, 1019183322, 249539310, 569792703, 856418014, 74293007, 604905587, 727897132, 735978720, 572098880, 523605321, 303041084, 451297752, 467302410, 808828914, 201145165, 230795606, 565049234, 416428360, 641579965, 392072254, 230281859, 574669256, 969481247, 368921440, 705906605, 688912161, 996535015, 783328953, 865418640, 286240446, 351856886, 278166884, 608942824, 92471679, 322796187, 266573845, 352449854, 1015356406, 44835280, 923613461, 83376668, 735190239, 638804939, 702266571, 579409526, 612356473, 551868404, 556624255, 157470882, 20452634, 479380708, 30318296, 579125843, 400529112, 454609925, 598520177, 486529651, 462290412, 730040604, 984894478, 258353413, 997059090, 175843647, 522588249, 952975616, 241738447, 996203586, 576340101, 472051408, 643447056, 1022584098, 323340090, 606103773, 109499572, 135329583, 614369899, 28590717, 51697885, 765320543, 50750756, 740483101, 273558314, 1248804, 869341524, 587636587, 76207626, 1029584580, 74267654, 1104176, 686752873, 242271048, 546341032, 89854314, 721369707, 764725085, 316352236, 286190319, 321398661, 218040089, 712976869, 681491813, 658720096, 612891052, 267785410, 483625271, 841475987, 595585248, 259918397, 570488262, 792407579, 517047909, 626018809, 269738534, 105947926, 9510808, 758580395, 727569126, 1013593268, 1019515673, 322287550, 401456229, 111847028, 1068683112, 338547145, 467450581, 517788245, 166261277, 458734321, 185409757, 562700931, 805790702, 786200829, 104778598, 929957167, 618008034, 387363464, 696745493, 135577179, 824587916, 442405605, 959889513, 154629402, 573256133, 290528712, 618879438, 348376504, 1052846363, 232928991, 858586839, 750603359, 284138813, 147106386, 876645759, 616003620, 269568610, 319808904, 238190606, 247174315, 566874767, 518499435, 594827915, 547159514, 689080658, 614060696, 664026272, 999144144, 100182950, 1055455242, 819517204, 60658583, 378918634, 380769308, 944408760, 827136424, 296303508, 481300031, 46213363, 11115471, 225051640, 531909096, 343296069, 137477727, 992935968, 526575251, 336649160, 224027627, 717281305, 922745120, 413500747, 368465796, 860255068, 982315584, 649743476, 21836261, 306771495, 939971940, 484935691, 547434813, 453219704, 838729581, 189390906, 467885322, 1043859638, 30631412, 995739179, 71099400, 775126846, 783770052, 135853386, 875982456, 17022893, 690594793, 497906624, 669326533, 1008466029, 218720054, 513326755, 626664380, 470723628, 563809069, 898845924, 631477729, 918104491, 628405468, 422465853, 712062105, 931609259, 431038523, 82206751, 997457493, 989300266, 604045055, 614412606, 645875629, 838963257, 566421790, 701604079, 388442415, 865553785, 181674801, 718105972, 687681080, 953182648, 612393601, 471780796, 667641723, 5285982, 486436555, 386832802, 820989875, 727481447, 185240946, 740036352, 543069808, 761163852, 764629776, 870532217, 744795085, 745648861, 1048075189, 663456294, 476715334, 412833899, 750940455, 445664396, 695067920, 645076684, 331094520, 648346866, 114665270, 112330724, 459108365, 67053658, 344795290, 845587430, 741958947, 800560413, 420129575, 118095961, 606653418, 89183954, 634473930, 183155106, 503782180, 701917540, 255678637, 150644368, 961691311, 287586015, 350000871, 383353310, 353046079, 272452140, 136015754, 337321627, 859739096, 7137947, 579906013, 923998878, 592208944, 873982635, 98722915, 194053476, 853984026, 68614158, 752820763, 1037009092, 564951586, 444487334, 642980888, 631433063, 1028421615, 693516947, 861847827, 980873876, 982243805, 30326906, 93732188, 1041968088, 898143112, 689220371, 376317306, 917388997, 339707021, 486323499, 819179398, 161798918, 104529498, 168625706, 715139731, 821243739, 88420396, 324236787, 643722046, 684959097, 992983802, 306970412, 139992589, 1055095617, 217946856, 303758353, 75386276, 1066759795, 742921994, 420811165, 644647075, 41529891, 757999359, 947824455, 903453406, 278987977, 523658472, 119879754, 744920122, 129210295, 455190472, 886580832, 741328718, 925945859, 861743774, 37038520, 856749446, 764644732, 873771723, 78899860, 164741455, 413912174, 974967604, 422205288, 764725271, 369800839, 926825253, 68805174, 551135680, 224754261, 114721007, 818876197, 727993051, 191168230, 847775216, 830500400, 112672415, 303403363, 880194776, 112485086, 741573569, 48444632, 769608876, 248440259, 213779998, 567719039, 259244453, 508797354, 42711253, 558867015, 778957936, 677380572, 126854375, 132471499, 813051371, 711445367, 1018277505, 672564636, 167722838, 1020605586, 718610725, 165083295, 88148093, 1016278489, 298363887, 17040079, 856851670, 814597211, 229437683, 321563103, 533766772, 378368972, 231179, 925432113, 555778030, 367366900, 584887306, 737103988, 859104355, 999625181, 472229093, 619468946, 731165574, 678914775, 340984455, 45137941, 903916246, 478881245, 181951931, 270550688, 683122707, 166603016, 126099958, 101485926, 93590302, 1052812157, 672300834, 799709623, 1051190529, 69493578, 72699906, 781888311, 428177122, 94620224, 134896984, 466460448, 760262630, 686766849, 823745646, 1042129538, 1029468523, 604352424, 641542307, 446948649, 832313469, 910487383, 211744925, 683399064, 521861861, 951532119, 351220204, 528162056, 1071768164, 414674948, 439609998, 633431690, 273424101, 607077585, 308912868, 507779450, 338655234, 853180893, 1019258981, 944184205, 261992990, 826898171, 345079319, 491653039, 1043099896, 333401581, 647117006, 276759238, 363725308, 1048384295, 619707888, 781372495, 817246353, 686709984, 643703091, 664102548, 327092438, 429787008, 287532405, 231732712, 419205589, 763189503, 152608878, 793642210, 307462996, 24514706, 489582335, 810645658, 248533174, 487404808, 706501532, 289015651, 1017011566, 1024481217, 573666258, 1043016330, 168800004, 448879263, 792699100, 775485823, 534742999, 385527847, 746149042, 430761863, 135260648, 130400825, 909913763, 140427194, 5617687, 631796618, 768769141, 8480552, 643366695, 212203584, 438083910, 14011197, 1027128961, 140402690, 194087071, 1062756351, 923132346, 693536553, 1028160016, 711467822, 234506224, 281001493, 722489710, 529625773, 908927160, 899278548, 447281993, 509565071, 84177581, 741554297, 961501942, 704923844, 177786614, 998648387, 786296517, 752745755, 421223337, 686206755, 168999333, 40519728, 925440287, 532536575, 140035062, 460641744, 131896245, 402579952, 691141609, 60992133, 416227409, 378280140, 57142609, 24726467, 759300956, 296935392, 91013749, 637586392, 885655442, 726200853, 846712128, 1046751871, 740882779, 53261153, 859440102, 384767941, 644743545, 898461854, 25670561, 390144941, 462185482, 207341094, 58988697, 588760204, 438859649, 205130540, 922022179, 157484153, 825896977, 766945737, 971020111, 95819525, 802525832, 1057111856, 12921930, 1069097752, 431427178, 984525943, 305629553, 129973279, 957825654, 548307694, 580759910, 334722096, 400864659, 831076931, 380832520, 243027399, 921631610, 134664253, 291678037, 636356177, 535539983, 404499135, 200393392, 282573123, 854271217, 1015921231, 864000182, 49425065, 162228665, 318689913, 1045298324, 664720967, 159091447, 966378647, 760920027, 493886674, 669086512, 535383417, 136611966, 658174507, 539319921, 596927739, 348667205, 453500560, 1067937996, 96098921, 817315655, 1068111277, 563440477, 99940702, 376608834, 614125828, 687522545, 335792946, 110604844, 276180337, 446478535, 31142424, 609344146, 542297053, 991391978, 982849266, 1028585226, 524895176, 998153037, 277650445, 991153573, 1187914, 21539238, 923576910, 1017463547, 458093567, 835152491, 219273353, 96824677, 997671263, 512622227, 793957013, 61668114, 242792994, 498284349, 824692116, 154387586, 849015275, 935110737, 246130931, 5022650, 270979906, 426149263, 245207965, 215997603, 222835981, 813923821, 979192232, 964149577, 892309765, 981729578, 778627151, 1011470582, 350220132, 286079311, 937635371, 184814273, 631397064, 634445519, 965006445, 857931568, 153034545, 471396667, 757797695, 315023283, 483202715, 1070570081, 332866268, 966020878, 396206132, 795451560, 146673012, 1032272110, 78703955, 370811057, 896188636, 922709773, 638084896, 734597497, 280159888, 244516480, 454455319, 25860743, 540093034, 51500115, 1013180030, 447626559, 709145493, 727833942, 465385473, 678229242, 277619548, 369963653, 276231751, 738594314, 621595626, 519821215, 886078959, 902565255, 755350710, 831397700, 141053935, 222696784, 186343235, 95410139, 250221086, 400153806, 366391424, 672320166, 523139314, 77772267, 735013924, 145890498, 559825596, 969923434, 431270266, 689285423, 375834500, 747213565, 443890338, 906984875, 31986308, 710436619, 246684576, 908355724, 506092989, 340123593, 326152326, 1072713691, 892981445, 343229362, 864487075, 935025036, 1051267163, 297566785, 662701356, 373214486, 166663443, 754471612, 455774997, 599936721, 705560891, 482671411, 1846798, 351509358, 661887322, 59615166, 310948607, 403308972, 613004574, 645266269, 762150395, 57439211, 665428096, 907355617, 366355973, 782140730, 998384205, 93704632, 819561555, 237134608, 412243098, 241933725, 882385798, 838248340, 1000403923, 564738448, 108763801, 131851307, 472325856, 385291882, 231546564, 865863889, 617835168, 350887479, 1004207752, 607553404, 706711837, 822813186, 67695466, 703021752, 538778025, 1065150175, 871363394, 424391847, 425207258, 723631024, 1035318602, 995751945, 602399689, 409684584, 904269055, 997039994, 904002113, 1060844545, 769885696, 1047298807, 177646951, 503986124, 253909354, 748959384, 458394760, 285008194, 444879737, 873943941, 270604615, 415863893, 609882169, 18189482, 92593263, 740797883, 331447640, 877580417, 449015341, 769987658, 325882262, 722198691, 782732269, 561623447, 18218770, 70343508, 802661867, 252648848, 259969096, 470854111, 1026776240, 500493884, 581582298, 975283636, 225496365, 788079981, 280424590, 558939948, 277699601, 321653541, 10145280, 113990721, 1027177616, 81241660, 1032148595, 616782804, 598353171, 529596200, 843432162, 511908162, 127513388, 694644954, 902140944, 619669214, 837054852, 1008730245, 716719268, 122529484, 430456515, 961670222, 486187401, 19576901, 725482607, 298531641, 977658429, 85748299, 1045795425, 128152676, 2611352, 721275667, 172036748, 150789272, 165048050, 1876894, 499818837, 689111384, 112130572, 684591642, 37632456, 159531016, 861218107, 546239422, 677857699, 168431098, 751082939, 527799229, 1016482897, 489181124, 399241647, 43757948, 1066261960, 392580790, 750781024, 161516319, 138482485, 261097950, 23589734, 870139631, 647188670, 734919037, 742011754, 789962736, 527508325, 279051444, 20993894, 448659101, 441008136, 587945910, 9067978, 1053691194, 890662824, 392357460, 316895487, 329376013, 166712178, 908420990, 583451227, 541483896, 179887795, 413293431, 235289876, 662248143, 905771770, 591193095, 652507557, 815026463, 543189895, 343531082, 297502092, 601666075, 947434049, 1006160794, 98947832, 418886463, 1044189638, 91195130, 1012632791, 332461908, 316135215, 844660503, 470181539, 378294671, 972928792, 967253253, 575332569, 291751476, 1063562173, 526115271, 979588936, 171500809, 635870670, 932811944, 792564595, 1039535315, 641832553, 64337720, 57170943, 622730240, 31248853, 154080714, 785041056, 836498008, 217370829, 455279441, 678741334, 575807697, 379327677, 523317136, 967972706, 295032478, 951137367, 335610968, 805732243, 662496619, 1052980693, 366481811, 587189255, 400062887, 118825469, 740946241, 57712273, 453007622, 611996598, 339427310, 311662722, 686149006, 1058939978, 731300924, 828129032, 331583368, 157130773, 395025377, 874591490, 985279667, 394894227, 508011715, 764118777, 468052187, 702644047, 123982705, 1011434953, 639628785, 119636044, 778768061, 1001970300, 286320037, 115393666, 903336873, 384029497, 838838664, 71026231, 524757285, 732486477, 517513983, 307330633, 978079774, 871309038, 862026539, 606587442, 5911017, 586228908, 32141756, 390242894, 864296810, 731430437, 261099633, 917557460, 909925691, 597580953, 136807533, 759077182, 522650311, 138522316, 761040183, 273280936, 580889591, 729206949, 816188248, 708407522, 648091954, 246381731, 996457240, 857274285, 91964667, 502256767, 722512489, 122893167, 218486997, 724505181, 510968705, 355527788, 929084780, 64403302, 626639281, 883628432, 950146141, 729862767, 117230385, 285338220, 883923994, 722905428, 605884657, 1003206986, 43840085, 476060624, 626538437, 829513066, 326303688, 438699572, 904759630, 49722031, 103849208, 192962359, 1003021254, 604394491, 914931270, 90057869, 344661807, 585559475, 434911440, 408344273, 933504818, 9909027, 225833989, 715896284, 272246877, 199413282, 42129370, 1013640564, 681988493, 870354046, 40251811, 869643403, 522182464, 735335925, 291410627, 843927549, 940217004, 236515858, 718043195, 423880546, 33303892, 978799429, 1000765402, 684883996, 765983934, 534987600, 841230113, 221124240, 576879992, 816271292, 442172366, 459437710, 889264445, 221781106, 1048588841, 579430105, 372450287, 876746112, 109328596, 612320054, 438661794, 288305742, 975307017, 625890975, 719538733, 964410491, 805189737, 354829607, 952827817, 367773743, 702656209, 192985017, 318127186, 1062455462, 873717781, 665474305, 494925633, 160775497, 194927032, 45727425, 832330569, 382474592, 504674974, 1067645285, 519670347, 478846832, 682043636, 425241449, 1003420111, 262512313, 638869533, 399802777, 1043567300, 740535726, 86005710, 1022662444, 276960431, 124847971, 695372147, 914911056, 168314140, 23190494, 16306275, 270135723, 918813402, 859488262, 888203892, 601164682, 361542138, 648318451, 651555533, 429827948, 74046637, 512177601, 776229342, 247244042, 805476032, 948663192, 871808530, 284518788, 919673899, 844359144, 188272750, 218102487, 607691834, 90381001, 911873727, 535808351, 866023730, 853756266, 135644498, 632059037, 1002002556, 494021894, 11899952, 688788951, 555001581, 878905685, 317288143, 350779638, 994317014, 788278655, 473055360, 657543323, 900236139, 176055823, 925746353, 827994831, 829429451, 295239702, 250057292, 274651569, 1070286972, 265500949, 572853228, 391904999, 252913605, 175180753, 655624397, 751405972, 632079942, 395675263, 737211765, 728797811, 896015797, 285890817, 965976548, 901743730, 982922192, 1024452141, 869936805, 690996082, 1058156899, 974871317, 349102744, 431058561, 1004079375, 234411954, 328913872, 1037289116, 912758750, 736785498, 432367225, 753876162, 518589403, 1029145720, 274917119, 672700593, 811559419, 270920489, 952737417, 138093936, 99897912, 82607001, 75009891, 700086108, 64618975, 488479653, 681865075, 464994910, 330734446, 574529627, 37625554, 104362861, 277160685, 849237508, 438688131, 69933527, 937551258, 163424515, 146309506, 767149265, 275948146, 956680740, 222923109, 791665349, 397310828, 562426553, 363577979, 555002015, 410668229, 201803599, 1070128086, 797461771, 513000396, 521463549, 835237961, 325065034, 810451141, 97596933, 1037004227, 3057240, 744005620, 86594696, 663876625, 978048703, 475606045, 322766062, 751288879, 552008175, 477144787, 631392541, 288126191, 438059718, 819043243, 775870141, 658127925, 1041060024, 741830405, 472214602, 762726013, 166307407, 561191683, 1058966277, 735291778, 480143371, 659288112, 73863410, 381085686, 38535514, 781733134, 771077840, 1044992027, 886198596, 409373867, 479262573, 604564422, 524092191, 646146145, 412157991, 534714851, 55324834, 597151089, 23450631, 327616161, 718554238, 585516739, 1031377433, 691279092, 336379720, 622598826, 568415032, 990771150, 270308878, 355179060, 902492842, 948999061, 590555844, 1033221299, 1041423931, 266928989, 723112923, 375151493, 56805729, 684721187, 426590797, 115139084, 264354954, 904040097, 771607333, 598958091, 177902649, 1032807122, 507494669, 203804039, 98775084, 285933724, 98278580, 316666926, 184644086, 1031299662, 192979681, 967887349, 211489675, 595217887, 101333667, 171724834, 109735750, 349996654, 227397061, 730796568, 1061122042, 629688763, 120627019, 522715444, 64279937, 273954130, 970067733, 60514365, 496465414, 1064214618, 722365759, 446004450, 934381036, 306179095, 1062011954, 869065029, 240842183, 140576445, 693928537, 40432254, 148696883, 903509577, 452726000, 438521152, 159998084, 1066879066, 618038497, 596226062, 116127665, 622581370, 876346858, 509715212, 440670249, 581777194, 160944839, 912822766, 312503759, 9569512, 839918138, 716883643, 345939153, 892682406, 339623116, 423224337, 747029378, 15551621, 649726543, 207312241, 1071684576, 701014380, 90534907, 411975861, 362072185, 615914767, 48962923, 504579304, 789770421, 1041283176, 768866064, 139970823, 690477188, 912357531, 376953613, 724399418, 909857947, 547353891, 373889889, 733723561, 651850356, 1050136868, 342303448, 152014619, 220100723, 844642047, 367574177, 982160404, 453543431, 982903350, 15186895, 320756162, 467176358, 427245925, 44533009, 713321303, 564237590, 298541267, 376799715, 814623839, 957089406, 339915388, 800125242, 989219092, 417799338, 98773162, 839523936, 881469485, 39934320, 347895604, 857332390, 800601690, 529830443, 849607429, 54260021, 720049902, 453020814, 413497578, 180556702, 317867939, 412139943, 132280261, 286999963, 683828461, 588968349, 845717913, 152563844, 231262428, 905203311, 97882960, 593499441, 354250734, 450791650, 821056679, 1060583278, 654911405, 546394901, 845663852, 802816848, 797906653, 808852630, 742006253, 648251928, 935993959, 120888950, 355410149, 43606530, 734200391, 334156395, 108588472, 442346283, 506460950, 282994174, 229337261, 699647674, 521543731, 737585493, 43394934, 343553752, 91336680, 413259278, 575761240, 201028331, 1043607062, 788393329, 229884744, 162126437, 881595370, 767369673, 629699446, 57291013, 124804416, 1014043033, 658039099, 682414108, 112491395, 338100196, 866475275, 363939305, 501273677, 813180821, 306851362, 530257762, 969528037, 725955864, 82802923, 385787316, 327739487, 1013706570, 818634918, 99607653, 826172820, 966616342, 657374313, 103259232, 758484824, 825896955, 97277120, 967445616, 1064406782, 779494849, 126500296, 350603593, 595747334, 462604456, 576287491, 760614286, 304936349, 786659053, 342689685, 889387831, 4882392, 460959895, 220199057, 220037578, 582413209, 505941904, 213414274, 188663596, 407245753, 906164013, 949594534, 402622725, 764731375, 669315373, 517343230, 27312573, 983276776, 1039720760, 769308950, 945904972, 1056964577, 413516017, 9400326, 678864527, 480503976, 70702191, 67090144, 77036898, 395057108, 164946224, 961985152, 71618238, 127705881, 1001606832, 698027424, 717847147, 1053387431, 990291359, 813110318, 300847446, 1070867729, 587248702, 817889126, 512622350, 478889390, 746690952, 365879740, 552044863, 849601274, 409656064, 261642225, 739928931, 383721603, 564572823, 387029320, 84226533, 1048354479, 627828165, 818190370, 406729553, 752951853, 384018530, 892446041, 599562251, 529402487, 483180178, 139850240, 583849127, 422230311, 310087622, 773407602, 1054889079, 688243624, 630197398, 13557777, 390884185, 238350531, 737930962, 62605814, 1050498708, 118818866, 858986851, 378902203, 5830486, 533482935, 97467692, 734567477, 242018782, 209915277, 336466741, 75504971, 634315651, 906724146, 874458786, 900574784, 2759501, 359041545, 814384606, 443736574, 855166115, 872706521, 30944312, 318843748, 383617549, 109979954, 1021448015, 782856169, 496392365, 979463034, 574300525, 225497, 236457561, 546793187, 918517842, 766333439, 905816657, 284505323, 222572081, 437640095, 939334033, 460104966, 604024040, 425201654, 694379812, 731616400, 833685536, 312389602, 508891403, 126320778, 810631807, 352946166, 647340095, 439233445, 77599165, 961127955, 692644784, 559602355, 451223425, 895481502, 745432108, 924975924, 207233351, 950816815, 915756329, 147937893, 867482386, 729854657, 578247166, 256631373, 1072097084, 58282974, 231710337, 795702560, 952451153, 284945899, 270475842, 152947425, 618025795, 553789930, 681892643, 1031705404, 603610130, 5134264, 348802747, 766459107, 352599638, 633618929, 307884391, 1005211045, 500778879, 921219465, 1056576947, 499606636, 158025371, 975468293, 783574777, 704252234, 306290337, 549818473, 90731228, 513858363, 640382038, 814877275, 184621719, 392803374, 20235737, 162888190, 226423290, 709693692, 765162677, 255442555, 28754619, 178771867, 542404929, 608310975, 811835230, 83204286, 164728369, 228287558, 305352534, 365125799, 879142210, 984572542, 166244860, 734849463, 33430140, 117569877, 130734640, 494039803, 710074951, 644080544, 638128338, 680765349, 780095810, 1021453887, 389288206, 816083268, 31574065, 618345318, 80970926, 710682565, 915872161, 459832748, 962488291, 834110868, 485403102, 375909062, 996168718, 296818448, 442909451, 902992667, 805660522, 632391008, 895069155, 354296705, 378729488, 654807286, 574773814, 357212555, 591005814, 365951237, 618885, 936794710, 333160692, 128745036, 478631517, 488995249, 685440881, 194246558, 817808644, 436194468, 151679517, 576697973, 872865560, 100695234, 1059153346, 958021925, 774071472, 607080409, 1022328864, 898997270, 773713061, 403566548, 563338955, 202429330, 642175292, 464904638, 777369289, 787910456, 4854468, 877864062, 224479489, 860065795, 548378363, 51088049, 1031716639, 501221202, 466864006, 1046155891, 466592976, 78008214, 472826159, 572130446, 653933970, 735969158, 958299571, 526277639, 473534889, 514363886, 395206557, 183911324, 960222712, 938259077, 1063129765, 420707698, 504700475, 746394494, 883913806, 446000419, 577894695, 555143256, 702375032, 597409643, 249450835, 387420916, 940759818, 607458357, 915142560, 815737107, 232169569, 733734012, 476909732, 1063653795, 465956711, 607534032, 389590640, 47500706, 839768387, 946007554, 871170835, 658167118, 115583539, 645890518, 499527991, 266398350, 935186411, 881562346, 318475009, 3605132, 79581573, 503675765, 310887030, 24156955, 1024963719, 11724040, 25047607, 1008668898, 857233151, 954417450, 702813451, 496037003, 495811693, 833935864, 649627937, 965155909, 588631272, 758501007, 124755280, 778323668, 139380570, 968217998, 1064048843, 355412502, 374710505, 994561796, 1060427761, 967271805, 656393607, 758984719, 521106130, 1042593182, 888277418, 955288374, 1022241201, 766620967, 1050376503, 263834886, 596126046, 1054936589, 951497239, 1021016229, 657075156, 327146222, 857233053, 1014321402, 836878517, 858329112, 410261453, 724610304, 372710693, 522000193, 535961983, 533490800, 36889978, 1066552231, 860777861, 132923190, 818164681, 431678626, 272348365, 112456685, 191117933, 661560582, 505815825, 290537044, 152977282, 1000809012, 52365494, 696440214, 263433914, 257138125, 1031926841, 878127976, 477615589, 312984500, 873247796, 326857396, 815682531, 612450569, 757503137, 963529871, 651872922, 718604269, 50073778, 443214267, 833932948, 909209440, 803709025, 963379950, 442945706, 587833171, 959664112, 161433896, 260180989, 743631291, 707034840, 748966191, 911594303, 1059991561, 712093672, 1012164, 388387707, 604175310, 359082166, 743588936, 817589893, 218115072, 526414831, 360867932, 201546484, 554530255, 133051014, 375033967, 1032204014, 126618774, 516350024, 1017378384, 565778448, 559179272, 220845034, 171970214, 610679982, 1019587306, 785882584, 383593917, 463180378, 828072858, 454005437, 224808823, 960512423, 1042622826, 235658936, 696970334, 590260945, 691730452, 1052309586, 426287240, 125528296, 865773452, 37944604, 218370031, 13386792, 240257523, 44595459, 116586810, 335297515, 990490596, 414606641, 310199041, 190453971, 283268170, 493519684, 111565897, 395867601, 406040333, 132428540, 754907837, 264774722, 284443815, 745753889, 98795123, 871408070, 191748479, 230796839, 406276383, 75124874, 1024364390, 940549034, 932513134, 987917895, 697001249, 1005443320, 861077726, 199337090, 250780538, 817150268, 524103049, 780861147, 326662733, 169309319, 425328742, 151284449, 1056479384, 826197268, 401648371, 505538603, 130424605, 175117828, 246470526, 131875422, 877076894, 687180103, 450639061, 529786377, 98992779, 878445753, 572883354, 640024927, 576955950, 956162555, 587926, 204690887, 1043213844, 428542734, 211231849, 874738064, 294577947, 2057985, 713871136, 130224597, 564063964, 729229570, 492303146, 524239692, 873027159, 225283412, 755897222, 468929022, 316223541, 351310767, 160709397, 993342152, 384532927, 449074228, 155421016, 758482227, 901713828, 234482861, 266454050, 300954031, 265044803, 744927290, 776336351, 421224194, 66005207, 485387516, 404973286, 677424510, 636814100, 790578148, 711553042, 24156028, 920017681, 394565345, 510246468, 633458243, 907732886, 567699732, 955685571, 1055402682, 328595038, 37549436, 567475838, 569181258, 432730802, 116643920, 338785226, 576079555, 784575913, 255613406, 868215622, 1001118607, 531783959, 963660183, 882539926, 610389599, 777777129, 674220690, 1039994506, 404859221, 65676744, 506308195, 775327279, 319666002, 445709465, 282922157, 413868103, 834852327, 56836410, 881229980, 563034687, 718864738, 269573958, 610462902, 364643176, 706806085, 197030960, 107022807, 301751220, 213935616, 1042677654, 713219007, 956228177, 1044725292, 822151225, 1976772, 13009308, 163824925, 368605510, 747475898, 444602474, 345017853, 542994922, 51830647, 1050501938, 943151703, 44236435, 935256930, 114507541, 238151032, 517269308, 616517134, 587870739, 97586995, 254078796, 646076410, 629578992, 846416649, 880856363, 896092991, 307446326, 1046640231, 337873424, 350502235, 72648497, 629103204, 458074860, 300000566, 772554888, 123992506, 179193902, 884997751, 885842902, 1048197048, 713611731, 949090612, 556673490, 116030337, 935108832, 110864014, 594570738, 919510887, 114876033, 267493030, 90843791, 472042684, 584770765, 349332190, 752095705, 666887943, 913770975, 630498631, 965533592, 995416273, 1052065942, 842394772, 43492879, 1051044852, 977106159, 353920614, 134667357, 427098296, 660684855, 429859414, 316267331, 205926561, 74899284, 534211147, 744710607, 785958232, 305333060, 119152557, 49390097, 329980339, 824044297, 719247514, 685613190, 761930067, 739930376, 781417868, 716628520, 561076673, 1066456785, 607193501, 196859966, 499522069, 24757792, 1051710011, 835932709, 944601373, 939224491, 737716293, 10739509, 1012221541, 1014734242, 227931912, 987779080, 870368171, 614581424, 781145517, 211737279, 446458286, 482903247, 350729524, 932642658, 742193864, 198695609, 980471822, 697286215, 383023978, 503829365, 989308521, 918025318, 1030420975, 57344450, 207471344, 1023489585, 947099981, 1031165268, 430112271, 318612645, 672660409, 596760080, 274158853, 986311143, 37803067, 456098320, 243835379, 75746464, 743009097, 625089751, 235990944, 28116832, 33275943, 884724041, 805546290, 689717664, 1068785693, 998983645, 928724534, 187434539, 522849901, 968032756, 647746822, 579473480, 52842144, 501084335, 559736589, 246485739, 421235794, 1045852410, 976702696, 613199034, 884029496, 357891282, 697862375, 934022197, 567400199, 825311730, 90699405, 708588315, 840894140, 477890092, 110616265, 641019936, 164275662, 876414987, 538178738, 125696331, 187466990, 149750452, 398441097, 16647931, 591488096, 330354950, 214194737, 330191721, 754130659, 170012954, 505471055, 355791438, 837644335, 140990557, 482788430, 29111766, 187105747, 797239363, 338398569, 527989052, 852414784, 485117793, 176547755, 874235618, 733270670, 655876878, 382307753, 1038296703, 545939241, 991086430, 709901733, 219841452, 549403838, 757538450, 947255737, 477745495, 94359254, 1062285065, 557320564, 499898748, 891747444, 421128477, 322454942, 350807933, 286283389, 840646377, 525225947, 1041774595, 82681729, 746741500, 260045970, 517864806, 579758323, 810952761, 487612821, 1011737275, 773675204, 424431091, 153668643, 300060228, 908414358, 37021960, 923869581, 396954055, 367333847, 90952563, 923106871, 197245298, 530189579, 469829273, 353463984, 98794274, 144118158, 539699181, 449269817, 291099218, 796614089, 871169496, 924858651, 205476217, 796624729, 981442297, 160036580, 901227499, 273413352, 179020019, 930861746, 87954081, 39861066, 96033707, 300361071, 496032404, 138792834, 675120125, 536903262, 194657976, 672401787, 292639805, 157321677, 787699955, 905403322, 950052036, 675590649, 256224258, 626776367, 438431302, 479786745, 142858851, 96546036, 777118775, 730698372, 331707592, 1038337000, 280493118, 575575820, 935732756, 845078861, 839738083, 1044401718, 941692208, 445918754, 906660676, 441365910, 677081517, 466033794, 1008549334, 602848949, 501730786, 610409701, 724895038, 277888164, 292030864, 124251413, 559094038, 484840065, 258453651, 820574420, 1057496271, 755990293, 923881939, 368610783, 394754528, 417042023, 348723616, 736706259, 605167146, 496540163, 366221735, 9069359, 376188829, 1022460416, 881761492, 846848313, 912400256, 514938479, 899664360, 767313828, 836636523, 795560841, 344620322, 273649843, 705136009, 58543666, 118652649, 188780927, 764865319, 209357266, 419673743, 1047498845, 1032253195, 863555899, 305503342, 290571729, 109690356, 326005827, 746782683, 493778351, 726503821, 564337891, 166424558, 351102208, 288490367, 593826343, 735853505, 621126934, 950778362, 521796742, 89338121, 954643697, 346385731, 184010851, 79355598, 554905415, 943415477, 62056275, 191175968, 39004730, 343068656, 587403464, 297011502, 1014266929, 448006528, 1022873293, 821412218, 189831258, 908661056, 938149636, 72954468, 310339299, 890391068, 926805037, 2385192, 596180076, 839606485, 711628475, 1071191381, 192468527, 299560442, 411344423, 827450598, 954489362, 987546979, 646413620, 262611540, 848019698, 912643368, 691429582, 309040196, 980119351, 561697267, 894509178, 904908708, 496194737, 770884387, 753985653, 1030500642, 9751087, 767756384, 870491280, 369642662, 501875346, 572364344, 148441775, 889982193, 320602645, 775256800, 67889716, 81059389, 126133047, 114979484, 203548458, 492416999, 209666040, 363315976, 272818991, 267269415, 4299442, 746409446, 141114652, 934456553, 785267337, 940671113, 844796176, 841348264, 429173132, 69938567, 647803914, 113231350, 221843697, 409814476, 1040328365, 612361695, 695244122, 559133670, 290788505, 19251930, 627136276, 63556820, 406108684, 1016384576, 341476297, 37803586, 23082310, 386425172, 910032412, 465746994, 690395688, 17617569, 128407677, 247023659, 295742880, 14960064, 94788107, 1006792957, 1041503086, 16832533, 711966053, 91112297, 783441757, 283187497, 1019561789, 480423784, 484512229, 75819369, 542553845, 674732009, 811280898, 926532582, 528381130, 89538980, 418978913, 411063819, 954193474, 921235388, 505650098, 932629044, 159751115, 1070111743, 443629165, 558594638, 194396701, 260662498, 153801497, 781711946, 984034862, 247615015, 21476048, 875538290, 167915870, 100110091, 228728646, 782814200, 813518024, 927832725, 954513792, 135258711, 182673404, 452928411, 154187865, 691313648, 892443241, 911076916, 1007222500, 575754202, 419260615, 583454402, 1017928728, 812465535, 244290182, 451112807, 855125276, 684926999, 354834501, 421589909, 735259129, 356333943, 617509675, 595536907, 904594662, 921133694, 1031067589, 56828998, 681043649, 715887879, 736693700, 262906305, 649874149, 512466993, 68095433, 733721739, 976239313, 572530142, 361729933, 710666848, 934060609, 559077491, 790849609, 25349084, 138427431, 439670165, 921542447, 385613771, 827608452, 1019217565, 737667210, 596461329, 687191699, 707694031, 788092880, 552832984, 791991517, 454846405, 939991695, 683311543, 761460605, 174288361, 288079635, 803293250, 1062259831, 17373793, 147790129, 834600167, 60716013, 656380662, 134252506, 965346461, 74017089, 486761197, 935664824, 780940890, 842877977, 342194359, 550298033, 1052975832, 988906708, 702227431, 369865690, 213644265, 171329504, 491938758, 812038373, 11576746, 690226803, 943903415, 296975737, 16607048, 505402074, 218266691, 58414327, 975424291, 1063767400, 31500479, 277332007, 795551381, 45842817, 485575347, 769207035, 541184175, 722259537, 166198486, 219533849, 471788376, 591172041, 673924229, 748192821, 233287866, 447224796, 654531561, 985356688, 254881718, 145839140, 965548647, 208077274, 898202631, 449839251, 446745890, 483275944, 265766617, 652720081, 344018906, 11398465, 657261807, 231667940, 232174217, 723704533, 306350891, 866235367, 999701335, 311138042, 1058295569, 429828524, 317157304, 990417220, 1072295797, 1072755790, 893929980, 189272840, 82567108, 899386452, 128735430, 738991449, 378390305, 211790880, 1028737936, 821539327, 813314867, 172416353, 86329468, 883011520, 1049442948, 46955228, 27585879, 636115294, 487520789, 233729141, 341532976, 1027822658, 450843634, 416663697, 502658535, 675035031, 137237357, 1069083877, 677726779, 341140164, 745408758, 976616713, 763962843, 720725938, 183918151, 956409980, 768889651, 550062120, 112164946, 252374196, 121508172, 922949317, 235335067, 913975656, 754907129, 712111424, 739157000, 791931850, 451355506, 406608171, 859445311, 1011567881, 205292312, 8302777, 366109838, 836522103, 624953054, 741821447, 729110432, 941629837, 593130072, 148288304, 648867633, 705009702, 827394605, 1019790232, 737863820, 1014309535, 816458456, 893494749, 27999509, 890432478, 350973651, 107158304, 965923138, 111443974, 666779068, 417487774, 933869977, 706233169, 731182287, 561866635, 727829048, 870800972, 594721981, 587251948, 119552578, 409688143, 884591083, 105250153, 151603020, 86405930, 655193817, 319605191, 522430432, 276992270, 197755059, 511662614, 944748221, 153739070, 115217306, 341431409, 1002736769, 169337134, 694879049, 329828451, 156668457, 1072884344, 541276890, 20072862, 968976810, 386935017, 242899340, 130453751, 957884825, 845515181, 120080763, 811309945, 693054333, 702566010, 13720435, 993456277, 697055543, 447703127, 154745438, 591787026, 15160424, 189919701, 392053489, 758702899, 925646898, 757164363, 227311723, 459611330, 932344365, 846488167, 501823102, 288261576, 449572078, 950989660, 831718007, 624098387, 754199826, 3460695, 115928742, 305505736, 462716354, 758584215, 308421954, 349456396, 53802307, 480760825, 309224457, 908642219, 762793953, 195093346, 457519384, 696927898, 926384292, 812733246, 738858861, 1051550590, 276580731, 496722277, 300756593, 539337655, 361408887, 30898775, 780564420, 29547430, 91813542, 348366415, 686354715, 521411739, 84925082, 860665322, 545842008, 202313059, 415489833, 454663444, 87798350, 812497543, 849007746, 120790903, 46559800, 9000885, 207067232, 901067590, 707736471, 969663847, 1030257333, 623073765, 201137782, 176570988, 105772029, 408523437, 383751770, 428790289, 505193531, 19261269, 668589506, 976351921, 655865662, 542062994, 850596120, 551907838, 224984420, 857661425, 595953491, 152753312, 654430924, 887024450, 326998411, 877586921, 629559235, 850574371, 539250817, 1048460612, 788245849, 153593697, 604240953, 291792578, 558589108, 599973985, 830917787, 436646294, 114493405, 45813896, 1049910133, 987020436, 1052403061, 352863469, 333180753, 898062529, 465141101, 182793280, 328770938, 966376703, 557075970, 181258866, 639112823, 464921195, 3082736, 683474658, 835063229, 643836575, 33699277, 340074548, 991091557, 182630499, 69962224, 105335745, 15905558, 757255637, 519921726, 994233402, 789636581, 619407384, 646792374, 1037821290, 404156123, 738090789, 96077485, 697550467, 690654843, 936543704, 970461090, 479517250, 897188299, 855206809, 708124244, 905862273, 199378652, 920951587, 29077656, 882277215, 236321034, 460680704, 613942788, 426993624, 383609775, 58346297, 654163735, 865117069, 834341035, 1011910207, 759749065, 34695252, 260248348, 241961322, 933427819, 1034586858, 522472191, 392499344, 346729295, 286768576, 284556959, 467335612, 872609451, 962997467, 191763432, 1053090823, 1013284302, 852742386, 821749685, 197137819, 1021546463, 623215208, 244213195, 782565092, 706254425, 167464290, 307663004, 121494005, 497325848, 432301214, 316272779, 836884323, 636204518, 315383368, 483452563, 845471326, 619505642, 248128264, 70495256, 39502682, 716400226, 295791561, 846964477, 797306088, 366423644, 339884189, 1018749635, 662696807, 653722482, 795945112, 269195587, 402811101, 454544332, 892958868, 729467551, 541825325, 185807834, 919106599, 894034785, 86031971, 52097387, 162701192, 153619046, 1046182183, 260187234, 939033044, 964748590, 981103880, 4077773, 235372753, 780689300, 1020664859, 278726351, 35892045, 617926509, 540314713, 423929585, 392407998, 752283804, 553112929, 712765277, 42497720, 319606042, 519356799, 960287963, 859615854, 684214743, 815312709, 531677988, 604543675, 94072663, 272270017, 426063028, 362958473, 800021836, 888393456, 105753715, 1054336839, 277182935, 400411597, 963216442, 119627135, 740303245, 459605039, 672274097, 1022606923, 39986745, 281204344, 540732359, 786807593, 924576310, 987336166, 686284193, 337117033, 471975659, 354957832, 596300611, 309243151, 348808861, 68361556, 241093096, 534970993, 1023020042, 929146955, 213905547, 114475440, 1053144002, 445650322, 702618003, 1002905920, 697268549, 924052499, 438512768, 14317499, 322301051, 501431544, 533686918, 297073963, 114640385, 1062147730, 845910215, 217336038, 729153595, 422364633, 195487148, 778608260, 434821053, 1026760672, 334276113, 486694757, 91708342, 677724005, 553140084, 673478056, 1052708641, 520572207, 957887986, 492875037, 706662667, 710444260, 98525732, 767595296, 972646908, 222818896, 466135336, 930284870, 113006695, 918665925, 273651663, 826337648, 935251117, 458186711, 441715549, 451090566, 112159195, 595729830, 805881159, 117963491, 975860888, 765860968, 677806981, 872743070, 824522963, 136940826, 521551475, 754358276, 627423681, 405929209, 155538550, 866673945, 414204224, 264448290, 704264841, 605267208, 601184354, 533345845, 947652981, 851827811, 550644094, 865068729, 19090840, 965644041, 342934320, 735343063, 341272028, 1048508323, 131548904, 215879498, 441171450, 1036326545, 238025312, 778390698, 266216230, 1059404161, 1023343648, 223493710, 421582501, 264686558, 585660805, 337319723, 722198349, 76636874, 548790887, 701705402, 1073672495, 790815857, 940802443, 369086418, 734668829, 1053270725, 617176902, 647794911, 301298165, 449867353, 992869883, 507872498, 789286001, 808888454, 642275676, 821209267, 780894248, 783978103, 74836754, 641295111, 916190546, 956514146, 30005012, 563959453, 421854205, 857778999, 704320595, 1058647888, 788659965, 640072969, 151941149, 34569276, 153832098, 660205311, 611148960, 375819434, 213768520, 799200062, 574770179, 331364910, 269576162, 666497145, 1042261623, 309863849, 74106319, 376815467, 909206026, 18931894, 854990586, 620318290, 258488651, 639598412, 897835463, 626668270, 981726604, 802885197, 1025999243, 992206533, 699080654, 671238268, 319151973, 575019865, 289015116, 284145868, 12810597, 674914831, 713060651, 378869823, 571968750, 705475504, 888290919, 88455000, 176331967, 96346798, 69988025, 572441139, 108782288, 1016265491, 447996320, 48881789, 263239838, 828759469, 835352730, 379973072, 247879230, 816063952, 339714743, 38623354, 512617732, 966691472, 220700422, 156982002, 601451038, 143260658, 851323324, 357361271, 672197113, 468780400, 1007111075, 17418867, 937320683, 325130178, 933643624, 919269207, 1018216662, 828589171, 674990177, 57866926, 815277692, 136335277, 806382867, 336695789, 873235213, 657432257, 953216650, 590340385, 897647972, 258969842, 1678751, 1042087786, 444725886, 677951891, 386423047, 1029802304, 941042691, 895631771, 199490608, 954315415, 153597759, 290824279, 583955525, 659507026, 975554208, 458467318, 4495255, 512820664, 735342590, 164938103, 370480753, 647486133, 779367929, 881825047, 1031390408, 720454374, 863981787, 392674358, 942334307, 139782043, 33709450, 303404861, 867131518, 413366803, 546865147, 88910635, 758861428, 49894643, 438064300, 34787890, 24169526, 371771632, 67231252, 645443991, 352733267, 944372080, 912848443, 729116165, 1025977703, 270712778, 74923754, 963483273, 774999156, 627542482, 903336619, 716136576, 856684312, 770812161, 801319890, 775579910, 907961021, 79180677, 441215559, 670613554, 840545426, 121881180, 753968792, 208980584, 72636647, 302357202, 580412959, 355688547, 489051774, 519256672, 628930646, 897733575, 488598835, 1015330748, 343112876, 580757253, 1020078870, 510900748, 649263718, 55608780, 822902957, 640229021, 616280628, 922189452, 585608230, 945483627, 618255306, 549019196, 331067251, 578744846, 371616822, 1067890944, 865440960, 656930596, 738916704, 453091720, 872045650, 720159682, 865812844, 565981067, 970968412, 631773224, 689588485, 235139258, 1058713765, 209583418, 986551266, 878990356, 740655330, 900762424, 212911275, 859708993, 327658798, 240306048, 70530679, 451055454, 742468433, 672282139, 608409488, 535506877, 236238276, 924650178, 592456105, 996932238, 85262597, 457912826, 664198850, 111583268, 239878833, 1064643343, 5357172, 1063488536, 954264014, 1031551977, 741818656, 622440129, 5594480, 949563119, 955371679, 345212417, 534163656, 544941928, 270604256, 325901339, 1062663700, 686623475, 75515251, 601917264, 938914063, 131147410, 944286617, 459699953, 759442677, 870668584, 954532938, 294866635, 255371854, 154685577, 213287678, 750303337, 819514485, 147847955, 763040973, 391823404, 976918198, 1062335396, 420055483, 63983300, 106956385, 140130404, 60894043, 212285333, 138510570, 970360059, 1008565604, 600741772, 471157501, 889752783, 790969591, 660821296, 486664689, 175624525, 623900231, 974620076, 136271498, 473214644, 147755211, 979716636, 530099743, 1008901574, 643130119, 221112375, 306762861, 211359933, 951073246, 31434592, 868232792, 791690546, 229377214, 211543635, 299840179, 282613600, 98696349, 291320876, 75399200, 49953286, 889811311, 792068556, 201963344, 546716685, 754104325, 10499260, 1028251169, 818310543, 482566328, 826732353, 55756360, 262971612, 391292219, 922295848, 313481011, 74445232, 174596461, 783928804, 655125343, 479432405, 23649364, 366925478, 116672164, 805746083, 216046931, 801983136, 795785449, 745539806, 710758113, 566612086, 145883507, 391589910, 582388148, 527278924, 274673938, 917945505, 313558859, 522408368, 133003719, 666508539, 959240571, 825706906, 566383108, 1002902778, 551923278, 180629944, 207994089, 241151209, 580115606, 479030379, 113642817, 623966321, 375060749, 116628046, 911649637, 877388828, 695991240, 542979881, 417079536, 303357693, 158032164, 3986860, 120096881, 333820141, 595558901, 1048919788, 788384858, 1039377708, 841705432, 142864190, 328847815, 840007238, 1035969765, 428268755, 367360885, 482493226, 481884257, 107733928, 409218641, 99464883, 830883207, 170908856, 562166607, 260147488, 819401837, 723875266, 411345408, 48540384, 586386592, 974099158, 114128259, 478812307, 1064158957, 775161925, 635297698, 365592138, 917573890, 425812345, 267130507, 554160340, 573457360, 555157358, 550977123, 289012601, 205043888, 285871781, 236472161, 238671146, 617023211, 547293790, 427354409, 407937597, 164434765, 755958369, 1003120683, 526868965, 58442506, 987599134, 359209633, 264200835, 1054690261, 1054042081, 211180938, 246019800, 182151158, 56863383, 573836786, 136543609, 1003771257, 334031399, 390364903, 1057314316, 870688798, 246544358, 72163617, 1032683050, 1018593946, 152568934, 142961979, 307429852, 985231758, 819867986, 391068835, 190769591, 255379245, 1070893949, 1052683780, 221264024, 595076179, 499041790, 890954208, 251941253, 212432229, 796458105, 813450265, 934746999, 528063779, 326296145, 686572493, 479220009, 155122010, 318050523, 103191657, 220630169, 14688737, 17353005, 783138656, 376618464, 973778198, 554475192, 95652576, 409405885, 449586489, 1000735669, 675105742, 398189479, 22608683, 846305481, 83800016, 596486986, 540920138, 269268464, 378013479, 815397645, 210578909, 309366133, 542648223, 341989137, 81417065, 76585154, 681298624, 906911436, 779551564, 137441224, 627551316, 703145042, 108956898, 169333516, 895686523, 74677981, 421177467, 1069493103, 198968884, 248943418, 1867154, 1041014420, 82504213, 93046289, 148776133, 29627899, 759328070, 165701848, 673276183, 209580297, 1063067905, 214944827, 507717251, 741834083, 743854655, 590803851, 595068074, 817023726, 585644644, 321250207, 895419879, 677728677, 352934631, 639276802, 940420547, 228872888, 995249063, 192576074, 40873374, 909633291, 567793420, 443235994, 282396712, 24820141, 687630674, 807460215, 595127367, 347788776, 546201784, 139608552, 785527712, 672333132, 323651406, 317050398, 572148527, 939662137, 214963406, 573854808, 642779392, 586690742, 556521480, 151123102, 772590557, 550094745, 513093890, 146382183, 1062100302, 1300507, 732643551, 395596653, 298571932, 77184759, 740326040, 591283566, 39867156, 615443635, 631083806, 662360558, 129528838, 197351379, 574773396, 768515832, 527155540, 932226994, 959739853, 827113080, 412844341, 464861041, 109478108, 942542491, 774291627, 677522652, 813377756, 695835903, 1067339616, 1055785741, 154075176, 194970455, 758469677, 928296492, 818598211, 149886782, 363145334, 621611487, 575616997, 426322940, 361360670, 986968477, 907017471, 363357976, 1042758708, 834963995, 578677827, 988817177, 566987307, 206058641, 73673362, 532342503, 683399484, 256347573, 167282374, 986697191, 718589210, 693877158, 465244755, 311443515, 641106639, 808812827, 734165581, 506506213, 293215429, 236826653, 1041598107, 696558431, 590960931, 431881286, 1021823367, 372324096, 640463114, 1035588147, 361749150, 203232499, 483933806, 72921678, 826993444, 533626909, 393119091, 184281836, 459951870, 815300559, 201298006, 246926117, 937344717, 176308279, 264815515, 124026081, 424872070, 512668005, 244575505, 411656753, 570059857, 697503138, 44491580, 175356119, 1016211416, 445907108, 1065248598, 94272987, 252570074, 886451432, 1068228471, 220004751, 675133359, 782999205, 38618906, 12406196, 890695349, 683951677, 673155787, 834535720, 256785341, 204855198, 74159533, 223079395, 730570325, 960548265, 831939485, 970084872, 1026222635, 683108133, 90961280, 769339710, 28039315, 205032396, 885960478, 109847599, 490308150, 776730076, 337132633, 181649962, 975513171, 506724516, 242703741, 489463782, 219008181, 5434811, 1063309246, 889269126, 392816150, 91007716, 493322800, 702340257, 126779998, 650502402, 452914367, 294379445, 301316290, 549742649, 388231161, 152363799, 457996519, 170516831, 54504584, 555514425, 275716996, 278183568, 643603724, 408076622, 799253725, 332096558, 694698006, 79353923, 1070656535, 374287761, 511287578, 231202266, 668238642, 802012608, 611750251, 422390988, 143791283, 61371686, 629229183, 92212739, 772753201, 757847403, 774377217, 44189303, 683183093, 946944472, 750835557, 229967327, 95098207, 59742444, 168337123, 845363604, 790090378, 367622276, 240510763, 84334370, 927309375, 720724174, 921238910, 366734832, 53806804, 510564416, 17109057, 1005980623, 516716635, 808182855, 46097473, 454024345, 766343976, 785823398, 863186606, 19735019, 730179411, 367503583, 475024637, 445717397, 984553527, 294148587, 235414701, 742028374, 932064617, 941570375, 1027403801, 403801018, 26658531, 951151197, 617553299, 480452108, 676527241, 449545576, 726112771, 241480327, 977388755, 1044357846, 120044811, 512733746, 68055539, 245146536, 857116926, 303542936, 152154103, 483008546, 598088065, 493397522, 73377191, 49011809, 145041697, 579336418, 547158795, 945133605, 17779715, 174101845, 337363754, 482089717, 1033921847, 1038013829, 329662220, 355552163, 888728506, 333095944, 139283916, 370789711, 119790489, 61697170, 263718006, 498725444, 110350961, 279714658, 503210677, 810654836, 256826490, 1008795641, 451486012, 394824265, 478227072, 562393758, 640508087, 615057343, 185814271, 970131581, 226652003, 88356501, 477036869, 1009245394, 796219633, 274998533, 782618714, 318949378, 317385311, 817980635, 358311822, 717088605, 601601578, 334845695, 231337461, 431046545, 1006117237, 567716070, 71695121, 945195812, 577247191, 202713174, 930130586, 1060583688, 874132828, 606532902, 193808359, 910694684, 441877709, 226649016, 832436510, 725741717, 819310071, 917961445, 393282772, 111578731, 967045240, 689050446, 758413173, 1068151661, 494314997, 113605164, 1066809704, 621459199, 136895753, 906267100, 899839180, 435605599, 1014015110, 1030214086, 589736932, 852793021, 212713782, 360657892, 936877124, 859869200, 369190012, 397452249, 151662743, 696747900, 133049547, 967120385, 85249327, 980903478, 868201401, 338044783, 955180493, 541709429, 46049250, 1008803644, 992446205, 205586449, 797508031, 829795861, 223047830, 102052342, 376092080, 1033518826, 724990064, 310623202, 279566891, 209538746, 855770732, 315318405, 4217970, 205712943, 302005083, 780568511, 361631143, 679959317, 567915021, 631000907, 548153957, 760998956, 139286643, 616331118, 143366446, 80606860, 569892916, 475428096, 989983864, 877010548, 997810790, 85003936, 903169483, 822919463, 665644576, 801717826, 853826708, 315280048, 3977643, 806970371, 780886500, 659980038, 302460962, 10410023, 563031806, 743985029, 736799022, 1053148897, 92591848, 751050687, 295193126, 560454215, 159411581, 280132470, 1070623618, 522037736, 34089791, 804394049, 285588270, 824373157, 247457391, 857213103, 822320482, 309047004, 982872833, 845788927, 902876427, 745815657, 831215352, 725002143, 485790019, 417729982, 679286732, 525651047, 786549370, 357960877, 911375239, 874597064, 437935839, 276075254, 574624040, 1062365641, 866006251, 702434202, 968165806, 426357845, 258384471, 477632083, 30555161, 995891078, 37588438, 128232936, 508358357, 437684047, 713392164, 752387352, 717724641, 67984610, 500186922, 569117471, 498554684, 1052521387, 849032938, 959197026, 221293931, 1001232157, 239235783, 247778012, 843835118, 577181400, 556937483, 555876578, 566024036, 280570288, 495255892, 799318088, 187653400, 1061723441, 99293012, 756702390, 443746656, 472412224, 689916207, 758524510, 815785688, 409089086, 149314394, 288700430, 102426675, 398000283, 298590831, 203224257, 141751207, 611877973, 334896675, 87414595, 672996905, 770329472, 209674697, 44804024, 885808403, 3314307, 112656858, 156503877, 797286062, 91490308, 903067117, 308765750, 606326399, 770411998, 147649480, 387099244, 945764570, 21723349, 705232419, 391948361, 425757664, 797891477, 719140053, 373929933, 881947529, 289999174, 917596558, 705086983, 792391134, 261383881, 747606089, 366397852, 624762020, 324048434, 489661382, 211962429, 210952547, 692381452, 615267304, 534119968, 48436536, 923236647, 95697674, 46047912, 966243350, 928131876, 966906833, 348232905, 833323886, 68684025, 234348684, 447111552, 1045947777, 574343554, 605098383, 651552024, 346746859, 497334015, 310549093, 174962297, 548175202, 852127960, 755039218, 75303271, 789473885, 584929592, 460099634, 666879878, 654335939, 583788526, 241674598, 490075265, 347181481, 146226851, 330586898, 798979846, 524004434, 313712227, 389311042, 35314960, 901302625, 467102467, 1066030327, 866017334, 612513480, 80022832, 401622559, 779821962, 56055612, 862431254, 762743874, 933694134, 428841545, 201916625, 398088432, 793947313, 449888279, 594375378, 694337513, 214265321, 335840536, 703479368, 169587273, 343020653, 758557549, 44111270, 758083994, 609012445, 299249917, 506459316, 72563918, 130892928, 500014164, 915724563, 756465548, 6232091, 431036898, 468569107, 208512336, 266557692, 264192594, 738057056, 737949669, 890803440, 336043468, 451837374, 248384875, 599326874, 1021086402, 131447258, 335928683, 940597431, 992478710, 1042415213, 351799337, 584767122, 881322632, 436521292, 428578113, 280400486, 1061010119, 62985850, 898805900, 894302250, 273873389, 47260647, 575137183, 391811230, 48334945, 925336716, 896623045, 251779562, 105266635, 904905554, 782731209, 1052565587, 923160713, 665609963, 1002440998, 968250297, 678277679, 1059092169, 1052778923, 284136167, 27787584, 546706477, 32472895, 813337592, 131681996, 287519872, 589926897, 873277396, 1039527717, 983590196, 692206235, 942607736, 508533879, 961091845, 872213789, 1004911994, 499877805, 813391725, 410117947, 926386967, 393716637, 839028021, 1073295166, 169193386, 11869657, 30262027, 854025732, 992734327, 1053607671, 78958790, 364555191, 282392913, 142646076, 618001658, 449294956, 156978104, 696657289, 1031497366, 487024762, 999496982, 430273341, 398645847, 518312827, 482809058, 518220118, 760570806, 117534753, 690503310, 27743253, 890284752, 628848924, 2535436, 71178040, 79751843, 625630931, 790290688, 808742525, 531107974, 603183583, 663089869, 565712695, 918673566, 671128787, 350364693, 950662186, 736374958, 273824262, 913342263, 286365669, 4233573, 367680685, 424440383, 766973414, 608669491, 78152379, 131622215, 258090397, 254901537, 248913650, 722494757, 1056617748, 531005051, 604586456, 949818536, 816032445, 992676502, 514297579, 54208098, 922703953, 509060232, 1053545085, 1023791159, 271795472, 500534035, 940071887, 71615594, 314769865, 316674699, 1071404452, 837185817, 262145927, 477380455, 425984595, 742500228, 1018085351, 91068178, 252601926, 641584477, 763515738, 67422185, 323633246, 453365909, 244721101, 586619198, 359445345, 135042730, 33605766, 862191242, 122576899, 431517178, 148977293, 951657588, 783723648, 320985501, 484784081, 576848932, 1028946836, 648683579, 800607731, 828027797, 547343257, 334817528, 529335918, 997840478, 14060003, 858522183, 215643034, 647329991, 916299024, 677327547, 356471289, 652907230, 267561025, 300155267, 762661879, 336705816, 142110987, 215492571, 441484313, 4854595, 16336990, 818634184, 777744385, 511051220, 323384063, 65918983, 845586397, 922810355, 601278737, 775175124, 419179761, 25119347, 29823470, 956245903, 244241886, 609810321, 19853429, 925876244, 299726656, 535518990, 226967578, 849608207, 13167565, 544099046, 955427085, 776709073, 700179921, 998061381, 448768535, 621328186, 197705012, 202585862, 4990304, 423680798, 857379714, 624049417, 955211701, 547020095, 1018250719, 56572151, 414629342, 46756576, 740226524, 734779086, 178887385, 27888351, 33786485, 536961362, 352228637, 608064342, 537500376, 347867829, 962200785, 625311400, 852081454, 372658198, 194048061, 369071318, 176703664, 1028068771, 966921297, 929273489, 276391541, 115812005, 906674577, 884967777, 763619497, 188221606, 681799561, 631435672, 608167166, 327924860, 10602912, 759684869, 12238173, 830401083, 315775314, 998469962, 889079092, 301840668, 900283840, 745678398, 981861269, 112207362, 1010454116, 610094647, 934990582, 950651942, 934702990, 673354954, 1071261933, 166566445, 659964848, 726900096, 488408857, 583163965, 862229127, 244194445, 384237507, 612023029, 350412732, 633015615, 516372159, 277534248, 359868265, 538833893, 851111999, 992650115, 275145022, 464136990, 449775374, 389312967, 286268360, 827845110, 854176524, 77513665, 954800925, 60983286, 362811701, 111450985, 481323736, 392058110, 668821369, 666896167, 865438327, 627123502, 370287281, 504915836, 215786134, 608232535, 1014481967, 674675044, 284923190, 291927711, 430781729, 243504987, 749340462, 268538712, 420806351, 847976396, 62389737, 13672985, 601001723, 88060977, 734996415, 347306916, 118904696, 790094754, 431513257, 218456743, 522540165, 370646839, 852338092, 601777523, 718282997, 258891978, 960456767, 41205091, 355330645, 240558598, 433043513, 729060906, 349618514, 126036246, 785509471, 1025011097, 748573052, 650022285, 345236089, 968792650, 759481355, 508505603, 226452155, 526491507, 833879555, 304533188, 622423988, 418535825, 175617842, 375888807, 644051583, 843239424, 911131311, 870294533, 629674845, 801621676, 353028384, 677446846, 926420811, 177038709, 220823041, 592726146, 15102578, 878003365, 377297089, 819545788, 738220843, 349100008, 474032099, 749485897, 131335290, 171411195, 710981021, 1038897535, 274703157, 483362895, 207674414, 958381258, 959386229, 949925795, 308594406, 493213952, 348157448, 443346226, 283119694, 276701908, 794615810, 632188228, 945901591, 859138872, 841491373, 489585363, 44744830, 1027007767, 356950515, 354302680, 368071478, 236342535, 527367180, 433657257, 788266869, 31646170, 35798052, 738561870, 332403388, 390671701, 178511965, 803417546, 395679032, 864821284, 932181714, 499844728, 190167668, 527483637, 471777618, 168309379, 341410029, 783561653, 326317072, 285254229, 800165507, 736031876, 432063744, 206202008, 636601261, 554109335, 534200200, 656500650, 566088491, 237410450, 71239155, 825748742, 41950916, 10932673, 100615179, 752925156, 895905741, 856875794, 435722231, 456448260, 478822063, 1061139812, 903046859, 812573982, 22566577, 56082642, 1061222442, 795002278, 379815768, 409772137, 974245707, 312074919, 51505319, 797957363, 788931933, 544528607, 855182704, 844212806, 933225734, 357104007, 431715102, 295562835, 156390921, 937095741, 927937937, 867031889, 937934788, 78005958, 956237398, 645179707, 534873719, 731214940, 276910428, 870754012, 867784339, 112192441, 964647771, 487088157, 295850241, 710050625, 557604099, 2283248, 307824122, 1000820821, 727657863, 949667778, 286740764, 997029156, 566389728, 844915096, 456468272, 295745050, 220781195, 113353058, 691933275, 1073337387, 374751134, 575632741, 591238911, 1072527449, 609131779, 751139426, 162487682, 41847860, 280244781, 1025340559, 972301018, 254867834, 1042600692, 565745328, 1007734452, 984582492, 1056317801, 907854101, 2195741, 678372710, 1069239642, 86025580, 430659171, 89902732, 699972958, 334890810, 975202856, 490116181, 288169089, 730431549, 272850674, 532663538, 986487713, 76386501, 354479009, 935112583, 466744496, 860485597, 740541149, 133714252, 67465038, 79909224, 57405252, 489145454, 739507216, 161168709, 306276954, 500539805, 502782909, 752855960, 88306607, 692393977, 270689955, 785434351, 44481633, 617240164, 37321892, 892073760, 622308824, 391524836, 388973353, 402531867, 790611991, 740435319, 949866135, 1017361596, 480402896, 537149622, 706139014, 223018522, 392256794, 1059494109, 160224118, 1015408364, 172724716, 993933545, 875156825, 907172868, 292613888, 30373482, 768926245, 702131519, 899765875, 478607116, 891104597, 961870440, 440945032, 119998350, 563040986, 184031651, 692055955, 867299198, 505939840, 306223134, 857206613, 589712653, 191091618, 793554677, 367859831, 991509756, 869314327, 158024632, 142346746, 346025808, 247665146, 736254109, 816577407, 750564437, 383957813, 201215852, 702279556, 412137483, 227598923, 989753285, 176957049, 299859493, 8442546, 119846542, 158437161, 410916979, 142615990, 632029986, 335153799, 886656424, 615060377, 300411515, 797431814, 875146738, 53920544, 497058600, 605074456, 1027955327, 367971190, 526958589, 406997106, 53250202, 186299494, 79563036, 666866979, 1038908051, 752950681, 898483953, 604489886, 577005149, 749433996, 538515063, 714937741, 314654858, 1030298659, 835785260, 102833343, 799301015, 227160094, 886918259, 433752828, 534627119, 516155986, 467886230, 572201073, 967499356, 714920706, 926977211, 427454195, 229962734, 947699055, 43514649, 989899583, 1063910101, 261333780, 135001920, 669793138, 55351446, 953202316, 795469361, 41981494, 114781492, 584576155, 44899214, 891371971, 419948472, 973804364, 372726753, 904464252, 634953245, 750838344, 174482832, 619969704, 17018478, 15524916, 344357975, 657311995, 836332231, 441847530, 204233282, 365131920, 696967321, 321882515, 410826276, 370906329, 634112734, 430284598, 759441499, 1002894743, 921474550, 932390401, 628137105, 488286528, 57295006, 883081960, 850017453, 453203214, 700276996, 344553314, 1014780384, 48123956, 919851230, 559795076, 114823779, 107826110, 956524094, 879346630, 560051118, 376143214, 180185022, 75886860, 998463391, 382962030, 607772565, 431479179, 67906114, 899350895, 938443209, 383327665, 943971076, 160923703, 620563083, 159667593, 665262234, 334206435, 871870118, 530789093, 684971113, 1021664370, 4187370, 662442357, 251018335, 537290704, 1055740867, 479029329, 497152105, 638705198, 218578509, 358441603, 696112362, 552864140, 514036732, 190345720, 183389840, 332012626, 869279528, 229819782, 305448870, 407641084, 886746580, 41461241, 648484046, 806520278, 618655437, 1043148339, 475135530, 72758467, 815461865, 364652469, 585496334, 316394773, 679101805, 606039541, 970746135, 972726799, 917873898, 736023442, 95267090, 899732440, 457766966, 352575001, 830150035, 952818220, 259727116, 328512951, 770396719, 351191483, 1010011394, 832358283, 322993618, 736246092, 370663400, 467594328, 599400902, 131157347, 569020519, 1011365427, 735480889, 909472878, 852649598, 654085216, 137927147, 512221653, 226556851, 878511181, 707412495, 643327556, 916375455, 741533991, 316011257, 473200718, 60346971, 373172053, 296456897, 628656381, 652050883, 122374417, 285790114, 769678093, 1007546131, 265377860, 515538746, 374240625, 61700079, 347377308, 136777073, 27377574, 367622074, 546437650, 728681493, 133888973, 879589253, 2344718, 1071894991, 353464834, 586423483, 863181431, 900105698, 339951851, 731048711, 121566867, 824976899, 480571433, 968980459, 5907202, 67912715, 714585018, 985182015, 492737562, 434167294, 1009119969, 442346873, 912819062, 5092056, 633535932, 498556337, 714914510, 323536630, 222580161, 891279017, 294189531, 397498113, 791090261, 330760470, 332310883, 696618023, 325900669, 592913694, 798435515, 118319454, 5069145, 976863833, 675244866, 280612430, 381376847, 995467178, 979731589, 567121102, 720448586, 159389409, 684325818, 549831925, 540421126, 574748343, 183264757, 571470133, 312834932, 610808823, 1010503112, 532313984, 592246041, 966826903, 512191835, 492425903, 206230501, 902921820, 144996238, 105403356, 330675061, 1038701484, 219460883, 1069501701, 159198410, 220964277, 532522723, 340105441, 628819169, 738607217, 220383391, 672710330, 386965980, 593660980, 245230782, 872509524, 1025630437, 212702647, 1063979163, 689480823, 1002590481, 144073899, 930532146, 647797773, 613467572, 180868478, 387162921, 150330672, 72809606, 195273754, 852253622, 578442865, 351253723, 76670588, 477755926, 863043878, 639820247, 212677862, 283518183, 430149894, 123076303, 646417956, 1034392503, 161165719, 769298919, 471043471, 1045700468, 154597882, 52216889, 688153738, 647414516, 2658154, 975747630, 533034943, 634053833, 1032818313, 138232468, 518622938, 43839303, 268391248, 61060558, 49148652, 678771355, 134854772, 959428907, 338180455, 589163623, 1029032587, 914613711, 475231389, 361304020, 358593688, 260039219, 694856869, 104751315, 812719822, 421278710, 710750745, 304386930, 1015440317, 182056274, 140490806, 675003018, 129476584, 881330825, 1039456206, 307772684, 463451317, 49104851, 168436968, 2974009, 289633921, 246387702, 590507875, 592385949, 204921422, 689668497, 258796503, 363489605, 315725854, 985543223, 977324545, 692065319, 923295791, 1007517602, 843133720, 324102189, 682470830, 710007109, 1068783332, 580373256, 216945111, 592265374, 1039063878, 425766733, 745260012, 773052178, 979455288, 746399023, 70176585, 586130545, 679630359, 1051693151, 632144694, 212417316, 849014267, 882817659, 237855019, 241895693, 891795782, 426607933, 674112091, 450485202, 699378333, 193968378, 953064977, 323320774, 384333596, 645647090, 606811113, 1022254654, 855787885, 767567785, 601531266, 404545184, 582465650, 664952745, 472647015, 972716107, 395019452, 859480897, 673654481, 770054605, 413560497, 1056797463, 458115376, 388240613, 766666853, 1062580100, 776097133, 939195596, 265236855, 718370867, 256164110, 694268247, 23774760, 246810056, 270782803, 328439721, 206026654, 342372152, 817343726, 258092531, 674138793, 799870997, 717679990, 727196506, 531089714, 637255698, 131308806, 1053520712, 882648797, 604985847, 196678740, 726828337, 891467399, 882687761, 612227336, 818189633, 466062321, 431950119, 451260634, 803644333, 137768720, 473897886, 1063551726, 50369973, 413197116, 933027264, 447912274, 609386627, 498366911, 897460499, 987231907, 447336617, 952416439, 752007661, 1058072005, 359010864, 519868215, 991146293, 141511583, 92191387, 37446208, 164892088, 975538754, 824957593, 969939904, 709150850, 685746734, 277944643, 935626805, 740311321, 767429165, 671665850, 824290928, 314898204, 90346338, 293480531, 767472570, 739146030, 891502193, 896129054, 363948634, 707895885, 572582459, 786893296, 744352452, 403742305, 328093909, 1071703801, 589112860, 163105791, 847241881, 929503606, 431400000, 254013897, 222163212, 1036242389, 545597996, 1071132249, 26500339, 885908943, 295661934, 921008943, 202917627, 636224187, 673398930, 705248889, 527001786, 349098587, 1036647624, 745565834, 945357473, 257436468, 847629447, 595137846, 504850338, 1043830578, 396394474, 311963351, 340102326, 434042687, 454328838, 358813413, 390096008, 1037241950, 714673274, 1027418391, 374473934, 351261364, 344319172, 619406455, 1071746902, 531937369, 646123435, 234261300, 466998053, 840508807, 587114745, 236423036, 500253615, 680640513, 1060317095, 553347312, 152058679, 227141608, 877196928, 83747031, 739193343, 101677547, 927423741, 654330310, 846905509, 677163721, 303397197, 418014618, 713192139, 212613921, 688756985, 352952017, 519898907, 473437279, 234875214, 970296560, 455721591, 171831320, 613048878, 1028861022, 646589635, 263058648, 345940927, 218886729, 9840619, 803814276, 217924042, 626053357, 14025579, 121217207, 439392692, 667629540, 296180276, 328485642, 579524820, 127207198, 951342461, 400846985, 251600065, 729668478, 535840394, 913418479, 980655289, 520525302, 718260965, 502196888, 871316460, 614499837, 744467580, 915269771, 367146384, 189074673, 290405305, 854318348, 502990348, 622911465, 24465356, 397961080, 417499149, 200647268, 835944307, 326971488, 666847424, 480847101, 506038118, 561258340, 412881495, 1030376785, 991899142, 559036226, 82858497, 361534861, 120224610, 268691168, 786343545, 880340755, 1038871559, 231119074, 225210397, 1054476979, 224926565, 384157319, 801667645, 16753251, 183108031, 656539396, 665071511, 936576208, 781712886, 690374996, 277218581, 289049138, 470509934, 260948731, 429540077, 149299047, 1000472677, 232504766, 728282596, 314703814, 280006965, 504409681, 51216840, 636060834, 894980898, 127537045, 231971925, 339726863, 999803879, 846408519, 683105764, 1048814224, 27272329, 223089294, 486039128, 589377507, 225595945, 840206922, 906433117, 221311563, 320106248, 1055657702, 650919682, 716918437, 542155942, 408991381, 984991495, 120068065, 796490673, 298981419, 528167982, 116601419, 194956048, 511934017, 141827625, 246686899, 25430644, 247819634, 124599387, 130368842, 625083354, 965317546, 408405365, 673962585, 433391439, 911907513, 558588139, 1017639914, 67171732, 214597509, 588417318, 794662171, 127634498, 297636125, 165405924, 301671245, 774152368, 1040593072, 673725983, 993467663, 33709637, 459024715, 907728640, 30121449, 1027249794, 233338262, 916844336, 233812929, 862675389, 30473149, 262459671, 332610903, 477784989, 1056424515, 450906012, 865395928, 813687676, 43053325, 432958209, 207017165, 667516110, 517108605, 468445374, 1024512250, 809681684, 875619385, 12097133, 427908873, 930887696, 993881273, 26451767, 91575071, 832144214, 123720956, 147136622, 619123427, 994352199, 409649008, 970014971, 305749477, 288209526, 256958474, 981507624, 893255045, 335147079, 741914209, 160445105, 560025858, 991877291, 418679648, 401487345, 558239646, 498775269, 59499513, 997400645, 608314842, 705004605, 688372134, 566418929, 994435900, 535564198, 868676346, 568978578, 407779562, 642334436, 53354102, 1065326468, 1012186370, 416542512, 420211926, 1017679397, 783928618, 93237090, 506295282, 524464756, 533107675, 1009747216, 423387638, 856101861, 254013355, 511968589, 279142651, 185197138, 719104331, 810893519, 779235293, 331582727, 1065015861, 94895156, 1073273812, 1005947848, 909012275, 493333685, 377877271, 37774641, 342944380, 944884159, 317944266, 800706853, 530010838, 300078853, 754859999, 557713644, 697984787, 976740341, 282935629, 956263452, 1060636964, 502923517, 26968290, 818992313, 148854638, 682820970, 663819143, 944402030, 125252770, 929679639, 987661972, 70569543, 690129331, 1048051806, 643181196, 319603802, 217887148, 415251950, 482472544, 360546077, 247172889, 172832964, 823442439, 476132124, 167947984, 877338193, 599962173, 307813319, 164445737, 169314799, 464392185, 1058214863, 195681202, 233723892, 277436205, 90560856, 678727696, 659694439, 311386891, 376648952, 635992695, 352032884, 685210447, 349026851, 1068856492, 825164472, 1020929541, 872779043, 844530392, 574327752, 49108097, 124890858, 446176400, 778301104, 113748895, 346366209, 373887230, 913145033, 416605743, 969648741, 615822401, 1028422377, 590043117, 846934586, 118389442, 327928549, 622048628, 1004258728, 2175517, 525792302, 993788020, 198658310, 839106630, 1036132799, 894762531, 29152587, 1024981336, 808212189, 552497499, 632516766, 562196334, 1050798737, 1037829955, 892674497, 337378669, 757048394, 698722932, 412694574, 573962862, 22825404, 109726042, 866643700, 176898512, 966054694, 925540245, 950345839, 476579599, 763412853, 523265018, 383106125, 373675999, 1061127946, 1028725750, 1063400042, 1055627053, 298732229, 409130196, 201891948, 623373377, 1044849254, 615870904, 1036053219, 1016128802, 650163958, 176335337, 821228601, 121448405, 102191350, 495703755, 803934691, 833361617, 724028497, 200615662, 304575543, 666111753, 282172162, 279145396, 924269293, 928741330, 282472918, 1067401100, 90673277, 525390756, 409659111, 834893116, 700929853, 1054575145, 43235379, 664968277, 846476969, 1030001670, 306483085, 1069841702, 308749411, 197317662, 398113130, 560954421, 338284066, 370782213, 1064730517, 485346084, 588723972, 189787923, 11394084, 869794951, 1047681818, 1023952181, 673910715, 676368347, 893781391, 9337062, 724997575, 264966626, 361470391, 546999020, 791149795, 451590612, 1009152041, 712046982, 537273957, 486654163, 989747983, 106111944, 15383699, 815789375, 862195849, 357438355, 519684852, 571417833, 310248655, 91909191, 658832809, 74321312, 941105730, 233001514, 459608206, 250598267, 993948660, 403595089, 622893687, 1210338, 848756253, 795056735, 450465537, 231874933, 1072333235, 25594820, 33994998, 489997295, 16926327, 867153319, 225916206, 531398632, 92272250, 501626906, 580273595, 857106713, 774267112, 917260020, 814742555, 463577836, 858702411, 8198816, 1021072307, 695387083, 619766797, 871366214, 692994554, 1004029975, 77959578, 11739382, 591503235, 132918512, 1069816403, 1071923585, 318078310, 961507795, 296779975, 141855206, 271574699, 601732248, 124848711, 139466750, 844254243, 435225426, 820656060, 372448869, 246741474, 154885265, 100036522, 324899071, 15028711, 519579387, 4563765, 560807098, 208592159, 530472836, 711339703, 748713265, 937220099, 879612636, 1020689904, 572184405, 278066181, 979818561, 704061857, 445188089, 180906529, 686991282, 411605447, 731616505, 141308035, 991315730, 844695329, 165789459, 129376628, 959461457, 299189921, 244164983, 652422000, 130778353, 474010971, 948959287, 808751342, 544411009, 361860560, 827207496, 232351927, 450934823, 420387362, 672288384, 292504340, 971904332, 108525968, 922891339, 999455117, 766432737, 193915155, 920929432, 617524354, 144712339, 621370557, 724451190, 466852886, 86483277, 287664855, 618825303, 196153152, 340660341, 764798760, 471027097, 36297266, 653026893, 237641431, 748801316, 161839970, 512412457, 699103972, 931592861, 32381296, 1004858595, 1021496472, 595009552, 952534761, 1029777875, 371477712, 876417104, 861211924, 898886039, 900936543, 259390252, 727923459, 128148250, 270128012, 8983518, 638337852, 496601472, 640353010, 1023878403, 752118011, 411130904, 884199563, 270818950, 1039649060, 563400028, 521288136, 159731531, 190175621, 795104434, 814337044, 1015713377, 294684472, 175115926, 884063907, 160477250, 18243266, 197923471, 183208912, 378837, 628180332, 769969723, 1020255247, 364507624, 1006539935, 711275820, 962561298, 119705402, 435852499, 208212526, 108648990, 130650556, 214844727, 106665934, 510285349, 1041439510, 368957661, 263279035, 1002809833, 787896910, 724427075, 815265653, 57389972, 508902935, 660460309, 787684841, 500730355, 216713395, 1002111468, 599085340, 1066290267, 958453783, 201826936, 141240464, 950371827, 302608173, 186446653, 701835558, 491668066, 201698355, 775105752, 451988635, 336441692, 657266848, 1023930980, 316678361, 200641525, 123143501, 6894724, 725224519, 509997091, 45293265, 763639668, 227868812, 868797135, 468334375, 8387209, 645552396, 278561174, 293650534, 989709385, 837422820, 557867424, 791063117, 1038412350, 900746233, 836134408, 567701760, 290753967, 873208620, 912405141, 920785236, 821496617, 380165368, 45636512, 417484822, 1007266952, 277845694, 268131303, 988236030, 864989349, 335958383, 141874690, 992812530, 665090532, 307202542, 425648464, 298015388, 137127512, 194249382, 527078941, 687664636, 692924070, 894452784, 159655607, 795360195, 223580131, 632473519, 267169708, 798346217, 1039778858, 74495627, 951987014, 125951942, 23258632, 870039797, 543553821, 370689737, 421562819, 57337946, 73946301, 709576132, 1067910039, 639131306, 874294370, 122372200, 661990038, 365802418, 10197249, 1067938920, 1000725261, 382625339, 1024493827, 698410012, 260007618, 187553894, 271095471, 837530, 191197547, 508883230, 298050704, 715221794, 208570237, 1034899935, 338893871, 933843870, 459582747, 662721091, 691897696, 1027202666, 547507039, 559422397, 960069523, 723229069, 297448254, 502848506, 229953837, 611107197, 56973964, 796369544, 401912308, 137843911, 124364566, 670371642, 316981724, 53882936, 583384593, 383916320, 871584448, 729207880, 294021219, 883030991, 114352843, 348740739, 586293257, 416884451, 517055920, 731847214, 86738138, 675104098, 617958125, 747859690, 826700424, 204655962, 84786598, 796760741, 1031061160, 892265497, 1070727051, 125771909, 442762179, 836321232, 77632695, 906763831, 463828798, 583589131, 833949461, 370392010, 313832152, 665891908, 446851888, 789767957, 189797141, 465340305, 417109324, 109216273, 693206185, 200364100, 845759314, 738733240, 241784746, 807056847, 997246375, 964266213, 377956450, 400618184, 451699749, 348376987, 250593702, 943439858, 19764060, 279086205, 1030460030, 916619172, 750473081, 686309954, 555963479, 28619880, 389196634, 141952116, 777769040, 298909187, 305577560, 830016085, 168352627, 695295706, 503771836, 178767080, 82159924, 261481979, 1060241351, 768793452, 942912241, 677771482, 205593266, 674457068, 769721877, 289684712, 422818032, 693535578, 712184279, 191965758, 527198280, 68118675, 605456181, 732097714, 956598998, 529170201, 482158305, 281282326, 447334857, 643335476, 150509676, 649236062, 865654171, 1040195651, 153122284, 206037924, 542505670, 361247259, 254123631, 35879628, 159928032, 318990370, 236138296, 142077897, 400802056, 939639358, 756971028, 590579992, 95995671, 873033807, 207138886, 670665299, 501680401, 398114164, 984494527, 453798067, 750659284, 329886556, 478830671, 334307140, 693107431, 758503442, 435460098, 689056030, 57600561, 249663713, 896158146, 337063784, 937821591, 404860589, 795507039, 175158921, 251096151, 199596822, 190645756, 103425491, 731259316, 86989809, 1017971683, 394554425, 338752142, 551580606, 49455672, 943024541, 125308089, 776929559, 951507471, 200685455, 38080120, 60415072, 969730492, 681972893, 676609751, 777359332, 963088623, 820910392, 172255208, 199941560, 1032507813, 900438371, 132671744, 408608242, 201198706, 730433071, 68283956, 424468555, 82093785, 952554723, 15088314, 537536703, 669320969, 222150318, 738443942, 858969864, 405942956, 713924363, 882193497, 464077216, 315616899, 714774839, 658165132, 480387224, 298546064, 1038008346, 443924377, 605008040, 765679404, 387991593, 189448359, 67446346, 876269653, 660593378, 865434156, 886406578, 647982212, 739602865, 838311804, 466878438, 502970369, 991741182, 580553906, 982843998, 723267015, 1062414014, 340179739, 882714457, 287070234, 739207522, 388070136, 679539646, 616896158, 577313405, 1014238330, 905161133, 253804020, 421779904, 424901888, 669673966, 158156502, 725529304, 857587671, 44895507, 198787323, 480328696, 845908623, 795792853, 869654661, 263411218, 226100210, 367975041, 951972730, 173399619, 674558030, 541791223, 766820576, 85846273, 416102079, 413851224, 703672409, 419368653, 9874111, 783147950, 295918528, 957651443, 25992237, 384062796, 549116556, 161683902, 929560221, 872695144, 150777059, 228335470, 381113057, 610611310, 341951289, 777415614, 28703710, 871058396, 118423772, 418202584, 335908062, 786493356, 75224559, 714228952, 386883201, 60348771, 442596480, 482105206, 17456988, 927889342, 906864183, 351210748, 961374244, 25113227, 93235033, 719034732, 202682033, 2079415, 110635376, 48714307, 694383462, 37092168, 409763726, 48455918, 713919217, 181887580, 1056945890, 9333364, 114242150, 630781107, 182290107, 135237168, 111910078, 550861845, 42259105, 52924936, 65070566, 291350609, 128814867, 603376130, 500515234, 22042259, 742854105, 1045167903, 1014215805, 487343594, 501588312, 116819339, 890329312, 864678315, 83627600, 582660073, 585922484, 1017549131, 803587085, 118885079, 677862214, 748376020, 976051351, 304213673, 305068974, 656121843, 659506177, 484530754, 580463304, 4637677, 410602547, 462940456, 101955722, 690989557, 144130392, 850228911, 279239396, 937317106, 844358036, 783772354, 511904042, 977476433, 378779347, 42043575, 1008358527, 752892991, 351038673, 947277524, 352243455, 693254132, 83320590, 727419146, 168872340, 637809077, 307506728, 381469580, 964002451, 93160712, 426543965, 851293867, 76659083, 996565317, 277692920, 235966817, 542108064, 331243079, 508319608, 189960900, 947586888, 402712052, 335886348, 103418930, 806809092, 817034897, 911943778, 631717091, 546176356, 1021194211, 1038962577, 363571856, 800851762, 99476261, 274698083, 520264247, 261964450, 846973715, 650929118, 157001390, 807854771, 434799193, 675586691, 380791790, 902876803, 844190287, 14715410, 156297870, 281133427, 528188137, 1034682717, 784546098, 469021833, 465720868, 568580795, 646302442, 997876019, 540169460, 352823633, 554867179, 1033783862, 802299631, 939612786, 381031228, 411425312, 283535795, 797870666, 952473733, 206292971, 620105173, 665322413, 23636195, 150907532, 549087961, 574648632, 288530434, 502735942, 60566053, 897958930, 241325859, 364244099, 753091438, 959645901, 463913891, 61503774, 95332213, 14138132, 117633757, 835233545, 719332118, 875839788, 385015935, 195549091, 12082574, 707653531, 169383133, 1045288412, 397515019, 807209031, 890917069, 338642128, 215021835, 74467000, 209020371, 984338169, 750418073, 346949434, 675856403, 64350046, 806121672, 376501586, 283271658, 819097752, 216030414, 292901184, 595683988, 277920628, 388786927, 215912064, 37442490, 577953543, 213300206, 341181277, 124066275, 1031188279, 794933386, 941744506, 389515826, 594829235, 711661800, 671898765, 685792775, 341648697, 97263008, 103794520, 306769809, 981226440, 165478189, 714648064, 2162806, 827674328, 829461623, 782418161, 400925829, 780694942, 79212323, 58163481, 260400625, 327776247, 972718032, 202622675, 719511580, 108144727, 486222270, 272629577, 580975358, 889955144, 78207305, 931057012, 700889440, 586238119, 619177733, 366404810, 480322194, 39392960, 1011951158, 83677373, 120654354, 933979303, 278245558, 173757930, 492750982, 392419366, 530333377, 119103912, 288498921, 342299367, 749301373, 54114195, 159204906, 103591793, 397214712, 340243974, 358406247, 552624409, 111086134, 974055978, 577082885, 222720926, 739841668, 573014772, 11740928, 777330692, 436050111, 1050933537, 665192854, 744763937, 362444860, 930770058, 95726927, 992810990, 376304526, 289528394, 68607899, 30231807, 756020506, 302048205, 737014473, 122270564, 30102316, 524625324, 877485209, 1012534379, 753580332, 484305101, 196426265, 836300063, 694525763, 562149937, 313209398, 54092581, 406364040, 948352498, 577926244, 155097799, 415364442, 157676244, 979766511, 106081462, 658800885, 976153273, 859125206, 939865820, 764805754, 559711381, 310935210, 801441704, 917866780, 659585409, 1007433466, 52112600, 102641292, 123217163, 971828217, 166640187, 594990794, 489369199, 1038891248, 927729711, 694733613, 414409078, 931315150, 107179076, 368569407, 242488138, 140171788, 960869073, 925137297, 440946238, 344593813, 1059358301, 671870015, 590333588, 726973806, 166860098, 528423322, 160044477, 862778195, 513988156, 383803325, 861802978, 14759999, 124729503, 685581742, 470774242, 30113213, 374815740, 440487327, 878802069, 738299329, 432276649, 65420915, 307593734, 482856636, 783330054, 320763046, 758021486, 736417900, 173290548, 967037418, 301518888, 653546724, 334066937, 80510675, 618554589, 1020568493, 504518867, 697497176, 377817536, 340302845, 74376198, 477197810, 578643060, 542462023, 976686893, 953920787, 308656046, 939381655, 47585018, 286578603, 738726648, 1065607914, 1027290911, 569660513, 498328703, 1064091263, 173768407, 1023233602, 567207087, 160405425, 287937652, 850525571, 620264660, 566668201, 172920159, 847002369, 52620739, 163573596, 984519237, 1064756681, 320128313, 1068498736, 225796545, 631087115, 990597983, 1028438596, 600346286, 86432257, 859132863, 950727950, 259141596, 54631935, 455349562, 104625102, 245766669, 115333108, 213921035, 156806110, 213962179, 222879172, 991171908, 431026759, 326598288, 459379003, 271634526, 341407958, 439275799, 295627830, 914753263, 31938427, 189319006, 989688606, 163328652, 564798011, 839197815, 317281928, 448942000, 951917477, 265910793, 87361454, 180615764, 171552753, 295687800, 972256200, 942245640, 360375412, 192016307, 107102626, 548894908, 814967032, 730149463, 518251774, 43305249, 131784734, 654344480, 671355609, 798222294, 556992490, 170023004, 665692702, 920743914, 791629084, 1068714273, 183073182, 207645247, 425818711, 589753150, 1055518924, 684600197, 884533690, 99305472, 458488170, 354577137, 464321419, 123211656, 124981308, 774750775, 335319046, 100486822, 825098197, 925761575, 638597608, 204588749, 432947016, 667570499, 290235184, 159389852, 1050786400, 8984935, 25633985, 222302369, 521634039, 273377397, 958337109, 734662589, 540918630, 1069075657, 875004944, 75746359, 840529474, 96925421, 945103578, 1033623734, 247805160, 582902933, 59277185, 353073883, 203416859, 398036257, 1050891974, 898530028, 514801411, 873293389, 782898418, 262855876, 196200124, 900930847, 1014864774, 1008843834, 862699856, 560476514, 130349019, 139691309, 186140794, 501791727, 213799544, 627455884, 794509563, 559080890, 890926726, 105592796, 799143511, 773667988, 805778346, 481583621, 42642512, 908559473, 268566696, 141741211, 766330026, 452248899, 149285935, 800687247, 872837962, 1064312391, 57793868, 736788110, 149172324, 934566223, 373061326, 121366415, 809557455, 36613658, 416353462, 300786892, 840352899, 897536316, 574148058, 931203470, 113144100, 559284144, 682887430, 683751355, 326108277, 313571230, 575725004, 578211721, 788036584, 831443890, 791535299, 986859726, 415991960, 395754045, 196649279, 303321504, 258895696, 159000145, 176114382, 11863959, 588054807, 232160949, 823049728, 86281500, 1004805943, 578830434, 690537865, 131698680, 958780256, 788698124, 322511540, 978957439, 924472764, 725344475, 342184920, 125035724, 477335868, 261309625, 27142071, 465789378, 308809207, 374621289, 987480295, 721415100, 509289114, 773255100, 65175762, 867077294, 329482075, 213404703, 454269093, 760177693, 38532313, 838712781, 617741524, 603733532, 654512048, 443489247, 339181603, 896310434, 555651207, 235898138, 63837710, 835894833, 558741488, 678630071, 89162775, 144711666, 447452473, 131561542, 653854324, 164224967, 167416370, 495776638, 898475939, 990871128, 998782663, 789996674, 645346193, 298491115, 291576161, 576522355, 299423249, 740541310, 673341447, 956107223, 937419274, 173099605, 122634314, 1067655301, 586243108, 944904970, 859586012, 729787103, 99607753, 261098190, 949203479, 40720043, 951737408, 1013669930, 34271253, 19729509, 483344707, 673946149, 31704938, 1066058578, 35831895, 899466573, 977270998, 416389159, 962424859, 951009118, 475705437, 952740767, 679374684, 249515953, 155135319, 811627315, 594923942, 497753441, 1035744721, 618161493, 673850522, 359161710, 233985708, 862186486, 496349006, 1013062654, 672299871, 1008466427, 880115190, 635061464, 854969239, 182497462, 166614391, 400815845, 826344872, 166190524, 445329358, 562066928, 1020510078, 314031361, 823086387, 32794632, 369455200, 360236747, 244550625, 554671219, 476985023, 170347048, 1029459896, 1070569526, 299049349, 478416565, 994293413, 281835420, 859560136, 464225914, 568048233, 987124255, 164292473, 633127126, 1053392674, 629887651, 31833283, 289905744, 370048272, 604844362, 135273421, 476470309, 516337415, 156083527, 856832624, 299147155, 1052896560, 866761998, 485500408, 794487459, 976302001, 491517052, 266031221, 33969154, 831632105, 45199622, 820677804, 439532890, 240544338, 732425610, 604310168, 634783210, 656974058, 241349260, 819533331, 7714492, 938189240, 696159307, 902162983, 938573790, 944649589, 626923293, 976473129, 562909539, 968194085, 9411692, 937591660, 349144367, 598631442, 957381364, 1022014308, 150120753, 97457398, 835394416, 429950812, 483950341, 1036802710, 483238227, 739565262, 262310303, 368066643, 349373105, 266341227, 205632566, 583604917, 782835405, 457729198, 64794767, 737007930, 577972872, 1049487884, 198947325, 131527078, 892882865, 690904716, 842685214, 889293484, 510547720, 976343106, 556358756, 780250624, 968518379, 1011022886, 387692510, 108465457, 608363077, 858170734, 234872087, 553541657, 675998316, 607518465, 706031528, 690337000, 166100442, 77492768, 950434672, 858363674, 814214796, 147458019, 208969693, 872023109, 487885406, 899996557, 1031769811, 867555677, 342837316, 742838163, 640115043, 407708941, 115790453, 854223179, 748670249, 694451136, 911286840, 449176998, 393174545, 865001067, 228006031, 288636504, 191506450, 256908449, 926480141, 111963228, 878537599, 341106782, 278209995, 172030436, 46208904, 397664096, 641024625, 459845406, 906859582, 645625575, 399660993, 957582803, 364143899, 180258652, 364143601, 922111734, 784180209, 741363109, 355710886, 208377332, 668290802, 864406598, 380760248, 685036025, 795052411, 916084170, 390203304, 321379930, 91889569, 837062325, 901834325, 516751862, 545673576, 205741335, 112245413, 89779674, 555034812, 623032567, 5615163, 74984461, 137870662, 780612154, 20299980, 789203714, 500136393, 966571241, 19704742, 514434014, 325747198, 960105911, 577202588, 577586335, 362777486, 138966977, 513971893, 444765168, 251379928, 1049792136, 989526861, 228813775, 525666436, 521051572, 98694013, 903969820, 349151941, 678489602, 258015740, 15766711, 267669215, 526441835, 480428845, 551364051, 914503059, 1050147415, 189889387, 787600243, 799919080, 904333697, 694592064, 219005216, 532379088, 307605835, 210267670, 616976251, 537441514, 773077834, 706302841, 655137848, 290522694, 760699926, 550450473, 976109349, 507562358, 631615769, 452964655, 73735581, 257374536, 538680513, 93920410, 180220610, 597875409, 530235290, 454675742, 298315529, 609735769, 765776051, 1026729525, 314801265, 679354313, 119111399, 357703096, 1044329691, 53449929, 1045799514, 477856195, 98726822, 645245913, 105254330, 333069667, 802350864, 946564473, 544003590, 190144734, 422365829, 736986064, 561983568, 471475925, 656580525, 727821974, 518659652, 411724098, 1072914086, 373318757, 179507571, 765023160, 1024435043, 389441205, 496777307, 862491056, 30050908, 868681778, 722108208, 423201934, 330318395, 540838887, 312032819, 784824519, 267405686, 90329477, 92985475, 720551385, 681554996, 13664005, 516587426, 87524111, 657550163, 547984147, 596765143, 264774108, 595993670, 376244385, 412566908, 870990061, 881964350, 685129538, 884830367, 290961040, 747602526, 506438429, 796763326, 276477925, 634207555, 968030785, 961293866, 78819526, 632405198, 55642320, 39206228, 492436101, 800057819, 537396853, 117162466, 410868386, 110738060, 961587221, 1012563261, 853089862, 414802893, 875172473, 429969104, 10144306, 180825392, 200387390, 559253723, 746602862, 53293011, 335624576, 28738164, 1015850563, 940722532, 74860669, 111719148, 294895499, 682192146, 654834494, 472227233, 74735327, 830751008, 897117882, 1037961124, 778925724, 43077166, 672263073, 472399991, 409836637, 783554760, 131323026, 72734036, 126353189, 699149055, 422334284, 172353751, 688497428, 105578116, 380174786, 894548926, 559322903, 127438020, 845480692, 484572965, 214198132, 340004856, 2723836, 618468751, 645188800, 964401694, 60826640, 950825464, 900327305, 314880117, 396539268, 737647960, 49098839, 38025744, 824482519, 247330253, 577706502, 975727095, 674425548, 414997666, 285381025, 555559891, 352081494, 21603586, 1015072176, 940100853, 398082073, 85391154, 888910308, 662791189, 154747312, 217248284, 931932480, 56677869, 31429188, 287117022, 917248387, 902977180, 1053211889, 447254519, 297734401, 391404296, 478301996, 523267469, 799915621, 1011325982, 22479522, 554464517, 475171502, 1067144398, 693951505, 981209268, 22576986, 495151824, 785605303, 482831184, 606843432, 710176299, 1053561649, 677841562, 55879203, 17798236, 580247963, 937243490, 1030543062, 401353564, 766030203, 316528626, 370501789, 141937244, 100214677, 51141462, 886211474, 922445470, 394229940, 824300324, 825192602, 72468316, 63028561, 934776021, 679891838, 321840090, 814382674, 386212059, 266157245, 902905012, 13855029, 670431250, 544283160, 361789654, 298384337, 573198770, 631988504, 838012978, 890845696, 591287322, 667155600, 835129119, 796018153, 885189138, 728089251, 772671923, 945317196, 568900092, 859441019, 896669176, 353173083, 345355959, 997119883, 705686640, 562514006, 871618679, 359580463, 1059656725, 485773545, 50749567, 91402825, 29546848, 494174468, 668956775, 850028865, 429592813, 725646154, 524247022, 84357150, 391844617, 18951445, 804286870, 557373342, 427237322, 754588200, 198983208, 531698712, 413175870, 854112472, 919518185, 382017192, 836593713, 711167133, 319989626, 776990905, 609675083, 907096429, 707033737, 484978066, 21463139, 981352104, 677729526, 869138344, 901019032, 373404630, 715429931, 820317607, 571281745, 168419976, 910552797, 692710528, 427987727, 754552085, 646666122, 975739297, 1016052291, 166365499, 543726754, 787849403, 886610476, 48719093, 880668366, 213998555, 866077714, 538263655, 653783610, 405315446, 982808179, 1073274231, 275707351, 467960919, 568525138, 897966839, 95820399, 927671639, 785045573, 760084336, 76287513, 645695361, 256690134, 903546602, 899453417, 277936471, 741921376, 861747548, 388726321, 957605662, 303300504, 803211751, 659002233, 267118530, 585914092, 472518731, 174530691, 273407313, 425069973, 645547673, 257696755, 634745827, 965173634, 548483688, 454147672, 762899608, 470255099, 890982877, 355058543, 765541609, 753125544, 840264272, 971626702, 772150423, 593424262, 404544852, 839500517, 447176717, 231423402, 689273877, 345816293, 115566690, 179363028, 266046589, 400009728, 742670151, 715504045, 342878884, 87971706, 81640495, 808012973, 1044039579, 776140108, 257980980, 536429516, 730606511, 618480629, 365852754, 579278991, 818754179, 303126022, 128603241, 812067695, 511707206, 892404636, 703662759, 401539900, 807181444, 911503679, 218604342, 77066052, 563130277, 24929868, 1062915204, 679077679, 716369636, 77564182, 536275655, 963572039, 333229616, 43857313, 630351117, 908314451, 209762826, 387415617, 552260663, 578865041, 530556762, 1046376328, 880685277, 445985669, 279627749, 402581491, 1048900117, 545911266, 8039167, 789939946, 343288545, 702717251, 226064660, 193058063, 260982029, 774086696, 411358187, 848498992, 19971465, 387590801, 219935192, 791932295, 314755304, 14847898, 82318959, 621598297, 212484540, 28062226, 59519654, 325755152, 887834981, 265747013, 98797827, 681260211, 149962638, 242694009, 316185632, 816867846, 523855017, 913880487, 426951770, 508071565, 860410160, 369227267, 611856852, 556331894, 772985954, 219462542, 506671532, 1072450441, 37621722, 993873138, 666899206, 1010006139, 1065790512, 623663044, 677356841, 761583681, 551225557, 686378031, 144885661, 678626540, 309452270, 845311103, 683381135, 564100688, 778128815, 404151174, 52418247, 446779712, 633160431, 837325161, 351428950, 815390561, 467915063, 376377919, 539997932, 824864844, 846850758, 386801349, 806590162, 193141283, 528551310, 402414901, 124239543, 817540155, 155249839, 954787314, 426880714, 446890720, 361543719, 938056404, 863942969, 746650644, 860591519, 74395755, 493352264, 97270292, 193536846, 5197864, 728624274, 954952885, 797954509, 177545645, 107182082, 206030384, 402162115, 842083690, 147435798, 626140847, 338580658, 958844080, 516129628, 262390684, 1070844771, 568244832, 1055663215, 780148, 389889763, 898007857, 700657156, 521408125, 8533741, 455755055, 480626224, 860250563, 455213529, 648917501, 888595517, 655538955, 223178029, 578654805, 543632201, 552718974, 762031675, 796189153, 655638540, 714292525, 502578039, 236001623, 313939103, 37090640, 265360275, 369272266, 258569090, 879000425, 357192487, 122576749, 83258601, 332675331, 411483647, 831666839, 454567215, 645697914, 407611382, 870558466, 998481294, 127266606, 553939729, 494542239, 963278252, 911646149, 972550882, 402551704, 424114864, 245910017, 616330888, 169171411, 815801704, 566689849, 772071703, 317607383, 356818884, 397095001, 20051121, 775354985, 243506925, 112480250, 792116174, 391232473, 57103285, 214740265, 3051154, 969306490, 19954899, 1034890738, 628845908, 695880370, 247244079, 275304885, 681189522, 595019501, 694554607, 756467403, 787786956, 64544062, 293922905, 890395303, 782116721, 267915387, 595327984, 879900370, 125545691, 375479697, 983664452, 1011509644, 503821899, 456743167, 414832355, 6983237, 534347254, 476001435, 984962417, 116143181, 417474061, 621475014, 402131274, 375976303, 841760774, 331189109, 368855207, 1034483162, 357151030, 735306905, 873323444, 437431890, 937531951, 646018936, 1070280948, 602256728, 644439658, 101473349, 481015695, 380486677, 429191724, 808315111, 515850262, 522020243, 541361087, 243443540, 885429405, 255709627, 96004834, 44438661, 404335268, 530283229, 530663804, 457018549, 865645981, 151358314, 751086852, 667810275, 142866295, 467882148, 387162955, 232304094, 983600885, 13047605, 441540734, 615848779, 659047936, 283272770, 1049209680, 195870826, 899401271, 614596962, 849907758, 579897586, 994493695, 748143751, 1056676061, 51263390, 180386172, 76175773, 605439519, 711799041, 461741160, 640828479, 103162958, 349436522, 898302369, 890769540, 374660667, 421801131, 658465285, 318245324, 769945460, 338209851, 418460685, 127840717, 809289921, 706080532, 56218863, 621052334, 920108940, 10300323, 843185563, 539792616, 232915300, 493971432, 984557043, 224620080, 44802643, 297317875, 734259023, 529873428, 669256996, 886406990, 703710030, 660302860, 259677922, 399335209, 875918990, 315915650, 125316253, 801581967, 514336474, 491013244, 656349471, 57487063, 340358667, 285894146, 667917275, 573670984, 145328756, 151181023, 1031362325, 1049337780, 479396779, 551049075, 601019378, 903199436, 840783625, 644550926, 125614941, 435656137, 836942764, 496819756, 1008924951, 150216076, 549219933, 829968757, 727070813, 690769109, 1056699143, 176929440, 711943431, 97567205, 754305198, 540405309, 567132933, 492983653, 464027069, 795513097, 297517050, 371125529, 555269563, 69344957, 5716898, 17710298, 69216312, 640770215, 903855370, 998719352, 409409055, 816285813, 732599575, 127705181, 189085832, 385313079, 509858094, 109416565, 418985665, 1048023851, 265992274, 695691651, 538586400, 543075362, 663996545, 989825079, 310239537, 796873376, 302285304, 110734028, 892743585, 287822305, 727486900, 476233736, 910049388, 558500124, 58500334, 388510302, 722329480, 601780357, 700884826, 844037365, 167467663, 311442839, 1053541224, 177107926, 20426138, 276992740, 897659342, 705131054, 378150749, 201823892, 130740302, 856336387, 364192197, 391553444, 458194101, 837223843, 957632073, 989257922, 804743142, 136142014, 1028090230, 460838431, 857298638, 277018296, 89725430, 212115464, 756247863, 1026051588, 501293804, 449456245, 432832258, 545361811, 382027329, 814133088, 465549069, 609246681, 965253396, 1047667372, 946524849, 231001257, 153996536, 405134822, 526308030, 329037134, 983000564, 999612445, 79353881, 770484090, 700593099, 869841547, 63277706, 300797652, 333832398, 1022648738, 386488151, 1060700340, 357100841, 831261463, 722369504, 979040403, 1054901350, 940334217, 16492093, 916231939, 916809760, 664664481, 993339171, 466993435, 734157084, 729780649, 589042980, 73181176, 280456714, 303327989, 169614863, 133624869, 934521590, 951181966, 156630518, 412272817, 268891091, 68853592, 937424850, 1063723249, 565495532, 341137472, 441365652, 252454211, 398823557, 57795451, 29931145, 295300099, 696921436, 852161081, 325622890, 21260862, 1037169587, 811011548, 644085370, 164239114, 143946268, 274960933, 53134733, 134374208, 1030092432, 939092802, 762885709, 883322530, 222660806, 418337848, 539086909, 655318736, 877428899, 804495131, 440441927, 741280736, 769493539, 319749466, 999158646, 120803439, 16300845, 974002852, 39199866, 207025424, 537897157, 403106701, 606302392, 719340873, 679330046, 517400790, 402471129, 351276432, 836088462, 827805016, 833695010, 693695003, 695440646, 601486452, 806877995, 622238749, 690486255, 54139166, 670282527, 78421961, 262257002, 778343288, 100748539, 88126362, 26068276, 997139491, 432317566, 533556861, 364104416, 288905792, 950647570, 626294391, 6546160, 338476969, 353690339, 1003552184, 732734478, 360803299, 283473477, 749758137, 22587384, 878907760, 819725957, 591947844, 339088560, 256720520, 401640237, 987429373, 341579221, 499963596, 957519736, 421355818, 1026781907, 799144434, 541892726, 789879114, 977846061, 34624613, 302837338, 7156762, 246988023, 669671753, 405781266, 671003751, 306815062, 137993276, 211422238, 796185837, 743624903, 741734921, 1030329741, 514678291, 376823994, 595945574, 969633975, 169189090, 984068232, 1009662908, 805194965, 607198821, 538961838, 11000611, 771424886, 307948299, 554134241, 363476716, 427742162, 629654708, 890455287, 263471712, 356134147, 513376178, 654255223, 719303695, 729666788, 625494272, 1041184491, 208496068, 668328518, 986594480, 533605481, 838621756, 788536011, 413587572, 212565756, 495553979, 555372480, 354216046, 875367142, 230203243, 481441288, 785005051, 1036664766, 699810450, 899700061, 1533250, 713051140, 844753178, 118211668, 683207568, 901594353, 484713539, 495720404, 283088068, 1071060779, 251514442, 79093643, 925001630, 221294630, 972475235, 621828474, 830796069, 442260883, 1067448203, 118819707, 242762466, 793651962, 692189608, 619033508, 16760731, 845908951, 196966741, 298090342, 832867195, 518540523, 134873357, 125475240, 988601764, 364600597, 72469546, 725949111, 398329650, 521630313, 635198290, 704727250, 72881864, 809717658, 161778833, 440077871, 667293204, 174773046, 1024876006, 452637563, 992443374, 457509733, 1039401294, 821641115, 221851469, 426562816, 439250047, 260826479, 658957091, 648817406, 658357160, 631149802, 52094856, 546100131, 832753207, 927913070, 979376780, 398364799, 322053895, 88158703, 397963611, 945596671, 124292619, 546063286, 129885080, 457084232, 673835318, 688877059, 441778078, 829117598, 201310314, 157941520, 708671518, 421459032, 619810310, 289263389, 913604709, 53196991, 414396117, 246085294, 347292776, 787954184, 443470242, 779133056, 771886418, 1043073543, 778456852, 884506157, 615739173, 123522250, 494122268, 846901329, 720817021, 932822956, 914905723, 750043542, 227056803, 673747881, 654730616, 163350297, 898928670, 507050611, 872105536, 519197155, 543281346, 109939231, 958888660, 1061191495, 668186410, 752147143, 101361477, 682530628, 159640014, 754875254, 303230588, 315884621, 317377206, 714783577, 320332420, 541316325, 412055251, 416981714, 521232583, 290094108, 39505001, 1047940794, 784590719, 932030138, 635859601, 720368453, 440798660, 907673525, 781841347, 686479761, 7675455, 38444321, 391899030, 123911016, 721690222, 219384613, 830344599, 367216056, 369345073, 352582441, 1072907721, 827703718, 420745196, 513820660, 390641745, 1060631323, 319339090, 185317846, 127435527, 205315200, 544737247, 507778545, 346782756, 736755565, 177246662, 943850401, 640461846, 624354249, 734672040, 194305, 480797713, 817568303, 488489833, 529568785, 927262103, 1007914349, 557113172, 252525924, 127855383, 673499033, 722357221, 791712116, 460164443, 255257153, 609772676, 873400246, 690707332, 1040186506, 647327240, 817383317, 46312062, 868636442, 190108556, 1001207390, 358680419, 902757052, 368192751, 998953430, 434921025, 779037548, 277667593, 517605626, 316825272, 182250412, 731648457, 564880350, 676220443, 285009165, 867408513, 775317122, 804086429, 658622864, 603871898, 991265147, 251136901, 49634263, 946299325, 105761385, 873383256, 910490151, 1044490060, 550713620, 581357397, 632011194, 684973922, 432454079, 493663260, 397969907, 1058164117, 658220259, 549180226, 729173403, 183673793, 199167022, 1069459150, 140150623, 757665900, 462714477, 46242085, 965358833, 613295320, 936559417, 40915277, 736276642, 1059813561, 290385821, 611748879, 465773457, 840814484, 51730584, 495797192, 307844469, 22413753, 454005250, 671355492, 498423113, 798462467, 473525791, 461855843, 764605907, 101435352, 865555061, 545135729, 32867169, 219792979, 477670717, 1067237302, 437196110, 401109877, 1014004792, 653502993, 663874632, 948251088, 49938811, 1011586679, 997379320, 1021722324, 864750035, 688310980, 680873486, 53180595, 418183228, 1058111172, 328331622, 483766970, 734734217, 200581139, 35421954, 444119345, 752357534, 153001111, 934526573, 43880484, 981927891, 130544117, 624546480, 982378841, 995300362, 688486165, 474722377, 112287434, 96258261, 671986396, 475708733, 100188730, 944424663, 205056995, 1064792311, 573291905, 175761024, 630208422, 841568350, 696053563, 814469786, 1007141863, 747286695, 654753794, 404326317, 909510811, 57272467, 1022339400, 891528189, 750519439, 141712860, 681441408, 145321860, 688857954, 172548437, 1026368743, 276429363, 21456261, 1022424892, 125535526, 437384802, 532895606, 609710362, 712061710, 22697371, 97110444, 590686153, 106350421, 15413417, 1050492140, 168796321, 497952480, 273562101, 429778048, 852864154, 713437446, 137897537, 282069269, 149746264, 76565520, 223252808, 658393955, 345232315, 310719309, 6579174, 480393037, 156992322, 647271816, 872093744, 23450987, 782431210, 648342729, 695270864, 793897292, 497285077, 825959355, 897590649, 233026501, 110136581, 159529907, 688341665, 172604036, 722107015, 727549782, 544070704, 90692392, 778990806, 360496844, 803497722, 974930315, 908292673, 230374614, 1043526400, 767407643, 809363768, 168252792, 640887271, 884355446, 296286394, 992573064, 540909450, 965729285, 111058801, 368508962, 819818554, 28712482, 195148510, 1071528992, 260969012, 1024767423, 609969286, 495011548, 868975538, 806742926, 298614567, 541460375, 312826718, 733091281, 407364207, 452634108, 660051211, 811019096, 209296197, 184997353, 1067500590, 159589720, 924189369, 983046071, 613662224, 936196955, 557623395, 42182743, 961051106, 699357713, 947523899, 178225908, 1057318471, 342115679, 355981044, 14886507, 837800927, 667974772, 23202489, 981518056, 650455234, 1026296538, 180307879, 832033020, 333769105, 611473585, 113104759, 124609643, 803133816, 756399570, 213125027, 774738811, 780610514, 692399004, 80901101, 639872441, 134954105, 614488171, 502390980, 699543095, 32999828, 10606412, 461016454, 361995916, 216000541, 261040913, 707876966, 498791354, 268798656, 1070823372, 839548428, 408207257, 458422738, 959476797, 892372792, 907661757, 771558047, 627508537, 646516124, 46195729, 490056170, 944026762, 1056617923, 782420618, 654383393, 708388656, 733164447, 168230236, 46789680, 485756821, 1013939552, 1033961811, 218791539, 136093287, 555406869, 406926389, 1015932588, 682818628, 630330149, 119419738, 59350880, 709505987, 362335158, 349262526, 696681853, 689772981, 211036638, 286644553, 555079499, 963785129, 652089941, 961990744, 451421701, 173101592, 368550127, 98500509, 619729862, 128576175, 538693190, 441435830, 817276897, 900067678, 14578463, 695160026, 185187152, 595361004, 518059793, 807806293, 501382478, 1035894549, 373266557, 783366133, 647233589, 998518088, 173166096, 130721253, 727681745, 474394176, 226621736, 261940306, 576287779, 452175418, 666335903, 267164702, 95207893, 732712638, 973879867, 1044872640, 393868420, 771410136, 964174229, 938859316, 795719109, 284451066, 1012149365, 928313588, 909080102, 496982405, 893294718, 162102170, 737899114, 1034596338, 173439625, 1006743526, 732031109, 624326146, 137057303, 988997351, 714294221, 1020435237, 756173616, 8491334, 78289718, 98974488, 473175100, 371933613, 925908624, 53837992, 981327469, 270484040, 569482746, 847372589, 318308715, 1006394370, 1043287095, 52237312, 1062430525, 597988345, 947189610, 237481409, 614718695, 171879216, 645214464, 672244503, 530546551, 412479969, 779224860, 530734143, 732811113, 641142938, 733235910, 636057200, 906716216, 4797408, 420928681, 628119633, 60417454, 245953533, 611160334, 820256365, 84947807, 388876704, 317748187, 545955869, 650587893, 225840215, 428452874, 207619639, 627175972, 129494807, 205946756, 161791511, 679197959, 957414234, 436856116, 900681233, 1054813519, 276839497, 989457468, 716730253, 1009283461, 1009602822, 621013072, 646138133, 16801203, 9819207, 638743131, 998369495, 991094393, 828932355, 873665872, 992716799, 831295101, 1033688999, 888524261, 1064087832, 828509131, 636008392, 347343463, 406181, 1068223716, 757623437, 743132920, 698536598, 799960007, 158809294, 701550260, 678090569, 220249917, 1027546237, 671372574, 2684215, 961853108, 798308878, 640212580, 671721551, 965019986, 887125822, 641486882, 497668874, 838747450, 210235804, 697273810, 805145099, 389783454, 61468334, 39734882, 292651727, 377025047, 178182541, 33755185, 960476954, 788900020, 940844974, 498145687, 844244264, 489096380, 89806706, 324649946, 365972917, 39801657, 633990422, 560003646, 253808096, 575393669, 5644481, 847811424, 112880623, 712491869, 216436975, 211129164, 984202309, 343150525, 1039099536, 386602807, 194694303, 241851384, 822063866, 490664589, 554684613, 272548441, 306109151, 940588350, 12733899, 926482244, 779180306, 455471875, 30284489, 731567629, 420107921, 155267878, 375005160, 690694081, 623253326, 877256608, 60751128, 167273732, 686453892, 551922329, 778730521, 419669708, 1055702944, 781561891, 180369783, 369154606, 104174021, 164670866, 840560770, 439538185, 889296706, 70318960, 324483109, 49363591, 694008042, 409571219, 235543270, 696428636, 495274989, 750226751, 1064032781, 959181314, 999083107, 855137183, 959648099, 870863026, 323255083, 347271921, 435648501, 91512939, 701043309, 395685819, 1008232379, 801909683, 712717407, 762247100, 777707102, 407699315, 259273917, 541415809, 71828016, 434962311, 735829717, 571731597, 854897301, 1054715813, 518579606, 746785796, 987929722, 347197135, 873178968, 9629528, 382014044, 265325185, 281988803, 985394315, 932092458, 599252858, 693822000, 181264838, 816899512, 950832598, 243668103, 520420993, 279773223, 755280035, 314229455, 320396629, 599869097, 600173988, 1008332832, 151308525, 120105983, 162160014, 791496307, 672459750, 403427159, 909383795, 236352434, 953798641, 470812865, 261869968, 678220259, 10351343, 820175522, 486722077, 986016182, 680775595, 1038463118, 328123754, 462670623, 218350131, 1067514293, 631088265, 23398067, 209113516, 980356215, 1015988510, 448055401, 84200688, 436466266, 131406341, 192103459, 91829624, 18038738, 382164723, 767088542, 817782500, 691204306, 870511429, 229881218, 875630331, 87621839, 800221070, 1000046976, 32696407, 855566415, 907699151, 384682686, 721867772, 149217180, 1008029330, 360798660, 418321101, 855214324, 1062141730, 231713037, 492504034, 544605343, 516650686, 150363005, 1000316710, 587269742, 524745706, 1064697295, 433802090, 130181627, 320605397, 686011479, 367259648, 257101848, 905419475, 150554379, 987597376, 598679755, 1023035326, 288886276, 963475220, 83289523, 117668740, 631820908, 635731466, 452534477, 1007475756, 306675977, 74079383, 919076389, 675276295, 291296468, 1031379133, 879753818, 373436468, 1005174420, 104997530, 897355688, 462940893, 1015503609, 450788746, 677393594, 223008539, 519759288, 370702086, 412120913, 296298647, 58242546, 127393260, 1012674643, 62394781, 162893526, 610997424, 441400382, 505142383, 861192787, 707136858, 939689855, 459061598, 568404270, 420216480, 900801185, 437703332, 846255303, 67585959, 1073295515, 1040481651, 399386499, 742469270, 552559860, 924238690, 574173853, 256963921, 39252872, 958686743, 853847336, 999538656, 960816796, 847413925, 69755684, 368798341, 236843206, 165450126, 1006849039, 559167508, 466917594, 1030093781, 292259111, 722228082, 1027393217, 12218622, 470824585, 363686159, 242526735, 807460778, 5152189, 121423714, 681977230, 431675814, 647245401, 421820205, 624327049, 985202204, 916942014, 526296005, 452776734, 1035261700, 250418288, 217292451, 682895770, 953016497, 552099924, 19913956, 412535926, 622084984, 715740127, 796631485, 481654519, 798742062, 235693528, 480733452, 511132761, 338850588, 23132345, 870849908, 850379021, 1057039060, 654958503, 486461473, 555763922, 564690098, 328982633, 422250934, 984728645, 97535285, 99220066, 139324706, 1043895066, 427806279, 877806957, 1026884325, 452620662, 891874772, 471391987, 917250555, 933643126, 634237172, 530476286, 931282942, 244677183, 403278887, 1029658910, 84433442, 349691098, 633032113, 647635761, 1035756112, 657242871, 1043542035, 644030523, 196543452, 501314138, 957802636, 814834550, 881516182, 340602321, 389791179, 458610748, 762951827, 198004928, 355064331, 294282822, 763885505, 1067383829, 590005216, 8756077, 170949946, 587441975, 805533677, 183155576, 388675463, 473916831, 631391446, 191565814, 226778343, 1037194154, 768412067, 586889423, 758052248, 658409037, 661339895, 1061311176, 705811856, 10412067, 648871306, 376749423, 700822992, 284805923, 421938804, 454037197, 333395967, 322687599, 622959287, 118412154, 229546003, 324752171, 312959305, 539344672, 842590590, 273794514, 1029228387, 993300192, 167387567, 613340560, 858265221, 451776094, 772698682, 869228840, 915929866, 189083870, 464342688, 915292350, 416073972, 825438690, 215917201, 166134035, 607972335, 147674066, 427846134, 530876107, 111727661, 1053009548, 253164482, 881772704, 654899443, 506211151, 282832702, 832724791, 806003646, 392296196, 93343976, 611106855, 242793537, 869723574, 896515571, 862017911, 803058263, 959654930, 606792032, 366793279, 948740722, 147655926, 1034374437, 624586992, 185090708, 169425695, 97607877, 816241402, 463419194, 747974125, 655092287, 278853108, 920039751, 612513696, 326033932, 424645846, 209480132, 313911645, 747316697, 1005179998, 714678698, 21620519, 818600184, 1054753799, 337313871, 695704534, 264864002, 35631411, 525925120, 802062517, 654383665, 495754445, 879965284, 883039119, 71759137, 751105372, 815570073, 379924165, 1042843807, 618868169, 282110983, 800267597, 8202171, 438112684, 530042045, 244218464, 756826414, 10796155, 270404965, 376132439, 565833731, 964385857, 422507021, 189078751, 150340579, 908484014, 431981905, 570708283, 678422171, 427675471, 561570344, 430129518, 401630488, 930160569, 439723532, 740120355, 930514968, 230924112, 698186496, 1003844200, 516400379, 1016430889, 855651041, 36824680, 390242940, 171866378, 310988940, 199438748, 286459983, 373150743, 406642941, 924531044, 123932807, 994309640, 982968927, 289585965, 483496825, 1010516478, 956825509, 218664856, 451316219, 811485719, 353223022, 32024434, 259755346, 694060329, 601044826, 419127930, 948686171, 395281474, 819367006, 901800163, 1039342705, 831986927, 108061262, 1025063683, 304843425, 52897647, 123436128, 616632167, 923475941, 367908803, 868944168, 615964714, 251656587, 26704784, 940348599, 859274911, 331446049, 8381257, 948511600, 678457162, 505732761, 34146811, 481537171, 631675455, 658698108, 588653650, 323027675, 819084452, 843679338, 37163089, 456277741, 1010379948, 475452609, 62300147, 769221183, 690235012, 164923946, 260556851, 908762777, 277896098, 43254995, 337077184, 189088892, 327363252, 1065460892, 781428891, 82840911, 307363009, 378978841, 748423862, 685111751, 937460028, 156474812, 227331481, 832832483, 792045178, 113071276, 154651610, 951892252, 824093211, 905602609, 642640369, 115981215, 445387138, 728717648, 797157169, 569436405, 149663574, 741526841, 714523284, 108948420, 835137802, 920044640, 107360477, 94590309, 730768711, 67866377, 269692363, 72205144, 653327993, 189386157, 639436458, 101895084, 652139337, 326450983, 845698511, 313332360, 220620120, 207501734, 371953746, 113687268, 311188984, 710747245, 713983694, 1010733659, 1006336673, 995895654, 1002185599, 1002845597, 918989945, 550928869, 834313505, 623927414, 94778102, 983239670, 327690270, 782950022, 201248421, 869795723, 893597394, 357678475, 691848534, 835738626, 109143995, 146494726, 216124140, 15846782, 186285670, 284538457, 759873505, 588010186, 119613081, 244146794, 604841739, 389335554, 210144624, 684781945, 752571152, 207704310, 262190132, 1038243928, 485210800, 823844783, 874952055, 517845298, 506098395, 953895705, 382618712, 780987420, 47881592, 943928776, 115992534, 1005386299, 260269352, 974260176, 565001067, 753978919, 1047098753, 37008898, 393279028, 242880821, 763421063, 868058332, 171332008, 541699383, 986574407, 1042120430, 934196370, 5553739, 81623290, 232047811, 421707431, 970086934, 574900664, 100098804, 657595231, 602262330, 793551087, 440364581, 316440469, 158100431, 410397957, 715825006, 627282216, 156663096, 530161177, 557422927, 1034088551, 562434630, 665204402, 326371924, 668556734, 952702726, 733930274, 518255986, 644274754, 363928813, 319370825, 431031537, 267245589, 740569322, 448023533, 215718075, 980322931, 953395419, 133764184, 887087988, 1012511345, 366240659, 178626850, 853041427, 141886582, 799439175, 94480300, 20186464, 170058311, 13989368, 413156217, 808618527, 796685757, 819787411, 100988691, 716002277, 878714253, 977980624, 1025274924, 1060688022, 904063686, 567786988, 926776059, 556298598, 175458410, 76849849, 905770433, 239987441, 471202121, 868803909, 908681117, 132144974, 285715777, 1025120988, 832089518, 910862774, 66964750, 816311445, 673312256, 440129201, 404384903, 648024271, 830197927, 504740476, 648399831, 371546737, 996868331, 226240919, 601458443, 245647685, 713041302, 200242525, 254305376, 654090505, 479946823, 376643314, 143380813, 482052053, 33459520, 19689035, 457851642, 319952397, 648428909, 851754976, 933649949, 602471604, 348746694, 738499152, 331054785, 432342898, 311546619, 952827271, 186497815, 319452411, 963559046, 250167724, 440111898, 605549248, 103244477, 918273551, 101914668, 928842279, 173513227, 396618591, 537148700, 172701765, 593551145, 371598800, 27020557, 731440226, 485385021, 490163592, 280337427, 882431213, 868650320, 354051113, 692043956, 81830424, 30073172, 517598086, 76003106, 27612356, 706932870, 546710555, 115831015, 1016352627, 714097796, 541917847, 122663379, 730861321, 523823578, 823049696, 712583804, 135017121, 868867767, 13788454, 47085940, 91282624, 768452014, 447562364, 928691799, 308763017, 385654536, 389305362, 114081516, 1026039736, 725204995, 665152830, 168002736, 111225405, 605605561, 408560384, 89016220, 565640772, 31172159, 216777376, 1069040314, 613326146, 423952036, 846563079, 622799496, 634529215, 59324782, 417364462, 385619468, 295207598, 780034166, 458786211, 585077304, 762468668, 217628083, 476517337, 857990936, 469589483, 235737183, 364944237, 71066845, 239094063, 209454868, 80377823, 51192193, 865353616, 370562258, 469407685, 928064755, 879185737, 290523750, 759568740, 503200492, 36162858, 54077347, 699986521, 304470273, 76748306, 81778905, 1026931104, 716978502, 747325678, 14232386, 693121978, 451917155, 871401027, 587344178, 201059597, 504657956, 221701719, 197857638, 800804390, 1004009930, 1024568036, 369207764, 620519971, 704213018, 757194891, 114229234, 959175357, 627120142, 790773108, 1052141090, 688773547, 61293375, 582700474, 727433578, 412167191, 70444862, 764562681, 523774432, 1041019533, 751771929, 516171302, 309073613, 981675780, 291543969, 240725704, 89155225, 787470284, 736526507, 435066253, 59003591, 925176898, 398299547, 824481376, 390387243, 704955278, 957587167, 669025006, 110407908, 571280576, 128723986, 629310074, 848738340, 936745765, 792090783, 1051026233, 335244772, 588153988, 91524052, 136071633, 469049397, 996731119, 3176049, 896787071, 478071615, 1020463537, 920817506, 960682645, 917301963, 529013815, 497307878, 1066175297, 77335429, 886534762, 629266757, 929265595, 501890548, 946822385, 20480668, 738165537, 1035805111, 291824949, 889796434, 391294042, 785996930, 800347016, 668366326, 275415672, 5968217, 138792885, 201921005, 401184265, 142182795, 787132501, 632709185, 702630975, 741387030, 185881215, 362529435, 107409370, 273553800, 713011761, 109610935, 708049508, 879143521, 425481293, 1005702606, 258750985, 438835498, 6222195, 502605362, 105210031, 654485472, 71579406, 367795980, 579513083, 516302688, 240049249, 100062278, 916448839, 188850127, 429761794, 628679667, 511062632, 547450246, 363304921, 1023077933, 942606581, 80825327, 1002561709, 557487497, 347633936, 1043366835, 841185211, 518747334, 310830300, 947022334, 177392262, 387695663, 345665932, 550170527, 361938585, 836828728, 515518237, 1040491375, 799607475, 208454251, 217132114, 622119229, 949926082, 978187202, 373319215, 339667270, 840351384, 698367325, 981280495, 773369927, 721412472, 434527239, 994605647, 349900794, 503977065, 674356195, 346148202, 365056283, 872798395, 720721983, 605580049, 550534220, 52547464, 952941846, 380283940, 1059244482, 173922994, 937589906, 1053470331, 490311790, 909700610, 951961564, 976569896, 224505362, 1065719294, 511877660, 298759254, 576362111, 6398180, 462283247, 522778778, 713124290, 125031506, 390293126, 465663308, 569431493, 1004396765, 924685372, 930930344, 1073501756, 428921262, 658704963, 212342697, 858549079, 118539419, 892355263, 241708840, 129683886, 734355173, 1008673699, 696100080, 439232504, 721190124, 922131602, 309062610, 973685323, 384643787, 791216728, 874653428, 509370019, 177498417, 586322073, 707781780, 237145355, 926838180, 79929729, 205268540, 749731698, 624301506, 1041668844, 36549989, 466939845, 217132463, 759165476, 701538548, 913989356, 714120863, 452696621, 184153595, 644832563, 481209490, 688013669, 168973333, 140124437, 458593510, 51405782, 1029504782, 623252193, 237943966, 549922717, 727639542, 620724495, 195621688, 399194029, 147255392, 612541581, 578142935, 448615003, 143767552, 368054393, 132176659, 386233658, 684637976, 1029487753, 1018556367, 628334570, 1006252388, 633488732, 14251757, 998152790, 210928265, 348340774, 889904551, 888571364, 910080719, 684213937, 487890944, 300018737, 558165786, 128869448, 802519573, 1007789922, 85427936, 262694554, 943518415, 714955903, 202720538, 211216807, 203588454, 384834412, 483731863, 542601749, 980045767, 233393338, 1045516631, 647054921, 535307287, 710428372, 1016877128, 305036523, 387819808, 147012822, 1059833328, 533706752, 961341688, 855189614, 523632545, 714296095, 440460800, 593365593, 755297666, 911504683, 1072508004, 94825535, 470820035, 398891897, 398430435, 311785871, 483014624, 322619605, 394922916, 63348298, 735565097, 390796695, 563634677, 715247395, 227882378, 61294026, 267953752, 119926016, 115377262, 603255518, 311770221, 423566341, 503882533, 709105784, 49433683, 386337377, 447920777, 571068517, 726647123, 163336759, 419498797, 426984648, 522514998, 772597252, 437780545, 846052733, 429746380, 127024541, 1049218033, 107257481, 302440741, 641615098, 443709349, 33635848, 330494637, 808143676, 84682196, 116557389, 195451394, 439649163, 205338968, 85788305, 828701113, 793749206, 583134631, 428396257, 228723235, 345971272, 514959102, 450701831, 301124391, 130719270, 144720922, 712649786, 548355445, 756028743, 652669061, 882179652, 757638521, 318686434, 325277979, 263229863, 413870875, 406461852, 451813288, 146038519, 1031609441, 134385615, 276582166, 1027919657, 719937522, 831188545, 133574227, 144941481, 147556085, 1020153586, 713590581, 11491425, 546221513, 952969079, 244308769, 154567578, 985943769, 402596305, 875756456, 663864720, 722876584, 402081362, 244800216, 381910949, 1001419734, 910633696, 181388560, 947259569, 925739937, 65380658, 976218077, 148115727, 1032184066, 185723215, 1040693318, 897066000, 511578607, 222012619, 191932396, 782479838, 449937677, 312239925, 14750245, 557914958, 272523431, 912186141, 735823368, 551960768, 117588964, 137169656, 457352735, 766972944, 899034858, 131990386, 11068081, 615011165, 186059582, 106895940, 765067710, 889490798, 33500527, 797434875, 612680266, 472348162, 599265411, 560918860, 454485873, 408307886, 733304386, 220054387, 549928934, 35558532, 106261539, 478723275, 77663607, 299750898, 188293039, 848848755, 46019294, 195790679, 54336459, 459942302, 941528597, 961359999, 699228530, 680311719, 798582703, 202293670, 552681889, 27189795, 891600914, 364464205, 127182809, 233032963, 931192947, 462557772, 48358109, 603605929, 15758545, 1053935510, 83973140, 753773836, 1064095533, 356657727, 657997514, 946590596, 920004638, 59494718, 904731696, 729482536, 191458009, 618248273, 606195141, 604692856, 367449793, 650981688, 325065576, 392595941, 447309883, 802697730, 709495990, 241086049, 709303453, 6389065, 1033784979, 314829287, 354803677, 549605369, 816277203, 7046356, 172262122, 582148401, 133719034, 275292005, 114719780, 262452854, 199430999, 811348115, 854545726, 723846065, 71027100, 670600063, 980855704, 723761422, 215475530, 312011839, 443522189, 318632741, 749720183, 1024069413, 925706474, 1025248027, 1042610099, 208349568, 58412166, 137367358, 622465427, 589032412, 699246252, 996795820, 983996202, 505435993, 105818856, 822341794, 774045627, 230913165, 48180084, 466027360, 133337278, 659158535, 955741059, 1011785759, 389614719, 99765248, 1010135391, 611050819, 279873359, 647682692, 839325431, 379374504, 1039976418, 423541931, 555144711, 932394177, 628469682, 490595045, 29507463, 992826635, 545068863, 81881753, 653480196, 122365322, 808039161, 165322653, 304084513, 513848062, 955167893, 919743575, 371583324, 74112040, 581778920, 156377382, 277621605, 294407116, 682284136, 550988279, 722043343, 138944624, 72049336, 1053870691, 964379335, 464474500, 700474855, 767207898, 451406203, 863198568, 397260593, 989744101, 223468895, 452803909, 825779698, 602349836, 623724615, 193850993, 408584679, 1046594674, 91354592, 894558022, 158161711, 489801088, 176407538, 440042245, 853681414, 746529345, 603993702, 405128822, 869811237, 774954639, 533178008, 1011887076, 284629656, 218111095, 194074917, 381814756, 759023130, 215826975, 855398720, 444981031, 684085391, 368546942, 580510167, 771895385, 124373496, 186143377, 530355561, 690778852, 541509539, 760461271, 532288954, 940140945, 596905075, 601097772, 191569634, 124113281, 497957320, 615986246, 399121091, 829848706, 600307592, 836893211, 50503266, 48804824, 272624543, 885266803, 527356285, 234741713, 1010929624, 911865432, 52062352, 1001732507, 879396282, 334928523, 337323007, 938197054, 806366956, 482446570, 75367035, 152465340, 902668196, 176613386, 218656933, 475170268, 436794859, 530152630, 305635654, 2548956, 309586685, 590252547, 762471787, 213158672, 85249289, 237404933, 443063879, 1021456875, 195562277, 538061016, 611399025, 580176005, 54392240, 567055241, 746039930, 375356270, 245065289, 330864715, 368346738, 209710479, 235163681, 19172316, 757598995, 732337375, 517821285, 150045425, 462079002, 312867764, 160130593, 920728424, 25768903, 758184581, 626733118, 408807117, 894313787, 252094137, 374977328, 206100808, 1023624931, 417196595, 28807363, 311221208, 200690394, 750985897, 611173220, 950206336, 179362647, 70226808, 765096830, 432516560, 422999686, 462066881, 397906213, 763986737, 569820809, 374925571, 289830222, 1065686455, 166097899, 261152673, 501393914, 1057022989, 80361642, 76877967, 285475618, 521244837, 154094654, 809942974, 27450246, 511779542, 120033740, 565533679, 208624654, 905294640, 618986504, 868830568, 1002257732, 833478651, 698633269, 1003380120, 877173480, 682094590, 80177849, 222339480, 1002477972, 411427850, 890467087, 1039195589, 203710183, 548248577, 344325694, 310699077, 378026151, 833625167, 600554335, 688009308, 463553452, 543001541, 958835401, 198560217, 877735405, 271780822, 713665994, 21048468, 589999396, 384679738, 520289560, 939327968, 509884407, 395845629, 320729331, 771328206, 479686880, 531299109, 116344445, 894218624, 33139761, 83002687, 875159351, 1019963991, 47035646, 1017588087, 258798306, 521223669, 708837579, 58592088, 185094567, 302028019, 648479641, 985683865, 355517436, 522121564, 882330510, 860086611, 950641756, 217588537, 278485124, 1061864090, 904317163, 626406480, 393657667, 683708247, 673874877, 478176483, 1004086381, 286770890, 457011515, 155473470, 26153408, 615006597, 1021782526, 51020349, 548561866, 81659214, 122423684, 658533273, 296520168, 7676777, 170820127, 686296513, 698184273, 1042110899, 110112160, 1034218777, 845147986, 114856633, 470300606, 966351729, 756987143, 461915228, 409438825, 259884871, 1001633075, 357822888, 592617519, 421058328, 65422340, 355790427, 962918444, 399896298, 720453711, 185817445, 236445150, 284698310, 56532000, 644993395, 963268035, 921575200, 1054663741, 364109628, 687837644, 1048869406, 144986275, 124476259, 1034128163, 571632316, 426387614, 542396866, 773119332, 204870156, 329746371, 130802286, 9282948, 993016561, 1007073453, 437046025, 261461111, 741366276, 1068515782, 248203354, 232511478, 280370012, 14619669, 905532227, 1065463887, 715118523, 512497694, 463766498, 21216735, 806127231, 692130348, 505419529, 964580560, 277381191, 106963327, 1062935783, 571504110, 999711255, 569532294, 876841504, 369781790, 245194333, 106963935, 1046065864, 238570202, 863655888, 59347599, 881222248, 908641269, 103820961, 38922847, 1069570134, 114891935, 117277107, 482921279, 64577349, 70293087, 142263499, 1046594197, 732862841, 844767270, 621627003, 513469708, 943150666, 901407111, 589567270, 267229595, 88302155, 955823371, 469690093, 1004315634, 833053690, 653818622, 965866867, 663356945, 1066814385, 138296056, 789044570, 702597846, 853968458, 329977402, 394067724, 478238929, 730349751, 206436877, 270505572, 1003810569, 13029267, 840339502, 107173852, 496081825, 132384987, 827548351, 130042065, 555428922, 1000429414, 232208915, 27181869, 302137574, 876981238, 627076693, 753826324, 214830632, 317113434, 784968776, 172239648, 410533331, 1071087680, 780671657, 104394004, 680021198, 736889161, 846803034, 606687057, 678910653, 774073550, 596396972, 703474753, 460964845, 84215785, 650562453, 649031660, 669830830, 626006951, 1020214279, 369201631, 711256595, 29494491, 852372844, 718457988, 226061669, 103070729, 699986837, 729989069, 677237271, 654084115, 166044722, 739114907, 57068219, 853110491, 893671587, 208058744, 947440378, 209616896, 741462671, 624601998, 200020228, 54881095, 350799269, 857360644, 873452907, 550481833, 389246429, 506718823, 153335290, 73046978, 4825618, 143696153, 471921535, 229971217, 52270115, 940391608, 172148644, 930562132, 943367518, 133993892, 327903808, 90787005, 442724511, 255652774, 825892017, 417222485, 187798534, 588661320, 912556969, 893351725, 866736519, 285650617, 901424313, 284087934, 142987179, 886427900, 63545696, 759458751, 1046133884, 651163885, 1059752906, 450910123, 1015225371, 662332635, 923901184, 64510826, 257704301, 977336488, 530737306, 258574947, 433497483, 213110452, 407780797, 746902396, 706432923, 568973969, 558977754, 581353504, 322118784, 598608425, 473090352, 739161557, 152338522, 940001822, 493058826, 826092182, 468578379, 402606502, 67110440, 268582168, 1025364514, 117434532, 633183208, 859039203, 919059604, 219457748, 582792964, 323168761, 542917246, 559484923, 298551566, 335257107, 182329892, 278752259, 674499188, 667671156, 967833131, 273089276, 316905914, 1007870145, 732555666, 571673616, 448180773, 723576484, 888453666, 166896960, 661406538, 475062920, 412945787, 810154674, 183216305, 658684624, 304353174, 345394299, 1066510586, 760600565, 980228961, 564469172, 224471440, 819174685, 898099288, 841090896, 185307559, 545646103, 55758447, 287447298, 585270353, 340839972, 195137710, 414640550, 979586388, 419615981, 1043715044, 506076658, 1006371628, 360900318, 426027108, 454641458, 419112669, 32799924, 274006043, 664833200, 950187378, 190550440, 787393893, 335950449, 214339397, 876092809, 1026001041, 255492776, 455673377, 667942099, 172363978, 509449727, 800221836, 584221107, 227007924, 384927046, 615842158, 970782323, 390517930, 386948301, 330724276, 244826816, 588117989, 268438371, 1011828980, 437093962, 1037574058, 168932223, 318769663, 53167952, 886133749, 54044544, 1051763249, 785776643, 724173150, 634697972, 754765743, 296874131, 503517304, 241680747, 568772923, 799195396, 861148610, 572156850, 1058383112, 756314552, 404543930, 984721619, 175667614, 343366419, 494306055, 265141549, 1004991533, 528608079, 335608, 698326339, 293999178, 856181382, 813224412, 630923212, 129860439, 954160757, 1061371670, 578014452, 828476141, 291685481, 979560536, 888881832, 32295431, 1070236469, 691021827, 250838857, 767943722, 839131683, 383466281, 670156611, 342310109, 29641762, 149516019, 280596288, 310395172, 1021719816, 333722153, 249196475, 969422585, 471627148, 214535741, 407559050, 308795109, 465249890, 890812352, 596981826, 755353024, 446597275, 38035576, 564346464, 693034714, 665846058, 702302204, 701623156, 720543778, 456355757, 67314759, 17561463, 847624974, 669884245, 761535381, 423619681, 272217739, 299779216, 695848636, 14405363, 446379055, 290134774, 233560784, 331248654, 225940606, 492973489, 138032776, 375554425, 713524065, 887360416, 1047110568, 60312959, 921557673, 159023913, 302472813, 418377054, 774753231, 107783551, 427752346, 230798875, 562972279, 224571737, 563309210, 848492982, 46407142, 582160920, 381198507, 1048074215, 34895374, 903650801, 986617162, 562893015, 346397789, 333515282, 128494314, 346994029, 306912323, 1009323147, 808343911, 89485713, 725311947, 599344138, 668045894, 654894863, 881397019, 1015340636, 403244382, 66911532, 940612848, 285505173, 628231711, 858665395, 704895365, 266254918, 494649257, 102697346, 629886824, 191438659, 1071537610, 444423626, 467321022, 496205314, 805777570, 852190733, 360748212, 647662260, 524769106, 834047123, 857405867, 648448009, 188165412, 53898682, 391769269, 833259961, 24092645, 337769629, 500853402, 290279963, 1031606930, 850679101, 380713993, 728200929, 598859427, 375801723, 79560082, 831714819, 741484037, 92776536, 752451013, 381890471, 951493992, 157871740, 941929483, 682286978, 1501099, 829735613, 103425450, 423855946, 1065413555, 191115752, 922433905, 180005072, 83640204, 692369735, 631422562, 152974746, 289708705, 878265617, 773401780, 43185716, 189881569, 795566709, 131435239, 292846081, 14950517, 596739712, 297751561, 561032988, 430841151, 792330812, 203582013, 75321405, 128666756, 557952990, 90697439, 377057087, 354372240, 82175690, 593380917, 343351870, 697318838, 796249600, 176889551, 486006583, 971385734, 628070202, 400212655, 978295637, 613529211, 447475550, 765557200, 509825713, 1028565964, 242175395, 113433425, 467901094, 577437265, 1045190417, 188012388, 977279548, 926393537, 679734802, 320490362, 618560476, 1060962498, 484716180, 80890051, 177372399, 689632913, 914268669, 994750086, 984935546, 1045087359, 501907647, 897762207, 32852022, 421645062, 555912974, 950813177, 175539700, 93438041, 870081168, 670242252, 193101370, 636609540, 417808051, 332598976, 1036492651, 774588571, 341321952, 740450212, 265601421, 501949009, 721847144, 850294297, 180462199, 645595580, 223336305, 543159009, 10616613, 268039621, 791040946, 992800106, 527166246, 138485597, 707392662, 898532942, 125422529, 357856769, 382056651, 650975836, 346229177, 367391117, 327032699, 667948675, 374662594, 631787443, 855066251, 1062731568, 542652899, 314655347, 295029737, 319759597, 363511770, 767022590, 224423759, 792639588, 614954116, 258203788, 1002905781, 1066840586, 689971999, 580621850, 585103213, 769147042, 979885629, 1037695984, 958617882, 443664962, 448177312, 592015790, 743033724, 925811361, 435936778, 123859732, 487760713, 1064795969, 278045742, 317423139, 899553973, 1018352817, 48606556, 699785621, 45771009, 658514801, 917524559, 278310221, 510562639, 116112012, 501883684, 328439777, 685738247, 225514246, 401036466, 867046280, 338401554, 174394357, 356862929, 921107463, 1016427992, 228760825, 848325090, 89655808, 687247608, 426167466, 303860628, 756494523, 537827923, 896012455, 11464617, 895891931, 1024740700, 221555085, 154692654, 28140662, 252037020, 362350055, 1043225107, 536566100, 768120581, 1034622976, 880821931, 461113177, 498918404, 513596997, 931335273, 1016363920, 750558524, 253006923, 263064215, 563374611, 519119727, 446745633, 419498919, 783414203, 421337275, 555433903, 273174911, 823936483, 502799230, 326125995, 1053937693, 55424811, 316513257, 897905874, 486279728, 686400700, 527267365, 1067401407, 892403631, 184230719, 179357330, 991254660, 440546537, 134135716, 197570093, 488495902, 402005243, 455797377, 1041794515, 937419354, 1043050536, 344861054, 496260990, 433383759, 253108288, 847392920, 724393904, 143266583, 26220339, 1047085500, 322191838, 1001047936, 1720292, 790660770, 808903812, 63380626, 458284705, 793109047, 631932608, 927962355, 1046751770, 1001323394, 381004452, 465509189, 762194096, 596021687, 372548668, 22463349, 891499785, 352186268, 795540280, 981445847, 934743931, 984746949, 929612156, 493995993, 212622184, 495715724, 792433855, 132611280, 436776986, 180764259, 473928745, 156994212, 691743024, 624258134, 79439695, 676427131, 210476930, 463532371, 1009542381, 789991936, 981917869, 1011561363, 33742509, 120245798, 805551857, 864006334, 429978995, 413313037, 28504392, 217529955, 712062396, 956404718, 297937168, 458839851, 103978886, 849184792, 84380921, 139299119, 363384676, 420277792, 133392752, 746063248, 458976381, 1063815721, 356692909, 65797623, 496095036, 701726607, 104333936, 87457256, 1012958439, 188729843, 527754465, 913191808, 304615865, 480748996, 541616331, 182234825, 621670953, 620608653, 800453054, 95345893, 633822494, 552467227, 1038558601, 403194337, 721552740, 844123394, 936057768, 84740069, 539950408, 940114864, 530868390, 464303873, 157075164, 662227138, 174358995, 260356119, 377632, 584017741, 762073968, 160653561, 246956998, 287996697, 101414173, 818808214, 412874438, 928601714, 897328446, 381541303, 1000783637, 244783970, 137013161, 1033667528, 601551634, 654805190, 1068577203, 1012655128, 955346447, 505838489, 233153286, 663947240, 824642995, 429986081, 691411006, 1003858255, 1038131152, 1063830782, 941596608, 467686156, 447069681, 977707784, 164666685, 353712651, 102022589, 81136954, 241381304, 465334553, 128585598, 801044677, 492637561, 267287819, 350653986, 53841323, 275620828, 435297898, 1007500031, 278432030, 361420865, 941396136, 61535227, 709460085, 688433605, 745009405, 861440727, 1037098588, 632365052, 863834423, 56266057, 133501493, 431033505, 418467948, 240725639, 819676712, 616984122, 308357956, 423735821, 210799904, 609899765, 352908549, 570665004, 247278671, 1002513307, 592118020, 757262358, 1022353013, 748441919, 994595590, 279401698, 195922953, 970051832, 777752409, 282895476, 854316759, 78890486, 427400588, 25301463, 550070787, 821582810, 369258151, 275019494, 569065600, 68568158, 645046245, 887177899, 1014454972, 400858834, 738237703, 643844211, 94188070, 652419145, 838290530, 908487617, 204549800, 977767185, 397835325, 424921201, 702349664, 377621043, 589639565, 483816360, 456588664, 775465708, 207754115, 119999560, 241003102, 45380763, 799694008, 295414917, 982315280, 193738139, 326124435, 159022191, 72745021, 684683156, 909042058, 872898479, 615477992, 228913724, 993918901, 841119466, 429343560, 500706054, 833434952, 962824370, 231956412, 679598532, 819254127, 706357690, 493052636, 909285465, 1066240868, 465436308, 692284407, 747011234, 145562153, 675279470, 563759516, 1057136980, 409989751, 422391276, 452724169, 944010548, 138370031, 1051952095, 354851081, 301671101, 974334118, 413746851, 423167311, 960004187, 71428811, 314598821, 406197202, 126601440, 920555771, 641798377, 875778622, 589367023, 703912063, 423241285, 267198092, 620565127, 919110847, 230966697, 363591927, 654191233, 63719948, 610998159, 1058077243, 63633495, 276804692, 804438803, 270693024, 492255217, 54305003, 1051560566, 996226988, 382695125, 166410540, 370419350, 1065784376, 358616203, 392510132, 1037341646, 231133674, 817714176, 800204037, 93869537, 617527550, 572695656, 1059284840, 614561707, 969019785, 313818220, 697761100, 1037278782, 996620668, 709723528, 379808724, 206228101, 692339652, 459212153, 865508652, 262566922, 991862361, 352010298, 434928966, 948870206, 919156947, 411770382, 972181553, 753226842, 981943208, 934884012, 397277001, 476443461, 182925099, 819887896, 1018194493, 753511917, 749795054, 821786718, 1017668824, 200626845, 951984072, 54792825, 1022135709, 16253392, 350868868, 451066005, 1006783168, 492288521, 608297885, 1039657507, 13295394, 367876259, 541530326, 536211210, 343317551, 530910622, 25874497, 432894332, 380152411, 96116516, 609636496, 42959479, 223386590, 727467630, 579353600, 852484304, 158371801, 822578339, 957621820, 339510286, 45969271, 657971186, 134189468, 302233816, 889398930, 812865406, 181798558, 902791381, 1032382626, 346272880, 936542973, 1017665666, 731708873, 107190452, 591094150, 825793983, 971158667, 335021124, 267561364, 51014086, 644346149, 446293110, 222674407, 177741287, 882403814, 396068230, 594896406, 690204768, 459530482, 705698683, 1003303088, 675482869, 561369387, 182398285, 755410326, 734091500, 654508917, 897956187, 528195746, 429906235, 568246776, 450641258, 64143774, 281780836, 492451864, 135879607, 156551494, 831828413, 323874830, 579463556, 360304464, 321553338, 902584478, 367415191, 711388039, 752797188, 412458986, 884848339, 669942190, 1070374417, 358863491, 826330871, 448699466, 196300433, 666464823, 471645664, 438169078, 538593328, 174214401, 794085012, 440060895, 653625408, 419464354, 600391767, 127135388, 93201124, 1066104674, 738579446, 357961342, 888981346, 878596025, 54022794, 154101510, 849711449, 903371888, 211157725, 1033920287, 663838193, 778904884, 670945304, 889168742, 574803304, 974765501, 336824991, 320752795, 545966217, 345872396, 838314539, 774954681, 256060007, 885722128, 296015794, 95952660, 635008588, 224255101, 320484866, 258314999, 188581476, 1063262624, 233829878, 659465907, 805435064, 840677942, 655325594, 292693119, 583358114, 891919869, 586512791, 932429804, 239045348, 815354720, 1019477925, 615608251, 179287746, 574020712, 650025785, 564259619, 486111721, 54159303, 728698080, 230180160, 809739162, 645676157, 766542098, 619359264, 133882677, 1015279461, 574127236, 249053203, 738744309, 164304201, 1009700192, 787640767, 204628299, 479794259, 390906737, 386348913, 272245518, 693920659, 823345485, 831610131, 660153183, 643448682, 599557750, 446436300, 43011678, 270515082, 830254729, 185202422, 168898793, 507358805, 400670295, 638207880, 309531408, 177702461, 76430883, 96543589, 74310010, 33918748, 234304998, 133738477, 268171790, 895967785, 1025381772, 166416057, 291064164, 869321838, 951616365, 489569757, 307342422, 525427503, 282794509, 759149170, 412952490, 239513881, 777722266, 772328700, 1014638421, 607589848, 86209874, 500988891, 491164859, 698144817, 839713132, 922353183, 744561645, 859585866, 723665965, 330779267, 22709405, 767928168, 930966864, 668103856, 9300414, 803863423, 20377750, 298219751, 970736444, 970580194, 185389810, 718363462, 575201639, 251832901, 29240656, 489837157, 97250613, 575184564, 989309193, 224846700, 628069331, 594448857, 557798856, 362762569, 386731831, 67967833, 248532625, 722720083, 849201471, 1055009370, 813689509, 116501950, 904188652, 645746057, 761785273, 509168230, 730790136, 887174270, 179052089, 220515843, 47220851, 733104027, 192119119, 777148107, 423958156, 450945140, 27498533, 126927347, 718973373, 1006498809, 120022890, 100192282, 1015597300, 628615825, 599576147, 226515203, 737955796, 952329672, 190227882, 285140049, 91049903, 950452657, 712863718, 448901700, 347290225, 761797377, 480138299, 911440629, 488393650, 785238098, 1059623900, 53691141, 975779442, 439940254, 675968865, 671803819, 383202127, 63056873, 239468413, 186437688, 700338123, 415434674, 688185010, 900273847, 518965131, 643389615, 500765151, 521387470, 223324879, 333352734, 692508324, 259899329, 257341203, 1000113217, 724515380, 170725428, 332657036, 343663833, 1066524710, 167808223, 314739952, 636109906, 645137997, 636617296, 765894886, 107929178, 433281235, 24632200, 390583750, 801460882, 361673871, 723411003, 122515791, 653078755, 277611742, 907520147, 179408576, 487603619, 379952592, 887898320, 1030787084, 434212410, 1010516010, 804292382, 42352411, 968085068, 257274596, 878368937, 552019924, 1010866928, 837656688, 473938539, 236346289, 465238104, 456839329, 562539945, 122811936, 743209581, 989193272, 459851641, 1072585037, 887468846, 644130297, 434798555, 529595430, 402036958, 239578044, 397403904, 459099580, 381219346, 455867306, 305395620, 314663312, 372492071, 705182071, 176084970, 742593083, 369372310, 385092476, 784245735, 90453662, 545150549, 587401693, 1055161273, 436731699, 264231014, 597411511, 238482822, 1070974889, 347530751, 316408142, 245422535, 345160732, 28358118, 956937677, 463010339, 696009814, 467753630, 1069056661, 1009998761, 1044065474, 1006727979, 1018876804, 217916360, 498901059, 846568871, 514439708, 649212983, 191698701, 332676152, 57581945, 287494097, 1047217567, 389023103, 115774929, 165799899, 500077334, 750487585, 712030870, 56062205, 226402275, 282778573, 245513402, 90582762, 859071064, 817480597, 237134851, 396219492, 795828217, 788459872, 170149627, 307916536, 348804071, 696181437, 389030626, 384940847, 482359537, 947800793, 484825506, 200931955, 183370730, 118641908, 868822664, 168145684, 393403891, 74039895, 1041038760, 800001546, 772959761, 577290136, 580143572, 298972055, 643038559, 492624584, 384375808, 328987018, 333611350, 744273522, 405808875, 837513333, 866337037, 217546563, 293834001, 924783532, 717910058, 669799555, 101623486, 384292845, 293507892, 484877085, 155034521, 1014143568, 203104000, 786076940, 711513063, 315848247, 514527798, 750367504, 979257881, 42187484, 442529166, 626510851, 876297249, 999902490, 314209145, 442130613, 602614112, 641132960, 1041701719, 247665526, 1001640055, 490874065, 489175045, 851795276, 147009814, 910270137, 740205382, 402657155, 308355160, 1029284824, 553552110, 727367322, 723043485, 260671052, 597542353, 731107035, 908630362, 896840146, 520169241, 889306387, 748837840, 94664940, 172650965, 656987471, 74758820, 39927673, 799807117, 167601277, 946052205, 212462477, 35767517, 375122616, 848356531, 80925718, 994735791, 122563223, 740432717, 923753953, 1047385421, 445487238, 714867163, 733376989, 384592290, 230286191, 677566021, 904049355, 663610071, 744940522, 274702701, 562122594, 1069087123, 1014052926, 804423792, 1016660886, 560042243, 798229573, 783116077, 565761104, 743124481, 129382995, 116972168, 553830057, 2383527, 723073643, 252675710, 140161188, 761087180, 425458716, 654796490, 701651657, 682771709, 20131398, 524261085, 645627200, 723255544, 850658097, 968296376, 981563590, 371733007, 241946711, 143309270, 149728705, 476893440, 21716489, 935004590, 497971061, 267418669, 41684394, 588991486, 146736, 465031498, 92479448, 55865962, 234853702, 665106777, 987881051, 677197486, 930334380, 690143585, 89651317, 882519320, 372991182, 471493125, 703425159, 15186520, 276345549, 667830966, 22928700, 90339783, 119660185, 288244056, 599457337, 474751040, 791981419, 925825812, 85659544, 994421949, 50988103, 297610107, 161736979, 251439916, 700604506, 200740589, 372250943, 578585121, 487930184, 177476448, 965255760, 749263208, 972721003, 202397200, 673616332, 916442384, 1059313938, 377170655, 888724594, 1066472215, 852825296, 14891202, 835287739, 342025837, 150889565, 957844249, 21575573, 988529064, 19679391, 978989665, 206660447, 927966804, 1039022479, 82903383, 1073723921, 413363370, 635004441, 905012754, 300074932, 851056339, 13226969, 161580105, 684273989, 760435468, 953257896, 256778108, 794142967, 17594313, 239929789, 914671502, 654765158, 472816385, 32019845, 967744641, 46858755, 276812197, 649266303, 914089722, 915126936, 882949987, 902639571, 504806603, 393173059, 1012655990, 396462092, 12646638, 603741156, 573343756, 348441405, 562894389, 1041548768, 746998081, 595446056, 633042801, 210638733, 862054237, 860476294, 450877781, 1030174094, 180084903, 310075135, 413877806, 14913924, 642450580, 285198355, 811608823, 775588660, 655288890, 1064897048, 739238101, 341260192, 504245924, 770329822, 453122195, 914917975, 128601017, 402404899, 991909022, 420185016, 3534476, 272631986, 345229212, 30473193, 129383809, 654758202, 241368151, 364198249, 1069908446, 156732572, 742904643, 382005100, 182211068, 179580244, 324258984, 980180671, 910913373, 1020898193, 221778885, 549854002, 1050397752, 359887476, 632575936, 262800171, 307946093, 733149615, 13905122, 425055052, 971753548, 412614297, 382234674, 763116326, 1025156313, 581866611, 840109277, 498734979, 383018106, 714853410, 940749674, 284155732, 1011980063, 959318970, 639117519, 24425803, 349516640, 843576688, 522247218, 371231003, 294347276, 219520148, 393804603, 678730615, 221320402, 923014740, 91420608, 110649585, 358653766, 1055191047, 246859260, 977133568, 101086808, 131029216, 1012539106, 434997382, 187732718, 1069207357, 423199634, 192665257, 628136555, 1048027477, 433387676, 1031180547, 414586394, 149758390, 138222210, 621579239, 165782947, 556957881, 481788675, 907618753, 271153959, 646857643, 608966389, 87968140, 716710670, 1070595904, 781097695, 868169937, 160021008, 321178122, 149182295, 477409156, 228256503, 689058997, 226372800, 656308709, 802955696, 868986618, 88141700, 4850311, 32335708, 765983219, 8703768, 646475916, 495090158, 494561101, 899189951, 1068018678, 568590241, 577700425, 60430263, 572209740, 164364386, 973484600, 350708203, 414323624, 330364373, 595647891, 290004318, 559073001, 484630635, 194199443, 215956100, 335755613, 1070902125, 244996593, 134867960, 64947491, 16296739, 256538956, 779996088, 1004876625, 908109253, 74716054, 334998862, 108580137, 15380794, 769704661, 177267704, 766201862, 284865969, 883903664, 755209214, 133502579, 823250886, 886718798, 1021344903, 142103055, 984020849, 186923321, 33927631, 616627495, 962079094, 199118359, 251107283, 111639277, 488717330, 416397457, 217668120, 304693675, 858645251, 935411467, 148876978, 913534386, 972832999, 83953552, 540781720, 1032941380, 794133099, 275316071, 1010412277, 205580733, 627357998, 423838346, 957760237, 538516914, 328346062, 418598340, 267382655, 49641000, 147547860, 602254746, 737110888, 990960882, 619821904, 492340799, 930750440, 932019732, 438293107, 869294606, 602892221, 439779251, 280014432, 10436348, 547566600, 398197196, 713916719, 317528086, 882472060, 528733562, 129816452, 1022034034, 584938682, 447000133, 138879385, 215844555, 431492141, 366835749, 134348283, 926745574, 436176675, 171375019, 196928162, 505307417, 411434676, 61687949, 820599070, 782585955, 316282549, 267723643, 133187555, 819009343, 690802828, 762642321, 868526626, 470400621, 353598526, 957478071, 902341361, 167438543, 140343802, 558583766, 572534929, 920327045, 223127201, 20176466, 540314063, 154681766, 10433793, 398868561, 449362990, 353360295, 700320226, 544134995, 536301469, 704016525, 735086843, 414827198, 1064347032, 624632089, 142502801, 405203438, 557682088, 848954790, 594373819, 674275616, 813320454, 699749648, 727676494, 487548358, 776565909, 950684364, 1026264473, 231564947, 427854626, 532242574, 748300508, 356428934, 558371918, 832843754, 554993335, 340308667, 374345180, 236304367, 61618518, 553902679, 926884276, 351565075, 880757570, 586244503, 811157184, 416524198, 800309567, 238776695, 929971869, 610180326, 252934726, 293677600, 211250892, 420931408, 371040712, 562314098, 174530347, 1008527592, 856686797, 929642718, 1041967396, 500697223, 773115926, 607051876, 875389000, 707063876, 85199920, 521717224, 200275662, 571392814, 197043538, 743009924, 101120951, 750071970, 687943304, 946205446, 540168947, 499815950, 69627489, 437222119, 360287111, 504826792, 20136572, 343492714, 837941713, 488636972, 405390602, 305520856, 332895763, 798725541, 1061107519, 402926695, 868623552, 241670912, 1069447323, 587338097, 434399300, 171220493, 494460229, 529962389, 683277584, 59908756, 404106280, 273437229, 10764221, 111148795, 147210517, 541027375, 882287666, 912174723, 467480947, 318701200, 924219589, 849730169, 549307968, 579886067, 930376842, 234173295, 11901850, 453893863, 917144763, 864522912, 225591924, 579962236, 885376414, 6687938, 756161990, 532945844, 167335564, 435210981, 432890595, 648895630, 919153485, 732074930, 221709153, 998729887, 876045965, 849453155, 783498627, 783015112, 905567502, 851580765, 51179115, 892629161, 93431578, 663031811, 636673007, 261740026, 1017755761, 660050766, 296859907, 1004139496, 807859217, 888651941, 798430801, 138528515, 341656823, 221028257, 553124226, 314214356, 727379195, 388623195, 612207846, 874637410, 491495855, 661303425, 33290705, 218218781, 316612413, 333445934, 428551884, 50120547, 772115235, 189286482, 531294200, 116608450, 560731266, 406650872, 427865876, 482680846, 12578305, 363955410, 551009596, 1068572621, 62635771, 785622335, 430985294, 368414914, 212735135, 769083439, 761484974, 1059746514, 1019265020, 767294788, 252376358, 439135759, 969344712, 854879463, 506797946, 722724014, 1045200124, 295282335, 462386862, 755010560, 585167785, 387321470, 1041460957, 198859270, 1062382440, 980186993, 533624793, 100784864, 193617138, 300967292, 754194875, 1043448305, 569496556, 564920383, 389037134, 396144008, 801108607, 981292965, 835185480, 617160449, 789937566, 875889870, 228365370, 811151078, 503574309, 840240675, 437899496, 426040818, 567519330, 504839001, 233010383, 150799029, 683407665, 202046625, 994580732, 212537299, 201398884, 823466930, 1071087954, 726812974, 177260116, 849486495, 673751562, 214346209, 786217289, 799035672, 955007426, 947346693, 551128903, 600761450, 936794259, 91315169, 403109552, 946318324, 162479615, 425607808, 1029131055, 943339270, 394987533, 486339900, 228178428, 570222764, 776774401, 717573347, 384398594, 219945383, 606289575, 505710876, 537878075, 40697377, 979687818, 11354089, 168936506, 381450157, 1054915885, 842563879, 578444921, 37199651, 874307453, 533122808, 334254737, 920177715, 733306397, 1050339349, 208716456, 859629753, 677240195, 1062493866, 270933699, 670603950, 891182450, 983911539, 460165822, 62477956, 660465493, 384678188, 675733158, 1066202976, 225283710, 373023201, 704456059, 170837334, 599781850, 209954676, 565455998, 722650999, 761283181, 96808970, 507583271, 330074058, 284809950, 569033246, 405597991, 330105892, 915253336, 428068878, 1057613452, 827127064, 236843928, 580027674, 434168537, 777822113, 288005971, 16155543, 352241225, 483197622, 322916368, 82227734, 472534817, 435507193, 272577944, 1052994891, 676164594, 516895219, 647077902, 98258077, 635465928, 489455756, 142318974, 172049384, 136307330, 571576504, 263895969, 109495407, 140899741, 911760778, 787252942, 309908000, 736716646, 50697780, 265582380, 579455371, 528749600, 223157985, 153462194, 394302338, 26792985, 620309548, 903173105, 676496720, 290683006, 556286495, 336727023, 813194274, 818270313, 1056615050, 407728553, 313630715, 502621652, 838457258, 194356215, 838773520, 1064761169, 852968132, 58304576, 462018919, 777059193, 884319037, 537954911, 788837954, 450406381, 433987193, 619091587, 531928883, 895591788, 400322153, 679084664, 890240276, 467422155, 381293989, 510048043, 336200098, 625785681, 945739565, 773243481, 323228727, 344309794, 80524231, 585927153, 6489985, 844526913, 380271702, 41225779, 621933918, 39527625, 742407790, 364669856, 994176676, 573601274, 678685619, 829871242, 209098488, 1060409795, 878449856, 714855339, 540687231, 4308721, 703854187, 871518017, 663648871, 14222638, 203423771, 807898425, 874241702, 876435549, 814509016, 306928328, 315151052, 641362204, 224648030, 940723655, 343617625, 850491797, 316503954, 712773209, 637938804, 865354138, 745023319, 587925896, 997167614, 1044773065, 619422544, 37225012, 228371330, 577999576, 549213977, 278262456, 703963911, 690442349, 656786361, 6958800, 995772879, 457501855, 95085451, 487052544, 699076391, 852654453, 104065082, 294605166, 408592502, 184287135, 952557069, 971694800, 534051101, 516224397, 149402368, 195172989, 1007716131, 95557150, 1072042189, 331977650, 755043624, 281600536, 540133137, 886057863, 852704211, 129785267, 1011956126, 662429689, 404012473, 939765650, 654241186, 585143382, 726087177, 535565731, 567461354, 172208288, 395743502, 338646458, 623980136, 1048470922, 242585663, 805767460, 17097144, 7333419, 267850667, 398582156, 678374612, 623110215, 151797608, 872644098, 545598361, 148813981, 187339517, 944870852, 68119332, 148724641, 918856485, 856862897, 441456641, 245734046, 245128250, 839429113, 756922062, 1014849947, 829531592, 213901564, 836784376, 536790010, 408486454, 571633256, 765160056, 31819118, 898306677, 349144117, 817181226, 977351489, 796749303, 635461919, 1003942487, 634504180, 261099094, 296496923, 10399904, 991564055, 767719976, 762548238, 1045411075, 574970138, 937129965, 594266133, 626725676, 528316775, 915634449, 65433875, 129020818, 284296130, 594837473, 534520715, 870334012, 537085007, 298512479, 1034617717, 859497851, 748408741, 943219323, 282612460, 468703473, 502636727, 297891829, 1042031744, 432606154, 241901579, 652998192, 866001408, 397755785, 263795613, 604600965, 82795361, 779972763, 980131046, 186388875, 971987167, 390707714, 429763448, 228635974, 512904522, 742869325, 179217745, 652037981, 5046327, 225474837, 781632784, 89959278, 304178820, 1013274371, 1049976485, 511846242, 878892156, 278795456, 44609704, 2887956, 873335482, 716092768, 755269066, 549219151, 346255255, 316473422, 934122228, 735826939, 58423189, 1021358575, 545784765, 750577447, 1039454940, 632895628, 590403420, 641246906, 880696461, 483650097, 944177489, 1001147836, 400763030, 809070912, 543468061, 901434459, 332061649, 857685041, 419225483, 76415047, 492266521, 387980770, 208749317, 531794895, 346874400, 973916628, 775413391, 1071505268, 570104728, 350395290, 655519674, 591655646, 883778030, 699947645, 247262490, 41621731, 672864327, 539420991, 191949044, 903814919, 848600663, 485270459, 421713195, 121981515, 692034917, 817393754, 810340951, 80378458, 870000658, 737955423, 159527500, 359576690, 489996573, 395575769, 272694145, 164426733, 382912777, 382829288, 928103313, 143053989, 947444918, 572059651, 250097009, 27434402, 102454794, 750840101, 1013623701, 973405941, 541807660, 1027278760, 456279927, 922784255, 108160330, 100419815, 218970466, 247312427, 86334510, 578901618, 187346077, 382410309, 932761858, 691133424, 633371160, 1053806794, 435909468, 306998189, 597173092, 959628309, 370694856, 321448086, 836931200, 140695634, 27255135, 209671378, 187664827, 36706721, 931741041, 991693917, 489338487, 788124687, 459912632, 354468584, 747541380, 946731891, 1002832786, 787690494, 911779931, 29722065, 391276728, 728394008, 544563415, 312556704, 341863079, 162325081, 256566413, 588697225, 212766246, 55698814, 1043891647, 686330984, 476367149, 1052481592, 934326580, 704462365, 452924525, 787407656, 484571779, 1037851148, 1071742715, 446999432, 939159310, 679251629, 487546488, 1061605925, 404104901, 325122896, 46849151, 940952726, 920566477, 409077150, 935824046, 901980100, 197219510, 913229292, 108358765, 778297147, 724495114, 935695802, 899329380, 336593667, 87431418, 192039405, 436055388, 781232800, 257467150, 464842619, 91856229, 400575769, 851804430, 672538945, 733544177, 264980418, 714261269, 995901523, 829157686, 450552263, 412864741, 123895439, 319524377, 721933223, 755258630, 1053530434, 20962995, 493722048, 430549101, 922759635, 47768055, 873911144, 449863829, 905361792, 425400225, 544083837, 761903, 695211617, 368718488, 320393399, 204811900, 1037953865, 454472222, 485963546, 294275489, 888579965, 366378358, 213396766, 535869701, 710505452, 104127113, 568318911, 947871555, 428333582, 287565838, 703628925, 303915822, 827322077, 670111708, 563298966, 549925589, 101040393, 592403691, 914409016, 1047289445, 943079894, 562179867, 767973941, 192780627, 418613544, 512373618, 207818330, 612161525, 850710472, 960277835, 581520060, 455402829, 782929649, 673722445, 15366619, 144087543, 933697570, 60012969, 26838533, 341664922, 414200412, 446435583, 502022593, 545988553, 437029698, 994949358, 468002637, 654448166, 429062444, 150055308, 1062279619, 795079771, 538626681, 792646921, 810653287, 732448784, 957651148, 613743176, 975033116, 341061147, 875301686, 286721221, 452583222, 57911720, 476765734, 466123058, 911109093, 120651917, 950956767, 426126018, 111701440, 310137940, 607220445, 1017297650, 494546370, 1044246112, 832556830, 414650943, 132919338, 579138528, 280884123, 893954867, 17028428, 59622137, 230218638, 239043034, 374080686, 980017129, 4563233, 802696248, 759783587, 899549691, 814313714, 250948351, 659614853, 109183117, 969673959, 22827694, 92479424, 852940465, 131157721, 829253075, 833639688, 891924121, 904509428, 313893164, 747759802, 366767173, 500687749, 784835272, 482249307, 934019042, 157276080, 479815946, 1034017963, 875929100, 127440701, 380754671, 493810663, 815660997, 168330129, 538204631, 946244721, 971186988, 847402253, 631777164, 594672200, 879275411, 68664362, 105365294, 702323362, 932982845, 969005031, 666422844, 195529186, 207589927, 959231450, 371601952, 329679619, 1007852388, 137110913, 986369609, 148595448, 580042304, 729422693, 441703726, 591394442, 549539687, 867175254, 843542788, 313128946, 713465895, 433193169, 884112420, 440213924, 996514941, 230926916, 348226842, 429622183, 76715670, 805842674, 370214188, 583837201, 569880039, 569982052, 342095524, 492848765, 963612534, 162312038, 882068600, 341042618, 180788163, 611925305, 981437369, 666517883, 484402003, 44533126, 245546625, 290418270, 550590099, 791852021, 871982090, 429764413, 169475005, 23658501, 225653646, 691206521, 301827139, 1067919643, 792387652, 153629998, 769070818, 894187976, 600562192, 539495544, 803272542, 850671780, 710386749, 700279584, 202602923, 844793774, 406857994, 410205492, 8851356, 884923370, 694346465, 797070996, 501057875, 635392942, 447769440, 811638588, 13824574, 309223351, 650034235, 577315997, 191315699, 1057987268, 718172183, 227241956, 723235419, 339167619, 341040242, 592868019, 283321335, 913221699, 609792783, 930304388, 341101382, 588931383, 32773706, 841053356, 1027559126, 792431570, 601012787, 274668364, 164426970, 548676020, 414154130, 560342543, 1011089277, 1034706507, 730618215, 173162733, 265091420, 367078926, 385250075, 762064615, 150853302, 709075589, 12671855, 1036916230, 850447802, 827610112, 618411753, 397230507, 1072653967, 918810664, 599625586, 245630470, 1008624089, 536107920, 971119025, 633660043, 51131605, 989746268, 242898946, 883219084, 595226717, 61784947, 1001576117, 362846251, 441914443, 545514373, 383206022, 765639675, 473887399, 161335581, 843014820, 632558860, 679357781, 179439663, 292058972, 1021068936, 677493472, 478252662, 814355274, 798326926, 619232423, 430912647, 854434797, 117621537, 450119915, 1029610662, 322527710, 1071104221, 122274522, 593010762, 59513923, 233833122, 642300018, 586937579, 626173101, 918756106, 643932660, 390646209, 969431359, 202705456, 642820895, 263344724, 468438260, 968939694, 988365495, 276704255, 218912379, 994600036, 4671294, 522613270, 1032049620, 693928751, 975089566, 52996808, 998987668, 976404500, 568395657, 741277068, 759596623, 133343644, 681353800, 161942884, 374165822, 729401761, 939193655, 768763682, 575527793, 802499578, 721854190, 710478251, 272239031, 151028808, 143988085, 51115672, 791685018, 431244420, 87044372, 678605197, 372898158, 716523139, 944128389, 416503080, 25160492, 747546258, 1000149427, 274110448, 948241592, 821354004, 1040326030, 867686300, 309760993, 1033617202, 26309637, 278162525, 545925198, 377952058, 786560788, 450361752, 753887204, 795382468, 567939613, 706450531, 994430655, 373295155, 440795933, 866427908, 785949712, 868797155, 131106745, 23424072, 56400620, 620910674, 946143746, 863977715, 297092575, 298081232, 686332113, 640699178, 600472232, 1013845390, 409237062, 967858009, 874667579, 755571169, 380198665, 319706531, 779521839, 871776611, 657139038, 451052856, 201083310, 1048641356, 146015303, 687516025, 500405073, 261695849, 56280649, 1013736838, 1069148567, 261357034, 665549793, 425938032, 967734190, 928049873, 1018519809, 483428753, 96651309, 556998718, 156099475, 594912181, 162004548, 432779581, 711488096, 898443478, 103138204, 54285331, 504647630, 711184934, 388458240, 168039539, 643735225, 660713619, 525795701, 313775332, 249700440, 426276507, 1003731575, 846328369, 376413528, 1011159271, 137189927, 779160051, 125888995, 129249315, 120976416, 861060075, 619769226, 793511625, 59597715, 894647336, 503652011, 402650282, 640612120, 928850663, 12578911, 429322984, 931299723, 737737308, 256662035, 772956704, 555131711, 367206143, 965843840, 652418319, 398549360, 314011001, 982277714, 82378732, 454778387, 28197703, 597865891, 706899717, 779591460, 564719438, 414822471, 412109216, 317041980, 749016581, 145292932, 314514565, 198073692, 276682216, 788271800, 140168040, 633693401, 256010610, 228530356, 988173383, 594957898, 841040500, 876363276, 948580115, 645484822, 1023617652, 940089880, 895728162, 521653262, 858296213, 163315590, 464843572, 962436542, 622011421, 399934979, 228355312, 673638551, 730965985, 298422099, 441712360, 493757125, 3313440, 920295448, 613697168, 573389169, 927349970, 186257295, 91429226, 845501315, 356586480, 803078650, 548385046, 129727453, 202940742, 676070509, 71647328, 13384946, 660274678, 162925453, 574962400, 17157891, 456884067, 23216374, 369743835, 690717543, 94639130, 578356319, 617210212, 811144749, 167882818, 551691946, 8363226, 191840495, 517802559, 507655345, 771680398, 505255801, 474779439, 784490897, 1032784903, 304875547, 97840714, 74278009, 86232834, 470028908, 316065013, 945871551, 116209686, 520423587, 31626141, 266741027, 625578867, 45291678, 266263599, 887034639, 782932169, 538361454, 209660862, 1041839540, 699442334, 489711126, 171392492, 796404989, 706697825, 418928422, 1050717101, 1051130980, 890577237, 755833928, 466724907, 33020944, 273733917, 542243156, 193421747, 520794799, 505764841, 891402438, 575755945, 721247646, 852727771, 642692503, 570861799, 777411122, 1023759126, 969582535, 458802861, 622834008, 778047938, 689835576, 993265714, 229136601, 274968365, 523514657, 911636576, 211133037, 207528276, 510717050, 71004226, 411888394, 839195093, 403335729, 713863667, 630693, 791655976, 584016587, 79040474, 321775259, 1003359936, 241512886, 509528610, 912532693, 1043125524, 579543695, 677940584, 312657819, 449532834, 713074891, 675562289, 978681860, 136860953, 560482385, 936699343, 552137251, 109513538, 296223280, 714802198, 153328487, 273903385, 285671782, 471889488, 1027496237, 145805854, 1037940821, 782306786, 798805459, 983340405, 508136201, 163929425, 10868915, 60138980, 850782151, 172505876, 629010224, 636370077, 303185921, 309115393, 583229677, 471970835, 517837017, 729059686, 49564072, 523274953, 855351505, 37891324, 301346921, 47887545, 917305154, 499932396, 635397421, 640320683, 679617537, 583502526, 400397459, 402118615, 513640683, 20083287, 192018650, 435665920, 912629183, 42093938, 333142722, 984982327, 305705336, 985283083, 522662271, 603058918, 432587620, 429049001, 853806285, 67068254, 644853228, 1013855250, 560553298, 457229100, 840751078, 879058794, 1031761788, 651636066, 892507720, 379113127, 170501321, 656217236, 188614422, 590434480, 431858542, 305680735, 651873924, 263031826, 977352927, 923682663, 71024602, 482684793, 499217377, 304685739, 100113067, 945965536, 305942388, 250465276, 631633358, 826351519, 579462461, 1068989066, 477819476, 253013449, 441444527, 529487946, 717285525, 498915544, 683946760, 279604567, 130823886, 515582723, 93665250, 252922077, 431623414, 684147149, 317730904, 501832325, 12023079, 1031586340, 1010089781, 91537063, 891695120, 847225085, 574818873, 378050907, 381588376, 862533310, 383022601, 352281071, 521115922, 141211734, 732837623, 30262832, 46364043, 1066293939, 832146950, 863804015, 741911300, 806772322, 664665098, 790039244, 860393446, 37733165, 212505773, 1072374156, 925854208, 779971978, 721440126, 1052577670, 897739676, 418339284, 972435457, 13695525, 707430384, 15200785, 830137053, 118471989, 386120584, 485715587, 482323797, 175493769, 112223766, 813618058, 203118644, 58250932, 878237427, 973632316, 762670058, 653594689, 76396221, 2600139, 519803303, 419368491, 11597895, 860136287, 819434310, 943290421, 407775588, 95599123, 85745289, 854778286, 71162730, 150307315, 392564867, 33047491, 48621346, 631848306, 575031969, 55255877, 182738686, 89404649, 462633967, 405882994, 342235732, 229024511, 358095407, 534023967, 824428082, 695722909, 924862998, 400480785, 779504354, 113844878, 115929367, 755623454, 481108565, 85015329, 256309822, 1009129543, 473344947, 293001345, 638119004, 762733171, 791406643, 759337047, 164109575, 632714472, 1067273099, 368497504, 441987419, 618795450, 157013142, 619412745, 167588348, 964988100, 50868982, 728704473, 141295766, 487236461, 113110486, 148938232, 253473172, 334854223, 541249304, 114257789, 905550109, 147844111, 193925324, 639952379, 472045992, 917032415, 59141476, 851480426, 1064719646, 72810626, 253588703, 356626828, 53323248, 519351128, 584362775, 402937417, 822507350, 212249269, 399037537, 390028237, 774891117, 140204697, 355742210, 1048037539, 24378091, 341726887, 1038749084, 483794979, 560316453, 870123015, 78003697, 538341269, 205119591, 649670026, 926492334, 459570479, 261329213, 851167532, 981450346, 666688547, 1046925497, 966186894, 596259615, 884587911, 369911649, 378685194, 205566690, 393060679, 631802502, 844089632, 901152425, 958214527, 823737482, 100171273, 282274465, 721319696, 131514185, 839862963, 9867541, 330676416, 1027503418, 312010816, 144756217, 902234203, 738066640, 992041201, 736081947, 682491173, 318668999, 445055006, 146876189, 395703406, 235839590, 715624348, 724564659, 845341653, 872024483, 562712205, 422356356, 580467739, 982051649, 465959938, 467664020, 321096815, 911109142, 403292731, 255769949, 147210377, 447839333, 1072854626, 663894788, 396963629, 1040950013, 451061957, 835814171, 562389070, 458735200, 386957577, 336516220, 990755065, 636756945, 1035306235, 732891966, 871040960, 184126021, 655125525, 349410057, 527976048, 1025279428, 480124369, 610319476, 839946196, 618610788, 80827310, 880770155, 664745242, 1030647114, 1005367599, 551822565, 550801323, 401630645, 18622397, 429724632, 120133892, 186083724, 43357964, 661263474, 207532659, 783037369, 417975238, 88089936, 938409643, 27169417, 677966919, 843348271, 342574847, 361325549, 777761366, 478289634, 15622923, 729983607, 304286762, 1040111419, 677847119, 858980650, 129629994, 731726271, 189926430, 54085983, 145891121, 596854825, 671714308, 223468268, 251811619, 848197113, 939477824, 282998639, 1010166962, 925342667, 60637095, 328679538, 633537705, 271084585, 271316434, 830417153, 56083265, 783813840, 312992706, 789419274, 138523134, 17905159, 864490489, 474751086, 862376564, 871106521, 207650260, 964355688, 758957101, 755408160, 501691220, 929207523, 773783731, 756138427, 238849596, 861014429, 895741948, 903823463, 71771650, 132496510, 720298211, 697926731, 505768645, 835513769, 148781128, 453707322, 388478315, 543428421, 179026295, 1023404562, 806952085, 225417715, 72567943, 920042562, 1047715393, 291825483, 318673661, 411718483, 894783090, 308848447, 531315390, 654516045, 520463711, 171754813, 695854302, 256882434, 376094104, 644607082, 547404018, 506350353, 982751398, 1001842046, 770446849, 878996444, 916168282, 1002786686, 91885474, 927507237, 300717614, 527997529, 984541058, 533082688, 423162053, 100856502, 149241134, 586674079, 859931893, 558808951, 105381902, 234829067, 574247061, 619598410, 432827963, 91215651, 293800773, 738888513, 348109730, 385793593, 350568150, 143490285, 393140658, 854134521, 943205879, 488797816, 654814966, 189271469, 909666882, 671465911, 356960806, 731049662, 158520169, 950236204, 115727545, 801810259, 569162576, 42373541, 942794554, 59232315, 260510513, 19518441, 355737098, 80471472, 282086925, 883488772, 576044979, 1040612456, 1070380534, 512150845, 583433553, 195887541, 1070322445, 1065508000, 866537880, 684063579, 765641712, 682743728, 590927684, 869527640, 718490805, 729071584, 595563738, 1022510703, 1052342522, 259673785, 190193581, 306073238, 1017463416, 95323497, 741733824, 738011969, 457161914, 369867885, 616791104, 255046983, 994358053, 479490779, 930514437, 487563544, 211808234, 977881633, 413794183, 888351631, 635913259, 588689708, 57968903, 200012248, 953316836, 44394599, 51303032, 661389942, 420187935, 51920348, 793677126, 912684187, 249010208, 361847080, 139727919, 479254141, 383172118, 1031141473, 489466908, 807108128, 119008897, 140255800, 281325516, 588534491, 89527765, 215355426, 1036824451, 590098159, 226660196, 136773170, 819504173, 859033539, 589680448, 549544885, 743150336, 607982914, 825089214, 1055364119, 572395602, 504587822, 690110530, 299042780, 92210322, 508548829, 553740306, 800913029, 522137814, 913690554, 380836745, 548224790, 221555002, 261377790, 714955501, 386643516, 929900783, 652518667, 884758616, 598964822, 852534960, 8780457, 310339698, 995626185, 356032573, 93665080, 264769909, 573121454, 233632272, 467437055, 828627942, 360215891, 1050800872, 462417864, 986481336, 931444236, 324827871, 18220275, 814440555, 940540832, 89044248, 180647348, 638884069, 34833901, 766904212, 217824663, 903260505, 856048479, 179349657, 51658117, 462115930, 44813812, 331594970, 101710134, 493235302, 474225767, 185299884, 620157477, 468501738, 893806654, 301711602, 12383558, 435903869, 448281264, 705422495, 267957514, 525085793, 892233534, 905458300, 358122550, 911579617, 305377021, 839364785, 377769385, 150818362, 447101392, 546812686, 444240684, 692905027, 235947913, 516871031, 458318354, 34716876, 909321386, 435134782, 727746869, 783478401, 429171999, 1067977426, 439122106, 878854193, 185652932, 654468316, 904273159, 219068703, 885620946, 440462326, 608775410, 189118440, 380117377, 771974242, 737808689, 479532299, 458979092, 794997965, 855111846, 534862640, 975384227, 823558782, 311487225, 740427043, 604524529, 866077752, 500687258, 464386767, 868635325, 76030977, 369004405, 1007587310, 98241403, 796430293, 1019581602, 195389520, 946204186, 16345525, 126627351, 395123312, 42834544, 592088658, 687856172, 696919775, 361677063, 507822652, 718922326, 496315300, 849592307, 674872323, 297583271, 365513344, 760467875, 315494775, 792043501, 871172797, 702949272, 386921259, 923035840, 386589242, 546158509, 71907203, 985487624, 946126591, 602449543, 248961387, 935599791, 527207026, 833613395, 105804296, 1073450275, 561919740, 162204355, 980280468, 904898346, 523372344, 301629353, 915447246, 513190344, 654776029, 7603486, 303407867, 893448030, 923024926, 357488544, 183193063, 2991835, 593741461, 118309384, 574360291, 187649551, 46235907, 407495351, 290375455, 119183301, 687752533, 239619242, 262493397, 577745025, 55623623, 863723316, 252189335, 60439901, 113802181, 404128047, 1019817969, 939961055, 312843906, 854748878, 541546908, 783550014, 1064040164, 944475006, 386738587, 100257068, 957780223, 982951463, 826842511, 175098482, 847347179, 666196518, 973463794, 413081713, 800417280, 181558549, 88989101, 244936010, 559098856, 330798601, 914750221, 272962706, 447817577, 789371523, 1068367461, 1032488964, 723568925, 340434397, 1048978727, 211203627, 11290588, 293244793, 927447219, 453895654, 840288030, 320950654, 826294647, 536879900, 129635782, 600358390, 340966992, 870904270, 604960822, 572296274, 708566527, 1010589577, 197183541, 662045911, 331701292, 1041693938, 990108566, 899894992, 603029498, 799388875, 895021214, 434799475, 375423523, 1014115813, 371807591, 48102478, 302416883, 817830862, 292914339, 664680787, 347752966, 163368715, 279425602, 443031108, 617219652, 873118513, 783893405, 470953460, 901650222, 222128118, 837814608, 774512183, 681259399, 1066356934, 192995370, 435547439, 787261311, 297487949, 561011317, 628563403, 919451493, 650099420, 577272711, 43769155, 1002753345, 166590244, 429974315, 70448783, 586423168, 451018543, 706109911, 768494674, 289021823, 444020507, 437756947, 32382137, 171606737, 684303541, 483122420, 849199012, 114429674, 1015043618, 558893569, 312298339, 331412880, 1021213241, 885051575, 1048184545, 362464205, 231809209, 69259615, 420049479, 367303122, 1019866931, 734614166, 216557269, 109925268, 566781032, 238904111, 256291227, 173668387, 630062042, 31888132, 538193014, 610366253, 208033658, 574702626, 745339335, 31813957, 187772243, 527778601, 514328841, 543319643, 677386804, 994187562, 158045485, 34668219, 162840318, 314145088, 584483639, 102896030, 911068759, 239441898, 841978113, 95009870, 397023495, 62288320, 553174137, 340364446, 861595611, 378166947, 317502041, 488117404, 60872798, 259955235, 442782779, 887975078, 498896272, 802488407, 108800223, 150087762, 818849683, 897930850, 855321190, 386998316, 670460848, 148460227, 258100419, 363561898, 189823672, 850504795, 405308928, 449836326, 38195573, 206367924, 361851172, 297180392, 728005287, 88479445, 389363785, 179569329, 1019289196, 243677663, 859563744, 112975263, 478476843, 628961211, 442148284, 389629978, 257927611, 539305802, 973389659, 490951752, 115570428, 200299538, 276042295, 313933273, 989292485, 189466882, 299706566, 978296798, 153155100, 461919941, 105538988, 133603159, 102719520, 1027856438, 45115027, 420067628, 180599563, 933248773, 624352104, 990122248, 994111309, 1057603231, 591317538, 371775708, 648680182, 615856073, 934837223, 1021999538, 17311402, 249217779, 184100963, 73369332, 75072744, 89601664, 894353242, 789396358, 251818713, 215083184, 96802570, 185857408, 590016024, 499233882, 499925930, 356359402, 983308579, 164622418, 732634766, 10320212, 593011900, 442097346, 184228665, 127317146, 554721422, 342485500, 969758452, 907252676, 101954488, 481109237, 464969284, 1028543473, 200592216, 425199854, 766151874, 30989621, 875754485, 992345326, 848464838, 432120325, 933542214, 121299642, 433418305, 1018014108, 587791480, 371713031, 664564624, 768630392, 479703034, 937691265, 661978242, 773315156, 195028517, 176821337, 1010293424, 461923808, 484270168, 463234307, 522945421, 85409903, 1054691082, 713697692, 528060891, 639645926, 363777264, 182212629, 40613728, 991185795, 189150041, 674971909, 714332558, 879471158, 59539678, 525076902, 1023412417, 803718842, 605647855, 861186316, 962282146, 705008920, 413748138, 366898179, 665496128, 348391113, 70406738, 747119536, 948158101, 101838800, 594515215, 233244722, 515805507, 506906932, 582344980, 755267300, 883129237, 707532807, 583274732, 435296649, 196692057, 479756235, 558758924, 281192396, 735202295, 642187387, 886842529, 711375723, 845454353, 39505032, 1004226560, 468265222, 663160591, 767414834, 249700423, 56842775, 628764141, 250947608, 31641907, 801500539, 355990068, 767543606, 429733584, 206137767, 1048193726, 514153012, 975243834, 645980812, 1063887612, 178264173, 365431926, 76143797, 4796672, 550676301, 342681612, 988680013, 603960633, 143560740, 909604215, 723886583, 620620173, 263245409, 192014078, 578233834, 415571097, 225250078, 1040330431, 1031233537, 805298889, 621824376, 288630830, 744506955, 128405049, 637442709, 518245339, 209711501, 777050919, 478002014, 877301096, 369305020, 322990762, 245103086, 757002192, 51294795, 447861568, 766940197, 127871365, 774638221, 131504084, 638156722, 486273819, 361829631, 75702483, 314753046, 615858316, 222544334, 387968877, 42799875, 121826122, 182529829, 1065438172, 832163347, 406535808, 371190430, 105031893, 135637064, 485411247, 424323913, 844603926, 894738542, 185600729, 221153171, 150035341, 765749765, 385097048, 546973003, 928194532, 361211794, 902380109, 730009561, 24648012, 24657585, 1065091363, 844961258, 981674816, 938976614, 176547805, 494738598, 196589341, 1030984432, 298068239, 764455878, 810937848, 149133647, 98491919, 527047676, 764771565, 793853922, 776430833, 743044653, 731715662, 145437906, 490994609, 1059986064, 601887775, 478429298, 376161537, 668117888, 615949923, 110307415, 636659308, 713417293, 863047730, 834510842, 678278258, 905855398, 1001027896, 209475292, 379819553, 910667530, 607956237, 734847765, 274286767, 480563130, 174757655, 108837651, 700686753, 652414990, 574331445, 429860008, 816320515, 573738764, 388285994, 95577357, 785157267, 609932400, 789475464, 278287239, 486432862, 660553064, 680473888, 299785752, 392091627, 253559299, 933658033, 43750227, 30120353, 290745693, 607620933, 53704184, 519621190, 274964014, 785445190, 955341092, 568638678, 20769163, 230587579, 667080708, 390860789, 564176738, 24056136, 178664539, 54017644, 339979937, 71782095, 992984934, 393970405, 1003066997, 606485575, 589432754, 725278785, 516356763, 199495992, 447162249, 1006841449, 79563974, 942680531, 597489436, 899668167, 877232526, 147881959, 1046537662, 362511699, 924284052, 198351587, 201842388, 442877645, 386674384, 879040024, 206703439, 1003832991, 573082972, 443019904, 120459858, 1026688422, 654915982, 528557050, 17239319, 237543779, 284337000, 874648788, 985960254, 286992590, 403945028, 42640269, 216314591, 945154045, 143187423, 287294667, 459776814, 411134667, 522280476, 235545622, 1010113580, 762935811, 1015320174, 783398313, 68612674, 686095067, 536341204, 706614355, 196501569, 532209944, 96570275, 328499446, 114317500, 211502172, 60802757, 199110673, 218514079, 632677579, 21697079, 500662689, 345145424, 356313449, 238531161, 814805284, 183577475, 548971560, 655091018, 761927415, 371445463, 143082652, 456442274, 83899541, 950875640, 480617556, 560874220, 668198731, 305724734, 662608672, 560461776, 1001786396, 931565806, 1028123488, 725900631, 949266692, 117438689, 268897506, 55813702, 746417657, 517671866, 152741763, 182027413, 104126286, 513298468, 438850809, 105398826, 818377417, 31697705, 346712847, 256552567, 576639507, 845174726, 441470229, 984709089, 838474223, 143213500, 567526408, 787337595, 584779739, 585730438, 54917512, 272127909, 817220130, 698651512, 502955790, 1052621871, 210526182, 984050642, 456875459, 52864653, 729062278, 424925508, 833096063, 785936681, 333925624, 757656471, 101784837, 98909519, 346601507, 70702396, 144732193, 855448599, 245510752, 652929586, 955257584, 3422419, 342823248, 953703089, 984368912, 488416847, 76832018, 949512346, 728422429, 328123444, 600548242, 60223375, 954931734, 930171262, 837098959, 988370304, 507386613, 933823989, 995647680, 304681113, 908608499, 431474776, 457511416, 1002340975, 962245002, 828374303, 456397275, 541233924, 55645522, 712940803, 866944282, 802173223, 591643294, 381039601, 995713469, 73385340, 263560640, 364060590, 1011744185, 167907347, 707514255, 697279120, 108168215, 970251170, 845802792, 143484365, 116552827, 1017689281, 93539855, 139078925, 459007298, 271712439, 30589053, 724379448, 246604748, 920186672, 907190163, 226989612, 960815371, 177934918, 471499788, 57700900, 909007005, 565210274, 926068112, 196387276, 900039730, 282849166, 318992191, 755467789, 431223363, 744503612, 368947382, 817836383, 914770763, 297625008, 1037375248, 499669697, 262362539, 51421111, 888623647, 533664863, 13253760, 272591471, 1001644993, 289154662, 595354793, 43165934, 933420974, 499223197, 626612358, 921757166, 801025692, 339259681, 70369620, 1010843936, 593783065, 674350817, 209542013, 133372291, 1045621439, 1021443117, 94271857, 220636083, 700825786, 470604469, 115798544, 408117210, 426236323, 301932027, 970314948, 424652405, 491108138, 140891779, 170220636, 790462607, 303791339, 800225385, 955228840, 993739922, 961155725, 684490229, 262986994, 499856662, 430786794, 535085268, 122897338, 1069679460, 985309920, 612012191, 48938640, 677049788, 406025448, 407883836, 757207239, 350844454, 909999792, 307669235, 1062260477, 107351184, 747971089, 314405380, 585895795, 336025946, 174860134, 512431283, 505481552, 401910166, 810657360, 1046738335, 6757949, 444771971, 625518445, 486141311, 79582518, 198965141, 402767815, 531718538, 404786930, 131797285, 24138087, 718575036, 863854938, 279308340, 273854298, 488014496, 628963265, 262807847, 666897819, 125095063, 719290193, 97082567, 148076710, 923073431, 69176866, 973410835, 778757606, 333932605, 902710207, 823428478, 629203479, 887196820, 938196373, 8710847, 1018037423, 1017790855, 790444537, 610867953, 461672231, 199289266, 935580467, 158989176, 520332227, 300544490, 740923820, 679169594, 607530732, 1040635110, 578971758, 6326633, 84217255, 627488400, 748139330, 1070906224, 33048638, 825365584, 777303553, 95953502, 457133821, 421910985, 57832465, 995146661, 559328607, 871023873, 533805490, 387802450, 475524954, 16506203, 542966992, 640425438, 328186444, 500746454, 966714142, 691283736, 598421081, 571947081, 281378329, 1009537078, 896369547, 291567996, 563244658, 162360349, 1051856531, 628882718, 1032299430, 182096976, 174840345, 829955853, 519623050, 120070663, 569292913, 54079430, 651932872, 1021517040, 521700871, 974068731, 285926235, 293648025, 610308432, 262212314, 289070991, 742329308, 978148302, 20192753, 292931167, 42141075, 882665445, 936881605, 633063435, 983959944, 174826625, 460583531, 286660546, 694018283, 564264788, 116028926, 226864567, 599812182, 550699970, 915380601, 913614495, 102484099, 322459439, 1029246050, 139707620, 649958777, 624347829, 907554949, 229566176, 357295220, 70997991, 260573432, 520545220, 48225780, 869866994, 902994047, 10761201, 809545210, 170003680, 119886732, 641508863, 838369268, 517949558, 702327297, 616149787, 818154831, 511688085, 541780933, 968506956, 884010824, 558690119, 850297618, 1032426318, 919605334, 979891912, 295741650, 89265744, 141709146, 242359093, 681756733, 464918519, 886713198, 974150376, 700399715, 572252456, 164538711, 447066927, 39200024, 910807383, 901748140, 886730987, 393460647, 1010682522, 871080062, 766582406, 973129574, 129183940, 250742892, 175546673, 585853410, 344441302, 401671727, 785106465, 580823930, 166623192, 270112483, 135517466, 230760684, 53366954, 444895589, 649185877, 777685862, 687136549, 572343137, 432168143, 770399012, 832734037, 292675591, 979982618, 226317474, 164223324, 85387307, 374863885, 1034042330, 530581945, 719233216, 760190706, 567222556, 199347806, 792264765, 8991928, 872519629, 633542123, 999491128, 413829072, 238907306, 461683142, 896262307, 179699298, 315865756, 83896066, 395725151, 603159417, 663018371, 286300908, 316369219, 576599325, 926492967, 280135049, 527984818, 7689115, 875846818, 310305448, 65807575, 864024058, 102725988, 317222807, 690535524, 691839900, 462357281, 404973911, 858229049, 12621458, 469181148, 786698425, 835129262, 109655593, 96423949, 735324749, 1038703893, 443729469, 943701351, 386213478, 222602570, 1034716494, 1000913015, 389989645, 730483340, 158337091, 631586075, 638951585, 964700680, 58404726, 1037417382, 830643692, 20329764, 866875792, 690734369, 177637389, 211309514, 639371749, 777430035, 760246675, 711185918, 136344836, 876324978, 741159034, 1013473543, 881234959, 425175065, 372233442, 328676803, 240547032, 398508162, 971721201, 895333702, 689407841, 542169359, 34555706, 985206572, 598510154, 897285801, 804151096, 506307241, 132241086, 893942446, 863877450, 933354400, 1035689004, 119379463, 545345142, 222205973, 95059483, 918016419, 37130032, 719965571, 865396141, 923890968, 913569315, 215990585, 407718346, 952226521, 327146594, 613781006, 21998841, 223396070, 638177405, 487293838, 985543706, 417146232, 723364172, 488389218, 97331887, 743277852, 665661271, 479183183, 328188959, 447957966, 680841370, 174274377, 405301375, 559308033, 214179905, 9157349, 356513615, 615044050, 82363966, 986559045, 264532601, 435185750, 984036177, 1025332288, 641216123, 678320241, 476478300, 400545589, 557655085, 762210534, 664217981, 136106828, 31913396, 510083915, 531402731, 704976217, 865803600, 842538420, 529283114, 1059759356, 963484046, 290494049, 973007604, 223973758, 525157669, 880497851, 594049252, 862488444, 849542554, 453548292, 439441755, 82282265, 376616900, 17475783, 394392827, 614569710, 976827536, 740998715, 656457406, 593558190, 867561686, 29052153, 973852421, 543472497, 290476703, 175207966, 259515842, 479284610, 276969242, 826214689, 52040745, 518887291, 955128130, 930311616, 166879989, 858255233, 560966321, 280513475, 328060114, 985685163, 907149992, 674000031, 521377148, 461331518, 566649983, 850857506, 175755745, 912228894, 1057601215, 889561894, 379800892, 489743298, 540258675, 794211543, 703403395, 626514194, 327088089, 995982014, 798573381, 826656364, 595559285, 479283855, 599651544, 854875263, 578546759, 402065765, 630299534, 746710549, 596495178, 511394700, 962819287, 456011833, 196105710, 67542539, 984808755, 813814028, 695567910, 1023833666, 30042891, 566028084, 439893163, 910774186, 858680566, 1040772957, 275360179, 1018075068, 449241241, 484055295, 765825300, 780884172, 67750171, 372496215, 369880448, 258782899, 561623580, 265649888, 954062606, 988071956, 934187093, 586381409, 514958523, 1064102034, 117968188, 987698048, 487210592, 243535458, 938539661, 615410803, 623566824, 537838716, 960964295, 409358977, 900020518, 880666987, 568047579, 620038188, 640015988, 548845065, 11782784, 391450077, 373643412, 407160030, 1042499111, 939718204, 220790210, 146200743, 733278058, 888691441, 575368088, 133328138, 771015557, 126620604, 808111961, 715284679, 836566773, 879780767, 1066951548, 532640483, 681605333, 323702176, 448057721, 203685041, 724490976, 439449191, 209123278, 1017945547, 34513806, 671259500, 567517311, 201910317, 791116898, 1057675374, 759041552, 446716277, 304068702, 536121196, 441841464, 445867913, 463847355, 1052405573, 208880268, 689125746, 328359777, 471713219, 423923151, 773383007, 594994943, 981597041, 54740188, 311273921, 728334777, 655906600, 369895361, 666085027, 408186420, 1006059124, 210654747, 974081683, 80360319, 911282484, 486551321, 809007857, 9488894, 28910412, 373059534, 115403881, 410918044, 5483754, 441177803, 586435858, 287135091, 835952278, 778749244, 507566451, 904236510, 396527903, 1022174110, 452454755, 216142894, 73437545, 727514110, 1020325992, 26794385, 162473580, 579112625, 565224204, 702367737, 666975960, 817322847, 611502625, 244851462, 447724218, 106882788, 464939029, 666913348, 497704381, 289865806, 33070122, 812421746, 571921754, 460637886, 498985294, 884866848, 324182213, 691355358, 129276407, 954797157, 661677047, 193718407, 180395052, 773437536, 836471981, 347556860, 868796036, 838592783, 574523226, 609433769, 915058649, 989113673, 661965905, 544215515, 353850774, 305132044, 789623185, 550864340, 255869833, 521326489, 1015608153, 677403155, 235341203, 82464636, 189802379, 89640019, 561057654, 204362434, 293524620, 586193465, 934695685, 437819265, 486912488, 299837341, 318267590, 142347752, 614592991, 683593133, 81513815, 497204164, 1001626273, 276770965, 612520153, 302427865, 290826524, 406922633, 651734808, 632338269, 641496326, 958455438, 188430015, 1059130910, 875721053, 412506775, 583520698, 224258096, 857386613, 313589770, 905129216, 797677497, 346649177, 906848658, 1004949778, 842275406, 692090043, 526330874, 288023700, 109703413, 339151766, 412208693, 734050582, 281369043, 739325181, 561221114, 288837359, 478882665, 901794655, 988473891, 316662411, 900170915, 8509908, 657456125, 826352371, 250482525, 592920638, 946422690, 167078710, 125038250, 363432191, 469595257, 411405252, 692991509, 632782375, 965500303, 487660945, 94106895, 33947160, 543562763, 876718287, 943657237, 898692432, 950782428, 8535607, 1053664850, 584739835, 91937704, 611821273, 337593707, 1000451190, 126507789, 878366689, 34104517, 77956210, 475901676, 219594950, 753373111, 558347855, 763834553, 222211471, 224642279, 675698044, 766992179, 467145082, 312021220, 36961537, 437024995, 637736423, 98444598, 866350109, 811987926, 1016039205, 446687242, 83536728, 144877143, 1030506922, 153687629, 2740413, 340078711, 668004050, 265667054, 301880666, 891684779, 1003636443, 540829737, 932239357, 136458812, 183462634, 18511613, 748403316, 661083020, 805141307, 7121072, 430381878, 153216451, 945436575, 631190419, 314315872, 463616928, 290166066, 1007389276, 71855137, 506551783, 520727731, 448790813, 856205202, 304828147, 813311012, 694805117, 132458614, 317315700, 611231509, 1069216280, 180928979, 1027487239, 576128393, 410724204, 914000994, 719926817, 87638696, 115064216, 948282827, 765559573, 117907445, 366266909, 364011596, 581587058, 878413684, 88526935, 603003287, 1035099533, 427541748, 403706357, 545138300, 989495622, 312796708, 227773113, 705297484, 410918823, 864141699, 1017184215, 295198276, 822234375, 406409781, 260301155, 117692443, 83915421, 382979345, 791188920, 484442449, 561057436, 1060537542, 388804954, 51717262, 389601386, 489073875, 496821490, 990736571, 193022571, 955258548, 654087206, 577316288, 735188729, 647645862, 1029481720, 421361192, 138957081, 576355867, 670977144, 1056952151, 990115487, 449518551, 211322908, 564816227, 702906644, 28412773, 494187725, 493551710, 975626749, 373193389, 940423875, 377842352, 484212684, 661717431, 29434367, 976841842, 524794516, 162791195, 94748882, 369648817, 229698755, 844540351, 762474576, 217491471, 534183844, 604540994, 1034491244, 2073382, 405284075, 614939938, 307363618, 1024870006, 355023060, 722691656, 78488679, 987822419, 784585631, 424238760, 726591387, 69992252, 889126475, 63305723, 414315565, 94396778, 634828133, 455876540, 543661790, 379478056, 134166211, 577147287, 661605740, 276991820, 1011723554, 118383693, 977867346, 247074885, 1064308583, 700039898, 419135381, 303993111, 101133641, 356646010, 413524737, 584854681, 1010237423, 35133639, 814985497, 24098991, 3721592, 85651258, 1009270827, 381774613, 561604580, 394251617, 860471884, 915353529, 382336732, 465225247, 1039459661, 338073848, 1035161415, 227877455, 453037263, 751248174, 532566060, 874389003, 73944513, 626060101, 289291590, 974645621, 404206840, 535924521, 583574782, 12615596, 257080679, 196722720, 416764855, 990972499, 338282202, 196219649, 789776418, 603447159, 565248611, 868339719, 130854341, 222823376, 576791407, 43581519, 798588837, 822219697, 193704586, 396104722, 80075203, 315445817, 680263986, 448613172, 1014931352, 911826452, 747629037, 261059316, 778773062, 555797718, 206424523, 337240295, 535782484, 460210428, 601200225, 442165893, 1057171348, 196929683, 546796447, 415350485, 564168146, 455374183, 369490950, 38722842, 221596214, 7707848, 454599266, 25342912, 753583583, 291565119, 152487281, 601148285, 611138688, 481917457, 156854051, 362786568, 264364887, 814545754, 1035694953, 806082887, 430988392, 664906424, 965741162, 979300525, 833707914, 199580871, 302343500, 877137034, 215214790, 298517297, 282369314, 316734832, 105634679, 175109229, 563984677, 277145420, 267917888, 642633617, 638144976, 644918205, 1029489334, 723360286, 854099561, 1044904805, 792172334, 136062643, 444442200, 952282117, 410116737, 149469950, 967024990, 530473045, 635028887, 137733346, 1024823851, 68199031, 569153831, 33975936, 437997565, 997896222, 991142067, 176894213, 856081469, 119054005, 729025034, 185074328, 92489803, 443458115, 908696237, 144640092, 540138243, 123731739, 628523453, 363362495, 903191918, 280530325, 367703444, 955657083, 871289915, 467469216, 389764120, 649073102, 748778593, 738354631, 877629307, 923739291, 544493999, 675958841, 319329659, 470133862, 426618258, 89585063, 878227579, 702952429, 264166484, 499051404, 257235880, 983226053, 752714925, 541690257, 501290760, 751577003, 236919232, 213763059, 883654832, 1046572457, 727526449, 480314814, 359811278, 812152493, 979496334, 113181416, 341601038, 810388817, 375436589, 526954552, 713520276, 982849605, 1048065478, 897226684, 942663703, 212562288, 917584319, 173882834, 216339, 753524768, 665590673, 552695381, 449952417, 18810687, 519588322, 483532620, 717185543, 977491520, 789247412, 335131848, 387385803, 188345809, 355853218, 1071359959, 860799701, 277265652, 992684384, 18545013, 731161707, 743099808, 1060880866, 989138607, 833751259, 944395219, 928475047, 357696714, 646625641, 263119448, 394669377, 756513177, 988550806, 240315679, 918967698, 338248864, 618372470, 243617957, 601906904, 99422415, 2238867, 667072443, 730171243, 228944529, 602420653, 848994732, 661096660, 504067020, 809856132, 568272069, 544557118, 69305910, 651439857, 349580778, 666028749, 573729610, 440821829, 870896127, 355407039, 187365131, 523517292, 783264580, 328482888, 248618218, 411657592, 896120886, 266673771, 213027633, 403234130, 969081124, 892701160, 831384507, 561393221, 396600696, 651891268, 67400551, 703616955, 772453484, 1023591724, 343681913, 922026108, 1030421233, 1028101357, 144649819, 733062054, 415442675, 961242042, 325836299, 649034559, 445617173, 940379451, 701382942, 1016375428, 869141683, 300853516, 943053541, 987649058, 1037538225, 204832715, 135891914, 801080716, 827594915, 10963514, 590286907, 1016528418, 277128219, 123788924, 730702292, 727387397, 995096394, 1052103708, 507935955, 465406766, 884306249, 762535754, 883555267, 712954023, 366108435, 714934146, 48457937, 105532301, 568232968, 101301786, 931845091, 1046072416, 946688371, 407547179, 255686530, 418120513, 439772204, 805719509, 644289117, 308909160, 332415770, 773025620, 250722075, 215581514, 884842897, 333307412, 425394016, 367558022, 81355568, 458342164, 493301320, 941709189, 871584940, 1070666946, 121680277, 77113521, 564428463, 940337142, 1069035678, 982441834, 594812329, 1028493728, 594031141, 254488558, 871324762, 1044746029, 187602524, 530877408, 912274670, 851085199, 594664754, 721653773, 607796690, 511558405, 792774157, 903170272, 216586790, 431419970, 351419864, 682459654, 24323843, 918963735, 453081912, 596644039, 1002950419, 758481859, 78584638, 72637895, 590497446, 448785230, 500304339, 751800253, 836612658, 985648616, 453505453, 344124388, 922085574, 163190529, 579952646, 731917056, 942848848, 976250888, 103208268, 943440301, 624759403, 474192791, 639122756, 13967381, 683207689, 445843539, 1043585427, 392228449, 579670553, 244143833, 1008378983, 485006057, 816115163, 385155862, 84823210, 382549783, 548528013, 765048944, 829102504, 236250314, 339827020, 41884760, 1013469900, 661997264, 70787589, 209591947, 976410115, 759909695, 1038319719, 704784001, 488142836, 49564608, 852729204, 77502044, 108292532, 393159042, 460913762, 432788597, 810688843, 53912747, 579981398, 628701106, 302307013, 732674505, 894039117, 233985688, 604481252, 784547695, 280308714, 905828520, 81993180, 437250299, 749430557, 365264317, 1040122622, 397895173, 133326059, 914601904, 531425725, 360831744, 182164158, 153679428, 905941077, 484837216, 553404822, 406163828, 771710893, 432142302, 104237867, 534558914, 484327372, 439918374, 585912670, 609150179, 566532867, 764282891, 426178521, 901153893, 784431067, 660245295, 243721599, 205705738, 392228532, 224955567, 454243588, 211985057, 434601943, 431984079, 654871672, 662387708, 111476907, 989127982, 262766348, 741578578, 572703787, 527033157, 714455797, 601850929, 98585536, 973525879, 247053512, 95088586, 936656811, 318415825, 241118826, 227861425, 465107086, 703897994, 14779814, 179892732, 864658642, 198084387, 173859146, 157854569, 494187093, 682064577, 862390908, 180013161, 30472916, 603786650, 299835395, 571959900, 275065709, 876255273, 625675005, 445376309, 413978861, 923734769, 359790539, 642971591, 675028956, 986767657, 573641209, 818969502, 779700457, 853621609, 381069438, 1064825981, 449070393, 621013910, 807282108, 447088221, 1013628333, 841753595, 104929807, 673918735, 754950549, 494647329, 707896232, 227137204, 78728315, 431981677, 67359056, 53854112, 424913411, 597148876, 922217053, 404583270, 60850469, 199939012, 619234478, 596878522, 315259090, 640859870, 575105354, 761120326, 262335684, 33040820, 198756791, 722870288, 173450701, 376160241, 192439746, 568026022, 906251762, 648126593, 442936035, 837401661, 643095016, 720893672, 176786592, 68604311, 35815060, 783861418, 678326886, 960199223, 556647431, 545001725, 777629239, 824566673, 716735520, 389049556, 113510027, 769465575, 756990298, 182577206, 703534388, 115837342, 897398281, 689599616, 873097300, 1048764013, 663933194, 750217925, 676169060, 554977202, 415128511, 412781675, 400382921, 1049867024, 12754220, 455128895, 256512710, 72172643, 305877893, 562578246, 867180653, 892864481, 959856270, 272056839, 114571175, 509781392, 372361744, 243746110, 948432473, 121920852, 541046302, 713980839, 802374980, 966564120, 942261705, 614862808, 281410829, 578738253, 1017971759, 1041948655, 877874566, 452024528, 598039453, 344380940, 154729032, 119894794, 9269885, 822427628, 385796511, 949026722, 829305636, 561874411, 973957039, 33699439, 84439257, 631499236, 739063227, 380950676, 623022587, 919245478, 786296540, 380203140, 993531010, 716822637, 1014877816, 306492641, 348303318, 168950996, 752059701, 66518453, 618060901, 967606436, 935344494, 5848315, 790996894, 64465443, 962195431, 937393954, 366557530, 849417430, 861519715, 876355762, 597822838, 386981178, 491539430, 254556388, 531274084, 856222375, 577032427, 579281048, 841426562, 1026965747, 916797759, 413448797, 777978053, 640820717, 121598047, 1037576005, 924402188, 754637953, 451532746, 333214741, 320285407, 87317281, 9518090, 311800735, 63646092, 828643678, 340208348, 964430823, 460445391, 940476677, 921948293, 226432020, 15928038, 288934406, 527576004, 1034435248, 139878458, 126349351, 142374903, 995321855, 21171194, 228567240, 737578861, 514090511, 106903949, 570057976, 731810408, 406041864, 173931572, 423365394, 999546559, 1044011010, 673796099, 165793283, 625527564, 400929353, 734474324, 954873017, 590684991, 86308582, 189609578, 684684880, 557772223, 445921253, 833158299, 238159034, 578635781, 587495413, 555619733, 359048294, 71623142, 935115751, 1028966226, 530354604, 277495387, 145297799, 251602014, 792939387, 1061619453, 688962758, 747570170, 263140895, 212108139, 463079233, 692866906, 10129826, 1030688690, 343057297, 747805916, 420999950, 396381864, 518958066, 436863684, 393361355, 778301162, 900289781, 536456588, 1033956890, 495559038, 981647090, 927849989, 525249984, 799671930, 633477423, 596254338, 217824219, 588997582, 813658030, 741992833, 137080410, 112003407, 664371132, 14868181, 170462469, 402171436, 772035914, 155516228, 903243551, 465099556, 957838562, 870979180, 758174794, 637617729, 331188246, 360439199, 133687394, 809989795, 922543424, 771023708, 80279086, 88317857, 591748280, 946172258, 255606149, 495400747, 263953338, 221240473, 905341837, 476122689, 814371117, 9874474, 246438212, 91557857, 772965037, 296030807, 286897393, 1062012621, 92960369, 919129041, 310425027, 960012522, 131033453, 979061014, 1025478505, 96684022, 996644712, 918100456, 401390252, 252817440, 778756118, 863000377, 439321410, 547382009, 736477453, 860398567, 806449182, 40338834, 682743666, 703426529, 716697636, 954677940, 501030642, 514525164, 708314424, 800341070, 497369965, 386902553, 279836947, 572943309, 967636350, 426751598, 156164488, 732792575, 740654256, 321540160, 744422790, 605814139, 859929287, 454028593, 1061741419, 695124506, 1068307441, 700833748, 540281807, 30995774, 93136617, 882669844, 477169144, 926724889, 208976795, 916851268, 19163998, 991907333, 614037461, 941856094, 9120728, 1024688025, 139437711, 668346175, 331396528, 902255907, 512195694, 614313836, 558980597, 1062761055, 36225493, 705328466, 215187575, 542635316, 371551139, 869861042, 423221420, 98686394, 499944605, 772507230, 862965469, 586085456, 1006429558, 911081395, 142521346, 1070589467, 365185351, 354919805, 688685321, 426534806, 29801470, 635060025, 505986446, 698394550, 614668156, 832762463, 831914449, 252886798, 604347552, 375220081, 515836735, 123389296, 526838744, 399785235, 172312416, 125367679, 412399862, 227049165, 955227973, 737126054, 624837771, 403445593, 780152761, 66980376, 820245632, 867112233, 1056536552, 886516792, 941201715, 625259005, 422846775, 604431603, 42517301, 797206264, 1052901799, 395111932, 1027903147, 376442663, 895525214, 185052372, 857307616, 133992621, 553028463, 549666123, 118312323, 846934122, 645567216, 837453921, 828411002, 616469702, 867797691, 1061823868, 743429222, 431292082, 491125693, 415455762, 838302568, 632768363, 665392133, 977345867, 875213536, 905432914, 1021217253, 800499588, 338444876, 195365402, 219488902, 892237079, 63443159, 440291939, 770691181, 837156577, 153774099, 436767402, 949810787, 30062866, 73708853, 125397475, 796221643, 532670619, 484149437, 282343017, 716020175, 532965723, 1065609840, 798989145, 581044322, 1034990146, 306394833, 449468220, 700609549, 602086541, 823266789, 101873506, 261124646, 703337354, 54695764, 410002883, 112197396, 1024993790, 638706914, 768045515, 451301236, 767686744, 172150426, 607419661, 477843014, 796596658, 553102970, 551401802, 531584195, 617575964, 908947940, 1061436904, 511614176, 303496606, 773971139, 881216797, 389609499, 732220322, 754962050, 53632040, 997668480, 1011851525, 509591620, 409365962, 154365641, 431843738, 414573470, 223059630, 810832608, 711856199, 973231019, 131952670, 938618226, 359311043, 944222551, 330694013, 1062300599, 242028757, 367022988, 333646034, 868597051, 328827535, 446984054, 402683548, 812330612, 793165543, 532341191, 482796737, 235741060, 951003188, 656917452, 484383548, 849772381, 706223480, 505330533, 568807216, 137739870, 748119504, 1011852784, 667281349, 640456479, 25745218, 518325768, 545560176, 863465584, 723384460, 612153827, 58106729, 146685170, 582141931, 1045881430, 633814738, 1064804222, 619958810, 115506906, 65294634, 308053917, 619060136, 180832819, 781956394, 1006171418, 783776023, 624754745, 1018743595, 970586094, 382765508, 124656206, 127119144, 671010350, 966370721, 961491470, 57858486, 960184815, 294316808, 785476957, 365591993, 579682081, 1004526906, 499916581, 1064575114, 636834871, 29264749, 816871000, 471248055, 650679196, 361284377, 373551765, 336012721, 147935426, 323175494, 859983102, 46575206, 520206784, 49982403, 231587758, 47608035, 978920460, 856709958, 361963648, 603338256, 800410272, 208772551, 414775071, 27319065, 1042538105, 1041015286, 589853511, 925870363, 1040830911, 816642843, 34689331, 355123314, 823054391, 290021286, 564007421, 533589425, 521897292, 937105074, 414070645, 1009017245, 427063513, 438912910, 673123755, 332683584, 255225028, 477957996, 498883434, 728539494, 797189809, 712778778, 166090919, 565241794, 44500637, 712110659, 106649674, 591452136, 626153226, 379809172, 479536492, 176345861, 1042496851, 451273028, 404857546, 298860741, 887212429, 1039827076, 940062455, 446469059, 182974664, 88921242, 836191172, 119252493, 791614809, 278122776, 103481049, 867611385, 1018722635, 396822329, 843372147, 1049537598, 272496771, 381501873, 544790264, 231850215, 971366547, 1055608789, 921241366, 229583424, 636861607, 118245810, 205871084, 396342695, 433251855, 93638213, 169278031, 394441673, 679956538, 968003408, 189620633, 1014128987, 1007858488, 50353896, 778006426, 218063565, 1066745745, 436550035, 608454547, 763508955, 254159657, 29830888, 410658813, 437088740, 735105610, 983925427, 836133229, 877519745, 270722774, 593007641, 461688987, 945434898, 748570240, 36379824, 1047204974, 155111034, 204546870, 730527886, 248247127, 536380028, 305673650, 130265323, 805646627, 464235867, 169274688, 766353554, 31640770, 192296259, 987646198, 970918167, 167714832, 602207456, 323395307, 123140978, 648810991, 479612119, 593856376, 972811989, 419956612, 806068408, 637102435, 417702392, 1007078560, 335532907, 171916297, 42067704, 705815098, 992509193, 205327829, 181598533, 930292635, 355492117, 393980422, 198867136, 934712452, 948336665, 65940197, 290120888, 963802176, 282491723, 601957926, 618002664, 232152442, 401775297, 582826413, 225245636, 565722782, 741061837, 409068117, 319821171, 735318128, 803922271, 403270783, 765542080, 898494878, 437384309, 207755974, 667786633, 368784701, 621509929, 68921370, 1039976075, 205452666, 1033718981, 383812014, 896068545, 217439954, 856817718, 697404755, 335315174, 522071783, 315652725, 863109557, 730671190, 21658686, 997201287, 809176048, 209690802, 311890506, 677664031, 679106837, 737500858, 1062849588, 16719874, 770818523, 674626079, 661176419, 977447391, 546255475, 487195244, 1022684392, 619168940, 166167518, 917307410, 454091043, 718042478, 804575737, 490328195, 229959241, 865552257, 361995202, 784702714, 370714975, 84233091, 731295385, 71237627, 724867607, 1033849478, 644670514, 806306881, 382323698, 510754532, 163570824, 586467602, 267329843, 656682868, 523755951, 905409026, 1034300013, 133861060, 494345687, 956398054, 238677282, 513806653, 1005886027, 105876466, 703954382, 724976064, 313356513, 970472505, 521429962, 107461754, 463708486, 240894306, 855050649, 761187612, 546032505, 569383432, 697439724, 143332794, 744428494, 450601104, 546677049, 839111189, 219267858, 137201674, 399867215, 805908966, 669855538, 949769180, 424478538, 420941056, 442614961, 204286246, 847147381, 472477103, 443908176, 841983123, 237250524, 227487452, 325304474, 410701203, 556905711, 553951069, 927316808, 861607247, 966057048, 1069951030, 966338630, 41038254, 734245103, 768566699, 89054088, 1036612325, 153889228, 470192593, 6548726, 186757213, 104535364, 796823142, 930625170, 725880541, 308994271, 734054569, 97032615, 1047803321, 428269976, 550394738, 782185782, 274461667, 696357375, 839521685, 965612294, 1053087378, 1053069641, 279653810, 1739137, 623396960, 402156123, 469299154, 28422784, 174585244, 93927948, 694105858, 5504593, 448593358, 574833106, 915483354, 959540288, 538164761, 1065436661, 521088107, 19964324, 589395447, 979511702, 746515888, 460983929, 745858126, 19929322, 949236213, 773812201, 581308853, 610073909, 317842757, 436072987, 570073598, 350588024, 235418527, 443389707, 381165586, 905218143, 892480104, 318067160, 916724281, 929612457, 307063566, 87933506, 164116998, 763117062, 526818091, 577662879, 1003954619, 630762177, 539119485, 904004372, 772771107, 513692138, 853506049, 207276164, 224804929, 817258739, 490732575, 285375648, 513620982, 1062110935, 878231881, 598957426, 366868785, 23745877, 358228677, 1073371380, 822067663, 534756344, 714255450, 138536987, 980837746, 779801389, 181049212, 620761286, 760414412, 844476530, 423747024, 377511030, 594727671, 457890212, 220962346, 595255033, 252767802, 770295998, 900626267, 137400547, 470828726, 898198063, 463793335, 774974621, 620393060, 486673704, 361167787, 161159991, 177485911, 790054105, 1023821573, 98341816, 206379518, 460494229, 317861904, 813062751, 849537022, 229566427, 596012956, 730589003, 52102649, 924013719, 691689731, 387378430, 141857633, 506631807, 788947740, 447036492, 641355959, 325369703, 144890086, 632523376, 560311196, 78680281, 1014949171, 647176466, 337503429, 634314601, 256739485, 1000088778, 628070005, 30876251, 636427959, 20389118, 510658050, 154678418, 487767637, 944513481, 23270097, 136819321, 983629724, 72001877, 566038328, 500952174, 224127247, 1069425110, 138942798, 377521745, 700293232, 100357329, 387245752, 244905595, 1000963985, 294704082, 127911591, 665690947, 1003490762, 374364672, 260303364, 950548552, 406407693, 515153162, 605999054, 753583967, 338454411, 439215728, 1071673859, 235021632, 922390925, 120379771, 552547589, 347927443, 381246249, 867867303, 627188648, 465615583, 258319740, 954346532, 507169366, 496806238, 289732233, 438131606, 637326885, 756364486, 86353308, 806204460, 479631610, 172189331, 350898168, 43175457, 718496607, 37879810, 197316267, 687897802, 327181131, 123050968, 1008341448, 94027197, 265155786, 369343117, 306791134, 689983670, 317946288, 811199610, 45008922, 999193988, 391056713, 979983496, 181546049, 911558785, 504428255, 611575358, 547884255, 1021965758, 200692677, 55563017, 512636628, 982989098, 403527427, 344444775, 944128896, 88582291, 914657686, 350264278, 64381352, 81547312, 187069973, 795231053, 387973493, 422774086, 959923265, 637091431, 75504444, 730371310, 206586981, 831388941, 769311787, 581270204, 168031173, 945109123, 1056471823, 485886249, 1056085590, 985763161, 431297434, 700937443, 576379926, 955105174, 1071707218, 825535470, 2446947, 439859947, 1001543827, 665217347, 1044809457, 714860642, 757987411, 117737727, 506482290, 908688091, 246628805, 646447439, 832369377, 624182243, 919038173, 1025811994, 1059902212, 863255703, 1006998479, 430991422, 166863857, 115533308, 457789781, 353211199, 701826581, 990456644, 245223253, 784746261, 482312037, 683854903, 129936230, 873850890, 797943363, 586781331, 924285786, 112932735, 175304612, 678490006, 950396519, 598728993, 1049479913, 1000678346, 870050895, 839746156, 1057969456, 815166722, 939604038, 178609338, 1055312387, 631862831, 547114669, 61559716, 725757353, 713234586, 603663926, 556248991, 763926542, 835795066, 390215067, 686004419, 10745294, 594273446, 135465161, 343085075, 25732060, 875446735, 516689797, 180826769, 155583474, 547864419, 338368929, 752465869, 862738526, 585121775, 683725248, 846831733, 129206989, 919508644, 864067961, 97266647, 405801229, 656919293, 793953236, 495625617, 1034999193, 215810733, 59414020, 747084070, 39486743, 791217643, 303615990, 622436493, 886409623, 705732056, 715937263, 370262056, 79067305, 32865244, 392083815, 488016344, 315333428, 1029690236, 93503059, 716889247, 952086111, 246512040, 696858221, 758702789, 725167753, 318181446, 487954209, 565918882, 346971770, 721109655, 670442685, 816755522, 36461145, 1039509338, 249014648, 743700347, 600277683, 324282197, 924167645, 562725327, 426389687, 331517683, 651328751, 1002213570, 449457082, 739736010, 224940649, 1019375208, 565270673, 227869300, 922142960, 680951727, 496061748, 412175045, 542707471, 233413078, 415876702, 280709051, 625093966, 794868309, 86352169, 158332057, 423926701, 711321781, 277491512, 639846982, 358542238, 791382515, 956774432, 378182412, 151882035, 11335060, 882985186, 426506633, 197665483, 468761028, 203403510, 462336854, 65781558, 500614066, 713697127, 745182923, 882516609, 16972131, 628609425, 926171066, 930019969, 82963127, 242851041, 967202985, 629821717, 41432983, 524963706, 516221275, 979326267, 1052355587, 706222868, 742729681, 730471042, 687512475, 29172574, 1026884537, 732969809, 1058448807, 420734120, 29093209, 321994804, 755492515, 667212300, 977546579, 716590387, 346107193, 365146709, 249664154, 146463459, 66273924, 159696396, 961484908, 392871370, 1070961037, 172789814, 817084484, 589065919, 846980747, 136223418, 581714344, 794734463, 334993921, 421142921, 201163925, 249906581, 629249506, 961149201, 1041065368, 587349028, 1012283031, 151540808, 106306841, 1072745976, 85724280, 892288683, 597302085, 841441836, 788720613, 757311569, 899582561, 20576140, 339237321, 438794636, 340807909, 267137538, 324655894, 666213391, 383179409, 672698288, 67256665, 2606769, 540061920, 234811307, 516730086, 315024909, 374324675, 316868623, 875382708, 303896063, 862419789, 607294728, 352999819, 247822742, 398570598, 669461877, 31160887, 976219023, 767091265, 665570350, 197765897, 785449238, 530967518, 313909391, 146575455, 489956408, 972432097, 74279724, 509747171, 489313414, 494257764, 459923902, 877546305, 639487660, 667378863, 169201245, 796567049, 112206227, 6193862, 961839924, 587573656, 514234979, 680519350, 971280897, 1066827495, 666624614, 836201186, 2411488, 386095623, 854998325, 182463361, 680637069, 1019777324, 399926844, 186321921, 1056949787, 883083303, 872146688, 503742118, 945722179, 484038493, 741288421, 342307984, 287233153, 931054066, 516306350, 847389379, 189518225, 391248376, 572000561, 1037593260, 1048692961, 732881794, 649511200, 577598573, 946695054, 654825604, 658872571, 257141742, 333650305, 596569339, 7990042, 369929815, 347775807, 68319308, 978048066, 918520002, 612210449, 886436723, 817203564, 781368065, 622175319, 831160975, 623429889, 420823107, 772713715, 202995424, 477785576, 18852482, 797584719, 730597856, 190557280, 355922718, 433970036, 357932214, 371024182, 110504707, 101409443, 72903936, 617878592, 834695788, 116618458, 791639802, 441947879, 643585839, 512443115, 936747396, 63439245, 807598066, 314232390, 186703173, 426832952, 176246938, 106185623, 87963513, 174515185, 191313402, 2328435, 995161648, 836264903, 385199493, 416202154, 874202020, 221232495, 230639439, 601535304, 347164422, 560810510, 880540820, 104605326, 51490143, 87795466, 278438178, 303176408, 320334909, 840570361, 873081978, 780716959, 809263327, 947016233, 206244030, 720878848, 573876763, 299055818, 314757270, 296887196, 140040107, 491052629, 293499517, 809304774, 52736445, 152290294, 258773897, 348275851, 222378151, 457923361, 842179354, 72197934, 539099137, 464854622, 1016194068, 755283059, 100710184, 976474105, 831943041, 197004836, 923415494, 852009663, 233117215, 953535657, 1004762490, 720332838, 995284237, 25599258, 152210003, 324667231, 777536099, 86866117, 306148428, 777201357, 773104676, 844066099, 627891942, 867647118, 996952975, 83454955, 749314766, 894326229, 770061759, 921311153, 941039115, 400289876, 38193322, 1070648944, 582371151, 237755574, 457130363, 583740360, 255268924, 118302576, 316680567, 580874947, 781041379, 450579816, 197522842, 208399685, 489974358, 238900136, 345903049, 808730973, 687965970, 710122285, 541270015, 639491781, 3622612, 201380373, 560409075, 1033059473, 1007181154, 712394768, 400947925, 468163481, 723478410, 984229648, 251214368, 562145944, 275908688, 926966323, 1018343024, 600261380, 141799178, 1020910181, 420086336, 896842601, 876167883, 434287766, 492633742, 84443507, 85866018, 265744024, 601099394, 689363670, 536162587, 959702698, 551052399, 866320885, 442945517, 806081733, 469655949, 337096880, 175075226, 797688046, 223100421, 999234075, 330819363, 800687943, 285851922, 307419130, 645354632, 410135384, 801317544, 739978004, 500566654, 561861579, 869266872, 486816672, 293273475, 218341752, 832193403, 310900388, 128639440, 211841519, 990065530, 999229733, 977837612, 420240345, 899197716, 937396447, 624820990, 546193846, 315549452, 627726304, 639967149, 370018777, 591059227, 967686854, 904517959, 1022494510, 960833361, 542724047, 321774312, 466576889, 371324674, 455801284, 27651824, 241697267, 789817972, 79684926, 542113744, 868790634, 799497765, 313440552, 968227949, 1055968534, 524116485, 842388775, 1040562934, 734278325, 10039139, 545517324, 531788702, 302376687, 560912630, 300901613, 996199577, 322739102, 974541870, 1072047655, 131745290, 796420115, 425563855, 398825831, 794462394, 696622676, 58100332, 481767660, 805318382, 360603637, 996169131, 1036563998, 630523540, 534325066, 647856094, 621862513, 442037170, 1029141384, 881749260, 1020330905, 310902196, 887579218, 73051348, 296099167, 598578433, 1045319430, 176429202, 930158417, 952401906, 212040762, 858280985, 414062560, 1039588633, 927736129, 1016115294, 934044321, 797877806, 487271950, 776850271, 364814133, 151417163, 443800223, 6738531, 147641985, 589550136, 327297171, 796707765, 816640737, 473536168, 373025941, 437400435, 297830206, 555504020, 227194357, 152030335, 660488324, 265347174, 104684059, 530610894, 145345835, 835224462, 954640922, 231862677, 30475382, 306528818, 632657527, 830759813, 227769427, 159313283, 100553082, 964221503, 5184912, 922537204, 643036314, 973076388, 526337001, 286362094, 825173692, 336348261, 194649217, 895915044, 761247463, 419346048, 187582488, 1060724290, 875172007, 260203161, 899784371, 367640387, 778548808, 408672827, 581877122, 974678909, 146554470, 890302258, 440867716, 72169026, 28527461, 645033250, 713130096, 219396604, 181292631, 548473464, 4377161, 5979754, 812487960, 376262767, 754385579, 339101971, 984852156, 1014097343, 106737975, 77838817, 35110915, 619700451, 841772298, 944976764, 833505554, 560170080, 824663387, 18078722, 1057333774, 346173234, 206067571, 183728058, 265004780, 328348129, 1008968556, 777452519, 267927508, 572988559, 726229953, 1068058173, 868536585, 297244976, 17928749, 361958683, 460611831, 328669226, 261471236, 510406676, 1047612017, 507983614, 84766757, 326025360, 56146433, 321246636, 851961397, 843893954, 236400214, 694551106, 613347140, 593411606, 224122973, 932373414, 326951665, 70193544, 608451339, 793141468, 70147750, 452206412, 532330026, 159820569, 928674412, 222837078, 934510607, 829100507, 1055999173, 894254191, 351032439, 867260220, 882936179, 424003325, 996964685, 555367870, 496401805, 437781648, 746528388, 487183811, 524160006, 481496178, 1051685745, 262875591, 337452983, 1000050915, 1057664216, 78590896, 969739501, 176439480, 937157933, 827470757, 497396353, 774945155, 67993585, 430036703, 667533062, 282053174, 753823875, 502145909, 833557298, 874866496, 105702595, 287058992, 850174149, 773829116, 955335297, 955214087, 745757729, 936548180, 57106021, 838468979, 283586772, 301049902, 1005580358, 592723724, 117957145, 977771950, 433742752, 518874508, 371988020, 673008931, 388827305, 130282808, 154666633, 592607541, 268172420, 880094777, 778029978, 979693525, 1022521954, 1066372241, 242756779, 312949107, 923700410, 754318122, 764814165, 1064195351, 265805000, 771883148, 485936416, 779518537, 232201616, 156305168, 604790370, 465432053, 907427532, 851698540, 455860216, 109170158, 410449985, 128388203, 241769361, 896858741, 175898121, 663376510, 740014748, 970489129, 182087775, 60824147, 577612043, 856827788, 431501838, 379423403, 473528889, 543402308, 253335716, 220103595, 617207863, 92201906, 713831485, 877257973, 459467808, 693382929, 645128838, 401753180, 1033748669, 207918280, 1040529800, 878983318, 1033348671, 5844431, 615687835, 503936859, 629562264, 20746289, 709056454, 289244362, 352378116, 7100329, 517068575, 950194422, 64502359, 18586737, 346633293, 610315713, 330613611, 787191250, 180075454, 686281801, 1045090744, 405952372, 451610575, 867606806, 825407179, 403213989, 358436875, 280673200, 214157444, 609434030, 99151982, 83600728, 1050555683, 234417688, 384124309, 1067823509, 954477177, 907934273, 563309846, 625740358, 350779838, 163646591, 815389615, 701684609, 397140240, 20396136, 1028162223, 652817590, 778521876, 1041724676, 103997273, 519181314, 844290179, 708767554, 467132212, 514381433, 476201566, 312284456, 263275644, 438344104, 399036779, 446264915, 360196480, 336916078, 627250378, 868932500, 888608074, 407656868, 780209257, 699110731, 833690262, 816677416, 343747714, 28597655, 647040084, 143707198, 830397421, 68526130, 434772243, 216123259, 491597323, 703735438, 1014671394, 1033126928, 854421453, 832518726, 518287203, 657098362, 600250849, 719305086, 44610047, 594776124, 548684474, 597848007, 910465645, 841401130, 66463401, 604130273, 9497276, 1008043214, 568077881, 560807384, 600040992, 1030435618, 148964440, 923940257, 270446372, 815937317, 259831077, 630873067, 370591719, 497560347, 381028392, 152473706, 860960526, 272301238, 303538128, 628390029, 786480632, 550067528, 61508241, 837034354, 620236136, 744510146, 714238281, 566606189, 781366722, 399021935, 290144533, 820826669, 409490706, 7099723, 958625714, 911049320, 379355383, 114978576, 374649096, 828823074, 871824288, 220768109, 312276145, 777907393, 364746481, 825000007, 174096978, 447754985, 780362990, 504132890, 353829321, 182131484, 511098967, 675122864, 982357315, 737525456, 359964655, 930095739, 654486315, 895065870, 495129026, 122333143, 563376252, 285013005, 964880537, 513200459, 907589682, 1011294103, 32272324, 126983186, 408782843, 413491374, 27678670, 109372345, 589309395, 129459963, 833197102, 915945138, 907905101, 814768677, 682787516, 968365145, 271347503, 370907848, 840766509, 142773207, 899113460, 1054241299, 5980015, 47275157, 939350662, 497851744, 875301038, 1009555280, 745007792, 357281936, 12351749, 286257392, 700686708, 262963118, 269475003, 896241881, 315258558, 77381140, 238290851, 352268201, 863063366, 151318844, 453889438, 149158526, 399533687, 765053282, 634758240, 130709421, 67444810, 438012995, 806151908, 982178030, 889495302, 844488472, 2097304, 995119554, 404292718, 749397375, 312070901, 748408468, 579034818, 682147964, 685755560, 1017406482, 67145967, 845410337, 891115783, 1021011939, 792060472, 12893857, 1068374833, 116278421, 459499871, 602838003, 50941514, 44840715, 876658297, 939555142, 30430599, 1050035542, 625720783, 215885690, 1038062635, 913020085, 196281509, 565803526, 750812500, 246226100, 446480422, 630626825, 1011415515, 695804419, 164338580, 121942569, 641658949, 782536624, 178322227, 538803390, 67236664, 342336991, 1064542109, 1071984637, 70418126, 718899984, 525724386, 911582518, 240871899, 960912156, 655258241, 106243859, 610834074, 447003034, 1009447623, 450838266, 888412231, 966702673, 167867042, 608072088, 361614839, 110113052, 839864158, 432155063, 636695168, 383139001, 405889194, 964674453, 811038542, 652074229, 662281247, 164897547, 289475494, 962586699, 413819965, 89059078, 268866051, 397639510, 922324088, 972437150, 249457054, 539635253, 355932986, 835387055, 345368106, 856134357, 456673999, 353193603, 732697337, 944048145, 479383653, 151443443, 1009214222, 409737777, 932555221, 216008792, 645770363, 438432433, 453855601, 365441855, 412013680, 540285366, 339435106, 984154370, 658058039, 62013667, 672984437, 767720750, 894896314, 701542797, 537574596, 748493490, 52274122, 443027530, 959802971, 538305792, 467043884, 41888878, 678445086, 282949628, 951313566, 190886996, 976669081, 824116674, 147755884, 941538703, 779150309, 395555554, 670483086, 880117188, 140139988, 728810065, 1051262304, 157604195, 461805050, 157131215, 860665979, 740501931, 909454894, 120181620, 309219713, 629433243, 87383677, 1010372635, 1064807667, 245619587, 585411248, 58368379, 331617143, 1042705430, 567675872, 1067127441, 179946655, 559066279, 252850750, 660817612, 949424023, 692834212, 650107195, 828270181, 579886593, 877513684, 919286919, 880778418, 253480435, 424330651, 814387875, 244988933, 194796156, 105020680, 167033516, 464485306, 207435559, 138299424, 1035807881, 444703446, 929200657, 425434362, 666424862, 513695517, 1022399141, 762171256, 512476050, 849547706, 47174865, 1042330748, 952550320, 131849478, 893040601, 994879358, 4858738, 387528206, 35193009, 5460920, 237862211, 448467663, 116878591, 1073108573, 978302281, 957118062, 119684209, 683422807, 95588573, 190725170, 374835677, 493429413, 374029007, 1029016520, 77890001, 262888509, 806248107, 180040797, 614200653, 246401617, 468803035, 718204896, 362617944, 653742374, 243970338, 799778395, 436394186, 751261878, 851149846, 118206024, 579047039, 838746123, 953962326, 869173982, 608146221, 953590345, 560380608, 846326537, 75170689, 2822902, 970431231, 57230958, 82028448, 598290105, 936266443, 508150421, 1014954351, 283230176, 419271985, 584566966, 362428721, 252733325, 521398399, 705057205, 945156636, 993255016, 864614878, 179990800, 809248356, 312721052, 367631379, 137720956, 704092635, 705693195, 888656707, 110759498, 322970183, 895695098, 925285721, 1001452220, 65033707, 213662713, 472962927, 174423250, 646467270, 867004629, 689604704, 932700477, 549574974, 939431669, 169330385, 81644555, 998459603, 199693372, 422091826, 904107180, 326822027, 1066418967, 398984378, 856989249, 917763878, 967107238, 104225738, 382539810, 426240772, 594333720, 954150460, 46858586, 667292125, 408337763, 1033808811, 390270643, 1058807135, 875916536, 929105723, 347217618, 377156812, 373346110, 421924345, 295737571, 385807048, 494653898, 141738272, 450297070, 355402516, 456815336, 427639312, 443863882, 437292931, 932147278, 1023635416, 378984302, 768251793, 567649561, 615347689, 718826733, 525510394, 160256137, 268217790, 397738529, 440201076, 722395762, 446812192, 306781934, 916813532, 897017905, 323612191, 408377000, 818495995, 20791104, 843881948, 426794363, 304879178, 609324504, 146833797, 926836004, 985800254, 617918015, 91233898, 473264305, 682231674, 84446558, 847357936, 209956694, 455138667, 797993222, 393407483, 152357823, 351858744, 267022737, 588202643, 622152344, 915274499, 778275274, 146304875, 759762286, 310580144, 8529867, 195077093, 695919414, 200605810, 678817789, 145815109, 38058303, 974808689, 536402820, 795520473, 909680847, 535145133, 685672258, 313643047, 4512607, 83462483, 451913268, 543768904, 267537778, 151316057, 859101703, 281056772, 75757356, 641970589, 914501629, 898845409, 603390025, 615660699, 737752170, 942852733, 197885683, 571233024, 416990908, 887397255, 372830203, 499483601, 101211999, 1040261403, 677440451, 152324021, 300683587, 208304772, 901620550, 691620390, 583605585, 164138060, 447597514, 573996170, 123271223, 87339622, 104644884, 501778422, 914464881, 6881937, 967799124, 547409231, 680878289, 639927125, 612695695, 819253741, 819694405, 658964528, 1205647, 721685393, 571323752, 703578254, 839512256, 366174734, 193682666, 467642027, 644619708, 879179167, 540580841, 953073772, 809966482, 664373823, 131770063, 238265289, 609268371, 988134381, 933167363, 530761678, 141140389, 143134804, 624967140, 29606760, 51016674, 316077392, 1045090405, 425827047, 218435884, 636197923, 237458508, 367559938, 1014505242, 993533938, 108148178, 520453421, 896314965, 187505660, 370293014, 517767288, 959296551, 152256561, 460734147, 432577556, 327209041, 3675733, 174418955, 617180662, 796106627, 691919474, 516099438, 849563453, 904446718, 498018234, 857232438, 1026589370, 1071998959, 289319459, 81740170, 597980087, 851254618, 710756863, 335387422, 717146821, 583210022, 1056150977, 592725747, 171867252, 410588736, 69117622, 840956104, 359564374, 358999416, 446606652, 400179025, 48299180, 196533641, 626232939, 950061682, 936051218, 678075872, 143548463, 671472332, 596714512, 174085039, 31115868, 752747827, 994050845, 742706610, 214431684, 238645297, 434994197, 117602433, 99702179, 302230161, 270544102, 541735834, 218319425, 378244276, 452470644, 421192612, 1022380677, 1050200286, 110503713, 677579331, 522220522, 298856520, 173919721, 1056585802, 456378269, 1070640108, 463557823, 1041768809, 764462071, 195841708, 173178068, 898371150, 69436073, 1008719015, 467280192, 729706636, 1025632879, 142231962, 954191817, 93566150, 786828801, 632138719, 763414007, 30157452, 7086415, 182632502, 171543940, 1069941471, 409371239, 363794433, 783899282, 644240440, 792548911, 83845633, 916881067, 224199544, 621388519, 645318979, 723416130, 125429236, 753849881, 487511778, 514827808, 697962183, 783937271, 491430465, 1022563732, 412070318, 412771012, 737835920, 501600696, 570249007, 1055166548, 611344968, 632887208, 474295106, 190314610, 536369572, 961594095, 514262362, 677233333, 654275021, 134281537, 926598311, 660543825, 610688124, 634285590, 861768658, 636893505, 391699800, 936473303, 182874717, 320997810, 862044237, 759816090, 857149263, 254570002, 701795460, 755633006, 565360379, 509683713, 694811695, 714951357, 66808512, 918390246, 1001070621, 987428652, 500630654, 77768876, 1009306668, 540819494, 185536384, 898743165, 646185711, 449667871, 997563148, 261719638, 1007945899, 169915189, 1021238875, 883267482, 657432798, 568472137, 720824881, 215446882, 767436686, 99570803, 29070043, 514200494, 823919930, 797439329, 411313025, 586479980, 920748631, 309926732, 581155458, 248919115, 245388666, 732822158, 92616878, 780797509, 597913562, 726754577, 421460253, 228752483, 215610365, 734906148, 433442420, 1051163108, 861803484, 1016908991, 787947893, 675809480, 708863901, 693740391, 113948386, 382529232, 60385447, 135773170, 117300517, 336576926, 733604785, 681386946, 954743120, 1036750476, 105556436, 698753040, 66965122, 184367965, 81714577, 809385574, 1014212223, 274577859, 41763946, 744940129, 258987337, 477895926, 698469411, 1029948574, 131781500, 308917398, 641687628, 1003961166, 487342248, 915290789, 524810524, 845998452, 167675704, 993832066, 286497025, 92639378, 294520489, 14399976, 127104845, 135260003, 57441220, 865919159, 971904174, 170755721, 627859098, 22710778, 62439507, 791248592, 1063343860, 245553387, 714728273, 1037767697, 183129756, 355885705, 820762436, 572776375, 529072639, 24703428, 299509857, 1001846049, 585234120, 768656495, 164980488, 343208763, 552324970, 796609548, 872641888, 520997872, 945536769, 636009882, 1055638833, 588759304, 572120528, 249716981, 364219692, 639819144, 1050587101, 933438352, 426612671, 291284034, 480541645, 576162314, 89344851, 1064683491, 695497611, 523867333, 321364858, 575731006, 594437218, 341913723, 468025691, 283376568, 370015146, 421764388, 870751234, 438626745, 288121938, 7659114, 643808367, 555512389, 1048801497, 251670350, 67526703, 984969219, 671406056, 468986253, 1019208279, 513385639, 959536402, 912439157, 296348073, 918779009, 645624707, 957619942, 348743367, 305061149, 1007005606, 426971779, 90263171, 500722627, 1005535824, 114885378, 565892227, 239493925, 245138786, 310880944, 425506916, 944000367, 93370183, 414712591, 137445998, 939219111, 935737993, 917905668, 450026169, 53051938, 38851019, 436757443, 925215880, 528639363, 1005895610, 628816220, 48140075, 754559025, 148851172, 421854842, 1002466016, 90997805, 812075908, 290714124, 115551334, 913439604, 300307790, 216050511, 296330656, 979597073, 827084646, 818888939, 448031240, 604047381, 627566512, 674628369, 799558720, 316710446, 125332783, 279317782, 661050272, 518405212, 643384747, 841652714, 699826691, 64681177, 903526658, 458557276, 1035589173, 366737855, 994910120, 813147042, 541564474, 525969681, 368281823, 444863348, 804641771, 712097747, 802135968, 467696525, 223057973, 142138534, 1006797331, 815130657, 595961122, 865397855, 973485348, 851739081, 525399616, 529067598, 667855182, 672541369, 604228114, 1070254781, 836734697, 542527162, 695143060, 377483585, 268733924, 369614724, 415813583, 315406759, 398593388, 439822223, 974933191, 377372592, 502439902, 169508372, 433187984, 162252128, 681472927, 256138778, 409690383, 368175180, 396601803, 485190390, 542721550, 797774529, 900571240, 83961819, 659106922, 2126304, 849501808, 937398353, 29581098, 1034974818, 79230381, 440273184, 138790403, 745205285, 703235785, 110863166, 527308867, 229011372, 583997916, 1022370716, 14182173, 755425670, 793623200, 44051000, 261649788, 2117181, 956744621, 308850760, 419729185, 707254213, 58851713, 272309749, 288598104, 237036966, 118921454, 239327923, 897473399, 697742027, 577268543, 754119742, 712410277, 688955983, 216516132, 521987877, 340551518, 711964926, 7767097, 161692961, 408700154, 1719309, 313965058, 688755414, 704059925, 929947429, 993960923, 847392910, 128514638, 799785359, 1012751609, 899030201, 749227078, 205579685, 309304573, 660919483, 1004142460, 43374686, 816328981, 728914194, 511736935, 433064786, 704537407, 537082422, 243926814, 21221813, 29663172, 211311133, 1071597837, 637245859, 427427906, 744811131, 780854502, 671290670, 606467223, 491299699, 554208391, 704213933, 162173090, 776110534, 623955176, 996964836, 87499573, 38939370, 825960522, 958652184, 135704252, 248288926, 354477051, 230661954, 62465950, 363996524, 238810716, 520324844, 748781874, 360570750, 850645957, 247291168, 994811091, 1006016432, 359058574, 200924494, 910675592, 170841351, 617765163, 314385986, 656542771, 670214094, 177518383, 1031786199, 628158752, 152987568, 631622801, 601042867, 552252476, 1040589817, 438596018, 786385289, 923428637, 111554837, 743931810, 817095771, 504692352, 398630201, 166472915, 590665655, 224515387, 163699662, 469120575, 679441674, 673158459, 654807111, 1029813565, 890097150, 188689100, 971447021, 560120833, 947534544, 70372116, 1044888078, 334968203, 264229219, 1041034255, 275210809, 154885887, 816868619, 1537050, 876701566, 205373247, 253519415, 184319377, 687948109, 807833904, 976276208, 1067008561, 681928502, 559958969, 146459698, 962956905, 101519755, 512240719, 188590275, 874603930, 491862934, 416105095, 643014741, 826038876, 404392038, 973960449, 877544662, 320495428, 628809299, 242017294, 580820989, 302078573, 867448670, 502285710, 363018253, 313269175, 262278506, 193412014, 440875807, 305970986, 795909375, 910066253, 72298499, 328756248, 666304326, 1040724384, 359023416, 287171371, 57665782, 1053138143, 882242753, 373546080, 843601265, 1031418456, 232054906, 516364686, 86605300, 354635158, 377675671, 209202663, 796599447, 187059214, 450249752, 672872443, 941893493, 397747265, 1027424544, 428148132, 638173281, 644258330, 1025429929, 137975856, 996006060, 965201477, 820928853, 810221483, 669628538, 342473697, 1064259387, 975142709, 527479476, 356660259, 376769154, 732606869, 1052955738, 796152532, 534230103, 1023386007, 565034027, 163935030, 733533944, 654733521, 745586824, 450973804, 979601523, 488283087, 209238412, 851727120, 763063644, 887931220, 1051087774, 274469741, 913592839, 436030123, 79330542, 888772237, 846650065, 1011896035, 399463052, 816299616, 67391377, 130376414, 854765467, 418236262, 169392290, 849917084, 764906700, 733074011, 1017839981, 174052101, 752152916, 1068139086, 760451260, 284554774, 782885996, 324507506, 619521403, 825017872, 497066116, 49882051, 495266797, 486232932, 432158370, 45032214, 841309570, 311422903, 995072443, 222092646, 570984449, 936780422, 1052332124, 405595757, 73343857, 253637083, 943273950, 320376865, 239730210, 764566752, 420104941, 906672044, 948883499, 952927487, 770959401, 1060875988, 960215875, 168503538, 196837323, 66252605, 461017847, 368178122, 826183554, 782397991, 1060871813, 890426048, 119963126, 526061711, 196120352, 413948543, 100525430, 82278113, 623123070, 568339293, 456460920, 424423439, 358644674, 209534310, 400568988, 381102823, 957709791, 572124498, 273286414, 167376340, 212122811, 776128607, 187046014, 859670076, 513723646, 157469941, 154586967, 393800268, 334960135, 160293942, 706353289, 455028384, 144565725, 468767138, 643202981, 551065356, 1045320925, 794314785, 419201946, 285419901, 685357727, 756706352, 28425958, 92736581, 286168741, 966828477, 296454772, 724023599, 638387207, 448115736, 862822782, 856018064, 232316310, 127113932, 88733816, 884155279, 889074957, 735913320, 220081379, 19918705, 1058983008, 813796717, 294031759, 904468383, 74809980, 381403290, 910275780, 105353941, 845465675, 374019589, 21274972, 436597329, 533613572, 326128685, 530009405, 10334206, 797363141, 703135923, 175238764, 440437214, 141479715, 509300273, 1022901986, 387065303, 863404943, 702597751, 558292772, 861892034, 859522177, 537515484, 52762697, 996660962, 901097555, 126970969, 1053468681, 408355262, 239140629, 997168367, 127414335, 339987364, 1254887, 449612541, 302746744, 706841129, 960069267, 363994930, 956321384, 559940693, 997472938, 303053610, 305056505, 789121250, 136665527, 257848139, 468215954, 583854165, 1033845002, 393437410, 403353056, 248189136, 592611501, 31837956, 947922976, 793693895, 810276190, 156132726, 358279983, 298494316, 901086332, 792208308, 423965922, 601640967, 284697951, 1004759292, 364232057, 1022776139, 118965682, 80409880, 706249472, 1057991202, 501007482, 809591336, 199814748, 743553329, 422744667, 743406285, 1041737812, 32491582, 553108671, 233218816, 395364382, 337398659, 67782178, 202641194, 557476928, 322275258, 638329826, 198066447, 232654894, 125279925, 377503337, 884802588, 178919007, 541411774, 506136600, 66262100, 1065237621, 1027910661, 658402151, 166438099, 125603507, 82674329, 360299688, 229392854, 444017404, 878034024, 417324032, 845029174, 337794791, 360579348, 927773753, 118268657, 41179660, 860934947, 729478034, 20214087, 760032659, 562007094, 902022297, 277654977, 274687732, 49317995, 761910891, 339350811, 921781979, 944724146, 530558786, 391707072, 667576911, 532290974, 718297455, 1056987854, 175225162, 900133706, 828472770, 721891422, 495334640, 599528530, 548435525, 927029920, 519364003, 376938007, 634040286, 974249161, 1054917081, 852854292, 268816813, 382794114, 125599736, 427437430, 896121635, 86404382, 655493328, 650002891, 264862378, 612986384, 125963417, 739704478, 594067971, 410394994, 123505359, 1019502662, 330916044, 943271827, 768892320, 370232686, 932432832, 623366617, 270954336, 497981713, 700615455, 114814136, 293239298, 391598427, 704326941, 338966294, 871430137, 777159084, 484248809, 7173777, 831562903, 847854165, 588272387, 1010349331, 233739901, 556863186, 258899388, 959487800, 70225942, 952275173, 375757290, 586473439, 674882713, 47507861, 372805459, 934616861, 455071434, 221902160, 242357024, 703262535, 741717768, 702086801, 809013806, 973638957, 913751379, 893391479, 427190260, 332844299, 902219391, 864073637, 511941484, 801761355, 191936476, 85158089, 1032575873, 596839729, 797998815, 1047441737, 934788284, 1060655083, 804685127, 623092827, 727904848, 494007012, 904899766, 399678207, 479707270, 461629992, 433232642, 128060816, 245595712, 220787453, 788373618, 920350216, 344088275, 122676645, 96734536, 1073043821, 993461198, 581354420, 1065937991, 347545044, 777901960, 927062752, 479810789, 337378757, 519742271, 587065976, 853663232, 423487366, 673160727, 778222102, 443703946, 899178487, 938340048, 926281051, 401154127, 864772584, 251804594, 563353600, 131477165, 348422495, 546597381, 994589203, 744413087, 998467798, 793753275, 762717644, 193665546, 1008109088, 875206745, 728007716, 470678340, 96050829, 256688500, 248587396, 10460473, 1022525186, 684772052, 413745180, 910544840, 69610719, 861070139, 796155741, 648292463, 366280558, 65498399, 130258825, 990131485, 748515791, 928750735, 156305519, 706561570, 222211597, 345397139, 979439736, 834869560, 523665214, 852377789, 758424193, 20838411, 621335394, 558512078, 316411118, 28692471, 584883453, 843465406, 421215019, 849195905, 446803402, 679273149, 996846491, 116237509, 277288319, 475661166, 326813220, 707077323, 291903685, 324880662, 86493439, 477205053, 893751703, 467372434, 121626841, 750020778, 30554132, 935345216, 152533234, 645798454, 531690639, 388873744, 962047881, 231229339, 694536003, 894821175, 606727305, 806453564, 674372125, 1028420544, 480545251, 48454832, 706842018, 46137844, 407031663, 639713941, 833531108, 804291361, 920916913, 957636551, 948904853, 770529861, 58664018, 1068375235, 434265395, 131408228, 850469765, 566063806, 940515165, 492043046, 150007978, 734935253, 152491534, 95228402, 518702357, 1008260641, 428667172, 802593819, 544532299, 601614860, 297724991, 111011900, 667419827, 1057676956, 853799183, 7260246, 885292616, 174220531, 1014580031, 358504386, 1066723324, 517767906, 508931970, 508959745, 589752525, 479759012, 951637709, 110854969, 1066132381, 983274413, 412054779, 796904564, 990748583, 580240581, 1072923939, 873329004, 438008340, 761970428, 455408517, 792941024, 52688695, 135986447, 115897937, 687874997, 20558788, 807400030, 29592595, 345684075, 732929814, 841218841, 81746921, 481365327, 270096437, 617780222, 277661300, 115361794, 935954828, 162475326, 375888178, 691450029, 320803207, 801176929, 734461719, 666803007, 664269796, 27890153, 675926376, 391174474, 402342148, 465628332, 640880327, 398573449, 231643182, 20588759, 114011217, 808917817, 723283992, 299133652, 221811333, 672855322, 118430301, 1038815359, 186416718, 847241443, 194093521, 1022744043, 514367762, 769522310, 88433779, 190607037, 787096669, 298887294, 36800825, 105582334, 269190406, 542401314, 217869581, 575184148, 602433632, 840725326, 918123449, 1009192491, 454347963, 557162942, 762797174, 600535103, 692059163, 47511171, 1009364342, 208269570, 960065486, 385365425, 177183912, 852260010, 107156212, 998103626, 805660630, 468508662, 613619456, 4830872, 351332419, 891965496, 437745088, 1071649571, 580325316, 239441889, 180646997, 546096555, 273315866, 71199327, 92251891, 947007898, 641879794, 636680720, 835096430, 432665425, 619726269, 295378058, 85077504, 1016552915, 392510611, 741856322, 341687061, 571268074, 220015172, 268731178, 76136898, 41739457, 226524360, 913510106, 108147845, 660648107, 141942946, 328486092, 13966686, 840533876, 801289062, 796230557, 699477487, 891494366, 683423062, 198337772, 563537474, 122883081, 80803041, 550251116, 1028795370, 445674953, 993698982, 950664314, 1049355468, 28056558, 611435421, 660732339, 1072962418, 655665931, 934186433, 327929012, 105660921, 553885027, 673612106, 735155186, 299223525, 161778214, 613731251, 910802046, 637807652, 161766415, 814527587, 335481654, 821999074, 432297246, 777692327, 249634968, 661530924, 152282840, 290351297, 434933284, 359067907, 507701820, 102730119, 325262332, 819836718, 880434193, 154145530, 39646508, 700800543, 996212204, 417924457, 406309021, 89056677, 889367585, 73059822, 206331799, 985176802, 916759082, 803268152, 781597024, 787887496, 572065208, 641269383, 652802867, 449238872, 413510639, 746262838, 202478123, 483346377, 817590640, 949971585, 575359230, 881964617, 305495117, 665128432, 116241952, 917593666, 1023414317, 3428944, 829347902, 759740123, 6621267, 1020252018, 1065017758, 600376923, 108133677, 42858045, 25502994, 354586114, 489396469, 181458998, 726386634, 152562091, 26177341, 1056506482, 505771870, 116351911, 953184356, 88868569, 197390140, 291433837, 460491585, 819458227, 429475007, 590642641, 890602593, 83748006, 377896981, 394929743, 746278869, 95755305, 22992817, 538319455, 345168404, 808822016, 312317405, 747988113, 1017508533, 828993975, 208258876, 630851057, 332574558, 833923069, 129654322, 104979254, 521714362, 274964820, 19230540, 319847784, 660179699, 812101376, 213379955, 540408135, 667593, 882532202, 216047988, 281818785, 1005907381, 981658105, 973889074, 775147604, 985149602, 592798269, 1045354976, 629278398, 1061398250, 243126660, 88374605, 224023845, 104560899, 532060600, 794952741, 309748107, 922379579, 72476361, 106632221, 953433317, 860959948, 1007896492, 979025047, 623593115, 900734289, 571033376, 315584640, 410600930, 645461698, 145008005, 666629174, 708720137, 997434286, 348900974, 585319534, 504340061, 914885426, 939673587, 236750380, 330057810, 187426437, 362900059, 574506346, 703387690, 773164869, 365383907, 327356166, 404591195, 474545195, 602675742, 272699454, 673747566, 458303263, 817330184, 332938870, 456168549, 743799368, 968475519, 403847209, 200948975, 380719490, 1071997202, 850524382, 689257368, 84570008, 733993224, 693575364, 206021692, 469214588, 39525564, 99880919, 179167943, 487503524, 612502426, 1019666995, 414864031, 513318827, 348045179, 620119667, 491751119, 488343171, 416669953, 338400415, 704145806, 591086393, 590842041, 868310932, 881188232, 844680838, 197993663, 792402850, 749248923, 447032786, 471304429, 241098437, 625795662, 48992702, 385247211, 781522750, 165706838, 545437985, 15675052, 396577126, 788341899, 983709481, 89701219, 369884916, 485061778, 459649001, 622068737, 195543779, 280264164, 725581884, 888876970, 54543706, 519671761, 1017001458, 574344827, 148828223, 125054541, 447421088, 996059260, 485244595, 893861770, 873100284, 408235578, 315109236, 631141080, 329606762, 70080499, 982292590, 1026403266, 350530148, 466425910, 996544185, 596344973, 606189760, 221442266, 447315359, 145207556, 775572731, 22204121, 874037046, 797848360, 623975468, 92471891, 278979501, 373469892, 724164035, 656369534, 591677658, 791333086, 715452146, 787963315, 126976977, 1044766218, 141255535, 550656211, 750980891, 1004806585, 185158773, 189418309, 742145323, 108234437, 56359209, 631213347, 727615425, 882445766, 421582441, 652818888, 445808741, 658749300, 814111987, 524759714, 715971218, 691284704, 76316717, 1044503019, 243628840, 248234152, 423812369, 570999481, 901105489, 1055820992, 770275897, 806088666, 242528666, 466721508, 125450685, 95051404, 925027100, 363087228, 285089184, 86042794, 1024823652, 569541859, 774850335, 575237575, 854389930, 33825098, 398765008, 452143736, 755813755, 411140196, 480655526, 691757068, 181357992, 765226216, 452267662, 1061959337, 44583295, 843080921, 372023830, 575269074, 957538898, 137174151, 846825117, 651678447, 353202313, 343929005, 564488251, 271667222, 825748693, 627203250, 999053614, 928897855, 446233088, 1058382056, 419137441, 448988624, 411942950, 888646082, 175316620, 422923745, 178185150, 175867016, 77259909, 1016319026, 916188840, 215048458, 174994646, 53940270, 1070677069, 945724309, 699543781, 406445065, 298297356, 543915105, 169501495, 936128778, 571784722, 761803515, 690495095, 204118732, 146170549, 624328087, 51023606, 974152474, 127356874, 1068927122, 649884891, 628426539, 739198649, 876120311, 261480414, 252748576, 1038918696, 626119113, 970590699, 945199843, 931939709, 951389343, 1059965173, 135159941, 888812970, 1007284014, 741398934, 434350523, 474309639, 473706375, 841608488, 1051947142, 1010889973, 541559699, 84356711, 386571969, 561972430, 650944239, 3280185, 524046498, 1047800426, 346876154, 160660089, 731426474, 1047954344, 77120669, 884605363, 517213655, 464815379, 249299570, 630605740, 978827326, 439911333, 90842420, 925407059, 105386511, 812498244, 281114149, 245528346, 582860372, 278819655, 140492412, 836980928, 620524152, 998522991, 194446936, 637997957, 286473441, 141719176, 1004014682, 299671430, 387507635, 958363081, 650705396, 837559618, 851369569, 210803086, 443295649, 463394055, 971483480, 740970664, 19537188, 774559862, 990847686, 625907427, 182370909, 925172793, 634008005, 777268641, 681155659, 707688517, 940923376, 275562462, 315751472, 738816412, 296562347, 231621920, 911173714, 692377506, 658700602, 931687609, 849051062, 686087551, 268509146, 667788887, 836457987, 192087909, 918409376, 281847566, 213878231, 1072339166, 112764287, 725627350, 659296767, 702837990, 897924291, 969129248, 21502984, 124757989, 253614705, 384851107, 585692628, 490615781, 301223015, 727047146, 207859851, 180587658, 693284971, 731390868, 423018786, 650363187, 242067447, 115934704, 486285328, 125241192, 916827603, 409301946, 447486348, 1063274266, 617550044, 451896062, 257959149, 693838679, 1059289195, 1007055064, 710960384, 612640126, 27324253, 284215884, 481967480, 406058284, 381092466, 352216766, 727935753, 581319537, 953137396, 138026791, 88953138, 575140009, 512899532, 527745760, 851610338, 744626277, 298417848, 491903799, 184055138, 457385552, 113974641, 780197418, 150404951, 916846547, 311044547, 706677577, 449570873, 1038677875, 523170853, 373921719, 321526012, 111756823, 885566415, 441677206, 823483179, 172657553, 600986323, 761556263, 346026143, 724058764, 600593461, 810217824, 18616217, 324601126, 533330283, 509204860, 578869982, 649745701, 873476379, 127311917, 705615578, 99683130, 449443028, 936060197, 505525683, 439098966, 32802739, 636958773, 1059725840, 1008410814, 578021574, 604171857, 184231534, 108778987, 549085260, 1050672361, 375195894, 675936149, 404384532, 1030116173, 508767770, 261936477, 732405258, 996372957, 57158456, 521292100, 848258930, 713132548, 927052474, 42230547, 651329346, 598777829, 940215035, 290025543, 767126983, 701953408, 570547154, 870840061, 380632557, 1046691492, 537244594, 776686696, 801342583, 322031838, 370851555, 699604382, 826401080, 131829642, 6668355, 825621933, 395230468, 669777502, 143314488, 844156948, 866786574, 315501783, 627681950, 625499524, 355939748, 590330364, 125981731, 23695064, 991227627, 578865761, 158045973, 737937573, 379922093, 196577348, 85469206, 889344083, 931773370, 958689916, 297749131, 156221556, 201013228, 1002392528, 256168716, 370649655, 161746478, 339598747, 577964533, 880144197, 529320523, 53122420, 198480705, 567693344, 334644580, 555537946, 1058268737, 446172562, 882445035, 669080567, 434311208, 228439698, 897095989, 427649153, 566942603, 372296213, 668519021, 876344155, 1019214991, 649852513, 391739156, 596822957, 96755467, 703646180, 590750139, 843771545, 107117710, 323734278, 27874098, 207436538, 693818883, 966370133, 481687308, 154341210, 741431267, 992171826, 1016511089, 109779256, 237387815, 177178219, 106086923, 53816990, 774094241, 109425492, 338243330, 1024604408, 303658395, 265153498, 215143919, 405909028, 375151915, 357379457, 577937491, 27614100, 641296141, 388953910, 688675709, 128327000, 517667984, 230659721, 512593072, 30252314, 801120307, 818068911, 17566346, 449031920, 536720420, 36651867, 138432920, 161998131, 338074208, 1059447113, 114180226, 104999671, 665154948, 284588087, 830956681, 139277807, 660786297, 236621525, 858769772, 197165809, 24041829, 453733797, 258772949, 108270720, 1043878714, 919417757, 38850417, 364682077, 53408421, 550905994, 381832568, 145127361, 800540459, 564621444, 530784156, 1016094825, 49014035, 177921990, 353849744, 141084528, 288319004, 406299241, 35780464, 856220886, 40916663, 1017818286, 929200167, 529419868, 675703122, 426917528, 739824623, 23382588, 1025076283, 783566913, 367900562, 25242460, 484194498, 444798789, 867176116, 288006785, 327788765, 269869598, 12458050, 476385741, 902048523, 1028250827, 532934319, 77836921, 566552715, 159863556, 801984937, 115725358, 234513145, 699957922, 1040645246, 237197628, 1048681386, 947578749, 562416120, 252557532, 495151482, 423958828, 723740028, 890546203, 115036241, 134027498, 188742316, 954918641, 687808829, 856606944, 577684887, 530684270, 156064775, 160353353, 5380419, 804517410, 677919526, 349160997, 466509374, 464359567, 982951432, 974117702, 176568418, 618059163, 123831183, 1072413596, 768761001, 895914351, 640620491, 342284345, 824523011, 357381817, 447447964, 380267499, 892368449, 616574871, 718025650, 543343203, 77238, 254323042, 289462960, 712450597, 543390314, 533278638, 698134882, 357339402, 914405009, 91269314, 763396183, 551630213, 765730257, 1042323218, 579132647, 624795725, 894331322, 461462346, 337118240, 795567929, 922798652, 626931491, 580697973, 703364050, 531293452, 584333860, 136547884, 985218672, 201644624, 240636350, 1027362252, 530711263, 1041417034, 829649916, 324130118, 77502264, 502377053, 123097181, 259967896, 478310115, 143833203, 891479024, 631345363, 1022439056, 1036441087, 341886422, 583866404, 971345882, 447305210, 515654113, 463930031, 940771302, 773878160, 239168525, 881126206, 559996099, 635525816, 961107776, 872774150, 23467008, 596164982, 570544028, 892294759, 97658623, 12266205, 1718137, 671954301, 131946933, 566416892, 686457881, 896547269, 556004785, 404692619, 193561242, 45343815, 128330622, 1057533444, 210432113, 340928665, 459001491, 965387421, 565153820, 613260986, 219708423, 862826135, 457038255, 692524400, 92639712, 499525791, 130175845, 546073470, 626659739, 1032060412, 706931486, 360647238, 226510424, 776567105, 936071174, 23571243, 849467550, 988988504, 25870322, 954508088, 230844905, 620842821, 517600999, 914927905, 742725597, 245814205, 868402791, 863121120, 490630258, 734113186, 78467782, 490544994, 572079592, 867438321, 1038271300, 456261471, 878273211, 729053446, 586194681, 656855157, 797630596, 449443906, 526128361, 963579845, 34833189, 70681288, 769518794, 187090370, 625146861, 931928273, 980748682, 99481453, 611150411, 878105360, 602377166, 337071482, 329985672, 869433791, 952054212, 720919006, 41795599, 980503084, 997729796, 50051185, 580561612, 335442745, 296197018, 71658162, 758728835, 183097403, 363066211, 489055205, 299903773, 305582101, 1072445366, 250489873, 382035100, 181380613, 830271133, 606049953, 852109539, 91424623, 824396904, 528252251, 908801880, 524489733, 702901906, 792874633, 229020038, 1012087433, 343185408, 687934928, 352924428, 343872343, 635392092, 709730262, 844179423, 296431932, 926630789, 437151802, 43108479, 269437314, 716812911, 277055216, 717770011, 818309184, 247052056, 553487337, 51614690, 339173099, 531286010, 268203668, 93450720, 233550138, 699988009, 772032705, 24172189, 583246830, 554609250, 121384006, 733996146, 997969615, 647472984, 745579042, 498227158, 3357839, 660395170, 351499618, 351311563, 816785783, 417698696, 720526814, 864805875] 34360)) + +test7 :: Test +test7 = TestCase (assertEqual "for (minOrAfterOperations [561899403, 446769935, 445347738, 526821394, 159473550, 893329741, 370495610, 636918545, 680661225, 64710305, 879808134, 393751123, 714379067, 973823054, 1070662144, 690774625, 232047947, 811697446, 660278907, 461570285, 601583867, 608685537, 813724549, 719567941, 793155929, 736071879, 588391400, 836106977, 355503708, 587279800, 441602152, 65024871, 654870749, 559450009, 45162210, 1062489496, 964565307, 732590090, 315025718, 412592241, 491136562, 56593735, 877052184, 538108926, 961248658, 923769505, 723272697, 540473088, 995558192, 701290204, 470802822, 559912911, 292050936, 482337831, 636939491, 468999704, 160628081, 756303626, 334062939, 348333623, 447733028, 731168903, 781065420, 527220414, 71442406, 548928936, 914486336, 666716824, 100986831, 33504938, 956814806, 1066182448, 47447118, 61868777, 167719176, 630818411, 93661482, 665362665, 598048521, 536189372, 544327942, 610350492, 427394825, 1025946136, 159961364, 955656675, 463042744, 631747217, 479768020, 269131463, 886118405, 126691247, 177351013, 430343888, 231331746, 613721246, 192078325, 223021760, 875006684, 528685836, 273783403, 1046103710, 363728706, 266934724, 370602361, 285858478, 897522034, 145700975, 967162050, 129537078, 688325610, 228086553, 304358730, 267725652, 348426115, 792642173, 240955238, 247256989, 1020482107, 905140380, 736579709, 357062547, 888278110, 258312226, 941393128, 891655172, 554528239, 997434806, 836645764, 509860986, 854883932, 487540684, 760827796, 318838473, 965266988, 130441684, 1005285476, 357692721, 824351692, 480602892, 1042679523, 729216269, 175200529, 978741828, 930608520, 778460364, 416556819, 850868732, 374271984, 1030793295, 362800447, 760426758, 283586147, 676912742, 982984612, 517712343, 41392501, 232116703, 943026933, 1060830112, 239469447, 1016339916, 20080797, 463379872, 937854755, 1062022827, 315234487, 400345463, 1071570448, 264031621, 999248577, 839677474, 897297484, 252161387, 387261886, 223377129, 434536991, 349117165, 112985061, 11586296, 872445184, 159896372, 202917954, 6653952, 221014531, 1033998391, 84442649, 777450285, 47667260, 976353259, 205590826, 457748745, 864910584, 562214675, 159496512, 599572947, 595616810, 25199110, 908583819, 683644639, 706345307, 944764264, 105660142, 1043720936, 821299857, 126928143, 256535631, 583064909, 525968866, 352047352, 325845536, 446727483, 313950729, 598848699, 251558094, 737094827, 740862912, 660275177, 409728043, 1022291712, 62787236, 793860456, 66044711, 172357256, 591316576, 210208973, 173865613, 486989736, 603324239, 665429556, 404848662, 875249449, 786996604, 199397429, 1054274161, 137889381, 142368501, 716266273, 803980296, 533183364, 499141079, 385678357, 568616645, 279264611, 344989850, 511745012, 590362112, 447076055, 55314435, 809342392, 645269151, 78311715, 860925720, 179452953, 487281360, 241709136, 839229904, 494310396, 71643160, 839718797, 254414049, 506730100, 894575460, 161961505, 819617870, 893932132, 40989959, 228284450, 435648186, 663475253, 277182097, 318774696, 623506272, 70360235, 1020973508, 550853368, 725673053, 162565641, 597741361, 407885808, 932312605, 538550487, 410968365, 467979994, 682372022, 42324527, 979735447, 825724794, 728939629, 312561122, 768108589, 690957083, 655120026, 148986212, 247735010, 841306598, 534685285, 54069419, 832483892, 969153808, 741237561, 202214685, 33176233, 138844308, 173187579, 707552925, 844541328, 91661073, 798490123, 688444256, 824022639, 217817380, 98235893, 753610878, 151374091, 435875617, 822889410, 107932043, 152381575, 402337381, 116244351, 726297854, 335309913, 359272777, 465932350, 11779909, 1037931747, 764123505, 790612566, 453915236, 138848278, 1011289031, 232461123, 705099324, 255360323, 510493704, 869163728, 117746327, 372406176, 884588946, 922835708, 276141330, 246348997, 258001101, 427112633, 826151424, 894190270, 967574880, 768236713, 330725428, 515810015, 643673054, 888989829, 729691810, 1049722182, 138303439, 579091606, 885613454, 550666044, 878582799, 504513654, 774212672, 138456010, 533567993, 553281975, 197449736, 520112150, 1053906666, 764302587, 567757151, 881305963, 1002656957, 594525342, 145745379, 309141185, 544905166, 1028621140, 514442092, 869609105, 994528947, 935255561, 822020162, 275860138, 81232114, 111975739, 578951244, 391750423, 1064561694, 60078546, 121872733, 132690151, 916382, 952515654, 848827949, 943471195, 329174788, 61623749, 83505018, 132225053, 91241365, 242357945, 404364501, 333034421, 993824062, 542784817, 1018470956, 368054624, 285199438, 376321376, 958024727, 869420468, 678050555, 116310929, 472215956, 314199760, 1060991029, 868829317, 1000549384, 603407699, 608000790, 256233533, 91429353, 444142402, 949197672, 505872601, 417284506, 761214406, 853423935, 676367786, 413004949, 1053641603, 38113286, 821178566, 151110917, 165525995, 871897699, 29128577, 471381286, 838201347, 336159732, 978193020, 1018555571, 890924902, 242540934, 170694724, 494228995, 807969528, 390565731, 845060377, 127365826, 955260908, 423258663, 1063830320, 589111175, 342560241, 531254453, 1065698796, 285313040, 489286767, 381751214, 298137249, 877744132, 524125846, 776534180, 198632101, 102348445, 814900826, 239959466, 697288288, 862741152, 888897795, 1033225630, 511915371, 854709388, 403422869, 1073471074, 163221739, 981218679, 66138386, 197808615, 1004393963, 139674994, 318692068, 393459098, 973667642, 578861969, 297654841, 224386617, 587588893, 1069203873, 882022737, 839593830, 785643400, 109812811, 829099984, 628790850, 529947820, 301226981, 918516960, 615411745, 52762737, 983770218, 24239990, 538581397, 34904062, 699004530, 456601218, 648405867, 494120504, 976602159, 1028227200, 613000341, 75530039, 674218260, 644999815, 413704405, 329082923, 250194085, 296075937, 5488470, 924273293, 337983974, 420649800, 973748212, 440354251, 796296767, 295412613, 854217941, 694513167, 805231777, 708293601, 293243828, 300927735, 923319497, 771100577, 356940558, 943482768, 808191400, 185151805, 891198830, 165393581, 1041033709, 643260927, 830959043, 655644059, 860517796, 1026681631, 318785537, 687743446, 180785965, 643765277, 930229942, 641447774, 959771898, 92769388, 1008553498, 422077088, 132545172, 214936643, 901971583, 1009845788, 25065594, 196768820, 581244587, 59628887, 614359066, 1046476790, 278774821, 202043656, 707951849, 1064101034, 987991381, 343621861, 879487446, 183413135, 1057298471, 543511504, 490659212, 117208050, 869101750, 159552432, 715538509, 402398364, 755036152, 437040938, 108968695, 971082201, 957614399, 836593107, 504930332, 129712144, 1001647255, 17193170, 530170372, 656293894, 522390060, 470852379, 982964843, 974798794, 39332213, 718575071, 474706602, 1037807783, 910855069, 94357138, 494348189, 430330836, 343317156, 273613264, 58882160, 209001502, 507333911, 248068990, 432889894, 553978168, 1056209393, 401704425, 713221539, 562736379, 283425472, 609320617, 101965632, 391162630, 926055733, 1066841834, 203952291, 194960427, 908611352, 317691926, 306013214, 51143118, 567291991, 518008234, 688367863, 546366309, 797376706, 916467082, 28211358, 980076799, 158911012, 673121600, 833143011, 60290143, 319945837, 913040789, 787457424, 98266551, 291982639, 548929495, 114090556, 665151459, 662189872, 578095322, 266321748, 112563383, 776334819, 841876062, 63212038, 679085230, 923971253, 744834649, 728810387, 920034662, 1059048626, 64905123, 339668083, 514524839, 827416695, 65176778, 529097241, 624648259, 9371011, 313060544, 390847571, 997078619, 710491741, 1070008327, 10401354, 163593456, 917603768, 657744096, 178281325, 345731995, 628742286, 1041860449, 709009423, 898582639, 923072673, 305715817, 664290968, 279370930, 417991421, 831316939, 822076535, 680266753, 820070999, 11400689, 713846812, 516716061, 58965426, 626812192, 160563666, 252860723, 405355188, 481124033, 232244193, 501219535, 792888276, 865094687, 98134877, 343169471, 266197786, 757098275, 477181720, 705103905, 693416734, 1064692537, 801663279, 32937861, 384728326, 915458804, 666451701, 474178545, 753995541, 127557178, 747257351, 341216276, 513306798, 270911627, 181389237, 22091068, 2924466, 82905909, 763628276, 1019177548, 820377097, 285772978, 346584670, 81764845, 765649447, 936759305, 305667842, 240681883, 81224263, 153502928, 117189984, 142640449, 322627305, 998781849, 710421691, 442214485, 308299203, 729692122, 756199705, 491303387, 683951501, 382688700, 635783557, 649796025, 912527793, 59930935, 247805232, 639915046, 940591421, 137991113, 257563942, 658512907, 141553523, 60180443, 9160272, 216138424, 84598201, 552817222, 822934477, 100081986, 452414901, 970485968, 540421558, 591605108, 475900765, 619070437, 695818429, 293512238, 541232394, 903031766, 724759848, 139971951, 451924890, 131532151, 972121441, 212460889, 878749894, 511908038, 522484545, 262820073, 799383461, 295176290, 830507198, 578597197, 531995765, 149236703, 667164, 366553145, 188780601, 129652283, 134946225, 471442941, 869690132, 390888124, 686407491, 7213664, 83354365, 947507029, 404585821, 894718430, 992150796, 305968010, 41863874, 1003022608, 909105061, 1007462559, 229382513, 317862002, 914114411, 100792980, 326662068, 28245842, 981940983, 260311798, 865375313, 61336084, 69172458, 649568367, 421837796, 922541881, 831614025, 820883851, 357740018, 898004320, 293376810, 651656983, 216443955, 498998181, 722732380, 277617605, 265280897, 776238849, 677442369, 418828787, 870134869, 944929044, 248161056, 853135419, 694294322, 439963245, 368929022, 704309090, 694907752, 623241949, 421813646, 313979965, 922108590, 931278697, 10821420, 439195777, 404287699, 900813594, 159418285, 408248676, 39110842, 781604949, 533195103, 543432391, 499928144, 999577750, 299824617, 319914086, 299692081, 405657700, 1065915606, 22544478, 40426201, 557066593, 469541520, 141665605, 656094626, 436231335, 328057112, 424281319, 597691694, 597698719, 31823913, 390374963, 184096842, 96994739, 783539352, 521055396, 169342596, 617912959, 650649062, 771819535, 158749823, 277829836, 984186070, 886452114, 185489402, 228758462, 961716667, 883157465, 635590308, 539213727, 987370696, 176700159, 151405718, 531364949, 1014186269, 4608581, 1028673126, 585897730, 802213178, 272606551, 287376269, 212362580, 1040439206, 1041421035, 254391045, 890138662, 421308516, 959156327, 408663037, 335611679, 598683814, 31784017, 963283773, 800471991, 933803878, 791650566, 973170801, 181826695, 129171525, 840352012, 80317094, 173782520, 217864613, 894429543, 549211372, 162643305, 765471441, 764122728, 158459930, 940788718, 259643181, 373282676, 870721533, 750056384, 518644405, 510979216, 356829852, 618584207, 386860024, 292424641, 461203710, 836766535, 974969624, 786925718, 543952396, 488287144, 991130866, 290641970, 1022418105, 240733048, 754419629, 795457354, 390545473, 58069628, 603337703, 668826680, 119496186, 728139201, 868725853, 369759719, 483707250, 413936908, 929352432, 964740873, 640301651, 1069671818, 247034825, 674029071, 356515523, 502366578, 347041282, 161094222, 969148409, 730947935, 1054102951, 965684547, 804637954, 830788198, 172137569, 434688430, 101652302, 641770090, 825833470, 950849948, 601490130, 22495775, 866567765, 522186273, 670134013, 829156790, 101432454, 677510341, 895143409, 821883249, 159776925, 293263794, 708610774, 415459896, 462581826, 717144220, 232973751, 387231519, 1013347524, 44544277, 331417785, 342376373, 11916190, 380814140, 891335223, 266031590, 712186267, 603480226, 984238052, 444648489, 808633353, 398805570, 315013944, 1050462629, 638868407, 775199301, 332230578, 501198191, 772218089, 228975542, 233162491, 734937320, 196375451, 120740750, 736554774, 1031556448, 977666579, 207587218, 486878291, 444293229, 118639782, 127429237, 393255519, 2726573, 610238508, 41551454, 549426619, 922609654, 464821751, 590956681, 754609136, 598923959, 798186612, 766488300, 329637727, 562632104, 770566755, 4440138, 933469590, 730810796, 113940424, 758612505, 700346661, 989219875, 1002832711, 641961563, 389288771, 164246000, 339991553, 462309813, 887975814, 66576940, 318328095, 456332771, 842559230, 1040160392, 542719600, 475879177, 729707382, 999763376, 89879429, 488309641, 9434160, 741106387, 722848541, 967939420, 991651958, 528584790, 162257156, 227800541, 990098045, 88748622, 183125323, 422957707, 565230868, 99083166, 978791425, 474582163, 23973745, 4177842, 691582087, 71729381, 643330403, 975501061, 339401744, 75769768, 383411430, 197556833, 1051996809, 48344626, 360388892, 827232762, 909341371, 385086411, 668136348, 251716679, 830528313, 316224396, 1019885311, 691554504, 561995647, 842862276, 555426629, 382605284, 575391986, 806008550, 320741870, 329373104, 340062779, 590173012, 66877337, 801120766, 406303805, 912957013, 694232813, 485069537, 134398041, 400788445, 358818537, 126100581, 480773800, 265891815, 292874296, 528585572, 840124682, 971767061, 184023478, 16754736, 1032036667, 776516274, 436282136, 154725169, 76873473, 212156715, 269916910, 928926512, 773472319, 686178150, 309235034, 687496457, 909952295, 164654704, 1000676474, 513094000, 407116059, 587356253, 994178945, 1060293397, 97557372, 574703807, 677352942, 147120124, 646333837, 925353675, 273910396, 782365088, 963390574, 459469153, 118948441, 881952465, 69923944, 387641492, 519533597, 1026420599, 81898009, 1012723000, 420839289, 820372505, 922735585, 862396791, 606438053, 377241735, 774473867, 522399788, 830920157, 181423518, 75415751, 58656800, 253064908, 920161331, 298133290, 947950448, 225218998, 391855104, 379192577, 564478247, 173217136, 43273753, 699719658, 316791602, 883779982, 674270858, 402151016, 804542778, 7300378, 114740532, 802310140, 568989102, 864729437, 331069896, 149120263, 740533755, 735353773, 26378776, 680571827, 328749645, 949899523, 645369584, 194960127, 524788259, 216973285, 124146966, 162988858, 700793028, 894088345, 180242124, 741090797, 858646453, 51866950, 488421934, 914228665, 838934126, 604088460, 703751705, 631467366, 177266544, 987510429, 813555373, 1023211697, 1042784620, 654354690, 17922851, 158326159, 170972089, 150047436, 256413402, 307651840, 984773102, 45572016, 1011041243, 250547648, 859715184, 894386566, 488081148, 391253536, 981843894, 220933734, 937480361, 200506062, 507226368, 260513957, 79930546, 335930565, 963711236, 43899639, 421030288, 338044672, 1025736185, 786970483, 768744069, 1063258496, 955200905, 913101870, 669768657, 525532223, 581054707, 348797606, 727216236, 1265133, 211632906, 228924392, 510883903, 314723260, 78292817, 887761958, 76600733, 48903695, 664205792, 927297855, 449678926, 615150932, 1009987796, 426702034, 647717835, 903036049, 79642275, 683645494, 753048707, 287313423, 676592886, 799931027, 811506595, 238796801, 730867693, 203729079, 381792054, 654353057, 19265435, 842963684, 766178424, 535437002, 303957676, 954257547, 882189799, 475796926, 640209825, 868834243, 300677764, 1044044078, 1009395569, 390431402, 378275151, 524073486, 241648174, 166340401, 608327842, 359882936, 459354846, 125247607, 980239366, 458620404, 144397679, 248241742, 1069796812, 294371130, 661516970, 95264789, 770613174, 221663024, 825033424, 798218326, 986340319, 850411783, 140925394, 792684945, 522197611, 868294169, 994859594, 404549048, 170442712, 888332843, 630832327, 91096948, 35076976, 496890142, 815255138, 854415848, 367320929, 899636106, 259579224, 322463119, 500333465, 906820933, 488753477, 937569685, 459019204, 851857722, 890005198, 120629400, 506168142, 561503732, 832846544, 907328331, 1059945133, 433698238, 965662932, 336224687, 596846924, 168518092, 25287183, 520267884, 693923950, 1020909672, 747166167, 191142307, 712196450, 116501524, 747497986, 427631469, 739486692, 801161485, 622324404, 331289869, 934368944, 641610051, 518683503, 483143194, 755847875, 780031354, 67187419, 718241721, 905815957, 1039176853, 330573107, 83211863, 570999014, 312744316, 704858207, 616003047, 785149792, 802291003, 58975654, 796280691, 122653742, 739974833, 687169661, 613663303, 273293465, 629635904, 36293235, 297450316, 438126233, 1037848792, 754955246, 204322288, 979693892, 247897063, 868107948, 951154552, 708582065, 544574412, 647152305, 945967419, 137209286, 1049518587, 901659921, 167203009, 577888923, 494895111, 391743221, 134989736, 1017325871, 25900088, 849533595, 828555510, 14478476, 927889905, 947279058, 508009343, 724347660, 365544464, 455547521, 347349859, 940840724, 1072856751, 888059327, 346938095, 431366370, 344239301, 605733280, 658973266, 1007354565, 719736832, 445001830, 818763922, 185319142, 816337790, 398395273, 119625359, 271237765, 256466251, 384692033, 593174906, 633838151, 580861411, 58345914, 205089393, 1061952663, 477426895, 681059429, 337137564, 372462049, 850940464, 986912913, 417709830, 236791162, 658606195, 698643955, 356996252, 702146539, 658356265, 680608124, 171621143, 961942347, 782561302, 562305487, 363947978, 429086098, 534908131, 542903897, 349076735, 263989530, 132905117, 992607416, 473102662, 815920725, 407841266, 371853855, 751022717, 523119078, 197310031, 346534280, 74657127, 914250795, 1031755894, 112222184, 749919502, 38280307, 238379544, 321338361, 726694188, 850611808, 745018542, 855256125, 927968903, 250487475, 445371026, 704075376, 495826383, 580344864, 596950546, 192583221, 975132973, 358485240, 442199282, 550744143, 831887817, 247128381, 1007184534, 370121004, 977928184, 552209559, 827692331, 891048032, 957459817, 348993370, 343952698, 647785827, 656225971, 518152874, 1049045807, 1040018814, 1002284857, 733370575, 943058467, 506601170, 64744174, 1009851006, 238054963, 304442520, 902387217, 631522680, 494017055, 588105230, 79079111, 98747856, 1066604196, 299093503, 133163090, 1007669030, 346941737, 887646834, 782909816, 1016513259, 963488903, 924491181, 585738473, 267174332, 449461628, 293873674, 853844552, 197338714, 45342510, 238412210, 64064718, 387518381, 828278338, 230519750, 228812889, 215369983, 268231103, 804508521, 1026792838, 988107716, 689334530, 664894995, 198448759, 878758402, 377000804, 192653714, 458611046, 560679620, 160212529, 556964898, 102113373, 465449283, 369918524, 409057128, 114765900, 531859396, 221034878, 741725072, 274090755, 970195357, 850633375, 810114971, 487155245, 519653477, 656032531, 177061049, 323457496, 57473017, 554530857, 469413632, 886941715, 35701031, 530933858, 10085791, 617119894, 904233668, 360262562, 659475529, 183748660, 803505600, 970786294, 908857375, 452796772, 69250782, 191688299, 391548896, 944670082, 223891867, 2407870, 139839593, 190837420, 34261988, 752163907, 447988395, 773099279, 227992773, 616622061, 20363316, 807103736, 112986324, 326309960, 1003583612, 754239278, 1002913340, 175342708, 112050773, 326076909, 226619705, 893030295, 750392974, 1037648814, 790662405, 1043206080, 692557936, 163403304, 942270898, 223218305, 1068429420, 1048535976, 287950992, 344090145, 518611278, 768663379, 1039566235, 319222487, 584695241, 516092003, 211405984, 330044146, 569345037, 751193510, 799031185, 47378360, 515180085, 889051353, 625824240, 579260395, 348425745, 1022999198, 22105349, 287739332, 470120060, 945621665, 1035082399, 924821933, 484648722, 658737976, 447651079, 908339841, 262533503, 994159133, 828103147, 747794185, 757811059, 286662401, 955855888, 947384647, 623108891, 100685292, 966624139, 620830734, 295516403, 10242783, 876283723, 1039176425, 875731985, 681774303, 403179658, 588407466, 574776917, 777557931, 260624802, 412263822, 1072717395, 323720301, 544651776, 175527435, 834295275, 692958428, 739164205, 1045089519, 977714426, 795706362, 202820838, 846741708, 655344024, 60803660, 150400168, 994529655, 497108797, 1036690261, 785903106, 451070995, 539682823, 47631477, 1007096231, 1060457881, 770239022, 847453442, 547376215, 311406815, 31132366, 1014369779, 83820012, 543996883, 406802100, 523849058, 13992374, 86371016, 185110484, 826488153, 218079215, 1012451123, 496116504, 312888253, 60645318, 687487302, 948321653, 523788032, 693272868, 5942006, 323172949, 544680799, 407765510, 368970065, 918422172, 130248652, 539367590, 80268122, 564637740, 815573754, 32135516, 626877639, 120311747, 703998515, 681620319, 976850773, 950423667, 726686427, 88851978, 541645182, 1042477070, 741371192, 678257463, 671222746, 189976398, 221609772, 208374539, 127008261, 387586958, 636510008, 810698186, 55144035, 841660741, 810919728, 762789145, 1072012360, 681525832, 791665315, 372746339, 197862085, 1006897035, 703887568, 1030187235, 252953274, 142892470, 448029658, 657576525, 848877775, 443711283, 951563298, 915600745, 873593788, 448002743, 227946095, 1031885567, 507258826, 1031178764, 10563503, 507507394, 1004347724, 735507219, 316488348, 900631639, 605302986, 220684517, 96800067, 920077085, 218138684, 39986986, 170579726, 774695809, 41355918, 576439587, 19022986, 85002311, 737061781, 320732221, 748676229, 676417325, 892169081, 825060560, 84182639, 999899280, 325544977, 859879066, 1071950414, 91888153, 976693230, 449953705, 281068071, 222438170, 323688033, 508252081, 961325034, 334884755, 552724251, 51994028, 383525770, 538766251, 381886484, 653222826, 435062696, 655099363, 249641065, 149443055, 922851863, 713779264, 147419814, 883451501, 422487300, 164057532, 782018293, 453891949, 30788291, 307619484, 48483312, 899064950, 730108319, 13048937, 761764997, 734191545, 131919859, 46121787, 765887632, 708916543, 894042874, 257491929, 779014106, 592698434, 794889520, 224986286, 261074203, 97433631, 890184015, 330282497, 749622513, 794105592, 1002938071, 394587016, 9414638, 128494928, 446357874, 836760273, 889190400, 234511108, 953420923, 9261281, 737821702, 7626653, 192681246, 246303500, 478429387, 982793347, 195696596, 355531278, 475606223, 646233749, 119931004, 524304133, 479932031, 725050671, 103417122, 306091941, 233148206, 819190319, 749612852, 535092277, 948214305, 184370395, 751231365, 778786008, 154322824, 321919572, 872406269, 461919134, 951474211, 866544689, 385185035, 761611441, 560652707, 1004766328, 171952207, 486685776, 575266750, 451138726, 328883416, 740544034, 777546932, 968268814, 1042637405, 953129289, 917870484, 878569684, 294587050, 196742045, 693166880, 106023749, 463760073, 482781034, 917475338, 1011571451, 764036993, 300452066, 990584189, 787510385, 932024878, 140882495, 222726624, 873330802, 1072844391, 96272947, 824151880, 783563554, 150066895, 501320277, 471071973, 670123361, 399652346, 282303449, 835664455, 244295105, 450121229, 1029782776, 2802344, 908721959, 970341022, 138331239, 553427241, 326896247, 129259386, 39735665, 667186182, 562311534, 7341679, 284646489, 735871980, 704863622, 858855616, 580582994, 156084404, 597496601, 9858061, 426614600, 188132738, 1017246593, 595904292, 761146316, 790396646, 86323610, 761406328, 818059108, 735873539, 173543119, 668230834, 899648333, 783605863, 265698821, 144871247, 912853822, 559004858, 46381899, 1050875616, 532828513, 468596776, 332178659, 723225474, 310502443, 467243308, 1066283542, 514209648, 621051547, 135681982, 49652142, 798013145, 66665505, 840190936, 937748880, 917564120, 331579727, 983926449, 1006500609, 294497991, 880261943, 269484990, 56922971, 808269694, 187371818, 973571015, 510564921, 15643006, 679227210, 717307192, 290032219, 824415836, 350236861, 704126618, 714411498, 558273742, 1014027812, 374365988, 10336987, 126978709, 679772821, 732108293, 327950239, 484506225, 571973068, 461441709, 363088108, 60797539, 121197587, 744058365, 872633609, 69532854, 804989407, 414121592, 155209086, 733434683, 628213678, 88124773, 183171025, 195512044, 999849272, 868121795, 798069447, 16249255, 617850884, 34366061, 563464252, 1034389947, 788775049, 1053911580, 672778114, 229083081, 225591481, 497599301, 538406002, 894470085, 198310573, 325837103, 171678746, 641980836, 962189926, 882343941, 40999777, 308979758, 86881515, 959432973, 527064748, 1068784383, 486196509, 970855920, 118286867, 498370184, 556820597, 1007998986, 690279610, 341235561, 322472124, 663280540, 886911046, 359033291, 154020189, 422215747, 106177579, 282009045, 707059091, 376655871, 662241152, 695715494, 97220917, 860861196, 804104305, 1043113537, 74300034, 1030400606, 983099468, 558566479, 420876509, 168995581, 464259955, 141506357, 430534284, 185265071, 606257607, 365004534, 743367475, 754611517, 786345085, 52432081, 372328838, 1025383449, 512920817, 320214196, 84477855, 557408565, 297853000, 444061301, 877981603, 82215127, 865413329, 598182777, 598752598, 283456618, 319425805, 703986470, 542707910, 785747812, 973712819, 675027078, 949124662, 165805963, 249070192, 353717231, 1039758806, 211512154, 678447381, 198843972, 207593875, 1026158027, 703198979, 148585757, 910305203, 28609864, 19277331, 277396042, 278147076, 660178527, 489242540, 1037001208, 778226772, 544158359, 843194463, 631361348, 90232082, 963621871, 91091499, 121206028, 790685065, 247367448, 106835331, 684568329, 322094130, 69287102, 620450479, 998845376, 266531382, 428559399, 486984065, 256987038, 929365704, 479820617, 717248715, 991585438, 1029398547, 292832594, 872536125, 683440737, 30436596, 377208376, 617273560, 835504649, 938536523, 1025566397, 1050276855, 1038238944, 278627594, 817750800, 272507382, 113839621, 550945570, 310736893, 978692220, 865370848, 588132105, 502114725, 931861833, 189847657, 996917209, 75001072, 746596506, 106964642, 205699701, 1035597039, 872665175, 233575649, 681121349, 283886283, 353594066, 980144541, 344689023, 396551107, 712475460, 1023497875, 345227941, 1008069498, 648148620, 523002901, 759681683, 21692307, 260027701, 436504243, 51361736, 16835087, 773624900, 356924708, 835676635, 1028163168, 723175138, 61987006, 28687398, 735609034, 435010508, 3080454, 26108503, 951034685, 178252097, 729876752, 117309183, 441061227, 956103309, 84069403, 222769288, 445170949, 221440766, 293268221, 350214399, 188457458, 527544349, 938890893, 119990766, 725045135, 925470731, 47177326, 303614760, 358000655, 1061582435, 353015702, 541865118, 991912539, 775972163, 781187379, 473433751, 925642115, 640350086, 21149482, 310685449, 579867483, 776134798, 554587508, 163346064, 361176329, 58880700, 138974852, 77442824, 718170291, 249461651, 6883662, 761563734, 322411793, 387113281, 631011112, 551936288, 508522594, 371677954, 511045663, 925315037, 938080164, 454494444, 385970761, 792869554, 1050833531, 1024929764, 851785605, 735047962, 639269737, 313783333, 1045331886, 233139175, 896216929, 608866674, 812281310, 634604694, 531850008, 945860387, 990451292, 98640415, 385829201, 300003842, 571988357, 311086798, 10657176, 472738782, 437420359, 992576599, 418238970, 558780478, 35768105, 225373099, 214541875, 897952612, 128252850, 120967833, 711445771, 1012487210, 637432080, 685487805, 350872896, 589800388, 174401488, 49061989, 1045752565, 148573638, 204542202, 1027825438, 1037348823, 931907544, 690919178, 919692168, 459243298, 745029830, 533643190, 813570944, 356369799, 535409384, 711421574, 634569311, 458633176, 1056116943, 53083440, 714017984, 942888305, 511128997, 443165630, 225455803, 1064863510, 376189632, 881435200, 108558244, 712071944, 278219939, 687256876, 508448077, 190573302, 478054497, 625764544, 711781723, 1041324366, 977192764, 408328965, 1050406887, 921652328, 969555649, 13495289, 32718535, 432766436, 516301989, 95781038, 119965203, 948367914, 1004852280, 34444762, 986705510, 682880865, 639243418, 218454579, 194466938, 639253577, 266369398, 281581791, 571778631, 785196072, 947608067, 324848973, 1007228499, 695644778, 188386429, 129830360, 207351860, 451211596, 675012662, 437032765, 842460801, 460600905, 522575071, 1015686853, 254374431, 188353486, 738629834, 442571199, 686197235, 860321055, 439158551, 142496439, 845743264, 463541811, 18958504, 132851485, 285156040, 470851446, 280440967, 771183302, 914858244, 6082673, 102285249, 635301777, 179584954, 905512715, 175143504, 281867827, 140520871, 154242886, 927631272, 561225333, 771619813, 968091863, 968510636, 413711539, 700392359, 443999774, 477096010, 56041395, 604570772, 313237631, 750579249, 1029515231, 107209194, 916672511, 495752256, 664300451, 359082941, 705486991, 1030423977, 996714285, 228038780, 16255908, 886684953, 193885713, 342520289, 729462472, 641943141, 153508210, 203761482, 865332754, 424394686, 399131530, 451580448, 1040356402, 126763536, 513723400, 431703168, 83549114, 86042169, 242072955, 42516955, 876133600, 990563786, 954420446, 779854803, 803299273, 16761245, 822112740, 62256259, 33650629, 90079361, 424508125, 422172345, 411735029, 357280841, 976891683, 51795273, 563261795, 908820636, 1014355169, 501630426, 635691189, 88164580, 1001827267, 639280893, 138237191, 654409220, 888565044, 579055277, 746743643, 158622207, 204437679, 237392964, 240230091, 298755987, 337137250, 42201830, 542330779, 900332860, 498332630, 611298535, 100265949, 529373555, 340638597, 133966304, 285593833, 227549515, 780172275, 213539088, 46519252, 471763902, 228956883, 1041888204, 485726327, 746014223, 524818604, 72690581, 980063372, 1050327497, 862351592, 604288328, 215635581, 844950882, 351526069, 821511000, 312120883, 497628618, 10232801, 193000205, 929248941, 1007858866, 11965236, 763659446, 121069094, 8532444, 236393208, 46062222, 865272341, 991758577, 369754213, 434385005, 335889202, 302469010, 72577071, 71527720, 471377539, 897057263, 347149285, 983551543, 281435563, 720714473, 259262132, 242620142, 156686974, 854970206, 337285180, 450050515, 545768223, 1042912952, 957811222, 714499588, 526334684, 36142081, 38062674, 739979486, 927850798, 277372177, 786358033, 236297534, 119279208, 422478730, 71662697, 989546480, 307880138, 303329037, 850752483, 920227644, 731880132, 860298614, 440111713, 430286177, 256158734, 784346809, 62844064, 680155607, 240514710, 874695587, 173852684, 347425778, 348829188, 1013734792, 395365998, 411984673, 919112805, 676575478, 829644572, 992019779, 793561191, 129544061, 97594, 934891887, 920637009, 1042874696, 581707958, 90761079, 711960084, 556898827, 993874693, 675328472, 776168299, 941721651, 688212859, 428519293, 630017626, 45455195, 702014697, 102866247, 1046982215, 417586140, 67959399, 728788389, 167165625, 75309224, 694513043, 169823865, 712575174, 602414731, 1006049417, 343884945, 415378084, 964987688, 521254139, 461646274, 143682441, 457963246, 510007168, 585208136, 649372062, 613673935, 140999142, 817706892, 110544845, 148802894, 162432163, 768572793, 1039240574, 1066453994, 578360402, 134661810, 169259623, 130999325, 6905547, 607164701, 333450926, 825411434, 1032196066, 509881210, 417593918, 985496783, 54194192, 393336553, 732258516, 756410907, 490260700, 17782805, 826812188, 926608025, 459549554, 175751874, 419453820, 580429941, 848980325, 443032407, 778514466, 481530751, 784762388, 286339898, 246845046, 451204404, 669584407, 971602295, 195780022, 454877267, 677380611, 484343312, 880081275, 885596742, 663240085, 944842308, 1022494707, 469784536, 359039102, 319522637, 1012500588, 970984880, 620593842, 838635383, 728689274, 307576747, 855524861, 128200551, 116340373, 514855630, 874607777, 419512267, 863998709, 1041374313, 791949489, 212941522, 622830427, 924752856, 573942480, 141271896, 741178535, 303302104, 87497860, 54520411, 261131299, 697808775, 131695945, 148686219, 671773391, 719815422, 571123030, 943517873, 956284173, 534953934, 450599470, 328164987, 220145020, 929596694, 117703214, 882456727, 391142936, 152672629, 290952541, 714273840, 787255463, 1023992737, 156069952, 202770821, 896252851, 50851353, 141352628, 240198666, 282466677, 421111142, 690985038, 771766827, 106647571, 865091142, 736914747, 871636882, 357241908, 803840707, 100877323, 461121982, 428668083, 979895584, 315545870, 771860679, 601324207, 1005032447, 1030927738, 785165020, 789399558, 174801060, 136399166, 773777660, 239052699, 864135157, 635980658, 701693099, 1060141474, 156433561, 490013745, 133757370, 23583717, 793017076, 981634800, 1066266094, 944127238, 104137213, 419404403, 1051445878, 158734592, 500546136, 1030915784, 343399176, 126248587, 864695571, 536291356, 9711186, 661425337, 442625936, 689874809, 776828767, 388692396, 563311950, 560397953, 659336984, 1039165718, 853702085, 485179894, 762063738, 157369818, 772974118, 185112056, 982517169, 523623045, 745599299, 110252488, 799209633, 784390957, 386870551, 947491651, 425658642, 19605502, 887940273, 289328896, 179519779, 843830764, 267447844, 1628419, 200297445, 1022918226, 180530541, 90438829, 1014003853, 922325589, 302108297, 476194292, 1035681425, 596287039, 745510233, 476294760, 525779958, 556663866, 394216107, 742242128, 808680715, 1053131465, 814791625, 34744071, 748962939, 967889433, 825059080, 327257353, 357198615, 965293575, 1057729297, 526281855, 865908761, 60071667, 953009785, 616466636, 238457652, 311060746, 990034722, 427281396, 442337408, 939026864, 921883246, 3993213, 1059617106, 894860202, 206889254, 230351441, 811006886, 748242892, 431019489, 55062086, 685252268, 641220748, 111631213, 1017188034, 406462230, 36204499, 279911496, 930575227, 368913765, 322210952, 273651920, 339424874, 9841779, 682230691, 654715290, 27552492, 582109666, 408581624, 68335522, 804197098, 851228231, 70868672, 259736837, 712409621, 559659541, 939557361, 118766400, 235308940, 585185127, 314686029, 256933653, 153807717, 186358917, 84914096, 409733450, 238839588, 289195169, 1012611030, 678090783, 544654064, 300170047, 60488868, 953190248, 91131294, 418880294, 673079572, 254075825, 920757580, 318798461, 664709510, 759528192, 642298349, 933198006, 854991160, 788345523, 623986037, 309920059, 765216266, 209299381, 568067773, 700476002, 594265440, 18759981, 439457930, 828632759, 1010467786, 276325165, 1046959581, 539212760, 1048106194, 757149085, 40703193, 879705366, 492222520, 399387624, 767325125, 514780862, 824367116, 77580615, 941566898, 448576827, 12476408, 3650045, 1019187332, 390999280, 218899488, 733623970, 626842861, 409565022, 228705583, 439808365, 304693800, 734888593, 779546277, 129261000, 618090380, 188954514, 292934746, 558686108, 339545326, 800687978, 805704209, 793343809, 374510803, 473276740, 889168792, 1042125154, 420530777, 388620892, 580526382, 728241005, 1006133727, 1056400258, 849897192, 107881144, 224529899, 934135462, 997361636, 900935103, 949097151, 1031608761, 583748749, 950982237, 306233562, 782038000, 11513982, 866747382, 397047121, 768721453, 664580747, 741475592, 840261886, 763692840, 334991783, 47945997, 1028295873, 130024217, 664794814, 365091278, 858811353, 213232992, 441760846, 172286361, 675971177, 888527162, 291539645, 817668018, 999521098, 207619108, 8860615, 746653169, 885077841, 35132185, 405516945, 465572788, 171748048, 54829407, 81107578, 723996606, 691349687, 212814189, 665302703, 440358689, 68192323, 1051669114, 654865842, 263571363, 7967846, 890982195, 1060284512, 446848082, 748716816, 224861087, 483367481, 178163561, 654733661, 241960370, 261972040, 918843976, 418670010, 1036150783, 628478754, 22149376, 607542353, 23391091, 446644717, 291244058, 465754161, 231027685, 849966389, 571094888, 496348749, 1006934522, 993059247, 630882806, 218797488, 311151799, 453959430, 210070918, 566342426, 571153485, 389450020, 814156255, 330452083, 836721094, 242810504, 21207912, 882360151, 587867461, 133119984, 142753656, 878354702, 620473662, 797579074, 280240201, 561641767, 670395523, 899165740, 481251490, 26033460, 113247754, 866088827, 676966075, 1070641409, 708340914, 50434214, 502353530, 356648853, 642557129, 1072927683, 34305242, 821855386, 842128814, 984522533, 223198273, 59424948, 719234515, 145428510, 532760179, 357409016, 934153941, 730302217, 344547487, 1027487953, 147245050, 541564402, 374098433, 917768820, 329747090, 237347358, 600813511, 950572679, 1004831133, 280840773, 38397654, 1055757240, 882698673, 939651905, 664061003, 1020896928, 839903957, 168902960, 856011327, 185098085, 894801778, 227130456, 855797154, 577404007, 98256424, 313221170, 667053061, 482273272, 34056173, 762858030, 485585578, 933204420, 937271793, 1035176699, 589895921, 1013169841, 545097641, 77035, 839110663, 1061517657, 527331156, 214240565, 860968998, 859888388, 40082902, 678974562, 950537885, 108827273, 401971348, 699843193, 378057347, 1052648398, 499488719, 913891316, 284786980, 124396991, 237475753, 507623655, 1045240026, 343781620, 658959842, 74018271, 558818617, 97501144, 657964089, 485980023, 366023734, 964949229, 259622684, 211056312, 626132916, 20056574, 601914807, 208658814, 1013441162, 1054751579, 697902649, 119486616, 977455748, 390727947, 634696698, 660361650, 529722269, 245693754, 420883274, 486457673, 1011462079, 784813974, 1067706827, 76030136, 432373658, 532412723, 455207595, 865597693, 480259286, 68437843, 602810990, 674124535, 620770854, 647725110, 882381622, 476619266, 86104590, 51029489, 468720417, 304418445, 673581054, 819194017, 253839442, 711821931, 638791804, 677381701, 993267721, 327644432, 856241838, 432025504, 1044736493, 720568036, 676709529, 163527382, 843906401, 472308457, 34402797, 869084703, 715721316, 139288098, 1014499711, 1046806868, 413907616, 234151056, 5994457, 821023473, 547640708, 452423495, 5919751, 772887793, 692509027, 346098865, 132541304, 1059877722, 587973631, 914898298, 173256609, 435941601, 825549375, 769863818, 453411590, 407113796, 559503512, 247081157, 350366203, 131639256, 383080149, 655734802, 201400625, 750003983, 175918135, 618274865, 545729573, 475378110, 173541150, 55815272, 433108284, 1038088434, 963721382, 338911545, 1010214048, 402823193, 175176863, 45004099, 196755131, 372345297, 444686683, 843663007, 482426913, 678190971, 963573973, 808953790, 132499491, 164392185, 509800824, 373692193, 497104805, 8012906, 189240703, 121455157, 475018333, 165130094, 874647609, 525921881, 316259213, 829102856, 103476100, 270262155, 320646930, 991549016, 447319038, 49574611, 172909739, 773175483, 360574954, 657766976, 450664549, 455205970, 235754521, 324588894, 968342864, 759657184, 444219182, 205629255, 791486453, 419206872, 560104739, 128334268, 910106899, 742383169, 263976022, 950650085, 1048124415, 1038175846, 40715576, 461274923, 1010141201, 541163850, 907290133, 241249752, 710208801, 326007509, 875391662, 506105299, 1015386378, 537821880, 249930189, 238497012, 136766953, 741283673, 448689822, 396705750, 319334711, 571755591, 499705386, 493804501, 205843435, 862443051, 314862646, 818019619, 401222346, 189182930, 572255817, 28045015, 887081629, 567905475, 498529407, 90945130, 944602194, 412873779, 333034197, 298191465, 1052475348, 45801606, 358510288, 839130806, 65004816, 443760227, 572776306, 978304882, 1021679481, 564843610, 809074463, 850100902, 625413164, 296761983, 564001002, 912254548, 104650329, 986998791, 471319827, 877970769, 493134936, 674632594, 148387248, 958494548, 393055777, 450414643, 80536622, 231974987, 782220753, 343732773, 681698391, 373205829, 996029216, 455439128, 911286375, 868194613, 249855127, 562901156, 726347848, 889816144, 854617535, 773624377, 331119944, 922161210, 470688881, 349579911, 1047694836, 519700691, 254573428, 144444448, 290843370, 686007522, 603672625, 32312189, 955065613, 607701440, 464466025, 521336736, 844855186, 428670688, 112279188, 410158975, 946523652, 491635288, 174386561, 328177549, 1066074949, 966109864, 98872817, 224403903, 828701266, 1059998102, 492937825, 316688544, 472666347, 585964470, 190633466, 761666686, 1054500361, 60668911, 98758325, 451486643, 617862997, 123277753, 519458105, 616478444, 946935848, 459175162, 923451262, 666538205, 482018124, 679930831, 280833594, 905874673, 543360011, 784018608, 463645290, 437963981, 1040686299, 917898848, 432506133, 160207249, 931547551, 240924982, 708865781, 296859992, 19620953, 422216419, 128383969, 817600203, 1037393980, 544967146, 941685048, 259671202, 941668368, 338779060, 121152220, 899694987, 761455302, 132850378, 919009629, 552330363, 180914124, 500879078, 984695172, 1056656922, 310652268, 678132257, 836477878, 931608110, 396847987, 51902032, 844316403, 812170490, 669726670, 454236253, 636221498, 477702904, 316334483, 273437615, 258948479, 744699626, 111485812, 140104446, 1064085521, 509092334, 674438912, 916744157, 903544922, 327525785, 773806647, 537902290, 1066230683, 549147124, 564812678, 244336432, 685937873, 610799347, 741054645, 592714725, 653015874, 80421727, 582355484, 1069444475, 287785056, 167872832, 674827717, 633158741, 313881427, 972709404, 890009666, 765458101, 550350733, 46605374, 57858437, 762119416, 521622419, 498490493, 949171675, 119044136, 343700510, 841909996, 194955780, 996826864, 532890820, 706830322, 217960302, 740009144, 108824401, 338451716, 140961714, 941334732, 352691400, 668493077, 943846243, 298868227, 317947784, 875350928, 978442033, 687016439, 546918284, 56593796, 249081074, 605393764, 744278510, 518621220, 381978974, 214027314, 453928722, 746848528, 1045540151, 931298925, 824817247, 315846473, 304437154, 978550632, 519840007, 914249646, 495639004, 973411866, 859003044, 1016737020, 682379861, 675104975, 234056570, 552535989, 875634483, 213514625, 273002713, 255818298, 40057526, 317283926, 202179112, 245667035, 983812813, 1062330604, 661223982, 106563891, 978744099, 996846175, 261853303, 779280441, 925729237, 739528621, 440293310, 602440983, 27427715, 517364427, 569804711, 299871431, 36784361, 598147808, 201706399, 658990345, 937522160, 168483434, 609314044, 361164066, 799822686, 676150561, 877060135, 697238717, 524778471, 918907089, 492391538, 404745953, 322317111, 311369517, 631905782, 501189780, 968101087, 1070464207, 510712740, 539592169, 318994461, 692156424, 392416998, 880416528, 959751788, 892651425, 739941244, 128978703, 106123764, 910202249, 593831379, 993465023, 375987974, 121203324, 274714391, 775090399, 398509231, 412049041, 874201256, 640652176, 482313689, 54644148, 920092662, 147585081, 816725357, 683298317, 90235316, 238931071, 491570816, 8785370, 905217999, 1009888634, 1030016622, 340281282, 519948738, 106656567, 1067313377, 461531604, 87233053, 813649291, 159037542, 860304544, 963217992, 325857732, 809365315, 1020222365, 862746874, 316240817, 108740923, 34037031, 195049035, 484597258, 983103174, 203590800, 503048464, 449397941, 211731673, 390095384, 464139100, 43533156, 555959286, 144036758, 53292357, 921414120, 271197368, 798662164, 875098131, 477062409, 727299329, 34916919, 218380287, 322973875, 561241561, 417099961, 387714967, 677241488, 224336860, 733958533, 515781363, 101662389, 609411664, 633819953, 667994501, 343889694, 114440122, 555083706, 284031969, 276951090, 791720326, 889320601, 752804302, 487365894, 49520639, 727115839, 665555603, 914377995, 140747393, 763930737, 391998902, 837926760, 506326880, 596042511, 172817302, 1069861777, 110997608, 708103729, 491929653, 867133832, 563332012, 712141107, 736280865, 230626857, 1023161053, 964637344, 324783534, 791050565, 467221186, 221457649, 826974953, 185377111, 759323595, 269138332, 945813166, 455968052, 876105649, 401610117, 935214010, 135366629, 884394442, 79190275, 634597864, 641232215, 687924706, 1069495744, 362550387, 1039202536, 915434729, 748468868, 866887981, 79410647, 402382369, 891476468, 841901146, 922929069, 761783279, 498768370, 116226924, 725669202, 707118523, 525623525, 648613024, 904260991, 1036241993, 766686146, 694318921, 150644831, 191415307, 859291031, 298192643, 962297196, 374557102, 405056727, 739907358, 882995039, 781154593, 334176158, 858650176, 48197159, 593071200, 375030690, 779530455, 15926929, 37367567, 44711449, 534279002, 713770263, 647076943, 586362679, 435199654, 346121806, 1058885630, 204870649, 720535530, 1018036996, 709994573, 740904043, 202871249, 416343833, 810690707, 664992367, 223303635, 190587140, 294377307, 826493197, 1027490844, 163400370, 314598418, 365708376, 474370128, 218085755, 99247082, 1031487889, 1036395714, 928395000, 8889752, 793243233, 1036481527, 477177434, 420184380, 1062900421, 216206594, 248321702, 962962041, 959293084, 265931339, 33472779, 578083643, 324640269, 419007764, 701206389, 272163667, 706572024, 594818909, 57323227, 394858533, 636069543, 473870705, 389073809, 715013922, 640308982, 196918489, 250438160, 954243875, 597426026, 584199446, 260099038, 871452879, 590423750, 101091339, 389812949, 649654283, 332283996, 502613408, 45137014, 879144055, 4440834, 781420423, 410144356, 1035516503, 297638567, 772632309, 764958293, 488670861, 933451559, 223146422, 650789632, 548233120, 300992341, 775018728, 942560740, 263155267, 132108916, 370250425, 855111842, 960596810, 197547371, 908220708, 21782328, 805766340, 334177581, 195112833, 29087520, 930837170, 532346599, 822779459, 462601946, 261030113, 723474153, 89973897, 103317452, 218508442, 258648897, 386701846, 656242076, 262963782, 42352245, 582277018, 26390063, 678533174, 660707719, 125484554, 10791638, 537344323, 707558067, 522975254, 599968477, 428112069, 972140942, 310447999, 854288799, 122341104, 83484590, 501106863, 812343119, 45682089, 303118889, 693245972, 1057662863, 745483991, 904869803, 161544349, 938911921, 1057473130, 1068052905, 766560699, 139226165, 851222568, 770029844, 671573102, 580819791, 1066974048, 154579151, 562449490, 670508679, 169384087, 1068734419, 197144715, 170526113, 613618129, 876847108, 1041929422, 887469309, 1048436353, 975969211, 245559811, 775587644, 364164292, 1002863744, 807369884, 975573100, 198034780, 207773682, 944731271, 130308168, 591791652, 68000578, 648945476, 450386171, 109703606, 1061363909, 327717576, 879787865, 463035407, 372669790, 766657070, 529457759, 983857471, 595703165, 818490210, 783835772, 496943019, 324101428, 654765928, 35485652, 1006074077, 329823446, 435548285, 868851856, 715120929, 1030574141, 57704381, 151994701, 531017233, 777667230, 428171014, 82443011, 800839278, 749964067, 854014678, 282620604, 1036021290, 762116605, 357765082, 241155337, 734491669, 775967371, 910341132, 974855798, 706923765, 1039304089, 864263737, 730774462, 987817771, 231092260, 26828265, 870209532, 449729627, 513416209, 701972165, 582542248, 576388263, 825125041, 566251576, 266665850, 167005642, 328575024, 948316133, 27829524, 728029100, 369421220, 682571266, 70446402, 620121596, 169492476, 803735357, 341152812, 803489493, 865419886, 454103475, 706041764, 624032064, 152885877, 328027792, 191123370, 364981806, 109349951, 558345513, 702218980, 1007980535, 495448378, 1003491109, 836484296, 329093203, 1061171244, 461980569, 608032872, 278613389, 927077948, 729003318, 665999659, 307110794, 408008385, 68066589, 962091884, 323678783, 86039236, 940401783, 252357610, 697281120, 467669410, 852572781, 790062723, 189951047, 550383557, 961552974, 17361872, 665991697, 740783630, 378305750, 1072559790, 28700245, 139834635, 845363831, 1021641119, 401898076, 784800425, 284291899, 597037241, 904724854, 469352033, 44840961, 48806133, 697216162, 700372474, 427704454, 95607831, 623009717, 674439440, 766900412, 641597463, 236952241, 392801327, 55667362, 1006023183, 207548462, 317705798, 988342282, 416891675, 298116207, 579438830, 818449016, 829781996, 875556156, 176924233, 67577459, 168393815, 269669604, 68400105, 592459296, 797495284, 920938113, 400817979, 893482578, 466631854, 236082717, 640006660, 401279699, 807530462, 775011556, 543210758, 797445294, 211922498, 481058286, 746036068, 225382131, 93636407, 529157921, 499375750, 133037964, 993843574, 74016187, 568222008, 183734784, 602215627, 574264622, 493301010, 179638107, 203781891, 655309293, 182023038, 89298277, 888246961, 208026949, 743480998, 722476293, 456548743, 723533376, 78374113, 333078761, 267645919, 300929963, 975751874, 516500812, 368370799, 199100403, 257349668, 30587212, 1073400933, 219449730, 812372929, 739834205, 101429988, 550144259, 284421698, 442385863, 303844292, 504748563, 465334271, 113199415, 135954781, 669332628, 894928724, 272261511, 419023599, 483616285, 221640264, 1045268864, 1052721379, 1073356164, 650027621, 493760037, 881767031, 860207943, 1009881613, 629403299, 805142105, 342091653, 872459445, 308463319, 519836249, 921932020, 380224794, 135587939, 965163906, 990178768, 683448560, 39940849, 13589016, 710669933, 485159706, 759836355, 573919876, 514865126, 871102765, 71858556, 837068945, 628540816, 307155925, 983133463, 254640740, 887894059, 994352925, 632017009, 235029516, 318548646, 504000586, 95005178, 247536131, 615647570, 823302628, 697488690, 460806828, 962071595, 220001664, 685359403, 985220507, 496631799, 1059328357, 399707958, 791276617, 591484398, 567127006, 590900401, 888029985, 71419735, 554785780, 587692959, 42792489, 364940, 446138160, 950907862, 632506543, 219055394, 315847294, 177111126, 482777259, 437423748, 794548049, 878367094, 344715371, 813717069, 570596365, 536207250, 801607414, 934420209, 1005177414, 114057659, 865183130, 970373344, 17666354, 917504880, 89773520, 975880942, 197247473, 1051278773, 542359320, 120339795, 769839278, 403313694, 788332896, 1050510279, 196267337, 137975138, 362726449, 136032383, 290297970, 1059509880, 504452426, 441803797, 892046141, 263039915, 415205717, 1068046501, 233195386, 135509278, 364092959, 478699205, 208858982, 1012849531, 289523109, 525178791, 933032837, 887945472, 596776271, 748699273, 377158274, 451857940, 661541494, 45213973, 82924234, 1068357002, 714133290, 212268640, 173957079, 682520693, 405614826, 368633201, 228870662, 871393394, 472369460, 194320345, 864559411, 918913907, 1030542274, 621104711, 949177060, 1008197448, 178024953, 610893487, 986569089, 901449782, 662803899, 361690833, 936367061, 884200031, 463932257, 1071367013, 455249766, 546123064, 739067494, 91665415, 197694757, 1061911246, 797559460, 733721532, 21259348, 238727777, 953501424, 861284443, 921733966, 455542847, 702527169, 74121815, 838192943, 40988344, 205059120, 902206084, 586962762, 664762611, 1000199447, 651013049, 747198958, 50629707, 480227658, 102532967, 1053646820, 797862772, 215369982, 855451362, 133301671, 214007171, 544662593, 439931449, 578136697, 319071827, 651255995, 871688195, 929579990, 363681168, 873184491, 20576485, 718564776, 784098859, 907138377, 624757306, 732056460, 287269887, 791839137, 711496429, 293335195, 366736762, 792539973, 588749928, 567076498, 162926240, 778956787, 600995878, 938227811, 316202737, 15827615, 83033956, 1043736121, 661070419, 992365064, 668430707, 1008187014, 32895508, 547091772, 167578818, 601512665, 968789604, 461780413, 84022430, 954119553, 724530842, 115749437, 826901583, 479223191, 815089478, 495106257, 295135411, 475096644, 436160979, 891134030, 838683797, 1000506783, 560660051, 300361175, 867284896, 449439048, 501036858, 841384759, 934521996, 797415644, 249347159, 337991941, 621976928, 875123483, 542988427, 430406624, 178117323, 400979582, 1071830024, 184273780, 292345680, 420236094, 1006304963, 1000165489, 490078645, 592999973, 904881892, 506483518, 572041444, 361402922, 158914194, 251509103, 693495873, 313506448, 155477618, 229518814, 885026935, 793213046, 245564173, 238776917, 117025113, 191601950, 756500829, 18702276, 266978683, 747914342, 844500012, 808416987, 733778370, 583323198, 61071210, 25466720, 976031164, 541670477, 117419286, 485128962, 75446272, 236933828, 410559195, 605124739, 686324661, 649120180, 652083733, 829633413, 382176968, 761908290, 1057735376, 284396676, 114129997, 88968516, 946824648, 67240097, 497857824, 956316715, 733931136, 703363045, 220248487, 705902416, 861829122, 1019682077, 497350280, 594155901, 144191490, 651882497, 738371514, 730212028, 670786806, 645764900, 254796412, 251316647, 751996039, 33342451, 740195152, 197755335, 348153983, 129410108, 540397917, 91110758, 439931232, 354592123, 679460377, 1042906102, 733994144, 630201334, 401228982, 841599305, 659732115, 174247131, 152452082, 362384200, 683271208, 820120857, 433050695, 542935427, 744178468, 249600961, 852824293, 695624653, 168523408, 981981587, 273621738, 321785068, 13396674, 486619548, 726278887, 658888949, 77384103, 398311868, 862279659, 398338805, 181194133, 239887304, 4792156, 265611561, 991460231, 435369419, 190770363, 800478892, 345352419, 148590713, 724659336, 916068606, 470801075, 751493277, 765157962, 902829094, 810655676, 440610100, 1052504361, 1044399514, 201720145, 953998333, 920488803, 232660910, 868286062, 795534729, 306133094, 445964465, 1022904640, 249495767, 354003289, 1011646813, 1029510031, 280301528, 1006372266, 1015897741, 579639197, 889632104, 894179896, 259143784, 571139424, 514143685, 687147965, 797319856, 400777667, 871652024, 188459052, 624790673, 161631391, 572387910, 496022014, 64613566, 166251974, 942388154, 55334346, 23009420, 802721322, 605871290, 121392205, 1031820034, 17395333, 569697879, 130004580, 72894373, 995642441, 73795978, 338651227, 779637505, 808226787, 987246598, 497892404, 571489469, 1036443125, 445100892, 211708132, 357867196, 155384103, 792350104, 283737846, 312419704, 996069641, 306413461, 751392164, 854345332, 678334917, 444704595, 340531629, 487087030, 132202174, 299227832, 531923126, 54805669, 402338440, 688923603, 271516128, 655999602, 825712945, 777192512, 321075842, 68572233, 650660328, 732705814, 468796597, 402953321, 789074417, 288407213, 707646914, 678407989, 677767625, 852238193, 133737186, 135847851, 464597267, 291241556, 407227086, 871786510, 1064808054, 915583243, 11791223, 544099033, 487379866, 720042334, 850901503, 2361702, 472452639, 201838348, 895645615, 424003396, 112313999, 60450224, 1061799629, 372259428, 566804430, 334838123, 138655569, 1064272384, 574220653, 194119970, 156103589, 68696077, 918804862, 265109820, 381201402, 757478333, 1070280776, 30656107, 330002132, 765144708, 138477614, 64723956, 1009995941, 568552964, 884747253, 365708614, 839443275, 472700873, 142008797, 550834125, 407345182, 974771219, 1004803549, 431823294, 133822778, 418170980, 466461438, 85989086, 595324848, 615131315, 464866000, 839058139, 614400946, 513000739, 95328043, 63244400, 1013438798, 44279777, 567545672, 184838044, 312767870, 622349040, 672113162, 574144309, 199925336, 627007101, 153018515, 101474661, 70576441, 979924857, 844685979, 152503671, 809795239, 968138768, 277653991, 412744814, 518568874, 263393663, 190660559, 533372642, 212129857, 974100510, 1017065095, 101126098, 664469640, 61404122, 664342125, 313554808, 459667759, 706097010, 766716241, 713320483, 145469593, 841176228, 473006897, 553594962, 764665079, 513598124, 169971577, 889665494, 52513649, 319480826, 436800843, 1013941172, 84923023, 378870792, 471705768, 1068494314, 775209023, 175971471, 391856407, 994338152, 1068156571, 536072376, 956459595, 536364631, 38172604, 111439578, 172405661, 422596135, 3380275, 1024513406, 580068151, 162727584, 817739889, 862079765, 156366026, 845468049, 979432327, 441393818, 217798708, 755352247, 228588937, 346928675, 230583797, 620833769, 504111103, 819390454, 1025963188, 139499765, 408531987, 261630540, 566357725, 470688720, 502148205, 967023849, 311062835, 566032600, 315950985, 87243668, 139003652, 698872632, 520969902, 684565431, 238124919, 449124104, 143572713, 341186533, 808308106, 822160671, 167717529, 593070335, 792827540, 265934072, 393386673, 127582869, 678113827, 492498664, 317075087, 122388374, 626198897, 359390107, 482724544, 965991874, 322865347, 947954712, 552386118, 380504066, 534410397, 750769614, 38085452, 452187416, 379276884, 20525419, 223112780, 968082022, 363707304, 452716730, 1020533309, 318508535, 279519395, 226413591, 427862720, 988609498, 435475856, 358653123, 510874592, 884022001, 177719554, 986862706, 930232321, 627699807, 476643224, 112566207, 789923351, 343146165, 416579892, 520896053, 673462522, 924880826, 1013437096, 561626869, 986099816, 96034638, 255357909, 232289675, 395268062, 839413157, 141565027, 287741883, 555552035, 216412167, 439587177, 183541771, 570906573, 663725243, 35525382, 887038039, 703155799, 348419673, 842215877, 89698232, 399305813, 767971733, 9676167, 220095092, 371099856, 258505765, 520234975, 773634962, 592585437, 740959960, 377008814, 945387935, 1041058194, 487516083, 625140029, 905742944, 825013167, 23748791, 452258415, 196420223, 321732648, 101091936, 1046910691, 213245974, 594418974, 987900500, 23289568, 242235746, 695303422, 717654428, 89871627, 199827639, 351685518, 188118500, 222800435, 798539967, 661032178, 760946347, 374731182, 19387373, 340204983, 242660622, 979264174, 935630638, 360971727, 1065679450, 442926670, 308249351, 945905564, 558137478, 678778593, 684852591, 580871757, 647492116, 129086787, 569970211, 523629644, 1014513392, 617852517, 829736538, 29052063, 450541580, 475112277, 135861293, 973206461, 939812294, 468321729, 205256026, 1054512318, 981636051, 21488617, 327756018, 663809972, 475701633, 191529406, 430359567, 308815808, 990892960, 185814695, 672226786, 741086691, 437686016, 70677905, 928387486, 969061945, 808116370, 463284593, 290098774, 1059505501, 446999323, 552007883, 700314493, 608251808, 649123971, 495867111, 1009260996, 565534895, 663529010, 855000509, 301270823, 58967027, 340030250, 354750626, 795384538, 1050984176, 605420442, 577576098, 511629356, 472796269, 71642656, 163869342, 661758543, 362312054, 903778622, 1045852110, 1017551541, 366442451, 667479046, 1048159935, 487364941, 284152179, 865832975, 361037603, 785554690, 972216852, 826315561, 938574567, 655373876, 793342422, 424745882, 178569010, 314722701, 889957617, 451341676, 385212511, 69666198, 1019282285, 992657500, 794605086, 452844425, 599681189, 755453495, 337377778, 473899621, 236702845, 27690085, 72390979, 235171427, 698751030, 597906768, 363814915, 278467921, 490417066, 650994674, 160949423, 926670060, 668735751, 1035879372, 738630104, 768792080, 462524695, 447970322, 1021759779, 1040824753, 45899616, 698533569, 307614493, 111586033, 50829599, 437949451, 378448752, 314872223, 253583146, 368758070, 431922085, 473867505, 774915210, 500928667, 745281840, 726408239, 505841035, 571602036, 265181590, 541963811, 1006837677, 235400726, 993760378, 655771522, 669580992, 408969547, 586095490, 217384140, 756538959, 103588143, 955346892, 1058337942, 658347760, 390442223, 469191736, 1021493399, 10737530, 165107231, 136850863, 794613577, 1049616098, 243619071, 840417732, 696390584, 584001397, 292805751, 437017650, 441301102, 556072528, 533941054, 280830884, 144174038, 1034973483, 79006352, 454668665, 235039720, 1051470001, 924453840, 814420120, 177074559, 1037065447, 438301391, 728113472, 898948061, 144875940, 570693544, 226772073, 891722044, 830727261, 272094819, 837450905, 1033735741, 879429107, 396136912, 338611938, 691500512, 413489835, 2992974, 105173914, 111354712, 1054146716, 765270764, 960991993, 150277575, 277566762, 504679795, 133363765, 449136394, 971531990, 122508859, 84404763, 680267791, 220564414, 577762087, 292473871, 847743404, 648789923, 280775236, 196471276, 208137380, 573454770, 887599291, 711103697, 247761472, 249928890, 556704045, 875701127, 571545683, 282305410, 369118779, 756233352, 822496886, 206883852, 907857678, 956873364, 408455011, 369204516, 511207271, 242942896, 840653927, 399897458, 44430993, 675992283, 649923793, 488026267, 240910785, 726802226, 550479160, 809150606, 1071943929, 796244247, 684064843, 521770484, 773123020, 716512683, 35638469, 112355172, 774382013, 374388545, 465443288, 296557163, 990217689, 984576004, 20245942, 534414671, 780623515, 140212820, 859935425, 631747678, 886552380, 548779967, 727716342, 7574380, 345137246, 846978812, 327785206, 926123707, 311714869, 538185225, 764496088, 886893743, 121419000, 984365520, 723023397, 56921502, 723873569, 196939195, 110811241, 316207713, 288838548, 149232127, 331570595, 1364710, 203799628, 23268667, 258304456, 718054942, 434363414, 390147712, 125205991, 114129119, 184669338, 1046571336, 748910508, 823177989, 462329766, 305881154, 252312438, 106721007, 922355632, 1058617150, 1042338750, 1018381631, 815089977, 857836018, 961983433, 829011297, 154088631, 356117165, 617340779, 677512163, 270014690, 1062601305, 229230115, 223404512, 857979613, 1026982418, 741860341, 841288978, 931491431, 694205462, 1033706625, 863994225, 559065147, 421839337, 324069848, 383964313, 415899350, 112099877, 51164887, 415227416, 1072134413, 505515825, 268528281, 1040302692, 866213788, 59004692, 964930889, 298888588, 976272022, 797873752, 274080850, 901325667, 479210998, 231903762, 719674403, 902954574, 507182923, 495788345, 857148275, 477488823, 579902421, 762054915, 36436885, 972769620, 299785648, 1012551058, 482735146, 369766759, 906454060, 362547432, 868388572, 981234437, 399312188, 331724171, 57592251, 817489616, 475913836, 35340773, 994322287, 325788606, 308066686, 25548448, 572477746, 443399707, 960320672, 109088812, 232743752, 695971622, 249036619, 914357847, 582346770, 151689957, 971720956, 659822859, 405824382, 216046385, 80798437, 355777521, 765686526, 598054389, 1490026, 758257224, 706309137, 914146533, 388821928, 495816924, 899110318, 950726814, 681633663, 793080536, 517440301, 70166526, 791576393, 516111406, 46890373, 282144245, 533619806, 485011156, 485429588, 334905770, 871460012, 22799299, 59953809, 960832874, 184090975, 261093373, 850085411, 73427203, 764649147, 68369329, 694745674, 446164723, 39960506, 88574168, 817393951, 634222781, 978888228, 959901110, 71325769, 672783245, 847121106, 807105969, 319697304, 890038180, 93062327, 522610871, 101350018, 28501326, 294800161, 528118674, 610979532, 410587316, 598215512, 1016668818, 758381977, 233626331, 111750813, 545999325, 994024160, 623827902, 803656104, 796601794, 286771879, 306046953, 415012909, 345244310, 174910833, 1065625016, 136515635, 1068072872, 842584356, 250631943, 145672048, 104101176, 815328491, 369551750, 876466971, 364128199, 121880983, 560091232, 314385382, 962627530, 291510412, 86530553, 409305106, 335258917, 929158680, 811729325, 1025649087, 234204526, 15625306, 662629556, 232145323, 312721378, 837216799, 486273793, 123679947, 462801561, 383639841, 270606311, 698424644, 371872208, 320888515, 78577212, 197596618, 271395658, 460898044, 161119912, 827242957, 525144253, 103077034, 966379798, 802324530, 219700799, 822822090, 691805674, 452837234, 129660553, 412555227, 64817751, 796878294, 232682299, 408243536, 52652073, 221269433, 752460500, 128065431, 151436745, 661296227, 707462332, 513477407, 828235068, 902260375, 323193178, 519000123, 259807051, 668059699, 674998692, 36938526, 169440325, 364708575, 645135548, 382438734, 1017253505, 298457804, 206152141, 410110639, 699423047, 807394716, 721302332, 301864396, 884586671, 714672607, 226940735, 183811703, 422622896, 353378525, 956009538, 716614356, 23642654, 332928422, 330410259, 1789620, 752596619, 123041723, 889094677, 408820757, 1041203269, 805137029, 878881500, 155468316, 40579267, 364249681, 74643773, 2494598, 20976148, 897648895, 8356899, 481867465, 917717529, 565745188, 919711179, 412676364, 1028461806, 1000111241, 467151762, 483227148, 145568891, 600765025, 65738008, 520040021, 122928786, 622632560, 492837280, 979084726, 278724650, 158186847, 933008769, 570085347, 426066727, 27672449, 862367884, 29636704, 384173995, 130707359, 914793661, 93917937, 774037875, 249444193, 1055340003, 5130256, 820201504, 505385072, 925228380, 954456549, 336724271, 486876978, 1028587187, 555832305, 647335604, 341715221, 408461067, 536915982, 516623393, 60389605, 490627003, 446531374, 610230414, 100128193, 869163244, 153417891, 501847724, 235841291, 347068712, 252162063, 706725777, 341908316, 876484546, 308916947, 3132946, 70383736, 531082627, 398844196, 880967577, 855768776, 804306707, 271958181, 1063986549, 879614834, 886283552, 133614836, 671221161, 748589990, 632487881, 17374939, 13053888, 306629349, 1054600077, 468644116, 572469943, 1005326096, 283266230, 484364189, 959178339, 790664334, 852110411, 1028122916, 642230173, 693055183, 810696387, 493933322, 290537960, 788584648, 694848897, 837630696, 165229523, 64056052, 296617494, 844126078, 1049068779, 423352599, 95360354, 945147180, 691336645, 354402499, 605329781, 412322117, 268879078, 568874620, 23291662, 83519774, 324062934, 605060115, 870755101, 28265132, 480322920, 712584746, 551833387, 455427217, 66128861, 145603872, 1071066905, 893136285, 834911889, 406125394, 568852220, 196532302, 540332180, 688878948, 800576211, 464927001, 5318870, 88661083, 62460090, 35538099, 268989513, 853580270, 1072189446, 55611, 492487564, 64938807, 463709538, 628233743, 1018536339, 578363832, 48464999, 1021222210, 511028171, 403571459, 122466601, 77369221, 538329959, 994166807, 483908191, 399794828, 941036877, 802111505, 866952381, 616115469, 406548187, 895127235, 636435653, 774791438, 306050946, 744125412, 18735890, 119845731, 901484064, 472247259, 531576587, 755565553, 981962965, 409068045, 740699065, 953670, 959134849, 78971399, 1011992795, 371036278, 894976187, 996820936, 1025786385, 753632160, 872442612, 857334835, 53559986, 489294516, 461595787, 42025118, 949952837, 664554992, 22112080, 366412808, 491530475, 770336211, 175219508, 35372670, 547590760, 794657586, 397403009, 174794708, 922605911, 447757794, 1065625221, 191670039, 932716426, 687608900, 102122232, 362266360, 602408024, 943974449, 740601419, 727873882, 457109981, 109075200, 1024352220, 575260496, 226296676, 632597155, 119060776, 167532740, 1044691589, 496111013, 303327526, 1069986185, 1064266320, 240512351, 465746094, 1046609132, 488275622, 1003179272, 761045645, 324120591, 1002068707, 688632310, 38742229, 457940281, 291243533, 132069937, 270564278, 346997712, 20864173, 472604421, 649643082, 702603935, 491741405, 270552611, 186904466, 502878887, 665333791, 587474283, 492650457, 526102802, 172482580, 1002789393, 467338411, 398548282, 1049757515, 26775628, 1000127881, 716375222, 1008452764, 34389490, 33022192, 935845003, 680111047, 519764718, 446626279, 184318813, 130000948, 569069235, 834042678, 313982937, 512951692, 385008522, 272437092, 915665003, 1011643876, 498966370, 588116242, 530860783, 782739136, 2647744, 265903645, 939396743, 338753210, 975099928, 827289128, 954225313, 910826514, 305390149, 837380238, 252592313, 249558771, 663838259, 876855613, 867296492, 410301672, 850801222, 906599467, 824233442, 82486767, 324824765, 511624891, 351534188, 919497215, 732079700, 47870417, 745871780, 1062089959, 231032597, 823552733, 900024231, 317892782, 383264043, 914896078, 1027179523, 320437492, 89059919, 714687722, 5537696, 71666248, 981109899, 264100773, 982392467, 120283981, 533876758, 1011795955, 1037990366, 522206425, 178630341, 684592862, 18923064, 626031208, 739430685, 775133841, 247673187, 60551668, 979432211, 142468217, 1023913049, 569190392, 46260925, 605979919, 685144691, 1057441427, 594578382, 1050973933, 419928414, 195696352, 32021071, 264382316, 944792239, 1058245020, 843384229, 781289085, 832004915, 596821030, 333431971, 864871495, 923125303, 810249132, 820852279, 763098046, 548950779, 558797975, 256665702, 50148610, 672673798, 596533207, 85367229, 239897000, 860043824, 859446259, 916995860, 141948158, 129781775, 190700629, 578947434, 108902631, 602966503, 133758266, 436898622, 477173524, 487269690, 508821157, 302364271, 207375960, 180305555, 165384368, 216923344, 789724138, 568026150, 998538103, 874872952, 284243291, 744337076, 564775703, 340787044, 764666135, 572312148, 785535966, 78783917, 727674909, 377057273, 344468633, 238376099, 972144418, 640654600, 310356245, 255714354, 625246577, 851150145, 792580238, 996029979, 648224424, 794132997, 385574574, 638094439, 903443172, 1051851558, 45751819, 548032788, 695384573, 668234482, 543142855, 534557835, 571479216, 1049946026, 971696228, 141693268, 776571732, 339669940, 173819607, 930785430, 639715342, 341158210, 605020097, 984892631, 992966844, 731939091, 934928338, 590315758, 551916608, 1000991498, 896644777, 293247884, 1069763112, 476813537, 804692485, 974737589, 499809381, 979018678, 363503781, 455566225, 995707682, 768257172, 738157044, 594784176, 705842359, 601508935, 581700319, 542721782, 791467806, 625008622, 185241858, 494990461, 957013435, 771463250, 439121422, 450340935, 506935741, 553252823, 541405354, 89428466, 719487647, 95164382, 169777905, 563535967, 132709020, 336673393, 731530136, 715010816, 968632735, 637010526, 193806099, 743999108, 438683262, 1068149696, 322315064, 29910321, 420828352, 512244362, 959697724, 676428195, 984832213, 5895105, 598923622, 36138528, 433275880, 992460025, 513059505, 116669052, 157777685, 328511132, 594962923, 59251587, 404127373, 584650312, 181254235, 43950260, 234079529, 212419599, 369346730, 487550959, 429465133, 58113773, 343705182, 622421886, 357861617, 989001642, 764118850, 999392930, 901266092, 795827820, 313406027, 199949622, 949263337, 338573923, 878328045, 540791917, 1014656339, 217846868, 220685450, 244760333, 563092006, 611194064, 452763761, 989354990, 66635488, 941494079, 863614507, 311965213, 554314172, 655721148, 1071568247, 470248658, 895560763, 87177713, 939332578, 859010740, 460924756, 575492943, 422844066, 511485241, 77713665, 314228172, 733866342, 409570820, 371337119, 315292319, 839484869, 169452472, 340812473, 765059444, 532433632, 137188556, 747359509, 612556123, 46375461, 523120222, 1064157770, 480128124, 189438817, 499784862, 622751274, 68167058, 543188558, 472125610, 210365724, 282953029, 669506470, 409947162, 489288834, 209388993, 937793433, 289540497, 1050834708, 1060229158, 674235681, 69677820, 907175507, 29109370, 999526308, 725855929, 255256737, 159169203, 68951948, 723883831, 1009687989, 422969736, 101459349, 800886008, 840244095, 521609707, 496801315, 852285879, 574134784, 86241573, 841059264, 301659935, 352482297, 1064913674, 912779512, 820806900, 224541395, 302283943, 14026567, 84933393, 1050207586, 786517399, 33774219, 449131810, 382321060, 73164495, 935376944, 766130988, 147285761, 177471502, 87370643, 376808795, 913450013, 907284091, 795787910, 452916115, 262309665, 37044076, 889223879, 700088814, 687272929, 484073715, 676247439, 136583587, 360058328, 737255418, 2635436, 397839524, 119543758, 765742590, 773967159, 600489156, 112966947, 452334377, 428314852, 741796157, 302921011, 710385647, 1008264321, 995946935, 906641882, 758819845, 454837639, 721303825, 160980600, 882845852, 1018722769, 573868275, 696063964, 24120829, 80894013, 743339300, 1053020696, 971741929, 602027867, 894490258, 65894722, 783222811, 1063385989, 280741839, 4862161, 144838913, 545555083, 762570709, 184041419, 658795203, 245222628, 224970708, 587344338, 497296732, 526302283, 788030563, 763452032, 313147705, 944070680, 519807744, 109157152, 315782612, 504242990, 793110075, 173347453, 687059448, 214201454, 210628283, 775796072, 731651983, 949661882, 1036917773, 448699216, 149145972, 463712741, 668955841, 343681756, 526533997, 807151529, 913146512, 413990291, 429186970, 401351640, 299139859, 1053284153, 721122400, 605070485, 371948600, 20966180, 38636022, 885048711, 1003876738, 119975640, 260013972, 754000180, 657527934, 1044309502, 67108153, 20991852, 405816149, 706377420, 171928381, 976871623, 270263723, 659698087, 323003362, 462955224, 1037741320, 836825009, 737930986, 635151164, 258575373, 696610709, 660651835, 862485232, 325045041, 1018745059, 344025919, 739758161, 709328505, 615263414, 825866962, 848754220, 810918428, 320974776, 422438688, 441245849, 372746150, 648816810, 975410823, 1015977459, 950311991, 824733684, 168810324, 314563950, 102176535, 97892878, 672247720, 962077722, 928245489, 103190361, 1042637204, 894978090, 989090807, 283829434, 217915313, 288540818, 662297132, 236248956, 130389705, 275046202, 207563179, 336658215, 347461873, 1008086294, 283416124, 568299963, 809429867, 111126849, 982113719, 604500909, 785308802, 885970436, 323382091, 61852406, 715437676, 117235711, 234405892, 569548613, 548455768, 113863305, 665702329, 305284755, 46118167, 485962521, 795189099, 518570491, 800835821, 420301497, 254357577, 408858778, 490171814, 370944343, 943810583, 723585097, 710462810, 276202681, 938135349, 345076250, 384663376, 183139165, 973915761, 878317381, 815479307, 695977751, 445026354, 871043172, 282146645, 575594112, 213133943, 335063846, 902350030, 639159088, 700436089, 302731291, 813516767, 775353350, 567472660, 202401821, 53006645, 708286514, 77337376, 1060819994, 284989075, 165724268, 630091307, 1016467161, 491120105, 652589921, 26895326, 354529977, 574189259, 855208813, 1050589521, 272510399, 710332697, 634956703, 607038652, 130571245, 141273564, 605442639, 806632455, 105358268, 72607737, 519609160, 160337639, 954412381, 131171519, 1804252, 884737889, 748332697, 39981494, 411550156, 436426156, 676572778, 539649295, 896511085, 240712155, 474893727, 798657250, 996217967, 988624756, 1058032241, 260069709, 777664077, 604820570, 226959538, 502662688, 892834017, 389796176, 31335451, 717815877, 55367964, 737188727, 415880805, 1043181229, 1014750974, 1032331926, 539154594, 1006699168, 359052224, 385691933, 868392099, 612922117, 272667761, 5758610, 582576324, 560715386, 1002574546, 809946972, 519863725, 771186171, 74628875, 1072603896, 555043849, 287426806, 464730342, 239878783, 912233970, 65903991, 1021366226, 766341155, 554475054, 712121920, 571275320, 663055213, 967866936, 36683846, 387654129, 532249988, 285108169, 403165564, 10489607, 904083015, 1057301317, 223155392, 226092837, 823887139, 1024763113, 510591429, 304364495, 563764544, 1040013816, 131705955, 550622679, 352271134, 919297196, 407312954, 1027057715, 1068351116, 665087668, 441135684, 588695550, 11092773, 267708626, 480025806, 409787697, 1047130338, 23976402, 537025459, 738013121, 171123524, 914888449, 802747295, 885001160, 1020150310, 466287099, 934741591, 957316034, 312820673, 723412488, 222396793, 502475414, 439820187, 288314795, 350008227, 501910165, 649511940, 724119470, 240682730, 123110522, 199830198, 978904374, 658079974, 907108074, 591819598, 672531232, 1014943662, 381588481, 985266655, 529343426, 475621794, 717979596, 1014737518, 514949775, 299254392, 220562082, 1072582710, 1065083101, 288885047, 135084911, 414066811, 415494769, 810638203, 1018871568, 928757046, 538466065, 693931723, 566031859, 910137880, 458683911, 860023277, 792543715, 821779726, 572931313, 755345254, 918962397, 735355441, 591941021, 770419060, 16374236, 631005333, 696116172, 708983122, 935426033, 948158317, 150616783, 262886439, 45097025, 1049474306, 830392627, 368819645, 86946465, 609806058, 640645851, 937101311, 187800479, 1025796411, 48379106, 458579222, 669295332, 1053506940, 769178941, 211484835, 496027825, 868939314, 519265556, 729507350, 568375495, 538909003, 463340598, 394038888, 396613093, 641087910, 573442690, 832655044, 802846557, 255192881, 906862308, 184102711, 664309152, 22162923, 302105083, 124446087, 576569290, 267955449, 267289561, 891329490, 428129800, 59194801, 397666441, 379625035, 379972713, 773089490, 142762541, 58306249, 585988911, 418089535, 330049513, 764404753, 770741885, 173734485, 285135358, 758133706, 695391531, 1832479, 624792291, 1044042560, 1006014009, 158756528, 372020539, 522333429, 814608402, 142809586, 342663455, 704111160, 365223825, 1032640052, 777221465, 1034768334, 751917506, 546445313, 736875965, 583459773, 833780133, 441033882, 517075106, 1045664849, 268258112, 839320947, 447650223, 628480665, 305378516, 150544672, 97190843, 177622205, 665741095, 798163617, 156263806, 952391269, 563092862, 936494024, 15589073, 230248020, 713989177, 155357084, 127299031, 1026711043, 840344736, 618546058, 247335657, 479636126, 756226, 1023624410, 432186439, 983382907, 1027680632, 1038938157, 617258656, 845985600, 597562424, 746483224, 871652307, 218787793, 27268449, 119253279, 840969322, 356726993, 31598852, 300501129, 267486033, 976912028, 527108061, 652413486, 1035627736, 839729932, 554713824, 4181062, 24654493, 97654833, 826799112, 571310292, 976234743, 1048583674, 103364584, 895264949, 828172274, 485291550, 1007754939, 378399575, 592790074, 296727728, 705590606, 611598370, 233993323, 664467878, 341727877, 1008212654, 532561458, 556370930, 239790696, 1022895724, 133571344, 60209907, 1001771928, 46596793, 583230331, 375810946, 431425019, 177332957, 987450149, 42980986, 250213311, 101112827, 206329500, 261548521, 392823493, 872449801, 822237630, 934536788, 366332159, 78033402, 883603398, 136573517, 203812627, 837239170, 394619645, 726662047, 202698388, 565020361, 801603818, 42689743, 49248710, 128844668, 837757770, 575706382, 292031323, 945417294, 519644690, 452231404, 519659499, 67084733, 632065886, 442048359, 241826639, 1030476208, 567336197, 466504314, 1020931493, 439621953, 831643386, 395799782, 724595336, 607112393, 1038740244, 224974211, 411084695, 512252945, 1033420304, 727119469, 773125538, 346754479, 437697512, 367427923, 756088007, 346813370, 507600494, 239797199, 566558944, 521620184, 368278352, 938969680, 239316341, 842878483, 639995096, 777880378, 513436661, 618592206, 145054926, 146175997, 981744875, 572826736, 370386714, 740474588, 945982530, 440660386, 361791470, 780558885, 147313972, 672823097, 684375624, 649668, 577621069, 621736501, 772746170, 376474778, 664498828, 440288833, 334814672, 6529534, 17303269, 734591553, 859452470, 294421153, 255395253, 467903108, 509214856, 619654460, 826187713, 63385752, 493857912, 1062604445, 257886413, 20375208, 383858587, 933299853, 455054399, 436325475, 681796407, 589378880, 142886530, 98241065, 231225851, 92241762, 960053101, 71147822, 451423475, 153392659, 308130519, 1045739793, 673526090, 989791424, 800983515, 191869332, 934965840, 717356540, 504515754, 156949026, 748861693, 641823355, 282334121, 193174245, 563594024, 235746498, 157208928, 166146388, 335448284, 1035406389, 633833171, 901133380, 958814849, 260877988, 348627705, 961360195, 36993248, 295751634, 169833753, 321827353, 799118020, 129183101, 1057810273, 92375759, 600588778, 1002203364, 161062107, 206381321, 558530570, 727124158, 81558773, 342714075, 708709143, 701263952, 1038056584, 561766359, 864335311, 449791774, 393359407, 286591290, 1056887984, 1050552170, 1003769042, 304612739, 811531363, 472151229, 778417761, 638082947, 26313868, 339693197, 935792364, 536062302, 687725612, 100297311, 981810915, 404382989, 729633329, 982245293, 75343718, 521425096, 955407878, 755092448, 40961159, 528254597, 1007401894, 372750771, 970205566, 193755003, 954943222, 652091365, 171077071, 303926331, 881368429, 646176297, 441989618, 862016969, 357580707, 387911186, 1031185098, 834321146, 970295239, 9892511, 370573653, 900460963, 152949609, 797906941, 949175140, 30656448, 788974430, 406145904, 944985254, 429104717, 309687123, 42191612, 29801412, 588585151, 550493845, 245125311, 530083512, 1064390176, 530534816, 1022489925, 1021780875, 424200347, 777480047, 992881638, 1039017794, 503438624, 565513702, 595610557, 588635943, 859001662, 115125359, 717410864, 818149788, 1046226345, 33416172, 935443951, 257117644, 936893289, 839493104, 815326807, 429979185, 264688652, 123286378, 1007029629, 1052795087, 257820305, 966933496, 36917174, 988258161, 740844550, 163374102, 676170372, 874126111, 783145141, 167433733, 648249273, 119171400, 362284684, 373015897, 62417637, 405652964, 197891829, 670046007, 861085525, 1010208173, 193838261, 1022221595, 496468540, 35158211, 1055609147, 938377507, 882126849, 819494302, 667209338, 172422736, 140454453, 67347787, 547438117, 221997990, 544819377, 271074238, 179397086, 842979269, 272476581, 952508873, 271365295, 971836138, 707896162, 815450677, 214858246, 701604185, 54893563, 925156288, 704552311, 635439607, 778099561, 296596229, 20897473, 646624373, 341804168, 161069517, 25493678, 475745029, 721016666, 358520002, 126133584, 22788329, 576793543, 466000869, 1072470307, 945680698, 822286426, 590485737, 907812136, 366984867, 870145759, 1072079287, 848268623, 3594371, 509491802, 593985456, 605966143, 223305555, 848758759, 258710435, 694045703, 572511854, 756351041, 1045618697, 233445209, 459479643, 367194132, 18331317, 535657967, 454982151, 113335230, 769298142, 629599277, 472565473, 351790062, 176945064, 1050790531, 679600018, 1036241902, 1005739603, 1004269862, 141587805, 425152670, 69511960, 1049429395, 881404217, 143676958, 300616247, 759928426, 215425350, 628512113, 720557042, 222058674, 516184853, 119635353, 633512367, 82953565, 992416703, 917868687, 564614774, 735120088, 437061182, 1025300835, 398800896, 521397579, 1069560419, 388171129, 801577737, 46231208, 561837370, 53385569, 721630071, 985124439, 967939183, 484898086, 91506573, 323363404, 964112812, 892188781, 477496120, 1034537807, 834913770, 197513521, 620427150, 113089473, 256301236, 1007937362, 126294396, 393930539, 744208431, 970449640, 39980374, 663420642, 102552774, 381453925, 364893601, 594897441, 817691778, 282044594, 980533491, 429808549, 368062525, 204842887, 270554482, 786274065, 170377218, 242250507, 166843498, 450256168, 702254113, 79564177, 656583427, 249450226, 216798331, 251867954, 524983399, 526806876, 326084812, 966118898, 844823874, 941102921, 414187656, 177326331, 169785762, 474972224, 245655782, 32157641, 289584577, 817217541, 764860565, 720678701, 651210208, 501718485, 666695204, 469034174, 727188820, 504661296, 237912866, 922307585, 149196285, 601742853, 498907137, 350695312, 754815300, 747963435, 706972876, 290274657, 93041181, 521339882, 48979558, 185674527, 178756698, 778183931, 546338015, 34486887, 472279230, 522709386, 759376034, 315624372, 183079047, 835641728, 100377733, 151853356, 755980702, 342574603, 582115028, 679827520, 731671619, 136383138, 852917044, 542267036, 912245678, 479447790, 200360258, 1009574127, 799846081, 973645404, 1015165911, 486601916, 944447236, 217008077, 836285789, 869154636, 584135049, 195377146, 1018789020, 253401283, 784378174, 903079080, 79229755, 775341512, 308630946, 181291842, 723194408, 519317381, 1006454179, 151860663, 765790860, 698451145, 994960748, 663984242, 882614113, 1052718989, 151583332, 821823295, 843299267, 310050027, 834084164, 313033943, 656572588, 127059770, 953846085, 1027031827, 878366448, 1032223496, 703245877, 51227079, 745414932, 354822761, 959420863, 909315893, 842812728, 669285989, 900073243, 982448126, 139081568, 192950629, 433233004, 654201196, 992635751, 795234115, 116640884, 760119918, 443197999, 832857361, 881141328, 203090574, 831669136, 347927809, 657883157, 586501093, 238308876, 365065488, 949486621, 871963368, 577664710, 1005146791, 59494224, 349030145, 693797107, 470498830, 42640747, 266189638, 1020770465, 547228636, 546872658, 627202525, 740062461, 261663497, 351026095, 155497564, 1068759577, 354733725, 495678522, 589741499, 175527706, 906080488, 124680636, 153950475, 520953662, 151347717, 631647231, 939391083, 506737692, 940068222, 471678048, 161055893, 368438751, 158808580, 389089350, 977623280, 588366841, 933986950, 303214435, 781030991, 76714666, 623190984, 406111679, 462619383, 438149615, 463587388, 492237804, 620367095, 726866928, 785766754, 943869684, 12712453, 55618204, 882743926, 709297068, 402840293, 849257590, 544676398, 128013021, 496982135, 211509440, 129698740, 363691230, 729777031, 461743010, 157418005, 76735869, 156752251, 317098156, 434802212, 591798124, 463666503, 128053022, 804555190, 347429512, 536523582, 815212287, 390876522, 815651620, 527474410, 1050360973, 876850515, 875044018, 1007201294, 485808471, 427595901, 905316867, 1018714840, 66181911, 344919628, 369872454, 506694755, 448916209, 972202893, 896026924, 381175391, 176780314, 430577967, 589925298, 12417929, 172293841, 1053696735, 376161339, 108451540, 852962185, 467722169, 1066282812, 737225759, 75999366, 110073943, 649065442, 289147335, 275745614, 58625779, 732028101, 909333236, 1069322024, 907570454, 590431189, 598193230, 235629313, 509275695, 487681899, 371325511, 923942265, 748523051, 1010543592, 189383649, 81586800, 350731002, 300545690, 928040197, 649058173, 846001271, 248918313, 542740266, 71496987, 266084977, 862586625, 201364287, 210340360, 857587453, 160907263, 987262004, 451493545, 1007481136, 938245324, 806744378, 965852686, 453659581, 967083135, 1016434334, 897504343, 406162067, 644145117, 224964881, 43935908, 755202033, 647788101, 966027173, 216428915, 94637244, 630929886, 640423265, 93731140, 1012767064, 243137177, 633438744, 389953002, 14922193, 17941498, 57407150, 724465319, 409982105, 1019934753, 901892792, 174662873, 142662821, 611880162, 600101657, 879141168, 364763981, 141436673, 1053172015, 142425767, 688751346, 577064860, 753648063, 134222468, 992779290, 957582215, 180353061, 230972973, 424913525, 369342163, 534923822, 685189029, 930875357, 447822550, 537877366, 219165988, 250748125, 417480563, 280731548, 512749385, 151770203, 646020064, 847856670, 471607684, 539238605, 872743360, 119006715, 72540559, 602940741, 1053443356, 673127734, 282880344, 769739345, 324597471, 464755693, 671272426, 223658372, 68827173, 266762760, 881131238, 538099487, 561529015, 967665030, 807844867, 118793576, 297058205, 831692297, 312697976, 658944805, 242508925, 898771556, 791308242, 931217074, 629959296, 722075173, 128218721, 854295901, 377759743, 380979857, 891882913, 313773152, 46131205, 199583869, 410069340, 906479189, 46163851, 933962007, 525513333, 587300283, 886121105, 517582960, 763789503, 728263738, 1017369076, 471547292, 725704045, 719744134, 838875198, 1011984739, 216827997, 294676682, 652879743, 821966907, 601147772, 55318257, 749083410, 908287447, 448634289, 86599018, 1026093456, 465280070, 245978316, 900724581, 306120048, 124704964, 135334154, 384829478, 436345633, 312030576, 624551098, 330452417, 457988520, 88855688, 210772562, 184936781, 573633027, 306475284, 825658456, 361149738, 639935772, 993720215, 281575941, 1030551300, 611460839, 983068103, 1069203564, 876673841, 723814417, 535160846, 642143710, 689016201, 585256800, 936631596, 1062491972, 949694163, 552212330, 15466551, 592949729, 652179657, 622140032, 673633881, 531202052, 350553335, 504152021, 723983992, 103700470, 90890308, 908103095, 402007657, 100264477, 369699045, 745700614, 888113442, 897023949, 788517814, 864820496, 630914997, 1034366846, 42600369, 842799411, 160399432, 153768959, 414549863, 477125081, 73964639, 298731446, 1032251157, 962848219, 906672293, 950176269, 455015689, 1072020716, 506360408, 405592234, 598084270, 110942930, 565046011, 40977995, 27252296, 733795411, 517083235, 364904752, 279267907, 372511222, 759005903, 382887973, 379329449, 75955718, 123118212, 147812897, 174347403, 716128427, 380644527, 555620646, 513752361, 1030071781, 907638399, 837787921, 424922278, 1031909301, 298517525, 655030906, 101168619, 428707048, 689538221, 309906329, 558597254, 714035569, 1054163532, 996208717, 33656959, 930251432, 379705933, 255258625, 1039860028, 925368546, 890231943, 125870119, 682944725, 671823856, 402451951, 288422562, 112660765, 698967115, 356216265, 800295142, 951239947, 263449039, 41178452, 1025455943, 831691539, 1006856847, 477400005, 304895026, 733581937, 102303176, 113776073, 26449099, 716469150, 803023100, 965146221, 753595884, 19281388, 103648654, 837033403, 347369991, 655934984, 938585753, 83078533, 75706508, 775084740, 699955727, 201604503, 739948517, 917688270, 388489927, 726072449, 546244930, 619854164, 268344247, 510032638, 677599735, 413588282, 254654349, 619583964, 581103845, 349265948, 419519366, 560436036, 624312897, 303316317, 809485205, 1007415377, 121898736, 14039245, 21093319, 176764664, 250760997, 776876049, 173179574, 134125357, 81658875, 83863919, 118114802, 1016708458, 201932216, 466841118, 586774111, 218097621, 266324312, 684593517, 693347254, 171442677, 699293351, 347815381, 444583210, 769407049, 351500599, 537079992, 338586984, 355814356, 392432807, 1066489992, 454154712, 990156765, 224310140, 185132891, 384530285, 637788389, 98879251, 304505614, 705088873, 302967102, 808590123, 377503795, 677301694, 945884962, 706267313, 349129921, 782356899, 453781973, 712752282, 975169964, 281698245, 83079027, 605320667, 66399152, 812434568, 428074545, 964169857, 781089414, 1001595794, 1045173291, 521773566, 231625959, 644060346, 150576512, 370437196, 37212426, 310032606, 541599111, 116644967, 857488373, 418062782, 33366044, 288322232, 487995515, 379459551, 28131490, 375512983, 1031012164, 245443820, 654582377, 542558859, 65021517, 693153851, 61953077, 52383324, 487427099, 904479633, 895977710, 908568846, 704762021, 45525433, 277774269, 887738924, 220641214, 475182638, 600475108, 394347901, 864936345, 958295783, 612669343, 228408662, 121634125, 182278053, 713216079, 484881809, 939410771, 19542860, 705918104, 468659130, 811931447, 358074255, 90597776, 634506023, 333979484, 616325881, 681732691, 70206831, 521480555, 827531491, 35586517, 565605323, 447941886, 113917165, 526832069, 677835226, 1020971118, 962348170, 927180869, 881477639, 755748410, 58437030, 263512670, 1005151623, 189137799, 903506033, 697943100, 290754745, 650429920, 392814204, 846826365, 812724714, 591482755, 65130999, 211735249, 928935183, 1004216992, 726061628, 689628655, 50010759, 489972028, 928122442, 955882851, 726788120, 1014674953, 130726212, 1039122506, 97736620, 951246469, 922520647, 1033809305, 218645237, 257557968, 375725225, 185779975, 634577261, 786318580, 752919741, 569008230, 581631086, 411310470, 463438544, 359303838, 56139361, 683957893, 687676865, 567961284, 427550647, 175865253, 691900418, 799986826, 202099967, 415502145, 738483767, 656604289, 600108446, 688736422, 937211304, 125157686, 237109052, 542088746, 768071092, 157594658, 991313645, 273868555, 863613391, 310643454, 514252361, 274896353, 418447602, 680210719, 424664548, 249250464, 986901193, 726606629, 803502230, 412207582, 626579550, 389953547, 641137606, 223202066, 779129418, 776471970, 344601428, 404820980, 739853676, 79861419, 264320891, 346752790, 1000669101, 673864257, 354268998, 671787967, 344027004, 315727226, 566325955, 85218073, 276833010, 80795346, 151864544, 330557600, 506289431, 70854148, 336457641, 224974770, 288968977, 60102368, 489572541, 913506967, 203948178, 776650913, 921183352, 677308894, 129364635, 334619772, 297954, 215098514, 362752149, 266872112, 550666236, 425795641, 340817315, 937862003, 934859384, 195567547, 196533766, 2011580, 1009756503, 161285319, 382309804, 659516923, 408351510, 333631527, 638141621, 817285056, 421579036, 205949948, 292814596, 168996002, 550221677, 503922580, 473210583, 731193274, 214221724, 843329745, 469279124, 19537068, 164248383, 886225791, 620402657, 479914111, 494435125, 817778122, 642570993, 292765452, 49607073, 538067893, 276759122, 957646260, 623755526, 469268039, 252100071, 376819034, 105232300, 275833580, 984675484, 572707310, 845934626, 903048316, 406860317, 521432637, 40392408, 842620060, 1042867808, 35176930, 1046302903, 989268052, 74621604, 263611696, 322807665, 371179958, 205171827, 1002604485, 10710874, 1014918299, 174961680, 859958159, 410744506, 924779893, 938205055, 776938966, 555629851, 589830505, 677311607, 947248478, 263555406, 622436253, 156381638, 311358385, 1027003598, 303733842, 470585960, 1032890961, 1073270767, 441422126, 57326481, 759008716, 618602301, 780191877, 865739701, 285697317, 715421255, 622509844, 807067988, 898770483, 610323045, 624895724, 563865894, 482407423, 337225455, 844755743, 896012395, 843242088, 574735549, 255426222, 367128049, 845227309, 106486587, 935067557, 274902540, 411475481, 544696318, 193119623, 1055531418, 1067154974, 827252699, 110096697, 827756961, 794639978, 804904134, 167331342, 527695533, 619675514, 552310636, 1047225603, 560699962, 16587897, 798961468, 338437240, 949172988, 15930102, 384438768, 211975450, 650825982, 714745625, 960334122, 611057133, 373251494, 720091277, 531799724, 826266256, 449313362, 484592716, 996182817, 348238243, 326849569, 613310217, 822145678, 35549126, 737538114, 86750303, 29986125, 147806788, 199506625, 757407980, 1051769028, 1009462482, 1002807110, 558260413, 873628838, 311171257, 968139054, 569815111, 162101120, 270466686, 989554354, 926588566, 309559728, 286787375, 119822631, 903849398, 392562906, 354974526, 102709484, 311752274, 434524770, 961551012, 198073070, 854139984, 919248819, 870563425, 863461138, 529051433, 718628013, 683665285, 567460757, 76246837, 788023614, 355345557, 795938204, 745703273, 615674891, 116112098, 512497895, 83573243, 358534639, 534370342, 585992473, 735367061, 242964734, 190148693, 955638002, 195058861, 957670009, 1516083, 853018743, 1056500611, 193261654, 562113669, 241032685, 107310123, 1018896027, 469274265, 1036342855, 728999916, 168445005, 327576952, 815637350, 150816533, 524778383, 1030846204, 865617543, 844036633, 306392874, 626254725, 121059398, 206203269, 1017316127, 372485553, 799258881, 117076246, 495343412, 955662580, 409860185, 791736774, 584925788, 947946755, 216965428, 297466087, 981815595, 511908989, 520449226, 783228875, 936049282, 464992092, 364849451, 23752822, 59114158, 393587917, 1054567934, 736206130, 937767979, 293721068, 410446409, 955314137, 160941324, 295411124, 940968406, 876164268, 482090082, 542072549, 520007052, 282055602, 571998492, 693311644, 202303485, 33885548, 676256827, 968938010, 651350564, 548907483, 967249150, 158475363, 292463000, 199991113, 789583484, 45053476, 830316130, 406448732, 199626343, 1018828161, 649404639, 868820599, 1014249799, 262986901, 298442169, 375245390, 746981339, 853378581, 109856759, 775376629, 151249637, 626150157, 859868385, 362644610, 849450999, 170393379, 331759659, 364607748, 237884575, 719789916, 884717489, 752252287, 359470715, 892163255, 336878121, 124075906, 684848236, 194085665, 218691572, 845213915, 751939400, 550909066, 462473201, 485448518, 233630301, 240564350, 669395820, 729009767, 911919998, 370943160, 154017234, 905896836, 769356298, 1068448549, 782477158, 836113313, 163915630, 12351368, 145091904, 258799863, 321963936, 803155605, 250272604, 172287012, 755944061, 288813784, 177136386, 1000388517, 250938090, 708865978, 326969334, 524240137, 452701508, 287156660, 462231463, 876186335, 919760760, 423571549, 958750836, 485371500, 899224843, 236757076, 301396146, 871823954, 852016565, 249016240, 90627026, 341365049, 445484413, 507510955, 806152344, 564271858, 194305090, 815643028, 608909215, 179909579, 1060943567, 811869483, 49018655, 151564460, 932382769, 1071697931, 1067640537, 847313198, 255556471, 926444415, 1070860, 838662338, 728816339, 269441046, 310294205, 308143253, 23552076, 80556145, 730020822, 1063980193, 694078875, 833375571, 1007714571, 658718754, 992644641, 288424611, 605942591, 947763013, 360436822, 608885095, 492380323, 488488159, 156563936, 370122015, 305131169, 623061349, 911452634, 519181746, 271648177, 908678017, 535677906, 479509411, 45126190, 646997362, 15755962, 234310619, 419002755, 353627559, 991436030, 473326408, 714467027, 287745689, 425829807, 178797811, 543422227, 983753465, 498257482, 695201020, 225700126, 593095092, 16227448, 162164388, 35610207, 59966782, 840333812, 877231117, 423159458, 275442511, 528998647, 54709151, 420149303, 946966477, 701212841, 745822265, 531058340, 204637905, 839952138, 1072335204, 427874230, 313006181, 166643141, 254002649, 951123513, 1030588298, 630290898, 126836253, 896876353, 972876629, 321310055, 317467848, 394248801, 412805399, 732339705, 905705459, 394349892, 715017574, 396465193, 995610417, 176903780, 170390315, 538211122, 173634167, 68744902, 142712576, 607997491, 58706137, 830404229, 200474455, 1019657166, 576518564, 387553344, 790037145, 1055095219, 368099496, 367329907, 207156514, 817355054, 176927391, 125708508, 461668244, 597212147, 181632967, 542771640, 814106692, 148232400, 459387957, 473941601, 231560583, 214113654, 861239263, 337455099, 113800158, 533636667, 588406917, 255546211, 573353217, 831795138, 286225968, 789287795, 761009634, 535740731, 528894924, 85248399, 974604335, 176672013, 333942933, 816732325, 843567788, 47367993, 563084313, 948570483, 611757998, 739596776, 272124246, 835078228, 102643763, 146265882, 571709686, 1058811951, 708024996, 937520484, 73527858, 32661477, 140129745, 223082405, 35004269, 523160454, 1003659816, 303173879, 96173826, 353586006, 644750836, 102088817, 591490078, 511889779, 348297906, 772123185, 756251631, 43060422, 735918622, 935188686, 59012599, 861833647, 683792483, 540964125, 246618918, 638279153, 1049037363, 670738782, 346511348, 714456766, 605951312, 900109132, 1067368606, 499799409, 40315347, 464765322, 140582406, 972993358, 2762980, 441301237, 888341677, 687746269, 144495365, 852853885, 58690793, 759165095, 823830572, 851229513, 57275081, 216058082, 344690747, 826037009, 302667503, 617688291, 455066165, 274526532, 102412191, 532375271, 512777180, 102525487, 262095631, 367593552, 162068798, 225435705, 754568337, 536034207, 702338968, 428300527, 829109876, 354694809, 249365591, 661769351, 135402525, 93701487, 561697095, 800991172, 828206447, 894144647, 256584159, 986764715, 771878620, 756035068, 24161336, 811898286, 898813998, 420348533, 735544921, 122768532, 483510170, 1032332689, 722973181, 617080017, 1039509481, 823189745, 84797267, 374038191, 843171013, 272543432, 939132739, 337391593, 319159958, 48258588, 970572900, 834001231, 218735941, 426951716, 455545938, 594430030, 441894041, 527225364, 621130878, 667988900, 153101340, 183308377, 407903687, 542285924, 342198293, 340839502, 750972509, 349989363, 355455838, 564156017, 953782872, 724855226, 193200311, 749378833, 997662358, 854805832, 520211827, 643319945, 49063368, 16210067, 239079245, 614371241, 696010821, 740436439, 923161855, 859757960, 984049548, 941890655, 856224743, 639024594, 156091936, 527070872, 240182941, 37230019, 247104465, 418126148, 213532784, 519248531, 1011536938, 474345355, 58732859, 582327174, 702470572, 231468187, 223699522, 227004211, 503338657, 386674679, 112486538, 38742020, 349502138, 795309497, 381250132, 90514434, 742475233, 79996506, 402103790, 750725133, 449911600, 270375102, 544384455, 453917937, 74160385, 1046183604, 210394922, 69296668, 375862960, 1072881611, 80979547, 761612568, 257658540, 16344608, 493779674, 836327003, 26759206, 171225729, 941346064, 566593583, 245592213, 99471503, 297150492, 407899280, 216415371, 895984750, 27232569, 257001975, 582047995, 948714785, 958741685, 879979659, 57937636, 239097205, 914976021, 550288300, 629706142, 218961312, 780215312, 352145098, 377050359, 741044248, 256211803, 358066731, 540912868, 129775737, 594994524, 1026636961, 192567747, 425686216, 303828688, 414442142, 49355221, 1007821402, 250398732, 763615633, 492847730, 277928406, 286143717, 605930558, 807753760, 63965415, 862518947, 805891307, 661184454, 756991365, 975981169, 618911236, 773511065, 804579619, 816105645, 326139395, 80071028, 966509751, 855163782, 939767249, 225346486, 13600864, 5619369, 343988473, 382747254, 1036253238, 943723446, 364004871, 71412113, 732206733, 39406121, 452449725, 1053991697, 44953053, 525425080, 175006374, 640266691, 275920030, 224704851, 506462380, 295192183, 96223894, 148957988, 61917978, 250199447, 232429237, 1016984745, 601155210, 884966313, 937168928, 1001799590, 555000566, 949332389, 497257229, 8917968, 827977173, 629821620, 801902921, 540340840, 170196001, 983734392, 501701031, 884504611, 596492471, 313501032, 517221971, 654305120, 349312277, 634117962, 845898338, 731529127, 524530474, 762670296, 629843643, 1635274, 1059551058, 519964639, 363242023, 391403544, 99591069, 851946162, 715762193, 489686328, 1015386981, 635868766, 527710796, 987639622, 839898497, 349405777, 249005441, 987959666, 209922027, 226501597, 148230586, 12892967, 210244395, 122188294, 723778232, 603852066, 785464456, 466300086, 1056690976, 755803542, 42859910, 824065621, 1045229938, 310041213, 986982739, 309893063, 167678492, 203270367, 1040215566, 180106002, 678567027, 303812677, 465382841, 642281419, 314920829, 715328052, 579755280, 802857267, 922676345, 765115351, 974636121, 549549580, 550263932, 297189890, 135278252, 1055590851, 177212111, 647401719, 178419252, 727363780, 956073504, 883084743, 970821574, 480875813, 371874248, 567063567, 201106377, 1041602203, 992924456, 368604965, 594303713, 146723214, 671113471, 545689756, 720597896, 895160807, 450466011, 352951441, 963514232, 289340580, 282971377, 631656626, 48833612, 836336715, 545831916, 717586883, 690192537, 706355018, 110999303, 953788967, 931467446, 518145647, 384445784, 49952954, 122523033, 728321992, 92573537, 203585360, 1031550420, 530506686, 1058607529, 369267461, 678627594, 1012209240, 51647296, 246868895, 691023221, 1033461098, 901887153, 321867711, 234393187, 236084045, 675785846, 854302634, 742360196, 377881317, 615621728, 15940728, 598419456, 939625293, 417255540, 572909227, 447272528, 197750580, 845845299, 541786462, 936314829, 578757102, 14016040, 269887377, 709720185, 252356561, 576672689, 625221970, 171907088, 910665814, 1045136216, 195889405, 22974825, 813456585, 868347646, 507388405, 1072370954, 646175018, 65311253, 749326179, 138561560, 602507622, 923372002, 498498262, 649467057, 183623056, 287402157, 40391926, 1045126113, 794326799, 66138605, 588363783, 509052973, 983140782, 931922980, 464784754, 144742096, 171276312, 215770364, 512757499, 417785493, 795187036, 204475655, 317446061, 747373433, 353291309, 537739527, 266326505, 313086531, 720095395, 1051402574, 660566972, 21150518, 932935670, 395204524, 397958115, 658286450, 150665245, 412920239, 868653308, 761599492, 726901942, 708119231, 965930587, 413633852, 816883393, 478493109, 1003340330, 920864989, 299620450, 144472425, 379502670, 122747690, 793937520, 842591724, 889635265, 1020794129, 263190067, 486448854, 73978782, 232673825, 746511388, 890952604, 398276091, 856311298, 752614891, 393149499, 475449520, 214804653, 284407059, 733888103, 516372556, 274370194, 380743780, 174941125, 651021045, 500677839, 838943238, 541853452, 783931744, 1010283213, 26249984, 303414221, 58865244, 230293125, 605285198, 27080943, 735088694, 378834093, 580872014, 150336561, 110183096, 189718354, 894547450, 440170428, 718673563, 182253592, 1018231253, 867184317, 129577868, 200688373, 1052150161, 264257513, 538640488, 251185232, 594918221, 805924549, 24151247, 268161595, 778252034, 479231185, 655867724, 492132513, 406607118, 908389676, 682274667, 466543796, 555015000, 18085910, 1069173664, 631606328, 580479594, 790950809, 676696811, 481700881, 945901039, 582381147, 635513195, 1061052120, 426910800, 511074078, 844071224, 626679107, 1050314649, 108284558, 1011119188, 888922261, 433172870, 382333829, 330183514, 887269577, 662577037, 342037982, 770228107, 939983471, 66902908, 475881032, 622958711, 59553013, 749200139, 792120962, 546515934, 261659249, 437634991, 318971359, 980252540, 185561519, 977030139, 65710684, 922399675, 608541244, 132563230, 186123808, 332324133, 86817698, 8536565, 885670820, 144069602, 131489973, 420907052, 578949007, 13020958, 861798830, 1054796158, 51428271, 330547341, 970329183, 888980004, 521436896, 72012492, 427412798, 958046465, 994537113, 800497989, 70606697, 883011952, 36490366, 780541546, 218459275, 580745836, 1026791317, 1000284668, 79276971, 404395849, 762835537, 579925355, 547683937, 892586162, 326239120, 118758403, 966898678, 375702850, 779480686, 512233153, 53969203, 163622053, 377920573, 493141126, 476402036, 5320249, 540853843, 398527644, 856594646, 809239463, 573509814, 475732609, 457791559, 999934414, 349190099, 457699459, 978771551, 244290570, 957330748, 501898827, 1028264807, 409389734, 9585358, 924022714, 72351530, 482084607, 706548444, 191792927, 246371796, 621312927, 255507687, 997026306, 817679572, 444658675, 735699918, 853228738, 188981139, 550406901, 357361432, 27963454, 822198263, 398777474, 1010915552, 456773967, 902067213, 543466447, 156924626, 752636536, 507535100, 878894403, 668327585, 677589007, 767927642, 42428795, 997894505, 800120523, 859286291, 663646671, 757325263, 1062695561, 151201863, 482999486, 53540402, 965959438, 586091213, 159665045, 456607315, 125415093, 789879630, 375366906, 705351234, 349399003, 24423805, 503729817, 625154089, 1025704952, 672075779, 985455340, 240154545, 762647472, 979109733, 636839609, 678823508, 55946747, 684250239, 176201714, 553570065, 493560684, 365936100, 152822313, 964962271, 463786288, 1012570693, 585160401, 384353547, 742063850, 420473864, 213050457, 553758632, 531077162, 149361478, 1040097823, 224078240, 788124801, 1000970453, 494317234, 856248015, 623892681, 523605241, 766352177, 565668536, 458293565, 945884655, 191229692, 320805342, 484875502, 641853027, 1019508069, 1000674411, 1060431008, 538328595, 5853451, 696677629, 145399121, 568001927, 686473958, 920065847, 124321326, 419292710, 477058717, 513276076, 163498850, 958428408, 368238606, 413239283, 312059714, 871350873, 494616137, 900204154, 1034026738, 743756084, 210514364, 380792673, 381564359, 172224040, 914810454, 546043542, 157332064, 2941869, 1024435089, 523307557, 967416612, 567108960, 1063955160, 135740541, 600844325, 894264486, 702146950, 605353581, 904491414, 225982422, 719843748, 330153552, 1058309062, 584553241, 737311513, 738832083, 101035498, 242699368, 513751959, 630062913, 290556770, 846040750, 319947937, 874958655, 562396319, 871500184, 899144205, 294761082, 236656426, 26892058, 321215921, 546930795, 754874257, 823234587, 452532113, 984582501, 237390589, 962428459, 81377217, 872064106, 684818570, 162629894, 814002067, 918665925, 563767894, 651351373, 1042816424, 499657687, 342901828, 779846079, 93878171, 648668808, 629471874, 1053066664, 288577444, 806176284, 805499540, 928628409, 111612545, 432844946, 430624107, 265723361, 295916974, 366785744, 576456395, 324385089, 428441455, 157513601, 452505523, 415879403, 755966391, 653487269, 1048937581, 43628661, 369506347, 35886100, 783772840, 993811879, 783152076, 560092855, 393366631, 3622668, 458020720, 608833685, 650201156, 544426559, 802490802, 158881040, 629094254, 288491177, 715622848, 327103832, 914577171, 128291416, 956937040, 899894271, 159957357, 489641508, 811949996, 838994576, 305985881, 497182342, 655298550, 104071070, 458423209, 786101255, 591134936, 397931269, 943007188, 826620010, 504904585, 996947133, 586416242, 990654847, 1037733524, 98422562, 69454825, 660468560, 740885429, 187110733, 423086961, 108823537, 756309608, 1017554694, 25932402, 432847370, 760108630, 1070793495, 114213765, 774661876, 100749844, 856231084, 307391714, 3414376, 411901623, 177781423, 938881221, 795834919, 480051394, 429602819, 286057473, 706972498, 410092560, 985813831, 859900348, 343470259, 587178888, 163330147, 514397783, 433557572, 767775011, 640372312, 91668645, 310790348, 152370636, 42447308, 656375345, 375977494, 60264579, 493849509, 1040779255, 543350123, 263706250, 386765700, 815568774, 114621225, 253661041, 710112502, 961577921, 62189988, 584183226, 1069517718, 226423131, 894234980, 126526393, 839273988, 810068154, 920163274, 522291226, 889475156, 1015627799, 857236779, 585953586, 966657806, 1003767090, 236470910, 1058423715, 191580791, 622851801, 173642606, 897980337, 407233847, 1041767491, 362455521, 645936933, 996941086, 74326209, 768830871, 462640997, 570548685, 418361367, 134993507, 20917453, 966846739, 471382413, 756092379, 368932754, 595876375, 198871783, 59889760, 742322576, 414246272, 413467566, 733754235, 951795111, 440626660, 803771471, 603579139, 299721, 53166088, 490825763, 942031420, 900496926, 799849747, 17424716, 438390433, 344678870, 1058951295, 741364211, 249081614, 412560640, 422258579, 658939702, 627188203, 454978863, 154943724, 589314007, 560306513, 961030057, 1012062812, 663486659, 889686541, 802615777, 1057478988, 694890647, 835131254, 129291663, 692779207, 369386017, 220748501, 1021396029, 939396763, 659915004, 55233413, 912629355, 373151129, 117667963, 439532043, 822921405, 995498752, 929033393, 21485170, 248081385, 740882085, 495796803, 896060094, 193981125, 244296807, 562192173, 90631439, 735839063, 1065538526, 857689078, 623365718, 652763648, 970335546, 1036058753, 40739553, 447336387, 467572386, 824156325, 1033995279, 144201230, 415550465, 859559438, 442284432, 656360141, 368892360, 145800555, 681517018, 535565705, 941138880, 553027926, 826302569, 162418897, 558920999, 809629118, 857770177, 503822762, 354291030, 133839892, 294173768, 544527764, 915782791, 17822275, 620722706, 714072117, 492560325, 743088854, 764564805, 403634270, 628220277, 589922662, 972896915, 655360369, 143980961, 207474037, 287636036, 730051822, 640387594, 73230694, 369575231, 351073798, 426812670, 437913512, 525505213, 283830645, 185798407, 599537597, 85327531, 903407717, 1048798157, 571674927, 425899094, 702144961, 515059970, 406209730, 900571316, 137853516, 529907423, 724038046, 890749088, 527004002, 205289656, 440421311, 722747974, 35474555, 839402741, 848571939, 116153845, 98271063, 513926587, 876219099, 801021757, 982168602, 859953947, 816597496, 622487157, 345232194, 543545178, 643453060, 737902209, 948408660, 626407860, 888755049, 626961264, 281308332, 791372157, 663019774, 634564191, 468875625, 148600614, 504410775, 692421150, 312694065, 711320238, 626809799, 319197677, 274243278, 728138638, 18215044, 970399645, 21097233, 221183936, 118322766, 236383642, 571477035, 246270906, 14595246, 839488973, 176166359, 316540440, 1012099817, 192877025, 855162971, 668403863, 117278602, 697814582, 293577871, 491365819, 1029881849, 562511653, 321675338, 736257233, 521335319, 1056700391, 299182244, 1032735024, 536841993, 379362949, 935102153, 590245867, 468760027, 214889600, 576041991, 495418046, 50134660, 267327441, 52575246, 954126911, 556054796, 714883521, 13404850, 602998894, 748984542, 607211692, 397598498, 631440078, 106433256, 592293877, 765783218, 42899418, 290844711, 445545472, 857779921, 596642836, 463638697, 141336751, 624192609, 951109939, 235416504, 830736877, 657400399, 578150682, 552043887, 1039751477, 1071452059, 59635658, 56814627, 294301780, 925102891, 736072149, 267425432, 364098993, 399961936, 276724760, 924097201, 532179399, 273052854, 716889006, 623064817, 990279722, 1056348915, 880847506, 519093954, 604879606, 368939546, 688026998, 634280879, 368487014, 666596361, 709167445, 728304135, 753068803, 833657369, 50928159, 507262961, 178072318, 875782730, 1040428539, 498348549, 677718843, 112050438, 829692046, 37685183, 603597669, 1056966602, 922843575, 286441048, 43004228, 464835936, 737435940, 566177706, 897794248, 87124582, 274347457, 647306297, 114063557, 266555746, 685228873, 578497183, 752802311, 794717770, 990870096, 1043760416, 420039235, 931546618, 124186194, 502965525, 204853173, 217405263, 603978686, 916660689, 821233626, 874843852, 287062128, 578682495, 99024622, 177847663, 511246332, 879367504, 323664026, 989417316, 927144505, 1002585696, 1001274852, 122537841, 952736615, 87959717, 154920163, 786298589, 743606032, 288092488, 92092099, 1073733163, 737622604, 90887818, 511025378, 63542592, 1012696953, 626350134, 131913418, 742578949, 212451531, 137263880, 544103806, 1061643803, 604551532, 466367685, 44729529, 366351378, 338943069, 186653872, 790178997, 986034275, 129392908, 407952007, 95505811, 381203494, 777314485, 59547470, 999472085, 1025680281, 408765335, 726953684, 15756618, 115563470, 958221268, 765127837, 809916814, 317460863, 676805519, 222155276, 173547364, 309554867, 670035975, 604574618, 1067128589, 582885579, 278300771, 365333198, 1015146432, 902200351, 291674092, 801644552, 824386181, 779529438, 277147212, 933718848, 1018754034, 980055340, 661061412, 861171451, 364778976, 774987766, 1001613291, 374568215, 661957550, 806879022, 1006674195, 946441181, 652654054, 936095504, 134744184, 873425709, 468217511, 376913957, 1052091261, 532458, 803369124, 274726911, 111304188, 477793268, 347669554, 630011715, 898141542, 759588203, 679293936, 780228234, 737427852, 937202016, 109549020, 89815834, 466198314, 894493139, 43173965, 998252587, 288025532, 700235315, 407268654, 245758332, 486196440, 415535331, 318449456, 1030235531, 619838459, 565357426, 902913967, 757966043, 771302341, 811473735, 100916815, 481404590, 486882256, 560680219, 63216000, 219040146, 585778402, 1014226727, 654718538, 808602782, 998842396, 870564421, 875877205, 761094578, 1038248925, 962219129, 979313793, 969378468, 874161655, 738868098, 600940118, 715026646, 131072066, 330690951, 479330208, 217548618, 862602764, 792253967, 386945581, 896337221, 350597367, 608170996, 485653591, 596005507, 488393337, 790318795, 772233976, 1049016911, 354426320, 599263431, 197417702, 801503958, 1028768751, 642286305, 588932396, 55069843, 389122984, 1010543485, 396360495, 42020876, 179855381, 859302489, 610944995, 572905048, 800781681, 327182402, 331764232, 87281784, 631129991, 336762595, 521968666, 709673637, 404638427, 688579614, 418504062, 890907343, 862022360, 939275462, 983888139, 1032864833, 546203158, 119493508, 882288666, 547855647, 372931360, 615278865, 822090039, 536418697, 398085568, 591579067, 663894941, 576032132, 842510140, 28260008, 131824658, 111556006, 858308093, 661103696, 815834789, 729822247, 158788125, 249621748, 980746928, 318237494, 337822192, 543093402, 797926451, 570877195, 371004991, 496264076, 508121155, 887816605, 791419197, 268122708, 193185299, 710075082, 874148489, 894143620, 619668665, 252100381, 292385670, 924618583, 370421113, 882807026, 374449243, 450606594, 552176699, 100318507, 1049396578, 863144693, 132019877, 1004506989, 587236086, 659084641, 775749930, 343820626, 108733065, 708579758, 228006594, 175411031, 976210455, 573356823, 817971920, 277176714, 59322629, 742342244, 250656013, 16007456, 509972112, 490540437, 541230742, 976492819, 228796083, 803997570, 454808154, 174826291, 602532917, 66438282, 240060978, 1009998139, 742987077, 685115125, 161458974, 515375655, 297219250, 816945167, 538367087, 43682313, 552273983, 667653980, 487780931, 771292503, 337311743, 193175937, 929548772, 717775677, 873206493, 486617766, 591403055, 99532922, 695898371, 206595382, 97257756, 838297658, 983759969, 257972701, 270923192, 1067435199, 785366716, 933350948, 445563163, 896101077, 1005526436, 211899043, 435509074, 59793995, 883316681, 923744247, 846116635, 815386032, 1051001530, 574205349, 124434926, 816964589, 5443806, 252601602, 759484725, 1043029967, 172430048, 851499430, 134325704, 724668588, 866118358, 956566066, 186429924, 307701707, 328603284, 221033758, 413352153, 691604114, 509168763, 308802786, 847320908, 118708522, 301431857, 264140200, 774866083, 936991782, 1050224365, 1044957240, 621746822, 382972294, 820438528, 1013970655, 577443286, 252548589, 407257520, 235450205, 338573387, 254747154, 64321088, 463523929, 989660010, 79632364, 309344634, 161912993, 993804133, 990443854, 1042676352, 654272824, 73781274, 407758379, 301217560, 597808249, 557172698, 125252306, 149652694, 527717675, 706943847, 852216899, 679703014, 928390584, 80714648, 674628049, 881616771, 1035682369, 226437478, 428209282, 906864081, 403209104, 475102871, 744597397, 985934538, 30180496, 539838942, 443424034, 189973657, 105990877, 20840472, 73930072, 582544105, 145762607, 781401989, 594389757, 735840398, 1004679129, 767901335, 337421257, 640269218, 859365844, 849844502, 1008381255, 380962804, 230614028, 434852709, 822943874, 136586680, 354569855, 17871957, 565822654, 339984053, 100949194, 740353087, 363368976, 558481494, 598802507, 547940336, 522539163, 731338174, 245473686, 154506025, 855530789, 341538889, 406316935, 468514811, 247241615, 577471055, 37171369, 850549665, 626091550, 568736329, 336764524, 562399716, 719804779, 88131240, 276073184, 801695980, 169595629, 683813531, 1004912621, 36539762, 653695608, 463399400, 600498985, 515487605, 16364306, 317470542, 293597418, 266174962, 837349548, 539613015, 709319995, 806134634, 37125768, 449260024, 366509258, 805107047, 134918830, 118411267, 322267715, 456745307, 391184218, 819149241, 595284734, 631369167, 963286843, 12536865, 204173870, 6924246, 966865647, 296855567, 164091871, 988009907, 87516518, 620531322, 654069225, 192249317, 276227690, 339480310, 765952644, 303818368, 977413473, 616476017, 843320008, 758558995, 246421975, 616608025, 181758808, 329314435, 977908368, 265260762, 1010852119, 232953340, 174229677, 702750155, 760098557, 760292034, 620362161, 379770647, 807559440, 595926444, 601684188, 842271644, 855325232, 622701071, 108496503, 931549590, 945941429, 1064106042, 35302609, 18054589, 176992716, 214566779, 557767694, 219171632, 945724371, 257655949, 271747408, 852256976, 568301843, 1068114861, 845841337, 1032959351, 714347701, 275525294, 293685170, 279221435, 606566300, 755196767, 457042024, 827813887, 141408589, 402808847, 185474884, 182946260, 27849929, 82757319, 39548118, 816286551, 635609745, 1016330985, 705526415, 403237303, 317830321, 206861896, 581474308, 824749620, 463234674, 986903970, 711208851, 775383577, 103811960, 970758398, 653258272, 881615486, 814061201, 370387249, 927350780, 500785062, 106392618, 182748157, 565906625, 349298545, 995103086, 256026685, 904506839, 91938792, 183206876, 761512671, 939977750, 717005214, 303290321, 55178411, 908282487, 713280252, 1063669499, 541626502, 1022771925, 200025905, 879788867, 1021004184, 668953973, 218889670, 391702497, 26754507, 630208287, 960194677, 302385758, 484201484, 501364174, 468871043, 388081581, 478192602, 975339396, 744997863, 636327066, 744370393, 89327848, 736485736, 428651686, 179435534, 119352715, 743090823, 892990206, 989438806, 6698128, 193727444, 300074538, 671115456, 76200381, 710248515, 878858474, 980391969, 672546949, 296076992, 1057430182, 914562350, 248964177, 953113027, 737484880, 880673998, 322812572, 673992721, 333163889, 255565938, 48600434, 142462908, 939605592, 929604149, 553301711, 882674220, 495721449, 186358530, 475593251, 583199916, 592887985, 800486222, 569523715, 809185264, 104571023, 293208299, 859122789, 214703587, 602344005, 498229521, 27386848, 45525460, 284951901, 526084157, 335170200, 830928901, 244908649, 778711056, 274121517, 747237282, 931627770, 747001216, 53838528, 244327440, 994060651, 944324974, 842904904, 439510452, 794925658, 493394256, 907700829, 327003050, 883403894, 896230560, 644031449, 914156797, 969615153, 940650775, 224759244, 972256159, 453075333, 775984682, 1034030908, 153701309, 671686253, 894980899, 89494229, 323998290, 881503818, 75655234, 671289990, 20497169, 920582847, 631502630, 981127739, 353016829, 900701393, 556689000, 261687659, 443038505, 332325602, 74558384, 94719479, 631694243, 390429745, 353624966, 583897792, 196966139, 1041725623, 327212324, 221202298, 670695693, 375176390, 1059323288, 724136647, 121610165, 473709722, 994941313, 401989005, 250524557, 246323114, 971382565, 426150564, 830551526, 305308440, 388177853, 500138396, 363426535, 636542917, 398838912, 247429053, 329909514, 938954944, 654412452, 820425411, 732930326, 838040966, 614353113, 278613984, 80946213, 311581705, 947392995, 841209218, 311080012, 470179357, 173398036, 999302516, 443802434, 886000875, 181759791, 308477128, 1058514557, 612931214, 281990501, 270304189, 307663266, 527008943, 225700381, 162323679, 84092654, 648104191, 1064049876, 256544127, 601631089, 952560054, 629924302, 983879780, 899468656, 963983972, 849014090, 942420873, 1038716861, 540864857, 463039304, 589116648, 459301278, 878199402, 420938080, 559520424, 902988858, 737503858, 118111133, 436601607, 872208912, 1059558281, 678140189, 115892807, 275187840, 468452646, 846163164, 878573605, 968675274, 793835760, 505691060, 789771423, 707134670, 90864964, 497790316, 863326326, 86663711, 61774027, 872575644, 295160548, 354732064, 693451231, 493908542, 537551824, 458665975, 373104308, 24177781, 27873797, 179504373, 570881652, 900675677, 939465036, 697370180, 226205934, 425357991, 698041329, 931284237, 821662555, 897940455, 1043899117, 50139619, 208685921, 815761689, 693071552, 617440014, 321607137, 1032177467, 874643750, 56019495, 672751011, 467052138, 340314609, 417703491, 621406555, 884189762, 139258231, 804307186, 940255660, 675166968, 394077550, 360461546, 971859100, 953879334, 336430281, 254011614, 197567912, 60736257, 695232891, 320717805, 465512760, 1033956628, 93547636, 786612263, 294097651, 349334300, 17539902, 281612119, 798556042, 639249162, 524814264, 934170715, 790592818, 588932710, 46821546, 789126938, 765825802, 1005333206, 616447405, 268065527, 965555747, 1043069177, 440862041, 159649448, 524585562, 883539847, 451200254, 459498450, 555960687, 91617772, 649909342, 739816066, 717758203, 687152511, 241081208, 400487656, 777846405, 107219653, 542106101, 408651680, 432216278, 532494730, 772095522, 422808898, 529667099, 362702013, 864194752, 1063176552, 678199180, 448446753, 232704807, 248171043, 419080435, 261672440, 205632294, 943502568, 797539552, 175274024, 334691831, 148073566, 14858797, 655162758, 3147018, 1020927977, 420820320, 107830782, 71278505, 1024675308, 714723322, 6370915, 491275766, 974077764, 139265741, 520727497, 145695116, 251140181, 322846799, 1042467379, 650562029, 113681737, 84358922, 437092936, 868674823, 824114653, 870719926, 81951666, 668287499, 959614819, 119467260, 699977103, 161085713, 676828839, 844023206, 297190065, 1060260800, 742376463, 472658287, 732531645, 379915484, 242108471, 58341565, 674075842, 846742388, 913982412, 867611284, 923247269, 313869451, 484288987, 162568299, 159779011, 863261288, 270576672, 41230975, 759648942, 909712172, 650501304, 789345667, 582325946, 473087359, 355556358, 772147036, 53540695, 548824488, 1042097777, 476405836, 173242896, 485747006, 478933276, 160710195, 665803008, 405303630, 893518887, 528212446, 655609284, 339898577, 627621587, 899645322, 571310586, 893031060, 795617359, 754380835, 165601403, 76727617, 72955640, 60307482, 27193692, 134158304, 427913828, 57857297, 1016694232, 543231765, 383048655, 415243982, 100641316, 700436142, 174259714, 570107461, 979503530, 310829996, 817124238, 247322978, 91031212, 590416638, 99652475, 860478330, 274005853, 478668920, 453849540, 494418586, 284909866, 180975601, 975892603, 910213242, 675395439, 532101125, 724807329, 371384919, 781992451, 572907661, 15367454, 377616276, 819499691, 356388267, 155910791, 252351878, 556853309, 518022628, 851318103, 538535825, 718560792, 391038424, 651533915, 124503628, 661746158, 18121988, 1068293475, 933850623, 1021963457, 627822438, 241364803, 656238316, 1047541108, 990732145, 71340931, 63977648, 293784333, 966610987, 710207599, 209274572, 767852826, 1011830112, 299732751, 84291983, 1025614914, 101890028, 311254786, 847831932, 643554529, 507686922, 150266029, 818049592, 113822435, 341334234, 680547921, 167114984, 988523815, 103487347, 83317594, 439240966, 336162066, 15539636, 32367951, 891051105, 439067475, 408648433, 644986405, 189244679, 768317603, 496605540, 560423000, 260318182, 526138356, 494066287, 1036575259, 164300493, 111279814, 836461954, 263075120, 754473700, 841052934, 305018675, 65118574, 154832805, 662546951, 157558249, 242296969, 131013693, 908466000, 307709690, 735062035, 931737833, 303670485, 97164632, 482343970, 765735823, 967925976, 693068707, 883104591, 240721777, 401848788, 519034577, 226914824, 532137621, 530188806, 184655195, 81383240, 656564552, 325137049, 850777058, 665030722, 466789100, 119419513, 998969638, 179777737, 259881478, 968036532, 886331870, 28721488, 899789281, 136735448, 254129103, 186616464, 783294630, 519183150, 915158856, 443055530, 500633736, 311750406, 520821613, 271995582, 330390797, 602927931, 999096966, 193471755, 971423043, 14779724, 633385925, 895432252, 484356648, 979023369, 529004774, 665840725, 527128419, 106776257, 882370792, 375809497, 428564931, 285960002, 6423850, 1058133959, 200622231, 247248222, 397313664, 298560392, 148791664, 797860535, 202785242, 1052853959, 293558968, 989618719, 680287691, 1026622676, 189251976, 440351778, 130977384, 93670760, 904409870, 588139953, 772496015, 285076809, 913022399, 39097830, 502271945, 20668631, 1031496731, 633992552, 562986104, 732826787, 144637342, 1029337543, 652821782, 650181391, 449356520, 707748874, 488280943, 701778982, 872069923, 131128726, 927945150, 508613907, 647228281, 701479286, 583904148, 229397814, 563807150, 221688891, 119590869, 934909270, 691215896, 819061597, 165290238, 725714439, 36294618, 776321089, 548471601, 595165900, 946747988, 231625424, 411440534, 941942906, 242881353, 282795027, 61583225, 1031951082, 836377557, 25488466, 662876228, 796863602, 1067310071, 833974494, 611056922, 174161143, 375030966, 178444651, 1038551656, 135989542, 855337130, 1058843777, 124464073, 642307941, 565532420, 187704506, 588645475, 551591821, 430632122, 663528681, 489624105, 393108791, 824084759, 799914360, 63810233, 806045688, 818191243, 370332758, 544761009, 187270591, 549298907, 583147525, 439953167, 1047311445, 654555517, 571199898, 531057943, 645669227, 947431554, 281795559, 205349840, 494185459, 308897223, 715340123, 470205038, 612689306, 523813882, 159666745, 161251516, 802139817, 680456777, 847027277, 484136480, 63790240, 187942722, 853657128, 534878497, 972251873, 51819789, 800453816, 930681647, 24779709, 807456586, 152940711, 337850986, 978906205, 47618730, 883676652, 2184352, 482790138, 703717577, 534870753, 208102434, 507500955, 374014473, 691437788, 176867772, 377754261, 549115782, 958958814, 211534552, 673211531, 479603229, 222187379, 221903071, 725655130, 53172702, 918937071, 721164323, 42914497, 356219825, 1048578299, 566186425, 1042855809, 289170669, 692882757, 588463007, 344633435, 671547748, 947218455, 958879058, 444219338, 745951634, 482844104, 113834301, 404192471, 65721246, 394340990, 589725571, 877722198, 754991139, 46299418, 973133879, 37643906, 27682450, 339965613, 393088447, 743254070, 787923049, 178209586, 114051765, 531702043, 857894289, 151172738, 30684193, 575455172, 1073358619, 928747025, 88793800, 213177518, 583077610, 555261175, 7587942, 482781385, 263518899, 285458858, 637239523, 583280014, 980234592, 731867664, 330685523, 360598579, 241813337, 970080127, 212725529, 853751957, 826639685, 1052011941, 68430317, 922396036, 279949830, 566571058, 268284686, 440117354, 828280213, 797618154, 381301782, 380399035, 571310391, 848092119, 189694400, 209731688, 1026777807, 784720979, 571198784, 1060983574, 866080121, 724240338, 202783145, 714249441, 158198574, 733448582, 767069983, 876189339, 465826504, 892817639, 669274337, 516686203, 578972609, 936630831, 355930789, 959450264, 534497825, 249957349, 702506411, 901947606, 766100550, 587260165, 158809950, 651034489, 477441956, 566266360, 975932273, 478029209, 380056112, 347844669, 931235352, 925287278, 429481621, 616904555, 832639722, 401540809, 564341904, 415413751, 120449074, 689593676, 28627989, 499841569, 506607140, 279422670, 540524616, 283792739, 461474421, 337341388, 431308415, 133357034, 787915960, 914359336, 733141382, 377414311, 670849690, 42762563, 907746807, 566495310, 79530557, 1046338779, 810132989, 140439907, 1063000669, 259889509, 726098882, 184575186, 157114939, 507562717, 837774313, 252811748, 834022431, 597018111, 329517017, 1034333462, 929936293, 1051536736, 240492925, 833231140, 322212851, 238169698, 384460925, 544670978, 530149641, 471775065, 318161211, 409078950, 941534608, 738814636, 347328020, 276561447, 191239261, 803551050, 39954927, 571092401, 760091230, 655009570, 883560267, 99086767, 926362088, 910805941, 117753913, 1023354505, 223257907, 422757702, 610119712, 720773556, 1034901561, 706709019, 142320994, 320865788, 657942768, 585744338, 123263568, 105859775, 866006782, 886391481, 577993329, 37989007, 270387062, 748163166, 104624173, 33596456, 580909525, 741428097, 327692572, 878395115, 951193580, 649595600, 669365649, 860578400, 511828666, 1030218529, 15115162, 319197383, 897186832, 317697609, 977148724, 662136311, 250750739, 53066547, 838916668, 486356564, 816391435, 461904776, 707305186, 1010299328, 102825517, 555353344, 1021652231, 186256316, 32366592, 23567060, 53894378, 601492573, 91212853, 894056100, 436863705, 452580089, 468893326, 1059150501, 75888480, 73348582, 471261808, 241890352, 857856904, 77743056, 1026592806, 570576392, 247301710, 719940218, 356559469, 686753790, 394985058, 715852587, 1022178321, 1026416860, 530186173, 165926497, 1056558170, 381469219, 520502755, 537461490, 234820092, 958196286, 934332008, 695734639, 743839988, 189168427, 270834974, 578434340, 214304880, 151350645, 692203051, 405147717, 939695853, 734075646, 367361500, 554913145, 161242799, 936484403, 126576006, 146684216, 579578427, 1028281582, 955007983, 417953122, 138203071, 431905675, 257145724, 688324568, 686246566, 751982803, 922000583, 30797584, 40288086, 851251069, 515917270, 99575209, 593791723, 531648228, 107174167, 208561066, 525832716, 602330196, 712734875, 336637068, 356295992, 532086133, 17216022, 279114810, 969608613, 608800069, 799168653, 310324473, 846641115, 392602764, 562813212, 446335062, 745840110, 98397269, 462986950, 969557212, 151628131, 491880576, 751790797, 1031091788, 98208984, 993012984, 1032856551, 1004995020, 589028055, 562150665, 493031694, 651344074, 512130763, 224046906, 517756752, 994047861, 1027836921, 245417109, 216473159, 830629221, 1026963616, 715059245, 637637040, 602186047, 905759869, 961504545, 1057950461, 440638010, 549676149, 456817719, 149988514, 744894378, 609590741, 722341893, 919425212, 378956351, 643039328, 309083076, 18500333, 218415049, 41099074, 118906792, 1033474186, 699897621, 940261792, 271859318, 147807638, 604069303, 476306048, 585443639, 781325595, 56610608, 731179813, 129839525, 314187144, 222361328, 317803110, 674700944, 299517400, 639283604, 282785887, 442524181, 622021299, 628942490, 501700429, 881181220, 289566953, 746102483, 86301731, 29881667, 640474513, 728665263, 386845511, 37332776, 400461616, 771622962, 703023428, 784608466, 685999688, 324474373, 965862722, 916976826, 43104346, 60765985, 1066280343, 948847245, 1017184884, 151615401, 524193378, 253854698, 622060940, 533767559, 544216165, 770585877, 669891056, 360728676, 203075645, 12264254, 912646404, 87244775, 58303799, 496867268, 608715665, 282683280, 503980365, 199454540, 482272057, 493916516, 881778013, 1042427100, 447780770, 131698173, 429860299, 974255182, 513243142, 484329746, 531493538, 876708725, 735192479, 712197957, 460461279, 398671830, 637670126, 247950628, 639798564, 794919489, 777962671, 821245355, 671663467, 186284799, 363316326, 719044616, 127520516, 915694523, 547501253, 386770397, 120809349, 930407631, 294169089, 392169711, 964132723, 884921125, 597720553, 887203049, 418533911, 291458272, 975998399, 764809223, 352193826, 1023806782, 758827562, 255408739, 604578761, 54868137, 464674950, 160431883, 639810065, 1014646407, 654743818, 738625995, 373784618, 774925640, 78102301, 943247920, 461408261, 931556975, 605228600, 907641197, 705869216, 387219248, 1010235844, 985762984, 183736193, 5342699, 911853514, 731426679, 150903593, 947137016, 613032288, 487884263, 823163694, 552085987, 618052497, 167468524, 91586144, 738381551, 594649565, 135893121, 562210713, 706237783, 275851950, 40621394, 142207910, 777972708, 751638250, 960871381, 682279057, 142170356, 454049073, 358871599, 329217637, 518797889, 457195944, 397058706, 1054160321, 332376521, 539751185, 597846049, 177095135, 128954043, 355051368, 209634757, 604677137, 222778871, 1008222257, 392554619, 469018739, 33910528, 1008114871, 159362407, 440972754, 907458343, 382821479, 166974544, 546822102, 393873574, 568830131, 495106088, 579845420, 352996213, 521209491, 438032727, 335959035, 105229846, 818386933, 122656405, 774581678, 822185683, 454082966, 301487311, 884870611, 612166213, 869935149, 655464977, 942399443, 717869320, 578380855, 1065153325, 69041588, 571985698, 674895931, 613669081, 65458567, 66364667, 827995082, 1001716294, 632624305, 69175423, 812692603, 446620303, 829250909, 525726752, 576775353, 377825122, 870750235, 564533390, 287358174, 431758584, 194922743, 437350806, 559126809, 23556752, 706783619, 440851627, 29563109, 736313107, 320953892, 807101965, 994366256, 666781421, 908345539, 781438738, 22831718, 822886337, 1052338439, 688604456, 563944697, 732823766, 761914442, 1000081486, 7828715, 145006481, 177942801, 839591362, 295431207, 540882697, 110483211, 167455708, 316050008, 146273254, 537703497, 546630963, 869779691, 412833231, 605924984, 408694532, 436043003, 827777441, 149517274, 668262710, 149992442, 968503161, 273869826, 681049397, 755511096, 76693803, 960951682, 778773967, 612094327, 196180825, 195256267, 393270539, 128399409, 498574599, 681521706, 638173921, 762227139, 201662136, 807817524, 619685896, 226871031, 201200776, 859445815, 992323645, 560709090, 1029685922, 510166348, 661520095, 558811859, 286306310, 843210299, 502671561, 616605764, 206367354, 249242475, 561886119, 4736344, 682349855, 260209225, 47579400, 500350127, 90710360, 19563930, 233227054, 943845096, 805841362, 557824620, 1004282749, 363132122, 592617603, 1034623221, 64086921, 552014315, 310636449, 584999703, 338243538, 637781233, 412156959, 203187112, 44761673, 340311300, 301371518, 878473589, 526784696, 514414166, 530538897, 910363998, 604624553, 804097823, 995106708, 672048739, 877992601, 565866422, 1018214714, 491964381, 133661582, 346425561, 547450088, 453176017, 22580494, 974148104, 1034518560, 781750089, 962164942, 405106933, 715343714, 369610368, 797540948, 710729539, 612686545, 374693537, 490407439, 723043789, 156876790, 374264568, 15423563, 319214806, 972452943, 969047206, 260061423, 22646503, 854007522, 675766118, 493884447, 106783543, 675539923, 921411408, 1058697433, 526783408, 133807035, 81544065, 589208304, 996558781, 1004021226, 320851533, 315572126, 901525603, 664336544, 958974599, 21361039, 13264154, 411036886, 119396798, 171715897, 1045019975, 772320606, 966889968, 1051811869, 611400178, 18426555, 805999047, 707938609, 77593706, 419770257, 855472242, 527748893, 576962510, 576445937, 74024020, 149187587, 319844387, 1008792965, 621459052, 657910024, 531617402, 516816022, 75397117, 294245877, 1052896859, 150182192, 365783757, 765291942, 981194115, 961737670, 154904159, 1012871217, 1015700470, 234487079, 799730908, 270426855, 38873098, 930126440, 547709955, 871914690, 515346617, 187960342, 707320729, 559428439, 657211682, 495595730, 110685757, 190201627, 504364698, 71861235, 285543474, 269442940, 397965051, 808278134, 893747964, 950901794, 158715496, 107201155, 793557844, 227149579, 776618053, 812110792, 93300445, 827353112, 876841212, 500873400, 819096663, 141409539, 1007280753, 900194001, 41455027, 665673845, 449956817, 913661941, 510645278, 590862526, 804605442, 987906703, 682971190, 786580251, 912066904, 741614969, 1013795355, 935295341, 375475940, 918785226, 490553803, 299120840, 518876732, 945583080, 842373304, 978229198, 667213076, 352253746, 316880914, 241185953, 44441622, 9246420, 929576903, 206462911, 627516051, 578079512, 795739860, 798182738, 543151577, 656632429, 14846042, 388667026, 657387309, 804068126, 952022186, 1070608954, 843183745, 133391328, 122857414, 819019671, 710262142, 336157802, 433078044, 387431172, 363130666, 719825179, 773401169, 423828553, 971668138, 1069967333, 500338077, 891972733, 981725827, 647913066, 181747002, 344871185, 1048905707, 881885714, 49612565, 87243065, 622991262, 989553198, 47290623, 95750763, 952851368, 988206469, 914097642, 254109815, 590850191, 345598543, 181442405, 334664564, 223086866, 910894439, 959398263, 1019937269, 613868187, 466539960, 985683013, 988401316, 359729381, 418160279, 185907971, 682038385, 80429806, 43492975, 867104179, 283219694, 1005017394, 210874129, 645342547, 540894964, 350825742, 179042666, 442775518, 986595006, 90862143, 225650112, 102335069, 746001379, 110918737, 897568289, 415085551, 981313272, 169799574, 579396899, 1055580816, 254447266, 1060079868, 1000782328, 773966830, 123410830, 277040080, 43126155, 673834997, 714916787, 229643568, 6495179, 371443172, 360849717, 238087879, 313145244, 387202470, 1025103620, 305575296, 7441604, 520830842, 879529398, 938200561, 684690541, 356993482, 102315316, 362512705, 131287175, 419603966, 378379073, 963391317, 275103435, 44906996, 908025337, 203293376, 396509038, 361273981, 778467394, 501238347, 894360593, 520042923, 119508594, 380347222, 317401968, 553404370, 448553296, 54454176, 794663827, 377299798, 935495541, 199850268, 510602174, 1035833954, 612788011, 830782535, 873477932, 835306556, 8540451, 570689228, 61345275, 1031768804, 1003765652, 68478431, 44294553, 386697508, 248413568, 376426212, 790449135, 839317599, 367696925, 1036598756, 321075489, 418186231, 440743935, 1057409986, 428990598, 644501471, 560664728, 645791544, 839527451, 750566198, 910314579, 982622239, 143032341, 541394843, 759503604, 536513784, 316873554, 54915691, 622959072, 737360880, 150845549, 793803248, 413549000, 176330744, 169253385, 884649721, 80636435, 81564990, 1010658685, 81722933, 733357912, 236263815, 297300920, 217500409, 961101230, 253723040, 517710442, 699793256, 669344655, 601915770, 638531764, 776434756, 736100901, 608547985, 721579675, 732392108, 1000079248, 56055136, 237524026, 202301848, 51495545, 66607746, 180202315, 366471500, 164098416, 21491027, 308302054, 256217011, 540621802, 932102732, 714237821, 79482380, 378355736, 925911209, 312336507, 1013351873, 442316961, 503110676, 726874343, 761153622, 966669056, 285671060, 386052834, 202851039, 421160244, 928705630, 431148360, 784496542, 76408589, 345154602, 563251369, 387992065, 848016635, 390001648, 857751220, 299488192, 906899667, 229438484, 612623801, 370173246, 981993432, 143844979, 760372572, 1072991265, 421214705, 657877202, 95513459, 171180236, 507266062, 251175305, 950817726, 1000208250, 878301486, 854614728, 696745674, 446215111, 465961897, 36994293, 498235859, 1054561440, 92357560, 866658462, 450405518, 28725481, 992755023, 603430260, 586959753, 929822094, 503509217, 246375307, 109722000, 590953277, 137360069, 434009803, 764900303, 628385806, 393705151, 272300970, 954079782, 363332997, 736719316, 740849967, 1024216240, 299316751, 917787123, 882302682, 57403113, 695105813, 424451781, 716381338, 738582907, 65354016, 940227976, 241031255, 26348637, 982947615, 845296156, 172978767, 30254364, 837975474, 440932466, 356713762, 614433849, 332481297, 984091105, 120811413, 263687006, 538493114, 728900984, 848521938, 178538080, 972975000, 425105865, 439596754, 434752845, 732571872, 456380739, 535224540, 545736716, 682169823, 191627086, 413513919, 162594666, 637915910, 408237994, 696114193, 879047584, 730085240, 23503444, 2678992, 12626424, 703304767, 229267708, 564466078, 220894306, 789212725, 675129582, 101671795, 598067409, 836383062, 217189907, 837544020, 18776212, 53800541, 486631519, 796350921, 1025213972, 209097234, 587420235, 759592326, 766903780, 491262916, 300723194, 647117001, 1063954658, 632727214, 882741281, 734281478, 334530841, 888822388, 156171746, 851134614, 664688493, 205297385, 480492667, 885317587, 674332138, 649846786, 604988897, 509878789, 985165421, 341501495, 494025848, 869697031, 655352147, 767429083, 566689492, 174946501, 59143770, 1033831056, 473821737, 248682906, 385105421, 35066402, 395465961, 320965577, 142091718, 504114430, 618698262, 419172927, 950442157, 392366137, 234638925, 1033284912, 373161789, 418236973, 561794848, 579499229, 552716596, 930493250, 118388684, 366875820, 981976539, 849190152, 695508275, 326920149, 579151891, 1046240285, 497027614, 227157481, 905453591, 963342464, 219348592, 800639293, 783210572, 947345805, 464380145, 660217420, 524969134, 829154960, 454243073, 199336226, 944017176, 29780911, 869590781, 345602042, 716121754, 760470681, 45210114, 560189466, 931324569, 851481465, 723512299, 393939390, 433770817, 507825628, 810882756, 659687148, 33321277, 775928397, 1024781129, 925571888, 698655959, 327057463, 623966568, 454746156, 57338628, 769276818, 143338043, 819877427, 390128087, 213254069, 394140730, 800662797, 809512544, 322384708, 849896793, 330703540, 715762921, 168081441, 976397368, 452325646, 267618980, 1061806613, 284139658, 312446012, 429841369, 686625054, 563127202, 822913207, 957827524, 412503138, 496929065, 943462319, 634521075, 944305343, 1015031209, 175491100, 454043820, 421234170, 744291758, 173985139, 389189669, 41771487, 847002474, 811939413, 355643491, 368105591, 881601176, 645704142, 406156076, 454825745, 577591607, 58460739, 795231268, 934069916, 94581333, 874246792, 593861482, 1065930817, 702740022, 873847018, 562604520, 317093885, 669213522, 85337904, 236858846, 968320095, 903324208, 243999451, 292531457, 24095653, 376827092, 659675640, 314417297, 433895720, 779654832, 953305979, 443325747, 236778440, 1046949904, 515829337, 769715861, 230964955, 561220817, 1042638504, 790651459, 654259615, 553389567, 515919983, 994395537, 289528117, 776245069, 25742972, 315038158, 1058984737, 950654498, 571512840, 729250693, 501765550, 15267244, 70127070, 774061224, 44006255, 945360538, 702017828, 830816738, 634974765, 337863565, 1051702019, 980790341, 579696250, 589000404, 10815723, 3729183, 290656020, 281413431, 136534262, 825899974, 535216131, 337182690, 626807041, 70503281, 815588203, 373737224, 979238905, 802480349, 43847910, 304121822, 637881323, 1009751212, 303116519, 683413442, 421680359, 367693271, 663787719, 402884488, 69911132, 951843162, 89589701, 857568049, 862466905, 299877921, 633513075, 1061840957, 944302894, 586911573, 752308261, 430598979, 225914265, 208925395, 629031623, 110134624, 412122845, 231230984, 821764386, 366741190, 772706331, 428276832, 592079519, 918789403, 436745465, 489315294, 286681504, 361356152, 55468443, 724322994, 396121167, 573216773, 356660035, 522377863, 451152527, 537088529, 52807377, 1009887816, 380036104, 110877495, 811986719, 21669736, 941648391, 32920609, 241840803, 133217296, 534382593, 943116930, 551271413, 215248308, 602854465, 467431280, 799214872, 523855150, 806689223, 177826887, 457991895, 975155583, 427158998, 704396923, 974281992, 73155449, 937091236, 959500833, 199877046, 448300926, 420847698, 83869860, 749137999, 26409579, 587492898, 978315679, 976846072, 936367633, 262095845, 395065023, 996906661, 590292574, 348263730, 263858671, 968412712, 251651897, 107036360, 571916794, 486396608, 330556921, 497980298, 507653488, 403732037, 697031822, 298394300, 635024553, 744320222, 430045502, 928907703, 626995385, 560492553, 392854220, 523309258, 612802875, 1050319400, 737987260, 517090708, 1028802852, 651693849, 728351904, 624298447, 313680085, 728984060, 607285502, 444555235, 820148686, 366685740, 711396168, 632080446, 460736716, 840958674, 205392728, 117211415, 647287402, 788651525, 58071745, 148837332, 241720626, 295103460, 1069755559, 323187914, 533164298, 396340711, 1003132144, 1019623235, 150630654, 145047777, 918967565, 388771082, 998548854, 1051944473, 42172231, 733337522, 576577533, 467764052, 205430718, 419526330, 721445315, 132198815, 274780140, 725604181, 1040073081, 268859820, 535587770, 499402566, 747078107, 761828083, 1028116531, 1014838233, 672453031, 30228700, 521268167, 775365010, 807026780, 179574504, 10969490, 816098454, 248747731, 897034824, 138134190, 417337168, 32398132, 359206537, 672193963, 742581562, 732878899, 1048706728, 60115193, 794551881, 296478106, 958387773, 1014452599, 571488343, 398278117, 862205452, 665466805, 216214949, 987450621, 894602079, 736373882, 240253120, 583782022, 144212432, 986011177, 596443155, 835080688, 647127944, 412513817, 456418061, 93682830, 742162961, 705724888, 366327759, 156855873, 856533826, 255080801, 50034996, 347635785, 48744029, 175601658, 588515719, 458716257, 613586291, 789015217, 860901004, 3580364, 680616428, 860367393, 584557834, 963834440, 773920127, 902574304, 395802958, 1042560729, 679250803, 787077052, 306028481, 777737206, 791836961, 1008693359, 663970320, 464614659, 105976957, 508652079, 327683095, 621908016, 314358228, 701177581, 965171623, 988866706, 34776338, 422402699, 372723699, 378983366, 991572350, 547937821, 693965519, 750571851, 653207524, 987250682, 659962826, 741928770, 318448217, 285521552, 631681404, 509638716, 141899447, 815092725, 644144406, 70769191, 566384041, 664997315, 373659665, 60316991, 832515501, 461870852, 719802710, 506969977, 713604535, 5314365, 322716271, 357801852, 725312207, 678315329, 247241110, 969522006, 118680987, 539311832, 558259015, 792933591, 296347374, 55176120, 74008699, 181948901, 361818286, 624529603, 183688676, 164028204, 131208102, 611138466, 275262840, 95687945, 228918617, 896679408, 609838464, 173576250, 343642575, 79636108, 57859911, 515272622, 871216487, 789567745, 194007366, 967246035, 533313209, 735852444, 152936304, 408347924, 5708529, 8256630, 849075182, 395923808, 340196127, 374044338, 396668729, 968950462, 655782316, 392171692, 634849404, 407583203, 107884679, 353285421, 889014843, 495134710, 894323758, 287770679, 52363560, 512838327, 226523952, 41255563, 970881335, 923251209, 56911038, 1047969459, 977594774, 62544231, 804071475, 539969309, 174386340, 1005737293, 282294146, 212166623, 139447117, 1002834452, 673549838, 911094451, 554713355, 42972296, 201980092, 407406051, 404517705, 944907503, 271561427, 911509480, 28240850, 689793703, 747981015, 321396268, 199796297, 921740145, 566960999, 964710751, 161963189, 79322292, 13316246, 91736790, 515530130, 686798689, 204225243, 781185545, 539419378, 784309287, 695480967, 763844451, 662166054, 45588111, 42470572, 859149403, 339759418, 180607124, 758675573, 631503719, 188598574, 711576206, 824869240, 37539951, 124496161, 421769561, 789714693, 475274729, 548915147, 523472273, 320088644, 444533160, 241693543, 519753391, 989151226, 877655011, 82026067, 217078216, 936961786, 742219661, 325993600, 693041538, 781230254, 1006604717, 207222246, 546738289, 281654724, 92356368, 196498438, 781260972, 650268981, 785190849, 289520570, 743098373, 115139807, 519798790, 676156082, 293870808, 772103036, 733364489, 167173700, 274439015, 1071152992, 311279481, 217551202, 661524405, 343214219, 372510521, 246134174, 421550144, 534854427, 965670791, 849262001, 630836091, 45554104, 939354795, 249827773, 323256132, 863233610, 190871276, 913500257, 535660493, 308367830, 669882507, 84189274, 791290072, 863251075, 639595912, 29911350, 798535822, 885611403, 520640636, 632724238, 953503810, 1008227682, 276840268, 1004564773, 960273817, 156913438, 800680016, 387416272, 835614472, 304253522, 859191676, 704406512, 364213640, 382225390, 988834574, 158188107, 705226008, 321247943, 585052163, 11440566, 30828277, 735024150, 573074791, 121511296, 676976921, 356872131, 314895642, 1054698312, 867441884, 1047167930, 221587498, 915360754, 419270549, 829722861, 653769360, 353343452, 1001561735, 750641296, 370343581, 973148291, 1013767082, 364637638, 274475236, 664335919, 45771914, 721154102, 332549576, 481447156, 680801296, 339607879, 43449291, 161180224, 641135029, 1069739904, 701860034, 895304561, 556336114, 931510657, 528113871, 75560247, 102547086, 907133506, 1023599585, 126666427, 727334360, 961421153, 15193710, 830728081, 81119273, 190182019, 864912165, 997203248, 410116777, 788295002, 1047260517, 326832675, 15753255, 450176433, 1030028441, 812261920, 841857376, 927255271, 688121180, 422605099, 66521517, 715267255, 583833071, 379403430, 1034519933, 1049900450, 64744977, 710628415, 720436229, 686187624, 823296348, 983734370, 245940006, 1065650873, 60823872, 1043140421, 1019185803, 228246977, 248234786, 440144929, 1056979272, 172243292, 1010089392, 1030434452, 210007719, 26279109, 94795889, 380892876, 303543017, 660330536, 53017176, 526056899, 616337926, 617506500, 853589998, 464190034, 990698322, 214546567, 63605154, 422671683, 28613147, 288198441, 557429088, 1039827737, 573340828, 911737159, 411359053, 419795362, 941882217, 54402383, 1071048910, 593201010, 1013250771, 294790664, 923030972, 910919472, 290962554, 125223607, 192119408, 732262993, 966874999, 529863145, 399140660, 75639769, 490944646, 603806961, 418424459, 121408708, 872487012, 311115381, 157504643, 576111259, 359734270, 916620652, 908929819, 343082754, 874008171, 683148597, 21129539, 549639306, 959108446, 314971907, 209636874, 1037240640, 868368582, 257485844, 820963539, 613363448, 479858609, 723773868, 718422046, 635007379, 76264783, 743234916, 1033275050, 533990195, 476505990, 791249665, 962362565, 398230663, 534140850, 535997815, 264308220, 8737003, 37374290, 119619568, 995031383, 290208236, 201189024, 41515007, 497028109, 775591673, 531152681, 598073021, 226117528, 866094025, 1038583819, 448876036, 389400827, 917745659, 53526708, 33242093, 592237064, 861384001, 520777388, 594555993, 1000651568, 203681854, 729586794, 647856908, 462306199, 93595449, 922023746, 651422444, 846789555, 217342157, 509550547, 889525760, 643357547, 281423343, 977803049, 263808425, 658314467, 320541756, 353921846, 685043426, 173925655, 197896007, 1017497057, 550293243, 890355844, 767211969, 1026288930, 410327498, 242404685, 974111168, 302978783, 647952107, 955313960, 811393412, 194881752, 335589868, 792389910, 321044807, 862899392, 17706835, 884590577, 353553622, 798560666, 715296166, 635410683, 738814176, 910958955, 458430931, 100321383, 340146960, 282152519, 454020102, 357991584, 6565530, 280855797, 158493894, 593847827, 816448220, 34043019, 882053780, 958594835, 1072323277, 726534072, 50110805, 271962524, 842638785, 114772690, 184497637, 780086045, 127607759, 570346441, 463600416, 270678520, 437423541, 924239373, 989477179, 220898949, 839408630, 407043839, 771054650, 978026604, 527064168, 752982540, 643108911, 977535560, 296918329, 721644674, 958107490, 180573059, 403890725, 1016461757, 727031226, 1033126333, 359269028, 312912112, 566043983, 277345972, 430405132, 807978318, 713553952, 827193220, 377574456, 494121174, 91377439, 839979055, 284777733, 573161655, 1040412933, 818001809, 1063055078, 449006975, 228510666, 428476866, 436222873, 526880274, 22073051, 817776968, 925499227, 734422415, 133121690, 341185006, 869632710, 935846996, 113776622, 936587433, 798907188, 811337183, 995803407, 706430078, 54477646, 545114670, 935355953, 230980752, 786440281, 597469934, 1015115657, 311874829, 69064247, 1028364757, 987794068, 452626993, 972397134, 739474904, 480594166, 527095639, 32333079, 470582772, 684967321, 677975603, 422847966, 681229955, 1006377834, 826759041, 653319027, 188041466, 876965929, 603935007, 453196774, 105180509, 10866107, 97360586, 86104842, 597923821, 191932483, 588634426, 650533372, 319650382, 129807214, 403458170, 513297268, 633671891, 264273776, 302168187, 774820177, 1029363220, 567056275, 164741248, 880054371, 64946052, 2754662, 74810764, 325510509, 296892025, 823005763, 322239623, 273769578, 676867760, 463113742, 526609920, 100052876, 357118716, 828802617, 463157363, 501075330, 679333619, 170923781, 202586803, 684290588, 893482238, 609248380, 52604391, 1057808642, 1066706908, 628352615, 978256442, 308940707, 1010470814, 452667519, 842365719, 137016307, 964525399, 53175847, 459484873, 444377606, 101755394, 378919445, 478438186, 301248054, 899867438, 1055149570, 368273334, 761556526, 433519437, 320659205, 941866892, 171397853, 749069732, 591282290, 912023531, 240065233, 87972137, 539394740, 95445504, 81476382, 882657106, 139896634, 882675741, 695303853, 175877052, 432396454, 669794221, 641451524, 678112721, 923525854, 919516517, 386529062, 125979258, 1016418429, 246474849, 781585353, 920401377, 781421095, 631412581, 793072332, 478169506, 968763345, 231739402, 975371319, 994792075, 127555289, 880962967, 432837526, 1014930738, 2866886, 912183770, 39727383, 450111896, 538882668, 250746446, 971515196, 48622826, 176201380, 22643715, 43823854, 412174103, 650242997, 681884312, 260705884, 323822828, 164874508, 631237863, 994552945, 998359873, 310157052, 891139364, 17884641, 27006768, 455816546, 172319880, 585717807, 891640669, 75511343, 851149792, 440925115, 702865308, 965894901, 724222977, 403395633, 595068852, 378326500, 908507141, 343571979, 288410878, 219416280, 340140672, 822382448, 720712569, 458860196, 848591134, 939292219, 595126738, 844205970, 866312492, 571322635, 257488289, 505353359, 231006238, 83696574, 120067830, 326389694, 894578291, 288602652, 902031024, 205927511, 548008829, 877843487, 73605348, 978459418, 623209756, 539955027, 294912069, 408579772, 871370309, 469987207, 459890490, 612703504, 515169490, 1009956296, 911657310, 67632373, 30973511, 413932555, 101616590, 1065856410, 1027958081, 73257335, 24495956, 460336829, 494185854, 705546800, 577379831, 189715019, 821015703, 949273075, 351260440, 410563886, 192464751, 229925097, 445103454, 245120202, 630945954, 735579896, 663429147, 721254748, 1011985117, 115064246, 104506567, 672114767, 69820939, 937025881, 768771017, 969953090, 765580171, 194006556, 489994857, 488603789, 211150932, 293091385, 214645808, 802004907, 1066601698, 540074504, 970976440, 549031374, 728865849, 923573246, 306555095, 538238878, 628057081, 968966216, 1055859287, 414370409, 108477584, 801272908, 421681025, 998956711, 785723625, 658053540, 543149650, 180573204, 388411078, 685925581, 428635126, 148963623, 189799160, 60827755, 697277917, 265694526, 30488637, 14789220, 201914533, 1058404441, 326183115, 709142795, 70423343, 299270804, 731864739, 286576266, 291916012, 27136541, 1062372001, 954615034, 656112470, 1044965931, 127229992, 605748175, 616717581, 35254780, 315375469, 538302391, 869373249, 433508790, 849307665, 141116668, 948871093, 839097263, 585869102, 633725189, 115724983, 502193295, 357635899, 356989248, 820865775, 590974281, 711917505, 755817325, 578164913, 947947582, 735744521, 1024380868, 677881846, 5754755, 719885541, 682138831, 434149515, 120613064, 503757713, 698890649, 792378018, 615363459, 615486493, 172309260, 713782169, 64655768, 546415181, 493849850, 534821802, 694862801, 702048441, 283739730, 813894534, 572371366, 588370047, 895573191, 866049277, 971073189, 186307729, 437978034, 44853505, 954467858, 159716419, 647167069, 423867652, 595231010, 114171794, 851910108, 92648472, 801958726, 330083400, 139304865, 148412896, 345141247, 792126522, 730782892, 466572019, 432461353, 337162310, 540624043, 503991761, 561692559, 1013319745, 160140515, 113646865, 288825196, 166296182, 559476340, 364037692, 850230070, 848948979, 993200715, 232958126, 859048505, 88760269, 9699312, 112664680, 554315076, 989930319, 1001792486, 467233766, 835693060, 23193370, 1045141702, 13894651, 733960206, 965816556, 950407070, 489998652, 787270127, 454738273, 920843813, 847145407, 29152534, 3136388, 806296296, 309339249, 769517760, 424367452, 263365282, 242770303, 332514510, 163438213, 792414047, 793210013, 638369120, 470342837, 25715596, 344409338, 459794698, 812000414, 438759952, 141875544, 548788024, 875362582, 529215708, 56491353, 816264967, 203044097, 350507328, 356516741, 993677658, 142015009, 634745636, 299220486, 89046594, 366991354, 7601330, 830025798, 316905070, 109758141, 618080743, 432823368, 793163969, 216137748, 23749914, 178060903, 897303493, 156441440, 805133427, 92477720, 963691542, 615767006, 859444390, 90167393, 209079457, 578392321, 1013804567, 663919553, 827408484, 396088192, 874497113, 936793058, 1064790897, 295426878, 978785974, 793672307, 999651574, 528534626, 321372231, 822067288, 461739231, 402385850, 1057114549, 504262845, 829858326, 355175925, 16153294, 729835005, 14458931, 109954069, 735014268, 639107010, 689022942, 446768715, 666356277, 767961726, 310625397, 955715649, 318860491, 145743492, 860911697, 636031148, 766449561, 470400407, 264146201, 490101279, 41410745, 512715789, 616745062, 788540772, 305452614, 90208575, 188941440, 109981704, 273897803, 278009785, 981918641, 274674236, 418206323, 389999251, 818331887, 94054053, 457401827, 436727516, 1073446212, 473440019, 787809152, 797040592, 99845589, 838116899, 621137321, 201520374, 53713404, 602926196, 376099785, 648842402, 507042948, 1009902642, 783741888, 544907654, 25778937, 640577477, 363566079, 346706848, 554825233, 846001301, 908282540, 869785435, 1033835671, 506224168, 542826745, 718009102, 296412175, 907599734, 522554149, 395959824, 335886623, 464097537, 416808698, 465205455, 1071596305, 55883899, 149911530, 805586082, 1070407444, 598645088, 836789353, 493641007, 408058408, 970702479, 482092369, 194640007, 951795491, 1001577887, 276907762, 313423282, 501069550, 650020554, 760738141, 286106629, 265291752, 621932642, 953607190, 208369151, 592566665, 959758548, 776840504, 206947623, 1037069698, 811831074, 561647213, 506729055, 914489679, 496155687, 1011293516, 432324017, 1022129968, 979643427, 473398677, 234612919, 42012754, 941255535, 639765031, 214738590, 251580448, 74070217, 739411241, 917627193, 131870477, 219322835, 263272069, 634401117, 1052539771, 389554546, 32167480, 386355790, 610666436, 176257111, 485077774, 85922901, 347403213, 366226527, 124131448, 186285763, 138530341, 680863273, 218539455, 431777897, 398509443, 470178346, 737358484, 923124375, 828028367, 697005827, 682461052, 551127176, 374180939, 688937519, 244054578, 927466367, 388240480, 836561093, 229066282, 662061009, 705551340, 692489339, 240373595, 775961907, 1017176183, 197305953, 104585250, 651061567, 797374196, 121468389, 35509902, 590378259, 60922912, 614284343, 420202290, 254508413, 78564874, 463511741, 404601063, 550683345, 547206600, 1023009016, 547696237, 580682105, 202242658, 27308081, 73877977, 711826326, 572005087, 1015160061, 964101448, 367148295, 215596615, 807117573, 480412530, 431602205, 788812526, 918369771, 674010372, 368541661, 519510298, 551631761, 672670519, 580828770, 230493482, 462626468, 709998646, 79577823, 134496086, 720883853, 35989358, 741016863, 857303980, 545422817, 443981265, 178397325, 353319690, 700241468, 277709581, 636200315, 806866740, 36372632, 249235530, 566192290, 654359130, 714237260, 1006789127, 902812955, 964963404, 6594688, 646391225, 651308401, 633125685, 312437769, 242739946, 215260758, 518936124, 94624114, 743261377, 62669165, 717305938, 151322075, 33603134, 69857477, 654881541, 860632134, 959874889, 186643240, 721596452, 675059377, 501529785, 339969851, 711431323, 505611685, 131448791, 103264607, 545619523, 946648590, 164953311, 846723271, 877715738, 54985311, 253706228, 514286054, 866594180, 969853585, 135745954, 561175914, 797838377, 34385708, 360502707, 397439657, 715213524, 1039670632, 655417589, 66688693, 786090814, 656560479, 681963004, 1013658518, 82638905, 423797680, 655942721, 871117996, 611765095, 245239910, 645419234, 195204407, 626012954, 492412003, 993823218, 400899583, 634382442, 358542103, 1004344738, 582691166, 99758045, 465434093, 973975368, 97237053, 549845916, 543324257, 824147610, 1000377715, 166759691, 160613651, 1008338325, 539499992, 963284191, 831912739, 98004391, 330417935, 48409827, 651022056, 328932322, 84387297, 432961665, 415074118, 810954521, 941226385, 894639603, 599342492, 68159537, 912519494, 140484409, 284239641, 598090105, 252783370, 909298152, 871607518, 310926641, 560413075, 822002518, 193774581, 597599282, 421414299, 770325129, 1037850578, 1039543555, 884224354, 799718625, 208177856, 312967639, 173947533, 1000856615, 1045605946, 738853985, 848930388, 848359029, 985538944, 722971122, 209743290, 475894274, 27130038, 457799912, 748705271, 86811544, 305395251, 811653396, 75752457, 579979697, 1032255383, 226643077, 429907895, 51933035, 908009817, 338566343, 974474397, 626611938, 324340901, 819853122, 848234367, 106296605, 1044985858, 201149211, 207563493, 765388031, 756544219, 494681903, 1052730816, 539353624, 5631910, 628359131, 247037240, 756136901, 649231598, 893095093, 804740809, 856308244, 1072369967, 573088938, 552075752, 135725129, 609302845, 616325880, 653048602, 367321649, 957422347, 38408233, 390744614, 20946460, 353517273, 880455152, 59994848, 787751169, 824937742, 536680727, 673982301, 132187126, 727445050, 627232573, 37795793, 416977823, 315477717, 510937230, 703126943, 269370393, 167029032, 336739502, 805642147, 279964670, 199217791, 839501391, 74389998, 273902405, 536209397, 112159864, 3591470, 561864986, 908577401, 896355624, 177260937, 156425273, 272682627, 62239361, 1034561935, 317833348, 230224552, 804202528, 984288275, 746992574, 248414758, 442881414, 7859512, 1046590377, 52743940, 287752047, 3521615, 594793340, 472408300, 835669690, 238617113, 567878093, 749585917, 578220781, 551795578, 1027891862, 319680141, 386554225, 895443609, 854758251, 831055855, 198061653, 461125741, 722995736, 35767850, 691184826, 933771126, 748037093, 692913821, 386250288, 277734700, 953007603, 890495763, 959051783, 30504368, 193590969, 47469787, 1067717591, 81088172, 300264059, 971813251, 924998665, 407899051, 638511348, 1014458732, 1073414848, 840498046, 506064180, 206509694, 730336801, 682309134, 771617357, 267657805, 494580427, 567856394, 146936639, 32013329, 94679052, 991481581, 455429805, 624131819, 427081802, 1059403914, 900946264, 1054649081, 396911104, 35429328, 245770237, 390480878, 130576049, 340778920, 955851790, 700640819, 894305361, 774205982, 579568779, 925554474, 371967529, 238396805, 944014909, 808105598, 536332847, 24750646, 1145217, 479550297, 255827466, 524837377, 876828661, 457812828, 1050271911, 537333305, 857295919, 242925515, 578573933, 646292794, 152925282, 1014247277, 116933359, 1008715037, 621664847, 581652792, 798393514, 238314020, 311319533, 30248145, 885520281, 879744663, 753972696, 202484886, 789313732, 835271095, 161460490, 782661992, 370024685, 393210881, 370614266, 24269130, 309918781, 560040104, 364463284, 1054582708, 962164177, 652810067, 509443877, 615616857, 184061794, 986842986, 456887357, 178705887, 298817875, 95494993, 628232746, 279656825, 731893268, 84971585, 366391053, 466161268, 551781519, 109946158, 731426694, 961677189, 631539989, 1048952027, 111754055, 677294347, 167686648, 225522146, 526018250, 432434813, 579175318, 223921891, 298933902, 995458839, 715363297, 504323228, 646936336, 455280418, 218604560, 277070355, 978489059, 994246726, 956874024, 722477530, 136862213, 673532329, 1050160698, 975334135, 210838265, 952532860, 767355625, 896581946, 589821623, 866351280, 618294010, 236889673, 180909025, 544501168, 857506105, 735556853, 72599202, 187471777, 541562358, 1005243898, 108674077, 384312035, 682771363, 306113001, 719307589, 1004057116, 584320884, 911637290, 744233636, 1017331038, 980867455, 234684946, 356322392, 309124538, 307356759, 571643929, 648887908, 493517958, 605535673, 653903779, 845660171, 477385832, 821063937, 123551036, 86463522, 464347946, 1039070747, 515119469, 985635381, 1022989665, 591868616, 184778754, 393849151, 258989174, 203689193, 810895444, 909367725, 236707657, 418690525, 87900073, 737731107, 850779574, 752178525, 823879305, 131279001, 281957900, 345429063, 108833675, 272545549, 712393250, 592769233, 942548790, 625507075, 685925389, 568621719, 665971804, 218860880, 563980742, 43395024, 606182185, 315941993, 359737632, 652638634, 863163939, 889760300, 736521162, 697818821, 259729078, 873807554, 428055063, 476526472, 797258339, 860858445, 266598199, 764428375, 940671713, 630673458, 72887000, 447170318, 1005864437, 589071553, 1053641499, 515587493, 228157765, 557834914, 505180772, 635512859, 59883286, 184195316, 874574477, 487739361, 372923552, 156793773, 656369042, 1001993405, 731153846, 10403387, 892905651, 540025143, 109844029, 252793339, 110957594, 598721298, 991820790, 436240665, 495149605, 574785073, 581220634, 962327634, 381159418, 413124767, 496210436, 161555767, 492801405, 804465189, 122563148, 485315342, 489567864, 695404445, 917603535, 198000591, 977870979, 399849026, 363429397, 797029537, 244651291, 115410236, 230765016, 279090431, 107864737, 222918302, 199983874, 947666521, 635405513, 380538725, 818481706, 236075607, 912549668, 690844680, 891301371, 874947930, 823141501, 198889581, 678997003, 342727842, 1000027550, 546756695, 248865665, 522309433, 429538677, 270039268, 220767121, 111297573, 243346299, 157677258, 1035995741, 482875653, 297991051, 810579543, 203948137, 990544091, 205002043, 992812338, 340542988, 498329586, 1045279335, 427325224, 244396813, 447889320, 386233646, 265012760, 925486185, 631403414, 176597006, 138880613, 502702073, 428941395, 443582566, 318584971, 642330032, 875048486, 80837146, 677163855, 1034987151, 335588198, 350095927, 911934364, 39311136, 783719075, 903952563, 188612714, 953267283, 349915281, 191636036, 900415303, 793026765, 718524257, 694707304, 611775166, 369607284, 943435466, 627634089, 122084140, 683402877, 476166412, 58166874, 724642781, 1011315387, 168238391, 854547060, 55558525, 651695589, 658397494, 738958680, 743778612, 909011813, 353700402, 689557575, 126271874, 2071682, 884151465, 514414909, 806252847, 236864862, 958797733, 751629194, 120403058, 880403267, 517280882, 220844032, 444806954, 283098001, 189584852, 52851566, 467171615, 603038632, 935960273, 415728113, 491542345, 511879030, 429918876, 67355990, 908265232, 979382381, 752969226, 899912311, 209903475, 301395390, 519455803, 899480401, 399324490, 382274633, 833928926, 919401638, 568371743, 437509852, 1044838822, 607016119, 421846304, 383568606, 712039384, 358400298, 1008535781, 1062986901, 91521579, 350112041, 473735393, 525447468, 646171614, 516873096, 1059538851, 771176394, 869983598, 30515487, 788377058, 890929796, 545436009, 857293173, 736249989, 1056296917, 487952575, 155503107, 630581278, 87600912, 4970311, 1041266245, 1053619431, 619381642, 735971257, 995475480, 503337156, 599414307, 712158491, 384344060, 541700527, 983254084, 851837040, 295888645, 357732948, 752011350, 635296335, 1052950423, 32065039, 551151341, 229178513, 498448086, 422405704, 620802782, 842800055, 782323919, 291236213, 794420202, 1019708205, 203785385, 986454988, 598322855, 566112151, 87340964, 714524338, 723221787, 367505202, 626443572, 515784126, 705516369, 654078462, 810294485, 676812848, 870063750, 634351408, 376570324, 564909740, 1056221391, 838199520, 288210786, 106454960, 206695332, 544789615, 492671996, 412041993, 216322280, 878183756, 403337443, 291520181, 696308277, 872964217, 35226359, 621995024, 356890447, 915121547, 80056705, 850733001, 943595040, 977141801, 1047864292, 267260491, 239215328, 824868810, 733127107, 736438286, 169931950, 667295836, 855297356, 656620984, 511438726, 857772430, 905795703, 15290123, 1068819526, 954440088, 2818910, 735314619, 756493399, 1073544961, 964477765, 148673149, 306239371, 1039006895, 920408408, 721961163, 776701147, 809375467, 203564883, 49656400, 95681983, 282629029, 509492349, 935293005, 659044046, 851034297, 945026229, 397656119, 978694257, 548487419, 737714622, 873816118, 435635426, 1031873453, 1008449936, 222098493, 678675933, 326722685, 313341478, 933195881, 582872389, 975979944, 501275876, 771644979, 336409336, 921252105, 616675678, 747323373, 491291550, 655434058, 780920927, 942445277, 297043773, 882178612, 1061956820, 102442689, 830083187, 786277191, 790892339, 150353808, 879152470, 764217224, 453129633, 256403111, 706203652, 111925966, 403069250, 857587938, 162722912, 954288916, 164752807, 761805953, 601786300, 166162944, 584872259, 59378205, 969297892, 449131973, 178363755, 605466353, 211581030, 784169575, 505747629, 159532258, 305937662, 575950229, 915980995, 465751162, 936915432, 1050319081, 846828178, 458421432, 918186579, 774130301, 861298617, 1033126376, 979524259, 1031336547, 839849858, 359698516, 335251020, 1024050696, 3826537, 1070937152, 126383707, 98548869, 873558516, 370473874, 233100169, 527429930, 638882256, 863736489, 785285549, 838286956, 351923360, 403287122, 723497324, 815506146, 253653677, 842758162, 57814175, 995709563, 602057828, 839357540, 565809852, 1055037963, 125405265, 960561588, 267474250, 151611718, 1002514522, 967564036, 234466823, 931830657, 775569058, 270619426, 505566310, 257524239, 719000226, 753905893, 536645551, 291538124, 1001210643, 328770905, 735140575, 410137002, 190505241, 299392201, 903346647, 968781568, 1007539815, 617818487, 469338751, 699950587, 324449923, 38579945, 929748361, 705975477, 838650771, 737122464, 502202206, 501017568, 758768776, 436936186, 933109548, 594251920, 674285581, 993727937, 888701108, 937117844, 28573090, 357070514, 415576257, 614348576, 408881571, 951798666, 948434001, 415309065, 454499747, 498498013, 771023247, 15160397, 739392320, 273730556, 415890286, 546985161, 780096823, 114103768, 864308462, 850501602, 696955666, 201064966, 970378245, 911385978, 883779843, 98517892, 65617790, 795181304, 695411020, 65833119, 591080385, 946959132, 686833311, 827927240, 987833861, 575985297, 255535673, 449806948, 713737865, 601461530, 318886579, 484217859, 29170484, 210511788, 9134239, 527933579, 32943284, 689335707, 469025291, 936333212, 925132586, 578562714, 265120835, 585606219, 940894942, 574951732, 586249826, 175749918, 955501634, 67861920, 214472095, 83528116, 497802043, 166917569, 640079188, 737039344, 649711285, 198581368, 392063653, 525173450, 899300999, 817434708, 457758600, 396715472, 1008973453, 494600287, 833442972, 448366382, 583043503, 154443256, 70035835, 701661041, 843614332, 451554353, 932517210, 156764985, 923780177, 485798601, 177416093, 811415165, 587434693, 406163726, 45368830, 901838161, 707635854, 124259958, 89352194, 390806710, 902858976, 331220462, 495368466, 87972280, 381176663, 302579150, 146181251, 427062081, 123284809, 293898625, 595169968, 70324539, 856864166, 168101891, 734062968, 872100680, 881336787, 680571298, 72765747, 112294571, 14133079, 885586318, 858850411, 846136685, 1008564878, 45939873, 158674313, 72505717, 769717969, 897434533, 890372816, 569092441, 161159536, 510099503, 968174523, 151078215, 520068022, 155086217, 555259043, 367145868, 838074535, 711727216, 740755500, 249709933, 256598259, 696798358, 68835977, 5818364, 305212248, 405922418, 630308119, 1028312846, 646442610, 205267170, 769528690, 278805318, 1013478043, 607616344, 183215799, 617224567, 753976379, 713852812, 534212305, 307209374, 647710292, 1047470912, 983229561, 656731212, 235140061, 465329406, 394639727, 292528271, 295379286, 600607947, 115312270, 1028732307, 946186263, 692700595, 580672622, 1015653171, 434259876, 138425946, 924441020, 990120803, 897700002, 888216905, 99134741, 261710752, 465028480, 1058792766, 387695081, 783907258, 936015363, 378845191, 658984340, 702315205, 94275611, 944468683, 806003965, 707375759, 62480888, 361556078, 961417062, 560120689, 124558434, 610218260, 977224793, 640270406, 72353595, 87083754, 764255740, 1052087679, 947036174, 758803653, 51399104, 754308026, 889098271, 463616642, 821671316, 305971330, 200104984, 881178250, 1006795191, 795748822, 692633444, 398766276, 764367004, 380261363, 313846069, 249835933, 86314542, 123842424, 74575937, 337126773, 835551115, 969668544, 491732941, 519786646, 295884868, 591376137, 770440679, 662297067, 963056697, 524138539, 59149694, 754044761, 426999517, 175326429, 604266331, 264564341, 838290987, 459858720, 90190519, 780080984, 389373020, 211786703, 114943593, 499921776, 708763249, 888059243, 823440652, 190029961, 432634385, 383008013, 253329557, 709619837, 1017474221, 969501048, 932078024, 995692425, 175540100, 148581285, 244380741, 915666762, 716542982, 819432291, 844717046, 237811514, 727774338, 639335160, 571084527, 512459087, 269570513, 262258681, 24052324, 349786023, 26028554, 844236111, 70202693, 396614004, 359953725, 140696882, 219055458, 622038265, 1037419095, 586083220, 773842255, 192042499, 629872375, 305606164, 940411227, 624926881, 796265861, 384277364, 337974456, 662963566, 623565665, 1004332355, 130745309, 633646206, 220598005, 33038775, 454444413, 1004297125, 503722589, 845211513, 660043548, 126436327, 808118190, 102008815, 96549221, 112031628, 370184231, 872775380, 2841920, 355523324, 795056855, 850547074, 584527226, 286351611, 171966751, 931993331, 72438826, 733950953, 702484405, 390737433, 377198418, 724780014, 876297944, 129094255, 134738161, 631406174, 466970825, 650934790, 845916782, 453959150, 848434300, 63586468, 483934579, 889712244, 154922759, 731355531, 991896912, 660719502, 287512860, 327252333, 402068587, 688275234, 380705712, 818115849, 383176484, 774173485, 1021721819, 1054478133, 424394312, 470034176, 477967218, 928002274, 554495404, 712763339, 132055308, 498856075, 909376369, 523448788, 832871714, 582060870, 908022532, 320583737, 1015911648, 708090056, 413229724, 905512098, 689404643, 892506664, 767535541, 263668101, 1011408085, 1035442635, 364365976, 714753299, 50251360, 353175402, 431495537, 831111863, 512713827, 655391701, 1072969790, 820377984, 404841975, 689291607, 219118194, 84829299, 357480768, 793295253, 684540836, 1016650809, 202460374, 440902422, 305748291, 962024564, 282348286, 1000091455, 345887341, 693206931, 699174983, 506058577, 903560051, 669748270, 518210433, 63032206, 813338376, 877168782, 368782549, 110369362, 271383364, 991548355, 417035547, 327523883, 278202138, 64431985, 189269454, 57406167, 254671559, 177057509, 885070575, 406271528, 443873933, 161279930, 756455497, 91415332, 705086443, 967757796, 761126905, 766699371, 600770399, 350151824, 566461863, 509497021, 203981464, 631265304, 171086801, 995783481, 70723184, 624906158, 845736440, 988715897, 550693718, 115420658, 976991002, 98532685, 775272884, 1072455865, 709445083, 816840820, 517370834, 611761748, 247774595, 394904989, 41239992, 425566693, 945538781, 901196443, 232647759, 947864970, 674100888, 787481319, 33273961, 680174501, 671710196, 534357887, 616152243, 333204801, 280285307, 772127995, 556920318, 690515193, 314254773, 694008909, 193566655, 150654053, 231534277, 859466920, 474614268, 747790663, 364056634, 499355113, 837862803, 902338600, 251055934, 519561790, 761684962, 662330412, 183164857, 822640088, 980735211, 841455497, 356451241, 799575310, 575773461, 806789253, 670611705, 1027014845, 529553655, 654627140, 234454249, 110335611, 991686622, 361112053, 569755315, 697461417, 1057790552, 525858546, 560935251, 74377035, 590139300, 19758353, 693931502, 1010404282, 33212535, 925068881, 719076603, 607745871, 683456958, 184454265, 379892467, 666234539, 1041990767, 452205808, 468140727, 535123849, 1033080763, 349620698, 202706306, 1067496892, 1003775940, 145008862, 736708957, 729784074, 538517633, 445371170, 554094879, 820711056, 465998501, 141873025, 294905950, 326089375, 63099490, 405101519, 675292597, 643288397, 509237778, 882736744, 513567965, 360679675, 89186587, 406832125, 209041415, 957373345, 94850720, 155419345, 27775599, 16314894, 908629460, 967123323, 13962577, 463826055, 414383456, 1018151770, 723225653, 639923572, 895597796, 658608448, 30813655, 271373003, 796882125, 750918985, 244084536, 157665728, 586340497, 800214487, 526760609, 606864277, 382211731, 25513862, 400116959, 480607637, 609925497, 383013330, 106671184, 606266936, 286866806, 295647570, 926403769, 250587886, 79485996, 868356052, 731762369, 27352640, 312922072, 400052754, 21722574, 229611317, 309104608, 1013164902, 526083687, 321267546, 574282890, 701577415, 302672969, 451806811, 522883909, 803090541, 858405671, 838336443, 1054967904, 238019734, 313359037, 387218739, 460756258, 134464790, 125571471, 709460013, 361646357, 477998189, 97780762, 550931146, 262577313, 505942037, 253061343, 630601765, 1573896, 148217033, 492415978, 513184564, 640745225, 269169807, 592663998, 799198731, 794966890, 302676879, 36301634, 454801823, 776532748, 508834373, 284335971, 919470134, 464075332, 29627078, 151449173, 95561761, 253603847, 1006421372, 452059461, 927654170, 186854770, 370690537, 614349890, 502870444, 167012761, 7216291, 526722529, 81012906, 39315974, 793727064, 162383735, 761147139, 133320870, 623780995, 882128693, 342144356, 891850223, 923083068, 29960791, 156350809, 757780509, 224279947, 658565853, 937535584, 782298489, 755334315, 438868321, 286335868, 437329434, 23189537, 804861294, 188495716, 999138624, 1034398281, 242738778, 754317791, 1047728438, 347831500, 435469442, 248003825, 62740176, 755779479, 541011117, 720530509, 909087164, 831232850, 859956014, 678549303, 335566970, 334591334, 95082130, 555635290, 1016223228, 1073275421, 200657019, 337499401, 537658813, 876924288, 976927608, 499180332, 332906660, 178882764, 779786077, 24346444, 926884489, 763141916, 457782413, 493407571, 891799697, 707399708, 19047806, 35765649, 560522217, 646167838, 63021985, 746272768, 82725677, 734990429, 249909161, 492830425, 256408971, 298936133, 112321362, 304212177, 248464917, 488884253, 224113011, 80918448, 889371633, 881616616, 1072322045, 348806039, 219568647, 877243688, 655527095, 693864593, 959438983, 788217593, 116080867, 569937463, 530233587, 793634482, 862914596, 1054697177, 604724873, 697761466, 415097304, 1065027546, 373179305, 157147310, 874255167, 360276115, 445959376, 12632454, 285396822, 353086209, 1040593150, 392542937, 758010967, 617745148, 895312618, 33511504, 274907400, 443764993, 62777090, 371619863, 17466951, 703918010, 543463571, 781202893, 472772423, 51456123, 289805432, 461353813, 802411645, 231341776, 79889117, 732502492, 175663115, 735958597, 31642269, 945854523, 163732828, 1038332880, 889573564, 29359361, 976811762, 902673707, 811399241, 450937074, 540163582, 636674434, 792002050, 86493499, 331004289, 512722112, 609502085, 743327051, 257674270, 739233582, 270135725, 52707793, 668129125, 369314466, 615100627, 413765404, 1040018358, 80107836, 673120643, 751780326, 768242877, 88216731, 207716425, 303625611, 928678059, 269875921, 644754985, 1003338698, 1037306015, 358138103, 123190144, 251038365, 173273666, 476688559, 725212104, 971277548, 609351143, 183749471, 897385394, 39700733, 858290666, 203115965, 919289711, 377620944, 278630058, 526491040, 313278762, 686439506, 409435874, 696655383, 790728014, 67173477, 808946344, 117459038, 903664330, 854366685, 925475287, 739596202, 336733775, 297775603, 581462553, 286723531, 409497481, 457893095, 32336395, 895888176, 977749220, 482501615, 717929398, 39621653, 986325579, 443204883, 899538708, 178543983, 344439455, 190910532, 951540268, 343593624, 577230882, 356009604, 382194269, 410200511, 300403656, 277173097, 9571353, 1036854713, 877472112, 842026083, 487353985, 30916034, 169981422, 231045979, 364517847, 435817168, 387834790, 441470158, 210775029, 1059564645, 272038318, 969857131, 645657699, 877312587, 78993294, 86655762, 791882627, 316244521, 665511359, 395929313, 337436151, 479822852, 37055930, 200335141, 283861999, 189330567, 479502018, 263586694, 488495049, 1071061057, 919913546, 353445297, 1012754760, 180663517, 500037412, 596500114, 598223115, 761022688, 22099184, 934186939, 843228665, 3277973, 47337606, 715571369, 1008495958, 169605330, 1009951234, 57954684, 944143478, 907948765, 210875372, 302932047, 347887364, 144501535, 877001254, 1061243892, 631586699, 983045175, 839258624, 835898997, 496017889, 614639047, 420989000, 850570963, 817528280, 757656157, 253114813, 846235470, 669737101, 171107033, 214174184, 674117250, 127974743, 1045365389, 379785909, 743057381, 226531955, 974380740, 634886514, 659683108, 208665413, 217683123, 107881312, 801796675, 1062949894, 464641054, 140080408, 923585732, 344187042, 441145051, 1046368334, 863232768, 11063065, 929417835, 1038559806, 406328676, 974673886, 787946809, 1064066592, 841588590, 742893535, 554715173, 796252522, 307150165, 590259862, 488062499, 154330636, 306960418, 1029414287, 298118818, 287034488, 459571075, 1033215786, 943565156, 563377856, 753295452, 291322882, 127261255, 891346231, 119370134, 823614164, 738861249, 96429313, 101519722, 748555745, 6078994, 13322076, 232164753, 943057705, 624947013, 966240655, 785887884, 78283711, 946010509, 382920589, 108385154, 876230932, 999656670, 949356860, 158179413, 601588417, 920430807, 175408038, 479486804, 470137778, 852531624, 281899442, 773974315, 816761529, 489196148, 821196363, 834488431, 1024488225, 243434852, 791796796, 890329239, 459732240, 369821505, 463005848, 584451075, 338440778, 822664546, 281554678, 963336179, 570182655, 691936, 617444411, 198964887, 13964335, 411885406, 665668815, 40226938, 377039136, 201774298, 71776076, 706586333, 331688706, 23446205, 363778021, 436808163, 298553209, 526431575, 1063771194, 721551772, 330269665, 116676642, 876317390, 243298053, 599091417, 849928738, 1038158560, 238921712, 184680182, 936058925, 645621999, 1034778537, 82352423, 760889778, 90195238, 854209451, 888186089, 7264839, 361057507, 987216810, 175881058, 48132977, 612177159, 551877533, 149745552, 962081639, 865573027, 257931935, 489882606, 149489204, 947683021, 25446859, 206433668, 525013818, 215050134, 41255527, 985255078, 173290114, 926956393, 581642662, 952293964, 102677985, 653571864, 1048569790, 919798528, 1023801454, 325176284, 679196401, 258058197, 126679698, 142352220, 152049936, 566000433, 717120245, 201674866, 530994956, 680987618, 27986685, 849485449, 687073664, 539560005, 8510231, 329794013, 588147442, 730618079, 713893251, 606198620, 475385373, 1053653270, 617503043, 302011743, 146059795, 617758706, 158932685, 172241847, 161004237, 1070207699, 685775575, 628196740, 1018790095, 89711010, 760476456, 164425537, 180874072, 726669847, 444305842, 770079937, 1058049152, 969375281, 929253493, 1056378346, 566828473, 166951485, 9405373, 861646758, 748641811, 834883321, 866494961, 735183243, 773907000, 372123726, 751462910, 552709804, 985445324, 939845935, 106822281, 460911612, 387639084, 253086988, 222857004, 958993197, 1072146299, 485117267, 290939393, 102175257, 572280580, 200110605, 525544028, 977207402, 886133965, 803342211, 747676209, 815309875, 353476996, 780066124, 47660599, 206111076, 683537464, 92395, 185205769, 222731348, 21054391, 546434345, 212361642, 216470454, 556194273, 1004810201, 166004290, 308433356, 318649213, 918659071, 137975091, 472549655, 269536128, 897917685, 193329217, 353762412, 238714099, 813154974, 546880383, 160332616, 669801638, 865331293, 846345602, 512283418, 775560954, 1055346065, 47823908, 498063488, 135240058, 167744303, 787824162, 766093464, 401567594, 54963412, 291603419, 967642690, 1054419489, 506810135, 169323648, 703392690, 172245992, 651706419, 122551614, 948944561, 165597176, 24034135, 480208021, 72489492, 994484918, 240380954, 473992545, 906231865, 686745622, 672327835, 39886684, 694521543, 571893342, 197231492, 1035540842, 81782540, 59926969, 919129962, 342106024, 963525952, 119823428, 506668809, 359001266, 551064048, 702734440, 208229919, 392987316, 580228081, 352094237, 277966246, 225563488, 344494511, 769888981, 372633117, 7534782, 869415923, 525400124, 76107906, 868426407, 465981423, 677984216, 141413622, 418226970, 534771149, 420469826, 637775837, 292204528, 249878826, 610980111, 978447556, 328182290, 53108864, 674759596, 413110657, 31946498, 629711061, 615459942, 693309204, 58387239, 600166838, 75464153, 578831469, 974267651, 165488368, 358149350, 1010296671, 267651263, 784963986, 993044904, 48433520, 88325116, 836104068, 916389435, 364192959, 792153361, 841648922, 777047239, 766144903, 607090564, 366994722, 209978478, 490916932, 1072061615, 235482654, 714321885, 635832694, 843785437, 250543139, 559068608, 431811204, 155439272, 326132384, 584103926, 600432034, 913340500, 839226150, 639280356, 1025340616, 976936803, 330156958, 371793137, 828196237, 135434471, 46461356, 755035674, 473436410, 281501734, 927059148, 909593813, 442275790, 189227519, 302991311, 603339734, 160647654, 207607180, 1014123489, 991137542, 819218729, 781748719, 985561862, 1070575041, 690502685, 1048034144, 570935355, 341212157, 715625459, 274012236, 362438101, 863485143, 615593401, 535597957, 990495836, 694410270, 813773813, 859000762, 1049972763, 583634394, 105262886, 604125559, 699191735, 254114372, 292677630, 566365439, 911867797, 335460341, 828314840, 824748391, 92402627, 961191484, 1049175072, 582795291, 819158472, 830535107, 941358766, 631909253, 648530445, 797874421, 30968669, 234855953, 98263450, 88481223, 452319591, 805493084, 1053194630, 56042822, 333480492, 239615005, 272024081, 406648152, 755191096, 1047683783, 70610814, 380811773, 1046196028, 463385213, 900733634, 698608181, 308698659, 54593833, 720787107, 122390252, 776579142, 604026993, 326604877, 237361176, 858921992, 806627992, 630447105, 27289468, 141431763, 361659958, 12065454, 332982837, 486965673, 289031991, 289264026, 274731892, 786915979, 71325521, 552789575, 479715956, 466513752, 371331296, 538504682, 1050108527, 620329954, 647513213, 1035381084, 24452704, 1022863471, 31359431, 267387470, 259753316, 174683331, 841638591, 766813581, 1073090247, 282950155, 243094850, 910028487, 646092429, 474189461, 170013727, 138327875, 1019995640, 948047605, 643519657, 565591967, 210202224, 719255051, 605517528, 882343473, 275942808, 622638916, 599127077, 306944811, 1058859943, 1016957483, 212415664, 159997843, 29293270, 908635617, 920338120, 68729666, 862345809, 139435665, 647721848, 282695615, 271740584, 288489968, 877719230, 751109090, 1035422490, 720878696, 965664475, 743505414, 58414510, 746079573, 822836972, 79604523, 455139455, 1072909648, 428964402, 936649144, 52136820, 858316883, 378939134, 482267210, 611007973, 854793496, 775464626, 73486110, 894847257, 821875244, 210986943, 317205105, 703941058, 259384218, 161122408, 202006814, 743177510, 489453468, 1054544053, 73330930, 827363879, 376700443, 525039515, 885251286, 244744634, 289628039, 874720681, 163149751, 193882107, 137825699, 13648428, 472731897, 288724608, 257090708, 267156861, 394035702, 910357501, 134191785, 377055928, 36020152, 224892073, 764932316, 772811818, 719677368, 249646611, 168284326, 125872647, 1058503469, 747670659, 293861626, 16700070, 338347020, 1052140057, 414194896, 530150807, 517775905, 158922174, 180909693, 700432676, 212116315, 728010155, 961518931, 521492117, 1022223724, 260093343, 332744249, 193779575, 260215740, 901446979, 793943576, 48668882, 532948089, 450354056, 79907247, 78669992, 858700396, 653613088, 567698139, 165138358, 70697759, 505381462, 270125818, 842587072, 952643835, 572860414, 549702532, 286567623, 84431772, 821219598, 737557644, 16909869, 545146942, 932584360, 33516545, 728401212, 4192428, 27670745, 778707483, 106144621, 82395302, 876370783, 370925417, 669844470, 311641607, 651860322, 919330853, 43514968, 722243908, 357262655, 653911968, 253325979, 468495152, 321272548, 286593662, 401534432, 442503042, 649831773, 573292102, 496376979, 177746287, 666208394, 650072281, 1004743486, 447893554, 196557537, 231188514, 186311201, 791303182, 95244345, 727971622, 143048907, 10604673, 371300441, 888966035, 546316044, 291349087, 353385701, 307285210, 90157099, 550046335, 346282957, 77855692, 617230591, 352540843, 370577959, 649417449, 278517687, 384988896, 34234077, 339395706, 630311536, 105180408, 68326111, 375709055, 841691465, 193885370, 495964951, 589096722, 660579035, 955360241, 779175176, 988721273, 667316134, 586976297, 834549806, 265496569, 990910551, 420801204, 801433100, 370093735, 941762008, 46047399, 1052098068, 1071658785, 649869345, 546349527, 620912430, 139378187, 595867627, 37071089, 527213494, 405502309, 786730740, 720266439, 1040165182, 941447361, 237634831, 343500089, 904110529, 963652706, 964153299, 356832191, 452798383, 204404110, 76449241, 995031222, 52694713, 1064093537, 329092101, 213848582, 555545940, 562629453, 469774368, 893684995, 334951773, 643446683, 1020360014, 1024202256, 104726061, 474279811, 744951020, 644077630, 647019551, 818175590, 845956642, 159731192, 940900699, 1067362489, 100638799, 162794815, 784839142, 270116379, 568694710, 428596026, 90131186, 546022898, 932568896, 958517678, 668248583, 369078088, 1055013521, 552533759, 697569511, 1015054953, 208516472, 684898609, 497556799, 473347846, 509627984, 722283968, 733428345, 136601832, 962640902, 275028479, 688135126, 97200223, 458660109, 254224818, 432329654, 959971936, 169181297, 791689228, 658983812, 711230988, 154816043, 753975873, 940396004, 405381054, 1011260658, 130986599, 40919855, 383325561, 729688530, 66398219, 845567347, 579707346, 791654097, 172827548, 863242572, 517868810, 749311969, 986282278, 453308888, 9929325, 517908781, 1040693083, 947119160, 1006779444, 395157136, 736751712, 353827833, 813292731, 888091687, 1055022935, 531808455, 299803037, 912624930, 309954594, 895685401, 792248558, 418666377, 182460121, 562904838, 993203576, 23171684, 821946096, 972999781, 804175527, 823998048, 115970969, 81253214, 224773333, 979469825, 942583237, 284001011, 1063554368, 565313153, 869462389, 694323401, 907303462, 369834608, 758643314, 409582084, 488964586, 717879017, 581417894, 96162955, 255290074, 433727939, 1068959855, 193282118, 1072966733, 451685960, 43236341, 978503382, 921363835, 726786279, 883307577, 557058806, 24058480, 897290056, 144595460, 189596814, 476908382, 981227092, 596799003, 945207058, 44225794, 782549588, 109386448, 961430576, 87082217, 247020227, 414524438, 305938280, 8175693, 67373783, 609068796, 473728191, 550756387, 469663097, 14803934, 895769416, 3285144, 220108803, 807047048, 275588295, 855819229, 829965885, 299614131, 303678180, 622601832, 430615750, 7806868, 643989309, 723516189, 431768829, 85578360, 455418551, 390130061, 35625716, 909733265, 928717037, 716211497, 717347169, 621473245, 521459623, 718695460, 280999275, 122805887, 1010585305, 62325145, 472388647, 635484259, 873331480, 1056446065, 1014929838, 664263584, 61097479, 429316632, 668394778, 1036488928, 1014075890, 28932372, 858659662, 849066893, 246270075, 373900698, 796934159, 1040263930, 224988202, 145197079, 871802223, 519697082, 570612438, 314078474, 336694878, 124484598, 1008050471, 628852942, 486667949, 1024061337, 289302896, 557758030, 19994229, 524214964, 1038724187, 911458832, 517443451, 357587524, 315721662, 583029275, 102840643, 755467211, 685588787, 272142406, 535787946, 589942908, 594451069, 609214727, 39693699, 1050350615, 100861085, 956416697, 381802795, 123915827, 253759273, 83432297, 970143695, 636397651, 178697161, 122630529, 335259281, 924112626, 867171979, 12847197, 1057664907, 1047298367, 787661921, 613289533, 468764049, 299107601, 81039432, 966281246, 827812059, 168161984, 268579729, 96971571, 862364578, 1061217506, 470805990, 1037181495, 708852615, 741236957, 39794119, 1018481985, 980755510, 872352210, 854325295, 241777664, 16702507, 465992074, 343062675, 848101651, 923284709, 835913149, 704378879, 323955053, 222482475, 286808843, 458610764, 260332860, 592991888, 36088313, 479837990, 307352631, 735948278, 292966580, 52492862, 664013574, 95623713, 901241242, 753326696, 393184378, 291671221, 785202334, 753336801, 667373715, 766355157, 907231614, 653778847, 884662343, 363865746, 922351210, 833081767, 728432927, 586068261, 471737348, 75888873, 687288339, 691221182, 378054941, 281675205, 367552703, 779867148, 765604534, 31073381, 114600754, 383547663, 886964050, 1036730419, 932359516, 799393041, 603467269, 876643139, 86032750, 178725344, 561192269, 675255877, 934933665, 685033043, 129823499, 619994431, 607274354, 370388148, 803966069, 762540190, 262742908, 388111853, 230417672, 640674970, 763196120, 412196926, 841446816, 938566220, 364221352, 770517691, 458845673, 334344432, 701206722, 414139264, 190879004, 888552562, 438202937, 110217684, 189555928, 1057998529, 143770182, 56036905, 534590726, 570403329, 790145168, 462995155, 920507509, 887732319, 778082775, 477673549, 159625961, 183258364, 546215043, 938303118, 116395058, 532253782, 981685705, 112978314, 136495748, 814811009, 128305112, 584995343, 403389801, 439818957, 684854960, 423680297, 434001378, 87665483, 559221990, 430426406, 308284612, 325733785, 582576315, 1044529929, 701070633, 638022344, 658319959, 1020381650, 761988917, 967989767, 714803930, 109926388, 740404895, 397812098, 132657314, 1006800690, 24421368, 132263531, 663657653, 640985219, 934347500, 967835114, 317939087, 566599503, 328832745, 949297660, 443831390, 85493708, 414758458, 639428676, 5147093, 850759335, 388030455, 69154719, 138521088, 491949205, 807922813, 1028795827, 160577316, 970824, 614060454, 741554394, 428089054, 618331260, 295606831, 645689955, 141788776, 787221129, 154833064, 1005785538, 85706414, 759927267, 410491204, 232152936, 164695060, 467706634, 674369216, 1001297001, 576097437, 171251156, 822488079, 611916933, 810714220, 430890968, 714260136, 381913407, 172534884, 689526702, 723642251, 815197645, 884247788, 809379676, 375535253, 165701357, 402170610, 1041282665, 941268593, 780270358, 391990981, 1056232171, 82177748, 97968496, 462532444, 753378510, 522670141, 164193443, 125528070, 327453794, 486889915, 544808269, 56683930, 155727748, 650073147, 540575340, 1029377260, 6901184, 513597688, 1039787112, 72879007, 48440673, 405775194, 627557696, 230453231, 830521282, 699403860, 671921463, 86592317, 136662830, 559351664, 95087463, 236969744, 834777449, 769231664, 20022304, 332070238, 916957284, 518380271, 174562111, 506311463, 253352018, 736803595, 370746818, 572927161, 531812962, 506870466, 976898442, 159672317, 594215459, 892884948, 603150534, 114900255, 1063754722, 103016753, 17967100, 589620800, 20823297, 749648781, 243997595, 330450080, 253213371, 667943798, 811118687, 669416835, 44179519, 792508416, 668932587, 500689175, 338955565, 552076191, 531316840, 44365568, 375457640, 622124307, 132871410, 307381338, 782564587, 50069020, 370633022, 816283089, 30660111, 606284771, 908756280, 415713208, 577985498, 1023135300, 800410781, 158872213, 1005775052, 336609248, 305231592, 197502817, 492269167, 526858309, 268525978, 174439573, 472465078, 663346546, 673754647, 90783984, 298564422, 560111562, 117134024, 356950789, 294095514, 448669424, 543912983, 649674557, 269989922, 466038399, 327401541, 505794315, 329213541, 804408513, 628181397, 134062396, 226473283, 995960831, 720114465, 45611903, 110811335, 691822376, 394063067, 265611907, 489701768, 577659477, 574930277, 741827199, 506826308, 735014055, 494831710, 361475400, 781164380, 791340086, 965977168, 383320055, 728331858, 73159136, 117251820, 277489497, 482620888, 671250012, 761603687, 1056789531, 125903292, 523879071, 285893506, 808090199, 166359640, 584781125, 517178575, 179686984, 529926866, 830609587, 172116996, 1024840650, 1014855492, 665430308, 692147178, 251237783, 83559669, 945582004, 892936528, 134695579, 823740695, 17582107, 923593758, 274315123, 1064206553, 438976185, 409082927, 588998090, 672514799, 250838466, 861206297, 282436515, 46019332, 50001886, 577393628, 970387872, 299507864, 183556461, 610126726, 718525109, 765737633, 380778724, 419810109, 76999783, 354666689, 788470531, 678998765, 599962707, 863531365, 738139520, 174620656, 106737883, 739635063, 598330510, 24782083, 227639586, 568617267, 855267670, 976581744, 360656056, 1037741547, 1061019542, 404052588, 899139455, 1016009192, 818413422, 779927181, 658688057, 277600800, 510597134, 840519146, 8011216, 371648834, 758518402, 1013137620, 64264987, 731841023, 999078268, 510660070, 48562489, 460736737, 711674326, 658163461, 185702853, 925092798, 727272475, 581351057, 781524077, 815146824, 969652067, 864235646, 257187449, 277911246, 985592680, 883658624, 232688752, 132691041, 668303245, 629967908, 557778233, 504170359, 51759323, 584859879, 894044834, 915527576, 890391153, 463776983, 866549813, 534191316, 364480661, 883991333, 189990585, 71019040, 143715818, 621174464, 531498132, 74178784, 15732545, 711801267, 739822143, 73742197, 796089729, 546806478, 303568995, 897884815, 504561378, 729770470, 548811228, 21772193, 831187123, 554030613, 958739232, 182681, 465364986, 988089302, 629268925, 557310486, 992526373, 227676281, 838852875, 880197648, 11240001, 358487938, 1041181992, 39662403, 1035640575, 477076035, 56129906, 202685681, 790960497, 1066164105, 519881931, 905774687, 641715959, 423034248, 900530604, 820317128, 582143088, 894221902, 222252552, 708977190, 726340197, 580806450, 1033830118, 385102379, 175850260, 46217817, 627775967, 616405907, 391400390, 720695105, 848276076, 178191851, 47215662, 949590981, 60212152, 207915948, 486426865, 903790383, 442135541, 1060981962, 757811036, 109291325, 666618478, 217325991, 229522665, 514223877, 663325354, 553151340, 888098481, 562111163, 50859919, 846828466, 590743298, 798540570, 235858361, 200450437, 140283896, 175037844, 954292954, 760669335, 298287569, 50220433, 779087492, 452442628, 100947814, 93829736, 717311158, 734550412, 770323960, 730156872, 742054985, 839290595, 184315943, 269773175, 436981840, 185361854, 477018998, 707338803, 982443985, 793442298, 1007675739, 36183102, 629235350, 581697189, 948274012, 424026408, 248891927, 74817549, 1070020889, 977347579, 406538912, 44548067, 553417993, 154740582, 999314844, 805013487, 52042473, 667447353, 992567512, 570841203, 923228040, 1020268346, 121963059, 413313818, 796945470, 1006995532, 179118025, 605346988, 734206686, 619986928, 1068768029, 818559007, 49966048, 153833127, 241934407, 366186402, 500981855, 231826354, 716450246, 1037828742, 447582062, 615790018, 757123287, 412854011, 227150474, 210313207, 153776362, 783081799, 244703347, 1049993271, 422570595, 516824201, 113949653, 572468394, 254842958, 175057764, 322705279, 895815047, 951059967, 308633669, 171226119, 294224101, 90217549, 764296020, 303712256, 484660264, 228982252, 829646116, 552390586, 269894595, 565388306, 637806493, 313948248, 783690455, 81996007, 64779758, 614254215, 338906447, 38329711, 227168086, 765584384, 619058741, 506818893, 763018968, 867919059, 990341278, 31534668, 262505122, 81250723, 343948566, 605479580, 657489013, 762092659, 422311786, 340586014, 464090205, 1020516193, 514959762, 186770216, 495687146, 365961800, 118131104, 301508584, 438232812, 811898166, 160042549, 970780117, 207240090, 173885140, 227435234, 874223782, 953883899, 1025659050, 702920668, 226991153, 260696873, 721334679, 147124827, 677513252, 453697714, 1014326560, 914583126, 539748460, 871203928, 913777986, 1023722773, 566616683, 165094485, 645664647, 855886692, 824586972, 806996680, 879255243, 861871895, 893681446, 984316858, 1030243723, 282660666, 648303238, 799846564, 215207143, 892456641, 160379118, 120101006, 733641797, 36011984, 219899532, 496144222, 688773828, 36154149, 296226983, 328563286, 909562956, 369953858, 353457385, 581380635, 223195004, 661789555, 417735572, 151427777, 272221885, 991900179, 769565042, 497984491, 181460748, 624460269, 421170763, 406446611, 505114364, 340339922, 451968821, 806145666, 993421547, 470703254, 857293571, 374318356, 126868426, 575675517, 56294278, 427784585, 36276775, 2062183, 237427226, 529041296, 971625229, 586341085, 995957036, 177263456, 398021815, 128473324, 1028960152, 168800505, 838261084, 802072032, 766774875, 732235895, 598638841, 609547385, 1022362757, 660485405, 444713956, 766966690, 132794394, 23770175, 957123637, 832202551, 266352939, 1056145388, 118041900, 721553209, 1012676841, 790018061, 581073288, 328016244, 517161099, 909593798, 399466686, 6456476, 726040605, 779236333, 616508413, 726109186, 778922113, 91266599, 1003705084, 305530416, 786344870, 351464706, 567566183, 421103890, 379670653, 460090713, 588683356, 113697571, 588686567, 929995278, 965287311, 711116191, 701929078, 355517656, 994306080, 148222410, 1051874714, 898147608, 481692534, 843907679, 680628994, 401867306, 122179967, 869994129, 1055200638, 687999618, 110365901, 762165073, 209190860, 815244440, 195111655, 523525421, 249383030, 568208945, 689308188, 415775924, 779358987, 332281390, 652498316, 902540663, 227687533, 344095793, 99330956, 755101688, 107285656, 136828348, 413449641, 475210526, 22590760, 793862038, 352596332, 555766503, 801580771, 144701139, 483072119, 531385087, 809280358, 1008171115, 430706114, 600050203, 1046600484, 317872957, 909093304, 732403922, 279042579, 414258734, 816282035, 399724203, 834815985, 893142176, 907644399, 389209728, 600150514, 795902977, 753732062, 808542152, 667739406, 660196960, 341019660, 927685252, 823438190, 767171996, 61162150, 446384233, 478845385, 704914436, 746155181, 5600856, 141773097, 907384526, 307658715, 161372007, 206564811, 322429317, 720791529, 126188880, 841623159, 499121972, 467404005, 327416449, 956241009, 934331029, 681694557, 341018967, 546185948, 979793775, 209050548, 313174358, 575614322, 782614656, 504390932, 666263567, 316662264, 230769177, 776572830, 697682875, 818367872, 558977045, 314913351, 732857475, 212191561, 77897581, 111568457, 994646833, 585829575, 706519425, 1017924608, 981430251, 973365604, 477242265, 734410849, 39744387, 564793335, 743231601, 1039752982, 913933732, 457460971, 229747174, 274867269, 897841005, 71569921, 924021624, 702518148, 456552557, 145735489, 1070127929, 821378471, 1004436194, 635895778, 748200700, 919180041, 851655851, 569040376, 743193952, 1035646688, 270725779, 628341540, 194886472, 477290706, 584442972, 244823407, 948981735, 152665857, 553158218, 523802463, 465472980, 1023352058, 614587496, 26626493, 97990220, 188331139, 1054223718, 1015533353, 964856144, 211785727, 501481512, 567651899, 486874576, 677084729, 634252057, 932438513, 86490194, 653881188, 295572606, 109332468, 594924761, 522392703, 113087163, 255251864, 722195678, 879717895, 71301453, 137289718, 62377518, 664060934, 154670419, 710406305, 959723399, 1004664292, 67421302, 917712648, 319716561, 382443228, 796940273, 183742068, 58711661, 279621937, 273560802, 165945682, 783963304, 852869478, 287808896, 693275313, 120306360, 611431500, 675680410, 932585314, 573653822, 578084490, 627923881, 716455281, 808494787, 873135596, 362756360, 503718590, 18257541, 451982051, 804072630, 518509321, 265265251, 350475678, 247523347, 976433767, 307806943, 184573639, 758816336, 291326860, 972526762, 311037429, 786898984, 221480402, 827523994, 360573925, 523713692, 394169555, 230582394, 174154228, 656238709, 797888257, 784253999, 218877422, 781550252, 591709827, 852093143, 182119965, 572986817, 816630870, 47340748, 604175919, 1055680155, 276108854, 301482356, 265704928, 1042614065, 924335214, 920505343, 181721815, 704019030, 997977082, 625145509, 550113102, 465616082, 19775639, 85146351, 1052457901, 660395885, 651696407, 1062206454, 452486118, 127092716, 1055934239, 266976762, 289709082, 275291981, 416221062, 767816457, 787943331, 767840280, 1010384503, 866369158, 641044746, 13469831, 207947579, 210471306, 491043596, 647150997, 906050086, 53013902, 943769536, 774720986, 1014004532, 109355845, 932699259, 685453019, 299625454, 591050182, 439272708, 520701447, 436736774, 452768481, 515446998, 583690617, 829594749, 921462943, 868200699, 678385864, 580950286, 690541338, 208642443, 1052280148, 507948255, 215893725, 916585746, 493085761, 1072272688, 436046267, 814398337, 46231394, 841072878, 308329754, 178296425, 269065186, 295625168, 171591316, 812254931, 831735029, 70156639, 923343805, 935133774, 91509379, 1073721935, 1048182629, 545125670, 837864822, 91408614, 719022022, 149871417, 955921908, 591779908, 287619168, 312532686, 1015169111, 205821396, 247217381, 582555124, 584130239, 847638056, 592681135, 190125939, 65134882, 461233356, 684056965, 819294297, 70935539, 39308321, 533973048, 834076819, 785472536, 733407376, 488827040, 14315354, 477559883, 24158514, 580015488, 1067498232, 559252198, 139147588, 229882320, 110234102, 468393600, 824526158, 1055700920, 818836372, 917113156, 254397710, 740201881, 21366985, 374086810, 710714636, 136347802, 541457746, 258314889, 439090325, 697412966, 571527060, 699744100, 165556030, 604787512, 80164307, 472382628, 102985593, 694809495, 202419881, 368651757, 90338184, 798304119, 709716129, 327495153, 710482798, 387076901, 510877444, 118601325, 866526572, 352342275, 332296234, 981995254, 10944600, 198730094, 474702358, 833510335, 593771904, 712353150, 573876522, 137443848, 224329285, 614615911, 809124737, 344447157, 412608268, 76429926, 478470229, 968099206, 741306874, 739615997, 516494001, 68720277, 199348698, 980108233, 534288436, 48678643, 675306112, 16507797, 858608336, 364617422, 1031742792, 844121837, 530469415, 648784718, 43383136, 450592994, 425613770, 176860063, 68566284, 140701989, 1012795907, 637346508, 921429687, 486276474, 6610931, 621711236, 536492565, 97089092, 378165533, 385339376, 811321451, 348807237, 404880310, 316876867, 1006473488, 5678293, 55794588, 55045042, 240565258, 618420773, 419590643, 797533100, 707351095, 45500143, 516603544, 12522305, 521590245, 166222056, 900864069, 103857981, 16395228, 207554597, 360912779, 874676046, 945487627, 830710426, 847330041, 541750381, 390865405, 522166472, 512962790, 710314425, 872376832, 361193032, 1043551439, 702191590, 303644615, 486809836, 944396343, 370821998, 191713370, 945308374, 749309098, 27955131, 847364497, 710695535, 821618604, 424953842, 336205568, 710098641, 1044338564, 535960318, 518051525, 770445778, 470373844, 375972871, 150218323, 445422322, 80366641, 174231558, 300019065, 77186565, 381414843, 739331088, 24557150, 748277357, 1010390681, 565104527, 184641082, 666380934, 583414499, 787093910, 949730630, 399798299, 217559695, 169111417, 451673622, 971213458, 632696713, 870806006, 426380283, 340621659, 166217593, 543302566, 836011774, 554503818, 1031938004, 14843303, 554551751, 880656090, 564118819, 911791873, 80147497, 1013376102, 893008994, 655281342, 496631055, 889209762, 701459642, 22944134, 786090005, 321576905, 1028041168, 673037131, 850327893, 919868926, 932829650, 693127294, 798556825, 633496437, 803178964, 221514958, 167781286, 403914676, 993081553, 421294721, 521022522, 131802600, 259116153, 474086567, 463045199, 938118815, 666321744, 888440957, 536696159, 760936222, 750716369, 454671655, 793575589, 535113135, 691616447, 885201262, 1044903118, 396169599, 586497273, 28643620, 719366751, 631235478, 903538395, 1058161537, 732512657, 1015657503, 266977039, 169590402, 682384287, 953390773, 653186962, 565455085, 954566090, 791794063, 322775254, 730054858, 214525827, 834825558, 102134709, 301391785, 909337470, 427925864, 894873881, 85517177, 870474886, 554630085, 760301384, 50928739, 631809643, 115459877, 38414751, 794767896, 164632608, 393149845, 600109001, 189469042, 850465829, 918161892, 319099422, 900185110, 541266643, 777540016, 610725000, 427018663, 237009608, 918043862, 994512094, 10857508, 875342681, 669526837, 55156563, 90125189, 799546614, 848927630, 701524815, 572721337, 986551400, 420006750, 600522486, 496060081, 202588626, 681371380, 20401136, 1062868707, 72412986, 831644741, 833100780, 677298106, 319735620, 1056787411, 674284228, 215064333, 891567487, 558909522, 424438448, 882480619, 1042110741, 905737792, 1023075381, 216928861, 1019423758, 467555436, 835876010, 924740906, 390774906, 959773056, 935542355, 636083529, 719147485, 475629813, 1031908225, 657566112, 369201261, 724933469, 1038823044, 952061200, 528574275, 609548478, 760716166, 73744455, 23443110, 79989790, 413685547, 680122755, 1057784056, 761884708, 894074244, 63925607, 1045976152, 850645577, 733364006, 727327169, 249366871, 946294020, 791640425, 990205450, 713481221, 141230414, 827585685, 511392363, 568772932, 34117220, 973899234, 342742784, 770502998, 991084797, 234730795, 613638159, 358285831, 617020713, 294168452, 376841133, 322354448, 691916593, 1044781699, 748849567, 963286950, 348813000, 890339512, 630533757, 481230506, 743723632, 265079896, 289583558, 971588720, 220710090, 603443982, 208843650, 787513531, 645482173, 83086549, 255743200, 57693854, 985988490, 575374814, 325184322, 456776495, 957875882, 920430749, 568990269, 999416869, 938900976, 1019987939, 332181620, 786317215, 609985150, 240590503, 827129799, 643418626, 618622529, 435894086, 278416234, 534588570, 204116193, 853998401, 869494998, 782575855, 343457328, 1050113481, 385527076, 500128016, 500393052, 1029711667, 494466013, 393909865, 972579561, 1051488702, 880607985, 1057776457, 262256109, 898582866, 799460385, 19828228, 311569551, 201615943, 951455533, 433377023, 295720217, 486412970, 947558455, 11864460, 1012709821, 718411586, 1034934494, 13080514, 384887293, 376742180, 647348032, 469711518, 465450460, 230767181, 673474146, 972938745, 789170919, 727777683, 1021738674, 718450804, 861112561, 102511078, 730078288, 583692105, 1053640376, 1037248004, 179130466, 539757077, 193424915, 96580794, 813531958, 737614446, 649335281, 138149978, 328004637, 660269126, 370200970, 216152586, 641883238, 192278624, 298535516, 839371161, 565346954, 95805527, 371054038, 659412040, 412141100, 438698701, 971974572, 147469835, 57995718, 74194902, 195694672, 226285448, 343242986, 413927381, 945768651, 576145043, 687373578, 367229227, 661891674, 357533488, 716973867, 262039778, 408296560, 584210506, 100354322, 220459205, 445751281, 147074115, 757044449, 83208620, 391807349, 376897273, 823962198, 602205135, 401996852, 636949318, 538095004, 651063653, 961082732, 308913756, 221332337, 542174237, 36083209, 1018862574, 549850536, 265504563, 57672761, 284852324, 1038428842, 812422198, 996843341, 915883556, 175170957, 57332473, 810212610, 613382242, 361354239, 671860005, 509598540, 1073533089, 22610944, 725984085, 631435997, 287604277, 934961655, 346668039, 828866250, 930618330, 37079680, 16801972, 348490878, 643373665, 459593543, 9907166, 94611680, 1029464298, 301416069, 558041228, 992159756, 1064981088, 941888615, 290332823, 421709603, 373915866, 941063775, 623341396, 357646910, 510215689, 242188721, 894576919, 598768363, 794666574, 72437924, 421598563, 454124498, 626339207, 719007329, 176298838, 584113940, 651073143, 322920948, 611501927, 774966297, 23679339, 254013555, 605630671, 759897976, 670139899, 598055511, 324453378, 384927727, 215621336, 93786933, 148301406, 110244221, 58975818, 257470933, 195946750, 55772405, 240459312, 764824313, 675964805, 1069011647, 933940028, 789794353, 54996097, 8972949, 884237824, 743132473, 142925432, 917644819, 558463292, 227784970, 429352102, 157170191, 855136825, 386502894, 408479018, 756691107, 126321234, 880748128, 59051808, 948764308, 464942949, 801476675, 608564855, 129081159, 553494390, 460069320, 266832867, 1013435990, 417626728, 971593910, 25499530, 489550202, 893322734, 458269567, 804075866, 770511183, 250972008, 1016979852, 423251192, 871614381, 440995905, 610506033, 208120599, 537340349, 644415120, 14167684, 275267728, 97642641, 667199073, 719067019, 98042868, 53133948, 457443023, 773552379, 838800749, 644918966, 709346229, 679516106, 147250038, 783890407, 666197731, 539397047, 3257108, 837158452, 1016880186, 294496223, 1018095047, 429072480, 505418475, 81493734, 922043593, 601429940, 139604285, 709671415, 510581644, 122833050, 599459667, 623454831, 166762821, 60975577, 156114361, 342279005, 361595846, 82673796, 155130160, 431618419, 230210270, 947464685, 765176425, 239832391, 480980342, 139630099, 660537353, 841201201, 667022224, 538335300, 112365755, 802215715, 321973891, 96715910, 896837217, 924083580, 661026913, 182083941, 918569071, 577641681, 800523947, 528033105, 288778064, 707674331, 303342555, 770585483, 155431316, 325015622, 1053430359, 1007158369, 367194804, 3699791, 132809725, 419179703, 976270641, 638678578, 569068987, 187454074, 188521063, 972925957, 784371670, 509154656, 626267276, 55664974, 209055867, 245977515, 367477682, 276168050, 658000275, 856021485, 834249126, 938268059, 692391611, 539481131, 607309676, 551791042, 131053291, 849101767, 250596972, 125738721, 354798070, 844434353, 544438199, 288737071, 109139800, 327245042, 782390646, 938003646, 916739433, 272420450, 398968986, 332131355, 482025393, 64396413, 265027139, 245740026, 751333179, 734299147, 217942378, 1068617679, 710285192, 828639117, 964395920, 271298067, 816340629, 465665793, 759444027, 137195179, 363659321, 841003, 62523088, 228336950, 770086933, 720447443, 831163329, 1028882974, 926552652, 474029079, 450524948, 979173639, 864630674, 422917339, 510747533, 771540378, 920414197, 451783637, 1049691770, 1041612753, 740057497, 545119840, 950650384, 816708539, 969618942, 619160209, 153631571, 902313077, 783687081, 391789689, 421348807, 316539332, 1021056528, 565977549, 743929921, 409656623, 337652503, 536091279, 428013908, 1053851911, 1006268081, 132620654, 793907551, 246695995, 196747654, 713202258, 214760319, 487259207, 806054547, 855597099, 284389667, 409083351, 95526883, 414246809, 950834973, 956472191, 618853151, 263144404, 802959367, 364454536, 231398476, 513895889, 97318045, 210802555, 142647036, 756487918, 489913290, 900876339, 723856930, 824549745, 939856753, 23872560, 74003122, 564383633, 305695844, 540746561, 991699976, 897843688, 837135936, 86107225, 407158535, 875473812, 755527796, 301272490, 1048713929, 125259061, 824968436, 728996773, 1050881937, 650246029, 600880541, 70874854, 554264296, 108343258, 511933493, 698379770, 327086070, 246613410, 160663564, 301847737, 609867135, 219427915, 377111347, 1061659003, 44108251, 104995186, 990624266, 845838793, 614392391, 24913195, 418368946, 129004650, 576989452, 346760483, 937031343, 235284053, 1029476530, 541261992, 639786239, 473077381, 669289846, 907767648, 384416556, 893570113, 1036987118, 666120622, 379007670, 366892670, 121941431, 766319687, 993936488, 497881942, 792118474, 600470839, 1035280185, 492061744, 161264119, 291689957, 539579913, 852084172, 12323520, 1676996, 763651530, 687058364, 22548251, 28284571, 907472296, 761156550, 23108701, 10145758, 463958064, 345693268, 555458550, 880690294, 550581001, 246253283, 331814522, 768634858, 449280182, 502885704, 441241767, 559400928, 867058723, 428503747, 196251894, 163012544, 707985290, 183982313, 540248080, 828043190, 336934201, 209051624, 577363881, 106720896, 424768266, 112267936, 374026568, 625439026, 989049516, 238339757, 778321086, 490189516, 637095648, 999761244, 541379767, 604686282, 351050251, 231055415, 818024676, 306405096, 317687429, 211205382, 286538428, 822605548, 629467260, 361537895, 650374419, 112228012, 545957353, 367628874, 365025256, 287665372, 682780850, 674876436, 555394589, 537978553, 572970972, 855043997, 1890121, 94013938, 549890975, 412344515, 396187651, 1024713347, 463342229, 293864807, 165381594, 1017557927, 478091749, 648323562, 950536471, 53033090, 840500286, 931435273, 1021222664, 637681871, 687730528, 73886080, 300872022, 360755908, 154226672, 662747883, 947066424, 245641833, 448282737, 321638530, 276316340, 176057543, 285185075, 869004610, 72731321, 348177233, 692328781, 659308138, 1019353182, 136288181, 944346386, 575492502, 1051770929, 890156826, 412497064, 117833686, 564649993, 999964941, 957418646, 412001392, 178638185, 976448357, 1013986525, 916130328, 419311954, 302384402, 1014943208, 275168702, 57135732, 904968855, 99580012, 250978052, 909975990, 201992019, 93008081, 127504216, 191286675, 312802796, 426210851, 623501843, 312999152, 588938646, 627850490, 674411704, 746953750, 903760608, 251935325, 763938276, 121371404, 523167576, 292528221, 1068398390, 819063041, 325895415, 118764053, 11939871, 96624169, 329071542, 452482885, 712155410, 799085910, 626396325, 729984435, 877042671, 796965323, 742897923, 314753825, 370147049, 172524707, 221938766, 922552400, 90998405, 32211565, 890301786, 525898024, 172611858, 425921988, 6051249, 667837431, 219759683, 427520291, 474658582, 200214211, 548989925, 648919960, 711161327, 277314748, 965328894, 823152059, 477133605, 239293335, 605785159, 162318053, 217276009, 9906333, 872252369, 289880414, 1046490814, 440597557, 8333082, 1014252154, 523941406, 63444504, 361435475, 514390137, 77243921, 178051891, 583220203, 383770493, 1014388365, 865495412, 965963457, 126029604, 854084411, 859831697, 306885415, 114292081, 213942698, 85228211, 1062953176, 755188197, 947887416, 962961533, 761498129, 750444271, 540372449, 340335398, 273027858, 179224888, 2915410, 374001768, 86330829, 412506728, 643056156, 175635020, 1017485254, 916518301, 967121878, 338550825, 71857429, 426847260, 993360053, 122804332, 253458302, 95359399, 497090739, 830117762, 980668698, 398878589, 606915209, 797151387, 735657070, 859512709, 783223650, 893640586, 608140143, 988875614, 880289110, 662882044, 14758556, 297495258, 162658526, 332204926, 234336819, 432328615, 421464977, 121347493, 123452969, 166819378, 1033852340, 844544641, 54729261, 454761725, 580491725, 395659727, 5487549, 315189908, 624756898, 222856787, 171786609, 147031420, 494549765, 80808262, 257392338, 414997456, 197866079, 234500689, 483158084, 226294669, 672850875, 484809595, 514378662, 422490406, 911741255, 265491796, 124832538, 245825330, 188944319, 1055401780, 603114990, 1040160752, 444357057, 657015343, 981989449, 618366253, 375541803, 513744436, 499531965, 289796609, 418720011, 339290413, 1030822524, 254065549, 653191527, 223783521, 728304022, 883907663, 44186452, 435228636, 254944635, 327989975, 340673678, 905561151, 1039626630, 518729627, 480282426, 675723106, 284893982, 733123858, 670177558, 958651985, 288666777, 618285826, 221317622, 562369501, 279802896, 1054384901, 330908743, 746042968, 242927720, 296929775, 375095133, 730953017, 178857291, 24400060, 789050890, 591510169, 939535292, 611508530, 684333434, 802365955, 322936636, 5269081, 473113794, 602736296, 229144472, 406020962, 825881292, 868416176, 1006384259, 273625419, 442019119, 648840615, 389818767, 948148858, 654326783, 879409772, 773052483, 725943495, 777756883, 912495580, 185468518, 177079274, 461576375, 663199867, 531525130, 900922179, 292276419, 476392852, 347516461, 491004531, 98794460, 622792883, 393868611, 266437289, 73771544, 468060655, 67713771, 1037957027, 260906591, 990072888, 144453077, 827506801, 823195630, 1021847156, 1016105070, 1049091604, 1041500757, 994385281, 929325486, 142162184, 672926792, 831742225, 488657997, 606381666, 861754907, 131633157, 1039766135, 965840716, 179118992, 607462274, 225164582, 711820721, 673373730, 814036372, 732571883, 244111165, 329465942, 132051428, 715261613, 602240864, 453631419, 746344167, 362051014, 695135996, 115875296, 29432762, 30222725, 285992976, 679612720, 554373759, 834890598, 169533993, 215790044, 1063148007, 264606285, 1024365862, 949043056, 122601761, 824334849, 1042059623, 963034276, 431556245, 611130053, 79515766, 246033998, 856630674, 783988307, 529437578, 623916389, 1065669415, 907203064, 738422371, 272694785, 596963310, 924662349, 375913547, 144171501, 721324378, 709772640, 187357067, 382491909, 686152054, 485183384, 570715344, 39277384, 780315674, 985047909, 1039549987, 432625359, 157692614, 707495371, 821497174, 600489189, 115667721, 364139288, 3660713, 775612054, 794867899, 867135287, 1022021476, 257404711, 667800234, 1064021361, 835121273, 780067566, 580965824, 315066067, 534855036, 447945446, 68764102, 1073292639, 412341975, 330207535, 651915429, 253386284, 299655893, 183390216, 249646864, 413178272, 804844820, 996361152, 371181793, 987679990, 262747902, 87119258, 359871315, 291970729, 805001114, 145141989, 493913964, 732067373, 850714939, 785789989, 207570922, 1013952308, 716706208, 1068174743, 420688436, 152456838, 1006367195, 422609593, 98834082, 1059669620, 835737713, 35454028, 216233403, 202840840, 708830538, 513271932, 601708673, 787225840, 377318937, 793744223, 616718215, 1030260493, 475437889, 126371315, 279856511, 1029213411, 10472732, 307457259, 315308535, 401086553, 259164973, 147793372, 666029414, 504764335, 107678589, 597472508, 1019441223, 858689452, 613551706, 191141284, 743951159, 527038026, 929236103, 338430995, 186903747, 199348979, 536388984, 949930095, 519997422, 898373051, 612073900, 916940380, 416394549, 902755206, 137301289, 631351441, 477203036, 204972008, 682788961, 908619700, 599961400, 60371535, 919194890, 824844450, 208350185, 662765742, 927362850, 420289890, 533157846, 15686432, 488854546, 207577407, 403612645, 740813591, 3819424, 322942416, 389706714, 1054238302, 22315202, 890783698, 1063789811, 934738633, 538858241, 854582324, 314560949, 248723135, 206468798, 103682581, 787920867, 56617606, 947683911, 589021537, 585901561, 781582701, 613129358, 200107597, 381138427, 323334552, 885092478, 920703538, 517683178, 330880092, 605905865, 650687136, 289544509, 619411846, 502494871, 609502877, 325640897, 551128826, 69716950, 289678736, 671950027, 123350906, 241745206, 987165811, 198501426, 519378664, 902493050, 656403620, 31628824, 225294572, 365858636, 163048584, 1049614123, 365393939, 754148614, 28549794, 340166214, 852238934, 777518130, 460254298, 994703380, 201707595, 238394872, 291419588, 536258950, 900459343, 292901103, 309624455, 55408290, 363107465, 80551683, 821957834, 381887596, 921755116, 66771079, 901769906, 299105323, 148147477, 757471062, 173178833, 565211400, 439784239, 221014896, 575707766, 486540204, 106091753, 103413959, 566660181, 792230912, 670662947, 90869600, 536142338, 250676777, 496979097, 513291884, 717311300, 570011037, 935454126, 161656729, 712541343, 505219752, 341070014, 605236072, 981282453, 384003041, 1009323208, 110799352, 586575904, 903623631, 191622802, 85327188, 584049591, 310370517, 803440446, 534312042, 251424174, 599161572, 575648521, 532512475, 1064055292, 946362628, 158299384, 322365168, 312421601, 224175211, 626692997, 685414480, 80383631, 433077481, 648618638, 690559472, 492977112, 85176601, 493407809, 148803354, 161618523, 629075812, 412377374, 358489014, 152664664, 506504364, 630796546, 52214633, 199417621, 856203825, 446598519, 71692774, 1041492694, 894817895, 395634861, 414307064, 591001858, 252965714, 868847552, 864667723, 824878951, 880065016, 35325461, 1012251409, 596505546, 336829938, 481927358, 201932457, 1066669633, 497121908, 918823772, 244773943, 1067140059, 496955001, 293412066, 783523031, 341851666, 850438200, 625196324, 427698748, 856880618, 413935108, 874687306, 71442475, 403915028, 25741775, 297859125, 203495623, 276438441, 49973425, 321776425, 690644050, 655538030, 606903821, 775298896, 583828456, 618207864, 403552688, 863558062, 901238403, 682401045, 500801464, 92285852, 812548422, 480644491, 756266827, 421355868, 231009993, 18776949, 20753785, 485193716, 106117571, 351920619, 332671900, 581913026, 835259786, 1060691085, 125477371, 314570373, 1064041031, 965765911, 548596622, 227622912, 489561004, 170473378, 304749597, 576502341, 341661536, 2908499, 1050007277, 906384670, 228905524, 137014455, 944942428, 180078007, 987277041, 422994255, 670105887, 524704944, 792906716, 479218118, 229894790, 75030831, 379262512, 849259757, 917339916, 331961501, 329068706, 927079324, 858408813, 439672115, 576759494, 329164011, 912745653, 197771862, 726318637, 168952997, 808502729, 552636517, 594065059, 505399689, 451796324, 528907655, 747655414, 141385864, 282671087, 861729456, 814096741, 763138328, 220784827, 449449504, 106884595, 632291542, 1049763207, 260857205, 924659536, 994973605, 863006201, 628738259, 879503281, 670455312, 167216523, 803546757, 270809501, 462428098, 895171604, 660499795, 521914325, 1058385345, 665953880, 1010764584, 512585354, 352304949, 60204134, 444603982, 20890104, 74705178, 1016210913, 340574371, 311459632, 370346865, 406499522, 455293368, 159385364, 869649794, 90882088, 319029988, 938565217, 710675351, 252782354, 600059728, 29021209, 1013436280, 196493222, 834430395, 1025273172, 359666822, 471502840, 696994764, 757494598, 104275631, 133475813, 1055743395, 911218591, 862057202, 552768363, 27533557, 169282309, 144509378, 110072430, 93148252, 257701365, 130067660, 199632627, 319990499, 940556657, 796130617, 810971411, 341863177, 423426043, 913865006, 678526501, 987984170, 964223265, 809194488, 548979411, 699677736, 187229414, 587628287, 570448100, 165067782, 1019973060, 460574396, 765284860, 546899191, 1007144863, 684424114, 542171596, 611305585, 139100770, 36660905, 131841994, 372843314, 470807322, 918104118, 998235420, 446056102, 112458059, 761265735, 209885599, 211521395, 906437667, 939372133, 13053296, 611250938, 283386819, 360574772, 865250886, 1946517, 449784948, 1060137381, 835159042, 914117328, 328406179, 801607604, 653938471, 387212056, 454142712, 1040743057, 631783327, 325303576, 1029356051, 388466235, 241574536, 1023505843, 609025149, 664890942, 424453239, 332919023, 998173629, 610200473, 97543888, 81114511, 313047216, 290512542, 208968046, 1050323419, 366161441, 1036565395, 530733433, 33260621, 1029055838, 675190815, 1036203807, 328573920, 543682315, 214035020, 208753052, 672473375, 699376175, 881720037, 1066512768, 159876044, 554230690, 168689544, 592560264, 257655647, 802637745, 372102691, 744640872, 514821279, 151001582, 430762698, 690209684, 335349836, 786674467, 1055274363, 540796201, 559697374, 692224530, 745002416, 1028034058, 522499209, 449300357, 781744315, 63037154, 657819586, 38866816, 765144076, 937786768, 130823792, 969645558, 272800999, 663185657, 638590557, 695174562, 304773638, 354190188, 945576783, 637845134, 368858387, 27498182, 820109924, 106849597, 878798783, 639947141, 748287815, 835114670, 164113023, 1023054319, 736229948, 524140838, 482898592, 433766863, 826418328, 181084778, 834198859, 636229711, 1045266912, 461250443, 744769805, 257658260, 315809561, 966451378, 876233937, 184072254, 984964893, 386595300, 551709856, 585222408, 977910404, 212046678, 611643677, 60801825, 671068954, 926297997, 236009406, 786525392, 884499633, 828257275, 465043907, 718573308, 546727366, 935121993, 516587711, 123246467, 198741438, 254273718, 76009074, 1061331133, 215341057, 907276262, 429724592, 327912198, 611830562, 570378997, 647640765, 436077096, 817500857, 957182501, 510179111, 440487122, 69847031, 799908694, 206275008, 71776877, 319497021, 377880052, 256671039, 969410591, 327308136, 496477456, 629810289, 799114585, 671623695, 484229158, 848768861, 272338156, 171029163, 960282349, 1065098022, 914462056, 1019563848, 555269261, 1001745018, 568118562, 150820404, 209661583, 125808672, 898259152, 544843052, 296913710, 721608798, 777152866, 711099485, 65762754, 256224474, 488640105, 461080177, 703374589, 57752116, 399207161, 445909203, 211406590, 739463093, 194566068, 576311598, 238276941, 52735425, 568025401, 1008885564, 409646566, 184915172, 186345768, 597289001, 188714659, 877709134, 995917996, 440671519, 442596591, 46765328, 1013958429, 764451771, 403782801, 522848007, 597235723, 924714554, 528199624, 935084440, 723230261, 805922078, 320792313, 208047847, 661970446, 593649634, 635445141, 235988523, 888060520, 654891089, 73679324, 312459765, 181157053, 299001923, 788925826, 654920417, 25137157, 437027002, 393177638, 684566992, 60442619, 981524126, 45457774, 646373077, 957731351, 975878224, 488153934, 300774886, 464964997, 728252322, 600174637, 116260650, 57165149, 556680201, 990504253, 920420021, 18705099, 110449720, 986961003, 1020875881, 789829224, 183399540, 135139268, 653081701, 316692348, 1055261045, 264838568, 1025404080, 335641809, 354742798, 113967406, 496466017, 453878084, 400547696, 802646917, 619265073, 777730846, 464032989, 612324247, 200807537, 473304658, 310133820, 344016254, 749658659, 380839166, 419323119, 603460374, 349635413, 13513791, 595127139, 407060971, 349526643, 100751299, 400970004, 721626168, 713127342, 786239575, 258804966, 139024300, 649975087, 37936327, 981296546, 365796934, 1008002541, 307354019, 360145371, 1018690574, 534536447, 209229822, 1017205610, 397800892, 185841212, 521036581, 839174312, 513510051, 913638536, 522451345, 416637119, 126430119, 590686299, 308010907, 896818921, 955932359, 160267004, 87295314, 421644028, 880095537, 347958694, 75028014, 578097913, 1047574805, 360926422, 726835926, 582760212, 415727790, 1022571483, 186533425, 825951142, 1050239333, 881143392, 713277491, 913343868, 654021387, 539076816, 314739843, 298887519, 768724574, 453623421, 825325961, 251256271, 905736115, 267569237, 802385268, 179635912, 26601493, 466061422, 366602914, 21888686, 531034436, 1059942172, 76506582, 706978801, 837977370, 874879940, 207568477, 807001801, 1052500926, 262879531, 899202684, 470493601, 575799300, 739581914, 573832460, 594513320, 90163749, 334591492, 521715154, 807265998, 675907533, 64576371, 108894219, 475928531, 763844676, 540165333, 281959816, 392173474, 693999596, 16066588, 96502120, 415348521, 198153502, 549486884, 437882283, 436126306, 852735652, 415408141, 204051165, 533012819, 592830245, 132533399, 305186467, 1012834492, 832662194, 1032295613, 249472356, 129918527, 32284077, 182904708, 1028204614, 599067794, 396652294, 147038138, 954528048, 131479707, 601919904, 1045623207, 53755432, 437264863, 57827246, 459514777, 184458933, 228495718, 652584082, 353514523, 767530252, 646126344, 1018609641, 549857999, 112914372, 501780430, 833755343, 513447974, 224344249, 244202481, 106124999, 1050028801, 712657723, 173633752, 256133492, 728916459, 917736868, 127999652, 847788737, 381485181, 461782771, 126372212, 804901319, 935278504, 560108727, 567204034, 28126942, 134029949, 711642949, 502223247, 179781682, 879641002, 826163405, 454226143, 865753442, 360835623, 683117363, 699462137, 389612113, 348076599, 638236240, 70546565, 364857661, 92620057, 566907035, 229937965, 990785908, 641967100, 989190025, 173598459, 952354269, 422309944, 898432077, 205197797, 744099630, 162399950, 182967619, 490480498, 347436856, 153391098, 811431789, 637102053, 490540934, 32190341, 760107566, 709603548, 421487933, 593466474, 159762204, 609951432, 821919888, 779058044, 644734335, 135965342, 342505678, 704429168, 133722175, 254373206, 282896114, 780183785, 868301767, 33472785, 933787090, 402569402, 45480385, 684158838, 70234913, 590776419, 410564535, 893073518, 1003227203, 178721891, 399484078, 876086942, 19251209, 820629375, 754220729, 467072704, 1016991914, 931486694, 4815107, 686415728, 555597166, 910911611, 179771177, 262672229, 869418429, 248597184, 94646654, 46774660, 341512722, 418971177, 629712597, 69605652, 176873586, 1006175794, 295493800, 378258832, 291624514, 923924252, 1028559216, 705006855, 694497883, 997594064, 1012712249, 1001611284, 425975556, 148279452, 1022137537, 493570715, 495873943, 601071611, 1008167104, 414116726, 450798828, 911686693, 617679180, 192190275, 335153011, 539833014, 507641201, 120648829, 859225012, 403070534, 353361429, 128677127, 335126039, 110862603, 934728229, 807596776, 955805024, 573198531, 439053124, 355499128, 1057068057, 601989277, 121139683, 967119828, 851514475, 827105959, 819148677, 271321871, 675921184, 422797845, 185370396, 698907337, 965886877, 934719396, 535659113, 770529263, 390998737, 1040132324, 803306882, 364999428, 186058828, 971437398, 739870129, 619352319, 546281949, 494918797, 269592470, 283482540, 758073226, 198481731, 727017889, 725464082, 799498004, 784177264, 159881487, 422764303, 691047325, 1066906565, 332224009, 810277249, 789005272, 432948511, 450474113, 1030794804, 725501422, 639359693, 402846161, 493199920, 184948096, 438951027, 189344376, 772695317, 947513944, 820414898, 611584491, 293428863, 932285976, 495028287, 556553453, 954331055, 358258476, 43780315, 616956843, 649464102, 712280076, 550195140, 241024517, 287162917, 691881242, 122261111, 794657320, 158444827, 499195433, 153141340, 984593129, 75565318, 547455824, 519348656, 491133961, 540045258, 100918545, 342299425, 217325113, 704077118, 300848213, 990777512, 656382557, 638296072, 568386093, 444953102, 808035570, 331484847, 639307178, 207801479, 390308272, 955121398, 619201240, 628618336, 678929770, 831647781, 1013159594, 405067070, 839965115, 292774068, 739158453, 364430520, 82888480, 206339240, 407329603, 330141072, 657969632, 504854831, 497151077, 405341838, 293007233, 1035369001, 303419209, 450800502, 538762798, 1050989986, 573957741, 37087167, 126209652, 1030881720, 833586601, 120649121, 816147382, 664618708, 709645833, 956243976, 935589521, 606667605, 905067862, 938137293, 1059375855, 700679902, 899743334, 714784745, 35347075, 281501395, 139642955, 699286134, 869196563, 412622206, 77643191, 989132282, 1044070085, 737606988, 700522653, 348603686, 1056834620, 994440767, 715686027, 997350206, 951122592, 440783807, 1016577437, 597911341, 496242581, 216448701, 487747504, 452385875, 193053499, 970346105, 688666303, 1004945547, 403059827, 1050741471, 791715306, 564169028, 233846156, 468476928, 298508982, 518661805, 994043351, 871865390, 896471637, 195438038, 36996182, 453262982, 911094964, 171104725, 554656712, 341906627, 806269964, 447397818, 464565361, 1052436647, 529943747, 367639338, 406853456, 6498156, 76112754, 715000822, 254943111, 398471880, 15213029, 792471764, 256475954, 637646966, 729165355, 967926382, 54545935, 804063142, 485598876, 164935286, 116007661, 533070567, 644847052, 1025441180, 95710542, 776412252, 937427736, 944020693, 396418540, 960389322, 716265308, 1030545114, 244849419, 473336564, 404924468, 578588325, 151730517, 493250545, 555160332, 675351509, 108296186, 1049903618, 519818528, 317599371, 624562859, 1060257238, 778034765, 907968505, 372716660, 820737478, 186354403, 325949165, 548206994, 384181451, 322269492, 551533788, 658139320, 556158131, 387509325, 182669270, 707126524, 508270393, 529426091, 129554567, 124509590, 466341905, 716436629, 491699036, 228676640, 1060863079, 555355207, 957466480, 626403241, 820702430, 917513989, 33871331, 128490611, 975217675, 1012267428, 935160770, 57913721, 972257679, 366582125, 448720534, 27621199, 822696943, 876733826, 89851287, 1059203378, 769799348, 769720573, 559865295, 693484022, 561288218, 330580695, 1047583201, 44069224, 325896131, 960557786, 29363090, 597710844, 427779439, 1676006, 486498332, 753462331, 677602722, 433002868, 821231449, 589312788, 56778049, 811815142, 1050441655, 604751196, 845608946, 202796981, 177155501, 269250864, 1009019503, 745959357, 794285402, 563626995, 232190004, 9622012, 671238877, 1053605010, 875508555, 233759804, 640347334, 37689945, 411285393, 359463426, 969231543, 877280741, 682531753, 961791555, 626824319, 625505282, 261752545, 322098421, 145616353, 59902813, 1054499355, 238765807, 532470582, 191279554, 228236736, 644073798, 381246676, 494509577, 870870562, 949445117, 574264392, 253223106, 286819620, 577976021, 834227664, 19364090, 758489914, 961849247, 578884805, 437281775, 971334502, 1054720938, 1032454198, 176405726, 1034184313, 707304638, 183610503, 999352396, 454477464, 410102833, 623113660, 173656962, 135917811, 559301987, 508185386, 585670435, 838601334, 259004915, 777153381, 959556307, 933894989, 98257814, 223907559, 1011177706, 189885325, 941711687, 829960921, 214976545, 959604342, 374023331, 855078755, 198306710, 314610872, 860783741, 215890814, 426821482, 199350121, 632255453, 423691201, 270396159, 211178924, 755246297, 478247, 992913972, 202425074, 966388970, 78599226, 1069779655, 1038329606, 431640626, 531381641, 897146816, 313370093, 918285557, 807049560, 619294029, 986872050, 656019936, 233100935, 131506183, 787072859, 171236283, 24577548, 448765108, 411696069, 66680641, 253306413, 308730885, 264550890, 339871946, 499001558, 28580928, 613087195, 900693406, 463034832, 241730111, 818029371, 1001660605, 344227548, 896315881, 169117068, 949858562, 487487992, 45496503, 941469533, 55910442, 1061538933, 613962798, 724494580, 762653255, 565327373, 30927999, 106169701, 617911945, 202811758, 651440680, 551989824, 613691854, 536241854, 952124346, 1050293505, 286549409, 399381479, 801875310, 431376875, 281436173, 19605083, 921592735, 159457295, 648468159, 702850909, 679193917, 204273157, 893874676, 61457116, 589270235, 498480111, 71876321, 869272187, 136969731, 130394602, 330647461, 382294949, 457292092, 406155055, 298339108, 1012226557, 633048970, 956916660, 742370114, 796630322, 902433691, 47426286, 676989371, 79743648, 693210433, 267573066, 889986085, 332770676, 748427649, 1039894051, 466821214, 756563029, 918073405, 522524707, 958926380, 394736073, 293227732, 770590870, 158697327, 593756947, 1009243233, 1019774298, 1023586393, 713242025, 145984028, 833339201, 12543975, 299913421, 80162197, 425704776, 145000436, 148886046, 533131695, 34205143, 1047973977, 134844885, 653468430, 410361195, 828306669, 748393197, 421754730, 836331775, 1047702725, 400785871, 240790993, 358587047, 977337069, 268008303, 39121060, 882118169, 735592587, 710953157, 926521690, 288562476, 924573977, 648474015, 774065920, 455841058, 1011231301, 355975717, 528456602, 124206781, 469467752, 987759097, 292454757, 598894496, 33197138, 583550320, 830627337, 137466968, 393090153, 15614694, 53390041, 749462282, 11250552, 174460952, 712231043, 411697225, 590502663, 612935493, 362637652, 931872392, 8949404, 899802049, 78176344, 993978949, 732913148, 309399567, 59545115, 369199363, 982425459, 307902052, 312690969, 991867219, 96140958, 441723834, 340066263, 57366821, 721636208, 438625493, 127206147, 573877546, 1044925464, 187885549, 296108941, 675926751, 44794135, 302929095, 837670446, 80133113, 378500309, 636886073, 585383129, 656225276, 900945653, 771775706, 234413243, 928075169, 869914601, 108037262, 612578965, 1071989813, 74391391, 838162651, 581038442, 38953835, 778366656, 636068541, 291419721, 412731904, 955514469, 104836350, 517109275, 409383494, 181624858, 157319180, 478628000, 495759942, 798492591, 306893154, 349912821, 527282026, 369351750, 789917658, 985498293, 498864546, 65530543, 649498875, 286760422, 121895946, 319278985, 862133640, 32245278, 299446985, 403892610, 78951430, 413291508, 711282445, 750525382, 599474918, 925429690, 392549741, 471455658, 561431613, 766223935, 318034677, 480163599, 347603118, 624669284, 87338325, 492319355, 569192003, 942924046, 853315707, 221258012, 883382264, 649126398, 760860680, 1029604122, 924903814, 733735594, 326878143, 526514145, 2799424, 124879075, 1057230962, 169719628, 992337200, 799735635, 548495028, 625680486, 726865408, 515210947, 491890663, 592070866, 6329214, 754242367, 396038075, 710198126, 540535199, 539160320, 209426603, 159249893, 993414598, 502631960, 205527976, 449410716, 960396914, 206104157, 159164356, 743246673, 345455064, 711623219, 569172914, 442137514, 682818631, 297246329, 496335236, 365190522, 374094813, 684692189, 320135957, 387006091, 503735741, 17584679, 258201869, 80061037, 636964172, 4628439, 35442983, 697734675, 18082529, 185812543, 350520310, 537379268, 732531808, 80009956, 711493095, 276204990, 292243873, 855438937, 393095143, 207871707, 798091134, 536205417, 708046815, 997272053, 552662029, 906937300, 125365224, 685497008, 734202971, 942613566, 209163125, 78493169, 206269814, 187185694, 502123932, 552117085, 608816914, 373181849, 985492465, 143748667, 431336046, 1058428146, 278369029, 101941503, 593708146, 341805648, 15406448, 577273218, 915063098, 598099555, 168730483, 784625734, 745586157, 30805942, 135228413, 880128388, 872145758, 744513675, 47921937, 469157590, 436800584, 882771555, 356620621, 740054958, 1054012483, 516436114, 568986783, 727947215, 20729580, 833845228, 193691375, 867691450, 445118161, 194220030, 835401626, 50063910, 687960313, 750271222, 1040278591, 20716785, 781419310, 19734880, 96361278, 912723125, 285173909, 232200045, 464328474, 406424506, 791429126, 840959578, 870083741, 43340461, 520149644, 13018987, 346457492, 273795429, 460395889, 453079600, 204325055, 474982403, 548289878, 680118579, 533310747, 775084157, 711630927, 157277198, 186307544, 1046259148, 759985174, 325829633, 463388948, 805949049, 41363620, 928135588, 753182258, 134499007, 1060464967, 510668171, 923078277, 589910538, 607386103, 378132271, 663190034, 6516377, 1071474611, 290326229, 153657522, 1072939954, 557701105, 31193573, 195443164, 259177435, 959985076, 466420160, 110841728, 85495472, 758672105, 786883480, 552476802, 680103943, 979412991, 275415110, 419145745, 23067555, 1034020692, 18852894, 112600675, 220467980, 892775047, 970868556, 600154849, 741726354, 509307956, 513823126, 620559126, 353919771, 859689323, 864797584, 15434170, 456470340, 217382092, 571088899, 187008381, 199448607, 1061860962, 778366305, 354768863, 765338590, 285235947, 750457597, 801261038, 30737458, 659217118, 74521962, 930663745, 1042992445, 276965205, 115821675, 947685862, 159079384, 459721327, 760404020, 408104659, 192782612, 46417804, 575135385, 494770545, 863346137, 381464587, 261020239, 508879090, 713035074, 390074608, 812129874, 750011061, 94767797, 666512305, 825268224, 90933052, 471743903, 110525359, 492689909, 712779781, 604753936, 583993545, 148388164, 542868152, 733321584, 836064362, 675968934, 12060101, 990065839, 84062789, 622471866, 1013796866, 677740598, 534813722, 487004390, 882594671, 577642400, 849782296, 347076612, 572558904, 95714541, 917420978, 821980518, 197343830, 609992213, 1066219389, 606600696, 602486993, 1054396261, 936356462, 69469499, 167007485, 218199096, 813301829, 18549691, 695739993, 510649298, 704483742, 556896342, 434587686, 194006316, 1068650564, 384646649, 806121200, 347733673, 582068425, 911307747, 165073980, 383535374, 485291620, 84206379, 991211196, 896096040, 681178171, 774400938, 184392936, 703016902, 412116305, 890519844, 355990573, 266511846, 519443052, 862786312, 968530062, 370426982, 909163204, 87977075, 247888706, 264242610, 393209181, 516209432, 770063800, 576540469, 447930924, 923087724, 298234842, 455029471, 953304549, 264099788, 68858148, 117433866, 37228665, 1005325359, 20068991, 881960319, 37440880, 637211997, 268600115, 1033239690, 698960271, 137762732, 873862884, 189469168, 357900711, 165983643, 502614250, 199518132, 699521363, 925035208, 573805006, 372274357, 514975471, 1068466701, 110473815, 703746501, 676698535, 643464517, 384255135, 291732433, 523161667, 1027958387, 1060703255, 50850095, 844796430, 1033844096, 811380549, 1022157612, 639739119, 62229623, 1025282520, 486399339, 438982653, 382478400, 53118129, 152481436, 681051057, 653618280, 798200155, 411456136, 188865474, 752812613, 173578042, 656145495, 393354989, 668205366, 320522925, 1022600338, 99415961, 783386200, 369217457, 1403889, 468562908, 218811475, 391905673, 347353692, 839316548, 27622249, 975200353, 748925257, 618547683, 1059481234, 248643064, 1069502925, 685096712, 1022945853, 1023101334, 163444549, 259947476, 871225883, 612168972, 117546002, 37873138, 803182552, 592094507, 1006059702, 103574132, 9960284, 382865884, 452223561, 142820674, 874727678, 119011957, 825799853, 175251400, 880186650, 632062361, 1010171688, 799521531, 795829278, 152386941, 541940807, 687270889, 319219737, 325634193, 259214950, 808349468, 196591767, 195257420, 970598450, 741788296, 155236997, 437254900, 285381966, 511307822, 467644989, 837963354, 289924163, 878454427, 398137073, 490467066, 453131778, 415376168, 964008961, 501316900, 76144004, 999958488, 51871805, 265263176, 246475826, 734157530, 614575887, 308923110, 699718326, 575696273, 340795683, 697312866, 864711155, 290563380, 387932647, 234714428, 42809671, 578150440, 241426377, 716788467, 852165474, 473962647, 286975436, 920125631, 400790319, 413676234, 534290999, 584787680, 264430691, 640434588, 345252027, 783206500, 373507548, 429272671, 489951713, 355484739, 288917695, 266815903, 294934663, 571271641, 1027130251, 154554735, 307359512, 940122001, 509253562, 109902224, 1014025444, 1071785087, 837250340, 246776313, 362379588, 692547175, 421168740, 1000187123, 638983516, 346890194, 37106549, 451276136, 140430267, 315303972, 850735570, 217294127, 283836171, 855728085, 770785669, 402454366, 307917287, 741546097, 575298840, 9554627, 407790064, 683425085, 313125446, 949742977, 1012519484, 1030296087, 1040719831, 20838484, 864082075, 91892706, 930470942, 6830275, 14965037, 1038185481, 812579323, 772337392, 582234703, 495719929, 604341804, 138432574, 440846754, 859834373, 889401079, 270625678, 185786760, 659629056, 985876583, 612170510, 1022734158, 364053940, 936656032, 1045635777, 708954680, 1026506325, 167403747, 134342041, 791683584, 389187662, 707661526] 2830)," 1073741823 (minOrAfterOperations [561899403, 446769935, 445347738, 526821394, 159473550, 893329741, 370495610, 636918545, 680661225, 64710305, 879808134, 393751123, 714379067, 973823054, 1070662144, 690774625, 232047947, 811697446, 660278907, 461570285, 601583867, 608685537, 813724549, 719567941, 793155929, 736071879, 588391400, 836106977, 355503708, 587279800, 441602152, 65024871, 654870749, 559450009, 45162210, 1062489496, 964565307, 732590090, 315025718, 412592241, 491136562, 56593735, 877052184, 538108926, 961248658, 923769505, 723272697, 540473088, 995558192, 701290204, 470802822, 559912911, 292050936, 482337831, 636939491, 468999704, 160628081, 756303626, 334062939, 348333623, 447733028, 731168903, 781065420, 527220414, 71442406, 548928936, 914486336, 666716824, 100986831, 33504938, 956814806, 1066182448, 47447118, 61868777, 167719176, 630818411, 93661482, 665362665, 598048521, 536189372, 544327942, 610350492, 427394825, 1025946136, 159961364, 955656675, 463042744, 631747217, 479768020, 269131463, 886118405, 126691247, 177351013, 430343888, 231331746, 613721246, 192078325, 223021760, 875006684, 528685836, 273783403, 1046103710, 363728706, 266934724, 370602361, 285858478, 897522034, 145700975, 967162050, 129537078, 688325610, 228086553, 304358730, 267725652, 348426115, 792642173, 240955238, 247256989, 1020482107, 905140380, 736579709, 357062547, 888278110, 258312226, 941393128, 891655172, 554528239, 997434806, 836645764, 509860986, 854883932, 487540684, 760827796, 318838473, 965266988, 130441684, 1005285476, 357692721, 824351692, 480602892, 1042679523, 729216269, 175200529, 978741828, 930608520, 778460364, 416556819, 850868732, 374271984, 1030793295, 362800447, 760426758, 283586147, 676912742, 982984612, 517712343, 41392501, 232116703, 943026933, 1060830112, 239469447, 1016339916, 20080797, 463379872, 937854755, 1062022827, 315234487, 400345463, 1071570448, 264031621, 999248577, 839677474, 897297484, 252161387, 387261886, 223377129, 434536991, 349117165, 112985061, 11586296, 872445184, 159896372, 202917954, 6653952, 221014531, 1033998391, 84442649, 777450285, 47667260, 976353259, 205590826, 457748745, 864910584, 562214675, 159496512, 599572947, 595616810, 25199110, 908583819, 683644639, 706345307, 944764264, 105660142, 1043720936, 821299857, 126928143, 256535631, 583064909, 525968866, 352047352, 325845536, 446727483, 313950729, 598848699, 251558094, 737094827, 740862912, 660275177, 409728043, 1022291712, 62787236, 793860456, 66044711, 172357256, 591316576, 210208973, 173865613, 486989736, 603324239, 665429556, 404848662, 875249449, 786996604, 199397429, 1054274161, 137889381, 142368501, 716266273, 803980296, 533183364, 499141079, 385678357, 568616645, 279264611, 344989850, 511745012, 590362112, 447076055, 55314435, 809342392, 645269151, 78311715, 860925720, 179452953, 487281360, 241709136, 839229904, 494310396, 71643160, 839718797, 254414049, 506730100, 894575460, 161961505, 819617870, 893932132, 40989959, 228284450, 435648186, 663475253, 277182097, 318774696, 623506272, 70360235, 1020973508, 550853368, 725673053, 162565641, 597741361, 407885808, 932312605, 538550487, 410968365, 467979994, 682372022, 42324527, 979735447, 825724794, 728939629, 312561122, 768108589, 690957083, 655120026, 148986212, 247735010, 841306598, 534685285, 54069419, 832483892, 969153808, 741237561, 202214685, 33176233, 138844308, 173187579, 707552925, 844541328, 91661073, 798490123, 688444256, 824022639, 217817380, 98235893, 753610878, 151374091, 435875617, 822889410, 107932043, 152381575, 402337381, 116244351, 726297854, 335309913, 359272777, 465932350, 11779909, 1037931747, 764123505, 790612566, 453915236, 138848278, 1011289031, 232461123, 705099324, 255360323, 510493704, 869163728, 117746327, 372406176, 884588946, 922835708, 276141330, 246348997, 258001101, 427112633, 826151424, 894190270, 967574880, 768236713, 330725428, 515810015, 643673054, 888989829, 729691810, 1049722182, 138303439, 579091606, 885613454, 550666044, 878582799, 504513654, 774212672, 138456010, 533567993, 553281975, 197449736, 520112150, 1053906666, 764302587, 567757151, 881305963, 1002656957, 594525342, 145745379, 309141185, 544905166, 1028621140, 514442092, 869609105, 994528947, 935255561, 822020162, 275860138, 81232114, 111975739, 578951244, 391750423, 1064561694, 60078546, 121872733, 132690151, 916382, 952515654, 848827949, 943471195, 329174788, 61623749, 83505018, 132225053, 91241365, 242357945, 404364501, 333034421, 993824062, 542784817, 1018470956, 368054624, 285199438, 376321376, 958024727, 869420468, 678050555, 116310929, 472215956, 314199760, 1060991029, 868829317, 1000549384, 603407699, 608000790, 256233533, 91429353, 444142402, 949197672, 505872601, 417284506, 761214406, 853423935, 676367786, 413004949, 1053641603, 38113286, 821178566, 151110917, 165525995, 871897699, 29128577, 471381286, 838201347, 336159732, 978193020, 1018555571, 890924902, 242540934, 170694724, 494228995, 807969528, 390565731, 845060377, 127365826, 955260908, 423258663, 1063830320, 589111175, 342560241, 531254453, 1065698796, 285313040, 489286767, 381751214, 298137249, 877744132, 524125846, 776534180, 198632101, 102348445, 814900826, 239959466, 697288288, 862741152, 888897795, 1033225630, 511915371, 854709388, 403422869, 1073471074, 163221739, 981218679, 66138386, 197808615, 1004393963, 139674994, 318692068, 393459098, 973667642, 578861969, 297654841, 224386617, 587588893, 1069203873, 882022737, 839593830, 785643400, 109812811, 829099984, 628790850, 529947820, 301226981, 918516960, 615411745, 52762737, 983770218, 24239990, 538581397, 34904062, 699004530, 456601218, 648405867, 494120504, 976602159, 1028227200, 613000341, 75530039, 674218260, 644999815, 413704405, 329082923, 250194085, 296075937, 5488470, 924273293, 337983974, 420649800, 973748212, 440354251, 796296767, 295412613, 854217941, 694513167, 805231777, 708293601, 293243828, 300927735, 923319497, 771100577, 356940558, 943482768, 808191400, 185151805, 891198830, 165393581, 1041033709, 643260927, 830959043, 655644059, 860517796, 1026681631, 318785537, 687743446, 180785965, 643765277, 930229942, 641447774, 959771898, 92769388, 1008553498, 422077088, 132545172, 214936643, 901971583, 1009845788, 25065594, 196768820, 581244587, 59628887, 614359066, 1046476790, 278774821, 202043656, 707951849, 1064101034, 987991381, 343621861, 879487446, 183413135, 1057298471, 543511504, 490659212, 117208050, 869101750, 159552432, 715538509, 402398364, 755036152, 437040938, 108968695, 971082201, 957614399, 836593107, 504930332, 129712144, 1001647255, 17193170, 530170372, 656293894, 522390060, 470852379, 982964843, 974798794, 39332213, 718575071, 474706602, 1037807783, 910855069, 94357138, 494348189, 430330836, 343317156, 273613264, 58882160, 209001502, 507333911, 248068990, 432889894, 553978168, 1056209393, 401704425, 713221539, 562736379, 283425472, 609320617, 101965632, 391162630, 926055733, 1066841834, 203952291, 194960427, 908611352, 317691926, 306013214, 51143118, 567291991, 518008234, 688367863, 546366309, 797376706, 916467082, 28211358, 980076799, 158911012, 673121600, 833143011, 60290143, 319945837, 913040789, 787457424, 98266551, 291982639, 548929495, 114090556, 665151459, 662189872, 578095322, 266321748, 112563383, 776334819, 841876062, 63212038, 679085230, 923971253, 744834649, 728810387, 920034662, 1059048626, 64905123, 339668083, 514524839, 827416695, 65176778, 529097241, 624648259, 9371011, 313060544, 390847571, 997078619, 710491741, 1070008327, 10401354, 163593456, 917603768, 657744096, 178281325, 345731995, 628742286, 1041860449, 709009423, 898582639, 923072673, 305715817, 664290968, 279370930, 417991421, 831316939, 822076535, 680266753, 820070999, 11400689, 713846812, 516716061, 58965426, 626812192, 160563666, 252860723, 405355188, 481124033, 232244193, 501219535, 792888276, 865094687, 98134877, 343169471, 266197786, 757098275, 477181720, 705103905, 693416734, 1064692537, 801663279, 32937861, 384728326, 915458804, 666451701, 474178545, 753995541, 127557178, 747257351, 341216276, 513306798, 270911627, 181389237, 22091068, 2924466, 82905909, 763628276, 1019177548, 820377097, 285772978, 346584670, 81764845, 765649447, 936759305, 305667842, 240681883, 81224263, 153502928, 117189984, 142640449, 322627305, 998781849, 710421691, 442214485, 308299203, 729692122, 756199705, 491303387, 683951501, 382688700, 635783557, 649796025, 912527793, 59930935, 247805232, 639915046, 940591421, 137991113, 257563942, 658512907, 141553523, 60180443, 9160272, 216138424, 84598201, 552817222, 822934477, 100081986, 452414901, 970485968, 540421558, 591605108, 475900765, 619070437, 695818429, 293512238, 541232394, 903031766, 724759848, 139971951, 451924890, 131532151, 972121441, 212460889, 878749894, 511908038, 522484545, 262820073, 799383461, 295176290, 830507198, 578597197, 531995765, 149236703, 667164, 366553145, 188780601, 129652283, 134946225, 471442941, 869690132, 390888124, 686407491, 7213664, 83354365, 947507029, 404585821, 894718430, 992150796, 305968010, 41863874, 1003022608, 909105061, 1007462559, 229382513, 317862002, 914114411, 100792980, 326662068, 28245842, 981940983, 260311798, 865375313, 61336084, 69172458, 649568367, 421837796, 922541881, 831614025, 820883851, 357740018, 898004320, 293376810, 651656983, 216443955, 498998181, 722732380, 277617605, 265280897, 776238849, 677442369, 418828787, 870134869, 944929044, 248161056, 853135419, 694294322, 439963245, 368929022, 704309090, 694907752, 623241949, 421813646, 313979965, 922108590, 931278697, 10821420, 439195777, 404287699, 900813594, 159418285, 408248676, 39110842, 781604949, 533195103, 543432391, 499928144, 999577750, 299824617, 319914086, 299692081, 405657700, 1065915606, 22544478, 40426201, 557066593, 469541520, 141665605, 656094626, 436231335, 328057112, 424281319, 597691694, 597698719, 31823913, 390374963, 184096842, 96994739, 783539352, 521055396, 169342596, 617912959, 650649062, 771819535, 158749823, 277829836, 984186070, 886452114, 185489402, 228758462, 961716667, 883157465, 635590308, 539213727, 987370696, 176700159, 151405718, 531364949, 1014186269, 4608581, 1028673126, 585897730, 802213178, 272606551, 287376269, 212362580, 1040439206, 1041421035, 254391045, 890138662, 421308516, 959156327, 408663037, 335611679, 598683814, 31784017, 963283773, 800471991, 933803878, 791650566, 973170801, 181826695, 129171525, 840352012, 80317094, 173782520, 217864613, 894429543, 549211372, 162643305, 765471441, 764122728, 158459930, 940788718, 259643181, 373282676, 870721533, 750056384, 518644405, 510979216, 356829852, 618584207, 386860024, 292424641, 461203710, 836766535, 974969624, 786925718, 543952396, 488287144, 991130866, 290641970, 1022418105, 240733048, 754419629, 795457354, 390545473, 58069628, 603337703, 668826680, 119496186, 728139201, 868725853, 369759719, 483707250, 413936908, 929352432, 964740873, 640301651, 1069671818, 247034825, 674029071, 356515523, 502366578, 347041282, 161094222, 969148409, 730947935, 1054102951, 965684547, 804637954, 830788198, 172137569, 434688430, 101652302, 641770090, 825833470, 950849948, 601490130, 22495775, 866567765, 522186273, 670134013, 829156790, 101432454, 677510341, 895143409, 821883249, 159776925, 293263794, 708610774, 415459896, 462581826, 717144220, 232973751, 387231519, 1013347524, 44544277, 331417785, 342376373, 11916190, 380814140, 891335223, 266031590, 712186267, 603480226, 984238052, 444648489, 808633353, 398805570, 315013944, 1050462629, 638868407, 775199301, 332230578, 501198191, 772218089, 228975542, 233162491, 734937320, 196375451, 120740750, 736554774, 1031556448, 977666579, 207587218, 486878291, 444293229, 118639782, 127429237, 393255519, 2726573, 610238508, 41551454, 549426619, 922609654, 464821751, 590956681, 754609136, 598923959, 798186612, 766488300, 329637727, 562632104, 770566755, 4440138, 933469590, 730810796, 113940424, 758612505, 700346661, 989219875, 1002832711, 641961563, 389288771, 164246000, 339991553, 462309813, 887975814, 66576940, 318328095, 456332771, 842559230, 1040160392, 542719600, 475879177, 729707382, 999763376, 89879429, 488309641, 9434160, 741106387, 722848541, 967939420, 991651958, 528584790, 162257156, 227800541, 990098045, 88748622, 183125323, 422957707, 565230868, 99083166, 978791425, 474582163, 23973745, 4177842, 691582087, 71729381, 643330403, 975501061, 339401744, 75769768, 383411430, 197556833, 1051996809, 48344626, 360388892, 827232762, 909341371, 385086411, 668136348, 251716679, 830528313, 316224396, 1019885311, 691554504, 561995647, 842862276, 555426629, 382605284, 575391986, 806008550, 320741870, 329373104, 340062779, 590173012, 66877337, 801120766, 406303805, 912957013, 694232813, 485069537, 134398041, 400788445, 358818537, 126100581, 480773800, 265891815, 292874296, 528585572, 840124682, 971767061, 184023478, 16754736, 1032036667, 776516274, 436282136, 154725169, 76873473, 212156715, 269916910, 928926512, 773472319, 686178150, 309235034, 687496457, 909952295, 164654704, 1000676474, 513094000, 407116059, 587356253, 994178945, 1060293397, 97557372, 574703807, 677352942, 147120124, 646333837, 925353675, 273910396, 782365088, 963390574, 459469153, 118948441, 881952465, 69923944, 387641492, 519533597, 1026420599, 81898009, 1012723000, 420839289, 820372505, 922735585, 862396791, 606438053, 377241735, 774473867, 522399788, 830920157, 181423518, 75415751, 58656800, 253064908, 920161331, 298133290, 947950448, 225218998, 391855104, 379192577, 564478247, 173217136, 43273753, 699719658, 316791602, 883779982, 674270858, 402151016, 804542778, 7300378, 114740532, 802310140, 568989102, 864729437, 331069896, 149120263, 740533755, 735353773, 26378776, 680571827, 328749645, 949899523, 645369584, 194960127, 524788259, 216973285, 124146966, 162988858, 700793028, 894088345, 180242124, 741090797, 858646453, 51866950, 488421934, 914228665, 838934126, 604088460, 703751705, 631467366, 177266544, 987510429, 813555373, 1023211697, 1042784620, 654354690, 17922851, 158326159, 170972089, 150047436, 256413402, 307651840, 984773102, 45572016, 1011041243, 250547648, 859715184, 894386566, 488081148, 391253536, 981843894, 220933734, 937480361, 200506062, 507226368, 260513957, 79930546, 335930565, 963711236, 43899639, 421030288, 338044672, 1025736185, 786970483, 768744069, 1063258496, 955200905, 913101870, 669768657, 525532223, 581054707, 348797606, 727216236, 1265133, 211632906, 228924392, 510883903, 314723260, 78292817, 887761958, 76600733, 48903695, 664205792, 927297855, 449678926, 615150932, 1009987796, 426702034, 647717835, 903036049, 79642275, 683645494, 753048707, 287313423, 676592886, 799931027, 811506595, 238796801, 730867693, 203729079, 381792054, 654353057, 19265435, 842963684, 766178424, 535437002, 303957676, 954257547, 882189799, 475796926, 640209825, 868834243, 300677764, 1044044078, 1009395569, 390431402, 378275151, 524073486, 241648174, 166340401, 608327842, 359882936, 459354846, 125247607, 980239366, 458620404, 144397679, 248241742, 1069796812, 294371130, 661516970, 95264789, 770613174, 221663024, 825033424, 798218326, 986340319, 850411783, 140925394, 792684945, 522197611, 868294169, 994859594, 404549048, 170442712, 888332843, 630832327, 91096948, 35076976, 496890142, 815255138, 854415848, 367320929, 899636106, 259579224, 322463119, 500333465, 906820933, 488753477, 937569685, 459019204, 851857722, 890005198, 120629400, 506168142, 561503732, 832846544, 907328331, 1059945133, 433698238, 965662932, 336224687, 596846924, 168518092, 25287183, 520267884, 693923950, 1020909672, 747166167, 191142307, 712196450, 116501524, 747497986, 427631469, 739486692, 801161485, 622324404, 331289869, 934368944, 641610051, 518683503, 483143194, 755847875, 780031354, 67187419, 718241721, 905815957, 1039176853, 330573107, 83211863, 570999014, 312744316, 704858207, 616003047, 785149792, 802291003, 58975654, 796280691, 122653742, 739974833, 687169661, 613663303, 273293465, 629635904, 36293235, 297450316, 438126233, 1037848792, 754955246, 204322288, 979693892, 247897063, 868107948, 951154552, 708582065, 544574412, 647152305, 945967419, 137209286, 1049518587, 901659921, 167203009, 577888923, 494895111, 391743221, 134989736, 1017325871, 25900088, 849533595, 828555510, 14478476, 927889905, 947279058, 508009343, 724347660, 365544464, 455547521, 347349859, 940840724, 1072856751, 888059327, 346938095, 431366370, 344239301, 605733280, 658973266, 1007354565, 719736832, 445001830, 818763922, 185319142, 816337790, 398395273, 119625359, 271237765, 256466251, 384692033, 593174906, 633838151, 580861411, 58345914, 205089393, 1061952663, 477426895, 681059429, 337137564, 372462049, 850940464, 986912913, 417709830, 236791162, 658606195, 698643955, 356996252, 702146539, 658356265, 680608124, 171621143, 961942347, 782561302, 562305487, 363947978, 429086098, 534908131, 542903897, 349076735, 263989530, 132905117, 992607416, 473102662, 815920725, 407841266, 371853855, 751022717, 523119078, 197310031, 346534280, 74657127, 914250795, 1031755894, 112222184, 749919502, 38280307, 238379544, 321338361, 726694188, 850611808, 745018542, 855256125, 927968903, 250487475, 445371026, 704075376, 495826383, 580344864, 596950546, 192583221, 975132973, 358485240, 442199282, 550744143, 831887817, 247128381, 1007184534, 370121004, 977928184, 552209559, 827692331, 891048032, 957459817, 348993370, 343952698, 647785827, 656225971, 518152874, 1049045807, 1040018814, 1002284857, 733370575, 943058467, 506601170, 64744174, 1009851006, 238054963, 304442520, 902387217, 631522680, 494017055, 588105230, 79079111, 98747856, 1066604196, 299093503, 133163090, 1007669030, 346941737, 887646834, 782909816, 1016513259, 963488903, 924491181, 585738473, 267174332, 449461628, 293873674, 853844552, 197338714, 45342510, 238412210, 64064718, 387518381, 828278338, 230519750, 228812889, 215369983, 268231103, 804508521, 1026792838, 988107716, 689334530, 664894995, 198448759, 878758402, 377000804, 192653714, 458611046, 560679620, 160212529, 556964898, 102113373, 465449283, 369918524, 409057128, 114765900, 531859396, 221034878, 741725072, 274090755, 970195357, 850633375, 810114971, 487155245, 519653477, 656032531, 177061049, 323457496, 57473017, 554530857, 469413632, 886941715, 35701031, 530933858, 10085791, 617119894, 904233668, 360262562, 659475529, 183748660, 803505600, 970786294, 908857375, 452796772, 69250782, 191688299, 391548896, 944670082, 223891867, 2407870, 139839593, 190837420, 34261988, 752163907, 447988395, 773099279, 227992773, 616622061, 20363316, 807103736, 112986324, 326309960, 1003583612, 754239278, 1002913340, 175342708, 112050773, 326076909, 226619705, 893030295, 750392974, 1037648814, 790662405, 1043206080, 692557936, 163403304, 942270898, 223218305, 1068429420, 1048535976, 287950992, 344090145, 518611278, 768663379, 1039566235, 319222487, 584695241, 516092003, 211405984, 330044146, 569345037, 751193510, 799031185, 47378360, 515180085, 889051353, 625824240, 579260395, 348425745, 1022999198, 22105349, 287739332, 470120060, 945621665, 1035082399, 924821933, 484648722, 658737976, 447651079, 908339841, 262533503, 994159133, 828103147, 747794185, 757811059, 286662401, 955855888, 947384647, 623108891, 100685292, 966624139, 620830734, 295516403, 10242783, 876283723, 1039176425, 875731985, 681774303, 403179658, 588407466, 574776917, 777557931, 260624802, 412263822, 1072717395, 323720301, 544651776, 175527435, 834295275, 692958428, 739164205, 1045089519, 977714426, 795706362, 202820838, 846741708, 655344024, 60803660, 150400168, 994529655, 497108797, 1036690261, 785903106, 451070995, 539682823, 47631477, 1007096231, 1060457881, 770239022, 847453442, 547376215, 311406815, 31132366, 1014369779, 83820012, 543996883, 406802100, 523849058, 13992374, 86371016, 185110484, 826488153, 218079215, 1012451123, 496116504, 312888253, 60645318, 687487302, 948321653, 523788032, 693272868, 5942006, 323172949, 544680799, 407765510, 368970065, 918422172, 130248652, 539367590, 80268122, 564637740, 815573754, 32135516, 626877639, 120311747, 703998515, 681620319, 976850773, 950423667, 726686427, 88851978, 541645182, 1042477070, 741371192, 678257463, 671222746, 189976398, 221609772, 208374539, 127008261, 387586958, 636510008, 810698186, 55144035, 841660741, 810919728, 762789145, 1072012360, 681525832, 791665315, 372746339, 197862085, 1006897035, 703887568, 1030187235, 252953274, 142892470, 448029658, 657576525, 848877775, 443711283, 951563298, 915600745, 873593788, 448002743, 227946095, 1031885567, 507258826, 1031178764, 10563503, 507507394, 1004347724, 735507219, 316488348, 900631639, 605302986, 220684517, 96800067, 920077085, 218138684, 39986986, 170579726, 774695809, 41355918, 576439587, 19022986, 85002311, 737061781, 320732221, 748676229, 676417325, 892169081, 825060560, 84182639, 999899280, 325544977, 859879066, 1071950414, 91888153, 976693230, 449953705, 281068071, 222438170, 323688033, 508252081, 961325034, 334884755, 552724251, 51994028, 383525770, 538766251, 381886484, 653222826, 435062696, 655099363, 249641065, 149443055, 922851863, 713779264, 147419814, 883451501, 422487300, 164057532, 782018293, 453891949, 30788291, 307619484, 48483312, 899064950, 730108319, 13048937, 761764997, 734191545, 131919859, 46121787, 765887632, 708916543, 894042874, 257491929, 779014106, 592698434, 794889520, 224986286, 261074203, 97433631, 890184015, 330282497, 749622513, 794105592, 1002938071, 394587016, 9414638, 128494928, 446357874, 836760273, 889190400, 234511108, 953420923, 9261281, 737821702, 7626653, 192681246, 246303500, 478429387, 982793347, 195696596, 355531278, 475606223, 646233749, 119931004, 524304133, 479932031, 725050671, 103417122, 306091941, 233148206, 819190319, 749612852, 535092277, 948214305, 184370395, 751231365, 778786008, 154322824, 321919572, 872406269, 461919134, 951474211, 866544689, 385185035, 761611441, 560652707, 1004766328, 171952207, 486685776, 575266750, 451138726, 328883416, 740544034, 777546932, 968268814, 1042637405, 953129289, 917870484, 878569684, 294587050, 196742045, 693166880, 106023749, 463760073, 482781034, 917475338, 1011571451, 764036993, 300452066, 990584189, 787510385, 932024878, 140882495, 222726624, 873330802, 1072844391, 96272947, 824151880, 783563554, 150066895, 501320277, 471071973, 670123361, 399652346, 282303449, 835664455, 244295105, 450121229, 1029782776, 2802344, 908721959, 970341022, 138331239, 553427241, 326896247, 129259386, 39735665, 667186182, 562311534, 7341679, 284646489, 735871980, 704863622, 858855616, 580582994, 156084404, 597496601, 9858061, 426614600, 188132738, 1017246593, 595904292, 761146316, 790396646, 86323610, 761406328, 818059108, 735873539, 173543119, 668230834, 899648333, 783605863, 265698821, 144871247, 912853822, 559004858, 46381899, 1050875616, 532828513, 468596776, 332178659, 723225474, 310502443, 467243308, 1066283542, 514209648, 621051547, 135681982, 49652142, 798013145, 66665505, 840190936, 937748880, 917564120, 331579727, 983926449, 1006500609, 294497991, 880261943, 269484990, 56922971, 808269694, 187371818, 973571015, 510564921, 15643006, 679227210, 717307192, 290032219, 824415836, 350236861, 704126618, 714411498, 558273742, 1014027812, 374365988, 10336987, 126978709, 679772821, 732108293, 327950239, 484506225, 571973068, 461441709, 363088108, 60797539, 121197587, 744058365, 872633609, 69532854, 804989407, 414121592, 155209086, 733434683, 628213678, 88124773, 183171025, 195512044, 999849272, 868121795, 798069447, 16249255, 617850884, 34366061, 563464252, 1034389947, 788775049, 1053911580, 672778114, 229083081, 225591481, 497599301, 538406002, 894470085, 198310573, 325837103, 171678746, 641980836, 962189926, 882343941, 40999777, 308979758, 86881515, 959432973, 527064748, 1068784383, 486196509, 970855920, 118286867, 498370184, 556820597, 1007998986, 690279610, 341235561, 322472124, 663280540, 886911046, 359033291, 154020189, 422215747, 106177579, 282009045, 707059091, 376655871, 662241152, 695715494, 97220917, 860861196, 804104305, 1043113537, 74300034, 1030400606, 983099468, 558566479, 420876509, 168995581, 464259955, 141506357, 430534284, 185265071, 606257607, 365004534, 743367475, 754611517, 786345085, 52432081, 372328838, 1025383449, 512920817, 320214196, 84477855, 557408565, 297853000, 444061301, 877981603, 82215127, 865413329, 598182777, 598752598, 283456618, 319425805, 703986470, 542707910, 785747812, 973712819, 675027078, 949124662, 165805963, 249070192, 353717231, 1039758806, 211512154, 678447381, 198843972, 207593875, 1026158027, 703198979, 148585757, 910305203, 28609864, 19277331, 277396042, 278147076, 660178527, 489242540, 1037001208, 778226772, 544158359, 843194463, 631361348, 90232082, 963621871, 91091499, 121206028, 790685065, 247367448, 106835331, 684568329, 322094130, 69287102, 620450479, 998845376, 266531382, 428559399, 486984065, 256987038, 929365704, 479820617, 717248715, 991585438, 1029398547, 292832594, 872536125, 683440737, 30436596, 377208376, 617273560, 835504649, 938536523, 1025566397, 1050276855, 1038238944, 278627594, 817750800, 272507382, 113839621, 550945570, 310736893, 978692220, 865370848, 588132105, 502114725, 931861833, 189847657, 996917209, 75001072, 746596506, 106964642, 205699701, 1035597039, 872665175, 233575649, 681121349, 283886283, 353594066, 980144541, 344689023, 396551107, 712475460, 1023497875, 345227941, 1008069498, 648148620, 523002901, 759681683, 21692307, 260027701, 436504243, 51361736, 16835087, 773624900, 356924708, 835676635, 1028163168, 723175138, 61987006, 28687398, 735609034, 435010508, 3080454, 26108503, 951034685, 178252097, 729876752, 117309183, 441061227, 956103309, 84069403, 222769288, 445170949, 221440766, 293268221, 350214399, 188457458, 527544349, 938890893, 119990766, 725045135, 925470731, 47177326, 303614760, 358000655, 1061582435, 353015702, 541865118, 991912539, 775972163, 781187379, 473433751, 925642115, 640350086, 21149482, 310685449, 579867483, 776134798, 554587508, 163346064, 361176329, 58880700, 138974852, 77442824, 718170291, 249461651, 6883662, 761563734, 322411793, 387113281, 631011112, 551936288, 508522594, 371677954, 511045663, 925315037, 938080164, 454494444, 385970761, 792869554, 1050833531, 1024929764, 851785605, 735047962, 639269737, 313783333, 1045331886, 233139175, 896216929, 608866674, 812281310, 634604694, 531850008, 945860387, 990451292, 98640415, 385829201, 300003842, 571988357, 311086798, 10657176, 472738782, 437420359, 992576599, 418238970, 558780478, 35768105, 225373099, 214541875, 897952612, 128252850, 120967833, 711445771, 1012487210, 637432080, 685487805, 350872896, 589800388, 174401488, 49061989, 1045752565, 148573638, 204542202, 1027825438, 1037348823, 931907544, 690919178, 919692168, 459243298, 745029830, 533643190, 813570944, 356369799, 535409384, 711421574, 634569311, 458633176, 1056116943, 53083440, 714017984, 942888305, 511128997, 443165630, 225455803, 1064863510, 376189632, 881435200, 108558244, 712071944, 278219939, 687256876, 508448077, 190573302, 478054497, 625764544, 711781723, 1041324366, 977192764, 408328965, 1050406887, 921652328, 969555649, 13495289, 32718535, 432766436, 516301989, 95781038, 119965203, 948367914, 1004852280, 34444762, 986705510, 682880865, 639243418, 218454579, 194466938, 639253577, 266369398, 281581791, 571778631, 785196072, 947608067, 324848973, 1007228499, 695644778, 188386429, 129830360, 207351860, 451211596, 675012662, 437032765, 842460801, 460600905, 522575071, 1015686853, 254374431, 188353486, 738629834, 442571199, 686197235, 860321055, 439158551, 142496439, 845743264, 463541811, 18958504, 132851485, 285156040, 470851446, 280440967, 771183302, 914858244, 6082673, 102285249, 635301777, 179584954, 905512715, 175143504, 281867827, 140520871, 154242886, 927631272, 561225333, 771619813, 968091863, 968510636, 413711539, 700392359, 443999774, 477096010, 56041395, 604570772, 313237631, 750579249, 1029515231, 107209194, 916672511, 495752256, 664300451, 359082941, 705486991, 1030423977, 996714285, 228038780, 16255908, 886684953, 193885713, 342520289, 729462472, 641943141, 153508210, 203761482, 865332754, 424394686, 399131530, 451580448, 1040356402, 126763536, 513723400, 431703168, 83549114, 86042169, 242072955, 42516955, 876133600, 990563786, 954420446, 779854803, 803299273, 16761245, 822112740, 62256259, 33650629, 90079361, 424508125, 422172345, 411735029, 357280841, 976891683, 51795273, 563261795, 908820636, 1014355169, 501630426, 635691189, 88164580, 1001827267, 639280893, 138237191, 654409220, 888565044, 579055277, 746743643, 158622207, 204437679, 237392964, 240230091, 298755987, 337137250, 42201830, 542330779, 900332860, 498332630, 611298535, 100265949, 529373555, 340638597, 133966304, 285593833, 227549515, 780172275, 213539088, 46519252, 471763902, 228956883, 1041888204, 485726327, 746014223, 524818604, 72690581, 980063372, 1050327497, 862351592, 604288328, 215635581, 844950882, 351526069, 821511000, 312120883, 497628618, 10232801, 193000205, 929248941, 1007858866, 11965236, 763659446, 121069094, 8532444, 236393208, 46062222, 865272341, 991758577, 369754213, 434385005, 335889202, 302469010, 72577071, 71527720, 471377539, 897057263, 347149285, 983551543, 281435563, 720714473, 259262132, 242620142, 156686974, 854970206, 337285180, 450050515, 545768223, 1042912952, 957811222, 714499588, 526334684, 36142081, 38062674, 739979486, 927850798, 277372177, 786358033, 236297534, 119279208, 422478730, 71662697, 989546480, 307880138, 303329037, 850752483, 920227644, 731880132, 860298614, 440111713, 430286177, 256158734, 784346809, 62844064, 680155607, 240514710, 874695587, 173852684, 347425778, 348829188, 1013734792, 395365998, 411984673, 919112805, 676575478, 829644572, 992019779, 793561191, 129544061, 97594, 934891887, 920637009, 1042874696, 581707958, 90761079, 711960084, 556898827, 993874693, 675328472, 776168299, 941721651, 688212859, 428519293, 630017626, 45455195, 702014697, 102866247, 1046982215, 417586140, 67959399, 728788389, 167165625, 75309224, 694513043, 169823865, 712575174, 602414731, 1006049417, 343884945, 415378084, 964987688, 521254139, 461646274, 143682441, 457963246, 510007168, 585208136, 649372062, 613673935, 140999142, 817706892, 110544845, 148802894, 162432163, 768572793, 1039240574, 1066453994, 578360402, 134661810, 169259623, 130999325, 6905547, 607164701, 333450926, 825411434, 1032196066, 509881210, 417593918, 985496783, 54194192, 393336553, 732258516, 756410907, 490260700, 17782805, 826812188, 926608025, 459549554, 175751874, 419453820, 580429941, 848980325, 443032407, 778514466, 481530751, 784762388, 286339898, 246845046, 451204404, 669584407, 971602295, 195780022, 454877267, 677380611, 484343312, 880081275, 885596742, 663240085, 944842308, 1022494707, 469784536, 359039102, 319522637, 1012500588, 970984880, 620593842, 838635383, 728689274, 307576747, 855524861, 128200551, 116340373, 514855630, 874607777, 419512267, 863998709, 1041374313, 791949489, 212941522, 622830427, 924752856, 573942480, 141271896, 741178535, 303302104, 87497860, 54520411, 261131299, 697808775, 131695945, 148686219, 671773391, 719815422, 571123030, 943517873, 956284173, 534953934, 450599470, 328164987, 220145020, 929596694, 117703214, 882456727, 391142936, 152672629, 290952541, 714273840, 787255463, 1023992737, 156069952, 202770821, 896252851, 50851353, 141352628, 240198666, 282466677, 421111142, 690985038, 771766827, 106647571, 865091142, 736914747, 871636882, 357241908, 803840707, 100877323, 461121982, 428668083, 979895584, 315545870, 771860679, 601324207, 1005032447, 1030927738, 785165020, 789399558, 174801060, 136399166, 773777660, 239052699, 864135157, 635980658, 701693099, 1060141474, 156433561, 490013745, 133757370, 23583717, 793017076, 981634800, 1066266094, 944127238, 104137213, 419404403, 1051445878, 158734592, 500546136, 1030915784, 343399176, 126248587, 864695571, 536291356, 9711186, 661425337, 442625936, 689874809, 776828767, 388692396, 563311950, 560397953, 659336984, 1039165718, 853702085, 485179894, 762063738, 157369818, 772974118, 185112056, 982517169, 523623045, 745599299, 110252488, 799209633, 784390957, 386870551, 947491651, 425658642, 19605502, 887940273, 289328896, 179519779, 843830764, 267447844, 1628419, 200297445, 1022918226, 180530541, 90438829, 1014003853, 922325589, 302108297, 476194292, 1035681425, 596287039, 745510233, 476294760, 525779958, 556663866, 394216107, 742242128, 808680715, 1053131465, 814791625, 34744071, 748962939, 967889433, 825059080, 327257353, 357198615, 965293575, 1057729297, 526281855, 865908761, 60071667, 953009785, 616466636, 238457652, 311060746, 990034722, 427281396, 442337408, 939026864, 921883246, 3993213, 1059617106, 894860202, 206889254, 230351441, 811006886, 748242892, 431019489, 55062086, 685252268, 641220748, 111631213, 1017188034, 406462230, 36204499, 279911496, 930575227, 368913765, 322210952, 273651920, 339424874, 9841779, 682230691, 654715290, 27552492, 582109666, 408581624, 68335522, 804197098, 851228231, 70868672, 259736837, 712409621, 559659541, 939557361, 118766400, 235308940, 585185127, 314686029, 256933653, 153807717, 186358917, 84914096, 409733450, 238839588, 289195169, 1012611030, 678090783, 544654064, 300170047, 60488868, 953190248, 91131294, 418880294, 673079572, 254075825, 920757580, 318798461, 664709510, 759528192, 642298349, 933198006, 854991160, 788345523, 623986037, 309920059, 765216266, 209299381, 568067773, 700476002, 594265440, 18759981, 439457930, 828632759, 1010467786, 276325165, 1046959581, 539212760, 1048106194, 757149085, 40703193, 879705366, 492222520, 399387624, 767325125, 514780862, 824367116, 77580615, 941566898, 448576827, 12476408, 3650045, 1019187332, 390999280, 218899488, 733623970, 626842861, 409565022, 228705583, 439808365, 304693800, 734888593, 779546277, 129261000, 618090380, 188954514, 292934746, 558686108, 339545326, 800687978, 805704209, 793343809, 374510803, 473276740, 889168792, 1042125154, 420530777, 388620892, 580526382, 728241005, 1006133727, 1056400258, 849897192, 107881144, 224529899, 934135462, 997361636, 900935103, 949097151, 1031608761, 583748749, 950982237, 306233562, 782038000, 11513982, 866747382, 397047121, 768721453, 664580747, 741475592, 840261886, 763692840, 334991783, 47945997, 1028295873, 130024217, 664794814, 365091278, 858811353, 213232992, 441760846, 172286361, 675971177, 888527162, 291539645, 817668018, 999521098, 207619108, 8860615, 746653169, 885077841, 35132185, 405516945, 465572788, 171748048, 54829407, 81107578, 723996606, 691349687, 212814189, 665302703, 440358689, 68192323, 1051669114, 654865842, 263571363, 7967846, 890982195, 1060284512, 446848082, 748716816, 224861087, 483367481, 178163561, 654733661, 241960370, 261972040, 918843976, 418670010, 1036150783, 628478754, 22149376, 607542353, 23391091, 446644717, 291244058, 465754161, 231027685, 849966389, 571094888, 496348749, 1006934522, 993059247, 630882806, 218797488, 311151799, 453959430, 210070918, 566342426, 571153485, 389450020, 814156255, 330452083, 836721094, 242810504, 21207912, 882360151, 587867461, 133119984, 142753656, 878354702, 620473662, 797579074, 280240201, 561641767, 670395523, 899165740, 481251490, 26033460, 113247754, 866088827, 676966075, 1070641409, 708340914, 50434214, 502353530, 356648853, 642557129, 1072927683, 34305242, 821855386, 842128814, 984522533, 223198273, 59424948, 719234515, 145428510, 532760179, 357409016, 934153941, 730302217, 344547487, 1027487953, 147245050, 541564402, 374098433, 917768820, 329747090, 237347358, 600813511, 950572679, 1004831133, 280840773, 38397654, 1055757240, 882698673, 939651905, 664061003, 1020896928, 839903957, 168902960, 856011327, 185098085, 894801778, 227130456, 855797154, 577404007, 98256424, 313221170, 667053061, 482273272, 34056173, 762858030, 485585578, 933204420, 937271793, 1035176699, 589895921, 1013169841, 545097641, 77035, 839110663, 1061517657, 527331156, 214240565, 860968998, 859888388, 40082902, 678974562, 950537885, 108827273, 401971348, 699843193, 378057347, 1052648398, 499488719, 913891316, 284786980, 124396991, 237475753, 507623655, 1045240026, 343781620, 658959842, 74018271, 558818617, 97501144, 657964089, 485980023, 366023734, 964949229, 259622684, 211056312, 626132916, 20056574, 601914807, 208658814, 1013441162, 1054751579, 697902649, 119486616, 977455748, 390727947, 634696698, 660361650, 529722269, 245693754, 420883274, 486457673, 1011462079, 784813974, 1067706827, 76030136, 432373658, 532412723, 455207595, 865597693, 480259286, 68437843, 602810990, 674124535, 620770854, 647725110, 882381622, 476619266, 86104590, 51029489, 468720417, 304418445, 673581054, 819194017, 253839442, 711821931, 638791804, 677381701, 993267721, 327644432, 856241838, 432025504, 1044736493, 720568036, 676709529, 163527382, 843906401, 472308457, 34402797, 869084703, 715721316, 139288098, 1014499711, 1046806868, 413907616, 234151056, 5994457, 821023473, 547640708, 452423495, 5919751, 772887793, 692509027, 346098865, 132541304, 1059877722, 587973631, 914898298, 173256609, 435941601, 825549375, 769863818, 453411590, 407113796, 559503512, 247081157, 350366203, 131639256, 383080149, 655734802, 201400625, 750003983, 175918135, 618274865, 545729573, 475378110, 173541150, 55815272, 433108284, 1038088434, 963721382, 338911545, 1010214048, 402823193, 175176863, 45004099, 196755131, 372345297, 444686683, 843663007, 482426913, 678190971, 963573973, 808953790, 132499491, 164392185, 509800824, 373692193, 497104805, 8012906, 189240703, 121455157, 475018333, 165130094, 874647609, 525921881, 316259213, 829102856, 103476100, 270262155, 320646930, 991549016, 447319038, 49574611, 172909739, 773175483, 360574954, 657766976, 450664549, 455205970, 235754521, 324588894, 968342864, 759657184, 444219182, 205629255, 791486453, 419206872, 560104739, 128334268, 910106899, 742383169, 263976022, 950650085, 1048124415, 1038175846, 40715576, 461274923, 1010141201, 541163850, 907290133, 241249752, 710208801, 326007509, 875391662, 506105299, 1015386378, 537821880, 249930189, 238497012, 136766953, 741283673, 448689822, 396705750, 319334711, 571755591, 499705386, 493804501, 205843435, 862443051, 314862646, 818019619, 401222346, 189182930, 572255817, 28045015, 887081629, 567905475, 498529407, 90945130, 944602194, 412873779, 333034197, 298191465, 1052475348, 45801606, 358510288, 839130806, 65004816, 443760227, 572776306, 978304882, 1021679481, 564843610, 809074463, 850100902, 625413164, 296761983, 564001002, 912254548, 104650329, 986998791, 471319827, 877970769, 493134936, 674632594, 148387248, 958494548, 393055777, 450414643, 80536622, 231974987, 782220753, 343732773, 681698391, 373205829, 996029216, 455439128, 911286375, 868194613, 249855127, 562901156, 726347848, 889816144, 854617535, 773624377, 331119944, 922161210, 470688881, 349579911, 1047694836, 519700691, 254573428, 144444448, 290843370, 686007522, 603672625, 32312189, 955065613, 607701440, 464466025, 521336736, 844855186, 428670688, 112279188, 410158975, 946523652, 491635288, 174386561, 328177549, 1066074949, 966109864, 98872817, 224403903, 828701266, 1059998102, 492937825, 316688544, 472666347, 585964470, 190633466, 761666686, 1054500361, 60668911, 98758325, 451486643, 617862997, 123277753, 519458105, 616478444, 946935848, 459175162, 923451262, 666538205, 482018124, 679930831, 280833594, 905874673, 543360011, 784018608, 463645290, 437963981, 1040686299, 917898848, 432506133, 160207249, 931547551, 240924982, 708865781, 296859992, 19620953, 422216419, 128383969, 817600203, 1037393980, 544967146, 941685048, 259671202, 941668368, 338779060, 121152220, 899694987, 761455302, 132850378, 919009629, 552330363, 180914124, 500879078, 984695172, 1056656922, 310652268, 678132257, 836477878, 931608110, 396847987, 51902032, 844316403, 812170490, 669726670, 454236253, 636221498, 477702904, 316334483, 273437615, 258948479, 744699626, 111485812, 140104446, 1064085521, 509092334, 674438912, 916744157, 903544922, 327525785, 773806647, 537902290, 1066230683, 549147124, 564812678, 244336432, 685937873, 610799347, 741054645, 592714725, 653015874, 80421727, 582355484, 1069444475, 287785056, 167872832, 674827717, 633158741, 313881427, 972709404, 890009666, 765458101, 550350733, 46605374, 57858437, 762119416, 521622419, 498490493, 949171675, 119044136, 343700510, 841909996, 194955780, 996826864, 532890820, 706830322, 217960302, 740009144, 108824401, 338451716, 140961714, 941334732, 352691400, 668493077, 943846243, 298868227, 317947784, 875350928, 978442033, 687016439, 546918284, 56593796, 249081074, 605393764, 744278510, 518621220, 381978974, 214027314, 453928722, 746848528, 1045540151, 931298925, 824817247, 315846473, 304437154, 978550632, 519840007, 914249646, 495639004, 973411866, 859003044, 1016737020, 682379861, 675104975, 234056570, 552535989, 875634483, 213514625, 273002713, 255818298, 40057526, 317283926, 202179112, 245667035, 983812813, 1062330604, 661223982, 106563891, 978744099, 996846175, 261853303, 779280441, 925729237, 739528621, 440293310, 602440983, 27427715, 517364427, 569804711, 299871431, 36784361, 598147808, 201706399, 658990345, 937522160, 168483434, 609314044, 361164066, 799822686, 676150561, 877060135, 697238717, 524778471, 918907089, 492391538, 404745953, 322317111, 311369517, 631905782, 501189780, 968101087, 1070464207, 510712740, 539592169, 318994461, 692156424, 392416998, 880416528, 959751788, 892651425, 739941244, 128978703, 106123764, 910202249, 593831379, 993465023, 375987974, 121203324, 274714391, 775090399, 398509231, 412049041, 874201256, 640652176, 482313689, 54644148, 920092662, 147585081, 816725357, 683298317, 90235316, 238931071, 491570816, 8785370, 905217999, 1009888634, 1030016622, 340281282, 519948738, 106656567, 1067313377, 461531604, 87233053, 813649291, 159037542, 860304544, 963217992, 325857732, 809365315, 1020222365, 862746874, 316240817, 108740923, 34037031, 195049035, 484597258, 983103174, 203590800, 503048464, 449397941, 211731673, 390095384, 464139100, 43533156, 555959286, 144036758, 53292357, 921414120, 271197368, 798662164, 875098131, 477062409, 727299329, 34916919, 218380287, 322973875, 561241561, 417099961, 387714967, 677241488, 224336860, 733958533, 515781363, 101662389, 609411664, 633819953, 667994501, 343889694, 114440122, 555083706, 284031969, 276951090, 791720326, 889320601, 752804302, 487365894, 49520639, 727115839, 665555603, 914377995, 140747393, 763930737, 391998902, 837926760, 506326880, 596042511, 172817302, 1069861777, 110997608, 708103729, 491929653, 867133832, 563332012, 712141107, 736280865, 230626857, 1023161053, 964637344, 324783534, 791050565, 467221186, 221457649, 826974953, 185377111, 759323595, 269138332, 945813166, 455968052, 876105649, 401610117, 935214010, 135366629, 884394442, 79190275, 634597864, 641232215, 687924706, 1069495744, 362550387, 1039202536, 915434729, 748468868, 866887981, 79410647, 402382369, 891476468, 841901146, 922929069, 761783279, 498768370, 116226924, 725669202, 707118523, 525623525, 648613024, 904260991, 1036241993, 766686146, 694318921, 150644831, 191415307, 859291031, 298192643, 962297196, 374557102, 405056727, 739907358, 882995039, 781154593, 334176158, 858650176, 48197159, 593071200, 375030690, 779530455, 15926929, 37367567, 44711449, 534279002, 713770263, 647076943, 586362679, 435199654, 346121806, 1058885630, 204870649, 720535530, 1018036996, 709994573, 740904043, 202871249, 416343833, 810690707, 664992367, 223303635, 190587140, 294377307, 826493197, 1027490844, 163400370, 314598418, 365708376, 474370128, 218085755, 99247082, 1031487889, 1036395714, 928395000, 8889752, 793243233, 1036481527, 477177434, 420184380, 1062900421, 216206594, 248321702, 962962041, 959293084, 265931339, 33472779, 578083643, 324640269, 419007764, 701206389, 272163667, 706572024, 594818909, 57323227, 394858533, 636069543, 473870705, 389073809, 715013922, 640308982, 196918489, 250438160, 954243875, 597426026, 584199446, 260099038, 871452879, 590423750, 101091339, 389812949, 649654283, 332283996, 502613408, 45137014, 879144055, 4440834, 781420423, 410144356, 1035516503, 297638567, 772632309, 764958293, 488670861, 933451559, 223146422, 650789632, 548233120, 300992341, 775018728, 942560740, 263155267, 132108916, 370250425, 855111842, 960596810, 197547371, 908220708, 21782328, 805766340, 334177581, 195112833, 29087520, 930837170, 532346599, 822779459, 462601946, 261030113, 723474153, 89973897, 103317452, 218508442, 258648897, 386701846, 656242076, 262963782, 42352245, 582277018, 26390063, 678533174, 660707719, 125484554, 10791638, 537344323, 707558067, 522975254, 599968477, 428112069, 972140942, 310447999, 854288799, 122341104, 83484590, 501106863, 812343119, 45682089, 303118889, 693245972, 1057662863, 745483991, 904869803, 161544349, 938911921, 1057473130, 1068052905, 766560699, 139226165, 851222568, 770029844, 671573102, 580819791, 1066974048, 154579151, 562449490, 670508679, 169384087, 1068734419, 197144715, 170526113, 613618129, 876847108, 1041929422, 887469309, 1048436353, 975969211, 245559811, 775587644, 364164292, 1002863744, 807369884, 975573100, 198034780, 207773682, 944731271, 130308168, 591791652, 68000578, 648945476, 450386171, 109703606, 1061363909, 327717576, 879787865, 463035407, 372669790, 766657070, 529457759, 983857471, 595703165, 818490210, 783835772, 496943019, 324101428, 654765928, 35485652, 1006074077, 329823446, 435548285, 868851856, 715120929, 1030574141, 57704381, 151994701, 531017233, 777667230, 428171014, 82443011, 800839278, 749964067, 854014678, 282620604, 1036021290, 762116605, 357765082, 241155337, 734491669, 775967371, 910341132, 974855798, 706923765, 1039304089, 864263737, 730774462, 987817771, 231092260, 26828265, 870209532, 449729627, 513416209, 701972165, 582542248, 576388263, 825125041, 566251576, 266665850, 167005642, 328575024, 948316133, 27829524, 728029100, 369421220, 682571266, 70446402, 620121596, 169492476, 803735357, 341152812, 803489493, 865419886, 454103475, 706041764, 624032064, 152885877, 328027792, 191123370, 364981806, 109349951, 558345513, 702218980, 1007980535, 495448378, 1003491109, 836484296, 329093203, 1061171244, 461980569, 608032872, 278613389, 927077948, 729003318, 665999659, 307110794, 408008385, 68066589, 962091884, 323678783, 86039236, 940401783, 252357610, 697281120, 467669410, 852572781, 790062723, 189951047, 550383557, 961552974, 17361872, 665991697, 740783630, 378305750, 1072559790, 28700245, 139834635, 845363831, 1021641119, 401898076, 784800425, 284291899, 597037241, 904724854, 469352033, 44840961, 48806133, 697216162, 700372474, 427704454, 95607831, 623009717, 674439440, 766900412, 641597463, 236952241, 392801327, 55667362, 1006023183, 207548462, 317705798, 988342282, 416891675, 298116207, 579438830, 818449016, 829781996, 875556156, 176924233, 67577459, 168393815, 269669604, 68400105, 592459296, 797495284, 920938113, 400817979, 893482578, 466631854, 236082717, 640006660, 401279699, 807530462, 775011556, 543210758, 797445294, 211922498, 481058286, 746036068, 225382131, 93636407, 529157921, 499375750, 133037964, 993843574, 74016187, 568222008, 183734784, 602215627, 574264622, 493301010, 179638107, 203781891, 655309293, 182023038, 89298277, 888246961, 208026949, 743480998, 722476293, 456548743, 723533376, 78374113, 333078761, 267645919, 300929963, 975751874, 516500812, 368370799, 199100403, 257349668, 30587212, 1073400933, 219449730, 812372929, 739834205, 101429988, 550144259, 284421698, 442385863, 303844292, 504748563, 465334271, 113199415, 135954781, 669332628, 894928724, 272261511, 419023599, 483616285, 221640264, 1045268864, 1052721379, 1073356164, 650027621, 493760037, 881767031, 860207943, 1009881613, 629403299, 805142105, 342091653, 872459445, 308463319, 519836249, 921932020, 380224794, 135587939, 965163906, 990178768, 683448560, 39940849, 13589016, 710669933, 485159706, 759836355, 573919876, 514865126, 871102765, 71858556, 837068945, 628540816, 307155925, 983133463, 254640740, 887894059, 994352925, 632017009, 235029516, 318548646, 504000586, 95005178, 247536131, 615647570, 823302628, 697488690, 460806828, 962071595, 220001664, 685359403, 985220507, 496631799, 1059328357, 399707958, 791276617, 591484398, 567127006, 590900401, 888029985, 71419735, 554785780, 587692959, 42792489, 364940, 446138160, 950907862, 632506543, 219055394, 315847294, 177111126, 482777259, 437423748, 794548049, 878367094, 344715371, 813717069, 570596365, 536207250, 801607414, 934420209, 1005177414, 114057659, 865183130, 970373344, 17666354, 917504880, 89773520, 975880942, 197247473, 1051278773, 542359320, 120339795, 769839278, 403313694, 788332896, 1050510279, 196267337, 137975138, 362726449, 136032383, 290297970, 1059509880, 504452426, 441803797, 892046141, 263039915, 415205717, 1068046501, 233195386, 135509278, 364092959, 478699205, 208858982, 1012849531, 289523109, 525178791, 933032837, 887945472, 596776271, 748699273, 377158274, 451857940, 661541494, 45213973, 82924234, 1068357002, 714133290, 212268640, 173957079, 682520693, 405614826, 368633201, 228870662, 871393394, 472369460, 194320345, 864559411, 918913907, 1030542274, 621104711, 949177060, 1008197448, 178024953, 610893487, 986569089, 901449782, 662803899, 361690833, 936367061, 884200031, 463932257, 1071367013, 455249766, 546123064, 739067494, 91665415, 197694757, 1061911246, 797559460, 733721532, 21259348, 238727777, 953501424, 861284443, 921733966, 455542847, 702527169, 74121815, 838192943, 40988344, 205059120, 902206084, 586962762, 664762611, 1000199447, 651013049, 747198958, 50629707, 480227658, 102532967, 1053646820, 797862772, 215369982, 855451362, 133301671, 214007171, 544662593, 439931449, 578136697, 319071827, 651255995, 871688195, 929579990, 363681168, 873184491, 20576485, 718564776, 784098859, 907138377, 624757306, 732056460, 287269887, 791839137, 711496429, 293335195, 366736762, 792539973, 588749928, 567076498, 162926240, 778956787, 600995878, 938227811, 316202737, 15827615, 83033956, 1043736121, 661070419, 992365064, 668430707, 1008187014, 32895508, 547091772, 167578818, 601512665, 968789604, 461780413, 84022430, 954119553, 724530842, 115749437, 826901583, 479223191, 815089478, 495106257, 295135411, 475096644, 436160979, 891134030, 838683797, 1000506783, 560660051, 300361175, 867284896, 449439048, 501036858, 841384759, 934521996, 797415644, 249347159, 337991941, 621976928, 875123483, 542988427, 430406624, 178117323, 400979582, 1071830024, 184273780, 292345680, 420236094, 1006304963, 1000165489, 490078645, 592999973, 904881892, 506483518, 572041444, 361402922, 158914194, 251509103, 693495873, 313506448, 155477618, 229518814, 885026935, 793213046, 245564173, 238776917, 117025113, 191601950, 756500829, 18702276, 266978683, 747914342, 844500012, 808416987, 733778370, 583323198, 61071210, 25466720, 976031164, 541670477, 117419286, 485128962, 75446272, 236933828, 410559195, 605124739, 686324661, 649120180, 652083733, 829633413, 382176968, 761908290, 1057735376, 284396676, 114129997, 88968516, 946824648, 67240097, 497857824, 956316715, 733931136, 703363045, 220248487, 705902416, 861829122, 1019682077, 497350280, 594155901, 144191490, 651882497, 738371514, 730212028, 670786806, 645764900, 254796412, 251316647, 751996039, 33342451, 740195152, 197755335, 348153983, 129410108, 540397917, 91110758, 439931232, 354592123, 679460377, 1042906102, 733994144, 630201334, 401228982, 841599305, 659732115, 174247131, 152452082, 362384200, 683271208, 820120857, 433050695, 542935427, 744178468, 249600961, 852824293, 695624653, 168523408, 981981587, 273621738, 321785068, 13396674, 486619548, 726278887, 658888949, 77384103, 398311868, 862279659, 398338805, 181194133, 239887304, 4792156, 265611561, 991460231, 435369419, 190770363, 800478892, 345352419, 148590713, 724659336, 916068606, 470801075, 751493277, 765157962, 902829094, 810655676, 440610100, 1052504361, 1044399514, 201720145, 953998333, 920488803, 232660910, 868286062, 795534729, 306133094, 445964465, 1022904640, 249495767, 354003289, 1011646813, 1029510031, 280301528, 1006372266, 1015897741, 579639197, 889632104, 894179896, 259143784, 571139424, 514143685, 687147965, 797319856, 400777667, 871652024, 188459052, 624790673, 161631391, 572387910, 496022014, 64613566, 166251974, 942388154, 55334346, 23009420, 802721322, 605871290, 121392205, 1031820034, 17395333, 569697879, 130004580, 72894373, 995642441, 73795978, 338651227, 779637505, 808226787, 987246598, 497892404, 571489469, 1036443125, 445100892, 211708132, 357867196, 155384103, 792350104, 283737846, 312419704, 996069641, 306413461, 751392164, 854345332, 678334917, 444704595, 340531629, 487087030, 132202174, 299227832, 531923126, 54805669, 402338440, 688923603, 271516128, 655999602, 825712945, 777192512, 321075842, 68572233, 650660328, 732705814, 468796597, 402953321, 789074417, 288407213, 707646914, 678407989, 677767625, 852238193, 133737186, 135847851, 464597267, 291241556, 407227086, 871786510, 1064808054, 915583243, 11791223, 544099033, 487379866, 720042334, 850901503, 2361702, 472452639, 201838348, 895645615, 424003396, 112313999, 60450224, 1061799629, 372259428, 566804430, 334838123, 138655569, 1064272384, 574220653, 194119970, 156103589, 68696077, 918804862, 265109820, 381201402, 757478333, 1070280776, 30656107, 330002132, 765144708, 138477614, 64723956, 1009995941, 568552964, 884747253, 365708614, 839443275, 472700873, 142008797, 550834125, 407345182, 974771219, 1004803549, 431823294, 133822778, 418170980, 466461438, 85989086, 595324848, 615131315, 464866000, 839058139, 614400946, 513000739, 95328043, 63244400, 1013438798, 44279777, 567545672, 184838044, 312767870, 622349040, 672113162, 574144309, 199925336, 627007101, 153018515, 101474661, 70576441, 979924857, 844685979, 152503671, 809795239, 968138768, 277653991, 412744814, 518568874, 263393663, 190660559, 533372642, 212129857, 974100510, 1017065095, 101126098, 664469640, 61404122, 664342125, 313554808, 459667759, 706097010, 766716241, 713320483, 145469593, 841176228, 473006897, 553594962, 764665079, 513598124, 169971577, 889665494, 52513649, 319480826, 436800843, 1013941172, 84923023, 378870792, 471705768, 1068494314, 775209023, 175971471, 391856407, 994338152, 1068156571, 536072376, 956459595, 536364631, 38172604, 111439578, 172405661, 422596135, 3380275, 1024513406, 580068151, 162727584, 817739889, 862079765, 156366026, 845468049, 979432327, 441393818, 217798708, 755352247, 228588937, 346928675, 230583797, 620833769, 504111103, 819390454, 1025963188, 139499765, 408531987, 261630540, 566357725, 470688720, 502148205, 967023849, 311062835, 566032600, 315950985, 87243668, 139003652, 698872632, 520969902, 684565431, 238124919, 449124104, 143572713, 341186533, 808308106, 822160671, 167717529, 593070335, 792827540, 265934072, 393386673, 127582869, 678113827, 492498664, 317075087, 122388374, 626198897, 359390107, 482724544, 965991874, 322865347, 947954712, 552386118, 380504066, 534410397, 750769614, 38085452, 452187416, 379276884, 20525419, 223112780, 968082022, 363707304, 452716730, 1020533309, 318508535, 279519395, 226413591, 427862720, 988609498, 435475856, 358653123, 510874592, 884022001, 177719554, 986862706, 930232321, 627699807, 476643224, 112566207, 789923351, 343146165, 416579892, 520896053, 673462522, 924880826, 1013437096, 561626869, 986099816, 96034638, 255357909, 232289675, 395268062, 839413157, 141565027, 287741883, 555552035, 216412167, 439587177, 183541771, 570906573, 663725243, 35525382, 887038039, 703155799, 348419673, 842215877, 89698232, 399305813, 767971733, 9676167, 220095092, 371099856, 258505765, 520234975, 773634962, 592585437, 740959960, 377008814, 945387935, 1041058194, 487516083, 625140029, 905742944, 825013167, 23748791, 452258415, 196420223, 321732648, 101091936, 1046910691, 213245974, 594418974, 987900500, 23289568, 242235746, 695303422, 717654428, 89871627, 199827639, 351685518, 188118500, 222800435, 798539967, 661032178, 760946347, 374731182, 19387373, 340204983, 242660622, 979264174, 935630638, 360971727, 1065679450, 442926670, 308249351, 945905564, 558137478, 678778593, 684852591, 580871757, 647492116, 129086787, 569970211, 523629644, 1014513392, 617852517, 829736538, 29052063, 450541580, 475112277, 135861293, 973206461, 939812294, 468321729, 205256026, 1054512318, 981636051, 21488617, 327756018, 663809972, 475701633, 191529406, 430359567, 308815808, 990892960, 185814695, 672226786, 741086691, 437686016, 70677905, 928387486, 969061945, 808116370, 463284593, 290098774, 1059505501, 446999323, 552007883, 700314493, 608251808, 649123971, 495867111, 1009260996, 565534895, 663529010, 855000509, 301270823, 58967027, 340030250, 354750626, 795384538, 1050984176, 605420442, 577576098, 511629356, 472796269, 71642656, 163869342, 661758543, 362312054, 903778622, 1045852110, 1017551541, 366442451, 667479046, 1048159935, 487364941, 284152179, 865832975, 361037603, 785554690, 972216852, 826315561, 938574567, 655373876, 793342422, 424745882, 178569010, 314722701, 889957617, 451341676, 385212511, 69666198, 1019282285, 992657500, 794605086, 452844425, 599681189, 755453495, 337377778, 473899621, 236702845, 27690085, 72390979, 235171427, 698751030, 597906768, 363814915, 278467921, 490417066, 650994674, 160949423, 926670060, 668735751, 1035879372, 738630104, 768792080, 462524695, 447970322, 1021759779, 1040824753, 45899616, 698533569, 307614493, 111586033, 50829599, 437949451, 378448752, 314872223, 253583146, 368758070, 431922085, 473867505, 774915210, 500928667, 745281840, 726408239, 505841035, 571602036, 265181590, 541963811, 1006837677, 235400726, 993760378, 655771522, 669580992, 408969547, 586095490, 217384140, 756538959, 103588143, 955346892, 1058337942, 658347760, 390442223, 469191736, 1021493399, 10737530, 165107231, 136850863, 794613577, 1049616098, 243619071, 840417732, 696390584, 584001397, 292805751, 437017650, 441301102, 556072528, 533941054, 280830884, 144174038, 1034973483, 79006352, 454668665, 235039720, 1051470001, 924453840, 814420120, 177074559, 1037065447, 438301391, 728113472, 898948061, 144875940, 570693544, 226772073, 891722044, 830727261, 272094819, 837450905, 1033735741, 879429107, 396136912, 338611938, 691500512, 413489835, 2992974, 105173914, 111354712, 1054146716, 765270764, 960991993, 150277575, 277566762, 504679795, 133363765, 449136394, 971531990, 122508859, 84404763, 680267791, 220564414, 577762087, 292473871, 847743404, 648789923, 280775236, 196471276, 208137380, 573454770, 887599291, 711103697, 247761472, 249928890, 556704045, 875701127, 571545683, 282305410, 369118779, 756233352, 822496886, 206883852, 907857678, 956873364, 408455011, 369204516, 511207271, 242942896, 840653927, 399897458, 44430993, 675992283, 649923793, 488026267, 240910785, 726802226, 550479160, 809150606, 1071943929, 796244247, 684064843, 521770484, 773123020, 716512683, 35638469, 112355172, 774382013, 374388545, 465443288, 296557163, 990217689, 984576004, 20245942, 534414671, 780623515, 140212820, 859935425, 631747678, 886552380, 548779967, 727716342, 7574380, 345137246, 846978812, 327785206, 926123707, 311714869, 538185225, 764496088, 886893743, 121419000, 984365520, 723023397, 56921502, 723873569, 196939195, 110811241, 316207713, 288838548, 149232127, 331570595, 1364710, 203799628, 23268667, 258304456, 718054942, 434363414, 390147712, 125205991, 114129119, 184669338, 1046571336, 748910508, 823177989, 462329766, 305881154, 252312438, 106721007, 922355632, 1058617150, 1042338750, 1018381631, 815089977, 857836018, 961983433, 829011297, 154088631, 356117165, 617340779, 677512163, 270014690, 1062601305, 229230115, 223404512, 857979613, 1026982418, 741860341, 841288978, 931491431, 694205462, 1033706625, 863994225, 559065147, 421839337, 324069848, 383964313, 415899350, 112099877, 51164887, 415227416, 1072134413, 505515825, 268528281, 1040302692, 866213788, 59004692, 964930889, 298888588, 976272022, 797873752, 274080850, 901325667, 479210998, 231903762, 719674403, 902954574, 507182923, 495788345, 857148275, 477488823, 579902421, 762054915, 36436885, 972769620, 299785648, 1012551058, 482735146, 369766759, 906454060, 362547432, 868388572, 981234437, 399312188, 331724171, 57592251, 817489616, 475913836, 35340773, 994322287, 325788606, 308066686, 25548448, 572477746, 443399707, 960320672, 109088812, 232743752, 695971622, 249036619, 914357847, 582346770, 151689957, 971720956, 659822859, 405824382, 216046385, 80798437, 355777521, 765686526, 598054389, 1490026, 758257224, 706309137, 914146533, 388821928, 495816924, 899110318, 950726814, 681633663, 793080536, 517440301, 70166526, 791576393, 516111406, 46890373, 282144245, 533619806, 485011156, 485429588, 334905770, 871460012, 22799299, 59953809, 960832874, 184090975, 261093373, 850085411, 73427203, 764649147, 68369329, 694745674, 446164723, 39960506, 88574168, 817393951, 634222781, 978888228, 959901110, 71325769, 672783245, 847121106, 807105969, 319697304, 890038180, 93062327, 522610871, 101350018, 28501326, 294800161, 528118674, 610979532, 410587316, 598215512, 1016668818, 758381977, 233626331, 111750813, 545999325, 994024160, 623827902, 803656104, 796601794, 286771879, 306046953, 415012909, 345244310, 174910833, 1065625016, 136515635, 1068072872, 842584356, 250631943, 145672048, 104101176, 815328491, 369551750, 876466971, 364128199, 121880983, 560091232, 314385382, 962627530, 291510412, 86530553, 409305106, 335258917, 929158680, 811729325, 1025649087, 234204526, 15625306, 662629556, 232145323, 312721378, 837216799, 486273793, 123679947, 462801561, 383639841, 270606311, 698424644, 371872208, 320888515, 78577212, 197596618, 271395658, 460898044, 161119912, 827242957, 525144253, 103077034, 966379798, 802324530, 219700799, 822822090, 691805674, 452837234, 129660553, 412555227, 64817751, 796878294, 232682299, 408243536, 52652073, 221269433, 752460500, 128065431, 151436745, 661296227, 707462332, 513477407, 828235068, 902260375, 323193178, 519000123, 259807051, 668059699, 674998692, 36938526, 169440325, 364708575, 645135548, 382438734, 1017253505, 298457804, 206152141, 410110639, 699423047, 807394716, 721302332, 301864396, 884586671, 714672607, 226940735, 183811703, 422622896, 353378525, 956009538, 716614356, 23642654, 332928422, 330410259, 1789620, 752596619, 123041723, 889094677, 408820757, 1041203269, 805137029, 878881500, 155468316, 40579267, 364249681, 74643773, 2494598, 20976148, 897648895, 8356899, 481867465, 917717529, 565745188, 919711179, 412676364, 1028461806, 1000111241, 467151762, 483227148, 145568891, 600765025, 65738008, 520040021, 122928786, 622632560, 492837280, 979084726, 278724650, 158186847, 933008769, 570085347, 426066727, 27672449, 862367884, 29636704, 384173995, 130707359, 914793661, 93917937, 774037875, 249444193, 1055340003, 5130256, 820201504, 505385072, 925228380, 954456549, 336724271, 486876978, 1028587187, 555832305, 647335604, 341715221, 408461067, 536915982, 516623393, 60389605, 490627003, 446531374, 610230414, 100128193, 869163244, 153417891, 501847724, 235841291, 347068712, 252162063, 706725777, 341908316, 876484546, 308916947, 3132946, 70383736, 531082627, 398844196, 880967577, 855768776, 804306707, 271958181, 1063986549, 879614834, 886283552, 133614836, 671221161, 748589990, 632487881, 17374939, 13053888, 306629349, 1054600077, 468644116, 572469943, 1005326096, 283266230, 484364189, 959178339, 790664334, 852110411, 1028122916, 642230173, 693055183, 810696387, 493933322, 290537960, 788584648, 694848897, 837630696, 165229523, 64056052, 296617494, 844126078, 1049068779, 423352599, 95360354, 945147180, 691336645, 354402499, 605329781, 412322117, 268879078, 568874620, 23291662, 83519774, 324062934, 605060115, 870755101, 28265132, 480322920, 712584746, 551833387, 455427217, 66128861, 145603872, 1071066905, 893136285, 834911889, 406125394, 568852220, 196532302, 540332180, 688878948, 800576211, 464927001, 5318870, 88661083, 62460090, 35538099, 268989513, 853580270, 1072189446, 55611, 492487564, 64938807, 463709538, 628233743, 1018536339, 578363832, 48464999, 1021222210, 511028171, 403571459, 122466601, 77369221, 538329959, 994166807, 483908191, 399794828, 941036877, 802111505, 866952381, 616115469, 406548187, 895127235, 636435653, 774791438, 306050946, 744125412, 18735890, 119845731, 901484064, 472247259, 531576587, 755565553, 981962965, 409068045, 740699065, 953670, 959134849, 78971399, 1011992795, 371036278, 894976187, 996820936, 1025786385, 753632160, 872442612, 857334835, 53559986, 489294516, 461595787, 42025118, 949952837, 664554992, 22112080, 366412808, 491530475, 770336211, 175219508, 35372670, 547590760, 794657586, 397403009, 174794708, 922605911, 447757794, 1065625221, 191670039, 932716426, 687608900, 102122232, 362266360, 602408024, 943974449, 740601419, 727873882, 457109981, 109075200, 1024352220, 575260496, 226296676, 632597155, 119060776, 167532740, 1044691589, 496111013, 303327526, 1069986185, 1064266320, 240512351, 465746094, 1046609132, 488275622, 1003179272, 761045645, 324120591, 1002068707, 688632310, 38742229, 457940281, 291243533, 132069937, 270564278, 346997712, 20864173, 472604421, 649643082, 702603935, 491741405, 270552611, 186904466, 502878887, 665333791, 587474283, 492650457, 526102802, 172482580, 1002789393, 467338411, 398548282, 1049757515, 26775628, 1000127881, 716375222, 1008452764, 34389490, 33022192, 935845003, 680111047, 519764718, 446626279, 184318813, 130000948, 569069235, 834042678, 313982937, 512951692, 385008522, 272437092, 915665003, 1011643876, 498966370, 588116242, 530860783, 782739136, 2647744, 265903645, 939396743, 338753210, 975099928, 827289128, 954225313, 910826514, 305390149, 837380238, 252592313, 249558771, 663838259, 876855613, 867296492, 410301672, 850801222, 906599467, 824233442, 82486767, 324824765, 511624891, 351534188, 919497215, 732079700, 47870417, 745871780, 1062089959, 231032597, 823552733, 900024231, 317892782, 383264043, 914896078, 1027179523, 320437492, 89059919, 714687722, 5537696, 71666248, 981109899, 264100773, 982392467, 120283981, 533876758, 1011795955, 1037990366, 522206425, 178630341, 684592862, 18923064, 626031208, 739430685, 775133841, 247673187, 60551668, 979432211, 142468217, 1023913049, 569190392, 46260925, 605979919, 685144691, 1057441427, 594578382, 1050973933, 419928414, 195696352, 32021071, 264382316, 944792239, 1058245020, 843384229, 781289085, 832004915, 596821030, 333431971, 864871495, 923125303, 810249132, 820852279, 763098046, 548950779, 558797975, 256665702, 50148610, 672673798, 596533207, 85367229, 239897000, 860043824, 859446259, 916995860, 141948158, 129781775, 190700629, 578947434, 108902631, 602966503, 133758266, 436898622, 477173524, 487269690, 508821157, 302364271, 207375960, 180305555, 165384368, 216923344, 789724138, 568026150, 998538103, 874872952, 284243291, 744337076, 564775703, 340787044, 764666135, 572312148, 785535966, 78783917, 727674909, 377057273, 344468633, 238376099, 972144418, 640654600, 310356245, 255714354, 625246577, 851150145, 792580238, 996029979, 648224424, 794132997, 385574574, 638094439, 903443172, 1051851558, 45751819, 548032788, 695384573, 668234482, 543142855, 534557835, 571479216, 1049946026, 971696228, 141693268, 776571732, 339669940, 173819607, 930785430, 639715342, 341158210, 605020097, 984892631, 992966844, 731939091, 934928338, 590315758, 551916608, 1000991498, 896644777, 293247884, 1069763112, 476813537, 804692485, 974737589, 499809381, 979018678, 363503781, 455566225, 995707682, 768257172, 738157044, 594784176, 705842359, 601508935, 581700319, 542721782, 791467806, 625008622, 185241858, 494990461, 957013435, 771463250, 439121422, 450340935, 506935741, 553252823, 541405354, 89428466, 719487647, 95164382, 169777905, 563535967, 132709020, 336673393, 731530136, 715010816, 968632735, 637010526, 193806099, 743999108, 438683262, 1068149696, 322315064, 29910321, 420828352, 512244362, 959697724, 676428195, 984832213, 5895105, 598923622, 36138528, 433275880, 992460025, 513059505, 116669052, 157777685, 328511132, 594962923, 59251587, 404127373, 584650312, 181254235, 43950260, 234079529, 212419599, 369346730, 487550959, 429465133, 58113773, 343705182, 622421886, 357861617, 989001642, 764118850, 999392930, 901266092, 795827820, 313406027, 199949622, 949263337, 338573923, 878328045, 540791917, 1014656339, 217846868, 220685450, 244760333, 563092006, 611194064, 452763761, 989354990, 66635488, 941494079, 863614507, 311965213, 554314172, 655721148, 1071568247, 470248658, 895560763, 87177713, 939332578, 859010740, 460924756, 575492943, 422844066, 511485241, 77713665, 314228172, 733866342, 409570820, 371337119, 315292319, 839484869, 169452472, 340812473, 765059444, 532433632, 137188556, 747359509, 612556123, 46375461, 523120222, 1064157770, 480128124, 189438817, 499784862, 622751274, 68167058, 543188558, 472125610, 210365724, 282953029, 669506470, 409947162, 489288834, 209388993, 937793433, 289540497, 1050834708, 1060229158, 674235681, 69677820, 907175507, 29109370, 999526308, 725855929, 255256737, 159169203, 68951948, 723883831, 1009687989, 422969736, 101459349, 800886008, 840244095, 521609707, 496801315, 852285879, 574134784, 86241573, 841059264, 301659935, 352482297, 1064913674, 912779512, 820806900, 224541395, 302283943, 14026567, 84933393, 1050207586, 786517399, 33774219, 449131810, 382321060, 73164495, 935376944, 766130988, 147285761, 177471502, 87370643, 376808795, 913450013, 907284091, 795787910, 452916115, 262309665, 37044076, 889223879, 700088814, 687272929, 484073715, 676247439, 136583587, 360058328, 737255418, 2635436, 397839524, 119543758, 765742590, 773967159, 600489156, 112966947, 452334377, 428314852, 741796157, 302921011, 710385647, 1008264321, 995946935, 906641882, 758819845, 454837639, 721303825, 160980600, 882845852, 1018722769, 573868275, 696063964, 24120829, 80894013, 743339300, 1053020696, 971741929, 602027867, 894490258, 65894722, 783222811, 1063385989, 280741839, 4862161, 144838913, 545555083, 762570709, 184041419, 658795203, 245222628, 224970708, 587344338, 497296732, 526302283, 788030563, 763452032, 313147705, 944070680, 519807744, 109157152, 315782612, 504242990, 793110075, 173347453, 687059448, 214201454, 210628283, 775796072, 731651983, 949661882, 1036917773, 448699216, 149145972, 463712741, 668955841, 343681756, 526533997, 807151529, 913146512, 413990291, 429186970, 401351640, 299139859, 1053284153, 721122400, 605070485, 371948600, 20966180, 38636022, 885048711, 1003876738, 119975640, 260013972, 754000180, 657527934, 1044309502, 67108153, 20991852, 405816149, 706377420, 171928381, 976871623, 270263723, 659698087, 323003362, 462955224, 1037741320, 836825009, 737930986, 635151164, 258575373, 696610709, 660651835, 862485232, 325045041, 1018745059, 344025919, 739758161, 709328505, 615263414, 825866962, 848754220, 810918428, 320974776, 422438688, 441245849, 372746150, 648816810, 975410823, 1015977459, 950311991, 824733684, 168810324, 314563950, 102176535, 97892878, 672247720, 962077722, 928245489, 103190361, 1042637204, 894978090, 989090807, 283829434, 217915313, 288540818, 662297132, 236248956, 130389705, 275046202, 207563179, 336658215, 347461873, 1008086294, 283416124, 568299963, 809429867, 111126849, 982113719, 604500909, 785308802, 885970436, 323382091, 61852406, 715437676, 117235711, 234405892, 569548613, 548455768, 113863305, 665702329, 305284755, 46118167, 485962521, 795189099, 518570491, 800835821, 420301497, 254357577, 408858778, 490171814, 370944343, 943810583, 723585097, 710462810, 276202681, 938135349, 345076250, 384663376, 183139165, 973915761, 878317381, 815479307, 695977751, 445026354, 871043172, 282146645, 575594112, 213133943, 335063846, 902350030, 639159088, 700436089, 302731291, 813516767, 775353350, 567472660, 202401821, 53006645, 708286514, 77337376, 1060819994, 284989075, 165724268, 630091307, 1016467161, 491120105, 652589921, 26895326, 354529977, 574189259, 855208813, 1050589521, 272510399, 710332697, 634956703, 607038652, 130571245, 141273564, 605442639, 806632455, 105358268, 72607737, 519609160, 160337639, 954412381, 131171519, 1804252, 884737889, 748332697, 39981494, 411550156, 436426156, 676572778, 539649295, 896511085, 240712155, 474893727, 798657250, 996217967, 988624756, 1058032241, 260069709, 777664077, 604820570, 226959538, 502662688, 892834017, 389796176, 31335451, 717815877, 55367964, 737188727, 415880805, 1043181229, 1014750974, 1032331926, 539154594, 1006699168, 359052224, 385691933, 868392099, 612922117, 272667761, 5758610, 582576324, 560715386, 1002574546, 809946972, 519863725, 771186171, 74628875, 1072603896, 555043849, 287426806, 464730342, 239878783, 912233970, 65903991, 1021366226, 766341155, 554475054, 712121920, 571275320, 663055213, 967866936, 36683846, 387654129, 532249988, 285108169, 403165564, 10489607, 904083015, 1057301317, 223155392, 226092837, 823887139, 1024763113, 510591429, 304364495, 563764544, 1040013816, 131705955, 550622679, 352271134, 919297196, 407312954, 1027057715, 1068351116, 665087668, 441135684, 588695550, 11092773, 267708626, 480025806, 409787697, 1047130338, 23976402, 537025459, 738013121, 171123524, 914888449, 802747295, 885001160, 1020150310, 466287099, 934741591, 957316034, 312820673, 723412488, 222396793, 502475414, 439820187, 288314795, 350008227, 501910165, 649511940, 724119470, 240682730, 123110522, 199830198, 978904374, 658079974, 907108074, 591819598, 672531232, 1014943662, 381588481, 985266655, 529343426, 475621794, 717979596, 1014737518, 514949775, 299254392, 220562082, 1072582710, 1065083101, 288885047, 135084911, 414066811, 415494769, 810638203, 1018871568, 928757046, 538466065, 693931723, 566031859, 910137880, 458683911, 860023277, 792543715, 821779726, 572931313, 755345254, 918962397, 735355441, 591941021, 770419060, 16374236, 631005333, 696116172, 708983122, 935426033, 948158317, 150616783, 262886439, 45097025, 1049474306, 830392627, 368819645, 86946465, 609806058, 640645851, 937101311, 187800479, 1025796411, 48379106, 458579222, 669295332, 1053506940, 769178941, 211484835, 496027825, 868939314, 519265556, 729507350, 568375495, 538909003, 463340598, 394038888, 396613093, 641087910, 573442690, 832655044, 802846557, 255192881, 906862308, 184102711, 664309152, 22162923, 302105083, 124446087, 576569290, 267955449, 267289561, 891329490, 428129800, 59194801, 397666441, 379625035, 379972713, 773089490, 142762541, 58306249, 585988911, 418089535, 330049513, 764404753, 770741885, 173734485, 285135358, 758133706, 695391531, 1832479, 624792291, 1044042560, 1006014009, 158756528, 372020539, 522333429, 814608402, 142809586, 342663455, 704111160, 365223825, 1032640052, 777221465, 1034768334, 751917506, 546445313, 736875965, 583459773, 833780133, 441033882, 517075106, 1045664849, 268258112, 839320947, 447650223, 628480665, 305378516, 150544672, 97190843, 177622205, 665741095, 798163617, 156263806, 952391269, 563092862, 936494024, 15589073, 230248020, 713989177, 155357084, 127299031, 1026711043, 840344736, 618546058, 247335657, 479636126, 756226, 1023624410, 432186439, 983382907, 1027680632, 1038938157, 617258656, 845985600, 597562424, 746483224, 871652307, 218787793, 27268449, 119253279, 840969322, 356726993, 31598852, 300501129, 267486033, 976912028, 527108061, 652413486, 1035627736, 839729932, 554713824, 4181062, 24654493, 97654833, 826799112, 571310292, 976234743, 1048583674, 103364584, 895264949, 828172274, 485291550, 1007754939, 378399575, 592790074, 296727728, 705590606, 611598370, 233993323, 664467878, 341727877, 1008212654, 532561458, 556370930, 239790696, 1022895724, 133571344, 60209907, 1001771928, 46596793, 583230331, 375810946, 431425019, 177332957, 987450149, 42980986, 250213311, 101112827, 206329500, 261548521, 392823493, 872449801, 822237630, 934536788, 366332159, 78033402, 883603398, 136573517, 203812627, 837239170, 394619645, 726662047, 202698388, 565020361, 801603818, 42689743, 49248710, 128844668, 837757770, 575706382, 292031323, 945417294, 519644690, 452231404, 519659499, 67084733, 632065886, 442048359, 241826639, 1030476208, 567336197, 466504314, 1020931493, 439621953, 831643386, 395799782, 724595336, 607112393, 1038740244, 224974211, 411084695, 512252945, 1033420304, 727119469, 773125538, 346754479, 437697512, 367427923, 756088007, 346813370, 507600494, 239797199, 566558944, 521620184, 368278352, 938969680, 239316341, 842878483, 639995096, 777880378, 513436661, 618592206, 145054926, 146175997, 981744875, 572826736, 370386714, 740474588, 945982530, 440660386, 361791470, 780558885, 147313972, 672823097, 684375624, 649668, 577621069, 621736501, 772746170, 376474778, 664498828, 440288833, 334814672, 6529534, 17303269, 734591553, 859452470, 294421153, 255395253, 467903108, 509214856, 619654460, 826187713, 63385752, 493857912, 1062604445, 257886413, 20375208, 383858587, 933299853, 455054399, 436325475, 681796407, 589378880, 142886530, 98241065, 231225851, 92241762, 960053101, 71147822, 451423475, 153392659, 308130519, 1045739793, 673526090, 989791424, 800983515, 191869332, 934965840, 717356540, 504515754, 156949026, 748861693, 641823355, 282334121, 193174245, 563594024, 235746498, 157208928, 166146388, 335448284, 1035406389, 633833171, 901133380, 958814849, 260877988, 348627705, 961360195, 36993248, 295751634, 169833753, 321827353, 799118020, 129183101, 1057810273, 92375759, 600588778, 1002203364, 161062107, 206381321, 558530570, 727124158, 81558773, 342714075, 708709143, 701263952, 1038056584, 561766359, 864335311, 449791774, 393359407, 286591290, 1056887984, 1050552170, 1003769042, 304612739, 811531363, 472151229, 778417761, 638082947, 26313868, 339693197, 935792364, 536062302, 687725612, 100297311, 981810915, 404382989, 729633329, 982245293, 75343718, 521425096, 955407878, 755092448, 40961159, 528254597, 1007401894, 372750771, 970205566, 193755003, 954943222, 652091365, 171077071, 303926331, 881368429, 646176297, 441989618, 862016969, 357580707, 387911186, 1031185098, 834321146, 970295239, 9892511, 370573653, 900460963, 152949609, 797906941, 949175140, 30656448, 788974430, 406145904, 944985254, 429104717, 309687123, 42191612, 29801412, 588585151, 550493845, 245125311, 530083512, 1064390176, 530534816, 1022489925, 1021780875, 424200347, 777480047, 992881638, 1039017794, 503438624, 565513702, 595610557, 588635943, 859001662, 115125359, 717410864, 818149788, 1046226345, 33416172, 935443951, 257117644, 936893289, 839493104, 815326807, 429979185, 264688652, 123286378, 1007029629, 1052795087, 257820305, 966933496, 36917174, 988258161, 740844550, 163374102, 676170372, 874126111, 783145141, 167433733, 648249273, 119171400, 362284684, 373015897, 62417637, 405652964, 197891829, 670046007, 861085525, 1010208173, 193838261, 1022221595, 496468540, 35158211, 1055609147, 938377507, 882126849, 819494302, 667209338, 172422736, 140454453, 67347787, 547438117, 221997990, 544819377, 271074238, 179397086, 842979269, 272476581, 952508873, 271365295, 971836138, 707896162, 815450677, 214858246, 701604185, 54893563, 925156288, 704552311, 635439607, 778099561, 296596229, 20897473, 646624373, 341804168, 161069517, 25493678, 475745029, 721016666, 358520002, 126133584, 22788329, 576793543, 466000869, 1072470307, 945680698, 822286426, 590485737, 907812136, 366984867, 870145759, 1072079287, 848268623, 3594371, 509491802, 593985456, 605966143, 223305555, 848758759, 258710435, 694045703, 572511854, 756351041, 1045618697, 233445209, 459479643, 367194132, 18331317, 535657967, 454982151, 113335230, 769298142, 629599277, 472565473, 351790062, 176945064, 1050790531, 679600018, 1036241902, 1005739603, 1004269862, 141587805, 425152670, 69511960, 1049429395, 881404217, 143676958, 300616247, 759928426, 215425350, 628512113, 720557042, 222058674, 516184853, 119635353, 633512367, 82953565, 992416703, 917868687, 564614774, 735120088, 437061182, 1025300835, 398800896, 521397579, 1069560419, 388171129, 801577737, 46231208, 561837370, 53385569, 721630071, 985124439, 967939183, 484898086, 91506573, 323363404, 964112812, 892188781, 477496120, 1034537807, 834913770, 197513521, 620427150, 113089473, 256301236, 1007937362, 126294396, 393930539, 744208431, 970449640, 39980374, 663420642, 102552774, 381453925, 364893601, 594897441, 817691778, 282044594, 980533491, 429808549, 368062525, 204842887, 270554482, 786274065, 170377218, 242250507, 166843498, 450256168, 702254113, 79564177, 656583427, 249450226, 216798331, 251867954, 524983399, 526806876, 326084812, 966118898, 844823874, 941102921, 414187656, 177326331, 169785762, 474972224, 245655782, 32157641, 289584577, 817217541, 764860565, 720678701, 651210208, 501718485, 666695204, 469034174, 727188820, 504661296, 237912866, 922307585, 149196285, 601742853, 498907137, 350695312, 754815300, 747963435, 706972876, 290274657, 93041181, 521339882, 48979558, 185674527, 178756698, 778183931, 546338015, 34486887, 472279230, 522709386, 759376034, 315624372, 183079047, 835641728, 100377733, 151853356, 755980702, 342574603, 582115028, 679827520, 731671619, 136383138, 852917044, 542267036, 912245678, 479447790, 200360258, 1009574127, 799846081, 973645404, 1015165911, 486601916, 944447236, 217008077, 836285789, 869154636, 584135049, 195377146, 1018789020, 253401283, 784378174, 903079080, 79229755, 775341512, 308630946, 181291842, 723194408, 519317381, 1006454179, 151860663, 765790860, 698451145, 994960748, 663984242, 882614113, 1052718989, 151583332, 821823295, 843299267, 310050027, 834084164, 313033943, 656572588, 127059770, 953846085, 1027031827, 878366448, 1032223496, 703245877, 51227079, 745414932, 354822761, 959420863, 909315893, 842812728, 669285989, 900073243, 982448126, 139081568, 192950629, 433233004, 654201196, 992635751, 795234115, 116640884, 760119918, 443197999, 832857361, 881141328, 203090574, 831669136, 347927809, 657883157, 586501093, 238308876, 365065488, 949486621, 871963368, 577664710, 1005146791, 59494224, 349030145, 693797107, 470498830, 42640747, 266189638, 1020770465, 547228636, 546872658, 627202525, 740062461, 261663497, 351026095, 155497564, 1068759577, 354733725, 495678522, 589741499, 175527706, 906080488, 124680636, 153950475, 520953662, 151347717, 631647231, 939391083, 506737692, 940068222, 471678048, 161055893, 368438751, 158808580, 389089350, 977623280, 588366841, 933986950, 303214435, 781030991, 76714666, 623190984, 406111679, 462619383, 438149615, 463587388, 492237804, 620367095, 726866928, 785766754, 943869684, 12712453, 55618204, 882743926, 709297068, 402840293, 849257590, 544676398, 128013021, 496982135, 211509440, 129698740, 363691230, 729777031, 461743010, 157418005, 76735869, 156752251, 317098156, 434802212, 591798124, 463666503, 128053022, 804555190, 347429512, 536523582, 815212287, 390876522, 815651620, 527474410, 1050360973, 876850515, 875044018, 1007201294, 485808471, 427595901, 905316867, 1018714840, 66181911, 344919628, 369872454, 506694755, 448916209, 972202893, 896026924, 381175391, 176780314, 430577967, 589925298, 12417929, 172293841, 1053696735, 376161339, 108451540, 852962185, 467722169, 1066282812, 737225759, 75999366, 110073943, 649065442, 289147335, 275745614, 58625779, 732028101, 909333236, 1069322024, 907570454, 590431189, 598193230, 235629313, 509275695, 487681899, 371325511, 923942265, 748523051, 1010543592, 189383649, 81586800, 350731002, 300545690, 928040197, 649058173, 846001271, 248918313, 542740266, 71496987, 266084977, 862586625, 201364287, 210340360, 857587453, 160907263, 987262004, 451493545, 1007481136, 938245324, 806744378, 965852686, 453659581, 967083135, 1016434334, 897504343, 406162067, 644145117, 224964881, 43935908, 755202033, 647788101, 966027173, 216428915, 94637244, 630929886, 640423265, 93731140, 1012767064, 243137177, 633438744, 389953002, 14922193, 17941498, 57407150, 724465319, 409982105, 1019934753, 901892792, 174662873, 142662821, 611880162, 600101657, 879141168, 364763981, 141436673, 1053172015, 142425767, 688751346, 577064860, 753648063, 134222468, 992779290, 957582215, 180353061, 230972973, 424913525, 369342163, 534923822, 685189029, 930875357, 447822550, 537877366, 219165988, 250748125, 417480563, 280731548, 512749385, 151770203, 646020064, 847856670, 471607684, 539238605, 872743360, 119006715, 72540559, 602940741, 1053443356, 673127734, 282880344, 769739345, 324597471, 464755693, 671272426, 223658372, 68827173, 266762760, 881131238, 538099487, 561529015, 967665030, 807844867, 118793576, 297058205, 831692297, 312697976, 658944805, 242508925, 898771556, 791308242, 931217074, 629959296, 722075173, 128218721, 854295901, 377759743, 380979857, 891882913, 313773152, 46131205, 199583869, 410069340, 906479189, 46163851, 933962007, 525513333, 587300283, 886121105, 517582960, 763789503, 728263738, 1017369076, 471547292, 725704045, 719744134, 838875198, 1011984739, 216827997, 294676682, 652879743, 821966907, 601147772, 55318257, 749083410, 908287447, 448634289, 86599018, 1026093456, 465280070, 245978316, 900724581, 306120048, 124704964, 135334154, 384829478, 436345633, 312030576, 624551098, 330452417, 457988520, 88855688, 210772562, 184936781, 573633027, 306475284, 825658456, 361149738, 639935772, 993720215, 281575941, 1030551300, 611460839, 983068103, 1069203564, 876673841, 723814417, 535160846, 642143710, 689016201, 585256800, 936631596, 1062491972, 949694163, 552212330, 15466551, 592949729, 652179657, 622140032, 673633881, 531202052, 350553335, 504152021, 723983992, 103700470, 90890308, 908103095, 402007657, 100264477, 369699045, 745700614, 888113442, 897023949, 788517814, 864820496, 630914997, 1034366846, 42600369, 842799411, 160399432, 153768959, 414549863, 477125081, 73964639, 298731446, 1032251157, 962848219, 906672293, 950176269, 455015689, 1072020716, 506360408, 405592234, 598084270, 110942930, 565046011, 40977995, 27252296, 733795411, 517083235, 364904752, 279267907, 372511222, 759005903, 382887973, 379329449, 75955718, 123118212, 147812897, 174347403, 716128427, 380644527, 555620646, 513752361, 1030071781, 907638399, 837787921, 424922278, 1031909301, 298517525, 655030906, 101168619, 428707048, 689538221, 309906329, 558597254, 714035569, 1054163532, 996208717, 33656959, 930251432, 379705933, 255258625, 1039860028, 925368546, 890231943, 125870119, 682944725, 671823856, 402451951, 288422562, 112660765, 698967115, 356216265, 800295142, 951239947, 263449039, 41178452, 1025455943, 831691539, 1006856847, 477400005, 304895026, 733581937, 102303176, 113776073, 26449099, 716469150, 803023100, 965146221, 753595884, 19281388, 103648654, 837033403, 347369991, 655934984, 938585753, 83078533, 75706508, 775084740, 699955727, 201604503, 739948517, 917688270, 388489927, 726072449, 546244930, 619854164, 268344247, 510032638, 677599735, 413588282, 254654349, 619583964, 581103845, 349265948, 419519366, 560436036, 624312897, 303316317, 809485205, 1007415377, 121898736, 14039245, 21093319, 176764664, 250760997, 776876049, 173179574, 134125357, 81658875, 83863919, 118114802, 1016708458, 201932216, 466841118, 586774111, 218097621, 266324312, 684593517, 693347254, 171442677, 699293351, 347815381, 444583210, 769407049, 351500599, 537079992, 338586984, 355814356, 392432807, 1066489992, 454154712, 990156765, 224310140, 185132891, 384530285, 637788389, 98879251, 304505614, 705088873, 302967102, 808590123, 377503795, 677301694, 945884962, 706267313, 349129921, 782356899, 453781973, 712752282, 975169964, 281698245, 83079027, 605320667, 66399152, 812434568, 428074545, 964169857, 781089414, 1001595794, 1045173291, 521773566, 231625959, 644060346, 150576512, 370437196, 37212426, 310032606, 541599111, 116644967, 857488373, 418062782, 33366044, 288322232, 487995515, 379459551, 28131490, 375512983, 1031012164, 245443820, 654582377, 542558859, 65021517, 693153851, 61953077, 52383324, 487427099, 904479633, 895977710, 908568846, 704762021, 45525433, 277774269, 887738924, 220641214, 475182638, 600475108, 394347901, 864936345, 958295783, 612669343, 228408662, 121634125, 182278053, 713216079, 484881809, 939410771, 19542860, 705918104, 468659130, 811931447, 358074255, 90597776, 634506023, 333979484, 616325881, 681732691, 70206831, 521480555, 827531491, 35586517, 565605323, 447941886, 113917165, 526832069, 677835226, 1020971118, 962348170, 927180869, 881477639, 755748410, 58437030, 263512670, 1005151623, 189137799, 903506033, 697943100, 290754745, 650429920, 392814204, 846826365, 812724714, 591482755, 65130999, 211735249, 928935183, 1004216992, 726061628, 689628655, 50010759, 489972028, 928122442, 955882851, 726788120, 1014674953, 130726212, 1039122506, 97736620, 951246469, 922520647, 1033809305, 218645237, 257557968, 375725225, 185779975, 634577261, 786318580, 752919741, 569008230, 581631086, 411310470, 463438544, 359303838, 56139361, 683957893, 687676865, 567961284, 427550647, 175865253, 691900418, 799986826, 202099967, 415502145, 738483767, 656604289, 600108446, 688736422, 937211304, 125157686, 237109052, 542088746, 768071092, 157594658, 991313645, 273868555, 863613391, 310643454, 514252361, 274896353, 418447602, 680210719, 424664548, 249250464, 986901193, 726606629, 803502230, 412207582, 626579550, 389953547, 641137606, 223202066, 779129418, 776471970, 344601428, 404820980, 739853676, 79861419, 264320891, 346752790, 1000669101, 673864257, 354268998, 671787967, 344027004, 315727226, 566325955, 85218073, 276833010, 80795346, 151864544, 330557600, 506289431, 70854148, 336457641, 224974770, 288968977, 60102368, 489572541, 913506967, 203948178, 776650913, 921183352, 677308894, 129364635, 334619772, 297954, 215098514, 362752149, 266872112, 550666236, 425795641, 340817315, 937862003, 934859384, 195567547, 196533766, 2011580, 1009756503, 161285319, 382309804, 659516923, 408351510, 333631527, 638141621, 817285056, 421579036, 205949948, 292814596, 168996002, 550221677, 503922580, 473210583, 731193274, 214221724, 843329745, 469279124, 19537068, 164248383, 886225791, 620402657, 479914111, 494435125, 817778122, 642570993, 292765452, 49607073, 538067893, 276759122, 957646260, 623755526, 469268039, 252100071, 376819034, 105232300, 275833580, 984675484, 572707310, 845934626, 903048316, 406860317, 521432637, 40392408, 842620060, 1042867808, 35176930, 1046302903, 989268052, 74621604, 263611696, 322807665, 371179958, 205171827, 1002604485, 10710874, 1014918299, 174961680, 859958159, 410744506, 924779893, 938205055, 776938966, 555629851, 589830505, 677311607, 947248478, 263555406, 622436253, 156381638, 311358385, 1027003598, 303733842, 470585960, 1032890961, 1073270767, 441422126, 57326481, 759008716, 618602301, 780191877, 865739701, 285697317, 715421255, 622509844, 807067988, 898770483, 610323045, 624895724, 563865894, 482407423, 337225455, 844755743, 896012395, 843242088, 574735549, 255426222, 367128049, 845227309, 106486587, 935067557, 274902540, 411475481, 544696318, 193119623, 1055531418, 1067154974, 827252699, 110096697, 827756961, 794639978, 804904134, 167331342, 527695533, 619675514, 552310636, 1047225603, 560699962, 16587897, 798961468, 338437240, 949172988, 15930102, 384438768, 211975450, 650825982, 714745625, 960334122, 611057133, 373251494, 720091277, 531799724, 826266256, 449313362, 484592716, 996182817, 348238243, 326849569, 613310217, 822145678, 35549126, 737538114, 86750303, 29986125, 147806788, 199506625, 757407980, 1051769028, 1009462482, 1002807110, 558260413, 873628838, 311171257, 968139054, 569815111, 162101120, 270466686, 989554354, 926588566, 309559728, 286787375, 119822631, 903849398, 392562906, 354974526, 102709484, 311752274, 434524770, 961551012, 198073070, 854139984, 919248819, 870563425, 863461138, 529051433, 718628013, 683665285, 567460757, 76246837, 788023614, 355345557, 795938204, 745703273, 615674891, 116112098, 512497895, 83573243, 358534639, 534370342, 585992473, 735367061, 242964734, 190148693, 955638002, 195058861, 957670009, 1516083, 853018743, 1056500611, 193261654, 562113669, 241032685, 107310123, 1018896027, 469274265, 1036342855, 728999916, 168445005, 327576952, 815637350, 150816533, 524778383, 1030846204, 865617543, 844036633, 306392874, 626254725, 121059398, 206203269, 1017316127, 372485553, 799258881, 117076246, 495343412, 955662580, 409860185, 791736774, 584925788, 947946755, 216965428, 297466087, 981815595, 511908989, 520449226, 783228875, 936049282, 464992092, 364849451, 23752822, 59114158, 393587917, 1054567934, 736206130, 937767979, 293721068, 410446409, 955314137, 160941324, 295411124, 940968406, 876164268, 482090082, 542072549, 520007052, 282055602, 571998492, 693311644, 202303485, 33885548, 676256827, 968938010, 651350564, 548907483, 967249150, 158475363, 292463000, 199991113, 789583484, 45053476, 830316130, 406448732, 199626343, 1018828161, 649404639, 868820599, 1014249799, 262986901, 298442169, 375245390, 746981339, 853378581, 109856759, 775376629, 151249637, 626150157, 859868385, 362644610, 849450999, 170393379, 331759659, 364607748, 237884575, 719789916, 884717489, 752252287, 359470715, 892163255, 336878121, 124075906, 684848236, 194085665, 218691572, 845213915, 751939400, 550909066, 462473201, 485448518, 233630301, 240564350, 669395820, 729009767, 911919998, 370943160, 154017234, 905896836, 769356298, 1068448549, 782477158, 836113313, 163915630, 12351368, 145091904, 258799863, 321963936, 803155605, 250272604, 172287012, 755944061, 288813784, 177136386, 1000388517, 250938090, 708865978, 326969334, 524240137, 452701508, 287156660, 462231463, 876186335, 919760760, 423571549, 958750836, 485371500, 899224843, 236757076, 301396146, 871823954, 852016565, 249016240, 90627026, 341365049, 445484413, 507510955, 806152344, 564271858, 194305090, 815643028, 608909215, 179909579, 1060943567, 811869483, 49018655, 151564460, 932382769, 1071697931, 1067640537, 847313198, 255556471, 926444415, 1070860, 838662338, 728816339, 269441046, 310294205, 308143253, 23552076, 80556145, 730020822, 1063980193, 694078875, 833375571, 1007714571, 658718754, 992644641, 288424611, 605942591, 947763013, 360436822, 608885095, 492380323, 488488159, 156563936, 370122015, 305131169, 623061349, 911452634, 519181746, 271648177, 908678017, 535677906, 479509411, 45126190, 646997362, 15755962, 234310619, 419002755, 353627559, 991436030, 473326408, 714467027, 287745689, 425829807, 178797811, 543422227, 983753465, 498257482, 695201020, 225700126, 593095092, 16227448, 162164388, 35610207, 59966782, 840333812, 877231117, 423159458, 275442511, 528998647, 54709151, 420149303, 946966477, 701212841, 745822265, 531058340, 204637905, 839952138, 1072335204, 427874230, 313006181, 166643141, 254002649, 951123513, 1030588298, 630290898, 126836253, 896876353, 972876629, 321310055, 317467848, 394248801, 412805399, 732339705, 905705459, 394349892, 715017574, 396465193, 995610417, 176903780, 170390315, 538211122, 173634167, 68744902, 142712576, 607997491, 58706137, 830404229, 200474455, 1019657166, 576518564, 387553344, 790037145, 1055095219, 368099496, 367329907, 207156514, 817355054, 176927391, 125708508, 461668244, 597212147, 181632967, 542771640, 814106692, 148232400, 459387957, 473941601, 231560583, 214113654, 861239263, 337455099, 113800158, 533636667, 588406917, 255546211, 573353217, 831795138, 286225968, 789287795, 761009634, 535740731, 528894924, 85248399, 974604335, 176672013, 333942933, 816732325, 843567788, 47367993, 563084313, 948570483, 611757998, 739596776, 272124246, 835078228, 102643763, 146265882, 571709686, 1058811951, 708024996, 937520484, 73527858, 32661477, 140129745, 223082405, 35004269, 523160454, 1003659816, 303173879, 96173826, 353586006, 644750836, 102088817, 591490078, 511889779, 348297906, 772123185, 756251631, 43060422, 735918622, 935188686, 59012599, 861833647, 683792483, 540964125, 246618918, 638279153, 1049037363, 670738782, 346511348, 714456766, 605951312, 900109132, 1067368606, 499799409, 40315347, 464765322, 140582406, 972993358, 2762980, 441301237, 888341677, 687746269, 144495365, 852853885, 58690793, 759165095, 823830572, 851229513, 57275081, 216058082, 344690747, 826037009, 302667503, 617688291, 455066165, 274526532, 102412191, 532375271, 512777180, 102525487, 262095631, 367593552, 162068798, 225435705, 754568337, 536034207, 702338968, 428300527, 829109876, 354694809, 249365591, 661769351, 135402525, 93701487, 561697095, 800991172, 828206447, 894144647, 256584159, 986764715, 771878620, 756035068, 24161336, 811898286, 898813998, 420348533, 735544921, 122768532, 483510170, 1032332689, 722973181, 617080017, 1039509481, 823189745, 84797267, 374038191, 843171013, 272543432, 939132739, 337391593, 319159958, 48258588, 970572900, 834001231, 218735941, 426951716, 455545938, 594430030, 441894041, 527225364, 621130878, 667988900, 153101340, 183308377, 407903687, 542285924, 342198293, 340839502, 750972509, 349989363, 355455838, 564156017, 953782872, 724855226, 193200311, 749378833, 997662358, 854805832, 520211827, 643319945, 49063368, 16210067, 239079245, 614371241, 696010821, 740436439, 923161855, 859757960, 984049548, 941890655, 856224743, 639024594, 156091936, 527070872, 240182941, 37230019, 247104465, 418126148, 213532784, 519248531, 1011536938, 474345355, 58732859, 582327174, 702470572, 231468187, 223699522, 227004211, 503338657, 386674679, 112486538, 38742020, 349502138, 795309497, 381250132, 90514434, 742475233, 79996506, 402103790, 750725133, 449911600, 270375102, 544384455, 453917937, 74160385, 1046183604, 210394922, 69296668, 375862960, 1072881611, 80979547, 761612568, 257658540, 16344608, 493779674, 836327003, 26759206, 171225729, 941346064, 566593583, 245592213, 99471503, 297150492, 407899280, 216415371, 895984750, 27232569, 257001975, 582047995, 948714785, 958741685, 879979659, 57937636, 239097205, 914976021, 550288300, 629706142, 218961312, 780215312, 352145098, 377050359, 741044248, 256211803, 358066731, 540912868, 129775737, 594994524, 1026636961, 192567747, 425686216, 303828688, 414442142, 49355221, 1007821402, 250398732, 763615633, 492847730, 277928406, 286143717, 605930558, 807753760, 63965415, 862518947, 805891307, 661184454, 756991365, 975981169, 618911236, 773511065, 804579619, 816105645, 326139395, 80071028, 966509751, 855163782, 939767249, 225346486, 13600864, 5619369, 343988473, 382747254, 1036253238, 943723446, 364004871, 71412113, 732206733, 39406121, 452449725, 1053991697, 44953053, 525425080, 175006374, 640266691, 275920030, 224704851, 506462380, 295192183, 96223894, 148957988, 61917978, 250199447, 232429237, 1016984745, 601155210, 884966313, 937168928, 1001799590, 555000566, 949332389, 497257229, 8917968, 827977173, 629821620, 801902921, 540340840, 170196001, 983734392, 501701031, 884504611, 596492471, 313501032, 517221971, 654305120, 349312277, 634117962, 845898338, 731529127, 524530474, 762670296, 629843643, 1635274, 1059551058, 519964639, 363242023, 391403544, 99591069, 851946162, 715762193, 489686328, 1015386981, 635868766, 527710796, 987639622, 839898497, 349405777, 249005441, 987959666, 209922027, 226501597, 148230586, 12892967, 210244395, 122188294, 723778232, 603852066, 785464456, 466300086, 1056690976, 755803542, 42859910, 824065621, 1045229938, 310041213, 986982739, 309893063, 167678492, 203270367, 1040215566, 180106002, 678567027, 303812677, 465382841, 642281419, 314920829, 715328052, 579755280, 802857267, 922676345, 765115351, 974636121, 549549580, 550263932, 297189890, 135278252, 1055590851, 177212111, 647401719, 178419252, 727363780, 956073504, 883084743, 970821574, 480875813, 371874248, 567063567, 201106377, 1041602203, 992924456, 368604965, 594303713, 146723214, 671113471, 545689756, 720597896, 895160807, 450466011, 352951441, 963514232, 289340580, 282971377, 631656626, 48833612, 836336715, 545831916, 717586883, 690192537, 706355018, 110999303, 953788967, 931467446, 518145647, 384445784, 49952954, 122523033, 728321992, 92573537, 203585360, 1031550420, 530506686, 1058607529, 369267461, 678627594, 1012209240, 51647296, 246868895, 691023221, 1033461098, 901887153, 321867711, 234393187, 236084045, 675785846, 854302634, 742360196, 377881317, 615621728, 15940728, 598419456, 939625293, 417255540, 572909227, 447272528, 197750580, 845845299, 541786462, 936314829, 578757102, 14016040, 269887377, 709720185, 252356561, 576672689, 625221970, 171907088, 910665814, 1045136216, 195889405, 22974825, 813456585, 868347646, 507388405, 1072370954, 646175018, 65311253, 749326179, 138561560, 602507622, 923372002, 498498262, 649467057, 183623056, 287402157, 40391926, 1045126113, 794326799, 66138605, 588363783, 509052973, 983140782, 931922980, 464784754, 144742096, 171276312, 215770364, 512757499, 417785493, 795187036, 204475655, 317446061, 747373433, 353291309, 537739527, 266326505, 313086531, 720095395, 1051402574, 660566972, 21150518, 932935670, 395204524, 397958115, 658286450, 150665245, 412920239, 868653308, 761599492, 726901942, 708119231, 965930587, 413633852, 816883393, 478493109, 1003340330, 920864989, 299620450, 144472425, 379502670, 122747690, 793937520, 842591724, 889635265, 1020794129, 263190067, 486448854, 73978782, 232673825, 746511388, 890952604, 398276091, 856311298, 752614891, 393149499, 475449520, 214804653, 284407059, 733888103, 516372556, 274370194, 380743780, 174941125, 651021045, 500677839, 838943238, 541853452, 783931744, 1010283213, 26249984, 303414221, 58865244, 230293125, 605285198, 27080943, 735088694, 378834093, 580872014, 150336561, 110183096, 189718354, 894547450, 440170428, 718673563, 182253592, 1018231253, 867184317, 129577868, 200688373, 1052150161, 264257513, 538640488, 251185232, 594918221, 805924549, 24151247, 268161595, 778252034, 479231185, 655867724, 492132513, 406607118, 908389676, 682274667, 466543796, 555015000, 18085910, 1069173664, 631606328, 580479594, 790950809, 676696811, 481700881, 945901039, 582381147, 635513195, 1061052120, 426910800, 511074078, 844071224, 626679107, 1050314649, 108284558, 1011119188, 888922261, 433172870, 382333829, 330183514, 887269577, 662577037, 342037982, 770228107, 939983471, 66902908, 475881032, 622958711, 59553013, 749200139, 792120962, 546515934, 261659249, 437634991, 318971359, 980252540, 185561519, 977030139, 65710684, 922399675, 608541244, 132563230, 186123808, 332324133, 86817698, 8536565, 885670820, 144069602, 131489973, 420907052, 578949007, 13020958, 861798830, 1054796158, 51428271, 330547341, 970329183, 888980004, 521436896, 72012492, 427412798, 958046465, 994537113, 800497989, 70606697, 883011952, 36490366, 780541546, 218459275, 580745836, 1026791317, 1000284668, 79276971, 404395849, 762835537, 579925355, 547683937, 892586162, 326239120, 118758403, 966898678, 375702850, 779480686, 512233153, 53969203, 163622053, 377920573, 493141126, 476402036, 5320249, 540853843, 398527644, 856594646, 809239463, 573509814, 475732609, 457791559, 999934414, 349190099, 457699459, 978771551, 244290570, 957330748, 501898827, 1028264807, 409389734, 9585358, 924022714, 72351530, 482084607, 706548444, 191792927, 246371796, 621312927, 255507687, 997026306, 817679572, 444658675, 735699918, 853228738, 188981139, 550406901, 357361432, 27963454, 822198263, 398777474, 1010915552, 456773967, 902067213, 543466447, 156924626, 752636536, 507535100, 878894403, 668327585, 677589007, 767927642, 42428795, 997894505, 800120523, 859286291, 663646671, 757325263, 1062695561, 151201863, 482999486, 53540402, 965959438, 586091213, 159665045, 456607315, 125415093, 789879630, 375366906, 705351234, 349399003, 24423805, 503729817, 625154089, 1025704952, 672075779, 985455340, 240154545, 762647472, 979109733, 636839609, 678823508, 55946747, 684250239, 176201714, 553570065, 493560684, 365936100, 152822313, 964962271, 463786288, 1012570693, 585160401, 384353547, 742063850, 420473864, 213050457, 553758632, 531077162, 149361478, 1040097823, 224078240, 788124801, 1000970453, 494317234, 856248015, 623892681, 523605241, 766352177, 565668536, 458293565, 945884655, 191229692, 320805342, 484875502, 641853027, 1019508069, 1000674411, 1060431008, 538328595, 5853451, 696677629, 145399121, 568001927, 686473958, 920065847, 124321326, 419292710, 477058717, 513276076, 163498850, 958428408, 368238606, 413239283, 312059714, 871350873, 494616137, 900204154, 1034026738, 743756084, 210514364, 380792673, 381564359, 172224040, 914810454, 546043542, 157332064, 2941869, 1024435089, 523307557, 967416612, 567108960, 1063955160, 135740541, 600844325, 894264486, 702146950, 605353581, 904491414, 225982422, 719843748, 330153552, 1058309062, 584553241, 737311513, 738832083, 101035498, 242699368, 513751959, 630062913, 290556770, 846040750, 319947937, 874958655, 562396319, 871500184, 899144205, 294761082, 236656426, 26892058, 321215921, 546930795, 754874257, 823234587, 452532113, 984582501, 237390589, 962428459, 81377217, 872064106, 684818570, 162629894, 814002067, 918665925, 563767894, 651351373, 1042816424, 499657687, 342901828, 779846079, 93878171, 648668808, 629471874, 1053066664, 288577444, 806176284, 805499540, 928628409, 111612545, 432844946, 430624107, 265723361, 295916974, 366785744, 576456395, 324385089, 428441455, 157513601, 452505523, 415879403, 755966391, 653487269, 1048937581, 43628661, 369506347, 35886100, 783772840, 993811879, 783152076, 560092855, 393366631, 3622668, 458020720, 608833685, 650201156, 544426559, 802490802, 158881040, 629094254, 288491177, 715622848, 327103832, 914577171, 128291416, 956937040, 899894271, 159957357, 489641508, 811949996, 838994576, 305985881, 497182342, 655298550, 104071070, 458423209, 786101255, 591134936, 397931269, 943007188, 826620010, 504904585, 996947133, 586416242, 990654847, 1037733524, 98422562, 69454825, 660468560, 740885429, 187110733, 423086961, 108823537, 756309608, 1017554694, 25932402, 432847370, 760108630, 1070793495, 114213765, 774661876, 100749844, 856231084, 307391714, 3414376, 411901623, 177781423, 938881221, 795834919, 480051394, 429602819, 286057473, 706972498, 410092560, 985813831, 859900348, 343470259, 587178888, 163330147, 514397783, 433557572, 767775011, 640372312, 91668645, 310790348, 152370636, 42447308, 656375345, 375977494, 60264579, 493849509, 1040779255, 543350123, 263706250, 386765700, 815568774, 114621225, 253661041, 710112502, 961577921, 62189988, 584183226, 1069517718, 226423131, 894234980, 126526393, 839273988, 810068154, 920163274, 522291226, 889475156, 1015627799, 857236779, 585953586, 966657806, 1003767090, 236470910, 1058423715, 191580791, 622851801, 173642606, 897980337, 407233847, 1041767491, 362455521, 645936933, 996941086, 74326209, 768830871, 462640997, 570548685, 418361367, 134993507, 20917453, 966846739, 471382413, 756092379, 368932754, 595876375, 198871783, 59889760, 742322576, 414246272, 413467566, 733754235, 951795111, 440626660, 803771471, 603579139, 299721, 53166088, 490825763, 942031420, 900496926, 799849747, 17424716, 438390433, 344678870, 1058951295, 741364211, 249081614, 412560640, 422258579, 658939702, 627188203, 454978863, 154943724, 589314007, 560306513, 961030057, 1012062812, 663486659, 889686541, 802615777, 1057478988, 694890647, 835131254, 129291663, 692779207, 369386017, 220748501, 1021396029, 939396763, 659915004, 55233413, 912629355, 373151129, 117667963, 439532043, 822921405, 995498752, 929033393, 21485170, 248081385, 740882085, 495796803, 896060094, 193981125, 244296807, 562192173, 90631439, 735839063, 1065538526, 857689078, 623365718, 652763648, 970335546, 1036058753, 40739553, 447336387, 467572386, 824156325, 1033995279, 144201230, 415550465, 859559438, 442284432, 656360141, 368892360, 145800555, 681517018, 535565705, 941138880, 553027926, 826302569, 162418897, 558920999, 809629118, 857770177, 503822762, 354291030, 133839892, 294173768, 544527764, 915782791, 17822275, 620722706, 714072117, 492560325, 743088854, 764564805, 403634270, 628220277, 589922662, 972896915, 655360369, 143980961, 207474037, 287636036, 730051822, 640387594, 73230694, 369575231, 351073798, 426812670, 437913512, 525505213, 283830645, 185798407, 599537597, 85327531, 903407717, 1048798157, 571674927, 425899094, 702144961, 515059970, 406209730, 900571316, 137853516, 529907423, 724038046, 890749088, 527004002, 205289656, 440421311, 722747974, 35474555, 839402741, 848571939, 116153845, 98271063, 513926587, 876219099, 801021757, 982168602, 859953947, 816597496, 622487157, 345232194, 543545178, 643453060, 737902209, 948408660, 626407860, 888755049, 626961264, 281308332, 791372157, 663019774, 634564191, 468875625, 148600614, 504410775, 692421150, 312694065, 711320238, 626809799, 319197677, 274243278, 728138638, 18215044, 970399645, 21097233, 221183936, 118322766, 236383642, 571477035, 246270906, 14595246, 839488973, 176166359, 316540440, 1012099817, 192877025, 855162971, 668403863, 117278602, 697814582, 293577871, 491365819, 1029881849, 562511653, 321675338, 736257233, 521335319, 1056700391, 299182244, 1032735024, 536841993, 379362949, 935102153, 590245867, 468760027, 214889600, 576041991, 495418046, 50134660, 267327441, 52575246, 954126911, 556054796, 714883521, 13404850, 602998894, 748984542, 607211692, 397598498, 631440078, 106433256, 592293877, 765783218, 42899418, 290844711, 445545472, 857779921, 596642836, 463638697, 141336751, 624192609, 951109939, 235416504, 830736877, 657400399, 578150682, 552043887, 1039751477, 1071452059, 59635658, 56814627, 294301780, 925102891, 736072149, 267425432, 364098993, 399961936, 276724760, 924097201, 532179399, 273052854, 716889006, 623064817, 990279722, 1056348915, 880847506, 519093954, 604879606, 368939546, 688026998, 634280879, 368487014, 666596361, 709167445, 728304135, 753068803, 833657369, 50928159, 507262961, 178072318, 875782730, 1040428539, 498348549, 677718843, 112050438, 829692046, 37685183, 603597669, 1056966602, 922843575, 286441048, 43004228, 464835936, 737435940, 566177706, 897794248, 87124582, 274347457, 647306297, 114063557, 266555746, 685228873, 578497183, 752802311, 794717770, 990870096, 1043760416, 420039235, 931546618, 124186194, 502965525, 204853173, 217405263, 603978686, 916660689, 821233626, 874843852, 287062128, 578682495, 99024622, 177847663, 511246332, 879367504, 323664026, 989417316, 927144505, 1002585696, 1001274852, 122537841, 952736615, 87959717, 154920163, 786298589, 743606032, 288092488, 92092099, 1073733163, 737622604, 90887818, 511025378, 63542592, 1012696953, 626350134, 131913418, 742578949, 212451531, 137263880, 544103806, 1061643803, 604551532, 466367685, 44729529, 366351378, 338943069, 186653872, 790178997, 986034275, 129392908, 407952007, 95505811, 381203494, 777314485, 59547470, 999472085, 1025680281, 408765335, 726953684, 15756618, 115563470, 958221268, 765127837, 809916814, 317460863, 676805519, 222155276, 173547364, 309554867, 670035975, 604574618, 1067128589, 582885579, 278300771, 365333198, 1015146432, 902200351, 291674092, 801644552, 824386181, 779529438, 277147212, 933718848, 1018754034, 980055340, 661061412, 861171451, 364778976, 774987766, 1001613291, 374568215, 661957550, 806879022, 1006674195, 946441181, 652654054, 936095504, 134744184, 873425709, 468217511, 376913957, 1052091261, 532458, 803369124, 274726911, 111304188, 477793268, 347669554, 630011715, 898141542, 759588203, 679293936, 780228234, 737427852, 937202016, 109549020, 89815834, 466198314, 894493139, 43173965, 998252587, 288025532, 700235315, 407268654, 245758332, 486196440, 415535331, 318449456, 1030235531, 619838459, 565357426, 902913967, 757966043, 771302341, 811473735, 100916815, 481404590, 486882256, 560680219, 63216000, 219040146, 585778402, 1014226727, 654718538, 808602782, 998842396, 870564421, 875877205, 761094578, 1038248925, 962219129, 979313793, 969378468, 874161655, 738868098, 600940118, 715026646, 131072066, 330690951, 479330208, 217548618, 862602764, 792253967, 386945581, 896337221, 350597367, 608170996, 485653591, 596005507, 488393337, 790318795, 772233976, 1049016911, 354426320, 599263431, 197417702, 801503958, 1028768751, 642286305, 588932396, 55069843, 389122984, 1010543485, 396360495, 42020876, 179855381, 859302489, 610944995, 572905048, 800781681, 327182402, 331764232, 87281784, 631129991, 336762595, 521968666, 709673637, 404638427, 688579614, 418504062, 890907343, 862022360, 939275462, 983888139, 1032864833, 546203158, 119493508, 882288666, 547855647, 372931360, 615278865, 822090039, 536418697, 398085568, 591579067, 663894941, 576032132, 842510140, 28260008, 131824658, 111556006, 858308093, 661103696, 815834789, 729822247, 158788125, 249621748, 980746928, 318237494, 337822192, 543093402, 797926451, 570877195, 371004991, 496264076, 508121155, 887816605, 791419197, 268122708, 193185299, 710075082, 874148489, 894143620, 619668665, 252100381, 292385670, 924618583, 370421113, 882807026, 374449243, 450606594, 552176699, 100318507, 1049396578, 863144693, 132019877, 1004506989, 587236086, 659084641, 775749930, 343820626, 108733065, 708579758, 228006594, 175411031, 976210455, 573356823, 817971920, 277176714, 59322629, 742342244, 250656013, 16007456, 509972112, 490540437, 541230742, 976492819, 228796083, 803997570, 454808154, 174826291, 602532917, 66438282, 240060978, 1009998139, 742987077, 685115125, 161458974, 515375655, 297219250, 816945167, 538367087, 43682313, 552273983, 667653980, 487780931, 771292503, 337311743, 193175937, 929548772, 717775677, 873206493, 486617766, 591403055, 99532922, 695898371, 206595382, 97257756, 838297658, 983759969, 257972701, 270923192, 1067435199, 785366716, 933350948, 445563163, 896101077, 1005526436, 211899043, 435509074, 59793995, 883316681, 923744247, 846116635, 815386032, 1051001530, 574205349, 124434926, 816964589, 5443806, 252601602, 759484725, 1043029967, 172430048, 851499430, 134325704, 724668588, 866118358, 956566066, 186429924, 307701707, 328603284, 221033758, 413352153, 691604114, 509168763, 308802786, 847320908, 118708522, 301431857, 264140200, 774866083, 936991782, 1050224365, 1044957240, 621746822, 382972294, 820438528, 1013970655, 577443286, 252548589, 407257520, 235450205, 338573387, 254747154, 64321088, 463523929, 989660010, 79632364, 309344634, 161912993, 993804133, 990443854, 1042676352, 654272824, 73781274, 407758379, 301217560, 597808249, 557172698, 125252306, 149652694, 527717675, 706943847, 852216899, 679703014, 928390584, 80714648, 674628049, 881616771, 1035682369, 226437478, 428209282, 906864081, 403209104, 475102871, 744597397, 985934538, 30180496, 539838942, 443424034, 189973657, 105990877, 20840472, 73930072, 582544105, 145762607, 781401989, 594389757, 735840398, 1004679129, 767901335, 337421257, 640269218, 859365844, 849844502, 1008381255, 380962804, 230614028, 434852709, 822943874, 136586680, 354569855, 17871957, 565822654, 339984053, 100949194, 740353087, 363368976, 558481494, 598802507, 547940336, 522539163, 731338174, 245473686, 154506025, 855530789, 341538889, 406316935, 468514811, 247241615, 577471055, 37171369, 850549665, 626091550, 568736329, 336764524, 562399716, 719804779, 88131240, 276073184, 801695980, 169595629, 683813531, 1004912621, 36539762, 653695608, 463399400, 600498985, 515487605, 16364306, 317470542, 293597418, 266174962, 837349548, 539613015, 709319995, 806134634, 37125768, 449260024, 366509258, 805107047, 134918830, 118411267, 322267715, 456745307, 391184218, 819149241, 595284734, 631369167, 963286843, 12536865, 204173870, 6924246, 966865647, 296855567, 164091871, 988009907, 87516518, 620531322, 654069225, 192249317, 276227690, 339480310, 765952644, 303818368, 977413473, 616476017, 843320008, 758558995, 246421975, 616608025, 181758808, 329314435, 977908368, 265260762, 1010852119, 232953340, 174229677, 702750155, 760098557, 760292034, 620362161, 379770647, 807559440, 595926444, 601684188, 842271644, 855325232, 622701071, 108496503, 931549590, 945941429, 1064106042, 35302609, 18054589, 176992716, 214566779, 557767694, 219171632, 945724371, 257655949, 271747408, 852256976, 568301843, 1068114861, 845841337, 1032959351, 714347701, 275525294, 293685170, 279221435, 606566300, 755196767, 457042024, 827813887, 141408589, 402808847, 185474884, 182946260, 27849929, 82757319, 39548118, 816286551, 635609745, 1016330985, 705526415, 403237303, 317830321, 206861896, 581474308, 824749620, 463234674, 986903970, 711208851, 775383577, 103811960, 970758398, 653258272, 881615486, 814061201, 370387249, 927350780, 500785062, 106392618, 182748157, 565906625, 349298545, 995103086, 256026685, 904506839, 91938792, 183206876, 761512671, 939977750, 717005214, 303290321, 55178411, 908282487, 713280252, 1063669499, 541626502, 1022771925, 200025905, 879788867, 1021004184, 668953973, 218889670, 391702497, 26754507, 630208287, 960194677, 302385758, 484201484, 501364174, 468871043, 388081581, 478192602, 975339396, 744997863, 636327066, 744370393, 89327848, 736485736, 428651686, 179435534, 119352715, 743090823, 892990206, 989438806, 6698128, 193727444, 300074538, 671115456, 76200381, 710248515, 878858474, 980391969, 672546949, 296076992, 1057430182, 914562350, 248964177, 953113027, 737484880, 880673998, 322812572, 673992721, 333163889, 255565938, 48600434, 142462908, 939605592, 929604149, 553301711, 882674220, 495721449, 186358530, 475593251, 583199916, 592887985, 800486222, 569523715, 809185264, 104571023, 293208299, 859122789, 214703587, 602344005, 498229521, 27386848, 45525460, 284951901, 526084157, 335170200, 830928901, 244908649, 778711056, 274121517, 747237282, 931627770, 747001216, 53838528, 244327440, 994060651, 944324974, 842904904, 439510452, 794925658, 493394256, 907700829, 327003050, 883403894, 896230560, 644031449, 914156797, 969615153, 940650775, 224759244, 972256159, 453075333, 775984682, 1034030908, 153701309, 671686253, 894980899, 89494229, 323998290, 881503818, 75655234, 671289990, 20497169, 920582847, 631502630, 981127739, 353016829, 900701393, 556689000, 261687659, 443038505, 332325602, 74558384, 94719479, 631694243, 390429745, 353624966, 583897792, 196966139, 1041725623, 327212324, 221202298, 670695693, 375176390, 1059323288, 724136647, 121610165, 473709722, 994941313, 401989005, 250524557, 246323114, 971382565, 426150564, 830551526, 305308440, 388177853, 500138396, 363426535, 636542917, 398838912, 247429053, 329909514, 938954944, 654412452, 820425411, 732930326, 838040966, 614353113, 278613984, 80946213, 311581705, 947392995, 841209218, 311080012, 470179357, 173398036, 999302516, 443802434, 886000875, 181759791, 308477128, 1058514557, 612931214, 281990501, 270304189, 307663266, 527008943, 225700381, 162323679, 84092654, 648104191, 1064049876, 256544127, 601631089, 952560054, 629924302, 983879780, 899468656, 963983972, 849014090, 942420873, 1038716861, 540864857, 463039304, 589116648, 459301278, 878199402, 420938080, 559520424, 902988858, 737503858, 118111133, 436601607, 872208912, 1059558281, 678140189, 115892807, 275187840, 468452646, 846163164, 878573605, 968675274, 793835760, 505691060, 789771423, 707134670, 90864964, 497790316, 863326326, 86663711, 61774027, 872575644, 295160548, 354732064, 693451231, 493908542, 537551824, 458665975, 373104308, 24177781, 27873797, 179504373, 570881652, 900675677, 939465036, 697370180, 226205934, 425357991, 698041329, 931284237, 821662555, 897940455, 1043899117, 50139619, 208685921, 815761689, 693071552, 617440014, 321607137, 1032177467, 874643750, 56019495, 672751011, 467052138, 340314609, 417703491, 621406555, 884189762, 139258231, 804307186, 940255660, 675166968, 394077550, 360461546, 971859100, 953879334, 336430281, 254011614, 197567912, 60736257, 695232891, 320717805, 465512760, 1033956628, 93547636, 786612263, 294097651, 349334300, 17539902, 281612119, 798556042, 639249162, 524814264, 934170715, 790592818, 588932710, 46821546, 789126938, 765825802, 1005333206, 616447405, 268065527, 965555747, 1043069177, 440862041, 159649448, 524585562, 883539847, 451200254, 459498450, 555960687, 91617772, 649909342, 739816066, 717758203, 687152511, 241081208, 400487656, 777846405, 107219653, 542106101, 408651680, 432216278, 532494730, 772095522, 422808898, 529667099, 362702013, 864194752, 1063176552, 678199180, 448446753, 232704807, 248171043, 419080435, 261672440, 205632294, 943502568, 797539552, 175274024, 334691831, 148073566, 14858797, 655162758, 3147018, 1020927977, 420820320, 107830782, 71278505, 1024675308, 714723322, 6370915, 491275766, 974077764, 139265741, 520727497, 145695116, 251140181, 322846799, 1042467379, 650562029, 113681737, 84358922, 437092936, 868674823, 824114653, 870719926, 81951666, 668287499, 959614819, 119467260, 699977103, 161085713, 676828839, 844023206, 297190065, 1060260800, 742376463, 472658287, 732531645, 379915484, 242108471, 58341565, 674075842, 846742388, 913982412, 867611284, 923247269, 313869451, 484288987, 162568299, 159779011, 863261288, 270576672, 41230975, 759648942, 909712172, 650501304, 789345667, 582325946, 473087359, 355556358, 772147036, 53540695, 548824488, 1042097777, 476405836, 173242896, 485747006, 478933276, 160710195, 665803008, 405303630, 893518887, 528212446, 655609284, 339898577, 627621587, 899645322, 571310586, 893031060, 795617359, 754380835, 165601403, 76727617, 72955640, 60307482, 27193692, 134158304, 427913828, 57857297, 1016694232, 543231765, 383048655, 415243982, 100641316, 700436142, 174259714, 570107461, 979503530, 310829996, 817124238, 247322978, 91031212, 590416638, 99652475, 860478330, 274005853, 478668920, 453849540, 494418586, 284909866, 180975601, 975892603, 910213242, 675395439, 532101125, 724807329, 371384919, 781992451, 572907661, 15367454, 377616276, 819499691, 356388267, 155910791, 252351878, 556853309, 518022628, 851318103, 538535825, 718560792, 391038424, 651533915, 124503628, 661746158, 18121988, 1068293475, 933850623, 1021963457, 627822438, 241364803, 656238316, 1047541108, 990732145, 71340931, 63977648, 293784333, 966610987, 710207599, 209274572, 767852826, 1011830112, 299732751, 84291983, 1025614914, 101890028, 311254786, 847831932, 643554529, 507686922, 150266029, 818049592, 113822435, 341334234, 680547921, 167114984, 988523815, 103487347, 83317594, 439240966, 336162066, 15539636, 32367951, 891051105, 439067475, 408648433, 644986405, 189244679, 768317603, 496605540, 560423000, 260318182, 526138356, 494066287, 1036575259, 164300493, 111279814, 836461954, 263075120, 754473700, 841052934, 305018675, 65118574, 154832805, 662546951, 157558249, 242296969, 131013693, 908466000, 307709690, 735062035, 931737833, 303670485, 97164632, 482343970, 765735823, 967925976, 693068707, 883104591, 240721777, 401848788, 519034577, 226914824, 532137621, 530188806, 184655195, 81383240, 656564552, 325137049, 850777058, 665030722, 466789100, 119419513, 998969638, 179777737, 259881478, 968036532, 886331870, 28721488, 899789281, 136735448, 254129103, 186616464, 783294630, 519183150, 915158856, 443055530, 500633736, 311750406, 520821613, 271995582, 330390797, 602927931, 999096966, 193471755, 971423043, 14779724, 633385925, 895432252, 484356648, 979023369, 529004774, 665840725, 527128419, 106776257, 882370792, 375809497, 428564931, 285960002, 6423850, 1058133959, 200622231, 247248222, 397313664, 298560392, 148791664, 797860535, 202785242, 1052853959, 293558968, 989618719, 680287691, 1026622676, 189251976, 440351778, 130977384, 93670760, 904409870, 588139953, 772496015, 285076809, 913022399, 39097830, 502271945, 20668631, 1031496731, 633992552, 562986104, 732826787, 144637342, 1029337543, 652821782, 650181391, 449356520, 707748874, 488280943, 701778982, 872069923, 131128726, 927945150, 508613907, 647228281, 701479286, 583904148, 229397814, 563807150, 221688891, 119590869, 934909270, 691215896, 819061597, 165290238, 725714439, 36294618, 776321089, 548471601, 595165900, 946747988, 231625424, 411440534, 941942906, 242881353, 282795027, 61583225, 1031951082, 836377557, 25488466, 662876228, 796863602, 1067310071, 833974494, 611056922, 174161143, 375030966, 178444651, 1038551656, 135989542, 855337130, 1058843777, 124464073, 642307941, 565532420, 187704506, 588645475, 551591821, 430632122, 663528681, 489624105, 393108791, 824084759, 799914360, 63810233, 806045688, 818191243, 370332758, 544761009, 187270591, 549298907, 583147525, 439953167, 1047311445, 654555517, 571199898, 531057943, 645669227, 947431554, 281795559, 205349840, 494185459, 308897223, 715340123, 470205038, 612689306, 523813882, 159666745, 161251516, 802139817, 680456777, 847027277, 484136480, 63790240, 187942722, 853657128, 534878497, 972251873, 51819789, 800453816, 930681647, 24779709, 807456586, 152940711, 337850986, 978906205, 47618730, 883676652, 2184352, 482790138, 703717577, 534870753, 208102434, 507500955, 374014473, 691437788, 176867772, 377754261, 549115782, 958958814, 211534552, 673211531, 479603229, 222187379, 221903071, 725655130, 53172702, 918937071, 721164323, 42914497, 356219825, 1048578299, 566186425, 1042855809, 289170669, 692882757, 588463007, 344633435, 671547748, 947218455, 958879058, 444219338, 745951634, 482844104, 113834301, 404192471, 65721246, 394340990, 589725571, 877722198, 754991139, 46299418, 973133879, 37643906, 27682450, 339965613, 393088447, 743254070, 787923049, 178209586, 114051765, 531702043, 857894289, 151172738, 30684193, 575455172, 1073358619, 928747025, 88793800, 213177518, 583077610, 555261175, 7587942, 482781385, 263518899, 285458858, 637239523, 583280014, 980234592, 731867664, 330685523, 360598579, 241813337, 970080127, 212725529, 853751957, 826639685, 1052011941, 68430317, 922396036, 279949830, 566571058, 268284686, 440117354, 828280213, 797618154, 381301782, 380399035, 571310391, 848092119, 189694400, 209731688, 1026777807, 784720979, 571198784, 1060983574, 866080121, 724240338, 202783145, 714249441, 158198574, 733448582, 767069983, 876189339, 465826504, 892817639, 669274337, 516686203, 578972609, 936630831, 355930789, 959450264, 534497825, 249957349, 702506411, 901947606, 766100550, 587260165, 158809950, 651034489, 477441956, 566266360, 975932273, 478029209, 380056112, 347844669, 931235352, 925287278, 429481621, 616904555, 832639722, 401540809, 564341904, 415413751, 120449074, 689593676, 28627989, 499841569, 506607140, 279422670, 540524616, 283792739, 461474421, 337341388, 431308415, 133357034, 787915960, 914359336, 733141382, 377414311, 670849690, 42762563, 907746807, 566495310, 79530557, 1046338779, 810132989, 140439907, 1063000669, 259889509, 726098882, 184575186, 157114939, 507562717, 837774313, 252811748, 834022431, 597018111, 329517017, 1034333462, 929936293, 1051536736, 240492925, 833231140, 322212851, 238169698, 384460925, 544670978, 530149641, 471775065, 318161211, 409078950, 941534608, 738814636, 347328020, 276561447, 191239261, 803551050, 39954927, 571092401, 760091230, 655009570, 883560267, 99086767, 926362088, 910805941, 117753913, 1023354505, 223257907, 422757702, 610119712, 720773556, 1034901561, 706709019, 142320994, 320865788, 657942768, 585744338, 123263568, 105859775, 866006782, 886391481, 577993329, 37989007, 270387062, 748163166, 104624173, 33596456, 580909525, 741428097, 327692572, 878395115, 951193580, 649595600, 669365649, 860578400, 511828666, 1030218529, 15115162, 319197383, 897186832, 317697609, 977148724, 662136311, 250750739, 53066547, 838916668, 486356564, 816391435, 461904776, 707305186, 1010299328, 102825517, 555353344, 1021652231, 186256316, 32366592, 23567060, 53894378, 601492573, 91212853, 894056100, 436863705, 452580089, 468893326, 1059150501, 75888480, 73348582, 471261808, 241890352, 857856904, 77743056, 1026592806, 570576392, 247301710, 719940218, 356559469, 686753790, 394985058, 715852587, 1022178321, 1026416860, 530186173, 165926497, 1056558170, 381469219, 520502755, 537461490, 234820092, 958196286, 934332008, 695734639, 743839988, 189168427, 270834974, 578434340, 214304880, 151350645, 692203051, 405147717, 939695853, 734075646, 367361500, 554913145, 161242799, 936484403, 126576006, 146684216, 579578427, 1028281582, 955007983, 417953122, 138203071, 431905675, 257145724, 688324568, 686246566, 751982803, 922000583, 30797584, 40288086, 851251069, 515917270, 99575209, 593791723, 531648228, 107174167, 208561066, 525832716, 602330196, 712734875, 336637068, 356295992, 532086133, 17216022, 279114810, 969608613, 608800069, 799168653, 310324473, 846641115, 392602764, 562813212, 446335062, 745840110, 98397269, 462986950, 969557212, 151628131, 491880576, 751790797, 1031091788, 98208984, 993012984, 1032856551, 1004995020, 589028055, 562150665, 493031694, 651344074, 512130763, 224046906, 517756752, 994047861, 1027836921, 245417109, 216473159, 830629221, 1026963616, 715059245, 637637040, 602186047, 905759869, 961504545, 1057950461, 440638010, 549676149, 456817719, 149988514, 744894378, 609590741, 722341893, 919425212, 378956351, 643039328, 309083076, 18500333, 218415049, 41099074, 118906792, 1033474186, 699897621, 940261792, 271859318, 147807638, 604069303, 476306048, 585443639, 781325595, 56610608, 731179813, 129839525, 314187144, 222361328, 317803110, 674700944, 299517400, 639283604, 282785887, 442524181, 622021299, 628942490, 501700429, 881181220, 289566953, 746102483, 86301731, 29881667, 640474513, 728665263, 386845511, 37332776, 400461616, 771622962, 703023428, 784608466, 685999688, 324474373, 965862722, 916976826, 43104346, 60765985, 1066280343, 948847245, 1017184884, 151615401, 524193378, 253854698, 622060940, 533767559, 544216165, 770585877, 669891056, 360728676, 203075645, 12264254, 912646404, 87244775, 58303799, 496867268, 608715665, 282683280, 503980365, 199454540, 482272057, 493916516, 881778013, 1042427100, 447780770, 131698173, 429860299, 974255182, 513243142, 484329746, 531493538, 876708725, 735192479, 712197957, 460461279, 398671830, 637670126, 247950628, 639798564, 794919489, 777962671, 821245355, 671663467, 186284799, 363316326, 719044616, 127520516, 915694523, 547501253, 386770397, 120809349, 930407631, 294169089, 392169711, 964132723, 884921125, 597720553, 887203049, 418533911, 291458272, 975998399, 764809223, 352193826, 1023806782, 758827562, 255408739, 604578761, 54868137, 464674950, 160431883, 639810065, 1014646407, 654743818, 738625995, 373784618, 774925640, 78102301, 943247920, 461408261, 931556975, 605228600, 907641197, 705869216, 387219248, 1010235844, 985762984, 183736193, 5342699, 911853514, 731426679, 150903593, 947137016, 613032288, 487884263, 823163694, 552085987, 618052497, 167468524, 91586144, 738381551, 594649565, 135893121, 562210713, 706237783, 275851950, 40621394, 142207910, 777972708, 751638250, 960871381, 682279057, 142170356, 454049073, 358871599, 329217637, 518797889, 457195944, 397058706, 1054160321, 332376521, 539751185, 597846049, 177095135, 128954043, 355051368, 209634757, 604677137, 222778871, 1008222257, 392554619, 469018739, 33910528, 1008114871, 159362407, 440972754, 907458343, 382821479, 166974544, 546822102, 393873574, 568830131, 495106088, 579845420, 352996213, 521209491, 438032727, 335959035, 105229846, 818386933, 122656405, 774581678, 822185683, 454082966, 301487311, 884870611, 612166213, 869935149, 655464977, 942399443, 717869320, 578380855, 1065153325, 69041588, 571985698, 674895931, 613669081, 65458567, 66364667, 827995082, 1001716294, 632624305, 69175423, 812692603, 446620303, 829250909, 525726752, 576775353, 377825122, 870750235, 564533390, 287358174, 431758584, 194922743, 437350806, 559126809, 23556752, 706783619, 440851627, 29563109, 736313107, 320953892, 807101965, 994366256, 666781421, 908345539, 781438738, 22831718, 822886337, 1052338439, 688604456, 563944697, 732823766, 761914442, 1000081486, 7828715, 145006481, 177942801, 839591362, 295431207, 540882697, 110483211, 167455708, 316050008, 146273254, 537703497, 546630963, 869779691, 412833231, 605924984, 408694532, 436043003, 827777441, 149517274, 668262710, 149992442, 968503161, 273869826, 681049397, 755511096, 76693803, 960951682, 778773967, 612094327, 196180825, 195256267, 393270539, 128399409, 498574599, 681521706, 638173921, 762227139, 201662136, 807817524, 619685896, 226871031, 201200776, 859445815, 992323645, 560709090, 1029685922, 510166348, 661520095, 558811859, 286306310, 843210299, 502671561, 616605764, 206367354, 249242475, 561886119, 4736344, 682349855, 260209225, 47579400, 500350127, 90710360, 19563930, 233227054, 943845096, 805841362, 557824620, 1004282749, 363132122, 592617603, 1034623221, 64086921, 552014315, 310636449, 584999703, 338243538, 637781233, 412156959, 203187112, 44761673, 340311300, 301371518, 878473589, 526784696, 514414166, 530538897, 910363998, 604624553, 804097823, 995106708, 672048739, 877992601, 565866422, 1018214714, 491964381, 133661582, 346425561, 547450088, 453176017, 22580494, 974148104, 1034518560, 781750089, 962164942, 405106933, 715343714, 369610368, 797540948, 710729539, 612686545, 374693537, 490407439, 723043789, 156876790, 374264568, 15423563, 319214806, 972452943, 969047206, 260061423, 22646503, 854007522, 675766118, 493884447, 106783543, 675539923, 921411408, 1058697433, 526783408, 133807035, 81544065, 589208304, 996558781, 1004021226, 320851533, 315572126, 901525603, 664336544, 958974599, 21361039, 13264154, 411036886, 119396798, 171715897, 1045019975, 772320606, 966889968, 1051811869, 611400178, 18426555, 805999047, 707938609, 77593706, 419770257, 855472242, 527748893, 576962510, 576445937, 74024020, 149187587, 319844387, 1008792965, 621459052, 657910024, 531617402, 516816022, 75397117, 294245877, 1052896859, 150182192, 365783757, 765291942, 981194115, 961737670, 154904159, 1012871217, 1015700470, 234487079, 799730908, 270426855, 38873098, 930126440, 547709955, 871914690, 515346617, 187960342, 707320729, 559428439, 657211682, 495595730, 110685757, 190201627, 504364698, 71861235, 285543474, 269442940, 397965051, 808278134, 893747964, 950901794, 158715496, 107201155, 793557844, 227149579, 776618053, 812110792, 93300445, 827353112, 876841212, 500873400, 819096663, 141409539, 1007280753, 900194001, 41455027, 665673845, 449956817, 913661941, 510645278, 590862526, 804605442, 987906703, 682971190, 786580251, 912066904, 741614969, 1013795355, 935295341, 375475940, 918785226, 490553803, 299120840, 518876732, 945583080, 842373304, 978229198, 667213076, 352253746, 316880914, 241185953, 44441622, 9246420, 929576903, 206462911, 627516051, 578079512, 795739860, 798182738, 543151577, 656632429, 14846042, 388667026, 657387309, 804068126, 952022186, 1070608954, 843183745, 133391328, 122857414, 819019671, 710262142, 336157802, 433078044, 387431172, 363130666, 719825179, 773401169, 423828553, 971668138, 1069967333, 500338077, 891972733, 981725827, 647913066, 181747002, 344871185, 1048905707, 881885714, 49612565, 87243065, 622991262, 989553198, 47290623, 95750763, 952851368, 988206469, 914097642, 254109815, 590850191, 345598543, 181442405, 334664564, 223086866, 910894439, 959398263, 1019937269, 613868187, 466539960, 985683013, 988401316, 359729381, 418160279, 185907971, 682038385, 80429806, 43492975, 867104179, 283219694, 1005017394, 210874129, 645342547, 540894964, 350825742, 179042666, 442775518, 986595006, 90862143, 225650112, 102335069, 746001379, 110918737, 897568289, 415085551, 981313272, 169799574, 579396899, 1055580816, 254447266, 1060079868, 1000782328, 773966830, 123410830, 277040080, 43126155, 673834997, 714916787, 229643568, 6495179, 371443172, 360849717, 238087879, 313145244, 387202470, 1025103620, 305575296, 7441604, 520830842, 879529398, 938200561, 684690541, 356993482, 102315316, 362512705, 131287175, 419603966, 378379073, 963391317, 275103435, 44906996, 908025337, 203293376, 396509038, 361273981, 778467394, 501238347, 894360593, 520042923, 119508594, 380347222, 317401968, 553404370, 448553296, 54454176, 794663827, 377299798, 935495541, 199850268, 510602174, 1035833954, 612788011, 830782535, 873477932, 835306556, 8540451, 570689228, 61345275, 1031768804, 1003765652, 68478431, 44294553, 386697508, 248413568, 376426212, 790449135, 839317599, 367696925, 1036598756, 321075489, 418186231, 440743935, 1057409986, 428990598, 644501471, 560664728, 645791544, 839527451, 750566198, 910314579, 982622239, 143032341, 541394843, 759503604, 536513784, 316873554, 54915691, 622959072, 737360880, 150845549, 793803248, 413549000, 176330744, 169253385, 884649721, 80636435, 81564990, 1010658685, 81722933, 733357912, 236263815, 297300920, 217500409, 961101230, 253723040, 517710442, 699793256, 669344655, 601915770, 638531764, 776434756, 736100901, 608547985, 721579675, 732392108, 1000079248, 56055136, 237524026, 202301848, 51495545, 66607746, 180202315, 366471500, 164098416, 21491027, 308302054, 256217011, 540621802, 932102732, 714237821, 79482380, 378355736, 925911209, 312336507, 1013351873, 442316961, 503110676, 726874343, 761153622, 966669056, 285671060, 386052834, 202851039, 421160244, 928705630, 431148360, 784496542, 76408589, 345154602, 563251369, 387992065, 848016635, 390001648, 857751220, 299488192, 906899667, 229438484, 612623801, 370173246, 981993432, 143844979, 760372572, 1072991265, 421214705, 657877202, 95513459, 171180236, 507266062, 251175305, 950817726, 1000208250, 878301486, 854614728, 696745674, 446215111, 465961897, 36994293, 498235859, 1054561440, 92357560, 866658462, 450405518, 28725481, 992755023, 603430260, 586959753, 929822094, 503509217, 246375307, 109722000, 590953277, 137360069, 434009803, 764900303, 628385806, 393705151, 272300970, 954079782, 363332997, 736719316, 740849967, 1024216240, 299316751, 917787123, 882302682, 57403113, 695105813, 424451781, 716381338, 738582907, 65354016, 940227976, 241031255, 26348637, 982947615, 845296156, 172978767, 30254364, 837975474, 440932466, 356713762, 614433849, 332481297, 984091105, 120811413, 263687006, 538493114, 728900984, 848521938, 178538080, 972975000, 425105865, 439596754, 434752845, 732571872, 456380739, 535224540, 545736716, 682169823, 191627086, 413513919, 162594666, 637915910, 408237994, 696114193, 879047584, 730085240, 23503444, 2678992, 12626424, 703304767, 229267708, 564466078, 220894306, 789212725, 675129582, 101671795, 598067409, 836383062, 217189907, 837544020, 18776212, 53800541, 486631519, 796350921, 1025213972, 209097234, 587420235, 759592326, 766903780, 491262916, 300723194, 647117001, 1063954658, 632727214, 882741281, 734281478, 334530841, 888822388, 156171746, 851134614, 664688493, 205297385, 480492667, 885317587, 674332138, 649846786, 604988897, 509878789, 985165421, 341501495, 494025848, 869697031, 655352147, 767429083, 566689492, 174946501, 59143770, 1033831056, 473821737, 248682906, 385105421, 35066402, 395465961, 320965577, 142091718, 504114430, 618698262, 419172927, 950442157, 392366137, 234638925, 1033284912, 373161789, 418236973, 561794848, 579499229, 552716596, 930493250, 118388684, 366875820, 981976539, 849190152, 695508275, 326920149, 579151891, 1046240285, 497027614, 227157481, 905453591, 963342464, 219348592, 800639293, 783210572, 947345805, 464380145, 660217420, 524969134, 829154960, 454243073, 199336226, 944017176, 29780911, 869590781, 345602042, 716121754, 760470681, 45210114, 560189466, 931324569, 851481465, 723512299, 393939390, 433770817, 507825628, 810882756, 659687148, 33321277, 775928397, 1024781129, 925571888, 698655959, 327057463, 623966568, 454746156, 57338628, 769276818, 143338043, 819877427, 390128087, 213254069, 394140730, 800662797, 809512544, 322384708, 849896793, 330703540, 715762921, 168081441, 976397368, 452325646, 267618980, 1061806613, 284139658, 312446012, 429841369, 686625054, 563127202, 822913207, 957827524, 412503138, 496929065, 943462319, 634521075, 944305343, 1015031209, 175491100, 454043820, 421234170, 744291758, 173985139, 389189669, 41771487, 847002474, 811939413, 355643491, 368105591, 881601176, 645704142, 406156076, 454825745, 577591607, 58460739, 795231268, 934069916, 94581333, 874246792, 593861482, 1065930817, 702740022, 873847018, 562604520, 317093885, 669213522, 85337904, 236858846, 968320095, 903324208, 243999451, 292531457, 24095653, 376827092, 659675640, 314417297, 433895720, 779654832, 953305979, 443325747, 236778440, 1046949904, 515829337, 769715861, 230964955, 561220817, 1042638504, 790651459, 654259615, 553389567, 515919983, 994395537, 289528117, 776245069, 25742972, 315038158, 1058984737, 950654498, 571512840, 729250693, 501765550, 15267244, 70127070, 774061224, 44006255, 945360538, 702017828, 830816738, 634974765, 337863565, 1051702019, 980790341, 579696250, 589000404, 10815723, 3729183, 290656020, 281413431, 136534262, 825899974, 535216131, 337182690, 626807041, 70503281, 815588203, 373737224, 979238905, 802480349, 43847910, 304121822, 637881323, 1009751212, 303116519, 683413442, 421680359, 367693271, 663787719, 402884488, 69911132, 951843162, 89589701, 857568049, 862466905, 299877921, 633513075, 1061840957, 944302894, 586911573, 752308261, 430598979, 225914265, 208925395, 629031623, 110134624, 412122845, 231230984, 821764386, 366741190, 772706331, 428276832, 592079519, 918789403, 436745465, 489315294, 286681504, 361356152, 55468443, 724322994, 396121167, 573216773, 356660035, 522377863, 451152527, 537088529, 52807377, 1009887816, 380036104, 110877495, 811986719, 21669736, 941648391, 32920609, 241840803, 133217296, 534382593, 943116930, 551271413, 215248308, 602854465, 467431280, 799214872, 523855150, 806689223, 177826887, 457991895, 975155583, 427158998, 704396923, 974281992, 73155449, 937091236, 959500833, 199877046, 448300926, 420847698, 83869860, 749137999, 26409579, 587492898, 978315679, 976846072, 936367633, 262095845, 395065023, 996906661, 590292574, 348263730, 263858671, 968412712, 251651897, 107036360, 571916794, 486396608, 330556921, 497980298, 507653488, 403732037, 697031822, 298394300, 635024553, 744320222, 430045502, 928907703, 626995385, 560492553, 392854220, 523309258, 612802875, 1050319400, 737987260, 517090708, 1028802852, 651693849, 728351904, 624298447, 313680085, 728984060, 607285502, 444555235, 820148686, 366685740, 711396168, 632080446, 460736716, 840958674, 205392728, 117211415, 647287402, 788651525, 58071745, 148837332, 241720626, 295103460, 1069755559, 323187914, 533164298, 396340711, 1003132144, 1019623235, 150630654, 145047777, 918967565, 388771082, 998548854, 1051944473, 42172231, 733337522, 576577533, 467764052, 205430718, 419526330, 721445315, 132198815, 274780140, 725604181, 1040073081, 268859820, 535587770, 499402566, 747078107, 761828083, 1028116531, 1014838233, 672453031, 30228700, 521268167, 775365010, 807026780, 179574504, 10969490, 816098454, 248747731, 897034824, 138134190, 417337168, 32398132, 359206537, 672193963, 742581562, 732878899, 1048706728, 60115193, 794551881, 296478106, 958387773, 1014452599, 571488343, 398278117, 862205452, 665466805, 216214949, 987450621, 894602079, 736373882, 240253120, 583782022, 144212432, 986011177, 596443155, 835080688, 647127944, 412513817, 456418061, 93682830, 742162961, 705724888, 366327759, 156855873, 856533826, 255080801, 50034996, 347635785, 48744029, 175601658, 588515719, 458716257, 613586291, 789015217, 860901004, 3580364, 680616428, 860367393, 584557834, 963834440, 773920127, 902574304, 395802958, 1042560729, 679250803, 787077052, 306028481, 777737206, 791836961, 1008693359, 663970320, 464614659, 105976957, 508652079, 327683095, 621908016, 314358228, 701177581, 965171623, 988866706, 34776338, 422402699, 372723699, 378983366, 991572350, 547937821, 693965519, 750571851, 653207524, 987250682, 659962826, 741928770, 318448217, 285521552, 631681404, 509638716, 141899447, 815092725, 644144406, 70769191, 566384041, 664997315, 373659665, 60316991, 832515501, 461870852, 719802710, 506969977, 713604535, 5314365, 322716271, 357801852, 725312207, 678315329, 247241110, 969522006, 118680987, 539311832, 558259015, 792933591, 296347374, 55176120, 74008699, 181948901, 361818286, 624529603, 183688676, 164028204, 131208102, 611138466, 275262840, 95687945, 228918617, 896679408, 609838464, 173576250, 343642575, 79636108, 57859911, 515272622, 871216487, 789567745, 194007366, 967246035, 533313209, 735852444, 152936304, 408347924, 5708529, 8256630, 849075182, 395923808, 340196127, 374044338, 396668729, 968950462, 655782316, 392171692, 634849404, 407583203, 107884679, 353285421, 889014843, 495134710, 894323758, 287770679, 52363560, 512838327, 226523952, 41255563, 970881335, 923251209, 56911038, 1047969459, 977594774, 62544231, 804071475, 539969309, 174386340, 1005737293, 282294146, 212166623, 139447117, 1002834452, 673549838, 911094451, 554713355, 42972296, 201980092, 407406051, 404517705, 944907503, 271561427, 911509480, 28240850, 689793703, 747981015, 321396268, 199796297, 921740145, 566960999, 964710751, 161963189, 79322292, 13316246, 91736790, 515530130, 686798689, 204225243, 781185545, 539419378, 784309287, 695480967, 763844451, 662166054, 45588111, 42470572, 859149403, 339759418, 180607124, 758675573, 631503719, 188598574, 711576206, 824869240, 37539951, 124496161, 421769561, 789714693, 475274729, 548915147, 523472273, 320088644, 444533160, 241693543, 519753391, 989151226, 877655011, 82026067, 217078216, 936961786, 742219661, 325993600, 693041538, 781230254, 1006604717, 207222246, 546738289, 281654724, 92356368, 196498438, 781260972, 650268981, 785190849, 289520570, 743098373, 115139807, 519798790, 676156082, 293870808, 772103036, 733364489, 167173700, 274439015, 1071152992, 311279481, 217551202, 661524405, 343214219, 372510521, 246134174, 421550144, 534854427, 965670791, 849262001, 630836091, 45554104, 939354795, 249827773, 323256132, 863233610, 190871276, 913500257, 535660493, 308367830, 669882507, 84189274, 791290072, 863251075, 639595912, 29911350, 798535822, 885611403, 520640636, 632724238, 953503810, 1008227682, 276840268, 1004564773, 960273817, 156913438, 800680016, 387416272, 835614472, 304253522, 859191676, 704406512, 364213640, 382225390, 988834574, 158188107, 705226008, 321247943, 585052163, 11440566, 30828277, 735024150, 573074791, 121511296, 676976921, 356872131, 314895642, 1054698312, 867441884, 1047167930, 221587498, 915360754, 419270549, 829722861, 653769360, 353343452, 1001561735, 750641296, 370343581, 973148291, 1013767082, 364637638, 274475236, 664335919, 45771914, 721154102, 332549576, 481447156, 680801296, 339607879, 43449291, 161180224, 641135029, 1069739904, 701860034, 895304561, 556336114, 931510657, 528113871, 75560247, 102547086, 907133506, 1023599585, 126666427, 727334360, 961421153, 15193710, 830728081, 81119273, 190182019, 864912165, 997203248, 410116777, 788295002, 1047260517, 326832675, 15753255, 450176433, 1030028441, 812261920, 841857376, 927255271, 688121180, 422605099, 66521517, 715267255, 583833071, 379403430, 1034519933, 1049900450, 64744977, 710628415, 720436229, 686187624, 823296348, 983734370, 245940006, 1065650873, 60823872, 1043140421, 1019185803, 228246977, 248234786, 440144929, 1056979272, 172243292, 1010089392, 1030434452, 210007719, 26279109, 94795889, 380892876, 303543017, 660330536, 53017176, 526056899, 616337926, 617506500, 853589998, 464190034, 990698322, 214546567, 63605154, 422671683, 28613147, 288198441, 557429088, 1039827737, 573340828, 911737159, 411359053, 419795362, 941882217, 54402383, 1071048910, 593201010, 1013250771, 294790664, 923030972, 910919472, 290962554, 125223607, 192119408, 732262993, 966874999, 529863145, 399140660, 75639769, 490944646, 603806961, 418424459, 121408708, 872487012, 311115381, 157504643, 576111259, 359734270, 916620652, 908929819, 343082754, 874008171, 683148597, 21129539, 549639306, 959108446, 314971907, 209636874, 1037240640, 868368582, 257485844, 820963539, 613363448, 479858609, 723773868, 718422046, 635007379, 76264783, 743234916, 1033275050, 533990195, 476505990, 791249665, 962362565, 398230663, 534140850, 535997815, 264308220, 8737003, 37374290, 119619568, 995031383, 290208236, 201189024, 41515007, 497028109, 775591673, 531152681, 598073021, 226117528, 866094025, 1038583819, 448876036, 389400827, 917745659, 53526708, 33242093, 592237064, 861384001, 520777388, 594555993, 1000651568, 203681854, 729586794, 647856908, 462306199, 93595449, 922023746, 651422444, 846789555, 217342157, 509550547, 889525760, 643357547, 281423343, 977803049, 263808425, 658314467, 320541756, 353921846, 685043426, 173925655, 197896007, 1017497057, 550293243, 890355844, 767211969, 1026288930, 410327498, 242404685, 974111168, 302978783, 647952107, 955313960, 811393412, 194881752, 335589868, 792389910, 321044807, 862899392, 17706835, 884590577, 353553622, 798560666, 715296166, 635410683, 738814176, 910958955, 458430931, 100321383, 340146960, 282152519, 454020102, 357991584, 6565530, 280855797, 158493894, 593847827, 816448220, 34043019, 882053780, 958594835, 1072323277, 726534072, 50110805, 271962524, 842638785, 114772690, 184497637, 780086045, 127607759, 570346441, 463600416, 270678520, 437423541, 924239373, 989477179, 220898949, 839408630, 407043839, 771054650, 978026604, 527064168, 752982540, 643108911, 977535560, 296918329, 721644674, 958107490, 180573059, 403890725, 1016461757, 727031226, 1033126333, 359269028, 312912112, 566043983, 277345972, 430405132, 807978318, 713553952, 827193220, 377574456, 494121174, 91377439, 839979055, 284777733, 573161655, 1040412933, 818001809, 1063055078, 449006975, 228510666, 428476866, 436222873, 526880274, 22073051, 817776968, 925499227, 734422415, 133121690, 341185006, 869632710, 935846996, 113776622, 936587433, 798907188, 811337183, 995803407, 706430078, 54477646, 545114670, 935355953, 230980752, 786440281, 597469934, 1015115657, 311874829, 69064247, 1028364757, 987794068, 452626993, 972397134, 739474904, 480594166, 527095639, 32333079, 470582772, 684967321, 677975603, 422847966, 681229955, 1006377834, 826759041, 653319027, 188041466, 876965929, 603935007, 453196774, 105180509, 10866107, 97360586, 86104842, 597923821, 191932483, 588634426, 650533372, 319650382, 129807214, 403458170, 513297268, 633671891, 264273776, 302168187, 774820177, 1029363220, 567056275, 164741248, 880054371, 64946052, 2754662, 74810764, 325510509, 296892025, 823005763, 322239623, 273769578, 676867760, 463113742, 526609920, 100052876, 357118716, 828802617, 463157363, 501075330, 679333619, 170923781, 202586803, 684290588, 893482238, 609248380, 52604391, 1057808642, 1066706908, 628352615, 978256442, 308940707, 1010470814, 452667519, 842365719, 137016307, 964525399, 53175847, 459484873, 444377606, 101755394, 378919445, 478438186, 301248054, 899867438, 1055149570, 368273334, 761556526, 433519437, 320659205, 941866892, 171397853, 749069732, 591282290, 912023531, 240065233, 87972137, 539394740, 95445504, 81476382, 882657106, 139896634, 882675741, 695303853, 175877052, 432396454, 669794221, 641451524, 678112721, 923525854, 919516517, 386529062, 125979258, 1016418429, 246474849, 781585353, 920401377, 781421095, 631412581, 793072332, 478169506, 968763345, 231739402, 975371319, 994792075, 127555289, 880962967, 432837526, 1014930738, 2866886, 912183770, 39727383, 450111896, 538882668, 250746446, 971515196, 48622826, 176201380, 22643715, 43823854, 412174103, 650242997, 681884312, 260705884, 323822828, 164874508, 631237863, 994552945, 998359873, 310157052, 891139364, 17884641, 27006768, 455816546, 172319880, 585717807, 891640669, 75511343, 851149792, 440925115, 702865308, 965894901, 724222977, 403395633, 595068852, 378326500, 908507141, 343571979, 288410878, 219416280, 340140672, 822382448, 720712569, 458860196, 848591134, 939292219, 595126738, 844205970, 866312492, 571322635, 257488289, 505353359, 231006238, 83696574, 120067830, 326389694, 894578291, 288602652, 902031024, 205927511, 548008829, 877843487, 73605348, 978459418, 623209756, 539955027, 294912069, 408579772, 871370309, 469987207, 459890490, 612703504, 515169490, 1009956296, 911657310, 67632373, 30973511, 413932555, 101616590, 1065856410, 1027958081, 73257335, 24495956, 460336829, 494185854, 705546800, 577379831, 189715019, 821015703, 949273075, 351260440, 410563886, 192464751, 229925097, 445103454, 245120202, 630945954, 735579896, 663429147, 721254748, 1011985117, 115064246, 104506567, 672114767, 69820939, 937025881, 768771017, 969953090, 765580171, 194006556, 489994857, 488603789, 211150932, 293091385, 214645808, 802004907, 1066601698, 540074504, 970976440, 549031374, 728865849, 923573246, 306555095, 538238878, 628057081, 968966216, 1055859287, 414370409, 108477584, 801272908, 421681025, 998956711, 785723625, 658053540, 543149650, 180573204, 388411078, 685925581, 428635126, 148963623, 189799160, 60827755, 697277917, 265694526, 30488637, 14789220, 201914533, 1058404441, 326183115, 709142795, 70423343, 299270804, 731864739, 286576266, 291916012, 27136541, 1062372001, 954615034, 656112470, 1044965931, 127229992, 605748175, 616717581, 35254780, 315375469, 538302391, 869373249, 433508790, 849307665, 141116668, 948871093, 839097263, 585869102, 633725189, 115724983, 502193295, 357635899, 356989248, 820865775, 590974281, 711917505, 755817325, 578164913, 947947582, 735744521, 1024380868, 677881846, 5754755, 719885541, 682138831, 434149515, 120613064, 503757713, 698890649, 792378018, 615363459, 615486493, 172309260, 713782169, 64655768, 546415181, 493849850, 534821802, 694862801, 702048441, 283739730, 813894534, 572371366, 588370047, 895573191, 866049277, 971073189, 186307729, 437978034, 44853505, 954467858, 159716419, 647167069, 423867652, 595231010, 114171794, 851910108, 92648472, 801958726, 330083400, 139304865, 148412896, 345141247, 792126522, 730782892, 466572019, 432461353, 337162310, 540624043, 503991761, 561692559, 1013319745, 160140515, 113646865, 288825196, 166296182, 559476340, 364037692, 850230070, 848948979, 993200715, 232958126, 859048505, 88760269, 9699312, 112664680, 554315076, 989930319, 1001792486, 467233766, 835693060, 23193370, 1045141702, 13894651, 733960206, 965816556, 950407070, 489998652, 787270127, 454738273, 920843813, 847145407, 29152534, 3136388, 806296296, 309339249, 769517760, 424367452, 263365282, 242770303, 332514510, 163438213, 792414047, 793210013, 638369120, 470342837, 25715596, 344409338, 459794698, 812000414, 438759952, 141875544, 548788024, 875362582, 529215708, 56491353, 816264967, 203044097, 350507328, 356516741, 993677658, 142015009, 634745636, 299220486, 89046594, 366991354, 7601330, 830025798, 316905070, 109758141, 618080743, 432823368, 793163969, 216137748, 23749914, 178060903, 897303493, 156441440, 805133427, 92477720, 963691542, 615767006, 859444390, 90167393, 209079457, 578392321, 1013804567, 663919553, 827408484, 396088192, 874497113, 936793058, 1064790897, 295426878, 978785974, 793672307, 999651574, 528534626, 321372231, 822067288, 461739231, 402385850, 1057114549, 504262845, 829858326, 355175925, 16153294, 729835005, 14458931, 109954069, 735014268, 639107010, 689022942, 446768715, 666356277, 767961726, 310625397, 955715649, 318860491, 145743492, 860911697, 636031148, 766449561, 470400407, 264146201, 490101279, 41410745, 512715789, 616745062, 788540772, 305452614, 90208575, 188941440, 109981704, 273897803, 278009785, 981918641, 274674236, 418206323, 389999251, 818331887, 94054053, 457401827, 436727516, 1073446212, 473440019, 787809152, 797040592, 99845589, 838116899, 621137321, 201520374, 53713404, 602926196, 376099785, 648842402, 507042948, 1009902642, 783741888, 544907654, 25778937, 640577477, 363566079, 346706848, 554825233, 846001301, 908282540, 869785435, 1033835671, 506224168, 542826745, 718009102, 296412175, 907599734, 522554149, 395959824, 335886623, 464097537, 416808698, 465205455, 1071596305, 55883899, 149911530, 805586082, 1070407444, 598645088, 836789353, 493641007, 408058408, 970702479, 482092369, 194640007, 951795491, 1001577887, 276907762, 313423282, 501069550, 650020554, 760738141, 286106629, 265291752, 621932642, 953607190, 208369151, 592566665, 959758548, 776840504, 206947623, 1037069698, 811831074, 561647213, 506729055, 914489679, 496155687, 1011293516, 432324017, 1022129968, 979643427, 473398677, 234612919, 42012754, 941255535, 639765031, 214738590, 251580448, 74070217, 739411241, 917627193, 131870477, 219322835, 263272069, 634401117, 1052539771, 389554546, 32167480, 386355790, 610666436, 176257111, 485077774, 85922901, 347403213, 366226527, 124131448, 186285763, 138530341, 680863273, 218539455, 431777897, 398509443, 470178346, 737358484, 923124375, 828028367, 697005827, 682461052, 551127176, 374180939, 688937519, 244054578, 927466367, 388240480, 836561093, 229066282, 662061009, 705551340, 692489339, 240373595, 775961907, 1017176183, 197305953, 104585250, 651061567, 797374196, 121468389, 35509902, 590378259, 60922912, 614284343, 420202290, 254508413, 78564874, 463511741, 404601063, 550683345, 547206600, 1023009016, 547696237, 580682105, 202242658, 27308081, 73877977, 711826326, 572005087, 1015160061, 964101448, 367148295, 215596615, 807117573, 480412530, 431602205, 788812526, 918369771, 674010372, 368541661, 519510298, 551631761, 672670519, 580828770, 230493482, 462626468, 709998646, 79577823, 134496086, 720883853, 35989358, 741016863, 857303980, 545422817, 443981265, 178397325, 353319690, 700241468, 277709581, 636200315, 806866740, 36372632, 249235530, 566192290, 654359130, 714237260, 1006789127, 902812955, 964963404, 6594688, 646391225, 651308401, 633125685, 312437769, 242739946, 215260758, 518936124, 94624114, 743261377, 62669165, 717305938, 151322075, 33603134, 69857477, 654881541, 860632134, 959874889, 186643240, 721596452, 675059377, 501529785, 339969851, 711431323, 505611685, 131448791, 103264607, 545619523, 946648590, 164953311, 846723271, 877715738, 54985311, 253706228, 514286054, 866594180, 969853585, 135745954, 561175914, 797838377, 34385708, 360502707, 397439657, 715213524, 1039670632, 655417589, 66688693, 786090814, 656560479, 681963004, 1013658518, 82638905, 423797680, 655942721, 871117996, 611765095, 245239910, 645419234, 195204407, 626012954, 492412003, 993823218, 400899583, 634382442, 358542103, 1004344738, 582691166, 99758045, 465434093, 973975368, 97237053, 549845916, 543324257, 824147610, 1000377715, 166759691, 160613651, 1008338325, 539499992, 963284191, 831912739, 98004391, 330417935, 48409827, 651022056, 328932322, 84387297, 432961665, 415074118, 810954521, 941226385, 894639603, 599342492, 68159537, 912519494, 140484409, 284239641, 598090105, 252783370, 909298152, 871607518, 310926641, 560413075, 822002518, 193774581, 597599282, 421414299, 770325129, 1037850578, 1039543555, 884224354, 799718625, 208177856, 312967639, 173947533, 1000856615, 1045605946, 738853985, 848930388, 848359029, 985538944, 722971122, 209743290, 475894274, 27130038, 457799912, 748705271, 86811544, 305395251, 811653396, 75752457, 579979697, 1032255383, 226643077, 429907895, 51933035, 908009817, 338566343, 974474397, 626611938, 324340901, 819853122, 848234367, 106296605, 1044985858, 201149211, 207563493, 765388031, 756544219, 494681903, 1052730816, 539353624, 5631910, 628359131, 247037240, 756136901, 649231598, 893095093, 804740809, 856308244, 1072369967, 573088938, 552075752, 135725129, 609302845, 616325880, 653048602, 367321649, 957422347, 38408233, 390744614, 20946460, 353517273, 880455152, 59994848, 787751169, 824937742, 536680727, 673982301, 132187126, 727445050, 627232573, 37795793, 416977823, 315477717, 510937230, 703126943, 269370393, 167029032, 336739502, 805642147, 279964670, 199217791, 839501391, 74389998, 273902405, 536209397, 112159864, 3591470, 561864986, 908577401, 896355624, 177260937, 156425273, 272682627, 62239361, 1034561935, 317833348, 230224552, 804202528, 984288275, 746992574, 248414758, 442881414, 7859512, 1046590377, 52743940, 287752047, 3521615, 594793340, 472408300, 835669690, 238617113, 567878093, 749585917, 578220781, 551795578, 1027891862, 319680141, 386554225, 895443609, 854758251, 831055855, 198061653, 461125741, 722995736, 35767850, 691184826, 933771126, 748037093, 692913821, 386250288, 277734700, 953007603, 890495763, 959051783, 30504368, 193590969, 47469787, 1067717591, 81088172, 300264059, 971813251, 924998665, 407899051, 638511348, 1014458732, 1073414848, 840498046, 506064180, 206509694, 730336801, 682309134, 771617357, 267657805, 494580427, 567856394, 146936639, 32013329, 94679052, 991481581, 455429805, 624131819, 427081802, 1059403914, 900946264, 1054649081, 396911104, 35429328, 245770237, 390480878, 130576049, 340778920, 955851790, 700640819, 894305361, 774205982, 579568779, 925554474, 371967529, 238396805, 944014909, 808105598, 536332847, 24750646, 1145217, 479550297, 255827466, 524837377, 876828661, 457812828, 1050271911, 537333305, 857295919, 242925515, 578573933, 646292794, 152925282, 1014247277, 116933359, 1008715037, 621664847, 581652792, 798393514, 238314020, 311319533, 30248145, 885520281, 879744663, 753972696, 202484886, 789313732, 835271095, 161460490, 782661992, 370024685, 393210881, 370614266, 24269130, 309918781, 560040104, 364463284, 1054582708, 962164177, 652810067, 509443877, 615616857, 184061794, 986842986, 456887357, 178705887, 298817875, 95494993, 628232746, 279656825, 731893268, 84971585, 366391053, 466161268, 551781519, 109946158, 731426694, 961677189, 631539989, 1048952027, 111754055, 677294347, 167686648, 225522146, 526018250, 432434813, 579175318, 223921891, 298933902, 995458839, 715363297, 504323228, 646936336, 455280418, 218604560, 277070355, 978489059, 994246726, 956874024, 722477530, 136862213, 673532329, 1050160698, 975334135, 210838265, 952532860, 767355625, 896581946, 589821623, 866351280, 618294010, 236889673, 180909025, 544501168, 857506105, 735556853, 72599202, 187471777, 541562358, 1005243898, 108674077, 384312035, 682771363, 306113001, 719307589, 1004057116, 584320884, 911637290, 744233636, 1017331038, 980867455, 234684946, 356322392, 309124538, 307356759, 571643929, 648887908, 493517958, 605535673, 653903779, 845660171, 477385832, 821063937, 123551036, 86463522, 464347946, 1039070747, 515119469, 985635381, 1022989665, 591868616, 184778754, 393849151, 258989174, 203689193, 810895444, 909367725, 236707657, 418690525, 87900073, 737731107, 850779574, 752178525, 823879305, 131279001, 281957900, 345429063, 108833675, 272545549, 712393250, 592769233, 942548790, 625507075, 685925389, 568621719, 665971804, 218860880, 563980742, 43395024, 606182185, 315941993, 359737632, 652638634, 863163939, 889760300, 736521162, 697818821, 259729078, 873807554, 428055063, 476526472, 797258339, 860858445, 266598199, 764428375, 940671713, 630673458, 72887000, 447170318, 1005864437, 589071553, 1053641499, 515587493, 228157765, 557834914, 505180772, 635512859, 59883286, 184195316, 874574477, 487739361, 372923552, 156793773, 656369042, 1001993405, 731153846, 10403387, 892905651, 540025143, 109844029, 252793339, 110957594, 598721298, 991820790, 436240665, 495149605, 574785073, 581220634, 962327634, 381159418, 413124767, 496210436, 161555767, 492801405, 804465189, 122563148, 485315342, 489567864, 695404445, 917603535, 198000591, 977870979, 399849026, 363429397, 797029537, 244651291, 115410236, 230765016, 279090431, 107864737, 222918302, 199983874, 947666521, 635405513, 380538725, 818481706, 236075607, 912549668, 690844680, 891301371, 874947930, 823141501, 198889581, 678997003, 342727842, 1000027550, 546756695, 248865665, 522309433, 429538677, 270039268, 220767121, 111297573, 243346299, 157677258, 1035995741, 482875653, 297991051, 810579543, 203948137, 990544091, 205002043, 992812338, 340542988, 498329586, 1045279335, 427325224, 244396813, 447889320, 386233646, 265012760, 925486185, 631403414, 176597006, 138880613, 502702073, 428941395, 443582566, 318584971, 642330032, 875048486, 80837146, 677163855, 1034987151, 335588198, 350095927, 911934364, 39311136, 783719075, 903952563, 188612714, 953267283, 349915281, 191636036, 900415303, 793026765, 718524257, 694707304, 611775166, 369607284, 943435466, 627634089, 122084140, 683402877, 476166412, 58166874, 724642781, 1011315387, 168238391, 854547060, 55558525, 651695589, 658397494, 738958680, 743778612, 909011813, 353700402, 689557575, 126271874, 2071682, 884151465, 514414909, 806252847, 236864862, 958797733, 751629194, 120403058, 880403267, 517280882, 220844032, 444806954, 283098001, 189584852, 52851566, 467171615, 603038632, 935960273, 415728113, 491542345, 511879030, 429918876, 67355990, 908265232, 979382381, 752969226, 899912311, 209903475, 301395390, 519455803, 899480401, 399324490, 382274633, 833928926, 919401638, 568371743, 437509852, 1044838822, 607016119, 421846304, 383568606, 712039384, 358400298, 1008535781, 1062986901, 91521579, 350112041, 473735393, 525447468, 646171614, 516873096, 1059538851, 771176394, 869983598, 30515487, 788377058, 890929796, 545436009, 857293173, 736249989, 1056296917, 487952575, 155503107, 630581278, 87600912, 4970311, 1041266245, 1053619431, 619381642, 735971257, 995475480, 503337156, 599414307, 712158491, 384344060, 541700527, 983254084, 851837040, 295888645, 357732948, 752011350, 635296335, 1052950423, 32065039, 551151341, 229178513, 498448086, 422405704, 620802782, 842800055, 782323919, 291236213, 794420202, 1019708205, 203785385, 986454988, 598322855, 566112151, 87340964, 714524338, 723221787, 367505202, 626443572, 515784126, 705516369, 654078462, 810294485, 676812848, 870063750, 634351408, 376570324, 564909740, 1056221391, 838199520, 288210786, 106454960, 206695332, 544789615, 492671996, 412041993, 216322280, 878183756, 403337443, 291520181, 696308277, 872964217, 35226359, 621995024, 356890447, 915121547, 80056705, 850733001, 943595040, 977141801, 1047864292, 267260491, 239215328, 824868810, 733127107, 736438286, 169931950, 667295836, 855297356, 656620984, 511438726, 857772430, 905795703, 15290123, 1068819526, 954440088, 2818910, 735314619, 756493399, 1073544961, 964477765, 148673149, 306239371, 1039006895, 920408408, 721961163, 776701147, 809375467, 203564883, 49656400, 95681983, 282629029, 509492349, 935293005, 659044046, 851034297, 945026229, 397656119, 978694257, 548487419, 737714622, 873816118, 435635426, 1031873453, 1008449936, 222098493, 678675933, 326722685, 313341478, 933195881, 582872389, 975979944, 501275876, 771644979, 336409336, 921252105, 616675678, 747323373, 491291550, 655434058, 780920927, 942445277, 297043773, 882178612, 1061956820, 102442689, 830083187, 786277191, 790892339, 150353808, 879152470, 764217224, 453129633, 256403111, 706203652, 111925966, 403069250, 857587938, 162722912, 954288916, 164752807, 761805953, 601786300, 166162944, 584872259, 59378205, 969297892, 449131973, 178363755, 605466353, 211581030, 784169575, 505747629, 159532258, 305937662, 575950229, 915980995, 465751162, 936915432, 1050319081, 846828178, 458421432, 918186579, 774130301, 861298617, 1033126376, 979524259, 1031336547, 839849858, 359698516, 335251020, 1024050696, 3826537, 1070937152, 126383707, 98548869, 873558516, 370473874, 233100169, 527429930, 638882256, 863736489, 785285549, 838286956, 351923360, 403287122, 723497324, 815506146, 253653677, 842758162, 57814175, 995709563, 602057828, 839357540, 565809852, 1055037963, 125405265, 960561588, 267474250, 151611718, 1002514522, 967564036, 234466823, 931830657, 775569058, 270619426, 505566310, 257524239, 719000226, 753905893, 536645551, 291538124, 1001210643, 328770905, 735140575, 410137002, 190505241, 299392201, 903346647, 968781568, 1007539815, 617818487, 469338751, 699950587, 324449923, 38579945, 929748361, 705975477, 838650771, 737122464, 502202206, 501017568, 758768776, 436936186, 933109548, 594251920, 674285581, 993727937, 888701108, 937117844, 28573090, 357070514, 415576257, 614348576, 408881571, 951798666, 948434001, 415309065, 454499747, 498498013, 771023247, 15160397, 739392320, 273730556, 415890286, 546985161, 780096823, 114103768, 864308462, 850501602, 696955666, 201064966, 970378245, 911385978, 883779843, 98517892, 65617790, 795181304, 695411020, 65833119, 591080385, 946959132, 686833311, 827927240, 987833861, 575985297, 255535673, 449806948, 713737865, 601461530, 318886579, 484217859, 29170484, 210511788, 9134239, 527933579, 32943284, 689335707, 469025291, 936333212, 925132586, 578562714, 265120835, 585606219, 940894942, 574951732, 586249826, 175749918, 955501634, 67861920, 214472095, 83528116, 497802043, 166917569, 640079188, 737039344, 649711285, 198581368, 392063653, 525173450, 899300999, 817434708, 457758600, 396715472, 1008973453, 494600287, 833442972, 448366382, 583043503, 154443256, 70035835, 701661041, 843614332, 451554353, 932517210, 156764985, 923780177, 485798601, 177416093, 811415165, 587434693, 406163726, 45368830, 901838161, 707635854, 124259958, 89352194, 390806710, 902858976, 331220462, 495368466, 87972280, 381176663, 302579150, 146181251, 427062081, 123284809, 293898625, 595169968, 70324539, 856864166, 168101891, 734062968, 872100680, 881336787, 680571298, 72765747, 112294571, 14133079, 885586318, 858850411, 846136685, 1008564878, 45939873, 158674313, 72505717, 769717969, 897434533, 890372816, 569092441, 161159536, 510099503, 968174523, 151078215, 520068022, 155086217, 555259043, 367145868, 838074535, 711727216, 740755500, 249709933, 256598259, 696798358, 68835977, 5818364, 305212248, 405922418, 630308119, 1028312846, 646442610, 205267170, 769528690, 278805318, 1013478043, 607616344, 183215799, 617224567, 753976379, 713852812, 534212305, 307209374, 647710292, 1047470912, 983229561, 656731212, 235140061, 465329406, 394639727, 292528271, 295379286, 600607947, 115312270, 1028732307, 946186263, 692700595, 580672622, 1015653171, 434259876, 138425946, 924441020, 990120803, 897700002, 888216905, 99134741, 261710752, 465028480, 1058792766, 387695081, 783907258, 936015363, 378845191, 658984340, 702315205, 94275611, 944468683, 806003965, 707375759, 62480888, 361556078, 961417062, 560120689, 124558434, 610218260, 977224793, 640270406, 72353595, 87083754, 764255740, 1052087679, 947036174, 758803653, 51399104, 754308026, 889098271, 463616642, 821671316, 305971330, 200104984, 881178250, 1006795191, 795748822, 692633444, 398766276, 764367004, 380261363, 313846069, 249835933, 86314542, 123842424, 74575937, 337126773, 835551115, 969668544, 491732941, 519786646, 295884868, 591376137, 770440679, 662297067, 963056697, 524138539, 59149694, 754044761, 426999517, 175326429, 604266331, 264564341, 838290987, 459858720, 90190519, 780080984, 389373020, 211786703, 114943593, 499921776, 708763249, 888059243, 823440652, 190029961, 432634385, 383008013, 253329557, 709619837, 1017474221, 969501048, 932078024, 995692425, 175540100, 148581285, 244380741, 915666762, 716542982, 819432291, 844717046, 237811514, 727774338, 639335160, 571084527, 512459087, 269570513, 262258681, 24052324, 349786023, 26028554, 844236111, 70202693, 396614004, 359953725, 140696882, 219055458, 622038265, 1037419095, 586083220, 773842255, 192042499, 629872375, 305606164, 940411227, 624926881, 796265861, 384277364, 337974456, 662963566, 623565665, 1004332355, 130745309, 633646206, 220598005, 33038775, 454444413, 1004297125, 503722589, 845211513, 660043548, 126436327, 808118190, 102008815, 96549221, 112031628, 370184231, 872775380, 2841920, 355523324, 795056855, 850547074, 584527226, 286351611, 171966751, 931993331, 72438826, 733950953, 702484405, 390737433, 377198418, 724780014, 876297944, 129094255, 134738161, 631406174, 466970825, 650934790, 845916782, 453959150, 848434300, 63586468, 483934579, 889712244, 154922759, 731355531, 991896912, 660719502, 287512860, 327252333, 402068587, 688275234, 380705712, 818115849, 383176484, 774173485, 1021721819, 1054478133, 424394312, 470034176, 477967218, 928002274, 554495404, 712763339, 132055308, 498856075, 909376369, 523448788, 832871714, 582060870, 908022532, 320583737, 1015911648, 708090056, 413229724, 905512098, 689404643, 892506664, 767535541, 263668101, 1011408085, 1035442635, 364365976, 714753299, 50251360, 353175402, 431495537, 831111863, 512713827, 655391701, 1072969790, 820377984, 404841975, 689291607, 219118194, 84829299, 357480768, 793295253, 684540836, 1016650809, 202460374, 440902422, 305748291, 962024564, 282348286, 1000091455, 345887341, 693206931, 699174983, 506058577, 903560051, 669748270, 518210433, 63032206, 813338376, 877168782, 368782549, 110369362, 271383364, 991548355, 417035547, 327523883, 278202138, 64431985, 189269454, 57406167, 254671559, 177057509, 885070575, 406271528, 443873933, 161279930, 756455497, 91415332, 705086443, 967757796, 761126905, 766699371, 600770399, 350151824, 566461863, 509497021, 203981464, 631265304, 171086801, 995783481, 70723184, 624906158, 845736440, 988715897, 550693718, 115420658, 976991002, 98532685, 775272884, 1072455865, 709445083, 816840820, 517370834, 611761748, 247774595, 394904989, 41239992, 425566693, 945538781, 901196443, 232647759, 947864970, 674100888, 787481319, 33273961, 680174501, 671710196, 534357887, 616152243, 333204801, 280285307, 772127995, 556920318, 690515193, 314254773, 694008909, 193566655, 150654053, 231534277, 859466920, 474614268, 747790663, 364056634, 499355113, 837862803, 902338600, 251055934, 519561790, 761684962, 662330412, 183164857, 822640088, 980735211, 841455497, 356451241, 799575310, 575773461, 806789253, 670611705, 1027014845, 529553655, 654627140, 234454249, 110335611, 991686622, 361112053, 569755315, 697461417, 1057790552, 525858546, 560935251, 74377035, 590139300, 19758353, 693931502, 1010404282, 33212535, 925068881, 719076603, 607745871, 683456958, 184454265, 379892467, 666234539, 1041990767, 452205808, 468140727, 535123849, 1033080763, 349620698, 202706306, 1067496892, 1003775940, 145008862, 736708957, 729784074, 538517633, 445371170, 554094879, 820711056, 465998501, 141873025, 294905950, 326089375, 63099490, 405101519, 675292597, 643288397, 509237778, 882736744, 513567965, 360679675, 89186587, 406832125, 209041415, 957373345, 94850720, 155419345, 27775599, 16314894, 908629460, 967123323, 13962577, 463826055, 414383456, 1018151770, 723225653, 639923572, 895597796, 658608448, 30813655, 271373003, 796882125, 750918985, 244084536, 157665728, 586340497, 800214487, 526760609, 606864277, 382211731, 25513862, 400116959, 480607637, 609925497, 383013330, 106671184, 606266936, 286866806, 295647570, 926403769, 250587886, 79485996, 868356052, 731762369, 27352640, 312922072, 400052754, 21722574, 229611317, 309104608, 1013164902, 526083687, 321267546, 574282890, 701577415, 302672969, 451806811, 522883909, 803090541, 858405671, 838336443, 1054967904, 238019734, 313359037, 387218739, 460756258, 134464790, 125571471, 709460013, 361646357, 477998189, 97780762, 550931146, 262577313, 505942037, 253061343, 630601765, 1573896, 148217033, 492415978, 513184564, 640745225, 269169807, 592663998, 799198731, 794966890, 302676879, 36301634, 454801823, 776532748, 508834373, 284335971, 919470134, 464075332, 29627078, 151449173, 95561761, 253603847, 1006421372, 452059461, 927654170, 186854770, 370690537, 614349890, 502870444, 167012761, 7216291, 526722529, 81012906, 39315974, 793727064, 162383735, 761147139, 133320870, 623780995, 882128693, 342144356, 891850223, 923083068, 29960791, 156350809, 757780509, 224279947, 658565853, 937535584, 782298489, 755334315, 438868321, 286335868, 437329434, 23189537, 804861294, 188495716, 999138624, 1034398281, 242738778, 754317791, 1047728438, 347831500, 435469442, 248003825, 62740176, 755779479, 541011117, 720530509, 909087164, 831232850, 859956014, 678549303, 335566970, 334591334, 95082130, 555635290, 1016223228, 1073275421, 200657019, 337499401, 537658813, 876924288, 976927608, 499180332, 332906660, 178882764, 779786077, 24346444, 926884489, 763141916, 457782413, 493407571, 891799697, 707399708, 19047806, 35765649, 560522217, 646167838, 63021985, 746272768, 82725677, 734990429, 249909161, 492830425, 256408971, 298936133, 112321362, 304212177, 248464917, 488884253, 224113011, 80918448, 889371633, 881616616, 1072322045, 348806039, 219568647, 877243688, 655527095, 693864593, 959438983, 788217593, 116080867, 569937463, 530233587, 793634482, 862914596, 1054697177, 604724873, 697761466, 415097304, 1065027546, 373179305, 157147310, 874255167, 360276115, 445959376, 12632454, 285396822, 353086209, 1040593150, 392542937, 758010967, 617745148, 895312618, 33511504, 274907400, 443764993, 62777090, 371619863, 17466951, 703918010, 543463571, 781202893, 472772423, 51456123, 289805432, 461353813, 802411645, 231341776, 79889117, 732502492, 175663115, 735958597, 31642269, 945854523, 163732828, 1038332880, 889573564, 29359361, 976811762, 902673707, 811399241, 450937074, 540163582, 636674434, 792002050, 86493499, 331004289, 512722112, 609502085, 743327051, 257674270, 739233582, 270135725, 52707793, 668129125, 369314466, 615100627, 413765404, 1040018358, 80107836, 673120643, 751780326, 768242877, 88216731, 207716425, 303625611, 928678059, 269875921, 644754985, 1003338698, 1037306015, 358138103, 123190144, 251038365, 173273666, 476688559, 725212104, 971277548, 609351143, 183749471, 897385394, 39700733, 858290666, 203115965, 919289711, 377620944, 278630058, 526491040, 313278762, 686439506, 409435874, 696655383, 790728014, 67173477, 808946344, 117459038, 903664330, 854366685, 925475287, 739596202, 336733775, 297775603, 581462553, 286723531, 409497481, 457893095, 32336395, 895888176, 977749220, 482501615, 717929398, 39621653, 986325579, 443204883, 899538708, 178543983, 344439455, 190910532, 951540268, 343593624, 577230882, 356009604, 382194269, 410200511, 300403656, 277173097, 9571353, 1036854713, 877472112, 842026083, 487353985, 30916034, 169981422, 231045979, 364517847, 435817168, 387834790, 441470158, 210775029, 1059564645, 272038318, 969857131, 645657699, 877312587, 78993294, 86655762, 791882627, 316244521, 665511359, 395929313, 337436151, 479822852, 37055930, 200335141, 283861999, 189330567, 479502018, 263586694, 488495049, 1071061057, 919913546, 353445297, 1012754760, 180663517, 500037412, 596500114, 598223115, 761022688, 22099184, 934186939, 843228665, 3277973, 47337606, 715571369, 1008495958, 169605330, 1009951234, 57954684, 944143478, 907948765, 210875372, 302932047, 347887364, 144501535, 877001254, 1061243892, 631586699, 983045175, 839258624, 835898997, 496017889, 614639047, 420989000, 850570963, 817528280, 757656157, 253114813, 846235470, 669737101, 171107033, 214174184, 674117250, 127974743, 1045365389, 379785909, 743057381, 226531955, 974380740, 634886514, 659683108, 208665413, 217683123, 107881312, 801796675, 1062949894, 464641054, 140080408, 923585732, 344187042, 441145051, 1046368334, 863232768, 11063065, 929417835, 1038559806, 406328676, 974673886, 787946809, 1064066592, 841588590, 742893535, 554715173, 796252522, 307150165, 590259862, 488062499, 154330636, 306960418, 1029414287, 298118818, 287034488, 459571075, 1033215786, 943565156, 563377856, 753295452, 291322882, 127261255, 891346231, 119370134, 823614164, 738861249, 96429313, 101519722, 748555745, 6078994, 13322076, 232164753, 943057705, 624947013, 966240655, 785887884, 78283711, 946010509, 382920589, 108385154, 876230932, 999656670, 949356860, 158179413, 601588417, 920430807, 175408038, 479486804, 470137778, 852531624, 281899442, 773974315, 816761529, 489196148, 821196363, 834488431, 1024488225, 243434852, 791796796, 890329239, 459732240, 369821505, 463005848, 584451075, 338440778, 822664546, 281554678, 963336179, 570182655, 691936, 617444411, 198964887, 13964335, 411885406, 665668815, 40226938, 377039136, 201774298, 71776076, 706586333, 331688706, 23446205, 363778021, 436808163, 298553209, 526431575, 1063771194, 721551772, 330269665, 116676642, 876317390, 243298053, 599091417, 849928738, 1038158560, 238921712, 184680182, 936058925, 645621999, 1034778537, 82352423, 760889778, 90195238, 854209451, 888186089, 7264839, 361057507, 987216810, 175881058, 48132977, 612177159, 551877533, 149745552, 962081639, 865573027, 257931935, 489882606, 149489204, 947683021, 25446859, 206433668, 525013818, 215050134, 41255527, 985255078, 173290114, 926956393, 581642662, 952293964, 102677985, 653571864, 1048569790, 919798528, 1023801454, 325176284, 679196401, 258058197, 126679698, 142352220, 152049936, 566000433, 717120245, 201674866, 530994956, 680987618, 27986685, 849485449, 687073664, 539560005, 8510231, 329794013, 588147442, 730618079, 713893251, 606198620, 475385373, 1053653270, 617503043, 302011743, 146059795, 617758706, 158932685, 172241847, 161004237, 1070207699, 685775575, 628196740, 1018790095, 89711010, 760476456, 164425537, 180874072, 726669847, 444305842, 770079937, 1058049152, 969375281, 929253493, 1056378346, 566828473, 166951485, 9405373, 861646758, 748641811, 834883321, 866494961, 735183243, 773907000, 372123726, 751462910, 552709804, 985445324, 939845935, 106822281, 460911612, 387639084, 253086988, 222857004, 958993197, 1072146299, 485117267, 290939393, 102175257, 572280580, 200110605, 525544028, 977207402, 886133965, 803342211, 747676209, 815309875, 353476996, 780066124, 47660599, 206111076, 683537464, 92395, 185205769, 222731348, 21054391, 546434345, 212361642, 216470454, 556194273, 1004810201, 166004290, 308433356, 318649213, 918659071, 137975091, 472549655, 269536128, 897917685, 193329217, 353762412, 238714099, 813154974, 546880383, 160332616, 669801638, 865331293, 846345602, 512283418, 775560954, 1055346065, 47823908, 498063488, 135240058, 167744303, 787824162, 766093464, 401567594, 54963412, 291603419, 967642690, 1054419489, 506810135, 169323648, 703392690, 172245992, 651706419, 122551614, 948944561, 165597176, 24034135, 480208021, 72489492, 994484918, 240380954, 473992545, 906231865, 686745622, 672327835, 39886684, 694521543, 571893342, 197231492, 1035540842, 81782540, 59926969, 919129962, 342106024, 963525952, 119823428, 506668809, 359001266, 551064048, 702734440, 208229919, 392987316, 580228081, 352094237, 277966246, 225563488, 344494511, 769888981, 372633117, 7534782, 869415923, 525400124, 76107906, 868426407, 465981423, 677984216, 141413622, 418226970, 534771149, 420469826, 637775837, 292204528, 249878826, 610980111, 978447556, 328182290, 53108864, 674759596, 413110657, 31946498, 629711061, 615459942, 693309204, 58387239, 600166838, 75464153, 578831469, 974267651, 165488368, 358149350, 1010296671, 267651263, 784963986, 993044904, 48433520, 88325116, 836104068, 916389435, 364192959, 792153361, 841648922, 777047239, 766144903, 607090564, 366994722, 209978478, 490916932, 1072061615, 235482654, 714321885, 635832694, 843785437, 250543139, 559068608, 431811204, 155439272, 326132384, 584103926, 600432034, 913340500, 839226150, 639280356, 1025340616, 976936803, 330156958, 371793137, 828196237, 135434471, 46461356, 755035674, 473436410, 281501734, 927059148, 909593813, 442275790, 189227519, 302991311, 603339734, 160647654, 207607180, 1014123489, 991137542, 819218729, 781748719, 985561862, 1070575041, 690502685, 1048034144, 570935355, 341212157, 715625459, 274012236, 362438101, 863485143, 615593401, 535597957, 990495836, 694410270, 813773813, 859000762, 1049972763, 583634394, 105262886, 604125559, 699191735, 254114372, 292677630, 566365439, 911867797, 335460341, 828314840, 824748391, 92402627, 961191484, 1049175072, 582795291, 819158472, 830535107, 941358766, 631909253, 648530445, 797874421, 30968669, 234855953, 98263450, 88481223, 452319591, 805493084, 1053194630, 56042822, 333480492, 239615005, 272024081, 406648152, 755191096, 1047683783, 70610814, 380811773, 1046196028, 463385213, 900733634, 698608181, 308698659, 54593833, 720787107, 122390252, 776579142, 604026993, 326604877, 237361176, 858921992, 806627992, 630447105, 27289468, 141431763, 361659958, 12065454, 332982837, 486965673, 289031991, 289264026, 274731892, 786915979, 71325521, 552789575, 479715956, 466513752, 371331296, 538504682, 1050108527, 620329954, 647513213, 1035381084, 24452704, 1022863471, 31359431, 267387470, 259753316, 174683331, 841638591, 766813581, 1073090247, 282950155, 243094850, 910028487, 646092429, 474189461, 170013727, 138327875, 1019995640, 948047605, 643519657, 565591967, 210202224, 719255051, 605517528, 882343473, 275942808, 622638916, 599127077, 306944811, 1058859943, 1016957483, 212415664, 159997843, 29293270, 908635617, 920338120, 68729666, 862345809, 139435665, 647721848, 282695615, 271740584, 288489968, 877719230, 751109090, 1035422490, 720878696, 965664475, 743505414, 58414510, 746079573, 822836972, 79604523, 455139455, 1072909648, 428964402, 936649144, 52136820, 858316883, 378939134, 482267210, 611007973, 854793496, 775464626, 73486110, 894847257, 821875244, 210986943, 317205105, 703941058, 259384218, 161122408, 202006814, 743177510, 489453468, 1054544053, 73330930, 827363879, 376700443, 525039515, 885251286, 244744634, 289628039, 874720681, 163149751, 193882107, 137825699, 13648428, 472731897, 288724608, 257090708, 267156861, 394035702, 910357501, 134191785, 377055928, 36020152, 224892073, 764932316, 772811818, 719677368, 249646611, 168284326, 125872647, 1058503469, 747670659, 293861626, 16700070, 338347020, 1052140057, 414194896, 530150807, 517775905, 158922174, 180909693, 700432676, 212116315, 728010155, 961518931, 521492117, 1022223724, 260093343, 332744249, 193779575, 260215740, 901446979, 793943576, 48668882, 532948089, 450354056, 79907247, 78669992, 858700396, 653613088, 567698139, 165138358, 70697759, 505381462, 270125818, 842587072, 952643835, 572860414, 549702532, 286567623, 84431772, 821219598, 737557644, 16909869, 545146942, 932584360, 33516545, 728401212, 4192428, 27670745, 778707483, 106144621, 82395302, 876370783, 370925417, 669844470, 311641607, 651860322, 919330853, 43514968, 722243908, 357262655, 653911968, 253325979, 468495152, 321272548, 286593662, 401534432, 442503042, 649831773, 573292102, 496376979, 177746287, 666208394, 650072281, 1004743486, 447893554, 196557537, 231188514, 186311201, 791303182, 95244345, 727971622, 143048907, 10604673, 371300441, 888966035, 546316044, 291349087, 353385701, 307285210, 90157099, 550046335, 346282957, 77855692, 617230591, 352540843, 370577959, 649417449, 278517687, 384988896, 34234077, 339395706, 630311536, 105180408, 68326111, 375709055, 841691465, 193885370, 495964951, 589096722, 660579035, 955360241, 779175176, 988721273, 667316134, 586976297, 834549806, 265496569, 990910551, 420801204, 801433100, 370093735, 941762008, 46047399, 1052098068, 1071658785, 649869345, 546349527, 620912430, 139378187, 595867627, 37071089, 527213494, 405502309, 786730740, 720266439, 1040165182, 941447361, 237634831, 343500089, 904110529, 963652706, 964153299, 356832191, 452798383, 204404110, 76449241, 995031222, 52694713, 1064093537, 329092101, 213848582, 555545940, 562629453, 469774368, 893684995, 334951773, 643446683, 1020360014, 1024202256, 104726061, 474279811, 744951020, 644077630, 647019551, 818175590, 845956642, 159731192, 940900699, 1067362489, 100638799, 162794815, 784839142, 270116379, 568694710, 428596026, 90131186, 546022898, 932568896, 958517678, 668248583, 369078088, 1055013521, 552533759, 697569511, 1015054953, 208516472, 684898609, 497556799, 473347846, 509627984, 722283968, 733428345, 136601832, 962640902, 275028479, 688135126, 97200223, 458660109, 254224818, 432329654, 959971936, 169181297, 791689228, 658983812, 711230988, 154816043, 753975873, 940396004, 405381054, 1011260658, 130986599, 40919855, 383325561, 729688530, 66398219, 845567347, 579707346, 791654097, 172827548, 863242572, 517868810, 749311969, 986282278, 453308888, 9929325, 517908781, 1040693083, 947119160, 1006779444, 395157136, 736751712, 353827833, 813292731, 888091687, 1055022935, 531808455, 299803037, 912624930, 309954594, 895685401, 792248558, 418666377, 182460121, 562904838, 993203576, 23171684, 821946096, 972999781, 804175527, 823998048, 115970969, 81253214, 224773333, 979469825, 942583237, 284001011, 1063554368, 565313153, 869462389, 694323401, 907303462, 369834608, 758643314, 409582084, 488964586, 717879017, 581417894, 96162955, 255290074, 433727939, 1068959855, 193282118, 1072966733, 451685960, 43236341, 978503382, 921363835, 726786279, 883307577, 557058806, 24058480, 897290056, 144595460, 189596814, 476908382, 981227092, 596799003, 945207058, 44225794, 782549588, 109386448, 961430576, 87082217, 247020227, 414524438, 305938280, 8175693, 67373783, 609068796, 473728191, 550756387, 469663097, 14803934, 895769416, 3285144, 220108803, 807047048, 275588295, 855819229, 829965885, 299614131, 303678180, 622601832, 430615750, 7806868, 643989309, 723516189, 431768829, 85578360, 455418551, 390130061, 35625716, 909733265, 928717037, 716211497, 717347169, 621473245, 521459623, 718695460, 280999275, 122805887, 1010585305, 62325145, 472388647, 635484259, 873331480, 1056446065, 1014929838, 664263584, 61097479, 429316632, 668394778, 1036488928, 1014075890, 28932372, 858659662, 849066893, 246270075, 373900698, 796934159, 1040263930, 224988202, 145197079, 871802223, 519697082, 570612438, 314078474, 336694878, 124484598, 1008050471, 628852942, 486667949, 1024061337, 289302896, 557758030, 19994229, 524214964, 1038724187, 911458832, 517443451, 357587524, 315721662, 583029275, 102840643, 755467211, 685588787, 272142406, 535787946, 589942908, 594451069, 609214727, 39693699, 1050350615, 100861085, 956416697, 381802795, 123915827, 253759273, 83432297, 970143695, 636397651, 178697161, 122630529, 335259281, 924112626, 867171979, 12847197, 1057664907, 1047298367, 787661921, 613289533, 468764049, 299107601, 81039432, 966281246, 827812059, 168161984, 268579729, 96971571, 862364578, 1061217506, 470805990, 1037181495, 708852615, 741236957, 39794119, 1018481985, 980755510, 872352210, 854325295, 241777664, 16702507, 465992074, 343062675, 848101651, 923284709, 835913149, 704378879, 323955053, 222482475, 286808843, 458610764, 260332860, 592991888, 36088313, 479837990, 307352631, 735948278, 292966580, 52492862, 664013574, 95623713, 901241242, 753326696, 393184378, 291671221, 785202334, 753336801, 667373715, 766355157, 907231614, 653778847, 884662343, 363865746, 922351210, 833081767, 728432927, 586068261, 471737348, 75888873, 687288339, 691221182, 378054941, 281675205, 367552703, 779867148, 765604534, 31073381, 114600754, 383547663, 886964050, 1036730419, 932359516, 799393041, 603467269, 876643139, 86032750, 178725344, 561192269, 675255877, 934933665, 685033043, 129823499, 619994431, 607274354, 370388148, 803966069, 762540190, 262742908, 388111853, 230417672, 640674970, 763196120, 412196926, 841446816, 938566220, 364221352, 770517691, 458845673, 334344432, 701206722, 414139264, 190879004, 888552562, 438202937, 110217684, 189555928, 1057998529, 143770182, 56036905, 534590726, 570403329, 790145168, 462995155, 920507509, 887732319, 778082775, 477673549, 159625961, 183258364, 546215043, 938303118, 116395058, 532253782, 981685705, 112978314, 136495748, 814811009, 128305112, 584995343, 403389801, 439818957, 684854960, 423680297, 434001378, 87665483, 559221990, 430426406, 308284612, 325733785, 582576315, 1044529929, 701070633, 638022344, 658319959, 1020381650, 761988917, 967989767, 714803930, 109926388, 740404895, 397812098, 132657314, 1006800690, 24421368, 132263531, 663657653, 640985219, 934347500, 967835114, 317939087, 566599503, 328832745, 949297660, 443831390, 85493708, 414758458, 639428676, 5147093, 850759335, 388030455, 69154719, 138521088, 491949205, 807922813, 1028795827, 160577316, 970824, 614060454, 741554394, 428089054, 618331260, 295606831, 645689955, 141788776, 787221129, 154833064, 1005785538, 85706414, 759927267, 410491204, 232152936, 164695060, 467706634, 674369216, 1001297001, 576097437, 171251156, 822488079, 611916933, 810714220, 430890968, 714260136, 381913407, 172534884, 689526702, 723642251, 815197645, 884247788, 809379676, 375535253, 165701357, 402170610, 1041282665, 941268593, 780270358, 391990981, 1056232171, 82177748, 97968496, 462532444, 753378510, 522670141, 164193443, 125528070, 327453794, 486889915, 544808269, 56683930, 155727748, 650073147, 540575340, 1029377260, 6901184, 513597688, 1039787112, 72879007, 48440673, 405775194, 627557696, 230453231, 830521282, 699403860, 671921463, 86592317, 136662830, 559351664, 95087463, 236969744, 834777449, 769231664, 20022304, 332070238, 916957284, 518380271, 174562111, 506311463, 253352018, 736803595, 370746818, 572927161, 531812962, 506870466, 976898442, 159672317, 594215459, 892884948, 603150534, 114900255, 1063754722, 103016753, 17967100, 589620800, 20823297, 749648781, 243997595, 330450080, 253213371, 667943798, 811118687, 669416835, 44179519, 792508416, 668932587, 500689175, 338955565, 552076191, 531316840, 44365568, 375457640, 622124307, 132871410, 307381338, 782564587, 50069020, 370633022, 816283089, 30660111, 606284771, 908756280, 415713208, 577985498, 1023135300, 800410781, 158872213, 1005775052, 336609248, 305231592, 197502817, 492269167, 526858309, 268525978, 174439573, 472465078, 663346546, 673754647, 90783984, 298564422, 560111562, 117134024, 356950789, 294095514, 448669424, 543912983, 649674557, 269989922, 466038399, 327401541, 505794315, 329213541, 804408513, 628181397, 134062396, 226473283, 995960831, 720114465, 45611903, 110811335, 691822376, 394063067, 265611907, 489701768, 577659477, 574930277, 741827199, 506826308, 735014055, 494831710, 361475400, 781164380, 791340086, 965977168, 383320055, 728331858, 73159136, 117251820, 277489497, 482620888, 671250012, 761603687, 1056789531, 125903292, 523879071, 285893506, 808090199, 166359640, 584781125, 517178575, 179686984, 529926866, 830609587, 172116996, 1024840650, 1014855492, 665430308, 692147178, 251237783, 83559669, 945582004, 892936528, 134695579, 823740695, 17582107, 923593758, 274315123, 1064206553, 438976185, 409082927, 588998090, 672514799, 250838466, 861206297, 282436515, 46019332, 50001886, 577393628, 970387872, 299507864, 183556461, 610126726, 718525109, 765737633, 380778724, 419810109, 76999783, 354666689, 788470531, 678998765, 599962707, 863531365, 738139520, 174620656, 106737883, 739635063, 598330510, 24782083, 227639586, 568617267, 855267670, 976581744, 360656056, 1037741547, 1061019542, 404052588, 899139455, 1016009192, 818413422, 779927181, 658688057, 277600800, 510597134, 840519146, 8011216, 371648834, 758518402, 1013137620, 64264987, 731841023, 999078268, 510660070, 48562489, 460736737, 711674326, 658163461, 185702853, 925092798, 727272475, 581351057, 781524077, 815146824, 969652067, 864235646, 257187449, 277911246, 985592680, 883658624, 232688752, 132691041, 668303245, 629967908, 557778233, 504170359, 51759323, 584859879, 894044834, 915527576, 890391153, 463776983, 866549813, 534191316, 364480661, 883991333, 189990585, 71019040, 143715818, 621174464, 531498132, 74178784, 15732545, 711801267, 739822143, 73742197, 796089729, 546806478, 303568995, 897884815, 504561378, 729770470, 548811228, 21772193, 831187123, 554030613, 958739232, 182681, 465364986, 988089302, 629268925, 557310486, 992526373, 227676281, 838852875, 880197648, 11240001, 358487938, 1041181992, 39662403, 1035640575, 477076035, 56129906, 202685681, 790960497, 1066164105, 519881931, 905774687, 641715959, 423034248, 900530604, 820317128, 582143088, 894221902, 222252552, 708977190, 726340197, 580806450, 1033830118, 385102379, 175850260, 46217817, 627775967, 616405907, 391400390, 720695105, 848276076, 178191851, 47215662, 949590981, 60212152, 207915948, 486426865, 903790383, 442135541, 1060981962, 757811036, 109291325, 666618478, 217325991, 229522665, 514223877, 663325354, 553151340, 888098481, 562111163, 50859919, 846828466, 590743298, 798540570, 235858361, 200450437, 140283896, 175037844, 954292954, 760669335, 298287569, 50220433, 779087492, 452442628, 100947814, 93829736, 717311158, 734550412, 770323960, 730156872, 742054985, 839290595, 184315943, 269773175, 436981840, 185361854, 477018998, 707338803, 982443985, 793442298, 1007675739, 36183102, 629235350, 581697189, 948274012, 424026408, 248891927, 74817549, 1070020889, 977347579, 406538912, 44548067, 553417993, 154740582, 999314844, 805013487, 52042473, 667447353, 992567512, 570841203, 923228040, 1020268346, 121963059, 413313818, 796945470, 1006995532, 179118025, 605346988, 734206686, 619986928, 1068768029, 818559007, 49966048, 153833127, 241934407, 366186402, 500981855, 231826354, 716450246, 1037828742, 447582062, 615790018, 757123287, 412854011, 227150474, 210313207, 153776362, 783081799, 244703347, 1049993271, 422570595, 516824201, 113949653, 572468394, 254842958, 175057764, 322705279, 895815047, 951059967, 308633669, 171226119, 294224101, 90217549, 764296020, 303712256, 484660264, 228982252, 829646116, 552390586, 269894595, 565388306, 637806493, 313948248, 783690455, 81996007, 64779758, 614254215, 338906447, 38329711, 227168086, 765584384, 619058741, 506818893, 763018968, 867919059, 990341278, 31534668, 262505122, 81250723, 343948566, 605479580, 657489013, 762092659, 422311786, 340586014, 464090205, 1020516193, 514959762, 186770216, 495687146, 365961800, 118131104, 301508584, 438232812, 811898166, 160042549, 970780117, 207240090, 173885140, 227435234, 874223782, 953883899, 1025659050, 702920668, 226991153, 260696873, 721334679, 147124827, 677513252, 453697714, 1014326560, 914583126, 539748460, 871203928, 913777986, 1023722773, 566616683, 165094485, 645664647, 855886692, 824586972, 806996680, 879255243, 861871895, 893681446, 984316858, 1030243723, 282660666, 648303238, 799846564, 215207143, 892456641, 160379118, 120101006, 733641797, 36011984, 219899532, 496144222, 688773828, 36154149, 296226983, 328563286, 909562956, 369953858, 353457385, 581380635, 223195004, 661789555, 417735572, 151427777, 272221885, 991900179, 769565042, 497984491, 181460748, 624460269, 421170763, 406446611, 505114364, 340339922, 451968821, 806145666, 993421547, 470703254, 857293571, 374318356, 126868426, 575675517, 56294278, 427784585, 36276775, 2062183, 237427226, 529041296, 971625229, 586341085, 995957036, 177263456, 398021815, 128473324, 1028960152, 168800505, 838261084, 802072032, 766774875, 732235895, 598638841, 609547385, 1022362757, 660485405, 444713956, 766966690, 132794394, 23770175, 957123637, 832202551, 266352939, 1056145388, 118041900, 721553209, 1012676841, 790018061, 581073288, 328016244, 517161099, 909593798, 399466686, 6456476, 726040605, 779236333, 616508413, 726109186, 778922113, 91266599, 1003705084, 305530416, 786344870, 351464706, 567566183, 421103890, 379670653, 460090713, 588683356, 113697571, 588686567, 929995278, 965287311, 711116191, 701929078, 355517656, 994306080, 148222410, 1051874714, 898147608, 481692534, 843907679, 680628994, 401867306, 122179967, 869994129, 1055200638, 687999618, 110365901, 762165073, 209190860, 815244440, 195111655, 523525421, 249383030, 568208945, 689308188, 415775924, 779358987, 332281390, 652498316, 902540663, 227687533, 344095793, 99330956, 755101688, 107285656, 136828348, 413449641, 475210526, 22590760, 793862038, 352596332, 555766503, 801580771, 144701139, 483072119, 531385087, 809280358, 1008171115, 430706114, 600050203, 1046600484, 317872957, 909093304, 732403922, 279042579, 414258734, 816282035, 399724203, 834815985, 893142176, 907644399, 389209728, 600150514, 795902977, 753732062, 808542152, 667739406, 660196960, 341019660, 927685252, 823438190, 767171996, 61162150, 446384233, 478845385, 704914436, 746155181, 5600856, 141773097, 907384526, 307658715, 161372007, 206564811, 322429317, 720791529, 126188880, 841623159, 499121972, 467404005, 327416449, 956241009, 934331029, 681694557, 341018967, 546185948, 979793775, 209050548, 313174358, 575614322, 782614656, 504390932, 666263567, 316662264, 230769177, 776572830, 697682875, 818367872, 558977045, 314913351, 732857475, 212191561, 77897581, 111568457, 994646833, 585829575, 706519425, 1017924608, 981430251, 973365604, 477242265, 734410849, 39744387, 564793335, 743231601, 1039752982, 913933732, 457460971, 229747174, 274867269, 897841005, 71569921, 924021624, 702518148, 456552557, 145735489, 1070127929, 821378471, 1004436194, 635895778, 748200700, 919180041, 851655851, 569040376, 743193952, 1035646688, 270725779, 628341540, 194886472, 477290706, 584442972, 244823407, 948981735, 152665857, 553158218, 523802463, 465472980, 1023352058, 614587496, 26626493, 97990220, 188331139, 1054223718, 1015533353, 964856144, 211785727, 501481512, 567651899, 486874576, 677084729, 634252057, 932438513, 86490194, 653881188, 295572606, 109332468, 594924761, 522392703, 113087163, 255251864, 722195678, 879717895, 71301453, 137289718, 62377518, 664060934, 154670419, 710406305, 959723399, 1004664292, 67421302, 917712648, 319716561, 382443228, 796940273, 183742068, 58711661, 279621937, 273560802, 165945682, 783963304, 852869478, 287808896, 693275313, 120306360, 611431500, 675680410, 932585314, 573653822, 578084490, 627923881, 716455281, 808494787, 873135596, 362756360, 503718590, 18257541, 451982051, 804072630, 518509321, 265265251, 350475678, 247523347, 976433767, 307806943, 184573639, 758816336, 291326860, 972526762, 311037429, 786898984, 221480402, 827523994, 360573925, 523713692, 394169555, 230582394, 174154228, 656238709, 797888257, 784253999, 218877422, 781550252, 591709827, 852093143, 182119965, 572986817, 816630870, 47340748, 604175919, 1055680155, 276108854, 301482356, 265704928, 1042614065, 924335214, 920505343, 181721815, 704019030, 997977082, 625145509, 550113102, 465616082, 19775639, 85146351, 1052457901, 660395885, 651696407, 1062206454, 452486118, 127092716, 1055934239, 266976762, 289709082, 275291981, 416221062, 767816457, 787943331, 767840280, 1010384503, 866369158, 641044746, 13469831, 207947579, 210471306, 491043596, 647150997, 906050086, 53013902, 943769536, 774720986, 1014004532, 109355845, 932699259, 685453019, 299625454, 591050182, 439272708, 520701447, 436736774, 452768481, 515446998, 583690617, 829594749, 921462943, 868200699, 678385864, 580950286, 690541338, 208642443, 1052280148, 507948255, 215893725, 916585746, 493085761, 1072272688, 436046267, 814398337, 46231394, 841072878, 308329754, 178296425, 269065186, 295625168, 171591316, 812254931, 831735029, 70156639, 923343805, 935133774, 91509379, 1073721935, 1048182629, 545125670, 837864822, 91408614, 719022022, 149871417, 955921908, 591779908, 287619168, 312532686, 1015169111, 205821396, 247217381, 582555124, 584130239, 847638056, 592681135, 190125939, 65134882, 461233356, 684056965, 819294297, 70935539, 39308321, 533973048, 834076819, 785472536, 733407376, 488827040, 14315354, 477559883, 24158514, 580015488, 1067498232, 559252198, 139147588, 229882320, 110234102, 468393600, 824526158, 1055700920, 818836372, 917113156, 254397710, 740201881, 21366985, 374086810, 710714636, 136347802, 541457746, 258314889, 439090325, 697412966, 571527060, 699744100, 165556030, 604787512, 80164307, 472382628, 102985593, 694809495, 202419881, 368651757, 90338184, 798304119, 709716129, 327495153, 710482798, 387076901, 510877444, 118601325, 866526572, 352342275, 332296234, 981995254, 10944600, 198730094, 474702358, 833510335, 593771904, 712353150, 573876522, 137443848, 224329285, 614615911, 809124737, 344447157, 412608268, 76429926, 478470229, 968099206, 741306874, 739615997, 516494001, 68720277, 199348698, 980108233, 534288436, 48678643, 675306112, 16507797, 858608336, 364617422, 1031742792, 844121837, 530469415, 648784718, 43383136, 450592994, 425613770, 176860063, 68566284, 140701989, 1012795907, 637346508, 921429687, 486276474, 6610931, 621711236, 536492565, 97089092, 378165533, 385339376, 811321451, 348807237, 404880310, 316876867, 1006473488, 5678293, 55794588, 55045042, 240565258, 618420773, 419590643, 797533100, 707351095, 45500143, 516603544, 12522305, 521590245, 166222056, 900864069, 103857981, 16395228, 207554597, 360912779, 874676046, 945487627, 830710426, 847330041, 541750381, 390865405, 522166472, 512962790, 710314425, 872376832, 361193032, 1043551439, 702191590, 303644615, 486809836, 944396343, 370821998, 191713370, 945308374, 749309098, 27955131, 847364497, 710695535, 821618604, 424953842, 336205568, 710098641, 1044338564, 535960318, 518051525, 770445778, 470373844, 375972871, 150218323, 445422322, 80366641, 174231558, 300019065, 77186565, 381414843, 739331088, 24557150, 748277357, 1010390681, 565104527, 184641082, 666380934, 583414499, 787093910, 949730630, 399798299, 217559695, 169111417, 451673622, 971213458, 632696713, 870806006, 426380283, 340621659, 166217593, 543302566, 836011774, 554503818, 1031938004, 14843303, 554551751, 880656090, 564118819, 911791873, 80147497, 1013376102, 893008994, 655281342, 496631055, 889209762, 701459642, 22944134, 786090005, 321576905, 1028041168, 673037131, 850327893, 919868926, 932829650, 693127294, 798556825, 633496437, 803178964, 221514958, 167781286, 403914676, 993081553, 421294721, 521022522, 131802600, 259116153, 474086567, 463045199, 938118815, 666321744, 888440957, 536696159, 760936222, 750716369, 454671655, 793575589, 535113135, 691616447, 885201262, 1044903118, 396169599, 586497273, 28643620, 719366751, 631235478, 903538395, 1058161537, 732512657, 1015657503, 266977039, 169590402, 682384287, 953390773, 653186962, 565455085, 954566090, 791794063, 322775254, 730054858, 214525827, 834825558, 102134709, 301391785, 909337470, 427925864, 894873881, 85517177, 870474886, 554630085, 760301384, 50928739, 631809643, 115459877, 38414751, 794767896, 164632608, 393149845, 600109001, 189469042, 850465829, 918161892, 319099422, 900185110, 541266643, 777540016, 610725000, 427018663, 237009608, 918043862, 994512094, 10857508, 875342681, 669526837, 55156563, 90125189, 799546614, 848927630, 701524815, 572721337, 986551400, 420006750, 600522486, 496060081, 202588626, 681371380, 20401136, 1062868707, 72412986, 831644741, 833100780, 677298106, 319735620, 1056787411, 674284228, 215064333, 891567487, 558909522, 424438448, 882480619, 1042110741, 905737792, 1023075381, 216928861, 1019423758, 467555436, 835876010, 924740906, 390774906, 959773056, 935542355, 636083529, 719147485, 475629813, 1031908225, 657566112, 369201261, 724933469, 1038823044, 952061200, 528574275, 609548478, 760716166, 73744455, 23443110, 79989790, 413685547, 680122755, 1057784056, 761884708, 894074244, 63925607, 1045976152, 850645577, 733364006, 727327169, 249366871, 946294020, 791640425, 990205450, 713481221, 141230414, 827585685, 511392363, 568772932, 34117220, 973899234, 342742784, 770502998, 991084797, 234730795, 613638159, 358285831, 617020713, 294168452, 376841133, 322354448, 691916593, 1044781699, 748849567, 963286950, 348813000, 890339512, 630533757, 481230506, 743723632, 265079896, 289583558, 971588720, 220710090, 603443982, 208843650, 787513531, 645482173, 83086549, 255743200, 57693854, 985988490, 575374814, 325184322, 456776495, 957875882, 920430749, 568990269, 999416869, 938900976, 1019987939, 332181620, 786317215, 609985150, 240590503, 827129799, 643418626, 618622529, 435894086, 278416234, 534588570, 204116193, 853998401, 869494998, 782575855, 343457328, 1050113481, 385527076, 500128016, 500393052, 1029711667, 494466013, 393909865, 972579561, 1051488702, 880607985, 1057776457, 262256109, 898582866, 799460385, 19828228, 311569551, 201615943, 951455533, 433377023, 295720217, 486412970, 947558455, 11864460, 1012709821, 718411586, 1034934494, 13080514, 384887293, 376742180, 647348032, 469711518, 465450460, 230767181, 673474146, 972938745, 789170919, 727777683, 1021738674, 718450804, 861112561, 102511078, 730078288, 583692105, 1053640376, 1037248004, 179130466, 539757077, 193424915, 96580794, 813531958, 737614446, 649335281, 138149978, 328004637, 660269126, 370200970, 216152586, 641883238, 192278624, 298535516, 839371161, 565346954, 95805527, 371054038, 659412040, 412141100, 438698701, 971974572, 147469835, 57995718, 74194902, 195694672, 226285448, 343242986, 413927381, 945768651, 576145043, 687373578, 367229227, 661891674, 357533488, 716973867, 262039778, 408296560, 584210506, 100354322, 220459205, 445751281, 147074115, 757044449, 83208620, 391807349, 376897273, 823962198, 602205135, 401996852, 636949318, 538095004, 651063653, 961082732, 308913756, 221332337, 542174237, 36083209, 1018862574, 549850536, 265504563, 57672761, 284852324, 1038428842, 812422198, 996843341, 915883556, 175170957, 57332473, 810212610, 613382242, 361354239, 671860005, 509598540, 1073533089, 22610944, 725984085, 631435997, 287604277, 934961655, 346668039, 828866250, 930618330, 37079680, 16801972, 348490878, 643373665, 459593543, 9907166, 94611680, 1029464298, 301416069, 558041228, 992159756, 1064981088, 941888615, 290332823, 421709603, 373915866, 941063775, 623341396, 357646910, 510215689, 242188721, 894576919, 598768363, 794666574, 72437924, 421598563, 454124498, 626339207, 719007329, 176298838, 584113940, 651073143, 322920948, 611501927, 774966297, 23679339, 254013555, 605630671, 759897976, 670139899, 598055511, 324453378, 384927727, 215621336, 93786933, 148301406, 110244221, 58975818, 257470933, 195946750, 55772405, 240459312, 764824313, 675964805, 1069011647, 933940028, 789794353, 54996097, 8972949, 884237824, 743132473, 142925432, 917644819, 558463292, 227784970, 429352102, 157170191, 855136825, 386502894, 408479018, 756691107, 126321234, 880748128, 59051808, 948764308, 464942949, 801476675, 608564855, 129081159, 553494390, 460069320, 266832867, 1013435990, 417626728, 971593910, 25499530, 489550202, 893322734, 458269567, 804075866, 770511183, 250972008, 1016979852, 423251192, 871614381, 440995905, 610506033, 208120599, 537340349, 644415120, 14167684, 275267728, 97642641, 667199073, 719067019, 98042868, 53133948, 457443023, 773552379, 838800749, 644918966, 709346229, 679516106, 147250038, 783890407, 666197731, 539397047, 3257108, 837158452, 1016880186, 294496223, 1018095047, 429072480, 505418475, 81493734, 922043593, 601429940, 139604285, 709671415, 510581644, 122833050, 599459667, 623454831, 166762821, 60975577, 156114361, 342279005, 361595846, 82673796, 155130160, 431618419, 230210270, 947464685, 765176425, 239832391, 480980342, 139630099, 660537353, 841201201, 667022224, 538335300, 112365755, 802215715, 321973891, 96715910, 896837217, 924083580, 661026913, 182083941, 918569071, 577641681, 800523947, 528033105, 288778064, 707674331, 303342555, 770585483, 155431316, 325015622, 1053430359, 1007158369, 367194804, 3699791, 132809725, 419179703, 976270641, 638678578, 569068987, 187454074, 188521063, 972925957, 784371670, 509154656, 626267276, 55664974, 209055867, 245977515, 367477682, 276168050, 658000275, 856021485, 834249126, 938268059, 692391611, 539481131, 607309676, 551791042, 131053291, 849101767, 250596972, 125738721, 354798070, 844434353, 544438199, 288737071, 109139800, 327245042, 782390646, 938003646, 916739433, 272420450, 398968986, 332131355, 482025393, 64396413, 265027139, 245740026, 751333179, 734299147, 217942378, 1068617679, 710285192, 828639117, 964395920, 271298067, 816340629, 465665793, 759444027, 137195179, 363659321, 841003, 62523088, 228336950, 770086933, 720447443, 831163329, 1028882974, 926552652, 474029079, 450524948, 979173639, 864630674, 422917339, 510747533, 771540378, 920414197, 451783637, 1049691770, 1041612753, 740057497, 545119840, 950650384, 816708539, 969618942, 619160209, 153631571, 902313077, 783687081, 391789689, 421348807, 316539332, 1021056528, 565977549, 743929921, 409656623, 337652503, 536091279, 428013908, 1053851911, 1006268081, 132620654, 793907551, 246695995, 196747654, 713202258, 214760319, 487259207, 806054547, 855597099, 284389667, 409083351, 95526883, 414246809, 950834973, 956472191, 618853151, 263144404, 802959367, 364454536, 231398476, 513895889, 97318045, 210802555, 142647036, 756487918, 489913290, 900876339, 723856930, 824549745, 939856753, 23872560, 74003122, 564383633, 305695844, 540746561, 991699976, 897843688, 837135936, 86107225, 407158535, 875473812, 755527796, 301272490, 1048713929, 125259061, 824968436, 728996773, 1050881937, 650246029, 600880541, 70874854, 554264296, 108343258, 511933493, 698379770, 327086070, 246613410, 160663564, 301847737, 609867135, 219427915, 377111347, 1061659003, 44108251, 104995186, 990624266, 845838793, 614392391, 24913195, 418368946, 129004650, 576989452, 346760483, 937031343, 235284053, 1029476530, 541261992, 639786239, 473077381, 669289846, 907767648, 384416556, 893570113, 1036987118, 666120622, 379007670, 366892670, 121941431, 766319687, 993936488, 497881942, 792118474, 600470839, 1035280185, 492061744, 161264119, 291689957, 539579913, 852084172, 12323520, 1676996, 763651530, 687058364, 22548251, 28284571, 907472296, 761156550, 23108701, 10145758, 463958064, 345693268, 555458550, 880690294, 550581001, 246253283, 331814522, 768634858, 449280182, 502885704, 441241767, 559400928, 867058723, 428503747, 196251894, 163012544, 707985290, 183982313, 540248080, 828043190, 336934201, 209051624, 577363881, 106720896, 424768266, 112267936, 374026568, 625439026, 989049516, 238339757, 778321086, 490189516, 637095648, 999761244, 541379767, 604686282, 351050251, 231055415, 818024676, 306405096, 317687429, 211205382, 286538428, 822605548, 629467260, 361537895, 650374419, 112228012, 545957353, 367628874, 365025256, 287665372, 682780850, 674876436, 555394589, 537978553, 572970972, 855043997, 1890121, 94013938, 549890975, 412344515, 396187651, 1024713347, 463342229, 293864807, 165381594, 1017557927, 478091749, 648323562, 950536471, 53033090, 840500286, 931435273, 1021222664, 637681871, 687730528, 73886080, 300872022, 360755908, 154226672, 662747883, 947066424, 245641833, 448282737, 321638530, 276316340, 176057543, 285185075, 869004610, 72731321, 348177233, 692328781, 659308138, 1019353182, 136288181, 944346386, 575492502, 1051770929, 890156826, 412497064, 117833686, 564649993, 999964941, 957418646, 412001392, 178638185, 976448357, 1013986525, 916130328, 419311954, 302384402, 1014943208, 275168702, 57135732, 904968855, 99580012, 250978052, 909975990, 201992019, 93008081, 127504216, 191286675, 312802796, 426210851, 623501843, 312999152, 588938646, 627850490, 674411704, 746953750, 903760608, 251935325, 763938276, 121371404, 523167576, 292528221, 1068398390, 819063041, 325895415, 118764053, 11939871, 96624169, 329071542, 452482885, 712155410, 799085910, 626396325, 729984435, 877042671, 796965323, 742897923, 314753825, 370147049, 172524707, 221938766, 922552400, 90998405, 32211565, 890301786, 525898024, 172611858, 425921988, 6051249, 667837431, 219759683, 427520291, 474658582, 200214211, 548989925, 648919960, 711161327, 277314748, 965328894, 823152059, 477133605, 239293335, 605785159, 162318053, 217276009, 9906333, 872252369, 289880414, 1046490814, 440597557, 8333082, 1014252154, 523941406, 63444504, 361435475, 514390137, 77243921, 178051891, 583220203, 383770493, 1014388365, 865495412, 965963457, 126029604, 854084411, 859831697, 306885415, 114292081, 213942698, 85228211, 1062953176, 755188197, 947887416, 962961533, 761498129, 750444271, 540372449, 340335398, 273027858, 179224888, 2915410, 374001768, 86330829, 412506728, 643056156, 175635020, 1017485254, 916518301, 967121878, 338550825, 71857429, 426847260, 993360053, 122804332, 253458302, 95359399, 497090739, 830117762, 980668698, 398878589, 606915209, 797151387, 735657070, 859512709, 783223650, 893640586, 608140143, 988875614, 880289110, 662882044, 14758556, 297495258, 162658526, 332204926, 234336819, 432328615, 421464977, 121347493, 123452969, 166819378, 1033852340, 844544641, 54729261, 454761725, 580491725, 395659727, 5487549, 315189908, 624756898, 222856787, 171786609, 147031420, 494549765, 80808262, 257392338, 414997456, 197866079, 234500689, 483158084, 226294669, 672850875, 484809595, 514378662, 422490406, 911741255, 265491796, 124832538, 245825330, 188944319, 1055401780, 603114990, 1040160752, 444357057, 657015343, 981989449, 618366253, 375541803, 513744436, 499531965, 289796609, 418720011, 339290413, 1030822524, 254065549, 653191527, 223783521, 728304022, 883907663, 44186452, 435228636, 254944635, 327989975, 340673678, 905561151, 1039626630, 518729627, 480282426, 675723106, 284893982, 733123858, 670177558, 958651985, 288666777, 618285826, 221317622, 562369501, 279802896, 1054384901, 330908743, 746042968, 242927720, 296929775, 375095133, 730953017, 178857291, 24400060, 789050890, 591510169, 939535292, 611508530, 684333434, 802365955, 322936636, 5269081, 473113794, 602736296, 229144472, 406020962, 825881292, 868416176, 1006384259, 273625419, 442019119, 648840615, 389818767, 948148858, 654326783, 879409772, 773052483, 725943495, 777756883, 912495580, 185468518, 177079274, 461576375, 663199867, 531525130, 900922179, 292276419, 476392852, 347516461, 491004531, 98794460, 622792883, 393868611, 266437289, 73771544, 468060655, 67713771, 1037957027, 260906591, 990072888, 144453077, 827506801, 823195630, 1021847156, 1016105070, 1049091604, 1041500757, 994385281, 929325486, 142162184, 672926792, 831742225, 488657997, 606381666, 861754907, 131633157, 1039766135, 965840716, 179118992, 607462274, 225164582, 711820721, 673373730, 814036372, 732571883, 244111165, 329465942, 132051428, 715261613, 602240864, 453631419, 746344167, 362051014, 695135996, 115875296, 29432762, 30222725, 285992976, 679612720, 554373759, 834890598, 169533993, 215790044, 1063148007, 264606285, 1024365862, 949043056, 122601761, 824334849, 1042059623, 963034276, 431556245, 611130053, 79515766, 246033998, 856630674, 783988307, 529437578, 623916389, 1065669415, 907203064, 738422371, 272694785, 596963310, 924662349, 375913547, 144171501, 721324378, 709772640, 187357067, 382491909, 686152054, 485183384, 570715344, 39277384, 780315674, 985047909, 1039549987, 432625359, 157692614, 707495371, 821497174, 600489189, 115667721, 364139288, 3660713, 775612054, 794867899, 867135287, 1022021476, 257404711, 667800234, 1064021361, 835121273, 780067566, 580965824, 315066067, 534855036, 447945446, 68764102, 1073292639, 412341975, 330207535, 651915429, 253386284, 299655893, 183390216, 249646864, 413178272, 804844820, 996361152, 371181793, 987679990, 262747902, 87119258, 359871315, 291970729, 805001114, 145141989, 493913964, 732067373, 850714939, 785789989, 207570922, 1013952308, 716706208, 1068174743, 420688436, 152456838, 1006367195, 422609593, 98834082, 1059669620, 835737713, 35454028, 216233403, 202840840, 708830538, 513271932, 601708673, 787225840, 377318937, 793744223, 616718215, 1030260493, 475437889, 126371315, 279856511, 1029213411, 10472732, 307457259, 315308535, 401086553, 259164973, 147793372, 666029414, 504764335, 107678589, 597472508, 1019441223, 858689452, 613551706, 191141284, 743951159, 527038026, 929236103, 338430995, 186903747, 199348979, 536388984, 949930095, 519997422, 898373051, 612073900, 916940380, 416394549, 902755206, 137301289, 631351441, 477203036, 204972008, 682788961, 908619700, 599961400, 60371535, 919194890, 824844450, 208350185, 662765742, 927362850, 420289890, 533157846, 15686432, 488854546, 207577407, 403612645, 740813591, 3819424, 322942416, 389706714, 1054238302, 22315202, 890783698, 1063789811, 934738633, 538858241, 854582324, 314560949, 248723135, 206468798, 103682581, 787920867, 56617606, 947683911, 589021537, 585901561, 781582701, 613129358, 200107597, 381138427, 323334552, 885092478, 920703538, 517683178, 330880092, 605905865, 650687136, 289544509, 619411846, 502494871, 609502877, 325640897, 551128826, 69716950, 289678736, 671950027, 123350906, 241745206, 987165811, 198501426, 519378664, 902493050, 656403620, 31628824, 225294572, 365858636, 163048584, 1049614123, 365393939, 754148614, 28549794, 340166214, 852238934, 777518130, 460254298, 994703380, 201707595, 238394872, 291419588, 536258950, 900459343, 292901103, 309624455, 55408290, 363107465, 80551683, 821957834, 381887596, 921755116, 66771079, 901769906, 299105323, 148147477, 757471062, 173178833, 565211400, 439784239, 221014896, 575707766, 486540204, 106091753, 103413959, 566660181, 792230912, 670662947, 90869600, 536142338, 250676777, 496979097, 513291884, 717311300, 570011037, 935454126, 161656729, 712541343, 505219752, 341070014, 605236072, 981282453, 384003041, 1009323208, 110799352, 586575904, 903623631, 191622802, 85327188, 584049591, 310370517, 803440446, 534312042, 251424174, 599161572, 575648521, 532512475, 1064055292, 946362628, 158299384, 322365168, 312421601, 224175211, 626692997, 685414480, 80383631, 433077481, 648618638, 690559472, 492977112, 85176601, 493407809, 148803354, 161618523, 629075812, 412377374, 358489014, 152664664, 506504364, 630796546, 52214633, 199417621, 856203825, 446598519, 71692774, 1041492694, 894817895, 395634861, 414307064, 591001858, 252965714, 868847552, 864667723, 824878951, 880065016, 35325461, 1012251409, 596505546, 336829938, 481927358, 201932457, 1066669633, 497121908, 918823772, 244773943, 1067140059, 496955001, 293412066, 783523031, 341851666, 850438200, 625196324, 427698748, 856880618, 413935108, 874687306, 71442475, 403915028, 25741775, 297859125, 203495623, 276438441, 49973425, 321776425, 690644050, 655538030, 606903821, 775298896, 583828456, 618207864, 403552688, 863558062, 901238403, 682401045, 500801464, 92285852, 812548422, 480644491, 756266827, 421355868, 231009993, 18776949, 20753785, 485193716, 106117571, 351920619, 332671900, 581913026, 835259786, 1060691085, 125477371, 314570373, 1064041031, 965765911, 548596622, 227622912, 489561004, 170473378, 304749597, 576502341, 341661536, 2908499, 1050007277, 906384670, 228905524, 137014455, 944942428, 180078007, 987277041, 422994255, 670105887, 524704944, 792906716, 479218118, 229894790, 75030831, 379262512, 849259757, 917339916, 331961501, 329068706, 927079324, 858408813, 439672115, 576759494, 329164011, 912745653, 197771862, 726318637, 168952997, 808502729, 552636517, 594065059, 505399689, 451796324, 528907655, 747655414, 141385864, 282671087, 861729456, 814096741, 763138328, 220784827, 449449504, 106884595, 632291542, 1049763207, 260857205, 924659536, 994973605, 863006201, 628738259, 879503281, 670455312, 167216523, 803546757, 270809501, 462428098, 895171604, 660499795, 521914325, 1058385345, 665953880, 1010764584, 512585354, 352304949, 60204134, 444603982, 20890104, 74705178, 1016210913, 340574371, 311459632, 370346865, 406499522, 455293368, 159385364, 869649794, 90882088, 319029988, 938565217, 710675351, 252782354, 600059728, 29021209, 1013436280, 196493222, 834430395, 1025273172, 359666822, 471502840, 696994764, 757494598, 104275631, 133475813, 1055743395, 911218591, 862057202, 552768363, 27533557, 169282309, 144509378, 110072430, 93148252, 257701365, 130067660, 199632627, 319990499, 940556657, 796130617, 810971411, 341863177, 423426043, 913865006, 678526501, 987984170, 964223265, 809194488, 548979411, 699677736, 187229414, 587628287, 570448100, 165067782, 1019973060, 460574396, 765284860, 546899191, 1007144863, 684424114, 542171596, 611305585, 139100770, 36660905, 131841994, 372843314, 470807322, 918104118, 998235420, 446056102, 112458059, 761265735, 209885599, 211521395, 906437667, 939372133, 13053296, 611250938, 283386819, 360574772, 865250886, 1946517, 449784948, 1060137381, 835159042, 914117328, 328406179, 801607604, 653938471, 387212056, 454142712, 1040743057, 631783327, 325303576, 1029356051, 388466235, 241574536, 1023505843, 609025149, 664890942, 424453239, 332919023, 998173629, 610200473, 97543888, 81114511, 313047216, 290512542, 208968046, 1050323419, 366161441, 1036565395, 530733433, 33260621, 1029055838, 675190815, 1036203807, 328573920, 543682315, 214035020, 208753052, 672473375, 699376175, 881720037, 1066512768, 159876044, 554230690, 168689544, 592560264, 257655647, 802637745, 372102691, 744640872, 514821279, 151001582, 430762698, 690209684, 335349836, 786674467, 1055274363, 540796201, 559697374, 692224530, 745002416, 1028034058, 522499209, 449300357, 781744315, 63037154, 657819586, 38866816, 765144076, 937786768, 130823792, 969645558, 272800999, 663185657, 638590557, 695174562, 304773638, 354190188, 945576783, 637845134, 368858387, 27498182, 820109924, 106849597, 878798783, 639947141, 748287815, 835114670, 164113023, 1023054319, 736229948, 524140838, 482898592, 433766863, 826418328, 181084778, 834198859, 636229711, 1045266912, 461250443, 744769805, 257658260, 315809561, 966451378, 876233937, 184072254, 984964893, 386595300, 551709856, 585222408, 977910404, 212046678, 611643677, 60801825, 671068954, 926297997, 236009406, 786525392, 884499633, 828257275, 465043907, 718573308, 546727366, 935121993, 516587711, 123246467, 198741438, 254273718, 76009074, 1061331133, 215341057, 907276262, 429724592, 327912198, 611830562, 570378997, 647640765, 436077096, 817500857, 957182501, 510179111, 440487122, 69847031, 799908694, 206275008, 71776877, 319497021, 377880052, 256671039, 969410591, 327308136, 496477456, 629810289, 799114585, 671623695, 484229158, 848768861, 272338156, 171029163, 960282349, 1065098022, 914462056, 1019563848, 555269261, 1001745018, 568118562, 150820404, 209661583, 125808672, 898259152, 544843052, 296913710, 721608798, 777152866, 711099485, 65762754, 256224474, 488640105, 461080177, 703374589, 57752116, 399207161, 445909203, 211406590, 739463093, 194566068, 576311598, 238276941, 52735425, 568025401, 1008885564, 409646566, 184915172, 186345768, 597289001, 188714659, 877709134, 995917996, 440671519, 442596591, 46765328, 1013958429, 764451771, 403782801, 522848007, 597235723, 924714554, 528199624, 935084440, 723230261, 805922078, 320792313, 208047847, 661970446, 593649634, 635445141, 235988523, 888060520, 654891089, 73679324, 312459765, 181157053, 299001923, 788925826, 654920417, 25137157, 437027002, 393177638, 684566992, 60442619, 981524126, 45457774, 646373077, 957731351, 975878224, 488153934, 300774886, 464964997, 728252322, 600174637, 116260650, 57165149, 556680201, 990504253, 920420021, 18705099, 110449720, 986961003, 1020875881, 789829224, 183399540, 135139268, 653081701, 316692348, 1055261045, 264838568, 1025404080, 335641809, 354742798, 113967406, 496466017, 453878084, 400547696, 802646917, 619265073, 777730846, 464032989, 612324247, 200807537, 473304658, 310133820, 344016254, 749658659, 380839166, 419323119, 603460374, 349635413, 13513791, 595127139, 407060971, 349526643, 100751299, 400970004, 721626168, 713127342, 786239575, 258804966, 139024300, 649975087, 37936327, 981296546, 365796934, 1008002541, 307354019, 360145371, 1018690574, 534536447, 209229822, 1017205610, 397800892, 185841212, 521036581, 839174312, 513510051, 913638536, 522451345, 416637119, 126430119, 590686299, 308010907, 896818921, 955932359, 160267004, 87295314, 421644028, 880095537, 347958694, 75028014, 578097913, 1047574805, 360926422, 726835926, 582760212, 415727790, 1022571483, 186533425, 825951142, 1050239333, 881143392, 713277491, 913343868, 654021387, 539076816, 314739843, 298887519, 768724574, 453623421, 825325961, 251256271, 905736115, 267569237, 802385268, 179635912, 26601493, 466061422, 366602914, 21888686, 531034436, 1059942172, 76506582, 706978801, 837977370, 874879940, 207568477, 807001801, 1052500926, 262879531, 899202684, 470493601, 575799300, 739581914, 573832460, 594513320, 90163749, 334591492, 521715154, 807265998, 675907533, 64576371, 108894219, 475928531, 763844676, 540165333, 281959816, 392173474, 693999596, 16066588, 96502120, 415348521, 198153502, 549486884, 437882283, 436126306, 852735652, 415408141, 204051165, 533012819, 592830245, 132533399, 305186467, 1012834492, 832662194, 1032295613, 249472356, 129918527, 32284077, 182904708, 1028204614, 599067794, 396652294, 147038138, 954528048, 131479707, 601919904, 1045623207, 53755432, 437264863, 57827246, 459514777, 184458933, 228495718, 652584082, 353514523, 767530252, 646126344, 1018609641, 549857999, 112914372, 501780430, 833755343, 513447974, 224344249, 244202481, 106124999, 1050028801, 712657723, 173633752, 256133492, 728916459, 917736868, 127999652, 847788737, 381485181, 461782771, 126372212, 804901319, 935278504, 560108727, 567204034, 28126942, 134029949, 711642949, 502223247, 179781682, 879641002, 826163405, 454226143, 865753442, 360835623, 683117363, 699462137, 389612113, 348076599, 638236240, 70546565, 364857661, 92620057, 566907035, 229937965, 990785908, 641967100, 989190025, 173598459, 952354269, 422309944, 898432077, 205197797, 744099630, 162399950, 182967619, 490480498, 347436856, 153391098, 811431789, 637102053, 490540934, 32190341, 760107566, 709603548, 421487933, 593466474, 159762204, 609951432, 821919888, 779058044, 644734335, 135965342, 342505678, 704429168, 133722175, 254373206, 282896114, 780183785, 868301767, 33472785, 933787090, 402569402, 45480385, 684158838, 70234913, 590776419, 410564535, 893073518, 1003227203, 178721891, 399484078, 876086942, 19251209, 820629375, 754220729, 467072704, 1016991914, 931486694, 4815107, 686415728, 555597166, 910911611, 179771177, 262672229, 869418429, 248597184, 94646654, 46774660, 341512722, 418971177, 629712597, 69605652, 176873586, 1006175794, 295493800, 378258832, 291624514, 923924252, 1028559216, 705006855, 694497883, 997594064, 1012712249, 1001611284, 425975556, 148279452, 1022137537, 493570715, 495873943, 601071611, 1008167104, 414116726, 450798828, 911686693, 617679180, 192190275, 335153011, 539833014, 507641201, 120648829, 859225012, 403070534, 353361429, 128677127, 335126039, 110862603, 934728229, 807596776, 955805024, 573198531, 439053124, 355499128, 1057068057, 601989277, 121139683, 967119828, 851514475, 827105959, 819148677, 271321871, 675921184, 422797845, 185370396, 698907337, 965886877, 934719396, 535659113, 770529263, 390998737, 1040132324, 803306882, 364999428, 186058828, 971437398, 739870129, 619352319, 546281949, 494918797, 269592470, 283482540, 758073226, 198481731, 727017889, 725464082, 799498004, 784177264, 159881487, 422764303, 691047325, 1066906565, 332224009, 810277249, 789005272, 432948511, 450474113, 1030794804, 725501422, 639359693, 402846161, 493199920, 184948096, 438951027, 189344376, 772695317, 947513944, 820414898, 611584491, 293428863, 932285976, 495028287, 556553453, 954331055, 358258476, 43780315, 616956843, 649464102, 712280076, 550195140, 241024517, 287162917, 691881242, 122261111, 794657320, 158444827, 499195433, 153141340, 984593129, 75565318, 547455824, 519348656, 491133961, 540045258, 100918545, 342299425, 217325113, 704077118, 300848213, 990777512, 656382557, 638296072, 568386093, 444953102, 808035570, 331484847, 639307178, 207801479, 390308272, 955121398, 619201240, 628618336, 678929770, 831647781, 1013159594, 405067070, 839965115, 292774068, 739158453, 364430520, 82888480, 206339240, 407329603, 330141072, 657969632, 504854831, 497151077, 405341838, 293007233, 1035369001, 303419209, 450800502, 538762798, 1050989986, 573957741, 37087167, 126209652, 1030881720, 833586601, 120649121, 816147382, 664618708, 709645833, 956243976, 935589521, 606667605, 905067862, 938137293, 1059375855, 700679902, 899743334, 714784745, 35347075, 281501395, 139642955, 699286134, 869196563, 412622206, 77643191, 989132282, 1044070085, 737606988, 700522653, 348603686, 1056834620, 994440767, 715686027, 997350206, 951122592, 440783807, 1016577437, 597911341, 496242581, 216448701, 487747504, 452385875, 193053499, 970346105, 688666303, 1004945547, 403059827, 1050741471, 791715306, 564169028, 233846156, 468476928, 298508982, 518661805, 994043351, 871865390, 896471637, 195438038, 36996182, 453262982, 911094964, 171104725, 554656712, 341906627, 806269964, 447397818, 464565361, 1052436647, 529943747, 367639338, 406853456, 6498156, 76112754, 715000822, 254943111, 398471880, 15213029, 792471764, 256475954, 637646966, 729165355, 967926382, 54545935, 804063142, 485598876, 164935286, 116007661, 533070567, 644847052, 1025441180, 95710542, 776412252, 937427736, 944020693, 396418540, 960389322, 716265308, 1030545114, 244849419, 473336564, 404924468, 578588325, 151730517, 493250545, 555160332, 675351509, 108296186, 1049903618, 519818528, 317599371, 624562859, 1060257238, 778034765, 907968505, 372716660, 820737478, 186354403, 325949165, 548206994, 384181451, 322269492, 551533788, 658139320, 556158131, 387509325, 182669270, 707126524, 508270393, 529426091, 129554567, 124509590, 466341905, 716436629, 491699036, 228676640, 1060863079, 555355207, 957466480, 626403241, 820702430, 917513989, 33871331, 128490611, 975217675, 1012267428, 935160770, 57913721, 972257679, 366582125, 448720534, 27621199, 822696943, 876733826, 89851287, 1059203378, 769799348, 769720573, 559865295, 693484022, 561288218, 330580695, 1047583201, 44069224, 325896131, 960557786, 29363090, 597710844, 427779439, 1676006, 486498332, 753462331, 677602722, 433002868, 821231449, 589312788, 56778049, 811815142, 1050441655, 604751196, 845608946, 202796981, 177155501, 269250864, 1009019503, 745959357, 794285402, 563626995, 232190004, 9622012, 671238877, 1053605010, 875508555, 233759804, 640347334, 37689945, 411285393, 359463426, 969231543, 877280741, 682531753, 961791555, 626824319, 625505282, 261752545, 322098421, 145616353, 59902813, 1054499355, 238765807, 532470582, 191279554, 228236736, 644073798, 381246676, 494509577, 870870562, 949445117, 574264392, 253223106, 286819620, 577976021, 834227664, 19364090, 758489914, 961849247, 578884805, 437281775, 971334502, 1054720938, 1032454198, 176405726, 1034184313, 707304638, 183610503, 999352396, 454477464, 410102833, 623113660, 173656962, 135917811, 559301987, 508185386, 585670435, 838601334, 259004915, 777153381, 959556307, 933894989, 98257814, 223907559, 1011177706, 189885325, 941711687, 829960921, 214976545, 959604342, 374023331, 855078755, 198306710, 314610872, 860783741, 215890814, 426821482, 199350121, 632255453, 423691201, 270396159, 211178924, 755246297, 478247, 992913972, 202425074, 966388970, 78599226, 1069779655, 1038329606, 431640626, 531381641, 897146816, 313370093, 918285557, 807049560, 619294029, 986872050, 656019936, 233100935, 131506183, 787072859, 171236283, 24577548, 448765108, 411696069, 66680641, 253306413, 308730885, 264550890, 339871946, 499001558, 28580928, 613087195, 900693406, 463034832, 241730111, 818029371, 1001660605, 344227548, 896315881, 169117068, 949858562, 487487992, 45496503, 941469533, 55910442, 1061538933, 613962798, 724494580, 762653255, 565327373, 30927999, 106169701, 617911945, 202811758, 651440680, 551989824, 613691854, 536241854, 952124346, 1050293505, 286549409, 399381479, 801875310, 431376875, 281436173, 19605083, 921592735, 159457295, 648468159, 702850909, 679193917, 204273157, 893874676, 61457116, 589270235, 498480111, 71876321, 869272187, 136969731, 130394602, 330647461, 382294949, 457292092, 406155055, 298339108, 1012226557, 633048970, 956916660, 742370114, 796630322, 902433691, 47426286, 676989371, 79743648, 693210433, 267573066, 889986085, 332770676, 748427649, 1039894051, 466821214, 756563029, 918073405, 522524707, 958926380, 394736073, 293227732, 770590870, 158697327, 593756947, 1009243233, 1019774298, 1023586393, 713242025, 145984028, 833339201, 12543975, 299913421, 80162197, 425704776, 145000436, 148886046, 533131695, 34205143, 1047973977, 134844885, 653468430, 410361195, 828306669, 748393197, 421754730, 836331775, 1047702725, 400785871, 240790993, 358587047, 977337069, 268008303, 39121060, 882118169, 735592587, 710953157, 926521690, 288562476, 924573977, 648474015, 774065920, 455841058, 1011231301, 355975717, 528456602, 124206781, 469467752, 987759097, 292454757, 598894496, 33197138, 583550320, 830627337, 137466968, 393090153, 15614694, 53390041, 749462282, 11250552, 174460952, 712231043, 411697225, 590502663, 612935493, 362637652, 931872392, 8949404, 899802049, 78176344, 993978949, 732913148, 309399567, 59545115, 369199363, 982425459, 307902052, 312690969, 991867219, 96140958, 441723834, 340066263, 57366821, 721636208, 438625493, 127206147, 573877546, 1044925464, 187885549, 296108941, 675926751, 44794135, 302929095, 837670446, 80133113, 378500309, 636886073, 585383129, 656225276, 900945653, 771775706, 234413243, 928075169, 869914601, 108037262, 612578965, 1071989813, 74391391, 838162651, 581038442, 38953835, 778366656, 636068541, 291419721, 412731904, 955514469, 104836350, 517109275, 409383494, 181624858, 157319180, 478628000, 495759942, 798492591, 306893154, 349912821, 527282026, 369351750, 789917658, 985498293, 498864546, 65530543, 649498875, 286760422, 121895946, 319278985, 862133640, 32245278, 299446985, 403892610, 78951430, 413291508, 711282445, 750525382, 599474918, 925429690, 392549741, 471455658, 561431613, 766223935, 318034677, 480163599, 347603118, 624669284, 87338325, 492319355, 569192003, 942924046, 853315707, 221258012, 883382264, 649126398, 760860680, 1029604122, 924903814, 733735594, 326878143, 526514145, 2799424, 124879075, 1057230962, 169719628, 992337200, 799735635, 548495028, 625680486, 726865408, 515210947, 491890663, 592070866, 6329214, 754242367, 396038075, 710198126, 540535199, 539160320, 209426603, 159249893, 993414598, 502631960, 205527976, 449410716, 960396914, 206104157, 159164356, 743246673, 345455064, 711623219, 569172914, 442137514, 682818631, 297246329, 496335236, 365190522, 374094813, 684692189, 320135957, 387006091, 503735741, 17584679, 258201869, 80061037, 636964172, 4628439, 35442983, 697734675, 18082529, 185812543, 350520310, 537379268, 732531808, 80009956, 711493095, 276204990, 292243873, 855438937, 393095143, 207871707, 798091134, 536205417, 708046815, 997272053, 552662029, 906937300, 125365224, 685497008, 734202971, 942613566, 209163125, 78493169, 206269814, 187185694, 502123932, 552117085, 608816914, 373181849, 985492465, 143748667, 431336046, 1058428146, 278369029, 101941503, 593708146, 341805648, 15406448, 577273218, 915063098, 598099555, 168730483, 784625734, 745586157, 30805942, 135228413, 880128388, 872145758, 744513675, 47921937, 469157590, 436800584, 882771555, 356620621, 740054958, 1054012483, 516436114, 568986783, 727947215, 20729580, 833845228, 193691375, 867691450, 445118161, 194220030, 835401626, 50063910, 687960313, 750271222, 1040278591, 20716785, 781419310, 19734880, 96361278, 912723125, 285173909, 232200045, 464328474, 406424506, 791429126, 840959578, 870083741, 43340461, 520149644, 13018987, 346457492, 273795429, 460395889, 453079600, 204325055, 474982403, 548289878, 680118579, 533310747, 775084157, 711630927, 157277198, 186307544, 1046259148, 759985174, 325829633, 463388948, 805949049, 41363620, 928135588, 753182258, 134499007, 1060464967, 510668171, 923078277, 589910538, 607386103, 378132271, 663190034, 6516377, 1071474611, 290326229, 153657522, 1072939954, 557701105, 31193573, 195443164, 259177435, 959985076, 466420160, 110841728, 85495472, 758672105, 786883480, 552476802, 680103943, 979412991, 275415110, 419145745, 23067555, 1034020692, 18852894, 112600675, 220467980, 892775047, 970868556, 600154849, 741726354, 509307956, 513823126, 620559126, 353919771, 859689323, 864797584, 15434170, 456470340, 217382092, 571088899, 187008381, 199448607, 1061860962, 778366305, 354768863, 765338590, 285235947, 750457597, 801261038, 30737458, 659217118, 74521962, 930663745, 1042992445, 276965205, 115821675, 947685862, 159079384, 459721327, 760404020, 408104659, 192782612, 46417804, 575135385, 494770545, 863346137, 381464587, 261020239, 508879090, 713035074, 390074608, 812129874, 750011061, 94767797, 666512305, 825268224, 90933052, 471743903, 110525359, 492689909, 712779781, 604753936, 583993545, 148388164, 542868152, 733321584, 836064362, 675968934, 12060101, 990065839, 84062789, 622471866, 1013796866, 677740598, 534813722, 487004390, 882594671, 577642400, 849782296, 347076612, 572558904, 95714541, 917420978, 821980518, 197343830, 609992213, 1066219389, 606600696, 602486993, 1054396261, 936356462, 69469499, 167007485, 218199096, 813301829, 18549691, 695739993, 510649298, 704483742, 556896342, 434587686, 194006316, 1068650564, 384646649, 806121200, 347733673, 582068425, 911307747, 165073980, 383535374, 485291620, 84206379, 991211196, 896096040, 681178171, 774400938, 184392936, 703016902, 412116305, 890519844, 355990573, 266511846, 519443052, 862786312, 968530062, 370426982, 909163204, 87977075, 247888706, 264242610, 393209181, 516209432, 770063800, 576540469, 447930924, 923087724, 298234842, 455029471, 953304549, 264099788, 68858148, 117433866, 37228665, 1005325359, 20068991, 881960319, 37440880, 637211997, 268600115, 1033239690, 698960271, 137762732, 873862884, 189469168, 357900711, 165983643, 502614250, 199518132, 699521363, 925035208, 573805006, 372274357, 514975471, 1068466701, 110473815, 703746501, 676698535, 643464517, 384255135, 291732433, 523161667, 1027958387, 1060703255, 50850095, 844796430, 1033844096, 811380549, 1022157612, 639739119, 62229623, 1025282520, 486399339, 438982653, 382478400, 53118129, 152481436, 681051057, 653618280, 798200155, 411456136, 188865474, 752812613, 173578042, 656145495, 393354989, 668205366, 320522925, 1022600338, 99415961, 783386200, 369217457, 1403889, 468562908, 218811475, 391905673, 347353692, 839316548, 27622249, 975200353, 748925257, 618547683, 1059481234, 248643064, 1069502925, 685096712, 1022945853, 1023101334, 163444549, 259947476, 871225883, 612168972, 117546002, 37873138, 803182552, 592094507, 1006059702, 103574132, 9960284, 382865884, 452223561, 142820674, 874727678, 119011957, 825799853, 175251400, 880186650, 632062361, 1010171688, 799521531, 795829278, 152386941, 541940807, 687270889, 319219737, 325634193, 259214950, 808349468, 196591767, 195257420, 970598450, 741788296, 155236997, 437254900, 285381966, 511307822, 467644989, 837963354, 289924163, 878454427, 398137073, 490467066, 453131778, 415376168, 964008961, 501316900, 76144004, 999958488, 51871805, 265263176, 246475826, 734157530, 614575887, 308923110, 699718326, 575696273, 340795683, 697312866, 864711155, 290563380, 387932647, 234714428, 42809671, 578150440, 241426377, 716788467, 852165474, 473962647, 286975436, 920125631, 400790319, 413676234, 534290999, 584787680, 264430691, 640434588, 345252027, 783206500, 373507548, 429272671, 489951713, 355484739, 288917695, 266815903, 294934663, 571271641, 1027130251, 154554735, 307359512, 940122001, 509253562, 109902224, 1014025444, 1071785087, 837250340, 246776313, 362379588, 692547175, 421168740, 1000187123, 638983516, 346890194, 37106549, 451276136, 140430267, 315303972, 850735570, 217294127, 283836171, 855728085, 770785669, 402454366, 307917287, 741546097, 575298840, 9554627, 407790064, 683425085, 313125446, 949742977, 1012519484, 1030296087, 1040719831, 20838484, 864082075, 91892706, 930470942, 6830275, 14965037, 1038185481, 812579323, 772337392, 582234703, 495719929, 604341804, 138432574, 440846754, 859834373, 889401079, 270625678, 185786760, 659629056, 985876583, 612170510, 1022734158, 364053940, 936656032, 1045635777, 708954680, 1026506325, 167403747, 134342041, 791683584, 389187662, 707661526] 2830)) + +test8 :: Test +test8 = TestCase (assertEqual "for (minOrAfterOperations [442771833, 948202144, 1073212693, 936297336, 252293459, 675286744, 744850554, 479424528, 496042104, 814025435, 755447888, 744678234, 478063415, 646557751, 1016556152, 712394720, 254169261, 1052243242, 924949752, 830986059, 251602690, 864047696, 729396783, 988563475, 330091186, 1032859847, 660020953, 797514212, 832932434, 162982869, 243584058, 773097559, 636166832, 600922654, 772120767, 464790523, 648399992, 175779423, 278821123, 295339670, 307594097, 792223728, 681675335, 699026349, 723750137, 15357680, 908216538, 583639267, 546792479, 760967564, 74600801, 231539702, 385574091, 107203421, 503043673, 1005124610, 152723078, 64716869, 759282956, 936646615, 368649244, 866465129, 686699967, 1052341371, 952765555, 601492041, 950026320, 1057559755, 781246889, 273606437, 423951857, 799974818, 211920045, 452371415, 746995195, 313295472, 32526091, 47777104, 945548904, 812996678, 512990659, 845593469, 943804710, 898390405, 674512771, 383319973, 1054625537, 613946127, 968288617, 801119065, 480726467, 679301845, 992059686, 70961143, 21890989, 784593299, 637242598, 978299138, 149255204, 251306898, 358957016, 820951444, 56655336, 484290193, 938157880, 263052364, 856288095, 200688855, 44015028, 247595340, 1011121247, 515203093, 907918230, 780005936, 114010715, 142526046, 670776509, 957156802, 531461029, 392149677, 271782553, 1056965451, 746548661, 137531935, 360739412, 674789381, 803807320, 347937124, 62531977, 436515097, 673745839, 709905846, 834260481, 313897426, 638606566, 726319303, 665506882, 545637341, 519160813, 123665330, 720150763, 558843235, 224249341, 233542943, 810690268, 72411494, 559964882, 334551027, 519648088, 164416287, 1034094064, 719720970, 47490628, 193764155, 97953415, 530679635, 731175461, 706595494, 599870845, 56079735, 775989596, 900121406, 149016073, 268895277, 449928191, 943634041, 803651846, 452629238, 940797331, 450817053, 913628666, 290357091, 261763773, 604115247, 692598197, 990559349, 262971565, 138464499, 681321879, 102071825, 613335950, 697601645, 607407806, 289021661, 897644859, 926324368, 1039601658, 218738253, 1031636392, 327100417, 237533021, 467388468, 844302920, 299942946, 973104127, 139916069, 942927785, 878413246, 903955072, 564793165, 76557932, 219718923, 376720063, 861636199, 789060276, 327826326, 106947856, 23442720, 420762560, 535996713, 173096416, 90776334, 500870054, 962266709, 315225596, 713832237, 658133229, 725409298, 912968216, 627711265, 808773525, 988568385, 776986974, 574698426, 917827816, 572893585, 745229977, 478372848, 816741803, 634466377, 849162687, 977834887, 986418762, 386502663, 47221495, 650350363, 222637919, 169792323, 598283055, 117319034, 481700950, 1016282626, 160837280, 31887194, 844747185, 241628076, 855484588, 387723086, 187491960, 166151006, 172172281, 986854295, 1034487481, 954064977, 601031782, 289234552, 325448899, 417108869, 621221783, 787303075, 1063517522, 875454570, 243015304, 45574846, 605611042, 679121898, 597310956, 808354297, 696082484, 1056617369, 409791900, 780538214, 817215955, 928395352, 146787513, 575782834, 689057444, 95779705, 103691996, 620367758, 612362740, 414720322, 401818313, 346831002, 703764857, 705064667, 795977831, 163590298, 101573118, 160766547, 360604285, 1037564377, 175039611, 1069939640, 682697964, 536295468, 653613555, 445741100, 278404945, 118130627, 864588362, 950980090, 637837817, 718224955, 31292580, 774253590, 25636821, 88785569, 274108959, 965422335, 531328132, 147882666, 843615406, 688343689, 961499052, 991917779, 939932189, 1041987232, 495471905, 319001189, 47020123, 731439381, 1064123555, 607589770, 78817300, 803252903, 673699373, 915084549, 1011364413, 742434152, 159233180, 606064629, 848229811, 403688971, 1062565370, 133926657, 265953698, 139867690, 847318143, 493026680, 923069232, 504239510, 984225903, 888837990, 106287446, 347037898, 309469084, 428955194, 128607349, 1038715428, 447869982, 887815678, 279289057, 131401404, 532399261, 127400086, 232578281, 1014987889, 737060986, 356193838, 655814768, 894178241, 458114698, 92555088, 615234974, 1000702433, 229378651, 503879501, 654023046, 232667468, 826170313, 494567379, 270651962, 142527111, 688135497, 1015324604, 541204327, 1034098073, 20752862, 76177091, 576142116, 346244356, 440999234, 681265217, 274037088, 878380226, 152620068, 352138471, 565556667, 424682106, 120877159, 139465340, 718093776, 489346436, 826029391, 302641187, 665050861, 757546891, 847716053, 823682925, 967124491, 568239953, 805238214, 621053823, 770552456, 417161330, 365606823, 399149478, 952501489, 1033419553, 342376894, 186924488, 552479095, 156562191, 434932986, 585821552, 440320454, 308616796, 939066488, 665785518, 817961108, 478172067, 305749253, 550366782, 159301228, 879915022, 402956434, 1020259696, 693318480, 330041841, 919111504, 374452415, 1038557761, 774851910, 1060135328, 857594722, 541874928, 171274662, 423635494, 435446555, 711212463, 294783757, 646111925, 509450283, 472638596, 345539143, 915500400, 751363342, 260515627, 282670082, 413154385, 481786584, 305248111, 42620278, 827743149, 488257735, 662744953, 526231666, 738101955, 869946859, 527378214, 858751565, 306539875, 90254176, 126789553, 676684814, 132696451, 743227048, 893768800, 1070393401, 841640585, 1017143931, 523797527, 7207962, 967325498, 687085312, 417850355, 29648528, 1067313829, 326479800, 994445417, 417681365, 955670407, 492567837, 302231216, 428527156, 773021712, 226206528, 131598548, 898412740, 260255245, 48823538, 81245956, 81938611, 308941825, 849771852, 69578874, 609546294, 735837988, 548617394, 413518228, 23014114, 218850136, 805504152, 293498547, 35213322, 380116200, 1026927753, 264923601, 809138002, 201467806, 399858646, 384844738, 515918830, 606996857, 384794703, 172363277, 667481013, 84407307, 292058872, 660065391, 237934302, 133807565, 201556428, 892408148, 993200526, 350809199, 4467626, 814235314, 530191929, 510994708, 499550105, 299751028, 624701526, 638593804, 446077235, 630908918, 253235181, 82582412, 817271947, 1068394931, 953120552, 397468347, 808033167, 76289139, 1063244003, 214994043, 41195669, 882534062, 521086732, 369425067, 147889358, 698000235, 101648271, 1048308387, 323439888, 580128839, 602517339, 496771151, 343739074, 188541894, 1014057301, 185295337, 934909817, 431984991, 668730484, 957512227, 291418851, 313989946, 492357060, 846714028, 692370164, 797980648, 450975703, 707452444, 399313848, 404123071, 186423080, 63261791, 708664080, 195171252, 514511259, 89818911, 835347546, 182682794, 778158761, 965519233, 587615671, 124699100, 2931572, 520149915, 10461508, 91267328, 640110614, 821883931, 516739503, 620890411, 274721450, 346971202, 229341084, 517308957, 928821345, 1052302263, 263470269, 32944360, 189709400, 464078171, 530375816, 261315389, 488209493, 683361111, 628146738, 404438706, 22012624, 347509570, 75343048, 442156103, 16238567, 550119716, 129446866, 400931901, 846284418, 707535441, 329972131, 501705551, 610082987, 717134654, 529872307, 67613990, 523871364, 107492981, 1011152047, 193559265, 116426614, 979301448, 1068406416, 261946401, 755840272, 170691057, 737997967, 536976347, 548010622, 1055408708, 195964369, 197762792, 678428767, 285813316, 1020930382, 25123613, 350120475, 561923894, 939089483, 315634737, 449800152, 920604996, 958707536, 541018908, 834265648, 539236001, 320193689, 976079025, 488870252, 245147154, 530132776, 1023133150, 521409808, 411570489, 674120244, 440711977, 402508715, 827303002, 491642263, 197272850, 678471919, 982920255, 982548012, 339502077, 673026262, 137752522, 909021327, 888450332, 555533970, 262809618, 723216133, 405991942, 611293043, 479085886, 582818446, 235823842, 709625481, 939331378, 763317228, 183981752, 240151835, 505224299, 217392263, 490051025, 695327858, 843564105, 571549007, 761496906, 628423973, 851781343, 790320896, 836969659, 322804038, 379365864, 1062486538, 309726561, 118229534, 657327791, 668857184, 973714238, 736953889, 1072221283, 138294443, 843649484, 973277961, 73406827, 198556492, 371849516, 249062563, 782728352, 707066194, 329960845, 65368452, 23461959, 90248283, 911311364, 1004449121, 1002145918, 311267270, 824280256, 380421193, 414642179, 297621499, 628147180, 480697031, 838712786, 1072855518, 177047775, 505798415, 124207014, 52909354, 1029147860, 383025785, 689442711, 145866386, 452510399, 300072855, 45510913, 844488844, 252544115, 467313470, 786455208, 789439343, 826539810, 619683688, 370014618, 307851462, 466800372, 180958518, 662987801, 136715349, 193408318, 166988456, 711235663, 245476523, 222091251, 976789103, 200413333, 812699637, 212338868, 549487252, 622136313, 365770872, 596721076, 15327850, 257503955, 538083706, 217994400, 251430698, 620158209, 551179159, 713539697, 313198707, 665232384, 458706439, 753727214, 506205409, 736353979, 1006517940, 261753574, 769093837, 34136437, 563961965, 1025940079, 743622604, 162816014, 586665288, 1070108756, 292886354, 188353900, 643143589, 650158565, 584890989, 892782176, 460425726, 897796472, 393574504, 36638887, 902673105, 701620628, 391631664, 761225859, 143222854, 205449928, 200382284, 480067450, 54017729, 246494073, 293247325, 456465275, 526887503, 701976238, 12074009, 187586467, 231248085, 780557252, 669849208, 228779933, 1054388790, 642578141, 301086614, 571897563, 464254364, 533688641, 1016492078, 1066827986, 12263665, 967806060, 1072998518, 752791687, 577327882, 484231585, 561393049, 201487359, 312060599, 1016085575, 463965760, 1058532705, 492254943, 192390175, 920640411, 800167300, 965110239, 965085638, 1022950040, 1040270820, 545296309, 152451286, 767887912, 800277599, 402100010, 443527135, 21390755, 289202892, 396891961, 792446281, 34906825, 171614728, 475724740, 4019311, 811935875, 242047020, 803231113, 934245392, 997926942, 1032796028, 16659864, 424292207, 174735949, 1034765362, 1000823459, 326651824, 274532407, 532282371, 303460995, 253511318, 629442242, 479452029, 624875074, 77846110, 302533675, 506850411, 903702754, 502548187, 1026066945, 835470289, 641075209, 523369825, 485862201, 2300178, 763602141, 558601342, 248415712, 1069345974, 324665991, 205570715, 42688037, 553891636, 469724109, 740829923, 495609303, 921728264, 360792476, 249254882, 852494574, 1002133881, 95922542, 914377398, 746589482, 181395910, 3877426, 163567312, 456495065, 168039379, 931211211, 589986120, 488009917, 715846427, 890374158, 247787133, 746279307, 888687877, 357837000, 392527031, 632333728, 565565115, 983300821, 502662468, 449971112, 800413644, 690188685, 883364770, 722710293, 323438468, 813489836, 860772937, 895296540, 815228995, 996886886, 915438062, 557910750, 601052329, 155557223, 208122802, 578859130, 602132285, 632153930, 210246581, 752990276, 658572872, 689417902, 190410409, 29826761, 327699901, 47404999, 642261968, 184468579, 673057042, 952472671, 472605469, 34575322, 153517385, 844871603, 29120414, 460397634, 782497809, 53890546, 608015321, 1012921405, 354596812, 52750226, 1041408663, 270141874, 410130159, 964118173, 352112361, 206020040, 409772006, 127654863, 836206539, 503343888, 167424049, 438085099, 254789676, 359550869, 183500877, 782169599, 572467382, 59686240, 419023938, 399140512, 876465983, 63027668, 1034521361, 203455863, 66731394, 442150807, 210412953, 931980248, 296392846, 731867394, 966097264, 881308314, 990633998, 601734812, 403286928, 455744886, 99400071, 681138351, 715227217, 345969888, 947500411, 48186684, 729986675, 1012737685, 103038732, 585800802, 599843468, 949785757, 595371698, 569635248, 342532842, 1055173940, 935476619, 203449562, 666397653, 189901380, 920683462, 577193464, 249480230, 317934470, 363287786, 997631981, 449559682, 1020100651, 1049488174, 864655693, 644761304, 533357934, 728098072, 10695701, 390209177, 981877763, 872579923, 561886694, 591547922, 37044415, 223392971, 690406772, 406901000, 368352356, 801778641, 872347478, 809388436, 831696966, 940956261, 147907099, 734247432, 503548477, 133861879, 137887602, 21142275, 665259848, 322277150, 368411205, 635691104, 377298069, 196599254, 513850734, 258182364, 520856190, 880796602, 274588868, 595110225, 824301727, 932697551, 257642353, 934596696, 734541026, 208421941, 668166163, 610597364, 233726206, 1037026111, 454900880, 878595571, 19031767, 360189007, 586078636, 571157366, 1019713269, 207041127, 476039854, 512551009, 216787508, 435367262, 217806702, 1059309682, 66060486, 821514459, 1042729312, 153565546, 380200995, 342816265, 24247180, 391712289, 292094037, 1072382703, 104870872, 990885831, 826138394, 91013125, 878539196, 466394372, 991788212, 579268119, 9992276, 690035371, 786139280, 122212994, 767271173, 676773068, 456513720, 982433591, 652288438, 497060296, 443734301, 81663966, 166248534, 32465966, 363639863, 147663373, 448636936, 240293094, 125058480, 244099286, 381915121, 220220273, 256509868, 82057621, 685320606, 139653264, 161051665, 360653025, 141541132, 806596122, 1005322216, 884636048, 587081920, 980269433, 230981252, 525304928, 679321104, 163736244, 1014925621, 317040567, 224018299, 238311081, 1022419720, 235592750, 511393143, 328725479, 510541940, 123490817, 256522240, 231167878, 285211521, 650913477, 667577141, 1071190831, 841398752, 239749150, 967275261, 869776893, 517116424, 982214085, 266737077, 216491585, 375918305, 347871642, 489100488, 473643874, 56722942, 870182396, 919704552, 837118245, 895033559, 472868650, 847117049, 980404483, 899281418, 93455840, 314752950, 412100326, 83158712, 130118009, 995310402, 159986779, 314363539, 27653877, 756552076, 397328541, 1009358361, 938283382, 1024182259, 60445998, 1029471354, 164381300, 569292795, 726175722, 305932087, 388008085, 951371895, 342395252, 491728903, 666985505, 1029453701, 906120285, 640329546, 1063337298, 1051726119, 875758277, 306758583, 136186125, 1065259912, 289141099, 740205933, 189847774, 954010059, 291286252, 697152139, 399093892, 796331285, 732534146, 778880905, 245002323, 646557353, 623728235, 192682671, 1055612052, 217916165, 324907526, 812715085, 206784913, 708200186, 957999360, 277023356, 251528913, 34324546, 664048083, 707553467, 302024179, 74165382, 9672901, 687731118, 14864982, 550250898, 732313592, 863432248, 90113937, 841371798, 269781587, 152001877, 351196647, 39932633, 523924681, 186393313, 237761821, 325154690, 1048428358, 814094147, 385748316, 631064501, 427321836, 274907668, 601186033, 630677293, 894744208, 242833586, 129569252, 502788908, 517353622, 189257360, 570415534, 672003652, 194670357, 765594446, 77525390, 784088115, 890850681, 555509623, 97220556, 820258568, 263571765, 690094587, 1003372976, 227575227, 257497726, 112416556, 67051359, 62478647, 168545018, 644967115, 681162010, 150117407, 888711155, 471295280, 560705349, 594674888, 157010737, 895656930, 528444711, 953493402, 820157727, 313879073, 488977604, 733453489, 127847564, 493234534, 224119293, 312320985, 629965474, 343505707, 435863452, 1041087803, 457173175, 422287520, 351805625, 957716711, 147555910, 212214811, 146665798, 401453050, 365716096, 22081175, 885274811, 680095733, 741279153, 226452594, 543819005, 326360143, 645285202, 718442249, 1034271401, 88218397, 1018927010, 1037050267, 990632241, 307724029, 203119136, 397156292, 948707237, 652407505, 301392685, 117649593, 159105416, 493702892, 1047987762, 85545860, 1044557450, 749733111, 241465186, 419537234, 181277706, 373831116, 667241061, 585061063, 946153335, 480725773, 1042685587, 1038789364, 375770171, 938927749, 629148173, 249809061, 20429880, 929750003, 810838644, 630371540, 1038819408, 1003910618, 868057823, 207157105, 983809662, 943892478, 720992283, 573923321, 622242798, 924924421, 563623738, 1007424338, 868617735, 477212970, 936251935, 913638118, 188599629, 919223367, 177859518, 373663162, 944635105, 600725975, 16530173, 206613690, 26354355, 298756073, 119507484, 622048917, 419311362, 627966608, 877331849, 70741639, 22614197, 309507994, 320036829, 574495233, 431233776, 164174475, 904799668, 40335531, 635530312, 679175035, 362216331, 1026135286, 622880560, 132208024, 773715181, 1056268658, 237635106, 620902300, 396796117, 205977086, 938338781, 1019227371, 1032532105, 408819075, 878190297, 315164834, 535974551, 283533268, 259410149, 106480902, 700490644, 582157167, 82918643, 801735758, 1002477169, 438749676, 1039163160, 27990361, 742920007, 93216750, 655135625, 812247476, 917029964, 942368484, 455471473, 861594484, 547575310, 953388130, 1044416802, 910564464, 486994856, 492573038, 301008681, 245135158, 524399908, 1015516754, 151877509, 260840467, 60644031, 879925177, 981735635, 273451444, 162855024, 565658814, 965679692, 234479770, 730322369, 314094949, 190419786, 332689750, 194684127, 920108243, 34592353, 920211908, 729618321, 319752886, 598465453, 1027285219, 496491422, 512932418, 260454362, 11645351, 464849510, 47733269, 995621858, 610514519, 559989296, 446068135, 897420546, 82216989, 111407465, 548387938, 750292320, 171081649, 143601529, 684029111, 89952230, 613127369, 957098879, 473099654, 672224015, 644556803, 1010829031, 1023161006, 808079755, 1062781697, 1009722363, 892459431, 407149161, 1038906280, 16934336, 786374819, 762418120, 243881006, 532800293, 226365237, 428709735, 284202679, 767831372, 6021474, 658323213, 217203335, 927562056, 935324073, 235226524, 970283657, 761135690, 267578780, 765214530, 824186480, 824365495, 258173182, 736286520, 950989086, 876196640, 451103278, 508313241, 854414324, 54214978, 231173965, 888580114, 1058731535, 94187646, 593040458, 461060328, 429506569, 979537961, 647303778, 183877352, 12911310, 315840984, 192934379, 763314488, 946198557, 481972608, 480220454, 457653119, 613810753, 247633037, 947615091, 749132751, 81922117, 571319272, 485912541, 115386737, 461527978, 248641599, 1068652641, 120828323, 90087131, 297794252, 742809766, 1010454093, 71519302, 660817519, 444077087, 1003526957, 1068205715, 490654868, 1029460736, 746494928, 224740497, 770301060, 720855316, 581360404, 988707866, 928399905, 965114374, 745308687, 199360321, 203102721, 934937032, 744245420, 878180934, 857729716, 1037337500, 317549087, 865090635, 572079940, 857050529, 850855103, 1002505615, 319266890, 28055897, 763943211, 554462329, 668685449, 1066968994, 197437028, 145440631, 936507904, 696416374, 271853246, 816735321, 715665634, 202054628, 71164618, 466722364, 507859009, 415280704, 951660869, 275740572, 445044072, 979786926, 470821757, 484242935, 98771512, 1003512150, 334414366, 353171279, 675673558, 213043268, 710262756, 703597180, 771326630, 871170825, 659291395, 603508023, 326906316, 317935600, 366086118, 31167260, 942108758, 164122276, 85263394, 639817250, 45943077, 974791652, 229469943, 130385299, 837428336, 493836136, 131797672, 627255310, 884397071, 123442017, 225633351, 808611370, 262531786, 295095798, 567183088, 143238103, 800197798, 712171531, 961623692, 887876960, 43056950, 1052331996, 848850500, 76748118, 228251417, 925724540, 462301825, 638886095, 259760104, 882463777, 565997333, 151909409, 178726295, 424831880, 257168229, 361073278, 885420793, 152944825, 328500905, 687603041, 743794976, 903410606, 12855351, 626079203, 216028903, 92642998, 47414829, 682983842, 485617579, 756906580, 570363989, 956471900, 719965248, 967361113, 868539997, 699683014, 211650099, 1037540361, 345635865, 389347890, 476077361, 994499640, 1028291529, 834306605, 1029553125, 641050892, 477601086, 1007370324, 177792963, 550680943, 108119284, 757461961, 81584886, 48639311, 591096797, 98897297, 365330766, 490876619, 954245955, 83171034, 900534324, 577274397, 51147576, 24323520, 862700047, 809218718, 996249805, 442435377, 57043664, 287541645, 820174283, 567293118, 790244473, 352092261, 308915208, 261557043, 458441846, 326861946, 639320396, 658648293, 528666626, 506449911, 330783890, 368306108, 940985299, 506266932, 1070025838, 401206691, 72722254, 140006717, 652038196, 765024443, 77888691, 684336101, 268181097, 761580742, 280002522, 314154474, 177936060, 765454542, 699353922, 490232202, 402046750, 760080260, 342429550, 388547346, 191928715, 823980446, 856514875, 838522533, 496502355, 1028798744, 788138051, 914824516, 1037282830, 502725806, 304993183, 328173717, 948357368, 1022637452, 288762525, 751026883, 900484039, 331611280, 542256525, 472296320, 177843346, 608393631, 564733699, 2427725, 982913569, 950848240, 716521055, 447329071, 824411370, 256220589, 553541880, 606042789, 875890403, 1050311317, 859565101, 320563437, 454011631, 466699106, 597274817, 962609955, 1009917296, 500517699, 723511627, 689195448, 245213879, 638825486, 446020950, 323037487, 361294168, 883844529, 932688654, 327111211, 164193364, 676014624, 773963473, 511453789, 392747490, 510127173, 9957283, 344145170, 1039230671, 432442647, 798228654, 794208012, 352617017, 737755721, 173817985, 224651572, 97677311, 188997603, 194934080, 182625374, 315885666, 1025254460, 172124652, 236119152, 313227804, 549033687, 1042047750, 864394903, 279812048, 112168024, 689412015, 595500245, 271063028, 514089108, 297487983, 820347781, 499338638, 357174811, 745990859, 311564553, 585232037, 313742504, 911121469, 503724102, 191703383, 564199181, 74951068, 274871025, 500755817, 525890252, 303218660, 601930438, 931644479, 10734852, 751513852, 267295276, 118077265, 609256961, 780622675, 809280506, 688410694, 413037226, 829822621, 342032386, 427608527, 803886857, 158371216, 39140459, 797450678, 882004271, 328374424, 242303652, 762043501, 207409223, 774216830, 211803230, 437618696, 718609533, 181331692, 194894671, 298499920, 126191957, 332265505, 592182781, 616512026, 355503503, 273670046, 235410546, 408993594, 671784328, 112943589, 610307977, 374740973, 1022045301, 1062835799, 266149367, 135738528, 355239744, 634674908, 873030188, 165162356, 517506209, 458165738, 924926973, 204155061, 746841239, 27424370, 594506378, 50316036, 577139648, 131560511, 441753959, 764839510, 269017091, 654878004, 1008627727, 578184903, 618726534, 66120294, 45795833, 1032536720, 455840330, 844247448, 304480768, 171822288, 633211992, 32024712, 756402530, 706937034, 91816418, 340411285, 783335203, 360491406, 506672978, 156088178, 584383734, 457177775, 382983611, 456036763, 152155162, 291980061, 483130496, 876842911, 570035949, 1006960421, 714365865, 85238713, 755369107, 348479457, 392384807, 841401474, 92140905, 89012461, 421591411, 96599457, 271227520, 414488941, 307659813, 8207658, 285635812, 432288084, 847133255, 306084910, 805368057, 851748574, 528231784, 313068754, 117917386, 62720320, 335128839, 819951135, 517126964, 227200635, 476474194, 926418673, 1058922135, 595237826, 549741037, 822372030, 883678602, 706902805, 256009063, 393103699, 645625994, 428796938, 109548657, 186198610, 922536495, 1061868151, 157056376, 861895848, 666317845, 231417439, 807287368, 696708071, 25255493, 149005456, 465118256, 631466100, 507354740, 854230257, 417899512, 1052711380, 940042062, 1034957829, 900018801, 660333452, 933439034, 86208000, 278147481, 195129921, 902750326, 445698205, 622676210, 130881540, 619998138, 468190553, 576341512, 175319599, 1047683961, 170021376, 154089110, 432095236, 208994543, 592849667, 469007476, 36154998, 600504265, 112926311, 356000528, 147688311, 992095864, 58133533, 665156747, 150924563, 163204763, 1008381582, 904227591, 563035579, 334371054, 585071159, 92579272, 278423858, 83040758, 993047692, 640500571, 866229310, 857311937, 94970891, 56686452, 260957282, 231873768, 373832465, 887771144, 935917046, 184258927, 684594342, 81539705, 198143845, 176607485, 446704507, 531357648, 777837084, 546245714, 181710466, 499137705, 143841053, 390002389, 648140345, 758768258, 1014984850, 430694277, 202122768, 607195799, 942952960, 276127623, 985735071, 287019352, 659424631, 943382275, 41063674, 297193346, 920061387, 486369313, 374229555, 463702322, 1047040407, 407449608, 649177727, 743797350, 663942115, 675935231, 1002340073, 65232415, 1027158377, 460455044, 897782541, 907726622, 546529875, 48537668, 389701334, 918588348, 175209098, 929543311, 183587390, 1044038395, 371446552, 500149378, 224723368, 48614861, 463991563, 31544287, 487162964, 404557001, 378928706, 952628661, 1032653349, 259139965, 127528941, 640528640, 610378299, 514084146, 419308479, 994305217, 925539837, 105213848, 488676904, 282965274, 310468294, 213450030, 472456221, 290197334, 630585149, 69223620, 773369484, 776081443, 249684396, 932877803, 418095852, 144414046, 1040579590, 626288791, 544107619, 525174858, 641358230, 910149610, 767842765, 826216071, 170776437, 661465857, 1016274898, 623991020, 327597005, 81734730, 149467264, 79281007, 755887507, 878655772, 249124515, 122385955, 476465966, 505508884, 248461642, 234962567, 1040428047, 618178439, 575262045, 304373155, 788565720, 173210491, 1062665596, 736223406, 996113183, 978350164, 824533158, 124421554, 513174536, 234354528, 240768109, 146124979, 564281100, 64546195, 630669815, 444298398, 619218110, 689670752, 680246423, 994558382, 32615039, 908587059, 283180383, 526071414, 884760053, 148606641, 338270531, 804411093, 779444202, 613079579, 763101950, 53038615, 96551375, 691404157, 354713289, 420383968, 20133887, 301480801, 410203652, 764819119, 769399931, 120603426, 650722135, 801017704, 689997942, 701360893, 254186919, 779793851, 657430038, 887843479, 867967424, 205538804, 138354481, 289262170, 1048353694, 369793126, 224956069, 233806904, 1045929141, 820039215, 1000038386, 689455367, 237792485, 47782253, 930000816, 881303442, 597135612, 425527742, 333958360, 305551343, 298851770, 461371236, 951609645, 1016725154, 177515766, 804338285, 299526249, 299850242, 547085730, 874527047, 659019825, 231550701, 556621942, 124885701, 917103130, 673261326, 1037875432, 336208005, 6901412, 361151687, 598393749, 717840655, 762041763, 997491393, 198031813, 1060692077, 608654323, 16644964, 1020247160, 145995327, 237025725, 23583521, 837238289, 419623051, 503083848, 280300496, 847519858, 1026090128, 961281893, 309659831, 907537921, 436388635, 59063804, 649732169, 1015279568, 302078459, 677319729, 596743703, 750668013, 357895222, 762415049, 146467087, 1045835730, 1053203870, 605015135, 455783968, 139933157, 567464851, 861619591, 650209842, 456935604, 318611437, 292515198, 388598729, 391164429, 654951716, 421464679, 137359418, 659844899, 96044007, 645108940, 418781964, 543381457, 4146066, 699693491, 122892350, 745332724, 189365751, 536090603, 127140908, 61531405, 440699997, 244846569, 864269483, 1001051194, 1040823040, 410386312, 1025865236, 222806144, 180872676, 659551750, 535576394, 990483532, 986153391, 933157717, 83745846, 559328217, 327837618, 522280886, 910865353, 969004051, 432973347, 971258648, 151511939, 318183079, 760369650, 767755668, 712674852, 344799177, 534853638, 513455674, 242966530, 1053744714, 7468986, 532761952, 488271586, 686830839, 239775147, 670078304, 350549920, 721826090, 376660305, 1019680448, 331591691, 1063751511, 69486704, 966458325, 1053088927, 717895049, 1073682649, 461013177, 851646588, 1018622099, 1051663323, 900254454, 991771859, 242843598, 977210734, 965527856, 650325134, 726720317, 1050960547, 817459726, 411411929, 169760386, 392526616, 527272859, 838123815, 283171566, 1006452565, 927209547, 664230771, 871799577, 56079725, 957183109, 609208625, 598897334, 837437136, 596663582, 617942279, 752813542, 57890840, 633465915, 302460623, 557520280, 217626087, 285068696, 249424268, 622762688, 520482616, 348588149, 210157350, 676136193, 818712846, 600478717, 16920190, 494251020, 1066549860, 52653622, 415669872, 734150181, 276662621, 624042077, 943108797, 415520492, 512301230, 737401107, 714560668, 802866989, 952199285, 709617759, 6062620, 5362283, 737542391, 340599339, 74611070, 763607388, 673625681, 1043191021, 92304325, 442396045, 86470997, 133544180, 868305573, 979085857, 985188360, 354653553, 118899380, 822842126, 294230228, 746918672, 606477458, 914162568, 607857919, 715893510, 987635992, 294907971, 229029460, 544706481, 977710001, 893436315, 760765144, 57604246, 436112853, 885982841, 412171908, 896410609, 388327604, 512519094, 1003189644, 436101921, 380189041, 804641793, 1060094442, 61790186, 293528891, 10143865, 837283631, 859213690, 935749717, 151360637, 65598314, 382682541, 908110381, 222868991, 540774702, 389943704, 237769889, 455633321, 1019197964, 920112681, 69811476, 1067039890, 173088254, 734912804, 458538758, 915453829, 1033893178, 726170405, 445054199, 13662763, 9480592, 607982289, 703298148, 835279638, 298246525, 22243278, 878023602, 692624027, 147171756, 1064531052, 833831498, 863904706, 825292672, 262385537, 634046231, 485628967, 490787989, 813056381, 971847593, 1040135956, 1031278395, 339233841, 816310776, 415345330, 172471307, 832185967, 47979221, 197317909, 537595890, 588269732, 315841875, 529516102, 14129592, 66239602, 290539915, 382421137, 259734, 334282613, 325310747, 572266728, 526573140, 231372912, 787603614, 475335817, 744919667, 96827946, 337147341, 504299541, 382692810, 874034715, 757816746, 946853611, 748587869, 853231068, 118531775, 658035733, 1001475124, 631149049, 450820205, 573080806, 807927519, 912224047, 559102608, 93095826, 639590717, 230017183, 914899902, 768138810, 536781051, 734871676, 623014716, 425144854, 868927612, 12185404, 588439554, 43440358, 496781417, 264220289, 711657570, 681166326, 466990778, 846767492, 773203616, 825609657, 445904077, 680475479, 961751444, 159490725, 225527690, 788839023, 234402449, 922934711, 506058722, 925643369, 856459387, 211982564, 482225749, 549895517, 994021581, 528200543, 130625493, 1027725820, 481161991, 97314246, 778769285, 756843435, 939580820, 673181067, 286864864, 1043473847, 676506158, 1502894, 562434185, 375275551, 333254027, 610137353, 650467951, 337960047, 227536728, 341309552, 644568984, 397795437, 362663682, 996447293, 938144830, 415443978, 143078768, 371750699, 59628377, 674261707, 232331861, 582441450, 252714515, 249009037, 589332073, 98908807, 217707124, 980097061, 613269084, 321137354, 582534759, 850129164, 588229153, 57172548, 838967170, 1034579706, 746012542, 615849921, 293397230, 1065975237, 685632712, 522125013, 807796276, 362422217, 357590294, 562124139, 816482216, 929439047, 338547513, 45252236, 702205258, 251944159, 173786224, 219979997, 53339446, 700599133, 973773107, 787544732, 338038621, 728407261, 743316080, 314561908, 929077575, 1045049630, 289598757, 327437298, 1072993144, 152159489, 6244390, 871951097, 626593687, 126202381, 14606736, 1053864043, 937237280, 709658125, 778617643, 686754438, 827948206, 745440566, 10266208, 957571351, 819805794, 252548303, 956098819, 7563104, 362120572, 665088621, 574331334, 749645418, 20200288, 160653881, 5512495, 247025262, 12727432, 711032724, 123269976, 967025023, 928230550, 1023846939, 845760019, 235484393, 975227255, 1028208135, 320301498, 647694453, 191669257, 613049086, 461411358, 867238446, 79885076, 1060872056, 877081671, 757915753, 242382633, 329003062, 151585730, 1049914500, 1063488522, 533995979, 92616339, 843868080, 79368313, 94265123, 475333316, 18369548, 513133539, 484462959, 723979451, 784330570, 276041066, 1063022356, 337180544, 984211694, 56567158, 141209952, 728842116, 724067250, 1024107848, 966013933, 896524111, 19683413, 422003039, 649843795, 252788265, 26004690, 743052445, 194999079, 319892575, 209007835, 628713913, 684441385, 608216813, 506492617, 726219878, 597689549, 518237691, 771016341, 869964290, 4675739, 792924076, 523832508, 666720092, 57465420, 845294125, 214071485, 70623527, 1058590431, 238613190, 930147888, 245032306, 357334391, 100352942, 1068597281, 835134746, 839569509, 1013393360, 865759587, 609964521, 3747212, 308266664, 563575818, 645360036, 279728487, 722786305, 359161051, 311377931, 300184178, 145866057, 185652137, 747169600, 567613721, 644198804, 590072041, 921486141, 977706874, 355650567, 773170466, 937254683, 188958830, 467586528, 288009431, 19000488, 836910237, 295610691, 408818581, 525607613, 693200342, 817979671, 492253544, 899397299, 243743313, 470757692, 903636465, 20269100, 24114772, 140523896, 257958893, 809942231, 106461399, 32412498, 135184000, 618245686, 483046855, 225897065, 540988970, 845502773, 141826680, 660472276, 168129606, 748332134, 487846816, 675353997, 970114772, 592618048, 74523334, 640061962, 62478029, 94704935, 314071595, 801480503, 529000064, 207094484, 622050701, 349953394, 547607228, 317175969, 249381055, 171021457, 588318065, 951096394, 500466993, 986326824, 398621697, 558486248, 1072471839, 730955492, 1017475018, 291475614, 158343036, 343718663, 836528203, 421393952, 412030634, 464735820, 371828147, 785382522, 978546858, 922267931, 890505126, 498751519, 315476042, 115244503, 415361065, 431414084, 1037794411, 762706023, 1070380807, 885411951, 364091547, 399339438, 641754579, 173171824, 358749350, 914622159, 1014166908, 357781953, 922086421, 220447526, 75534040, 152205493, 536570581, 309022596, 470620614, 13258383, 487609773, 778732140, 484705091, 365706286, 849306878, 599441855, 409920013, 975584761, 499543531, 262912628, 790840880, 464845129, 212897577, 792618087, 631703734, 694610620, 817500173, 1028772793, 777555889, 742635786, 165670078, 388320503, 291492313, 1055624974, 30323749, 675473357, 456835122, 499323514, 534454572, 982760680, 839537689, 611554192, 46745246, 839738048, 890635428, 1070945674, 133014261, 676358773, 103813060, 567980569, 54391672, 979593424, 487517022, 848227819, 486028107, 489276825, 929406766, 1054523254, 76023420, 998652481, 651563731, 591353390, 971701438, 483463340, 21122352, 521803139, 551635532, 640432476, 887183183, 196262584, 733934434, 597573016, 141929056, 238627485, 134077397, 81781275, 736593580, 1040582319, 688310548, 445329144, 114925222, 687695624, 109770076, 730104259, 103664785, 563093918, 732474092, 794324692, 357652404, 374139752, 888117793, 329468317, 809288839, 630135518, 1041447816, 865613380, 150008613, 173984591, 732383007, 390745381, 797509228, 893497432, 560503715, 97566190, 136920793, 49013249, 830315779, 572865626, 970562628, 929913893, 1047152220, 631518486, 1046647466, 884105768, 733707538, 174292602, 176218949, 758445734, 393833076, 229196235, 1013601181, 1026906824, 308516013, 147236992, 55599172, 657297045, 977758268, 257330645, 208187173, 553805443, 78955422, 584779646, 377513514, 451028553, 139505153, 822990830, 110415014, 530528585, 591349049, 178587297, 295838624, 998228774, 642448531, 1012277805, 810370860, 587931491, 88691644, 1059982669, 49136231, 924219182, 360434118, 341333892, 651021126, 775282860, 63817981, 1001548984, 571231214, 647923967, 689119526, 933947763, 1042553807, 132193732, 6261593, 157050586, 535554545, 328587476, 523706906, 440213380, 347118389, 897626292, 919129073, 486306358, 377267915, 921050565, 1024141144, 105077752, 426501036, 254311066, 517086280, 900308765, 441900211, 591588724, 940738691, 74929624, 508014848, 23414541, 279366806, 238088467, 662202231, 67457727, 615575593, 440160068, 651011487, 958325355, 486989403, 1018260608, 5380109, 875924767, 344260978, 924208325, 274721821, 239205756, 659026254, 536213965, 881668911, 391268416, 325516241, 596667224, 395421076, 783745613, 67550053, 540522364, 1025423419, 335368119, 793300265, 9861574, 634728382, 623202442, 690622391, 573604692, 25966988, 399997275, 480728235, 556264862, 812557458, 1033737113, 303755328, 380155843, 433013726, 154752051, 759948292, 922891923, 553849004, 535746514, 458494901, 506629172, 601924053, 537063803, 196175695, 646893055, 534333188, 829732225, 887007248, 80279190, 401316122, 749929030, 144580753, 824421966, 329395734, 115235394, 1044244528, 213555660, 658281565, 725380032, 509302870, 886258591, 269594701, 91599562, 116135583, 456240577, 894291715, 11472906, 1072871906, 94840632, 630353412, 575339451, 148275412, 976002975, 840836165, 170404077, 872717148, 866563679, 1017371483, 947523050, 971728543, 20125236, 716486606, 505894858, 680691184, 69223748, 316563333, 369512464, 532055275, 328378554, 278340861, 378238664, 959382720, 787972475, 688549786, 333619152, 244746843, 858692104, 198164666, 217967174, 887830685, 957621469, 510937198, 299483078, 972271641, 820983640, 949665582, 813502667, 381923831, 587158278, 1045563094, 214931743, 804658905, 7636210, 857134908, 190539990, 422157014, 274556759, 694305943, 711184495, 382975369, 492066515, 827974163, 665675406, 677766818, 445633644, 715721355, 53956821, 626619554, 41948156, 195425614, 944182892, 555567213, 722307781, 227823798, 61893822, 1042141244, 837805178, 132985567, 538201922, 894158944, 1058714029, 217760186, 1012471878, 63272615, 593148389, 407406068, 685406896, 894249882, 11649754, 159136104, 909675861, 875340470, 648074786, 813651545, 502129584, 836122684, 298119556, 779765750, 1037450861, 508753558, 180448480, 634932495, 362782202, 930815320, 111900495, 552574994, 995721468, 372508269, 612274316, 1042830327, 877462386, 470620769, 1034827408, 80532924, 112508501, 306489629, 60504534, 31859539, 869430494, 235666928, 954180133, 801629899, 435476, 1041344391, 977977850, 378339884, 255138102, 210591736, 979831490, 433286011, 310368809, 542057247, 666033285, 801765821, 115989547, 634045241, 912698160, 629735149, 267832054, 250570542, 858675324, 57022337, 168476237, 782725525, 340429515, 504686967, 336869536, 116186300, 59368579, 451546385, 881486884, 867137629, 347820525, 1031262062, 505133600, 562404174, 903174462, 123225196, 268129350, 1021263549, 772992625, 720258632, 954108749, 8799105, 601857038, 284523611, 168180886, 1009060657, 158900868, 585633474, 940221791, 899909074, 603653411, 548428916, 1022484039, 434938695, 312992082, 224580090, 810588492, 865640611, 666673777, 641891809, 16610084, 61012766, 386335128, 993560698, 73794471, 886508727, 538369059, 357030887, 41069523, 205864361, 994137699, 1011312714, 25424144, 1068895758, 82751453, 569319977, 915716833, 919330509, 388722581, 811786961, 8469578, 706546607, 167659126, 692148463, 204060895, 248905501, 991393310, 500319025, 530993325, 134608272, 805939274, 979922731, 458398542, 493885852, 689619099, 889355406, 746693042, 221927027, 1051647734, 859077917, 252883826, 804926042, 50182281, 642817788, 194428351, 829755471, 897422596, 282856795, 656779992, 429391177, 669921974, 823686059, 755192507, 336290481, 890588537, 993683396, 43265006, 860810509, 872238601, 413554387, 929773487, 632541065, 91516025, 752087861, 1052703320, 85251889, 754796929, 138542961, 411658252, 869627580, 173434775, 87967552, 41258240, 779735846, 223985739, 291447284, 668294310, 747271817, 625467643, 40571773, 60333897, 940053392, 125205232, 982936933, 951369771, 937844746, 259842874, 457103147, 948001453, 118594216, 116096489, 380758777, 652675852, 585608484, 234365869, 813209702, 704374325, 203502145, 425787559, 280729931, 863442747, 669807929, 1042829190, 417813103, 933597043, 239999194, 539297752, 146525994, 181138700, 651171181, 689834265, 528917099, 48241386, 717447005, 398054564, 680172982, 240361780, 982664684, 379278047, 1016491352, 49155188, 790269652, 41548006, 253646484, 19340443, 54458795, 308446211, 338867195, 659513594, 664589686, 407642142, 102120779, 955240453, 129467633, 103523342, 964252770, 856089509, 922548169, 392332558, 319964058, 141337855, 128591244, 995132616, 800350132, 1007829253, 531476973, 962626690, 972155703, 568031418, 189507629, 755046133, 781198751, 697967149, 582199190, 42636510, 711212005, 637582072, 6071574, 74343990, 871050896, 954094499, 1050003585, 595344666, 58165151, 960840715, 241664468, 967956307, 227479585, 8946478, 233637169, 495529794, 200675029, 379177087, 917563884, 531979659, 464344328, 109996946, 954861758, 890241523, 401230726, 85651341, 88701587, 239750401, 1050662385, 215749295, 634924994, 896513087, 396272267, 34293212, 908319072, 632393331, 670083772, 88301835, 937407849, 473076908, 430124039, 467479337, 248247801, 766894476, 44555557, 517242236, 1039637293, 79819488, 691061500, 535508738, 1063813148, 518677421, 426801549, 162062920, 384750771, 622566384, 869331890, 398702480, 656121862, 115209447, 338848737, 767440656, 270609200, 790302078, 106447186, 526588293, 53498055, 748528267, 943616200, 718500488, 191233384, 696267709, 1037707526, 97329950, 99748902, 982005194, 551129120, 665133700, 660230069, 97526, 1026725003, 334855440, 613946191, 152668472, 800772745, 664972745, 60163982, 808478954, 895978216, 996257541, 665316872, 535224236, 837027831, 874176396, 54109956, 520108341, 1034531377, 1018039807, 95795714, 1010454335, 934625915, 136187532, 272258180, 327168049, 956218493, 413747584, 375076222, 384263961, 779717118, 395115368, 730885886, 97146587, 1032858786, 318681944, 166853497, 343283761, 502513384, 1013160338, 314249463, 512767211, 327743679, 540796371, 336715166, 440050824, 928818059, 713820165, 941701073, 1001576686, 653809897, 740209338, 47237202, 408167458, 532054193, 168694764, 619360305, 326880810, 7235260, 35932154, 363060245, 273777362, 793183929, 55654688, 1039067751, 932041787, 560031347, 975501995, 740762641, 675071756, 121156523, 530663321, 1023982320, 860458931, 516817023, 457065466, 894686386, 710873020, 68864934, 961406085, 400537689, 764253557, 705016821, 824226648, 720901552, 661890537, 378395013, 833742169, 367051508, 518779304, 740373083, 1046893939, 401106534, 172836123, 806572796, 561659537, 604180966, 955927404, 158319414, 220806016, 522326438, 665221085, 24596655, 720224760, 845699551, 597034922, 57156608, 386114799, 140950606, 141215349, 746924682, 347369475, 711858819, 894995201, 394879041, 983093984, 484505503, 369787433, 1058037241, 378934074, 830565731, 482484517, 248950017, 860048591, 213551549, 1060364014, 65349535, 625921937, 227718460, 459945073, 842335946, 139602241, 269672578, 480842792, 685871773, 591593727, 116354601, 322218118, 76842333, 949719044, 88771812, 1069342305, 620771688, 863491533, 462853515, 961933338, 623492565, 1002263468, 710914714, 416058737, 959000007, 575939598, 317166778, 711302897, 888985298, 286383605, 664254073, 584986758, 680847999, 948174039, 464275486, 531707458, 1025135172, 339472830, 321892062, 723682574, 448161982, 845449140, 828858214, 582760497, 898684035, 124568736, 312753556, 119745654, 559200836, 244120139, 426261095, 1060411226, 379685862, 730170831, 435528012, 1001601511, 838444548, 40812997, 228448087, 80686316, 500623200, 653833041, 290088536, 254819034, 1384107, 266392054, 11946219, 328392908, 830120246, 813501570, 551383414, 1024165277, 775787593, 1060664743, 79161763, 1058721348, 958678683, 347149687, 303051352, 497987747, 668521286, 183009077, 274291909, 864893066, 276908466, 342012901, 671839586, 106204145, 455101669, 924908929, 823479557, 497058612, 613084220, 387866594, 538508710, 426919553, 610305828, 639388986, 708943832, 633352083, 739909966, 785764238, 647879704, 31750206, 546237507, 486594165, 228002067, 166169510, 332007620, 900202364, 578736507, 608880932, 681854990, 879236094, 7382160, 928092988, 206464568, 1066091793, 42673608, 314244258, 898103883, 623234155, 789771500, 645918108, 1009301255, 110497574, 327799082, 703602136, 510636760, 415716596, 626202798, 453207330, 216850266, 890558894, 229583956, 208400147, 713303608, 588727511, 860012551, 95467923, 599800228, 1062935393, 492758273, 383421625, 656241004, 480082833, 364980311, 161836522, 781131822, 71663613, 72339260, 623328386, 792111278, 985724510, 1055339369, 921972117, 996610392, 114623401, 222631775, 979900705, 80921083, 967046505, 177837276, 38759930, 989668080, 417927290, 446963719, 212114988, 1064383537, 816497242, 841509029, 589159093, 646781024, 813916633, 896448592, 1069467687, 453551697, 594080895, 301168400, 320887965, 374274885, 349601606, 144182001, 56369930, 279695030, 632936155, 1041193920, 226914967, 835540015, 8975056, 568035518, 1042409070, 269109979, 1044159236, 971028665, 383825988, 769267150, 1052077106, 960122336, 422294438, 650722482, 1063954707, 213933660, 322659545, 1056845482, 64322657, 691273288, 1054435680, 899478347, 577752777, 1065672711, 569124483, 1062486093, 117608176, 405275400, 410426898, 198875793, 409841212, 690265938, 641109640, 428860932, 700551787, 149557235, 600958791, 113794143, 149047093, 803058381, 416356736, 53507594, 866727968, 645406786, 405314802, 633799332, 476399140, 133535272, 660251310, 862433285, 374482549, 414212571, 226191552, 308065987, 339840959, 398953455, 12685555, 55687719, 52456763, 310156600, 138639751, 182518951, 489761430, 797025816, 812776015, 104203436, 275952541, 1024874018, 436281393, 361525169, 979210248, 264015118, 643817536, 249314306, 513184108, 731789801, 998779579, 482766385, 853396022, 277744454, 973317832, 551537620, 13961076, 848919469, 68453199, 970218822, 907913607, 945988162, 229163963, 1049695785, 759545714, 51596661, 260068680, 226211161, 629478813, 900950218, 1042622966, 809941521, 789964535, 558362549, 739985420, 222867405, 730537734, 485238500, 1007995829, 725632750, 8708279, 541088999, 695502047, 480220803, 927755912, 426052540, 604753151, 339509829, 960932205, 848172977, 892791064, 1029636645, 1039886095, 29664924, 201636782, 819923414, 911541530, 289664035, 740168305, 55825966, 816876555, 360545849, 700957541, 786969678, 35919805, 483967591, 610745735, 588160633, 453136628, 891476030, 798257403, 128749291, 189612630, 620992672, 259193473, 24302669, 478594416, 49967934, 193131514, 1053131694, 930404177, 816653373, 720361743, 711459180, 65043312, 246065708, 704195528, 310666706, 880246553, 564916431, 581836819, 469185216, 305017745, 382880608, 616938659, 226564550, 647186278, 690766209, 993175168, 75735718, 593995039, 951326297, 968623543, 987718134, 39131600, 633121516, 558464247, 510822399, 933326629, 254413570, 936331174, 930963765, 337726970, 151710957, 205279991, 891800387, 368199842, 1044978668, 599154517, 233261409, 512108261, 890189988, 1012112287, 1031899403, 185189996, 984348105, 752392927, 485963751, 1043684600, 1005917838, 873907522, 484133508, 497023719, 182300803, 541203656, 471591657, 673032289, 925338421, 155254801, 388837490, 906136043, 878039336, 752941816, 556074456, 892578385, 122408421, 955665587, 642284052, 255443972, 970158354, 801798781, 923826227, 296796419, 244871210, 879286210, 1005984294, 610847359, 487784505, 141273767, 614756154, 797381795, 5019963, 376209844, 422054297, 194303847, 18590794, 379751866, 830132090, 680795189, 374974774, 955793270, 885046249, 538771546, 735235663, 19467736, 659322113, 232661544, 380306344, 203532052, 101264517, 660151924, 552025115, 948691783, 480712141, 241301847, 10250783, 189566356, 1060696053, 361051001, 199289761, 267939153, 817416930, 277671764, 484960334, 697140238, 313195435, 1069667335, 722507253, 169840574, 554945399, 971734561, 1026240719, 526226017, 301823112, 356647359, 1018391356, 283663952, 403394521, 51381855, 593755243, 994087957, 14402259, 1012581780, 329096274, 794380730, 180686858, 320439326, 114935796, 275754623, 81060069, 982833503, 417272250, 332902481, 428433661, 799870511, 947727638, 316973287, 80641105, 122562401, 330811685, 828602170, 41730046, 538737863, 389701991, 908248111, 640630912, 30780066, 1015535577, 428558756, 561749044, 720746911, 78574004, 954371675, 359980285, 773375881, 460699412, 75735087, 942330461, 788389257, 838124875, 758713722, 699742701, 317946927, 215204199, 767530875, 789658680, 813882146, 332304101, 366163573, 590165509, 464908833, 41024763, 649944667, 391657524, 507358058, 832330123, 1046667275, 843770222, 837311313, 363707050, 28269891, 299283265, 65406897, 190989325, 715891779, 21381420, 220480807, 830873948, 491031005, 283847562, 896354132, 880035355, 451784656, 749661600, 648544900, 836813259, 1072490637, 470378462, 510074816, 74938499, 44994909, 358197242, 489515125, 444468778, 775617371, 560423773, 51891789, 985532961, 252809911, 436770508, 382009194, 330560227, 493920447, 110822013, 1055905233, 447793890, 425703726, 110551733, 914138676, 76998607, 353056259, 336983385, 297916644, 613310847, 227312388, 176510450, 568264218, 860684761, 267364426, 889157589, 326674341, 1013557734, 657444685, 261432774, 631603017, 517312698, 763607558, 380346943, 172254037, 150014710, 702304360, 130451504, 998702221, 309351311, 118921594, 361814176, 850877900, 944496228, 783375320, 272878108, 673672428, 131698766, 288343067, 582217669, 166794573, 162224663, 634579643, 586155202, 497393436, 316612944, 831066124, 535243632, 424887101, 681223056, 877811317, 306894568, 466456837, 853368394, 456032404, 7851219, 430217817, 880420407, 654905260, 867802016, 81459350, 1044491723, 394388310, 394261862, 997816597, 610613127, 436492348, 271263101, 457464885, 212722763, 119999000, 535650520, 393932307, 30306276, 976868955, 847787771, 1011544788, 85031503, 975612703, 200177867, 217188523, 215025034, 722881372, 334197887, 512066332, 186149645, 695947066, 90312207, 778936092, 248331142, 537387443, 887683151, 376318089, 830076838, 954865806, 296422681, 881239875, 1045245143, 673245938, 903987313, 597842698, 654340724, 44393981, 287468359, 502792910, 313080589, 697043439, 717864386, 137455116, 329061951, 674817745, 401244742, 547881338, 60342598, 767104241, 573560972, 118935043, 238843687, 1033146868, 368106729, 330168793, 1041095400, 969192904, 39257410, 1035167319, 77660837, 148210576, 964518222, 628311305, 64794564, 416173843, 596930492, 633925645, 516436436, 941145223, 569543021, 865448792, 315174496, 525715971, 875361065, 794735686, 967488380, 330626142, 946234092, 265279304, 12642565, 791402104, 148954355, 661577836, 317403923, 576774934, 645622724, 541408160, 519822052, 995599341, 190101212, 162024914, 161265118, 942453776, 934576487, 343898401, 197074785, 912471485, 474989319, 917334125, 1023611332, 555295301, 1060191059, 918110642, 131756351, 618563809, 768676421, 401834740, 65140468, 963588751, 648547305, 189734286, 1060048851, 392014273, 359745470, 166984448, 314706799, 1036735212, 767179582, 500373016, 715771157, 314092490, 699206982, 590299199, 590208512, 338169438, 186834365, 72028990, 881452389, 583046677, 811368100, 51420656, 139267449, 604282784, 336509618, 356528889, 426334952, 631471252, 639103282, 747890000, 632775958, 207765752, 322190302, 814067432, 450546039, 960021526, 765805992, 923855297, 671024493, 653135041, 496136452, 772630858, 565060060, 222050106, 811924309, 1058737250, 883355484, 777884178, 281967493, 322821889, 177769954, 763659513, 484348124, 293535671, 953071424, 834804601, 751198816, 918803850, 64358512, 745632622, 960236764, 704549223, 79543775, 786669696, 753587508, 364641721, 889964385, 202668723, 409490899, 416423550, 73934114, 374587700, 182299637, 754315767, 1073173592, 640543367, 352269518, 137384406, 554380921, 1044082994, 815667661, 24365651, 854646504, 544659472, 921725207, 604321762, 565344833, 214057932, 53647777, 878700967, 246147998, 432129387, 496005630, 947865518, 667641154, 133265927, 773571670, 115265044, 733856347, 827821127, 1026226567, 361219759, 946228339, 527685950, 435041457, 516583957, 493007280, 766197394, 930351264, 186907168, 491857771, 874560672, 461955423, 493856822, 967907138, 708195727, 255146547, 728429693, 913037566, 952486451, 969331706, 719169614, 718408987, 1071549147, 883639905, 775980440, 891289538, 854182432, 736835218, 351682980, 235126803, 923487426, 718193950, 700316679, 132450574, 397834367, 918894528, 169954099, 968575545, 1068081660, 178925814, 382527900, 185354516, 34555493, 339241393, 268908179, 332564465, 133691430, 443901993, 530020716, 340118011, 218764786, 690185182, 621099353, 612463402, 44528120, 675563892, 464098580, 1024952232, 782025550, 234703439, 401673558, 452037438, 92031808, 181545919, 793368082, 685685171, 543124427, 573670506, 206170395, 928833265, 355385270, 66852085, 99988247, 657587444, 673235076, 155479365, 490365712, 208191487, 1030664759, 597927267, 661499416, 849267973, 699026938, 722319569, 407356243, 345241160, 1003401127, 853589134, 1031785908, 376667581, 370205100, 1052435904, 332317694, 699541763, 651689815, 135280365, 69317176, 889257100, 804989262, 764680043, 570174487, 21165167, 274536572, 195199775, 932759605, 825899672, 892230188, 575313147, 508473528, 252918049, 804075762, 549915967, 192046136, 905583004, 477133091, 444475701, 128879169, 1070658463, 858782547, 755823710, 127435537, 849681547, 805275834, 510656690, 336932542, 546792229, 19515960, 66207773, 143079507, 645973097, 867914252, 17082462, 864013837, 120505757, 661974435, 981067119, 991732734, 453201238, 124720225, 986126593, 377576371, 256966844, 1030930045, 246743852, 74728232, 562838261, 653444366, 143342296, 359630081, 813782179, 114407741, 455931448, 596854147, 362227854, 248261701, 773714142, 167914431, 176768160, 853178505, 465561829, 859586037, 547776942, 413886094, 26850334, 542304152, 798058311, 865152051, 37389205, 456633287, 339304958, 468759632, 417107331, 965680917, 723248438, 846554934, 302641013, 767371364, 522057315, 812527240, 837737782, 250837554, 421550409, 865527343, 269535937, 450788583, 278051886, 205137063, 534388294, 105824958, 535374068, 1062360283, 426078616, 649802670, 961571065, 262804773, 884763339, 108619363, 293932818, 699273877, 737271741, 714535339, 161497342, 671242598, 1065324030, 787585334, 575622219, 876120160, 951829335, 85541337, 166492675, 496855130, 971091909, 215959519, 957334356, 748547363, 610856958, 501058467, 625447779, 62742239, 814503771, 392379068, 109100076, 382807700, 361174153, 350490865, 430715877, 210397764, 311353978, 258467309, 517989393, 273897459, 355670608, 673606237, 940084995, 843630151, 525416422, 930518563, 528600691, 296591901, 692461713, 497424623, 615161298, 999397808, 863846888, 334075707, 357588094, 785331621, 650655411, 162446610, 1069712216, 1020382494, 129969111, 669828952, 501340009, 358059438, 25732286, 235709546, 327268665, 565122317, 894145564, 1055729700, 33118164, 819022409, 919987831, 956637605, 559763486, 278441130, 452813983, 732363522, 901893748, 275438505, 970807706, 956145426, 76288463, 450494341, 219058361, 236703579, 974174422, 667729851, 11661051, 157980096, 821960659, 718832842, 106304971, 596882454, 700687462, 796178599, 151624394, 16311156, 347514325, 626998673, 380278660, 84708591, 670656723, 400604502, 781348582, 152457359, 642182965, 244198902, 704873231, 1016755519, 896528700, 341879658, 220544256, 767915279, 513102000, 715596218, 414960696, 561711156, 416604661, 997907913, 938731116, 1020166084, 168000130, 973927374, 541216441, 1057838201, 760315532, 632799197, 909906031, 230818099, 14226990, 315170730, 34598524, 403064812, 749523577, 974871663, 529528263, 825720413, 562917757, 441031678, 835121985, 879443523, 356572439, 99235474, 1053204733, 288837016, 135508845, 519240159, 916440096, 47177707, 492895403, 320028201, 613030481, 499031878, 870235751, 894660691, 986840878, 144557203, 264852412, 778636231, 847164076, 608236435, 1039716785, 727300400, 643578300, 653657064, 746008917, 201512854, 950761858, 107445199, 381520273, 203264391, 345601123, 395760896, 640529016, 236295347, 126691777, 13535899, 946868390, 650919448, 543047166, 441140626, 799517447, 510736305, 1048067053, 838612744, 809128750, 691417491, 443737650, 640559306, 280346364, 730283129, 103052859, 1011301584, 772909353, 64940844, 891181853, 1687413, 248050249, 908772360, 907470409, 598609229, 1063729963, 672276411, 679098028, 487914660, 480880534, 133262507, 898255894, 705385237, 709198121, 36013520, 310693963, 127809711, 650724277, 6659383, 585507127, 184784826, 804226806, 790655753, 939345896, 908289740, 143310008, 953663576, 989272357, 613991308, 774365364, 189818186, 454292703, 703250799, 617653783, 157272212, 675497028, 927703827, 457695292, 36761306, 638505508, 55795152, 281117455, 625152232, 979185273, 184025164, 244152237, 217650786, 379390034, 194507631, 313241517, 3434469, 115202351, 450394887, 649998921, 872464592, 72823727, 425655990, 934638084, 595753567, 807607270, 993530933, 656923518, 762591248, 119100311, 272247857, 845180201, 755306279, 729918520, 749848897, 1025765724, 450044830, 53204338, 555776949, 586024108, 1070331004, 116930695, 423075250, 929647274, 944925831, 382781069, 352938807, 1049564827, 170090147, 649372701, 883042568, 1013376356, 667674598, 685490042, 547062475, 858934639, 843253120, 138561286, 79877948, 290671506, 147093816, 459694048, 390406348, 248386835, 773251703, 283278942, 546965748, 358209969, 706509657, 649206682, 122941947, 893257544, 49743282, 286396042, 473833435, 815132826, 659470770, 630077961, 492891220, 393950470, 823316243, 858732152, 447495764, 313020523, 227168521, 184105560, 1022822591, 7540503, 735600021, 713722962, 935162128, 894228649, 948348389, 739318693, 524249318, 1020579893, 1072006136, 689474180, 454473106, 410585061, 160021963, 789613368, 757377382, 664100802, 986187826, 190401549, 117109385, 844026137, 1055098661, 997461204, 52410610, 173205373, 1009317016, 156854479, 415281196, 1022954264, 704275631, 387783113, 588652673, 116498137, 224725344, 613314705, 447494663, 1009832784, 789850105, 243298569, 386787988, 356543878, 341593999, 907028103, 632561211, 352331762, 932186082, 1030420186, 1020488916, 1036993830, 457844956, 205541971, 266937051, 109868507, 129917547, 901251632, 880364595, 142253329, 307947706, 394122045, 295459500, 587560839, 162491466, 137129644, 409401851, 389531204, 10688112, 745808547, 393902355, 691855077, 287865598, 1050966960, 192531945, 396240618, 297193530, 681753392, 171817165, 556094670, 556613364, 898815193, 926979004, 526800156, 436492657, 154749393, 632281375, 1019074350, 48834815, 117126149, 928253052, 994823755, 1000673253, 722093583, 230047267, 818779957, 815412230, 420101977, 332630764, 437781792, 740241589, 233439322, 744607612, 531299202, 397612858, 272361794, 304308333, 708114399, 242639843, 575471726, 625809255, 714110504, 946448231, 295207353, 891881821, 895174903, 856394281, 571202790, 554767369, 62232915, 7793317, 843726496, 780281613, 587612232, 946661360, 204442236, 346135824, 715662962, 130410640, 125295773, 795886378, 1012708049, 228482438, 751289842, 740775520, 718409234, 684618403, 364996928, 148733451, 699675595, 283622801, 471394789, 933123991, 297393669, 691193979, 96216182, 108294136, 970656338, 1022173348, 184837635, 539956785, 397805218, 328884994, 572134647, 884804736, 629286782, 604017205, 310662335, 764823162, 523750665, 385339977, 943515957, 1044875373, 717177255, 331413799, 402341317, 340899991, 695783961, 615397752, 145709586, 100315756, 38421798, 364770998, 215972955, 889850712, 161905244, 416777971, 708015886, 1035022413, 341793983, 1060589574, 100689992, 611387145, 209574358, 267365198, 716793280, 899525629, 1000429130, 640830706, 54733068, 29957624, 945343843, 775111107, 391870298, 872930742, 215647240, 284460956, 686878826, 455618108, 484601515, 652737947, 883424985, 950103371, 677018594, 270954145, 254059322, 617253551, 414058041, 873308555, 889196749, 974945933, 182325130, 1039039889, 4722896, 1052292229, 400630419, 320263090, 84736373, 797269840, 405425782, 186810897, 740272553, 547881551, 824873154, 1051807453, 577896205, 693951589, 429376433, 906932907, 865111681, 241732271, 842744127, 831179588, 1048776492, 385816447, 871486434, 635551740, 866983234, 233555158, 1039712063, 4238341, 936499075, 601387597, 745934112, 571583904, 200783145, 483694734, 324757456, 871032872, 49642797, 302303861, 486411774, 995520795, 228212299, 1043390281, 1069348516, 76944331, 873117417, 246265960, 561994837, 957269783, 599137455, 816476263, 456449425, 303810672, 722402103, 85897836, 602495264, 698737605, 394344768, 480327235, 22231622, 396420189, 789020656, 597294451, 1024461361, 775683081, 29783171, 115988327, 17258584, 828026971, 838928096, 493417429, 309234657, 427573231, 918589206, 224522583, 509817133, 746860070, 442345339, 245304678, 270817403, 109643013, 951896669, 462498456, 347905260, 646563383, 95219188, 547594513, 17375329, 783931976, 841337936, 2788777, 358726853, 697875325, 617194979, 390001130, 1027626473, 10719218, 509806306, 329149920, 379187341, 624674945, 235790807, 538713584, 758948745, 496487237, 309964529, 360829037, 436812749, 713739433, 279275991, 984622604, 691988149, 858918041, 657332940, 252352288, 1015654324, 892948604, 655458745, 96829259, 911666565, 326351478, 29614015, 191132243, 294539920, 578917330, 828015173, 237152717, 364105429, 104656627, 850225902, 534075828, 908881600, 909047815, 1035090551, 972024762, 188288766, 709182280, 710210762, 613109837, 21137660, 63375333, 63758228, 301735091, 647165823, 630014003, 296322, 108360003, 1014714393, 36478002, 924573420, 599391303, 636569162, 173018528, 649939151, 276447236, 977139299, 923706318, 895713043, 676180475, 423630984, 866953964, 697274770, 493782378, 113944170, 619046658, 448310752, 893236342, 833936304, 653797218, 378849683, 945256246, 244734557, 1014980100, 252317647, 463537327, 252389855, 132898092, 816381332, 623597502, 185344809, 651040473, 533838578, 804284968, 291030951, 37820892, 316958017, 609197588, 142589960, 60221591, 720739557, 161911776, 754764208, 781109219, 601959195, 331127087, 1049042990, 400259945, 166975436, 1073220154, 271368427, 612597746, 927371072, 456581429, 969062948, 816728661, 162616050, 23029255, 128504356, 18721819, 936966592, 138284173, 300992648, 1060245365, 323898769, 579394188, 522431259, 778109885, 6750852, 99440879, 898612296, 803565023, 761749370, 322319086, 334435714, 119175031, 59056920, 998058345, 627166838, 550537242, 801968736, 964418942, 759487778, 1040678834, 229963102, 148256644, 372284382, 983042163, 716242316, 559456900, 476800350, 172319356, 265616680, 705604184, 671905938, 999805518, 782289449, 334064432, 198961251, 992431352, 226602906, 691899392, 378939785, 246393425, 33635082, 836817777, 300339867, 247585539, 864625818, 42654583, 201213087, 285955991, 400756335, 181143559, 800083298, 498314948, 141488149, 518005374, 796698288, 705684971, 548977521, 939736435, 565448224, 914259848, 948593713, 439939146, 624470690, 676881799, 187500228, 915724886, 808275054, 58337707, 655667512, 565221835, 63647359, 552582280, 983326017, 346554493, 646692540, 545338858, 919658435, 891352873, 107894118, 412771201, 523294696, 686937951, 282927846, 224788146, 62593963, 947235128, 1037455188, 407365508, 799199843, 130067783, 218070775, 445850567, 139122000, 1051947264, 860706740, 353685069, 602278754, 1019266115, 776483362, 440650186, 312362663, 572943088, 428357884, 692443253, 466921628, 247630914, 854911282, 610735, 399530133, 184507023, 221523139, 509055588, 968914016, 542542399, 524337781, 1013057535, 979570604, 681563557, 1060598583, 113314395, 833094232, 565359195, 43917135, 665159207, 778555216, 101931162, 624224644, 546091339, 665789841, 906666931, 322499208, 131638745, 877572502, 668492726, 958370171, 321663164, 671115722, 898439707, 392938960, 665383301, 448287914, 39799982, 64009858, 264393855, 446017917, 254612548, 656471947, 783219228, 279293685, 338760770, 885121864, 850114032, 647826426, 551153205, 387114572, 968937577, 997076768, 18495681, 360295623, 839011506, 520323835, 58788251, 866156148, 675957705, 273189321, 202745842, 64778733, 662638121, 1836982, 771271203, 643154684, 1058463112, 670145783, 755614629, 445157579, 216292508, 373682958, 1064318809, 1052788805, 777024480, 919165636, 1058510418, 46910694, 13376743, 589876792, 72178577, 480403827, 1011570011, 137369326, 580172447, 463712485, 769199069, 611031047, 921122515, 1044902203, 964170877, 543924560, 965938927, 253913739, 4856184, 454758582, 346230664, 129320522, 1001016989, 1031944792, 731269674, 218844070, 937946144, 767956594, 486596575, 416893626, 1067306105, 926619060, 963447755, 898268128, 402426179, 297411019, 815422808, 225949972, 462105024, 918968298, 374891217, 135060370, 64705950, 451369740, 53527682, 510318856, 951672654, 726935962, 1054496186, 881926543, 833724268, 25791484, 508913976, 848022978, 720798000, 707495846, 503022854, 700378164, 343075559, 686428124, 813611983, 993809681, 254334559, 195154556, 1036598236, 333961772, 71609189, 30407160, 221463338, 436218284, 569863711, 479233850, 108549157, 242811448, 920780400, 868459342, 538868952, 76751078, 322365546, 588773974, 473597490, 366431227, 907690467, 987093336, 16891959, 862142952, 289985612, 1053036938, 311758305, 397886833, 1037342191, 431331733, 191113891, 244896382, 561527698, 1004680159, 1066209245, 283605113, 196569834, 811305679, 603835003, 959696464, 121044658, 640351883, 223565309, 524799002, 698414844, 256632503, 704554846, 223448844, 162449663, 751183442, 933165089, 457554496, 858130656, 431700716, 986644830, 1045710078, 726297620, 1060825059, 1038057615, 1012183486, 272618313, 227868977, 627825554, 829780914, 9378141, 815295956, 756991213, 899606551, 767457140, 980640265, 558430487, 369405916, 955920271, 502165598, 914751511, 552152813, 1004579018, 547489709, 8220912, 87958740, 738404769, 995302252, 150653129, 290790096, 971979298, 282746559, 106366407, 993829502, 813937866, 352340720, 715015291, 1038317376, 281505358, 856064755, 596800347, 132158519, 480450099, 409939985, 1013571373, 854724940, 415611107, 1058919588, 658607736, 634654117, 621836459, 735989782, 211728222, 322242724, 281077599, 867950719, 150787684, 875884990, 1047593502, 405646812, 742237460, 330138755, 327305523, 108489706, 454695648, 941745874, 558465517, 746162758, 164857259, 589017603, 920908062, 58988037, 106752127, 740865859, 141412068, 84145833, 1016981077, 510868873, 405786324, 684999676, 639194150, 102286576, 804307414, 291733283, 910749976, 654149304, 549319383, 503244940, 365756064, 823081090, 921097122, 376866593, 1003357621, 225480771, 831752780, 999352789, 1061056340, 444037989, 237932980, 56062874, 998126956, 407444754, 84752870, 717809627, 340438593, 447311538, 646759919, 879125461, 674839877, 479007047, 168136424, 188068059, 124032535, 670070855, 934992884, 228779164, 949873448, 292205151, 130663019, 1010353502, 347933843, 720994176, 252926169, 671842729, 310190081, 905028282, 914473658, 218208849, 965413113, 410257567, 750170933, 726169492, 375332893, 606452219, 418502932, 836337093, 637311990, 930639779, 70797987, 861493746, 543513799, 583594260, 521950794, 863199680, 405679640, 991410492, 297364308, 690404036, 929332088, 291573604, 97312325, 290646541, 980801052, 994411196, 603124084, 865034684, 1016033951, 548351971, 393889619, 649435005, 832365607, 833462503, 282877862, 673139571, 720095043, 526298959, 457580632, 730630527, 1391483, 408826200, 772265352, 147076340, 733561368, 109887457, 1061463877, 509108835, 680700907, 363591270, 33480207, 969816392, 398377739, 681147886, 683499242, 403510484, 452434064, 562905482, 1023296187, 451004968, 948492653, 863914149, 815419389, 650190571, 671397347, 508633369, 432519597, 859641588, 40563729, 803358329, 478860567, 512241168, 533346180, 10096084, 141203351, 1023356072, 764558486, 972640716, 117393903, 400365749, 447845736, 5859052, 784157343, 349383664, 185065854, 981579686, 112449610, 685580786, 390427665, 810206345, 468813819, 257225384, 605930017, 1001996269, 807306593, 271021020, 909740296, 684037427, 968768088, 362487587, 531672371, 860825920, 306259235, 1003895460, 114696886, 1020589667, 561498656, 320972963, 318626703, 543679406, 635050950, 334856168, 308110273, 627032581, 647411230, 396846224, 1057776816, 723723485, 92934458, 798536680, 1052895107, 420987060, 969609953, 510804244, 571751120, 247551293, 732372721, 149533967, 784233601, 771849987, 585598771, 218159794, 693476984, 133252892, 591513014, 606123869, 203373467, 441850650, 849732528, 805101993, 868308966, 110311393, 258332341, 891012040, 294005884, 371163894, 698253771, 893757920, 998039539, 827655149, 66653284, 902878018, 884019232, 275810146, 344811242, 626443824, 989622469, 197140327, 1034446928, 229768305, 23856505, 1037125844, 1064519746, 812998685, 133513731, 365675870, 798323981, 854205860, 175800843, 327734829, 1007262548, 164405357, 663452551, 1064558468, 623012573, 162319258, 782007986, 815174482, 586563968, 619291240, 507389185, 817559915, 409026818, 77061903, 265515098, 437213081, 971199754, 1061594502, 178916196, 890606858, 78257592, 359721178, 576589294, 531963973, 388510964, 199287278, 451153199, 67750174, 274759242, 558435400, 946597485, 581031473, 648850880, 639149134, 445238014, 521558630, 168193399, 815812323, 459031218, 1031364735, 951446761, 261766123, 255284642, 789166779, 740694014, 605701740, 721378361, 91341793, 1072660250, 46645094, 752916616, 496212837, 218045029, 794845284, 720634434, 204343020, 549818435, 589681429, 916394338, 476513325, 765124551, 856223208, 883047967, 885050150, 525882462, 244010849, 297987126, 78455675, 71475137, 672676260, 359790486, 55600450, 89962262, 490047463, 74630690, 994457764, 107395241, 198914615, 120045580, 17816342, 899460218, 33208065, 10793456, 1896774, 509306745, 816089934, 885521489, 904439992, 195115825, 617776474, 284009712, 915490210, 350018770, 622540080, 806496940, 333982902, 1011435969, 229202171, 958568409, 611498151, 787032716, 590101177, 619845116, 160870108, 189575206, 247153779, 565315736, 830148014, 172997091, 176877432, 884130882, 401371617, 671231523, 959147036, 66380381, 1046467511, 241513495, 989289184, 389182709, 386325974, 563109164, 1053707686, 108703160, 27507885, 371941526, 62693902, 478829950, 598974679, 856232306, 56815414, 401954170, 430453870, 743946432, 763138587, 1006499135, 401819309, 985019107, 306569494, 836084972, 88222419, 897193380, 641199238, 463773769, 1012630126, 731234821, 623635538, 365639123, 320048760, 444230140, 679066671, 968177359, 1015675087, 580454838, 640222829, 217499039, 606862715, 842523024, 325595416, 784653367, 34369812, 1017991656, 246653437, 52839824, 734667823, 917927280, 736307432, 4883342, 187161604, 253799716, 10460482, 227871068, 372487518, 953691318, 559641793, 151879695, 431065265, 446621853, 383958361, 648765615, 690227145, 19026142, 738028319, 362800164, 723174707, 258169409, 203368909, 15028693, 148491397, 1027548350, 1024042764, 711777077, 83454736, 1053008724, 27166498, 545178179, 568901380, 377111901, 477566680, 425320656, 571700384, 656456894, 462983560, 893533949, 513508575, 775225175, 377854996, 18582723, 248093643, 832822018, 834955183, 711292218, 273168218, 204816048, 1037344710, 229876325, 621278120, 610445581, 345862868, 532765190, 835749292, 464400501, 567007714, 805086254, 295374743, 1060007714, 588234003, 977977016, 212716858, 18786600, 91039057, 78052644, 597816047, 295893568, 436456335, 1034933, 301753268, 502295148, 354290349, 81229760, 252440241, 666415549, 900888378, 321481396, 883764168, 891755722, 453720319, 509346777, 254632425, 812092289, 477979938, 240352679, 381186812, 718704782, 113791874, 13600266, 568900264, 945844858, 539055054, 593625156, 1063846614, 444864203, 447354779, 972026303, 970690381, 776439393, 164930971, 1056858836, 1041305865, 1043214483, 82285930, 951636558, 150228564, 1059824056, 502139300, 187849928, 437039820, 870513962, 303796229, 831790384, 164732864, 532676500, 1061975622, 799857323, 196397194, 697305366, 904898026, 584452729, 743015938, 382333675, 64965667, 275928826, 1006701219, 425022626, 2632195, 111404250, 908215712, 939611433, 709581359, 753407061, 308052669, 196955881, 128412704, 1016432071, 662889377, 80262855, 932365788, 118549346, 496941865, 387371215, 431115736, 661730076, 441352170, 1016583791, 319677296, 212904272, 662606744, 841420338, 573918114, 324382384, 170707692, 905617689, 658398453, 680628077, 352481004, 177985935, 804006151, 650507121, 498451173, 335368061, 260938064, 1060484603, 1033786137, 344382870, 968648466, 332510722, 825566701, 910925069, 169831966, 944222571, 728186015, 544548237, 364792002, 922616153, 939456608, 229376794, 751278451, 945716511, 20244924, 881132538, 102225524, 815434243, 680658376, 388898934, 224459592, 762815432, 938212600, 499661211, 994605851, 170843239, 195580457, 727523122, 926043780, 1019324106, 457163154, 647923829, 118841872, 182292203, 499288632, 800775072, 450285587, 708923347, 614492740, 747315663, 1046687518, 864172597, 570511046, 41618152, 611344701, 197854666, 786964155, 258985701, 609619215, 182031132, 641630995, 491150178, 557933021, 36625946, 659270962, 43028584, 710339544, 512749257, 253263945, 904948842, 120919195, 172208380, 652000660, 328871865, 879287236, 1000964776, 767412010, 181747744, 828795320, 387595096, 877300171, 459420451, 5783578, 116343617, 66284927, 115429637, 216732003, 618803719, 1063368708, 995021563, 305827984, 691079366, 594662205, 174847491, 483952435, 739662434, 953196197, 359887706, 574711603, 600739816, 169514438, 1019802990, 669067179, 40236364, 768392561, 844769790, 497071208, 346445925, 26106799, 499749687, 577719396, 509168586, 720396531, 29828646, 611463251, 668034807, 947400080, 285252686, 570800640, 335228075, 343269216, 212103187, 817706069, 528473104, 418461085, 296413156, 753406407, 286516625, 590655508, 897320423, 134801511, 998952044, 935370881, 308887632, 817205038, 1035713219, 670370085, 552765949, 201738103, 807932128, 166991598, 755840956, 805364514, 588899845, 117544043, 383500301, 523591365, 638777431, 446140017, 1039376470, 611171447, 635930388, 877658622, 861076958, 50185915, 786148908, 114004694, 279054393, 704623332, 479547792, 664187895, 27200928, 955074831, 233969915, 529738604, 645675526, 254418736, 507164806, 249429532, 537945658, 461418208, 647792237, 640831767, 668027962, 991735115, 655216476, 490032494, 735292984, 802536726, 147408806, 996407556, 462094149, 1053371163, 206449398, 15609232, 192958314, 540345412, 928708696, 774138963, 732454866, 355660898, 1047978011, 594038387, 574386850, 575898442, 261614432, 687118549, 1044765297, 129850365, 331624384, 739631997, 150134049, 758743636, 911506444, 660007123, 811525160, 368919137, 692135053, 100300808, 60153219, 416584571, 208450883, 546733688, 277379491, 535057247, 333499535, 149243974, 715885163, 332687789, 643859155, 993709466, 309092272, 210139181, 870813390, 171190498, 759679181, 693081679, 556274486, 305681860, 615613541, 241134769, 658716372, 1055923013, 158789744, 442621177, 640256673, 44505500, 611047290, 171927916, 564232794, 232597016, 533377667, 963346414, 620106679, 347566492, 408186956, 661744205, 375025131, 599077406, 554308091, 870042007, 109793357, 501731698, 98508450, 49718989, 555035948, 485957265, 52884990, 679360196, 766445923, 319505085, 948710333, 399213647, 239169489, 263189616, 81574088, 23306082, 180607879, 899532013, 35158403, 383830645, 547882842, 706411060, 552728108, 789834606, 474534131, 902476446, 519313109, 176050800, 198171110, 174750790, 187006951, 664230607, 875137324, 330040480, 844285922, 270624245, 787444409, 691482447, 781558162, 198475134, 531955990, 407918558, 701882233, 326087556, 568252855, 587086852, 423711264, 329146186, 822568405, 987220455, 400577620, 19868738, 635674592, 450004260, 423251367, 485152689, 1018069634, 347096272, 387910814, 602504965, 960209113, 972611986, 70533962, 155137911, 19378922, 827793945, 670199044, 976827571, 695601696, 735384685, 395916757, 123943133, 534730144, 109303509, 422047143, 870012379, 440259547, 174472111, 973064346, 180968379, 116429063, 869271650, 839442705, 638802561, 269131632, 777992275, 697450543, 59255585, 93885555, 413747342, 74859608, 853727358, 963418761, 526305556, 683943179, 929054780, 528169366, 73034385, 991663040, 508359287, 473306449, 94716406, 449883680, 727633916, 313629002, 582139982, 940620518, 688958305, 752030264, 337765669, 731074808, 769849680, 841291071, 114101903, 167408498, 863688575, 830270428, 757634917, 1024009810, 933363038, 1024526512, 681186194, 602414044, 767739576, 488707883, 999231035, 713631353, 882241826, 161901266, 806315611, 414370493, 787090799, 186357232, 265523234, 679666800, 1006468316, 665043454, 406771330, 975745560, 507774172, 530029248, 1024878496, 795680022, 263793472, 630755954, 565097971, 811390994, 992362238, 139896395, 651801732, 899132229, 186581878, 1064968916, 291364720, 136452016, 111802066, 794923041, 793998145, 430954769, 404817187, 476311411, 565698802, 871435206, 285731273, 177389420, 181642097, 833582837, 1034475559, 986298540, 28569828, 365382163, 437150586, 808965949, 598051886, 884201703, 361290735, 356313491, 886598786, 998380945, 445267437, 919827693, 1046367341, 847347425, 62489687, 700764059, 617130536, 1006094286, 616816742, 724558744, 687287356, 936194088, 837680933, 130295377, 122470393, 1069766449, 219584265, 599820614, 240047853, 295805203, 520657901, 427678908, 758202882, 593616185, 747144040, 422121307, 558922059, 984504789, 1033404283, 623282911, 1007092561, 145913947, 557858050, 140492325, 637413024, 454681998, 474439939, 447734971, 152741280, 1011524586, 326612398, 1025987689, 1011574623, 949386381, 635884007, 341174128, 20115851, 562117563, 392122977, 31387756, 383670952, 202039931, 785812811, 855456570, 873264326, 648306860, 512455868, 428538321, 766082938, 141589352, 313202891, 230492261, 705765456, 552833933, 406473721, 770265998, 1067974969, 736973130, 618755386, 155082516, 438854656, 524886110, 90186509, 240873744, 598864233, 89937945, 441991738, 309706297, 1045403445, 838500436, 949593188, 946302141, 194196200, 959005066, 315383360, 544759912, 821514820, 360930934, 704343900, 721253662, 569221194, 455325181, 102564057, 149606154, 296233457, 470412856, 688271320, 888844044, 363889362, 910619577, 291580680, 680957113, 254432522, 685628323, 493682702, 115243694, 198528923, 653865994, 214555750, 19932791, 870146157, 512498743, 696263313, 442220739, 993741271, 149394548, 278586176, 779038389, 152552715, 56538046, 619587158, 829529309, 846617784, 937098504, 909512021, 979042517, 682841550, 130926583, 1009100289, 137468489, 457483729, 868511342, 174633683, 851636191, 801470098, 86744946, 965008960, 436057433, 976135326, 353195617, 152280023, 418532318, 276440816, 977492060, 621622945, 467751115, 412952398, 299754657, 127614052, 200698571, 872687758, 243033252, 1026549029, 80537758, 826019928, 43538012, 253946844, 345498555, 551484755, 226939288, 319872750, 178406783, 285257589, 682034230, 63744496, 519507881, 279097428, 912445854, 986465619, 634534205, 206396338, 379480025, 496963384, 841949817, 958858795, 95147150, 821231508, 211983183, 89716054, 528735362, 564386374, 675194025, 68749491, 310905158, 672725925, 326395749, 135724470, 164402691, 280070137, 278292426, 522966149, 1061416006, 876805514, 617264171, 913072297, 538277520, 1005703949, 653875286, 987795981, 319306922, 350870771, 912606987, 80036902, 744492901, 300995182, 591804562, 470464779, 471739545, 712262260, 542474318, 740264212, 811452137, 208362735, 328905577, 141592446, 48374583, 555505919, 188923331, 929333759, 899760662, 513061958, 157556650, 414401632, 675336748, 1002362367, 368734380, 397389444, 341247391, 573542471, 537540634, 932796724, 266613011, 405390990, 822760293, 602054824, 164347321, 769307499, 93808001, 935901210, 705035149, 273282044, 905245615, 979382622, 428180464, 230529484, 647587684, 665578778, 284953177, 521084869, 909011865, 469689076, 520642059, 590765208, 705920130, 691307844, 59888771, 233032962, 151672071, 525890330, 64402279, 160257661, 593474272, 1018919964, 332398668, 804936173, 284056718, 879313025, 425537213, 550617104, 392368222, 437470466, 632175917, 948376528, 492045403, 882258989, 634786103, 442872363, 917662502, 491162733, 539858001, 799543338, 430321755, 805640398, 601483955, 247923245, 22481072, 217241313, 439279005, 32192214, 176777738, 212987705, 855899678, 1059320694, 896470849, 96740406, 584248446, 981324473, 72761652, 1053249957, 509964859, 94450698, 627601654, 162238040, 382439494, 607925289, 455102132, 517641492, 121053671, 497047407, 560491328, 195469569, 903753721, 355770508, 396693299, 463276160, 542128845, 889268441, 597802259, 884631669, 757797812, 321863654, 208558905, 490432648, 299609788, 514142758, 729358646, 155660610, 855665853, 938811830, 356260306, 302625174, 188142188, 79005470, 833959374, 532450367, 822274426, 163125070, 283210119, 661856345, 674691693, 703691580, 18175210, 968810608, 413734334, 593215778, 794841234, 469796207, 607441721, 744782942, 694128851, 394036111, 1002035166, 516226413, 928152625, 453611991, 923080524, 803133378, 523859673, 392269643, 1059948672, 262318949, 508301461, 405183131, 1033094415, 812231537, 1040431417, 822744502, 952272908, 798491441, 525709291, 163712450, 297734046, 258904307, 339526636, 858745052, 137027923, 191518991, 451810102, 722586078, 79902172, 410726776, 821271829, 506990711, 913811632, 706320396, 228154144, 364944752, 498449821, 488592528, 997988121, 744028897, 1002346976, 622158464, 374980967, 459331334, 922934689, 575447692, 48270614, 307398633, 786173833, 819623036, 851435053, 293743605, 969202407, 327963661, 836356934, 421112195, 1052482276, 768236680, 833932745, 1010342327, 805117171, 286593276, 31681521, 861141443, 490480381, 955905824, 903632118, 713780735, 924694649, 28161871, 388043436, 140069369, 4667730, 778092533, 14669244, 621157546, 153387486, 487596490, 607714453, 513078359, 5935811, 201433919, 873864766, 36056592, 419834968, 973190162, 531756882, 853691625, 89973740, 328500188, 156980376, 551877001, 1016833032, 54505769, 814275541, 836854996, 1030671502, 957200490, 798794727, 195187929, 937146205, 706819172, 980497510, 440581567, 721601249, 507090137, 742816878, 751405769, 424032838, 767432593, 392586114, 1037121175, 997139230, 59468822, 367116, 452255943, 181040122, 835674826, 643936020, 135121461, 327375673, 912978723, 842428639, 442756853, 1009522687, 475990835, 831124121, 495504743, 770570131, 662409111, 104174443, 86750596, 959845122, 784809638, 616679430, 504757728, 464828004, 926773825, 338507758, 1037135314, 428920066, 790377047, 651825093, 758470397, 276539606, 52819436, 1007906983, 382807864, 1015471770, 860932070, 880542850, 206809272, 239756, 105488171, 982800382, 918884756, 817460747, 506573896, 712659285, 1002347006, 795089434, 401588081, 870493129, 314919568, 582801011, 234099634, 227086310, 419967727, 785382569, 908690359, 489776006, 421427900, 349057031, 988863023, 546797443, 145774794, 200656947, 697258569, 990553413, 660210130, 713722207, 674292213, 68838959, 201009761, 210073235, 960674231, 719012735, 325712663, 70129255, 785798870, 744446660, 51310230, 332216351, 1016324989, 782607464, 915438057, 933286134, 648319445, 495518809, 488411411, 719837526, 467516942, 689362004, 456473730, 44899331, 1048280152, 779730448, 551464971, 880746039, 937126434, 582392319, 987095746, 302215670, 809207881, 591550994, 984585736, 149937438, 432152068, 182648279, 1005640782, 433416128, 264974300, 54969845, 941631612, 241349151, 441432688, 34032230, 229373242, 1059635253, 697914969, 892215870, 771977946, 777108028, 521008352, 738592600, 157179814, 179400734, 819500982, 433125581, 363911563, 285812437, 281454530, 919638830, 150922, 389986480, 245064559, 847894131, 660610236, 750256209, 223858169, 690624262, 780579663, 171680780, 43820353, 177421573, 507784626, 508829906, 824166558, 473503610, 476391716, 655199699, 793943421, 1015606743, 695735150, 860753423, 152557599, 792978070, 324577199, 176895360, 811902947, 42028234, 510607532, 426226923, 386380455, 849470720, 605978954, 732556412, 373772523, 325990691, 899563509, 1001874743, 222751914, 133873350, 818346142, 302263938, 548155379, 171033453, 410824553, 469548704, 310585731, 221786061, 164101380, 631178803, 581324500, 166108809, 685751204, 850029339, 267070084, 1031393201, 333477755, 844545989, 431323228, 308850618, 296771331, 371235451, 1067486968, 791887402, 860434817, 376193783, 335630254, 247203785, 284046236, 252400241, 574488664, 658378276, 1004081948, 749121893, 786543303, 649579610, 983286260, 496671971, 285202137, 519567083, 970432149, 879616497, 288380071, 991975456, 32287467, 395919963, 1062184722, 354945947, 980255754, 405334111, 234875407, 599707516, 549707284, 259844753, 465521171, 379981226, 212279645, 885084740, 231704398, 341994154, 828217229, 444827025, 640975520, 709528078, 700394468, 473360631, 593781278, 354763220, 247631946, 151046104, 1006495114, 166258867, 542594592, 563594932, 673169176, 904904705, 1072721911, 326921339, 28282932, 130873019, 780893402, 859453, 979301959, 917453199, 330650386, 1002392001, 164831618, 628792352, 912545839, 404384257, 12691515, 203688576, 758138266, 1045109466, 484389932, 520342485, 800245127, 294238483, 552035612, 507105129, 326925307, 594014524, 913272659, 1008376267, 278298010, 514673707, 186389453, 557777220, 351952266, 655249105, 445263697, 922008988, 109421205, 899945609, 539773244, 103256375, 259455242, 777869, 908603847, 748111856, 438450288, 966091049, 693407093, 804069961, 972744968, 10135375, 919879531, 872805564, 712464708, 564362246, 906098906, 50869655, 249997384, 480301368, 571233403, 282518118, 924140061, 630554618, 253365487, 811884545, 61628583, 522533971, 869048100, 116438487, 815455771, 407849473, 215619662, 258576052, 352138350, 666742163, 958534011, 427562405, 360732262, 1052746812, 1054040121, 21848499, 380596063, 363946248, 1056538281, 737636817, 421686069, 894668434, 49751533, 842544104, 209847325, 927368716, 428610974, 794906133, 65706645, 7821750, 702848480, 698027136, 1045317594, 30885699, 38670297, 50695579, 841555739, 735474826, 621149513, 677947316, 88263871, 193936059, 415217748, 644837262, 271624806, 1060174578, 717121995, 29489856, 633085381, 300594248, 29486031, 194049490, 287694523, 283570257, 455548220, 283149330, 1015666398, 866626917, 506324644, 145117595, 643353839, 582257131, 874486967, 339131789, 999829152, 71887981, 515688460, 890204525, 42201262, 139384563, 396932176, 909651209, 126935257, 551388741, 924369524, 393560188, 656715102, 549674950, 763967565, 558267158, 901655201, 181885779, 640350829, 106181867, 781086247, 1024795805, 792977706, 195850211, 928988287, 965055023, 515708428, 998366900, 393320055, 272844929, 703166093, 308810790, 104211769, 784114697, 840740390, 281443491, 367129686, 1028278342, 930775987, 200933348, 1016216556, 775717329, 1049509043, 917147954, 142671803, 733936674, 769252940, 730877812, 469591636, 865597263, 323360073, 490609479, 213837469, 427369430, 478270679, 494668252, 643730143, 787005106, 522176088, 462220385, 271787207, 938674214, 902020604, 937104735, 524699940, 809251044, 866362737, 797010747, 893174118, 834210484, 727203765, 425255611, 161096143, 268748140, 359403208, 422202177, 645038602, 516895375, 274513942, 789982349, 250140516, 572375654, 665561645, 311010895, 728664710, 46231549, 561063460, 648282544, 578512632, 726248871, 243084071, 181009415, 547213324, 252464345, 148693401, 192813424, 723418540, 238484678, 279867829, 243212425, 108978555, 196882135, 1009705294, 538718579, 801276175, 187841331, 320717148, 834384541, 796520677, 684352383, 830495514, 69153582, 178548810, 191402875, 457407794, 571202210, 132345345, 96504943, 987755196, 685929898, 101593301, 260936172, 882498320, 62525941, 222422586, 351463453, 857426336, 455769930, 349141449, 653276316, 402525882, 677419008, 636627310, 764555303, 194053356, 41479139, 236629832, 992528143, 157522387, 351211707, 781113310, 547353761, 808726879, 888108549, 659328520, 723043223, 178874802, 147500854, 1011494837, 1070077260, 851967883, 54661712, 472070750, 150405390, 1035748918, 879405669, 720406929, 626237394, 918350234, 271056522, 506056114, 960577255, 782610499, 253393443, 301474392, 656902636, 543868191, 262240156, 665203669, 258840331, 862312196, 381964823, 810201018, 226675199, 208443773, 467558403, 456690771, 740246361, 684442423, 964780715, 985139181, 747276295, 1053072259, 973730800, 552720782, 89074235, 83590894, 180612705, 165208475, 593751720, 841102780, 466380834, 881770022, 555320642, 139311655, 509078322, 454618565, 884373790, 851716678, 367054962, 82497019, 857850189, 873892444, 587717053, 791595910, 651868992, 1040493108, 21166486, 956851775, 330418919, 703416755, 320635320, 761876772, 104800276, 163822550, 58505041, 1011002215, 474904319, 1061398761, 285610345, 34877922, 714848295, 996144169, 158071392, 714860392, 207912745, 98314103, 108576518, 874695266, 375774651, 131446628, 725263561, 359875125, 1053393378, 576329667, 824770084, 702589396, 176153697, 848199800, 618466319, 904435620, 601876758, 770050942, 767343189, 285268717, 332050293, 259796269, 391836358, 122528165, 1056958693, 666115822, 535962980, 626461991, 177180355, 133148310, 976280217, 75569426, 340751369, 630112342, 504825255, 1051550453, 215697935, 579439408, 853763916, 241613496, 1046988875, 550221065, 676259055, 93728891, 1016758431, 205823747, 795716343, 200701481, 466721408, 164231953, 152765199, 480727067, 686987607, 946191994, 1001117146, 288192656, 926922581, 567880133, 555920976, 870799323, 977401411, 422292301, 940390962, 135582651, 766196154, 165700090, 942823385, 95667776, 706230553, 366319471, 240129492, 790807507, 653901245, 185972992, 923057170, 181273468, 474107131, 420452063, 457141318, 801541045, 142359991, 775411011, 59538633, 31105666, 226453320, 464113394, 298578156, 580259759, 695203550, 533056163, 339895586, 185978463, 472699428, 102433016, 846590246, 102102226, 149697889, 932264549, 598813421, 549698015, 1018412365, 330111786, 798025936, 279068186, 64420819, 484301515, 342576754, 221373423, 664371198, 503078385, 869847772, 1041361367, 1064614963, 29727380, 432587749, 937436955, 348091532, 542829038, 923303705, 171054832, 422686286, 391757518, 796344211, 856768571, 595742295, 1054660274, 695302825, 1015408372, 1015172141, 651717461, 662621180, 742662508, 471048813, 514505063, 211527884, 634382784, 811811570, 624459681, 282849121, 63147486, 858825519, 761326982, 385682594, 80630244, 53371649, 759686390, 198845373, 815220577, 409065972, 526739254, 629809088, 795440997, 38058786, 985754919, 1018101825, 386529307, 511169213, 570675209, 114082236, 718128459, 515881512, 1034223037, 75442679, 381294405, 137361306, 18719304, 423231053, 641387297, 4844851, 450067244, 548481960, 147937243, 742748785, 539239666, 36095427, 294804468, 606384708, 568440353, 181724826, 216060242, 888292509, 997481385, 705981495, 708373243, 568058835, 469788082, 182671222, 835560270, 290110989, 591108537, 221469792, 255591508, 37872606, 741932567, 973599196, 320238979, 957775630, 980723101, 127511099, 89744753, 355876737, 399665706, 203211470, 892798610, 1043724839, 189516151, 437856076, 677315295, 483846157, 332112301, 345626060, 267958475, 250729878, 405035803, 686351888, 25144087, 927569730, 947193979, 800414101, 433653954, 916166890, 192782639, 353089005, 1000011929, 33779180, 313741172, 413348009, 1060221993, 735740297, 616931891, 212626640, 269492431, 350710637, 1026337802, 491905121, 519717155, 1012708375, 501648569, 988865503, 368135683, 129631641, 268676542, 723618614, 817643183, 918900695, 611255836, 912233776, 46189261, 1071649076, 726349378, 143266245, 36293213, 587098524, 352849586, 206633136, 259323685, 216781126, 287332984, 311654773, 369879836, 386581730, 405405824, 1021048363, 664090912, 761049140, 596652715, 353511004, 351830037, 548042176, 677463167, 456361784, 745001055, 649877788, 953300073, 906671878, 836649422, 218713069, 214324737, 434942119, 718817054, 996379611, 834450307, 388931555, 563102694, 166955241, 799214339, 54807284, 262287855, 243875752, 852528156, 332467468, 485157727, 538009097, 354065924, 1049961797, 525545648, 267565428, 999981443, 666514356, 491409695, 702812215, 601468464, 739132343, 765907091, 334634108, 556587190, 277327334, 755883927, 754361280, 451783292, 711730198, 918034113, 104650380, 69052129, 637467265, 591763873, 390520124, 1003656705, 765524362, 620068298, 130408373, 320356599, 920558692, 775936568, 508680723, 256182846, 448916465, 723904699, 216707019, 283239947, 177604822, 717972526, 890842026, 510318156, 940938721, 605700217, 475870055, 274656464, 800355289, 739642991, 979653998, 890916901, 778768410, 635740213, 251674021, 662229847, 725522434, 114741804, 69919286, 679007420, 45241443, 18960320, 464232893, 26263874, 962982613, 796982569, 54680359, 680053897, 1063466922, 951217050, 949962815, 38187478, 823123859, 185295535, 274869012, 804346724, 307354403, 274500180, 953624997, 940853486, 523031180, 319224615, 73343416, 799604287, 842547037, 830545650, 342436833, 444801909, 644848480, 146129690, 1061109139, 643536230, 745440517, 100974051, 1020789496, 601725831, 831529729, 272714366, 234341140, 57032580, 305583910, 951509259, 51669870, 290007483, 615789034, 137074467, 921775263, 475582311, 720906150, 987363603, 708210999, 790309156, 516096149, 392561265, 378923301, 722613401, 956487994, 242709847, 821326328, 160696968, 571216361, 313839873, 876306642, 420981668, 905383399, 263122635, 780249964, 217124746, 965497608, 715292183, 246482548, 1040220013, 928109719, 470933453, 712066345, 279927234, 1578980, 779867034, 298650614, 742466604, 312475083, 631113160, 918813066, 524994902, 914002878, 603285186, 816524967, 171258414, 403217544, 483829410, 624334044, 561395516, 752331442, 90468619, 685493627, 806779625, 366741239, 1025709364, 291292903, 993289803, 546198585, 261146500, 241034016, 973908343, 532666969, 817217171, 695046894, 52360431, 277393279, 487144276, 183082513, 150528023, 4777098, 955988989, 907793262, 852891959, 450675577, 889399120, 435472697, 185613197, 597071705, 474084267, 1005112600, 829101870, 527292961, 318838872, 156411089, 314083522, 483980717, 419454509, 244300657, 955214715, 572477809, 277457295, 903782857, 950273605, 323871086, 281616784, 153428582, 469350183, 895378940, 989589984, 300577094, 729708203, 779871702, 410075268, 559537121, 289546252, 681724478, 331225849, 278356083, 890743803, 466138717, 482206983, 558532714, 380330024, 204324196, 492099196, 216008235, 74183651, 407555417, 179306859, 779725764, 1036966062, 420644758, 97709764, 580206021, 10566832, 882681908, 935723859, 1069148274, 228596755, 66728907, 538007800, 100813782, 885816068, 744053155, 177171117, 257708499, 968792433, 88573217, 768357372, 372248966, 114935312, 427423506, 516180055, 236205440, 540082325, 921454163, 737525368, 386125175, 593174773, 777331097, 1048748494, 196465954, 27942773, 695770091, 276182841, 533627514, 473715512, 523124813, 323264915, 613392406, 180301299, 582800214, 212238124, 405042404, 584670172, 199563734, 717540255, 243724923, 1056699063, 990176121, 406073572, 429096794, 514114728, 355879570, 906997264, 732088248, 1058610605, 197835442, 464376264, 1063404514, 544580079, 797860450, 782501489, 514787918, 535446550, 268643409, 53371798, 415060581, 1010970789, 486507506, 142164692, 352336092, 118397771, 384945352, 507740233, 228144078, 881851470, 419402971, 19623454, 842898514, 449094337, 120717459, 967761149, 671443237, 434002703, 913769890, 613513609, 158816878, 949166423, 882460623, 736891191, 106498813, 685290844, 650018332, 528973623, 727710730, 545367493, 382289512, 333333054, 442778444, 549550402, 929264005, 823182607, 848464815, 398223415, 202358334, 478794228, 779575044, 1044930243, 1060450998, 177163014, 892548108, 550650671, 399918047, 991271046, 219496333, 28648132, 1061714684, 822477396, 414291738, 332659856, 945371509, 755517332, 339155119, 227759077, 127451456, 307675924, 217694385, 139008522, 547655715, 66308017, 493506360, 232270901, 349996706, 300361583, 135101100, 749955441, 1070967413, 289169994, 768738259, 533760884, 346016077, 531790892, 639375769, 339237039, 648686069, 223397290, 808325884, 1046155909, 553186021, 1020629254, 993646680, 644487899, 779984741, 80334353, 30318659, 271619304, 17287797, 38700056, 84187375, 682384409, 912554525, 234820697, 258546402, 798192710, 514437152, 815390377, 856401818, 820524458, 482438989, 388236090, 231520464, 393587349, 215422801, 595052225, 910699771, 380189081, 387607991, 625664722, 350238264, 32733054, 9513282, 978316950, 763327563, 73385111, 772601849, 415974073, 589589701, 76020489, 883922787, 160814211, 849331725, 468061123, 583185474, 134214006, 304935919, 328780297, 1042505315, 241673312, 15684745, 420255272, 70008625, 591010144, 601275419, 911154692, 8206902, 539303036, 752100003, 240201606, 442143577, 23792332, 209681774, 640048364, 816015765, 804017109, 318158760, 282443548, 749606389, 744356570, 19040757, 155455609, 103407074, 683558270, 750640139, 206225779, 542887535, 452818658, 589842434, 76727112, 666304065, 652225327, 563913733, 282985243, 1067214502, 103257390, 106348590, 320141364, 576486122, 575485312, 263848849, 442984970, 290765264, 542074677, 637013953, 982769854, 69321452, 523706127, 821187438, 25145000, 861528311, 966104982, 506723448, 689251795, 96880152, 895278689, 870262979, 558495509, 915935481, 267283711, 183399601, 1046911398, 458564363, 433385623, 665217412, 473040385, 714872170, 1068152284, 783283102, 152649219, 596221108, 412123135, 706953295, 672963700, 975890819, 332738677, 521956830, 787902944, 126730046, 121634621, 324595977, 877153795, 553032167, 682385058, 556890273, 559963122, 507961400, 579045132, 924958894, 357563021, 779461796, 1068091201, 369672296, 212825290, 116615212, 740725126, 364066968, 606127667, 635512041, 296416092, 459816831, 966928657, 305503467, 540880935, 322207245, 53399468, 517036315, 454472560, 247911079, 792353739, 842996133, 301520169, 965236235, 219993847, 628112507, 980879197, 315075342, 909514452, 391860519, 822789917, 8578672, 198522566, 257708401, 1057720020, 728791851, 695419533, 800586699, 890971372, 197386808, 695907461, 1065688574, 345791563, 938013435, 395457823, 1069700518, 12948314, 371807225, 567058359, 567778051, 106463118, 1056466649, 395794676, 179338835, 995432520, 746194890, 904039834, 1065256498, 265450200, 381738646, 360399044, 989525250, 965971331, 498269143, 500349379, 813325763, 815652170, 338395311, 266029384, 649853351, 639662587, 708294158, 185387096, 240161998, 230750710, 949654070, 904343897, 872497797, 661392924, 299964957, 291075125, 862997633, 613835745, 85663853, 505349199, 814557624, 173810876, 249707022, 981919814, 316014773, 34464897, 276885319, 975563680, 505511009, 748795017, 179254908, 844864519, 122625160, 506091999, 732293850, 628912176, 169955774, 968596150, 151400148, 383850826, 712555145, 1047601745, 895141601, 949947711, 541242167, 294555653, 48739894, 581850510, 178798951, 138935924, 60496629, 434458102, 690050317, 996862061, 914766659, 667239157, 427772064, 1023604509, 736844853, 385941725, 109417429, 889999232, 771741821, 627021555, 471451898, 308126487, 304400752, 1047702367, 903986072, 821096976, 421378727, 889224639, 715417305, 766780216, 107309224, 918576163, 445882234, 958503156, 534635874, 948031535, 260005921, 317451706, 532142851, 551146167, 1049256906, 653200182, 720830342, 383196200, 192280764, 468682490, 212654991, 73188072, 829414510, 769131329, 1072139386, 1029175450, 23642120, 1022424978, 155322050, 666861494, 67969391, 466940175, 249669426, 173719090, 334693720, 460114749, 908031186, 752528885, 570765011, 109559358, 660240855, 48996789, 602738978, 870616770, 495759748, 297491750, 84344278, 334284005, 945696373, 888134119, 258695650, 470654393, 835144762, 870409222, 597586143, 262727056, 509197088, 621940286, 834208760, 355504452, 1054776343, 542549323, 442280529, 1059988521, 730002730, 591256681, 685185548, 891284349, 980452358, 245394725, 939824708, 585134883, 367392448, 909918035, 36821043, 221363961, 365934915, 171594582, 169666445, 503063847, 234782030, 893039727, 387510473, 382147348, 1065981198, 390919943, 816856293, 297954315, 274185220, 221415435, 241800986, 582834933, 578649579, 210706184, 362209442, 190955227, 815004018, 444016607, 989848747, 869658228, 62956094, 827699872, 1000029087, 198884610, 795174894, 931156266, 297124773, 362141243, 501389228, 593079019, 438797200, 982480512, 752084280, 437039818, 572240253, 558525147, 134860229, 239764660, 548975552, 135918559, 77291422, 800195801, 915962680, 665462394, 906032604, 873525094, 701711789, 819309825, 542472458, 238384341, 981094193, 605145499, 658682722, 828279520, 1057391018, 986007876, 526912622, 673653078, 995432668, 56988497, 1049464439, 494625376, 839055516, 1065033196, 95140089, 282195754, 96055750, 613230924, 362115602, 660066657, 230332753, 748529515, 541499188, 45139712, 358408959, 189077147, 938844840, 347620249, 310174352, 263912417, 924361190, 887087055, 331627043, 397979286, 439875771, 390225594, 815591299, 935593350, 46481132, 360982416, 1022408449, 375172378, 636323438, 202688447, 18824751, 864896844, 669975223, 874029981, 922682366, 765053657, 106150109, 665202836, 589199231, 584405384, 1055192778, 1071013573, 1052553434, 420728288, 1027986544, 832237947, 451651560, 235369717, 735678154, 836089005, 191771981, 451582411, 1070357836, 784820203, 639726501, 333928977, 364492466, 651324935, 241078113, 759932836, 51099846, 679995204, 576880564, 411961460, 528464606, 1029011753, 159866634, 290293773, 312342332, 864460194, 324492507, 831185144, 598443620, 199843107, 402698412, 897327212, 976099883, 880925494, 198209544, 174692121, 143072154, 1043965656, 969461502, 101750816, 774469545, 980714906, 450627821, 436512098, 247070681, 557155349, 293456954, 328594797, 332636977, 355717294, 446963853, 776579103, 29699907, 425927726, 514948590, 321737694, 404706254, 919449225, 850228575, 739961625, 700922751, 967651822, 1051793679, 959369363, 472966378, 811605876, 95127209, 505215237, 644502254, 883962501, 823914658, 268858138, 190485935, 804905946, 447749207, 294274715, 368597551, 818105567, 216777824, 491100837, 847216607, 1006187683, 315764451, 827278943, 115165267, 425078435, 982596876, 850992852, 1012069471, 216234635, 869088307, 264521092, 388446346, 519659302, 1014001340, 277229954, 218764873, 512428767, 642094993, 286099135, 883125706, 634303743, 933613851, 635653843, 1044647998, 265083521, 859333471, 432928457, 456998697, 928609847, 733258431, 961867190, 57683707, 743041000, 716605302, 1003245599, 882832243, 791744314, 273892411, 440019640, 553450163, 1033276565, 526900354, 215343059, 478536354, 362998706, 1067435286, 993956, 580515866, 110175821, 510307533, 474651254, 969656542, 355249790, 281352696, 44422170, 613466002, 401978845, 8559092, 318563548, 162419994, 996802373, 5668337, 811955551, 872216709, 1000427642, 907442101, 615718094, 936392542, 716077659, 875159351, 222856339, 261695426, 512540019, 69717723, 1065439775, 982816522, 331099042, 214956273, 376005906, 795721075, 797716626, 1032509565, 744878423, 985459327, 7086309, 1001477671, 895556222, 350228888, 657741675, 286814772, 300936546, 858523117, 296275212, 490401535, 526028973, 848929003, 23359496, 392478233, 379181183, 849623181, 101555186, 982096634, 457189194, 411122853, 274854336, 1048915176, 606648044, 151067735, 829769377, 816587006, 837964514, 313849465, 132926494, 516460624, 520319935, 658315758, 730155339, 499457421, 1027475498, 695134684, 176463175, 9990770, 293015538, 158251038, 830163750, 857463940, 6172219, 261737612, 707283923, 239607318, 501154684, 1003498724, 699791105, 740772135, 224789797, 275831551, 477535431, 996672896, 690955395, 156738224, 345000160, 1048558148, 330465068, 1017186955, 773915873, 663457146, 687983356, 957493327, 823193162, 122743488, 492834862, 615313996, 949674713, 1003311942, 585082966, 450995915, 619333218, 116985614, 740664854, 805906945, 6980283, 487782506, 952299809, 992858305, 846408262, 404372770, 513878666, 351722726, 890740904, 1017363486, 983711947, 4789296, 434256760, 76314245, 410600980, 950296004, 753289234, 244838414, 956459069, 844289791, 524406763, 870451194, 2542896, 686028716, 92136997, 611043004, 131204135, 581458834, 913915067, 188603830, 344915170, 932263553, 336093199, 516043448, 697480048, 749451091, 1022844698, 497355856, 393299041, 406460333, 559161533, 836016776, 678217435, 31357727, 464009832, 932579846, 515579847, 635856027, 702628913, 1059367227, 341609645, 593274284, 883391140, 111844274, 1021117601, 803756958, 835357936, 806744158, 709994355, 292879640, 871035073, 251574541, 190224202, 744934875, 526758023, 655601548, 963218376, 562502448, 11850664, 439933849, 103114045, 967578906, 501557727, 571513401, 428591768, 98593707, 42406571, 898252906, 85329319, 799004473, 968314209, 613153797, 37598025, 61982912, 911449230, 227817137, 541621548, 909478591, 818859741, 925139277, 928817716, 651873882, 364667630, 670329839, 85190476, 993836196, 742840428, 276935543, 382706959, 952602165, 918836471, 803152407, 128043394, 713302252, 864162638, 47201820, 984112122, 433572955, 57423372, 1058050495, 185978810, 968239321, 129474180, 61348211, 557998110, 628433102, 191515009, 132229723, 849274401, 6675600, 71030234, 66633622, 952278295, 710046345, 255943624, 113976761, 47727272, 903710988, 5173429, 169757392, 882568916, 16291631, 19627402, 394250791, 976859463, 124056936, 56633453, 364095223, 1031042231, 226097626, 188597565, 978845169, 271036622, 793106633, 213816423, 121956653, 478120550, 770612179, 205388007, 431354295, 78981429, 547751872, 460350852, 747086458, 183698969, 280416658, 751158735, 875397985, 469084811, 803674168, 260803186, 349229141, 295179223, 818322980, 1039597354, 653669722, 579329813, 122606258, 752915288, 986403495, 338711676, 541374752, 405405840, 563281045, 9248025, 823721066, 849832141, 67963242, 291489584, 272519432, 75850423, 394070548, 862661578, 64128309, 122002223, 23811738, 856838574, 695492192, 156859086, 849258628, 958868362, 166589443, 999395227, 704307209, 25100695, 492736931, 567229701, 445038377, 989088165, 342516637, 914536941, 698761847, 486038700, 591250705, 556753652, 627788943, 491785576, 622112263, 474987600, 434378370, 1032936927, 41435741, 456111832, 5155299, 445365135, 362974251, 679717576, 971039063, 429040218, 724567664, 119466631, 135333075, 313067504, 93420722, 229258846, 335773427, 842621108, 483475290, 878637372, 684061349, 190088879, 647604491, 329191563, 1039712558, 819360582, 902698719, 225640735, 34041549, 380777729, 21022153, 266820307, 558853856, 507220441, 223789030, 816324631, 238917125, 490606938, 861790589, 617438440, 836054133, 761063925, 343732705, 84084362, 940463291, 279545175, 71029752, 489946163, 623944572, 187643603, 1059380834, 77728570, 187633893, 375664650, 439767045, 235567594, 40841213, 881894472, 819596067, 269805171, 971014127, 666367146, 916789663, 609156042, 961858433, 781622437, 780259871, 18833094, 276513372, 530081017, 242313637, 93826215, 489926145, 602363964, 712604044, 654554684, 1039317006, 534543314, 355639803, 1072907636, 1057192488, 979202338, 720172592, 755852854, 1004091283, 994228899, 841570367, 952386878, 887709939, 328089925, 381231329, 548103517, 792325690, 548014932, 87907376, 840016559, 155974802, 328540683, 246502871, 524549539, 971666747, 362213069, 863006268, 956008754, 335559594, 916620598, 613380613, 216534446, 54054647, 817242726, 644974183, 878305567, 182757750, 325255308, 1071763056, 692108515, 484822097, 606716588, 503840620, 374909709, 659637476, 670588656, 915814356, 731360309, 531411317, 729293202, 130758457, 610296811, 379788257, 176550885, 337309723, 2811623, 768627653, 105746038, 710666614, 33384067, 657096342, 914326839, 535193748, 546411098, 2872650, 558595569, 872698336, 87252286, 730026176, 890878216, 523628376, 654638480, 357090825, 298339419, 692034971, 1017511605, 660128032, 38269873, 352394387, 672591412, 495027360, 221438287, 57853395, 926103393, 571912086, 802646045, 651667987, 172667837, 908936308, 375353371, 783472546, 200445342, 549734795, 49945512, 890866324, 39654940, 602059897, 1019088140, 923179336, 875247797, 43209903, 217513643, 1069728113, 591537467, 509779610, 809818779, 530774884, 475348781, 4180002, 403016715, 794943553, 56441253, 101413248, 265737172, 914764448, 564250103, 940296447, 90407970, 436607364, 690435039, 375718365, 306288078, 697769733, 745003597, 584108398, 223188503, 458986414, 533695600, 558996296, 995701957, 102842069, 657282530, 926219604, 888582088, 241269102, 668691971, 377810845, 467900715, 864843229, 167457526, 668309323, 966822330, 727238935, 87846981, 79340304, 245291840, 874816238, 828253259, 603802096, 443046718, 16412912, 997354713, 508993350, 899168007, 99028889, 1060530497, 610574473, 2923276, 677089921, 85077132, 688518733, 274717947, 605732767, 661121352, 168230593, 455886817, 655408174, 554088117, 976459370, 558177387, 725714789, 411757559, 537826893, 803590069, 356790752, 403663093, 279239703, 571680235, 375266694, 704992712, 728434649, 221513059, 351592636, 681306780, 230539572, 637553183, 1033493760, 693829900, 63541182, 170676810, 628680539, 952411415, 801771937, 80092733, 174147435, 504441583, 1037661893, 868528991, 103023227, 898499399, 842538397, 890630446, 896773317, 776858109, 374531696, 829989757, 237131951, 53240464, 923659913, 55018074, 954431219, 520487435, 14423216, 283991976, 396227771, 789365347, 514551686, 730495230, 42838253, 12690263, 630010800, 375348708, 581138678, 977078896, 174133755, 145735830, 769455824, 282899953, 219587054, 1068887865, 29561029, 689391604, 59149860, 458399579, 1072640735, 406404079, 218083022, 1034251856, 246098891, 1023554129, 456820969, 358686761, 786581875, 323703148, 863662536, 968935437, 83175231, 387145306, 553900509, 393886200, 374143090, 315326019, 590864011, 258931400, 142324628, 257240126, 421317753, 897895187, 201589784, 889522410, 613059563, 733678654, 840413603, 941831202, 876691120, 306887864, 1001708890, 294017988, 1026784424, 479345361, 266804142, 595197624, 225273279, 993807493, 936474586, 662942081, 67023828, 395482576, 376889804, 803401096, 368013964, 143832667, 333156595, 805737964, 1022307009, 732113907, 495764152, 98859959, 635981744, 714711905, 352069900, 433846190, 567020843, 283080719, 236765015, 365174236, 372120069, 157797366, 739785271, 810765468, 816756670, 362327515, 261086930, 709919247, 807278434, 437644628, 468844619, 29177888, 337981487, 605356890, 853869981, 972459113, 305287483, 76065382, 537527980, 1062102398, 74018271, 466095269, 85345445, 250248644, 564669429, 130383253, 168845305, 393950990, 1014872067, 1060234587, 959531929, 359095581, 10526720, 930525004, 754352671, 425200363, 563268439, 946274250, 286510157, 965672337, 629020150, 877707458, 332655235, 102348740, 511549091, 512393483, 1025091011, 721049423, 611029180, 95158803, 1019602841, 409993387, 603245218, 258668553, 440559297, 673718542, 763885318, 549020028, 124765476, 467922359, 846431916, 683425974, 973653946, 833188783, 827147273, 374497995, 944252671, 125727069, 544908404, 240273960, 330838789, 716523453, 242427663, 952537093, 846931155, 385590472, 227205369, 429148590, 975406695, 348937512, 3206699, 854462991, 892988852, 945814166, 244867469, 857124873, 535103776, 230631150, 347925106, 250358729, 1021021278, 215344320, 360414178, 167531105, 843089130, 774550805, 288061162, 179097689, 377399291, 603533338, 194891831, 712760651, 925535617, 685840504, 737210116, 251149470, 759240313, 782921086, 440411179, 741419732, 757405130, 878181772, 81035611, 135775046, 314720069, 151439731, 402634993, 332424588, 1028064464, 881038012, 796096277, 67528252, 254511781, 693305119, 524887616, 324451898, 197462318, 806552007, 1007446943, 820991657, 958031788, 922703359, 892000382, 548233134, 520035350, 349470998, 994763952, 979077669, 576766623, 988666461, 168296516, 602425739, 978393067, 887439063, 1021176199, 59223838, 320294644, 869026500, 598028433, 923081571, 705253821, 873040919, 729578935, 981649655, 434649083, 403395693, 27762862, 98286942, 628624429, 223988542, 59624479, 663808689, 938780689, 169565489, 1054456534, 270893656, 1062390952, 829589400, 481961989, 756792334, 125181356, 1033778940, 108984570, 466701525, 304053490, 991428414, 553050110, 665214683, 1051437848, 175856871, 727463505, 673110753, 896467677, 859142662, 227622607, 285222033, 806646640, 536394096, 493614888, 846164599, 612112317, 185002990, 747211220, 147699579, 801159755, 698557442, 502255612, 977027914, 98856573, 177847528, 315905880, 1045991709, 1038173793, 556257532, 1008734745, 698569907, 435994846, 983929638, 706281710, 683424656, 258100148, 254078603, 1068500641, 914895192, 268359201, 795610261, 75405132, 642294427, 498021445, 309586091, 586998965, 555483740, 1072526724, 841315225, 196461951, 794534776, 25222080, 556000909, 931183273, 272543916, 386617407, 951840691, 611677936, 325780843, 627484286, 741954620, 1019287815, 22883785, 166851862, 311775901, 886159229, 56281452, 384040914, 979296505, 269262353, 634377933, 632049099, 882567818, 580206864, 1073234846, 509587318, 561827358, 393014020, 850001596, 84926429, 524211720, 435104261, 11212545, 290545756, 1016991419, 367485927, 613617138, 936341608, 9577172, 505127848, 813530748, 867419591, 91882284, 520975397, 645915725, 874394087, 739307900, 519117191, 388707470, 479465768, 145094191, 831228198, 509622480, 651541173, 389683921, 934523386, 236426472, 64530996, 779121332, 245006259, 497665178, 54303424, 573154223, 37823513, 1022281725, 1026903148, 701909730, 687524373, 928015895, 359498604, 796631812, 634926732, 122099372, 930810034, 588824269, 971731994, 280810950, 467833715, 359251072, 843345816, 713093645, 587464968, 499668986, 256163248, 472379202, 944258693, 597274035, 928186832, 609304457, 799068544, 1013964935, 930548716, 633593049, 750802582, 115853600, 85342760, 876937435, 506423596, 16388359, 1067229007, 680610506, 429427652, 380356429, 476185795, 645444774, 621409331, 943784053, 144477484, 128085548, 225794098, 839724491, 861212237, 230527398, 655475241, 828583852, 820217556, 963799957, 1035930855, 159972101, 711358934, 176685227, 1051702591, 604991145, 1009104584, 15372920, 368024355, 675173482, 756866177, 1008799025, 945294682, 912499199, 126540065, 443775690, 286524779, 75612825, 104707979, 320526562, 619407558, 668944913, 891736539, 767794172, 112515152, 787755632, 88973281, 971886330, 1004183966, 572471787, 1035923474, 47164190, 426502478, 847052150, 7207601, 833737935, 631579882, 468963824, 234949677, 957172217, 800217554, 531337379, 382577739, 374401114, 1061226617, 21223086, 694135828, 69170701, 967878968, 785286975, 440715872, 682546818, 113407316, 281476217, 207248754, 600474179, 380395154, 150088401, 57599330, 1063315498, 203277951, 756967548, 570492438, 518661682, 408476618, 1017691842, 727003616, 871004761, 168953366, 1062261620, 637873032, 807823510, 412921040, 507887538, 62961913, 216611171, 1061067688, 186603340, 841284440, 845064926, 596955837, 200110806, 434026922, 918702432, 588579059, 90331612, 85240569, 56434517, 703759457, 1020224362, 856898507, 261675966, 722137325, 545751684, 688330200, 810373020, 770961377, 276007899, 555587899, 661625520, 533828519, 145105188, 247575458, 925972007, 651190978, 875363833, 537550751, 546446876, 95603200, 439598785, 343034282, 44489628, 50809270, 280422941, 478529076, 292771369, 63425127, 30649056, 403210968, 613803164, 438002594, 147409944, 717770473, 912521536, 433020603, 184085586, 665602145, 264842273, 133314606, 828214630, 684309184, 1059607899, 314610009, 304021034, 208013288, 334114713, 327356557, 490243600, 799457267, 871219170, 1023700312, 169100018, 926439891, 473953213, 1010117400, 385722827, 627107400, 585556603, 423398830, 815026470, 64559171, 370655726, 996416964, 868534939, 870225786, 332644459, 589439005, 9858739, 1022051621, 851666454, 34308273, 828243640, 368611364, 139031814, 533191033, 613145043, 193121858, 928095542, 683927721, 844686288, 1029202033, 501431560, 427257348, 958071492, 1004519107, 295009301, 932493688, 835869163, 53035080, 113072677, 120903139, 255820374, 526345735, 564005134, 486932018, 413513723, 820217192, 957084009, 312421180, 449183812, 21383223, 414868066, 66416708, 1068424404, 868432019, 39051116, 97092166, 749325912, 593306835, 1031421380, 925839928, 90216497, 232777595, 503273234, 262002107, 164798603, 653074104, 891429362, 688587384, 63621793, 848159332, 434761368, 61731968, 260525659, 343952809, 944039089, 802096469, 680588212, 86706896, 875908768, 212487136, 514338599, 363222060, 752341653, 1020917242, 530623421, 289579697, 610048764, 927383915, 200269916, 663907914, 1010392746, 850040914, 967482805, 605052860, 849522425, 3369753, 1038421463, 360254872, 812710214, 680251683, 768639467, 41370398, 392631691, 637336767, 943973381, 1065964855, 815439795, 1068095686, 16661938, 330865705, 260114151, 180975084, 915114246, 941416472, 129661529, 706820183, 973739520, 548924196, 954874226, 313915312, 847966089, 497227874, 741811951, 343537187, 509101252, 146228900, 976092635, 13014324, 1003939322, 325298369, 981903701, 758129721, 15293187, 383090941, 930658243, 234258295, 145226475, 842869039, 219493832, 103917885, 832670521, 872982932, 15018389, 624750666, 360292938, 872370261, 399648636, 322753303, 1022357325, 1022542914, 291857142, 342722019, 299702027, 106010536, 935172248, 331079826, 492347779, 40040345, 716936252, 640227952, 96627353, 256340765, 6583701, 369542674, 357243654, 915773087, 653824993, 177844124, 812945361, 1062614504, 327192472, 532296045, 796163127, 984009433, 462941662, 483845392, 329563239, 1034253337, 386051247, 797339518, 673354364, 770311302, 544581649, 954788612, 219453043, 1017619149, 195787896, 74645327, 599007109, 832000000, 701277365, 720042510, 606547266, 377030032, 16755932, 72026919, 9303448, 350957623, 973856425, 503013227, 409521789, 836815377, 232112763, 165686932, 652400655, 710062818, 785084769, 1018762161, 503615712, 29410896, 29192607, 145932995, 456579240, 527392341, 777741972, 819128501, 364070127, 130908506, 19278434, 889155101, 467089997, 617291867, 1057671884, 439783345, 540438434, 281073574, 322287457, 750958122, 247148841, 457015487, 609915904, 492190795, 695996655, 624506967, 581248866, 854568264, 819206024, 844098838, 1047938861, 363271068, 461102373, 70900836, 581840673, 911805574, 910906639, 299453703, 82371831, 981682700, 248110392, 105627306, 708925763, 333452172, 173442905, 654519770, 788006893, 1040131312, 412335113, 831258209, 539045104, 163677597, 934496179, 596832918, 969907612, 560044426, 572848680, 73773830, 524665660, 347928877, 152099897, 331489582, 218245657, 288365074, 41248905, 961633218, 555567603, 36370320, 771909919, 549702199, 8042846, 978579782, 438996115, 176555715, 398617329, 594263922, 872744826, 43557576, 43291369, 656330404, 328212183, 32150193, 309946642, 220857866, 627552202, 679231973, 425805582, 965659905, 128266146, 520101242, 740594883, 967061798, 706179244, 278641603, 50713522, 981014926, 301732277, 347947197, 721560210, 1072548536, 597820071, 100385601, 336423164, 201790812, 292221305, 497225673, 110787670, 755828125, 124292890, 114107343, 453988037, 441203935, 905104721, 803168384, 855918595, 758450537, 873724572, 1009062269, 76354122, 195006151, 745531213, 341763206, 396967577, 258086725, 118627074, 691088136, 769680672, 21491446, 498216551, 265050633, 976514677, 398301600, 281194227, 346337597, 706886325, 653840029, 748805705, 502101388, 118136298, 286663238, 548367438, 438601149, 793330242, 276286108, 604719828, 669736542, 355985996, 29195739, 721608436, 860297611, 1032646050, 623609778, 421897919, 514341384, 236720384, 310016823, 128144955, 18482833, 703970681, 894187472, 161121192, 765418507, 117883884, 823471940, 202838302, 309575755, 626043437, 141718126, 447964041, 1028556392, 963332586, 1028874138, 71781938, 176385246, 501730833, 661658911, 1026681709, 81532382, 954136905, 286716190, 442286008, 12197831, 415180673, 693480425, 969725912, 477885478, 757409474, 199148741, 158788301, 411022427, 716993056, 344371341, 59234952, 660688678, 329479866, 982624266, 345499664, 12867413, 299505616, 996125216, 131950354, 1029775496, 998840076, 873292051, 108414201, 283468662, 286157811, 670979922, 391521294, 337063658, 905539177, 357706027, 185831883, 58052829, 699331433, 848906595, 82033905, 593976714, 563170395, 101763244, 596209495, 714888342, 218370191, 953753245, 337250766, 114793899, 566155093, 268284563, 671043348, 548659888, 165523993, 722271189, 52106939, 4898361, 715710400, 555455892, 106009415, 616684292, 601209512, 602423879, 387072662, 554447903, 733623209, 339832427, 755579497, 7345601, 931949544, 29784797, 826733170, 761608838, 422968713, 703187983, 761533632, 417369316, 103574634, 339241956, 382887687, 657533676, 702011657, 503111745, 2125766, 378659568, 34072915, 399008963, 1043466587, 139936360, 1021358374, 648866186, 171369905, 1069061234, 242429923, 440743715, 214098964, 179411401, 781194630, 833057835, 1019305934, 547594712, 793853754, 869727780, 370275391, 1047565129, 111157241, 741378823, 476022804, 954865291, 839015999, 358671311, 304245710, 1042120719, 841150719, 34321130, 687540323, 126680818, 159752121, 421357208, 301937677, 249928701, 930252301, 798104201, 78342294, 177315265, 169325205, 1037450754, 33904909, 413177201, 422366573, 90056507, 759204045, 468310517, 376509544, 101570307, 502271036, 1001692051, 927650210, 20741710, 904687118, 410919834, 470758757, 699695386, 582425943, 56265453, 710254277, 25354295, 861847931, 367523691, 501783007, 113130396, 73361070, 580689396, 867984287, 755267864, 644345949, 170867188, 452608095, 486776122, 865325289, 104896217, 354839285, 893744036, 452823931, 11036383, 261684034, 126811942, 456142763, 970306494, 708099723, 162739184, 841326082, 337896125, 130379407, 828629596, 1025146097, 295443731, 879422288, 768831447, 568082484, 137794596, 663180508, 770999614, 285871589, 955280645, 228826134, 50153427, 544849042, 511409291, 983149636, 151067935, 1058784902, 636057215, 914630164, 679817771, 975208724, 158296135, 72082424, 101389322, 5351682, 321965218, 852940965, 141399174, 668616097, 188611795, 236498868, 878867521, 909448356, 765055331, 313626042, 283190415, 362714204, 11117471, 495325409, 347501324, 377669184, 633523355, 77103577, 1014956277, 360470297, 470070573, 226390450, 869753714, 692176633, 518881223, 410982755, 408791051, 22934735, 70734939, 297230394, 820743748, 323034894, 801981477, 196806828, 75028273, 982167116, 1019699882, 215860824, 520050966, 912572720, 32429843, 970435984, 827435284, 779466976, 153961969, 1042417436, 225836788, 408596912, 518995720, 942494410, 315987650, 667231128, 559096497, 941917643, 564220061, 275751855, 646215818, 44329995, 469695341, 144317957, 883128891, 1071111786, 1040835818, 555776053, 153761942, 406765744, 816832944, 461876264, 2556698, 1028342197, 105347956, 28043035, 1012547327, 379481915, 918505136, 559893939, 1035954367, 414927387, 780141312, 971076503, 791968032, 333083861, 108309347, 442497822, 890491264, 697993858, 575995092, 531035917, 324194247, 122097995, 671978585, 974816191, 505487277, 1066902054, 393355909, 973769891, 818700867, 326997301, 726428769, 558021374, 350029093, 492684820, 337510973, 600574641, 696648929, 459569056, 62564544, 431034866, 1039328215, 768860351, 704421421, 299117342, 597961416, 393074926, 157695907, 45599299, 978597925, 223336463, 559473329, 170839235, 320628380, 1012509907, 900210735, 616900847, 814050696, 747283483, 539052105, 346154328, 212757599, 429341772, 704311084, 461313063, 676842697, 31121903, 577492969, 593730673, 1062746704, 46302456, 309035391, 908926124, 673303, 669505523, 459976436, 23714588, 639723047, 94899351, 662782752, 928414986, 454649957, 441233728, 1024787380, 592515384, 504342774, 425203816, 300796699, 355557001, 67745150, 1072143086, 28873497, 773775745, 680641306, 6987749, 776909616, 819192703, 80033124, 1065222877, 541906014, 364603665, 526095797, 575551843, 617294402, 915484862, 331930257, 200714693, 643054013, 20608903, 898644587, 347038872, 474666744, 634511535, 62913344, 992671731, 739518768, 258893976, 961434164, 953216334, 135783516, 888694464, 29858826, 951617362, 846736634, 172802038, 249022769, 587432215, 536386725, 160589300, 534695360, 405706516, 59367260, 434858819, 175046387, 934167479, 103597593, 404198256, 571885907, 737844846, 826260589, 1017445711, 84479922, 480845036, 835027494, 631202737, 870652920, 948321989, 281131825, 908263678, 282305754, 804134622, 189877688, 268065316, 518228044, 344537945, 976575486, 151656671, 767860943, 906572954, 521258408, 749798186, 424995873, 272648753, 86160539, 879219022, 62126960, 512036442, 118518882, 403782950, 687813589, 156604672, 15465354, 786491647, 998411562, 1024105372, 810691259, 327471545, 235727438, 37217870, 743579837, 451091168, 315808867, 654036394, 259888530, 682974611, 386638283, 690482842, 528098089, 143120008, 956981724, 663437753, 573094350, 1031552205, 388228789, 140526787, 737564297, 182875104, 640641329, 963017398, 572656694, 917050090, 602491162, 223145233, 438230006, 612465388, 1017139465, 226373216, 661794672, 133358077, 164783777, 501742182, 930951198, 123226390, 433032039, 1024684535, 295152710, 39609008, 769859910, 690568400, 833338910, 821533768, 259614790, 885283439, 731653174, 489632335, 820965385, 1005816615, 563314616, 360780786, 752719159, 488455473, 823764713, 1016038392, 894560054, 606686731, 670600564, 1056694594, 853902719, 1037986066, 915046540, 22830911, 334919489, 652838384, 542719838, 953976095, 971281971, 348706895, 771790529, 324523301, 497830514, 677335792, 850002800, 178121519, 542180408, 346178149, 910771807, 483882965, 425455006, 955063462, 1021040395, 795287378, 122852409, 1015047156, 170763796, 1018538558, 471862411, 929565925, 135631999, 662415228, 849049642, 970694264, 675139897, 585533408, 709106885, 948824826, 385715338, 973120693, 158449883, 1070719645, 982471530, 910105976, 863332407, 325212721, 788408308, 576532362, 381314375, 150266199, 327417693, 264373773, 713666427, 888714315, 837085839, 573664597, 877514399, 713675244, 575320350, 634595662, 815718512, 487511720, 1040065357, 311683593, 406340823, 104470469, 1020937562, 401842134, 267897409, 669805210, 739578420, 795964846, 112082768, 786462678, 905656693, 106178546, 30935865, 618329660, 930058220, 619364155, 230067089, 981379029, 656947680, 1050541880, 559049976, 610078151, 14619389, 630149041, 630091780, 870221795, 206211327, 849391280, 1015445202, 488477545, 876024405, 204413279, 938888036, 820253875, 350037678, 340766668, 383733529, 870526638, 802554856, 804073867, 49414601, 587887664, 395445149, 151991290, 853656146, 1071305600, 113318219, 386440480, 324183764, 40704931, 110115568, 986140998, 39129464, 806857137, 450902670, 302444188, 18822944, 750480688, 66517782, 589204874, 506333803, 496358109, 535881154, 234757857, 469814633, 374693676, 607888402, 566134130, 675746924, 960786217, 918985875, 893614476, 646136185, 80454785, 478957639, 296078279, 720966626, 914397993, 46787070, 218519926, 621926872, 662618574, 954867410, 125026369, 97607285, 220986960, 140965110, 156860719, 476707934, 707692287, 526935623, 524102104, 460666522, 473329717, 448503099, 138302629, 852558422, 87939031, 793550304, 516644650, 589952734, 1064245655, 961652616, 812704852, 745082304, 1033226661, 687795315, 360844935, 228028719, 392126717, 493613659, 476890295, 810939116, 622520259, 823859202, 738737868, 827746751, 367580465, 292166854, 1022164729, 462246008, 702342116, 932832078, 299450967, 336273229, 909456404, 782379408, 332738944, 550679393, 155605175, 959379484, 238146711, 359866276, 662865050, 322558099, 714864253, 855145546, 79306089, 588139395, 857390700, 983917686, 451511446, 915611990, 363386999, 239298935, 778754031, 648572911, 771357315, 241930588, 127719955, 1063728267, 7486189, 751321811, 558414274, 886685639, 478354867, 1009838486, 1039066098, 895487058, 35115808, 726327110, 796043034, 606197307, 211200830, 492463801, 662817506, 560184437, 789980409, 603838657, 432734129, 726081001, 947212882, 706108906, 107183653, 84144556, 664344290, 300080885, 1053351988, 156815239, 585948864, 984739822, 138548749, 101209673, 670237783, 575878015, 106382955, 1047712906, 841126618, 446864871, 490635295, 681184205, 1013605220, 801750072, 4908866, 744559138, 670942449, 563124690, 640706259, 616409979, 250615680, 425004158, 591954761, 967570379, 135178056, 1010898289, 1020613120, 950953877, 930575067, 528491274, 712941274, 464382775, 201416490, 76543772, 419343381, 282257313, 186603786, 929025948, 741742574, 1721900, 508928585, 725892952, 958354088, 345577265, 730839920, 550666328, 112263389, 573678216, 197583573, 166075011, 448828088, 600987294, 768016490, 227350307, 323268992, 226534154, 457454216, 519445503, 672862093, 521396701, 981832189, 370666212, 996247097, 794996189, 203779138, 450069014, 522750364, 984487328, 792568144, 273084959, 752120573, 146825119, 367870115, 210834858, 1004839130, 347880810, 764539029, 839417110, 542311882, 583527822, 802126325, 61656445, 322125938, 896573608, 327977295, 592317522, 266238286, 822096106, 460174300, 701688420, 421402716, 777011189, 497234107, 1032262347, 993349316, 310071741, 613986645, 678097357, 99541278, 130743390, 276236716, 707224664, 392377735, 1043135741, 787591061, 163822967, 46886442, 798469990, 870269197, 34065908, 447798374, 79139496, 89456791, 921133874, 123070659, 61311311, 258289432, 299291020, 234558621, 412621347, 1033526713, 55858559, 693143662, 657547313, 682256765, 816318149, 478743624, 735345413, 754391849, 366557459, 586543713, 98125627, 710739652, 1009916116, 936658937, 192891452, 25262552, 16560633, 425997957, 615756032, 904723267, 268633556, 748990423, 624255730, 898486872, 654720400, 905327144, 265744134, 974347728, 789804901, 13344568, 340723123, 417873429, 501921680, 727494905, 1037835214, 636439531, 562792797, 863037849, 844009330, 991886370, 900585836, 565679332, 1004488786, 549363169, 201643177, 237807755, 157908835, 132256978, 833913350, 252636010, 1009368807, 257226980, 906634891, 440850029, 996597710, 428891158, 637026846, 66177980, 187905785, 750470952, 154115113, 696818452, 619013898, 436815361, 90099627, 1021983048, 29343050, 461597463, 707548460, 810576619, 685334201, 804978670, 978817964, 986741369, 308916143, 392762556, 1007613248, 496272033, 505267320, 884107141, 276465399, 945520128, 176705054, 60727116, 197617852, 118279854, 384889912, 69393957, 707634858, 230746326, 187634798, 743393110, 393810004, 484561369, 763874200, 237080215, 608537227, 636078702, 459863933, 664170792, 657773408, 106524938, 621820201, 601739393, 972882651, 253935615, 751488832, 577087158, 613831036, 895432270, 716926173, 695103459, 272961375, 945767478, 409023345, 811800015, 229474288, 693409565, 150408806, 706414844, 1045532310, 725034210, 501009799, 171198859, 966586544, 57448209, 166933648, 411863685, 405932753, 130638823, 1069529085, 557614815, 766560762, 718597869, 361684576, 161669365, 444110187, 865980953, 863482376, 763040963, 818660518, 387183895, 520989845, 446490712, 285978053, 147641156, 107067517, 817304979, 197926191, 151929870, 851434537, 190103123, 592380975, 19447748, 676545194, 877252972, 5047709, 507482115, 927428758, 999340822, 607986450, 178232498, 931467746, 650943783, 559874160, 981800639, 709302515, 432759954, 1032061990, 162565954, 680300029, 680995936, 448329726, 328076849, 380735099, 776571446, 1025338120, 674673965, 313000159, 771562552, 679884904, 867178872, 417028991, 769737822, 676115890, 744241268, 403486545, 386742614, 345658948, 920810607, 393473534, 868116770, 721897822, 220602611, 502693048, 990280339, 576316169, 600918275, 854832356, 46676231, 209382374, 302419223, 786534413, 968808935, 118116160, 494754829, 704767385, 112416500, 126430875, 979840860, 848283967, 757858222, 790280443, 456885299, 343228877, 791507619, 511613232, 809111846, 36162918, 194996189, 585865961, 12990542, 150084121, 427448684, 77958891, 910856425, 491951728, 1054271643, 291018579, 487012964, 767328295, 608348601, 624901557, 482039540, 350065694, 997143181, 90863924, 529489012, 1013307358, 733821667, 200653832, 223770742, 1067436062, 988733945, 1049191370, 996775185, 306213894, 766071072, 1036645548, 327304625, 915715522, 295694118, 284343440, 860674051, 172112009, 277066318, 339861498, 627355191, 446498069, 979158003, 808079929, 755124840, 609747969, 921590025, 505399735, 469295309, 632271865, 507298357, 376533293, 98375333, 777901385, 919467654, 70946790, 1030572943, 288093111, 465507752, 1037705060, 823979082, 501591233, 483143205, 646164179, 388146399, 436711986, 557233925, 1039439527, 832247603, 363221717, 117266843, 280278792, 24456073, 403997259, 782061531, 535430980, 896286207, 862126965, 446529270, 40394043, 746634932, 88278530, 515605637, 543838940, 917191486, 214165632, 348274253, 816938344, 74698789, 74594768, 918314852, 209669604, 740353688, 452207581, 628390482, 868304201, 80134981, 808879441, 153853293, 919448707, 589564123, 712925484, 831710760, 1065261824, 271584920, 387139167, 213860842, 7850059, 1062885590, 695644767, 797529291, 548153842, 601225133, 1063742655, 436871115, 1045292427, 432632670, 685728498, 834125670, 814654963, 138083526, 1072947327, 88307395, 838255466, 159344446, 843264733, 160468786, 540901147, 996504564, 272309718, 390748860, 276736041, 12508377, 729688461, 119930949, 357810764, 591146016, 719511598, 677022080, 478332465, 943514633, 193095115, 635622541, 164043302, 987788704, 236996389, 855388106, 878364031, 1028264055, 877768988, 43928097, 441517434, 592460080, 472127005, 1033200033, 887034956, 880432073, 1003109907, 1054393122, 664325321, 838448211, 789875064, 290795943, 892341812, 405850046, 224282940, 309893806, 432206703, 458862246, 734678013, 374908134, 811410622, 249573978, 64265522, 41179063, 109224715, 318936743, 510577517, 931076917, 172629452, 742447551, 1053390675, 89001296, 905267984, 632996084, 786475063, 822698092, 734492906, 80155357, 905830301, 267356223, 902843964, 132102763, 1064093711, 579274399, 323892418, 617004226, 46316618, 795466555, 18588309, 475320871, 86672824, 639174314, 752944378, 353392713, 143652988, 1063019650, 867861413, 73041315, 314508223, 272829660, 388351117, 209086563, 401952131, 990108431, 7504577, 257547141, 747951778, 544965446, 98551800, 513258287, 613823812, 120001524, 741749088, 482103991, 272673477, 738534571, 692050585, 583497878, 515070833, 79063895, 23279453, 715928386, 702689363, 205792466, 690808939, 526371079, 96953519, 191478853, 886338887, 764665553, 550411261, 538154069, 288816665, 623369250, 355096571, 754770343, 972230457, 767232225, 1053764346, 761351686, 50790773, 162056116, 858211213, 792533549, 412978946, 623048847, 108709016, 328709080, 176051524, 525848058, 423359679, 860328772, 514805795, 484754047, 1057234653, 654763442, 291977859, 882457930, 459129301, 366483620, 1008393847, 766359178, 261360102, 30648614, 1008322587, 666863988, 664560518, 621632896, 511310219, 1008414787, 539865288, 233916103, 895186632, 471521112, 115295575, 479880443, 725274198, 960471061, 516402594, 578498277, 530469546, 780222133, 1019124883, 209961334, 856545411, 181348422, 694081415, 715115289, 1031956793, 183663400, 1027294834, 688655077, 449887660, 1001524190, 905614134, 282901593, 885291355, 1070158854, 494927487, 155199365, 1061078540, 260532801, 484894485, 506852050, 397396709, 142673680, 383264978, 1039729469, 760965508, 496617751, 905449211, 794091468, 639418451, 806293170, 129056641, 873687051, 228506786, 392328415, 431285312, 130215897, 481433240, 114356416, 639525888, 1035802583, 123226175, 801438925, 370856639, 879142121, 489963669, 648685550, 265617883, 320689950, 419031147, 295536103, 271795270, 6298753, 4634453, 934881631, 286269505, 464240846, 192704372, 500013295, 61757750, 334892718, 159688605, 917132744, 652166315, 382753672, 597500909, 813723185, 828961884, 983737067, 883140703, 837461155, 630138756, 10399121, 609279947, 894511506, 910353469, 524239316, 441675206, 1025927232, 1013442694, 770008311, 363054756, 986964801, 940303271, 225355282, 870243883, 359659559, 657980387, 757561108, 785517905, 433292041, 278898244, 368126281, 828768597, 530344509, 647706837, 861045906, 760290974, 717332779, 928146095, 776264983, 1068318992, 389234236, 109697080, 887826513, 5171126, 727352197, 678615377, 921348161, 1010832207, 199799791, 607540468, 761157620, 308780769, 208215080, 404074637, 263166859, 140140229, 99648753, 1052844543, 775103543, 457840155, 606170780, 833256411, 887206963, 498772820, 598689840, 279285433, 237079246, 800912205, 336193180, 372646738, 474744192, 646714716, 1047825894, 276913513, 994303925, 522029534, 839130294, 1067580398, 679607211, 548648313, 78943230, 737204811, 581768171, 1058947865, 638347612, 299983794, 183391395, 772042071, 983353143, 1058204244, 60974397, 904393299, 63195649, 223212789, 859073285, 766941102, 916225247, 54666028, 295881744, 403160144, 258931801, 375742535, 459661149, 521360908, 1021893840, 407522237, 1057919114, 932267595, 876521071, 939425768, 1005085677, 1006574679, 46055940, 630241590, 971109636, 220960334, 517417155, 252440936, 353728500, 4571690, 868142910, 203005070, 790902901, 134080464, 256242442, 57161287, 1022918588, 189097651, 402365549, 687969138, 791184065, 167641168, 23256173, 1038349258, 275152048, 203703533, 699366249, 928216992, 23482684, 571875277, 132685468, 176265472, 659342923, 1036108685, 833329202, 308958237, 614888933, 552789165, 558133136, 273419229, 547050271, 684527182, 802887057, 941026516, 57243001, 62695762, 779142059, 976532520, 59250825, 80388966, 474648621, 576216174, 163181883, 766496793, 366655486, 307483189, 923461022, 505758364, 471633504, 343944931, 527948753, 894397749, 533310999, 1042659625, 1034470680, 899811579, 11097800, 208883604, 781928076, 907762261, 911212082, 1022410034, 7446641, 842116254, 740156375, 8060832, 1050073935, 541204730, 602991477, 667006677, 118584809, 258918156, 914285395, 158588398, 957547541, 507617923, 610537124, 186238733, 435351142, 743516325, 326080566, 474834159, 468539003, 85872501, 1022152409, 381159623, 704282418, 3468801, 528647076, 333414789, 352550832, 186846731, 90536131, 418157380, 228281637, 576660506, 387614403, 117069247, 1068809979, 155301218, 379317714, 394854748, 246345183, 573965172, 467797143, 687343157, 1029830892, 245031576, 773661823, 248526742, 204281942, 703657765, 216634567, 48218509, 753530473, 774087954, 751729098, 510428963, 308268586, 422052367, 598629526, 499140844, 164983429, 480507651, 820382151, 859852626, 297293687, 754706189, 41533741, 222181618, 125721978, 35504332, 555005918, 243218510, 249583230, 36164326, 367997786, 186466498, 402010719, 512918952, 346020849, 487057808, 325896854, 821847728, 1000674745, 473999000, 152591064, 740618908, 887846639, 416290611, 401649009, 372925466, 163479654, 1023671155, 737495075, 1053263722, 246376005, 140448516, 436990207, 811996323, 587446929, 1990008, 594844024, 416842526, 1058953258, 642241192, 147378349, 378529934, 898144698, 632229021, 946035994, 9519469, 686550055, 531637559, 376816291, 258987915, 482889901, 162123633, 553776294, 1053205186, 89133751, 40308365, 988783279, 769148502, 351504928, 911314852, 889302896, 55317511, 382808320, 72323899, 268774852, 440050719, 1023812279, 508929241, 49043953, 797207845, 375163688, 642034986, 535500449, 1038133692, 306431366, 270907395, 363126376, 619893281, 459517036, 942132656, 819574546, 964238574, 155763565, 375493166, 489144684, 117296029, 702950366, 60846331, 415567254, 1016793050, 161056480, 399900683, 469768578, 731728738, 293887892, 472593515, 118687622, 709626146, 731716347, 107462931, 317184333, 133733138, 888161705, 1063955464, 225130430, 279282937, 458901011, 609869690, 445098685, 751811163, 33817852, 481744280, 124040091, 433130356, 516743615, 28972670, 688565749, 406183048, 18682584, 505473207, 65826526, 1031090111, 658701813, 1027060042, 320784880, 100305144, 119927809, 774460477, 683773434, 820762120, 447364236, 85607457, 314344949, 342022945, 256394866, 1044243253, 613183026, 1042465673, 121104622, 425245399, 303068470, 411788072, 59002988, 613844889, 51658640, 434442351, 184471558, 149800375, 779395125, 685232189, 64707164, 303050954, 174726766, 247938570, 112060974, 899461680, 914791597, 568103388, 311149238, 762248997, 1042584707, 492138471, 529552395, 556322113, 951651126, 343244099, 87837348, 97157287, 702383725, 722362068, 524524784, 848658392, 806306751, 561078197, 410322112, 231152983, 11417478, 416974025, 480213613, 150489349, 772736282, 893096274, 503738008, 239746261, 271608087, 377104888, 877968743, 61729860, 867842632, 772111059, 983141822, 288525779, 848196576, 197372113, 186761648, 338339624, 942287615, 672926115, 987526501, 623603180, 105049638, 878301398, 886783067, 296284132, 212122475, 278663437, 875043838, 314404741, 750899857, 955455174, 357558939, 251880908, 529091295, 294292933, 471433868, 121040628, 576132299, 70440118, 450882804, 584712110, 463086761, 864717654, 742626793, 708387348, 406528310, 376774275, 1014730920, 707189546, 790297098, 1072768294, 946108315, 371676859, 143302466, 861813617, 680937547, 977984570, 925468826, 713982746, 90368996, 817499032, 45803900, 341407315, 316638393, 829015456, 554823612, 733721537, 532863231, 291120829, 26026286, 160238766, 714388637, 716686609, 130918711, 1024180508, 225394111, 439429632, 281336442, 1018926402, 1054067815, 807144843, 588485653, 957479116, 491691522, 288386647, 976225814, 443832886, 309571898, 732327338, 987206032, 193162903, 626962610, 573825036, 416332319, 298170211, 840045410, 557466047, 267194663, 1055995646, 561217983, 489381444, 962954279, 500325137, 292934756, 201724097, 806252413, 180391432, 856203575, 840515682, 681766501, 500099150, 891242316, 966709823, 414411493, 1017485256, 393438065, 864887641, 31403132, 816498806, 342757489, 255297437, 53656141, 178090639, 713223749, 460874639, 370109958, 176897795, 705590450, 917099464, 402149809, 793017591, 830091043, 930536297, 513155499, 192962623, 591835805, 341044961, 695187986, 939184320, 616853214, 807445453, 289018449, 737796353, 743602976, 438426015, 814079984, 985298776, 708445262, 250244141, 397496447, 912822669, 890944132, 306478435, 31731115, 356598337, 669715790, 580156694, 635918723, 346056956, 565079790, 508665237, 954209311, 206173094, 1023826391, 715177426, 824799907, 69781031, 779909576, 430748359, 639325997, 155075594, 1043924369, 4644670, 364770758, 94329919, 362739286, 520090144, 760639182, 540176996, 969483271, 480058715, 538985933, 426111175, 1062908303, 733498856, 88989079, 604641864, 76036992, 51474524, 150785704, 494937525, 463528537, 891815066, 668499602, 697620333, 314244419, 813151288, 999214371, 772361100, 301523608, 361955735, 331872523, 754861189, 388249387, 969015863, 1038157395, 21985184, 182338283, 776545770, 1028459863, 342839214, 9078109, 524329137, 631854056, 550598252, 113475066, 22068411, 465784136, 153382808, 645036688, 877307126, 926837683, 48074558, 620392464, 639495621, 277712325, 965394453, 71400690, 132791295, 508401018, 126014141, 444939170, 832644688, 1059655894, 389741294, 941013237, 131402999, 1047576150, 1000093739, 42570128, 727103892, 728213706, 984468117, 786279827, 135823022, 1039565781, 675162612, 934124776, 120896825, 436122834, 134120276, 544703912, 52831709, 968403533, 241894189, 680196457, 865265542, 930528279, 771965365, 641973185, 909016602, 817140312, 123986184, 900698074, 90122095, 361411748, 80538949, 946757322, 610922916, 391170142, 880301106, 278226293, 437521739, 415503033, 187609044, 460163952, 555726855, 871187936, 176227990, 1060185416, 118014703, 507432500, 382450836, 7471429, 144568573, 471248777, 650833512, 884691771, 256157146, 833787785, 420622195, 96853955, 263208333, 842884652, 960297052, 697310193, 6252403, 1000026673, 385889392, 74176605, 797954628, 748482435, 1066467579, 662535446, 216363938, 361500436, 482555540, 100122314, 490037797, 156328986, 102582619, 111439, 1057158153, 449813446, 712544686, 532315208, 240254807, 735611695, 155743896, 19827070, 631739725, 816033574, 326725241, 166424740, 920226149, 177718405, 439387622, 373019109, 1044480592, 915841951, 845813479, 84324316, 989167241, 414784063, 472559777, 1060506175, 566679918, 1032957753, 939282906, 310727655, 859753352, 959075970, 128621701, 916708337, 292618542, 290482205, 109746113, 341756957, 618603282, 438807309, 490369941, 624255673, 556873667, 676179339, 317219910, 255686514, 1002208678, 564053833, 916646325, 514280790, 99452351, 599768475, 1073139063, 597869069, 1034955574, 491739101, 447009372, 340672810, 300715868, 120457593, 812143437, 254166816, 963675164, 754228643, 225148093, 634372105, 965097797, 293771705, 645513186, 80216890, 703767122, 748321057, 211439475, 67329518, 666724685, 96471855, 330153296, 217959604, 63992873, 36116176, 266551809, 1065274561, 809110076, 580971989, 933949184, 264149371, 32877688, 566784100, 601177661, 734072944, 934323147, 705515306, 1050031576, 375620987, 406921696, 79726619, 425258299, 890285768, 644053856, 844350186, 828597959, 872871895, 87922107, 388901246, 358742451, 165464778, 225722708, 196248673, 417423190, 546935267, 308711260, 282309272, 241178229, 628469828, 141878924, 636685914, 309078920, 270486094, 60379615, 371711379, 545207379, 443080745, 1452669, 858553769, 519106148, 764621134, 1010996595, 947349162, 243213531, 177484304, 454220870, 282534712, 235181306, 796263, 1043914924, 123220826, 448117315, 116545008, 703166770, 620389688, 238674790, 148309174, 63203492, 99337081, 497537788, 716798686, 283000377, 40444342, 1012208934, 334140749, 87680602, 611518218, 529423782, 624788505, 956958355, 777488650, 457121101, 1018428181, 295083500, 306296095, 577856496, 226470407, 362223136, 779797639, 864829485, 1029428835, 299412755, 473455336, 238373045, 442211696, 236000600, 899298793, 421173762, 406490485, 314404166, 97132407, 510485709, 872329087, 87198612, 281519397, 643186649, 237269132, 384505171, 536051089, 323837120, 793056831, 1057250735, 761734658, 491901982, 110151672, 827052766, 743485812, 829024585, 427660980, 722427554, 944898719, 110786593, 395628785, 551437395, 782892944, 145853241, 302777491, 459715365, 777504364, 721921729, 51729788, 221094032, 179791467, 110812056, 485542194, 775108145, 222872553, 45224742, 835029461, 805489428, 569405083, 609188558, 770819573, 146626707, 598603228, 188795961, 26809670, 329116119, 427674842, 13540707, 588352132, 301308251, 55399283, 1040961896, 829071363, 26416501, 149846674, 734103076, 442084668, 316796636, 383754641, 613033660, 623232328, 402420456, 481958815, 411527836, 498288044, 302836768, 759499385, 122529668, 790619155, 424275655, 539108002, 28355995, 1014694971, 404439232, 974951286, 517866677, 324179123, 894034908, 336341825, 484020736, 494240810, 646916961, 858053343, 859938428, 79361731, 956766251, 249302483, 344325919, 331989736, 235796874, 903427661, 916237238, 892085222, 1031848855, 741539985, 1024952392, 259465120, 444212566, 343351902, 1045770856, 768403840, 1023369564, 93575309, 509396467, 467961882, 429765921, 248847874, 249060119, 457739769, 921586664, 124781755, 1031713129, 833570274, 938779438, 466844655, 842578111, 321896274, 535627834, 1027977098, 780638832, 481244464, 776579903, 909874322, 123732036, 464384349, 3311042, 282228779, 569625390, 904098640, 1051840626, 1013233026, 590315582, 896563209, 103197003, 270517325, 1052691738, 697749708, 553887433, 86997413, 483239851, 973920988, 155540606, 102663857, 144318793, 777072921, 263888603, 471584076, 331958659, 275863732, 235904790, 930773741, 569555268, 130874968, 883724076, 120436289, 76356699, 531523470, 84249213, 629194791, 58760878, 429393658, 573750629, 174801966, 518847810, 446683469, 146649631, 188376581, 313883881, 344641256, 220854531, 713347766, 305460190, 61871106, 117593635, 693183901, 24676070, 510240800, 697702791, 421608203, 223101528, 736745126, 354325795, 307096242, 163089440, 919249597, 806951485, 269391385, 292741378, 776500855, 633093042, 944413318, 33434571, 183243494, 39514675, 896126639, 696938654, 574129360, 40490686, 122153213, 226241469, 533960256, 109492756, 155716303, 651954339, 757022689, 260609154, 283917932, 397217689, 835735597, 1050783218, 91149671, 498013533, 222426871, 326402544, 891420434, 763528155, 386432655, 248418950, 575860253, 1061991667, 911145941, 253855684, 29423296, 225617044, 704526401, 274459877, 185158666, 1064920037, 47273587, 665324698, 346766305, 301035840, 1052919484, 374948689, 363595057, 994743862, 97631962, 412671315, 287614706, 431756285, 484095541, 55161485, 215504007, 1058099390, 894009496, 304927428, 168111370, 60961729, 920121050, 862960707, 496147506, 331141023, 963485644, 282668520, 644676478, 780698357, 1007859288, 343226323, 544582486, 653311569, 430789686, 883887879, 893331939, 588849532, 535338943, 815889534, 120564051, 469546451, 988648445, 221650846, 148158418, 658209546, 929485894, 841591641, 934803852, 253377586, 902040767, 830601909, 601419356, 428635795, 1051849438, 51248849, 190893562, 737100556, 891761302, 1048553738, 914832694, 539429834, 605949403, 691191763, 882364633, 237036264, 943459155, 201446610, 815623811, 686988237, 996301640, 280423056, 176985469, 223991551, 134427995, 826743956, 415777817, 898054438, 1046205477, 836417019, 588849468, 504189312, 62349367, 1065357180, 981016801, 511385844, 51817840, 445103173, 974733458, 767266364, 642195879, 549435285, 978213420, 398611990, 230579911, 503339878, 334915761, 173257828, 600860732, 906967848, 277672600, 688428123, 733063345, 196058999, 511235547, 493633909, 949957670, 385104012, 772222826, 362081153, 180866316, 666752455, 337366604, 720384323, 315640499, 761490599, 300309267, 872851545, 1017947240, 1030746984, 1068332534, 566422639, 346557308, 328541113, 779475344, 15791308, 995710415, 332437580, 1033838832, 976495596, 37096544, 296911752, 92853745, 886058935, 97770279, 890084759, 801792032, 40865010, 152570495, 367798454, 610285114, 277214614, 276830574, 571951947, 446438551, 450013985, 833598545, 1046172299, 788608031, 425179942, 295644609, 1019921871, 231828600, 549175039, 507606079, 334582297, 118075874, 864373253, 157988983, 80921071, 961964039, 218237892, 466380221, 718335070, 823104147, 794308761, 138136068, 918483619, 390182600, 281136475, 303789521, 1028330497, 359802146, 866042924, 615567751, 442386635, 318993457, 85211979, 315317532, 98039759, 520073293, 216065036, 321167234, 729016040, 5551212, 656754944, 276011619, 673676549, 601027674, 917333557, 1020301309, 606558011, 774185446, 991727863, 419207648, 285475877, 418813382, 696434429, 628013001, 1051542427, 298442029, 68502670, 308775896, 649397011, 1020869805, 50274328, 625971171, 531098440, 673453834, 227581047, 409433632, 119304603, 78753940, 824186660, 179925888, 993896011, 28693175, 14099493, 207663728, 535143765, 875181061, 248245870, 213030847, 554111788, 844673547, 946526697, 286588549, 6064262, 637792587, 1049122467, 327450242, 756218376, 207242920, 85997322, 340024561, 675812459, 724499108, 300344197, 862670673, 864769153, 342269257, 330748175, 923045999, 327204566, 82413781, 613947307, 137138952, 313405285, 280977153, 912149570, 367752131, 621482310, 218716113, 306524692, 247832751, 657187650, 6656292, 388139380, 850795866, 474656549, 68212106, 658982830, 603671292, 919444475, 868085796, 595717629, 652916236, 824696107, 304493009, 683869256, 630132358, 952720730, 912088472, 107243635, 56524841, 680031631, 822457759, 471716810, 805976327, 346246545, 283942547, 46318839, 202827464, 966424154, 1027144994, 253548950, 694160937, 94780647, 104454611, 405104410, 1359063, 267066387, 824351407, 456576210, 1066134388, 381975281, 622728579, 666540079, 411895162, 510317106, 675898284, 664664724, 652866342, 455603307, 796021855, 990179720, 718170241, 81154538, 443387089, 76921169, 839493075, 696200006, 351631678, 284666972, 328011585, 350402070, 354258550, 57467336, 608030281, 944519307, 555812939, 568222401, 497067217, 1052560587, 515516242, 459181631, 639266956, 1059762769, 811523026, 727357754, 245041538, 155969607, 82401323, 559611444, 164236182, 483057662, 430453117, 636265536, 245159332, 935322470, 131898374, 1015643970, 834081883, 1052636932, 414494235, 311179227, 1040714057, 20651391, 258306764, 319647294, 854919632, 576962430, 130238415, 194281502, 646785291, 758654395, 651830192, 314352941, 729920836, 591879635, 297889100, 110328381, 172801672, 545975985, 771830445, 548741545, 675679324, 786476765, 855647264, 786325450, 156668627, 543658708, 737935580, 986969103, 766387455, 958798200, 18306129, 606821522, 307321103, 114475543, 125154221, 685096081, 720691308, 988585710, 414028368, 543649085, 734912341, 1039351719, 605472245, 312145841, 489710738, 668186776, 817823198, 149825133, 102958944, 243756273, 212547088, 743540955, 45441719, 675425320, 162344489, 933002459, 595141682, 821094023, 162100370, 745746129, 838433516, 259833394, 343765144, 344738398, 187902511, 782651615, 868705247, 254241378, 140129314, 315033787, 435308888, 387726054, 840254274, 995017115, 112210824, 24398554, 967168524, 551450911, 4706459, 201927654, 913424387, 314219580, 919234918, 807692034, 705626927, 953357124, 1069076063, 362506738, 148697761, 386459765, 9119527, 986345392, 524848283, 379014581, 112518840, 758662855, 444064147, 1002750131, 424274467, 281391780, 822639425, 479302171, 618850743, 419542742, 450211837, 949617442, 593359746, 573201534, 549619232, 490459037, 469471880, 424694346, 166954791, 278770737, 872719552, 909450803, 776116041, 38799591, 954976647, 320255057, 20030501, 708577253, 250592233, 582420908, 772941664, 1052153425, 269631152, 543926668, 74510653, 31168743, 866325377, 205132553, 593025303, 562590382, 394065667, 682582203, 312837333, 192101917, 755719603, 923940943, 133146431, 68206960, 826784804, 654035237, 695888839, 377658072, 57498090, 1014725442, 447608224, 798029798, 517261581, 578372994, 389181541, 154625237, 439718876, 743401687, 652311603, 404710380, 915661712, 263214644, 232104184, 210534077, 723958819, 173925885, 777113153, 510009605, 500195630, 769649667, 695691895, 345803151, 1051587677, 887861844, 637379288, 594799861, 68850821, 204250029, 209840436, 517292420, 173648550, 222305264, 350053641, 255139403, 836941777, 900342881, 330142844, 449439688, 554809829, 555001360, 339580756, 533341106, 79137664, 1034802276, 100332602, 937768699, 593808344, 429266348, 21345355, 727995782, 894205449, 93610430, 415541518, 843074163, 479382515, 713209336, 360492015, 334264733, 381348898, 699174430, 220036983, 322174326, 765549868, 844906695, 234667395, 254049236, 738376969, 303934663, 813186369, 150038639, 359904412, 676456906, 1041780330, 611394985, 713594089, 632939045, 62616759, 712084966, 347008405, 1211111, 639187488, 1035995460, 1059279723, 495977516, 1008824547, 971130826, 372835978, 763543027, 364203397, 150549288, 546842346, 432526949, 688152695, 1042671298, 1017589305, 449572959, 341629774, 1025560303, 839092380, 213773336, 332129136, 618929618, 1048339770, 715182771, 206980235, 266048683, 655895845, 225676138, 1073633996, 424335813, 852896174, 961367134, 795710004, 99977342, 48894644, 812163073, 930281653, 824598515, 207997663, 645818075, 319938680, 335148876, 736088137, 546346454, 1059843565, 22411491, 786370994, 374337269, 906493206, 456736974, 741755642, 1066496873, 480479445, 633346879, 455641075, 122474422, 937730987, 285721348, 556688204, 618609371, 484915918, 537334818, 626383676, 215705582, 535217883, 704149184, 1070245119, 839330127, 257050530, 564820507, 851214179, 656770117, 207946987, 983148774, 300258288, 309078105, 535888145, 92078762, 623588438, 838669757, 5957401, 43837806, 695324535, 935610037, 275260054, 1057635267, 1027381270, 932048489, 461392111, 525089548, 186940763, 349472253, 857402492, 846223339, 574729159, 493723767, 842300112, 807682552, 493589501, 772022383, 983793074, 39607670, 481067534, 762183508, 1032470419, 85071808, 986584263, 131273363, 656831493, 640824019, 147803014, 78870104, 982966337, 961317254, 225825937, 605378646, 341737309, 9172112, 102297414, 292812029, 3990900, 636953562, 116038775, 939343768, 119430375, 994448213, 68202021, 967290634, 516536904, 36352588, 631923983, 716856178, 873242354, 758779988, 696117968, 884032960, 492304726, 173639690, 215410499, 419084005, 504860367, 1049108775, 328427700, 497285892, 461766622, 2380673, 48410301, 994367158, 239070275, 192683895, 744571553, 409591222, 789294683, 628984852, 886253747, 778195130, 234102408, 365696043, 295936470, 545856250, 477638201, 198587077, 856569496, 794172407, 281652392, 602590084, 696568770, 257105019, 328237222, 902125550, 825419041, 281308310, 721059488, 156431768, 334957665, 1071077298, 484123093, 78349593, 178873519, 402382060, 690119714, 984281576, 917961731, 171839417, 618365596, 693675259, 691772456, 973543666, 497971613, 347797265, 546485165, 166860909, 860182797, 332711252, 351535262, 730058420, 636030165, 779430698, 796214654, 408273321, 698003401, 602855417, 154815345, 452249061, 143506758, 1036713523, 31783205, 348993772, 953621995, 129353950, 770846529, 154497472, 1056318329, 859117013, 842425419, 101407429, 990069083, 159499539, 610808095, 421994634, 340687312, 779908073, 823030307, 87856034, 721911835, 537832567, 547983392, 152915706, 59561226, 724909535, 765610779, 117723030, 523885668, 476619828, 636422581, 31331003, 606597200, 476580022, 105983353, 267188285, 46436855, 29765844, 357745524, 450239654, 926084, 878684092, 933493815, 534870977, 578143359, 648451533, 780323009, 535223741, 236943424, 960057501, 853792082, 733606956, 665857251, 180915191, 750009778, 297566041, 955697761, 354391226, 390080360, 148048171, 89297358, 486586582, 271214725, 526195657, 351194735, 105544154, 678193276, 392470220, 446991059, 230828074, 1054190643, 969585007, 147534444, 592030722, 620730465, 690609684, 650999817, 902447305, 435454052, 982798472, 77835054, 876679666, 887237100, 496103879, 187233465, 193670307, 89833878, 856707178, 775153192, 275030940, 759136465, 53873274, 819416699, 362560874, 88561850, 475259586, 318572505, 619994169, 853678506, 592784463, 864419298, 285656366, 317846293, 288827989, 336512806, 922052982, 508685738, 131964688, 892544640, 92381653, 906638937, 655333480, 854988743, 387864611, 828994614, 99098048, 714323646, 965983290, 785534958, 952796743, 954499406, 106025852, 485038714, 70860331, 811810420, 580298174, 444897769, 914754200, 565970378, 668371489, 802938572, 503609763, 447842668, 484912735, 34968065, 740005716, 525511268, 14588542, 314575032, 212835627, 860785595, 767126674, 558686681, 163833238, 350915432, 323902022, 471070040, 864407464, 606128538, 538811802, 287792961, 659370131, 547811641, 97291854, 664389377, 853561439, 120218083, 487387105, 86795328, 441656239, 942412914, 814484627, 732598655, 609038719, 560581897, 883879613, 167932004, 1025549098, 372582576, 727561227, 130546654, 626462901, 271923130, 300122302, 393581747, 748308271, 745535222, 982231268, 731511197, 615752222, 517312159, 34713588, 497899819, 276130977, 216265524, 342781915, 387120205, 1054107717, 575033891, 844233461, 487753062, 1029782213, 839258792, 867497104, 197996407, 494110853, 1037164347, 720676393, 76298183, 808235804, 667619173, 705918848, 304390863, 902818537, 227658898, 457607708, 930313348, 262658178, 134630455, 4533188, 13749035, 1062203078, 428851919, 271352300, 233295466, 640870909, 320424594, 476129222, 259347350, 822321814, 262029262, 24514067, 809789659, 613892574, 535006284, 398920130, 1051600180, 474167176, 1001006384, 601971509, 581347366, 631291741, 538576773, 370735495, 150691392, 610360309, 235714923, 568248059, 161181034, 910327693, 236656671, 187324037, 276307057, 276658165, 468578442, 792768293, 921851706, 1034959076, 381199033, 676535345, 187151280, 907892372, 146783828, 1019386993, 127250026, 754753679, 563755868, 47169254, 542068189, 747965868, 785512679, 689249482, 526363453, 189687814, 840770539, 808299681, 39755604, 175680336, 633672210, 665208706, 202292858, 280290336, 701321461, 458477284, 228900476, 642036718, 134142266, 1030873662, 820612253, 643284994, 679221682, 946425575, 176519546, 601994143, 43833537, 604422720, 269422049, 969517495, 472609485, 1005062555, 691021460, 907945078, 306096981, 102456222, 881798133, 1066910829, 48485054, 435764447, 920718946, 452444814, 1022012633, 504337237, 347833633, 1001147336, 88095597, 527747161, 253122613, 428388113, 767296824, 558220241, 29492450, 196547812, 971413270, 535720062, 918238678, 416520622, 592352221, 851536238, 517908103, 727866287, 189061809, 670673004, 314934446, 108716905, 38364513, 267832685, 634391824, 587881186, 589157625, 756782158, 741077630, 855308375, 453191378, 339152646, 850846932, 1052465112, 131581063, 592792284, 150812396, 641129980, 203707216, 230388528, 380641845, 900653314, 657372326, 158023672, 819257781, 1009868198, 859529112, 532154383, 936390717, 750844988, 766519878, 329319014, 726646738, 723534160, 299555187, 398026370, 481596810, 834255839, 887090569, 728181478, 927403981, 117019957, 699390691, 687034358, 63119173, 683648198, 629839427, 1009630884, 722364662, 3659787, 882485064, 16578810, 123288058, 348220997, 212011006, 804443106, 110052130, 316444850, 375787892, 865428234, 763079287, 1010100373, 169141782, 537033696, 108222701, 768856652, 333242000, 963172581, 232085512, 52476051, 594436900, 887424912, 443851727, 873489287, 610932989, 119228276, 706045932, 963516781, 834415713, 169429310, 609773570, 433573430, 820718710, 941643912, 588456306, 554266717, 318314037, 952383733, 292690796, 691911727, 745492713, 174686201, 750934581, 890448994, 977210560, 271136364, 950694059, 712049425, 869546205, 532933721, 686009908, 933210398, 704111212, 420436090, 185606142, 898371338, 379580340, 461817642, 836375923, 296386976, 402949492, 349423317, 954326093, 953046571, 287863670, 710029509, 520456700, 731194901, 218217359, 829067252, 561806794, 109852643, 222005939, 293223483, 127511680, 441361879, 325413489, 86632142, 514280631, 252189661, 366337847, 196893738, 746002484, 94147933, 561039924, 1073169129, 730283864, 413476138, 107168858, 333887442, 509905194, 195240024, 235493496, 382586338, 254921212, 443726257, 107178150, 211669473, 294385875, 901409124, 452927373, 260111050, 257294129, 263202172, 269863185, 112183821, 230372128, 892378413, 301898716, 151220092, 663909527, 462385203, 576102839, 271049948, 747637161, 44534459, 754383868, 122225725, 676165333, 542291773, 883026243, 1029291242, 941157089, 347237447, 835505755, 985602236, 419906119, 624776657, 684240086, 663390441, 477068868, 412618632, 782057015, 913375587, 857550669, 111219516, 675701091, 1005396699, 631090057, 974604118, 508412076, 472654472, 823951096, 896664473, 879607524, 220785299, 94170497, 929271309, 942667890, 429518232, 631591908, 67220895, 1035892335, 912551231, 387589829, 772806890, 960246888, 22451053, 116373554, 685351470, 418052502, 465234901, 152782188, 789733456, 139205010, 334450806, 424769838, 639215241, 78506705, 923922148, 1018558533, 194079340, 750713128, 1004206475, 27825344, 329139092, 775616485, 107331340, 405029032, 261861404, 266863324, 368538045, 997661724, 1046627637, 399364509, 326599587, 593241941, 782371954, 356576763, 681248686, 600695241, 252519161, 119790239, 327429191, 274253059, 1046124751, 1001313735, 510337401, 728338214, 569743625, 356285800, 41359365, 633026657, 132365748, 156808555, 498659198, 487838762, 650764838, 899595435, 847182092, 930477467, 200265019, 218416755, 958171922, 148696052, 323062674, 941259097, 991867818, 232157810, 577970719, 832215471, 73406155, 264037352, 676165585, 928020917, 771717950, 950644370, 356274800, 1037645125, 906088766, 589573742, 124266723, 655851488, 786971197, 349166741, 408566599, 638112607, 640062662, 846424392, 413789187, 627079445, 164058264, 552776526, 372019330, 568981593, 86978804, 200371196, 353891598, 1010624097, 110611858, 899339191, 417848667, 46271716, 511187461, 1024431534, 67689907, 184844058, 409504480, 496022949, 57848997, 697112, 189137245, 1028083482, 670445328, 608873287, 582338317, 73164285, 473963379, 886381485, 364347393, 460002456, 436495413, 428921089, 302767708, 454576674, 842635752, 888676990, 766042963, 313018836, 481037766, 577498696, 956000106, 220768600, 748209885, 678593300, 13779342, 268220804, 283284011, 890798133, 576394357, 791004438, 827068456, 558023983, 187158804, 16643699, 246138176, 987138832, 1032724102, 466093916, 641173597, 697009434, 605364556, 96013012, 555708008, 128856397, 7507315, 416412135, 624080535, 301848295, 248511429, 329682936, 599475138, 314960481, 42283499, 698941208, 666854735, 348422968, 743748853, 565400934, 258644037, 486737132, 83195374, 123996301, 54940705, 77121394, 667074695, 970560184, 400785011, 798158563, 924297883, 396999280, 1047382430, 147396822, 1055335754, 910047068, 836760669, 637994651, 104852299, 557463148, 1059665466, 79259712, 847410574, 699093605, 616994104, 980055950, 949471373, 927588575, 1310603, 584976810, 120595293, 810608860, 232793926, 869667263, 1012339128, 760960029, 450438785, 992832789, 431891288, 474216976, 397194599, 539385764, 746257280, 524653167, 736786669, 364824362, 890492059, 475021111, 562728971, 660099260, 415577136, 921560171, 719043186, 807679106, 188472433, 330789436, 456660803, 507990946, 952311617, 29904450, 1046451356, 192229428, 987919364, 196098457, 723087767, 1055542969, 612009483, 786864711, 735098313, 778692977, 795051530, 589620314, 203913153, 177007199, 38429504, 836335352, 858108359, 424475697, 349872313, 435743748, 1045948590, 883617934, 400261448, 968536967, 94237535, 157749814, 533001677, 517912314, 731304094, 278036552, 1045545738, 1020058508, 417492931, 435514218, 497657358, 382636039, 206396381, 467339844, 1019923744, 346156889, 962469520, 493305904, 452311293, 322601043, 513959277, 868103271, 371013918, 812924894, 850296613, 160067580, 839874448, 46132373, 693580769, 617969967, 1014121949, 425889993, 64246556, 759061631, 716730839, 1011157791, 550103574, 389591799, 384958376, 105135642, 648325104, 604131665, 652323588, 673168339, 995918102, 931280723, 225247484, 669372977, 534083200, 684195740, 230840286, 889048259, 721317913, 504797789, 811867588, 584832789, 482175645, 834989003, 686356512, 524533918, 766928823, 510072709, 445484723, 412574862, 56620777, 402952453, 549729239, 737720936, 230870660, 8442214, 511132494, 116519629, 507961124, 695718403, 1042938113, 577076972, 227504651, 332602245, 228401803, 155774468, 1041963577, 865791593, 897954851, 384208748, 1066092483, 976643114, 191879971, 804771174, 839322819, 201879774, 22367728, 486738725, 722058948, 828566541, 1048072015, 596988713, 757252652, 165297334, 871653814, 31117144, 227243079, 52239879, 9782968, 681789278, 650460942, 136883264, 217577782, 458866476, 643852005, 827757677, 616613586, 19922612, 341032587, 421735988, 508077858, 5868405, 463429647, 808997189, 711356439, 137848615, 898909636, 334662406, 984342089, 280268155, 60203551, 71310793, 975890738, 991895732, 671817541, 401233536, 817964111, 410392939, 731801074, 816029997, 640727145, 668745627, 162435590, 919091747, 671819966, 572133025, 677841754, 439120118, 895117872, 888465624, 483693794, 566685369, 817109495, 301097105, 761102574, 939056364, 714502499, 833493820, 175948277, 491378318, 1010976261, 1053698128, 823000632, 699448359, 971454457, 387492029, 681278965, 194198136, 14351175, 488323182, 450430359, 546908124, 52374253, 126844188, 996255713, 71652739, 804342214, 113076923, 9012997, 451010749, 322573382, 629218929, 955533817, 91488752, 83619018, 517351268, 318281755, 640879677, 584569460, 622363909, 494743920, 342861339, 127674456, 450327910, 569702136, 244573358, 23989574, 692298492, 907543546, 139428544, 675825907, 196664181, 1048511651, 17548253, 680773791, 990226730, 577073817, 533187868, 497031671, 698705217, 884804565, 905738296, 579013194, 590493404, 19411666, 212703353, 167271772, 451312394, 450987276, 374443025, 101783115, 224461048, 492836688, 741792563, 7020050, 382133662, 453302309, 400043487, 641840755, 142918549, 375328895, 237926864, 727284306, 529434501, 451467162, 480205962, 821566984, 87030632, 518607552, 404220678, 785438510, 17480842, 669961591, 228892081, 543820014, 239453281, 502609783, 689799078, 815478021, 511352515, 425738594, 661285658, 597836219, 443665607, 1010185665, 141735471, 571740979, 1008175179, 894162295, 917626819, 369143981, 420002003, 142763313, 489674582, 166831407, 234389714, 856003499, 902605827, 417715512, 651339416, 196677395, 138049557, 906841439, 554880982, 282924998, 78741918, 745749829, 245158806, 795040139, 232182140, 615355814, 512790109, 358086730, 198939684, 3370834, 697070601, 801062489, 450465801, 345791588, 586228036, 149897101, 858925081, 1073609172, 138716369, 530066991, 594512769, 745533346, 245943465, 450969137, 438141551, 989219047, 555003541, 846025581, 1001244808, 422854646, 553503655, 573461417, 328340480, 589515575, 404551144, 429376966, 581049843, 891967898, 851478505, 317709908, 581823261, 765748152, 243050502, 583581360, 500576559, 672861341, 937250802, 259153609, 170518828, 946783812, 207186059, 65738198, 984267028, 199984239, 664090531, 486406844, 206742681, 477635456, 756034835, 276597314, 670635808, 899231120, 148876330, 834970128, 878235685, 319297477, 128492771, 95596786, 692097625, 68736563, 709314459, 292718525, 859730138, 488465731, 545830116, 983169376, 1041340909, 946893589, 645235232, 201196257, 153904396, 598699179, 725571141, 738984721, 1037085996, 539241858, 935068533, 620858439, 69740439, 748658615, 973931406, 1024657609, 391473913, 1059384934, 939531698, 938933833, 533940803, 317211487, 1039703705, 54870182, 223526550, 93972372, 516796515, 575151257, 479827025, 973442711, 434811886, 334549424, 522434260, 980133443, 144747695, 549203703, 471713183, 550951761, 968880453, 61203252, 251863805, 322573637, 585013802, 639882545, 477925446, 100270943, 36581224, 744768195, 149645947, 90894709, 196229492, 799777765, 649149387, 961655389, 169841641, 720730645, 162884880, 88902690, 306728669, 421236752, 101347752, 370698970, 11971685, 181113945, 486280727, 532634874, 768949183, 808939341, 147811325, 713612386, 982295475, 19279297, 704149592, 405613344, 291046914, 70471161, 145798818, 313208334, 297484124, 948485488, 452784913, 987800012, 770453602, 371166348, 851010605, 220293691, 1019788243, 2237798, 761519412, 919034324, 609090816, 429479147, 621896388, 742075356, 339848482, 467511222, 839574674, 983015947, 56989546, 976388351, 684936982, 718747002, 870323501, 908870130, 887035928, 73941067, 545083626, 349562376, 1039856772, 533050711, 998498809, 609080207, 197294381, 577259070, 700607494, 679076343, 25922772, 1067326538, 754718360, 865551299, 415652749, 362980744, 780622961, 41360998, 67065845, 216449682, 204162917, 129786114, 586196503, 14393560, 468672867, 92035614, 52086867, 217549302, 638644158, 171451556, 420929362, 161885414, 1036947492, 59572165, 383440351, 54034342, 792834008, 621527783, 726747668, 1024761753, 52628510, 457473573, 193335653, 1026897854, 392726748, 777054747, 281884134, 642925113, 284697019, 328007768, 503850450, 815516781, 457662583, 557772259, 829588735, 1007405420, 1029205420, 633436203, 339284929, 1029644123, 646163232, 55802786, 719547799, 826159349, 585073713, 1070699996, 523712221, 927431835, 792522813, 834930011, 397674249, 901111014, 168260159, 832418577, 215243471, 848032819, 548763306, 343562292, 584369511, 720036163, 56527980, 193533532, 163903958, 228104796, 852645780, 88757388, 807548611, 509381838, 684885487, 78631619, 36174911, 636403529, 729379135, 121952405, 68210742, 948586089, 489474213, 574686484, 793589881, 792550892, 117452371, 920873158, 465613644, 787446056, 407594272, 957169665, 947615662, 773639181, 558090173, 1050044598, 171703492, 33114768, 697247444, 615086577, 486147020, 501604460, 1008154367, 397433398, 522013580, 783572343, 508349459, 1047688730, 158526264, 250280033, 454148024, 912838099, 284116009, 391092276, 183899899, 847323409, 331859809, 761480523, 871886509, 1063736450, 749192198, 364778521, 926821653, 767182076, 624940156, 649374143, 735392989, 466548476, 176092092, 900257665, 766648695, 629924547, 996152968, 675611205, 273689004, 590608546, 189553675, 72837598, 766318731, 315318438, 83034914, 361645114, 817441674, 1002755537, 686389159, 828653904, 774405682, 282895308, 668836636, 512094041, 475462997, 943501331, 906135958, 543032340, 441234923, 649744456, 310146877, 1045877162, 398172189, 1037392287, 486270888, 355898356, 283172973, 599221003, 310579754, 802547133, 124221347, 69021674, 458096481, 789934807, 305690987, 715563514, 684064658, 979963194, 147002006, 145032230, 523356326, 850202973, 286017740, 573305091, 830434287, 806368311, 803685560, 1036372872, 208209667, 736169350, 357877950, 1042686342, 503349579, 6421256, 20329549, 946566321, 16605961, 411178917, 2709824, 248860186, 420496931, 607731305, 316559780, 533700697, 1014137113, 930339408, 253292298, 89649623, 425830707, 563561610, 828810465, 256446910, 461670224, 550620316, 982716734, 859619810, 353454024, 454984272, 1031267143, 400076449, 423825186, 64582504, 839623253, 33459527, 458237560, 853996301, 774096452, 422636784, 644844291, 915005791, 1041070522, 741799770, 21915890, 749736291, 139238294, 272812663, 743208046, 244320160, 570246133, 661469117, 464074503, 663031163, 1057783843, 808366629, 694677930, 853629600, 227228241, 142009595, 344365325, 228027234, 852943031, 847247627, 919170805, 59968302, 60271100, 388181030, 710380057, 476059956, 360850482, 854856680, 83998822, 747857166, 770008994, 245219656, 741112681, 689872192, 15960472, 505745565, 423300751, 919124761, 98331571, 176966683, 759312847, 861861764, 373969677, 580507572, 352999018, 932762438, 664659416, 682735371, 44379994, 92875811, 1022432299, 380248398, 156506204, 78471136, 690056233, 460127594, 437731446, 384429889, 931681359, 665911391, 165881552, 142873255, 928101593, 736034107, 320836109, 713225673, 846688412, 158367087, 142525024, 302716854, 414455234, 715619480, 885943490, 741634984, 351752221, 749686275, 712853120, 61368164, 13094718, 819068186, 627112394, 161907904, 1035396971, 895267815, 166887197, 299330254, 626172340, 492026609, 765076325, 734591716, 212179903, 90392615, 949709368, 239224601, 5842643, 4680546, 364518968, 557395800, 331346589, 720695807, 594339209, 656466194, 100976136, 855835654, 598023397, 2090370, 679398999, 289469290, 57775245, 601450572, 499886384, 1011655229, 555610306, 994320895, 937746183, 760588604, 759646851, 34310890, 736023179, 91902531, 206426511, 1028206763, 913585211, 112977764, 693228652, 143132835, 696629630, 56651564, 976166741, 762522058, 75052089, 1029861019, 518004702, 694637528, 380391775, 798903052, 925050900, 549374368, 293947271, 965371076, 100872220, 886742578, 224173277, 484496486, 236862974, 432584719, 211936847, 774667821, 465870634, 284615939, 172895068, 770189731, 340988017, 252138300, 1017422897, 877918235, 748486054, 36390056, 660605806, 951024725, 431432583, 376575268, 612164650, 988215419, 56186441, 286647143, 33629388, 261047948, 851908875, 310473753, 992804212, 821986608, 65558855, 670064064, 231417832, 815790548, 90735908, 160864649, 645768072, 522217010, 734811924, 505784598, 610969327, 1054543818, 950492830, 47737688, 448757744, 95254495, 277365735, 1010093590, 106682272, 1050726066, 247920794, 586319309, 978924982, 868283000, 256686600, 583585195, 546804391, 878055071, 254464591, 487892155, 90758469, 272751831, 952956440, 536735942, 144057583, 567021769, 773838268, 951104686, 623703353, 517104402, 732385585, 653957134, 963916276, 729795645, 787778057, 80681578, 336064986, 74153600, 1031924096, 520236730, 996138752, 351894079, 92744121, 304872027, 52427653, 570565943, 541383159, 946013852, 869251193, 912481909, 871514879, 883603022, 1027943726, 190194146, 574604245, 376247921, 765602261, 545982633, 85132982, 58558045, 724131834, 225982470, 1035656253, 943647183, 513116635, 184156333, 189201460, 123732392, 137776398, 876130454, 879129222, 1017515368, 23335074, 548202601, 756165101, 999709568, 939304533, 231846079, 151793000, 947672204, 917232010, 405397459, 301443444, 732607070, 457501337, 17844750, 737535139, 150740246, 578112003, 442761221, 1014703352, 161363021, 245611478, 572709784, 183756873, 920316887, 350883204, 236872449, 303064101, 127352638, 627692730, 1063389698, 976632160, 924638122, 395818986, 777023812, 176007005, 712224366, 558609227, 1002803408, 752015617, 286477003, 758580925, 1049200453, 7978943, 807882579, 643498123, 614606209, 577341780, 457990029, 180889857, 329365145, 836410005, 989549321, 320793436, 460086197, 976748625, 772949995, 559118346, 4351615, 866712393, 909357262, 110037753, 269639828, 667337314, 207897031, 590756194, 11838319, 201811393, 1003771027, 184847127, 84149564, 849286640, 325348924, 1001884046, 927455060, 666352083, 92098383, 510526150, 397675450, 225474020, 256102615, 80358934, 907048543, 535814334, 649820484, 765464306, 670951787, 517308521, 362184625, 627533329, 128771444, 814132952, 915185806, 158737480, 845679856, 17793207, 712953893, 713802493, 650784146, 333521906, 269588353, 344966947, 333689104, 610330867, 920415997, 669689905, 1041672026, 941666944, 218541670, 1033341892, 895801161, 981895672, 314765006, 290977318, 858384224, 153632397, 1057791125, 160654313, 646370008, 579761753, 26159015, 839846689, 435604, 98775877, 829565869, 197128639, 773858192, 715906, 987943638, 1003550358, 383980340, 300533680, 224215865, 682058476, 859230580, 109786440, 278112329, 1051314771, 796594806, 877581415, 518106055, 242734967, 588114468, 987014706, 700802084, 1024992294, 118971375, 819190029, 152434745, 263585216, 131190963, 34570603, 631073117, 243210079, 668033678, 762877951, 747387647, 810933195, 478491096, 520253728, 12645071, 329421039, 455437373, 936889084, 621330119, 934017149, 661412562, 909087453, 305315051, 1020276180, 924407350, 651932932, 61862914, 834559911, 69575925, 704309826, 633822213, 898322893, 679262308, 197503319, 644347068, 380967679, 801202330, 844169977, 876988805, 195231628, 190883, 379572644, 601421699, 1060286822, 1040078758, 904315672, 602328201, 842334293, 208939255, 1035115195, 29991975, 435604510, 428109853, 876949338, 951905778, 264280375, 146474668, 636355622, 903194111, 647525951, 634905285, 711300516, 666001889, 81097930, 671509208, 797172324, 764228367, 377702479, 977748015, 424150659, 39092993, 951497999, 662214363, 45206102, 34484626, 802776462, 634959719, 609588202, 614452814, 443049148, 4324933, 449122560, 286267181, 50494014, 967791010, 340656968, 299304533, 723479249, 286848193, 1034586981, 133228452, 465823598, 24946217, 633573050, 705377825, 365703227, 132079788, 943822888, 673842944, 966176661, 928545133, 937194088, 323773822, 438198131, 683476917, 871122105, 147880267, 446411903, 464953699, 124285345, 872740856, 1030864122, 732700854, 43624488, 277410390, 604030696, 709447938, 443188403, 466373329, 525730847, 592320298, 279688713, 615343748, 30067909, 296696619, 897764971, 1030926394, 642203352, 408321756, 542620822, 714034980, 4967062, 122201338, 1024679469, 999136217, 700932788, 1071087328, 1052425385, 205866814, 579703497, 306673610, 370157941, 695087802, 692074337, 842226407, 198745151, 1042634890, 960032073, 439441554, 717876560, 1009256139, 51445319, 532343935, 55018359, 1058299348, 1005126117, 177546447, 868100938, 741886807, 28949003, 654804422, 266627509, 115285613, 168955901, 539450803, 352321142, 522627767, 382763232, 755802142, 790016283, 272346324, 341379928, 231848962, 777243327, 1057488081, 4967237, 599486857, 186338804, 429389136, 945899981, 213827691, 13360577, 950156143, 120213536, 917630301, 984368561, 1051456179, 361015778, 438713812, 732890734, 572443325, 522851587, 184065196, 909029443, 923276526, 512702832, 401344164, 29406985, 941694027, 998456409, 267768273, 910710060, 555549477, 694865686, 819336114, 769096380, 639533158, 803612937, 237605339, 799846166, 473673969, 303956493, 1029911213, 675824932, 357177406, 341888906, 990156519, 794993768, 597765919, 665506063, 505848380, 633555980, 575131841, 135403702, 764370495, 1033317747, 857754676, 999232137, 1017809811, 700158739, 184465168, 188247110, 461045789, 1052696668, 527763909, 277164546, 479777764, 273517738, 133269878, 135997880, 214133984, 356478432, 735307839, 802242980, 1049705189, 211533206, 456385424, 1062298114, 860158453, 646615248, 974258126, 496005129, 990700102, 134699729, 1036721742, 618249898, 712284191, 921287883, 941833899, 698027378, 779035983, 698084302, 995574089, 52734251, 584286419, 866426551, 801945868, 1002680418, 394803221, 9519068, 1059174785, 913012800, 1008432173, 935041708, 90179369, 767561801, 386620032, 964032315, 247210121, 7222696, 684314001, 219451885, 55663015, 877411886, 690058811, 886270508, 63698893, 180771618, 819308612, 908397843, 946424781, 622856145, 218210756, 995955792, 489317268, 879229086, 359086563, 214216485, 448201918, 967131386, 417091207, 911585161, 136587801, 258455906, 844332589, 278947569, 693719748, 268247715, 896110145, 843161251, 532710613, 723558525, 163067467, 123752187, 497434910, 525234275, 278732566, 532148217, 464524138, 863941642, 724599690, 534169004, 393418026, 858671725, 372550904, 978062153, 728180724, 21874685, 254994459, 119149577, 114219844, 797018165, 719390611, 965392163, 1024328553, 99247748, 516228562, 25846654, 908110933, 786611195, 889798508, 595781609, 979108329, 622810719, 215476379, 508520446, 535106071, 44977355, 948399691, 1020100418, 786117918, 574187112, 398913995, 617497669, 333099210, 1043013812, 78611737, 692692591, 49427501, 890355920, 543627797, 417275737, 499045599, 386704768, 364314367, 16617029, 1006663603, 430913264, 647129769, 414410056, 515652429, 439367445, 124584408, 1021811143, 59353847, 39323855, 290394430, 143064709, 321581814, 829959516, 227440284, 700408424, 73581833, 602233454, 534153548, 916731857, 1056368292, 1046140565, 822389185, 393918001, 618575930, 1040885144, 79822123, 20877723, 258678731, 867894070, 889175442, 56695138, 739575190, 671935281, 756457986, 593147999, 232882232, 1070053431, 1000271834, 287050147, 143894270, 22055283, 818465582, 757790863, 238765569, 1015876699, 197280376, 17713347, 203717598, 210627229, 62129341, 518154818, 814409126, 953024340, 592218479, 20441544, 409408337, 681749469, 89010492, 607631326, 378681788, 536131843, 1057109667, 29704439, 353114446, 414861985, 549989336, 607373134, 1037516882, 495648934, 782977745, 701089210, 974746981, 776525152, 947083899, 963044575, 32437392, 1014367097, 426593145, 851393948, 731403914, 183711411, 320435004, 26789535, 40503691, 612160599, 1027463417, 120824392, 1058050948, 190936133, 404507194, 712702332, 353720096, 606028944, 336222701, 913919616, 782843825, 938500310, 216502512, 775572784, 656134848, 681672531, 918129870, 211229670, 471780403, 798896683, 424829695, 173725340, 22540840, 451377825, 988508067, 864909103, 116729184, 438361420, 188285188, 506507295, 1003770047, 857355752, 951064433, 201405387, 507444924, 479199728, 993427700, 711798020, 987181824, 809430926, 1054127096, 245162706, 646318175, 817791796, 222771790, 1069946194, 508837396, 423610751, 977786284, 310157947, 811790221, 900409579, 473109552, 763940764, 124390753, 504682927, 479244677, 167343680, 879826565, 163682900, 460434853, 767862182, 691601936, 98843154, 414913768, 378545693, 532439125, 856039377, 789011875, 496285435, 900618026, 508668160, 280893482, 353668360, 283097293, 138858126, 715216050, 279583310, 436272575, 177625554, 740497029, 666328632, 80182186, 650396355, 152468077, 35285393, 858334045, 691119128, 304884735, 84567559, 286414866, 942695943, 6708313, 365094007, 176200460, 791375102, 45333538, 274691281, 744402685, 1048058153, 334607533, 302564199, 494690531, 669395935, 490104330, 136546491, 456564382, 800263387, 875654214, 233772314, 329463308, 804750837, 792086402, 682518505, 89803491, 1011310541, 67566694, 251260602, 720243429, 326608448, 311983278, 567497329, 610988066, 611133898, 1044924633, 727008369, 670449079, 296519047, 1068373591, 391571380, 534679494, 557885203, 617593146, 48831818, 1068905414, 653840626, 1020580241, 608038729, 867727218, 995431882, 531977082, 537939810, 812003169, 200948834, 422007699, 956014479, 596210604, 770528650, 607292372, 454657278, 202248508, 590444828, 818296580, 778656002, 705298446, 166019721, 657856522, 26553926, 297255749, 853887947, 491800876, 401485962, 137309134, 287978353, 53774909, 911913646, 564786026, 576646106, 1073481305, 576344195, 212873933, 828652435, 552602425, 795838399, 642285824, 879710344, 1055613929, 520322502, 527347526, 47323784, 138442206, 511154241, 686930396, 52754198, 438208314, 454401726, 307188756, 44482204, 282935490, 802734106, 137378870, 526868996, 937137938, 876685039, 214443926, 103212036, 301014222, 351792394, 891101965, 959569373, 893405721, 154734719, 562851817, 704655897, 861173333, 132693100, 695908442, 979004140, 82048676, 924500153, 908208635, 1066807712, 470993194, 178119333, 211939647, 314858512, 636120246, 971221578, 18331549, 1027963793, 1066103317, 604910348, 734584589, 15882341, 1007391046, 514418138, 805056820, 825894521, 869519633, 659672948, 579346415, 296682850, 714314047, 817699138, 439452281, 53621993, 428472051, 404501082, 365532597, 282307389, 198705513, 466982133, 850297292, 107803233, 665759063, 181279689, 574156015, 809368575, 379611402, 627441993, 862769522, 768597298, 1024864211, 521946838, 341117797, 138288625, 78318746, 647786580, 300735059, 618488730, 629000768, 137839539, 167418133, 4879188, 181967630, 126382146, 307980550, 779105046, 94118624, 533217187, 377524001, 860194060, 782081933, 609655332, 705244434, 905604988, 760997084, 151184339, 675294363, 468467097, 910199344, 623372913, 927550934, 1051744190, 111733218, 604904833, 656734353, 97099445, 992762429, 349054932, 1000140923, 804995462, 586475082, 1038300527, 410559253, 162815510, 500315834, 763455327, 698168812, 1009688539, 804332899, 689348731, 718925743, 743577029, 1041535433, 116507402, 167476455, 971120892, 512216858, 755213528, 770360220, 533220680, 752116755, 768589652, 371105044, 909991527, 509398236, 718399042, 831983686, 259627666, 784267330, 765378435, 968757201, 706198600, 6193808, 975308187, 633059481, 173109629, 6595834, 469643723, 431033803, 248552899, 150865808, 182180203, 809399410, 280666412, 710437196, 158275199, 404974733, 874773336, 622864443, 1037011080, 955145410, 257156072, 523055449, 631254243, 612751926, 778101643, 488482050, 727063073, 984678654, 730856744, 407466698, 348875933, 38360514, 633359089, 874442350, 188523266, 346617858, 858924072, 312163887, 576154313, 258815815, 519031934, 571337391, 706619503, 154243971, 661503010, 1022382960, 1012690663, 929590031, 1048114791, 400249819, 905371550, 10099355, 906805739, 388363858, 100361003, 849088672, 158958192, 795266722, 574685625, 364542904, 739285162, 118639790, 209870881, 703602999, 456841241, 926620997, 656802074, 620785839, 38286277, 1037197537, 1004790959, 13302499, 646721868, 633121707, 904916574, 323643011, 812965285, 307715672, 65375083, 370068998, 611075206, 766639595, 68865931, 739173575, 129811174, 1045698517, 838222508, 397031913, 28801467, 252842833, 86863790, 576341380, 528074227, 549708934, 409067004, 509798464, 813282889, 384658977, 28110493, 772997946, 982638075, 814341127, 311326038, 597711226, 940052968, 337057699, 342535395, 497741006, 600312112, 309384784, 714714011, 899716591, 550057524, 364701175, 428836260, 1046146691, 1053586880, 921561494, 1031911284, 928404956, 136791116, 292247611, 454445773, 597234215, 666954961, 397999793, 618250673, 388789225, 233235292, 14190202, 831280836, 401182323, 975484581, 692221831, 425675506, 448003482, 774702136, 587560790, 10417919, 529546745, 121243810, 140278623, 226533003, 102336961, 573494002, 1013496921, 479626432, 998388565, 330827611, 720671264, 972410392, 386669026, 814419287, 610018272, 766421430, 378596760, 618426635, 302695105, 1000477852, 88211931, 1026478792, 793626136, 46624065, 321238539, 877105637, 4276562, 512812833, 934709025, 563648395, 930878510, 16964573, 723841299, 495480745, 886360064, 818635798, 406754800, 861975532, 653026138, 665783706, 541917232, 500595002, 861451976, 390572106, 385744324, 953686323, 610324296, 325502150, 78595301, 58697649, 924870049, 220398552, 871309134, 770569739, 660775809, 913917435, 807784989, 233107647, 420650975, 122137523, 800689841, 241024356, 584660377, 871031399, 1034901212, 218014948, 402380463, 190789765, 732463617, 1042867584, 640278914, 955206107, 989533605, 1008684261, 1024829416, 611732781, 735829699, 883842676, 74659157, 204863141, 728439411, 231542888, 1055232444, 532611356, 1066202044, 645923972, 473628614, 509472861, 790932581, 525561408, 144698624, 645967661, 244834095, 66474047, 423844969, 1001879090, 190480115, 647124791, 812970865, 963427468, 937082383, 553177252, 188879634, 785313540, 1021949682, 983057215, 432684766, 1069745547, 817609230, 148270550, 582661543, 936553360, 840976433, 978196961, 989787724, 913117466, 336356473, 945869374, 513149159, 854605705, 95203546, 220368947, 1054462520, 494772994, 1054840055, 66258168, 578719206, 162680113, 473003673, 202934812, 106593303, 633098234, 284304086, 802344045, 346992051, 992641697, 261964456, 90041140, 990484676, 1073406821, 871392360, 84143586, 509329099, 804391704, 313119722, 392168167, 309905264, 323702732, 79923640, 124657738, 31039744, 347763782, 514342445, 69356255, 169123351, 122115602, 44429991, 510983168, 110781131, 377506877, 639166558, 105115847, 774981173, 451573255, 910706291, 24326173, 886870132, 124383488, 617842486, 263137630, 69110947, 660315828, 296661505, 847308636, 611509977, 579704667, 73258487, 815734548, 729206199, 975309700, 828874945, 985212751, 597092852, 232559426, 397603158, 678214193, 587979575, 874609036, 808752436, 568764139, 983684545, 617742615, 773556178, 61784275, 841475394, 1066195452, 989908033, 242623734, 711029981, 248066720, 570833048, 1059073092, 898948471, 364568692, 612620115, 1037071716, 1037304689, 618945065, 306142048, 31640716, 528688113, 610474777, 197326193, 40149563, 107788362, 751001718, 417241763, 576500773, 702005691, 467506504, 362210195, 576772080, 561473153, 229230219, 640809912, 533186753, 781994095, 430226127, 258298845, 808678563, 356012602, 409428627, 295513184, 994483730, 138447008, 640771883, 730901032, 537773744, 966558143, 628645053, 64476778, 646868407, 361691911, 761464885, 670290302, 760799675, 1000915823, 806047547, 705906366, 414774929, 951685094, 612483287, 852609143, 765956390, 153408174, 760615572, 420694486, 1051606560, 1019774503, 449175440, 1070233667, 254818161, 358489759, 135721706, 219264831, 21951983, 531009187, 445765987, 871938496, 168074687, 94695313, 628012493, 895896018, 238055814, 104388418, 408531221, 624580384, 918206331, 431391730, 731312478, 543405243, 574055457, 434448226, 673527841, 193694973, 968171489, 875213655, 699190871, 276855205, 889999179, 450561916, 873677403, 798753277, 349506198, 1054443028, 687828173, 577907264, 893640475, 308496692, 701303548, 746188659, 867257380, 1012292324, 837580330, 149592335, 686633711, 225120499, 415068562, 762639462, 549182950, 322697251, 983683918, 70023267, 329491555, 256824535, 225097113, 302615262, 260120716, 266044111, 99279436, 395376452, 246009117, 607131644, 662697219, 482709663, 733414173, 678758472, 356341764, 102155434, 900206070, 99503185, 411762279, 629581261, 826722585, 265436016, 661708628, 775542695, 1046313448, 76785094, 466616953, 551767206, 190133605, 151547374, 650195456, 278723810, 110211162, 569529779, 797554410, 754208422, 1052219302, 996505090, 525740268, 943306631, 168793369, 49350744, 529451619, 851874783, 978131113, 267924761, 833713445, 754221856, 634851419, 280205746, 877220954, 320478819, 857443058, 27746342, 765306436, 609045448, 448126963, 75655216, 507151395, 761729181, 188683048, 37496933, 969041038, 969753278, 129466380, 304468642, 875333410, 819809707, 62975892, 946922193, 155539987, 359403211, 180834146, 308554741, 341032999, 998131027, 198327962, 430876701, 692501823, 599737967, 933996619, 994287574, 483461899, 343919729, 833002248, 248152525, 853594863, 1064615661, 596208463, 403737034, 311083514, 418204903, 625249001, 30661291, 1012525947, 828958400, 881946274, 869706896, 294241709, 716513752, 612890708, 360711176, 8179799, 158630775, 665233408, 746460399, 354650882, 236290937, 427227032, 374650414, 832537532, 240433868, 523994772, 229986970, 474246634, 847354375, 608970381, 497272699, 1039747629, 693230371, 17713932, 124700894, 124177613, 787294112, 898910421, 690225901, 230181534, 103469418, 633268348, 1007739217, 268139194, 253970235, 1027394383, 62529393, 502473223, 762010767, 1038218650, 25316926, 509850856, 496046252, 717042559, 885130988, 594402476, 224399916, 834514416, 275533165, 10855473, 387275890, 60471887, 1063814522, 70250983, 889969800, 878761348, 527856525, 1014070351, 539086255, 296382110, 919875883, 766305997, 749031633, 42193674, 14421730, 888850079, 265597138, 303967566, 280863510, 620335392, 433486341, 54201439, 903297595, 648885601, 87058144, 199426062, 1050880567, 838119909, 205383219, 228251277, 443970402, 787525419, 113443337, 567223908, 459621071, 384873382, 164386115, 534014361, 117078092, 800533441, 359856348, 290608081, 360654717, 509235922, 7457664, 297796186, 434565888, 8268268, 308747959, 505946097, 217456280, 918876785, 715266154, 663786540, 337210868, 435771364, 481853987, 530465066, 651832312, 632020859, 332318075, 460717118, 243754329, 993241023, 183092805, 534493750, 146327465, 329682499, 792940105, 608214506, 77283947, 269919412, 793918664, 374539430, 290822910, 963554865, 192753175, 444751350, 855677159, 496239916, 611833159, 198166476, 191327090, 536802842, 940904563, 945573892, 1062404043, 470927702, 485654769, 217569250, 410062783, 1054341159, 400739735, 950893778, 530946284, 456352097, 799672510, 287284201, 426522405, 279755963, 522680167, 881613647, 131698478, 706179316, 321935929, 508692496, 598824494, 1049408876, 75695010, 436226892, 277972216, 673812563, 579041918, 751089835, 425904371, 278524624, 198440250, 985698794, 382510538, 820948138, 997037084, 837721106, 119763430, 256804308, 71250613, 662709021, 936108144, 859386292, 578997184, 136704622, 331011324, 217833790, 779019070, 460036024, 182475788, 509854924, 87645413, 606396373, 445975131, 36796913, 572380639, 304933923, 594701608, 837442421, 850170793, 554619480, 1011907739, 145568504, 849401437, 743167569, 11387031, 83707187, 823207573, 797187353, 170803277, 882010257, 904797975, 675268822, 742655787, 562853077, 1027954056, 1004306476, 978564050, 910998446, 274487797, 736928725, 986313320, 726112405, 793422075, 780710449, 1070349105, 294965396, 11988452, 820859876, 92903818, 953621515, 742788465, 307217383, 344086849, 194369487, 520897822, 876810008, 3437567, 957542189, 301827076, 839980947, 799294265, 748305025, 738513391, 683938027, 388290050, 406406404, 148027871, 353570468, 328124922, 461385615, 109232644, 429259792, 618832463, 746463699, 64952246, 544606505, 122918750, 641633119, 372585205, 668465500, 155911848, 515858475, 206922963, 631761837, 758359164, 944313322, 338383244, 968371063, 257271433, 196967081, 770038975, 134122714, 856057378, 295525101, 756265506, 482436315, 392691106, 482710707, 741510052, 955008837, 518488969, 510346133, 488288712, 645771505, 223427329, 459358984, 161280203, 690205217, 979950683, 888914470, 105008164, 536086659, 899755655, 575326935, 525604443, 28142745, 392410470, 430054436, 473922506, 345588960, 934146959, 768507020, 80113693, 446403933, 26867524, 618869020, 419204973, 494598512, 593786218, 968305875, 403958043, 1036163708, 950653396, 67459176, 817682819, 344479255, 466523369, 925558803, 970219444, 649274942, 788898350, 435173918, 621651491, 382236580, 808361753, 501528830, 749809506, 411597839, 238612417, 49865243, 579324299, 304814850, 282838299, 253176882, 963980960, 259485358, 516580920, 332637715, 1041875532, 126471159, 962154457, 295739092, 676840093, 134577390, 521039421, 881078063, 431059954, 887293340, 158059046, 712161495, 813201652, 820170040, 862964208, 560097734, 591875050, 293730621, 866745174, 859642242, 772083268, 42699980, 643079269, 133332840, 883830918, 717112493, 874558886, 1047162269, 96207029, 706031963, 544849510, 338320737, 239806546, 328844438, 308967294, 524414383, 262928677, 942034456, 1004742427, 453307384, 590823844, 780437880, 742770000, 964497998, 338887144, 65178092, 198915960, 44184250, 423190360, 200106066, 398314862, 185966065, 522993665, 349463783, 935670479, 839462823, 184117720, 834120489, 991962570, 60236004, 202857464, 694533373, 252518824, 472342178, 37595901, 36333351, 204168976, 721818380, 713186211, 598490683, 115620672, 363118571, 325914187, 748699828, 588146860, 621325585, 403707390, 671572862, 58887477, 357056069, 1058641747, 620480908, 455704860, 287070686, 486585871, 841436912, 144547656, 908574865, 798025504, 216653637, 666822520, 189251918, 586637605, 11654029, 60979051, 816187318, 538327045, 403245817, 829340376, 192024834, 1013722511, 995352520, 558902902, 150201478, 37279421, 693161191, 328605352, 1056951757, 609623449, 455500248, 470375728, 641920561, 379948401, 785620609, 321882884, 158403697, 879505453, 535662865, 869230780, 570386519, 502507943, 225300201, 1038315789, 117049524, 723599371, 720811377, 26621807, 283530762, 50636873, 648259847, 725785649, 1060022172, 55596378, 993276659, 201584274, 158089752, 30807634, 441252088, 845810258, 1043627304, 756956635, 589702740, 1040963248, 367248528, 969969467, 146418744, 716857671, 917609052, 83848844, 245385014, 82038659, 856017865, 348282803, 782204069, 943332138, 1002686188, 556536040, 313365180, 153076279, 464494118, 322629523, 925151851, 991937424, 875787586, 163935035, 650086295, 986331305, 177995888, 592983884, 7639635, 954159191, 48742005, 401515649, 858396027, 1004849998, 352748381, 916383634, 626675644, 765775853, 361135634, 22288194, 316610093, 613646825, 300879488, 49495222, 998571228, 221756239, 643344138, 178868848, 159319014, 1012913568, 628256307, 361875259, 183028252, 44310843, 1001451012, 270063572, 423373179, 517956711, 1052460720, 771845165, 156439721, 295327258, 110166312, 82121013, 912886782, 376707961, 705525697, 884352120, 373737314, 412466532, 72436791, 732058072, 451799642, 742872687, 192557495, 988854588, 45990752, 59827955, 541914119, 523033508, 153128871, 249512611, 322041991, 587450070, 952253564, 810190435, 603508561, 767143538, 222807497, 203068443, 281820319, 24614624, 804673290, 137491345, 769614047, 310831555, 91642037, 1039528631, 226882206, 538838710, 932688512, 909610528, 295963328, 293556628, 264939888, 626658416, 782107103, 939811273, 566020823, 182372963, 385705488, 849062712, 313970388, 1064378780, 347521570, 319217600, 996853658, 273330681, 952168282, 421163620, 351029839, 249968552, 276834587, 596573849, 406231487, 350134148, 385574973, 644324583, 182537686, 12890321, 541244319, 581107824, 860931745, 1067867946, 348578087, 257422561, 326968937, 642334250, 35695684, 768911258, 588028550, 274384047, 85571147, 77456853, 518210555, 403946022, 412219722, 996223321, 940393911, 635753354, 943334027, 1066653791, 1007836738, 503424376, 735583791, 265814507, 800650399, 430398090, 773599484, 645556592, 246039794, 582616818, 471745468, 1028496490, 67317884, 836249704, 963519271, 734924953, 844536495, 54977659, 851301822, 812163897, 21143804, 1284055, 922848485, 122878043, 369084908, 377169093, 51984735, 471518319, 940667993, 153298346, 336702014, 295961681, 444487794, 195686797, 770060450, 499606956, 453907174, 377198356, 617741827, 387134336, 838879317, 816858060, 419176788, 707807565, 298278018, 1020684210, 1032899098, 667435129, 964572516, 763896495, 762396220, 79305424, 194373671, 416661852, 537458482, 839195820, 573529154, 1057032965, 398860723, 1045268687, 538766122, 123689598, 113563742, 1064715059, 458629549, 337177269, 875130918, 806800788, 721069160, 773938034, 109364552, 611744801, 25183894, 1016671993, 695172441, 534056982, 398380220, 558023738, 413900700, 173327565, 94776656, 255800594, 100170726, 182183275, 654209659, 424293508, 415385233, 415156967, 286458964, 382972192, 347090479, 241340669, 37945243, 498963339, 869111726, 651212237, 1008554936, 653642517, 690837945, 418094446, 363881185, 598899784, 408714376, 138926611, 382251962, 211780818, 493660978, 313344269, 981276839, 401125598, 918558256, 878790031, 745624603, 445666145, 916158212, 220330145, 539372289, 1022723174, 958880368, 1032148232, 989929166, 932415140, 870140518, 432816598, 166651692, 276516437, 313239100, 990199640, 270356888, 242882606, 290882380, 381225472, 268053071, 821693806, 607969784, 472806377, 738044657, 665525194, 850549127, 1073226239, 885050419, 809884902, 237453434, 781376794, 166675726, 391351181, 253969324, 121039195, 763703304, 442562328, 1026836735, 765406091, 274634266, 52587351, 894353617, 901726458, 62344222, 406125298, 367725994, 614891097, 315055807, 76641691, 964998879, 318251544, 407401085, 314440199, 168254858, 917863934, 735390052, 172089628, 581382218, 192015641, 373505978, 139210462, 793221093, 987147962, 634978881, 242615327, 160277080, 478223199, 899624851, 854309677, 689531257, 587228530, 307890062, 867348025, 277282130, 408485, 638753740, 463919500, 770365746, 1016399694, 292191205, 303479647, 934525473, 926170580, 96805326, 394290649, 765637559, 441752879, 1005911364, 161568521, 104128116, 555629501, 82037812, 171910955, 864689595, 296734627, 1000170711, 301619979, 673344311, 1013355551, 211581151, 800847544, 280133253, 718203788, 560416930, 286165744, 728921609, 794623042, 341049770, 830800084, 640897651, 536055306, 149113962, 226333127, 733828831, 911154777, 203689672, 355354903, 746850876, 742942434, 179744501, 607984602, 793849615, 486280284, 306419651, 142787853, 637628446, 968013853, 167574040, 426622950, 495038880, 843510018, 433892072, 646569701, 65435498, 432681314, 1021007872, 107801209, 710849576, 784107052, 516623928, 168520454, 981592861, 133989933, 958087550, 431068634, 922715233, 760508274, 221590527, 1066052719, 452810640, 850746920, 450575302, 736095729, 306719847, 771325523, 617190901, 554713114, 577463890, 466674899, 494876423, 316189387, 485350771, 651932796, 554225936, 420669859, 739454005, 252063190, 362568984, 62039223, 946757658, 324392653, 836879222, 225432019, 517448264, 848058240, 345514488, 734925441, 109392635, 969473953, 161263597, 549441993, 399255115, 576019441, 62130539, 783266635, 482901915, 772573977, 880918022, 976900038, 767170535, 1021259049, 1002012619, 386752098, 996066728, 747076010, 313051454, 619280475, 370573694, 883763529, 841389609, 161047383, 644036659, 644053740, 125359245, 105192626, 822522525, 87113370, 984366325, 640777113, 454164473, 350455873, 127388575, 282219425, 913236361, 76328580, 1007189891, 15639187, 390184138, 769853591, 866821919, 272272813, 729276898, 30784230, 777963349, 260344360, 929285863, 900386088, 245000438, 41395415, 464631687, 912599727, 563039970, 347548251, 512705085, 105619878, 299591795, 721990819, 529422159, 595027644, 281499364, 34428551, 112886928, 46541888, 914751332, 589091601, 554185788, 423416104, 729428928, 336254545, 994122882, 277460354, 390985915, 1052407885, 348687402, 916736075, 250029140, 411999741, 978098954, 90110699, 149955355, 895760319, 945829523, 610004035, 700560509, 732257324, 865399017, 420957162, 991300067, 990936333, 206082814, 140096011, 313754311, 71997972, 554549611, 336548080, 742292701, 80076399, 1028820614, 864817945, 609399313, 237362710, 490090460, 512993485, 1032015022, 458260692, 1039240760, 900410108, 691096323, 799580552, 480522242, 560884199, 171556252, 1035454155, 876988795, 220866914, 793656887, 207325109, 68643867, 256819688, 292818194, 515240476, 503653659, 772777599, 355236877, 480101414, 317755736, 19355047, 126111428, 904060519, 944922304, 870546064, 47158671, 838897896, 812868154, 439422153, 492791958, 488104244, 492024641, 845180739, 717449952, 233259367, 234333722, 910301007, 218682578, 431938080, 485170576, 874505657, 801858397, 301251697, 341940345, 1072961196, 521696474, 719585224, 609252334, 315324578, 505859817, 626894427, 814555707, 889547939, 890660668, 81030404, 512290742, 836212843, 738859397, 229016154, 981868037, 203600641, 526553036, 730406629, 1050729870, 1026500434, 1001748003, 513225459, 975451163, 129027833, 635168923, 380806248, 902118185, 708828130, 389289274, 291522582, 495049294, 587391541, 492153658, 678547367, 842465543, 479202057, 1049830074, 521470489, 587177760, 947762472, 498891020, 187664315, 111043237, 244031344, 328147194, 427173172, 477145196, 1073314421, 306043001, 577297072, 674315570, 138338148, 572588554, 522345728, 455748738, 793316040, 267026082, 341412136, 930479875, 406067046, 111530178, 15309337, 1015347871, 67266990, 850906158, 758630917, 948559962, 986774666, 799459778, 1004363865, 638260093, 33639646, 848681242, 98304689, 1017954789, 995015724, 926697226, 866199624, 160021600, 458824062, 763903565, 469715987, 921582798, 540506308, 563402485, 126673568, 281603899, 113250587, 284345790, 825173617, 779247235, 472931919, 212599816, 601622251, 241409257, 522887043, 1027823301, 280282838, 513437776, 308943125, 956171668, 311105307, 606831596, 544058027, 1050146898, 45138072, 1045288384, 95461697, 695339898, 954719781, 926945529, 83083790, 328982063, 893271488, 490495080, 221509796, 718464062, 739111815, 95444108, 1055513327, 853079578, 197516398, 50904220, 774320577, 290690663, 539009334, 936170040, 934550237, 921564608, 277806765, 543551782, 436277113, 322323781, 557928633, 549705135, 584731236, 8730895, 773960299, 281217339, 291025791, 877419751, 538460172, 174494545, 81736545, 412710453, 633516350, 240332926, 619797158, 167128194, 954122465, 38802683, 725075566, 87777623, 623696835, 776143058, 726249085, 258322530, 916203701, 134379405, 579384091, 221596740, 27293974, 976984170, 46429364, 911561060, 698115382, 780659807, 1045452608, 555284608, 798632137, 327352875, 530865172, 899405188, 1030808168, 627756608, 958900010, 403070089, 848334964, 152613867, 720400696, 709668209, 754290297, 580297173, 196581731, 660538277, 313920713, 187261942, 759405228, 195637043, 406514610, 847132730, 698997256, 245977113, 629250606, 536147988, 533257609, 806284836, 610902264, 153460591, 996068295, 761448382, 679735516, 43621548, 364729730, 908610298, 594183136, 229921285, 971154353, 456877295, 50027228, 696060545, 172905930, 237918452, 792986818, 358893268, 537620795, 846120512, 318237637, 848450689, 768979489, 429473826, 960800931, 372595323, 950261120, 432638474, 649694985, 972278719, 88754186, 250275563, 83969583, 640590133, 982973292, 205496227, 394885010, 171201311, 524578719, 180110500, 436398768, 648709253, 700974267, 449178638, 1041655919, 583800988, 489905332, 1000379329, 61521584, 571670805, 887440289, 2700932, 1029374127, 404150734, 760970967, 844274199, 477455819, 125837032, 926316072, 891302885, 901652836, 816640733, 410090152, 1070211381, 563797868, 941447138, 489290033, 974281285, 719490614, 384608370, 1006921842, 813313567, 795322977, 83617254, 866378348, 752018789, 42298556, 642497871, 235938273, 586565145, 1016807843, 473174750, 332895782, 320113156, 1058190453, 326259143, 906938518, 524602185, 846323683, 635930670, 697988742, 341597947, 77231805, 745682702, 210924312, 1061877390, 138339493, 583214848, 419575659, 251493641, 380764841, 1052536278, 289539371, 998700853, 403131713, 348995139, 142474933, 122214061, 512702264, 16686564, 710843309, 117027304, 1046753571, 592265148, 150449078, 442661901, 356680591, 21701355, 408019385, 566345983, 816462046, 776229332, 353478270, 991916553, 644260840, 524364961, 553836566, 434750717, 1027823344, 248847013, 261395205, 726122640, 189299890, 863971891, 148297657, 101248980, 291919847, 744331094, 201990968, 398684344, 443117690, 581251493, 610462117, 760515980, 340378706, 320858372, 824211594, 206463534, 847962034, 365797841, 1033670308, 560491659, 450171378, 557716526, 696821612, 357414582, 836912580, 470495426, 976975182, 394276658, 528373467, 909038823, 77863243, 1011414900, 383929824, 59095674, 134208704, 951195189, 672726644, 673206424, 660828962, 165012944, 320072615, 58856596, 737841147, 824462762, 103343769, 789637816, 557395637, 783968362, 291865537, 686659007, 867316547, 482633220, 370459330, 363410259, 1073081246, 141120324, 8008496, 333177059, 1062421263, 294592980, 55309496, 690523675, 121929722, 206309569, 138614612, 781846544, 1040290425, 727493506, 788944382, 392704091, 994650353, 727741617, 788713058, 864447120, 407419322, 78420864, 694274946, 171053078, 948216176, 848412779, 128747646, 936527254, 896715119, 503784820, 98568955, 143538931, 985743572, 57171438, 123699825, 123698919, 907473147, 1031049481, 362805208, 358768329, 99307165, 803513011, 885600340, 768489846, 530377025, 675840423, 714833719, 996987584, 982976191, 318836153, 156610562, 31293448, 108949139, 493601417, 71561383, 493761184, 557131772, 960046442, 538522721, 165645272, 81986214, 290445053, 547187605, 192059602, 864654126, 858613070, 923918887, 507234396, 297357204, 912283169, 96888295, 286587179, 1052928, 987390657, 805082528, 856707045, 77888557, 581845489, 143263292, 422850961, 1001085177, 520793760, 195420856, 292309704, 149125126, 1022784196, 367009950, 944776269, 371586555, 854744077, 21505657, 85773952, 233983394, 71909837, 360811004, 153926884, 139525779, 189709755, 1055403023, 728829114, 264946647, 1030028689, 850694727, 1035992081, 939252093, 680869508, 538487901, 102684421, 104696609, 556377608, 931415490, 873150538, 627300277, 68262956, 835410622, 647809473, 452450658, 634825830, 516309279, 1022752607, 253787656, 735589508, 1054431551, 773977082, 404433091, 145962877, 1008561520, 1023877816, 398687380, 1064847850, 498170227, 347187263, 61515469, 1013632809, 581064119, 1052007257, 1068077394, 196207104, 251550982, 362719363, 912727497, 659741394, 377537045, 1050707998, 724013260, 964986641, 708942374, 821998590, 1036555147, 581508263, 565059937, 257539852, 119246840, 781699549, 355980296, 184851505, 732567733, 38520610, 1003312036, 277860218, 153615422, 874484631, 348936996, 659400154, 85347925, 911030499, 130378575, 521018857, 532112031, 534430911, 735771451, 67308734, 402104543, 959452136, 739107024, 92148479, 390620090, 3229128, 460609195, 1052713702, 343112649, 1001967252, 862003018, 461830298, 1068191061, 917192788, 634047843, 889392567, 807345843, 329790229, 878798616, 931606373, 780432338, 215413984, 341733237, 760810122, 6240676, 258856360, 58285577, 707595585, 899451345, 212733869, 249522230, 612904049, 947410746, 327798274, 580072518, 988648373, 949051718, 42072609, 501170589, 321892748, 914452294, 572164304, 341243717, 241448476, 1045057871, 918021538, 710840666, 861626535, 474118174, 731860028, 984053578, 210989565, 503179647, 984228371, 258845647, 156820006, 389926908, 164188438, 244070512, 992864055, 147046987, 573370502, 1019068562, 974262441, 578379197, 72776730, 560830320, 687755526, 878374566, 306994631, 963962823, 591585853, 1056915682, 570187991, 268954040, 472008272, 931180866, 1023588464, 575591390, 1059892599, 945682938, 915401200, 777746761, 476632720, 711515934, 853383583, 517891444, 1070979586, 317441147, 76355601, 199167724, 601073700, 696893339, 683656396, 879479446, 350958153, 56999412, 92240937, 592773354, 167670248, 487276260, 512289484, 67151096, 639535799, 552843405, 659961334, 1033941141, 85653306, 355835922, 364127730, 115043124, 140850505, 516747316, 915844726, 27847732, 797123886, 949476309, 471260421, 943125698, 891217591, 843586099, 876976272, 157343900, 336050176, 805756942, 975762428, 541123537, 664367498, 381637493, 234851065, 22168529, 730300367, 326190349, 346050917, 247191035, 242463233, 780441414, 253907171, 42631825, 465943235, 872040722, 27328910, 649715427, 458832938, 59898802, 109271253, 899912226, 893761843, 98516272, 858052492, 983231024, 201644176, 559012605, 180326619, 83788962, 348175647, 57143063, 257108217, 430385878, 785680220, 201776160, 506671312, 101900625, 24489043, 586649984, 109204154, 1043426448, 757566496, 876517045, 487125700, 352640113, 601753736, 793420385, 696769196, 871633534, 41234380, 151882252, 401828548, 772211287, 184752749, 487648402, 415682806, 740837595, 678497099, 266614133, 147954683, 779746973, 557816384, 245315923, 934141214, 166432282, 643558077, 821317501, 752477222, 1049665626, 254933244, 871572804, 711726136, 203010408, 607811751, 112252740, 769003124, 569863252, 137229722, 597132062, 94589556, 221242173, 474118555, 621252595, 397333851, 270597382, 672161633, 689160573, 775650653, 370428177, 895178185, 1021376059, 1017497366, 217838673, 827568685, 138731236, 613999314, 885797542, 805031986, 708246188, 730927742, 642292567, 522480345, 697313664, 800884804, 130351210, 715387705, 249048566, 106088597, 828642733, 478591066, 693732615, 866088248, 189148331, 136757735, 1024751349, 442988729, 1053710183, 631210583, 683800710, 889431180, 336638634, 243695, 1004189273, 194505347, 783207148, 233636023, 329065375, 991335541, 506953198, 577398025, 314171883, 506346747, 53762515, 47896914, 1012999800, 494651356, 875380037, 304043169, 540291121, 151406264, 1014827772, 447981875, 914105800, 538957165, 990508425, 410926874, 255827422, 709073857, 1011612921, 389742852, 698483748, 103593144, 1068432325, 628421526, 891883156, 235951652, 425763673, 706521733, 858787422, 430408844, 1018326432, 932805400, 893206608, 546970792, 264640097, 514430075, 606316940, 871688727, 496170075, 576966586, 340470181, 428942996, 612510737, 880027661, 100182, 841335768, 574639859, 653322739, 646379250, 152268876, 872121504, 476712118, 790916492, 425574736, 848580878, 628886113, 875229104, 629925713, 40339480, 413792091, 924355336, 469087597, 315772618, 447512012, 692774097, 113672453, 184932577, 900920625, 282897351, 459847922, 535565568, 471063840, 32844872, 627645781, 875969890, 720432903, 673180975, 446338374, 1038970447, 3552719, 612783131, 1054195937, 444257706, 19444367, 858068767, 267178690, 643371006, 491038873, 293857420, 817568037, 624375568, 979471449, 17904730, 617746406, 635029492, 45611069, 98379293, 745175660, 256932343, 862331001, 747585322, 983911892, 127702048, 882162905, 85309366, 724318157, 876045838, 55933527, 709566263, 809826725, 493299732, 391146931, 958495602, 966714275, 641162237, 448151734, 374179660, 950443593, 330423160, 875441730, 223835314, 135550858, 866381231, 920485818, 626988980, 131211539, 297371292, 53607734, 1060498515, 455196551, 142986829, 414133508, 668520150, 629997040, 95692511, 17910990, 39370376, 373744768, 780518224, 717326893, 365509695, 1021130302, 446739671, 926195390, 553634308, 633867646, 798030814, 9518160, 716094186, 330376869, 31959725, 812817356, 830397094, 105017513, 132232389, 334321255, 141247377, 44922481, 667291681, 642642271, 789516589, 806599324, 235594817, 42949544, 991948226, 645376834, 110119365, 622209228, 229009308, 922471015, 607452881, 950440543, 660610230, 173785509, 623615828, 919715100, 859643229, 922020288, 576550049, 211157786, 569143015, 989157218, 114091065, 266138692, 487372419, 776553451, 842033275, 549900708, 3304857, 1026063733, 843975458, 640405793, 707435166, 452979788, 187148873, 1002178648, 304272831, 641037757, 795083055, 551302165, 554436852, 1015651810, 767695402, 187377853, 173902945, 1032388129, 636547259, 866662237, 816973370, 852345691, 174356974, 369724358, 296832391, 557741917, 132029128, 974097909, 248500932, 461932929, 445192366, 119241676, 680095134, 928910958, 967513382, 768467977, 1020349421, 383473128, 757833323, 568005986, 616120970, 528153919, 176478795, 182096914, 174408743, 790634615, 304923047, 972970607, 951448438, 131277801, 866574303, 337250672, 1053003913, 553543569, 859856519, 438283510, 325345348, 47638543, 323918653, 597489431, 67625967, 636269983, 464119171, 413897624, 725148130, 734416732, 973823217, 740477664, 905157575, 881338482, 4416724, 380950482, 765499271, 483635334, 995211955, 525842198, 252472603, 330870978, 678556840, 506090153, 703870704, 667460535, 81366754, 468158404, 714927162, 886519839, 830691943, 1064503512, 952319240, 282239609, 1072473986, 90705998, 704363577, 433772830, 687233235, 875693069, 694743299, 908032907, 116660703, 26029535, 27083107, 317964799, 527014231, 1048677440, 1006128946, 563072379, 409186842, 733293316, 706543871, 306059905, 547612345, 842056032, 211010190, 220701039, 193647656, 747101209, 349099612, 560024455, 862701273, 584220099, 1063819063, 901092682, 1041011866, 294908262, 558424261, 928446355, 185153046, 978122462, 374530555, 533319116, 581084748, 721368013, 570548560, 972236772, 179368007, 777212217, 236303019, 915788061, 737052485, 33177656, 83519945, 879641009, 899145470, 773682867, 584026731, 138426155, 714558330, 845375790, 105258792, 626252653, 730931359, 774134060, 446105690, 508686410, 91508018, 955536985, 1026710725, 587331648, 99660532, 1060687829, 260748236, 340484556, 782376725, 219395940, 760303762, 985608263, 308612382, 837165720, 572749874, 432243039, 263798572, 743550791, 212854395, 802658761, 628106616, 644849308, 101720835, 577824330, 869763111, 18171774, 1008116480, 57562422, 105294263, 338134804, 160063268, 409555934, 517536332, 816453355, 637234563, 508465682, 1126490, 1049652969, 922023803, 1066683412, 167937063, 599860599, 629007556, 1050415897, 1035096174, 826720160, 385348600, 658094699, 27109136, 954496080, 1068542749, 9645733, 786750612, 245586809, 70010616, 914375513, 235851866, 518611338, 925772838, 750227943, 1021666217, 282623573, 837856989, 883057388, 773715339, 766506724, 768346300, 354782542, 839092118, 882418638, 579106489, 677438591, 879141085, 576880381, 471512247, 671156316, 920953904, 547602677, 181267625, 6490862, 999001528, 170726026, 81393415, 996182528, 964084105, 329834233, 478205182, 558483873, 439780999, 743154139, 963181294, 22163843, 780556681, 113458674, 281467646, 658303777, 384492326, 67942899, 954706229, 167777374, 450116987, 443864305, 201308212, 853922, 767799561, 902640658, 281030867, 192124995, 523141951, 606153577, 803356757, 43477961, 856890128, 9807203, 869847639, 658457486, 738364101, 89070783, 818969757, 1014903118, 449747361, 914640370, 195140964, 221623844, 1027395154, 905567963, 712308065, 687946800, 952323411, 1000539583, 617989638, 862394919, 57278191, 189510420, 477444648, 135916551, 828287595, 285171325, 1046251375, 943347922, 990466815, 876421856, 1040168500, 861480881, 53403136, 939351988, 239419429, 53405242, 981014308, 879856109, 615305725, 786280390, 880744539, 270261899, 124066305, 378719299, 270328430, 38612432, 305051513, 289072487, 997699588, 70267687, 787876899, 364988606, 966739275, 357075101, 213061255, 540291282, 160685002, 728793356, 440241897, 120956014, 85802581, 420272385, 443020818, 839810985, 389788407, 24115562, 515423260, 940776373, 850367732, 310259251, 199568651, 888682373, 250102500, 272878249, 113483609, 1036891146, 1003200415, 714602819, 74301664, 941370081, 667217405, 687461775, 456498163, 681865454, 122516027, 377113176, 101701312, 402194174, 668910487, 124875268, 752460573, 642469853, 405917745, 67699950, 357173083, 142867047, 948947232, 643727883, 260335852, 49679577, 1014438596, 237122804, 854325049, 556896900, 88308553, 983266960, 863928288, 193966563, 240860885, 494301114, 696528664, 665928358, 730671991, 477094183, 436444504, 361117935, 117146594, 652501438, 9505352, 75893078, 1042524787, 116013598, 511559078, 18843953, 448019842, 258101559, 226086141, 966714337, 777696321, 564927485, 643584007, 84489141, 1043977517, 338911861, 302501053, 534329115, 104396911, 534782370, 1029345247, 655720181, 950732889, 490649805, 452118196, 52977997, 284908857, 1068768903, 808663208, 136237970, 1061631900, 711579185, 774324151, 612124713, 885887100, 254490674, 968602585, 721193626, 208262343, 968064597, 839534818, 895955978, 27157655, 557162421, 669094966, 288433636, 865134941, 152274944, 255524069, 814640743, 685029078, 262423889, 365466634, 425856906, 717342593, 530441274, 435121880, 943462074, 717866497, 649642977, 357645544, 489795184, 611180319, 351707650, 1002817688, 992464967, 488029664, 873301787, 643533734, 922145757, 730571066, 849989376, 443212020, 751204461, 794904966, 898569121, 404347089, 607207590, 693079445, 430739563, 664251797, 695396786, 49078196, 295595827, 792938259, 951680083, 835940058, 473339586, 775974713, 52697265, 1070821486, 846880310, 392325690, 609868099, 788538298, 1025952363, 730715779, 11836824, 160231433, 772448588, 519348737, 591906716, 702998120, 44320693, 1014793058, 328554269, 529058204, 514943414, 65673502, 422388786, 727358722, 509961086, 127460740, 46798567, 756198058, 738559358, 412489865, 1057233558, 265250245, 876352441, 528632969, 120583980, 415867061, 395080827, 340836451, 1025806514, 478669458, 152603144, 772771048, 547331399, 581569033, 939169362, 139243546, 825512435, 462124702, 93160332, 850945560, 894291691, 716285687, 913962640, 567781687, 983690616, 178994913, 991905859, 696374527, 240930337, 709507334, 365862090, 1055838209, 546944147, 8671470, 554357064, 929552734, 576077522, 589108516, 151899313, 505539030, 635639998, 588038043, 83282190, 927754744, 409255344, 427372425, 1036544880, 98222457, 592580692, 1072550396, 813056799, 963085060, 506012159, 206707589, 103975080, 353058967, 552528283, 253384326, 1057077821, 520101920, 32356779, 227441856, 991293119, 1030252281, 347584742, 665178250, 695550666, 972365574, 1059937370, 192450245, 435177508, 1022542548, 658928075, 305318714, 717035759, 306664158, 253069783, 7470160, 252317914, 435628925, 429536119, 641446850, 161012551, 66403191, 219973055, 378091579, 406317551, 704154594, 578096310, 482048768, 1042783096, 237485434, 104853781, 147469548, 37070685, 752847913, 960708607, 579719092, 1030039844, 444369916, 987256117, 543548941, 800132530, 647224031, 668874987, 1005943002, 749014381, 918706538, 930616306, 37377957, 361856635, 1037926356, 111447959, 38756578, 476249580, 179633603, 54977729, 1032602165, 785959504, 541277170, 708191245, 650414792, 221655438, 412407081, 33418860, 328595457, 62162255, 2394210, 516271370, 431905182, 161582819, 810064375, 472450593, 766430134, 250729395, 497369268, 183379462, 288891885, 281875021, 588729946, 865039826, 270273086, 970820102, 447778455, 905011331, 25826440, 369546070, 1011121602, 946229366, 108687807, 436727382, 690714284, 978063900, 762330442, 446225876, 847374098, 142281141, 846484560, 55383292, 829100700, 732158886, 291703050, 351487190, 1037075512, 756885845, 274515211, 512775353, 1026257950, 178098471, 86951125, 404702731, 1061392765, 748145992, 923008441, 203549803, 558075918, 694367731, 955273200, 505731850, 138174725, 990095292, 204947366, 188511435, 11890937, 44909486, 959392558, 489459517, 735122944, 1070547703, 237881277, 712794856, 758275122, 180020869, 84039543, 594600028, 784854861, 257718867, 213426040, 852627097, 929241285, 90018272, 712602126, 149261807, 1002036801, 797330845, 731931888, 172888987, 164084211, 461851244, 919076723, 30225124, 723134838, 472863888, 361379736, 28634564, 120883041, 1018299105, 408265875, 343774940, 114671501, 179242472, 706416390, 188456608, 579404858, 222135318, 581868555, 522941741, 389419526, 305031884, 311533880, 734307053, 225066592, 654101624, 836977748, 768198308, 331000306, 465659881, 751095663, 1071321255, 515884146, 363158875, 403994250, 1025247873, 308774558, 961963311, 230634618, 113530398, 175032790, 330124758, 65622916, 820533249, 872626252, 900346729, 772767504, 701640849, 742872648, 869921661, 330423607, 30985147, 1068625242, 687780301, 473609251, 1000945286, 658473900, 425031663, 1015039692, 357387223, 1026679042, 404890861, 72470453, 548883196, 921332374, 294932084, 459892110, 98684483, 728746421, 808471134, 881255777, 210075983, 690794740, 281573498, 852603630, 700544242, 328492549, 674414380, 130942143, 13232445, 683315832, 742490648, 740934666, 970578671, 50713123, 870125108, 728932609, 981398209, 89898831, 201161036, 582083434, 968097927, 346781889, 867674719, 220139984, 812352662, 324982021, 979242083, 171023728, 965347333, 432255017, 302498208, 116888162, 722877075, 722160004, 687453395, 1021831382, 773346845, 965436639, 756633032, 456085501, 757505762, 856741326, 829521073, 632988145, 135404350, 949677690, 350003616, 145000736, 205003157, 905649621, 815191763, 204507178, 686382716, 760932521, 747055433, 309071625, 653127417, 289259420, 356849946, 453122582, 762392800, 549811169, 431646923, 217915463, 391563326, 674156890, 493307070, 639106521, 99923628, 301193332, 441686387, 564385191, 684533512, 42514012, 60776943, 348275216, 1038222068, 552125247, 603423285, 920639137, 505207767, 389888120, 1057115470, 382813033, 768616385, 161230696, 222459515, 1061588368, 211245643, 196068045, 214716201, 524788740, 193309729, 1018690847, 604662919, 181732876, 648659295, 671032680, 762878730, 767408099, 877530334, 1001409203, 209392765, 909267022, 626095561, 227866755, 548968883, 37528839, 432229876, 742085132, 506820165, 838821023, 774709699, 377860442, 231384176, 808128, 911694356, 439912252, 520185194, 440268250, 411463881, 12545577, 677955320, 406091981, 333018727, 262325391, 838878277, 500864014, 50589688, 819204043, 410269397, 379892228, 1030115903, 335045019, 352051806, 149188520, 484402648, 624173633, 980636755, 796480723, 1029139020, 975001168, 382810093, 380175171, 943156876, 590095876, 610927124, 969057845, 749241936, 199296282, 303907878, 789849638, 588665993, 543179585, 881562412, 215173367, 889982159, 777072495, 625462288, 1040109717, 490081163, 393132840, 999899540, 648280553, 470181313, 647334726, 808896266, 291401850, 930908144, 472572692, 43373040, 1009701894, 1036319648, 313445073, 256411464, 371303929, 726915452, 793680512, 352466095, 883172252, 928833666, 663678396, 436919046, 873252426, 613161454, 314386473, 576353072, 62077609, 84299084, 627353458, 277334114, 11908720, 82274586, 746695487, 793369047, 153566426, 947479332, 172780679, 356913663, 1020720214, 606029612, 480257450, 726820840, 635349339, 508723535, 361076935, 93285381, 891627292, 973414354, 102160717, 1064508569, 369448941, 440899524, 164329878, 576573878, 590518820, 615364990, 162495379, 383511459, 791551903, 1044022607, 422475896, 217530852, 387344838, 256802984, 203016521, 752655034, 572764653, 325267462, 727412112, 334673803, 488882441, 153137206, 717707881, 867206484, 83908892, 211783381, 700428938, 888709273, 556771890, 292365568, 814205207, 661330031, 1021368058, 883288209, 16532903, 943317983, 885422017, 210258637, 807723294, 35511134, 38824968, 656101857, 854878537, 1065785816, 232041893, 358862324, 1019341193, 906071838, 593582367, 831309074, 196133583, 1044719655, 343436202, 80110751, 957550185, 520717322, 962846290, 348678182, 662340385, 771935731, 715055426, 1005661990, 960259429, 963359987, 751037315, 395566154, 529552441, 812042622, 947808979, 793704235, 186053505, 885449942, 893236369, 693320483, 495459368, 819569477, 831883108, 621210826, 695021728, 1067016193, 278468085, 961669053, 428380685, 217643985, 104896698, 430504374, 359291234, 50766021, 921885998, 205178452, 204242928, 14009395, 178272567, 119868593, 421411119, 648192174, 902402122, 494619918, 400348158, 875153534, 297813934, 704405531, 208588280, 1050648450, 326748652, 958041057, 375535259, 34938690, 56104103, 5954405, 152964050, 624804151, 524176741, 909446789, 544197795, 561277856, 63037477, 1045802480, 669858844, 975160029, 49114690, 153981787, 454729901, 89468500, 168778305, 135464152, 1002874701, 976431807, 967856087, 291251628, 414393972, 837429450, 351965359, 382393975, 933254763, 296138110, 19265672, 159270004, 487071859, 1022813930, 1051193802, 108690391, 790776665, 290134607, 709718810, 492686581, 611869261, 856394649, 363011751, 663334011, 215173078, 802680935, 564130269, 811253244, 105307724, 207194843, 17688079, 298286978, 386750398, 681707029, 145653281, 575675299, 525840754, 259391026, 164480445, 372786784, 258181828, 865680608, 120112363, 705416228, 110507689, 212832706, 105456996, 887965498, 349021357, 119302379, 928513565, 622238177, 580420761, 701935064, 536991903, 671051126, 80670464, 428015849, 703676297, 1014058148, 532907006, 950104027, 2624226, 24360589, 330118155, 900505559, 889171265, 601553069, 559239055, 632081902, 307255827, 48957135, 267637010, 1863848, 953872790, 725681896, 195347342, 1054241265, 735279394, 1044131882, 369014626, 493064831, 291361021, 574038177, 696848510, 841260871, 548896215, 599425258, 301673877, 504114805, 712997263, 35502841, 366423531, 985399085, 235244888, 353262450, 507994648, 633184256, 705967252, 581732697, 289976006, 1059062141, 948162993, 86520744, 395430943, 1753870, 777839377, 832367474, 752689569, 817453156, 9910982, 858066782, 167007869, 1045350526, 461761877, 197283238, 288551453, 569980645, 950633695, 148345660, 935157468, 949427336, 392864220, 126290351, 677923309, 865782774, 944947481, 684458941, 183215596, 351184830, 115943387, 1022312865, 967345410, 1047031752, 677213465, 4366181, 579467847, 981190672, 218385062, 1054088754, 600697187, 57943852, 769110253, 745959688, 487656177, 6713453, 865164718, 430093473, 868531849, 733606698, 532294983, 331173414, 480274600, 650422412, 297689278, 101639422, 1065209753, 545169071, 524597666, 1013435356, 82375020, 372971165, 1071505660, 240479672, 403509589, 118567679, 367455195, 1059514563, 729241006, 247593286, 359179504, 483768154, 198599189, 867380351, 165669270, 934779648, 408738170, 653555593, 1046725786, 1059065639, 916916216, 111104287, 984965728, 476241051, 770490241, 183764976, 953845900, 632389349, 850994259, 407682331, 256662109, 633166134, 988553724, 373945356, 836918378, 184534535, 741790803, 1000885135, 730243593, 433198279, 261202178, 390747838, 758194067, 848054784, 215214177, 863115723, 962841945, 476351237, 1011204353, 490256747, 820813483, 540718218, 622570569, 213374262, 799458422, 606181187, 256015071, 527995632, 70437295, 353056643, 483150639, 200941893, 11153515, 774848454, 53772264, 544635976, 704090008, 171238084, 787752740, 760272287, 2376793, 488411636, 403552256, 757349173, 403499904, 186916341, 691121865, 853343144, 1036747187, 327443393, 670590158, 337040363, 268583651, 187445999, 972062594, 115483741, 695669156, 979723845, 502953650, 873363102, 970644710, 467407862, 422812421, 436562511, 769556176, 573936191, 155119515, 983175626, 753493106, 818202576, 497720151, 429503021, 866531287, 30144211, 1000672632, 1043195468, 377252753, 894065326, 11805267, 822849976, 329097445, 514234086, 123575513, 769348406, 881512048, 317282814, 528056202, 628768843, 456811323, 495376772, 398227962, 483343035, 821286109, 827177352, 616585079, 755220677, 919349146, 985469079, 470573653, 164097686, 689624416, 65929115, 832034886, 554269666, 932453603, 605880246, 426381515, 231721993, 94466363, 296350031, 782245353, 492679045, 948095368, 924607778, 739789870, 1011561275, 264159316, 381172346, 158092176, 723498166, 412296454, 1000444120, 244158886, 253090938, 694622697, 792792932, 625781167, 906780816, 302909486, 384637713, 771460818, 537930938, 38578683, 1038699678, 397760386, 447876162, 622104059, 530087102, 460868860, 496944466, 669176346, 1122158, 874150994, 361816684, 2684792, 491356367, 126770725, 75932862, 476055504, 890255209, 643399609, 68060543, 535282881, 819868749, 426721524, 849890044, 685883218, 80492680, 560521953, 404239318, 733646468, 788590801, 313732400, 232818392, 694394656, 422360171, 1062194428, 268057910, 154299247, 817732127, 924568366, 556109714, 478864736, 708085787, 941727133, 293537377, 506349144, 220848752, 388812235, 504178172, 1068878765, 721514439, 433896588, 868076715, 553796837, 621630652, 1031979512, 975993671, 19121808, 697885336, 524415921, 469598679, 536355176, 607828685, 1046830475, 1013854168, 1067001676, 268731830, 317651715, 293640785, 214918800, 102323609, 959531289, 278393830, 348300068, 285604568, 158305974, 9711275, 765906592, 647195931, 893148427, 305268728, 89855923, 271800398, 766759453, 125332767, 555355053, 471842026, 832832139, 925478292, 801831386, 175565552, 377755773, 987920352, 960420951, 899752064, 1029637234, 748306372, 140772897, 484372955, 1026815044, 1032640480, 327263102, 803230270, 30025374, 1030156813, 11465996, 697878637, 296059015, 313469425, 1037157213, 353397896, 846213516, 190683940, 150519443, 661709000, 1015808721, 959058461, 132085002, 428470742, 1030282974, 620572739, 562561644, 567804983, 936033254, 70648265, 379457877, 445212412, 130072811, 495473252, 446771585, 910659620, 451701532, 208348490, 23240761, 423682774, 608637463, 644242493, 783968045, 899419553, 9279007, 33811840, 573199261, 595388895, 833705271, 89741105, 604412924, 1022930158, 804428421, 85300434, 428866728, 118512934, 183509411, 648768164, 402934510, 664572541, 574969731, 12812904, 760824524, 26873173, 827772564, 586388830, 1036394265, 879745076, 644388928, 151469423, 229552932, 1062240990, 890631215, 285554656, 171340409, 761784790, 139832169, 433157585, 1056267242, 405456051, 592127424, 186333407, 746527153, 832004161, 1028254743, 906023236, 365491396, 102239866, 438425260, 411997046, 619098509, 829656820, 162005287, 732778687, 861328515, 164970454, 793132511, 141455665, 821886921, 261693156, 733177676, 817412656, 315630069, 856494853, 793027700, 694170400, 546043488, 130476658, 791821156, 612358338, 901948819, 186690161, 261624032, 838384357, 627704093, 490488406, 668825435, 870715235, 122478388, 964187722, 932960841, 576341626, 690956973, 802373600, 276335634, 857429953, 637182711, 597147604, 936317544, 561481558, 905006534, 216950847, 773369687, 913595017, 808869818, 508935589, 568175159, 908963386, 886938744, 534302983, 741895721, 51367094, 700895539, 226948910, 845227638, 248593280, 104501375, 282244865, 749610229, 365078090, 60647631, 556485031, 470137299, 766759489, 905746476, 882413768, 335529669, 217078841, 1055638483, 731608161, 1021988851, 852360642, 44014766, 21809944, 505401854, 367831504, 835092007, 321331822, 971428500, 1026206678, 244315526, 779295898, 670576168, 972892180, 506804069, 17808101, 369912144, 194876957, 139130707, 921002853, 780194528, 363098876, 876261918, 783647632, 257057142, 117654365, 437988422, 905412491, 500299749, 387027100, 73157906, 249088912, 602876564, 720510546, 883130522, 920013553, 565472830, 192548477, 880910940, 598926117, 37330951, 157307696, 32874542, 416049261, 328288114, 311388246, 792937050, 513866535, 413620343, 412339864, 698602858, 783471948, 496879562, 1013611972, 475963287, 120345698, 429464378, 496258818, 816452860, 97201594, 545031180, 274043834, 918338003, 1056630435, 383719524, 1062730864, 874665113, 142281634, 1038135795, 782287882, 1051740324, 857667976, 660392424, 978475804, 800670863, 512521644, 851202374, 359320811, 169450709, 815137886, 376436806, 814153981, 351048398, 85467218, 756450929, 149815788, 504828217, 553237820, 40624730, 837398485, 811551155, 9517563, 351705055, 460743887, 553850640, 557778489, 202014421, 165707499, 331874289, 940361492, 801871111, 943885234, 1000338231, 175950934, 522007696, 981716289, 319954316, 256853947, 879552692, 309913757, 257369177, 847819176, 822658580, 876226652, 597266924, 583713028, 398485087, 493739543, 5406716, 8870938, 554136742, 994562633, 295353884, 771973430, 433173726, 497589628, 541306080, 834701082, 675678100, 633313319, 465463485, 229098926, 892651520, 64195706, 376718288, 779423599, 236526315, 75269974, 488270580, 200550306, 735084842, 892825101, 459352355, 913482830, 924666932, 146918674, 817313468, 539470429, 669045292, 279026266, 454045623, 968530668, 872658160, 747687825, 1060154540, 91053171, 572086461, 578099542, 331829588, 532970639, 425953615, 516172628, 534288243, 887018343, 913061705, 909447917, 323770847, 1023870130, 199013076, 685667598, 1040833912, 24032840, 751688801, 1015668747, 872536581, 114792536, 357189858, 57685560, 289906062, 683026795, 684982807, 934992712, 238176574, 267320397, 849419108, 631987249, 573796706, 439536368, 326928477, 635013264, 884555056, 1043174948, 568524187, 720711311, 558631223, 760097927, 498489692, 134616845, 873885298, 853734273, 85371565, 623013401, 1053948311, 9360194, 734144083, 623924118, 908455730, 54344326, 265509775, 611259201, 786000141, 836123950, 428767967, 823655617, 204866428, 863900784, 933951921, 476170885, 396124435, 699126907, 213341345, 742525966, 608843113, 259736067, 786100836, 1002533410, 364811789, 260785935, 11230918, 931787745, 938383991, 180759456, 526994293, 438935101, 948185061, 112440689, 698731578, 583955408, 408696002, 537251166, 414540601, 573449998, 347473455, 330493234, 945877185, 915019013, 755396553, 338238871, 544476468, 588684650, 915409356, 1038512024, 1047867519, 1016631228, 344396040, 187715515, 1039706234, 298949084, 907286306, 159700728, 100441160, 410644346, 556037229, 824709999, 168814356, 388617877, 400203047, 628623414, 588722753, 313873298, 626947199, 594859467, 400763441, 298488626, 746790462, 491477872, 966000164, 304223990, 633776642, 86224005, 1012817860, 938396745, 1028880592, 15263903, 838731605, 773499303, 644254334, 460370318, 602292942, 24452945, 943554929, 951516539, 158077792, 48256879, 220531562, 665878901, 98125157, 968968852, 1046986876, 473002859, 347687857, 884698945, 325520041, 97238222, 1005968921, 667662016, 951776238, 653106768, 43118811, 192988540, 257119850, 177063350, 915923789, 908251008, 117039118, 816292136, 769176582, 797303663, 438373007, 775307085, 1008618746, 663707568, 203174181, 60293161, 439775023, 1001249182, 398061085, 650368141, 849676010, 510173329, 585562051, 639698857, 17059415, 205777725, 733561061, 306800193, 375511009, 228881401, 737056528, 134786738, 71980937, 888233592, 1054260901, 532959020, 215503859, 1049699561, 1039772427, 594394627, 75385499, 1009016057, 907992515, 81399820, 1002445194, 330895768, 1027205493, 840459681, 639851336, 389620313, 747771592, 440467320, 665636009, 153372378, 817376837, 674347494, 293929119, 863895345, 932377204, 703230512, 639827487, 1064757718, 211822530, 949948614, 761755282, 113959097, 48909233, 56843455, 518522676, 117657900, 481609017, 878699521, 407515437, 980108573, 450564188, 937438578, 374603460, 674333012, 945284239, 883624833, 498838650, 978393502, 721009097, 457778155, 219802090, 778534818, 535479460, 797687443, 825961168, 212275440, 466694770, 950430016, 641882046, 854113395, 938756022, 740974182, 742584546, 778729027, 910389953, 440693659, 339812942, 857673753, 585499001, 580664928, 986639292, 490816289, 447625769, 683575058, 364371772, 286431819, 479976411, 93316241, 793571893, 671394787, 515504982, 202490924, 485805820, 190040127, 591894239, 548352168, 4354112, 307304050, 107051263, 972989741, 660405220, 1054451628, 912967812, 412360940, 567612765, 333273497, 516728005, 596834831, 340580942, 766651602, 813127045, 451477325, 499681206, 536900553, 194166815, 431440104, 135898671, 612467169, 912482473, 716938574, 906996738, 8031620, 386848072, 349071572, 132431369, 333637232, 750101670, 402694387, 413715, 701926991, 85356361, 493789728, 769565325, 221238622, 746823861, 571488962, 676235645, 207694743, 456568291, 166536853, 200116195, 1069493456, 13342798, 297335776, 967342725, 732896176, 263886772, 600734409, 1030659764, 972988553, 819581758, 673294333, 788907386, 866872506, 734118155, 81257463, 314716477, 73126222, 143576060, 709787435, 826579820, 434814544, 251037080, 189654601, 401588632, 732204756, 303172452, 286806779, 1049568994, 773886419, 416817136, 210128857, 278047393, 518885691, 563339456, 872629319, 480444745, 764803439, 1006954395, 810422594, 670209660, 308716342, 890728004, 489743286, 556402354, 667194625, 927247933, 210082129, 245406854, 457661163, 1023420185, 959630798, 911061253, 685913131, 29575906, 381953587, 148328998, 1064371461, 380395921, 1041345282, 907846263, 164817652, 311020694, 888787112, 887946351, 98904403, 946872937, 403794746, 805114147, 253560814, 871828114, 83164163, 217105054, 930787601, 203352252, 1073517139, 411069170, 731505698, 880193776, 821229704, 515881721, 186008372, 875360698, 204903694, 215807602, 378473840, 375713065, 1036378349, 611084216, 75380982, 1052743618, 896944652, 960198983, 970846844, 929817574, 430460751, 691239132, 956655496, 912036193, 991469923, 1024682850, 517457538, 372231042, 411985416, 676232104, 644296680, 91932409, 849264196, 653918732, 969008035, 63556074, 239312165, 297590428, 229567942, 266788388, 937104343, 776421431, 1010003788, 990198469, 825392757, 887192496, 2228783, 1031459825, 142945836, 914344633, 766454422, 660877476, 1048794701, 739648791, 298085304, 391572284, 44834987, 675341594, 464037609, 139185060, 365978543, 342569563, 705099875, 344181571, 455982733, 153055222, 886364551, 1029318771, 499606125, 160965255, 626584658, 143713408, 100613940, 995721578, 525110035, 508886104, 835935888, 654478110, 908694785, 962397640, 815770761, 316008629, 82058597, 683550284, 1005133947, 605078111, 592178357, 686202416, 364393912, 917977283, 703583742, 668906881, 14335513, 902316321, 341357730, 819512181, 976337540, 144228205, 837486917, 1071297102, 125992800, 57891650, 817502094, 483596832, 306548008, 629056052, 548069689, 578064911, 514858615, 153000058, 42980816, 346162168, 269110019, 206824197, 656774278, 636452243, 364600458, 355405045, 1023704294, 917708185, 422425411, 790437988, 718803946, 596762728, 851155696, 538075955, 626241079, 127161255, 121644187, 887162836, 980073559, 769760050, 755093216, 889821771, 383600480, 558493852, 433096453, 418305917, 289815676, 942655400, 563268328, 6454416, 426153288, 218181784, 94223643, 498680479, 590379587, 1031506754, 707519124, 1061382012, 605647021, 712890172, 875105848, 486989441, 227386647, 443608519, 401950473, 755026970, 695954066, 5353572, 248304115, 667253600, 174742630, 27650374, 583596295, 65230142, 359250890, 716751411, 567290577, 7969359, 1025506046, 844356617, 884250167, 297806294, 584924154, 320045263, 1045585065, 504681221, 218526057, 960982321, 985198931, 812879402, 972148667, 219813815, 102150668, 26611026, 295393836, 87163267, 394319093, 960668740, 948945709, 568485587, 348799146, 819125505, 833774221, 127196717, 408120071, 194945394, 591825511, 154691549, 889932071, 599654332, 1045425848, 604425151, 587745613, 792648471, 335079941, 199668469, 969343344, 987302410, 674138347, 386563078, 192175755, 895165873, 610536429, 836121172, 568096920, 172278729, 164887764, 432454769, 296476258, 348021181, 553762225, 349827745, 753782025, 375270593, 943776730, 996835100, 346280139, 369459009, 563219871, 889473475, 863982767, 576468432, 1055326906, 501099891, 81232277, 40878670, 999284966, 951502013, 1005417870, 275826671, 215177079, 134614713, 754616913, 876301864, 968916288, 382429012, 894756735, 473150359, 595299367, 957244776, 162118378, 420098481, 1057232570, 707067566, 537052390, 246028259, 53090333, 314334685, 211686699, 56232367, 78718033, 956324331, 442800191, 745519855, 306597775, 357543883, 304872629, 573879565, 114639234, 410879038, 471710181, 938014516, 686931459, 1066889668, 528500609, 1057582728, 366070245, 1000019534, 778525037, 512179233, 561195580, 295491528, 1053101517, 316988314, 148254704, 892803032, 604192150, 18351853, 1027213811, 468341632, 1002477654, 610813607, 300507927, 43131883, 479480208, 411613554, 20688150, 809642151, 11533334, 544095417, 707952834, 1033264963, 604440341, 794694631, 994150129, 573914342, 72705386, 243752145, 1031214772, 977762297, 140182450, 71536758, 669205965, 698672175, 924684691, 879430196, 286220264, 727492101, 60398946, 675323699, 915586410, 865977002, 1033071935, 994441136, 838097776, 268235241, 1033350738, 260577009, 941622918, 754198702, 1012071090, 516092820, 487979388, 822115963, 486292066, 290931461, 984488831, 1004051900, 757596316, 736975131, 326056407, 297102290, 845585795, 724651333, 828956677, 18607743, 13892320, 26788835, 253600737, 977595192, 22982472, 344938048, 810342872, 87570401, 298811595, 852468105, 300943034, 843651106, 834567333, 88883031, 362429486, 98197474, 924458277, 221022277, 261798432, 159545329, 193030018, 181919410, 349343137, 321795307, 936064013, 268805742, 783294648, 974892552, 282515290, 887401970, 1046232819, 351180760, 211451797, 497810861, 486938138, 722791599, 1050671769, 360603521, 752748242, 89494148, 534746964, 781312939, 104301214, 169544249, 1062905105, 450505358, 985472062, 193813005, 90450420, 69777603, 350510954, 258182631, 141630928, 195616281, 440064753, 775354958, 661164510, 690947851, 238343118, 339797921, 851609440, 490279403, 1000631906, 228202040, 1051334473, 648630, 71000351, 259624005, 108544275, 273117673, 329436609, 690366617, 988332361, 70904029, 305647317, 240479136, 151603388, 979030504, 295901908, 966425372, 907230510, 363055228, 871802298, 287069410, 685085518, 630292562, 123698178, 163552467, 385980753, 783049053, 278912560, 376314539, 403474942, 890114418, 985773800, 95751582, 47080502, 491921337, 281257151, 712211500, 194138000, 446610560, 466806950, 398280745, 528890936, 529963202, 108564100, 977755117, 14896639, 227871198, 426826989, 28315943, 647718989, 26664769, 229812168, 308508678, 752697044, 688885593, 785867967, 554309682, 107590168, 792917753, 248691301, 1029172738, 598394893, 372295489, 771692430, 648410153, 417723745, 248368838, 428078177, 385806930, 847543719, 35224977, 170093796, 27379880, 584333073, 173487705, 226083344, 952970062, 463721216, 572904954, 472373497, 433866418, 843352822, 744333040, 542009647, 439550940, 1072139850, 446561096, 970105235, 382205200, 115329732, 474533820, 196979601, 628799104, 610237590, 835039823, 1011149133, 240231604, 309330244, 1061723528, 619770094, 417773607, 176748241, 101688240, 999565893, 105632351, 502353748, 982604666, 546344089, 1035483805, 695178636, 1032132003, 161646221, 347855467, 371797791, 251792476, 935586413, 396916098, 1043871338, 500315013, 765157538, 172741616, 319303360, 704620244, 902675741, 38205273, 63221695, 435507038, 667085677, 412338217, 439352210, 720198383, 215927236, 973589701, 484040540, 1055973420, 220558482, 899965129, 757003456, 947373790, 582594756, 280273299, 867098148, 354091277, 192384658, 745294911, 265518658, 659575230, 593822149, 74667871, 275644845, 78371345, 916829880, 812233516, 504890824, 344159959, 569181521, 739433661, 87870503, 170008562, 747862479, 347319873, 222071152, 696065950, 978950805, 411321895, 505112840, 21680349, 1017467259, 601007089, 891583351, 568786339, 984911768, 223876059, 104710056, 814247722, 84749604, 197411580, 173730253, 217914557, 820987727, 998992439, 49128329, 120725696, 668971077, 82591037, 968034589, 575388177, 1001657349, 591472282, 514223283, 696360132, 641162809, 384499887, 149181924, 985690391, 712946849, 189006992, 898611696, 418304354, 708379904, 455734982, 42649802, 779595922, 822865315, 229025662, 105581809, 399815516, 520727227, 113043350, 418692469, 58796534, 622387168, 306594553, 658387763, 257418169, 355321988, 1652626, 375453869, 476396903, 1014110834, 311592084, 55896101, 500770243, 12810413, 55235543, 756074881, 1001363546, 903147039, 503539529, 311845632, 240655068, 726846012, 768267042, 217253265, 1005929073, 131710409, 979294346, 1008647991, 311596400, 41772217, 666331051, 247913827, 928023939, 231022273, 429899212, 763141674, 138128842, 1071250217, 362203645, 319832036, 108445087, 114152613, 618545185, 104570081, 641575773, 143147925, 148942123, 34396882, 77628294, 998727102, 905088765, 78536600, 256772809, 418342445, 511092481, 314157632, 22289777, 666910906, 417877017, 277254976, 868732277, 349806513, 964199506, 483154043, 969852613, 639585585, 615236220, 454440992, 402820906, 676345669, 907683773, 604958577, 921757518, 897721161, 47297545, 395256657, 14914176, 993962185, 448567602, 269465023, 191205823, 1061969394, 225867676, 917419145, 661725910, 966605477, 502907706, 889526975, 608358761, 1062249845, 121441245, 320530898, 227840783, 831124057, 953204588, 154033484, 604028574, 411486175, 175766724, 916695969, 740860673, 770407926, 105891113, 991586081, 483864712, 708792144, 699368877, 546439859, 791258340, 490246833, 897932984, 962506116, 417825037, 41069042, 221654767, 830888539, 640247969, 536314289, 1056715100, 898398249, 474986504, 305423657, 496719615, 549239164, 1036052958, 325542953, 285770970, 283385879, 915989241, 570831815, 354464748, 944037967, 32043602, 126423048, 998884390, 980552696, 614457239, 201417645, 919897204, 808075293, 258058265, 788522505, 93713620, 904856443, 833659412, 133927044, 1029012088, 938894038, 507348269, 620508776, 116698452, 404999121, 768728301, 71012950, 731679865, 13815878, 496778497, 186339861, 73016795, 210965103, 995279867, 972557562, 678527158, 267025783, 694884611, 985330899, 800243576, 760163013, 88166327, 55116413, 452235591, 788636278, 943294091, 842030854, 297611868, 1001466442, 8493776, 1048078437, 375022460, 592008039, 100811268, 360853224, 554890017, 424890540, 756422559, 105362686, 655535919, 787686554, 490129843, 735720904, 211063508, 240663517, 893989869, 499533857, 652231944, 1054736497, 952262827, 6473619, 520520086, 1023156121, 749386505, 356533569, 540488653, 1060649209, 803287923, 1021124539, 15018809, 1028920864, 268596750, 1055240825, 642224093, 413175066, 11535195, 115206348, 901505004, 569630530, 282265929, 161581492, 172483906, 302841944, 386065125, 21367076, 881019, 1016645456, 1062452627, 574730623, 395374065, 455667547, 34772047, 475830274, 549664187, 540935549, 665422618, 604972596, 862650302, 82871516, 837870529, 805606588, 897254335, 51923620, 496084091, 380988172, 611866683, 182115198, 796796043, 156687596, 220338270, 233428147, 735956255, 748399032, 884249670, 142457314, 940863133, 689599182, 263438924, 566547918, 828361856, 296842056, 637063485, 472090027, 287919856, 429037392, 695446288, 424331869, 424001914, 861790091, 145478034, 13815200, 18666978, 619152807, 900494684, 259504932, 509236970, 870065004, 400936573, 894406674, 544515774, 135211696, 884205143, 239973148, 576734952, 195057186, 901520914, 829438641, 191163319, 423167717, 889798124, 921361179, 908816901, 878827937, 951514114, 397803964, 985217575, 740347000, 175830761, 550794987, 5108145, 52127604, 172306900, 340649480, 209634583, 594049274, 888127926, 114229193, 492530493, 56972469, 611638843, 885401642, 617135735, 571502243, 739497944, 455316037, 630459056, 191608715, 1073613492, 614561348, 470904113, 264578063, 982209, 100703191, 921579315, 415594118, 347676609, 886767590, 524659585, 507979432, 287472333, 360991377, 313967492, 407753836, 986995576, 279335752, 637534073, 739302306, 668406903, 33555951, 520074007, 880447360, 882574143, 411401620, 468535523, 177030165, 111011669, 319036722, 448071182, 731011976, 1014629420, 596299031, 564675356, 545030288, 182973677, 612890011, 837472400, 807826284, 914942265, 982335849, 920654521, 13564154, 1030638889, 938706042, 726824674, 889908233, 386821880, 805910525, 567745314, 320834939, 583695923, 699648326, 421223770, 904559998, 310283147, 664016216, 1001232506, 293145938, 306876512, 672250192, 770530473, 256322371, 425955700, 1000123088, 831859611, 572186679, 116216226, 650099785, 1038267369, 828300580, 784798458, 110611425, 624425558, 619641827, 637540776, 967898034, 502825937, 989986751, 959610789, 722960590, 158173158, 730750871, 340958440, 204937412, 514822531, 297853638, 249008132, 206554730, 542864418, 57894722, 973129859, 1061982826, 304729834, 509615248, 481969479, 484997170, 351757513, 227280069, 229517156, 303287302, 78206782, 424395033, 155976014, 321105065, 883199711, 813880406, 143430086, 155132114, 229069692, 860594855, 37530748, 187202804, 791388650, 1012571330, 737718603, 495144483, 687121951, 485804372, 135399108, 830245496, 90347218, 740342339, 700123065, 792498276, 814543861, 625047990, 767507200, 760833284, 970478092, 71626099, 562685234, 557052768, 1069825871, 641227940, 412242692, 1019507308, 821566502, 506460978, 650079030, 950037672, 791995683, 615395858, 940878239, 964319149, 1041339650, 730894013, 663263353, 439466988, 26833176, 489466092, 938118728, 76046426, 11331226, 230692371, 825379267, 371619246, 210957339, 421164374, 340807523, 815328874, 104888237, 754371280, 427176831, 418995251, 220740671, 37158258, 940980431, 825208877, 602012195, 737793432, 147424128, 815661679, 950212469, 578575013, 293374524, 357813406, 233722123, 88678283, 386759353, 825928064, 787308473, 1041954020, 61808197, 1061595398, 1034040964, 799851765, 721164109, 6250271, 353939827, 471831976, 366367630, 866530819, 417157907, 373304307, 362303491, 1012992686, 351430986, 111184061, 366238857, 107364711, 984092264, 960043947, 305907486, 588056107, 734430560, 708421395, 477639536, 402949983, 17107510, 562712307, 362039365, 699000343, 469894232, 457287131, 892625864, 865511654, 573065856, 126556408, 111164250, 962231273, 946131150, 665921760, 858258077, 994165568, 701923884, 335415763, 229125974, 1037880891, 440358934, 530861649, 574206588, 1018612606, 519555843, 92787441, 860177510, 892431387, 498007265, 569579543, 198532327, 35406816, 586250246, 68004479, 811498061, 701682207, 954425236, 204796075, 79564811, 950285266, 529424605, 163265445, 132510180, 527637934, 1059674323, 234801148, 131759664, 947052884, 576133189, 321927087, 573732365, 238858955, 1000649723, 356591005, 728471745, 697498585, 1053873791, 430626412, 471411500, 930566571, 349196658, 1007987460, 283014775, 711917280, 460446095, 802772396, 655388790, 924447922, 868083229, 268816373, 559582454, 887376075, 1023709732, 462463998, 705157492, 283429775, 777332466, 267217475, 1038895292, 351785380, 939158284, 491533320, 630667169, 919312851, 917183389, 737634330, 695213918, 890571465, 1071539683, 506939653, 251416665, 118815854, 861126396, 11445058, 866218123, 25719497, 214727785, 517914726, 187397387, 377956780, 620718628, 341771692, 1043948813, 563715769, 888127723, 205419139, 541136012, 680498104, 689394362, 478001562, 324437861, 318480137, 283304055, 76137286, 517564086, 273896901, 243786206, 865679713, 796137350, 217152582, 529487638, 585553675, 35993990, 1015568297, 994416425, 545187542, 960126838, 103760286, 834169524, 684851526, 200888436, 822848093, 57489595, 718435450, 215033569, 989668056, 308114179, 964374081, 342244191, 752763674, 10590134, 397534207, 490569497, 632413841, 484583348, 87703301, 1057406133, 469866892, 750108388, 810620630, 740934700, 883001300, 1047504885, 524856487, 357159026, 838669575, 818473098, 888664136, 746916031, 430107037, 227236702, 124307597, 201956069, 890895927, 806099468, 506076803, 440788624, 183025916, 924712800, 283720926, 742535386, 597791955, 134575950, 68052262, 374779405, 177281884, 696428230, 616260233, 369960413, 276446799, 951074587, 830629544, 635035476, 451223422, 870858162, 964651141, 361862380, 696584803, 13549308, 121370842, 715491817, 814536215, 1044765222, 191408506, 885413230, 127169804, 940757831, 207935247, 910602932, 15508102, 10150450, 791905421, 506227845, 674775806, 189204873, 787269387, 700558879, 999792864, 547888304, 620723223, 701685603, 904653311, 431769024, 1017674319, 22112134, 1022141224, 104837284, 15049413, 617787443, 1023996987, 92738164, 58231067, 322925651, 52956419, 1011982190, 726669343, 462246244, 1065405204, 683955664, 292261227, 985028627, 567651243, 55537732, 801961531, 619426744, 520516874, 533279255, 567003406, 1042611085, 903789948, 285229101, 310053119, 868946632, 129926844, 957975813, 109233817, 10659872, 541331375, 811752790, 708800334, 1019039816, 38034690, 414330548, 937583537, 22733317, 370966191, 849316873, 595527852, 746187899, 188619873, 735690510, 586490557, 631765063, 700764485, 905629024, 251672944, 737592828, 351589751, 299712008, 844950460, 334235947, 844809869, 330973950, 850556939, 523104885, 251552212, 153890834, 61313233, 862456674, 722329495, 130056055, 947807861, 509400077, 885697428, 383849715, 816277416, 911612773, 55766664, 423394758, 81681489, 67614646, 702721307, 798650139, 355750454, 418715827, 369411901, 924345213, 41365236, 814354478, 1007780811, 746024764, 644080993, 967160721, 922799745, 518717618, 1027288844, 182798875, 90617537, 990996812, 349071077, 658849761, 934509544, 712473422, 408234468, 366186877, 517864995, 216950903, 937508640, 261970173, 545800583, 921549321, 616200289, 1039849117, 747007420, 493438467, 874520046, 633926451, 1027064223, 210577072, 473013430, 246301339, 376755249, 269542982, 403475017, 920465370, 624694658, 272285150, 295803229, 635943802, 465805811, 877309898, 915330548, 644427429, 506156334, 249558216, 230957553, 1058961269, 942167646, 629659413, 1067302790, 480797845, 218152562, 203998196, 859271945, 928032072, 793472531, 899172241, 467393427, 271598124, 117473077, 530166162, 701239716, 1062667773, 214205463, 831106531, 812050853, 300057695, 385527002, 344100571, 63434934, 84699430, 752363581, 847773124, 435359142, 832736783, 488517768, 23316505, 160092165, 464438084, 697330451, 315038896, 908490526, 985886817, 1043083376, 835844824, 1039121143, 800074556, 163276209, 940879779, 828189807, 183999008, 268257888, 365964232, 232302615, 1051977665, 256511535, 802255596, 864622328, 755141667, 206859890, 506539185, 168378268, 1015779604, 659393145, 393678448, 238481059, 880435153, 411099326, 714777874, 718065787, 36041953, 725900335, 8876698, 885641999, 192510012, 407694664, 854638366, 891387057, 817868695, 395252838, 990683936, 314087857, 256061761, 486699379, 408762425, 750526130, 474638871, 143438282, 893903206, 64428994, 794055137, 418554240, 535291000, 834188635, 560594383, 43263676, 297201311, 924048490, 379177651, 1068949868, 906991353, 418345175, 633775060, 205386128, 1073497268, 379315988, 301879046, 116616979, 47892768, 368449591, 142566565, 660045572, 986393957, 466735247, 273618113, 414711061, 728271164, 670636904, 791431100, 28857317, 140958335, 949323951, 808126261, 648033095, 804165722, 850650263, 764658186, 579118290, 411035505, 646293750, 20354050, 373799209, 260689422, 1060121441, 907483710, 856587406, 861286878, 12951182, 670895551, 545564975, 866526012, 779894411, 861689672, 525410357, 899424225, 140741218, 300330533, 311429120, 89453091, 703331904, 356356176, 321619747, 732049359, 186699872, 679210249, 199329722, 382877066, 265713286, 769991531, 888669951, 676360667, 207878696, 1069185481, 284035530, 674877089, 133903978, 91357547, 572170105, 124449828, 725463733, 760122602, 559234766, 135348687, 198939797, 517360532, 578723656, 354411050, 681384863, 753055190, 203617886, 1016877646, 523737695, 1025273507, 172542748, 953159299, 233178282, 299337893, 41849801, 896501683, 777400523, 612993106, 608993155, 826469789, 707523697, 420384103, 612157841, 55437952, 216165384, 203652027, 513352660, 25112811, 268464852, 361996268, 507926537, 978839464, 385638969, 963157560, 540251832, 592442859, 647935014, 309782729, 502710240, 28208218, 618516000, 275103590, 1042703431, 9103692, 341624243, 292656247, 713456061, 777314551, 334571399, 681137642, 683963139, 542001580, 190362909, 896654910, 486448248, 617609526, 340606847, 445504645, 451364951, 154384933, 338885512, 606839308, 320292799, 21772576, 642372878, 1020342112, 686846589, 66159547, 351118536, 1004960038, 1020570906, 387993027, 361236901, 250875713, 167624953, 55732047, 780650768, 554567317, 192308852, 735935116, 693064820, 334928483, 567710884, 387796412, 1019655115, 495620684, 865366130, 800322164, 951359127, 706766232, 440837025, 669335984, 256452248, 874292018, 707457028, 108676971, 646298247, 927909618, 403363265, 936365828, 231426638, 223348529, 66909719, 90156806, 331392404, 36786810, 103905345, 720710548, 188129198, 225389871, 61917897, 132872115, 894388577, 710919721, 393972698, 818143539, 732270871, 949825838, 579232842, 753090429, 291345633, 1007953777, 5709951, 903518892, 994558759, 1001575711, 352802682, 273654734, 748582817, 1053006850, 815499868, 778985510, 936652861, 47491510, 330624128, 1056827809, 602348998, 714597304, 77099167, 773241473, 401745886, 112157599, 572293466, 633206151, 31419833, 677255520, 771241204, 662725470, 128663830, 374600160, 185161507, 553491857, 222556283, 899206799, 646027792, 264426255, 368144059, 448872288, 279693125, 210442854, 226748568, 149381317, 692471685, 662194140, 954484128, 738693222, 506628046, 876166116, 934984872, 86116071, 344832109, 553524128, 546877665, 899148597, 567324944, 162476253, 547733460, 947011805, 737211421, 825896120, 31614381, 507895404, 478609169, 892563881, 772265566, 601792581, 264284778, 594435783, 1066453775, 305585997, 316681476, 752606850, 925189696, 671738177, 677430298, 8208493, 52851798, 923734391, 375899545, 1037927594, 463407185, 216731138, 1011247345, 348948859, 514295483, 653946067, 538599866, 268793276, 161397817, 6943419, 102053041, 794216207, 803735613, 960674789, 485667697, 485967941, 553025349, 687482590, 645924079, 458573177, 1052402864, 654324127, 755787922, 804523608, 589413428, 414729787, 46650619, 489855360, 846855239, 424028150, 244472163, 396561725, 9625671, 308772741, 273040826, 462429259, 450001864, 61258897, 650647431, 35675679, 972006169, 408118695, 153968794, 756836270, 727103946, 213678, 1028922373, 222603393, 853877021, 260954560, 891116633, 52930667, 988089218, 1040789601, 1066550310, 608702148, 910392761, 258807006, 444238182, 167402927, 898041827, 436244078, 612777065, 396483948, 303994934, 402841125, 333312444, 320193697, 465221093, 173853270, 1027374869, 1052900719, 243708350, 604105165, 744932880, 1071893489, 394841385, 951521159, 651515100, 61199904, 919347822, 1011791414, 993903036, 229516519, 450326539, 832983136, 254546934, 236760198, 814448093, 818281684, 435894343, 22869513, 325751946, 766760795, 799420507, 721888589, 116605321, 486415762, 470732579, 110366196, 686985417, 804647777, 538663095, 611128344, 996802933, 391446162, 103026336, 317835186, 721152806, 588905727, 517554195, 321440806, 195953036, 855234082, 387214444, 41859705, 178867686, 872962745, 705989326, 59948098, 560374669, 688525182, 138000367, 120593388, 547201132, 743264126, 946276814, 763891234, 337705351, 395287381, 275142420, 321906885, 565719395, 474568921, 325770095, 871617103, 903473208, 170766386, 709705731, 243623539, 752997112, 188091343, 501090082, 779128727, 957352927, 451899570, 825699819, 367795754, 492845419, 628042729, 216994801, 757425661, 967164233, 686802083, 149062781, 426854134, 877215458, 995602530, 769071868, 619252273, 1047885019, 866980168, 436845648, 791917984, 28704382, 708190983, 433109087, 956360528, 786920059, 349507537, 520474787, 929159709, 730401554, 609960558, 856759664, 235657527, 340175187, 444104461, 444614, 89298113, 612937803, 189877777, 519045901, 717675791, 617340676, 634116982, 137878622, 709486230, 670782513, 422696042, 399025027, 196432204, 36116312, 348470827, 284483106, 509083315, 172112828, 509633208, 909198744, 370184618, 1046775232, 310703894, 35320277, 79052905, 659450328, 845930685, 130461835, 196973293, 544299659, 495387465, 396961338, 58855955, 671719533, 738696991, 557651526, 526246005, 996356115, 482629300, 1026035502, 445146881, 766683008, 88181820, 307593294, 239085755, 680307744, 597478911, 37088470, 889796772, 966421245, 217817128, 521439771, 798193748, 596447307, 581011786, 551869164, 1011541291, 985557156, 1034552016, 31608244, 633864155, 55704326, 256859810, 975948655, 847765864, 63692315, 649048970, 868317548, 109589949, 873178146, 109856681, 133716444, 239303898, 448803078, 685156047, 471421825, 563502263, 323472150, 124679628, 450138218, 89322997, 22123007, 822636979, 1020084943, 5316146, 866673092, 49908564, 118531654, 879092602, 107671835, 355187121, 979204616, 498402768, 617070327, 33805994, 912006760, 595017109, 736157184, 1050703817, 181308684, 775646566, 820074646, 446020620, 554552894, 378692512, 465590752, 651328273, 153860035, 346993588, 34411540, 174418245, 83976363, 743105165, 509812083, 568781845, 887789581, 345907987, 732796105, 440597132, 79332491, 847566069, 272616085, 1069446518, 548372583, 311797878, 126195454, 43820696, 965916979, 550281845, 243328448, 661992745, 320753605, 923843049, 51496009, 748724533, 366979317, 335634703, 631768942, 632409724, 1060629191, 435959019, 216251240, 372402256, 754776065, 656908608, 691339104, 345627768, 751258064, 839090870, 978581060, 579864366, 478041875, 838881299, 391350294, 300322753, 253333744, 366921761, 186941075, 796655481, 244575344, 84239359, 143197624, 203302131, 720253976, 258494684, 139670354, 380096261, 18859686, 710217360, 12582830, 532917752, 507044909, 288243130, 834892109, 698843575, 18077285, 185851737, 132819523, 243536720, 444557159, 1017028667, 1041565137, 175087411, 62225645, 245155563, 931402133, 435135469, 527848890, 458448742, 205055481, 78662136, 527066411, 1028687867, 72357134, 518607515, 106022162, 359530487, 114259128, 365472120, 146532092, 591883628, 555968721, 816834670, 486935599, 237044136, 512496135, 703781352, 974211312, 233804863, 29788822, 156652970, 976810793, 953238999, 993927935, 345455485, 908582330, 1037556163, 278284879, 750105107, 720465044, 979702615, 993708459, 330459260, 112205753, 861196805, 371495587, 1041580627, 219980186, 123969965, 387040928, 576423536, 591202513, 588806998, 1059340538, 1057525110, 820098870, 1048598880, 318237518, 1008072114, 515742310, 750752613, 825631986, 874782398, 216581089, 933363170, 602875377, 925152826, 989265910, 261971985, 58362849, 464996567, 86546764, 829193381, 833774383, 862544936, 823578060, 477859585, 495066339, 28626892, 486465829, 200717105, 1049348252, 528172723, 860077763, 509892837, 621727908, 199249847, 504667391, 745151601, 779291790, 1026007404, 876324559, 366471353, 571164595, 747898641, 482304549, 968693955, 915032904, 70421600, 427205562, 24810613, 1007709042, 381478590, 329345841, 260117497, 41666489, 25242284, 785503421, 90550725, 904179617, 532249932, 520814463, 138725098, 117860974, 307180506, 981697248, 333482054, 168484275, 603004936, 139288939, 932903462, 526130662, 121958956, 760568397, 440786004, 458526590, 257956450, 337629794, 114708520, 17081526, 145090476, 36963708, 905490004, 584768903, 376982734, 507414754, 731422429, 767582833, 887003470, 822007714, 558949802, 651260547, 515964128, 361838354, 478414883, 789982601, 879345605, 953895218, 569743789, 499582359, 167619996, 605957586, 1058432536, 130731919, 873585911, 682160056, 1032692441, 752399416, 794231008, 590058788, 35115573, 193781275, 465145541, 1046692185, 527782772, 847084915, 524112953, 428852407, 445186390, 98841706, 614361285, 1050117135, 2429062, 805304351, 1022770190, 945764613, 349092267, 102620241, 82863880, 897631311, 771329451, 13500240, 612059976, 520226471, 853057969, 800969587, 472308145, 191212406, 814814826, 748593440, 114668216, 60047403, 309195672, 308926938, 213817940, 1049610688, 173875475, 231476167, 730616591, 409248016, 757236292, 789776728, 1007125173, 917232824, 841627138, 1039323596, 675130180, 610179951, 858187696, 610123791, 447613472, 528556233, 517280810, 435643706, 771149275, 442875603, 643596502, 32003394, 112719109, 696192163, 429362483, 683474514, 330733597, 663876335, 642112126, 741721026, 287673461, 347704030, 568120922, 761927791, 758003976, 145961797, 247119943, 299193722, 351844803, 552907451, 883789718, 176382515, 435828458, 610994719, 387654035, 279107682, 339743475, 335151242, 401146324, 88314649, 933841167, 401564197, 917931862, 311568732, 99437969, 736551172, 497415951, 931197554, 863217449, 436597144, 783259284, 929423383, 70008354, 226068011, 925956012, 160553833, 136564019, 1005655535, 93975072, 154114734, 553820104, 129510450, 318834297, 945439735, 590138685, 767485186, 960379738, 304389297, 62049490, 880162358, 534916255, 183169772, 236117684, 558099188, 965919879, 841935757, 72919022, 19333171, 875741582, 498286486, 671581134, 960613465, 564944790, 556043319, 94157833, 712962344, 429048598, 1011622417, 554839934, 305584544, 177779835, 467452694, 133319254, 486471014, 381966308, 169067762, 26892321, 546970535, 177425762, 628792912, 1001224096, 311119540, 49525135, 1055026030, 1071097549, 688073405, 705726843, 773843235, 406581690, 552249221, 107435491, 701896689, 439392572, 224709329, 432705417, 318213219, 187914560, 1067118288, 313087172, 924035375, 966044039, 598763166, 556724665, 29428051, 353861428, 888555183, 47096316, 402889281, 1026626609, 394431010, 18178313, 665095528, 531239478, 670162770, 350879791, 925651295, 413672513, 114896437, 141579694, 948643945, 22198365, 744935897, 123418423, 1062530350, 844512494, 996727981, 41012307, 585212388, 580340755, 928595736, 324463920, 517839252, 409773870, 764469311, 514713676, 974097332, 365794801, 1045072474, 706182608, 869239505, 763989024, 882903689, 65590607, 490856277, 809211995, 941024426, 413306844, 456348360, 653934304, 229961246, 990307511, 942574692, 197246130, 769004742, 538460434, 190306589, 232930776, 506435009, 962900308, 253113747, 241328541, 659052194, 135375999, 495578820, 414738710, 345199186, 362798060, 114224690, 518306975, 532161613, 989680919, 644967042, 736640998, 197492731, 707960228, 90886427, 165443468, 563554195, 136969634, 197843223, 501793670, 1059520955, 195182691, 219774696, 737389542, 1058165362, 859718844, 800538857, 77318553, 573296449, 807784151, 1032770601, 981303996, 861775031, 579834400, 343361611, 612829326, 900360266, 521905836, 861717072, 234828167, 255938094, 493156368, 634396774, 417624109, 833006996, 751607179, 469811418, 1020725707, 627186268, 944352520, 544241674, 516238911, 500622516, 674884374, 708095426, 360587264, 841856964, 214102711, 548180396, 488240747, 388715009, 654227939, 712818211, 713648734, 480347693, 1063027647, 735755810, 348917331, 10129090, 412152387, 244756246, 405273907, 867635562, 501317455, 21182542, 1000520175, 609775136, 842306775, 529990122, 1038774160, 289302603, 1013116895, 782101980, 470640352, 793599499, 702571915, 660053296, 382107702, 794904657, 242595619, 591848100, 667005728, 172715490, 1010548069, 660100941, 532344073, 234218645, 2024636, 838318949, 855606771, 363573416, 870807333, 768094377, 177727101, 534303511, 955331434, 672632380, 39823844, 717868706, 287419109, 878993065, 882536972, 560338134, 988933863, 932555928, 990234465, 1025475910, 641831340, 748003670, 491088917, 560584838, 642999331, 678024284, 269039202, 492894674, 892989602, 398600037, 174877668, 1063482542, 518898828, 16043738, 690485921, 49265185, 596453109, 409315816, 145496586, 969772854, 557797064, 520075174, 238274226, 822698059, 348091459, 143122459, 982086263, 58202227, 951432202, 291373697, 922978854, 1065714590, 634815106, 414770666, 41212929, 619805040, 513028557, 791697532, 402122467, 554340657, 1002238547, 999364285, 666955712, 677583278, 562887503, 7853206, 826492068, 791522651, 1004419719, 45252276, 570848375, 1005381966, 439745401, 204034804, 811749097, 281206353, 211070179, 498108811, 746994967, 735126251, 628192138, 729674055, 112172476, 254740285, 228352442, 384944418, 539283572, 729545512, 106804494, 980383558, 22294372, 625004747, 71844367, 831487311, 278787366, 165006831, 274263956, 713891414, 511953802, 170207888, 853443993, 340361045, 145791782, 744576545, 58442852, 1031541566, 31252171, 977519543, 274725229, 357889675, 474350733, 1071030893, 877031438, 905907886, 885608543, 881702567, 913450638, 272546788, 844790925, 734261264, 189995061, 909944267, 241646912, 890688094, 70092887, 134539459, 15307036, 415638134, 389746205, 1020803599, 784624010, 419086206, 1039775117, 407865251, 464483546, 917067654, 639381239, 990550355, 845213538, 881862930, 624489947, 226566358, 847500785, 856663770, 44542981, 526616922, 62028048, 416095993, 936864546, 1001015495, 1066420753, 367462547, 891755538, 680063893, 157152617, 933179876, 947641189, 371051004, 619100903, 11599380, 791451433, 470266756, 319291207, 62027380, 866547383, 856241329, 243390522, 443011325, 578493839, 911514325, 329189732, 101942785, 219494799, 46627627, 118181627, 379474718, 866866428, 836172739, 864861448, 495398238, 677438406, 645948493, 1060777182, 933099900, 476450310, 781604468, 863685132, 836868051, 298631583, 865498615, 439557756, 736789699, 683429117, 187996855, 426258349, 818620094, 292136683, 240993326, 738799078, 484223063, 857604158, 700034314, 297668516, 496200178, 584507014, 967191966, 618572417, 890076801, 335199413, 188163293, 739735218, 261935775, 810065486, 650190460, 357240831, 578949319, 901066121, 821060596, 872949617, 574288736, 821295242, 939461213, 103157952, 549997046, 864882731, 962446767, 959284132, 270560419, 234335670, 360313751, 757899965, 122533781, 1049522558, 41315103, 1047804582, 482436448, 553237493, 487416059, 218748479, 817170239, 257328220, 1016197270, 340865632, 209156265, 209890599, 714336340, 248034823, 298770473, 139989479, 234739740, 662052128, 971961627, 568985838, 183329385, 28174520, 374964502, 121555906, 636118517, 504548617, 397292974, 153233385, 366066699, 983187849, 769278937, 710648449, 1054185937, 237381960, 66814175, 558926879, 17738451, 630309935, 234566152, 322801420, 854104334, 101392277, 174335356, 940870185, 1058149341, 506638987, 455472156, 68786958, 991409819, 234506209, 810586965, 24778723, 120516294, 1072971126, 42445253, 900963648, 863762234, 386829174, 500126751, 533344383, 322219896, 620089365, 790961504, 1016356494, 371297185, 148673171, 663051244, 576945049, 821133814, 121098411, 882389114, 240054457, 71586503, 626555915, 149416484, 1906457, 66705116, 990914084, 1052770405, 125616011, 388082362, 590093747, 510748424, 578556007, 601145442, 540300098, 549928571, 95114968, 1033973979, 990607486, 568944977, 349660980, 934277853, 192927404, 234512932, 814479314, 378188804, 1003761341, 395771294, 641056461, 281963186, 31434368, 734598699, 84229859, 245971289, 402463157, 903843478, 956558585, 397325471, 766387584, 690016280, 504211938, 381881879, 770660443, 448150339, 171192586, 625028154, 354220487, 753250514, 883480428, 940310381, 125253293, 215519938, 428247857, 380944702, 206749805, 802557552, 619206757, 225318455, 781400251, 145989314, 47859635, 722180846, 284174511, 283390554, 554691734, 515823561, 595527617, 212506058, 11873011, 655298371, 117774730, 979514193, 204083461, 1037277503, 171382539, 874424631, 842155223, 639117384, 144187393, 966913219, 1024889882, 315391822, 404695343, 699121738, 1001738487, 776898535, 915245538, 854602401, 122729555, 148591049, 115645361, 266519490, 536918828, 914987060, 353528581, 498826152, 377831568, 112158517, 939907062, 269701800, 841414990, 783747571, 1001487174, 876546232, 1037741186, 258812303, 268581941, 809474657, 712342974, 1044205890, 634307670, 393440505, 999278075, 86867558, 489368646, 911764228, 1043572797, 244854269, 517992458, 737958862, 622806535, 991659172, 359169462, 501536257, 282205092, 962687925, 877730902, 1036362924, 697248829, 286766603, 453523464, 901713177, 960228481, 188320995, 669465832, 1060035374, 283511814, 83348059, 291420500, 1066998736, 468378736, 381625569, 1013789483, 805881559, 891717239, 733758748, 229034121, 717126146, 35922207, 570094335, 159939231, 702250442, 672350564, 289547979, 775557736, 455319663, 823537976, 159766019, 457846178, 86782363, 582197704, 774927574, 519441962, 360996761, 743772104, 1019094406, 101213301, 340106240, 832977776, 40596486, 246564681, 672436015, 55548601, 1045222628, 59343796, 958188081, 439158600, 205288394, 639038184, 197663210, 797232705, 915595462, 127626904, 835054060, 188582996, 581991481, 183867259, 176381111, 980922714, 377468347, 881442478, 190898188, 504548457, 348764480, 147426151, 484920395, 763122982, 1070442541, 784188577, 340480861, 106853158, 492037598, 746426587, 914049733, 708317660, 827538940, 483925557, 433818555, 743575899, 311048038, 750400271, 172669763, 319450021, 732570201, 628419490, 126191332, 461108498, 825177849, 164455436, 274069496, 560996886, 930089502, 188713853, 984417283, 1013737951, 816692736, 81501294, 868003845, 422829960, 715564007, 346242918, 128750363, 404550508, 301376125, 740300391, 764315447, 1026333107, 279174230, 405005632, 487857967, 296411743, 970985269, 973138845, 496651485, 687133905, 934081530, 864953949, 525770577, 873433031, 977030739, 250161295, 295840868, 1056866904, 167463138, 18669712, 10188910, 1033923355, 696881764, 458247692, 335952903, 294449318, 174455971, 125967451, 977682363, 809861645, 777982795, 520861346, 855938884, 675895745, 190485969, 619101831, 16633499, 149965408, 217512363, 785435947, 517033243, 715562575, 292442122, 997476657, 284338396, 933018382, 103837634, 431589042, 12984447, 458340640, 433169204, 143594595, 864437074, 665209641, 994148876, 366993850, 1027505788, 714257535, 938753672, 216029073, 875939285, 373340393, 137825429, 846267312, 35976988, 1001831090, 662639952, 306998166, 67668059, 229357883, 690693894, 762413416, 270990903, 385071265, 785338474, 748610110, 833954578, 540853020, 1042597614, 713177514, 697930477, 498411008, 642233624, 768404345, 806111973, 249988756, 568843139, 1026110521, 85518000, 597955754, 73751963, 493997590, 694266664, 894049672, 1040664009, 212436916, 676083850, 891753389, 1050962295, 948267524, 167502671, 655264660, 568931927, 796101050, 37167693, 183870338, 292357336, 1000625002, 52741387, 107602623, 393031909, 131526452, 20710315, 473867425, 186906465, 133898005, 892289404, 301273783, 245739297, 437479633, 817302994, 210902167, 742313427, 1012715063, 563865624, 98495717, 848636810, 710833494, 524062533, 613327353, 22342604, 203696296, 102536643, 708855935, 327930244, 272928202, 505436524, 584941299, 722651870, 139480540, 495578915, 3358033, 97083395, 502157211, 498259289, 263580031, 848563160, 227944094, 496520224, 777459208, 795708647, 467326396, 935953181, 942384873, 410407591, 585131354, 697345944, 201476958, 424697012, 439922749, 16625352, 643883847, 200375433, 62932756, 357066458, 140039869, 620705232, 151142230, 222004989, 205364633, 92498959, 902317962, 835948904, 704987505, 1029887637, 337374101, 263239593, 1013014063, 823766326, 586335278, 926830409, 690876056, 949534592, 190073161, 545438284, 597127482, 915024374, 324557588, 763672703, 1021089983, 939704348, 520846516, 313512106, 365302627, 838419426, 708586540, 368801571, 108580845, 223370584, 860194302, 690990807, 239438910, 80900306, 747489201, 278430365, 1067277596, 722624224, 804022750, 78530601, 513435446, 10200007, 28475852, 337071665, 680468955, 699098268, 514203721, 547710757, 310508869, 887789537, 323385506, 591830173, 325129588, 311145348, 415178383, 25403182, 378240388, 61556051, 384934486, 496455745, 299307351, 357277834, 410428024, 656258311, 67268255, 65869239, 325593524, 312903422, 295816217, 262665277, 550385737, 959534310, 335327899, 390403851, 561629023, 408216457, 937559754, 599611130, 976758653, 681109806, 140375515, 947533402, 59977323, 774487360, 185724611, 365864803, 354876966, 346378329, 617160436, 513464440, 932933832, 351215132, 862766192, 936810733, 254472804, 79036385, 14904713, 87631093, 504135046, 823572809, 456463180, 853562044, 47239504, 874692411, 542446842, 213560162, 225284576, 441696711, 906796247, 100624752, 336024806, 727794286, 629243011, 883364079, 406813429, 134765561, 807911854, 969296190, 167170993, 660879228, 414059241, 80997997, 1067302818, 473246293, 290792557, 584713250, 833056749, 853161734, 629349749, 1044545073, 182574995, 778747183, 487582444, 678193374, 759549411, 671982682, 719214534, 1039943527, 603099797, 925084006, 604083181, 580134513, 77586864, 1050087522, 808164473, 1056517147, 668398237, 186581418, 421780324, 657650617, 11846989, 557054356, 256556659, 555796093, 731802027, 413365314, 373738294, 44249049, 416122929, 439626110, 346085461, 395827429, 928627105, 643795608, 84014809, 937235813, 296099391, 89066110, 689813969, 452346936, 369727587, 360200518, 500134226, 457256168, 628285293, 546900113, 60756432, 690329521, 766270344, 661266850, 252000980, 804282554, 693950548, 802330196, 487314109, 489719522, 810652610, 53908652, 73179364, 869694712, 139744164, 383602725, 555128567, 250100911, 771013112, 1022372374, 902922566, 793023798, 109401808, 38061737, 20136328, 595138197, 394478621, 922017715, 934568783, 586501648, 346319275, 466909879, 282461855, 464531925, 544587887, 616518788, 821809449, 557647869, 473012223, 1061284210, 666892611, 643327053, 891437153, 998436350, 531151955, 373285357, 621377283, 647679718, 299258902, 884287445, 537547621, 978618420, 1035521118, 324144769, 612453257, 296668908, 529021941, 543574088, 996591420, 209916506, 701297261, 1035032048, 642482632, 353358629, 523508545, 105129473, 1013106566, 810806794, 90574319, 661048854, 187159319, 215249757, 749498223, 295767197, 691066030, 502176371, 681761614, 180762960, 14038258, 340328285, 934183479, 310061565, 43162666, 963414191, 11283910, 189253398, 352780670, 872868036, 236056911, 114899544, 682308826, 392476446, 1039969318, 618912154, 370925186, 762704012, 968516383, 84642672, 93744656, 274327621, 878190515, 279569254, 917968336, 258890209, 973132716, 289776706, 247385753, 791893900, 673334998, 75307892, 92799502, 946928349, 612994057, 298355916, 992874387, 842271916, 932141258, 979660951, 528534500, 135037027, 42155363, 231326142, 959968382, 382229632, 1059709150, 335160941, 849951282, 146236132, 436024035, 674571477, 702132001, 691258136, 875049274, 448554781, 1046448653, 476677033, 946668625, 365228356, 290983102, 185460253, 947181772, 175701136, 640474520, 1032239523, 207313120, 594585284, 1033095853, 168481243, 703992886, 762598645, 695184147, 1036049558, 639817758, 275402233, 837636888, 241345968, 584743120, 632668403, 238849951, 325592348, 1013826067, 435264156, 392006593, 185244685, 223062079, 328440723, 245535146, 597359214, 1034287306, 170515944, 769228375, 716320659, 226697776, 788544078, 842930135, 19672966, 10694109, 468848005, 297173146, 605824054, 321943994, 431680304, 330971189, 116265582, 881878231, 813170738, 185316732, 843065569, 355774784, 854057857, 880684038, 627168891, 682703632, 440617031, 296057219, 431700283, 290934826, 597708980, 1005991771, 392560080, 295751397, 78360861, 205580606, 140344795, 126897520, 859875250, 170251128, 518776465, 278732739, 498075448, 75888175, 357956975, 401506499, 105445503, 792766256, 674516776, 1071758181, 564670278, 374647833, 218239360, 348039420, 102498120, 203185557, 8085130, 768719792, 748493913, 181895556, 911128247, 524987855, 501201233, 341001895, 188810130, 1046779824, 728127514, 280562820, 546621976, 1055489588, 610988709, 774481786, 29393994, 379482998, 443617996, 858128850, 308839132, 861731092, 246285695, 673747060, 637404901, 574662418, 803732331, 767369605, 1027221592, 122379421, 346676326, 646469397, 1034312227, 296614850, 957746072, 814247553, 708294744, 673903623, 313041549, 872594715, 548104453, 705886865, 962834396, 246640190, 212771095, 1027631356, 1013678959, 1034126847, 31090701, 79590114, 1036302484, 486435423, 737576076, 114958725, 140012068, 691076073, 299166715, 532310367, 927747552, 378546385, 1056525190, 1046357543, 663554451, 1007503537, 618955330, 145315826, 595668547, 14584379, 647257342, 149292743, 93013992, 954660555, 1023854268, 447418089, 993582889, 46729432, 133709030, 606608000, 785997894, 579487071, 143985453, 42567400, 890021258, 42250529, 596238662, 309589168, 617491589, 98647652, 937735980, 162653371, 870395943, 329841432, 999823842, 735307165, 352616345, 698672775, 139363815, 534374563, 881050534, 325126257, 440589953, 834220550, 489973781, 644005122, 466994345, 711779166, 187981903, 1004636274, 469504294, 207384997, 1008425119, 103647774, 827679106, 703675728, 16271985, 19783121, 658236934, 419794839, 504495338, 189759925, 394136456, 489635763, 993266223, 1014866040, 402667195, 671646512, 19442987, 402671195, 690226437, 676528840, 635360303, 111440711, 676672292, 463295136, 465236610, 32861876, 179427163, 292011693, 955972092, 45494708, 943061005, 743449215, 429999333, 199950875, 916201953, 695205334, 566531662, 807801031, 39546745, 899866365, 845362101, 1003353556, 351924054, 245015031, 1064284806, 262685663, 617455929, 242607889, 959863735, 270692289, 1046036490, 262126580, 394855962, 672786731, 932380693, 611883833, 588659649, 331998316, 66721939, 724267681, 229764204, 797207191, 298477713, 323143986, 111692787, 171225977, 229283979, 700601533, 913975324, 304355958, 662707149, 362333981, 748493588, 948684158, 554787876, 483559747, 534253521, 550958749, 537448634, 336667376, 411885127, 347760370, 1642166, 645888930, 898195198, 10202193, 222987437, 768017188, 969480183, 613789713, 1002461433, 852360693, 247088677, 485276077, 360199562, 331014367, 844690504, 545873137, 423893356, 352070517, 566768109, 759590954, 475246156, 228224763, 436608454, 494384461, 778022725, 467624521, 631225172, 345377616, 875544841, 220350341, 297844902, 996804292, 563959741, 617163343, 672188107, 816155657, 604192064, 683066288, 744653726, 136921719, 721568806, 62764061, 232308501, 427115219, 864460900, 152160492, 596498143, 969727709, 405958025, 735305757, 157781139, 788188997, 919038183, 994099794, 47929200, 533630855, 685141315, 228182236, 630556859, 251714027, 225440753, 1020092903, 539110779, 892407976, 207842984, 700990816, 228181442, 447408475, 872172473, 533057031, 160122506, 617067607, 251906814, 226488213, 786972198, 995103350, 834334841, 541118585, 359870914, 129536851, 238098714, 1069070836, 660784487, 820957609, 489851696, 813916857, 275471568, 419581367, 640016939, 821542778, 1061461813, 307444638, 933601999, 273247186, 146650054, 388790662, 800744321, 863809234, 663694906, 311434634, 100461966, 634080985, 816339555, 544363519, 438456684, 973292374, 630905198, 991946193, 385561938, 432703311, 587831113, 596677024, 177221499, 972508322, 346792413, 306273802, 759708074, 485384456, 869011837, 264401075, 871073853, 741210105, 637119963, 386786045, 666208563, 375895876, 890833767, 960594992, 535917087, 30017811, 169220497, 1015132111, 36630018, 520609395, 1006497592, 628118709, 429047766, 849236320, 530615588, 871591782, 951286158, 579076400, 698631942, 865107507, 580573634, 667629147, 656603606, 956421688, 747443100, 558380552, 1022966204, 674525794, 709977146, 35594977, 515597866, 138180448, 472677120, 586834736, 590186023, 1011531063, 945927928, 440479340, 470669331, 745066246, 342917054, 959291806, 609243355, 542733953, 405846673, 258761261, 478524866, 731918106, 1022409349, 281352482, 93738682, 129148213, 270856430, 415008941, 940474202, 450513127, 579896096, 1072926730, 655893798, 29709750, 424744939, 800157036, 696429244, 767699938, 637205402, 640028771, 197415961, 23886926, 178972405, 198486453, 292464274, 172221854, 611462000, 950010678, 164485804, 292428918, 364642089, 138644266, 577921236, 901258785, 486157525, 870759717, 668805193, 1065201708, 530460236, 708272290, 691524672, 672509837, 677158971, 202250078, 629155785, 419410870, 304396307, 83929076, 276477182, 939132825, 377026374, 408444249, 613289249, 1061927774, 653395874, 836617406, 69332038, 365515403, 706976632, 379160080, 60004002, 725095507, 708364272, 942253062, 48848928, 308310254, 499394477, 238582062, 523189023, 289625877, 898466704, 339217288, 269134621, 351701639, 219824731, 329428681, 554374451, 908079291, 65418392, 350754878, 805176594, 991270464, 44603215, 544032443, 757944708, 237596321, 562672906, 226290714, 783903393, 52585741, 848479697, 88840314, 650146687, 947935065, 935086596, 905865864, 557151919, 172854101, 350086050, 30182649, 823295212, 651917591, 841328020, 701822150, 567911059, 1031118699, 552654199, 960252684, 939347483, 276799750, 922237120, 656427735, 693223465, 432546468, 223352771, 1032949336, 916680660, 1027421922, 839120035, 730906901, 632692257, 549652221, 379709751, 772713520, 77224250, 763762634, 1025307762, 95356996, 308741377, 950341185, 410364226, 103002028, 317255137, 412750205, 783165395, 832050143, 774671530, 368760607, 422352563, 622418350, 434076518, 200445592, 258321147, 282772998, 674241487, 936814733, 654391831, 743212712, 485676651, 739490853, 249619311, 661142553, 990900075, 934162204, 477846113, 773552708, 662199562, 1016085503, 597353591, 718177828, 254801803, 812756205, 390263169, 166960990, 236976600, 232039380, 59402974, 503328433, 866144272, 327967181, 1023814507, 548041580, 459679660, 694341527, 901109555, 185363204, 432513924, 927750337, 644108673, 579310728, 570969370, 110113125, 272295359, 1063534755, 981515344, 451504300, 625711230, 1066322067, 853603117, 209650350, 248686034, 347034080, 1058812347, 369669061, 24054084, 58027942, 746286663, 499102559, 236273504, 749392172, 695955295, 761137632, 952190034, 553056291, 626137406, 386804717, 9799869, 805311084, 243408700, 88875159, 623706710, 866508947, 545394600, 706987457, 279350692, 819929581, 130649118, 225284855, 643065473, 667215431, 234420079, 1031574445, 821902403, 302870176, 79570805, 289737976, 613457535, 1179331, 105917612, 295800242, 664976952, 1033873005, 352229166, 843916676, 180573037, 220313466, 521852348, 121117164, 523831171, 957470446, 20921240, 711742671, 321218226, 40177913, 549705833, 217975180, 1070921212, 633011343, 389203130, 829417148, 229450835, 601846727, 889096473, 88260462, 654871178, 231408603, 286390027, 319962259, 833101747, 785130808, 263619967, 360447961, 99135987, 869001125, 735874953, 849764429, 649321561, 450569951, 447205257, 965951920, 423424122, 63566313, 488916136, 76716692, 145800935, 235640641, 191922402, 828312796, 465477310, 403813725, 207267464, 270019291, 558472642, 454264283, 585326784, 727477590, 715936545, 349812653, 476063592, 358889408, 698239416, 311517919, 18931689, 506415328, 861519674, 527163942, 352303468, 727678833, 712450675, 770895697, 1071196474, 688078737, 19779647, 562650138, 397579975, 44535723, 31086691, 893182903, 405796921, 987597877, 550898, 493567048, 99461824, 562475324, 270906876, 73858544, 532090438, 252317293, 772101708, 6121512, 682042180, 71433295, 39147869, 211854514, 766496707, 1056255823, 340357036, 690938997, 91604934, 441094574, 265263882, 705947536, 399305531, 1020790073, 104002162, 1013779761, 421397763, 708940642, 1003770390, 692423366, 95244510, 653528673, 601653060, 200767591, 552578850, 1055400448, 731183564, 392829617, 376750411, 397003209, 49657197, 676138768, 468864818, 631011100, 152625289, 1036808357, 155268346, 849168814, 569069919, 604629851, 198847957, 707411207, 538052926, 565341671, 495578906, 114299263, 916087784, 75774671, 675396945, 855470434, 314670409, 406647854, 224899702, 742881197, 291046992, 278423622, 143893037, 34316054, 89108500, 473647297, 839835189, 323328052, 356996583, 673021664, 207860016, 212883582, 421872078, 889149400, 487713166, 461975861, 802869047, 346883959, 22795044, 528445961, 276429460, 539559391, 1061014837, 426197203, 578282795, 714486801, 413965912, 817696721, 533017230, 505481383, 713888028, 176760316, 781853227, 84490268, 691002515, 890231590, 706721945, 19602208, 66884193, 968814144, 697681690, 519374064, 1001099631, 329726924, 782807151, 798278637, 527990284, 825619311, 115441957, 623389987, 103176219, 471791590, 599684404, 725053056, 541139559, 1066865314, 705500069, 1056198929, 192132141, 201297771, 987614252, 235652995, 91783307, 140164700, 1016219402, 429190509, 12672240, 780205428, 364855004, 1046404761, 795367535, 457565044, 1004929199, 852790693, 1050848187, 203110765, 905198431, 735644470, 64185082, 417727252, 803071951, 409153987, 375435276, 706481569, 210176129, 216927997, 717964299, 837324449, 396916371, 452614823, 468211785, 996707817, 94527266, 150834701, 1041922772, 373408277, 552693799, 138402620, 155291968, 978415210, 496748744, 897671833, 910465423, 412805476, 644979904, 747306594, 587575357, 68872189, 492353335, 880888863, 805247350, 631990582, 934246028, 963241701, 726394478, 934024139, 951570189, 257995452, 335522467, 134470267, 166976480, 509778767, 202269205, 220587605, 61229489, 286392348, 552272872, 1041700906, 688421364, 108341081, 188185032, 924151804, 197244750, 290709133, 315761304, 822844848, 572123623, 784130764, 288673310, 866704390, 296918342, 3297336, 704567945, 1059250114, 224175823, 911092183, 288741726, 919416467, 479423823, 996692304, 979847227, 1068166597, 588745436, 521906552, 24837440, 279543545, 769340254, 316255627, 966488090, 303193060, 798764473, 529765770, 650541710, 315843579, 7860701, 1065716610, 421335882, 649644681, 150995266, 527990714, 377564707, 38516021, 309138549, 405314554, 802859364, 175637953, 273059721, 456497938, 194035946, 368656532, 975439039, 806792534, 872862110, 204404419, 368475155, 401205784, 191497133, 292281253, 950989016, 411432780, 1009727539, 9094770, 824408025, 692693859, 90758577, 21609506, 399068685, 843651376, 426627207, 717456604, 324776262, 46619002, 551207220, 507869034, 145762518, 317392958, 492012833, 129100262, 110931918, 721481019, 463212862, 1012903380, 1035528822, 310199181, 223957922, 363151537, 964698913, 433702434, 485467536, 250689437, 979929441, 977285816, 468779138, 656353224, 475580460, 330578585, 24692137, 983507352, 6429643, 4949200, 45243449, 9075340, 1050940212, 41162765, 146101114, 723767543, 962130157, 307458832, 75809220, 684604421, 253117675, 421450046, 474866822, 876369736, 104793258, 878307533, 843011320, 694439263, 592744186, 153163221, 915245055, 117590249, 648319016, 447105241, 815246589, 346494747, 321395848, 569349366, 1040131016, 599241843, 364611585, 697823897, 664273852, 61083513, 405280181, 730508243, 500233410, 745964156, 1056426658, 269117275, 133781563, 374750875, 759655317, 864408064, 118505541, 579162513, 1017253439, 334810093, 157787164, 1007782061, 692122082, 898576280, 138519799, 673130013, 375728726, 360751782, 363290850, 1063092576, 877462868, 725757167, 772888493, 181917740, 580721779, 735733153, 613329982, 550837664, 721434252, 842671902, 489139174, 224781286, 390428326, 650028633, 1056598950, 117232889, 554472463, 746915492, 166126698, 888825279, 760603245, 301002333, 356332721, 152222589, 683305334, 1043221957, 440005370, 773366364, 289379459, 58771298, 59509586, 316371162, 737071778, 952453060, 210459663, 846088855, 504907231, 670441583, 974112063, 168425021, 458428874, 537407738, 267570906, 354124572, 56428969, 677950289, 219671165, 1051063208, 645106521, 736227686, 172446310, 1072254959, 486921632, 925207647, 109736280, 487214540, 95216322, 140506181, 481983342, 648357988, 145385632, 640291672, 711257360, 735576511, 1050435635, 740628373, 647266554, 37961854, 995216520, 983183254, 307478067, 292875456, 997792911, 348060900, 1000456002, 417532453, 1041327199, 496534728, 702864868, 1052178981, 539429381, 951044844, 877235351, 591402054, 890386958, 610342354, 327567467, 419419140, 880065188, 459721292, 313339138, 577490827, 844537623, 97273068, 138420305, 448969431, 453110407, 514102497, 520039070, 782928301, 28062291, 623666910, 444295471, 611774826, 735762281, 677066189, 781590564, 803121752, 599870084, 872623371, 662652824, 531591126, 213501393, 288143575, 224772677, 500717860, 730034633, 1061673805, 545796705, 897144069, 617299868, 1002341709, 58604236, 350933791, 476299216, 13617785, 100474881, 250611143, 959950674, 219143977, 759777849, 385822424, 855206339, 985001902, 469138135, 594007190, 574710917, 872510435, 710383164, 718795415, 119620962, 290009704, 774882955, 931688571, 358582141, 869608369, 675742390, 87455039, 1038733600, 523398974, 1035132085, 86737746, 509106778, 32704077, 985665923, 887153417, 330861194, 190813827, 499606585, 382616143, 406188022, 333469443, 961204977, 64186023, 522957473, 751029788, 320692269, 942279046, 200804635, 887912724, 249885364, 894112428, 473724375, 831371005, 850567232, 494937528, 1012328658, 8162059, 83244988, 674737650, 461792853, 986106508, 354352298, 719016801, 1071857335, 964448898, 78274634, 416206136, 827039869, 289680669, 838682344, 806152553, 802028733, 698792702, 24301471, 1028477660, 602745909, 530474821, 842592264, 872838365, 843165287, 254211439, 1069778495, 773190390, 194615347, 982572711, 971450099, 769627508, 68788669, 1071397540, 366039450, 1061172164, 601749751, 147552223, 824870873, 1071438199, 599131463, 756731848, 785881435, 291482621, 277342979, 354837122, 762789310, 993220118, 966723102, 1025296285, 292172039, 549904628, 507607029, 593020900, 25839839, 491536127, 976851479, 1055654465, 336500680, 158827582, 708968760, 219205523, 382386416, 373962838, 282781402, 451560421, 756967794, 424832694, 1033172024, 27316029, 727422851, 903655289, 988447650, 890713166, 291450310, 1031724066, 922086961, 1015163201, 191477912, 28843642, 808410255, 1060928435, 178209232, 1067566958, 34313930, 946707630, 31559698, 943486312, 478651518, 905023951, 930508561, 1069365175, 987086537, 669508215, 498355120, 909421966, 497298080, 416159338, 737784669, 7655972, 326175226, 793295607, 76945502, 629774836, 634145405, 324931087, 282582557, 685970822, 655981515, 135484424, 156042542, 136109483, 540983932, 769469561, 503778930, 732391028, 476411923, 411616428, 536762965, 770315251, 772209462, 669634227, 761184669, 397596335, 592980596, 202649470, 526938351, 1073420000, 415831569, 1039764694, 376133354, 367463058, 821755325, 759439839, 23982179, 905518593, 287477907, 881336349, 249499921, 790735061, 796527892, 659261365, 621895876, 916521705, 494056724, 1062349752, 494877402, 945672489, 849320129, 287313792, 278879592, 926927545, 736105192, 116570334, 390362668, 36046993, 1005224599, 295910819, 502031701, 1063648697, 746220484, 489785558, 211794135, 745618146, 276858231, 836263779, 322852030, 24701510, 301655688, 973593552, 288042950, 691402738, 937318074, 778628613, 937117074, 392979710, 284330286, 184135308, 65334761, 130669271, 437743446, 306513445, 494259843, 760773039, 699292682, 163152787, 411565769, 658566079, 414583506, 305626082, 470125300, 780746684, 315568822, 1046867402, 15023694, 174099582, 551017349, 437627708, 400551198, 327355041, 630129670, 705938889, 44447890, 335489336, 722867503, 476859751, 612474484, 568981512, 127626424, 58630050, 337182432, 768609251, 65447509, 972043841, 525043076, 751047800, 674594214, 280736609, 1045546881, 329873341, 201255005, 843590070, 1049533185, 153062127, 986169262, 973139477, 521007622, 350954493, 707663490, 49355171, 405386696, 85484795, 773985829, 250902900, 242659362, 294620775, 667793376, 138775027, 984434072, 1006182926, 71561003, 654871582, 54383882, 514916628, 793090472, 976113365, 195771156, 757190246, 173889072, 217176700, 787628903, 526588944, 839512912, 833732806, 794642299, 1034855948, 931621634, 631200650, 305386359, 1012708886, 124775312, 228585470, 886064756, 917077596, 620942308, 64433123, 744325788, 809313148, 810401601, 445186805, 507025801, 509353564, 707501895, 872234379, 69046078, 976743723, 437838171, 564294642, 396233277, 915270428, 1059480944, 133196310, 298261535, 684245243, 359807506, 758644363, 853323251, 1033586092, 289359930, 1033086471, 489245335, 267024707, 44231962, 1047500465, 583249440, 1048839807, 411423903, 1071746658, 237551460, 291115750, 288654882, 556445726, 874817483, 288103385, 544549347, 1043295949, 889653167, 879286195, 462747529, 172300655, 426518352, 466327141, 403050227, 68273718, 814549107, 819428178, 615402207, 451539790, 1042703760, 605750018, 277148124, 164726436, 360090660, 148041002, 667736531, 510853898, 700477210, 630454092, 322883750, 667754161, 983847292, 979845244, 631188828, 33094059, 884863993, 166202562, 350907741, 375656604, 866680192, 554530060, 532258140, 780180708, 222271120, 41801519, 765155279, 459436097, 658952090, 432246719, 556263313, 178216999, 529997468, 445356900, 1005654888, 484008774, 914245336, 365948537, 530304193, 887857565, 1002120375, 1043138612, 1023641821, 780401048, 721357057, 709283459, 513725808, 94783309, 625867782, 820816813, 265337711, 78321875, 1035148640, 104378760, 972799238, 150113491, 642625979, 559791802, 644394433, 768297783, 372671375, 454115332, 956210970, 29941344, 1051087366, 248175143, 480294440, 872739702, 129063182, 871406428, 621877315, 768706074, 372477088, 357889547, 896788894, 871385643, 167988341, 21976896, 667921994, 536992140, 517048309, 611087252, 531356257, 949360568, 251006156, 431124543, 174766498, 67684427, 468500256, 838707117, 993608829, 1061295223, 475464812, 542074826, 1061627637, 796709643, 797709964, 246309590, 360447247, 1034894542, 135801897, 1011786113, 1007834369, 106470896, 482126497, 712322109, 268038103, 907130488, 158790274, 620827545, 650708723, 494959470, 590929766, 386139845, 172817717, 487622032, 375924279, 512872676, 444914304, 387324105, 156523845, 49469601, 392733013, 751316475, 766498571, 405761849, 973787545, 335879847, 306523740, 628003215, 769544955, 863863184, 1029506669, 75357970, 854464206, 751004371, 257418653, 688807119, 791225380, 957615525, 351404001, 422150213, 289426213, 720246416, 618324071, 531346939, 696993834, 212975538, 545608129, 922575076, 998763888, 230664078, 958555882, 1022621556, 506765150, 675607237, 503729940, 170552086, 393748725, 786092601, 973176839, 147613275, 808543248, 107678830, 38313230, 109768605, 939266441, 195627545, 183989545, 792035680, 795638864, 366494201, 639703084, 321217086, 290412075, 660595174, 759313918, 133279584, 635329822, 89873524, 373465090, 128860833, 944606841, 961574971, 989288503, 334244237, 694158760, 714497568, 16616701, 805497016, 209484195, 575560409, 186387158, 993386280, 201674749, 659465597, 753140321, 489471574, 862593032, 552805037, 220397047, 759856185, 466369808, 1036917057, 85649665, 1010889685, 492243740, 11984715, 405094951, 813826325, 74936767, 398451480, 47655243, 591675382, 1050157255, 674520691, 750607181, 49326510, 974863558, 357925237, 450485355, 347693470, 548916722, 797535689, 395867724, 650044149, 234048987, 588792060, 729523212, 652694917, 123468756, 126365276, 1063679176, 215811118, 264825144, 683364702, 670762045, 964362470, 240336647, 384707857, 758272159, 144472492, 240631236, 609695308, 810391417, 61618054, 785945851, 373573686, 99530370, 149842343, 1044104286, 274690057, 600725120, 504505035, 227826042, 156356821, 493896990, 14965283, 604566588, 927941987, 162485965, 558261096, 539514856, 54865153, 277359, 28651524, 786792679, 965860838, 177686314, 429034851, 664764714, 762129954, 49000026, 1072226222, 331447216, 694340120, 1039388574, 395367303, 296111424, 790778763, 813181699, 1046486624, 323503815, 592965514, 993083864, 1041570464, 393392301, 533293694, 282355850, 395377183, 114747702, 181556254, 769359447, 1046270245, 660784871, 653154024, 567740522, 497685936, 385748622, 1008124764, 993727075, 36397670, 83968157, 58347144, 290911454, 119837371, 117014486, 1056549431, 789108920, 171190154, 331574358, 28914433, 345663072, 653363190, 1015066101, 1026643466, 231452747, 418219211, 46076432, 1055638562, 98058547, 425220744, 945027091, 1055997107, 947678024, 766852794, 522149784, 985038661, 545366956, 106465930, 237923747, 866208569, 788051147, 660028137, 622213928, 73566670, 96095260, 565703175, 284173109, 516191584, 557634965, 553729235, 101392082, 927490726, 390177182, 528022673, 165396033, 702212271, 404898651, 988132583, 92947432, 157781499, 653537588, 158939338, 717011009, 45290390, 827313415, 587861078, 647867241, 763051576, 263323901, 703093463, 308833312, 168947640, 523215368, 179455721, 1035940518, 400351310, 284176869, 650210093, 964340209, 732873053, 381422740, 552077890, 422499245, 167250163, 933009858, 393388543, 646067540, 157868010, 559076274, 648361330, 1002987487, 389619843, 1016930159, 410462605, 913618561, 887877655, 600760757, 706377851, 838577655, 656626080, 369904490, 32172695, 10344233, 703157446, 499690975, 781573041, 639131882, 78964572, 540158527, 577051560, 150249812, 147366683, 808511083, 106088837, 462012086, 679580202, 146878764, 698174516, 642049131, 1044215035, 858477011, 240005173, 907391285, 348864968, 660169049, 180405553, 1060999093, 95016627, 233778383, 906870242, 1067028239, 321335429, 184390541, 946667399, 51966584, 841239715, 79094146, 123089291, 699562199, 192775788, 284568939, 37526167, 234218695, 110223402, 916171713, 284528996, 796125478, 555538743, 324806374, 1020319136, 501408287, 972332319, 624142477, 183664112, 1048659041, 325639196, 489213002, 756860868, 363475645, 671557011, 187428913, 368323788, 556362726, 1070531996, 606295608, 620181317, 1073081507, 394289896, 406477371, 206761870, 855343078, 341052751, 700493470, 482991867, 269782433, 818917496, 122434126, 95060058, 261893592, 8856039, 463063957, 420786998, 638140544, 1013175389, 116367770, 60785243, 968371137, 557029644, 480339660, 681740638, 257023125, 776825363, 685528620, 391170680, 743713298, 325579872, 1045729872, 673725770, 481804116, 160508956, 198112726, 241986923, 637597705, 908569559, 1033966959, 776870220, 890255062, 398497302, 245173541, 12123384, 340814999, 1027522496, 730521641, 391187768, 926582099, 175253114, 135568295, 59052825, 946226408, 354157364, 62015666, 513815369, 717967864, 1051740017, 44699852, 573773892, 1025556492, 688829954, 653196056, 609857411, 888712763, 512522684, 375568658, 876095151, 127161703, 1048683120, 966144092, 597182691, 351923479, 158699546, 452320237, 276625634, 229221944, 822518140, 122637756, 259083325, 671272454, 18810454, 45922660, 75887761, 136070596, 354113298, 687650207, 84826595, 85478956, 626732277, 559909038, 613667178, 602105316, 351649628, 681929034, 997177345, 436898485, 516821974, 847005496, 1034656019, 230957410, 312819889, 221942178, 1014775062, 60374246, 991963310, 271706280, 253420161, 996847256, 624207110, 141068919, 493796824, 782282492, 558526476, 169447955, 989879619, 856018792, 444205826, 632569695, 220368337, 848663297, 119486864, 854672225, 817773198, 423347643, 21427267, 707075555, 916525242, 550342160, 590426269, 137376259, 590761398, 34967286, 467770504, 1057780846, 988391001, 837501353, 502443230, 1036225089, 1054882759, 869413935, 366671061, 445895626, 404511242, 518746138, 775349376, 361329649, 557965776, 764661823, 691941379, 981049357, 239096518, 328576452, 568514317, 389094047, 761898915, 800161484, 501364090, 999865280, 466812718, 766243211, 719877726, 394539048, 664981155, 808030944, 474322850, 958711165, 107253653, 853806253, 965681843, 913264682, 205222565, 929503229, 920466719, 279268962, 805218775, 19748334, 19297944, 258820200, 411027243, 46273567, 634155555, 359633494, 451516370, 902265520, 830992759, 400724997, 516573560, 430561741, 1056996146, 697463127, 711963407, 482272253, 900795944, 788567586, 648998287, 148505451, 983418148, 94748554, 398279046, 466619153, 492725799, 39125676, 186050900, 237666059, 1014716368, 599144842, 975116067, 610004695, 929272648, 780597221, 244900869, 286328828, 302371632, 526068395, 462761636, 780160169, 316045527, 193797697, 574724439, 698578907, 901734391, 97085363, 177683426, 413643512, 832876567, 992910095, 1064107604, 52501168, 312652038, 195811535, 575250493, 711240778, 980169258, 930682796, 323272262, 203350023, 789604357, 906205014, 472828735, 143010010, 1043588042, 160611474, 942661957, 370352669, 40780776, 1020696566, 415285320, 594752093, 667820752, 110502726, 859551392, 667191032, 1039090954, 460448299, 672679948, 453291879, 246789337, 130066128, 854054862, 98458305, 427776901, 106590416, 757830317, 769766432, 106429512, 719027697, 26806570, 612678863, 405435997, 437707113, 705354193, 766613702, 1059555569, 716825301, 356363753, 697028191, 19131023, 704342114, 824214412, 934252121, 957662982, 1000582358, 262648178, 476032113, 461125560, 79799433, 116072818, 914530546, 76423872, 12669086, 222889781, 777164999, 274239238, 888513945, 650754902, 224552974, 180485507, 211654679, 364353993, 532948956, 868819278, 804597171, 413383419, 993143458, 759778300, 939147369, 129221116, 644084770, 407015269, 196193811, 323473782, 403929373, 440277597, 359023306, 157098751, 787139433, 980897514, 27925570, 863001321, 170691854, 62661089, 843258248, 942610592, 854949404, 607174038, 986481877, 772472308, 38729760, 754745793, 735450522, 854538670, 94714841, 207886521, 220199898, 278835373, 388662089, 736308184, 456765908, 615082729, 43557179, 138612027, 185247026, 517580882, 621955262, 574531327, 193648769, 366288477, 504941343, 639708711, 327414724, 315305269, 952692333, 361769757, 876382334, 498857130, 551514461, 579017452, 418929631, 429307472, 1056257810, 881090972, 323794193, 15537467, 424764521, 30882959, 308934173, 384267111, 668560297, 926145399, 817660400, 1030968615, 1013103677, 1042847991, 1005641561, 1066214376, 648565208, 328664857, 807468311, 567372391, 162454723, 835744088, 870503040, 662380326, 687628804, 390769339, 25839886, 251792753, 782868496, 4194620, 914357466, 158687861, 1006908936, 148423318, 752033054, 562523963, 766826682, 603901557, 819502870, 457978402, 153173051, 98172360, 352160780, 241899323, 448700600, 593483697, 855788193, 960062751, 398023738, 464647476, 321213624, 687552282, 729408818, 467911293, 373205714, 900002376, 557581333, 923689844, 479014946, 739799918, 77877300, 668997586, 842161210, 21006279, 503508141, 1046492336, 396290926, 603187347, 378441018, 1050492466, 1054433731, 608365133, 1061841390, 672307563, 441761783, 397272227, 404416106, 52346589, 789034684, 671684012, 621838034, 948426681, 973122955, 815453213, 324757240, 910758272, 902883387, 155447924, 666267747, 748750512, 704383401, 260887588, 419690680, 586340660, 544038202, 472762595, 58493129, 1072360756, 572832591, 487213984, 135074434, 435827014, 56860169, 434936572, 59295335, 841598179, 966640035, 875744494, 624066039, 1060481117, 11033269, 132755018, 675353022, 517275161, 940358954, 987662302, 70888975, 539374801, 694211579, 39873086, 1014816193, 564382769, 735795061, 223168785, 858869617, 222543519, 1016032819, 816325901, 863502486, 627481701, 607633317, 842170363, 701808197, 144561820, 476634500, 1009676001, 345751854, 226681539, 70779657, 245021646, 277136792, 680192221, 852413797, 969519391, 504322132, 383445618, 323312171, 450918906, 902568678, 3412578, 154083062, 858156074, 297393930, 477881262, 507242939, 674240081, 1001187799, 580817010, 215299825, 244884731, 474855081, 594593574, 13034087, 80216487, 628550116, 439689936, 681733542, 964907143, 1029397356, 328029163, 354762016, 60490973, 1050290952, 929897310, 441297381, 895139589, 911881730, 418199602, 993821105, 531035405, 766937474, 734165616, 349862867, 798402866, 448591489, 278877416, 208691989, 802860949, 91315457, 990814301, 978125540, 402280194, 375053996, 40110488, 70410409, 1003180602, 20229205, 321948085, 131245596, 1012471625, 658531753, 608737756, 1050909335, 578955787, 938503882, 297403948, 906023513, 295198539, 954275790, 811485478, 135431600, 571865654, 336692571, 638333983, 210316260, 516372137, 886961933, 578662012, 336248401, 49418259, 485958037, 563868912, 905748197, 3354494, 200873440, 421677526, 395318803, 903710910, 763151691, 1069821053, 671067968, 583471267, 430892460, 56356163, 886495276, 920621072, 1044362894, 765034030, 930452640, 973490298, 971430786, 1026438141, 394249489, 110928591, 687050458, 233925558, 130351555, 1023231274, 366783843, 685729776, 659364532, 681263922, 122071610, 622379146, 821649234, 625972769, 283277544, 115256949, 950212374, 651209182, 288709174, 781681273, 488608971, 201027751, 447822294, 268381982, 526059117, 721812051, 427745538, 203824500, 349091517, 576620541, 215507885, 662717062, 398630594, 604710607, 186655451, 100849238, 769846391, 768849713, 625137975, 258311775, 217359999, 2634271, 141239196, 317559563, 668322764, 908586762, 51290015, 887781686, 302996143, 626495237, 903035563, 648883716, 373785491, 814055648, 648765987, 953006174, 148252071, 562915110, 293231695, 819532255, 857841780, 588156067, 1053685667, 1052929538, 920300752, 980602117, 774437395, 715251263, 284538758, 880240271, 987817403, 426780667, 558555542, 426071041, 530686071, 218753910, 609926015, 369097867, 676843750, 1003846983, 207640039, 324589760, 763271331, 572296431, 746126476, 107766417, 271499292, 744589802, 973879768, 133293314, 248454801, 733193117, 920654166, 1057851599, 137989071, 736741875, 868825429, 767348878, 215171965, 641378799, 211633136, 603074503, 603468218, 1061367122, 935657608, 1032256010, 691301070, 783706628, 753278144, 663295839, 600416014, 168054142, 1056430853, 873685813, 554145803, 303450153, 657154950, 501293985, 348989774, 701477244, 1009286773, 1003096963, 1006336858, 1036700017, 695992276, 1059520729, 793366779, 913396729, 788719709, 609395669, 1008785156, 505088217, 791318612, 529171009, 535555725, 1056211434, 605683050, 399551132, 223455111, 547469872, 553787384, 304478209, 768807152, 115215151, 946962822, 226242285, 605244235, 195823882, 505739395, 782755650, 788702892, 399745421, 59483206, 940384491, 444908857, 145051906, 832608258, 112412642, 399649644, 55943218, 546001590, 212543897, 173898882, 393416699, 96631157, 579471477, 993302867, 866969936, 483477883, 509932214, 916930648, 621593912, 520079183, 1046083449, 747019886, 48569127, 615132268, 957690502, 951846813, 271169136, 883316358, 611500513, 392785870, 547778473, 681913720, 957287180, 264088875, 13973744, 351032094, 136847195, 259688823, 991117327, 745974782, 248980413, 287299267, 452313893, 951299510, 892612571, 450965162, 760496251, 676761550, 450064928, 547987125, 424736175, 315866258, 968696662, 509222452, 658257722, 445562190, 969707666, 536297874, 234694584, 778368252, 568237522, 490651301, 323986779, 349936040, 715442236, 890611050, 560109323, 859588167, 868543241, 322049828, 719705307, 119929050, 883289224, 249031123, 596000595, 638256876, 31102862, 611004829, 638376999, 419410186, 216248196, 465058266, 209072450, 820378730, 409216350, 687749829, 454193206, 219549330, 877728114, 210811704, 951383443, 226689115, 707628959, 269032177, 760270724, 834019569, 376240925, 352390648, 312712430, 524215253, 1032956768, 755368622, 1010432979, 1071297302, 166388358, 67908831, 109823801, 1041227510, 257019178, 39656287, 30206578, 467680374, 14148673, 373485916, 691338793, 212611619, 142937296, 4054323, 694523625, 523609218, 810981424, 329561165, 114319077, 960648354, 27528514, 377540538, 36133194, 272316585, 92654024, 652306535, 381659749, 141671207, 1029263952, 393052162, 40851118, 25858373, 978050332, 703871468, 720844074, 835447628, 133517904, 141816310, 205341396, 468128947, 966177040, 484910941, 124429452, 393781102, 520946505, 343027041, 356887726, 3652115, 821569412, 547420035, 412648219, 327919916, 30378186, 700186961, 745601908, 541895634, 1039264370, 1007019540, 454504685, 945866946, 678420160, 137514039, 240762396, 199010879, 763250272, 166084008, 380180939, 422397292, 979904649, 13932844, 457258430, 810598054, 553684730, 72397475, 937239573, 881363002, 1004090646, 93395875, 36388804, 432205071, 46088980, 906358672, 798077201, 90851984, 53593985, 919904131, 992561424, 777705730, 189575925, 672934262, 317062909, 1022249981, 216101784, 491456119, 935871446, 307473292, 12341602, 74672450, 773563330, 255476441, 474186537, 436671677, 297480945, 995589444, 795341409, 356035500, 439822791, 104824943, 53356251, 912231291, 719446980, 1034424025, 772945553, 36479254, 461420969, 708899667, 317277356, 708863412, 253334870, 194248398, 161065722, 350683048, 616671007, 247268220, 986916709, 279165508, 187882638, 599454887, 843428720, 283793613, 895491252, 83985203, 957962584, 638582999, 33697799, 652058749, 529511983, 280741525, 581843624, 364618563, 929650319, 602496037, 96553858, 964120113, 1056194582, 397905241, 578875908, 441879460, 255348481, 190585888, 762950883, 350626196, 462196721, 462007894, 929230889, 960434693, 537776854, 365688234, 253563600, 833141427, 874485123, 647895388, 152680997, 506075115, 636953290, 98602764, 388894565, 881634748, 623890951, 318518848, 336493321, 48846063, 1057863704, 995230074, 417836685, 65905236, 651267451, 356842477, 1001383351, 475685507, 773613093, 230202582, 760153816, 678646311, 55398032, 395652699, 386224585, 705085624, 725245479, 88852872, 560251904, 757156083, 282236400, 481915155, 477265857, 577106386, 467478127, 968452978, 465355425, 297778436, 1024386969, 547136534, 312757950, 1022325502, 617582260, 246299172, 1061333578, 860289569, 716660842, 190696670, 67427698, 927102472, 588196392, 1045825950, 387147463, 211344997, 821456110, 171144075, 1065294734, 1043598477, 56432794, 299151055, 193831893, 286210478, 487504200, 133100978, 675261960, 276195798, 427069361, 673691968, 1002014231, 1058588134, 671999225, 292450643, 785289018, 1058002120, 506827448, 463731574, 1051045260, 373537479, 283437275, 910615783, 998038094, 952603223, 286468094, 176525937, 970703129, 990957130, 68741921, 992003421, 897558196, 650778542, 408095761, 806044688, 659941857, 997489692, 531409865, 537412708, 277409959, 188475851, 432545337, 625021841, 793997049, 927788136, 682550244, 76584758, 1014525763, 972764681, 829190789, 869433592, 768720913, 784005630, 699949948, 181316990, 440856586, 791947203, 317190916, 1072763133, 856099278, 705720093, 891952834, 444261332, 1041605346, 735736676, 880994408, 701686392, 130464471, 369931362, 917551959, 924214282, 719008478, 820463058, 364864726, 6312073, 318027842, 790789968, 529964238, 37703711, 659042312, 235610381, 170146500, 448812472, 201371143, 1002040980, 165492816, 13191563, 824264905, 82253964, 528030183, 846576095, 248441313, 1016965080, 432047406, 294262837, 583079100, 720248572, 358274692, 805399140, 83564288, 544377612, 693213636, 990705904, 595194926, 542596899, 762480286, 913446345, 482312069, 704205892, 973428962, 425141932, 90451565, 701812925, 693707766, 962940006, 973652588, 253789612, 700824805, 268272161, 159136506, 262683786, 252316329, 167135997, 618312234, 396859123, 947164553, 837165469, 175643955, 144771654, 410687363, 141740120, 593902546, 463278629, 338044436, 751233284, 801517470, 869137336, 119472338, 94072352, 61270763, 809096997, 521363144, 269320960, 404266268, 990552439, 184013685, 604824767, 722684313, 477398915, 114393899, 314713583, 368458293, 996837270, 808475383, 1008647774, 674905850, 685311856, 923186536, 47038586, 609211079, 68507465, 918291687, 828817926, 1027902871, 547578625, 774687138, 35799835, 919949446, 925442411, 687256225, 200169711, 1021365897, 932147694, 87702236, 957972228, 168177339, 556271675, 56173277, 997833289, 966601475, 936581635, 541808507, 727684315, 1011052139, 74318483, 194473920, 508279159, 776129091, 331118001, 339018290, 57398123, 479815813, 351799394, 578629997, 665124306, 109153670, 656971642, 1056668552, 721547595, 995867566, 917089517, 1073241125, 65667293, 401531104, 149804835, 901444060, 41014764, 7153852, 165514513, 442028200, 324132556, 218339178, 771930918, 96182307, 1063716260, 964941820, 563213477, 189035621, 585554255, 103275717, 27121436, 344246548, 938808903, 595858743, 727195033, 621700208, 372930743, 818208599, 952081503, 764854459, 963474067, 431002410, 1008741421, 498012008, 508034248, 897369140, 866782296, 831277410, 39582784, 836582063, 99310161, 525165700, 1034507197, 956279692, 900550150, 604976993, 102238952, 406370944, 247098819, 619573740, 854530113, 583395644, 893570490, 454115987, 774579677, 1005722858, 48545770, 780542546, 316111497, 467657237, 409636412, 63254475, 160724980, 751006581, 536691682, 930837646, 994763133, 420150245, 266164023, 343824923, 730410540, 158654831, 915572568, 731757687, 948350121, 993408523, 1056284792, 1014107441, 193027444, 910757232, 775146597, 746260088, 891712901, 467385231, 347268217, 794738458, 645688746, 952137672, 26078474, 951003596, 137028272, 1068332837, 733505770, 787123302, 922207431, 63965388, 111016183, 463539414, 640985537, 739811207, 402700665, 593885895, 252461530, 602181271, 481271870, 1027956573, 988956817, 984973739, 557106836, 713342548, 73569304, 313684163, 336713812, 674596012, 610679089, 982585652, 440175769, 517868908, 944926286, 1067721864, 952028962, 330096344, 450700243, 831374208, 99609500, 31292771, 547923537, 1073179124, 522911512, 866970824, 419105679, 186918206, 181133617, 165875986, 1032858273, 38369527, 74748103, 1040910176, 500780859, 374885852, 918408639, 82634319, 39822564, 784529125, 392759055, 529711189, 670960169, 971757319, 204530441, 464191947, 1030230483, 484412170, 595036546, 938087085, 1056830924, 918095812, 748911929, 727281502, 255766629, 648526905, 858748775, 393988214, 781585400, 12477342, 308810723, 916896385, 582143345, 816967772, 154001728, 99037848, 275856402, 157105473, 74789769, 347768569, 103231902, 862151312, 1002990748, 703825164, 94909502, 389997359, 166124994, 1041600260, 245770485, 946365655, 263716248, 289491086, 502532476, 748990288, 198721879, 1063781428, 885750166, 13791399, 202096917, 785189339, 712657299, 328444453, 611350581, 102252583, 578359267, 239771203, 881581801, 163839589, 858318779, 753821506, 194674362, 350532910, 25632917, 815072709, 808244509, 540719734, 727646580, 583436588, 776804600, 940168159, 12297195, 523850813, 823403328, 506683070, 630741332, 517238657, 704217759, 1068715244, 700010520, 119105843, 686527943, 908415298, 882504453, 126874030, 968997706, 616031282, 602733726, 256406479, 232132628, 459746971, 666777570, 41836068, 164430620, 97893780, 693604933, 934749332, 414850649, 559310380, 603805314, 827291321, 348365498, 283005537, 497008863, 673062849, 646752211, 850210220, 613465170, 504666620, 390577325, 1024087706, 952890752, 197975453, 638224221, 7959005, 281989903, 1009947582, 1156979, 835532848, 479119056, 954358713, 66347095, 286206151, 632310503, 1014582373, 214823749, 349065663, 457726267, 413724386, 321370099, 503308536, 454572529, 35126187, 566072889, 946903421, 608124774, 677060998, 125578890, 715453132, 796494864, 999468375, 888251466, 348108357, 724477719, 830645169, 530784941, 739712507, 397139771, 1045183622, 683399654, 479400830, 895869601, 464170184, 355604616, 834271580, 665042659, 278012719, 853223827, 316845393, 108579424, 273707257, 162093936, 595482314, 147404714, 403644056, 448494769, 362523379, 1043321392, 51381997, 829295444, 518124554, 303008317, 884922290, 133893855, 667975279, 1047440485, 199120102, 164118226, 774976759, 82944720, 773831925, 938290481, 823914464, 552236310, 216341074, 726753244, 400329097, 1062556165, 639389971, 679259821, 1044269217, 296155739, 536170166, 76444382, 622946978, 260062135, 71126181, 286934145, 988856083, 748634199, 615936568, 457370989, 73502340, 629943064, 240207201, 850691015, 292340837, 256772149, 230640256, 942598780, 850081069, 690263058, 600102355, 721407700, 329907686, 1060791103, 161074008, 347527738, 291417957, 803949801, 961176552, 31105281, 662029936, 718571913, 687365277, 296228815, 27522038, 187236121, 382637741, 1059116164, 1062701886, 904098809, 359667830, 198198915, 572102672, 1052199967, 82145845, 690980003, 641963813, 687712355, 928093064, 564263306, 976449394, 247009113, 203983154, 1030480633, 1062976227, 915431276, 718307367, 324777419, 389290564, 125718001, 651044069, 972747668, 918941613, 922603132, 137394286, 488637031, 478505176, 498082625, 736656245, 477020414, 889858873, 968397022, 326009541, 654722642, 331603028, 338036046, 1040402322, 641201389, 503867002, 534356169, 702029404, 202508497, 942823323, 47514368, 601558477, 965360436, 464534668, 90656240, 1060547033, 505065120, 33543891, 129229214, 384171464, 546693065, 203349933, 178912143, 311497652, 361891966, 147473512, 919117443, 548024807, 299595474, 885260443, 380631133, 725811800, 473744269, 257406034, 740932590, 279245708, 1023828840, 1029027862, 590753210, 545578394, 191131551, 1018999398, 298176914, 879696339, 18891345, 164693111, 123084648, 1064151450, 352478363, 829144491, 638818591, 279440523, 446453780, 437004176, 75777454, 339023170, 453480987, 65732395, 376930466, 815468383, 638508265, 673698667, 562881997, 425756192, 400038025, 1041558564, 246767624, 964193251, 490229150, 937937879, 68980845, 1058463817, 276460003, 201306288, 591220130, 331744104, 10898608, 229360999, 541461872, 440519003, 9999731, 667751544, 858295922, 947185794, 278415474, 63341097, 262698610, 116404771, 29744975, 315295391, 198453454, 88294904, 735202928, 14845818, 897679005, 53741131, 255051438, 356101510, 100749951, 222256011, 343725341, 168153684, 526476409, 81220526, 313164529, 720245524, 141423371, 902766838, 55034459, 427929580, 683867093, 520148355, 528602880, 538637838, 866984234, 167564780, 377310585, 22611864, 523760047, 833379402, 548975571, 498297077, 497104076, 739297135, 631607576, 909262614, 392398653, 654188186, 515757720, 1055146048, 477135914, 608198375, 503757607, 276578854, 570923174, 498950838, 137462457, 6172181, 350331031, 724423575, 68927942, 84275972, 66976216, 920619746, 67829826, 821038076, 1022400369, 40335544, 349239857, 287416697, 90488091, 472133042, 634651541, 875256487, 914760976, 1032277766, 755192512, 117565804, 322322360, 168046681, 285959870, 396314640, 641021796, 877437853, 359113422, 848629137, 976876406, 293897073, 379633553, 973165564, 621123543, 384608919, 972629645, 261089646, 354903038, 1058937980, 278063243, 158895192, 462582471, 1044913448, 210451296, 334888496, 703307964, 601917227, 359899988, 929718636, 630146029, 443404639, 585038029, 777103296, 548569334, 1021938240, 602837158, 997754519, 115392956, 179214992, 267717119, 1020736235, 468011688, 809897932, 1045642286, 883128454, 1061748687, 454658354, 741373791, 657391296, 210349859, 599493907, 402458823, 787311639, 463646879, 615782914, 73458477, 638298708, 914346647, 704019366, 18487879, 1062988159, 542022750, 763748841, 307477809, 1053609849, 834229494, 190543688, 268828186, 397193862, 66476536, 714658234, 898182954, 439033336, 1069094230, 344485607, 625350761, 495596066, 1011835322, 404248828, 681712404, 913673237, 931481616, 933212432, 792355828, 235620565, 781122021, 571586356, 996694974, 67076135, 613964622, 464520975, 575404780, 325094199, 817858384, 918973848, 646919862, 707536896, 631849431, 336485428, 645349682, 667503542, 512772469, 489505520, 471059916, 389504549, 469975008, 227953632, 359442588, 1048168906, 1045413070, 667513690, 808488990, 809084375, 809192032, 849911232, 303406909, 609323635, 870746341, 298715960, 28491416, 241108613, 667437080, 39213427, 720921095, 504129749, 628299738, 866140749, 938174088, 839069808, 968018277, 433625213, 404599986, 275119364, 771619883, 17290374, 778868483, 543216144, 275485569, 260720545, 144017768, 458709789, 98270932, 849671837, 1067058678, 185568001, 895196312, 620763188, 547725892, 921273851, 385805196, 473896402, 528638706, 772044538, 948588708, 34736169, 100617282, 826083845, 380542806, 851478945, 648290338, 186269437, 148525213, 170361589, 364581345, 988743021, 437503778, 605954388, 514146427, 938793986, 255489522, 451570456, 721169141, 99978576, 510179466, 88199620, 546124425, 322000840, 195883075, 1003188580, 643774513, 63870450, 502771217, 714754292, 321854980, 154885541, 496448707, 205957977, 587599044, 403359658, 561272910, 547065029, 137774961, 704190044, 590393972, 636183855, 619360435, 982668602, 878357135, 174889966, 666847996, 687317793, 167128769, 382131102, 132460422, 656613560, 329061270, 368063984, 864046037, 20686911, 722332641, 238934468, 941782214, 5702201, 130458368, 519255708, 940288820, 101213123, 80232667, 1044049262, 265344871, 887158260, 672695349, 1012302590, 539568106, 234215400, 38760868, 867333761, 501376231, 690418828, 733462080, 44206116, 535703583, 813204019, 369650671, 474941230, 214431136, 506561767, 283209978, 93521280, 447737825, 116191834, 76413161, 1023700467, 678871316, 1070193334, 792516493, 434342722, 343447998, 817775072, 397494707, 84049259, 748607691, 656010899, 790249699, 182805269, 235691034, 303304140, 650992129, 495799425, 438897066, 115020285, 966669022, 77723245, 899097561, 686918284, 740363501, 84997806, 422128049, 211298951, 183852880, 1068451129, 42975054, 450518439, 524382076, 323645157, 248974536, 296486496, 784717282, 732532947, 278448869, 891831058, 304004296, 25886857, 89008150, 955473710, 1024353424, 999081718, 221499548, 141697504, 477951898, 466275737, 299313145, 746222166, 538811996, 738168355, 998050873, 242333083, 939435558, 354334001, 360105025, 3980180, 528435356, 970154083, 124387424, 555112813, 959062420, 1035812666, 144093352, 683765048, 632058777, 731846094, 452153421, 558920543, 14138557, 98771551, 806715054, 895923853, 633634426, 260442917, 179946131, 900538699, 1018856996, 677812843, 457006073, 136762774, 237784879, 1036754456, 997516754, 300525197, 888821641, 897180876, 540249759, 824099723, 179567534, 671536772, 37623459, 1000798821, 425937471, 407285906, 72177512, 986100609, 400422590, 289256424, 673543213, 508884442, 255720063, 825542274, 684108020, 86101286, 812224887, 375248328, 516950006, 158110202, 340208063, 232410009, 1021238871, 273188095, 814909185, 268486650, 479107211, 267869441, 855361232, 1008229061, 684224829, 107556640, 11604426, 143500112, 518248254, 326639280, 373122152, 931926597, 636705415, 445921080, 602264225, 25457303, 282260746, 512542361, 706461056, 731057491, 592352932, 16312212, 483474028, 287503347, 876031176, 962156149, 261006551, 466346159, 275504689, 612855055, 1032585431, 324721162, 697683009, 927126600, 301319058, 1033429394, 247028507, 742564693, 957901019, 987320598, 567668764, 875530640, 725950323, 547119878, 239161756, 976495813, 248757460, 234884608, 273322301, 131486786, 709772862, 258757776, 662492941, 27101251, 975546170, 770040803, 432516134, 978213325, 67581929, 1000593258, 1037319446, 411367293, 487352672, 330338390, 1057909799, 708843196, 715191165, 981159736, 230254575, 823052608, 79520988, 187472875, 868614605, 363850330, 1040403713, 251994035, 677148167, 229594183, 248026879, 127739151, 514200419, 231304528, 382478714, 1064098108, 698439122, 949996778, 1038783602, 882596180, 749811040, 445022286, 536153455, 413704992, 594834912, 928312849, 535623605, 655479819, 213405513, 904731893, 1044588377, 13061005, 239639898, 981786135, 212439099, 1038915069, 926311882, 1053537908, 391597097, 988652264, 242985355, 975277897, 969363899, 506324024, 518584315, 1046933233, 434506661, 1406417, 706730950, 580804960, 351933722, 715921276, 103477817, 130298690, 400163534, 973986833, 1054678632, 878937331, 530088371, 237916728, 682746273, 228608058, 391089027, 219203340, 406934266, 249097431, 827314157, 99559033, 417708780, 309131890, 47646438, 562991628, 647910421, 84405953, 797553443, 784970648, 1041276377, 263730175, 1005158414, 254582143, 466164469, 660041074, 515846039, 320785080, 289801029, 244327807, 980837240, 435646472, 881737672, 213385701, 1036616640, 890790561, 270803522, 1006557815, 7746393, 169105190, 186288292, 258310904, 264980904, 194242794, 846202048, 264128144, 870554886, 899428591, 58657069, 656320716, 432567273, 368187262, 1022953939, 497303536, 784109714, 951399657, 948179189, 612098445, 948268451, 340907093, 642197153, 261777471, 425116439, 198325002, 681671606, 157795737, 693411885, 679635626, 92648728, 210539928, 761030681, 224957699, 268948515, 1014660710, 890321225, 712434378, 404573728, 325715085, 222922157, 425273131, 740630096, 487748606, 489279555, 588125791, 194590536, 365972059, 625526439, 362818041, 616988908, 167660703, 875441119, 121034772, 285457376, 972499005, 383920244, 693350358, 769576111, 1047236873, 174282236, 80186569, 454842821, 367739518, 588573591, 350700527, 738886723, 670479680, 192515166, 868644257, 955607921, 405803281, 994063932, 907380876, 90391536, 830257354, 606534363, 994099182, 879319649, 399259346, 365767161, 86578372, 1018021709, 57041237, 919081035, 290629089, 478285423, 451314098, 526897841, 722149353, 577959942, 235686897, 768607502, 798819520, 476831317, 841823887, 921507119, 47814734, 547106789, 31784185, 226643700, 293184385, 101255705, 958222895, 533821644, 174110764, 712811690, 784667561, 189113848, 143652221, 605117239, 103307725, 863819551, 286776455, 776383869, 885016157, 107868782, 274947788, 38212827, 213426630, 137428026, 806791164, 965892316, 209209839, 13161080, 855468226, 431088081, 288973033, 1008010959, 287573101, 294939159, 766131273, 368415815, 539362560, 823441697, 818763569, 676734340, 580689397, 962719794, 665608557, 9126365, 455621582, 487208319, 840422122, 782641732, 109630406, 731089764, 681093771, 604051071, 1030373517, 1000792493, 46397392, 450020794, 294079392, 794989888, 874752964, 584520872, 633450492, 79185907, 166231795, 931552906, 696920305, 328420983, 394778520, 2604527, 56484742, 20787714, 123227826, 85387175, 339130575, 1067192217, 989131660, 577774338, 842401667, 901198045, 98292621, 729154766, 343762592, 753790660, 70527229, 306022756, 198423828, 565959376, 473815506, 209159568, 699306676, 157277743, 348783629, 35487330, 242344136, 610183223, 570324421, 392813808, 766519256, 1056642791, 136795718, 213529796, 489631392, 1006098986, 638924504, 827448407, 563548636, 552633311, 526016070, 953770022, 640538770, 1021429063, 216282406, 459832206, 687767442, 922095650, 184445361, 695103737, 961502500, 1066358240, 770454370, 1063533296, 859113970, 27913719, 351400783, 66771296, 396483338, 198734346, 237323341, 207019529, 926766180, 167855954, 442693366, 728623939, 1005252064, 68068767, 183970872, 952844670, 532458963, 935930909, 122762602, 170268395, 256121188, 618044983, 360359084, 405732212, 600052245, 970089240, 583112084, 302624655, 128444803, 721297943, 645132796, 854451063, 414955244, 473389910, 922780723, 1047917555, 319137591, 685461263, 410609080, 64455988, 470743555, 53960756, 765930031, 624417098, 539759934, 533575974, 347023508, 675221137, 106374871, 28940196, 797952255, 286624655, 601595199, 26371408, 698648862, 97364667, 532328703, 364431771, 141075315, 565127253, 236447658, 154056113, 274031757, 147764945, 527508620, 502664946, 153812554, 385178159, 861657941, 288870989, 770011646, 50709844, 522667219, 12105023, 393952650, 784398273, 684684744, 700266335, 975382617, 634064509, 918753930, 1046770465, 802990172, 604882950, 171142083, 591851437, 782702876, 481622, 350176361, 578516128, 371446567, 588223566, 159624973, 1009095349, 258585734, 124153824, 691796791, 235536427, 32621156, 486311136, 900495259, 1017213763, 502177584, 943136719, 443484696, 751037780, 884284677, 212520844, 403751200, 630882219, 760402613, 3385893, 242909507, 239047470, 677093941, 909600948, 395864800, 754377390, 814327483, 486453279, 232376187, 1045170090, 629820381, 80702378, 316462687, 168344749, 565244623, 7375520, 568484997, 846967123, 418808447, 835604, 740456919, 75381762, 666474146, 15967329, 42764323, 894214220, 518052832, 85957589, 116309134, 164209353, 561564798, 872395931, 672036989, 953036342, 420088526, 761682876, 510414522, 301681141, 312684625, 553901404, 984595550, 511499838, 324842418, 117011524, 873282879, 297054129, 472482841, 705867004, 673232298, 774435333, 376962434, 109004589, 806856857, 509558789, 381466244, 935158242, 1024199455, 545299743, 222448529, 361655006, 891524516, 900349205, 249490836, 553435343, 744855511, 476900691, 144466040, 57821505, 25070654, 109610903, 615518019, 769670509, 802591666, 172501046, 398604336, 493452983, 167807505, 452392451, 404243346, 390094117, 918615821, 588842404, 586207729, 490436952, 226181804, 96257866, 591489264, 964499407, 498057977, 690565294, 74571446, 277437438, 858693227, 1008736796, 656439322, 42244109, 512024905, 655230570, 272962337, 744747645, 159499764, 596641463, 314768621, 1073478706, 416509463, 460317278, 76908284, 1002272317, 772861522, 477544059, 241258501, 680562139, 175994094, 478554126, 985070401, 339370243, 923113632, 47762934, 211685367, 972511645, 511162680, 819901712, 536212322, 368825360, 166831044, 846139497, 815109487, 41042956, 125691977, 822382977, 304515987, 144389975, 234532421, 395530612, 402353590, 155538967, 919501284, 847599961, 788889182, 412736565, 354308120, 301611597, 539367046, 352355306, 588333296, 867649463, 485698342, 276711856, 154378896, 368875917, 432978074, 114549071, 862558729, 251138803, 270752299, 825736557, 248464937, 88753974, 759661462, 780040851, 113056121, 80150245, 284258782, 682724586, 388060355, 307104582, 52881756, 1042072294, 820286190, 151820241, 229982163, 226214127, 75643804, 683219412, 13140630, 782440970, 669961371, 246775645, 189248229, 558346451, 287857667, 720796546, 747385105, 394771449, 1033579988, 484541243, 328719050, 762861342, 92719898, 215334489, 354064266, 510869866, 78540108, 906489923, 710120908, 706324141, 299523252, 759865215, 1008100182, 250326312, 184906485, 577861958, 510464271, 630693623, 976580727, 208744163, 170014342, 264753521, 334625988, 553118459, 677724374, 613575433, 110199711, 977832626, 429313172, 936600928, 386986556, 51257895, 404952375, 403972367, 999397259, 747181871, 710664876, 373808092, 342927467, 399587214, 620672266, 81874237, 179719743, 736557027, 415907825, 427882954, 67074727, 943726115, 855839939, 77337953, 969559654, 219083069, 1038186109, 565024599, 449988867, 612808137, 405385656, 312180368, 410061868, 902817700, 956795902, 832543872, 751907105, 1054038127, 510209553, 1051163547, 617357995, 452889203, 560692217, 996996273, 769504411, 614016743, 493569603, 646895561, 459551784, 778805688, 1044931677, 833988530, 373884025, 243471468, 28875468, 963055334, 425939320, 935061274, 1069898508, 573023572, 661268075, 983343507, 937187227, 903960445, 140970418, 555527502, 14630606, 20952750, 1059739382, 1064102515, 1027074198, 882309485, 503027873, 850459174, 567350505, 76532012, 1071201793, 810796333, 944890270, 780647335, 8333400, 751534682, 719273796, 927646694, 709051303, 586986372, 987369084, 580522231, 891431937, 1051839027, 173444014, 154355489, 248747546, 496710814, 201498521, 993279757, 581643568, 44407160, 701010925, 821078002, 904636852, 49890525, 835218435, 346679867, 61338864, 481397684, 613037487, 77218025, 746628901, 440127514, 893835731, 158767243, 576114165, 894611429, 539320748, 484383975, 279095835, 40466448, 465510278, 787732216, 871064139, 624090161, 74559679, 161562067, 521469885, 750800618, 781926237, 708587433, 609214530, 360504466, 199413830, 967741599, 558658110, 400379365, 433168647, 399964592, 899834339, 404163753, 649608398, 923031722, 445004661, 682405904, 615934571, 744249685, 728391531, 1035164577, 942930616, 225718846, 574863775, 446772483, 907586603, 374709831, 776272220, 1047641764, 827661944, 1071296163, 805704191, 764487141, 1066477469, 9638107, 39275072, 664027352, 547982863, 479009171, 6861967, 227987021, 758145426, 35108836, 167385455, 34295364, 69920219, 136083951, 17662173, 111774954, 870881489, 463645745, 203745163, 1004106687, 567136831, 161741557, 721169765, 711362825, 819757246, 899790827, 728385154, 714735392, 966224100, 677508929, 1061188797, 1007846765, 221476810, 710064872, 545054243, 381494111, 815027313, 886951046, 480580920, 496230279, 870514552, 188416574, 480759750, 101540827, 458687202, 728299921, 870805614, 275421263, 607529180, 504659490, 519311849, 314017598, 561454622, 494213919, 721920854, 383275960, 126583194, 660294629, 191858443, 253947651, 271598494, 211190669, 633196026, 930388783, 216800623, 203548768, 353085419, 817022245, 509966280, 757716359, 116108846, 775044055, 157515077, 203995749, 534200275, 964840997, 187992607, 849719433, 101815224, 580724140, 108938694, 390493247, 262019952, 1063179691, 106615812, 811151192, 537137669, 942118589, 206839520, 818829416, 681122368, 290476949, 140332021, 774837578, 680789111, 110414537, 335428795, 542207490, 858032294, 600566829, 227912640, 800954512, 116626591, 1005485845, 394067802, 435953148, 712135046, 348516491, 873227789, 369114946, 206053993, 63196178, 291950323, 104478635, 557963156, 463177816, 1021539466, 210319883, 946988306, 211418001, 975741848, 129248792, 376573797, 571343361, 1057421850, 654261022, 887566480, 484384339, 888061958, 45331913, 73629277, 382807380, 48700431, 499777111, 120759053, 810749072, 472008866, 681751726, 568583354, 267908059, 826023418, 459247778, 809457046, 941111043, 104331461, 97837166, 33809761, 316927903, 922456870, 859033664, 295554640, 572383176, 284123980, 118463913, 803491705, 485216519, 553539128, 728848053, 281636682, 861658320, 694539248, 749031315, 542941774, 755732279, 1050600153, 700823693, 303660582, 637279009, 888183706, 867563571, 664214941, 158069806, 205226625, 957639697, 158199276, 532754715, 944255793, 543945283, 793505189, 343369534, 359584076, 882862251, 378723860, 489999500, 779426795, 261817253, 1042656518, 989270951, 1044655422, 626415224, 1058308040, 850651274, 226025029, 13739221, 59110360, 515861462, 522127790, 221309842, 466922189, 264279585, 566486259, 271293519, 1016837293, 389064403, 392430140, 830154229, 976782740, 238856124, 711029193, 686973486, 307760480, 103247618, 103373310, 577881322, 877410018, 715292759, 587790390, 984713071, 563484471, 1057808102, 698508351, 557591836, 627762193, 649346265, 933738087, 1014284831, 420152880, 355286160, 168078936, 393852042, 482791316, 65119859, 672198452, 626261257, 437334348, 908224021, 574313242, 1034925597, 165928570, 614203023, 109496059, 572594930, 299643847, 86493821, 281310491, 312298032, 211683432, 890248589, 504312375, 690823736, 925216063, 855554073, 193068856, 126922715, 439682293, 622357992, 1067564634, 539106893, 569371516, 344770542, 656331692, 532426019, 680412691, 239794978, 682967319, 645582733, 90047161, 54512900, 797251771, 911364668, 35357005, 414294357, 818620057, 525940240, 635108346, 695960270, 293358005, 132165546, 345813512, 20177932, 356368853, 55627371, 957989177, 214622713, 601259283, 901311071, 776750583, 262651318, 569920192, 182596063, 463066155, 86395636, 111778370, 918442115, 158653234, 23847234, 671012063, 615222454, 438280070, 583262098, 899092722, 92230698, 838989608, 453816976, 980175058, 848896168, 892908142, 301081545, 523999976, 755505592, 509340754, 166217599, 911374606, 857101368, 717189520, 50566089, 339156209, 848659133, 50254560, 950107041, 191032735, 208824330, 1057505987, 466148663, 999607484, 624079425, 911771068, 668964100, 882841106, 880417955, 839649199, 435080031, 947417335, 646617353, 769110523, 110211188, 343806719, 945983563, 696645653, 868963375, 979285622, 726113038, 511433409, 322504276, 532678835, 196311508, 28552917, 869080217, 904504344, 467276721, 984839659, 1059657717, 540423558, 900623809, 589272161, 399059265, 49816967, 251926499, 684803659, 337968388, 47732210, 773387719, 4078666, 582025917, 870732004, 120672381, 802541641, 718500454, 1073632275, 133058986, 457357538, 949503563, 419669314, 447016318, 903364805, 517432924, 861783692, 218574887, 668931187, 55010270, 444344305, 275039457, 113962291, 315109661, 898498218, 468519164, 459801093, 175549627, 820462836, 1016948180, 822494178, 617870031, 23035952, 677091538, 724077159, 548015498, 649909303, 987062341, 1049362361, 765136707, 646877931, 840255397, 80570368, 1015637, 357129242, 786785249, 691142205, 742266108, 807454487, 642099711, 896531138, 1051528766, 643169330, 172306545, 399366030, 993523844, 27652001, 756204118, 96844483, 813747043, 192135635, 321113910, 183968482, 740671253, 478380232, 760496047, 425907365, 265722847, 965329451, 519237726, 653762911, 585583883, 119578222, 549086128, 630292088, 21058847, 187135917, 626352142, 45270715, 383030022, 444849366, 176815252, 620286479, 518190532, 181188998, 830965738, 18473281, 526816506, 163070322, 224573865, 272096692, 481413861, 79293772, 560150194, 239342877, 4216640, 1035559056, 400599739, 281966324, 446121742, 708478813, 319889262, 697015233, 995773383, 941704098, 434007014, 588373299, 767484882, 975523847, 507871344, 325988496, 668773928, 728747182, 640935619, 700376744, 673311221, 1069895008, 24137500, 448751060, 1027720508, 574515399, 1041716563, 104056036, 1013511261, 933602185, 722894212, 882276259, 734614677, 490486199, 87479411, 1009786404, 555944024, 235705335, 406903090, 272522534, 244244121, 736157010, 255603040, 149373764, 217849869, 113731695, 372925702, 374916084, 32043874, 214131021, 590919211, 998113308, 387754115, 115503488, 551437163, 738190987, 279191637, 42709804, 463807238, 51825335, 86259605, 986894465, 774963944, 40329016, 902759062, 173454321, 121831410, 744870621, 553598879, 420321740, 202799337, 91881916, 909501970, 831709494, 237088036, 499996020, 281875039, 528300004, 399054689, 958244978, 133324093, 248825157, 725122373, 384595504, 274656351, 738510756, 1069870736, 1057937882, 736596053, 858725516, 1049326761, 190675731, 601469467, 263737844, 681276308, 778333657, 590944172, 381369545, 776992146, 805435358, 767090533, 201970750, 1060266301, 165795704, 789178944, 803299795, 957871041, 1052586590, 579089898, 568829815, 86657867, 371002450, 428696917, 46881290, 52802299, 859132445, 303183687, 64220668, 25361653, 848884434, 161692801, 307353932, 936511548, 1024456023, 231812837, 240368522, 764147338, 685509965, 32114530, 197322835, 578076278, 258116471, 889424276, 998614282, 254950497, 587739637, 375218350, 522023078, 974687795, 956252346, 976012804, 323762749, 341048894, 463665647, 910121752, 6265233, 163476255, 977386564, 444148461, 937001350, 1036261233, 596025721, 898890300, 623463435, 881725569, 229425191, 837410698, 267901842, 352749914, 122282455, 16919281, 487014956, 189251751, 641400593, 909255888, 983625499, 479757078, 14969287, 760039920, 62973641, 749076769, 407884448, 208892792, 872265843, 197539905, 797474596, 27306715, 309761528, 327309844, 173583035, 162280327, 93731157, 56506898, 123696549, 566549696, 577242262, 381612475, 650365680, 416141977, 599527542, 892734003, 236676716, 664183312, 728135657, 541421900, 1015271799, 214953660, 379120244, 234439526, 997046034, 764820340, 448223659, 436050770, 311117719, 589990329, 88014481, 689880058, 174258041, 308122769, 92502238, 465463016, 371268971, 473948916, 485313126, 889585532, 389628826, 83793122, 524046681, 193558383, 339831089, 352451539, 951511904, 244398155, 111278773, 767544477, 560141144, 552583365, 89532858, 836012327, 159596335, 34123667, 803087764, 273974462, 331121271, 461614536, 610092232, 908367855, 100926767, 367813106, 640694089, 567237630, 485014474, 955413350, 640281303, 92680743, 492579160, 547626574, 885329317, 404977242, 302560136, 434534056, 795510120, 400776440, 1030162998, 755025221, 1069245403, 186581878, 143893913, 570558507, 827995284, 994472798, 87461619, 477770837, 486182478, 80920049, 22658399, 624377025, 1031384127, 381967874, 680814126, 737242942, 27793874, 494540536, 676416713, 503059545, 1002170996, 773771203, 256216871, 553067065, 1038943819, 651094213, 1047128450, 123432325, 210248596, 911033691, 380713424, 383004222, 605845225, 1012532499, 402446164, 507324687, 353077248, 1010893243, 501728437, 810008919, 781262381, 985331003, 1050499035, 80777715, 41717207, 1072780880, 514613241, 854903681, 300592777, 282301871, 243142888, 237647912, 875317411, 113490712, 374491225, 750197915, 134469476, 998653892, 376040984, 908619230, 144414256, 88420793, 961186059, 749197187, 1045740849, 350400558, 584366953, 939337059, 858248288, 1000918156, 774734709, 200137563, 673153325, 234038208, 113636348, 901250396, 618489414, 727814511, 164027962, 120977142, 548636477, 382474942, 51560594, 284712125, 408240958, 327732597, 623098367, 26938494, 739607149, 761542588, 843376460, 716044208, 192998511, 888946869, 1041399615, 57161034, 905449073, 386797439, 311084531, 687882574, 501912763, 298454981, 640632313, 873849399, 863442230, 620800247, 536735309, 1065195598, 1027881800, 994074425, 498474101, 916089173, 959981641, 1069353225, 128397622, 1034411230, 335575612, 1042866615, 256059213, 1010583035, 676825703, 995909651, 361239625, 1012427557, 137194717, 1047633936, 665044398, 365248952, 628024512, 750167517, 159219594, 440754702, 388287316, 959298016, 510982577, 410286566, 349578072, 888267061, 931119620, 696552684, 937216452, 250435114, 869523151, 578708816, 477624578, 838218630, 934636843, 914111191, 175634232, 841510939, 656366778, 1002637715, 52605647, 33373058, 579206530, 592060559, 465851164, 686897206, 597054235, 284072606, 66562277, 890215089, 1022976773, 18094406, 111535562, 302628081, 1060880193, 449817298, 585338278, 682433852, 230665853, 604748293, 747498119, 213770910, 753351361, 526872684, 1011298098, 479204096, 211182221, 182086584, 428308852, 246565499, 101760415, 861364534, 124736856, 825327828, 771305682, 224777084, 637112647, 993811292, 685039531, 389839794, 451107795, 772365072, 374586621, 336439722, 419675522, 652592329, 786917153, 102025051, 1012019323, 1043874535, 1037092497, 939438494, 491808833, 856527696, 991905825, 217454400, 209618233, 1019123916, 90329853, 1043686117, 735766034, 334050100, 347963628, 724926709, 660289348, 281802605, 311006225, 976355865, 250198542, 935356746, 811653725, 588429572, 59784986, 397181576, 596842647, 80891680, 488289555, 784351314, 1024850028, 72728672, 251050778, 1032795500, 445538806, 987460321, 176486521, 487708417, 761673180, 880963334, 105764178, 635461906, 709231195, 623966698, 715459840, 4745214, 947061462, 393445440, 548666291, 945029670, 867601611, 884322716, 909532704, 366636749, 657837667, 894296053, 288078307, 442275046, 683613819, 752563300, 593331698, 537532031, 1020696865, 929414294, 772848049, 553651067, 1065611834, 227074816, 1014389245, 483977541, 772146138, 81839632, 758646832, 440210528, 664005657, 353806158, 1071154443, 741079899, 809455596, 431620636, 677035751, 329626352, 851385652, 417825398, 192349504, 469574714, 179354103, 726055849, 833292314, 538085714, 329561116, 681677671, 441651341, 799420426, 1010092439, 1006288406, 402933708, 83056836, 530214478, 573206678, 757145016, 825901841, 187722855, 110786157, 1043064497, 765413254, 51755584, 62318410, 988327278, 271385845, 337070187, 76185425, 368841851, 449588315, 132398621, 998659664, 116421123, 894242179, 935639889, 183094584, 372178860, 229180620, 1006466074, 112646087, 349450469, 1040354630, 820851006, 545477849, 628618592, 986440105, 519961189, 594686820, 214255360, 967482133, 755144315, 275081491, 515836839, 696819279, 170890045, 1036110267, 295024510, 406320640, 576520412, 838625952, 66770040, 471364952, 605763509, 937760908, 1049272741, 662460952, 807571360, 547153863, 1052916574, 283865101, 509110716, 186554123, 304723457, 564600061, 701980656, 545519309, 694361919, 273015690, 802657799, 645593229, 274502916, 65077020, 411139844, 10532279, 887067991, 698493041, 295779097, 505008495, 778680577, 156057925, 594140629, 599017716, 304465579, 711582560, 87437129, 535870414, 597540912, 414690987, 94914269, 844328152, 514854071, 1029750070, 883391582, 943795068, 283651744, 1055074894, 345191553, 530921355, 340358551, 627709513, 555114899, 655213337, 566632291, 529772012, 113415135, 251166695, 894330589, 614019436, 11653313, 618227609, 348216149, 851481414, 1030203775, 390822798, 649621955, 635066127, 537537754, 918813017, 270036974, 381258936, 329414168, 723202621, 463630510, 823268084, 42777757, 756633609, 107934503, 92488510, 631979074, 839975760, 971349459, 416450671, 243641315, 428322742, 738925024, 82361827, 852719106, 87555631, 325305779, 844493185, 386452196, 452515433, 513632622, 499687702, 1022704930, 33018054, 603016854, 109115876, 519537596, 108994817, 1030889281, 91425870, 161215347, 614255616, 460836723, 798931744, 463973719, 70396499, 232946851, 384973752, 942287173, 942375835, 523475761, 886475053, 178748465, 191027420, 955474045, 114980051, 133243217, 905087950, 44298860, 123047722, 733122271, 312115461, 655946566, 911762001, 395752702, 42479538, 131350949, 993872101, 730235324, 343689375, 204475307, 26178574, 169208765, 678600461, 548286552, 870002255, 370840401, 511573447, 778097693, 33815371, 977108292, 654858470, 465357108, 620116344, 799798234, 216405266, 13514473, 227306142, 542870339, 886968666, 859439630, 632254738, 374417048, 473600709, 496730740, 900882717, 344690857, 836749812, 434606145, 839616676, 1064496695, 253066994, 768493463, 761220111, 773984709, 153341996, 1060089734, 572653467, 455049769, 257968171, 217295175, 298626514, 256096278, 492697536, 572620227, 24969367, 957419609, 299355354, 196165052, 244490575, 120534652, 921451051, 554002784, 605619823, 1036679872, 406767915, 709237292, 56095153, 623816238, 79110710, 553758594, 208347105, 172099346, 321524167, 695219995, 1020857201, 539716772, 665314250, 222443423, 305526884, 951020927, 973711414, 95488838, 252545829, 363533221, 652506515, 496925303, 26388897, 49598412, 496661680, 515241632, 569756023, 667209364, 235461577, 715605843, 744172812, 325059216, 460089759, 176620824, 719288762, 502691913, 1014232441, 45122271, 62183587, 199702131, 306492266, 519407962, 794201549, 411646292, 654436932, 183643304, 891349195, 987400698, 564869527, 413007370, 1051058688, 193434121, 859682611, 70533836, 623340929, 717850047, 794339379, 319355242, 676352347, 850169727, 325663357, 935909367, 139627235, 358655677, 505489306, 638216089, 755974121, 174521598, 1001514808, 1011023196, 740454013, 949383332, 971153490, 864850781, 959210800, 164306202, 540779047, 114949632, 766422275, 836247941, 662424651, 538255152, 1013598828, 389222951, 914003515, 913849973, 592584933, 260791027, 152961235, 874399075, 255584111, 201614022, 960413278, 940600217, 344946946, 149907127, 578608313, 825885095, 163743496, 403202340, 942145091, 180476015, 532882862, 561880193, 212597020, 967892030, 934279036, 1046046504, 758896689, 929810995, 1035838230, 189674124, 711049664, 540096148, 786361576, 154791545, 1017558803, 1048192815, 45966673, 637537391, 321404744, 648657351, 544603213, 889499858, 370627309, 720094690, 18701312, 182463480, 675391996, 392848935, 369120729, 767855597, 334805330, 324657060, 633781753, 668067071, 148633007, 602037547, 735965921, 407536396, 150354912, 930586759, 962604948, 729925710, 404748973, 1058414354, 390467466, 475296653, 302662946, 387204995, 16955219, 486373404, 367744518, 1033124995, 998958826, 635935870, 835677776, 27100730, 824428212, 217870584, 616266633, 199063927, 180563189, 60096524, 605352940, 1008458104, 244457501, 980227358, 586170391, 22411248, 839817381, 293738630, 345830593, 43649219, 951187226, 1070881015, 442107337, 998089659, 813041783, 396452270, 155958622, 122749894, 60831195, 904895130, 1056159672, 456393878, 515784182, 288461354, 762771744, 915546505, 730446953, 465777228, 50847696, 1016095024, 591020747, 545575649, 707522624, 67516399, 426461948, 170421917, 1054944877, 226629373, 910779903, 688663739, 1035688375, 631009311, 618989213, 209584878, 83651295, 442921921, 5242111, 974321125, 308253737, 608249677, 814435467, 746169012, 699332641, 733062235, 894664012, 626064237, 353844682, 410471069, 726761924, 353447333, 717005581, 893179471, 386757624, 723971123, 390106714, 722019444, 520152360, 317270343, 769790500, 777773028, 365081108, 359842277, 383685676, 611389664, 895068818, 1050551201, 901574667, 700449514, 301852654, 830122105, 348175831, 169029854, 296379624, 589558888, 975745769, 752374562, 278278854, 31861244, 576375343, 845781437, 53732754, 223357566, 1016692034, 981143578, 1048994474, 273229970, 347563880, 302891429, 551201560, 96265147, 250455237, 288634412, 32494764, 1033065689, 397563951, 246554200, 365688440, 504314438, 613184525, 63876451, 290942713, 647524525, 554758686, 675619841, 1034057876, 1030758326, 309613983, 286759349, 548207161, 140849815, 697342169, 689778158, 240950871, 212494171, 865228780, 626464779, 149286289, 1040130490, 825076714, 145327513, 910434516, 330880011, 146791278, 111861084, 44751542, 1003327319, 738213011, 570014834, 156856024, 170504621, 51308600, 590354814, 236414032, 550306755, 486232661, 321468517, 879255925, 798905909, 152286815, 1007529321, 964313920, 394802609, 519921790, 824596037, 479599849, 84675470, 663861419, 142413161, 240647493, 505274556, 935408677, 738611268, 854160825, 741976743, 457531278, 711187205, 300053963, 572591524, 810715107, 194748225, 472581596, 717941194, 623867424, 173548006, 417848407, 1022033971, 742311266, 418242999, 65169057, 784426475, 912922954, 118904834, 514109126, 265923821, 301539806, 248505798, 535830023, 430380786, 440111824, 132687004, 265706102, 546845412, 764738904, 38613966, 15953452, 242305354, 109841585, 897501811, 394850047, 763529013, 237514675, 894312323, 978720052, 420553491, 364175812, 995669801, 267505289, 697152142, 861755845, 801292715, 840258, 1002962352, 203781238, 254541413, 461804732, 964548504, 938455198, 253194073, 324938224, 1042107119, 343980345, 24389475, 626530341, 618030159, 565055522, 230254226, 762749218, 844009694, 321216281, 492308735, 260065450, 904249467, 73908829, 810849370, 877107347, 764987353, 779373802, 546845200, 284538946, 21901320, 521120574, 68284424, 155499052, 439910010, 138033746, 837000230, 982611808, 558960721, 863332282, 647079359, 2416067, 437286267, 900075766, 85657305, 690158581, 935552487, 977790727, 993716910, 822216908, 730046468, 688738492, 405457899, 808195886, 610824963, 721084331, 848251410, 683021218, 741784666, 369663836, 916168970, 1061833516, 752003356, 130733850, 385845472, 37174362, 553754185, 1036959661, 823435650, 389900401, 764259910, 692776467, 918214087, 556144754, 614071896, 668244426, 1009942619, 1068341422, 316899255, 34427300, 938572042, 182235563, 120117149, 653026218, 970114315, 795909679, 173880611, 876323560, 496788196, 378028375, 644816161, 464144274, 144923649, 37503526, 369411345, 446822601, 225788869, 993678203, 51426052, 6422245, 693793210, 720786407, 131216094, 645243519, 743846178, 121644150, 787736522, 78220905, 198659020, 411435644, 1039181368, 1001377704, 910146169, 879511471, 570551137, 596257086, 665836824, 515036244, 215428953, 970517150, 476469649, 67920628, 443838776, 880244128, 725121156, 172364695, 188890330, 27009744, 244583715, 968342790, 356968271, 918016279, 66256573, 650407327, 707301281, 426696097, 980680566, 176396575, 954913983, 1068580191, 256614917, 133685447, 440586279, 801369802, 751717830, 120014961, 225298263, 495614499, 79777455, 692684937, 951913163, 726398046, 577477277, 57484370, 823588329, 124986003, 944354567, 8300865, 715252028, 617317861, 211521517, 430125209, 240742523, 558064279, 625844236, 236569359, 555239892, 945641992, 244732897, 1049967955, 553579305, 574989698, 718512162, 667930754, 1071112515, 882629660, 19804684, 523385867, 493651600, 347425299, 990959650, 986841762, 478422768, 256292084, 758186894, 926483932, 778884723, 651834883, 271650979, 222096080, 480097033, 339062056, 981103403, 135554889, 315224251, 176219734, 814330871, 693969855, 550037816, 643358578, 634520210, 716903514, 807673712, 567639067, 166166588, 855218724, 535626415, 194575789, 63711579, 860457951, 1062966888, 178386453, 808241362, 603660558, 333501900, 617155104, 580606439, 662742210, 76862696, 1029164887, 830842578, 513786494, 35370695, 575976105, 953372813, 382065179, 175145795, 1058334338, 495243182, 852097896, 66567398, 963027088, 65264432, 366229373, 44338330, 1073102055, 157588011, 961819622, 676533793, 356828874, 176935872, 321334977, 458753489, 382892876, 1040616757, 1042042707, 968481397, 1037457682, 787273135, 336569614, 528823459, 511016310, 257511987, 302042141, 957646602, 567883790, 393423872, 85869068, 437843700, 934269561, 815332488, 621084507, 364431586, 1014162633, 774840897, 156397470, 429424954, 289576569, 1010215035, 945612651, 33367753, 20376178, 996743454, 878598195, 596080820, 992428237, 555117305, 473617947, 940526414, 325561464, 1040733498, 917366804, 926478244, 65164446, 837682533, 336954491, 534957463, 650581904, 433505378, 542641075, 786219388, 672268512, 166565239, 399727674, 72098642, 677092986, 239347854, 879593623, 513378864, 630178799, 840578841, 37176247, 163904392, 364698731, 1049993891, 625163645, 668179146, 676639206, 772069567, 312067667, 428967192, 58884352, 664131287, 274089556, 58170748, 414351665, 288782184, 672998637, 37379947, 489259366, 668307151, 224647934, 356179331, 812047413, 853513489, 923685685, 788635278, 629827150, 199653427, 256901023, 248818036, 713081505, 448444241, 324791583, 905362389, 998495828, 844451351, 1030806998, 695169451, 438235804, 921358647, 760755791, 520726662, 476947665, 500655720, 617904133, 919910848, 58050996, 276695751, 503219924, 53156669, 122118209, 260281023, 700032137, 4352767, 869602743, 934148752, 348911835, 1061103931, 43997423, 882544492, 790808100, 99758135, 524038890, 538928355, 678459826, 129176670, 940211892, 71407720, 76598989, 198479332, 788419140, 749147947, 335006275, 406607801, 255734454, 834714519, 330300025, 773571911, 708613992, 746758297, 363551413, 1011300858, 988695802, 902261856, 224849611, 780381091, 256282924, 910837060, 437395079, 399670537, 343303635, 890324781, 613702484, 115471693, 722602057, 126522726, 55274257, 28870749, 168814188, 520117876, 275753999, 575088799, 18572582, 619568638, 614859156, 478705269, 1046987331, 511685728, 894930579, 1053946187, 688492484, 205057689, 957604147, 123438670, 771034604, 865770199, 494273137, 282764418, 507939116, 78999848, 31972202, 876910572, 1046092369, 245364833, 512355952, 512503922, 395506488, 174764481, 669918888, 832428234, 626112241, 862886954, 484797524, 228276568, 680213115, 631041442, 216527861, 172834018, 775282232, 137700647, 7114595, 90930758, 834308773, 397310619, 391031553, 332309200, 949932483, 164824218, 298761348, 195658169, 484580933, 454322954, 154704616, 823547262, 309577349, 790490851, 605840568, 9059640, 765782184, 271408432, 1028325503, 304035787, 8468524, 808623203, 240326045, 240763829, 829676989, 916765226, 702509341, 82064014, 631462480, 1037148390, 273437525, 341967737, 251746083, 418053467, 634570135, 250068997, 748196714, 72633279, 161977276, 816071952, 1027374077, 507582078, 132674610, 147202215, 962977787, 169012451, 913858325, 688267763, 746852187, 944848085, 893273346, 775348198, 253208939, 166698096, 754805251, 1030155842, 383850063, 722274857, 751292186, 340496119, 968741436, 811491208, 782019354, 565305908, 687318977, 185848656, 201085494, 1024109232, 18178094, 342323845, 422719192, 868664011, 179480041, 294877995, 316404340, 18482306, 1040900350, 757942954, 691381536, 756479161, 129291959, 790641290, 517244852, 3742276, 158369239, 460336128, 316648570, 506340110, 6564608, 57863693, 429431740, 535550924, 91088224, 1066144712, 484817414, 947520582, 120412379, 177100313, 705319663, 782793893, 655941802, 937123141, 240407821, 257658278, 418082542, 3183018, 937680744, 458624275, 775795422, 100253629, 427699768, 414543989, 683228656, 57444893, 312511180, 377680961, 514113104, 365644429, 128397511, 205853608, 534595028, 903419856, 999048581, 529077373, 18276315, 826969367, 459104134, 614547859, 68769448, 673087840, 419759899, 397402899, 598795917, 656787465, 93774332, 472175436, 349078214, 281768888, 785219718, 749797027, 164587814, 47775019, 128837936, 349848605, 811686480, 948197173, 192543999, 107258448, 286940115, 791833993, 236183300, 676897025, 1068949369, 974701021, 907011798, 770554088, 321043836, 302597625, 102274932, 220268738, 899800008, 193876807, 924658309, 614257197, 291785883, 62344249, 468395274, 706627999, 566654535, 986679368, 630081389, 322653897, 1059111463, 527005949, 583545504, 626158425, 478779919, 900160461, 751893168, 1059281252, 587922751, 36007661, 114097187, 687056093, 909140658, 521093905, 463897049, 875592312, 116930184, 980655968, 831915974, 387263079, 123252670, 672328610, 576512329, 105773970, 930028756, 138260643, 515247049, 918749427, 1056379164, 550335094, 637921556, 569286165, 661744419, 312466253, 737973063, 613695963, 821083164, 112096890, 531941654, 118982323, 647568129, 1024283089, 964860944, 794628237, 760159490, 56931626, 661581928, 969717119, 934390213, 519606031, 299565949, 425270278, 106764388, 973737332, 680630210, 58369717, 926439907, 498335651, 615387275, 566343771, 1055701634, 959276204, 668320054, 698191346, 605276322, 576512121, 1042900320, 706964818, 779532230, 726067016, 595527137, 950434205, 828755402, 378530266, 926423698, 724832676, 359898290, 374213502, 872668586, 897718450, 678636415, 865118095, 858497811, 813556814, 540629954, 525384428, 397056916, 832429586, 96156214, 924557804, 637712721, 103550177, 906639701, 101614043, 833198187, 59703289, 853619310, 226398378, 539488361, 932796801, 773122606, 668643865, 725915654, 217038614, 874888341, 382125936, 289162356, 610418817, 446405173, 770997977, 1005203931, 432266783, 353768980, 628269638, 649301900, 208733301, 380045099, 119503808, 525888437, 632157304, 58858759, 250778249, 407608278, 595281115, 276204875, 344077449, 885671562, 698517191, 812399274, 517183369, 606473639, 600549105, 354049405, 802122769, 964239917, 868818383, 475061866, 393225938, 1042473966, 579896243, 345256878, 675593232, 479227656, 358963272, 895412581, 675879139, 169214112, 271225624, 493721873, 1030702564, 117209916, 378810919, 393206621, 892704425, 824452848, 317181576, 526472958, 949226852, 974016870, 496910533, 622514087, 839568571, 210447393, 976099071, 393324231, 692300502, 634285602, 539481089, 306960242, 640987339, 663986531, 365045953, 322067347, 586709872, 593870033, 813968679, 787419592, 842250816, 1031302504, 857044533, 1009630858, 963414008, 776172342, 871918253, 704781948, 116135046, 127683396, 234330459, 1002356319, 724748200, 526889104, 295199401, 995703068, 727660081, 481195992, 291178540, 966694119, 883887159, 664301220, 155966751, 970394357, 206076339, 624962524, 78224571, 742006820, 1039103969, 464349517, 965494164, 588198216, 137189656, 113197224, 198537316, 237906271, 1025546889, 983295981, 989813264, 847219321, 760572776, 311013704, 180264663, 115639787, 12991871, 884987812, 777143695, 365599156, 1044226452, 818649594, 1004054813, 236958463, 1031152504, 723581061, 800194369, 47280662, 266811246, 923784824, 218461212, 615932137, 294710582, 339006446, 628220640, 268048858, 407829384, 135090295, 175974069, 420206664, 480739391, 185684342, 701539731, 227493518, 700698098, 131385229, 671818241, 838234049, 57619506, 531346911, 436996585, 175279656, 565584931, 1024079679, 761616315, 110530096, 446589460, 827650958, 121754071, 417386905, 1018669382, 578077273, 926625015, 64354456, 827210339, 414981335, 56627318, 821225845, 360747985, 373773845, 573225621, 1001683846, 835578954, 868887974, 275998480, 382585095, 751328803, 420511187, 201012007, 572656721, 1063789844, 903790583, 384407340, 80264733, 605751064, 464486413, 926844778, 721683866, 589301417, 1055651476, 966775953, 1046843469, 881173016, 986257712, 405294021, 1059347226, 608403166, 419781915, 475872755, 586527227, 361000568, 691086325, 986459416, 199479903, 963876736, 256704607, 351458696, 629082176, 580960214, 149524003, 589298858, 278859225, 218405626, 701958479, 234608345, 466509148, 362748236, 60342077, 737699985, 611072335, 48347099, 131636136, 710005526, 954953391, 126477789, 929055963, 227444231, 772000174, 955731151, 437430644, 454854582, 324843178, 663232619, 856031259, 749312294, 257084208, 519351394, 697197352, 805209034, 278823940, 634628067, 782556979, 731710240, 378967426, 632969759, 824862289, 1035307044, 756114900, 1020448080, 200566372, 492691222, 961834528, 685415839, 462163589, 508191022, 451960953, 30723626, 254731306, 330299829, 164309492, 426582893, 65536702, 246859594, 871536748, 48255321, 221858903, 248912354, 749555643, 50207469, 414182888, 152535976, 30268778, 768335557, 40919472, 879245352, 640013940, 1061180546, 359163011, 1059879222, 395788727, 778944401, 1030816636, 239461746, 81550901, 58717252, 772343026, 410092208, 12489806, 869131456, 976574719, 168210760, 1033054248, 459252846, 439311394, 529690828, 962111587, 175305096, 929950872, 624337849, 913451241, 318221516, 511992450, 622719209, 714666394, 5564300, 407244005, 91139482, 899780259, 678524405, 42728685, 576577554, 625460343, 484861619, 163787338, 908736759, 317796337, 709611871, 573294140, 1005541638, 564057850, 190417494, 397598854, 472188835, 345862774, 303109663, 867138062, 622455654, 828594139, 926816609, 995448875, 719801775, 1039424643, 364508963, 879978545, 145691101, 332586656, 142861748, 107276262, 694912298, 705474646, 681197643, 691050363, 386853037, 188481658, 724159655, 371731885, 382293289, 175599496, 177338163, 797904707, 691459719, 70797455, 1002001000, 540834972, 452884, 1014046601, 687529996, 1045171993, 678020012, 399856669, 815432953, 984832123, 398357974, 258761956, 449249994, 303306775, 457485113, 33800315, 618555918, 68445320, 216550864, 718716175, 287037499, 586229418, 13357062, 713626297, 1021368037, 90720925, 215978885, 465652192, 393233683, 646705516, 1019592891, 244730538, 744160654, 12870690, 690827794, 204161945, 484791560, 157922366, 954790677, 649788217, 536035260, 963323486, 791275394, 679789516, 918100388, 639918017, 1033489219, 555942509, 162607908, 8146309, 1058278584, 237912438, 515748360, 139678974, 969633998, 31288455, 257132555, 612469045, 2818460, 419878747, 842937276, 275694242, 645943848, 157407126, 667227951, 108617176, 352741586, 461691857, 971142143, 833657626, 858102226, 382729144, 1054460010, 523707107, 519924479, 193053552, 315596843, 639066697, 1047022156, 448323832, 889760689, 1029360928, 904112626, 83225100, 151721730, 729540259, 853455720, 427940357, 955079625, 381100112, 746134528, 849571327, 535243177, 262331210, 874381092, 640209083, 828692110, 220629039, 899158836, 596312758, 740430340, 287820057, 855384476, 891843887, 621144792, 934252318, 624896637, 260687870, 605583418, 766228554, 642319477, 908645721, 857598819, 703264788, 384871800, 506746585, 149164772, 649427279, 876670254, 534068730, 125423887, 678245883, 661872396, 832130369, 639564313, 264172993, 989231905, 867164039, 56830904, 362586894, 161509882, 255714554, 268285761, 48233107, 349553154, 897181391, 785923195, 941378854, 444829126, 99090004, 403327425, 566377590, 1043926383, 814684870, 454948253, 259918492, 438259712, 568016881, 132568847, 105374770, 343751192, 184125667, 18219012, 45278977, 385350702, 67967676, 750891313, 1008786160, 1025179290, 961380330, 751132180, 825654576, 576573168, 835193051, 584861466, 941251044, 306309574, 954162779, 563181073, 1242966, 46253895, 832954611, 1060942765, 681018076, 647059751, 933048423, 203076838, 683770854, 334765971, 275972712, 74733287, 909084989, 1057871724, 292271952, 574615803, 567595277, 193678052, 686734710, 163389262, 1038339263, 846037388, 774724945, 872557110, 969413270, 973198571, 1013413059, 971787249, 901395335, 160838886, 853510179, 955103716, 138545489, 902717490, 955225102, 620958306, 147426448, 54462575, 898654611, 110473263, 530833944, 1022864557, 342184886, 438130753, 359853914, 1065891232, 746179891, 308428927, 707361229, 24040230, 902325407, 874631672, 750851225, 371703959, 99753005, 245269350, 903428196, 443239884, 21726271, 107181547, 868986037, 392722446, 740026798, 1064298446, 403257998, 298572464, 1009643546, 809305622, 860812981, 593660756, 131670413, 1024003145, 674707174, 158698332, 842914732, 151970158, 119934797, 937310522, 31609831, 227387920, 89909344, 166643944, 959472321, 79516861, 723918645, 104712010, 714665342, 667097018, 329011601, 589793507, 218155468, 608902472, 974670457, 702884812, 75784772, 202244048, 738581302, 600232930, 946304466, 511769283, 790587812, 528789391, 1005347180, 247880505, 36852013, 183262192, 260411709, 266870404, 800806597, 37546829, 704263603, 505183880, 197141531, 473960364, 1016725859, 510879704, 197442777, 1039467342, 445902386, 338686890, 463396917, 808606443, 504247822, 834149869, 292091018, 941893001, 668226676, 541443063, 419746798, 525932199, 623376717, 140383659, 250544907, 428743978, 587320036, 84465130, 297295178, 1027478731, 511840463, 631685160, 165834769, 884455018, 340596042, 566442492, 736472877, 193970554, 511997961, 620241469, 129470046, 61740147, 548787752, 607511764, 178559815, 751132077, 463802328, 1040318528, 440879904, 420450243, 222503737, 776182600, 635966045, 405792986, 569605421, 551811594, 62456142, 1037402262, 1067523040, 756518464, 73172476, 655526309, 281229491, 28061130, 82795135, 1032527009, 214748485, 55399526, 353388602, 145621080, 379296918, 555468934, 80578205, 547511480, 879226662, 1010153769, 878990280, 808069212, 327660831, 661647433, 700740290, 464195130, 570224429, 454256973, 230266984, 283854101, 521317059, 70131015, 54115291, 486979618, 483826702, 350005293, 166690202, 797009774, 916398790, 460790239, 765854657, 356346895, 947457747, 425562488, 293616049, 431492230, 126177132, 837635568, 848265434, 840971841, 137241830, 278018536, 176473596, 88652731, 573101519, 454121899, 815188779, 991529128, 672885860, 138468791, 862507303, 344624253, 329786733, 737321698, 753962700, 416942324, 1008235791, 1039033668, 615809623, 464045086, 816260081, 405678882, 581224023, 144365219, 579043490, 583560431, 1072893666, 814193629, 78351996, 774895391, 702105382, 318099249, 137360111, 392320462, 845423643, 318462629, 685355062, 137298575, 863689183, 1015450726, 822954291, 1004861144, 1023192112, 252299320, 364408622, 888118151, 888619455, 100965792, 239991126, 596961597, 314946736, 502046893, 498908061, 662493172, 16200839, 381659369, 275152976, 577938715, 1053464499, 17437774, 875473318, 455328174, 637740056, 964794844, 911569176, 379753480, 324092568, 310422103, 1006310643, 436500300, 960944643, 105595566, 21262385, 477022952, 359143681, 899618080, 857149109, 690519913, 799528149, 746862513, 297130658, 197304345, 1065032773, 374286731, 963433860, 593905287, 622685410, 917769633, 301041168, 706202142, 43770209, 492110506, 23698040, 849462903, 845062181, 601448169, 309457114, 399931618, 369026693, 933682344, 159222535, 10600749, 300649166, 1054227416, 221049178, 566619121, 277692501, 941078465, 718393587, 1007734650, 338809997, 681082311, 868359769, 310867164, 784130474, 881100229, 107707213, 213383431, 1016262442, 820694537, 567790186, 170501874, 401802983, 831284869, 1051645247, 42000321, 229217613, 772924250, 227633994, 823298981, 715467855, 344453030, 152419838, 402276992, 320687955, 1029143102, 38390024, 917920003, 624503385, 1042184168, 45964540, 177029892, 678976405, 646159494, 693887539, 153643989, 908247888, 736339385, 887627188, 233112545, 669768568, 1073678086, 204846618, 306470704, 45264495, 751440342, 364573020, 337603740, 211604835, 642328414, 691173544, 334523867, 726497689, 497809638, 892488533, 852072350, 201869910, 219006010, 1048065389, 1068664212, 661308388, 372506897, 672252958, 509994307, 42358925, 379384313, 1068839839, 400664446, 814655056, 1029934976, 256652315, 812116113, 752649903, 859093774, 151174513, 201255685, 104662333, 239478803, 346551904, 613549942, 861046455, 856379030, 257645557, 159340930, 430200148, 832984399, 598013836, 770787022, 271780687, 561280663, 141814681, 336773102, 257784809, 754064477, 431439438, 495874733, 173958910, 336749644, 841455016, 402086026, 87382764, 80000796, 492927151, 912286602, 247513728, 864975555, 855841359, 19318755, 368149869, 548388305, 764508375, 758953684, 650282108, 753731390, 557905837, 229773584, 1048232284, 654580126, 160297365, 509874631, 534221149, 319532332, 427637828, 1016100938, 639152081, 966015196, 873424463, 401276350, 225923004, 280753200, 552819038, 425078332, 676770126, 572804002, 396992788, 718961176, 244883163, 169547780, 1071884920, 3022307, 967166172, 890180680, 959550970, 32811127, 193620021, 258708912, 361938322, 406418588, 165277035, 30141481, 398545980, 292668169, 977277419, 819813749, 561411026, 600243850, 468449368, 283961588, 635167387, 672933373, 740499955, 672073800, 547749826, 850915662, 4072067, 944781661, 172019158, 946304079, 622756300, 420230793, 532458955, 897612272, 434393917, 869099542, 353018679, 211205640, 642797819, 691223288, 197476161, 548868806, 892988731, 334370712, 964950515, 147602405, 486489337, 827357894, 967891567, 171144790, 544142284, 565335363, 278548707, 380168905, 646456195, 748307520, 182910610, 426651834, 677587960, 166401386, 739661063, 421834473, 505317606, 798090491, 721054685, 373806303, 258087185, 647847032, 1023080429, 436393865, 721340560, 57001599, 466638154, 1040807641, 60129047, 100098358, 261432880, 656622516, 390611581, 1036757605, 623145551, 980920385, 155874019, 1055352829, 223213905, 709147199, 522457389, 593970123, 406277579, 199371646, 592885086, 85669008, 679520365, 586018068, 1017106766, 941940206, 340110117, 821963161, 239860733, 253274060, 435296738, 822008817, 812087428, 698990951, 748272469, 653012659, 531227472, 574159012, 38706454, 91660842, 442344716, 983017205, 436790385, 36433310, 565645801, 274518307, 338306175, 581308046, 866188074, 348359132, 197369599, 304672900, 491706975, 618295014, 315924378, 395731730, 583642565, 344351300, 230628395, 637098882, 433523909, 76968926, 329091464, 439784166, 386962937, 491194624, 532748463, 360872760, 557768891, 752265173, 525103234, 29989911, 888488149, 213486309, 55396913, 922071376, 753325571, 100927680, 556088472, 382835326, 935543563, 421279196, 165922262, 537590534, 25925869, 14084646, 575133342, 1047263675, 340664035, 1016625028, 245682668, 567289801, 767187205, 726520608, 227779315, 941402652, 1029148253, 485215053, 576777945, 241197364, 665356344, 304637328, 704238313, 321495493, 448985412, 1004252429, 1010109541, 7465633, 820901629, 833053807, 453675380, 60615924, 254063301, 851542584, 848432166, 649286366, 50536269, 127992216, 584528153, 417843043, 903833996, 238038348, 83665670, 77307492, 511222409, 703273687, 1064295489, 991951269, 337693872, 484827310, 1025434270, 500894257, 542799137, 746773606, 858558985, 478050740, 1004366552, 901901922, 554234848, 568570133, 177682413, 91772243, 581458669, 62161358, 1061152275, 443317084, 272387026, 164270392, 1004146282, 932552695, 1040814229, 188566339, 149613906, 705553578, 1052484680, 465936612, 1062448343, 628544565, 981676712, 136483991, 447576122, 410686738, 406065898, 1767585, 170345170, 677263856, 510071098, 994466296, 42190277, 634655343, 54297567, 748378093, 1010248789, 112501506, 193385143, 847856820, 792141351, 453240525, 1007493818, 99405452, 765214954, 1009500418, 255852612, 534842896, 706535334, 339851210, 900855206, 777956304, 744224345, 786962731, 197175692, 106495205, 200039281, 665039700, 446416828, 103575486, 763340218, 706406917, 310150108, 694747425, 883343365, 888386813, 570304128, 455488826, 229080287, 21536848, 864548546, 162462872, 637742254, 483401527, 522447448, 744264887, 277213681, 743069020, 219201839, 821667370, 987225948, 80489677, 338356466, 107015652, 919053168, 304513521, 224771503, 777171440, 1065162582, 290003771, 597398456, 734174106, 4477723, 274584527, 722247821, 98738792, 44426766, 673860557, 427478462, 991754102, 393980583, 122453502, 128016786, 330090758, 939829087, 337162595, 274748160, 313231590, 350363503, 923963189, 136434820, 477643136, 63262045, 742645183, 646224649, 942583659, 338730816, 250497102, 269981456, 884187211, 147158020, 151132598, 899716029, 953613737, 644202650, 716218466, 410564266, 425199934, 113255833, 1039634615, 829931075, 451876462, 960525420, 851608978, 390734856, 1013917623, 263916236, 464044113, 57476622, 823845668, 368946335, 164928188, 847913819, 286212462, 367510190, 5635285, 286974164, 1007874692, 953302893, 745271130, 845063558, 318364635, 400237901, 248317264, 1027068221, 719279996, 675541239, 629698097, 619343188, 166067817, 234995791, 266516118, 261861248, 554719, 710344063, 948738839, 223438582, 21258308, 103792540, 665617113, 247130054, 21498348, 695528919, 826519339, 799176890, 1055926574, 752676077, 427568543, 18188227, 1024226547, 832185256, 888230294, 470195357, 815652810, 925925832, 303806509, 753666579, 74402975, 458246395, 711253495, 695797574, 485817536, 788249976, 656218910, 934298826, 160520178, 921059261, 247855789, 593391711, 767842124, 68076937, 572512376, 837096553, 314725076, 856924998, 167146432, 412813110, 359730713, 354791219, 17847536, 846996587, 500959930, 152799548, 861872530, 336204631, 564099275, 259650006, 778533538, 1058353746, 434424639, 16481219, 943101462, 468555470, 273434670, 13920888, 1057989209, 582348824, 36151733, 516109110, 871728098, 794839544, 980648847, 925756241, 1035582461, 89708726, 898492041, 215472181, 928115398, 1068422775, 470139036, 278659919, 659672559, 637697326, 836635762, 47427633, 98220814, 992750065, 309303123, 895133928, 555742985, 354989247, 893467616, 523543454, 203839148, 983514264, 529339036, 572464917, 956923134, 1037533651, 10182185, 1022655538, 682752841, 820435788, 500797454, 208159673, 630324554, 965388974, 251062683, 1066690795, 153877948, 473052189, 1014982094, 813067166, 977121715, 414661610, 494275336, 493199375, 1015627821, 215640292, 665269139, 352491244, 387394428, 477435212, 42910937, 661931796, 55633638, 814588791, 456392225, 210646675, 258323529, 353176401, 538956164, 279479330, 916258847, 609320559, 33982519, 53427572, 935389604, 141184535, 829269782, 525984875, 13577349, 749512470, 320339045, 1066045802, 199690280, 199965180, 168169479, 174024477, 822120993, 419970970, 589202208, 661923723, 999299827, 788666319, 1072781371, 1033212435, 618304261, 1037784590, 965184008, 923028467, 8977298, 894789427, 738141586, 669065367, 508040422, 542685603, 248683585, 958255540, 144268970, 1071801373, 878855002, 37280141, 481873483, 332325771, 646392552, 295562741, 310362370, 946779970, 337730915, 886547053, 921727817, 464146165, 755117402, 16275452, 185863535, 808406518, 934702668, 434907288, 557513215, 492216719, 714014454, 532795773, 541597252, 859691752, 890671015, 231023047, 59617459, 649627188, 429644448, 374097696, 918914899, 829281456, 399945958, 40502058, 524722069, 1037396362, 257388163, 213791661, 164931917, 475973985, 606330954, 923863309, 296068692, 586976242, 764055136, 672538589, 372583448, 710400225, 324368580, 798778644, 605369277, 434373150, 449654830, 828495707, 207221283, 509651929, 678528234, 590769451, 909959097, 536624977, 22330940, 525902547, 931386310, 784381240, 397114198, 620661959, 1066122155, 298243681, 127173979, 1026760035, 681810066, 453462786, 1000708047, 972732850, 901473582, 116739085, 399193929, 62144073, 444514140, 152468872, 370375747, 1022788387, 671991263, 422313460, 552234617, 297992979, 769289407, 86684631, 894119787, 278904210, 507942293, 45890864, 640659027, 834442601, 1054273805, 301663224, 327712071, 525175156, 294738706, 1071700535, 485903819, 655968252, 643412087, 77052834, 1057176599, 1028736404, 676662179, 183587721, 815295365, 519459028, 86844003, 834317256, 500053884, 868184742, 390655503, 746119814, 692193021, 889843519, 308554982, 779142508, 109293881, 361796465, 283400858, 143837041, 160610513, 543666403, 128621572, 1054746729, 345686234, 448388872, 635227155, 908015381, 885020666, 75661289, 188100988, 1011372420, 73964479, 351881765, 894573193, 372490008, 331067910, 560011987, 490682593, 635358815, 396359781, 184746616, 304469218, 673690557, 550686116, 112869315, 1017551364, 1052731434, 1005714658, 329220501, 839751873, 343185559, 328837782, 946472186, 827389710, 931696595, 86612256, 966286418, 689443696, 877965303, 1027085335, 828127420, 191936159, 594153242, 291562648, 772687303, 308821204, 732517617, 13554710, 1025831871, 234909261, 416594850, 111643813, 149041721, 810572325, 1061825840, 87314966, 938249793, 1016362627, 71167578, 31405729, 701068271, 1061599549, 759086505, 50348160, 139586625, 741971885, 739802993, 1894536, 701187500, 429909463, 981803069, 842377395, 194078235, 320607163, 914181395, 997248968, 800757889, 208072972, 1018585610, 262657149, 1053321464, 460396550, 289467990, 125578159, 675056680, 128966026, 1067250053, 928949953, 551638854, 508790684, 701513894, 907332095, 744788040, 876134830, 316563858, 494994197, 517159865, 587066623, 118041324, 1071199854, 737111449, 35971455, 94919416, 286144855, 565887376, 861805829, 840222988, 642878988, 697346169, 31249991, 273794335, 1039316207, 280518954, 686501239, 896429489, 825853284, 147832460, 736211851, 643528846, 583331826, 853074217, 1034537710, 471397344, 1025288473, 367204230, 184374195, 514372025, 811498334, 813985615, 110711672, 631882809, 34227622, 345969601, 99524725, 350754341, 204181048, 721828707, 798420202, 606057983, 1064851716, 69830811, 311920367, 263932056, 1054551928, 858408478, 551255615, 1064392658, 735231365, 458563926, 386747868, 247812742, 114678827, 120567515, 792064102, 409764567, 638077758, 774127367, 89901216, 462135241, 127354018, 451094256, 812872733, 706377244, 31351035, 445447689, 722944135, 22692463, 919493579, 94886668, 269947938, 1004890270, 903624415, 117709164, 781659457, 574426592, 626260423, 844633715, 434928618, 691580472, 165106398, 16377685, 739603733, 315100366, 149203685, 627450323, 1065662095, 243265497, 857868002, 438151257, 838958148, 501924316, 220858986, 87190553, 414568781, 477735593, 15020616, 158638674, 729843519, 796396775, 800198075, 539469309, 696578761, 258155645, 138329148, 654931478, 255753674, 607479548, 21040577, 907095117, 317707371, 229220481, 923838088, 395625582, 676842386, 772208274, 173614907, 797771717, 311221962, 639389392, 96923204, 298981832, 763566328, 11057792, 927870323, 878349744, 376076812, 706434661, 126223942, 138331389, 703025189, 597459015, 606948297, 836631814, 331606764, 411177545, 807714903, 628320682, 948719726, 1050003163, 598718428, 912293179, 1049423529, 34993767, 353282334, 111820072, 829409037, 190522830, 507292284, 727428914, 234891416, 1028552257, 332916071, 799366580, 642914137, 116807659, 299054160, 512705676, 635481760, 633729212, 691671870, 95584952, 966833750, 61382738, 395237896, 233800492, 82950592, 503487183, 961687990, 512426319, 659898884, 10580453, 555404973, 271554314, 334067545, 227849012, 366927419, 633611446, 615571598, 440109891, 301501975, 215623615, 390707727, 855536206, 335276889, 311727452, 580598244, 681951304, 364156895, 914435763, 71313546, 619864399, 800445981, 839970674, 842311077, 665657883, 799721074, 1042770955, 597332172, 992178670, 438686992, 468600420, 7979945, 870590125, 408609925, 59521329, 632729884, 860774970, 11276737, 115547834, 172837014, 221069948, 35559436, 298548296, 896521250, 652193755, 508079918, 629672962, 42177854, 430186935, 883422382, 103103115, 631723742, 167413884, 744241889, 102467619, 695770148, 596667441, 916350919, 80687472, 735607411, 94444682, 307953453, 403207399, 591734160, 516450328, 629797696, 679521679, 398390869, 883326674, 68521770, 668025723, 672347910, 407664981, 569370171, 768586037, 698339346, 1022300942, 161158662, 77354071, 222930190, 457779919, 343111266, 59948822, 1057561707, 752466607, 849860241, 177818563, 211633601, 354779295, 705453268, 831397065, 501034088, 229369129, 431073204, 485844840, 835891912, 193592460, 396529856, 394791229, 292625975, 687754438, 871481753, 728140147, 749477770, 282157205, 895210015, 972119263, 577070334, 66193824, 942227789, 465656492, 22745463, 873776578, 285948004, 487549379, 468925273, 968317757, 686673156, 180700538, 51789077, 875519185, 791651360, 682370923, 99216274, 520193454, 927974177, 43615108, 939265054, 445004413, 4197476, 1631718, 398310088, 318391847, 526291222, 377657723, 1028778443, 602927073, 145610111, 756553689, 854361095, 310928063, 335615600, 932370973, 466344608, 983232506, 346190822, 400037253, 1065540767, 157160210, 883342396, 700998346, 641585683, 940450413, 218639194, 95122075, 145524297, 912917890, 827780856, 384881103, 38911835, 996610622, 324516621, 23415365, 211497494, 1016720724, 41075497, 273589590, 995820568, 487588654, 258574504, 423578219, 874426899, 211797381, 249991311, 124464312, 22918095, 677983439, 937790521, 794529607, 370953575, 23348029, 562674943, 721455416, 958197937, 987713869, 144511816, 985248719, 657553635, 880122858, 566231655, 426655035, 176951741, 961488935, 962757199, 360056834, 344045604, 388255188, 579404352, 248251918, 460500875, 525481395, 193618596, 949404464, 366844324, 983513429, 269666188, 838887183, 244507469, 128344249, 1014470365, 978498487, 164962172, 533193148, 170090368, 519002353, 164461434, 663446931, 1051463103, 134575861, 65366609, 1027318688, 894883766, 347356943, 463192129, 695316333, 479490565, 433648855, 787635200, 838803742, 67869635, 874809693, 702910929, 1039852527, 610829276, 279717065, 282175075, 554018091, 199454920, 177986555, 45663965, 768936650, 660796943, 938652252, 624309362, 282284969, 162508535, 283008474, 352346638, 315582977, 361766763, 768649769, 966113486, 32593129, 281936188, 66865517, 348045920, 25340539, 727489749, 1057082925, 215198734, 291960788, 105089129, 994291854, 724628505, 584209158, 48073571, 300101894, 264872727, 255909686, 63727461, 3213591, 442598092, 768147145, 771033220, 749472576, 909259132, 10843672, 1007172767, 100593383, 566259358, 693406415, 1058137411, 289876932, 1042558498, 286639553, 651136543, 947581041, 866330907, 570834274, 296359933, 1031773127, 892386429, 470620102, 735466145, 853098304, 880137912, 988041259, 588986757, 503689236, 928926649, 633648326, 76063620, 355120376, 512777197, 213757994, 689299042, 615277027, 372286546, 799935338, 49355491, 235930637, 164182822, 1059192761, 765808325, 230953618, 253553012, 551775978, 756572871, 153974409, 742075354, 374793533, 803886293, 237762970, 560539517, 236007736, 401208270, 176161263, 853722562, 246165871, 1054563599, 802299601, 305165748, 778326348, 908377490, 715486278, 574015721, 107831408, 791859498, 164443166, 665773396, 812536187, 963293634, 514805031, 671303509, 977931353, 897989951, 166175298, 454754139, 850428434, 662149279, 153887906, 905430131, 996204095, 507200489, 553914526, 592793959, 377727556, 491363627, 69564456, 1045577830, 521168193, 37708099, 796047306, 8437350, 4814891, 117725961, 888933844, 968536572, 426040719, 121960767, 617219356, 468855298, 972829302, 67701492, 120570174, 766985186, 124964325, 263134236, 355671389, 53525484, 628872063, 93045308, 918705455, 305232568, 22338813, 812229714, 228964833, 595660342, 672401729, 421411245, 349072481, 127347849, 561618108, 604596362, 312468945, 108659166, 430799585, 965983737, 683005252, 1043858072, 1039836893, 349239170, 996078828, 418105163, 708173226, 729223499, 699120967, 380971116, 185045037, 1057214131, 261211846, 666528720, 237767741, 333744540, 972000381, 840677184, 31532190, 196382990, 755696518, 1004556946, 977063603, 566273672, 593820936, 564266367, 929357874, 310378171, 895405559, 393750685, 529801787, 840159395, 1022081052, 17772258, 165430510, 1025725952, 958449442, 433482323, 44593928, 1047529681, 324511229, 539447408, 1058695949, 864410459, 251585118, 184045693, 204621284, 951432563, 841756240, 942542769, 105139776, 146082228, 884374204, 206648680, 896283656, 902763407, 1058596626, 281997265, 207274485, 834080317, 350681009, 345567130, 461346465, 607400172, 904814411, 205337251, 946573442, 972909749, 863177790, 395124772, 324628775, 475931831, 111364736, 235704963, 887396490, 636234524, 685096054, 418887182, 1034937959, 899979987, 449803837, 537584885, 220577435, 79503267, 1000303171, 602721348, 596166321, 422955187, 1029350968, 800022801, 838669385, 688577922, 88361861, 756609746, 495600727, 765097755, 353914227, 247799699, 1001308053, 229150183, 1072941851, 350080771, 768606730, 15195600, 180207152, 256872833, 278957788, 133393654, 127164511, 824902460, 641714060, 497496130, 751188769, 737955970, 458528557, 689363215, 859854309, 891204498, 757874396, 501494580, 1024635202, 675044615, 64945681, 322142350, 808286230, 788862912, 832528659, 268260045, 477906749, 1068649461, 527748036, 903085168, 84663011, 149020452, 928574007, 660734435, 733107479, 946677458, 1008718791, 868776649, 311129858, 342142341, 958431513, 231082634, 507163660, 559914743, 571208256, 459576226, 191334345, 144382674, 551698349, 362005129, 574556756, 92388012, 104332961, 15436273, 1036894178, 125009898, 482776996, 718858296, 724703518, 79939537, 272151301, 1059200933, 646790242, 81184023, 875734828, 1036444325, 596278680, 114432536, 118797552, 493572524, 22245950, 95417717, 276100389, 545440843, 906681936, 175410900, 86547628, 756125742, 411648210, 613106015, 808224165, 892637407, 242680191, 426340251, 1056989004, 913566885, 907722624, 202692117, 374936437, 167680729, 63951881, 462529117, 315804343, 136278352, 760626496, 522171718, 689059028, 1043053916, 411600649, 1070747233, 1040420572, 686739594, 901562290, 1016290846, 473119330, 533564107, 673786602, 883606684, 400523733, 838242740, 904584824, 241531649, 659238349, 937805940, 890851545, 291414055, 153023220, 41284500, 188648704, 840325699, 460766509, 467281741, 371708927, 198928794, 790608315, 489001524, 537609956, 703110924, 441764308, 196421578, 86320829, 813024814, 28237912, 1069106202, 1070102054, 995991135, 848098288, 911475530, 938674250, 45237775, 602492140, 66572608, 306531185, 854077301, 946790637, 909576767, 912160323, 19337711, 750073535, 792745793, 782326089, 45267616, 257709294, 968860943, 731152893, 742421768, 930514297, 420134002, 83412198, 1018203328, 75766279, 568220260, 685700832, 507392854, 172500445, 333333713, 336863964, 975029990, 424046872, 541339979, 82320843, 665691987, 864982499, 911338942, 892182032, 145925960, 238824082, 1032919250, 813938904, 262024975, 885407220, 4152665, 949120590, 282185478, 534779423, 325858829, 695204034, 437227148, 802692200, 863493898, 761649208, 735014796, 121024565, 924830454, 4272487, 976527497, 1008384144, 593995668, 18231225, 458161563, 645565712, 24783024, 540353241, 1057708306, 959029057, 131408972, 740103552, 885597319, 246375516, 463267793, 74237511, 867413694, 37263415, 293531123, 428585209, 154435109, 135989462, 976995788, 202170848, 190779845, 117353732, 912874312, 44931962, 164803625, 157906286, 236444493, 983084347, 176116016, 897083930, 735951539, 827634527, 265650187, 127101696, 136379245, 330296780, 195656037, 877240830, 359645006, 1025772661, 788028549, 596038032, 244896409, 564208413, 648000531, 614149355, 974480719, 1063169332, 115885548, 848490209, 757876301, 567545330, 163383762, 957647701, 59759856, 388288298, 556183788, 85124090, 820952589, 445159403, 765894246, 199311285, 761168584, 868726464, 486210620, 947282484, 29011910, 333060701, 933816288, 322648214, 617935622, 329689165, 1042558050, 459041972, 927657368, 885377210, 37952985, 265153642, 688013664, 265462268, 204040915, 780962530, 28215595, 760867448, 621170299, 227170951, 525557577, 659052475, 429308256, 1045062839, 393018051, 98869425, 191533401, 323710333, 879825115, 51606565, 114629174, 241501260, 448162304, 78264519, 59451756, 4631369, 959821937, 874354414, 702704729, 500850119, 38081117, 677125852, 965524774, 910561555, 350582279, 117756604, 1029565808, 1047224394, 323020672, 412698585, 797832231, 436653807, 191139626, 1012520346, 120399972, 652673520, 130158967, 867767290, 608059051, 356551871, 447019994, 94365653, 102389187, 173571065, 1058405675, 667741679, 702863133, 334546122, 366311983, 167395652, 488963930, 378265329, 600179117, 615165267, 351821315, 439894079, 837303339, 364607426, 656150997, 101065267, 386905660, 950497426, 918874419, 809559347, 1007370360, 976077438, 548691251, 330740920, 453556100, 1765886, 802819985, 110397366, 1014379148, 1041152521, 184405523, 995853105, 114186989, 985906860, 625852136, 699309784, 916691107, 750910830, 381329518, 762896623, 473986081, 1067616327, 393008830, 696910005, 1017523954, 1016867762, 812934867, 651984663, 425656015, 1000638659, 544860852, 930271242, 390553926, 1029342550, 630293448, 609255260, 994792769, 894054932, 479427634, 892549407, 978804385, 285916425, 1021282513, 283350131, 474360382, 311575040, 901257647, 676573687, 173009609, 126539271, 834343818, 886652319, 56056200, 1067304009, 804905417, 978032289, 428291949, 405301344, 1039421530, 341931567, 1014417736, 1019238289, 116486806, 636752388, 478102360, 517351057, 942915356, 774027278, 767476394, 874017219, 303534017, 452583716, 368975805, 866601828, 446155558, 201701787, 363935760, 406466683, 597277670, 318951201, 858606930, 279254869, 204405192, 224065323, 708072232, 62903084, 832892813, 80954934, 517562947, 269808263, 316345021, 1041370710, 667101100, 215421588, 821903370, 998666665, 199401548, 406771373, 346371226, 966599673, 992261498, 147926016, 1054749521, 544684349, 602719041, 639031464, 1051598856, 641444288, 604949682, 322789664, 45655521, 981850625, 1019856219, 132016486, 13642055, 1046758603, 320550187, 384483092, 792534003, 188041785, 395591016, 709238267, 532104565, 701376318, 956827904, 50973547, 56487407, 909939911, 148647848, 865169310, 1073174884, 680812236, 1063307020, 478257356, 459604537, 32051725, 998201997, 757918623, 396928241, 630287151, 965522774, 706668716, 842902365, 112746808, 294857342, 184622767, 292780818, 503935336, 516722336, 458051436, 1073061212, 459248183, 394215507, 196297004, 275066681, 1041087766, 969634629, 477225179, 155896441, 547986429, 830954059, 156290475, 348476985, 49489617, 665547472, 20478161, 678329551, 707206171, 907252397, 108289678, 530478451, 622751787, 968242156, 1039144195, 63873387, 647271977, 310215763, 1016130083, 520217351, 99543381, 226859108, 771923010, 102474289, 475068724, 744692158, 907727199, 407302914, 699701, 515954926, 63686849, 646465161, 245430208, 144813617, 68080469, 433344193, 876850735, 80088742, 478540497, 523047113, 838533683, 405565530, 54542111, 28730251, 1035384955, 817690396, 332611669, 135447388, 899509771, 204354975, 750125837, 794137314, 541662475, 919828163, 571964469, 318588796, 569240994, 207408940, 1027926494, 831920991, 795617930, 631301463, 403063483, 9164978, 196023988, 720055762, 426808492, 857678595, 92668491, 290262678, 323516830, 498158021, 711681645, 372527655, 921773099, 503476504, 516503550, 433211347, 423692532, 249114163, 196572655, 44826522, 330095243, 462229671, 365482934, 269870096, 237422609, 1031584149, 690680233, 492659605, 498256858, 567120853, 32218617, 751841241, 330857277, 673119061, 472024854, 914967813, 1056741461, 213656207, 840443418, 380921728, 367551088, 552351863, 144268303, 631178172, 402479151, 303815564, 502811271, 605060148, 243962871, 690078353, 381384756, 336268313, 706399945, 463758777, 718532490, 560196215, 597183670, 41498650, 502084776, 1045806763, 172264484, 279109566, 1067521623, 239496561, 19087673, 851442924, 468524124, 699492627, 774082450, 702582943, 410747598, 141107904, 818053967, 1047450493, 191294501, 1036937832, 879608749, 848141060, 141332353, 506405659, 257105482, 166959398, 693742584, 782041829, 816094667, 382733590, 42404851, 27276744, 153352015, 726562697, 975117393, 229139514, 599539074, 699222843, 333378948, 754647897, 50522151, 1072241246, 523844682, 782103865, 575662758, 547470806, 823956824, 184634616, 1068169426, 866207914, 5726765, 602476164, 201577920, 883330613, 753089135, 601273908, 496589692, 750025613, 311644957, 509345936, 758162958, 556488166, 17924996, 629007566, 886462095, 247618261, 718486284, 848004598, 18923331, 1006220439, 59551421, 512526668, 793080522, 532016392, 1036583941, 837940859, 414861971, 955668865, 973765376, 100848237, 485332470, 209384819, 1006044796, 938311915, 628355159, 43416730, 346480938, 241835535, 820624958, 131445173, 992229376, 537827163, 411383675, 558960650, 584856023, 899569850, 919828235, 513198745, 723444123, 764615138, 579929158, 641487844, 632576358, 586275133, 864282213, 751368396, 851100563, 597518202, 736289061, 9235348, 1072744739, 894854028, 783863572, 861361760, 261568916, 1056721875, 948849784, 829593050, 400142023, 628171226, 567103182, 599802284, 916055692, 843368, 413955796, 792196918, 444325032, 335524814, 327369638, 722376603, 590584846, 1059512505, 781988696, 895621932, 81065627, 218596328, 103392005, 331144466, 795079886, 202394498, 429375372, 58243528, 1054610490, 646850375, 928461783, 535224486, 826124810, 903479711, 13730981, 885487996, 98537985, 938170305, 468582062, 972930119, 374376496, 6499822, 1018182136, 467078300, 1070401480, 36489390, 43904122, 195514140, 274463545, 153947958, 840653719, 488998334, 642969383, 629825590, 1024609313, 47745660, 46125954, 172567524, 561011370, 932164356, 126760758, 773835555, 1002054338, 467085693, 495218858, 472117621, 778037985, 711180673, 331977673, 489258054, 232351768, 275713920, 477745742, 35705111, 623814378, 623343594, 96268568, 686869848, 678306769, 662110650, 519532963, 436647895, 154101742, 887964946, 456372916, 464310315, 133017651, 483402985, 878169910, 1039774790, 22888823, 949784682, 1053700573, 716924967, 371499486, 128175944, 55105305, 856781844, 1051184059, 229172521, 170466825, 783464039, 375487540, 1040361647, 426782223, 518644218, 994320437, 518618856, 68860259, 240853130, 985145932, 871608482, 649532073, 902136296, 438822811, 448407571, 673392342, 409760824, 513368089, 104014766, 333544757, 792479102, 440051256, 384745791, 988113697, 988313292, 900836676, 457972553, 116556709, 959075798, 942296295, 603024210, 867248992, 148912536, 895439697, 1058716882, 383269159, 332179956, 551826665, 536108064, 257466524, 938189878, 548338447, 301907092, 561791873, 958130591, 199730924, 296891050, 574851366, 740170359, 925691442, 10142283, 834737865, 742272102, 463559346, 458625129, 754393896, 535420529, 105278439, 442909553, 1057662253, 923963336, 374751464, 625359017, 391815351, 436717696, 1036279238, 210659930, 941368120, 144071469, 1053517044, 1007660192, 861031701, 241717611, 158821741, 1015584209, 987887242, 975410837, 241168813, 791316620, 697624712, 819282912, 861232442, 570058755, 715789422, 995252209, 358035100, 1037959402, 9702677, 109806100, 589459004, 881453167, 150388418, 356125445, 984615064, 439198202, 575536836, 524421672, 845347666, 603262738, 95714154, 764224136, 427748289, 1058822440, 1056841411, 582775855, 13411596, 840552647, 7904471, 404645931, 1057880447, 1039864101, 756979400, 689346171, 380625177, 1051781235, 1007457549, 1062654678, 330540982, 416004488, 415218415, 608599363, 133818124, 777695237, 955541395, 730824746, 72896411, 275761939, 114774896, 148796783, 790156405, 700549192, 792641827, 1006066405, 325901201, 310313467, 1071207615, 337934751, 5200948, 389080768, 761052176, 749427304, 231619996, 454413742, 685537699, 1068864860, 298369627, 475151647, 906918860, 896121383, 938955245, 834969300, 377206837, 1014976980, 78554794, 526994162, 831360687, 294596972, 463099840, 818663331, 659124216, 968282879, 1012509457, 269171945, 457039887, 388986828, 299700588, 903732665, 875833445, 234509042, 124821592, 944689553, 489448975, 547690694, 180656542, 982098443, 362952081, 804027506, 36036604, 593647880, 274718026, 656091375, 450347734, 251032058, 259023337, 930360708, 146446979, 112523151, 203242612, 609195277, 819483965, 663731054, 443511094, 841198497, 945923450, 796780594, 570721859, 116140094, 58253516, 358234129, 68394961, 432271438, 13485936, 882941555, 760416778, 278726841, 460243171, 402690243, 98690311, 587510992, 21998442, 103263379, 975445250, 671965386, 738567299, 128047484, 297644954, 684454675, 892596096, 659950651, 1007646338, 202282153, 507462707, 77529188, 598055038, 646242279, 300020490, 142356782, 253286837, 538895655, 169222837, 634020575, 340011064, 68277578, 849887899, 199114421, 718926695, 886424524, 91355033, 236572139, 389432890, 764311878, 351187123, 390899629, 662926349, 830079954, 827422916, 822710548, 221055714, 484854528, 882445677, 326900077, 654694288, 655424790, 445657600, 191192902, 497615043, 489936208, 242605433, 807929258, 712506785, 359875529, 333177610, 443378306, 458432342, 640821150, 761117691, 918485007, 610671400, 518282304, 42608428, 109141743, 738953392, 903640732, 728941016, 416468960, 512055860, 966039934, 557684641, 1036704364, 108252407, 453920929, 72549276, 948372757, 128581202, 19681399, 926067154, 864112289, 889707397, 596494780, 46129918, 977024893, 584055900, 163240893, 1012486513, 365247922, 661920284, 690964455, 658447659, 209601276, 421711028, 1015636674, 80279300, 113259763, 945518438, 357269111, 709986511, 446382298, 485585660, 51057082, 652057877, 253429018, 956900876, 174605807, 418107341, 209220719, 882634077, 847313872, 460345028, 958087926, 56413364, 592175828, 247664230, 813333896, 552270417, 373436312, 607819613, 185737194, 616124973, 417767702, 259280821, 522253081, 140347608, 537698308, 618575186, 259434196, 57741619, 185894897, 167961452, 302997223, 161605487, 383988241, 885471343, 349942158, 553683678, 677646926, 445307810, 396226540, 853142477, 577222660, 237143339, 318756501, 233162068, 927110654, 715169486, 285532084, 300718331, 99202284, 747021667, 119584207, 586541812, 1034146188, 994792163, 371249652, 349491977, 239157687, 194314987, 330067962, 525831903, 1057403255, 40811621, 869700005, 945421210, 50214760, 308861778, 603845563, 117155655, 62345732, 768066529, 571708524, 493314276, 1068264312, 1011862106, 1051909146, 793128917, 486953167, 740778361, 322574635, 56182013, 1067240020, 133700803, 222141885, 577360727, 830040932, 726133664, 648305808, 313084235, 318371263, 570992501, 233068422, 1050271534, 656153224, 35184049, 385704676, 730412108, 253256222, 20256150, 144709497, 312147564, 515606740, 506283203, 1046640670, 873047812, 514714926, 259327251, 228942343, 644493107, 65015598, 422025618, 212765078, 553317628, 886073587, 586824698, 432051380, 161340433, 500236307, 1012918111, 267181033, 367155511, 282408882, 365131815, 971125656, 869184359, 999310439, 465649556, 1022740719, 800162035, 697665678, 218175348, 529321875, 513684307, 929753908, 900985651, 414086653, 359033785, 161046728, 411260016, 196095111, 36878549, 187369780, 609753171, 41502512, 182210793, 782975790, 311852353, 21996096, 22018884, 210728528, 620095188, 518130415, 559554884, 83686961, 181226059, 964724291, 293487514, 935772526, 125965959, 681419837, 845933451, 358744348, 899988039, 669596908, 373634799, 324125245, 636492295, 8834193, 786863255, 462741378, 148311937, 801836361, 984359715, 457706433, 262226942, 262531215, 222589559, 743580762, 321906467, 32206263, 967168361, 691675788, 63490187, 342254515, 308650969, 99844679, 294894228, 888970595, 746212143, 245123102, 536967361, 158352359, 589017816, 955248046, 404265246, 1035048424, 610211948, 342964569, 64300979, 343177728, 24234982, 145609288, 15852509, 85102166, 105423097, 897600755, 1010440043, 1069715165, 1032185899, 882646099, 697877593, 66001780, 162820342, 401757391, 830141980, 479229775, 820331869, 250115777, 209407916, 166716179, 852500795, 193300212, 437972548, 313713997, 183574580, 269869978, 45470466, 1062434315, 740632539, 585326183, 529472902, 618305442, 983574444, 730092986, 893593927, 378858576, 454188187, 789139852, 476998482, 786805697, 495305560, 762428333, 239882102, 499705694, 250651553, 946971518, 837347453, 345401300, 27428582, 581045475, 36654105, 917112346, 505652845, 987604026, 673247089, 835360194, 889621949, 41521001, 521023971, 257067393, 592269955, 318458400, 491287457, 195030036, 234266019, 152861061, 946456819, 350164577, 450043038, 178718122, 96336267, 490778960, 989161284, 1065770181, 839533302, 525411641, 914551419, 1025838837, 873179070, 19324022, 305127056, 408989759, 961163475, 600666948, 266974329, 922791803, 112284100, 866129057, 717389085, 967596263, 618343358, 559821718, 530050347, 632955164, 686286078, 829178250, 1053976580, 759189301, 320729007, 38523393, 377510216, 398993215, 5179678, 105098553, 1025947024, 937783995, 778805940, 723951754, 42891545, 80438006, 725285266, 614787000, 77370058, 81360751, 383226307, 494430428, 180738180, 313270694, 8303449, 27502, 767908303, 1006024237, 943257204, 391682765, 204726756, 318030265, 570002805, 510792233, 292090165, 537293487, 49992600, 188678084, 923298529, 157216210, 1054071309, 447029114, 685967477, 282190671, 265866913, 828652992, 584864735, 355321327, 1046948200, 371448498, 608348453, 785687632, 675425826, 854702301, 619796390, 758326318, 572420552, 323970360, 674774320, 385703127, 104713989, 959936857, 537894063, 2771913, 160462443, 322028429, 779040256, 960810793, 422015257, 678168482, 57495261, 228589151, 662276106, 1051693637, 206221857, 100945536, 409824572, 350585197, 992786067, 720806611, 776180243, 1025028975, 250243739, 234730881, 652682176, 1045438361, 751007692, 277299102, 933885125, 1054872313, 215151096, 634515010, 114650886, 845229506, 1069983296, 469218807, 854182167, 161526728, 633006850, 435628897, 99302666, 632046425, 861960818, 327687835, 296051330, 766359099, 220976820, 349495041, 481273472, 658714028, 46981382, 572710435, 787574256, 383943272, 1059601652, 628603071, 474415587, 1066467515, 155291280, 73682910, 286674653, 950988679, 484110757, 496316390, 560061505, 647556429, 798343028, 92512732, 162619788, 290332885, 35380279, 917284903, 338931443, 856784708, 170167048, 730299368, 124881259, 141442636, 316736627, 703880507, 110740031, 865140793, 755827010, 106592545, 619135896, 578991996, 568222556, 75463622, 1005220936, 453128013, 929605534, 715401055, 1035056568, 990513075, 408399510, 101624470, 744924584, 256799035, 126627253, 343353580, 607236814, 887058478, 166067000, 869148353, 568079095, 1031159679, 740790278, 947437904, 418949054, 581883758, 461449572, 89428562, 572445827, 285650766, 252101794, 959855488, 627775064, 533031130, 7376388, 804431289, 209905656, 165797542, 614200074, 955854559, 744491347, 492859053, 343286600, 932374847, 848962838, 564638184, 875622487, 352294803, 331510940, 259751330, 159199958, 812863487, 346395732, 95660469, 637161491, 742687943, 1039260814, 579103472, 669894817, 637218169, 596787197, 428850567, 1055521712, 690249513, 480209631, 321479190, 155599371, 662698620, 746002925, 890623949, 771050551, 325756100, 465251592, 379521975, 117344376, 838664249, 723262502, 60221229, 212712368, 245233244, 78643554, 68414496, 728560398, 140325809, 561101693, 395754980, 959211956, 913185032, 829220161, 190341377, 679242409, 900453628, 757023558, 630591515, 499304890, 670472377, 172019991, 392149630, 641139739, 537472846, 795486622, 133271111, 989429598, 725265210, 537527048, 418075631, 66889652, 205476782, 766045221, 396553477, 676081605, 109771513, 196015640, 943488844, 513362078, 835342320, 253570788, 27678836, 675370332, 865442447, 684317051, 553701055, 369274104, 892847737, 773956299, 1045632345, 981328986, 728272372, 373329457, 833321970, 393157143, 44838254, 639783406, 662423850, 647645147, 893050512, 161877576, 352944118, 140238494, 772248233, 959071092, 685963187, 19319190, 696646577, 458768586, 553707278, 278262679, 488886129, 973736211, 360864105, 868867938, 75120155, 903110348, 147203017, 577496981, 220443676, 529403342, 835208324, 425538377, 92652456, 507849310, 612581431, 165862471, 221379590, 651029974, 907394046, 145023165, 640678574, 435127736, 211837273, 924405740, 281397692, 254634149, 932880076, 805339414, 614699985, 38371192, 171602576, 33028273, 906520440, 488588703, 303472008, 23843679, 509656032, 712689089, 189085520, 31525990, 803901925, 48628186, 762859743, 575012455, 334860175, 919618672, 372984184, 485439396, 714157649, 478172926, 317199418, 1049799726, 382923345, 873355972, 124342470, 124405336, 850088578, 517003627, 145757116, 293001772, 693993264, 514300962, 898547673, 405041417, 1013621482, 946942580, 670445542, 995928260, 33027774, 962475679, 699015039, 337647545, 348788587, 837594832, 255077588, 1053610087, 297870362, 406006600, 289966199, 691516172, 953750369, 981372034, 970313227, 799058718, 78999989, 332328238, 769846799, 1006621748, 950061251, 450047864, 277877622, 629627392, 454453447, 77665717, 781898658, 351150135, 248632667, 879563180, 976432326, 727913579, 797073821, 160702194, 929428100, 918271348, 49643272, 264411404, 881788016, 688123589, 36132359, 473540115, 733211567, 433735012, 529599641, 674674073, 358440250, 590498344, 208484813, 112708541, 180194562, 811723434, 605935786, 953627968, 595255278, 1072327561, 397261049, 946619458, 888886339, 752732180, 859167655, 471219599, 815024846, 277386323, 7107795, 293034531, 934047075, 233434567, 282250450, 903896347, 587784875, 1028916842, 641248769, 1024782536, 490079871, 996464516, 614644856, 1007474012, 551338019, 741094243, 207954702, 232291528, 527756084, 797999186, 715986709, 694494076, 625580788, 241347413, 972654106, 957680420, 653943945, 256126038, 524027737, 396521114, 166496837, 663261071, 351058314, 660530959, 740998487, 502339983, 1057023503, 442790006, 774908502, 793173480, 32418308, 321031161, 1033116237, 634199872, 852947138, 625319780, 285072872, 128294197, 986058488, 733764139, 687444899, 487615871, 80306567, 692510712, 922303581, 739926736, 639830537, 217632788, 787679609, 995493670, 898802463, 339505050, 1034835604, 1036223159, 332130915, 661651531, 315866466, 127879101, 619234801, 149197163, 598712826, 453324228, 892415529, 1013929021, 89796210, 788832645, 913396429, 972688255, 648065500, 644409308, 266807440, 935715378, 272542077, 409175579, 8312869, 167854160, 882123179, 1006633765, 717923695, 946657830, 517800877, 502492918, 837797295, 982583700, 1073554255, 229874064, 532779469, 586858508, 72117497, 1037827448, 332824369, 242211377, 841392761, 737160226, 274136016, 49992652, 477799272, 193046084, 994794262, 453715177, 474555361, 1057418139, 997126647, 905096795, 452497264, 972477960, 123997394, 570016746, 747789023, 992284867, 11942209, 1009885257, 936455028, 402245490, 161195517, 170366383, 557142352, 1071457288, 62190473, 857138186, 254162897, 293073712, 959468707, 329663013, 79465385, 941978606, 682492905, 555966915, 53479734, 543749398, 1876633, 596174573, 652998227, 347966126, 166084577, 863877109, 1044641660, 842871602, 77004745, 412575931, 371274880, 496251642, 135760458, 343799127, 251113375, 629952103, 241342078, 755605836, 1004744082, 864649890, 854301595, 837887936, 928772155, 99441550, 242860087, 632833548, 1008539332, 590514908, 399367755, 644134823, 921318106, 188578674, 56312394, 999243163, 724415709, 159959390, 867691062, 339076869, 247792178, 375734999, 685451603, 134691292, 737010187, 935502463, 850104784, 234274315, 35544382, 444440365, 651001627, 1065262386, 287883393, 962835771, 479865904, 752923597, 748870628, 459226829, 429637241, 842061545, 1014238767, 725809663, 1007516751, 287842744, 589839788, 280538812, 561734215, 528211334, 1040313888, 397713895, 763108917, 634095297, 7828199, 8601854, 713926039, 525925850, 497196717, 121565112, 403737352, 356418841, 402790040, 585367138, 478386186, 936237022, 411204321, 669292609, 645252020, 415109212, 153639421, 866130222, 668539761, 1039490650, 742221501, 243314926, 884989671, 1057502995, 353246440, 747564161, 309353092, 719099713, 808020430, 31195644, 1041651791, 923047649, 369858621, 856100914, 79576181, 182204285, 543252475, 948307147, 266433058, 569862720, 235916286, 29124489, 81253649, 25260801, 238929542, 776594038, 1063065715, 674123330, 48994419, 208888101, 496134754, 359025852, 1068942785, 241076994, 296553065, 427948260, 1071573402, 571906450, 1051116489, 841857991, 669918729, 555387258, 576181664, 341467050, 188454460, 404220724, 513469734, 322563479, 901205040, 823251072, 1071638574, 1039213373, 521715397, 284613160, 826244161, 764054580, 711677249, 497108887, 656283793, 603403530, 772686314, 260093171, 765277570, 549413679, 669910293, 138697252, 458548097, 661857110, 16068281, 844497945, 876870729, 617514897, 754273395, 545402738, 111195360, 281840851, 680912178, 888335257, 942378834, 80586876, 267587770, 177769690, 614718899, 271219201, 45381564, 342535011, 5358735, 594854234, 874008040, 408222757, 132524289, 914664455, 1040320335, 192302461, 214264595, 698289654, 552944637, 34533224, 659464290, 400443021, 653254081, 753269111, 1034256068, 691167857, 49121838, 1064031441, 765693068, 303667538, 198350326, 511775035, 123186040, 286380289, 416026126, 498516362, 132970142, 453336513, 566768638, 243691903, 369108784, 121799237, 260715453, 104716625, 47320240, 913535846, 637526964, 134478184, 380441164, 266854268, 940025274, 409366028, 291316191, 872849616, 982443209, 174130219, 539873008, 238512054, 80207134, 482745671, 999788621, 659991354, 123902794, 343006479, 699598941, 621167290, 678823054, 413472026, 669815686, 651154927, 580099979, 108170122, 949070664, 566548072, 147013970, 546900, 165944835, 938775763, 595948302, 61334199, 917108595, 1015004103, 250792484, 966782827, 681420797, 962612641, 344238097, 375056108, 569757406, 86715226, 416165949, 535887604, 569501450, 622800371, 93292756, 242487547, 1069458061, 262518717, 542645497, 912886617, 214298910, 641596068, 361473401, 753673930, 544175636, 460211042, 211742542, 360499000, 401780779, 657533486, 416845758, 41460739, 315829859, 719057355, 144227687, 927638888, 535127332, 406847581, 757808122, 466906443, 990460201, 196097746, 188276515, 743100407, 715197638, 1064999608, 985256497, 827758231, 386905310, 950303337, 663426394, 868266471, 935641674, 873959620, 232788730, 788113291, 382971367, 363350103, 1014920484, 164220550, 325439982, 1014654858, 1021781298, 123381136, 441473070, 693526516, 289299329, 916768210, 757743170, 972731822, 810018020, 809545894, 199064298, 138507950, 697691922, 58577788, 792322749, 49964451, 59430863, 1055567732, 783307936, 703711897, 279412876, 743863966, 1057243639, 421064903, 620136817, 338048026, 773357326, 771473559, 926696817, 435349945, 575411415, 441252115, 638371444, 321974543, 865441224, 348489903, 759866253, 119807857, 93853599, 682655949, 125907196, 395650070, 776483479, 924832316, 1047840150, 850008916, 17221919, 366702264, 29954060, 397847437, 57852618, 84930872, 484686618, 615790077, 936150736, 137992712, 266525204, 568088363, 786184038, 363079338, 681985808, 393296097, 43867984, 197976489, 809281759, 16522999, 635957445, 666192831, 423449279, 840078953, 976905815, 1050341984, 716051517, 684900880, 132533618, 865171582, 559517501, 920935578, 558866369, 293447815, 283022702, 954760192, 225015839, 242646189, 945012646, 233768051, 832447854, 966792651, 650404018, 262967428, 835864629, 609028763, 225810630, 362676826, 680510925, 880312653, 526970712, 950694569, 87013380, 683195738, 627879924, 106999201, 274103976, 373516849, 164894917, 187879815, 317590052, 1018471223, 941822898, 831278502, 17506109, 1059065190, 443472030, 739174949, 685838650, 126326947, 229320212, 684308485, 502046504, 470805653, 406509140, 574384935, 457729232, 396887427, 29860056, 387123749, 521109730, 527698577, 693573747, 933637508, 321016710, 90804072, 173130329, 15331983, 105452232, 399102716, 721956142, 412762063, 771116402, 88489910, 325648578, 203834968, 563611408, 117247102, 168316053, 853937161, 641331029, 301804150, 543359707, 938653388, 1058042492, 881922633, 311914105, 263889467, 761275600, 964901982, 345036860, 968048683, 708452101, 102853661, 294661606, 842115528, 152832676, 45834401, 70416170, 962134939, 379618837, 187760728, 331478901, 302847099, 689417471, 784246235, 118456812, 394547258, 561012, 632063589, 653595434, 332060864, 601398860, 206701671, 82517452, 546692846, 74782885, 773283045, 531622072, 811909910, 304672035, 945391519, 185345415, 56979508, 353968640, 332431994, 425962038, 395524088, 584778518, 569012605, 484447819, 989068523, 377993478, 449160127, 324856713, 388985513, 323514086, 1035290376, 972539500, 482143509, 781157270, 719340732, 758961878, 74193005, 742524003, 824693518, 339015725, 666059543, 694714042, 946382722, 119084807, 224469985, 104749102, 594635377, 408975504, 981430542, 14512957, 652607573, 974905455, 871357648, 798332674, 760554440, 161778237, 652033136, 1026754391, 284133619, 687196220, 769325826, 391578834, 922211016, 632847852, 424962443, 992722889, 527165465, 469416142, 4158633, 550137333, 953383603, 625854663, 863642582, 910704618, 350546772, 924203044, 967373473, 113918167, 329538597, 92695654, 707538428, 489276666, 661163452, 1062942696, 570484075, 580632696, 622901025, 775128830, 221058608, 1003722394, 495082906, 696429780, 1017331163, 148807195, 950526090, 538117255, 803832147, 140335666, 173797382, 1021132314, 13997135, 586030379, 383983731, 650614776, 161674109, 795195240, 551064596, 413223545, 616884811, 977402349, 1009967044, 159663523, 148062916, 743725929, 274471378, 23811331, 544438535, 884581685, 722916688, 1038353593, 60571891, 138836594, 192223935, 407112008, 1026748727, 8858977, 420309577, 302491047, 764808705, 95943751, 294972108, 542548063, 762282278, 72139570, 859339461, 576750900, 821288502, 524713900, 867601576, 360344452, 815993327, 359260352, 724237074, 885310967, 448500172, 748157585, 322977071, 833082144, 245831646, 749318512, 944496966, 613266239, 973406438, 26215538, 1036394238, 238959386, 814108487, 592161913, 996506153, 952928018, 735680911, 109538699, 952587815, 901055057, 154082054, 903547153, 869331415, 360266568, 921294200, 154015063, 26523158, 722522507, 625988547, 247917682, 857067982, 1063939956, 331861340, 823357275, 509938683, 1044399342, 872283724, 1048430257, 716845368, 822041816, 581623567, 675936766, 1021434749, 661661761, 193324845, 718693394, 94844995, 325568641, 151114428, 544228336, 651178055, 1032437083, 830134431, 753291568, 533774723, 36576418, 802420857, 1070954630, 991027739, 989258135, 528927470, 1017954259, 436944027, 784469212, 431575888, 876170724, 831310297, 577693671, 209494297, 590917059, 788058778, 298444232, 1009946945, 1006350276, 928539833, 361182049, 66815074, 479094237, 952150922, 42994309, 269790869, 173206370, 826337830, 882144943, 5797323, 722072195, 130587915, 45046440, 324506743, 220130657, 569112519, 334635812, 556167340, 607508801, 110199061, 735625908, 700345545, 124030787, 64922095, 201257653, 594132753, 386953536, 927413419, 991469765, 454171427, 950680264, 844925456, 93043216, 440567600, 726934076, 886331691, 110192307, 366309389, 35528088, 299602005, 814823982, 570224402, 456945047, 12557563, 922883706, 384906703, 925148886, 157428133, 697594922, 548975611, 748966078, 458415968, 57004, 141490715, 712181707, 93554552, 166518993, 549212609, 834380755, 764479575, 283681625, 240613318, 687947707, 588254500, 642894195, 881557934, 60583633, 108751719, 29572680, 253927211, 877454228, 85579386, 10191183, 302262384, 590829935, 824027692, 496886687, 516093735, 434327232, 205204527, 633898281, 587843656, 979154146, 1062762238, 649945607, 8197994, 47458650, 783527423, 1056644344, 852780418, 621239109, 895293697, 185052421, 279244176, 222550927, 426705505, 747948227, 607365991, 923906923, 675393883, 433538872, 392039240, 411679088, 820885988, 99568669, 753062567, 300655877, 24719594, 693157206, 223170959, 1063306945, 786477004, 1071303491, 879849940, 827935475, 656510171, 197190350, 421639937, 201023286, 217689598, 296963819, 415206472, 748666213, 531413139, 104513224, 597723443, 546302195, 642440030, 849570975, 372046045, 287742272, 924466947, 173455744, 183535278, 839115340, 698364202, 934705990, 870845799, 978274479, 134674466, 992758462, 790855808, 329351681, 330549476, 1048896299, 404420891, 952266146, 624765094, 511053072, 33359873, 667515104, 15294233, 109014347, 555940406, 146285509, 1059365067, 436690848, 371894420, 745695487, 768462897, 383211003, 638411831, 483401169, 772295354, 429257408, 965753615, 293335676, 220306468, 843388732, 923339847, 442860884, 295445398, 78998222, 595729100, 644940030, 215549112, 106966918, 600709352, 743054919, 327168194, 617591944, 332273792, 776802127, 822589304, 452707961, 40056578, 971993071, 380837529, 531288019, 213312967, 137996945, 281850428, 70223567, 675147739, 504323074, 1067474818, 228552711, 728967315, 448778471, 959317245, 64107631, 714214964, 597049916, 961797736, 1020896622, 1011755623, 968229273, 990987122, 9706745, 1019356412, 807790205, 130371674, 452283776, 853949988, 8698124, 98622048, 866634749, 169736547, 60504798, 632478442, 607809808, 881201382, 7928422, 936542412, 813295862, 646394176, 66162051, 465566665, 663810319, 123404609, 397326740, 1025344057, 251073267, 879366347, 262958289, 697266803, 64211030, 382811525, 829862885, 703105896, 1069633057, 42282836, 643332352, 503194201, 509555745, 525704991, 259072775, 938489935, 384355641, 197111274, 775308484, 801860764, 613556637, 772997560, 303863264, 55984006, 711042929, 719768162, 62622499, 925330794, 691929046, 700665833, 63997720, 1063610012, 35664802, 20605104, 486432422, 280930549, 971399039, 398631566, 247900707, 343362152, 140426567, 450605091, 569732855, 625220764, 538258092, 302358051, 352821219, 743641448, 66975615, 694618237, 770503528, 616995020, 212395352, 177736758, 221981972, 855874948, 194491960, 258087433, 1004843198, 873376341, 952765938, 69255877, 152831956, 1054847555, 396067180, 906371127, 762028281, 96331199, 319374816, 616370102, 756989068, 724499110, 976925453, 599166438, 570249962, 771704840, 860152756, 242675281, 962125518, 965811408, 900856933, 286955460, 710566134, 993615229, 98350429, 954480687, 1044877449, 669572179, 669799339, 821803903, 355194066, 415114799, 734075183, 560212103, 505556682, 468771371, 471972149, 762665916, 373553953, 458284807, 510947315, 36058059, 622318703, 986177869, 573583893, 300163565, 322485172, 120668368, 891446501, 535186209, 774804910, 626053101, 560656129, 486281173, 913570634, 214183773, 967887709, 883463522, 133617601, 584276317, 400162569, 881492222, 41681761, 36798661, 576614228, 734861659, 682707671, 802118143, 719096412, 911817670, 172176697, 923052336, 528209292, 182972256, 674541021, 465657554, 891345032, 997162632, 387258525, 325741191, 217808600, 89858609, 488770597, 994383058, 962509243, 851869531, 294404215, 576085185, 123521385, 179242571, 638815050, 1070746973, 641145427, 710219891, 152946572, 857062680, 614196045, 57928464, 898113113, 326782182, 267260675, 855807048, 747859749, 758646442, 549142605, 803037645, 228681975, 1031486947, 529752466, 596761845, 312426787, 927697623, 216498979, 328582665, 36441011, 341024909, 813103064, 252284075, 104188340, 215026921, 1016877138, 947734600, 127278810, 561334648, 459480962, 358969720, 599436037, 892234805, 289118852, 291773622, 66169074, 253797905, 252326984, 912169257, 1006844227, 250339748, 388753817, 1072514530, 418660930, 1036847261, 782933457, 725289332, 54141185, 950146361, 965467163, 681055880, 882566313, 990474246, 116151384, 216482640, 987582134, 97885810, 496752665, 657497243, 892386835, 495174498, 1064459414, 347524516, 324160168, 1024895591, 654130882, 662792326, 391483095, 932020378, 13767978, 1061532785, 1028637939, 243286838, 32874997, 241027681, 705622975, 273778937, 16338420, 733716281, 841741327, 291408141, 425151820, 76374724, 680954741, 915859197, 859152987, 638237864, 201985799, 633566812, 369162435, 264965059, 267081151, 354146498, 282987338, 81529939, 1058681071, 440309792, 799173301, 385182844, 288901543, 69060843, 64631039, 78146390, 243208427, 616780766, 353673119, 10252149, 363377687, 139552873, 734306680, 763379459, 551343363, 709661667, 92123271, 397907413, 264026304, 200862978, 289844650, 61435387, 1043399003, 58527479, 617166526, 936363290, 211423078, 1009188668, 355622989, 987426890, 33606313, 557196623, 721616525, 666767430, 1054101927, 506246747, 833216444, 597372613, 1045070560, 161700598, 335731178, 94944174, 1070093653, 738209547, 44454114, 401717174, 142692914, 902972337, 697647061, 240024048, 916702886, 987405498, 705642427, 1005558269, 917353894, 299940027, 555051014, 1060809051, 432314762, 874673096, 688857319, 937677926, 1019676557, 113441136, 836252898, 499347226, 346740567, 754920687, 635281469, 153205685, 823179368, 411584539, 256129452, 78845375, 627730846, 699737057, 817587806, 18999412, 585917700, 77084416, 894023822, 688844986, 812893325, 8393003, 275330503, 188604615, 953251203, 446860077, 896586445, 335858776, 849071031, 933586354, 688426843, 360062269, 331416586, 815246492, 716635047, 311576769, 987032507, 950220400, 271012281, 1050830345, 236099600, 821527558, 1014921296, 193527778, 869872541, 775771931, 641805067, 971627273, 534094913, 246184148, 154507476, 1041806210, 424116682, 93626866, 552393429, 184518332, 270176495, 508419821, 1042536403, 589270884, 224081548, 511375253, 453663631, 79363462, 459770109, 972267038, 320616379, 763088882, 488547308, 511595609, 44927433, 572307015, 821520083, 887704487, 813678820, 615530034, 754795498, 143459739, 832051144, 878708504, 650346986, 748212955, 152972541, 154766265, 802933922, 824311157, 105365205, 979933540, 38483399, 775680437, 111688331, 449448318, 1060750990, 707146227, 232065379, 887657323, 300854848, 1061281708, 210883506, 585526872, 596604990, 792865209, 721737430, 330697369, 1060396546, 953336236, 237085875, 135453747, 163130352, 873112998, 919595660, 969623160, 419383494, 796566570, 484471602, 817703878, 593875485, 967859412, 116482584, 295475237, 983069467, 1039870190, 43739342, 203411071, 393731875, 125292594, 68932617, 367140455, 436941421, 648683825, 100444676, 1049605540, 115973937, 64073515, 548307622, 572108263, 554580420, 563273901, 338010251, 378146651, 1060159459, 745064985, 414357342, 456133019, 29821723, 31532088, 759581171, 988867472, 254789870, 46264837, 471532253, 623609315, 441116112, 265878312, 745042937, 336390333, 18820672, 78303346, 548737505, 102609618, 655439774, 297346662, 789439137, 600915983, 576587966, 629685004, 911434006, 47433188, 300331749, 1054398071, 980428386, 525482976, 825883278, 660887993, 374568861, 872395558, 86625374, 941268575, 701390093, 1063629839, 980328379, 936625713, 270673883, 566369794, 747882159, 418268189, 1035785523, 144111075, 275714621, 173762025, 115113018, 651793585, 984714113, 100835251, 1028337908, 138733708, 898716225, 277184530, 238730033, 878102032, 440291205, 302260698, 966259930, 475608122, 705535026, 322404090, 919023462, 511634997, 194783117, 391959634, 407749333, 238129213, 624688094, 746990038, 309958190, 793817514, 493932783, 902337461, 719616483, 959775327, 1021916751, 349405120, 122592515, 126499721, 447444853, 104368138, 448940932, 820976846, 28428042, 1052767957, 123757668, 327569203, 814787472, 393438573, 691715521, 446684810, 203243117, 912117310, 7153137, 514099745, 926163724, 966106939, 363513024, 798636446, 861970127, 852076771, 579730666, 462599900, 843596715, 1073634192, 917763610, 400709794, 809232413, 351895233, 379710983, 322313965, 772242104, 532644754, 644661365, 802318293, 25112306, 1023309210, 170110188, 136831270, 357577890, 988102057, 33750854, 11666126, 997722987, 507684476, 624333667, 587135338, 38263300, 466249736, 379421712, 750441800, 405028758, 818584332, 605608606, 68718472, 777334269, 47311534, 150750056, 1035356472, 247373012, 174562784, 544740467, 743913909, 23091441, 434994676, 305998696, 905210573, 73326876, 382775369, 841075484, 702879045, 959703547, 286739183, 311150905, 171116065, 646071238, 613382202, 136326131, 184925755, 859343899, 766500016, 409683923, 889942595, 861427415, 966831817, 59397873, 985844536, 134580696, 438028924, 490415079, 306266150, 578646384, 271179932, 36964895, 550878799, 490103781, 24222468, 570030563, 1003718521, 30394652, 799745393, 192379730, 771678149, 242584662, 282498279, 573772578, 945774073, 918114179, 560017192, 951631539, 429012236, 572986623, 852931904, 873311058, 765613652, 870886854, 759080327, 358772984, 100583000, 410031336, 362228533, 6974865, 751558255, 999813524, 670155733, 1045605384, 624840956, 259871977, 872547761, 795521772, 669568744, 170797820, 553867533, 1042393434, 45734698, 829495211, 931776062, 1049346923, 432760618, 194984044, 443494465, 101124721, 1003367069, 576050335, 274333052, 818012916, 378965891, 188828618, 297857365, 108824968, 396616544, 610375747, 473628334, 490270740, 953836564, 1013632357, 851786691, 211615210, 978883943, 837920175, 289105504, 186809326, 878375298, 469060235, 383505034, 827740111, 12661234, 60141882, 774743592, 501968284, 1014654830, 188167451, 325792227, 888563336, 343313509, 294216813, 299283944, 638063566, 166340113, 1027551693, 596444964, 831268984, 956344377, 453427999, 696784702, 492389094, 407372332, 12478172, 249532730, 343268606, 381014907, 504776415, 644435418, 399212712, 190938943, 131696964, 948915680, 920589518, 203307319, 679807495, 1062590163, 35069251, 63306816, 389144319, 981517831, 678093739, 260821683, 71379607, 488745986, 846261312, 1034393005, 389237436, 191825400, 851584442, 633930702, 810769464, 702225778, 685154018, 757753947, 151898615, 567052623, 736501170, 639010081, 429099603, 348540674, 517469498, 847599874, 885726199, 125732996, 935752532, 1052304815, 450193287, 491680266, 298694819, 508732703, 1043288724, 880517785, 204765790, 250232309, 157440644, 590971583, 452905347, 222208151, 430058541, 38387094, 892394652, 653420187, 323287660, 4454465, 517665361, 365094430, 975402194, 977265126, 1045395589, 1003989336, 348636010, 495124985, 1029678198, 650349153, 704107157, 569836806, 1044788691, 292843096, 135708056, 55466023, 34136157, 674643007, 602557920, 797610203, 931100767, 914977670, 45879090, 681900337, 69838489, 579009530, 864776742, 778656938, 735435732, 912302706, 902807610, 614427568, 492016495, 790842193, 169277201, 635656284, 924656783, 843211188, 290374629, 135371948, 289173701, 1000631451, 488832867, 280583404, 883634314, 510207604, 1064477556, 192517448, 664063305, 562659793, 472724562, 221343140, 485916437, 498013307, 371150716, 964457125, 175050510, 209144851, 208042110, 914611268, 783085050, 658191207, 252379876, 619582801, 254483350, 980703680, 134238430, 1060832109, 122899830, 569873111, 838241375, 589904965, 767454575, 624495804, 216428957, 674625008, 377812600, 1069640744, 1041415133, 519567004, 518843787, 661168996, 615045227, 651090705, 944170725, 659389024, 763440301, 690679058, 448729735, 229930626, 220374868, 901548041, 392049147, 375922011, 426601609, 69067211, 426985324, 213932726, 361848819, 685776121, 632594839, 253434820, 251642111, 465659408, 60588768, 861336009, 287669788, 525806049, 205549648, 497284941, 509738202, 995086695, 826063030, 379920629, 84949433, 567188086, 1071966263, 589817474, 403714842, 822738645, 996990723, 816003962, 835402456, 990060175, 717666282, 171025586, 775026002, 366146119, 789796928, 669919390, 376740087, 675588729, 488854687, 958444007, 1072689844, 925273227, 978189005, 862537099, 1061322716, 974546687, 298347286, 270072016, 15730456, 416484431, 872070282, 854411733, 515016581, 1018904282, 873755621, 608349154, 852373573, 28733098, 7559609, 67434263, 930932585, 344022428, 152019506, 17773403, 1033416057, 848616725, 157030796, 707438990, 17661362, 648101091, 599274855, 755142035, 758560286, 471174205, 644947146, 339538813, 1071127245, 375396249, 316707661, 546108537, 161448839, 137154495, 666053105, 834949548, 573827686, 1051550276, 150765609, 12861302, 842785345, 642416950, 309705489, 956452780, 469132216, 433559349, 968277876, 855331828, 848958086, 645391362, 488127793, 408499153, 869644543, 271966065, 847354235, 344360072, 445415820, 391205316, 244277348, 25439310, 723964295, 421644216, 274638380, 50767429, 425985938, 288693482, 332306225, 773186075, 167260212, 182850497, 445716799, 40863499, 501795227, 807440614, 529525406, 210473485, 828902890, 393603062, 125563320, 590699081, 804063375, 953856890, 575491304, 590184864, 444870488, 522976953, 590278332, 921137905, 424528809, 213194811, 276422610, 374196372, 230650494, 1030730450, 426797151, 212798709, 88713837, 454075891, 512544919, 220896694, 13032861, 592530602, 971706055, 381505611, 747935796, 294621540, 417643014, 281326593, 780796559, 26932702, 605888607, 819250750, 684000076, 702832202, 720719014, 35585340, 966614657, 963461710, 634511912, 235208804, 249503019, 28322614, 109305792, 346101628, 607874013, 971388899, 989797354, 622252281, 164294775, 56940141, 757039633, 588346377, 654199376, 260705746, 198330677, 945099577, 34996477, 108970587, 832416779, 857360280, 345788177, 448808126, 270277915, 610863905, 176925124, 960536649, 779302660, 1066454839, 804664309, 75409402, 387916315, 507833499, 878118215, 920093764, 121128619, 18013893, 53878556, 564887500, 978361897, 747665137, 323182798, 358389419, 851495953, 415929952, 463930417, 720715497, 630330915, 136773943, 226631642, 182519769, 896358780, 595015346, 439875079, 252952452, 297003519, 300927039, 57977311, 154968961, 617883879, 266270037, 670072296, 3162781, 739820434, 822130997, 250765307, 823023714, 542320558, 417276459, 1027554992, 37100304, 768400397, 342647343, 434704471, 667539422, 419740970, 647595312, 375219187, 850244388, 246043808, 562168389, 512330103, 272914296, 774427286, 226046716, 390259345, 857604430, 682182498, 1045546324, 971044168, 443350065, 343522012, 227222695, 247366114, 1012259043, 923032164, 851997570, 313161983, 285057389, 1025136568, 997206333, 176394912, 126395973, 444162491, 770521988, 1017839971, 528810768, 505917084, 626698754, 225008145, 852758615, 487277150, 969359786, 174463098, 382951318, 509132923, 1002458659, 981832563, 1035456787, 626333936, 14538601, 487156893, 719483735, 249341676, 573663409, 877482377, 610426987, 963514470, 807698540, 837882631, 353464454, 294636759, 306115771, 304919573, 6528876, 808225972, 992842031, 79021131, 575371324, 323140268, 1035467794, 207944610, 889593942, 611397218, 400871995, 833743718, 176731855, 776146904, 407045815, 151646007, 519341067, 257293674, 1053113716, 223350419, 362961152, 690481614, 350745883, 124017024, 526311526, 655215791, 859487999, 338055494, 44733119, 577183143, 158647551, 917257437, 628910244, 382269707, 337148231, 179823901, 89765989, 601422677, 138435986, 170155582, 636351496, 1072392963, 1042168045, 331399110, 790422927, 289590284, 1042979508, 971634733, 643142678, 466017848, 328536640, 659120262, 679555705, 258793022, 210154492, 280942383, 56698658, 855973784, 64029802, 404711962, 896961940, 344854723, 907567585, 630710997, 818009193, 548001365, 828208875, 952527449, 217034245, 401819200, 228882470, 279198023, 172982747, 168969135, 518179507, 887782699, 1058796905, 182061200, 1057538402, 801910691, 167880419, 697296169, 610889152, 868794019, 1060616015, 222452391, 636093136, 813168569, 422033835, 685212529, 450585610, 156295264, 606165794, 794932479, 520275003, 837539274, 900395700, 909941020, 588237014, 1054866488, 133789724, 1026586756, 188518640, 625498353, 609331371, 573588846, 795103680, 283149638, 875620765, 505200161, 948521901, 144310996, 841465861, 307323787, 870898762, 173733421, 423522302, 605893460, 961803109, 704680918, 6154932, 886034732, 496589261, 579998380, 902282742, 665908094, 979826424, 662453141, 611988404, 780658158, 534242322, 19350871, 716439739, 681694802, 704093421, 557405053, 337585128, 364028950, 181166006, 760527058, 891487781, 238630560, 662406555, 836972412, 796061906, 694718820, 758007001, 341169186, 61776633, 13853867, 364213485, 364671618, 681710435, 661601437, 336150593, 14437103, 817007640, 444246559, 97477237, 333550586, 510041115, 272719756, 150907244, 886532341, 8459999, 408292469, 897458370, 342617494, 943926831, 324174891, 807388846, 166808104, 736093804, 397830098, 154984235, 734035282, 1041092499, 493285853, 588379780, 434482389, 610457792, 1008092958, 642693423, 1026301193, 1028003079, 212306287, 1019679409, 326610276, 602330964, 561631661, 853230824, 290712630, 131840084, 520261923, 470955294, 316120898, 976833985, 936577156, 242376626, 112688451, 470314443, 619302614, 190387238, 467616186, 869378401, 624684654, 906361487, 339896752, 69486683, 761542680, 398891641, 51121558, 18621142, 1010284817, 134316183, 125076535, 696029874, 968363100, 284214432, 699804107, 1015857724, 333872850, 106804091, 308120863, 980329604, 150486121, 627905523, 754109304, 48085113, 286846650, 670288301, 1021250654, 462791759, 216486443, 96310925, 81225754, 850425436, 682159325, 694803168, 790661058, 314807681, 1066360824, 866612650, 996467461, 1052168905, 735208301, 986343609, 260617216, 751046119, 543681638, 948025983, 627559307, 829543217, 183401307, 622928777, 430967335, 201937856, 560270803, 762043776, 9490829, 307966351, 859836884, 928187542, 998122918, 118413655, 765534785, 4400543, 211629657, 926187001, 907671541, 713813603, 505035158, 533816759, 21240348, 371661507, 714196798, 1045276913, 841772910, 1021038361, 558764536, 937102035, 185079322, 624691411, 1027028245, 894833021, 996260820, 342670369, 6067815, 332099421, 270167240, 57423619, 246490696, 393139911, 165975394, 748462708, 314433457, 1041879669, 968268290, 988044314, 1068025928, 989086577, 497399132, 157940540, 471685730, 424580533, 418575370, 684317881, 147243762, 1069575959, 69078042, 241072202, 60826598, 184658116, 376611377, 576092767, 1010645731, 994019864, 153789412, 864414262, 477815495, 775158328, 858110203, 14517339, 120637141, 686090151, 26427996, 92187856, 499347290, 287489912, 619183749, 957780734, 931807028, 935588004, 709354014, 990601942, 187506320, 952191938, 608902623, 57298595, 740091376, 394675532, 60225279, 769466572, 951442817, 916018967, 975890307, 666310877, 350811927, 183717402, 215534957, 673647326, 519240910, 899571099, 787795636, 705746937, 405561519, 862462898, 932226036, 599625948, 766997929, 429326731, 865877164, 619843796, 302051079, 186885673, 665342604, 765336393, 823991096, 804743924, 998029176, 798297630, 80964704, 660050330, 312520210, 33047084, 2766165, 1046093271, 651569727, 867723272, 52662326, 375064984, 468685657, 270464481, 695263689, 500199209, 588197885, 516883584, 614396861, 820960842, 454903249, 370258378, 202628348, 100859691, 727511384, 714499962, 273294694, 637239031, 826894321, 74952018, 539545705, 576951092, 320173260, 141597687, 733304390, 1020412723, 481206686, 69990078, 255567668, 56078584, 383630478, 705996583, 716595646, 709982752, 330833272, 442660031, 617485668, 806965201, 517453792, 91306350, 642535960, 83287949, 359578441, 637215915, 848852876, 35777167, 154642492, 691538491, 16126155, 122226245, 966733181, 106613658, 562162699, 701167263, 910286838, 271587115, 503285971, 629085759, 829762626, 29085261, 162105911, 982158024, 5724186, 756369781, 981832445, 819224344, 396363385, 114914208, 594359260, 445863645, 48633687, 315160004, 591176770, 150583393, 314376407, 406204944, 866234190, 993586306, 989956323, 228713270, 851401591, 765702844, 740946491, 217271248, 701417789, 636197196, 234251060, 878980661, 198028345, 287859797, 626197668, 604499837, 943285492, 878016228, 648835669, 332542788, 465714413, 195147577, 612116625, 931671940, 834696557, 438360268, 806895788, 741791849, 918764472, 976030008, 676686956, 33369624, 552042022, 126684567, 410848314, 674757026, 362031278, 237325114, 806902849, 735910881, 746086099, 318698448, 910284057, 914867854, 67883523, 228697953, 834961784, 162519836, 141625875, 80205137, 684063268, 689766087, 74479635, 38413561, 1047032988, 473111544, 721708793, 91615211, 657856226, 851843018, 945171021, 1072214417, 847388637, 729696991, 831985709, 497954689, 1014135400, 157572055, 607591006, 177132685, 953183379, 126512609, 320832130, 1055777969, 72325781, 98128629, 825428579, 612168031, 147503967, 896706270, 436373623, 959750353, 230718136, 538470489, 435133052, 988929855, 59808043, 921700887, 558135546, 46240813, 892044736, 550022503, 165282667, 898741683, 621970465, 310787624, 221669955, 566525528, 238170389, 89043209, 878003333, 692090680, 376192393, 383620090, 162379850, 454138658, 129778517, 1006256928, 338579742, 445779881, 566742874, 716882911, 106846501, 887331848, 1036621435, 981351364, 33206786, 1000605133, 869064030, 623262574, 357749259, 1141680, 371299795, 504574938, 994672049, 987924778, 362647558, 399709107, 893184615, 408365507, 868663078, 377565247, 289830612, 450174554, 34549623, 281935081, 768309535, 238899727, 197528428, 566815492, 373391065, 559659645, 705820162, 1072800405, 323845142, 860836667, 380891762, 241557667, 903106403, 997356100, 446557219, 78318829, 424601921, 660240166, 385939783, 474505648, 28030064, 542338922, 476826618, 861735377, 883179647, 737773372, 362846772, 400520917, 788812636, 68166796, 357514318, 873807523, 541379050, 252582612, 325399763, 435772022, 792224170, 672771273, 742097482, 624127306, 408148549, 290212485, 854327867, 714398588, 765144667, 946081738, 470507354, 161999247, 64823920, 168940646, 537847088, 184680212, 482229083, 113473393, 444017753, 319530441, 635618177, 137482681, 565023441, 968822439, 923232246, 765509421, 31069582, 1017588998, 721459118, 371109298, 216578820, 812678218, 535232314, 646194049, 506907287, 670085227, 276927444, 482573121, 810626277, 800486249, 481177784, 927150046, 756584699, 242411395, 690963433, 370235048, 608177405, 402116420, 80982062, 1054694052, 1008514112, 604281998, 1042246740, 930263271, 987437160, 797759345, 124293365, 151018720, 462161128, 1073100363, 551907263, 907238380, 397844029, 465754934, 315776451, 294983732, 1019159218, 255597317, 486798612, 770571371, 287890538, 529870092, 727582374, 163812770, 388251924, 163308688, 518975122, 681277135, 971155448, 397730597, 1034537827, 421416930, 940232773, 1041707139, 753661246, 96515671, 1056854608, 535366742, 766612563, 676411038, 875207355, 818811014, 650743575, 444678134, 747063459, 72764039, 219880814, 73410333, 982850515, 636460842, 148310250, 1027534007, 394597793, 476256452, 453182091, 229952131, 918109256, 251338510, 715103005, 172654578, 164433104, 682266972, 544096986, 463812126, 796948589, 336157370, 428902254, 337266471, 890531112, 271696601, 652588025, 192687980, 56631510, 577295183, 912178260, 465144809, 215877882, 487052373, 648435091, 849197978, 13550616, 827350560, 38292356, 855436342, 316477776, 726288285, 182752095, 924800251, 751164340, 280147303, 809304540, 430902953, 628020207, 610689365, 694793336, 1071540051, 90922737, 246754885, 343228317, 1035712423, 121994011, 998616431, 986372225, 456328943, 391922894, 982158272, 284181361, 989536621, 1010947850, 241443873, 92132304, 588425227, 747517313, 178195730, 890736235, 892024605, 1020129682, 945328004, 834089925, 28861012, 504480819, 172109272, 124627444, 6982152, 500159120, 346040098, 870230987, 447667197, 678501359, 393982969, 1018490839, 998568760, 172542831, 275257457, 799297438, 891523640, 523436809, 344234499, 882930768, 663197205, 290860127, 468110854, 331160671, 985558265, 1033398462, 427771313, 670177683, 399974889, 790778254, 507421207, 691141730, 609914247, 721560583, 939577972, 803607263, 821124299, 790554765, 329331005, 344201983, 432699391, 459869265, 449120581, 400697025, 982531308, 242814466, 591127996, 708258675, 823620454, 347892189, 511305471, 47203686, 350211809, 277360235, 384368874, 615639800, 910788173, 762780066, 96441159, 439861822, 661410857, 685967677, 224625958, 866575533, 382561784, 832039011, 971815870, 827286774, 74279262, 486440032, 426479968, 393065070, 207075754, 293426948, 93753315, 1010523068, 886325078, 858738676, 101103548, 587763687, 1026574424, 1028291561, 206263870, 498871434, 670769031, 504735728, 194945828, 151768920, 934881814, 280244836, 330120902, 951837805, 381368633, 763819129, 786350426, 109037721, 143777140, 225910440, 521513665, 234813181, 774633711, 270693328, 652982231, 569847498, 815949895, 486927566, 348440232, 771766084, 1023685257, 862274100, 166323193, 971669297, 202614211, 1028460792, 989234257, 345852735, 637348920, 662830469, 81760531, 1062693251, 521724996, 823699056, 32183170, 491798251, 162641934, 67736270, 452481, 264524323, 610111767, 42487251, 206129714, 459486766, 885367926, 624078812, 523195898, 758962216, 875893243, 47461506, 153044809, 476918933, 951521696, 88832845, 882502934, 460762259, 593342581, 251437998, 382987539, 321693426, 186162012, 669076342, 554835216, 150430537, 265442040, 685135394, 406656672, 573225099, 981003021, 952586132, 247558709, 1012542957, 747617957, 1040346176, 347470759, 77021810, 117046998, 631706679, 604988357, 430092804, 467711608, 479043342, 418036346, 34749455, 48748246, 670406000, 217624794, 1073007698, 108610845, 695504852, 458388848, 166588598, 865176708, 840167763, 82679323, 429290959, 1051026733, 123791593, 677034777, 948816218, 597980107, 558302090, 968719847, 820624744, 287622342, 419954897, 476212469, 264181652, 256053210, 452649864, 392803440, 868630221, 833381571, 631676448, 866234544, 454417222, 303846355, 240360641, 336557825, 447728687, 430486065, 960661971, 332454601, 675088968, 716844283, 184375752, 1072574080, 282366983, 592206781, 761297336, 835715235, 701016093, 878591705, 100240018, 250635279, 713117725, 665632661, 1046096379, 571734730, 1045035390, 886258727, 282044257, 732631582, 261960286, 331194347, 546632238, 571740946, 452533031, 124272032, 579715520, 550353372, 845653632, 457197931, 379186710, 175443269, 1005653658, 24176634, 599391568, 322584891, 84187692, 1005474284, 692869521, 438946742, 778122964, 464139849, 126327922, 502604558, 66831448, 172436757, 7638963, 775270667, 167776902, 4076857, 970111357, 583735474, 934014212, 67793725, 230403627, 592977042, 822145327, 993285181, 900944275, 77367536, 731697638, 983014174, 610334329, 119975299, 1026993834, 110722952, 387621020, 172954397, 692995242, 1066990863, 690597695, 622410515, 75409787, 496738452, 458938027, 303465095, 520649443, 56672902, 634892951, 852425915, 436678208, 123640042, 698748525, 285691928, 52168776, 493786174, 390369134, 8066796, 34515750, 564535675, 68820141, 302749195, 765659436, 973124720, 22999737, 118060822, 344724763, 105450152, 342224205, 1029033388, 566168252, 852979622, 885617371, 808801020, 333134830, 834298410, 438446967, 754420515, 576266460, 403898828, 375936736, 880519796, 136337321, 795922092, 116485036, 694354778, 235457300, 696395884, 492900241, 942982722, 905556365, 356231894, 284123635, 566930151, 384169219, 802818165, 580379764, 305183452, 93324196, 511077476, 764253698, 824669859, 984488937, 461686016, 726210019, 420345845, 752644711, 669065640, 728602335, 427225659, 956338765, 401280288, 93637175, 32304214, 809780665, 845643278, 858887808, 375166214, 127052744, 869050638, 777656389, 283173462, 222340230, 33343668, 4614026, 858033889, 995858931, 383968183, 454355300, 394485337, 842990186, 634802298, 966485596, 878822442, 157063342, 933654560, 568196976, 363477099, 1033574387, 682789749, 35490357, 766821524, 735600920, 322820607, 48493232, 562061180, 161322877, 738835506, 576006246, 390120585, 300582807, 319771794, 416358419, 704864754, 628580277, 928240335, 1073393800, 1042284028, 634542351, 719380138, 319560583, 769231434, 1003607530, 513483385, 819821294, 960563570, 414152219, 440942944, 831731269, 916003730, 924730801, 446093462, 433378245, 867982565, 420906043, 315480021, 201751473, 17995234, 742551804, 963339557, 98424822, 531500065, 447783925, 728283847, 1023414770, 994337747, 240036298, 278828297, 749442596, 247908863, 1008693014, 216063541, 29375166, 663613562, 1012955615, 57072988, 257236056, 87415611, 450694469, 848512276, 557150023, 862987046, 859045381, 832162941, 162217878, 99153933, 898157207, 273340091, 467586488, 174944122, 676043160, 460705824, 960160912, 632904743, 237520538, 424297025, 250388865, 252104601, 1073365264, 650771274, 425467029, 77284933, 314171962, 982023611, 257861204, 1056945752, 657238150, 201083033, 563220302, 961948045, 928824981, 330399537, 875962385, 410188903, 879879607, 775687980, 956648420, 362450572, 907640688, 216161086, 827133972, 16118858, 555959691, 700401864, 32934314, 816446228, 195035755, 478986104, 653360222, 803489447, 412071450, 605896372, 758715376, 912012181, 957915377, 905601720, 837896458, 604589081, 272050551, 544681821, 1014002652, 92275521, 163277720, 1013256193, 674981496, 864522983, 741123240, 884734049, 523574179, 22424319, 662141496, 693558953, 720475155, 690002247, 573121769, 75665726, 466179243, 699992280, 823735207, 26468255, 311974893, 405178551, 802499159, 213997644, 695035692, 928230483, 419233891, 750421155, 276506967, 484449826, 159161125, 698413837, 240379135, 5776523, 450555739, 97681528, 39726102, 258019452, 502742868, 258569117, 550163608, 313266083, 716905724, 894471650, 349569496, 756644110, 899133220, 296497916, 382892447, 639108779, 501364928, 324430483, 262723138, 171597533, 1043069030, 945770231, 992432465, 398448151, 346563370, 931122555, 228882081, 186932645, 948364501, 826049208, 792558669, 112236012, 917732265, 710455185, 549252270, 828971402, 357227909, 193343912, 1023345632, 409375468, 326490124, 698096070, 87532992, 304669910, 291037335, 626910318, 779998138, 839234914, 570372844, 1051968219, 779696810, 750062355, 392082628, 649815294, 562299758, 866892843, 359042751, 728846466, 229519839, 424089653, 719159393, 165567525, 180249372, 296158418, 810789321, 318845114, 714107462, 590112029, 808512664, 618522423, 671047549, 475788971, 1073333791, 641035538, 393545053, 630006690, 168565542, 694137189, 827884335, 395879397, 300300026, 418450207, 521460565, 712247077, 271790824, 714068226, 547398721, 819934506, 244373270, 275224985, 751640516, 368349791, 749444633, 372894493, 251821840, 334032389, 847476422, 43438664, 186881559, 345948317, 473333443, 384557516, 197489899, 758997570, 411907717, 180512004, 375121531, 280262757, 723695673, 670369827, 229273213, 150630725, 735787834, 53859184, 194724598, 877677984, 528572757, 463929639, 394647400, 187597970, 672733393, 523898245, 351246994, 299862596, 103746116, 178515162, 586550965, 691603544, 219204523, 775587752, 31267552, 1014328348, 397960316, 8516196, 813523782, 208829596, 599244018, 214561970, 638907302, 151523223, 252462154, 675848698, 818910394, 938011759, 1026268419, 47178860, 667756221, 543914468, 1067803289, 533921336, 314128040, 64303278, 520331664, 878024232, 27531611, 409397514, 588227771, 62690090, 4157807, 236605832, 293589930, 204514197, 462610868, 348314326, 320491916, 566390401, 963537951, 653253858, 48843132, 329713958, 680068663, 18157435, 715302459, 368870301, 1058561859, 564017640, 449256735, 113405139, 555978330, 563187364, 986567871, 678220531, 944202878, 438833691, 29281130, 112549212, 1006699542, 491341692, 61014894, 919995401, 488411187, 968948429, 624403482, 774685176, 1033026756, 59559317, 791455106, 166558805, 525375670, 452393190, 328999333, 4780252, 183973797, 565710303, 894050368, 808671175, 463017515, 33700006, 969751773, 1017365557, 703265577, 586467575, 203986787, 954395381, 918199389, 1051412902, 172531717, 856382556, 884524510, 84007723, 31866180, 511594404, 974942285, 553979719, 683274042, 1024557562, 46520639, 537239604, 983103980, 201234474, 179000681, 705046266, 1007037790, 888918107, 638019830, 769692651, 897344191, 1046008984, 198138339, 997628688, 35122870, 408985631, 147546439, 684364057, 150180094, 1065408056, 238493842, 181143796, 130482316, 461597243, 610392427, 292179579, 116251462, 144569103, 9875767, 395342438, 451617235, 707221617, 628186807, 517525409, 800548424, 679450117, 230821400, 175916861, 700248404, 542719015, 202434926, 87804319, 336500775, 762669325, 352777047, 708655288, 885035034, 449419419, 817859700, 137536276, 43176959, 262222690, 125345446, 920503149, 413025485, 234613724, 704992883, 773690460, 461356070, 90730087, 157338789, 655379830, 457123184, 954679314, 478555334, 400841467, 153989024, 866336727, 474199348, 68515133, 77465374, 278138719, 296172047, 259013705, 94952473, 122054097, 699080631, 821833566, 784631612, 508489081, 899416002, 790036730, 1011981316, 987746212, 372305758, 383509771, 548073668, 970398522, 957712982, 893023302, 162662763, 171658513, 812320089, 55516780, 1012244906, 642603262, 1064171500, 749777450, 237725126, 551064422, 283237762, 630022360, 607000727, 684457199, 1068549721, 635454966, 235537725, 265528368, 434267953, 167942384, 901022072, 500178776, 526408959, 411407355, 671660801, 442597079, 592951157, 122360131, 569945799, 192911100, 948904352, 815973715, 357629710, 138005609, 248284394, 176570409, 522574344, 874367490, 74064376, 267575691, 87115401, 1011925667, 603668344, 400732028, 125482438, 101762800, 393638722, 125276308, 140226580, 673088146, 1051302020, 1035361284, 700077125, 442229186, 320794286, 559018942, 732182159, 904867276, 104337088, 498685981, 681054872, 573626929, 230709649, 469753354, 381250833, 909281164, 675720573, 853104353, 521246091, 41025370, 543065010, 813299656, 475054034, 96187934, 642246746, 600821811, 286418138, 975063660, 257289226, 591795891, 613548174, 376834047, 22371064, 808645736, 585455519, 466505240, 241532593, 280812465, 954956388, 884412752, 661918739, 914294232, 367270733, 769420202, 332657074, 117810733, 720664149, 755832734, 969573109, 699328338, 540665234, 801614468, 405980920, 361058908, 774136666, 787967203, 330830945, 19336048, 680247331, 930812670, 784623756, 462162316, 987775453, 251431499, 772646549, 955212994, 943974622, 955632733, 826804586, 602913832, 964638108, 576359625, 324123502, 474624569, 113553768, 127263600, 442793163, 414233617, 30544024, 895981642, 796845663, 977071696, 681295506, 330311866, 376256515, 687642023, 151573332, 993860684, 660281550, 966053098, 813791271, 670394097, 992916356, 49710917, 80568439, 714992982, 975022230, 503589636, 533981675, 662723566, 1027379015, 855587616, 623227847, 964519675, 559752094, 646743220, 396597792, 982605693, 572370694, 548463009, 108110577, 797473206, 1025620196, 195271612, 275613639, 752674792, 113150011, 96022376, 701954619, 306250100, 233804160, 474311827, 323907538, 252354076, 582909889, 519328098, 590430514, 379234189, 722045480, 123044166, 567999185, 571261662, 774725009, 81414632, 376703715, 785549384, 774906265, 901255466, 395022439, 1015163354, 803089828, 17356138, 653017260, 694478916, 38950008, 472342722, 247627232, 499796411, 292099284, 1008502809, 131702454, 486571283, 437927478, 401355912, 999474736, 377955986, 28776942, 45197871, 239057845, 617660307, 457487020, 783390951, 475960573, 958513039, 64510326, 250849299, 322208406, 415520887, 164453438, 1023230234, 1002466561, 718998985, 727999281, 541248663, 1024857041, 417461525, 169428034, 303497384, 268553996, 146706265, 724961609, 438749787, 698970214, 397021525, 2682414, 512783765, 22067814, 398218273, 349884297, 560594346, 2247619, 265054342, 241687213, 1014616621, 785735975, 252821602, 921227096, 566103013, 646026449, 1000254312, 329681148, 567792041, 335909694, 780456254, 244087467, 585400727, 333270627, 631790182, 6862850, 497025251, 689920889, 593135498, 17214463, 816838716, 641117647, 466481183, 699399966, 43119609, 224658194, 79634650, 649933783, 221314955, 932750804, 142172630, 757633267, 665810239, 169345062, 4344188, 93987999, 493221661, 319411462, 526252747, 167939817, 364723634, 276980571, 924393566, 321771312, 728174572, 846126718, 151025975, 418357301, 1070590496, 298193678, 543957174, 398318701, 736143068, 934073971, 512469248, 496152098, 832994187, 344942713, 146436089, 122388124, 918967853, 1021484721, 190800625, 623395251, 242248724, 271296992, 171971298, 1001016251, 328910621, 340033605, 63995100, 259255027, 481665895, 722122519, 953987072, 266825481, 139313552, 695714688, 733312588, 316011462, 177375595, 1009628575, 119272846, 390994972, 18363415, 3360659, 752783703, 176003781, 750759319, 312812651, 755966365, 1006259897, 429808688, 758588711, 348645912, 369408153, 333690408, 3226408, 741071217, 63605489, 1048551299, 173274156, 488657836, 996134189, 916693286, 771710189, 479504292, 557527723, 610430519, 111711902, 935380050, 267833177, 464485966, 384158477, 502127139, 469996892, 494034792, 585908592, 932746779, 956821375, 126028498, 574085738, 511312132, 749431682, 714171156, 913048479, 587246075, 226086092, 559958144, 594644398, 81325843, 766669876, 166091461, 1014078502, 780957206, 56317341, 1022848881, 157361468, 416309117, 963020284, 776947446, 673829850, 206158140, 151314333, 73480736, 678521249, 43907668, 646822282, 997800790, 104387235, 56231780, 172549742, 90050782, 984825577, 92543743, 1021863693, 944865472, 166825231, 940603917, 534811214, 156711544, 170096872, 437238910, 724374291, 191920136, 299545431, 641812915, 427389577, 949082157, 404007482, 387736786, 367607301, 1032326493, 1057720149, 908243460, 291104971, 134266014, 94316862, 271524009, 395057385, 14929840, 155729913, 232358566, 382798812, 167602297, 1023313492, 232493256, 288361174, 766855037, 188834468, 998031757, 913121850, 304884992, 525625762, 241490865, 1006093829, 207802406, 321741242, 781305199, 517100700, 426399924, 872684742, 637226222, 126412926, 206786383, 594444091, 903109090, 600380944, 281670410, 353134197, 101885071, 493683033, 166016004, 810782632, 707576451, 949309966, 545023140, 708193432, 498163421, 429238081, 312089475, 50220893, 932820594, 713300304, 71871687, 204880029, 544450765, 437085281, 335985024, 28159139, 456341246, 372004792, 910956618, 726650839, 359326628, 599652092, 1069052856, 586497204, 628026491, 895009268, 886367532, 731307676, 266218739, 755246483, 289189540, 828766599, 1035641436, 408422190, 143397630, 896735088, 13030233, 531836878, 482111274, 265110148, 350740346, 1008285620, 769871726, 31976520, 950697551, 2254597, 10602570, 851612303, 619426639, 932737944, 583953473, 804508636, 349995714, 972388267, 1067620918, 987045472, 686528411, 87394251, 369290866, 121594637, 249091510, 7482044, 57734955, 931542606, 410896107, 153241784, 395812714, 11243698, 106747891, 864168196, 378590547, 520453871, 201894306, 272670481, 862239384, 789846565, 92517176, 695651154, 983646204, 956562159, 995615563, 515617581, 850212741, 2023331, 630936383, 953638225, 4368917, 124874371, 328814510, 1033095016, 994231135, 596249694, 171232356, 298946414, 631473445, 760896755, 541312084, 823607030, 23812514, 961211515, 138148094, 585993505, 578929198, 592053049, 605873696, 203243367, 1032619476, 255795550, 233354183, 289224952, 1028674278, 594531870, 290459451, 784806200, 206465379, 397437719, 374066515, 624993762, 410427758, 925862113, 257037470, 966149387, 971665324, 1053853333, 427927594, 444152734, 108190875, 375239154, 198330916, 1051864928, 178253046, 148512158, 910613801, 628615259, 675184036, 6902395, 728828961, 977887687, 311091880, 345181044, 539339881, 438104710, 237812911, 331879423, 466857782, 500943610, 971519944, 24120366, 174955841, 918023457, 839745591, 844403485, 42652832, 993394829, 121720096, 374126871, 299013231, 308129877, 1025074611, 1057869953, 613094538, 339549164, 586637302, 390681382, 531002597, 858961840, 872984154, 307851966, 372033884, 333375081, 157780589, 721593778, 907132770, 173749054, 444666488, 437076996, 737653350, 301557732, 274706147, 587083419, 265637259, 405118249, 260493290, 668982492, 559697147, 910068148, 957977631, 224105863, 358290301, 122174558, 556864203, 940939999, 635131190, 987248014, 987919080, 39251991, 411142973, 784857854, 71361717, 406379587, 594528935, 948247401, 891407628, 201208637, 255153885, 84658635, 816363758, 410143105, 376038520, 118960713, 964140124, 964268705, 712388181, 961260737, 54040120, 877329799, 55409418, 841660956, 90251276, 958633957, 619184798, 827873035, 690829353, 830889613, 920175116, 624896742, 102078345, 89600908, 720310144, 1046376136, 724994826, 215711617, 697361111, 557294216, 120599326, 984209214, 98291830, 237082963, 488310878, 131030793, 670351147, 565737219, 345456382, 26047656, 99837837, 358083258, 300370761, 48894640, 444614761, 57714551, 736721944, 694815216, 572282031, 385814751, 785368620, 671521711, 31623789, 920049795, 114871195, 751161655, 982227956, 163477439, 999282241, 792634940, 411535176, 150735805, 394993905, 812279198, 59143181, 367559638, 522780531, 575925511, 674263087, 883295454, 92321704, 221584388, 972429860, 53805608, 367717990, 893643549, 864088622, 757629339, 679801108, 253385113, 249370350, 669709966, 170817778, 374676571, 132029549, 963237619, 357018623, 1042721634, 971328225, 438750941, 725395437, 978633351, 982908885, 521826575, 437712010, 214621327, 266544490, 900505542, 479910917, 168821584, 643641387, 191713007, 814943609, 323944011, 800409480, 927807257, 592694260, 984663901, 738778557, 243041348, 707454941, 12310386, 638275353, 290822210, 927462035, 310879986, 121257208, 681431155, 366977148, 399160127, 761134017, 281681127, 62830488, 315608330, 942394554, 368791487, 213979715, 121394525, 633485559, 309026868, 741219977, 555882757, 763574239, 1037036605, 2687620, 432053391, 43263128, 36486907, 651681280, 492858599, 673266594, 150018272, 1004435252, 233954528, 828152353, 906748566, 451730873, 757433446, 31433493, 551949200, 526694480, 198059423, 609510612, 421825168, 628100191, 737976573, 887719042, 84636618, 578869209, 642964922, 673425536, 217716253, 38028573, 591689008, 261109299, 280621877, 882366806, 618847728, 1019436934, 1006832829, 121821109, 863044490, 686590551, 341255406, 133433204, 446283481, 71031684, 1061921731, 19441412, 807166880, 300740084, 453295639, 746035153, 560404873, 762446027, 102112910, 492781055, 702038750, 327590184, 640379803, 371193487, 293249065, 43183755, 773768565, 331153196, 494748687, 711621520, 547437688, 756148606, 688220264, 232706236, 1059572126, 790254134, 834517522, 716968975, 38343984, 806353372, 525812689, 333600663, 230513892, 619241827, 1051084547, 658303904, 409251770, 226687357, 140987861, 801928090, 157878553, 97611965, 331001195, 586904839, 1054509575, 953638241, 178913445, 405765486, 742296997, 56935857, 275291891, 741492182, 1031046771, 565891447, 697540174, 597442318, 744175309, 629253765, 505310481, 706968900, 72419119, 235452593, 435227915, 59735101, 664725350, 37869414, 969581914, 972956510, 873825880, 223815944, 1005313506, 327615146, 489589054, 346273852, 37214213, 950995211, 613500498, 131665972, 588846884, 172745696, 635271942, 605527360, 425235199, 84266072, 1009615675, 919847791, 855545255, 426669777, 856424671, 800016169, 341432127, 7638652, 397082799, 530743887, 751982334, 669621054, 653671381, 736063445, 444443260, 506479372, 190745787, 994626112, 477136800, 800822939, 860685406, 18159013, 203984691, 996314949, 1003993119, 676234048, 34550612, 547246530, 875258340, 3184083, 608021520, 124130057, 371882405, 174819182, 233043295, 341450120, 932367430, 176870881, 881012606, 1093481, 643965480, 1016224717, 942946516, 691840118, 419373231, 624710755, 694170287, 46300825, 584129881, 993705328, 286859580, 648652610, 347181041, 430962078, 850896947, 211285057, 524850415, 664953752, 242355066, 477701821, 983281292, 398885476, 550331903, 198482245, 373794309, 1064071933, 909412101, 495541658, 1065937922, 106705381, 196934200, 154945148, 961802189, 207042945, 362645701, 984437822, 726383123, 620534904, 474467959, 477711184, 758340909, 281791144, 819036365, 289517137, 623456796, 910580752, 946255368, 334519729, 947561364, 838964188, 1059030942, 633264185, 300255340, 834923166, 365899863, 477089398, 642071705, 808088567, 326597511, 241498431, 1010726053, 917041272, 244198377, 792197600, 113659086, 854964366, 1039901092, 194978817, 341938986, 56001644, 318266774, 648921626, 165192124, 444988345, 622248214, 784316805, 295541712, 314019819, 38194466, 447880295, 745272657, 906225569, 538661925, 913856880, 224854589, 771720719, 21417545, 508309541, 957757190, 948095001, 49456739, 532198671, 928588809, 856744722, 41196250, 797755978, 77958515, 44206411, 984130454, 605353019, 103911207, 169054594, 453980591, 971842, 640518975, 401064976, 195861359, 356608242, 181488076, 73288259, 341531020, 1055480459, 1004435311, 530381006, 654541414, 64710331, 765234833, 179169060, 350804196, 1030280000, 689860055, 114647841, 1042082830, 808002211, 1003022328, 876188802, 771663951, 311180801, 782686475, 84858681, 466705578, 929818314, 299927345, 812568567, 190695336, 674460497, 455804188, 708316279, 439790631, 735356608, 804486798, 997769223, 285726680, 772729105, 981001493, 276450998, 772929659, 766257618, 518684370, 1044495779, 72007320, 124837420, 252307642, 928138752, 619507681, 727210100, 1037985020, 748443778, 864932752, 236000394, 931831464, 921255335, 781548392, 907207320, 406080582, 653291305, 255458670, 256724724, 52527270, 46700960, 573758876, 265913876, 589260864, 161468861, 583150971, 339549270, 296861911, 420900939, 156695580, 620409987, 1018685868, 100085269, 350051132, 273230442, 1050026249, 800102261, 791229855, 470707, 855436298, 126965830, 885034700, 637715769, 677415547, 346663115, 566014932, 388226763, 210506963, 155728299, 667488816, 385810894, 949561430, 194852157, 666355722, 152272031, 266478914, 560291644, 81188563, 238924946, 702500516, 137317407, 945269530, 504580710, 373117953, 860600128, 778394536, 563147810, 524882920, 733166012, 476306026, 983029549, 461952243, 638713547, 517999910, 726338495, 658712334, 66010130, 840688667, 949064267, 531023541, 1013898446, 143953316, 878571998, 1057272314, 515547420, 906920834, 811413983, 572828084, 275215479, 654661849, 386307087, 129234907, 61343712, 244774908, 382236155, 337039265, 645749688, 271859297, 875850758, 788138612, 1055466807, 669874171, 106980813, 966076418, 766703643, 564224718, 683366081, 774507987, 551087317, 346627181, 343647547, 663422167, 964594238, 1250237, 794350472, 604744649, 554409845, 73143657, 604345282, 1030439991, 346301421, 220545558, 578891570, 684405329, 52193910, 65676042, 967646671, 31765000, 494476359, 752440814, 911585171, 845181887, 157824030, 575577804, 518980361, 456378869, 582703542, 926717616, 367216210, 793723892, 729375860, 203629981, 863220513, 304416686, 908555373, 291628412, 862759398, 862663324, 385293976, 43343621, 402758191, 138406706, 768711649, 449305138, 1052923548, 665968223, 1045887605, 133463380, 268927915, 600997834, 619168672, 517327436, 307848660, 124186786, 778004454, 226464945, 988159214, 348679545, 959173120, 459966026, 928679232, 331814434, 1061095833, 128012587, 1695059, 435683127, 224906848, 365569069, 905013204, 426109507, 61325516, 920658123, 89965886, 3535932, 898643940, 198318682, 210942140, 940400225, 391140162, 53933191, 259266541, 138587340, 314797095, 25575227, 79993094, 500326056, 101237914, 748051858, 15813760, 550933330, 603520306, 533793088, 360118847, 679471619, 863992049, 542985995, 344433094, 701416889, 508293079, 1039239367, 899864169, 120171591, 709317916, 990338268, 936937697, 595466268, 207193223, 995358372, 291263905, 274672599, 876634732, 635964324, 687672955, 253833836, 571566888, 817185054, 553613600, 675451879, 202823215, 542662002, 424054451, 1003743422, 723258854, 677534440, 980113919, 447947122, 438706665, 504440961, 25515788, 475214510, 976717045, 360286851, 709981338, 833751411, 258901973, 580858334, 202955866, 581881298, 470835294, 838218036, 642781458, 222148905, 815924823, 924472744, 600798466, 70176103, 199048832, 320215179, 277199511, 824167476, 1032277677, 469216411, 378297486, 359842381, 207591833, 923785620, 44983993, 817831060, 840812767, 46032780, 1031527838, 182323792, 154744237, 905162505, 679257885, 475145159, 866117922, 1020777167, 904721750, 116546599, 230525744, 998041855, 498992102, 822835105, 228323585, 288172058, 354271836, 496480729, 337015997, 1623197, 883713374, 648543089, 238552281, 784112568, 808543663, 1003763002, 843864491, 452105335, 29894005, 406981217, 712428900, 629474041, 1058027177, 569434245, 542135291, 158761608, 881098251, 630280216, 1312892, 561268508, 643069921, 503671842, 480806275, 189756535, 146498608, 16200757, 1057688926, 606532462, 916063608, 856142367, 637063193, 280637586, 427314285, 390794629, 629331544, 383437953, 750870362, 792685463, 142098185, 851529686, 5920853, 729508261, 27695277, 773014868, 811132111, 592273734, 938234654, 160795199, 344886892, 354013074, 556797542, 369739842, 72512069, 235745842, 580633495, 785028927, 858746971, 853361394, 314803610, 153257635, 569874704, 871384799, 536154022, 679838460, 672269440, 52191928, 975491829, 289657777, 827509260, 843295838, 594782643, 578730794, 647861054, 451677724, 185072558, 1021690111, 498534470, 237705138, 511259393, 635489429, 1848547, 765800542, 124724572, 738187950, 398450717, 535908843, 1052803800, 66789651, 112838473, 143710151, 437835484, 1020309616, 105512771, 683079561, 113788654, 769045944, 270514783, 228970176, 767715940, 1053785361, 522742034, 130544105, 598024593, 1000011712, 475612460, 248270979, 834773875, 988066428, 6213895, 244524395, 735243533, 747680537, 228048314, 185237823, 217396516, 744349773, 543180395, 69628282, 827927776, 877135593, 872339088, 411408539, 1015954254, 256426071, 231254426, 799556422, 647927811, 670106285, 556517951, 943729544, 1005446717, 1014952688, 500152595, 889762392, 814550951, 969784003, 133440716, 219100349, 458487880, 172681897, 417883666, 592704127, 367892605, 930808981, 636866591, 756815496, 259252371, 253450899, 528845874, 641065652, 368573144, 924111889, 345373005, 538576660, 748801821, 621876359, 614114089, 424330797, 578074907, 85266306, 278304212, 547013497, 846300888, 658864428, 458657835, 233961725, 86917413, 562306860, 498553390, 713395516, 57806103, 642091890, 933263124, 356463207, 727068840, 40753560, 306803414, 896012744, 785550846, 264533296, 764989180, 764913937, 556313617, 557924693, 856186087, 929024179, 228317337, 571730186, 471696576, 535507688, 979654473, 1021410463, 1031424619, 975105526, 884052021, 526743359, 638492688, 177056818, 438944499, 648074306, 119318835, 1025107969, 695079757, 478624888, 292211809, 296613044, 27208714, 997241300, 778365674, 80890718, 731122661, 813386536, 964145322, 259747684, 366970479, 641905196, 519873876, 828343920, 760518929, 505493026, 410926474, 945268798, 667564129, 437734429, 621194712, 217457255, 349697041, 217631193, 902330110, 952071553, 997836397, 730841152, 202726889, 460536512, 352578288, 908363480, 792634274, 1043954085, 548098777, 924469406, 992540125, 21256549, 1070652553, 417620622, 728816386, 577077378, 121631056, 2766847, 618530375, 721239512, 1004378924, 1060240534, 415942244, 434636705, 808469463, 996166350, 104281170, 935588247, 1065478752, 372970467, 332439214, 802057351, 227313863, 423101308, 869895708, 51162216, 118691324, 892258546, 863692236, 693236661, 646586438, 618114724, 776454098, 1014726144, 608419996, 917130104, 684061617, 356512253, 50812308, 708077035, 776029365, 657320344, 485446152, 489762401, 506530308, 810625525, 370535271, 331563020, 554711941, 107031591, 320222951, 106166161, 242257906, 897954206, 1007685071, 96897700, 784701632, 855407675, 706095437, 611991064, 775480393, 273708898, 816869534, 406783624, 94630140, 168223247, 611028581, 812201888, 199463402, 701717047, 899632181, 308382963, 725030565, 629071588, 805211881, 133371611, 900816952, 620464377, 952698524, 456765940, 847732944, 308788779, 68459587, 796702867, 1057754656, 910399475, 383398739, 421075106, 205937707, 650283082, 1055815133, 1058311956, 36547561, 586650990, 865378879, 970421463, 712291152, 709950201, 27915558, 738795096, 134493504, 427075459, 697143211, 318300281, 34734470, 259450299, 121538224, 833115955, 544432689, 29092629, 953550874, 486534369, 136321526, 786399716, 740323425, 670577922, 166960883, 331735584, 454904522, 134735462, 402607909, 580569929, 47302598, 523968884, 296783833, 393797650, 773004570, 731958960, 858732727, 304272879, 882689246, 599635036, 67027585, 374189605, 199068807, 1067885821, 204146204, 456486140, 791695480, 764415243, 797277773, 163116598, 181508373, 866753503, 202784764, 453997279, 61094116, 549356392, 40532978, 718256899, 526372284, 584581540, 66334392, 1015243680, 242317863, 561031499, 106213318, 774142105, 120991550, 890872732, 324478993, 1060813548, 323068279, 23547757, 377714469, 761507996, 912210518, 199849903, 721335210, 645714478, 825385869, 334239087, 824647763, 979251953, 309367471, 458907125, 508609058, 664233137, 294356390, 592100755, 111804883, 641048628, 511074624, 541530346, 813016087, 710096286, 70269305, 525134218, 962370485, 500193146, 828503819, 270416564, 43336330, 839980109, 417372936, 858641243, 513796138, 4882051, 1012940291, 378631181, 389265794, 1020811574, 479735466, 391683358, 883774774, 1072993063, 722182720, 99327475, 917641329, 970267510, 806520814, 551213675, 659653292, 168449502, 671955866, 38961377, 985413086, 830185318, 1045174027, 234563896, 365407186, 823863384, 655722145, 309172132, 457200697, 851168357, 3534577, 432365147, 384364425, 973088854, 261854664, 48520787, 821092344, 308388847, 863022596, 169108461, 465032197, 600573208, 453038234, 244038298, 400824186, 963138394, 581277904, 527550650, 926728292, 323521659, 918853403, 508835464, 690171428, 745339478, 173486163, 395055978, 495960523, 844637161, 165426011, 907550056, 1051946687, 1030533588, 144340004, 65611766, 164303085, 589615473, 1005442703, 1045082637, 936101307, 217406500, 432933304, 458996882, 516847624, 774576031, 917141235, 500385099, 147783287, 820294834, 15269817, 145834032, 435073395, 193411602, 877548105, 288834434, 842011598, 377455601, 800335084, 25957426, 1014615684, 395662991, 643265473, 56290099, 958456359, 212580459, 1040524858, 112531005, 520483183, 76902544, 947818077, 352986476, 186928175, 307075650, 781875806, 269429887, 541994912, 668941864, 287188471, 515634089, 676191142, 536326142, 222599759, 391066993, 134920414, 1037809457, 814291171, 26602944, 244298522, 318091233, 617967129, 479017893, 508209441, 841992187, 501911317, 130054801, 1022501855, 947837762, 547492443, 153452398, 190677554, 356173441, 486209991, 1036881397, 846108821, 825019447, 435961095, 1185547, 45613306, 1044297557, 669044905, 374502952, 274386595, 250361624, 836684420, 1066888754, 299505229, 536275399, 13982657, 646683919, 922172407, 1005690981, 553486498, 413547545, 66669658, 573180699, 412047127, 400567418, 465716894, 751511924, 762568747, 710761027, 720050943, 443453977, 612256680, 1004856972, 394988005, 412194166, 885124645, 43657855, 85438963, 44743160, 714485085, 413387518, 786642902, 425859251, 329766524, 666582913, 559146027, 123898108, 442598998, 168738130, 1014506863, 178613450, 232260347, 880274859, 814028333, 344380519, 988653677, 798438837, 609858322, 907128194, 382682335, 480916316, 7745731, 103388253, 249321650, 880671200, 854270874, 236096013, 760727197, 612080244, 933082625, 320575062, 583838545, 242970797, 897407093, 543521420, 64582165, 268977940, 1013388975, 119679256, 910784224, 260869854, 806885006, 265633782, 1030036940, 470593418, 9198044, 578799896, 6654118, 92153908, 552394073, 108751982, 881401034, 300041904, 389537121, 356005882, 794230817, 759753299, 3943731, 827936715, 703165656, 1006226287, 951259200, 612544142, 768334955, 806380238, 305278219, 656335136, 1057776488, 1016216648, 143063522, 89700496, 335919614, 55312355, 921794522, 592423450, 38613586, 658234776, 566210262, 554127224, 933872173, 196320444, 328571178, 24451966, 459533605, 122329453, 424837565, 252010046, 837770931, 934624116, 524405306, 526808115, 520638245, 71229721, 901865960, 85307746, 514117811, 746293018, 406302646, 912697742, 925145690, 1008164332, 972282450, 498898894, 173159104, 853266844, 724320687, 342509568, 377361853, 197478853, 79428899, 390474972, 129335325, 262034995, 951528898, 50386285, 779671590, 536586021, 438067001, 530451397, 342166784, 171748149, 145631065, 162722667, 264362759, 977458352, 586860027, 710677406, 767534295, 106495030, 918443376, 1023738742, 429506657, 1059004511, 916608031, 701987003, 76685524, 40919098, 86533004, 648651315, 169029708, 226029687, 452317547, 24860111, 150345632, 667686630, 238169549, 1049531926, 58464562, 535966202, 697423490, 942381879, 896019391, 229315685, 590700586, 294883434, 546033671, 906501534, 648921458, 1069038561, 1020869418, 326023964, 427604581, 922191422, 42170929, 407431079, 971581639, 640848687, 510414702, 803000256, 241854504, 676022997, 92187218, 140123007, 91667360, 709150956, 799652836, 439987319, 177406689, 318232411, 855238839, 451303824, 437500956, 171616507, 193119159, 475851248, 1047626841, 211940421, 440497308, 184187394, 682907647, 100549049, 252347003, 157786805, 1023979883, 101634906, 512336827, 234150090, 87453912, 72164013, 94165122, 499104379, 75411537, 898615095, 954046124, 258157406, 396854888, 862779178, 651370835, 785665691, 973351929, 61313778, 398476631, 240190427, 925554159, 930252038, 10603149, 988368046, 695846330, 59194954, 689957240, 121227246, 983277944, 793982749, 214866921, 264850070, 993655310, 61884674, 903624666, 537142136, 97190611, 567632034, 226565957, 467598658, 505404797, 740995864, 436321515, 584286719, 564476356, 633999399, 835432772, 48987678, 951646664, 1065739465, 808660061, 1072074770, 522411800, 913190073, 370171236, 836631906, 1050520146, 157643171, 87405370, 787280858, 1053532582, 729137653, 80113519, 616155953, 229263042, 1027700294, 932259047, 211815983, 698684699, 790128128, 399733761, 653695614, 724177612, 690140574, 833081499, 548573799, 509924443, 747193011, 1012329246, 368381317, 88288168, 23523004, 49674165, 92023819, 622331045, 726641859, 154700323, 981096467, 553739231, 126789370, 396967415, 373073678, 351894989, 793741647, 313730762, 885559002, 629273524, 80021220, 275245952, 819953782, 875474318, 1003360107, 477734350, 649952929, 714713445, 487321404, 240803362, 212718758, 460859690, 538374989, 451942067, 103585189, 59000089, 615312277, 113796451, 316870738, 636478265, 766019258, 309464210, 69733990, 28167582, 692063509, 898742406, 906665743, 1004471782, 341935791, 245059414, 255226192, 219967155, 230283506, 995998424, 909502280, 569527516, 869334299, 1054924442, 320407655, 266814690, 385936631, 65706490, 541374255, 663237091, 15629845, 83701193, 908727146, 321033945, 551765867, 517608070, 395041751, 527541156, 353282402, 955967545, 853491405, 644957791, 545857861, 721140217, 928841723, 601171960, 113481842, 978339542, 1012681919, 82215079, 821196783, 585098926, 196787096, 996934894, 350461377, 996519682, 16948500, 990298327, 503497723, 155302652, 803404585, 362173723, 732263435, 494828694, 70744506, 138115964, 224846444, 64190503, 176904318, 348600641, 807300249, 1043145116, 41706591, 846062281, 918055381, 595872089, 992944502, 145344933, 294841524, 193196089, 735358667, 229813352, 395018788, 477813892, 933945515, 704060747, 136784480, 831078278, 224706786, 79763696, 1056685190, 814510723, 391490117, 358340553, 493682983, 16668701, 244396210, 794702930, 666576435, 1049487905, 625078042, 626216758, 794336437, 17474860, 478682815, 1059265684, 65477984, 336823908, 886612576, 364602203, 343625090, 1027343738, 18196564, 739324047, 436338932, 868197407, 887891744, 323205065, 162953246, 38270656, 258596354, 426527239, 712844713, 616009177, 1055098837, 1020653862, 90007776, 1021114372, 484509071, 788771603, 945197131, 1072105371, 351392460, 835312427, 829490308, 763783514, 425286180, 363021181, 440978853, 1017924462, 328226152, 812061108, 526475102, 689278320, 125031249, 493643557, 71059917, 959159793, 552131615, 747527824, 455163724, 254356957, 317429647, 523970071, 804519179, 503514927, 744086579, 355920822, 16675049, 358903361, 18929718, 1071883063, 687154470, 775749098, 614928763, 574774276, 722676027, 970652260, 681874057, 870809146, 1036712675, 938232118, 822515720, 114351662, 994127715, 19176914, 786859121, 907343990, 987322884, 115079156, 514672110, 911523607, 198159812, 322730225, 144861152, 447343633, 453254222, 306642088, 334696548, 500912783, 168844610, 196815456, 565887887, 210131166, 13477044, 85584964, 579460152, 104254678, 131500718, 877752350, 663907244, 1024969428, 251759032, 753753507, 391334856, 300953519, 1030543604, 564149873, 167438952, 726607518, 518075022, 286362474, 112744170, 914434358, 1063431213, 209061991, 200598763, 862982090, 104761588, 1053141349, 217765218, 208258049, 901398756, 870873656, 930993420, 791397137, 953594701, 564976516, 825125376, 1032969402, 230806495, 176423589, 271030250, 291207768, 359081261, 584233882, 295243253, 61004712, 947541446, 28127435, 724709228, 705246764, 161271836, 497629039, 242008173, 681039049, 876822952, 50370999, 77063032, 673354287, 325456704, 873083481, 963881540, 778304331, 212025814, 461385462, 99018143, 139127533, 743421042, 919285981, 327570497, 1040053080, 136038137, 247270138, 378649997, 368810513, 945890420, 854400847, 599499426, 480602814, 631000973, 246417750, 664432719, 30174360, 322026631, 745647888, 568408044, 207663174, 21781376, 775269087, 917180840, 550163817, 68184085, 666197687, 405503728, 1004228356, 907744519, 1054962996, 617086, 992355601, 338669097, 75027506, 53880619, 80806270, 403002924, 787652353, 656229684, 894839983, 367249948, 603186707, 592114791, 165594136, 418920421, 232845817, 271642663, 260769881, 105685123, 324611523, 381395695, 455323621, 463691535, 808501821, 17664166, 428825810, 835745226, 351556142, 20813869, 265331263, 738140253, 219174397, 459527015, 100111286, 332828497, 184908146, 1066517752, 81497190, 476460750, 422892456, 107018366, 691512758, 195250270, 20963298, 353871181, 495269163, 801495157, 362101470, 378365092, 713729713, 292055750, 481616887, 959440025, 744794231, 541366465, 969243527, 436012309, 611070764, 78327292, 429359863, 480980703, 798767465, 832189748, 919271622, 520326062, 741075786, 886573413, 825588080, 8492735, 936578109, 588156701, 737609836, 912755660, 356287225, 554203120, 207980080, 619513456, 940279572, 426884737, 731629811, 874229806, 862566447, 298394319, 437505164, 601002623, 925146477, 417409979, 13502860, 840458505, 38031890, 989210837, 683128127, 768326912, 482524710, 423967325, 1017538754, 241405105, 532786976, 638410655, 738381884, 814531366, 453922367, 590366638, 36215169, 70019631, 844454114, 571454941, 694911014, 692530596, 86540564, 1057114842, 469563393, 541900217, 35937042, 660339427, 512826935, 646767409, 134806454, 695057973, 930535162, 295040330, 448370165, 181438318, 1006584438, 304121588, 1015042799, 762364244, 589418036, 686182250, 962828304, 65028067, 2163171, 820519202, 561793169, 205971766, 536971056, 146815602, 465380459, 377646943, 786987471, 930984780, 239391395, 761336878, 1054067169, 824695063, 389310637, 204333661, 473448394, 1069787102, 465794863, 79628854, 820367781, 11894158, 621241981, 315124703, 648723586, 546546054, 1014488149, 851120689, 234494212, 315992576, 89602253, 246310011, 912756159, 384245248, 1058899867, 2560737, 179973874, 765600374, 336725427, 773801817, 501985665, 439491612, 289661233, 867364521, 988002030, 13896231, 327207794, 906150865, 122899896, 811285232, 1014593899, 526500475, 447111364, 778883991, 443799378, 423619549, 141167720, 503267432, 191702550, 816013116, 260773327, 435705988, 94934050, 808089640, 964618891, 981917840, 444406907, 928745316, 585614002, 1004218009, 405094430, 21594073, 480725809, 749911883, 346085412, 902724737, 454845891, 4636573, 107916939, 1016195739, 108448489, 530058617, 890880539, 64459416, 449155397, 418578207, 1016444261, 245193301, 340850731, 783082842, 633277977, 92335370, 407097237, 866178040, 138500783, 1040188524, 655336390, 994987329, 415999311, 852493604, 802654085, 917599465, 483827333, 436136034, 83378421, 308556244, 348801049, 384466092, 1056796564, 978212714, 227871377, 499141003, 766218329, 669092754, 297194348, 51109037, 453639298, 676518374, 1027909912, 30763386, 211656199, 297623974, 215682502, 141683489, 629564108, 223368196, 125287035, 432304817, 168936051, 364185244, 259232992, 767097767, 734376032, 143326260, 289043258, 604544375, 459110907, 144285174, 169318415, 956366695, 649359406, 478394874, 546136325, 483624396, 54851206, 400949919, 555399888, 281286866, 161302831, 298810448, 662055940, 152220364, 991446631, 288244492, 519862156, 358885658, 88892317, 279717649, 6727137, 343641281, 405320581, 142304475, 660511789, 28777268, 754300184, 194274337, 845556736, 435001775, 221726297, 238826645, 817025749, 729266866, 1069115975, 840465929, 737863591, 313897964, 626033484, 553767364, 869398378, 23908386, 522538674, 7854355, 939854520, 760539470, 926479139, 818229918, 240496394, 355661740, 1017267312, 146019216, 203046411, 245605400, 971065932, 50764002, 755883693, 50527337, 939748662, 72792679, 552146921, 1048025972, 1015835119, 203518509, 1020412063, 192575376, 122957217, 833125264, 966671261, 1038995411, 463966655, 391380541, 157476522, 42442577, 639684378, 60860914, 580375162, 264188982, 214000201, 790642735, 479415440, 740850547, 267343162, 120481926, 998866031, 869531836, 189343595, 699314029, 87102349, 625009528, 853062019, 465178232, 179699086, 1020441561, 210998918, 952970904, 313023143, 416408790, 214216517, 638580754, 719473670, 44155033, 244453017, 376619831, 22744984, 919581614, 45018819, 316325801, 812932535, 436333495, 349901589, 997647972, 454774522, 990493148, 670849716, 212502940, 267009430, 553138742, 988227582, 964238709, 770243732, 600518275, 973463934, 43215993, 87095959, 505934029, 678048162, 947278276, 5185643, 655407050, 526539809, 980311598, 760946543, 6428804, 920289951, 512531815, 896267429, 437140055, 456491740, 19419244, 366409045, 811804251, 280759417, 838766523, 693273070, 1046105019, 308675795, 268735868, 764638848, 914699273, 237626385, 620636468, 231068930, 880359080, 133868479, 431382914, 943302611, 173083617, 922954676, 625015042, 831769860, 155323129, 79484224, 928561898, 1003608103, 169436022, 246128135, 167729915, 282602876, 775281875, 190152219, 314031300, 892972382, 425398138, 816184555, 9304145, 553711206, 284873308, 759881195, 220239828, 59821102, 375540502, 1029392451, 876800450, 854156673, 256623069, 218103716, 1049536859, 483180411, 397738776, 427856045, 590477760, 720775295, 187963014, 270503901, 166853197, 355315035, 604647088, 842915778, 218404246, 244972063, 987987721, 29378790, 952569808, 685162813, 1009281653, 929898359, 465970185, 1008693362, 566033032, 349394755, 222253709, 654695336, 11474760, 951336046, 1006416140, 750161289, 345410111, 844696437, 166693773, 464349633, 1067976311, 276618535, 897787416, 36888230, 161158665, 1009312666, 297613094, 249967416, 675795436, 38764549, 418600228, 309231421, 82581453, 924295025, 525146043, 909734225, 60371436, 513803747, 525930512, 531336913, 52089677, 753342086, 193195901, 296422653, 457083881, 494689526, 237106831, 1005988789, 313681554, 814791455, 979942848, 1066203817, 716281947, 348205052, 435679973, 691355252, 199419721, 908190071, 75029395, 539423959, 1050114942, 516787216, 679592573, 986126527, 3429487, 625327849, 235702001, 666357654, 964081506, 888236629, 42955590, 825276336, 526454438, 84621340, 138755319, 473537061, 346910042, 677819541, 713960367, 396358583, 466513276, 802865798, 985962697, 1042699323, 173195336, 928589312, 36544274, 747299378, 858283187, 819447781, 588576478, 170914355, 332424395, 1058123910, 331175894, 229041198, 330137613, 73659101, 1000300543, 1030593801, 274862126, 124471195, 278110204, 488081798, 321753984, 235625029, 336201358, 1007373312, 88847481, 342591572, 954023664, 357631497, 705736556, 302498091, 140287226, 989877049, 199389838, 682403365, 486984759, 1006153657, 1062387905, 42462309, 238933987, 1019836115, 399093458, 651822524, 904179719, 975983506, 165047427, 40201364, 512686666, 684363285, 541754493, 375545752, 609147298, 384835909, 335772911, 67610744, 1071722347, 538536512, 321404356, 62558222, 680336315, 549219958, 594543891, 633999318, 597715274, 885114608, 718719558, 708410525, 779193134, 742490066, 859276995, 920277365, 193817138, 1008165482, 78737293, 633240970, 181428027, 855875131, 856893381, 1003182801, 429855778, 392507685, 347335968, 1060259331, 770517516, 531322910, 480866034, 270927, 1050214988, 768879356, 78599235, 376391298, 774511138, 899537003, 261464430, 474166421, 1031902142, 321127413, 426527348, 888880794, 668954656, 187832741, 503471683, 143757647, 972291945, 316786262, 543406812, 440073204, 590492199, 635320136, 6753567, 750054022, 400283080, 330095797, 182621546, 677238546, 354831396, 209617853, 957097865, 119793885, 746921074, 537129429, 977811409, 596205940, 711240974, 187756326, 148789064, 338410100, 407823952, 766170808, 455760491, 536500485, 914534653, 745430316, 548771193, 201772541, 794655541, 345041392, 919938154, 568233034, 913361997, 660109320, 1031691165, 235330931, 801715868, 364755055, 677262918, 349854531, 588653438, 477882161, 875487368, 304374561, 357694181, 242569647, 1042207067, 855159567, 714309671, 689239000, 756313923, 927102005, 726992225, 9825904, 658608517, 727280312, 657453549, 1054184797, 330443552, 182142401, 571550223, 293387256, 235608648, 223249375, 609106927, 641938334, 214083630, 479480066, 857760333, 532263334, 48841842, 425702902, 893457715, 34088919, 1049826823, 556973607, 506490230, 935101967, 353431882, 118127529, 189422534, 620054349, 968130621, 442404786, 452317487, 1070909974, 1035882258, 997579343, 624595068, 340616112, 346863672, 137188919, 979776047, 699757885, 384144381, 897453100, 136135406, 354104413, 815420679, 121736438, 909566074, 378375415, 118747726, 893464274, 672407557, 1046845216, 440336272, 587814202, 308498707, 1000569019, 449872110, 643880276, 800219257, 504836134, 857695913, 975548294, 52399709, 784945857, 143625290, 879512557, 447041408, 273355704, 44893518, 413429996, 804297082, 1064774516, 306477753, 458910300, 728056424, 669793607, 366142463, 635374667, 392845936, 953090083, 41577344, 639472793, 119382024, 169807014, 452981129, 930903731, 617916153, 221382030, 79348398, 1054700085, 1046591084, 399004803, 788188414, 642124549, 764499730, 877262163, 322124645, 873185129, 876486735, 355875834, 120031799, 65333504, 389467473, 801478418, 552814516, 691451131, 964741812, 248966699, 165623989, 660194660, 896521043, 106204999, 454531721, 429686207, 175356859, 733729495, 887720675, 804250463, 341162150, 877309385, 587323595, 548621773, 779753844, 445245927, 535028154, 170849831, 928725964, 380424293, 984335592, 400182850, 570971264, 796387281, 791279170, 52728819, 1056922031, 1047725250, 23352421, 775154837, 917581319, 295653653, 299399322, 867950493, 876093341, 117258354, 584512309, 790928625, 841506953, 787347095, 813575329, 171579866, 328562854, 82668210, 554460081, 986414604, 790451735, 68098295, 949267184, 470353343, 185237978, 108321577, 8954026, 253971866, 640611245, 294102471, 626103649, 204423280, 467962220, 272916437, 22386071, 178920537, 155453925, 255656130, 173808623, 774306418, 688234440, 60623232, 279287420, 149366515, 157313313, 171602792, 361952839, 103491115, 699426694, 46918711, 957802415, 820317674, 316728788, 499425460, 90783585, 537598014, 692184975, 314745850, 737312447, 711203825, 537937444, 471476396, 160612109, 58764336, 533966895, 542811233, 395466122, 649486904, 974784644, 450550240, 267886635, 168734346, 452586919, 918132510, 603615530, 699653419, 231575908, 97326920, 169245171, 636774813, 775417074, 125117077, 613084894, 329231124, 933687572, 652553306, 729536244, 607840690, 590356812, 256822682, 647872218, 297885617, 75987117, 506616293, 10895831, 771159895, 337501314, 393428492, 1026186980, 390789300, 394953419, 622233309, 1044301907, 798927826, 410237094, 861406406, 464489663, 247092268, 225367361, 1010219250, 780592224, 291381727, 951386754, 458827393, 236374656, 795677649, 66208330, 164183056, 247584002, 527733105, 359548083, 744730159, 846785808, 611448614, 1048099329, 440703829, 146758754, 158343511, 417493779, 785335721, 318330078, 558807709, 132838117, 826603450, 1026002037, 607993125, 477399080, 840881720, 582390829, 109922746, 170175314, 450919069, 493559492, 541062265, 612865302, 1009674492, 454611310, 543143829, 473130496, 619809420, 928305439, 170098990, 482744459, 822729880, 15960180, 398738891, 351795635, 323864756, 328791078, 436907529, 879700310, 725338189, 274564874, 86486369, 339437654, 544728967, 52139638, 485139777, 758340319, 500392887, 671197161, 777176400, 153923709, 587892131, 208695161, 293612107, 109299389, 246844607, 773989559, 137883429, 459636865, 536657478, 986755159, 501430015, 842740190, 667225761, 1012589025, 946986307, 263610496, 994490046, 34762982, 114935201, 741993607, 20967372, 378222049, 80428546, 1047623018, 432879976, 26216573, 42327638, 190000159, 84431130, 754343757, 898942669, 824348496, 890048648, 766112912, 226469245, 358226038, 831317098, 492173561, 1009287336, 23884276, 732291518, 488272218, 667167403, 732920241, 640099816, 476573555, 518447679, 243592884, 22790859, 885020137, 973141294, 524413117, 929582290, 716115900, 313603013, 527515228, 605048233, 973699362, 930449625, 485683935, 475694984, 152172492, 411518240, 388572191, 649091560, 904327718, 203531893, 156690543, 447792897, 312599556, 562888603, 915818144, 730130120, 935031802, 512164457, 15880053, 763164958, 488345546, 975218037, 30553691, 713105935, 134600621, 933509832, 311625085, 196295867, 872538095, 698247528, 359062665, 230745067, 328098476, 1058103450, 298238057, 527993664, 791885028, 706694465, 968213509, 516517793, 529157063, 377492504, 791435593, 900831849, 10666076, 852431958, 586974771, 834999857, 653386674, 339917610, 1073158018, 717146731, 576236913, 349087154, 131439769, 995578482, 753230139, 848423246, 382784841, 266623739, 695755854, 844779866, 861425761, 4916812, 900024205, 173983617, 53349846, 453234023, 240859616, 374475319, 396674937, 72134420, 198622292, 710978700, 38346253, 131344100, 96999202, 868197037, 935649654, 823402188, 548727199, 408407101, 348234625, 1039195281, 523838191, 266553839, 368582655, 964941663, 198628991, 890617509, 40791063, 762467279, 911379939, 170619009, 256377753, 583494759, 895736239, 428230133, 95196841, 808528648, 702860114, 180108956, 151370237, 226508407, 438325119, 157435125, 324668808, 290655585, 538259096, 232054604, 728855908, 450111664, 91641271, 349021088, 545900209, 780786635, 486827960, 932403840, 783108898, 349215913, 1015206182, 1013180045, 897343079, 1071110936, 545985700, 1018958964, 144932747, 965158477, 118979656, 414908694, 935831323, 578232888, 142571639, 344541930, 240217730, 279636728, 727404166, 615106510, 270879442, 979794022, 254924480, 16896888, 691644441, 785957214, 659975645, 908081456, 1031614149, 588991356, 1067622197, 382265592, 253839985, 1042634839, 977104853, 996348199, 344976369, 274912275, 928842492, 770063607, 1014014936, 156589356, 240224508, 485872708, 315311485, 620877523, 661659533, 853753091, 767724542, 512127539, 150987602, 786915641, 594361554, 813568026, 1014723131, 246236955, 1029367792, 922614221, 861364054, 1040737865, 87615003, 953856609, 618284977, 422125248, 968824625, 217898939, 307696447, 588045525, 281054745, 220081013, 776884439, 137690713, 988325261, 274996609, 440075642, 1064278415, 365477468, 365129206, 990724973, 314973982, 746391271, 353889333, 541160391, 312946123, 747750952, 950979704, 3940393, 403376629, 51418060, 325393612, 637164900, 106679088, 548909998, 153297919, 556991826, 509361960, 347210788, 944370557, 469366579, 132998503, 564591050, 935099802, 1023236186, 367560681, 551443296, 996071309, 33626942, 913142334, 576338163, 918172718, 518702139, 640043587, 138511113, 627089290, 611565104, 316088785, 1057377670, 569635721, 292157587, 52523163, 343854854, 790354133, 536432784, 608257432, 170282508, 849971600, 914876920, 759247209, 956716446, 714798928, 671931358, 240818488, 655038666, 877760569, 52362287, 373268473, 328650694, 560614496, 727508484, 32894323, 160340928, 47360011, 154344048, 628579067, 1068637641, 1026366926, 308043011, 813593008, 122141014, 510213987, 406000442, 11856078, 636087430, 48700786, 94521890, 121999834, 1037243432, 413406241, 824778359, 943463460, 629783008, 108909468, 799082940, 529815557, 689021508, 456283738, 267975962, 778334145, 733695040, 330995502, 865964030, 151016547, 258578766, 357969312, 332436897, 285464399, 914443626, 799301446, 575635696, 656851890, 157622615, 838480659, 226211234, 787285586, 378757455, 1070920920, 465998316, 241745887, 492796510, 758127746, 317748236, 714887879, 275784427, 1049018587, 1040502372, 619278456, 234019179, 763555689, 653903605, 395575488, 358203909, 461354590, 993301836, 138645555, 925950436, 339672056, 202808918, 562704427, 744999822, 66281557, 631792959, 1708548, 510110396, 538168567, 264724564, 806454851, 917490296, 41740956, 46592398, 145992452, 335141339, 1016405615, 158120694, 465571552, 257491105, 914333966, 925297969, 766228007, 119424966, 352089662, 712128532, 530279554, 106390174, 684985826, 484151781, 966595907, 1027948603, 727519772, 423792116, 438607128, 166411125, 1011888518, 982196067, 57216546, 47305327, 255212100, 718430194, 713523813, 661058649, 839593213, 291460265, 381396781, 1018332974, 374275219, 104200417, 652720287, 781353897, 697542191, 937796620, 1033681142, 312534875, 982110485, 33664562, 1043503858, 158818425, 114502051, 958815516, 368044841, 229474126, 306843136, 621542346, 507215137, 953919741, 450715172, 15818733, 476806292, 687093697, 860751816, 47392860, 967177045, 709177164, 931702738, 525842313, 588529301, 765334499, 47480733, 660685120, 769520507, 824813200, 981603770, 717696852, 918328260, 320980443, 777753864, 107254505, 595673097, 986288373, 716966671, 109965311, 735018882, 200440666, 136513781, 725846393, 938174382, 118901464, 316715647, 953460590, 106006518, 583562416, 239725281, 360716421, 770325760, 951003646, 297150374, 408511398, 123700575, 736904568, 916171016, 1048310019, 526777696, 844323713, 573549166, 513395882, 100308162, 81524747, 56039792, 1010326990, 840309622, 744186173, 285286691, 712810085, 816341685, 924808663, 24740861, 787915820, 96882312, 665941026, 944101716, 745001957, 786739171, 842706139, 583756672, 473923455, 789066470, 43744934, 310039109, 271493639, 363421038, 510167552, 853431228, 926986079, 886930639, 941510192, 168565308, 229410787, 330796115, 173746180, 180423786, 554263365, 129485896, 150062249, 871638974, 683642213, 916208592, 260600388, 1049333751, 526706887, 149956037, 710080069, 496214691, 764961205, 468742953, 691426094, 1008982635, 265430953, 842081747, 4642931, 796167522, 93468008, 386132250, 748972302, 59844627, 1023886191, 849897301, 582728184, 369384752, 947703424, 557477805, 187851, 910384623, 1055560354, 403784018, 1073648930, 648324730, 958981831, 312028194, 490720630, 837286252, 389305756, 809590545, 944723497, 1067123925, 131356998, 197555472, 1011066544, 543311992, 161992592, 1050600604, 341218431, 415669588, 400681217, 341731277, 42000963, 41646041, 257654493, 92164392, 618907656, 906691219, 166037750, 11975739, 356446317, 694586459, 631406450, 58427755, 944198511, 33944871, 383926559, 954459216, 291227570, 340413587, 526365254, 94057505, 586538768, 518482741, 44485524, 202770809, 344206789, 72635172, 1014345120, 452329623, 890647748, 135253689, 186152684, 85843848, 324470367, 496962119, 803301350, 329363200, 835617423, 84066643, 1012859572, 525292748, 626318757, 763134082, 654617885, 1043643453, 160438726, 163006854, 207742322, 99475621, 942905949, 91758674, 650508806, 429395755, 310594482, 687728894, 776137205, 194833410, 80804174, 183534856, 438778781, 494813721, 513222140, 92484109, 1056019091, 204143149, 594919285, 504555755, 1050138066, 708076757, 975163615, 867045069, 258768499, 383512469, 136636270, 367043486, 876181428, 505821582, 994224084, 796646973, 898945811, 606427248, 335292439, 350719486, 177151812, 640132714, 510979201, 640837453, 1049991096, 373787840, 944425984, 537025345, 421456661, 408017289, 869795166, 853138812, 893262734, 538688666, 1054661601, 779640145, 787525075, 58874929, 789456207, 590591157, 1004074196, 968455733, 967259295, 378007647, 19921748, 470594450, 722755766, 284236616, 114442911, 563370257, 884269939, 735605470, 187568737, 118284410, 1012259474, 141609952, 14419394, 52242287, 52560287, 1000180771, 497782444, 582668146, 240271641, 47968525, 82571424, 984993575, 147688241, 211680764, 392437843, 156294739, 131121094, 464946449, 503984871, 662602037, 378678073, 656988130, 913118093, 376367234, 563532834, 691514677, 539047666, 51562513, 507470120, 480682100, 614033094, 286695671, 102512859, 229425074, 796802912, 850720149, 994517758, 160548745, 404041046, 606820170, 432377441, 147422512, 703202069, 1042557347, 228132116, 627999400, 868154008, 199981010, 81782200, 164152958, 933175114, 441109738, 1018816976, 340735501, 665772132, 235276181, 432504972, 756950921, 337492137, 561130358, 235226791, 284139187, 1003814282, 343549596, 1028961, 850340530, 438129934, 550581085, 467599052, 553361904, 25502312, 447393107, 218262086, 142455895, 1063078886, 680406488, 120427064, 696058075, 455132436, 581567880, 186743780, 248340940, 263284616, 472878447, 914569391, 45103944, 473717479, 681332510, 516616264, 1020040024, 506923703, 438104784, 392573901, 845856627, 1024704661, 346023130, 1069093756, 180508484, 889246823, 596675882, 891550404, 885940396, 422831085, 277907708, 899067806, 137958589, 289520166, 581103333, 858007494, 789698539, 241837500, 4292917, 16540845, 704800527, 750228337, 732798544, 1041241037, 998180892, 946293568, 662500930, 951796433, 100190711, 940852281, 137358040, 163565366, 746044441, 433535734, 950277909, 883389052, 209703865, 1011130871, 600357736, 920167379, 746294884, 286630017, 859815572, 168674396, 886694574, 215823029, 418049854, 339371388, 863540126, 663274607, 700054376, 267839182, 81691424, 496253009, 652907531, 495751444, 73014799, 331134975, 760383293, 820404740, 111488994, 877879562, 325878503, 277778885, 570465359, 301510259, 591781195, 877415791, 559288618, 50228326, 1049253174, 457188834, 731608314, 167396426, 637508892, 704880561, 23500186, 678105375, 631856048, 725538863, 961180886, 500272317, 542905547, 461764394, 84945725, 501018344, 1052752471, 999932508, 954505610, 440330728, 920151320, 255051051, 448168786, 652867274, 944814730, 879312425, 467447547, 357040313, 994225100, 482751246, 654802217, 683774958, 831635258, 574696819, 138327191, 683575349, 619253790, 608613774, 948047922, 801986807, 533676034, 340794067, 625649206, 1032993698, 59277188, 610418095, 604563093, 19597889, 314542850, 383061132, 558340183, 226273427, 361448362, 524211108, 468922908, 159435084, 536608097, 64332175, 421941664, 214256614, 69771018, 133520060, 894322197, 348780689, 24995232, 88617269, 274652328, 368277549, 620113913, 557958715, 231200888, 123270944, 817112223, 655171881, 929727200, 170144189, 957764777, 770708786, 129059717, 725879523, 705719806, 668068027, 497689115, 448967279, 450323348, 281379642, 639043169, 382936632, 97934198, 660588872, 323832724, 522982641, 314634801, 362506472, 549896694, 615816216, 910878290, 298942576, 467829904, 479319095, 17037989, 832697562, 46281498, 417824294, 219534314, 601313376, 778516068, 609951097, 182519022, 605853144, 494307344, 260291556, 304460796, 259507183, 787040117, 981037952, 193180962, 792088160, 867189708, 903006910, 839372666, 168168352, 729698921, 851117550, 567713788, 126323935, 628297251, 198904082, 756785917, 422796545, 595429259, 326414553, 731342967, 756678003, 291453422, 836572650, 926159558, 368679141, 80098238, 815150846, 658603606, 59863798, 568164692, 15248973, 468631551, 933171807, 840040093, 665139129, 795520287, 1005433471, 46735201, 640875987, 52923653, 719295225, 885954376, 81948713, 458198303, 757201453, 388134224, 261389398, 509728402, 155764799, 479163569, 711157310, 722712288, 534588627, 1073632373, 70783200, 513813185, 240725064, 258569662, 465991423, 234499934, 959286480, 73287248, 424056223, 960957089, 792514601, 1035276529, 185328057, 135882345, 347905422, 88167332, 324095869, 635400542, 327856467, 95866987, 597212760, 167011904, 754114012, 565972564, 648216214, 884062346, 872604668, 471344605, 684329885, 381656475, 671081585, 609339941, 912152293, 893402141, 569581074, 316135575, 584528866, 102595182, 786053273, 784745766, 486714842, 202038665, 347274415, 62225506, 97497045, 762922230, 726715372, 869396209, 857653633, 495623204, 888360828, 756193218, 959687792, 40804970, 362539740, 57050386, 413085858, 146331154, 247713988, 673908260, 285709970, 1005690246, 12537463, 706997243, 394427452, 110701288, 378825519, 247466785, 872262083, 1028580105, 1025597426, 929339678, 148266568, 521150476, 962227794, 610270756, 192663553, 739788577, 576173827, 304969979, 455619726, 245954694, 845470152, 1065913209, 642347328, 886979043, 873426066, 30686769, 529173670, 1068040097, 253031276, 160973323, 839727533, 308264741, 571026021, 488780201, 311157125, 440353565, 363621303, 597904138, 414488764, 394071709, 336989326, 190868568, 479622278, 677344798, 114200905, 302524627, 1023041209, 166505735, 201567954, 1023555761, 883503545, 975614320, 11383623, 2373844, 938241575, 204986612, 374797399, 276463518, 441798092, 983181941, 505813066, 837788451, 71766347, 55990612, 331508151, 568269286, 819008578, 886544091, 536183120, 529555134, 366992314, 1042071697, 639245529, 122932551, 909290497, 664793816, 158455953, 779135613, 279737350, 908467763, 220186619, 852767246, 351526166, 364240341, 824141692, 284068951, 84937001, 771807861, 904557828, 369924393, 115663118, 304246884, 306613378, 248789730, 150876360, 871052775, 333835595, 921478112, 448160933, 978602937, 713221900, 818700307, 119622456, 704121174, 165533821, 547152727, 751505881, 426898220, 984259537, 165174093, 123034331, 928910072, 400004881, 782748772, 110914190, 229603932, 542963612, 828837931, 958538889, 893962902, 914331009, 138657084, 335499920, 478963343, 457992598, 723103088, 536238757, 904811302, 973564545, 251318762, 213180830, 900499172, 260117402, 573797797, 463740390, 695878031, 882477612, 277435779, 529931378, 937832454, 755823078, 988870895, 584413054, 278365124, 1048378892, 12346954, 765763138, 585231644, 469605351, 836737925, 226655419, 106219242, 337029719, 549977462, 259575757, 866094730, 330667347, 991918642, 653416527, 708152429, 810527221, 720986911, 869388832, 598305421, 277177151, 872858504, 823719185, 87241496, 763037632, 454395808, 754204580, 296575897, 379125572, 162900590, 398974913, 301106582, 431256500, 220675930, 262407192, 95331874, 963096892, 414860652, 657698264, 477730035, 23240557, 975935762, 408951609, 321325330, 650504487, 345332320, 503876046, 569904817, 757038460, 135053880, 146211993, 933859654, 142620168, 933390724, 667237364, 795065165, 176070085, 330963531, 377680919, 379297354, 348056740, 514865156, 508056594, 305929038, 1015099284, 425292095, 840676423, 687245272, 609330628, 875049771, 533249219, 161540034, 90396658, 710968278, 169671601, 187556533, 517072422, 564435400, 659156561, 1028696457, 979862158, 4188659, 615836780, 542144736, 165567345, 456658617, 223645660, 1006429587, 935185504, 1008694672, 201974886, 813366709, 654829043, 786738941, 505060645, 1014853200, 808156863, 416603848, 969095740, 296844590, 454974109, 774265072, 885987002, 990543771, 743716767, 982815443, 747195625, 743149899, 219688971, 493065984, 756197917, 979157358, 917425623, 754192406, 499127684, 952318344, 710380583, 364003925, 167107362, 882990636, 69609281, 478023191, 1046407159, 78786447, 29977240, 796445309, 932509141, 946932334, 280307228, 192803480, 758055840, 385674253, 818620132, 63169918, 136388331, 550839832, 715716954, 1072854565, 812866993, 626982090, 974162699, 650130438, 460876330, 679740018, 491570909, 66070694, 373338330, 237184811, 374645340, 517449552, 490391240, 968629198, 534402926, 660546426, 901117437, 739140521, 828022207, 846666288, 418897532, 953159228, 226017874, 614117175, 390898216, 390848654, 651925316, 318020123, 1017913900, 73926101, 426705609, 419791787, 644603817, 699244895, 848668647, 587685765, 348380738, 428953278, 632967897, 345989791, 218841184, 302428949, 453166582, 710754419, 107426265, 240418859, 403052209, 21592385, 731348477, 632394005, 312098120, 53550633, 437465430, 98454765, 216920441, 627020190, 877091946, 418728512, 262525361, 138193667, 997751184, 34170460, 500709630, 597331696, 1027485168, 533232963, 464325028, 562840746, 1064792886, 362262520, 576825435, 761459547, 731506913, 404311124, 79985435, 950131292, 843966184, 1047965669, 589141730, 406051988, 687979570, 818019571, 130899907, 807480677, 709080976, 201051539, 197753820, 676810805, 402938082, 752237542, 512870019, 992039956, 278045616, 371201225, 719902980, 726608114, 630429613, 26179887, 789670179, 828547865, 295389648, 961443423, 70887597, 667078546, 499435081, 978784941, 346509149, 861247981, 975631529, 279245926, 72401490, 516348599, 423120190, 862313773, 271671219, 878689331, 911145502, 740562121, 831084562, 1003805400, 594736899, 198027089, 616590854, 945164779, 423493552, 353916029, 237629869, 980670762, 1033869467, 63355484, 614113922, 588364784, 266762139, 647736341, 785712150, 32833825, 910301558, 693857287, 947880498, 96550284, 188258789, 163685472, 861218174, 897477806, 474445336, 323958938, 334783379, 659727699, 955926359, 714321935, 923877529, 549138671, 404472278, 337146088, 57226519, 169487249, 244103044, 353871270, 372981034, 669230314, 783702421, 876890459, 385218521, 974349827, 978464478, 961121652, 283606105, 755749069, 1034034694, 614820890, 608727330, 1038494104, 366132558, 514114511, 923035120, 308523007, 602094291, 902161782, 359208209, 93296349, 459143677, 517628630, 740556711, 641136301, 857246077, 16617698, 776626100, 1011847640, 252856867, 465284586, 66021504, 200872795, 84235982, 833359817, 959967908, 888452801, 583793808, 1060011768, 708244137, 390702479, 957480783, 604559875, 633932765, 910718515, 9353084, 261369373, 499240979, 282839744, 1052563178, 797084741, 277931634, 416817427, 423110995, 720004157, 637343678, 997652151, 774293784, 227907759, 972683877, 294159858, 1013750924, 663396625, 1003395122, 90845467, 576588478, 699063244, 772103861, 1034790101, 124071973, 553726197, 186848464, 726909970, 849474941, 837947903, 494061478, 430411553, 488371156, 345112480, 181659795, 353462419, 66677403, 457207470, 68068501, 727322487, 575176583, 639140112, 316854702, 291012586, 491420804, 701300621, 965032448, 327041863, 1023253643, 101673824, 364275364, 71978628, 194316838, 96572849, 589992272, 932126006, 445544678, 211575555, 10106608, 472790932, 284747490, 456213086, 823507574, 1029381338, 981933665, 264205097, 353139397, 72592628, 447096154, 249876890, 150153758, 29482820, 613561266, 392693906, 1053438524, 510984685, 285492146, 428015322, 752132535, 105306770, 635727822, 781663670, 617654259, 32874131, 74832192, 473899632, 406154345, 134887992, 732982655, 951496453, 322267924, 538417202, 434445453, 1009451348, 926891852, 428903190, 944140866, 35231179, 1046544714, 41419456, 957999125, 662367064, 168492277, 93004785, 169521025, 31703024, 444002372, 213457963, 377434223, 933919231, 599088350, 997880852, 173961334, 182130300, 431418233, 1003082356, 927354739, 526057430, 796667815, 162814953, 102766662, 623078801, 700678715, 846352126, 974077307, 102485337, 792924518, 984515558, 291939893, 480252733, 415551371, 151732099, 504413771, 95489595, 100067352, 432196215, 45970803, 572109573, 715873257, 528088197, 956298524, 583512512, 904587533, 121313019, 949219222, 894371036, 955219659, 21384882, 392970918, 408168587, 1056019342, 630530791, 700857951, 23602173, 475167884, 720421774, 578604401, 99607155, 473066996, 751637982, 431331057, 15039244, 38764978, 930728964, 767101314, 791119067, 906961394, 68433910, 585394439, 1042486630, 385815176, 971280757, 965572480, 871847196, 445606146, 40501034, 706490388, 544144694, 334515511, 771520749, 942304469, 543502881, 1001461346, 776007889, 166275519, 989299973, 948440199, 649766879, 437947349, 207763047, 245705341, 504676529, 213538173, 211553918, 214394476, 203775853, 111073846, 1038092560, 724185380, 183214150, 93596334, 994553188, 948112815, 926568818, 686962689, 624399792, 858945883, 400628696, 312584453, 69647403, 483010590, 270580730, 419702761, 624439641, 209290159, 794368057, 550139081, 870993800, 952190164, 428292989, 204052024, 709465258, 453860042, 90298239, 368533645, 861173408, 242447372, 587921179, 745476189, 692092534, 559305295, 393570465, 977851805, 437610755, 908283977, 638196341, 1950910, 917333080, 64498834, 847065615, 675946155, 180707743, 863677827, 779441337, 74918908, 665407672, 236298049, 396448530, 317460880, 806688848, 408732971, 48990605, 46698321, 295258573, 440515180, 661055633, 115045527, 684085528, 257139036, 79551394, 997129157, 702585076, 286005575, 518451848, 734735693, 486084817, 879108615, 953676621, 650749336, 609950084, 1044793, 60102776, 709723665, 136035374, 95241758, 318054706, 685676127, 548737280, 9336457, 121779165, 913173701, 204410651, 1033111410, 987890570, 571242718, 292917275, 1023000330, 678037873, 47934400, 65331742, 100831089, 622293274, 611016728, 113457861, 725030, 445845618, 594518284, 627890145, 950581865, 304387027, 872450468, 472061606, 1045881861, 120348042, 397836878, 176247511, 825717374, 828604328, 431249770, 984159227, 648183221, 538111241, 903108008, 924302777, 147889569, 376598945, 332996805, 106708469, 733006889, 261511552, 307099340, 552236601, 254276683, 319657530, 345176396, 1030237170, 794125496, 1054905423, 358904594, 564787980, 1012389910, 801612206, 279604157, 506315320, 757381552, 560614814, 676463083, 741986488, 187737864, 238873897, 253417914, 70676147, 880278347, 898804877, 711779793, 512736631, 383151493, 927195725, 499503413, 807204574, 769082901, 485475940, 96171887, 51862521, 1019426509, 45668090, 53159120, 232429182, 568001807, 481275292, 579295859, 149141843, 663263258, 493745829, 470741576, 573415575, 735944943, 208128894, 624900688, 166440856, 376906152, 51780486, 404523625, 1025934463, 151007307, 310738599, 579665810, 442579791, 972667437, 171285058, 377391600, 154833605, 1019332114, 484060787, 713896099, 821887039, 105732793, 452952519, 838663578, 157952890, 690521034, 830843498, 832550703, 768342991, 811719412, 582988106, 689171670, 962473822, 975458242, 789433384, 649365641, 127932598, 862348773, 63670795, 1050188074, 510341358, 73810867, 267323236, 971076862, 858707792, 604513113, 208536398, 688724574, 31282812, 787439289, 836654985, 103363340, 670084010, 795251792, 672683842, 748494488, 585785576, 2817200, 73646641, 151318776, 131789939, 346137231, 1009327058, 704859884, 1061211629, 859751651, 629773035, 208035562, 518909374, 500441680, 563956470, 680562205, 779134811, 480717628, 34367398, 66099167, 713554778, 147011692, 559861816, 246589369, 426879819, 633254908, 764263121, 776966005, 904242402, 1058760421, 100331829, 1042066113, 547965207, 892740183, 749838544, 823668983, 156759932, 527375853, 924516547, 996469530, 1020640970, 520618105, 890008488, 659911156, 485294268, 1072599457, 787104504, 98179588, 542503626, 73505795, 722453091, 700338038, 284027465, 365552864, 92686670, 405604571, 36072194, 120255118, 444723024, 352343385, 157157588, 118874840, 952106370, 246654402, 408211308, 292728123, 357266852, 406818165, 35393792, 913944600, 414838327, 631880131, 670112273, 207273069, 384529016, 749814066, 748958455, 15957058, 826866606, 69954654, 666310201, 105024446, 105970597, 1030797755, 156821364, 875080844, 968042960, 897363393, 194220950, 737121726, 524679367, 276856513, 61286443, 164096122, 222660322, 108392680, 551447396, 935554907, 692938716, 537409228, 739299761, 335658094, 34615536, 141403812, 205382145, 1004647154, 1071172393, 445340630, 511778599, 830745128, 272091326, 188578921, 217712445, 84482952, 1022183193, 250040984, 308478683, 547432714, 622937053, 709275247, 32554751, 251387859, 504767886, 113789299, 118713038, 1006299868, 442121698, 445329001, 742329895, 759571859, 673117078, 265209341, 696745232, 473732365, 927845755, 221522356, 824093634, 311590771, 1024146487, 896887763, 350507239, 614143475, 894633414, 224931393, 331511953, 723693255, 34702342, 714537625, 585982944, 292011782, 542494723, 765400644, 130166991, 877549979, 848051961, 719930802, 694316842, 880586172, 563967729, 967259899, 1040995609, 771272620, 834440529, 657545107, 974568115, 417661836, 601659924, 489550677, 629472194, 739315730, 417745658, 634504334, 283492403, 676928918, 817404663, 210508955, 229911970, 211596375, 657385206, 289704790, 307979893, 266064054, 285193912, 365457371, 672700344, 874906374, 604097933, 389257530, 1067216995, 75188083, 327759838, 532433619, 625693403, 581657739, 273993166, 617751189, 36708307, 85307947, 867405573, 434712632, 792962879, 919250703, 696809197, 8713250, 970694759, 264571978, 662140201, 69762721, 275619205, 933068565, 146485348, 787234593, 192300021, 153202931, 251620087, 526825226, 359586383, 1043696968, 809204824, 167871320, 124819379, 298120948, 137261483, 541335849, 637282251, 631615223, 613765983, 358062721, 279889788, 232962270, 814945071, 878276555, 796727531, 43048313, 905564237, 1046811442, 716427113, 903267585, 227442522, 401866452, 872252146, 931210726, 954782274, 366227524, 355082039, 332799674, 291641314, 22223083, 995810588, 591645801, 774980456, 378481567, 903293782, 493818307, 823979610, 64600472, 405163680, 112077700, 95557050, 1071510972, 214722919, 320250120, 52444010, 565642533, 651195913, 828309797, 7183624, 448210456, 189131001, 173762672, 1020161640, 970047896, 225958111, 1036112055, 957228628, 587664103, 695607197, 377790134, 161869187, 79337993, 437446893, 62682179, 201959257, 883758906, 66654914, 1070286054, 404471220, 290551810, 1752320, 814902506, 708208313, 590736121, 660301002, 232981978, 332582820, 822960447, 141148603, 874599817, 644942298, 115321475, 677735899, 574421655, 116337118, 82923224, 722100476, 61447776, 123075275, 498778959, 842730030, 556565039, 506835091, 44885332, 594946503, 1064761297, 549460002, 547224947, 407841680, 736239162, 595836369, 33501486, 293358618, 277292358, 850162014, 959250346, 307262098, 957549310, 660497130, 613270211, 892194383, 564432951, 615950620, 393738789, 866283291, 717295766, 987199665, 488984382, 40520539, 78407314, 289466201, 1008848943, 427868919, 816838854, 764141039, 735718091, 814637413, 212560182, 869454199, 748228443, 249120568, 363504426, 326079796, 549143657, 682138360, 764761704, 930946019, 988209029, 520593579, 661765064, 439514453, 881218726, 775775433, 355021996, 337696977, 979806990, 913622126, 874613674, 617799042, 715833121, 1036109043, 378612682, 117935226, 375332160, 48668189, 74538631, 988365487, 299264879, 615191888, 301636505, 644077759, 764219130, 781247397, 927922317, 85914722, 193428669, 371736780, 632411206, 562233534, 72934002, 714910734, 838201529, 54327616, 350170224, 79519444, 487266547, 554711393, 669573928, 115882405, 826962676, 913500657, 794648838, 338608102, 427660403, 70824074, 127678529, 667065171, 628630793, 820778814, 177031090, 1057477236, 795150320, 928171034, 934787047, 756793105, 439181282, 1054550552, 640315432, 739348574, 297145336, 935386753, 518707815, 13632759, 329161449, 846896174, 691963182, 907060956, 515793863, 543132424, 937992536, 1059507224, 200938078, 792850101, 580215861, 66919626, 478971186, 137300048, 916304152, 462854234, 414278125, 602981184, 607390381, 574747616, 850597771, 122213518, 99827915, 387489548, 806078469, 524006267, 818527462, 609407612, 270385988, 39618914, 548642109, 173057170, 348314756, 18044574, 190759280, 685989346, 603618515, 87864703, 289471164, 510017852, 859680220, 952470787, 473683945, 620628453, 348218121, 435434029, 420025616, 468548738, 74488489, 971065680, 768061082, 240769727, 204292603, 890384131, 952872708, 587937926, 1039415922, 992137551, 164499323, 853664621, 206098229, 861132481, 232259150, 875518105, 751283375, 1006227940, 848931173, 780708545, 434703486, 294842965, 673425006, 134268829, 672544111, 626782932, 757477438, 421378268, 415914897, 1058802807, 349154989, 749780321, 238630238, 710870030, 1037716814, 160311516, 1020580642, 125495365, 380862433, 819527516, 193297997, 942785453, 21590494, 615116927, 330505318, 622056630, 639816753, 19865789, 153927681, 565009072, 424824833, 393018175, 297977530, 413282903, 469230009, 366099896, 291205738, 630710096, 413959017, 1003904077, 372229192, 833644530, 475732770, 803152145, 43387333, 194865628, 982447574, 1052286049, 1004941062, 47636656, 825764753, 899323819, 559982264, 971837728, 614487804, 205956448, 463056031, 622424289, 555909307, 276125426, 380646680, 83636550, 534089513, 509630775, 678281118, 833866943, 74557869, 688686058, 545533919, 491239475, 156996137, 371855591, 596861397, 947929681, 1063641923, 481061879, 128316932, 609111587, 317738084, 585774863, 612491330, 670858582, 316290197, 472608716, 509373918, 945869631, 1063939431, 886798764, 295428293, 752354570, 804359525, 726389707, 949772563, 24491339, 847229217, 648898083, 400081898, 36868733, 592313368, 590673358, 269383013, 103605609, 588004988, 16671715, 977173981, 733624579, 577655097, 623530551, 130567723, 303099206, 1026277362, 706372730, 706432202, 242256021, 249786254, 712940216, 219406573, 82286546, 809611108, 9788794, 642039190, 553134911, 21251908, 239096040, 395174964, 29767071, 60881241, 294311308, 189626516, 21917281, 72141668, 188051525, 223202279, 27052254, 629389340, 1036139540, 583141390, 897295831, 815157352, 161959884, 176706708, 750841506, 768781267, 738399565, 165775671, 76132116, 864326736, 784711307, 640157686, 903574354, 415632240, 281952963, 606630659, 41608343, 50196829, 215423366, 793455353, 702100695, 346231397, 727059843, 872066165, 293128233, 10807515, 1058339240, 432472639, 1071812207, 72062396, 194545865, 546368143, 835135404, 234164632, 894189488, 179810151, 504108172, 386162965, 87652233, 376594786, 712599586, 858721232, 746074869, 909112599, 451085052, 677695053, 712588414, 820818459, 520512285, 784308534, 741476937, 585523338, 977817490, 1019044577, 67081153, 623135067, 773910006, 502799558, 615962422, 844982785, 217126853, 155334817, 200012006, 899199840, 720425983, 402584401, 859904855, 128113886, 1049323688, 853291985, 755727715, 289137012, 711814838, 1031531730, 115562350, 54577603, 614739724, 223243748, 182326383, 950380553, 734683653, 796115879, 837995073, 177958879, 137355536, 742308688, 138466961, 887844093, 564270752, 1008979411, 232969796, 725829560, 382692681, 270318214, 109059914, 362298689, 410526353, 433584170, 47139650, 36028120, 970942002, 599879099, 380326074, 755966234, 94327813, 812688948, 78438768, 618648939, 528989027, 982137927, 459361907, 938391530, 62917050, 104153593, 346063936, 282866887, 146530362, 624642848, 217356034, 1009071653, 686904503, 273057250, 966620734, 682683413, 861877137, 925499239, 252478797, 866540116, 958038983, 815842723, 862762539, 903838505, 887509829, 936995772, 651950577, 152658319, 354302865, 264221398, 342907609, 576657120, 354959794, 669419187, 901681706, 775248214, 1040362267, 171708353, 577338706, 6028557, 265954007, 635647233, 500104739, 120743208, 839674171, 294796014, 50113176, 919804103, 664933747, 861974, 801030722, 252880982, 1058679708, 750759784, 458255407, 87369583, 1058268032, 299410280, 414882665, 569305536, 15183641, 801598332, 661835157, 84186392, 251919458, 1038530275, 375145290, 344540091, 848037389, 761655506, 951330957, 682997414, 641815395, 242343565, 270980764, 363678899, 1072614808, 559318210, 438673287, 1052423413, 924062513, 697161086, 891021710, 214158200, 799142836, 893568537, 503014380, 135035777, 878986089, 366922841, 949002608, 721491449, 912086178, 691806589, 582193027, 4267419, 631920451, 582751925, 498573093, 192214135, 837525653, 35623005, 28646414, 1066679513, 565308695, 83838486, 383825574, 417288472, 429167786, 1012178044, 952800150, 8534347, 861719345, 1013253255, 239745750, 148105119, 532213707, 520967419, 416907266, 1052152914, 740162791, 894377065, 1008754460, 692218120, 1067025029, 419034572, 895169854, 20538072, 431866382, 972105859, 372766556, 200687343, 716504218, 107078194, 507004689, 700395496, 547027240, 170163671, 489327124, 986103986, 893968949, 181614149, 100035986, 358129334, 926365518, 346139097, 327124566, 1050989290, 199875803, 979970963, 764440406, 332559229, 483140263, 953754589, 378484389, 284910156, 337029122, 642002073, 514958470, 1004769273, 169237198, 580319982, 437161427, 1033726391, 114555711, 770413278, 279521361, 145076702, 831070071, 704210462, 983624804, 186402720, 619247687, 891517869, 112962412, 761392269, 391154925, 58439746, 290729646, 908325734, 210003702, 1056552649, 574453124, 308368158, 510735221, 353680626, 1046202872, 1016554912, 304841354, 315215152, 660776031, 722386263, 54945296, 364532953, 15034311, 587471318, 626561486, 101222011, 1013568526, 233530195, 802514418, 890947211, 61275014, 317806023, 1071719506, 732770547, 342315105, 1031374001, 519789878, 799819723, 853338610, 267762672, 1065677948, 950480677, 861744434, 153293198, 770641819, 20281164, 847544625, 387606626, 203183264, 1034178541, 984226366, 442700567, 121622462, 215372328, 947187961, 178686637, 904071160, 449622778, 743231658, 57746791, 634222767, 241571493, 585158951, 39328253, 59143068, 544863346, 111859850, 374625969, 781281875, 519246454, 1002717992, 515617298, 798546220, 923825099, 627302255, 451560483, 26881578, 763844165, 109949142, 438990237, 9101536, 808211735, 199786433, 514424881, 69613394, 938561830, 822153975, 500160110, 354906023, 913173638, 111238786, 718501716, 305109915, 923011070, 542207821, 809420582, 628783533, 332524444, 378393617, 250659188, 811776872, 792782647, 756940255, 1018681859, 522449242, 131149732, 474346579, 715301223, 584422940, 714266212, 649454322, 274223672, 187752005, 362286372, 668050725, 952569671, 792328952, 665487606, 464950976, 482813879, 438561127, 15177968, 98659748, 206599231, 469721852, 754781828, 117513251, 171866704, 937343726, 326074410, 845155945, 368137461, 313019355, 789565869, 462629144, 595752480, 161290264, 140514781, 93527702, 835905619, 219538844, 534571643, 829353269, 408706641, 931342493, 486709848, 357893908, 147872652, 895395307, 784206904, 285787494, 1071968634, 33741935, 1069757621, 138719033, 1066862837, 884402858, 182533461, 262972372, 995259958, 627220019, 909343630, 681652847, 1028565290, 977160815, 250556548, 292698270, 890541147, 220796901, 949536916, 111304078, 489366518, 51676202, 304983379, 11381323, 386048250, 376772097, 865498823, 751367216, 767764551, 32047133, 692269060, 571436917, 555005685, 777217666, 831427252, 755574770, 595421666, 774004502, 253347671, 192505884, 814936862, 63056879, 640768881, 746540497, 156801659, 920168227, 721047183, 482820854, 994839219, 522008335, 452834262, 67603079, 977588278, 65056553, 145846682, 623222377, 666441404, 102242579, 753237935, 192295871, 289857039, 62007134, 391444318, 598307400, 183864677, 582897847, 280668186, 510196414, 682435294, 313392376, 949714307, 803811428, 330672461, 700649270, 300392010, 512037130, 262341442, 172305199, 406565153, 1034090189, 400798009, 49333457, 80713293, 595641710, 704511918, 1047679256, 174627448, 502730942, 245515369, 21219186, 736929141, 796534472, 437003231, 337981908, 476197799, 938623355, 804419398, 602027144, 237000869, 944640005, 916947710, 868368449, 14494019, 457894827, 153234598, 677736762, 974989820, 294531672, 481903040, 9322032, 542480208, 288141580, 2680349, 277304939, 45485791, 643048723, 435637408, 445809393, 975822157, 599860477, 931571861, 436082538, 962729952, 443398181, 803213672, 177501900, 743409598, 807922610, 233877525, 766088516, 605884077, 591434780, 979940326, 392408896, 676876568, 1063505092, 823345740, 532637679, 823906621, 143243376, 659408327, 589543597, 661823028, 509186825, 918460433, 306995941, 833734834, 1045416497, 894484358, 992019353, 258928951, 464659134, 165508080, 918628752, 771688283, 315007033, 724338189, 659787546, 785470479, 815620571, 126642295, 217423609, 666874020, 139502936, 355929230, 1025774583, 761447877, 337685763, 828280945, 790591914, 524969227, 365771072, 879440648, 760417900, 209124575, 350224072, 265295377, 48476897, 411472934, 945990135, 917536234, 98624862, 389886181, 597486038, 551400885, 24281691, 423480122, 322568450, 968010285, 138565027, 716070930, 425518303, 459878967, 393139901, 11849631, 827695836, 386189839, 108761112, 137095511, 500829305, 547792434, 574400411, 545180956, 1064119661, 762052955, 1041092903, 808987463, 803302666, 477069323, 907528867, 708905484, 224665037, 569914822, 96567976, 36290929, 717378471, 258138280, 981865253, 739326272, 968057059, 661026114, 628194229, 229672846, 485057908, 826321532, 983414368, 12869333, 891409583, 372567556, 215925258, 627349014, 631689642, 614283713, 950784917, 613836872, 1053576741, 1066735531, 43219048, 272437585, 456304422, 297361851, 1049404510, 693714248, 756649969, 714709530, 599917200, 888433398, 312855909, 194550556, 947643584, 725445762, 76429984, 343618183, 147673588, 447756217, 442585416, 467544106, 770884919, 427897662, 1005334415, 318582670, 540025381, 639723946, 838840174, 872626942, 762454265, 1024936188, 454023293, 956342893, 609219225, 619826941, 175415287, 149052433, 554298336, 742755113, 959586820, 303663131, 894331119, 832510681, 313532678, 105965586, 1007195080, 793301353, 898030520, 134470589, 658654325, 653988777, 911375018, 1017594097, 214097673, 258078584, 272172366, 241138790, 4865665, 335373230, 596666139, 501178300, 115972881, 472369845, 769567409, 178823820, 1002043757, 863673082, 149651512, 348579389, 273878282, 190124137, 750885595, 438883157, 1058751171, 838833355, 389506984, 340642967, 580644534, 762700435, 736610306, 831289318, 381168056, 802422030, 750100406, 394503702, 656557450, 1047756836, 374576306, 221020899, 236872401, 388890397, 7208644, 771150753, 390004155, 229611172, 490800721, 118601013, 405012156, 220912428, 899447855, 684548907, 151799715, 866227261, 606956461, 406364980, 536614905, 143077465, 439547311, 7098045, 188728886, 383505866, 570005532, 251499624, 863324440, 654177905, 241316047, 1031914725, 518475211, 793399204, 836675465, 775672448, 1011167097, 830540326, 174356770, 94442493, 616864524, 406055253, 149985959, 317618445, 423049033, 920123070, 379586502, 560769839, 347272249, 611827182, 466663305, 614440501, 79564008, 218653255, 775105997, 283004810, 631735992, 429518400, 1062114271, 387230242, 300935065, 1006235383, 709876889, 547650152, 1013941307, 743916229, 967581723, 181325076, 1069932688, 979057279, 821291506, 226566407, 945961976, 645581037, 711333263, 791509480, 97667990, 412897178, 784969593, 570590017, 700370001, 264086990, 421068382, 425790393, 508459574, 473045683, 786108190, 143070159, 193351796, 835390049, 911213840, 630666016, 730974375, 755533141, 569187715, 535471025, 624640324, 455160072, 264760449, 581510014, 167997638, 315689541, 175987162, 1023448826, 969038532, 101257976, 688579150, 295445219, 439564751, 873356797, 752341949, 30120587, 150126778, 307031218, 563491653, 1058015847, 671120462, 98165953, 877493834, 63360063, 604713914, 141638659, 1061717569, 343898985, 772503801, 643512902, 854960602, 792501237, 436942013, 626339315, 312629857, 623054697, 1048147487, 175048512, 907455932, 875935370, 560316164, 353551364, 1009142830, 713877561, 995627462, 681463331, 420557511, 90418700, 188544018, 797087901, 382725523, 1064089929, 154493784, 501013273, 270191204, 502847028, 811601082, 27015549, 164061227, 81441560, 381438657, 154469416, 201201471, 1009672933, 267825682, 453992359, 104460663, 121550519, 266479470, 678235727, 252290598, 451951558, 51353724, 875934348, 16192831, 820026191, 75386337, 903555132, 744772996, 450818335, 566137350, 154116720, 929911193, 435176155, 234556326, 849866512, 24596409, 518107321, 129257010, 202719403, 392362654, 215409314, 331363508, 423930994, 909930599, 1031628746, 84444003, 962833652, 1009785570, 1071091321, 323615643, 709669541, 140865199, 672426051, 1068944982, 536149864, 794546514, 9068485, 133045259, 320678253, 990592983, 840476375, 443270779, 178624735, 665635386, 906779606, 799749986, 104521295, 798079099, 54267728, 1064275057, 420472054, 610634710, 444435463, 292734763, 1020741321, 447024108, 329871571, 228014916, 25941941, 672250180, 87154919, 288798550, 291609573, 400513248, 917847999, 483500821, 740085372, 985406188, 652151441, 885503519, 956525679, 359905489, 717234928, 294340666, 35191694, 536878510, 1022176505, 870326870, 118980140, 783468434, 480992956, 163963680, 776301781, 558632075, 799597530, 680143734, 602088284, 1069423072, 960905948, 692052584, 1017310723, 641162025, 536029572, 796187915, 264626921, 270702637, 820028899, 1007378863, 669949431, 322547178, 894259390, 635378479, 252757888, 827600636, 134264160, 400831709, 274718260, 305696139, 480406506, 1061778974, 934127492, 514745565, 958642480, 197215645, 65498174, 712436055, 719805933, 69099684, 901227315, 1546823, 270886449, 265516683, 163812134, 848713597, 638009150, 268915848, 859853444, 475438425, 349212021, 226174486, 392123042, 603012139, 619837424, 774591798, 949013436, 16818992, 669821943, 592890144, 265322982, 417077376, 1023857951, 17575142, 118048271, 533011952, 565735832, 492225036, 173544316, 724211706, 486985137, 293742512, 316559266, 425007132, 752337416, 405541438, 897602021, 617746189, 930288513, 429780652, 991117680, 42189826, 482028440, 1024634796, 875218508, 617204009, 473169640, 889823336, 680274752, 841147564, 507801999, 384408944, 77645177, 518101082, 20199211, 1028720267, 495008591, 667440813, 20990228, 926793862, 94327508, 105042174, 41105931, 347089380, 584825900, 281989202, 924349939, 151290223, 456580094, 932198023, 58316200, 361965207, 657370200, 124012582, 1044379182, 969950079, 533164694, 1001409107, 878249543, 478396356, 966462844, 763697893, 782317016, 750666492, 581975915, 38655122, 774758148, 539757380, 151928972, 479156436, 743878028, 268296554, 512687523, 20870823, 421809956, 888652673, 771137774, 291597157, 666241717, 69717409, 452711115, 558642305, 355577113, 67940262, 848001704, 696069578, 154429501, 491845536, 971226699, 200323745, 563927743, 792362453, 577666607, 91787152, 814818975, 931406204, 97112416, 689233421, 507558279, 229795468, 428340994, 10380799, 668011443, 1000496220, 697109619, 556533640, 100221097, 1063006977, 19137310, 492926411, 586340064, 740946843, 483601537, 18183163, 575630808, 106534790, 186699159, 563669376, 784531233, 954190445, 1047581034, 72621519, 180456955, 217684507, 595575839, 714193705, 359897924, 690049977, 868166717, 572024629, 363966057, 916292803, 374999705, 1391583, 244489547, 793993325, 782644279, 994945000, 126422210, 567665932, 782100563, 13258757, 58077764, 172438975, 1003576186, 960465396, 48235294, 113656481, 793686371, 72401912, 482572168, 583160940, 380553214, 15988822, 459575440, 550021340, 716356045, 239242412, 667846246, 138322820, 418031234, 400751745, 1042975145, 715344622, 488152725, 180665918, 349004842, 933836640, 611868420, 555811062, 980114552, 813681776, 992571519, 765979440, 815361436, 560493472, 39368400, 792442232, 16090073, 848412129, 200310864, 421449633, 444220635, 890901316, 1054886216, 989810128, 63897995, 460412590, 897087566, 434241553, 11573388, 1043104933, 397642426, 682990285, 841308766, 1069660634, 744287250, 895718550, 917605726, 212349619, 75923799, 626899538, 516489581, 637477004, 875508305, 290950660, 502417895, 588812038, 166418755, 120310336, 328957596, 437435379, 1018612048, 144803024, 1032164101, 325873668, 500188678, 127181225, 686274275, 865039149, 304102196, 891568529, 146959266, 762216094, 350944023, 622407891, 511520039, 467412742, 230278343, 403584715, 513975528, 1044667314, 287367603, 575071370, 77142613, 133498353, 229403215, 883374887, 231415530, 185310537, 645829897, 636994690, 990638463, 80451863, 240136548, 479341109, 965755328, 779093769, 806081038, 103424294, 169033171, 620434720, 11490890, 359899179, 581986850, 130495779, 206631897, 835560415, 635709308, 147964323, 1009440438, 860078020, 496524015, 751683797, 763659037, 655956550, 632209590, 173237894, 275309393, 778213545, 991320597, 583878648, 954391572, 31007390, 451318037, 566141055, 158219534, 996489387, 855163650, 661236457, 307245523, 430137608, 890534154, 956222192, 1041840935, 767655222, 662176281, 347279805, 650305147, 855556000, 943419650, 535321741, 728359773, 1022719632, 31207279, 709087379, 229769819, 142876342, 356681050, 197632231, 174912913, 138565985, 142259058, 804273248, 240126106, 228232135, 371264623, 1044851198, 510902582, 594751405, 583969367, 664207992, 190012054, 774798846, 417533232, 245412978, 27417844, 651345434, 527501318, 388857455, 9345751, 642012388, 637571387, 528010007, 714789166, 1018934402, 368348014, 395553179, 636289999, 782225373, 111475796, 72849024, 619573670, 29829510, 181553330, 658304317, 619736033, 779553734, 703883872, 246724558, 716294290, 1024192487, 617899981, 915016795, 306924437, 407640811, 259630725, 413029116, 723215674, 195427559, 140042141, 771245056, 358335572, 736510083, 209968099, 399461121, 91458966, 901650410, 15845863, 390154033, 750747486, 431178164, 13560840, 848984869, 1053122362, 1015687757, 327380788, 473568759, 879466433, 30140411, 431695828, 124469486, 10376417, 949259964, 956444634, 158557606, 798706403, 432757530, 1073331609, 769435749, 101524881, 271704041, 307036012, 736832458, 756929187, 401624417, 320962345, 734709697, 891143762, 611511973, 150675528, 862626039, 189729619, 779239889, 997740865, 91725786, 913315010, 348857499, 813502048, 772316443, 1062708842, 448568455, 401522246, 722109901, 344006644, 95307097, 102072406, 372363163, 224813943, 112243150, 144827783, 96713106, 305866515, 940136411, 621925825, 695509943, 494341371, 603652661, 152270226, 474668896, 183120778, 1001579719, 770565231, 472635889, 210472191, 421999164, 750729599, 936229056, 1061214241, 752962599, 296922388, 942589005, 171775078, 401251719, 693289463, 913793498, 31983691, 479130310, 414326339, 825244269, 275742101, 1010529875, 1065634684, 735146318, 271524326, 941322581, 577961446, 1003358515, 261779299, 656105656, 1067822287, 786718258, 112374189, 177757440, 549130451, 585677838, 575869125, 406282244, 864739131, 357717436, 384029495, 812097288, 182512812, 729097370, 718455372, 740413905, 169786300, 246294128, 433419939, 396074004, 662555069, 41545406, 115535339, 581116558, 827731562, 843918657, 809982163, 377881956, 353538582, 201618539, 622387987, 60057783, 505632847, 16056348, 1050646891, 945046737, 768407422, 171191295, 95684148, 186290982, 799313976, 364122142, 501868339, 797919715, 423250968, 577712879, 723993709, 573219328, 54612643, 780475883, 520329714, 929738981, 596533119, 768166938, 1044222041, 106020064, 1033276563, 377490951, 1045203093, 999883130, 628225604, 373101951, 688970221, 606929664, 227978315, 333699206, 400721598, 982996683, 323768114, 894648088, 83570810, 703724120, 991526522, 724573227, 169091821, 66196618, 553388064, 691429207, 875050420, 590180544, 819515112, 724921028, 824918009, 874853818, 770460177, 939665233, 855716813, 232725344, 333860435, 266910548, 241168462, 260363754, 695299667, 839650837, 468110147, 664219710, 294275568, 114057957, 386257514, 196802451, 134595484, 156510067, 868828628, 1012377374, 654752663, 337007413, 574125318, 749642239, 382779902, 18870587, 744928357, 224909778, 959453253, 385269107, 536812532, 619401329, 542376150, 245707184, 260817964, 731392924, 524081263, 155534102, 1022489990, 65919673, 894950065, 231020929, 15741587, 834615314, 7119078, 245560081, 110213284, 807875802, 131713687, 229423853, 631736446, 121940250, 919186463, 441769280, 900551067, 164093233, 443673512, 25194487, 900496935, 665157466, 1002781875, 1031623935, 981629442, 449284118, 701281471, 897440527, 332380017, 268830084, 604720216, 734086546, 493470852, 287654313, 97706542, 16353781, 9808434, 109536291, 22541366, 788759154, 1068822790, 1020291952, 401338525, 788155450, 927051427, 984106638, 45510416, 355153601, 159548268, 1014549841, 438880806, 643111636, 600727631, 234286784, 147997410, 688265033, 977413590, 194237116, 401818204, 225441273, 793975675, 755320335, 654597756, 1013809318, 392773822, 155528175, 554365319, 310462273, 383409742, 883974728, 30526394, 561306679, 257715194, 380834592, 456046603, 894449556, 85969293, 702394127, 356717343, 89529123, 596483157, 949676818, 432252815, 646475433, 34465518, 318733577, 411994176, 934952606, 137979720, 479557051, 149592653, 889328095, 439432853, 568610937, 905495221, 131138411, 549115328, 757970839, 51973082, 617341325, 807962924, 241919616, 793319001, 304823840, 966764283, 598838811, 172100346, 861693996, 622784039, 284085030, 642092120, 88500277, 398012630, 527971369, 818574483, 707460071, 701939805, 834757837, 239437009, 14256492, 779815504, 856611395, 863338655, 743483738, 805638504, 839108195, 982735046, 607769400, 379343913, 23264363, 376437711, 591548264, 878183801, 996180122, 126830366, 259927482, 813137090, 387401131, 619073927, 944032330, 691014127, 708938520, 341991848, 328655667, 82265743, 969933691, 325544657, 807717855, 995803117, 855045823, 469046632, 698160130, 818935306, 201075491, 399453087, 543744250, 294526894, 728596263, 769229834, 302109683, 323360311, 665405942, 143252068, 395059137, 125810842, 302139546, 7848235, 326958696, 27315467, 583972805, 731117013, 46751659, 202892119, 237193190, 257226187, 843085458, 595317128, 850317748, 427644878, 239715708, 191617486, 495705591, 686684731, 1009984275, 828194086, 719755678, 78049846, 20445857, 805861038, 326004381, 878538275, 863968317, 27243522, 739231498, 110511703, 428882610, 37098869, 896647166, 211623805, 707994228, 599751456, 750542216, 1019357755, 650711106, 452369012, 394314096, 232166174, 1011980653, 355966124, 1005744072, 771324283, 434486611, 95761150, 515105784, 169386999, 916875838, 470128718, 567119015, 73294127, 422911286, 740480273, 136850329, 405580877, 222016206, 573340430, 617775734, 32655902, 128653232, 746403606, 334311801, 152074469, 647785056, 277671821, 436761648, 154195159, 64861053, 719528958, 421123765, 761029419, 991971546, 150834586, 548786395, 114532906, 151645087, 504304527, 625720470, 919052910, 832874482, 371144296, 604693887, 672806599, 923956448, 6652569, 332932050, 71648563, 1018863945, 69648537, 913548736, 130892892, 640542922, 373699676, 124843598, 946685372, 609395827, 368805468, 686307826, 1004816916, 741638920, 389095572, 108681859, 688913864, 557855164, 102313337, 674568520, 842362265, 717657676, 798832202, 739924933, 854230420, 661955376, 280369815, 278265069, 987280025, 980892145, 952078783, 454019349, 66009463, 327750816, 738773113, 1018299253, 894693582, 45545643, 532085096, 939575261, 753533017, 915096832, 947825494, 67120376, 1070361956, 51936342, 370349822, 645770559, 697691252, 749203294, 134112210, 1041445642, 754965585, 600624718, 1065964335, 374878309, 1039892445, 246837714, 1051406971, 831734529, 352455652, 417864196, 448369781, 215167922, 340108755, 634734391, 581518219, 214485381, 348549965, 853667796, 786074624, 638512707, 554747722, 279100632, 127988179, 983322147, 632226869, 150564874, 383741899, 109017253, 1040670547, 393164046, 442646832, 520074188, 536180018, 214776632, 276417686, 220738305, 456749240, 824629427, 795763060, 357692673, 89638063, 890884731, 779007512, 586602918, 393733220, 312914713, 570062668, 990070337, 503850324, 439485259, 388247263, 716032429, 958234320, 156280168, 396071305, 282814060, 410544411, 107690999, 275860571, 1019476117, 709507021, 427403943, 489821452, 858956844, 801825324, 637415502, 523825466, 454335820, 161678749, 182378915, 852774732, 655752054, 403451225, 108579337, 183744594, 1045166433, 514657215, 441849987, 908378595, 683018923, 493015247, 615235960, 167452493, 850226953, 705750534, 654327970, 520109940, 726116742, 869509809, 557761546, 82811421, 958940025, 144489992, 302331974, 19189732, 374570318, 864790355, 475291328, 805207553, 1068272158, 1049823688, 398208907, 844510531, 987926673, 543973639, 698554162, 528194331, 186348961, 447622126, 126656514, 1056364386, 29634579, 585592786, 190844758, 622820006, 168191600, 455706893, 410910584, 745022578, 318724404, 289582013, 92811536, 104935339, 263491408, 21499662, 771285283, 224316654, 160738973, 6905580, 218536054, 798133395, 529812784, 513521542, 527226041, 796831040, 743278826, 970229081, 447451466, 304722990, 918980709, 777368058, 827399445, 899677359, 773436427, 844205128, 247357248, 521378526, 847350702, 260318360, 419737914, 734379388, 574208487, 845095893, 50165286, 438932935, 429626467, 160251222, 279233884, 91956669, 751850266, 1006894613, 8862545, 242832393, 712907054, 397440236, 445063496, 878874321, 1051436854, 113542987, 995730, 6226192, 508578876, 627662350, 374241477, 371567754, 1052709923, 717948440, 475133501, 626527654, 685916309, 290733642, 1014637703, 195726615, 540965811, 961606354, 966666647, 587072803, 1004447604, 146360647, 650521364, 894245898, 1005410768, 328649035, 300034800, 930020659, 951553528, 511771836, 807247772, 781323424, 64404239, 563196885, 814922262, 616376685, 867020733, 781831980, 423165191, 205496740, 458159082, 258426943, 455714376, 31166856, 553575466, 123753466, 927110637, 1005086760, 163277207, 88305136, 1033983270, 968231023, 27046759, 1019979084, 184964235, 562311742, 24460801, 987025659, 1071516464, 912049121, 937267065, 694297074, 345184289, 295713414, 636844249, 931842101, 221079866, 825594339, 595770320, 631623691, 667667325, 518014843, 1067740711, 279127067, 196917861, 764308732, 253267343, 445141515, 821456099, 841414166, 370900145, 183320285, 812200827, 487274493, 441268557, 452309953, 347031320, 273031048, 526275414, 716134, 202056156, 473352911, 812888080, 784296560, 601665647, 893085209, 870537473, 876603526, 351517964, 471779709, 1040119901, 121792903, 530408445, 433972605, 782009097, 1063633906, 751536188, 368469575, 406320248, 661848591, 1844672, 878213325, 982793286, 1037262072, 565109931, 857381952, 1048662113, 876308887, 963237714, 253758733, 429352827, 1024422197, 311065587, 578256654, 303289605, 381533240, 938880632, 127676629, 235600024, 782751735, 1005992151, 186484792, 173691324, 1026190559, 118992623, 112437423, 218325591, 855326886, 680524298, 288956938, 550593893, 527261272, 83592305, 580794760, 715384808, 1046928161, 1031375952, 1016882916, 625536989, 886209883, 801168122, 726110950, 405021770, 825463189, 161158289, 594047450, 703375585, 538982854, 50894979, 900695715, 446818199, 483546833, 387022039, 65389547, 30973599, 711401021, 109202310, 302246258, 923817837, 215252479, 774335937, 58816887, 950486371, 696224826, 1013632503, 201641298, 903756720, 430381562, 650477720, 9977134, 659615331, 769131711, 469132093, 180215616, 265453887, 325490771, 620829444, 806450003, 89314825, 49072011, 337598083, 365301340, 1053981125, 32091912, 36253320, 851997273, 594084499, 976322493, 724434931, 806958175, 531491105, 314010076, 183942299, 496678312, 580777983, 637161302, 426947074, 224224726, 940751647, 608961469, 939480384, 767921252, 526641664, 102386490, 538563329, 4967073, 62137606, 929761229, 659210022, 894578532, 755333632, 671486422, 731098213, 669256897, 331973559, 330256252, 56689451, 929074847, 663317708, 348375472, 711793560, 349587010, 1064195387, 590652984, 52433567, 685536355, 279783695, 268154031, 861343689, 188787726, 780500317, 692091323, 665735855, 206988698, 174767281, 43441845, 361096599, 479749386, 949932360, 717213208, 59406761, 753138096, 14034070, 513398692, 422554048, 411049281, 77875127, 948087215, 323959210, 630573760, 834417528, 373723090, 9971755, 192253398, 178203487, 530773357, 246075660, 894564565, 435990693, 771293450, 931725985, 69777485, 542620449, 334814709, 423002978, 775580304, 639230068, 137458707, 94911728, 992175067, 480739832, 332535910, 475944176, 298663827, 445617985, 768782030, 191602878, 898810762, 388353203, 585380896, 310069413, 232330196, 915692958, 858652665, 87436639, 531040588, 427863744, 352659978, 51558836, 16607127, 1018713745, 159409972, 516637872, 676416616, 721878264, 225316636, 397416563, 448797977, 304261801, 1030439528, 935180531, 667797216, 510096896, 854097029, 619140036, 554029252, 715385285, 13100543, 286994235, 723855095, 418541549, 137341021, 701861737, 197925322, 741955581, 827149964, 160795285, 614974630, 1072437976, 761483163, 1058623995, 218466055, 119569306, 597695756, 594784741, 293323773, 741458398, 535323813, 644071449, 402994151, 281921684, 1018233413, 235318249, 533311331, 547876354, 837860229, 169527916, 671943594, 817648266, 73341389, 570238718, 380803762, 406497370, 129188702, 140907433, 497172564, 928441681, 1055969287, 798107924, 366938670, 883797882, 712188805, 807621273, 597998283, 1014691877, 80495405, 79433178, 338557400, 446459900, 610825923, 876025769, 392190246, 65553862, 719110755, 817864154, 538596507, 374625719, 285069717, 630377229, 130828283, 785223912, 140716725, 134282216, 1040160898, 111250981, 865789030, 683578967, 541935437, 791113205, 974129105, 883680742, 247297557, 1041210788, 632967956, 439965263, 239018892, 438551711, 714527474, 505359146, 727562697, 552631201, 678324116, 947437386, 1068922022, 443847159, 865253838, 293039842, 172188025, 1062775527, 815349837, 179566394, 48524207, 898454671, 682875543, 120254443, 701408529, 254543783, 756089058, 656292883, 207308953, 725635401, 120564676, 85347270, 652244951, 783436952, 661316588, 215046698, 616742308, 317568204, 103071311, 419456119, 96855987, 886544802, 590319432, 263214504, 752500595, 1037526101, 848205763, 747686007, 736251787, 1013169998, 617770087, 268627597, 203303743, 346220324, 513535806, 867298558, 211351152, 867950723, 1057195000, 263946929, 860053519, 18316976, 179919212, 701689665, 338700453, 878732039, 273244903, 871610236, 937277374, 295174327, 435895112, 1020074183, 227076941, 1044486741, 101981007, 1007637744, 740904703, 858343223, 93552361, 319537222, 586021632, 204733409, 637346231, 114687558, 881013961, 1018507661, 553971, 369001742, 54187937, 810629711, 267021946, 806264365, 340433894, 610138930, 307138188, 286726709, 128694511, 931528669, 999322971, 695224727, 300255357, 931165232, 308631757, 561813958, 93891987, 695465897, 764905498, 866410750, 1026806417, 656823163, 261395848, 315998616, 1049061189, 662109808, 600424982, 917141654, 2968391, 646327330, 477008603, 417066292, 579461058, 1211166, 792381644, 176316334, 489977244, 521158726, 549526373, 746811077, 940722362, 771249114, 678644584, 281514446, 251263574, 668374916, 406194017, 879612274, 7358700, 212614269, 336523230, 61882732, 814037486, 668912264, 495066829, 1061458245, 431991403, 1033304549, 549740518, 998912064, 20573145, 88645117, 76003738, 694523333, 127427621, 525972807, 105339117, 348872282, 81008672, 793941382, 273675069, 524281361, 760426175, 494550126, 777378373, 383615645, 792048385, 407644, 36919043, 105901849, 62573256, 780765012, 43001123, 154737561, 616653607, 398529947, 402366914, 344821008, 507746520, 136032064, 155244394, 1065801936, 529617578, 883242129, 1025251361, 197675137, 1002813278, 255011642, 202536467, 278083392, 563780042, 737621982, 117106974, 616385216, 991177173, 898701405, 763969651, 80695936, 1031012837, 923724656, 608648613, 890335167, 12330641, 904869567, 557737359, 812993149, 204640205, 777588679, 110994227, 594549770, 134006845, 654562331, 855787176, 79016884, 88410717, 132858643, 700320993, 738091509, 566093465, 160637713, 201870953, 1061282744, 452599686, 562567589, 900704690, 477078686, 337662855, 221495381, 59479264, 838000904, 818336107, 469669543, 301787186, 548721800, 268510586, 1062326378, 106640957, 858878311, 327856972, 841527285, 1024862049, 370289529, 812311131, 175686261, 875833422, 374895000, 675259325, 6637551, 587487594, 919663700, 14060814, 85753324, 737865621, 172756025, 682433248, 989263390, 275430861, 682757365, 406219769, 23247591, 171430870, 360355607, 545970928, 76106571, 617402426, 284971703, 346722903, 3990172, 233319727, 462008530, 229862082, 759684003, 213370365, 512739597, 915586141, 407499019, 714054251, 268698521, 548779439, 825359670, 386927790, 763285737, 44001006, 690825286, 337949607, 557346722, 966082880, 875618974, 861797729, 481651612, 1057147993, 167689146, 512648340, 937501338, 500513378, 573996285, 159771615, 351535581, 175217404, 566615951, 414334601, 604286058, 840207567, 1005425918, 654779831, 823788837, 188984408, 694261408, 1003973540, 293295931, 597182156, 173211953, 346478567, 557636859, 188406550, 342234879, 532301207, 1007497375, 300392450, 941538310, 808569400, 301014224, 401862628, 581148270, 552444730, 144586596, 49418696, 28180252, 559696826, 540915524, 999228083, 102875032, 997970131, 809813273, 320345940, 197972264, 744663098, 534434646, 996883640, 333403225, 71071432, 342628223, 114039025, 525907549, 500455646, 72219784, 70210832, 79344157, 469715655, 773121218, 358954401, 772791654, 750666387, 116156216, 741168812, 596516971, 1008885705, 1037400730, 545882657, 671690919, 72386867, 215268494, 998317590, 613607043, 726209699, 274889156, 145047297, 26368579, 534485420, 533975035, 23635822, 732824919, 219527634, 456264883, 88318700, 955890841, 15898034, 47539112, 649176668, 1072839659, 696528197, 761713120, 853517278, 31432523, 519129490, 911856092, 121874704, 991487394, 81386599, 957246579, 185472658, 192950030, 537935635, 411790660, 839186117, 765266769, 588743528, 777031060, 262849784, 539372440, 985887438, 901988259, 719688231, 164589033, 926363622, 463657468, 999854743, 716951917, 558485331, 998081113, 595612519, 37846704, 509476870, 717656006, 1071711743, 405014762, 503983335, 981252687, 867884773, 351860563, 407401820, 71068494, 601783507, 423737539, 927579273, 212681885, 559049983, 211076026, 264642940, 598927480, 770587100, 814428519, 698547733, 355336347, 435963444, 325171243, 729209987, 732573742, 789044631, 1061189232, 154413317, 8669511, 235555143, 509663536, 795965308, 737996080, 851320033, 550358690, 167519346, 720668888, 187526361, 722177897, 168073839, 484757855, 333905752, 679780197, 465215794, 255048471, 768598742, 293106847, 501577056, 180965973, 89740253, 303067557, 607994424, 1022009085, 224581827, 687235272, 466001276, 313857249, 681079685, 344096719, 876508814, 345594083, 464511310, 670057548, 116769727, 249407197, 425349310, 777756600, 153440683, 655847696, 191869986, 232609523, 453693876, 9921905, 929275610, 1023083013, 768953707, 171193288, 709053719, 416864172, 940677268, 1044354090, 183900514, 993559061, 326820039, 928162974, 58636589, 7962845, 347420231, 442739373, 292629597, 64013913, 766041697, 735384071, 841515154, 19301724, 835426789, 251515994, 307621534, 968720653, 352169043, 652645669, 192698921, 600982117, 843765671, 818916686, 824577318, 881414722, 278306518, 837802494, 688263294, 155349018, 272050487, 249924921, 363934800, 204787821, 681027762, 736084841, 562606553, 125950858, 278778824, 749169300, 884608167, 432932878, 754508398, 165659990, 664193110, 34428447, 226362488, 814151235, 680131020, 841788622, 174699610, 189304218, 343671229, 999663231, 624048075, 30456920, 740333825, 178702372, 104181291, 608396201, 269827695, 760816430, 561214985, 93258024, 132775107, 241332716, 486718764, 97826810, 679256638, 60252410, 34913247, 271012271, 604494363, 413501780, 765728923, 807347228, 880185235, 400633824, 576884850, 588024071, 126732481, 905803388, 657008316, 831772526, 553588487, 141027840, 753485630, 337003553, 701538505, 184041357, 120339173, 801104215, 826588293, 180606045, 99195871, 955751793, 746927050, 1047617051, 644134955, 776359874, 271159119, 155656738, 521662089, 620083507, 1042824649, 544262050, 522137107, 312275534, 466323364, 84929726, 228123538, 827499077, 971569866, 490957458, 655331342, 552105665, 666274648, 1032209897, 658648893, 196837392, 772194137, 1065820401, 413973667, 649633647, 937737172, 348711350, 976432422, 325050831, 283771079, 394515873, 606598447, 375901537, 947343589, 255327434, 423466435, 689641965, 594891924, 416702804, 737994263, 1035140367, 533308905, 376256915, 23766711, 387392658, 736369202, 40098587, 265252246, 982562174, 340829650, 263562438, 11231667, 78431554, 636712932, 400875413, 278522668, 133682420, 82550961, 771839626, 302128417, 777540476, 604127653, 196755183, 548471586, 479550493, 445187030, 533187789, 125453900, 811605420, 572540007, 1071373707, 988414479, 485213031, 312911178, 272625746, 63668393, 638595524, 994941892, 437496535, 931122186, 29473338, 655533008, 354075575, 202183567, 799269473, 235369339, 111504698, 832771118, 204509927, 127526356, 35942223, 477925441, 757995268, 594991621, 375714001, 556924165, 347249702, 182589573, 959682617, 967984864, 927674236, 498520404, 877402757, 856005971, 702881652, 44289532, 58808608, 214203918, 288929320, 670809065, 617254115, 921425562, 597608803, 312883832, 258363118, 672880375, 601967096, 813149418, 91720084, 643423038, 789372823, 1071909043, 355951429, 956696721, 145481474, 1040949475, 162512282, 285890902, 750812031, 201802209, 508451287, 969228919, 179027350, 703490050, 963708191, 962044403, 433463819, 278471250, 158749175, 470027655, 353110374, 930725141, 314998827, 864777845, 292850035, 900269907, 636995525, 371934474, 17914022, 646837451, 217717216, 1070379872, 1020501242, 241190566, 799690788, 655782775, 753655750, 106117685, 562469496, 15976572, 315135939, 722735881, 731120912, 342443686, 866970799, 652935196, 42953542, 948242817, 474890209, 842349083, 1059554145, 557264861, 804505259, 40909166, 690580949, 599541246, 32822003, 424251423, 811410653, 341278106, 44552214, 642860047, 158648990, 498946238, 46347477, 196168128, 514726788, 146134511, 378860091, 48895987, 211754758, 11618403, 82601730, 569093741, 92913862, 814411869, 1058136001, 537254272, 415073104, 505721736, 1011031916, 267984237, 124718742, 210103064, 96269606, 544911875, 966881254, 316497378, 658587937, 1039907317, 595490023, 136359219, 920700028, 820464728, 834048791, 94125734, 582375946, 24946137, 1015772007, 1049285220, 952184251, 118074747, 588460304, 401235642, 489322069, 195121538, 801679429, 77786423, 844579595, 317176140, 483043139, 408902646, 573115050, 954218558, 825026410, 522370000, 678054768, 331300208, 1019631972, 177624897, 74827794, 1014431706, 898462822, 591837184, 175735603, 151297495, 926589403, 181946031, 765571334, 32561886, 265404282, 617308322, 768835571, 318718203, 281987630, 77743811, 328649386, 638679149, 376336031, 821704758, 789793609, 517612949, 674704036, 328003458, 212136841, 753535468, 948027218, 824095606, 242891034, 786898874, 794874250, 909238979, 658399553, 593434701, 339275692, 964904066, 59253416, 144963905, 477741429, 767146520, 38040089, 670843287, 211656946, 297746162, 981179497, 775643387, 699870120, 506522828, 672887831, 22852588, 277144518, 29094520, 1062563304, 832122849, 762168648, 1065951637, 843501283, 143874237, 395886932, 425910187, 1038369533, 17817677, 739379094, 711254452, 880552584, 374830747, 839740329, 314480248, 636984425, 412055817, 156016730, 699320229, 269171981, 913174710, 400910905, 1068692746, 252593829, 487070564, 560062139, 610206673, 297341902, 246806484, 659748971, 194320543, 920235897, 719441205, 899258234, 8045289, 131553318, 693214065, 903969843, 633338284, 330765521, 727824336, 727616883, 283933039, 328217796, 632015250, 895339542, 542591735, 1036060792, 1052656460, 290837414, 251442959, 424028952, 1011940893, 280429793, 652830280, 949772116, 359995092, 910266732, 594583617, 411404668, 239685175, 833017910, 146542616, 215742750, 428308176, 580878194, 39967612, 288158586, 987676599, 986540245, 474967227, 249693289, 626599813, 1054370795, 9297207, 865007457, 943390513, 1055195172, 519147435, 537881759, 697597417, 817452353, 724271155, 936613609, 199463581, 715250292, 945292580, 594164084, 747298509, 738299532, 620579626, 69755768, 1061728973, 316960781, 519605095, 151797268, 703074721, 5865550, 617863662, 70056780, 543227255, 1010965276, 621003862, 215998542, 999602508, 684948259, 58004716, 880170061, 383884852, 242503199, 26612360, 1001642162, 974513626, 330269801, 34045366, 108292280, 804551110, 362210581, 685850443, 848498916, 867900092, 331270533, 768832928, 780813347, 167524235, 75061408, 466130322, 920765015, 239889934, 104737595, 821169646, 1062222078, 267436394, 225255455, 530139411, 896525786, 310725808, 934305105, 80438039, 220891955, 681065488, 822931731, 978694525, 675544544, 892333011, 809720130, 1013656152, 366084448, 873718443, 870701427, 719051127, 882359156, 705217555, 153293399, 539751614, 750457406, 1016268917, 640392318, 768560072, 990095811, 628608468, 596470101, 789480911, 987997362, 455503511, 398504581, 114923652, 6288605, 735651946, 745636561, 635561215, 475826539, 419742401, 749714540, 188997333, 403605940, 388527803, 247422390, 624604612, 674540959, 937614761, 886899704, 240929707, 484943730, 465889987, 935908609, 29269701, 581897129, 397511149, 903440451, 646791278, 224562946, 62241235, 813057147, 40058128, 743688030, 54276785, 1016279839, 555544804, 150633916, 815648502, 432343872, 934043507, 161722197, 245758956, 185689580, 35844201, 841155927, 1013049266, 1030899914, 9764820, 333000292, 973605794, 672656446, 692082345, 779252714, 149743385, 299556229, 817713529, 627273268, 891287792, 349996558, 550808184, 1059971450, 949389265, 783652740, 1039250651, 740324906, 251281767, 804484798, 644189369, 84440913, 404638715, 54362482, 326217802, 166911407, 640280676, 224527769, 252115907, 872519294, 1024312296, 856750185, 746457506, 983058914, 714947850, 973816275, 4772115, 464099814, 316274290, 596749418, 1000888696, 31626887, 44532290, 514824525, 201056708, 1016589196, 533644276, 809691252, 629002401, 707847151, 876723543, 167721266, 492825517, 779656271, 150007639, 716160319, 475373087, 80113556, 986434533, 751508719, 123599725, 691269294, 1032340863, 236752488, 975412894, 605854110, 928280639, 479999540, 432654977, 748920130, 31117621, 857374493, 81011139, 324927012, 8642423, 1038525155, 717688824, 620666772, 542393931, 885944931, 134550773, 743817483, 876059998, 2408024, 396787996, 275511984, 1020816731, 261014661, 958044724, 772598716, 553590089, 809965897, 670660265, 609991899, 840678731, 276517678, 979451802, 1003127285, 925921765, 91714884, 855242713, 723941485, 954030406, 807803004, 323034842, 667229469, 686343599, 823491179, 970177000, 623777506, 262143920, 433767381, 96652232, 247015414, 584858928, 140197340, 652503543, 44198059, 738569035, 343866284, 409541425, 749942023, 925886102, 863037228, 96924259, 945814562, 454247034, 1049521474, 438822506, 396021634, 74417611, 210390172, 970621755, 1072660878, 811793464, 273023655, 676734290, 526287109, 543254078, 469249905, 912384200, 3446867, 1022212144, 226039037, 636557097, 380518734, 392287945, 420475414, 476698652, 165469284, 689930481, 760354096, 37073520, 231316491, 120306892, 951641233, 135090684, 584613471, 287710051, 519800887, 814186546, 228987084, 42385325, 717571203, 365768865, 340948552, 177496402, 532652727, 265197110, 527436772, 959523957, 511971991, 1011597910, 77095263, 724144331, 538619839, 190945967, 396438176, 55826380, 431291489, 344254731, 969978390, 235209408, 245754236, 886983894, 501290307, 183643457, 695939897, 608287264, 673141635, 626654663, 399654705, 622968391, 567665475, 176560813, 802128226, 655895332, 320880719, 839141206, 422315938, 217286926, 446559061, 808293350, 657868119, 377501572, 277713089, 549223431, 355840002, 603482753, 542190544, 783383059, 114307375, 206592175, 386767361, 537114398, 196193031, 560464709, 681097462, 467978279, 480504219, 543026557, 1011557936, 511791453, 674200434, 959797277, 872249004, 28606918, 844791354, 612037087, 126650447, 968308252, 822803602, 563323357, 966925896, 1023223971, 935994019, 718238548, 38807179, 139490776, 8756043, 288475801, 211308152, 93161581, 780205641, 751394770, 77255203, 425965459, 942695901, 597244150, 382043372, 858451215, 899783753, 944662137, 632431833, 1044012127, 504976831, 163278113, 154766761, 127616311, 775114692, 966479683, 484247480, 171358838, 873034021, 998842639, 487567546, 585001480, 14235468, 876175636, 1020893519, 350630917, 263828252, 696882693, 403562025, 687676262, 767263603, 430035444, 324022851, 932342852, 218585627, 1033496023, 861954677, 930872731, 680930038, 1051164226, 768504602, 882572767, 691138208, 1067226673, 50046193, 636182447, 354765565, 702431284, 265200120, 1014721247, 431320645, 719182896, 953667534, 547684926, 594209108, 657655362, 559732320, 783274709, 1060482160, 1056130055, 581567257, 773641276, 919511990, 891853543, 96834104, 453469218, 146388018, 49230675, 1058218953, 426632647, 340878268, 266423834, 371098371, 191605828, 118885525, 577076684, 122427254, 616989929, 236212428, 968437460, 892816519, 57416137, 566569244, 577375239, 341342856, 222122809, 490603758, 221478697, 396681858, 403462626, 84875857, 643691327, 431593060, 260943923, 359676198, 630205405, 602376792, 604846268, 187900483, 275784141, 129794627, 358514043, 395160178, 704521656, 601132435, 88445112, 785572898, 784001908, 349658085, 993462590, 1005760632, 745536638, 441115285, 27920054, 706489842, 521704661, 302090872, 1072483239, 995929576, 871580546, 1011758557, 606892025, 423728790, 843513957, 566218736, 662465582, 787245032, 452648118, 186360939, 777142103, 982623337, 462653588, 554320543, 578500207, 460749487, 822150044, 611017752, 119713062, 215647151, 545312884, 100991197, 801745376, 288465173, 1059653766, 949152743, 1034979350, 897198218, 744393424, 1048410095, 954106095, 570864812, 610196857, 449807878, 839843232, 913483911, 119900717, 803543638, 382471485, 693163889, 765439681, 231814019, 259030015, 292715668, 345324989, 847452202, 163553908, 382015949, 711163713, 917926342, 852650862, 192705727, 85737165, 530159939, 183086341, 150320607, 799488047, 485704371, 972297313, 822838381, 403345449, 98254919, 879979984, 227826142, 856945214, 652917748, 366455853, 504331371, 1008580253, 849867823, 1071834731, 772215622, 898109372, 515385516, 826255580, 613946516, 1040248799, 1052066207, 30316558, 735184403, 996178422, 311669368, 614969313, 88516929, 1065099262, 498710921, 761326028, 1053434479, 226797976, 394629479, 812899020, 743103301, 899632935, 713362255, 986872547, 396320236, 818340554, 805294098, 136007518, 67395233, 803085909, 844512877, 553953662, 1043846032, 68232404, 625707540, 929205136, 239590227, 150086628, 846979909, 917771467, 71689940, 244181314, 527624309, 531997708, 235437390, 330497823, 973413967, 933526662, 218599569, 444955904, 895123844, 1008078956, 718590107, 455893694, 581827901, 523143906, 870871139, 554261024, 498459546, 584989485, 642565511, 548852736, 1049869128, 633386024, 211457789, 549206490, 27289082, 511048802, 665607154, 863854985, 1036240815, 498509346, 450546778, 780718746, 939681330, 656095826, 378187977, 130836402, 241641407, 220737199, 1003855074, 568308737, 330195400, 461797135, 807660988, 162400209, 354847715, 667783644, 822301230, 1038972338, 108430841, 202282056, 789092013, 423468650, 969708884, 28972948, 770417408, 425975837, 164009928, 525282345, 273869833, 1055699509, 232209180, 668353675, 872713821, 1040684817, 778152541, 4508033, 511997163, 544654272, 695927659, 192205861, 707422655, 51623061, 447547494, 889935705, 804489580, 123880302, 57046338, 842581423, 531356230, 755283195, 765118054, 326779869, 245432432, 257434359, 426379279, 962052281, 1044622687, 759873160, 273562545, 106018423, 20182336, 1027620875, 283141253, 898493881, 858233326, 518931269, 512149988, 454946029, 929167780, 199273109, 156515168, 54533705, 845794134, 742708325, 505247211, 871622571, 503824389, 975139737, 724525273, 36570893, 464316842, 410330390, 1019567008, 98543597, 792265591, 767141428, 250177433, 800412530, 143610051, 80883066, 899595322, 579706934, 50302924, 77377922, 390512246, 1026151111, 862585103, 742997366, 786649325, 488551153, 106948651, 459846847, 499338488, 113215359, 887716554, 766526950, 246409209, 690602295, 221980084, 1038244799, 860827742, 551238520, 151863455, 442472399, 1049542473, 294567460, 167109218, 390086631, 534041811, 715028134, 903405300, 161448195, 290016035, 712741158, 568587226, 446472761, 369329466, 788187406, 157898794, 444688856, 948058280, 224914212, 271711863, 552688702, 608321929, 491163164, 858085562, 413544288, 149422721, 186456768, 891315728, 959152240, 600065245, 853114169, 131434044, 836241108, 365193487, 322865408, 249341966, 288878170, 652687844, 401924297, 739737785, 247062279, 584704109, 91208123, 505806404, 1062861384, 90826409, 727940199, 762579563, 451996698, 850320958, 765677950, 732830414, 346871016, 945273801, 5161293, 569087598, 867788665, 986910158, 337139458, 32008114, 246699189, 391759010, 673922606, 120950683, 977752706, 508167660, 62674478, 577554112, 634711459, 709074454, 988771452, 138984920, 561207269, 674972544, 422647229, 775544278, 241655543, 129386903, 437358597, 1009688270, 590687920, 952845531, 1036815719, 859919307, 833420378, 150112825, 708418473, 937266693, 236855380, 261136607, 540610444, 545133217, 61650620, 43735268, 251580654, 117295403, 321545612, 251090772, 156518041, 129246722, 710007757, 1018043552, 843690161, 478761463, 946693658, 1000941160, 597205733, 541541889, 996044628, 971662860, 767853002, 822175532, 592204425, 143554603, 732427549, 113041412, 645671698, 726164699, 640009341, 925571587, 659822440, 425573090, 504367549, 624099247, 513829914, 446983222, 640861864, 546632177, 924753692, 64320222, 133105353, 281422269, 933484803, 481271672, 501201950, 832976467, 513278619, 461855983, 1018226919, 565515144, 274623045, 335458751, 20571277, 600216815, 615829480, 786033986, 1041095831, 489027767, 870618884, 8757962, 828046324, 1062025952, 509505044, 460993243, 349611567, 894195340, 90034413, 385237273, 652556940, 368416873, 107880634, 291812685, 425303746, 256706460, 164014437, 844560080, 749439943, 803857296, 373383264, 55458392, 455394984, 668243431, 213517383, 270014022, 318536242, 187168690, 347218917, 77242857, 82100582, 330562322, 656719075, 655669577, 786301569, 38922433, 722232875, 703708308, 985662839, 303719635, 128617389, 583079982, 449404401, 724034995, 316946708, 694113990, 635503339, 990437995, 594111754, 960647578, 678838450, 665526325, 2032673, 93828896, 802112574, 308586626, 603082324, 831812720, 143480725, 550859949, 290227405, 203819682, 78977301, 930939169, 111177482, 917360571, 305272837, 423260931, 188432405, 104819744, 880306579, 885213947, 339857900, 192323750, 630970981, 344506156, 577060036, 65366460, 68097180, 825785004, 406200478, 204800957, 629320924, 685250710, 372696082, 1019264690, 999877239, 360257925, 53123119, 276459749, 940066599, 960689310, 718084065, 232624581, 890169974, 199033036, 944022176, 607272929, 505482536, 230516265, 209661411, 880439959, 174662270, 1073162072, 389681382, 402996260, 658891130, 183176699, 379065446, 1023824497, 690701500, 547855008, 705229242, 259847356, 713420621, 390368493, 1026583518, 936349031, 41926687, 694204584, 847346012, 991777791, 55145470, 642707357, 549652586, 1028514127, 1063149919, 252047030, 228298870, 291664111, 466563653, 667496273, 365911101, 538468039, 1064886019, 308048985, 494663479, 187740655, 740719832, 251126503, 991230979, 398057670, 917806593, 152161636, 998152024, 194790266, 861775522, 879070246, 625505003, 443520483, 552064517, 409154093, 115831779, 659941329, 834494734, 843810471, 812944511, 1028001347, 295905033, 640377515, 580042221, 47371578, 739803867, 336441261, 782244593, 6147248, 594407257, 471571543, 338220232, 101773833, 518136639, 926697698, 339001675, 728671766, 908155078, 816341933, 108405967, 885132280, 205570660, 517814036, 72698618, 717659802, 885412653, 1000490130, 200083160, 603340460, 472898467, 1016109796, 32379648, 610848916, 950911506, 463186054, 405230827, 497154844, 743048117, 502028179, 392752388, 670398938, 343574860, 764035603, 28311802, 425849349, 567295189, 167382873, 14610642, 960538131, 984204187, 894066371, 813744523, 915604836, 329299965, 727003723, 712577512, 1006389432, 959418533, 858531641, 624217683, 885890996, 49584645, 970684347, 46928400, 8240013, 496434950, 329107980, 588331992, 243785850, 1011793359, 939596743, 453031660, 628406639, 272980546, 380171893, 1025664254, 830618767, 32128106, 465161445, 920656879, 577289927, 117711902, 786918605, 814009350, 561583642, 653903406, 717770706, 306532041, 438172899, 102221227, 792699079, 684181241, 812083759, 1028403965, 87860055, 875055105, 829143953, 459080123, 56413293, 867087079, 818720873, 602279332, 1014762598, 824667700, 895626592, 819923448, 507838988, 547741796, 779766359, 365625747, 462838581, 687980083, 625555909, 901425168, 482108260, 296006911, 576325289, 1019428636, 795425350, 253628036, 182954145, 942545013, 215532621, 653362408, 468494011, 27266992, 943893814, 363361244, 289838117, 957213739, 556138355, 852203674, 795681062, 137975028, 1010889927, 136419927, 620787932, 226555434, 847017069, 668389087, 22553736, 311172627, 1069404386, 304668759, 13561203, 131327423, 481953614, 794806839, 950688247, 239584762, 967246339, 103890712, 92736085, 275179468, 33922641, 655045566, 199337287, 816837615, 744592509, 850938252, 588326617, 1027594666, 834458547, 475553302, 285772060, 347042160, 792997329, 766058259, 826558804, 849467305, 483538258, 471516889, 769551202, 133211048, 402569138, 1022848980, 105136211, 898369547, 448338563, 223602037, 751980511, 825812200, 983177593, 599211822, 226645833, 211474422, 14648649, 1057039908, 901456303, 73976144, 549558054, 212963575, 452542580, 980647229, 348356365, 335158199, 104765509, 868241459, 123969595, 338846648, 877903449, 347616102, 297923716, 425351450, 811017086, 136901803, 664786257, 379982069, 798959510, 307220420, 591966539, 64332457, 37451432, 441885293, 184343293, 172970903, 737588252, 61615004, 158129568, 92099115, 90820383, 737402398, 291098603, 72643781, 103081010, 178592547, 692485429, 305376996, 249326366, 1019459724, 459391176, 913560967, 1027642467, 616756054, 568227600, 936745275, 825013889, 829791926, 258421962, 777682732, 14845595, 185596231, 474936225, 388647345, 13354629, 407374147, 911155993, 30454375, 743239903, 908705890, 982039202, 1037139149, 815697489, 1038020196, 395883643, 854883218, 136431443, 415338771, 667266280, 427928714, 822219077, 686766011, 586949861, 841446182, 294587939, 920470709, 201101801, 959179774, 525469013, 992146202, 808903683, 512111330, 123410725, 271034654, 365869823, 119700725, 844860621, 842681506, 941307280, 531177455, 697811615, 578945247, 445668303, 706139913, 993723755, 175463821, 732269138, 866049774, 262930854, 532362874, 237811556, 566820571, 70389491, 169322419, 177806650, 286256010, 908823931, 128195867, 439223718, 467575222, 243660860, 25275613, 887380824, 949908528, 191283964, 810482243, 1048633195, 151866200, 290101266, 740948234, 1024994959, 206063905, 977999457, 883292221, 873491449, 778884305, 215679178, 117503670, 312792799, 964190115, 226703119, 396956035, 403438330, 462602314, 129852749, 957812420, 166527228, 460777704, 806244306, 347833776, 300913940, 67919860, 423288844, 87860863, 69118647, 687112654, 892336004, 318703258, 161273937, 382027688, 439912087, 425258983, 112526094, 1048152247, 52635782, 711254730, 513453156, 10270255, 861315830, 621163989, 134637236, 784503935, 208794944, 22638085, 165248883, 932302829, 899740626, 345036768, 772793174, 255415239, 992233233, 4826986, 682012972, 880354359, 58136934, 881370421, 1020046305, 893574144, 765553222, 176535736, 729988413, 63409907, 752402254, 679196866, 30256034, 448707452, 102311112, 221589700, 237345664, 523690230, 255305386, 223902542, 844095166, 493442051, 518277659, 153731060, 687693850, 498176186, 678756200, 8815543, 1031949219, 410337048, 434355916, 569459841, 53198125, 1016689510, 138017492, 862675070, 851390598, 980459354, 259150925, 94203581, 963396604, 17762248, 469709184, 322073908, 275466463, 971864984, 875554597, 59653994, 410215490, 308336619, 920936394, 766310827, 705015955, 203282764, 99707634, 590218369, 476925922, 608564848, 654186102, 734971011, 423710857, 355085487, 319710265, 721405777, 797193193, 296545414, 896353510, 797972010, 425074120, 606225025, 1013388579, 787117788, 919521839, 1045604031, 987599219, 121686210, 704140418, 599962181, 740274967, 152338615, 345601228, 509051268, 342799769, 756506757, 262891620, 82781730, 90798609, 861636918, 302108416, 410585209, 414272494, 1049503749, 898997316, 211616461, 406789296, 1072907118, 347274207, 86949538, 50241879, 530264446, 148308046, 271546438, 197076472, 768436613, 320408285, 754297647, 119972305, 458107348, 780117426, 894641432, 833230119, 1071879637, 735341413, 34561992, 596873321, 169813943, 757893088, 548922390, 349313706, 471818244, 284373359, 649394431, 753679671, 615307327, 269041165, 423124692, 978539627, 596591059, 943572962, 1059845301, 468586536, 849585847, 587176863, 755951938, 290461129, 561318193, 1062361854, 583570245, 57745636, 118583576, 487721294, 306954721, 858276070, 753253146, 671490943, 624320347, 138111073, 491451602, 359904009, 708826406, 654961302, 582267105, 126261706, 659775333, 328681306, 958737286, 169932643, 537839409, 149507375, 520745308, 94256493, 718364386, 320250923, 3977326, 761507000, 732844690, 307805165, 487950293, 992003877, 376149762, 287871295, 104900823, 362086866, 241872949, 5308699, 267694766, 307303861, 572579937, 593059946, 455279067, 640174786, 758122902, 942397136, 936651753, 907441602, 180737206, 380270538, 1023272802, 110467580, 392795110, 14958137, 739105278, 850177598, 340480658, 677518793, 513136691, 969726728, 768461281, 245141244, 687332579, 388655347, 401777688, 669776647, 451833159, 379399824, 1034951239, 785140586, 584095350, 697068285, 599119094, 1008561020, 595157300, 682419167, 205383272, 722007344, 179889331, 190614883, 629447359, 712582419, 353127837, 413759762, 722898324, 855228318, 1050559998, 482189213, 514000853, 218752135, 289160200, 817131873, 406447482, 823289907, 771046502, 140851205, 328346013, 66530421, 791255287, 495793978, 522805662, 653560878, 843156156, 27510954, 189740301, 64251198, 848083609, 675583452, 405685978, 894184292, 836205782, 563469154, 750957879, 29368760, 979437335, 883647952, 994458974, 214359301, 719299308, 890377213, 1058000573, 512496598, 55196756, 275336292, 970881705, 253828353, 352434285, 506709770, 296555267, 294183843, 747368521, 533127342, 963580761, 669623124, 322868536, 55276565, 988599718, 770750478, 1024899941, 487621070, 476162689, 60523309, 429241935, 255840531, 195483650, 1064741422, 207122054, 106722984, 933465799, 335986570, 256643350, 972143892, 55893865, 720142166, 649002472, 385537437, 230716501, 1060354331, 276664924, 1001562839, 79706065, 649268262, 19788913, 750142279, 535503267, 340036878, 186152285, 523540908, 205317899, 1065794160, 348662723, 316154634, 556145020, 834499726, 638488301, 466898651, 39890849, 434589463, 678517291, 368328762, 881950617, 574844341, 419512106, 141347939, 978310524, 808622018, 336213117, 1051291377, 608491224, 771622811, 750295883, 220727747, 215367824, 454619999, 323748258, 661366177, 116798970, 758559243, 523206706, 381604160, 265520798, 668174764, 614597143, 227073165, 501694624, 611598226, 132676126, 691687259, 556305279, 1049306615, 481815741, 540727344, 641983057, 818338929, 913457498, 966181418, 322128007, 414507894, 313673831, 557635692, 839863407, 1006389148, 310881840, 800649335, 81721414, 230697679, 242898442, 329045645, 179034803, 591636235, 236406300, 279935374, 136437054, 222709092, 404751378, 344395733, 345650055, 392690612, 36991683, 803167441, 253320761, 960748531, 327825611, 305752279, 1048691770, 617509984, 1065766993, 465456934, 654536031, 902921849, 30485196, 1039381721, 823816090, 671020109, 584804089, 88269478, 173489636, 484304633, 121159741, 37385090, 266771967, 74149510, 599334159, 247728864, 986071611, 551565197, 589630526, 774377254, 425246950, 783675816, 663272136, 592276638, 646079171, 1012391601, 399220658, 403402630, 598951697, 408838299, 109114436, 944882043, 460567136, 701427790, 428954421, 762814668, 767058225, 126658748, 70172942, 346531260, 444339875, 619852642, 251319250, 776252444, 303716477, 269875283, 684512433, 535284164, 786457786, 390960739, 25810272, 1023028458, 317489675, 53859558, 248777967, 157347999, 414047011, 246035576, 656060488, 514990516, 492366387, 564341906, 66007348, 1035759049, 499696373, 824151028, 183254635, 910956203, 639379734, 610611802, 252916328, 508893202, 738931527, 676900908, 418208324, 220095587, 213412009, 1044286920, 898276931, 43565609, 87299010, 200647255, 429610211, 61889529, 770979216, 374481349, 960191283, 726111039, 584643164, 143782984, 53793349, 856748002, 390262308, 505003346, 175129514, 219195766, 525674402, 964909829, 144237691, 517593865, 56570974, 320199171, 872224832, 343155060, 147099654, 254657468, 929436137, 1057528302, 962745343, 728525889, 20074559, 961321862, 584440303, 560128848, 779365425, 934333891, 508632674, 982307439, 744510929, 804527187, 130558309, 331907117, 297224545, 826710053, 718059829, 212727610, 119319904, 216242214, 6947972, 493286706, 67462998, 954162737, 744348136, 57531078, 943350168, 1026731746, 897069607, 74556420, 4290713, 668590515, 1026319789, 838919446, 223625331, 579808345, 924920273, 555462588, 918017538, 1060039492, 599494077, 76967383, 756626078, 181827082, 486644206, 785935987, 809856334, 23010526, 465398870, 1017922096, 208730448, 130639207, 692502773, 591955754, 444203784, 861287487, 779442589, 790933653, 965033405, 376840652, 801054055, 94215069, 363727009, 753626520, 386579862, 47135813, 723809506, 230484871, 201543214, 709657962, 244944607, 72081091, 19417573, 857883930, 180419298, 822548772, 728464868, 23799186, 1035651826, 715144449, 851024682, 762838084, 854952422, 638555030, 645576445, 154770300, 378713809, 64252312, 347465098, 779750912, 45028500, 623119264, 343094146, 258068289, 179770800, 726940322, 275603890, 481722948, 12188076, 441573200, 305641066, 194793739, 290192647, 16364682, 653209982, 288416231, 232193623, 539768770, 876298303, 800572183, 105426411, 816661563, 599023548, 379806043, 177943995, 192953468, 999423877, 373485076, 646292894, 246728578, 447202156, 871177926, 571051217, 276423424, 114773949, 469919393, 821761869, 953967896, 124586559, 417242061, 483275451, 613760326, 529277565, 992084117, 878781422, 226188392, 663629024, 550046441, 54943047, 483403686, 706541972, 942858254, 944264436, 181908788, 279628521, 466306785, 327017810, 81489781, 405434408, 43005999, 823747070, 580967237, 974047493, 296102218, 942720748, 535928311, 912114398, 961829311, 594695770, 435123605, 857559086, 913845654, 466758865, 140568991, 626059535, 270066336, 197452744, 776813621, 1019556054, 145531642, 641850930, 331430504, 142029648, 782779151, 892085570, 16668461, 71612965, 787287353, 257621623, 245694393, 229200809, 835811388, 5773568, 858485577, 499838274, 598760786, 397354172, 324616047, 520678447, 743731390, 614106151, 441230878, 627521840, 33631094, 33624426, 60684536, 636359249, 226790944, 276089965, 152270828, 418280540, 909808056, 986658850, 263614695, 655686342, 954047247, 259313837, 968190971, 86948939, 1044144995, 815509020, 756867395, 204766473, 25581814, 211524104, 324766792, 623172656, 361302397, 476190420, 476887889, 121217340, 222762115, 458774648, 401743169, 527860093, 144570497, 88835298, 408738166, 171395453, 563553167, 189446807, 476609035, 374905476, 68941800, 275190240, 152071672, 735728702, 393064213, 565416887, 39795687, 164208494, 922342943, 564122173, 19872276, 606726017, 465379023, 238661771, 252959397, 105597902, 305971476, 751824833, 340310854, 286175236, 403907513, 69058535, 293917628, 634919155, 225503620, 538500383, 1031343100, 1061182922, 898017865, 429242545, 780693681, 438704576, 376665052, 531753916, 366284893, 776624609, 487357301, 404208473, 699481544, 937597144, 77650427, 596380243, 958130675, 880234566, 382655005, 833038827, 989575590, 18119240, 426299496, 44604967, 819161025, 286422517, 338625129, 771642433, 860463564, 397937349, 318936291, 953972089, 1038050863, 846692933, 652572665, 382394799, 795815263, 272307874, 882546824, 458696268, 25058370, 611849577, 19608047, 807843056, 780171254, 580722785, 706932007, 1000741452, 642579716, 278598676, 1018241638, 1070983583, 571153624, 971989755, 371083242, 156813001, 397582275, 89688863, 156385201, 251414817, 1062424331, 540962915, 199700001, 997849326, 43295605, 332446755, 814040426, 303313018, 858504172, 734317915, 20914902, 269732390, 755841037, 567978540, 148666719, 820908887, 142110279, 322584715, 1028422912, 780765011, 849245330, 643830901, 58839589, 957648893, 912515354, 615030261, 842250949, 1059445737, 150114799, 199536733, 481364080, 465076946, 994740460, 994676141, 128970664, 1002321184, 832683216, 252884637, 714594862, 720946779, 216691449, 943736770, 183655603, 724495009, 768787307, 491489839, 932618730, 759224641, 339965285, 1030249383, 1004945653, 353641715, 156950192, 915925157, 1014300494, 637651964, 544341207, 228968843, 292251992, 991278365, 624048544, 632876200, 1055091238, 818375163, 754755728, 695434080, 709881875, 1002584017, 1027817726, 112752314, 95085172, 556201172, 456819952, 596541249, 727912044, 617218625, 649719449, 630528649, 974373621, 820748089, 706712310, 532111234, 326914779, 348446572, 988004086, 623115271, 785154623, 145536409, 130291161, 706166447, 752118111, 1029556016, 999332994, 509290786, 461090316, 665406808, 310075552, 497674579, 280850411, 755394383, 69364433, 949688308, 714332276, 7293493, 330302738, 30305245, 307408033, 843771995, 883011743, 824946027, 526317865, 426911558, 804696676, 439323217, 962292438, 686485255, 287457667, 104553915, 302560013, 368285593, 394042887, 881027697, 259969630, 373079566, 164512349, 354170734, 573870935, 605850663, 704457057, 976343587, 199411177, 726783852, 693074819, 463331443, 674594835, 1028767367, 462134670, 819259527, 600289959, 708419150, 59239795, 693471739, 907674165, 306163355, 162329994, 721725670, 548276588, 301557747, 574074487, 970808706, 456795924, 73823315, 495316311, 881592158, 954316385, 832809024, 22675865, 367781212, 877760052, 1068003665, 834908625, 692887191, 358903232, 1069255793, 383117851, 715946104, 1055400709, 167364618, 609430938, 303684691, 255118376, 23070290, 284968063, 361029137, 558641794, 980446582, 835702103, 236069898, 545225848, 352773020, 376335222, 145339076, 229220534, 304475098, 884036881, 1011661051, 15088216, 115276570, 671780389, 881102691, 795748573, 248749015, 622381439, 490243078, 713117878, 733474961, 1054355317, 597879438, 76156896, 117591301, 92190008, 674221525, 180064310, 801572550, 428589507, 288744366, 70158512, 350651021, 761093079, 186795041, 259253494, 140759621, 760626338, 993198026, 535336785, 693543603, 208647068, 761667518, 828391115, 415873655, 221944407, 251734977, 181231728, 532892116, 938589683, 461202965, 946211584, 780607636, 9555632, 328013338, 1058748176, 910524225, 415008693, 909633288, 537991463, 1013352895, 196740046, 851319673, 535098054, 898243409, 214687263, 235282036, 1008586301, 500684478, 474117475, 512496447, 666858508, 135540296, 113532520, 989106451, 891224653, 351025755, 196803540, 442603740, 397984592, 328134874, 10488512, 83148895, 930003787, 752105107, 861154883, 501050773, 1056397038, 453901922, 962715661, 909222498, 989169286, 493343902, 143491035, 356520224, 1068352839, 587534239, 280466007, 1020454583, 931392174, 32101875, 28343609, 458899934, 672139987, 309509031, 228718008, 123579023, 379977860, 493026112, 788060598, 77502834, 496204503, 278666347, 977888420, 994412829, 820413944, 888339727, 564531214, 679182461, 1029518780, 1053774775, 546489374, 479783426, 584964723, 318207585, 29473868, 127623284, 553734582, 816585904, 982582186, 826375471, 978073121, 806844566, 773080669, 836568434, 520456653, 575959061, 867527614, 700328356, 556276960, 99065760, 1019495791, 7036339, 507676540, 214049457, 912110710, 35720008, 1046137620, 673540214, 1058553963, 968654109, 840188236, 948151828, 662555035, 587607632, 1048404244, 154346470, 812823281, 683261996, 44420883, 398866490, 758642822, 748965585, 163029300, 271698416, 213045592, 137519880, 30993552, 145941510, 861542387, 411913296, 568324896, 273320245, 158284869, 252681241, 848317254, 1071789728, 211812257, 183081814, 729464911, 29405434, 843251481, 47554645, 254794066, 391258455, 956708488, 1041698229, 281839664, 261707665, 857411813, 332728397, 1050632195, 297699536, 352300427, 190716784, 1046648200, 740073344, 906396695, 60488121, 7922113, 501987715, 665817560, 1016161524, 131781124, 280904744, 629665221, 296331047, 285419898, 313561169, 1049236029, 893962262, 978570813, 572581606, 519470137, 851141562, 426324933, 253765176, 901560248, 546311115, 481994504, 96065497, 66702277, 801845585, 218136598, 139738906, 1018769684, 91059886, 349903399, 79999114, 83106473, 215977738, 907443564, 661379187, 364095354, 348707752, 737376567, 1060440414, 587521609, 6270401, 607084761, 273224477, 113305046, 687517995, 514764798, 691806626, 256122212, 81839302, 635013258, 1065023628, 643211535, 793976714, 1020935728, 645922473, 272026709, 530173194, 730303328, 362002401, 42602883, 539073895, 481526322, 36696435, 512808127, 724068637, 958354134, 974644247, 797153726, 441383944, 755038660, 969347661, 787040257, 776207977, 373171249, 830743687, 909873548, 738541368, 957187762, 785256781, 994993388, 120076127, 46998634, 556037928, 542622626, 662872778, 399714167, 201625746, 149431889, 346190055, 413129642, 334521, 266852880, 912855611, 363332891, 738334281, 1018962474, 967790097, 843665354, 220106131, 144682777, 885726165, 962119863, 228370437, 640887224, 550749111, 908954796, 872610672, 371087407, 712725644, 721873609, 996478296, 548476330, 1057395449, 288904274, 856321605, 1003873226, 85665379, 403689380, 551937789, 906485038, 84373352, 937961076, 876237904, 655824722, 617230900, 641201224, 853931727, 142781760, 350463705, 1011769507, 660088474, 852387600, 864245985, 227253222, 96436481, 796807839, 750075048, 214279589, 665373846, 443704594, 8343699, 750161409, 235750589, 599228445, 966185746, 31300890, 46349046, 645093444, 559050010, 796608096, 488943140, 398190855, 469542510, 18353312, 682951798, 760767925, 695150700, 980933598, 870329089, 681081959, 354281641, 200013532, 300739504, 641262166, 12807600, 741017120, 555644907, 268180089, 888630855, 494061340, 280425781, 296560127, 146685685, 962982271, 627610728, 419110836, 862715680, 439552604, 1002507695, 365318430, 581064756, 916489311, 473547842, 707814138, 876158658, 324958343, 697854530, 242430153, 914054183, 939454269, 423666409, 1013996555, 148089561, 214807138, 33893834, 287414489, 786840526, 120911547, 346432011, 785706248, 433104352, 1068665772, 652875171, 224503195, 50254073, 228131234, 1015808025, 984053082, 409287575, 848167988, 861183277, 285348743, 728432876, 499482970, 910426065, 573209646, 411739298, 444642065, 42909658, 614667357, 479316601, 283997356, 318801391, 498258542, 725540840, 1072748889, 285901905, 129856799, 755629370, 108613841, 485368594, 490341920, 735608526, 508739672, 333370271, 255236193, 390135045, 883544878, 974056711, 509230847, 400002937, 1004741679, 171628891, 202569508, 832644484, 313399930, 486929461, 544865033, 127834970, 259954154, 1059553428, 814007346, 645595454, 494683124, 987679770, 581197360, 889296410, 593684290, 840544260, 571098908, 306165654, 169748881, 391963210, 763351555, 510001152, 922415651, 889786288, 625903180, 952248334, 30407660, 189367137, 490075315, 720410931, 502020495, 561739389, 551358973, 543819984, 952187358, 752858694, 334399043, 616521972, 213864334, 659953355, 213608302, 18437408, 143730374, 505894248, 384318244, 949730425, 556005620, 787934214, 416700011, 333977057, 511609831, 443676140, 120662836, 856894577, 960703677, 465363184, 492378324, 719689506, 168727828, 192157663, 889598216, 864064053, 357094017, 659937726, 914521412, 789937539, 963552182, 360075944, 589925371, 650657965, 996689663, 270505199, 447014696, 906911806, 1011390925, 847811152, 783173979, 675360738, 117917089, 768998178, 307602734, 1054240662, 293382486, 252875220, 810741907, 468253675, 223427234, 943696292, 961968275, 333431058, 118090482, 1055134303, 194404140, 308967013, 933880037, 464564527, 291850410, 169391017, 882869301, 737060160, 126911085, 6125051, 672178802, 574147077, 993482167, 740169061, 474441987, 260149880, 60410291, 370702947, 109901977, 884886982, 496925722, 251048109, 284180390, 374110179, 344612401, 619939668, 238602602, 1064359370, 422947153, 148075781, 270017995, 602621876, 834842594, 328723378, 103897111, 436343884, 853459595, 383256071, 99418551, 539042512, 615685484, 1022101266, 741390101, 530192222, 209567894, 227823314, 62684441, 976622160, 174402073, 707390183, 346280695, 808925440, 893228454, 253620289, 191906831, 429134598, 761815175, 989523554, 379205060, 221339842, 756205768, 605166180, 417841693, 416275889, 261070236, 941901384, 493009341, 612363994, 165511806, 966747885, 110946941, 606980225, 958756834, 924515862, 92178880, 66841563, 602597575, 115454197, 423443075, 655053097, 891580154, 93713508, 161382196, 386902053, 675492675, 4553018, 532690598, 385978091, 829894191, 413854551, 376914944, 197855687, 830503714, 237505819, 832686449, 853332718, 992765319, 628804750, 835589685, 841586947, 647601723, 728629359, 140519587, 569027687, 825879303, 313110100, 66776332, 691945010, 800739566, 218851151, 325403612, 28485096, 863942222, 930971929, 378551253, 453945121, 164375907, 891954251, 1032819343, 535810830, 112411836, 220039712, 201651980, 781799102, 377159875, 820474199, 961217119, 389232621, 57546090, 402733946, 275790844, 177943574, 440318831, 565221749, 1040155222, 755706921, 153810358, 82363940, 914305263, 604794794, 725320291, 923958970, 436285206, 561612386, 7126533, 396714329, 360072653, 113171406, 564656080, 1041188905, 725725184, 23961974, 375810966, 413545262, 480935721, 568439661, 706605521, 36611922, 230696109, 736375341, 117464616, 832936922, 834142421, 376100079, 1035824474, 1007734156, 851985572, 488652888, 988487146, 842103885, 790635983, 1019381065, 987544912, 990976477, 326636753, 399338984, 1063985405, 237169316, 755281187, 304127290, 430007862, 278966724, 432582598, 467680818, 137375378, 653431665, 834304708, 230244356, 28964455, 739087200, 559496944, 266406285, 84045465, 1002117564, 809918309, 437956002, 236730425, 591605307, 76759656, 129867817, 982924640, 868260527, 579140216, 431818871, 113652032, 371517979, 552695731, 720059913, 125200729, 967164648, 938339615, 37021914, 1001884750, 695562304, 416764246, 790769322, 1052120462, 448097568, 828070935, 65382746, 536028268, 323785304, 683470137, 383309701, 877253369, 570002316, 6790250, 726038569, 677803048, 903036068, 773779489, 313683728, 471512452, 422880615, 691907, 708427831, 327134232, 965570695, 686693671, 1054421540, 194669314, 361357558, 1065147245, 435421738, 238795126, 540213538, 17051051, 343011862, 953451355, 505159751, 561420102, 319966496, 930786562, 146479594, 299331034, 760168059, 317821011, 878499134, 973478129, 650860965, 830063396, 966710997, 550460370, 855752113, 427549887, 265290442, 112620706, 36767428, 374850495, 779788400, 494259562, 841185881, 743764698, 747674, 832022074, 936886842, 120548788, 837541636, 635174165, 57655769, 552672502, 570826418, 180148435, 494842216, 536013719, 838392264, 427197594, 191483401, 380232238, 279554346, 1042830446, 1015337701, 1024604636, 861893888, 705081429, 344171550, 1038171355, 458573562, 510035271, 1013956847, 834090959, 187747187, 718639321, 286036637, 256994752, 118594143, 602903779, 161171939, 311074753, 709168187, 863961593, 161194533, 242467248, 482414042, 630891830, 908615423, 596796111, 972276721, 1047128018, 363363272, 375948657, 1009152239, 595743598, 787338257, 790690056, 318913892, 1034529343, 212730556, 636768533, 398608779, 405634417, 968205734, 355277814, 984284665, 763886721, 166888405, 809200625, 516927454, 353390921, 180721270, 340498309, 109721269, 244945693, 716006865, 866586982, 344459283, 945047639, 654063631, 147371823, 957146445, 431318737, 391988638, 153556252, 617594024, 148813090, 107256398, 1071995417, 442802295, 611495254, 463302981, 52943170, 976720150, 80139266, 390422211, 1036374840, 504576525, 1062172694, 857203042, 445919798, 667564968, 732125669, 279443117, 493340681, 747575992, 1031520237, 251770250, 571064455, 605190797, 552691274, 659647106, 34251841, 634776538, 719462802, 45037721, 497371202, 58428984, 453953704, 693533248, 722638760, 932085123, 920119383, 663998955, 948761658, 375077790, 579486062, 493816435, 934878095, 797611639, 231390247, 473981652, 900144844, 763623648, 686171186, 35279576, 561146452, 508935793, 1014827316, 152267979, 917900038, 72542267, 801608457, 548037089, 813177494, 182191596, 311564891, 740289342, 452639448, 449511523, 310594320, 147904239, 284105152, 197452358, 436163895, 5861195, 39136217, 787853536, 526466313, 993780547, 100816064, 160123496, 1024110156, 274427622, 583448548, 493949986, 317840188, 141563332, 596599144, 335720152, 582333711, 655673494, 870932444, 853541963, 369169715, 229077452, 1020736543, 377177759, 563567303, 41887494, 150961450, 1069056544, 150246246, 392499771, 930974985, 1023619836, 815589391, 911188917, 145777395, 30518272, 711032531, 194892684, 516607891, 418267738, 415218691, 1052745810, 1021833507, 961937850, 505704587, 880005253, 380785253, 700878967, 791024902, 40845241, 363435109, 196714513, 1053656169, 856891806, 969986048, 765033148, 810740077, 298918121, 870782573, 810041628, 934664563, 125992237, 817237489, 1031832095, 292812487, 617856900, 251614149, 686965590, 573932482, 591812047, 664287602, 505411430, 71854191, 309541154, 915547031, 158696854, 452117787, 263731953, 753998009, 558183626, 259299421, 134911818, 504336056, 144185914, 853837926, 476331679, 1040643653, 72703126, 578114180, 56802108, 313302921, 114032172, 614709305, 42509000, 72214984, 574496143, 158827095, 356241158, 881074800, 984449520, 473104902, 491822800, 556578312, 451883836, 316918365, 19679541, 431320945, 26487862, 299128915, 488105485, 206988525, 435571553, 345281914, 347704153, 690594106, 865672781, 638300764, 627947187, 221153665, 347934452, 516947778, 19764178, 742105835, 508353622, 422243482, 1016390430, 94852554, 653567824, 588442848, 252176260, 732480598, 413212621, 675648972, 877967009, 1046294239, 463903240, 307759998, 1001944699, 662279206, 369479113, 731737077, 1039632164, 472310690, 204172085, 474014252, 757212647, 531222917, 643598721, 985425978, 835767530, 831613698, 852450897, 1052572347, 29177276, 333372541, 241944902, 243243390, 753996870, 417518753, 143561837, 1011574315, 515636596, 607882841, 643596466, 762134855, 837542669, 702290639, 426904592, 475554399, 702497102, 119752776, 285918032, 676359856, 211281789, 144317317, 466799496, 802563277, 316198051, 402252423, 307727082, 774535206, 46167086, 992807953, 1001100888, 28181670, 430935369, 860494710, 408552033, 133481094, 520446421, 38212941, 575723907, 248465375, 826150878, 505568357, 780780154, 485110410, 104074407, 514579726, 14183951, 443561798, 313651091, 958769160, 32392685, 110291223, 180108722, 205618263, 148202671, 798689288, 398326295, 411975584, 630020800, 207635003, 798251872, 1053099766, 100438897, 869876646, 541504355, 1017875458, 592440064, 194695462, 672849197, 1000222622, 924702856, 301586890, 664995055, 277964872, 538061704, 330228135, 1052554699, 722825111, 905281906, 141400273, 697712617, 1044757701, 974766676, 74862836, 655522352, 840484654, 746649145, 833356820, 989719986, 531772332, 218821060, 378037017, 315131344, 336700192, 234642015, 829048002, 188481328, 96249870, 78422970, 108141713, 977012166, 654591108, 193223113, 767137022, 642669778, 588214208, 43284821, 291160711, 500237252, 385549069, 883861578, 184553893, 119163488, 228300444, 634470684, 985969547, 161576649, 945567045, 612396570, 155711511, 232232367, 872184576, 795595488, 58528084, 727855198, 1013772266, 837854111, 339153604, 1017562027, 831013244, 821390030, 234133498, 1028771926, 22232492, 910031396, 414759189, 44485814, 210331741, 85010863, 488890313, 891837712, 456493982, 1011749625, 103075970, 523789463, 788961907, 184249930, 42332175, 546823475, 232646138, 907462578, 508972083, 163049364, 581437641, 308440486, 146083369, 609664198, 911343495, 891796294, 676846107, 563386134, 401801040, 67121770, 923176721, 922112939, 125421051, 35997731, 866217367, 710421383, 127259811, 520883527, 902760406, 700582518, 26054488, 212285362, 356866010, 930766348, 1008325273, 405003719, 918729022, 1040836300, 270099895, 197837607, 951515360, 316238598, 767768405, 991816931, 926740187, 486071164, 991255000, 354198137, 968730493, 254303493, 705838818, 257177277, 1018659992, 443999620, 110586053, 56791221, 342969924, 1004600650, 1003377714, 869812536, 58839209, 715220223, 492135046, 888385926, 1042376284, 243829969, 314029285, 994807186, 536029455, 258156700, 546623363, 214785579, 1027167626, 664623154, 138649618, 631799371, 380741191, 317888684, 21127547, 434866310, 662964845, 1070887623, 346746528, 875643210, 45714182, 253104286, 631325487, 84655248, 937272133, 732162501, 397163074, 468447255, 663237889, 307528162, 105971017, 694242010, 1066148655, 907294719, 449753220, 652643582, 454881915, 910353655, 340492980, 307913397, 537891816, 558510592, 770525160, 835497279, 1001753606, 518736973, 759664000, 273848005, 796447562, 769857023, 904076603, 5511039, 890664047, 395442410, 505314946, 173299311, 986540393, 966572439, 67833244, 389669820, 1065908877, 86586992, 954033922, 238311965, 639506217, 454042177, 424915343, 868304076, 14748518, 414496671, 870678012, 30199620, 290967328, 828250669, 352305372, 39176320, 581303722, 397023575, 926797771, 194763370, 818239393, 958292257, 905659430, 562714659, 273036716, 359775123, 846361482, 1014171633, 814007326, 899478639, 934832684, 1008479784, 810882505, 219325093, 405987300, 997273149, 637730996, 283950645, 662961478, 894853884, 69624945, 910357241, 1059588571, 1063820224, 71118592, 311283737, 695899873, 162473837, 335770829, 53484429, 197702375, 809122937, 479862356, 862444832, 589592617, 437671472, 386159991, 449224177, 390112915, 335120360, 303850879, 145135969, 238545396, 787769930, 788486867, 142775013, 284824215, 87130957, 986090402, 352114879, 635464344, 292838542, 135637521, 140859769, 608193523, 705543601, 1050856339, 743753698, 280037571, 828600841, 879714632, 922628308, 238531838, 493654699, 163455528, 724174811, 967760074, 89324275, 175114417, 709449939, 816092515, 164696945, 271779582, 1067353587, 467897194, 505127674, 436438394, 401340405, 128331018, 905301404, 410328281, 408586533, 775312843, 920523800, 698668190, 101328696, 1040643198, 869180347, 487276282, 980190805, 300529491, 248878557, 352702360, 547115426, 315732268, 781702772, 472911864, 896369980, 734441374, 943624272, 337219023, 222926468, 696399921, 18405170, 752559013, 530777889, 728313397, 59608679, 573555416, 238647461, 249912459, 983919478, 54813215, 872446914, 202591932, 1057389316, 876704908, 875404029, 251628766, 703953349, 427586943, 488009645, 719564545, 338332461, 602525173, 631936295, 434051925, 1015109556, 309185085, 959721173, 816766299, 433383450, 919862231, 979542042, 938147559, 771614265, 1004755433, 411995862, 1070564204, 1007822708, 920071377, 220319063, 831581382, 762342716, 103798583, 972089796, 1065870968, 541513505, 562899079, 882162761, 482757399, 887228540, 485359491, 614208960, 192685632, 12437200, 151066111, 815310191, 201936453, 52243368, 1011711601, 5931681, 31637884, 405931913, 875046080, 1058582307, 605331994, 485169969, 187699048, 566687902, 1005535774, 482333258, 283169798, 394739180, 285596742, 198413924, 547169735, 710789821, 697207775, 772193502, 753335412, 572392132, 165348259, 70615120, 513795675, 448710622, 350174722, 1038886302, 332095472, 734162614, 148545826, 157168990, 284550925, 661688468, 398039649, 797533079, 797403809, 902718683, 875168399, 653154301, 333552929, 140918512, 191053317, 662210337, 572749647, 211803681, 906751319, 685642352, 241740880, 823909543, 391595343, 72755285, 496201511, 53775947, 473326334, 478893740, 979388472, 495509079, 279437700, 13570991, 164651322, 22628912, 426126109, 615526754, 227084617, 630874610, 177704847, 255139735, 551029056, 2070340, 747531010, 1043311352, 201772116, 906199579, 100775679, 529944671, 93654990, 227672859, 133091935, 721198523, 25826850, 263224614, 833507060, 891985843, 730083228, 369111752, 570488310, 1071026688, 1002655281, 314154991, 360518024, 197125754, 765001294, 5066627, 619780297, 27206727, 254418521, 714010449, 371235097, 579895222, 636785370, 760607698, 817786251, 700194871, 33064491, 9034527, 907505358, 527657837, 855230685, 928670564, 480194430, 147036069, 894718400, 832184205, 283918095, 884790911, 38422578, 259134075, 827341648, 2678042, 372978187, 983670824, 129997425, 112153340, 340843021, 66414294, 798003709, 380165522, 331036984, 368014578, 158269107, 674349752, 37016992, 413155953, 611229019, 973036432, 748915769, 38176891, 912229205, 857212333, 750993950, 463042053, 184361282, 354379256, 660992849, 73436491, 260293281, 1034842971, 953773706, 11504782, 255695744, 403359573, 209967123, 754191232, 148030426, 546478598, 420146481, 764464181, 526752821, 855389325, 822444011, 369937989, 474129128, 451101391, 542821102, 432045303, 182001496, 330982737, 707022246, 125344579, 778419273, 423137793, 32692686, 220752882, 546699025, 549575629, 378256547, 512051291, 154921749, 547833487, 305444026, 530533074, 652549867, 793013930, 985842266, 330316958, 239319608, 487046221, 450410020, 377807659, 840531230, 341567906, 1028771966, 211109280, 257322536, 194914074, 845003423, 628885408, 1057601823, 418660878, 52515698, 729052032, 441309691, 888510351, 861200879, 850726449, 961969069, 535827368, 1051241999, 895557894, 316774881, 558987586, 1016821979, 709838066, 185144947, 659120384, 929306480, 589038774, 813087963, 414485260, 1069745496, 659358598, 73181648, 221465903, 1047322510, 254137676, 398550114, 920582498, 514866669, 820703560, 976622309, 1026993902, 644940946, 1015520347, 533945111, 1001251166, 198604965, 230376329, 363143171, 385826567, 557163733, 374850568, 81617364, 911683215, 476558471, 283585739, 55276638, 551151507, 190036996, 705536843, 220032146, 546607335, 935237824, 253327756, 565758216, 352856016, 419282560, 702810460, 145072051, 486192389, 776187010, 337216933, 457854590, 871752598, 843161423, 710270757, 760326651, 275238153, 982860277, 287617194, 1066310078, 551643901, 149546434, 982651065, 150257255, 153994941, 152147579, 625639182, 47701002, 650661957, 1043729121, 815755779, 1026019837, 758779767, 799214987, 361533518, 26003929, 318453545, 197824767, 544754155, 212991295, 805914076, 198832024, 789370325, 31502616, 436265388, 62238982, 437792789, 124558100, 1063173912, 26707209, 714642632, 49119016, 416438346, 572776629, 599040592, 1042371623, 13658076, 623345831, 373448425, 981977905, 806926097, 712051627, 59924935, 769206923, 303118232, 346283649, 118292910, 524635694, 331587593, 49089692, 885405915, 238533577, 599243578, 511184919, 890708408, 627294774, 120437860, 210002899, 1015346396, 1035822377, 781622358, 218876111, 916238144, 751933336, 282564000, 72402761, 899391883, 940529489, 199958909, 35173144, 395322798, 276478352, 1223389, 41306303, 1008097684, 63703188, 859158150, 609906436, 715987925, 359654981, 219699678, 399833033, 558494470, 583322121, 851125596, 371145692, 154695210, 1011379086, 520001232, 920857780, 928739334, 543692493, 1044018153, 134947637, 948298290, 878896009, 267788464, 906055591, 762603512, 253221262, 986133054, 835622468, 366438043, 776694340, 24062322, 406992796, 309234930, 699528355, 74339927, 103568681, 335200563, 482681620, 942042148, 735174080, 215229300, 590428073, 754940664, 466520929, 173577994, 219405644, 462892796, 840294251, 894827640, 421608954, 565462344, 399868105, 243031533, 1062369551, 37399906, 769095191, 582262667, 993734093, 222486796, 750769530, 529350538, 505772854, 832930952, 991893491, 1061008825, 375565658, 197434438, 125150565, 303159296, 829409071, 1071183717, 854363193, 589641293, 96224487, 933757120, 800106783, 110856163, 100179961, 762932363, 878447968, 797893529, 156731276, 55527757, 45273696, 1036569663, 814058163, 852492407, 1009346890, 869847664, 212637642, 1033186231, 358439830, 310097742, 780125629, 163603047, 429202832, 849476, 171513808, 350862339, 435671249, 937523732, 612670733, 654215872, 772543902, 450668385, 459540300, 912897318, 790297701, 417903997, 949228037, 65792684, 553026618, 986470182, 658698128, 760718263, 22082182, 479959339, 37559422, 557866975, 659197929, 685782230, 175012352, 755627667, 921619710, 413413926, 238819755, 90557150, 604542378, 726498984, 291789702, 253783225, 345843938, 150639423, 56666481, 516588437, 448706440, 615760164, 496126145, 782624691, 72113896, 68310232, 994950477, 940182523, 873154189, 342962724, 699351077, 178714612, 784894950, 285507882, 1018170540, 740916953, 307808834, 945234050, 601256792, 209861172, 261820967, 382943628, 471530877, 1071605980, 823050706, 72328250, 209815492, 397584975, 439694545, 415116240, 786578971, 494243065, 120425282, 976711999, 123615802, 153349457, 452684480, 370925348, 796561894, 964324609, 730518111, 629820694, 125094194, 241457930, 437990165, 847450694, 735506110, 606419871, 555338441, 12261842, 678767587, 859009719, 77836264, 87692133, 195661858, 660789915, 1007176664, 64373220, 665909094, 1006744190, 347156128, 694182608, 986933207, 359644288, 261036659, 465793793, 414612792, 100795438, 800678261, 25089610, 542189547, 680308616, 149631986, 864499798, 42046985, 258813489, 52201486, 1058042900, 240774435, 876788333, 35130845, 1057581546, 408334016, 10788716, 464863049, 149865170, 10637569, 789259767, 594185915, 494197015, 656465196, 488614183, 900434515, 352369788, 134269995, 445043359, 910222273, 943497132, 233624495, 679997216, 469477936, 1050340144, 393867143, 1002531241, 300755333, 407399748, 222144222, 391100324, 910965073, 518638729, 90561925, 1042415816, 460603211, 1071258029, 786996267, 803916941, 516342050, 11590402, 758745328, 729597660, 591618220, 317783466, 666719782, 108410772, 585290352, 890752668, 880441787, 957040682, 922826181, 97358075, 589953345, 25315590, 60284322, 433540309, 294676546, 347345207, 1023492137, 53234569, 236564399, 117504736, 535940824, 1067654646, 421557321, 454525551, 712616672, 536040254, 117293886, 159170152, 976997757, 86647249, 315030182, 301917913, 579749451, 467265721, 747438766, 940874715, 64627620, 992018881, 447361379, 379691742, 981226266, 1072362503, 254569641, 492987975, 307211762, 581011347, 963341009, 303516927, 532326694, 243936395, 584531162, 912814509, 193996852, 147969090, 582285246, 778287710, 139125647, 503077500, 644261284, 4974267, 316313150, 1034959909, 1040836961, 621238535, 336168340, 331658259, 311741352, 674045794, 577619266, 661840999, 505759786, 564644289, 523161700, 566343684, 189319056, 108788225, 609293885, 405403816, 260440280, 993789616, 1057556740, 547640597, 711869800, 833495257, 384485955, 461698750, 275329698, 764147752, 203702886, 137327222, 217844542, 994603339, 56230102, 29791438, 731943737, 30599845, 1034452088, 465590320, 498623735, 275719927, 711729662, 73697704, 989088162, 140421944, 472595510, 351142141, 115239834, 91267623, 170146613, 830909279, 213158605, 399056339, 539252042, 976824952, 654808142, 120328750, 117362001, 132494840, 939298836, 764503828, 285161312, 134410621, 759735328, 859026107, 140785530, 305185724, 747104614, 295425177, 828401935, 509631594, 776649527, 524331988, 804787196, 72180621, 901346804, 910977573, 1028501924, 974595195, 605186522, 806946139, 385097051, 937283338, 348207866, 364906940, 954139634, 827081231, 239691290, 782699209, 284991473, 262113861, 905085489, 567147930, 618864917, 744050163, 570262649, 993503227, 958823894, 560249390, 531867942, 415253112, 160549350, 925335025, 1069882713, 161206448, 444005726, 384122668, 810073711, 753975241, 413776228, 594554146, 833566527, 767030808, 489064200, 663395720, 444766766, 891967683, 472529847, 73378035, 575931535, 806905811, 720944357, 381731882, 694742987, 675802515, 400510130, 314320576, 490258390, 1051341949, 297553895, 706898014, 746605801, 821847725, 101731807, 405326048, 671365257, 606612793, 886371815, 320492679, 791109290, 191945672, 87168442, 917102072, 380463416, 533980024, 56638564, 154207087, 1010409848, 187602132, 44275032, 1040026058, 698613259, 800251144, 126525903, 739708075, 352201109, 1026359509, 564214781, 875463077, 110474102, 435694109, 579182063, 642562294, 18074431, 265704257, 219502960, 402774781, 495070774, 205207920, 906131922, 463680945, 951538472, 592844488, 467067336, 1009045257, 730270015, 471703028, 717998337, 314074892, 493961855, 852329576, 424013761, 993053708, 806379957, 133703211, 13943245, 779411609, 113601979, 303702614, 399148864, 822405183, 1058105377, 931933920, 1060816433, 88819733, 742289170, 983378090, 428171319, 563243688, 852500955, 864301277, 442018463, 330067249, 123177845, 161962672, 792948427, 883996822, 220512355, 886253814, 516070357, 1069315928, 800221151, 780802381, 524835089, 632652794, 4536279, 530339806, 731402980, 1022422474, 776193598, 592575528, 985589973, 1067997763, 908406459, 603727159, 991543602, 75864339, 1044268895, 550922903, 520753059, 342607513, 58026977, 445293910, 58955024, 679811207, 120854883, 1043135685, 585145338, 22014792, 873564061, 522372355, 948131790, 777555550, 62334392, 69203851, 1035130397, 700368046, 560708556, 1049579376, 825140922, 558451556, 1052123233, 882424167, 172543858, 94532851, 14211260, 296606618, 719957611, 410905327, 784188306, 604286569, 601461384, 485146977, 778589864, 824337388, 1000230068, 556208239, 670667610, 389221680, 291146978, 620036982, 996986459, 543435013, 418927236, 502895524, 507230624, 947287987, 673130422, 379618670, 614687004, 782334903, 441123586, 920575407, 395125533, 623294637, 791069636, 142828553, 934695853, 785798151, 626979703, 191144450, 906166484, 958438768, 493658572, 565855880, 349667101, 113745331, 91106279, 316963673, 911702159, 510792114, 237381784, 59298534, 616829639, 810306542, 518732494, 848113824, 232294308, 781820574, 169698342, 83893607, 31895930, 67251627, 367963951, 711617542, 107445862, 560665750, 802947765, 592645045, 1037161133, 192135058, 763544502, 788885999, 580683539, 318662000, 309614278, 266518733, 510194341, 886854624, 631863607, 115977148, 91180928, 391290226, 1036239236, 571251992, 329354165, 619774525, 909389912, 114956114, 833813516, 583764952, 757467818, 660316585, 787688426, 380287750, 756323700, 383076411, 756513322, 50749030, 751405003, 127827240, 742693702, 565284424, 748148838, 944421303, 33680633, 1017446137, 387102260, 621054109, 644124951, 257523976, 253504894, 506243803, 269811912, 160808321, 552318204, 60335171, 56615934, 693464892, 922539980, 554456661, 992095432, 528411446, 995972211, 711552346, 1056329725, 555892003, 362017207, 361390181, 112470316, 927546827, 807337710, 719974044, 1068920540, 390318441, 543550033, 237653811, 611763670, 97697260, 335761096, 619120784, 763095442, 203836594, 642818123, 755242996, 497699123, 901892023, 44398937, 1016626768, 7833543, 192892991, 201607698, 830654512, 460334375, 205221599, 605991199, 585047497, 376497701, 826944353, 671135124, 428789152, 493994937, 454326162, 468361835, 225246993, 349311292, 59057256, 627068661, 273253329, 482234822, 1041166898, 345129980, 640184430, 455119604, 1033470921, 400769039, 717089189, 8376226, 204823351, 753378238, 207387405, 506230710, 437832539, 785680781, 497930890, 483471133, 170724850, 315019767, 859721794, 650179448, 342908940, 185046201, 249842547, 88275411, 263628419, 571933730, 945568435, 134059755, 817976228, 218011458, 310075223, 271424049, 54669720, 402432623, 127912111, 268949390, 131473616, 763421038, 860193148, 1001730333, 626894460, 528332726, 611374125, 680884774, 932247604, 873828711, 241298722, 1031002542, 875777469, 395219310, 356434994, 1056002006, 430416328, 494561486, 695907620, 792805246, 311876451, 60822160, 125139950, 237123814, 141860564, 227702645, 861982049, 1009314484, 544025600, 234806741, 280629259, 972812212, 227017969, 225623913, 948783589, 673472252, 965025771, 327420264, 378924910, 1040644369, 549595007, 156517495, 498959591, 668450896, 848994976, 46907847, 317847646, 610944128, 478088407, 261609360, 727153170, 52759053, 723476359, 267704950, 678703806, 859808616, 402867758, 625660899, 171173848, 1071132262, 693261682, 688642616, 170557052, 590234388, 1039451504, 630423361, 456602765, 989429543, 924940901, 950687408, 404935341, 131931454, 940888611, 748472693, 540633325, 974878519, 415131749, 433213688, 996823897, 304139543, 386318403, 598920309, 140213339, 837123518, 19358043, 360345977, 803603389, 217154579, 618811588, 747849301, 421366656, 823295238, 823081978, 965045262, 248384560, 187507068, 46651203, 332785455, 975343189, 83915675, 839710009, 695774371, 415345832, 517255532, 150540325, 370924611, 413800326, 19874824, 206710088, 772311333, 867369118, 740332429, 147117273, 1035325155, 753252255, 876605400, 658967055, 381664275, 466968822, 350977781, 854904824, 196300392, 549175248, 470576906, 325270971, 672131968, 590047136, 259997118, 307971343, 832961205, 625808339, 905860264, 151442926, 572648982, 53503115, 434070885, 404889074, 485457330, 596468617, 78214678, 876430134, 794479038, 481151494, 473108021, 236263948, 199616013, 447032976, 223777927, 572005008, 653217132, 1010288988, 869573484, 704970461, 818405085, 433566039, 594440527, 885955736, 222256955, 869582374, 235376066, 607420802, 263258084, 175588177, 520316560, 938175194, 1028586083, 998681840, 271374321, 474592828, 503716708, 489363200, 780428625, 5672396, 132070386, 457924924, 960325510, 135463414, 245615223, 718118547, 876873115, 1016787369, 613568447, 113029916, 896374144, 479028531, 708201314, 691849648, 677678889, 837395662, 791146910, 474836478, 288279130, 637229913, 886595437, 153941152, 174998677, 86985216, 448582769, 809665338, 1066930966, 313476803, 674176097, 996677851, 357880082, 486631701, 85190079, 826545627, 587109831, 1040531833, 328262526, 357218169, 75573932, 566903491, 443862183, 287084426, 536454478, 927848444, 140118613, 209652966, 435844795, 752452822, 801465433, 995848952, 939047927, 565154435, 55339573, 592849354, 298949382, 776525767, 813980425, 249508212, 1052269954, 928799861, 103505380, 592335482, 214653354, 156230937, 200261570, 477573428, 611220086, 374397462, 514232938, 725276914, 606343406, 1002365090, 805256345, 793793110, 579413579, 103430185, 583315070, 740298447, 81303254, 626235189, 1057255156, 1062949094, 162288551, 884700988, 61178157, 937466995, 326030287, 691808220, 891268075, 341115581, 141525022, 1034438071, 332767653, 394272414, 120943638, 126490342, 889719011, 217089928, 183350042, 626537082, 772042302, 802518664, 63283966, 915182449, 345459005, 349902245, 362239084, 964878127, 30386365, 648972270, 416333378, 304260663, 73659296, 626760357, 833054867, 880271726, 394571585, 878447577, 308187747, 963202397, 828588259, 750858582, 598432670, 671631051, 218884843, 740083692, 84158719, 946528852, 730383437, 1022995725, 180880128, 57512887, 1003774462, 1071974544, 504147964, 903382667, 812874220, 848416764, 762847579, 359516541, 1002308756, 354631869, 940944501, 451315743, 530091434, 1064636773, 55712741, 718811481, 1014701022, 945051323, 254107758, 521152603, 898952072, 458100506, 724701605, 202415647, 406767313, 906158378, 248912892, 554353380, 266917741, 744151490, 144535458, 463299876, 109453581, 324373069, 32067820, 692173320, 988258683, 165734163, 993026032, 565170184, 95551209, 272684489, 581998718, 66467619, 824807786, 495453021, 154752132, 882103808, 994954369, 220551451, 855137256, 386860648, 520472324, 112313152, 492672112, 359855382, 698772831, 364798365, 1006015968, 15326054, 384621567, 966771491, 395746429, 72360645, 764040586, 530007969, 782662096, 604375044, 469809263, 378903539, 842432839, 34185590, 586725232, 957977829, 708360964, 69377608, 446731421, 544070111, 1013677843, 812977824, 68051506, 15814350, 36955104, 854463344, 250087269, 978601501, 537492433, 714089744, 895872324, 204980536, 719168294, 90175682, 253892688, 726357765, 33438655, 828667523, 859071997, 170932421, 237116764, 948591868, 234461232, 1013943678, 663745847, 298602829, 405994852, 1062512283, 896829213, 705759759, 414398017, 5963037, 769030202, 251549732, 369228480, 627997658, 337566986, 656998959, 58237207, 110206311, 52630664, 103145353, 145914668, 335821359, 996404278, 515171184, 364730756, 877572919, 387544664, 887957229, 339626002, 631080, 210036255, 343014281, 734670102, 449406451, 99947123, 462081881, 638893081, 23531489, 92466314, 967688654, 860853601, 652397406, 482431230, 399481837, 183819233, 53162006, 714502528, 357112385, 240793456, 678053840, 627578341, 94485541, 758506690, 720360790, 6019194, 329400569, 183122182, 765185972, 120138004, 867944952, 64283285, 840933976, 100900302, 721453940, 837461578, 798048410, 720189143, 889908079, 899614570, 920301683, 121234638, 259764991, 52396314, 633902820, 719028480, 281443082, 477599454, 338647344, 568455526, 883831180, 567706630, 699052832, 230157137, 740262422, 845105935, 939465664, 444142797, 33011348, 700089139, 445484859, 887289278, 1029184455, 618420573, 1029541845, 191552914, 808088991, 423051592, 278433344, 670003107, 1005241591, 378968187, 567415604, 241107238, 86897075, 116211792, 902921991, 418996294, 958635691, 888988264, 543093100, 920566244, 338744100, 917809288, 685446946, 969151678, 382107140, 557766864, 68733914, 274454950, 975182622, 437709043, 654313449, 627510710, 388301108, 520034834, 411906912, 272679519, 465143792, 618400395, 413264313, 356211113, 261366293, 1069810049, 474837709, 756037608, 494713880, 214641497, 235932272, 274459867, 851884242, 152972361, 878891612, 1000682361, 755632721, 1005430611, 286902080, 506796276, 506774265, 357449362, 951560849, 348769855, 236159692, 709419954, 881269476, 1053192666, 518130139, 860211617, 418637034, 534622779, 242422205, 875192187, 647492679, 929715395, 755164346, 309662374, 591920408, 1031092197, 254667114, 555875212, 741814448, 242711586, 666020229, 136027568, 553486993, 7470782, 409135519, 1039042427, 946875008, 149530851, 1031218235, 90580128, 634645498, 309302959, 172098637, 700018224, 824732388, 8396710, 43610353, 430725329, 1037034495, 979432581, 559662653, 214285258, 580660198, 727509839, 960018934, 462682382, 838274248, 68917988, 630006517, 764462078, 147600054, 328704697, 903721475, 495764828, 630219124, 1072475918, 899474981, 274894311, 726812031, 2693847, 940215186, 519779449, 891704519, 864177557, 753652475, 896902370, 133465810, 545604738, 742332570, 1009096244, 25805174, 542389492, 637571177, 119552494, 1005371215, 308034197, 953233538, 981917013, 427956933, 746345127, 873287297, 71018823, 841952427, 582703579, 673592050, 335956432, 958402427, 299155309, 314082475, 417947519, 301330664, 1010283210, 243298941, 233598171, 123153167, 43606689, 984644254, 513558060, 817571151, 407183834, 560985968, 876989196, 653055648, 808193728, 303441126, 830376056, 750330478, 846323192, 157744395, 149443269, 804657523, 500926440, 393803766, 1054560626, 746856136, 539101528, 177000528, 294551203, 1035650893, 551964741, 501014546, 311297216, 867238636, 340937665, 125173631, 482982234, 171844854, 312871023, 770928851, 590784696, 552558080, 810194609, 874663818, 992755843, 701627572, 648191156, 738003375, 222651710, 330123356, 220121272, 378727718, 199676068, 283050131, 15797165, 508158432, 320608402, 310586193, 1010901440, 975752324, 285963627, 280746377, 177507331, 243676309, 45776072, 982678882, 769020413, 437170697, 723403536, 188131519, 980258412, 631120541, 1062892791, 440231375, 261003089, 162069378, 321735582, 278652484, 978696593, 508741413, 1043802016, 763638573, 812353771, 579815459, 369719786, 622107142, 814205027, 236753329, 587265393, 919774709, 600818323, 549735139, 267926799, 432902343, 83834934, 504279561, 661961670, 400338788, 673971733, 387702092, 223696863, 107358250, 319153456, 638962282, 882796530, 281265671, 498802272, 88368725, 754336033, 694143132, 211865376, 414029372, 893678559, 779382268, 578228551, 630742020, 235339957, 340088336, 361002296, 185209970, 513134859, 274248040, 83355473, 552140937, 5180615, 918245306, 122365536, 686154808, 752599251, 613955332, 816851045, 733490018, 907117366, 194592845, 912322377, 112591774, 156595923, 607497235, 648414769, 1060411399, 42031895, 671167181, 992104004, 365582525, 350030756, 102349002, 148699330, 551829740, 607008763, 615030045, 464632303, 822595773, 903553630, 718270756, 739594117, 371835974, 775450576, 272134113, 10091268, 52126544, 786176869, 38188572, 241656394, 429667248, 30465230, 759848438, 20227096, 863810526, 849536354, 561408591, 724930245, 853330341, 84053245, 28016281, 757681523, 956421500, 1058582300, 1014496187, 917025658, 500251010, 253019012, 157935252, 718197192, 313470800, 384175987, 116986965, 792107937, 940104248, 82668239, 32481117, 605988389, 131453458, 941969185, 691468746, 552938557, 150736972, 1064624841, 198353280, 313640630, 160487282, 429174649, 862761563, 963622502, 950173739, 208256298, 237445767, 528227403, 182645368, 129540668, 429503170, 425143284, 215361246, 81424977, 754556246, 560370375, 924963622, 751490342, 1056542068, 489432940, 359745096, 506298936, 787652043, 37680881, 758708228, 96539479, 579110793, 36491479, 161648186, 190972709, 40910852, 201205317, 638432079, 546952844, 996670241, 535650203, 681379992, 55940457, 545778317, 303391116, 38303350, 153863996, 247082312, 946792409, 963680232, 620487649, 666063321, 1059458288, 561443130, 302002469, 926286157, 445701144, 793666003, 406076508, 777351127, 622558349, 913873386, 163383189, 994225770, 680619060, 233306807, 950188172, 641127517, 495987659, 397124745, 1016619706, 626035878, 690929540, 649664056, 833825782, 749114353, 624638950, 269316960, 526921090, 462019615, 306857218, 801981912, 264698871, 898297040, 428846971, 543631267, 983679911, 892207684, 239729488, 732604626, 85091568, 858752293, 85067850, 472400446, 604043346, 558315511, 40567513, 67059541, 982765376, 1067076948, 902288218, 19976945, 30322131, 857557184, 473343454, 781898418, 890978452, 1025734508, 187090139, 312502776, 666571545, 378089002, 245355941, 388284089, 440649434, 467144991, 192830641, 664504126, 430450891, 671717398, 1029635313, 908797272, 834148055, 981451941, 755257081, 902424683, 234832571, 654657356, 133485558, 734679045, 844075008, 37979483, 36378069, 549848653, 1038658320, 466325627, 821762480, 1039512031, 448074276, 578360254, 621451848, 1016426143, 175289279, 690099298, 156698102, 311424043, 108865720, 766863814, 1003502039, 223149215, 363597756, 479273715, 545454530, 330513015, 239194353, 803366181, 676054863, 563128429, 1013264669, 84371154, 917125801, 4093259, 664777118, 34421232, 216052394, 527860170, 26409896, 62648860, 135710125, 966361837, 382827860, 410596573, 785711813, 290238090, 189995757, 38855159, 429574931, 307525309, 915802946, 214715241, 441604158, 898773787, 510900785, 683599274, 796682226, 792444941, 186291456, 634037251, 652536601, 229184793, 693206273, 452246074, 198172451, 629290137, 921337895, 494513104, 534867857, 31689619, 361263055, 41197239, 401661997, 229383959, 762773696, 630199383, 702311714, 1046240557, 608016020, 198145354, 313093063, 757471337, 829306874, 105238881, 698126494, 999395857, 953006314, 182836696, 563343357, 902736737, 614417993, 373494974, 736347707, 793913956, 331197144, 629514414, 861118968, 385714296, 322623386, 1006426903, 670292760, 239323984, 57629244, 842946961, 571742297, 593894017, 1018124457, 1020622767, 662244489, 129985994, 36805790, 86458488, 204601071, 56065441, 1009683765, 966659417, 315767703, 766195429, 845923519, 106117072, 668035245, 365055266, 441065690, 492904652, 942496253, 383200998, 157545817, 108389093, 666895612, 171598803, 815735352, 684670995, 544552528, 361341008, 518866552, 76381171, 684842394, 484459924, 564730078, 1019307244, 886403906, 785686967, 317683974, 599748514, 362335250, 219606460, 142166549, 151086394, 574060715, 324984640, 75921375, 534810194, 234391380, 212587888, 678218139, 573525656, 1044463863, 918842443, 738873110, 53959534, 367673016, 867792713, 79838443, 78084733, 945405761, 13948422, 932918509, 418706368, 969828536, 527037367, 982499369, 965631728, 702733162, 63930742, 892700573, 954639316, 41046052, 1058681719, 1065268228, 705724576, 42197335, 234506703, 494259735, 969129632, 497840161, 650698890, 239849361, 436456156, 1022026566, 177857586, 778429761, 1070389256, 356513959, 1027546016, 205804329, 199831138, 535345770, 234780014, 301775659, 139882696, 678224389, 201333386, 454809804, 774362987, 542113861, 406719203, 1066425117, 438516570, 1046378503, 246620816, 834957560, 975457124, 658296616, 320057333, 760365863, 77031048, 186955453, 943099545, 968690783, 924493642, 773277327, 398549474, 145403228, 560438074, 67996026, 1071987866, 959076839, 968305751, 138594545, 614102088, 648898738, 501280659, 651578238, 1007736367, 595535276, 521263438, 131780271, 854871005, 206759571, 771718655, 854299787, 327861211, 56548703, 9146970, 226323046, 533746934, 312836487, 702831783, 826047977, 255337705, 330732655, 318307526, 956171867, 860008659, 328104570, 711495712, 530043803, 247945814, 419954800, 933488601, 690904570, 1052655567, 409171858, 336003791, 1066765079, 626991148, 618611524, 449584921, 634760308, 761993946, 887358741, 47902453, 551330222, 402692417, 863766000, 854678748, 586205993, 600705821, 103796304, 710302700, 623154156, 281019071, 229467910, 1020810110, 839900764, 149506685, 557110511, 105390723, 512005150, 896123531, 222750422, 189484876, 1019398854, 964817595, 161282439, 834660818, 801817252, 116378347, 601431236, 409004621, 301485015, 20358452, 9887535, 1006415899, 543849535, 772954988, 410152693, 207832367, 784665230, 626808266, 493712663, 501450658, 325555406, 175008410, 469260831, 607661579, 439156954, 769495930, 546781297, 1055662068, 1069972329, 963741981, 396362716, 324281896, 242807733, 527419076, 316670244, 297335470, 400648188, 268078999, 90786825, 348412765, 963688339, 99014827, 251179333, 164176315, 974620989, 232906173, 835882979, 248820773, 1027290864, 682980462, 969508227, 740665346, 305095213, 789158004, 169765501, 989176975, 32397970, 689182091, 1000045562, 90805514, 148761469, 719920408, 755346365, 341806801, 4183457, 112172980, 947763423, 137976275, 854598487, 1069809914, 670502526, 653693938, 1016560216, 236982110, 30171166, 834705206, 725551097, 900441840, 695366629, 124918041, 76540000, 181370765, 1010019727, 20824369, 363090242, 905519008, 683405443, 670620638, 299757881, 251338244, 886538107, 339468952, 491386706, 934990446, 592215695, 994845377, 952141221, 807896028, 1054597879, 764781289, 54860584, 947463479, 273933622, 384982143, 426041183, 142881750, 930054072, 198714909, 321642842, 177799917, 1003713935, 109936950, 213106830, 280498252, 911684605, 381596998, 175987406, 852481073, 426979728, 504134542, 313576715, 762661558, 429607896, 565370098, 666408651, 662345537, 496320921, 284758041, 213279954, 559565069, 27379839, 109225147, 477216206, 964287126, 970652377, 2419387, 1039531830, 989001175, 527878780, 905499865, 783418707, 289047561, 851223203, 359290304, 144484000, 543775903, 394317815, 9553493, 853364138, 300088787, 951654381, 124111922, 927149, 56700511, 548004627, 20534067, 518097695, 313667301, 126426763, 66083265, 233903660, 369951351, 248013418, 725204445, 27459106, 865638083, 573944515, 236416565, 184227824, 23926002, 975082080, 501250730, 824971311, 201624053, 915342969, 1016723522, 771107910, 574949471, 609605864, 529518182, 1069134592, 899711218, 945478233, 919826323, 266961779, 1019892694, 71208000, 490109035, 926868481, 342002752, 276738301, 520344102, 625265909, 683830106, 578681087, 785645177, 680994146, 834991711, 394163439, 520818066, 449300572, 246791225, 698774871, 883530278, 9719319, 566045635, 329534524, 830255692, 235797476, 471859033, 1007543576, 909383423, 974168027, 1014144075, 300528514, 361009503, 247074474, 661286375, 921785714, 852377169, 575700380, 866583297, 737792339, 423220444, 1065727385, 1061315889, 800751913, 68431580, 888758403, 1051920585, 74006012, 281891640, 829954192, 981503564, 234782811, 248143201, 619538970, 921619280, 295102880, 116563630, 252707771, 121700672, 6632270, 427516856, 756835109, 812630985, 350436523, 407947811, 532948998, 509467576, 521943053, 130015502, 110474897, 960919682, 861030014, 137067831, 731962856, 351917048, 18097897, 1041349313, 319794648, 524080280, 176138381, 271506132, 221947551, 478794712, 34111541, 938061508, 205635237, 385488486, 720139959, 586473440, 680483110, 557850654, 984400182, 607747514, 943192580, 931914241, 278381473, 671570255, 245079440, 200406124, 1020847868, 1018265439, 375505223, 222686639, 148465814, 885084754, 100890167, 1018681514, 810549917, 530443492, 453525224, 177904269, 53390913, 920488031, 899851369, 312268510, 50786200, 220154516, 906900107, 451661724, 734345485, 699454668, 884497776, 614041443, 56340977, 530998125, 898186176, 73682274, 957148119, 436978890, 815216248, 46268792, 103246123, 447636278, 659403864, 59526436, 126875225, 266907634, 653994336, 865822564, 166019272, 840462566, 201871970, 311343112, 706816477, 518233435, 573189389, 358776129, 380742902, 470431666, 167482446, 109861851, 947750644, 73423969, 204539710, 366851423, 964747724, 209981414, 536544357, 690305806, 829497727, 685221946, 607984157, 576553730, 503039856, 1040695921, 194301569, 477954165, 133565116, 1042815498, 526801926, 785395976, 504073839, 943246346, 28186063, 83101792, 743215394, 688582841, 712617204, 963857892, 391101444, 68542787, 931545471, 834027678, 796278884, 22153845, 944510753, 227396943, 788750637, 66811944, 129266482, 1004095690, 637951951, 926412230, 1012136871, 321207481, 483842080, 650192242, 164250723, 974285402, 140287029, 95338541, 417081856, 589591666, 121607378, 307079342, 1009479000, 271170574, 724668017, 4232323, 55176080, 345512037, 977997077, 819038377, 1065822388, 535989421, 958261310, 97649460, 1039713437, 1021807128, 586811511, 94891547, 963915555, 1003648659, 357557790, 269639190, 63427562, 556707684, 309875980, 271963948, 683650025, 94645900, 15835644, 237622973, 620615991, 863960948, 525940998, 150151109, 443414649, 848944838, 508228697, 448601798, 854206503, 273180858, 1043074994, 593331467, 999561014, 680654306, 753831943, 591149201, 31331638, 427904760, 4020928, 433946799, 609613766, 809410092, 232886355, 44068911, 997127586, 938958074, 720555826, 304726670, 399603553, 139503702, 1043813140, 1045146955, 489779220, 915672680, 1070016879, 798652801, 299372805, 1022288029, 149658238, 735090562, 905669743, 1006767436, 177383781, 688726819, 540361884, 502741573, 65425313, 796172421, 10799219, 354677913, 628632090, 286052134, 359642272, 579938899, 534525833, 948178348, 590783340, 404837589, 270141650, 808046900, 279572094, 214362240, 987304692, 665013719, 958562997, 72936482, 791148364, 620031002, 958369743, 397555555, 107685135, 1024450227, 1016694218, 899904081, 1001245610, 653668158, 725223799, 536321131, 418790689, 326278700, 877923152, 285920256, 827050710, 929553600, 694929791, 472054499, 261291260, 1003529514, 895867224, 1028872928, 852780783, 312216488, 122981693, 112376483, 278342944, 272674656, 374524482, 673787617, 1035641046, 217661109, 75006646, 774632493, 789443485, 399891222, 862612786, 576723016, 259617031, 75107939, 180348643, 262034285, 738543244, 518604780, 239925934, 795157501, 418854596, 13689288, 913672901, 606802545, 789151342, 986716686, 1011498894, 1064602674, 683746121, 546775224, 23650444, 997914231, 510024794, 185230144, 814533192, 457183280, 995049112, 797263489, 859044909, 588531921, 981794502, 1003309223, 1040513486, 503582516, 951469085, 838236812, 430260787, 948786303, 536039859, 760677866, 260583965, 731763840, 592578147, 544865036, 800978938, 692559539, 874198510, 747553204, 163621713, 1038568007, 418044074, 216243078, 1015935748, 3085168, 680315822, 925615648, 846610991, 898379924, 823269137, 727150166, 710155392, 439125917, 242965133, 424809084, 733762341, 108158298, 535905679, 979422669, 478539987, 457407373, 856449584, 360892076, 654199500, 746597243, 538208357, 249656760, 203405178, 233071898, 947603758, 1007572069, 122537712, 1046810174, 360511137, 247915723, 298321339, 133152697, 803799944, 192649539, 974095561, 426604613, 1010268897, 307597813, 976002522, 877679984, 669134217, 317783455, 615748050, 664472032, 883367745, 648584609, 705017650, 169315810, 25900180, 80994109, 818407192, 1041195388, 837753058, 371031537, 1031451952, 749385250, 833859392, 454497335, 902832265, 730948026, 419386329, 254148645, 811978189, 617282432, 826964452, 1034398539, 277886256, 580074323, 402714439, 960707126, 762809311, 242571554, 386009801, 672296587, 1003734615, 1046735796, 492441778, 505237800, 272365427, 9567670, 271172399, 195345774, 800603270, 606811255, 146510900, 973052628, 153051167, 725425520, 875499501, 942519780, 447514110, 533853602, 323771876, 875876580, 198944055, 1035714966, 701852314, 130911184, 775780089, 557396161, 928210362, 2125054, 313986774, 81882562, 987422273, 263235816, 268749991, 361259553, 267080546, 2468042, 375182148, 226315846, 9661557, 478293608, 897047090, 166084635, 966852219, 1049581828, 666352866, 123364737, 354215363, 469889582, 855699123, 168465034, 914547098, 336738744, 119660309, 687079375, 666123670, 761956394, 477964493, 1041107562, 669157317, 748803144, 444050621, 441424383, 316693183, 281094527, 621575259, 74624821, 565923705, 94338843, 746208523, 987924063, 302208809, 695344535, 96480606, 48874786, 65302955, 771411330, 853279536, 761092155, 280574295, 319838255, 115361157, 404027543, 724776217, 997970680, 680010252, 845808914, 921356507, 682484417, 1016164857, 236476622, 163647261, 602306416, 74964083, 637316719, 747460077, 490061960, 769888590, 79735283, 517770821, 371591596, 570718812, 749164109, 873958360, 831062619, 471132191, 749093958, 190213616, 34968713, 1027444291, 444542704, 687114151, 493786675, 303830933, 543101340, 473584562, 983707665, 1018367518, 568027546, 1027342644, 1057434147, 964570440, 420759969, 202195687, 124013270, 411304813, 355161743, 898267902, 656220620, 688413648, 119406374, 281728146, 683531839, 52224418, 806876347, 77339042, 641008059, 1061231788, 165256508, 996849594, 536880808, 903854736, 39314968, 104444986, 455093866, 65059476, 984487402, 650891104, 573304576, 612532069, 170234525, 143150783, 5326910, 504778118, 172593297, 686935024, 861397627, 396990609, 150321580, 421651625, 83658532, 225801511, 522386632, 403832624, 989184473, 653955041, 147237498, 766465786, 647638385, 960468876, 29689355, 825002076, 944803863, 456725258, 1045402003, 617842816, 1024435809, 585360789, 209352534, 765868622, 48750647, 93551131, 322428968, 149373316, 223703836, 47504762, 867451824, 829241067, 194096351, 522537070, 205015198, 261980447, 902115622, 280211767, 293704056, 858971477, 204678196, 3123329, 479596589, 718697947, 306284827, 781766223, 34765787, 863926253, 569559681, 436864808, 692822038, 42846224, 90815670, 208504777, 751961539, 829934179, 276798407, 82737351, 394441059, 39702539, 960886233, 649252524, 112312681, 203213609, 33554796, 770873002, 629759623, 578005155, 504055214, 49260772, 48281227, 468734090, 442676734, 840315626, 3734428, 459082867, 924017854, 384515496, 933069757, 742423316, 347929794, 923258565, 677485548, 969582724, 603554820, 1045148173, 101278669, 569501327, 586249911, 199557068, 645386487, 958407293, 1027539046, 705501056, 147510307, 960293858, 901016825, 201795247, 984692898, 566270757, 189652008, 544166756, 571212317, 1044618272, 781274840, 761565412, 411932033, 625001368, 588920582, 1044596741, 1016063661, 520756653, 575822666, 21500760, 91826021, 229215879, 838483217, 486389264, 869009337, 1018293479, 972760739, 989314221, 548828931, 928906267, 917986083, 1054212863, 741555974, 147295487, 79748813, 159039378, 532708652, 299408183, 240897139, 45690802, 559404857, 323641200, 190588660, 1036924348, 415417801, 519534769, 876617381, 313858495, 469095043, 17792717, 140285575, 417010182, 336298386, 660108082, 384143717, 793338161, 384496093, 988021110, 176122107, 239345047, 882909563, 125661936, 64594075, 261480195, 645480440, 346845635, 850686460, 611232421, 980805833, 832091268, 366142809, 775276217, 834110215, 551815332, 175859251, 1003046219, 103260938, 409118507, 602304194, 1053738448, 147574463, 1045902679, 921070889, 177085156, 847027207, 181564224, 497831719, 438944945, 627503803, 12357881, 1020019872, 559640339, 819231911, 643504631, 467489995, 12779661, 798051767, 513850368, 492348191, 172277778, 555892141, 504974120, 347224225, 837418384, 422787434, 913004014, 878668766, 397666942, 638920899, 982763344, 979406299, 749449964, 584975615, 989899820, 675692283, 62660497, 995486986, 722022757, 743615411, 639775916, 488181538, 798752034, 8669833, 873040374, 588132758, 523986842, 257778155, 657233068, 183586552, 864375037, 570724685, 192723701, 324807628, 643321496, 449369862, 847564978, 667034739, 468533843, 874081703, 394938733, 820865410, 246558532, 1010192853, 455693463, 46223413, 351809421, 103785061, 108863413, 466946311, 123832213, 53539190, 428575386, 682135451, 1044949426, 208209358, 1073722577, 607038460, 236687461, 122744698, 916669500, 184612369, 979137561, 1037110603, 838720125, 596061773, 764535738, 610911022, 181694905, 377134116, 410056599, 667137539, 590387284, 1003657407, 237139843, 727143071, 765374239, 764289753, 532761218, 411646007, 462782200, 815331021, 429006665, 35749442, 1068979462, 269068059, 877211750, 460877936, 918389437, 483596990, 765984677, 407620527, 600707036, 195677493, 644291845, 45130176, 726108696, 981969090, 726472428, 612583451, 659060950, 120518948, 145871156, 922979174, 773309409, 15913410, 122434383, 736156667, 177827119, 296385392, 786834885, 1002637024, 253296998, 124867538, 812997385, 747954344, 445576332, 107559789, 841699116, 922084321, 694846484, 565228290, 667368918, 378427993, 735585038, 676123528, 1056390186, 894959634, 344117639, 494134556, 1046992674, 694933548, 915825887, 219009144, 355268132, 142110033, 849201838, 27851815, 819890076, 403594803, 500558364, 387198060, 763561598, 74816812, 526326596, 264394458, 612241666, 526638680, 827432999, 319731268, 159908789, 828090488, 1038831870, 1070526484, 146344713, 76496666, 245441695, 865300799, 514414369, 268041789, 229484441, 988315998, 315146645, 979496602, 589522861, 269086672, 460581001, 492314400, 29470675, 94984972, 275732855, 899540027, 510415496, 589342709, 818097219, 277724438, 262061247, 796739631, 991932403, 521718061, 1055750098, 701343273, 15016263, 240597449, 869620689, 67002716, 880205904, 58562794, 1015290314, 894102272, 661769970, 1033974121, 736591470, 65453441, 550338330, 676508300, 559621462, 306200014, 971999002, 306450508, 436557649, 248958036, 642179679, 600977779, 717695415, 656655554, 444421386, 224624290, 580974211, 253201499, 587754970, 66990866, 78526132, 1003353076, 646424749, 607649597, 133167786, 439047678, 10800426, 197733893, 701746383, 191030290, 916636192, 963673391, 40154340, 536544021, 494480795, 669575927, 926625724, 855460313, 989165144, 604835689, 966198271, 742120096, 153631292, 686564535, 292385883, 569842874, 104613039, 360654928, 196362163, 736146573, 52298933, 871083167, 274650420, 521124089, 438240628, 728642952, 914691135, 481819790, 223468996, 906385284, 406812305, 490777966, 326063008, 244897871, 214835892, 773229742, 1022739294, 8695188, 266166228, 691250477, 425454223, 1042117020, 1011498237, 470842978, 492691537, 984099816, 82897492, 686942177, 270921198, 904171497, 185258720, 910554729, 628666970, 180383685, 73270682, 654933057, 275950001, 229857013, 529380897, 813511360, 815205957, 333941026, 1050830855, 639611056, 36422259, 512107658, 784578412, 271728780, 726815209, 483256791, 208113768, 414231277, 817096859, 9304291, 1026844085, 275909033, 272679130, 944169204, 342062373, 776377736, 472714042, 490162157, 286949832, 693056032, 969572823, 51323294, 783255102, 114707114, 891613902, 653865473, 1044001509, 654485067, 978372423, 1003551430, 914259583, 700468708, 829282415, 742594197, 816473308, 595154551, 680902072, 960198931, 573816631, 536326041, 459221799, 431987726, 870857074, 230241937, 194736835, 272147114, 805818457, 104747796, 1062871568, 78340149, 499820009, 617412255, 194955304, 505948441, 670728967, 342364010, 282038599, 575467719, 692554646, 644739764, 528121514, 916305448, 786877246, 525630832, 778393511, 904698268, 736503167, 902546471, 181722504, 818882115, 492554213, 442740402, 34520087, 411430186, 376395925, 33529467, 138251889, 960094948, 902863277, 749900989, 247699502, 65448531, 601888312, 859098793, 1177321, 993806516, 984124906, 615463147, 874410847, 177062514, 93677567, 879000971, 997180958, 979416103, 509176441, 173574306, 952435196, 821336814, 116203371, 1050174056, 934695185, 500380610, 336209240, 745966426, 883755383, 750940644, 846774755, 418302404, 611766381, 299091291, 699533253, 246600456, 988058666, 809202300, 373489935, 140476674, 707145223, 183244393, 936139128, 181567323, 893665838, 671376398, 151316259, 681511487, 55865870, 697340762, 927710429, 556286253, 207282533, 750370669, 678855609, 992124709, 224176335, 830187082, 148035295, 24487860, 475633364, 1006681430, 496061706, 718415000, 488343816, 445234160, 653825056, 84184377, 208606307, 519375124, 973973883, 572643550, 558783848, 976122697, 1056978526, 1027815226, 658020320, 966194340, 657567327, 348605278, 486825598, 598978324, 368643373, 767319334, 996926852, 480644009, 471270011, 251301696, 237684525, 843958640, 781480619, 53591116, 520828396, 187554472, 1005587153, 105236562, 652551873, 1028116875, 50229309, 147931928, 296781760, 263014142, 19992530, 558969277, 611876220, 979489796, 884336743, 885619274, 667701847, 146597669, 1050890231, 761978215, 483714721, 1056983236, 209115587, 845566241, 613115478, 492102144, 969986626, 402308284, 1029489953, 283164105, 650753765, 740867226, 427428307, 304264959, 362404775, 813884487, 495291197, 1025250558, 408805930, 338700958, 182823479, 526255073, 428305621, 823040965, 767396707, 878747085, 919422495, 787195433, 601270309, 102911376, 801668892, 280964743, 758356068, 493898322, 662636226, 772757182, 529685882, 681668925, 94844118, 948192767, 242154121, 813484355, 748828664, 126526065, 464648665, 76269943, 767327042, 319830957, 64993896, 9852003, 701809047, 240732345, 739176046, 378404323, 448558195, 399986715, 509066266, 479790354, 1071567405, 137135307, 878484632, 847738424, 869953331, 746375682, 18331238, 1008674508, 625272665, 777581627, 214048756, 422660568, 278118490, 819353178, 469085313, 804924904, 873651594, 172167304, 224128812, 412756141, 57506047, 219072236, 471525582, 480919853, 530475654, 880798178, 646734348, 604399938, 676170721, 265440600, 367323796, 700619152, 71816145, 573219565, 204082333, 874347730, 512901015, 630827875, 60293271, 155581277, 1050174204, 1071618983, 1051733771, 280030180, 431028047, 965519742, 480823748, 100209635, 651425531, 430742846, 767136762, 572061999, 1057531153, 64162116, 1016715560, 816596079, 198350777, 135623765, 808736588, 695051405, 644733716, 530570517, 341287510, 1055773674, 6971362, 429602507, 895926119, 86314254, 162373646, 171050566, 970354384, 729417966, 525912414, 479717036, 735127465, 913756390, 672062847, 276527799, 48062770, 1020391884, 303262855, 33577334, 153346247, 743305576, 943093014, 717233226, 132125408, 675677595, 457425997, 642807400, 1018970790, 172819105, 590815408, 306515669, 424576727, 200510914, 634361934, 514886394, 220970798, 658939180, 126432900, 591329964, 153737943, 162390423, 668811380, 325130069, 715829519, 399846785, 795505008, 516477751, 66624526, 161372968, 391175547, 831964184, 92170591, 1054129659, 841681112, 30951508, 150352285, 310695803, 952876555, 759830835, 309928328, 171145394, 95361624, 547126887, 806533426, 59723869, 235139389, 823782852, 367231359, 320120123, 565757496, 859750285, 471205337, 688760194, 634311890, 234238641, 212415498, 642661111, 1038192963, 934875079, 318587096, 965988106, 873810839, 483867327, 506616580, 1071065611, 206214260, 760849799, 120132083, 329440979, 742840966, 483589544, 299512372, 48494052, 210216053, 830875782, 224525837, 699441403, 1004016100, 700263538, 963444288, 847041566, 556495713, 130063912, 12809985, 472416769, 1055952589, 266837652, 713434741, 985897611, 337081107, 298700984, 533274027, 340215817, 210201981, 581267593, 774981390, 641603499, 1060044865, 1008818558, 407823544, 355086033, 127267919, 514017309, 17377956, 271758153, 375902563, 437068604, 572483105, 87392952, 501793560, 173298489, 1025496136, 125960310, 804773874, 1049576223, 899415882, 278214800, 678806568, 956733294, 345129111, 136126747, 49506996, 527437837, 430866899, 669497512, 29884096, 1071467218, 429386578, 308554731, 1010317684, 633966356, 1020526318, 538027655, 383202289, 917841920, 62095557, 432106081, 587050831, 715393859, 921291231, 118302313, 1043589775, 368626822, 950913066, 872093877, 585763760, 349922375, 714458356, 53880489, 72243559, 882513959, 430264277, 979030065, 95857753, 27581145, 847965612, 658524921, 195063071, 659074992, 212189999, 8691696, 69413847, 605324027, 710599943, 316049979, 288858037, 108645062, 779848234, 28867359, 187969090, 95431828, 456977786, 253404243, 479006450, 572556823, 152498068, 57216558, 637990470, 262475593, 967570545, 951070135, 674915303, 254216022, 1031058804, 792512888, 978942292, 119750911, 346210589, 803572699, 753950254, 33648311, 706624375, 539650805, 594413074, 411148491, 449520779, 998917624, 1006656483, 786934876, 342047171, 148229860, 378993495, 761225314, 359231726, 474066929, 128672834, 291191623, 71447949, 983743869, 174386226, 44962191, 461417837, 125468827, 1045534325, 47497110, 796338955, 650850798, 916158846, 444222662, 565812194, 475663598, 159103592, 798386128, 50712309, 1060453058, 705916939, 1049934692, 490032796, 17939234, 723422043, 811527423, 201985945, 896347352, 184689983, 647200855, 556668824, 116274360, 196754381, 123398563, 947338055, 1002233357, 1035204521, 52553525, 346192978, 842271189, 866785628, 63853202, 266640255, 495686667, 957299262, 821000094, 201863127, 640520655, 826183103, 672152976, 559004829, 176355199, 192877571, 391189053, 7234798, 100469868, 563871930, 694909605, 411247962, 819386120, 694192768, 573726421, 544652568, 848580469, 567246083, 1018808979, 223308616, 940466397, 455179089, 841566917, 866248889, 300922224, 181758031, 205045409, 93565227, 563694232, 437434203, 496385967, 792768449, 501640129, 905326821, 378879453, 46206016, 479687823, 556842551, 817498744, 79047930, 1015317912, 981940899, 543751222, 333527443, 818650448, 496003604, 955954307, 794481281, 60989748, 382492016, 349628093, 512529838, 1029979150, 420919516, 1022832258, 1069248624, 820149068, 561613505, 83510389, 710125102, 623792452, 23542770, 9155640, 587013087, 876811180, 502326732, 163106940, 415811846, 704072778, 1048690366, 27361691, 347414089, 345164219, 949725438, 182217174, 416343056, 267286715, 960900772, 331225587, 1039011843, 298518249, 959103405, 470010519, 466074523, 875874280, 1051790475, 941174132, 1026589233, 307937919, 812752533, 114937339, 541698509, 613500275, 1018926882, 180521589, 455218757, 323363259, 633378235, 352105252, 827294177, 403404935, 500971462, 361361537, 132621093, 1038042332, 395578071, 396857656, 276574484, 240578018, 206447798, 292584282, 835335688, 414109830, 795456126, 747424210, 804180153, 241197665, 426804093, 196872772, 313992300, 967001704, 209143443, 488911145, 168468054, 1022082570, 1066898806, 681061263, 711812022, 457831656, 362927205, 826037842, 386754109, 532444563, 895359568, 918845500, 927424016, 926828355, 920791290, 123361671, 923914647, 374486911, 184935650, 816749566, 575981755, 186478622, 50689828, 818628391, 981242285, 19237207, 489713368, 324571983, 414520362, 300951165, 447766074, 88919101, 745720570, 865574687, 412928202, 177196857, 274185049, 856516897, 1007785621, 636544828, 731688880, 394809350, 339339929, 866990461, 1036995708, 634691502, 428928044, 442868401, 421805777, 201731889, 689191483, 121471125, 341198961, 120394456, 454020192, 363146202, 738803637, 582517575, 773345263, 256933068, 515962437, 225419395, 710805508, 171907708, 1006831259, 542099772, 869485997, 621698669, 560117630, 606990236, 340278492, 570704342, 173369329, 775584042, 798888902, 1063791017, 754298927, 36150333, 888009720, 672468780, 216406884, 844815931, 12407880, 894686134, 82486810, 1018484623, 1058235196, 976094384, 259076214, 131533568, 897563059, 671955841, 823367953, 781805100, 9335617, 915254292, 859785980, 883247679, 532011021, 636939216, 978801033, 1050155260, 617268607, 612337536, 423611547, 95904048, 357644950, 563352443, 22799167, 439046868, 141310004, 506337271, 585868907, 820929800, 91473462, 297156090, 229226350, 562335495, 203250924, 532871098, 907008570, 338125895, 371159019, 78634247, 978213650, 805971929, 993655330, 960350552, 191292685, 1004377123, 806377844, 27211999, 355147781, 742864980, 625898867, 160195912, 1070047823, 810077441, 708613471, 86527498, 573288115, 119859206, 163173655, 164850475, 961580894, 559981894, 786154201, 537621984, 20503462, 799698703, 573048130, 256471214, 454441592, 731523550, 459584556, 816586931, 394476020, 937419188, 216964278, 183483042, 1044648260, 19302390, 395413848, 236689162, 931451163, 679275247, 975744992, 632233043, 1045009887, 600764799, 552778317, 886707900, 1058363842, 1031364113, 197209097, 246246376, 797962772, 599833062, 879461538, 311943967, 218431079, 949718121, 646398005, 217577509, 152544946, 401457825, 637626065, 877629639, 589983552, 745666166, 292552081, 348589177, 56818704, 294008788, 409947281, 848957413, 1062695399, 980414791, 915612220, 103304277, 53642697, 49295173, 407453890, 195449295, 134492808, 894454081, 678835133, 349654837, 155817223, 471077142, 1040915989, 818063311, 682742731, 328853148, 413106556, 829015074, 245019720, 69981559, 434109968, 1032133781, 14237147, 1028448457, 98152905, 880127597, 283728643, 1058864082, 384147294, 424226434, 825071903, 496860296, 471782620, 311381872, 701009532, 707615667, 1042158574, 799023706, 498632181, 423930355, 343705116, 995271248, 56950338, 301145217, 418659437, 432240944, 898204719, 169282924, 375037455, 256136561, 264135101, 212630523, 691441145, 320471802, 786102367, 872191249, 793327290, 209467367, 1000508204, 707312911, 974422381, 194781895, 1071437187, 226650668, 1011116197, 674757156, 989624635, 378503340, 443253268, 361976934, 381669034, 684504424, 915178290, 709070567, 238893571, 438370817, 574644409, 978653090, 450193080, 317695753, 350708108, 128776177, 105822037, 864572090, 551532400, 676435219, 940786236, 154326732, 27365427, 734340833, 310032895, 758105765, 474905563, 277129899, 1062926126, 698797644, 482701308, 481324109, 441460899, 167889844, 997784228, 1049078991, 97544950, 443891167, 424043817, 852401375, 25630607, 181796086, 1029985987, 159956970, 289752929, 963040571, 724311919, 865386224, 583230537, 699339718, 167994338, 748058889, 428650969, 328717476, 875310075, 743286995, 505678958, 98319599, 321979070, 924133431, 790837966, 197952192, 436247022, 339121011, 782716130, 61844165, 406699491, 259250818, 612775259, 108421454, 802506357, 611228677, 688722057, 362081183, 613993308, 817845407, 73474773, 912837047, 167393129, 87018195, 2975146, 372309615, 716333903, 9238436, 1009995113, 903641804, 176325277, 701207829, 46580866, 111167076, 115008389, 829617646, 523593780, 72030224, 622344628, 697672164, 851513081, 214685046, 265392319, 318145028, 369837350, 195855756, 860180173, 503061462, 783000377, 750322827, 1008448741, 804144122, 945803024, 264892088, 563972693, 570935731, 723164673, 377760044, 880059133, 353722222, 320624215, 309449628, 31584719, 587577236, 692392309, 1018582826, 671781915, 238325287, 962956871, 991570076, 602589667, 292827693, 559191181, 877770652, 533610811, 847140419, 70078733, 1023370714, 588252818, 772933877, 485943789, 738888800, 932919315, 637716765, 1056464765, 75762063, 85931206, 204637808, 572776209, 410922355, 225395351, 693283224, 119351618, 92741921, 593332502, 28069622, 977564970, 353793313, 31001917, 213837876, 716972370, 718609383, 681936122, 653885719, 838106215, 453318026, 468648710, 453460018, 510733916, 824127309, 514756948, 427715851, 721740691, 299831762, 712131016, 240736258, 300837804, 152556467, 7251112, 869458851, 447729682, 1065341535, 1017978540, 338068493, 166952573, 412620709, 377226539, 72244862, 842034899, 543506432, 1049376777, 145278256, 106788743, 249686665, 213187837, 508231019, 1040162482, 1004777507, 139246000, 514821328, 1024939875, 826896490, 831857076, 454304583, 318784613, 384234740, 357015096, 60685204, 991106915, 366298255, 415812851, 633856966, 629571046, 144561083, 882854941, 942534332, 906308081, 727930896, 757127318, 164795616, 717639853, 896395453, 739442080, 128915044, 147208186, 233479099, 548283061, 1002288733, 432924139, 126946796, 11299255, 136778386, 610817810, 995688207, 37767246, 911249349, 444261675, 901145180, 914678087, 634626669, 41384136, 646723561, 17307154, 318894147, 899599949, 77592202, 369459996, 97689130, 946080220, 1063966877, 946451757, 227181768, 635774796, 229837981, 115446252, 1048657109, 390549068, 191709894, 729551436, 935430141, 909454263, 982641917, 1070493868, 465974446, 313731576, 707108252, 134569436, 353949820, 475444148, 211720683, 27205899, 219310492, 868668307, 492169564, 960002822, 801177703, 732936978, 156993380, 967495137, 544135911, 912674240, 670744718, 172158451, 336591731, 281514660, 1064987174, 528799734, 387948049, 907965222, 716473326, 259057777, 704438807, 341556718, 565406200, 483601917, 528697474, 210469350, 965434691, 749717729, 646476749, 60879250, 996691280, 942144732, 937956345, 730546834, 282976070, 788548936, 100211112, 166002436, 775085069, 403328946, 892879763, 923115082, 1012849896, 817200962, 277091459, 208306299, 470307444, 507442820, 417478541, 1006277192, 203116199, 2064900, 954255069, 280271798, 1002583279, 182577386, 91811117, 272972897, 161028111, 635894707, 546025416, 19035761, 215161744, 586388648, 463064424, 770360683, 395780307, 379578855, 665454475, 49147719, 877978872, 635594650, 975595334, 123938677, 83171558, 363217909, 545362828, 113514017, 241088393, 882709867, 420749666, 156652570, 70479052, 374183710, 1853992, 138402590, 338895637, 1048318282, 835561540, 291688494, 188058512, 127858566, 452737962, 40372076, 7990874, 741285313, 932518935, 811373245, 640706171, 31158001, 743999214, 531781152, 552084821, 1021066303, 1007006140, 30682024, 28693551, 829861540, 948618414, 732759751, 724538519, 583307722, 387229317, 914476140, 632291312, 421634435, 639625410, 108035422, 182585263, 763687846, 252291656, 1059748862, 187530382, 96781146, 445610050, 168283684, 654756528, 297709718, 75074395, 169138287, 1008323856, 327722874, 197065655, 775081032, 323685626, 557393535, 945095072, 746723373, 342688638, 932569051, 216096881, 540142561, 669983514, 650299475, 232597214, 302928508, 995819719, 626090918, 92427056, 106134793, 456229711, 1053502653, 847311404, 406800531, 886924143, 102174702, 561484564, 234342425, 823054092, 616820781, 999777887, 559428974, 1000097648, 450706318, 864785702, 111531459, 180762473, 965665293, 595663806, 207180572, 446917168, 300599610, 711897396, 733890978, 393794325, 553089315, 865777837, 173767098, 171921140, 879298058, 603491923, 44071855, 684813234, 47821058, 387885893, 724264703, 1030975923, 244218232, 442532386, 271126777, 479792381, 244818149, 1025773779, 162113475, 729425763, 409836668, 614670631, 567203300, 953623762, 161405553, 395646139, 135185074, 412843677, 464977564, 827577794, 197339625, 743497267, 725050410, 875148169, 419403971, 275666508, 218222189, 680507916, 651280527, 322276264, 830584666, 686153188, 573824461, 708740104, 335626076, 354532612, 873018550, 954848543, 971110254, 56911307, 308906078, 583867510, 284828398, 846603449, 677847653, 124830474, 736535189, 133030245, 221494835, 217491944, 727175738, 1001605853, 759394102, 500958026, 89595939, 7287493, 491982322, 527221213, 165542172, 477783594, 598438031, 171878907, 433612227, 813559386, 538636187, 64474231, 266502403, 274897167, 422094126, 1068922969, 511139071, 929019378, 1047693409, 289665544, 524215084, 292039538, 649639759, 40733251, 998244827, 9531968, 364977628, 517676658, 770114182, 965258758, 394396852, 642803420, 947337463, 741366555, 29055104, 1010749451, 745163096, 158221431, 294738003, 788918879, 788056347, 248129549, 139110505, 1038770456, 382879470, 971939198, 297129402, 592497923, 337325553, 797937364, 637171013, 489761031, 1024510112, 1054361194, 11718320, 990025573, 1046089839, 917960849, 313049898, 12753943, 382100021, 159338608, 90140010, 20901053, 147156824, 277384689, 652898858, 991003666, 658868537, 675440768, 137139337, 253341367, 502081895, 141749424, 606586676, 172621682, 244158168, 283774942, 23413503, 876945291, 204458797, 866351902, 140574556, 629291642, 67365436, 985059834, 18282328, 321308738, 796265434, 1037332054, 799256623, 565923112, 987920365, 1046654247, 103848498, 1035352023, 386774499, 159774715, 748402631, 879549322, 870713234, 552983990, 951742348, 295081652, 221544018, 384466919, 904357541, 833061382, 558161564, 939486805, 570492988, 641990549, 997280457, 936298323, 113929213, 898090861, 284161290, 829989409, 567528727, 932155760, 25489446, 558907583, 230422583, 615618854, 316361664, 912235680, 761546215, 519630060, 892587678, 782102816, 326814728, 233313694, 331699135, 498888165, 528674567, 656935245, 484997835, 925811824, 787906074, 888580416, 294641105, 252423637, 353059619, 1065826124, 965671958, 268806055, 89515737, 952719512, 920257442, 618627895, 781182635, 1020310336, 842284468, 1072055212, 879597686, 450447000, 123287174, 324184332, 911809288, 87930408, 735214724, 703358010, 903026758, 16192314, 740399233, 320336043, 191725749, 340401486, 1018088195, 932517796, 426260739, 871439156, 346450529, 20248623, 257400284, 416846105, 919064287, 188065784, 70931061, 156686769, 578103537, 689672900, 1021674231, 307835370, 482372103, 83838745, 991590554, 890238489, 420942448, 62530311, 1042937076, 995663293, 973412595, 602006404, 873474613, 158566224, 723003183, 510194855, 622360213, 1030610964, 235327283, 124547655, 47722465, 624980357, 872961406, 1010065506, 795621978, 580516423, 578761110, 51868306, 541475900, 1073336828, 938151058, 880041467, 993923392, 553642290, 793515678, 20545022, 432237799, 351597898, 1011850186, 421729600, 405012390, 1040141077, 958119823, 374821662, 216751306, 497538316, 628033146, 464848272, 114066792, 820339142, 455688853, 160966815, 645967738, 143720459, 215191764, 831105120, 722950746, 105058173, 1413335, 858024142, 430152045, 206316145, 135811088, 713824019, 395569775, 754973763, 807860190, 849923660, 471436390, 308166876, 329990945, 786429109, 256955439, 345753727, 764189726, 614053995, 714983760, 551217688, 22320520, 869275093, 666510989, 860498202, 611793093, 173804432, 983754922, 874990416, 373008977, 813001025, 550922203, 780843705, 359539496, 436953627, 6903126, 682669549, 224809768, 409498471, 749911878, 186118522, 553622818, 821330241, 342714160, 741970678, 614789082, 706417259, 756055459, 549435409, 707026072, 277589494, 327842181, 261770877, 839030590, 771650036, 931822525, 966630916, 419731766, 532103042, 335509390, 411694371, 392253757, 385592984, 411215153, 997458597, 503352138, 468609997, 512733517, 756480058, 986253893, 753609672, 42198003, 641041511, 512893698, 822861335, 819512693, 755241693, 786594694, 275809555, 277970930, 879464143, 864979533, 800634125, 231746831, 1066797601, 438741544, 1024580337, 701151712, 853276896, 100355874, 348679479, 301034848, 319196081, 152120120, 379267108, 204604384, 864665319, 134528196, 313627825, 555878818, 523220449, 23165319, 831224586, 717379326, 726010801, 145363109, 560483429, 50059148, 84683067, 61217033, 546670361, 795582799, 660693006, 643141982, 63533850, 614445677, 1055784634, 459106342, 1053738873, 743221306, 232282082, 761538552, 541999287, 1063754965, 417305687, 356197495, 519552175, 881106899, 520115378, 694329323, 369488609, 207841104, 377606137, 319020195, 590168304, 370367198, 579286043, 956873488, 679891808, 355008989, 765521620, 377418503, 1052452491, 754828941, 361617356, 119646981, 368254877, 277535538, 291246154, 953159663, 110254721, 287973020, 554881677, 555557076, 835231350, 500192574, 657101402, 642545461, 781517048, 16965564, 286201121, 728975400, 147011470, 465535138, 74317035, 522068931, 743987368, 99782473, 82941733, 455302043, 768629234, 284405736, 986421559, 759306572, 740549712, 522279880, 23092628, 852041119, 342303229, 973540149, 742195525, 769833381, 903216027, 93254332, 1014209048, 794078715, 913926996, 735983703, 683288425, 548471662, 343829318, 541094917, 614129501, 80938864, 444510207, 809332913, 268683495, 866728415, 69973852, 409540782, 874922822, 847358055, 675883837, 499003401, 351279747, 105432527, 223807125, 849224006, 449747650, 226862786, 707060507, 1049448268, 341983398, 885898133, 960151686, 788221765, 128016172, 564837676, 412859192, 43037599, 273139390, 776896857, 969473258, 518231775, 653688835, 778963827, 568302423, 783905287, 991527503, 589799848, 957432337, 54043778, 436210482, 533054653, 407239408, 748901341, 503213609, 172044509, 280861253, 459060834, 884740326, 743543977, 534210253, 595336435, 75258158, 785418500, 620595654, 132166232, 1002575326, 909379664, 817297766, 357711945, 437139825, 134670304, 978811167, 1070592337, 474322700, 280277650, 828916442, 91528763, 494646110, 807711867, 704535640, 29261451, 349335292, 64273785, 91964781, 436670968, 502274282, 511834189, 480287693, 7219530, 926341354, 269922277, 679705258, 371745652, 234700561, 427482080, 738934603, 915422984, 717465530, 504090094, 291462796, 628151746, 1048956558, 473323716, 80645901, 815843046, 917811239, 209734860, 628221714, 884214252, 1420812, 298799197, 195291584, 626007176, 489863277, 391437249, 20744967, 724653513, 508142127, 813314277, 111060088, 370015373, 202378910, 1064205947, 303899862, 321962351, 310439738, 10488528, 141230335, 219049305, 248698813, 379487718, 397214221, 194950306, 1043717176, 644045066, 622516863, 610374952, 5629078, 896355898, 183490189, 270494554, 385590956, 1005898794, 381672172, 584783623, 520871432, 953601270, 825623525, 928194513, 691190434, 738959991, 354071608, 875327679, 518406526, 48090591, 721627812, 1014334392, 339196359, 78459558, 1012680134, 493146376, 737382219, 381363944, 313385056, 974909995, 304150553, 541142025, 264765225, 591234706, 450575694, 260146779, 778065077, 302456133, 1052379886, 1047121077, 9422087, 211625389, 64866282, 947426088, 758153295, 353216573, 729060945, 1025324178, 495856241, 596049273, 987995237, 674758820, 833900769, 285300457, 304908768, 194180342, 241677315, 712088553, 445538431, 1020163103, 195888516, 380728601, 526701397, 816549386, 769050591, 538061575, 394408237, 159974105, 277138965, 817348974, 272006194, 527727260, 543890882, 996534991, 1055499645, 547597551, 790760089, 140290050, 459693891, 509314539, 119250764, 876518521, 304368319, 302337151, 385238489, 1020995633, 523774430, 1016691101, 653697312, 729878211, 780976691, 1046235279, 870202904, 172931959, 1056579667, 127026369, 940320781, 131516222, 487978537, 477758219, 555858128, 48695283, 471317852, 471221964, 281782752, 320539540, 829053933, 993635527, 53099946, 369700052, 433824249, 364058062, 606985187, 1045854542, 607878211, 663118781, 82007669, 260902972, 8905619, 526203844, 86465873, 33619422, 313647310, 49782459, 536448685, 1009970425, 400449317, 914862188, 747837413, 98796566, 60171484, 412651287, 66211282, 570624025, 910032960, 258432212, 958542575, 780514754, 26432468, 773342685, 105361697, 697085051, 171342718, 395019253, 487119210, 610283683, 1045801040, 198046212, 562090614, 682993629, 1072524597, 7450267, 1022329629, 388226103, 742822549, 323690007, 825240910, 81878426, 893443872, 368623156, 343200193, 934184586, 867285706, 243677148, 528314538, 586283337, 574367845, 386588177, 59765269, 691775298, 1067094019, 124660505, 346079434, 917342462, 48557455, 669992387, 961141272, 674680573, 634428964, 443926763, 706466117, 818626404, 458146314, 766389438, 641368243, 213383854, 701176069, 141359842, 208651144, 1072835211, 1073662459, 792305558, 322879730, 303851871, 752668896, 191453284, 737347458, 452580762, 296615973, 481777558, 188185465, 537852918, 263686386, 824151424, 907571939, 875168046, 1052608539, 413170621, 754298615, 107527907, 471914621, 143323467, 1050227772, 624650846, 859314819, 671860928, 568152801, 145741963, 1028260281, 769822418, 51609681, 552933645, 177899822, 194445539, 534755205, 1010705045, 1027554512, 363075147, 320219732, 901222902, 682939501, 1015102311, 766750140, 354608692, 434072891, 36509499, 1058531096, 413571601, 919490556, 632579797, 322337112, 190168045, 709955421, 960976236, 782525561, 733282374, 534497305, 573253634, 817417322, 668999988, 302545842, 501279023, 154226951, 1022945737, 370367512, 124260518, 544991081, 73559023, 287244245, 611797715, 869791240, 1043734884, 436385120, 1073692248, 169968661, 387930386, 1036538537, 95825488, 919049763, 600041734, 583858898, 1055042218, 1041738129, 261929664, 120611041, 930388798, 733530333, 425263629, 389341871, 888750482, 339425533, 970658405, 766885215, 536473798, 3948310, 1025372211, 707472536, 120899157, 356812325, 1034691047, 825361204, 751316538, 664638835, 369317176, 480575279, 994221788, 322668082, 339527558, 435527599, 92139805, 200243421, 247510464, 722620029, 517588917, 155696469, 118460163, 953888204, 411210095, 638546583, 562369714, 97085326, 230288384, 613557787, 899337687, 322035771, 498566177, 895203561, 267871198, 1040758027, 92595335, 471087653, 303675934, 732997431, 493490128, 125976316, 746315026, 665322774, 969799294, 736581495, 910094924, 305450136, 204501702, 359215356, 895882522, 835397827, 1009397540, 500451943, 388782364, 553619330, 420055175, 83464532, 968987596, 75901489, 594503666, 119694237, 537420862, 691929640, 751858642, 452730761, 437271842, 325848646, 241000454, 388779742, 633288003, 693441090, 1016983537, 869623607, 784169654, 405780738, 538180775, 950463242, 619378997, 156535095, 818213036, 985243436, 658883285, 670731867, 16567676, 300438169, 560169534, 951430474, 78685043, 693246676, 518729489, 488740495, 941959001, 659180816, 540226831, 409560378, 587360688, 1023082804, 218971092, 520749230, 1044481891, 502257323, 18965100, 362311179, 370165613, 480987343, 289418907, 186208646, 149641716, 454714349, 767982195, 861284827, 517849271, 713745620, 860300350, 164743909, 406780272, 750999390, 496966090, 891845939, 198580048, 776263213, 273247336, 585099994, 528037099, 1006357596, 273433415, 676167762, 658167108, 326138798, 599288399, 195809184, 918850593, 753451096, 15563126, 792752834, 676037520, 291790881, 293073573, 149250830, 778958812, 245326761, 469322828, 895769876, 13696519, 940405193, 784806668, 474487037, 339030703, 473584675, 642982919, 873444374, 159595395, 315920793, 772386561, 229220621, 545864490, 723203409, 782823415, 195204970, 749698482, 764031483, 343332657, 750582013, 580864407, 354648621, 734537654, 385343128, 87200299, 130267943, 155935447, 138128782, 757289821, 587425488, 855892266, 918302655, 260285692, 976873871, 375817496, 254840647, 52857595, 623380772, 355022188, 762300177, 935352381, 227039256, 507606891, 382495187, 181377159, 567954552, 165792082, 889924245, 597638233, 941723852, 419311913, 348838647, 189323591, 134767847, 293878070, 121692969, 364810125, 831157062, 40657420, 24643026, 617580344, 573058925, 1026095233, 590786594, 286727111, 594212172, 897957353, 749537815, 35884102, 441752429, 60717028, 893768144, 752174994, 429055924, 317689324, 121298233, 321359466, 67080979, 360036431, 828502055, 691328722, 316297233, 165358879, 424285972, 408328537, 31090324, 554779614, 318840722, 867449206, 61641709, 313228239, 887346277, 2925791, 419138514, 384204465, 769793565, 18433423, 990604054, 695174103, 180949101, 62917959, 289290463, 547925454, 82377534, 1007852617, 738303330, 85659678, 977665676, 839234650, 405858107, 673279299, 283811534, 164534193, 247574636, 724106989, 71871961, 960020178, 313799081, 473982278, 456092401, 932308906, 814319793, 645733523, 282003054, 428368917, 483938977, 1070979088, 512552108, 208917604, 784878043, 795732559, 640299433, 590396246, 411291899, 820406776, 428602430, 333327470, 983615005, 431320739, 633061134, 586469436, 26153769, 446245270, 1030085691, 947524625, 172950004, 352707841, 673785044, 651617547, 891716086, 440300221, 228522390, 295054018, 17940718, 503412329, 1012228137, 878880019, 908672882, 230727417, 346547335, 221324353, 811193734, 312000675, 419819468, 378689727, 239259591, 287924241, 930686088, 725439928, 429973502, 982444135, 1030535676, 446982707, 1044976472, 418860236, 99419783, 186059289, 286640149, 907851864, 581621782, 299057351, 331791672, 879517855, 699782699, 283573515, 156388527, 270839318, 739784563, 39557965, 729944275, 860157132, 382311929, 860837645, 479391637, 928713107, 152921363, 982599129, 519323586, 504088992, 518535385, 734684462, 888021684, 507419968, 304094673, 155287527, 518600940, 407894418, 812299838, 846532500, 942758554, 513198195, 578249523, 367489522, 861194130, 432089524, 1028952806, 417965591, 664160370, 289357358, 389243414, 1018184523, 143070464, 380891065, 849502114, 996844768, 65917358, 496077175, 455075941, 618958355, 390572364, 857960966, 1026549923, 203693463, 566589934, 288965459, 346258788, 18235237, 270536161, 261061705, 313229673, 840449825, 1013698944, 517759738, 411426564, 177718231, 1026741114, 594404939, 850017066, 719615593, 660464535, 755584195, 322649791, 59160419, 839485463, 117710008, 932986324, 609470207, 540494299, 824765663, 397628112, 372112813, 752023529, 163327596, 838771958, 676107669, 96708440, 1669105, 922521766, 580561492, 707202191, 912332155, 587214437, 859332050, 152889157, 421525116, 296812793, 612358186, 863801873, 77525557, 1046780705, 839692804, 890515490, 650858805, 839484262, 953314126, 19197409, 48482410, 328770152, 385635632, 50600109, 1064726181, 901329157, 880733069, 290962428, 46768060, 674425528, 416451249, 836610380, 850651744, 231345832, 59961428, 1001978626, 664649982, 129066134, 782677506, 150462954, 215629336, 440768666, 203202413, 323815838, 342361838, 975945944, 305955006, 37222901, 516071208, 1000873541, 1030274909, 679155218, 198243246, 143489218, 387412247, 332293372, 802285346, 734573484, 499863991, 725385602, 109436459, 403909715, 484308890, 870673102, 300168119, 108659727, 864126950, 538122672, 1046449377, 742409535, 984599276, 651859403, 370933584, 52632207, 65547479, 103657153, 216710553, 93151744, 956076124, 101956510, 714538995, 523510049, 187794821, 181412174, 721839105, 285126160, 468131375, 61262038, 225106840, 412600785, 868606383, 13145131, 291112425, 789685474, 462086142, 758092069, 831744733, 795481262, 744956400, 302744458, 275986206, 971341740, 135832191, 900215382, 731609981, 543937004, 546475305, 637539212, 889447705, 936654626, 972617251, 453002741, 90874954, 633559725, 196119565, 1060633644, 408569263, 48987353, 92529120, 925622212, 966678916, 969757175, 840556561, 651747412, 734771942, 566439498, 959909690, 107484833, 931034016, 153632021, 900278874, 519114355, 607136690, 540546564, 999078367, 904044154, 180301151, 796590744, 839953502, 70575279, 402100877, 952221925, 943184374, 263083357, 523134681, 865386555, 310203751, 233139703, 164259114, 827685957, 378933194, 860977510, 192520181, 53233227, 929929127, 595034521, 164569562, 518333835, 199944460, 630165561, 120375763, 1039451545, 157255945, 275771730, 543827036, 809270505, 341737319, 481534069, 162794099, 774056289, 107660826, 64383568, 683082446, 836476413, 645531222, 121364152, 259531636, 1024967511, 1027996141, 336311649, 350532318, 344126980, 558435174, 37914167, 733469347, 61399657, 161245697, 963976070, 204767479, 560850300, 638941648, 39845203, 375785610, 453681993, 517742046, 333972965, 698506915, 117976310, 679547681, 705669329, 729683451, 709963484, 594549491, 38357636, 408010288, 147140786, 411116740, 549361314, 45995669, 31146316, 933961152, 265797771, 802651541, 844093926, 760857886, 784167949, 252992350, 853231421, 318914013, 66636796, 482324814, 609323557, 92801283, 653079229, 604159263, 934715882, 771914, 94306071, 825562895, 63560307, 705241531, 754881676, 960722828, 406642934, 886732167, 514220813, 733011996, 958173194, 636784591, 855329003, 554585153, 892260515, 597420141, 815184369, 645205920, 562391687, 509830190, 162700411, 887871747, 981888560, 81433465, 916028411, 220847126, 819580451, 181523352, 78038000, 83752973, 985130803, 1020399094, 189629739, 592915854, 371072621, 616786474, 772509037, 120881953, 54899129, 416717611, 779120865, 319989130, 674540975, 149551554, 600397108, 536777355, 680636861, 476849912, 609445854, 116053492, 510731552, 584090814, 330327899, 717392229, 589123632, 379736955, 120705204, 1051367202, 414589567, 323904775, 1001840441, 770267194, 1025083432, 12292982, 251471842, 879716541, 242005479, 934802247, 146867870, 617971741, 257297915, 572056163, 708434022, 339358742, 184081697, 872960337, 123432945, 979948628, 782734677, 368304624, 570538813, 88603584, 79670284, 629764988, 939070437, 556244096, 204242738, 77379304, 777473137, 1002459091, 359485449, 814220348, 662642262, 620309055, 275521970, 413540792, 937771742, 802436791, 154778907, 733389861, 37668244, 66318154, 854674443, 522062956, 74102269, 702124580, 183284086, 908399397, 209835804, 14766253, 166812311, 120218543, 928611650, 962727264, 420562168, 915350531, 764006146, 997939061, 163386146, 913505448, 310134835, 338473508, 211961604, 545799229, 558083785, 879492931, 407419709, 165808032, 137098553, 384141399, 549063846, 1026428811, 504501906, 546011272, 681709645, 853999574, 941405094, 763424643, 99188563, 615773900, 640368446, 556210348, 83303898, 499432314, 421489237, 285884613, 792196252, 185788041, 910095475, 364443410, 21821412, 272887799, 341518926, 670795858, 286235928, 591455695, 112650340, 369378596, 502940319, 96061233, 954554834, 750372661, 360386840, 588624370, 898965490, 416091236, 1009173622, 241434844, 458430427, 424389246, 611905025, 753598000, 541303966, 126148087, 948733458, 955289957, 819109555, 741510584, 660933151, 147331313, 62301865, 943692, 672106167, 253028019, 1073153167, 284315045, 973820586, 158125750, 32778475, 103869421, 594195086, 708158132, 157181996, 574615044, 54493535, 997644495, 566180993, 865259954, 911195793, 1029737296, 875667829, 422876865, 307742973, 560013518, 348447182, 885127767, 195767329, 864248086, 1044471801, 261743019, 823838910, 257750840, 103361452, 477148839, 239749064, 453152699, 901457749, 147615760, 557027582, 561978498, 743027771, 1043361587, 828521055, 531557649, 210716411, 245576066, 399470971, 817888726, 1904154, 586444270, 94750854, 735839047, 1811952, 607125746, 905671989, 42567499, 1061527391, 1016330787, 1071894069, 600148844, 610112900, 165943855, 44813058, 193445457, 812696748, 321677190, 836194234, 118297237, 644093236, 707413885, 78053782, 475275340, 935099678, 137849416, 887353832, 179546921, 605866981, 1045985051, 155087369, 200826324, 571237783, 502816589, 527415463, 581853123, 628525740, 949261948, 263049674, 301964791, 556529306, 46267861, 706223117, 238710741, 919935389, 609882772, 767632786, 210779329, 16929228, 174687391, 731679073, 117751321, 416888765, 895159929, 1057087936, 837597357, 110993845, 534004751, 546164333, 891868962, 216288043, 636294834, 737926352, 361849761, 13743441, 295479455, 739961538, 959575916, 883569356, 903780659, 455935731, 262120040, 460861635, 588386971, 422270402, 377321337, 640637375, 168988541, 665296495, 556464399, 902101615, 190619557, 93262562, 14333901, 851331517, 638758101, 179965642, 176794753, 280977278, 683044665, 764380192, 1057824946, 529422077, 524713564, 634694308, 1039399495, 602983416, 962831885, 512638928, 890319423, 464251807, 93909918, 471845748, 291637691, 1023639013, 534962996, 538896494, 269497971, 471998667, 286555014, 825868180, 943490267, 945156327, 407679800, 603779346, 617448342, 746534004, 141443505, 47919601, 918037981, 31065372, 1017372672, 308606590, 345286888, 44027440, 642252488, 970302697, 396501805, 209172028, 764424462, 515439093, 1016612562, 584387204, 841706480, 879766929, 6671322, 628018623, 855788676, 59876398, 384327046, 544191913, 719879785, 88828480, 31186490, 997496072, 438435721, 621615553, 150665600, 712408449, 339993308, 681547828, 501969508, 180629031, 1011280832, 893663830, 740940476, 197430503, 225795564, 393906132, 1019703946, 839174822, 335101874, 360674535, 93252490, 864909516, 903726778, 898558606, 417061157, 800871969, 871534330, 422714019, 70625531, 203186655, 546350226, 68616743, 499148580, 816925490, 530695553, 345426598, 579707849, 583798412, 979401132, 733466682, 265490170, 432475789, 608929915, 441685954, 449093121, 334730786, 942195906, 563244916, 279514730, 790025848, 311631928, 368300460, 1000557328, 160093605, 604786863, 972002931, 696905774, 268247077, 906271637, 859199395, 1050729629, 27758350, 415432267, 998684576, 996217230, 727236809, 579095628, 766450597, 214014031, 1068418067, 654709578, 816802895, 838444025, 1072570247, 548020031, 1028476349, 892483157, 1008743138, 473664304, 158511572, 808343098, 1060106829, 73271387, 984002470, 700084155, 203361048, 884149741, 689527834, 123182728, 142694821, 773783133, 598592945, 925626941, 257897695, 588056427, 351373699, 904614997, 780083056, 710422912, 936666460, 571976465, 558930411, 489040941, 588146105, 982542557, 533551715, 921586834, 873186952, 1032234424, 762164921, 783098325, 543908942, 350166198, 224792344, 383383904, 528731373, 723817307, 708992558, 343936434, 893011956, 1014280604, 336318856, 288560276, 74526885, 624096879, 715754014, 135116185, 1052850919, 923606074, 394523046, 77520145, 623158720, 434174046, 150335563, 426965184, 483474683, 582469884, 361930357, 563980240, 722376027, 516267657, 689752056, 334481485, 928464728, 967611029, 292898369, 299239792, 526643956, 1060235856, 292454321, 495257280, 891993373, 512200983, 301937848, 203910769, 1039232878, 77004399, 980132029, 665042534, 974153354, 191217264, 137223633, 930861848, 715196120, 995085184, 100246957, 48847615, 879923461, 835046417, 143825208, 32336971, 657393966, 927350381, 1036884542, 143585281, 851740802, 246795304, 32708101, 510254252, 86531254, 312604422, 990927141, 395041602, 888457330, 899870915, 450062395, 921358030, 915566054, 227194786, 901886354, 716640277, 393997253, 827658519, 89986920, 211004805, 634028093, 888074454, 1044904720, 796028079, 228363832, 434435348, 1011350425, 606193908, 200720777, 483028724, 408884249, 86455452, 45424854, 887793816, 78183952, 765370818, 941611585, 925132911, 760380341, 152713113, 651640005, 688655876, 218570031, 749779848, 93477799, 56345269, 216441604, 21050881, 206887982, 678894483, 1006586769, 913918647, 540141781, 886569612, 637288007, 803720687, 97180913, 712083658, 417205485, 512957541, 726772385, 511162383, 724739800, 999480297, 18436363, 573072299, 583453419, 56247155, 602576644, 123523232, 640131854, 332836882, 439343825, 151967180, 314346303, 693061428, 894658775, 1029118842, 1021580046, 235715878, 122321621, 891271241, 284152719, 323472321, 96121110, 187134631, 57713996, 4215248, 1012278001, 910037733, 979530404, 1060229876, 860312299, 1068597800, 11334479, 49272186, 235948792, 42749850, 178681278, 182763085, 379797721, 673863337, 324761829, 122019585, 1049979119, 90576270, 686368089, 162360541, 893714263, 829703778, 202175837, 741289022, 240504384, 49836395, 983905389, 607779326, 1000193596, 75538083, 992673675, 809054488, 700461427, 392844800, 477518731, 126117121, 621092162, 236369348, 890218832, 532409677, 684239696, 39697301, 271242485, 887596604, 660832157, 573725711, 608334617, 924503098, 227104883, 257764815, 1016486642, 27100021, 869430320, 37625448, 345855506, 582121499, 3219275, 743117049, 390883821, 1004301892, 545780358, 77848396, 336566743, 483670798, 984147305, 487418912, 240139201, 192603559, 758568529, 208042587, 814160702, 103322261, 261274625, 323835310, 416199203, 749341299, 574751076, 430741843, 318240849, 581635048, 221451213, 588623987, 811926612, 561836322, 633200450, 57811753, 480208250, 337742940, 25376767, 41710568, 1066001421, 470019731, 586898255, 40981026, 180051582, 340717851, 381230013, 703524907, 228238907, 98678105, 96008180, 805308672, 1053676100, 216120756, 518058480, 978216369, 152903552, 603824582, 581703550, 133284524, 808259077, 84535441, 860262940, 1006152148, 31495608, 906012869, 703515265, 992752074, 1009741540, 592688564, 222730642, 610902902, 551637097, 535058439, 892554987, 249196612, 301208033, 747732727, 1016895059, 490198371, 109186780, 117693673, 1027497573, 277901788, 265461247, 487145494, 753213704, 507230318, 170346543, 246366924, 74497647, 66108972, 800178987, 214971487, 745122140, 1006695355, 324357985, 1013884612, 546266149, 191585380, 431750617, 803220925, 669988629, 69432624, 839425603, 336634888, 295711941, 581339929, 851599688, 286695686, 982764230, 113840617, 652484599, 740095955, 703696641, 37747159, 386360224, 860094945, 750445428, 749673632, 354448956, 67760442, 452089710, 644622427, 382836091, 714326986, 16674300, 893985173, 141306060, 979966366, 396810432, 551636194, 228030874, 517339857, 637462467, 894123564, 350905626, 467819872, 401371738, 733318533, 31467334, 1065402217, 361036529, 967997986, 44981617, 864028752, 285581984, 950100217, 95270815, 104248246, 326754781, 275686464, 832100092, 201484092, 365070484, 525940189, 906546094, 42945196, 354214296, 54390880, 280829651, 317781902, 945284378, 224614103, 1018551807, 960527415, 515046441, 350678552, 36136195, 752385391, 1053949150, 243874288, 653328102, 202908991, 517336819, 391148822, 289432753, 462515605, 55815181, 980018040, 798426752, 815156166, 294051878, 809214561, 875628907, 213882713, 547809531, 148261595, 75312455, 399333765, 272022854, 339829575, 749315794, 99958001, 850128636, 476282411, 809641627, 796073517, 409733907, 518359501, 549297317, 54794361, 324703344, 517371468, 66573434, 365455055, 243326271, 335212017, 257272543, 1066773090, 266427821, 1032322730, 972332187, 847719722, 953458027, 514446288, 676987410, 973898111, 718502582, 786486072, 620103291, 360927582, 413784252, 45269604, 808170384, 407746552, 212318317, 112708293, 1022245691, 731552928, 676843456, 279313781, 989439877, 252930244, 288250613, 908134775, 227853408, 414276136, 675059009, 514604761, 85222013, 164703082, 140670440, 333946926, 302368787, 492489543, 453920307, 336879879, 892997774, 419414291, 729572814, 993544603, 419109511, 294908563, 777334812, 593319867, 540696777, 1019437685, 102938005, 638076789, 391357106, 711180014, 115632161, 928966865, 523124400, 193150530, 885672344, 965923605, 262515693, 478639640, 91091361, 36776692, 292622044, 111244534, 789399827, 227333278, 306804505, 226276407, 166516773, 249961613, 112499368, 478097587, 879090209, 917640695, 372850398, 469599639, 157442480, 345431266, 288089147, 856536314, 984400680, 17104930, 6128427, 736508073, 399644740, 1036311146, 339101663, 89767816, 1027237279, 1059629276, 69338008, 1061193263, 51720733, 811165656, 762403001, 1039987957, 852130566, 524522603, 94388423, 378504855, 1018390556, 656754937, 803595058, 565085101, 891794350, 383339570, 491203006, 670989933, 150452574, 136228061, 313246157, 786666152, 265907638, 767979723, 718478117, 522130752, 18347543, 152231795, 463878130, 713389416, 791430097, 1043024506, 966196308, 959745290, 600664157, 49946607, 533101656, 313942558, 201913448, 544754169, 131813804, 668724537, 716863553, 584124131, 1013216418, 530589707, 332623133, 302894596, 62550381, 92955138, 1067966748, 581266671, 491091686, 359565168, 824462298, 626049894, 905454222, 309399900, 751882416, 362556110, 908383570, 544226807, 120453720, 851536744, 408404335, 33648683, 685613178, 663366057, 579826797, 702455881, 165534244, 816956829, 832744563, 695393138, 208791212, 946487258, 852811574, 105411671, 269993790, 159396586, 193912799, 98705895, 110544584, 765556975, 667986314, 822590914, 591087532, 214434779, 637041391, 664017607, 572860404, 94340048, 763800107, 277150837, 1025353598, 295019953, 867369947, 64985919, 466266502, 1004816027, 901854418, 342123301, 695044018, 652398907, 824011581, 95540888, 148287158, 217804758, 674552366, 389133145, 137642551, 262906529, 493515363, 546494968, 383921154, 760084775, 330537467, 667095048, 353082651, 630747714, 402778751, 570276658, 648365359, 746257562, 1031488058, 570603936, 789893442, 260170361, 1027867489, 503587384, 580984638, 410977773, 79336783, 274755827, 637625584, 714398935, 305903708, 454374427, 506002938, 845357696, 632709495, 270037021, 173434030, 104297105, 769423692, 299814068, 984187827, 511059965, 660308730, 314543299, 828361597, 860261633, 10714863, 713828193, 1024830174, 895357351, 947730781, 801673112, 215202218, 27863883, 912269468, 23328725, 692289890, 992953686, 941620794, 504658024, 395606860, 734632152, 186045901, 556049233, 654582746, 444874732, 180947771, 463063041, 615651971, 145140172, 441075222, 607118165, 432437645, 177917724, 438041700, 781427122, 547762060, 165271797, 104838261, 649679134, 567055580, 38186950, 397374842, 558812470, 304217933, 558908809, 280683773, 1047523733, 1014531227, 111678345, 881883316, 392554267, 285451806, 138620578, 1024955276, 690045105, 589426679, 413550613, 254610011, 424022442, 353509604, 1043352670, 161770405, 1009437296, 363352407, 881775541, 654092533, 57124591, 748869838, 821916285, 190232124, 194920314, 505547972, 422506885, 724336470, 775049806, 1042973423, 923512684, 924141597, 887124965, 267779774, 40579359, 743880494, 1042658316, 520094860, 102889983, 902792477, 1062120972, 998335102, 455739441, 253212527, 843112437, 231909993, 450358481, 999332447, 365565736, 686235419, 1053400977, 310056905, 558211813, 722523975, 366573344, 523364460, 19491251, 302191080, 177434014, 1040518129, 1068889080, 184131619, 424028400, 63480523, 44141175, 16761957, 941663990, 455942420, 547716517, 866576022, 767812396, 720912944, 854754724, 836708642, 24379188, 239242906, 41299081, 390153019, 635786644, 923408331, 656472286, 726138215, 291606235, 179746252, 974368360, 947576134, 905034266, 175516155, 695001418, 132753759, 339286597, 383976915, 534059378, 201679000, 90680362, 18070701, 395883097, 448388848, 1045982901, 505110244, 1054785090, 520374491, 1003384117, 653621515, 382895367, 173513727, 78180843, 90674970, 239819319, 498495028, 640012039, 849762386, 548448998, 892234537, 577752943, 352114983, 823594304, 712190679, 1027187802, 186100900, 879813218, 383119400, 269494581, 820466597, 764711122, 847885435, 711115557, 210316293, 599925602, 1024177856, 464320282, 422978626, 677469652, 4833117, 541139255, 599948854, 781593167, 592859657, 748474381, 7274937, 455859941, 508621390, 452403212, 636665867, 822119473, 144830462, 556750598, 1006903260, 581044455, 824874282, 675812815, 167896044, 962138616, 603271369, 367179950, 739186941, 366986740, 41297912, 879562795, 803884811, 14505982, 784287907, 33819248, 405252721, 589115392, 244165447, 1048371113, 48145728, 415293066, 651662626, 160813395, 265186595, 922972009, 1036397879, 488115443, 447448751, 492319035, 282780734, 865809333, 98098728, 757442837, 53551453, 742495717, 938825903, 606932287, 694703901, 689918813, 838390393, 791119780, 137601691, 255421262, 391873121, 726085359, 208823242, 350129346, 867696769, 623875199, 378409513, 173287966, 1060585183, 102611380, 677641547, 744882199, 849358064, 798323874, 26451116, 503927997, 621751391, 861664762, 473974712, 993545561, 72328186, 710157694, 758699837, 198666072, 495095965, 496102943, 69764494, 952423099, 373881139, 231802653, 159030928, 790309190, 999990309, 419209119, 413275343, 35875200, 428443586, 163848199, 539794542, 959451710, 61904788, 980571122, 700886902, 716383553, 652547615, 1062976919, 126420064, 649419850, 572820207, 1032472468, 603923948, 399157674, 1025071344, 819719761, 234555199, 844832565, 29806768, 541240531, 455686502, 973948515, 324158413, 544507532, 26461390, 1044010956, 762098373, 672808202, 499184628, 650726832, 416427361, 534554483, 267124569, 349327599, 755955392, 139737851, 273106281, 946663873, 333308550, 820994354, 1013601789, 172239150, 796272048, 880744771, 937297547, 2126797, 42549697, 920101148, 592995199, 188413392, 523454537, 817408471, 656269612, 711346925, 1061053532, 744219984, 242949620, 859942770, 501731235, 228799118, 204438906, 766585443, 133865775, 742742550, 135119715, 683800727, 374330620, 873499044, 436643584, 284427401, 934739619, 344694866, 715552341, 563592597, 552770528, 215595956, 714022307, 787101385, 384650376, 514974607, 302157762, 188243477, 507622768, 899713056, 392794342, 136308903, 226918468, 488983719, 332631072, 51429886, 496659659, 100823915, 916445119, 728802409, 152077166, 935248910, 526549433, 717789053, 869239508, 45630848, 365920125, 806192064, 37601501, 174153441, 761305080, 288765285, 598340041, 284434868, 326934438, 488746190, 190006644, 936497223, 757996004, 1072920930, 687840888, 614358844, 752551845, 324939790, 666104519, 915084960, 594993233, 1030408362, 476894626, 1023733183, 787154057, 322190335, 137046334, 327714703, 768739084, 634704421, 897054857, 500429219, 951781821, 431297371, 92260357, 1003544330, 132966031, 126467901, 315470574, 309089868, 170474605, 180483414, 352197967, 281792290, 256084427, 866552218, 125267846, 478193552, 55110350, 139313868, 135300611, 16730118, 388581879, 908252756, 857639520, 501292773, 636380860, 102827775, 104254854, 105543481, 484355656, 445841842, 480278858, 844278393, 443917284, 1059996784, 623237329, 699389012, 564690701, 958652157, 206080915, 538276392, 738521455, 223660455, 834165022, 62623533, 264277079, 815876650, 573330484, 809250535, 300205502, 1006020465, 147748519, 119214860, 938208959, 84087548, 443294201, 1056878470, 100982425, 867291449, 693456083, 670802593, 677693081, 286317523, 202518204, 37903543, 545854993, 102005212, 618384513, 908718799, 614287499, 922857585, 753374802, 1036924878, 784315673, 555410466, 285609796, 807075616, 319031367, 568687747, 107229801, 744243313, 484275963, 461099262, 625503175, 179412334, 948623860, 178581235, 740138477, 106459660, 534960981, 996748015, 888607125, 13211612, 400549069, 508268210, 104011026, 1065529403, 755358427, 67175381, 623538527, 933662902, 769303806, 464595868, 561286376, 656662530, 745310111, 666300387, 996207632, 744812855, 1058257945, 363212367, 1064024512, 10631812, 18550745, 518240814, 259664025, 461031255, 608644211, 650620626, 293909677, 386641803, 417861758, 82852109, 254838125, 50351029, 538448670, 261882083, 115487515, 948895668, 752028146, 408304158, 156636104, 116786666, 30103855, 361179020, 850702707, 684957710, 943007535, 957802730, 885710817, 168913835, 417743699, 300265240, 564486171, 716561989, 888607424, 1039051747, 924731356, 727200588, 20375972, 586992509, 281070806, 702218268, 831287408, 989949495, 410180037, 63516094, 706914320, 139270556, 862606921, 874524904, 26454007, 546147718, 728343110, 242278588, 381222084, 588950826, 661139227, 1012278670, 1021605008, 501293656, 971176226, 86143121, 985526328, 953059789, 408369264, 391197769, 313416339, 558672571, 231497392, 524589487, 10993876, 623859773, 125814588, 45339902, 768112651, 979428076, 120201478, 862857950, 125204907, 820979188, 425826930, 331675686, 425284281, 528158442, 762467775, 336480638, 641277389, 874570130, 963767763, 445091427, 130832778, 178776736, 1003424367, 1004781980, 944444048, 826916785, 240521474, 153826002, 539643711, 415698257, 851297188, 755360970, 948613748, 57830235, 638671934, 657599522, 523172465, 1012888007, 84872378, 85394144, 371445773, 988196069, 632250192, 549926948, 899772564, 1003808604, 76306209, 341307242, 58946564, 871908225, 815755559, 648227515, 137055312, 927835706, 861942702, 942378002, 61276189, 59470279, 650237210, 233112051, 1041226463, 936358526, 974841607, 178825991, 150884252, 528666416, 245115655, 627003423, 612138834, 413605188, 102487920, 1022066075, 827632940, 30379219, 159954285, 773857425, 72682427, 591723761, 145072087, 750451958, 963659049, 939024377, 498447041, 876787950, 143977456, 788452166, 655859422, 396735694, 871518386, 237778371, 297546477, 679930791, 847006148, 1047212433, 619592506, 66078360, 935794691, 309332347, 83294854, 814271537, 97359423, 312394360, 533014897, 228312468, 206934566, 365392195, 67820844, 234779140, 802835499, 695295093, 660508981, 946926583, 669567115, 644019671, 82243053, 936799294, 150503220, 755324123, 79380950, 29582541, 309163336, 246366134, 856283567, 376215284, 896813130, 951328475, 495161784, 474103466, 148210261, 920675378, 906592952, 816970881, 82283060, 692283374, 288241113, 241131328, 702496549, 455671331, 623175077, 618907607, 355840643, 622898801, 1057448138, 307377860, 578397370, 16536944, 663149317, 372651515, 677976924, 909145738, 760524190, 387498630, 264007879, 225526902, 678823031, 778472059, 597373113, 494639789, 228665541, 162016104, 643240184, 125005562, 12813646, 646652666, 1004915507, 452875413, 553118773, 9961348, 327833868, 354373830, 398468028, 220026911, 416105625, 663080513, 687163160, 639189157, 610964962, 450977842, 133915636, 985377704, 856900067, 697413456, 714967786, 973510853, 922423064, 1046467237, 1030135913, 257027351, 195472890, 219780224, 629101929, 210481962, 821078704, 50806163, 506878528, 357609877, 1066129585, 1028142930, 162939142, 970620669, 1041808053, 648822623, 7946956, 451156706, 351536908, 512578308, 880457949, 289899380, 971511228, 855440817, 1024726341, 86366916, 894751037, 586057287, 61432466, 165477114, 535922314, 416067907, 970345703, 856116253, 1042206780, 804067776, 730385419, 1021562216, 532168067, 867346428, 307803507, 1016872594, 903460338, 460090181, 91531995, 11981124, 584481718, 2984282, 472458401, 536871660, 280614030, 51651284, 252759876, 191710638, 375433386, 435440781, 896013879, 200983647, 738259621, 258569708, 771477145, 272607962, 386961102, 501954304, 814149961, 557058866, 587374705, 515836660, 290962121, 89261924, 223454782, 397045262, 1017510267, 32077973, 333991245, 577780219, 841809491, 430418354, 697580197, 722272371, 4438892, 785357497, 266777760, 89993428, 942076525, 969902711, 833558239, 586581672, 759517921, 12790128, 769807773, 822264993, 154960317, 137681847, 798328689, 244706072, 186512658, 794678160, 522457088, 181275995, 736016169, 437365259, 366143074, 690505976, 349915395, 481969157, 784349429, 783378983, 450082416, 358613983, 177648275, 728727411, 818272754, 454085062, 671671093, 723682924, 400298850, 740744482, 630055995, 369869535, 842456151, 438733693, 614757131, 995818048, 356514067, 902149952, 464093074, 601953852, 735361455, 135732227, 121261895, 328373757, 548440627, 1001006906, 672973005, 700615217, 301847382, 152035534, 470056982, 535622410, 311472492, 491733775, 951691530, 219913145, 421263586, 492135088, 317206761, 370017751, 125868516, 649825213, 962207266, 275439123, 435450835, 710542466, 798463963, 486541798, 400289620, 925304867, 801316192, 669621752, 259083285, 205962136, 745699016, 815534330, 385176552, 1016224318, 368805687, 717118144, 105152408, 597891071, 562066515, 420814145, 939674734, 708880358, 118609197, 748753053, 13284960, 648732664, 748216039, 550024126, 736154004, 538561969, 888679740, 594800753, 897514238, 521986642, 533309472, 867834411, 147255603, 762193873, 645978102, 911754824, 461519775, 739280621, 209898663, 453091453, 772486364, 330285568, 756043550, 249438459, 391472543, 720141107, 889022208, 615723658, 1009700562, 284107816, 697373844, 1047194545, 927887710, 794591886, 679972015, 993918535, 622736688, 118984724, 57825420, 948785989, 172700498, 764852609, 840421044, 310367687, 621721524, 593453103, 306879558, 156787609, 173031465, 101477351, 851891125, 298375250, 60256174, 837832804, 531607739, 976069970, 395605097, 767247459, 280846209, 634779691, 280865234, 414380080, 772600636, 306214428, 1011437819, 505197313, 474258787, 734615571, 542998872, 730882967, 819183750, 1006307523, 158822633, 1012201335, 752757490, 96848954, 382012820, 993109717, 560470125, 1054735687, 161563368, 18535321, 310416727, 96739310, 369061104, 836859928, 583714005, 867573261, 939054660, 233106151, 678376200, 94715495, 833920855, 998807581, 61200527, 873105089, 402067639, 230703149, 717711390, 404724271, 122530361, 1013487348, 204350356, 613252005, 765732692, 161954549, 756631662, 502864376, 690051581, 446877183, 976082819, 1050225397, 338155773, 984453191, 852419831, 604921532, 317802484, 647052416, 567375637, 807096667, 641589521, 383190546, 1024741493, 601930619, 962646461, 591392002, 31504354, 656104290, 776422446, 467721705, 288155279, 319308733, 231572814, 1053450973, 992002384, 853473276, 390846003, 598352751, 83738147, 310141502, 135326432, 78899865, 105977026, 529329949, 396709600, 1031623683, 1067048136, 318902209, 903593737, 610236312, 403651036, 657167308, 255793414, 773262902, 959221033, 51234448, 406150872, 278283024, 296432662, 782635304, 501301964, 724418884, 150068836, 639139610, 666978560, 901055115, 325830657, 590765679, 722234546, 667951053, 788571462, 36778742, 501020189, 614393896, 577957740, 954804605, 458913318, 324770468, 1039639682, 817840525, 705550313, 747122018, 597831, 665080788, 830492585, 820908567, 423229979, 33499688, 524304121, 338115400, 129568551, 853616780, 192787707, 519608878, 1028021157, 905253019, 587649366, 1039773070, 47761155, 1056076138, 569190392, 255757986, 666088946, 799699122, 298230120, 844036162, 393648209, 101545067, 613308367, 70416760, 345311996, 931334638, 539092451, 676945174, 487518614, 902855994, 167960569, 746271330, 180532810, 428332120, 581661388, 928472159, 750947834, 698479785, 427910980, 621283599, 752069163, 882418193, 368518799, 33036274, 993448536, 655012998, 88645867, 574817586, 598998868, 137694805, 873081265, 1010751922, 158565009, 138940353, 420969072, 912828749, 552592365, 435756099, 910736887, 891679965, 653094453, 1013783476, 296925823, 888689294, 831954730, 416721619, 926872974, 897793119, 626796562, 726694705, 519458902, 177182993, 928186075, 492489489, 914820997, 171187848, 294839536, 490268659, 549685002, 321802625, 837777398, 1033539478, 586103926, 95887358, 804700735, 216294430, 1047939251, 459551196, 923602952, 123100486, 282705918, 1014566168, 435933339, 486988108, 695391679, 584740080, 448730137, 391864993, 301574828, 377150558, 471373023, 473468905, 295271409, 982841867, 622102667, 632118073, 79471528, 1004057060, 35004159, 330968693, 424360618, 455657023, 927233730, 208400932, 974084587, 336008192, 563577199, 745989104, 96758616, 39757563, 3276232, 779828057, 183183631, 910783922, 950235374, 611915526, 30731850, 677553780, 849973219, 337507390, 830874938, 664914091, 331776785, 909403077, 379018640, 35073035, 177538008, 698068131, 924230029, 128304104, 192863774, 936802784, 598888284, 370997373, 482874588, 225551537, 382897852, 25873619, 165213700, 215272104, 1035065124, 546268807, 89887538, 164120296, 89422643, 855688820, 675543188, 417598492, 814891469, 322691610, 979714130, 244359178, 1059403477, 504343645, 1032963896, 234548213, 430134677, 689247430, 110228930, 1054132421, 976438205, 942784770, 326310912, 262396140, 321231362, 202339853, 893995376, 569791299, 174980435, 422887292, 408612562, 182997826, 31000860, 244920378, 520756218, 197589231, 638492714, 986269677, 775602817, 986164308, 797776748, 137576390, 703226675, 431684304, 68188082, 400354005, 442891756, 853522169, 693172709, 333700373, 588319124, 469923897, 708623608, 467572273, 70480099, 754832411, 675415502, 26092354, 447555945, 203760320, 498306044, 204853839, 538163984, 452385384, 382176278, 3428184, 927965048, 327336817, 803450708, 955963335, 340302655, 896207584, 151059596, 890548974, 304867235, 334713978, 858374493, 707588300, 411175116, 626624935, 422612743, 258520053, 863957349, 248958373, 610484258, 872414768, 755681302, 949960394, 374357168, 592739791, 425968594, 646747904, 477878178, 840998223, 1019806835, 947475359, 1060560489, 652972777, 449478219, 154277778, 777385186, 1000626144, 300668993, 931044666, 954237686, 315714001, 742586942, 840780574, 595448058, 392515593, 70134996, 927869897, 892165539, 924206083, 1060753934, 680768450, 508858576, 751348040, 1024239355, 461533870, 475655337, 975916257, 415174454, 363907312, 1041534931, 568605433, 114971777, 316273049, 228279476, 1015325313, 565804834, 244117651, 11861333, 664881186, 797943288, 374556869, 733043782, 492890801, 698172318, 1032598733, 1010222566, 211008472, 39002194, 895484919, 20229070, 246676905, 340886629, 912754583, 854377791, 687370731, 688775981, 165831150, 265197893, 231257544, 686216714, 385764416, 88708802, 47370100, 670465231, 996875882, 642901129, 906832067, 823275491, 307014175, 857168957, 867950876, 490180499, 343944765, 7256395, 1058488039, 105265583, 828566664, 127495009, 409428704, 813173943, 866773364, 828642973, 431617615, 116096052, 517435945, 21422459, 912271916, 283750822, 987582288, 718166810, 437641921, 829676127, 545185399, 244737029, 381877819, 575907815, 961539472, 104071544, 577780269, 753213008, 109911276, 408197346, 252316979, 462006619, 865356683, 800343387, 997403453, 527594839, 403176515, 115054004, 368525307, 462952706, 613323082, 107755830, 397134581, 930477652, 1035104993, 579770171, 195414895, 56047318, 366038841, 652900931, 324880169, 613180333, 501094376, 782805721, 808840757, 1047392739, 931826952, 62120289, 475673144, 921240483, 847229797, 941319237, 485404472, 489075444, 978483642, 935938019, 149371498, 541948108, 799494850, 910985466, 933759993, 110232819, 87565792, 574254540, 751837959, 437254384, 850562026, 89646163, 455339543, 744524523, 211324583, 982728577, 619111344, 1014176036, 151464272, 26518375, 1027867314, 537100829, 599709886, 313033306, 41002269, 845437019, 892386683, 60611980, 978987742, 973900282, 193488475, 102744418, 229408016, 776519396, 334282556, 994022331, 257064903, 71985045, 338341691, 312136833, 416915363, 882030766, 584116035, 134258156, 764447972, 343336750, 727658713, 663991692, 787010289, 606801561, 611186640, 795308456, 1018284648, 187132993, 234439306, 795776233, 244935344, 652982104, 979174727, 904009689, 107462999, 992897018, 746238470, 814027151, 784607265, 231019064, 605468016, 202532472, 219448447, 752174177, 713426128, 823782697, 446925700, 200485339, 346258006, 831274705, 496365120, 439888098, 731274726, 443873538, 7602711, 436015586, 547649927, 327900286, 767775464, 567179621, 7633224, 388822293, 716822805, 149520737, 579495864, 660218391, 83782851, 484431949, 348847687, 472172080, 357156189, 304567284, 387919643, 609522639, 582973246, 818790136, 553869981, 585438736, 594762470, 13786444, 339855660, 206439091, 461541493, 842065157, 33360973, 373995123, 755788397, 976790825, 88203148, 847282768, 649339927, 763420493, 102556785, 992782488, 93209276, 381603414, 512059720, 686199047, 128568013, 970949383, 312883708, 783737441, 815067625, 330884713, 980226027, 814746723, 157935860, 140682637, 798639625, 841120139, 978208353, 193947431, 906824880, 815555871, 682496453, 99862446, 603972386, 792019595, 687351044, 1068427427, 492648393, 797200567, 614891993, 1031697555, 82902866, 959208886, 265075632, 1037224103, 1010065612, 110672611, 82251137, 884717736, 334422821, 829725598, 219459869, 474848402, 732182339, 184236813, 1047365317, 984260970, 642827343, 314866538, 625302902, 494477601, 590224867, 717130897, 187707725, 59384775, 410282037, 937700203, 138840942, 178352190, 609836902, 43289737, 773773959, 49800251, 600330431, 40879535, 946886866, 427269302, 720544738, 445166256, 298661453, 715844857, 169038862, 335275063, 984666374, 40855427, 755242945, 900817944, 1060248994, 1039080971, 721771682, 335157092, 16925673, 622953524, 148065105, 743117551, 413869632, 494192286, 743783807, 13249254, 109827098, 23532585, 931553004, 268789394, 959193672, 366724229, 952513645, 690538590, 721026785, 971301156, 1048704701, 720678085, 405190204, 864579433, 180662091, 988668062, 314979957, 623328552, 275941873, 220750844, 169745649, 878611269, 138243305, 499679083, 142676473, 51604056, 249989878, 688202006, 539998603, 455575570, 230699259, 148925536, 32425314, 213445396, 1051378686, 99420626, 138409680, 110765435, 806825546, 111737421, 15613587, 201270005, 475003641, 30956594, 239631387, 527740898, 1053964769, 807491206, 477847904, 289108731, 643864396, 1057077242, 430027311, 851042441, 232387339, 896021698, 177448445, 490585083, 635916212, 93092271, 607206238, 325785826, 169123589, 90017608, 610703191, 210568990, 34688913, 870445068, 688511766, 236988740, 563592717, 518507977, 945430164, 383246721, 928978289, 715521910, 478941576, 609062797, 899744478, 631599388, 1039377944, 399409003, 241523843, 158213192, 877480098, 267749765, 844405413, 697405564, 816050919, 982742347, 94149241, 1067726220, 989082630, 560268104, 503730326, 50083107, 153852247, 627837982, 33326447, 199823777, 694166439, 149024488, 478153694, 915448223, 818522223, 934173754, 134181618, 46046389, 90912936, 400964108, 320384553, 685639750, 565917512, 16157141, 190782128, 180286231, 834747604, 293936969, 372020371, 723638296, 735293320, 742147192, 52939693, 112249843, 814387703, 1040677680, 973563030, 952795412, 210566470, 800984530, 117407700, 1014756121, 882692256, 1063449315, 55565985, 1027755800, 654140166, 1020635989, 1005314068, 397656027, 431496032, 803666885, 43792376, 734222736, 712847933, 118692986, 285788285, 367227714, 896793967, 598911711, 398226170, 415968272, 622339698, 404676809, 791456584, 916128911, 253403549, 81902720, 1070779604, 56326622, 303276760, 936918911, 3899874, 1015691378, 158753872, 7602416, 774165872, 464257884, 851129427, 886064302, 844888426, 946055185, 466434145, 737403580, 117941144, 368849572, 96698036, 611326017, 622891698, 454514902, 485225551, 782918121, 630863485, 198248558, 470090434, 667414054, 108634237, 646123391, 318789369, 353905644, 632366220, 800604319, 148331905, 100292349, 529914658, 679184288, 384139096, 1070248512, 606718034, 959345929, 918157285, 505544252, 796009260, 25802084, 920511095, 466580451, 65401320, 338440482, 674854205, 264321740, 915114134, 841352752, 543584379, 191521194, 576160017, 649837416, 912829395, 147612182, 113489971, 792012044, 289970749, 943993300, 672805739, 669630952, 118923002, 997756263, 845405176, 479528129, 424882236, 443420847, 276958286, 556756536, 1022878873, 755363100, 220983021, 745614132, 939506655, 952197020, 685063986, 882679814, 652869245, 814199850, 923548590, 334078939, 827461857, 832721137, 527560592, 523627315, 407025504, 636872740, 828508522, 510330320, 621150853, 885894507, 172910255, 679210268, 17925117, 1038179172, 174833377, 269240754, 732399466, 640252497, 950897512, 986783430, 309619819, 567142962, 833968138, 537637450, 321813900, 480944659, 862780699, 772294302, 88479288, 1058985670, 886735139, 798890570, 6293124, 339330898, 246938108, 244675079, 726796352, 1059263973, 943605754, 208579838, 1000321254, 621676540, 345243309, 67710026, 1039839472, 746873059, 683044912, 505434462, 505628914, 933866765, 109274506, 437895573, 74586693, 864796363, 468500501, 147238950, 308289904, 250096787, 999027068, 639062510, 812494455, 730295687, 90941568, 574300079, 53537644, 728820573, 356275095, 660829138, 969657417, 811241562, 509771970, 50628305, 209199452, 970050895, 38783172, 1070304388, 295793448, 672280016, 394220443, 546713733, 818168396, 562183190, 96501257, 528685610, 1007763911, 1071324693, 835617457, 770540286, 160917559, 1025527992, 392593014, 979269596, 972588887, 807967467, 578398534, 1008254170, 85575533, 637868033, 26307141, 608464821, 1003042500, 613722520, 383916083, 814101629, 1016445801, 427982453, 155600873, 400961106, 85275363, 421493044, 1008994193, 463138829, 684128779, 1037384910, 693587779, 35159010, 886784852, 235956856, 571589824, 854247445, 346501244, 880636863, 334060924, 711771000, 922957543, 987861449, 486743514, 208109323, 743414694, 152506611, 375629855, 159754931, 925254, 861451453, 187579016, 652482430, 98276126, 823518476, 388795090, 563947983, 949878727, 499609485, 837043584, 193763467, 219978899, 119823609, 808654424, 78960164, 719133592, 713284874, 998003820, 520680325, 1016826959, 159482834, 904232764, 332199633, 222267755, 345226879, 859527026, 540749264, 382788345, 626912834, 450927173, 619059758, 79221542, 816769154, 118945641, 675121645, 579947291, 63220399, 367688223, 1062154916, 864947856, 888092286, 238719217, 812757525, 685663188, 258454010, 1072768154, 509648841, 77075520, 353933674, 111312357, 230684447, 225632928, 749420035, 15738550, 929695929, 354659527, 241974929, 399729613, 916275547, 498938452, 632037948, 555315409, 496745052, 564678705, 577494864, 372108415, 791738085, 624258195, 983230043, 818460269, 320244076, 119615809, 356600886, 53876206, 646906216, 797594047, 459070602, 764070592, 832961273, 917454030, 401210420, 828554844, 134506766, 870670907, 1060147481, 643872538, 1051056941, 517586782, 569102737, 279005870, 183633419, 247053410, 40764641, 1048758955, 898285058, 1003308320, 1068492400, 836525751, 742047818, 157860278, 517761116, 316003498, 657086283, 287629113, 487455782, 69377413, 367711989, 744192921, 653358292, 121808624, 153490140, 133399928, 373597551, 447474506, 653176422, 639492846, 304362191, 732563737, 353613208, 772585021, 534783139, 118203698, 665310657, 764241409, 461847166, 506055764, 636398918, 433192613, 980894412, 478659475, 229653627, 840890435, 641824640, 640957199, 357214023, 672427850, 486012205, 108945479, 1064164575, 653060805, 699551454, 325117457, 441287977, 382747583, 71750534, 1031592528, 159234133, 964471064, 893964587, 40119044, 624055058, 475593832, 386890419, 242483096, 820563491, 376808601, 552205582, 674501237, 567420753, 111024438, 719627010, 850128474, 690885779, 1046205132, 199625818, 544437429, 877467428, 608814841, 606092868, 677808412, 421526179, 822694596, 76531722, 708292192, 217414748, 1007037191, 703969615, 960196896, 419243254, 26338042, 470080970, 283942306, 44095346, 360682577, 14384291, 271046855, 581428520, 650799137, 256965750, 105443991, 544030518, 589099201, 626200586, 887194621, 336732746, 71508476, 93725272, 810863029, 61439741, 21414557, 47609492, 493618896, 18534010, 546546026, 533283273, 256242576, 720163787, 1071665081, 352339287, 816724741, 148442071, 195152925, 815627695, 343172171, 950073223, 684629213, 829267573, 551103494, 458357716, 1049695214, 811730905, 877922735, 648457048, 812061050, 296289987, 561241160, 659130536, 44814873, 674311411, 614788258, 37617949, 1006751301, 779443492, 49774535, 175537950, 929982436, 163798086, 724774991, 707900161, 425774797, 596767295, 1046948510, 23368759, 363854843, 1028258149, 1012261592, 129078443, 35059546, 90832022, 568879137, 722838731, 689479547, 237757287, 93114526, 1032993928, 437238840, 100615709, 960003241, 617357276, 621893111, 823021444, 891489290, 440134693, 891993733, 574923845, 25564073, 66454637, 899848770, 198924404, 742459616, 342246646, 143804826, 1062661583, 100616421, 40161332, 772476984, 207166881, 38672353, 385942392, 105747530, 962121904, 834597094, 511543357, 681828306, 486848180, 323631920, 525664132, 607053265, 778392075, 275370731, 1052215507, 590995417, 859467532, 382956844, 209702331, 459715136, 460679691, 695188844, 499835501, 342539257, 829432861, 120078715, 635514441, 942220501, 599464820, 510885929, 572445508, 88678123, 159233792, 475698704, 364943278, 21692401, 284248255, 1007031956, 499528595, 95158451, 1003162490, 215286465, 68878139, 694159022, 45419333, 2685007, 433483466, 311045713, 163792385, 1030143216, 225815774, 1067947792, 190476519, 830079995, 1012675714, 81137547, 385485903, 859698154, 525878994, 1042138331, 607207950, 658969528, 211323829, 797815712, 621950350, 641284287, 672503701, 3805268, 573997311, 365387775, 898513962, 91433400, 351686547, 660913751, 1032761467, 645562899, 171264440, 40003077, 241097557, 691404057, 312138451, 155209498, 902834194, 203509498, 124078777, 524671244, 664226676, 876562252, 544302221, 1013776889, 927912385, 481711272, 341942152, 43139740, 112294993, 146957964, 696921738, 760766786, 717408637, 535160349, 875495438, 434720006, 587647716, 216408091, 329381230, 106054234, 143004054, 418168502, 30662800, 1064571715, 610752706, 1034809968, 446559190, 140228334, 630040047, 673793894, 700393403, 553197454, 825695448, 839267755, 539290119, 801263091, 609898531, 906203910, 310340932, 612314516, 292004917, 745658633, 697686640, 566324597, 161528851, 599859807, 163302047, 537315543, 609204928, 873542200, 191248706, 230911852, 323709888, 412191739, 199268419, 801943199, 611193066, 303349952, 11631857, 554866860, 1032395965, 891469092, 813672934, 459444183, 573134223, 616432559, 922531390, 799008911, 318413496, 816620229, 1063031410, 445903200, 1061110871, 1031733814, 826301570, 99704924, 428732361, 683145345, 133098, 307496929, 503803407, 428152713, 454121107, 363181833, 347428107, 743719693, 396339406, 25159041, 1024502847, 181939768, 1052090555, 71380715, 685582855, 302103909, 883571535, 702390079, 208847721, 203256064, 633973028, 764707161, 1064332859, 486673803, 1019445841, 691442678, 1072147588, 1031096413, 564084647, 931908499, 946893896, 379845734, 16349619, 1051461797, 960659695, 821542018, 990271610, 564153281, 257355642, 179652603, 419844267, 489172712, 531159129, 740852655, 93415880, 521267949, 553128413, 387188963, 917106289, 22425425, 489869891, 1035038127, 483002844, 782200168, 154234613, 539871584, 77892549, 140761701, 36525756, 428381266, 292866033, 308849460, 122374949, 518387320, 299867628, 493435392, 305864237, 501436416, 846844474, 283927552, 370861633, 330264300, 612780026, 60420333, 145124600, 112994134, 845848027, 418734085, 391999946, 295975793, 305839074, 902554184, 759802280, 745962306, 950504889, 1073645121, 684793622, 1038396122, 961254090, 34373542, 521148110, 305988237, 644529511, 696373878, 460558008, 196230693, 623447069, 165030489, 354366324, 343833929, 251753978, 2937639, 70275118, 137977125, 830812986, 64076651, 673902414, 354012733, 884947644, 348584633, 1029285905, 988368539, 739265458, 440360122, 963146668, 1040119287, 937631105, 604668005, 188857786, 141883668, 534349121, 599170379, 520703159, 722579888, 610211526, 1051397209, 223401036, 997164487, 764341127, 603813304, 752389214, 228790135, 967699685, 595864606, 667484854, 430180263, 772963177, 63266014, 243372879, 807282949, 359902554, 849784607, 145080424, 529772737, 436505955, 244775749, 546482669, 105915396, 362799757, 956964688, 591761955, 708716411, 1070557974, 1071386706, 1045355573, 653153285, 86999306, 176661335, 1040692335, 399168180, 55707985, 22268230, 136868565, 242510617, 863828519, 1032305450, 118709043, 796895280, 1010264453, 136994097, 498809382, 688483690, 789914734, 192823919, 309986985, 810737356, 867190758, 1070734417, 681154117, 23870182, 437694074, 192285407, 1027612094, 282035444, 205172240, 1036800805, 114100336, 478043016, 10443001, 195623792, 433157032, 689897224, 905282459, 410438070, 30542261, 59240537, 980598151, 401006429, 593077132, 875571921, 332462755, 472659025, 472089952, 220904266, 112636273, 151936624, 466477116, 606034141, 694452951, 1062301071, 570218496, 785356619, 913342915, 219393556, 21256226, 274322590, 748301008, 919702378, 77513624, 929911665, 1070659914, 49265162, 131222366, 125807895, 1019306055, 616044457, 124630464, 681451299, 729829208, 55644660, 613997293, 127006241, 890930657, 658748524, 963460488, 81563069, 509364818, 593719494, 245034512, 516148729, 492671256, 102921035, 410293040, 339971403, 330980264, 657996208, 651969289, 500166580, 706550049, 676189272, 814945877, 642409943, 462258268, 273644345, 980369228, 264947121, 521721624, 529560495, 795330966, 374108179, 17829209, 1067913108, 689463496, 316037927, 1043632007, 802277890, 482510467, 946282190, 1050674745, 214536940, 256869521, 662355172, 491168998, 638710370, 920951920, 653337439, 54153776, 556923293, 427896235, 238900267, 794525298, 1034618996, 103733644, 359094963, 882993924, 266027676, 996409273, 539106785, 1013172627, 609193924, 822693901, 515960344, 226288074, 55856979, 173686567, 679602119, 686832120, 293421815, 726645218, 829721283, 69240294, 264996723, 451651101, 427393356, 671737021, 426597322, 959749528, 931353114, 997562830, 578449898, 1057104248, 275018071, 477232649, 324870785, 98552768, 35894048, 38530014, 453798855, 355799223, 583868513, 1068108803, 391036080, 645241978, 172470309, 818248298, 1056176989, 118456486, 175637560, 974287010, 626873987, 139252978, 186727099, 195754126, 679308438, 198022704, 343418830, 1064424928, 724456511, 1019769279, 736342639, 81214171, 146643869, 852880456, 495803392, 541669768, 1047147084, 835280574, 130301429, 747412057, 792925854, 918890754, 724599719, 603388582, 272706859, 724737522, 432616370, 178786757, 984865497, 1017918281, 131024311, 373762157, 581720328, 55511242, 919802276, 142255875, 854220136, 233964587, 644923941, 206945489, 459479636, 371924570, 618123890, 255625996, 732996600, 10979198, 846663603, 392346897, 1004895872, 281817822, 864134937, 415575259, 120368165, 766218735, 748640856, 48915328, 532050125, 1041961944, 256708668, 78697644, 249402222, 197885061, 246882395, 731311324, 282323006, 1036304900, 359940713, 224979719, 121668873, 928767045, 673014820, 513779071, 842519026, 335613404, 872195837, 46990862, 886636112, 64471975, 638461493, 756053890, 938494178, 680102563, 903096762, 118337149, 6304205, 531955643, 1058159480, 534494609, 44406104, 1044191547, 725593372, 934796099, 228054071, 208919164, 1033431820, 901340330, 606832929, 974992492, 819098414, 322375433, 587096823, 728370133, 711991941, 1072118877, 1064947206, 826289988, 842807439, 190960285, 290627796, 956647167, 919028028, 754268924, 975198586, 621960967, 1057219390, 836452368, 253644756, 623817797, 234666724, 684453722, 197980954, 355238660, 161056174, 261288176, 1036161375, 810135516, 431778023, 425568751, 596289256, 590282870, 381094872, 864870298, 376162573, 971797755, 568248780, 691270220, 778537459, 82263046, 797484011, 284272801, 87576020, 212737774, 405168691, 708546029, 95577733, 296080805, 296327948, 363571720, 516231319, 221572315, 105586139, 484686605, 364693791, 518618294, 614449796, 399095444, 917360417, 288402164, 581928370, 882918978, 943882308, 693668963, 546495023, 244300529, 362035995, 407684829, 198326076, 757935725, 61471098, 750354887, 825175895, 790696299, 742596665, 188682555, 193414080, 380161056, 445245837, 36686204, 529899073, 246619559, 744908844, 1028545196, 948828132, 24120033, 372791395, 943032393, 79458837, 676690434, 20647972, 26003166, 416339669, 793196506, 305959599, 1042223852, 65090540, 199873171, 637182223, 39362326, 380152332, 755755937, 751206331, 417111250, 351555190, 100573873, 546536767, 514800711, 612791879, 192218971, 712371198, 785958830, 1072484945, 5220184, 658428238, 990079420, 1011944746, 542236038, 264593082, 276952035, 559315979, 899002960, 458397280, 1043956505, 85471271, 1043881995, 126402176, 550407324, 739069356, 746785046, 366925737, 5455796, 481450998, 220676633, 391214463, 380057980, 566286781, 11098720, 152939081, 823884732, 757945864, 834249687, 239186505, 472165347, 608487783, 751405069, 151211042, 64187783, 680624146, 171896621, 799050013, 94736053, 82832334, 98280519, 62326078, 490327996, 701381615, 1022133300, 1020182510, 243832440, 33445255, 165431002, 496096640, 1006877955, 97764309, 297792309, 693500071, 250359953, 210192145, 577855806, 609255844, 949974958, 914191001, 661475533, 395048683, 793905924, 782593348, 907410575, 512044327, 851937231, 201183382, 209818235, 996188184, 551214054, 861745635, 962961517, 490517135, 70626665, 967399776, 534542101, 567886007, 514186369, 255365638, 443895181, 842709904, 850322941, 575636292, 24156727, 432791419, 902949789, 742547437, 241623602, 880331255, 474475746, 697584249, 49274675, 32646077, 981156237, 182261692, 598376278, 903146336, 126131874, 948990170, 829072487, 369330048, 411432233, 755753916, 130324809, 838402361, 1019614772, 308547872, 235184226, 75134513, 685268277, 575775474, 208412333, 845756744, 1049715883, 860689690, 322813015, 825164525, 753914893, 775129132, 1011425134, 873983447, 868204867, 883661616, 157343309, 690007067, 528802192, 434336926, 763537220, 433401525, 236979950, 858082424, 991364789, 859236118, 788756934, 228398136, 172062473, 209624181, 1019882272, 537790520, 576309852, 224712978, 393934848, 709670731, 231814568, 572129462, 710418644, 524465592, 220003080, 921522217, 844182555, 210941193, 615403651, 524225809, 534473441, 181591619, 514220574, 93635542, 144391797, 904670853, 77016785, 673514708, 975260477, 1062685673, 12121455, 193062342, 1037967860, 994869634, 211210784, 648975024, 784820620, 991509545, 532966128, 879313955, 113868370, 857788507, 158047378, 554123227, 136087579, 610494980, 142869607, 462479074, 448015501, 329666593, 855770003, 880991463, 143525912, 927566809, 277271790, 68919032, 35417318, 263427594, 614954528, 764874833, 103759034, 103129256, 415473390, 419071888, 376372159, 135896759, 285146671, 566016361, 590757346, 311738070, 517975574, 228243420, 993002902, 237878982, 1056903114, 927362261, 877038205, 880068904, 331186714, 422256853, 445353483, 468458527, 456931485, 226546238, 949820263, 535350636, 285844376, 187568434, 71946568, 540708666, 175632016, 1067259029, 1026032819, 574023754, 996642517, 698156865, 586575435, 301422051, 1046837266, 798621571, 52269087, 499069443, 295838611, 777877320, 395885896, 964998568, 649827493, 754012575, 681103046, 104535185, 798565321, 187075317, 83145658, 507496141, 405290839, 460079183, 424424012, 14089921, 86886262, 160228702, 635614946, 761257951, 59734745, 88791682, 940271924, 81837008, 472939201, 35103499, 862417178, 27349003, 252507597, 420614175, 576951704, 50826312, 355093388, 62477544, 449927499, 779437463, 247357084, 557742644, 161564672, 702548362, 1049049781, 683564283, 630073440, 747025436, 479249679, 640824311, 219388232, 6319357, 83911325, 541354222, 567453007, 387040665, 603057802, 396689442, 950690954, 274391727, 522777628, 540716699, 140376066, 804595395, 24070507, 507408399, 197698441, 591588381, 615828284, 916989108, 196619689, 291924987, 942170836, 869496971, 626332909, 453366390, 771559909, 908866060, 643415067, 365839141, 457519271, 911641009, 606306025, 471828612, 67787138, 338377921, 385591444, 477195117, 160787749, 254746844, 349914221, 1058913815, 560866200, 505532936, 475415297, 48725522, 160569912, 482873953, 728566732, 176878912, 407822709, 658086791, 555097910, 466622683, 838581239, 387394714, 809941016, 984539441, 1205494, 229600334, 83340333, 369781761, 513956408, 19589303, 588888102, 796195817, 205022121, 343347136, 998234247] 45252)," 134217727 (minOrAfterOperations [442771833, 948202144, 1073212693, 936297336, 252293459, 675286744, 744850554, 479424528, 496042104, 814025435, 755447888, 744678234, 478063415, 646557751, 1016556152, 712394720, 254169261, 1052243242, 924949752, 830986059, 251602690, 864047696, 729396783, 988563475, 330091186, 1032859847, 660020953, 797514212, 832932434, 162982869, 243584058, 773097559, 636166832, 600922654, 772120767, 464790523, 648399992, 175779423, 278821123, 295339670, 307594097, 792223728, 681675335, 699026349, 723750137, 15357680, 908216538, 583639267, 546792479, 760967564, 74600801, 231539702, 385574091, 107203421, 503043673, 1005124610, 152723078, 64716869, 759282956, 936646615, 368649244, 866465129, 686699967, 1052341371, 952765555, 601492041, 950026320, 1057559755, 781246889, 273606437, 423951857, 799974818, 211920045, 452371415, 746995195, 313295472, 32526091, 47777104, 945548904, 812996678, 512990659, 845593469, 943804710, 898390405, 674512771, 383319973, 1054625537, 613946127, 968288617, 801119065, 480726467, 679301845, 992059686, 70961143, 21890989, 784593299, 637242598, 978299138, 149255204, 251306898, 358957016, 820951444, 56655336, 484290193, 938157880, 263052364, 856288095, 200688855, 44015028, 247595340, 1011121247, 515203093, 907918230, 780005936, 114010715, 142526046, 670776509, 957156802, 531461029, 392149677, 271782553, 1056965451, 746548661, 137531935, 360739412, 674789381, 803807320, 347937124, 62531977, 436515097, 673745839, 709905846, 834260481, 313897426, 638606566, 726319303, 665506882, 545637341, 519160813, 123665330, 720150763, 558843235, 224249341, 233542943, 810690268, 72411494, 559964882, 334551027, 519648088, 164416287, 1034094064, 719720970, 47490628, 193764155, 97953415, 530679635, 731175461, 706595494, 599870845, 56079735, 775989596, 900121406, 149016073, 268895277, 449928191, 943634041, 803651846, 452629238, 940797331, 450817053, 913628666, 290357091, 261763773, 604115247, 692598197, 990559349, 262971565, 138464499, 681321879, 102071825, 613335950, 697601645, 607407806, 289021661, 897644859, 926324368, 1039601658, 218738253, 1031636392, 327100417, 237533021, 467388468, 844302920, 299942946, 973104127, 139916069, 942927785, 878413246, 903955072, 564793165, 76557932, 219718923, 376720063, 861636199, 789060276, 327826326, 106947856, 23442720, 420762560, 535996713, 173096416, 90776334, 500870054, 962266709, 315225596, 713832237, 658133229, 725409298, 912968216, 627711265, 808773525, 988568385, 776986974, 574698426, 917827816, 572893585, 745229977, 478372848, 816741803, 634466377, 849162687, 977834887, 986418762, 386502663, 47221495, 650350363, 222637919, 169792323, 598283055, 117319034, 481700950, 1016282626, 160837280, 31887194, 844747185, 241628076, 855484588, 387723086, 187491960, 166151006, 172172281, 986854295, 1034487481, 954064977, 601031782, 289234552, 325448899, 417108869, 621221783, 787303075, 1063517522, 875454570, 243015304, 45574846, 605611042, 679121898, 597310956, 808354297, 696082484, 1056617369, 409791900, 780538214, 817215955, 928395352, 146787513, 575782834, 689057444, 95779705, 103691996, 620367758, 612362740, 414720322, 401818313, 346831002, 703764857, 705064667, 795977831, 163590298, 101573118, 160766547, 360604285, 1037564377, 175039611, 1069939640, 682697964, 536295468, 653613555, 445741100, 278404945, 118130627, 864588362, 950980090, 637837817, 718224955, 31292580, 774253590, 25636821, 88785569, 274108959, 965422335, 531328132, 147882666, 843615406, 688343689, 961499052, 991917779, 939932189, 1041987232, 495471905, 319001189, 47020123, 731439381, 1064123555, 607589770, 78817300, 803252903, 673699373, 915084549, 1011364413, 742434152, 159233180, 606064629, 848229811, 403688971, 1062565370, 133926657, 265953698, 139867690, 847318143, 493026680, 923069232, 504239510, 984225903, 888837990, 106287446, 347037898, 309469084, 428955194, 128607349, 1038715428, 447869982, 887815678, 279289057, 131401404, 532399261, 127400086, 232578281, 1014987889, 737060986, 356193838, 655814768, 894178241, 458114698, 92555088, 615234974, 1000702433, 229378651, 503879501, 654023046, 232667468, 826170313, 494567379, 270651962, 142527111, 688135497, 1015324604, 541204327, 1034098073, 20752862, 76177091, 576142116, 346244356, 440999234, 681265217, 274037088, 878380226, 152620068, 352138471, 565556667, 424682106, 120877159, 139465340, 718093776, 489346436, 826029391, 302641187, 665050861, 757546891, 847716053, 823682925, 967124491, 568239953, 805238214, 621053823, 770552456, 417161330, 365606823, 399149478, 952501489, 1033419553, 342376894, 186924488, 552479095, 156562191, 434932986, 585821552, 440320454, 308616796, 939066488, 665785518, 817961108, 478172067, 305749253, 550366782, 159301228, 879915022, 402956434, 1020259696, 693318480, 330041841, 919111504, 374452415, 1038557761, 774851910, 1060135328, 857594722, 541874928, 171274662, 423635494, 435446555, 711212463, 294783757, 646111925, 509450283, 472638596, 345539143, 915500400, 751363342, 260515627, 282670082, 413154385, 481786584, 305248111, 42620278, 827743149, 488257735, 662744953, 526231666, 738101955, 869946859, 527378214, 858751565, 306539875, 90254176, 126789553, 676684814, 132696451, 743227048, 893768800, 1070393401, 841640585, 1017143931, 523797527, 7207962, 967325498, 687085312, 417850355, 29648528, 1067313829, 326479800, 994445417, 417681365, 955670407, 492567837, 302231216, 428527156, 773021712, 226206528, 131598548, 898412740, 260255245, 48823538, 81245956, 81938611, 308941825, 849771852, 69578874, 609546294, 735837988, 548617394, 413518228, 23014114, 218850136, 805504152, 293498547, 35213322, 380116200, 1026927753, 264923601, 809138002, 201467806, 399858646, 384844738, 515918830, 606996857, 384794703, 172363277, 667481013, 84407307, 292058872, 660065391, 237934302, 133807565, 201556428, 892408148, 993200526, 350809199, 4467626, 814235314, 530191929, 510994708, 499550105, 299751028, 624701526, 638593804, 446077235, 630908918, 253235181, 82582412, 817271947, 1068394931, 953120552, 397468347, 808033167, 76289139, 1063244003, 214994043, 41195669, 882534062, 521086732, 369425067, 147889358, 698000235, 101648271, 1048308387, 323439888, 580128839, 602517339, 496771151, 343739074, 188541894, 1014057301, 185295337, 934909817, 431984991, 668730484, 957512227, 291418851, 313989946, 492357060, 846714028, 692370164, 797980648, 450975703, 707452444, 399313848, 404123071, 186423080, 63261791, 708664080, 195171252, 514511259, 89818911, 835347546, 182682794, 778158761, 965519233, 587615671, 124699100, 2931572, 520149915, 10461508, 91267328, 640110614, 821883931, 516739503, 620890411, 274721450, 346971202, 229341084, 517308957, 928821345, 1052302263, 263470269, 32944360, 189709400, 464078171, 530375816, 261315389, 488209493, 683361111, 628146738, 404438706, 22012624, 347509570, 75343048, 442156103, 16238567, 550119716, 129446866, 400931901, 846284418, 707535441, 329972131, 501705551, 610082987, 717134654, 529872307, 67613990, 523871364, 107492981, 1011152047, 193559265, 116426614, 979301448, 1068406416, 261946401, 755840272, 170691057, 737997967, 536976347, 548010622, 1055408708, 195964369, 197762792, 678428767, 285813316, 1020930382, 25123613, 350120475, 561923894, 939089483, 315634737, 449800152, 920604996, 958707536, 541018908, 834265648, 539236001, 320193689, 976079025, 488870252, 245147154, 530132776, 1023133150, 521409808, 411570489, 674120244, 440711977, 402508715, 827303002, 491642263, 197272850, 678471919, 982920255, 982548012, 339502077, 673026262, 137752522, 909021327, 888450332, 555533970, 262809618, 723216133, 405991942, 611293043, 479085886, 582818446, 235823842, 709625481, 939331378, 763317228, 183981752, 240151835, 505224299, 217392263, 490051025, 695327858, 843564105, 571549007, 761496906, 628423973, 851781343, 790320896, 836969659, 322804038, 379365864, 1062486538, 309726561, 118229534, 657327791, 668857184, 973714238, 736953889, 1072221283, 138294443, 843649484, 973277961, 73406827, 198556492, 371849516, 249062563, 782728352, 707066194, 329960845, 65368452, 23461959, 90248283, 911311364, 1004449121, 1002145918, 311267270, 824280256, 380421193, 414642179, 297621499, 628147180, 480697031, 838712786, 1072855518, 177047775, 505798415, 124207014, 52909354, 1029147860, 383025785, 689442711, 145866386, 452510399, 300072855, 45510913, 844488844, 252544115, 467313470, 786455208, 789439343, 826539810, 619683688, 370014618, 307851462, 466800372, 180958518, 662987801, 136715349, 193408318, 166988456, 711235663, 245476523, 222091251, 976789103, 200413333, 812699637, 212338868, 549487252, 622136313, 365770872, 596721076, 15327850, 257503955, 538083706, 217994400, 251430698, 620158209, 551179159, 713539697, 313198707, 665232384, 458706439, 753727214, 506205409, 736353979, 1006517940, 261753574, 769093837, 34136437, 563961965, 1025940079, 743622604, 162816014, 586665288, 1070108756, 292886354, 188353900, 643143589, 650158565, 584890989, 892782176, 460425726, 897796472, 393574504, 36638887, 902673105, 701620628, 391631664, 761225859, 143222854, 205449928, 200382284, 480067450, 54017729, 246494073, 293247325, 456465275, 526887503, 701976238, 12074009, 187586467, 231248085, 780557252, 669849208, 228779933, 1054388790, 642578141, 301086614, 571897563, 464254364, 533688641, 1016492078, 1066827986, 12263665, 967806060, 1072998518, 752791687, 577327882, 484231585, 561393049, 201487359, 312060599, 1016085575, 463965760, 1058532705, 492254943, 192390175, 920640411, 800167300, 965110239, 965085638, 1022950040, 1040270820, 545296309, 152451286, 767887912, 800277599, 402100010, 443527135, 21390755, 289202892, 396891961, 792446281, 34906825, 171614728, 475724740, 4019311, 811935875, 242047020, 803231113, 934245392, 997926942, 1032796028, 16659864, 424292207, 174735949, 1034765362, 1000823459, 326651824, 274532407, 532282371, 303460995, 253511318, 629442242, 479452029, 624875074, 77846110, 302533675, 506850411, 903702754, 502548187, 1026066945, 835470289, 641075209, 523369825, 485862201, 2300178, 763602141, 558601342, 248415712, 1069345974, 324665991, 205570715, 42688037, 553891636, 469724109, 740829923, 495609303, 921728264, 360792476, 249254882, 852494574, 1002133881, 95922542, 914377398, 746589482, 181395910, 3877426, 163567312, 456495065, 168039379, 931211211, 589986120, 488009917, 715846427, 890374158, 247787133, 746279307, 888687877, 357837000, 392527031, 632333728, 565565115, 983300821, 502662468, 449971112, 800413644, 690188685, 883364770, 722710293, 323438468, 813489836, 860772937, 895296540, 815228995, 996886886, 915438062, 557910750, 601052329, 155557223, 208122802, 578859130, 602132285, 632153930, 210246581, 752990276, 658572872, 689417902, 190410409, 29826761, 327699901, 47404999, 642261968, 184468579, 673057042, 952472671, 472605469, 34575322, 153517385, 844871603, 29120414, 460397634, 782497809, 53890546, 608015321, 1012921405, 354596812, 52750226, 1041408663, 270141874, 410130159, 964118173, 352112361, 206020040, 409772006, 127654863, 836206539, 503343888, 167424049, 438085099, 254789676, 359550869, 183500877, 782169599, 572467382, 59686240, 419023938, 399140512, 876465983, 63027668, 1034521361, 203455863, 66731394, 442150807, 210412953, 931980248, 296392846, 731867394, 966097264, 881308314, 990633998, 601734812, 403286928, 455744886, 99400071, 681138351, 715227217, 345969888, 947500411, 48186684, 729986675, 1012737685, 103038732, 585800802, 599843468, 949785757, 595371698, 569635248, 342532842, 1055173940, 935476619, 203449562, 666397653, 189901380, 920683462, 577193464, 249480230, 317934470, 363287786, 997631981, 449559682, 1020100651, 1049488174, 864655693, 644761304, 533357934, 728098072, 10695701, 390209177, 981877763, 872579923, 561886694, 591547922, 37044415, 223392971, 690406772, 406901000, 368352356, 801778641, 872347478, 809388436, 831696966, 940956261, 147907099, 734247432, 503548477, 133861879, 137887602, 21142275, 665259848, 322277150, 368411205, 635691104, 377298069, 196599254, 513850734, 258182364, 520856190, 880796602, 274588868, 595110225, 824301727, 932697551, 257642353, 934596696, 734541026, 208421941, 668166163, 610597364, 233726206, 1037026111, 454900880, 878595571, 19031767, 360189007, 586078636, 571157366, 1019713269, 207041127, 476039854, 512551009, 216787508, 435367262, 217806702, 1059309682, 66060486, 821514459, 1042729312, 153565546, 380200995, 342816265, 24247180, 391712289, 292094037, 1072382703, 104870872, 990885831, 826138394, 91013125, 878539196, 466394372, 991788212, 579268119, 9992276, 690035371, 786139280, 122212994, 767271173, 676773068, 456513720, 982433591, 652288438, 497060296, 443734301, 81663966, 166248534, 32465966, 363639863, 147663373, 448636936, 240293094, 125058480, 244099286, 381915121, 220220273, 256509868, 82057621, 685320606, 139653264, 161051665, 360653025, 141541132, 806596122, 1005322216, 884636048, 587081920, 980269433, 230981252, 525304928, 679321104, 163736244, 1014925621, 317040567, 224018299, 238311081, 1022419720, 235592750, 511393143, 328725479, 510541940, 123490817, 256522240, 231167878, 285211521, 650913477, 667577141, 1071190831, 841398752, 239749150, 967275261, 869776893, 517116424, 982214085, 266737077, 216491585, 375918305, 347871642, 489100488, 473643874, 56722942, 870182396, 919704552, 837118245, 895033559, 472868650, 847117049, 980404483, 899281418, 93455840, 314752950, 412100326, 83158712, 130118009, 995310402, 159986779, 314363539, 27653877, 756552076, 397328541, 1009358361, 938283382, 1024182259, 60445998, 1029471354, 164381300, 569292795, 726175722, 305932087, 388008085, 951371895, 342395252, 491728903, 666985505, 1029453701, 906120285, 640329546, 1063337298, 1051726119, 875758277, 306758583, 136186125, 1065259912, 289141099, 740205933, 189847774, 954010059, 291286252, 697152139, 399093892, 796331285, 732534146, 778880905, 245002323, 646557353, 623728235, 192682671, 1055612052, 217916165, 324907526, 812715085, 206784913, 708200186, 957999360, 277023356, 251528913, 34324546, 664048083, 707553467, 302024179, 74165382, 9672901, 687731118, 14864982, 550250898, 732313592, 863432248, 90113937, 841371798, 269781587, 152001877, 351196647, 39932633, 523924681, 186393313, 237761821, 325154690, 1048428358, 814094147, 385748316, 631064501, 427321836, 274907668, 601186033, 630677293, 894744208, 242833586, 129569252, 502788908, 517353622, 189257360, 570415534, 672003652, 194670357, 765594446, 77525390, 784088115, 890850681, 555509623, 97220556, 820258568, 263571765, 690094587, 1003372976, 227575227, 257497726, 112416556, 67051359, 62478647, 168545018, 644967115, 681162010, 150117407, 888711155, 471295280, 560705349, 594674888, 157010737, 895656930, 528444711, 953493402, 820157727, 313879073, 488977604, 733453489, 127847564, 493234534, 224119293, 312320985, 629965474, 343505707, 435863452, 1041087803, 457173175, 422287520, 351805625, 957716711, 147555910, 212214811, 146665798, 401453050, 365716096, 22081175, 885274811, 680095733, 741279153, 226452594, 543819005, 326360143, 645285202, 718442249, 1034271401, 88218397, 1018927010, 1037050267, 990632241, 307724029, 203119136, 397156292, 948707237, 652407505, 301392685, 117649593, 159105416, 493702892, 1047987762, 85545860, 1044557450, 749733111, 241465186, 419537234, 181277706, 373831116, 667241061, 585061063, 946153335, 480725773, 1042685587, 1038789364, 375770171, 938927749, 629148173, 249809061, 20429880, 929750003, 810838644, 630371540, 1038819408, 1003910618, 868057823, 207157105, 983809662, 943892478, 720992283, 573923321, 622242798, 924924421, 563623738, 1007424338, 868617735, 477212970, 936251935, 913638118, 188599629, 919223367, 177859518, 373663162, 944635105, 600725975, 16530173, 206613690, 26354355, 298756073, 119507484, 622048917, 419311362, 627966608, 877331849, 70741639, 22614197, 309507994, 320036829, 574495233, 431233776, 164174475, 904799668, 40335531, 635530312, 679175035, 362216331, 1026135286, 622880560, 132208024, 773715181, 1056268658, 237635106, 620902300, 396796117, 205977086, 938338781, 1019227371, 1032532105, 408819075, 878190297, 315164834, 535974551, 283533268, 259410149, 106480902, 700490644, 582157167, 82918643, 801735758, 1002477169, 438749676, 1039163160, 27990361, 742920007, 93216750, 655135625, 812247476, 917029964, 942368484, 455471473, 861594484, 547575310, 953388130, 1044416802, 910564464, 486994856, 492573038, 301008681, 245135158, 524399908, 1015516754, 151877509, 260840467, 60644031, 879925177, 981735635, 273451444, 162855024, 565658814, 965679692, 234479770, 730322369, 314094949, 190419786, 332689750, 194684127, 920108243, 34592353, 920211908, 729618321, 319752886, 598465453, 1027285219, 496491422, 512932418, 260454362, 11645351, 464849510, 47733269, 995621858, 610514519, 559989296, 446068135, 897420546, 82216989, 111407465, 548387938, 750292320, 171081649, 143601529, 684029111, 89952230, 613127369, 957098879, 473099654, 672224015, 644556803, 1010829031, 1023161006, 808079755, 1062781697, 1009722363, 892459431, 407149161, 1038906280, 16934336, 786374819, 762418120, 243881006, 532800293, 226365237, 428709735, 284202679, 767831372, 6021474, 658323213, 217203335, 927562056, 935324073, 235226524, 970283657, 761135690, 267578780, 765214530, 824186480, 824365495, 258173182, 736286520, 950989086, 876196640, 451103278, 508313241, 854414324, 54214978, 231173965, 888580114, 1058731535, 94187646, 593040458, 461060328, 429506569, 979537961, 647303778, 183877352, 12911310, 315840984, 192934379, 763314488, 946198557, 481972608, 480220454, 457653119, 613810753, 247633037, 947615091, 749132751, 81922117, 571319272, 485912541, 115386737, 461527978, 248641599, 1068652641, 120828323, 90087131, 297794252, 742809766, 1010454093, 71519302, 660817519, 444077087, 1003526957, 1068205715, 490654868, 1029460736, 746494928, 224740497, 770301060, 720855316, 581360404, 988707866, 928399905, 965114374, 745308687, 199360321, 203102721, 934937032, 744245420, 878180934, 857729716, 1037337500, 317549087, 865090635, 572079940, 857050529, 850855103, 1002505615, 319266890, 28055897, 763943211, 554462329, 668685449, 1066968994, 197437028, 145440631, 936507904, 696416374, 271853246, 816735321, 715665634, 202054628, 71164618, 466722364, 507859009, 415280704, 951660869, 275740572, 445044072, 979786926, 470821757, 484242935, 98771512, 1003512150, 334414366, 353171279, 675673558, 213043268, 710262756, 703597180, 771326630, 871170825, 659291395, 603508023, 326906316, 317935600, 366086118, 31167260, 942108758, 164122276, 85263394, 639817250, 45943077, 974791652, 229469943, 130385299, 837428336, 493836136, 131797672, 627255310, 884397071, 123442017, 225633351, 808611370, 262531786, 295095798, 567183088, 143238103, 800197798, 712171531, 961623692, 887876960, 43056950, 1052331996, 848850500, 76748118, 228251417, 925724540, 462301825, 638886095, 259760104, 882463777, 565997333, 151909409, 178726295, 424831880, 257168229, 361073278, 885420793, 152944825, 328500905, 687603041, 743794976, 903410606, 12855351, 626079203, 216028903, 92642998, 47414829, 682983842, 485617579, 756906580, 570363989, 956471900, 719965248, 967361113, 868539997, 699683014, 211650099, 1037540361, 345635865, 389347890, 476077361, 994499640, 1028291529, 834306605, 1029553125, 641050892, 477601086, 1007370324, 177792963, 550680943, 108119284, 757461961, 81584886, 48639311, 591096797, 98897297, 365330766, 490876619, 954245955, 83171034, 900534324, 577274397, 51147576, 24323520, 862700047, 809218718, 996249805, 442435377, 57043664, 287541645, 820174283, 567293118, 790244473, 352092261, 308915208, 261557043, 458441846, 326861946, 639320396, 658648293, 528666626, 506449911, 330783890, 368306108, 940985299, 506266932, 1070025838, 401206691, 72722254, 140006717, 652038196, 765024443, 77888691, 684336101, 268181097, 761580742, 280002522, 314154474, 177936060, 765454542, 699353922, 490232202, 402046750, 760080260, 342429550, 388547346, 191928715, 823980446, 856514875, 838522533, 496502355, 1028798744, 788138051, 914824516, 1037282830, 502725806, 304993183, 328173717, 948357368, 1022637452, 288762525, 751026883, 900484039, 331611280, 542256525, 472296320, 177843346, 608393631, 564733699, 2427725, 982913569, 950848240, 716521055, 447329071, 824411370, 256220589, 553541880, 606042789, 875890403, 1050311317, 859565101, 320563437, 454011631, 466699106, 597274817, 962609955, 1009917296, 500517699, 723511627, 689195448, 245213879, 638825486, 446020950, 323037487, 361294168, 883844529, 932688654, 327111211, 164193364, 676014624, 773963473, 511453789, 392747490, 510127173, 9957283, 344145170, 1039230671, 432442647, 798228654, 794208012, 352617017, 737755721, 173817985, 224651572, 97677311, 188997603, 194934080, 182625374, 315885666, 1025254460, 172124652, 236119152, 313227804, 549033687, 1042047750, 864394903, 279812048, 112168024, 689412015, 595500245, 271063028, 514089108, 297487983, 820347781, 499338638, 357174811, 745990859, 311564553, 585232037, 313742504, 911121469, 503724102, 191703383, 564199181, 74951068, 274871025, 500755817, 525890252, 303218660, 601930438, 931644479, 10734852, 751513852, 267295276, 118077265, 609256961, 780622675, 809280506, 688410694, 413037226, 829822621, 342032386, 427608527, 803886857, 158371216, 39140459, 797450678, 882004271, 328374424, 242303652, 762043501, 207409223, 774216830, 211803230, 437618696, 718609533, 181331692, 194894671, 298499920, 126191957, 332265505, 592182781, 616512026, 355503503, 273670046, 235410546, 408993594, 671784328, 112943589, 610307977, 374740973, 1022045301, 1062835799, 266149367, 135738528, 355239744, 634674908, 873030188, 165162356, 517506209, 458165738, 924926973, 204155061, 746841239, 27424370, 594506378, 50316036, 577139648, 131560511, 441753959, 764839510, 269017091, 654878004, 1008627727, 578184903, 618726534, 66120294, 45795833, 1032536720, 455840330, 844247448, 304480768, 171822288, 633211992, 32024712, 756402530, 706937034, 91816418, 340411285, 783335203, 360491406, 506672978, 156088178, 584383734, 457177775, 382983611, 456036763, 152155162, 291980061, 483130496, 876842911, 570035949, 1006960421, 714365865, 85238713, 755369107, 348479457, 392384807, 841401474, 92140905, 89012461, 421591411, 96599457, 271227520, 414488941, 307659813, 8207658, 285635812, 432288084, 847133255, 306084910, 805368057, 851748574, 528231784, 313068754, 117917386, 62720320, 335128839, 819951135, 517126964, 227200635, 476474194, 926418673, 1058922135, 595237826, 549741037, 822372030, 883678602, 706902805, 256009063, 393103699, 645625994, 428796938, 109548657, 186198610, 922536495, 1061868151, 157056376, 861895848, 666317845, 231417439, 807287368, 696708071, 25255493, 149005456, 465118256, 631466100, 507354740, 854230257, 417899512, 1052711380, 940042062, 1034957829, 900018801, 660333452, 933439034, 86208000, 278147481, 195129921, 902750326, 445698205, 622676210, 130881540, 619998138, 468190553, 576341512, 175319599, 1047683961, 170021376, 154089110, 432095236, 208994543, 592849667, 469007476, 36154998, 600504265, 112926311, 356000528, 147688311, 992095864, 58133533, 665156747, 150924563, 163204763, 1008381582, 904227591, 563035579, 334371054, 585071159, 92579272, 278423858, 83040758, 993047692, 640500571, 866229310, 857311937, 94970891, 56686452, 260957282, 231873768, 373832465, 887771144, 935917046, 184258927, 684594342, 81539705, 198143845, 176607485, 446704507, 531357648, 777837084, 546245714, 181710466, 499137705, 143841053, 390002389, 648140345, 758768258, 1014984850, 430694277, 202122768, 607195799, 942952960, 276127623, 985735071, 287019352, 659424631, 943382275, 41063674, 297193346, 920061387, 486369313, 374229555, 463702322, 1047040407, 407449608, 649177727, 743797350, 663942115, 675935231, 1002340073, 65232415, 1027158377, 460455044, 897782541, 907726622, 546529875, 48537668, 389701334, 918588348, 175209098, 929543311, 183587390, 1044038395, 371446552, 500149378, 224723368, 48614861, 463991563, 31544287, 487162964, 404557001, 378928706, 952628661, 1032653349, 259139965, 127528941, 640528640, 610378299, 514084146, 419308479, 994305217, 925539837, 105213848, 488676904, 282965274, 310468294, 213450030, 472456221, 290197334, 630585149, 69223620, 773369484, 776081443, 249684396, 932877803, 418095852, 144414046, 1040579590, 626288791, 544107619, 525174858, 641358230, 910149610, 767842765, 826216071, 170776437, 661465857, 1016274898, 623991020, 327597005, 81734730, 149467264, 79281007, 755887507, 878655772, 249124515, 122385955, 476465966, 505508884, 248461642, 234962567, 1040428047, 618178439, 575262045, 304373155, 788565720, 173210491, 1062665596, 736223406, 996113183, 978350164, 824533158, 124421554, 513174536, 234354528, 240768109, 146124979, 564281100, 64546195, 630669815, 444298398, 619218110, 689670752, 680246423, 994558382, 32615039, 908587059, 283180383, 526071414, 884760053, 148606641, 338270531, 804411093, 779444202, 613079579, 763101950, 53038615, 96551375, 691404157, 354713289, 420383968, 20133887, 301480801, 410203652, 764819119, 769399931, 120603426, 650722135, 801017704, 689997942, 701360893, 254186919, 779793851, 657430038, 887843479, 867967424, 205538804, 138354481, 289262170, 1048353694, 369793126, 224956069, 233806904, 1045929141, 820039215, 1000038386, 689455367, 237792485, 47782253, 930000816, 881303442, 597135612, 425527742, 333958360, 305551343, 298851770, 461371236, 951609645, 1016725154, 177515766, 804338285, 299526249, 299850242, 547085730, 874527047, 659019825, 231550701, 556621942, 124885701, 917103130, 673261326, 1037875432, 336208005, 6901412, 361151687, 598393749, 717840655, 762041763, 997491393, 198031813, 1060692077, 608654323, 16644964, 1020247160, 145995327, 237025725, 23583521, 837238289, 419623051, 503083848, 280300496, 847519858, 1026090128, 961281893, 309659831, 907537921, 436388635, 59063804, 649732169, 1015279568, 302078459, 677319729, 596743703, 750668013, 357895222, 762415049, 146467087, 1045835730, 1053203870, 605015135, 455783968, 139933157, 567464851, 861619591, 650209842, 456935604, 318611437, 292515198, 388598729, 391164429, 654951716, 421464679, 137359418, 659844899, 96044007, 645108940, 418781964, 543381457, 4146066, 699693491, 122892350, 745332724, 189365751, 536090603, 127140908, 61531405, 440699997, 244846569, 864269483, 1001051194, 1040823040, 410386312, 1025865236, 222806144, 180872676, 659551750, 535576394, 990483532, 986153391, 933157717, 83745846, 559328217, 327837618, 522280886, 910865353, 969004051, 432973347, 971258648, 151511939, 318183079, 760369650, 767755668, 712674852, 344799177, 534853638, 513455674, 242966530, 1053744714, 7468986, 532761952, 488271586, 686830839, 239775147, 670078304, 350549920, 721826090, 376660305, 1019680448, 331591691, 1063751511, 69486704, 966458325, 1053088927, 717895049, 1073682649, 461013177, 851646588, 1018622099, 1051663323, 900254454, 991771859, 242843598, 977210734, 965527856, 650325134, 726720317, 1050960547, 817459726, 411411929, 169760386, 392526616, 527272859, 838123815, 283171566, 1006452565, 927209547, 664230771, 871799577, 56079725, 957183109, 609208625, 598897334, 837437136, 596663582, 617942279, 752813542, 57890840, 633465915, 302460623, 557520280, 217626087, 285068696, 249424268, 622762688, 520482616, 348588149, 210157350, 676136193, 818712846, 600478717, 16920190, 494251020, 1066549860, 52653622, 415669872, 734150181, 276662621, 624042077, 943108797, 415520492, 512301230, 737401107, 714560668, 802866989, 952199285, 709617759, 6062620, 5362283, 737542391, 340599339, 74611070, 763607388, 673625681, 1043191021, 92304325, 442396045, 86470997, 133544180, 868305573, 979085857, 985188360, 354653553, 118899380, 822842126, 294230228, 746918672, 606477458, 914162568, 607857919, 715893510, 987635992, 294907971, 229029460, 544706481, 977710001, 893436315, 760765144, 57604246, 436112853, 885982841, 412171908, 896410609, 388327604, 512519094, 1003189644, 436101921, 380189041, 804641793, 1060094442, 61790186, 293528891, 10143865, 837283631, 859213690, 935749717, 151360637, 65598314, 382682541, 908110381, 222868991, 540774702, 389943704, 237769889, 455633321, 1019197964, 920112681, 69811476, 1067039890, 173088254, 734912804, 458538758, 915453829, 1033893178, 726170405, 445054199, 13662763, 9480592, 607982289, 703298148, 835279638, 298246525, 22243278, 878023602, 692624027, 147171756, 1064531052, 833831498, 863904706, 825292672, 262385537, 634046231, 485628967, 490787989, 813056381, 971847593, 1040135956, 1031278395, 339233841, 816310776, 415345330, 172471307, 832185967, 47979221, 197317909, 537595890, 588269732, 315841875, 529516102, 14129592, 66239602, 290539915, 382421137, 259734, 334282613, 325310747, 572266728, 526573140, 231372912, 787603614, 475335817, 744919667, 96827946, 337147341, 504299541, 382692810, 874034715, 757816746, 946853611, 748587869, 853231068, 118531775, 658035733, 1001475124, 631149049, 450820205, 573080806, 807927519, 912224047, 559102608, 93095826, 639590717, 230017183, 914899902, 768138810, 536781051, 734871676, 623014716, 425144854, 868927612, 12185404, 588439554, 43440358, 496781417, 264220289, 711657570, 681166326, 466990778, 846767492, 773203616, 825609657, 445904077, 680475479, 961751444, 159490725, 225527690, 788839023, 234402449, 922934711, 506058722, 925643369, 856459387, 211982564, 482225749, 549895517, 994021581, 528200543, 130625493, 1027725820, 481161991, 97314246, 778769285, 756843435, 939580820, 673181067, 286864864, 1043473847, 676506158, 1502894, 562434185, 375275551, 333254027, 610137353, 650467951, 337960047, 227536728, 341309552, 644568984, 397795437, 362663682, 996447293, 938144830, 415443978, 143078768, 371750699, 59628377, 674261707, 232331861, 582441450, 252714515, 249009037, 589332073, 98908807, 217707124, 980097061, 613269084, 321137354, 582534759, 850129164, 588229153, 57172548, 838967170, 1034579706, 746012542, 615849921, 293397230, 1065975237, 685632712, 522125013, 807796276, 362422217, 357590294, 562124139, 816482216, 929439047, 338547513, 45252236, 702205258, 251944159, 173786224, 219979997, 53339446, 700599133, 973773107, 787544732, 338038621, 728407261, 743316080, 314561908, 929077575, 1045049630, 289598757, 327437298, 1072993144, 152159489, 6244390, 871951097, 626593687, 126202381, 14606736, 1053864043, 937237280, 709658125, 778617643, 686754438, 827948206, 745440566, 10266208, 957571351, 819805794, 252548303, 956098819, 7563104, 362120572, 665088621, 574331334, 749645418, 20200288, 160653881, 5512495, 247025262, 12727432, 711032724, 123269976, 967025023, 928230550, 1023846939, 845760019, 235484393, 975227255, 1028208135, 320301498, 647694453, 191669257, 613049086, 461411358, 867238446, 79885076, 1060872056, 877081671, 757915753, 242382633, 329003062, 151585730, 1049914500, 1063488522, 533995979, 92616339, 843868080, 79368313, 94265123, 475333316, 18369548, 513133539, 484462959, 723979451, 784330570, 276041066, 1063022356, 337180544, 984211694, 56567158, 141209952, 728842116, 724067250, 1024107848, 966013933, 896524111, 19683413, 422003039, 649843795, 252788265, 26004690, 743052445, 194999079, 319892575, 209007835, 628713913, 684441385, 608216813, 506492617, 726219878, 597689549, 518237691, 771016341, 869964290, 4675739, 792924076, 523832508, 666720092, 57465420, 845294125, 214071485, 70623527, 1058590431, 238613190, 930147888, 245032306, 357334391, 100352942, 1068597281, 835134746, 839569509, 1013393360, 865759587, 609964521, 3747212, 308266664, 563575818, 645360036, 279728487, 722786305, 359161051, 311377931, 300184178, 145866057, 185652137, 747169600, 567613721, 644198804, 590072041, 921486141, 977706874, 355650567, 773170466, 937254683, 188958830, 467586528, 288009431, 19000488, 836910237, 295610691, 408818581, 525607613, 693200342, 817979671, 492253544, 899397299, 243743313, 470757692, 903636465, 20269100, 24114772, 140523896, 257958893, 809942231, 106461399, 32412498, 135184000, 618245686, 483046855, 225897065, 540988970, 845502773, 141826680, 660472276, 168129606, 748332134, 487846816, 675353997, 970114772, 592618048, 74523334, 640061962, 62478029, 94704935, 314071595, 801480503, 529000064, 207094484, 622050701, 349953394, 547607228, 317175969, 249381055, 171021457, 588318065, 951096394, 500466993, 986326824, 398621697, 558486248, 1072471839, 730955492, 1017475018, 291475614, 158343036, 343718663, 836528203, 421393952, 412030634, 464735820, 371828147, 785382522, 978546858, 922267931, 890505126, 498751519, 315476042, 115244503, 415361065, 431414084, 1037794411, 762706023, 1070380807, 885411951, 364091547, 399339438, 641754579, 173171824, 358749350, 914622159, 1014166908, 357781953, 922086421, 220447526, 75534040, 152205493, 536570581, 309022596, 470620614, 13258383, 487609773, 778732140, 484705091, 365706286, 849306878, 599441855, 409920013, 975584761, 499543531, 262912628, 790840880, 464845129, 212897577, 792618087, 631703734, 694610620, 817500173, 1028772793, 777555889, 742635786, 165670078, 388320503, 291492313, 1055624974, 30323749, 675473357, 456835122, 499323514, 534454572, 982760680, 839537689, 611554192, 46745246, 839738048, 890635428, 1070945674, 133014261, 676358773, 103813060, 567980569, 54391672, 979593424, 487517022, 848227819, 486028107, 489276825, 929406766, 1054523254, 76023420, 998652481, 651563731, 591353390, 971701438, 483463340, 21122352, 521803139, 551635532, 640432476, 887183183, 196262584, 733934434, 597573016, 141929056, 238627485, 134077397, 81781275, 736593580, 1040582319, 688310548, 445329144, 114925222, 687695624, 109770076, 730104259, 103664785, 563093918, 732474092, 794324692, 357652404, 374139752, 888117793, 329468317, 809288839, 630135518, 1041447816, 865613380, 150008613, 173984591, 732383007, 390745381, 797509228, 893497432, 560503715, 97566190, 136920793, 49013249, 830315779, 572865626, 970562628, 929913893, 1047152220, 631518486, 1046647466, 884105768, 733707538, 174292602, 176218949, 758445734, 393833076, 229196235, 1013601181, 1026906824, 308516013, 147236992, 55599172, 657297045, 977758268, 257330645, 208187173, 553805443, 78955422, 584779646, 377513514, 451028553, 139505153, 822990830, 110415014, 530528585, 591349049, 178587297, 295838624, 998228774, 642448531, 1012277805, 810370860, 587931491, 88691644, 1059982669, 49136231, 924219182, 360434118, 341333892, 651021126, 775282860, 63817981, 1001548984, 571231214, 647923967, 689119526, 933947763, 1042553807, 132193732, 6261593, 157050586, 535554545, 328587476, 523706906, 440213380, 347118389, 897626292, 919129073, 486306358, 377267915, 921050565, 1024141144, 105077752, 426501036, 254311066, 517086280, 900308765, 441900211, 591588724, 940738691, 74929624, 508014848, 23414541, 279366806, 238088467, 662202231, 67457727, 615575593, 440160068, 651011487, 958325355, 486989403, 1018260608, 5380109, 875924767, 344260978, 924208325, 274721821, 239205756, 659026254, 536213965, 881668911, 391268416, 325516241, 596667224, 395421076, 783745613, 67550053, 540522364, 1025423419, 335368119, 793300265, 9861574, 634728382, 623202442, 690622391, 573604692, 25966988, 399997275, 480728235, 556264862, 812557458, 1033737113, 303755328, 380155843, 433013726, 154752051, 759948292, 922891923, 553849004, 535746514, 458494901, 506629172, 601924053, 537063803, 196175695, 646893055, 534333188, 829732225, 887007248, 80279190, 401316122, 749929030, 144580753, 824421966, 329395734, 115235394, 1044244528, 213555660, 658281565, 725380032, 509302870, 886258591, 269594701, 91599562, 116135583, 456240577, 894291715, 11472906, 1072871906, 94840632, 630353412, 575339451, 148275412, 976002975, 840836165, 170404077, 872717148, 866563679, 1017371483, 947523050, 971728543, 20125236, 716486606, 505894858, 680691184, 69223748, 316563333, 369512464, 532055275, 328378554, 278340861, 378238664, 959382720, 787972475, 688549786, 333619152, 244746843, 858692104, 198164666, 217967174, 887830685, 957621469, 510937198, 299483078, 972271641, 820983640, 949665582, 813502667, 381923831, 587158278, 1045563094, 214931743, 804658905, 7636210, 857134908, 190539990, 422157014, 274556759, 694305943, 711184495, 382975369, 492066515, 827974163, 665675406, 677766818, 445633644, 715721355, 53956821, 626619554, 41948156, 195425614, 944182892, 555567213, 722307781, 227823798, 61893822, 1042141244, 837805178, 132985567, 538201922, 894158944, 1058714029, 217760186, 1012471878, 63272615, 593148389, 407406068, 685406896, 894249882, 11649754, 159136104, 909675861, 875340470, 648074786, 813651545, 502129584, 836122684, 298119556, 779765750, 1037450861, 508753558, 180448480, 634932495, 362782202, 930815320, 111900495, 552574994, 995721468, 372508269, 612274316, 1042830327, 877462386, 470620769, 1034827408, 80532924, 112508501, 306489629, 60504534, 31859539, 869430494, 235666928, 954180133, 801629899, 435476, 1041344391, 977977850, 378339884, 255138102, 210591736, 979831490, 433286011, 310368809, 542057247, 666033285, 801765821, 115989547, 634045241, 912698160, 629735149, 267832054, 250570542, 858675324, 57022337, 168476237, 782725525, 340429515, 504686967, 336869536, 116186300, 59368579, 451546385, 881486884, 867137629, 347820525, 1031262062, 505133600, 562404174, 903174462, 123225196, 268129350, 1021263549, 772992625, 720258632, 954108749, 8799105, 601857038, 284523611, 168180886, 1009060657, 158900868, 585633474, 940221791, 899909074, 603653411, 548428916, 1022484039, 434938695, 312992082, 224580090, 810588492, 865640611, 666673777, 641891809, 16610084, 61012766, 386335128, 993560698, 73794471, 886508727, 538369059, 357030887, 41069523, 205864361, 994137699, 1011312714, 25424144, 1068895758, 82751453, 569319977, 915716833, 919330509, 388722581, 811786961, 8469578, 706546607, 167659126, 692148463, 204060895, 248905501, 991393310, 500319025, 530993325, 134608272, 805939274, 979922731, 458398542, 493885852, 689619099, 889355406, 746693042, 221927027, 1051647734, 859077917, 252883826, 804926042, 50182281, 642817788, 194428351, 829755471, 897422596, 282856795, 656779992, 429391177, 669921974, 823686059, 755192507, 336290481, 890588537, 993683396, 43265006, 860810509, 872238601, 413554387, 929773487, 632541065, 91516025, 752087861, 1052703320, 85251889, 754796929, 138542961, 411658252, 869627580, 173434775, 87967552, 41258240, 779735846, 223985739, 291447284, 668294310, 747271817, 625467643, 40571773, 60333897, 940053392, 125205232, 982936933, 951369771, 937844746, 259842874, 457103147, 948001453, 118594216, 116096489, 380758777, 652675852, 585608484, 234365869, 813209702, 704374325, 203502145, 425787559, 280729931, 863442747, 669807929, 1042829190, 417813103, 933597043, 239999194, 539297752, 146525994, 181138700, 651171181, 689834265, 528917099, 48241386, 717447005, 398054564, 680172982, 240361780, 982664684, 379278047, 1016491352, 49155188, 790269652, 41548006, 253646484, 19340443, 54458795, 308446211, 338867195, 659513594, 664589686, 407642142, 102120779, 955240453, 129467633, 103523342, 964252770, 856089509, 922548169, 392332558, 319964058, 141337855, 128591244, 995132616, 800350132, 1007829253, 531476973, 962626690, 972155703, 568031418, 189507629, 755046133, 781198751, 697967149, 582199190, 42636510, 711212005, 637582072, 6071574, 74343990, 871050896, 954094499, 1050003585, 595344666, 58165151, 960840715, 241664468, 967956307, 227479585, 8946478, 233637169, 495529794, 200675029, 379177087, 917563884, 531979659, 464344328, 109996946, 954861758, 890241523, 401230726, 85651341, 88701587, 239750401, 1050662385, 215749295, 634924994, 896513087, 396272267, 34293212, 908319072, 632393331, 670083772, 88301835, 937407849, 473076908, 430124039, 467479337, 248247801, 766894476, 44555557, 517242236, 1039637293, 79819488, 691061500, 535508738, 1063813148, 518677421, 426801549, 162062920, 384750771, 622566384, 869331890, 398702480, 656121862, 115209447, 338848737, 767440656, 270609200, 790302078, 106447186, 526588293, 53498055, 748528267, 943616200, 718500488, 191233384, 696267709, 1037707526, 97329950, 99748902, 982005194, 551129120, 665133700, 660230069, 97526, 1026725003, 334855440, 613946191, 152668472, 800772745, 664972745, 60163982, 808478954, 895978216, 996257541, 665316872, 535224236, 837027831, 874176396, 54109956, 520108341, 1034531377, 1018039807, 95795714, 1010454335, 934625915, 136187532, 272258180, 327168049, 956218493, 413747584, 375076222, 384263961, 779717118, 395115368, 730885886, 97146587, 1032858786, 318681944, 166853497, 343283761, 502513384, 1013160338, 314249463, 512767211, 327743679, 540796371, 336715166, 440050824, 928818059, 713820165, 941701073, 1001576686, 653809897, 740209338, 47237202, 408167458, 532054193, 168694764, 619360305, 326880810, 7235260, 35932154, 363060245, 273777362, 793183929, 55654688, 1039067751, 932041787, 560031347, 975501995, 740762641, 675071756, 121156523, 530663321, 1023982320, 860458931, 516817023, 457065466, 894686386, 710873020, 68864934, 961406085, 400537689, 764253557, 705016821, 824226648, 720901552, 661890537, 378395013, 833742169, 367051508, 518779304, 740373083, 1046893939, 401106534, 172836123, 806572796, 561659537, 604180966, 955927404, 158319414, 220806016, 522326438, 665221085, 24596655, 720224760, 845699551, 597034922, 57156608, 386114799, 140950606, 141215349, 746924682, 347369475, 711858819, 894995201, 394879041, 983093984, 484505503, 369787433, 1058037241, 378934074, 830565731, 482484517, 248950017, 860048591, 213551549, 1060364014, 65349535, 625921937, 227718460, 459945073, 842335946, 139602241, 269672578, 480842792, 685871773, 591593727, 116354601, 322218118, 76842333, 949719044, 88771812, 1069342305, 620771688, 863491533, 462853515, 961933338, 623492565, 1002263468, 710914714, 416058737, 959000007, 575939598, 317166778, 711302897, 888985298, 286383605, 664254073, 584986758, 680847999, 948174039, 464275486, 531707458, 1025135172, 339472830, 321892062, 723682574, 448161982, 845449140, 828858214, 582760497, 898684035, 124568736, 312753556, 119745654, 559200836, 244120139, 426261095, 1060411226, 379685862, 730170831, 435528012, 1001601511, 838444548, 40812997, 228448087, 80686316, 500623200, 653833041, 290088536, 254819034, 1384107, 266392054, 11946219, 328392908, 830120246, 813501570, 551383414, 1024165277, 775787593, 1060664743, 79161763, 1058721348, 958678683, 347149687, 303051352, 497987747, 668521286, 183009077, 274291909, 864893066, 276908466, 342012901, 671839586, 106204145, 455101669, 924908929, 823479557, 497058612, 613084220, 387866594, 538508710, 426919553, 610305828, 639388986, 708943832, 633352083, 739909966, 785764238, 647879704, 31750206, 546237507, 486594165, 228002067, 166169510, 332007620, 900202364, 578736507, 608880932, 681854990, 879236094, 7382160, 928092988, 206464568, 1066091793, 42673608, 314244258, 898103883, 623234155, 789771500, 645918108, 1009301255, 110497574, 327799082, 703602136, 510636760, 415716596, 626202798, 453207330, 216850266, 890558894, 229583956, 208400147, 713303608, 588727511, 860012551, 95467923, 599800228, 1062935393, 492758273, 383421625, 656241004, 480082833, 364980311, 161836522, 781131822, 71663613, 72339260, 623328386, 792111278, 985724510, 1055339369, 921972117, 996610392, 114623401, 222631775, 979900705, 80921083, 967046505, 177837276, 38759930, 989668080, 417927290, 446963719, 212114988, 1064383537, 816497242, 841509029, 589159093, 646781024, 813916633, 896448592, 1069467687, 453551697, 594080895, 301168400, 320887965, 374274885, 349601606, 144182001, 56369930, 279695030, 632936155, 1041193920, 226914967, 835540015, 8975056, 568035518, 1042409070, 269109979, 1044159236, 971028665, 383825988, 769267150, 1052077106, 960122336, 422294438, 650722482, 1063954707, 213933660, 322659545, 1056845482, 64322657, 691273288, 1054435680, 899478347, 577752777, 1065672711, 569124483, 1062486093, 117608176, 405275400, 410426898, 198875793, 409841212, 690265938, 641109640, 428860932, 700551787, 149557235, 600958791, 113794143, 149047093, 803058381, 416356736, 53507594, 866727968, 645406786, 405314802, 633799332, 476399140, 133535272, 660251310, 862433285, 374482549, 414212571, 226191552, 308065987, 339840959, 398953455, 12685555, 55687719, 52456763, 310156600, 138639751, 182518951, 489761430, 797025816, 812776015, 104203436, 275952541, 1024874018, 436281393, 361525169, 979210248, 264015118, 643817536, 249314306, 513184108, 731789801, 998779579, 482766385, 853396022, 277744454, 973317832, 551537620, 13961076, 848919469, 68453199, 970218822, 907913607, 945988162, 229163963, 1049695785, 759545714, 51596661, 260068680, 226211161, 629478813, 900950218, 1042622966, 809941521, 789964535, 558362549, 739985420, 222867405, 730537734, 485238500, 1007995829, 725632750, 8708279, 541088999, 695502047, 480220803, 927755912, 426052540, 604753151, 339509829, 960932205, 848172977, 892791064, 1029636645, 1039886095, 29664924, 201636782, 819923414, 911541530, 289664035, 740168305, 55825966, 816876555, 360545849, 700957541, 786969678, 35919805, 483967591, 610745735, 588160633, 453136628, 891476030, 798257403, 128749291, 189612630, 620992672, 259193473, 24302669, 478594416, 49967934, 193131514, 1053131694, 930404177, 816653373, 720361743, 711459180, 65043312, 246065708, 704195528, 310666706, 880246553, 564916431, 581836819, 469185216, 305017745, 382880608, 616938659, 226564550, 647186278, 690766209, 993175168, 75735718, 593995039, 951326297, 968623543, 987718134, 39131600, 633121516, 558464247, 510822399, 933326629, 254413570, 936331174, 930963765, 337726970, 151710957, 205279991, 891800387, 368199842, 1044978668, 599154517, 233261409, 512108261, 890189988, 1012112287, 1031899403, 185189996, 984348105, 752392927, 485963751, 1043684600, 1005917838, 873907522, 484133508, 497023719, 182300803, 541203656, 471591657, 673032289, 925338421, 155254801, 388837490, 906136043, 878039336, 752941816, 556074456, 892578385, 122408421, 955665587, 642284052, 255443972, 970158354, 801798781, 923826227, 296796419, 244871210, 879286210, 1005984294, 610847359, 487784505, 141273767, 614756154, 797381795, 5019963, 376209844, 422054297, 194303847, 18590794, 379751866, 830132090, 680795189, 374974774, 955793270, 885046249, 538771546, 735235663, 19467736, 659322113, 232661544, 380306344, 203532052, 101264517, 660151924, 552025115, 948691783, 480712141, 241301847, 10250783, 189566356, 1060696053, 361051001, 199289761, 267939153, 817416930, 277671764, 484960334, 697140238, 313195435, 1069667335, 722507253, 169840574, 554945399, 971734561, 1026240719, 526226017, 301823112, 356647359, 1018391356, 283663952, 403394521, 51381855, 593755243, 994087957, 14402259, 1012581780, 329096274, 794380730, 180686858, 320439326, 114935796, 275754623, 81060069, 982833503, 417272250, 332902481, 428433661, 799870511, 947727638, 316973287, 80641105, 122562401, 330811685, 828602170, 41730046, 538737863, 389701991, 908248111, 640630912, 30780066, 1015535577, 428558756, 561749044, 720746911, 78574004, 954371675, 359980285, 773375881, 460699412, 75735087, 942330461, 788389257, 838124875, 758713722, 699742701, 317946927, 215204199, 767530875, 789658680, 813882146, 332304101, 366163573, 590165509, 464908833, 41024763, 649944667, 391657524, 507358058, 832330123, 1046667275, 843770222, 837311313, 363707050, 28269891, 299283265, 65406897, 190989325, 715891779, 21381420, 220480807, 830873948, 491031005, 283847562, 896354132, 880035355, 451784656, 749661600, 648544900, 836813259, 1072490637, 470378462, 510074816, 74938499, 44994909, 358197242, 489515125, 444468778, 775617371, 560423773, 51891789, 985532961, 252809911, 436770508, 382009194, 330560227, 493920447, 110822013, 1055905233, 447793890, 425703726, 110551733, 914138676, 76998607, 353056259, 336983385, 297916644, 613310847, 227312388, 176510450, 568264218, 860684761, 267364426, 889157589, 326674341, 1013557734, 657444685, 261432774, 631603017, 517312698, 763607558, 380346943, 172254037, 150014710, 702304360, 130451504, 998702221, 309351311, 118921594, 361814176, 850877900, 944496228, 783375320, 272878108, 673672428, 131698766, 288343067, 582217669, 166794573, 162224663, 634579643, 586155202, 497393436, 316612944, 831066124, 535243632, 424887101, 681223056, 877811317, 306894568, 466456837, 853368394, 456032404, 7851219, 430217817, 880420407, 654905260, 867802016, 81459350, 1044491723, 394388310, 394261862, 997816597, 610613127, 436492348, 271263101, 457464885, 212722763, 119999000, 535650520, 393932307, 30306276, 976868955, 847787771, 1011544788, 85031503, 975612703, 200177867, 217188523, 215025034, 722881372, 334197887, 512066332, 186149645, 695947066, 90312207, 778936092, 248331142, 537387443, 887683151, 376318089, 830076838, 954865806, 296422681, 881239875, 1045245143, 673245938, 903987313, 597842698, 654340724, 44393981, 287468359, 502792910, 313080589, 697043439, 717864386, 137455116, 329061951, 674817745, 401244742, 547881338, 60342598, 767104241, 573560972, 118935043, 238843687, 1033146868, 368106729, 330168793, 1041095400, 969192904, 39257410, 1035167319, 77660837, 148210576, 964518222, 628311305, 64794564, 416173843, 596930492, 633925645, 516436436, 941145223, 569543021, 865448792, 315174496, 525715971, 875361065, 794735686, 967488380, 330626142, 946234092, 265279304, 12642565, 791402104, 148954355, 661577836, 317403923, 576774934, 645622724, 541408160, 519822052, 995599341, 190101212, 162024914, 161265118, 942453776, 934576487, 343898401, 197074785, 912471485, 474989319, 917334125, 1023611332, 555295301, 1060191059, 918110642, 131756351, 618563809, 768676421, 401834740, 65140468, 963588751, 648547305, 189734286, 1060048851, 392014273, 359745470, 166984448, 314706799, 1036735212, 767179582, 500373016, 715771157, 314092490, 699206982, 590299199, 590208512, 338169438, 186834365, 72028990, 881452389, 583046677, 811368100, 51420656, 139267449, 604282784, 336509618, 356528889, 426334952, 631471252, 639103282, 747890000, 632775958, 207765752, 322190302, 814067432, 450546039, 960021526, 765805992, 923855297, 671024493, 653135041, 496136452, 772630858, 565060060, 222050106, 811924309, 1058737250, 883355484, 777884178, 281967493, 322821889, 177769954, 763659513, 484348124, 293535671, 953071424, 834804601, 751198816, 918803850, 64358512, 745632622, 960236764, 704549223, 79543775, 786669696, 753587508, 364641721, 889964385, 202668723, 409490899, 416423550, 73934114, 374587700, 182299637, 754315767, 1073173592, 640543367, 352269518, 137384406, 554380921, 1044082994, 815667661, 24365651, 854646504, 544659472, 921725207, 604321762, 565344833, 214057932, 53647777, 878700967, 246147998, 432129387, 496005630, 947865518, 667641154, 133265927, 773571670, 115265044, 733856347, 827821127, 1026226567, 361219759, 946228339, 527685950, 435041457, 516583957, 493007280, 766197394, 930351264, 186907168, 491857771, 874560672, 461955423, 493856822, 967907138, 708195727, 255146547, 728429693, 913037566, 952486451, 969331706, 719169614, 718408987, 1071549147, 883639905, 775980440, 891289538, 854182432, 736835218, 351682980, 235126803, 923487426, 718193950, 700316679, 132450574, 397834367, 918894528, 169954099, 968575545, 1068081660, 178925814, 382527900, 185354516, 34555493, 339241393, 268908179, 332564465, 133691430, 443901993, 530020716, 340118011, 218764786, 690185182, 621099353, 612463402, 44528120, 675563892, 464098580, 1024952232, 782025550, 234703439, 401673558, 452037438, 92031808, 181545919, 793368082, 685685171, 543124427, 573670506, 206170395, 928833265, 355385270, 66852085, 99988247, 657587444, 673235076, 155479365, 490365712, 208191487, 1030664759, 597927267, 661499416, 849267973, 699026938, 722319569, 407356243, 345241160, 1003401127, 853589134, 1031785908, 376667581, 370205100, 1052435904, 332317694, 699541763, 651689815, 135280365, 69317176, 889257100, 804989262, 764680043, 570174487, 21165167, 274536572, 195199775, 932759605, 825899672, 892230188, 575313147, 508473528, 252918049, 804075762, 549915967, 192046136, 905583004, 477133091, 444475701, 128879169, 1070658463, 858782547, 755823710, 127435537, 849681547, 805275834, 510656690, 336932542, 546792229, 19515960, 66207773, 143079507, 645973097, 867914252, 17082462, 864013837, 120505757, 661974435, 981067119, 991732734, 453201238, 124720225, 986126593, 377576371, 256966844, 1030930045, 246743852, 74728232, 562838261, 653444366, 143342296, 359630081, 813782179, 114407741, 455931448, 596854147, 362227854, 248261701, 773714142, 167914431, 176768160, 853178505, 465561829, 859586037, 547776942, 413886094, 26850334, 542304152, 798058311, 865152051, 37389205, 456633287, 339304958, 468759632, 417107331, 965680917, 723248438, 846554934, 302641013, 767371364, 522057315, 812527240, 837737782, 250837554, 421550409, 865527343, 269535937, 450788583, 278051886, 205137063, 534388294, 105824958, 535374068, 1062360283, 426078616, 649802670, 961571065, 262804773, 884763339, 108619363, 293932818, 699273877, 737271741, 714535339, 161497342, 671242598, 1065324030, 787585334, 575622219, 876120160, 951829335, 85541337, 166492675, 496855130, 971091909, 215959519, 957334356, 748547363, 610856958, 501058467, 625447779, 62742239, 814503771, 392379068, 109100076, 382807700, 361174153, 350490865, 430715877, 210397764, 311353978, 258467309, 517989393, 273897459, 355670608, 673606237, 940084995, 843630151, 525416422, 930518563, 528600691, 296591901, 692461713, 497424623, 615161298, 999397808, 863846888, 334075707, 357588094, 785331621, 650655411, 162446610, 1069712216, 1020382494, 129969111, 669828952, 501340009, 358059438, 25732286, 235709546, 327268665, 565122317, 894145564, 1055729700, 33118164, 819022409, 919987831, 956637605, 559763486, 278441130, 452813983, 732363522, 901893748, 275438505, 970807706, 956145426, 76288463, 450494341, 219058361, 236703579, 974174422, 667729851, 11661051, 157980096, 821960659, 718832842, 106304971, 596882454, 700687462, 796178599, 151624394, 16311156, 347514325, 626998673, 380278660, 84708591, 670656723, 400604502, 781348582, 152457359, 642182965, 244198902, 704873231, 1016755519, 896528700, 341879658, 220544256, 767915279, 513102000, 715596218, 414960696, 561711156, 416604661, 997907913, 938731116, 1020166084, 168000130, 973927374, 541216441, 1057838201, 760315532, 632799197, 909906031, 230818099, 14226990, 315170730, 34598524, 403064812, 749523577, 974871663, 529528263, 825720413, 562917757, 441031678, 835121985, 879443523, 356572439, 99235474, 1053204733, 288837016, 135508845, 519240159, 916440096, 47177707, 492895403, 320028201, 613030481, 499031878, 870235751, 894660691, 986840878, 144557203, 264852412, 778636231, 847164076, 608236435, 1039716785, 727300400, 643578300, 653657064, 746008917, 201512854, 950761858, 107445199, 381520273, 203264391, 345601123, 395760896, 640529016, 236295347, 126691777, 13535899, 946868390, 650919448, 543047166, 441140626, 799517447, 510736305, 1048067053, 838612744, 809128750, 691417491, 443737650, 640559306, 280346364, 730283129, 103052859, 1011301584, 772909353, 64940844, 891181853, 1687413, 248050249, 908772360, 907470409, 598609229, 1063729963, 672276411, 679098028, 487914660, 480880534, 133262507, 898255894, 705385237, 709198121, 36013520, 310693963, 127809711, 650724277, 6659383, 585507127, 184784826, 804226806, 790655753, 939345896, 908289740, 143310008, 953663576, 989272357, 613991308, 774365364, 189818186, 454292703, 703250799, 617653783, 157272212, 675497028, 927703827, 457695292, 36761306, 638505508, 55795152, 281117455, 625152232, 979185273, 184025164, 244152237, 217650786, 379390034, 194507631, 313241517, 3434469, 115202351, 450394887, 649998921, 872464592, 72823727, 425655990, 934638084, 595753567, 807607270, 993530933, 656923518, 762591248, 119100311, 272247857, 845180201, 755306279, 729918520, 749848897, 1025765724, 450044830, 53204338, 555776949, 586024108, 1070331004, 116930695, 423075250, 929647274, 944925831, 382781069, 352938807, 1049564827, 170090147, 649372701, 883042568, 1013376356, 667674598, 685490042, 547062475, 858934639, 843253120, 138561286, 79877948, 290671506, 147093816, 459694048, 390406348, 248386835, 773251703, 283278942, 546965748, 358209969, 706509657, 649206682, 122941947, 893257544, 49743282, 286396042, 473833435, 815132826, 659470770, 630077961, 492891220, 393950470, 823316243, 858732152, 447495764, 313020523, 227168521, 184105560, 1022822591, 7540503, 735600021, 713722962, 935162128, 894228649, 948348389, 739318693, 524249318, 1020579893, 1072006136, 689474180, 454473106, 410585061, 160021963, 789613368, 757377382, 664100802, 986187826, 190401549, 117109385, 844026137, 1055098661, 997461204, 52410610, 173205373, 1009317016, 156854479, 415281196, 1022954264, 704275631, 387783113, 588652673, 116498137, 224725344, 613314705, 447494663, 1009832784, 789850105, 243298569, 386787988, 356543878, 341593999, 907028103, 632561211, 352331762, 932186082, 1030420186, 1020488916, 1036993830, 457844956, 205541971, 266937051, 109868507, 129917547, 901251632, 880364595, 142253329, 307947706, 394122045, 295459500, 587560839, 162491466, 137129644, 409401851, 389531204, 10688112, 745808547, 393902355, 691855077, 287865598, 1050966960, 192531945, 396240618, 297193530, 681753392, 171817165, 556094670, 556613364, 898815193, 926979004, 526800156, 436492657, 154749393, 632281375, 1019074350, 48834815, 117126149, 928253052, 994823755, 1000673253, 722093583, 230047267, 818779957, 815412230, 420101977, 332630764, 437781792, 740241589, 233439322, 744607612, 531299202, 397612858, 272361794, 304308333, 708114399, 242639843, 575471726, 625809255, 714110504, 946448231, 295207353, 891881821, 895174903, 856394281, 571202790, 554767369, 62232915, 7793317, 843726496, 780281613, 587612232, 946661360, 204442236, 346135824, 715662962, 130410640, 125295773, 795886378, 1012708049, 228482438, 751289842, 740775520, 718409234, 684618403, 364996928, 148733451, 699675595, 283622801, 471394789, 933123991, 297393669, 691193979, 96216182, 108294136, 970656338, 1022173348, 184837635, 539956785, 397805218, 328884994, 572134647, 884804736, 629286782, 604017205, 310662335, 764823162, 523750665, 385339977, 943515957, 1044875373, 717177255, 331413799, 402341317, 340899991, 695783961, 615397752, 145709586, 100315756, 38421798, 364770998, 215972955, 889850712, 161905244, 416777971, 708015886, 1035022413, 341793983, 1060589574, 100689992, 611387145, 209574358, 267365198, 716793280, 899525629, 1000429130, 640830706, 54733068, 29957624, 945343843, 775111107, 391870298, 872930742, 215647240, 284460956, 686878826, 455618108, 484601515, 652737947, 883424985, 950103371, 677018594, 270954145, 254059322, 617253551, 414058041, 873308555, 889196749, 974945933, 182325130, 1039039889, 4722896, 1052292229, 400630419, 320263090, 84736373, 797269840, 405425782, 186810897, 740272553, 547881551, 824873154, 1051807453, 577896205, 693951589, 429376433, 906932907, 865111681, 241732271, 842744127, 831179588, 1048776492, 385816447, 871486434, 635551740, 866983234, 233555158, 1039712063, 4238341, 936499075, 601387597, 745934112, 571583904, 200783145, 483694734, 324757456, 871032872, 49642797, 302303861, 486411774, 995520795, 228212299, 1043390281, 1069348516, 76944331, 873117417, 246265960, 561994837, 957269783, 599137455, 816476263, 456449425, 303810672, 722402103, 85897836, 602495264, 698737605, 394344768, 480327235, 22231622, 396420189, 789020656, 597294451, 1024461361, 775683081, 29783171, 115988327, 17258584, 828026971, 838928096, 493417429, 309234657, 427573231, 918589206, 224522583, 509817133, 746860070, 442345339, 245304678, 270817403, 109643013, 951896669, 462498456, 347905260, 646563383, 95219188, 547594513, 17375329, 783931976, 841337936, 2788777, 358726853, 697875325, 617194979, 390001130, 1027626473, 10719218, 509806306, 329149920, 379187341, 624674945, 235790807, 538713584, 758948745, 496487237, 309964529, 360829037, 436812749, 713739433, 279275991, 984622604, 691988149, 858918041, 657332940, 252352288, 1015654324, 892948604, 655458745, 96829259, 911666565, 326351478, 29614015, 191132243, 294539920, 578917330, 828015173, 237152717, 364105429, 104656627, 850225902, 534075828, 908881600, 909047815, 1035090551, 972024762, 188288766, 709182280, 710210762, 613109837, 21137660, 63375333, 63758228, 301735091, 647165823, 630014003, 296322, 108360003, 1014714393, 36478002, 924573420, 599391303, 636569162, 173018528, 649939151, 276447236, 977139299, 923706318, 895713043, 676180475, 423630984, 866953964, 697274770, 493782378, 113944170, 619046658, 448310752, 893236342, 833936304, 653797218, 378849683, 945256246, 244734557, 1014980100, 252317647, 463537327, 252389855, 132898092, 816381332, 623597502, 185344809, 651040473, 533838578, 804284968, 291030951, 37820892, 316958017, 609197588, 142589960, 60221591, 720739557, 161911776, 754764208, 781109219, 601959195, 331127087, 1049042990, 400259945, 166975436, 1073220154, 271368427, 612597746, 927371072, 456581429, 969062948, 816728661, 162616050, 23029255, 128504356, 18721819, 936966592, 138284173, 300992648, 1060245365, 323898769, 579394188, 522431259, 778109885, 6750852, 99440879, 898612296, 803565023, 761749370, 322319086, 334435714, 119175031, 59056920, 998058345, 627166838, 550537242, 801968736, 964418942, 759487778, 1040678834, 229963102, 148256644, 372284382, 983042163, 716242316, 559456900, 476800350, 172319356, 265616680, 705604184, 671905938, 999805518, 782289449, 334064432, 198961251, 992431352, 226602906, 691899392, 378939785, 246393425, 33635082, 836817777, 300339867, 247585539, 864625818, 42654583, 201213087, 285955991, 400756335, 181143559, 800083298, 498314948, 141488149, 518005374, 796698288, 705684971, 548977521, 939736435, 565448224, 914259848, 948593713, 439939146, 624470690, 676881799, 187500228, 915724886, 808275054, 58337707, 655667512, 565221835, 63647359, 552582280, 983326017, 346554493, 646692540, 545338858, 919658435, 891352873, 107894118, 412771201, 523294696, 686937951, 282927846, 224788146, 62593963, 947235128, 1037455188, 407365508, 799199843, 130067783, 218070775, 445850567, 139122000, 1051947264, 860706740, 353685069, 602278754, 1019266115, 776483362, 440650186, 312362663, 572943088, 428357884, 692443253, 466921628, 247630914, 854911282, 610735, 399530133, 184507023, 221523139, 509055588, 968914016, 542542399, 524337781, 1013057535, 979570604, 681563557, 1060598583, 113314395, 833094232, 565359195, 43917135, 665159207, 778555216, 101931162, 624224644, 546091339, 665789841, 906666931, 322499208, 131638745, 877572502, 668492726, 958370171, 321663164, 671115722, 898439707, 392938960, 665383301, 448287914, 39799982, 64009858, 264393855, 446017917, 254612548, 656471947, 783219228, 279293685, 338760770, 885121864, 850114032, 647826426, 551153205, 387114572, 968937577, 997076768, 18495681, 360295623, 839011506, 520323835, 58788251, 866156148, 675957705, 273189321, 202745842, 64778733, 662638121, 1836982, 771271203, 643154684, 1058463112, 670145783, 755614629, 445157579, 216292508, 373682958, 1064318809, 1052788805, 777024480, 919165636, 1058510418, 46910694, 13376743, 589876792, 72178577, 480403827, 1011570011, 137369326, 580172447, 463712485, 769199069, 611031047, 921122515, 1044902203, 964170877, 543924560, 965938927, 253913739, 4856184, 454758582, 346230664, 129320522, 1001016989, 1031944792, 731269674, 218844070, 937946144, 767956594, 486596575, 416893626, 1067306105, 926619060, 963447755, 898268128, 402426179, 297411019, 815422808, 225949972, 462105024, 918968298, 374891217, 135060370, 64705950, 451369740, 53527682, 510318856, 951672654, 726935962, 1054496186, 881926543, 833724268, 25791484, 508913976, 848022978, 720798000, 707495846, 503022854, 700378164, 343075559, 686428124, 813611983, 993809681, 254334559, 195154556, 1036598236, 333961772, 71609189, 30407160, 221463338, 436218284, 569863711, 479233850, 108549157, 242811448, 920780400, 868459342, 538868952, 76751078, 322365546, 588773974, 473597490, 366431227, 907690467, 987093336, 16891959, 862142952, 289985612, 1053036938, 311758305, 397886833, 1037342191, 431331733, 191113891, 244896382, 561527698, 1004680159, 1066209245, 283605113, 196569834, 811305679, 603835003, 959696464, 121044658, 640351883, 223565309, 524799002, 698414844, 256632503, 704554846, 223448844, 162449663, 751183442, 933165089, 457554496, 858130656, 431700716, 986644830, 1045710078, 726297620, 1060825059, 1038057615, 1012183486, 272618313, 227868977, 627825554, 829780914, 9378141, 815295956, 756991213, 899606551, 767457140, 980640265, 558430487, 369405916, 955920271, 502165598, 914751511, 552152813, 1004579018, 547489709, 8220912, 87958740, 738404769, 995302252, 150653129, 290790096, 971979298, 282746559, 106366407, 993829502, 813937866, 352340720, 715015291, 1038317376, 281505358, 856064755, 596800347, 132158519, 480450099, 409939985, 1013571373, 854724940, 415611107, 1058919588, 658607736, 634654117, 621836459, 735989782, 211728222, 322242724, 281077599, 867950719, 150787684, 875884990, 1047593502, 405646812, 742237460, 330138755, 327305523, 108489706, 454695648, 941745874, 558465517, 746162758, 164857259, 589017603, 920908062, 58988037, 106752127, 740865859, 141412068, 84145833, 1016981077, 510868873, 405786324, 684999676, 639194150, 102286576, 804307414, 291733283, 910749976, 654149304, 549319383, 503244940, 365756064, 823081090, 921097122, 376866593, 1003357621, 225480771, 831752780, 999352789, 1061056340, 444037989, 237932980, 56062874, 998126956, 407444754, 84752870, 717809627, 340438593, 447311538, 646759919, 879125461, 674839877, 479007047, 168136424, 188068059, 124032535, 670070855, 934992884, 228779164, 949873448, 292205151, 130663019, 1010353502, 347933843, 720994176, 252926169, 671842729, 310190081, 905028282, 914473658, 218208849, 965413113, 410257567, 750170933, 726169492, 375332893, 606452219, 418502932, 836337093, 637311990, 930639779, 70797987, 861493746, 543513799, 583594260, 521950794, 863199680, 405679640, 991410492, 297364308, 690404036, 929332088, 291573604, 97312325, 290646541, 980801052, 994411196, 603124084, 865034684, 1016033951, 548351971, 393889619, 649435005, 832365607, 833462503, 282877862, 673139571, 720095043, 526298959, 457580632, 730630527, 1391483, 408826200, 772265352, 147076340, 733561368, 109887457, 1061463877, 509108835, 680700907, 363591270, 33480207, 969816392, 398377739, 681147886, 683499242, 403510484, 452434064, 562905482, 1023296187, 451004968, 948492653, 863914149, 815419389, 650190571, 671397347, 508633369, 432519597, 859641588, 40563729, 803358329, 478860567, 512241168, 533346180, 10096084, 141203351, 1023356072, 764558486, 972640716, 117393903, 400365749, 447845736, 5859052, 784157343, 349383664, 185065854, 981579686, 112449610, 685580786, 390427665, 810206345, 468813819, 257225384, 605930017, 1001996269, 807306593, 271021020, 909740296, 684037427, 968768088, 362487587, 531672371, 860825920, 306259235, 1003895460, 114696886, 1020589667, 561498656, 320972963, 318626703, 543679406, 635050950, 334856168, 308110273, 627032581, 647411230, 396846224, 1057776816, 723723485, 92934458, 798536680, 1052895107, 420987060, 969609953, 510804244, 571751120, 247551293, 732372721, 149533967, 784233601, 771849987, 585598771, 218159794, 693476984, 133252892, 591513014, 606123869, 203373467, 441850650, 849732528, 805101993, 868308966, 110311393, 258332341, 891012040, 294005884, 371163894, 698253771, 893757920, 998039539, 827655149, 66653284, 902878018, 884019232, 275810146, 344811242, 626443824, 989622469, 197140327, 1034446928, 229768305, 23856505, 1037125844, 1064519746, 812998685, 133513731, 365675870, 798323981, 854205860, 175800843, 327734829, 1007262548, 164405357, 663452551, 1064558468, 623012573, 162319258, 782007986, 815174482, 586563968, 619291240, 507389185, 817559915, 409026818, 77061903, 265515098, 437213081, 971199754, 1061594502, 178916196, 890606858, 78257592, 359721178, 576589294, 531963973, 388510964, 199287278, 451153199, 67750174, 274759242, 558435400, 946597485, 581031473, 648850880, 639149134, 445238014, 521558630, 168193399, 815812323, 459031218, 1031364735, 951446761, 261766123, 255284642, 789166779, 740694014, 605701740, 721378361, 91341793, 1072660250, 46645094, 752916616, 496212837, 218045029, 794845284, 720634434, 204343020, 549818435, 589681429, 916394338, 476513325, 765124551, 856223208, 883047967, 885050150, 525882462, 244010849, 297987126, 78455675, 71475137, 672676260, 359790486, 55600450, 89962262, 490047463, 74630690, 994457764, 107395241, 198914615, 120045580, 17816342, 899460218, 33208065, 10793456, 1896774, 509306745, 816089934, 885521489, 904439992, 195115825, 617776474, 284009712, 915490210, 350018770, 622540080, 806496940, 333982902, 1011435969, 229202171, 958568409, 611498151, 787032716, 590101177, 619845116, 160870108, 189575206, 247153779, 565315736, 830148014, 172997091, 176877432, 884130882, 401371617, 671231523, 959147036, 66380381, 1046467511, 241513495, 989289184, 389182709, 386325974, 563109164, 1053707686, 108703160, 27507885, 371941526, 62693902, 478829950, 598974679, 856232306, 56815414, 401954170, 430453870, 743946432, 763138587, 1006499135, 401819309, 985019107, 306569494, 836084972, 88222419, 897193380, 641199238, 463773769, 1012630126, 731234821, 623635538, 365639123, 320048760, 444230140, 679066671, 968177359, 1015675087, 580454838, 640222829, 217499039, 606862715, 842523024, 325595416, 784653367, 34369812, 1017991656, 246653437, 52839824, 734667823, 917927280, 736307432, 4883342, 187161604, 253799716, 10460482, 227871068, 372487518, 953691318, 559641793, 151879695, 431065265, 446621853, 383958361, 648765615, 690227145, 19026142, 738028319, 362800164, 723174707, 258169409, 203368909, 15028693, 148491397, 1027548350, 1024042764, 711777077, 83454736, 1053008724, 27166498, 545178179, 568901380, 377111901, 477566680, 425320656, 571700384, 656456894, 462983560, 893533949, 513508575, 775225175, 377854996, 18582723, 248093643, 832822018, 834955183, 711292218, 273168218, 204816048, 1037344710, 229876325, 621278120, 610445581, 345862868, 532765190, 835749292, 464400501, 567007714, 805086254, 295374743, 1060007714, 588234003, 977977016, 212716858, 18786600, 91039057, 78052644, 597816047, 295893568, 436456335, 1034933, 301753268, 502295148, 354290349, 81229760, 252440241, 666415549, 900888378, 321481396, 883764168, 891755722, 453720319, 509346777, 254632425, 812092289, 477979938, 240352679, 381186812, 718704782, 113791874, 13600266, 568900264, 945844858, 539055054, 593625156, 1063846614, 444864203, 447354779, 972026303, 970690381, 776439393, 164930971, 1056858836, 1041305865, 1043214483, 82285930, 951636558, 150228564, 1059824056, 502139300, 187849928, 437039820, 870513962, 303796229, 831790384, 164732864, 532676500, 1061975622, 799857323, 196397194, 697305366, 904898026, 584452729, 743015938, 382333675, 64965667, 275928826, 1006701219, 425022626, 2632195, 111404250, 908215712, 939611433, 709581359, 753407061, 308052669, 196955881, 128412704, 1016432071, 662889377, 80262855, 932365788, 118549346, 496941865, 387371215, 431115736, 661730076, 441352170, 1016583791, 319677296, 212904272, 662606744, 841420338, 573918114, 324382384, 170707692, 905617689, 658398453, 680628077, 352481004, 177985935, 804006151, 650507121, 498451173, 335368061, 260938064, 1060484603, 1033786137, 344382870, 968648466, 332510722, 825566701, 910925069, 169831966, 944222571, 728186015, 544548237, 364792002, 922616153, 939456608, 229376794, 751278451, 945716511, 20244924, 881132538, 102225524, 815434243, 680658376, 388898934, 224459592, 762815432, 938212600, 499661211, 994605851, 170843239, 195580457, 727523122, 926043780, 1019324106, 457163154, 647923829, 118841872, 182292203, 499288632, 800775072, 450285587, 708923347, 614492740, 747315663, 1046687518, 864172597, 570511046, 41618152, 611344701, 197854666, 786964155, 258985701, 609619215, 182031132, 641630995, 491150178, 557933021, 36625946, 659270962, 43028584, 710339544, 512749257, 253263945, 904948842, 120919195, 172208380, 652000660, 328871865, 879287236, 1000964776, 767412010, 181747744, 828795320, 387595096, 877300171, 459420451, 5783578, 116343617, 66284927, 115429637, 216732003, 618803719, 1063368708, 995021563, 305827984, 691079366, 594662205, 174847491, 483952435, 739662434, 953196197, 359887706, 574711603, 600739816, 169514438, 1019802990, 669067179, 40236364, 768392561, 844769790, 497071208, 346445925, 26106799, 499749687, 577719396, 509168586, 720396531, 29828646, 611463251, 668034807, 947400080, 285252686, 570800640, 335228075, 343269216, 212103187, 817706069, 528473104, 418461085, 296413156, 753406407, 286516625, 590655508, 897320423, 134801511, 998952044, 935370881, 308887632, 817205038, 1035713219, 670370085, 552765949, 201738103, 807932128, 166991598, 755840956, 805364514, 588899845, 117544043, 383500301, 523591365, 638777431, 446140017, 1039376470, 611171447, 635930388, 877658622, 861076958, 50185915, 786148908, 114004694, 279054393, 704623332, 479547792, 664187895, 27200928, 955074831, 233969915, 529738604, 645675526, 254418736, 507164806, 249429532, 537945658, 461418208, 647792237, 640831767, 668027962, 991735115, 655216476, 490032494, 735292984, 802536726, 147408806, 996407556, 462094149, 1053371163, 206449398, 15609232, 192958314, 540345412, 928708696, 774138963, 732454866, 355660898, 1047978011, 594038387, 574386850, 575898442, 261614432, 687118549, 1044765297, 129850365, 331624384, 739631997, 150134049, 758743636, 911506444, 660007123, 811525160, 368919137, 692135053, 100300808, 60153219, 416584571, 208450883, 546733688, 277379491, 535057247, 333499535, 149243974, 715885163, 332687789, 643859155, 993709466, 309092272, 210139181, 870813390, 171190498, 759679181, 693081679, 556274486, 305681860, 615613541, 241134769, 658716372, 1055923013, 158789744, 442621177, 640256673, 44505500, 611047290, 171927916, 564232794, 232597016, 533377667, 963346414, 620106679, 347566492, 408186956, 661744205, 375025131, 599077406, 554308091, 870042007, 109793357, 501731698, 98508450, 49718989, 555035948, 485957265, 52884990, 679360196, 766445923, 319505085, 948710333, 399213647, 239169489, 263189616, 81574088, 23306082, 180607879, 899532013, 35158403, 383830645, 547882842, 706411060, 552728108, 789834606, 474534131, 902476446, 519313109, 176050800, 198171110, 174750790, 187006951, 664230607, 875137324, 330040480, 844285922, 270624245, 787444409, 691482447, 781558162, 198475134, 531955990, 407918558, 701882233, 326087556, 568252855, 587086852, 423711264, 329146186, 822568405, 987220455, 400577620, 19868738, 635674592, 450004260, 423251367, 485152689, 1018069634, 347096272, 387910814, 602504965, 960209113, 972611986, 70533962, 155137911, 19378922, 827793945, 670199044, 976827571, 695601696, 735384685, 395916757, 123943133, 534730144, 109303509, 422047143, 870012379, 440259547, 174472111, 973064346, 180968379, 116429063, 869271650, 839442705, 638802561, 269131632, 777992275, 697450543, 59255585, 93885555, 413747342, 74859608, 853727358, 963418761, 526305556, 683943179, 929054780, 528169366, 73034385, 991663040, 508359287, 473306449, 94716406, 449883680, 727633916, 313629002, 582139982, 940620518, 688958305, 752030264, 337765669, 731074808, 769849680, 841291071, 114101903, 167408498, 863688575, 830270428, 757634917, 1024009810, 933363038, 1024526512, 681186194, 602414044, 767739576, 488707883, 999231035, 713631353, 882241826, 161901266, 806315611, 414370493, 787090799, 186357232, 265523234, 679666800, 1006468316, 665043454, 406771330, 975745560, 507774172, 530029248, 1024878496, 795680022, 263793472, 630755954, 565097971, 811390994, 992362238, 139896395, 651801732, 899132229, 186581878, 1064968916, 291364720, 136452016, 111802066, 794923041, 793998145, 430954769, 404817187, 476311411, 565698802, 871435206, 285731273, 177389420, 181642097, 833582837, 1034475559, 986298540, 28569828, 365382163, 437150586, 808965949, 598051886, 884201703, 361290735, 356313491, 886598786, 998380945, 445267437, 919827693, 1046367341, 847347425, 62489687, 700764059, 617130536, 1006094286, 616816742, 724558744, 687287356, 936194088, 837680933, 130295377, 122470393, 1069766449, 219584265, 599820614, 240047853, 295805203, 520657901, 427678908, 758202882, 593616185, 747144040, 422121307, 558922059, 984504789, 1033404283, 623282911, 1007092561, 145913947, 557858050, 140492325, 637413024, 454681998, 474439939, 447734971, 152741280, 1011524586, 326612398, 1025987689, 1011574623, 949386381, 635884007, 341174128, 20115851, 562117563, 392122977, 31387756, 383670952, 202039931, 785812811, 855456570, 873264326, 648306860, 512455868, 428538321, 766082938, 141589352, 313202891, 230492261, 705765456, 552833933, 406473721, 770265998, 1067974969, 736973130, 618755386, 155082516, 438854656, 524886110, 90186509, 240873744, 598864233, 89937945, 441991738, 309706297, 1045403445, 838500436, 949593188, 946302141, 194196200, 959005066, 315383360, 544759912, 821514820, 360930934, 704343900, 721253662, 569221194, 455325181, 102564057, 149606154, 296233457, 470412856, 688271320, 888844044, 363889362, 910619577, 291580680, 680957113, 254432522, 685628323, 493682702, 115243694, 198528923, 653865994, 214555750, 19932791, 870146157, 512498743, 696263313, 442220739, 993741271, 149394548, 278586176, 779038389, 152552715, 56538046, 619587158, 829529309, 846617784, 937098504, 909512021, 979042517, 682841550, 130926583, 1009100289, 137468489, 457483729, 868511342, 174633683, 851636191, 801470098, 86744946, 965008960, 436057433, 976135326, 353195617, 152280023, 418532318, 276440816, 977492060, 621622945, 467751115, 412952398, 299754657, 127614052, 200698571, 872687758, 243033252, 1026549029, 80537758, 826019928, 43538012, 253946844, 345498555, 551484755, 226939288, 319872750, 178406783, 285257589, 682034230, 63744496, 519507881, 279097428, 912445854, 986465619, 634534205, 206396338, 379480025, 496963384, 841949817, 958858795, 95147150, 821231508, 211983183, 89716054, 528735362, 564386374, 675194025, 68749491, 310905158, 672725925, 326395749, 135724470, 164402691, 280070137, 278292426, 522966149, 1061416006, 876805514, 617264171, 913072297, 538277520, 1005703949, 653875286, 987795981, 319306922, 350870771, 912606987, 80036902, 744492901, 300995182, 591804562, 470464779, 471739545, 712262260, 542474318, 740264212, 811452137, 208362735, 328905577, 141592446, 48374583, 555505919, 188923331, 929333759, 899760662, 513061958, 157556650, 414401632, 675336748, 1002362367, 368734380, 397389444, 341247391, 573542471, 537540634, 932796724, 266613011, 405390990, 822760293, 602054824, 164347321, 769307499, 93808001, 935901210, 705035149, 273282044, 905245615, 979382622, 428180464, 230529484, 647587684, 665578778, 284953177, 521084869, 909011865, 469689076, 520642059, 590765208, 705920130, 691307844, 59888771, 233032962, 151672071, 525890330, 64402279, 160257661, 593474272, 1018919964, 332398668, 804936173, 284056718, 879313025, 425537213, 550617104, 392368222, 437470466, 632175917, 948376528, 492045403, 882258989, 634786103, 442872363, 917662502, 491162733, 539858001, 799543338, 430321755, 805640398, 601483955, 247923245, 22481072, 217241313, 439279005, 32192214, 176777738, 212987705, 855899678, 1059320694, 896470849, 96740406, 584248446, 981324473, 72761652, 1053249957, 509964859, 94450698, 627601654, 162238040, 382439494, 607925289, 455102132, 517641492, 121053671, 497047407, 560491328, 195469569, 903753721, 355770508, 396693299, 463276160, 542128845, 889268441, 597802259, 884631669, 757797812, 321863654, 208558905, 490432648, 299609788, 514142758, 729358646, 155660610, 855665853, 938811830, 356260306, 302625174, 188142188, 79005470, 833959374, 532450367, 822274426, 163125070, 283210119, 661856345, 674691693, 703691580, 18175210, 968810608, 413734334, 593215778, 794841234, 469796207, 607441721, 744782942, 694128851, 394036111, 1002035166, 516226413, 928152625, 453611991, 923080524, 803133378, 523859673, 392269643, 1059948672, 262318949, 508301461, 405183131, 1033094415, 812231537, 1040431417, 822744502, 952272908, 798491441, 525709291, 163712450, 297734046, 258904307, 339526636, 858745052, 137027923, 191518991, 451810102, 722586078, 79902172, 410726776, 821271829, 506990711, 913811632, 706320396, 228154144, 364944752, 498449821, 488592528, 997988121, 744028897, 1002346976, 622158464, 374980967, 459331334, 922934689, 575447692, 48270614, 307398633, 786173833, 819623036, 851435053, 293743605, 969202407, 327963661, 836356934, 421112195, 1052482276, 768236680, 833932745, 1010342327, 805117171, 286593276, 31681521, 861141443, 490480381, 955905824, 903632118, 713780735, 924694649, 28161871, 388043436, 140069369, 4667730, 778092533, 14669244, 621157546, 153387486, 487596490, 607714453, 513078359, 5935811, 201433919, 873864766, 36056592, 419834968, 973190162, 531756882, 853691625, 89973740, 328500188, 156980376, 551877001, 1016833032, 54505769, 814275541, 836854996, 1030671502, 957200490, 798794727, 195187929, 937146205, 706819172, 980497510, 440581567, 721601249, 507090137, 742816878, 751405769, 424032838, 767432593, 392586114, 1037121175, 997139230, 59468822, 367116, 452255943, 181040122, 835674826, 643936020, 135121461, 327375673, 912978723, 842428639, 442756853, 1009522687, 475990835, 831124121, 495504743, 770570131, 662409111, 104174443, 86750596, 959845122, 784809638, 616679430, 504757728, 464828004, 926773825, 338507758, 1037135314, 428920066, 790377047, 651825093, 758470397, 276539606, 52819436, 1007906983, 382807864, 1015471770, 860932070, 880542850, 206809272, 239756, 105488171, 982800382, 918884756, 817460747, 506573896, 712659285, 1002347006, 795089434, 401588081, 870493129, 314919568, 582801011, 234099634, 227086310, 419967727, 785382569, 908690359, 489776006, 421427900, 349057031, 988863023, 546797443, 145774794, 200656947, 697258569, 990553413, 660210130, 713722207, 674292213, 68838959, 201009761, 210073235, 960674231, 719012735, 325712663, 70129255, 785798870, 744446660, 51310230, 332216351, 1016324989, 782607464, 915438057, 933286134, 648319445, 495518809, 488411411, 719837526, 467516942, 689362004, 456473730, 44899331, 1048280152, 779730448, 551464971, 880746039, 937126434, 582392319, 987095746, 302215670, 809207881, 591550994, 984585736, 149937438, 432152068, 182648279, 1005640782, 433416128, 264974300, 54969845, 941631612, 241349151, 441432688, 34032230, 229373242, 1059635253, 697914969, 892215870, 771977946, 777108028, 521008352, 738592600, 157179814, 179400734, 819500982, 433125581, 363911563, 285812437, 281454530, 919638830, 150922, 389986480, 245064559, 847894131, 660610236, 750256209, 223858169, 690624262, 780579663, 171680780, 43820353, 177421573, 507784626, 508829906, 824166558, 473503610, 476391716, 655199699, 793943421, 1015606743, 695735150, 860753423, 152557599, 792978070, 324577199, 176895360, 811902947, 42028234, 510607532, 426226923, 386380455, 849470720, 605978954, 732556412, 373772523, 325990691, 899563509, 1001874743, 222751914, 133873350, 818346142, 302263938, 548155379, 171033453, 410824553, 469548704, 310585731, 221786061, 164101380, 631178803, 581324500, 166108809, 685751204, 850029339, 267070084, 1031393201, 333477755, 844545989, 431323228, 308850618, 296771331, 371235451, 1067486968, 791887402, 860434817, 376193783, 335630254, 247203785, 284046236, 252400241, 574488664, 658378276, 1004081948, 749121893, 786543303, 649579610, 983286260, 496671971, 285202137, 519567083, 970432149, 879616497, 288380071, 991975456, 32287467, 395919963, 1062184722, 354945947, 980255754, 405334111, 234875407, 599707516, 549707284, 259844753, 465521171, 379981226, 212279645, 885084740, 231704398, 341994154, 828217229, 444827025, 640975520, 709528078, 700394468, 473360631, 593781278, 354763220, 247631946, 151046104, 1006495114, 166258867, 542594592, 563594932, 673169176, 904904705, 1072721911, 326921339, 28282932, 130873019, 780893402, 859453, 979301959, 917453199, 330650386, 1002392001, 164831618, 628792352, 912545839, 404384257, 12691515, 203688576, 758138266, 1045109466, 484389932, 520342485, 800245127, 294238483, 552035612, 507105129, 326925307, 594014524, 913272659, 1008376267, 278298010, 514673707, 186389453, 557777220, 351952266, 655249105, 445263697, 922008988, 109421205, 899945609, 539773244, 103256375, 259455242, 777869, 908603847, 748111856, 438450288, 966091049, 693407093, 804069961, 972744968, 10135375, 919879531, 872805564, 712464708, 564362246, 906098906, 50869655, 249997384, 480301368, 571233403, 282518118, 924140061, 630554618, 253365487, 811884545, 61628583, 522533971, 869048100, 116438487, 815455771, 407849473, 215619662, 258576052, 352138350, 666742163, 958534011, 427562405, 360732262, 1052746812, 1054040121, 21848499, 380596063, 363946248, 1056538281, 737636817, 421686069, 894668434, 49751533, 842544104, 209847325, 927368716, 428610974, 794906133, 65706645, 7821750, 702848480, 698027136, 1045317594, 30885699, 38670297, 50695579, 841555739, 735474826, 621149513, 677947316, 88263871, 193936059, 415217748, 644837262, 271624806, 1060174578, 717121995, 29489856, 633085381, 300594248, 29486031, 194049490, 287694523, 283570257, 455548220, 283149330, 1015666398, 866626917, 506324644, 145117595, 643353839, 582257131, 874486967, 339131789, 999829152, 71887981, 515688460, 890204525, 42201262, 139384563, 396932176, 909651209, 126935257, 551388741, 924369524, 393560188, 656715102, 549674950, 763967565, 558267158, 901655201, 181885779, 640350829, 106181867, 781086247, 1024795805, 792977706, 195850211, 928988287, 965055023, 515708428, 998366900, 393320055, 272844929, 703166093, 308810790, 104211769, 784114697, 840740390, 281443491, 367129686, 1028278342, 930775987, 200933348, 1016216556, 775717329, 1049509043, 917147954, 142671803, 733936674, 769252940, 730877812, 469591636, 865597263, 323360073, 490609479, 213837469, 427369430, 478270679, 494668252, 643730143, 787005106, 522176088, 462220385, 271787207, 938674214, 902020604, 937104735, 524699940, 809251044, 866362737, 797010747, 893174118, 834210484, 727203765, 425255611, 161096143, 268748140, 359403208, 422202177, 645038602, 516895375, 274513942, 789982349, 250140516, 572375654, 665561645, 311010895, 728664710, 46231549, 561063460, 648282544, 578512632, 726248871, 243084071, 181009415, 547213324, 252464345, 148693401, 192813424, 723418540, 238484678, 279867829, 243212425, 108978555, 196882135, 1009705294, 538718579, 801276175, 187841331, 320717148, 834384541, 796520677, 684352383, 830495514, 69153582, 178548810, 191402875, 457407794, 571202210, 132345345, 96504943, 987755196, 685929898, 101593301, 260936172, 882498320, 62525941, 222422586, 351463453, 857426336, 455769930, 349141449, 653276316, 402525882, 677419008, 636627310, 764555303, 194053356, 41479139, 236629832, 992528143, 157522387, 351211707, 781113310, 547353761, 808726879, 888108549, 659328520, 723043223, 178874802, 147500854, 1011494837, 1070077260, 851967883, 54661712, 472070750, 150405390, 1035748918, 879405669, 720406929, 626237394, 918350234, 271056522, 506056114, 960577255, 782610499, 253393443, 301474392, 656902636, 543868191, 262240156, 665203669, 258840331, 862312196, 381964823, 810201018, 226675199, 208443773, 467558403, 456690771, 740246361, 684442423, 964780715, 985139181, 747276295, 1053072259, 973730800, 552720782, 89074235, 83590894, 180612705, 165208475, 593751720, 841102780, 466380834, 881770022, 555320642, 139311655, 509078322, 454618565, 884373790, 851716678, 367054962, 82497019, 857850189, 873892444, 587717053, 791595910, 651868992, 1040493108, 21166486, 956851775, 330418919, 703416755, 320635320, 761876772, 104800276, 163822550, 58505041, 1011002215, 474904319, 1061398761, 285610345, 34877922, 714848295, 996144169, 158071392, 714860392, 207912745, 98314103, 108576518, 874695266, 375774651, 131446628, 725263561, 359875125, 1053393378, 576329667, 824770084, 702589396, 176153697, 848199800, 618466319, 904435620, 601876758, 770050942, 767343189, 285268717, 332050293, 259796269, 391836358, 122528165, 1056958693, 666115822, 535962980, 626461991, 177180355, 133148310, 976280217, 75569426, 340751369, 630112342, 504825255, 1051550453, 215697935, 579439408, 853763916, 241613496, 1046988875, 550221065, 676259055, 93728891, 1016758431, 205823747, 795716343, 200701481, 466721408, 164231953, 152765199, 480727067, 686987607, 946191994, 1001117146, 288192656, 926922581, 567880133, 555920976, 870799323, 977401411, 422292301, 940390962, 135582651, 766196154, 165700090, 942823385, 95667776, 706230553, 366319471, 240129492, 790807507, 653901245, 185972992, 923057170, 181273468, 474107131, 420452063, 457141318, 801541045, 142359991, 775411011, 59538633, 31105666, 226453320, 464113394, 298578156, 580259759, 695203550, 533056163, 339895586, 185978463, 472699428, 102433016, 846590246, 102102226, 149697889, 932264549, 598813421, 549698015, 1018412365, 330111786, 798025936, 279068186, 64420819, 484301515, 342576754, 221373423, 664371198, 503078385, 869847772, 1041361367, 1064614963, 29727380, 432587749, 937436955, 348091532, 542829038, 923303705, 171054832, 422686286, 391757518, 796344211, 856768571, 595742295, 1054660274, 695302825, 1015408372, 1015172141, 651717461, 662621180, 742662508, 471048813, 514505063, 211527884, 634382784, 811811570, 624459681, 282849121, 63147486, 858825519, 761326982, 385682594, 80630244, 53371649, 759686390, 198845373, 815220577, 409065972, 526739254, 629809088, 795440997, 38058786, 985754919, 1018101825, 386529307, 511169213, 570675209, 114082236, 718128459, 515881512, 1034223037, 75442679, 381294405, 137361306, 18719304, 423231053, 641387297, 4844851, 450067244, 548481960, 147937243, 742748785, 539239666, 36095427, 294804468, 606384708, 568440353, 181724826, 216060242, 888292509, 997481385, 705981495, 708373243, 568058835, 469788082, 182671222, 835560270, 290110989, 591108537, 221469792, 255591508, 37872606, 741932567, 973599196, 320238979, 957775630, 980723101, 127511099, 89744753, 355876737, 399665706, 203211470, 892798610, 1043724839, 189516151, 437856076, 677315295, 483846157, 332112301, 345626060, 267958475, 250729878, 405035803, 686351888, 25144087, 927569730, 947193979, 800414101, 433653954, 916166890, 192782639, 353089005, 1000011929, 33779180, 313741172, 413348009, 1060221993, 735740297, 616931891, 212626640, 269492431, 350710637, 1026337802, 491905121, 519717155, 1012708375, 501648569, 988865503, 368135683, 129631641, 268676542, 723618614, 817643183, 918900695, 611255836, 912233776, 46189261, 1071649076, 726349378, 143266245, 36293213, 587098524, 352849586, 206633136, 259323685, 216781126, 287332984, 311654773, 369879836, 386581730, 405405824, 1021048363, 664090912, 761049140, 596652715, 353511004, 351830037, 548042176, 677463167, 456361784, 745001055, 649877788, 953300073, 906671878, 836649422, 218713069, 214324737, 434942119, 718817054, 996379611, 834450307, 388931555, 563102694, 166955241, 799214339, 54807284, 262287855, 243875752, 852528156, 332467468, 485157727, 538009097, 354065924, 1049961797, 525545648, 267565428, 999981443, 666514356, 491409695, 702812215, 601468464, 739132343, 765907091, 334634108, 556587190, 277327334, 755883927, 754361280, 451783292, 711730198, 918034113, 104650380, 69052129, 637467265, 591763873, 390520124, 1003656705, 765524362, 620068298, 130408373, 320356599, 920558692, 775936568, 508680723, 256182846, 448916465, 723904699, 216707019, 283239947, 177604822, 717972526, 890842026, 510318156, 940938721, 605700217, 475870055, 274656464, 800355289, 739642991, 979653998, 890916901, 778768410, 635740213, 251674021, 662229847, 725522434, 114741804, 69919286, 679007420, 45241443, 18960320, 464232893, 26263874, 962982613, 796982569, 54680359, 680053897, 1063466922, 951217050, 949962815, 38187478, 823123859, 185295535, 274869012, 804346724, 307354403, 274500180, 953624997, 940853486, 523031180, 319224615, 73343416, 799604287, 842547037, 830545650, 342436833, 444801909, 644848480, 146129690, 1061109139, 643536230, 745440517, 100974051, 1020789496, 601725831, 831529729, 272714366, 234341140, 57032580, 305583910, 951509259, 51669870, 290007483, 615789034, 137074467, 921775263, 475582311, 720906150, 987363603, 708210999, 790309156, 516096149, 392561265, 378923301, 722613401, 956487994, 242709847, 821326328, 160696968, 571216361, 313839873, 876306642, 420981668, 905383399, 263122635, 780249964, 217124746, 965497608, 715292183, 246482548, 1040220013, 928109719, 470933453, 712066345, 279927234, 1578980, 779867034, 298650614, 742466604, 312475083, 631113160, 918813066, 524994902, 914002878, 603285186, 816524967, 171258414, 403217544, 483829410, 624334044, 561395516, 752331442, 90468619, 685493627, 806779625, 366741239, 1025709364, 291292903, 993289803, 546198585, 261146500, 241034016, 973908343, 532666969, 817217171, 695046894, 52360431, 277393279, 487144276, 183082513, 150528023, 4777098, 955988989, 907793262, 852891959, 450675577, 889399120, 435472697, 185613197, 597071705, 474084267, 1005112600, 829101870, 527292961, 318838872, 156411089, 314083522, 483980717, 419454509, 244300657, 955214715, 572477809, 277457295, 903782857, 950273605, 323871086, 281616784, 153428582, 469350183, 895378940, 989589984, 300577094, 729708203, 779871702, 410075268, 559537121, 289546252, 681724478, 331225849, 278356083, 890743803, 466138717, 482206983, 558532714, 380330024, 204324196, 492099196, 216008235, 74183651, 407555417, 179306859, 779725764, 1036966062, 420644758, 97709764, 580206021, 10566832, 882681908, 935723859, 1069148274, 228596755, 66728907, 538007800, 100813782, 885816068, 744053155, 177171117, 257708499, 968792433, 88573217, 768357372, 372248966, 114935312, 427423506, 516180055, 236205440, 540082325, 921454163, 737525368, 386125175, 593174773, 777331097, 1048748494, 196465954, 27942773, 695770091, 276182841, 533627514, 473715512, 523124813, 323264915, 613392406, 180301299, 582800214, 212238124, 405042404, 584670172, 199563734, 717540255, 243724923, 1056699063, 990176121, 406073572, 429096794, 514114728, 355879570, 906997264, 732088248, 1058610605, 197835442, 464376264, 1063404514, 544580079, 797860450, 782501489, 514787918, 535446550, 268643409, 53371798, 415060581, 1010970789, 486507506, 142164692, 352336092, 118397771, 384945352, 507740233, 228144078, 881851470, 419402971, 19623454, 842898514, 449094337, 120717459, 967761149, 671443237, 434002703, 913769890, 613513609, 158816878, 949166423, 882460623, 736891191, 106498813, 685290844, 650018332, 528973623, 727710730, 545367493, 382289512, 333333054, 442778444, 549550402, 929264005, 823182607, 848464815, 398223415, 202358334, 478794228, 779575044, 1044930243, 1060450998, 177163014, 892548108, 550650671, 399918047, 991271046, 219496333, 28648132, 1061714684, 822477396, 414291738, 332659856, 945371509, 755517332, 339155119, 227759077, 127451456, 307675924, 217694385, 139008522, 547655715, 66308017, 493506360, 232270901, 349996706, 300361583, 135101100, 749955441, 1070967413, 289169994, 768738259, 533760884, 346016077, 531790892, 639375769, 339237039, 648686069, 223397290, 808325884, 1046155909, 553186021, 1020629254, 993646680, 644487899, 779984741, 80334353, 30318659, 271619304, 17287797, 38700056, 84187375, 682384409, 912554525, 234820697, 258546402, 798192710, 514437152, 815390377, 856401818, 820524458, 482438989, 388236090, 231520464, 393587349, 215422801, 595052225, 910699771, 380189081, 387607991, 625664722, 350238264, 32733054, 9513282, 978316950, 763327563, 73385111, 772601849, 415974073, 589589701, 76020489, 883922787, 160814211, 849331725, 468061123, 583185474, 134214006, 304935919, 328780297, 1042505315, 241673312, 15684745, 420255272, 70008625, 591010144, 601275419, 911154692, 8206902, 539303036, 752100003, 240201606, 442143577, 23792332, 209681774, 640048364, 816015765, 804017109, 318158760, 282443548, 749606389, 744356570, 19040757, 155455609, 103407074, 683558270, 750640139, 206225779, 542887535, 452818658, 589842434, 76727112, 666304065, 652225327, 563913733, 282985243, 1067214502, 103257390, 106348590, 320141364, 576486122, 575485312, 263848849, 442984970, 290765264, 542074677, 637013953, 982769854, 69321452, 523706127, 821187438, 25145000, 861528311, 966104982, 506723448, 689251795, 96880152, 895278689, 870262979, 558495509, 915935481, 267283711, 183399601, 1046911398, 458564363, 433385623, 665217412, 473040385, 714872170, 1068152284, 783283102, 152649219, 596221108, 412123135, 706953295, 672963700, 975890819, 332738677, 521956830, 787902944, 126730046, 121634621, 324595977, 877153795, 553032167, 682385058, 556890273, 559963122, 507961400, 579045132, 924958894, 357563021, 779461796, 1068091201, 369672296, 212825290, 116615212, 740725126, 364066968, 606127667, 635512041, 296416092, 459816831, 966928657, 305503467, 540880935, 322207245, 53399468, 517036315, 454472560, 247911079, 792353739, 842996133, 301520169, 965236235, 219993847, 628112507, 980879197, 315075342, 909514452, 391860519, 822789917, 8578672, 198522566, 257708401, 1057720020, 728791851, 695419533, 800586699, 890971372, 197386808, 695907461, 1065688574, 345791563, 938013435, 395457823, 1069700518, 12948314, 371807225, 567058359, 567778051, 106463118, 1056466649, 395794676, 179338835, 995432520, 746194890, 904039834, 1065256498, 265450200, 381738646, 360399044, 989525250, 965971331, 498269143, 500349379, 813325763, 815652170, 338395311, 266029384, 649853351, 639662587, 708294158, 185387096, 240161998, 230750710, 949654070, 904343897, 872497797, 661392924, 299964957, 291075125, 862997633, 613835745, 85663853, 505349199, 814557624, 173810876, 249707022, 981919814, 316014773, 34464897, 276885319, 975563680, 505511009, 748795017, 179254908, 844864519, 122625160, 506091999, 732293850, 628912176, 169955774, 968596150, 151400148, 383850826, 712555145, 1047601745, 895141601, 949947711, 541242167, 294555653, 48739894, 581850510, 178798951, 138935924, 60496629, 434458102, 690050317, 996862061, 914766659, 667239157, 427772064, 1023604509, 736844853, 385941725, 109417429, 889999232, 771741821, 627021555, 471451898, 308126487, 304400752, 1047702367, 903986072, 821096976, 421378727, 889224639, 715417305, 766780216, 107309224, 918576163, 445882234, 958503156, 534635874, 948031535, 260005921, 317451706, 532142851, 551146167, 1049256906, 653200182, 720830342, 383196200, 192280764, 468682490, 212654991, 73188072, 829414510, 769131329, 1072139386, 1029175450, 23642120, 1022424978, 155322050, 666861494, 67969391, 466940175, 249669426, 173719090, 334693720, 460114749, 908031186, 752528885, 570765011, 109559358, 660240855, 48996789, 602738978, 870616770, 495759748, 297491750, 84344278, 334284005, 945696373, 888134119, 258695650, 470654393, 835144762, 870409222, 597586143, 262727056, 509197088, 621940286, 834208760, 355504452, 1054776343, 542549323, 442280529, 1059988521, 730002730, 591256681, 685185548, 891284349, 980452358, 245394725, 939824708, 585134883, 367392448, 909918035, 36821043, 221363961, 365934915, 171594582, 169666445, 503063847, 234782030, 893039727, 387510473, 382147348, 1065981198, 390919943, 816856293, 297954315, 274185220, 221415435, 241800986, 582834933, 578649579, 210706184, 362209442, 190955227, 815004018, 444016607, 989848747, 869658228, 62956094, 827699872, 1000029087, 198884610, 795174894, 931156266, 297124773, 362141243, 501389228, 593079019, 438797200, 982480512, 752084280, 437039818, 572240253, 558525147, 134860229, 239764660, 548975552, 135918559, 77291422, 800195801, 915962680, 665462394, 906032604, 873525094, 701711789, 819309825, 542472458, 238384341, 981094193, 605145499, 658682722, 828279520, 1057391018, 986007876, 526912622, 673653078, 995432668, 56988497, 1049464439, 494625376, 839055516, 1065033196, 95140089, 282195754, 96055750, 613230924, 362115602, 660066657, 230332753, 748529515, 541499188, 45139712, 358408959, 189077147, 938844840, 347620249, 310174352, 263912417, 924361190, 887087055, 331627043, 397979286, 439875771, 390225594, 815591299, 935593350, 46481132, 360982416, 1022408449, 375172378, 636323438, 202688447, 18824751, 864896844, 669975223, 874029981, 922682366, 765053657, 106150109, 665202836, 589199231, 584405384, 1055192778, 1071013573, 1052553434, 420728288, 1027986544, 832237947, 451651560, 235369717, 735678154, 836089005, 191771981, 451582411, 1070357836, 784820203, 639726501, 333928977, 364492466, 651324935, 241078113, 759932836, 51099846, 679995204, 576880564, 411961460, 528464606, 1029011753, 159866634, 290293773, 312342332, 864460194, 324492507, 831185144, 598443620, 199843107, 402698412, 897327212, 976099883, 880925494, 198209544, 174692121, 143072154, 1043965656, 969461502, 101750816, 774469545, 980714906, 450627821, 436512098, 247070681, 557155349, 293456954, 328594797, 332636977, 355717294, 446963853, 776579103, 29699907, 425927726, 514948590, 321737694, 404706254, 919449225, 850228575, 739961625, 700922751, 967651822, 1051793679, 959369363, 472966378, 811605876, 95127209, 505215237, 644502254, 883962501, 823914658, 268858138, 190485935, 804905946, 447749207, 294274715, 368597551, 818105567, 216777824, 491100837, 847216607, 1006187683, 315764451, 827278943, 115165267, 425078435, 982596876, 850992852, 1012069471, 216234635, 869088307, 264521092, 388446346, 519659302, 1014001340, 277229954, 218764873, 512428767, 642094993, 286099135, 883125706, 634303743, 933613851, 635653843, 1044647998, 265083521, 859333471, 432928457, 456998697, 928609847, 733258431, 961867190, 57683707, 743041000, 716605302, 1003245599, 882832243, 791744314, 273892411, 440019640, 553450163, 1033276565, 526900354, 215343059, 478536354, 362998706, 1067435286, 993956, 580515866, 110175821, 510307533, 474651254, 969656542, 355249790, 281352696, 44422170, 613466002, 401978845, 8559092, 318563548, 162419994, 996802373, 5668337, 811955551, 872216709, 1000427642, 907442101, 615718094, 936392542, 716077659, 875159351, 222856339, 261695426, 512540019, 69717723, 1065439775, 982816522, 331099042, 214956273, 376005906, 795721075, 797716626, 1032509565, 744878423, 985459327, 7086309, 1001477671, 895556222, 350228888, 657741675, 286814772, 300936546, 858523117, 296275212, 490401535, 526028973, 848929003, 23359496, 392478233, 379181183, 849623181, 101555186, 982096634, 457189194, 411122853, 274854336, 1048915176, 606648044, 151067735, 829769377, 816587006, 837964514, 313849465, 132926494, 516460624, 520319935, 658315758, 730155339, 499457421, 1027475498, 695134684, 176463175, 9990770, 293015538, 158251038, 830163750, 857463940, 6172219, 261737612, 707283923, 239607318, 501154684, 1003498724, 699791105, 740772135, 224789797, 275831551, 477535431, 996672896, 690955395, 156738224, 345000160, 1048558148, 330465068, 1017186955, 773915873, 663457146, 687983356, 957493327, 823193162, 122743488, 492834862, 615313996, 949674713, 1003311942, 585082966, 450995915, 619333218, 116985614, 740664854, 805906945, 6980283, 487782506, 952299809, 992858305, 846408262, 404372770, 513878666, 351722726, 890740904, 1017363486, 983711947, 4789296, 434256760, 76314245, 410600980, 950296004, 753289234, 244838414, 956459069, 844289791, 524406763, 870451194, 2542896, 686028716, 92136997, 611043004, 131204135, 581458834, 913915067, 188603830, 344915170, 932263553, 336093199, 516043448, 697480048, 749451091, 1022844698, 497355856, 393299041, 406460333, 559161533, 836016776, 678217435, 31357727, 464009832, 932579846, 515579847, 635856027, 702628913, 1059367227, 341609645, 593274284, 883391140, 111844274, 1021117601, 803756958, 835357936, 806744158, 709994355, 292879640, 871035073, 251574541, 190224202, 744934875, 526758023, 655601548, 963218376, 562502448, 11850664, 439933849, 103114045, 967578906, 501557727, 571513401, 428591768, 98593707, 42406571, 898252906, 85329319, 799004473, 968314209, 613153797, 37598025, 61982912, 911449230, 227817137, 541621548, 909478591, 818859741, 925139277, 928817716, 651873882, 364667630, 670329839, 85190476, 993836196, 742840428, 276935543, 382706959, 952602165, 918836471, 803152407, 128043394, 713302252, 864162638, 47201820, 984112122, 433572955, 57423372, 1058050495, 185978810, 968239321, 129474180, 61348211, 557998110, 628433102, 191515009, 132229723, 849274401, 6675600, 71030234, 66633622, 952278295, 710046345, 255943624, 113976761, 47727272, 903710988, 5173429, 169757392, 882568916, 16291631, 19627402, 394250791, 976859463, 124056936, 56633453, 364095223, 1031042231, 226097626, 188597565, 978845169, 271036622, 793106633, 213816423, 121956653, 478120550, 770612179, 205388007, 431354295, 78981429, 547751872, 460350852, 747086458, 183698969, 280416658, 751158735, 875397985, 469084811, 803674168, 260803186, 349229141, 295179223, 818322980, 1039597354, 653669722, 579329813, 122606258, 752915288, 986403495, 338711676, 541374752, 405405840, 563281045, 9248025, 823721066, 849832141, 67963242, 291489584, 272519432, 75850423, 394070548, 862661578, 64128309, 122002223, 23811738, 856838574, 695492192, 156859086, 849258628, 958868362, 166589443, 999395227, 704307209, 25100695, 492736931, 567229701, 445038377, 989088165, 342516637, 914536941, 698761847, 486038700, 591250705, 556753652, 627788943, 491785576, 622112263, 474987600, 434378370, 1032936927, 41435741, 456111832, 5155299, 445365135, 362974251, 679717576, 971039063, 429040218, 724567664, 119466631, 135333075, 313067504, 93420722, 229258846, 335773427, 842621108, 483475290, 878637372, 684061349, 190088879, 647604491, 329191563, 1039712558, 819360582, 902698719, 225640735, 34041549, 380777729, 21022153, 266820307, 558853856, 507220441, 223789030, 816324631, 238917125, 490606938, 861790589, 617438440, 836054133, 761063925, 343732705, 84084362, 940463291, 279545175, 71029752, 489946163, 623944572, 187643603, 1059380834, 77728570, 187633893, 375664650, 439767045, 235567594, 40841213, 881894472, 819596067, 269805171, 971014127, 666367146, 916789663, 609156042, 961858433, 781622437, 780259871, 18833094, 276513372, 530081017, 242313637, 93826215, 489926145, 602363964, 712604044, 654554684, 1039317006, 534543314, 355639803, 1072907636, 1057192488, 979202338, 720172592, 755852854, 1004091283, 994228899, 841570367, 952386878, 887709939, 328089925, 381231329, 548103517, 792325690, 548014932, 87907376, 840016559, 155974802, 328540683, 246502871, 524549539, 971666747, 362213069, 863006268, 956008754, 335559594, 916620598, 613380613, 216534446, 54054647, 817242726, 644974183, 878305567, 182757750, 325255308, 1071763056, 692108515, 484822097, 606716588, 503840620, 374909709, 659637476, 670588656, 915814356, 731360309, 531411317, 729293202, 130758457, 610296811, 379788257, 176550885, 337309723, 2811623, 768627653, 105746038, 710666614, 33384067, 657096342, 914326839, 535193748, 546411098, 2872650, 558595569, 872698336, 87252286, 730026176, 890878216, 523628376, 654638480, 357090825, 298339419, 692034971, 1017511605, 660128032, 38269873, 352394387, 672591412, 495027360, 221438287, 57853395, 926103393, 571912086, 802646045, 651667987, 172667837, 908936308, 375353371, 783472546, 200445342, 549734795, 49945512, 890866324, 39654940, 602059897, 1019088140, 923179336, 875247797, 43209903, 217513643, 1069728113, 591537467, 509779610, 809818779, 530774884, 475348781, 4180002, 403016715, 794943553, 56441253, 101413248, 265737172, 914764448, 564250103, 940296447, 90407970, 436607364, 690435039, 375718365, 306288078, 697769733, 745003597, 584108398, 223188503, 458986414, 533695600, 558996296, 995701957, 102842069, 657282530, 926219604, 888582088, 241269102, 668691971, 377810845, 467900715, 864843229, 167457526, 668309323, 966822330, 727238935, 87846981, 79340304, 245291840, 874816238, 828253259, 603802096, 443046718, 16412912, 997354713, 508993350, 899168007, 99028889, 1060530497, 610574473, 2923276, 677089921, 85077132, 688518733, 274717947, 605732767, 661121352, 168230593, 455886817, 655408174, 554088117, 976459370, 558177387, 725714789, 411757559, 537826893, 803590069, 356790752, 403663093, 279239703, 571680235, 375266694, 704992712, 728434649, 221513059, 351592636, 681306780, 230539572, 637553183, 1033493760, 693829900, 63541182, 170676810, 628680539, 952411415, 801771937, 80092733, 174147435, 504441583, 1037661893, 868528991, 103023227, 898499399, 842538397, 890630446, 896773317, 776858109, 374531696, 829989757, 237131951, 53240464, 923659913, 55018074, 954431219, 520487435, 14423216, 283991976, 396227771, 789365347, 514551686, 730495230, 42838253, 12690263, 630010800, 375348708, 581138678, 977078896, 174133755, 145735830, 769455824, 282899953, 219587054, 1068887865, 29561029, 689391604, 59149860, 458399579, 1072640735, 406404079, 218083022, 1034251856, 246098891, 1023554129, 456820969, 358686761, 786581875, 323703148, 863662536, 968935437, 83175231, 387145306, 553900509, 393886200, 374143090, 315326019, 590864011, 258931400, 142324628, 257240126, 421317753, 897895187, 201589784, 889522410, 613059563, 733678654, 840413603, 941831202, 876691120, 306887864, 1001708890, 294017988, 1026784424, 479345361, 266804142, 595197624, 225273279, 993807493, 936474586, 662942081, 67023828, 395482576, 376889804, 803401096, 368013964, 143832667, 333156595, 805737964, 1022307009, 732113907, 495764152, 98859959, 635981744, 714711905, 352069900, 433846190, 567020843, 283080719, 236765015, 365174236, 372120069, 157797366, 739785271, 810765468, 816756670, 362327515, 261086930, 709919247, 807278434, 437644628, 468844619, 29177888, 337981487, 605356890, 853869981, 972459113, 305287483, 76065382, 537527980, 1062102398, 74018271, 466095269, 85345445, 250248644, 564669429, 130383253, 168845305, 393950990, 1014872067, 1060234587, 959531929, 359095581, 10526720, 930525004, 754352671, 425200363, 563268439, 946274250, 286510157, 965672337, 629020150, 877707458, 332655235, 102348740, 511549091, 512393483, 1025091011, 721049423, 611029180, 95158803, 1019602841, 409993387, 603245218, 258668553, 440559297, 673718542, 763885318, 549020028, 124765476, 467922359, 846431916, 683425974, 973653946, 833188783, 827147273, 374497995, 944252671, 125727069, 544908404, 240273960, 330838789, 716523453, 242427663, 952537093, 846931155, 385590472, 227205369, 429148590, 975406695, 348937512, 3206699, 854462991, 892988852, 945814166, 244867469, 857124873, 535103776, 230631150, 347925106, 250358729, 1021021278, 215344320, 360414178, 167531105, 843089130, 774550805, 288061162, 179097689, 377399291, 603533338, 194891831, 712760651, 925535617, 685840504, 737210116, 251149470, 759240313, 782921086, 440411179, 741419732, 757405130, 878181772, 81035611, 135775046, 314720069, 151439731, 402634993, 332424588, 1028064464, 881038012, 796096277, 67528252, 254511781, 693305119, 524887616, 324451898, 197462318, 806552007, 1007446943, 820991657, 958031788, 922703359, 892000382, 548233134, 520035350, 349470998, 994763952, 979077669, 576766623, 988666461, 168296516, 602425739, 978393067, 887439063, 1021176199, 59223838, 320294644, 869026500, 598028433, 923081571, 705253821, 873040919, 729578935, 981649655, 434649083, 403395693, 27762862, 98286942, 628624429, 223988542, 59624479, 663808689, 938780689, 169565489, 1054456534, 270893656, 1062390952, 829589400, 481961989, 756792334, 125181356, 1033778940, 108984570, 466701525, 304053490, 991428414, 553050110, 665214683, 1051437848, 175856871, 727463505, 673110753, 896467677, 859142662, 227622607, 285222033, 806646640, 536394096, 493614888, 846164599, 612112317, 185002990, 747211220, 147699579, 801159755, 698557442, 502255612, 977027914, 98856573, 177847528, 315905880, 1045991709, 1038173793, 556257532, 1008734745, 698569907, 435994846, 983929638, 706281710, 683424656, 258100148, 254078603, 1068500641, 914895192, 268359201, 795610261, 75405132, 642294427, 498021445, 309586091, 586998965, 555483740, 1072526724, 841315225, 196461951, 794534776, 25222080, 556000909, 931183273, 272543916, 386617407, 951840691, 611677936, 325780843, 627484286, 741954620, 1019287815, 22883785, 166851862, 311775901, 886159229, 56281452, 384040914, 979296505, 269262353, 634377933, 632049099, 882567818, 580206864, 1073234846, 509587318, 561827358, 393014020, 850001596, 84926429, 524211720, 435104261, 11212545, 290545756, 1016991419, 367485927, 613617138, 936341608, 9577172, 505127848, 813530748, 867419591, 91882284, 520975397, 645915725, 874394087, 739307900, 519117191, 388707470, 479465768, 145094191, 831228198, 509622480, 651541173, 389683921, 934523386, 236426472, 64530996, 779121332, 245006259, 497665178, 54303424, 573154223, 37823513, 1022281725, 1026903148, 701909730, 687524373, 928015895, 359498604, 796631812, 634926732, 122099372, 930810034, 588824269, 971731994, 280810950, 467833715, 359251072, 843345816, 713093645, 587464968, 499668986, 256163248, 472379202, 944258693, 597274035, 928186832, 609304457, 799068544, 1013964935, 930548716, 633593049, 750802582, 115853600, 85342760, 876937435, 506423596, 16388359, 1067229007, 680610506, 429427652, 380356429, 476185795, 645444774, 621409331, 943784053, 144477484, 128085548, 225794098, 839724491, 861212237, 230527398, 655475241, 828583852, 820217556, 963799957, 1035930855, 159972101, 711358934, 176685227, 1051702591, 604991145, 1009104584, 15372920, 368024355, 675173482, 756866177, 1008799025, 945294682, 912499199, 126540065, 443775690, 286524779, 75612825, 104707979, 320526562, 619407558, 668944913, 891736539, 767794172, 112515152, 787755632, 88973281, 971886330, 1004183966, 572471787, 1035923474, 47164190, 426502478, 847052150, 7207601, 833737935, 631579882, 468963824, 234949677, 957172217, 800217554, 531337379, 382577739, 374401114, 1061226617, 21223086, 694135828, 69170701, 967878968, 785286975, 440715872, 682546818, 113407316, 281476217, 207248754, 600474179, 380395154, 150088401, 57599330, 1063315498, 203277951, 756967548, 570492438, 518661682, 408476618, 1017691842, 727003616, 871004761, 168953366, 1062261620, 637873032, 807823510, 412921040, 507887538, 62961913, 216611171, 1061067688, 186603340, 841284440, 845064926, 596955837, 200110806, 434026922, 918702432, 588579059, 90331612, 85240569, 56434517, 703759457, 1020224362, 856898507, 261675966, 722137325, 545751684, 688330200, 810373020, 770961377, 276007899, 555587899, 661625520, 533828519, 145105188, 247575458, 925972007, 651190978, 875363833, 537550751, 546446876, 95603200, 439598785, 343034282, 44489628, 50809270, 280422941, 478529076, 292771369, 63425127, 30649056, 403210968, 613803164, 438002594, 147409944, 717770473, 912521536, 433020603, 184085586, 665602145, 264842273, 133314606, 828214630, 684309184, 1059607899, 314610009, 304021034, 208013288, 334114713, 327356557, 490243600, 799457267, 871219170, 1023700312, 169100018, 926439891, 473953213, 1010117400, 385722827, 627107400, 585556603, 423398830, 815026470, 64559171, 370655726, 996416964, 868534939, 870225786, 332644459, 589439005, 9858739, 1022051621, 851666454, 34308273, 828243640, 368611364, 139031814, 533191033, 613145043, 193121858, 928095542, 683927721, 844686288, 1029202033, 501431560, 427257348, 958071492, 1004519107, 295009301, 932493688, 835869163, 53035080, 113072677, 120903139, 255820374, 526345735, 564005134, 486932018, 413513723, 820217192, 957084009, 312421180, 449183812, 21383223, 414868066, 66416708, 1068424404, 868432019, 39051116, 97092166, 749325912, 593306835, 1031421380, 925839928, 90216497, 232777595, 503273234, 262002107, 164798603, 653074104, 891429362, 688587384, 63621793, 848159332, 434761368, 61731968, 260525659, 343952809, 944039089, 802096469, 680588212, 86706896, 875908768, 212487136, 514338599, 363222060, 752341653, 1020917242, 530623421, 289579697, 610048764, 927383915, 200269916, 663907914, 1010392746, 850040914, 967482805, 605052860, 849522425, 3369753, 1038421463, 360254872, 812710214, 680251683, 768639467, 41370398, 392631691, 637336767, 943973381, 1065964855, 815439795, 1068095686, 16661938, 330865705, 260114151, 180975084, 915114246, 941416472, 129661529, 706820183, 973739520, 548924196, 954874226, 313915312, 847966089, 497227874, 741811951, 343537187, 509101252, 146228900, 976092635, 13014324, 1003939322, 325298369, 981903701, 758129721, 15293187, 383090941, 930658243, 234258295, 145226475, 842869039, 219493832, 103917885, 832670521, 872982932, 15018389, 624750666, 360292938, 872370261, 399648636, 322753303, 1022357325, 1022542914, 291857142, 342722019, 299702027, 106010536, 935172248, 331079826, 492347779, 40040345, 716936252, 640227952, 96627353, 256340765, 6583701, 369542674, 357243654, 915773087, 653824993, 177844124, 812945361, 1062614504, 327192472, 532296045, 796163127, 984009433, 462941662, 483845392, 329563239, 1034253337, 386051247, 797339518, 673354364, 770311302, 544581649, 954788612, 219453043, 1017619149, 195787896, 74645327, 599007109, 832000000, 701277365, 720042510, 606547266, 377030032, 16755932, 72026919, 9303448, 350957623, 973856425, 503013227, 409521789, 836815377, 232112763, 165686932, 652400655, 710062818, 785084769, 1018762161, 503615712, 29410896, 29192607, 145932995, 456579240, 527392341, 777741972, 819128501, 364070127, 130908506, 19278434, 889155101, 467089997, 617291867, 1057671884, 439783345, 540438434, 281073574, 322287457, 750958122, 247148841, 457015487, 609915904, 492190795, 695996655, 624506967, 581248866, 854568264, 819206024, 844098838, 1047938861, 363271068, 461102373, 70900836, 581840673, 911805574, 910906639, 299453703, 82371831, 981682700, 248110392, 105627306, 708925763, 333452172, 173442905, 654519770, 788006893, 1040131312, 412335113, 831258209, 539045104, 163677597, 934496179, 596832918, 969907612, 560044426, 572848680, 73773830, 524665660, 347928877, 152099897, 331489582, 218245657, 288365074, 41248905, 961633218, 555567603, 36370320, 771909919, 549702199, 8042846, 978579782, 438996115, 176555715, 398617329, 594263922, 872744826, 43557576, 43291369, 656330404, 328212183, 32150193, 309946642, 220857866, 627552202, 679231973, 425805582, 965659905, 128266146, 520101242, 740594883, 967061798, 706179244, 278641603, 50713522, 981014926, 301732277, 347947197, 721560210, 1072548536, 597820071, 100385601, 336423164, 201790812, 292221305, 497225673, 110787670, 755828125, 124292890, 114107343, 453988037, 441203935, 905104721, 803168384, 855918595, 758450537, 873724572, 1009062269, 76354122, 195006151, 745531213, 341763206, 396967577, 258086725, 118627074, 691088136, 769680672, 21491446, 498216551, 265050633, 976514677, 398301600, 281194227, 346337597, 706886325, 653840029, 748805705, 502101388, 118136298, 286663238, 548367438, 438601149, 793330242, 276286108, 604719828, 669736542, 355985996, 29195739, 721608436, 860297611, 1032646050, 623609778, 421897919, 514341384, 236720384, 310016823, 128144955, 18482833, 703970681, 894187472, 161121192, 765418507, 117883884, 823471940, 202838302, 309575755, 626043437, 141718126, 447964041, 1028556392, 963332586, 1028874138, 71781938, 176385246, 501730833, 661658911, 1026681709, 81532382, 954136905, 286716190, 442286008, 12197831, 415180673, 693480425, 969725912, 477885478, 757409474, 199148741, 158788301, 411022427, 716993056, 344371341, 59234952, 660688678, 329479866, 982624266, 345499664, 12867413, 299505616, 996125216, 131950354, 1029775496, 998840076, 873292051, 108414201, 283468662, 286157811, 670979922, 391521294, 337063658, 905539177, 357706027, 185831883, 58052829, 699331433, 848906595, 82033905, 593976714, 563170395, 101763244, 596209495, 714888342, 218370191, 953753245, 337250766, 114793899, 566155093, 268284563, 671043348, 548659888, 165523993, 722271189, 52106939, 4898361, 715710400, 555455892, 106009415, 616684292, 601209512, 602423879, 387072662, 554447903, 733623209, 339832427, 755579497, 7345601, 931949544, 29784797, 826733170, 761608838, 422968713, 703187983, 761533632, 417369316, 103574634, 339241956, 382887687, 657533676, 702011657, 503111745, 2125766, 378659568, 34072915, 399008963, 1043466587, 139936360, 1021358374, 648866186, 171369905, 1069061234, 242429923, 440743715, 214098964, 179411401, 781194630, 833057835, 1019305934, 547594712, 793853754, 869727780, 370275391, 1047565129, 111157241, 741378823, 476022804, 954865291, 839015999, 358671311, 304245710, 1042120719, 841150719, 34321130, 687540323, 126680818, 159752121, 421357208, 301937677, 249928701, 930252301, 798104201, 78342294, 177315265, 169325205, 1037450754, 33904909, 413177201, 422366573, 90056507, 759204045, 468310517, 376509544, 101570307, 502271036, 1001692051, 927650210, 20741710, 904687118, 410919834, 470758757, 699695386, 582425943, 56265453, 710254277, 25354295, 861847931, 367523691, 501783007, 113130396, 73361070, 580689396, 867984287, 755267864, 644345949, 170867188, 452608095, 486776122, 865325289, 104896217, 354839285, 893744036, 452823931, 11036383, 261684034, 126811942, 456142763, 970306494, 708099723, 162739184, 841326082, 337896125, 130379407, 828629596, 1025146097, 295443731, 879422288, 768831447, 568082484, 137794596, 663180508, 770999614, 285871589, 955280645, 228826134, 50153427, 544849042, 511409291, 983149636, 151067935, 1058784902, 636057215, 914630164, 679817771, 975208724, 158296135, 72082424, 101389322, 5351682, 321965218, 852940965, 141399174, 668616097, 188611795, 236498868, 878867521, 909448356, 765055331, 313626042, 283190415, 362714204, 11117471, 495325409, 347501324, 377669184, 633523355, 77103577, 1014956277, 360470297, 470070573, 226390450, 869753714, 692176633, 518881223, 410982755, 408791051, 22934735, 70734939, 297230394, 820743748, 323034894, 801981477, 196806828, 75028273, 982167116, 1019699882, 215860824, 520050966, 912572720, 32429843, 970435984, 827435284, 779466976, 153961969, 1042417436, 225836788, 408596912, 518995720, 942494410, 315987650, 667231128, 559096497, 941917643, 564220061, 275751855, 646215818, 44329995, 469695341, 144317957, 883128891, 1071111786, 1040835818, 555776053, 153761942, 406765744, 816832944, 461876264, 2556698, 1028342197, 105347956, 28043035, 1012547327, 379481915, 918505136, 559893939, 1035954367, 414927387, 780141312, 971076503, 791968032, 333083861, 108309347, 442497822, 890491264, 697993858, 575995092, 531035917, 324194247, 122097995, 671978585, 974816191, 505487277, 1066902054, 393355909, 973769891, 818700867, 326997301, 726428769, 558021374, 350029093, 492684820, 337510973, 600574641, 696648929, 459569056, 62564544, 431034866, 1039328215, 768860351, 704421421, 299117342, 597961416, 393074926, 157695907, 45599299, 978597925, 223336463, 559473329, 170839235, 320628380, 1012509907, 900210735, 616900847, 814050696, 747283483, 539052105, 346154328, 212757599, 429341772, 704311084, 461313063, 676842697, 31121903, 577492969, 593730673, 1062746704, 46302456, 309035391, 908926124, 673303, 669505523, 459976436, 23714588, 639723047, 94899351, 662782752, 928414986, 454649957, 441233728, 1024787380, 592515384, 504342774, 425203816, 300796699, 355557001, 67745150, 1072143086, 28873497, 773775745, 680641306, 6987749, 776909616, 819192703, 80033124, 1065222877, 541906014, 364603665, 526095797, 575551843, 617294402, 915484862, 331930257, 200714693, 643054013, 20608903, 898644587, 347038872, 474666744, 634511535, 62913344, 992671731, 739518768, 258893976, 961434164, 953216334, 135783516, 888694464, 29858826, 951617362, 846736634, 172802038, 249022769, 587432215, 536386725, 160589300, 534695360, 405706516, 59367260, 434858819, 175046387, 934167479, 103597593, 404198256, 571885907, 737844846, 826260589, 1017445711, 84479922, 480845036, 835027494, 631202737, 870652920, 948321989, 281131825, 908263678, 282305754, 804134622, 189877688, 268065316, 518228044, 344537945, 976575486, 151656671, 767860943, 906572954, 521258408, 749798186, 424995873, 272648753, 86160539, 879219022, 62126960, 512036442, 118518882, 403782950, 687813589, 156604672, 15465354, 786491647, 998411562, 1024105372, 810691259, 327471545, 235727438, 37217870, 743579837, 451091168, 315808867, 654036394, 259888530, 682974611, 386638283, 690482842, 528098089, 143120008, 956981724, 663437753, 573094350, 1031552205, 388228789, 140526787, 737564297, 182875104, 640641329, 963017398, 572656694, 917050090, 602491162, 223145233, 438230006, 612465388, 1017139465, 226373216, 661794672, 133358077, 164783777, 501742182, 930951198, 123226390, 433032039, 1024684535, 295152710, 39609008, 769859910, 690568400, 833338910, 821533768, 259614790, 885283439, 731653174, 489632335, 820965385, 1005816615, 563314616, 360780786, 752719159, 488455473, 823764713, 1016038392, 894560054, 606686731, 670600564, 1056694594, 853902719, 1037986066, 915046540, 22830911, 334919489, 652838384, 542719838, 953976095, 971281971, 348706895, 771790529, 324523301, 497830514, 677335792, 850002800, 178121519, 542180408, 346178149, 910771807, 483882965, 425455006, 955063462, 1021040395, 795287378, 122852409, 1015047156, 170763796, 1018538558, 471862411, 929565925, 135631999, 662415228, 849049642, 970694264, 675139897, 585533408, 709106885, 948824826, 385715338, 973120693, 158449883, 1070719645, 982471530, 910105976, 863332407, 325212721, 788408308, 576532362, 381314375, 150266199, 327417693, 264373773, 713666427, 888714315, 837085839, 573664597, 877514399, 713675244, 575320350, 634595662, 815718512, 487511720, 1040065357, 311683593, 406340823, 104470469, 1020937562, 401842134, 267897409, 669805210, 739578420, 795964846, 112082768, 786462678, 905656693, 106178546, 30935865, 618329660, 930058220, 619364155, 230067089, 981379029, 656947680, 1050541880, 559049976, 610078151, 14619389, 630149041, 630091780, 870221795, 206211327, 849391280, 1015445202, 488477545, 876024405, 204413279, 938888036, 820253875, 350037678, 340766668, 383733529, 870526638, 802554856, 804073867, 49414601, 587887664, 395445149, 151991290, 853656146, 1071305600, 113318219, 386440480, 324183764, 40704931, 110115568, 986140998, 39129464, 806857137, 450902670, 302444188, 18822944, 750480688, 66517782, 589204874, 506333803, 496358109, 535881154, 234757857, 469814633, 374693676, 607888402, 566134130, 675746924, 960786217, 918985875, 893614476, 646136185, 80454785, 478957639, 296078279, 720966626, 914397993, 46787070, 218519926, 621926872, 662618574, 954867410, 125026369, 97607285, 220986960, 140965110, 156860719, 476707934, 707692287, 526935623, 524102104, 460666522, 473329717, 448503099, 138302629, 852558422, 87939031, 793550304, 516644650, 589952734, 1064245655, 961652616, 812704852, 745082304, 1033226661, 687795315, 360844935, 228028719, 392126717, 493613659, 476890295, 810939116, 622520259, 823859202, 738737868, 827746751, 367580465, 292166854, 1022164729, 462246008, 702342116, 932832078, 299450967, 336273229, 909456404, 782379408, 332738944, 550679393, 155605175, 959379484, 238146711, 359866276, 662865050, 322558099, 714864253, 855145546, 79306089, 588139395, 857390700, 983917686, 451511446, 915611990, 363386999, 239298935, 778754031, 648572911, 771357315, 241930588, 127719955, 1063728267, 7486189, 751321811, 558414274, 886685639, 478354867, 1009838486, 1039066098, 895487058, 35115808, 726327110, 796043034, 606197307, 211200830, 492463801, 662817506, 560184437, 789980409, 603838657, 432734129, 726081001, 947212882, 706108906, 107183653, 84144556, 664344290, 300080885, 1053351988, 156815239, 585948864, 984739822, 138548749, 101209673, 670237783, 575878015, 106382955, 1047712906, 841126618, 446864871, 490635295, 681184205, 1013605220, 801750072, 4908866, 744559138, 670942449, 563124690, 640706259, 616409979, 250615680, 425004158, 591954761, 967570379, 135178056, 1010898289, 1020613120, 950953877, 930575067, 528491274, 712941274, 464382775, 201416490, 76543772, 419343381, 282257313, 186603786, 929025948, 741742574, 1721900, 508928585, 725892952, 958354088, 345577265, 730839920, 550666328, 112263389, 573678216, 197583573, 166075011, 448828088, 600987294, 768016490, 227350307, 323268992, 226534154, 457454216, 519445503, 672862093, 521396701, 981832189, 370666212, 996247097, 794996189, 203779138, 450069014, 522750364, 984487328, 792568144, 273084959, 752120573, 146825119, 367870115, 210834858, 1004839130, 347880810, 764539029, 839417110, 542311882, 583527822, 802126325, 61656445, 322125938, 896573608, 327977295, 592317522, 266238286, 822096106, 460174300, 701688420, 421402716, 777011189, 497234107, 1032262347, 993349316, 310071741, 613986645, 678097357, 99541278, 130743390, 276236716, 707224664, 392377735, 1043135741, 787591061, 163822967, 46886442, 798469990, 870269197, 34065908, 447798374, 79139496, 89456791, 921133874, 123070659, 61311311, 258289432, 299291020, 234558621, 412621347, 1033526713, 55858559, 693143662, 657547313, 682256765, 816318149, 478743624, 735345413, 754391849, 366557459, 586543713, 98125627, 710739652, 1009916116, 936658937, 192891452, 25262552, 16560633, 425997957, 615756032, 904723267, 268633556, 748990423, 624255730, 898486872, 654720400, 905327144, 265744134, 974347728, 789804901, 13344568, 340723123, 417873429, 501921680, 727494905, 1037835214, 636439531, 562792797, 863037849, 844009330, 991886370, 900585836, 565679332, 1004488786, 549363169, 201643177, 237807755, 157908835, 132256978, 833913350, 252636010, 1009368807, 257226980, 906634891, 440850029, 996597710, 428891158, 637026846, 66177980, 187905785, 750470952, 154115113, 696818452, 619013898, 436815361, 90099627, 1021983048, 29343050, 461597463, 707548460, 810576619, 685334201, 804978670, 978817964, 986741369, 308916143, 392762556, 1007613248, 496272033, 505267320, 884107141, 276465399, 945520128, 176705054, 60727116, 197617852, 118279854, 384889912, 69393957, 707634858, 230746326, 187634798, 743393110, 393810004, 484561369, 763874200, 237080215, 608537227, 636078702, 459863933, 664170792, 657773408, 106524938, 621820201, 601739393, 972882651, 253935615, 751488832, 577087158, 613831036, 895432270, 716926173, 695103459, 272961375, 945767478, 409023345, 811800015, 229474288, 693409565, 150408806, 706414844, 1045532310, 725034210, 501009799, 171198859, 966586544, 57448209, 166933648, 411863685, 405932753, 130638823, 1069529085, 557614815, 766560762, 718597869, 361684576, 161669365, 444110187, 865980953, 863482376, 763040963, 818660518, 387183895, 520989845, 446490712, 285978053, 147641156, 107067517, 817304979, 197926191, 151929870, 851434537, 190103123, 592380975, 19447748, 676545194, 877252972, 5047709, 507482115, 927428758, 999340822, 607986450, 178232498, 931467746, 650943783, 559874160, 981800639, 709302515, 432759954, 1032061990, 162565954, 680300029, 680995936, 448329726, 328076849, 380735099, 776571446, 1025338120, 674673965, 313000159, 771562552, 679884904, 867178872, 417028991, 769737822, 676115890, 744241268, 403486545, 386742614, 345658948, 920810607, 393473534, 868116770, 721897822, 220602611, 502693048, 990280339, 576316169, 600918275, 854832356, 46676231, 209382374, 302419223, 786534413, 968808935, 118116160, 494754829, 704767385, 112416500, 126430875, 979840860, 848283967, 757858222, 790280443, 456885299, 343228877, 791507619, 511613232, 809111846, 36162918, 194996189, 585865961, 12990542, 150084121, 427448684, 77958891, 910856425, 491951728, 1054271643, 291018579, 487012964, 767328295, 608348601, 624901557, 482039540, 350065694, 997143181, 90863924, 529489012, 1013307358, 733821667, 200653832, 223770742, 1067436062, 988733945, 1049191370, 996775185, 306213894, 766071072, 1036645548, 327304625, 915715522, 295694118, 284343440, 860674051, 172112009, 277066318, 339861498, 627355191, 446498069, 979158003, 808079929, 755124840, 609747969, 921590025, 505399735, 469295309, 632271865, 507298357, 376533293, 98375333, 777901385, 919467654, 70946790, 1030572943, 288093111, 465507752, 1037705060, 823979082, 501591233, 483143205, 646164179, 388146399, 436711986, 557233925, 1039439527, 832247603, 363221717, 117266843, 280278792, 24456073, 403997259, 782061531, 535430980, 896286207, 862126965, 446529270, 40394043, 746634932, 88278530, 515605637, 543838940, 917191486, 214165632, 348274253, 816938344, 74698789, 74594768, 918314852, 209669604, 740353688, 452207581, 628390482, 868304201, 80134981, 808879441, 153853293, 919448707, 589564123, 712925484, 831710760, 1065261824, 271584920, 387139167, 213860842, 7850059, 1062885590, 695644767, 797529291, 548153842, 601225133, 1063742655, 436871115, 1045292427, 432632670, 685728498, 834125670, 814654963, 138083526, 1072947327, 88307395, 838255466, 159344446, 843264733, 160468786, 540901147, 996504564, 272309718, 390748860, 276736041, 12508377, 729688461, 119930949, 357810764, 591146016, 719511598, 677022080, 478332465, 943514633, 193095115, 635622541, 164043302, 987788704, 236996389, 855388106, 878364031, 1028264055, 877768988, 43928097, 441517434, 592460080, 472127005, 1033200033, 887034956, 880432073, 1003109907, 1054393122, 664325321, 838448211, 789875064, 290795943, 892341812, 405850046, 224282940, 309893806, 432206703, 458862246, 734678013, 374908134, 811410622, 249573978, 64265522, 41179063, 109224715, 318936743, 510577517, 931076917, 172629452, 742447551, 1053390675, 89001296, 905267984, 632996084, 786475063, 822698092, 734492906, 80155357, 905830301, 267356223, 902843964, 132102763, 1064093711, 579274399, 323892418, 617004226, 46316618, 795466555, 18588309, 475320871, 86672824, 639174314, 752944378, 353392713, 143652988, 1063019650, 867861413, 73041315, 314508223, 272829660, 388351117, 209086563, 401952131, 990108431, 7504577, 257547141, 747951778, 544965446, 98551800, 513258287, 613823812, 120001524, 741749088, 482103991, 272673477, 738534571, 692050585, 583497878, 515070833, 79063895, 23279453, 715928386, 702689363, 205792466, 690808939, 526371079, 96953519, 191478853, 886338887, 764665553, 550411261, 538154069, 288816665, 623369250, 355096571, 754770343, 972230457, 767232225, 1053764346, 761351686, 50790773, 162056116, 858211213, 792533549, 412978946, 623048847, 108709016, 328709080, 176051524, 525848058, 423359679, 860328772, 514805795, 484754047, 1057234653, 654763442, 291977859, 882457930, 459129301, 366483620, 1008393847, 766359178, 261360102, 30648614, 1008322587, 666863988, 664560518, 621632896, 511310219, 1008414787, 539865288, 233916103, 895186632, 471521112, 115295575, 479880443, 725274198, 960471061, 516402594, 578498277, 530469546, 780222133, 1019124883, 209961334, 856545411, 181348422, 694081415, 715115289, 1031956793, 183663400, 1027294834, 688655077, 449887660, 1001524190, 905614134, 282901593, 885291355, 1070158854, 494927487, 155199365, 1061078540, 260532801, 484894485, 506852050, 397396709, 142673680, 383264978, 1039729469, 760965508, 496617751, 905449211, 794091468, 639418451, 806293170, 129056641, 873687051, 228506786, 392328415, 431285312, 130215897, 481433240, 114356416, 639525888, 1035802583, 123226175, 801438925, 370856639, 879142121, 489963669, 648685550, 265617883, 320689950, 419031147, 295536103, 271795270, 6298753, 4634453, 934881631, 286269505, 464240846, 192704372, 500013295, 61757750, 334892718, 159688605, 917132744, 652166315, 382753672, 597500909, 813723185, 828961884, 983737067, 883140703, 837461155, 630138756, 10399121, 609279947, 894511506, 910353469, 524239316, 441675206, 1025927232, 1013442694, 770008311, 363054756, 986964801, 940303271, 225355282, 870243883, 359659559, 657980387, 757561108, 785517905, 433292041, 278898244, 368126281, 828768597, 530344509, 647706837, 861045906, 760290974, 717332779, 928146095, 776264983, 1068318992, 389234236, 109697080, 887826513, 5171126, 727352197, 678615377, 921348161, 1010832207, 199799791, 607540468, 761157620, 308780769, 208215080, 404074637, 263166859, 140140229, 99648753, 1052844543, 775103543, 457840155, 606170780, 833256411, 887206963, 498772820, 598689840, 279285433, 237079246, 800912205, 336193180, 372646738, 474744192, 646714716, 1047825894, 276913513, 994303925, 522029534, 839130294, 1067580398, 679607211, 548648313, 78943230, 737204811, 581768171, 1058947865, 638347612, 299983794, 183391395, 772042071, 983353143, 1058204244, 60974397, 904393299, 63195649, 223212789, 859073285, 766941102, 916225247, 54666028, 295881744, 403160144, 258931801, 375742535, 459661149, 521360908, 1021893840, 407522237, 1057919114, 932267595, 876521071, 939425768, 1005085677, 1006574679, 46055940, 630241590, 971109636, 220960334, 517417155, 252440936, 353728500, 4571690, 868142910, 203005070, 790902901, 134080464, 256242442, 57161287, 1022918588, 189097651, 402365549, 687969138, 791184065, 167641168, 23256173, 1038349258, 275152048, 203703533, 699366249, 928216992, 23482684, 571875277, 132685468, 176265472, 659342923, 1036108685, 833329202, 308958237, 614888933, 552789165, 558133136, 273419229, 547050271, 684527182, 802887057, 941026516, 57243001, 62695762, 779142059, 976532520, 59250825, 80388966, 474648621, 576216174, 163181883, 766496793, 366655486, 307483189, 923461022, 505758364, 471633504, 343944931, 527948753, 894397749, 533310999, 1042659625, 1034470680, 899811579, 11097800, 208883604, 781928076, 907762261, 911212082, 1022410034, 7446641, 842116254, 740156375, 8060832, 1050073935, 541204730, 602991477, 667006677, 118584809, 258918156, 914285395, 158588398, 957547541, 507617923, 610537124, 186238733, 435351142, 743516325, 326080566, 474834159, 468539003, 85872501, 1022152409, 381159623, 704282418, 3468801, 528647076, 333414789, 352550832, 186846731, 90536131, 418157380, 228281637, 576660506, 387614403, 117069247, 1068809979, 155301218, 379317714, 394854748, 246345183, 573965172, 467797143, 687343157, 1029830892, 245031576, 773661823, 248526742, 204281942, 703657765, 216634567, 48218509, 753530473, 774087954, 751729098, 510428963, 308268586, 422052367, 598629526, 499140844, 164983429, 480507651, 820382151, 859852626, 297293687, 754706189, 41533741, 222181618, 125721978, 35504332, 555005918, 243218510, 249583230, 36164326, 367997786, 186466498, 402010719, 512918952, 346020849, 487057808, 325896854, 821847728, 1000674745, 473999000, 152591064, 740618908, 887846639, 416290611, 401649009, 372925466, 163479654, 1023671155, 737495075, 1053263722, 246376005, 140448516, 436990207, 811996323, 587446929, 1990008, 594844024, 416842526, 1058953258, 642241192, 147378349, 378529934, 898144698, 632229021, 946035994, 9519469, 686550055, 531637559, 376816291, 258987915, 482889901, 162123633, 553776294, 1053205186, 89133751, 40308365, 988783279, 769148502, 351504928, 911314852, 889302896, 55317511, 382808320, 72323899, 268774852, 440050719, 1023812279, 508929241, 49043953, 797207845, 375163688, 642034986, 535500449, 1038133692, 306431366, 270907395, 363126376, 619893281, 459517036, 942132656, 819574546, 964238574, 155763565, 375493166, 489144684, 117296029, 702950366, 60846331, 415567254, 1016793050, 161056480, 399900683, 469768578, 731728738, 293887892, 472593515, 118687622, 709626146, 731716347, 107462931, 317184333, 133733138, 888161705, 1063955464, 225130430, 279282937, 458901011, 609869690, 445098685, 751811163, 33817852, 481744280, 124040091, 433130356, 516743615, 28972670, 688565749, 406183048, 18682584, 505473207, 65826526, 1031090111, 658701813, 1027060042, 320784880, 100305144, 119927809, 774460477, 683773434, 820762120, 447364236, 85607457, 314344949, 342022945, 256394866, 1044243253, 613183026, 1042465673, 121104622, 425245399, 303068470, 411788072, 59002988, 613844889, 51658640, 434442351, 184471558, 149800375, 779395125, 685232189, 64707164, 303050954, 174726766, 247938570, 112060974, 899461680, 914791597, 568103388, 311149238, 762248997, 1042584707, 492138471, 529552395, 556322113, 951651126, 343244099, 87837348, 97157287, 702383725, 722362068, 524524784, 848658392, 806306751, 561078197, 410322112, 231152983, 11417478, 416974025, 480213613, 150489349, 772736282, 893096274, 503738008, 239746261, 271608087, 377104888, 877968743, 61729860, 867842632, 772111059, 983141822, 288525779, 848196576, 197372113, 186761648, 338339624, 942287615, 672926115, 987526501, 623603180, 105049638, 878301398, 886783067, 296284132, 212122475, 278663437, 875043838, 314404741, 750899857, 955455174, 357558939, 251880908, 529091295, 294292933, 471433868, 121040628, 576132299, 70440118, 450882804, 584712110, 463086761, 864717654, 742626793, 708387348, 406528310, 376774275, 1014730920, 707189546, 790297098, 1072768294, 946108315, 371676859, 143302466, 861813617, 680937547, 977984570, 925468826, 713982746, 90368996, 817499032, 45803900, 341407315, 316638393, 829015456, 554823612, 733721537, 532863231, 291120829, 26026286, 160238766, 714388637, 716686609, 130918711, 1024180508, 225394111, 439429632, 281336442, 1018926402, 1054067815, 807144843, 588485653, 957479116, 491691522, 288386647, 976225814, 443832886, 309571898, 732327338, 987206032, 193162903, 626962610, 573825036, 416332319, 298170211, 840045410, 557466047, 267194663, 1055995646, 561217983, 489381444, 962954279, 500325137, 292934756, 201724097, 806252413, 180391432, 856203575, 840515682, 681766501, 500099150, 891242316, 966709823, 414411493, 1017485256, 393438065, 864887641, 31403132, 816498806, 342757489, 255297437, 53656141, 178090639, 713223749, 460874639, 370109958, 176897795, 705590450, 917099464, 402149809, 793017591, 830091043, 930536297, 513155499, 192962623, 591835805, 341044961, 695187986, 939184320, 616853214, 807445453, 289018449, 737796353, 743602976, 438426015, 814079984, 985298776, 708445262, 250244141, 397496447, 912822669, 890944132, 306478435, 31731115, 356598337, 669715790, 580156694, 635918723, 346056956, 565079790, 508665237, 954209311, 206173094, 1023826391, 715177426, 824799907, 69781031, 779909576, 430748359, 639325997, 155075594, 1043924369, 4644670, 364770758, 94329919, 362739286, 520090144, 760639182, 540176996, 969483271, 480058715, 538985933, 426111175, 1062908303, 733498856, 88989079, 604641864, 76036992, 51474524, 150785704, 494937525, 463528537, 891815066, 668499602, 697620333, 314244419, 813151288, 999214371, 772361100, 301523608, 361955735, 331872523, 754861189, 388249387, 969015863, 1038157395, 21985184, 182338283, 776545770, 1028459863, 342839214, 9078109, 524329137, 631854056, 550598252, 113475066, 22068411, 465784136, 153382808, 645036688, 877307126, 926837683, 48074558, 620392464, 639495621, 277712325, 965394453, 71400690, 132791295, 508401018, 126014141, 444939170, 832644688, 1059655894, 389741294, 941013237, 131402999, 1047576150, 1000093739, 42570128, 727103892, 728213706, 984468117, 786279827, 135823022, 1039565781, 675162612, 934124776, 120896825, 436122834, 134120276, 544703912, 52831709, 968403533, 241894189, 680196457, 865265542, 930528279, 771965365, 641973185, 909016602, 817140312, 123986184, 900698074, 90122095, 361411748, 80538949, 946757322, 610922916, 391170142, 880301106, 278226293, 437521739, 415503033, 187609044, 460163952, 555726855, 871187936, 176227990, 1060185416, 118014703, 507432500, 382450836, 7471429, 144568573, 471248777, 650833512, 884691771, 256157146, 833787785, 420622195, 96853955, 263208333, 842884652, 960297052, 697310193, 6252403, 1000026673, 385889392, 74176605, 797954628, 748482435, 1066467579, 662535446, 216363938, 361500436, 482555540, 100122314, 490037797, 156328986, 102582619, 111439, 1057158153, 449813446, 712544686, 532315208, 240254807, 735611695, 155743896, 19827070, 631739725, 816033574, 326725241, 166424740, 920226149, 177718405, 439387622, 373019109, 1044480592, 915841951, 845813479, 84324316, 989167241, 414784063, 472559777, 1060506175, 566679918, 1032957753, 939282906, 310727655, 859753352, 959075970, 128621701, 916708337, 292618542, 290482205, 109746113, 341756957, 618603282, 438807309, 490369941, 624255673, 556873667, 676179339, 317219910, 255686514, 1002208678, 564053833, 916646325, 514280790, 99452351, 599768475, 1073139063, 597869069, 1034955574, 491739101, 447009372, 340672810, 300715868, 120457593, 812143437, 254166816, 963675164, 754228643, 225148093, 634372105, 965097797, 293771705, 645513186, 80216890, 703767122, 748321057, 211439475, 67329518, 666724685, 96471855, 330153296, 217959604, 63992873, 36116176, 266551809, 1065274561, 809110076, 580971989, 933949184, 264149371, 32877688, 566784100, 601177661, 734072944, 934323147, 705515306, 1050031576, 375620987, 406921696, 79726619, 425258299, 890285768, 644053856, 844350186, 828597959, 872871895, 87922107, 388901246, 358742451, 165464778, 225722708, 196248673, 417423190, 546935267, 308711260, 282309272, 241178229, 628469828, 141878924, 636685914, 309078920, 270486094, 60379615, 371711379, 545207379, 443080745, 1452669, 858553769, 519106148, 764621134, 1010996595, 947349162, 243213531, 177484304, 454220870, 282534712, 235181306, 796263, 1043914924, 123220826, 448117315, 116545008, 703166770, 620389688, 238674790, 148309174, 63203492, 99337081, 497537788, 716798686, 283000377, 40444342, 1012208934, 334140749, 87680602, 611518218, 529423782, 624788505, 956958355, 777488650, 457121101, 1018428181, 295083500, 306296095, 577856496, 226470407, 362223136, 779797639, 864829485, 1029428835, 299412755, 473455336, 238373045, 442211696, 236000600, 899298793, 421173762, 406490485, 314404166, 97132407, 510485709, 872329087, 87198612, 281519397, 643186649, 237269132, 384505171, 536051089, 323837120, 793056831, 1057250735, 761734658, 491901982, 110151672, 827052766, 743485812, 829024585, 427660980, 722427554, 944898719, 110786593, 395628785, 551437395, 782892944, 145853241, 302777491, 459715365, 777504364, 721921729, 51729788, 221094032, 179791467, 110812056, 485542194, 775108145, 222872553, 45224742, 835029461, 805489428, 569405083, 609188558, 770819573, 146626707, 598603228, 188795961, 26809670, 329116119, 427674842, 13540707, 588352132, 301308251, 55399283, 1040961896, 829071363, 26416501, 149846674, 734103076, 442084668, 316796636, 383754641, 613033660, 623232328, 402420456, 481958815, 411527836, 498288044, 302836768, 759499385, 122529668, 790619155, 424275655, 539108002, 28355995, 1014694971, 404439232, 974951286, 517866677, 324179123, 894034908, 336341825, 484020736, 494240810, 646916961, 858053343, 859938428, 79361731, 956766251, 249302483, 344325919, 331989736, 235796874, 903427661, 916237238, 892085222, 1031848855, 741539985, 1024952392, 259465120, 444212566, 343351902, 1045770856, 768403840, 1023369564, 93575309, 509396467, 467961882, 429765921, 248847874, 249060119, 457739769, 921586664, 124781755, 1031713129, 833570274, 938779438, 466844655, 842578111, 321896274, 535627834, 1027977098, 780638832, 481244464, 776579903, 909874322, 123732036, 464384349, 3311042, 282228779, 569625390, 904098640, 1051840626, 1013233026, 590315582, 896563209, 103197003, 270517325, 1052691738, 697749708, 553887433, 86997413, 483239851, 973920988, 155540606, 102663857, 144318793, 777072921, 263888603, 471584076, 331958659, 275863732, 235904790, 930773741, 569555268, 130874968, 883724076, 120436289, 76356699, 531523470, 84249213, 629194791, 58760878, 429393658, 573750629, 174801966, 518847810, 446683469, 146649631, 188376581, 313883881, 344641256, 220854531, 713347766, 305460190, 61871106, 117593635, 693183901, 24676070, 510240800, 697702791, 421608203, 223101528, 736745126, 354325795, 307096242, 163089440, 919249597, 806951485, 269391385, 292741378, 776500855, 633093042, 944413318, 33434571, 183243494, 39514675, 896126639, 696938654, 574129360, 40490686, 122153213, 226241469, 533960256, 109492756, 155716303, 651954339, 757022689, 260609154, 283917932, 397217689, 835735597, 1050783218, 91149671, 498013533, 222426871, 326402544, 891420434, 763528155, 386432655, 248418950, 575860253, 1061991667, 911145941, 253855684, 29423296, 225617044, 704526401, 274459877, 185158666, 1064920037, 47273587, 665324698, 346766305, 301035840, 1052919484, 374948689, 363595057, 994743862, 97631962, 412671315, 287614706, 431756285, 484095541, 55161485, 215504007, 1058099390, 894009496, 304927428, 168111370, 60961729, 920121050, 862960707, 496147506, 331141023, 963485644, 282668520, 644676478, 780698357, 1007859288, 343226323, 544582486, 653311569, 430789686, 883887879, 893331939, 588849532, 535338943, 815889534, 120564051, 469546451, 988648445, 221650846, 148158418, 658209546, 929485894, 841591641, 934803852, 253377586, 902040767, 830601909, 601419356, 428635795, 1051849438, 51248849, 190893562, 737100556, 891761302, 1048553738, 914832694, 539429834, 605949403, 691191763, 882364633, 237036264, 943459155, 201446610, 815623811, 686988237, 996301640, 280423056, 176985469, 223991551, 134427995, 826743956, 415777817, 898054438, 1046205477, 836417019, 588849468, 504189312, 62349367, 1065357180, 981016801, 511385844, 51817840, 445103173, 974733458, 767266364, 642195879, 549435285, 978213420, 398611990, 230579911, 503339878, 334915761, 173257828, 600860732, 906967848, 277672600, 688428123, 733063345, 196058999, 511235547, 493633909, 949957670, 385104012, 772222826, 362081153, 180866316, 666752455, 337366604, 720384323, 315640499, 761490599, 300309267, 872851545, 1017947240, 1030746984, 1068332534, 566422639, 346557308, 328541113, 779475344, 15791308, 995710415, 332437580, 1033838832, 976495596, 37096544, 296911752, 92853745, 886058935, 97770279, 890084759, 801792032, 40865010, 152570495, 367798454, 610285114, 277214614, 276830574, 571951947, 446438551, 450013985, 833598545, 1046172299, 788608031, 425179942, 295644609, 1019921871, 231828600, 549175039, 507606079, 334582297, 118075874, 864373253, 157988983, 80921071, 961964039, 218237892, 466380221, 718335070, 823104147, 794308761, 138136068, 918483619, 390182600, 281136475, 303789521, 1028330497, 359802146, 866042924, 615567751, 442386635, 318993457, 85211979, 315317532, 98039759, 520073293, 216065036, 321167234, 729016040, 5551212, 656754944, 276011619, 673676549, 601027674, 917333557, 1020301309, 606558011, 774185446, 991727863, 419207648, 285475877, 418813382, 696434429, 628013001, 1051542427, 298442029, 68502670, 308775896, 649397011, 1020869805, 50274328, 625971171, 531098440, 673453834, 227581047, 409433632, 119304603, 78753940, 824186660, 179925888, 993896011, 28693175, 14099493, 207663728, 535143765, 875181061, 248245870, 213030847, 554111788, 844673547, 946526697, 286588549, 6064262, 637792587, 1049122467, 327450242, 756218376, 207242920, 85997322, 340024561, 675812459, 724499108, 300344197, 862670673, 864769153, 342269257, 330748175, 923045999, 327204566, 82413781, 613947307, 137138952, 313405285, 280977153, 912149570, 367752131, 621482310, 218716113, 306524692, 247832751, 657187650, 6656292, 388139380, 850795866, 474656549, 68212106, 658982830, 603671292, 919444475, 868085796, 595717629, 652916236, 824696107, 304493009, 683869256, 630132358, 952720730, 912088472, 107243635, 56524841, 680031631, 822457759, 471716810, 805976327, 346246545, 283942547, 46318839, 202827464, 966424154, 1027144994, 253548950, 694160937, 94780647, 104454611, 405104410, 1359063, 267066387, 824351407, 456576210, 1066134388, 381975281, 622728579, 666540079, 411895162, 510317106, 675898284, 664664724, 652866342, 455603307, 796021855, 990179720, 718170241, 81154538, 443387089, 76921169, 839493075, 696200006, 351631678, 284666972, 328011585, 350402070, 354258550, 57467336, 608030281, 944519307, 555812939, 568222401, 497067217, 1052560587, 515516242, 459181631, 639266956, 1059762769, 811523026, 727357754, 245041538, 155969607, 82401323, 559611444, 164236182, 483057662, 430453117, 636265536, 245159332, 935322470, 131898374, 1015643970, 834081883, 1052636932, 414494235, 311179227, 1040714057, 20651391, 258306764, 319647294, 854919632, 576962430, 130238415, 194281502, 646785291, 758654395, 651830192, 314352941, 729920836, 591879635, 297889100, 110328381, 172801672, 545975985, 771830445, 548741545, 675679324, 786476765, 855647264, 786325450, 156668627, 543658708, 737935580, 986969103, 766387455, 958798200, 18306129, 606821522, 307321103, 114475543, 125154221, 685096081, 720691308, 988585710, 414028368, 543649085, 734912341, 1039351719, 605472245, 312145841, 489710738, 668186776, 817823198, 149825133, 102958944, 243756273, 212547088, 743540955, 45441719, 675425320, 162344489, 933002459, 595141682, 821094023, 162100370, 745746129, 838433516, 259833394, 343765144, 344738398, 187902511, 782651615, 868705247, 254241378, 140129314, 315033787, 435308888, 387726054, 840254274, 995017115, 112210824, 24398554, 967168524, 551450911, 4706459, 201927654, 913424387, 314219580, 919234918, 807692034, 705626927, 953357124, 1069076063, 362506738, 148697761, 386459765, 9119527, 986345392, 524848283, 379014581, 112518840, 758662855, 444064147, 1002750131, 424274467, 281391780, 822639425, 479302171, 618850743, 419542742, 450211837, 949617442, 593359746, 573201534, 549619232, 490459037, 469471880, 424694346, 166954791, 278770737, 872719552, 909450803, 776116041, 38799591, 954976647, 320255057, 20030501, 708577253, 250592233, 582420908, 772941664, 1052153425, 269631152, 543926668, 74510653, 31168743, 866325377, 205132553, 593025303, 562590382, 394065667, 682582203, 312837333, 192101917, 755719603, 923940943, 133146431, 68206960, 826784804, 654035237, 695888839, 377658072, 57498090, 1014725442, 447608224, 798029798, 517261581, 578372994, 389181541, 154625237, 439718876, 743401687, 652311603, 404710380, 915661712, 263214644, 232104184, 210534077, 723958819, 173925885, 777113153, 510009605, 500195630, 769649667, 695691895, 345803151, 1051587677, 887861844, 637379288, 594799861, 68850821, 204250029, 209840436, 517292420, 173648550, 222305264, 350053641, 255139403, 836941777, 900342881, 330142844, 449439688, 554809829, 555001360, 339580756, 533341106, 79137664, 1034802276, 100332602, 937768699, 593808344, 429266348, 21345355, 727995782, 894205449, 93610430, 415541518, 843074163, 479382515, 713209336, 360492015, 334264733, 381348898, 699174430, 220036983, 322174326, 765549868, 844906695, 234667395, 254049236, 738376969, 303934663, 813186369, 150038639, 359904412, 676456906, 1041780330, 611394985, 713594089, 632939045, 62616759, 712084966, 347008405, 1211111, 639187488, 1035995460, 1059279723, 495977516, 1008824547, 971130826, 372835978, 763543027, 364203397, 150549288, 546842346, 432526949, 688152695, 1042671298, 1017589305, 449572959, 341629774, 1025560303, 839092380, 213773336, 332129136, 618929618, 1048339770, 715182771, 206980235, 266048683, 655895845, 225676138, 1073633996, 424335813, 852896174, 961367134, 795710004, 99977342, 48894644, 812163073, 930281653, 824598515, 207997663, 645818075, 319938680, 335148876, 736088137, 546346454, 1059843565, 22411491, 786370994, 374337269, 906493206, 456736974, 741755642, 1066496873, 480479445, 633346879, 455641075, 122474422, 937730987, 285721348, 556688204, 618609371, 484915918, 537334818, 626383676, 215705582, 535217883, 704149184, 1070245119, 839330127, 257050530, 564820507, 851214179, 656770117, 207946987, 983148774, 300258288, 309078105, 535888145, 92078762, 623588438, 838669757, 5957401, 43837806, 695324535, 935610037, 275260054, 1057635267, 1027381270, 932048489, 461392111, 525089548, 186940763, 349472253, 857402492, 846223339, 574729159, 493723767, 842300112, 807682552, 493589501, 772022383, 983793074, 39607670, 481067534, 762183508, 1032470419, 85071808, 986584263, 131273363, 656831493, 640824019, 147803014, 78870104, 982966337, 961317254, 225825937, 605378646, 341737309, 9172112, 102297414, 292812029, 3990900, 636953562, 116038775, 939343768, 119430375, 994448213, 68202021, 967290634, 516536904, 36352588, 631923983, 716856178, 873242354, 758779988, 696117968, 884032960, 492304726, 173639690, 215410499, 419084005, 504860367, 1049108775, 328427700, 497285892, 461766622, 2380673, 48410301, 994367158, 239070275, 192683895, 744571553, 409591222, 789294683, 628984852, 886253747, 778195130, 234102408, 365696043, 295936470, 545856250, 477638201, 198587077, 856569496, 794172407, 281652392, 602590084, 696568770, 257105019, 328237222, 902125550, 825419041, 281308310, 721059488, 156431768, 334957665, 1071077298, 484123093, 78349593, 178873519, 402382060, 690119714, 984281576, 917961731, 171839417, 618365596, 693675259, 691772456, 973543666, 497971613, 347797265, 546485165, 166860909, 860182797, 332711252, 351535262, 730058420, 636030165, 779430698, 796214654, 408273321, 698003401, 602855417, 154815345, 452249061, 143506758, 1036713523, 31783205, 348993772, 953621995, 129353950, 770846529, 154497472, 1056318329, 859117013, 842425419, 101407429, 990069083, 159499539, 610808095, 421994634, 340687312, 779908073, 823030307, 87856034, 721911835, 537832567, 547983392, 152915706, 59561226, 724909535, 765610779, 117723030, 523885668, 476619828, 636422581, 31331003, 606597200, 476580022, 105983353, 267188285, 46436855, 29765844, 357745524, 450239654, 926084, 878684092, 933493815, 534870977, 578143359, 648451533, 780323009, 535223741, 236943424, 960057501, 853792082, 733606956, 665857251, 180915191, 750009778, 297566041, 955697761, 354391226, 390080360, 148048171, 89297358, 486586582, 271214725, 526195657, 351194735, 105544154, 678193276, 392470220, 446991059, 230828074, 1054190643, 969585007, 147534444, 592030722, 620730465, 690609684, 650999817, 902447305, 435454052, 982798472, 77835054, 876679666, 887237100, 496103879, 187233465, 193670307, 89833878, 856707178, 775153192, 275030940, 759136465, 53873274, 819416699, 362560874, 88561850, 475259586, 318572505, 619994169, 853678506, 592784463, 864419298, 285656366, 317846293, 288827989, 336512806, 922052982, 508685738, 131964688, 892544640, 92381653, 906638937, 655333480, 854988743, 387864611, 828994614, 99098048, 714323646, 965983290, 785534958, 952796743, 954499406, 106025852, 485038714, 70860331, 811810420, 580298174, 444897769, 914754200, 565970378, 668371489, 802938572, 503609763, 447842668, 484912735, 34968065, 740005716, 525511268, 14588542, 314575032, 212835627, 860785595, 767126674, 558686681, 163833238, 350915432, 323902022, 471070040, 864407464, 606128538, 538811802, 287792961, 659370131, 547811641, 97291854, 664389377, 853561439, 120218083, 487387105, 86795328, 441656239, 942412914, 814484627, 732598655, 609038719, 560581897, 883879613, 167932004, 1025549098, 372582576, 727561227, 130546654, 626462901, 271923130, 300122302, 393581747, 748308271, 745535222, 982231268, 731511197, 615752222, 517312159, 34713588, 497899819, 276130977, 216265524, 342781915, 387120205, 1054107717, 575033891, 844233461, 487753062, 1029782213, 839258792, 867497104, 197996407, 494110853, 1037164347, 720676393, 76298183, 808235804, 667619173, 705918848, 304390863, 902818537, 227658898, 457607708, 930313348, 262658178, 134630455, 4533188, 13749035, 1062203078, 428851919, 271352300, 233295466, 640870909, 320424594, 476129222, 259347350, 822321814, 262029262, 24514067, 809789659, 613892574, 535006284, 398920130, 1051600180, 474167176, 1001006384, 601971509, 581347366, 631291741, 538576773, 370735495, 150691392, 610360309, 235714923, 568248059, 161181034, 910327693, 236656671, 187324037, 276307057, 276658165, 468578442, 792768293, 921851706, 1034959076, 381199033, 676535345, 187151280, 907892372, 146783828, 1019386993, 127250026, 754753679, 563755868, 47169254, 542068189, 747965868, 785512679, 689249482, 526363453, 189687814, 840770539, 808299681, 39755604, 175680336, 633672210, 665208706, 202292858, 280290336, 701321461, 458477284, 228900476, 642036718, 134142266, 1030873662, 820612253, 643284994, 679221682, 946425575, 176519546, 601994143, 43833537, 604422720, 269422049, 969517495, 472609485, 1005062555, 691021460, 907945078, 306096981, 102456222, 881798133, 1066910829, 48485054, 435764447, 920718946, 452444814, 1022012633, 504337237, 347833633, 1001147336, 88095597, 527747161, 253122613, 428388113, 767296824, 558220241, 29492450, 196547812, 971413270, 535720062, 918238678, 416520622, 592352221, 851536238, 517908103, 727866287, 189061809, 670673004, 314934446, 108716905, 38364513, 267832685, 634391824, 587881186, 589157625, 756782158, 741077630, 855308375, 453191378, 339152646, 850846932, 1052465112, 131581063, 592792284, 150812396, 641129980, 203707216, 230388528, 380641845, 900653314, 657372326, 158023672, 819257781, 1009868198, 859529112, 532154383, 936390717, 750844988, 766519878, 329319014, 726646738, 723534160, 299555187, 398026370, 481596810, 834255839, 887090569, 728181478, 927403981, 117019957, 699390691, 687034358, 63119173, 683648198, 629839427, 1009630884, 722364662, 3659787, 882485064, 16578810, 123288058, 348220997, 212011006, 804443106, 110052130, 316444850, 375787892, 865428234, 763079287, 1010100373, 169141782, 537033696, 108222701, 768856652, 333242000, 963172581, 232085512, 52476051, 594436900, 887424912, 443851727, 873489287, 610932989, 119228276, 706045932, 963516781, 834415713, 169429310, 609773570, 433573430, 820718710, 941643912, 588456306, 554266717, 318314037, 952383733, 292690796, 691911727, 745492713, 174686201, 750934581, 890448994, 977210560, 271136364, 950694059, 712049425, 869546205, 532933721, 686009908, 933210398, 704111212, 420436090, 185606142, 898371338, 379580340, 461817642, 836375923, 296386976, 402949492, 349423317, 954326093, 953046571, 287863670, 710029509, 520456700, 731194901, 218217359, 829067252, 561806794, 109852643, 222005939, 293223483, 127511680, 441361879, 325413489, 86632142, 514280631, 252189661, 366337847, 196893738, 746002484, 94147933, 561039924, 1073169129, 730283864, 413476138, 107168858, 333887442, 509905194, 195240024, 235493496, 382586338, 254921212, 443726257, 107178150, 211669473, 294385875, 901409124, 452927373, 260111050, 257294129, 263202172, 269863185, 112183821, 230372128, 892378413, 301898716, 151220092, 663909527, 462385203, 576102839, 271049948, 747637161, 44534459, 754383868, 122225725, 676165333, 542291773, 883026243, 1029291242, 941157089, 347237447, 835505755, 985602236, 419906119, 624776657, 684240086, 663390441, 477068868, 412618632, 782057015, 913375587, 857550669, 111219516, 675701091, 1005396699, 631090057, 974604118, 508412076, 472654472, 823951096, 896664473, 879607524, 220785299, 94170497, 929271309, 942667890, 429518232, 631591908, 67220895, 1035892335, 912551231, 387589829, 772806890, 960246888, 22451053, 116373554, 685351470, 418052502, 465234901, 152782188, 789733456, 139205010, 334450806, 424769838, 639215241, 78506705, 923922148, 1018558533, 194079340, 750713128, 1004206475, 27825344, 329139092, 775616485, 107331340, 405029032, 261861404, 266863324, 368538045, 997661724, 1046627637, 399364509, 326599587, 593241941, 782371954, 356576763, 681248686, 600695241, 252519161, 119790239, 327429191, 274253059, 1046124751, 1001313735, 510337401, 728338214, 569743625, 356285800, 41359365, 633026657, 132365748, 156808555, 498659198, 487838762, 650764838, 899595435, 847182092, 930477467, 200265019, 218416755, 958171922, 148696052, 323062674, 941259097, 991867818, 232157810, 577970719, 832215471, 73406155, 264037352, 676165585, 928020917, 771717950, 950644370, 356274800, 1037645125, 906088766, 589573742, 124266723, 655851488, 786971197, 349166741, 408566599, 638112607, 640062662, 846424392, 413789187, 627079445, 164058264, 552776526, 372019330, 568981593, 86978804, 200371196, 353891598, 1010624097, 110611858, 899339191, 417848667, 46271716, 511187461, 1024431534, 67689907, 184844058, 409504480, 496022949, 57848997, 697112, 189137245, 1028083482, 670445328, 608873287, 582338317, 73164285, 473963379, 886381485, 364347393, 460002456, 436495413, 428921089, 302767708, 454576674, 842635752, 888676990, 766042963, 313018836, 481037766, 577498696, 956000106, 220768600, 748209885, 678593300, 13779342, 268220804, 283284011, 890798133, 576394357, 791004438, 827068456, 558023983, 187158804, 16643699, 246138176, 987138832, 1032724102, 466093916, 641173597, 697009434, 605364556, 96013012, 555708008, 128856397, 7507315, 416412135, 624080535, 301848295, 248511429, 329682936, 599475138, 314960481, 42283499, 698941208, 666854735, 348422968, 743748853, 565400934, 258644037, 486737132, 83195374, 123996301, 54940705, 77121394, 667074695, 970560184, 400785011, 798158563, 924297883, 396999280, 1047382430, 147396822, 1055335754, 910047068, 836760669, 637994651, 104852299, 557463148, 1059665466, 79259712, 847410574, 699093605, 616994104, 980055950, 949471373, 927588575, 1310603, 584976810, 120595293, 810608860, 232793926, 869667263, 1012339128, 760960029, 450438785, 992832789, 431891288, 474216976, 397194599, 539385764, 746257280, 524653167, 736786669, 364824362, 890492059, 475021111, 562728971, 660099260, 415577136, 921560171, 719043186, 807679106, 188472433, 330789436, 456660803, 507990946, 952311617, 29904450, 1046451356, 192229428, 987919364, 196098457, 723087767, 1055542969, 612009483, 786864711, 735098313, 778692977, 795051530, 589620314, 203913153, 177007199, 38429504, 836335352, 858108359, 424475697, 349872313, 435743748, 1045948590, 883617934, 400261448, 968536967, 94237535, 157749814, 533001677, 517912314, 731304094, 278036552, 1045545738, 1020058508, 417492931, 435514218, 497657358, 382636039, 206396381, 467339844, 1019923744, 346156889, 962469520, 493305904, 452311293, 322601043, 513959277, 868103271, 371013918, 812924894, 850296613, 160067580, 839874448, 46132373, 693580769, 617969967, 1014121949, 425889993, 64246556, 759061631, 716730839, 1011157791, 550103574, 389591799, 384958376, 105135642, 648325104, 604131665, 652323588, 673168339, 995918102, 931280723, 225247484, 669372977, 534083200, 684195740, 230840286, 889048259, 721317913, 504797789, 811867588, 584832789, 482175645, 834989003, 686356512, 524533918, 766928823, 510072709, 445484723, 412574862, 56620777, 402952453, 549729239, 737720936, 230870660, 8442214, 511132494, 116519629, 507961124, 695718403, 1042938113, 577076972, 227504651, 332602245, 228401803, 155774468, 1041963577, 865791593, 897954851, 384208748, 1066092483, 976643114, 191879971, 804771174, 839322819, 201879774, 22367728, 486738725, 722058948, 828566541, 1048072015, 596988713, 757252652, 165297334, 871653814, 31117144, 227243079, 52239879, 9782968, 681789278, 650460942, 136883264, 217577782, 458866476, 643852005, 827757677, 616613586, 19922612, 341032587, 421735988, 508077858, 5868405, 463429647, 808997189, 711356439, 137848615, 898909636, 334662406, 984342089, 280268155, 60203551, 71310793, 975890738, 991895732, 671817541, 401233536, 817964111, 410392939, 731801074, 816029997, 640727145, 668745627, 162435590, 919091747, 671819966, 572133025, 677841754, 439120118, 895117872, 888465624, 483693794, 566685369, 817109495, 301097105, 761102574, 939056364, 714502499, 833493820, 175948277, 491378318, 1010976261, 1053698128, 823000632, 699448359, 971454457, 387492029, 681278965, 194198136, 14351175, 488323182, 450430359, 546908124, 52374253, 126844188, 996255713, 71652739, 804342214, 113076923, 9012997, 451010749, 322573382, 629218929, 955533817, 91488752, 83619018, 517351268, 318281755, 640879677, 584569460, 622363909, 494743920, 342861339, 127674456, 450327910, 569702136, 244573358, 23989574, 692298492, 907543546, 139428544, 675825907, 196664181, 1048511651, 17548253, 680773791, 990226730, 577073817, 533187868, 497031671, 698705217, 884804565, 905738296, 579013194, 590493404, 19411666, 212703353, 167271772, 451312394, 450987276, 374443025, 101783115, 224461048, 492836688, 741792563, 7020050, 382133662, 453302309, 400043487, 641840755, 142918549, 375328895, 237926864, 727284306, 529434501, 451467162, 480205962, 821566984, 87030632, 518607552, 404220678, 785438510, 17480842, 669961591, 228892081, 543820014, 239453281, 502609783, 689799078, 815478021, 511352515, 425738594, 661285658, 597836219, 443665607, 1010185665, 141735471, 571740979, 1008175179, 894162295, 917626819, 369143981, 420002003, 142763313, 489674582, 166831407, 234389714, 856003499, 902605827, 417715512, 651339416, 196677395, 138049557, 906841439, 554880982, 282924998, 78741918, 745749829, 245158806, 795040139, 232182140, 615355814, 512790109, 358086730, 198939684, 3370834, 697070601, 801062489, 450465801, 345791588, 586228036, 149897101, 858925081, 1073609172, 138716369, 530066991, 594512769, 745533346, 245943465, 450969137, 438141551, 989219047, 555003541, 846025581, 1001244808, 422854646, 553503655, 573461417, 328340480, 589515575, 404551144, 429376966, 581049843, 891967898, 851478505, 317709908, 581823261, 765748152, 243050502, 583581360, 500576559, 672861341, 937250802, 259153609, 170518828, 946783812, 207186059, 65738198, 984267028, 199984239, 664090531, 486406844, 206742681, 477635456, 756034835, 276597314, 670635808, 899231120, 148876330, 834970128, 878235685, 319297477, 128492771, 95596786, 692097625, 68736563, 709314459, 292718525, 859730138, 488465731, 545830116, 983169376, 1041340909, 946893589, 645235232, 201196257, 153904396, 598699179, 725571141, 738984721, 1037085996, 539241858, 935068533, 620858439, 69740439, 748658615, 973931406, 1024657609, 391473913, 1059384934, 939531698, 938933833, 533940803, 317211487, 1039703705, 54870182, 223526550, 93972372, 516796515, 575151257, 479827025, 973442711, 434811886, 334549424, 522434260, 980133443, 144747695, 549203703, 471713183, 550951761, 968880453, 61203252, 251863805, 322573637, 585013802, 639882545, 477925446, 100270943, 36581224, 744768195, 149645947, 90894709, 196229492, 799777765, 649149387, 961655389, 169841641, 720730645, 162884880, 88902690, 306728669, 421236752, 101347752, 370698970, 11971685, 181113945, 486280727, 532634874, 768949183, 808939341, 147811325, 713612386, 982295475, 19279297, 704149592, 405613344, 291046914, 70471161, 145798818, 313208334, 297484124, 948485488, 452784913, 987800012, 770453602, 371166348, 851010605, 220293691, 1019788243, 2237798, 761519412, 919034324, 609090816, 429479147, 621896388, 742075356, 339848482, 467511222, 839574674, 983015947, 56989546, 976388351, 684936982, 718747002, 870323501, 908870130, 887035928, 73941067, 545083626, 349562376, 1039856772, 533050711, 998498809, 609080207, 197294381, 577259070, 700607494, 679076343, 25922772, 1067326538, 754718360, 865551299, 415652749, 362980744, 780622961, 41360998, 67065845, 216449682, 204162917, 129786114, 586196503, 14393560, 468672867, 92035614, 52086867, 217549302, 638644158, 171451556, 420929362, 161885414, 1036947492, 59572165, 383440351, 54034342, 792834008, 621527783, 726747668, 1024761753, 52628510, 457473573, 193335653, 1026897854, 392726748, 777054747, 281884134, 642925113, 284697019, 328007768, 503850450, 815516781, 457662583, 557772259, 829588735, 1007405420, 1029205420, 633436203, 339284929, 1029644123, 646163232, 55802786, 719547799, 826159349, 585073713, 1070699996, 523712221, 927431835, 792522813, 834930011, 397674249, 901111014, 168260159, 832418577, 215243471, 848032819, 548763306, 343562292, 584369511, 720036163, 56527980, 193533532, 163903958, 228104796, 852645780, 88757388, 807548611, 509381838, 684885487, 78631619, 36174911, 636403529, 729379135, 121952405, 68210742, 948586089, 489474213, 574686484, 793589881, 792550892, 117452371, 920873158, 465613644, 787446056, 407594272, 957169665, 947615662, 773639181, 558090173, 1050044598, 171703492, 33114768, 697247444, 615086577, 486147020, 501604460, 1008154367, 397433398, 522013580, 783572343, 508349459, 1047688730, 158526264, 250280033, 454148024, 912838099, 284116009, 391092276, 183899899, 847323409, 331859809, 761480523, 871886509, 1063736450, 749192198, 364778521, 926821653, 767182076, 624940156, 649374143, 735392989, 466548476, 176092092, 900257665, 766648695, 629924547, 996152968, 675611205, 273689004, 590608546, 189553675, 72837598, 766318731, 315318438, 83034914, 361645114, 817441674, 1002755537, 686389159, 828653904, 774405682, 282895308, 668836636, 512094041, 475462997, 943501331, 906135958, 543032340, 441234923, 649744456, 310146877, 1045877162, 398172189, 1037392287, 486270888, 355898356, 283172973, 599221003, 310579754, 802547133, 124221347, 69021674, 458096481, 789934807, 305690987, 715563514, 684064658, 979963194, 147002006, 145032230, 523356326, 850202973, 286017740, 573305091, 830434287, 806368311, 803685560, 1036372872, 208209667, 736169350, 357877950, 1042686342, 503349579, 6421256, 20329549, 946566321, 16605961, 411178917, 2709824, 248860186, 420496931, 607731305, 316559780, 533700697, 1014137113, 930339408, 253292298, 89649623, 425830707, 563561610, 828810465, 256446910, 461670224, 550620316, 982716734, 859619810, 353454024, 454984272, 1031267143, 400076449, 423825186, 64582504, 839623253, 33459527, 458237560, 853996301, 774096452, 422636784, 644844291, 915005791, 1041070522, 741799770, 21915890, 749736291, 139238294, 272812663, 743208046, 244320160, 570246133, 661469117, 464074503, 663031163, 1057783843, 808366629, 694677930, 853629600, 227228241, 142009595, 344365325, 228027234, 852943031, 847247627, 919170805, 59968302, 60271100, 388181030, 710380057, 476059956, 360850482, 854856680, 83998822, 747857166, 770008994, 245219656, 741112681, 689872192, 15960472, 505745565, 423300751, 919124761, 98331571, 176966683, 759312847, 861861764, 373969677, 580507572, 352999018, 932762438, 664659416, 682735371, 44379994, 92875811, 1022432299, 380248398, 156506204, 78471136, 690056233, 460127594, 437731446, 384429889, 931681359, 665911391, 165881552, 142873255, 928101593, 736034107, 320836109, 713225673, 846688412, 158367087, 142525024, 302716854, 414455234, 715619480, 885943490, 741634984, 351752221, 749686275, 712853120, 61368164, 13094718, 819068186, 627112394, 161907904, 1035396971, 895267815, 166887197, 299330254, 626172340, 492026609, 765076325, 734591716, 212179903, 90392615, 949709368, 239224601, 5842643, 4680546, 364518968, 557395800, 331346589, 720695807, 594339209, 656466194, 100976136, 855835654, 598023397, 2090370, 679398999, 289469290, 57775245, 601450572, 499886384, 1011655229, 555610306, 994320895, 937746183, 760588604, 759646851, 34310890, 736023179, 91902531, 206426511, 1028206763, 913585211, 112977764, 693228652, 143132835, 696629630, 56651564, 976166741, 762522058, 75052089, 1029861019, 518004702, 694637528, 380391775, 798903052, 925050900, 549374368, 293947271, 965371076, 100872220, 886742578, 224173277, 484496486, 236862974, 432584719, 211936847, 774667821, 465870634, 284615939, 172895068, 770189731, 340988017, 252138300, 1017422897, 877918235, 748486054, 36390056, 660605806, 951024725, 431432583, 376575268, 612164650, 988215419, 56186441, 286647143, 33629388, 261047948, 851908875, 310473753, 992804212, 821986608, 65558855, 670064064, 231417832, 815790548, 90735908, 160864649, 645768072, 522217010, 734811924, 505784598, 610969327, 1054543818, 950492830, 47737688, 448757744, 95254495, 277365735, 1010093590, 106682272, 1050726066, 247920794, 586319309, 978924982, 868283000, 256686600, 583585195, 546804391, 878055071, 254464591, 487892155, 90758469, 272751831, 952956440, 536735942, 144057583, 567021769, 773838268, 951104686, 623703353, 517104402, 732385585, 653957134, 963916276, 729795645, 787778057, 80681578, 336064986, 74153600, 1031924096, 520236730, 996138752, 351894079, 92744121, 304872027, 52427653, 570565943, 541383159, 946013852, 869251193, 912481909, 871514879, 883603022, 1027943726, 190194146, 574604245, 376247921, 765602261, 545982633, 85132982, 58558045, 724131834, 225982470, 1035656253, 943647183, 513116635, 184156333, 189201460, 123732392, 137776398, 876130454, 879129222, 1017515368, 23335074, 548202601, 756165101, 999709568, 939304533, 231846079, 151793000, 947672204, 917232010, 405397459, 301443444, 732607070, 457501337, 17844750, 737535139, 150740246, 578112003, 442761221, 1014703352, 161363021, 245611478, 572709784, 183756873, 920316887, 350883204, 236872449, 303064101, 127352638, 627692730, 1063389698, 976632160, 924638122, 395818986, 777023812, 176007005, 712224366, 558609227, 1002803408, 752015617, 286477003, 758580925, 1049200453, 7978943, 807882579, 643498123, 614606209, 577341780, 457990029, 180889857, 329365145, 836410005, 989549321, 320793436, 460086197, 976748625, 772949995, 559118346, 4351615, 866712393, 909357262, 110037753, 269639828, 667337314, 207897031, 590756194, 11838319, 201811393, 1003771027, 184847127, 84149564, 849286640, 325348924, 1001884046, 927455060, 666352083, 92098383, 510526150, 397675450, 225474020, 256102615, 80358934, 907048543, 535814334, 649820484, 765464306, 670951787, 517308521, 362184625, 627533329, 128771444, 814132952, 915185806, 158737480, 845679856, 17793207, 712953893, 713802493, 650784146, 333521906, 269588353, 344966947, 333689104, 610330867, 920415997, 669689905, 1041672026, 941666944, 218541670, 1033341892, 895801161, 981895672, 314765006, 290977318, 858384224, 153632397, 1057791125, 160654313, 646370008, 579761753, 26159015, 839846689, 435604, 98775877, 829565869, 197128639, 773858192, 715906, 987943638, 1003550358, 383980340, 300533680, 224215865, 682058476, 859230580, 109786440, 278112329, 1051314771, 796594806, 877581415, 518106055, 242734967, 588114468, 987014706, 700802084, 1024992294, 118971375, 819190029, 152434745, 263585216, 131190963, 34570603, 631073117, 243210079, 668033678, 762877951, 747387647, 810933195, 478491096, 520253728, 12645071, 329421039, 455437373, 936889084, 621330119, 934017149, 661412562, 909087453, 305315051, 1020276180, 924407350, 651932932, 61862914, 834559911, 69575925, 704309826, 633822213, 898322893, 679262308, 197503319, 644347068, 380967679, 801202330, 844169977, 876988805, 195231628, 190883, 379572644, 601421699, 1060286822, 1040078758, 904315672, 602328201, 842334293, 208939255, 1035115195, 29991975, 435604510, 428109853, 876949338, 951905778, 264280375, 146474668, 636355622, 903194111, 647525951, 634905285, 711300516, 666001889, 81097930, 671509208, 797172324, 764228367, 377702479, 977748015, 424150659, 39092993, 951497999, 662214363, 45206102, 34484626, 802776462, 634959719, 609588202, 614452814, 443049148, 4324933, 449122560, 286267181, 50494014, 967791010, 340656968, 299304533, 723479249, 286848193, 1034586981, 133228452, 465823598, 24946217, 633573050, 705377825, 365703227, 132079788, 943822888, 673842944, 966176661, 928545133, 937194088, 323773822, 438198131, 683476917, 871122105, 147880267, 446411903, 464953699, 124285345, 872740856, 1030864122, 732700854, 43624488, 277410390, 604030696, 709447938, 443188403, 466373329, 525730847, 592320298, 279688713, 615343748, 30067909, 296696619, 897764971, 1030926394, 642203352, 408321756, 542620822, 714034980, 4967062, 122201338, 1024679469, 999136217, 700932788, 1071087328, 1052425385, 205866814, 579703497, 306673610, 370157941, 695087802, 692074337, 842226407, 198745151, 1042634890, 960032073, 439441554, 717876560, 1009256139, 51445319, 532343935, 55018359, 1058299348, 1005126117, 177546447, 868100938, 741886807, 28949003, 654804422, 266627509, 115285613, 168955901, 539450803, 352321142, 522627767, 382763232, 755802142, 790016283, 272346324, 341379928, 231848962, 777243327, 1057488081, 4967237, 599486857, 186338804, 429389136, 945899981, 213827691, 13360577, 950156143, 120213536, 917630301, 984368561, 1051456179, 361015778, 438713812, 732890734, 572443325, 522851587, 184065196, 909029443, 923276526, 512702832, 401344164, 29406985, 941694027, 998456409, 267768273, 910710060, 555549477, 694865686, 819336114, 769096380, 639533158, 803612937, 237605339, 799846166, 473673969, 303956493, 1029911213, 675824932, 357177406, 341888906, 990156519, 794993768, 597765919, 665506063, 505848380, 633555980, 575131841, 135403702, 764370495, 1033317747, 857754676, 999232137, 1017809811, 700158739, 184465168, 188247110, 461045789, 1052696668, 527763909, 277164546, 479777764, 273517738, 133269878, 135997880, 214133984, 356478432, 735307839, 802242980, 1049705189, 211533206, 456385424, 1062298114, 860158453, 646615248, 974258126, 496005129, 990700102, 134699729, 1036721742, 618249898, 712284191, 921287883, 941833899, 698027378, 779035983, 698084302, 995574089, 52734251, 584286419, 866426551, 801945868, 1002680418, 394803221, 9519068, 1059174785, 913012800, 1008432173, 935041708, 90179369, 767561801, 386620032, 964032315, 247210121, 7222696, 684314001, 219451885, 55663015, 877411886, 690058811, 886270508, 63698893, 180771618, 819308612, 908397843, 946424781, 622856145, 218210756, 995955792, 489317268, 879229086, 359086563, 214216485, 448201918, 967131386, 417091207, 911585161, 136587801, 258455906, 844332589, 278947569, 693719748, 268247715, 896110145, 843161251, 532710613, 723558525, 163067467, 123752187, 497434910, 525234275, 278732566, 532148217, 464524138, 863941642, 724599690, 534169004, 393418026, 858671725, 372550904, 978062153, 728180724, 21874685, 254994459, 119149577, 114219844, 797018165, 719390611, 965392163, 1024328553, 99247748, 516228562, 25846654, 908110933, 786611195, 889798508, 595781609, 979108329, 622810719, 215476379, 508520446, 535106071, 44977355, 948399691, 1020100418, 786117918, 574187112, 398913995, 617497669, 333099210, 1043013812, 78611737, 692692591, 49427501, 890355920, 543627797, 417275737, 499045599, 386704768, 364314367, 16617029, 1006663603, 430913264, 647129769, 414410056, 515652429, 439367445, 124584408, 1021811143, 59353847, 39323855, 290394430, 143064709, 321581814, 829959516, 227440284, 700408424, 73581833, 602233454, 534153548, 916731857, 1056368292, 1046140565, 822389185, 393918001, 618575930, 1040885144, 79822123, 20877723, 258678731, 867894070, 889175442, 56695138, 739575190, 671935281, 756457986, 593147999, 232882232, 1070053431, 1000271834, 287050147, 143894270, 22055283, 818465582, 757790863, 238765569, 1015876699, 197280376, 17713347, 203717598, 210627229, 62129341, 518154818, 814409126, 953024340, 592218479, 20441544, 409408337, 681749469, 89010492, 607631326, 378681788, 536131843, 1057109667, 29704439, 353114446, 414861985, 549989336, 607373134, 1037516882, 495648934, 782977745, 701089210, 974746981, 776525152, 947083899, 963044575, 32437392, 1014367097, 426593145, 851393948, 731403914, 183711411, 320435004, 26789535, 40503691, 612160599, 1027463417, 120824392, 1058050948, 190936133, 404507194, 712702332, 353720096, 606028944, 336222701, 913919616, 782843825, 938500310, 216502512, 775572784, 656134848, 681672531, 918129870, 211229670, 471780403, 798896683, 424829695, 173725340, 22540840, 451377825, 988508067, 864909103, 116729184, 438361420, 188285188, 506507295, 1003770047, 857355752, 951064433, 201405387, 507444924, 479199728, 993427700, 711798020, 987181824, 809430926, 1054127096, 245162706, 646318175, 817791796, 222771790, 1069946194, 508837396, 423610751, 977786284, 310157947, 811790221, 900409579, 473109552, 763940764, 124390753, 504682927, 479244677, 167343680, 879826565, 163682900, 460434853, 767862182, 691601936, 98843154, 414913768, 378545693, 532439125, 856039377, 789011875, 496285435, 900618026, 508668160, 280893482, 353668360, 283097293, 138858126, 715216050, 279583310, 436272575, 177625554, 740497029, 666328632, 80182186, 650396355, 152468077, 35285393, 858334045, 691119128, 304884735, 84567559, 286414866, 942695943, 6708313, 365094007, 176200460, 791375102, 45333538, 274691281, 744402685, 1048058153, 334607533, 302564199, 494690531, 669395935, 490104330, 136546491, 456564382, 800263387, 875654214, 233772314, 329463308, 804750837, 792086402, 682518505, 89803491, 1011310541, 67566694, 251260602, 720243429, 326608448, 311983278, 567497329, 610988066, 611133898, 1044924633, 727008369, 670449079, 296519047, 1068373591, 391571380, 534679494, 557885203, 617593146, 48831818, 1068905414, 653840626, 1020580241, 608038729, 867727218, 995431882, 531977082, 537939810, 812003169, 200948834, 422007699, 956014479, 596210604, 770528650, 607292372, 454657278, 202248508, 590444828, 818296580, 778656002, 705298446, 166019721, 657856522, 26553926, 297255749, 853887947, 491800876, 401485962, 137309134, 287978353, 53774909, 911913646, 564786026, 576646106, 1073481305, 576344195, 212873933, 828652435, 552602425, 795838399, 642285824, 879710344, 1055613929, 520322502, 527347526, 47323784, 138442206, 511154241, 686930396, 52754198, 438208314, 454401726, 307188756, 44482204, 282935490, 802734106, 137378870, 526868996, 937137938, 876685039, 214443926, 103212036, 301014222, 351792394, 891101965, 959569373, 893405721, 154734719, 562851817, 704655897, 861173333, 132693100, 695908442, 979004140, 82048676, 924500153, 908208635, 1066807712, 470993194, 178119333, 211939647, 314858512, 636120246, 971221578, 18331549, 1027963793, 1066103317, 604910348, 734584589, 15882341, 1007391046, 514418138, 805056820, 825894521, 869519633, 659672948, 579346415, 296682850, 714314047, 817699138, 439452281, 53621993, 428472051, 404501082, 365532597, 282307389, 198705513, 466982133, 850297292, 107803233, 665759063, 181279689, 574156015, 809368575, 379611402, 627441993, 862769522, 768597298, 1024864211, 521946838, 341117797, 138288625, 78318746, 647786580, 300735059, 618488730, 629000768, 137839539, 167418133, 4879188, 181967630, 126382146, 307980550, 779105046, 94118624, 533217187, 377524001, 860194060, 782081933, 609655332, 705244434, 905604988, 760997084, 151184339, 675294363, 468467097, 910199344, 623372913, 927550934, 1051744190, 111733218, 604904833, 656734353, 97099445, 992762429, 349054932, 1000140923, 804995462, 586475082, 1038300527, 410559253, 162815510, 500315834, 763455327, 698168812, 1009688539, 804332899, 689348731, 718925743, 743577029, 1041535433, 116507402, 167476455, 971120892, 512216858, 755213528, 770360220, 533220680, 752116755, 768589652, 371105044, 909991527, 509398236, 718399042, 831983686, 259627666, 784267330, 765378435, 968757201, 706198600, 6193808, 975308187, 633059481, 173109629, 6595834, 469643723, 431033803, 248552899, 150865808, 182180203, 809399410, 280666412, 710437196, 158275199, 404974733, 874773336, 622864443, 1037011080, 955145410, 257156072, 523055449, 631254243, 612751926, 778101643, 488482050, 727063073, 984678654, 730856744, 407466698, 348875933, 38360514, 633359089, 874442350, 188523266, 346617858, 858924072, 312163887, 576154313, 258815815, 519031934, 571337391, 706619503, 154243971, 661503010, 1022382960, 1012690663, 929590031, 1048114791, 400249819, 905371550, 10099355, 906805739, 388363858, 100361003, 849088672, 158958192, 795266722, 574685625, 364542904, 739285162, 118639790, 209870881, 703602999, 456841241, 926620997, 656802074, 620785839, 38286277, 1037197537, 1004790959, 13302499, 646721868, 633121707, 904916574, 323643011, 812965285, 307715672, 65375083, 370068998, 611075206, 766639595, 68865931, 739173575, 129811174, 1045698517, 838222508, 397031913, 28801467, 252842833, 86863790, 576341380, 528074227, 549708934, 409067004, 509798464, 813282889, 384658977, 28110493, 772997946, 982638075, 814341127, 311326038, 597711226, 940052968, 337057699, 342535395, 497741006, 600312112, 309384784, 714714011, 899716591, 550057524, 364701175, 428836260, 1046146691, 1053586880, 921561494, 1031911284, 928404956, 136791116, 292247611, 454445773, 597234215, 666954961, 397999793, 618250673, 388789225, 233235292, 14190202, 831280836, 401182323, 975484581, 692221831, 425675506, 448003482, 774702136, 587560790, 10417919, 529546745, 121243810, 140278623, 226533003, 102336961, 573494002, 1013496921, 479626432, 998388565, 330827611, 720671264, 972410392, 386669026, 814419287, 610018272, 766421430, 378596760, 618426635, 302695105, 1000477852, 88211931, 1026478792, 793626136, 46624065, 321238539, 877105637, 4276562, 512812833, 934709025, 563648395, 930878510, 16964573, 723841299, 495480745, 886360064, 818635798, 406754800, 861975532, 653026138, 665783706, 541917232, 500595002, 861451976, 390572106, 385744324, 953686323, 610324296, 325502150, 78595301, 58697649, 924870049, 220398552, 871309134, 770569739, 660775809, 913917435, 807784989, 233107647, 420650975, 122137523, 800689841, 241024356, 584660377, 871031399, 1034901212, 218014948, 402380463, 190789765, 732463617, 1042867584, 640278914, 955206107, 989533605, 1008684261, 1024829416, 611732781, 735829699, 883842676, 74659157, 204863141, 728439411, 231542888, 1055232444, 532611356, 1066202044, 645923972, 473628614, 509472861, 790932581, 525561408, 144698624, 645967661, 244834095, 66474047, 423844969, 1001879090, 190480115, 647124791, 812970865, 963427468, 937082383, 553177252, 188879634, 785313540, 1021949682, 983057215, 432684766, 1069745547, 817609230, 148270550, 582661543, 936553360, 840976433, 978196961, 989787724, 913117466, 336356473, 945869374, 513149159, 854605705, 95203546, 220368947, 1054462520, 494772994, 1054840055, 66258168, 578719206, 162680113, 473003673, 202934812, 106593303, 633098234, 284304086, 802344045, 346992051, 992641697, 261964456, 90041140, 990484676, 1073406821, 871392360, 84143586, 509329099, 804391704, 313119722, 392168167, 309905264, 323702732, 79923640, 124657738, 31039744, 347763782, 514342445, 69356255, 169123351, 122115602, 44429991, 510983168, 110781131, 377506877, 639166558, 105115847, 774981173, 451573255, 910706291, 24326173, 886870132, 124383488, 617842486, 263137630, 69110947, 660315828, 296661505, 847308636, 611509977, 579704667, 73258487, 815734548, 729206199, 975309700, 828874945, 985212751, 597092852, 232559426, 397603158, 678214193, 587979575, 874609036, 808752436, 568764139, 983684545, 617742615, 773556178, 61784275, 841475394, 1066195452, 989908033, 242623734, 711029981, 248066720, 570833048, 1059073092, 898948471, 364568692, 612620115, 1037071716, 1037304689, 618945065, 306142048, 31640716, 528688113, 610474777, 197326193, 40149563, 107788362, 751001718, 417241763, 576500773, 702005691, 467506504, 362210195, 576772080, 561473153, 229230219, 640809912, 533186753, 781994095, 430226127, 258298845, 808678563, 356012602, 409428627, 295513184, 994483730, 138447008, 640771883, 730901032, 537773744, 966558143, 628645053, 64476778, 646868407, 361691911, 761464885, 670290302, 760799675, 1000915823, 806047547, 705906366, 414774929, 951685094, 612483287, 852609143, 765956390, 153408174, 760615572, 420694486, 1051606560, 1019774503, 449175440, 1070233667, 254818161, 358489759, 135721706, 219264831, 21951983, 531009187, 445765987, 871938496, 168074687, 94695313, 628012493, 895896018, 238055814, 104388418, 408531221, 624580384, 918206331, 431391730, 731312478, 543405243, 574055457, 434448226, 673527841, 193694973, 968171489, 875213655, 699190871, 276855205, 889999179, 450561916, 873677403, 798753277, 349506198, 1054443028, 687828173, 577907264, 893640475, 308496692, 701303548, 746188659, 867257380, 1012292324, 837580330, 149592335, 686633711, 225120499, 415068562, 762639462, 549182950, 322697251, 983683918, 70023267, 329491555, 256824535, 225097113, 302615262, 260120716, 266044111, 99279436, 395376452, 246009117, 607131644, 662697219, 482709663, 733414173, 678758472, 356341764, 102155434, 900206070, 99503185, 411762279, 629581261, 826722585, 265436016, 661708628, 775542695, 1046313448, 76785094, 466616953, 551767206, 190133605, 151547374, 650195456, 278723810, 110211162, 569529779, 797554410, 754208422, 1052219302, 996505090, 525740268, 943306631, 168793369, 49350744, 529451619, 851874783, 978131113, 267924761, 833713445, 754221856, 634851419, 280205746, 877220954, 320478819, 857443058, 27746342, 765306436, 609045448, 448126963, 75655216, 507151395, 761729181, 188683048, 37496933, 969041038, 969753278, 129466380, 304468642, 875333410, 819809707, 62975892, 946922193, 155539987, 359403211, 180834146, 308554741, 341032999, 998131027, 198327962, 430876701, 692501823, 599737967, 933996619, 994287574, 483461899, 343919729, 833002248, 248152525, 853594863, 1064615661, 596208463, 403737034, 311083514, 418204903, 625249001, 30661291, 1012525947, 828958400, 881946274, 869706896, 294241709, 716513752, 612890708, 360711176, 8179799, 158630775, 665233408, 746460399, 354650882, 236290937, 427227032, 374650414, 832537532, 240433868, 523994772, 229986970, 474246634, 847354375, 608970381, 497272699, 1039747629, 693230371, 17713932, 124700894, 124177613, 787294112, 898910421, 690225901, 230181534, 103469418, 633268348, 1007739217, 268139194, 253970235, 1027394383, 62529393, 502473223, 762010767, 1038218650, 25316926, 509850856, 496046252, 717042559, 885130988, 594402476, 224399916, 834514416, 275533165, 10855473, 387275890, 60471887, 1063814522, 70250983, 889969800, 878761348, 527856525, 1014070351, 539086255, 296382110, 919875883, 766305997, 749031633, 42193674, 14421730, 888850079, 265597138, 303967566, 280863510, 620335392, 433486341, 54201439, 903297595, 648885601, 87058144, 199426062, 1050880567, 838119909, 205383219, 228251277, 443970402, 787525419, 113443337, 567223908, 459621071, 384873382, 164386115, 534014361, 117078092, 800533441, 359856348, 290608081, 360654717, 509235922, 7457664, 297796186, 434565888, 8268268, 308747959, 505946097, 217456280, 918876785, 715266154, 663786540, 337210868, 435771364, 481853987, 530465066, 651832312, 632020859, 332318075, 460717118, 243754329, 993241023, 183092805, 534493750, 146327465, 329682499, 792940105, 608214506, 77283947, 269919412, 793918664, 374539430, 290822910, 963554865, 192753175, 444751350, 855677159, 496239916, 611833159, 198166476, 191327090, 536802842, 940904563, 945573892, 1062404043, 470927702, 485654769, 217569250, 410062783, 1054341159, 400739735, 950893778, 530946284, 456352097, 799672510, 287284201, 426522405, 279755963, 522680167, 881613647, 131698478, 706179316, 321935929, 508692496, 598824494, 1049408876, 75695010, 436226892, 277972216, 673812563, 579041918, 751089835, 425904371, 278524624, 198440250, 985698794, 382510538, 820948138, 997037084, 837721106, 119763430, 256804308, 71250613, 662709021, 936108144, 859386292, 578997184, 136704622, 331011324, 217833790, 779019070, 460036024, 182475788, 509854924, 87645413, 606396373, 445975131, 36796913, 572380639, 304933923, 594701608, 837442421, 850170793, 554619480, 1011907739, 145568504, 849401437, 743167569, 11387031, 83707187, 823207573, 797187353, 170803277, 882010257, 904797975, 675268822, 742655787, 562853077, 1027954056, 1004306476, 978564050, 910998446, 274487797, 736928725, 986313320, 726112405, 793422075, 780710449, 1070349105, 294965396, 11988452, 820859876, 92903818, 953621515, 742788465, 307217383, 344086849, 194369487, 520897822, 876810008, 3437567, 957542189, 301827076, 839980947, 799294265, 748305025, 738513391, 683938027, 388290050, 406406404, 148027871, 353570468, 328124922, 461385615, 109232644, 429259792, 618832463, 746463699, 64952246, 544606505, 122918750, 641633119, 372585205, 668465500, 155911848, 515858475, 206922963, 631761837, 758359164, 944313322, 338383244, 968371063, 257271433, 196967081, 770038975, 134122714, 856057378, 295525101, 756265506, 482436315, 392691106, 482710707, 741510052, 955008837, 518488969, 510346133, 488288712, 645771505, 223427329, 459358984, 161280203, 690205217, 979950683, 888914470, 105008164, 536086659, 899755655, 575326935, 525604443, 28142745, 392410470, 430054436, 473922506, 345588960, 934146959, 768507020, 80113693, 446403933, 26867524, 618869020, 419204973, 494598512, 593786218, 968305875, 403958043, 1036163708, 950653396, 67459176, 817682819, 344479255, 466523369, 925558803, 970219444, 649274942, 788898350, 435173918, 621651491, 382236580, 808361753, 501528830, 749809506, 411597839, 238612417, 49865243, 579324299, 304814850, 282838299, 253176882, 963980960, 259485358, 516580920, 332637715, 1041875532, 126471159, 962154457, 295739092, 676840093, 134577390, 521039421, 881078063, 431059954, 887293340, 158059046, 712161495, 813201652, 820170040, 862964208, 560097734, 591875050, 293730621, 866745174, 859642242, 772083268, 42699980, 643079269, 133332840, 883830918, 717112493, 874558886, 1047162269, 96207029, 706031963, 544849510, 338320737, 239806546, 328844438, 308967294, 524414383, 262928677, 942034456, 1004742427, 453307384, 590823844, 780437880, 742770000, 964497998, 338887144, 65178092, 198915960, 44184250, 423190360, 200106066, 398314862, 185966065, 522993665, 349463783, 935670479, 839462823, 184117720, 834120489, 991962570, 60236004, 202857464, 694533373, 252518824, 472342178, 37595901, 36333351, 204168976, 721818380, 713186211, 598490683, 115620672, 363118571, 325914187, 748699828, 588146860, 621325585, 403707390, 671572862, 58887477, 357056069, 1058641747, 620480908, 455704860, 287070686, 486585871, 841436912, 144547656, 908574865, 798025504, 216653637, 666822520, 189251918, 586637605, 11654029, 60979051, 816187318, 538327045, 403245817, 829340376, 192024834, 1013722511, 995352520, 558902902, 150201478, 37279421, 693161191, 328605352, 1056951757, 609623449, 455500248, 470375728, 641920561, 379948401, 785620609, 321882884, 158403697, 879505453, 535662865, 869230780, 570386519, 502507943, 225300201, 1038315789, 117049524, 723599371, 720811377, 26621807, 283530762, 50636873, 648259847, 725785649, 1060022172, 55596378, 993276659, 201584274, 158089752, 30807634, 441252088, 845810258, 1043627304, 756956635, 589702740, 1040963248, 367248528, 969969467, 146418744, 716857671, 917609052, 83848844, 245385014, 82038659, 856017865, 348282803, 782204069, 943332138, 1002686188, 556536040, 313365180, 153076279, 464494118, 322629523, 925151851, 991937424, 875787586, 163935035, 650086295, 986331305, 177995888, 592983884, 7639635, 954159191, 48742005, 401515649, 858396027, 1004849998, 352748381, 916383634, 626675644, 765775853, 361135634, 22288194, 316610093, 613646825, 300879488, 49495222, 998571228, 221756239, 643344138, 178868848, 159319014, 1012913568, 628256307, 361875259, 183028252, 44310843, 1001451012, 270063572, 423373179, 517956711, 1052460720, 771845165, 156439721, 295327258, 110166312, 82121013, 912886782, 376707961, 705525697, 884352120, 373737314, 412466532, 72436791, 732058072, 451799642, 742872687, 192557495, 988854588, 45990752, 59827955, 541914119, 523033508, 153128871, 249512611, 322041991, 587450070, 952253564, 810190435, 603508561, 767143538, 222807497, 203068443, 281820319, 24614624, 804673290, 137491345, 769614047, 310831555, 91642037, 1039528631, 226882206, 538838710, 932688512, 909610528, 295963328, 293556628, 264939888, 626658416, 782107103, 939811273, 566020823, 182372963, 385705488, 849062712, 313970388, 1064378780, 347521570, 319217600, 996853658, 273330681, 952168282, 421163620, 351029839, 249968552, 276834587, 596573849, 406231487, 350134148, 385574973, 644324583, 182537686, 12890321, 541244319, 581107824, 860931745, 1067867946, 348578087, 257422561, 326968937, 642334250, 35695684, 768911258, 588028550, 274384047, 85571147, 77456853, 518210555, 403946022, 412219722, 996223321, 940393911, 635753354, 943334027, 1066653791, 1007836738, 503424376, 735583791, 265814507, 800650399, 430398090, 773599484, 645556592, 246039794, 582616818, 471745468, 1028496490, 67317884, 836249704, 963519271, 734924953, 844536495, 54977659, 851301822, 812163897, 21143804, 1284055, 922848485, 122878043, 369084908, 377169093, 51984735, 471518319, 940667993, 153298346, 336702014, 295961681, 444487794, 195686797, 770060450, 499606956, 453907174, 377198356, 617741827, 387134336, 838879317, 816858060, 419176788, 707807565, 298278018, 1020684210, 1032899098, 667435129, 964572516, 763896495, 762396220, 79305424, 194373671, 416661852, 537458482, 839195820, 573529154, 1057032965, 398860723, 1045268687, 538766122, 123689598, 113563742, 1064715059, 458629549, 337177269, 875130918, 806800788, 721069160, 773938034, 109364552, 611744801, 25183894, 1016671993, 695172441, 534056982, 398380220, 558023738, 413900700, 173327565, 94776656, 255800594, 100170726, 182183275, 654209659, 424293508, 415385233, 415156967, 286458964, 382972192, 347090479, 241340669, 37945243, 498963339, 869111726, 651212237, 1008554936, 653642517, 690837945, 418094446, 363881185, 598899784, 408714376, 138926611, 382251962, 211780818, 493660978, 313344269, 981276839, 401125598, 918558256, 878790031, 745624603, 445666145, 916158212, 220330145, 539372289, 1022723174, 958880368, 1032148232, 989929166, 932415140, 870140518, 432816598, 166651692, 276516437, 313239100, 990199640, 270356888, 242882606, 290882380, 381225472, 268053071, 821693806, 607969784, 472806377, 738044657, 665525194, 850549127, 1073226239, 885050419, 809884902, 237453434, 781376794, 166675726, 391351181, 253969324, 121039195, 763703304, 442562328, 1026836735, 765406091, 274634266, 52587351, 894353617, 901726458, 62344222, 406125298, 367725994, 614891097, 315055807, 76641691, 964998879, 318251544, 407401085, 314440199, 168254858, 917863934, 735390052, 172089628, 581382218, 192015641, 373505978, 139210462, 793221093, 987147962, 634978881, 242615327, 160277080, 478223199, 899624851, 854309677, 689531257, 587228530, 307890062, 867348025, 277282130, 408485, 638753740, 463919500, 770365746, 1016399694, 292191205, 303479647, 934525473, 926170580, 96805326, 394290649, 765637559, 441752879, 1005911364, 161568521, 104128116, 555629501, 82037812, 171910955, 864689595, 296734627, 1000170711, 301619979, 673344311, 1013355551, 211581151, 800847544, 280133253, 718203788, 560416930, 286165744, 728921609, 794623042, 341049770, 830800084, 640897651, 536055306, 149113962, 226333127, 733828831, 911154777, 203689672, 355354903, 746850876, 742942434, 179744501, 607984602, 793849615, 486280284, 306419651, 142787853, 637628446, 968013853, 167574040, 426622950, 495038880, 843510018, 433892072, 646569701, 65435498, 432681314, 1021007872, 107801209, 710849576, 784107052, 516623928, 168520454, 981592861, 133989933, 958087550, 431068634, 922715233, 760508274, 221590527, 1066052719, 452810640, 850746920, 450575302, 736095729, 306719847, 771325523, 617190901, 554713114, 577463890, 466674899, 494876423, 316189387, 485350771, 651932796, 554225936, 420669859, 739454005, 252063190, 362568984, 62039223, 946757658, 324392653, 836879222, 225432019, 517448264, 848058240, 345514488, 734925441, 109392635, 969473953, 161263597, 549441993, 399255115, 576019441, 62130539, 783266635, 482901915, 772573977, 880918022, 976900038, 767170535, 1021259049, 1002012619, 386752098, 996066728, 747076010, 313051454, 619280475, 370573694, 883763529, 841389609, 161047383, 644036659, 644053740, 125359245, 105192626, 822522525, 87113370, 984366325, 640777113, 454164473, 350455873, 127388575, 282219425, 913236361, 76328580, 1007189891, 15639187, 390184138, 769853591, 866821919, 272272813, 729276898, 30784230, 777963349, 260344360, 929285863, 900386088, 245000438, 41395415, 464631687, 912599727, 563039970, 347548251, 512705085, 105619878, 299591795, 721990819, 529422159, 595027644, 281499364, 34428551, 112886928, 46541888, 914751332, 589091601, 554185788, 423416104, 729428928, 336254545, 994122882, 277460354, 390985915, 1052407885, 348687402, 916736075, 250029140, 411999741, 978098954, 90110699, 149955355, 895760319, 945829523, 610004035, 700560509, 732257324, 865399017, 420957162, 991300067, 990936333, 206082814, 140096011, 313754311, 71997972, 554549611, 336548080, 742292701, 80076399, 1028820614, 864817945, 609399313, 237362710, 490090460, 512993485, 1032015022, 458260692, 1039240760, 900410108, 691096323, 799580552, 480522242, 560884199, 171556252, 1035454155, 876988795, 220866914, 793656887, 207325109, 68643867, 256819688, 292818194, 515240476, 503653659, 772777599, 355236877, 480101414, 317755736, 19355047, 126111428, 904060519, 944922304, 870546064, 47158671, 838897896, 812868154, 439422153, 492791958, 488104244, 492024641, 845180739, 717449952, 233259367, 234333722, 910301007, 218682578, 431938080, 485170576, 874505657, 801858397, 301251697, 341940345, 1072961196, 521696474, 719585224, 609252334, 315324578, 505859817, 626894427, 814555707, 889547939, 890660668, 81030404, 512290742, 836212843, 738859397, 229016154, 981868037, 203600641, 526553036, 730406629, 1050729870, 1026500434, 1001748003, 513225459, 975451163, 129027833, 635168923, 380806248, 902118185, 708828130, 389289274, 291522582, 495049294, 587391541, 492153658, 678547367, 842465543, 479202057, 1049830074, 521470489, 587177760, 947762472, 498891020, 187664315, 111043237, 244031344, 328147194, 427173172, 477145196, 1073314421, 306043001, 577297072, 674315570, 138338148, 572588554, 522345728, 455748738, 793316040, 267026082, 341412136, 930479875, 406067046, 111530178, 15309337, 1015347871, 67266990, 850906158, 758630917, 948559962, 986774666, 799459778, 1004363865, 638260093, 33639646, 848681242, 98304689, 1017954789, 995015724, 926697226, 866199624, 160021600, 458824062, 763903565, 469715987, 921582798, 540506308, 563402485, 126673568, 281603899, 113250587, 284345790, 825173617, 779247235, 472931919, 212599816, 601622251, 241409257, 522887043, 1027823301, 280282838, 513437776, 308943125, 956171668, 311105307, 606831596, 544058027, 1050146898, 45138072, 1045288384, 95461697, 695339898, 954719781, 926945529, 83083790, 328982063, 893271488, 490495080, 221509796, 718464062, 739111815, 95444108, 1055513327, 853079578, 197516398, 50904220, 774320577, 290690663, 539009334, 936170040, 934550237, 921564608, 277806765, 543551782, 436277113, 322323781, 557928633, 549705135, 584731236, 8730895, 773960299, 281217339, 291025791, 877419751, 538460172, 174494545, 81736545, 412710453, 633516350, 240332926, 619797158, 167128194, 954122465, 38802683, 725075566, 87777623, 623696835, 776143058, 726249085, 258322530, 916203701, 134379405, 579384091, 221596740, 27293974, 976984170, 46429364, 911561060, 698115382, 780659807, 1045452608, 555284608, 798632137, 327352875, 530865172, 899405188, 1030808168, 627756608, 958900010, 403070089, 848334964, 152613867, 720400696, 709668209, 754290297, 580297173, 196581731, 660538277, 313920713, 187261942, 759405228, 195637043, 406514610, 847132730, 698997256, 245977113, 629250606, 536147988, 533257609, 806284836, 610902264, 153460591, 996068295, 761448382, 679735516, 43621548, 364729730, 908610298, 594183136, 229921285, 971154353, 456877295, 50027228, 696060545, 172905930, 237918452, 792986818, 358893268, 537620795, 846120512, 318237637, 848450689, 768979489, 429473826, 960800931, 372595323, 950261120, 432638474, 649694985, 972278719, 88754186, 250275563, 83969583, 640590133, 982973292, 205496227, 394885010, 171201311, 524578719, 180110500, 436398768, 648709253, 700974267, 449178638, 1041655919, 583800988, 489905332, 1000379329, 61521584, 571670805, 887440289, 2700932, 1029374127, 404150734, 760970967, 844274199, 477455819, 125837032, 926316072, 891302885, 901652836, 816640733, 410090152, 1070211381, 563797868, 941447138, 489290033, 974281285, 719490614, 384608370, 1006921842, 813313567, 795322977, 83617254, 866378348, 752018789, 42298556, 642497871, 235938273, 586565145, 1016807843, 473174750, 332895782, 320113156, 1058190453, 326259143, 906938518, 524602185, 846323683, 635930670, 697988742, 341597947, 77231805, 745682702, 210924312, 1061877390, 138339493, 583214848, 419575659, 251493641, 380764841, 1052536278, 289539371, 998700853, 403131713, 348995139, 142474933, 122214061, 512702264, 16686564, 710843309, 117027304, 1046753571, 592265148, 150449078, 442661901, 356680591, 21701355, 408019385, 566345983, 816462046, 776229332, 353478270, 991916553, 644260840, 524364961, 553836566, 434750717, 1027823344, 248847013, 261395205, 726122640, 189299890, 863971891, 148297657, 101248980, 291919847, 744331094, 201990968, 398684344, 443117690, 581251493, 610462117, 760515980, 340378706, 320858372, 824211594, 206463534, 847962034, 365797841, 1033670308, 560491659, 450171378, 557716526, 696821612, 357414582, 836912580, 470495426, 976975182, 394276658, 528373467, 909038823, 77863243, 1011414900, 383929824, 59095674, 134208704, 951195189, 672726644, 673206424, 660828962, 165012944, 320072615, 58856596, 737841147, 824462762, 103343769, 789637816, 557395637, 783968362, 291865537, 686659007, 867316547, 482633220, 370459330, 363410259, 1073081246, 141120324, 8008496, 333177059, 1062421263, 294592980, 55309496, 690523675, 121929722, 206309569, 138614612, 781846544, 1040290425, 727493506, 788944382, 392704091, 994650353, 727741617, 788713058, 864447120, 407419322, 78420864, 694274946, 171053078, 948216176, 848412779, 128747646, 936527254, 896715119, 503784820, 98568955, 143538931, 985743572, 57171438, 123699825, 123698919, 907473147, 1031049481, 362805208, 358768329, 99307165, 803513011, 885600340, 768489846, 530377025, 675840423, 714833719, 996987584, 982976191, 318836153, 156610562, 31293448, 108949139, 493601417, 71561383, 493761184, 557131772, 960046442, 538522721, 165645272, 81986214, 290445053, 547187605, 192059602, 864654126, 858613070, 923918887, 507234396, 297357204, 912283169, 96888295, 286587179, 1052928, 987390657, 805082528, 856707045, 77888557, 581845489, 143263292, 422850961, 1001085177, 520793760, 195420856, 292309704, 149125126, 1022784196, 367009950, 944776269, 371586555, 854744077, 21505657, 85773952, 233983394, 71909837, 360811004, 153926884, 139525779, 189709755, 1055403023, 728829114, 264946647, 1030028689, 850694727, 1035992081, 939252093, 680869508, 538487901, 102684421, 104696609, 556377608, 931415490, 873150538, 627300277, 68262956, 835410622, 647809473, 452450658, 634825830, 516309279, 1022752607, 253787656, 735589508, 1054431551, 773977082, 404433091, 145962877, 1008561520, 1023877816, 398687380, 1064847850, 498170227, 347187263, 61515469, 1013632809, 581064119, 1052007257, 1068077394, 196207104, 251550982, 362719363, 912727497, 659741394, 377537045, 1050707998, 724013260, 964986641, 708942374, 821998590, 1036555147, 581508263, 565059937, 257539852, 119246840, 781699549, 355980296, 184851505, 732567733, 38520610, 1003312036, 277860218, 153615422, 874484631, 348936996, 659400154, 85347925, 911030499, 130378575, 521018857, 532112031, 534430911, 735771451, 67308734, 402104543, 959452136, 739107024, 92148479, 390620090, 3229128, 460609195, 1052713702, 343112649, 1001967252, 862003018, 461830298, 1068191061, 917192788, 634047843, 889392567, 807345843, 329790229, 878798616, 931606373, 780432338, 215413984, 341733237, 760810122, 6240676, 258856360, 58285577, 707595585, 899451345, 212733869, 249522230, 612904049, 947410746, 327798274, 580072518, 988648373, 949051718, 42072609, 501170589, 321892748, 914452294, 572164304, 341243717, 241448476, 1045057871, 918021538, 710840666, 861626535, 474118174, 731860028, 984053578, 210989565, 503179647, 984228371, 258845647, 156820006, 389926908, 164188438, 244070512, 992864055, 147046987, 573370502, 1019068562, 974262441, 578379197, 72776730, 560830320, 687755526, 878374566, 306994631, 963962823, 591585853, 1056915682, 570187991, 268954040, 472008272, 931180866, 1023588464, 575591390, 1059892599, 945682938, 915401200, 777746761, 476632720, 711515934, 853383583, 517891444, 1070979586, 317441147, 76355601, 199167724, 601073700, 696893339, 683656396, 879479446, 350958153, 56999412, 92240937, 592773354, 167670248, 487276260, 512289484, 67151096, 639535799, 552843405, 659961334, 1033941141, 85653306, 355835922, 364127730, 115043124, 140850505, 516747316, 915844726, 27847732, 797123886, 949476309, 471260421, 943125698, 891217591, 843586099, 876976272, 157343900, 336050176, 805756942, 975762428, 541123537, 664367498, 381637493, 234851065, 22168529, 730300367, 326190349, 346050917, 247191035, 242463233, 780441414, 253907171, 42631825, 465943235, 872040722, 27328910, 649715427, 458832938, 59898802, 109271253, 899912226, 893761843, 98516272, 858052492, 983231024, 201644176, 559012605, 180326619, 83788962, 348175647, 57143063, 257108217, 430385878, 785680220, 201776160, 506671312, 101900625, 24489043, 586649984, 109204154, 1043426448, 757566496, 876517045, 487125700, 352640113, 601753736, 793420385, 696769196, 871633534, 41234380, 151882252, 401828548, 772211287, 184752749, 487648402, 415682806, 740837595, 678497099, 266614133, 147954683, 779746973, 557816384, 245315923, 934141214, 166432282, 643558077, 821317501, 752477222, 1049665626, 254933244, 871572804, 711726136, 203010408, 607811751, 112252740, 769003124, 569863252, 137229722, 597132062, 94589556, 221242173, 474118555, 621252595, 397333851, 270597382, 672161633, 689160573, 775650653, 370428177, 895178185, 1021376059, 1017497366, 217838673, 827568685, 138731236, 613999314, 885797542, 805031986, 708246188, 730927742, 642292567, 522480345, 697313664, 800884804, 130351210, 715387705, 249048566, 106088597, 828642733, 478591066, 693732615, 866088248, 189148331, 136757735, 1024751349, 442988729, 1053710183, 631210583, 683800710, 889431180, 336638634, 243695, 1004189273, 194505347, 783207148, 233636023, 329065375, 991335541, 506953198, 577398025, 314171883, 506346747, 53762515, 47896914, 1012999800, 494651356, 875380037, 304043169, 540291121, 151406264, 1014827772, 447981875, 914105800, 538957165, 990508425, 410926874, 255827422, 709073857, 1011612921, 389742852, 698483748, 103593144, 1068432325, 628421526, 891883156, 235951652, 425763673, 706521733, 858787422, 430408844, 1018326432, 932805400, 893206608, 546970792, 264640097, 514430075, 606316940, 871688727, 496170075, 576966586, 340470181, 428942996, 612510737, 880027661, 100182, 841335768, 574639859, 653322739, 646379250, 152268876, 872121504, 476712118, 790916492, 425574736, 848580878, 628886113, 875229104, 629925713, 40339480, 413792091, 924355336, 469087597, 315772618, 447512012, 692774097, 113672453, 184932577, 900920625, 282897351, 459847922, 535565568, 471063840, 32844872, 627645781, 875969890, 720432903, 673180975, 446338374, 1038970447, 3552719, 612783131, 1054195937, 444257706, 19444367, 858068767, 267178690, 643371006, 491038873, 293857420, 817568037, 624375568, 979471449, 17904730, 617746406, 635029492, 45611069, 98379293, 745175660, 256932343, 862331001, 747585322, 983911892, 127702048, 882162905, 85309366, 724318157, 876045838, 55933527, 709566263, 809826725, 493299732, 391146931, 958495602, 966714275, 641162237, 448151734, 374179660, 950443593, 330423160, 875441730, 223835314, 135550858, 866381231, 920485818, 626988980, 131211539, 297371292, 53607734, 1060498515, 455196551, 142986829, 414133508, 668520150, 629997040, 95692511, 17910990, 39370376, 373744768, 780518224, 717326893, 365509695, 1021130302, 446739671, 926195390, 553634308, 633867646, 798030814, 9518160, 716094186, 330376869, 31959725, 812817356, 830397094, 105017513, 132232389, 334321255, 141247377, 44922481, 667291681, 642642271, 789516589, 806599324, 235594817, 42949544, 991948226, 645376834, 110119365, 622209228, 229009308, 922471015, 607452881, 950440543, 660610230, 173785509, 623615828, 919715100, 859643229, 922020288, 576550049, 211157786, 569143015, 989157218, 114091065, 266138692, 487372419, 776553451, 842033275, 549900708, 3304857, 1026063733, 843975458, 640405793, 707435166, 452979788, 187148873, 1002178648, 304272831, 641037757, 795083055, 551302165, 554436852, 1015651810, 767695402, 187377853, 173902945, 1032388129, 636547259, 866662237, 816973370, 852345691, 174356974, 369724358, 296832391, 557741917, 132029128, 974097909, 248500932, 461932929, 445192366, 119241676, 680095134, 928910958, 967513382, 768467977, 1020349421, 383473128, 757833323, 568005986, 616120970, 528153919, 176478795, 182096914, 174408743, 790634615, 304923047, 972970607, 951448438, 131277801, 866574303, 337250672, 1053003913, 553543569, 859856519, 438283510, 325345348, 47638543, 323918653, 597489431, 67625967, 636269983, 464119171, 413897624, 725148130, 734416732, 973823217, 740477664, 905157575, 881338482, 4416724, 380950482, 765499271, 483635334, 995211955, 525842198, 252472603, 330870978, 678556840, 506090153, 703870704, 667460535, 81366754, 468158404, 714927162, 886519839, 830691943, 1064503512, 952319240, 282239609, 1072473986, 90705998, 704363577, 433772830, 687233235, 875693069, 694743299, 908032907, 116660703, 26029535, 27083107, 317964799, 527014231, 1048677440, 1006128946, 563072379, 409186842, 733293316, 706543871, 306059905, 547612345, 842056032, 211010190, 220701039, 193647656, 747101209, 349099612, 560024455, 862701273, 584220099, 1063819063, 901092682, 1041011866, 294908262, 558424261, 928446355, 185153046, 978122462, 374530555, 533319116, 581084748, 721368013, 570548560, 972236772, 179368007, 777212217, 236303019, 915788061, 737052485, 33177656, 83519945, 879641009, 899145470, 773682867, 584026731, 138426155, 714558330, 845375790, 105258792, 626252653, 730931359, 774134060, 446105690, 508686410, 91508018, 955536985, 1026710725, 587331648, 99660532, 1060687829, 260748236, 340484556, 782376725, 219395940, 760303762, 985608263, 308612382, 837165720, 572749874, 432243039, 263798572, 743550791, 212854395, 802658761, 628106616, 644849308, 101720835, 577824330, 869763111, 18171774, 1008116480, 57562422, 105294263, 338134804, 160063268, 409555934, 517536332, 816453355, 637234563, 508465682, 1126490, 1049652969, 922023803, 1066683412, 167937063, 599860599, 629007556, 1050415897, 1035096174, 826720160, 385348600, 658094699, 27109136, 954496080, 1068542749, 9645733, 786750612, 245586809, 70010616, 914375513, 235851866, 518611338, 925772838, 750227943, 1021666217, 282623573, 837856989, 883057388, 773715339, 766506724, 768346300, 354782542, 839092118, 882418638, 579106489, 677438591, 879141085, 576880381, 471512247, 671156316, 920953904, 547602677, 181267625, 6490862, 999001528, 170726026, 81393415, 996182528, 964084105, 329834233, 478205182, 558483873, 439780999, 743154139, 963181294, 22163843, 780556681, 113458674, 281467646, 658303777, 384492326, 67942899, 954706229, 167777374, 450116987, 443864305, 201308212, 853922, 767799561, 902640658, 281030867, 192124995, 523141951, 606153577, 803356757, 43477961, 856890128, 9807203, 869847639, 658457486, 738364101, 89070783, 818969757, 1014903118, 449747361, 914640370, 195140964, 221623844, 1027395154, 905567963, 712308065, 687946800, 952323411, 1000539583, 617989638, 862394919, 57278191, 189510420, 477444648, 135916551, 828287595, 285171325, 1046251375, 943347922, 990466815, 876421856, 1040168500, 861480881, 53403136, 939351988, 239419429, 53405242, 981014308, 879856109, 615305725, 786280390, 880744539, 270261899, 124066305, 378719299, 270328430, 38612432, 305051513, 289072487, 997699588, 70267687, 787876899, 364988606, 966739275, 357075101, 213061255, 540291282, 160685002, 728793356, 440241897, 120956014, 85802581, 420272385, 443020818, 839810985, 389788407, 24115562, 515423260, 940776373, 850367732, 310259251, 199568651, 888682373, 250102500, 272878249, 113483609, 1036891146, 1003200415, 714602819, 74301664, 941370081, 667217405, 687461775, 456498163, 681865454, 122516027, 377113176, 101701312, 402194174, 668910487, 124875268, 752460573, 642469853, 405917745, 67699950, 357173083, 142867047, 948947232, 643727883, 260335852, 49679577, 1014438596, 237122804, 854325049, 556896900, 88308553, 983266960, 863928288, 193966563, 240860885, 494301114, 696528664, 665928358, 730671991, 477094183, 436444504, 361117935, 117146594, 652501438, 9505352, 75893078, 1042524787, 116013598, 511559078, 18843953, 448019842, 258101559, 226086141, 966714337, 777696321, 564927485, 643584007, 84489141, 1043977517, 338911861, 302501053, 534329115, 104396911, 534782370, 1029345247, 655720181, 950732889, 490649805, 452118196, 52977997, 284908857, 1068768903, 808663208, 136237970, 1061631900, 711579185, 774324151, 612124713, 885887100, 254490674, 968602585, 721193626, 208262343, 968064597, 839534818, 895955978, 27157655, 557162421, 669094966, 288433636, 865134941, 152274944, 255524069, 814640743, 685029078, 262423889, 365466634, 425856906, 717342593, 530441274, 435121880, 943462074, 717866497, 649642977, 357645544, 489795184, 611180319, 351707650, 1002817688, 992464967, 488029664, 873301787, 643533734, 922145757, 730571066, 849989376, 443212020, 751204461, 794904966, 898569121, 404347089, 607207590, 693079445, 430739563, 664251797, 695396786, 49078196, 295595827, 792938259, 951680083, 835940058, 473339586, 775974713, 52697265, 1070821486, 846880310, 392325690, 609868099, 788538298, 1025952363, 730715779, 11836824, 160231433, 772448588, 519348737, 591906716, 702998120, 44320693, 1014793058, 328554269, 529058204, 514943414, 65673502, 422388786, 727358722, 509961086, 127460740, 46798567, 756198058, 738559358, 412489865, 1057233558, 265250245, 876352441, 528632969, 120583980, 415867061, 395080827, 340836451, 1025806514, 478669458, 152603144, 772771048, 547331399, 581569033, 939169362, 139243546, 825512435, 462124702, 93160332, 850945560, 894291691, 716285687, 913962640, 567781687, 983690616, 178994913, 991905859, 696374527, 240930337, 709507334, 365862090, 1055838209, 546944147, 8671470, 554357064, 929552734, 576077522, 589108516, 151899313, 505539030, 635639998, 588038043, 83282190, 927754744, 409255344, 427372425, 1036544880, 98222457, 592580692, 1072550396, 813056799, 963085060, 506012159, 206707589, 103975080, 353058967, 552528283, 253384326, 1057077821, 520101920, 32356779, 227441856, 991293119, 1030252281, 347584742, 665178250, 695550666, 972365574, 1059937370, 192450245, 435177508, 1022542548, 658928075, 305318714, 717035759, 306664158, 253069783, 7470160, 252317914, 435628925, 429536119, 641446850, 161012551, 66403191, 219973055, 378091579, 406317551, 704154594, 578096310, 482048768, 1042783096, 237485434, 104853781, 147469548, 37070685, 752847913, 960708607, 579719092, 1030039844, 444369916, 987256117, 543548941, 800132530, 647224031, 668874987, 1005943002, 749014381, 918706538, 930616306, 37377957, 361856635, 1037926356, 111447959, 38756578, 476249580, 179633603, 54977729, 1032602165, 785959504, 541277170, 708191245, 650414792, 221655438, 412407081, 33418860, 328595457, 62162255, 2394210, 516271370, 431905182, 161582819, 810064375, 472450593, 766430134, 250729395, 497369268, 183379462, 288891885, 281875021, 588729946, 865039826, 270273086, 970820102, 447778455, 905011331, 25826440, 369546070, 1011121602, 946229366, 108687807, 436727382, 690714284, 978063900, 762330442, 446225876, 847374098, 142281141, 846484560, 55383292, 829100700, 732158886, 291703050, 351487190, 1037075512, 756885845, 274515211, 512775353, 1026257950, 178098471, 86951125, 404702731, 1061392765, 748145992, 923008441, 203549803, 558075918, 694367731, 955273200, 505731850, 138174725, 990095292, 204947366, 188511435, 11890937, 44909486, 959392558, 489459517, 735122944, 1070547703, 237881277, 712794856, 758275122, 180020869, 84039543, 594600028, 784854861, 257718867, 213426040, 852627097, 929241285, 90018272, 712602126, 149261807, 1002036801, 797330845, 731931888, 172888987, 164084211, 461851244, 919076723, 30225124, 723134838, 472863888, 361379736, 28634564, 120883041, 1018299105, 408265875, 343774940, 114671501, 179242472, 706416390, 188456608, 579404858, 222135318, 581868555, 522941741, 389419526, 305031884, 311533880, 734307053, 225066592, 654101624, 836977748, 768198308, 331000306, 465659881, 751095663, 1071321255, 515884146, 363158875, 403994250, 1025247873, 308774558, 961963311, 230634618, 113530398, 175032790, 330124758, 65622916, 820533249, 872626252, 900346729, 772767504, 701640849, 742872648, 869921661, 330423607, 30985147, 1068625242, 687780301, 473609251, 1000945286, 658473900, 425031663, 1015039692, 357387223, 1026679042, 404890861, 72470453, 548883196, 921332374, 294932084, 459892110, 98684483, 728746421, 808471134, 881255777, 210075983, 690794740, 281573498, 852603630, 700544242, 328492549, 674414380, 130942143, 13232445, 683315832, 742490648, 740934666, 970578671, 50713123, 870125108, 728932609, 981398209, 89898831, 201161036, 582083434, 968097927, 346781889, 867674719, 220139984, 812352662, 324982021, 979242083, 171023728, 965347333, 432255017, 302498208, 116888162, 722877075, 722160004, 687453395, 1021831382, 773346845, 965436639, 756633032, 456085501, 757505762, 856741326, 829521073, 632988145, 135404350, 949677690, 350003616, 145000736, 205003157, 905649621, 815191763, 204507178, 686382716, 760932521, 747055433, 309071625, 653127417, 289259420, 356849946, 453122582, 762392800, 549811169, 431646923, 217915463, 391563326, 674156890, 493307070, 639106521, 99923628, 301193332, 441686387, 564385191, 684533512, 42514012, 60776943, 348275216, 1038222068, 552125247, 603423285, 920639137, 505207767, 389888120, 1057115470, 382813033, 768616385, 161230696, 222459515, 1061588368, 211245643, 196068045, 214716201, 524788740, 193309729, 1018690847, 604662919, 181732876, 648659295, 671032680, 762878730, 767408099, 877530334, 1001409203, 209392765, 909267022, 626095561, 227866755, 548968883, 37528839, 432229876, 742085132, 506820165, 838821023, 774709699, 377860442, 231384176, 808128, 911694356, 439912252, 520185194, 440268250, 411463881, 12545577, 677955320, 406091981, 333018727, 262325391, 838878277, 500864014, 50589688, 819204043, 410269397, 379892228, 1030115903, 335045019, 352051806, 149188520, 484402648, 624173633, 980636755, 796480723, 1029139020, 975001168, 382810093, 380175171, 943156876, 590095876, 610927124, 969057845, 749241936, 199296282, 303907878, 789849638, 588665993, 543179585, 881562412, 215173367, 889982159, 777072495, 625462288, 1040109717, 490081163, 393132840, 999899540, 648280553, 470181313, 647334726, 808896266, 291401850, 930908144, 472572692, 43373040, 1009701894, 1036319648, 313445073, 256411464, 371303929, 726915452, 793680512, 352466095, 883172252, 928833666, 663678396, 436919046, 873252426, 613161454, 314386473, 576353072, 62077609, 84299084, 627353458, 277334114, 11908720, 82274586, 746695487, 793369047, 153566426, 947479332, 172780679, 356913663, 1020720214, 606029612, 480257450, 726820840, 635349339, 508723535, 361076935, 93285381, 891627292, 973414354, 102160717, 1064508569, 369448941, 440899524, 164329878, 576573878, 590518820, 615364990, 162495379, 383511459, 791551903, 1044022607, 422475896, 217530852, 387344838, 256802984, 203016521, 752655034, 572764653, 325267462, 727412112, 334673803, 488882441, 153137206, 717707881, 867206484, 83908892, 211783381, 700428938, 888709273, 556771890, 292365568, 814205207, 661330031, 1021368058, 883288209, 16532903, 943317983, 885422017, 210258637, 807723294, 35511134, 38824968, 656101857, 854878537, 1065785816, 232041893, 358862324, 1019341193, 906071838, 593582367, 831309074, 196133583, 1044719655, 343436202, 80110751, 957550185, 520717322, 962846290, 348678182, 662340385, 771935731, 715055426, 1005661990, 960259429, 963359987, 751037315, 395566154, 529552441, 812042622, 947808979, 793704235, 186053505, 885449942, 893236369, 693320483, 495459368, 819569477, 831883108, 621210826, 695021728, 1067016193, 278468085, 961669053, 428380685, 217643985, 104896698, 430504374, 359291234, 50766021, 921885998, 205178452, 204242928, 14009395, 178272567, 119868593, 421411119, 648192174, 902402122, 494619918, 400348158, 875153534, 297813934, 704405531, 208588280, 1050648450, 326748652, 958041057, 375535259, 34938690, 56104103, 5954405, 152964050, 624804151, 524176741, 909446789, 544197795, 561277856, 63037477, 1045802480, 669858844, 975160029, 49114690, 153981787, 454729901, 89468500, 168778305, 135464152, 1002874701, 976431807, 967856087, 291251628, 414393972, 837429450, 351965359, 382393975, 933254763, 296138110, 19265672, 159270004, 487071859, 1022813930, 1051193802, 108690391, 790776665, 290134607, 709718810, 492686581, 611869261, 856394649, 363011751, 663334011, 215173078, 802680935, 564130269, 811253244, 105307724, 207194843, 17688079, 298286978, 386750398, 681707029, 145653281, 575675299, 525840754, 259391026, 164480445, 372786784, 258181828, 865680608, 120112363, 705416228, 110507689, 212832706, 105456996, 887965498, 349021357, 119302379, 928513565, 622238177, 580420761, 701935064, 536991903, 671051126, 80670464, 428015849, 703676297, 1014058148, 532907006, 950104027, 2624226, 24360589, 330118155, 900505559, 889171265, 601553069, 559239055, 632081902, 307255827, 48957135, 267637010, 1863848, 953872790, 725681896, 195347342, 1054241265, 735279394, 1044131882, 369014626, 493064831, 291361021, 574038177, 696848510, 841260871, 548896215, 599425258, 301673877, 504114805, 712997263, 35502841, 366423531, 985399085, 235244888, 353262450, 507994648, 633184256, 705967252, 581732697, 289976006, 1059062141, 948162993, 86520744, 395430943, 1753870, 777839377, 832367474, 752689569, 817453156, 9910982, 858066782, 167007869, 1045350526, 461761877, 197283238, 288551453, 569980645, 950633695, 148345660, 935157468, 949427336, 392864220, 126290351, 677923309, 865782774, 944947481, 684458941, 183215596, 351184830, 115943387, 1022312865, 967345410, 1047031752, 677213465, 4366181, 579467847, 981190672, 218385062, 1054088754, 600697187, 57943852, 769110253, 745959688, 487656177, 6713453, 865164718, 430093473, 868531849, 733606698, 532294983, 331173414, 480274600, 650422412, 297689278, 101639422, 1065209753, 545169071, 524597666, 1013435356, 82375020, 372971165, 1071505660, 240479672, 403509589, 118567679, 367455195, 1059514563, 729241006, 247593286, 359179504, 483768154, 198599189, 867380351, 165669270, 934779648, 408738170, 653555593, 1046725786, 1059065639, 916916216, 111104287, 984965728, 476241051, 770490241, 183764976, 953845900, 632389349, 850994259, 407682331, 256662109, 633166134, 988553724, 373945356, 836918378, 184534535, 741790803, 1000885135, 730243593, 433198279, 261202178, 390747838, 758194067, 848054784, 215214177, 863115723, 962841945, 476351237, 1011204353, 490256747, 820813483, 540718218, 622570569, 213374262, 799458422, 606181187, 256015071, 527995632, 70437295, 353056643, 483150639, 200941893, 11153515, 774848454, 53772264, 544635976, 704090008, 171238084, 787752740, 760272287, 2376793, 488411636, 403552256, 757349173, 403499904, 186916341, 691121865, 853343144, 1036747187, 327443393, 670590158, 337040363, 268583651, 187445999, 972062594, 115483741, 695669156, 979723845, 502953650, 873363102, 970644710, 467407862, 422812421, 436562511, 769556176, 573936191, 155119515, 983175626, 753493106, 818202576, 497720151, 429503021, 866531287, 30144211, 1000672632, 1043195468, 377252753, 894065326, 11805267, 822849976, 329097445, 514234086, 123575513, 769348406, 881512048, 317282814, 528056202, 628768843, 456811323, 495376772, 398227962, 483343035, 821286109, 827177352, 616585079, 755220677, 919349146, 985469079, 470573653, 164097686, 689624416, 65929115, 832034886, 554269666, 932453603, 605880246, 426381515, 231721993, 94466363, 296350031, 782245353, 492679045, 948095368, 924607778, 739789870, 1011561275, 264159316, 381172346, 158092176, 723498166, 412296454, 1000444120, 244158886, 253090938, 694622697, 792792932, 625781167, 906780816, 302909486, 384637713, 771460818, 537930938, 38578683, 1038699678, 397760386, 447876162, 622104059, 530087102, 460868860, 496944466, 669176346, 1122158, 874150994, 361816684, 2684792, 491356367, 126770725, 75932862, 476055504, 890255209, 643399609, 68060543, 535282881, 819868749, 426721524, 849890044, 685883218, 80492680, 560521953, 404239318, 733646468, 788590801, 313732400, 232818392, 694394656, 422360171, 1062194428, 268057910, 154299247, 817732127, 924568366, 556109714, 478864736, 708085787, 941727133, 293537377, 506349144, 220848752, 388812235, 504178172, 1068878765, 721514439, 433896588, 868076715, 553796837, 621630652, 1031979512, 975993671, 19121808, 697885336, 524415921, 469598679, 536355176, 607828685, 1046830475, 1013854168, 1067001676, 268731830, 317651715, 293640785, 214918800, 102323609, 959531289, 278393830, 348300068, 285604568, 158305974, 9711275, 765906592, 647195931, 893148427, 305268728, 89855923, 271800398, 766759453, 125332767, 555355053, 471842026, 832832139, 925478292, 801831386, 175565552, 377755773, 987920352, 960420951, 899752064, 1029637234, 748306372, 140772897, 484372955, 1026815044, 1032640480, 327263102, 803230270, 30025374, 1030156813, 11465996, 697878637, 296059015, 313469425, 1037157213, 353397896, 846213516, 190683940, 150519443, 661709000, 1015808721, 959058461, 132085002, 428470742, 1030282974, 620572739, 562561644, 567804983, 936033254, 70648265, 379457877, 445212412, 130072811, 495473252, 446771585, 910659620, 451701532, 208348490, 23240761, 423682774, 608637463, 644242493, 783968045, 899419553, 9279007, 33811840, 573199261, 595388895, 833705271, 89741105, 604412924, 1022930158, 804428421, 85300434, 428866728, 118512934, 183509411, 648768164, 402934510, 664572541, 574969731, 12812904, 760824524, 26873173, 827772564, 586388830, 1036394265, 879745076, 644388928, 151469423, 229552932, 1062240990, 890631215, 285554656, 171340409, 761784790, 139832169, 433157585, 1056267242, 405456051, 592127424, 186333407, 746527153, 832004161, 1028254743, 906023236, 365491396, 102239866, 438425260, 411997046, 619098509, 829656820, 162005287, 732778687, 861328515, 164970454, 793132511, 141455665, 821886921, 261693156, 733177676, 817412656, 315630069, 856494853, 793027700, 694170400, 546043488, 130476658, 791821156, 612358338, 901948819, 186690161, 261624032, 838384357, 627704093, 490488406, 668825435, 870715235, 122478388, 964187722, 932960841, 576341626, 690956973, 802373600, 276335634, 857429953, 637182711, 597147604, 936317544, 561481558, 905006534, 216950847, 773369687, 913595017, 808869818, 508935589, 568175159, 908963386, 886938744, 534302983, 741895721, 51367094, 700895539, 226948910, 845227638, 248593280, 104501375, 282244865, 749610229, 365078090, 60647631, 556485031, 470137299, 766759489, 905746476, 882413768, 335529669, 217078841, 1055638483, 731608161, 1021988851, 852360642, 44014766, 21809944, 505401854, 367831504, 835092007, 321331822, 971428500, 1026206678, 244315526, 779295898, 670576168, 972892180, 506804069, 17808101, 369912144, 194876957, 139130707, 921002853, 780194528, 363098876, 876261918, 783647632, 257057142, 117654365, 437988422, 905412491, 500299749, 387027100, 73157906, 249088912, 602876564, 720510546, 883130522, 920013553, 565472830, 192548477, 880910940, 598926117, 37330951, 157307696, 32874542, 416049261, 328288114, 311388246, 792937050, 513866535, 413620343, 412339864, 698602858, 783471948, 496879562, 1013611972, 475963287, 120345698, 429464378, 496258818, 816452860, 97201594, 545031180, 274043834, 918338003, 1056630435, 383719524, 1062730864, 874665113, 142281634, 1038135795, 782287882, 1051740324, 857667976, 660392424, 978475804, 800670863, 512521644, 851202374, 359320811, 169450709, 815137886, 376436806, 814153981, 351048398, 85467218, 756450929, 149815788, 504828217, 553237820, 40624730, 837398485, 811551155, 9517563, 351705055, 460743887, 553850640, 557778489, 202014421, 165707499, 331874289, 940361492, 801871111, 943885234, 1000338231, 175950934, 522007696, 981716289, 319954316, 256853947, 879552692, 309913757, 257369177, 847819176, 822658580, 876226652, 597266924, 583713028, 398485087, 493739543, 5406716, 8870938, 554136742, 994562633, 295353884, 771973430, 433173726, 497589628, 541306080, 834701082, 675678100, 633313319, 465463485, 229098926, 892651520, 64195706, 376718288, 779423599, 236526315, 75269974, 488270580, 200550306, 735084842, 892825101, 459352355, 913482830, 924666932, 146918674, 817313468, 539470429, 669045292, 279026266, 454045623, 968530668, 872658160, 747687825, 1060154540, 91053171, 572086461, 578099542, 331829588, 532970639, 425953615, 516172628, 534288243, 887018343, 913061705, 909447917, 323770847, 1023870130, 199013076, 685667598, 1040833912, 24032840, 751688801, 1015668747, 872536581, 114792536, 357189858, 57685560, 289906062, 683026795, 684982807, 934992712, 238176574, 267320397, 849419108, 631987249, 573796706, 439536368, 326928477, 635013264, 884555056, 1043174948, 568524187, 720711311, 558631223, 760097927, 498489692, 134616845, 873885298, 853734273, 85371565, 623013401, 1053948311, 9360194, 734144083, 623924118, 908455730, 54344326, 265509775, 611259201, 786000141, 836123950, 428767967, 823655617, 204866428, 863900784, 933951921, 476170885, 396124435, 699126907, 213341345, 742525966, 608843113, 259736067, 786100836, 1002533410, 364811789, 260785935, 11230918, 931787745, 938383991, 180759456, 526994293, 438935101, 948185061, 112440689, 698731578, 583955408, 408696002, 537251166, 414540601, 573449998, 347473455, 330493234, 945877185, 915019013, 755396553, 338238871, 544476468, 588684650, 915409356, 1038512024, 1047867519, 1016631228, 344396040, 187715515, 1039706234, 298949084, 907286306, 159700728, 100441160, 410644346, 556037229, 824709999, 168814356, 388617877, 400203047, 628623414, 588722753, 313873298, 626947199, 594859467, 400763441, 298488626, 746790462, 491477872, 966000164, 304223990, 633776642, 86224005, 1012817860, 938396745, 1028880592, 15263903, 838731605, 773499303, 644254334, 460370318, 602292942, 24452945, 943554929, 951516539, 158077792, 48256879, 220531562, 665878901, 98125157, 968968852, 1046986876, 473002859, 347687857, 884698945, 325520041, 97238222, 1005968921, 667662016, 951776238, 653106768, 43118811, 192988540, 257119850, 177063350, 915923789, 908251008, 117039118, 816292136, 769176582, 797303663, 438373007, 775307085, 1008618746, 663707568, 203174181, 60293161, 439775023, 1001249182, 398061085, 650368141, 849676010, 510173329, 585562051, 639698857, 17059415, 205777725, 733561061, 306800193, 375511009, 228881401, 737056528, 134786738, 71980937, 888233592, 1054260901, 532959020, 215503859, 1049699561, 1039772427, 594394627, 75385499, 1009016057, 907992515, 81399820, 1002445194, 330895768, 1027205493, 840459681, 639851336, 389620313, 747771592, 440467320, 665636009, 153372378, 817376837, 674347494, 293929119, 863895345, 932377204, 703230512, 639827487, 1064757718, 211822530, 949948614, 761755282, 113959097, 48909233, 56843455, 518522676, 117657900, 481609017, 878699521, 407515437, 980108573, 450564188, 937438578, 374603460, 674333012, 945284239, 883624833, 498838650, 978393502, 721009097, 457778155, 219802090, 778534818, 535479460, 797687443, 825961168, 212275440, 466694770, 950430016, 641882046, 854113395, 938756022, 740974182, 742584546, 778729027, 910389953, 440693659, 339812942, 857673753, 585499001, 580664928, 986639292, 490816289, 447625769, 683575058, 364371772, 286431819, 479976411, 93316241, 793571893, 671394787, 515504982, 202490924, 485805820, 190040127, 591894239, 548352168, 4354112, 307304050, 107051263, 972989741, 660405220, 1054451628, 912967812, 412360940, 567612765, 333273497, 516728005, 596834831, 340580942, 766651602, 813127045, 451477325, 499681206, 536900553, 194166815, 431440104, 135898671, 612467169, 912482473, 716938574, 906996738, 8031620, 386848072, 349071572, 132431369, 333637232, 750101670, 402694387, 413715, 701926991, 85356361, 493789728, 769565325, 221238622, 746823861, 571488962, 676235645, 207694743, 456568291, 166536853, 200116195, 1069493456, 13342798, 297335776, 967342725, 732896176, 263886772, 600734409, 1030659764, 972988553, 819581758, 673294333, 788907386, 866872506, 734118155, 81257463, 314716477, 73126222, 143576060, 709787435, 826579820, 434814544, 251037080, 189654601, 401588632, 732204756, 303172452, 286806779, 1049568994, 773886419, 416817136, 210128857, 278047393, 518885691, 563339456, 872629319, 480444745, 764803439, 1006954395, 810422594, 670209660, 308716342, 890728004, 489743286, 556402354, 667194625, 927247933, 210082129, 245406854, 457661163, 1023420185, 959630798, 911061253, 685913131, 29575906, 381953587, 148328998, 1064371461, 380395921, 1041345282, 907846263, 164817652, 311020694, 888787112, 887946351, 98904403, 946872937, 403794746, 805114147, 253560814, 871828114, 83164163, 217105054, 930787601, 203352252, 1073517139, 411069170, 731505698, 880193776, 821229704, 515881721, 186008372, 875360698, 204903694, 215807602, 378473840, 375713065, 1036378349, 611084216, 75380982, 1052743618, 896944652, 960198983, 970846844, 929817574, 430460751, 691239132, 956655496, 912036193, 991469923, 1024682850, 517457538, 372231042, 411985416, 676232104, 644296680, 91932409, 849264196, 653918732, 969008035, 63556074, 239312165, 297590428, 229567942, 266788388, 937104343, 776421431, 1010003788, 990198469, 825392757, 887192496, 2228783, 1031459825, 142945836, 914344633, 766454422, 660877476, 1048794701, 739648791, 298085304, 391572284, 44834987, 675341594, 464037609, 139185060, 365978543, 342569563, 705099875, 344181571, 455982733, 153055222, 886364551, 1029318771, 499606125, 160965255, 626584658, 143713408, 100613940, 995721578, 525110035, 508886104, 835935888, 654478110, 908694785, 962397640, 815770761, 316008629, 82058597, 683550284, 1005133947, 605078111, 592178357, 686202416, 364393912, 917977283, 703583742, 668906881, 14335513, 902316321, 341357730, 819512181, 976337540, 144228205, 837486917, 1071297102, 125992800, 57891650, 817502094, 483596832, 306548008, 629056052, 548069689, 578064911, 514858615, 153000058, 42980816, 346162168, 269110019, 206824197, 656774278, 636452243, 364600458, 355405045, 1023704294, 917708185, 422425411, 790437988, 718803946, 596762728, 851155696, 538075955, 626241079, 127161255, 121644187, 887162836, 980073559, 769760050, 755093216, 889821771, 383600480, 558493852, 433096453, 418305917, 289815676, 942655400, 563268328, 6454416, 426153288, 218181784, 94223643, 498680479, 590379587, 1031506754, 707519124, 1061382012, 605647021, 712890172, 875105848, 486989441, 227386647, 443608519, 401950473, 755026970, 695954066, 5353572, 248304115, 667253600, 174742630, 27650374, 583596295, 65230142, 359250890, 716751411, 567290577, 7969359, 1025506046, 844356617, 884250167, 297806294, 584924154, 320045263, 1045585065, 504681221, 218526057, 960982321, 985198931, 812879402, 972148667, 219813815, 102150668, 26611026, 295393836, 87163267, 394319093, 960668740, 948945709, 568485587, 348799146, 819125505, 833774221, 127196717, 408120071, 194945394, 591825511, 154691549, 889932071, 599654332, 1045425848, 604425151, 587745613, 792648471, 335079941, 199668469, 969343344, 987302410, 674138347, 386563078, 192175755, 895165873, 610536429, 836121172, 568096920, 172278729, 164887764, 432454769, 296476258, 348021181, 553762225, 349827745, 753782025, 375270593, 943776730, 996835100, 346280139, 369459009, 563219871, 889473475, 863982767, 576468432, 1055326906, 501099891, 81232277, 40878670, 999284966, 951502013, 1005417870, 275826671, 215177079, 134614713, 754616913, 876301864, 968916288, 382429012, 894756735, 473150359, 595299367, 957244776, 162118378, 420098481, 1057232570, 707067566, 537052390, 246028259, 53090333, 314334685, 211686699, 56232367, 78718033, 956324331, 442800191, 745519855, 306597775, 357543883, 304872629, 573879565, 114639234, 410879038, 471710181, 938014516, 686931459, 1066889668, 528500609, 1057582728, 366070245, 1000019534, 778525037, 512179233, 561195580, 295491528, 1053101517, 316988314, 148254704, 892803032, 604192150, 18351853, 1027213811, 468341632, 1002477654, 610813607, 300507927, 43131883, 479480208, 411613554, 20688150, 809642151, 11533334, 544095417, 707952834, 1033264963, 604440341, 794694631, 994150129, 573914342, 72705386, 243752145, 1031214772, 977762297, 140182450, 71536758, 669205965, 698672175, 924684691, 879430196, 286220264, 727492101, 60398946, 675323699, 915586410, 865977002, 1033071935, 994441136, 838097776, 268235241, 1033350738, 260577009, 941622918, 754198702, 1012071090, 516092820, 487979388, 822115963, 486292066, 290931461, 984488831, 1004051900, 757596316, 736975131, 326056407, 297102290, 845585795, 724651333, 828956677, 18607743, 13892320, 26788835, 253600737, 977595192, 22982472, 344938048, 810342872, 87570401, 298811595, 852468105, 300943034, 843651106, 834567333, 88883031, 362429486, 98197474, 924458277, 221022277, 261798432, 159545329, 193030018, 181919410, 349343137, 321795307, 936064013, 268805742, 783294648, 974892552, 282515290, 887401970, 1046232819, 351180760, 211451797, 497810861, 486938138, 722791599, 1050671769, 360603521, 752748242, 89494148, 534746964, 781312939, 104301214, 169544249, 1062905105, 450505358, 985472062, 193813005, 90450420, 69777603, 350510954, 258182631, 141630928, 195616281, 440064753, 775354958, 661164510, 690947851, 238343118, 339797921, 851609440, 490279403, 1000631906, 228202040, 1051334473, 648630, 71000351, 259624005, 108544275, 273117673, 329436609, 690366617, 988332361, 70904029, 305647317, 240479136, 151603388, 979030504, 295901908, 966425372, 907230510, 363055228, 871802298, 287069410, 685085518, 630292562, 123698178, 163552467, 385980753, 783049053, 278912560, 376314539, 403474942, 890114418, 985773800, 95751582, 47080502, 491921337, 281257151, 712211500, 194138000, 446610560, 466806950, 398280745, 528890936, 529963202, 108564100, 977755117, 14896639, 227871198, 426826989, 28315943, 647718989, 26664769, 229812168, 308508678, 752697044, 688885593, 785867967, 554309682, 107590168, 792917753, 248691301, 1029172738, 598394893, 372295489, 771692430, 648410153, 417723745, 248368838, 428078177, 385806930, 847543719, 35224977, 170093796, 27379880, 584333073, 173487705, 226083344, 952970062, 463721216, 572904954, 472373497, 433866418, 843352822, 744333040, 542009647, 439550940, 1072139850, 446561096, 970105235, 382205200, 115329732, 474533820, 196979601, 628799104, 610237590, 835039823, 1011149133, 240231604, 309330244, 1061723528, 619770094, 417773607, 176748241, 101688240, 999565893, 105632351, 502353748, 982604666, 546344089, 1035483805, 695178636, 1032132003, 161646221, 347855467, 371797791, 251792476, 935586413, 396916098, 1043871338, 500315013, 765157538, 172741616, 319303360, 704620244, 902675741, 38205273, 63221695, 435507038, 667085677, 412338217, 439352210, 720198383, 215927236, 973589701, 484040540, 1055973420, 220558482, 899965129, 757003456, 947373790, 582594756, 280273299, 867098148, 354091277, 192384658, 745294911, 265518658, 659575230, 593822149, 74667871, 275644845, 78371345, 916829880, 812233516, 504890824, 344159959, 569181521, 739433661, 87870503, 170008562, 747862479, 347319873, 222071152, 696065950, 978950805, 411321895, 505112840, 21680349, 1017467259, 601007089, 891583351, 568786339, 984911768, 223876059, 104710056, 814247722, 84749604, 197411580, 173730253, 217914557, 820987727, 998992439, 49128329, 120725696, 668971077, 82591037, 968034589, 575388177, 1001657349, 591472282, 514223283, 696360132, 641162809, 384499887, 149181924, 985690391, 712946849, 189006992, 898611696, 418304354, 708379904, 455734982, 42649802, 779595922, 822865315, 229025662, 105581809, 399815516, 520727227, 113043350, 418692469, 58796534, 622387168, 306594553, 658387763, 257418169, 355321988, 1652626, 375453869, 476396903, 1014110834, 311592084, 55896101, 500770243, 12810413, 55235543, 756074881, 1001363546, 903147039, 503539529, 311845632, 240655068, 726846012, 768267042, 217253265, 1005929073, 131710409, 979294346, 1008647991, 311596400, 41772217, 666331051, 247913827, 928023939, 231022273, 429899212, 763141674, 138128842, 1071250217, 362203645, 319832036, 108445087, 114152613, 618545185, 104570081, 641575773, 143147925, 148942123, 34396882, 77628294, 998727102, 905088765, 78536600, 256772809, 418342445, 511092481, 314157632, 22289777, 666910906, 417877017, 277254976, 868732277, 349806513, 964199506, 483154043, 969852613, 639585585, 615236220, 454440992, 402820906, 676345669, 907683773, 604958577, 921757518, 897721161, 47297545, 395256657, 14914176, 993962185, 448567602, 269465023, 191205823, 1061969394, 225867676, 917419145, 661725910, 966605477, 502907706, 889526975, 608358761, 1062249845, 121441245, 320530898, 227840783, 831124057, 953204588, 154033484, 604028574, 411486175, 175766724, 916695969, 740860673, 770407926, 105891113, 991586081, 483864712, 708792144, 699368877, 546439859, 791258340, 490246833, 897932984, 962506116, 417825037, 41069042, 221654767, 830888539, 640247969, 536314289, 1056715100, 898398249, 474986504, 305423657, 496719615, 549239164, 1036052958, 325542953, 285770970, 283385879, 915989241, 570831815, 354464748, 944037967, 32043602, 126423048, 998884390, 980552696, 614457239, 201417645, 919897204, 808075293, 258058265, 788522505, 93713620, 904856443, 833659412, 133927044, 1029012088, 938894038, 507348269, 620508776, 116698452, 404999121, 768728301, 71012950, 731679865, 13815878, 496778497, 186339861, 73016795, 210965103, 995279867, 972557562, 678527158, 267025783, 694884611, 985330899, 800243576, 760163013, 88166327, 55116413, 452235591, 788636278, 943294091, 842030854, 297611868, 1001466442, 8493776, 1048078437, 375022460, 592008039, 100811268, 360853224, 554890017, 424890540, 756422559, 105362686, 655535919, 787686554, 490129843, 735720904, 211063508, 240663517, 893989869, 499533857, 652231944, 1054736497, 952262827, 6473619, 520520086, 1023156121, 749386505, 356533569, 540488653, 1060649209, 803287923, 1021124539, 15018809, 1028920864, 268596750, 1055240825, 642224093, 413175066, 11535195, 115206348, 901505004, 569630530, 282265929, 161581492, 172483906, 302841944, 386065125, 21367076, 881019, 1016645456, 1062452627, 574730623, 395374065, 455667547, 34772047, 475830274, 549664187, 540935549, 665422618, 604972596, 862650302, 82871516, 837870529, 805606588, 897254335, 51923620, 496084091, 380988172, 611866683, 182115198, 796796043, 156687596, 220338270, 233428147, 735956255, 748399032, 884249670, 142457314, 940863133, 689599182, 263438924, 566547918, 828361856, 296842056, 637063485, 472090027, 287919856, 429037392, 695446288, 424331869, 424001914, 861790091, 145478034, 13815200, 18666978, 619152807, 900494684, 259504932, 509236970, 870065004, 400936573, 894406674, 544515774, 135211696, 884205143, 239973148, 576734952, 195057186, 901520914, 829438641, 191163319, 423167717, 889798124, 921361179, 908816901, 878827937, 951514114, 397803964, 985217575, 740347000, 175830761, 550794987, 5108145, 52127604, 172306900, 340649480, 209634583, 594049274, 888127926, 114229193, 492530493, 56972469, 611638843, 885401642, 617135735, 571502243, 739497944, 455316037, 630459056, 191608715, 1073613492, 614561348, 470904113, 264578063, 982209, 100703191, 921579315, 415594118, 347676609, 886767590, 524659585, 507979432, 287472333, 360991377, 313967492, 407753836, 986995576, 279335752, 637534073, 739302306, 668406903, 33555951, 520074007, 880447360, 882574143, 411401620, 468535523, 177030165, 111011669, 319036722, 448071182, 731011976, 1014629420, 596299031, 564675356, 545030288, 182973677, 612890011, 837472400, 807826284, 914942265, 982335849, 920654521, 13564154, 1030638889, 938706042, 726824674, 889908233, 386821880, 805910525, 567745314, 320834939, 583695923, 699648326, 421223770, 904559998, 310283147, 664016216, 1001232506, 293145938, 306876512, 672250192, 770530473, 256322371, 425955700, 1000123088, 831859611, 572186679, 116216226, 650099785, 1038267369, 828300580, 784798458, 110611425, 624425558, 619641827, 637540776, 967898034, 502825937, 989986751, 959610789, 722960590, 158173158, 730750871, 340958440, 204937412, 514822531, 297853638, 249008132, 206554730, 542864418, 57894722, 973129859, 1061982826, 304729834, 509615248, 481969479, 484997170, 351757513, 227280069, 229517156, 303287302, 78206782, 424395033, 155976014, 321105065, 883199711, 813880406, 143430086, 155132114, 229069692, 860594855, 37530748, 187202804, 791388650, 1012571330, 737718603, 495144483, 687121951, 485804372, 135399108, 830245496, 90347218, 740342339, 700123065, 792498276, 814543861, 625047990, 767507200, 760833284, 970478092, 71626099, 562685234, 557052768, 1069825871, 641227940, 412242692, 1019507308, 821566502, 506460978, 650079030, 950037672, 791995683, 615395858, 940878239, 964319149, 1041339650, 730894013, 663263353, 439466988, 26833176, 489466092, 938118728, 76046426, 11331226, 230692371, 825379267, 371619246, 210957339, 421164374, 340807523, 815328874, 104888237, 754371280, 427176831, 418995251, 220740671, 37158258, 940980431, 825208877, 602012195, 737793432, 147424128, 815661679, 950212469, 578575013, 293374524, 357813406, 233722123, 88678283, 386759353, 825928064, 787308473, 1041954020, 61808197, 1061595398, 1034040964, 799851765, 721164109, 6250271, 353939827, 471831976, 366367630, 866530819, 417157907, 373304307, 362303491, 1012992686, 351430986, 111184061, 366238857, 107364711, 984092264, 960043947, 305907486, 588056107, 734430560, 708421395, 477639536, 402949983, 17107510, 562712307, 362039365, 699000343, 469894232, 457287131, 892625864, 865511654, 573065856, 126556408, 111164250, 962231273, 946131150, 665921760, 858258077, 994165568, 701923884, 335415763, 229125974, 1037880891, 440358934, 530861649, 574206588, 1018612606, 519555843, 92787441, 860177510, 892431387, 498007265, 569579543, 198532327, 35406816, 586250246, 68004479, 811498061, 701682207, 954425236, 204796075, 79564811, 950285266, 529424605, 163265445, 132510180, 527637934, 1059674323, 234801148, 131759664, 947052884, 576133189, 321927087, 573732365, 238858955, 1000649723, 356591005, 728471745, 697498585, 1053873791, 430626412, 471411500, 930566571, 349196658, 1007987460, 283014775, 711917280, 460446095, 802772396, 655388790, 924447922, 868083229, 268816373, 559582454, 887376075, 1023709732, 462463998, 705157492, 283429775, 777332466, 267217475, 1038895292, 351785380, 939158284, 491533320, 630667169, 919312851, 917183389, 737634330, 695213918, 890571465, 1071539683, 506939653, 251416665, 118815854, 861126396, 11445058, 866218123, 25719497, 214727785, 517914726, 187397387, 377956780, 620718628, 341771692, 1043948813, 563715769, 888127723, 205419139, 541136012, 680498104, 689394362, 478001562, 324437861, 318480137, 283304055, 76137286, 517564086, 273896901, 243786206, 865679713, 796137350, 217152582, 529487638, 585553675, 35993990, 1015568297, 994416425, 545187542, 960126838, 103760286, 834169524, 684851526, 200888436, 822848093, 57489595, 718435450, 215033569, 989668056, 308114179, 964374081, 342244191, 752763674, 10590134, 397534207, 490569497, 632413841, 484583348, 87703301, 1057406133, 469866892, 750108388, 810620630, 740934700, 883001300, 1047504885, 524856487, 357159026, 838669575, 818473098, 888664136, 746916031, 430107037, 227236702, 124307597, 201956069, 890895927, 806099468, 506076803, 440788624, 183025916, 924712800, 283720926, 742535386, 597791955, 134575950, 68052262, 374779405, 177281884, 696428230, 616260233, 369960413, 276446799, 951074587, 830629544, 635035476, 451223422, 870858162, 964651141, 361862380, 696584803, 13549308, 121370842, 715491817, 814536215, 1044765222, 191408506, 885413230, 127169804, 940757831, 207935247, 910602932, 15508102, 10150450, 791905421, 506227845, 674775806, 189204873, 787269387, 700558879, 999792864, 547888304, 620723223, 701685603, 904653311, 431769024, 1017674319, 22112134, 1022141224, 104837284, 15049413, 617787443, 1023996987, 92738164, 58231067, 322925651, 52956419, 1011982190, 726669343, 462246244, 1065405204, 683955664, 292261227, 985028627, 567651243, 55537732, 801961531, 619426744, 520516874, 533279255, 567003406, 1042611085, 903789948, 285229101, 310053119, 868946632, 129926844, 957975813, 109233817, 10659872, 541331375, 811752790, 708800334, 1019039816, 38034690, 414330548, 937583537, 22733317, 370966191, 849316873, 595527852, 746187899, 188619873, 735690510, 586490557, 631765063, 700764485, 905629024, 251672944, 737592828, 351589751, 299712008, 844950460, 334235947, 844809869, 330973950, 850556939, 523104885, 251552212, 153890834, 61313233, 862456674, 722329495, 130056055, 947807861, 509400077, 885697428, 383849715, 816277416, 911612773, 55766664, 423394758, 81681489, 67614646, 702721307, 798650139, 355750454, 418715827, 369411901, 924345213, 41365236, 814354478, 1007780811, 746024764, 644080993, 967160721, 922799745, 518717618, 1027288844, 182798875, 90617537, 990996812, 349071077, 658849761, 934509544, 712473422, 408234468, 366186877, 517864995, 216950903, 937508640, 261970173, 545800583, 921549321, 616200289, 1039849117, 747007420, 493438467, 874520046, 633926451, 1027064223, 210577072, 473013430, 246301339, 376755249, 269542982, 403475017, 920465370, 624694658, 272285150, 295803229, 635943802, 465805811, 877309898, 915330548, 644427429, 506156334, 249558216, 230957553, 1058961269, 942167646, 629659413, 1067302790, 480797845, 218152562, 203998196, 859271945, 928032072, 793472531, 899172241, 467393427, 271598124, 117473077, 530166162, 701239716, 1062667773, 214205463, 831106531, 812050853, 300057695, 385527002, 344100571, 63434934, 84699430, 752363581, 847773124, 435359142, 832736783, 488517768, 23316505, 160092165, 464438084, 697330451, 315038896, 908490526, 985886817, 1043083376, 835844824, 1039121143, 800074556, 163276209, 940879779, 828189807, 183999008, 268257888, 365964232, 232302615, 1051977665, 256511535, 802255596, 864622328, 755141667, 206859890, 506539185, 168378268, 1015779604, 659393145, 393678448, 238481059, 880435153, 411099326, 714777874, 718065787, 36041953, 725900335, 8876698, 885641999, 192510012, 407694664, 854638366, 891387057, 817868695, 395252838, 990683936, 314087857, 256061761, 486699379, 408762425, 750526130, 474638871, 143438282, 893903206, 64428994, 794055137, 418554240, 535291000, 834188635, 560594383, 43263676, 297201311, 924048490, 379177651, 1068949868, 906991353, 418345175, 633775060, 205386128, 1073497268, 379315988, 301879046, 116616979, 47892768, 368449591, 142566565, 660045572, 986393957, 466735247, 273618113, 414711061, 728271164, 670636904, 791431100, 28857317, 140958335, 949323951, 808126261, 648033095, 804165722, 850650263, 764658186, 579118290, 411035505, 646293750, 20354050, 373799209, 260689422, 1060121441, 907483710, 856587406, 861286878, 12951182, 670895551, 545564975, 866526012, 779894411, 861689672, 525410357, 899424225, 140741218, 300330533, 311429120, 89453091, 703331904, 356356176, 321619747, 732049359, 186699872, 679210249, 199329722, 382877066, 265713286, 769991531, 888669951, 676360667, 207878696, 1069185481, 284035530, 674877089, 133903978, 91357547, 572170105, 124449828, 725463733, 760122602, 559234766, 135348687, 198939797, 517360532, 578723656, 354411050, 681384863, 753055190, 203617886, 1016877646, 523737695, 1025273507, 172542748, 953159299, 233178282, 299337893, 41849801, 896501683, 777400523, 612993106, 608993155, 826469789, 707523697, 420384103, 612157841, 55437952, 216165384, 203652027, 513352660, 25112811, 268464852, 361996268, 507926537, 978839464, 385638969, 963157560, 540251832, 592442859, 647935014, 309782729, 502710240, 28208218, 618516000, 275103590, 1042703431, 9103692, 341624243, 292656247, 713456061, 777314551, 334571399, 681137642, 683963139, 542001580, 190362909, 896654910, 486448248, 617609526, 340606847, 445504645, 451364951, 154384933, 338885512, 606839308, 320292799, 21772576, 642372878, 1020342112, 686846589, 66159547, 351118536, 1004960038, 1020570906, 387993027, 361236901, 250875713, 167624953, 55732047, 780650768, 554567317, 192308852, 735935116, 693064820, 334928483, 567710884, 387796412, 1019655115, 495620684, 865366130, 800322164, 951359127, 706766232, 440837025, 669335984, 256452248, 874292018, 707457028, 108676971, 646298247, 927909618, 403363265, 936365828, 231426638, 223348529, 66909719, 90156806, 331392404, 36786810, 103905345, 720710548, 188129198, 225389871, 61917897, 132872115, 894388577, 710919721, 393972698, 818143539, 732270871, 949825838, 579232842, 753090429, 291345633, 1007953777, 5709951, 903518892, 994558759, 1001575711, 352802682, 273654734, 748582817, 1053006850, 815499868, 778985510, 936652861, 47491510, 330624128, 1056827809, 602348998, 714597304, 77099167, 773241473, 401745886, 112157599, 572293466, 633206151, 31419833, 677255520, 771241204, 662725470, 128663830, 374600160, 185161507, 553491857, 222556283, 899206799, 646027792, 264426255, 368144059, 448872288, 279693125, 210442854, 226748568, 149381317, 692471685, 662194140, 954484128, 738693222, 506628046, 876166116, 934984872, 86116071, 344832109, 553524128, 546877665, 899148597, 567324944, 162476253, 547733460, 947011805, 737211421, 825896120, 31614381, 507895404, 478609169, 892563881, 772265566, 601792581, 264284778, 594435783, 1066453775, 305585997, 316681476, 752606850, 925189696, 671738177, 677430298, 8208493, 52851798, 923734391, 375899545, 1037927594, 463407185, 216731138, 1011247345, 348948859, 514295483, 653946067, 538599866, 268793276, 161397817, 6943419, 102053041, 794216207, 803735613, 960674789, 485667697, 485967941, 553025349, 687482590, 645924079, 458573177, 1052402864, 654324127, 755787922, 804523608, 589413428, 414729787, 46650619, 489855360, 846855239, 424028150, 244472163, 396561725, 9625671, 308772741, 273040826, 462429259, 450001864, 61258897, 650647431, 35675679, 972006169, 408118695, 153968794, 756836270, 727103946, 213678, 1028922373, 222603393, 853877021, 260954560, 891116633, 52930667, 988089218, 1040789601, 1066550310, 608702148, 910392761, 258807006, 444238182, 167402927, 898041827, 436244078, 612777065, 396483948, 303994934, 402841125, 333312444, 320193697, 465221093, 173853270, 1027374869, 1052900719, 243708350, 604105165, 744932880, 1071893489, 394841385, 951521159, 651515100, 61199904, 919347822, 1011791414, 993903036, 229516519, 450326539, 832983136, 254546934, 236760198, 814448093, 818281684, 435894343, 22869513, 325751946, 766760795, 799420507, 721888589, 116605321, 486415762, 470732579, 110366196, 686985417, 804647777, 538663095, 611128344, 996802933, 391446162, 103026336, 317835186, 721152806, 588905727, 517554195, 321440806, 195953036, 855234082, 387214444, 41859705, 178867686, 872962745, 705989326, 59948098, 560374669, 688525182, 138000367, 120593388, 547201132, 743264126, 946276814, 763891234, 337705351, 395287381, 275142420, 321906885, 565719395, 474568921, 325770095, 871617103, 903473208, 170766386, 709705731, 243623539, 752997112, 188091343, 501090082, 779128727, 957352927, 451899570, 825699819, 367795754, 492845419, 628042729, 216994801, 757425661, 967164233, 686802083, 149062781, 426854134, 877215458, 995602530, 769071868, 619252273, 1047885019, 866980168, 436845648, 791917984, 28704382, 708190983, 433109087, 956360528, 786920059, 349507537, 520474787, 929159709, 730401554, 609960558, 856759664, 235657527, 340175187, 444104461, 444614, 89298113, 612937803, 189877777, 519045901, 717675791, 617340676, 634116982, 137878622, 709486230, 670782513, 422696042, 399025027, 196432204, 36116312, 348470827, 284483106, 509083315, 172112828, 509633208, 909198744, 370184618, 1046775232, 310703894, 35320277, 79052905, 659450328, 845930685, 130461835, 196973293, 544299659, 495387465, 396961338, 58855955, 671719533, 738696991, 557651526, 526246005, 996356115, 482629300, 1026035502, 445146881, 766683008, 88181820, 307593294, 239085755, 680307744, 597478911, 37088470, 889796772, 966421245, 217817128, 521439771, 798193748, 596447307, 581011786, 551869164, 1011541291, 985557156, 1034552016, 31608244, 633864155, 55704326, 256859810, 975948655, 847765864, 63692315, 649048970, 868317548, 109589949, 873178146, 109856681, 133716444, 239303898, 448803078, 685156047, 471421825, 563502263, 323472150, 124679628, 450138218, 89322997, 22123007, 822636979, 1020084943, 5316146, 866673092, 49908564, 118531654, 879092602, 107671835, 355187121, 979204616, 498402768, 617070327, 33805994, 912006760, 595017109, 736157184, 1050703817, 181308684, 775646566, 820074646, 446020620, 554552894, 378692512, 465590752, 651328273, 153860035, 346993588, 34411540, 174418245, 83976363, 743105165, 509812083, 568781845, 887789581, 345907987, 732796105, 440597132, 79332491, 847566069, 272616085, 1069446518, 548372583, 311797878, 126195454, 43820696, 965916979, 550281845, 243328448, 661992745, 320753605, 923843049, 51496009, 748724533, 366979317, 335634703, 631768942, 632409724, 1060629191, 435959019, 216251240, 372402256, 754776065, 656908608, 691339104, 345627768, 751258064, 839090870, 978581060, 579864366, 478041875, 838881299, 391350294, 300322753, 253333744, 366921761, 186941075, 796655481, 244575344, 84239359, 143197624, 203302131, 720253976, 258494684, 139670354, 380096261, 18859686, 710217360, 12582830, 532917752, 507044909, 288243130, 834892109, 698843575, 18077285, 185851737, 132819523, 243536720, 444557159, 1017028667, 1041565137, 175087411, 62225645, 245155563, 931402133, 435135469, 527848890, 458448742, 205055481, 78662136, 527066411, 1028687867, 72357134, 518607515, 106022162, 359530487, 114259128, 365472120, 146532092, 591883628, 555968721, 816834670, 486935599, 237044136, 512496135, 703781352, 974211312, 233804863, 29788822, 156652970, 976810793, 953238999, 993927935, 345455485, 908582330, 1037556163, 278284879, 750105107, 720465044, 979702615, 993708459, 330459260, 112205753, 861196805, 371495587, 1041580627, 219980186, 123969965, 387040928, 576423536, 591202513, 588806998, 1059340538, 1057525110, 820098870, 1048598880, 318237518, 1008072114, 515742310, 750752613, 825631986, 874782398, 216581089, 933363170, 602875377, 925152826, 989265910, 261971985, 58362849, 464996567, 86546764, 829193381, 833774383, 862544936, 823578060, 477859585, 495066339, 28626892, 486465829, 200717105, 1049348252, 528172723, 860077763, 509892837, 621727908, 199249847, 504667391, 745151601, 779291790, 1026007404, 876324559, 366471353, 571164595, 747898641, 482304549, 968693955, 915032904, 70421600, 427205562, 24810613, 1007709042, 381478590, 329345841, 260117497, 41666489, 25242284, 785503421, 90550725, 904179617, 532249932, 520814463, 138725098, 117860974, 307180506, 981697248, 333482054, 168484275, 603004936, 139288939, 932903462, 526130662, 121958956, 760568397, 440786004, 458526590, 257956450, 337629794, 114708520, 17081526, 145090476, 36963708, 905490004, 584768903, 376982734, 507414754, 731422429, 767582833, 887003470, 822007714, 558949802, 651260547, 515964128, 361838354, 478414883, 789982601, 879345605, 953895218, 569743789, 499582359, 167619996, 605957586, 1058432536, 130731919, 873585911, 682160056, 1032692441, 752399416, 794231008, 590058788, 35115573, 193781275, 465145541, 1046692185, 527782772, 847084915, 524112953, 428852407, 445186390, 98841706, 614361285, 1050117135, 2429062, 805304351, 1022770190, 945764613, 349092267, 102620241, 82863880, 897631311, 771329451, 13500240, 612059976, 520226471, 853057969, 800969587, 472308145, 191212406, 814814826, 748593440, 114668216, 60047403, 309195672, 308926938, 213817940, 1049610688, 173875475, 231476167, 730616591, 409248016, 757236292, 789776728, 1007125173, 917232824, 841627138, 1039323596, 675130180, 610179951, 858187696, 610123791, 447613472, 528556233, 517280810, 435643706, 771149275, 442875603, 643596502, 32003394, 112719109, 696192163, 429362483, 683474514, 330733597, 663876335, 642112126, 741721026, 287673461, 347704030, 568120922, 761927791, 758003976, 145961797, 247119943, 299193722, 351844803, 552907451, 883789718, 176382515, 435828458, 610994719, 387654035, 279107682, 339743475, 335151242, 401146324, 88314649, 933841167, 401564197, 917931862, 311568732, 99437969, 736551172, 497415951, 931197554, 863217449, 436597144, 783259284, 929423383, 70008354, 226068011, 925956012, 160553833, 136564019, 1005655535, 93975072, 154114734, 553820104, 129510450, 318834297, 945439735, 590138685, 767485186, 960379738, 304389297, 62049490, 880162358, 534916255, 183169772, 236117684, 558099188, 965919879, 841935757, 72919022, 19333171, 875741582, 498286486, 671581134, 960613465, 564944790, 556043319, 94157833, 712962344, 429048598, 1011622417, 554839934, 305584544, 177779835, 467452694, 133319254, 486471014, 381966308, 169067762, 26892321, 546970535, 177425762, 628792912, 1001224096, 311119540, 49525135, 1055026030, 1071097549, 688073405, 705726843, 773843235, 406581690, 552249221, 107435491, 701896689, 439392572, 224709329, 432705417, 318213219, 187914560, 1067118288, 313087172, 924035375, 966044039, 598763166, 556724665, 29428051, 353861428, 888555183, 47096316, 402889281, 1026626609, 394431010, 18178313, 665095528, 531239478, 670162770, 350879791, 925651295, 413672513, 114896437, 141579694, 948643945, 22198365, 744935897, 123418423, 1062530350, 844512494, 996727981, 41012307, 585212388, 580340755, 928595736, 324463920, 517839252, 409773870, 764469311, 514713676, 974097332, 365794801, 1045072474, 706182608, 869239505, 763989024, 882903689, 65590607, 490856277, 809211995, 941024426, 413306844, 456348360, 653934304, 229961246, 990307511, 942574692, 197246130, 769004742, 538460434, 190306589, 232930776, 506435009, 962900308, 253113747, 241328541, 659052194, 135375999, 495578820, 414738710, 345199186, 362798060, 114224690, 518306975, 532161613, 989680919, 644967042, 736640998, 197492731, 707960228, 90886427, 165443468, 563554195, 136969634, 197843223, 501793670, 1059520955, 195182691, 219774696, 737389542, 1058165362, 859718844, 800538857, 77318553, 573296449, 807784151, 1032770601, 981303996, 861775031, 579834400, 343361611, 612829326, 900360266, 521905836, 861717072, 234828167, 255938094, 493156368, 634396774, 417624109, 833006996, 751607179, 469811418, 1020725707, 627186268, 944352520, 544241674, 516238911, 500622516, 674884374, 708095426, 360587264, 841856964, 214102711, 548180396, 488240747, 388715009, 654227939, 712818211, 713648734, 480347693, 1063027647, 735755810, 348917331, 10129090, 412152387, 244756246, 405273907, 867635562, 501317455, 21182542, 1000520175, 609775136, 842306775, 529990122, 1038774160, 289302603, 1013116895, 782101980, 470640352, 793599499, 702571915, 660053296, 382107702, 794904657, 242595619, 591848100, 667005728, 172715490, 1010548069, 660100941, 532344073, 234218645, 2024636, 838318949, 855606771, 363573416, 870807333, 768094377, 177727101, 534303511, 955331434, 672632380, 39823844, 717868706, 287419109, 878993065, 882536972, 560338134, 988933863, 932555928, 990234465, 1025475910, 641831340, 748003670, 491088917, 560584838, 642999331, 678024284, 269039202, 492894674, 892989602, 398600037, 174877668, 1063482542, 518898828, 16043738, 690485921, 49265185, 596453109, 409315816, 145496586, 969772854, 557797064, 520075174, 238274226, 822698059, 348091459, 143122459, 982086263, 58202227, 951432202, 291373697, 922978854, 1065714590, 634815106, 414770666, 41212929, 619805040, 513028557, 791697532, 402122467, 554340657, 1002238547, 999364285, 666955712, 677583278, 562887503, 7853206, 826492068, 791522651, 1004419719, 45252276, 570848375, 1005381966, 439745401, 204034804, 811749097, 281206353, 211070179, 498108811, 746994967, 735126251, 628192138, 729674055, 112172476, 254740285, 228352442, 384944418, 539283572, 729545512, 106804494, 980383558, 22294372, 625004747, 71844367, 831487311, 278787366, 165006831, 274263956, 713891414, 511953802, 170207888, 853443993, 340361045, 145791782, 744576545, 58442852, 1031541566, 31252171, 977519543, 274725229, 357889675, 474350733, 1071030893, 877031438, 905907886, 885608543, 881702567, 913450638, 272546788, 844790925, 734261264, 189995061, 909944267, 241646912, 890688094, 70092887, 134539459, 15307036, 415638134, 389746205, 1020803599, 784624010, 419086206, 1039775117, 407865251, 464483546, 917067654, 639381239, 990550355, 845213538, 881862930, 624489947, 226566358, 847500785, 856663770, 44542981, 526616922, 62028048, 416095993, 936864546, 1001015495, 1066420753, 367462547, 891755538, 680063893, 157152617, 933179876, 947641189, 371051004, 619100903, 11599380, 791451433, 470266756, 319291207, 62027380, 866547383, 856241329, 243390522, 443011325, 578493839, 911514325, 329189732, 101942785, 219494799, 46627627, 118181627, 379474718, 866866428, 836172739, 864861448, 495398238, 677438406, 645948493, 1060777182, 933099900, 476450310, 781604468, 863685132, 836868051, 298631583, 865498615, 439557756, 736789699, 683429117, 187996855, 426258349, 818620094, 292136683, 240993326, 738799078, 484223063, 857604158, 700034314, 297668516, 496200178, 584507014, 967191966, 618572417, 890076801, 335199413, 188163293, 739735218, 261935775, 810065486, 650190460, 357240831, 578949319, 901066121, 821060596, 872949617, 574288736, 821295242, 939461213, 103157952, 549997046, 864882731, 962446767, 959284132, 270560419, 234335670, 360313751, 757899965, 122533781, 1049522558, 41315103, 1047804582, 482436448, 553237493, 487416059, 218748479, 817170239, 257328220, 1016197270, 340865632, 209156265, 209890599, 714336340, 248034823, 298770473, 139989479, 234739740, 662052128, 971961627, 568985838, 183329385, 28174520, 374964502, 121555906, 636118517, 504548617, 397292974, 153233385, 366066699, 983187849, 769278937, 710648449, 1054185937, 237381960, 66814175, 558926879, 17738451, 630309935, 234566152, 322801420, 854104334, 101392277, 174335356, 940870185, 1058149341, 506638987, 455472156, 68786958, 991409819, 234506209, 810586965, 24778723, 120516294, 1072971126, 42445253, 900963648, 863762234, 386829174, 500126751, 533344383, 322219896, 620089365, 790961504, 1016356494, 371297185, 148673171, 663051244, 576945049, 821133814, 121098411, 882389114, 240054457, 71586503, 626555915, 149416484, 1906457, 66705116, 990914084, 1052770405, 125616011, 388082362, 590093747, 510748424, 578556007, 601145442, 540300098, 549928571, 95114968, 1033973979, 990607486, 568944977, 349660980, 934277853, 192927404, 234512932, 814479314, 378188804, 1003761341, 395771294, 641056461, 281963186, 31434368, 734598699, 84229859, 245971289, 402463157, 903843478, 956558585, 397325471, 766387584, 690016280, 504211938, 381881879, 770660443, 448150339, 171192586, 625028154, 354220487, 753250514, 883480428, 940310381, 125253293, 215519938, 428247857, 380944702, 206749805, 802557552, 619206757, 225318455, 781400251, 145989314, 47859635, 722180846, 284174511, 283390554, 554691734, 515823561, 595527617, 212506058, 11873011, 655298371, 117774730, 979514193, 204083461, 1037277503, 171382539, 874424631, 842155223, 639117384, 144187393, 966913219, 1024889882, 315391822, 404695343, 699121738, 1001738487, 776898535, 915245538, 854602401, 122729555, 148591049, 115645361, 266519490, 536918828, 914987060, 353528581, 498826152, 377831568, 112158517, 939907062, 269701800, 841414990, 783747571, 1001487174, 876546232, 1037741186, 258812303, 268581941, 809474657, 712342974, 1044205890, 634307670, 393440505, 999278075, 86867558, 489368646, 911764228, 1043572797, 244854269, 517992458, 737958862, 622806535, 991659172, 359169462, 501536257, 282205092, 962687925, 877730902, 1036362924, 697248829, 286766603, 453523464, 901713177, 960228481, 188320995, 669465832, 1060035374, 283511814, 83348059, 291420500, 1066998736, 468378736, 381625569, 1013789483, 805881559, 891717239, 733758748, 229034121, 717126146, 35922207, 570094335, 159939231, 702250442, 672350564, 289547979, 775557736, 455319663, 823537976, 159766019, 457846178, 86782363, 582197704, 774927574, 519441962, 360996761, 743772104, 1019094406, 101213301, 340106240, 832977776, 40596486, 246564681, 672436015, 55548601, 1045222628, 59343796, 958188081, 439158600, 205288394, 639038184, 197663210, 797232705, 915595462, 127626904, 835054060, 188582996, 581991481, 183867259, 176381111, 980922714, 377468347, 881442478, 190898188, 504548457, 348764480, 147426151, 484920395, 763122982, 1070442541, 784188577, 340480861, 106853158, 492037598, 746426587, 914049733, 708317660, 827538940, 483925557, 433818555, 743575899, 311048038, 750400271, 172669763, 319450021, 732570201, 628419490, 126191332, 461108498, 825177849, 164455436, 274069496, 560996886, 930089502, 188713853, 984417283, 1013737951, 816692736, 81501294, 868003845, 422829960, 715564007, 346242918, 128750363, 404550508, 301376125, 740300391, 764315447, 1026333107, 279174230, 405005632, 487857967, 296411743, 970985269, 973138845, 496651485, 687133905, 934081530, 864953949, 525770577, 873433031, 977030739, 250161295, 295840868, 1056866904, 167463138, 18669712, 10188910, 1033923355, 696881764, 458247692, 335952903, 294449318, 174455971, 125967451, 977682363, 809861645, 777982795, 520861346, 855938884, 675895745, 190485969, 619101831, 16633499, 149965408, 217512363, 785435947, 517033243, 715562575, 292442122, 997476657, 284338396, 933018382, 103837634, 431589042, 12984447, 458340640, 433169204, 143594595, 864437074, 665209641, 994148876, 366993850, 1027505788, 714257535, 938753672, 216029073, 875939285, 373340393, 137825429, 846267312, 35976988, 1001831090, 662639952, 306998166, 67668059, 229357883, 690693894, 762413416, 270990903, 385071265, 785338474, 748610110, 833954578, 540853020, 1042597614, 713177514, 697930477, 498411008, 642233624, 768404345, 806111973, 249988756, 568843139, 1026110521, 85518000, 597955754, 73751963, 493997590, 694266664, 894049672, 1040664009, 212436916, 676083850, 891753389, 1050962295, 948267524, 167502671, 655264660, 568931927, 796101050, 37167693, 183870338, 292357336, 1000625002, 52741387, 107602623, 393031909, 131526452, 20710315, 473867425, 186906465, 133898005, 892289404, 301273783, 245739297, 437479633, 817302994, 210902167, 742313427, 1012715063, 563865624, 98495717, 848636810, 710833494, 524062533, 613327353, 22342604, 203696296, 102536643, 708855935, 327930244, 272928202, 505436524, 584941299, 722651870, 139480540, 495578915, 3358033, 97083395, 502157211, 498259289, 263580031, 848563160, 227944094, 496520224, 777459208, 795708647, 467326396, 935953181, 942384873, 410407591, 585131354, 697345944, 201476958, 424697012, 439922749, 16625352, 643883847, 200375433, 62932756, 357066458, 140039869, 620705232, 151142230, 222004989, 205364633, 92498959, 902317962, 835948904, 704987505, 1029887637, 337374101, 263239593, 1013014063, 823766326, 586335278, 926830409, 690876056, 949534592, 190073161, 545438284, 597127482, 915024374, 324557588, 763672703, 1021089983, 939704348, 520846516, 313512106, 365302627, 838419426, 708586540, 368801571, 108580845, 223370584, 860194302, 690990807, 239438910, 80900306, 747489201, 278430365, 1067277596, 722624224, 804022750, 78530601, 513435446, 10200007, 28475852, 337071665, 680468955, 699098268, 514203721, 547710757, 310508869, 887789537, 323385506, 591830173, 325129588, 311145348, 415178383, 25403182, 378240388, 61556051, 384934486, 496455745, 299307351, 357277834, 410428024, 656258311, 67268255, 65869239, 325593524, 312903422, 295816217, 262665277, 550385737, 959534310, 335327899, 390403851, 561629023, 408216457, 937559754, 599611130, 976758653, 681109806, 140375515, 947533402, 59977323, 774487360, 185724611, 365864803, 354876966, 346378329, 617160436, 513464440, 932933832, 351215132, 862766192, 936810733, 254472804, 79036385, 14904713, 87631093, 504135046, 823572809, 456463180, 853562044, 47239504, 874692411, 542446842, 213560162, 225284576, 441696711, 906796247, 100624752, 336024806, 727794286, 629243011, 883364079, 406813429, 134765561, 807911854, 969296190, 167170993, 660879228, 414059241, 80997997, 1067302818, 473246293, 290792557, 584713250, 833056749, 853161734, 629349749, 1044545073, 182574995, 778747183, 487582444, 678193374, 759549411, 671982682, 719214534, 1039943527, 603099797, 925084006, 604083181, 580134513, 77586864, 1050087522, 808164473, 1056517147, 668398237, 186581418, 421780324, 657650617, 11846989, 557054356, 256556659, 555796093, 731802027, 413365314, 373738294, 44249049, 416122929, 439626110, 346085461, 395827429, 928627105, 643795608, 84014809, 937235813, 296099391, 89066110, 689813969, 452346936, 369727587, 360200518, 500134226, 457256168, 628285293, 546900113, 60756432, 690329521, 766270344, 661266850, 252000980, 804282554, 693950548, 802330196, 487314109, 489719522, 810652610, 53908652, 73179364, 869694712, 139744164, 383602725, 555128567, 250100911, 771013112, 1022372374, 902922566, 793023798, 109401808, 38061737, 20136328, 595138197, 394478621, 922017715, 934568783, 586501648, 346319275, 466909879, 282461855, 464531925, 544587887, 616518788, 821809449, 557647869, 473012223, 1061284210, 666892611, 643327053, 891437153, 998436350, 531151955, 373285357, 621377283, 647679718, 299258902, 884287445, 537547621, 978618420, 1035521118, 324144769, 612453257, 296668908, 529021941, 543574088, 996591420, 209916506, 701297261, 1035032048, 642482632, 353358629, 523508545, 105129473, 1013106566, 810806794, 90574319, 661048854, 187159319, 215249757, 749498223, 295767197, 691066030, 502176371, 681761614, 180762960, 14038258, 340328285, 934183479, 310061565, 43162666, 963414191, 11283910, 189253398, 352780670, 872868036, 236056911, 114899544, 682308826, 392476446, 1039969318, 618912154, 370925186, 762704012, 968516383, 84642672, 93744656, 274327621, 878190515, 279569254, 917968336, 258890209, 973132716, 289776706, 247385753, 791893900, 673334998, 75307892, 92799502, 946928349, 612994057, 298355916, 992874387, 842271916, 932141258, 979660951, 528534500, 135037027, 42155363, 231326142, 959968382, 382229632, 1059709150, 335160941, 849951282, 146236132, 436024035, 674571477, 702132001, 691258136, 875049274, 448554781, 1046448653, 476677033, 946668625, 365228356, 290983102, 185460253, 947181772, 175701136, 640474520, 1032239523, 207313120, 594585284, 1033095853, 168481243, 703992886, 762598645, 695184147, 1036049558, 639817758, 275402233, 837636888, 241345968, 584743120, 632668403, 238849951, 325592348, 1013826067, 435264156, 392006593, 185244685, 223062079, 328440723, 245535146, 597359214, 1034287306, 170515944, 769228375, 716320659, 226697776, 788544078, 842930135, 19672966, 10694109, 468848005, 297173146, 605824054, 321943994, 431680304, 330971189, 116265582, 881878231, 813170738, 185316732, 843065569, 355774784, 854057857, 880684038, 627168891, 682703632, 440617031, 296057219, 431700283, 290934826, 597708980, 1005991771, 392560080, 295751397, 78360861, 205580606, 140344795, 126897520, 859875250, 170251128, 518776465, 278732739, 498075448, 75888175, 357956975, 401506499, 105445503, 792766256, 674516776, 1071758181, 564670278, 374647833, 218239360, 348039420, 102498120, 203185557, 8085130, 768719792, 748493913, 181895556, 911128247, 524987855, 501201233, 341001895, 188810130, 1046779824, 728127514, 280562820, 546621976, 1055489588, 610988709, 774481786, 29393994, 379482998, 443617996, 858128850, 308839132, 861731092, 246285695, 673747060, 637404901, 574662418, 803732331, 767369605, 1027221592, 122379421, 346676326, 646469397, 1034312227, 296614850, 957746072, 814247553, 708294744, 673903623, 313041549, 872594715, 548104453, 705886865, 962834396, 246640190, 212771095, 1027631356, 1013678959, 1034126847, 31090701, 79590114, 1036302484, 486435423, 737576076, 114958725, 140012068, 691076073, 299166715, 532310367, 927747552, 378546385, 1056525190, 1046357543, 663554451, 1007503537, 618955330, 145315826, 595668547, 14584379, 647257342, 149292743, 93013992, 954660555, 1023854268, 447418089, 993582889, 46729432, 133709030, 606608000, 785997894, 579487071, 143985453, 42567400, 890021258, 42250529, 596238662, 309589168, 617491589, 98647652, 937735980, 162653371, 870395943, 329841432, 999823842, 735307165, 352616345, 698672775, 139363815, 534374563, 881050534, 325126257, 440589953, 834220550, 489973781, 644005122, 466994345, 711779166, 187981903, 1004636274, 469504294, 207384997, 1008425119, 103647774, 827679106, 703675728, 16271985, 19783121, 658236934, 419794839, 504495338, 189759925, 394136456, 489635763, 993266223, 1014866040, 402667195, 671646512, 19442987, 402671195, 690226437, 676528840, 635360303, 111440711, 676672292, 463295136, 465236610, 32861876, 179427163, 292011693, 955972092, 45494708, 943061005, 743449215, 429999333, 199950875, 916201953, 695205334, 566531662, 807801031, 39546745, 899866365, 845362101, 1003353556, 351924054, 245015031, 1064284806, 262685663, 617455929, 242607889, 959863735, 270692289, 1046036490, 262126580, 394855962, 672786731, 932380693, 611883833, 588659649, 331998316, 66721939, 724267681, 229764204, 797207191, 298477713, 323143986, 111692787, 171225977, 229283979, 700601533, 913975324, 304355958, 662707149, 362333981, 748493588, 948684158, 554787876, 483559747, 534253521, 550958749, 537448634, 336667376, 411885127, 347760370, 1642166, 645888930, 898195198, 10202193, 222987437, 768017188, 969480183, 613789713, 1002461433, 852360693, 247088677, 485276077, 360199562, 331014367, 844690504, 545873137, 423893356, 352070517, 566768109, 759590954, 475246156, 228224763, 436608454, 494384461, 778022725, 467624521, 631225172, 345377616, 875544841, 220350341, 297844902, 996804292, 563959741, 617163343, 672188107, 816155657, 604192064, 683066288, 744653726, 136921719, 721568806, 62764061, 232308501, 427115219, 864460900, 152160492, 596498143, 969727709, 405958025, 735305757, 157781139, 788188997, 919038183, 994099794, 47929200, 533630855, 685141315, 228182236, 630556859, 251714027, 225440753, 1020092903, 539110779, 892407976, 207842984, 700990816, 228181442, 447408475, 872172473, 533057031, 160122506, 617067607, 251906814, 226488213, 786972198, 995103350, 834334841, 541118585, 359870914, 129536851, 238098714, 1069070836, 660784487, 820957609, 489851696, 813916857, 275471568, 419581367, 640016939, 821542778, 1061461813, 307444638, 933601999, 273247186, 146650054, 388790662, 800744321, 863809234, 663694906, 311434634, 100461966, 634080985, 816339555, 544363519, 438456684, 973292374, 630905198, 991946193, 385561938, 432703311, 587831113, 596677024, 177221499, 972508322, 346792413, 306273802, 759708074, 485384456, 869011837, 264401075, 871073853, 741210105, 637119963, 386786045, 666208563, 375895876, 890833767, 960594992, 535917087, 30017811, 169220497, 1015132111, 36630018, 520609395, 1006497592, 628118709, 429047766, 849236320, 530615588, 871591782, 951286158, 579076400, 698631942, 865107507, 580573634, 667629147, 656603606, 956421688, 747443100, 558380552, 1022966204, 674525794, 709977146, 35594977, 515597866, 138180448, 472677120, 586834736, 590186023, 1011531063, 945927928, 440479340, 470669331, 745066246, 342917054, 959291806, 609243355, 542733953, 405846673, 258761261, 478524866, 731918106, 1022409349, 281352482, 93738682, 129148213, 270856430, 415008941, 940474202, 450513127, 579896096, 1072926730, 655893798, 29709750, 424744939, 800157036, 696429244, 767699938, 637205402, 640028771, 197415961, 23886926, 178972405, 198486453, 292464274, 172221854, 611462000, 950010678, 164485804, 292428918, 364642089, 138644266, 577921236, 901258785, 486157525, 870759717, 668805193, 1065201708, 530460236, 708272290, 691524672, 672509837, 677158971, 202250078, 629155785, 419410870, 304396307, 83929076, 276477182, 939132825, 377026374, 408444249, 613289249, 1061927774, 653395874, 836617406, 69332038, 365515403, 706976632, 379160080, 60004002, 725095507, 708364272, 942253062, 48848928, 308310254, 499394477, 238582062, 523189023, 289625877, 898466704, 339217288, 269134621, 351701639, 219824731, 329428681, 554374451, 908079291, 65418392, 350754878, 805176594, 991270464, 44603215, 544032443, 757944708, 237596321, 562672906, 226290714, 783903393, 52585741, 848479697, 88840314, 650146687, 947935065, 935086596, 905865864, 557151919, 172854101, 350086050, 30182649, 823295212, 651917591, 841328020, 701822150, 567911059, 1031118699, 552654199, 960252684, 939347483, 276799750, 922237120, 656427735, 693223465, 432546468, 223352771, 1032949336, 916680660, 1027421922, 839120035, 730906901, 632692257, 549652221, 379709751, 772713520, 77224250, 763762634, 1025307762, 95356996, 308741377, 950341185, 410364226, 103002028, 317255137, 412750205, 783165395, 832050143, 774671530, 368760607, 422352563, 622418350, 434076518, 200445592, 258321147, 282772998, 674241487, 936814733, 654391831, 743212712, 485676651, 739490853, 249619311, 661142553, 990900075, 934162204, 477846113, 773552708, 662199562, 1016085503, 597353591, 718177828, 254801803, 812756205, 390263169, 166960990, 236976600, 232039380, 59402974, 503328433, 866144272, 327967181, 1023814507, 548041580, 459679660, 694341527, 901109555, 185363204, 432513924, 927750337, 644108673, 579310728, 570969370, 110113125, 272295359, 1063534755, 981515344, 451504300, 625711230, 1066322067, 853603117, 209650350, 248686034, 347034080, 1058812347, 369669061, 24054084, 58027942, 746286663, 499102559, 236273504, 749392172, 695955295, 761137632, 952190034, 553056291, 626137406, 386804717, 9799869, 805311084, 243408700, 88875159, 623706710, 866508947, 545394600, 706987457, 279350692, 819929581, 130649118, 225284855, 643065473, 667215431, 234420079, 1031574445, 821902403, 302870176, 79570805, 289737976, 613457535, 1179331, 105917612, 295800242, 664976952, 1033873005, 352229166, 843916676, 180573037, 220313466, 521852348, 121117164, 523831171, 957470446, 20921240, 711742671, 321218226, 40177913, 549705833, 217975180, 1070921212, 633011343, 389203130, 829417148, 229450835, 601846727, 889096473, 88260462, 654871178, 231408603, 286390027, 319962259, 833101747, 785130808, 263619967, 360447961, 99135987, 869001125, 735874953, 849764429, 649321561, 450569951, 447205257, 965951920, 423424122, 63566313, 488916136, 76716692, 145800935, 235640641, 191922402, 828312796, 465477310, 403813725, 207267464, 270019291, 558472642, 454264283, 585326784, 727477590, 715936545, 349812653, 476063592, 358889408, 698239416, 311517919, 18931689, 506415328, 861519674, 527163942, 352303468, 727678833, 712450675, 770895697, 1071196474, 688078737, 19779647, 562650138, 397579975, 44535723, 31086691, 893182903, 405796921, 987597877, 550898, 493567048, 99461824, 562475324, 270906876, 73858544, 532090438, 252317293, 772101708, 6121512, 682042180, 71433295, 39147869, 211854514, 766496707, 1056255823, 340357036, 690938997, 91604934, 441094574, 265263882, 705947536, 399305531, 1020790073, 104002162, 1013779761, 421397763, 708940642, 1003770390, 692423366, 95244510, 653528673, 601653060, 200767591, 552578850, 1055400448, 731183564, 392829617, 376750411, 397003209, 49657197, 676138768, 468864818, 631011100, 152625289, 1036808357, 155268346, 849168814, 569069919, 604629851, 198847957, 707411207, 538052926, 565341671, 495578906, 114299263, 916087784, 75774671, 675396945, 855470434, 314670409, 406647854, 224899702, 742881197, 291046992, 278423622, 143893037, 34316054, 89108500, 473647297, 839835189, 323328052, 356996583, 673021664, 207860016, 212883582, 421872078, 889149400, 487713166, 461975861, 802869047, 346883959, 22795044, 528445961, 276429460, 539559391, 1061014837, 426197203, 578282795, 714486801, 413965912, 817696721, 533017230, 505481383, 713888028, 176760316, 781853227, 84490268, 691002515, 890231590, 706721945, 19602208, 66884193, 968814144, 697681690, 519374064, 1001099631, 329726924, 782807151, 798278637, 527990284, 825619311, 115441957, 623389987, 103176219, 471791590, 599684404, 725053056, 541139559, 1066865314, 705500069, 1056198929, 192132141, 201297771, 987614252, 235652995, 91783307, 140164700, 1016219402, 429190509, 12672240, 780205428, 364855004, 1046404761, 795367535, 457565044, 1004929199, 852790693, 1050848187, 203110765, 905198431, 735644470, 64185082, 417727252, 803071951, 409153987, 375435276, 706481569, 210176129, 216927997, 717964299, 837324449, 396916371, 452614823, 468211785, 996707817, 94527266, 150834701, 1041922772, 373408277, 552693799, 138402620, 155291968, 978415210, 496748744, 897671833, 910465423, 412805476, 644979904, 747306594, 587575357, 68872189, 492353335, 880888863, 805247350, 631990582, 934246028, 963241701, 726394478, 934024139, 951570189, 257995452, 335522467, 134470267, 166976480, 509778767, 202269205, 220587605, 61229489, 286392348, 552272872, 1041700906, 688421364, 108341081, 188185032, 924151804, 197244750, 290709133, 315761304, 822844848, 572123623, 784130764, 288673310, 866704390, 296918342, 3297336, 704567945, 1059250114, 224175823, 911092183, 288741726, 919416467, 479423823, 996692304, 979847227, 1068166597, 588745436, 521906552, 24837440, 279543545, 769340254, 316255627, 966488090, 303193060, 798764473, 529765770, 650541710, 315843579, 7860701, 1065716610, 421335882, 649644681, 150995266, 527990714, 377564707, 38516021, 309138549, 405314554, 802859364, 175637953, 273059721, 456497938, 194035946, 368656532, 975439039, 806792534, 872862110, 204404419, 368475155, 401205784, 191497133, 292281253, 950989016, 411432780, 1009727539, 9094770, 824408025, 692693859, 90758577, 21609506, 399068685, 843651376, 426627207, 717456604, 324776262, 46619002, 551207220, 507869034, 145762518, 317392958, 492012833, 129100262, 110931918, 721481019, 463212862, 1012903380, 1035528822, 310199181, 223957922, 363151537, 964698913, 433702434, 485467536, 250689437, 979929441, 977285816, 468779138, 656353224, 475580460, 330578585, 24692137, 983507352, 6429643, 4949200, 45243449, 9075340, 1050940212, 41162765, 146101114, 723767543, 962130157, 307458832, 75809220, 684604421, 253117675, 421450046, 474866822, 876369736, 104793258, 878307533, 843011320, 694439263, 592744186, 153163221, 915245055, 117590249, 648319016, 447105241, 815246589, 346494747, 321395848, 569349366, 1040131016, 599241843, 364611585, 697823897, 664273852, 61083513, 405280181, 730508243, 500233410, 745964156, 1056426658, 269117275, 133781563, 374750875, 759655317, 864408064, 118505541, 579162513, 1017253439, 334810093, 157787164, 1007782061, 692122082, 898576280, 138519799, 673130013, 375728726, 360751782, 363290850, 1063092576, 877462868, 725757167, 772888493, 181917740, 580721779, 735733153, 613329982, 550837664, 721434252, 842671902, 489139174, 224781286, 390428326, 650028633, 1056598950, 117232889, 554472463, 746915492, 166126698, 888825279, 760603245, 301002333, 356332721, 152222589, 683305334, 1043221957, 440005370, 773366364, 289379459, 58771298, 59509586, 316371162, 737071778, 952453060, 210459663, 846088855, 504907231, 670441583, 974112063, 168425021, 458428874, 537407738, 267570906, 354124572, 56428969, 677950289, 219671165, 1051063208, 645106521, 736227686, 172446310, 1072254959, 486921632, 925207647, 109736280, 487214540, 95216322, 140506181, 481983342, 648357988, 145385632, 640291672, 711257360, 735576511, 1050435635, 740628373, 647266554, 37961854, 995216520, 983183254, 307478067, 292875456, 997792911, 348060900, 1000456002, 417532453, 1041327199, 496534728, 702864868, 1052178981, 539429381, 951044844, 877235351, 591402054, 890386958, 610342354, 327567467, 419419140, 880065188, 459721292, 313339138, 577490827, 844537623, 97273068, 138420305, 448969431, 453110407, 514102497, 520039070, 782928301, 28062291, 623666910, 444295471, 611774826, 735762281, 677066189, 781590564, 803121752, 599870084, 872623371, 662652824, 531591126, 213501393, 288143575, 224772677, 500717860, 730034633, 1061673805, 545796705, 897144069, 617299868, 1002341709, 58604236, 350933791, 476299216, 13617785, 100474881, 250611143, 959950674, 219143977, 759777849, 385822424, 855206339, 985001902, 469138135, 594007190, 574710917, 872510435, 710383164, 718795415, 119620962, 290009704, 774882955, 931688571, 358582141, 869608369, 675742390, 87455039, 1038733600, 523398974, 1035132085, 86737746, 509106778, 32704077, 985665923, 887153417, 330861194, 190813827, 499606585, 382616143, 406188022, 333469443, 961204977, 64186023, 522957473, 751029788, 320692269, 942279046, 200804635, 887912724, 249885364, 894112428, 473724375, 831371005, 850567232, 494937528, 1012328658, 8162059, 83244988, 674737650, 461792853, 986106508, 354352298, 719016801, 1071857335, 964448898, 78274634, 416206136, 827039869, 289680669, 838682344, 806152553, 802028733, 698792702, 24301471, 1028477660, 602745909, 530474821, 842592264, 872838365, 843165287, 254211439, 1069778495, 773190390, 194615347, 982572711, 971450099, 769627508, 68788669, 1071397540, 366039450, 1061172164, 601749751, 147552223, 824870873, 1071438199, 599131463, 756731848, 785881435, 291482621, 277342979, 354837122, 762789310, 993220118, 966723102, 1025296285, 292172039, 549904628, 507607029, 593020900, 25839839, 491536127, 976851479, 1055654465, 336500680, 158827582, 708968760, 219205523, 382386416, 373962838, 282781402, 451560421, 756967794, 424832694, 1033172024, 27316029, 727422851, 903655289, 988447650, 890713166, 291450310, 1031724066, 922086961, 1015163201, 191477912, 28843642, 808410255, 1060928435, 178209232, 1067566958, 34313930, 946707630, 31559698, 943486312, 478651518, 905023951, 930508561, 1069365175, 987086537, 669508215, 498355120, 909421966, 497298080, 416159338, 737784669, 7655972, 326175226, 793295607, 76945502, 629774836, 634145405, 324931087, 282582557, 685970822, 655981515, 135484424, 156042542, 136109483, 540983932, 769469561, 503778930, 732391028, 476411923, 411616428, 536762965, 770315251, 772209462, 669634227, 761184669, 397596335, 592980596, 202649470, 526938351, 1073420000, 415831569, 1039764694, 376133354, 367463058, 821755325, 759439839, 23982179, 905518593, 287477907, 881336349, 249499921, 790735061, 796527892, 659261365, 621895876, 916521705, 494056724, 1062349752, 494877402, 945672489, 849320129, 287313792, 278879592, 926927545, 736105192, 116570334, 390362668, 36046993, 1005224599, 295910819, 502031701, 1063648697, 746220484, 489785558, 211794135, 745618146, 276858231, 836263779, 322852030, 24701510, 301655688, 973593552, 288042950, 691402738, 937318074, 778628613, 937117074, 392979710, 284330286, 184135308, 65334761, 130669271, 437743446, 306513445, 494259843, 760773039, 699292682, 163152787, 411565769, 658566079, 414583506, 305626082, 470125300, 780746684, 315568822, 1046867402, 15023694, 174099582, 551017349, 437627708, 400551198, 327355041, 630129670, 705938889, 44447890, 335489336, 722867503, 476859751, 612474484, 568981512, 127626424, 58630050, 337182432, 768609251, 65447509, 972043841, 525043076, 751047800, 674594214, 280736609, 1045546881, 329873341, 201255005, 843590070, 1049533185, 153062127, 986169262, 973139477, 521007622, 350954493, 707663490, 49355171, 405386696, 85484795, 773985829, 250902900, 242659362, 294620775, 667793376, 138775027, 984434072, 1006182926, 71561003, 654871582, 54383882, 514916628, 793090472, 976113365, 195771156, 757190246, 173889072, 217176700, 787628903, 526588944, 839512912, 833732806, 794642299, 1034855948, 931621634, 631200650, 305386359, 1012708886, 124775312, 228585470, 886064756, 917077596, 620942308, 64433123, 744325788, 809313148, 810401601, 445186805, 507025801, 509353564, 707501895, 872234379, 69046078, 976743723, 437838171, 564294642, 396233277, 915270428, 1059480944, 133196310, 298261535, 684245243, 359807506, 758644363, 853323251, 1033586092, 289359930, 1033086471, 489245335, 267024707, 44231962, 1047500465, 583249440, 1048839807, 411423903, 1071746658, 237551460, 291115750, 288654882, 556445726, 874817483, 288103385, 544549347, 1043295949, 889653167, 879286195, 462747529, 172300655, 426518352, 466327141, 403050227, 68273718, 814549107, 819428178, 615402207, 451539790, 1042703760, 605750018, 277148124, 164726436, 360090660, 148041002, 667736531, 510853898, 700477210, 630454092, 322883750, 667754161, 983847292, 979845244, 631188828, 33094059, 884863993, 166202562, 350907741, 375656604, 866680192, 554530060, 532258140, 780180708, 222271120, 41801519, 765155279, 459436097, 658952090, 432246719, 556263313, 178216999, 529997468, 445356900, 1005654888, 484008774, 914245336, 365948537, 530304193, 887857565, 1002120375, 1043138612, 1023641821, 780401048, 721357057, 709283459, 513725808, 94783309, 625867782, 820816813, 265337711, 78321875, 1035148640, 104378760, 972799238, 150113491, 642625979, 559791802, 644394433, 768297783, 372671375, 454115332, 956210970, 29941344, 1051087366, 248175143, 480294440, 872739702, 129063182, 871406428, 621877315, 768706074, 372477088, 357889547, 896788894, 871385643, 167988341, 21976896, 667921994, 536992140, 517048309, 611087252, 531356257, 949360568, 251006156, 431124543, 174766498, 67684427, 468500256, 838707117, 993608829, 1061295223, 475464812, 542074826, 1061627637, 796709643, 797709964, 246309590, 360447247, 1034894542, 135801897, 1011786113, 1007834369, 106470896, 482126497, 712322109, 268038103, 907130488, 158790274, 620827545, 650708723, 494959470, 590929766, 386139845, 172817717, 487622032, 375924279, 512872676, 444914304, 387324105, 156523845, 49469601, 392733013, 751316475, 766498571, 405761849, 973787545, 335879847, 306523740, 628003215, 769544955, 863863184, 1029506669, 75357970, 854464206, 751004371, 257418653, 688807119, 791225380, 957615525, 351404001, 422150213, 289426213, 720246416, 618324071, 531346939, 696993834, 212975538, 545608129, 922575076, 998763888, 230664078, 958555882, 1022621556, 506765150, 675607237, 503729940, 170552086, 393748725, 786092601, 973176839, 147613275, 808543248, 107678830, 38313230, 109768605, 939266441, 195627545, 183989545, 792035680, 795638864, 366494201, 639703084, 321217086, 290412075, 660595174, 759313918, 133279584, 635329822, 89873524, 373465090, 128860833, 944606841, 961574971, 989288503, 334244237, 694158760, 714497568, 16616701, 805497016, 209484195, 575560409, 186387158, 993386280, 201674749, 659465597, 753140321, 489471574, 862593032, 552805037, 220397047, 759856185, 466369808, 1036917057, 85649665, 1010889685, 492243740, 11984715, 405094951, 813826325, 74936767, 398451480, 47655243, 591675382, 1050157255, 674520691, 750607181, 49326510, 974863558, 357925237, 450485355, 347693470, 548916722, 797535689, 395867724, 650044149, 234048987, 588792060, 729523212, 652694917, 123468756, 126365276, 1063679176, 215811118, 264825144, 683364702, 670762045, 964362470, 240336647, 384707857, 758272159, 144472492, 240631236, 609695308, 810391417, 61618054, 785945851, 373573686, 99530370, 149842343, 1044104286, 274690057, 600725120, 504505035, 227826042, 156356821, 493896990, 14965283, 604566588, 927941987, 162485965, 558261096, 539514856, 54865153, 277359, 28651524, 786792679, 965860838, 177686314, 429034851, 664764714, 762129954, 49000026, 1072226222, 331447216, 694340120, 1039388574, 395367303, 296111424, 790778763, 813181699, 1046486624, 323503815, 592965514, 993083864, 1041570464, 393392301, 533293694, 282355850, 395377183, 114747702, 181556254, 769359447, 1046270245, 660784871, 653154024, 567740522, 497685936, 385748622, 1008124764, 993727075, 36397670, 83968157, 58347144, 290911454, 119837371, 117014486, 1056549431, 789108920, 171190154, 331574358, 28914433, 345663072, 653363190, 1015066101, 1026643466, 231452747, 418219211, 46076432, 1055638562, 98058547, 425220744, 945027091, 1055997107, 947678024, 766852794, 522149784, 985038661, 545366956, 106465930, 237923747, 866208569, 788051147, 660028137, 622213928, 73566670, 96095260, 565703175, 284173109, 516191584, 557634965, 553729235, 101392082, 927490726, 390177182, 528022673, 165396033, 702212271, 404898651, 988132583, 92947432, 157781499, 653537588, 158939338, 717011009, 45290390, 827313415, 587861078, 647867241, 763051576, 263323901, 703093463, 308833312, 168947640, 523215368, 179455721, 1035940518, 400351310, 284176869, 650210093, 964340209, 732873053, 381422740, 552077890, 422499245, 167250163, 933009858, 393388543, 646067540, 157868010, 559076274, 648361330, 1002987487, 389619843, 1016930159, 410462605, 913618561, 887877655, 600760757, 706377851, 838577655, 656626080, 369904490, 32172695, 10344233, 703157446, 499690975, 781573041, 639131882, 78964572, 540158527, 577051560, 150249812, 147366683, 808511083, 106088837, 462012086, 679580202, 146878764, 698174516, 642049131, 1044215035, 858477011, 240005173, 907391285, 348864968, 660169049, 180405553, 1060999093, 95016627, 233778383, 906870242, 1067028239, 321335429, 184390541, 946667399, 51966584, 841239715, 79094146, 123089291, 699562199, 192775788, 284568939, 37526167, 234218695, 110223402, 916171713, 284528996, 796125478, 555538743, 324806374, 1020319136, 501408287, 972332319, 624142477, 183664112, 1048659041, 325639196, 489213002, 756860868, 363475645, 671557011, 187428913, 368323788, 556362726, 1070531996, 606295608, 620181317, 1073081507, 394289896, 406477371, 206761870, 855343078, 341052751, 700493470, 482991867, 269782433, 818917496, 122434126, 95060058, 261893592, 8856039, 463063957, 420786998, 638140544, 1013175389, 116367770, 60785243, 968371137, 557029644, 480339660, 681740638, 257023125, 776825363, 685528620, 391170680, 743713298, 325579872, 1045729872, 673725770, 481804116, 160508956, 198112726, 241986923, 637597705, 908569559, 1033966959, 776870220, 890255062, 398497302, 245173541, 12123384, 340814999, 1027522496, 730521641, 391187768, 926582099, 175253114, 135568295, 59052825, 946226408, 354157364, 62015666, 513815369, 717967864, 1051740017, 44699852, 573773892, 1025556492, 688829954, 653196056, 609857411, 888712763, 512522684, 375568658, 876095151, 127161703, 1048683120, 966144092, 597182691, 351923479, 158699546, 452320237, 276625634, 229221944, 822518140, 122637756, 259083325, 671272454, 18810454, 45922660, 75887761, 136070596, 354113298, 687650207, 84826595, 85478956, 626732277, 559909038, 613667178, 602105316, 351649628, 681929034, 997177345, 436898485, 516821974, 847005496, 1034656019, 230957410, 312819889, 221942178, 1014775062, 60374246, 991963310, 271706280, 253420161, 996847256, 624207110, 141068919, 493796824, 782282492, 558526476, 169447955, 989879619, 856018792, 444205826, 632569695, 220368337, 848663297, 119486864, 854672225, 817773198, 423347643, 21427267, 707075555, 916525242, 550342160, 590426269, 137376259, 590761398, 34967286, 467770504, 1057780846, 988391001, 837501353, 502443230, 1036225089, 1054882759, 869413935, 366671061, 445895626, 404511242, 518746138, 775349376, 361329649, 557965776, 764661823, 691941379, 981049357, 239096518, 328576452, 568514317, 389094047, 761898915, 800161484, 501364090, 999865280, 466812718, 766243211, 719877726, 394539048, 664981155, 808030944, 474322850, 958711165, 107253653, 853806253, 965681843, 913264682, 205222565, 929503229, 920466719, 279268962, 805218775, 19748334, 19297944, 258820200, 411027243, 46273567, 634155555, 359633494, 451516370, 902265520, 830992759, 400724997, 516573560, 430561741, 1056996146, 697463127, 711963407, 482272253, 900795944, 788567586, 648998287, 148505451, 983418148, 94748554, 398279046, 466619153, 492725799, 39125676, 186050900, 237666059, 1014716368, 599144842, 975116067, 610004695, 929272648, 780597221, 244900869, 286328828, 302371632, 526068395, 462761636, 780160169, 316045527, 193797697, 574724439, 698578907, 901734391, 97085363, 177683426, 413643512, 832876567, 992910095, 1064107604, 52501168, 312652038, 195811535, 575250493, 711240778, 980169258, 930682796, 323272262, 203350023, 789604357, 906205014, 472828735, 143010010, 1043588042, 160611474, 942661957, 370352669, 40780776, 1020696566, 415285320, 594752093, 667820752, 110502726, 859551392, 667191032, 1039090954, 460448299, 672679948, 453291879, 246789337, 130066128, 854054862, 98458305, 427776901, 106590416, 757830317, 769766432, 106429512, 719027697, 26806570, 612678863, 405435997, 437707113, 705354193, 766613702, 1059555569, 716825301, 356363753, 697028191, 19131023, 704342114, 824214412, 934252121, 957662982, 1000582358, 262648178, 476032113, 461125560, 79799433, 116072818, 914530546, 76423872, 12669086, 222889781, 777164999, 274239238, 888513945, 650754902, 224552974, 180485507, 211654679, 364353993, 532948956, 868819278, 804597171, 413383419, 993143458, 759778300, 939147369, 129221116, 644084770, 407015269, 196193811, 323473782, 403929373, 440277597, 359023306, 157098751, 787139433, 980897514, 27925570, 863001321, 170691854, 62661089, 843258248, 942610592, 854949404, 607174038, 986481877, 772472308, 38729760, 754745793, 735450522, 854538670, 94714841, 207886521, 220199898, 278835373, 388662089, 736308184, 456765908, 615082729, 43557179, 138612027, 185247026, 517580882, 621955262, 574531327, 193648769, 366288477, 504941343, 639708711, 327414724, 315305269, 952692333, 361769757, 876382334, 498857130, 551514461, 579017452, 418929631, 429307472, 1056257810, 881090972, 323794193, 15537467, 424764521, 30882959, 308934173, 384267111, 668560297, 926145399, 817660400, 1030968615, 1013103677, 1042847991, 1005641561, 1066214376, 648565208, 328664857, 807468311, 567372391, 162454723, 835744088, 870503040, 662380326, 687628804, 390769339, 25839886, 251792753, 782868496, 4194620, 914357466, 158687861, 1006908936, 148423318, 752033054, 562523963, 766826682, 603901557, 819502870, 457978402, 153173051, 98172360, 352160780, 241899323, 448700600, 593483697, 855788193, 960062751, 398023738, 464647476, 321213624, 687552282, 729408818, 467911293, 373205714, 900002376, 557581333, 923689844, 479014946, 739799918, 77877300, 668997586, 842161210, 21006279, 503508141, 1046492336, 396290926, 603187347, 378441018, 1050492466, 1054433731, 608365133, 1061841390, 672307563, 441761783, 397272227, 404416106, 52346589, 789034684, 671684012, 621838034, 948426681, 973122955, 815453213, 324757240, 910758272, 902883387, 155447924, 666267747, 748750512, 704383401, 260887588, 419690680, 586340660, 544038202, 472762595, 58493129, 1072360756, 572832591, 487213984, 135074434, 435827014, 56860169, 434936572, 59295335, 841598179, 966640035, 875744494, 624066039, 1060481117, 11033269, 132755018, 675353022, 517275161, 940358954, 987662302, 70888975, 539374801, 694211579, 39873086, 1014816193, 564382769, 735795061, 223168785, 858869617, 222543519, 1016032819, 816325901, 863502486, 627481701, 607633317, 842170363, 701808197, 144561820, 476634500, 1009676001, 345751854, 226681539, 70779657, 245021646, 277136792, 680192221, 852413797, 969519391, 504322132, 383445618, 323312171, 450918906, 902568678, 3412578, 154083062, 858156074, 297393930, 477881262, 507242939, 674240081, 1001187799, 580817010, 215299825, 244884731, 474855081, 594593574, 13034087, 80216487, 628550116, 439689936, 681733542, 964907143, 1029397356, 328029163, 354762016, 60490973, 1050290952, 929897310, 441297381, 895139589, 911881730, 418199602, 993821105, 531035405, 766937474, 734165616, 349862867, 798402866, 448591489, 278877416, 208691989, 802860949, 91315457, 990814301, 978125540, 402280194, 375053996, 40110488, 70410409, 1003180602, 20229205, 321948085, 131245596, 1012471625, 658531753, 608737756, 1050909335, 578955787, 938503882, 297403948, 906023513, 295198539, 954275790, 811485478, 135431600, 571865654, 336692571, 638333983, 210316260, 516372137, 886961933, 578662012, 336248401, 49418259, 485958037, 563868912, 905748197, 3354494, 200873440, 421677526, 395318803, 903710910, 763151691, 1069821053, 671067968, 583471267, 430892460, 56356163, 886495276, 920621072, 1044362894, 765034030, 930452640, 973490298, 971430786, 1026438141, 394249489, 110928591, 687050458, 233925558, 130351555, 1023231274, 366783843, 685729776, 659364532, 681263922, 122071610, 622379146, 821649234, 625972769, 283277544, 115256949, 950212374, 651209182, 288709174, 781681273, 488608971, 201027751, 447822294, 268381982, 526059117, 721812051, 427745538, 203824500, 349091517, 576620541, 215507885, 662717062, 398630594, 604710607, 186655451, 100849238, 769846391, 768849713, 625137975, 258311775, 217359999, 2634271, 141239196, 317559563, 668322764, 908586762, 51290015, 887781686, 302996143, 626495237, 903035563, 648883716, 373785491, 814055648, 648765987, 953006174, 148252071, 562915110, 293231695, 819532255, 857841780, 588156067, 1053685667, 1052929538, 920300752, 980602117, 774437395, 715251263, 284538758, 880240271, 987817403, 426780667, 558555542, 426071041, 530686071, 218753910, 609926015, 369097867, 676843750, 1003846983, 207640039, 324589760, 763271331, 572296431, 746126476, 107766417, 271499292, 744589802, 973879768, 133293314, 248454801, 733193117, 920654166, 1057851599, 137989071, 736741875, 868825429, 767348878, 215171965, 641378799, 211633136, 603074503, 603468218, 1061367122, 935657608, 1032256010, 691301070, 783706628, 753278144, 663295839, 600416014, 168054142, 1056430853, 873685813, 554145803, 303450153, 657154950, 501293985, 348989774, 701477244, 1009286773, 1003096963, 1006336858, 1036700017, 695992276, 1059520729, 793366779, 913396729, 788719709, 609395669, 1008785156, 505088217, 791318612, 529171009, 535555725, 1056211434, 605683050, 399551132, 223455111, 547469872, 553787384, 304478209, 768807152, 115215151, 946962822, 226242285, 605244235, 195823882, 505739395, 782755650, 788702892, 399745421, 59483206, 940384491, 444908857, 145051906, 832608258, 112412642, 399649644, 55943218, 546001590, 212543897, 173898882, 393416699, 96631157, 579471477, 993302867, 866969936, 483477883, 509932214, 916930648, 621593912, 520079183, 1046083449, 747019886, 48569127, 615132268, 957690502, 951846813, 271169136, 883316358, 611500513, 392785870, 547778473, 681913720, 957287180, 264088875, 13973744, 351032094, 136847195, 259688823, 991117327, 745974782, 248980413, 287299267, 452313893, 951299510, 892612571, 450965162, 760496251, 676761550, 450064928, 547987125, 424736175, 315866258, 968696662, 509222452, 658257722, 445562190, 969707666, 536297874, 234694584, 778368252, 568237522, 490651301, 323986779, 349936040, 715442236, 890611050, 560109323, 859588167, 868543241, 322049828, 719705307, 119929050, 883289224, 249031123, 596000595, 638256876, 31102862, 611004829, 638376999, 419410186, 216248196, 465058266, 209072450, 820378730, 409216350, 687749829, 454193206, 219549330, 877728114, 210811704, 951383443, 226689115, 707628959, 269032177, 760270724, 834019569, 376240925, 352390648, 312712430, 524215253, 1032956768, 755368622, 1010432979, 1071297302, 166388358, 67908831, 109823801, 1041227510, 257019178, 39656287, 30206578, 467680374, 14148673, 373485916, 691338793, 212611619, 142937296, 4054323, 694523625, 523609218, 810981424, 329561165, 114319077, 960648354, 27528514, 377540538, 36133194, 272316585, 92654024, 652306535, 381659749, 141671207, 1029263952, 393052162, 40851118, 25858373, 978050332, 703871468, 720844074, 835447628, 133517904, 141816310, 205341396, 468128947, 966177040, 484910941, 124429452, 393781102, 520946505, 343027041, 356887726, 3652115, 821569412, 547420035, 412648219, 327919916, 30378186, 700186961, 745601908, 541895634, 1039264370, 1007019540, 454504685, 945866946, 678420160, 137514039, 240762396, 199010879, 763250272, 166084008, 380180939, 422397292, 979904649, 13932844, 457258430, 810598054, 553684730, 72397475, 937239573, 881363002, 1004090646, 93395875, 36388804, 432205071, 46088980, 906358672, 798077201, 90851984, 53593985, 919904131, 992561424, 777705730, 189575925, 672934262, 317062909, 1022249981, 216101784, 491456119, 935871446, 307473292, 12341602, 74672450, 773563330, 255476441, 474186537, 436671677, 297480945, 995589444, 795341409, 356035500, 439822791, 104824943, 53356251, 912231291, 719446980, 1034424025, 772945553, 36479254, 461420969, 708899667, 317277356, 708863412, 253334870, 194248398, 161065722, 350683048, 616671007, 247268220, 986916709, 279165508, 187882638, 599454887, 843428720, 283793613, 895491252, 83985203, 957962584, 638582999, 33697799, 652058749, 529511983, 280741525, 581843624, 364618563, 929650319, 602496037, 96553858, 964120113, 1056194582, 397905241, 578875908, 441879460, 255348481, 190585888, 762950883, 350626196, 462196721, 462007894, 929230889, 960434693, 537776854, 365688234, 253563600, 833141427, 874485123, 647895388, 152680997, 506075115, 636953290, 98602764, 388894565, 881634748, 623890951, 318518848, 336493321, 48846063, 1057863704, 995230074, 417836685, 65905236, 651267451, 356842477, 1001383351, 475685507, 773613093, 230202582, 760153816, 678646311, 55398032, 395652699, 386224585, 705085624, 725245479, 88852872, 560251904, 757156083, 282236400, 481915155, 477265857, 577106386, 467478127, 968452978, 465355425, 297778436, 1024386969, 547136534, 312757950, 1022325502, 617582260, 246299172, 1061333578, 860289569, 716660842, 190696670, 67427698, 927102472, 588196392, 1045825950, 387147463, 211344997, 821456110, 171144075, 1065294734, 1043598477, 56432794, 299151055, 193831893, 286210478, 487504200, 133100978, 675261960, 276195798, 427069361, 673691968, 1002014231, 1058588134, 671999225, 292450643, 785289018, 1058002120, 506827448, 463731574, 1051045260, 373537479, 283437275, 910615783, 998038094, 952603223, 286468094, 176525937, 970703129, 990957130, 68741921, 992003421, 897558196, 650778542, 408095761, 806044688, 659941857, 997489692, 531409865, 537412708, 277409959, 188475851, 432545337, 625021841, 793997049, 927788136, 682550244, 76584758, 1014525763, 972764681, 829190789, 869433592, 768720913, 784005630, 699949948, 181316990, 440856586, 791947203, 317190916, 1072763133, 856099278, 705720093, 891952834, 444261332, 1041605346, 735736676, 880994408, 701686392, 130464471, 369931362, 917551959, 924214282, 719008478, 820463058, 364864726, 6312073, 318027842, 790789968, 529964238, 37703711, 659042312, 235610381, 170146500, 448812472, 201371143, 1002040980, 165492816, 13191563, 824264905, 82253964, 528030183, 846576095, 248441313, 1016965080, 432047406, 294262837, 583079100, 720248572, 358274692, 805399140, 83564288, 544377612, 693213636, 990705904, 595194926, 542596899, 762480286, 913446345, 482312069, 704205892, 973428962, 425141932, 90451565, 701812925, 693707766, 962940006, 973652588, 253789612, 700824805, 268272161, 159136506, 262683786, 252316329, 167135997, 618312234, 396859123, 947164553, 837165469, 175643955, 144771654, 410687363, 141740120, 593902546, 463278629, 338044436, 751233284, 801517470, 869137336, 119472338, 94072352, 61270763, 809096997, 521363144, 269320960, 404266268, 990552439, 184013685, 604824767, 722684313, 477398915, 114393899, 314713583, 368458293, 996837270, 808475383, 1008647774, 674905850, 685311856, 923186536, 47038586, 609211079, 68507465, 918291687, 828817926, 1027902871, 547578625, 774687138, 35799835, 919949446, 925442411, 687256225, 200169711, 1021365897, 932147694, 87702236, 957972228, 168177339, 556271675, 56173277, 997833289, 966601475, 936581635, 541808507, 727684315, 1011052139, 74318483, 194473920, 508279159, 776129091, 331118001, 339018290, 57398123, 479815813, 351799394, 578629997, 665124306, 109153670, 656971642, 1056668552, 721547595, 995867566, 917089517, 1073241125, 65667293, 401531104, 149804835, 901444060, 41014764, 7153852, 165514513, 442028200, 324132556, 218339178, 771930918, 96182307, 1063716260, 964941820, 563213477, 189035621, 585554255, 103275717, 27121436, 344246548, 938808903, 595858743, 727195033, 621700208, 372930743, 818208599, 952081503, 764854459, 963474067, 431002410, 1008741421, 498012008, 508034248, 897369140, 866782296, 831277410, 39582784, 836582063, 99310161, 525165700, 1034507197, 956279692, 900550150, 604976993, 102238952, 406370944, 247098819, 619573740, 854530113, 583395644, 893570490, 454115987, 774579677, 1005722858, 48545770, 780542546, 316111497, 467657237, 409636412, 63254475, 160724980, 751006581, 536691682, 930837646, 994763133, 420150245, 266164023, 343824923, 730410540, 158654831, 915572568, 731757687, 948350121, 993408523, 1056284792, 1014107441, 193027444, 910757232, 775146597, 746260088, 891712901, 467385231, 347268217, 794738458, 645688746, 952137672, 26078474, 951003596, 137028272, 1068332837, 733505770, 787123302, 922207431, 63965388, 111016183, 463539414, 640985537, 739811207, 402700665, 593885895, 252461530, 602181271, 481271870, 1027956573, 988956817, 984973739, 557106836, 713342548, 73569304, 313684163, 336713812, 674596012, 610679089, 982585652, 440175769, 517868908, 944926286, 1067721864, 952028962, 330096344, 450700243, 831374208, 99609500, 31292771, 547923537, 1073179124, 522911512, 866970824, 419105679, 186918206, 181133617, 165875986, 1032858273, 38369527, 74748103, 1040910176, 500780859, 374885852, 918408639, 82634319, 39822564, 784529125, 392759055, 529711189, 670960169, 971757319, 204530441, 464191947, 1030230483, 484412170, 595036546, 938087085, 1056830924, 918095812, 748911929, 727281502, 255766629, 648526905, 858748775, 393988214, 781585400, 12477342, 308810723, 916896385, 582143345, 816967772, 154001728, 99037848, 275856402, 157105473, 74789769, 347768569, 103231902, 862151312, 1002990748, 703825164, 94909502, 389997359, 166124994, 1041600260, 245770485, 946365655, 263716248, 289491086, 502532476, 748990288, 198721879, 1063781428, 885750166, 13791399, 202096917, 785189339, 712657299, 328444453, 611350581, 102252583, 578359267, 239771203, 881581801, 163839589, 858318779, 753821506, 194674362, 350532910, 25632917, 815072709, 808244509, 540719734, 727646580, 583436588, 776804600, 940168159, 12297195, 523850813, 823403328, 506683070, 630741332, 517238657, 704217759, 1068715244, 700010520, 119105843, 686527943, 908415298, 882504453, 126874030, 968997706, 616031282, 602733726, 256406479, 232132628, 459746971, 666777570, 41836068, 164430620, 97893780, 693604933, 934749332, 414850649, 559310380, 603805314, 827291321, 348365498, 283005537, 497008863, 673062849, 646752211, 850210220, 613465170, 504666620, 390577325, 1024087706, 952890752, 197975453, 638224221, 7959005, 281989903, 1009947582, 1156979, 835532848, 479119056, 954358713, 66347095, 286206151, 632310503, 1014582373, 214823749, 349065663, 457726267, 413724386, 321370099, 503308536, 454572529, 35126187, 566072889, 946903421, 608124774, 677060998, 125578890, 715453132, 796494864, 999468375, 888251466, 348108357, 724477719, 830645169, 530784941, 739712507, 397139771, 1045183622, 683399654, 479400830, 895869601, 464170184, 355604616, 834271580, 665042659, 278012719, 853223827, 316845393, 108579424, 273707257, 162093936, 595482314, 147404714, 403644056, 448494769, 362523379, 1043321392, 51381997, 829295444, 518124554, 303008317, 884922290, 133893855, 667975279, 1047440485, 199120102, 164118226, 774976759, 82944720, 773831925, 938290481, 823914464, 552236310, 216341074, 726753244, 400329097, 1062556165, 639389971, 679259821, 1044269217, 296155739, 536170166, 76444382, 622946978, 260062135, 71126181, 286934145, 988856083, 748634199, 615936568, 457370989, 73502340, 629943064, 240207201, 850691015, 292340837, 256772149, 230640256, 942598780, 850081069, 690263058, 600102355, 721407700, 329907686, 1060791103, 161074008, 347527738, 291417957, 803949801, 961176552, 31105281, 662029936, 718571913, 687365277, 296228815, 27522038, 187236121, 382637741, 1059116164, 1062701886, 904098809, 359667830, 198198915, 572102672, 1052199967, 82145845, 690980003, 641963813, 687712355, 928093064, 564263306, 976449394, 247009113, 203983154, 1030480633, 1062976227, 915431276, 718307367, 324777419, 389290564, 125718001, 651044069, 972747668, 918941613, 922603132, 137394286, 488637031, 478505176, 498082625, 736656245, 477020414, 889858873, 968397022, 326009541, 654722642, 331603028, 338036046, 1040402322, 641201389, 503867002, 534356169, 702029404, 202508497, 942823323, 47514368, 601558477, 965360436, 464534668, 90656240, 1060547033, 505065120, 33543891, 129229214, 384171464, 546693065, 203349933, 178912143, 311497652, 361891966, 147473512, 919117443, 548024807, 299595474, 885260443, 380631133, 725811800, 473744269, 257406034, 740932590, 279245708, 1023828840, 1029027862, 590753210, 545578394, 191131551, 1018999398, 298176914, 879696339, 18891345, 164693111, 123084648, 1064151450, 352478363, 829144491, 638818591, 279440523, 446453780, 437004176, 75777454, 339023170, 453480987, 65732395, 376930466, 815468383, 638508265, 673698667, 562881997, 425756192, 400038025, 1041558564, 246767624, 964193251, 490229150, 937937879, 68980845, 1058463817, 276460003, 201306288, 591220130, 331744104, 10898608, 229360999, 541461872, 440519003, 9999731, 667751544, 858295922, 947185794, 278415474, 63341097, 262698610, 116404771, 29744975, 315295391, 198453454, 88294904, 735202928, 14845818, 897679005, 53741131, 255051438, 356101510, 100749951, 222256011, 343725341, 168153684, 526476409, 81220526, 313164529, 720245524, 141423371, 902766838, 55034459, 427929580, 683867093, 520148355, 528602880, 538637838, 866984234, 167564780, 377310585, 22611864, 523760047, 833379402, 548975571, 498297077, 497104076, 739297135, 631607576, 909262614, 392398653, 654188186, 515757720, 1055146048, 477135914, 608198375, 503757607, 276578854, 570923174, 498950838, 137462457, 6172181, 350331031, 724423575, 68927942, 84275972, 66976216, 920619746, 67829826, 821038076, 1022400369, 40335544, 349239857, 287416697, 90488091, 472133042, 634651541, 875256487, 914760976, 1032277766, 755192512, 117565804, 322322360, 168046681, 285959870, 396314640, 641021796, 877437853, 359113422, 848629137, 976876406, 293897073, 379633553, 973165564, 621123543, 384608919, 972629645, 261089646, 354903038, 1058937980, 278063243, 158895192, 462582471, 1044913448, 210451296, 334888496, 703307964, 601917227, 359899988, 929718636, 630146029, 443404639, 585038029, 777103296, 548569334, 1021938240, 602837158, 997754519, 115392956, 179214992, 267717119, 1020736235, 468011688, 809897932, 1045642286, 883128454, 1061748687, 454658354, 741373791, 657391296, 210349859, 599493907, 402458823, 787311639, 463646879, 615782914, 73458477, 638298708, 914346647, 704019366, 18487879, 1062988159, 542022750, 763748841, 307477809, 1053609849, 834229494, 190543688, 268828186, 397193862, 66476536, 714658234, 898182954, 439033336, 1069094230, 344485607, 625350761, 495596066, 1011835322, 404248828, 681712404, 913673237, 931481616, 933212432, 792355828, 235620565, 781122021, 571586356, 996694974, 67076135, 613964622, 464520975, 575404780, 325094199, 817858384, 918973848, 646919862, 707536896, 631849431, 336485428, 645349682, 667503542, 512772469, 489505520, 471059916, 389504549, 469975008, 227953632, 359442588, 1048168906, 1045413070, 667513690, 808488990, 809084375, 809192032, 849911232, 303406909, 609323635, 870746341, 298715960, 28491416, 241108613, 667437080, 39213427, 720921095, 504129749, 628299738, 866140749, 938174088, 839069808, 968018277, 433625213, 404599986, 275119364, 771619883, 17290374, 778868483, 543216144, 275485569, 260720545, 144017768, 458709789, 98270932, 849671837, 1067058678, 185568001, 895196312, 620763188, 547725892, 921273851, 385805196, 473896402, 528638706, 772044538, 948588708, 34736169, 100617282, 826083845, 380542806, 851478945, 648290338, 186269437, 148525213, 170361589, 364581345, 988743021, 437503778, 605954388, 514146427, 938793986, 255489522, 451570456, 721169141, 99978576, 510179466, 88199620, 546124425, 322000840, 195883075, 1003188580, 643774513, 63870450, 502771217, 714754292, 321854980, 154885541, 496448707, 205957977, 587599044, 403359658, 561272910, 547065029, 137774961, 704190044, 590393972, 636183855, 619360435, 982668602, 878357135, 174889966, 666847996, 687317793, 167128769, 382131102, 132460422, 656613560, 329061270, 368063984, 864046037, 20686911, 722332641, 238934468, 941782214, 5702201, 130458368, 519255708, 940288820, 101213123, 80232667, 1044049262, 265344871, 887158260, 672695349, 1012302590, 539568106, 234215400, 38760868, 867333761, 501376231, 690418828, 733462080, 44206116, 535703583, 813204019, 369650671, 474941230, 214431136, 506561767, 283209978, 93521280, 447737825, 116191834, 76413161, 1023700467, 678871316, 1070193334, 792516493, 434342722, 343447998, 817775072, 397494707, 84049259, 748607691, 656010899, 790249699, 182805269, 235691034, 303304140, 650992129, 495799425, 438897066, 115020285, 966669022, 77723245, 899097561, 686918284, 740363501, 84997806, 422128049, 211298951, 183852880, 1068451129, 42975054, 450518439, 524382076, 323645157, 248974536, 296486496, 784717282, 732532947, 278448869, 891831058, 304004296, 25886857, 89008150, 955473710, 1024353424, 999081718, 221499548, 141697504, 477951898, 466275737, 299313145, 746222166, 538811996, 738168355, 998050873, 242333083, 939435558, 354334001, 360105025, 3980180, 528435356, 970154083, 124387424, 555112813, 959062420, 1035812666, 144093352, 683765048, 632058777, 731846094, 452153421, 558920543, 14138557, 98771551, 806715054, 895923853, 633634426, 260442917, 179946131, 900538699, 1018856996, 677812843, 457006073, 136762774, 237784879, 1036754456, 997516754, 300525197, 888821641, 897180876, 540249759, 824099723, 179567534, 671536772, 37623459, 1000798821, 425937471, 407285906, 72177512, 986100609, 400422590, 289256424, 673543213, 508884442, 255720063, 825542274, 684108020, 86101286, 812224887, 375248328, 516950006, 158110202, 340208063, 232410009, 1021238871, 273188095, 814909185, 268486650, 479107211, 267869441, 855361232, 1008229061, 684224829, 107556640, 11604426, 143500112, 518248254, 326639280, 373122152, 931926597, 636705415, 445921080, 602264225, 25457303, 282260746, 512542361, 706461056, 731057491, 592352932, 16312212, 483474028, 287503347, 876031176, 962156149, 261006551, 466346159, 275504689, 612855055, 1032585431, 324721162, 697683009, 927126600, 301319058, 1033429394, 247028507, 742564693, 957901019, 987320598, 567668764, 875530640, 725950323, 547119878, 239161756, 976495813, 248757460, 234884608, 273322301, 131486786, 709772862, 258757776, 662492941, 27101251, 975546170, 770040803, 432516134, 978213325, 67581929, 1000593258, 1037319446, 411367293, 487352672, 330338390, 1057909799, 708843196, 715191165, 981159736, 230254575, 823052608, 79520988, 187472875, 868614605, 363850330, 1040403713, 251994035, 677148167, 229594183, 248026879, 127739151, 514200419, 231304528, 382478714, 1064098108, 698439122, 949996778, 1038783602, 882596180, 749811040, 445022286, 536153455, 413704992, 594834912, 928312849, 535623605, 655479819, 213405513, 904731893, 1044588377, 13061005, 239639898, 981786135, 212439099, 1038915069, 926311882, 1053537908, 391597097, 988652264, 242985355, 975277897, 969363899, 506324024, 518584315, 1046933233, 434506661, 1406417, 706730950, 580804960, 351933722, 715921276, 103477817, 130298690, 400163534, 973986833, 1054678632, 878937331, 530088371, 237916728, 682746273, 228608058, 391089027, 219203340, 406934266, 249097431, 827314157, 99559033, 417708780, 309131890, 47646438, 562991628, 647910421, 84405953, 797553443, 784970648, 1041276377, 263730175, 1005158414, 254582143, 466164469, 660041074, 515846039, 320785080, 289801029, 244327807, 980837240, 435646472, 881737672, 213385701, 1036616640, 890790561, 270803522, 1006557815, 7746393, 169105190, 186288292, 258310904, 264980904, 194242794, 846202048, 264128144, 870554886, 899428591, 58657069, 656320716, 432567273, 368187262, 1022953939, 497303536, 784109714, 951399657, 948179189, 612098445, 948268451, 340907093, 642197153, 261777471, 425116439, 198325002, 681671606, 157795737, 693411885, 679635626, 92648728, 210539928, 761030681, 224957699, 268948515, 1014660710, 890321225, 712434378, 404573728, 325715085, 222922157, 425273131, 740630096, 487748606, 489279555, 588125791, 194590536, 365972059, 625526439, 362818041, 616988908, 167660703, 875441119, 121034772, 285457376, 972499005, 383920244, 693350358, 769576111, 1047236873, 174282236, 80186569, 454842821, 367739518, 588573591, 350700527, 738886723, 670479680, 192515166, 868644257, 955607921, 405803281, 994063932, 907380876, 90391536, 830257354, 606534363, 994099182, 879319649, 399259346, 365767161, 86578372, 1018021709, 57041237, 919081035, 290629089, 478285423, 451314098, 526897841, 722149353, 577959942, 235686897, 768607502, 798819520, 476831317, 841823887, 921507119, 47814734, 547106789, 31784185, 226643700, 293184385, 101255705, 958222895, 533821644, 174110764, 712811690, 784667561, 189113848, 143652221, 605117239, 103307725, 863819551, 286776455, 776383869, 885016157, 107868782, 274947788, 38212827, 213426630, 137428026, 806791164, 965892316, 209209839, 13161080, 855468226, 431088081, 288973033, 1008010959, 287573101, 294939159, 766131273, 368415815, 539362560, 823441697, 818763569, 676734340, 580689397, 962719794, 665608557, 9126365, 455621582, 487208319, 840422122, 782641732, 109630406, 731089764, 681093771, 604051071, 1030373517, 1000792493, 46397392, 450020794, 294079392, 794989888, 874752964, 584520872, 633450492, 79185907, 166231795, 931552906, 696920305, 328420983, 394778520, 2604527, 56484742, 20787714, 123227826, 85387175, 339130575, 1067192217, 989131660, 577774338, 842401667, 901198045, 98292621, 729154766, 343762592, 753790660, 70527229, 306022756, 198423828, 565959376, 473815506, 209159568, 699306676, 157277743, 348783629, 35487330, 242344136, 610183223, 570324421, 392813808, 766519256, 1056642791, 136795718, 213529796, 489631392, 1006098986, 638924504, 827448407, 563548636, 552633311, 526016070, 953770022, 640538770, 1021429063, 216282406, 459832206, 687767442, 922095650, 184445361, 695103737, 961502500, 1066358240, 770454370, 1063533296, 859113970, 27913719, 351400783, 66771296, 396483338, 198734346, 237323341, 207019529, 926766180, 167855954, 442693366, 728623939, 1005252064, 68068767, 183970872, 952844670, 532458963, 935930909, 122762602, 170268395, 256121188, 618044983, 360359084, 405732212, 600052245, 970089240, 583112084, 302624655, 128444803, 721297943, 645132796, 854451063, 414955244, 473389910, 922780723, 1047917555, 319137591, 685461263, 410609080, 64455988, 470743555, 53960756, 765930031, 624417098, 539759934, 533575974, 347023508, 675221137, 106374871, 28940196, 797952255, 286624655, 601595199, 26371408, 698648862, 97364667, 532328703, 364431771, 141075315, 565127253, 236447658, 154056113, 274031757, 147764945, 527508620, 502664946, 153812554, 385178159, 861657941, 288870989, 770011646, 50709844, 522667219, 12105023, 393952650, 784398273, 684684744, 700266335, 975382617, 634064509, 918753930, 1046770465, 802990172, 604882950, 171142083, 591851437, 782702876, 481622, 350176361, 578516128, 371446567, 588223566, 159624973, 1009095349, 258585734, 124153824, 691796791, 235536427, 32621156, 486311136, 900495259, 1017213763, 502177584, 943136719, 443484696, 751037780, 884284677, 212520844, 403751200, 630882219, 760402613, 3385893, 242909507, 239047470, 677093941, 909600948, 395864800, 754377390, 814327483, 486453279, 232376187, 1045170090, 629820381, 80702378, 316462687, 168344749, 565244623, 7375520, 568484997, 846967123, 418808447, 835604, 740456919, 75381762, 666474146, 15967329, 42764323, 894214220, 518052832, 85957589, 116309134, 164209353, 561564798, 872395931, 672036989, 953036342, 420088526, 761682876, 510414522, 301681141, 312684625, 553901404, 984595550, 511499838, 324842418, 117011524, 873282879, 297054129, 472482841, 705867004, 673232298, 774435333, 376962434, 109004589, 806856857, 509558789, 381466244, 935158242, 1024199455, 545299743, 222448529, 361655006, 891524516, 900349205, 249490836, 553435343, 744855511, 476900691, 144466040, 57821505, 25070654, 109610903, 615518019, 769670509, 802591666, 172501046, 398604336, 493452983, 167807505, 452392451, 404243346, 390094117, 918615821, 588842404, 586207729, 490436952, 226181804, 96257866, 591489264, 964499407, 498057977, 690565294, 74571446, 277437438, 858693227, 1008736796, 656439322, 42244109, 512024905, 655230570, 272962337, 744747645, 159499764, 596641463, 314768621, 1073478706, 416509463, 460317278, 76908284, 1002272317, 772861522, 477544059, 241258501, 680562139, 175994094, 478554126, 985070401, 339370243, 923113632, 47762934, 211685367, 972511645, 511162680, 819901712, 536212322, 368825360, 166831044, 846139497, 815109487, 41042956, 125691977, 822382977, 304515987, 144389975, 234532421, 395530612, 402353590, 155538967, 919501284, 847599961, 788889182, 412736565, 354308120, 301611597, 539367046, 352355306, 588333296, 867649463, 485698342, 276711856, 154378896, 368875917, 432978074, 114549071, 862558729, 251138803, 270752299, 825736557, 248464937, 88753974, 759661462, 780040851, 113056121, 80150245, 284258782, 682724586, 388060355, 307104582, 52881756, 1042072294, 820286190, 151820241, 229982163, 226214127, 75643804, 683219412, 13140630, 782440970, 669961371, 246775645, 189248229, 558346451, 287857667, 720796546, 747385105, 394771449, 1033579988, 484541243, 328719050, 762861342, 92719898, 215334489, 354064266, 510869866, 78540108, 906489923, 710120908, 706324141, 299523252, 759865215, 1008100182, 250326312, 184906485, 577861958, 510464271, 630693623, 976580727, 208744163, 170014342, 264753521, 334625988, 553118459, 677724374, 613575433, 110199711, 977832626, 429313172, 936600928, 386986556, 51257895, 404952375, 403972367, 999397259, 747181871, 710664876, 373808092, 342927467, 399587214, 620672266, 81874237, 179719743, 736557027, 415907825, 427882954, 67074727, 943726115, 855839939, 77337953, 969559654, 219083069, 1038186109, 565024599, 449988867, 612808137, 405385656, 312180368, 410061868, 902817700, 956795902, 832543872, 751907105, 1054038127, 510209553, 1051163547, 617357995, 452889203, 560692217, 996996273, 769504411, 614016743, 493569603, 646895561, 459551784, 778805688, 1044931677, 833988530, 373884025, 243471468, 28875468, 963055334, 425939320, 935061274, 1069898508, 573023572, 661268075, 983343507, 937187227, 903960445, 140970418, 555527502, 14630606, 20952750, 1059739382, 1064102515, 1027074198, 882309485, 503027873, 850459174, 567350505, 76532012, 1071201793, 810796333, 944890270, 780647335, 8333400, 751534682, 719273796, 927646694, 709051303, 586986372, 987369084, 580522231, 891431937, 1051839027, 173444014, 154355489, 248747546, 496710814, 201498521, 993279757, 581643568, 44407160, 701010925, 821078002, 904636852, 49890525, 835218435, 346679867, 61338864, 481397684, 613037487, 77218025, 746628901, 440127514, 893835731, 158767243, 576114165, 894611429, 539320748, 484383975, 279095835, 40466448, 465510278, 787732216, 871064139, 624090161, 74559679, 161562067, 521469885, 750800618, 781926237, 708587433, 609214530, 360504466, 199413830, 967741599, 558658110, 400379365, 433168647, 399964592, 899834339, 404163753, 649608398, 923031722, 445004661, 682405904, 615934571, 744249685, 728391531, 1035164577, 942930616, 225718846, 574863775, 446772483, 907586603, 374709831, 776272220, 1047641764, 827661944, 1071296163, 805704191, 764487141, 1066477469, 9638107, 39275072, 664027352, 547982863, 479009171, 6861967, 227987021, 758145426, 35108836, 167385455, 34295364, 69920219, 136083951, 17662173, 111774954, 870881489, 463645745, 203745163, 1004106687, 567136831, 161741557, 721169765, 711362825, 819757246, 899790827, 728385154, 714735392, 966224100, 677508929, 1061188797, 1007846765, 221476810, 710064872, 545054243, 381494111, 815027313, 886951046, 480580920, 496230279, 870514552, 188416574, 480759750, 101540827, 458687202, 728299921, 870805614, 275421263, 607529180, 504659490, 519311849, 314017598, 561454622, 494213919, 721920854, 383275960, 126583194, 660294629, 191858443, 253947651, 271598494, 211190669, 633196026, 930388783, 216800623, 203548768, 353085419, 817022245, 509966280, 757716359, 116108846, 775044055, 157515077, 203995749, 534200275, 964840997, 187992607, 849719433, 101815224, 580724140, 108938694, 390493247, 262019952, 1063179691, 106615812, 811151192, 537137669, 942118589, 206839520, 818829416, 681122368, 290476949, 140332021, 774837578, 680789111, 110414537, 335428795, 542207490, 858032294, 600566829, 227912640, 800954512, 116626591, 1005485845, 394067802, 435953148, 712135046, 348516491, 873227789, 369114946, 206053993, 63196178, 291950323, 104478635, 557963156, 463177816, 1021539466, 210319883, 946988306, 211418001, 975741848, 129248792, 376573797, 571343361, 1057421850, 654261022, 887566480, 484384339, 888061958, 45331913, 73629277, 382807380, 48700431, 499777111, 120759053, 810749072, 472008866, 681751726, 568583354, 267908059, 826023418, 459247778, 809457046, 941111043, 104331461, 97837166, 33809761, 316927903, 922456870, 859033664, 295554640, 572383176, 284123980, 118463913, 803491705, 485216519, 553539128, 728848053, 281636682, 861658320, 694539248, 749031315, 542941774, 755732279, 1050600153, 700823693, 303660582, 637279009, 888183706, 867563571, 664214941, 158069806, 205226625, 957639697, 158199276, 532754715, 944255793, 543945283, 793505189, 343369534, 359584076, 882862251, 378723860, 489999500, 779426795, 261817253, 1042656518, 989270951, 1044655422, 626415224, 1058308040, 850651274, 226025029, 13739221, 59110360, 515861462, 522127790, 221309842, 466922189, 264279585, 566486259, 271293519, 1016837293, 389064403, 392430140, 830154229, 976782740, 238856124, 711029193, 686973486, 307760480, 103247618, 103373310, 577881322, 877410018, 715292759, 587790390, 984713071, 563484471, 1057808102, 698508351, 557591836, 627762193, 649346265, 933738087, 1014284831, 420152880, 355286160, 168078936, 393852042, 482791316, 65119859, 672198452, 626261257, 437334348, 908224021, 574313242, 1034925597, 165928570, 614203023, 109496059, 572594930, 299643847, 86493821, 281310491, 312298032, 211683432, 890248589, 504312375, 690823736, 925216063, 855554073, 193068856, 126922715, 439682293, 622357992, 1067564634, 539106893, 569371516, 344770542, 656331692, 532426019, 680412691, 239794978, 682967319, 645582733, 90047161, 54512900, 797251771, 911364668, 35357005, 414294357, 818620057, 525940240, 635108346, 695960270, 293358005, 132165546, 345813512, 20177932, 356368853, 55627371, 957989177, 214622713, 601259283, 901311071, 776750583, 262651318, 569920192, 182596063, 463066155, 86395636, 111778370, 918442115, 158653234, 23847234, 671012063, 615222454, 438280070, 583262098, 899092722, 92230698, 838989608, 453816976, 980175058, 848896168, 892908142, 301081545, 523999976, 755505592, 509340754, 166217599, 911374606, 857101368, 717189520, 50566089, 339156209, 848659133, 50254560, 950107041, 191032735, 208824330, 1057505987, 466148663, 999607484, 624079425, 911771068, 668964100, 882841106, 880417955, 839649199, 435080031, 947417335, 646617353, 769110523, 110211188, 343806719, 945983563, 696645653, 868963375, 979285622, 726113038, 511433409, 322504276, 532678835, 196311508, 28552917, 869080217, 904504344, 467276721, 984839659, 1059657717, 540423558, 900623809, 589272161, 399059265, 49816967, 251926499, 684803659, 337968388, 47732210, 773387719, 4078666, 582025917, 870732004, 120672381, 802541641, 718500454, 1073632275, 133058986, 457357538, 949503563, 419669314, 447016318, 903364805, 517432924, 861783692, 218574887, 668931187, 55010270, 444344305, 275039457, 113962291, 315109661, 898498218, 468519164, 459801093, 175549627, 820462836, 1016948180, 822494178, 617870031, 23035952, 677091538, 724077159, 548015498, 649909303, 987062341, 1049362361, 765136707, 646877931, 840255397, 80570368, 1015637, 357129242, 786785249, 691142205, 742266108, 807454487, 642099711, 896531138, 1051528766, 643169330, 172306545, 399366030, 993523844, 27652001, 756204118, 96844483, 813747043, 192135635, 321113910, 183968482, 740671253, 478380232, 760496047, 425907365, 265722847, 965329451, 519237726, 653762911, 585583883, 119578222, 549086128, 630292088, 21058847, 187135917, 626352142, 45270715, 383030022, 444849366, 176815252, 620286479, 518190532, 181188998, 830965738, 18473281, 526816506, 163070322, 224573865, 272096692, 481413861, 79293772, 560150194, 239342877, 4216640, 1035559056, 400599739, 281966324, 446121742, 708478813, 319889262, 697015233, 995773383, 941704098, 434007014, 588373299, 767484882, 975523847, 507871344, 325988496, 668773928, 728747182, 640935619, 700376744, 673311221, 1069895008, 24137500, 448751060, 1027720508, 574515399, 1041716563, 104056036, 1013511261, 933602185, 722894212, 882276259, 734614677, 490486199, 87479411, 1009786404, 555944024, 235705335, 406903090, 272522534, 244244121, 736157010, 255603040, 149373764, 217849869, 113731695, 372925702, 374916084, 32043874, 214131021, 590919211, 998113308, 387754115, 115503488, 551437163, 738190987, 279191637, 42709804, 463807238, 51825335, 86259605, 986894465, 774963944, 40329016, 902759062, 173454321, 121831410, 744870621, 553598879, 420321740, 202799337, 91881916, 909501970, 831709494, 237088036, 499996020, 281875039, 528300004, 399054689, 958244978, 133324093, 248825157, 725122373, 384595504, 274656351, 738510756, 1069870736, 1057937882, 736596053, 858725516, 1049326761, 190675731, 601469467, 263737844, 681276308, 778333657, 590944172, 381369545, 776992146, 805435358, 767090533, 201970750, 1060266301, 165795704, 789178944, 803299795, 957871041, 1052586590, 579089898, 568829815, 86657867, 371002450, 428696917, 46881290, 52802299, 859132445, 303183687, 64220668, 25361653, 848884434, 161692801, 307353932, 936511548, 1024456023, 231812837, 240368522, 764147338, 685509965, 32114530, 197322835, 578076278, 258116471, 889424276, 998614282, 254950497, 587739637, 375218350, 522023078, 974687795, 956252346, 976012804, 323762749, 341048894, 463665647, 910121752, 6265233, 163476255, 977386564, 444148461, 937001350, 1036261233, 596025721, 898890300, 623463435, 881725569, 229425191, 837410698, 267901842, 352749914, 122282455, 16919281, 487014956, 189251751, 641400593, 909255888, 983625499, 479757078, 14969287, 760039920, 62973641, 749076769, 407884448, 208892792, 872265843, 197539905, 797474596, 27306715, 309761528, 327309844, 173583035, 162280327, 93731157, 56506898, 123696549, 566549696, 577242262, 381612475, 650365680, 416141977, 599527542, 892734003, 236676716, 664183312, 728135657, 541421900, 1015271799, 214953660, 379120244, 234439526, 997046034, 764820340, 448223659, 436050770, 311117719, 589990329, 88014481, 689880058, 174258041, 308122769, 92502238, 465463016, 371268971, 473948916, 485313126, 889585532, 389628826, 83793122, 524046681, 193558383, 339831089, 352451539, 951511904, 244398155, 111278773, 767544477, 560141144, 552583365, 89532858, 836012327, 159596335, 34123667, 803087764, 273974462, 331121271, 461614536, 610092232, 908367855, 100926767, 367813106, 640694089, 567237630, 485014474, 955413350, 640281303, 92680743, 492579160, 547626574, 885329317, 404977242, 302560136, 434534056, 795510120, 400776440, 1030162998, 755025221, 1069245403, 186581878, 143893913, 570558507, 827995284, 994472798, 87461619, 477770837, 486182478, 80920049, 22658399, 624377025, 1031384127, 381967874, 680814126, 737242942, 27793874, 494540536, 676416713, 503059545, 1002170996, 773771203, 256216871, 553067065, 1038943819, 651094213, 1047128450, 123432325, 210248596, 911033691, 380713424, 383004222, 605845225, 1012532499, 402446164, 507324687, 353077248, 1010893243, 501728437, 810008919, 781262381, 985331003, 1050499035, 80777715, 41717207, 1072780880, 514613241, 854903681, 300592777, 282301871, 243142888, 237647912, 875317411, 113490712, 374491225, 750197915, 134469476, 998653892, 376040984, 908619230, 144414256, 88420793, 961186059, 749197187, 1045740849, 350400558, 584366953, 939337059, 858248288, 1000918156, 774734709, 200137563, 673153325, 234038208, 113636348, 901250396, 618489414, 727814511, 164027962, 120977142, 548636477, 382474942, 51560594, 284712125, 408240958, 327732597, 623098367, 26938494, 739607149, 761542588, 843376460, 716044208, 192998511, 888946869, 1041399615, 57161034, 905449073, 386797439, 311084531, 687882574, 501912763, 298454981, 640632313, 873849399, 863442230, 620800247, 536735309, 1065195598, 1027881800, 994074425, 498474101, 916089173, 959981641, 1069353225, 128397622, 1034411230, 335575612, 1042866615, 256059213, 1010583035, 676825703, 995909651, 361239625, 1012427557, 137194717, 1047633936, 665044398, 365248952, 628024512, 750167517, 159219594, 440754702, 388287316, 959298016, 510982577, 410286566, 349578072, 888267061, 931119620, 696552684, 937216452, 250435114, 869523151, 578708816, 477624578, 838218630, 934636843, 914111191, 175634232, 841510939, 656366778, 1002637715, 52605647, 33373058, 579206530, 592060559, 465851164, 686897206, 597054235, 284072606, 66562277, 890215089, 1022976773, 18094406, 111535562, 302628081, 1060880193, 449817298, 585338278, 682433852, 230665853, 604748293, 747498119, 213770910, 753351361, 526872684, 1011298098, 479204096, 211182221, 182086584, 428308852, 246565499, 101760415, 861364534, 124736856, 825327828, 771305682, 224777084, 637112647, 993811292, 685039531, 389839794, 451107795, 772365072, 374586621, 336439722, 419675522, 652592329, 786917153, 102025051, 1012019323, 1043874535, 1037092497, 939438494, 491808833, 856527696, 991905825, 217454400, 209618233, 1019123916, 90329853, 1043686117, 735766034, 334050100, 347963628, 724926709, 660289348, 281802605, 311006225, 976355865, 250198542, 935356746, 811653725, 588429572, 59784986, 397181576, 596842647, 80891680, 488289555, 784351314, 1024850028, 72728672, 251050778, 1032795500, 445538806, 987460321, 176486521, 487708417, 761673180, 880963334, 105764178, 635461906, 709231195, 623966698, 715459840, 4745214, 947061462, 393445440, 548666291, 945029670, 867601611, 884322716, 909532704, 366636749, 657837667, 894296053, 288078307, 442275046, 683613819, 752563300, 593331698, 537532031, 1020696865, 929414294, 772848049, 553651067, 1065611834, 227074816, 1014389245, 483977541, 772146138, 81839632, 758646832, 440210528, 664005657, 353806158, 1071154443, 741079899, 809455596, 431620636, 677035751, 329626352, 851385652, 417825398, 192349504, 469574714, 179354103, 726055849, 833292314, 538085714, 329561116, 681677671, 441651341, 799420426, 1010092439, 1006288406, 402933708, 83056836, 530214478, 573206678, 757145016, 825901841, 187722855, 110786157, 1043064497, 765413254, 51755584, 62318410, 988327278, 271385845, 337070187, 76185425, 368841851, 449588315, 132398621, 998659664, 116421123, 894242179, 935639889, 183094584, 372178860, 229180620, 1006466074, 112646087, 349450469, 1040354630, 820851006, 545477849, 628618592, 986440105, 519961189, 594686820, 214255360, 967482133, 755144315, 275081491, 515836839, 696819279, 170890045, 1036110267, 295024510, 406320640, 576520412, 838625952, 66770040, 471364952, 605763509, 937760908, 1049272741, 662460952, 807571360, 547153863, 1052916574, 283865101, 509110716, 186554123, 304723457, 564600061, 701980656, 545519309, 694361919, 273015690, 802657799, 645593229, 274502916, 65077020, 411139844, 10532279, 887067991, 698493041, 295779097, 505008495, 778680577, 156057925, 594140629, 599017716, 304465579, 711582560, 87437129, 535870414, 597540912, 414690987, 94914269, 844328152, 514854071, 1029750070, 883391582, 943795068, 283651744, 1055074894, 345191553, 530921355, 340358551, 627709513, 555114899, 655213337, 566632291, 529772012, 113415135, 251166695, 894330589, 614019436, 11653313, 618227609, 348216149, 851481414, 1030203775, 390822798, 649621955, 635066127, 537537754, 918813017, 270036974, 381258936, 329414168, 723202621, 463630510, 823268084, 42777757, 756633609, 107934503, 92488510, 631979074, 839975760, 971349459, 416450671, 243641315, 428322742, 738925024, 82361827, 852719106, 87555631, 325305779, 844493185, 386452196, 452515433, 513632622, 499687702, 1022704930, 33018054, 603016854, 109115876, 519537596, 108994817, 1030889281, 91425870, 161215347, 614255616, 460836723, 798931744, 463973719, 70396499, 232946851, 384973752, 942287173, 942375835, 523475761, 886475053, 178748465, 191027420, 955474045, 114980051, 133243217, 905087950, 44298860, 123047722, 733122271, 312115461, 655946566, 911762001, 395752702, 42479538, 131350949, 993872101, 730235324, 343689375, 204475307, 26178574, 169208765, 678600461, 548286552, 870002255, 370840401, 511573447, 778097693, 33815371, 977108292, 654858470, 465357108, 620116344, 799798234, 216405266, 13514473, 227306142, 542870339, 886968666, 859439630, 632254738, 374417048, 473600709, 496730740, 900882717, 344690857, 836749812, 434606145, 839616676, 1064496695, 253066994, 768493463, 761220111, 773984709, 153341996, 1060089734, 572653467, 455049769, 257968171, 217295175, 298626514, 256096278, 492697536, 572620227, 24969367, 957419609, 299355354, 196165052, 244490575, 120534652, 921451051, 554002784, 605619823, 1036679872, 406767915, 709237292, 56095153, 623816238, 79110710, 553758594, 208347105, 172099346, 321524167, 695219995, 1020857201, 539716772, 665314250, 222443423, 305526884, 951020927, 973711414, 95488838, 252545829, 363533221, 652506515, 496925303, 26388897, 49598412, 496661680, 515241632, 569756023, 667209364, 235461577, 715605843, 744172812, 325059216, 460089759, 176620824, 719288762, 502691913, 1014232441, 45122271, 62183587, 199702131, 306492266, 519407962, 794201549, 411646292, 654436932, 183643304, 891349195, 987400698, 564869527, 413007370, 1051058688, 193434121, 859682611, 70533836, 623340929, 717850047, 794339379, 319355242, 676352347, 850169727, 325663357, 935909367, 139627235, 358655677, 505489306, 638216089, 755974121, 174521598, 1001514808, 1011023196, 740454013, 949383332, 971153490, 864850781, 959210800, 164306202, 540779047, 114949632, 766422275, 836247941, 662424651, 538255152, 1013598828, 389222951, 914003515, 913849973, 592584933, 260791027, 152961235, 874399075, 255584111, 201614022, 960413278, 940600217, 344946946, 149907127, 578608313, 825885095, 163743496, 403202340, 942145091, 180476015, 532882862, 561880193, 212597020, 967892030, 934279036, 1046046504, 758896689, 929810995, 1035838230, 189674124, 711049664, 540096148, 786361576, 154791545, 1017558803, 1048192815, 45966673, 637537391, 321404744, 648657351, 544603213, 889499858, 370627309, 720094690, 18701312, 182463480, 675391996, 392848935, 369120729, 767855597, 334805330, 324657060, 633781753, 668067071, 148633007, 602037547, 735965921, 407536396, 150354912, 930586759, 962604948, 729925710, 404748973, 1058414354, 390467466, 475296653, 302662946, 387204995, 16955219, 486373404, 367744518, 1033124995, 998958826, 635935870, 835677776, 27100730, 824428212, 217870584, 616266633, 199063927, 180563189, 60096524, 605352940, 1008458104, 244457501, 980227358, 586170391, 22411248, 839817381, 293738630, 345830593, 43649219, 951187226, 1070881015, 442107337, 998089659, 813041783, 396452270, 155958622, 122749894, 60831195, 904895130, 1056159672, 456393878, 515784182, 288461354, 762771744, 915546505, 730446953, 465777228, 50847696, 1016095024, 591020747, 545575649, 707522624, 67516399, 426461948, 170421917, 1054944877, 226629373, 910779903, 688663739, 1035688375, 631009311, 618989213, 209584878, 83651295, 442921921, 5242111, 974321125, 308253737, 608249677, 814435467, 746169012, 699332641, 733062235, 894664012, 626064237, 353844682, 410471069, 726761924, 353447333, 717005581, 893179471, 386757624, 723971123, 390106714, 722019444, 520152360, 317270343, 769790500, 777773028, 365081108, 359842277, 383685676, 611389664, 895068818, 1050551201, 901574667, 700449514, 301852654, 830122105, 348175831, 169029854, 296379624, 589558888, 975745769, 752374562, 278278854, 31861244, 576375343, 845781437, 53732754, 223357566, 1016692034, 981143578, 1048994474, 273229970, 347563880, 302891429, 551201560, 96265147, 250455237, 288634412, 32494764, 1033065689, 397563951, 246554200, 365688440, 504314438, 613184525, 63876451, 290942713, 647524525, 554758686, 675619841, 1034057876, 1030758326, 309613983, 286759349, 548207161, 140849815, 697342169, 689778158, 240950871, 212494171, 865228780, 626464779, 149286289, 1040130490, 825076714, 145327513, 910434516, 330880011, 146791278, 111861084, 44751542, 1003327319, 738213011, 570014834, 156856024, 170504621, 51308600, 590354814, 236414032, 550306755, 486232661, 321468517, 879255925, 798905909, 152286815, 1007529321, 964313920, 394802609, 519921790, 824596037, 479599849, 84675470, 663861419, 142413161, 240647493, 505274556, 935408677, 738611268, 854160825, 741976743, 457531278, 711187205, 300053963, 572591524, 810715107, 194748225, 472581596, 717941194, 623867424, 173548006, 417848407, 1022033971, 742311266, 418242999, 65169057, 784426475, 912922954, 118904834, 514109126, 265923821, 301539806, 248505798, 535830023, 430380786, 440111824, 132687004, 265706102, 546845412, 764738904, 38613966, 15953452, 242305354, 109841585, 897501811, 394850047, 763529013, 237514675, 894312323, 978720052, 420553491, 364175812, 995669801, 267505289, 697152142, 861755845, 801292715, 840258, 1002962352, 203781238, 254541413, 461804732, 964548504, 938455198, 253194073, 324938224, 1042107119, 343980345, 24389475, 626530341, 618030159, 565055522, 230254226, 762749218, 844009694, 321216281, 492308735, 260065450, 904249467, 73908829, 810849370, 877107347, 764987353, 779373802, 546845200, 284538946, 21901320, 521120574, 68284424, 155499052, 439910010, 138033746, 837000230, 982611808, 558960721, 863332282, 647079359, 2416067, 437286267, 900075766, 85657305, 690158581, 935552487, 977790727, 993716910, 822216908, 730046468, 688738492, 405457899, 808195886, 610824963, 721084331, 848251410, 683021218, 741784666, 369663836, 916168970, 1061833516, 752003356, 130733850, 385845472, 37174362, 553754185, 1036959661, 823435650, 389900401, 764259910, 692776467, 918214087, 556144754, 614071896, 668244426, 1009942619, 1068341422, 316899255, 34427300, 938572042, 182235563, 120117149, 653026218, 970114315, 795909679, 173880611, 876323560, 496788196, 378028375, 644816161, 464144274, 144923649, 37503526, 369411345, 446822601, 225788869, 993678203, 51426052, 6422245, 693793210, 720786407, 131216094, 645243519, 743846178, 121644150, 787736522, 78220905, 198659020, 411435644, 1039181368, 1001377704, 910146169, 879511471, 570551137, 596257086, 665836824, 515036244, 215428953, 970517150, 476469649, 67920628, 443838776, 880244128, 725121156, 172364695, 188890330, 27009744, 244583715, 968342790, 356968271, 918016279, 66256573, 650407327, 707301281, 426696097, 980680566, 176396575, 954913983, 1068580191, 256614917, 133685447, 440586279, 801369802, 751717830, 120014961, 225298263, 495614499, 79777455, 692684937, 951913163, 726398046, 577477277, 57484370, 823588329, 124986003, 944354567, 8300865, 715252028, 617317861, 211521517, 430125209, 240742523, 558064279, 625844236, 236569359, 555239892, 945641992, 244732897, 1049967955, 553579305, 574989698, 718512162, 667930754, 1071112515, 882629660, 19804684, 523385867, 493651600, 347425299, 990959650, 986841762, 478422768, 256292084, 758186894, 926483932, 778884723, 651834883, 271650979, 222096080, 480097033, 339062056, 981103403, 135554889, 315224251, 176219734, 814330871, 693969855, 550037816, 643358578, 634520210, 716903514, 807673712, 567639067, 166166588, 855218724, 535626415, 194575789, 63711579, 860457951, 1062966888, 178386453, 808241362, 603660558, 333501900, 617155104, 580606439, 662742210, 76862696, 1029164887, 830842578, 513786494, 35370695, 575976105, 953372813, 382065179, 175145795, 1058334338, 495243182, 852097896, 66567398, 963027088, 65264432, 366229373, 44338330, 1073102055, 157588011, 961819622, 676533793, 356828874, 176935872, 321334977, 458753489, 382892876, 1040616757, 1042042707, 968481397, 1037457682, 787273135, 336569614, 528823459, 511016310, 257511987, 302042141, 957646602, 567883790, 393423872, 85869068, 437843700, 934269561, 815332488, 621084507, 364431586, 1014162633, 774840897, 156397470, 429424954, 289576569, 1010215035, 945612651, 33367753, 20376178, 996743454, 878598195, 596080820, 992428237, 555117305, 473617947, 940526414, 325561464, 1040733498, 917366804, 926478244, 65164446, 837682533, 336954491, 534957463, 650581904, 433505378, 542641075, 786219388, 672268512, 166565239, 399727674, 72098642, 677092986, 239347854, 879593623, 513378864, 630178799, 840578841, 37176247, 163904392, 364698731, 1049993891, 625163645, 668179146, 676639206, 772069567, 312067667, 428967192, 58884352, 664131287, 274089556, 58170748, 414351665, 288782184, 672998637, 37379947, 489259366, 668307151, 224647934, 356179331, 812047413, 853513489, 923685685, 788635278, 629827150, 199653427, 256901023, 248818036, 713081505, 448444241, 324791583, 905362389, 998495828, 844451351, 1030806998, 695169451, 438235804, 921358647, 760755791, 520726662, 476947665, 500655720, 617904133, 919910848, 58050996, 276695751, 503219924, 53156669, 122118209, 260281023, 700032137, 4352767, 869602743, 934148752, 348911835, 1061103931, 43997423, 882544492, 790808100, 99758135, 524038890, 538928355, 678459826, 129176670, 940211892, 71407720, 76598989, 198479332, 788419140, 749147947, 335006275, 406607801, 255734454, 834714519, 330300025, 773571911, 708613992, 746758297, 363551413, 1011300858, 988695802, 902261856, 224849611, 780381091, 256282924, 910837060, 437395079, 399670537, 343303635, 890324781, 613702484, 115471693, 722602057, 126522726, 55274257, 28870749, 168814188, 520117876, 275753999, 575088799, 18572582, 619568638, 614859156, 478705269, 1046987331, 511685728, 894930579, 1053946187, 688492484, 205057689, 957604147, 123438670, 771034604, 865770199, 494273137, 282764418, 507939116, 78999848, 31972202, 876910572, 1046092369, 245364833, 512355952, 512503922, 395506488, 174764481, 669918888, 832428234, 626112241, 862886954, 484797524, 228276568, 680213115, 631041442, 216527861, 172834018, 775282232, 137700647, 7114595, 90930758, 834308773, 397310619, 391031553, 332309200, 949932483, 164824218, 298761348, 195658169, 484580933, 454322954, 154704616, 823547262, 309577349, 790490851, 605840568, 9059640, 765782184, 271408432, 1028325503, 304035787, 8468524, 808623203, 240326045, 240763829, 829676989, 916765226, 702509341, 82064014, 631462480, 1037148390, 273437525, 341967737, 251746083, 418053467, 634570135, 250068997, 748196714, 72633279, 161977276, 816071952, 1027374077, 507582078, 132674610, 147202215, 962977787, 169012451, 913858325, 688267763, 746852187, 944848085, 893273346, 775348198, 253208939, 166698096, 754805251, 1030155842, 383850063, 722274857, 751292186, 340496119, 968741436, 811491208, 782019354, 565305908, 687318977, 185848656, 201085494, 1024109232, 18178094, 342323845, 422719192, 868664011, 179480041, 294877995, 316404340, 18482306, 1040900350, 757942954, 691381536, 756479161, 129291959, 790641290, 517244852, 3742276, 158369239, 460336128, 316648570, 506340110, 6564608, 57863693, 429431740, 535550924, 91088224, 1066144712, 484817414, 947520582, 120412379, 177100313, 705319663, 782793893, 655941802, 937123141, 240407821, 257658278, 418082542, 3183018, 937680744, 458624275, 775795422, 100253629, 427699768, 414543989, 683228656, 57444893, 312511180, 377680961, 514113104, 365644429, 128397511, 205853608, 534595028, 903419856, 999048581, 529077373, 18276315, 826969367, 459104134, 614547859, 68769448, 673087840, 419759899, 397402899, 598795917, 656787465, 93774332, 472175436, 349078214, 281768888, 785219718, 749797027, 164587814, 47775019, 128837936, 349848605, 811686480, 948197173, 192543999, 107258448, 286940115, 791833993, 236183300, 676897025, 1068949369, 974701021, 907011798, 770554088, 321043836, 302597625, 102274932, 220268738, 899800008, 193876807, 924658309, 614257197, 291785883, 62344249, 468395274, 706627999, 566654535, 986679368, 630081389, 322653897, 1059111463, 527005949, 583545504, 626158425, 478779919, 900160461, 751893168, 1059281252, 587922751, 36007661, 114097187, 687056093, 909140658, 521093905, 463897049, 875592312, 116930184, 980655968, 831915974, 387263079, 123252670, 672328610, 576512329, 105773970, 930028756, 138260643, 515247049, 918749427, 1056379164, 550335094, 637921556, 569286165, 661744419, 312466253, 737973063, 613695963, 821083164, 112096890, 531941654, 118982323, 647568129, 1024283089, 964860944, 794628237, 760159490, 56931626, 661581928, 969717119, 934390213, 519606031, 299565949, 425270278, 106764388, 973737332, 680630210, 58369717, 926439907, 498335651, 615387275, 566343771, 1055701634, 959276204, 668320054, 698191346, 605276322, 576512121, 1042900320, 706964818, 779532230, 726067016, 595527137, 950434205, 828755402, 378530266, 926423698, 724832676, 359898290, 374213502, 872668586, 897718450, 678636415, 865118095, 858497811, 813556814, 540629954, 525384428, 397056916, 832429586, 96156214, 924557804, 637712721, 103550177, 906639701, 101614043, 833198187, 59703289, 853619310, 226398378, 539488361, 932796801, 773122606, 668643865, 725915654, 217038614, 874888341, 382125936, 289162356, 610418817, 446405173, 770997977, 1005203931, 432266783, 353768980, 628269638, 649301900, 208733301, 380045099, 119503808, 525888437, 632157304, 58858759, 250778249, 407608278, 595281115, 276204875, 344077449, 885671562, 698517191, 812399274, 517183369, 606473639, 600549105, 354049405, 802122769, 964239917, 868818383, 475061866, 393225938, 1042473966, 579896243, 345256878, 675593232, 479227656, 358963272, 895412581, 675879139, 169214112, 271225624, 493721873, 1030702564, 117209916, 378810919, 393206621, 892704425, 824452848, 317181576, 526472958, 949226852, 974016870, 496910533, 622514087, 839568571, 210447393, 976099071, 393324231, 692300502, 634285602, 539481089, 306960242, 640987339, 663986531, 365045953, 322067347, 586709872, 593870033, 813968679, 787419592, 842250816, 1031302504, 857044533, 1009630858, 963414008, 776172342, 871918253, 704781948, 116135046, 127683396, 234330459, 1002356319, 724748200, 526889104, 295199401, 995703068, 727660081, 481195992, 291178540, 966694119, 883887159, 664301220, 155966751, 970394357, 206076339, 624962524, 78224571, 742006820, 1039103969, 464349517, 965494164, 588198216, 137189656, 113197224, 198537316, 237906271, 1025546889, 983295981, 989813264, 847219321, 760572776, 311013704, 180264663, 115639787, 12991871, 884987812, 777143695, 365599156, 1044226452, 818649594, 1004054813, 236958463, 1031152504, 723581061, 800194369, 47280662, 266811246, 923784824, 218461212, 615932137, 294710582, 339006446, 628220640, 268048858, 407829384, 135090295, 175974069, 420206664, 480739391, 185684342, 701539731, 227493518, 700698098, 131385229, 671818241, 838234049, 57619506, 531346911, 436996585, 175279656, 565584931, 1024079679, 761616315, 110530096, 446589460, 827650958, 121754071, 417386905, 1018669382, 578077273, 926625015, 64354456, 827210339, 414981335, 56627318, 821225845, 360747985, 373773845, 573225621, 1001683846, 835578954, 868887974, 275998480, 382585095, 751328803, 420511187, 201012007, 572656721, 1063789844, 903790583, 384407340, 80264733, 605751064, 464486413, 926844778, 721683866, 589301417, 1055651476, 966775953, 1046843469, 881173016, 986257712, 405294021, 1059347226, 608403166, 419781915, 475872755, 586527227, 361000568, 691086325, 986459416, 199479903, 963876736, 256704607, 351458696, 629082176, 580960214, 149524003, 589298858, 278859225, 218405626, 701958479, 234608345, 466509148, 362748236, 60342077, 737699985, 611072335, 48347099, 131636136, 710005526, 954953391, 126477789, 929055963, 227444231, 772000174, 955731151, 437430644, 454854582, 324843178, 663232619, 856031259, 749312294, 257084208, 519351394, 697197352, 805209034, 278823940, 634628067, 782556979, 731710240, 378967426, 632969759, 824862289, 1035307044, 756114900, 1020448080, 200566372, 492691222, 961834528, 685415839, 462163589, 508191022, 451960953, 30723626, 254731306, 330299829, 164309492, 426582893, 65536702, 246859594, 871536748, 48255321, 221858903, 248912354, 749555643, 50207469, 414182888, 152535976, 30268778, 768335557, 40919472, 879245352, 640013940, 1061180546, 359163011, 1059879222, 395788727, 778944401, 1030816636, 239461746, 81550901, 58717252, 772343026, 410092208, 12489806, 869131456, 976574719, 168210760, 1033054248, 459252846, 439311394, 529690828, 962111587, 175305096, 929950872, 624337849, 913451241, 318221516, 511992450, 622719209, 714666394, 5564300, 407244005, 91139482, 899780259, 678524405, 42728685, 576577554, 625460343, 484861619, 163787338, 908736759, 317796337, 709611871, 573294140, 1005541638, 564057850, 190417494, 397598854, 472188835, 345862774, 303109663, 867138062, 622455654, 828594139, 926816609, 995448875, 719801775, 1039424643, 364508963, 879978545, 145691101, 332586656, 142861748, 107276262, 694912298, 705474646, 681197643, 691050363, 386853037, 188481658, 724159655, 371731885, 382293289, 175599496, 177338163, 797904707, 691459719, 70797455, 1002001000, 540834972, 452884, 1014046601, 687529996, 1045171993, 678020012, 399856669, 815432953, 984832123, 398357974, 258761956, 449249994, 303306775, 457485113, 33800315, 618555918, 68445320, 216550864, 718716175, 287037499, 586229418, 13357062, 713626297, 1021368037, 90720925, 215978885, 465652192, 393233683, 646705516, 1019592891, 244730538, 744160654, 12870690, 690827794, 204161945, 484791560, 157922366, 954790677, 649788217, 536035260, 963323486, 791275394, 679789516, 918100388, 639918017, 1033489219, 555942509, 162607908, 8146309, 1058278584, 237912438, 515748360, 139678974, 969633998, 31288455, 257132555, 612469045, 2818460, 419878747, 842937276, 275694242, 645943848, 157407126, 667227951, 108617176, 352741586, 461691857, 971142143, 833657626, 858102226, 382729144, 1054460010, 523707107, 519924479, 193053552, 315596843, 639066697, 1047022156, 448323832, 889760689, 1029360928, 904112626, 83225100, 151721730, 729540259, 853455720, 427940357, 955079625, 381100112, 746134528, 849571327, 535243177, 262331210, 874381092, 640209083, 828692110, 220629039, 899158836, 596312758, 740430340, 287820057, 855384476, 891843887, 621144792, 934252318, 624896637, 260687870, 605583418, 766228554, 642319477, 908645721, 857598819, 703264788, 384871800, 506746585, 149164772, 649427279, 876670254, 534068730, 125423887, 678245883, 661872396, 832130369, 639564313, 264172993, 989231905, 867164039, 56830904, 362586894, 161509882, 255714554, 268285761, 48233107, 349553154, 897181391, 785923195, 941378854, 444829126, 99090004, 403327425, 566377590, 1043926383, 814684870, 454948253, 259918492, 438259712, 568016881, 132568847, 105374770, 343751192, 184125667, 18219012, 45278977, 385350702, 67967676, 750891313, 1008786160, 1025179290, 961380330, 751132180, 825654576, 576573168, 835193051, 584861466, 941251044, 306309574, 954162779, 563181073, 1242966, 46253895, 832954611, 1060942765, 681018076, 647059751, 933048423, 203076838, 683770854, 334765971, 275972712, 74733287, 909084989, 1057871724, 292271952, 574615803, 567595277, 193678052, 686734710, 163389262, 1038339263, 846037388, 774724945, 872557110, 969413270, 973198571, 1013413059, 971787249, 901395335, 160838886, 853510179, 955103716, 138545489, 902717490, 955225102, 620958306, 147426448, 54462575, 898654611, 110473263, 530833944, 1022864557, 342184886, 438130753, 359853914, 1065891232, 746179891, 308428927, 707361229, 24040230, 902325407, 874631672, 750851225, 371703959, 99753005, 245269350, 903428196, 443239884, 21726271, 107181547, 868986037, 392722446, 740026798, 1064298446, 403257998, 298572464, 1009643546, 809305622, 860812981, 593660756, 131670413, 1024003145, 674707174, 158698332, 842914732, 151970158, 119934797, 937310522, 31609831, 227387920, 89909344, 166643944, 959472321, 79516861, 723918645, 104712010, 714665342, 667097018, 329011601, 589793507, 218155468, 608902472, 974670457, 702884812, 75784772, 202244048, 738581302, 600232930, 946304466, 511769283, 790587812, 528789391, 1005347180, 247880505, 36852013, 183262192, 260411709, 266870404, 800806597, 37546829, 704263603, 505183880, 197141531, 473960364, 1016725859, 510879704, 197442777, 1039467342, 445902386, 338686890, 463396917, 808606443, 504247822, 834149869, 292091018, 941893001, 668226676, 541443063, 419746798, 525932199, 623376717, 140383659, 250544907, 428743978, 587320036, 84465130, 297295178, 1027478731, 511840463, 631685160, 165834769, 884455018, 340596042, 566442492, 736472877, 193970554, 511997961, 620241469, 129470046, 61740147, 548787752, 607511764, 178559815, 751132077, 463802328, 1040318528, 440879904, 420450243, 222503737, 776182600, 635966045, 405792986, 569605421, 551811594, 62456142, 1037402262, 1067523040, 756518464, 73172476, 655526309, 281229491, 28061130, 82795135, 1032527009, 214748485, 55399526, 353388602, 145621080, 379296918, 555468934, 80578205, 547511480, 879226662, 1010153769, 878990280, 808069212, 327660831, 661647433, 700740290, 464195130, 570224429, 454256973, 230266984, 283854101, 521317059, 70131015, 54115291, 486979618, 483826702, 350005293, 166690202, 797009774, 916398790, 460790239, 765854657, 356346895, 947457747, 425562488, 293616049, 431492230, 126177132, 837635568, 848265434, 840971841, 137241830, 278018536, 176473596, 88652731, 573101519, 454121899, 815188779, 991529128, 672885860, 138468791, 862507303, 344624253, 329786733, 737321698, 753962700, 416942324, 1008235791, 1039033668, 615809623, 464045086, 816260081, 405678882, 581224023, 144365219, 579043490, 583560431, 1072893666, 814193629, 78351996, 774895391, 702105382, 318099249, 137360111, 392320462, 845423643, 318462629, 685355062, 137298575, 863689183, 1015450726, 822954291, 1004861144, 1023192112, 252299320, 364408622, 888118151, 888619455, 100965792, 239991126, 596961597, 314946736, 502046893, 498908061, 662493172, 16200839, 381659369, 275152976, 577938715, 1053464499, 17437774, 875473318, 455328174, 637740056, 964794844, 911569176, 379753480, 324092568, 310422103, 1006310643, 436500300, 960944643, 105595566, 21262385, 477022952, 359143681, 899618080, 857149109, 690519913, 799528149, 746862513, 297130658, 197304345, 1065032773, 374286731, 963433860, 593905287, 622685410, 917769633, 301041168, 706202142, 43770209, 492110506, 23698040, 849462903, 845062181, 601448169, 309457114, 399931618, 369026693, 933682344, 159222535, 10600749, 300649166, 1054227416, 221049178, 566619121, 277692501, 941078465, 718393587, 1007734650, 338809997, 681082311, 868359769, 310867164, 784130474, 881100229, 107707213, 213383431, 1016262442, 820694537, 567790186, 170501874, 401802983, 831284869, 1051645247, 42000321, 229217613, 772924250, 227633994, 823298981, 715467855, 344453030, 152419838, 402276992, 320687955, 1029143102, 38390024, 917920003, 624503385, 1042184168, 45964540, 177029892, 678976405, 646159494, 693887539, 153643989, 908247888, 736339385, 887627188, 233112545, 669768568, 1073678086, 204846618, 306470704, 45264495, 751440342, 364573020, 337603740, 211604835, 642328414, 691173544, 334523867, 726497689, 497809638, 892488533, 852072350, 201869910, 219006010, 1048065389, 1068664212, 661308388, 372506897, 672252958, 509994307, 42358925, 379384313, 1068839839, 400664446, 814655056, 1029934976, 256652315, 812116113, 752649903, 859093774, 151174513, 201255685, 104662333, 239478803, 346551904, 613549942, 861046455, 856379030, 257645557, 159340930, 430200148, 832984399, 598013836, 770787022, 271780687, 561280663, 141814681, 336773102, 257784809, 754064477, 431439438, 495874733, 173958910, 336749644, 841455016, 402086026, 87382764, 80000796, 492927151, 912286602, 247513728, 864975555, 855841359, 19318755, 368149869, 548388305, 764508375, 758953684, 650282108, 753731390, 557905837, 229773584, 1048232284, 654580126, 160297365, 509874631, 534221149, 319532332, 427637828, 1016100938, 639152081, 966015196, 873424463, 401276350, 225923004, 280753200, 552819038, 425078332, 676770126, 572804002, 396992788, 718961176, 244883163, 169547780, 1071884920, 3022307, 967166172, 890180680, 959550970, 32811127, 193620021, 258708912, 361938322, 406418588, 165277035, 30141481, 398545980, 292668169, 977277419, 819813749, 561411026, 600243850, 468449368, 283961588, 635167387, 672933373, 740499955, 672073800, 547749826, 850915662, 4072067, 944781661, 172019158, 946304079, 622756300, 420230793, 532458955, 897612272, 434393917, 869099542, 353018679, 211205640, 642797819, 691223288, 197476161, 548868806, 892988731, 334370712, 964950515, 147602405, 486489337, 827357894, 967891567, 171144790, 544142284, 565335363, 278548707, 380168905, 646456195, 748307520, 182910610, 426651834, 677587960, 166401386, 739661063, 421834473, 505317606, 798090491, 721054685, 373806303, 258087185, 647847032, 1023080429, 436393865, 721340560, 57001599, 466638154, 1040807641, 60129047, 100098358, 261432880, 656622516, 390611581, 1036757605, 623145551, 980920385, 155874019, 1055352829, 223213905, 709147199, 522457389, 593970123, 406277579, 199371646, 592885086, 85669008, 679520365, 586018068, 1017106766, 941940206, 340110117, 821963161, 239860733, 253274060, 435296738, 822008817, 812087428, 698990951, 748272469, 653012659, 531227472, 574159012, 38706454, 91660842, 442344716, 983017205, 436790385, 36433310, 565645801, 274518307, 338306175, 581308046, 866188074, 348359132, 197369599, 304672900, 491706975, 618295014, 315924378, 395731730, 583642565, 344351300, 230628395, 637098882, 433523909, 76968926, 329091464, 439784166, 386962937, 491194624, 532748463, 360872760, 557768891, 752265173, 525103234, 29989911, 888488149, 213486309, 55396913, 922071376, 753325571, 100927680, 556088472, 382835326, 935543563, 421279196, 165922262, 537590534, 25925869, 14084646, 575133342, 1047263675, 340664035, 1016625028, 245682668, 567289801, 767187205, 726520608, 227779315, 941402652, 1029148253, 485215053, 576777945, 241197364, 665356344, 304637328, 704238313, 321495493, 448985412, 1004252429, 1010109541, 7465633, 820901629, 833053807, 453675380, 60615924, 254063301, 851542584, 848432166, 649286366, 50536269, 127992216, 584528153, 417843043, 903833996, 238038348, 83665670, 77307492, 511222409, 703273687, 1064295489, 991951269, 337693872, 484827310, 1025434270, 500894257, 542799137, 746773606, 858558985, 478050740, 1004366552, 901901922, 554234848, 568570133, 177682413, 91772243, 581458669, 62161358, 1061152275, 443317084, 272387026, 164270392, 1004146282, 932552695, 1040814229, 188566339, 149613906, 705553578, 1052484680, 465936612, 1062448343, 628544565, 981676712, 136483991, 447576122, 410686738, 406065898, 1767585, 170345170, 677263856, 510071098, 994466296, 42190277, 634655343, 54297567, 748378093, 1010248789, 112501506, 193385143, 847856820, 792141351, 453240525, 1007493818, 99405452, 765214954, 1009500418, 255852612, 534842896, 706535334, 339851210, 900855206, 777956304, 744224345, 786962731, 197175692, 106495205, 200039281, 665039700, 446416828, 103575486, 763340218, 706406917, 310150108, 694747425, 883343365, 888386813, 570304128, 455488826, 229080287, 21536848, 864548546, 162462872, 637742254, 483401527, 522447448, 744264887, 277213681, 743069020, 219201839, 821667370, 987225948, 80489677, 338356466, 107015652, 919053168, 304513521, 224771503, 777171440, 1065162582, 290003771, 597398456, 734174106, 4477723, 274584527, 722247821, 98738792, 44426766, 673860557, 427478462, 991754102, 393980583, 122453502, 128016786, 330090758, 939829087, 337162595, 274748160, 313231590, 350363503, 923963189, 136434820, 477643136, 63262045, 742645183, 646224649, 942583659, 338730816, 250497102, 269981456, 884187211, 147158020, 151132598, 899716029, 953613737, 644202650, 716218466, 410564266, 425199934, 113255833, 1039634615, 829931075, 451876462, 960525420, 851608978, 390734856, 1013917623, 263916236, 464044113, 57476622, 823845668, 368946335, 164928188, 847913819, 286212462, 367510190, 5635285, 286974164, 1007874692, 953302893, 745271130, 845063558, 318364635, 400237901, 248317264, 1027068221, 719279996, 675541239, 629698097, 619343188, 166067817, 234995791, 266516118, 261861248, 554719, 710344063, 948738839, 223438582, 21258308, 103792540, 665617113, 247130054, 21498348, 695528919, 826519339, 799176890, 1055926574, 752676077, 427568543, 18188227, 1024226547, 832185256, 888230294, 470195357, 815652810, 925925832, 303806509, 753666579, 74402975, 458246395, 711253495, 695797574, 485817536, 788249976, 656218910, 934298826, 160520178, 921059261, 247855789, 593391711, 767842124, 68076937, 572512376, 837096553, 314725076, 856924998, 167146432, 412813110, 359730713, 354791219, 17847536, 846996587, 500959930, 152799548, 861872530, 336204631, 564099275, 259650006, 778533538, 1058353746, 434424639, 16481219, 943101462, 468555470, 273434670, 13920888, 1057989209, 582348824, 36151733, 516109110, 871728098, 794839544, 980648847, 925756241, 1035582461, 89708726, 898492041, 215472181, 928115398, 1068422775, 470139036, 278659919, 659672559, 637697326, 836635762, 47427633, 98220814, 992750065, 309303123, 895133928, 555742985, 354989247, 893467616, 523543454, 203839148, 983514264, 529339036, 572464917, 956923134, 1037533651, 10182185, 1022655538, 682752841, 820435788, 500797454, 208159673, 630324554, 965388974, 251062683, 1066690795, 153877948, 473052189, 1014982094, 813067166, 977121715, 414661610, 494275336, 493199375, 1015627821, 215640292, 665269139, 352491244, 387394428, 477435212, 42910937, 661931796, 55633638, 814588791, 456392225, 210646675, 258323529, 353176401, 538956164, 279479330, 916258847, 609320559, 33982519, 53427572, 935389604, 141184535, 829269782, 525984875, 13577349, 749512470, 320339045, 1066045802, 199690280, 199965180, 168169479, 174024477, 822120993, 419970970, 589202208, 661923723, 999299827, 788666319, 1072781371, 1033212435, 618304261, 1037784590, 965184008, 923028467, 8977298, 894789427, 738141586, 669065367, 508040422, 542685603, 248683585, 958255540, 144268970, 1071801373, 878855002, 37280141, 481873483, 332325771, 646392552, 295562741, 310362370, 946779970, 337730915, 886547053, 921727817, 464146165, 755117402, 16275452, 185863535, 808406518, 934702668, 434907288, 557513215, 492216719, 714014454, 532795773, 541597252, 859691752, 890671015, 231023047, 59617459, 649627188, 429644448, 374097696, 918914899, 829281456, 399945958, 40502058, 524722069, 1037396362, 257388163, 213791661, 164931917, 475973985, 606330954, 923863309, 296068692, 586976242, 764055136, 672538589, 372583448, 710400225, 324368580, 798778644, 605369277, 434373150, 449654830, 828495707, 207221283, 509651929, 678528234, 590769451, 909959097, 536624977, 22330940, 525902547, 931386310, 784381240, 397114198, 620661959, 1066122155, 298243681, 127173979, 1026760035, 681810066, 453462786, 1000708047, 972732850, 901473582, 116739085, 399193929, 62144073, 444514140, 152468872, 370375747, 1022788387, 671991263, 422313460, 552234617, 297992979, 769289407, 86684631, 894119787, 278904210, 507942293, 45890864, 640659027, 834442601, 1054273805, 301663224, 327712071, 525175156, 294738706, 1071700535, 485903819, 655968252, 643412087, 77052834, 1057176599, 1028736404, 676662179, 183587721, 815295365, 519459028, 86844003, 834317256, 500053884, 868184742, 390655503, 746119814, 692193021, 889843519, 308554982, 779142508, 109293881, 361796465, 283400858, 143837041, 160610513, 543666403, 128621572, 1054746729, 345686234, 448388872, 635227155, 908015381, 885020666, 75661289, 188100988, 1011372420, 73964479, 351881765, 894573193, 372490008, 331067910, 560011987, 490682593, 635358815, 396359781, 184746616, 304469218, 673690557, 550686116, 112869315, 1017551364, 1052731434, 1005714658, 329220501, 839751873, 343185559, 328837782, 946472186, 827389710, 931696595, 86612256, 966286418, 689443696, 877965303, 1027085335, 828127420, 191936159, 594153242, 291562648, 772687303, 308821204, 732517617, 13554710, 1025831871, 234909261, 416594850, 111643813, 149041721, 810572325, 1061825840, 87314966, 938249793, 1016362627, 71167578, 31405729, 701068271, 1061599549, 759086505, 50348160, 139586625, 741971885, 739802993, 1894536, 701187500, 429909463, 981803069, 842377395, 194078235, 320607163, 914181395, 997248968, 800757889, 208072972, 1018585610, 262657149, 1053321464, 460396550, 289467990, 125578159, 675056680, 128966026, 1067250053, 928949953, 551638854, 508790684, 701513894, 907332095, 744788040, 876134830, 316563858, 494994197, 517159865, 587066623, 118041324, 1071199854, 737111449, 35971455, 94919416, 286144855, 565887376, 861805829, 840222988, 642878988, 697346169, 31249991, 273794335, 1039316207, 280518954, 686501239, 896429489, 825853284, 147832460, 736211851, 643528846, 583331826, 853074217, 1034537710, 471397344, 1025288473, 367204230, 184374195, 514372025, 811498334, 813985615, 110711672, 631882809, 34227622, 345969601, 99524725, 350754341, 204181048, 721828707, 798420202, 606057983, 1064851716, 69830811, 311920367, 263932056, 1054551928, 858408478, 551255615, 1064392658, 735231365, 458563926, 386747868, 247812742, 114678827, 120567515, 792064102, 409764567, 638077758, 774127367, 89901216, 462135241, 127354018, 451094256, 812872733, 706377244, 31351035, 445447689, 722944135, 22692463, 919493579, 94886668, 269947938, 1004890270, 903624415, 117709164, 781659457, 574426592, 626260423, 844633715, 434928618, 691580472, 165106398, 16377685, 739603733, 315100366, 149203685, 627450323, 1065662095, 243265497, 857868002, 438151257, 838958148, 501924316, 220858986, 87190553, 414568781, 477735593, 15020616, 158638674, 729843519, 796396775, 800198075, 539469309, 696578761, 258155645, 138329148, 654931478, 255753674, 607479548, 21040577, 907095117, 317707371, 229220481, 923838088, 395625582, 676842386, 772208274, 173614907, 797771717, 311221962, 639389392, 96923204, 298981832, 763566328, 11057792, 927870323, 878349744, 376076812, 706434661, 126223942, 138331389, 703025189, 597459015, 606948297, 836631814, 331606764, 411177545, 807714903, 628320682, 948719726, 1050003163, 598718428, 912293179, 1049423529, 34993767, 353282334, 111820072, 829409037, 190522830, 507292284, 727428914, 234891416, 1028552257, 332916071, 799366580, 642914137, 116807659, 299054160, 512705676, 635481760, 633729212, 691671870, 95584952, 966833750, 61382738, 395237896, 233800492, 82950592, 503487183, 961687990, 512426319, 659898884, 10580453, 555404973, 271554314, 334067545, 227849012, 366927419, 633611446, 615571598, 440109891, 301501975, 215623615, 390707727, 855536206, 335276889, 311727452, 580598244, 681951304, 364156895, 914435763, 71313546, 619864399, 800445981, 839970674, 842311077, 665657883, 799721074, 1042770955, 597332172, 992178670, 438686992, 468600420, 7979945, 870590125, 408609925, 59521329, 632729884, 860774970, 11276737, 115547834, 172837014, 221069948, 35559436, 298548296, 896521250, 652193755, 508079918, 629672962, 42177854, 430186935, 883422382, 103103115, 631723742, 167413884, 744241889, 102467619, 695770148, 596667441, 916350919, 80687472, 735607411, 94444682, 307953453, 403207399, 591734160, 516450328, 629797696, 679521679, 398390869, 883326674, 68521770, 668025723, 672347910, 407664981, 569370171, 768586037, 698339346, 1022300942, 161158662, 77354071, 222930190, 457779919, 343111266, 59948822, 1057561707, 752466607, 849860241, 177818563, 211633601, 354779295, 705453268, 831397065, 501034088, 229369129, 431073204, 485844840, 835891912, 193592460, 396529856, 394791229, 292625975, 687754438, 871481753, 728140147, 749477770, 282157205, 895210015, 972119263, 577070334, 66193824, 942227789, 465656492, 22745463, 873776578, 285948004, 487549379, 468925273, 968317757, 686673156, 180700538, 51789077, 875519185, 791651360, 682370923, 99216274, 520193454, 927974177, 43615108, 939265054, 445004413, 4197476, 1631718, 398310088, 318391847, 526291222, 377657723, 1028778443, 602927073, 145610111, 756553689, 854361095, 310928063, 335615600, 932370973, 466344608, 983232506, 346190822, 400037253, 1065540767, 157160210, 883342396, 700998346, 641585683, 940450413, 218639194, 95122075, 145524297, 912917890, 827780856, 384881103, 38911835, 996610622, 324516621, 23415365, 211497494, 1016720724, 41075497, 273589590, 995820568, 487588654, 258574504, 423578219, 874426899, 211797381, 249991311, 124464312, 22918095, 677983439, 937790521, 794529607, 370953575, 23348029, 562674943, 721455416, 958197937, 987713869, 144511816, 985248719, 657553635, 880122858, 566231655, 426655035, 176951741, 961488935, 962757199, 360056834, 344045604, 388255188, 579404352, 248251918, 460500875, 525481395, 193618596, 949404464, 366844324, 983513429, 269666188, 838887183, 244507469, 128344249, 1014470365, 978498487, 164962172, 533193148, 170090368, 519002353, 164461434, 663446931, 1051463103, 134575861, 65366609, 1027318688, 894883766, 347356943, 463192129, 695316333, 479490565, 433648855, 787635200, 838803742, 67869635, 874809693, 702910929, 1039852527, 610829276, 279717065, 282175075, 554018091, 199454920, 177986555, 45663965, 768936650, 660796943, 938652252, 624309362, 282284969, 162508535, 283008474, 352346638, 315582977, 361766763, 768649769, 966113486, 32593129, 281936188, 66865517, 348045920, 25340539, 727489749, 1057082925, 215198734, 291960788, 105089129, 994291854, 724628505, 584209158, 48073571, 300101894, 264872727, 255909686, 63727461, 3213591, 442598092, 768147145, 771033220, 749472576, 909259132, 10843672, 1007172767, 100593383, 566259358, 693406415, 1058137411, 289876932, 1042558498, 286639553, 651136543, 947581041, 866330907, 570834274, 296359933, 1031773127, 892386429, 470620102, 735466145, 853098304, 880137912, 988041259, 588986757, 503689236, 928926649, 633648326, 76063620, 355120376, 512777197, 213757994, 689299042, 615277027, 372286546, 799935338, 49355491, 235930637, 164182822, 1059192761, 765808325, 230953618, 253553012, 551775978, 756572871, 153974409, 742075354, 374793533, 803886293, 237762970, 560539517, 236007736, 401208270, 176161263, 853722562, 246165871, 1054563599, 802299601, 305165748, 778326348, 908377490, 715486278, 574015721, 107831408, 791859498, 164443166, 665773396, 812536187, 963293634, 514805031, 671303509, 977931353, 897989951, 166175298, 454754139, 850428434, 662149279, 153887906, 905430131, 996204095, 507200489, 553914526, 592793959, 377727556, 491363627, 69564456, 1045577830, 521168193, 37708099, 796047306, 8437350, 4814891, 117725961, 888933844, 968536572, 426040719, 121960767, 617219356, 468855298, 972829302, 67701492, 120570174, 766985186, 124964325, 263134236, 355671389, 53525484, 628872063, 93045308, 918705455, 305232568, 22338813, 812229714, 228964833, 595660342, 672401729, 421411245, 349072481, 127347849, 561618108, 604596362, 312468945, 108659166, 430799585, 965983737, 683005252, 1043858072, 1039836893, 349239170, 996078828, 418105163, 708173226, 729223499, 699120967, 380971116, 185045037, 1057214131, 261211846, 666528720, 237767741, 333744540, 972000381, 840677184, 31532190, 196382990, 755696518, 1004556946, 977063603, 566273672, 593820936, 564266367, 929357874, 310378171, 895405559, 393750685, 529801787, 840159395, 1022081052, 17772258, 165430510, 1025725952, 958449442, 433482323, 44593928, 1047529681, 324511229, 539447408, 1058695949, 864410459, 251585118, 184045693, 204621284, 951432563, 841756240, 942542769, 105139776, 146082228, 884374204, 206648680, 896283656, 902763407, 1058596626, 281997265, 207274485, 834080317, 350681009, 345567130, 461346465, 607400172, 904814411, 205337251, 946573442, 972909749, 863177790, 395124772, 324628775, 475931831, 111364736, 235704963, 887396490, 636234524, 685096054, 418887182, 1034937959, 899979987, 449803837, 537584885, 220577435, 79503267, 1000303171, 602721348, 596166321, 422955187, 1029350968, 800022801, 838669385, 688577922, 88361861, 756609746, 495600727, 765097755, 353914227, 247799699, 1001308053, 229150183, 1072941851, 350080771, 768606730, 15195600, 180207152, 256872833, 278957788, 133393654, 127164511, 824902460, 641714060, 497496130, 751188769, 737955970, 458528557, 689363215, 859854309, 891204498, 757874396, 501494580, 1024635202, 675044615, 64945681, 322142350, 808286230, 788862912, 832528659, 268260045, 477906749, 1068649461, 527748036, 903085168, 84663011, 149020452, 928574007, 660734435, 733107479, 946677458, 1008718791, 868776649, 311129858, 342142341, 958431513, 231082634, 507163660, 559914743, 571208256, 459576226, 191334345, 144382674, 551698349, 362005129, 574556756, 92388012, 104332961, 15436273, 1036894178, 125009898, 482776996, 718858296, 724703518, 79939537, 272151301, 1059200933, 646790242, 81184023, 875734828, 1036444325, 596278680, 114432536, 118797552, 493572524, 22245950, 95417717, 276100389, 545440843, 906681936, 175410900, 86547628, 756125742, 411648210, 613106015, 808224165, 892637407, 242680191, 426340251, 1056989004, 913566885, 907722624, 202692117, 374936437, 167680729, 63951881, 462529117, 315804343, 136278352, 760626496, 522171718, 689059028, 1043053916, 411600649, 1070747233, 1040420572, 686739594, 901562290, 1016290846, 473119330, 533564107, 673786602, 883606684, 400523733, 838242740, 904584824, 241531649, 659238349, 937805940, 890851545, 291414055, 153023220, 41284500, 188648704, 840325699, 460766509, 467281741, 371708927, 198928794, 790608315, 489001524, 537609956, 703110924, 441764308, 196421578, 86320829, 813024814, 28237912, 1069106202, 1070102054, 995991135, 848098288, 911475530, 938674250, 45237775, 602492140, 66572608, 306531185, 854077301, 946790637, 909576767, 912160323, 19337711, 750073535, 792745793, 782326089, 45267616, 257709294, 968860943, 731152893, 742421768, 930514297, 420134002, 83412198, 1018203328, 75766279, 568220260, 685700832, 507392854, 172500445, 333333713, 336863964, 975029990, 424046872, 541339979, 82320843, 665691987, 864982499, 911338942, 892182032, 145925960, 238824082, 1032919250, 813938904, 262024975, 885407220, 4152665, 949120590, 282185478, 534779423, 325858829, 695204034, 437227148, 802692200, 863493898, 761649208, 735014796, 121024565, 924830454, 4272487, 976527497, 1008384144, 593995668, 18231225, 458161563, 645565712, 24783024, 540353241, 1057708306, 959029057, 131408972, 740103552, 885597319, 246375516, 463267793, 74237511, 867413694, 37263415, 293531123, 428585209, 154435109, 135989462, 976995788, 202170848, 190779845, 117353732, 912874312, 44931962, 164803625, 157906286, 236444493, 983084347, 176116016, 897083930, 735951539, 827634527, 265650187, 127101696, 136379245, 330296780, 195656037, 877240830, 359645006, 1025772661, 788028549, 596038032, 244896409, 564208413, 648000531, 614149355, 974480719, 1063169332, 115885548, 848490209, 757876301, 567545330, 163383762, 957647701, 59759856, 388288298, 556183788, 85124090, 820952589, 445159403, 765894246, 199311285, 761168584, 868726464, 486210620, 947282484, 29011910, 333060701, 933816288, 322648214, 617935622, 329689165, 1042558050, 459041972, 927657368, 885377210, 37952985, 265153642, 688013664, 265462268, 204040915, 780962530, 28215595, 760867448, 621170299, 227170951, 525557577, 659052475, 429308256, 1045062839, 393018051, 98869425, 191533401, 323710333, 879825115, 51606565, 114629174, 241501260, 448162304, 78264519, 59451756, 4631369, 959821937, 874354414, 702704729, 500850119, 38081117, 677125852, 965524774, 910561555, 350582279, 117756604, 1029565808, 1047224394, 323020672, 412698585, 797832231, 436653807, 191139626, 1012520346, 120399972, 652673520, 130158967, 867767290, 608059051, 356551871, 447019994, 94365653, 102389187, 173571065, 1058405675, 667741679, 702863133, 334546122, 366311983, 167395652, 488963930, 378265329, 600179117, 615165267, 351821315, 439894079, 837303339, 364607426, 656150997, 101065267, 386905660, 950497426, 918874419, 809559347, 1007370360, 976077438, 548691251, 330740920, 453556100, 1765886, 802819985, 110397366, 1014379148, 1041152521, 184405523, 995853105, 114186989, 985906860, 625852136, 699309784, 916691107, 750910830, 381329518, 762896623, 473986081, 1067616327, 393008830, 696910005, 1017523954, 1016867762, 812934867, 651984663, 425656015, 1000638659, 544860852, 930271242, 390553926, 1029342550, 630293448, 609255260, 994792769, 894054932, 479427634, 892549407, 978804385, 285916425, 1021282513, 283350131, 474360382, 311575040, 901257647, 676573687, 173009609, 126539271, 834343818, 886652319, 56056200, 1067304009, 804905417, 978032289, 428291949, 405301344, 1039421530, 341931567, 1014417736, 1019238289, 116486806, 636752388, 478102360, 517351057, 942915356, 774027278, 767476394, 874017219, 303534017, 452583716, 368975805, 866601828, 446155558, 201701787, 363935760, 406466683, 597277670, 318951201, 858606930, 279254869, 204405192, 224065323, 708072232, 62903084, 832892813, 80954934, 517562947, 269808263, 316345021, 1041370710, 667101100, 215421588, 821903370, 998666665, 199401548, 406771373, 346371226, 966599673, 992261498, 147926016, 1054749521, 544684349, 602719041, 639031464, 1051598856, 641444288, 604949682, 322789664, 45655521, 981850625, 1019856219, 132016486, 13642055, 1046758603, 320550187, 384483092, 792534003, 188041785, 395591016, 709238267, 532104565, 701376318, 956827904, 50973547, 56487407, 909939911, 148647848, 865169310, 1073174884, 680812236, 1063307020, 478257356, 459604537, 32051725, 998201997, 757918623, 396928241, 630287151, 965522774, 706668716, 842902365, 112746808, 294857342, 184622767, 292780818, 503935336, 516722336, 458051436, 1073061212, 459248183, 394215507, 196297004, 275066681, 1041087766, 969634629, 477225179, 155896441, 547986429, 830954059, 156290475, 348476985, 49489617, 665547472, 20478161, 678329551, 707206171, 907252397, 108289678, 530478451, 622751787, 968242156, 1039144195, 63873387, 647271977, 310215763, 1016130083, 520217351, 99543381, 226859108, 771923010, 102474289, 475068724, 744692158, 907727199, 407302914, 699701, 515954926, 63686849, 646465161, 245430208, 144813617, 68080469, 433344193, 876850735, 80088742, 478540497, 523047113, 838533683, 405565530, 54542111, 28730251, 1035384955, 817690396, 332611669, 135447388, 899509771, 204354975, 750125837, 794137314, 541662475, 919828163, 571964469, 318588796, 569240994, 207408940, 1027926494, 831920991, 795617930, 631301463, 403063483, 9164978, 196023988, 720055762, 426808492, 857678595, 92668491, 290262678, 323516830, 498158021, 711681645, 372527655, 921773099, 503476504, 516503550, 433211347, 423692532, 249114163, 196572655, 44826522, 330095243, 462229671, 365482934, 269870096, 237422609, 1031584149, 690680233, 492659605, 498256858, 567120853, 32218617, 751841241, 330857277, 673119061, 472024854, 914967813, 1056741461, 213656207, 840443418, 380921728, 367551088, 552351863, 144268303, 631178172, 402479151, 303815564, 502811271, 605060148, 243962871, 690078353, 381384756, 336268313, 706399945, 463758777, 718532490, 560196215, 597183670, 41498650, 502084776, 1045806763, 172264484, 279109566, 1067521623, 239496561, 19087673, 851442924, 468524124, 699492627, 774082450, 702582943, 410747598, 141107904, 818053967, 1047450493, 191294501, 1036937832, 879608749, 848141060, 141332353, 506405659, 257105482, 166959398, 693742584, 782041829, 816094667, 382733590, 42404851, 27276744, 153352015, 726562697, 975117393, 229139514, 599539074, 699222843, 333378948, 754647897, 50522151, 1072241246, 523844682, 782103865, 575662758, 547470806, 823956824, 184634616, 1068169426, 866207914, 5726765, 602476164, 201577920, 883330613, 753089135, 601273908, 496589692, 750025613, 311644957, 509345936, 758162958, 556488166, 17924996, 629007566, 886462095, 247618261, 718486284, 848004598, 18923331, 1006220439, 59551421, 512526668, 793080522, 532016392, 1036583941, 837940859, 414861971, 955668865, 973765376, 100848237, 485332470, 209384819, 1006044796, 938311915, 628355159, 43416730, 346480938, 241835535, 820624958, 131445173, 992229376, 537827163, 411383675, 558960650, 584856023, 899569850, 919828235, 513198745, 723444123, 764615138, 579929158, 641487844, 632576358, 586275133, 864282213, 751368396, 851100563, 597518202, 736289061, 9235348, 1072744739, 894854028, 783863572, 861361760, 261568916, 1056721875, 948849784, 829593050, 400142023, 628171226, 567103182, 599802284, 916055692, 843368, 413955796, 792196918, 444325032, 335524814, 327369638, 722376603, 590584846, 1059512505, 781988696, 895621932, 81065627, 218596328, 103392005, 331144466, 795079886, 202394498, 429375372, 58243528, 1054610490, 646850375, 928461783, 535224486, 826124810, 903479711, 13730981, 885487996, 98537985, 938170305, 468582062, 972930119, 374376496, 6499822, 1018182136, 467078300, 1070401480, 36489390, 43904122, 195514140, 274463545, 153947958, 840653719, 488998334, 642969383, 629825590, 1024609313, 47745660, 46125954, 172567524, 561011370, 932164356, 126760758, 773835555, 1002054338, 467085693, 495218858, 472117621, 778037985, 711180673, 331977673, 489258054, 232351768, 275713920, 477745742, 35705111, 623814378, 623343594, 96268568, 686869848, 678306769, 662110650, 519532963, 436647895, 154101742, 887964946, 456372916, 464310315, 133017651, 483402985, 878169910, 1039774790, 22888823, 949784682, 1053700573, 716924967, 371499486, 128175944, 55105305, 856781844, 1051184059, 229172521, 170466825, 783464039, 375487540, 1040361647, 426782223, 518644218, 994320437, 518618856, 68860259, 240853130, 985145932, 871608482, 649532073, 902136296, 438822811, 448407571, 673392342, 409760824, 513368089, 104014766, 333544757, 792479102, 440051256, 384745791, 988113697, 988313292, 900836676, 457972553, 116556709, 959075798, 942296295, 603024210, 867248992, 148912536, 895439697, 1058716882, 383269159, 332179956, 551826665, 536108064, 257466524, 938189878, 548338447, 301907092, 561791873, 958130591, 199730924, 296891050, 574851366, 740170359, 925691442, 10142283, 834737865, 742272102, 463559346, 458625129, 754393896, 535420529, 105278439, 442909553, 1057662253, 923963336, 374751464, 625359017, 391815351, 436717696, 1036279238, 210659930, 941368120, 144071469, 1053517044, 1007660192, 861031701, 241717611, 158821741, 1015584209, 987887242, 975410837, 241168813, 791316620, 697624712, 819282912, 861232442, 570058755, 715789422, 995252209, 358035100, 1037959402, 9702677, 109806100, 589459004, 881453167, 150388418, 356125445, 984615064, 439198202, 575536836, 524421672, 845347666, 603262738, 95714154, 764224136, 427748289, 1058822440, 1056841411, 582775855, 13411596, 840552647, 7904471, 404645931, 1057880447, 1039864101, 756979400, 689346171, 380625177, 1051781235, 1007457549, 1062654678, 330540982, 416004488, 415218415, 608599363, 133818124, 777695237, 955541395, 730824746, 72896411, 275761939, 114774896, 148796783, 790156405, 700549192, 792641827, 1006066405, 325901201, 310313467, 1071207615, 337934751, 5200948, 389080768, 761052176, 749427304, 231619996, 454413742, 685537699, 1068864860, 298369627, 475151647, 906918860, 896121383, 938955245, 834969300, 377206837, 1014976980, 78554794, 526994162, 831360687, 294596972, 463099840, 818663331, 659124216, 968282879, 1012509457, 269171945, 457039887, 388986828, 299700588, 903732665, 875833445, 234509042, 124821592, 944689553, 489448975, 547690694, 180656542, 982098443, 362952081, 804027506, 36036604, 593647880, 274718026, 656091375, 450347734, 251032058, 259023337, 930360708, 146446979, 112523151, 203242612, 609195277, 819483965, 663731054, 443511094, 841198497, 945923450, 796780594, 570721859, 116140094, 58253516, 358234129, 68394961, 432271438, 13485936, 882941555, 760416778, 278726841, 460243171, 402690243, 98690311, 587510992, 21998442, 103263379, 975445250, 671965386, 738567299, 128047484, 297644954, 684454675, 892596096, 659950651, 1007646338, 202282153, 507462707, 77529188, 598055038, 646242279, 300020490, 142356782, 253286837, 538895655, 169222837, 634020575, 340011064, 68277578, 849887899, 199114421, 718926695, 886424524, 91355033, 236572139, 389432890, 764311878, 351187123, 390899629, 662926349, 830079954, 827422916, 822710548, 221055714, 484854528, 882445677, 326900077, 654694288, 655424790, 445657600, 191192902, 497615043, 489936208, 242605433, 807929258, 712506785, 359875529, 333177610, 443378306, 458432342, 640821150, 761117691, 918485007, 610671400, 518282304, 42608428, 109141743, 738953392, 903640732, 728941016, 416468960, 512055860, 966039934, 557684641, 1036704364, 108252407, 453920929, 72549276, 948372757, 128581202, 19681399, 926067154, 864112289, 889707397, 596494780, 46129918, 977024893, 584055900, 163240893, 1012486513, 365247922, 661920284, 690964455, 658447659, 209601276, 421711028, 1015636674, 80279300, 113259763, 945518438, 357269111, 709986511, 446382298, 485585660, 51057082, 652057877, 253429018, 956900876, 174605807, 418107341, 209220719, 882634077, 847313872, 460345028, 958087926, 56413364, 592175828, 247664230, 813333896, 552270417, 373436312, 607819613, 185737194, 616124973, 417767702, 259280821, 522253081, 140347608, 537698308, 618575186, 259434196, 57741619, 185894897, 167961452, 302997223, 161605487, 383988241, 885471343, 349942158, 553683678, 677646926, 445307810, 396226540, 853142477, 577222660, 237143339, 318756501, 233162068, 927110654, 715169486, 285532084, 300718331, 99202284, 747021667, 119584207, 586541812, 1034146188, 994792163, 371249652, 349491977, 239157687, 194314987, 330067962, 525831903, 1057403255, 40811621, 869700005, 945421210, 50214760, 308861778, 603845563, 117155655, 62345732, 768066529, 571708524, 493314276, 1068264312, 1011862106, 1051909146, 793128917, 486953167, 740778361, 322574635, 56182013, 1067240020, 133700803, 222141885, 577360727, 830040932, 726133664, 648305808, 313084235, 318371263, 570992501, 233068422, 1050271534, 656153224, 35184049, 385704676, 730412108, 253256222, 20256150, 144709497, 312147564, 515606740, 506283203, 1046640670, 873047812, 514714926, 259327251, 228942343, 644493107, 65015598, 422025618, 212765078, 553317628, 886073587, 586824698, 432051380, 161340433, 500236307, 1012918111, 267181033, 367155511, 282408882, 365131815, 971125656, 869184359, 999310439, 465649556, 1022740719, 800162035, 697665678, 218175348, 529321875, 513684307, 929753908, 900985651, 414086653, 359033785, 161046728, 411260016, 196095111, 36878549, 187369780, 609753171, 41502512, 182210793, 782975790, 311852353, 21996096, 22018884, 210728528, 620095188, 518130415, 559554884, 83686961, 181226059, 964724291, 293487514, 935772526, 125965959, 681419837, 845933451, 358744348, 899988039, 669596908, 373634799, 324125245, 636492295, 8834193, 786863255, 462741378, 148311937, 801836361, 984359715, 457706433, 262226942, 262531215, 222589559, 743580762, 321906467, 32206263, 967168361, 691675788, 63490187, 342254515, 308650969, 99844679, 294894228, 888970595, 746212143, 245123102, 536967361, 158352359, 589017816, 955248046, 404265246, 1035048424, 610211948, 342964569, 64300979, 343177728, 24234982, 145609288, 15852509, 85102166, 105423097, 897600755, 1010440043, 1069715165, 1032185899, 882646099, 697877593, 66001780, 162820342, 401757391, 830141980, 479229775, 820331869, 250115777, 209407916, 166716179, 852500795, 193300212, 437972548, 313713997, 183574580, 269869978, 45470466, 1062434315, 740632539, 585326183, 529472902, 618305442, 983574444, 730092986, 893593927, 378858576, 454188187, 789139852, 476998482, 786805697, 495305560, 762428333, 239882102, 499705694, 250651553, 946971518, 837347453, 345401300, 27428582, 581045475, 36654105, 917112346, 505652845, 987604026, 673247089, 835360194, 889621949, 41521001, 521023971, 257067393, 592269955, 318458400, 491287457, 195030036, 234266019, 152861061, 946456819, 350164577, 450043038, 178718122, 96336267, 490778960, 989161284, 1065770181, 839533302, 525411641, 914551419, 1025838837, 873179070, 19324022, 305127056, 408989759, 961163475, 600666948, 266974329, 922791803, 112284100, 866129057, 717389085, 967596263, 618343358, 559821718, 530050347, 632955164, 686286078, 829178250, 1053976580, 759189301, 320729007, 38523393, 377510216, 398993215, 5179678, 105098553, 1025947024, 937783995, 778805940, 723951754, 42891545, 80438006, 725285266, 614787000, 77370058, 81360751, 383226307, 494430428, 180738180, 313270694, 8303449, 27502, 767908303, 1006024237, 943257204, 391682765, 204726756, 318030265, 570002805, 510792233, 292090165, 537293487, 49992600, 188678084, 923298529, 157216210, 1054071309, 447029114, 685967477, 282190671, 265866913, 828652992, 584864735, 355321327, 1046948200, 371448498, 608348453, 785687632, 675425826, 854702301, 619796390, 758326318, 572420552, 323970360, 674774320, 385703127, 104713989, 959936857, 537894063, 2771913, 160462443, 322028429, 779040256, 960810793, 422015257, 678168482, 57495261, 228589151, 662276106, 1051693637, 206221857, 100945536, 409824572, 350585197, 992786067, 720806611, 776180243, 1025028975, 250243739, 234730881, 652682176, 1045438361, 751007692, 277299102, 933885125, 1054872313, 215151096, 634515010, 114650886, 845229506, 1069983296, 469218807, 854182167, 161526728, 633006850, 435628897, 99302666, 632046425, 861960818, 327687835, 296051330, 766359099, 220976820, 349495041, 481273472, 658714028, 46981382, 572710435, 787574256, 383943272, 1059601652, 628603071, 474415587, 1066467515, 155291280, 73682910, 286674653, 950988679, 484110757, 496316390, 560061505, 647556429, 798343028, 92512732, 162619788, 290332885, 35380279, 917284903, 338931443, 856784708, 170167048, 730299368, 124881259, 141442636, 316736627, 703880507, 110740031, 865140793, 755827010, 106592545, 619135896, 578991996, 568222556, 75463622, 1005220936, 453128013, 929605534, 715401055, 1035056568, 990513075, 408399510, 101624470, 744924584, 256799035, 126627253, 343353580, 607236814, 887058478, 166067000, 869148353, 568079095, 1031159679, 740790278, 947437904, 418949054, 581883758, 461449572, 89428562, 572445827, 285650766, 252101794, 959855488, 627775064, 533031130, 7376388, 804431289, 209905656, 165797542, 614200074, 955854559, 744491347, 492859053, 343286600, 932374847, 848962838, 564638184, 875622487, 352294803, 331510940, 259751330, 159199958, 812863487, 346395732, 95660469, 637161491, 742687943, 1039260814, 579103472, 669894817, 637218169, 596787197, 428850567, 1055521712, 690249513, 480209631, 321479190, 155599371, 662698620, 746002925, 890623949, 771050551, 325756100, 465251592, 379521975, 117344376, 838664249, 723262502, 60221229, 212712368, 245233244, 78643554, 68414496, 728560398, 140325809, 561101693, 395754980, 959211956, 913185032, 829220161, 190341377, 679242409, 900453628, 757023558, 630591515, 499304890, 670472377, 172019991, 392149630, 641139739, 537472846, 795486622, 133271111, 989429598, 725265210, 537527048, 418075631, 66889652, 205476782, 766045221, 396553477, 676081605, 109771513, 196015640, 943488844, 513362078, 835342320, 253570788, 27678836, 675370332, 865442447, 684317051, 553701055, 369274104, 892847737, 773956299, 1045632345, 981328986, 728272372, 373329457, 833321970, 393157143, 44838254, 639783406, 662423850, 647645147, 893050512, 161877576, 352944118, 140238494, 772248233, 959071092, 685963187, 19319190, 696646577, 458768586, 553707278, 278262679, 488886129, 973736211, 360864105, 868867938, 75120155, 903110348, 147203017, 577496981, 220443676, 529403342, 835208324, 425538377, 92652456, 507849310, 612581431, 165862471, 221379590, 651029974, 907394046, 145023165, 640678574, 435127736, 211837273, 924405740, 281397692, 254634149, 932880076, 805339414, 614699985, 38371192, 171602576, 33028273, 906520440, 488588703, 303472008, 23843679, 509656032, 712689089, 189085520, 31525990, 803901925, 48628186, 762859743, 575012455, 334860175, 919618672, 372984184, 485439396, 714157649, 478172926, 317199418, 1049799726, 382923345, 873355972, 124342470, 124405336, 850088578, 517003627, 145757116, 293001772, 693993264, 514300962, 898547673, 405041417, 1013621482, 946942580, 670445542, 995928260, 33027774, 962475679, 699015039, 337647545, 348788587, 837594832, 255077588, 1053610087, 297870362, 406006600, 289966199, 691516172, 953750369, 981372034, 970313227, 799058718, 78999989, 332328238, 769846799, 1006621748, 950061251, 450047864, 277877622, 629627392, 454453447, 77665717, 781898658, 351150135, 248632667, 879563180, 976432326, 727913579, 797073821, 160702194, 929428100, 918271348, 49643272, 264411404, 881788016, 688123589, 36132359, 473540115, 733211567, 433735012, 529599641, 674674073, 358440250, 590498344, 208484813, 112708541, 180194562, 811723434, 605935786, 953627968, 595255278, 1072327561, 397261049, 946619458, 888886339, 752732180, 859167655, 471219599, 815024846, 277386323, 7107795, 293034531, 934047075, 233434567, 282250450, 903896347, 587784875, 1028916842, 641248769, 1024782536, 490079871, 996464516, 614644856, 1007474012, 551338019, 741094243, 207954702, 232291528, 527756084, 797999186, 715986709, 694494076, 625580788, 241347413, 972654106, 957680420, 653943945, 256126038, 524027737, 396521114, 166496837, 663261071, 351058314, 660530959, 740998487, 502339983, 1057023503, 442790006, 774908502, 793173480, 32418308, 321031161, 1033116237, 634199872, 852947138, 625319780, 285072872, 128294197, 986058488, 733764139, 687444899, 487615871, 80306567, 692510712, 922303581, 739926736, 639830537, 217632788, 787679609, 995493670, 898802463, 339505050, 1034835604, 1036223159, 332130915, 661651531, 315866466, 127879101, 619234801, 149197163, 598712826, 453324228, 892415529, 1013929021, 89796210, 788832645, 913396429, 972688255, 648065500, 644409308, 266807440, 935715378, 272542077, 409175579, 8312869, 167854160, 882123179, 1006633765, 717923695, 946657830, 517800877, 502492918, 837797295, 982583700, 1073554255, 229874064, 532779469, 586858508, 72117497, 1037827448, 332824369, 242211377, 841392761, 737160226, 274136016, 49992652, 477799272, 193046084, 994794262, 453715177, 474555361, 1057418139, 997126647, 905096795, 452497264, 972477960, 123997394, 570016746, 747789023, 992284867, 11942209, 1009885257, 936455028, 402245490, 161195517, 170366383, 557142352, 1071457288, 62190473, 857138186, 254162897, 293073712, 959468707, 329663013, 79465385, 941978606, 682492905, 555966915, 53479734, 543749398, 1876633, 596174573, 652998227, 347966126, 166084577, 863877109, 1044641660, 842871602, 77004745, 412575931, 371274880, 496251642, 135760458, 343799127, 251113375, 629952103, 241342078, 755605836, 1004744082, 864649890, 854301595, 837887936, 928772155, 99441550, 242860087, 632833548, 1008539332, 590514908, 399367755, 644134823, 921318106, 188578674, 56312394, 999243163, 724415709, 159959390, 867691062, 339076869, 247792178, 375734999, 685451603, 134691292, 737010187, 935502463, 850104784, 234274315, 35544382, 444440365, 651001627, 1065262386, 287883393, 962835771, 479865904, 752923597, 748870628, 459226829, 429637241, 842061545, 1014238767, 725809663, 1007516751, 287842744, 589839788, 280538812, 561734215, 528211334, 1040313888, 397713895, 763108917, 634095297, 7828199, 8601854, 713926039, 525925850, 497196717, 121565112, 403737352, 356418841, 402790040, 585367138, 478386186, 936237022, 411204321, 669292609, 645252020, 415109212, 153639421, 866130222, 668539761, 1039490650, 742221501, 243314926, 884989671, 1057502995, 353246440, 747564161, 309353092, 719099713, 808020430, 31195644, 1041651791, 923047649, 369858621, 856100914, 79576181, 182204285, 543252475, 948307147, 266433058, 569862720, 235916286, 29124489, 81253649, 25260801, 238929542, 776594038, 1063065715, 674123330, 48994419, 208888101, 496134754, 359025852, 1068942785, 241076994, 296553065, 427948260, 1071573402, 571906450, 1051116489, 841857991, 669918729, 555387258, 576181664, 341467050, 188454460, 404220724, 513469734, 322563479, 901205040, 823251072, 1071638574, 1039213373, 521715397, 284613160, 826244161, 764054580, 711677249, 497108887, 656283793, 603403530, 772686314, 260093171, 765277570, 549413679, 669910293, 138697252, 458548097, 661857110, 16068281, 844497945, 876870729, 617514897, 754273395, 545402738, 111195360, 281840851, 680912178, 888335257, 942378834, 80586876, 267587770, 177769690, 614718899, 271219201, 45381564, 342535011, 5358735, 594854234, 874008040, 408222757, 132524289, 914664455, 1040320335, 192302461, 214264595, 698289654, 552944637, 34533224, 659464290, 400443021, 653254081, 753269111, 1034256068, 691167857, 49121838, 1064031441, 765693068, 303667538, 198350326, 511775035, 123186040, 286380289, 416026126, 498516362, 132970142, 453336513, 566768638, 243691903, 369108784, 121799237, 260715453, 104716625, 47320240, 913535846, 637526964, 134478184, 380441164, 266854268, 940025274, 409366028, 291316191, 872849616, 982443209, 174130219, 539873008, 238512054, 80207134, 482745671, 999788621, 659991354, 123902794, 343006479, 699598941, 621167290, 678823054, 413472026, 669815686, 651154927, 580099979, 108170122, 949070664, 566548072, 147013970, 546900, 165944835, 938775763, 595948302, 61334199, 917108595, 1015004103, 250792484, 966782827, 681420797, 962612641, 344238097, 375056108, 569757406, 86715226, 416165949, 535887604, 569501450, 622800371, 93292756, 242487547, 1069458061, 262518717, 542645497, 912886617, 214298910, 641596068, 361473401, 753673930, 544175636, 460211042, 211742542, 360499000, 401780779, 657533486, 416845758, 41460739, 315829859, 719057355, 144227687, 927638888, 535127332, 406847581, 757808122, 466906443, 990460201, 196097746, 188276515, 743100407, 715197638, 1064999608, 985256497, 827758231, 386905310, 950303337, 663426394, 868266471, 935641674, 873959620, 232788730, 788113291, 382971367, 363350103, 1014920484, 164220550, 325439982, 1014654858, 1021781298, 123381136, 441473070, 693526516, 289299329, 916768210, 757743170, 972731822, 810018020, 809545894, 199064298, 138507950, 697691922, 58577788, 792322749, 49964451, 59430863, 1055567732, 783307936, 703711897, 279412876, 743863966, 1057243639, 421064903, 620136817, 338048026, 773357326, 771473559, 926696817, 435349945, 575411415, 441252115, 638371444, 321974543, 865441224, 348489903, 759866253, 119807857, 93853599, 682655949, 125907196, 395650070, 776483479, 924832316, 1047840150, 850008916, 17221919, 366702264, 29954060, 397847437, 57852618, 84930872, 484686618, 615790077, 936150736, 137992712, 266525204, 568088363, 786184038, 363079338, 681985808, 393296097, 43867984, 197976489, 809281759, 16522999, 635957445, 666192831, 423449279, 840078953, 976905815, 1050341984, 716051517, 684900880, 132533618, 865171582, 559517501, 920935578, 558866369, 293447815, 283022702, 954760192, 225015839, 242646189, 945012646, 233768051, 832447854, 966792651, 650404018, 262967428, 835864629, 609028763, 225810630, 362676826, 680510925, 880312653, 526970712, 950694569, 87013380, 683195738, 627879924, 106999201, 274103976, 373516849, 164894917, 187879815, 317590052, 1018471223, 941822898, 831278502, 17506109, 1059065190, 443472030, 739174949, 685838650, 126326947, 229320212, 684308485, 502046504, 470805653, 406509140, 574384935, 457729232, 396887427, 29860056, 387123749, 521109730, 527698577, 693573747, 933637508, 321016710, 90804072, 173130329, 15331983, 105452232, 399102716, 721956142, 412762063, 771116402, 88489910, 325648578, 203834968, 563611408, 117247102, 168316053, 853937161, 641331029, 301804150, 543359707, 938653388, 1058042492, 881922633, 311914105, 263889467, 761275600, 964901982, 345036860, 968048683, 708452101, 102853661, 294661606, 842115528, 152832676, 45834401, 70416170, 962134939, 379618837, 187760728, 331478901, 302847099, 689417471, 784246235, 118456812, 394547258, 561012, 632063589, 653595434, 332060864, 601398860, 206701671, 82517452, 546692846, 74782885, 773283045, 531622072, 811909910, 304672035, 945391519, 185345415, 56979508, 353968640, 332431994, 425962038, 395524088, 584778518, 569012605, 484447819, 989068523, 377993478, 449160127, 324856713, 388985513, 323514086, 1035290376, 972539500, 482143509, 781157270, 719340732, 758961878, 74193005, 742524003, 824693518, 339015725, 666059543, 694714042, 946382722, 119084807, 224469985, 104749102, 594635377, 408975504, 981430542, 14512957, 652607573, 974905455, 871357648, 798332674, 760554440, 161778237, 652033136, 1026754391, 284133619, 687196220, 769325826, 391578834, 922211016, 632847852, 424962443, 992722889, 527165465, 469416142, 4158633, 550137333, 953383603, 625854663, 863642582, 910704618, 350546772, 924203044, 967373473, 113918167, 329538597, 92695654, 707538428, 489276666, 661163452, 1062942696, 570484075, 580632696, 622901025, 775128830, 221058608, 1003722394, 495082906, 696429780, 1017331163, 148807195, 950526090, 538117255, 803832147, 140335666, 173797382, 1021132314, 13997135, 586030379, 383983731, 650614776, 161674109, 795195240, 551064596, 413223545, 616884811, 977402349, 1009967044, 159663523, 148062916, 743725929, 274471378, 23811331, 544438535, 884581685, 722916688, 1038353593, 60571891, 138836594, 192223935, 407112008, 1026748727, 8858977, 420309577, 302491047, 764808705, 95943751, 294972108, 542548063, 762282278, 72139570, 859339461, 576750900, 821288502, 524713900, 867601576, 360344452, 815993327, 359260352, 724237074, 885310967, 448500172, 748157585, 322977071, 833082144, 245831646, 749318512, 944496966, 613266239, 973406438, 26215538, 1036394238, 238959386, 814108487, 592161913, 996506153, 952928018, 735680911, 109538699, 952587815, 901055057, 154082054, 903547153, 869331415, 360266568, 921294200, 154015063, 26523158, 722522507, 625988547, 247917682, 857067982, 1063939956, 331861340, 823357275, 509938683, 1044399342, 872283724, 1048430257, 716845368, 822041816, 581623567, 675936766, 1021434749, 661661761, 193324845, 718693394, 94844995, 325568641, 151114428, 544228336, 651178055, 1032437083, 830134431, 753291568, 533774723, 36576418, 802420857, 1070954630, 991027739, 989258135, 528927470, 1017954259, 436944027, 784469212, 431575888, 876170724, 831310297, 577693671, 209494297, 590917059, 788058778, 298444232, 1009946945, 1006350276, 928539833, 361182049, 66815074, 479094237, 952150922, 42994309, 269790869, 173206370, 826337830, 882144943, 5797323, 722072195, 130587915, 45046440, 324506743, 220130657, 569112519, 334635812, 556167340, 607508801, 110199061, 735625908, 700345545, 124030787, 64922095, 201257653, 594132753, 386953536, 927413419, 991469765, 454171427, 950680264, 844925456, 93043216, 440567600, 726934076, 886331691, 110192307, 366309389, 35528088, 299602005, 814823982, 570224402, 456945047, 12557563, 922883706, 384906703, 925148886, 157428133, 697594922, 548975611, 748966078, 458415968, 57004, 141490715, 712181707, 93554552, 166518993, 549212609, 834380755, 764479575, 283681625, 240613318, 687947707, 588254500, 642894195, 881557934, 60583633, 108751719, 29572680, 253927211, 877454228, 85579386, 10191183, 302262384, 590829935, 824027692, 496886687, 516093735, 434327232, 205204527, 633898281, 587843656, 979154146, 1062762238, 649945607, 8197994, 47458650, 783527423, 1056644344, 852780418, 621239109, 895293697, 185052421, 279244176, 222550927, 426705505, 747948227, 607365991, 923906923, 675393883, 433538872, 392039240, 411679088, 820885988, 99568669, 753062567, 300655877, 24719594, 693157206, 223170959, 1063306945, 786477004, 1071303491, 879849940, 827935475, 656510171, 197190350, 421639937, 201023286, 217689598, 296963819, 415206472, 748666213, 531413139, 104513224, 597723443, 546302195, 642440030, 849570975, 372046045, 287742272, 924466947, 173455744, 183535278, 839115340, 698364202, 934705990, 870845799, 978274479, 134674466, 992758462, 790855808, 329351681, 330549476, 1048896299, 404420891, 952266146, 624765094, 511053072, 33359873, 667515104, 15294233, 109014347, 555940406, 146285509, 1059365067, 436690848, 371894420, 745695487, 768462897, 383211003, 638411831, 483401169, 772295354, 429257408, 965753615, 293335676, 220306468, 843388732, 923339847, 442860884, 295445398, 78998222, 595729100, 644940030, 215549112, 106966918, 600709352, 743054919, 327168194, 617591944, 332273792, 776802127, 822589304, 452707961, 40056578, 971993071, 380837529, 531288019, 213312967, 137996945, 281850428, 70223567, 675147739, 504323074, 1067474818, 228552711, 728967315, 448778471, 959317245, 64107631, 714214964, 597049916, 961797736, 1020896622, 1011755623, 968229273, 990987122, 9706745, 1019356412, 807790205, 130371674, 452283776, 853949988, 8698124, 98622048, 866634749, 169736547, 60504798, 632478442, 607809808, 881201382, 7928422, 936542412, 813295862, 646394176, 66162051, 465566665, 663810319, 123404609, 397326740, 1025344057, 251073267, 879366347, 262958289, 697266803, 64211030, 382811525, 829862885, 703105896, 1069633057, 42282836, 643332352, 503194201, 509555745, 525704991, 259072775, 938489935, 384355641, 197111274, 775308484, 801860764, 613556637, 772997560, 303863264, 55984006, 711042929, 719768162, 62622499, 925330794, 691929046, 700665833, 63997720, 1063610012, 35664802, 20605104, 486432422, 280930549, 971399039, 398631566, 247900707, 343362152, 140426567, 450605091, 569732855, 625220764, 538258092, 302358051, 352821219, 743641448, 66975615, 694618237, 770503528, 616995020, 212395352, 177736758, 221981972, 855874948, 194491960, 258087433, 1004843198, 873376341, 952765938, 69255877, 152831956, 1054847555, 396067180, 906371127, 762028281, 96331199, 319374816, 616370102, 756989068, 724499110, 976925453, 599166438, 570249962, 771704840, 860152756, 242675281, 962125518, 965811408, 900856933, 286955460, 710566134, 993615229, 98350429, 954480687, 1044877449, 669572179, 669799339, 821803903, 355194066, 415114799, 734075183, 560212103, 505556682, 468771371, 471972149, 762665916, 373553953, 458284807, 510947315, 36058059, 622318703, 986177869, 573583893, 300163565, 322485172, 120668368, 891446501, 535186209, 774804910, 626053101, 560656129, 486281173, 913570634, 214183773, 967887709, 883463522, 133617601, 584276317, 400162569, 881492222, 41681761, 36798661, 576614228, 734861659, 682707671, 802118143, 719096412, 911817670, 172176697, 923052336, 528209292, 182972256, 674541021, 465657554, 891345032, 997162632, 387258525, 325741191, 217808600, 89858609, 488770597, 994383058, 962509243, 851869531, 294404215, 576085185, 123521385, 179242571, 638815050, 1070746973, 641145427, 710219891, 152946572, 857062680, 614196045, 57928464, 898113113, 326782182, 267260675, 855807048, 747859749, 758646442, 549142605, 803037645, 228681975, 1031486947, 529752466, 596761845, 312426787, 927697623, 216498979, 328582665, 36441011, 341024909, 813103064, 252284075, 104188340, 215026921, 1016877138, 947734600, 127278810, 561334648, 459480962, 358969720, 599436037, 892234805, 289118852, 291773622, 66169074, 253797905, 252326984, 912169257, 1006844227, 250339748, 388753817, 1072514530, 418660930, 1036847261, 782933457, 725289332, 54141185, 950146361, 965467163, 681055880, 882566313, 990474246, 116151384, 216482640, 987582134, 97885810, 496752665, 657497243, 892386835, 495174498, 1064459414, 347524516, 324160168, 1024895591, 654130882, 662792326, 391483095, 932020378, 13767978, 1061532785, 1028637939, 243286838, 32874997, 241027681, 705622975, 273778937, 16338420, 733716281, 841741327, 291408141, 425151820, 76374724, 680954741, 915859197, 859152987, 638237864, 201985799, 633566812, 369162435, 264965059, 267081151, 354146498, 282987338, 81529939, 1058681071, 440309792, 799173301, 385182844, 288901543, 69060843, 64631039, 78146390, 243208427, 616780766, 353673119, 10252149, 363377687, 139552873, 734306680, 763379459, 551343363, 709661667, 92123271, 397907413, 264026304, 200862978, 289844650, 61435387, 1043399003, 58527479, 617166526, 936363290, 211423078, 1009188668, 355622989, 987426890, 33606313, 557196623, 721616525, 666767430, 1054101927, 506246747, 833216444, 597372613, 1045070560, 161700598, 335731178, 94944174, 1070093653, 738209547, 44454114, 401717174, 142692914, 902972337, 697647061, 240024048, 916702886, 987405498, 705642427, 1005558269, 917353894, 299940027, 555051014, 1060809051, 432314762, 874673096, 688857319, 937677926, 1019676557, 113441136, 836252898, 499347226, 346740567, 754920687, 635281469, 153205685, 823179368, 411584539, 256129452, 78845375, 627730846, 699737057, 817587806, 18999412, 585917700, 77084416, 894023822, 688844986, 812893325, 8393003, 275330503, 188604615, 953251203, 446860077, 896586445, 335858776, 849071031, 933586354, 688426843, 360062269, 331416586, 815246492, 716635047, 311576769, 987032507, 950220400, 271012281, 1050830345, 236099600, 821527558, 1014921296, 193527778, 869872541, 775771931, 641805067, 971627273, 534094913, 246184148, 154507476, 1041806210, 424116682, 93626866, 552393429, 184518332, 270176495, 508419821, 1042536403, 589270884, 224081548, 511375253, 453663631, 79363462, 459770109, 972267038, 320616379, 763088882, 488547308, 511595609, 44927433, 572307015, 821520083, 887704487, 813678820, 615530034, 754795498, 143459739, 832051144, 878708504, 650346986, 748212955, 152972541, 154766265, 802933922, 824311157, 105365205, 979933540, 38483399, 775680437, 111688331, 449448318, 1060750990, 707146227, 232065379, 887657323, 300854848, 1061281708, 210883506, 585526872, 596604990, 792865209, 721737430, 330697369, 1060396546, 953336236, 237085875, 135453747, 163130352, 873112998, 919595660, 969623160, 419383494, 796566570, 484471602, 817703878, 593875485, 967859412, 116482584, 295475237, 983069467, 1039870190, 43739342, 203411071, 393731875, 125292594, 68932617, 367140455, 436941421, 648683825, 100444676, 1049605540, 115973937, 64073515, 548307622, 572108263, 554580420, 563273901, 338010251, 378146651, 1060159459, 745064985, 414357342, 456133019, 29821723, 31532088, 759581171, 988867472, 254789870, 46264837, 471532253, 623609315, 441116112, 265878312, 745042937, 336390333, 18820672, 78303346, 548737505, 102609618, 655439774, 297346662, 789439137, 600915983, 576587966, 629685004, 911434006, 47433188, 300331749, 1054398071, 980428386, 525482976, 825883278, 660887993, 374568861, 872395558, 86625374, 941268575, 701390093, 1063629839, 980328379, 936625713, 270673883, 566369794, 747882159, 418268189, 1035785523, 144111075, 275714621, 173762025, 115113018, 651793585, 984714113, 100835251, 1028337908, 138733708, 898716225, 277184530, 238730033, 878102032, 440291205, 302260698, 966259930, 475608122, 705535026, 322404090, 919023462, 511634997, 194783117, 391959634, 407749333, 238129213, 624688094, 746990038, 309958190, 793817514, 493932783, 902337461, 719616483, 959775327, 1021916751, 349405120, 122592515, 126499721, 447444853, 104368138, 448940932, 820976846, 28428042, 1052767957, 123757668, 327569203, 814787472, 393438573, 691715521, 446684810, 203243117, 912117310, 7153137, 514099745, 926163724, 966106939, 363513024, 798636446, 861970127, 852076771, 579730666, 462599900, 843596715, 1073634192, 917763610, 400709794, 809232413, 351895233, 379710983, 322313965, 772242104, 532644754, 644661365, 802318293, 25112306, 1023309210, 170110188, 136831270, 357577890, 988102057, 33750854, 11666126, 997722987, 507684476, 624333667, 587135338, 38263300, 466249736, 379421712, 750441800, 405028758, 818584332, 605608606, 68718472, 777334269, 47311534, 150750056, 1035356472, 247373012, 174562784, 544740467, 743913909, 23091441, 434994676, 305998696, 905210573, 73326876, 382775369, 841075484, 702879045, 959703547, 286739183, 311150905, 171116065, 646071238, 613382202, 136326131, 184925755, 859343899, 766500016, 409683923, 889942595, 861427415, 966831817, 59397873, 985844536, 134580696, 438028924, 490415079, 306266150, 578646384, 271179932, 36964895, 550878799, 490103781, 24222468, 570030563, 1003718521, 30394652, 799745393, 192379730, 771678149, 242584662, 282498279, 573772578, 945774073, 918114179, 560017192, 951631539, 429012236, 572986623, 852931904, 873311058, 765613652, 870886854, 759080327, 358772984, 100583000, 410031336, 362228533, 6974865, 751558255, 999813524, 670155733, 1045605384, 624840956, 259871977, 872547761, 795521772, 669568744, 170797820, 553867533, 1042393434, 45734698, 829495211, 931776062, 1049346923, 432760618, 194984044, 443494465, 101124721, 1003367069, 576050335, 274333052, 818012916, 378965891, 188828618, 297857365, 108824968, 396616544, 610375747, 473628334, 490270740, 953836564, 1013632357, 851786691, 211615210, 978883943, 837920175, 289105504, 186809326, 878375298, 469060235, 383505034, 827740111, 12661234, 60141882, 774743592, 501968284, 1014654830, 188167451, 325792227, 888563336, 343313509, 294216813, 299283944, 638063566, 166340113, 1027551693, 596444964, 831268984, 956344377, 453427999, 696784702, 492389094, 407372332, 12478172, 249532730, 343268606, 381014907, 504776415, 644435418, 399212712, 190938943, 131696964, 948915680, 920589518, 203307319, 679807495, 1062590163, 35069251, 63306816, 389144319, 981517831, 678093739, 260821683, 71379607, 488745986, 846261312, 1034393005, 389237436, 191825400, 851584442, 633930702, 810769464, 702225778, 685154018, 757753947, 151898615, 567052623, 736501170, 639010081, 429099603, 348540674, 517469498, 847599874, 885726199, 125732996, 935752532, 1052304815, 450193287, 491680266, 298694819, 508732703, 1043288724, 880517785, 204765790, 250232309, 157440644, 590971583, 452905347, 222208151, 430058541, 38387094, 892394652, 653420187, 323287660, 4454465, 517665361, 365094430, 975402194, 977265126, 1045395589, 1003989336, 348636010, 495124985, 1029678198, 650349153, 704107157, 569836806, 1044788691, 292843096, 135708056, 55466023, 34136157, 674643007, 602557920, 797610203, 931100767, 914977670, 45879090, 681900337, 69838489, 579009530, 864776742, 778656938, 735435732, 912302706, 902807610, 614427568, 492016495, 790842193, 169277201, 635656284, 924656783, 843211188, 290374629, 135371948, 289173701, 1000631451, 488832867, 280583404, 883634314, 510207604, 1064477556, 192517448, 664063305, 562659793, 472724562, 221343140, 485916437, 498013307, 371150716, 964457125, 175050510, 209144851, 208042110, 914611268, 783085050, 658191207, 252379876, 619582801, 254483350, 980703680, 134238430, 1060832109, 122899830, 569873111, 838241375, 589904965, 767454575, 624495804, 216428957, 674625008, 377812600, 1069640744, 1041415133, 519567004, 518843787, 661168996, 615045227, 651090705, 944170725, 659389024, 763440301, 690679058, 448729735, 229930626, 220374868, 901548041, 392049147, 375922011, 426601609, 69067211, 426985324, 213932726, 361848819, 685776121, 632594839, 253434820, 251642111, 465659408, 60588768, 861336009, 287669788, 525806049, 205549648, 497284941, 509738202, 995086695, 826063030, 379920629, 84949433, 567188086, 1071966263, 589817474, 403714842, 822738645, 996990723, 816003962, 835402456, 990060175, 717666282, 171025586, 775026002, 366146119, 789796928, 669919390, 376740087, 675588729, 488854687, 958444007, 1072689844, 925273227, 978189005, 862537099, 1061322716, 974546687, 298347286, 270072016, 15730456, 416484431, 872070282, 854411733, 515016581, 1018904282, 873755621, 608349154, 852373573, 28733098, 7559609, 67434263, 930932585, 344022428, 152019506, 17773403, 1033416057, 848616725, 157030796, 707438990, 17661362, 648101091, 599274855, 755142035, 758560286, 471174205, 644947146, 339538813, 1071127245, 375396249, 316707661, 546108537, 161448839, 137154495, 666053105, 834949548, 573827686, 1051550276, 150765609, 12861302, 842785345, 642416950, 309705489, 956452780, 469132216, 433559349, 968277876, 855331828, 848958086, 645391362, 488127793, 408499153, 869644543, 271966065, 847354235, 344360072, 445415820, 391205316, 244277348, 25439310, 723964295, 421644216, 274638380, 50767429, 425985938, 288693482, 332306225, 773186075, 167260212, 182850497, 445716799, 40863499, 501795227, 807440614, 529525406, 210473485, 828902890, 393603062, 125563320, 590699081, 804063375, 953856890, 575491304, 590184864, 444870488, 522976953, 590278332, 921137905, 424528809, 213194811, 276422610, 374196372, 230650494, 1030730450, 426797151, 212798709, 88713837, 454075891, 512544919, 220896694, 13032861, 592530602, 971706055, 381505611, 747935796, 294621540, 417643014, 281326593, 780796559, 26932702, 605888607, 819250750, 684000076, 702832202, 720719014, 35585340, 966614657, 963461710, 634511912, 235208804, 249503019, 28322614, 109305792, 346101628, 607874013, 971388899, 989797354, 622252281, 164294775, 56940141, 757039633, 588346377, 654199376, 260705746, 198330677, 945099577, 34996477, 108970587, 832416779, 857360280, 345788177, 448808126, 270277915, 610863905, 176925124, 960536649, 779302660, 1066454839, 804664309, 75409402, 387916315, 507833499, 878118215, 920093764, 121128619, 18013893, 53878556, 564887500, 978361897, 747665137, 323182798, 358389419, 851495953, 415929952, 463930417, 720715497, 630330915, 136773943, 226631642, 182519769, 896358780, 595015346, 439875079, 252952452, 297003519, 300927039, 57977311, 154968961, 617883879, 266270037, 670072296, 3162781, 739820434, 822130997, 250765307, 823023714, 542320558, 417276459, 1027554992, 37100304, 768400397, 342647343, 434704471, 667539422, 419740970, 647595312, 375219187, 850244388, 246043808, 562168389, 512330103, 272914296, 774427286, 226046716, 390259345, 857604430, 682182498, 1045546324, 971044168, 443350065, 343522012, 227222695, 247366114, 1012259043, 923032164, 851997570, 313161983, 285057389, 1025136568, 997206333, 176394912, 126395973, 444162491, 770521988, 1017839971, 528810768, 505917084, 626698754, 225008145, 852758615, 487277150, 969359786, 174463098, 382951318, 509132923, 1002458659, 981832563, 1035456787, 626333936, 14538601, 487156893, 719483735, 249341676, 573663409, 877482377, 610426987, 963514470, 807698540, 837882631, 353464454, 294636759, 306115771, 304919573, 6528876, 808225972, 992842031, 79021131, 575371324, 323140268, 1035467794, 207944610, 889593942, 611397218, 400871995, 833743718, 176731855, 776146904, 407045815, 151646007, 519341067, 257293674, 1053113716, 223350419, 362961152, 690481614, 350745883, 124017024, 526311526, 655215791, 859487999, 338055494, 44733119, 577183143, 158647551, 917257437, 628910244, 382269707, 337148231, 179823901, 89765989, 601422677, 138435986, 170155582, 636351496, 1072392963, 1042168045, 331399110, 790422927, 289590284, 1042979508, 971634733, 643142678, 466017848, 328536640, 659120262, 679555705, 258793022, 210154492, 280942383, 56698658, 855973784, 64029802, 404711962, 896961940, 344854723, 907567585, 630710997, 818009193, 548001365, 828208875, 952527449, 217034245, 401819200, 228882470, 279198023, 172982747, 168969135, 518179507, 887782699, 1058796905, 182061200, 1057538402, 801910691, 167880419, 697296169, 610889152, 868794019, 1060616015, 222452391, 636093136, 813168569, 422033835, 685212529, 450585610, 156295264, 606165794, 794932479, 520275003, 837539274, 900395700, 909941020, 588237014, 1054866488, 133789724, 1026586756, 188518640, 625498353, 609331371, 573588846, 795103680, 283149638, 875620765, 505200161, 948521901, 144310996, 841465861, 307323787, 870898762, 173733421, 423522302, 605893460, 961803109, 704680918, 6154932, 886034732, 496589261, 579998380, 902282742, 665908094, 979826424, 662453141, 611988404, 780658158, 534242322, 19350871, 716439739, 681694802, 704093421, 557405053, 337585128, 364028950, 181166006, 760527058, 891487781, 238630560, 662406555, 836972412, 796061906, 694718820, 758007001, 341169186, 61776633, 13853867, 364213485, 364671618, 681710435, 661601437, 336150593, 14437103, 817007640, 444246559, 97477237, 333550586, 510041115, 272719756, 150907244, 886532341, 8459999, 408292469, 897458370, 342617494, 943926831, 324174891, 807388846, 166808104, 736093804, 397830098, 154984235, 734035282, 1041092499, 493285853, 588379780, 434482389, 610457792, 1008092958, 642693423, 1026301193, 1028003079, 212306287, 1019679409, 326610276, 602330964, 561631661, 853230824, 290712630, 131840084, 520261923, 470955294, 316120898, 976833985, 936577156, 242376626, 112688451, 470314443, 619302614, 190387238, 467616186, 869378401, 624684654, 906361487, 339896752, 69486683, 761542680, 398891641, 51121558, 18621142, 1010284817, 134316183, 125076535, 696029874, 968363100, 284214432, 699804107, 1015857724, 333872850, 106804091, 308120863, 980329604, 150486121, 627905523, 754109304, 48085113, 286846650, 670288301, 1021250654, 462791759, 216486443, 96310925, 81225754, 850425436, 682159325, 694803168, 790661058, 314807681, 1066360824, 866612650, 996467461, 1052168905, 735208301, 986343609, 260617216, 751046119, 543681638, 948025983, 627559307, 829543217, 183401307, 622928777, 430967335, 201937856, 560270803, 762043776, 9490829, 307966351, 859836884, 928187542, 998122918, 118413655, 765534785, 4400543, 211629657, 926187001, 907671541, 713813603, 505035158, 533816759, 21240348, 371661507, 714196798, 1045276913, 841772910, 1021038361, 558764536, 937102035, 185079322, 624691411, 1027028245, 894833021, 996260820, 342670369, 6067815, 332099421, 270167240, 57423619, 246490696, 393139911, 165975394, 748462708, 314433457, 1041879669, 968268290, 988044314, 1068025928, 989086577, 497399132, 157940540, 471685730, 424580533, 418575370, 684317881, 147243762, 1069575959, 69078042, 241072202, 60826598, 184658116, 376611377, 576092767, 1010645731, 994019864, 153789412, 864414262, 477815495, 775158328, 858110203, 14517339, 120637141, 686090151, 26427996, 92187856, 499347290, 287489912, 619183749, 957780734, 931807028, 935588004, 709354014, 990601942, 187506320, 952191938, 608902623, 57298595, 740091376, 394675532, 60225279, 769466572, 951442817, 916018967, 975890307, 666310877, 350811927, 183717402, 215534957, 673647326, 519240910, 899571099, 787795636, 705746937, 405561519, 862462898, 932226036, 599625948, 766997929, 429326731, 865877164, 619843796, 302051079, 186885673, 665342604, 765336393, 823991096, 804743924, 998029176, 798297630, 80964704, 660050330, 312520210, 33047084, 2766165, 1046093271, 651569727, 867723272, 52662326, 375064984, 468685657, 270464481, 695263689, 500199209, 588197885, 516883584, 614396861, 820960842, 454903249, 370258378, 202628348, 100859691, 727511384, 714499962, 273294694, 637239031, 826894321, 74952018, 539545705, 576951092, 320173260, 141597687, 733304390, 1020412723, 481206686, 69990078, 255567668, 56078584, 383630478, 705996583, 716595646, 709982752, 330833272, 442660031, 617485668, 806965201, 517453792, 91306350, 642535960, 83287949, 359578441, 637215915, 848852876, 35777167, 154642492, 691538491, 16126155, 122226245, 966733181, 106613658, 562162699, 701167263, 910286838, 271587115, 503285971, 629085759, 829762626, 29085261, 162105911, 982158024, 5724186, 756369781, 981832445, 819224344, 396363385, 114914208, 594359260, 445863645, 48633687, 315160004, 591176770, 150583393, 314376407, 406204944, 866234190, 993586306, 989956323, 228713270, 851401591, 765702844, 740946491, 217271248, 701417789, 636197196, 234251060, 878980661, 198028345, 287859797, 626197668, 604499837, 943285492, 878016228, 648835669, 332542788, 465714413, 195147577, 612116625, 931671940, 834696557, 438360268, 806895788, 741791849, 918764472, 976030008, 676686956, 33369624, 552042022, 126684567, 410848314, 674757026, 362031278, 237325114, 806902849, 735910881, 746086099, 318698448, 910284057, 914867854, 67883523, 228697953, 834961784, 162519836, 141625875, 80205137, 684063268, 689766087, 74479635, 38413561, 1047032988, 473111544, 721708793, 91615211, 657856226, 851843018, 945171021, 1072214417, 847388637, 729696991, 831985709, 497954689, 1014135400, 157572055, 607591006, 177132685, 953183379, 126512609, 320832130, 1055777969, 72325781, 98128629, 825428579, 612168031, 147503967, 896706270, 436373623, 959750353, 230718136, 538470489, 435133052, 988929855, 59808043, 921700887, 558135546, 46240813, 892044736, 550022503, 165282667, 898741683, 621970465, 310787624, 221669955, 566525528, 238170389, 89043209, 878003333, 692090680, 376192393, 383620090, 162379850, 454138658, 129778517, 1006256928, 338579742, 445779881, 566742874, 716882911, 106846501, 887331848, 1036621435, 981351364, 33206786, 1000605133, 869064030, 623262574, 357749259, 1141680, 371299795, 504574938, 994672049, 987924778, 362647558, 399709107, 893184615, 408365507, 868663078, 377565247, 289830612, 450174554, 34549623, 281935081, 768309535, 238899727, 197528428, 566815492, 373391065, 559659645, 705820162, 1072800405, 323845142, 860836667, 380891762, 241557667, 903106403, 997356100, 446557219, 78318829, 424601921, 660240166, 385939783, 474505648, 28030064, 542338922, 476826618, 861735377, 883179647, 737773372, 362846772, 400520917, 788812636, 68166796, 357514318, 873807523, 541379050, 252582612, 325399763, 435772022, 792224170, 672771273, 742097482, 624127306, 408148549, 290212485, 854327867, 714398588, 765144667, 946081738, 470507354, 161999247, 64823920, 168940646, 537847088, 184680212, 482229083, 113473393, 444017753, 319530441, 635618177, 137482681, 565023441, 968822439, 923232246, 765509421, 31069582, 1017588998, 721459118, 371109298, 216578820, 812678218, 535232314, 646194049, 506907287, 670085227, 276927444, 482573121, 810626277, 800486249, 481177784, 927150046, 756584699, 242411395, 690963433, 370235048, 608177405, 402116420, 80982062, 1054694052, 1008514112, 604281998, 1042246740, 930263271, 987437160, 797759345, 124293365, 151018720, 462161128, 1073100363, 551907263, 907238380, 397844029, 465754934, 315776451, 294983732, 1019159218, 255597317, 486798612, 770571371, 287890538, 529870092, 727582374, 163812770, 388251924, 163308688, 518975122, 681277135, 971155448, 397730597, 1034537827, 421416930, 940232773, 1041707139, 753661246, 96515671, 1056854608, 535366742, 766612563, 676411038, 875207355, 818811014, 650743575, 444678134, 747063459, 72764039, 219880814, 73410333, 982850515, 636460842, 148310250, 1027534007, 394597793, 476256452, 453182091, 229952131, 918109256, 251338510, 715103005, 172654578, 164433104, 682266972, 544096986, 463812126, 796948589, 336157370, 428902254, 337266471, 890531112, 271696601, 652588025, 192687980, 56631510, 577295183, 912178260, 465144809, 215877882, 487052373, 648435091, 849197978, 13550616, 827350560, 38292356, 855436342, 316477776, 726288285, 182752095, 924800251, 751164340, 280147303, 809304540, 430902953, 628020207, 610689365, 694793336, 1071540051, 90922737, 246754885, 343228317, 1035712423, 121994011, 998616431, 986372225, 456328943, 391922894, 982158272, 284181361, 989536621, 1010947850, 241443873, 92132304, 588425227, 747517313, 178195730, 890736235, 892024605, 1020129682, 945328004, 834089925, 28861012, 504480819, 172109272, 124627444, 6982152, 500159120, 346040098, 870230987, 447667197, 678501359, 393982969, 1018490839, 998568760, 172542831, 275257457, 799297438, 891523640, 523436809, 344234499, 882930768, 663197205, 290860127, 468110854, 331160671, 985558265, 1033398462, 427771313, 670177683, 399974889, 790778254, 507421207, 691141730, 609914247, 721560583, 939577972, 803607263, 821124299, 790554765, 329331005, 344201983, 432699391, 459869265, 449120581, 400697025, 982531308, 242814466, 591127996, 708258675, 823620454, 347892189, 511305471, 47203686, 350211809, 277360235, 384368874, 615639800, 910788173, 762780066, 96441159, 439861822, 661410857, 685967677, 224625958, 866575533, 382561784, 832039011, 971815870, 827286774, 74279262, 486440032, 426479968, 393065070, 207075754, 293426948, 93753315, 1010523068, 886325078, 858738676, 101103548, 587763687, 1026574424, 1028291561, 206263870, 498871434, 670769031, 504735728, 194945828, 151768920, 934881814, 280244836, 330120902, 951837805, 381368633, 763819129, 786350426, 109037721, 143777140, 225910440, 521513665, 234813181, 774633711, 270693328, 652982231, 569847498, 815949895, 486927566, 348440232, 771766084, 1023685257, 862274100, 166323193, 971669297, 202614211, 1028460792, 989234257, 345852735, 637348920, 662830469, 81760531, 1062693251, 521724996, 823699056, 32183170, 491798251, 162641934, 67736270, 452481, 264524323, 610111767, 42487251, 206129714, 459486766, 885367926, 624078812, 523195898, 758962216, 875893243, 47461506, 153044809, 476918933, 951521696, 88832845, 882502934, 460762259, 593342581, 251437998, 382987539, 321693426, 186162012, 669076342, 554835216, 150430537, 265442040, 685135394, 406656672, 573225099, 981003021, 952586132, 247558709, 1012542957, 747617957, 1040346176, 347470759, 77021810, 117046998, 631706679, 604988357, 430092804, 467711608, 479043342, 418036346, 34749455, 48748246, 670406000, 217624794, 1073007698, 108610845, 695504852, 458388848, 166588598, 865176708, 840167763, 82679323, 429290959, 1051026733, 123791593, 677034777, 948816218, 597980107, 558302090, 968719847, 820624744, 287622342, 419954897, 476212469, 264181652, 256053210, 452649864, 392803440, 868630221, 833381571, 631676448, 866234544, 454417222, 303846355, 240360641, 336557825, 447728687, 430486065, 960661971, 332454601, 675088968, 716844283, 184375752, 1072574080, 282366983, 592206781, 761297336, 835715235, 701016093, 878591705, 100240018, 250635279, 713117725, 665632661, 1046096379, 571734730, 1045035390, 886258727, 282044257, 732631582, 261960286, 331194347, 546632238, 571740946, 452533031, 124272032, 579715520, 550353372, 845653632, 457197931, 379186710, 175443269, 1005653658, 24176634, 599391568, 322584891, 84187692, 1005474284, 692869521, 438946742, 778122964, 464139849, 126327922, 502604558, 66831448, 172436757, 7638963, 775270667, 167776902, 4076857, 970111357, 583735474, 934014212, 67793725, 230403627, 592977042, 822145327, 993285181, 900944275, 77367536, 731697638, 983014174, 610334329, 119975299, 1026993834, 110722952, 387621020, 172954397, 692995242, 1066990863, 690597695, 622410515, 75409787, 496738452, 458938027, 303465095, 520649443, 56672902, 634892951, 852425915, 436678208, 123640042, 698748525, 285691928, 52168776, 493786174, 390369134, 8066796, 34515750, 564535675, 68820141, 302749195, 765659436, 973124720, 22999737, 118060822, 344724763, 105450152, 342224205, 1029033388, 566168252, 852979622, 885617371, 808801020, 333134830, 834298410, 438446967, 754420515, 576266460, 403898828, 375936736, 880519796, 136337321, 795922092, 116485036, 694354778, 235457300, 696395884, 492900241, 942982722, 905556365, 356231894, 284123635, 566930151, 384169219, 802818165, 580379764, 305183452, 93324196, 511077476, 764253698, 824669859, 984488937, 461686016, 726210019, 420345845, 752644711, 669065640, 728602335, 427225659, 956338765, 401280288, 93637175, 32304214, 809780665, 845643278, 858887808, 375166214, 127052744, 869050638, 777656389, 283173462, 222340230, 33343668, 4614026, 858033889, 995858931, 383968183, 454355300, 394485337, 842990186, 634802298, 966485596, 878822442, 157063342, 933654560, 568196976, 363477099, 1033574387, 682789749, 35490357, 766821524, 735600920, 322820607, 48493232, 562061180, 161322877, 738835506, 576006246, 390120585, 300582807, 319771794, 416358419, 704864754, 628580277, 928240335, 1073393800, 1042284028, 634542351, 719380138, 319560583, 769231434, 1003607530, 513483385, 819821294, 960563570, 414152219, 440942944, 831731269, 916003730, 924730801, 446093462, 433378245, 867982565, 420906043, 315480021, 201751473, 17995234, 742551804, 963339557, 98424822, 531500065, 447783925, 728283847, 1023414770, 994337747, 240036298, 278828297, 749442596, 247908863, 1008693014, 216063541, 29375166, 663613562, 1012955615, 57072988, 257236056, 87415611, 450694469, 848512276, 557150023, 862987046, 859045381, 832162941, 162217878, 99153933, 898157207, 273340091, 467586488, 174944122, 676043160, 460705824, 960160912, 632904743, 237520538, 424297025, 250388865, 252104601, 1073365264, 650771274, 425467029, 77284933, 314171962, 982023611, 257861204, 1056945752, 657238150, 201083033, 563220302, 961948045, 928824981, 330399537, 875962385, 410188903, 879879607, 775687980, 956648420, 362450572, 907640688, 216161086, 827133972, 16118858, 555959691, 700401864, 32934314, 816446228, 195035755, 478986104, 653360222, 803489447, 412071450, 605896372, 758715376, 912012181, 957915377, 905601720, 837896458, 604589081, 272050551, 544681821, 1014002652, 92275521, 163277720, 1013256193, 674981496, 864522983, 741123240, 884734049, 523574179, 22424319, 662141496, 693558953, 720475155, 690002247, 573121769, 75665726, 466179243, 699992280, 823735207, 26468255, 311974893, 405178551, 802499159, 213997644, 695035692, 928230483, 419233891, 750421155, 276506967, 484449826, 159161125, 698413837, 240379135, 5776523, 450555739, 97681528, 39726102, 258019452, 502742868, 258569117, 550163608, 313266083, 716905724, 894471650, 349569496, 756644110, 899133220, 296497916, 382892447, 639108779, 501364928, 324430483, 262723138, 171597533, 1043069030, 945770231, 992432465, 398448151, 346563370, 931122555, 228882081, 186932645, 948364501, 826049208, 792558669, 112236012, 917732265, 710455185, 549252270, 828971402, 357227909, 193343912, 1023345632, 409375468, 326490124, 698096070, 87532992, 304669910, 291037335, 626910318, 779998138, 839234914, 570372844, 1051968219, 779696810, 750062355, 392082628, 649815294, 562299758, 866892843, 359042751, 728846466, 229519839, 424089653, 719159393, 165567525, 180249372, 296158418, 810789321, 318845114, 714107462, 590112029, 808512664, 618522423, 671047549, 475788971, 1073333791, 641035538, 393545053, 630006690, 168565542, 694137189, 827884335, 395879397, 300300026, 418450207, 521460565, 712247077, 271790824, 714068226, 547398721, 819934506, 244373270, 275224985, 751640516, 368349791, 749444633, 372894493, 251821840, 334032389, 847476422, 43438664, 186881559, 345948317, 473333443, 384557516, 197489899, 758997570, 411907717, 180512004, 375121531, 280262757, 723695673, 670369827, 229273213, 150630725, 735787834, 53859184, 194724598, 877677984, 528572757, 463929639, 394647400, 187597970, 672733393, 523898245, 351246994, 299862596, 103746116, 178515162, 586550965, 691603544, 219204523, 775587752, 31267552, 1014328348, 397960316, 8516196, 813523782, 208829596, 599244018, 214561970, 638907302, 151523223, 252462154, 675848698, 818910394, 938011759, 1026268419, 47178860, 667756221, 543914468, 1067803289, 533921336, 314128040, 64303278, 520331664, 878024232, 27531611, 409397514, 588227771, 62690090, 4157807, 236605832, 293589930, 204514197, 462610868, 348314326, 320491916, 566390401, 963537951, 653253858, 48843132, 329713958, 680068663, 18157435, 715302459, 368870301, 1058561859, 564017640, 449256735, 113405139, 555978330, 563187364, 986567871, 678220531, 944202878, 438833691, 29281130, 112549212, 1006699542, 491341692, 61014894, 919995401, 488411187, 968948429, 624403482, 774685176, 1033026756, 59559317, 791455106, 166558805, 525375670, 452393190, 328999333, 4780252, 183973797, 565710303, 894050368, 808671175, 463017515, 33700006, 969751773, 1017365557, 703265577, 586467575, 203986787, 954395381, 918199389, 1051412902, 172531717, 856382556, 884524510, 84007723, 31866180, 511594404, 974942285, 553979719, 683274042, 1024557562, 46520639, 537239604, 983103980, 201234474, 179000681, 705046266, 1007037790, 888918107, 638019830, 769692651, 897344191, 1046008984, 198138339, 997628688, 35122870, 408985631, 147546439, 684364057, 150180094, 1065408056, 238493842, 181143796, 130482316, 461597243, 610392427, 292179579, 116251462, 144569103, 9875767, 395342438, 451617235, 707221617, 628186807, 517525409, 800548424, 679450117, 230821400, 175916861, 700248404, 542719015, 202434926, 87804319, 336500775, 762669325, 352777047, 708655288, 885035034, 449419419, 817859700, 137536276, 43176959, 262222690, 125345446, 920503149, 413025485, 234613724, 704992883, 773690460, 461356070, 90730087, 157338789, 655379830, 457123184, 954679314, 478555334, 400841467, 153989024, 866336727, 474199348, 68515133, 77465374, 278138719, 296172047, 259013705, 94952473, 122054097, 699080631, 821833566, 784631612, 508489081, 899416002, 790036730, 1011981316, 987746212, 372305758, 383509771, 548073668, 970398522, 957712982, 893023302, 162662763, 171658513, 812320089, 55516780, 1012244906, 642603262, 1064171500, 749777450, 237725126, 551064422, 283237762, 630022360, 607000727, 684457199, 1068549721, 635454966, 235537725, 265528368, 434267953, 167942384, 901022072, 500178776, 526408959, 411407355, 671660801, 442597079, 592951157, 122360131, 569945799, 192911100, 948904352, 815973715, 357629710, 138005609, 248284394, 176570409, 522574344, 874367490, 74064376, 267575691, 87115401, 1011925667, 603668344, 400732028, 125482438, 101762800, 393638722, 125276308, 140226580, 673088146, 1051302020, 1035361284, 700077125, 442229186, 320794286, 559018942, 732182159, 904867276, 104337088, 498685981, 681054872, 573626929, 230709649, 469753354, 381250833, 909281164, 675720573, 853104353, 521246091, 41025370, 543065010, 813299656, 475054034, 96187934, 642246746, 600821811, 286418138, 975063660, 257289226, 591795891, 613548174, 376834047, 22371064, 808645736, 585455519, 466505240, 241532593, 280812465, 954956388, 884412752, 661918739, 914294232, 367270733, 769420202, 332657074, 117810733, 720664149, 755832734, 969573109, 699328338, 540665234, 801614468, 405980920, 361058908, 774136666, 787967203, 330830945, 19336048, 680247331, 930812670, 784623756, 462162316, 987775453, 251431499, 772646549, 955212994, 943974622, 955632733, 826804586, 602913832, 964638108, 576359625, 324123502, 474624569, 113553768, 127263600, 442793163, 414233617, 30544024, 895981642, 796845663, 977071696, 681295506, 330311866, 376256515, 687642023, 151573332, 993860684, 660281550, 966053098, 813791271, 670394097, 992916356, 49710917, 80568439, 714992982, 975022230, 503589636, 533981675, 662723566, 1027379015, 855587616, 623227847, 964519675, 559752094, 646743220, 396597792, 982605693, 572370694, 548463009, 108110577, 797473206, 1025620196, 195271612, 275613639, 752674792, 113150011, 96022376, 701954619, 306250100, 233804160, 474311827, 323907538, 252354076, 582909889, 519328098, 590430514, 379234189, 722045480, 123044166, 567999185, 571261662, 774725009, 81414632, 376703715, 785549384, 774906265, 901255466, 395022439, 1015163354, 803089828, 17356138, 653017260, 694478916, 38950008, 472342722, 247627232, 499796411, 292099284, 1008502809, 131702454, 486571283, 437927478, 401355912, 999474736, 377955986, 28776942, 45197871, 239057845, 617660307, 457487020, 783390951, 475960573, 958513039, 64510326, 250849299, 322208406, 415520887, 164453438, 1023230234, 1002466561, 718998985, 727999281, 541248663, 1024857041, 417461525, 169428034, 303497384, 268553996, 146706265, 724961609, 438749787, 698970214, 397021525, 2682414, 512783765, 22067814, 398218273, 349884297, 560594346, 2247619, 265054342, 241687213, 1014616621, 785735975, 252821602, 921227096, 566103013, 646026449, 1000254312, 329681148, 567792041, 335909694, 780456254, 244087467, 585400727, 333270627, 631790182, 6862850, 497025251, 689920889, 593135498, 17214463, 816838716, 641117647, 466481183, 699399966, 43119609, 224658194, 79634650, 649933783, 221314955, 932750804, 142172630, 757633267, 665810239, 169345062, 4344188, 93987999, 493221661, 319411462, 526252747, 167939817, 364723634, 276980571, 924393566, 321771312, 728174572, 846126718, 151025975, 418357301, 1070590496, 298193678, 543957174, 398318701, 736143068, 934073971, 512469248, 496152098, 832994187, 344942713, 146436089, 122388124, 918967853, 1021484721, 190800625, 623395251, 242248724, 271296992, 171971298, 1001016251, 328910621, 340033605, 63995100, 259255027, 481665895, 722122519, 953987072, 266825481, 139313552, 695714688, 733312588, 316011462, 177375595, 1009628575, 119272846, 390994972, 18363415, 3360659, 752783703, 176003781, 750759319, 312812651, 755966365, 1006259897, 429808688, 758588711, 348645912, 369408153, 333690408, 3226408, 741071217, 63605489, 1048551299, 173274156, 488657836, 996134189, 916693286, 771710189, 479504292, 557527723, 610430519, 111711902, 935380050, 267833177, 464485966, 384158477, 502127139, 469996892, 494034792, 585908592, 932746779, 956821375, 126028498, 574085738, 511312132, 749431682, 714171156, 913048479, 587246075, 226086092, 559958144, 594644398, 81325843, 766669876, 166091461, 1014078502, 780957206, 56317341, 1022848881, 157361468, 416309117, 963020284, 776947446, 673829850, 206158140, 151314333, 73480736, 678521249, 43907668, 646822282, 997800790, 104387235, 56231780, 172549742, 90050782, 984825577, 92543743, 1021863693, 944865472, 166825231, 940603917, 534811214, 156711544, 170096872, 437238910, 724374291, 191920136, 299545431, 641812915, 427389577, 949082157, 404007482, 387736786, 367607301, 1032326493, 1057720149, 908243460, 291104971, 134266014, 94316862, 271524009, 395057385, 14929840, 155729913, 232358566, 382798812, 167602297, 1023313492, 232493256, 288361174, 766855037, 188834468, 998031757, 913121850, 304884992, 525625762, 241490865, 1006093829, 207802406, 321741242, 781305199, 517100700, 426399924, 872684742, 637226222, 126412926, 206786383, 594444091, 903109090, 600380944, 281670410, 353134197, 101885071, 493683033, 166016004, 810782632, 707576451, 949309966, 545023140, 708193432, 498163421, 429238081, 312089475, 50220893, 932820594, 713300304, 71871687, 204880029, 544450765, 437085281, 335985024, 28159139, 456341246, 372004792, 910956618, 726650839, 359326628, 599652092, 1069052856, 586497204, 628026491, 895009268, 886367532, 731307676, 266218739, 755246483, 289189540, 828766599, 1035641436, 408422190, 143397630, 896735088, 13030233, 531836878, 482111274, 265110148, 350740346, 1008285620, 769871726, 31976520, 950697551, 2254597, 10602570, 851612303, 619426639, 932737944, 583953473, 804508636, 349995714, 972388267, 1067620918, 987045472, 686528411, 87394251, 369290866, 121594637, 249091510, 7482044, 57734955, 931542606, 410896107, 153241784, 395812714, 11243698, 106747891, 864168196, 378590547, 520453871, 201894306, 272670481, 862239384, 789846565, 92517176, 695651154, 983646204, 956562159, 995615563, 515617581, 850212741, 2023331, 630936383, 953638225, 4368917, 124874371, 328814510, 1033095016, 994231135, 596249694, 171232356, 298946414, 631473445, 760896755, 541312084, 823607030, 23812514, 961211515, 138148094, 585993505, 578929198, 592053049, 605873696, 203243367, 1032619476, 255795550, 233354183, 289224952, 1028674278, 594531870, 290459451, 784806200, 206465379, 397437719, 374066515, 624993762, 410427758, 925862113, 257037470, 966149387, 971665324, 1053853333, 427927594, 444152734, 108190875, 375239154, 198330916, 1051864928, 178253046, 148512158, 910613801, 628615259, 675184036, 6902395, 728828961, 977887687, 311091880, 345181044, 539339881, 438104710, 237812911, 331879423, 466857782, 500943610, 971519944, 24120366, 174955841, 918023457, 839745591, 844403485, 42652832, 993394829, 121720096, 374126871, 299013231, 308129877, 1025074611, 1057869953, 613094538, 339549164, 586637302, 390681382, 531002597, 858961840, 872984154, 307851966, 372033884, 333375081, 157780589, 721593778, 907132770, 173749054, 444666488, 437076996, 737653350, 301557732, 274706147, 587083419, 265637259, 405118249, 260493290, 668982492, 559697147, 910068148, 957977631, 224105863, 358290301, 122174558, 556864203, 940939999, 635131190, 987248014, 987919080, 39251991, 411142973, 784857854, 71361717, 406379587, 594528935, 948247401, 891407628, 201208637, 255153885, 84658635, 816363758, 410143105, 376038520, 118960713, 964140124, 964268705, 712388181, 961260737, 54040120, 877329799, 55409418, 841660956, 90251276, 958633957, 619184798, 827873035, 690829353, 830889613, 920175116, 624896742, 102078345, 89600908, 720310144, 1046376136, 724994826, 215711617, 697361111, 557294216, 120599326, 984209214, 98291830, 237082963, 488310878, 131030793, 670351147, 565737219, 345456382, 26047656, 99837837, 358083258, 300370761, 48894640, 444614761, 57714551, 736721944, 694815216, 572282031, 385814751, 785368620, 671521711, 31623789, 920049795, 114871195, 751161655, 982227956, 163477439, 999282241, 792634940, 411535176, 150735805, 394993905, 812279198, 59143181, 367559638, 522780531, 575925511, 674263087, 883295454, 92321704, 221584388, 972429860, 53805608, 367717990, 893643549, 864088622, 757629339, 679801108, 253385113, 249370350, 669709966, 170817778, 374676571, 132029549, 963237619, 357018623, 1042721634, 971328225, 438750941, 725395437, 978633351, 982908885, 521826575, 437712010, 214621327, 266544490, 900505542, 479910917, 168821584, 643641387, 191713007, 814943609, 323944011, 800409480, 927807257, 592694260, 984663901, 738778557, 243041348, 707454941, 12310386, 638275353, 290822210, 927462035, 310879986, 121257208, 681431155, 366977148, 399160127, 761134017, 281681127, 62830488, 315608330, 942394554, 368791487, 213979715, 121394525, 633485559, 309026868, 741219977, 555882757, 763574239, 1037036605, 2687620, 432053391, 43263128, 36486907, 651681280, 492858599, 673266594, 150018272, 1004435252, 233954528, 828152353, 906748566, 451730873, 757433446, 31433493, 551949200, 526694480, 198059423, 609510612, 421825168, 628100191, 737976573, 887719042, 84636618, 578869209, 642964922, 673425536, 217716253, 38028573, 591689008, 261109299, 280621877, 882366806, 618847728, 1019436934, 1006832829, 121821109, 863044490, 686590551, 341255406, 133433204, 446283481, 71031684, 1061921731, 19441412, 807166880, 300740084, 453295639, 746035153, 560404873, 762446027, 102112910, 492781055, 702038750, 327590184, 640379803, 371193487, 293249065, 43183755, 773768565, 331153196, 494748687, 711621520, 547437688, 756148606, 688220264, 232706236, 1059572126, 790254134, 834517522, 716968975, 38343984, 806353372, 525812689, 333600663, 230513892, 619241827, 1051084547, 658303904, 409251770, 226687357, 140987861, 801928090, 157878553, 97611965, 331001195, 586904839, 1054509575, 953638241, 178913445, 405765486, 742296997, 56935857, 275291891, 741492182, 1031046771, 565891447, 697540174, 597442318, 744175309, 629253765, 505310481, 706968900, 72419119, 235452593, 435227915, 59735101, 664725350, 37869414, 969581914, 972956510, 873825880, 223815944, 1005313506, 327615146, 489589054, 346273852, 37214213, 950995211, 613500498, 131665972, 588846884, 172745696, 635271942, 605527360, 425235199, 84266072, 1009615675, 919847791, 855545255, 426669777, 856424671, 800016169, 341432127, 7638652, 397082799, 530743887, 751982334, 669621054, 653671381, 736063445, 444443260, 506479372, 190745787, 994626112, 477136800, 800822939, 860685406, 18159013, 203984691, 996314949, 1003993119, 676234048, 34550612, 547246530, 875258340, 3184083, 608021520, 124130057, 371882405, 174819182, 233043295, 341450120, 932367430, 176870881, 881012606, 1093481, 643965480, 1016224717, 942946516, 691840118, 419373231, 624710755, 694170287, 46300825, 584129881, 993705328, 286859580, 648652610, 347181041, 430962078, 850896947, 211285057, 524850415, 664953752, 242355066, 477701821, 983281292, 398885476, 550331903, 198482245, 373794309, 1064071933, 909412101, 495541658, 1065937922, 106705381, 196934200, 154945148, 961802189, 207042945, 362645701, 984437822, 726383123, 620534904, 474467959, 477711184, 758340909, 281791144, 819036365, 289517137, 623456796, 910580752, 946255368, 334519729, 947561364, 838964188, 1059030942, 633264185, 300255340, 834923166, 365899863, 477089398, 642071705, 808088567, 326597511, 241498431, 1010726053, 917041272, 244198377, 792197600, 113659086, 854964366, 1039901092, 194978817, 341938986, 56001644, 318266774, 648921626, 165192124, 444988345, 622248214, 784316805, 295541712, 314019819, 38194466, 447880295, 745272657, 906225569, 538661925, 913856880, 224854589, 771720719, 21417545, 508309541, 957757190, 948095001, 49456739, 532198671, 928588809, 856744722, 41196250, 797755978, 77958515, 44206411, 984130454, 605353019, 103911207, 169054594, 453980591, 971842, 640518975, 401064976, 195861359, 356608242, 181488076, 73288259, 341531020, 1055480459, 1004435311, 530381006, 654541414, 64710331, 765234833, 179169060, 350804196, 1030280000, 689860055, 114647841, 1042082830, 808002211, 1003022328, 876188802, 771663951, 311180801, 782686475, 84858681, 466705578, 929818314, 299927345, 812568567, 190695336, 674460497, 455804188, 708316279, 439790631, 735356608, 804486798, 997769223, 285726680, 772729105, 981001493, 276450998, 772929659, 766257618, 518684370, 1044495779, 72007320, 124837420, 252307642, 928138752, 619507681, 727210100, 1037985020, 748443778, 864932752, 236000394, 931831464, 921255335, 781548392, 907207320, 406080582, 653291305, 255458670, 256724724, 52527270, 46700960, 573758876, 265913876, 589260864, 161468861, 583150971, 339549270, 296861911, 420900939, 156695580, 620409987, 1018685868, 100085269, 350051132, 273230442, 1050026249, 800102261, 791229855, 470707, 855436298, 126965830, 885034700, 637715769, 677415547, 346663115, 566014932, 388226763, 210506963, 155728299, 667488816, 385810894, 949561430, 194852157, 666355722, 152272031, 266478914, 560291644, 81188563, 238924946, 702500516, 137317407, 945269530, 504580710, 373117953, 860600128, 778394536, 563147810, 524882920, 733166012, 476306026, 983029549, 461952243, 638713547, 517999910, 726338495, 658712334, 66010130, 840688667, 949064267, 531023541, 1013898446, 143953316, 878571998, 1057272314, 515547420, 906920834, 811413983, 572828084, 275215479, 654661849, 386307087, 129234907, 61343712, 244774908, 382236155, 337039265, 645749688, 271859297, 875850758, 788138612, 1055466807, 669874171, 106980813, 966076418, 766703643, 564224718, 683366081, 774507987, 551087317, 346627181, 343647547, 663422167, 964594238, 1250237, 794350472, 604744649, 554409845, 73143657, 604345282, 1030439991, 346301421, 220545558, 578891570, 684405329, 52193910, 65676042, 967646671, 31765000, 494476359, 752440814, 911585171, 845181887, 157824030, 575577804, 518980361, 456378869, 582703542, 926717616, 367216210, 793723892, 729375860, 203629981, 863220513, 304416686, 908555373, 291628412, 862759398, 862663324, 385293976, 43343621, 402758191, 138406706, 768711649, 449305138, 1052923548, 665968223, 1045887605, 133463380, 268927915, 600997834, 619168672, 517327436, 307848660, 124186786, 778004454, 226464945, 988159214, 348679545, 959173120, 459966026, 928679232, 331814434, 1061095833, 128012587, 1695059, 435683127, 224906848, 365569069, 905013204, 426109507, 61325516, 920658123, 89965886, 3535932, 898643940, 198318682, 210942140, 940400225, 391140162, 53933191, 259266541, 138587340, 314797095, 25575227, 79993094, 500326056, 101237914, 748051858, 15813760, 550933330, 603520306, 533793088, 360118847, 679471619, 863992049, 542985995, 344433094, 701416889, 508293079, 1039239367, 899864169, 120171591, 709317916, 990338268, 936937697, 595466268, 207193223, 995358372, 291263905, 274672599, 876634732, 635964324, 687672955, 253833836, 571566888, 817185054, 553613600, 675451879, 202823215, 542662002, 424054451, 1003743422, 723258854, 677534440, 980113919, 447947122, 438706665, 504440961, 25515788, 475214510, 976717045, 360286851, 709981338, 833751411, 258901973, 580858334, 202955866, 581881298, 470835294, 838218036, 642781458, 222148905, 815924823, 924472744, 600798466, 70176103, 199048832, 320215179, 277199511, 824167476, 1032277677, 469216411, 378297486, 359842381, 207591833, 923785620, 44983993, 817831060, 840812767, 46032780, 1031527838, 182323792, 154744237, 905162505, 679257885, 475145159, 866117922, 1020777167, 904721750, 116546599, 230525744, 998041855, 498992102, 822835105, 228323585, 288172058, 354271836, 496480729, 337015997, 1623197, 883713374, 648543089, 238552281, 784112568, 808543663, 1003763002, 843864491, 452105335, 29894005, 406981217, 712428900, 629474041, 1058027177, 569434245, 542135291, 158761608, 881098251, 630280216, 1312892, 561268508, 643069921, 503671842, 480806275, 189756535, 146498608, 16200757, 1057688926, 606532462, 916063608, 856142367, 637063193, 280637586, 427314285, 390794629, 629331544, 383437953, 750870362, 792685463, 142098185, 851529686, 5920853, 729508261, 27695277, 773014868, 811132111, 592273734, 938234654, 160795199, 344886892, 354013074, 556797542, 369739842, 72512069, 235745842, 580633495, 785028927, 858746971, 853361394, 314803610, 153257635, 569874704, 871384799, 536154022, 679838460, 672269440, 52191928, 975491829, 289657777, 827509260, 843295838, 594782643, 578730794, 647861054, 451677724, 185072558, 1021690111, 498534470, 237705138, 511259393, 635489429, 1848547, 765800542, 124724572, 738187950, 398450717, 535908843, 1052803800, 66789651, 112838473, 143710151, 437835484, 1020309616, 105512771, 683079561, 113788654, 769045944, 270514783, 228970176, 767715940, 1053785361, 522742034, 130544105, 598024593, 1000011712, 475612460, 248270979, 834773875, 988066428, 6213895, 244524395, 735243533, 747680537, 228048314, 185237823, 217396516, 744349773, 543180395, 69628282, 827927776, 877135593, 872339088, 411408539, 1015954254, 256426071, 231254426, 799556422, 647927811, 670106285, 556517951, 943729544, 1005446717, 1014952688, 500152595, 889762392, 814550951, 969784003, 133440716, 219100349, 458487880, 172681897, 417883666, 592704127, 367892605, 930808981, 636866591, 756815496, 259252371, 253450899, 528845874, 641065652, 368573144, 924111889, 345373005, 538576660, 748801821, 621876359, 614114089, 424330797, 578074907, 85266306, 278304212, 547013497, 846300888, 658864428, 458657835, 233961725, 86917413, 562306860, 498553390, 713395516, 57806103, 642091890, 933263124, 356463207, 727068840, 40753560, 306803414, 896012744, 785550846, 264533296, 764989180, 764913937, 556313617, 557924693, 856186087, 929024179, 228317337, 571730186, 471696576, 535507688, 979654473, 1021410463, 1031424619, 975105526, 884052021, 526743359, 638492688, 177056818, 438944499, 648074306, 119318835, 1025107969, 695079757, 478624888, 292211809, 296613044, 27208714, 997241300, 778365674, 80890718, 731122661, 813386536, 964145322, 259747684, 366970479, 641905196, 519873876, 828343920, 760518929, 505493026, 410926474, 945268798, 667564129, 437734429, 621194712, 217457255, 349697041, 217631193, 902330110, 952071553, 997836397, 730841152, 202726889, 460536512, 352578288, 908363480, 792634274, 1043954085, 548098777, 924469406, 992540125, 21256549, 1070652553, 417620622, 728816386, 577077378, 121631056, 2766847, 618530375, 721239512, 1004378924, 1060240534, 415942244, 434636705, 808469463, 996166350, 104281170, 935588247, 1065478752, 372970467, 332439214, 802057351, 227313863, 423101308, 869895708, 51162216, 118691324, 892258546, 863692236, 693236661, 646586438, 618114724, 776454098, 1014726144, 608419996, 917130104, 684061617, 356512253, 50812308, 708077035, 776029365, 657320344, 485446152, 489762401, 506530308, 810625525, 370535271, 331563020, 554711941, 107031591, 320222951, 106166161, 242257906, 897954206, 1007685071, 96897700, 784701632, 855407675, 706095437, 611991064, 775480393, 273708898, 816869534, 406783624, 94630140, 168223247, 611028581, 812201888, 199463402, 701717047, 899632181, 308382963, 725030565, 629071588, 805211881, 133371611, 900816952, 620464377, 952698524, 456765940, 847732944, 308788779, 68459587, 796702867, 1057754656, 910399475, 383398739, 421075106, 205937707, 650283082, 1055815133, 1058311956, 36547561, 586650990, 865378879, 970421463, 712291152, 709950201, 27915558, 738795096, 134493504, 427075459, 697143211, 318300281, 34734470, 259450299, 121538224, 833115955, 544432689, 29092629, 953550874, 486534369, 136321526, 786399716, 740323425, 670577922, 166960883, 331735584, 454904522, 134735462, 402607909, 580569929, 47302598, 523968884, 296783833, 393797650, 773004570, 731958960, 858732727, 304272879, 882689246, 599635036, 67027585, 374189605, 199068807, 1067885821, 204146204, 456486140, 791695480, 764415243, 797277773, 163116598, 181508373, 866753503, 202784764, 453997279, 61094116, 549356392, 40532978, 718256899, 526372284, 584581540, 66334392, 1015243680, 242317863, 561031499, 106213318, 774142105, 120991550, 890872732, 324478993, 1060813548, 323068279, 23547757, 377714469, 761507996, 912210518, 199849903, 721335210, 645714478, 825385869, 334239087, 824647763, 979251953, 309367471, 458907125, 508609058, 664233137, 294356390, 592100755, 111804883, 641048628, 511074624, 541530346, 813016087, 710096286, 70269305, 525134218, 962370485, 500193146, 828503819, 270416564, 43336330, 839980109, 417372936, 858641243, 513796138, 4882051, 1012940291, 378631181, 389265794, 1020811574, 479735466, 391683358, 883774774, 1072993063, 722182720, 99327475, 917641329, 970267510, 806520814, 551213675, 659653292, 168449502, 671955866, 38961377, 985413086, 830185318, 1045174027, 234563896, 365407186, 823863384, 655722145, 309172132, 457200697, 851168357, 3534577, 432365147, 384364425, 973088854, 261854664, 48520787, 821092344, 308388847, 863022596, 169108461, 465032197, 600573208, 453038234, 244038298, 400824186, 963138394, 581277904, 527550650, 926728292, 323521659, 918853403, 508835464, 690171428, 745339478, 173486163, 395055978, 495960523, 844637161, 165426011, 907550056, 1051946687, 1030533588, 144340004, 65611766, 164303085, 589615473, 1005442703, 1045082637, 936101307, 217406500, 432933304, 458996882, 516847624, 774576031, 917141235, 500385099, 147783287, 820294834, 15269817, 145834032, 435073395, 193411602, 877548105, 288834434, 842011598, 377455601, 800335084, 25957426, 1014615684, 395662991, 643265473, 56290099, 958456359, 212580459, 1040524858, 112531005, 520483183, 76902544, 947818077, 352986476, 186928175, 307075650, 781875806, 269429887, 541994912, 668941864, 287188471, 515634089, 676191142, 536326142, 222599759, 391066993, 134920414, 1037809457, 814291171, 26602944, 244298522, 318091233, 617967129, 479017893, 508209441, 841992187, 501911317, 130054801, 1022501855, 947837762, 547492443, 153452398, 190677554, 356173441, 486209991, 1036881397, 846108821, 825019447, 435961095, 1185547, 45613306, 1044297557, 669044905, 374502952, 274386595, 250361624, 836684420, 1066888754, 299505229, 536275399, 13982657, 646683919, 922172407, 1005690981, 553486498, 413547545, 66669658, 573180699, 412047127, 400567418, 465716894, 751511924, 762568747, 710761027, 720050943, 443453977, 612256680, 1004856972, 394988005, 412194166, 885124645, 43657855, 85438963, 44743160, 714485085, 413387518, 786642902, 425859251, 329766524, 666582913, 559146027, 123898108, 442598998, 168738130, 1014506863, 178613450, 232260347, 880274859, 814028333, 344380519, 988653677, 798438837, 609858322, 907128194, 382682335, 480916316, 7745731, 103388253, 249321650, 880671200, 854270874, 236096013, 760727197, 612080244, 933082625, 320575062, 583838545, 242970797, 897407093, 543521420, 64582165, 268977940, 1013388975, 119679256, 910784224, 260869854, 806885006, 265633782, 1030036940, 470593418, 9198044, 578799896, 6654118, 92153908, 552394073, 108751982, 881401034, 300041904, 389537121, 356005882, 794230817, 759753299, 3943731, 827936715, 703165656, 1006226287, 951259200, 612544142, 768334955, 806380238, 305278219, 656335136, 1057776488, 1016216648, 143063522, 89700496, 335919614, 55312355, 921794522, 592423450, 38613586, 658234776, 566210262, 554127224, 933872173, 196320444, 328571178, 24451966, 459533605, 122329453, 424837565, 252010046, 837770931, 934624116, 524405306, 526808115, 520638245, 71229721, 901865960, 85307746, 514117811, 746293018, 406302646, 912697742, 925145690, 1008164332, 972282450, 498898894, 173159104, 853266844, 724320687, 342509568, 377361853, 197478853, 79428899, 390474972, 129335325, 262034995, 951528898, 50386285, 779671590, 536586021, 438067001, 530451397, 342166784, 171748149, 145631065, 162722667, 264362759, 977458352, 586860027, 710677406, 767534295, 106495030, 918443376, 1023738742, 429506657, 1059004511, 916608031, 701987003, 76685524, 40919098, 86533004, 648651315, 169029708, 226029687, 452317547, 24860111, 150345632, 667686630, 238169549, 1049531926, 58464562, 535966202, 697423490, 942381879, 896019391, 229315685, 590700586, 294883434, 546033671, 906501534, 648921458, 1069038561, 1020869418, 326023964, 427604581, 922191422, 42170929, 407431079, 971581639, 640848687, 510414702, 803000256, 241854504, 676022997, 92187218, 140123007, 91667360, 709150956, 799652836, 439987319, 177406689, 318232411, 855238839, 451303824, 437500956, 171616507, 193119159, 475851248, 1047626841, 211940421, 440497308, 184187394, 682907647, 100549049, 252347003, 157786805, 1023979883, 101634906, 512336827, 234150090, 87453912, 72164013, 94165122, 499104379, 75411537, 898615095, 954046124, 258157406, 396854888, 862779178, 651370835, 785665691, 973351929, 61313778, 398476631, 240190427, 925554159, 930252038, 10603149, 988368046, 695846330, 59194954, 689957240, 121227246, 983277944, 793982749, 214866921, 264850070, 993655310, 61884674, 903624666, 537142136, 97190611, 567632034, 226565957, 467598658, 505404797, 740995864, 436321515, 584286719, 564476356, 633999399, 835432772, 48987678, 951646664, 1065739465, 808660061, 1072074770, 522411800, 913190073, 370171236, 836631906, 1050520146, 157643171, 87405370, 787280858, 1053532582, 729137653, 80113519, 616155953, 229263042, 1027700294, 932259047, 211815983, 698684699, 790128128, 399733761, 653695614, 724177612, 690140574, 833081499, 548573799, 509924443, 747193011, 1012329246, 368381317, 88288168, 23523004, 49674165, 92023819, 622331045, 726641859, 154700323, 981096467, 553739231, 126789370, 396967415, 373073678, 351894989, 793741647, 313730762, 885559002, 629273524, 80021220, 275245952, 819953782, 875474318, 1003360107, 477734350, 649952929, 714713445, 487321404, 240803362, 212718758, 460859690, 538374989, 451942067, 103585189, 59000089, 615312277, 113796451, 316870738, 636478265, 766019258, 309464210, 69733990, 28167582, 692063509, 898742406, 906665743, 1004471782, 341935791, 245059414, 255226192, 219967155, 230283506, 995998424, 909502280, 569527516, 869334299, 1054924442, 320407655, 266814690, 385936631, 65706490, 541374255, 663237091, 15629845, 83701193, 908727146, 321033945, 551765867, 517608070, 395041751, 527541156, 353282402, 955967545, 853491405, 644957791, 545857861, 721140217, 928841723, 601171960, 113481842, 978339542, 1012681919, 82215079, 821196783, 585098926, 196787096, 996934894, 350461377, 996519682, 16948500, 990298327, 503497723, 155302652, 803404585, 362173723, 732263435, 494828694, 70744506, 138115964, 224846444, 64190503, 176904318, 348600641, 807300249, 1043145116, 41706591, 846062281, 918055381, 595872089, 992944502, 145344933, 294841524, 193196089, 735358667, 229813352, 395018788, 477813892, 933945515, 704060747, 136784480, 831078278, 224706786, 79763696, 1056685190, 814510723, 391490117, 358340553, 493682983, 16668701, 244396210, 794702930, 666576435, 1049487905, 625078042, 626216758, 794336437, 17474860, 478682815, 1059265684, 65477984, 336823908, 886612576, 364602203, 343625090, 1027343738, 18196564, 739324047, 436338932, 868197407, 887891744, 323205065, 162953246, 38270656, 258596354, 426527239, 712844713, 616009177, 1055098837, 1020653862, 90007776, 1021114372, 484509071, 788771603, 945197131, 1072105371, 351392460, 835312427, 829490308, 763783514, 425286180, 363021181, 440978853, 1017924462, 328226152, 812061108, 526475102, 689278320, 125031249, 493643557, 71059917, 959159793, 552131615, 747527824, 455163724, 254356957, 317429647, 523970071, 804519179, 503514927, 744086579, 355920822, 16675049, 358903361, 18929718, 1071883063, 687154470, 775749098, 614928763, 574774276, 722676027, 970652260, 681874057, 870809146, 1036712675, 938232118, 822515720, 114351662, 994127715, 19176914, 786859121, 907343990, 987322884, 115079156, 514672110, 911523607, 198159812, 322730225, 144861152, 447343633, 453254222, 306642088, 334696548, 500912783, 168844610, 196815456, 565887887, 210131166, 13477044, 85584964, 579460152, 104254678, 131500718, 877752350, 663907244, 1024969428, 251759032, 753753507, 391334856, 300953519, 1030543604, 564149873, 167438952, 726607518, 518075022, 286362474, 112744170, 914434358, 1063431213, 209061991, 200598763, 862982090, 104761588, 1053141349, 217765218, 208258049, 901398756, 870873656, 930993420, 791397137, 953594701, 564976516, 825125376, 1032969402, 230806495, 176423589, 271030250, 291207768, 359081261, 584233882, 295243253, 61004712, 947541446, 28127435, 724709228, 705246764, 161271836, 497629039, 242008173, 681039049, 876822952, 50370999, 77063032, 673354287, 325456704, 873083481, 963881540, 778304331, 212025814, 461385462, 99018143, 139127533, 743421042, 919285981, 327570497, 1040053080, 136038137, 247270138, 378649997, 368810513, 945890420, 854400847, 599499426, 480602814, 631000973, 246417750, 664432719, 30174360, 322026631, 745647888, 568408044, 207663174, 21781376, 775269087, 917180840, 550163817, 68184085, 666197687, 405503728, 1004228356, 907744519, 1054962996, 617086, 992355601, 338669097, 75027506, 53880619, 80806270, 403002924, 787652353, 656229684, 894839983, 367249948, 603186707, 592114791, 165594136, 418920421, 232845817, 271642663, 260769881, 105685123, 324611523, 381395695, 455323621, 463691535, 808501821, 17664166, 428825810, 835745226, 351556142, 20813869, 265331263, 738140253, 219174397, 459527015, 100111286, 332828497, 184908146, 1066517752, 81497190, 476460750, 422892456, 107018366, 691512758, 195250270, 20963298, 353871181, 495269163, 801495157, 362101470, 378365092, 713729713, 292055750, 481616887, 959440025, 744794231, 541366465, 969243527, 436012309, 611070764, 78327292, 429359863, 480980703, 798767465, 832189748, 919271622, 520326062, 741075786, 886573413, 825588080, 8492735, 936578109, 588156701, 737609836, 912755660, 356287225, 554203120, 207980080, 619513456, 940279572, 426884737, 731629811, 874229806, 862566447, 298394319, 437505164, 601002623, 925146477, 417409979, 13502860, 840458505, 38031890, 989210837, 683128127, 768326912, 482524710, 423967325, 1017538754, 241405105, 532786976, 638410655, 738381884, 814531366, 453922367, 590366638, 36215169, 70019631, 844454114, 571454941, 694911014, 692530596, 86540564, 1057114842, 469563393, 541900217, 35937042, 660339427, 512826935, 646767409, 134806454, 695057973, 930535162, 295040330, 448370165, 181438318, 1006584438, 304121588, 1015042799, 762364244, 589418036, 686182250, 962828304, 65028067, 2163171, 820519202, 561793169, 205971766, 536971056, 146815602, 465380459, 377646943, 786987471, 930984780, 239391395, 761336878, 1054067169, 824695063, 389310637, 204333661, 473448394, 1069787102, 465794863, 79628854, 820367781, 11894158, 621241981, 315124703, 648723586, 546546054, 1014488149, 851120689, 234494212, 315992576, 89602253, 246310011, 912756159, 384245248, 1058899867, 2560737, 179973874, 765600374, 336725427, 773801817, 501985665, 439491612, 289661233, 867364521, 988002030, 13896231, 327207794, 906150865, 122899896, 811285232, 1014593899, 526500475, 447111364, 778883991, 443799378, 423619549, 141167720, 503267432, 191702550, 816013116, 260773327, 435705988, 94934050, 808089640, 964618891, 981917840, 444406907, 928745316, 585614002, 1004218009, 405094430, 21594073, 480725809, 749911883, 346085412, 902724737, 454845891, 4636573, 107916939, 1016195739, 108448489, 530058617, 890880539, 64459416, 449155397, 418578207, 1016444261, 245193301, 340850731, 783082842, 633277977, 92335370, 407097237, 866178040, 138500783, 1040188524, 655336390, 994987329, 415999311, 852493604, 802654085, 917599465, 483827333, 436136034, 83378421, 308556244, 348801049, 384466092, 1056796564, 978212714, 227871377, 499141003, 766218329, 669092754, 297194348, 51109037, 453639298, 676518374, 1027909912, 30763386, 211656199, 297623974, 215682502, 141683489, 629564108, 223368196, 125287035, 432304817, 168936051, 364185244, 259232992, 767097767, 734376032, 143326260, 289043258, 604544375, 459110907, 144285174, 169318415, 956366695, 649359406, 478394874, 546136325, 483624396, 54851206, 400949919, 555399888, 281286866, 161302831, 298810448, 662055940, 152220364, 991446631, 288244492, 519862156, 358885658, 88892317, 279717649, 6727137, 343641281, 405320581, 142304475, 660511789, 28777268, 754300184, 194274337, 845556736, 435001775, 221726297, 238826645, 817025749, 729266866, 1069115975, 840465929, 737863591, 313897964, 626033484, 553767364, 869398378, 23908386, 522538674, 7854355, 939854520, 760539470, 926479139, 818229918, 240496394, 355661740, 1017267312, 146019216, 203046411, 245605400, 971065932, 50764002, 755883693, 50527337, 939748662, 72792679, 552146921, 1048025972, 1015835119, 203518509, 1020412063, 192575376, 122957217, 833125264, 966671261, 1038995411, 463966655, 391380541, 157476522, 42442577, 639684378, 60860914, 580375162, 264188982, 214000201, 790642735, 479415440, 740850547, 267343162, 120481926, 998866031, 869531836, 189343595, 699314029, 87102349, 625009528, 853062019, 465178232, 179699086, 1020441561, 210998918, 952970904, 313023143, 416408790, 214216517, 638580754, 719473670, 44155033, 244453017, 376619831, 22744984, 919581614, 45018819, 316325801, 812932535, 436333495, 349901589, 997647972, 454774522, 990493148, 670849716, 212502940, 267009430, 553138742, 988227582, 964238709, 770243732, 600518275, 973463934, 43215993, 87095959, 505934029, 678048162, 947278276, 5185643, 655407050, 526539809, 980311598, 760946543, 6428804, 920289951, 512531815, 896267429, 437140055, 456491740, 19419244, 366409045, 811804251, 280759417, 838766523, 693273070, 1046105019, 308675795, 268735868, 764638848, 914699273, 237626385, 620636468, 231068930, 880359080, 133868479, 431382914, 943302611, 173083617, 922954676, 625015042, 831769860, 155323129, 79484224, 928561898, 1003608103, 169436022, 246128135, 167729915, 282602876, 775281875, 190152219, 314031300, 892972382, 425398138, 816184555, 9304145, 553711206, 284873308, 759881195, 220239828, 59821102, 375540502, 1029392451, 876800450, 854156673, 256623069, 218103716, 1049536859, 483180411, 397738776, 427856045, 590477760, 720775295, 187963014, 270503901, 166853197, 355315035, 604647088, 842915778, 218404246, 244972063, 987987721, 29378790, 952569808, 685162813, 1009281653, 929898359, 465970185, 1008693362, 566033032, 349394755, 222253709, 654695336, 11474760, 951336046, 1006416140, 750161289, 345410111, 844696437, 166693773, 464349633, 1067976311, 276618535, 897787416, 36888230, 161158665, 1009312666, 297613094, 249967416, 675795436, 38764549, 418600228, 309231421, 82581453, 924295025, 525146043, 909734225, 60371436, 513803747, 525930512, 531336913, 52089677, 753342086, 193195901, 296422653, 457083881, 494689526, 237106831, 1005988789, 313681554, 814791455, 979942848, 1066203817, 716281947, 348205052, 435679973, 691355252, 199419721, 908190071, 75029395, 539423959, 1050114942, 516787216, 679592573, 986126527, 3429487, 625327849, 235702001, 666357654, 964081506, 888236629, 42955590, 825276336, 526454438, 84621340, 138755319, 473537061, 346910042, 677819541, 713960367, 396358583, 466513276, 802865798, 985962697, 1042699323, 173195336, 928589312, 36544274, 747299378, 858283187, 819447781, 588576478, 170914355, 332424395, 1058123910, 331175894, 229041198, 330137613, 73659101, 1000300543, 1030593801, 274862126, 124471195, 278110204, 488081798, 321753984, 235625029, 336201358, 1007373312, 88847481, 342591572, 954023664, 357631497, 705736556, 302498091, 140287226, 989877049, 199389838, 682403365, 486984759, 1006153657, 1062387905, 42462309, 238933987, 1019836115, 399093458, 651822524, 904179719, 975983506, 165047427, 40201364, 512686666, 684363285, 541754493, 375545752, 609147298, 384835909, 335772911, 67610744, 1071722347, 538536512, 321404356, 62558222, 680336315, 549219958, 594543891, 633999318, 597715274, 885114608, 718719558, 708410525, 779193134, 742490066, 859276995, 920277365, 193817138, 1008165482, 78737293, 633240970, 181428027, 855875131, 856893381, 1003182801, 429855778, 392507685, 347335968, 1060259331, 770517516, 531322910, 480866034, 270927, 1050214988, 768879356, 78599235, 376391298, 774511138, 899537003, 261464430, 474166421, 1031902142, 321127413, 426527348, 888880794, 668954656, 187832741, 503471683, 143757647, 972291945, 316786262, 543406812, 440073204, 590492199, 635320136, 6753567, 750054022, 400283080, 330095797, 182621546, 677238546, 354831396, 209617853, 957097865, 119793885, 746921074, 537129429, 977811409, 596205940, 711240974, 187756326, 148789064, 338410100, 407823952, 766170808, 455760491, 536500485, 914534653, 745430316, 548771193, 201772541, 794655541, 345041392, 919938154, 568233034, 913361997, 660109320, 1031691165, 235330931, 801715868, 364755055, 677262918, 349854531, 588653438, 477882161, 875487368, 304374561, 357694181, 242569647, 1042207067, 855159567, 714309671, 689239000, 756313923, 927102005, 726992225, 9825904, 658608517, 727280312, 657453549, 1054184797, 330443552, 182142401, 571550223, 293387256, 235608648, 223249375, 609106927, 641938334, 214083630, 479480066, 857760333, 532263334, 48841842, 425702902, 893457715, 34088919, 1049826823, 556973607, 506490230, 935101967, 353431882, 118127529, 189422534, 620054349, 968130621, 442404786, 452317487, 1070909974, 1035882258, 997579343, 624595068, 340616112, 346863672, 137188919, 979776047, 699757885, 384144381, 897453100, 136135406, 354104413, 815420679, 121736438, 909566074, 378375415, 118747726, 893464274, 672407557, 1046845216, 440336272, 587814202, 308498707, 1000569019, 449872110, 643880276, 800219257, 504836134, 857695913, 975548294, 52399709, 784945857, 143625290, 879512557, 447041408, 273355704, 44893518, 413429996, 804297082, 1064774516, 306477753, 458910300, 728056424, 669793607, 366142463, 635374667, 392845936, 953090083, 41577344, 639472793, 119382024, 169807014, 452981129, 930903731, 617916153, 221382030, 79348398, 1054700085, 1046591084, 399004803, 788188414, 642124549, 764499730, 877262163, 322124645, 873185129, 876486735, 355875834, 120031799, 65333504, 389467473, 801478418, 552814516, 691451131, 964741812, 248966699, 165623989, 660194660, 896521043, 106204999, 454531721, 429686207, 175356859, 733729495, 887720675, 804250463, 341162150, 877309385, 587323595, 548621773, 779753844, 445245927, 535028154, 170849831, 928725964, 380424293, 984335592, 400182850, 570971264, 796387281, 791279170, 52728819, 1056922031, 1047725250, 23352421, 775154837, 917581319, 295653653, 299399322, 867950493, 876093341, 117258354, 584512309, 790928625, 841506953, 787347095, 813575329, 171579866, 328562854, 82668210, 554460081, 986414604, 790451735, 68098295, 949267184, 470353343, 185237978, 108321577, 8954026, 253971866, 640611245, 294102471, 626103649, 204423280, 467962220, 272916437, 22386071, 178920537, 155453925, 255656130, 173808623, 774306418, 688234440, 60623232, 279287420, 149366515, 157313313, 171602792, 361952839, 103491115, 699426694, 46918711, 957802415, 820317674, 316728788, 499425460, 90783585, 537598014, 692184975, 314745850, 737312447, 711203825, 537937444, 471476396, 160612109, 58764336, 533966895, 542811233, 395466122, 649486904, 974784644, 450550240, 267886635, 168734346, 452586919, 918132510, 603615530, 699653419, 231575908, 97326920, 169245171, 636774813, 775417074, 125117077, 613084894, 329231124, 933687572, 652553306, 729536244, 607840690, 590356812, 256822682, 647872218, 297885617, 75987117, 506616293, 10895831, 771159895, 337501314, 393428492, 1026186980, 390789300, 394953419, 622233309, 1044301907, 798927826, 410237094, 861406406, 464489663, 247092268, 225367361, 1010219250, 780592224, 291381727, 951386754, 458827393, 236374656, 795677649, 66208330, 164183056, 247584002, 527733105, 359548083, 744730159, 846785808, 611448614, 1048099329, 440703829, 146758754, 158343511, 417493779, 785335721, 318330078, 558807709, 132838117, 826603450, 1026002037, 607993125, 477399080, 840881720, 582390829, 109922746, 170175314, 450919069, 493559492, 541062265, 612865302, 1009674492, 454611310, 543143829, 473130496, 619809420, 928305439, 170098990, 482744459, 822729880, 15960180, 398738891, 351795635, 323864756, 328791078, 436907529, 879700310, 725338189, 274564874, 86486369, 339437654, 544728967, 52139638, 485139777, 758340319, 500392887, 671197161, 777176400, 153923709, 587892131, 208695161, 293612107, 109299389, 246844607, 773989559, 137883429, 459636865, 536657478, 986755159, 501430015, 842740190, 667225761, 1012589025, 946986307, 263610496, 994490046, 34762982, 114935201, 741993607, 20967372, 378222049, 80428546, 1047623018, 432879976, 26216573, 42327638, 190000159, 84431130, 754343757, 898942669, 824348496, 890048648, 766112912, 226469245, 358226038, 831317098, 492173561, 1009287336, 23884276, 732291518, 488272218, 667167403, 732920241, 640099816, 476573555, 518447679, 243592884, 22790859, 885020137, 973141294, 524413117, 929582290, 716115900, 313603013, 527515228, 605048233, 973699362, 930449625, 485683935, 475694984, 152172492, 411518240, 388572191, 649091560, 904327718, 203531893, 156690543, 447792897, 312599556, 562888603, 915818144, 730130120, 935031802, 512164457, 15880053, 763164958, 488345546, 975218037, 30553691, 713105935, 134600621, 933509832, 311625085, 196295867, 872538095, 698247528, 359062665, 230745067, 328098476, 1058103450, 298238057, 527993664, 791885028, 706694465, 968213509, 516517793, 529157063, 377492504, 791435593, 900831849, 10666076, 852431958, 586974771, 834999857, 653386674, 339917610, 1073158018, 717146731, 576236913, 349087154, 131439769, 995578482, 753230139, 848423246, 382784841, 266623739, 695755854, 844779866, 861425761, 4916812, 900024205, 173983617, 53349846, 453234023, 240859616, 374475319, 396674937, 72134420, 198622292, 710978700, 38346253, 131344100, 96999202, 868197037, 935649654, 823402188, 548727199, 408407101, 348234625, 1039195281, 523838191, 266553839, 368582655, 964941663, 198628991, 890617509, 40791063, 762467279, 911379939, 170619009, 256377753, 583494759, 895736239, 428230133, 95196841, 808528648, 702860114, 180108956, 151370237, 226508407, 438325119, 157435125, 324668808, 290655585, 538259096, 232054604, 728855908, 450111664, 91641271, 349021088, 545900209, 780786635, 486827960, 932403840, 783108898, 349215913, 1015206182, 1013180045, 897343079, 1071110936, 545985700, 1018958964, 144932747, 965158477, 118979656, 414908694, 935831323, 578232888, 142571639, 344541930, 240217730, 279636728, 727404166, 615106510, 270879442, 979794022, 254924480, 16896888, 691644441, 785957214, 659975645, 908081456, 1031614149, 588991356, 1067622197, 382265592, 253839985, 1042634839, 977104853, 996348199, 344976369, 274912275, 928842492, 770063607, 1014014936, 156589356, 240224508, 485872708, 315311485, 620877523, 661659533, 853753091, 767724542, 512127539, 150987602, 786915641, 594361554, 813568026, 1014723131, 246236955, 1029367792, 922614221, 861364054, 1040737865, 87615003, 953856609, 618284977, 422125248, 968824625, 217898939, 307696447, 588045525, 281054745, 220081013, 776884439, 137690713, 988325261, 274996609, 440075642, 1064278415, 365477468, 365129206, 990724973, 314973982, 746391271, 353889333, 541160391, 312946123, 747750952, 950979704, 3940393, 403376629, 51418060, 325393612, 637164900, 106679088, 548909998, 153297919, 556991826, 509361960, 347210788, 944370557, 469366579, 132998503, 564591050, 935099802, 1023236186, 367560681, 551443296, 996071309, 33626942, 913142334, 576338163, 918172718, 518702139, 640043587, 138511113, 627089290, 611565104, 316088785, 1057377670, 569635721, 292157587, 52523163, 343854854, 790354133, 536432784, 608257432, 170282508, 849971600, 914876920, 759247209, 956716446, 714798928, 671931358, 240818488, 655038666, 877760569, 52362287, 373268473, 328650694, 560614496, 727508484, 32894323, 160340928, 47360011, 154344048, 628579067, 1068637641, 1026366926, 308043011, 813593008, 122141014, 510213987, 406000442, 11856078, 636087430, 48700786, 94521890, 121999834, 1037243432, 413406241, 824778359, 943463460, 629783008, 108909468, 799082940, 529815557, 689021508, 456283738, 267975962, 778334145, 733695040, 330995502, 865964030, 151016547, 258578766, 357969312, 332436897, 285464399, 914443626, 799301446, 575635696, 656851890, 157622615, 838480659, 226211234, 787285586, 378757455, 1070920920, 465998316, 241745887, 492796510, 758127746, 317748236, 714887879, 275784427, 1049018587, 1040502372, 619278456, 234019179, 763555689, 653903605, 395575488, 358203909, 461354590, 993301836, 138645555, 925950436, 339672056, 202808918, 562704427, 744999822, 66281557, 631792959, 1708548, 510110396, 538168567, 264724564, 806454851, 917490296, 41740956, 46592398, 145992452, 335141339, 1016405615, 158120694, 465571552, 257491105, 914333966, 925297969, 766228007, 119424966, 352089662, 712128532, 530279554, 106390174, 684985826, 484151781, 966595907, 1027948603, 727519772, 423792116, 438607128, 166411125, 1011888518, 982196067, 57216546, 47305327, 255212100, 718430194, 713523813, 661058649, 839593213, 291460265, 381396781, 1018332974, 374275219, 104200417, 652720287, 781353897, 697542191, 937796620, 1033681142, 312534875, 982110485, 33664562, 1043503858, 158818425, 114502051, 958815516, 368044841, 229474126, 306843136, 621542346, 507215137, 953919741, 450715172, 15818733, 476806292, 687093697, 860751816, 47392860, 967177045, 709177164, 931702738, 525842313, 588529301, 765334499, 47480733, 660685120, 769520507, 824813200, 981603770, 717696852, 918328260, 320980443, 777753864, 107254505, 595673097, 986288373, 716966671, 109965311, 735018882, 200440666, 136513781, 725846393, 938174382, 118901464, 316715647, 953460590, 106006518, 583562416, 239725281, 360716421, 770325760, 951003646, 297150374, 408511398, 123700575, 736904568, 916171016, 1048310019, 526777696, 844323713, 573549166, 513395882, 100308162, 81524747, 56039792, 1010326990, 840309622, 744186173, 285286691, 712810085, 816341685, 924808663, 24740861, 787915820, 96882312, 665941026, 944101716, 745001957, 786739171, 842706139, 583756672, 473923455, 789066470, 43744934, 310039109, 271493639, 363421038, 510167552, 853431228, 926986079, 886930639, 941510192, 168565308, 229410787, 330796115, 173746180, 180423786, 554263365, 129485896, 150062249, 871638974, 683642213, 916208592, 260600388, 1049333751, 526706887, 149956037, 710080069, 496214691, 764961205, 468742953, 691426094, 1008982635, 265430953, 842081747, 4642931, 796167522, 93468008, 386132250, 748972302, 59844627, 1023886191, 849897301, 582728184, 369384752, 947703424, 557477805, 187851, 910384623, 1055560354, 403784018, 1073648930, 648324730, 958981831, 312028194, 490720630, 837286252, 389305756, 809590545, 944723497, 1067123925, 131356998, 197555472, 1011066544, 543311992, 161992592, 1050600604, 341218431, 415669588, 400681217, 341731277, 42000963, 41646041, 257654493, 92164392, 618907656, 906691219, 166037750, 11975739, 356446317, 694586459, 631406450, 58427755, 944198511, 33944871, 383926559, 954459216, 291227570, 340413587, 526365254, 94057505, 586538768, 518482741, 44485524, 202770809, 344206789, 72635172, 1014345120, 452329623, 890647748, 135253689, 186152684, 85843848, 324470367, 496962119, 803301350, 329363200, 835617423, 84066643, 1012859572, 525292748, 626318757, 763134082, 654617885, 1043643453, 160438726, 163006854, 207742322, 99475621, 942905949, 91758674, 650508806, 429395755, 310594482, 687728894, 776137205, 194833410, 80804174, 183534856, 438778781, 494813721, 513222140, 92484109, 1056019091, 204143149, 594919285, 504555755, 1050138066, 708076757, 975163615, 867045069, 258768499, 383512469, 136636270, 367043486, 876181428, 505821582, 994224084, 796646973, 898945811, 606427248, 335292439, 350719486, 177151812, 640132714, 510979201, 640837453, 1049991096, 373787840, 944425984, 537025345, 421456661, 408017289, 869795166, 853138812, 893262734, 538688666, 1054661601, 779640145, 787525075, 58874929, 789456207, 590591157, 1004074196, 968455733, 967259295, 378007647, 19921748, 470594450, 722755766, 284236616, 114442911, 563370257, 884269939, 735605470, 187568737, 118284410, 1012259474, 141609952, 14419394, 52242287, 52560287, 1000180771, 497782444, 582668146, 240271641, 47968525, 82571424, 984993575, 147688241, 211680764, 392437843, 156294739, 131121094, 464946449, 503984871, 662602037, 378678073, 656988130, 913118093, 376367234, 563532834, 691514677, 539047666, 51562513, 507470120, 480682100, 614033094, 286695671, 102512859, 229425074, 796802912, 850720149, 994517758, 160548745, 404041046, 606820170, 432377441, 147422512, 703202069, 1042557347, 228132116, 627999400, 868154008, 199981010, 81782200, 164152958, 933175114, 441109738, 1018816976, 340735501, 665772132, 235276181, 432504972, 756950921, 337492137, 561130358, 235226791, 284139187, 1003814282, 343549596, 1028961, 850340530, 438129934, 550581085, 467599052, 553361904, 25502312, 447393107, 218262086, 142455895, 1063078886, 680406488, 120427064, 696058075, 455132436, 581567880, 186743780, 248340940, 263284616, 472878447, 914569391, 45103944, 473717479, 681332510, 516616264, 1020040024, 506923703, 438104784, 392573901, 845856627, 1024704661, 346023130, 1069093756, 180508484, 889246823, 596675882, 891550404, 885940396, 422831085, 277907708, 899067806, 137958589, 289520166, 581103333, 858007494, 789698539, 241837500, 4292917, 16540845, 704800527, 750228337, 732798544, 1041241037, 998180892, 946293568, 662500930, 951796433, 100190711, 940852281, 137358040, 163565366, 746044441, 433535734, 950277909, 883389052, 209703865, 1011130871, 600357736, 920167379, 746294884, 286630017, 859815572, 168674396, 886694574, 215823029, 418049854, 339371388, 863540126, 663274607, 700054376, 267839182, 81691424, 496253009, 652907531, 495751444, 73014799, 331134975, 760383293, 820404740, 111488994, 877879562, 325878503, 277778885, 570465359, 301510259, 591781195, 877415791, 559288618, 50228326, 1049253174, 457188834, 731608314, 167396426, 637508892, 704880561, 23500186, 678105375, 631856048, 725538863, 961180886, 500272317, 542905547, 461764394, 84945725, 501018344, 1052752471, 999932508, 954505610, 440330728, 920151320, 255051051, 448168786, 652867274, 944814730, 879312425, 467447547, 357040313, 994225100, 482751246, 654802217, 683774958, 831635258, 574696819, 138327191, 683575349, 619253790, 608613774, 948047922, 801986807, 533676034, 340794067, 625649206, 1032993698, 59277188, 610418095, 604563093, 19597889, 314542850, 383061132, 558340183, 226273427, 361448362, 524211108, 468922908, 159435084, 536608097, 64332175, 421941664, 214256614, 69771018, 133520060, 894322197, 348780689, 24995232, 88617269, 274652328, 368277549, 620113913, 557958715, 231200888, 123270944, 817112223, 655171881, 929727200, 170144189, 957764777, 770708786, 129059717, 725879523, 705719806, 668068027, 497689115, 448967279, 450323348, 281379642, 639043169, 382936632, 97934198, 660588872, 323832724, 522982641, 314634801, 362506472, 549896694, 615816216, 910878290, 298942576, 467829904, 479319095, 17037989, 832697562, 46281498, 417824294, 219534314, 601313376, 778516068, 609951097, 182519022, 605853144, 494307344, 260291556, 304460796, 259507183, 787040117, 981037952, 193180962, 792088160, 867189708, 903006910, 839372666, 168168352, 729698921, 851117550, 567713788, 126323935, 628297251, 198904082, 756785917, 422796545, 595429259, 326414553, 731342967, 756678003, 291453422, 836572650, 926159558, 368679141, 80098238, 815150846, 658603606, 59863798, 568164692, 15248973, 468631551, 933171807, 840040093, 665139129, 795520287, 1005433471, 46735201, 640875987, 52923653, 719295225, 885954376, 81948713, 458198303, 757201453, 388134224, 261389398, 509728402, 155764799, 479163569, 711157310, 722712288, 534588627, 1073632373, 70783200, 513813185, 240725064, 258569662, 465991423, 234499934, 959286480, 73287248, 424056223, 960957089, 792514601, 1035276529, 185328057, 135882345, 347905422, 88167332, 324095869, 635400542, 327856467, 95866987, 597212760, 167011904, 754114012, 565972564, 648216214, 884062346, 872604668, 471344605, 684329885, 381656475, 671081585, 609339941, 912152293, 893402141, 569581074, 316135575, 584528866, 102595182, 786053273, 784745766, 486714842, 202038665, 347274415, 62225506, 97497045, 762922230, 726715372, 869396209, 857653633, 495623204, 888360828, 756193218, 959687792, 40804970, 362539740, 57050386, 413085858, 146331154, 247713988, 673908260, 285709970, 1005690246, 12537463, 706997243, 394427452, 110701288, 378825519, 247466785, 872262083, 1028580105, 1025597426, 929339678, 148266568, 521150476, 962227794, 610270756, 192663553, 739788577, 576173827, 304969979, 455619726, 245954694, 845470152, 1065913209, 642347328, 886979043, 873426066, 30686769, 529173670, 1068040097, 253031276, 160973323, 839727533, 308264741, 571026021, 488780201, 311157125, 440353565, 363621303, 597904138, 414488764, 394071709, 336989326, 190868568, 479622278, 677344798, 114200905, 302524627, 1023041209, 166505735, 201567954, 1023555761, 883503545, 975614320, 11383623, 2373844, 938241575, 204986612, 374797399, 276463518, 441798092, 983181941, 505813066, 837788451, 71766347, 55990612, 331508151, 568269286, 819008578, 886544091, 536183120, 529555134, 366992314, 1042071697, 639245529, 122932551, 909290497, 664793816, 158455953, 779135613, 279737350, 908467763, 220186619, 852767246, 351526166, 364240341, 824141692, 284068951, 84937001, 771807861, 904557828, 369924393, 115663118, 304246884, 306613378, 248789730, 150876360, 871052775, 333835595, 921478112, 448160933, 978602937, 713221900, 818700307, 119622456, 704121174, 165533821, 547152727, 751505881, 426898220, 984259537, 165174093, 123034331, 928910072, 400004881, 782748772, 110914190, 229603932, 542963612, 828837931, 958538889, 893962902, 914331009, 138657084, 335499920, 478963343, 457992598, 723103088, 536238757, 904811302, 973564545, 251318762, 213180830, 900499172, 260117402, 573797797, 463740390, 695878031, 882477612, 277435779, 529931378, 937832454, 755823078, 988870895, 584413054, 278365124, 1048378892, 12346954, 765763138, 585231644, 469605351, 836737925, 226655419, 106219242, 337029719, 549977462, 259575757, 866094730, 330667347, 991918642, 653416527, 708152429, 810527221, 720986911, 869388832, 598305421, 277177151, 872858504, 823719185, 87241496, 763037632, 454395808, 754204580, 296575897, 379125572, 162900590, 398974913, 301106582, 431256500, 220675930, 262407192, 95331874, 963096892, 414860652, 657698264, 477730035, 23240557, 975935762, 408951609, 321325330, 650504487, 345332320, 503876046, 569904817, 757038460, 135053880, 146211993, 933859654, 142620168, 933390724, 667237364, 795065165, 176070085, 330963531, 377680919, 379297354, 348056740, 514865156, 508056594, 305929038, 1015099284, 425292095, 840676423, 687245272, 609330628, 875049771, 533249219, 161540034, 90396658, 710968278, 169671601, 187556533, 517072422, 564435400, 659156561, 1028696457, 979862158, 4188659, 615836780, 542144736, 165567345, 456658617, 223645660, 1006429587, 935185504, 1008694672, 201974886, 813366709, 654829043, 786738941, 505060645, 1014853200, 808156863, 416603848, 969095740, 296844590, 454974109, 774265072, 885987002, 990543771, 743716767, 982815443, 747195625, 743149899, 219688971, 493065984, 756197917, 979157358, 917425623, 754192406, 499127684, 952318344, 710380583, 364003925, 167107362, 882990636, 69609281, 478023191, 1046407159, 78786447, 29977240, 796445309, 932509141, 946932334, 280307228, 192803480, 758055840, 385674253, 818620132, 63169918, 136388331, 550839832, 715716954, 1072854565, 812866993, 626982090, 974162699, 650130438, 460876330, 679740018, 491570909, 66070694, 373338330, 237184811, 374645340, 517449552, 490391240, 968629198, 534402926, 660546426, 901117437, 739140521, 828022207, 846666288, 418897532, 953159228, 226017874, 614117175, 390898216, 390848654, 651925316, 318020123, 1017913900, 73926101, 426705609, 419791787, 644603817, 699244895, 848668647, 587685765, 348380738, 428953278, 632967897, 345989791, 218841184, 302428949, 453166582, 710754419, 107426265, 240418859, 403052209, 21592385, 731348477, 632394005, 312098120, 53550633, 437465430, 98454765, 216920441, 627020190, 877091946, 418728512, 262525361, 138193667, 997751184, 34170460, 500709630, 597331696, 1027485168, 533232963, 464325028, 562840746, 1064792886, 362262520, 576825435, 761459547, 731506913, 404311124, 79985435, 950131292, 843966184, 1047965669, 589141730, 406051988, 687979570, 818019571, 130899907, 807480677, 709080976, 201051539, 197753820, 676810805, 402938082, 752237542, 512870019, 992039956, 278045616, 371201225, 719902980, 726608114, 630429613, 26179887, 789670179, 828547865, 295389648, 961443423, 70887597, 667078546, 499435081, 978784941, 346509149, 861247981, 975631529, 279245926, 72401490, 516348599, 423120190, 862313773, 271671219, 878689331, 911145502, 740562121, 831084562, 1003805400, 594736899, 198027089, 616590854, 945164779, 423493552, 353916029, 237629869, 980670762, 1033869467, 63355484, 614113922, 588364784, 266762139, 647736341, 785712150, 32833825, 910301558, 693857287, 947880498, 96550284, 188258789, 163685472, 861218174, 897477806, 474445336, 323958938, 334783379, 659727699, 955926359, 714321935, 923877529, 549138671, 404472278, 337146088, 57226519, 169487249, 244103044, 353871270, 372981034, 669230314, 783702421, 876890459, 385218521, 974349827, 978464478, 961121652, 283606105, 755749069, 1034034694, 614820890, 608727330, 1038494104, 366132558, 514114511, 923035120, 308523007, 602094291, 902161782, 359208209, 93296349, 459143677, 517628630, 740556711, 641136301, 857246077, 16617698, 776626100, 1011847640, 252856867, 465284586, 66021504, 200872795, 84235982, 833359817, 959967908, 888452801, 583793808, 1060011768, 708244137, 390702479, 957480783, 604559875, 633932765, 910718515, 9353084, 261369373, 499240979, 282839744, 1052563178, 797084741, 277931634, 416817427, 423110995, 720004157, 637343678, 997652151, 774293784, 227907759, 972683877, 294159858, 1013750924, 663396625, 1003395122, 90845467, 576588478, 699063244, 772103861, 1034790101, 124071973, 553726197, 186848464, 726909970, 849474941, 837947903, 494061478, 430411553, 488371156, 345112480, 181659795, 353462419, 66677403, 457207470, 68068501, 727322487, 575176583, 639140112, 316854702, 291012586, 491420804, 701300621, 965032448, 327041863, 1023253643, 101673824, 364275364, 71978628, 194316838, 96572849, 589992272, 932126006, 445544678, 211575555, 10106608, 472790932, 284747490, 456213086, 823507574, 1029381338, 981933665, 264205097, 353139397, 72592628, 447096154, 249876890, 150153758, 29482820, 613561266, 392693906, 1053438524, 510984685, 285492146, 428015322, 752132535, 105306770, 635727822, 781663670, 617654259, 32874131, 74832192, 473899632, 406154345, 134887992, 732982655, 951496453, 322267924, 538417202, 434445453, 1009451348, 926891852, 428903190, 944140866, 35231179, 1046544714, 41419456, 957999125, 662367064, 168492277, 93004785, 169521025, 31703024, 444002372, 213457963, 377434223, 933919231, 599088350, 997880852, 173961334, 182130300, 431418233, 1003082356, 927354739, 526057430, 796667815, 162814953, 102766662, 623078801, 700678715, 846352126, 974077307, 102485337, 792924518, 984515558, 291939893, 480252733, 415551371, 151732099, 504413771, 95489595, 100067352, 432196215, 45970803, 572109573, 715873257, 528088197, 956298524, 583512512, 904587533, 121313019, 949219222, 894371036, 955219659, 21384882, 392970918, 408168587, 1056019342, 630530791, 700857951, 23602173, 475167884, 720421774, 578604401, 99607155, 473066996, 751637982, 431331057, 15039244, 38764978, 930728964, 767101314, 791119067, 906961394, 68433910, 585394439, 1042486630, 385815176, 971280757, 965572480, 871847196, 445606146, 40501034, 706490388, 544144694, 334515511, 771520749, 942304469, 543502881, 1001461346, 776007889, 166275519, 989299973, 948440199, 649766879, 437947349, 207763047, 245705341, 504676529, 213538173, 211553918, 214394476, 203775853, 111073846, 1038092560, 724185380, 183214150, 93596334, 994553188, 948112815, 926568818, 686962689, 624399792, 858945883, 400628696, 312584453, 69647403, 483010590, 270580730, 419702761, 624439641, 209290159, 794368057, 550139081, 870993800, 952190164, 428292989, 204052024, 709465258, 453860042, 90298239, 368533645, 861173408, 242447372, 587921179, 745476189, 692092534, 559305295, 393570465, 977851805, 437610755, 908283977, 638196341, 1950910, 917333080, 64498834, 847065615, 675946155, 180707743, 863677827, 779441337, 74918908, 665407672, 236298049, 396448530, 317460880, 806688848, 408732971, 48990605, 46698321, 295258573, 440515180, 661055633, 115045527, 684085528, 257139036, 79551394, 997129157, 702585076, 286005575, 518451848, 734735693, 486084817, 879108615, 953676621, 650749336, 609950084, 1044793, 60102776, 709723665, 136035374, 95241758, 318054706, 685676127, 548737280, 9336457, 121779165, 913173701, 204410651, 1033111410, 987890570, 571242718, 292917275, 1023000330, 678037873, 47934400, 65331742, 100831089, 622293274, 611016728, 113457861, 725030, 445845618, 594518284, 627890145, 950581865, 304387027, 872450468, 472061606, 1045881861, 120348042, 397836878, 176247511, 825717374, 828604328, 431249770, 984159227, 648183221, 538111241, 903108008, 924302777, 147889569, 376598945, 332996805, 106708469, 733006889, 261511552, 307099340, 552236601, 254276683, 319657530, 345176396, 1030237170, 794125496, 1054905423, 358904594, 564787980, 1012389910, 801612206, 279604157, 506315320, 757381552, 560614814, 676463083, 741986488, 187737864, 238873897, 253417914, 70676147, 880278347, 898804877, 711779793, 512736631, 383151493, 927195725, 499503413, 807204574, 769082901, 485475940, 96171887, 51862521, 1019426509, 45668090, 53159120, 232429182, 568001807, 481275292, 579295859, 149141843, 663263258, 493745829, 470741576, 573415575, 735944943, 208128894, 624900688, 166440856, 376906152, 51780486, 404523625, 1025934463, 151007307, 310738599, 579665810, 442579791, 972667437, 171285058, 377391600, 154833605, 1019332114, 484060787, 713896099, 821887039, 105732793, 452952519, 838663578, 157952890, 690521034, 830843498, 832550703, 768342991, 811719412, 582988106, 689171670, 962473822, 975458242, 789433384, 649365641, 127932598, 862348773, 63670795, 1050188074, 510341358, 73810867, 267323236, 971076862, 858707792, 604513113, 208536398, 688724574, 31282812, 787439289, 836654985, 103363340, 670084010, 795251792, 672683842, 748494488, 585785576, 2817200, 73646641, 151318776, 131789939, 346137231, 1009327058, 704859884, 1061211629, 859751651, 629773035, 208035562, 518909374, 500441680, 563956470, 680562205, 779134811, 480717628, 34367398, 66099167, 713554778, 147011692, 559861816, 246589369, 426879819, 633254908, 764263121, 776966005, 904242402, 1058760421, 100331829, 1042066113, 547965207, 892740183, 749838544, 823668983, 156759932, 527375853, 924516547, 996469530, 1020640970, 520618105, 890008488, 659911156, 485294268, 1072599457, 787104504, 98179588, 542503626, 73505795, 722453091, 700338038, 284027465, 365552864, 92686670, 405604571, 36072194, 120255118, 444723024, 352343385, 157157588, 118874840, 952106370, 246654402, 408211308, 292728123, 357266852, 406818165, 35393792, 913944600, 414838327, 631880131, 670112273, 207273069, 384529016, 749814066, 748958455, 15957058, 826866606, 69954654, 666310201, 105024446, 105970597, 1030797755, 156821364, 875080844, 968042960, 897363393, 194220950, 737121726, 524679367, 276856513, 61286443, 164096122, 222660322, 108392680, 551447396, 935554907, 692938716, 537409228, 739299761, 335658094, 34615536, 141403812, 205382145, 1004647154, 1071172393, 445340630, 511778599, 830745128, 272091326, 188578921, 217712445, 84482952, 1022183193, 250040984, 308478683, 547432714, 622937053, 709275247, 32554751, 251387859, 504767886, 113789299, 118713038, 1006299868, 442121698, 445329001, 742329895, 759571859, 673117078, 265209341, 696745232, 473732365, 927845755, 221522356, 824093634, 311590771, 1024146487, 896887763, 350507239, 614143475, 894633414, 224931393, 331511953, 723693255, 34702342, 714537625, 585982944, 292011782, 542494723, 765400644, 130166991, 877549979, 848051961, 719930802, 694316842, 880586172, 563967729, 967259899, 1040995609, 771272620, 834440529, 657545107, 974568115, 417661836, 601659924, 489550677, 629472194, 739315730, 417745658, 634504334, 283492403, 676928918, 817404663, 210508955, 229911970, 211596375, 657385206, 289704790, 307979893, 266064054, 285193912, 365457371, 672700344, 874906374, 604097933, 389257530, 1067216995, 75188083, 327759838, 532433619, 625693403, 581657739, 273993166, 617751189, 36708307, 85307947, 867405573, 434712632, 792962879, 919250703, 696809197, 8713250, 970694759, 264571978, 662140201, 69762721, 275619205, 933068565, 146485348, 787234593, 192300021, 153202931, 251620087, 526825226, 359586383, 1043696968, 809204824, 167871320, 124819379, 298120948, 137261483, 541335849, 637282251, 631615223, 613765983, 358062721, 279889788, 232962270, 814945071, 878276555, 796727531, 43048313, 905564237, 1046811442, 716427113, 903267585, 227442522, 401866452, 872252146, 931210726, 954782274, 366227524, 355082039, 332799674, 291641314, 22223083, 995810588, 591645801, 774980456, 378481567, 903293782, 493818307, 823979610, 64600472, 405163680, 112077700, 95557050, 1071510972, 214722919, 320250120, 52444010, 565642533, 651195913, 828309797, 7183624, 448210456, 189131001, 173762672, 1020161640, 970047896, 225958111, 1036112055, 957228628, 587664103, 695607197, 377790134, 161869187, 79337993, 437446893, 62682179, 201959257, 883758906, 66654914, 1070286054, 404471220, 290551810, 1752320, 814902506, 708208313, 590736121, 660301002, 232981978, 332582820, 822960447, 141148603, 874599817, 644942298, 115321475, 677735899, 574421655, 116337118, 82923224, 722100476, 61447776, 123075275, 498778959, 842730030, 556565039, 506835091, 44885332, 594946503, 1064761297, 549460002, 547224947, 407841680, 736239162, 595836369, 33501486, 293358618, 277292358, 850162014, 959250346, 307262098, 957549310, 660497130, 613270211, 892194383, 564432951, 615950620, 393738789, 866283291, 717295766, 987199665, 488984382, 40520539, 78407314, 289466201, 1008848943, 427868919, 816838854, 764141039, 735718091, 814637413, 212560182, 869454199, 748228443, 249120568, 363504426, 326079796, 549143657, 682138360, 764761704, 930946019, 988209029, 520593579, 661765064, 439514453, 881218726, 775775433, 355021996, 337696977, 979806990, 913622126, 874613674, 617799042, 715833121, 1036109043, 378612682, 117935226, 375332160, 48668189, 74538631, 988365487, 299264879, 615191888, 301636505, 644077759, 764219130, 781247397, 927922317, 85914722, 193428669, 371736780, 632411206, 562233534, 72934002, 714910734, 838201529, 54327616, 350170224, 79519444, 487266547, 554711393, 669573928, 115882405, 826962676, 913500657, 794648838, 338608102, 427660403, 70824074, 127678529, 667065171, 628630793, 820778814, 177031090, 1057477236, 795150320, 928171034, 934787047, 756793105, 439181282, 1054550552, 640315432, 739348574, 297145336, 935386753, 518707815, 13632759, 329161449, 846896174, 691963182, 907060956, 515793863, 543132424, 937992536, 1059507224, 200938078, 792850101, 580215861, 66919626, 478971186, 137300048, 916304152, 462854234, 414278125, 602981184, 607390381, 574747616, 850597771, 122213518, 99827915, 387489548, 806078469, 524006267, 818527462, 609407612, 270385988, 39618914, 548642109, 173057170, 348314756, 18044574, 190759280, 685989346, 603618515, 87864703, 289471164, 510017852, 859680220, 952470787, 473683945, 620628453, 348218121, 435434029, 420025616, 468548738, 74488489, 971065680, 768061082, 240769727, 204292603, 890384131, 952872708, 587937926, 1039415922, 992137551, 164499323, 853664621, 206098229, 861132481, 232259150, 875518105, 751283375, 1006227940, 848931173, 780708545, 434703486, 294842965, 673425006, 134268829, 672544111, 626782932, 757477438, 421378268, 415914897, 1058802807, 349154989, 749780321, 238630238, 710870030, 1037716814, 160311516, 1020580642, 125495365, 380862433, 819527516, 193297997, 942785453, 21590494, 615116927, 330505318, 622056630, 639816753, 19865789, 153927681, 565009072, 424824833, 393018175, 297977530, 413282903, 469230009, 366099896, 291205738, 630710096, 413959017, 1003904077, 372229192, 833644530, 475732770, 803152145, 43387333, 194865628, 982447574, 1052286049, 1004941062, 47636656, 825764753, 899323819, 559982264, 971837728, 614487804, 205956448, 463056031, 622424289, 555909307, 276125426, 380646680, 83636550, 534089513, 509630775, 678281118, 833866943, 74557869, 688686058, 545533919, 491239475, 156996137, 371855591, 596861397, 947929681, 1063641923, 481061879, 128316932, 609111587, 317738084, 585774863, 612491330, 670858582, 316290197, 472608716, 509373918, 945869631, 1063939431, 886798764, 295428293, 752354570, 804359525, 726389707, 949772563, 24491339, 847229217, 648898083, 400081898, 36868733, 592313368, 590673358, 269383013, 103605609, 588004988, 16671715, 977173981, 733624579, 577655097, 623530551, 130567723, 303099206, 1026277362, 706372730, 706432202, 242256021, 249786254, 712940216, 219406573, 82286546, 809611108, 9788794, 642039190, 553134911, 21251908, 239096040, 395174964, 29767071, 60881241, 294311308, 189626516, 21917281, 72141668, 188051525, 223202279, 27052254, 629389340, 1036139540, 583141390, 897295831, 815157352, 161959884, 176706708, 750841506, 768781267, 738399565, 165775671, 76132116, 864326736, 784711307, 640157686, 903574354, 415632240, 281952963, 606630659, 41608343, 50196829, 215423366, 793455353, 702100695, 346231397, 727059843, 872066165, 293128233, 10807515, 1058339240, 432472639, 1071812207, 72062396, 194545865, 546368143, 835135404, 234164632, 894189488, 179810151, 504108172, 386162965, 87652233, 376594786, 712599586, 858721232, 746074869, 909112599, 451085052, 677695053, 712588414, 820818459, 520512285, 784308534, 741476937, 585523338, 977817490, 1019044577, 67081153, 623135067, 773910006, 502799558, 615962422, 844982785, 217126853, 155334817, 200012006, 899199840, 720425983, 402584401, 859904855, 128113886, 1049323688, 853291985, 755727715, 289137012, 711814838, 1031531730, 115562350, 54577603, 614739724, 223243748, 182326383, 950380553, 734683653, 796115879, 837995073, 177958879, 137355536, 742308688, 138466961, 887844093, 564270752, 1008979411, 232969796, 725829560, 382692681, 270318214, 109059914, 362298689, 410526353, 433584170, 47139650, 36028120, 970942002, 599879099, 380326074, 755966234, 94327813, 812688948, 78438768, 618648939, 528989027, 982137927, 459361907, 938391530, 62917050, 104153593, 346063936, 282866887, 146530362, 624642848, 217356034, 1009071653, 686904503, 273057250, 966620734, 682683413, 861877137, 925499239, 252478797, 866540116, 958038983, 815842723, 862762539, 903838505, 887509829, 936995772, 651950577, 152658319, 354302865, 264221398, 342907609, 576657120, 354959794, 669419187, 901681706, 775248214, 1040362267, 171708353, 577338706, 6028557, 265954007, 635647233, 500104739, 120743208, 839674171, 294796014, 50113176, 919804103, 664933747, 861974, 801030722, 252880982, 1058679708, 750759784, 458255407, 87369583, 1058268032, 299410280, 414882665, 569305536, 15183641, 801598332, 661835157, 84186392, 251919458, 1038530275, 375145290, 344540091, 848037389, 761655506, 951330957, 682997414, 641815395, 242343565, 270980764, 363678899, 1072614808, 559318210, 438673287, 1052423413, 924062513, 697161086, 891021710, 214158200, 799142836, 893568537, 503014380, 135035777, 878986089, 366922841, 949002608, 721491449, 912086178, 691806589, 582193027, 4267419, 631920451, 582751925, 498573093, 192214135, 837525653, 35623005, 28646414, 1066679513, 565308695, 83838486, 383825574, 417288472, 429167786, 1012178044, 952800150, 8534347, 861719345, 1013253255, 239745750, 148105119, 532213707, 520967419, 416907266, 1052152914, 740162791, 894377065, 1008754460, 692218120, 1067025029, 419034572, 895169854, 20538072, 431866382, 972105859, 372766556, 200687343, 716504218, 107078194, 507004689, 700395496, 547027240, 170163671, 489327124, 986103986, 893968949, 181614149, 100035986, 358129334, 926365518, 346139097, 327124566, 1050989290, 199875803, 979970963, 764440406, 332559229, 483140263, 953754589, 378484389, 284910156, 337029122, 642002073, 514958470, 1004769273, 169237198, 580319982, 437161427, 1033726391, 114555711, 770413278, 279521361, 145076702, 831070071, 704210462, 983624804, 186402720, 619247687, 891517869, 112962412, 761392269, 391154925, 58439746, 290729646, 908325734, 210003702, 1056552649, 574453124, 308368158, 510735221, 353680626, 1046202872, 1016554912, 304841354, 315215152, 660776031, 722386263, 54945296, 364532953, 15034311, 587471318, 626561486, 101222011, 1013568526, 233530195, 802514418, 890947211, 61275014, 317806023, 1071719506, 732770547, 342315105, 1031374001, 519789878, 799819723, 853338610, 267762672, 1065677948, 950480677, 861744434, 153293198, 770641819, 20281164, 847544625, 387606626, 203183264, 1034178541, 984226366, 442700567, 121622462, 215372328, 947187961, 178686637, 904071160, 449622778, 743231658, 57746791, 634222767, 241571493, 585158951, 39328253, 59143068, 544863346, 111859850, 374625969, 781281875, 519246454, 1002717992, 515617298, 798546220, 923825099, 627302255, 451560483, 26881578, 763844165, 109949142, 438990237, 9101536, 808211735, 199786433, 514424881, 69613394, 938561830, 822153975, 500160110, 354906023, 913173638, 111238786, 718501716, 305109915, 923011070, 542207821, 809420582, 628783533, 332524444, 378393617, 250659188, 811776872, 792782647, 756940255, 1018681859, 522449242, 131149732, 474346579, 715301223, 584422940, 714266212, 649454322, 274223672, 187752005, 362286372, 668050725, 952569671, 792328952, 665487606, 464950976, 482813879, 438561127, 15177968, 98659748, 206599231, 469721852, 754781828, 117513251, 171866704, 937343726, 326074410, 845155945, 368137461, 313019355, 789565869, 462629144, 595752480, 161290264, 140514781, 93527702, 835905619, 219538844, 534571643, 829353269, 408706641, 931342493, 486709848, 357893908, 147872652, 895395307, 784206904, 285787494, 1071968634, 33741935, 1069757621, 138719033, 1066862837, 884402858, 182533461, 262972372, 995259958, 627220019, 909343630, 681652847, 1028565290, 977160815, 250556548, 292698270, 890541147, 220796901, 949536916, 111304078, 489366518, 51676202, 304983379, 11381323, 386048250, 376772097, 865498823, 751367216, 767764551, 32047133, 692269060, 571436917, 555005685, 777217666, 831427252, 755574770, 595421666, 774004502, 253347671, 192505884, 814936862, 63056879, 640768881, 746540497, 156801659, 920168227, 721047183, 482820854, 994839219, 522008335, 452834262, 67603079, 977588278, 65056553, 145846682, 623222377, 666441404, 102242579, 753237935, 192295871, 289857039, 62007134, 391444318, 598307400, 183864677, 582897847, 280668186, 510196414, 682435294, 313392376, 949714307, 803811428, 330672461, 700649270, 300392010, 512037130, 262341442, 172305199, 406565153, 1034090189, 400798009, 49333457, 80713293, 595641710, 704511918, 1047679256, 174627448, 502730942, 245515369, 21219186, 736929141, 796534472, 437003231, 337981908, 476197799, 938623355, 804419398, 602027144, 237000869, 944640005, 916947710, 868368449, 14494019, 457894827, 153234598, 677736762, 974989820, 294531672, 481903040, 9322032, 542480208, 288141580, 2680349, 277304939, 45485791, 643048723, 435637408, 445809393, 975822157, 599860477, 931571861, 436082538, 962729952, 443398181, 803213672, 177501900, 743409598, 807922610, 233877525, 766088516, 605884077, 591434780, 979940326, 392408896, 676876568, 1063505092, 823345740, 532637679, 823906621, 143243376, 659408327, 589543597, 661823028, 509186825, 918460433, 306995941, 833734834, 1045416497, 894484358, 992019353, 258928951, 464659134, 165508080, 918628752, 771688283, 315007033, 724338189, 659787546, 785470479, 815620571, 126642295, 217423609, 666874020, 139502936, 355929230, 1025774583, 761447877, 337685763, 828280945, 790591914, 524969227, 365771072, 879440648, 760417900, 209124575, 350224072, 265295377, 48476897, 411472934, 945990135, 917536234, 98624862, 389886181, 597486038, 551400885, 24281691, 423480122, 322568450, 968010285, 138565027, 716070930, 425518303, 459878967, 393139901, 11849631, 827695836, 386189839, 108761112, 137095511, 500829305, 547792434, 574400411, 545180956, 1064119661, 762052955, 1041092903, 808987463, 803302666, 477069323, 907528867, 708905484, 224665037, 569914822, 96567976, 36290929, 717378471, 258138280, 981865253, 739326272, 968057059, 661026114, 628194229, 229672846, 485057908, 826321532, 983414368, 12869333, 891409583, 372567556, 215925258, 627349014, 631689642, 614283713, 950784917, 613836872, 1053576741, 1066735531, 43219048, 272437585, 456304422, 297361851, 1049404510, 693714248, 756649969, 714709530, 599917200, 888433398, 312855909, 194550556, 947643584, 725445762, 76429984, 343618183, 147673588, 447756217, 442585416, 467544106, 770884919, 427897662, 1005334415, 318582670, 540025381, 639723946, 838840174, 872626942, 762454265, 1024936188, 454023293, 956342893, 609219225, 619826941, 175415287, 149052433, 554298336, 742755113, 959586820, 303663131, 894331119, 832510681, 313532678, 105965586, 1007195080, 793301353, 898030520, 134470589, 658654325, 653988777, 911375018, 1017594097, 214097673, 258078584, 272172366, 241138790, 4865665, 335373230, 596666139, 501178300, 115972881, 472369845, 769567409, 178823820, 1002043757, 863673082, 149651512, 348579389, 273878282, 190124137, 750885595, 438883157, 1058751171, 838833355, 389506984, 340642967, 580644534, 762700435, 736610306, 831289318, 381168056, 802422030, 750100406, 394503702, 656557450, 1047756836, 374576306, 221020899, 236872401, 388890397, 7208644, 771150753, 390004155, 229611172, 490800721, 118601013, 405012156, 220912428, 899447855, 684548907, 151799715, 866227261, 606956461, 406364980, 536614905, 143077465, 439547311, 7098045, 188728886, 383505866, 570005532, 251499624, 863324440, 654177905, 241316047, 1031914725, 518475211, 793399204, 836675465, 775672448, 1011167097, 830540326, 174356770, 94442493, 616864524, 406055253, 149985959, 317618445, 423049033, 920123070, 379586502, 560769839, 347272249, 611827182, 466663305, 614440501, 79564008, 218653255, 775105997, 283004810, 631735992, 429518400, 1062114271, 387230242, 300935065, 1006235383, 709876889, 547650152, 1013941307, 743916229, 967581723, 181325076, 1069932688, 979057279, 821291506, 226566407, 945961976, 645581037, 711333263, 791509480, 97667990, 412897178, 784969593, 570590017, 700370001, 264086990, 421068382, 425790393, 508459574, 473045683, 786108190, 143070159, 193351796, 835390049, 911213840, 630666016, 730974375, 755533141, 569187715, 535471025, 624640324, 455160072, 264760449, 581510014, 167997638, 315689541, 175987162, 1023448826, 969038532, 101257976, 688579150, 295445219, 439564751, 873356797, 752341949, 30120587, 150126778, 307031218, 563491653, 1058015847, 671120462, 98165953, 877493834, 63360063, 604713914, 141638659, 1061717569, 343898985, 772503801, 643512902, 854960602, 792501237, 436942013, 626339315, 312629857, 623054697, 1048147487, 175048512, 907455932, 875935370, 560316164, 353551364, 1009142830, 713877561, 995627462, 681463331, 420557511, 90418700, 188544018, 797087901, 382725523, 1064089929, 154493784, 501013273, 270191204, 502847028, 811601082, 27015549, 164061227, 81441560, 381438657, 154469416, 201201471, 1009672933, 267825682, 453992359, 104460663, 121550519, 266479470, 678235727, 252290598, 451951558, 51353724, 875934348, 16192831, 820026191, 75386337, 903555132, 744772996, 450818335, 566137350, 154116720, 929911193, 435176155, 234556326, 849866512, 24596409, 518107321, 129257010, 202719403, 392362654, 215409314, 331363508, 423930994, 909930599, 1031628746, 84444003, 962833652, 1009785570, 1071091321, 323615643, 709669541, 140865199, 672426051, 1068944982, 536149864, 794546514, 9068485, 133045259, 320678253, 990592983, 840476375, 443270779, 178624735, 665635386, 906779606, 799749986, 104521295, 798079099, 54267728, 1064275057, 420472054, 610634710, 444435463, 292734763, 1020741321, 447024108, 329871571, 228014916, 25941941, 672250180, 87154919, 288798550, 291609573, 400513248, 917847999, 483500821, 740085372, 985406188, 652151441, 885503519, 956525679, 359905489, 717234928, 294340666, 35191694, 536878510, 1022176505, 870326870, 118980140, 783468434, 480992956, 163963680, 776301781, 558632075, 799597530, 680143734, 602088284, 1069423072, 960905948, 692052584, 1017310723, 641162025, 536029572, 796187915, 264626921, 270702637, 820028899, 1007378863, 669949431, 322547178, 894259390, 635378479, 252757888, 827600636, 134264160, 400831709, 274718260, 305696139, 480406506, 1061778974, 934127492, 514745565, 958642480, 197215645, 65498174, 712436055, 719805933, 69099684, 901227315, 1546823, 270886449, 265516683, 163812134, 848713597, 638009150, 268915848, 859853444, 475438425, 349212021, 226174486, 392123042, 603012139, 619837424, 774591798, 949013436, 16818992, 669821943, 592890144, 265322982, 417077376, 1023857951, 17575142, 118048271, 533011952, 565735832, 492225036, 173544316, 724211706, 486985137, 293742512, 316559266, 425007132, 752337416, 405541438, 897602021, 617746189, 930288513, 429780652, 991117680, 42189826, 482028440, 1024634796, 875218508, 617204009, 473169640, 889823336, 680274752, 841147564, 507801999, 384408944, 77645177, 518101082, 20199211, 1028720267, 495008591, 667440813, 20990228, 926793862, 94327508, 105042174, 41105931, 347089380, 584825900, 281989202, 924349939, 151290223, 456580094, 932198023, 58316200, 361965207, 657370200, 124012582, 1044379182, 969950079, 533164694, 1001409107, 878249543, 478396356, 966462844, 763697893, 782317016, 750666492, 581975915, 38655122, 774758148, 539757380, 151928972, 479156436, 743878028, 268296554, 512687523, 20870823, 421809956, 888652673, 771137774, 291597157, 666241717, 69717409, 452711115, 558642305, 355577113, 67940262, 848001704, 696069578, 154429501, 491845536, 971226699, 200323745, 563927743, 792362453, 577666607, 91787152, 814818975, 931406204, 97112416, 689233421, 507558279, 229795468, 428340994, 10380799, 668011443, 1000496220, 697109619, 556533640, 100221097, 1063006977, 19137310, 492926411, 586340064, 740946843, 483601537, 18183163, 575630808, 106534790, 186699159, 563669376, 784531233, 954190445, 1047581034, 72621519, 180456955, 217684507, 595575839, 714193705, 359897924, 690049977, 868166717, 572024629, 363966057, 916292803, 374999705, 1391583, 244489547, 793993325, 782644279, 994945000, 126422210, 567665932, 782100563, 13258757, 58077764, 172438975, 1003576186, 960465396, 48235294, 113656481, 793686371, 72401912, 482572168, 583160940, 380553214, 15988822, 459575440, 550021340, 716356045, 239242412, 667846246, 138322820, 418031234, 400751745, 1042975145, 715344622, 488152725, 180665918, 349004842, 933836640, 611868420, 555811062, 980114552, 813681776, 992571519, 765979440, 815361436, 560493472, 39368400, 792442232, 16090073, 848412129, 200310864, 421449633, 444220635, 890901316, 1054886216, 989810128, 63897995, 460412590, 897087566, 434241553, 11573388, 1043104933, 397642426, 682990285, 841308766, 1069660634, 744287250, 895718550, 917605726, 212349619, 75923799, 626899538, 516489581, 637477004, 875508305, 290950660, 502417895, 588812038, 166418755, 120310336, 328957596, 437435379, 1018612048, 144803024, 1032164101, 325873668, 500188678, 127181225, 686274275, 865039149, 304102196, 891568529, 146959266, 762216094, 350944023, 622407891, 511520039, 467412742, 230278343, 403584715, 513975528, 1044667314, 287367603, 575071370, 77142613, 133498353, 229403215, 883374887, 231415530, 185310537, 645829897, 636994690, 990638463, 80451863, 240136548, 479341109, 965755328, 779093769, 806081038, 103424294, 169033171, 620434720, 11490890, 359899179, 581986850, 130495779, 206631897, 835560415, 635709308, 147964323, 1009440438, 860078020, 496524015, 751683797, 763659037, 655956550, 632209590, 173237894, 275309393, 778213545, 991320597, 583878648, 954391572, 31007390, 451318037, 566141055, 158219534, 996489387, 855163650, 661236457, 307245523, 430137608, 890534154, 956222192, 1041840935, 767655222, 662176281, 347279805, 650305147, 855556000, 943419650, 535321741, 728359773, 1022719632, 31207279, 709087379, 229769819, 142876342, 356681050, 197632231, 174912913, 138565985, 142259058, 804273248, 240126106, 228232135, 371264623, 1044851198, 510902582, 594751405, 583969367, 664207992, 190012054, 774798846, 417533232, 245412978, 27417844, 651345434, 527501318, 388857455, 9345751, 642012388, 637571387, 528010007, 714789166, 1018934402, 368348014, 395553179, 636289999, 782225373, 111475796, 72849024, 619573670, 29829510, 181553330, 658304317, 619736033, 779553734, 703883872, 246724558, 716294290, 1024192487, 617899981, 915016795, 306924437, 407640811, 259630725, 413029116, 723215674, 195427559, 140042141, 771245056, 358335572, 736510083, 209968099, 399461121, 91458966, 901650410, 15845863, 390154033, 750747486, 431178164, 13560840, 848984869, 1053122362, 1015687757, 327380788, 473568759, 879466433, 30140411, 431695828, 124469486, 10376417, 949259964, 956444634, 158557606, 798706403, 432757530, 1073331609, 769435749, 101524881, 271704041, 307036012, 736832458, 756929187, 401624417, 320962345, 734709697, 891143762, 611511973, 150675528, 862626039, 189729619, 779239889, 997740865, 91725786, 913315010, 348857499, 813502048, 772316443, 1062708842, 448568455, 401522246, 722109901, 344006644, 95307097, 102072406, 372363163, 224813943, 112243150, 144827783, 96713106, 305866515, 940136411, 621925825, 695509943, 494341371, 603652661, 152270226, 474668896, 183120778, 1001579719, 770565231, 472635889, 210472191, 421999164, 750729599, 936229056, 1061214241, 752962599, 296922388, 942589005, 171775078, 401251719, 693289463, 913793498, 31983691, 479130310, 414326339, 825244269, 275742101, 1010529875, 1065634684, 735146318, 271524326, 941322581, 577961446, 1003358515, 261779299, 656105656, 1067822287, 786718258, 112374189, 177757440, 549130451, 585677838, 575869125, 406282244, 864739131, 357717436, 384029495, 812097288, 182512812, 729097370, 718455372, 740413905, 169786300, 246294128, 433419939, 396074004, 662555069, 41545406, 115535339, 581116558, 827731562, 843918657, 809982163, 377881956, 353538582, 201618539, 622387987, 60057783, 505632847, 16056348, 1050646891, 945046737, 768407422, 171191295, 95684148, 186290982, 799313976, 364122142, 501868339, 797919715, 423250968, 577712879, 723993709, 573219328, 54612643, 780475883, 520329714, 929738981, 596533119, 768166938, 1044222041, 106020064, 1033276563, 377490951, 1045203093, 999883130, 628225604, 373101951, 688970221, 606929664, 227978315, 333699206, 400721598, 982996683, 323768114, 894648088, 83570810, 703724120, 991526522, 724573227, 169091821, 66196618, 553388064, 691429207, 875050420, 590180544, 819515112, 724921028, 824918009, 874853818, 770460177, 939665233, 855716813, 232725344, 333860435, 266910548, 241168462, 260363754, 695299667, 839650837, 468110147, 664219710, 294275568, 114057957, 386257514, 196802451, 134595484, 156510067, 868828628, 1012377374, 654752663, 337007413, 574125318, 749642239, 382779902, 18870587, 744928357, 224909778, 959453253, 385269107, 536812532, 619401329, 542376150, 245707184, 260817964, 731392924, 524081263, 155534102, 1022489990, 65919673, 894950065, 231020929, 15741587, 834615314, 7119078, 245560081, 110213284, 807875802, 131713687, 229423853, 631736446, 121940250, 919186463, 441769280, 900551067, 164093233, 443673512, 25194487, 900496935, 665157466, 1002781875, 1031623935, 981629442, 449284118, 701281471, 897440527, 332380017, 268830084, 604720216, 734086546, 493470852, 287654313, 97706542, 16353781, 9808434, 109536291, 22541366, 788759154, 1068822790, 1020291952, 401338525, 788155450, 927051427, 984106638, 45510416, 355153601, 159548268, 1014549841, 438880806, 643111636, 600727631, 234286784, 147997410, 688265033, 977413590, 194237116, 401818204, 225441273, 793975675, 755320335, 654597756, 1013809318, 392773822, 155528175, 554365319, 310462273, 383409742, 883974728, 30526394, 561306679, 257715194, 380834592, 456046603, 894449556, 85969293, 702394127, 356717343, 89529123, 596483157, 949676818, 432252815, 646475433, 34465518, 318733577, 411994176, 934952606, 137979720, 479557051, 149592653, 889328095, 439432853, 568610937, 905495221, 131138411, 549115328, 757970839, 51973082, 617341325, 807962924, 241919616, 793319001, 304823840, 966764283, 598838811, 172100346, 861693996, 622784039, 284085030, 642092120, 88500277, 398012630, 527971369, 818574483, 707460071, 701939805, 834757837, 239437009, 14256492, 779815504, 856611395, 863338655, 743483738, 805638504, 839108195, 982735046, 607769400, 379343913, 23264363, 376437711, 591548264, 878183801, 996180122, 126830366, 259927482, 813137090, 387401131, 619073927, 944032330, 691014127, 708938520, 341991848, 328655667, 82265743, 969933691, 325544657, 807717855, 995803117, 855045823, 469046632, 698160130, 818935306, 201075491, 399453087, 543744250, 294526894, 728596263, 769229834, 302109683, 323360311, 665405942, 143252068, 395059137, 125810842, 302139546, 7848235, 326958696, 27315467, 583972805, 731117013, 46751659, 202892119, 237193190, 257226187, 843085458, 595317128, 850317748, 427644878, 239715708, 191617486, 495705591, 686684731, 1009984275, 828194086, 719755678, 78049846, 20445857, 805861038, 326004381, 878538275, 863968317, 27243522, 739231498, 110511703, 428882610, 37098869, 896647166, 211623805, 707994228, 599751456, 750542216, 1019357755, 650711106, 452369012, 394314096, 232166174, 1011980653, 355966124, 1005744072, 771324283, 434486611, 95761150, 515105784, 169386999, 916875838, 470128718, 567119015, 73294127, 422911286, 740480273, 136850329, 405580877, 222016206, 573340430, 617775734, 32655902, 128653232, 746403606, 334311801, 152074469, 647785056, 277671821, 436761648, 154195159, 64861053, 719528958, 421123765, 761029419, 991971546, 150834586, 548786395, 114532906, 151645087, 504304527, 625720470, 919052910, 832874482, 371144296, 604693887, 672806599, 923956448, 6652569, 332932050, 71648563, 1018863945, 69648537, 913548736, 130892892, 640542922, 373699676, 124843598, 946685372, 609395827, 368805468, 686307826, 1004816916, 741638920, 389095572, 108681859, 688913864, 557855164, 102313337, 674568520, 842362265, 717657676, 798832202, 739924933, 854230420, 661955376, 280369815, 278265069, 987280025, 980892145, 952078783, 454019349, 66009463, 327750816, 738773113, 1018299253, 894693582, 45545643, 532085096, 939575261, 753533017, 915096832, 947825494, 67120376, 1070361956, 51936342, 370349822, 645770559, 697691252, 749203294, 134112210, 1041445642, 754965585, 600624718, 1065964335, 374878309, 1039892445, 246837714, 1051406971, 831734529, 352455652, 417864196, 448369781, 215167922, 340108755, 634734391, 581518219, 214485381, 348549965, 853667796, 786074624, 638512707, 554747722, 279100632, 127988179, 983322147, 632226869, 150564874, 383741899, 109017253, 1040670547, 393164046, 442646832, 520074188, 536180018, 214776632, 276417686, 220738305, 456749240, 824629427, 795763060, 357692673, 89638063, 890884731, 779007512, 586602918, 393733220, 312914713, 570062668, 990070337, 503850324, 439485259, 388247263, 716032429, 958234320, 156280168, 396071305, 282814060, 410544411, 107690999, 275860571, 1019476117, 709507021, 427403943, 489821452, 858956844, 801825324, 637415502, 523825466, 454335820, 161678749, 182378915, 852774732, 655752054, 403451225, 108579337, 183744594, 1045166433, 514657215, 441849987, 908378595, 683018923, 493015247, 615235960, 167452493, 850226953, 705750534, 654327970, 520109940, 726116742, 869509809, 557761546, 82811421, 958940025, 144489992, 302331974, 19189732, 374570318, 864790355, 475291328, 805207553, 1068272158, 1049823688, 398208907, 844510531, 987926673, 543973639, 698554162, 528194331, 186348961, 447622126, 126656514, 1056364386, 29634579, 585592786, 190844758, 622820006, 168191600, 455706893, 410910584, 745022578, 318724404, 289582013, 92811536, 104935339, 263491408, 21499662, 771285283, 224316654, 160738973, 6905580, 218536054, 798133395, 529812784, 513521542, 527226041, 796831040, 743278826, 970229081, 447451466, 304722990, 918980709, 777368058, 827399445, 899677359, 773436427, 844205128, 247357248, 521378526, 847350702, 260318360, 419737914, 734379388, 574208487, 845095893, 50165286, 438932935, 429626467, 160251222, 279233884, 91956669, 751850266, 1006894613, 8862545, 242832393, 712907054, 397440236, 445063496, 878874321, 1051436854, 113542987, 995730, 6226192, 508578876, 627662350, 374241477, 371567754, 1052709923, 717948440, 475133501, 626527654, 685916309, 290733642, 1014637703, 195726615, 540965811, 961606354, 966666647, 587072803, 1004447604, 146360647, 650521364, 894245898, 1005410768, 328649035, 300034800, 930020659, 951553528, 511771836, 807247772, 781323424, 64404239, 563196885, 814922262, 616376685, 867020733, 781831980, 423165191, 205496740, 458159082, 258426943, 455714376, 31166856, 553575466, 123753466, 927110637, 1005086760, 163277207, 88305136, 1033983270, 968231023, 27046759, 1019979084, 184964235, 562311742, 24460801, 987025659, 1071516464, 912049121, 937267065, 694297074, 345184289, 295713414, 636844249, 931842101, 221079866, 825594339, 595770320, 631623691, 667667325, 518014843, 1067740711, 279127067, 196917861, 764308732, 253267343, 445141515, 821456099, 841414166, 370900145, 183320285, 812200827, 487274493, 441268557, 452309953, 347031320, 273031048, 526275414, 716134, 202056156, 473352911, 812888080, 784296560, 601665647, 893085209, 870537473, 876603526, 351517964, 471779709, 1040119901, 121792903, 530408445, 433972605, 782009097, 1063633906, 751536188, 368469575, 406320248, 661848591, 1844672, 878213325, 982793286, 1037262072, 565109931, 857381952, 1048662113, 876308887, 963237714, 253758733, 429352827, 1024422197, 311065587, 578256654, 303289605, 381533240, 938880632, 127676629, 235600024, 782751735, 1005992151, 186484792, 173691324, 1026190559, 118992623, 112437423, 218325591, 855326886, 680524298, 288956938, 550593893, 527261272, 83592305, 580794760, 715384808, 1046928161, 1031375952, 1016882916, 625536989, 886209883, 801168122, 726110950, 405021770, 825463189, 161158289, 594047450, 703375585, 538982854, 50894979, 900695715, 446818199, 483546833, 387022039, 65389547, 30973599, 711401021, 109202310, 302246258, 923817837, 215252479, 774335937, 58816887, 950486371, 696224826, 1013632503, 201641298, 903756720, 430381562, 650477720, 9977134, 659615331, 769131711, 469132093, 180215616, 265453887, 325490771, 620829444, 806450003, 89314825, 49072011, 337598083, 365301340, 1053981125, 32091912, 36253320, 851997273, 594084499, 976322493, 724434931, 806958175, 531491105, 314010076, 183942299, 496678312, 580777983, 637161302, 426947074, 224224726, 940751647, 608961469, 939480384, 767921252, 526641664, 102386490, 538563329, 4967073, 62137606, 929761229, 659210022, 894578532, 755333632, 671486422, 731098213, 669256897, 331973559, 330256252, 56689451, 929074847, 663317708, 348375472, 711793560, 349587010, 1064195387, 590652984, 52433567, 685536355, 279783695, 268154031, 861343689, 188787726, 780500317, 692091323, 665735855, 206988698, 174767281, 43441845, 361096599, 479749386, 949932360, 717213208, 59406761, 753138096, 14034070, 513398692, 422554048, 411049281, 77875127, 948087215, 323959210, 630573760, 834417528, 373723090, 9971755, 192253398, 178203487, 530773357, 246075660, 894564565, 435990693, 771293450, 931725985, 69777485, 542620449, 334814709, 423002978, 775580304, 639230068, 137458707, 94911728, 992175067, 480739832, 332535910, 475944176, 298663827, 445617985, 768782030, 191602878, 898810762, 388353203, 585380896, 310069413, 232330196, 915692958, 858652665, 87436639, 531040588, 427863744, 352659978, 51558836, 16607127, 1018713745, 159409972, 516637872, 676416616, 721878264, 225316636, 397416563, 448797977, 304261801, 1030439528, 935180531, 667797216, 510096896, 854097029, 619140036, 554029252, 715385285, 13100543, 286994235, 723855095, 418541549, 137341021, 701861737, 197925322, 741955581, 827149964, 160795285, 614974630, 1072437976, 761483163, 1058623995, 218466055, 119569306, 597695756, 594784741, 293323773, 741458398, 535323813, 644071449, 402994151, 281921684, 1018233413, 235318249, 533311331, 547876354, 837860229, 169527916, 671943594, 817648266, 73341389, 570238718, 380803762, 406497370, 129188702, 140907433, 497172564, 928441681, 1055969287, 798107924, 366938670, 883797882, 712188805, 807621273, 597998283, 1014691877, 80495405, 79433178, 338557400, 446459900, 610825923, 876025769, 392190246, 65553862, 719110755, 817864154, 538596507, 374625719, 285069717, 630377229, 130828283, 785223912, 140716725, 134282216, 1040160898, 111250981, 865789030, 683578967, 541935437, 791113205, 974129105, 883680742, 247297557, 1041210788, 632967956, 439965263, 239018892, 438551711, 714527474, 505359146, 727562697, 552631201, 678324116, 947437386, 1068922022, 443847159, 865253838, 293039842, 172188025, 1062775527, 815349837, 179566394, 48524207, 898454671, 682875543, 120254443, 701408529, 254543783, 756089058, 656292883, 207308953, 725635401, 120564676, 85347270, 652244951, 783436952, 661316588, 215046698, 616742308, 317568204, 103071311, 419456119, 96855987, 886544802, 590319432, 263214504, 752500595, 1037526101, 848205763, 747686007, 736251787, 1013169998, 617770087, 268627597, 203303743, 346220324, 513535806, 867298558, 211351152, 867950723, 1057195000, 263946929, 860053519, 18316976, 179919212, 701689665, 338700453, 878732039, 273244903, 871610236, 937277374, 295174327, 435895112, 1020074183, 227076941, 1044486741, 101981007, 1007637744, 740904703, 858343223, 93552361, 319537222, 586021632, 204733409, 637346231, 114687558, 881013961, 1018507661, 553971, 369001742, 54187937, 810629711, 267021946, 806264365, 340433894, 610138930, 307138188, 286726709, 128694511, 931528669, 999322971, 695224727, 300255357, 931165232, 308631757, 561813958, 93891987, 695465897, 764905498, 866410750, 1026806417, 656823163, 261395848, 315998616, 1049061189, 662109808, 600424982, 917141654, 2968391, 646327330, 477008603, 417066292, 579461058, 1211166, 792381644, 176316334, 489977244, 521158726, 549526373, 746811077, 940722362, 771249114, 678644584, 281514446, 251263574, 668374916, 406194017, 879612274, 7358700, 212614269, 336523230, 61882732, 814037486, 668912264, 495066829, 1061458245, 431991403, 1033304549, 549740518, 998912064, 20573145, 88645117, 76003738, 694523333, 127427621, 525972807, 105339117, 348872282, 81008672, 793941382, 273675069, 524281361, 760426175, 494550126, 777378373, 383615645, 792048385, 407644, 36919043, 105901849, 62573256, 780765012, 43001123, 154737561, 616653607, 398529947, 402366914, 344821008, 507746520, 136032064, 155244394, 1065801936, 529617578, 883242129, 1025251361, 197675137, 1002813278, 255011642, 202536467, 278083392, 563780042, 737621982, 117106974, 616385216, 991177173, 898701405, 763969651, 80695936, 1031012837, 923724656, 608648613, 890335167, 12330641, 904869567, 557737359, 812993149, 204640205, 777588679, 110994227, 594549770, 134006845, 654562331, 855787176, 79016884, 88410717, 132858643, 700320993, 738091509, 566093465, 160637713, 201870953, 1061282744, 452599686, 562567589, 900704690, 477078686, 337662855, 221495381, 59479264, 838000904, 818336107, 469669543, 301787186, 548721800, 268510586, 1062326378, 106640957, 858878311, 327856972, 841527285, 1024862049, 370289529, 812311131, 175686261, 875833422, 374895000, 675259325, 6637551, 587487594, 919663700, 14060814, 85753324, 737865621, 172756025, 682433248, 989263390, 275430861, 682757365, 406219769, 23247591, 171430870, 360355607, 545970928, 76106571, 617402426, 284971703, 346722903, 3990172, 233319727, 462008530, 229862082, 759684003, 213370365, 512739597, 915586141, 407499019, 714054251, 268698521, 548779439, 825359670, 386927790, 763285737, 44001006, 690825286, 337949607, 557346722, 966082880, 875618974, 861797729, 481651612, 1057147993, 167689146, 512648340, 937501338, 500513378, 573996285, 159771615, 351535581, 175217404, 566615951, 414334601, 604286058, 840207567, 1005425918, 654779831, 823788837, 188984408, 694261408, 1003973540, 293295931, 597182156, 173211953, 346478567, 557636859, 188406550, 342234879, 532301207, 1007497375, 300392450, 941538310, 808569400, 301014224, 401862628, 581148270, 552444730, 144586596, 49418696, 28180252, 559696826, 540915524, 999228083, 102875032, 997970131, 809813273, 320345940, 197972264, 744663098, 534434646, 996883640, 333403225, 71071432, 342628223, 114039025, 525907549, 500455646, 72219784, 70210832, 79344157, 469715655, 773121218, 358954401, 772791654, 750666387, 116156216, 741168812, 596516971, 1008885705, 1037400730, 545882657, 671690919, 72386867, 215268494, 998317590, 613607043, 726209699, 274889156, 145047297, 26368579, 534485420, 533975035, 23635822, 732824919, 219527634, 456264883, 88318700, 955890841, 15898034, 47539112, 649176668, 1072839659, 696528197, 761713120, 853517278, 31432523, 519129490, 911856092, 121874704, 991487394, 81386599, 957246579, 185472658, 192950030, 537935635, 411790660, 839186117, 765266769, 588743528, 777031060, 262849784, 539372440, 985887438, 901988259, 719688231, 164589033, 926363622, 463657468, 999854743, 716951917, 558485331, 998081113, 595612519, 37846704, 509476870, 717656006, 1071711743, 405014762, 503983335, 981252687, 867884773, 351860563, 407401820, 71068494, 601783507, 423737539, 927579273, 212681885, 559049983, 211076026, 264642940, 598927480, 770587100, 814428519, 698547733, 355336347, 435963444, 325171243, 729209987, 732573742, 789044631, 1061189232, 154413317, 8669511, 235555143, 509663536, 795965308, 737996080, 851320033, 550358690, 167519346, 720668888, 187526361, 722177897, 168073839, 484757855, 333905752, 679780197, 465215794, 255048471, 768598742, 293106847, 501577056, 180965973, 89740253, 303067557, 607994424, 1022009085, 224581827, 687235272, 466001276, 313857249, 681079685, 344096719, 876508814, 345594083, 464511310, 670057548, 116769727, 249407197, 425349310, 777756600, 153440683, 655847696, 191869986, 232609523, 453693876, 9921905, 929275610, 1023083013, 768953707, 171193288, 709053719, 416864172, 940677268, 1044354090, 183900514, 993559061, 326820039, 928162974, 58636589, 7962845, 347420231, 442739373, 292629597, 64013913, 766041697, 735384071, 841515154, 19301724, 835426789, 251515994, 307621534, 968720653, 352169043, 652645669, 192698921, 600982117, 843765671, 818916686, 824577318, 881414722, 278306518, 837802494, 688263294, 155349018, 272050487, 249924921, 363934800, 204787821, 681027762, 736084841, 562606553, 125950858, 278778824, 749169300, 884608167, 432932878, 754508398, 165659990, 664193110, 34428447, 226362488, 814151235, 680131020, 841788622, 174699610, 189304218, 343671229, 999663231, 624048075, 30456920, 740333825, 178702372, 104181291, 608396201, 269827695, 760816430, 561214985, 93258024, 132775107, 241332716, 486718764, 97826810, 679256638, 60252410, 34913247, 271012271, 604494363, 413501780, 765728923, 807347228, 880185235, 400633824, 576884850, 588024071, 126732481, 905803388, 657008316, 831772526, 553588487, 141027840, 753485630, 337003553, 701538505, 184041357, 120339173, 801104215, 826588293, 180606045, 99195871, 955751793, 746927050, 1047617051, 644134955, 776359874, 271159119, 155656738, 521662089, 620083507, 1042824649, 544262050, 522137107, 312275534, 466323364, 84929726, 228123538, 827499077, 971569866, 490957458, 655331342, 552105665, 666274648, 1032209897, 658648893, 196837392, 772194137, 1065820401, 413973667, 649633647, 937737172, 348711350, 976432422, 325050831, 283771079, 394515873, 606598447, 375901537, 947343589, 255327434, 423466435, 689641965, 594891924, 416702804, 737994263, 1035140367, 533308905, 376256915, 23766711, 387392658, 736369202, 40098587, 265252246, 982562174, 340829650, 263562438, 11231667, 78431554, 636712932, 400875413, 278522668, 133682420, 82550961, 771839626, 302128417, 777540476, 604127653, 196755183, 548471586, 479550493, 445187030, 533187789, 125453900, 811605420, 572540007, 1071373707, 988414479, 485213031, 312911178, 272625746, 63668393, 638595524, 994941892, 437496535, 931122186, 29473338, 655533008, 354075575, 202183567, 799269473, 235369339, 111504698, 832771118, 204509927, 127526356, 35942223, 477925441, 757995268, 594991621, 375714001, 556924165, 347249702, 182589573, 959682617, 967984864, 927674236, 498520404, 877402757, 856005971, 702881652, 44289532, 58808608, 214203918, 288929320, 670809065, 617254115, 921425562, 597608803, 312883832, 258363118, 672880375, 601967096, 813149418, 91720084, 643423038, 789372823, 1071909043, 355951429, 956696721, 145481474, 1040949475, 162512282, 285890902, 750812031, 201802209, 508451287, 969228919, 179027350, 703490050, 963708191, 962044403, 433463819, 278471250, 158749175, 470027655, 353110374, 930725141, 314998827, 864777845, 292850035, 900269907, 636995525, 371934474, 17914022, 646837451, 217717216, 1070379872, 1020501242, 241190566, 799690788, 655782775, 753655750, 106117685, 562469496, 15976572, 315135939, 722735881, 731120912, 342443686, 866970799, 652935196, 42953542, 948242817, 474890209, 842349083, 1059554145, 557264861, 804505259, 40909166, 690580949, 599541246, 32822003, 424251423, 811410653, 341278106, 44552214, 642860047, 158648990, 498946238, 46347477, 196168128, 514726788, 146134511, 378860091, 48895987, 211754758, 11618403, 82601730, 569093741, 92913862, 814411869, 1058136001, 537254272, 415073104, 505721736, 1011031916, 267984237, 124718742, 210103064, 96269606, 544911875, 966881254, 316497378, 658587937, 1039907317, 595490023, 136359219, 920700028, 820464728, 834048791, 94125734, 582375946, 24946137, 1015772007, 1049285220, 952184251, 118074747, 588460304, 401235642, 489322069, 195121538, 801679429, 77786423, 844579595, 317176140, 483043139, 408902646, 573115050, 954218558, 825026410, 522370000, 678054768, 331300208, 1019631972, 177624897, 74827794, 1014431706, 898462822, 591837184, 175735603, 151297495, 926589403, 181946031, 765571334, 32561886, 265404282, 617308322, 768835571, 318718203, 281987630, 77743811, 328649386, 638679149, 376336031, 821704758, 789793609, 517612949, 674704036, 328003458, 212136841, 753535468, 948027218, 824095606, 242891034, 786898874, 794874250, 909238979, 658399553, 593434701, 339275692, 964904066, 59253416, 144963905, 477741429, 767146520, 38040089, 670843287, 211656946, 297746162, 981179497, 775643387, 699870120, 506522828, 672887831, 22852588, 277144518, 29094520, 1062563304, 832122849, 762168648, 1065951637, 843501283, 143874237, 395886932, 425910187, 1038369533, 17817677, 739379094, 711254452, 880552584, 374830747, 839740329, 314480248, 636984425, 412055817, 156016730, 699320229, 269171981, 913174710, 400910905, 1068692746, 252593829, 487070564, 560062139, 610206673, 297341902, 246806484, 659748971, 194320543, 920235897, 719441205, 899258234, 8045289, 131553318, 693214065, 903969843, 633338284, 330765521, 727824336, 727616883, 283933039, 328217796, 632015250, 895339542, 542591735, 1036060792, 1052656460, 290837414, 251442959, 424028952, 1011940893, 280429793, 652830280, 949772116, 359995092, 910266732, 594583617, 411404668, 239685175, 833017910, 146542616, 215742750, 428308176, 580878194, 39967612, 288158586, 987676599, 986540245, 474967227, 249693289, 626599813, 1054370795, 9297207, 865007457, 943390513, 1055195172, 519147435, 537881759, 697597417, 817452353, 724271155, 936613609, 199463581, 715250292, 945292580, 594164084, 747298509, 738299532, 620579626, 69755768, 1061728973, 316960781, 519605095, 151797268, 703074721, 5865550, 617863662, 70056780, 543227255, 1010965276, 621003862, 215998542, 999602508, 684948259, 58004716, 880170061, 383884852, 242503199, 26612360, 1001642162, 974513626, 330269801, 34045366, 108292280, 804551110, 362210581, 685850443, 848498916, 867900092, 331270533, 768832928, 780813347, 167524235, 75061408, 466130322, 920765015, 239889934, 104737595, 821169646, 1062222078, 267436394, 225255455, 530139411, 896525786, 310725808, 934305105, 80438039, 220891955, 681065488, 822931731, 978694525, 675544544, 892333011, 809720130, 1013656152, 366084448, 873718443, 870701427, 719051127, 882359156, 705217555, 153293399, 539751614, 750457406, 1016268917, 640392318, 768560072, 990095811, 628608468, 596470101, 789480911, 987997362, 455503511, 398504581, 114923652, 6288605, 735651946, 745636561, 635561215, 475826539, 419742401, 749714540, 188997333, 403605940, 388527803, 247422390, 624604612, 674540959, 937614761, 886899704, 240929707, 484943730, 465889987, 935908609, 29269701, 581897129, 397511149, 903440451, 646791278, 224562946, 62241235, 813057147, 40058128, 743688030, 54276785, 1016279839, 555544804, 150633916, 815648502, 432343872, 934043507, 161722197, 245758956, 185689580, 35844201, 841155927, 1013049266, 1030899914, 9764820, 333000292, 973605794, 672656446, 692082345, 779252714, 149743385, 299556229, 817713529, 627273268, 891287792, 349996558, 550808184, 1059971450, 949389265, 783652740, 1039250651, 740324906, 251281767, 804484798, 644189369, 84440913, 404638715, 54362482, 326217802, 166911407, 640280676, 224527769, 252115907, 872519294, 1024312296, 856750185, 746457506, 983058914, 714947850, 973816275, 4772115, 464099814, 316274290, 596749418, 1000888696, 31626887, 44532290, 514824525, 201056708, 1016589196, 533644276, 809691252, 629002401, 707847151, 876723543, 167721266, 492825517, 779656271, 150007639, 716160319, 475373087, 80113556, 986434533, 751508719, 123599725, 691269294, 1032340863, 236752488, 975412894, 605854110, 928280639, 479999540, 432654977, 748920130, 31117621, 857374493, 81011139, 324927012, 8642423, 1038525155, 717688824, 620666772, 542393931, 885944931, 134550773, 743817483, 876059998, 2408024, 396787996, 275511984, 1020816731, 261014661, 958044724, 772598716, 553590089, 809965897, 670660265, 609991899, 840678731, 276517678, 979451802, 1003127285, 925921765, 91714884, 855242713, 723941485, 954030406, 807803004, 323034842, 667229469, 686343599, 823491179, 970177000, 623777506, 262143920, 433767381, 96652232, 247015414, 584858928, 140197340, 652503543, 44198059, 738569035, 343866284, 409541425, 749942023, 925886102, 863037228, 96924259, 945814562, 454247034, 1049521474, 438822506, 396021634, 74417611, 210390172, 970621755, 1072660878, 811793464, 273023655, 676734290, 526287109, 543254078, 469249905, 912384200, 3446867, 1022212144, 226039037, 636557097, 380518734, 392287945, 420475414, 476698652, 165469284, 689930481, 760354096, 37073520, 231316491, 120306892, 951641233, 135090684, 584613471, 287710051, 519800887, 814186546, 228987084, 42385325, 717571203, 365768865, 340948552, 177496402, 532652727, 265197110, 527436772, 959523957, 511971991, 1011597910, 77095263, 724144331, 538619839, 190945967, 396438176, 55826380, 431291489, 344254731, 969978390, 235209408, 245754236, 886983894, 501290307, 183643457, 695939897, 608287264, 673141635, 626654663, 399654705, 622968391, 567665475, 176560813, 802128226, 655895332, 320880719, 839141206, 422315938, 217286926, 446559061, 808293350, 657868119, 377501572, 277713089, 549223431, 355840002, 603482753, 542190544, 783383059, 114307375, 206592175, 386767361, 537114398, 196193031, 560464709, 681097462, 467978279, 480504219, 543026557, 1011557936, 511791453, 674200434, 959797277, 872249004, 28606918, 844791354, 612037087, 126650447, 968308252, 822803602, 563323357, 966925896, 1023223971, 935994019, 718238548, 38807179, 139490776, 8756043, 288475801, 211308152, 93161581, 780205641, 751394770, 77255203, 425965459, 942695901, 597244150, 382043372, 858451215, 899783753, 944662137, 632431833, 1044012127, 504976831, 163278113, 154766761, 127616311, 775114692, 966479683, 484247480, 171358838, 873034021, 998842639, 487567546, 585001480, 14235468, 876175636, 1020893519, 350630917, 263828252, 696882693, 403562025, 687676262, 767263603, 430035444, 324022851, 932342852, 218585627, 1033496023, 861954677, 930872731, 680930038, 1051164226, 768504602, 882572767, 691138208, 1067226673, 50046193, 636182447, 354765565, 702431284, 265200120, 1014721247, 431320645, 719182896, 953667534, 547684926, 594209108, 657655362, 559732320, 783274709, 1060482160, 1056130055, 581567257, 773641276, 919511990, 891853543, 96834104, 453469218, 146388018, 49230675, 1058218953, 426632647, 340878268, 266423834, 371098371, 191605828, 118885525, 577076684, 122427254, 616989929, 236212428, 968437460, 892816519, 57416137, 566569244, 577375239, 341342856, 222122809, 490603758, 221478697, 396681858, 403462626, 84875857, 643691327, 431593060, 260943923, 359676198, 630205405, 602376792, 604846268, 187900483, 275784141, 129794627, 358514043, 395160178, 704521656, 601132435, 88445112, 785572898, 784001908, 349658085, 993462590, 1005760632, 745536638, 441115285, 27920054, 706489842, 521704661, 302090872, 1072483239, 995929576, 871580546, 1011758557, 606892025, 423728790, 843513957, 566218736, 662465582, 787245032, 452648118, 186360939, 777142103, 982623337, 462653588, 554320543, 578500207, 460749487, 822150044, 611017752, 119713062, 215647151, 545312884, 100991197, 801745376, 288465173, 1059653766, 949152743, 1034979350, 897198218, 744393424, 1048410095, 954106095, 570864812, 610196857, 449807878, 839843232, 913483911, 119900717, 803543638, 382471485, 693163889, 765439681, 231814019, 259030015, 292715668, 345324989, 847452202, 163553908, 382015949, 711163713, 917926342, 852650862, 192705727, 85737165, 530159939, 183086341, 150320607, 799488047, 485704371, 972297313, 822838381, 403345449, 98254919, 879979984, 227826142, 856945214, 652917748, 366455853, 504331371, 1008580253, 849867823, 1071834731, 772215622, 898109372, 515385516, 826255580, 613946516, 1040248799, 1052066207, 30316558, 735184403, 996178422, 311669368, 614969313, 88516929, 1065099262, 498710921, 761326028, 1053434479, 226797976, 394629479, 812899020, 743103301, 899632935, 713362255, 986872547, 396320236, 818340554, 805294098, 136007518, 67395233, 803085909, 844512877, 553953662, 1043846032, 68232404, 625707540, 929205136, 239590227, 150086628, 846979909, 917771467, 71689940, 244181314, 527624309, 531997708, 235437390, 330497823, 973413967, 933526662, 218599569, 444955904, 895123844, 1008078956, 718590107, 455893694, 581827901, 523143906, 870871139, 554261024, 498459546, 584989485, 642565511, 548852736, 1049869128, 633386024, 211457789, 549206490, 27289082, 511048802, 665607154, 863854985, 1036240815, 498509346, 450546778, 780718746, 939681330, 656095826, 378187977, 130836402, 241641407, 220737199, 1003855074, 568308737, 330195400, 461797135, 807660988, 162400209, 354847715, 667783644, 822301230, 1038972338, 108430841, 202282056, 789092013, 423468650, 969708884, 28972948, 770417408, 425975837, 164009928, 525282345, 273869833, 1055699509, 232209180, 668353675, 872713821, 1040684817, 778152541, 4508033, 511997163, 544654272, 695927659, 192205861, 707422655, 51623061, 447547494, 889935705, 804489580, 123880302, 57046338, 842581423, 531356230, 755283195, 765118054, 326779869, 245432432, 257434359, 426379279, 962052281, 1044622687, 759873160, 273562545, 106018423, 20182336, 1027620875, 283141253, 898493881, 858233326, 518931269, 512149988, 454946029, 929167780, 199273109, 156515168, 54533705, 845794134, 742708325, 505247211, 871622571, 503824389, 975139737, 724525273, 36570893, 464316842, 410330390, 1019567008, 98543597, 792265591, 767141428, 250177433, 800412530, 143610051, 80883066, 899595322, 579706934, 50302924, 77377922, 390512246, 1026151111, 862585103, 742997366, 786649325, 488551153, 106948651, 459846847, 499338488, 113215359, 887716554, 766526950, 246409209, 690602295, 221980084, 1038244799, 860827742, 551238520, 151863455, 442472399, 1049542473, 294567460, 167109218, 390086631, 534041811, 715028134, 903405300, 161448195, 290016035, 712741158, 568587226, 446472761, 369329466, 788187406, 157898794, 444688856, 948058280, 224914212, 271711863, 552688702, 608321929, 491163164, 858085562, 413544288, 149422721, 186456768, 891315728, 959152240, 600065245, 853114169, 131434044, 836241108, 365193487, 322865408, 249341966, 288878170, 652687844, 401924297, 739737785, 247062279, 584704109, 91208123, 505806404, 1062861384, 90826409, 727940199, 762579563, 451996698, 850320958, 765677950, 732830414, 346871016, 945273801, 5161293, 569087598, 867788665, 986910158, 337139458, 32008114, 246699189, 391759010, 673922606, 120950683, 977752706, 508167660, 62674478, 577554112, 634711459, 709074454, 988771452, 138984920, 561207269, 674972544, 422647229, 775544278, 241655543, 129386903, 437358597, 1009688270, 590687920, 952845531, 1036815719, 859919307, 833420378, 150112825, 708418473, 937266693, 236855380, 261136607, 540610444, 545133217, 61650620, 43735268, 251580654, 117295403, 321545612, 251090772, 156518041, 129246722, 710007757, 1018043552, 843690161, 478761463, 946693658, 1000941160, 597205733, 541541889, 996044628, 971662860, 767853002, 822175532, 592204425, 143554603, 732427549, 113041412, 645671698, 726164699, 640009341, 925571587, 659822440, 425573090, 504367549, 624099247, 513829914, 446983222, 640861864, 546632177, 924753692, 64320222, 133105353, 281422269, 933484803, 481271672, 501201950, 832976467, 513278619, 461855983, 1018226919, 565515144, 274623045, 335458751, 20571277, 600216815, 615829480, 786033986, 1041095831, 489027767, 870618884, 8757962, 828046324, 1062025952, 509505044, 460993243, 349611567, 894195340, 90034413, 385237273, 652556940, 368416873, 107880634, 291812685, 425303746, 256706460, 164014437, 844560080, 749439943, 803857296, 373383264, 55458392, 455394984, 668243431, 213517383, 270014022, 318536242, 187168690, 347218917, 77242857, 82100582, 330562322, 656719075, 655669577, 786301569, 38922433, 722232875, 703708308, 985662839, 303719635, 128617389, 583079982, 449404401, 724034995, 316946708, 694113990, 635503339, 990437995, 594111754, 960647578, 678838450, 665526325, 2032673, 93828896, 802112574, 308586626, 603082324, 831812720, 143480725, 550859949, 290227405, 203819682, 78977301, 930939169, 111177482, 917360571, 305272837, 423260931, 188432405, 104819744, 880306579, 885213947, 339857900, 192323750, 630970981, 344506156, 577060036, 65366460, 68097180, 825785004, 406200478, 204800957, 629320924, 685250710, 372696082, 1019264690, 999877239, 360257925, 53123119, 276459749, 940066599, 960689310, 718084065, 232624581, 890169974, 199033036, 944022176, 607272929, 505482536, 230516265, 209661411, 880439959, 174662270, 1073162072, 389681382, 402996260, 658891130, 183176699, 379065446, 1023824497, 690701500, 547855008, 705229242, 259847356, 713420621, 390368493, 1026583518, 936349031, 41926687, 694204584, 847346012, 991777791, 55145470, 642707357, 549652586, 1028514127, 1063149919, 252047030, 228298870, 291664111, 466563653, 667496273, 365911101, 538468039, 1064886019, 308048985, 494663479, 187740655, 740719832, 251126503, 991230979, 398057670, 917806593, 152161636, 998152024, 194790266, 861775522, 879070246, 625505003, 443520483, 552064517, 409154093, 115831779, 659941329, 834494734, 843810471, 812944511, 1028001347, 295905033, 640377515, 580042221, 47371578, 739803867, 336441261, 782244593, 6147248, 594407257, 471571543, 338220232, 101773833, 518136639, 926697698, 339001675, 728671766, 908155078, 816341933, 108405967, 885132280, 205570660, 517814036, 72698618, 717659802, 885412653, 1000490130, 200083160, 603340460, 472898467, 1016109796, 32379648, 610848916, 950911506, 463186054, 405230827, 497154844, 743048117, 502028179, 392752388, 670398938, 343574860, 764035603, 28311802, 425849349, 567295189, 167382873, 14610642, 960538131, 984204187, 894066371, 813744523, 915604836, 329299965, 727003723, 712577512, 1006389432, 959418533, 858531641, 624217683, 885890996, 49584645, 970684347, 46928400, 8240013, 496434950, 329107980, 588331992, 243785850, 1011793359, 939596743, 453031660, 628406639, 272980546, 380171893, 1025664254, 830618767, 32128106, 465161445, 920656879, 577289927, 117711902, 786918605, 814009350, 561583642, 653903406, 717770706, 306532041, 438172899, 102221227, 792699079, 684181241, 812083759, 1028403965, 87860055, 875055105, 829143953, 459080123, 56413293, 867087079, 818720873, 602279332, 1014762598, 824667700, 895626592, 819923448, 507838988, 547741796, 779766359, 365625747, 462838581, 687980083, 625555909, 901425168, 482108260, 296006911, 576325289, 1019428636, 795425350, 253628036, 182954145, 942545013, 215532621, 653362408, 468494011, 27266992, 943893814, 363361244, 289838117, 957213739, 556138355, 852203674, 795681062, 137975028, 1010889927, 136419927, 620787932, 226555434, 847017069, 668389087, 22553736, 311172627, 1069404386, 304668759, 13561203, 131327423, 481953614, 794806839, 950688247, 239584762, 967246339, 103890712, 92736085, 275179468, 33922641, 655045566, 199337287, 816837615, 744592509, 850938252, 588326617, 1027594666, 834458547, 475553302, 285772060, 347042160, 792997329, 766058259, 826558804, 849467305, 483538258, 471516889, 769551202, 133211048, 402569138, 1022848980, 105136211, 898369547, 448338563, 223602037, 751980511, 825812200, 983177593, 599211822, 226645833, 211474422, 14648649, 1057039908, 901456303, 73976144, 549558054, 212963575, 452542580, 980647229, 348356365, 335158199, 104765509, 868241459, 123969595, 338846648, 877903449, 347616102, 297923716, 425351450, 811017086, 136901803, 664786257, 379982069, 798959510, 307220420, 591966539, 64332457, 37451432, 441885293, 184343293, 172970903, 737588252, 61615004, 158129568, 92099115, 90820383, 737402398, 291098603, 72643781, 103081010, 178592547, 692485429, 305376996, 249326366, 1019459724, 459391176, 913560967, 1027642467, 616756054, 568227600, 936745275, 825013889, 829791926, 258421962, 777682732, 14845595, 185596231, 474936225, 388647345, 13354629, 407374147, 911155993, 30454375, 743239903, 908705890, 982039202, 1037139149, 815697489, 1038020196, 395883643, 854883218, 136431443, 415338771, 667266280, 427928714, 822219077, 686766011, 586949861, 841446182, 294587939, 920470709, 201101801, 959179774, 525469013, 992146202, 808903683, 512111330, 123410725, 271034654, 365869823, 119700725, 844860621, 842681506, 941307280, 531177455, 697811615, 578945247, 445668303, 706139913, 993723755, 175463821, 732269138, 866049774, 262930854, 532362874, 237811556, 566820571, 70389491, 169322419, 177806650, 286256010, 908823931, 128195867, 439223718, 467575222, 243660860, 25275613, 887380824, 949908528, 191283964, 810482243, 1048633195, 151866200, 290101266, 740948234, 1024994959, 206063905, 977999457, 883292221, 873491449, 778884305, 215679178, 117503670, 312792799, 964190115, 226703119, 396956035, 403438330, 462602314, 129852749, 957812420, 166527228, 460777704, 806244306, 347833776, 300913940, 67919860, 423288844, 87860863, 69118647, 687112654, 892336004, 318703258, 161273937, 382027688, 439912087, 425258983, 112526094, 1048152247, 52635782, 711254730, 513453156, 10270255, 861315830, 621163989, 134637236, 784503935, 208794944, 22638085, 165248883, 932302829, 899740626, 345036768, 772793174, 255415239, 992233233, 4826986, 682012972, 880354359, 58136934, 881370421, 1020046305, 893574144, 765553222, 176535736, 729988413, 63409907, 752402254, 679196866, 30256034, 448707452, 102311112, 221589700, 237345664, 523690230, 255305386, 223902542, 844095166, 493442051, 518277659, 153731060, 687693850, 498176186, 678756200, 8815543, 1031949219, 410337048, 434355916, 569459841, 53198125, 1016689510, 138017492, 862675070, 851390598, 980459354, 259150925, 94203581, 963396604, 17762248, 469709184, 322073908, 275466463, 971864984, 875554597, 59653994, 410215490, 308336619, 920936394, 766310827, 705015955, 203282764, 99707634, 590218369, 476925922, 608564848, 654186102, 734971011, 423710857, 355085487, 319710265, 721405777, 797193193, 296545414, 896353510, 797972010, 425074120, 606225025, 1013388579, 787117788, 919521839, 1045604031, 987599219, 121686210, 704140418, 599962181, 740274967, 152338615, 345601228, 509051268, 342799769, 756506757, 262891620, 82781730, 90798609, 861636918, 302108416, 410585209, 414272494, 1049503749, 898997316, 211616461, 406789296, 1072907118, 347274207, 86949538, 50241879, 530264446, 148308046, 271546438, 197076472, 768436613, 320408285, 754297647, 119972305, 458107348, 780117426, 894641432, 833230119, 1071879637, 735341413, 34561992, 596873321, 169813943, 757893088, 548922390, 349313706, 471818244, 284373359, 649394431, 753679671, 615307327, 269041165, 423124692, 978539627, 596591059, 943572962, 1059845301, 468586536, 849585847, 587176863, 755951938, 290461129, 561318193, 1062361854, 583570245, 57745636, 118583576, 487721294, 306954721, 858276070, 753253146, 671490943, 624320347, 138111073, 491451602, 359904009, 708826406, 654961302, 582267105, 126261706, 659775333, 328681306, 958737286, 169932643, 537839409, 149507375, 520745308, 94256493, 718364386, 320250923, 3977326, 761507000, 732844690, 307805165, 487950293, 992003877, 376149762, 287871295, 104900823, 362086866, 241872949, 5308699, 267694766, 307303861, 572579937, 593059946, 455279067, 640174786, 758122902, 942397136, 936651753, 907441602, 180737206, 380270538, 1023272802, 110467580, 392795110, 14958137, 739105278, 850177598, 340480658, 677518793, 513136691, 969726728, 768461281, 245141244, 687332579, 388655347, 401777688, 669776647, 451833159, 379399824, 1034951239, 785140586, 584095350, 697068285, 599119094, 1008561020, 595157300, 682419167, 205383272, 722007344, 179889331, 190614883, 629447359, 712582419, 353127837, 413759762, 722898324, 855228318, 1050559998, 482189213, 514000853, 218752135, 289160200, 817131873, 406447482, 823289907, 771046502, 140851205, 328346013, 66530421, 791255287, 495793978, 522805662, 653560878, 843156156, 27510954, 189740301, 64251198, 848083609, 675583452, 405685978, 894184292, 836205782, 563469154, 750957879, 29368760, 979437335, 883647952, 994458974, 214359301, 719299308, 890377213, 1058000573, 512496598, 55196756, 275336292, 970881705, 253828353, 352434285, 506709770, 296555267, 294183843, 747368521, 533127342, 963580761, 669623124, 322868536, 55276565, 988599718, 770750478, 1024899941, 487621070, 476162689, 60523309, 429241935, 255840531, 195483650, 1064741422, 207122054, 106722984, 933465799, 335986570, 256643350, 972143892, 55893865, 720142166, 649002472, 385537437, 230716501, 1060354331, 276664924, 1001562839, 79706065, 649268262, 19788913, 750142279, 535503267, 340036878, 186152285, 523540908, 205317899, 1065794160, 348662723, 316154634, 556145020, 834499726, 638488301, 466898651, 39890849, 434589463, 678517291, 368328762, 881950617, 574844341, 419512106, 141347939, 978310524, 808622018, 336213117, 1051291377, 608491224, 771622811, 750295883, 220727747, 215367824, 454619999, 323748258, 661366177, 116798970, 758559243, 523206706, 381604160, 265520798, 668174764, 614597143, 227073165, 501694624, 611598226, 132676126, 691687259, 556305279, 1049306615, 481815741, 540727344, 641983057, 818338929, 913457498, 966181418, 322128007, 414507894, 313673831, 557635692, 839863407, 1006389148, 310881840, 800649335, 81721414, 230697679, 242898442, 329045645, 179034803, 591636235, 236406300, 279935374, 136437054, 222709092, 404751378, 344395733, 345650055, 392690612, 36991683, 803167441, 253320761, 960748531, 327825611, 305752279, 1048691770, 617509984, 1065766993, 465456934, 654536031, 902921849, 30485196, 1039381721, 823816090, 671020109, 584804089, 88269478, 173489636, 484304633, 121159741, 37385090, 266771967, 74149510, 599334159, 247728864, 986071611, 551565197, 589630526, 774377254, 425246950, 783675816, 663272136, 592276638, 646079171, 1012391601, 399220658, 403402630, 598951697, 408838299, 109114436, 944882043, 460567136, 701427790, 428954421, 762814668, 767058225, 126658748, 70172942, 346531260, 444339875, 619852642, 251319250, 776252444, 303716477, 269875283, 684512433, 535284164, 786457786, 390960739, 25810272, 1023028458, 317489675, 53859558, 248777967, 157347999, 414047011, 246035576, 656060488, 514990516, 492366387, 564341906, 66007348, 1035759049, 499696373, 824151028, 183254635, 910956203, 639379734, 610611802, 252916328, 508893202, 738931527, 676900908, 418208324, 220095587, 213412009, 1044286920, 898276931, 43565609, 87299010, 200647255, 429610211, 61889529, 770979216, 374481349, 960191283, 726111039, 584643164, 143782984, 53793349, 856748002, 390262308, 505003346, 175129514, 219195766, 525674402, 964909829, 144237691, 517593865, 56570974, 320199171, 872224832, 343155060, 147099654, 254657468, 929436137, 1057528302, 962745343, 728525889, 20074559, 961321862, 584440303, 560128848, 779365425, 934333891, 508632674, 982307439, 744510929, 804527187, 130558309, 331907117, 297224545, 826710053, 718059829, 212727610, 119319904, 216242214, 6947972, 493286706, 67462998, 954162737, 744348136, 57531078, 943350168, 1026731746, 897069607, 74556420, 4290713, 668590515, 1026319789, 838919446, 223625331, 579808345, 924920273, 555462588, 918017538, 1060039492, 599494077, 76967383, 756626078, 181827082, 486644206, 785935987, 809856334, 23010526, 465398870, 1017922096, 208730448, 130639207, 692502773, 591955754, 444203784, 861287487, 779442589, 790933653, 965033405, 376840652, 801054055, 94215069, 363727009, 753626520, 386579862, 47135813, 723809506, 230484871, 201543214, 709657962, 244944607, 72081091, 19417573, 857883930, 180419298, 822548772, 728464868, 23799186, 1035651826, 715144449, 851024682, 762838084, 854952422, 638555030, 645576445, 154770300, 378713809, 64252312, 347465098, 779750912, 45028500, 623119264, 343094146, 258068289, 179770800, 726940322, 275603890, 481722948, 12188076, 441573200, 305641066, 194793739, 290192647, 16364682, 653209982, 288416231, 232193623, 539768770, 876298303, 800572183, 105426411, 816661563, 599023548, 379806043, 177943995, 192953468, 999423877, 373485076, 646292894, 246728578, 447202156, 871177926, 571051217, 276423424, 114773949, 469919393, 821761869, 953967896, 124586559, 417242061, 483275451, 613760326, 529277565, 992084117, 878781422, 226188392, 663629024, 550046441, 54943047, 483403686, 706541972, 942858254, 944264436, 181908788, 279628521, 466306785, 327017810, 81489781, 405434408, 43005999, 823747070, 580967237, 974047493, 296102218, 942720748, 535928311, 912114398, 961829311, 594695770, 435123605, 857559086, 913845654, 466758865, 140568991, 626059535, 270066336, 197452744, 776813621, 1019556054, 145531642, 641850930, 331430504, 142029648, 782779151, 892085570, 16668461, 71612965, 787287353, 257621623, 245694393, 229200809, 835811388, 5773568, 858485577, 499838274, 598760786, 397354172, 324616047, 520678447, 743731390, 614106151, 441230878, 627521840, 33631094, 33624426, 60684536, 636359249, 226790944, 276089965, 152270828, 418280540, 909808056, 986658850, 263614695, 655686342, 954047247, 259313837, 968190971, 86948939, 1044144995, 815509020, 756867395, 204766473, 25581814, 211524104, 324766792, 623172656, 361302397, 476190420, 476887889, 121217340, 222762115, 458774648, 401743169, 527860093, 144570497, 88835298, 408738166, 171395453, 563553167, 189446807, 476609035, 374905476, 68941800, 275190240, 152071672, 735728702, 393064213, 565416887, 39795687, 164208494, 922342943, 564122173, 19872276, 606726017, 465379023, 238661771, 252959397, 105597902, 305971476, 751824833, 340310854, 286175236, 403907513, 69058535, 293917628, 634919155, 225503620, 538500383, 1031343100, 1061182922, 898017865, 429242545, 780693681, 438704576, 376665052, 531753916, 366284893, 776624609, 487357301, 404208473, 699481544, 937597144, 77650427, 596380243, 958130675, 880234566, 382655005, 833038827, 989575590, 18119240, 426299496, 44604967, 819161025, 286422517, 338625129, 771642433, 860463564, 397937349, 318936291, 953972089, 1038050863, 846692933, 652572665, 382394799, 795815263, 272307874, 882546824, 458696268, 25058370, 611849577, 19608047, 807843056, 780171254, 580722785, 706932007, 1000741452, 642579716, 278598676, 1018241638, 1070983583, 571153624, 971989755, 371083242, 156813001, 397582275, 89688863, 156385201, 251414817, 1062424331, 540962915, 199700001, 997849326, 43295605, 332446755, 814040426, 303313018, 858504172, 734317915, 20914902, 269732390, 755841037, 567978540, 148666719, 820908887, 142110279, 322584715, 1028422912, 780765011, 849245330, 643830901, 58839589, 957648893, 912515354, 615030261, 842250949, 1059445737, 150114799, 199536733, 481364080, 465076946, 994740460, 994676141, 128970664, 1002321184, 832683216, 252884637, 714594862, 720946779, 216691449, 943736770, 183655603, 724495009, 768787307, 491489839, 932618730, 759224641, 339965285, 1030249383, 1004945653, 353641715, 156950192, 915925157, 1014300494, 637651964, 544341207, 228968843, 292251992, 991278365, 624048544, 632876200, 1055091238, 818375163, 754755728, 695434080, 709881875, 1002584017, 1027817726, 112752314, 95085172, 556201172, 456819952, 596541249, 727912044, 617218625, 649719449, 630528649, 974373621, 820748089, 706712310, 532111234, 326914779, 348446572, 988004086, 623115271, 785154623, 145536409, 130291161, 706166447, 752118111, 1029556016, 999332994, 509290786, 461090316, 665406808, 310075552, 497674579, 280850411, 755394383, 69364433, 949688308, 714332276, 7293493, 330302738, 30305245, 307408033, 843771995, 883011743, 824946027, 526317865, 426911558, 804696676, 439323217, 962292438, 686485255, 287457667, 104553915, 302560013, 368285593, 394042887, 881027697, 259969630, 373079566, 164512349, 354170734, 573870935, 605850663, 704457057, 976343587, 199411177, 726783852, 693074819, 463331443, 674594835, 1028767367, 462134670, 819259527, 600289959, 708419150, 59239795, 693471739, 907674165, 306163355, 162329994, 721725670, 548276588, 301557747, 574074487, 970808706, 456795924, 73823315, 495316311, 881592158, 954316385, 832809024, 22675865, 367781212, 877760052, 1068003665, 834908625, 692887191, 358903232, 1069255793, 383117851, 715946104, 1055400709, 167364618, 609430938, 303684691, 255118376, 23070290, 284968063, 361029137, 558641794, 980446582, 835702103, 236069898, 545225848, 352773020, 376335222, 145339076, 229220534, 304475098, 884036881, 1011661051, 15088216, 115276570, 671780389, 881102691, 795748573, 248749015, 622381439, 490243078, 713117878, 733474961, 1054355317, 597879438, 76156896, 117591301, 92190008, 674221525, 180064310, 801572550, 428589507, 288744366, 70158512, 350651021, 761093079, 186795041, 259253494, 140759621, 760626338, 993198026, 535336785, 693543603, 208647068, 761667518, 828391115, 415873655, 221944407, 251734977, 181231728, 532892116, 938589683, 461202965, 946211584, 780607636, 9555632, 328013338, 1058748176, 910524225, 415008693, 909633288, 537991463, 1013352895, 196740046, 851319673, 535098054, 898243409, 214687263, 235282036, 1008586301, 500684478, 474117475, 512496447, 666858508, 135540296, 113532520, 989106451, 891224653, 351025755, 196803540, 442603740, 397984592, 328134874, 10488512, 83148895, 930003787, 752105107, 861154883, 501050773, 1056397038, 453901922, 962715661, 909222498, 989169286, 493343902, 143491035, 356520224, 1068352839, 587534239, 280466007, 1020454583, 931392174, 32101875, 28343609, 458899934, 672139987, 309509031, 228718008, 123579023, 379977860, 493026112, 788060598, 77502834, 496204503, 278666347, 977888420, 994412829, 820413944, 888339727, 564531214, 679182461, 1029518780, 1053774775, 546489374, 479783426, 584964723, 318207585, 29473868, 127623284, 553734582, 816585904, 982582186, 826375471, 978073121, 806844566, 773080669, 836568434, 520456653, 575959061, 867527614, 700328356, 556276960, 99065760, 1019495791, 7036339, 507676540, 214049457, 912110710, 35720008, 1046137620, 673540214, 1058553963, 968654109, 840188236, 948151828, 662555035, 587607632, 1048404244, 154346470, 812823281, 683261996, 44420883, 398866490, 758642822, 748965585, 163029300, 271698416, 213045592, 137519880, 30993552, 145941510, 861542387, 411913296, 568324896, 273320245, 158284869, 252681241, 848317254, 1071789728, 211812257, 183081814, 729464911, 29405434, 843251481, 47554645, 254794066, 391258455, 956708488, 1041698229, 281839664, 261707665, 857411813, 332728397, 1050632195, 297699536, 352300427, 190716784, 1046648200, 740073344, 906396695, 60488121, 7922113, 501987715, 665817560, 1016161524, 131781124, 280904744, 629665221, 296331047, 285419898, 313561169, 1049236029, 893962262, 978570813, 572581606, 519470137, 851141562, 426324933, 253765176, 901560248, 546311115, 481994504, 96065497, 66702277, 801845585, 218136598, 139738906, 1018769684, 91059886, 349903399, 79999114, 83106473, 215977738, 907443564, 661379187, 364095354, 348707752, 737376567, 1060440414, 587521609, 6270401, 607084761, 273224477, 113305046, 687517995, 514764798, 691806626, 256122212, 81839302, 635013258, 1065023628, 643211535, 793976714, 1020935728, 645922473, 272026709, 530173194, 730303328, 362002401, 42602883, 539073895, 481526322, 36696435, 512808127, 724068637, 958354134, 974644247, 797153726, 441383944, 755038660, 969347661, 787040257, 776207977, 373171249, 830743687, 909873548, 738541368, 957187762, 785256781, 994993388, 120076127, 46998634, 556037928, 542622626, 662872778, 399714167, 201625746, 149431889, 346190055, 413129642, 334521, 266852880, 912855611, 363332891, 738334281, 1018962474, 967790097, 843665354, 220106131, 144682777, 885726165, 962119863, 228370437, 640887224, 550749111, 908954796, 872610672, 371087407, 712725644, 721873609, 996478296, 548476330, 1057395449, 288904274, 856321605, 1003873226, 85665379, 403689380, 551937789, 906485038, 84373352, 937961076, 876237904, 655824722, 617230900, 641201224, 853931727, 142781760, 350463705, 1011769507, 660088474, 852387600, 864245985, 227253222, 96436481, 796807839, 750075048, 214279589, 665373846, 443704594, 8343699, 750161409, 235750589, 599228445, 966185746, 31300890, 46349046, 645093444, 559050010, 796608096, 488943140, 398190855, 469542510, 18353312, 682951798, 760767925, 695150700, 980933598, 870329089, 681081959, 354281641, 200013532, 300739504, 641262166, 12807600, 741017120, 555644907, 268180089, 888630855, 494061340, 280425781, 296560127, 146685685, 962982271, 627610728, 419110836, 862715680, 439552604, 1002507695, 365318430, 581064756, 916489311, 473547842, 707814138, 876158658, 324958343, 697854530, 242430153, 914054183, 939454269, 423666409, 1013996555, 148089561, 214807138, 33893834, 287414489, 786840526, 120911547, 346432011, 785706248, 433104352, 1068665772, 652875171, 224503195, 50254073, 228131234, 1015808025, 984053082, 409287575, 848167988, 861183277, 285348743, 728432876, 499482970, 910426065, 573209646, 411739298, 444642065, 42909658, 614667357, 479316601, 283997356, 318801391, 498258542, 725540840, 1072748889, 285901905, 129856799, 755629370, 108613841, 485368594, 490341920, 735608526, 508739672, 333370271, 255236193, 390135045, 883544878, 974056711, 509230847, 400002937, 1004741679, 171628891, 202569508, 832644484, 313399930, 486929461, 544865033, 127834970, 259954154, 1059553428, 814007346, 645595454, 494683124, 987679770, 581197360, 889296410, 593684290, 840544260, 571098908, 306165654, 169748881, 391963210, 763351555, 510001152, 922415651, 889786288, 625903180, 952248334, 30407660, 189367137, 490075315, 720410931, 502020495, 561739389, 551358973, 543819984, 952187358, 752858694, 334399043, 616521972, 213864334, 659953355, 213608302, 18437408, 143730374, 505894248, 384318244, 949730425, 556005620, 787934214, 416700011, 333977057, 511609831, 443676140, 120662836, 856894577, 960703677, 465363184, 492378324, 719689506, 168727828, 192157663, 889598216, 864064053, 357094017, 659937726, 914521412, 789937539, 963552182, 360075944, 589925371, 650657965, 996689663, 270505199, 447014696, 906911806, 1011390925, 847811152, 783173979, 675360738, 117917089, 768998178, 307602734, 1054240662, 293382486, 252875220, 810741907, 468253675, 223427234, 943696292, 961968275, 333431058, 118090482, 1055134303, 194404140, 308967013, 933880037, 464564527, 291850410, 169391017, 882869301, 737060160, 126911085, 6125051, 672178802, 574147077, 993482167, 740169061, 474441987, 260149880, 60410291, 370702947, 109901977, 884886982, 496925722, 251048109, 284180390, 374110179, 344612401, 619939668, 238602602, 1064359370, 422947153, 148075781, 270017995, 602621876, 834842594, 328723378, 103897111, 436343884, 853459595, 383256071, 99418551, 539042512, 615685484, 1022101266, 741390101, 530192222, 209567894, 227823314, 62684441, 976622160, 174402073, 707390183, 346280695, 808925440, 893228454, 253620289, 191906831, 429134598, 761815175, 989523554, 379205060, 221339842, 756205768, 605166180, 417841693, 416275889, 261070236, 941901384, 493009341, 612363994, 165511806, 966747885, 110946941, 606980225, 958756834, 924515862, 92178880, 66841563, 602597575, 115454197, 423443075, 655053097, 891580154, 93713508, 161382196, 386902053, 675492675, 4553018, 532690598, 385978091, 829894191, 413854551, 376914944, 197855687, 830503714, 237505819, 832686449, 853332718, 992765319, 628804750, 835589685, 841586947, 647601723, 728629359, 140519587, 569027687, 825879303, 313110100, 66776332, 691945010, 800739566, 218851151, 325403612, 28485096, 863942222, 930971929, 378551253, 453945121, 164375907, 891954251, 1032819343, 535810830, 112411836, 220039712, 201651980, 781799102, 377159875, 820474199, 961217119, 389232621, 57546090, 402733946, 275790844, 177943574, 440318831, 565221749, 1040155222, 755706921, 153810358, 82363940, 914305263, 604794794, 725320291, 923958970, 436285206, 561612386, 7126533, 396714329, 360072653, 113171406, 564656080, 1041188905, 725725184, 23961974, 375810966, 413545262, 480935721, 568439661, 706605521, 36611922, 230696109, 736375341, 117464616, 832936922, 834142421, 376100079, 1035824474, 1007734156, 851985572, 488652888, 988487146, 842103885, 790635983, 1019381065, 987544912, 990976477, 326636753, 399338984, 1063985405, 237169316, 755281187, 304127290, 430007862, 278966724, 432582598, 467680818, 137375378, 653431665, 834304708, 230244356, 28964455, 739087200, 559496944, 266406285, 84045465, 1002117564, 809918309, 437956002, 236730425, 591605307, 76759656, 129867817, 982924640, 868260527, 579140216, 431818871, 113652032, 371517979, 552695731, 720059913, 125200729, 967164648, 938339615, 37021914, 1001884750, 695562304, 416764246, 790769322, 1052120462, 448097568, 828070935, 65382746, 536028268, 323785304, 683470137, 383309701, 877253369, 570002316, 6790250, 726038569, 677803048, 903036068, 773779489, 313683728, 471512452, 422880615, 691907, 708427831, 327134232, 965570695, 686693671, 1054421540, 194669314, 361357558, 1065147245, 435421738, 238795126, 540213538, 17051051, 343011862, 953451355, 505159751, 561420102, 319966496, 930786562, 146479594, 299331034, 760168059, 317821011, 878499134, 973478129, 650860965, 830063396, 966710997, 550460370, 855752113, 427549887, 265290442, 112620706, 36767428, 374850495, 779788400, 494259562, 841185881, 743764698, 747674, 832022074, 936886842, 120548788, 837541636, 635174165, 57655769, 552672502, 570826418, 180148435, 494842216, 536013719, 838392264, 427197594, 191483401, 380232238, 279554346, 1042830446, 1015337701, 1024604636, 861893888, 705081429, 344171550, 1038171355, 458573562, 510035271, 1013956847, 834090959, 187747187, 718639321, 286036637, 256994752, 118594143, 602903779, 161171939, 311074753, 709168187, 863961593, 161194533, 242467248, 482414042, 630891830, 908615423, 596796111, 972276721, 1047128018, 363363272, 375948657, 1009152239, 595743598, 787338257, 790690056, 318913892, 1034529343, 212730556, 636768533, 398608779, 405634417, 968205734, 355277814, 984284665, 763886721, 166888405, 809200625, 516927454, 353390921, 180721270, 340498309, 109721269, 244945693, 716006865, 866586982, 344459283, 945047639, 654063631, 147371823, 957146445, 431318737, 391988638, 153556252, 617594024, 148813090, 107256398, 1071995417, 442802295, 611495254, 463302981, 52943170, 976720150, 80139266, 390422211, 1036374840, 504576525, 1062172694, 857203042, 445919798, 667564968, 732125669, 279443117, 493340681, 747575992, 1031520237, 251770250, 571064455, 605190797, 552691274, 659647106, 34251841, 634776538, 719462802, 45037721, 497371202, 58428984, 453953704, 693533248, 722638760, 932085123, 920119383, 663998955, 948761658, 375077790, 579486062, 493816435, 934878095, 797611639, 231390247, 473981652, 900144844, 763623648, 686171186, 35279576, 561146452, 508935793, 1014827316, 152267979, 917900038, 72542267, 801608457, 548037089, 813177494, 182191596, 311564891, 740289342, 452639448, 449511523, 310594320, 147904239, 284105152, 197452358, 436163895, 5861195, 39136217, 787853536, 526466313, 993780547, 100816064, 160123496, 1024110156, 274427622, 583448548, 493949986, 317840188, 141563332, 596599144, 335720152, 582333711, 655673494, 870932444, 853541963, 369169715, 229077452, 1020736543, 377177759, 563567303, 41887494, 150961450, 1069056544, 150246246, 392499771, 930974985, 1023619836, 815589391, 911188917, 145777395, 30518272, 711032531, 194892684, 516607891, 418267738, 415218691, 1052745810, 1021833507, 961937850, 505704587, 880005253, 380785253, 700878967, 791024902, 40845241, 363435109, 196714513, 1053656169, 856891806, 969986048, 765033148, 810740077, 298918121, 870782573, 810041628, 934664563, 125992237, 817237489, 1031832095, 292812487, 617856900, 251614149, 686965590, 573932482, 591812047, 664287602, 505411430, 71854191, 309541154, 915547031, 158696854, 452117787, 263731953, 753998009, 558183626, 259299421, 134911818, 504336056, 144185914, 853837926, 476331679, 1040643653, 72703126, 578114180, 56802108, 313302921, 114032172, 614709305, 42509000, 72214984, 574496143, 158827095, 356241158, 881074800, 984449520, 473104902, 491822800, 556578312, 451883836, 316918365, 19679541, 431320945, 26487862, 299128915, 488105485, 206988525, 435571553, 345281914, 347704153, 690594106, 865672781, 638300764, 627947187, 221153665, 347934452, 516947778, 19764178, 742105835, 508353622, 422243482, 1016390430, 94852554, 653567824, 588442848, 252176260, 732480598, 413212621, 675648972, 877967009, 1046294239, 463903240, 307759998, 1001944699, 662279206, 369479113, 731737077, 1039632164, 472310690, 204172085, 474014252, 757212647, 531222917, 643598721, 985425978, 835767530, 831613698, 852450897, 1052572347, 29177276, 333372541, 241944902, 243243390, 753996870, 417518753, 143561837, 1011574315, 515636596, 607882841, 643596466, 762134855, 837542669, 702290639, 426904592, 475554399, 702497102, 119752776, 285918032, 676359856, 211281789, 144317317, 466799496, 802563277, 316198051, 402252423, 307727082, 774535206, 46167086, 992807953, 1001100888, 28181670, 430935369, 860494710, 408552033, 133481094, 520446421, 38212941, 575723907, 248465375, 826150878, 505568357, 780780154, 485110410, 104074407, 514579726, 14183951, 443561798, 313651091, 958769160, 32392685, 110291223, 180108722, 205618263, 148202671, 798689288, 398326295, 411975584, 630020800, 207635003, 798251872, 1053099766, 100438897, 869876646, 541504355, 1017875458, 592440064, 194695462, 672849197, 1000222622, 924702856, 301586890, 664995055, 277964872, 538061704, 330228135, 1052554699, 722825111, 905281906, 141400273, 697712617, 1044757701, 974766676, 74862836, 655522352, 840484654, 746649145, 833356820, 989719986, 531772332, 218821060, 378037017, 315131344, 336700192, 234642015, 829048002, 188481328, 96249870, 78422970, 108141713, 977012166, 654591108, 193223113, 767137022, 642669778, 588214208, 43284821, 291160711, 500237252, 385549069, 883861578, 184553893, 119163488, 228300444, 634470684, 985969547, 161576649, 945567045, 612396570, 155711511, 232232367, 872184576, 795595488, 58528084, 727855198, 1013772266, 837854111, 339153604, 1017562027, 831013244, 821390030, 234133498, 1028771926, 22232492, 910031396, 414759189, 44485814, 210331741, 85010863, 488890313, 891837712, 456493982, 1011749625, 103075970, 523789463, 788961907, 184249930, 42332175, 546823475, 232646138, 907462578, 508972083, 163049364, 581437641, 308440486, 146083369, 609664198, 911343495, 891796294, 676846107, 563386134, 401801040, 67121770, 923176721, 922112939, 125421051, 35997731, 866217367, 710421383, 127259811, 520883527, 902760406, 700582518, 26054488, 212285362, 356866010, 930766348, 1008325273, 405003719, 918729022, 1040836300, 270099895, 197837607, 951515360, 316238598, 767768405, 991816931, 926740187, 486071164, 991255000, 354198137, 968730493, 254303493, 705838818, 257177277, 1018659992, 443999620, 110586053, 56791221, 342969924, 1004600650, 1003377714, 869812536, 58839209, 715220223, 492135046, 888385926, 1042376284, 243829969, 314029285, 994807186, 536029455, 258156700, 546623363, 214785579, 1027167626, 664623154, 138649618, 631799371, 380741191, 317888684, 21127547, 434866310, 662964845, 1070887623, 346746528, 875643210, 45714182, 253104286, 631325487, 84655248, 937272133, 732162501, 397163074, 468447255, 663237889, 307528162, 105971017, 694242010, 1066148655, 907294719, 449753220, 652643582, 454881915, 910353655, 340492980, 307913397, 537891816, 558510592, 770525160, 835497279, 1001753606, 518736973, 759664000, 273848005, 796447562, 769857023, 904076603, 5511039, 890664047, 395442410, 505314946, 173299311, 986540393, 966572439, 67833244, 389669820, 1065908877, 86586992, 954033922, 238311965, 639506217, 454042177, 424915343, 868304076, 14748518, 414496671, 870678012, 30199620, 290967328, 828250669, 352305372, 39176320, 581303722, 397023575, 926797771, 194763370, 818239393, 958292257, 905659430, 562714659, 273036716, 359775123, 846361482, 1014171633, 814007326, 899478639, 934832684, 1008479784, 810882505, 219325093, 405987300, 997273149, 637730996, 283950645, 662961478, 894853884, 69624945, 910357241, 1059588571, 1063820224, 71118592, 311283737, 695899873, 162473837, 335770829, 53484429, 197702375, 809122937, 479862356, 862444832, 589592617, 437671472, 386159991, 449224177, 390112915, 335120360, 303850879, 145135969, 238545396, 787769930, 788486867, 142775013, 284824215, 87130957, 986090402, 352114879, 635464344, 292838542, 135637521, 140859769, 608193523, 705543601, 1050856339, 743753698, 280037571, 828600841, 879714632, 922628308, 238531838, 493654699, 163455528, 724174811, 967760074, 89324275, 175114417, 709449939, 816092515, 164696945, 271779582, 1067353587, 467897194, 505127674, 436438394, 401340405, 128331018, 905301404, 410328281, 408586533, 775312843, 920523800, 698668190, 101328696, 1040643198, 869180347, 487276282, 980190805, 300529491, 248878557, 352702360, 547115426, 315732268, 781702772, 472911864, 896369980, 734441374, 943624272, 337219023, 222926468, 696399921, 18405170, 752559013, 530777889, 728313397, 59608679, 573555416, 238647461, 249912459, 983919478, 54813215, 872446914, 202591932, 1057389316, 876704908, 875404029, 251628766, 703953349, 427586943, 488009645, 719564545, 338332461, 602525173, 631936295, 434051925, 1015109556, 309185085, 959721173, 816766299, 433383450, 919862231, 979542042, 938147559, 771614265, 1004755433, 411995862, 1070564204, 1007822708, 920071377, 220319063, 831581382, 762342716, 103798583, 972089796, 1065870968, 541513505, 562899079, 882162761, 482757399, 887228540, 485359491, 614208960, 192685632, 12437200, 151066111, 815310191, 201936453, 52243368, 1011711601, 5931681, 31637884, 405931913, 875046080, 1058582307, 605331994, 485169969, 187699048, 566687902, 1005535774, 482333258, 283169798, 394739180, 285596742, 198413924, 547169735, 710789821, 697207775, 772193502, 753335412, 572392132, 165348259, 70615120, 513795675, 448710622, 350174722, 1038886302, 332095472, 734162614, 148545826, 157168990, 284550925, 661688468, 398039649, 797533079, 797403809, 902718683, 875168399, 653154301, 333552929, 140918512, 191053317, 662210337, 572749647, 211803681, 906751319, 685642352, 241740880, 823909543, 391595343, 72755285, 496201511, 53775947, 473326334, 478893740, 979388472, 495509079, 279437700, 13570991, 164651322, 22628912, 426126109, 615526754, 227084617, 630874610, 177704847, 255139735, 551029056, 2070340, 747531010, 1043311352, 201772116, 906199579, 100775679, 529944671, 93654990, 227672859, 133091935, 721198523, 25826850, 263224614, 833507060, 891985843, 730083228, 369111752, 570488310, 1071026688, 1002655281, 314154991, 360518024, 197125754, 765001294, 5066627, 619780297, 27206727, 254418521, 714010449, 371235097, 579895222, 636785370, 760607698, 817786251, 700194871, 33064491, 9034527, 907505358, 527657837, 855230685, 928670564, 480194430, 147036069, 894718400, 832184205, 283918095, 884790911, 38422578, 259134075, 827341648, 2678042, 372978187, 983670824, 129997425, 112153340, 340843021, 66414294, 798003709, 380165522, 331036984, 368014578, 158269107, 674349752, 37016992, 413155953, 611229019, 973036432, 748915769, 38176891, 912229205, 857212333, 750993950, 463042053, 184361282, 354379256, 660992849, 73436491, 260293281, 1034842971, 953773706, 11504782, 255695744, 403359573, 209967123, 754191232, 148030426, 546478598, 420146481, 764464181, 526752821, 855389325, 822444011, 369937989, 474129128, 451101391, 542821102, 432045303, 182001496, 330982737, 707022246, 125344579, 778419273, 423137793, 32692686, 220752882, 546699025, 549575629, 378256547, 512051291, 154921749, 547833487, 305444026, 530533074, 652549867, 793013930, 985842266, 330316958, 239319608, 487046221, 450410020, 377807659, 840531230, 341567906, 1028771966, 211109280, 257322536, 194914074, 845003423, 628885408, 1057601823, 418660878, 52515698, 729052032, 441309691, 888510351, 861200879, 850726449, 961969069, 535827368, 1051241999, 895557894, 316774881, 558987586, 1016821979, 709838066, 185144947, 659120384, 929306480, 589038774, 813087963, 414485260, 1069745496, 659358598, 73181648, 221465903, 1047322510, 254137676, 398550114, 920582498, 514866669, 820703560, 976622309, 1026993902, 644940946, 1015520347, 533945111, 1001251166, 198604965, 230376329, 363143171, 385826567, 557163733, 374850568, 81617364, 911683215, 476558471, 283585739, 55276638, 551151507, 190036996, 705536843, 220032146, 546607335, 935237824, 253327756, 565758216, 352856016, 419282560, 702810460, 145072051, 486192389, 776187010, 337216933, 457854590, 871752598, 843161423, 710270757, 760326651, 275238153, 982860277, 287617194, 1066310078, 551643901, 149546434, 982651065, 150257255, 153994941, 152147579, 625639182, 47701002, 650661957, 1043729121, 815755779, 1026019837, 758779767, 799214987, 361533518, 26003929, 318453545, 197824767, 544754155, 212991295, 805914076, 198832024, 789370325, 31502616, 436265388, 62238982, 437792789, 124558100, 1063173912, 26707209, 714642632, 49119016, 416438346, 572776629, 599040592, 1042371623, 13658076, 623345831, 373448425, 981977905, 806926097, 712051627, 59924935, 769206923, 303118232, 346283649, 118292910, 524635694, 331587593, 49089692, 885405915, 238533577, 599243578, 511184919, 890708408, 627294774, 120437860, 210002899, 1015346396, 1035822377, 781622358, 218876111, 916238144, 751933336, 282564000, 72402761, 899391883, 940529489, 199958909, 35173144, 395322798, 276478352, 1223389, 41306303, 1008097684, 63703188, 859158150, 609906436, 715987925, 359654981, 219699678, 399833033, 558494470, 583322121, 851125596, 371145692, 154695210, 1011379086, 520001232, 920857780, 928739334, 543692493, 1044018153, 134947637, 948298290, 878896009, 267788464, 906055591, 762603512, 253221262, 986133054, 835622468, 366438043, 776694340, 24062322, 406992796, 309234930, 699528355, 74339927, 103568681, 335200563, 482681620, 942042148, 735174080, 215229300, 590428073, 754940664, 466520929, 173577994, 219405644, 462892796, 840294251, 894827640, 421608954, 565462344, 399868105, 243031533, 1062369551, 37399906, 769095191, 582262667, 993734093, 222486796, 750769530, 529350538, 505772854, 832930952, 991893491, 1061008825, 375565658, 197434438, 125150565, 303159296, 829409071, 1071183717, 854363193, 589641293, 96224487, 933757120, 800106783, 110856163, 100179961, 762932363, 878447968, 797893529, 156731276, 55527757, 45273696, 1036569663, 814058163, 852492407, 1009346890, 869847664, 212637642, 1033186231, 358439830, 310097742, 780125629, 163603047, 429202832, 849476, 171513808, 350862339, 435671249, 937523732, 612670733, 654215872, 772543902, 450668385, 459540300, 912897318, 790297701, 417903997, 949228037, 65792684, 553026618, 986470182, 658698128, 760718263, 22082182, 479959339, 37559422, 557866975, 659197929, 685782230, 175012352, 755627667, 921619710, 413413926, 238819755, 90557150, 604542378, 726498984, 291789702, 253783225, 345843938, 150639423, 56666481, 516588437, 448706440, 615760164, 496126145, 782624691, 72113896, 68310232, 994950477, 940182523, 873154189, 342962724, 699351077, 178714612, 784894950, 285507882, 1018170540, 740916953, 307808834, 945234050, 601256792, 209861172, 261820967, 382943628, 471530877, 1071605980, 823050706, 72328250, 209815492, 397584975, 439694545, 415116240, 786578971, 494243065, 120425282, 976711999, 123615802, 153349457, 452684480, 370925348, 796561894, 964324609, 730518111, 629820694, 125094194, 241457930, 437990165, 847450694, 735506110, 606419871, 555338441, 12261842, 678767587, 859009719, 77836264, 87692133, 195661858, 660789915, 1007176664, 64373220, 665909094, 1006744190, 347156128, 694182608, 986933207, 359644288, 261036659, 465793793, 414612792, 100795438, 800678261, 25089610, 542189547, 680308616, 149631986, 864499798, 42046985, 258813489, 52201486, 1058042900, 240774435, 876788333, 35130845, 1057581546, 408334016, 10788716, 464863049, 149865170, 10637569, 789259767, 594185915, 494197015, 656465196, 488614183, 900434515, 352369788, 134269995, 445043359, 910222273, 943497132, 233624495, 679997216, 469477936, 1050340144, 393867143, 1002531241, 300755333, 407399748, 222144222, 391100324, 910965073, 518638729, 90561925, 1042415816, 460603211, 1071258029, 786996267, 803916941, 516342050, 11590402, 758745328, 729597660, 591618220, 317783466, 666719782, 108410772, 585290352, 890752668, 880441787, 957040682, 922826181, 97358075, 589953345, 25315590, 60284322, 433540309, 294676546, 347345207, 1023492137, 53234569, 236564399, 117504736, 535940824, 1067654646, 421557321, 454525551, 712616672, 536040254, 117293886, 159170152, 976997757, 86647249, 315030182, 301917913, 579749451, 467265721, 747438766, 940874715, 64627620, 992018881, 447361379, 379691742, 981226266, 1072362503, 254569641, 492987975, 307211762, 581011347, 963341009, 303516927, 532326694, 243936395, 584531162, 912814509, 193996852, 147969090, 582285246, 778287710, 139125647, 503077500, 644261284, 4974267, 316313150, 1034959909, 1040836961, 621238535, 336168340, 331658259, 311741352, 674045794, 577619266, 661840999, 505759786, 564644289, 523161700, 566343684, 189319056, 108788225, 609293885, 405403816, 260440280, 993789616, 1057556740, 547640597, 711869800, 833495257, 384485955, 461698750, 275329698, 764147752, 203702886, 137327222, 217844542, 994603339, 56230102, 29791438, 731943737, 30599845, 1034452088, 465590320, 498623735, 275719927, 711729662, 73697704, 989088162, 140421944, 472595510, 351142141, 115239834, 91267623, 170146613, 830909279, 213158605, 399056339, 539252042, 976824952, 654808142, 120328750, 117362001, 132494840, 939298836, 764503828, 285161312, 134410621, 759735328, 859026107, 140785530, 305185724, 747104614, 295425177, 828401935, 509631594, 776649527, 524331988, 804787196, 72180621, 901346804, 910977573, 1028501924, 974595195, 605186522, 806946139, 385097051, 937283338, 348207866, 364906940, 954139634, 827081231, 239691290, 782699209, 284991473, 262113861, 905085489, 567147930, 618864917, 744050163, 570262649, 993503227, 958823894, 560249390, 531867942, 415253112, 160549350, 925335025, 1069882713, 161206448, 444005726, 384122668, 810073711, 753975241, 413776228, 594554146, 833566527, 767030808, 489064200, 663395720, 444766766, 891967683, 472529847, 73378035, 575931535, 806905811, 720944357, 381731882, 694742987, 675802515, 400510130, 314320576, 490258390, 1051341949, 297553895, 706898014, 746605801, 821847725, 101731807, 405326048, 671365257, 606612793, 886371815, 320492679, 791109290, 191945672, 87168442, 917102072, 380463416, 533980024, 56638564, 154207087, 1010409848, 187602132, 44275032, 1040026058, 698613259, 800251144, 126525903, 739708075, 352201109, 1026359509, 564214781, 875463077, 110474102, 435694109, 579182063, 642562294, 18074431, 265704257, 219502960, 402774781, 495070774, 205207920, 906131922, 463680945, 951538472, 592844488, 467067336, 1009045257, 730270015, 471703028, 717998337, 314074892, 493961855, 852329576, 424013761, 993053708, 806379957, 133703211, 13943245, 779411609, 113601979, 303702614, 399148864, 822405183, 1058105377, 931933920, 1060816433, 88819733, 742289170, 983378090, 428171319, 563243688, 852500955, 864301277, 442018463, 330067249, 123177845, 161962672, 792948427, 883996822, 220512355, 886253814, 516070357, 1069315928, 800221151, 780802381, 524835089, 632652794, 4536279, 530339806, 731402980, 1022422474, 776193598, 592575528, 985589973, 1067997763, 908406459, 603727159, 991543602, 75864339, 1044268895, 550922903, 520753059, 342607513, 58026977, 445293910, 58955024, 679811207, 120854883, 1043135685, 585145338, 22014792, 873564061, 522372355, 948131790, 777555550, 62334392, 69203851, 1035130397, 700368046, 560708556, 1049579376, 825140922, 558451556, 1052123233, 882424167, 172543858, 94532851, 14211260, 296606618, 719957611, 410905327, 784188306, 604286569, 601461384, 485146977, 778589864, 824337388, 1000230068, 556208239, 670667610, 389221680, 291146978, 620036982, 996986459, 543435013, 418927236, 502895524, 507230624, 947287987, 673130422, 379618670, 614687004, 782334903, 441123586, 920575407, 395125533, 623294637, 791069636, 142828553, 934695853, 785798151, 626979703, 191144450, 906166484, 958438768, 493658572, 565855880, 349667101, 113745331, 91106279, 316963673, 911702159, 510792114, 237381784, 59298534, 616829639, 810306542, 518732494, 848113824, 232294308, 781820574, 169698342, 83893607, 31895930, 67251627, 367963951, 711617542, 107445862, 560665750, 802947765, 592645045, 1037161133, 192135058, 763544502, 788885999, 580683539, 318662000, 309614278, 266518733, 510194341, 886854624, 631863607, 115977148, 91180928, 391290226, 1036239236, 571251992, 329354165, 619774525, 909389912, 114956114, 833813516, 583764952, 757467818, 660316585, 787688426, 380287750, 756323700, 383076411, 756513322, 50749030, 751405003, 127827240, 742693702, 565284424, 748148838, 944421303, 33680633, 1017446137, 387102260, 621054109, 644124951, 257523976, 253504894, 506243803, 269811912, 160808321, 552318204, 60335171, 56615934, 693464892, 922539980, 554456661, 992095432, 528411446, 995972211, 711552346, 1056329725, 555892003, 362017207, 361390181, 112470316, 927546827, 807337710, 719974044, 1068920540, 390318441, 543550033, 237653811, 611763670, 97697260, 335761096, 619120784, 763095442, 203836594, 642818123, 755242996, 497699123, 901892023, 44398937, 1016626768, 7833543, 192892991, 201607698, 830654512, 460334375, 205221599, 605991199, 585047497, 376497701, 826944353, 671135124, 428789152, 493994937, 454326162, 468361835, 225246993, 349311292, 59057256, 627068661, 273253329, 482234822, 1041166898, 345129980, 640184430, 455119604, 1033470921, 400769039, 717089189, 8376226, 204823351, 753378238, 207387405, 506230710, 437832539, 785680781, 497930890, 483471133, 170724850, 315019767, 859721794, 650179448, 342908940, 185046201, 249842547, 88275411, 263628419, 571933730, 945568435, 134059755, 817976228, 218011458, 310075223, 271424049, 54669720, 402432623, 127912111, 268949390, 131473616, 763421038, 860193148, 1001730333, 626894460, 528332726, 611374125, 680884774, 932247604, 873828711, 241298722, 1031002542, 875777469, 395219310, 356434994, 1056002006, 430416328, 494561486, 695907620, 792805246, 311876451, 60822160, 125139950, 237123814, 141860564, 227702645, 861982049, 1009314484, 544025600, 234806741, 280629259, 972812212, 227017969, 225623913, 948783589, 673472252, 965025771, 327420264, 378924910, 1040644369, 549595007, 156517495, 498959591, 668450896, 848994976, 46907847, 317847646, 610944128, 478088407, 261609360, 727153170, 52759053, 723476359, 267704950, 678703806, 859808616, 402867758, 625660899, 171173848, 1071132262, 693261682, 688642616, 170557052, 590234388, 1039451504, 630423361, 456602765, 989429543, 924940901, 950687408, 404935341, 131931454, 940888611, 748472693, 540633325, 974878519, 415131749, 433213688, 996823897, 304139543, 386318403, 598920309, 140213339, 837123518, 19358043, 360345977, 803603389, 217154579, 618811588, 747849301, 421366656, 823295238, 823081978, 965045262, 248384560, 187507068, 46651203, 332785455, 975343189, 83915675, 839710009, 695774371, 415345832, 517255532, 150540325, 370924611, 413800326, 19874824, 206710088, 772311333, 867369118, 740332429, 147117273, 1035325155, 753252255, 876605400, 658967055, 381664275, 466968822, 350977781, 854904824, 196300392, 549175248, 470576906, 325270971, 672131968, 590047136, 259997118, 307971343, 832961205, 625808339, 905860264, 151442926, 572648982, 53503115, 434070885, 404889074, 485457330, 596468617, 78214678, 876430134, 794479038, 481151494, 473108021, 236263948, 199616013, 447032976, 223777927, 572005008, 653217132, 1010288988, 869573484, 704970461, 818405085, 433566039, 594440527, 885955736, 222256955, 869582374, 235376066, 607420802, 263258084, 175588177, 520316560, 938175194, 1028586083, 998681840, 271374321, 474592828, 503716708, 489363200, 780428625, 5672396, 132070386, 457924924, 960325510, 135463414, 245615223, 718118547, 876873115, 1016787369, 613568447, 113029916, 896374144, 479028531, 708201314, 691849648, 677678889, 837395662, 791146910, 474836478, 288279130, 637229913, 886595437, 153941152, 174998677, 86985216, 448582769, 809665338, 1066930966, 313476803, 674176097, 996677851, 357880082, 486631701, 85190079, 826545627, 587109831, 1040531833, 328262526, 357218169, 75573932, 566903491, 443862183, 287084426, 536454478, 927848444, 140118613, 209652966, 435844795, 752452822, 801465433, 995848952, 939047927, 565154435, 55339573, 592849354, 298949382, 776525767, 813980425, 249508212, 1052269954, 928799861, 103505380, 592335482, 214653354, 156230937, 200261570, 477573428, 611220086, 374397462, 514232938, 725276914, 606343406, 1002365090, 805256345, 793793110, 579413579, 103430185, 583315070, 740298447, 81303254, 626235189, 1057255156, 1062949094, 162288551, 884700988, 61178157, 937466995, 326030287, 691808220, 891268075, 341115581, 141525022, 1034438071, 332767653, 394272414, 120943638, 126490342, 889719011, 217089928, 183350042, 626537082, 772042302, 802518664, 63283966, 915182449, 345459005, 349902245, 362239084, 964878127, 30386365, 648972270, 416333378, 304260663, 73659296, 626760357, 833054867, 880271726, 394571585, 878447577, 308187747, 963202397, 828588259, 750858582, 598432670, 671631051, 218884843, 740083692, 84158719, 946528852, 730383437, 1022995725, 180880128, 57512887, 1003774462, 1071974544, 504147964, 903382667, 812874220, 848416764, 762847579, 359516541, 1002308756, 354631869, 940944501, 451315743, 530091434, 1064636773, 55712741, 718811481, 1014701022, 945051323, 254107758, 521152603, 898952072, 458100506, 724701605, 202415647, 406767313, 906158378, 248912892, 554353380, 266917741, 744151490, 144535458, 463299876, 109453581, 324373069, 32067820, 692173320, 988258683, 165734163, 993026032, 565170184, 95551209, 272684489, 581998718, 66467619, 824807786, 495453021, 154752132, 882103808, 994954369, 220551451, 855137256, 386860648, 520472324, 112313152, 492672112, 359855382, 698772831, 364798365, 1006015968, 15326054, 384621567, 966771491, 395746429, 72360645, 764040586, 530007969, 782662096, 604375044, 469809263, 378903539, 842432839, 34185590, 586725232, 957977829, 708360964, 69377608, 446731421, 544070111, 1013677843, 812977824, 68051506, 15814350, 36955104, 854463344, 250087269, 978601501, 537492433, 714089744, 895872324, 204980536, 719168294, 90175682, 253892688, 726357765, 33438655, 828667523, 859071997, 170932421, 237116764, 948591868, 234461232, 1013943678, 663745847, 298602829, 405994852, 1062512283, 896829213, 705759759, 414398017, 5963037, 769030202, 251549732, 369228480, 627997658, 337566986, 656998959, 58237207, 110206311, 52630664, 103145353, 145914668, 335821359, 996404278, 515171184, 364730756, 877572919, 387544664, 887957229, 339626002, 631080, 210036255, 343014281, 734670102, 449406451, 99947123, 462081881, 638893081, 23531489, 92466314, 967688654, 860853601, 652397406, 482431230, 399481837, 183819233, 53162006, 714502528, 357112385, 240793456, 678053840, 627578341, 94485541, 758506690, 720360790, 6019194, 329400569, 183122182, 765185972, 120138004, 867944952, 64283285, 840933976, 100900302, 721453940, 837461578, 798048410, 720189143, 889908079, 899614570, 920301683, 121234638, 259764991, 52396314, 633902820, 719028480, 281443082, 477599454, 338647344, 568455526, 883831180, 567706630, 699052832, 230157137, 740262422, 845105935, 939465664, 444142797, 33011348, 700089139, 445484859, 887289278, 1029184455, 618420573, 1029541845, 191552914, 808088991, 423051592, 278433344, 670003107, 1005241591, 378968187, 567415604, 241107238, 86897075, 116211792, 902921991, 418996294, 958635691, 888988264, 543093100, 920566244, 338744100, 917809288, 685446946, 969151678, 382107140, 557766864, 68733914, 274454950, 975182622, 437709043, 654313449, 627510710, 388301108, 520034834, 411906912, 272679519, 465143792, 618400395, 413264313, 356211113, 261366293, 1069810049, 474837709, 756037608, 494713880, 214641497, 235932272, 274459867, 851884242, 152972361, 878891612, 1000682361, 755632721, 1005430611, 286902080, 506796276, 506774265, 357449362, 951560849, 348769855, 236159692, 709419954, 881269476, 1053192666, 518130139, 860211617, 418637034, 534622779, 242422205, 875192187, 647492679, 929715395, 755164346, 309662374, 591920408, 1031092197, 254667114, 555875212, 741814448, 242711586, 666020229, 136027568, 553486993, 7470782, 409135519, 1039042427, 946875008, 149530851, 1031218235, 90580128, 634645498, 309302959, 172098637, 700018224, 824732388, 8396710, 43610353, 430725329, 1037034495, 979432581, 559662653, 214285258, 580660198, 727509839, 960018934, 462682382, 838274248, 68917988, 630006517, 764462078, 147600054, 328704697, 903721475, 495764828, 630219124, 1072475918, 899474981, 274894311, 726812031, 2693847, 940215186, 519779449, 891704519, 864177557, 753652475, 896902370, 133465810, 545604738, 742332570, 1009096244, 25805174, 542389492, 637571177, 119552494, 1005371215, 308034197, 953233538, 981917013, 427956933, 746345127, 873287297, 71018823, 841952427, 582703579, 673592050, 335956432, 958402427, 299155309, 314082475, 417947519, 301330664, 1010283210, 243298941, 233598171, 123153167, 43606689, 984644254, 513558060, 817571151, 407183834, 560985968, 876989196, 653055648, 808193728, 303441126, 830376056, 750330478, 846323192, 157744395, 149443269, 804657523, 500926440, 393803766, 1054560626, 746856136, 539101528, 177000528, 294551203, 1035650893, 551964741, 501014546, 311297216, 867238636, 340937665, 125173631, 482982234, 171844854, 312871023, 770928851, 590784696, 552558080, 810194609, 874663818, 992755843, 701627572, 648191156, 738003375, 222651710, 330123356, 220121272, 378727718, 199676068, 283050131, 15797165, 508158432, 320608402, 310586193, 1010901440, 975752324, 285963627, 280746377, 177507331, 243676309, 45776072, 982678882, 769020413, 437170697, 723403536, 188131519, 980258412, 631120541, 1062892791, 440231375, 261003089, 162069378, 321735582, 278652484, 978696593, 508741413, 1043802016, 763638573, 812353771, 579815459, 369719786, 622107142, 814205027, 236753329, 587265393, 919774709, 600818323, 549735139, 267926799, 432902343, 83834934, 504279561, 661961670, 400338788, 673971733, 387702092, 223696863, 107358250, 319153456, 638962282, 882796530, 281265671, 498802272, 88368725, 754336033, 694143132, 211865376, 414029372, 893678559, 779382268, 578228551, 630742020, 235339957, 340088336, 361002296, 185209970, 513134859, 274248040, 83355473, 552140937, 5180615, 918245306, 122365536, 686154808, 752599251, 613955332, 816851045, 733490018, 907117366, 194592845, 912322377, 112591774, 156595923, 607497235, 648414769, 1060411399, 42031895, 671167181, 992104004, 365582525, 350030756, 102349002, 148699330, 551829740, 607008763, 615030045, 464632303, 822595773, 903553630, 718270756, 739594117, 371835974, 775450576, 272134113, 10091268, 52126544, 786176869, 38188572, 241656394, 429667248, 30465230, 759848438, 20227096, 863810526, 849536354, 561408591, 724930245, 853330341, 84053245, 28016281, 757681523, 956421500, 1058582300, 1014496187, 917025658, 500251010, 253019012, 157935252, 718197192, 313470800, 384175987, 116986965, 792107937, 940104248, 82668239, 32481117, 605988389, 131453458, 941969185, 691468746, 552938557, 150736972, 1064624841, 198353280, 313640630, 160487282, 429174649, 862761563, 963622502, 950173739, 208256298, 237445767, 528227403, 182645368, 129540668, 429503170, 425143284, 215361246, 81424977, 754556246, 560370375, 924963622, 751490342, 1056542068, 489432940, 359745096, 506298936, 787652043, 37680881, 758708228, 96539479, 579110793, 36491479, 161648186, 190972709, 40910852, 201205317, 638432079, 546952844, 996670241, 535650203, 681379992, 55940457, 545778317, 303391116, 38303350, 153863996, 247082312, 946792409, 963680232, 620487649, 666063321, 1059458288, 561443130, 302002469, 926286157, 445701144, 793666003, 406076508, 777351127, 622558349, 913873386, 163383189, 994225770, 680619060, 233306807, 950188172, 641127517, 495987659, 397124745, 1016619706, 626035878, 690929540, 649664056, 833825782, 749114353, 624638950, 269316960, 526921090, 462019615, 306857218, 801981912, 264698871, 898297040, 428846971, 543631267, 983679911, 892207684, 239729488, 732604626, 85091568, 858752293, 85067850, 472400446, 604043346, 558315511, 40567513, 67059541, 982765376, 1067076948, 902288218, 19976945, 30322131, 857557184, 473343454, 781898418, 890978452, 1025734508, 187090139, 312502776, 666571545, 378089002, 245355941, 388284089, 440649434, 467144991, 192830641, 664504126, 430450891, 671717398, 1029635313, 908797272, 834148055, 981451941, 755257081, 902424683, 234832571, 654657356, 133485558, 734679045, 844075008, 37979483, 36378069, 549848653, 1038658320, 466325627, 821762480, 1039512031, 448074276, 578360254, 621451848, 1016426143, 175289279, 690099298, 156698102, 311424043, 108865720, 766863814, 1003502039, 223149215, 363597756, 479273715, 545454530, 330513015, 239194353, 803366181, 676054863, 563128429, 1013264669, 84371154, 917125801, 4093259, 664777118, 34421232, 216052394, 527860170, 26409896, 62648860, 135710125, 966361837, 382827860, 410596573, 785711813, 290238090, 189995757, 38855159, 429574931, 307525309, 915802946, 214715241, 441604158, 898773787, 510900785, 683599274, 796682226, 792444941, 186291456, 634037251, 652536601, 229184793, 693206273, 452246074, 198172451, 629290137, 921337895, 494513104, 534867857, 31689619, 361263055, 41197239, 401661997, 229383959, 762773696, 630199383, 702311714, 1046240557, 608016020, 198145354, 313093063, 757471337, 829306874, 105238881, 698126494, 999395857, 953006314, 182836696, 563343357, 902736737, 614417993, 373494974, 736347707, 793913956, 331197144, 629514414, 861118968, 385714296, 322623386, 1006426903, 670292760, 239323984, 57629244, 842946961, 571742297, 593894017, 1018124457, 1020622767, 662244489, 129985994, 36805790, 86458488, 204601071, 56065441, 1009683765, 966659417, 315767703, 766195429, 845923519, 106117072, 668035245, 365055266, 441065690, 492904652, 942496253, 383200998, 157545817, 108389093, 666895612, 171598803, 815735352, 684670995, 544552528, 361341008, 518866552, 76381171, 684842394, 484459924, 564730078, 1019307244, 886403906, 785686967, 317683974, 599748514, 362335250, 219606460, 142166549, 151086394, 574060715, 324984640, 75921375, 534810194, 234391380, 212587888, 678218139, 573525656, 1044463863, 918842443, 738873110, 53959534, 367673016, 867792713, 79838443, 78084733, 945405761, 13948422, 932918509, 418706368, 969828536, 527037367, 982499369, 965631728, 702733162, 63930742, 892700573, 954639316, 41046052, 1058681719, 1065268228, 705724576, 42197335, 234506703, 494259735, 969129632, 497840161, 650698890, 239849361, 436456156, 1022026566, 177857586, 778429761, 1070389256, 356513959, 1027546016, 205804329, 199831138, 535345770, 234780014, 301775659, 139882696, 678224389, 201333386, 454809804, 774362987, 542113861, 406719203, 1066425117, 438516570, 1046378503, 246620816, 834957560, 975457124, 658296616, 320057333, 760365863, 77031048, 186955453, 943099545, 968690783, 924493642, 773277327, 398549474, 145403228, 560438074, 67996026, 1071987866, 959076839, 968305751, 138594545, 614102088, 648898738, 501280659, 651578238, 1007736367, 595535276, 521263438, 131780271, 854871005, 206759571, 771718655, 854299787, 327861211, 56548703, 9146970, 226323046, 533746934, 312836487, 702831783, 826047977, 255337705, 330732655, 318307526, 956171867, 860008659, 328104570, 711495712, 530043803, 247945814, 419954800, 933488601, 690904570, 1052655567, 409171858, 336003791, 1066765079, 626991148, 618611524, 449584921, 634760308, 761993946, 887358741, 47902453, 551330222, 402692417, 863766000, 854678748, 586205993, 600705821, 103796304, 710302700, 623154156, 281019071, 229467910, 1020810110, 839900764, 149506685, 557110511, 105390723, 512005150, 896123531, 222750422, 189484876, 1019398854, 964817595, 161282439, 834660818, 801817252, 116378347, 601431236, 409004621, 301485015, 20358452, 9887535, 1006415899, 543849535, 772954988, 410152693, 207832367, 784665230, 626808266, 493712663, 501450658, 325555406, 175008410, 469260831, 607661579, 439156954, 769495930, 546781297, 1055662068, 1069972329, 963741981, 396362716, 324281896, 242807733, 527419076, 316670244, 297335470, 400648188, 268078999, 90786825, 348412765, 963688339, 99014827, 251179333, 164176315, 974620989, 232906173, 835882979, 248820773, 1027290864, 682980462, 969508227, 740665346, 305095213, 789158004, 169765501, 989176975, 32397970, 689182091, 1000045562, 90805514, 148761469, 719920408, 755346365, 341806801, 4183457, 112172980, 947763423, 137976275, 854598487, 1069809914, 670502526, 653693938, 1016560216, 236982110, 30171166, 834705206, 725551097, 900441840, 695366629, 124918041, 76540000, 181370765, 1010019727, 20824369, 363090242, 905519008, 683405443, 670620638, 299757881, 251338244, 886538107, 339468952, 491386706, 934990446, 592215695, 994845377, 952141221, 807896028, 1054597879, 764781289, 54860584, 947463479, 273933622, 384982143, 426041183, 142881750, 930054072, 198714909, 321642842, 177799917, 1003713935, 109936950, 213106830, 280498252, 911684605, 381596998, 175987406, 852481073, 426979728, 504134542, 313576715, 762661558, 429607896, 565370098, 666408651, 662345537, 496320921, 284758041, 213279954, 559565069, 27379839, 109225147, 477216206, 964287126, 970652377, 2419387, 1039531830, 989001175, 527878780, 905499865, 783418707, 289047561, 851223203, 359290304, 144484000, 543775903, 394317815, 9553493, 853364138, 300088787, 951654381, 124111922, 927149, 56700511, 548004627, 20534067, 518097695, 313667301, 126426763, 66083265, 233903660, 369951351, 248013418, 725204445, 27459106, 865638083, 573944515, 236416565, 184227824, 23926002, 975082080, 501250730, 824971311, 201624053, 915342969, 1016723522, 771107910, 574949471, 609605864, 529518182, 1069134592, 899711218, 945478233, 919826323, 266961779, 1019892694, 71208000, 490109035, 926868481, 342002752, 276738301, 520344102, 625265909, 683830106, 578681087, 785645177, 680994146, 834991711, 394163439, 520818066, 449300572, 246791225, 698774871, 883530278, 9719319, 566045635, 329534524, 830255692, 235797476, 471859033, 1007543576, 909383423, 974168027, 1014144075, 300528514, 361009503, 247074474, 661286375, 921785714, 852377169, 575700380, 866583297, 737792339, 423220444, 1065727385, 1061315889, 800751913, 68431580, 888758403, 1051920585, 74006012, 281891640, 829954192, 981503564, 234782811, 248143201, 619538970, 921619280, 295102880, 116563630, 252707771, 121700672, 6632270, 427516856, 756835109, 812630985, 350436523, 407947811, 532948998, 509467576, 521943053, 130015502, 110474897, 960919682, 861030014, 137067831, 731962856, 351917048, 18097897, 1041349313, 319794648, 524080280, 176138381, 271506132, 221947551, 478794712, 34111541, 938061508, 205635237, 385488486, 720139959, 586473440, 680483110, 557850654, 984400182, 607747514, 943192580, 931914241, 278381473, 671570255, 245079440, 200406124, 1020847868, 1018265439, 375505223, 222686639, 148465814, 885084754, 100890167, 1018681514, 810549917, 530443492, 453525224, 177904269, 53390913, 920488031, 899851369, 312268510, 50786200, 220154516, 906900107, 451661724, 734345485, 699454668, 884497776, 614041443, 56340977, 530998125, 898186176, 73682274, 957148119, 436978890, 815216248, 46268792, 103246123, 447636278, 659403864, 59526436, 126875225, 266907634, 653994336, 865822564, 166019272, 840462566, 201871970, 311343112, 706816477, 518233435, 573189389, 358776129, 380742902, 470431666, 167482446, 109861851, 947750644, 73423969, 204539710, 366851423, 964747724, 209981414, 536544357, 690305806, 829497727, 685221946, 607984157, 576553730, 503039856, 1040695921, 194301569, 477954165, 133565116, 1042815498, 526801926, 785395976, 504073839, 943246346, 28186063, 83101792, 743215394, 688582841, 712617204, 963857892, 391101444, 68542787, 931545471, 834027678, 796278884, 22153845, 944510753, 227396943, 788750637, 66811944, 129266482, 1004095690, 637951951, 926412230, 1012136871, 321207481, 483842080, 650192242, 164250723, 974285402, 140287029, 95338541, 417081856, 589591666, 121607378, 307079342, 1009479000, 271170574, 724668017, 4232323, 55176080, 345512037, 977997077, 819038377, 1065822388, 535989421, 958261310, 97649460, 1039713437, 1021807128, 586811511, 94891547, 963915555, 1003648659, 357557790, 269639190, 63427562, 556707684, 309875980, 271963948, 683650025, 94645900, 15835644, 237622973, 620615991, 863960948, 525940998, 150151109, 443414649, 848944838, 508228697, 448601798, 854206503, 273180858, 1043074994, 593331467, 999561014, 680654306, 753831943, 591149201, 31331638, 427904760, 4020928, 433946799, 609613766, 809410092, 232886355, 44068911, 997127586, 938958074, 720555826, 304726670, 399603553, 139503702, 1043813140, 1045146955, 489779220, 915672680, 1070016879, 798652801, 299372805, 1022288029, 149658238, 735090562, 905669743, 1006767436, 177383781, 688726819, 540361884, 502741573, 65425313, 796172421, 10799219, 354677913, 628632090, 286052134, 359642272, 579938899, 534525833, 948178348, 590783340, 404837589, 270141650, 808046900, 279572094, 214362240, 987304692, 665013719, 958562997, 72936482, 791148364, 620031002, 958369743, 397555555, 107685135, 1024450227, 1016694218, 899904081, 1001245610, 653668158, 725223799, 536321131, 418790689, 326278700, 877923152, 285920256, 827050710, 929553600, 694929791, 472054499, 261291260, 1003529514, 895867224, 1028872928, 852780783, 312216488, 122981693, 112376483, 278342944, 272674656, 374524482, 673787617, 1035641046, 217661109, 75006646, 774632493, 789443485, 399891222, 862612786, 576723016, 259617031, 75107939, 180348643, 262034285, 738543244, 518604780, 239925934, 795157501, 418854596, 13689288, 913672901, 606802545, 789151342, 986716686, 1011498894, 1064602674, 683746121, 546775224, 23650444, 997914231, 510024794, 185230144, 814533192, 457183280, 995049112, 797263489, 859044909, 588531921, 981794502, 1003309223, 1040513486, 503582516, 951469085, 838236812, 430260787, 948786303, 536039859, 760677866, 260583965, 731763840, 592578147, 544865036, 800978938, 692559539, 874198510, 747553204, 163621713, 1038568007, 418044074, 216243078, 1015935748, 3085168, 680315822, 925615648, 846610991, 898379924, 823269137, 727150166, 710155392, 439125917, 242965133, 424809084, 733762341, 108158298, 535905679, 979422669, 478539987, 457407373, 856449584, 360892076, 654199500, 746597243, 538208357, 249656760, 203405178, 233071898, 947603758, 1007572069, 122537712, 1046810174, 360511137, 247915723, 298321339, 133152697, 803799944, 192649539, 974095561, 426604613, 1010268897, 307597813, 976002522, 877679984, 669134217, 317783455, 615748050, 664472032, 883367745, 648584609, 705017650, 169315810, 25900180, 80994109, 818407192, 1041195388, 837753058, 371031537, 1031451952, 749385250, 833859392, 454497335, 902832265, 730948026, 419386329, 254148645, 811978189, 617282432, 826964452, 1034398539, 277886256, 580074323, 402714439, 960707126, 762809311, 242571554, 386009801, 672296587, 1003734615, 1046735796, 492441778, 505237800, 272365427, 9567670, 271172399, 195345774, 800603270, 606811255, 146510900, 973052628, 153051167, 725425520, 875499501, 942519780, 447514110, 533853602, 323771876, 875876580, 198944055, 1035714966, 701852314, 130911184, 775780089, 557396161, 928210362, 2125054, 313986774, 81882562, 987422273, 263235816, 268749991, 361259553, 267080546, 2468042, 375182148, 226315846, 9661557, 478293608, 897047090, 166084635, 966852219, 1049581828, 666352866, 123364737, 354215363, 469889582, 855699123, 168465034, 914547098, 336738744, 119660309, 687079375, 666123670, 761956394, 477964493, 1041107562, 669157317, 748803144, 444050621, 441424383, 316693183, 281094527, 621575259, 74624821, 565923705, 94338843, 746208523, 987924063, 302208809, 695344535, 96480606, 48874786, 65302955, 771411330, 853279536, 761092155, 280574295, 319838255, 115361157, 404027543, 724776217, 997970680, 680010252, 845808914, 921356507, 682484417, 1016164857, 236476622, 163647261, 602306416, 74964083, 637316719, 747460077, 490061960, 769888590, 79735283, 517770821, 371591596, 570718812, 749164109, 873958360, 831062619, 471132191, 749093958, 190213616, 34968713, 1027444291, 444542704, 687114151, 493786675, 303830933, 543101340, 473584562, 983707665, 1018367518, 568027546, 1027342644, 1057434147, 964570440, 420759969, 202195687, 124013270, 411304813, 355161743, 898267902, 656220620, 688413648, 119406374, 281728146, 683531839, 52224418, 806876347, 77339042, 641008059, 1061231788, 165256508, 996849594, 536880808, 903854736, 39314968, 104444986, 455093866, 65059476, 984487402, 650891104, 573304576, 612532069, 170234525, 143150783, 5326910, 504778118, 172593297, 686935024, 861397627, 396990609, 150321580, 421651625, 83658532, 225801511, 522386632, 403832624, 989184473, 653955041, 147237498, 766465786, 647638385, 960468876, 29689355, 825002076, 944803863, 456725258, 1045402003, 617842816, 1024435809, 585360789, 209352534, 765868622, 48750647, 93551131, 322428968, 149373316, 223703836, 47504762, 867451824, 829241067, 194096351, 522537070, 205015198, 261980447, 902115622, 280211767, 293704056, 858971477, 204678196, 3123329, 479596589, 718697947, 306284827, 781766223, 34765787, 863926253, 569559681, 436864808, 692822038, 42846224, 90815670, 208504777, 751961539, 829934179, 276798407, 82737351, 394441059, 39702539, 960886233, 649252524, 112312681, 203213609, 33554796, 770873002, 629759623, 578005155, 504055214, 49260772, 48281227, 468734090, 442676734, 840315626, 3734428, 459082867, 924017854, 384515496, 933069757, 742423316, 347929794, 923258565, 677485548, 969582724, 603554820, 1045148173, 101278669, 569501327, 586249911, 199557068, 645386487, 958407293, 1027539046, 705501056, 147510307, 960293858, 901016825, 201795247, 984692898, 566270757, 189652008, 544166756, 571212317, 1044618272, 781274840, 761565412, 411932033, 625001368, 588920582, 1044596741, 1016063661, 520756653, 575822666, 21500760, 91826021, 229215879, 838483217, 486389264, 869009337, 1018293479, 972760739, 989314221, 548828931, 928906267, 917986083, 1054212863, 741555974, 147295487, 79748813, 159039378, 532708652, 299408183, 240897139, 45690802, 559404857, 323641200, 190588660, 1036924348, 415417801, 519534769, 876617381, 313858495, 469095043, 17792717, 140285575, 417010182, 336298386, 660108082, 384143717, 793338161, 384496093, 988021110, 176122107, 239345047, 882909563, 125661936, 64594075, 261480195, 645480440, 346845635, 850686460, 611232421, 980805833, 832091268, 366142809, 775276217, 834110215, 551815332, 175859251, 1003046219, 103260938, 409118507, 602304194, 1053738448, 147574463, 1045902679, 921070889, 177085156, 847027207, 181564224, 497831719, 438944945, 627503803, 12357881, 1020019872, 559640339, 819231911, 643504631, 467489995, 12779661, 798051767, 513850368, 492348191, 172277778, 555892141, 504974120, 347224225, 837418384, 422787434, 913004014, 878668766, 397666942, 638920899, 982763344, 979406299, 749449964, 584975615, 989899820, 675692283, 62660497, 995486986, 722022757, 743615411, 639775916, 488181538, 798752034, 8669833, 873040374, 588132758, 523986842, 257778155, 657233068, 183586552, 864375037, 570724685, 192723701, 324807628, 643321496, 449369862, 847564978, 667034739, 468533843, 874081703, 394938733, 820865410, 246558532, 1010192853, 455693463, 46223413, 351809421, 103785061, 108863413, 466946311, 123832213, 53539190, 428575386, 682135451, 1044949426, 208209358, 1073722577, 607038460, 236687461, 122744698, 916669500, 184612369, 979137561, 1037110603, 838720125, 596061773, 764535738, 610911022, 181694905, 377134116, 410056599, 667137539, 590387284, 1003657407, 237139843, 727143071, 765374239, 764289753, 532761218, 411646007, 462782200, 815331021, 429006665, 35749442, 1068979462, 269068059, 877211750, 460877936, 918389437, 483596990, 765984677, 407620527, 600707036, 195677493, 644291845, 45130176, 726108696, 981969090, 726472428, 612583451, 659060950, 120518948, 145871156, 922979174, 773309409, 15913410, 122434383, 736156667, 177827119, 296385392, 786834885, 1002637024, 253296998, 124867538, 812997385, 747954344, 445576332, 107559789, 841699116, 922084321, 694846484, 565228290, 667368918, 378427993, 735585038, 676123528, 1056390186, 894959634, 344117639, 494134556, 1046992674, 694933548, 915825887, 219009144, 355268132, 142110033, 849201838, 27851815, 819890076, 403594803, 500558364, 387198060, 763561598, 74816812, 526326596, 264394458, 612241666, 526638680, 827432999, 319731268, 159908789, 828090488, 1038831870, 1070526484, 146344713, 76496666, 245441695, 865300799, 514414369, 268041789, 229484441, 988315998, 315146645, 979496602, 589522861, 269086672, 460581001, 492314400, 29470675, 94984972, 275732855, 899540027, 510415496, 589342709, 818097219, 277724438, 262061247, 796739631, 991932403, 521718061, 1055750098, 701343273, 15016263, 240597449, 869620689, 67002716, 880205904, 58562794, 1015290314, 894102272, 661769970, 1033974121, 736591470, 65453441, 550338330, 676508300, 559621462, 306200014, 971999002, 306450508, 436557649, 248958036, 642179679, 600977779, 717695415, 656655554, 444421386, 224624290, 580974211, 253201499, 587754970, 66990866, 78526132, 1003353076, 646424749, 607649597, 133167786, 439047678, 10800426, 197733893, 701746383, 191030290, 916636192, 963673391, 40154340, 536544021, 494480795, 669575927, 926625724, 855460313, 989165144, 604835689, 966198271, 742120096, 153631292, 686564535, 292385883, 569842874, 104613039, 360654928, 196362163, 736146573, 52298933, 871083167, 274650420, 521124089, 438240628, 728642952, 914691135, 481819790, 223468996, 906385284, 406812305, 490777966, 326063008, 244897871, 214835892, 773229742, 1022739294, 8695188, 266166228, 691250477, 425454223, 1042117020, 1011498237, 470842978, 492691537, 984099816, 82897492, 686942177, 270921198, 904171497, 185258720, 910554729, 628666970, 180383685, 73270682, 654933057, 275950001, 229857013, 529380897, 813511360, 815205957, 333941026, 1050830855, 639611056, 36422259, 512107658, 784578412, 271728780, 726815209, 483256791, 208113768, 414231277, 817096859, 9304291, 1026844085, 275909033, 272679130, 944169204, 342062373, 776377736, 472714042, 490162157, 286949832, 693056032, 969572823, 51323294, 783255102, 114707114, 891613902, 653865473, 1044001509, 654485067, 978372423, 1003551430, 914259583, 700468708, 829282415, 742594197, 816473308, 595154551, 680902072, 960198931, 573816631, 536326041, 459221799, 431987726, 870857074, 230241937, 194736835, 272147114, 805818457, 104747796, 1062871568, 78340149, 499820009, 617412255, 194955304, 505948441, 670728967, 342364010, 282038599, 575467719, 692554646, 644739764, 528121514, 916305448, 786877246, 525630832, 778393511, 904698268, 736503167, 902546471, 181722504, 818882115, 492554213, 442740402, 34520087, 411430186, 376395925, 33529467, 138251889, 960094948, 902863277, 749900989, 247699502, 65448531, 601888312, 859098793, 1177321, 993806516, 984124906, 615463147, 874410847, 177062514, 93677567, 879000971, 997180958, 979416103, 509176441, 173574306, 952435196, 821336814, 116203371, 1050174056, 934695185, 500380610, 336209240, 745966426, 883755383, 750940644, 846774755, 418302404, 611766381, 299091291, 699533253, 246600456, 988058666, 809202300, 373489935, 140476674, 707145223, 183244393, 936139128, 181567323, 893665838, 671376398, 151316259, 681511487, 55865870, 697340762, 927710429, 556286253, 207282533, 750370669, 678855609, 992124709, 224176335, 830187082, 148035295, 24487860, 475633364, 1006681430, 496061706, 718415000, 488343816, 445234160, 653825056, 84184377, 208606307, 519375124, 973973883, 572643550, 558783848, 976122697, 1056978526, 1027815226, 658020320, 966194340, 657567327, 348605278, 486825598, 598978324, 368643373, 767319334, 996926852, 480644009, 471270011, 251301696, 237684525, 843958640, 781480619, 53591116, 520828396, 187554472, 1005587153, 105236562, 652551873, 1028116875, 50229309, 147931928, 296781760, 263014142, 19992530, 558969277, 611876220, 979489796, 884336743, 885619274, 667701847, 146597669, 1050890231, 761978215, 483714721, 1056983236, 209115587, 845566241, 613115478, 492102144, 969986626, 402308284, 1029489953, 283164105, 650753765, 740867226, 427428307, 304264959, 362404775, 813884487, 495291197, 1025250558, 408805930, 338700958, 182823479, 526255073, 428305621, 823040965, 767396707, 878747085, 919422495, 787195433, 601270309, 102911376, 801668892, 280964743, 758356068, 493898322, 662636226, 772757182, 529685882, 681668925, 94844118, 948192767, 242154121, 813484355, 748828664, 126526065, 464648665, 76269943, 767327042, 319830957, 64993896, 9852003, 701809047, 240732345, 739176046, 378404323, 448558195, 399986715, 509066266, 479790354, 1071567405, 137135307, 878484632, 847738424, 869953331, 746375682, 18331238, 1008674508, 625272665, 777581627, 214048756, 422660568, 278118490, 819353178, 469085313, 804924904, 873651594, 172167304, 224128812, 412756141, 57506047, 219072236, 471525582, 480919853, 530475654, 880798178, 646734348, 604399938, 676170721, 265440600, 367323796, 700619152, 71816145, 573219565, 204082333, 874347730, 512901015, 630827875, 60293271, 155581277, 1050174204, 1071618983, 1051733771, 280030180, 431028047, 965519742, 480823748, 100209635, 651425531, 430742846, 767136762, 572061999, 1057531153, 64162116, 1016715560, 816596079, 198350777, 135623765, 808736588, 695051405, 644733716, 530570517, 341287510, 1055773674, 6971362, 429602507, 895926119, 86314254, 162373646, 171050566, 970354384, 729417966, 525912414, 479717036, 735127465, 913756390, 672062847, 276527799, 48062770, 1020391884, 303262855, 33577334, 153346247, 743305576, 943093014, 717233226, 132125408, 675677595, 457425997, 642807400, 1018970790, 172819105, 590815408, 306515669, 424576727, 200510914, 634361934, 514886394, 220970798, 658939180, 126432900, 591329964, 153737943, 162390423, 668811380, 325130069, 715829519, 399846785, 795505008, 516477751, 66624526, 161372968, 391175547, 831964184, 92170591, 1054129659, 841681112, 30951508, 150352285, 310695803, 952876555, 759830835, 309928328, 171145394, 95361624, 547126887, 806533426, 59723869, 235139389, 823782852, 367231359, 320120123, 565757496, 859750285, 471205337, 688760194, 634311890, 234238641, 212415498, 642661111, 1038192963, 934875079, 318587096, 965988106, 873810839, 483867327, 506616580, 1071065611, 206214260, 760849799, 120132083, 329440979, 742840966, 483589544, 299512372, 48494052, 210216053, 830875782, 224525837, 699441403, 1004016100, 700263538, 963444288, 847041566, 556495713, 130063912, 12809985, 472416769, 1055952589, 266837652, 713434741, 985897611, 337081107, 298700984, 533274027, 340215817, 210201981, 581267593, 774981390, 641603499, 1060044865, 1008818558, 407823544, 355086033, 127267919, 514017309, 17377956, 271758153, 375902563, 437068604, 572483105, 87392952, 501793560, 173298489, 1025496136, 125960310, 804773874, 1049576223, 899415882, 278214800, 678806568, 956733294, 345129111, 136126747, 49506996, 527437837, 430866899, 669497512, 29884096, 1071467218, 429386578, 308554731, 1010317684, 633966356, 1020526318, 538027655, 383202289, 917841920, 62095557, 432106081, 587050831, 715393859, 921291231, 118302313, 1043589775, 368626822, 950913066, 872093877, 585763760, 349922375, 714458356, 53880489, 72243559, 882513959, 430264277, 979030065, 95857753, 27581145, 847965612, 658524921, 195063071, 659074992, 212189999, 8691696, 69413847, 605324027, 710599943, 316049979, 288858037, 108645062, 779848234, 28867359, 187969090, 95431828, 456977786, 253404243, 479006450, 572556823, 152498068, 57216558, 637990470, 262475593, 967570545, 951070135, 674915303, 254216022, 1031058804, 792512888, 978942292, 119750911, 346210589, 803572699, 753950254, 33648311, 706624375, 539650805, 594413074, 411148491, 449520779, 998917624, 1006656483, 786934876, 342047171, 148229860, 378993495, 761225314, 359231726, 474066929, 128672834, 291191623, 71447949, 983743869, 174386226, 44962191, 461417837, 125468827, 1045534325, 47497110, 796338955, 650850798, 916158846, 444222662, 565812194, 475663598, 159103592, 798386128, 50712309, 1060453058, 705916939, 1049934692, 490032796, 17939234, 723422043, 811527423, 201985945, 896347352, 184689983, 647200855, 556668824, 116274360, 196754381, 123398563, 947338055, 1002233357, 1035204521, 52553525, 346192978, 842271189, 866785628, 63853202, 266640255, 495686667, 957299262, 821000094, 201863127, 640520655, 826183103, 672152976, 559004829, 176355199, 192877571, 391189053, 7234798, 100469868, 563871930, 694909605, 411247962, 819386120, 694192768, 573726421, 544652568, 848580469, 567246083, 1018808979, 223308616, 940466397, 455179089, 841566917, 866248889, 300922224, 181758031, 205045409, 93565227, 563694232, 437434203, 496385967, 792768449, 501640129, 905326821, 378879453, 46206016, 479687823, 556842551, 817498744, 79047930, 1015317912, 981940899, 543751222, 333527443, 818650448, 496003604, 955954307, 794481281, 60989748, 382492016, 349628093, 512529838, 1029979150, 420919516, 1022832258, 1069248624, 820149068, 561613505, 83510389, 710125102, 623792452, 23542770, 9155640, 587013087, 876811180, 502326732, 163106940, 415811846, 704072778, 1048690366, 27361691, 347414089, 345164219, 949725438, 182217174, 416343056, 267286715, 960900772, 331225587, 1039011843, 298518249, 959103405, 470010519, 466074523, 875874280, 1051790475, 941174132, 1026589233, 307937919, 812752533, 114937339, 541698509, 613500275, 1018926882, 180521589, 455218757, 323363259, 633378235, 352105252, 827294177, 403404935, 500971462, 361361537, 132621093, 1038042332, 395578071, 396857656, 276574484, 240578018, 206447798, 292584282, 835335688, 414109830, 795456126, 747424210, 804180153, 241197665, 426804093, 196872772, 313992300, 967001704, 209143443, 488911145, 168468054, 1022082570, 1066898806, 681061263, 711812022, 457831656, 362927205, 826037842, 386754109, 532444563, 895359568, 918845500, 927424016, 926828355, 920791290, 123361671, 923914647, 374486911, 184935650, 816749566, 575981755, 186478622, 50689828, 818628391, 981242285, 19237207, 489713368, 324571983, 414520362, 300951165, 447766074, 88919101, 745720570, 865574687, 412928202, 177196857, 274185049, 856516897, 1007785621, 636544828, 731688880, 394809350, 339339929, 866990461, 1036995708, 634691502, 428928044, 442868401, 421805777, 201731889, 689191483, 121471125, 341198961, 120394456, 454020192, 363146202, 738803637, 582517575, 773345263, 256933068, 515962437, 225419395, 710805508, 171907708, 1006831259, 542099772, 869485997, 621698669, 560117630, 606990236, 340278492, 570704342, 173369329, 775584042, 798888902, 1063791017, 754298927, 36150333, 888009720, 672468780, 216406884, 844815931, 12407880, 894686134, 82486810, 1018484623, 1058235196, 976094384, 259076214, 131533568, 897563059, 671955841, 823367953, 781805100, 9335617, 915254292, 859785980, 883247679, 532011021, 636939216, 978801033, 1050155260, 617268607, 612337536, 423611547, 95904048, 357644950, 563352443, 22799167, 439046868, 141310004, 506337271, 585868907, 820929800, 91473462, 297156090, 229226350, 562335495, 203250924, 532871098, 907008570, 338125895, 371159019, 78634247, 978213650, 805971929, 993655330, 960350552, 191292685, 1004377123, 806377844, 27211999, 355147781, 742864980, 625898867, 160195912, 1070047823, 810077441, 708613471, 86527498, 573288115, 119859206, 163173655, 164850475, 961580894, 559981894, 786154201, 537621984, 20503462, 799698703, 573048130, 256471214, 454441592, 731523550, 459584556, 816586931, 394476020, 937419188, 216964278, 183483042, 1044648260, 19302390, 395413848, 236689162, 931451163, 679275247, 975744992, 632233043, 1045009887, 600764799, 552778317, 886707900, 1058363842, 1031364113, 197209097, 246246376, 797962772, 599833062, 879461538, 311943967, 218431079, 949718121, 646398005, 217577509, 152544946, 401457825, 637626065, 877629639, 589983552, 745666166, 292552081, 348589177, 56818704, 294008788, 409947281, 848957413, 1062695399, 980414791, 915612220, 103304277, 53642697, 49295173, 407453890, 195449295, 134492808, 894454081, 678835133, 349654837, 155817223, 471077142, 1040915989, 818063311, 682742731, 328853148, 413106556, 829015074, 245019720, 69981559, 434109968, 1032133781, 14237147, 1028448457, 98152905, 880127597, 283728643, 1058864082, 384147294, 424226434, 825071903, 496860296, 471782620, 311381872, 701009532, 707615667, 1042158574, 799023706, 498632181, 423930355, 343705116, 995271248, 56950338, 301145217, 418659437, 432240944, 898204719, 169282924, 375037455, 256136561, 264135101, 212630523, 691441145, 320471802, 786102367, 872191249, 793327290, 209467367, 1000508204, 707312911, 974422381, 194781895, 1071437187, 226650668, 1011116197, 674757156, 989624635, 378503340, 443253268, 361976934, 381669034, 684504424, 915178290, 709070567, 238893571, 438370817, 574644409, 978653090, 450193080, 317695753, 350708108, 128776177, 105822037, 864572090, 551532400, 676435219, 940786236, 154326732, 27365427, 734340833, 310032895, 758105765, 474905563, 277129899, 1062926126, 698797644, 482701308, 481324109, 441460899, 167889844, 997784228, 1049078991, 97544950, 443891167, 424043817, 852401375, 25630607, 181796086, 1029985987, 159956970, 289752929, 963040571, 724311919, 865386224, 583230537, 699339718, 167994338, 748058889, 428650969, 328717476, 875310075, 743286995, 505678958, 98319599, 321979070, 924133431, 790837966, 197952192, 436247022, 339121011, 782716130, 61844165, 406699491, 259250818, 612775259, 108421454, 802506357, 611228677, 688722057, 362081183, 613993308, 817845407, 73474773, 912837047, 167393129, 87018195, 2975146, 372309615, 716333903, 9238436, 1009995113, 903641804, 176325277, 701207829, 46580866, 111167076, 115008389, 829617646, 523593780, 72030224, 622344628, 697672164, 851513081, 214685046, 265392319, 318145028, 369837350, 195855756, 860180173, 503061462, 783000377, 750322827, 1008448741, 804144122, 945803024, 264892088, 563972693, 570935731, 723164673, 377760044, 880059133, 353722222, 320624215, 309449628, 31584719, 587577236, 692392309, 1018582826, 671781915, 238325287, 962956871, 991570076, 602589667, 292827693, 559191181, 877770652, 533610811, 847140419, 70078733, 1023370714, 588252818, 772933877, 485943789, 738888800, 932919315, 637716765, 1056464765, 75762063, 85931206, 204637808, 572776209, 410922355, 225395351, 693283224, 119351618, 92741921, 593332502, 28069622, 977564970, 353793313, 31001917, 213837876, 716972370, 718609383, 681936122, 653885719, 838106215, 453318026, 468648710, 453460018, 510733916, 824127309, 514756948, 427715851, 721740691, 299831762, 712131016, 240736258, 300837804, 152556467, 7251112, 869458851, 447729682, 1065341535, 1017978540, 338068493, 166952573, 412620709, 377226539, 72244862, 842034899, 543506432, 1049376777, 145278256, 106788743, 249686665, 213187837, 508231019, 1040162482, 1004777507, 139246000, 514821328, 1024939875, 826896490, 831857076, 454304583, 318784613, 384234740, 357015096, 60685204, 991106915, 366298255, 415812851, 633856966, 629571046, 144561083, 882854941, 942534332, 906308081, 727930896, 757127318, 164795616, 717639853, 896395453, 739442080, 128915044, 147208186, 233479099, 548283061, 1002288733, 432924139, 126946796, 11299255, 136778386, 610817810, 995688207, 37767246, 911249349, 444261675, 901145180, 914678087, 634626669, 41384136, 646723561, 17307154, 318894147, 899599949, 77592202, 369459996, 97689130, 946080220, 1063966877, 946451757, 227181768, 635774796, 229837981, 115446252, 1048657109, 390549068, 191709894, 729551436, 935430141, 909454263, 982641917, 1070493868, 465974446, 313731576, 707108252, 134569436, 353949820, 475444148, 211720683, 27205899, 219310492, 868668307, 492169564, 960002822, 801177703, 732936978, 156993380, 967495137, 544135911, 912674240, 670744718, 172158451, 336591731, 281514660, 1064987174, 528799734, 387948049, 907965222, 716473326, 259057777, 704438807, 341556718, 565406200, 483601917, 528697474, 210469350, 965434691, 749717729, 646476749, 60879250, 996691280, 942144732, 937956345, 730546834, 282976070, 788548936, 100211112, 166002436, 775085069, 403328946, 892879763, 923115082, 1012849896, 817200962, 277091459, 208306299, 470307444, 507442820, 417478541, 1006277192, 203116199, 2064900, 954255069, 280271798, 1002583279, 182577386, 91811117, 272972897, 161028111, 635894707, 546025416, 19035761, 215161744, 586388648, 463064424, 770360683, 395780307, 379578855, 665454475, 49147719, 877978872, 635594650, 975595334, 123938677, 83171558, 363217909, 545362828, 113514017, 241088393, 882709867, 420749666, 156652570, 70479052, 374183710, 1853992, 138402590, 338895637, 1048318282, 835561540, 291688494, 188058512, 127858566, 452737962, 40372076, 7990874, 741285313, 932518935, 811373245, 640706171, 31158001, 743999214, 531781152, 552084821, 1021066303, 1007006140, 30682024, 28693551, 829861540, 948618414, 732759751, 724538519, 583307722, 387229317, 914476140, 632291312, 421634435, 639625410, 108035422, 182585263, 763687846, 252291656, 1059748862, 187530382, 96781146, 445610050, 168283684, 654756528, 297709718, 75074395, 169138287, 1008323856, 327722874, 197065655, 775081032, 323685626, 557393535, 945095072, 746723373, 342688638, 932569051, 216096881, 540142561, 669983514, 650299475, 232597214, 302928508, 995819719, 626090918, 92427056, 106134793, 456229711, 1053502653, 847311404, 406800531, 886924143, 102174702, 561484564, 234342425, 823054092, 616820781, 999777887, 559428974, 1000097648, 450706318, 864785702, 111531459, 180762473, 965665293, 595663806, 207180572, 446917168, 300599610, 711897396, 733890978, 393794325, 553089315, 865777837, 173767098, 171921140, 879298058, 603491923, 44071855, 684813234, 47821058, 387885893, 724264703, 1030975923, 244218232, 442532386, 271126777, 479792381, 244818149, 1025773779, 162113475, 729425763, 409836668, 614670631, 567203300, 953623762, 161405553, 395646139, 135185074, 412843677, 464977564, 827577794, 197339625, 743497267, 725050410, 875148169, 419403971, 275666508, 218222189, 680507916, 651280527, 322276264, 830584666, 686153188, 573824461, 708740104, 335626076, 354532612, 873018550, 954848543, 971110254, 56911307, 308906078, 583867510, 284828398, 846603449, 677847653, 124830474, 736535189, 133030245, 221494835, 217491944, 727175738, 1001605853, 759394102, 500958026, 89595939, 7287493, 491982322, 527221213, 165542172, 477783594, 598438031, 171878907, 433612227, 813559386, 538636187, 64474231, 266502403, 274897167, 422094126, 1068922969, 511139071, 929019378, 1047693409, 289665544, 524215084, 292039538, 649639759, 40733251, 998244827, 9531968, 364977628, 517676658, 770114182, 965258758, 394396852, 642803420, 947337463, 741366555, 29055104, 1010749451, 745163096, 158221431, 294738003, 788918879, 788056347, 248129549, 139110505, 1038770456, 382879470, 971939198, 297129402, 592497923, 337325553, 797937364, 637171013, 489761031, 1024510112, 1054361194, 11718320, 990025573, 1046089839, 917960849, 313049898, 12753943, 382100021, 159338608, 90140010, 20901053, 147156824, 277384689, 652898858, 991003666, 658868537, 675440768, 137139337, 253341367, 502081895, 141749424, 606586676, 172621682, 244158168, 283774942, 23413503, 876945291, 204458797, 866351902, 140574556, 629291642, 67365436, 985059834, 18282328, 321308738, 796265434, 1037332054, 799256623, 565923112, 987920365, 1046654247, 103848498, 1035352023, 386774499, 159774715, 748402631, 879549322, 870713234, 552983990, 951742348, 295081652, 221544018, 384466919, 904357541, 833061382, 558161564, 939486805, 570492988, 641990549, 997280457, 936298323, 113929213, 898090861, 284161290, 829989409, 567528727, 932155760, 25489446, 558907583, 230422583, 615618854, 316361664, 912235680, 761546215, 519630060, 892587678, 782102816, 326814728, 233313694, 331699135, 498888165, 528674567, 656935245, 484997835, 925811824, 787906074, 888580416, 294641105, 252423637, 353059619, 1065826124, 965671958, 268806055, 89515737, 952719512, 920257442, 618627895, 781182635, 1020310336, 842284468, 1072055212, 879597686, 450447000, 123287174, 324184332, 911809288, 87930408, 735214724, 703358010, 903026758, 16192314, 740399233, 320336043, 191725749, 340401486, 1018088195, 932517796, 426260739, 871439156, 346450529, 20248623, 257400284, 416846105, 919064287, 188065784, 70931061, 156686769, 578103537, 689672900, 1021674231, 307835370, 482372103, 83838745, 991590554, 890238489, 420942448, 62530311, 1042937076, 995663293, 973412595, 602006404, 873474613, 158566224, 723003183, 510194855, 622360213, 1030610964, 235327283, 124547655, 47722465, 624980357, 872961406, 1010065506, 795621978, 580516423, 578761110, 51868306, 541475900, 1073336828, 938151058, 880041467, 993923392, 553642290, 793515678, 20545022, 432237799, 351597898, 1011850186, 421729600, 405012390, 1040141077, 958119823, 374821662, 216751306, 497538316, 628033146, 464848272, 114066792, 820339142, 455688853, 160966815, 645967738, 143720459, 215191764, 831105120, 722950746, 105058173, 1413335, 858024142, 430152045, 206316145, 135811088, 713824019, 395569775, 754973763, 807860190, 849923660, 471436390, 308166876, 329990945, 786429109, 256955439, 345753727, 764189726, 614053995, 714983760, 551217688, 22320520, 869275093, 666510989, 860498202, 611793093, 173804432, 983754922, 874990416, 373008977, 813001025, 550922203, 780843705, 359539496, 436953627, 6903126, 682669549, 224809768, 409498471, 749911878, 186118522, 553622818, 821330241, 342714160, 741970678, 614789082, 706417259, 756055459, 549435409, 707026072, 277589494, 327842181, 261770877, 839030590, 771650036, 931822525, 966630916, 419731766, 532103042, 335509390, 411694371, 392253757, 385592984, 411215153, 997458597, 503352138, 468609997, 512733517, 756480058, 986253893, 753609672, 42198003, 641041511, 512893698, 822861335, 819512693, 755241693, 786594694, 275809555, 277970930, 879464143, 864979533, 800634125, 231746831, 1066797601, 438741544, 1024580337, 701151712, 853276896, 100355874, 348679479, 301034848, 319196081, 152120120, 379267108, 204604384, 864665319, 134528196, 313627825, 555878818, 523220449, 23165319, 831224586, 717379326, 726010801, 145363109, 560483429, 50059148, 84683067, 61217033, 546670361, 795582799, 660693006, 643141982, 63533850, 614445677, 1055784634, 459106342, 1053738873, 743221306, 232282082, 761538552, 541999287, 1063754965, 417305687, 356197495, 519552175, 881106899, 520115378, 694329323, 369488609, 207841104, 377606137, 319020195, 590168304, 370367198, 579286043, 956873488, 679891808, 355008989, 765521620, 377418503, 1052452491, 754828941, 361617356, 119646981, 368254877, 277535538, 291246154, 953159663, 110254721, 287973020, 554881677, 555557076, 835231350, 500192574, 657101402, 642545461, 781517048, 16965564, 286201121, 728975400, 147011470, 465535138, 74317035, 522068931, 743987368, 99782473, 82941733, 455302043, 768629234, 284405736, 986421559, 759306572, 740549712, 522279880, 23092628, 852041119, 342303229, 973540149, 742195525, 769833381, 903216027, 93254332, 1014209048, 794078715, 913926996, 735983703, 683288425, 548471662, 343829318, 541094917, 614129501, 80938864, 444510207, 809332913, 268683495, 866728415, 69973852, 409540782, 874922822, 847358055, 675883837, 499003401, 351279747, 105432527, 223807125, 849224006, 449747650, 226862786, 707060507, 1049448268, 341983398, 885898133, 960151686, 788221765, 128016172, 564837676, 412859192, 43037599, 273139390, 776896857, 969473258, 518231775, 653688835, 778963827, 568302423, 783905287, 991527503, 589799848, 957432337, 54043778, 436210482, 533054653, 407239408, 748901341, 503213609, 172044509, 280861253, 459060834, 884740326, 743543977, 534210253, 595336435, 75258158, 785418500, 620595654, 132166232, 1002575326, 909379664, 817297766, 357711945, 437139825, 134670304, 978811167, 1070592337, 474322700, 280277650, 828916442, 91528763, 494646110, 807711867, 704535640, 29261451, 349335292, 64273785, 91964781, 436670968, 502274282, 511834189, 480287693, 7219530, 926341354, 269922277, 679705258, 371745652, 234700561, 427482080, 738934603, 915422984, 717465530, 504090094, 291462796, 628151746, 1048956558, 473323716, 80645901, 815843046, 917811239, 209734860, 628221714, 884214252, 1420812, 298799197, 195291584, 626007176, 489863277, 391437249, 20744967, 724653513, 508142127, 813314277, 111060088, 370015373, 202378910, 1064205947, 303899862, 321962351, 310439738, 10488528, 141230335, 219049305, 248698813, 379487718, 397214221, 194950306, 1043717176, 644045066, 622516863, 610374952, 5629078, 896355898, 183490189, 270494554, 385590956, 1005898794, 381672172, 584783623, 520871432, 953601270, 825623525, 928194513, 691190434, 738959991, 354071608, 875327679, 518406526, 48090591, 721627812, 1014334392, 339196359, 78459558, 1012680134, 493146376, 737382219, 381363944, 313385056, 974909995, 304150553, 541142025, 264765225, 591234706, 450575694, 260146779, 778065077, 302456133, 1052379886, 1047121077, 9422087, 211625389, 64866282, 947426088, 758153295, 353216573, 729060945, 1025324178, 495856241, 596049273, 987995237, 674758820, 833900769, 285300457, 304908768, 194180342, 241677315, 712088553, 445538431, 1020163103, 195888516, 380728601, 526701397, 816549386, 769050591, 538061575, 394408237, 159974105, 277138965, 817348974, 272006194, 527727260, 543890882, 996534991, 1055499645, 547597551, 790760089, 140290050, 459693891, 509314539, 119250764, 876518521, 304368319, 302337151, 385238489, 1020995633, 523774430, 1016691101, 653697312, 729878211, 780976691, 1046235279, 870202904, 172931959, 1056579667, 127026369, 940320781, 131516222, 487978537, 477758219, 555858128, 48695283, 471317852, 471221964, 281782752, 320539540, 829053933, 993635527, 53099946, 369700052, 433824249, 364058062, 606985187, 1045854542, 607878211, 663118781, 82007669, 260902972, 8905619, 526203844, 86465873, 33619422, 313647310, 49782459, 536448685, 1009970425, 400449317, 914862188, 747837413, 98796566, 60171484, 412651287, 66211282, 570624025, 910032960, 258432212, 958542575, 780514754, 26432468, 773342685, 105361697, 697085051, 171342718, 395019253, 487119210, 610283683, 1045801040, 198046212, 562090614, 682993629, 1072524597, 7450267, 1022329629, 388226103, 742822549, 323690007, 825240910, 81878426, 893443872, 368623156, 343200193, 934184586, 867285706, 243677148, 528314538, 586283337, 574367845, 386588177, 59765269, 691775298, 1067094019, 124660505, 346079434, 917342462, 48557455, 669992387, 961141272, 674680573, 634428964, 443926763, 706466117, 818626404, 458146314, 766389438, 641368243, 213383854, 701176069, 141359842, 208651144, 1072835211, 1073662459, 792305558, 322879730, 303851871, 752668896, 191453284, 737347458, 452580762, 296615973, 481777558, 188185465, 537852918, 263686386, 824151424, 907571939, 875168046, 1052608539, 413170621, 754298615, 107527907, 471914621, 143323467, 1050227772, 624650846, 859314819, 671860928, 568152801, 145741963, 1028260281, 769822418, 51609681, 552933645, 177899822, 194445539, 534755205, 1010705045, 1027554512, 363075147, 320219732, 901222902, 682939501, 1015102311, 766750140, 354608692, 434072891, 36509499, 1058531096, 413571601, 919490556, 632579797, 322337112, 190168045, 709955421, 960976236, 782525561, 733282374, 534497305, 573253634, 817417322, 668999988, 302545842, 501279023, 154226951, 1022945737, 370367512, 124260518, 544991081, 73559023, 287244245, 611797715, 869791240, 1043734884, 436385120, 1073692248, 169968661, 387930386, 1036538537, 95825488, 919049763, 600041734, 583858898, 1055042218, 1041738129, 261929664, 120611041, 930388798, 733530333, 425263629, 389341871, 888750482, 339425533, 970658405, 766885215, 536473798, 3948310, 1025372211, 707472536, 120899157, 356812325, 1034691047, 825361204, 751316538, 664638835, 369317176, 480575279, 994221788, 322668082, 339527558, 435527599, 92139805, 200243421, 247510464, 722620029, 517588917, 155696469, 118460163, 953888204, 411210095, 638546583, 562369714, 97085326, 230288384, 613557787, 899337687, 322035771, 498566177, 895203561, 267871198, 1040758027, 92595335, 471087653, 303675934, 732997431, 493490128, 125976316, 746315026, 665322774, 969799294, 736581495, 910094924, 305450136, 204501702, 359215356, 895882522, 835397827, 1009397540, 500451943, 388782364, 553619330, 420055175, 83464532, 968987596, 75901489, 594503666, 119694237, 537420862, 691929640, 751858642, 452730761, 437271842, 325848646, 241000454, 388779742, 633288003, 693441090, 1016983537, 869623607, 784169654, 405780738, 538180775, 950463242, 619378997, 156535095, 818213036, 985243436, 658883285, 670731867, 16567676, 300438169, 560169534, 951430474, 78685043, 693246676, 518729489, 488740495, 941959001, 659180816, 540226831, 409560378, 587360688, 1023082804, 218971092, 520749230, 1044481891, 502257323, 18965100, 362311179, 370165613, 480987343, 289418907, 186208646, 149641716, 454714349, 767982195, 861284827, 517849271, 713745620, 860300350, 164743909, 406780272, 750999390, 496966090, 891845939, 198580048, 776263213, 273247336, 585099994, 528037099, 1006357596, 273433415, 676167762, 658167108, 326138798, 599288399, 195809184, 918850593, 753451096, 15563126, 792752834, 676037520, 291790881, 293073573, 149250830, 778958812, 245326761, 469322828, 895769876, 13696519, 940405193, 784806668, 474487037, 339030703, 473584675, 642982919, 873444374, 159595395, 315920793, 772386561, 229220621, 545864490, 723203409, 782823415, 195204970, 749698482, 764031483, 343332657, 750582013, 580864407, 354648621, 734537654, 385343128, 87200299, 130267943, 155935447, 138128782, 757289821, 587425488, 855892266, 918302655, 260285692, 976873871, 375817496, 254840647, 52857595, 623380772, 355022188, 762300177, 935352381, 227039256, 507606891, 382495187, 181377159, 567954552, 165792082, 889924245, 597638233, 941723852, 419311913, 348838647, 189323591, 134767847, 293878070, 121692969, 364810125, 831157062, 40657420, 24643026, 617580344, 573058925, 1026095233, 590786594, 286727111, 594212172, 897957353, 749537815, 35884102, 441752429, 60717028, 893768144, 752174994, 429055924, 317689324, 121298233, 321359466, 67080979, 360036431, 828502055, 691328722, 316297233, 165358879, 424285972, 408328537, 31090324, 554779614, 318840722, 867449206, 61641709, 313228239, 887346277, 2925791, 419138514, 384204465, 769793565, 18433423, 990604054, 695174103, 180949101, 62917959, 289290463, 547925454, 82377534, 1007852617, 738303330, 85659678, 977665676, 839234650, 405858107, 673279299, 283811534, 164534193, 247574636, 724106989, 71871961, 960020178, 313799081, 473982278, 456092401, 932308906, 814319793, 645733523, 282003054, 428368917, 483938977, 1070979088, 512552108, 208917604, 784878043, 795732559, 640299433, 590396246, 411291899, 820406776, 428602430, 333327470, 983615005, 431320739, 633061134, 586469436, 26153769, 446245270, 1030085691, 947524625, 172950004, 352707841, 673785044, 651617547, 891716086, 440300221, 228522390, 295054018, 17940718, 503412329, 1012228137, 878880019, 908672882, 230727417, 346547335, 221324353, 811193734, 312000675, 419819468, 378689727, 239259591, 287924241, 930686088, 725439928, 429973502, 982444135, 1030535676, 446982707, 1044976472, 418860236, 99419783, 186059289, 286640149, 907851864, 581621782, 299057351, 331791672, 879517855, 699782699, 283573515, 156388527, 270839318, 739784563, 39557965, 729944275, 860157132, 382311929, 860837645, 479391637, 928713107, 152921363, 982599129, 519323586, 504088992, 518535385, 734684462, 888021684, 507419968, 304094673, 155287527, 518600940, 407894418, 812299838, 846532500, 942758554, 513198195, 578249523, 367489522, 861194130, 432089524, 1028952806, 417965591, 664160370, 289357358, 389243414, 1018184523, 143070464, 380891065, 849502114, 996844768, 65917358, 496077175, 455075941, 618958355, 390572364, 857960966, 1026549923, 203693463, 566589934, 288965459, 346258788, 18235237, 270536161, 261061705, 313229673, 840449825, 1013698944, 517759738, 411426564, 177718231, 1026741114, 594404939, 850017066, 719615593, 660464535, 755584195, 322649791, 59160419, 839485463, 117710008, 932986324, 609470207, 540494299, 824765663, 397628112, 372112813, 752023529, 163327596, 838771958, 676107669, 96708440, 1669105, 922521766, 580561492, 707202191, 912332155, 587214437, 859332050, 152889157, 421525116, 296812793, 612358186, 863801873, 77525557, 1046780705, 839692804, 890515490, 650858805, 839484262, 953314126, 19197409, 48482410, 328770152, 385635632, 50600109, 1064726181, 901329157, 880733069, 290962428, 46768060, 674425528, 416451249, 836610380, 850651744, 231345832, 59961428, 1001978626, 664649982, 129066134, 782677506, 150462954, 215629336, 440768666, 203202413, 323815838, 342361838, 975945944, 305955006, 37222901, 516071208, 1000873541, 1030274909, 679155218, 198243246, 143489218, 387412247, 332293372, 802285346, 734573484, 499863991, 725385602, 109436459, 403909715, 484308890, 870673102, 300168119, 108659727, 864126950, 538122672, 1046449377, 742409535, 984599276, 651859403, 370933584, 52632207, 65547479, 103657153, 216710553, 93151744, 956076124, 101956510, 714538995, 523510049, 187794821, 181412174, 721839105, 285126160, 468131375, 61262038, 225106840, 412600785, 868606383, 13145131, 291112425, 789685474, 462086142, 758092069, 831744733, 795481262, 744956400, 302744458, 275986206, 971341740, 135832191, 900215382, 731609981, 543937004, 546475305, 637539212, 889447705, 936654626, 972617251, 453002741, 90874954, 633559725, 196119565, 1060633644, 408569263, 48987353, 92529120, 925622212, 966678916, 969757175, 840556561, 651747412, 734771942, 566439498, 959909690, 107484833, 931034016, 153632021, 900278874, 519114355, 607136690, 540546564, 999078367, 904044154, 180301151, 796590744, 839953502, 70575279, 402100877, 952221925, 943184374, 263083357, 523134681, 865386555, 310203751, 233139703, 164259114, 827685957, 378933194, 860977510, 192520181, 53233227, 929929127, 595034521, 164569562, 518333835, 199944460, 630165561, 120375763, 1039451545, 157255945, 275771730, 543827036, 809270505, 341737319, 481534069, 162794099, 774056289, 107660826, 64383568, 683082446, 836476413, 645531222, 121364152, 259531636, 1024967511, 1027996141, 336311649, 350532318, 344126980, 558435174, 37914167, 733469347, 61399657, 161245697, 963976070, 204767479, 560850300, 638941648, 39845203, 375785610, 453681993, 517742046, 333972965, 698506915, 117976310, 679547681, 705669329, 729683451, 709963484, 594549491, 38357636, 408010288, 147140786, 411116740, 549361314, 45995669, 31146316, 933961152, 265797771, 802651541, 844093926, 760857886, 784167949, 252992350, 853231421, 318914013, 66636796, 482324814, 609323557, 92801283, 653079229, 604159263, 934715882, 771914, 94306071, 825562895, 63560307, 705241531, 754881676, 960722828, 406642934, 886732167, 514220813, 733011996, 958173194, 636784591, 855329003, 554585153, 892260515, 597420141, 815184369, 645205920, 562391687, 509830190, 162700411, 887871747, 981888560, 81433465, 916028411, 220847126, 819580451, 181523352, 78038000, 83752973, 985130803, 1020399094, 189629739, 592915854, 371072621, 616786474, 772509037, 120881953, 54899129, 416717611, 779120865, 319989130, 674540975, 149551554, 600397108, 536777355, 680636861, 476849912, 609445854, 116053492, 510731552, 584090814, 330327899, 717392229, 589123632, 379736955, 120705204, 1051367202, 414589567, 323904775, 1001840441, 770267194, 1025083432, 12292982, 251471842, 879716541, 242005479, 934802247, 146867870, 617971741, 257297915, 572056163, 708434022, 339358742, 184081697, 872960337, 123432945, 979948628, 782734677, 368304624, 570538813, 88603584, 79670284, 629764988, 939070437, 556244096, 204242738, 77379304, 777473137, 1002459091, 359485449, 814220348, 662642262, 620309055, 275521970, 413540792, 937771742, 802436791, 154778907, 733389861, 37668244, 66318154, 854674443, 522062956, 74102269, 702124580, 183284086, 908399397, 209835804, 14766253, 166812311, 120218543, 928611650, 962727264, 420562168, 915350531, 764006146, 997939061, 163386146, 913505448, 310134835, 338473508, 211961604, 545799229, 558083785, 879492931, 407419709, 165808032, 137098553, 384141399, 549063846, 1026428811, 504501906, 546011272, 681709645, 853999574, 941405094, 763424643, 99188563, 615773900, 640368446, 556210348, 83303898, 499432314, 421489237, 285884613, 792196252, 185788041, 910095475, 364443410, 21821412, 272887799, 341518926, 670795858, 286235928, 591455695, 112650340, 369378596, 502940319, 96061233, 954554834, 750372661, 360386840, 588624370, 898965490, 416091236, 1009173622, 241434844, 458430427, 424389246, 611905025, 753598000, 541303966, 126148087, 948733458, 955289957, 819109555, 741510584, 660933151, 147331313, 62301865, 943692, 672106167, 253028019, 1073153167, 284315045, 973820586, 158125750, 32778475, 103869421, 594195086, 708158132, 157181996, 574615044, 54493535, 997644495, 566180993, 865259954, 911195793, 1029737296, 875667829, 422876865, 307742973, 560013518, 348447182, 885127767, 195767329, 864248086, 1044471801, 261743019, 823838910, 257750840, 103361452, 477148839, 239749064, 453152699, 901457749, 147615760, 557027582, 561978498, 743027771, 1043361587, 828521055, 531557649, 210716411, 245576066, 399470971, 817888726, 1904154, 586444270, 94750854, 735839047, 1811952, 607125746, 905671989, 42567499, 1061527391, 1016330787, 1071894069, 600148844, 610112900, 165943855, 44813058, 193445457, 812696748, 321677190, 836194234, 118297237, 644093236, 707413885, 78053782, 475275340, 935099678, 137849416, 887353832, 179546921, 605866981, 1045985051, 155087369, 200826324, 571237783, 502816589, 527415463, 581853123, 628525740, 949261948, 263049674, 301964791, 556529306, 46267861, 706223117, 238710741, 919935389, 609882772, 767632786, 210779329, 16929228, 174687391, 731679073, 117751321, 416888765, 895159929, 1057087936, 837597357, 110993845, 534004751, 546164333, 891868962, 216288043, 636294834, 737926352, 361849761, 13743441, 295479455, 739961538, 959575916, 883569356, 903780659, 455935731, 262120040, 460861635, 588386971, 422270402, 377321337, 640637375, 168988541, 665296495, 556464399, 902101615, 190619557, 93262562, 14333901, 851331517, 638758101, 179965642, 176794753, 280977278, 683044665, 764380192, 1057824946, 529422077, 524713564, 634694308, 1039399495, 602983416, 962831885, 512638928, 890319423, 464251807, 93909918, 471845748, 291637691, 1023639013, 534962996, 538896494, 269497971, 471998667, 286555014, 825868180, 943490267, 945156327, 407679800, 603779346, 617448342, 746534004, 141443505, 47919601, 918037981, 31065372, 1017372672, 308606590, 345286888, 44027440, 642252488, 970302697, 396501805, 209172028, 764424462, 515439093, 1016612562, 584387204, 841706480, 879766929, 6671322, 628018623, 855788676, 59876398, 384327046, 544191913, 719879785, 88828480, 31186490, 997496072, 438435721, 621615553, 150665600, 712408449, 339993308, 681547828, 501969508, 180629031, 1011280832, 893663830, 740940476, 197430503, 225795564, 393906132, 1019703946, 839174822, 335101874, 360674535, 93252490, 864909516, 903726778, 898558606, 417061157, 800871969, 871534330, 422714019, 70625531, 203186655, 546350226, 68616743, 499148580, 816925490, 530695553, 345426598, 579707849, 583798412, 979401132, 733466682, 265490170, 432475789, 608929915, 441685954, 449093121, 334730786, 942195906, 563244916, 279514730, 790025848, 311631928, 368300460, 1000557328, 160093605, 604786863, 972002931, 696905774, 268247077, 906271637, 859199395, 1050729629, 27758350, 415432267, 998684576, 996217230, 727236809, 579095628, 766450597, 214014031, 1068418067, 654709578, 816802895, 838444025, 1072570247, 548020031, 1028476349, 892483157, 1008743138, 473664304, 158511572, 808343098, 1060106829, 73271387, 984002470, 700084155, 203361048, 884149741, 689527834, 123182728, 142694821, 773783133, 598592945, 925626941, 257897695, 588056427, 351373699, 904614997, 780083056, 710422912, 936666460, 571976465, 558930411, 489040941, 588146105, 982542557, 533551715, 921586834, 873186952, 1032234424, 762164921, 783098325, 543908942, 350166198, 224792344, 383383904, 528731373, 723817307, 708992558, 343936434, 893011956, 1014280604, 336318856, 288560276, 74526885, 624096879, 715754014, 135116185, 1052850919, 923606074, 394523046, 77520145, 623158720, 434174046, 150335563, 426965184, 483474683, 582469884, 361930357, 563980240, 722376027, 516267657, 689752056, 334481485, 928464728, 967611029, 292898369, 299239792, 526643956, 1060235856, 292454321, 495257280, 891993373, 512200983, 301937848, 203910769, 1039232878, 77004399, 980132029, 665042534, 974153354, 191217264, 137223633, 930861848, 715196120, 995085184, 100246957, 48847615, 879923461, 835046417, 143825208, 32336971, 657393966, 927350381, 1036884542, 143585281, 851740802, 246795304, 32708101, 510254252, 86531254, 312604422, 990927141, 395041602, 888457330, 899870915, 450062395, 921358030, 915566054, 227194786, 901886354, 716640277, 393997253, 827658519, 89986920, 211004805, 634028093, 888074454, 1044904720, 796028079, 228363832, 434435348, 1011350425, 606193908, 200720777, 483028724, 408884249, 86455452, 45424854, 887793816, 78183952, 765370818, 941611585, 925132911, 760380341, 152713113, 651640005, 688655876, 218570031, 749779848, 93477799, 56345269, 216441604, 21050881, 206887982, 678894483, 1006586769, 913918647, 540141781, 886569612, 637288007, 803720687, 97180913, 712083658, 417205485, 512957541, 726772385, 511162383, 724739800, 999480297, 18436363, 573072299, 583453419, 56247155, 602576644, 123523232, 640131854, 332836882, 439343825, 151967180, 314346303, 693061428, 894658775, 1029118842, 1021580046, 235715878, 122321621, 891271241, 284152719, 323472321, 96121110, 187134631, 57713996, 4215248, 1012278001, 910037733, 979530404, 1060229876, 860312299, 1068597800, 11334479, 49272186, 235948792, 42749850, 178681278, 182763085, 379797721, 673863337, 324761829, 122019585, 1049979119, 90576270, 686368089, 162360541, 893714263, 829703778, 202175837, 741289022, 240504384, 49836395, 983905389, 607779326, 1000193596, 75538083, 992673675, 809054488, 700461427, 392844800, 477518731, 126117121, 621092162, 236369348, 890218832, 532409677, 684239696, 39697301, 271242485, 887596604, 660832157, 573725711, 608334617, 924503098, 227104883, 257764815, 1016486642, 27100021, 869430320, 37625448, 345855506, 582121499, 3219275, 743117049, 390883821, 1004301892, 545780358, 77848396, 336566743, 483670798, 984147305, 487418912, 240139201, 192603559, 758568529, 208042587, 814160702, 103322261, 261274625, 323835310, 416199203, 749341299, 574751076, 430741843, 318240849, 581635048, 221451213, 588623987, 811926612, 561836322, 633200450, 57811753, 480208250, 337742940, 25376767, 41710568, 1066001421, 470019731, 586898255, 40981026, 180051582, 340717851, 381230013, 703524907, 228238907, 98678105, 96008180, 805308672, 1053676100, 216120756, 518058480, 978216369, 152903552, 603824582, 581703550, 133284524, 808259077, 84535441, 860262940, 1006152148, 31495608, 906012869, 703515265, 992752074, 1009741540, 592688564, 222730642, 610902902, 551637097, 535058439, 892554987, 249196612, 301208033, 747732727, 1016895059, 490198371, 109186780, 117693673, 1027497573, 277901788, 265461247, 487145494, 753213704, 507230318, 170346543, 246366924, 74497647, 66108972, 800178987, 214971487, 745122140, 1006695355, 324357985, 1013884612, 546266149, 191585380, 431750617, 803220925, 669988629, 69432624, 839425603, 336634888, 295711941, 581339929, 851599688, 286695686, 982764230, 113840617, 652484599, 740095955, 703696641, 37747159, 386360224, 860094945, 750445428, 749673632, 354448956, 67760442, 452089710, 644622427, 382836091, 714326986, 16674300, 893985173, 141306060, 979966366, 396810432, 551636194, 228030874, 517339857, 637462467, 894123564, 350905626, 467819872, 401371738, 733318533, 31467334, 1065402217, 361036529, 967997986, 44981617, 864028752, 285581984, 950100217, 95270815, 104248246, 326754781, 275686464, 832100092, 201484092, 365070484, 525940189, 906546094, 42945196, 354214296, 54390880, 280829651, 317781902, 945284378, 224614103, 1018551807, 960527415, 515046441, 350678552, 36136195, 752385391, 1053949150, 243874288, 653328102, 202908991, 517336819, 391148822, 289432753, 462515605, 55815181, 980018040, 798426752, 815156166, 294051878, 809214561, 875628907, 213882713, 547809531, 148261595, 75312455, 399333765, 272022854, 339829575, 749315794, 99958001, 850128636, 476282411, 809641627, 796073517, 409733907, 518359501, 549297317, 54794361, 324703344, 517371468, 66573434, 365455055, 243326271, 335212017, 257272543, 1066773090, 266427821, 1032322730, 972332187, 847719722, 953458027, 514446288, 676987410, 973898111, 718502582, 786486072, 620103291, 360927582, 413784252, 45269604, 808170384, 407746552, 212318317, 112708293, 1022245691, 731552928, 676843456, 279313781, 989439877, 252930244, 288250613, 908134775, 227853408, 414276136, 675059009, 514604761, 85222013, 164703082, 140670440, 333946926, 302368787, 492489543, 453920307, 336879879, 892997774, 419414291, 729572814, 993544603, 419109511, 294908563, 777334812, 593319867, 540696777, 1019437685, 102938005, 638076789, 391357106, 711180014, 115632161, 928966865, 523124400, 193150530, 885672344, 965923605, 262515693, 478639640, 91091361, 36776692, 292622044, 111244534, 789399827, 227333278, 306804505, 226276407, 166516773, 249961613, 112499368, 478097587, 879090209, 917640695, 372850398, 469599639, 157442480, 345431266, 288089147, 856536314, 984400680, 17104930, 6128427, 736508073, 399644740, 1036311146, 339101663, 89767816, 1027237279, 1059629276, 69338008, 1061193263, 51720733, 811165656, 762403001, 1039987957, 852130566, 524522603, 94388423, 378504855, 1018390556, 656754937, 803595058, 565085101, 891794350, 383339570, 491203006, 670989933, 150452574, 136228061, 313246157, 786666152, 265907638, 767979723, 718478117, 522130752, 18347543, 152231795, 463878130, 713389416, 791430097, 1043024506, 966196308, 959745290, 600664157, 49946607, 533101656, 313942558, 201913448, 544754169, 131813804, 668724537, 716863553, 584124131, 1013216418, 530589707, 332623133, 302894596, 62550381, 92955138, 1067966748, 581266671, 491091686, 359565168, 824462298, 626049894, 905454222, 309399900, 751882416, 362556110, 908383570, 544226807, 120453720, 851536744, 408404335, 33648683, 685613178, 663366057, 579826797, 702455881, 165534244, 816956829, 832744563, 695393138, 208791212, 946487258, 852811574, 105411671, 269993790, 159396586, 193912799, 98705895, 110544584, 765556975, 667986314, 822590914, 591087532, 214434779, 637041391, 664017607, 572860404, 94340048, 763800107, 277150837, 1025353598, 295019953, 867369947, 64985919, 466266502, 1004816027, 901854418, 342123301, 695044018, 652398907, 824011581, 95540888, 148287158, 217804758, 674552366, 389133145, 137642551, 262906529, 493515363, 546494968, 383921154, 760084775, 330537467, 667095048, 353082651, 630747714, 402778751, 570276658, 648365359, 746257562, 1031488058, 570603936, 789893442, 260170361, 1027867489, 503587384, 580984638, 410977773, 79336783, 274755827, 637625584, 714398935, 305903708, 454374427, 506002938, 845357696, 632709495, 270037021, 173434030, 104297105, 769423692, 299814068, 984187827, 511059965, 660308730, 314543299, 828361597, 860261633, 10714863, 713828193, 1024830174, 895357351, 947730781, 801673112, 215202218, 27863883, 912269468, 23328725, 692289890, 992953686, 941620794, 504658024, 395606860, 734632152, 186045901, 556049233, 654582746, 444874732, 180947771, 463063041, 615651971, 145140172, 441075222, 607118165, 432437645, 177917724, 438041700, 781427122, 547762060, 165271797, 104838261, 649679134, 567055580, 38186950, 397374842, 558812470, 304217933, 558908809, 280683773, 1047523733, 1014531227, 111678345, 881883316, 392554267, 285451806, 138620578, 1024955276, 690045105, 589426679, 413550613, 254610011, 424022442, 353509604, 1043352670, 161770405, 1009437296, 363352407, 881775541, 654092533, 57124591, 748869838, 821916285, 190232124, 194920314, 505547972, 422506885, 724336470, 775049806, 1042973423, 923512684, 924141597, 887124965, 267779774, 40579359, 743880494, 1042658316, 520094860, 102889983, 902792477, 1062120972, 998335102, 455739441, 253212527, 843112437, 231909993, 450358481, 999332447, 365565736, 686235419, 1053400977, 310056905, 558211813, 722523975, 366573344, 523364460, 19491251, 302191080, 177434014, 1040518129, 1068889080, 184131619, 424028400, 63480523, 44141175, 16761957, 941663990, 455942420, 547716517, 866576022, 767812396, 720912944, 854754724, 836708642, 24379188, 239242906, 41299081, 390153019, 635786644, 923408331, 656472286, 726138215, 291606235, 179746252, 974368360, 947576134, 905034266, 175516155, 695001418, 132753759, 339286597, 383976915, 534059378, 201679000, 90680362, 18070701, 395883097, 448388848, 1045982901, 505110244, 1054785090, 520374491, 1003384117, 653621515, 382895367, 173513727, 78180843, 90674970, 239819319, 498495028, 640012039, 849762386, 548448998, 892234537, 577752943, 352114983, 823594304, 712190679, 1027187802, 186100900, 879813218, 383119400, 269494581, 820466597, 764711122, 847885435, 711115557, 210316293, 599925602, 1024177856, 464320282, 422978626, 677469652, 4833117, 541139255, 599948854, 781593167, 592859657, 748474381, 7274937, 455859941, 508621390, 452403212, 636665867, 822119473, 144830462, 556750598, 1006903260, 581044455, 824874282, 675812815, 167896044, 962138616, 603271369, 367179950, 739186941, 366986740, 41297912, 879562795, 803884811, 14505982, 784287907, 33819248, 405252721, 589115392, 244165447, 1048371113, 48145728, 415293066, 651662626, 160813395, 265186595, 922972009, 1036397879, 488115443, 447448751, 492319035, 282780734, 865809333, 98098728, 757442837, 53551453, 742495717, 938825903, 606932287, 694703901, 689918813, 838390393, 791119780, 137601691, 255421262, 391873121, 726085359, 208823242, 350129346, 867696769, 623875199, 378409513, 173287966, 1060585183, 102611380, 677641547, 744882199, 849358064, 798323874, 26451116, 503927997, 621751391, 861664762, 473974712, 993545561, 72328186, 710157694, 758699837, 198666072, 495095965, 496102943, 69764494, 952423099, 373881139, 231802653, 159030928, 790309190, 999990309, 419209119, 413275343, 35875200, 428443586, 163848199, 539794542, 959451710, 61904788, 980571122, 700886902, 716383553, 652547615, 1062976919, 126420064, 649419850, 572820207, 1032472468, 603923948, 399157674, 1025071344, 819719761, 234555199, 844832565, 29806768, 541240531, 455686502, 973948515, 324158413, 544507532, 26461390, 1044010956, 762098373, 672808202, 499184628, 650726832, 416427361, 534554483, 267124569, 349327599, 755955392, 139737851, 273106281, 946663873, 333308550, 820994354, 1013601789, 172239150, 796272048, 880744771, 937297547, 2126797, 42549697, 920101148, 592995199, 188413392, 523454537, 817408471, 656269612, 711346925, 1061053532, 744219984, 242949620, 859942770, 501731235, 228799118, 204438906, 766585443, 133865775, 742742550, 135119715, 683800727, 374330620, 873499044, 436643584, 284427401, 934739619, 344694866, 715552341, 563592597, 552770528, 215595956, 714022307, 787101385, 384650376, 514974607, 302157762, 188243477, 507622768, 899713056, 392794342, 136308903, 226918468, 488983719, 332631072, 51429886, 496659659, 100823915, 916445119, 728802409, 152077166, 935248910, 526549433, 717789053, 869239508, 45630848, 365920125, 806192064, 37601501, 174153441, 761305080, 288765285, 598340041, 284434868, 326934438, 488746190, 190006644, 936497223, 757996004, 1072920930, 687840888, 614358844, 752551845, 324939790, 666104519, 915084960, 594993233, 1030408362, 476894626, 1023733183, 787154057, 322190335, 137046334, 327714703, 768739084, 634704421, 897054857, 500429219, 951781821, 431297371, 92260357, 1003544330, 132966031, 126467901, 315470574, 309089868, 170474605, 180483414, 352197967, 281792290, 256084427, 866552218, 125267846, 478193552, 55110350, 139313868, 135300611, 16730118, 388581879, 908252756, 857639520, 501292773, 636380860, 102827775, 104254854, 105543481, 484355656, 445841842, 480278858, 844278393, 443917284, 1059996784, 623237329, 699389012, 564690701, 958652157, 206080915, 538276392, 738521455, 223660455, 834165022, 62623533, 264277079, 815876650, 573330484, 809250535, 300205502, 1006020465, 147748519, 119214860, 938208959, 84087548, 443294201, 1056878470, 100982425, 867291449, 693456083, 670802593, 677693081, 286317523, 202518204, 37903543, 545854993, 102005212, 618384513, 908718799, 614287499, 922857585, 753374802, 1036924878, 784315673, 555410466, 285609796, 807075616, 319031367, 568687747, 107229801, 744243313, 484275963, 461099262, 625503175, 179412334, 948623860, 178581235, 740138477, 106459660, 534960981, 996748015, 888607125, 13211612, 400549069, 508268210, 104011026, 1065529403, 755358427, 67175381, 623538527, 933662902, 769303806, 464595868, 561286376, 656662530, 745310111, 666300387, 996207632, 744812855, 1058257945, 363212367, 1064024512, 10631812, 18550745, 518240814, 259664025, 461031255, 608644211, 650620626, 293909677, 386641803, 417861758, 82852109, 254838125, 50351029, 538448670, 261882083, 115487515, 948895668, 752028146, 408304158, 156636104, 116786666, 30103855, 361179020, 850702707, 684957710, 943007535, 957802730, 885710817, 168913835, 417743699, 300265240, 564486171, 716561989, 888607424, 1039051747, 924731356, 727200588, 20375972, 586992509, 281070806, 702218268, 831287408, 989949495, 410180037, 63516094, 706914320, 139270556, 862606921, 874524904, 26454007, 546147718, 728343110, 242278588, 381222084, 588950826, 661139227, 1012278670, 1021605008, 501293656, 971176226, 86143121, 985526328, 953059789, 408369264, 391197769, 313416339, 558672571, 231497392, 524589487, 10993876, 623859773, 125814588, 45339902, 768112651, 979428076, 120201478, 862857950, 125204907, 820979188, 425826930, 331675686, 425284281, 528158442, 762467775, 336480638, 641277389, 874570130, 963767763, 445091427, 130832778, 178776736, 1003424367, 1004781980, 944444048, 826916785, 240521474, 153826002, 539643711, 415698257, 851297188, 755360970, 948613748, 57830235, 638671934, 657599522, 523172465, 1012888007, 84872378, 85394144, 371445773, 988196069, 632250192, 549926948, 899772564, 1003808604, 76306209, 341307242, 58946564, 871908225, 815755559, 648227515, 137055312, 927835706, 861942702, 942378002, 61276189, 59470279, 650237210, 233112051, 1041226463, 936358526, 974841607, 178825991, 150884252, 528666416, 245115655, 627003423, 612138834, 413605188, 102487920, 1022066075, 827632940, 30379219, 159954285, 773857425, 72682427, 591723761, 145072087, 750451958, 963659049, 939024377, 498447041, 876787950, 143977456, 788452166, 655859422, 396735694, 871518386, 237778371, 297546477, 679930791, 847006148, 1047212433, 619592506, 66078360, 935794691, 309332347, 83294854, 814271537, 97359423, 312394360, 533014897, 228312468, 206934566, 365392195, 67820844, 234779140, 802835499, 695295093, 660508981, 946926583, 669567115, 644019671, 82243053, 936799294, 150503220, 755324123, 79380950, 29582541, 309163336, 246366134, 856283567, 376215284, 896813130, 951328475, 495161784, 474103466, 148210261, 920675378, 906592952, 816970881, 82283060, 692283374, 288241113, 241131328, 702496549, 455671331, 623175077, 618907607, 355840643, 622898801, 1057448138, 307377860, 578397370, 16536944, 663149317, 372651515, 677976924, 909145738, 760524190, 387498630, 264007879, 225526902, 678823031, 778472059, 597373113, 494639789, 228665541, 162016104, 643240184, 125005562, 12813646, 646652666, 1004915507, 452875413, 553118773, 9961348, 327833868, 354373830, 398468028, 220026911, 416105625, 663080513, 687163160, 639189157, 610964962, 450977842, 133915636, 985377704, 856900067, 697413456, 714967786, 973510853, 922423064, 1046467237, 1030135913, 257027351, 195472890, 219780224, 629101929, 210481962, 821078704, 50806163, 506878528, 357609877, 1066129585, 1028142930, 162939142, 970620669, 1041808053, 648822623, 7946956, 451156706, 351536908, 512578308, 880457949, 289899380, 971511228, 855440817, 1024726341, 86366916, 894751037, 586057287, 61432466, 165477114, 535922314, 416067907, 970345703, 856116253, 1042206780, 804067776, 730385419, 1021562216, 532168067, 867346428, 307803507, 1016872594, 903460338, 460090181, 91531995, 11981124, 584481718, 2984282, 472458401, 536871660, 280614030, 51651284, 252759876, 191710638, 375433386, 435440781, 896013879, 200983647, 738259621, 258569708, 771477145, 272607962, 386961102, 501954304, 814149961, 557058866, 587374705, 515836660, 290962121, 89261924, 223454782, 397045262, 1017510267, 32077973, 333991245, 577780219, 841809491, 430418354, 697580197, 722272371, 4438892, 785357497, 266777760, 89993428, 942076525, 969902711, 833558239, 586581672, 759517921, 12790128, 769807773, 822264993, 154960317, 137681847, 798328689, 244706072, 186512658, 794678160, 522457088, 181275995, 736016169, 437365259, 366143074, 690505976, 349915395, 481969157, 784349429, 783378983, 450082416, 358613983, 177648275, 728727411, 818272754, 454085062, 671671093, 723682924, 400298850, 740744482, 630055995, 369869535, 842456151, 438733693, 614757131, 995818048, 356514067, 902149952, 464093074, 601953852, 735361455, 135732227, 121261895, 328373757, 548440627, 1001006906, 672973005, 700615217, 301847382, 152035534, 470056982, 535622410, 311472492, 491733775, 951691530, 219913145, 421263586, 492135088, 317206761, 370017751, 125868516, 649825213, 962207266, 275439123, 435450835, 710542466, 798463963, 486541798, 400289620, 925304867, 801316192, 669621752, 259083285, 205962136, 745699016, 815534330, 385176552, 1016224318, 368805687, 717118144, 105152408, 597891071, 562066515, 420814145, 939674734, 708880358, 118609197, 748753053, 13284960, 648732664, 748216039, 550024126, 736154004, 538561969, 888679740, 594800753, 897514238, 521986642, 533309472, 867834411, 147255603, 762193873, 645978102, 911754824, 461519775, 739280621, 209898663, 453091453, 772486364, 330285568, 756043550, 249438459, 391472543, 720141107, 889022208, 615723658, 1009700562, 284107816, 697373844, 1047194545, 927887710, 794591886, 679972015, 993918535, 622736688, 118984724, 57825420, 948785989, 172700498, 764852609, 840421044, 310367687, 621721524, 593453103, 306879558, 156787609, 173031465, 101477351, 851891125, 298375250, 60256174, 837832804, 531607739, 976069970, 395605097, 767247459, 280846209, 634779691, 280865234, 414380080, 772600636, 306214428, 1011437819, 505197313, 474258787, 734615571, 542998872, 730882967, 819183750, 1006307523, 158822633, 1012201335, 752757490, 96848954, 382012820, 993109717, 560470125, 1054735687, 161563368, 18535321, 310416727, 96739310, 369061104, 836859928, 583714005, 867573261, 939054660, 233106151, 678376200, 94715495, 833920855, 998807581, 61200527, 873105089, 402067639, 230703149, 717711390, 404724271, 122530361, 1013487348, 204350356, 613252005, 765732692, 161954549, 756631662, 502864376, 690051581, 446877183, 976082819, 1050225397, 338155773, 984453191, 852419831, 604921532, 317802484, 647052416, 567375637, 807096667, 641589521, 383190546, 1024741493, 601930619, 962646461, 591392002, 31504354, 656104290, 776422446, 467721705, 288155279, 319308733, 231572814, 1053450973, 992002384, 853473276, 390846003, 598352751, 83738147, 310141502, 135326432, 78899865, 105977026, 529329949, 396709600, 1031623683, 1067048136, 318902209, 903593737, 610236312, 403651036, 657167308, 255793414, 773262902, 959221033, 51234448, 406150872, 278283024, 296432662, 782635304, 501301964, 724418884, 150068836, 639139610, 666978560, 901055115, 325830657, 590765679, 722234546, 667951053, 788571462, 36778742, 501020189, 614393896, 577957740, 954804605, 458913318, 324770468, 1039639682, 817840525, 705550313, 747122018, 597831, 665080788, 830492585, 820908567, 423229979, 33499688, 524304121, 338115400, 129568551, 853616780, 192787707, 519608878, 1028021157, 905253019, 587649366, 1039773070, 47761155, 1056076138, 569190392, 255757986, 666088946, 799699122, 298230120, 844036162, 393648209, 101545067, 613308367, 70416760, 345311996, 931334638, 539092451, 676945174, 487518614, 902855994, 167960569, 746271330, 180532810, 428332120, 581661388, 928472159, 750947834, 698479785, 427910980, 621283599, 752069163, 882418193, 368518799, 33036274, 993448536, 655012998, 88645867, 574817586, 598998868, 137694805, 873081265, 1010751922, 158565009, 138940353, 420969072, 912828749, 552592365, 435756099, 910736887, 891679965, 653094453, 1013783476, 296925823, 888689294, 831954730, 416721619, 926872974, 897793119, 626796562, 726694705, 519458902, 177182993, 928186075, 492489489, 914820997, 171187848, 294839536, 490268659, 549685002, 321802625, 837777398, 1033539478, 586103926, 95887358, 804700735, 216294430, 1047939251, 459551196, 923602952, 123100486, 282705918, 1014566168, 435933339, 486988108, 695391679, 584740080, 448730137, 391864993, 301574828, 377150558, 471373023, 473468905, 295271409, 982841867, 622102667, 632118073, 79471528, 1004057060, 35004159, 330968693, 424360618, 455657023, 927233730, 208400932, 974084587, 336008192, 563577199, 745989104, 96758616, 39757563, 3276232, 779828057, 183183631, 910783922, 950235374, 611915526, 30731850, 677553780, 849973219, 337507390, 830874938, 664914091, 331776785, 909403077, 379018640, 35073035, 177538008, 698068131, 924230029, 128304104, 192863774, 936802784, 598888284, 370997373, 482874588, 225551537, 382897852, 25873619, 165213700, 215272104, 1035065124, 546268807, 89887538, 164120296, 89422643, 855688820, 675543188, 417598492, 814891469, 322691610, 979714130, 244359178, 1059403477, 504343645, 1032963896, 234548213, 430134677, 689247430, 110228930, 1054132421, 976438205, 942784770, 326310912, 262396140, 321231362, 202339853, 893995376, 569791299, 174980435, 422887292, 408612562, 182997826, 31000860, 244920378, 520756218, 197589231, 638492714, 986269677, 775602817, 986164308, 797776748, 137576390, 703226675, 431684304, 68188082, 400354005, 442891756, 853522169, 693172709, 333700373, 588319124, 469923897, 708623608, 467572273, 70480099, 754832411, 675415502, 26092354, 447555945, 203760320, 498306044, 204853839, 538163984, 452385384, 382176278, 3428184, 927965048, 327336817, 803450708, 955963335, 340302655, 896207584, 151059596, 890548974, 304867235, 334713978, 858374493, 707588300, 411175116, 626624935, 422612743, 258520053, 863957349, 248958373, 610484258, 872414768, 755681302, 949960394, 374357168, 592739791, 425968594, 646747904, 477878178, 840998223, 1019806835, 947475359, 1060560489, 652972777, 449478219, 154277778, 777385186, 1000626144, 300668993, 931044666, 954237686, 315714001, 742586942, 840780574, 595448058, 392515593, 70134996, 927869897, 892165539, 924206083, 1060753934, 680768450, 508858576, 751348040, 1024239355, 461533870, 475655337, 975916257, 415174454, 363907312, 1041534931, 568605433, 114971777, 316273049, 228279476, 1015325313, 565804834, 244117651, 11861333, 664881186, 797943288, 374556869, 733043782, 492890801, 698172318, 1032598733, 1010222566, 211008472, 39002194, 895484919, 20229070, 246676905, 340886629, 912754583, 854377791, 687370731, 688775981, 165831150, 265197893, 231257544, 686216714, 385764416, 88708802, 47370100, 670465231, 996875882, 642901129, 906832067, 823275491, 307014175, 857168957, 867950876, 490180499, 343944765, 7256395, 1058488039, 105265583, 828566664, 127495009, 409428704, 813173943, 866773364, 828642973, 431617615, 116096052, 517435945, 21422459, 912271916, 283750822, 987582288, 718166810, 437641921, 829676127, 545185399, 244737029, 381877819, 575907815, 961539472, 104071544, 577780269, 753213008, 109911276, 408197346, 252316979, 462006619, 865356683, 800343387, 997403453, 527594839, 403176515, 115054004, 368525307, 462952706, 613323082, 107755830, 397134581, 930477652, 1035104993, 579770171, 195414895, 56047318, 366038841, 652900931, 324880169, 613180333, 501094376, 782805721, 808840757, 1047392739, 931826952, 62120289, 475673144, 921240483, 847229797, 941319237, 485404472, 489075444, 978483642, 935938019, 149371498, 541948108, 799494850, 910985466, 933759993, 110232819, 87565792, 574254540, 751837959, 437254384, 850562026, 89646163, 455339543, 744524523, 211324583, 982728577, 619111344, 1014176036, 151464272, 26518375, 1027867314, 537100829, 599709886, 313033306, 41002269, 845437019, 892386683, 60611980, 978987742, 973900282, 193488475, 102744418, 229408016, 776519396, 334282556, 994022331, 257064903, 71985045, 338341691, 312136833, 416915363, 882030766, 584116035, 134258156, 764447972, 343336750, 727658713, 663991692, 787010289, 606801561, 611186640, 795308456, 1018284648, 187132993, 234439306, 795776233, 244935344, 652982104, 979174727, 904009689, 107462999, 992897018, 746238470, 814027151, 784607265, 231019064, 605468016, 202532472, 219448447, 752174177, 713426128, 823782697, 446925700, 200485339, 346258006, 831274705, 496365120, 439888098, 731274726, 443873538, 7602711, 436015586, 547649927, 327900286, 767775464, 567179621, 7633224, 388822293, 716822805, 149520737, 579495864, 660218391, 83782851, 484431949, 348847687, 472172080, 357156189, 304567284, 387919643, 609522639, 582973246, 818790136, 553869981, 585438736, 594762470, 13786444, 339855660, 206439091, 461541493, 842065157, 33360973, 373995123, 755788397, 976790825, 88203148, 847282768, 649339927, 763420493, 102556785, 992782488, 93209276, 381603414, 512059720, 686199047, 128568013, 970949383, 312883708, 783737441, 815067625, 330884713, 980226027, 814746723, 157935860, 140682637, 798639625, 841120139, 978208353, 193947431, 906824880, 815555871, 682496453, 99862446, 603972386, 792019595, 687351044, 1068427427, 492648393, 797200567, 614891993, 1031697555, 82902866, 959208886, 265075632, 1037224103, 1010065612, 110672611, 82251137, 884717736, 334422821, 829725598, 219459869, 474848402, 732182339, 184236813, 1047365317, 984260970, 642827343, 314866538, 625302902, 494477601, 590224867, 717130897, 187707725, 59384775, 410282037, 937700203, 138840942, 178352190, 609836902, 43289737, 773773959, 49800251, 600330431, 40879535, 946886866, 427269302, 720544738, 445166256, 298661453, 715844857, 169038862, 335275063, 984666374, 40855427, 755242945, 900817944, 1060248994, 1039080971, 721771682, 335157092, 16925673, 622953524, 148065105, 743117551, 413869632, 494192286, 743783807, 13249254, 109827098, 23532585, 931553004, 268789394, 959193672, 366724229, 952513645, 690538590, 721026785, 971301156, 1048704701, 720678085, 405190204, 864579433, 180662091, 988668062, 314979957, 623328552, 275941873, 220750844, 169745649, 878611269, 138243305, 499679083, 142676473, 51604056, 249989878, 688202006, 539998603, 455575570, 230699259, 148925536, 32425314, 213445396, 1051378686, 99420626, 138409680, 110765435, 806825546, 111737421, 15613587, 201270005, 475003641, 30956594, 239631387, 527740898, 1053964769, 807491206, 477847904, 289108731, 643864396, 1057077242, 430027311, 851042441, 232387339, 896021698, 177448445, 490585083, 635916212, 93092271, 607206238, 325785826, 169123589, 90017608, 610703191, 210568990, 34688913, 870445068, 688511766, 236988740, 563592717, 518507977, 945430164, 383246721, 928978289, 715521910, 478941576, 609062797, 899744478, 631599388, 1039377944, 399409003, 241523843, 158213192, 877480098, 267749765, 844405413, 697405564, 816050919, 982742347, 94149241, 1067726220, 989082630, 560268104, 503730326, 50083107, 153852247, 627837982, 33326447, 199823777, 694166439, 149024488, 478153694, 915448223, 818522223, 934173754, 134181618, 46046389, 90912936, 400964108, 320384553, 685639750, 565917512, 16157141, 190782128, 180286231, 834747604, 293936969, 372020371, 723638296, 735293320, 742147192, 52939693, 112249843, 814387703, 1040677680, 973563030, 952795412, 210566470, 800984530, 117407700, 1014756121, 882692256, 1063449315, 55565985, 1027755800, 654140166, 1020635989, 1005314068, 397656027, 431496032, 803666885, 43792376, 734222736, 712847933, 118692986, 285788285, 367227714, 896793967, 598911711, 398226170, 415968272, 622339698, 404676809, 791456584, 916128911, 253403549, 81902720, 1070779604, 56326622, 303276760, 936918911, 3899874, 1015691378, 158753872, 7602416, 774165872, 464257884, 851129427, 886064302, 844888426, 946055185, 466434145, 737403580, 117941144, 368849572, 96698036, 611326017, 622891698, 454514902, 485225551, 782918121, 630863485, 198248558, 470090434, 667414054, 108634237, 646123391, 318789369, 353905644, 632366220, 800604319, 148331905, 100292349, 529914658, 679184288, 384139096, 1070248512, 606718034, 959345929, 918157285, 505544252, 796009260, 25802084, 920511095, 466580451, 65401320, 338440482, 674854205, 264321740, 915114134, 841352752, 543584379, 191521194, 576160017, 649837416, 912829395, 147612182, 113489971, 792012044, 289970749, 943993300, 672805739, 669630952, 118923002, 997756263, 845405176, 479528129, 424882236, 443420847, 276958286, 556756536, 1022878873, 755363100, 220983021, 745614132, 939506655, 952197020, 685063986, 882679814, 652869245, 814199850, 923548590, 334078939, 827461857, 832721137, 527560592, 523627315, 407025504, 636872740, 828508522, 510330320, 621150853, 885894507, 172910255, 679210268, 17925117, 1038179172, 174833377, 269240754, 732399466, 640252497, 950897512, 986783430, 309619819, 567142962, 833968138, 537637450, 321813900, 480944659, 862780699, 772294302, 88479288, 1058985670, 886735139, 798890570, 6293124, 339330898, 246938108, 244675079, 726796352, 1059263973, 943605754, 208579838, 1000321254, 621676540, 345243309, 67710026, 1039839472, 746873059, 683044912, 505434462, 505628914, 933866765, 109274506, 437895573, 74586693, 864796363, 468500501, 147238950, 308289904, 250096787, 999027068, 639062510, 812494455, 730295687, 90941568, 574300079, 53537644, 728820573, 356275095, 660829138, 969657417, 811241562, 509771970, 50628305, 209199452, 970050895, 38783172, 1070304388, 295793448, 672280016, 394220443, 546713733, 818168396, 562183190, 96501257, 528685610, 1007763911, 1071324693, 835617457, 770540286, 160917559, 1025527992, 392593014, 979269596, 972588887, 807967467, 578398534, 1008254170, 85575533, 637868033, 26307141, 608464821, 1003042500, 613722520, 383916083, 814101629, 1016445801, 427982453, 155600873, 400961106, 85275363, 421493044, 1008994193, 463138829, 684128779, 1037384910, 693587779, 35159010, 886784852, 235956856, 571589824, 854247445, 346501244, 880636863, 334060924, 711771000, 922957543, 987861449, 486743514, 208109323, 743414694, 152506611, 375629855, 159754931, 925254, 861451453, 187579016, 652482430, 98276126, 823518476, 388795090, 563947983, 949878727, 499609485, 837043584, 193763467, 219978899, 119823609, 808654424, 78960164, 719133592, 713284874, 998003820, 520680325, 1016826959, 159482834, 904232764, 332199633, 222267755, 345226879, 859527026, 540749264, 382788345, 626912834, 450927173, 619059758, 79221542, 816769154, 118945641, 675121645, 579947291, 63220399, 367688223, 1062154916, 864947856, 888092286, 238719217, 812757525, 685663188, 258454010, 1072768154, 509648841, 77075520, 353933674, 111312357, 230684447, 225632928, 749420035, 15738550, 929695929, 354659527, 241974929, 399729613, 916275547, 498938452, 632037948, 555315409, 496745052, 564678705, 577494864, 372108415, 791738085, 624258195, 983230043, 818460269, 320244076, 119615809, 356600886, 53876206, 646906216, 797594047, 459070602, 764070592, 832961273, 917454030, 401210420, 828554844, 134506766, 870670907, 1060147481, 643872538, 1051056941, 517586782, 569102737, 279005870, 183633419, 247053410, 40764641, 1048758955, 898285058, 1003308320, 1068492400, 836525751, 742047818, 157860278, 517761116, 316003498, 657086283, 287629113, 487455782, 69377413, 367711989, 744192921, 653358292, 121808624, 153490140, 133399928, 373597551, 447474506, 653176422, 639492846, 304362191, 732563737, 353613208, 772585021, 534783139, 118203698, 665310657, 764241409, 461847166, 506055764, 636398918, 433192613, 980894412, 478659475, 229653627, 840890435, 641824640, 640957199, 357214023, 672427850, 486012205, 108945479, 1064164575, 653060805, 699551454, 325117457, 441287977, 382747583, 71750534, 1031592528, 159234133, 964471064, 893964587, 40119044, 624055058, 475593832, 386890419, 242483096, 820563491, 376808601, 552205582, 674501237, 567420753, 111024438, 719627010, 850128474, 690885779, 1046205132, 199625818, 544437429, 877467428, 608814841, 606092868, 677808412, 421526179, 822694596, 76531722, 708292192, 217414748, 1007037191, 703969615, 960196896, 419243254, 26338042, 470080970, 283942306, 44095346, 360682577, 14384291, 271046855, 581428520, 650799137, 256965750, 105443991, 544030518, 589099201, 626200586, 887194621, 336732746, 71508476, 93725272, 810863029, 61439741, 21414557, 47609492, 493618896, 18534010, 546546026, 533283273, 256242576, 720163787, 1071665081, 352339287, 816724741, 148442071, 195152925, 815627695, 343172171, 950073223, 684629213, 829267573, 551103494, 458357716, 1049695214, 811730905, 877922735, 648457048, 812061050, 296289987, 561241160, 659130536, 44814873, 674311411, 614788258, 37617949, 1006751301, 779443492, 49774535, 175537950, 929982436, 163798086, 724774991, 707900161, 425774797, 596767295, 1046948510, 23368759, 363854843, 1028258149, 1012261592, 129078443, 35059546, 90832022, 568879137, 722838731, 689479547, 237757287, 93114526, 1032993928, 437238840, 100615709, 960003241, 617357276, 621893111, 823021444, 891489290, 440134693, 891993733, 574923845, 25564073, 66454637, 899848770, 198924404, 742459616, 342246646, 143804826, 1062661583, 100616421, 40161332, 772476984, 207166881, 38672353, 385942392, 105747530, 962121904, 834597094, 511543357, 681828306, 486848180, 323631920, 525664132, 607053265, 778392075, 275370731, 1052215507, 590995417, 859467532, 382956844, 209702331, 459715136, 460679691, 695188844, 499835501, 342539257, 829432861, 120078715, 635514441, 942220501, 599464820, 510885929, 572445508, 88678123, 159233792, 475698704, 364943278, 21692401, 284248255, 1007031956, 499528595, 95158451, 1003162490, 215286465, 68878139, 694159022, 45419333, 2685007, 433483466, 311045713, 163792385, 1030143216, 225815774, 1067947792, 190476519, 830079995, 1012675714, 81137547, 385485903, 859698154, 525878994, 1042138331, 607207950, 658969528, 211323829, 797815712, 621950350, 641284287, 672503701, 3805268, 573997311, 365387775, 898513962, 91433400, 351686547, 660913751, 1032761467, 645562899, 171264440, 40003077, 241097557, 691404057, 312138451, 155209498, 902834194, 203509498, 124078777, 524671244, 664226676, 876562252, 544302221, 1013776889, 927912385, 481711272, 341942152, 43139740, 112294993, 146957964, 696921738, 760766786, 717408637, 535160349, 875495438, 434720006, 587647716, 216408091, 329381230, 106054234, 143004054, 418168502, 30662800, 1064571715, 610752706, 1034809968, 446559190, 140228334, 630040047, 673793894, 700393403, 553197454, 825695448, 839267755, 539290119, 801263091, 609898531, 906203910, 310340932, 612314516, 292004917, 745658633, 697686640, 566324597, 161528851, 599859807, 163302047, 537315543, 609204928, 873542200, 191248706, 230911852, 323709888, 412191739, 199268419, 801943199, 611193066, 303349952, 11631857, 554866860, 1032395965, 891469092, 813672934, 459444183, 573134223, 616432559, 922531390, 799008911, 318413496, 816620229, 1063031410, 445903200, 1061110871, 1031733814, 826301570, 99704924, 428732361, 683145345, 133098, 307496929, 503803407, 428152713, 454121107, 363181833, 347428107, 743719693, 396339406, 25159041, 1024502847, 181939768, 1052090555, 71380715, 685582855, 302103909, 883571535, 702390079, 208847721, 203256064, 633973028, 764707161, 1064332859, 486673803, 1019445841, 691442678, 1072147588, 1031096413, 564084647, 931908499, 946893896, 379845734, 16349619, 1051461797, 960659695, 821542018, 990271610, 564153281, 257355642, 179652603, 419844267, 489172712, 531159129, 740852655, 93415880, 521267949, 553128413, 387188963, 917106289, 22425425, 489869891, 1035038127, 483002844, 782200168, 154234613, 539871584, 77892549, 140761701, 36525756, 428381266, 292866033, 308849460, 122374949, 518387320, 299867628, 493435392, 305864237, 501436416, 846844474, 283927552, 370861633, 330264300, 612780026, 60420333, 145124600, 112994134, 845848027, 418734085, 391999946, 295975793, 305839074, 902554184, 759802280, 745962306, 950504889, 1073645121, 684793622, 1038396122, 961254090, 34373542, 521148110, 305988237, 644529511, 696373878, 460558008, 196230693, 623447069, 165030489, 354366324, 343833929, 251753978, 2937639, 70275118, 137977125, 830812986, 64076651, 673902414, 354012733, 884947644, 348584633, 1029285905, 988368539, 739265458, 440360122, 963146668, 1040119287, 937631105, 604668005, 188857786, 141883668, 534349121, 599170379, 520703159, 722579888, 610211526, 1051397209, 223401036, 997164487, 764341127, 603813304, 752389214, 228790135, 967699685, 595864606, 667484854, 430180263, 772963177, 63266014, 243372879, 807282949, 359902554, 849784607, 145080424, 529772737, 436505955, 244775749, 546482669, 105915396, 362799757, 956964688, 591761955, 708716411, 1070557974, 1071386706, 1045355573, 653153285, 86999306, 176661335, 1040692335, 399168180, 55707985, 22268230, 136868565, 242510617, 863828519, 1032305450, 118709043, 796895280, 1010264453, 136994097, 498809382, 688483690, 789914734, 192823919, 309986985, 810737356, 867190758, 1070734417, 681154117, 23870182, 437694074, 192285407, 1027612094, 282035444, 205172240, 1036800805, 114100336, 478043016, 10443001, 195623792, 433157032, 689897224, 905282459, 410438070, 30542261, 59240537, 980598151, 401006429, 593077132, 875571921, 332462755, 472659025, 472089952, 220904266, 112636273, 151936624, 466477116, 606034141, 694452951, 1062301071, 570218496, 785356619, 913342915, 219393556, 21256226, 274322590, 748301008, 919702378, 77513624, 929911665, 1070659914, 49265162, 131222366, 125807895, 1019306055, 616044457, 124630464, 681451299, 729829208, 55644660, 613997293, 127006241, 890930657, 658748524, 963460488, 81563069, 509364818, 593719494, 245034512, 516148729, 492671256, 102921035, 410293040, 339971403, 330980264, 657996208, 651969289, 500166580, 706550049, 676189272, 814945877, 642409943, 462258268, 273644345, 980369228, 264947121, 521721624, 529560495, 795330966, 374108179, 17829209, 1067913108, 689463496, 316037927, 1043632007, 802277890, 482510467, 946282190, 1050674745, 214536940, 256869521, 662355172, 491168998, 638710370, 920951920, 653337439, 54153776, 556923293, 427896235, 238900267, 794525298, 1034618996, 103733644, 359094963, 882993924, 266027676, 996409273, 539106785, 1013172627, 609193924, 822693901, 515960344, 226288074, 55856979, 173686567, 679602119, 686832120, 293421815, 726645218, 829721283, 69240294, 264996723, 451651101, 427393356, 671737021, 426597322, 959749528, 931353114, 997562830, 578449898, 1057104248, 275018071, 477232649, 324870785, 98552768, 35894048, 38530014, 453798855, 355799223, 583868513, 1068108803, 391036080, 645241978, 172470309, 818248298, 1056176989, 118456486, 175637560, 974287010, 626873987, 139252978, 186727099, 195754126, 679308438, 198022704, 343418830, 1064424928, 724456511, 1019769279, 736342639, 81214171, 146643869, 852880456, 495803392, 541669768, 1047147084, 835280574, 130301429, 747412057, 792925854, 918890754, 724599719, 603388582, 272706859, 724737522, 432616370, 178786757, 984865497, 1017918281, 131024311, 373762157, 581720328, 55511242, 919802276, 142255875, 854220136, 233964587, 644923941, 206945489, 459479636, 371924570, 618123890, 255625996, 732996600, 10979198, 846663603, 392346897, 1004895872, 281817822, 864134937, 415575259, 120368165, 766218735, 748640856, 48915328, 532050125, 1041961944, 256708668, 78697644, 249402222, 197885061, 246882395, 731311324, 282323006, 1036304900, 359940713, 224979719, 121668873, 928767045, 673014820, 513779071, 842519026, 335613404, 872195837, 46990862, 886636112, 64471975, 638461493, 756053890, 938494178, 680102563, 903096762, 118337149, 6304205, 531955643, 1058159480, 534494609, 44406104, 1044191547, 725593372, 934796099, 228054071, 208919164, 1033431820, 901340330, 606832929, 974992492, 819098414, 322375433, 587096823, 728370133, 711991941, 1072118877, 1064947206, 826289988, 842807439, 190960285, 290627796, 956647167, 919028028, 754268924, 975198586, 621960967, 1057219390, 836452368, 253644756, 623817797, 234666724, 684453722, 197980954, 355238660, 161056174, 261288176, 1036161375, 810135516, 431778023, 425568751, 596289256, 590282870, 381094872, 864870298, 376162573, 971797755, 568248780, 691270220, 778537459, 82263046, 797484011, 284272801, 87576020, 212737774, 405168691, 708546029, 95577733, 296080805, 296327948, 363571720, 516231319, 221572315, 105586139, 484686605, 364693791, 518618294, 614449796, 399095444, 917360417, 288402164, 581928370, 882918978, 943882308, 693668963, 546495023, 244300529, 362035995, 407684829, 198326076, 757935725, 61471098, 750354887, 825175895, 790696299, 742596665, 188682555, 193414080, 380161056, 445245837, 36686204, 529899073, 246619559, 744908844, 1028545196, 948828132, 24120033, 372791395, 943032393, 79458837, 676690434, 20647972, 26003166, 416339669, 793196506, 305959599, 1042223852, 65090540, 199873171, 637182223, 39362326, 380152332, 755755937, 751206331, 417111250, 351555190, 100573873, 546536767, 514800711, 612791879, 192218971, 712371198, 785958830, 1072484945, 5220184, 658428238, 990079420, 1011944746, 542236038, 264593082, 276952035, 559315979, 899002960, 458397280, 1043956505, 85471271, 1043881995, 126402176, 550407324, 739069356, 746785046, 366925737, 5455796, 481450998, 220676633, 391214463, 380057980, 566286781, 11098720, 152939081, 823884732, 757945864, 834249687, 239186505, 472165347, 608487783, 751405069, 151211042, 64187783, 680624146, 171896621, 799050013, 94736053, 82832334, 98280519, 62326078, 490327996, 701381615, 1022133300, 1020182510, 243832440, 33445255, 165431002, 496096640, 1006877955, 97764309, 297792309, 693500071, 250359953, 210192145, 577855806, 609255844, 949974958, 914191001, 661475533, 395048683, 793905924, 782593348, 907410575, 512044327, 851937231, 201183382, 209818235, 996188184, 551214054, 861745635, 962961517, 490517135, 70626665, 967399776, 534542101, 567886007, 514186369, 255365638, 443895181, 842709904, 850322941, 575636292, 24156727, 432791419, 902949789, 742547437, 241623602, 880331255, 474475746, 697584249, 49274675, 32646077, 981156237, 182261692, 598376278, 903146336, 126131874, 948990170, 829072487, 369330048, 411432233, 755753916, 130324809, 838402361, 1019614772, 308547872, 235184226, 75134513, 685268277, 575775474, 208412333, 845756744, 1049715883, 860689690, 322813015, 825164525, 753914893, 775129132, 1011425134, 873983447, 868204867, 883661616, 157343309, 690007067, 528802192, 434336926, 763537220, 433401525, 236979950, 858082424, 991364789, 859236118, 788756934, 228398136, 172062473, 209624181, 1019882272, 537790520, 576309852, 224712978, 393934848, 709670731, 231814568, 572129462, 710418644, 524465592, 220003080, 921522217, 844182555, 210941193, 615403651, 524225809, 534473441, 181591619, 514220574, 93635542, 144391797, 904670853, 77016785, 673514708, 975260477, 1062685673, 12121455, 193062342, 1037967860, 994869634, 211210784, 648975024, 784820620, 991509545, 532966128, 879313955, 113868370, 857788507, 158047378, 554123227, 136087579, 610494980, 142869607, 462479074, 448015501, 329666593, 855770003, 880991463, 143525912, 927566809, 277271790, 68919032, 35417318, 263427594, 614954528, 764874833, 103759034, 103129256, 415473390, 419071888, 376372159, 135896759, 285146671, 566016361, 590757346, 311738070, 517975574, 228243420, 993002902, 237878982, 1056903114, 927362261, 877038205, 880068904, 331186714, 422256853, 445353483, 468458527, 456931485, 226546238, 949820263, 535350636, 285844376, 187568434, 71946568, 540708666, 175632016, 1067259029, 1026032819, 574023754, 996642517, 698156865, 586575435, 301422051, 1046837266, 798621571, 52269087, 499069443, 295838611, 777877320, 395885896, 964998568, 649827493, 754012575, 681103046, 104535185, 798565321, 187075317, 83145658, 507496141, 405290839, 460079183, 424424012, 14089921, 86886262, 160228702, 635614946, 761257951, 59734745, 88791682, 940271924, 81837008, 472939201, 35103499, 862417178, 27349003, 252507597, 420614175, 576951704, 50826312, 355093388, 62477544, 449927499, 779437463, 247357084, 557742644, 161564672, 702548362, 1049049781, 683564283, 630073440, 747025436, 479249679, 640824311, 219388232, 6319357, 83911325, 541354222, 567453007, 387040665, 603057802, 396689442, 950690954, 274391727, 522777628, 540716699, 140376066, 804595395, 24070507, 507408399, 197698441, 591588381, 615828284, 916989108, 196619689, 291924987, 942170836, 869496971, 626332909, 453366390, 771559909, 908866060, 643415067, 365839141, 457519271, 911641009, 606306025, 471828612, 67787138, 338377921, 385591444, 477195117, 160787749, 254746844, 349914221, 1058913815, 560866200, 505532936, 475415297, 48725522, 160569912, 482873953, 728566732, 176878912, 407822709, 658086791, 555097910, 466622683, 838581239, 387394714, 809941016, 984539441, 1205494, 229600334, 83340333, 369781761, 513956408, 19589303, 588888102, 796195817, 205022121, 343347136, 998234247] 45252)) + +test9 :: Test +test9 = TestCase (assertEqual "for (minOrAfterOperations [241273315, 1001151194, 1020274203, 113268625, 706746712, 664633219, 269870292, 283576396, 418383327, 930150216, 905375709, 791741662, 344482765, 682332841, 857797174, 707796034, 788295607, 100433007, 1439402, 630636161, 458652585, 654010977, 556033335, 853246489, 473878449, 169562720, 120638866, 1072139896, 205791626, 109581020, 612100373, 622267518, 670956491, 430521892, 881723574, 155488766, 931078318, 160229591, 476832730, 861228702, 825729015, 695542265, 621984502, 82152790, 705721334, 894498340, 1073640706, 834525609, 959389630, 913069962, 575364203, 898714081, 80843450, 377475832, 332784655, 534498821, 421949145, 1026229430, 324549391, 1071775346, 676180749, 537458961, 342859872, 762409380, 242194128, 492732363, 1070863927, 110329033, 644427965, 86036770, 881591247, 996746816, 252470675, 618268422, 63266025, 330121592, 537452118, 982763878, 382838112, 69311505, 525973357, 590734121, 349087079, 355922676, 89095665, 1072693008, 981260704, 388030128, 449684941, 973778384, 831796321, 135087800, 143709783, 31751971, 893244269, 103866179, 279257985, 528585843, 699499278, 136481794, 864244631, 158709573, 292580888, 318451556, 398394496, 860478105, 184867035, 1057978244, 878435110, 666547015, 682606637, 1686281, 22688376, 183365576, 686736311, 625324648, 1021867846, 879416336, 970984797, 1063998957, 567597049, 123164776, 738511936, 693117741, 91477429, 913591362, 42049852, 73078608, 131495432, 252982227, 599817506, 876207922, 694440565, 965770245, 580337058, 136474398, 193860753, 250618716, 248376657, 802660142, 651775644, 324259014, 549614760, 698928246, 142106038, 891833683, 1039117659, 268514065, 778534245, 47713731, 9185744, 43945453, 677088286, 459627868, 568484307, 1034697469, 124681048, 368443011, 527106228, 862799299, 669803665, 684248494, 383675608, 281757735, 436824114, 203134782, 830274410, 925081566, 579155458, 242740766, 637047311, 915659649, 669549975, 295017039, 849309190, 228420609, 840281153, 158289516, 566530882, 50078017, 850211019, 387748692, 487839718, 103341184, 904745532, 40155594, 45522184, 451569371, 775166470, 519002208, 1062801188, 267386398, 1013469014, 836256585, 256281044, 1010973507, 247691151, 534421860, 599530711, 296375316, 599476231, 1049619022, 869637203, 376034893, 749676500, 395344244, 120909530, 567533381, 1048274405, 457150770, 130715992, 950414071, 21707064, 284743902, 48452641, 400056979, 505913076, 161939596, 919825561, 923065727, 310279470, 134403466, 355629907, 405342776, 584754742, 1045324546, 684385039, 929014110, 966786310, 104603190, 215728358, 271229827, 968330698, 923864637, 328445182, 279274607, 993798591, 857604940, 910546564, 756927365, 1067225850, 295793957, 836341383, 402615163, 309836418, 248989209, 286184963, 1017511433, 1031100717, 6803121, 384591893, 152872026, 136792081, 799474501, 291958553, 568768572, 339298271, 505569068, 16085401, 657154445, 695840616, 510680748, 339578812, 238525898, 692385661, 830504480, 345932715, 289965649, 749877640, 256655806, 150656414, 825116799, 196272433, 876133769, 60522293, 662233892, 1058313836, 955772133, 83125500, 364033068, 968248909, 104960425, 422144158, 374258140, 66809471, 460996609, 702390238, 692743356, 559771624, 459235972, 421891838, 1003170221, 184915000, 139956438, 384974901, 613991213, 807555234, 480481734, 606382639, 784671207, 551602911, 750709603, 725264475, 953486355, 849230182, 865075402, 782223382, 879033390, 268324631, 816126005, 688310968, 714087495, 925797605, 529129976, 608808951, 273130032, 781611504, 53216963, 394160358, 1072631577, 980684052, 741339128, 734698259, 57825872, 589928126, 548426471, 252981262, 743618806, 132524868, 648478388, 333338012, 251269743, 567923674, 270934094, 291117749, 136202664, 385483858, 404907189, 845614602, 895570789, 670117525, 550571891, 345210103, 524964066, 698578885, 703537423, 209963601, 107661122, 878168214, 411252827, 251437248, 753777362, 634686911, 483757908, 662664830, 998677663, 268396162, 568906886, 1059313688, 739422978, 761596056, 191964770, 749472749, 956733941, 883707161, 822086455, 127163866, 876211761, 677601760, 8759890, 156820538, 982215008, 525328931, 843791511, 63613275, 560122842, 603891420, 644867735, 218695613, 1011787001, 1044003427, 999135037, 69600578, 316123203, 359216512, 308793984, 416559652, 641113473, 667627334, 642674442, 367510398, 926793168, 207760097, 545058073, 99788285, 438875167, 582428207, 901639366, 975851080, 918419499, 513165496, 823479401, 858451603, 284047177, 284967484, 179862422, 197167215, 367962468, 770241118, 363309629, 21244618, 691264313, 655053046, 230007166, 714016605, 648566434, 642298464, 725155558, 565317334, 299158757, 359323190, 559611717, 749096120, 676371825, 233643546, 176111976, 577755097, 758001277, 49040118, 825118517, 394096367, 195419831, 20997519, 827874843, 465211993, 1018845021, 867792803, 132562441, 621862562, 563465477, 500227230, 442008830, 269011491, 197875372, 970939100, 964310195, 234836700, 74015434, 671959343, 56928440, 603310560, 447325564, 973841813, 224954937, 49387249, 59539351, 409753361, 108214864, 322292332, 67719702, 82313325, 928526661, 1023271048, 26842873, 639645644, 146778865, 773448102, 778325257, 724723150, 750063944, 943611238, 284150332, 433831754, 944681086, 851305891, 352447456, 409463587, 63065697, 423438866, 789826122, 179870448, 785106029, 350638218, 815939795, 269240551, 965525598, 295462979, 982888958, 741668244, 567091425, 825186408, 670764873, 428896900, 585308828, 1017274519, 75010377, 572319916, 569399029, 892518220, 828240435, 380841945, 64410866, 282926139, 486784973, 622153181, 153098078, 674015793, 870620377, 213995875, 481674738, 634888321, 894890256, 481105891, 33833579, 56147199, 210131195, 987686410, 132177393, 667238953, 573144032, 146501514, 533509080, 722633072, 536167487, 525409932, 287783617, 296140074, 901502107, 331710469, 103936697, 706907510, 405172423, 714088208, 588927451, 1018741173, 500417634, 201509879, 529561713, 297694774, 34617314, 626682150, 729100160, 765622639, 905903448, 242084675, 47592511, 761703499, 173752098, 234832302, 646071362, 287747259, 785426015, 580545268, 371637010, 674928811, 623223690, 228330243, 493797040, 9502078, 1025560475, 1007137732, 402444432, 910218288, 918356519, 683941697, 1059177979, 957305674, 111438243, 307269400, 297010404, 567984020, 36680370, 794976402, 267135482, 913803354, 915710705, 657113564, 829422902, 981113486, 328926680, 991764363, 904069256, 1002462598, 680903191, 595024754, 671111081, 634634649, 575257989, 1029410717, 803572739, 678949168, 239128123, 881696192, 918263301, 18268837, 654044549, 73871496, 896835093, 499720060, 348496862, 149760232, 628991143, 1036155316, 293809270, 222321647, 343202422, 308910965, 641450521, 553321895, 96280274, 549584205, 31641925, 150923145, 814149916, 283260868, 241770829, 474475364, 653602877, 732524951, 574791191, 610379116, 241622527, 859448189, 822417134, 480942054, 244848305, 766114823, 1055333841, 150232648, 87424530, 303225978, 875406391, 547627152, 1030375872, 185819130, 1033821769, 396364580, 655065773, 268664675, 72141484, 2630656, 452536347, 842386356, 409609243, 426001540, 885408200, 75615195, 305491401, 958017056, 768338913, 772452781, 378759351, 329865747, 154558470, 614381921, 962579802, 247366285, 147236498, 157212304, 569942403, 449817152, 113903162, 741172282, 973591164, 902302590, 169326343, 334316831, 234782159, 130409207, 328565399, 326247767, 824947900, 304257633, 758833910, 777265266, 661308195, 292539047, 853120769, 767851282, 472662963, 989211964, 632618421, 894278472, 373660834, 808328822, 528489900, 474033450, 283307278, 777682921, 897151186, 70656521, 551587198, 312181058, 255143568, 142558243, 316004422, 277005232, 1043137411, 906739668, 51581515, 288389120, 117588342, 820484812, 628368087, 143778181, 712772871, 199313078, 236954378, 492194757, 270295994, 550942958, 197138611, 859749691, 885525559, 479817990, 75493096, 806909264, 778548898, 223975914, 819767159, 885758800, 477553318, 856443716, 33464323, 499465979, 121227635, 1043419936, 593882869, 192197486, 116622676, 289293804, 147967437, 237490539, 684224848, 866095735, 1009965894, 975322611, 6883894, 578955497, 862414674, 604888229, 521534165, 708028798, 66557946, 596344398, 980183014, 531852954, 748392945, 790064694, 447362071, 178829074, 439983592, 258618750, 184498568, 174354245, 497554000, 903741893, 100586858, 999879694, 85168853, 1013825943, 534831653, 1017729574, 914309776, 264603985, 762572049, 844443194, 221548251, 660572703, 140271035, 666535568, 708525212, 1014015070, 113846825, 1071660128, 45521092, 264707065, 920970996, 646647586, 688334634, 886924209, 783307779, 282949041, 158437687, 938053425, 243575640, 857539391, 918195443, 422709688, 493373034, 632045287, 702298690, 126972449, 196714066, 78149469, 595068038, 259434047, 596072592, 215731088, 471101005, 746398316, 97990175, 242700454, 629903588, 483259483, 970908461, 669557105, 944494237, 71074355, 433074836, 226576797, 1060828511, 242682273, 47332950, 537455221, 854395818, 1007809060, 1052152845, 866354229, 600036347, 745443604, 1055342217, 521614390, 614071335, 224359062, 909145740, 847956943, 647995819, 609537715, 269267754, 792128744, 492636971, 380761192, 764386990, 984426826, 341796364, 130499520, 861463730, 954317565, 874801709, 519973950, 556304619, 522583574, 8777719, 388389048, 948698355, 442760906, 705661473, 906243361, 315936761, 928101379, 569521240, 1021659704, 768060900, 866877893, 526156954, 1064735473, 201587352, 80893259, 1052940610, 1068915753, 258595064, 246142978, 859342304, 701515772, 642905512, 298313486, 951136033, 981714142, 1012417, 670087256, 332805343, 126621253, 162042880, 1027900339, 612258406, 261223164, 1020183415, 299533189, 1015553669, 815307364, 1045817666, 85606564, 433676275, 572771395, 166914199, 748017326, 747171196, 398050316, 196648839, 1027539036, 562396872, 920208228, 688313046, 111612669, 638582831, 357373022, 329911872, 646638849, 742107831, 337509724, 740310489, 29788973, 582629588, 506471347, 331202011, 259625205, 843252895, 668589553, 63363287, 113249954, 876394366, 559278488, 392379662, 605136762, 454409966, 785769975, 768002443, 601566563, 282514834, 98944914, 791292122, 49150766, 750524726, 442849019, 230808661, 376639992, 226165304, 262971497, 376784865, 192448469, 12011241, 195697841, 95861542, 211932215, 836373279, 685938109, 13346870, 588693026, 150870427, 883523452, 180173741, 369833933, 782536229, 171484716, 752850171, 76217210, 79221590, 548829161, 411309241, 1004848241, 831110947, 458821704, 234528360, 402039342, 469450461, 751942231, 622964463, 221530233, 788362939, 730912148, 755362603, 327802309, 289837125, 1007640811, 385507791, 413601611, 913015337, 575642815, 393143232, 12158300, 704291909, 440963134, 647120901, 91279232, 532533120, 893885600, 20431060, 611923040, 917618430, 97972442, 713376072, 939352367, 816356385, 58693315, 272739841, 549232436, 1035997134, 544500171, 211791862, 407699296, 615373587, 1061899786, 736142347, 600706140, 344791400, 411268307, 1066019766, 772800247, 74920602, 57974424, 483989898, 474702502, 295762949, 512100867, 586863643, 215821665, 407272652, 58581420, 510167085, 763327680, 813261259, 103838941, 126103829, 815828981, 203439687, 66035858, 57018164, 597490814, 731969563, 223465562, 22286133, 213007482, 1792283, 824458136, 864114331, 176608512, 11010437, 769870610, 715407040, 1003751453, 629834130, 96398151, 975860766, 179016297, 1030980574, 32254174, 479341101, 462838460, 128290588, 1020564102, 459717969, 918586565, 981350899, 415786828, 783618101, 217321251, 900124805, 623664782, 712464497, 646549274, 43190577, 455256925, 643573569, 283515713, 522908059, 805703014, 816812518, 786262572, 430303890, 542767628, 153470414, 402540111, 301686657, 907553889, 943868504, 592857508, 251426932, 491557929, 116054259, 878364419, 1059167778, 951580164, 900467602, 666448381, 983716411, 857370620, 407444274, 358431551, 243126100, 853992388, 891313094, 11223043, 940766896, 653926608, 998299136, 931897489, 754619144, 1067567579, 557962716, 373455551, 198446876, 1019668038, 295427868, 819070238, 118176167, 34676644, 24700572, 1065094740, 268125319, 104080746, 457263869, 838824717, 306452127, 13494248, 957284186, 23075497, 337410101, 791643363, 602158222, 933572684, 475126794, 613802085, 948511410, 249348638, 246826980, 1017280079, 879229977, 3921547, 410150941, 112868903, 752338497, 247361943, 363370540, 608727123, 28380141, 661693688, 901798589, 585773670, 541132315, 1029245723, 636235696, 82955246, 721063816, 491303876, 355200096, 297396157, 440058489, 99636408, 159509080, 860117795, 659633823, 283871148, 304812805, 18665009, 549560403, 672395911, 362391028, 503571900, 694930810, 160163099, 25473217, 52381198, 369930929, 969380908, 647525875, 271117214, 667332608, 667859316, 540560597, 279304152, 444176017, 883238473, 831897522, 867423104, 811364406, 61896545, 742112016, 203268347, 181827346, 578299510, 396744337, 483207004, 890535638, 535687683, 395906574, 877480585, 497032710, 488826330, 203408259, 555317488, 496570806, 287866357, 184654647, 1053602276, 1058585362, 162710176, 37912521, 295860006, 574402263, 1064788566, 284979748, 429806325, 156891276, 443875722, 87114160, 538100830, 500878358, 649755094, 319695215, 977228586, 355551930, 231248796, 514455808, 56865785, 545057475, 952910015, 319041254, 787654892, 829175290, 558311183, 696009992, 119328275, 15022374, 951526000, 561938306, 132415036, 432849335, 791678546, 781980, 175616839, 1064994844, 402541021, 1054169817, 242156522, 201582713, 82440549, 566916865, 678877369, 428928249, 616230188, 457841568, 663573668, 737707442, 541006054, 491366354, 142077018, 813794842, 716404323, 551628946, 509883750, 861031102, 947436540, 1026317495, 1013765983, 899334484, 111077420, 556250063, 468704308, 1037369511, 171806985, 731306723, 443099218, 46623391, 905082324, 704339637, 484278293, 697833945, 984159167, 582427727, 617103373, 94210592, 218281358, 813221100, 299845783, 989646367, 675108689, 580095926, 176697224, 395406540, 163905189, 973738066, 1014611406, 761510725, 1046239909, 144622225, 954228515, 237169629, 231501964, 528434789, 487382985, 157548902, 692567597, 4183975, 440578784, 672329673, 395996621, 360236202, 270235195, 1039530156, 967191718, 63799603, 984866312, 281141258, 309578762, 7937183, 223900797, 434407865, 428336052, 1048998823, 503973511, 192376684, 546739298, 947693701, 122920636, 862389167, 845317488, 360909978, 667512625, 1073545794, 454536263, 830293132, 499477604, 281287594, 624799070, 813157, 150233525, 837692426, 144080615, 965093651, 472217887, 73632658, 835296859, 340152154, 712083095, 434045437, 24059433, 849386544, 762036120, 1050169195, 729671373, 239831885, 735733725, 458810097, 472452764, 585281401, 498965190, 759033233, 587015264, 248991244, 127161586, 689277368, 1016203546, 270508256, 472157299, 1016834113, 923892227, 130322164, 370002037, 99080193, 21362732, 404052247, 1058341966, 37803046, 748437185, 687944263, 676663501, 641187102, 953765056, 495311178, 626073980, 816186937, 551757776, 328022965, 842158913, 313806081, 373189055, 914205268, 84157985, 316590637, 909606194, 1007853048, 883240297, 981943823, 540633522, 1053640995, 372998195, 555868874, 535108614, 1066015372, 459265284, 319230984, 777404033, 469813616, 920045532, 128438600, 763840386, 934672007, 310669409, 90783701, 1061159174, 74175564, 589387915, 325447842, 504276269, 664901011, 337536773, 764211606, 77431228, 538406831, 301097770, 828891565, 582841441, 780772534, 286773816, 447785004, 158312318, 341032067, 967562415, 974872537, 1009280877, 497414939, 531121798, 266240668, 612599287, 718669105, 486458371, 881616836, 486842030, 882673252, 313916959, 153924221, 52535709, 678774961, 429375532, 574925552, 364164372, 114384865, 500030388, 533023083, 700881257, 68333144, 333986491, 246379238, 346673564, 627798764, 302553861, 582434227, 191285933, 473168218, 917377937, 198835392, 429500041, 631768487, 292366204, 898346907, 300729326, 61920281, 559379280, 767931972, 387134768, 284752604, 783257047, 955152515, 764316881, 802291840, 505108541, 391203896, 962193807, 353051468, 963460218, 522946333, 43646578, 681980209, 426464251, 874625450, 460324595, 106729939, 281114959, 60780377, 299960050, 368136144, 680243002, 424189073, 138370121, 256230254, 922192647, 717956464, 659212996, 242979205, 340593138, 616689623, 953807974, 828074471, 282155702, 71691826, 846231253, 291207480, 973873080, 893551756, 314546974, 870789663, 509169810, 644626315, 52302515, 367159804, 717087055, 1069506699, 570823527, 942419013, 965097682, 655685459, 119688583, 1039143990, 120415398, 579059869, 974181030, 431822867, 319858226, 634672640, 973504282, 469552293, 697508320, 31054298, 551793765, 541914223, 1045480781, 328584647, 678153225, 292914308, 111437136, 994057467, 198087441, 788653769, 529801002, 5890568, 81330345, 490656859, 1041188061, 830732195, 915841630, 384904663, 1023055296, 971207891, 498291466, 586485888, 357196277, 814136029, 169668587, 642638064, 984466087, 236597449, 363565983, 540434782, 1024794562, 917148500, 840270101, 635687801, 491630048, 78002436, 187136932, 1014310290, 1025248762, 737137208, 38050806, 930440544, 191462850, 271858434, 589487875, 902468685, 936971885, 95979214, 660921364, 152228370, 457421281, 1008515874, 972069909, 1065351808, 686264925, 599122100, 537365613, 675004681, 364828003, 136082907, 614672232, 617319726, 28703586, 456344016, 941652387, 1017323587, 477658398, 305482989, 440805692, 405074409, 779889087, 622311928, 333932653, 720743010, 976228114, 922036394, 900766676, 805818422, 288149115, 281382542, 123483616, 708056887, 110650135, 727532734, 667364457, 585119549, 178348561, 25446033, 632962587, 349866262, 934715996, 321535881, 1018523677, 1032403639, 725919482, 201564723, 715457010, 332843259, 960514308, 961421393, 459070843, 201296605, 92359099, 1054624803, 435173356, 434437045, 992932993, 419178240, 318034799, 872460703, 892649445, 449984380, 543511856, 256148947, 110847188, 646241369, 218750761, 323396660, 1022140021, 765509906, 538558348, 1003544550, 156151, 261539903, 598255243, 395121001, 955933956, 222251407, 171620678, 347690621, 864765941, 652235763, 168009596, 1061604394, 98922851, 525853926, 566124391, 645476733, 686111927, 741185807, 451998288, 182178047, 305724736, 1069976633, 40316467, 864235193, 499805687, 193774067, 226843653, 278780080, 184656221, 175260146, 286008996, 940990144, 223044773, 591131217, 622200120, 260572494, 702286239, 4848290, 679818295, 251125243, 274973700, 821558807, 859391081, 413457807, 774071238, 637928352, 266865167, 529039078, 95199407, 505368707, 769723256, 169240933, 151842646, 806429879, 811478310, 483554461, 102947001, 111517133, 338323639, 428462261, 530495511, 97324508, 171304358, 717949885, 973942887, 835499286, 853461781, 455862401, 620489939, 1036630952, 757601305, 748845039, 650340276, 969428442, 987511854, 660974834, 168143555, 640201531, 566620699, 647473165, 839184450, 421939774, 441973286, 958295878, 428148425, 695667509, 216120887, 830744453, 1062586470, 782667132, 730429067, 7438703, 109493629, 115560840, 126175059, 59130477, 391401548, 368680747, 412655140, 574643817, 694352108, 483147548, 151624448, 553264841, 619977066, 435036536, 397428122, 610393499, 1042402398, 416397769, 1016982069, 529412454, 165890481, 525082512, 619469479, 116723887, 1021546426, 174637058, 744116313, 205907168, 363286161, 610036131, 164683587, 428392635, 530221034, 795580537, 572804243, 376986299, 557972555, 116947680, 129107523, 272276933, 630556284, 885606344, 428798093, 833755676, 240292471, 148207041, 622010081, 1028142995, 622784708, 200025383, 124122796, 77941077, 265447044, 100884283, 948517894, 104466353, 369579046, 105903532, 452423738, 981326028, 696313277, 1008507998, 248556844, 165042586, 709743199, 1066573196, 427970536, 859979219, 73629428, 981241007, 482667454, 709456163, 780238537, 1049815011, 171521448, 1036050401, 120449658, 367312151, 1015931875, 455730796, 985365694, 336989160, 1032084486, 573479348, 606013853, 1006604878, 442581582, 856440374, 236744200, 489670580, 554198933, 844731132, 93517285, 313007325, 648924548, 992771533, 737484790, 119809786, 392335155, 973943930, 620882122, 317402688, 820164065, 59931164, 110156352, 337478304, 590810674, 992858391, 722688693, 498246393, 385477675, 118716097, 551989891, 309661836, 489879385, 794092794, 169767226, 373360320, 740654259, 931221549, 818752722, 350624688, 460077746, 313275264, 925553267, 357142319, 1009343241, 994246202, 176260550, 531813655, 600797294, 867007343, 165536198, 505606878, 195923736, 698728915, 249516611, 772744016, 409830055, 996978204, 756490121, 320174472, 985265996, 662890812, 286718302, 625696989, 389663716, 243180048, 970447164, 577471162, 764013931, 594088606, 183840356, 877651227, 520646057, 608409137, 250917548, 964906517, 952334985, 907454554, 611392151, 683050521, 767790059, 645600268, 870060645, 330776729, 467861533, 383269724, 855831343, 266854558, 974204828, 754831947, 444489019, 331979787, 368693640, 368030196, 228720628, 197700959, 63189679, 1058781142, 638721687, 361660496, 861437868, 351647169, 1043024167, 229681726, 513110876, 453773301, 482920084, 437996066, 522404467, 984057397, 615874270, 73283436, 816316096, 1058899627, 849059729, 31328851, 297452808, 403245630, 920782993, 929504676, 266248333, 275751604, 189483167, 799970504, 297932486, 394151142, 1000518807, 257034768, 257152234, 811916631, 1018962791, 160566813, 1018757506, 651951085, 1008906, 828334607, 821088855, 721791385, 336885534, 483657195, 603218806, 417077977, 855905183, 714390624, 626900019, 536567380, 703782690, 918129887, 1039862925, 440246908, 230194862, 147024484, 707460674, 313445441, 104346151, 1040563695, 329618097, 280187671, 999611858, 180511110, 886839671, 564474374, 511236390, 846367522, 230296423, 879875322, 609460305, 611980039, 686349561, 55635025, 346275096, 765540359, 612543616, 583182302, 528597149, 844665300, 818955455, 714203268, 401407839, 198446719, 764591366, 914286334, 1071829149, 866267098, 448400520, 913914436, 898217190, 297449206, 334359439, 750745446, 159898015, 735271669, 778537982, 72649288, 686555924, 890683664, 367703412, 62733102, 432595851, 840243665, 140717936, 492572592, 931046892, 921734730, 871109201, 800884888, 808788345, 847523049, 34728197, 490463156, 773449778, 225171863, 764348046, 722199888, 875450523, 259609143, 316735627, 287177110, 168158629, 162731255, 309543924, 989142115, 11962712, 536722116, 972460504, 653409161, 72960421, 429960202, 984386132, 50667169, 1003866693, 831081944, 42187767, 957636208, 247921456, 444264915, 453996116, 175356837, 766084349, 150304621, 933336111, 637188925, 715587629, 645817497, 255297663, 573608434, 572825762, 483569143, 178783233, 738701163, 1031054166, 583046956, 99921353, 127992708, 687497589, 868313472, 711919383, 704963074, 878926157, 903352238, 769203238, 48873832, 3999886, 162441664, 603904064, 510835179, 559399923, 417763922, 1010665037, 1050957122, 226274311, 583592997, 775024406, 773708282, 41306642, 121537287, 884388427, 646560370, 810652151, 650107845, 170609291, 795294557, 302703569, 414558544, 436480757, 333848621, 11980796, 415935822, 149855566, 726063479, 455463470, 273719147, 432201895, 1035353872, 914091245, 777239980, 95576021, 189015455, 17093820, 927548200, 399585413, 723664752, 974282092, 876668256, 849971236, 895403054, 981896700, 71953994, 940794593, 465592116, 140521480, 1020864835, 160558262, 47010379, 555553347, 656658449, 633203293, 959393285, 81882742, 772419740, 761301673, 977543766, 771962963, 42486035, 708197551, 367843342, 777935873, 138875748, 766300734, 858398714, 982717995, 394151230, 86568291, 705494867, 647581428, 249769550, 51204524, 226555273, 371244983, 563089671, 465900890, 540868628, 652148772, 984033027, 383180052, 562875001, 457734860, 973691404, 515623741, 53746000, 621135250, 235538580, 924966823, 436729190, 221788432, 25202017, 819663743, 664184396, 832839581, 528154823, 1030674364, 916118274, 1000695648, 490145860, 683390273, 60774967, 43955087, 344070021, 271546717, 552206518, 745793056, 136710279, 397270972, 820924776, 888483881, 214684256, 653424970, 974882217, 36416159, 240635591, 451050211, 153248559, 471064290, 802626008, 565437119, 510368720, 645943266, 141735696, 386755735, 936164317, 858788364, 962035389, 325040556, 865203462, 236902692, 376246542, 1061517354, 249249450, 414821427, 867197388, 686718657, 188254039, 781532081, 615302371, 79756138, 22796153, 443069334, 411571543, 126751340, 952869997, 922638163, 817915644, 659595915, 694403196, 127652145, 771045109, 185838308, 515165566, 374460051, 392491932, 684926070, 769077390, 615415969, 872371979, 999243689, 528107771, 603166002, 369938110, 1003782799, 799453829, 473158099, 658891369, 691640745, 768718672, 455143064, 1044543648, 197975682, 493991448, 407721850, 907153079, 682988052, 216450179, 23407666, 790759588, 586380694, 1033940967, 364129157, 691909046, 664533038, 626313111, 410161074, 576261361, 194978855, 1026704767, 396410504, 296622425, 466793038, 34126502, 30268036, 879276982, 281029084, 429800473, 386458451, 1057068669, 435257995, 739629245, 1008713677, 668045289, 880930673, 981025906, 335060757, 147910966, 765958180, 443473200, 818329272, 601252723, 1010424126, 1056649385, 854626945, 1235140, 712953953, 23710942, 994883616, 545613407, 65431954, 239223414, 441748002, 247988879, 839018542, 388878946, 965697004, 899120913, 763315424, 440079703, 1016412187, 499979885, 257465012, 100662339, 502544207, 826502872, 85758243, 902692960, 1023612657, 959226734, 541474632, 413819805, 215811520, 778760020, 683478318, 31133314, 398997757, 95155953, 643928352, 408822147, 634499048, 112402307, 457258904, 660078412, 605221698, 774945980, 49948562, 706221519, 619778567, 849319259, 486926890, 378176437, 183693394, 789978775, 218276469, 388697113, 656258970, 375100208, 279744454, 775698478, 392103427, 349852671, 530651727, 541028208, 340629472, 8413367, 179517548, 549270948, 728874490, 1014279994, 162584208, 676305325, 772909420, 99429463, 953498220, 579293458, 736717868, 69603457, 392762284, 804482432, 443180426, 404318894, 383094368, 239405181, 66487710, 535607781, 105477250, 931292719, 564771134, 155644855, 232497807, 703801643, 64317924, 604041778, 486608899, 508396120, 402928758, 187839412, 436894620, 874931262, 766224126, 476219904, 62656064, 953755509, 248491352, 683335842, 590836501, 127383545, 756405032, 701135033, 1000036654, 455329291, 406578130, 166833981, 454464136, 1052381675, 376742015, 444365437, 540677756, 121028062, 75510894, 225053553, 975797492, 321973294, 1036776798, 620783718, 1042368514, 1063230168, 485795845, 372901709, 1001982725, 436237508, 556369588, 947754939, 256417498, 930921363, 503180034, 68288953, 79194823, 22922477, 434591191, 645431406, 193633808, 626371634, 265175028, 1018951715, 636483575, 857445609, 27115585, 2133873, 836182651, 84677633, 730302219, 658325621, 1043861945, 629023823, 326685708, 948363036, 682358956, 441860929, 272415312, 1047493291, 179366292, 1046463451, 97853914, 764782025, 917027341, 619015555, 687436873, 410391, 774956938, 981065260, 18048594, 150045283, 372463021, 393044576, 420471967, 223638373, 984764468, 960689351, 215076594, 339616725, 1072396681, 195720234, 480358009, 231711664, 725990428, 1000474473, 31967796, 132359092, 506463250, 880278828, 496609479, 649316843, 495856816, 582202001, 563221222, 982526444, 72017365, 472565755, 501784686, 572160379, 67154798, 561884469, 402992958, 283137156, 282596267, 236088947, 554123637, 143839040, 846722001, 1005782824, 521038765, 932713948, 695523209, 543361313, 1007734567, 186091618, 22023707, 373389426, 733180249, 592146143, 28881286, 196912612, 211621200, 781686988, 463406088, 234298788, 254411506, 719197120, 544931850, 674433527, 616678035, 28656832, 642976676, 552688336, 781362112, 207746796, 335593708, 339236084, 789131834, 789776325, 354179190, 515783913, 157421911, 302032033, 512470290, 923875818, 164292535, 892783913, 452260838, 844882096, 691502284, 251031852, 985970539, 255612193, 942179088, 521216463, 116845496, 645831560, 279968590, 837065923, 713722197, 476932432, 389250775, 800163680, 611989294, 29946273, 648765566, 911298822, 144447804, 344082545, 433366591, 71368956, 580166309, 176664892, 1058637990, 351901937, 663584775, 446907894, 966977005, 35943852, 1003707222, 435787794, 638758375, 868629946, 22068398, 509369026, 308025111, 780123940, 599724568, 484925849, 599786719, 847196779, 874674814, 139361860, 601972472, 162630346, 719314863, 156390855, 930274867, 487583440, 317369129, 200923441, 411227970, 1019433625, 121171217, 568885880, 836553051, 175407018, 7899654, 893251181, 409437377, 383053459, 346223153, 508648278, 531279423, 934763609, 837165800, 526249414, 226259924, 598591581, 374976642, 948207249, 656967840, 927766073, 950049222, 804859528, 637199665, 992129085, 647312112, 165672105, 559218187, 546959990, 931192225, 942649975, 340141866, 65442273, 128094952, 38292438, 662955616, 376610717, 718758031, 300460207, 863083626, 986722258, 442043047, 631178072, 454548856, 892171778, 41811167, 312621952, 113764969, 577512518, 267989489, 1058653560, 114061217, 886405484, 687275555, 662955137, 979463148, 477077897, 675069578, 677246672, 126734492, 531453933, 282842464, 1012602081, 183375559, 694402818, 351090768, 341100060, 120078805, 78509799, 294989943, 13047115, 754710508, 189680555, 364446809, 277140230, 208918419, 829116433, 591499842, 1061102915, 308069416, 502008645, 84555686, 842882166, 792483192, 220072697, 1023666756, 456283511, 475314215, 951620764, 899871050, 226834044, 866979949, 501639915, 302652031, 43704988, 207445538, 794172312, 364853908, 620318316, 844097515, 959596010, 819981864, 1072584819, 944637927, 411446684, 958168479, 805172493, 815280704, 133788345, 853967590, 29468310, 319546531, 805264898, 244428863, 1054284889, 198867228, 1023205982, 323036064, 11325387, 946015827, 29946006, 213499537, 608619265, 1061842083, 457406238, 426310406, 176049737, 618733055, 481245899, 31738847, 202603395, 409238808, 515221511, 498621085, 500648852, 784477224, 1052367705, 583706650, 793838370, 865837968, 312568400, 834534508, 1040225524, 548921964, 107743911, 721367088, 208928773, 777764343, 729673818, 919312665, 601573086, 1050503442, 226197182, 1039526102, 221728118, 796054659, 985741144, 193101299, 72608159, 291921941, 616697695, 609090752, 883027348, 185080361, 887593765, 496959959, 12284649, 40465725, 684183893, 116409676, 862813683, 1057936469, 403889542, 505896713, 48249123, 302404638, 320072743, 410325754, 314206740, 882147421, 611815120, 236039095, 828601660, 350379969, 304857887, 472473971, 1032065915, 265700251, 565665924, 1042549767, 284810160, 249040457, 645452850, 639966322, 536256261, 469813673, 182660933, 264836429, 520912972, 212505260, 528347783, 359279388, 628101735, 901670983, 891471211, 963408487, 780259397, 619215246, 660306497, 20630453, 1026478652, 407161425, 576729063, 271555640, 914406091, 652774498, 141464733, 327327353, 158672641, 352717586, 208600111, 1030928318, 712829560, 267546605, 560019144, 976502210, 596894498, 61427311, 335438183, 420404313, 574121300, 1041658222, 417430225, 301443895, 834669065, 526530862, 686183515, 191209729, 268212366, 681165261, 82673336, 169369652, 684420814, 211653258, 856393197, 972820742, 466533132, 777468917, 1047708496, 777866517, 61965098, 814919044, 429554576, 502924321, 899502208, 701926271, 350170368, 601019011, 147041638, 229402653, 153038532, 459112089, 31062984, 868053742, 966033868, 343229572, 651077673, 901429941, 297282448, 280877329, 650055121, 396778686, 351563250, 547375073, 1020723047, 1056909752, 313514477, 1019271429, 868388158, 156696560, 578184033, 809395411, 988322541, 976034203, 417357224, 949784994, 825401371, 678380117, 637959619, 562519277, 671225501, 476937449, 224923292, 478677895, 125219694, 13039399, 193372101, 243081441, 1001983536, 374804286, 847779059, 584781700, 302920629, 243060154, 347591847, 819388777, 965140928, 34235028, 967331594, 709445389, 637526643, 562176711, 804119845, 858304222, 93765888, 811899896, 826114558, 275498483, 338171770, 186235742, 1008308795, 137805388, 402532972, 341208434, 566375043, 73613291, 479182940, 743241915, 475837629, 523005822, 925597222, 406291531, 1003104193, 274717376, 1032988425, 916799020, 321241321, 420353422, 660745826, 305104769, 729883651, 165727751, 247967367, 511600595, 15836641, 657507325, 930228993, 356053493, 16864016, 551189797, 972516843, 129330824, 215248034, 1017293786, 168664061, 84906569, 664155321, 579980925, 632144559, 332106942, 796028609, 775547092, 716383428, 946213603, 940825453, 36378396, 822478162, 74179810, 771374841, 325788417, 41296757, 253120937, 837200989, 820821430, 365144687, 434864167, 866351374, 1049030033, 237112124, 678276490, 95474591, 378761019, 459245273, 95661808, 277565918, 284596128, 77208410, 29405695, 382587955, 986822992, 783293179, 600448565, 698041619, 357245233, 373470303, 625526718, 993693983, 303909214, 780304424, 803552459, 230152056, 366376716, 447925726, 73874524, 766886281, 303533565, 166850108, 619920719, 326930574, 829937777, 511734649, 771861882, 333184488, 997394789, 237591959, 182929351, 544603730, 86492159, 672158137, 437245430, 1010873942, 673084751, 481539259, 505952091, 599922278, 1037714109, 902852510, 245984021, 324596555, 888347432, 600660640, 1017537430, 779676589, 34320443, 703684668, 99299016, 820734821, 32982417, 421127718, 498638922, 102244284, 78112573, 676900404, 531975959, 824770963, 619509307, 798117866, 585848254, 114465905, 98105954, 962416377, 200682115, 702124278, 712901219, 564783676, 971392052, 499239498, 1069799214, 14601899, 491096504, 781734106, 57450156, 988752473, 605313104, 1043710149, 836649176, 385647355, 414214559, 153767009, 1010032788, 183372657, 121061047, 302923876, 946475272, 34285524, 390055841, 999209143, 697138605, 759178117, 36269761, 346552526, 611036734, 226105311, 629263420, 179505302, 687133234, 792427249, 328684580, 1537640, 666668258, 483433588, 413280790, 91118848, 124441106, 569682554, 801672573, 434854478, 247736839, 557023410, 805862064, 850329371, 972681050, 398349288, 389819299, 448066937, 497304396, 84439733, 469126611, 631093174, 341544463, 306175064, 910296766, 687151050, 879654718, 270861839, 724188804, 149063316, 217660549, 1048427531, 525140816, 832197875, 372411940, 336375012, 15636202, 844900837, 245367000, 364912637, 898133371, 136869666, 1067307103, 104174706, 559383767, 792327427, 730077741, 133490617, 13672533, 16613660, 775428676, 770664219, 598010480, 396500826, 255983032, 705027447, 816952780, 383801866, 866687073, 694858740, 33065052, 295923619, 19342575, 339797169, 538003147, 5083037, 579972955, 768433323, 249556385, 960765800, 963589241, 525777870, 687972625, 987117734, 511794439, 290484487, 282111616, 144921270, 884282373, 1051394173, 3886953, 167492404, 1055910179, 860848129, 91650709, 1054832613, 936603421, 75324675, 421399373, 807236561, 74852363, 966128813, 130043210, 736561754, 126902513, 669062431, 492198836, 385227094, 545482982, 411571914, 218580464, 673224447, 813145239, 155392311, 524254810, 156542435, 943693273, 319776357, 876915534, 738738300, 621256115, 147700796, 710461197, 945310618, 720687546, 832149319, 1020862448, 966497930, 977831618, 322620175, 611601336, 241356433, 205593692, 128288394, 467053050, 175360943, 588581355, 1027441537, 1018006781, 343008116, 468516819, 658267690, 539886470, 572647547, 303432781, 570573186, 411651490, 928498648, 953140329, 93334536, 745167536, 951115696, 38654304, 472423795, 271719570, 412006025, 536556369, 380298168, 124346770, 257025693, 813398583, 1033924222, 906442972, 541726272, 896314932, 820662288, 629773296, 658314920, 789259169, 972908966, 1041161942, 711383549, 855739738, 152077212, 385806009, 265242089, 727947301, 115498333, 47780980, 374430273, 535465172, 901414291, 933836388, 608168916, 437004979, 437589627, 903100086, 163365238, 778597814, 701534887, 656493285, 543772590, 1057223913, 175123085, 824591851, 718424378, 846491829, 711051087, 919257780, 647260259, 34181037, 611755647, 813729827, 174734500, 921663293, 596488032, 1027606800, 953577357, 222596062, 144849919, 413021552, 2635362, 874462430, 114086941, 705136161, 140200247, 312173069, 791023024, 522386752, 167918745, 146048366, 802264918, 12265611, 726019892, 127505328, 665695754, 23851435, 917365690, 888140875, 487008779, 741729017, 785975959, 468776515, 794776321, 121790141, 269602769, 124011059, 38684706, 597916332, 681198094, 263949896, 300218189, 11823861, 696570794, 171112133, 310692271, 1017683704, 878281641, 319757500, 253303817, 1023070491, 205116914, 1046153140, 182974571, 295922595, 85983647, 348384399, 181030652, 182561070, 750045452, 979231737, 574268072, 609714663, 650476997, 938609438, 104173548, 724301829, 387554298, 974961191, 86914402, 236452747, 91478256, 867495778, 945229589, 172584377, 315651337, 452099447, 1038979711, 947839807, 613187135, 16178312, 318122331, 711678153, 130283731, 560746986, 159718133, 147759913, 714836889, 918523947, 974482514, 686086805, 959950584, 1003074194, 391816342, 742624823, 932406175, 227045417, 344216683, 270111592, 240648195, 332421817, 608721436, 417030649, 728630404, 452496649, 172726723, 117048964, 146828728, 247487960, 174082403, 784100722, 493915889, 65052246, 466637242, 221237280, 8039322, 174917182, 1029999806, 323117282, 252934760, 992622132, 96421094, 394507446, 588031527, 201116670, 19830691, 739559730, 536533346, 645532794, 698411279, 795269902, 565494453, 533098610, 1037153872, 596903719, 506061522, 168329921, 556111721, 660281172, 239815042, 494281311, 739002791, 183006012, 784800371, 607024390, 663344001, 241121696, 473176889, 499058344, 758534031, 655269508, 5004589, 330669239, 104546165, 317472682, 258552599, 441732843, 175987361, 148667490, 854725204, 442527496, 605848388, 99052778, 167504855, 40777338, 342260719, 154587233, 33440877, 773697500, 933486377, 597103169, 168333467, 1004507358, 642430924, 551770950, 835704061, 26022681, 719056113, 526403034, 960022934, 198720464, 177641233, 529296909, 811802991, 743578806, 837409582, 296327713, 412365641, 891456857, 749974568, 190836713, 978518461, 1037097173, 847110765, 151723209, 64734225, 130422711, 491636189, 641230331, 140116649, 928212504, 923957556, 602915474, 587072035, 482078811, 1000116922, 691894502, 262759496, 448609673, 315296211, 653248772, 433930746, 237494497, 351107809, 952192084, 500153326, 734918398, 129410496, 174065296, 334185698, 412775299, 698043248, 638093363, 378918678, 783531823, 600116932, 228107757, 771498220, 920077091, 1021026386, 207205164, 70483363, 3546820, 888171461, 1035928820, 254981426, 602515231, 1072453819, 923641831, 429844350, 345412680, 643541580, 305038656, 1026841860, 185133794, 67667891, 1033203589, 949571973, 692600711, 861140073, 906635182, 849361155, 44953951, 501099332, 625861192, 390110004, 387483986, 420093797, 673545366, 1033210719, 930509374, 986951298, 402963149, 5466803, 767465883, 884687020, 64831612, 318948269, 220778161, 544336835, 190534012, 46690413, 615086286, 343745684, 249879186, 622012370, 1043283413, 413032900, 643526469, 189257701, 387374934, 791437547, 640436170, 965941635, 645935810, 638227527, 457790722, 706057481, 946370575, 275257880, 506882849, 836028211, 494476091, 530816935, 683157851, 2610030, 643883351, 826963002, 1025373290, 581693600, 387615151, 388613200, 701516458, 836465666, 791232035, 208043250, 1023419715, 302349268, 195409001, 957872238, 796416462, 478716277, 323408781, 632144999, 998306276, 246326624, 1169307, 519244244, 254666782, 654338855, 558420081, 768917211, 93623095, 332658146, 684340417, 355146011, 1043810010, 538946105, 699325623, 873451860, 93320556, 683784503, 208254531, 422338506, 999507004, 317966098, 510315013, 538656087, 272013823, 709268531, 138674029, 1067164548, 343951762, 816790723, 278814142, 929548111, 922362938, 903757777, 435392145, 741984699, 793232449, 809367523, 916236813, 846121175, 188651077, 111246033, 357302185, 163399716, 543003035, 767470547, 832037505, 993782170, 827606051, 289523995, 629711739, 923476040, 18735723, 883309347, 775535856, 2381200, 544386978, 853533814, 425964860, 977336529, 38057228, 503809061, 224384753, 1034392650, 845779786, 457570652, 1044262889, 571441932, 559454445, 855923845, 545312691, 78753016, 121514018, 423519640, 128690296, 1056677410, 982629919, 278013891, 1054673450, 183194876, 832497953, 957476939, 214123289, 200865317, 204326334, 305789132, 795435092, 1038767181, 475613183, 425982060, 869862367, 634708165, 672067255, 653990058, 202625435, 51709230, 472588562, 1007570065, 269692019, 760736116, 33939066, 100836217, 737483364, 42267024, 162339227, 292394929, 220317435, 1025066755, 54253472, 719800628, 606275700, 331637776, 277826707, 273011614, 1020762715, 285526447, 561030639, 745434983, 614859800, 646033605, 974578489, 1060021631, 107073888, 227806784, 704570872, 237450748, 605384969, 320818598, 697909418, 42559010, 921639755, 209656795, 756064250, 950787030, 106042030, 56716641, 910664540, 1022388854, 759918794, 1013665384, 929296461, 431784372, 1036123599, 266136823, 543484365, 1025749188, 883099593, 810423926, 707951838, 121072018, 635562096, 157166198, 508757819, 145188529, 115084372, 70294287, 57857008, 447927301, 14738229, 357325469, 354723793, 95072549, 170149711, 81325246, 264257638, 123264788, 277250394, 785099202, 110711177, 634918561, 478605142, 924389454, 876810672, 180995098, 261578691, 657605779, 706448539, 178600683, 688578499, 654733269, 424218665, 1028721824, 962192451, 898417040, 237131903, 230410991, 507357429, 137767754, 206438851, 492613282, 554306609, 371934271, 826127198, 277417691, 990687766, 1019473239, 1025823405, 546035695, 78724719, 672941622, 725202277, 433257262, 508366931, 631725302, 441580845, 255616892, 863949524, 349214761, 876038626, 534758078, 972539699, 718123446, 335282880, 451893500, 571434914, 11332155, 131706788, 607993370, 835917417, 737058913, 378492340, 531813246, 552772599, 267031755, 808734368, 763947628, 127532188, 852984115, 924993343, 33293709, 302046292, 872717314, 384181645, 652236804, 986331447, 159570422, 988543031, 657210973, 38274306, 720709277, 747593319, 578584392, 160558172, 455052341, 887330945, 768185917, 795019996, 637098443, 107171261, 310768182, 967085013, 935913985, 966600034, 342550224, 275126643, 468099369, 125447370, 430597798, 864030542, 709924185, 482997196, 855063056, 324480284, 381123330, 584843523, 1008412112, 819994129, 760484239, 465912232, 1066184508, 497262000, 536214967, 525997796, 994683598, 782201236, 252793114, 793044737, 371809285, 254712402, 582536648, 662191703, 453603503, 614216259, 695963802, 269427974, 24143371, 700932593, 729065411, 320814623, 940827050, 436496938, 949685873, 704868872, 248413037, 1014270501, 117873363, 210306716, 343597363, 185492927, 44441347, 886230283, 609586104, 983340737, 841835157, 766422616, 1034371427, 568907977, 425318493, 930279528, 89869581, 1019855699, 616878651, 807790654, 812671077, 817613601, 305148280, 963727477, 965047645, 1010399505, 244221660, 203588633, 87407314, 155704710, 183449466, 814956109, 909503609, 631892417, 529110716, 546020478, 667206935, 434284211, 837447386, 698298113, 247604684, 842071417, 951027305, 973813827, 366120955, 284818172, 488831211, 931308337, 329169998, 197577474, 517545522, 564506392, 841860780, 517366834, 257160811, 158306566, 261416777, 378497288, 470857053, 372943603, 380265144, 513717316, 654957233, 1058078125, 348699964, 831636918, 463945784, 506454215, 669411782, 578680953, 464177597, 947849150, 701913558, 566701213, 934953677, 707976528, 722520799, 509381185, 136347055, 779350462, 408276624, 697574323, 256170509, 813734399, 475941606, 414258872, 414708777, 658558857, 674704974, 269729799, 268109569, 43748236, 178413956, 870407291, 928960829, 235912100, 967600434, 943106761, 252248599, 1057151129, 975773002, 16295804, 411916350, 116397835, 180221629, 386635913, 492898019, 6227985, 179424347, 527918080, 168065515, 461124875, 201308233, 690871247, 807200472, 1044793368, 815153697, 409834469, 721166634, 757676417, 690550471, 221246782, 296791746, 678298895, 992663897, 240456987, 377778512, 641607112, 755711555, 479186566, 489101788, 364347997, 293191076, 1035367694, 166225844, 582877132, 859523930, 360974086, 645950563, 754485600, 1066700480, 157509224, 427948775, 586205009, 688692516, 737276108, 913145041, 1066771382, 291391859, 1016516065, 379736870, 752384820, 263180625, 1033413354, 524582240, 94763861, 619949029, 103092073, 280983663, 706843003, 975956479, 492749566, 144865912, 290581652, 73919132, 329055657, 214842603, 505956006, 866284236, 658431862, 233552203, 720030108, 780173294, 600184090, 149732443, 180981617, 767801978, 73355179, 33220457, 783995391, 564029466, 121171944, 640970076, 799747107, 82550600, 517025054, 308725432, 60986820, 276546207, 358180612, 646204667, 977721486, 689117195, 211496659, 819002856, 1045007589, 860160253, 360561236, 700076758, 826073140, 903860980, 297254091, 21491710, 439713839, 899879389, 220516979, 409277664, 917604982, 595309114, 499808865, 57365564, 387735605, 901046256, 360516710, 775918308, 161316582, 894791768, 1031547084, 819792323, 681356214, 225298362, 180819882, 703393445, 711880586, 851198884, 710590855, 1010511092, 561727946, 472853187, 295547906, 374287969, 280360549, 623670360, 241519847, 191293426, 419415733, 732845212, 41622730, 1008228778, 35796278, 254648046, 918164137, 143001847, 476725641, 1072261856, 52631445, 1013498321, 916972192, 287992211, 814605604, 910183092, 172425134, 773428890, 890104920, 844858091, 440643964, 330596001, 454164533, 896286397, 616498929, 829296371, 403847084, 611471940, 445166903, 1029243032, 845409635, 510490222, 772055288, 264361137, 463164091, 491874831, 301991625, 345552691, 531230306, 1009224135, 329842074, 377679463, 23810620, 130054486, 524112893, 615304198, 428974494, 131090604, 603130991, 165963211, 209884673, 511378410, 736423220, 651692903, 178284896, 322275023, 183543299, 968957522, 1029829217, 801093214, 244494504, 414168051, 90217017, 210852157, 647742786, 1038998679, 943179868, 936940556, 782283808, 69543868, 734439786, 712163385, 255011133, 3313591, 678840734, 937324362, 698159542, 1070613680, 542043370, 586723144, 592669608, 7548240, 743089013, 280388415, 96978042, 84116343, 1068783619, 755287846, 818184143, 411996032, 816247577, 812999771, 467749922, 360978365, 566938983, 866559562, 297202172, 451718565, 657827239, 284731461, 137199429, 921995008, 61758378, 1030851740, 169396212, 968225692, 666327071, 350347786, 880507558, 297410040, 976736344, 636961967, 30277911, 990400321, 288207139, 386930475, 109310, 116623360, 525802793, 143360976, 990489591, 858493987, 921203826, 281457210, 105782459, 122503858, 848516940, 471266615, 637128906, 913281533, 252570890, 456212915, 644840729, 882770774, 872010895, 84464745, 139752311, 325822886, 100641921, 878543195, 870593082, 397819210, 313290253, 248830313, 379038334, 905868306, 707283561, 299935692, 903144661, 187549818, 65830142, 356183605, 358359017, 124051725, 856410213, 763812561, 520193735, 821789980, 743311857, 665292429, 175379792, 384641096, 554255302, 712335815, 62632004, 86819829, 138126782, 1005824211, 601661871, 127567082, 437018983, 425073969, 513029297, 200411921, 88944185, 271318927, 760270508, 985869145, 730509736, 1001964516, 499962719, 859095704, 113446596, 786732264, 106984792, 1034070616, 271150928, 999694292, 386946182, 588921301, 584356547, 192515087, 62085893, 711615512, 578548194, 423182228, 898584830, 1005094607, 1009802373, 150096694, 757210434, 518887415, 658341062, 276764500, 579619541, 164120460, 627389045, 407553809, 303982658, 813382638, 130184176, 929616297, 307002370, 388789750, 419846310, 505388448, 641441641, 931610985, 884550276, 707025786, 492291973, 524290317, 466679743, 160972883, 800228025, 729150777, 1041515631, 818753867, 666015506, 65850264, 208386753, 922863717, 204548582, 103327624, 796591097, 793516918, 139414351, 954756023, 684349005, 1073628117, 245973128, 345485492, 600598866, 392291053, 525341841, 288396733, 646839287, 898021818, 1057251628, 1019202385, 1024185691, 75559834, 795013465, 207986677, 19639794, 513600050, 988924830, 1033344630, 562479730, 651809049, 54337375, 534769159, 349711702, 826540474, 16607476, 970977969, 447906959, 633655968, 78532877, 1000359423, 275145484, 131413946, 655051323, 585968960, 680699890, 580874287, 82848525, 194210019, 615884124, 165366680, 890132491, 194921397, 733616302, 1057744862, 756668080, 323839655, 979951757, 101502840, 154650614, 657359055, 885358730, 892433759, 195679667, 903001302, 680027451, 481056811, 955945354, 540891723, 217709645, 567854845, 526799310, 1071324153, 773708408, 538203632, 795194533, 303414781, 557545663, 353694527, 717463822, 838058969, 671386671, 291710141, 196730104, 566536573, 1005662234, 888247561, 720645320, 938446842, 205917828, 249398505, 213288127, 88246098, 831729505, 317600772, 427463008, 151731344, 566651208, 190638145, 716617337, 794250367, 166929967, 1055461187, 815727811, 154752591, 150136083, 195143727, 773299408, 728834317, 248063265, 769121645, 666661099, 90298921, 569837177, 1020569420, 459395736, 686614735, 552523252, 661468167, 36039180, 32756565, 267346467, 1073565857, 238982136, 179113780, 863808577, 736562438, 994327183, 344354961, 791286501, 817885409, 727999761, 1012859235, 669683993, 745050079, 532185884, 143829297, 454844567, 528318491, 533336930, 1029891808, 328358062, 606941447, 1062388202, 976750685, 345565090, 864239222, 480728620, 22082881, 527541918, 454720305, 481982236, 963264619, 577047041, 1065436151, 42201932, 294783213, 460410075, 83122826, 179068434, 714581781, 901754007, 700381706, 664745621, 130552961, 793466270, 412547844, 522643171, 534130743, 718820761, 1066132062, 498268219, 721789071, 1012539721, 227090193, 239506903, 627008424, 1052060235, 950343743, 656439335, 997047557, 488428098, 665601861, 127468089, 679187528, 448469717, 343349427, 1039901118, 544238043, 327200619, 606630995, 357468777, 1052989648, 1031908660, 260385868, 526316480, 781165372, 942898705, 932833167, 799943104, 675134339, 1033700596, 364741820, 150613147, 113948438, 867584257, 262463005, 220753058, 233149985, 229659610, 607151660, 987025149, 849413035, 951523821, 132587622, 277607863, 584060854, 594547030, 358240660, 182885397, 51914118, 434434432, 482377465, 539290361, 199183597, 886341441, 403395029, 716658029, 178051930, 596389183, 594991846, 573113966, 930102523, 534682891, 504813290, 151104915, 312358505, 128420250, 542196714, 890366286, 749861048, 786170842, 1996163, 46195444, 629324170, 979957374, 68808431, 190412488, 243958526, 282834719, 889922087, 747985236, 32120930, 593625310, 844955525, 463808869, 294965837, 268919148, 2636529, 631716227, 123337753, 475566128, 962416932, 925717523, 347654095, 42762089, 37955597, 399826955, 707066363, 272669992, 683753225, 338323419, 271187062, 724403165, 907286306, 958218114, 900543285, 301851212, 924142396, 772276782, 329032049, 232062470, 268709532, 129220802, 434736960, 940791755, 422877030, 630460413, 948627791, 406437866, 922692577, 609371371, 505262817, 528248581, 963265118, 658355082, 137061295, 432780659, 670253190, 341297256, 488115966, 598406728, 690057060, 115832520, 361688964, 870754801, 655995407, 846599448, 385008542, 106192428, 348498360, 772092057, 339753668, 194339111, 926799822, 546396925, 550878575, 115535954, 62403896, 581256899, 255944854, 420878966, 885466841, 418403944, 120268020, 350503554, 622037845, 1052572957, 263356991, 42074017, 506939235, 964391654, 977231912, 359663953, 760364490, 35637915, 477198430, 1047551849, 682760396, 795000968, 843245543, 143410317, 807746853, 98604649, 533745772, 527704891, 879521136, 872463153, 146663481, 111214554, 424495880, 8147058, 414826381, 780318316, 624290964, 636551108, 214609933, 757085050, 383893825, 723093902, 599004153, 638907752, 949122412, 646641015, 349682724, 860064151, 923447287, 549870205, 229196473, 881405390, 613076408, 376972540, 884225579, 682668611, 1072353423, 64038348, 511637266, 595405195, 309087141, 736905143, 345780793, 1030707103, 142760283, 903092581, 7908740, 23092825, 356078483, 906932561, 397645086, 1011229657, 423156825, 286129883, 740793571, 238945075, 752338057, 990829509, 169835852, 230809999, 373759086, 85673862, 117518230, 138137888, 985837047, 1027925231, 79498131, 93036178, 609848691, 16978361, 345335574, 20397765, 457344305, 475447179, 4604083, 580268597, 809067443, 1014434852, 403763762, 675387965, 302405533, 499785806, 399749719, 332657734, 13160108, 78530896, 891868771, 919195334, 717360409, 221888113, 905280531, 435756738, 608182375, 306228053, 210211120, 524430464, 75996336, 790260742, 830315045, 48513789, 702294241, 518624807, 162824155, 1013340052, 61444177, 501814744, 737419260, 1030480322, 1048815969, 602424001, 528457487, 841838769, 53740976, 980230615, 13056201, 798928060, 46553433, 95544650, 1050359890, 797115623, 933798557, 253111615, 851722939, 1010319726, 966702876, 472941412, 401568844, 897492442, 866669353, 238057692, 979392157, 433335686, 860096136, 665435351, 45006927, 99695799, 429607084, 631686155, 716061699, 211134490, 25217839, 481944495, 813514380, 1009914249, 302999129, 1008094385, 118374228, 29588052, 707946241, 186590849, 825100745, 558951535, 826948751, 806104146, 488163948, 88496264, 1012690379, 827532017, 222818614, 189211777, 624224021, 943902230, 848261403, 19009322, 904442374, 967079315, 31817756, 921240328, 492490294, 472210742, 497368553, 740049812, 92838901, 880556719, 340907739, 1072494950, 534226516, 1057248469, 856051726, 552588947, 1037541534, 930826763, 298703761, 1060371845, 274058403, 708496893, 991939922, 686936681, 535062745, 879362507, 459804233, 456738861, 558895605, 655913475, 891230329, 450634403, 935785448, 790806285, 1067764338, 647950318, 558605496, 53424655, 979827203, 205598152, 240251532, 425515731, 757831493, 407609321, 53518566, 921196551, 1059620032, 552424997, 534640013, 957831928, 106121208, 689422056, 586312402, 558242340, 894734661, 845863648, 112959584, 833266564, 587430091, 278935495, 419212506, 925530329, 108283035, 405240515, 377532315, 55340311, 130799517, 392188644, 62387087, 731213279, 81410109, 821010005, 934336519, 232937256, 622651415, 304793587, 199359139, 924379459, 831107238, 196664321, 222118966, 399564935, 672093932, 428646719, 645339776, 727350209, 801061379, 812124060, 774073290, 162769241, 664595817, 876338784, 1006081550, 786888737, 752999290, 686585875, 776186746, 561634179, 107860174, 461608670, 160890301, 458387005, 649535518, 745524923, 885786166, 848357540, 97195697, 335482399, 664382596, 18185919, 619886075, 893744859, 363638727, 41773729, 825750716, 681537041, 897172053, 28270344, 514377321, 393651096, 180163990, 347496723, 1009414121, 906327419, 539023449, 975359759, 1072461977, 401831713, 956739566, 159412378, 570909257, 953865760, 233174328, 256461165, 751220143, 204865076, 665074145, 365435309, 62582983, 244294912, 543176972, 779836501, 690781993, 16886720, 314154844, 1040035659, 521939578, 450061982, 829859694, 891478460, 824674649, 1032595903, 287100365, 1069241089, 176522595, 51829251, 453269844, 971217551, 712244822, 651823724, 812032264, 862018641, 936812345, 829219921, 483698670, 721002407, 306419420, 1059374974, 11595025, 511817534, 992457377, 950926586, 652807767, 142434501, 311645272, 175733707, 144409235, 810106760, 784521710, 370307838, 469247758, 378812268, 620803029, 396934898, 298884061, 129363002, 689800058, 588853991, 667341546, 1013792966, 501747059, 556897580, 909737974, 163574633, 373854037, 40447312, 198369812, 426704810, 866294179, 677434613, 495065549, 990915083, 674414294, 536302706, 157653029, 689770802, 610130383, 888950721, 310443817, 320501103, 167463148, 440684174, 592684001, 67929257, 41666994, 184198199, 5500646, 504897568, 576613527, 515019936, 53864954, 83525272, 866669554, 16361878, 582718318, 440922622, 901235537, 992886471, 738379237, 290831365, 557302473, 661800107, 158526091, 6979642, 375273778, 937404530, 895897854, 79677743, 150799418, 286704947, 147685920, 604586395, 410240680, 653122600, 188547410, 214235188, 758921802, 250243089, 87051747, 331094406, 246053439, 517976651, 471765178, 518488353, 825954043, 664343630, 2860567, 825394615, 490554924, 715052245, 687962838, 180031395, 434404122, 587470841, 715101593, 197481800, 139132933, 1044193193, 509610414, 3876738, 332156577, 422466192, 560253517, 732859167, 619864345, 332741547, 448893532, 712423227, 72492611, 24993829, 530474229, 924692594, 31911672, 114338655, 613853144, 344768464, 268385322, 767877644, 294985480, 59329604, 228725386, 543157447, 496028043, 1009537382, 83952177, 870935751, 612120526, 428616137, 335272143, 994853580, 414244076, 1006353201, 145936169, 79892536, 1018929467, 983552471, 827490827, 169403857, 8818888, 295276842, 986887683, 840712506, 458934443, 351004011, 86831405, 59451037, 105502014, 134524970, 865090023, 15473131, 817128722, 68027467, 154700131, 539210256, 714935834, 550233371, 114763804, 706331631, 58325648, 870297661, 590381650, 97936386, 296601653, 505381320, 625772601, 892215201, 83213808, 614746051, 234052329, 576066767, 494557220, 423435004, 608661196, 981812199, 921821441, 375976846, 1044209016, 656639752, 116468801, 1071047480, 181682411, 395687985, 388987015, 591989775, 651292450, 272321940, 39716444, 286889026, 758895107, 885556032, 711037654, 528758644, 263512899, 288026782, 815664180, 822336265, 100729114, 126410364, 288641045, 148439361, 916045762, 120251045, 33655981, 493579839, 834775171, 208137849, 844564606, 41193025, 398869231, 64381550, 740968626, 772823457, 707263050, 727317711, 250438489, 324903893, 625923093, 78277429, 151623209, 901521515, 759184682, 681595073, 178299445, 181963941, 433581378, 734599010, 1000508596, 651751379, 256676897, 383407048, 699425990, 852985621, 848535960, 422305948, 417310764, 215448235, 207837665, 562628048, 376216288, 918358153, 224650312, 336413609, 699842143, 725765647, 935712002, 429094938, 683308935, 570816842, 874066004, 860143098, 417961000, 533344728, 498517668, 615036258, 76394003, 261526617, 520056280, 803221836, 180955101, 380248742, 857685518, 998575079, 650068791, 422892892, 758541311, 202875679, 779882293, 202770684, 9478768, 32809104, 450455799, 219233846, 541565562, 957527206, 33696035, 434750789, 1022412218, 566883659, 657276131, 751269895, 74217654, 398825161, 231380877, 232586904, 136029033, 877207842, 2313843, 9043419, 614332311, 532211329, 867965553, 536818400, 579268186, 592713481, 329083386, 800272748, 94035072, 830547732, 597222071, 64714711, 541022615, 92457404, 321022373, 24618442, 845622444, 374162718, 462726091, 462905195, 826329290, 996175741, 474656757, 585393623, 287252606, 479038235, 580636050, 433304398, 237047002, 95310117, 822045202, 56459236, 658508613, 870299969, 385729189, 436426661, 146182506, 1015016455, 756968509, 500620868, 572361510, 156952343, 885954712, 178333234, 99050380, 753038518, 605380122, 542719535, 971122464, 910887417, 606233915, 574125932, 258045542, 582539253, 640018827, 25150269, 324685150, 878680754, 967429090, 223633359, 70647528, 473202998, 135729, 165424750, 52274754, 228988735, 142076720, 1016454665, 775916486, 813852184, 760271941, 252791498, 973843507, 849829028, 473916863, 398631904, 39732935, 319652885, 610541926, 922095572, 744858866, 850354409, 378695462, 340657450, 995202096, 832346941, 752868886, 1010841965, 618607962, 795426231, 464231868, 311317744, 833595151, 266389143, 943078190, 686578993, 1034033620, 1042504075, 479396195, 421688947, 550751674, 210365397, 418279920, 1057084050, 622192267, 361851251, 825735728, 54965257, 1064401504, 987916221, 701770102, 354160020, 198204741, 561996155, 861784132, 293660709, 1009554760, 752729209, 512729254, 310097764, 811016628, 543267935, 378557070, 274364426, 837703518, 418922285, 831852476, 27019082, 624285421, 507078254, 747373410, 883118189, 577618156, 906070036, 431736026, 210004788, 775295832, 321499073, 552407773, 90322696, 259765273, 782845653, 630500548, 817445041, 55813541, 742337193, 196626295, 484587134, 1059454927, 929149339, 273868627, 161080469, 330215643, 907564333, 334575083, 272198285, 540173748, 994378561, 279128749, 186666345, 772308742, 1018912721, 977803723, 779158458, 143226602, 276245496, 509764834, 361042748, 807551168, 210311116, 86622714, 978447549, 510215220, 75834389, 969675660, 402218036, 250806682, 280635073, 290050206, 1051985256, 448316370, 260618061, 539978924, 1036261721, 634612263, 445071731, 507579226, 728917721, 12653536, 572016724, 132775594, 236490131, 920926968, 384109842, 873090170, 308182429, 467556728, 547134527, 740700672, 812227852, 784553922, 470004963, 718022808, 1062076254, 1061035098, 1048622791, 785844359, 1000372293, 613706402, 679917730, 118039606, 646232160, 520756806, 381924597, 116283966, 912074926, 426513640, 41655989, 228609745, 2847758, 389664119, 9507157, 180950835, 223852925, 247874247, 242879968, 793399031, 283195639, 575112195, 894967598, 577187123, 115258974, 214387728, 954244906, 887574699, 325803223, 16319647, 531127976, 297991915, 551612876, 872658482, 368401739, 264870729, 262517056, 1041177569, 432523576, 563146579, 538040758, 288643892, 871585889, 873514321, 415269781, 463906662, 743252800, 864789328, 992367923, 493786203, 271540386, 832235319, 164796177, 1004510777, 559789782, 560435896, 56874583, 826398172, 707496136, 544474342, 25807928, 500861740, 523533724, 379297621, 420627524, 932582351, 1314125, 1065269351, 98773626, 299754284, 341695026, 427475248, 41597306, 306601666, 900470117, 22801036, 758269154, 268668114, 1070800038, 223660866, 1035965720, 997162510, 975345660, 1035605186, 845512800, 1001648838, 470035098, 866374885, 1013187216, 53005398, 360521328, 526883847, 175011678, 435692992, 180500008, 791702707, 217349238, 114796147, 613714227, 378216801, 138714464, 57841709, 131335382, 935073265, 6612018, 1064627323, 142958815, 123636354, 331726925, 440182772, 142261092, 274732570, 1017125307, 337072713, 555039442, 75546422, 266852114, 720766092, 647393314, 204273432, 365846463, 626897148, 288216291, 404127147, 281895505, 571359864, 1058073801, 607413940, 2763260, 228875178, 613292359, 803248249, 481850231, 794189167, 111410727, 489243028, 197032864, 376324030, 861033676, 964752212, 61436062, 562290383, 1070740499, 518710904, 433703776, 411981703, 816258735, 782330880, 521338812, 480897636, 958615502, 31535107, 877078885, 22468319, 885341977, 775270348, 713241253, 370344276, 595827015, 908459536, 194718189, 923223562, 187386259, 313618593, 956200247, 408393049, 146718615, 181802489, 586324969, 960389728, 787532223, 751794313, 485677910, 241856947, 933184816, 913010298, 575580691, 819136326, 143127968, 191866572, 872915480, 794974941, 6918488, 618231260, 1030363375, 494652631, 188484738, 902182113, 998525043, 361813652, 1005697654, 816733956, 27895603, 677183704, 418919191, 586417860, 340891566, 341875407, 406497819, 623214201, 710063677, 8949828, 71129053, 1047825267, 354570568, 594749553, 118917229, 422761121, 511046254, 437617837, 153594147, 673873180, 601879064, 438040335, 729940053, 705548930, 443147508, 553686612, 71756117, 892829142, 589754028, 90088560, 300798987, 652336435, 542098416, 215468273, 22353695, 916544624, 128538661, 227951885, 818279807, 1032879068, 338921816, 956121748, 822158048, 657719492, 309992115, 902363447, 184609918, 582173284, 816697102, 969781628, 5192688, 123614576, 45916953, 3631456, 199512375, 613034975, 868779758, 714138516, 140899805, 1047098353, 925305554, 781856048, 761722119, 338793416, 82066713, 52109727, 1033519242, 151224736, 493844425, 385187882, 172750752, 590765027, 376222006, 683385352, 597490591, 854728677, 932699817, 53251848, 17480822, 791463256, 397122657, 55763261, 559420417, 290557581, 859023171, 380072066, 244062776, 995818944, 717510608, 344439157, 160118649, 335119899, 957557098, 278078914, 818890217, 210112132, 860066145, 21908088, 1022449738, 870796794, 388426805, 348624864, 415754568, 472951782, 942674023, 650062247, 795014187, 348596402, 663821311, 716199824, 810705926, 318859119, 915096277, 587514375, 504148904, 525073134, 319353098, 537939571, 1052761948, 780353749, 129857080, 44876119, 329944765, 541376857, 949234607, 902399829, 48423479, 824735212, 444734547, 185961465, 877607949, 838796390, 607162314, 354844421, 442133754, 389933464, 526514533, 363209286, 642470906, 904780393, 168222751, 925274832, 260990152, 545639925, 191214288, 1022946738, 526112957, 1024351748, 606626657, 376285389, 770168843, 1051238803, 77369953, 61440334, 118274380, 927047655, 725985030, 572230287, 41606049, 952558292, 809401103, 688732788, 350458861, 681993854, 449985972, 1059719944, 772819427, 978728326, 870962549, 53769037, 75984209, 127048940, 835082324, 861583359, 953644524, 594249192, 680535255, 284389258, 643701983, 806798349, 51098525, 740905880, 979592913, 542273257, 88416453, 682944660, 669224660, 788928625, 146244679, 605050363, 311401419, 634174052, 857402835, 13057854, 314343701, 909538503, 406997481, 1036118585, 819328661, 200037894, 130496817, 186930720, 483891921, 462442191, 390884990, 806597920, 984836298, 709974476, 10676360, 662521076, 1014003243, 127367935, 923994908, 960365945, 441804496, 1031414522, 999070147, 438899785, 948021535, 547179533, 113868446, 248525097, 713071072, 757636522, 15700230, 1036945799, 119365334, 165671991, 49299471, 66109682, 23560331, 799264365, 594764137, 118748282, 454924060, 516301655, 873453753, 385105005, 865649286, 177697276, 920292861, 258414188, 726263496, 560870343, 473319231, 263939152, 76014155, 190869136, 264146785, 454190459, 375663914, 347963954, 344865868, 773501933, 220651420, 297403271, 673717807, 1013176458, 724215936, 372801263, 358087092, 776742712, 1058700430, 81501321, 583431539, 152083852, 843721595, 750200055, 1054447444, 733255434, 1040175849, 498097034, 1014746988, 542217156, 117061495, 420063861, 856899844, 439805485, 194257529, 129949038, 212473733, 338247319, 588153588, 926833221, 554098425, 397956499, 235734926, 657192502, 645095322, 816613135, 67173931, 397271627, 765197628, 587108006, 387693113, 810747016, 525695584, 369804045, 392119088, 915837043, 639300441, 1020853558, 716146427, 102685563, 891150516, 474919050, 57131155, 363499229, 587061880, 306242730, 969636043, 997763326, 851716044, 264242086, 429099242, 710577301, 649720974, 528602189, 316972505, 129502632, 551876225, 123299657, 369220595, 1010823538, 491568655, 736062609, 195747042, 736203367, 71930010, 585100187, 820478170, 993192725, 250401652, 567047521, 171027556, 552493629, 330992707, 1045086842, 991414793, 150030261, 619309560, 532630344, 182648342, 856746218, 456488458, 680994045, 819073033, 783756803, 559641531, 1029129589, 355064490, 370810057, 50181768, 77283620, 316579935, 895123351, 816640434, 407491076, 899669277, 471977324, 775731857, 1039182264, 705203174, 228944660, 433863820, 488257365, 473748327, 707211554, 629284098, 133205873, 659365709, 441718247, 477323098, 601518139, 494616480, 369285324, 456325410, 849991109, 777378922, 451423325, 449129417, 797745935, 415805615, 492604378, 752228477, 477831967, 469090389, 911804757, 115220805, 597941277, 677569970, 277013087, 897580004, 13335669, 163642122, 151412788, 587755593, 896256626, 12581113, 135031832, 570299703, 366856894, 813468039, 270035674, 578232420, 308340048, 400763668, 525106275, 440026705, 976771497, 110727482, 287039687, 32011625, 169915556, 615258245, 108816429, 500987801, 189428558, 148505428, 548518290, 404571043, 725614945, 471855247, 753195106, 797985317, 820868760, 60279239, 578351357, 442537487, 10873333, 379342992, 1032678423, 512830279, 509938780, 66308590, 1032699490, 358390841, 941997202, 991022284, 578739973, 51063178, 158490623, 485873406, 13677282, 84053411, 491749343, 872877084, 141671117, 446899093, 574972444, 401193089, 202237284, 85572127, 894190290, 528318386, 777659257, 162933646, 902666590, 174122813, 724238672, 895622908, 833462282, 831254668, 910467446, 1062351332, 950549183, 958276886, 284222742, 766276267, 813665390, 651122829, 498784900, 445485667, 182010872, 835025583, 804268990, 494577246, 951065975, 316189238, 352753553, 231642811, 973115812, 1018230692, 685839852, 28700654, 30664279, 61401086, 1012374729, 856777585, 87363236, 560802121, 969350537, 56801371, 749261128, 280484048, 489912067, 206883324, 814952091, 328496321, 628325673, 974575820, 948121956, 409662600, 13097171, 59009811, 1043707919, 269081810, 453146346, 744467452, 522509775, 907006043, 704125869, 451150293, 338231689, 111833111, 60910332, 69635868, 85434819, 406655251, 924620898, 416294742, 1018024684, 889345850, 206824078, 234112686, 380647510, 306334136, 49905622, 1012251358, 693747269, 823847535, 291857881, 119545819, 817720970, 617390643, 642623688, 354905795, 505420588, 612947673, 79996285, 129631581, 463442055, 457850285, 344796535, 67734223, 605489534, 484477981, 823096384, 882495678, 47948057, 922927477, 625610435, 920918546, 589295760, 869702302, 442765170, 132195639, 407631919, 630057057, 395506894, 520760994, 931344732, 758724949, 795422910, 91096274, 465070638, 77350458, 654278062, 744000098, 959160259, 999832533, 886686873, 228038211, 206893882, 896468651, 1022371131, 244850545, 725627853, 478089901, 755353093, 759552967, 180416592, 120073710, 450584506, 791175834, 727637414, 213670677, 217291077, 141726293, 563223618, 945610751, 604035873, 1021124783, 933762695, 446179894, 677002169, 101752876, 138050808, 399804550, 344773589, 480459522, 100694697, 369610559, 873187240, 1052959623, 1008651813, 931391053, 134784677, 845757169, 898756852, 941271772, 740856315, 991503832, 90731910, 289773054, 125915841, 856508218, 718844298, 930706587, 131195709, 603220201, 1069449961, 373775132, 520560807, 362307398, 285403518, 276276105, 922339580, 936695720, 308534382, 354187492, 991675718, 759577426, 414194621, 592307618, 889948507, 532623304, 902721969, 211953746, 810459766, 617833109, 392777331, 969921968, 1038837501, 402322449, 838073834, 980133960, 1020457370, 165938437, 115696130, 916865595, 775634751, 526956591, 666478304, 961372487, 290418675, 905402435, 772682956, 674049018, 952225795, 475340773, 263341646, 288033955, 541975173, 824663375, 923139797, 139013945, 721457465, 954916991, 151602948, 58787401, 661439233, 831935719, 215661465, 468685506, 154391824, 568117258, 530149094, 56785240, 907689356, 332689907, 1025248457, 553672653, 904333679, 190776847, 471984118, 634395868, 683967051, 1052077858, 525424379, 356439551, 1015952313, 349987009, 1072327892, 868816402, 755314555, 853410875, 828501353, 1050801284, 859460042, 340842439, 748790706, 152222132, 238060600, 757325831, 17591412, 515742911, 61203335, 526301609, 89397200, 211070595, 841689364, 9191289, 896750871, 850265574, 470960520, 178963219, 107642000, 1000636834, 1025436959, 293467997, 570317770, 406593844, 980295021, 454953263, 179427432, 288241445, 388200622, 847564726, 670907358, 395861917, 816511657, 29935092, 813153980, 332816881, 941896987, 256656440, 1028816582, 43801639, 652619565, 64755337, 651385780, 240760184, 636658868, 36055100, 329027494, 954250750, 912509562, 624999703, 475411862, 699677673, 429356676, 101905024, 953453571, 194239068, 946347607, 132533534, 183992937, 359718317, 799627908, 742767190, 206432502, 364282651, 545950342, 567868136, 192346730, 96511999, 96444589, 22788230, 33357257, 606052462, 961714000, 198269358, 95918443, 68233707, 340467386, 832466067, 395794568, 587664922, 1071718891, 145269070, 150910723, 225097269, 346141555, 910055681, 390193083, 932072734, 884881284, 794465669, 144780429, 917137930, 759615616, 382713951, 948393660, 70194974, 817893210, 8332195, 30097250, 787658886, 388671524, 329346967, 591823585, 227529301, 857779638, 954638806, 3408467, 371438413, 167316504, 617745318, 783869880, 351252595, 857471496, 491140002, 1034388107, 413605708, 417260705, 215286745, 444973604, 67365678, 612893158, 53076088, 726358029, 354960454, 812484437, 63884701, 614408993, 747896537, 902854426, 623627406, 39568839, 451591173, 476453590, 906739738, 1058701092, 741962031, 643762721, 172148421, 716157736, 600561389, 488637177, 140316190, 150462684, 662730657, 248185574, 882867365, 436359060, 416442378, 325734000, 578984064, 937832245, 751929832, 613971396, 65199105, 815912838, 981150688, 686477722, 495213882, 929116745, 476777943, 763602187, 520111243, 76762845, 240749203, 546837592, 567845529, 24733509, 782079271, 173775853, 660515202, 584482609, 10476007, 868216476, 454410918, 630654372, 107923591, 536943871, 321039784, 102245868, 509497796, 315770919, 849928187, 610125440, 400362297, 28250056, 510007377, 839005579, 453301271, 831416350, 763414220, 403502209, 54231933, 53230694, 257880423, 301462433, 420025656, 918178144, 197873403, 155866280, 388379926, 706961325, 54316078, 11643912, 591131900, 692435982, 867863129, 843216723, 118794307, 430532487, 295165465, 798453935, 655868806, 502637168, 749500597, 739356219, 682455615, 736867783, 904064551, 523001484, 885173032, 1052267478, 167380338, 438332244, 982719815, 937637375, 828445563, 686748158, 401436821, 683081349, 969489804, 718436481, 130641716, 541889441, 338397087, 850659769, 390269059, 882969379, 254446562, 973520986, 269235210, 356528010, 375423007, 282453358, 640652539, 1019350360, 360666814, 292326505, 589374726, 215488057, 643776382, 938047087, 809525911, 939945779, 892905196, 62340568, 1013012701, 472042784, 11604779, 506301967, 16388954, 910218882, 641140314, 497475357, 352062141, 337083153, 310214831, 302176151, 502896379, 846493709, 165802571, 414575463, 315571449, 711338407, 768764294, 840565562, 960842220, 908187758, 319604654, 303714985, 716722865, 720922741, 776495596, 802460929, 309293563, 803606893, 403053808, 720720248, 846015701, 452284029, 835527138, 420737989, 275125105, 501137961, 1002907473, 451870509, 219742622, 443807714, 101605027, 1050583440, 746268241, 652369887, 436256729, 771542382, 117455978, 43888925, 990153153, 188947476, 865067453, 422238936, 840749157, 1022642121, 418627112, 96437366, 864729628, 483605023, 67398886, 29652858, 406680855, 707281040, 676625072, 943021028, 993643738, 462764476, 30627614, 689885418, 841809328, 135118748, 348978672, 734701050, 303810730, 591009930, 725235224, 597875041, 818850500, 540515805, 916545435, 227031998, 320302397, 104507814, 642247457, 30846486, 715997872, 1049580820, 453235631, 415725573, 608236409, 589624252, 262139660, 38105398, 467467385, 508225502, 91553645, 236721260, 137460994, 830736817, 901506318, 739127306, 86553333, 65114752, 86626733, 7643008, 607784879, 425790671, 1018477579, 60700195, 300954335, 1031838209, 150938595, 389871681, 873496338, 177473489, 226247467, 620593373, 915138190, 924634564, 694258344, 325507606, 318360748, 432394199, 655549337, 286716760, 266881659, 998089514, 954304955, 1012304697, 272547653, 726965370, 349810825, 517859324, 509180226, 994571758, 652906999, 415302742, 367658955, 361486980, 396413151, 251603830, 296294111, 601941380, 958948621, 360446833, 452639791, 656186424, 119230722, 386675274, 1060875541, 2698941, 865577916, 477181000, 742188434, 484234718, 959786754, 33091086, 841679334, 84931309, 1002656365, 803423674, 504748668, 13647358, 256847720, 498018194, 408351265, 842116101, 459059186, 362797484, 398881144, 220556440, 538073507, 587162273, 174295644, 972455493, 982488207, 792089160, 627714289, 133222882, 798757817, 30790366, 742779154, 522083130, 23488990, 922183691, 122480921, 646920442, 467172879, 551397701, 986538915, 650262501, 96233982, 582324464, 952353747, 37407858, 861831458, 712167124, 630408396, 251440646, 982407260, 356219153, 500394080, 571346218, 682322833, 705460051, 800918885, 736860091, 471347562, 456778929, 45251205, 291677176, 759940879, 550596960, 167255823, 188731293, 755792724, 1057852995, 262818510, 35896363, 32465204, 224174570, 342112272, 362616889, 829578027, 213906508, 755727216, 642396821, 411519850, 461837843, 64418109, 99836171, 798930105, 369167375, 480521392, 360774537, 859122986, 439412424, 406703737, 655153423, 164930937, 1025460162, 732729271, 1034520322, 350796141, 418687082, 15474397, 45333437, 165419547, 465639275, 493051771, 1026201058, 664119812, 186781234, 673722414, 738731572, 12640525, 288734885, 202293449, 122276039, 76556572, 705699804, 831664162, 73760561, 448664436, 242766411, 936730943, 5915800, 676024325, 35839235, 437055318, 262870897, 1022251257, 78279384, 571379529, 178253026, 423103355, 414666377, 745857563, 1003381528, 587191100, 907067641, 895979045, 791830809, 118679860, 561582381, 747269435, 183971994, 454468949, 215214752, 445274592, 171187793, 976606842, 10673932, 112933860, 72990349, 962882791, 747546068, 954040588, 879088419, 1011852220, 909191853, 386392434, 258256492, 640517545, 706870884, 213107328, 758413901, 292509243, 676190917, 569217964, 547050059, 277457258, 68195377, 887301237, 590037909, 958673126, 122686475, 982744096, 577243028, 180026652, 674221274, 84851974, 789202956, 99416714, 306782161, 500626673, 336361316, 569598374, 287352428, 59566882, 1006594844, 463436059, 880178995, 928162534, 119738340, 506688821, 32690852, 283439698, 563718146, 198656479, 756725298, 1001269751, 52805478, 655946005, 92732841, 800450823, 648640175, 32138504, 526787565, 219238453, 883197813, 670802512, 125652357, 131901266, 615415629, 102721282, 806098050, 525447135, 776101496, 611714453, 313292932, 548544420, 634327714, 39326602, 444342288, 113269214, 838667064, 281989511, 83018360, 880561399, 733672150, 25993391, 210268293, 717785182, 986966211, 31072808, 646209402, 859731742, 166355921, 435943835, 869783475, 772107576, 412786099, 566994595, 430860579, 840892871, 85122111, 723208170, 787656113, 522639888, 919340515, 764651773, 36772341, 577577303, 771362216, 172733187, 32920412, 1044082061, 283891417, 24465350, 440839222, 692317536, 131836699, 683278119, 143936105, 92196316, 727005492, 641288719, 59150971, 944865030, 451973742, 899417509, 523771666, 339117607, 856807870, 292371503, 1040997633, 517445643, 1027693690, 869479094, 261615927, 928674344, 896888160, 41744499, 436328021, 975139640, 1062404453, 749622063, 624580859, 673935489, 311930761, 102149958, 547722969, 556583039, 748257163, 586034192, 391856306, 612816428, 337169100, 61703144, 347440537, 132508357, 762980676, 605054533, 970467683, 538625975, 953390332, 385665359, 96961306, 306561402, 807986422, 764486056, 854584046, 652265032, 179219119, 517198351, 892276122, 359830019, 241427543, 524379374, 935225025, 917754138, 905390740, 1011587423, 876548327, 545573203, 889263675, 998476332, 917001730, 791275904, 361333521, 776336131, 587764698, 447587036, 460838192, 215925623, 883451227, 993995511, 130961553, 878437199, 261782867, 832040987, 983521443, 235656114, 681025723, 9674888, 968189290, 505081185, 763644356, 110248325, 1022303229, 649606777, 776211159, 662745440, 7400382, 416006389, 793674429, 495361724, 1069889611, 820377799, 943383818, 363735529, 939416547, 440465914, 369589524, 779668041, 644468299, 494171784, 913188346, 923200016, 1032147292, 185954574, 1060320254, 108370720, 856583888, 305886758, 634359378, 423704192, 587134625, 312646396, 779344389, 689135574, 802361957, 408395002, 890965868, 1039918720, 149778630, 252194850, 404300450, 489336202, 241116803, 121927241, 17573605, 133402725, 720677444, 191157440, 709058072, 697389361, 228794306, 443293955, 306018777, 309546324, 647378798, 507521008, 749772085, 14752051, 874059750, 633281930, 404698503, 315916885, 736116442, 1397309, 321347307, 283627209, 808779481, 499569336, 304167135, 191427362, 518102401, 758453808, 736122685, 44238922, 620116299, 576311234, 375225981, 521816264, 92159533, 179584950, 114563120, 450780849, 838409732, 136717440, 575659492, 160325595, 152758023, 670635884, 365767653, 967632874, 133267832, 907710353, 34815765, 232036891, 468828246, 120469702, 856781823, 128685585, 93390517, 104912629, 896984050, 793304857, 758704588, 651461591, 118461305, 107531854, 47139402, 131915166, 1007950214, 872418436, 186490344, 28191495, 172649982, 476109183, 4627802, 677010033, 885022966, 747302651, 544410129, 1002897637, 990265147, 29209452, 928175481, 313892744, 566629849, 721571547, 812199439, 484782951, 202053239, 559046761, 364329945, 373095163, 586556253, 633541815, 314648303, 876510675, 881501424, 781431853, 234205939, 15425129, 42586823, 420835539, 163098095, 714949668, 248844583, 770966934, 538582034, 340252364, 700310437, 759645131, 1007432402, 134762804, 942175346, 631082794, 898579734, 200826777, 734888223, 356042457, 413038641, 907837970, 101761808, 1032845490, 265813292, 250313862, 715990117, 151780140, 224320259, 184898732, 651186438, 30450121, 857390022, 492787761, 958645755, 582402557, 482730433, 343796753, 534508620, 1009839909, 224371375, 148790463, 636467111, 335910551, 737709848, 76990000, 173957230, 302878939, 89523707, 556950607, 238863789, 326012784, 227730266, 1053098055, 836464407, 366256671, 531058025, 890250828, 685771081, 359669099, 452299903, 121220997, 35503771, 1050802392, 151407101, 63867359, 508405906, 234412180, 982622312, 552993972, 1066265717, 935801903, 738815108, 80736305, 464372457, 235098342, 199787594, 332981573, 815042208, 574686873, 199143046, 674926346, 655554166, 822089798, 661786320, 408241945, 25927493, 1072324030, 229280121, 55671753, 619846178, 1056674842, 825719229, 948200838, 975202313, 307869770, 1069709183, 536796719, 200806251, 992040300, 560406427, 81489465, 167273001, 812960851, 50490346, 510241590, 200766034, 641510854, 297268745, 1003480054, 62251819, 713095797, 1017648557, 53212533, 260494505, 172338641, 582916074, 233565819, 1033367274, 433517016, 408958005, 19958091, 475063185, 746303741, 491760673, 38575186, 955594319, 106663337, 790010344, 1024984357, 834710014, 96214049, 847642675, 210207120, 133606623, 286286430, 113248008, 658088949, 112192692, 646915765, 1005989165, 523640589, 503614343, 641819223, 522117163, 824064633, 1070502885, 474698844, 998808691, 1006423912, 788653537, 1045235200, 560219423, 1025794797, 944271284, 335422394, 257485338, 654486560, 470547359, 833018504, 78144475, 866974032, 423484214, 270904835, 840204316, 695285374, 549676133, 1009781869, 1045953837, 569808440, 866840311, 715064368, 842763906, 40317305, 967917888, 110012579, 751028136, 18618578, 826454064, 907218561, 574618404, 197852925, 807042335, 977521678, 353512075, 881666402, 61126330, 59978607, 125859731, 968567157, 359209602, 471424703, 941424790, 240818046, 669116137, 35278350, 428856767, 877915559, 657532580, 156474236, 536477398, 943091447, 918146117, 143550355, 338480636, 561831856, 424247484, 918597899, 66480583, 461752904, 88943779, 649831777, 364410676, 865949457, 1046502943, 52556322, 760951080, 742634343, 751098803, 502277955, 449155918, 1006604967, 877753834, 733250663, 398039003, 608219105, 21254236, 143661014, 625487344, 53586285, 820544747, 657722535, 593638923, 130317567, 409929383, 845371222, 311137437, 939772470, 838448753, 694137131, 749631627, 117903515, 349666484, 53954024, 456990678, 840095363, 530827712, 820615578, 93421516, 430479463, 195260059, 724911319, 368027810, 707092354, 167168108, 759520058, 631412895, 798398374, 1023442672, 395253037, 101758984, 70881300, 998578071, 856805018, 681180329, 936678968, 853731135, 189147913, 859179281, 23535991, 382270862, 191475361, 117182309, 356637954, 588923736, 199715147, 332475811, 320962113, 648017079, 160662574, 54216204, 850749178, 12652393, 1067290496, 999831371, 1072492253, 399048523, 715445675, 1012094119, 931929204, 274780498, 607651056, 471957818, 377439230, 149235488, 536587520, 680161306, 1070274531, 919497670, 570028239, 390012866, 619417885, 1047344137, 959640409, 510277040, 516792016, 560477308, 1044884962, 159805654, 921033131, 271932686, 100466706, 497350244, 883028710, 474650978, 302300344, 250921213, 171410563, 101893043, 569605974, 242327391, 538768584, 965718326, 374103731, 436342109, 316994986, 244091561, 678121220, 97755217, 94243901, 349987177, 35516558, 418325351, 94312792, 598101883, 515411543, 266553572, 419295955, 940692012, 104108160, 472046301, 612923098, 411853889, 645874213, 1032419153, 378508629, 101753644, 335492267, 563024127, 104458510, 246636713, 21570355, 646816546, 365778649, 82521496, 641977460, 651355698, 109468422, 586307248, 557535489, 397728323, 60692040, 196335040, 644985508, 321956980, 1054972509, 584801755, 73906006, 327028804, 30899737, 717554433, 345700662, 715852188, 69880295, 376610088, 994593912, 823971684, 3801171, 876989055, 330529958, 273700799, 379968342, 906640180, 1067912105, 507223473, 541389825, 777676274, 185132381, 482390373, 800321493, 290575182, 318259132, 748078640, 419583900, 399681306, 400448725, 155723409, 194151988, 88259104, 522169758, 669489792, 510744028, 145798140, 125814904, 511665221, 107474103, 49098684, 815247583, 76948161, 919271267, 765492007, 303104862, 85428579, 158914198, 617861428, 660102658, 1051718098, 129764684, 63937766, 504082028, 190208160, 940001648, 513204598, 206964489, 577981023, 694858401, 790046946, 209572850, 235917297, 157894014, 945954559, 179844131, 783450070, 781413340, 853948263, 727431684, 973989320, 466110151, 203482918, 9654341, 684056219, 968532004, 582543604, 507345894, 1018346310, 412646274, 917638003, 1006600314, 834878656, 120579126, 104615901, 235613304, 54907791, 238228602, 36931501, 388740233, 706637113, 849105929, 966182037, 853398076, 698483092, 310988510, 381112500, 120811789, 707682875, 967970737, 912539611, 244217900, 688721550, 628884092, 804444801, 949669710, 322732089, 1007502114, 826054369, 945894031, 991402470, 549866451, 75202848, 881609288, 163127999, 1039072504, 1037054369, 998480462, 1048024399, 315561466, 1024845138, 328493402, 150283453, 246014043, 56039323, 700735817, 538741465, 483158636, 1016659448, 1058820839, 330014352, 521397031, 62049443, 810792498, 716223716, 272675704, 649801, 430254423, 455553972, 200116822, 235999348, 25133807, 285082751, 539073690, 873894892, 573249991, 688059128, 740874505, 580420277, 713177104, 585311972, 207150411, 862010531, 575310564, 944736054, 902679090, 31248880, 1065174607, 421262462, 1002084597, 792172555, 37457195, 502016955, 569494395, 74232468, 240755784, 539022449, 131700778, 96068614, 3714656, 461154064, 956607119, 372411010, 528585489, 494372823, 201456768, 492846151, 358740310, 501462209, 265040290, 548171797, 483014173, 172848804, 560683529, 104789980, 1002734220, 347929282, 521280605, 831131685, 694776548, 886420025, 630658350, 178016073, 145390939, 550416431, 391323964, 1037255386, 236237451, 466199747, 148418377, 210276189, 388541541, 354569148, 201947687, 955747337, 562728380, 478250834, 994472010, 959880741, 180990269, 409930984, 1044197448, 334533554, 335194501, 342761583, 451381577, 227423245, 929802613, 254953750, 471121322, 497004098, 432795953, 461455254, 459765012, 23104527, 327139909, 169438645, 674830193, 816311760, 153532131, 809196258, 573477429, 968064112, 763389031, 355809542, 952100243, 902034705, 647905328, 946891441, 637697954, 382408905, 887162255, 397566284, 103680236, 418343518, 1057354513, 658721305, 382089681, 406756408, 461706692, 86204967, 872202173, 52086222, 307749959, 153143657, 312074062, 651455476, 612969672, 834661899, 1045056525, 854547233, 221976109, 516518670, 896294513, 289062728, 441146019, 445456092, 861340425, 999616849, 120810965, 1032297910, 377967004, 645208848, 88150910, 835256811, 843264970, 900584662, 142024144, 722991729, 3993762, 774785606, 568967833, 654789387, 788510505, 502750993, 635183012, 828155490, 268311769, 590536799, 1029291109, 847949916, 600368055, 885727314, 906807883, 941916102, 990199625, 678453470, 617714286, 660529491, 788863420, 931287101, 407180126, 406773419, 427180824, 557437660, 454278598, 588994061, 286323002, 295770515, 674659513, 135433806, 311158436, 352630488, 278823066, 613506096, 148719177, 916557835, 653077063, 945417028, 260909092, 371938064, 146419505, 849067508, 326080378, 1023407421, 40231489, 899389026, 992014844, 662730603, 924840747, 857172376, 870428614, 571898097, 1020644774, 546735603, 622267600, 376314484, 1038643781, 456381031, 874588345, 333219383, 1059672956, 586522572, 176789204, 622076392, 600394153, 1029128850, 58326500, 178482016, 66317531, 260498372, 751281311, 297319076, 169147639, 448269785, 35488506, 944846151, 225336124, 784692712, 1027435887, 176078884, 469081632, 34330211, 194158320, 760775097, 79254566, 924474586, 852430228, 276168149, 66439000, 1048736140, 1002337265, 42573436, 110365390, 1043798371, 124435463, 555044016, 584640871, 995226562, 954391602, 858457155, 580901694, 121082705, 238386891, 236201708, 710359001, 32700916, 559420297, 483877482, 240813321, 750224, 593496344, 389744362, 515818693, 742370591, 291983969, 516103586, 749534692, 15719670, 969745429, 664115170, 998949669, 603947732, 1011081396, 711683230, 39685862, 390240124, 798116625, 56467389, 396532214, 256542719, 1041246004, 955565115, 750279288, 503089916, 954687056, 395812790, 1027868718, 62894394, 40681894, 11516679, 760879983, 717169937, 543581529, 773470541, 732080996, 850932419, 780986294, 436862735, 888791374, 696805066, 1028837115, 924893902, 401454735, 1039516886, 315757614, 234971529, 799970492, 419505347, 992036103, 717308697, 193047289, 332190224, 948108727, 777831509, 612729678, 540361471, 1035991428, 503849843, 638965540, 624132012, 28716177, 466142202, 728897810, 67660045, 256045681, 361025080, 538614808, 578674832, 741549595, 508380938, 792136032, 907912900, 694450836, 520457794, 453426659, 915133930, 446604497, 733262703, 849314192, 916540102, 914973944, 275357858, 56931764, 834312199, 8500682, 329790222, 858871965, 173144885, 1036654090, 384198128, 164880306, 925509564, 205638156, 422055686, 405442024, 273111013, 84683281, 814770083, 437811357, 329193720, 479778007, 710861111, 379539992, 627933896, 127644163, 48707092, 249774927, 1025591142, 352765821, 375802674, 1008509534, 788173964, 280028756, 879613709, 630832140, 270725605, 744740041, 854181597, 353055822, 358417904, 998867496, 1012164679, 618462068, 306874711, 636632026, 259591550, 917428752, 732405630, 581773874, 182826119, 577555915, 308166928, 979897499, 663948135, 543367739, 521934711, 260338727, 451572992, 481817423, 309372411, 36577535, 520621207, 756335371, 748819763, 49846962, 851935112, 995604549, 644063377, 900213099, 560047792, 226161132, 61006600, 518097405, 558075203, 937352413, 824453860, 444748753, 85068461, 265145394, 93058401, 443212209, 596560886, 855022114, 759734947, 293342028, 457066029, 433151859, 291699360, 417650038, 1021616044, 870572765, 614940654, 304537417, 659666072, 525316403, 901748324, 791280725, 314194305, 519546349, 527838901, 54590625, 981806180, 214045217, 379696936, 440414132, 190539767, 804624343, 630992267, 400940829, 70824719, 16458698, 355229089, 726182049, 605750966, 228103314, 886137420, 69704567, 254079137, 376743316, 859073072, 741142328, 551895139, 873935008, 860420335, 1037573624, 58444054, 2008435, 647491087, 948833997, 24345198, 641537224, 105362361, 626377272, 847998686, 366752214, 699766527, 800073915, 377347654, 157722215, 4169278, 635569263, 218956531, 30427907, 1003344943, 437753919, 87129273, 213037172, 939870141, 590696609, 780894648, 1067398596, 333233668, 762327520, 234056060, 427671335, 387790179, 85362142, 253978995, 948520802, 593310052, 206014291, 533282826, 973847159, 289674519, 729076791, 495035417, 90206684, 805355368, 643675434, 1056078230, 52472887, 945659866, 1028353176, 522517157, 525789629, 1055607174, 719195692, 23544428, 28081439, 891359950, 523609495, 1063172697, 1073458920, 765382247, 846178766, 304257344, 402281051, 609809078, 894187783, 626556791, 352213941, 72423398, 41108103, 117755281, 830711538, 895333547, 22048243, 661580839, 581102762, 931726822, 192238171, 714879446, 842386673, 812002101, 469202341, 396588122, 540576314, 487405602, 260279251, 60321624, 360788646, 108772994, 113296956, 1006047659, 945684587, 440234583, 1015715781, 343499668, 789501133, 1062967947, 900937183, 572920599, 945773952, 280760381, 659688509, 138690373, 66573534, 855544761, 51297104, 571464782, 362604565, 100045120, 326383272, 401050946, 597620377, 816512515, 733489979, 41388098, 305718315, 156080420, 698025287, 333349067, 699326840, 868305783, 146030584, 188218376, 858256237, 73783675, 653852380, 371069824, 1008535458, 719271379, 607898800, 228579319, 668876485, 664863687, 1027154187, 1004756912, 899268625, 10889923, 77942455, 819493822, 381630271, 1014327461, 1059204723, 214527710, 613263414, 1043540594, 642193901, 792614063, 519361712, 538466887, 441417210, 351648055, 366095548, 433985144, 929990737, 400072945, 153857356, 96612709, 515477700, 214471490, 336088442, 19815615, 495758918, 4133669, 326566397, 120271789, 242688707, 576379329, 788640754, 1048736701, 399988983, 770771652, 177713493, 385454273, 115725185, 126091330, 403314232, 657387887, 99773242, 600171392, 690326745, 520946318, 430437848, 906013308, 481308123, 103814454, 398078653, 68197558, 603297111, 784365287, 848596665, 794407547, 889068637, 441152274, 330032811, 754079313, 290428563, 715748901, 738401047, 283508204, 386478077, 649931645, 547842882, 34056091, 278690148, 965120417, 61901125, 148360815, 39318527, 979454527, 874565140, 692839439, 1000954310, 866751137, 867870310, 708986300, 998872227, 97866559, 905401547, 1068758163, 527896585, 210074603, 682341428, 250931464, 652349965, 485642148, 593799576, 67887394, 279963485, 988500471, 812132151, 263184574, 138447430, 159516733, 1018817386, 1068380750, 489960169, 13042256, 82320179, 920687661, 171956784, 908601811, 67855248, 1042857362, 745367, 234807988, 1048836194, 198854433, 391124607, 456869305, 605918842, 329429190, 794790611, 563817335, 145386847, 960369975, 60283946, 420307673, 58907920, 792404971, 791619172, 726694895, 804332450, 268375520, 783007863, 575209632, 686628318, 819094612, 277518061, 897818512, 1012455165, 124459055, 1030892133, 86385883, 694133752, 356767788, 120377900, 761915696, 719938648, 425101745, 1027142100, 623747083, 280171644, 906602590, 289380672, 455004990, 436137238, 311091813, 922086403, 165261903, 188658286, 460930516, 594056161, 168019565, 141304540, 136135558, 116621856, 314527949, 997205095, 125736884, 284803544, 190396729, 976108918, 705795179, 541572526, 755815573, 739873521, 143010909, 231692447, 424560425, 672159445, 46575703, 208021466, 488569662, 243416525, 1051582775, 207470980, 611741339, 372846997, 430734180, 195977092, 399272155, 200177397, 311651509, 700244529, 394936982, 904402078, 1037746457, 743872423, 704218383, 306853056, 704452223, 946398892, 930788861, 11925882, 252102893, 235679351, 175742386, 821609049, 16650615, 701051249, 868549269, 635082407, 777617361, 876817626, 130257916, 460947400, 81665315, 691545239, 110436901, 818048245, 18998535, 315648944, 360408493, 753610799, 1030599971, 210945623, 411367467, 372547314, 289530814, 397044645, 959108348, 143013349, 756227308, 181338394, 313574300, 942437521, 848420927, 33823153, 598629999, 492969323, 1004163331, 359835963, 364277103, 723276247, 551046994, 592008593, 527916951, 533225385, 899429016, 1022797366, 462208936, 30675877, 193289606, 739023706, 136119463, 1020581829, 530946208, 300813487, 456270726, 8012583, 50123021, 486963247, 824716778, 119510196, 91398247, 7226088, 960430348, 320290524, 115921412, 956179418, 1044413834, 537913464, 316971960, 686327430, 957752616, 801425800, 249555202, 208306088, 43910165, 731132266, 719033470, 885372147, 782705669, 1021214460, 568951030, 711403421, 986309222, 678312798, 374610637, 906359731, 768669578, 18394249, 123630849, 455361690, 48017138, 453395616, 472182533, 717103737, 209498800, 84104132, 517815787, 1031041994, 64257987, 329925479, 865810198, 314426783, 395190177, 544436017, 59752708, 841019518, 590924029, 1070185090, 1006299078, 87540323, 460047538, 138454468, 363892531, 661155207, 28683249, 90464438, 618676971, 332236530, 352961268, 721120220, 592595527, 56310182, 271156496, 637351509, 68723336, 783065171, 57212543, 446641053, 568135213, 166008530, 209717714, 493142885, 453510057, 742570624, 102144357, 695962666, 887115916, 431149387, 79167213, 93087142, 656514013, 620656707, 749261350, 836221244, 161300021, 277618139, 1051276060, 277135987, 192078572, 161646630, 100779634, 1070400622, 963699508, 164896252, 272827574, 397630518, 47374616, 876132262, 161999827, 174114563, 752162411, 367623498, 990062798, 920298797, 734149187, 668626872, 611627401, 832848414, 269773772, 783799422, 344198035, 450478614, 80708851, 82519010, 347942245, 362656183, 972043059, 1052311312, 539046039, 369862015, 799556068, 680515594, 8827503, 8587100, 66576056, 38320537, 439433167, 130544880, 210970921, 361279902, 311254019, 708835632, 199731248, 38290636, 366544319, 856165240, 953131183, 247101361, 892518226, 822379336, 803614406, 662287895, 254941392, 1070592692, 159394774, 805307213, 374763398, 905571366, 135955535, 862041420, 480306368, 699990437, 508805807, 659529289, 62763272, 248416085, 597808593, 1063056059, 95672120, 931913179, 1061704790, 811410189, 777696312, 221313161, 598287497, 26811389, 1033479398, 992016652, 909381163, 630347536, 26439558, 759523857, 888941364, 563828736, 1061741455, 454257762, 140135769, 188713185, 176336936, 866274640, 317812432, 857667525, 515848781, 773744290, 352235718, 662399253, 567729631, 1008706797, 593986402, 296446080, 976253912, 316600573, 812383582, 112450023, 35795215, 291883791, 709845687, 347110359, 945826376, 448484900, 500409177, 72666093, 830690367, 318341296, 816851974, 579243644, 553030200, 600313614, 123773600, 195358089, 289190257, 257309452, 1036218366, 845119439, 269067580, 853574798, 360956431, 841416601, 1052851755, 809449936, 1059493858, 870564902, 720227738, 1031671496, 560115498, 682171186, 764335303, 926992603, 463148162, 774246767, 739480852, 43442384, 569214789, 425749945, 810072522, 1058339587, 41036889, 720024747, 156419641, 900112409, 173267493, 908253303, 530712555, 19025146, 50982956, 174129632, 903355872, 985646678, 767513596, 570938732, 889243896, 448064310, 77024534, 150486742, 976468961, 653607668, 658410836, 965144055, 159646383, 462774548, 324737144, 91966477, 845089526, 855613693, 492073649, 175441842, 235987746, 1000948390, 341607241, 365435924, 190705404, 397210261, 10042289, 952433747, 978947827, 970650377, 382218388, 988186890, 807602040, 599993605, 496312673, 5023459, 839304622, 920160495, 491497962, 879542060, 243855516, 522944607, 284756152, 896261509, 757071454, 132973720, 1067197698, 786172752, 234898236, 689042507, 24391378, 906347663, 592000182, 386157092, 351246282, 756327045, 339483195, 511807659, 194991897, 252498326, 703246460, 1038022186, 893389719, 758354340, 977113157, 19264500, 401850017, 232437615, 158105765, 1066573114, 504612005, 622382240, 383887935, 169381369, 1005480143, 479097636, 557323673, 953530765, 632423657, 427478846, 80454834, 440577326, 391717082, 1023780774, 170716750, 20472522, 948481697, 877457888, 66722394, 1033270865, 58434837, 684078393, 583183674, 329638123, 846525218, 11779249, 258180267, 825109804, 823206581, 840124344, 861427234, 861300556, 134985854, 554189154, 38864129, 124705260, 903042792, 619383136, 553828787, 597591207, 785243287, 1028333670, 704882883, 502132191, 602829790, 662041291, 3450740, 259413904, 236649575, 218539518, 1060823467, 498623849, 1061522789, 510862368, 210932143, 131655790, 332221962, 995519167, 424036213, 413338952, 487982561, 81729683, 384377167, 267381194, 94483159, 594708925, 950410241, 697665584, 1008855668, 754205989, 579530384, 606236144, 409083400, 445022924, 698562902, 27784864, 9959593, 769483406, 903738254, 702619709, 877300684, 1051083391, 769415577, 430979212, 797761087, 128650942, 814177976, 629528959, 278357585, 198006925, 483972820, 529790272, 160299754, 809961249, 443707600, 28304545, 690265788, 97802268, 1047265570, 572314409, 282351339, 533309953, 48111604, 33096264, 212458225, 382071350, 427303445, 654406908, 1033953461, 628574328, 238728630, 311469421, 524499927, 533502270, 679093916, 926131858, 149092754, 544134009, 611638581, 747360492, 294833405, 447811480, 720794375, 265029491, 682997064, 459556904, 1031948332, 299200904, 898087365, 219917795, 391881327, 600686643, 120354391, 15007479, 810764271, 18935744, 252535661, 203854079, 647764693, 220170710, 650121879, 512020173, 1016643352, 891747474, 528766238, 235160613, 359615258, 1062895993, 798084621, 470986893, 247804641, 781189742, 210217166, 693483893, 691043116, 698067981, 667311188, 27644335, 308461909, 640513160, 466632076, 962963623, 35322082, 701597857, 662457354, 829665649, 674306185, 75045381, 201063, 558414545, 1062605855, 31340860, 357278305, 373667712, 619280773, 657892016, 251129539, 303203316, 877666250, 448157406, 260987170, 471339494, 605601538, 532429540, 526169054, 508602611, 155949767, 504990370, 164583311, 793938074, 251724391, 105430262, 642214359, 271981464, 607567096, 523418938, 297719724, 582050810, 785440549, 775961523, 228821597, 769480324, 292557942, 721132389, 13554915, 241459360, 918392673, 99228738, 718240863, 914936656, 513028548, 539464480, 661635976, 644506571, 37405820, 272012288, 796678944, 60499354, 286904544, 1009112555, 672688711, 136595970, 475858209, 231497833, 766717083, 364568016, 954424917, 765414833, 447153825, 1058463121, 266428089, 109508398, 1018456545, 17141649, 772612400, 757542507, 198622483, 399022745, 28248627, 315683346, 418472561, 211540680, 154599414, 680762411, 647067621, 508198968, 468503982, 555835552, 765703703, 938671356, 394329107, 732513662, 204220808, 649896133, 801288127, 435073649, 538718944, 57469876, 229134883, 455470230, 755733146, 581874104, 642643489, 699689907, 458414071, 252816522, 461437476, 457507349, 502402149, 116970470, 175361182, 889499226, 683855505, 832371, 279053985, 458462045, 385922530, 222751695, 1033964868, 552732718, 8948384, 955724158, 677560532, 274913212, 216904077, 619508838, 624915978, 864308005, 1042638425, 626020137, 274688361, 735755327, 994229152, 367554660, 648444609, 210356373, 835180460, 424683036, 483553810, 943220453, 433985004, 483898002, 447870884, 315432720, 691840378, 563899088, 26778128, 946182627, 740594217, 614486477, 806487576, 981614658, 615287540, 866621938, 447692712, 980788238, 799883244, 814437922, 607790192, 1049823717, 142050917, 408646636, 664603072, 654930324, 947676743, 794078533, 66419870, 1028073687, 569806288, 747124302, 188799279, 987392124, 821420092, 125240803, 387320448, 1024747261, 1034558806, 483669802, 833709200, 453174138, 10996826, 53490922, 725271574, 1073397335, 497469505, 557117339, 577921055, 727229889, 835259626, 32212662, 405262685, 658376166, 743501444, 153680020, 589522465, 462824285, 347445342, 243534390, 785168099, 50917366, 972338399, 647883018, 715302155, 148265177, 526642284, 269794810, 223801195, 951860075, 602369493, 263445336, 900330108, 486456971, 540172897, 520312953, 108706408, 392331578, 348332028, 341627112, 123594362, 992671847, 915381296, 528162672, 1071042271, 462421078, 395195381, 554105649, 632478172, 197611510, 59935457, 971125721, 191716109, 476767951, 860193545, 612182868, 697599595, 940137249, 497394212, 9725331, 857029432, 756340501, 968827981, 179229572, 440701653, 993408176, 579310146, 7009964, 819723220, 17543822, 632914947, 194199698, 185080857, 846196859, 889195433, 240780939, 984566747, 561687927, 542026696, 859832512, 368115930, 133526943, 731093523, 268341639, 564974676, 398963223, 762322913, 1002056213, 881786919, 558743658, 710444675, 599430627, 824884103, 975078693, 1017598325, 881252345, 732064012, 880065502, 366214992, 433169003, 1025749706, 1070188727, 22079290, 173889684, 805275223, 170426394, 620018796, 906088013, 199792306, 396279281, 639019329, 35762150, 450874181, 792172232, 407139987, 308404358, 116231110, 343980364, 626385557, 1066525244, 203460621, 692717445, 1052261934, 1050333813, 634055903, 492563495, 279590056, 1039159949, 1070129028, 1071750242, 348053521, 1055796701, 108777082, 297607393, 285845805, 1004263753, 521102118, 115316504, 1030831890, 901195707, 472599112, 210948198, 966207055, 652618730, 996207374, 344538503, 642505560, 843220414, 546526226, 452703133, 1071611901, 688231114, 199083277, 1025122317, 418676016, 427831976, 466145096, 554048045, 177055846, 331686307, 409095321, 1037122350, 702419875, 315004487, 855509355, 888267953, 494468270, 419920526, 66249584, 137659115, 976856677, 296269767, 454852286, 523712783, 132766230, 1034315675, 1001470622, 978057952, 290050308, 133359300, 438595223, 645412913, 961083444, 493218315, 1068635154, 64970041, 979456451, 1036406446, 618278249, 837965395, 625401090, 144662817, 295829529, 1041667664, 868242224, 334312486, 276232228, 445528353, 970894415, 1054109068, 95222508, 358311298, 142472219, 578069355, 19287087, 120939708, 317196058, 727363928, 885589765, 360830269, 448334248, 758289264, 572855947, 783911233, 428517121, 509962244, 134158548, 446542973, 667199913, 294275043, 457311164, 859592562, 109834808, 420332222, 953322280, 1045120035, 1000297803, 265362552, 532478059, 451870053, 873987088, 134184991, 1056511222, 480012329, 124783965, 692128019, 1034042016, 404859955, 99505230, 697163183, 162783719, 842188247, 52840486, 1065269555, 340733423, 867814291, 941053755, 908283423, 250261543, 208958825, 17356075, 579958734, 324886253, 111642444, 355872994, 85946936, 583641467, 107712702, 781101384, 284689052, 156277624, 305024075, 137997452, 473573037, 175053257, 632501434, 1035611330, 245781267, 11038742, 471981890, 41775058, 935609590, 568800860, 1005095219, 793444989, 918435813, 975702100, 858921936, 167836973, 519169814, 1025386898, 950576011, 729577470, 634819711, 189198008, 553520737, 443298003, 137555191, 618831325, 994581690, 548351512, 105668784, 685146210, 435279299, 534368994, 638733744, 842425961, 462010435, 144628023, 790909340, 385240131, 769801148, 526008670, 407440187, 877585640, 392483153, 638068551, 659435422, 1064278677, 618594360, 22812323, 526138962, 1031527035, 156810512, 225879070, 745301822, 25173686, 735470049, 108406819, 64546566, 324508587, 546384597, 673725012, 981818867, 532019534, 710971050, 1027075344, 485762480, 993394086, 701889292, 1043648555, 845766772, 1000996812, 302258475, 184554163, 651056891, 34595667, 736422499, 922864571, 570956082, 199142063, 146975457, 805529477, 737749274, 492300682, 794440788, 602909083, 860628875, 793716589, 147260034, 374952456, 459055444, 737774832, 146200111, 804177922, 974755717, 1052665442, 697448282, 594404502, 819953710, 14939679, 111968892, 516068749, 746558582, 408472125, 424079973, 1019361390, 207041715, 814565414, 94700742, 1041395488, 487346817, 477141897, 471813416, 335073715, 525692782, 1028907982, 367143659, 807905164, 874505994, 532039680, 542049160, 579917897, 854106279, 679720085, 61886635, 885726397, 46475088, 498140301, 835958379, 1036761796, 1059763845, 857595940, 41866164, 622313988, 192405210, 597116636, 447009936, 910572235, 240911808, 814153847, 315355226, 226487277, 281533211, 582121603, 842491397, 732053841, 234948622, 883807444, 572750286, 840522526, 164750620, 149818490, 538284636, 699553524, 775173793, 795849170, 766498973, 498010340, 601964216, 50277263, 755393740, 923953728, 1013133720, 40463243, 859468905, 696556881, 839392272, 508722093, 94710527, 244591295, 719180365, 913968055, 431842083, 470833096, 292732648, 877492137, 835860346, 234899028, 472581199, 441700217, 483887766, 506410646, 42923809, 133044841, 408872175, 442399164, 224718938, 507556224, 896959811, 205324952, 833071373, 379511996, 371940210, 847570182, 987473113, 910884654, 504616945, 554663713, 66623056, 1006475886, 744614154, 164183634, 522682539, 254940130, 783860962, 422201031, 198782403, 595277190, 1056528249, 43788664, 1071269871, 626878200, 1060849521, 187243639, 595885688, 1058675463, 443653427, 785766605, 133945913, 349735478, 273450017, 961544350, 974322947, 583353509, 808465947, 533955842, 1030734472, 326644181, 323863011, 218186046, 223446113, 594320023, 572194923, 701512760, 608759478, 869644221, 160932142, 54991643, 769820532, 202039726, 515267437, 744319276, 698440818, 252479456, 344799753, 701523068, 8163185, 471585651, 201995088, 893203977, 1023902969, 68353497, 280518898, 461324355, 819360503, 846553131, 571940808, 869475271, 275744838, 615614285, 182879698, 925517918, 257890099, 172619836, 206514971, 125505485, 715524952, 664385919, 226966220, 600990194, 930008432, 368573273, 577045575, 276295513, 335371617, 176887495, 444704101, 1073229462, 776139602, 478886045, 391301197, 444085025, 235150359, 464824447, 175212117, 577597028, 292762744, 138076134, 235181246, 296166220, 763563806, 756665349, 623947328, 976266317, 196512402, 645099382, 327743700, 162314288, 754473392, 479102539, 447420462, 726689024, 105036696, 882563882, 998492398, 644878235, 284619728, 112495801, 929503063, 47642012, 220540997, 186395978, 658426296, 802549033, 362336258, 6520877, 732021968, 151984221, 271881504, 371098419, 318927496, 960114406, 991036228, 765167478, 928294942, 412689393, 637140520, 721076826, 524112184, 365969718, 461881363, 584542998, 794088244, 813847089, 308294043, 186563339, 270984513, 538581614, 163359526, 95855385, 432917970, 150149171, 681404, 689256579, 73883347, 1064022405, 38304099, 347222176, 514319933, 686302483, 1059675961, 723624898, 446032102, 958922694, 492069673, 839685417, 46521673, 247296109, 602840471, 934436976, 539124617, 225730478, 833487354, 762669721, 325819239, 273440997, 254316004, 119778205, 217674011, 855715213, 1013782083, 720393040, 901897610, 154843598, 913008933, 1012160045, 432540388, 810823678, 977548943, 413244112, 230727786, 641576781, 148807740, 346766959, 811223980, 633295293, 111823355, 180856358, 225937591, 977058214, 36913358, 449804952, 52851010, 552309912, 1047714180, 438746968, 204798832, 1020667981, 415941233, 37437466, 111898971, 208964169, 185839825, 608572712, 70366591, 810363529, 374816466, 480995121, 551991126, 783490726, 370074614, 505195911, 380324607, 43674723, 735491056, 702346156, 879720926, 124067724, 494339207, 306537861, 949394187, 245852763, 310668819, 1003466219, 344573621, 846437345, 450811276, 544608590, 451495858, 277516884, 772156929, 538848281, 30227624, 18946309, 781278699, 961703387, 171964675, 669915885, 488081414, 425433840, 548160289, 479829659, 643393391, 938325428, 362195226, 889421674, 829180727, 860363440, 4933666, 1029653194, 201614431, 1006680983, 577167542, 478011875, 75644076, 156725878, 776510678, 255532119, 906692947, 641155204, 346856645, 202889101, 333849083, 270111845, 1053738370, 215913469, 376494655, 807030457, 317380713, 263547386, 99807136, 284076098, 843597174, 993671346, 576806795, 184007679, 1057627400, 4352980, 501961780, 312067169, 868868826, 884186614, 610796844, 238214698, 502985907, 620390639, 342510931, 540180608, 472108012, 14907134, 310409127, 102900456, 654625070, 953247281, 717476611, 114004279, 37620441, 549653899, 735002220, 979811566, 240110484, 517608775, 944644503, 766743449, 294889280, 199386283, 726846811, 422025463, 843199265, 746852812, 778763007, 789581709, 565012199, 18919124, 996342038, 427655309, 899736447, 13832636, 265199376, 808729664, 173456046, 913713053, 33449944, 149445178, 303035787, 664295546, 292972242, 40790631, 659661743, 16394712, 600261878, 298301184, 867293369, 337028144, 976064055, 438519962, 251521856, 972412059, 886240377, 57768288, 602410141, 147011996, 822059055, 112563880, 943473147, 25736219, 195031705, 222740498, 435961298, 1606785, 769837485, 252447699, 947267228, 496152207, 879093526, 1051605305, 582054986, 375361876, 514556, 337533827, 378272649, 1051438459, 916532979, 392691053, 103457166, 646936779, 731302810, 543537967, 1036448226, 1023982396, 651567011, 628170934, 784187810, 882014898, 400077480, 709427869, 872367894, 571627752, 949235740, 1014204051, 214349896, 78881880, 896149828, 384336155, 423917285, 491120395, 60077733, 561351182, 452564018, 267797407, 616224317, 548812778, 404541086, 960466754, 790763682, 526015367, 785632170, 173723773, 754302824, 387269466, 894611206, 979652204, 634889097, 189592264, 426685196, 561045089, 73457020, 114369504, 379667291, 485575569, 560110391, 561101174, 13899385, 747717758, 552824906, 72638262, 452910076, 878351091, 294520824, 262929282, 760300999, 348749242, 857487699, 862116544, 834094111, 819135544, 783122249, 1000382807, 797953613, 392523312, 895691856, 777073464, 655167479, 586346644, 267208779, 694701633, 420878184, 980322594, 1034512096, 513495026, 773110343, 620741136, 572210696, 998703891, 134945758, 273487853, 561537695, 598205065, 660159435, 578638010, 448586935, 176746704, 48171878, 576766140, 1049307619, 104440674, 524686795, 221399520, 590673936, 454455481, 772944819, 486091328, 355314292, 892466390, 185902093, 989444050, 453513901, 38610426, 515461827, 289152421, 53698012, 28989894, 304174912, 383336798, 144426832, 165732693, 985855772, 968111660, 369330507, 1048951769, 274678380, 653073407, 89696986, 768424211, 367251990, 818324688, 955136689, 865456152, 852986486, 727589720, 979973818, 407905013, 813265405, 366082302, 656268617, 439628942, 784100707, 951668466, 153116876, 518622249, 403390430, 237466442, 768242981, 700863484, 857792178, 961742402, 749143410, 782217774, 408472928, 403453253, 920881391, 586226497, 704140348, 783362522, 867657713, 1037087836, 129476120, 776292297, 763767457, 368118991, 515144112, 874728906, 1070728864, 705930651, 841380105, 771003090, 976290827, 915955208, 422001314, 359338100, 382057879, 836969619, 286257384, 745494452, 76580106, 794850784, 558790420, 133409454, 127137120, 803378574, 300418279, 86800235, 713081182, 358306, 650666627, 616280380, 409728067, 823698247, 874560139, 393384943, 151161309, 817926666, 23566475, 585007044, 1056290945, 396552848, 242990689, 973770680, 371997972, 915701331, 257624043, 443357614, 118307247, 98710783, 255908785, 332822922, 402356798, 1055468869, 28635653, 821117768, 798475686, 210000902, 511939522, 401609279, 887777497, 172747278, 513060666, 572019480, 557496507, 97541102, 787344528, 349596483, 848621714, 267938242, 938382967, 41805166, 893752591, 676445896, 561269216, 185585522, 372641675, 603996393, 11310322, 953329827, 516207051, 334336195, 255913007, 423635505, 807106662, 190046046, 549081294, 557576425, 611644566, 384888499, 633154751, 459321179, 297065619, 542023496, 876214251, 154358422, 669311394, 985158434, 962682518, 65365293, 834874118, 464503629, 1024379551, 448505634, 76263825, 278699368, 64955388, 285084582, 328327844, 271024354, 636400162, 971415210, 777100640, 135483818, 197625034, 411940454, 845296284, 733913954, 358317457, 219869173, 796724993, 833883275, 160671075, 980074003, 841854365, 474950089, 252951172, 1016882372, 1053103013, 459052318, 711980135, 401198606, 1004416396, 29218642, 232756040, 575529889, 557431313, 854333549, 729601334, 900355957, 694143592, 915398595, 940113532, 768852943, 678707263, 381923464, 615035795, 919943001, 953572623, 148186433, 799699808, 791876379, 21275103, 929725839, 851708727, 309328012, 1045759351, 190603139, 687784689, 593186412, 755852170, 888606972, 859800364, 239012131, 216501978, 165452585, 672023246, 644164357, 351952849, 393563476, 718556040, 641457603, 11217552, 907636512, 337708076, 939158408, 758008792, 288812741, 818247698, 986857982, 693543949, 754028524, 974616333, 177228201, 460183722, 25636060, 82690129, 69554495, 24340166, 575070084, 819357133, 205942136, 720463158, 296882232, 465383480, 910278439, 409511098, 785795805, 741155280, 802545089, 556020895, 230030826, 360790799, 219711514, 168955689, 511831940, 1011559192, 504360187, 1020645413, 572195768, 606345331, 844242165, 426378960, 218500621, 253127012, 412788114, 472625709, 910056437, 117574391, 426820609, 148735004, 263084570, 795250787, 795045621, 510376012, 431929149, 263111440, 212691516, 277225443, 219839442, 220321578, 44124264, 80527046, 964836906, 230010717, 576136868, 791530792, 977782656, 120575722, 506400958, 259140297, 331740779, 158960147, 522875588, 246554034, 877229240, 307601490, 461413928, 761174333, 821163703, 64604485, 345041676, 317024153, 765009578, 747204625, 260992103, 585159281, 365080367, 836518525, 688351127, 126692811, 296334984, 839211278, 429408191, 118256742, 989517154, 668893483, 449317681, 190400091, 479333083, 770270297, 531637163, 1019751818, 22729396, 234971210, 4445601, 266704109, 737580565, 835200125, 485568910, 667973016, 349423212, 793652710, 56862232, 890282569, 520292898, 570879683, 500920730, 777619803, 1010879796, 611720261, 263110294, 625954373, 231143701, 690050293, 414764622, 261452910, 152188913, 189394345, 389804266, 173549951, 121159036, 126631565, 581627021, 810820400, 750170427, 272675194, 58409109, 277867851, 877566203, 810537048, 123949441, 180004731, 986817755, 777077826, 19324432, 598668242, 530700758, 1000644854, 1050670737, 477030781, 386735688, 641471126, 734839664, 247452389, 222044684, 554082257, 734406435, 534891589, 426474153, 621506008, 784939532, 192033690, 55207609, 242876859, 296468267, 179311493, 1019642733, 965481811, 586284589, 993106932, 134172089, 137950240, 633570709, 104536426, 777564219, 84215181, 838977796, 33529485, 248433398, 1071641359, 270381355, 481932817, 476445918, 1880320, 207909440, 1029631491, 985739596, 428211578, 414528431, 580869482, 240607795, 314796354, 1057487604, 525432955, 644830956, 931779810, 400704900, 697949556, 673981982, 884088323, 748301724, 247103111, 1020717207, 358304902, 872927916, 450441229, 94737194, 447349998, 1048666895, 131052466, 64450019, 230987057, 399505086, 909183096, 501100544, 55362753, 597783643, 31044495, 833270109, 248767462, 773688627, 209169691, 1065077893, 547814842, 772538262, 727749641, 654528661, 219089634, 370675672, 515962142, 930375406, 891167725, 860614168, 352370282, 24610713, 493132870, 530772061, 835810894, 1028447929, 359623913, 66703138, 18744757, 776323515, 425838902, 109745180, 777048487, 597031997, 243871625, 68024208, 484895180, 238940158, 433655489, 977234973, 508002434, 1011203806, 111543509, 151518816, 410204048, 974416286, 656219456, 684118, 441427435, 98763596, 564979102, 503817793, 158271107, 815929983, 442384577, 819079934, 363256195, 646635508, 164025169, 868406418, 356388990, 975380588, 526343693, 472524442, 120169763, 670021619, 732448149, 992636542, 980537907, 397345928, 360491017, 278606588, 1047560485, 375407535, 537652396, 1049343718, 45757351, 832305842, 477812432, 272256560, 467119725, 144986311, 941322407, 295871101, 65134214, 100508535, 83886589, 505504218, 649107174, 649840783, 329697970, 179788094, 719558010, 944615424, 841154491, 221587449, 811388694, 433651395, 732619603, 509789646, 114394607, 514318757, 912121032, 721637860, 431932791, 753747455, 31220405, 545869050, 377662885, 769594359, 256176730, 305097488, 962889685, 755143893, 1023384646, 889487410, 565363547, 54006885, 877471357, 704109281, 722670638, 918355718, 18995027, 532010290, 588712722, 197477054, 294810178, 742806686, 706788576, 960022600, 883559172, 149316883, 334379992, 486405725, 495043993, 956739118, 39042512, 328367526, 127916046, 919577277, 289591770, 697916081, 771322819, 181242746, 896959525, 279707294, 180210131, 374049638, 13891389, 914448980, 499403744, 929621788, 83049052, 41761626, 248207322, 1035545548, 1029612292, 175235138, 426906055, 170815712, 387294205, 454230664, 819727413, 143854735, 177030858, 959923815, 853885632, 521704348, 202794865, 269972755, 424976716, 318544070, 248691814, 538652860, 269082130, 259790241, 559465265, 136306603, 979485851, 404784792, 748351727, 925776663, 999171867, 110214270, 788842561, 152191924, 31649963, 90161856, 95294395, 444060823, 674157254, 764136748, 725859640, 244102489, 884809326, 1069149577, 488814346, 550911300, 314511949, 444988399, 713794502, 139028936, 97524337, 75314035, 27804062, 929555507, 988575016, 534219988, 160141704, 317905959, 510767309, 621611470, 942768028, 103253899, 12084679, 277276691, 601839198, 856116434, 646933779, 907261568, 113141817, 422079586, 957045744, 615101723, 827104222, 713592640, 887559620, 385952301, 355162065, 535607017, 279715497, 362540446, 240367745, 764990032, 739131606, 392917888, 92342109, 331215292, 920713272, 24001003, 862548997, 695408467, 378542205, 818737136, 773764820, 726510318, 765276733, 418339730, 925108187, 311940062, 789886425, 45508429, 160009486, 141365952, 518716562, 64662430, 28938488, 716220833, 1050597175, 12890363, 204400372, 343860817, 400015133, 446729483, 170680118, 181778872, 587986026, 148665973, 199603294, 915278087, 744297409, 525185142, 597254755, 416792593, 961147944, 1033996475, 229377757, 1026247001, 97705555, 453688477, 376023090, 197789213, 422885414, 63611761, 332089821, 705445960, 1010006605, 847537052, 193249471, 631420933, 716271574, 254033755, 831589533, 610744689, 937892713, 815743691, 621744896, 198645815, 772864140, 273998287, 566655724, 635269700, 653661891, 224767692, 193642638, 321834009, 436643462, 488487773, 158638519, 489101008, 892673748, 300034885, 633330560, 993452104, 361144792, 605014453, 273407258, 1072122875, 681325555, 187346691, 419257, 448464534, 692476045, 910924417, 755678086, 690414723, 349937445, 359860702, 111900966, 561761879, 948311134, 441386678, 892388953, 861923505, 581260748, 681968130, 244082327, 493299275, 1003928588, 507849408, 423636127, 373980072, 703827212, 828718785, 1024319264, 205656224, 618934915, 158634063, 464667850, 399408245, 358271949, 845466015, 95333430, 14252589, 816184781, 1065091608, 512976393, 793022378, 966898135, 255988005, 424428353, 75489527, 664444714, 696005929, 1015362793, 487434418, 1007495161, 694429373, 914019360, 145130642, 477825746, 331429374, 82354807, 373022214, 247894382, 371746485, 602728858, 39819663, 324188017, 967833189, 528430944, 210422918, 374162826, 214497427, 234421047, 562777089, 918873824, 387338153, 259669021, 55433660, 749032030, 410484989, 886517699, 411473847, 558276607, 539185627, 174817367, 785563014, 982388732, 643393415, 709215167, 273401045, 410028591, 1018472227, 740558493, 416363435, 606206776, 741598557, 606137091, 240151948, 531215453, 73922253, 351958896, 985657151, 639723441, 1071046789, 333217335, 437605540, 1072228660, 950697352, 558949024, 633823831, 281977386, 29656626, 668161456, 1061863313, 633746219, 742341515, 964748374, 677040267, 673561853, 682457250, 924612393, 161558842, 38494470, 207256764, 839279243, 552285581, 226157147, 384941666, 1067989399, 408415900, 704654829, 224943327, 641925107, 999102447, 103582277, 168494926, 640342387, 140630335, 483694168, 213087982, 237210825, 892419263, 794420161, 257426176, 969716676, 955433974, 656444079, 583015133, 97795714, 616679550, 51962035, 80934078, 496982344, 86188374, 1037282520, 367461846, 359118198, 814705550, 732396400, 479396719, 943603139, 153390475, 365947099, 531339559, 461638697, 761190357, 627708107, 969699840, 7661309, 782562182, 84146707, 387004637, 182692461, 615028390, 699064104, 866671278, 19398722, 985925572, 263863518, 692293445, 127319312, 530121074, 770017781, 567558385, 1040036944, 176668127, 202988498, 1926885, 328665358, 1018377871, 494812311, 927440591, 233856849, 909884388, 485568155, 745813579, 14784104, 651110301, 880511919, 524795385, 159014134, 148958158, 150553416, 135432472, 977975276, 990464442, 952365097, 994310335, 551869565, 162684067, 181535202, 700884587, 249626934, 805469238, 182392873, 810756168, 223499998, 192703337, 317462257, 421554289, 707410796, 581219732, 638099760, 161973329, 903250069, 204229729, 304947590, 14666926, 395683625, 1064279478, 1024202436, 311302290, 276707956, 396065480, 416259156, 784068963, 512412007, 565046481, 135148220, 551426796, 772072328, 275504468, 651292499, 244956557, 1021982775, 85459685, 66163940, 126488399, 888669339, 411207420, 328358400, 1038700167, 525834814, 516890251, 215096181, 310002203, 265776777, 911991421, 601561234, 940913692, 139325727, 543860281, 591178296, 107672128, 133315170, 679322279, 207437821, 644516737, 807971237, 673764923, 329269479, 387390267, 994304441, 744020643, 330450904, 503835808, 899668105, 416752058, 750169271, 789912028, 901241471, 230264575, 404497668, 351532990, 462572363, 919202753, 6162827, 9040232, 140883792, 963303000, 615448957, 709205462, 914843838, 672140281, 43496472, 168727038, 313389699, 678916166, 543396782, 1073500063, 642766481, 303630986, 11023743, 1053169090, 831611589, 772265585, 520550051, 415264915, 584168975, 683559761, 967941556, 113250444, 508724940, 591497703, 531657592, 350400606, 381938442, 630566569, 895423601, 630824673, 648545991, 938446951, 469803150, 872986759, 583417928, 89222301, 529722740, 663360857, 722028438, 533191393, 279792876, 840623554, 739837059, 778475855, 482702421, 978170668, 863760537, 925250951, 509783231, 710278333, 947727653, 149397399, 113027088, 124115409, 21473296, 171512139, 937495625, 687420564, 292286760, 92382024, 522722966, 191465491, 177125771, 485375167, 113027858, 479343231, 459198126, 665184337, 876597154, 629514205, 883187228, 730530788, 624851522, 508848370, 871178280, 220433683, 817644100, 18218434, 299922091, 818418859, 807981479, 684313025, 1025698272, 474224814, 382047789, 314246634, 529919689, 222529893, 578902008, 815364078, 126216514, 120891103, 998445667, 481790907, 152658966, 843922607, 402079550, 47669815, 560165070, 595532887, 660504000, 850932860, 1036228531, 847572123, 88442475, 67038595, 313842485, 450900309, 289554372, 759407884, 325121505, 321940404, 338506572, 419820910, 420139955, 689206770, 43076872, 787975819, 370261992, 254194299, 762032069, 417212118, 871666093, 888110554, 455290101, 873810692, 872906636, 1013579633, 898229969, 106600493, 1017372334, 408289108, 961878384, 570902111, 653442796, 362017657, 491841668, 314106957, 618709433, 763918455, 283276978, 311424626, 953961965, 850098977, 566372690, 173110005, 178649440, 819656418, 1024639069, 1013686191, 244034347, 112853502, 460058214, 831291398, 797066453, 307125164, 366851562, 945273444, 158310142, 341321297, 555779892, 695817396, 30192206, 183420200, 857941699, 265140479, 458099995, 823038078, 404760383, 964499904, 407207139, 398183232, 157075909, 599626289, 370297044, 962051157, 1020765362, 671930769, 183416414, 760699628, 4603906, 624870033, 412365709, 480704080, 98972095, 587375102, 219890108, 1071415891, 1018872617, 5970210, 922029685, 72924018, 108877463, 850871361, 987432453, 932064163, 986182639, 248090192, 915499019, 506196102, 917308080, 956960876, 483439375, 950076662, 935977850, 146431687, 704950414, 640326504, 323226541, 193167659, 204751557, 252761462, 97627872, 652357276, 1007946053, 357631990, 292914847, 277977652, 753984633, 711618220, 536591927, 286516578, 151819586, 785031168, 174583344, 369520192, 570155430, 444366691, 366314508, 229415812, 651085030, 379539227, 162992769, 522150402, 902535011, 58227914, 468920374, 819471718, 684913394, 627953336, 420200109, 699359301, 361117586, 741085244, 687158630, 20941079, 533039178, 916449152, 532315257, 626481114, 317776252, 103115307, 336310876, 441272964, 185213852, 12268049, 850758914, 51153739, 1027626300, 842823930, 63410663, 55481027, 842527636, 666581734, 577016680, 756222125, 501014286, 447881614, 355823111, 974046664, 920660116, 415973143, 934007716, 598725628, 496377089, 934539626, 55095644, 112603781, 547746725, 255028797, 795415641, 805262037, 717026289, 398118055, 953952753, 661537197, 402855610, 993377160, 62183011, 112564627, 487303838, 611792935, 698813961, 855741879, 508756665, 397787162, 210614966, 628967796, 389511586, 924928334, 253285480, 605209358, 384869779, 992422834, 444062157, 554240808, 798841945, 762891474, 836853542, 482280776, 531021366, 323178476, 864059165, 36721936, 610702879, 150355012, 667245985, 182603015, 73036811, 328814521, 219955936, 851181058, 918561928, 209075722, 671060884, 42293880, 845956278, 911678998, 597838931, 49040122, 315977966, 666110087, 622901151, 644809285, 515392241, 253902132, 837911700, 307188867, 752970589, 25104318, 467230080, 567347544, 211887941, 263982522, 54989118, 114924224, 751856930, 559650876, 68632881, 140258182, 572506380, 309915077, 287159845, 422312986, 168291200, 414891473, 405770097, 714396758, 190208600, 484138255, 583097080, 864351175, 635330727, 699126616, 21027920, 101400900, 520629226, 308686385, 486301869, 430310273, 898173005, 115965113, 82773439, 355704478, 143001043, 445442305, 145606074, 391574871, 449658997, 360604910, 317303744, 462251176, 545306857, 244160155, 869214807, 52936266, 152066900, 97124691, 658489926, 913927753, 159248675, 249658696, 977606541, 41131607, 762365683, 608320749, 883656315, 941185017, 851428885, 368325678, 1038104151, 675507852, 577507008, 124503566, 580123515, 807238064, 957546391, 562795252, 172633203, 284568478, 808864042, 397324468, 19247773, 761203689, 989485986, 188645012, 529169849, 529500705, 915162178, 581160979, 414185262, 915806175, 898762935, 825122242, 466770350, 982038093, 882729329, 121942495, 85841272, 408697601, 432767703, 977481094, 714575401, 946749030, 763835833, 1013198806, 795067761, 967107388, 1003299806, 721532535, 742611422, 337414083, 1023030272, 1009058760, 277400012, 571003798, 977434724, 222994138, 752464573, 665636255, 473446395, 115036526, 463129331, 125844821, 563933097, 326392091, 231671731, 222434929, 199079729, 568117829, 86723330, 703215971, 440347306, 949634299, 536643764, 1060505526, 86541881, 384122785, 214854902, 801805125, 1053588195, 147259160, 1042206368, 893904407, 365275447, 503493710, 274245632, 503590609, 876639846, 93282580, 951175611, 929233746, 595779353, 373999669, 87173319, 794246980, 1065895367, 906477579, 539698330, 233306521, 560528503, 591748988, 393800578, 1068297703, 542780160, 55848438, 47766588, 92176090, 778469116, 850736223, 198337414, 930869146, 713563621, 951561410, 1020424356, 883843184, 462386270, 996950328, 189480927, 141151104, 240147176, 253824342, 500612816, 574536051, 640126507, 1011139409, 408918263, 95606146, 339317098, 72106016, 218524121, 77113932, 378781671, 893359257, 450938498, 31423099, 611058337, 237179689, 359265312, 755821490, 1027295082, 547332789, 309799404, 522609885, 601425707, 156585615, 551620503, 297898459, 242114111, 245435755, 229618212, 193258985, 834997769, 607565497, 960035033, 450545796, 1059801134, 523861154, 569581608, 692678305, 892465832, 316125290, 903735313, 947952928, 337241202, 979898484, 349265919, 767339379, 109449573, 40511271, 351736765, 534958869, 828232369, 1012004168, 170520546, 110671809, 358956126, 262212840, 287045964, 42784789, 747879562, 425579605, 41234092, 707206263, 370702740, 978245247, 493789226, 1032900450, 429172188, 634898580, 720040685, 412312501, 458351880, 564472092, 564392682, 122706248, 663755031, 277257062, 941035986, 483377077, 548778081, 288540251, 539771266, 647599310, 102642018, 162018532, 877988676, 18254311, 587454704, 542420007, 331344120, 64374261, 343786480, 116421782, 370941213, 156577585, 126574271, 335318384, 275404994, 477707597, 526154381, 61380950, 593433644, 944357316, 10707515, 538304607, 705842401, 292098481, 583259489, 479177200, 587234373, 571590995, 48303698, 1019238971, 1071611690, 221242402, 588515524, 1058078736, 744408160, 541649224, 770965789, 233483992, 494164652, 942779744, 42003324, 919051185, 374531134, 781673401, 485431094, 442703245, 991668823, 94365564, 903927111, 463931495, 405290491, 754702447, 94890529, 589729545, 120496359, 444462546, 997404120, 897550446, 518730059, 161247795, 853582900, 550022114, 158752360, 158120719, 354416149, 471555200, 880473316, 924431566, 213299149, 123122738, 465846879, 430941588, 111305403, 410702496, 841045485, 561004588, 417872845, 134276551, 273365860, 778788177, 108564734, 58008528, 795070321, 578264437, 1018059016, 287032278, 988290719, 1018001558, 811034073, 740569805, 410798738, 70764525, 289578009, 425997037, 185624378, 967917213, 83628367, 283713774, 53468883, 634287628, 791379667, 675505880, 127509148, 546431651, 737059811, 491428621, 443757483, 811164960, 308601598, 609507154, 717865632, 586089477, 1052570794, 171712953, 463588969, 189576108, 228091744, 643590306, 17853134, 513134873, 159794293, 228440450, 646454777, 916791262, 311969955, 540970055, 633951531, 34509438, 69501516, 152444550, 613120563, 157051982, 788918009, 482016796, 957732637, 357900351, 885201827, 66497020, 733152268, 192562117, 154952089, 945983791, 451014666, 609099311, 37879198, 436107247, 337967463, 895511483, 298337848, 850256790, 476419280, 444376222, 308020846, 541797033, 124888337, 43843957, 628369829, 404455855, 119915533, 649268350, 369220044, 1014698320, 372257341, 305565510, 655921644, 80055761, 880285435, 238261756, 866221155, 293405858, 227295004, 404736479, 804843159, 157634420, 230504030, 153570886, 486358368, 634278303, 257562938, 600020990, 908131928, 785649811, 852907711, 786386798, 7658022, 122599223, 734129883, 756993134, 512662842, 739359378, 566765586, 463112996, 319197386, 503689125, 688179673, 579731593, 918222705, 687319975, 333287378, 382401984, 163445701, 748128543, 609242075, 607954121, 524222387, 713891158, 61007945, 252855816, 75506906, 1035885890, 662120609, 776631340, 602004875, 399676635, 899473233, 309467420, 107940047, 393789080, 697619679, 1056213286, 464252562, 384170716, 342602321, 147312543, 380261078, 1072140648, 1028970864, 437976428, 517846149, 369205856, 262409914, 18578043, 396289827, 256421715, 957376792, 794249444, 339006046, 753636253, 100732494, 450417461, 99335826, 994087810, 56858043, 978968755, 45100389, 774811766, 796874150, 247478693, 221554912, 695746518, 219146924, 930066364, 808176340, 629693833, 183531672, 384389205, 680817733, 1066879572, 177844805, 422670, 1024245372, 886701349, 721034427, 51322749, 370895170, 419976329, 318340307, 489713316, 789126085, 231662666, 1047113437, 138294314, 949981090, 457804851, 318716084, 233692042, 1063250676, 841704974, 24879940, 495083842, 1027829509, 504551598, 1002040359, 648497354, 19240347, 96790605, 829029976, 781195975, 151639368, 367414100, 747862798, 349076960, 916577079, 1065914447, 461238008, 473456998, 1024669743, 107866216, 625436559, 587346768, 289700954, 1026913092, 714397378, 308259337, 533667927, 616234043, 895773233, 783003613, 534701445, 1020514827, 254052141, 639386539, 29291014, 304037243, 1012918366, 836722751, 149083708, 1048837344, 30066130, 262593807, 488217496, 727890618, 266333014, 695222488, 772962366, 878880958, 979684249, 1050511136, 744232850, 247059671, 859094276, 853032397, 722378896, 199418619, 377512936, 112958012, 668865130, 27316093, 842097071, 322200174, 879586576, 870255811, 765448050, 27160713, 799201671, 672229138, 885168422, 902694156, 177438902, 621806869, 433511688, 407917202, 501602803, 551556561, 497475150, 27819488, 554465178, 489305573, 209471508, 601662614, 181781090, 514837870, 722837518, 619293337, 316346510, 768958935, 481058148, 217209793, 164793633, 912265959, 1047931743, 303087179, 832744779, 454577113, 927201124, 477015778, 494840560, 808232417, 688203126, 91421778, 248217401, 321161626, 538419095, 132253745, 675156075, 393676258, 783423715, 982508531, 837068551, 70645814, 239526859, 470471769, 554918917, 545455337, 963331449, 560127856, 136295288, 19882326, 969782140, 591461006, 648124300, 585514102, 110744325, 278031166, 145976473, 610922828, 820682335, 249828218, 766375990, 493569683, 402977353, 806651545, 813644914, 250416025, 319859418, 277370583, 883721188, 454519902, 91378704, 170957207, 1051463620, 210214633, 436244456, 393544777, 891989085, 480598067, 319895368, 311370651, 152350821, 183966676, 762572897, 30145401, 141888135, 117941527, 659374451, 374611890, 969387479, 206786505, 57593325, 213994121, 582647794, 711903151, 348884507, 728597678, 833880342, 777113034, 647206997, 523334516, 989371549, 680050042, 687150150, 484817918, 449062743, 34971246, 845926233, 925000427, 512118445, 457446439, 506300854, 872262705, 157023531, 672632477, 1059411157, 253758993, 942499508, 902823168, 942625192, 61026597, 1029748104, 599163134, 319948528, 239858756, 977133583, 296129101, 87465960, 759381568, 806498536, 198482135, 475483475, 907695083, 867062340, 160487257, 293609297, 120404475, 629192281, 356186123, 180869719, 688589400, 596847605, 841598177, 734675634, 460745429, 469906340, 203669600, 715922492, 624143310, 896787087, 400258210, 1053266656, 871583166, 175216984, 578970520, 565726431, 231754142, 1018647390, 295809596, 958054854, 982548064, 839316219, 409132803, 844109894, 1048626775, 14214248, 840031098, 581099957, 332461898, 316288477, 588402776, 566683992, 438232232, 162170485, 45573287, 768879961, 328704020, 956276810, 568463110, 1033203706, 563382482, 1045902006, 322919355, 955622143, 997300779, 37494940, 1033376581, 567894421, 962613592, 7221108, 795212309, 1009093794, 440358146, 569553464, 643712984, 349708733, 442870839, 345873673, 1064935983, 371326083, 750886436, 323409961, 297325440, 886649356, 876746361, 272904509, 23431708, 1009823403, 733061256, 118259610, 945843871, 35524923, 933251194, 1013415678, 476414605, 575224220, 985199582, 206463922, 682602155, 358680462, 592690749, 687077961, 873554677, 548037387, 917154608, 58465359, 155155092, 639493822, 207921658, 404450773, 459908529, 208310593, 439229154, 761133553, 392222775, 514462560, 904080338, 645867801, 890160685, 172110118, 187879451, 439213606, 994788168, 576828793, 78989678, 876226031, 300675156, 816522305, 14913827, 929699794, 318559634, 998179268, 819557047, 818498248, 276994026, 261267578, 119338590, 325759427, 12674395, 316495528, 437562219, 1006177380, 377442895, 1055045975, 992321580, 920687317, 1058273447, 823040686, 339574575, 940895888, 315613614, 970048092, 723968997, 359334098, 43464357, 442604282, 858512506, 607794453, 941083944, 85697646, 856114226, 275934880, 895758982, 1040001936, 184271918, 226950942, 576612805, 3142498, 75320052, 397706049, 195672279, 592938953, 175061452, 450213192, 886196516, 680727223, 323867854, 872499559, 63597607, 777406569, 294695266, 787563755, 759649018, 814170242, 636551905, 391421136, 312170729, 326896162, 429806394, 490857966, 578779639, 953643194, 811099353, 142461191, 345758142, 526395936, 759526468, 516979942, 909291917, 778866947, 999929450, 759026857, 923054786, 84641615, 546589381, 338737555, 10066445, 27741771, 159861817, 823412387, 663100425, 760590479, 854137474, 51595576, 90050125, 353235088, 933011127, 976725494, 685593578, 508205662, 386903180, 929344546, 663626647, 422260391, 136581283, 296889827, 691183078, 335322073, 129810918, 135411681, 826705335, 140082770, 1013231521, 899657814, 692927817, 1021429607, 110972584, 264228742, 327064144, 395221096, 301041218, 523860606, 748168243, 121765084, 185018715, 34726888, 90299271, 31922073, 583448008, 378124712, 17850124, 566107700, 400194498, 759637489, 35972492, 36854053, 662649260, 1041283430, 178733449, 143595269, 477386243, 61801513, 923542492, 700935813, 1046722332, 626532176, 28364406, 699061558, 366784297, 7333924, 82416884, 1032156555, 12173785, 934816082, 871712510, 720783828, 803857243, 879713706, 1008157076, 3060716, 602306636, 1008331611, 180959149, 494026253, 299010724, 694408644, 67300881, 738549809, 378458501, 539441127, 963489782, 925922976, 509158427, 119587694, 180522351, 641352385, 142931104, 475268551, 270205879, 441610022, 314627184, 596359092, 681470514, 93816266, 646322496, 135344459, 396744689, 401710071, 258691233, 183759512, 761418443, 576343728, 150765563, 694069980, 467489312, 751553545, 524770076, 967727923, 57704905, 769694452, 881427598, 495000672, 56293926, 121423478, 238999197, 1039003671, 432162293, 74426224, 946907286, 334578069, 1065410727, 681039413, 226261753, 546048774, 446918675, 743648805, 39147955, 696796415, 540137790, 449560223, 475252926, 8339080, 301330881, 481699757, 754513907, 342521555, 742093204, 583772208, 851469673, 676732017, 995194513, 829894301, 673765851, 645801909, 715397762, 948315028, 845944363, 502081986, 431157390, 706271206, 440735733, 107423824, 271671471, 984658279, 869134223, 660296371, 1025951250, 696593819, 958958493, 790776089, 181421502, 292436584, 902069976, 717657998, 310548866, 838507382, 929145037, 465836853, 207743618, 711765667, 266266127, 103997892, 270885406, 308045671, 493540884, 440532296, 803064826, 570382826, 270658742, 558228968, 45548946, 952603224, 828032859, 534053362, 381660821, 883163224, 449456974, 768533444, 1013152678, 672120992, 973852375, 169225305, 945671175, 79919971, 493820386, 719016963, 457473235, 1009026558, 966317933, 681933903, 873727426, 460067203, 985768594, 1031794662, 589015195, 553027540, 278300242, 790710939, 901778081, 417366020, 270051654, 177280208, 180730327, 318071527, 442392163, 71427426, 536308685, 541549043, 911624458, 496745311, 67989838, 1015072485, 696394041, 387830430, 525553323, 816028264, 650040714, 61670658, 64822559, 634003859, 692583523, 421468645, 205528006, 394310977, 760516116, 342750557, 775806374, 814861647, 822368855, 36487799, 162174602, 465624236, 135192912, 562791069, 428264345, 241242696, 393061052, 1071762294, 987318046, 868005680, 388386146, 362479303, 178187742, 565477282, 1058127986, 418322913, 917959608, 676541553, 555934770, 552700091, 192477966, 713729964, 430691788, 937333268, 1044960176, 657591206, 631864191, 587437397, 125632682, 1026488277, 834066339, 1020587296, 958091836, 783017268, 1027419964, 341977198, 910527353, 1073443900, 241405591, 129087496, 67295064, 1036209467, 261919081, 1059945326, 291299608, 981092149, 795004235, 984493883, 977857084, 181841677, 77672711, 873631415, 832781911, 788381286, 303903413, 372366184, 860500906, 763193613, 827759786, 949673185, 672120755, 113799904, 566006712, 923040907, 832641347, 517972924, 517852802, 269332894, 330151633, 683374409, 827823618, 200306505, 846322664, 746538835, 8381179, 351618643, 801850267, 356943365, 122407755, 383280055, 533220349, 1020967423, 415025642, 76242540, 465109268, 59848062, 279641223, 145815430, 466282707, 296323547, 362770334, 131953213, 951852778, 908268306, 467881112, 930131847, 845128558, 306476243, 293093551, 713927824, 808362867, 803153325, 224947244, 98646809, 15968088, 1032364255, 189920741, 732469780, 679171403, 421083021, 221966645, 344494683, 239387607, 687529453, 484386569, 965629752, 3162130, 224468360, 484627992, 662409363, 1068671428, 704511501, 780017376, 12773491, 772661978, 650521448, 990637983, 930350246, 983022861, 412313023, 433447170, 125990873, 1047830174, 715343327, 204459605, 189804118, 769952952, 1023171125, 439582929, 322414838, 332561501, 418785550, 675733695, 214711863, 205156354, 803437252, 55957434, 954188679, 459913635, 1046766155, 745090540, 464030696, 322019062, 853170744, 726549661, 303901085, 366536423, 452454396, 499772069, 28361546, 677346274, 866591431, 1012047980, 460864808, 969283726, 1019274248, 371374699, 56785394, 1073497722, 862274099, 1014864456, 841064085, 56030267, 928801664, 499854341, 774979865, 302386463, 880056217, 681668005, 274044460, 230699736, 308864383, 928901368, 820779976, 712131912, 1040909114, 215935719, 921856244, 756133741, 908462816, 18517792, 405839787, 300162359, 137321110, 201708976, 149357340, 75640982, 768257721, 138446323, 397448602, 646239485, 873677379, 655383900, 698378175, 451214819, 756655533, 722421919, 740633619, 794253011, 847640580, 722699654, 1022734819, 256909992, 743122028, 450158725, 836804247, 737968209, 1006032721, 862872594, 744645634, 284874936, 326947344, 469802026, 777877353, 249195881, 317816934, 141471034, 1048753175, 596494311, 1041968662, 205376812, 151704130, 424976236, 320054708, 791669394, 390436444, 720249148, 863475816, 353279564, 274420501, 929373811, 970626937, 1069263587, 432214836, 342745452, 681652590, 82090093, 262375423, 239935203, 367715996, 361838250, 277204493, 338608552, 220565686, 1046471131, 539442923, 11560077, 644651924, 485800883, 695909509, 717527723, 901260441, 561038583, 209114670, 272899147, 609523016, 341693261, 895572471, 878005144, 110484231, 48343309, 736956715, 354372485, 588489011, 573350654, 143273443, 179357806, 974649063, 193061266, 368197793, 699553099, 657384663, 596619685, 752334302, 235962469, 360973904, 749611423, 378540821, 160184267, 593573299, 666136442, 920158905, 863696223, 224345611, 1022184668, 978564663, 13971505, 140995300, 306417126, 766349107, 710862016, 129852862, 998719553, 1012437718, 876632195, 927317760, 228695735, 738455641, 570494670, 988109621, 761762083, 1070224000, 262221477, 445777867, 178385037, 232449914, 604607144, 896895028, 469677880, 691422576, 455861841, 267096110, 277409278, 968535282, 120268914, 661958401, 857904894, 1019155296, 139102795, 769183851, 741659817, 51518557, 1064451865, 263195692, 561817266, 1015218090, 258329746, 903514410, 1036591153, 302702109, 452392378, 493060863, 267709815, 928911363, 321704348, 115326430, 185496044, 456894137, 162967484, 849912535, 914509819, 971422239, 478041002, 200319520, 837596912, 884154361, 119268744, 923099574, 834929086, 296776260, 201705624, 424604083, 880897385, 420773666, 943226338, 268795770, 796071927, 243863780, 236725916, 1039523041, 1069209664, 671354642, 230552237, 547527523, 278374988, 990487027, 80686861, 604050888, 164576206, 75438455, 305082150, 345904887, 277990277, 677544148, 493332647, 457206055, 1019638077, 918776495, 32657595, 954502737, 490174138, 774690486, 813695941, 160702130, 815787195, 1053566872, 825348092, 669778483, 130498840, 979968309, 108344191, 883074740, 110197164, 829861835, 643884092, 1020111239, 598175372, 291921145, 170767685, 588782958, 154754090, 437025760, 84381522, 314145155, 29992575, 808973370, 694374913, 373583481, 863469799, 1056320792, 793879549, 70424912, 1039073275, 90295977, 562365312, 828829870, 72729041, 624276237, 235326584, 45268969, 103334138, 944768477, 204631736, 270641258, 742548112, 718811985, 492221561, 1058754901, 167457542, 1072452339, 24262764, 934697930, 140219357, 221409635, 664814847, 887752538, 82028053, 514966133, 927306877, 560088081, 897475936, 3616076, 144158459, 1037729041, 633950290, 742278929, 1011933204, 606081416, 334624736, 961217606, 956928370, 1049804762, 383276882, 102560628, 1059025721, 519587014, 960232804, 622398848, 973700634, 1023416363, 4181606, 838709985, 568196697, 536169427, 983457364, 926094305, 564793505, 125938921, 162002601, 55430504, 176993600, 315437483, 772358973, 692355484, 931184599, 733226974, 221173304, 921933785, 929008574, 316760537, 1020014799, 205607604, 442803599, 461432822, 394884809, 269691918, 1035115955, 78437445, 374750442, 139834474, 111650355, 698994393, 447509825, 224169482, 297039639, 172265513, 617456868, 367849902, 549864571, 653061434, 619474026, 517617198, 189213152, 768441400, 684657735, 741708892, 647817538, 459989372, 467143410, 821283866, 520941207, 259118867, 126266006, 353650141, 738627617, 374898776, 853360880, 253445836, 756267006, 77088083, 489705499, 758870878, 598641334, 196535379, 15861002, 980354276, 988523208, 652211998, 145861391, 774208275, 348047227, 781821885, 74900030, 489735375, 788483218, 860274913, 1073654774, 267894959, 728446008, 331716357, 162503438, 48569760, 638164032, 112387051, 616437197, 324131345, 897027010, 1069876806, 1028856679, 209060667, 126364070, 919772534, 1063541234, 951356216, 133193592, 613162432, 304238464, 456433396, 853268596, 288125714, 403970959, 509314496, 132479983, 144669452, 4016379, 620222425, 299594503, 971343224, 533404831, 61028684, 26443034, 1018903380, 967320018, 891442008, 943117822, 747143312, 850231676, 943904648, 205130615, 671942979, 400318453, 840917391, 150753854, 366045103, 696060381, 809373314, 438263004, 440602389, 837006185, 771025222, 62005994, 604923782, 918693307, 101582871, 22057160, 919753007, 282998970, 396918211, 615632916, 48028195, 23199855, 813616753, 73912329, 848781194, 40379846, 416912130, 157276206, 728709005, 237628175, 738692045, 678047265, 352997072, 550356057, 467092226, 877856210, 932747149, 1013529511, 156736343, 659971509, 365743261, 1040242088, 444851200, 303811223, 796309037, 1029496866, 638354768, 11025014, 280991261, 658572601, 975357535, 678435566, 1011131513, 780133886, 932314, 339976147, 1020090430, 287329887, 254293768, 1034556236, 444936041, 410515353, 782395038, 183745168, 985949797, 928309276, 420161535, 1002932273, 382684839, 738991308, 907523832, 79132052, 748716214, 97491388, 266228849, 912699029, 894524944, 172863223, 463266609, 651326878, 1025749391, 690736060, 117112, 1060670634, 498120606, 345449355, 982578474, 953487296, 385007822, 136364544, 958130659, 1023092726, 837774795, 891463111, 361634727, 164533407, 910976388, 113207490, 808119048, 669378787, 397850906, 840337144, 831249323, 970525722, 361845883, 821526430, 338548553, 593410194, 217462773, 297624658, 126377823, 88244929, 100366844, 514694491, 837703682, 54146858, 1014936080, 534065311, 606990309, 652852533, 363534375, 1068686741, 481191565, 221390579, 762735320, 220674511, 852597726, 362954429, 842118957, 926443186, 872200832, 835642005, 308324270, 464453091, 844492479, 936423602, 372264039, 69532097, 454806391, 279916465, 532831266, 823540591, 634011174, 1067250918, 621059002, 879647788, 625987350, 475310491, 74806512, 952658201, 224511426, 670132613, 100211042, 662198969, 427328466, 485841512, 105500125, 60645475, 961123909, 1013332501, 440560724, 1072032357, 997101271, 921447799, 17772033, 292706674, 704697343, 70793816, 945589971, 789032786, 1072277460, 603815817, 54405522, 1066139265, 458677974, 331632297, 937553077, 499611968, 139473903, 606233543, 705036076, 1038673320, 504596488, 798333593, 785119363, 837209509, 719224953, 737603040, 260460300, 310640794, 27439133, 1065024212, 987304715, 43852182, 833508410, 197269852, 833175183, 848625933, 8996868, 194928522, 91114439, 534142283, 981661489, 874877799, 910766428, 291667963, 605726768, 423626249, 773709352, 105604361, 361463984, 359182997, 317224081, 907623807, 864246247, 381615721, 180301216, 991215803, 272999155, 867832784, 127633101, 71284676, 970127901, 242703904, 374789772, 78622237, 975603929, 166635032, 358563192, 807779887, 288697534, 667850772, 78255649, 224947766, 10215692, 303878079, 102921221, 1065120241, 421680372, 835408814, 402987392, 432567810, 1060882019, 500066971, 1037483844, 329834052, 1959231, 1041602828, 279061161, 794009642, 157570089, 16491065, 696134311, 894384139, 66864793, 484062194, 326061408, 985828498, 478193034, 139041116, 981534521, 510116137, 802724100, 202681215, 986317050, 1016110631, 175502750, 850899334, 564055393, 872475395, 639034122, 1019285124, 561632212, 586969150, 563993111, 756403587, 130946280, 767322227, 886332629, 666966948, 835675584, 41399852, 953873167, 453695820, 1025386495, 763203718, 414370435, 20651530, 871011445, 156864938, 523629843, 669322839, 924507897, 369670509, 317491452, 312678527, 617085935, 520106574, 1023951105, 635138089, 340597900, 712102632, 477945394, 1014800028, 845739733, 30696024, 452389636, 39435575, 321033196, 104138668, 66128260, 592299057, 119603514, 601911523, 668640351, 313228247, 763524209, 557421200, 303437981, 1002537365, 151734715, 940265897, 177734093, 705681335, 10708482, 686335131, 197280562, 284937948, 342877862, 255354366, 970061821, 608491962, 263320199, 998548195, 936710374, 985834400, 939098410, 243070270, 399718136, 492418865, 563098597, 158523420, 747707372, 11798219, 548827017, 798786442, 107324290, 208656363, 909615059, 1064962424, 213703809, 653620355, 2833539, 742388383, 811879546, 710950396, 490227649, 20577522, 201066991, 869179090, 188624166, 558880748, 529771307, 1033521601, 255456050, 59052681, 1021235051, 138688055, 760207602, 66120724, 946123662, 600125765, 68936007, 1031741104, 884833730, 1059687963, 68970251, 78634446, 733157816, 41219505, 807994169, 251758120, 418609550, 651675717, 235180392, 44451875, 780515389, 199744820, 939396000, 462767341, 203574033, 389945831, 62655704, 147555243, 921014506, 738958339, 617173481, 831517562, 35694505, 823828193, 485901473, 739054910, 509720211, 773889615, 490092257, 457527149, 539953181, 98505236, 717200375, 970636634, 1046492288, 536579642, 266749923, 954763806, 48565905, 271443804, 921707493, 1073492018, 855882222, 511767911, 953087836, 197755400, 1060828082, 1050638277, 873923200, 128036524, 775419145, 679568481, 425468073, 764179337, 355239653, 902243325, 631398983, 995835617, 433311740, 102877375, 260565488, 681320499, 429744260, 1045920147, 906305997, 300456201, 382942473, 554686689, 648185693, 38052557, 1032274453, 512923397, 249333017, 444310801, 1029295232, 246339065, 831819024, 339507739, 821667898, 749765110, 407929771, 52632757, 953354021, 324563389, 864386677, 836586814, 522979671, 1066221770, 942548118, 317346163, 504153188, 882937021, 1012673838, 851890466, 154067378, 1036438343, 16187268, 246909931, 273523734, 984629152, 743322031, 815409437, 79061606, 467874897, 2169818, 650767954, 682692198, 493499161, 882770017, 1007373277, 700010214, 313568960, 974023867, 1069952537, 739377540, 498570746, 2800100, 251280424, 29634579, 525518282, 41608358, 456934581, 1048104762, 342259677, 519102043, 541465832, 549267972, 629673267, 182594007, 923745918, 775687645, 943420069, 186841671, 105729979, 205948762, 622952849, 816874659, 538430207, 842807354, 366792601, 570735071, 980223668, 600474364, 820644737, 340677137, 871879389, 93943731, 512262520, 715640272, 680855194, 832344716, 591173893, 999529301, 296838600, 32251023, 776746480, 483899459, 1038003285, 581681559, 191482865, 92001882, 709071461, 784386900, 41148679, 156704064, 679849822, 678189445, 837394776, 208892375, 716719145, 739382733, 510131853, 362285345, 487381655, 829112565, 456986255, 887585887, 909096590, 1018547680, 988655528, 361022141, 626594885, 942264124, 739185147, 254312482, 847344152, 405889245, 937277293, 636737046, 23636097, 437208131, 444089073, 45099399, 736721536, 706859888, 834532335, 829995165, 931231862, 582705148, 36381689, 140556573, 580366905, 516695759, 487088584, 55921217, 963845792, 883064307, 904221838, 457786259, 372094564, 428395712, 420844039, 683297244, 423705682, 749777890, 903148052, 775735508, 56787808, 378853623, 603072738, 716170424, 955343644, 433360636, 696538952, 12728606, 255753281, 744665399, 710370337, 1024031775, 49079608, 925588146, 109435064, 1064888510, 511466919, 788737491, 393955218, 592900068, 72674933, 336758981, 272379042, 178412131, 812084329, 951738997, 581030890, 659520390, 355453063, 649206165, 369762300, 598724698, 455897033, 624332410, 538277718, 127613153, 803858806, 675588470, 953998581, 976924467, 189850954, 881945055, 174357160, 969971655, 390636615, 127975357, 789129893, 225251077, 367398334, 177484034, 521267952, 612527439, 450458745, 1047242305, 912040391, 582085841, 306822192, 229225121, 956341692, 875037949, 1035780312, 910502947, 644749170, 870258088, 406604473, 40248144, 603632590, 172082672, 873664461, 338721255, 12230350, 214634168, 572639097, 82558491, 776423267, 76890550, 966643596, 159555994, 129459840, 15956216, 751219668, 907678931, 20285218, 139049747, 493424799, 801169005, 539055565, 207044954, 189064192, 667603488, 957880679, 170870246, 1019141314, 1023212544, 930723824, 5815029, 326826261, 15671610, 714277820, 930572319, 204749705, 273654186, 547848252, 20200876, 238194663, 694295014, 116529537, 125771796, 233964418, 800537438, 928653367, 814236509, 862182320, 987571975, 782708100, 663210479, 374067171, 648323190, 11172257, 608595984, 984125242, 545396354, 14013325, 202373665, 992004975, 936395849, 796747944, 782676440, 1050549233, 592067165, 94312287, 59722598, 665025152, 861410571, 645151465, 613511120, 937118252, 121198852, 1068983620, 284938012, 621344605, 131616651, 61586932, 774460479, 382042653, 737005844, 495664658, 871357555, 1047670573, 742352891, 405302470, 186721806, 664463261, 273926195, 264743922, 597038325, 427367134, 327845080, 11605576, 368458778, 769065515, 323106248, 393674308, 265554491, 949407775, 578743246, 563350580, 289818558, 603676941, 291770654, 198961391, 348260331, 289687789, 518662020, 589390544, 371907181, 303150593, 1053954603, 112901157, 170083766, 800519490, 505193787, 805284825, 743592253, 278462760, 255825883, 467561914, 872174014, 812677306, 5115814, 1005552434, 308763027, 796572973, 414499620, 603109649, 454951351, 706755068, 951313971, 12404331, 483123558, 178832069, 955005013, 23178575, 379243127, 698862466, 570153259, 938369808, 818646293, 874624425, 437707029, 410139766, 430240596, 438049562, 758247381, 514445026, 699923824, 583968195, 847700301, 313451152, 146395721, 123691933, 140976214, 82619014, 335587054, 327764532, 432449514, 192526828, 115871430, 116274553, 114081905, 173429739, 990196484, 192603593, 602488119, 702253304, 140155151, 176031232, 209507454, 326607302, 848642457, 637670659, 37226790, 375411162, 819644522, 261867866, 578457285, 225534154, 932680529, 91948169, 819151131, 384270330, 909747065, 746064177, 283331762, 62342955, 482176791, 950326637, 798489269, 913013944, 245930548, 412448212, 380610479, 33306922, 909291916, 353672774, 499904294, 171080434, 424551603, 198288816, 403814803, 159913620, 935382609, 264321958, 114094577, 925671156, 811365501, 30161000, 441796911, 149353939, 488139807, 60706927, 10104619, 69950233, 521216658, 63845096, 313120658, 440157423, 126357722, 992683881, 841689580, 700927003, 253895509, 718918070, 24941292, 303071127, 975618370, 608322693, 449276784, 358321334, 359066068, 1000479405, 253132782, 201697655, 108915447, 654816404, 308157914, 414225223, 601434038, 788569441, 90540001, 118400662, 689774622, 982459313, 603577105, 90517916, 389306346, 253661475, 132109520, 79142034, 841207246, 218870364, 680940093, 721515647, 392296371, 357664007, 778434052, 478787413, 678606241, 800237291, 1028713572, 873733351, 920901155, 144107815, 582744134, 998403149, 166652426, 1070513849, 366676239, 709936392, 1068825279, 767001524, 496501346, 512661217, 1023729517, 540860027, 640833085, 334021390, 61267633, 47371718, 105111306, 387836740, 236118146, 91105590, 478073647, 735615366, 846751959, 658096599, 633049100, 535663705, 490182747, 299910207, 501662763, 96417419, 297603399, 187831035, 761012544, 827985034, 213122938, 602149413, 379378229, 575162942, 155111203, 271568162, 585347871, 737510953, 1050289633, 80579616, 318851515, 810520361, 511543385, 641606810, 333617264, 97968841, 467688709, 1071335494, 694979159, 198356243, 416905582, 914223964, 606444317, 332604990, 829986561, 515894999, 786562075, 342073727, 854518620, 319585217, 934983849, 698238499, 925628634, 84276215, 609116174, 967911462, 40319781, 930211057, 221657955, 221451735, 1072639504, 736590066, 438431206, 1055930621, 766279369, 329750622, 755300226, 629583479, 412234197, 701020129, 586336056, 466028892, 630731689, 272895397, 990935685, 275552316, 366335639, 372112566, 929156824, 662543776, 668466708, 1025333186, 449247452, 619875188, 889915819, 95578916, 464039775, 547422774, 640271471, 104866674, 386090558, 221071655, 93175387, 641720127, 699580917, 963592700, 696503059, 887655750, 879369384, 933868447, 891729917, 311937415, 33302721, 896930038, 213561967, 462888645, 322369418, 945110065, 737595404, 57790446, 842854216, 531524775, 344256920, 1048219063, 651750365, 750075200, 530752468, 384506297, 683462733, 573177868, 110036383, 852669168, 516691154, 897474704, 129757585, 1013690980, 491465860, 396723483, 692104854, 501352487, 866336942, 522604854, 850652310, 599993712, 537451124, 529507583, 915692874, 749753768, 391033763, 96625300, 1035002893, 125613152, 443466303, 860856392, 671835180, 694846648, 259444947, 783633436, 190809034, 613743089, 689388477, 233301572, 540381500, 727358205, 273394445, 604155041, 929846886, 234441914, 334048181, 714626193, 240428723, 310041120, 173431004, 146555461, 1070546285, 247526421, 430644905, 491076029, 1020948809, 362042966, 602446472, 331544031, 569453688, 871120029, 217170988, 552665108, 1069125676, 386746176, 611996424, 909617038, 345888669, 263459945, 716605066, 641050922, 423204157, 1068399986, 514299921, 513912346, 1058985766, 1050068277, 815320541, 1033159642, 366413683, 478429795, 834861577, 847563894, 822977505, 80948149, 687551081, 842034942, 943221838, 15868871, 753945396, 121467437, 730637822, 848181062, 225967887, 101353606, 779914793, 193315545, 43052435, 349851333, 1032453142, 442707252, 33819395, 345373346, 606001534, 214807296, 980650492, 882122992, 291094433, 1006614080, 295249140, 373055237, 670317113, 587673006, 391503952, 376697106, 825090069, 582153971, 708628973, 769666028, 321777861, 638877400, 879583689, 847688952, 778454153, 559644032, 509266639, 605441793, 386834723, 350581853, 229225140, 305519219, 831498902, 801844204, 418913006, 1024288296, 999757059, 888140316, 154228275, 391532231, 616384493, 404461594, 991986121, 638999077, 73602144, 365752859, 685937756, 726785519, 652630592, 44470557, 222767704, 477671769, 230667106, 676305032, 1049859242, 873598393, 222278543, 780899508, 26603238, 64394940, 868121637, 647023163, 216670849, 12033421, 510524492, 779460882, 67429790, 779066151, 903084547, 203629241, 736648207, 955129900, 616949875, 517378640, 408903609, 292986200, 536340846, 710721763, 1019622712, 277810346, 189165478, 379996702, 767863272, 527252051, 105221129, 721564616, 303440583, 855034182, 690193276, 983808054, 492766056, 804338051, 974311892, 214276127, 610034689, 830455779, 66342835, 76829454, 929303078, 681826504, 21344940, 753277916, 177011323, 498402224, 163481609, 492967462, 799265650, 227020217, 271697981, 936244691, 787071622, 566618988, 632492944, 502206977, 1068254038, 839613378, 670034169, 708106046, 527866894, 844502352, 638499988, 284174807, 1026153167, 1045324969, 67292867, 544209004, 1035908004, 991380069, 968547742, 318306165, 108497957, 17527245, 1046599251, 87770324, 722368852, 381699806, 740385096, 212202597, 22694142, 933153112, 414702515, 478938549, 439822356, 305944609, 346559872, 119216635, 977175698, 995907103, 326330408, 232291752, 640608735, 183633808, 724826730, 96715150, 440109829, 270770684, 323178018, 906281174, 674271957, 440574682, 595513861, 330111319, 888824660, 674240204, 1010346902, 113918156, 18333021, 661362208, 1002020021, 571365187, 880637181, 409017607, 273005479, 83424093, 62738795, 556468623, 37680966, 871407684, 912497166, 134011757, 819260314, 23746261, 167299772, 664995801, 736672131, 825692120, 826253476, 891894632, 42740278, 518030321, 120002282, 43597321, 992189275, 849937783, 895999133, 429589543, 842594592, 726006725, 683513449, 372711457, 428540306, 166684410, 1070725296, 743883847, 86553995, 968363213, 71621513, 884562132, 960339117, 682774244, 867928431, 134832782, 385607357, 746131925, 417184021, 415082293, 21101431, 132223545, 1071545713, 46272477, 1006886513, 30254369, 313701410, 359755917, 506042272, 200043405, 260055328, 82858987, 397273447, 629033521, 443299568, 1028833947, 117347014, 796302865, 287603876, 885907915, 260579056, 549150682, 552951325, 1008203315, 330972506, 390620024, 607801438, 20713881, 964400185, 129512797, 89264525, 627452019, 621641551, 812535170, 474229023, 1068145563, 75015003, 221537251, 1000879919, 638158146, 279376960, 840422818, 46273409, 397954277, 1059868602, 440517320, 1063688092, 149674097, 497883545, 506889284, 496907004, 378062997, 478388408, 269029692, 791997960, 1045274538, 654911775, 452263173, 745301347, 309972185, 248903250, 356103883, 444958819, 744107837, 683485126, 240613330, 836954703, 840903097, 338389074, 55284488, 440899151, 848700677, 281395894, 313229461, 771771502, 738273258, 5339651, 291319819, 134676219, 1072577570, 287556819, 214671423, 626380386, 1048377367, 800142322, 577544447, 675315417, 184690804, 717315516, 227950335, 930926149, 29330576, 448315749, 697370584, 948251743, 582190389, 22110991, 158175446, 231422091, 262628683, 902269981, 229101118, 684003367, 207089540, 264855502, 234033235, 43817300, 7079744, 528684436, 214049406, 924232187, 215739736, 843394004, 154650737, 764372601, 439179860, 648941680, 613663630, 573277287, 356868499, 918006362, 330588041, 293191609, 1030510396, 704273887, 6910518, 618528070, 1062997971, 67278697, 977368749, 955945430, 428919991, 468421636, 202675969, 803646207, 1018023981, 447852097, 291793992, 753275694, 416426103, 551039455, 208313672, 589614621, 251429750, 51223623, 177174059, 119849159, 287472791, 664263906, 329378452, 166351503, 266515863, 166829895, 898869008, 987953212, 269818547, 291438058, 576488493, 1068910167, 227247767, 1034712807, 665057801, 472296470, 1028911655, 817578666, 857814053, 1028356166, 604185768, 241725514, 326168038, 107812896, 315922783, 508782681, 1003475888, 866573209, 417464853, 952575998, 279727662, 274416929, 123823110, 194415352, 168941585, 188930366, 68731385, 654399236, 137457722, 186908967, 733969422, 323995471, 180186061, 287516212, 796596876, 804731800, 533617375, 179125370, 77726060, 382300332, 72158775, 539383578, 554949176, 989035295, 144166534, 97012645, 250401431, 809046133, 974269122, 561938330, 32684366, 816170719, 384143562, 749110322, 770610484, 883148665, 683936162, 900536280, 921329014, 618790189, 223712563, 445095217, 988595240, 761154124, 748559483, 931459469, 440754462, 908626907, 815537505, 1037581605, 147696223, 103409660, 110356816, 123447593, 691979898, 602876242, 399344557, 919265422, 779065860, 574199962, 77925391, 694005725, 538618311, 871554036, 866987084, 409040781, 802626478, 1054384063, 1044198701, 500219792, 208906868, 852931302, 854340280, 484163117, 813184906, 903428743, 234847731, 506335689, 586897624, 440248978, 145658408, 454160559, 92668190, 601472967, 433764781, 544350531, 321697654, 715028970, 944371142, 611805249, 652182478, 876158688, 232962016, 715992234, 214224754, 409942481, 1070714321, 534442383, 296503129, 604373931, 126904147, 342984660, 696518635, 489327912, 249967921, 772369668, 815269033, 804358776, 76884976, 993926341, 741415554, 981545739, 213505352, 298355773, 773839703, 351824376, 851325617, 65281995, 1001391513, 575870368, 975278668, 696411954, 790921447, 384927374, 703896168, 202817130, 529040442, 312660396, 89479560, 1012685485, 733612563, 58355786, 1004835614, 41994512, 464681213, 530833156, 988338225, 606920079, 459525546, 114969792, 397199608, 771426673, 770377820, 133808804, 1048448597, 934359654, 614646651, 704140271, 1066384084, 961192929, 600163963, 199324000, 96035180, 304129165, 1035212975, 906411473, 161253321, 548245155, 854284244, 483321609, 485583068, 422892220, 51445242, 515022730, 913408258, 405422338, 948621970, 1022770315, 107380248, 253673465, 438680498, 677253331, 676259439, 58196664, 1022362835, 476691252, 715448162, 243210866, 546077466, 14231839, 1069453730, 206276504, 284074329, 161499853, 842322183, 376253607, 207479841, 398982101, 300985521, 438188308, 579781563, 761594488, 991474115, 996933332, 196264297, 659077989, 664977276, 5491233, 1026456326, 125520391, 880930888, 160172038, 562324228, 691261990, 255615073, 1098989, 37485141, 655855057, 601601087, 887785385, 622265547, 597420200, 206249258, 816667347, 633975450, 156204175, 1073480185, 438317929, 21957255, 842595383, 547912799, 318732351, 646821305, 698950345, 510212490, 458958495, 50390671, 305032091, 608746410, 591418008, 492245532, 838379178, 1033018707, 193558550, 917615576, 627262946, 685538147, 572883739, 939733893, 930277674, 593257424, 344627826, 147675719, 687182829, 308602576, 337617983, 1069029965, 728251901, 568476061, 1005407600, 158237805, 909310684, 498788142, 475488672, 814501513, 591017299, 817531759, 120675226, 227365994, 523237654, 370264870, 945771972, 769827303, 223311064, 130353672, 790570458, 51964615, 13204649, 516732051, 549870694, 594824457, 614875987, 169513766, 893116355, 111610195, 35527011, 269816924, 823629871, 266317585, 707789153, 222394176, 1019808588, 817131571, 446183589, 151375443, 888938169, 382250043, 268488200, 693105329, 593019193, 493308924, 527379570, 371900060, 912469670, 884367687, 952523933, 922010899, 165864206, 944056403, 699717517, 392679998, 22866129, 271063706, 947643646, 1017712296, 51794061, 917858861, 716182342, 765529196, 475673784, 212980861, 51066434, 823238365, 700277830, 1002546877, 80020713, 183759439, 378980364, 120424432, 752234678, 331654418, 579614593, 867386137, 1018364833, 209227968, 140774108, 242398604, 473935074, 616547760, 260995020, 415363757, 733512959, 383962956, 709938460, 961489461, 776331124, 523087817, 573503875, 818886559, 208562156, 1017724324, 501543676, 471129959, 883901275, 845575856, 375694605, 923830277, 402468630, 536916796, 1013142111, 110427252, 336560884, 451407572, 915981824, 1004915887, 590944366, 204696884, 1069569841, 408993094, 368448528, 319915283, 531076555, 352705779, 834954821, 273322326, 814009962, 162520255, 692047230, 975436622, 369276227, 493880360, 434483217, 113511467, 250001020, 473091073, 12124110, 1004636216, 261469298, 251053433, 249196862, 232925881, 808903769, 936613305, 554817332, 422779572, 86117552, 604291917, 1037876977, 205930396, 539720833, 897381991, 645598618, 558868259, 12895094, 257372270, 510110291, 344569907, 474686075, 769644323, 212681755, 7029170, 850102884, 206784404, 779969487, 271224684, 530677319, 266437531, 1010191586, 96125566, 858529691, 895720147, 786222007, 954138968, 264106319, 779661018, 5073801, 652037860, 32601047, 868113013, 255042061, 849592119, 169179806, 163911013, 896440735, 588766943, 801313978, 1016482887, 772219819, 85360440, 458650597, 134462107, 127721860, 665407371, 508232692, 41279688, 892148342, 751286202, 319806922, 621256432, 401441937, 752146364, 411073338, 974031563, 72102765, 228205245, 772719448, 214550054, 542538744, 764786464, 873066656, 587200104, 520287868, 904235770, 962556953, 209854016, 271509067, 98935052, 738823612, 557459751, 254580632, 989685110, 79090811, 601492253, 516879676, 341438567, 896776209, 319255407, 508390680, 836269274, 1017918416, 311994546, 114196019, 65784328, 900801068, 928078319, 71681868, 879508127, 962312184, 511952463, 725563485, 611952742, 77884638, 31603624, 360184840, 1054568398, 36410932, 991002855, 757936247, 893648094, 1059919962, 700103100, 179305430, 454684554, 827497088, 989841869, 890521868, 423525908, 333057220, 635197018, 776470131, 721481204, 752792436, 889818976, 569215091, 66027977, 652471998, 170430292, 537066095, 672811457, 396083374, 877155636, 30203216, 158297975, 179752120, 393684006, 724496366, 739389850, 273297924, 333521555, 585024812, 979613144, 212617990, 407086138, 62775484, 891445392, 390340491, 65869383, 363054043, 407095376, 566976090, 299825919, 776711146, 332893945, 267234345, 451749780, 1067574916, 445650434, 166063511, 1034311704, 106370168, 161509816, 28874979, 264104385, 1038094167, 376879934, 566836156, 262282529, 938325201, 619991817, 329801467, 979823232, 84375679, 335833785, 492857769, 1009158984, 425239507, 807276635, 892220562, 870362153, 422214851, 223786028, 590692566, 380202314, 367748550, 344517089, 406788926, 42069683, 635070910, 926722796, 25132638, 543882112, 541190394, 401090729, 543896819, 583668099, 300222178, 944297294, 331809548, 92481993, 572848369, 177075327, 1062404018, 218051158, 751702699, 379394940, 478625840, 42042867, 144617481, 762913063, 852180563, 881524850, 691295446, 392644808, 577583313, 532342728, 716283062, 833507716, 858027566, 63957760, 623159664, 998970887, 825110109, 952975114, 821723558, 129905081, 506281555, 994434580, 916382273, 289763971, 585479282, 1047389287, 862582943, 903929065, 1068700635, 891114938, 379984062, 185018641, 275493909, 119417777, 415642639, 218985212, 394749062, 393542510, 324242890, 828986248, 906685737, 776806212, 842264149, 154466459, 983736763, 472639592, 411563660, 365279282, 472743709, 816046010, 737286733, 676465745, 381176525, 702108821, 1057323399, 185395690, 1573744, 195986400, 41905722, 485316652, 700281695, 231719261, 945290036, 855010662, 975920020, 651343820, 307289124, 733395326, 92891608, 11440855, 559795783, 530061722, 627984476, 734898622, 157500064, 91184903, 883897962, 533261069, 501770786, 759694332, 630329723, 77363011, 147470442, 658746575, 269402287, 97207951, 80988572, 489330214, 649592426, 974843903, 147692850, 658754789, 269068182, 556210398, 554847030, 286983384, 48424576, 310312799, 843546831, 70679561, 829545163, 136008454, 789649148, 573168218, 1030165929, 1022204374, 982128509, 713381975, 324254644, 47042362, 296376754, 33486177, 286817636, 940240571, 836595478, 369209554, 159058779, 181551822, 916999703, 655526494, 392583728, 952399732, 98074540, 781758625, 754187482, 633479386, 756903379, 937071733, 597703091, 171528076, 327304838, 596466161, 394130469, 166240481, 785159855, 568158621, 1043206453, 312742701, 762301640, 85431552, 456601775, 619047926, 474042031, 596001659, 431051933, 199542207, 393707436, 981901390, 834219522, 317987542, 655714224, 895854147, 772465375, 666708880, 123494912, 633682186, 298394264, 706477449, 509677540, 256375709, 798006495, 48097171, 921606152, 407588790, 631191508, 95086115, 577319080, 177101358, 242825043, 221756585, 126540935, 839816681, 922771090, 906548522, 264852573, 81248875, 207014120, 718120306, 541697963, 739121441, 860338016, 300798035, 524813994, 811445259, 134719034, 930356992, 259977856, 8259782, 882231039, 810597334, 965731335, 964806598, 505782199, 735316717, 193236514, 534618059, 443897802, 986122784, 513214312, 115408781, 887190676, 364086231, 835196569, 600805313, 965235874, 707163695, 697481356, 543625043, 671061247, 407392406, 931655995, 222622521, 614548409, 169846454, 912125263, 438624162, 385466549, 470893033, 225126156, 60157746, 681545181, 144427705, 294606958, 955849489, 301461074, 679771500, 920375164, 700635818, 39446686, 994951427, 917931069, 868789601, 161786223, 544404993, 1039415510, 1061527624, 496291816, 239877181, 302728901, 369813245, 191488593, 825309507, 133000965, 281571447, 380124540, 145018565, 1067325134, 71391333, 1073357254, 863670673, 40173, 275003412, 1056581665, 349360271, 13035710, 754920134, 333711988, 125743951, 162494038, 900477367, 7049569, 307752432, 91284432, 696604616, 698426843, 355364117, 553148253, 887600561, 205906268, 680325168, 620537299, 386673233, 995996373, 393013391, 802460714, 784447625, 957313161, 290424915, 70603592, 722932943, 605131689, 871963621, 898211018, 248456701, 888745250, 15031183, 632746791, 239795223, 665233340, 341689329, 899076595, 149906622, 922528163, 62722896, 174678788, 284067954, 870009278, 429626864, 782948261, 895572635, 1029535712, 575763000, 606999548, 662864081, 279501950, 886733009, 193738109, 796214391, 220552270, 331124523, 917616319, 252856350, 185184502, 1062998693, 845939919, 744238753, 430959864, 223938421, 458161883, 543153649, 349203745, 366789986, 2352865, 741506751, 163244904, 223061919, 569206379, 232064414, 962300245, 445852318, 839513915, 48762995, 918469093, 851369465, 1030433147, 594050276, 437627677, 873791778, 352095532, 389454645, 695252719, 554053833, 796330745, 21379451, 254129971, 548107550, 412984851, 389641665, 779344041, 1003970069, 139003293, 78675720, 979351239, 601741570, 832380815, 296757814, 468905367, 722125970, 701744739, 100175181, 627864709, 609438064, 162639249, 1065973202, 957422147, 299808078, 485144133, 691935785, 14351066, 150518686, 729382520, 370877574, 735273085, 653020650, 4544346, 114066040, 176376665, 378391106, 113145839, 439272512, 669619106, 663786332, 957554327, 944909891, 692634043, 878387882, 614372188, 366281983, 465984685, 148005116, 277618459, 946644405, 915825551, 886801405, 923720890, 640205074, 809904674, 991838490, 520881317, 64583020, 1023451020, 873810156, 600271553, 244369306, 51407886, 765575873, 330088454, 1008156888, 56570474, 768966065, 776544931, 241419580, 711847838, 542101161, 897045390, 221677853, 1071086871, 692601098, 905840865, 111992138, 164668115, 435534822, 304226265, 674932484, 355413418, 515016876, 602678875, 533588169, 264622684, 815506006, 264802901, 362787654, 764037734, 944976463, 881573842, 813589605, 102693532, 740790094, 670923901, 62610094, 157321141, 510687117, 559877414, 1044650025, 593143811, 619026431, 42713197, 935263555, 687432489, 398049338, 585770772, 18040109, 619248543, 1005639437, 632526743, 733026393, 661355832, 387726526, 260570820, 1050638493, 345352280, 835124999, 225316541, 568679944, 507787928, 987034119, 611827378, 158597062, 36499043, 120306112, 117650039, 1011378528, 933045294, 884253274, 514304323, 686466356, 691681375, 141339085, 378317906, 945385114, 892845480, 852591731, 926952521, 673969323, 301667681, 205167487, 1041007147, 672373389, 402191061, 434902588, 354681944, 582962961, 806794421, 753571900, 465364346, 936567006, 920470033, 614178674, 340271820, 673272171, 850764408, 97267422, 424330704, 160571547, 147677706, 766313285, 833772034, 432857426, 682608282, 583310523, 520992099, 48847464, 266147214, 851189647, 288444127, 686650671, 406234567, 1027640843, 238713523, 926713942, 876240143, 117999983, 536778114, 219177162, 704761222, 787498089, 634292262, 44788040, 698157381, 36426572, 620941864, 56826345, 554789618, 26016588, 876106077, 465776244, 1045765363, 279926898, 548228267, 47546067, 733787881, 1058784103, 330815579, 609863238, 391296311, 870601306, 919686265, 460936357, 895254067, 810078858, 349809462, 71650270, 737299361, 1015940037, 263585387, 546495593, 734210649, 1001272991, 580040450, 896384982, 988827834, 84883350, 50872836, 625581587, 160274079, 350061107, 894499874, 579718521, 671652002, 954029269, 8594261, 251161553, 35518928, 556666900, 564668588, 565033619, 688110615, 480624837, 84817651, 541313196, 256419978, 720997874, 861363468, 703480019, 629924759, 527836508, 230624691, 172672718, 1001468295, 173827272, 88622353, 572695636, 253758192, 447017403, 257667784, 799194841, 527933766, 1029056472, 746543565, 186552826, 751456025, 314762200, 925432231, 459264913, 109649682, 368143186, 861559701, 480517012, 58286201, 252982763, 108756824, 1057081168, 660785373, 506237871, 500501087, 1021880441, 854109539, 776986593, 458421817, 371603837, 151696047, 667361295, 395351330, 30795321, 488762169, 37916418, 993807892, 535702821, 38331232, 551054270, 827812148, 378128877, 1067835744, 318952084, 504517760, 273115951, 578894488, 858643017, 443943600, 557542305, 236082163, 845326083, 327958132, 415375944, 24097137, 3832964, 730355362, 822279263, 139008356, 903851906, 743429941, 137278524, 373119378, 127455597, 676710460, 115924851, 636466950, 190110607, 233350019, 1049918869, 712595147, 836868846, 953208986, 33213082, 793418887, 186582801, 539859798, 110243157, 43338451, 165302211, 214179190, 375441205, 309007650, 515722247, 1051191215, 612776187, 724860246, 131768380, 656266945, 49476906, 1066577568, 44264220, 428835992, 957703493, 679339573, 577506833, 353161888, 979404753, 1020987078, 734642469, 142648608, 656973356, 671744530, 264898597, 3526450, 408702481, 941538040, 663854737, 150987730, 176366549, 379578883, 75417833, 1049792206, 960079065, 219185036, 489223983, 452295802, 966028230, 374155140, 515941509, 126331543, 837398981, 765533918, 300248753, 425122644, 373455975, 709675675, 700001158, 745558152, 363901651, 937019805, 535429234, 754376400, 332888247, 835624588, 547367769, 751648751, 976518076, 830894900, 856291859, 692668366, 688298963, 744468241, 975051169, 811809434, 537611321, 274557366, 396171892, 17010737, 470637050, 127810656, 149477480, 976718602, 216353360, 851407984, 748838756, 259092151, 478971495, 768750372, 792773008, 202223430, 48028342, 1049187032, 30030772, 600093917, 968833754, 828961191, 451790503, 685593272, 578502464, 372634465, 612341909, 51160259, 775290930, 257924417, 290705978, 1056088503, 1041592657, 331702489, 971665599, 987998837, 799314250, 177809279, 926032498, 301331415, 333186638, 26801362, 1043032672, 294369886, 631466167, 791213463, 991388423, 412019084, 671091784, 819400906, 849218913, 833092920, 443316252, 468937744, 978218329, 519815040, 244272327, 107733029, 798912155, 538321342, 334969042, 132591211, 569773151, 673953036, 112376816, 681367770, 750498867, 10395198, 281053736, 644832507, 269385253, 516741892, 1016782423, 525298284, 240729078, 506841608, 917551359, 409056684, 471981570, 961162722, 473940045, 832293867, 720180432, 636962021, 39466379, 1054758798, 15473228, 782174540, 665196577, 595045057, 945469511, 902733942, 350079310, 415966364, 589284443, 732483445, 331235987, 589319815, 327239974, 874748206, 839693734, 664396862, 946768334, 115808709, 679779601, 133238207, 532163406, 580741755, 283350757, 457477942, 365050588, 239797445, 634052710, 222765367, 304391305, 480706759, 671372590, 587112784, 392095901, 870686021, 446008439, 403351953, 703787338, 369647092, 523258199, 485858071, 343635206, 1020203291, 771350207, 595824930, 994796273, 638010971, 149673524, 753098808, 263976761, 334282746, 980582061, 654486803, 603368965, 135001964, 310335964, 95711746, 581725994, 124473348, 621164104, 981622938, 481044855, 152179294, 606556005, 232670847, 369846807, 959464196, 339742715, 787956159, 873184562, 468209470, 747932435, 461340987, 342818157, 287762901, 177193922, 569766107, 1063625348, 278404374, 135250102, 789366697, 361172217, 643076191, 733429082, 1013501882, 734813019, 49108510, 540984804, 348545392, 553159729, 958350744, 144445265, 777155870, 994056210, 1040258544, 624616992, 273266491, 445472648, 36875324, 942237786, 171075867, 511675382, 411163312, 962916236, 647485853, 1040869583, 671100613, 473619814, 362792147, 42929445, 55194442, 1071039583, 1010877614, 102323163, 756349939, 93066650, 783036924, 507604289, 1042123912, 632867387, 885539493, 865968670, 993550688, 325817969, 600365729, 48486366, 466185718, 912421495, 103649855, 493286718, 491889247, 507211377, 644065153, 247789619, 373486156, 745283621, 1025575732, 341655569, 365153428, 561829711, 880997681, 41589422, 567090677, 471329542, 806404325, 846320613, 638006579, 828054707, 761453061, 422430426, 987887663, 336656985, 617035204, 186737042, 688896138, 794660421, 377132999, 589802031, 505735282, 396118846, 561834751, 618869247, 418074048, 528056895, 821198836, 889097711, 710932440, 931190006, 115969840, 747862825, 157487351, 131246898, 474975478, 169109763, 85509046, 433918535, 836127741, 537919150, 338692431, 667073087, 317310881, 15408721, 404063803, 850015929, 814948842, 721934432, 57951116, 661613031, 362145038, 718210792, 637787224, 606261580, 156320986, 930195767, 845461451, 572116716, 653711095, 478725932, 411443331, 175052496, 1019109464, 985143960, 194463121, 771973101, 728735097, 788549614, 730060199, 57967916, 459938160, 263796929, 613405322, 1003457793, 822255169, 341914062, 11481813, 411489811, 111368421, 273391297, 865281911, 564808380, 736992677, 687373761, 315831514, 110294073, 31900362, 219619258, 811400511, 887817050, 147906076, 47742588, 868676441, 167706724, 525614198, 641794497, 757573754, 98167744, 299156053, 865768686, 362149325, 594280654, 27673292, 306008554, 209194053, 883195972, 112331429, 1001942560, 350054769, 703314689, 341010076, 195966634, 838858699, 468809986, 28063384, 516880901, 4012167, 996118576, 928440369, 531262826, 17722136, 407615284, 361762628, 953139223, 858086304, 446006779, 634957818, 138660065, 540872641, 431143824, 1040763339, 744212506, 127596691, 262889501, 635260815, 738475129, 284194699, 849242744, 509363742, 685688914, 263488791, 785916240, 320063810, 108642219, 981122001, 432818205, 333529814, 1038442731, 249652842, 689743840, 812959047, 138365899, 675241638, 1005057781, 744238673, 829841698, 869074746, 552895001, 622153599, 698831769, 523346207, 442587682, 640268387, 418069245, 868730725, 160909357, 876857954, 640623414, 58467627, 208815893, 1071209792, 912698284, 637170595, 268234034, 527012287, 386826637, 1015169275, 717893112, 453481541, 980747845, 875980164, 273902676, 802613892, 428347237, 121022342, 255802536, 714899176, 303750545, 607592468, 1018190607, 591975763, 144365815, 556562392, 497386208, 666198376, 1072619817, 570117902, 811062502, 369993069, 930021690, 331799625, 748860473, 315206805, 1055793132, 342886769, 873991751, 207996610, 726859483, 971311266, 433889339, 211555923, 259965588, 408515003, 252505136, 662196824, 815789796, 625450238, 816570014, 250747662, 545176915, 775347766, 241576393, 107850220, 521085944, 1043698116, 887980417, 680957804, 75790765, 476828887, 982342969, 926403565, 345855587, 192336007, 635327136, 870282559, 976810327, 374332110, 877221247, 914918937, 765052582, 907037845, 743342751, 901347105, 885306052, 501494216, 745719996, 701116493, 514408761, 769775792, 556626176, 279555017, 539841107, 329799479, 261022062, 774599731, 505632920, 880728488, 600501384, 803138777, 853375326, 841115819, 394062154, 847762620, 1021244349, 676135594, 499323636, 150443508, 304265211, 234937294, 508763564, 368811086, 1047228032, 995670542, 584021836, 774111154, 675578287, 607344059, 263094258, 332179785, 284986086, 492245040, 418142709, 229654266, 949024408, 113599007, 214637805, 1003891532, 85239181, 897873171, 29755835, 598939753, 94810775, 96307116, 675301057, 373323104, 325197481, 742157235, 148723518, 200071092, 422070340, 334223622, 498740291, 125461899, 877881108, 622425274, 398444644, 893797, 740105962, 865645175, 719924848, 127548662, 661377464, 510973664, 217628225, 372404279, 698333161, 416907535, 1068933825, 156947934, 439137542, 735378821, 823888846, 188218380, 677855809, 131117198, 668419226, 67826828, 164584432, 1043712079, 520043352, 342596292, 986584113, 350338996, 371799880, 389993962, 767720084, 495916815, 399557768, 616879938, 597598790, 1023379328, 947078994, 344415890, 759461089, 1001309402, 631789158, 562086647, 730896818, 554513776, 178494723, 28151045, 158808123, 161274323, 607308266, 399088694, 1061242894, 845251608, 300524380, 46860493, 177263933, 873782908, 604561802, 551323484, 391241062, 980414571, 68341012, 117868329, 935071955, 603028800, 790375456, 617505040, 314742445, 914367677, 79427916, 214815766, 985073763, 270586140, 1001402002, 1032445869, 145801446, 577181765, 80969308, 430705220, 151621713, 165825296, 63395891, 73873002, 183987661, 974762242, 958546326, 318996458, 213122214, 1057488069, 395730197, 1048808912, 455730907, 565734529, 119280015, 915359088, 88650628, 2699961, 357376985, 826858834, 226287386, 495814411, 265449129, 787076840, 300200654, 378872217, 530140314, 801594868, 435195744, 942050866, 1055685541, 359772298, 510707514, 561136636, 725166343, 206271302, 11999301, 251736441, 527670284, 505981271, 665692468, 1082442, 336819623, 74518522, 677216897, 463286828, 761367091, 1052113771, 553756522, 393574319, 500879919, 849619917, 576329430, 801759889, 877396241, 522121807, 187332085, 898755445, 208290671, 158269958, 933681106, 255523952, 773872046, 741719409, 727146108, 987063567, 916003133, 681064851, 760612935, 258503630, 140939077, 852527249, 1030300727, 457623994, 674470788, 626378087, 199320298, 161520249, 501407262, 720209822, 209179983, 42073185, 739390915, 543445879, 979462424, 622995217, 621252068, 406707767, 11869513, 802570080, 648383497, 151270918, 121227813, 577885033, 104013482, 986167089, 637054403, 344814620, 327567551, 59876492, 66235999, 341782286, 709455601, 1003208846, 896709713, 23891090, 811514538, 684986123, 151419688, 286236840, 612891462, 288869016, 94065842, 62534770, 112271471, 1067850167, 167461053, 815062654, 278628394, 198869106, 630911386, 582322714, 302403835, 212017847, 831136903, 790729052, 458086330, 456605035, 56019546, 719703289, 179982537, 368878439, 458028947, 900249650, 816083152, 686272953, 1024224434, 126541269, 743534299, 946019160, 170847625, 686680652, 868469655, 785290594, 346292233, 553066176, 100203572, 473091412, 820604919, 522913483, 587356445, 322635644, 196320142, 58662420, 159654622, 916893881, 379321704, 240711038, 101172917, 953224038, 679162237, 997106082, 214614576, 197052478, 838551523, 223381304, 203160948, 72099664, 61972946, 422241621, 405924008, 304866088, 856842035, 719211048, 715718741, 200929245, 922668489, 961185973, 937544065, 45524506, 210621365, 199690700, 754100501, 87158226, 976984282, 580919258, 336354815, 327525219, 266235990, 681547720, 827593814, 609728908, 936601315, 297956857, 533825060, 1042199763, 57218537, 274192976, 503430053, 286391323, 335338263, 530484414, 552988650, 780513600, 1036206449, 710855816, 199093191, 932609288, 97550226, 846367963, 746879474, 735666801, 327011250, 31591919, 362581759, 975165829, 549082066, 1057043855, 535838193, 364821517, 146250361, 14128073, 605486983, 665860191, 160777513, 607625628, 286656587, 803424783, 968080307, 823933813, 924276623, 784318872, 777416123, 939296697, 638392987, 941425380, 579998634, 631608783, 1039636913, 798455196, 34513947, 388099555, 200550921, 594535201, 370605752, 458095472, 733977931, 348748238, 975883091, 795696249, 834762641, 694086297, 183761008, 737722271, 706575402, 90398169, 341328735, 85912306, 50989323, 626979246, 311902093, 803226660, 266722957, 137172387, 73344154, 869391809, 71431796, 933100191, 388602407, 109561496, 490469978, 1009496675, 929012577, 926066374, 1051173712, 59407967, 132416467, 861504829, 1051040801, 492850450, 912037483, 580571887, 1043081745, 1006398848, 754386163, 877921817, 179979160, 679993011, 569275160, 110872558, 885927000, 195611395, 740254371, 348261202, 476008109, 217098918, 927735908, 785280213, 595437364, 861821557, 421967928, 831406683, 305917337, 22478823, 313071757, 149202552, 956820398, 1030769416, 518755204, 479490469, 579167347, 854886182, 249591800, 184970046, 601651583, 230581357, 769558147, 477977747, 310357700, 393347309, 193649741, 534494635, 84130997, 780281769, 39737968, 956732998, 604403612, 112221709, 382418287, 764767931, 612153337, 535451021, 591628570, 343261663, 400162664, 526830576, 190242017, 499973847, 757266728, 208722445, 582307060, 697080504, 70470497, 1045461034, 528898709, 484519276, 1029857712, 1066142500, 702773327, 89045585, 521805293, 886912906, 573283633, 108007661, 802758479, 386145720, 538432717, 119864555, 1015272015, 148998947, 575000443, 254855849, 76751692, 127088187, 164689294, 766566750, 209275604, 382467358, 945266330, 260389528, 599696340, 623753622, 294100966, 835646698, 97570453, 734670031, 659019348, 741019040, 250049223, 584789118, 423926141, 525286434, 191780386, 445557428, 540119060, 599515969, 784453246, 29943338, 919248406, 192876655, 755017849, 370509487, 263294019, 220134639, 251553342, 967479703, 64383507, 85085987, 59641059, 882208224, 757838054, 941005705, 616722513, 1043492865, 331659430, 464669887, 878440540, 196249303, 917191702, 556544823, 732995620, 446546491, 640662472, 901172639, 566545110, 174716615, 408195268, 181813668, 451001987, 913151062, 347636839, 128325442, 236208253, 47545126, 1070063985, 220283309, 105687621, 777083196, 680492877, 580318938, 890080258, 690265309, 920207674, 235032331, 647668328, 71157398, 409798682, 964597918, 511616166, 392247888, 356334511, 1017399996, 128995833, 606615707, 811608795, 592165031, 369357659, 353083210, 567650101, 123412649, 889609620, 547802612, 511953374, 613664120, 1018147398, 425527616, 206773296, 277420575, 878316912, 18456225, 646447092, 768843568, 399198115, 67764529, 809890662, 375675212, 1062841967, 668155145, 912568661, 70868746, 294693504, 753164791, 423351200, 35454661, 521794040, 641341388, 941234566, 720006492, 235126017, 94216195, 283257228, 613692842, 316476649, 341071927, 502161300, 969420077, 73250160, 566179831, 791309173, 772161144, 856602484, 618695893, 587436313, 829393443, 225668055, 238538951, 751944945, 344451981, 308071193, 503331099, 692834742, 595254363, 660681422, 18196433, 983423486, 732233739, 612068237, 436877325, 503503717, 702843052, 481007982, 185710748, 1064465824, 1015795179, 866883903, 1007915169, 986306266, 307660827, 28890790, 410592344, 249095124, 963791507, 332691711, 944615033, 239022983, 801040061, 25342080, 1027676196, 296245436, 826409290, 908218484, 1032773469, 1055279816, 286733556, 562035827, 103143371, 667929650, 751201928, 361735350, 957463273, 817068506, 51982291, 119634864, 901441618, 787158917, 775230027, 610889764, 853495648, 937604085, 751347158, 673436953, 971659593, 728814419, 801907419, 68859929, 988639657, 1041047861, 407570120, 699015343, 389538920, 203921906, 581836249, 891881956, 416073690, 475148315, 847419466, 1028687179, 968347229, 702017315, 182057491, 657833368, 975048273, 480122380, 918740634, 793052385, 197161645, 978839443, 943302961, 100586731, 569029776, 282532473, 231147865, 324369178, 598362873, 1040102255, 691617844, 246569451, 784874738, 813504799, 425095482, 714656284, 618577600, 774264725, 275580220, 450158094, 706379937, 438118896, 502535084, 3224904, 1070494218, 199583373, 453936150, 173219666, 620417594, 120963481, 958255496, 767910176, 642208712, 12076479, 60480681, 407540675, 184430818, 404276981, 1021408402, 204949336, 5319744, 563996698, 797971872, 360265344, 948176985, 362032777, 1056377039, 1043584442, 118490624, 662690575, 1038991722, 502366185, 896726421, 1032303151, 94246092, 119718371, 14750140, 884207003, 956878826, 1029984034, 1057175410, 739133722, 685249422, 242322863, 740045266, 1000759591, 810558218, 606740697, 652772721, 833897892, 451792181, 701945797, 863694150, 896546207, 357470596, 428531138, 205514843, 550974446, 223805075, 55436863, 977581413, 920143902, 250518884, 783126087, 625047482, 151953146, 356989029, 550105126, 761217827, 514846403, 708253386, 364958449, 665281764, 105836205, 828649685, 102411361, 581248997, 135818875, 164230892, 960559259, 74501972, 670241638, 667132954, 983684163, 624789289, 523626163, 808064983, 29177328, 1848976, 37003714, 9607090, 65918036, 320999015, 454333362, 796972468, 781991237, 878384900, 487350730, 497785622, 1055216327, 913166547, 164360665, 513270191, 786385539, 981897206, 810133825, 713658718, 543624938, 447202568, 441841074, 655496153, 669377394, 306527300, 808883051, 368529801, 566339455, 742508676, 743788005, 679108638, 58325163, 886067958, 108302225, 275873050, 154348446, 408110528, 785836697, 138745034, 780149414, 724278888, 330236575, 389465426, 491774405, 394590036, 162275036, 586842811, 984914605, 288261640, 819523491, 975916053, 558524752, 1008670049, 901687414, 37054330, 915240849, 499905618, 435089435, 610904740, 258020816, 620223372, 473678487, 902082142, 461075067, 732058595, 647686672, 739873388, 1072011386, 585562216, 391544429, 3355297, 412625544, 495523680, 888945180, 610103288, 884738446, 872972670, 687449263, 248313233, 17412949, 29328515, 160261248, 118569747, 964735286, 1033057041, 1007809697, 753658374, 1043973078, 44871436, 523803653, 107795139, 540853697, 362346019, 1028118855, 513153351, 43591695, 949409017, 201937976, 1006851247, 422910329, 869854784, 448248958, 584075891, 343573262, 687372769, 514966164, 1044094024, 168044571, 774258334, 582668002, 57766474, 550125348, 967974364, 1000693798, 971047447, 688342996, 291072213, 162664671, 624700082, 36794177, 142359913, 125586819, 612520718, 48458415, 329373081, 557125988, 1040568497, 135069220, 341927713, 935719069, 789540488, 30398231, 481803848, 901129721, 338182042, 651198893, 270329526, 904727347, 136625160, 1027032972, 33690965, 858662722, 244699823, 593265581, 489412997, 644726204, 1006684219, 363554121, 81145298, 840112735, 609611846, 102230846, 411488866, 1012171154, 1027367906, 803054323, 642995525, 955563893, 1014573163, 1013477260, 1001318698, 360259413, 375787863, 60467559, 841076460, 190197778, 196211522, 520162633, 539001561, 788657304, 850247708, 401244208, 915216155, 607941363, 535070353, 78334559, 531947919, 1057090014, 823450237, 347148821, 226186491, 1049926454, 143894767, 1055345756, 226433969, 921091614, 678478887, 929604265, 374863927, 381377847, 240576500, 506742868, 810304346, 203847288, 897463709, 579768717, 409855550, 362009338, 767663985, 902482988, 551881612, 562170562, 271366032, 963204741, 404679192, 218233493, 46486192, 582932072, 702846436, 105037200, 776838000, 723621880, 240780075, 230702949, 474439684, 690100651, 1003747971, 665272780, 668405168, 511657280, 450190578, 849270838, 457568923, 882177612, 754834470, 226830998, 901786784, 451557849, 201587668, 461726722, 73354975, 650954865, 84564520, 475838787, 314939667, 414115206, 4510271, 954640214, 466746986, 902038054, 872281470, 586296925, 37632960, 363672038, 1051935749, 110960937, 292719081, 668990539, 791233670, 821612154, 885640703, 23057005, 661223048, 487371235, 738260136, 589744051, 639125581, 564627470, 146233452, 832171689, 1017951213, 1027367476, 1001726393, 637428986, 428446266, 888358914, 413594387, 37489729, 545470624, 1032246840, 956558678, 196313325, 873765454, 103761552, 701188831, 377559044, 893497034, 869572398, 437559872, 66789598, 830317477, 700282614, 971894930, 827913420, 558310455, 726649784, 328467555, 755421360, 624465727, 71518436, 870941996, 787866036, 198144755, 615989681, 817944204, 628646670, 756060000, 45082937, 524215496, 392367960, 97274386, 454265338, 617116918, 145056763, 533371763, 544626070, 1049738718, 351621145, 605136329, 338573584, 954854947, 618115460, 415639508, 319752629, 570691548, 886947031, 236449289, 719331429, 757477813, 567058522, 311880619, 118764392, 812667108, 486221831, 253278242, 308507301, 951898801, 483706745, 383900831, 146864185, 748278321, 187059392, 105401970, 637472153, 789584968, 126329027, 132732978, 479419847, 931941533, 569535825, 1012363625, 129510253, 461368638, 1023536308, 754889360, 559626203, 158853793, 354386388, 907685267, 274593104, 418958720, 975856453, 968580847, 1051302568, 903277371, 27542894, 980516894, 62415501, 368763513, 256753901, 1040554673, 480325167, 597013118, 143602655, 366216787, 1020617428, 554624622, 293129785, 957337869, 340652155, 836436768, 733021448, 278384278, 43250090, 1053748531, 533191285, 814835563, 851323390, 818654172, 994165428, 628680373, 1029474685, 385127615, 511162098, 450101662, 395379548, 973916362, 707448525, 586549534, 361512653, 371529215, 363657675, 363689899, 627754394, 976032871, 266368591, 305816941, 422649251, 337612999, 1070936720, 155011406, 957424579, 857178513, 60408046, 575817129, 749234437, 174584896, 152834517, 449941645, 84073511, 856252315, 551329185, 299343191, 1052123270, 623825988, 717238258, 950061342, 303279845, 1005493449, 63240080, 701227613, 880114406, 848411415, 272813836, 421118031, 769205816, 270052044, 477852025, 118329170, 788359213, 451460415, 142019865, 969818135, 503304141, 772111502, 511533348, 281399186, 129376959, 22853717, 170483311, 94463280, 21936612, 1053847178, 1021738021, 600124945, 1042260680, 675493702, 545271971, 191160854, 462211969, 211352946, 29660671, 161637565, 326699531, 1005829092, 1061886891, 76891912, 913190341, 845776511, 999439256, 815778687, 729459955, 335788765, 550272016, 175139924, 163662741, 1460708, 552546746, 340929061, 163066435, 129936645, 884079577, 1000280423, 432073763, 665733238, 524354394, 614393152, 829515356, 320525929, 230777562, 438207167, 578997835, 351055315, 714758779, 1066653311, 1008139755, 66642511, 462802678, 910943963, 953255796, 73402054, 528249409, 409528548, 609006603, 874903933, 615156716, 336619401, 584520978, 632745783, 115972972, 648487385, 631546313, 1036074136, 886333700, 809398276, 971792281, 1059306855, 976223341, 307344168, 321947140, 627778250, 169476383, 216540189, 193172563, 240545742, 343719431, 822718766, 681682175, 12780651, 660559199, 7314482, 41941235, 666268295, 241041669, 746741303, 78518487, 376840071, 460932298, 829930111, 758185486, 1063077103, 605343935, 1047336174, 65920060, 234910835, 24908807, 996786248, 724028660, 681730437, 730325259, 25169318, 739403911, 506246670, 431210450, 170895987, 305599667, 401111534, 536282700, 718186061, 297734945, 120291125, 1023277486, 585134699, 864818138, 489731005, 931354131, 889735755, 323128781, 798413675, 62338515, 201810518, 108027327, 533499784, 722588017, 559333224, 277737833, 681056867, 12586097, 185499048, 248463956, 526539328, 418506749, 107649480, 465185506, 1055915590, 712009987, 1003757, 389125092, 777123019, 17291304, 59312678, 311054544, 1022379514, 851216733, 758048823, 388467194, 94403786, 1056533981, 384009479, 455113503, 837506855, 779381266, 288333577, 120385953, 456770634, 760679755, 858528345, 719932788, 161849860, 510050749, 481406185, 603907836, 700928192, 300742976, 484870374, 617879533, 890107348, 822794672, 176271985, 322498950, 957450428, 604975880, 304110688, 934259081, 823105362, 894650271, 982050152, 452632689, 197874147, 429185985, 878385177, 296217832, 349949919, 111020765, 640286282, 474343609, 105609165, 664184351, 805419923, 751340394, 62069747, 758286542, 730246872, 906203516, 508164479, 765870145, 70502781, 274827771, 363567606, 70215510, 618167576, 425538454, 59583679, 1066009002, 429643441, 570414362, 764914828, 516338379, 745183209, 949201220, 36131314, 187156442, 1019245375, 679515221, 993222991, 335456565, 291246350, 158979156, 338905592, 506890631, 558596455, 284466758, 110045091, 304250021, 665332095, 222870801, 770809879, 456919326, 1025457126, 122161956, 245222593, 349301746, 84612993, 811139032, 1020834630, 384238037, 266712100, 48659193, 425386432, 474725636, 137871163, 402075921, 18129263, 3318543, 1017584238, 908285660, 614868097, 483916165, 479782221, 98035505, 291059140, 221500927, 548044003, 400821235, 195151032, 785333249, 937365789, 537758616, 630484815, 191071228, 85768425, 936438883, 47698496, 1031033632, 875835930, 388707790, 666533082, 338113183, 216896058, 418891039, 246487847, 158282859, 615581335, 571686399, 549962455, 481695098, 812409782, 851152909, 236443436, 418166683, 694428189, 504004399, 796209017, 152106460, 420260056, 788596065, 135972825, 1002302811, 686760077, 907166519, 906720797, 1050332364, 964754457, 342333864, 411735095, 644814708, 945494068, 1034651214, 272188365, 800522606, 1040310559, 867544289, 230516226, 801604076, 899034576, 479799461, 629179396, 184570529, 1022152232, 330049943, 982512610, 849724585, 965968451, 743591515, 916177829, 1033935150, 632885733, 166319924, 989745032, 359798127, 831541181, 871983730, 202100674, 953448303, 667076303, 909576761, 532785099, 682736728, 636124049, 933056562, 366102947, 519638196, 461079527, 512470350, 1054293849, 556172744, 394642593, 1062922435, 113960909, 21343680, 1041541655, 122188340, 357060018, 748322372, 844864076, 215941033, 351005414, 858081217, 403907521, 597629066, 605936392, 75260465, 835224324, 411344959, 929541025, 835667244, 977898611, 503224088, 89483882, 741064945, 55612765, 165033958, 878851305, 102602176, 811755330, 949883304, 913532187, 694125705, 583464955, 898690373, 1036164778, 1020211273, 314132641, 708336404, 236967345, 130844120, 255390582, 490373964, 702710621, 342364256, 478020613, 593099612, 514857956, 48688159, 865023931, 270549975, 792285529, 27708792, 754424217, 17271314, 753273559, 1018691204, 61537406, 951823678, 717902538, 373810132, 471575213, 137286313, 407100445, 118036842, 943397917, 541987657, 344577764, 224347146, 701090549, 195448326, 1029505248, 24953307, 188716394, 575595696, 776003995, 787387246, 399207012, 124637361, 116906166, 142780584, 465828435, 709385297, 287617627, 269920079, 862791153, 412100056, 215670521, 860663360, 520365655, 181425923, 746259458, 910363543, 213068242, 812056846, 405459479, 629925535, 275091707, 42991553, 922109325, 476620556, 279824101, 1035178262, 62385468, 313717098, 1042125831, 443545086, 245222445, 262300963, 982536958, 337862829, 496925561, 889859022, 176608305, 979647889, 369481904, 95258423, 127867808, 205220699, 1069185020, 314755967, 764988432, 53373366, 1071405657, 737875692, 801163496, 93259227, 488831059, 1053992216, 940842931, 729641625, 697574713, 527647852, 372615220, 969298140, 228221222, 275598476, 930753139, 951383172, 44455222, 510106814, 979454505, 494223576, 775047649, 743730959, 191685602, 212614795, 147480161, 525384507, 225530933, 651877378, 460647111, 823492620, 369685301, 940951887, 412385337, 652111054, 1009813605, 99945785, 749911237, 99283869, 744098639, 1070939998, 48749271, 630205457, 545193651, 973741694, 275510230, 55126041, 398864861, 648033539, 954132500, 548793269, 420867952, 457431946, 503209471, 709081573, 111744938, 918636028, 1054397689, 888741624, 729391615, 613628976, 624878651, 875749051, 222972789, 996711690, 93628560, 88458582, 335842142, 787592516, 784889066, 292932742, 261927785, 186243216, 534724305, 512334267, 562858340, 946301526, 940846703, 241103891, 650518312, 877961135, 224625219, 612875448, 174125413, 526362888, 697727657, 55643541, 844489642, 721899724, 609523888, 839770505, 791215540, 896840614, 362773923, 538778989, 769422496, 895789700, 398949249, 555091305, 90521730, 915940879, 1011547858, 524655009, 685282192, 937398782, 258432180, 334017669, 746390830, 90243940, 124831425, 1050252999, 379132453, 335862110, 435337167, 778466534, 252663207, 666471464, 152523638, 6670242, 425652688, 570262433, 8146781, 619326965, 140152460, 754430157, 86976110, 508030379, 844057200, 251698114, 1009061806, 21613647, 318683701, 288054336, 326710324, 845306869, 54178989, 529787416, 69824236, 54006892, 835794365, 401949503, 448382308, 243736724, 180458829, 931814272, 200316922, 418663891, 4921559, 459983124, 316842120, 830081666, 2809082, 560408336, 89950160, 402852114, 969260030, 472804798, 45662505, 820035937, 1071260070, 947202150, 601064457, 42058721, 80803528, 77234894, 794953445, 611380329, 779797278, 775262354, 889084964, 1031566670, 221301994, 541111224, 29623988, 931839719, 764793215, 97577868, 64403584, 806655111, 425965932, 217386256, 773869192, 926274297, 298765359, 393204202, 351493125, 590435004, 185415734, 367876180, 717429818, 147185038, 412579956, 529425284, 334079431, 752622643, 961644366, 715220556, 205890607, 24217156, 301222625, 173692770, 928647492, 206885801, 994239782, 941674688, 884764419, 1050544033, 203880859, 601690474, 749726346, 723691262, 91147467, 298584217, 310745858, 604121773, 816882638, 335616336, 960349662, 1029856493, 7149553, 355312369, 668912799, 765494790, 367083749, 721468466, 838283450, 921631861, 930556475, 611943158, 162611763, 232595226, 630161585, 225918632, 848754936, 895658072, 662022992, 598209747, 580073670, 49832937, 846564752, 1031681233, 617585973, 712548091, 603209236, 382350990, 593291965, 722590384, 403384666, 217687753, 346733375, 732635850, 894501834, 1060333193, 788871496, 920762999, 287119355, 403073131, 637311592, 237493146, 251999378, 542277195, 154603060, 376488791, 631717352, 971136309, 1046854821, 508994565, 866293414, 677256523, 673822438, 118746288, 168825536, 519346924, 22139147, 985039791, 689657964, 500544, 563125581, 444022501, 370277241, 700268591, 227871852, 444276513, 65078336, 552715939, 463724433, 19158046, 910679555, 896897695, 709523947, 681327921, 340092272, 600925512, 799725288, 183871220, 1024134760, 502384905, 782343591, 121640838, 860018778, 629878042, 165055622, 715542602, 268326140, 547189225, 663326476, 208414531, 145744911, 459005442, 384467299, 45216927, 753149539, 815987334, 815599833, 417994243, 1059989008, 795509722, 961149961, 702700843, 409075219, 325128205, 667105875, 791238668, 743392754, 887585196, 1066860110, 134036021, 104730747, 618867300, 112967331, 924016452, 496765691, 618926027, 376869416, 427802081, 552209866, 872457311, 351513173, 229437384, 352869070, 540525555, 676551301, 898444059, 392413327, 1039049944, 73240456, 80275808, 698203171, 440380873, 867708542, 708358969, 291402221, 818940657, 866513897, 36054895, 448792739, 99898521, 728230332, 406028092, 715127315, 154409013, 568354419, 105492068, 315101593, 48618893, 66660174, 109814873, 120632449, 483064074, 72418892, 752318051, 1044290299, 233621069, 716358084, 664073408, 894395865, 877038964, 49401484, 747611122, 71794762, 631875037, 679296157, 794157763, 701424995, 531898568, 25724011, 516485940, 997823569, 731059419, 93298065, 1044009855, 702242726, 654883923, 40592560, 361625316, 22149019, 552159230, 984085801, 737544573, 815755115, 409676437, 1041531879, 729602840, 379366346, 637048492, 683524103, 212783525, 719805111, 987524633, 191304515, 1012214211, 454654583, 23984277, 310444447, 550340364, 223390665, 831245485, 671324887, 629755633, 1008259796, 392883545, 706076994, 59790764, 638779010, 294544208, 207551520, 413644743, 256890885, 158079106, 944431651, 209234033, 912957118, 1054436722, 20307437, 624203831, 682253767, 401751784, 276652474, 414153708, 944039493, 791893889, 180364104, 1006984878, 587674067, 45093843, 685165983, 758458652, 845751721, 637595923, 674142712, 416555883, 540294271, 398654044, 726606929, 884013143, 771547257, 15325466, 1060405174, 240779198, 211862423, 58624953, 705725631, 418770027, 197090724, 831417721, 812864067, 666190101, 175789770, 685227348, 675026234, 498199979, 283924900, 335947261, 210815888, 261705302, 399372851, 363891081, 774714256, 360957661, 1003498284, 758721696, 296912902, 33005779, 422297634, 676016553, 1046019312, 1053145868, 410276058, 71366403, 277322136, 939406258, 459382608, 434606417, 678888295, 732917600, 915876733, 837258080, 789188790, 501768145, 537024873, 51599402, 216570100, 1051405853, 442426254, 533279151, 803865002, 850722658, 914705838, 447447853, 898876582, 98631126, 524704749, 431530545, 114089552, 88500144, 74149340, 65493104, 1002939049, 884215403, 406852524, 617578454, 704911730, 136326171, 687990064, 1030362506, 866206453, 795828021, 831974954, 841498214, 514987782, 582854643, 86951144, 322591775, 799444618, 492270363, 775876037, 841471917, 201569929, 154058421, 102465832, 999937556, 450994075, 162602724, 277504083, 344886114, 1018071297, 343384624, 809806949, 979251748, 153605766, 969291694, 823272957, 857731295, 276408591, 774211964, 338824135, 1058076858, 85095244, 812012595, 981478076, 589710297, 287681653, 267939488, 897406402, 352789879, 947270980, 1007244786, 29319314, 729986734, 305623852, 250587759, 858046296, 526483967, 607647989, 344214925, 56153353, 70529664, 832008928, 852228564, 734522036, 970841587, 277762399, 983306966, 948142183, 966814028, 60735475, 815698558, 891976378, 869327859, 406487554, 1046946071, 599834421, 649951947, 201188987, 529823290, 392246979, 763530202, 142283470, 27271990, 980053056, 906253289, 361084084, 696618997, 844616350, 981530919, 853888320, 340802848, 102722589, 1044496580, 11221602, 1031476536, 1001098400, 331877084, 88467500, 343417356, 188339633, 586719864, 476017212, 1029150820, 852653723, 387316994, 875000938, 962785529, 425979798, 2432503, 403200301, 1013658934, 573016435, 428113378, 87135129, 410460169, 64443257, 756122805, 558133836, 1048036375, 513966722, 716658126, 154213984, 866445617, 881896359, 601484225, 220870346, 190211357, 85606016, 589346148, 313889251, 4517309, 700486862, 592535170, 698994131, 705610325, 477215418, 331470243, 602214721, 428137080, 543398410, 130539706, 227995824, 1024654476, 958370547, 730657236, 291606870, 226574697, 961616902, 277251909, 1013474306, 528906945, 490091916, 925591502, 677061246, 26909074, 833356138, 665588231, 513578613, 1046046366, 214231815, 600477322, 898646113, 1000807300, 935911396, 3812673, 448103375, 979146195, 705109269, 712313903, 513710183, 445622819, 519139772, 816314717, 35644086, 1070729990, 431607522, 496067702, 532390701, 212145, 837763672, 761738951, 595885961, 928193036, 582114502, 116877094, 663434492, 816552690, 926402435, 180341867, 846169414, 84527519, 217831775, 668440768, 67618476, 410550481, 601701797, 935558474, 779699829, 136611165, 980965182, 1063067207, 1058074079, 508343536, 933831326, 287927264, 74567400, 627768628, 1009323388, 468200967, 1071467542, 651055464, 624338261, 40981907, 695966729, 392197815, 136013503, 304892705, 902931477, 164216794, 633770572, 658676016, 269730486, 89885513, 932835318, 665842172, 424195511, 605001211, 141253816, 594194117, 742454606, 994983918, 96492790, 1008041060, 934260643, 372260076, 930401962, 754108151, 279602511, 347991357, 406706208, 281023407, 741869045, 42976285, 905860295, 605185838, 633833662, 184599155, 494378478, 582432928, 414036465, 705708095, 656810734, 56032623, 664222805, 697613316, 720197598, 700006419, 10603681, 918224984, 585190283, 355777622, 602265865, 778765133, 883496518, 31765825, 45893710, 757659684, 201208817, 110435222, 196984312, 869849218, 63740248, 103395795, 1024257815, 832376564, 6171872, 352423675, 741842557, 414912266, 802695551, 101248173, 552737380, 702644746, 737549395, 705925172, 45814293, 974938629, 609944037, 251455384, 61031496, 590266579, 784802966, 594700565, 1007751943, 75968944, 894417722, 130798746, 526816803, 975388998, 1040161499, 362372030, 539122111, 893891414, 680094247, 739145815, 238045222, 1050433649, 852189543, 603337503, 514236679, 541870947, 143009783, 651264359, 827171020, 329469211, 583954316, 6443274, 127413327, 557676956, 897781261, 548856478, 1007239950, 796559852, 1051578359, 425071214, 285693701, 899382975, 661098178, 896686603, 627656388, 484588631, 848918451, 116193943, 129416903, 132187477, 690274988, 821965099, 618726026, 115956795, 498060889, 928750083, 727279876, 559425749, 721201525, 381917562, 853475740, 992906917, 1029388609, 339619838, 95453587, 614634017, 76960811, 675387102, 58143550, 71693325, 347985634, 220967185, 45827549, 128274753, 901888279, 206105106, 511004555, 64231897, 659762658, 391878186, 698374236, 934389505, 781000219, 753329015, 49896402, 739273817, 179942412, 38148056, 431788440, 135408503, 1065899473, 457260359, 313473990, 114386692, 758427972, 70747666, 1006887264, 235421731, 304679786, 425196758, 208092196, 255123392, 704689461, 1015384951, 1000857669, 668754819, 255687254, 414236372, 713989588, 218563137, 702991045, 88035428, 684637799, 320838325, 197071561, 618530955, 661259711, 440607501, 565712084, 729003692, 1003525404, 867637072, 587175731, 387662831, 952382745, 414749533, 255454119, 650679095, 937575382, 641866288, 133485736, 1034440954, 781883453, 230952643, 5479886, 249737775, 652479515, 597481071, 1047161723, 979325423, 591136821, 500150908, 902988861, 620273830, 228606105, 31846645, 985394966, 44167577, 702336132, 977503498, 70434626, 178576804, 741303120, 143850574, 738047638, 985121560, 208968405, 711977915, 159412912, 831111503, 935491921, 861473346, 359563084, 651200745, 975930169, 801599807, 409658083, 411183816, 767546764, 995537339, 268347321, 474114998, 369198725, 395688142, 307611373, 535821821, 919857642, 690549974, 269885682, 786913971, 63986993, 472698466, 1016484122, 213901415, 660050457, 310203384, 797819680, 912527707, 495395545, 554254867, 538344460, 276776890, 423144781, 1070403688, 871340786, 348048336, 543872452, 858577211, 33465596, 837396032, 465479345, 778683581, 365847889, 802800896, 726234185, 838234696, 255152193, 595328148, 406103663, 894561042, 367544944, 469731455, 51077998, 425131634, 389019416, 880003619, 520812617, 455492360, 96411772, 556829726, 858063157, 165902401, 305635404, 435380417, 234013697, 524714784, 263953417, 781584854, 1022419240, 635055573, 956720674, 600224599, 826437734, 254930709, 12131684, 77175900, 437423205, 256667866, 180667146, 407557561, 465530517, 122940274, 449415571, 180602299, 588220274, 600029890, 720083291, 203805124, 524285262, 874024586, 1065702537, 30328823, 487889861, 631480023, 79248758, 617669004, 568891242, 378732519, 109666831, 156979551, 350876094, 495106478, 176027752, 1012431778, 76412698, 273250755, 267447488, 644072919, 799736090, 171636410, 828835668, 671789913, 843667935, 486013397, 704144486, 186322309, 334318911, 897154138, 598542915, 862493748, 2479234, 113728784, 586111077, 332845127, 1054606830, 167033999, 307196469, 179288960, 834400113, 416487336, 347645886, 324920791, 451625894, 871836623, 589178065, 407479874, 927995563, 124581568, 193942171, 875770666, 907994339, 865078107, 737917824, 483552550, 557350401, 45693766, 297038774, 241049331, 774075998, 700216499, 705519484, 830521492, 91719189, 421611821, 347235167, 466103288, 63015918, 732366427, 21510606, 529777840, 321926836, 902075467, 931842355, 319814417, 509250566, 219733174, 407548055, 533147374, 397201022, 525356692, 928777618, 239424069, 161569938, 149152692, 778711138, 28347321, 822746323, 107830327, 806644727, 188765454, 987324808, 782844394, 395260195, 822699623, 15068945, 180423953, 881348132, 593092179, 1029403237, 919331559, 840435622, 645785149, 62133028, 307515389, 736581364, 672580027, 54698675, 427073840, 411777345, 104413266, 734798926, 1019896080, 20285001, 737403545, 818137099, 1010123961, 558509771, 232192155, 313337823, 349125961, 928960907, 247778855, 922473882, 423981449, 119394121, 916915739, 531796844, 56613645, 311227717, 568715344, 344729748, 580931240, 1000473795, 458493598, 402150423, 55374517, 422575934, 6414569, 294397228, 772430388, 514117141, 901261743, 306532554, 206325384, 484037178, 524163047, 562451457, 348225, 601156908, 445117768, 907908875, 761207786, 116879779, 182712289, 31256829, 845168598, 746477786, 404973582, 132935778, 300772673, 793413694, 876954387, 12261933, 463141103, 980398391, 172716754, 330369599, 727255319, 1065644669, 215537415, 355597757, 807893469, 457549953, 763232578, 940127022, 1010671563, 967520142, 19246831, 366853858, 587821680, 358908516, 157559280, 483320798, 209947659, 573532937, 281804757, 670868859, 215937468, 946684340, 402721077, 683076474, 770625598, 653812680, 246818810, 444098770, 483004234, 579113821, 939445482, 921974394, 423523570, 978212942, 95406151, 405809052, 717723156, 1063871832, 635439157, 909651419, 963252383, 840179353, 144959420, 253986246, 203771755, 140799798, 295605375, 961593920, 1023097744, 441002886, 726471905, 897208529, 1017739067, 1065165617, 96094112, 947697507, 276690172, 231252802, 677875633, 990937299, 1016438535, 499836814, 435160748, 384113375, 801307011, 188152045, 936740739, 279171918, 315465530, 627550572, 202730550, 528979943, 655350012, 288290375, 790768482, 605757020, 444500066, 510007782, 212613694, 619683985, 526723731, 395529332, 500837683, 278584114, 1025224109, 764113590, 833776109, 1021368624, 497022133, 652045249, 1048900741, 672401554, 395911954, 82429375, 339638251, 727891261, 843759913, 1051975566, 413225298, 327316372, 528572894, 308968924, 108488460, 388421835, 690896548, 51187174, 157584079, 84079747, 878360388, 275437687, 19102489, 777458521, 145914112, 176995828, 481457045, 368804851, 36561691, 431349430, 437319409, 513104148, 1050226303, 913961831, 958123464, 392213347, 995517403, 729795526, 479788431, 682486631, 467275113, 285643336, 454105056, 899801322, 709502461, 928436988, 646400425, 739765204, 514803580, 339607567, 640565392, 1045913036, 86671244, 146613, 841164674, 902764851, 10617451, 889192415, 433958913, 463166939, 1068124864, 68364409, 217242558, 647052447, 122058010, 467182792, 978058104, 700730706, 363690995, 858978388, 237081225, 75437552, 354296833, 973432951, 2689460, 868239293, 775627066, 312123598, 695659254, 519336518, 118513920, 812903817, 452835558, 486435113, 55748256, 855133708, 481066729, 1037370426, 76793672, 37077828, 467461294, 286625659, 366403479, 141428925, 670270027, 421929190, 659100187, 661293134, 532380661, 767359074, 1049080362, 307603415, 409315646, 824159571, 94246197, 189089175, 888425546, 573197981, 873916745, 518073529, 660410697, 10231816, 748507195, 644320781, 1070049598, 381778861, 283472941, 25397206, 420345078, 939200162, 106780877, 378508600, 129166187, 382612500, 166283914, 443006000, 488597451, 393203634, 846217896, 1038838833, 605016003, 50846089, 34232891, 722238755, 193319547, 396812321, 520063140, 410629888, 948980500, 108789802, 484182189, 684971622, 366000154, 256082153, 80997071, 401123233, 678060782, 772708521, 89762795, 306862072, 19789155, 980103129, 36964442, 585385816, 14001322, 1020147436, 465262949, 955416508, 686158951, 442140757, 322729400, 370099314, 231128526, 721797104, 573845660, 796983518, 149703477, 821767811, 269253704, 938277859, 399121574, 691397861, 219232927, 926106466, 331677757, 122799832, 673606022, 932334758, 1055603369, 879979226, 100762895, 828680370, 838391273, 63539447, 132909704, 964710370, 778528801, 449541788, 890277556, 887701057, 528410291, 402094272, 465213254, 314770419, 136735409, 807483969, 713250098, 337577725, 209781617, 237264341, 973831504, 773386875, 436526634, 20191233, 916963967, 381769631, 206154711, 152329057, 262988688, 428808415, 188965214, 360688827, 543078275, 938394642, 545568246, 794282419, 731240263, 175740917, 101229704, 332239453, 455260109, 773310433, 614694098, 770201326, 618184994, 1065888329, 1042436088, 559791928, 48738818, 58843517, 466353866, 159306437, 292050288, 646866833, 755254529, 920212929, 328615423, 664477313, 974516651, 26355854, 134040324, 517664017, 75141715, 607333011, 620948600, 856854843, 931322490, 359625895, 170296895, 119595055, 331706481, 532916780, 773141069, 662113398, 785647235, 14470218, 762112416, 876174752, 631696960, 546502179, 140967993, 32280543, 521264668, 908822017, 982771504, 820834312, 1064871402, 661504824, 706683835, 55198765, 986598356, 345189855, 405339327, 416844859, 470453195, 652346500, 428386838, 547048539, 561797188, 286784585, 355830499, 441687434, 424085038, 448286387, 562987857, 569616342, 930436133, 170157402, 643295277, 582793868, 766657182, 585498663, 442638384, 131115549, 840916175, 615989758, 740911525, 966955034, 281018378, 917732238, 541306256, 568901418, 569459554, 795217761, 1013241005, 1002381078, 639912900, 704973888, 597217928, 312245855, 642718095, 240723446, 819094912, 400280275, 356193699, 1003322223, 275694512, 868361775, 273273464, 684097389, 209600591, 799972573, 1044645611, 1069337936, 12489498, 225987705, 833935678, 268235595, 1024454411, 522295488, 679045952, 666088921, 505165963, 734264797, 512134326, 442092234, 65763600, 631877235, 551827501, 421277539, 342490977, 757705868, 250888115, 843419911, 717058848, 564666190, 200617569, 383539250, 503509972, 975570209, 56299855, 532010579, 402054647, 482652068, 634549452, 823238214, 869593888, 716824800, 471988156, 740917854, 114869999, 366233864, 611627319, 574884355, 629438796, 218759634, 254765965, 558454736, 577798008, 650746392, 154933299, 1045196796, 567520564, 117438724, 1130319, 533771546, 681664584, 489777875, 153707426, 320226157, 253305460, 94280867, 351039143, 789019752, 80994147, 251550047, 352242473, 668272328, 334963886, 951731889, 376616733, 450184717, 899215158, 296688591, 902515648, 288818531, 418749530, 806095775, 892058236, 827661826, 506570385, 527062866, 109090930, 884287032, 481841499, 209926663, 813920302, 76310481, 762156465, 883990692, 1013732176, 894238140, 717815891, 412097465, 720599316, 227793165, 841623821, 661869043, 126805537, 859772411, 709684224, 413082222, 679587846, 419821446, 307221392, 862841931, 208439335, 859952081, 142230728, 902109586, 1029835849, 480636680, 993020687, 27260110, 1050494122, 401046025, 489833107, 756617954, 276191, 121194391, 919770578, 209325169, 604238578, 616678373, 441765575, 36451075, 842597508, 703972139, 495174459, 981735127, 1035542684, 784432412, 598605810, 230584301, 659607757, 678386812, 959465399, 803726875, 211306144, 202577965, 679691424, 507019665, 347967657, 445607431, 450825790, 887151667, 727736032, 979085652, 451520552, 451288060, 993558555, 222242051, 539168553, 301016504, 3640187, 907372119, 752504541, 1026566763, 237641606, 749463550, 341920373, 219657879, 1065493502, 883147415, 426560032, 100249558, 311262351, 208466585, 942429890, 910417717, 38520008, 396247097, 380036772, 373743943, 897807300, 86308960, 915002031, 923513452, 749135908, 279617634, 253120698, 722389144, 1012380996, 333952377, 489335124, 1064821815, 68681436, 666438457, 503357436, 550803715, 167004026, 422240549, 681981021, 848393470, 637896167, 796620404, 151711375, 917133480, 912033456, 185791537, 324135509, 987168711, 863037991, 560003614, 1014821241, 196397711, 970170533, 397570257, 281241399, 1007373648, 948286454, 401890460, 105044071, 445653237, 904339952, 398108144, 267599965, 774679745, 181544546, 93989792, 833658858, 1035035860, 192209276, 344444200, 907257405, 438134515, 603477090, 377246284, 239340011, 317664609, 834857348, 503813974, 317550273, 809751696, 920293269, 38229401, 128796716, 534012098, 741487654, 981067539, 417586985, 853127885, 232415664, 76365218, 179792391, 547527041, 817942164, 424498959, 561045701, 777945559, 782346846, 305303416, 410350681, 295631857, 582682093, 717258723, 273726317, 747572210, 853481052, 563657217, 770233232, 500780386, 459708339, 333209030, 298806577, 535754009, 744752664, 1046624246, 421504558, 1033578710, 998484682, 926951986, 898776217, 953091176, 12098014, 952596319, 477460693, 1044286522, 699102998, 580655744, 696783151, 632543477, 821955046, 221968079, 321666112, 228922208, 881768065, 736453388, 643791048, 773078195, 905819669, 1045657955, 438770718, 581263846, 693794503, 175603335, 656000818, 383777462, 333923146, 730049674, 62235933, 970391886, 481725303, 292703091, 73425029, 94417272, 899531485, 871036416, 1055058656, 405966699, 500223764, 272433640, 501520066, 493175829, 123677659, 904364354, 133142159, 114144291, 314898851, 180357890, 969354948, 337867857, 831299979, 493664677, 558581189, 988365670, 1029186158, 943996906, 245417613, 873669975, 90830411, 828098061, 623960210, 799836039, 96219823, 730154719, 834343218, 570352164, 317394659, 129025631, 302031670, 834838141, 272479647, 278872844, 93540890, 237216213, 520010019, 24973430, 145383015, 801089756, 13468769, 914131663, 591305822, 405088407, 227454345, 487591632, 995613016, 709385391, 184056935, 478852332, 419295160, 184812187, 672348851, 814832015, 1037546105, 370500267, 544355398, 689614227, 804637483, 607940889, 481741515, 29652308, 1058683731, 982082764, 598039274, 802589045, 961220514, 409135661, 371712088, 147144203, 16976934, 409654289, 641259604, 808697184, 946467355, 393020757, 741019068, 1066592989, 1054439388, 750571523, 96343363, 892869287, 823644590, 143927236, 129930530, 892634553, 389986956, 784603370, 177273313, 394541036, 839844817, 486597564, 792110379, 256649152, 442494836, 467081331, 784323838, 283919478, 203900712, 281795002, 65508837, 221472569, 937386920, 1019649812, 173923291, 538865714, 561473376, 852846557, 654007979, 333242296, 926630041, 726668606, 869333033, 66162954, 395386608, 267699435, 323049636, 606864564, 671998643, 716789137, 577078520, 870362514, 222862997, 427188594, 81898304, 792367022, 294317409, 973570721, 870221889, 143158923, 911223360, 187481765, 810106120, 1073165935, 192662364, 913570647, 305515375, 876056401, 808607901, 151832666, 293727201, 351995048, 1051066162, 116287827, 453856750, 684143511, 847027584, 882129285, 138420574, 204069727, 969173511, 120145256, 810558402, 222947825, 426246007, 775334134, 566519948, 727447743, 540984315, 17684744, 217452517, 214313836, 53748145, 889849226, 241803917, 332229743, 399646777, 128229619, 493059256, 1051508030, 81541257, 623302883, 778595220, 953424616, 427397140, 994901648, 596105867, 138991542, 364021731, 249944026, 284350541, 346467288, 56969992, 58431815, 1060562025, 1020730776, 878930430, 424876568, 119810993, 477362543, 979235726, 641965854, 790469693, 887519612, 585378387, 521131400, 243997969, 1062679460, 911030366, 1027105924, 249883229, 906576737, 735368124, 556035904, 75787624, 429528132, 638185304, 167004268, 447730624, 556366549, 476223499, 355300381, 837304764, 230140265, 552785706, 943586091, 562354147, 524204210, 367460762, 119023344, 595373782, 170688228, 988232074, 439375686, 1033132264, 874075820, 109926971, 228490311, 941285823, 852640087, 129752681, 233426653, 731255473, 102815855, 899389662, 1035457128, 370552302, 524496, 351377375, 161232263, 301639386, 646750309, 802894885, 4920147, 542446991, 633714961, 754398085, 467045340, 1051210270, 930424111, 287378576, 58167424, 1043546045, 216143801, 396153012, 1012395907, 863076680, 659179763, 155226490, 525323154, 1004029361, 617315639, 196935768, 877093619, 288844934, 455980455, 187361135, 824651473, 125732392, 295727321, 364276634, 273093859, 703094292, 151535138, 858047853, 851293284, 641038641, 688280392, 987504701, 963905821, 791102563, 147512746, 87549254, 701160399, 488356065, 458740419, 265829328, 371803853, 15373046, 953904727, 879004335, 812691340, 110297835, 369843295, 427958656, 705810944, 70904711, 930113556, 70824976, 1009774365, 633157045, 107693576, 613557741, 535674465, 170396249, 594527240, 722269916, 251868692, 573460161, 490640644, 348102536, 773629196, 485048281, 840619047, 996266278, 202231778, 1013215004, 791117779, 909181031, 103660911, 257564271, 937036260, 684394771, 798212030, 523028612, 753324913, 958550791, 39104974, 753377093, 1016492944, 737056269, 852390270, 846606143, 823825665, 880844766, 13395160, 349459054, 507988121, 621488595, 313621574, 664842994, 751856904, 237270502, 308471800, 347975426, 538560096, 1060253284, 754660851, 972124514, 904446501, 304995955, 1053642766, 843924427, 711343525, 939787010, 562384675, 9756298, 534371170, 673962904, 174506596, 58231005, 418262518, 684717956, 805580109, 264648842, 60690041, 183655093, 463659112, 78654928, 74585670, 314087296, 58234715, 570021311, 549015199, 418994839, 197333887, 50588925, 602141127, 114610044, 689293827, 4922283, 898357355, 566480540, 850880458, 509737065, 689091210, 342378598, 1015580706, 463547284, 448394528, 802860937, 283774842, 828312131, 972969053, 741099940, 342113619, 254105510, 338970248, 426158542, 411031654, 650067574, 992484540, 423591128, 114398187, 1071776648, 466634217, 699849526, 534129459, 1049486511, 858733335, 369280838, 984917520, 774920735, 293658460, 863320303, 402092002, 309748179, 100333164, 182621386, 656901118, 914597079, 872438392, 742956417, 822943580, 582577069, 28477401, 570385249, 412400602, 525613072, 244513910, 313056188, 485713075, 138203275, 972962101, 862107382, 910444456, 451329544, 328733314, 743700915, 954548166, 448941305, 279432730, 1058367739, 165825236, 842689382, 86562736, 82691180, 784732112, 935981742, 881439792, 708930875, 820667326, 583368464, 22619525, 71359800, 744387235, 747899649, 73808111, 499248760, 580420814, 767610997, 799024315, 1004782449, 807386857, 341630025, 36834688, 610069769, 874595337, 757276464, 805673161, 464675870, 856653613, 830703858, 963602066, 479187586, 514999894, 227994104, 589083143, 774798985, 406100488, 602729344, 978595827, 822363654, 398000615, 757147668, 544143093, 38558958, 267016659, 132788982, 64692427, 190230724, 203838819, 348091447, 672142361, 808675583, 272854253, 386474875, 404796056, 677600276, 90849797, 354264557, 177697286, 879781504, 439193341, 120541781, 729353327, 907575205, 869630377, 747372457, 650220177, 841920143, 275704550, 322588262, 691215711, 232155361, 858469120, 636005495, 433869160, 860162040, 582961442, 607101066, 907312437, 1067429910, 581934936, 36290938, 1061190418, 957336439, 82004807, 857691966, 297553106, 290179984, 304702750, 616809721, 322049185, 19647077, 1067385000, 545683284, 534289705, 312155442, 741950730, 404028321, 51845762, 208736603, 870821147, 132509215, 635404059, 363290921, 87091696, 689938526, 872666535, 848597187, 857992493, 1007676527, 1065533558, 624256716, 666465929, 500966119, 986166248, 922515548, 516714487, 830939741, 279182407, 370087163, 329970014, 102819177, 293269075, 208632275, 885296681, 644517531, 293081472, 397773811, 723963261, 104689352, 359606692, 925890375, 359362788, 227855729, 209046378, 95954404, 289131749, 427286979, 518079468, 117504865, 675954771, 879442039, 179408990, 746216854, 203427291, 233440191, 895380408, 545791860, 100857184, 69902501, 375682482, 489981666, 419919164, 716327212, 292779600, 137126439, 344736805, 744569753, 651280264, 313654669, 247083124, 184334463, 6138021, 871822954, 731016055, 1060447069, 377153348, 1004782171, 174054974, 516528100, 476669835, 81111256, 779670703, 946891876, 508746707, 371158673, 1718222, 641780898, 1020357001, 288674282, 345719788, 311408655, 985009701, 711411942, 384158162, 176494513, 598982584, 491725058, 744684732, 497364527, 17426886, 207798989, 962209644, 972864837, 684651865, 835736411, 1043309889, 970534045, 370608672, 976892930, 445621832, 960254751, 146766402, 193432728, 776852029, 810421996, 795728142, 527235896, 767542733, 392258245, 5250458, 855973437, 964900414, 915822320, 90293794, 979712709, 380831218, 1034068834, 841867922, 212620362, 101325265, 549852524, 560166487, 1036946365, 42582778, 968047464, 696916111, 363584501, 746211869, 700683227, 126125286, 117541451, 603401716, 1072581668, 97373878, 459019436, 384191583, 629704795, 613676441, 209200174, 89309159, 965188034, 84020813, 142855032, 392045275, 154489440, 488088844, 978129695, 552801760, 753024392, 176885430, 817196450, 601287183, 59614364, 764474424, 626921706, 68924063, 446635937, 324103189, 416458169, 1070220655, 186618237, 768784323, 788856517, 33259413, 433327816, 464408798, 1012827857, 470613202, 1003437261, 597959281, 322924160, 144760430, 238923239, 254561245, 851237373, 99373375, 288918131, 163036285, 32990251, 452897664, 130661582, 45436475, 609078909, 1020525824, 328001614, 976626078, 188987473, 418555219, 735455733, 304843066, 38265399, 948111856, 917130890, 494813144, 307570372, 951882524, 602093179, 470001921, 1047761578, 366049856, 715615814, 833989242, 590161889, 538370546, 796509728, 131017099, 147451521, 666026001, 656668019, 594690466, 786604557, 699323630, 834360350, 533958546, 149559831, 755513849, 396643449, 577564975, 595206408, 635288569, 281106102, 922020058, 625316395, 832017340, 434355269, 655783008, 1025537272, 580992720, 1070057096, 447171912, 464752711, 110223593, 509368599, 172718171, 1040539938, 1005772342, 1065929253, 834321725, 174271788, 839634166, 79430233, 143287515, 642813882, 418529860, 346638163, 618334454, 310274932, 83246364, 56890526, 98859601, 927238954, 451133845, 139249949, 80777114, 305852555, 814682299, 463280323, 564855193, 973685490, 249616127, 910760645, 837202535, 722757670, 93614657, 648485207, 656508911, 11492231, 428468597, 918465112, 431168793, 526167225, 672756085, 104184218, 803632041, 870749322, 863099310, 1067978284, 797712549, 466368540, 743121678, 569731927, 834573660, 670313271, 221522297, 792641362, 190682213, 281187849, 132389495, 683896630, 139278618, 1000336976, 104363914, 370204379, 978282108, 647969029, 280816382, 482325440, 905082281, 19957176, 735451362, 404259107, 929680963, 487001215, 934084149, 386844997, 82309000, 784237366, 437230813, 807107609, 1062917232, 507945317, 460221307, 677958110, 346794776, 111202900, 965839176, 87492123, 609435035, 893792893, 471236930, 450851801, 940153004, 676113690, 688681684, 154926026, 236895106, 448127871, 60775513, 52174411, 307594679, 941689898, 325387488, 351870908, 583704820, 742775077, 241779852, 19810108, 1007399226, 176922930, 982524850, 618452181, 305684597, 875792686, 478485761, 185297618, 815911244, 541356331, 714626996, 254989836, 828886615, 552344667, 699751714, 56127591, 683828228, 1004296398, 647123022, 847163094, 744801772, 326696002, 92041641, 846284800, 163672659, 330907378, 457740204, 91646765, 682757280, 658992, 724785586, 321513053, 627738790, 763986036, 618783851, 919417042, 639352048, 879397868, 505028513, 441211246, 94890895, 1052752309, 57229147, 1050546957, 778127152, 324988296, 54750624, 355618266, 214810170, 713824143, 10506870, 274288896, 300764948, 361659033, 1050458466, 807780428, 849980242, 104628666, 521685643, 295240928, 294574639, 89861634, 193478491, 263295431, 1005012138, 644563316, 707507439, 392311013, 947590208, 362401814, 996986905, 122945446, 353274145, 1036606994, 971817718, 402545927, 219021117, 903782245, 191688745, 639894674, 420364922, 447880761, 37759250, 177176200, 892468345, 633261570, 550076376, 418954877, 785516561, 1053567121, 124817832, 1288418, 867488410, 823381951, 349392398, 813816239, 799080517, 252194311, 998651212, 897680494, 1035174751, 920639102, 161786940, 904511137, 53904623, 990196010, 297575852, 50513418, 281191643, 429671355, 102682862, 754963242, 669492640, 898621348, 318398455, 734152764, 226728881, 855093261, 857663862, 388725272, 379279589, 770560582, 911185261, 373263689, 184598290, 927120793, 467931623, 100394463, 426072179, 424227156, 597181284, 1014041820, 106751561, 974449831, 257116155, 7106087, 250617445, 1057456057, 790999352, 805877968, 429071995, 86416848, 157623975, 617656197, 774221603, 912722778, 664657626, 620592586, 443806211, 224056549, 457159367, 694014073, 743431721, 933266083, 829430735, 811815183, 496891123, 49199707, 493011508, 751354931, 380311091, 485884741, 972862572, 77848356, 1028649638, 529019251, 863230585, 590109645, 813986911, 686494719, 824257122, 1024894593, 862686984, 353065043, 849457017, 458408700, 69686827, 308324145, 313127890, 9930397, 231425564, 1960063, 344798660, 563311310, 266882664, 919988526, 120962377, 378945856, 893201274, 800407517, 563836058, 247079015, 629863341, 117580052, 1000074189, 763700237, 419584386, 26694557, 978204316, 1003347247, 71283989, 869156046, 14186746, 820849084, 595362492, 564039833, 600611373, 657112916, 276041056, 586247930, 73307126, 71171101, 962090505, 702254318, 868251934, 117702860, 65388313, 924998989, 382335116, 138249514, 111102579, 449189079, 512827832, 938414957, 866549647, 473394955, 674886585, 36382540, 798846326, 43459880, 115945223, 254316484, 389174414, 783517655, 260036255, 872855927, 170126479, 8076026, 267389578, 389203971, 886896362, 51389332, 49486766, 853998788, 904372388, 1206228, 697736236, 54834552, 265901268, 451147959, 934519669, 969314573, 918195167, 756338904, 468102263, 1002518382, 349073344, 168936909, 128095276, 210180540, 976996101, 478194587, 996147613, 902348886, 647193394, 478145214, 690506828, 441808768, 165856544, 335408421, 43778587, 636768895, 1004807116, 293483704, 405930844, 163542877, 706276030, 878562894, 701640570, 921065749, 747731838, 455993055, 785614117, 29086105, 717959690, 972033870, 323112373, 28782508, 280047155, 387831474, 826364279, 776430923, 160517093, 759788102, 648872331, 606664732, 1020802065, 639398911, 54217418, 377454513, 313400587, 1066987936, 641014523, 939728407, 155253043, 674506558, 126572065, 782661790, 909783127, 280910393, 7757099, 127009608, 752547562, 895234626, 203503971, 554270860, 512645317, 237529970, 836162486, 955986131, 768135460, 203277199, 42141873, 329045400, 599105924, 288942434, 398038303, 440708071, 886502787, 198097438, 567091451, 1006092029, 308711127, 397036955, 432542502, 905524768, 44588163, 871999490, 94778116, 863259205, 550382252, 59688615, 718532648, 311244983, 965539005, 190260246, 270211844, 806260736, 154055826, 145037932, 560970581, 725172207, 662720007, 532426099, 720063875, 785991608, 21716372, 697643940, 218171159, 1067115757, 624787324, 545626120, 356026580, 904102165, 65287122, 756575152, 43200750, 798135343, 504359015, 775923976, 23207002, 26246488, 466343116, 407387738, 322614051, 939094786, 477917000, 191751229, 1070829322, 412350806, 378708667, 519559167, 264820739, 574191917, 906837171, 1016639710, 764956549, 225510878, 104650697, 519824501, 920180282, 491625400, 380883367, 269748113, 873903414, 897614745, 356978179, 691332587, 553899779, 741102175, 87655246, 452101763, 10257021, 414271692, 957564884, 713054421, 402402271, 224250640, 658839955, 1033907762, 955731484, 110887456, 475356717, 601543767, 781914791, 893912271, 863890851, 714204730, 90713293, 891861474, 589364133, 390856858, 17899751, 133416430, 149538118, 650306571, 561355865, 590523723, 762663021, 115767585, 16766780, 400071755, 193047402, 784691024, 455902242, 1027691715, 65458077, 54093575, 71087768, 322294619, 63217119, 797554434, 563906751, 530238150, 863583901, 583499038, 435010934, 305702438, 561130311, 811078018, 2639673, 952376362, 929120234, 632226850, 21260440, 505505374, 914364774, 166242078, 74103921, 97197039, 205073704, 972033504, 944518270, 72924985, 379361445, 218893877, 1028411882, 949720736, 421783522, 445219247, 537593854, 651172356, 48706480, 635945222, 217688728, 365231008, 30918515, 161165560, 851479175, 446084002, 655955847, 374526879, 827271170, 59801094, 346355333, 148667829, 1005950620, 619401544, 748875010, 988775761, 699148373, 986122604, 76860287, 822655523, 291863282, 160336525, 796942986, 398632911, 53997840, 396488184, 581681382, 45968096, 264394585, 946187552, 1060024360, 1036218498, 554605770, 323149934, 841322374, 648132165, 460597967, 1061529181, 220131522, 801584728, 659191355, 214981167, 478170648, 588127296, 289116647, 1024092841, 844136544, 884525697, 380968863, 980166066, 159994227, 260589684, 803144311, 978719455, 916000845, 515757197, 5462447, 751137587, 353265068, 183014001, 382617419, 513810568, 900910226, 857641892, 56550591, 187068379, 202240351, 292851702, 115120852, 819403877, 52397294, 885109249, 881335958, 628842623, 385961776, 635041491, 695318083, 445955757, 759332509, 928729382, 1029527165, 555683971, 47154578, 343817607, 46668373, 758190815, 555576267, 1064014539, 324949887, 542574163, 331660037, 1072467585, 136554439, 634548420, 240092751, 782452868, 566222949, 599654637, 333374449, 502455795, 784955515, 596721184, 965381308, 621401133, 896622634, 195497953, 629055419, 840176004, 211745341, 637411182, 288260171, 183487564, 248677241, 336572999, 278602988, 714113326, 264323635, 1065621918, 365521726, 795007877, 389565799, 332556577, 555825535, 323336825, 593048727, 422902379, 435090662, 332439104, 477115615, 293884798, 212616917, 861164508, 862046886, 928710996, 36071946, 133247642, 377665701, 609345243, 866455580, 155439534, 97106282, 676139147, 403559034, 444463549, 652911075, 659291857, 788474951, 744775652, 403663301, 945049771, 57876589, 241522102, 1020220799, 1071145704, 464936551, 673238562, 818585251, 826507377, 418662700, 60051568, 813315748, 398743019, 177008467, 992618487, 945097659, 900099277, 286445530, 710453373, 130479401, 125871958, 62951612, 271970237, 1021948591, 426775351, 358627189, 927141540, 93726114, 83433736, 189705453, 924920507, 935083179, 227618696, 8273546, 145067293, 833277861, 753806898, 173986515, 678944447, 920309541, 920602576, 425737042, 476941337, 853201597, 963040589, 367665416, 157547502, 272625710, 373182150, 917886748, 75446511, 138280745, 645272478, 622865216, 437891998, 372337984, 137670550, 493178948, 316426113, 313207188, 491445681, 392449764, 947038933, 550784144, 932005837, 76247929, 62346381, 411675428, 636997323, 519746009, 717531649, 251911039, 907223598, 906596650, 288955485, 561369424, 435507017, 656103824, 646994479, 861582420, 76945157, 756695712, 754200137, 254406318, 270916488, 974091308, 40815862, 474676413, 1025625482, 414155046, 236049104, 739394310, 292795720, 308821809, 284403316, 398897678, 172346083, 742496411, 522606732, 853863094, 253604924, 236760367, 596340639, 393701312, 854197225, 1033608795, 267308769, 775403037, 125873056, 202664252, 227947170, 376997041, 509678969, 668873282, 765537195, 774209147, 1020839065, 692483471, 306100754, 585455072, 398071340, 153142281, 379481004, 903780771, 394074939, 760490345, 511982006, 1073600756, 198329210, 459248584, 503385927, 526477686, 117423724, 72482153, 179663985, 832882881, 340988268, 129483745, 270975555, 773861781, 449158085, 738691000, 306789619, 626920877, 314674958, 137819835, 758869082, 571906519, 230542899, 841258525, 219573052, 284738592, 475167410, 816380247, 335848116, 850934808, 341986285, 837897654, 575829833, 532359011, 1008574270, 704332865, 817194605, 173337219, 980041758, 529475853, 1018422404, 1072686924, 910836516, 161008065, 216199677, 1048359064, 662679006, 715625068, 329795001, 233609233, 355627274, 359323526, 1047966841, 465234618, 295895789, 925903228, 541168683, 807226944, 114545727, 78585258, 304181815, 58273541, 321122923, 71390329, 391640097, 585840957, 398021914, 990639829, 932241781, 807463010, 4139179, 695278113, 48658307, 1030599304, 317806320, 18407113, 437869590, 118226130, 324781483, 975541505, 497190258, 204834000, 350271498, 945918289, 180307300, 391745778, 843862101, 894377640, 494679918, 380265865, 528496294, 767116449, 788132540, 244776937, 664411082, 743276623, 1009893387, 864979898, 129146381, 519723823, 623434809, 688517000, 13916210, 104290450, 745965441, 1069642153, 506700321, 816666065, 474112606, 155389067, 532410580, 18841584, 238284995, 185967018, 417517835, 421514588, 382506167, 658950270, 716478110, 760376293, 157838356, 462615398, 599819175, 721687270, 911967425, 338422059, 348745509, 351574707, 431245433, 42534499, 51462578, 906580663, 493885891, 946507528, 956186960, 4254989, 919455213, 265218400, 975211693, 172952566, 573662050, 50141413, 1067663092, 169301330, 3634564, 451618381, 942202078, 1028788637, 518640783, 617072878, 419671199, 683352691, 421857465, 130896279, 538340675, 218470509, 626250176, 260014076, 41366424, 252998454, 521130704, 1014993228, 129785707, 642520930, 730094787, 1035224508, 280237064, 818304173, 601845090, 971006528, 673922958, 42711303, 165451197, 183350564, 897127233, 558927214, 928085344, 67137345, 532394815, 327235609, 473368425, 967133573, 681531566, 366133614, 523039288, 867677179, 96775602, 97693804, 247963780, 115329990, 833618386, 458815442, 589928854, 708188845, 993452890, 629500246, 546909006, 875349604, 300964163, 999347944, 476760534, 399664873, 107548646, 266816242, 47739336, 296256168, 664458810, 882866841, 276192757, 799784880, 599273252, 497316933, 113331052, 158322002, 512874054, 353577069, 726932976, 426262805, 406006327, 833287886, 209930884, 437631266, 551863223, 589440845, 151510232, 794491667, 219060010, 740857061, 975625883, 448715882, 51798719, 119791796, 485708478, 571167372, 171825535, 619901613, 949292614, 920103054, 1052797989, 400842143, 845214611, 397510751, 148757546, 946768266, 826558105, 704527521, 979444587, 776656666, 646310684, 730347394, 543666771, 912650453, 981454378, 203241941, 489419886, 826712797, 738577470, 930244366, 510778682, 678322359, 704815531, 691401759, 524030009, 238604584, 504859511, 203599754, 13571204, 616540857, 103889292, 653527139, 473178215, 711828134, 296193530, 688080334, 419466583, 939532449, 681261032, 933894994, 437780511, 906725118, 679073877, 650244244, 59451925, 41462684, 78839222, 852114509, 75599968, 74761956, 326795301, 284658093, 807929329, 839995345, 817601079, 5653367, 680193783, 464036256, 813465378, 975593435, 478423211, 986169317, 179648483, 1057678656, 906760465, 683614478, 251036856, 1030597099, 903303157, 307197483, 882929398, 411076560, 427134148, 96399633, 820908405, 570432431, 754349886, 746409281, 186167515, 1055535092, 448083719, 421229294, 157091619, 810684310, 588392755, 708037288, 548416457, 901653627, 132330826, 161402481, 437026114, 720625740, 304572506, 988205690, 880744578, 692835451, 1012412241, 886896261, 658664491, 261885987, 400975103, 796496436, 702588866, 527820650, 431212540, 743389495, 289267336, 1068355511, 825491043, 620031009, 358017162, 1073665381, 643331268, 733684620, 315987095, 734594264, 450747190, 812941206, 299732381, 684075662, 905366534, 523520762, 725990661, 1031289705, 778399136, 182824187, 879644169, 50496119, 928042554, 346491014, 198475526, 868264380, 871463440, 350614528, 318063790, 284519402, 746367232, 417005450, 224879935, 573611409, 675178795, 310110299, 979306734, 659619709, 641448155, 38405462, 52155096, 900705058, 990362270, 871298113, 308861421, 567024646, 411585042, 67455566, 622165517, 851638627, 956781332, 348833167, 807147561, 207856287, 619401409, 452495341, 360372305, 1058356592, 559722430, 703951906, 771252037, 434071459, 579787423, 58528411, 220891553, 164765602, 371257246, 1008283243, 625847390, 1048598757, 822581709, 841354679, 859943348, 736086335, 359151584, 722403324, 1051886645, 447060046, 978153009, 882901717, 398430466, 896261144, 764276283, 462116528, 845302794, 978546257, 1071514345, 60377650, 321402076, 439147717, 728093132, 959206630, 871742853, 711797320, 430883196, 974730274, 972924046, 282012519, 1051739308, 612623040, 217832338, 246244182, 783755777, 693408128, 1070343545, 413021098, 457061753, 877162370, 832796026, 330576506, 401366085, 1059151720, 182282696, 635274626, 775604191, 823544635, 25311868, 631778170, 483984143, 53735205, 282137903, 758025513, 782759731, 782941508, 557795273, 922524703, 796547699, 974121857, 608215724, 782493315, 389976314, 435850552, 286719976, 60656023, 208013262, 504942339, 723164971, 150322659, 620304563, 765839889, 558113147, 162549636, 383667900, 474779080, 362031752, 136736648, 1065382722, 1073444973, 225062091, 190616645, 789678125, 90498550, 1018306849, 242801114, 368315868, 208400038, 798494099, 435592169, 752208952, 579683606, 76787731, 986289813, 844661594, 295337145, 214046584, 733708384, 124550534, 804031615, 677690042, 997115746, 394909334, 21783052, 540281772, 25567972, 868449966, 790961105, 901793486, 669400665, 1054889766, 281367979, 136587120, 7874864, 788379290, 568945424, 638327713, 590226648, 799381917, 575230463, 312714058, 309927135, 288215631, 703908245, 793562014, 302961840, 974211308, 687462380, 376732619, 585839511, 568760235, 393565236, 478958223, 750092770, 754541239, 616301063, 577312607, 782241271, 815194679, 597783998, 72365080, 567719970, 487307512, 514502817, 249351632, 625612022, 73749473, 975313857, 658878678, 529346206, 306033924, 643025936, 333481414, 197369125, 22011113, 349459256, 57660717, 378052190, 1040370869, 853605535, 586616639, 731163954, 253666037, 14160686, 320475344, 681550428, 247127434, 725440685, 183907655, 270923447, 1055420305, 1052827110, 43613127, 490812347, 618264556, 801451325, 390582522, 639455997, 743356783, 633499559, 1013879996, 113651707, 115819556, 768807588, 471327805, 1014409349, 305233016, 137766213, 146555849, 162053735, 416485438, 474558094, 1044823676, 264130648, 842375988, 999017117, 39489737, 511922134, 3649385, 461056247, 923277517, 661455428, 157033844, 230466729, 156158955, 425247132, 219711018, 479533492, 374023196, 571837009, 950951558, 449868520, 322870057, 178424700, 625306609, 108783494, 117143100, 974666532, 832192514, 65374432, 60112295, 603573048, 115824016, 20156196, 781287981, 488910369, 476080808, 864781225, 370071415, 694758164, 914717196, 258292205, 109358914, 483409429, 615661591, 261886112, 657250807, 347726931, 484906050, 320213457, 84021455, 116079410, 1042487787, 655051426, 463977317, 513573605, 122475748, 652101890, 610080292, 389595591, 552291209, 404134382, 803237297, 317898842, 522664185, 831536590, 129550651, 512999550, 522991072, 980693265, 825367083, 313431919, 204573835, 589327986, 927777324, 515581050, 728119388, 68123729, 933454852, 224421041, 922610741, 454759209, 804213208, 220750098, 696623633, 276155084, 694104068, 816500895, 966408247, 505449544, 85917963, 22799147, 792218053, 467983303, 994542236, 864850394, 1003323913, 902395462, 236130672, 565396835, 934097359, 32393418, 936568002, 344896311, 91359569, 595967845, 370486730, 78188253, 147987147, 1028229507, 441064102, 269730642, 702601686, 26788364, 483217226, 531787095, 626603297, 886669770, 643031442, 742255841, 476400703, 452549674, 258707511, 271416354, 463689622, 353054085, 667404100, 365006560, 654778174, 351257102, 258109122, 70882041, 901930294, 722155815, 933670625, 686843235, 674094063, 365115881, 806238914, 672499071, 13663493, 837123084, 562749689, 1068070758, 749302128, 75323589, 713505766, 976781801, 313344848, 244029213, 754105446, 1022725307, 433187775, 660379614, 795843054, 298227040, 543073595, 597353749, 848508134, 1008708163, 838482812, 632467812, 183753278, 101283756, 82967346, 903448834, 692295786, 926217769, 424210447, 711410286, 414737181, 158317737, 181172444, 176800542, 205849741, 345939181, 337658432, 1053085253, 897481758, 977468893, 331887832, 434688196, 998732189, 523884582, 496715487, 641358857, 754649990, 409197083, 233235293, 124440047, 357741973, 837619525, 460874143, 987798079, 239336679, 724621402, 896666055, 361505068, 22314572, 891257756, 549040735, 871507864, 768223791, 784570324, 279039617, 515152713, 612003626, 266581095, 435011278, 569806877, 878635537, 372784748, 410630557, 797630014, 393605152, 498162851, 868720565, 679029216, 134430655, 685830951, 277927849, 157552290, 667334974, 129888975, 761014281, 741892608, 54546453, 3254546, 414577875, 591200636, 718402292, 613056115, 420332533, 977537044, 141348432, 48892391, 973301700, 818347959, 467227138, 840579595, 951711356, 624314369, 428850849, 641133107, 991356763, 196358141, 573787549, 56087394, 243984974, 910664487, 477308934, 565283652, 1071988565, 746029637, 1047802887, 793653540, 917092890, 142171010, 369831218, 741830776, 634109818, 290462745, 637872926, 1016297387, 120114320, 748881225, 224101619, 906791170, 599757294, 542784676, 454820298, 110519950, 737617243, 909829204, 427234540, 425156789, 328119332, 837288686, 279140631, 549704706, 384094759, 34056197, 586868316, 952885761, 513278491, 44993247, 776516941, 165658267, 641823886, 452216843, 226515993, 139915582, 962006140, 560039980, 851766778, 512025714, 218523995, 695341183, 438298551, 1031289243, 603384030, 274179030, 638249491, 540206384, 380097369, 835722249, 17936230, 895454838, 742877761, 900964865, 524063320, 498281052, 959835447, 224992232, 984934253, 201872018, 736745072, 933136739, 196750169, 79223445, 359416040, 57597532, 11903220, 408266733, 778394453, 866325413, 295346909, 258064144, 580214530, 1036842062, 1052890519, 575447990, 992214782, 434366872, 484059966, 713679418, 805609971, 272728712, 403678266, 386302930, 840057303, 1060239218, 658653641, 453190439, 325295280, 474465712, 740392491, 250735791, 47061599, 76821354, 812657303, 746870461, 35873686, 870527447, 365453767, 769013777, 779473361, 942056823, 391300069, 792564954, 1051817067, 514121505, 32291607, 757489359, 653233715, 803692801, 258931752, 186379459, 871048416, 351605926, 849665672, 258826600, 1066805620, 734821829, 90318106, 545074251, 291273666, 391264365, 741371207, 572817902, 614367458, 551249397, 148263705, 340409731, 639394080, 581753106, 514484110, 17922215, 1051238094, 539465249, 973056403, 735842913, 245197947, 504086986, 45382702, 696340396, 98050202, 569400726, 806426497, 350504002, 804609757, 1043661791, 91340185, 443916799, 535930638, 275404696, 916437825, 138092489, 547548612, 427527046, 44988555, 297025015, 885606522, 160438666, 252746722, 598453035, 548451393, 945206679, 1052534586, 768065675, 874941466, 788076724, 1033853968, 855560457, 65120924, 277816975, 99570779, 901101233, 856725340, 882960539, 706021007, 737289977, 291107919, 917121610, 623713196, 259890041, 478931880, 162612470, 200833352, 28011484, 933743645, 328328463, 1007878396, 560570059, 962960614, 651378432, 612541463, 132608557, 1029787355, 118895071, 641875514, 822039444, 284398111, 497702141, 1029224113, 1056334391, 78065091, 680631325, 973443288, 356898583, 653285924, 879100731, 37224475, 114939689, 1001899611, 730452441, 980035245, 1002574856, 794958670, 524718979, 162818917, 141481695, 637869212, 175010463, 105337906, 721403910, 875338659, 334697398, 433351033, 925429127, 659857164, 835320951, 99290826, 739312684, 657698899, 68901372, 94294774, 14346457, 573392812, 13957375, 720590568, 138978138, 739158491, 461659750, 191947431, 424872097, 889252634, 697251181, 139138613, 723654673, 67340707, 770837242, 591229663, 864094154, 664753559, 592179799, 832414881, 679278919, 192805592, 526506364, 346267826, 712300563, 376561327, 594964517, 304074737, 439121860, 414753247, 149874789, 656852797, 389296940, 463695027, 38893966, 650401895, 916356302, 717899223, 1021687315, 845608354, 810332025, 1040739997, 506978385, 591805748, 708702818, 628640851, 1012424342, 890144175, 614083902, 964539359, 1021424149, 45396364, 996561753, 639009881, 367618642, 445392454, 528383573, 885596489, 552600984, 678449632, 922165108, 857144115, 270560667, 461228783, 195238598, 459166731, 798037209, 923063027, 867877519, 393857126, 361127756, 618477677, 296777629, 191225970, 326833583, 821038221, 709730407, 83623547, 149676881, 201911529, 137879660, 115655231, 588371267, 110004871, 938945563, 597067855, 702579217, 897822426, 520930584, 175246394, 620280217, 752139618, 869264214, 555998467, 712645064, 74094529, 48842328, 639641225, 361640539, 1065375872, 500316767, 682135343, 508485204, 620436142, 113978818, 757087838, 535740964, 837112065, 180622778, 606912293, 870192477, 77638331, 619180493, 765818102, 377151062, 586037955, 904391770, 61961797, 213827725, 708606730, 103114308, 656889753, 705011864, 314053961, 790425027, 287144888, 532004038, 715726828, 252658764, 28782909, 947551544, 84297219, 267586434, 446796178, 260568396, 622742231, 1062827180, 1045800698, 652295008, 983752061, 1052758779, 934099786, 862906886, 1039312468, 692035381, 476154923, 529254709, 937993521, 948680491, 329417379, 521649245, 115200528, 596221966, 100357118, 305776559, 448263979, 984508989, 672291570, 206014554, 642664591, 991371, 860033859, 508773967, 927437492, 751989638, 64682873, 559667817, 808849133, 365354120, 903049449, 453965522, 15853793, 56317217, 926777773, 184253207, 288804131, 166349060, 432340163, 68296227, 121236437, 305300208, 420803578, 1032466891, 162476946, 923635178, 943040072, 804701521, 134848539, 338047470, 108881768, 606770431, 961482545, 648797055, 697751251, 1017354870, 701861908, 1553480, 334152201, 1021971793, 415864242, 498537840, 546154838, 853501995, 401462223, 323678176, 690051036, 1047183876, 59589413, 117861103, 1043512228, 281638933, 1061625599, 325745100, 627567437, 1018861264, 579997729, 558980491, 839716187, 1072031499, 733805880, 387896238, 443592284, 211221837, 256155733, 186201976, 744796307, 196668084, 352996182, 705494984, 502346403, 442229200, 663687698, 659522096, 251504458, 158813528, 103289418, 366518564, 194609598, 616133710, 254818156, 876934845, 750316078, 856088219, 396553277, 562785298, 52705025, 617919898, 399772442, 493081268, 916681508, 133164637, 288815257, 861047561, 261740733, 717719566, 619213208, 556127915, 783860768, 366294699, 114033863, 973284408, 747245116, 623533253, 285173766, 552199390, 694075224, 858276483, 206250068, 1065580862, 559746804, 291608757, 138387803, 620095224, 651765192, 830094089, 793116858, 935904455, 603217557, 633747425, 125541952, 31156698, 261469146, 435120038, 281295153, 582670563, 1030562834, 752273361, 515540419, 957643852, 798843845, 427313625, 43860792, 124793608, 665552593, 1034977936, 115255468, 987036968, 119453226, 427037136, 108139007, 670067277, 47032741, 368277340, 233649473, 544292004, 689677332, 921911564, 930660386, 254943373, 985057209, 730681427, 43055262, 29990613, 929873983, 200791036, 430851203, 491239336, 952313231, 701256569, 1047845966, 927114448, 76084579, 674198555, 212251616, 480993686, 110978978, 112428403, 765011603, 856611991, 950590606, 238479265, 648360641, 1048523850, 124534490, 493551129, 929614987, 613342522, 894462328, 558214336, 264919532, 527489690, 370911341, 304618764, 759122240, 586773723, 582576725, 1047006201, 243525541, 483536102, 771039562, 38125214, 401434134, 789247109, 894711432, 878814703, 898422185, 87781253, 605047902, 1052750149, 179064514, 80451734, 993623259, 342017524, 1053940686, 324429260, 952294989, 23618399, 1030465683, 617983259, 419623105, 86746289, 625961419, 331288051, 214426577, 1065988129, 655469555, 74459888, 576521520, 707336445, 660398696, 709121674, 57087008, 472308677, 320988619, 580103577, 1058655046, 447046135, 26922885, 204905708, 824024271, 25089454, 443547780, 782293959, 791415836, 379082723, 286336136, 634181572, 193399144, 374900772, 638545076, 719358261, 144466785, 661433691, 624358010, 958227647, 871170126, 661932187, 618332250, 567467840, 844464909, 561931176, 974071145, 465689319, 647222316, 1001588277, 1030099557, 454151454, 118491621, 262777982, 590896440, 312681950, 117721065, 395003285, 571790406, 637031639, 147263886, 863395836, 309921464, 294392479, 841713558, 1057038191, 1066814229, 928014812, 220872853, 994792008, 220669302, 434976524, 39288128, 81434681, 669574437, 393193503, 556735311, 459958670, 998767010, 841289531, 1035759161, 273437244, 139737220, 558255510, 611500974, 910673207, 518806084, 46934152, 481705166, 269411852, 361998489, 832021802, 1047944588, 859776408, 1026407419, 984814740, 946650205, 1027331719, 897451264, 410813342, 206294786, 193901861, 1035089505, 655464560, 727061926, 90945117, 558091194, 660541249, 288792494, 861475299, 955291677, 13204930, 145029717, 530394796, 329260848, 612276441, 592963954, 24814667, 230150732, 761972723, 831686967, 867360069, 581877712, 494801898, 776888299, 999616349, 589942532, 587651803, 903443309, 90211423, 852465768, 749165697, 103871428, 676415422, 139615383, 923042120, 1058811228, 1057731438, 565174854, 575727436, 702907028, 291873286, 121244798, 361418300, 913864957, 692517267, 390982411, 229618817, 894914548, 394918028, 908544623, 128647643, 37177771, 722455142, 359304048, 135647826, 668119073, 718216297, 167227674, 348588321, 308797728, 130626629, 969228265, 70283110, 218574359, 482503544, 664814401, 544913204, 840580236, 203357285, 24595812, 821692339, 180650514, 597693542, 495978760, 946635779, 397646750, 604373308, 965786282, 356027229, 781914640, 502930505, 675295007, 817982674, 754510245, 767176549, 193987186, 840756062, 174916758, 280712361, 167788438, 495823941, 216973911, 719480435, 896197356, 992450725, 24390797, 419433508, 466440979, 736560868, 623992862, 819953867, 664309474, 454500881, 756192694, 32812677, 741185393, 33078321, 902934909, 328762552, 145199259, 874547890, 1052370659, 706337872, 670265044, 1047987042, 145174869, 1029536832, 198166282, 624105698, 535350695, 742991369, 64605421, 749425202, 60383394, 730413904, 653232232, 51739257, 411204193, 91759623, 272557809, 179908432, 770345113, 356718038, 731328671, 554350039, 179931671, 236880927, 205853805, 21213783, 548102137, 806779855, 893025077, 266319463, 75131963, 331506724, 87704253, 618023253, 536209103, 101747879, 840280829, 963368027, 437533485, 320173926, 1030773773, 402031803, 592438827, 62044265, 647295775, 928627618, 1038777971, 444661505, 809382265, 427075463, 101260041, 959235550, 1018447256, 581589943, 243042999, 938506250, 272067784, 878408099, 695061874, 962744551, 163393303, 993223282, 871875135, 79260653, 905974479, 877189934, 524479720, 242893538, 45171250, 16760252, 968866487, 481129504, 189668110, 738236602, 325197109, 767518331, 467888166, 352503302, 204973344, 333683158, 797119132, 919889419, 146425396, 33807460, 726837057, 55854142, 427552105, 912257751, 737213560, 538401848, 1036637229, 1067875052, 959534267, 28188654, 101677935, 749299100, 42867485, 873979023, 41627544, 116208868, 65857851, 274031351, 560653459, 484958204, 63815641, 575114660, 569292171, 689318412, 320702753, 687849652, 257179999, 1043242386, 822744048, 343424910, 988092587, 397742329, 116520382, 155422218, 43408632, 325241195, 505285383, 660223829, 194587711, 67286697, 528163885, 616168604, 8337737, 331600093, 71333908, 362653878, 385802152, 66020936, 514408951, 179938978, 208193319, 902600398, 357757737, 866096866, 714980618, 748832552, 532614811, 392877501, 549387994, 749213648, 6358017, 434841893, 799550212, 430058219, 911152554, 147194846, 316273818, 963522338, 818107894, 845005280, 650073152, 440468677, 764139766, 1010510583, 859018019, 1006185788, 230271364, 208315317, 891667990, 465443431, 702682311, 943489072, 32584745, 1010760168, 879263499, 500803022, 328586870, 768471043, 405911981, 849024694, 844033837, 252066524, 555567280, 118078628, 623971533, 317323335, 820983867, 514367675, 741106030, 521296063, 447816431, 535973952, 47419690, 640230645, 204400904, 623110734, 40778556, 245892059, 646270005, 63911068, 179822874, 688686114, 128647478, 743957072, 415623216, 14027431, 598786292, 422972027, 667897281, 296427906, 675320793, 604977490, 781166902, 608068407, 101887248, 720658336, 855747705, 591763002, 98326602, 130171783, 11212233, 620163570, 802668031, 954401494, 3095955, 1060902940, 93625557, 740664139, 756764903, 1055571871, 976851725, 757377995, 104973037, 451480991, 197886513, 296847512, 617025655, 942062365, 857981092, 763451668, 1030178260, 701217837, 207638253, 60856368, 1065889892, 956996008, 234558877, 257150548, 654808485, 374649214, 1070471452, 972132478, 799655859, 784444730, 76798555, 1036672281, 544439862, 18838596, 909750281, 287448102, 258852536, 640022888, 671687254, 717076126, 91368581, 52177976, 373201787, 887293425, 447548464, 864667748, 219449547, 1028633694, 925888131, 77004842, 49646702, 21255495, 236947607, 522657709, 732582711, 539746780, 140207480, 836623724, 887519478, 498682243, 1016719863, 657409366, 482628836, 897489643, 740063242, 719926005, 800098858, 91573913, 435768079, 1019474059, 965435858, 533576470, 948206377, 914962835, 951261569, 234600240, 756167071, 660581436, 125825779, 305571936, 86851342, 326551762, 563291780, 780839213, 54793504, 259010384, 416527864, 171700130, 209476329, 759820134, 983844513, 178947528, 245035731, 506539641, 244087391, 1014220649, 847900095, 665134642, 650938188, 254905874, 88312044, 62439195, 19608882, 225123691, 888409942, 882834058, 666138430, 1071991161, 6697102, 508215631, 746004856, 231760307, 472109973, 526274858, 581577502, 256357937, 917879012, 604483614, 1069132991, 717499901, 771711176, 729350308, 115458178, 98423331, 858357427, 795363858, 1070699284, 338212858, 631955954, 994838408, 627477262, 657496036, 697131361, 827153226, 441710106, 351874950, 343438495, 1065130816, 195798835, 425331022, 209805267, 157040488, 495361289, 771953661, 382136235, 137515460, 1011917989, 808529300, 889077408, 355876877, 580442133, 22630211, 508913784, 305519694, 269127658, 104028217, 347046495, 795904487, 539843017, 447813030, 598022305, 444725935, 852574851, 240828692, 287749014, 215042747, 110315027, 278563397, 414883897, 937407499, 585656500, 200460974, 607385731, 839613421, 731494815, 362182632, 409560016, 291910844, 752122546, 873793552, 563002089, 552096457, 469154558, 764226548, 952544370, 938761411, 980154295, 1051229870, 902374521, 568503887, 303120579, 965327660, 325662466, 870587466, 384867078, 613996670, 59038048, 799303759, 276629704, 400462693, 733341953, 559152492, 594933448, 342523876, 766828090, 779406492, 123837290, 1022524858, 404490756, 734419069, 789394303, 374616894, 825619812, 1004498427, 810642221, 951294793, 743136741, 417416725, 449720935, 939094563, 359036982, 318171844, 237085061, 547067898, 259797526, 944939662, 409559139, 987357920, 114261035, 1023533166, 477808249, 861765434, 294034197, 110443864, 5444822, 373369663, 958327776, 387006520, 660233232, 235374393, 417284887, 59788122, 691863947, 1005659231, 307235333, 453853624, 536996261, 204537325, 226788154, 1065397727, 895166250, 66003615, 938541246, 193489213, 78316146, 413400065, 690095156, 610086498, 453600351, 581382302, 1001955412, 710212055, 107463504, 119789729, 433695597, 1031351354, 527607214, 724151364, 732897183, 377725118, 412054718, 471418096, 683491979, 362886985, 788568215, 414121844, 585500429, 129109621, 474211621, 740794464, 696700514, 350731636, 43268276, 706057291, 665788457, 361088912, 128293589, 666425692, 579747248, 351338893, 923731474, 616054150, 132975329, 588147068, 678853755, 993794578, 979165686, 220951603, 886331757, 785050140, 466196440, 605433957, 473408155, 6458464, 430697760, 610042349, 820092189, 85730382, 966529889, 272082378, 261432359, 771195316, 156796094, 393728640, 648389976, 135241187, 677203712, 64910295, 367856493, 911729435, 628116611, 401598179, 63187150, 23865571, 465348969, 243299977, 1067063409, 915324665, 1023689563, 260512467, 436425636, 779700279, 143087763, 716121735, 960414898, 341585470, 411567346, 1008216408, 931974961, 635914064, 317061446, 495186806, 1055300985, 854042186, 525036831, 805384192, 15086711, 700839866, 1004325197, 739149011, 667836874, 228999805, 451064660, 97303371, 237828822, 287854335, 788125340, 37726437, 882992725, 247776219, 672374479, 602842744, 522535146, 36312351, 427823486, 957279843, 354105345, 290056224, 161390765, 503880526, 158175472, 462678393, 1419946, 857905246, 8921753, 25093677, 350083704, 1065997690, 730710694, 253566963, 682184746, 384665743, 426516907, 541600329, 961325856, 275199871, 394192769, 1040267113, 186474336, 526959718, 577876282, 1011800526, 334872142, 519791672, 465847733, 231220867, 412050070, 307140762, 414267951, 902131321, 382709602, 1044161684, 929983264, 464911199, 1027420261, 152633444, 941406406, 900555499, 375741091, 749365584, 204726892, 763471817, 906318645, 250354716, 634620085, 592574658, 291531433, 137779513, 247849575, 548547466, 980212220, 994873327, 466257338, 259380742, 44696808, 532606474, 92902904, 984501374, 274994760, 410567481, 884451672, 108309276, 703062465, 22660326, 22531037, 423346230, 573631383, 648970794, 402805765, 49003316, 808703706, 381085708, 54528526, 170915249, 559400519, 1009800131, 606512474, 510364275, 608054863, 341650174, 1031112344, 982374137, 967137480, 1056711593, 268583202, 163559782, 420162322, 881421307, 665444002, 267311954, 694906585, 635494612, 712971372, 813079887, 221896825, 329746548, 755524738, 275701664, 865231056, 895786167, 554500778, 160061654, 812997908, 988601630, 978485656, 635698849, 526439411, 441131797, 955736824, 683695262, 114953765, 58626493, 1007323911, 705287599, 399478253, 685946380, 487621365, 10585439, 409774242, 762792013, 589705095, 106645509, 676558568, 1038545552, 444693129, 1042551888, 50596178, 1049937926, 732136006, 408798498, 507161643, 690756518, 6185063, 225279939, 554122290, 947238240, 445311170, 50021811, 267069879, 15573038, 451912078, 845556417, 407645237, 864010212, 289648864, 165843118, 644383101, 424639970, 191114667, 721278336, 580202886, 837561785, 925800910, 864473027, 489328349, 321253218, 826555312, 790558215, 568964393, 334268294, 534683369, 911591422, 841130253, 66838438, 437187520, 290217863, 729125749, 616164980, 591131166, 683906212, 550730349, 413212999, 63420616, 985067090, 962734983, 874467612, 316657410, 1051575928, 873277656, 1002660622, 401131485, 641487636, 128022779, 375548919, 928025060, 621360182, 843160659, 647947913, 1066897619, 925501011, 238049161, 897951797, 251496735, 1011041014, 350486393, 440007163, 209554, 727985172, 858934294, 884787993, 126370612, 137595297, 40525286, 781526520, 224681168, 409083563, 317052401, 219718953, 267568601, 425023986, 713433669, 912262346, 367490639, 144553434, 85111003, 949031346, 441154248, 445196272, 620810582, 65667986, 200503829, 464857106, 981133682, 34913131, 463516306, 771757645, 318949539, 100924200, 202111072, 586954034, 758854465, 345829017, 291503058, 771602295, 495367635, 236272748, 478930536, 473354013, 76718130, 919031109, 179742103, 739774574, 1009680134, 57197457, 141123382, 904006579, 191153761, 248458259, 75133701, 981708326, 437436642, 83311270, 926193629, 33578777, 520446554, 636418579, 900657104, 165953344, 771033037, 305768809, 233932774, 947952712, 946806380, 838611220, 765960782, 207949624, 430543857, 928286231, 842733368, 263513941, 604029844, 738258955, 1004770439, 989578813, 682414452, 126953012, 527885564, 745993956, 333731882, 591608307, 389240811, 804457774, 275273873, 403308544, 834073524, 600277930, 116184400, 189904096, 643655931, 811287011, 781486903, 550587559, 700285979, 546646989, 957481628, 280324513, 17450951, 154906365, 22734383, 336519564, 1036418961, 207921531, 256440325, 725987047, 88703588, 234711225, 248971779, 552326846, 156802622, 270712730, 1014978486, 405718959, 995028319, 828275082, 649278169, 436551680, 642392072, 972483444, 502396028, 722777805, 100826366, 967647437, 754283201, 755727949, 561678690, 101492397, 1059695700, 1020360132, 934300714, 1043836085, 390151893, 846551154, 726067137, 236222059, 385009812, 353010810, 431041585, 989776770, 161584923, 244207207, 445570292, 198085029, 598503904, 416554169, 752645426, 252267249, 393577431, 53961894, 571167704, 239684246, 734266492, 1042271466, 520367108, 106550333, 793877728, 553745032, 903309604, 198910099, 954500341, 620268832, 1041039298, 885754759, 431450144, 578559072, 1033574779, 564172516, 652790318, 1008519529, 518085792, 314932422, 421611041, 765349438, 932832348, 91508851, 790716758, 809806642, 342870066, 1055204802, 345627689, 119945817, 574102143, 414235950, 359235479, 180062703, 335171713, 245184947, 706646418, 802176793, 349344551, 776787152, 1006597817, 612803966, 696187464, 668619370, 1044614403, 737734142, 183843757, 974200978, 127768564, 996982755, 727921253, 912742880, 952848192, 1016911357, 490113345, 279971670, 252036672, 95618576, 643660682, 1018019094, 484301103, 814128119, 982708015, 915131475, 957042871, 564102975, 440157088, 468154394, 747589719, 588751800, 816941344, 90441977, 128550095, 597518857, 656906188, 507765164, 539864787, 273262590, 1014817849, 181918814, 785954362, 599114890, 193366535, 785549718, 165345931, 612950374, 237797564, 69508751, 361633104, 421191947, 829138417, 171871463, 611485940, 362298449, 495772731, 48540383, 689662473, 877285775, 513876808, 909783778, 978055000, 709766115, 1073476253, 63487567, 457401356, 551479896, 750405656, 757241660, 925569493, 365969881, 769898532, 59140675, 755526769, 892108290, 285820073, 1041132025, 10947267, 730959460, 493341474, 495301177, 865682710, 8427811, 984366431, 315084447, 762378348, 340481178, 694197124, 738306869, 369429712, 1041844111, 522657914, 292418533, 834491538, 293473843, 133977678, 131896713, 693009737, 453716209, 120848714, 766768647, 235627308, 259948741, 910180454, 258672402, 763151576, 952856125, 549214442, 318156455, 371635292, 340050237, 64286566, 771261723, 74616473, 522431842, 412737169, 1058007112, 226576805, 855402583, 560445974, 632977586, 188039510, 860512971, 991508190, 539532181, 123469502, 536770969, 540844282, 218981528, 654975705, 1006129488, 459698467, 785757684, 23250173, 260878371, 509176425, 157609012, 41595450, 736475254, 189367194, 731673636, 23266007, 1037240453, 387988397, 28529526, 1017647751, 606887182, 230895595, 186529436, 369117388, 323716108, 956986728, 255964536, 343616451, 274724386, 809370712, 461325264, 908244432, 460513704, 321460756, 927316203, 549043310, 679376588, 839197480, 918308112, 67647675, 465080515, 1062196248, 343080724, 719214571, 628178420, 325693701, 111797401, 389582628, 200058816, 15953235, 645176902, 1022385215, 37888520, 944709216, 179998805, 491215249, 1036174277, 864456999, 236221171, 453617856, 762995978, 955679645, 151290322, 575163804, 974524027, 773461184, 909671330, 298380979, 799429843, 926709379, 781467582, 998425519, 456060267, 82433884, 38589485, 265502332, 700423763, 212105227, 967452113, 995429168, 987172165, 818521511, 303559037, 230265628, 325240259, 579769372, 713096756, 556622139, 249760424, 180356962, 846820929, 658137882, 740093254, 425891862, 526896231, 960740450, 113685623, 639463365, 992812675, 800728440, 472204483, 636971066, 899678252, 988046814, 171695490, 87878246, 367551565, 392568668, 701498664, 273628277, 989113913, 112483671, 271133803, 911263885, 32016934, 347390325, 674258502, 729923398, 480617888, 497919866, 96929537, 99044440, 777061652, 687815189, 289707307, 479438114, 135461921, 897776890, 400366985, 1041271453, 167249995, 671083595, 34198, 451017474, 993698731, 168126605, 60469517, 949983280, 105603541, 894609240, 204841333, 126761301, 244556769, 449802131, 779375774, 578021938, 1011858755, 278828661, 396573062, 816675337, 316810617, 355255408, 586312757, 199797824, 809275129, 854774443, 248667170, 169080251, 1558014, 83201928, 940118789, 480171409, 171261325, 159035647, 592419104, 89864261, 727614978, 641378526, 365169556, 456913856, 68202028, 134456390, 1016352363, 719623976, 260222736, 773238008, 487665606, 488311020, 567991658, 371414432, 404897570, 525465428, 793828908, 76258542, 855844575, 922466925, 201277422, 1046261414, 844085786, 287014233, 551013719, 454308682, 158526004, 324291964, 215196282, 370742358, 1068368320, 271936494, 248173402, 712617889, 378546114, 16076889, 236957872, 679505840, 814874605, 408462701, 170961314, 198604347, 691448387, 240135704, 646379970, 924847291, 196899794, 591041506, 208520267, 251392449, 727767845, 594783326, 703229696, 523554596, 975763008, 328563457, 214109113, 579702136, 449265012, 880185552, 355725468, 544700437, 240261393, 868369940, 786291046, 323709756, 1042311900, 110247197, 491685440, 828961821, 921213196, 805249026, 842429192, 143093133, 601818014, 175638738, 1006973377, 1051884340, 263904787, 826125482, 733586502, 1012350076, 623725421, 739900467, 1046215184, 813409440, 227449894, 647795549, 648309812, 926300058, 955418529, 994436161, 988279958, 531907944, 906306677, 661554505, 314365263, 23256684, 138789123, 385883050, 889278000, 576700706, 555115263, 872474748, 993108952, 441690740, 648239212, 132623396, 964618691, 193403539, 665016293, 369210970, 328581284, 261226374, 207322531, 484187359, 254766647, 770126681, 611439056, 1034931349, 179139670, 657029053, 863711177, 1055771063, 717229570, 543412094, 91615903, 886543924, 836374100, 116879164, 493277130, 419755636, 923851876, 583049076, 454070464, 375165868, 81308325, 917338149, 663493132, 396936679, 712576180, 267043432, 687357517, 863925695, 382594874, 1066682313, 453435946, 588284528, 911872408, 996291056, 47830910, 269841110, 20610356, 873724541, 383039926, 994335603, 631813985, 342189442, 223020200, 286217039, 578671582, 896257375, 168068466, 285121643, 622134446, 330916174, 936892762, 759409001, 737219302, 241933473, 821545982, 550113919, 569115393, 592121590, 881593749, 947234974, 871190320, 87627560, 433542679, 11909147, 821972254, 727409287, 898442305, 465148830, 872256542, 1061707537, 894567861, 553862998, 908877987, 123857442, 877505811, 569689846, 147888322, 997704031, 969990110, 779907253, 506808023, 591587774, 799993530, 1072218463, 149075035, 516308128, 606833368, 231614092, 625169493, 192527848, 295649385, 439585376, 693854208, 420447484, 665895033, 224390029, 767908740, 322961409, 424658327, 356693343, 431017613, 743292595, 1011545276, 448020590, 167810218, 1043068759, 70253782, 669916888, 523734545, 202641662, 847272226, 591619025, 461085567, 674980523, 619627040, 414708524, 804899305, 682313635, 855634049, 1045477461, 86327104, 373099999, 522902698, 330754763, 103442875, 482921071, 952493551, 220563063, 440600024, 203420770, 1034720683, 183085552, 197397669, 758479496, 251030576, 143252642, 347232878, 920001313, 428687505, 446724804, 314615697, 54610188, 863709475, 544998075, 716541386, 667971281, 288495903, 114650683, 473031468, 167723741, 237299715, 250397719, 856902140, 1034539768, 88275089, 808781678, 553724829, 169963273, 574819763, 276972183, 918680645, 311302485, 359921673, 558716351, 17578798, 329160826, 119677917, 221560625, 83046746, 83882908, 815824672, 811706427, 783287595, 72099298, 514333130, 623797634, 520697525, 175519037, 918184587, 1050903886, 625026973, 35297572, 203664941, 246901702, 435968073, 353552381, 817082509, 800199892, 457076311, 838089532, 333149812, 1015488640, 187039817, 466619290, 198187809, 628257612, 56560279, 204024304, 803370151, 752080500, 979781012, 212968642, 113517685, 676033789, 593096410, 239011948, 1018640012, 65550939, 978351770, 369565501, 460167819, 740846889, 650466141, 302806531, 779616058, 889863535, 467324628, 177606215, 246285495, 548075053, 383960989, 449416901, 802375652, 1034873313, 116330963, 901804233, 938416975, 578071710, 316000686, 694308196, 476475564, 954150064, 320458611, 282538166, 388114466, 859103054, 717617996, 883912386, 75974555, 863694882, 781586344, 526607633, 873098215, 526806629, 96925675, 318494760, 715062273, 245078658, 298692122, 303984485, 306781920, 766089535, 239798416, 8009214, 293006329, 270339142, 222529047, 524939673, 1056130759, 941338885, 572970400, 839169388, 68005408, 3171024, 443667024, 668782251, 1058311860, 972137642, 387413019, 466849313, 836255633, 773857247, 307142817, 693558506, 1027173610, 47461444, 765908301, 252724842, 363401804, 487325445, 753102943, 78551002, 542105232, 243887142, 185100432, 1006165114, 788725168, 51616447, 353181704, 45062248, 688861755, 6947849, 920825330, 735740857, 965739309, 989754950, 765647578, 636621152, 767980192, 573587323, 954233292, 760441457, 410120279, 1024897831, 180806820, 392503665, 163219685, 668001146, 245492306, 953121562, 154895623, 775543219, 507044267, 500367470, 95818074, 304196857, 233579653, 847186888, 1007976110, 75178302, 1044972330, 610260740, 606148549, 358729894, 1058771855, 107934987, 93100823, 1053915013, 374329601, 448159984, 1048601700, 765271656, 925847375, 623949831, 852685151, 1024723264, 543031904, 489459100, 714327288, 989365732, 945563280, 705658514, 214846370, 923696468, 626027707, 807536146, 338971204, 70208130, 362911728, 663202116, 319333890, 274199602, 816413267, 1002544878, 360866414, 875787104, 471731628, 926951268, 632301991, 860953455, 696521475, 22282346, 388628222, 606028045, 459880469, 952110699, 938491351, 386508487, 137891009, 462113693, 1056792717, 279268373, 93584744, 564277744, 517965232, 736242749, 315887463, 330809435, 215598794, 569260178, 769428612, 250155505, 290200376, 1033371924, 1054527469, 718344048, 868805766, 672370067, 339261549, 532251204, 125605789, 875617816, 746381362, 613710664, 106665704, 820411075, 472315579, 74346558, 350120734, 253581886, 802954147, 778536528, 1004305525, 146541398, 146911233, 848954392, 752490073, 144565194, 257840128, 854219613, 391975787, 1073556638, 307808070, 698179352, 87071548, 375058834, 505837667, 548237845, 151945179, 953528844, 685289940, 125697027, 980476650, 726812017, 800239610, 876177562, 871037415, 378191747, 644858143, 683876118, 621630326, 152259177, 746098398, 692228067, 752332668, 598268134, 391725866, 366844020, 82908276, 787601303, 982540244, 173256801, 181636391, 299523732, 259980726, 235437270, 398120490, 856089912, 43220535, 333261701, 12839594, 95658120, 1021840770, 94403633, 915136424, 899074925, 693666366, 889471762, 192412668, 985580174, 276146994, 464046976, 435675063, 1046884802, 315873640, 257258087, 901583221, 441084068, 628953026, 141625165, 434057225, 735702915, 552244639, 702835364, 503892858, 943064511, 150443678, 238429419, 824342718, 526106989, 138709701, 595442234, 832072260, 690692262, 53461417, 115715064, 926638235, 634687563, 147117554, 92048374, 353803484, 936171159, 370033267, 107450514, 532151825, 284704388, 784941938, 971458399, 565965143, 543521395, 714782661, 161114236, 984830981, 557853805, 814394402, 193936328, 189150144, 251720920, 1063599967, 665394940, 100092057, 519335719, 44065495, 52342891, 120528325, 97304965, 641194073, 727968298, 266677629, 803569211, 201638615, 1064854057, 911465410, 21475072, 451727195, 1064737373, 972997566, 212473126, 170423038, 376697688, 990914774, 168804020, 845679654, 546284026, 926720679, 1004285391, 132635720, 307316459, 237598379, 529078106, 514891386, 188099787, 524132476, 608147170, 1043755994, 846168626, 173804448, 879259625, 510390507, 27317688, 86914325, 160718752, 420027245, 813872790, 25945088, 291565329, 134585096, 628509848, 665809504, 315649940, 622677100, 122535342, 161577011, 267177696, 446714775, 550214405, 304611268, 899870734, 907297901, 80715365, 1007582628, 562720014, 897105095, 388378738, 115367594, 715289420, 161080851, 431145444, 73147588, 313152338, 12321663, 291566374, 911233276, 264663396, 755240628, 639837883, 608239874, 39580187, 130691078, 738209068, 23505621, 616585083, 654520134, 488438680, 162836057, 129341198, 885285519, 39387166, 895681829, 151143526, 795357599, 425666148, 188406222, 199347026, 163315865, 290329278, 910338836, 391111426, 295374071, 558713644, 54735594, 332455341, 800569124, 1030270241, 962646545, 627430377, 498953068, 784588416, 403160642, 1045223909, 582537775, 185297867, 864174198, 272293550, 1015823692, 899330991, 327778046, 856117229, 870590067, 493066117, 125779166, 395746683, 884324971, 326657181, 351495183, 381428506, 812305416, 197447953, 383988548, 618668756, 894644175, 1048253181, 616868313, 35585682, 552961852, 253162659, 935749024, 772562897, 880357136, 51217128, 82743164, 946942924, 253965905, 633879104, 498128918, 657407935, 474985560, 557722586, 138758289, 638928686, 734495649, 885113922, 845979183, 220137765, 684741852, 686002157, 920446349, 988246024, 433156668, 310660534, 370054783, 182698727, 172858363, 949419316, 670173932, 257688337, 553836602, 1055951133, 391335546, 580081580, 594399588, 347797166, 5683395, 273347696, 723749102, 559585395, 90856128, 357566895, 404031413, 676555408, 829090188, 41698109, 474220767, 524154816, 256883576, 407730275, 308785717, 910621231, 24580909, 288445679, 921127891, 967184396, 186660437, 968466442, 64596397, 1065695970, 458975650, 27053991, 1060910718, 409117727, 185259597, 284164087, 946530919, 961432142, 952492112, 80290109, 487758920, 507183559, 234481767, 211545295, 87928824, 697558276, 154699632, 835634376, 966499864, 108117039, 360743501, 991121587, 286816832, 1056130145, 996681092, 74348163, 321807114, 351791261, 592046255, 443623012, 241041627, 654984, 491810323, 69303386, 317553965, 462331708, 8464999, 193936644, 299306518, 198962616, 619338440, 875266435, 458681034, 318035540, 982162383, 532812080, 756658552, 324086301, 460411677, 104027349, 727291908, 176902098, 941835996, 386140067, 964450643, 520114191, 782272298, 597079615, 352318499, 738318616, 298109027, 1030542331, 324792630, 1014018462, 755965165, 272678817, 116251764, 790721226, 648539574, 331343378, 951885322, 972239592, 649478543, 383545407, 619231370, 532947430, 676606502, 193774502, 778552998, 646938769, 318850840, 251821656, 269383092, 353477007, 470400677, 673223143, 212202637, 252553901, 682604202, 1037309131, 12953647, 712412966, 138352370, 148085399, 1052248457, 182611465, 756552000, 867512593, 141714815, 392973380, 740338722, 746135475, 1059288444, 804766309, 806451942, 484969980, 58360906, 1028816025, 834738655, 68689770, 79422870, 781620163, 275642287, 605304535, 202889288, 794083874, 867723510, 120443591, 665443451, 847366883, 248847404, 448445087, 464092446, 251730234, 298429892, 248405618, 1068663846, 521143883, 153878218, 107455414, 809583202, 68373980, 987794023, 972370138, 62184343, 49090596, 151247854, 724770642, 900856138, 660694965, 778114088, 833483658, 803037546, 681981300, 140597732, 44465940, 64196644, 147000660, 409369168, 227213624, 698005735, 870456837, 908615424, 296053464, 936685433, 890135320, 589471138, 788102474, 371347345, 891181266, 712391167, 689709774, 259208535, 414263580, 842089497, 880678105, 832534069, 883409372, 149974443, 580272079, 395601144, 80459302, 413752431, 429055551, 881538288, 493888450, 483102038, 1065380585, 873754981, 427391532, 146969197, 182717501, 576880205, 792366187, 558858458, 359767726, 420322565, 1003870138, 282981456, 914957259, 832556739, 302690349, 920481061, 744985887, 661295669, 365648540, 439875984, 686100015, 195577544, 689511683, 558150513, 958085190, 786106581, 466994268, 7787064, 367169428, 552708987, 100658661, 790207155, 300511305, 906824353, 27548344, 984974411, 701159195, 255509634, 1052193434, 510348137, 761469192, 1020679575, 418652643, 409959989, 410372098, 1014456654, 735629073, 2260495, 727680137, 319805566, 762493884, 156482273, 979877037, 252568211, 2180822, 885514186, 201605240, 720743025, 478717516, 541385080, 1063260813, 196849913, 680371745, 205962797, 875135531, 502278848, 74405453, 890503747, 622995780, 410177859, 306889867, 466338956, 20026883, 685304997, 579948758, 195417101, 78572613, 310062671, 822322032, 914470583, 261570730, 745291129, 983292306, 1057217098, 492415475, 465614911, 859533426, 1001350312, 562116242, 749923396, 736651186, 968691971, 894300136, 108285153, 125697786, 625947242, 853155759, 754794696, 1024060799, 74811265, 615527432, 607773356, 933866861, 620283740, 528861240, 857364481, 107581748, 634807352, 613452267, 718469987, 923495682, 911883318, 299858833, 276038788, 815857673, 883689028, 607928063, 648901766, 1062219430, 656025582, 989172494, 313261120, 433480247, 623019518, 981731742, 527242787, 362807918, 534707776, 459984175, 559547335, 623124997, 779974778, 939989334, 114511761, 162950851, 47293641, 829374263, 580866091, 668653540, 985047367, 895866866, 544514272, 666754796, 133501360, 686776359, 1044205773, 782495885, 472440745, 761793609, 6647559, 649142755, 563663126, 348770104, 852836288, 269629158, 577525797, 391096999, 38927186, 899497984, 953950498, 463520856, 1060328205, 639239726, 379428769, 513199256, 725998546, 695623534, 664168871, 168243963, 460158506, 969263732, 495770564, 312781360, 352989210, 970211212, 147471504, 740843646, 429196783, 6834342, 1031277527, 738827347, 598442499, 845371836, 983718930, 925328711, 223450707, 642312559, 125393921, 444962144, 1023849911, 964185259, 654329611, 55309883, 108736408, 361434344, 744387559, 710530221, 1008170459, 231509680, 496242436, 920780186, 584723707, 367211747, 795439677, 695131140, 257617337, 917645287, 287016241, 339002021, 710078658, 239883103, 908409014, 419989596, 489433827, 533179310, 891718373, 1052235948, 894574158, 888076625, 850804592, 911549230, 783405272, 1014598107, 872254937, 518791072, 420188566, 19479616, 775378902, 486471524, 146143212, 712927561, 300907060, 1066668574, 405348569, 963992293, 784650436, 889191599, 596532505, 214661888, 540601118, 634208167, 421378700, 685330389, 879208674, 844091990, 180545823, 997467056, 1041973026, 775915665, 776022834, 783239714, 19180828, 476130927, 218954166, 444031155, 513032801, 865357057, 1052760881, 95042009, 451423824, 781972332, 708477006, 551922238, 557365670, 308964006, 726905817, 964856164, 60001194, 8506212, 138095054, 706433255, 77488457, 486312941, 893135647, 733472141, 152367888, 837652799, 766821880, 276660556, 796341254, 498860360, 378936255, 777782642, 682396776, 784624160, 906419817, 52294311, 912567755, 576560153, 797204981, 182366405, 509540684, 759202193, 63007003, 465038427, 263296390, 536907801, 282291047, 306596362, 655439239, 439051958, 177161484, 202747193, 121515388, 339067072, 632838823, 424008518, 246867823, 999100459, 44516560, 312869347, 1027459569, 44269261, 720859149, 595639166, 868188489, 36898737, 341370295, 1065793247, 1042580461, 385945466, 560343151, 873906037, 213631321, 360670905, 676743345, 753376590, 723722625, 850550275, 616043406, 791002082, 358487984, 17379673, 156272651, 880670061, 1020278583, 786699080, 552957902, 205888395, 522009774, 455083682, 394160843, 223186324, 33320432, 1022792918, 780765078, 235042803, 796080666, 946741374, 439044352, 558017160, 902357686, 709524979, 145640691, 659199324, 176577140, 1037477264, 213312116, 270388115, 486421781, 468195520, 389405330, 46160546, 525698507, 578311104, 335302406, 116736899, 90847445, 646206862, 35761920, 547027303, 1046696211, 1008500870, 588475993, 430091643, 899710415, 27194098, 95995013, 734263153, 413285991, 565638035, 1062134923, 437584685, 923656708, 688907167, 24469391, 968452501, 424784451, 386709028, 944093936, 261577750, 690929775, 627898560, 328241837, 466034044, 309256020, 34978661, 885186931, 638746204, 583887725, 870396115, 134459623, 851460403, 588970675, 697626798, 596539975, 1016750179, 1048819467, 10013004, 62893839, 355877875, 833989629, 123344834, 696207696, 153142812, 642618168, 948795189, 617694829, 745474592, 910564568, 780661924, 534486972, 60304667, 290113124, 458283019, 962815386, 1040463286, 499519511, 11045265, 77669682, 523010889, 270391103, 721797667, 368213511, 677341499, 649571988, 56521551, 263690198, 432116109, 57715846, 402424712, 767122079, 1301334, 288423072, 335640096, 488138992, 989364405, 536694523, 718882729, 190237266, 393613441, 743348994, 699944320, 854981045, 470393135, 980088527, 354952740, 189167889, 704353636, 815180864, 328143164, 120119376, 106586685, 432043324, 806660356, 661851941, 904376959, 242832861, 693323127, 945451841, 420990755, 310125484, 1060641986, 460579845, 171638823, 436904492, 850115327, 375447712, 542301690, 301302408, 627079387, 132369646, 507213758, 999527168, 974931732, 655549450, 436704719, 131093789, 360414156, 280236822, 1062327997, 1017683658, 10445442, 932883807, 939025148, 233205307, 1019164991, 767794974, 957705741, 718413862, 943536796, 672626151, 685008677, 903348256, 114084196, 409774500, 101369578, 232238532, 239623255, 373671970, 901215395, 283348006, 56158198, 964491841, 99820912, 837990692, 200197842, 194523044, 551899205, 80171509, 1071617409, 125995172, 809135311, 7533378, 243309173, 776817563, 11013259, 29250392, 900990335, 291941514, 768850341, 60450808, 120884575, 1043273812, 466543590, 540170499, 914561335, 937420021, 672362317, 383799570, 662009305, 966939243, 515099854, 703452342, 135274730, 371025027, 528401039, 754286364, 680926072, 60556647, 721444898, 577035566, 190214476, 152713427, 51990388, 884290944, 1003985356, 939616698, 724204632, 18476048, 978422496, 891387527, 939906991, 280687069, 639804031, 29972358, 460050630, 960848537, 251263131, 321565171, 891562551, 801380412, 42102832, 770842448, 317283429, 673622032, 749065946, 755616360, 973527516, 864519742, 227651057, 89142456, 730761529, 427455975, 155253716, 925375521, 687301877, 70826660, 741623857, 780105140, 19872926, 282887711, 681988921, 149493090, 492673795, 432774798, 577584048, 307594296, 15625936, 397179016, 451133999, 15718182, 674503426, 909416390, 384385789, 882194111, 887395672, 1034418237, 260265157, 242854004, 371060984, 832778710, 1058910408, 321921616, 186524748, 970023821, 328486844, 329329958, 464141626, 806286072, 798872471, 181155405, 1029843252, 464273460, 210829890, 182727589, 42388330, 856149408, 986420401, 376905201, 777777118, 338815569, 224993021, 160763271, 742475398, 880682739, 800764776, 722856461, 236453479, 791403214, 649513217, 523513775, 475256827, 647739613, 457691839, 702447930, 262772790, 324659726, 717001597, 427031807, 58798964, 598609746, 243165841, 224402313, 714417081, 284562606, 855814081, 98379162, 35460079, 198862315, 563727984, 808581673, 1053253532, 450460052, 933259933, 482988495, 920137032, 82980446, 367476360, 922446566, 995564826, 765730657, 262823697, 582215185, 716987597, 858997259, 706131125, 3828831, 513537260, 349425893, 1017035102, 1048055123, 686712952, 612793098, 636474961, 467306357, 898959912, 916677534, 224915490, 376425425, 169556083, 806868895, 856030421, 672029132, 1023662482, 893976983, 1013198392, 379342285, 312796313, 638188264, 492365414, 972954370, 850383061, 181495412, 111508082, 618487003, 702812444, 866523176, 201754122, 422210120, 1043257765, 833036336, 435735822, 720445159, 840206820, 824385455, 745101928, 139463401, 565845597, 251337854, 662612405, 639651632, 933542014, 477222976, 672258136, 424274820, 901252355, 12811910, 1000041530, 804920394, 480694120, 590169418, 1025804951, 512546285, 405360944, 665953207, 528157029, 1063471163, 919246597, 426268149, 775198306, 197770368, 61206208, 405895237, 144444931, 560258596, 115038133, 488611320, 907801768, 548975962, 91266023, 25064931, 369841311, 22187397, 291492389, 140201810, 487908052, 419189706, 902548722, 445239675, 240936084, 809131842, 518427998, 272821940, 969823309, 204539193, 143856263, 720213211, 241272862, 1004574166, 192096818, 554088748, 18135191, 32214386, 704486290, 301988140, 287387705, 63605990, 293950864, 11190948, 308066376, 415907279, 164712874, 618164379, 696729410, 805842240, 976984323, 869055221, 9257298, 701141617, 969525766, 560826928, 342606162, 927839843, 718432531, 822138067, 859223328, 400424614, 1049955707, 564148166, 937124953, 1040837396, 859448834, 715170138, 668868765, 746336354, 126307923, 585880263, 989466989, 136886850, 419153882, 307322178, 847249381, 209434903, 811959961, 165934782, 223050683, 507344569, 920719919, 266249216, 320743614, 95518805, 778018336, 919303464, 647455628, 29219858, 94158183, 922151380, 466043908, 245448601, 92633317, 634913974, 621207204, 649520429, 125774629, 225401742, 557231408, 290827426, 684769538, 652388584, 552280534, 150566143, 547891356, 595412220, 993659821, 510088975, 689210367, 759155956, 71523644, 553874149, 282596, 36284383, 263639754, 854694124, 316907045, 1062956512, 917046303, 163027008, 692179740, 703488364, 959427494, 655115590, 545030231, 618736400, 384351252, 436148725, 919956154, 35995420, 176784408, 456410552, 1029176247, 858433514, 402321993, 928192432, 308317520, 81905570, 471350860, 2079888, 420210769, 782370724, 898691630, 924886144, 1037276074, 406460496, 520938442, 402725748, 397479379, 511771996, 645326914, 583085160, 818482928, 779204232, 590167184, 210477526, 629446521, 580579598, 41745226, 582342038, 368501524, 970740272, 282570378, 8606464, 854258488, 679683652, 369588106, 565105192, 503417393, 960493355, 208918950, 940610753, 154909697, 138351054, 121442833, 405889285, 41014537, 969792788, 454463238, 227945732, 1002971383, 682705658, 966565733, 1020393866, 674035897, 346389516, 542736647, 151620919, 197692253, 673950291, 136057525, 7254584, 178210863, 67487268, 652279605, 172884822, 501175100, 370577916, 467857535, 28780987, 944619607, 720542559, 843095632, 1063044833, 447803362, 46617592, 117100695, 146379230, 515149100, 560810250, 165934117, 13126944, 757500561, 218274944, 452260203, 1046340056, 980292895, 762506273, 297958492, 509925742, 231768242, 283656114, 362460005, 371736797, 945212346, 631080004, 202655094, 587993577, 454255019, 381901053, 722146969, 69626422, 43164735, 759771926, 842678836, 362166150, 150709729, 670244302, 842862504, 630961503, 678083376, 925827219, 685296582, 267394432, 919617249, 353284172, 764570277, 90755039, 69779297, 184225219, 987529975, 673539028, 123743068, 87977333, 885138727, 613020653, 511546827, 1056386372, 178371964, 511691714, 2272118, 698120855, 424650487, 752571264, 1070623063, 716025435, 881189394, 450008518, 462799467, 942796296, 614239665, 550988408, 684399932, 631105216, 795388833, 161622603, 293316252, 858111581, 684400385, 152093019, 836971643, 467544655, 369525322, 522178717, 683481867, 801324743, 440655148, 206645084, 117024363, 897214817, 871408087, 569712151, 179288026, 886672030, 470491229, 9599896, 148174138, 332931670, 629708183, 397537617, 1063051506, 649455361, 167176571, 324277796, 505254394, 672956594, 415383327, 558844362, 1032513404, 911312863, 80302044, 844967464, 69195460, 416412820, 841634348, 262110582, 326841380, 801238140, 46827921, 995351307, 947020528, 588770322, 452757864, 965332589, 585466997, 694364381, 53041615, 730628327, 437529308, 315005004, 664091209, 225592230, 650055626, 591485441, 248291512, 438082291, 912129747, 151993988, 627461659, 154166152, 130613846, 245353045, 49797292, 8496159, 803500946, 1050748061, 168968102, 733273136, 932849702, 212566105, 490024982, 283095672, 206775809, 164117276, 475124097, 489638848, 52021492, 31938260, 408581494, 465895949, 146349263, 117141013, 589395238, 62030163, 807947753, 77982873, 778738824, 809998876, 37749715, 625003203, 96090665, 569604904, 701837230, 821586148, 498494531, 141114266, 985547269, 439604389, 60397452, 978129995, 446288052, 288511250, 252000465, 1061528426, 456881220, 949467294, 130064597, 305988098, 520321308, 1001901255, 303768759, 225639408, 971946651, 971980700, 412470858, 628046294, 732717845, 866977101, 119495782, 756936626, 303437883, 592009815, 492410810, 833213419, 822990255, 755740199, 49551082, 11859826, 493502508, 43547974, 434976475, 401618559, 343062923, 277119993, 343176345, 100120977, 735309046, 522525632, 950883143, 1040980961, 265322017, 690337242, 829499140, 714834184, 997773337, 608697164, 433590672, 205552083, 469164576, 786703263, 337019952, 658415471, 608546210, 270213533, 325731573, 374151359, 1049499493, 657077013, 862825211, 126359620, 715347009, 527273193, 798372036, 497134148, 705187775, 985398014, 856034507, 781356461, 207367037, 741097809, 902788780, 376953976, 45950595, 602379907, 223251404, 653227684, 936219540, 857337870, 12597407, 739813134, 1021426276, 197256987, 995993922, 712200556, 755756017, 187825033, 739671766, 615658470, 289165193, 526127946, 593227066, 972745100, 974241397, 288542552, 638893302, 740035549, 402892300, 317649077, 117145639, 245054449, 586398186, 732375666, 513190247, 1008671892, 884300588, 1061590066, 929824190, 749242033, 842682052, 875823876, 433735956, 563393186, 360284410, 754636747, 621323053, 759213981, 266521624, 461869510, 813628006, 164539261, 874995274, 660385874, 732866963, 1054207791, 202312733, 758297435, 443400016, 305897150, 788914154, 558938522, 227847848, 632033380, 229508451, 753178190, 600877618, 665127078, 7980318, 747995997, 212174674, 768811045, 204627097, 498391650, 350774509, 879800420, 995540798, 760645994, 962238592, 1059128098, 948145075, 370669915, 411703654, 729529025, 1046082175, 614063265, 134020650, 474347825, 388565454, 43734018, 62391295, 895230893, 261209080, 846968997, 680608381, 814611027, 480077958, 804149022, 984076220, 802658092, 795976831, 136384518, 240792003, 216406131, 580889385, 641947444, 712307236, 927727756, 623137557, 89018715, 1004522524, 1063845399, 620187835, 678022438, 549750762, 841216097, 866290089, 737059641, 1031559953, 741897626, 526574190, 624193023, 323397458, 306611195, 995047388, 32495665, 8583593, 292112252, 240258330, 1008980883, 642407729, 118529072, 582224443, 548182847, 721092210, 927790279, 287334660, 669294398, 734756809, 206519084, 878416275, 216278967, 137835768, 767863189, 798429593, 945411090, 493709766, 86326996, 847445206, 460683638, 535242186, 242643439, 921774628, 553128430, 182631679, 592498494, 902508779, 468060277, 576248612, 927030935, 80759366, 576192377, 254919370, 710003167, 167324201, 671265117, 31489875, 1070592592, 319014907, 927451692, 886083612, 475051919, 776493443, 338120355, 482542946, 226162285, 495527034, 1030294175, 7650922, 257546521, 770967946, 511045677, 940365789, 633887943, 713240803, 258713366, 303559206, 855812787, 887628574, 114039875, 1066606424, 189083724, 326147306, 437257550, 383522881, 644973857, 83215761, 862823124, 830359914, 301128996, 362066064, 806342520, 41916092, 777238059, 932321494, 150909273, 232734979, 310222901, 589468479, 1062618259, 834698547, 492701028, 276687039, 1059896688, 595746512, 355004335, 339986018, 501670104, 451067370, 219675107, 974313917, 640516847, 973831957, 438409388, 362603325, 60409433, 116327720, 220122959, 148948725, 848344667, 684138442, 262248872, 433733569, 420355781, 943561578, 920661756, 733235352, 1023697822, 651012891, 662604813, 1028202409, 197504728, 858728554, 946729319, 517435739, 176590257, 1039427442, 579776927, 986459161, 92735107, 917185217, 1038635699, 844932443, 898847485, 1033418572, 491649655, 1032656136, 281129993, 397376670, 805377638, 827972148, 512346966, 405246707, 888934064, 223374868, 494079643, 969643506, 789659939, 22050643, 381459985, 565591125, 899798661, 809577641, 994814086, 69325878, 232256026, 129903831, 211002679, 849656128, 1055192638, 609089095, 420135607, 919697617, 809231486, 932652881, 352611657, 204499611, 236384838, 970540771, 572670233, 1023182289, 241366484, 88332432, 879827108, 595240819, 77765678, 824202872, 128069385, 591416664, 506006734, 71453200, 898142891, 367606440, 716278568, 270225603, 606912842, 665914849, 319556918, 4548647, 183856479, 336708643, 701143215, 96056395, 738225047, 163539403, 93885361, 139505088, 747050037, 712052783, 946141998, 854442796, 882709986, 503868657, 397214374, 146327181, 51730367, 492146253, 515048944, 864708124, 289977585, 27180130, 283018815, 1033052383, 164216002, 935274469, 489780385, 286412620, 1063754194, 546160338, 734624256, 535629640, 81535914, 1071333077, 11329119, 778466983, 404334814, 866018933, 833278370, 980615662, 981035413, 538821009, 97601729, 286351357, 489030852, 867577670, 526378019, 1034555418, 930908782, 828854225, 664152596, 1019674007, 1013955088, 637601941, 392182270, 236228076, 897241489, 1007477578, 434859070, 444051868, 793878262, 797184559, 950946886, 49644721, 720054528, 845295074, 54307176, 744589468, 6995999, 502200201, 27849618, 963522586, 873831250, 512189440, 990887321, 907636770, 739674080, 105681453, 914618144, 454006812, 657088427, 12422685, 109139911, 314945272, 1009583079, 991528269, 362679566, 548509334, 17257888, 391036555, 302053460, 637455670, 430338375, 193985546, 104396380, 276312049, 304099148, 757866091, 51740207, 898625071, 1015286011, 188943346, 436008245, 613286695, 670778252, 864531331, 417858365, 546973838, 573011069, 35446450, 474178490, 536836278, 666784885, 973490974, 38284286, 716606591, 826305702, 662430788, 359813699, 403429677, 339554847, 105599773, 598663031, 41401235, 109226140, 445209087, 1041139478, 449323347, 686441552, 19995216, 191095504, 615869383, 331845888, 139916467, 498524496, 232821205, 170254696, 925616674, 264952315, 1025818838, 39990806, 786584796, 994852471, 712908508, 924439572, 900072968, 763656813, 527443433, 23427089, 813164705, 285989038, 81728308, 386148016, 645589913, 167620687, 771398316, 616189828, 658431129, 141725954, 942025756, 831461209, 433116102, 149470042, 238031487, 344931287, 762048157, 219428087, 61277133, 806998193, 937614043, 167590194, 35121995, 970499777, 539871282, 44247650, 784636927, 1065865996, 582788863, 705649864, 644147904, 490469939, 384416679, 1027596081, 883448558, 54777572, 237571528, 421373267, 551704244, 170348169, 989027721, 290622400, 538755608, 797040037, 304038908, 337677442, 815680827, 381740057, 175414311, 365576467, 855961142, 652638932, 150115793, 179879800, 193306347, 281646650, 896258785, 28268238, 618580457, 663117408, 489324763, 807638974, 137375795, 985286406, 505328103, 146573436, 410272196, 243384277, 295729692, 96944352, 299190444, 639493625, 369377787, 481861333, 710036715, 43617981, 631367063, 691512584, 663815510, 635226395, 1072004852, 156722407, 460037980, 41943163, 543132495, 43567363, 175973969, 910492977, 235586254, 700214569, 226765844, 768584575, 244440546, 469288776, 32353799, 117421340, 780673754, 704309828, 469171564, 1060444716, 530560713, 986124365, 1003956184, 902970415, 343101569, 665801966, 628335167, 404483881, 582106005, 892736013, 351528481, 168039921, 603743466, 196896916, 768140308, 906884260, 709649586, 261603980, 346678555, 195829983, 160095828, 744244382, 580249219, 908321753, 553742678, 555305731, 212124867, 1001610717, 587451151, 30421762, 785396766, 445888602, 312953305, 797417884, 667887093, 662039161, 254019751, 812125680, 704730160, 1057337134, 509473537, 354104489, 923527563, 276536290, 199876215, 1061784325, 83816970, 679016838, 760536542, 1022389946, 82854555, 668524220, 1068925595, 929489725, 500259349, 583656313, 177682971, 632594456, 718134681, 889090935, 574036468, 562725769, 448074641, 1072443264, 670132562, 392828908, 947546466, 55978884, 1005871931, 189323044, 5561688, 1813236, 673708245, 385640804, 393984948, 171875996, 666227595, 510122654, 550694051, 911833961, 805517284, 153793296, 511556566, 285292796, 255205424, 323817225, 743346505, 771868883, 1056156054, 1038444341, 946505969, 226268272, 608047171, 187866439, 54692158, 844096849, 716681977, 313804595, 128369625, 837721243, 850283198, 146043890, 61118746, 151422999, 776919969, 660599224, 995562949, 404766945, 385187140, 822653918, 460735998, 499263672, 628761172, 506341233, 982061178, 582598936, 993840527, 639114246, 786202845, 549344461, 392977528, 952486211, 839990696, 83706341, 187908213, 229697852, 383262119, 820609368, 387322363, 75958319, 899995328, 892433492, 389900330, 359206882, 164161088, 615763981, 277694657, 406420187, 588853141, 14077785, 1039635543, 516335611, 738910334, 561863247, 415086240, 549987309, 596743740, 569633583, 532170612, 196683383, 170241953, 808185708, 625342628, 443007090, 60958508, 166353116, 247079538, 370740089, 1056634627, 750159771, 363666201, 974642393, 337300598, 331700988, 580541407, 979206684, 1033669387, 456572748, 1009547699, 992066579, 605873818, 935101616, 683661119, 670941853, 589310912, 52142460, 64617329, 375820077, 509022039, 846359753, 861283707, 206631800, 566076790, 818968004, 150472793, 53104556, 995869726, 774247451, 711681705, 382443643, 822805529, 879998827, 162333383, 985950945, 324189864, 221823045, 151455624, 33556540, 19001811, 544593062, 91693061, 855833436, 1046426435, 839002677, 606206246, 905799753, 932848937, 1071365635, 467795897, 200778465, 263133672, 96093592, 282784929, 487217412, 930304215, 575739977, 105382417, 206173705, 537625561, 838586425, 225747959, 604140615, 279094204, 916604308, 768845096, 286964355, 929175060, 205181805, 608513456, 196306930, 756215594, 290079753, 800782461, 559098153, 121811280, 895134261, 349523806, 115754931, 893559060, 457018181, 385487860, 757559299, 20815308, 877304120, 603944155, 518299527, 1002179167, 211941263, 633738391, 76582910, 250276476, 843708753, 994192971, 409716714, 142712122, 382549039, 406513316, 665809536, 218968837, 1045741130, 108812865, 853989419, 1017865943, 675396317, 93822834, 1052592861, 459851417, 384693927, 1026847457, 336666752, 46080704, 698240350, 239991091, 252986051, 825470164, 189463931, 881957410, 574795497, 104675026, 329378659, 580710174, 57631829, 227038965, 988308797, 712854459, 669399416, 991904655, 949455606, 140255265, 977760666, 918155740, 900711588, 1035928688, 954031958, 78448144, 1019200872, 736969395, 997728895, 83585503, 528346203, 622799672, 755160385, 394572908, 911947149, 17372552, 1007750485, 742011443, 90884991, 425269507, 1022304297, 203574871, 792318932, 1010419429, 62013281, 312384949, 463743673, 50717184, 869161103, 806301803, 366204547, 612141779, 302780712, 551261714, 604526632, 718761739, 531417161, 124516123, 29667049, 324323802, 108226894, 352517086, 420760895, 152851206, 693796758, 658713526, 906897632, 667686265, 326548537, 638885681, 478380694, 453776464, 15576505, 1071031364, 32542211, 908274286, 575116519, 89148462, 803154398, 379478496, 387442384, 660750884, 175569740, 651099049, 614552283, 537706737, 306815314, 773309025, 909718043, 671911489, 637877380, 147493723, 128188982, 703318218, 598276309, 783341565, 382860081, 800046038, 335546569, 374390057, 27095824, 628132767, 335546245, 433544939, 187721356, 810213631, 454223778, 474482950, 674669406, 327267845, 308342755, 443507485, 603625503, 944808864, 507060825, 147021632, 477370991, 956253245, 979656202, 801297856, 749160887, 592514582, 662996542, 775378536, 123525802, 826563325, 658871286, 350111128, 339042236, 18723824, 725168990, 25385803, 65841072, 466788203, 637530961, 1045836114, 264082673, 34068367, 585582417, 375501982, 1002368949, 525860057, 1072213482, 715892083, 113964569, 962915999, 167258136, 583426697, 741973362, 351440492, 804125884, 998281782, 821945092, 507052241, 909986356, 402878278, 1047284508, 762755845, 953850588, 670219436, 62085795, 727924234, 164998958, 958751242, 811380328, 853819401, 619051158, 722616565, 355447, 1068098351, 731983449, 166902329, 159650783, 266000657, 447194605, 197861507, 302492225, 324135364, 1053105628, 804997562, 610932107, 211707692, 1053223428, 626961811, 46378158, 856527417, 223302616, 142232452, 53281760, 777415019, 451837336, 524850405, 326918311, 836075498, 252395485, 790651440, 500357492, 935408196, 1063600464, 222512900, 954386182, 747490697, 15286374, 369562988, 513434040, 955677051, 836722684, 645427119, 223978114, 907342183, 430307848, 467262821, 129000907, 701866235, 205802233, 675562551, 150326618, 1035146982, 192671990, 417581670, 588172384, 756264438, 753282159, 142886866, 64091726, 1021853479, 883222903, 568392315, 1057423338, 278592233, 1017893378, 380551306, 701197634, 506695969, 394200617, 382454014, 885072252, 837846002, 452739124, 734030799, 587972395, 333314557, 241016279, 287102762, 330531242, 708684883, 581502848, 1009677956, 587112916, 260960093, 1058710082, 209382541, 737912240, 728261046, 279625174, 202836941, 834623748, 785221696, 566897563, 806586553, 253937419, 961654336, 940430660, 914485488, 489490980, 532939358, 282289090, 765531044, 202605772, 450659040, 767862970, 1054346777, 772618331, 458007442, 275318721, 456544204, 495507153, 543566935, 1046699356, 24916641, 59385613, 1053161489, 362736923, 969747894, 1026965151, 313714635, 578359460, 872239727, 734433060, 655006963, 566570541, 151108893, 847411681, 204191426, 1041720152, 223652970, 79596605, 292170193, 727117667, 874039698, 237218527, 968137697, 672097116, 619433172, 611015050, 764237928, 253347070, 518106889, 404538362, 1039728297, 68527067, 580307198, 75755525, 536222510, 208693774, 451571786, 1030280565, 388541807, 143913995, 1003224578, 331137737, 820181178, 45103806, 34466884, 343064997, 632744179, 60087281, 134692715, 559580420, 937014714, 665106754, 845510386, 377600765, 19536194, 998513401, 747735472, 714209605, 781611229, 553938644, 494489759, 524233433, 1017851072, 267712818, 102402235, 727492237, 232520304, 882239536, 623882424, 140766650, 820833517, 207149563, 679264354, 635470859, 720291077, 1002145851, 697375538, 74780765, 107494037, 569154644, 486593243, 898372119, 162342937, 1061045318, 1051051466, 495166254, 684394266, 785272911, 903412071, 660384736, 748982798, 809829372, 106030487, 443916579, 788927216, 931826066, 20031186, 613297689, 249976758, 781063563, 591020698, 79937610, 403669659, 984384493, 831610011, 22762797, 883555690, 901405894, 360032910, 408052273, 412997960, 90263640, 779807042, 1009916319, 628865878, 937881694, 600696945, 854994658, 251957419, 512311345, 1013040400, 1029800913, 1044478438, 394961, 556666767, 570714793, 612153452, 337408667, 1039190022, 336149936, 529374203, 258290834, 1047701104, 118052685, 1052884330, 478604395, 946043297, 157836352, 490495677, 168445080, 346059063, 320755236, 597258752, 229084039, 196752980, 302324724, 558079320, 143866036, 164192153, 81625058, 976266392, 473202172, 645009388, 438175076, 340055726, 223705211, 545026577, 986706651, 61999237, 850626201, 512899779, 958181888, 358355451, 726412605, 1025635288, 348645198, 731722387, 962790089, 634133346, 26527818, 961313866, 313518651, 681368797, 430992710, 821406292, 864163295, 510004472, 526749949, 51903083, 811388804, 451210029, 527429702, 1039434689, 759043324, 473483140, 1008904145, 197479603, 393172879, 742070556, 135457587, 268114616, 511507385, 153020811, 864264622, 152652898, 960361128, 797521140, 546824296, 94881923, 777681412, 10350512, 883838830, 158881794, 872409016, 605463136, 651769077, 876428057, 509499698, 459049946, 1041814966, 219149962, 888699911, 670224073, 722971653, 1055497436, 461946967, 886496534, 186969516, 330663113, 751688796, 544874342, 887642885, 633466152, 617742228, 492941402, 472819892, 686638625, 619668562, 724021818, 769522128, 199069166, 1024883135, 1040646825, 151854210, 1004034705, 1065479040, 865924167, 652914014, 218254057, 20547001, 880406054, 734057219, 91543345, 711060029, 284014170, 129619238, 213950062, 854382936, 863690094, 947954174, 350874928, 581036024, 617425459, 270416315, 675272231, 809788362, 200870892, 574083506, 958581977, 466074742, 140058191, 326847855, 139361679, 960967074, 536887948, 848445632, 133182502, 657568031, 940670497, 970368985, 506253415, 200364595, 109862008, 388876289, 11122416, 552753241, 12463015, 885402525, 868047431, 196919128, 749690424, 820104894, 592237935, 364013969, 1039717705, 193082202, 388889285, 383983357, 1016352719, 175482125, 919378200, 1021489118, 821045298, 956458763, 940838078, 481135502, 539533531, 814823176, 639358484, 670859269, 158476268, 213544196, 1063640856, 6131084, 455686018, 515674195, 129347233, 375491650, 575686993, 313709032, 799492420, 78137406, 352428746, 856889342, 396998757, 873304705, 205625606, 313366886, 689434514, 552311509, 231889866, 614172925, 237940541, 157388582, 25071958, 31846426, 488683217, 591440998, 1053436832, 898977483, 387825339, 303074128, 36267309, 259216807, 274262928, 960789282, 88754242, 54043186, 930662694, 671597258, 229991749, 943170106, 557225473, 923790196, 681060377, 158965692, 1056943291, 50588078, 631272007, 946965195, 92901711, 832524082, 531892338, 346534149, 524823264, 341503942, 347189382, 680240733, 1021780946, 894055643, 88404248, 847970979, 972257902, 257631518, 142484654, 508516446, 991795527, 340499101, 494713837, 92055313, 92521896, 852808456, 257147709, 855696832, 36308851, 92532578, 640354776, 665552163, 501695420, 43576225, 650066992, 165384825, 947947676, 679695629, 922447144, 798189585, 629934926, 294756495, 693371845, 187694687, 74002480, 115841925, 374617822, 104711387, 971573742, 888491616, 1063004322, 905135838, 170419944, 646463864, 988520444, 151306773, 272013972, 1053431869, 330049244, 540754447, 71755111, 956699947, 711306013, 521811708, 850943607, 848628494, 861683012, 587433222, 295572748, 116178135, 951779868, 1039733341, 247736743, 985560537, 862986274, 152999313, 16470677, 1031042145, 401089979, 930647564, 902496668, 722957025, 256096772, 592255598, 98010115, 558034027, 205852138, 709552410, 386077056, 774638829, 515255887, 302451280, 176424044, 839947907, 178163059, 127642186, 814598717, 717237539, 548570110, 373859051, 282306531, 621723388, 960325, 564482968, 317498938, 447111162, 410769342, 536609704, 724167791, 517289456, 842873273, 183601128, 75045920, 86248711, 183778298, 173423291, 689125116, 924677302, 543535485, 969274424, 1061177206, 1057158670, 69509257, 562222749, 11671877, 407238609, 871218656, 1036969851, 853915819, 332283267, 369783342, 649558356, 259856158, 897212561, 682162499, 197469493, 928516336, 442830396, 910885335, 40254523, 797582670, 69239046, 205778868, 793757522, 1052036599, 261933972, 1072932821, 17739042, 694085961, 8970861, 350442339, 342192214, 647522253, 468040837, 96689106, 604563168, 1034478047, 118007093, 639544945, 900521301, 415804148, 736936031, 789431262, 620741661, 186418605, 840881904, 890077897, 1021866013, 622474598, 233280413, 940257092, 1052488930, 873668498, 119159067, 13804096, 700335321, 286948409, 176458522, 244704712, 1034310682, 114221186, 710885660, 618732269, 37838122, 579890118, 702743761, 685673981, 610619230, 827057595, 60518501, 347006838, 261970219, 763962726, 897165226, 434991807, 494449285, 166167643, 653609608, 414542083, 703488507, 981737604, 765042130, 713949674, 521859651, 640253798, 1013313998, 656111860, 796797746, 824735537] 6198)," 1073741823 (minOrAfterOperations [241273315, 1001151194, 1020274203, 113268625, 706746712, 664633219, 269870292, 283576396, 418383327, 930150216, 905375709, 791741662, 344482765, 682332841, 857797174, 707796034, 788295607, 100433007, 1439402, 630636161, 458652585, 654010977, 556033335, 853246489, 473878449, 169562720, 120638866, 1072139896, 205791626, 109581020, 612100373, 622267518, 670956491, 430521892, 881723574, 155488766, 931078318, 160229591, 476832730, 861228702, 825729015, 695542265, 621984502, 82152790, 705721334, 894498340, 1073640706, 834525609, 959389630, 913069962, 575364203, 898714081, 80843450, 377475832, 332784655, 534498821, 421949145, 1026229430, 324549391, 1071775346, 676180749, 537458961, 342859872, 762409380, 242194128, 492732363, 1070863927, 110329033, 644427965, 86036770, 881591247, 996746816, 252470675, 618268422, 63266025, 330121592, 537452118, 982763878, 382838112, 69311505, 525973357, 590734121, 349087079, 355922676, 89095665, 1072693008, 981260704, 388030128, 449684941, 973778384, 831796321, 135087800, 143709783, 31751971, 893244269, 103866179, 279257985, 528585843, 699499278, 136481794, 864244631, 158709573, 292580888, 318451556, 398394496, 860478105, 184867035, 1057978244, 878435110, 666547015, 682606637, 1686281, 22688376, 183365576, 686736311, 625324648, 1021867846, 879416336, 970984797, 1063998957, 567597049, 123164776, 738511936, 693117741, 91477429, 913591362, 42049852, 73078608, 131495432, 252982227, 599817506, 876207922, 694440565, 965770245, 580337058, 136474398, 193860753, 250618716, 248376657, 802660142, 651775644, 324259014, 549614760, 698928246, 142106038, 891833683, 1039117659, 268514065, 778534245, 47713731, 9185744, 43945453, 677088286, 459627868, 568484307, 1034697469, 124681048, 368443011, 527106228, 862799299, 669803665, 684248494, 383675608, 281757735, 436824114, 203134782, 830274410, 925081566, 579155458, 242740766, 637047311, 915659649, 669549975, 295017039, 849309190, 228420609, 840281153, 158289516, 566530882, 50078017, 850211019, 387748692, 487839718, 103341184, 904745532, 40155594, 45522184, 451569371, 775166470, 519002208, 1062801188, 267386398, 1013469014, 836256585, 256281044, 1010973507, 247691151, 534421860, 599530711, 296375316, 599476231, 1049619022, 869637203, 376034893, 749676500, 395344244, 120909530, 567533381, 1048274405, 457150770, 130715992, 950414071, 21707064, 284743902, 48452641, 400056979, 505913076, 161939596, 919825561, 923065727, 310279470, 134403466, 355629907, 405342776, 584754742, 1045324546, 684385039, 929014110, 966786310, 104603190, 215728358, 271229827, 968330698, 923864637, 328445182, 279274607, 993798591, 857604940, 910546564, 756927365, 1067225850, 295793957, 836341383, 402615163, 309836418, 248989209, 286184963, 1017511433, 1031100717, 6803121, 384591893, 152872026, 136792081, 799474501, 291958553, 568768572, 339298271, 505569068, 16085401, 657154445, 695840616, 510680748, 339578812, 238525898, 692385661, 830504480, 345932715, 289965649, 749877640, 256655806, 150656414, 825116799, 196272433, 876133769, 60522293, 662233892, 1058313836, 955772133, 83125500, 364033068, 968248909, 104960425, 422144158, 374258140, 66809471, 460996609, 702390238, 692743356, 559771624, 459235972, 421891838, 1003170221, 184915000, 139956438, 384974901, 613991213, 807555234, 480481734, 606382639, 784671207, 551602911, 750709603, 725264475, 953486355, 849230182, 865075402, 782223382, 879033390, 268324631, 816126005, 688310968, 714087495, 925797605, 529129976, 608808951, 273130032, 781611504, 53216963, 394160358, 1072631577, 980684052, 741339128, 734698259, 57825872, 589928126, 548426471, 252981262, 743618806, 132524868, 648478388, 333338012, 251269743, 567923674, 270934094, 291117749, 136202664, 385483858, 404907189, 845614602, 895570789, 670117525, 550571891, 345210103, 524964066, 698578885, 703537423, 209963601, 107661122, 878168214, 411252827, 251437248, 753777362, 634686911, 483757908, 662664830, 998677663, 268396162, 568906886, 1059313688, 739422978, 761596056, 191964770, 749472749, 956733941, 883707161, 822086455, 127163866, 876211761, 677601760, 8759890, 156820538, 982215008, 525328931, 843791511, 63613275, 560122842, 603891420, 644867735, 218695613, 1011787001, 1044003427, 999135037, 69600578, 316123203, 359216512, 308793984, 416559652, 641113473, 667627334, 642674442, 367510398, 926793168, 207760097, 545058073, 99788285, 438875167, 582428207, 901639366, 975851080, 918419499, 513165496, 823479401, 858451603, 284047177, 284967484, 179862422, 197167215, 367962468, 770241118, 363309629, 21244618, 691264313, 655053046, 230007166, 714016605, 648566434, 642298464, 725155558, 565317334, 299158757, 359323190, 559611717, 749096120, 676371825, 233643546, 176111976, 577755097, 758001277, 49040118, 825118517, 394096367, 195419831, 20997519, 827874843, 465211993, 1018845021, 867792803, 132562441, 621862562, 563465477, 500227230, 442008830, 269011491, 197875372, 970939100, 964310195, 234836700, 74015434, 671959343, 56928440, 603310560, 447325564, 973841813, 224954937, 49387249, 59539351, 409753361, 108214864, 322292332, 67719702, 82313325, 928526661, 1023271048, 26842873, 639645644, 146778865, 773448102, 778325257, 724723150, 750063944, 943611238, 284150332, 433831754, 944681086, 851305891, 352447456, 409463587, 63065697, 423438866, 789826122, 179870448, 785106029, 350638218, 815939795, 269240551, 965525598, 295462979, 982888958, 741668244, 567091425, 825186408, 670764873, 428896900, 585308828, 1017274519, 75010377, 572319916, 569399029, 892518220, 828240435, 380841945, 64410866, 282926139, 486784973, 622153181, 153098078, 674015793, 870620377, 213995875, 481674738, 634888321, 894890256, 481105891, 33833579, 56147199, 210131195, 987686410, 132177393, 667238953, 573144032, 146501514, 533509080, 722633072, 536167487, 525409932, 287783617, 296140074, 901502107, 331710469, 103936697, 706907510, 405172423, 714088208, 588927451, 1018741173, 500417634, 201509879, 529561713, 297694774, 34617314, 626682150, 729100160, 765622639, 905903448, 242084675, 47592511, 761703499, 173752098, 234832302, 646071362, 287747259, 785426015, 580545268, 371637010, 674928811, 623223690, 228330243, 493797040, 9502078, 1025560475, 1007137732, 402444432, 910218288, 918356519, 683941697, 1059177979, 957305674, 111438243, 307269400, 297010404, 567984020, 36680370, 794976402, 267135482, 913803354, 915710705, 657113564, 829422902, 981113486, 328926680, 991764363, 904069256, 1002462598, 680903191, 595024754, 671111081, 634634649, 575257989, 1029410717, 803572739, 678949168, 239128123, 881696192, 918263301, 18268837, 654044549, 73871496, 896835093, 499720060, 348496862, 149760232, 628991143, 1036155316, 293809270, 222321647, 343202422, 308910965, 641450521, 553321895, 96280274, 549584205, 31641925, 150923145, 814149916, 283260868, 241770829, 474475364, 653602877, 732524951, 574791191, 610379116, 241622527, 859448189, 822417134, 480942054, 244848305, 766114823, 1055333841, 150232648, 87424530, 303225978, 875406391, 547627152, 1030375872, 185819130, 1033821769, 396364580, 655065773, 268664675, 72141484, 2630656, 452536347, 842386356, 409609243, 426001540, 885408200, 75615195, 305491401, 958017056, 768338913, 772452781, 378759351, 329865747, 154558470, 614381921, 962579802, 247366285, 147236498, 157212304, 569942403, 449817152, 113903162, 741172282, 973591164, 902302590, 169326343, 334316831, 234782159, 130409207, 328565399, 326247767, 824947900, 304257633, 758833910, 777265266, 661308195, 292539047, 853120769, 767851282, 472662963, 989211964, 632618421, 894278472, 373660834, 808328822, 528489900, 474033450, 283307278, 777682921, 897151186, 70656521, 551587198, 312181058, 255143568, 142558243, 316004422, 277005232, 1043137411, 906739668, 51581515, 288389120, 117588342, 820484812, 628368087, 143778181, 712772871, 199313078, 236954378, 492194757, 270295994, 550942958, 197138611, 859749691, 885525559, 479817990, 75493096, 806909264, 778548898, 223975914, 819767159, 885758800, 477553318, 856443716, 33464323, 499465979, 121227635, 1043419936, 593882869, 192197486, 116622676, 289293804, 147967437, 237490539, 684224848, 866095735, 1009965894, 975322611, 6883894, 578955497, 862414674, 604888229, 521534165, 708028798, 66557946, 596344398, 980183014, 531852954, 748392945, 790064694, 447362071, 178829074, 439983592, 258618750, 184498568, 174354245, 497554000, 903741893, 100586858, 999879694, 85168853, 1013825943, 534831653, 1017729574, 914309776, 264603985, 762572049, 844443194, 221548251, 660572703, 140271035, 666535568, 708525212, 1014015070, 113846825, 1071660128, 45521092, 264707065, 920970996, 646647586, 688334634, 886924209, 783307779, 282949041, 158437687, 938053425, 243575640, 857539391, 918195443, 422709688, 493373034, 632045287, 702298690, 126972449, 196714066, 78149469, 595068038, 259434047, 596072592, 215731088, 471101005, 746398316, 97990175, 242700454, 629903588, 483259483, 970908461, 669557105, 944494237, 71074355, 433074836, 226576797, 1060828511, 242682273, 47332950, 537455221, 854395818, 1007809060, 1052152845, 866354229, 600036347, 745443604, 1055342217, 521614390, 614071335, 224359062, 909145740, 847956943, 647995819, 609537715, 269267754, 792128744, 492636971, 380761192, 764386990, 984426826, 341796364, 130499520, 861463730, 954317565, 874801709, 519973950, 556304619, 522583574, 8777719, 388389048, 948698355, 442760906, 705661473, 906243361, 315936761, 928101379, 569521240, 1021659704, 768060900, 866877893, 526156954, 1064735473, 201587352, 80893259, 1052940610, 1068915753, 258595064, 246142978, 859342304, 701515772, 642905512, 298313486, 951136033, 981714142, 1012417, 670087256, 332805343, 126621253, 162042880, 1027900339, 612258406, 261223164, 1020183415, 299533189, 1015553669, 815307364, 1045817666, 85606564, 433676275, 572771395, 166914199, 748017326, 747171196, 398050316, 196648839, 1027539036, 562396872, 920208228, 688313046, 111612669, 638582831, 357373022, 329911872, 646638849, 742107831, 337509724, 740310489, 29788973, 582629588, 506471347, 331202011, 259625205, 843252895, 668589553, 63363287, 113249954, 876394366, 559278488, 392379662, 605136762, 454409966, 785769975, 768002443, 601566563, 282514834, 98944914, 791292122, 49150766, 750524726, 442849019, 230808661, 376639992, 226165304, 262971497, 376784865, 192448469, 12011241, 195697841, 95861542, 211932215, 836373279, 685938109, 13346870, 588693026, 150870427, 883523452, 180173741, 369833933, 782536229, 171484716, 752850171, 76217210, 79221590, 548829161, 411309241, 1004848241, 831110947, 458821704, 234528360, 402039342, 469450461, 751942231, 622964463, 221530233, 788362939, 730912148, 755362603, 327802309, 289837125, 1007640811, 385507791, 413601611, 913015337, 575642815, 393143232, 12158300, 704291909, 440963134, 647120901, 91279232, 532533120, 893885600, 20431060, 611923040, 917618430, 97972442, 713376072, 939352367, 816356385, 58693315, 272739841, 549232436, 1035997134, 544500171, 211791862, 407699296, 615373587, 1061899786, 736142347, 600706140, 344791400, 411268307, 1066019766, 772800247, 74920602, 57974424, 483989898, 474702502, 295762949, 512100867, 586863643, 215821665, 407272652, 58581420, 510167085, 763327680, 813261259, 103838941, 126103829, 815828981, 203439687, 66035858, 57018164, 597490814, 731969563, 223465562, 22286133, 213007482, 1792283, 824458136, 864114331, 176608512, 11010437, 769870610, 715407040, 1003751453, 629834130, 96398151, 975860766, 179016297, 1030980574, 32254174, 479341101, 462838460, 128290588, 1020564102, 459717969, 918586565, 981350899, 415786828, 783618101, 217321251, 900124805, 623664782, 712464497, 646549274, 43190577, 455256925, 643573569, 283515713, 522908059, 805703014, 816812518, 786262572, 430303890, 542767628, 153470414, 402540111, 301686657, 907553889, 943868504, 592857508, 251426932, 491557929, 116054259, 878364419, 1059167778, 951580164, 900467602, 666448381, 983716411, 857370620, 407444274, 358431551, 243126100, 853992388, 891313094, 11223043, 940766896, 653926608, 998299136, 931897489, 754619144, 1067567579, 557962716, 373455551, 198446876, 1019668038, 295427868, 819070238, 118176167, 34676644, 24700572, 1065094740, 268125319, 104080746, 457263869, 838824717, 306452127, 13494248, 957284186, 23075497, 337410101, 791643363, 602158222, 933572684, 475126794, 613802085, 948511410, 249348638, 246826980, 1017280079, 879229977, 3921547, 410150941, 112868903, 752338497, 247361943, 363370540, 608727123, 28380141, 661693688, 901798589, 585773670, 541132315, 1029245723, 636235696, 82955246, 721063816, 491303876, 355200096, 297396157, 440058489, 99636408, 159509080, 860117795, 659633823, 283871148, 304812805, 18665009, 549560403, 672395911, 362391028, 503571900, 694930810, 160163099, 25473217, 52381198, 369930929, 969380908, 647525875, 271117214, 667332608, 667859316, 540560597, 279304152, 444176017, 883238473, 831897522, 867423104, 811364406, 61896545, 742112016, 203268347, 181827346, 578299510, 396744337, 483207004, 890535638, 535687683, 395906574, 877480585, 497032710, 488826330, 203408259, 555317488, 496570806, 287866357, 184654647, 1053602276, 1058585362, 162710176, 37912521, 295860006, 574402263, 1064788566, 284979748, 429806325, 156891276, 443875722, 87114160, 538100830, 500878358, 649755094, 319695215, 977228586, 355551930, 231248796, 514455808, 56865785, 545057475, 952910015, 319041254, 787654892, 829175290, 558311183, 696009992, 119328275, 15022374, 951526000, 561938306, 132415036, 432849335, 791678546, 781980, 175616839, 1064994844, 402541021, 1054169817, 242156522, 201582713, 82440549, 566916865, 678877369, 428928249, 616230188, 457841568, 663573668, 737707442, 541006054, 491366354, 142077018, 813794842, 716404323, 551628946, 509883750, 861031102, 947436540, 1026317495, 1013765983, 899334484, 111077420, 556250063, 468704308, 1037369511, 171806985, 731306723, 443099218, 46623391, 905082324, 704339637, 484278293, 697833945, 984159167, 582427727, 617103373, 94210592, 218281358, 813221100, 299845783, 989646367, 675108689, 580095926, 176697224, 395406540, 163905189, 973738066, 1014611406, 761510725, 1046239909, 144622225, 954228515, 237169629, 231501964, 528434789, 487382985, 157548902, 692567597, 4183975, 440578784, 672329673, 395996621, 360236202, 270235195, 1039530156, 967191718, 63799603, 984866312, 281141258, 309578762, 7937183, 223900797, 434407865, 428336052, 1048998823, 503973511, 192376684, 546739298, 947693701, 122920636, 862389167, 845317488, 360909978, 667512625, 1073545794, 454536263, 830293132, 499477604, 281287594, 624799070, 813157, 150233525, 837692426, 144080615, 965093651, 472217887, 73632658, 835296859, 340152154, 712083095, 434045437, 24059433, 849386544, 762036120, 1050169195, 729671373, 239831885, 735733725, 458810097, 472452764, 585281401, 498965190, 759033233, 587015264, 248991244, 127161586, 689277368, 1016203546, 270508256, 472157299, 1016834113, 923892227, 130322164, 370002037, 99080193, 21362732, 404052247, 1058341966, 37803046, 748437185, 687944263, 676663501, 641187102, 953765056, 495311178, 626073980, 816186937, 551757776, 328022965, 842158913, 313806081, 373189055, 914205268, 84157985, 316590637, 909606194, 1007853048, 883240297, 981943823, 540633522, 1053640995, 372998195, 555868874, 535108614, 1066015372, 459265284, 319230984, 777404033, 469813616, 920045532, 128438600, 763840386, 934672007, 310669409, 90783701, 1061159174, 74175564, 589387915, 325447842, 504276269, 664901011, 337536773, 764211606, 77431228, 538406831, 301097770, 828891565, 582841441, 780772534, 286773816, 447785004, 158312318, 341032067, 967562415, 974872537, 1009280877, 497414939, 531121798, 266240668, 612599287, 718669105, 486458371, 881616836, 486842030, 882673252, 313916959, 153924221, 52535709, 678774961, 429375532, 574925552, 364164372, 114384865, 500030388, 533023083, 700881257, 68333144, 333986491, 246379238, 346673564, 627798764, 302553861, 582434227, 191285933, 473168218, 917377937, 198835392, 429500041, 631768487, 292366204, 898346907, 300729326, 61920281, 559379280, 767931972, 387134768, 284752604, 783257047, 955152515, 764316881, 802291840, 505108541, 391203896, 962193807, 353051468, 963460218, 522946333, 43646578, 681980209, 426464251, 874625450, 460324595, 106729939, 281114959, 60780377, 299960050, 368136144, 680243002, 424189073, 138370121, 256230254, 922192647, 717956464, 659212996, 242979205, 340593138, 616689623, 953807974, 828074471, 282155702, 71691826, 846231253, 291207480, 973873080, 893551756, 314546974, 870789663, 509169810, 644626315, 52302515, 367159804, 717087055, 1069506699, 570823527, 942419013, 965097682, 655685459, 119688583, 1039143990, 120415398, 579059869, 974181030, 431822867, 319858226, 634672640, 973504282, 469552293, 697508320, 31054298, 551793765, 541914223, 1045480781, 328584647, 678153225, 292914308, 111437136, 994057467, 198087441, 788653769, 529801002, 5890568, 81330345, 490656859, 1041188061, 830732195, 915841630, 384904663, 1023055296, 971207891, 498291466, 586485888, 357196277, 814136029, 169668587, 642638064, 984466087, 236597449, 363565983, 540434782, 1024794562, 917148500, 840270101, 635687801, 491630048, 78002436, 187136932, 1014310290, 1025248762, 737137208, 38050806, 930440544, 191462850, 271858434, 589487875, 902468685, 936971885, 95979214, 660921364, 152228370, 457421281, 1008515874, 972069909, 1065351808, 686264925, 599122100, 537365613, 675004681, 364828003, 136082907, 614672232, 617319726, 28703586, 456344016, 941652387, 1017323587, 477658398, 305482989, 440805692, 405074409, 779889087, 622311928, 333932653, 720743010, 976228114, 922036394, 900766676, 805818422, 288149115, 281382542, 123483616, 708056887, 110650135, 727532734, 667364457, 585119549, 178348561, 25446033, 632962587, 349866262, 934715996, 321535881, 1018523677, 1032403639, 725919482, 201564723, 715457010, 332843259, 960514308, 961421393, 459070843, 201296605, 92359099, 1054624803, 435173356, 434437045, 992932993, 419178240, 318034799, 872460703, 892649445, 449984380, 543511856, 256148947, 110847188, 646241369, 218750761, 323396660, 1022140021, 765509906, 538558348, 1003544550, 156151, 261539903, 598255243, 395121001, 955933956, 222251407, 171620678, 347690621, 864765941, 652235763, 168009596, 1061604394, 98922851, 525853926, 566124391, 645476733, 686111927, 741185807, 451998288, 182178047, 305724736, 1069976633, 40316467, 864235193, 499805687, 193774067, 226843653, 278780080, 184656221, 175260146, 286008996, 940990144, 223044773, 591131217, 622200120, 260572494, 702286239, 4848290, 679818295, 251125243, 274973700, 821558807, 859391081, 413457807, 774071238, 637928352, 266865167, 529039078, 95199407, 505368707, 769723256, 169240933, 151842646, 806429879, 811478310, 483554461, 102947001, 111517133, 338323639, 428462261, 530495511, 97324508, 171304358, 717949885, 973942887, 835499286, 853461781, 455862401, 620489939, 1036630952, 757601305, 748845039, 650340276, 969428442, 987511854, 660974834, 168143555, 640201531, 566620699, 647473165, 839184450, 421939774, 441973286, 958295878, 428148425, 695667509, 216120887, 830744453, 1062586470, 782667132, 730429067, 7438703, 109493629, 115560840, 126175059, 59130477, 391401548, 368680747, 412655140, 574643817, 694352108, 483147548, 151624448, 553264841, 619977066, 435036536, 397428122, 610393499, 1042402398, 416397769, 1016982069, 529412454, 165890481, 525082512, 619469479, 116723887, 1021546426, 174637058, 744116313, 205907168, 363286161, 610036131, 164683587, 428392635, 530221034, 795580537, 572804243, 376986299, 557972555, 116947680, 129107523, 272276933, 630556284, 885606344, 428798093, 833755676, 240292471, 148207041, 622010081, 1028142995, 622784708, 200025383, 124122796, 77941077, 265447044, 100884283, 948517894, 104466353, 369579046, 105903532, 452423738, 981326028, 696313277, 1008507998, 248556844, 165042586, 709743199, 1066573196, 427970536, 859979219, 73629428, 981241007, 482667454, 709456163, 780238537, 1049815011, 171521448, 1036050401, 120449658, 367312151, 1015931875, 455730796, 985365694, 336989160, 1032084486, 573479348, 606013853, 1006604878, 442581582, 856440374, 236744200, 489670580, 554198933, 844731132, 93517285, 313007325, 648924548, 992771533, 737484790, 119809786, 392335155, 973943930, 620882122, 317402688, 820164065, 59931164, 110156352, 337478304, 590810674, 992858391, 722688693, 498246393, 385477675, 118716097, 551989891, 309661836, 489879385, 794092794, 169767226, 373360320, 740654259, 931221549, 818752722, 350624688, 460077746, 313275264, 925553267, 357142319, 1009343241, 994246202, 176260550, 531813655, 600797294, 867007343, 165536198, 505606878, 195923736, 698728915, 249516611, 772744016, 409830055, 996978204, 756490121, 320174472, 985265996, 662890812, 286718302, 625696989, 389663716, 243180048, 970447164, 577471162, 764013931, 594088606, 183840356, 877651227, 520646057, 608409137, 250917548, 964906517, 952334985, 907454554, 611392151, 683050521, 767790059, 645600268, 870060645, 330776729, 467861533, 383269724, 855831343, 266854558, 974204828, 754831947, 444489019, 331979787, 368693640, 368030196, 228720628, 197700959, 63189679, 1058781142, 638721687, 361660496, 861437868, 351647169, 1043024167, 229681726, 513110876, 453773301, 482920084, 437996066, 522404467, 984057397, 615874270, 73283436, 816316096, 1058899627, 849059729, 31328851, 297452808, 403245630, 920782993, 929504676, 266248333, 275751604, 189483167, 799970504, 297932486, 394151142, 1000518807, 257034768, 257152234, 811916631, 1018962791, 160566813, 1018757506, 651951085, 1008906, 828334607, 821088855, 721791385, 336885534, 483657195, 603218806, 417077977, 855905183, 714390624, 626900019, 536567380, 703782690, 918129887, 1039862925, 440246908, 230194862, 147024484, 707460674, 313445441, 104346151, 1040563695, 329618097, 280187671, 999611858, 180511110, 886839671, 564474374, 511236390, 846367522, 230296423, 879875322, 609460305, 611980039, 686349561, 55635025, 346275096, 765540359, 612543616, 583182302, 528597149, 844665300, 818955455, 714203268, 401407839, 198446719, 764591366, 914286334, 1071829149, 866267098, 448400520, 913914436, 898217190, 297449206, 334359439, 750745446, 159898015, 735271669, 778537982, 72649288, 686555924, 890683664, 367703412, 62733102, 432595851, 840243665, 140717936, 492572592, 931046892, 921734730, 871109201, 800884888, 808788345, 847523049, 34728197, 490463156, 773449778, 225171863, 764348046, 722199888, 875450523, 259609143, 316735627, 287177110, 168158629, 162731255, 309543924, 989142115, 11962712, 536722116, 972460504, 653409161, 72960421, 429960202, 984386132, 50667169, 1003866693, 831081944, 42187767, 957636208, 247921456, 444264915, 453996116, 175356837, 766084349, 150304621, 933336111, 637188925, 715587629, 645817497, 255297663, 573608434, 572825762, 483569143, 178783233, 738701163, 1031054166, 583046956, 99921353, 127992708, 687497589, 868313472, 711919383, 704963074, 878926157, 903352238, 769203238, 48873832, 3999886, 162441664, 603904064, 510835179, 559399923, 417763922, 1010665037, 1050957122, 226274311, 583592997, 775024406, 773708282, 41306642, 121537287, 884388427, 646560370, 810652151, 650107845, 170609291, 795294557, 302703569, 414558544, 436480757, 333848621, 11980796, 415935822, 149855566, 726063479, 455463470, 273719147, 432201895, 1035353872, 914091245, 777239980, 95576021, 189015455, 17093820, 927548200, 399585413, 723664752, 974282092, 876668256, 849971236, 895403054, 981896700, 71953994, 940794593, 465592116, 140521480, 1020864835, 160558262, 47010379, 555553347, 656658449, 633203293, 959393285, 81882742, 772419740, 761301673, 977543766, 771962963, 42486035, 708197551, 367843342, 777935873, 138875748, 766300734, 858398714, 982717995, 394151230, 86568291, 705494867, 647581428, 249769550, 51204524, 226555273, 371244983, 563089671, 465900890, 540868628, 652148772, 984033027, 383180052, 562875001, 457734860, 973691404, 515623741, 53746000, 621135250, 235538580, 924966823, 436729190, 221788432, 25202017, 819663743, 664184396, 832839581, 528154823, 1030674364, 916118274, 1000695648, 490145860, 683390273, 60774967, 43955087, 344070021, 271546717, 552206518, 745793056, 136710279, 397270972, 820924776, 888483881, 214684256, 653424970, 974882217, 36416159, 240635591, 451050211, 153248559, 471064290, 802626008, 565437119, 510368720, 645943266, 141735696, 386755735, 936164317, 858788364, 962035389, 325040556, 865203462, 236902692, 376246542, 1061517354, 249249450, 414821427, 867197388, 686718657, 188254039, 781532081, 615302371, 79756138, 22796153, 443069334, 411571543, 126751340, 952869997, 922638163, 817915644, 659595915, 694403196, 127652145, 771045109, 185838308, 515165566, 374460051, 392491932, 684926070, 769077390, 615415969, 872371979, 999243689, 528107771, 603166002, 369938110, 1003782799, 799453829, 473158099, 658891369, 691640745, 768718672, 455143064, 1044543648, 197975682, 493991448, 407721850, 907153079, 682988052, 216450179, 23407666, 790759588, 586380694, 1033940967, 364129157, 691909046, 664533038, 626313111, 410161074, 576261361, 194978855, 1026704767, 396410504, 296622425, 466793038, 34126502, 30268036, 879276982, 281029084, 429800473, 386458451, 1057068669, 435257995, 739629245, 1008713677, 668045289, 880930673, 981025906, 335060757, 147910966, 765958180, 443473200, 818329272, 601252723, 1010424126, 1056649385, 854626945, 1235140, 712953953, 23710942, 994883616, 545613407, 65431954, 239223414, 441748002, 247988879, 839018542, 388878946, 965697004, 899120913, 763315424, 440079703, 1016412187, 499979885, 257465012, 100662339, 502544207, 826502872, 85758243, 902692960, 1023612657, 959226734, 541474632, 413819805, 215811520, 778760020, 683478318, 31133314, 398997757, 95155953, 643928352, 408822147, 634499048, 112402307, 457258904, 660078412, 605221698, 774945980, 49948562, 706221519, 619778567, 849319259, 486926890, 378176437, 183693394, 789978775, 218276469, 388697113, 656258970, 375100208, 279744454, 775698478, 392103427, 349852671, 530651727, 541028208, 340629472, 8413367, 179517548, 549270948, 728874490, 1014279994, 162584208, 676305325, 772909420, 99429463, 953498220, 579293458, 736717868, 69603457, 392762284, 804482432, 443180426, 404318894, 383094368, 239405181, 66487710, 535607781, 105477250, 931292719, 564771134, 155644855, 232497807, 703801643, 64317924, 604041778, 486608899, 508396120, 402928758, 187839412, 436894620, 874931262, 766224126, 476219904, 62656064, 953755509, 248491352, 683335842, 590836501, 127383545, 756405032, 701135033, 1000036654, 455329291, 406578130, 166833981, 454464136, 1052381675, 376742015, 444365437, 540677756, 121028062, 75510894, 225053553, 975797492, 321973294, 1036776798, 620783718, 1042368514, 1063230168, 485795845, 372901709, 1001982725, 436237508, 556369588, 947754939, 256417498, 930921363, 503180034, 68288953, 79194823, 22922477, 434591191, 645431406, 193633808, 626371634, 265175028, 1018951715, 636483575, 857445609, 27115585, 2133873, 836182651, 84677633, 730302219, 658325621, 1043861945, 629023823, 326685708, 948363036, 682358956, 441860929, 272415312, 1047493291, 179366292, 1046463451, 97853914, 764782025, 917027341, 619015555, 687436873, 410391, 774956938, 981065260, 18048594, 150045283, 372463021, 393044576, 420471967, 223638373, 984764468, 960689351, 215076594, 339616725, 1072396681, 195720234, 480358009, 231711664, 725990428, 1000474473, 31967796, 132359092, 506463250, 880278828, 496609479, 649316843, 495856816, 582202001, 563221222, 982526444, 72017365, 472565755, 501784686, 572160379, 67154798, 561884469, 402992958, 283137156, 282596267, 236088947, 554123637, 143839040, 846722001, 1005782824, 521038765, 932713948, 695523209, 543361313, 1007734567, 186091618, 22023707, 373389426, 733180249, 592146143, 28881286, 196912612, 211621200, 781686988, 463406088, 234298788, 254411506, 719197120, 544931850, 674433527, 616678035, 28656832, 642976676, 552688336, 781362112, 207746796, 335593708, 339236084, 789131834, 789776325, 354179190, 515783913, 157421911, 302032033, 512470290, 923875818, 164292535, 892783913, 452260838, 844882096, 691502284, 251031852, 985970539, 255612193, 942179088, 521216463, 116845496, 645831560, 279968590, 837065923, 713722197, 476932432, 389250775, 800163680, 611989294, 29946273, 648765566, 911298822, 144447804, 344082545, 433366591, 71368956, 580166309, 176664892, 1058637990, 351901937, 663584775, 446907894, 966977005, 35943852, 1003707222, 435787794, 638758375, 868629946, 22068398, 509369026, 308025111, 780123940, 599724568, 484925849, 599786719, 847196779, 874674814, 139361860, 601972472, 162630346, 719314863, 156390855, 930274867, 487583440, 317369129, 200923441, 411227970, 1019433625, 121171217, 568885880, 836553051, 175407018, 7899654, 893251181, 409437377, 383053459, 346223153, 508648278, 531279423, 934763609, 837165800, 526249414, 226259924, 598591581, 374976642, 948207249, 656967840, 927766073, 950049222, 804859528, 637199665, 992129085, 647312112, 165672105, 559218187, 546959990, 931192225, 942649975, 340141866, 65442273, 128094952, 38292438, 662955616, 376610717, 718758031, 300460207, 863083626, 986722258, 442043047, 631178072, 454548856, 892171778, 41811167, 312621952, 113764969, 577512518, 267989489, 1058653560, 114061217, 886405484, 687275555, 662955137, 979463148, 477077897, 675069578, 677246672, 126734492, 531453933, 282842464, 1012602081, 183375559, 694402818, 351090768, 341100060, 120078805, 78509799, 294989943, 13047115, 754710508, 189680555, 364446809, 277140230, 208918419, 829116433, 591499842, 1061102915, 308069416, 502008645, 84555686, 842882166, 792483192, 220072697, 1023666756, 456283511, 475314215, 951620764, 899871050, 226834044, 866979949, 501639915, 302652031, 43704988, 207445538, 794172312, 364853908, 620318316, 844097515, 959596010, 819981864, 1072584819, 944637927, 411446684, 958168479, 805172493, 815280704, 133788345, 853967590, 29468310, 319546531, 805264898, 244428863, 1054284889, 198867228, 1023205982, 323036064, 11325387, 946015827, 29946006, 213499537, 608619265, 1061842083, 457406238, 426310406, 176049737, 618733055, 481245899, 31738847, 202603395, 409238808, 515221511, 498621085, 500648852, 784477224, 1052367705, 583706650, 793838370, 865837968, 312568400, 834534508, 1040225524, 548921964, 107743911, 721367088, 208928773, 777764343, 729673818, 919312665, 601573086, 1050503442, 226197182, 1039526102, 221728118, 796054659, 985741144, 193101299, 72608159, 291921941, 616697695, 609090752, 883027348, 185080361, 887593765, 496959959, 12284649, 40465725, 684183893, 116409676, 862813683, 1057936469, 403889542, 505896713, 48249123, 302404638, 320072743, 410325754, 314206740, 882147421, 611815120, 236039095, 828601660, 350379969, 304857887, 472473971, 1032065915, 265700251, 565665924, 1042549767, 284810160, 249040457, 645452850, 639966322, 536256261, 469813673, 182660933, 264836429, 520912972, 212505260, 528347783, 359279388, 628101735, 901670983, 891471211, 963408487, 780259397, 619215246, 660306497, 20630453, 1026478652, 407161425, 576729063, 271555640, 914406091, 652774498, 141464733, 327327353, 158672641, 352717586, 208600111, 1030928318, 712829560, 267546605, 560019144, 976502210, 596894498, 61427311, 335438183, 420404313, 574121300, 1041658222, 417430225, 301443895, 834669065, 526530862, 686183515, 191209729, 268212366, 681165261, 82673336, 169369652, 684420814, 211653258, 856393197, 972820742, 466533132, 777468917, 1047708496, 777866517, 61965098, 814919044, 429554576, 502924321, 899502208, 701926271, 350170368, 601019011, 147041638, 229402653, 153038532, 459112089, 31062984, 868053742, 966033868, 343229572, 651077673, 901429941, 297282448, 280877329, 650055121, 396778686, 351563250, 547375073, 1020723047, 1056909752, 313514477, 1019271429, 868388158, 156696560, 578184033, 809395411, 988322541, 976034203, 417357224, 949784994, 825401371, 678380117, 637959619, 562519277, 671225501, 476937449, 224923292, 478677895, 125219694, 13039399, 193372101, 243081441, 1001983536, 374804286, 847779059, 584781700, 302920629, 243060154, 347591847, 819388777, 965140928, 34235028, 967331594, 709445389, 637526643, 562176711, 804119845, 858304222, 93765888, 811899896, 826114558, 275498483, 338171770, 186235742, 1008308795, 137805388, 402532972, 341208434, 566375043, 73613291, 479182940, 743241915, 475837629, 523005822, 925597222, 406291531, 1003104193, 274717376, 1032988425, 916799020, 321241321, 420353422, 660745826, 305104769, 729883651, 165727751, 247967367, 511600595, 15836641, 657507325, 930228993, 356053493, 16864016, 551189797, 972516843, 129330824, 215248034, 1017293786, 168664061, 84906569, 664155321, 579980925, 632144559, 332106942, 796028609, 775547092, 716383428, 946213603, 940825453, 36378396, 822478162, 74179810, 771374841, 325788417, 41296757, 253120937, 837200989, 820821430, 365144687, 434864167, 866351374, 1049030033, 237112124, 678276490, 95474591, 378761019, 459245273, 95661808, 277565918, 284596128, 77208410, 29405695, 382587955, 986822992, 783293179, 600448565, 698041619, 357245233, 373470303, 625526718, 993693983, 303909214, 780304424, 803552459, 230152056, 366376716, 447925726, 73874524, 766886281, 303533565, 166850108, 619920719, 326930574, 829937777, 511734649, 771861882, 333184488, 997394789, 237591959, 182929351, 544603730, 86492159, 672158137, 437245430, 1010873942, 673084751, 481539259, 505952091, 599922278, 1037714109, 902852510, 245984021, 324596555, 888347432, 600660640, 1017537430, 779676589, 34320443, 703684668, 99299016, 820734821, 32982417, 421127718, 498638922, 102244284, 78112573, 676900404, 531975959, 824770963, 619509307, 798117866, 585848254, 114465905, 98105954, 962416377, 200682115, 702124278, 712901219, 564783676, 971392052, 499239498, 1069799214, 14601899, 491096504, 781734106, 57450156, 988752473, 605313104, 1043710149, 836649176, 385647355, 414214559, 153767009, 1010032788, 183372657, 121061047, 302923876, 946475272, 34285524, 390055841, 999209143, 697138605, 759178117, 36269761, 346552526, 611036734, 226105311, 629263420, 179505302, 687133234, 792427249, 328684580, 1537640, 666668258, 483433588, 413280790, 91118848, 124441106, 569682554, 801672573, 434854478, 247736839, 557023410, 805862064, 850329371, 972681050, 398349288, 389819299, 448066937, 497304396, 84439733, 469126611, 631093174, 341544463, 306175064, 910296766, 687151050, 879654718, 270861839, 724188804, 149063316, 217660549, 1048427531, 525140816, 832197875, 372411940, 336375012, 15636202, 844900837, 245367000, 364912637, 898133371, 136869666, 1067307103, 104174706, 559383767, 792327427, 730077741, 133490617, 13672533, 16613660, 775428676, 770664219, 598010480, 396500826, 255983032, 705027447, 816952780, 383801866, 866687073, 694858740, 33065052, 295923619, 19342575, 339797169, 538003147, 5083037, 579972955, 768433323, 249556385, 960765800, 963589241, 525777870, 687972625, 987117734, 511794439, 290484487, 282111616, 144921270, 884282373, 1051394173, 3886953, 167492404, 1055910179, 860848129, 91650709, 1054832613, 936603421, 75324675, 421399373, 807236561, 74852363, 966128813, 130043210, 736561754, 126902513, 669062431, 492198836, 385227094, 545482982, 411571914, 218580464, 673224447, 813145239, 155392311, 524254810, 156542435, 943693273, 319776357, 876915534, 738738300, 621256115, 147700796, 710461197, 945310618, 720687546, 832149319, 1020862448, 966497930, 977831618, 322620175, 611601336, 241356433, 205593692, 128288394, 467053050, 175360943, 588581355, 1027441537, 1018006781, 343008116, 468516819, 658267690, 539886470, 572647547, 303432781, 570573186, 411651490, 928498648, 953140329, 93334536, 745167536, 951115696, 38654304, 472423795, 271719570, 412006025, 536556369, 380298168, 124346770, 257025693, 813398583, 1033924222, 906442972, 541726272, 896314932, 820662288, 629773296, 658314920, 789259169, 972908966, 1041161942, 711383549, 855739738, 152077212, 385806009, 265242089, 727947301, 115498333, 47780980, 374430273, 535465172, 901414291, 933836388, 608168916, 437004979, 437589627, 903100086, 163365238, 778597814, 701534887, 656493285, 543772590, 1057223913, 175123085, 824591851, 718424378, 846491829, 711051087, 919257780, 647260259, 34181037, 611755647, 813729827, 174734500, 921663293, 596488032, 1027606800, 953577357, 222596062, 144849919, 413021552, 2635362, 874462430, 114086941, 705136161, 140200247, 312173069, 791023024, 522386752, 167918745, 146048366, 802264918, 12265611, 726019892, 127505328, 665695754, 23851435, 917365690, 888140875, 487008779, 741729017, 785975959, 468776515, 794776321, 121790141, 269602769, 124011059, 38684706, 597916332, 681198094, 263949896, 300218189, 11823861, 696570794, 171112133, 310692271, 1017683704, 878281641, 319757500, 253303817, 1023070491, 205116914, 1046153140, 182974571, 295922595, 85983647, 348384399, 181030652, 182561070, 750045452, 979231737, 574268072, 609714663, 650476997, 938609438, 104173548, 724301829, 387554298, 974961191, 86914402, 236452747, 91478256, 867495778, 945229589, 172584377, 315651337, 452099447, 1038979711, 947839807, 613187135, 16178312, 318122331, 711678153, 130283731, 560746986, 159718133, 147759913, 714836889, 918523947, 974482514, 686086805, 959950584, 1003074194, 391816342, 742624823, 932406175, 227045417, 344216683, 270111592, 240648195, 332421817, 608721436, 417030649, 728630404, 452496649, 172726723, 117048964, 146828728, 247487960, 174082403, 784100722, 493915889, 65052246, 466637242, 221237280, 8039322, 174917182, 1029999806, 323117282, 252934760, 992622132, 96421094, 394507446, 588031527, 201116670, 19830691, 739559730, 536533346, 645532794, 698411279, 795269902, 565494453, 533098610, 1037153872, 596903719, 506061522, 168329921, 556111721, 660281172, 239815042, 494281311, 739002791, 183006012, 784800371, 607024390, 663344001, 241121696, 473176889, 499058344, 758534031, 655269508, 5004589, 330669239, 104546165, 317472682, 258552599, 441732843, 175987361, 148667490, 854725204, 442527496, 605848388, 99052778, 167504855, 40777338, 342260719, 154587233, 33440877, 773697500, 933486377, 597103169, 168333467, 1004507358, 642430924, 551770950, 835704061, 26022681, 719056113, 526403034, 960022934, 198720464, 177641233, 529296909, 811802991, 743578806, 837409582, 296327713, 412365641, 891456857, 749974568, 190836713, 978518461, 1037097173, 847110765, 151723209, 64734225, 130422711, 491636189, 641230331, 140116649, 928212504, 923957556, 602915474, 587072035, 482078811, 1000116922, 691894502, 262759496, 448609673, 315296211, 653248772, 433930746, 237494497, 351107809, 952192084, 500153326, 734918398, 129410496, 174065296, 334185698, 412775299, 698043248, 638093363, 378918678, 783531823, 600116932, 228107757, 771498220, 920077091, 1021026386, 207205164, 70483363, 3546820, 888171461, 1035928820, 254981426, 602515231, 1072453819, 923641831, 429844350, 345412680, 643541580, 305038656, 1026841860, 185133794, 67667891, 1033203589, 949571973, 692600711, 861140073, 906635182, 849361155, 44953951, 501099332, 625861192, 390110004, 387483986, 420093797, 673545366, 1033210719, 930509374, 986951298, 402963149, 5466803, 767465883, 884687020, 64831612, 318948269, 220778161, 544336835, 190534012, 46690413, 615086286, 343745684, 249879186, 622012370, 1043283413, 413032900, 643526469, 189257701, 387374934, 791437547, 640436170, 965941635, 645935810, 638227527, 457790722, 706057481, 946370575, 275257880, 506882849, 836028211, 494476091, 530816935, 683157851, 2610030, 643883351, 826963002, 1025373290, 581693600, 387615151, 388613200, 701516458, 836465666, 791232035, 208043250, 1023419715, 302349268, 195409001, 957872238, 796416462, 478716277, 323408781, 632144999, 998306276, 246326624, 1169307, 519244244, 254666782, 654338855, 558420081, 768917211, 93623095, 332658146, 684340417, 355146011, 1043810010, 538946105, 699325623, 873451860, 93320556, 683784503, 208254531, 422338506, 999507004, 317966098, 510315013, 538656087, 272013823, 709268531, 138674029, 1067164548, 343951762, 816790723, 278814142, 929548111, 922362938, 903757777, 435392145, 741984699, 793232449, 809367523, 916236813, 846121175, 188651077, 111246033, 357302185, 163399716, 543003035, 767470547, 832037505, 993782170, 827606051, 289523995, 629711739, 923476040, 18735723, 883309347, 775535856, 2381200, 544386978, 853533814, 425964860, 977336529, 38057228, 503809061, 224384753, 1034392650, 845779786, 457570652, 1044262889, 571441932, 559454445, 855923845, 545312691, 78753016, 121514018, 423519640, 128690296, 1056677410, 982629919, 278013891, 1054673450, 183194876, 832497953, 957476939, 214123289, 200865317, 204326334, 305789132, 795435092, 1038767181, 475613183, 425982060, 869862367, 634708165, 672067255, 653990058, 202625435, 51709230, 472588562, 1007570065, 269692019, 760736116, 33939066, 100836217, 737483364, 42267024, 162339227, 292394929, 220317435, 1025066755, 54253472, 719800628, 606275700, 331637776, 277826707, 273011614, 1020762715, 285526447, 561030639, 745434983, 614859800, 646033605, 974578489, 1060021631, 107073888, 227806784, 704570872, 237450748, 605384969, 320818598, 697909418, 42559010, 921639755, 209656795, 756064250, 950787030, 106042030, 56716641, 910664540, 1022388854, 759918794, 1013665384, 929296461, 431784372, 1036123599, 266136823, 543484365, 1025749188, 883099593, 810423926, 707951838, 121072018, 635562096, 157166198, 508757819, 145188529, 115084372, 70294287, 57857008, 447927301, 14738229, 357325469, 354723793, 95072549, 170149711, 81325246, 264257638, 123264788, 277250394, 785099202, 110711177, 634918561, 478605142, 924389454, 876810672, 180995098, 261578691, 657605779, 706448539, 178600683, 688578499, 654733269, 424218665, 1028721824, 962192451, 898417040, 237131903, 230410991, 507357429, 137767754, 206438851, 492613282, 554306609, 371934271, 826127198, 277417691, 990687766, 1019473239, 1025823405, 546035695, 78724719, 672941622, 725202277, 433257262, 508366931, 631725302, 441580845, 255616892, 863949524, 349214761, 876038626, 534758078, 972539699, 718123446, 335282880, 451893500, 571434914, 11332155, 131706788, 607993370, 835917417, 737058913, 378492340, 531813246, 552772599, 267031755, 808734368, 763947628, 127532188, 852984115, 924993343, 33293709, 302046292, 872717314, 384181645, 652236804, 986331447, 159570422, 988543031, 657210973, 38274306, 720709277, 747593319, 578584392, 160558172, 455052341, 887330945, 768185917, 795019996, 637098443, 107171261, 310768182, 967085013, 935913985, 966600034, 342550224, 275126643, 468099369, 125447370, 430597798, 864030542, 709924185, 482997196, 855063056, 324480284, 381123330, 584843523, 1008412112, 819994129, 760484239, 465912232, 1066184508, 497262000, 536214967, 525997796, 994683598, 782201236, 252793114, 793044737, 371809285, 254712402, 582536648, 662191703, 453603503, 614216259, 695963802, 269427974, 24143371, 700932593, 729065411, 320814623, 940827050, 436496938, 949685873, 704868872, 248413037, 1014270501, 117873363, 210306716, 343597363, 185492927, 44441347, 886230283, 609586104, 983340737, 841835157, 766422616, 1034371427, 568907977, 425318493, 930279528, 89869581, 1019855699, 616878651, 807790654, 812671077, 817613601, 305148280, 963727477, 965047645, 1010399505, 244221660, 203588633, 87407314, 155704710, 183449466, 814956109, 909503609, 631892417, 529110716, 546020478, 667206935, 434284211, 837447386, 698298113, 247604684, 842071417, 951027305, 973813827, 366120955, 284818172, 488831211, 931308337, 329169998, 197577474, 517545522, 564506392, 841860780, 517366834, 257160811, 158306566, 261416777, 378497288, 470857053, 372943603, 380265144, 513717316, 654957233, 1058078125, 348699964, 831636918, 463945784, 506454215, 669411782, 578680953, 464177597, 947849150, 701913558, 566701213, 934953677, 707976528, 722520799, 509381185, 136347055, 779350462, 408276624, 697574323, 256170509, 813734399, 475941606, 414258872, 414708777, 658558857, 674704974, 269729799, 268109569, 43748236, 178413956, 870407291, 928960829, 235912100, 967600434, 943106761, 252248599, 1057151129, 975773002, 16295804, 411916350, 116397835, 180221629, 386635913, 492898019, 6227985, 179424347, 527918080, 168065515, 461124875, 201308233, 690871247, 807200472, 1044793368, 815153697, 409834469, 721166634, 757676417, 690550471, 221246782, 296791746, 678298895, 992663897, 240456987, 377778512, 641607112, 755711555, 479186566, 489101788, 364347997, 293191076, 1035367694, 166225844, 582877132, 859523930, 360974086, 645950563, 754485600, 1066700480, 157509224, 427948775, 586205009, 688692516, 737276108, 913145041, 1066771382, 291391859, 1016516065, 379736870, 752384820, 263180625, 1033413354, 524582240, 94763861, 619949029, 103092073, 280983663, 706843003, 975956479, 492749566, 144865912, 290581652, 73919132, 329055657, 214842603, 505956006, 866284236, 658431862, 233552203, 720030108, 780173294, 600184090, 149732443, 180981617, 767801978, 73355179, 33220457, 783995391, 564029466, 121171944, 640970076, 799747107, 82550600, 517025054, 308725432, 60986820, 276546207, 358180612, 646204667, 977721486, 689117195, 211496659, 819002856, 1045007589, 860160253, 360561236, 700076758, 826073140, 903860980, 297254091, 21491710, 439713839, 899879389, 220516979, 409277664, 917604982, 595309114, 499808865, 57365564, 387735605, 901046256, 360516710, 775918308, 161316582, 894791768, 1031547084, 819792323, 681356214, 225298362, 180819882, 703393445, 711880586, 851198884, 710590855, 1010511092, 561727946, 472853187, 295547906, 374287969, 280360549, 623670360, 241519847, 191293426, 419415733, 732845212, 41622730, 1008228778, 35796278, 254648046, 918164137, 143001847, 476725641, 1072261856, 52631445, 1013498321, 916972192, 287992211, 814605604, 910183092, 172425134, 773428890, 890104920, 844858091, 440643964, 330596001, 454164533, 896286397, 616498929, 829296371, 403847084, 611471940, 445166903, 1029243032, 845409635, 510490222, 772055288, 264361137, 463164091, 491874831, 301991625, 345552691, 531230306, 1009224135, 329842074, 377679463, 23810620, 130054486, 524112893, 615304198, 428974494, 131090604, 603130991, 165963211, 209884673, 511378410, 736423220, 651692903, 178284896, 322275023, 183543299, 968957522, 1029829217, 801093214, 244494504, 414168051, 90217017, 210852157, 647742786, 1038998679, 943179868, 936940556, 782283808, 69543868, 734439786, 712163385, 255011133, 3313591, 678840734, 937324362, 698159542, 1070613680, 542043370, 586723144, 592669608, 7548240, 743089013, 280388415, 96978042, 84116343, 1068783619, 755287846, 818184143, 411996032, 816247577, 812999771, 467749922, 360978365, 566938983, 866559562, 297202172, 451718565, 657827239, 284731461, 137199429, 921995008, 61758378, 1030851740, 169396212, 968225692, 666327071, 350347786, 880507558, 297410040, 976736344, 636961967, 30277911, 990400321, 288207139, 386930475, 109310, 116623360, 525802793, 143360976, 990489591, 858493987, 921203826, 281457210, 105782459, 122503858, 848516940, 471266615, 637128906, 913281533, 252570890, 456212915, 644840729, 882770774, 872010895, 84464745, 139752311, 325822886, 100641921, 878543195, 870593082, 397819210, 313290253, 248830313, 379038334, 905868306, 707283561, 299935692, 903144661, 187549818, 65830142, 356183605, 358359017, 124051725, 856410213, 763812561, 520193735, 821789980, 743311857, 665292429, 175379792, 384641096, 554255302, 712335815, 62632004, 86819829, 138126782, 1005824211, 601661871, 127567082, 437018983, 425073969, 513029297, 200411921, 88944185, 271318927, 760270508, 985869145, 730509736, 1001964516, 499962719, 859095704, 113446596, 786732264, 106984792, 1034070616, 271150928, 999694292, 386946182, 588921301, 584356547, 192515087, 62085893, 711615512, 578548194, 423182228, 898584830, 1005094607, 1009802373, 150096694, 757210434, 518887415, 658341062, 276764500, 579619541, 164120460, 627389045, 407553809, 303982658, 813382638, 130184176, 929616297, 307002370, 388789750, 419846310, 505388448, 641441641, 931610985, 884550276, 707025786, 492291973, 524290317, 466679743, 160972883, 800228025, 729150777, 1041515631, 818753867, 666015506, 65850264, 208386753, 922863717, 204548582, 103327624, 796591097, 793516918, 139414351, 954756023, 684349005, 1073628117, 245973128, 345485492, 600598866, 392291053, 525341841, 288396733, 646839287, 898021818, 1057251628, 1019202385, 1024185691, 75559834, 795013465, 207986677, 19639794, 513600050, 988924830, 1033344630, 562479730, 651809049, 54337375, 534769159, 349711702, 826540474, 16607476, 970977969, 447906959, 633655968, 78532877, 1000359423, 275145484, 131413946, 655051323, 585968960, 680699890, 580874287, 82848525, 194210019, 615884124, 165366680, 890132491, 194921397, 733616302, 1057744862, 756668080, 323839655, 979951757, 101502840, 154650614, 657359055, 885358730, 892433759, 195679667, 903001302, 680027451, 481056811, 955945354, 540891723, 217709645, 567854845, 526799310, 1071324153, 773708408, 538203632, 795194533, 303414781, 557545663, 353694527, 717463822, 838058969, 671386671, 291710141, 196730104, 566536573, 1005662234, 888247561, 720645320, 938446842, 205917828, 249398505, 213288127, 88246098, 831729505, 317600772, 427463008, 151731344, 566651208, 190638145, 716617337, 794250367, 166929967, 1055461187, 815727811, 154752591, 150136083, 195143727, 773299408, 728834317, 248063265, 769121645, 666661099, 90298921, 569837177, 1020569420, 459395736, 686614735, 552523252, 661468167, 36039180, 32756565, 267346467, 1073565857, 238982136, 179113780, 863808577, 736562438, 994327183, 344354961, 791286501, 817885409, 727999761, 1012859235, 669683993, 745050079, 532185884, 143829297, 454844567, 528318491, 533336930, 1029891808, 328358062, 606941447, 1062388202, 976750685, 345565090, 864239222, 480728620, 22082881, 527541918, 454720305, 481982236, 963264619, 577047041, 1065436151, 42201932, 294783213, 460410075, 83122826, 179068434, 714581781, 901754007, 700381706, 664745621, 130552961, 793466270, 412547844, 522643171, 534130743, 718820761, 1066132062, 498268219, 721789071, 1012539721, 227090193, 239506903, 627008424, 1052060235, 950343743, 656439335, 997047557, 488428098, 665601861, 127468089, 679187528, 448469717, 343349427, 1039901118, 544238043, 327200619, 606630995, 357468777, 1052989648, 1031908660, 260385868, 526316480, 781165372, 942898705, 932833167, 799943104, 675134339, 1033700596, 364741820, 150613147, 113948438, 867584257, 262463005, 220753058, 233149985, 229659610, 607151660, 987025149, 849413035, 951523821, 132587622, 277607863, 584060854, 594547030, 358240660, 182885397, 51914118, 434434432, 482377465, 539290361, 199183597, 886341441, 403395029, 716658029, 178051930, 596389183, 594991846, 573113966, 930102523, 534682891, 504813290, 151104915, 312358505, 128420250, 542196714, 890366286, 749861048, 786170842, 1996163, 46195444, 629324170, 979957374, 68808431, 190412488, 243958526, 282834719, 889922087, 747985236, 32120930, 593625310, 844955525, 463808869, 294965837, 268919148, 2636529, 631716227, 123337753, 475566128, 962416932, 925717523, 347654095, 42762089, 37955597, 399826955, 707066363, 272669992, 683753225, 338323419, 271187062, 724403165, 907286306, 958218114, 900543285, 301851212, 924142396, 772276782, 329032049, 232062470, 268709532, 129220802, 434736960, 940791755, 422877030, 630460413, 948627791, 406437866, 922692577, 609371371, 505262817, 528248581, 963265118, 658355082, 137061295, 432780659, 670253190, 341297256, 488115966, 598406728, 690057060, 115832520, 361688964, 870754801, 655995407, 846599448, 385008542, 106192428, 348498360, 772092057, 339753668, 194339111, 926799822, 546396925, 550878575, 115535954, 62403896, 581256899, 255944854, 420878966, 885466841, 418403944, 120268020, 350503554, 622037845, 1052572957, 263356991, 42074017, 506939235, 964391654, 977231912, 359663953, 760364490, 35637915, 477198430, 1047551849, 682760396, 795000968, 843245543, 143410317, 807746853, 98604649, 533745772, 527704891, 879521136, 872463153, 146663481, 111214554, 424495880, 8147058, 414826381, 780318316, 624290964, 636551108, 214609933, 757085050, 383893825, 723093902, 599004153, 638907752, 949122412, 646641015, 349682724, 860064151, 923447287, 549870205, 229196473, 881405390, 613076408, 376972540, 884225579, 682668611, 1072353423, 64038348, 511637266, 595405195, 309087141, 736905143, 345780793, 1030707103, 142760283, 903092581, 7908740, 23092825, 356078483, 906932561, 397645086, 1011229657, 423156825, 286129883, 740793571, 238945075, 752338057, 990829509, 169835852, 230809999, 373759086, 85673862, 117518230, 138137888, 985837047, 1027925231, 79498131, 93036178, 609848691, 16978361, 345335574, 20397765, 457344305, 475447179, 4604083, 580268597, 809067443, 1014434852, 403763762, 675387965, 302405533, 499785806, 399749719, 332657734, 13160108, 78530896, 891868771, 919195334, 717360409, 221888113, 905280531, 435756738, 608182375, 306228053, 210211120, 524430464, 75996336, 790260742, 830315045, 48513789, 702294241, 518624807, 162824155, 1013340052, 61444177, 501814744, 737419260, 1030480322, 1048815969, 602424001, 528457487, 841838769, 53740976, 980230615, 13056201, 798928060, 46553433, 95544650, 1050359890, 797115623, 933798557, 253111615, 851722939, 1010319726, 966702876, 472941412, 401568844, 897492442, 866669353, 238057692, 979392157, 433335686, 860096136, 665435351, 45006927, 99695799, 429607084, 631686155, 716061699, 211134490, 25217839, 481944495, 813514380, 1009914249, 302999129, 1008094385, 118374228, 29588052, 707946241, 186590849, 825100745, 558951535, 826948751, 806104146, 488163948, 88496264, 1012690379, 827532017, 222818614, 189211777, 624224021, 943902230, 848261403, 19009322, 904442374, 967079315, 31817756, 921240328, 492490294, 472210742, 497368553, 740049812, 92838901, 880556719, 340907739, 1072494950, 534226516, 1057248469, 856051726, 552588947, 1037541534, 930826763, 298703761, 1060371845, 274058403, 708496893, 991939922, 686936681, 535062745, 879362507, 459804233, 456738861, 558895605, 655913475, 891230329, 450634403, 935785448, 790806285, 1067764338, 647950318, 558605496, 53424655, 979827203, 205598152, 240251532, 425515731, 757831493, 407609321, 53518566, 921196551, 1059620032, 552424997, 534640013, 957831928, 106121208, 689422056, 586312402, 558242340, 894734661, 845863648, 112959584, 833266564, 587430091, 278935495, 419212506, 925530329, 108283035, 405240515, 377532315, 55340311, 130799517, 392188644, 62387087, 731213279, 81410109, 821010005, 934336519, 232937256, 622651415, 304793587, 199359139, 924379459, 831107238, 196664321, 222118966, 399564935, 672093932, 428646719, 645339776, 727350209, 801061379, 812124060, 774073290, 162769241, 664595817, 876338784, 1006081550, 786888737, 752999290, 686585875, 776186746, 561634179, 107860174, 461608670, 160890301, 458387005, 649535518, 745524923, 885786166, 848357540, 97195697, 335482399, 664382596, 18185919, 619886075, 893744859, 363638727, 41773729, 825750716, 681537041, 897172053, 28270344, 514377321, 393651096, 180163990, 347496723, 1009414121, 906327419, 539023449, 975359759, 1072461977, 401831713, 956739566, 159412378, 570909257, 953865760, 233174328, 256461165, 751220143, 204865076, 665074145, 365435309, 62582983, 244294912, 543176972, 779836501, 690781993, 16886720, 314154844, 1040035659, 521939578, 450061982, 829859694, 891478460, 824674649, 1032595903, 287100365, 1069241089, 176522595, 51829251, 453269844, 971217551, 712244822, 651823724, 812032264, 862018641, 936812345, 829219921, 483698670, 721002407, 306419420, 1059374974, 11595025, 511817534, 992457377, 950926586, 652807767, 142434501, 311645272, 175733707, 144409235, 810106760, 784521710, 370307838, 469247758, 378812268, 620803029, 396934898, 298884061, 129363002, 689800058, 588853991, 667341546, 1013792966, 501747059, 556897580, 909737974, 163574633, 373854037, 40447312, 198369812, 426704810, 866294179, 677434613, 495065549, 990915083, 674414294, 536302706, 157653029, 689770802, 610130383, 888950721, 310443817, 320501103, 167463148, 440684174, 592684001, 67929257, 41666994, 184198199, 5500646, 504897568, 576613527, 515019936, 53864954, 83525272, 866669554, 16361878, 582718318, 440922622, 901235537, 992886471, 738379237, 290831365, 557302473, 661800107, 158526091, 6979642, 375273778, 937404530, 895897854, 79677743, 150799418, 286704947, 147685920, 604586395, 410240680, 653122600, 188547410, 214235188, 758921802, 250243089, 87051747, 331094406, 246053439, 517976651, 471765178, 518488353, 825954043, 664343630, 2860567, 825394615, 490554924, 715052245, 687962838, 180031395, 434404122, 587470841, 715101593, 197481800, 139132933, 1044193193, 509610414, 3876738, 332156577, 422466192, 560253517, 732859167, 619864345, 332741547, 448893532, 712423227, 72492611, 24993829, 530474229, 924692594, 31911672, 114338655, 613853144, 344768464, 268385322, 767877644, 294985480, 59329604, 228725386, 543157447, 496028043, 1009537382, 83952177, 870935751, 612120526, 428616137, 335272143, 994853580, 414244076, 1006353201, 145936169, 79892536, 1018929467, 983552471, 827490827, 169403857, 8818888, 295276842, 986887683, 840712506, 458934443, 351004011, 86831405, 59451037, 105502014, 134524970, 865090023, 15473131, 817128722, 68027467, 154700131, 539210256, 714935834, 550233371, 114763804, 706331631, 58325648, 870297661, 590381650, 97936386, 296601653, 505381320, 625772601, 892215201, 83213808, 614746051, 234052329, 576066767, 494557220, 423435004, 608661196, 981812199, 921821441, 375976846, 1044209016, 656639752, 116468801, 1071047480, 181682411, 395687985, 388987015, 591989775, 651292450, 272321940, 39716444, 286889026, 758895107, 885556032, 711037654, 528758644, 263512899, 288026782, 815664180, 822336265, 100729114, 126410364, 288641045, 148439361, 916045762, 120251045, 33655981, 493579839, 834775171, 208137849, 844564606, 41193025, 398869231, 64381550, 740968626, 772823457, 707263050, 727317711, 250438489, 324903893, 625923093, 78277429, 151623209, 901521515, 759184682, 681595073, 178299445, 181963941, 433581378, 734599010, 1000508596, 651751379, 256676897, 383407048, 699425990, 852985621, 848535960, 422305948, 417310764, 215448235, 207837665, 562628048, 376216288, 918358153, 224650312, 336413609, 699842143, 725765647, 935712002, 429094938, 683308935, 570816842, 874066004, 860143098, 417961000, 533344728, 498517668, 615036258, 76394003, 261526617, 520056280, 803221836, 180955101, 380248742, 857685518, 998575079, 650068791, 422892892, 758541311, 202875679, 779882293, 202770684, 9478768, 32809104, 450455799, 219233846, 541565562, 957527206, 33696035, 434750789, 1022412218, 566883659, 657276131, 751269895, 74217654, 398825161, 231380877, 232586904, 136029033, 877207842, 2313843, 9043419, 614332311, 532211329, 867965553, 536818400, 579268186, 592713481, 329083386, 800272748, 94035072, 830547732, 597222071, 64714711, 541022615, 92457404, 321022373, 24618442, 845622444, 374162718, 462726091, 462905195, 826329290, 996175741, 474656757, 585393623, 287252606, 479038235, 580636050, 433304398, 237047002, 95310117, 822045202, 56459236, 658508613, 870299969, 385729189, 436426661, 146182506, 1015016455, 756968509, 500620868, 572361510, 156952343, 885954712, 178333234, 99050380, 753038518, 605380122, 542719535, 971122464, 910887417, 606233915, 574125932, 258045542, 582539253, 640018827, 25150269, 324685150, 878680754, 967429090, 223633359, 70647528, 473202998, 135729, 165424750, 52274754, 228988735, 142076720, 1016454665, 775916486, 813852184, 760271941, 252791498, 973843507, 849829028, 473916863, 398631904, 39732935, 319652885, 610541926, 922095572, 744858866, 850354409, 378695462, 340657450, 995202096, 832346941, 752868886, 1010841965, 618607962, 795426231, 464231868, 311317744, 833595151, 266389143, 943078190, 686578993, 1034033620, 1042504075, 479396195, 421688947, 550751674, 210365397, 418279920, 1057084050, 622192267, 361851251, 825735728, 54965257, 1064401504, 987916221, 701770102, 354160020, 198204741, 561996155, 861784132, 293660709, 1009554760, 752729209, 512729254, 310097764, 811016628, 543267935, 378557070, 274364426, 837703518, 418922285, 831852476, 27019082, 624285421, 507078254, 747373410, 883118189, 577618156, 906070036, 431736026, 210004788, 775295832, 321499073, 552407773, 90322696, 259765273, 782845653, 630500548, 817445041, 55813541, 742337193, 196626295, 484587134, 1059454927, 929149339, 273868627, 161080469, 330215643, 907564333, 334575083, 272198285, 540173748, 994378561, 279128749, 186666345, 772308742, 1018912721, 977803723, 779158458, 143226602, 276245496, 509764834, 361042748, 807551168, 210311116, 86622714, 978447549, 510215220, 75834389, 969675660, 402218036, 250806682, 280635073, 290050206, 1051985256, 448316370, 260618061, 539978924, 1036261721, 634612263, 445071731, 507579226, 728917721, 12653536, 572016724, 132775594, 236490131, 920926968, 384109842, 873090170, 308182429, 467556728, 547134527, 740700672, 812227852, 784553922, 470004963, 718022808, 1062076254, 1061035098, 1048622791, 785844359, 1000372293, 613706402, 679917730, 118039606, 646232160, 520756806, 381924597, 116283966, 912074926, 426513640, 41655989, 228609745, 2847758, 389664119, 9507157, 180950835, 223852925, 247874247, 242879968, 793399031, 283195639, 575112195, 894967598, 577187123, 115258974, 214387728, 954244906, 887574699, 325803223, 16319647, 531127976, 297991915, 551612876, 872658482, 368401739, 264870729, 262517056, 1041177569, 432523576, 563146579, 538040758, 288643892, 871585889, 873514321, 415269781, 463906662, 743252800, 864789328, 992367923, 493786203, 271540386, 832235319, 164796177, 1004510777, 559789782, 560435896, 56874583, 826398172, 707496136, 544474342, 25807928, 500861740, 523533724, 379297621, 420627524, 932582351, 1314125, 1065269351, 98773626, 299754284, 341695026, 427475248, 41597306, 306601666, 900470117, 22801036, 758269154, 268668114, 1070800038, 223660866, 1035965720, 997162510, 975345660, 1035605186, 845512800, 1001648838, 470035098, 866374885, 1013187216, 53005398, 360521328, 526883847, 175011678, 435692992, 180500008, 791702707, 217349238, 114796147, 613714227, 378216801, 138714464, 57841709, 131335382, 935073265, 6612018, 1064627323, 142958815, 123636354, 331726925, 440182772, 142261092, 274732570, 1017125307, 337072713, 555039442, 75546422, 266852114, 720766092, 647393314, 204273432, 365846463, 626897148, 288216291, 404127147, 281895505, 571359864, 1058073801, 607413940, 2763260, 228875178, 613292359, 803248249, 481850231, 794189167, 111410727, 489243028, 197032864, 376324030, 861033676, 964752212, 61436062, 562290383, 1070740499, 518710904, 433703776, 411981703, 816258735, 782330880, 521338812, 480897636, 958615502, 31535107, 877078885, 22468319, 885341977, 775270348, 713241253, 370344276, 595827015, 908459536, 194718189, 923223562, 187386259, 313618593, 956200247, 408393049, 146718615, 181802489, 586324969, 960389728, 787532223, 751794313, 485677910, 241856947, 933184816, 913010298, 575580691, 819136326, 143127968, 191866572, 872915480, 794974941, 6918488, 618231260, 1030363375, 494652631, 188484738, 902182113, 998525043, 361813652, 1005697654, 816733956, 27895603, 677183704, 418919191, 586417860, 340891566, 341875407, 406497819, 623214201, 710063677, 8949828, 71129053, 1047825267, 354570568, 594749553, 118917229, 422761121, 511046254, 437617837, 153594147, 673873180, 601879064, 438040335, 729940053, 705548930, 443147508, 553686612, 71756117, 892829142, 589754028, 90088560, 300798987, 652336435, 542098416, 215468273, 22353695, 916544624, 128538661, 227951885, 818279807, 1032879068, 338921816, 956121748, 822158048, 657719492, 309992115, 902363447, 184609918, 582173284, 816697102, 969781628, 5192688, 123614576, 45916953, 3631456, 199512375, 613034975, 868779758, 714138516, 140899805, 1047098353, 925305554, 781856048, 761722119, 338793416, 82066713, 52109727, 1033519242, 151224736, 493844425, 385187882, 172750752, 590765027, 376222006, 683385352, 597490591, 854728677, 932699817, 53251848, 17480822, 791463256, 397122657, 55763261, 559420417, 290557581, 859023171, 380072066, 244062776, 995818944, 717510608, 344439157, 160118649, 335119899, 957557098, 278078914, 818890217, 210112132, 860066145, 21908088, 1022449738, 870796794, 388426805, 348624864, 415754568, 472951782, 942674023, 650062247, 795014187, 348596402, 663821311, 716199824, 810705926, 318859119, 915096277, 587514375, 504148904, 525073134, 319353098, 537939571, 1052761948, 780353749, 129857080, 44876119, 329944765, 541376857, 949234607, 902399829, 48423479, 824735212, 444734547, 185961465, 877607949, 838796390, 607162314, 354844421, 442133754, 389933464, 526514533, 363209286, 642470906, 904780393, 168222751, 925274832, 260990152, 545639925, 191214288, 1022946738, 526112957, 1024351748, 606626657, 376285389, 770168843, 1051238803, 77369953, 61440334, 118274380, 927047655, 725985030, 572230287, 41606049, 952558292, 809401103, 688732788, 350458861, 681993854, 449985972, 1059719944, 772819427, 978728326, 870962549, 53769037, 75984209, 127048940, 835082324, 861583359, 953644524, 594249192, 680535255, 284389258, 643701983, 806798349, 51098525, 740905880, 979592913, 542273257, 88416453, 682944660, 669224660, 788928625, 146244679, 605050363, 311401419, 634174052, 857402835, 13057854, 314343701, 909538503, 406997481, 1036118585, 819328661, 200037894, 130496817, 186930720, 483891921, 462442191, 390884990, 806597920, 984836298, 709974476, 10676360, 662521076, 1014003243, 127367935, 923994908, 960365945, 441804496, 1031414522, 999070147, 438899785, 948021535, 547179533, 113868446, 248525097, 713071072, 757636522, 15700230, 1036945799, 119365334, 165671991, 49299471, 66109682, 23560331, 799264365, 594764137, 118748282, 454924060, 516301655, 873453753, 385105005, 865649286, 177697276, 920292861, 258414188, 726263496, 560870343, 473319231, 263939152, 76014155, 190869136, 264146785, 454190459, 375663914, 347963954, 344865868, 773501933, 220651420, 297403271, 673717807, 1013176458, 724215936, 372801263, 358087092, 776742712, 1058700430, 81501321, 583431539, 152083852, 843721595, 750200055, 1054447444, 733255434, 1040175849, 498097034, 1014746988, 542217156, 117061495, 420063861, 856899844, 439805485, 194257529, 129949038, 212473733, 338247319, 588153588, 926833221, 554098425, 397956499, 235734926, 657192502, 645095322, 816613135, 67173931, 397271627, 765197628, 587108006, 387693113, 810747016, 525695584, 369804045, 392119088, 915837043, 639300441, 1020853558, 716146427, 102685563, 891150516, 474919050, 57131155, 363499229, 587061880, 306242730, 969636043, 997763326, 851716044, 264242086, 429099242, 710577301, 649720974, 528602189, 316972505, 129502632, 551876225, 123299657, 369220595, 1010823538, 491568655, 736062609, 195747042, 736203367, 71930010, 585100187, 820478170, 993192725, 250401652, 567047521, 171027556, 552493629, 330992707, 1045086842, 991414793, 150030261, 619309560, 532630344, 182648342, 856746218, 456488458, 680994045, 819073033, 783756803, 559641531, 1029129589, 355064490, 370810057, 50181768, 77283620, 316579935, 895123351, 816640434, 407491076, 899669277, 471977324, 775731857, 1039182264, 705203174, 228944660, 433863820, 488257365, 473748327, 707211554, 629284098, 133205873, 659365709, 441718247, 477323098, 601518139, 494616480, 369285324, 456325410, 849991109, 777378922, 451423325, 449129417, 797745935, 415805615, 492604378, 752228477, 477831967, 469090389, 911804757, 115220805, 597941277, 677569970, 277013087, 897580004, 13335669, 163642122, 151412788, 587755593, 896256626, 12581113, 135031832, 570299703, 366856894, 813468039, 270035674, 578232420, 308340048, 400763668, 525106275, 440026705, 976771497, 110727482, 287039687, 32011625, 169915556, 615258245, 108816429, 500987801, 189428558, 148505428, 548518290, 404571043, 725614945, 471855247, 753195106, 797985317, 820868760, 60279239, 578351357, 442537487, 10873333, 379342992, 1032678423, 512830279, 509938780, 66308590, 1032699490, 358390841, 941997202, 991022284, 578739973, 51063178, 158490623, 485873406, 13677282, 84053411, 491749343, 872877084, 141671117, 446899093, 574972444, 401193089, 202237284, 85572127, 894190290, 528318386, 777659257, 162933646, 902666590, 174122813, 724238672, 895622908, 833462282, 831254668, 910467446, 1062351332, 950549183, 958276886, 284222742, 766276267, 813665390, 651122829, 498784900, 445485667, 182010872, 835025583, 804268990, 494577246, 951065975, 316189238, 352753553, 231642811, 973115812, 1018230692, 685839852, 28700654, 30664279, 61401086, 1012374729, 856777585, 87363236, 560802121, 969350537, 56801371, 749261128, 280484048, 489912067, 206883324, 814952091, 328496321, 628325673, 974575820, 948121956, 409662600, 13097171, 59009811, 1043707919, 269081810, 453146346, 744467452, 522509775, 907006043, 704125869, 451150293, 338231689, 111833111, 60910332, 69635868, 85434819, 406655251, 924620898, 416294742, 1018024684, 889345850, 206824078, 234112686, 380647510, 306334136, 49905622, 1012251358, 693747269, 823847535, 291857881, 119545819, 817720970, 617390643, 642623688, 354905795, 505420588, 612947673, 79996285, 129631581, 463442055, 457850285, 344796535, 67734223, 605489534, 484477981, 823096384, 882495678, 47948057, 922927477, 625610435, 920918546, 589295760, 869702302, 442765170, 132195639, 407631919, 630057057, 395506894, 520760994, 931344732, 758724949, 795422910, 91096274, 465070638, 77350458, 654278062, 744000098, 959160259, 999832533, 886686873, 228038211, 206893882, 896468651, 1022371131, 244850545, 725627853, 478089901, 755353093, 759552967, 180416592, 120073710, 450584506, 791175834, 727637414, 213670677, 217291077, 141726293, 563223618, 945610751, 604035873, 1021124783, 933762695, 446179894, 677002169, 101752876, 138050808, 399804550, 344773589, 480459522, 100694697, 369610559, 873187240, 1052959623, 1008651813, 931391053, 134784677, 845757169, 898756852, 941271772, 740856315, 991503832, 90731910, 289773054, 125915841, 856508218, 718844298, 930706587, 131195709, 603220201, 1069449961, 373775132, 520560807, 362307398, 285403518, 276276105, 922339580, 936695720, 308534382, 354187492, 991675718, 759577426, 414194621, 592307618, 889948507, 532623304, 902721969, 211953746, 810459766, 617833109, 392777331, 969921968, 1038837501, 402322449, 838073834, 980133960, 1020457370, 165938437, 115696130, 916865595, 775634751, 526956591, 666478304, 961372487, 290418675, 905402435, 772682956, 674049018, 952225795, 475340773, 263341646, 288033955, 541975173, 824663375, 923139797, 139013945, 721457465, 954916991, 151602948, 58787401, 661439233, 831935719, 215661465, 468685506, 154391824, 568117258, 530149094, 56785240, 907689356, 332689907, 1025248457, 553672653, 904333679, 190776847, 471984118, 634395868, 683967051, 1052077858, 525424379, 356439551, 1015952313, 349987009, 1072327892, 868816402, 755314555, 853410875, 828501353, 1050801284, 859460042, 340842439, 748790706, 152222132, 238060600, 757325831, 17591412, 515742911, 61203335, 526301609, 89397200, 211070595, 841689364, 9191289, 896750871, 850265574, 470960520, 178963219, 107642000, 1000636834, 1025436959, 293467997, 570317770, 406593844, 980295021, 454953263, 179427432, 288241445, 388200622, 847564726, 670907358, 395861917, 816511657, 29935092, 813153980, 332816881, 941896987, 256656440, 1028816582, 43801639, 652619565, 64755337, 651385780, 240760184, 636658868, 36055100, 329027494, 954250750, 912509562, 624999703, 475411862, 699677673, 429356676, 101905024, 953453571, 194239068, 946347607, 132533534, 183992937, 359718317, 799627908, 742767190, 206432502, 364282651, 545950342, 567868136, 192346730, 96511999, 96444589, 22788230, 33357257, 606052462, 961714000, 198269358, 95918443, 68233707, 340467386, 832466067, 395794568, 587664922, 1071718891, 145269070, 150910723, 225097269, 346141555, 910055681, 390193083, 932072734, 884881284, 794465669, 144780429, 917137930, 759615616, 382713951, 948393660, 70194974, 817893210, 8332195, 30097250, 787658886, 388671524, 329346967, 591823585, 227529301, 857779638, 954638806, 3408467, 371438413, 167316504, 617745318, 783869880, 351252595, 857471496, 491140002, 1034388107, 413605708, 417260705, 215286745, 444973604, 67365678, 612893158, 53076088, 726358029, 354960454, 812484437, 63884701, 614408993, 747896537, 902854426, 623627406, 39568839, 451591173, 476453590, 906739738, 1058701092, 741962031, 643762721, 172148421, 716157736, 600561389, 488637177, 140316190, 150462684, 662730657, 248185574, 882867365, 436359060, 416442378, 325734000, 578984064, 937832245, 751929832, 613971396, 65199105, 815912838, 981150688, 686477722, 495213882, 929116745, 476777943, 763602187, 520111243, 76762845, 240749203, 546837592, 567845529, 24733509, 782079271, 173775853, 660515202, 584482609, 10476007, 868216476, 454410918, 630654372, 107923591, 536943871, 321039784, 102245868, 509497796, 315770919, 849928187, 610125440, 400362297, 28250056, 510007377, 839005579, 453301271, 831416350, 763414220, 403502209, 54231933, 53230694, 257880423, 301462433, 420025656, 918178144, 197873403, 155866280, 388379926, 706961325, 54316078, 11643912, 591131900, 692435982, 867863129, 843216723, 118794307, 430532487, 295165465, 798453935, 655868806, 502637168, 749500597, 739356219, 682455615, 736867783, 904064551, 523001484, 885173032, 1052267478, 167380338, 438332244, 982719815, 937637375, 828445563, 686748158, 401436821, 683081349, 969489804, 718436481, 130641716, 541889441, 338397087, 850659769, 390269059, 882969379, 254446562, 973520986, 269235210, 356528010, 375423007, 282453358, 640652539, 1019350360, 360666814, 292326505, 589374726, 215488057, 643776382, 938047087, 809525911, 939945779, 892905196, 62340568, 1013012701, 472042784, 11604779, 506301967, 16388954, 910218882, 641140314, 497475357, 352062141, 337083153, 310214831, 302176151, 502896379, 846493709, 165802571, 414575463, 315571449, 711338407, 768764294, 840565562, 960842220, 908187758, 319604654, 303714985, 716722865, 720922741, 776495596, 802460929, 309293563, 803606893, 403053808, 720720248, 846015701, 452284029, 835527138, 420737989, 275125105, 501137961, 1002907473, 451870509, 219742622, 443807714, 101605027, 1050583440, 746268241, 652369887, 436256729, 771542382, 117455978, 43888925, 990153153, 188947476, 865067453, 422238936, 840749157, 1022642121, 418627112, 96437366, 864729628, 483605023, 67398886, 29652858, 406680855, 707281040, 676625072, 943021028, 993643738, 462764476, 30627614, 689885418, 841809328, 135118748, 348978672, 734701050, 303810730, 591009930, 725235224, 597875041, 818850500, 540515805, 916545435, 227031998, 320302397, 104507814, 642247457, 30846486, 715997872, 1049580820, 453235631, 415725573, 608236409, 589624252, 262139660, 38105398, 467467385, 508225502, 91553645, 236721260, 137460994, 830736817, 901506318, 739127306, 86553333, 65114752, 86626733, 7643008, 607784879, 425790671, 1018477579, 60700195, 300954335, 1031838209, 150938595, 389871681, 873496338, 177473489, 226247467, 620593373, 915138190, 924634564, 694258344, 325507606, 318360748, 432394199, 655549337, 286716760, 266881659, 998089514, 954304955, 1012304697, 272547653, 726965370, 349810825, 517859324, 509180226, 994571758, 652906999, 415302742, 367658955, 361486980, 396413151, 251603830, 296294111, 601941380, 958948621, 360446833, 452639791, 656186424, 119230722, 386675274, 1060875541, 2698941, 865577916, 477181000, 742188434, 484234718, 959786754, 33091086, 841679334, 84931309, 1002656365, 803423674, 504748668, 13647358, 256847720, 498018194, 408351265, 842116101, 459059186, 362797484, 398881144, 220556440, 538073507, 587162273, 174295644, 972455493, 982488207, 792089160, 627714289, 133222882, 798757817, 30790366, 742779154, 522083130, 23488990, 922183691, 122480921, 646920442, 467172879, 551397701, 986538915, 650262501, 96233982, 582324464, 952353747, 37407858, 861831458, 712167124, 630408396, 251440646, 982407260, 356219153, 500394080, 571346218, 682322833, 705460051, 800918885, 736860091, 471347562, 456778929, 45251205, 291677176, 759940879, 550596960, 167255823, 188731293, 755792724, 1057852995, 262818510, 35896363, 32465204, 224174570, 342112272, 362616889, 829578027, 213906508, 755727216, 642396821, 411519850, 461837843, 64418109, 99836171, 798930105, 369167375, 480521392, 360774537, 859122986, 439412424, 406703737, 655153423, 164930937, 1025460162, 732729271, 1034520322, 350796141, 418687082, 15474397, 45333437, 165419547, 465639275, 493051771, 1026201058, 664119812, 186781234, 673722414, 738731572, 12640525, 288734885, 202293449, 122276039, 76556572, 705699804, 831664162, 73760561, 448664436, 242766411, 936730943, 5915800, 676024325, 35839235, 437055318, 262870897, 1022251257, 78279384, 571379529, 178253026, 423103355, 414666377, 745857563, 1003381528, 587191100, 907067641, 895979045, 791830809, 118679860, 561582381, 747269435, 183971994, 454468949, 215214752, 445274592, 171187793, 976606842, 10673932, 112933860, 72990349, 962882791, 747546068, 954040588, 879088419, 1011852220, 909191853, 386392434, 258256492, 640517545, 706870884, 213107328, 758413901, 292509243, 676190917, 569217964, 547050059, 277457258, 68195377, 887301237, 590037909, 958673126, 122686475, 982744096, 577243028, 180026652, 674221274, 84851974, 789202956, 99416714, 306782161, 500626673, 336361316, 569598374, 287352428, 59566882, 1006594844, 463436059, 880178995, 928162534, 119738340, 506688821, 32690852, 283439698, 563718146, 198656479, 756725298, 1001269751, 52805478, 655946005, 92732841, 800450823, 648640175, 32138504, 526787565, 219238453, 883197813, 670802512, 125652357, 131901266, 615415629, 102721282, 806098050, 525447135, 776101496, 611714453, 313292932, 548544420, 634327714, 39326602, 444342288, 113269214, 838667064, 281989511, 83018360, 880561399, 733672150, 25993391, 210268293, 717785182, 986966211, 31072808, 646209402, 859731742, 166355921, 435943835, 869783475, 772107576, 412786099, 566994595, 430860579, 840892871, 85122111, 723208170, 787656113, 522639888, 919340515, 764651773, 36772341, 577577303, 771362216, 172733187, 32920412, 1044082061, 283891417, 24465350, 440839222, 692317536, 131836699, 683278119, 143936105, 92196316, 727005492, 641288719, 59150971, 944865030, 451973742, 899417509, 523771666, 339117607, 856807870, 292371503, 1040997633, 517445643, 1027693690, 869479094, 261615927, 928674344, 896888160, 41744499, 436328021, 975139640, 1062404453, 749622063, 624580859, 673935489, 311930761, 102149958, 547722969, 556583039, 748257163, 586034192, 391856306, 612816428, 337169100, 61703144, 347440537, 132508357, 762980676, 605054533, 970467683, 538625975, 953390332, 385665359, 96961306, 306561402, 807986422, 764486056, 854584046, 652265032, 179219119, 517198351, 892276122, 359830019, 241427543, 524379374, 935225025, 917754138, 905390740, 1011587423, 876548327, 545573203, 889263675, 998476332, 917001730, 791275904, 361333521, 776336131, 587764698, 447587036, 460838192, 215925623, 883451227, 993995511, 130961553, 878437199, 261782867, 832040987, 983521443, 235656114, 681025723, 9674888, 968189290, 505081185, 763644356, 110248325, 1022303229, 649606777, 776211159, 662745440, 7400382, 416006389, 793674429, 495361724, 1069889611, 820377799, 943383818, 363735529, 939416547, 440465914, 369589524, 779668041, 644468299, 494171784, 913188346, 923200016, 1032147292, 185954574, 1060320254, 108370720, 856583888, 305886758, 634359378, 423704192, 587134625, 312646396, 779344389, 689135574, 802361957, 408395002, 890965868, 1039918720, 149778630, 252194850, 404300450, 489336202, 241116803, 121927241, 17573605, 133402725, 720677444, 191157440, 709058072, 697389361, 228794306, 443293955, 306018777, 309546324, 647378798, 507521008, 749772085, 14752051, 874059750, 633281930, 404698503, 315916885, 736116442, 1397309, 321347307, 283627209, 808779481, 499569336, 304167135, 191427362, 518102401, 758453808, 736122685, 44238922, 620116299, 576311234, 375225981, 521816264, 92159533, 179584950, 114563120, 450780849, 838409732, 136717440, 575659492, 160325595, 152758023, 670635884, 365767653, 967632874, 133267832, 907710353, 34815765, 232036891, 468828246, 120469702, 856781823, 128685585, 93390517, 104912629, 896984050, 793304857, 758704588, 651461591, 118461305, 107531854, 47139402, 131915166, 1007950214, 872418436, 186490344, 28191495, 172649982, 476109183, 4627802, 677010033, 885022966, 747302651, 544410129, 1002897637, 990265147, 29209452, 928175481, 313892744, 566629849, 721571547, 812199439, 484782951, 202053239, 559046761, 364329945, 373095163, 586556253, 633541815, 314648303, 876510675, 881501424, 781431853, 234205939, 15425129, 42586823, 420835539, 163098095, 714949668, 248844583, 770966934, 538582034, 340252364, 700310437, 759645131, 1007432402, 134762804, 942175346, 631082794, 898579734, 200826777, 734888223, 356042457, 413038641, 907837970, 101761808, 1032845490, 265813292, 250313862, 715990117, 151780140, 224320259, 184898732, 651186438, 30450121, 857390022, 492787761, 958645755, 582402557, 482730433, 343796753, 534508620, 1009839909, 224371375, 148790463, 636467111, 335910551, 737709848, 76990000, 173957230, 302878939, 89523707, 556950607, 238863789, 326012784, 227730266, 1053098055, 836464407, 366256671, 531058025, 890250828, 685771081, 359669099, 452299903, 121220997, 35503771, 1050802392, 151407101, 63867359, 508405906, 234412180, 982622312, 552993972, 1066265717, 935801903, 738815108, 80736305, 464372457, 235098342, 199787594, 332981573, 815042208, 574686873, 199143046, 674926346, 655554166, 822089798, 661786320, 408241945, 25927493, 1072324030, 229280121, 55671753, 619846178, 1056674842, 825719229, 948200838, 975202313, 307869770, 1069709183, 536796719, 200806251, 992040300, 560406427, 81489465, 167273001, 812960851, 50490346, 510241590, 200766034, 641510854, 297268745, 1003480054, 62251819, 713095797, 1017648557, 53212533, 260494505, 172338641, 582916074, 233565819, 1033367274, 433517016, 408958005, 19958091, 475063185, 746303741, 491760673, 38575186, 955594319, 106663337, 790010344, 1024984357, 834710014, 96214049, 847642675, 210207120, 133606623, 286286430, 113248008, 658088949, 112192692, 646915765, 1005989165, 523640589, 503614343, 641819223, 522117163, 824064633, 1070502885, 474698844, 998808691, 1006423912, 788653537, 1045235200, 560219423, 1025794797, 944271284, 335422394, 257485338, 654486560, 470547359, 833018504, 78144475, 866974032, 423484214, 270904835, 840204316, 695285374, 549676133, 1009781869, 1045953837, 569808440, 866840311, 715064368, 842763906, 40317305, 967917888, 110012579, 751028136, 18618578, 826454064, 907218561, 574618404, 197852925, 807042335, 977521678, 353512075, 881666402, 61126330, 59978607, 125859731, 968567157, 359209602, 471424703, 941424790, 240818046, 669116137, 35278350, 428856767, 877915559, 657532580, 156474236, 536477398, 943091447, 918146117, 143550355, 338480636, 561831856, 424247484, 918597899, 66480583, 461752904, 88943779, 649831777, 364410676, 865949457, 1046502943, 52556322, 760951080, 742634343, 751098803, 502277955, 449155918, 1006604967, 877753834, 733250663, 398039003, 608219105, 21254236, 143661014, 625487344, 53586285, 820544747, 657722535, 593638923, 130317567, 409929383, 845371222, 311137437, 939772470, 838448753, 694137131, 749631627, 117903515, 349666484, 53954024, 456990678, 840095363, 530827712, 820615578, 93421516, 430479463, 195260059, 724911319, 368027810, 707092354, 167168108, 759520058, 631412895, 798398374, 1023442672, 395253037, 101758984, 70881300, 998578071, 856805018, 681180329, 936678968, 853731135, 189147913, 859179281, 23535991, 382270862, 191475361, 117182309, 356637954, 588923736, 199715147, 332475811, 320962113, 648017079, 160662574, 54216204, 850749178, 12652393, 1067290496, 999831371, 1072492253, 399048523, 715445675, 1012094119, 931929204, 274780498, 607651056, 471957818, 377439230, 149235488, 536587520, 680161306, 1070274531, 919497670, 570028239, 390012866, 619417885, 1047344137, 959640409, 510277040, 516792016, 560477308, 1044884962, 159805654, 921033131, 271932686, 100466706, 497350244, 883028710, 474650978, 302300344, 250921213, 171410563, 101893043, 569605974, 242327391, 538768584, 965718326, 374103731, 436342109, 316994986, 244091561, 678121220, 97755217, 94243901, 349987177, 35516558, 418325351, 94312792, 598101883, 515411543, 266553572, 419295955, 940692012, 104108160, 472046301, 612923098, 411853889, 645874213, 1032419153, 378508629, 101753644, 335492267, 563024127, 104458510, 246636713, 21570355, 646816546, 365778649, 82521496, 641977460, 651355698, 109468422, 586307248, 557535489, 397728323, 60692040, 196335040, 644985508, 321956980, 1054972509, 584801755, 73906006, 327028804, 30899737, 717554433, 345700662, 715852188, 69880295, 376610088, 994593912, 823971684, 3801171, 876989055, 330529958, 273700799, 379968342, 906640180, 1067912105, 507223473, 541389825, 777676274, 185132381, 482390373, 800321493, 290575182, 318259132, 748078640, 419583900, 399681306, 400448725, 155723409, 194151988, 88259104, 522169758, 669489792, 510744028, 145798140, 125814904, 511665221, 107474103, 49098684, 815247583, 76948161, 919271267, 765492007, 303104862, 85428579, 158914198, 617861428, 660102658, 1051718098, 129764684, 63937766, 504082028, 190208160, 940001648, 513204598, 206964489, 577981023, 694858401, 790046946, 209572850, 235917297, 157894014, 945954559, 179844131, 783450070, 781413340, 853948263, 727431684, 973989320, 466110151, 203482918, 9654341, 684056219, 968532004, 582543604, 507345894, 1018346310, 412646274, 917638003, 1006600314, 834878656, 120579126, 104615901, 235613304, 54907791, 238228602, 36931501, 388740233, 706637113, 849105929, 966182037, 853398076, 698483092, 310988510, 381112500, 120811789, 707682875, 967970737, 912539611, 244217900, 688721550, 628884092, 804444801, 949669710, 322732089, 1007502114, 826054369, 945894031, 991402470, 549866451, 75202848, 881609288, 163127999, 1039072504, 1037054369, 998480462, 1048024399, 315561466, 1024845138, 328493402, 150283453, 246014043, 56039323, 700735817, 538741465, 483158636, 1016659448, 1058820839, 330014352, 521397031, 62049443, 810792498, 716223716, 272675704, 649801, 430254423, 455553972, 200116822, 235999348, 25133807, 285082751, 539073690, 873894892, 573249991, 688059128, 740874505, 580420277, 713177104, 585311972, 207150411, 862010531, 575310564, 944736054, 902679090, 31248880, 1065174607, 421262462, 1002084597, 792172555, 37457195, 502016955, 569494395, 74232468, 240755784, 539022449, 131700778, 96068614, 3714656, 461154064, 956607119, 372411010, 528585489, 494372823, 201456768, 492846151, 358740310, 501462209, 265040290, 548171797, 483014173, 172848804, 560683529, 104789980, 1002734220, 347929282, 521280605, 831131685, 694776548, 886420025, 630658350, 178016073, 145390939, 550416431, 391323964, 1037255386, 236237451, 466199747, 148418377, 210276189, 388541541, 354569148, 201947687, 955747337, 562728380, 478250834, 994472010, 959880741, 180990269, 409930984, 1044197448, 334533554, 335194501, 342761583, 451381577, 227423245, 929802613, 254953750, 471121322, 497004098, 432795953, 461455254, 459765012, 23104527, 327139909, 169438645, 674830193, 816311760, 153532131, 809196258, 573477429, 968064112, 763389031, 355809542, 952100243, 902034705, 647905328, 946891441, 637697954, 382408905, 887162255, 397566284, 103680236, 418343518, 1057354513, 658721305, 382089681, 406756408, 461706692, 86204967, 872202173, 52086222, 307749959, 153143657, 312074062, 651455476, 612969672, 834661899, 1045056525, 854547233, 221976109, 516518670, 896294513, 289062728, 441146019, 445456092, 861340425, 999616849, 120810965, 1032297910, 377967004, 645208848, 88150910, 835256811, 843264970, 900584662, 142024144, 722991729, 3993762, 774785606, 568967833, 654789387, 788510505, 502750993, 635183012, 828155490, 268311769, 590536799, 1029291109, 847949916, 600368055, 885727314, 906807883, 941916102, 990199625, 678453470, 617714286, 660529491, 788863420, 931287101, 407180126, 406773419, 427180824, 557437660, 454278598, 588994061, 286323002, 295770515, 674659513, 135433806, 311158436, 352630488, 278823066, 613506096, 148719177, 916557835, 653077063, 945417028, 260909092, 371938064, 146419505, 849067508, 326080378, 1023407421, 40231489, 899389026, 992014844, 662730603, 924840747, 857172376, 870428614, 571898097, 1020644774, 546735603, 622267600, 376314484, 1038643781, 456381031, 874588345, 333219383, 1059672956, 586522572, 176789204, 622076392, 600394153, 1029128850, 58326500, 178482016, 66317531, 260498372, 751281311, 297319076, 169147639, 448269785, 35488506, 944846151, 225336124, 784692712, 1027435887, 176078884, 469081632, 34330211, 194158320, 760775097, 79254566, 924474586, 852430228, 276168149, 66439000, 1048736140, 1002337265, 42573436, 110365390, 1043798371, 124435463, 555044016, 584640871, 995226562, 954391602, 858457155, 580901694, 121082705, 238386891, 236201708, 710359001, 32700916, 559420297, 483877482, 240813321, 750224, 593496344, 389744362, 515818693, 742370591, 291983969, 516103586, 749534692, 15719670, 969745429, 664115170, 998949669, 603947732, 1011081396, 711683230, 39685862, 390240124, 798116625, 56467389, 396532214, 256542719, 1041246004, 955565115, 750279288, 503089916, 954687056, 395812790, 1027868718, 62894394, 40681894, 11516679, 760879983, 717169937, 543581529, 773470541, 732080996, 850932419, 780986294, 436862735, 888791374, 696805066, 1028837115, 924893902, 401454735, 1039516886, 315757614, 234971529, 799970492, 419505347, 992036103, 717308697, 193047289, 332190224, 948108727, 777831509, 612729678, 540361471, 1035991428, 503849843, 638965540, 624132012, 28716177, 466142202, 728897810, 67660045, 256045681, 361025080, 538614808, 578674832, 741549595, 508380938, 792136032, 907912900, 694450836, 520457794, 453426659, 915133930, 446604497, 733262703, 849314192, 916540102, 914973944, 275357858, 56931764, 834312199, 8500682, 329790222, 858871965, 173144885, 1036654090, 384198128, 164880306, 925509564, 205638156, 422055686, 405442024, 273111013, 84683281, 814770083, 437811357, 329193720, 479778007, 710861111, 379539992, 627933896, 127644163, 48707092, 249774927, 1025591142, 352765821, 375802674, 1008509534, 788173964, 280028756, 879613709, 630832140, 270725605, 744740041, 854181597, 353055822, 358417904, 998867496, 1012164679, 618462068, 306874711, 636632026, 259591550, 917428752, 732405630, 581773874, 182826119, 577555915, 308166928, 979897499, 663948135, 543367739, 521934711, 260338727, 451572992, 481817423, 309372411, 36577535, 520621207, 756335371, 748819763, 49846962, 851935112, 995604549, 644063377, 900213099, 560047792, 226161132, 61006600, 518097405, 558075203, 937352413, 824453860, 444748753, 85068461, 265145394, 93058401, 443212209, 596560886, 855022114, 759734947, 293342028, 457066029, 433151859, 291699360, 417650038, 1021616044, 870572765, 614940654, 304537417, 659666072, 525316403, 901748324, 791280725, 314194305, 519546349, 527838901, 54590625, 981806180, 214045217, 379696936, 440414132, 190539767, 804624343, 630992267, 400940829, 70824719, 16458698, 355229089, 726182049, 605750966, 228103314, 886137420, 69704567, 254079137, 376743316, 859073072, 741142328, 551895139, 873935008, 860420335, 1037573624, 58444054, 2008435, 647491087, 948833997, 24345198, 641537224, 105362361, 626377272, 847998686, 366752214, 699766527, 800073915, 377347654, 157722215, 4169278, 635569263, 218956531, 30427907, 1003344943, 437753919, 87129273, 213037172, 939870141, 590696609, 780894648, 1067398596, 333233668, 762327520, 234056060, 427671335, 387790179, 85362142, 253978995, 948520802, 593310052, 206014291, 533282826, 973847159, 289674519, 729076791, 495035417, 90206684, 805355368, 643675434, 1056078230, 52472887, 945659866, 1028353176, 522517157, 525789629, 1055607174, 719195692, 23544428, 28081439, 891359950, 523609495, 1063172697, 1073458920, 765382247, 846178766, 304257344, 402281051, 609809078, 894187783, 626556791, 352213941, 72423398, 41108103, 117755281, 830711538, 895333547, 22048243, 661580839, 581102762, 931726822, 192238171, 714879446, 842386673, 812002101, 469202341, 396588122, 540576314, 487405602, 260279251, 60321624, 360788646, 108772994, 113296956, 1006047659, 945684587, 440234583, 1015715781, 343499668, 789501133, 1062967947, 900937183, 572920599, 945773952, 280760381, 659688509, 138690373, 66573534, 855544761, 51297104, 571464782, 362604565, 100045120, 326383272, 401050946, 597620377, 816512515, 733489979, 41388098, 305718315, 156080420, 698025287, 333349067, 699326840, 868305783, 146030584, 188218376, 858256237, 73783675, 653852380, 371069824, 1008535458, 719271379, 607898800, 228579319, 668876485, 664863687, 1027154187, 1004756912, 899268625, 10889923, 77942455, 819493822, 381630271, 1014327461, 1059204723, 214527710, 613263414, 1043540594, 642193901, 792614063, 519361712, 538466887, 441417210, 351648055, 366095548, 433985144, 929990737, 400072945, 153857356, 96612709, 515477700, 214471490, 336088442, 19815615, 495758918, 4133669, 326566397, 120271789, 242688707, 576379329, 788640754, 1048736701, 399988983, 770771652, 177713493, 385454273, 115725185, 126091330, 403314232, 657387887, 99773242, 600171392, 690326745, 520946318, 430437848, 906013308, 481308123, 103814454, 398078653, 68197558, 603297111, 784365287, 848596665, 794407547, 889068637, 441152274, 330032811, 754079313, 290428563, 715748901, 738401047, 283508204, 386478077, 649931645, 547842882, 34056091, 278690148, 965120417, 61901125, 148360815, 39318527, 979454527, 874565140, 692839439, 1000954310, 866751137, 867870310, 708986300, 998872227, 97866559, 905401547, 1068758163, 527896585, 210074603, 682341428, 250931464, 652349965, 485642148, 593799576, 67887394, 279963485, 988500471, 812132151, 263184574, 138447430, 159516733, 1018817386, 1068380750, 489960169, 13042256, 82320179, 920687661, 171956784, 908601811, 67855248, 1042857362, 745367, 234807988, 1048836194, 198854433, 391124607, 456869305, 605918842, 329429190, 794790611, 563817335, 145386847, 960369975, 60283946, 420307673, 58907920, 792404971, 791619172, 726694895, 804332450, 268375520, 783007863, 575209632, 686628318, 819094612, 277518061, 897818512, 1012455165, 124459055, 1030892133, 86385883, 694133752, 356767788, 120377900, 761915696, 719938648, 425101745, 1027142100, 623747083, 280171644, 906602590, 289380672, 455004990, 436137238, 311091813, 922086403, 165261903, 188658286, 460930516, 594056161, 168019565, 141304540, 136135558, 116621856, 314527949, 997205095, 125736884, 284803544, 190396729, 976108918, 705795179, 541572526, 755815573, 739873521, 143010909, 231692447, 424560425, 672159445, 46575703, 208021466, 488569662, 243416525, 1051582775, 207470980, 611741339, 372846997, 430734180, 195977092, 399272155, 200177397, 311651509, 700244529, 394936982, 904402078, 1037746457, 743872423, 704218383, 306853056, 704452223, 946398892, 930788861, 11925882, 252102893, 235679351, 175742386, 821609049, 16650615, 701051249, 868549269, 635082407, 777617361, 876817626, 130257916, 460947400, 81665315, 691545239, 110436901, 818048245, 18998535, 315648944, 360408493, 753610799, 1030599971, 210945623, 411367467, 372547314, 289530814, 397044645, 959108348, 143013349, 756227308, 181338394, 313574300, 942437521, 848420927, 33823153, 598629999, 492969323, 1004163331, 359835963, 364277103, 723276247, 551046994, 592008593, 527916951, 533225385, 899429016, 1022797366, 462208936, 30675877, 193289606, 739023706, 136119463, 1020581829, 530946208, 300813487, 456270726, 8012583, 50123021, 486963247, 824716778, 119510196, 91398247, 7226088, 960430348, 320290524, 115921412, 956179418, 1044413834, 537913464, 316971960, 686327430, 957752616, 801425800, 249555202, 208306088, 43910165, 731132266, 719033470, 885372147, 782705669, 1021214460, 568951030, 711403421, 986309222, 678312798, 374610637, 906359731, 768669578, 18394249, 123630849, 455361690, 48017138, 453395616, 472182533, 717103737, 209498800, 84104132, 517815787, 1031041994, 64257987, 329925479, 865810198, 314426783, 395190177, 544436017, 59752708, 841019518, 590924029, 1070185090, 1006299078, 87540323, 460047538, 138454468, 363892531, 661155207, 28683249, 90464438, 618676971, 332236530, 352961268, 721120220, 592595527, 56310182, 271156496, 637351509, 68723336, 783065171, 57212543, 446641053, 568135213, 166008530, 209717714, 493142885, 453510057, 742570624, 102144357, 695962666, 887115916, 431149387, 79167213, 93087142, 656514013, 620656707, 749261350, 836221244, 161300021, 277618139, 1051276060, 277135987, 192078572, 161646630, 100779634, 1070400622, 963699508, 164896252, 272827574, 397630518, 47374616, 876132262, 161999827, 174114563, 752162411, 367623498, 990062798, 920298797, 734149187, 668626872, 611627401, 832848414, 269773772, 783799422, 344198035, 450478614, 80708851, 82519010, 347942245, 362656183, 972043059, 1052311312, 539046039, 369862015, 799556068, 680515594, 8827503, 8587100, 66576056, 38320537, 439433167, 130544880, 210970921, 361279902, 311254019, 708835632, 199731248, 38290636, 366544319, 856165240, 953131183, 247101361, 892518226, 822379336, 803614406, 662287895, 254941392, 1070592692, 159394774, 805307213, 374763398, 905571366, 135955535, 862041420, 480306368, 699990437, 508805807, 659529289, 62763272, 248416085, 597808593, 1063056059, 95672120, 931913179, 1061704790, 811410189, 777696312, 221313161, 598287497, 26811389, 1033479398, 992016652, 909381163, 630347536, 26439558, 759523857, 888941364, 563828736, 1061741455, 454257762, 140135769, 188713185, 176336936, 866274640, 317812432, 857667525, 515848781, 773744290, 352235718, 662399253, 567729631, 1008706797, 593986402, 296446080, 976253912, 316600573, 812383582, 112450023, 35795215, 291883791, 709845687, 347110359, 945826376, 448484900, 500409177, 72666093, 830690367, 318341296, 816851974, 579243644, 553030200, 600313614, 123773600, 195358089, 289190257, 257309452, 1036218366, 845119439, 269067580, 853574798, 360956431, 841416601, 1052851755, 809449936, 1059493858, 870564902, 720227738, 1031671496, 560115498, 682171186, 764335303, 926992603, 463148162, 774246767, 739480852, 43442384, 569214789, 425749945, 810072522, 1058339587, 41036889, 720024747, 156419641, 900112409, 173267493, 908253303, 530712555, 19025146, 50982956, 174129632, 903355872, 985646678, 767513596, 570938732, 889243896, 448064310, 77024534, 150486742, 976468961, 653607668, 658410836, 965144055, 159646383, 462774548, 324737144, 91966477, 845089526, 855613693, 492073649, 175441842, 235987746, 1000948390, 341607241, 365435924, 190705404, 397210261, 10042289, 952433747, 978947827, 970650377, 382218388, 988186890, 807602040, 599993605, 496312673, 5023459, 839304622, 920160495, 491497962, 879542060, 243855516, 522944607, 284756152, 896261509, 757071454, 132973720, 1067197698, 786172752, 234898236, 689042507, 24391378, 906347663, 592000182, 386157092, 351246282, 756327045, 339483195, 511807659, 194991897, 252498326, 703246460, 1038022186, 893389719, 758354340, 977113157, 19264500, 401850017, 232437615, 158105765, 1066573114, 504612005, 622382240, 383887935, 169381369, 1005480143, 479097636, 557323673, 953530765, 632423657, 427478846, 80454834, 440577326, 391717082, 1023780774, 170716750, 20472522, 948481697, 877457888, 66722394, 1033270865, 58434837, 684078393, 583183674, 329638123, 846525218, 11779249, 258180267, 825109804, 823206581, 840124344, 861427234, 861300556, 134985854, 554189154, 38864129, 124705260, 903042792, 619383136, 553828787, 597591207, 785243287, 1028333670, 704882883, 502132191, 602829790, 662041291, 3450740, 259413904, 236649575, 218539518, 1060823467, 498623849, 1061522789, 510862368, 210932143, 131655790, 332221962, 995519167, 424036213, 413338952, 487982561, 81729683, 384377167, 267381194, 94483159, 594708925, 950410241, 697665584, 1008855668, 754205989, 579530384, 606236144, 409083400, 445022924, 698562902, 27784864, 9959593, 769483406, 903738254, 702619709, 877300684, 1051083391, 769415577, 430979212, 797761087, 128650942, 814177976, 629528959, 278357585, 198006925, 483972820, 529790272, 160299754, 809961249, 443707600, 28304545, 690265788, 97802268, 1047265570, 572314409, 282351339, 533309953, 48111604, 33096264, 212458225, 382071350, 427303445, 654406908, 1033953461, 628574328, 238728630, 311469421, 524499927, 533502270, 679093916, 926131858, 149092754, 544134009, 611638581, 747360492, 294833405, 447811480, 720794375, 265029491, 682997064, 459556904, 1031948332, 299200904, 898087365, 219917795, 391881327, 600686643, 120354391, 15007479, 810764271, 18935744, 252535661, 203854079, 647764693, 220170710, 650121879, 512020173, 1016643352, 891747474, 528766238, 235160613, 359615258, 1062895993, 798084621, 470986893, 247804641, 781189742, 210217166, 693483893, 691043116, 698067981, 667311188, 27644335, 308461909, 640513160, 466632076, 962963623, 35322082, 701597857, 662457354, 829665649, 674306185, 75045381, 201063, 558414545, 1062605855, 31340860, 357278305, 373667712, 619280773, 657892016, 251129539, 303203316, 877666250, 448157406, 260987170, 471339494, 605601538, 532429540, 526169054, 508602611, 155949767, 504990370, 164583311, 793938074, 251724391, 105430262, 642214359, 271981464, 607567096, 523418938, 297719724, 582050810, 785440549, 775961523, 228821597, 769480324, 292557942, 721132389, 13554915, 241459360, 918392673, 99228738, 718240863, 914936656, 513028548, 539464480, 661635976, 644506571, 37405820, 272012288, 796678944, 60499354, 286904544, 1009112555, 672688711, 136595970, 475858209, 231497833, 766717083, 364568016, 954424917, 765414833, 447153825, 1058463121, 266428089, 109508398, 1018456545, 17141649, 772612400, 757542507, 198622483, 399022745, 28248627, 315683346, 418472561, 211540680, 154599414, 680762411, 647067621, 508198968, 468503982, 555835552, 765703703, 938671356, 394329107, 732513662, 204220808, 649896133, 801288127, 435073649, 538718944, 57469876, 229134883, 455470230, 755733146, 581874104, 642643489, 699689907, 458414071, 252816522, 461437476, 457507349, 502402149, 116970470, 175361182, 889499226, 683855505, 832371, 279053985, 458462045, 385922530, 222751695, 1033964868, 552732718, 8948384, 955724158, 677560532, 274913212, 216904077, 619508838, 624915978, 864308005, 1042638425, 626020137, 274688361, 735755327, 994229152, 367554660, 648444609, 210356373, 835180460, 424683036, 483553810, 943220453, 433985004, 483898002, 447870884, 315432720, 691840378, 563899088, 26778128, 946182627, 740594217, 614486477, 806487576, 981614658, 615287540, 866621938, 447692712, 980788238, 799883244, 814437922, 607790192, 1049823717, 142050917, 408646636, 664603072, 654930324, 947676743, 794078533, 66419870, 1028073687, 569806288, 747124302, 188799279, 987392124, 821420092, 125240803, 387320448, 1024747261, 1034558806, 483669802, 833709200, 453174138, 10996826, 53490922, 725271574, 1073397335, 497469505, 557117339, 577921055, 727229889, 835259626, 32212662, 405262685, 658376166, 743501444, 153680020, 589522465, 462824285, 347445342, 243534390, 785168099, 50917366, 972338399, 647883018, 715302155, 148265177, 526642284, 269794810, 223801195, 951860075, 602369493, 263445336, 900330108, 486456971, 540172897, 520312953, 108706408, 392331578, 348332028, 341627112, 123594362, 992671847, 915381296, 528162672, 1071042271, 462421078, 395195381, 554105649, 632478172, 197611510, 59935457, 971125721, 191716109, 476767951, 860193545, 612182868, 697599595, 940137249, 497394212, 9725331, 857029432, 756340501, 968827981, 179229572, 440701653, 993408176, 579310146, 7009964, 819723220, 17543822, 632914947, 194199698, 185080857, 846196859, 889195433, 240780939, 984566747, 561687927, 542026696, 859832512, 368115930, 133526943, 731093523, 268341639, 564974676, 398963223, 762322913, 1002056213, 881786919, 558743658, 710444675, 599430627, 824884103, 975078693, 1017598325, 881252345, 732064012, 880065502, 366214992, 433169003, 1025749706, 1070188727, 22079290, 173889684, 805275223, 170426394, 620018796, 906088013, 199792306, 396279281, 639019329, 35762150, 450874181, 792172232, 407139987, 308404358, 116231110, 343980364, 626385557, 1066525244, 203460621, 692717445, 1052261934, 1050333813, 634055903, 492563495, 279590056, 1039159949, 1070129028, 1071750242, 348053521, 1055796701, 108777082, 297607393, 285845805, 1004263753, 521102118, 115316504, 1030831890, 901195707, 472599112, 210948198, 966207055, 652618730, 996207374, 344538503, 642505560, 843220414, 546526226, 452703133, 1071611901, 688231114, 199083277, 1025122317, 418676016, 427831976, 466145096, 554048045, 177055846, 331686307, 409095321, 1037122350, 702419875, 315004487, 855509355, 888267953, 494468270, 419920526, 66249584, 137659115, 976856677, 296269767, 454852286, 523712783, 132766230, 1034315675, 1001470622, 978057952, 290050308, 133359300, 438595223, 645412913, 961083444, 493218315, 1068635154, 64970041, 979456451, 1036406446, 618278249, 837965395, 625401090, 144662817, 295829529, 1041667664, 868242224, 334312486, 276232228, 445528353, 970894415, 1054109068, 95222508, 358311298, 142472219, 578069355, 19287087, 120939708, 317196058, 727363928, 885589765, 360830269, 448334248, 758289264, 572855947, 783911233, 428517121, 509962244, 134158548, 446542973, 667199913, 294275043, 457311164, 859592562, 109834808, 420332222, 953322280, 1045120035, 1000297803, 265362552, 532478059, 451870053, 873987088, 134184991, 1056511222, 480012329, 124783965, 692128019, 1034042016, 404859955, 99505230, 697163183, 162783719, 842188247, 52840486, 1065269555, 340733423, 867814291, 941053755, 908283423, 250261543, 208958825, 17356075, 579958734, 324886253, 111642444, 355872994, 85946936, 583641467, 107712702, 781101384, 284689052, 156277624, 305024075, 137997452, 473573037, 175053257, 632501434, 1035611330, 245781267, 11038742, 471981890, 41775058, 935609590, 568800860, 1005095219, 793444989, 918435813, 975702100, 858921936, 167836973, 519169814, 1025386898, 950576011, 729577470, 634819711, 189198008, 553520737, 443298003, 137555191, 618831325, 994581690, 548351512, 105668784, 685146210, 435279299, 534368994, 638733744, 842425961, 462010435, 144628023, 790909340, 385240131, 769801148, 526008670, 407440187, 877585640, 392483153, 638068551, 659435422, 1064278677, 618594360, 22812323, 526138962, 1031527035, 156810512, 225879070, 745301822, 25173686, 735470049, 108406819, 64546566, 324508587, 546384597, 673725012, 981818867, 532019534, 710971050, 1027075344, 485762480, 993394086, 701889292, 1043648555, 845766772, 1000996812, 302258475, 184554163, 651056891, 34595667, 736422499, 922864571, 570956082, 199142063, 146975457, 805529477, 737749274, 492300682, 794440788, 602909083, 860628875, 793716589, 147260034, 374952456, 459055444, 737774832, 146200111, 804177922, 974755717, 1052665442, 697448282, 594404502, 819953710, 14939679, 111968892, 516068749, 746558582, 408472125, 424079973, 1019361390, 207041715, 814565414, 94700742, 1041395488, 487346817, 477141897, 471813416, 335073715, 525692782, 1028907982, 367143659, 807905164, 874505994, 532039680, 542049160, 579917897, 854106279, 679720085, 61886635, 885726397, 46475088, 498140301, 835958379, 1036761796, 1059763845, 857595940, 41866164, 622313988, 192405210, 597116636, 447009936, 910572235, 240911808, 814153847, 315355226, 226487277, 281533211, 582121603, 842491397, 732053841, 234948622, 883807444, 572750286, 840522526, 164750620, 149818490, 538284636, 699553524, 775173793, 795849170, 766498973, 498010340, 601964216, 50277263, 755393740, 923953728, 1013133720, 40463243, 859468905, 696556881, 839392272, 508722093, 94710527, 244591295, 719180365, 913968055, 431842083, 470833096, 292732648, 877492137, 835860346, 234899028, 472581199, 441700217, 483887766, 506410646, 42923809, 133044841, 408872175, 442399164, 224718938, 507556224, 896959811, 205324952, 833071373, 379511996, 371940210, 847570182, 987473113, 910884654, 504616945, 554663713, 66623056, 1006475886, 744614154, 164183634, 522682539, 254940130, 783860962, 422201031, 198782403, 595277190, 1056528249, 43788664, 1071269871, 626878200, 1060849521, 187243639, 595885688, 1058675463, 443653427, 785766605, 133945913, 349735478, 273450017, 961544350, 974322947, 583353509, 808465947, 533955842, 1030734472, 326644181, 323863011, 218186046, 223446113, 594320023, 572194923, 701512760, 608759478, 869644221, 160932142, 54991643, 769820532, 202039726, 515267437, 744319276, 698440818, 252479456, 344799753, 701523068, 8163185, 471585651, 201995088, 893203977, 1023902969, 68353497, 280518898, 461324355, 819360503, 846553131, 571940808, 869475271, 275744838, 615614285, 182879698, 925517918, 257890099, 172619836, 206514971, 125505485, 715524952, 664385919, 226966220, 600990194, 930008432, 368573273, 577045575, 276295513, 335371617, 176887495, 444704101, 1073229462, 776139602, 478886045, 391301197, 444085025, 235150359, 464824447, 175212117, 577597028, 292762744, 138076134, 235181246, 296166220, 763563806, 756665349, 623947328, 976266317, 196512402, 645099382, 327743700, 162314288, 754473392, 479102539, 447420462, 726689024, 105036696, 882563882, 998492398, 644878235, 284619728, 112495801, 929503063, 47642012, 220540997, 186395978, 658426296, 802549033, 362336258, 6520877, 732021968, 151984221, 271881504, 371098419, 318927496, 960114406, 991036228, 765167478, 928294942, 412689393, 637140520, 721076826, 524112184, 365969718, 461881363, 584542998, 794088244, 813847089, 308294043, 186563339, 270984513, 538581614, 163359526, 95855385, 432917970, 150149171, 681404, 689256579, 73883347, 1064022405, 38304099, 347222176, 514319933, 686302483, 1059675961, 723624898, 446032102, 958922694, 492069673, 839685417, 46521673, 247296109, 602840471, 934436976, 539124617, 225730478, 833487354, 762669721, 325819239, 273440997, 254316004, 119778205, 217674011, 855715213, 1013782083, 720393040, 901897610, 154843598, 913008933, 1012160045, 432540388, 810823678, 977548943, 413244112, 230727786, 641576781, 148807740, 346766959, 811223980, 633295293, 111823355, 180856358, 225937591, 977058214, 36913358, 449804952, 52851010, 552309912, 1047714180, 438746968, 204798832, 1020667981, 415941233, 37437466, 111898971, 208964169, 185839825, 608572712, 70366591, 810363529, 374816466, 480995121, 551991126, 783490726, 370074614, 505195911, 380324607, 43674723, 735491056, 702346156, 879720926, 124067724, 494339207, 306537861, 949394187, 245852763, 310668819, 1003466219, 344573621, 846437345, 450811276, 544608590, 451495858, 277516884, 772156929, 538848281, 30227624, 18946309, 781278699, 961703387, 171964675, 669915885, 488081414, 425433840, 548160289, 479829659, 643393391, 938325428, 362195226, 889421674, 829180727, 860363440, 4933666, 1029653194, 201614431, 1006680983, 577167542, 478011875, 75644076, 156725878, 776510678, 255532119, 906692947, 641155204, 346856645, 202889101, 333849083, 270111845, 1053738370, 215913469, 376494655, 807030457, 317380713, 263547386, 99807136, 284076098, 843597174, 993671346, 576806795, 184007679, 1057627400, 4352980, 501961780, 312067169, 868868826, 884186614, 610796844, 238214698, 502985907, 620390639, 342510931, 540180608, 472108012, 14907134, 310409127, 102900456, 654625070, 953247281, 717476611, 114004279, 37620441, 549653899, 735002220, 979811566, 240110484, 517608775, 944644503, 766743449, 294889280, 199386283, 726846811, 422025463, 843199265, 746852812, 778763007, 789581709, 565012199, 18919124, 996342038, 427655309, 899736447, 13832636, 265199376, 808729664, 173456046, 913713053, 33449944, 149445178, 303035787, 664295546, 292972242, 40790631, 659661743, 16394712, 600261878, 298301184, 867293369, 337028144, 976064055, 438519962, 251521856, 972412059, 886240377, 57768288, 602410141, 147011996, 822059055, 112563880, 943473147, 25736219, 195031705, 222740498, 435961298, 1606785, 769837485, 252447699, 947267228, 496152207, 879093526, 1051605305, 582054986, 375361876, 514556, 337533827, 378272649, 1051438459, 916532979, 392691053, 103457166, 646936779, 731302810, 543537967, 1036448226, 1023982396, 651567011, 628170934, 784187810, 882014898, 400077480, 709427869, 872367894, 571627752, 949235740, 1014204051, 214349896, 78881880, 896149828, 384336155, 423917285, 491120395, 60077733, 561351182, 452564018, 267797407, 616224317, 548812778, 404541086, 960466754, 790763682, 526015367, 785632170, 173723773, 754302824, 387269466, 894611206, 979652204, 634889097, 189592264, 426685196, 561045089, 73457020, 114369504, 379667291, 485575569, 560110391, 561101174, 13899385, 747717758, 552824906, 72638262, 452910076, 878351091, 294520824, 262929282, 760300999, 348749242, 857487699, 862116544, 834094111, 819135544, 783122249, 1000382807, 797953613, 392523312, 895691856, 777073464, 655167479, 586346644, 267208779, 694701633, 420878184, 980322594, 1034512096, 513495026, 773110343, 620741136, 572210696, 998703891, 134945758, 273487853, 561537695, 598205065, 660159435, 578638010, 448586935, 176746704, 48171878, 576766140, 1049307619, 104440674, 524686795, 221399520, 590673936, 454455481, 772944819, 486091328, 355314292, 892466390, 185902093, 989444050, 453513901, 38610426, 515461827, 289152421, 53698012, 28989894, 304174912, 383336798, 144426832, 165732693, 985855772, 968111660, 369330507, 1048951769, 274678380, 653073407, 89696986, 768424211, 367251990, 818324688, 955136689, 865456152, 852986486, 727589720, 979973818, 407905013, 813265405, 366082302, 656268617, 439628942, 784100707, 951668466, 153116876, 518622249, 403390430, 237466442, 768242981, 700863484, 857792178, 961742402, 749143410, 782217774, 408472928, 403453253, 920881391, 586226497, 704140348, 783362522, 867657713, 1037087836, 129476120, 776292297, 763767457, 368118991, 515144112, 874728906, 1070728864, 705930651, 841380105, 771003090, 976290827, 915955208, 422001314, 359338100, 382057879, 836969619, 286257384, 745494452, 76580106, 794850784, 558790420, 133409454, 127137120, 803378574, 300418279, 86800235, 713081182, 358306, 650666627, 616280380, 409728067, 823698247, 874560139, 393384943, 151161309, 817926666, 23566475, 585007044, 1056290945, 396552848, 242990689, 973770680, 371997972, 915701331, 257624043, 443357614, 118307247, 98710783, 255908785, 332822922, 402356798, 1055468869, 28635653, 821117768, 798475686, 210000902, 511939522, 401609279, 887777497, 172747278, 513060666, 572019480, 557496507, 97541102, 787344528, 349596483, 848621714, 267938242, 938382967, 41805166, 893752591, 676445896, 561269216, 185585522, 372641675, 603996393, 11310322, 953329827, 516207051, 334336195, 255913007, 423635505, 807106662, 190046046, 549081294, 557576425, 611644566, 384888499, 633154751, 459321179, 297065619, 542023496, 876214251, 154358422, 669311394, 985158434, 962682518, 65365293, 834874118, 464503629, 1024379551, 448505634, 76263825, 278699368, 64955388, 285084582, 328327844, 271024354, 636400162, 971415210, 777100640, 135483818, 197625034, 411940454, 845296284, 733913954, 358317457, 219869173, 796724993, 833883275, 160671075, 980074003, 841854365, 474950089, 252951172, 1016882372, 1053103013, 459052318, 711980135, 401198606, 1004416396, 29218642, 232756040, 575529889, 557431313, 854333549, 729601334, 900355957, 694143592, 915398595, 940113532, 768852943, 678707263, 381923464, 615035795, 919943001, 953572623, 148186433, 799699808, 791876379, 21275103, 929725839, 851708727, 309328012, 1045759351, 190603139, 687784689, 593186412, 755852170, 888606972, 859800364, 239012131, 216501978, 165452585, 672023246, 644164357, 351952849, 393563476, 718556040, 641457603, 11217552, 907636512, 337708076, 939158408, 758008792, 288812741, 818247698, 986857982, 693543949, 754028524, 974616333, 177228201, 460183722, 25636060, 82690129, 69554495, 24340166, 575070084, 819357133, 205942136, 720463158, 296882232, 465383480, 910278439, 409511098, 785795805, 741155280, 802545089, 556020895, 230030826, 360790799, 219711514, 168955689, 511831940, 1011559192, 504360187, 1020645413, 572195768, 606345331, 844242165, 426378960, 218500621, 253127012, 412788114, 472625709, 910056437, 117574391, 426820609, 148735004, 263084570, 795250787, 795045621, 510376012, 431929149, 263111440, 212691516, 277225443, 219839442, 220321578, 44124264, 80527046, 964836906, 230010717, 576136868, 791530792, 977782656, 120575722, 506400958, 259140297, 331740779, 158960147, 522875588, 246554034, 877229240, 307601490, 461413928, 761174333, 821163703, 64604485, 345041676, 317024153, 765009578, 747204625, 260992103, 585159281, 365080367, 836518525, 688351127, 126692811, 296334984, 839211278, 429408191, 118256742, 989517154, 668893483, 449317681, 190400091, 479333083, 770270297, 531637163, 1019751818, 22729396, 234971210, 4445601, 266704109, 737580565, 835200125, 485568910, 667973016, 349423212, 793652710, 56862232, 890282569, 520292898, 570879683, 500920730, 777619803, 1010879796, 611720261, 263110294, 625954373, 231143701, 690050293, 414764622, 261452910, 152188913, 189394345, 389804266, 173549951, 121159036, 126631565, 581627021, 810820400, 750170427, 272675194, 58409109, 277867851, 877566203, 810537048, 123949441, 180004731, 986817755, 777077826, 19324432, 598668242, 530700758, 1000644854, 1050670737, 477030781, 386735688, 641471126, 734839664, 247452389, 222044684, 554082257, 734406435, 534891589, 426474153, 621506008, 784939532, 192033690, 55207609, 242876859, 296468267, 179311493, 1019642733, 965481811, 586284589, 993106932, 134172089, 137950240, 633570709, 104536426, 777564219, 84215181, 838977796, 33529485, 248433398, 1071641359, 270381355, 481932817, 476445918, 1880320, 207909440, 1029631491, 985739596, 428211578, 414528431, 580869482, 240607795, 314796354, 1057487604, 525432955, 644830956, 931779810, 400704900, 697949556, 673981982, 884088323, 748301724, 247103111, 1020717207, 358304902, 872927916, 450441229, 94737194, 447349998, 1048666895, 131052466, 64450019, 230987057, 399505086, 909183096, 501100544, 55362753, 597783643, 31044495, 833270109, 248767462, 773688627, 209169691, 1065077893, 547814842, 772538262, 727749641, 654528661, 219089634, 370675672, 515962142, 930375406, 891167725, 860614168, 352370282, 24610713, 493132870, 530772061, 835810894, 1028447929, 359623913, 66703138, 18744757, 776323515, 425838902, 109745180, 777048487, 597031997, 243871625, 68024208, 484895180, 238940158, 433655489, 977234973, 508002434, 1011203806, 111543509, 151518816, 410204048, 974416286, 656219456, 684118, 441427435, 98763596, 564979102, 503817793, 158271107, 815929983, 442384577, 819079934, 363256195, 646635508, 164025169, 868406418, 356388990, 975380588, 526343693, 472524442, 120169763, 670021619, 732448149, 992636542, 980537907, 397345928, 360491017, 278606588, 1047560485, 375407535, 537652396, 1049343718, 45757351, 832305842, 477812432, 272256560, 467119725, 144986311, 941322407, 295871101, 65134214, 100508535, 83886589, 505504218, 649107174, 649840783, 329697970, 179788094, 719558010, 944615424, 841154491, 221587449, 811388694, 433651395, 732619603, 509789646, 114394607, 514318757, 912121032, 721637860, 431932791, 753747455, 31220405, 545869050, 377662885, 769594359, 256176730, 305097488, 962889685, 755143893, 1023384646, 889487410, 565363547, 54006885, 877471357, 704109281, 722670638, 918355718, 18995027, 532010290, 588712722, 197477054, 294810178, 742806686, 706788576, 960022600, 883559172, 149316883, 334379992, 486405725, 495043993, 956739118, 39042512, 328367526, 127916046, 919577277, 289591770, 697916081, 771322819, 181242746, 896959525, 279707294, 180210131, 374049638, 13891389, 914448980, 499403744, 929621788, 83049052, 41761626, 248207322, 1035545548, 1029612292, 175235138, 426906055, 170815712, 387294205, 454230664, 819727413, 143854735, 177030858, 959923815, 853885632, 521704348, 202794865, 269972755, 424976716, 318544070, 248691814, 538652860, 269082130, 259790241, 559465265, 136306603, 979485851, 404784792, 748351727, 925776663, 999171867, 110214270, 788842561, 152191924, 31649963, 90161856, 95294395, 444060823, 674157254, 764136748, 725859640, 244102489, 884809326, 1069149577, 488814346, 550911300, 314511949, 444988399, 713794502, 139028936, 97524337, 75314035, 27804062, 929555507, 988575016, 534219988, 160141704, 317905959, 510767309, 621611470, 942768028, 103253899, 12084679, 277276691, 601839198, 856116434, 646933779, 907261568, 113141817, 422079586, 957045744, 615101723, 827104222, 713592640, 887559620, 385952301, 355162065, 535607017, 279715497, 362540446, 240367745, 764990032, 739131606, 392917888, 92342109, 331215292, 920713272, 24001003, 862548997, 695408467, 378542205, 818737136, 773764820, 726510318, 765276733, 418339730, 925108187, 311940062, 789886425, 45508429, 160009486, 141365952, 518716562, 64662430, 28938488, 716220833, 1050597175, 12890363, 204400372, 343860817, 400015133, 446729483, 170680118, 181778872, 587986026, 148665973, 199603294, 915278087, 744297409, 525185142, 597254755, 416792593, 961147944, 1033996475, 229377757, 1026247001, 97705555, 453688477, 376023090, 197789213, 422885414, 63611761, 332089821, 705445960, 1010006605, 847537052, 193249471, 631420933, 716271574, 254033755, 831589533, 610744689, 937892713, 815743691, 621744896, 198645815, 772864140, 273998287, 566655724, 635269700, 653661891, 224767692, 193642638, 321834009, 436643462, 488487773, 158638519, 489101008, 892673748, 300034885, 633330560, 993452104, 361144792, 605014453, 273407258, 1072122875, 681325555, 187346691, 419257, 448464534, 692476045, 910924417, 755678086, 690414723, 349937445, 359860702, 111900966, 561761879, 948311134, 441386678, 892388953, 861923505, 581260748, 681968130, 244082327, 493299275, 1003928588, 507849408, 423636127, 373980072, 703827212, 828718785, 1024319264, 205656224, 618934915, 158634063, 464667850, 399408245, 358271949, 845466015, 95333430, 14252589, 816184781, 1065091608, 512976393, 793022378, 966898135, 255988005, 424428353, 75489527, 664444714, 696005929, 1015362793, 487434418, 1007495161, 694429373, 914019360, 145130642, 477825746, 331429374, 82354807, 373022214, 247894382, 371746485, 602728858, 39819663, 324188017, 967833189, 528430944, 210422918, 374162826, 214497427, 234421047, 562777089, 918873824, 387338153, 259669021, 55433660, 749032030, 410484989, 886517699, 411473847, 558276607, 539185627, 174817367, 785563014, 982388732, 643393415, 709215167, 273401045, 410028591, 1018472227, 740558493, 416363435, 606206776, 741598557, 606137091, 240151948, 531215453, 73922253, 351958896, 985657151, 639723441, 1071046789, 333217335, 437605540, 1072228660, 950697352, 558949024, 633823831, 281977386, 29656626, 668161456, 1061863313, 633746219, 742341515, 964748374, 677040267, 673561853, 682457250, 924612393, 161558842, 38494470, 207256764, 839279243, 552285581, 226157147, 384941666, 1067989399, 408415900, 704654829, 224943327, 641925107, 999102447, 103582277, 168494926, 640342387, 140630335, 483694168, 213087982, 237210825, 892419263, 794420161, 257426176, 969716676, 955433974, 656444079, 583015133, 97795714, 616679550, 51962035, 80934078, 496982344, 86188374, 1037282520, 367461846, 359118198, 814705550, 732396400, 479396719, 943603139, 153390475, 365947099, 531339559, 461638697, 761190357, 627708107, 969699840, 7661309, 782562182, 84146707, 387004637, 182692461, 615028390, 699064104, 866671278, 19398722, 985925572, 263863518, 692293445, 127319312, 530121074, 770017781, 567558385, 1040036944, 176668127, 202988498, 1926885, 328665358, 1018377871, 494812311, 927440591, 233856849, 909884388, 485568155, 745813579, 14784104, 651110301, 880511919, 524795385, 159014134, 148958158, 150553416, 135432472, 977975276, 990464442, 952365097, 994310335, 551869565, 162684067, 181535202, 700884587, 249626934, 805469238, 182392873, 810756168, 223499998, 192703337, 317462257, 421554289, 707410796, 581219732, 638099760, 161973329, 903250069, 204229729, 304947590, 14666926, 395683625, 1064279478, 1024202436, 311302290, 276707956, 396065480, 416259156, 784068963, 512412007, 565046481, 135148220, 551426796, 772072328, 275504468, 651292499, 244956557, 1021982775, 85459685, 66163940, 126488399, 888669339, 411207420, 328358400, 1038700167, 525834814, 516890251, 215096181, 310002203, 265776777, 911991421, 601561234, 940913692, 139325727, 543860281, 591178296, 107672128, 133315170, 679322279, 207437821, 644516737, 807971237, 673764923, 329269479, 387390267, 994304441, 744020643, 330450904, 503835808, 899668105, 416752058, 750169271, 789912028, 901241471, 230264575, 404497668, 351532990, 462572363, 919202753, 6162827, 9040232, 140883792, 963303000, 615448957, 709205462, 914843838, 672140281, 43496472, 168727038, 313389699, 678916166, 543396782, 1073500063, 642766481, 303630986, 11023743, 1053169090, 831611589, 772265585, 520550051, 415264915, 584168975, 683559761, 967941556, 113250444, 508724940, 591497703, 531657592, 350400606, 381938442, 630566569, 895423601, 630824673, 648545991, 938446951, 469803150, 872986759, 583417928, 89222301, 529722740, 663360857, 722028438, 533191393, 279792876, 840623554, 739837059, 778475855, 482702421, 978170668, 863760537, 925250951, 509783231, 710278333, 947727653, 149397399, 113027088, 124115409, 21473296, 171512139, 937495625, 687420564, 292286760, 92382024, 522722966, 191465491, 177125771, 485375167, 113027858, 479343231, 459198126, 665184337, 876597154, 629514205, 883187228, 730530788, 624851522, 508848370, 871178280, 220433683, 817644100, 18218434, 299922091, 818418859, 807981479, 684313025, 1025698272, 474224814, 382047789, 314246634, 529919689, 222529893, 578902008, 815364078, 126216514, 120891103, 998445667, 481790907, 152658966, 843922607, 402079550, 47669815, 560165070, 595532887, 660504000, 850932860, 1036228531, 847572123, 88442475, 67038595, 313842485, 450900309, 289554372, 759407884, 325121505, 321940404, 338506572, 419820910, 420139955, 689206770, 43076872, 787975819, 370261992, 254194299, 762032069, 417212118, 871666093, 888110554, 455290101, 873810692, 872906636, 1013579633, 898229969, 106600493, 1017372334, 408289108, 961878384, 570902111, 653442796, 362017657, 491841668, 314106957, 618709433, 763918455, 283276978, 311424626, 953961965, 850098977, 566372690, 173110005, 178649440, 819656418, 1024639069, 1013686191, 244034347, 112853502, 460058214, 831291398, 797066453, 307125164, 366851562, 945273444, 158310142, 341321297, 555779892, 695817396, 30192206, 183420200, 857941699, 265140479, 458099995, 823038078, 404760383, 964499904, 407207139, 398183232, 157075909, 599626289, 370297044, 962051157, 1020765362, 671930769, 183416414, 760699628, 4603906, 624870033, 412365709, 480704080, 98972095, 587375102, 219890108, 1071415891, 1018872617, 5970210, 922029685, 72924018, 108877463, 850871361, 987432453, 932064163, 986182639, 248090192, 915499019, 506196102, 917308080, 956960876, 483439375, 950076662, 935977850, 146431687, 704950414, 640326504, 323226541, 193167659, 204751557, 252761462, 97627872, 652357276, 1007946053, 357631990, 292914847, 277977652, 753984633, 711618220, 536591927, 286516578, 151819586, 785031168, 174583344, 369520192, 570155430, 444366691, 366314508, 229415812, 651085030, 379539227, 162992769, 522150402, 902535011, 58227914, 468920374, 819471718, 684913394, 627953336, 420200109, 699359301, 361117586, 741085244, 687158630, 20941079, 533039178, 916449152, 532315257, 626481114, 317776252, 103115307, 336310876, 441272964, 185213852, 12268049, 850758914, 51153739, 1027626300, 842823930, 63410663, 55481027, 842527636, 666581734, 577016680, 756222125, 501014286, 447881614, 355823111, 974046664, 920660116, 415973143, 934007716, 598725628, 496377089, 934539626, 55095644, 112603781, 547746725, 255028797, 795415641, 805262037, 717026289, 398118055, 953952753, 661537197, 402855610, 993377160, 62183011, 112564627, 487303838, 611792935, 698813961, 855741879, 508756665, 397787162, 210614966, 628967796, 389511586, 924928334, 253285480, 605209358, 384869779, 992422834, 444062157, 554240808, 798841945, 762891474, 836853542, 482280776, 531021366, 323178476, 864059165, 36721936, 610702879, 150355012, 667245985, 182603015, 73036811, 328814521, 219955936, 851181058, 918561928, 209075722, 671060884, 42293880, 845956278, 911678998, 597838931, 49040122, 315977966, 666110087, 622901151, 644809285, 515392241, 253902132, 837911700, 307188867, 752970589, 25104318, 467230080, 567347544, 211887941, 263982522, 54989118, 114924224, 751856930, 559650876, 68632881, 140258182, 572506380, 309915077, 287159845, 422312986, 168291200, 414891473, 405770097, 714396758, 190208600, 484138255, 583097080, 864351175, 635330727, 699126616, 21027920, 101400900, 520629226, 308686385, 486301869, 430310273, 898173005, 115965113, 82773439, 355704478, 143001043, 445442305, 145606074, 391574871, 449658997, 360604910, 317303744, 462251176, 545306857, 244160155, 869214807, 52936266, 152066900, 97124691, 658489926, 913927753, 159248675, 249658696, 977606541, 41131607, 762365683, 608320749, 883656315, 941185017, 851428885, 368325678, 1038104151, 675507852, 577507008, 124503566, 580123515, 807238064, 957546391, 562795252, 172633203, 284568478, 808864042, 397324468, 19247773, 761203689, 989485986, 188645012, 529169849, 529500705, 915162178, 581160979, 414185262, 915806175, 898762935, 825122242, 466770350, 982038093, 882729329, 121942495, 85841272, 408697601, 432767703, 977481094, 714575401, 946749030, 763835833, 1013198806, 795067761, 967107388, 1003299806, 721532535, 742611422, 337414083, 1023030272, 1009058760, 277400012, 571003798, 977434724, 222994138, 752464573, 665636255, 473446395, 115036526, 463129331, 125844821, 563933097, 326392091, 231671731, 222434929, 199079729, 568117829, 86723330, 703215971, 440347306, 949634299, 536643764, 1060505526, 86541881, 384122785, 214854902, 801805125, 1053588195, 147259160, 1042206368, 893904407, 365275447, 503493710, 274245632, 503590609, 876639846, 93282580, 951175611, 929233746, 595779353, 373999669, 87173319, 794246980, 1065895367, 906477579, 539698330, 233306521, 560528503, 591748988, 393800578, 1068297703, 542780160, 55848438, 47766588, 92176090, 778469116, 850736223, 198337414, 930869146, 713563621, 951561410, 1020424356, 883843184, 462386270, 996950328, 189480927, 141151104, 240147176, 253824342, 500612816, 574536051, 640126507, 1011139409, 408918263, 95606146, 339317098, 72106016, 218524121, 77113932, 378781671, 893359257, 450938498, 31423099, 611058337, 237179689, 359265312, 755821490, 1027295082, 547332789, 309799404, 522609885, 601425707, 156585615, 551620503, 297898459, 242114111, 245435755, 229618212, 193258985, 834997769, 607565497, 960035033, 450545796, 1059801134, 523861154, 569581608, 692678305, 892465832, 316125290, 903735313, 947952928, 337241202, 979898484, 349265919, 767339379, 109449573, 40511271, 351736765, 534958869, 828232369, 1012004168, 170520546, 110671809, 358956126, 262212840, 287045964, 42784789, 747879562, 425579605, 41234092, 707206263, 370702740, 978245247, 493789226, 1032900450, 429172188, 634898580, 720040685, 412312501, 458351880, 564472092, 564392682, 122706248, 663755031, 277257062, 941035986, 483377077, 548778081, 288540251, 539771266, 647599310, 102642018, 162018532, 877988676, 18254311, 587454704, 542420007, 331344120, 64374261, 343786480, 116421782, 370941213, 156577585, 126574271, 335318384, 275404994, 477707597, 526154381, 61380950, 593433644, 944357316, 10707515, 538304607, 705842401, 292098481, 583259489, 479177200, 587234373, 571590995, 48303698, 1019238971, 1071611690, 221242402, 588515524, 1058078736, 744408160, 541649224, 770965789, 233483992, 494164652, 942779744, 42003324, 919051185, 374531134, 781673401, 485431094, 442703245, 991668823, 94365564, 903927111, 463931495, 405290491, 754702447, 94890529, 589729545, 120496359, 444462546, 997404120, 897550446, 518730059, 161247795, 853582900, 550022114, 158752360, 158120719, 354416149, 471555200, 880473316, 924431566, 213299149, 123122738, 465846879, 430941588, 111305403, 410702496, 841045485, 561004588, 417872845, 134276551, 273365860, 778788177, 108564734, 58008528, 795070321, 578264437, 1018059016, 287032278, 988290719, 1018001558, 811034073, 740569805, 410798738, 70764525, 289578009, 425997037, 185624378, 967917213, 83628367, 283713774, 53468883, 634287628, 791379667, 675505880, 127509148, 546431651, 737059811, 491428621, 443757483, 811164960, 308601598, 609507154, 717865632, 586089477, 1052570794, 171712953, 463588969, 189576108, 228091744, 643590306, 17853134, 513134873, 159794293, 228440450, 646454777, 916791262, 311969955, 540970055, 633951531, 34509438, 69501516, 152444550, 613120563, 157051982, 788918009, 482016796, 957732637, 357900351, 885201827, 66497020, 733152268, 192562117, 154952089, 945983791, 451014666, 609099311, 37879198, 436107247, 337967463, 895511483, 298337848, 850256790, 476419280, 444376222, 308020846, 541797033, 124888337, 43843957, 628369829, 404455855, 119915533, 649268350, 369220044, 1014698320, 372257341, 305565510, 655921644, 80055761, 880285435, 238261756, 866221155, 293405858, 227295004, 404736479, 804843159, 157634420, 230504030, 153570886, 486358368, 634278303, 257562938, 600020990, 908131928, 785649811, 852907711, 786386798, 7658022, 122599223, 734129883, 756993134, 512662842, 739359378, 566765586, 463112996, 319197386, 503689125, 688179673, 579731593, 918222705, 687319975, 333287378, 382401984, 163445701, 748128543, 609242075, 607954121, 524222387, 713891158, 61007945, 252855816, 75506906, 1035885890, 662120609, 776631340, 602004875, 399676635, 899473233, 309467420, 107940047, 393789080, 697619679, 1056213286, 464252562, 384170716, 342602321, 147312543, 380261078, 1072140648, 1028970864, 437976428, 517846149, 369205856, 262409914, 18578043, 396289827, 256421715, 957376792, 794249444, 339006046, 753636253, 100732494, 450417461, 99335826, 994087810, 56858043, 978968755, 45100389, 774811766, 796874150, 247478693, 221554912, 695746518, 219146924, 930066364, 808176340, 629693833, 183531672, 384389205, 680817733, 1066879572, 177844805, 422670, 1024245372, 886701349, 721034427, 51322749, 370895170, 419976329, 318340307, 489713316, 789126085, 231662666, 1047113437, 138294314, 949981090, 457804851, 318716084, 233692042, 1063250676, 841704974, 24879940, 495083842, 1027829509, 504551598, 1002040359, 648497354, 19240347, 96790605, 829029976, 781195975, 151639368, 367414100, 747862798, 349076960, 916577079, 1065914447, 461238008, 473456998, 1024669743, 107866216, 625436559, 587346768, 289700954, 1026913092, 714397378, 308259337, 533667927, 616234043, 895773233, 783003613, 534701445, 1020514827, 254052141, 639386539, 29291014, 304037243, 1012918366, 836722751, 149083708, 1048837344, 30066130, 262593807, 488217496, 727890618, 266333014, 695222488, 772962366, 878880958, 979684249, 1050511136, 744232850, 247059671, 859094276, 853032397, 722378896, 199418619, 377512936, 112958012, 668865130, 27316093, 842097071, 322200174, 879586576, 870255811, 765448050, 27160713, 799201671, 672229138, 885168422, 902694156, 177438902, 621806869, 433511688, 407917202, 501602803, 551556561, 497475150, 27819488, 554465178, 489305573, 209471508, 601662614, 181781090, 514837870, 722837518, 619293337, 316346510, 768958935, 481058148, 217209793, 164793633, 912265959, 1047931743, 303087179, 832744779, 454577113, 927201124, 477015778, 494840560, 808232417, 688203126, 91421778, 248217401, 321161626, 538419095, 132253745, 675156075, 393676258, 783423715, 982508531, 837068551, 70645814, 239526859, 470471769, 554918917, 545455337, 963331449, 560127856, 136295288, 19882326, 969782140, 591461006, 648124300, 585514102, 110744325, 278031166, 145976473, 610922828, 820682335, 249828218, 766375990, 493569683, 402977353, 806651545, 813644914, 250416025, 319859418, 277370583, 883721188, 454519902, 91378704, 170957207, 1051463620, 210214633, 436244456, 393544777, 891989085, 480598067, 319895368, 311370651, 152350821, 183966676, 762572897, 30145401, 141888135, 117941527, 659374451, 374611890, 969387479, 206786505, 57593325, 213994121, 582647794, 711903151, 348884507, 728597678, 833880342, 777113034, 647206997, 523334516, 989371549, 680050042, 687150150, 484817918, 449062743, 34971246, 845926233, 925000427, 512118445, 457446439, 506300854, 872262705, 157023531, 672632477, 1059411157, 253758993, 942499508, 902823168, 942625192, 61026597, 1029748104, 599163134, 319948528, 239858756, 977133583, 296129101, 87465960, 759381568, 806498536, 198482135, 475483475, 907695083, 867062340, 160487257, 293609297, 120404475, 629192281, 356186123, 180869719, 688589400, 596847605, 841598177, 734675634, 460745429, 469906340, 203669600, 715922492, 624143310, 896787087, 400258210, 1053266656, 871583166, 175216984, 578970520, 565726431, 231754142, 1018647390, 295809596, 958054854, 982548064, 839316219, 409132803, 844109894, 1048626775, 14214248, 840031098, 581099957, 332461898, 316288477, 588402776, 566683992, 438232232, 162170485, 45573287, 768879961, 328704020, 956276810, 568463110, 1033203706, 563382482, 1045902006, 322919355, 955622143, 997300779, 37494940, 1033376581, 567894421, 962613592, 7221108, 795212309, 1009093794, 440358146, 569553464, 643712984, 349708733, 442870839, 345873673, 1064935983, 371326083, 750886436, 323409961, 297325440, 886649356, 876746361, 272904509, 23431708, 1009823403, 733061256, 118259610, 945843871, 35524923, 933251194, 1013415678, 476414605, 575224220, 985199582, 206463922, 682602155, 358680462, 592690749, 687077961, 873554677, 548037387, 917154608, 58465359, 155155092, 639493822, 207921658, 404450773, 459908529, 208310593, 439229154, 761133553, 392222775, 514462560, 904080338, 645867801, 890160685, 172110118, 187879451, 439213606, 994788168, 576828793, 78989678, 876226031, 300675156, 816522305, 14913827, 929699794, 318559634, 998179268, 819557047, 818498248, 276994026, 261267578, 119338590, 325759427, 12674395, 316495528, 437562219, 1006177380, 377442895, 1055045975, 992321580, 920687317, 1058273447, 823040686, 339574575, 940895888, 315613614, 970048092, 723968997, 359334098, 43464357, 442604282, 858512506, 607794453, 941083944, 85697646, 856114226, 275934880, 895758982, 1040001936, 184271918, 226950942, 576612805, 3142498, 75320052, 397706049, 195672279, 592938953, 175061452, 450213192, 886196516, 680727223, 323867854, 872499559, 63597607, 777406569, 294695266, 787563755, 759649018, 814170242, 636551905, 391421136, 312170729, 326896162, 429806394, 490857966, 578779639, 953643194, 811099353, 142461191, 345758142, 526395936, 759526468, 516979942, 909291917, 778866947, 999929450, 759026857, 923054786, 84641615, 546589381, 338737555, 10066445, 27741771, 159861817, 823412387, 663100425, 760590479, 854137474, 51595576, 90050125, 353235088, 933011127, 976725494, 685593578, 508205662, 386903180, 929344546, 663626647, 422260391, 136581283, 296889827, 691183078, 335322073, 129810918, 135411681, 826705335, 140082770, 1013231521, 899657814, 692927817, 1021429607, 110972584, 264228742, 327064144, 395221096, 301041218, 523860606, 748168243, 121765084, 185018715, 34726888, 90299271, 31922073, 583448008, 378124712, 17850124, 566107700, 400194498, 759637489, 35972492, 36854053, 662649260, 1041283430, 178733449, 143595269, 477386243, 61801513, 923542492, 700935813, 1046722332, 626532176, 28364406, 699061558, 366784297, 7333924, 82416884, 1032156555, 12173785, 934816082, 871712510, 720783828, 803857243, 879713706, 1008157076, 3060716, 602306636, 1008331611, 180959149, 494026253, 299010724, 694408644, 67300881, 738549809, 378458501, 539441127, 963489782, 925922976, 509158427, 119587694, 180522351, 641352385, 142931104, 475268551, 270205879, 441610022, 314627184, 596359092, 681470514, 93816266, 646322496, 135344459, 396744689, 401710071, 258691233, 183759512, 761418443, 576343728, 150765563, 694069980, 467489312, 751553545, 524770076, 967727923, 57704905, 769694452, 881427598, 495000672, 56293926, 121423478, 238999197, 1039003671, 432162293, 74426224, 946907286, 334578069, 1065410727, 681039413, 226261753, 546048774, 446918675, 743648805, 39147955, 696796415, 540137790, 449560223, 475252926, 8339080, 301330881, 481699757, 754513907, 342521555, 742093204, 583772208, 851469673, 676732017, 995194513, 829894301, 673765851, 645801909, 715397762, 948315028, 845944363, 502081986, 431157390, 706271206, 440735733, 107423824, 271671471, 984658279, 869134223, 660296371, 1025951250, 696593819, 958958493, 790776089, 181421502, 292436584, 902069976, 717657998, 310548866, 838507382, 929145037, 465836853, 207743618, 711765667, 266266127, 103997892, 270885406, 308045671, 493540884, 440532296, 803064826, 570382826, 270658742, 558228968, 45548946, 952603224, 828032859, 534053362, 381660821, 883163224, 449456974, 768533444, 1013152678, 672120992, 973852375, 169225305, 945671175, 79919971, 493820386, 719016963, 457473235, 1009026558, 966317933, 681933903, 873727426, 460067203, 985768594, 1031794662, 589015195, 553027540, 278300242, 790710939, 901778081, 417366020, 270051654, 177280208, 180730327, 318071527, 442392163, 71427426, 536308685, 541549043, 911624458, 496745311, 67989838, 1015072485, 696394041, 387830430, 525553323, 816028264, 650040714, 61670658, 64822559, 634003859, 692583523, 421468645, 205528006, 394310977, 760516116, 342750557, 775806374, 814861647, 822368855, 36487799, 162174602, 465624236, 135192912, 562791069, 428264345, 241242696, 393061052, 1071762294, 987318046, 868005680, 388386146, 362479303, 178187742, 565477282, 1058127986, 418322913, 917959608, 676541553, 555934770, 552700091, 192477966, 713729964, 430691788, 937333268, 1044960176, 657591206, 631864191, 587437397, 125632682, 1026488277, 834066339, 1020587296, 958091836, 783017268, 1027419964, 341977198, 910527353, 1073443900, 241405591, 129087496, 67295064, 1036209467, 261919081, 1059945326, 291299608, 981092149, 795004235, 984493883, 977857084, 181841677, 77672711, 873631415, 832781911, 788381286, 303903413, 372366184, 860500906, 763193613, 827759786, 949673185, 672120755, 113799904, 566006712, 923040907, 832641347, 517972924, 517852802, 269332894, 330151633, 683374409, 827823618, 200306505, 846322664, 746538835, 8381179, 351618643, 801850267, 356943365, 122407755, 383280055, 533220349, 1020967423, 415025642, 76242540, 465109268, 59848062, 279641223, 145815430, 466282707, 296323547, 362770334, 131953213, 951852778, 908268306, 467881112, 930131847, 845128558, 306476243, 293093551, 713927824, 808362867, 803153325, 224947244, 98646809, 15968088, 1032364255, 189920741, 732469780, 679171403, 421083021, 221966645, 344494683, 239387607, 687529453, 484386569, 965629752, 3162130, 224468360, 484627992, 662409363, 1068671428, 704511501, 780017376, 12773491, 772661978, 650521448, 990637983, 930350246, 983022861, 412313023, 433447170, 125990873, 1047830174, 715343327, 204459605, 189804118, 769952952, 1023171125, 439582929, 322414838, 332561501, 418785550, 675733695, 214711863, 205156354, 803437252, 55957434, 954188679, 459913635, 1046766155, 745090540, 464030696, 322019062, 853170744, 726549661, 303901085, 366536423, 452454396, 499772069, 28361546, 677346274, 866591431, 1012047980, 460864808, 969283726, 1019274248, 371374699, 56785394, 1073497722, 862274099, 1014864456, 841064085, 56030267, 928801664, 499854341, 774979865, 302386463, 880056217, 681668005, 274044460, 230699736, 308864383, 928901368, 820779976, 712131912, 1040909114, 215935719, 921856244, 756133741, 908462816, 18517792, 405839787, 300162359, 137321110, 201708976, 149357340, 75640982, 768257721, 138446323, 397448602, 646239485, 873677379, 655383900, 698378175, 451214819, 756655533, 722421919, 740633619, 794253011, 847640580, 722699654, 1022734819, 256909992, 743122028, 450158725, 836804247, 737968209, 1006032721, 862872594, 744645634, 284874936, 326947344, 469802026, 777877353, 249195881, 317816934, 141471034, 1048753175, 596494311, 1041968662, 205376812, 151704130, 424976236, 320054708, 791669394, 390436444, 720249148, 863475816, 353279564, 274420501, 929373811, 970626937, 1069263587, 432214836, 342745452, 681652590, 82090093, 262375423, 239935203, 367715996, 361838250, 277204493, 338608552, 220565686, 1046471131, 539442923, 11560077, 644651924, 485800883, 695909509, 717527723, 901260441, 561038583, 209114670, 272899147, 609523016, 341693261, 895572471, 878005144, 110484231, 48343309, 736956715, 354372485, 588489011, 573350654, 143273443, 179357806, 974649063, 193061266, 368197793, 699553099, 657384663, 596619685, 752334302, 235962469, 360973904, 749611423, 378540821, 160184267, 593573299, 666136442, 920158905, 863696223, 224345611, 1022184668, 978564663, 13971505, 140995300, 306417126, 766349107, 710862016, 129852862, 998719553, 1012437718, 876632195, 927317760, 228695735, 738455641, 570494670, 988109621, 761762083, 1070224000, 262221477, 445777867, 178385037, 232449914, 604607144, 896895028, 469677880, 691422576, 455861841, 267096110, 277409278, 968535282, 120268914, 661958401, 857904894, 1019155296, 139102795, 769183851, 741659817, 51518557, 1064451865, 263195692, 561817266, 1015218090, 258329746, 903514410, 1036591153, 302702109, 452392378, 493060863, 267709815, 928911363, 321704348, 115326430, 185496044, 456894137, 162967484, 849912535, 914509819, 971422239, 478041002, 200319520, 837596912, 884154361, 119268744, 923099574, 834929086, 296776260, 201705624, 424604083, 880897385, 420773666, 943226338, 268795770, 796071927, 243863780, 236725916, 1039523041, 1069209664, 671354642, 230552237, 547527523, 278374988, 990487027, 80686861, 604050888, 164576206, 75438455, 305082150, 345904887, 277990277, 677544148, 493332647, 457206055, 1019638077, 918776495, 32657595, 954502737, 490174138, 774690486, 813695941, 160702130, 815787195, 1053566872, 825348092, 669778483, 130498840, 979968309, 108344191, 883074740, 110197164, 829861835, 643884092, 1020111239, 598175372, 291921145, 170767685, 588782958, 154754090, 437025760, 84381522, 314145155, 29992575, 808973370, 694374913, 373583481, 863469799, 1056320792, 793879549, 70424912, 1039073275, 90295977, 562365312, 828829870, 72729041, 624276237, 235326584, 45268969, 103334138, 944768477, 204631736, 270641258, 742548112, 718811985, 492221561, 1058754901, 167457542, 1072452339, 24262764, 934697930, 140219357, 221409635, 664814847, 887752538, 82028053, 514966133, 927306877, 560088081, 897475936, 3616076, 144158459, 1037729041, 633950290, 742278929, 1011933204, 606081416, 334624736, 961217606, 956928370, 1049804762, 383276882, 102560628, 1059025721, 519587014, 960232804, 622398848, 973700634, 1023416363, 4181606, 838709985, 568196697, 536169427, 983457364, 926094305, 564793505, 125938921, 162002601, 55430504, 176993600, 315437483, 772358973, 692355484, 931184599, 733226974, 221173304, 921933785, 929008574, 316760537, 1020014799, 205607604, 442803599, 461432822, 394884809, 269691918, 1035115955, 78437445, 374750442, 139834474, 111650355, 698994393, 447509825, 224169482, 297039639, 172265513, 617456868, 367849902, 549864571, 653061434, 619474026, 517617198, 189213152, 768441400, 684657735, 741708892, 647817538, 459989372, 467143410, 821283866, 520941207, 259118867, 126266006, 353650141, 738627617, 374898776, 853360880, 253445836, 756267006, 77088083, 489705499, 758870878, 598641334, 196535379, 15861002, 980354276, 988523208, 652211998, 145861391, 774208275, 348047227, 781821885, 74900030, 489735375, 788483218, 860274913, 1073654774, 267894959, 728446008, 331716357, 162503438, 48569760, 638164032, 112387051, 616437197, 324131345, 897027010, 1069876806, 1028856679, 209060667, 126364070, 919772534, 1063541234, 951356216, 133193592, 613162432, 304238464, 456433396, 853268596, 288125714, 403970959, 509314496, 132479983, 144669452, 4016379, 620222425, 299594503, 971343224, 533404831, 61028684, 26443034, 1018903380, 967320018, 891442008, 943117822, 747143312, 850231676, 943904648, 205130615, 671942979, 400318453, 840917391, 150753854, 366045103, 696060381, 809373314, 438263004, 440602389, 837006185, 771025222, 62005994, 604923782, 918693307, 101582871, 22057160, 919753007, 282998970, 396918211, 615632916, 48028195, 23199855, 813616753, 73912329, 848781194, 40379846, 416912130, 157276206, 728709005, 237628175, 738692045, 678047265, 352997072, 550356057, 467092226, 877856210, 932747149, 1013529511, 156736343, 659971509, 365743261, 1040242088, 444851200, 303811223, 796309037, 1029496866, 638354768, 11025014, 280991261, 658572601, 975357535, 678435566, 1011131513, 780133886, 932314, 339976147, 1020090430, 287329887, 254293768, 1034556236, 444936041, 410515353, 782395038, 183745168, 985949797, 928309276, 420161535, 1002932273, 382684839, 738991308, 907523832, 79132052, 748716214, 97491388, 266228849, 912699029, 894524944, 172863223, 463266609, 651326878, 1025749391, 690736060, 117112, 1060670634, 498120606, 345449355, 982578474, 953487296, 385007822, 136364544, 958130659, 1023092726, 837774795, 891463111, 361634727, 164533407, 910976388, 113207490, 808119048, 669378787, 397850906, 840337144, 831249323, 970525722, 361845883, 821526430, 338548553, 593410194, 217462773, 297624658, 126377823, 88244929, 100366844, 514694491, 837703682, 54146858, 1014936080, 534065311, 606990309, 652852533, 363534375, 1068686741, 481191565, 221390579, 762735320, 220674511, 852597726, 362954429, 842118957, 926443186, 872200832, 835642005, 308324270, 464453091, 844492479, 936423602, 372264039, 69532097, 454806391, 279916465, 532831266, 823540591, 634011174, 1067250918, 621059002, 879647788, 625987350, 475310491, 74806512, 952658201, 224511426, 670132613, 100211042, 662198969, 427328466, 485841512, 105500125, 60645475, 961123909, 1013332501, 440560724, 1072032357, 997101271, 921447799, 17772033, 292706674, 704697343, 70793816, 945589971, 789032786, 1072277460, 603815817, 54405522, 1066139265, 458677974, 331632297, 937553077, 499611968, 139473903, 606233543, 705036076, 1038673320, 504596488, 798333593, 785119363, 837209509, 719224953, 737603040, 260460300, 310640794, 27439133, 1065024212, 987304715, 43852182, 833508410, 197269852, 833175183, 848625933, 8996868, 194928522, 91114439, 534142283, 981661489, 874877799, 910766428, 291667963, 605726768, 423626249, 773709352, 105604361, 361463984, 359182997, 317224081, 907623807, 864246247, 381615721, 180301216, 991215803, 272999155, 867832784, 127633101, 71284676, 970127901, 242703904, 374789772, 78622237, 975603929, 166635032, 358563192, 807779887, 288697534, 667850772, 78255649, 224947766, 10215692, 303878079, 102921221, 1065120241, 421680372, 835408814, 402987392, 432567810, 1060882019, 500066971, 1037483844, 329834052, 1959231, 1041602828, 279061161, 794009642, 157570089, 16491065, 696134311, 894384139, 66864793, 484062194, 326061408, 985828498, 478193034, 139041116, 981534521, 510116137, 802724100, 202681215, 986317050, 1016110631, 175502750, 850899334, 564055393, 872475395, 639034122, 1019285124, 561632212, 586969150, 563993111, 756403587, 130946280, 767322227, 886332629, 666966948, 835675584, 41399852, 953873167, 453695820, 1025386495, 763203718, 414370435, 20651530, 871011445, 156864938, 523629843, 669322839, 924507897, 369670509, 317491452, 312678527, 617085935, 520106574, 1023951105, 635138089, 340597900, 712102632, 477945394, 1014800028, 845739733, 30696024, 452389636, 39435575, 321033196, 104138668, 66128260, 592299057, 119603514, 601911523, 668640351, 313228247, 763524209, 557421200, 303437981, 1002537365, 151734715, 940265897, 177734093, 705681335, 10708482, 686335131, 197280562, 284937948, 342877862, 255354366, 970061821, 608491962, 263320199, 998548195, 936710374, 985834400, 939098410, 243070270, 399718136, 492418865, 563098597, 158523420, 747707372, 11798219, 548827017, 798786442, 107324290, 208656363, 909615059, 1064962424, 213703809, 653620355, 2833539, 742388383, 811879546, 710950396, 490227649, 20577522, 201066991, 869179090, 188624166, 558880748, 529771307, 1033521601, 255456050, 59052681, 1021235051, 138688055, 760207602, 66120724, 946123662, 600125765, 68936007, 1031741104, 884833730, 1059687963, 68970251, 78634446, 733157816, 41219505, 807994169, 251758120, 418609550, 651675717, 235180392, 44451875, 780515389, 199744820, 939396000, 462767341, 203574033, 389945831, 62655704, 147555243, 921014506, 738958339, 617173481, 831517562, 35694505, 823828193, 485901473, 739054910, 509720211, 773889615, 490092257, 457527149, 539953181, 98505236, 717200375, 970636634, 1046492288, 536579642, 266749923, 954763806, 48565905, 271443804, 921707493, 1073492018, 855882222, 511767911, 953087836, 197755400, 1060828082, 1050638277, 873923200, 128036524, 775419145, 679568481, 425468073, 764179337, 355239653, 902243325, 631398983, 995835617, 433311740, 102877375, 260565488, 681320499, 429744260, 1045920147, 906305997, 300456201, 382942473, 554686689, 648185693, 38052557, 1032274453, 512923397, 249333017, 444310801, 1029295232, 246339065, 831819024, 339507739, 821667898, 749765110, 407929771, 52632757, 953354021, 324563389, 864386677, 836586814, 522979671, 1066221770, 942548118, 317346163, 504153188, 882937021, 1012673838, 851890466, 154067378, 1036438343, 16187268, 246909931, 273523734, 984629152, 743322031, 815409437, 79061606, 467874897, 2169818, 650767954, 682692198, 493499161, 882770017, 1007373277, 700010214, 313568960, 974023867, 1069952537, 739377540, 498570746, 2800100, 251280424, 29634579, 525518282, 41608358, 456934581, 1048104762, 342259677, 519102043, 541465832, 549267972, 629673267, 182594007, 923745918, 775687645, 943420069, 186841671, 105729979, 205948762, 622952849, 816874659, 538430207, 842807354, 366792601, 570735071, 980223668, 600474364, 820644737, 340677137, 871879389, 93943731, 512262520, 715640272, 680855194, 832344716, 591173893, 999529301, 296838600, 32251023, 776746480, 483899459, 1038003285, 581681559, 191482865, 92001882, 709071461, 784386900, 41148679, 156704064, 679849822, 678189445, 837394776, 208892375, 716719145, 739382733, 510131853, 362285345, 487381655, 829112565, 456986255, 887585887, 909096590, 1018547680, 988655528, 361022141, 626594885, 942264124, 739185147, 254312482, 847344152, 405889245, 937277293, 636737046, 23636097, 437208131, 444089073, 45099399, 736721536, 706859888, 834532335, 829995165, 931231862, 582705148, 36381689, 140556573, 580366905, 516695759, 487088584, 55921217, 963845792, 883064307, 904221838, 457786259, 372094564, 428395712, 420844039, 683297244, 423705682, 749777890, 903148052, 775735508, 56787808, 378853623, 603072738, 716170424, 955343644, 433360636, 696538952, 12728606, 255753281, 744665399, 710370337, 1024031775, 49079608, 925588146, 109435064, 1064888510, 511466919, 788737491, 393955218, 592900068, 72674933, 336758981, 272379042, 178412131, 812084329, 951738997, 581030890, 659520390, 355453063, 649206165, 369762300, 598724698, 455897033, 624332410, 538277718, 127613153, 803858806, 675588470, 953998581, 976924467, 189850954, 881945055, 174357160, 969971655, 390636615, 127975357, 789129893, 225251077, 367398334, 177484034, 521267952, 612527439, 450458745, 1047242305, 912040391, 582085841, 306822192, 229225121, 956341692, 875037949, 1035780312, 910502947, 644749170, 870258088, 406604473, 40248144, 603632590, 172082672, 873664461, 338721255, 12230350, 214634168, 572639097, 82558491, 776423267, 76890550, 966643596, 159555994, 129459840, 15956216, 751219668, 907678931, 20285218, 139049747, 493424799, 801169005, 539055565, 207044954, 189064192, 667603488, 957880679, 170870246, 1019141314, 1023212544, 930723824, 5815029, 326826261, 15671610, 714277820, 930572319, 204749705, 273654186, 547848252, 20200876, 238194663, 694295014, 116529537, 125771796, 233964418, 800537438, 928653367, 814236509, 862182320, 987571975, 782708100, 663210479, 374067171, 648323190, 11172257, 608595984, 984125242, 545396354, 14013325, 202373665, 992004975, 936395849, 796747944, 782676440, 1050549233, 592067165, 94312287, 59722598, 665025152, 861410571, 645151465, 613511120, 937118252, 121198852, 1068983620, 284938012, 621344605, 131616651, 61586932, 774460479, 382042653, 737005844, 495664658, 871357555, 1047670573, 742352891, 405302470, 186721806, 664463261, 273926195, 264743922, 597038325, 427367134, 327845080, 11605576, 368458778, 769065515, 323106248, 393674308, 265554491, 949407775, 578743246, 563350580, 289818558, 603676941, 291770654, 198961391, 348260331, 289687789, 518662020, 589390544, 371907181, 303150593, 1053954603, 112901157, 170083766, 800519490, 505193787, 805284825, 743592253, 278462760, 255825883, 467561914, 872174014, 812677306, 5115814, 1005552434, 308763027, 796572973, 414499620, 603109649, 454951351, 706755068, 951313971, 12404331, 483123558, 178832069, 955005013, 23178575, 379243127, 698862466, 570153259, 938369808, 818646293, 874624425, 437707029, 410139766, 430240596, 438049562, 758247381, 514445026, 699923824, 583968195, 847700301, 313451152, 146395721, 123691933, 140976214, 82619014, 335587054, 327764532, 432449514, 192526828, 115871430, 116274553, 114081905, 173429739, 990196484, 192603593, 602488119, 702253304, 140155151, 176031232, 209507454, 326607302, 848642457, 637670659, 37226790, 375411162, 819644522, 261867866, 578457285, 225534154, 932680529, 91948169, 819151131, 384270330, 909747065, 746064177, 283331762, 62342955, 482176791, 950326637, 798489269, 913013944, 245930548, 412448212, 380610479, 33306922, 909291916, 353672774, 499904294, 171080434, 424551603, 198288816, 403814803, 159913620, 935382609, 264321958, 114094577, 925671156, 811365501, 30161000, 441796911, 149353939, 488139807, 60706927, 10104619, 69950233, 521216658, 63845096, 313120658, 440157423, 126357722, 992683881, 841689580, 700927003, 253895509, 718918070, 24941292, 303071127, 975618370, 608322693, 449276784, 358321334, 359066068, 1000479405, 253132782, 201697655, 108915447, 654816404, 308157914, 414225223, 601434038, 788569441, 90540001, 118400662, 689774622, 982459313, 603577105, 90517916, 389306346, 253661475, 132109520, 79142034, 841207246, 218870364, 680940093, 721515647, 392296371, 357664007, 778434052, 478787413, 678606241, 800237291, 1028713572, 873733351, 920901155, 144107815, 582744134, 998403149, 166652426, 1070513849, 366676239, 709936392, 1068825279, 767001524, 496501346, 512661217, 1023729517, 540860027, 640833085, 334021390, 61267633, 47371718, 105111306, 387836740, 236118146, 91105590, 478073647, 735615366, 846751959, 658096599, 633049100, 535663705, 490182747, 299910207, 501662763, 96417419, 297603399, 187831035, 761012544, 827985034, 213122938, 602149413, 379378229, 575162942, 155111203, 271568162, 585347871, 737510953, 1050289633, 80579616, 318851515, 810520361, 511543385, 641606810, 333617264, 97968841, 467688709, 1071335494, 694979159, 198356243, 416905582, 914223964, 606444317, 332604990, 829986561, 515894999, 786562075, 342073727, 854518620, 319585217, 934983849, 698238499, 925628634, 84276215, 609116174, 967911462, 40319781, 930211057, 221657955, 221451735, 1072639504, 736590066, 438431206, 1055930621, 766279369, 329750622, 755300226, 629583479, 412234197, 701020129, 586336056, 466028892, 630731689, 272895397, 990935685, 275552316, 366335639, 372112566, 929156824, 662543776, 668466708, 1025333186, 449247452, 619875188, 889915819, 95578916, 464039775, 547422774, 640271471, 104866674, 386090558, 221071655, 93175387, 641720127, 699580917, 963592700, 696503059, 887655750, 879369384, 933868447, 891729917, 311937415, 33302721, 896930038, 213561967, 462888645, 322369418, 945110065, 737595404, 57790446, 842854216, 531524775, 344256920, 1048219063, 651750365, 750075200, 530752468, 384506297, 683462733, 573177868, 110036383, 852669168, 516691154, 897474704, 129757585, 1013690980, 491465860, 396723483, 692104854, 501352487, 866336942, 522604854, 850652310, 599993712, 537451124, 529507583, 915692874, 749753768, 391033763, 96625300, 1035002893, 125613152, 443466303, 860856392, 671835180, 694846648, 259444947, 783633436, 190809034, 613743089, 689388477, 233301572, 540381500, 727358205, 273394445, 604155041, 929846886, 234441914, 334048181, 714626193, 240428723, 310041120, 173431004, 146555461, 1070546285, 247526421, 430644905, 491076029, 1020948809, 362042966, 602446472, 331544031, 569453688, 871120029, 217170988, 552665108, 1069125676, 386746176, 611996424, 909617038, 345888669, 263459945, 716605066, 641050922, 423204157, 1068399986, 514299921, 513912346, 1058985766, 1050068277, 815320541, 1033159642, 366413683, 478429795, 834861577, 847563894, 822977505, 80948149, 687551081, 842034942, 943221838, 15868871, 753945396, 121467437, 730637822, 848181062, 225967887, 101353606, 779914793, 193315545, 43052435, 349851333, 1032453142, 442707252, 33819395, 345373346, 606001534, 214807296, 980650492, 882122992, 291094433, 1006614080, 295249140, 373055237, 670317113, 587673006, 391503952, 376697106, 825090069, 582153971, 708628973, 769666028, 321777861, 638877400, 879583689, 847688952, 778454153, 559644032, 509266639, 605441793, 386834723, 350581853, 229225140, 305519219, 831498902, 801844204, 418913006, 1024288296, 999757059, 888140316, 154228275, 391532231, 616384493, 404461594, 991986121, 638999077, 73602144, 365752859, 685937756, 726785519, 652630592, 44470557, 222767704, 477671769, 230667106, 676305032, 1049859242, 873598393, 222278543, 780899508, 26603238, 64394940, 868121637, 647023163, 216670849, 12033421, 510524492, 779460882, 67429790, 779066151, 903084547, 203629241, 736648207, 955129900, 616949875, 517378640, 408903609, 292986200, 536340846, 710721763, 1019622712, 277810346, 189165478, 379996702, 767863272, 527252051, 105221129, 721564616, 303440583, 855034182, 690193276, 983808054, 492766056, 804338051, 974311892, 214276127, 610034689, 830455779, 66342835, 76829454, 929303078, 681826504, 21344940, 753277916, 177011323, 498402224, 163481609, 492967462, 799265650, 227020217, 271697981, 936244691, 787071622, 566618988, 632492944, 502206977, 1068254038, 839613378, 670034169, 708106046, 527866894, 844502352, 638499988, 284174807, 1026153167, 1045324969, 67292867, 544209004, 1035908004, 991380069, 968547742, 318306165, 108497957, 17527245, 1046599251, 87770324, 722368852, 381699806, 740385096, 212202597, 22694142, 933153112, 414702515, 478938549, 439822356, 305944609, 346559872, 119216635, 977175698, 995907103, 326330408, 232291752, 640608735, 183633808, 724826730, 96715150, 440109829, 270770684, 323178018, 906281174, 674271957, 440574682, 595513861, 330111319, 888824660, 674240204, 1010346902, 113918156, 18333021, 661362208, 1002020021, 571365187, 880637181, 409017607, 273005479, 83424093, 62738795, 556468623, 37680966, 871407684, 912497166, 134011757, 819260314, 23746261, 167299772, 664995801, 736672131, 825692120, 826253476, 891894632, 42740278, 518030321, 120002282, 43597321, 992189275, 849937783, 895999133, 429589543, 842594592, 726006725, 683513449, 372711457, 428540306, 166684410, 1070725296, 743883847, 86553995, 968363213, 71621513, 884562132, 960339117, 682774244, 867928431, 134832782, 385607357, 746131925, 417184021, 415082293, 21101431, 132223545, 1071545713, 46272477, 1006886513, 30254369, 313701410, 359755917, 506042272, 200043405, 260055328, 82858987, 397273447, 629033521, 443299568, 1028833947, 117347014, 796302865, 287603876, 885907915, 260579056, 549150682, 552951325, 1008203315, 330972506, 390620024, 607801438, 20713881, 964400185, 129512797, 89264525, 627452019, 621641551, 812535170, 474229023, 1068145563, 75015003, 221537251, 1000879919, 638158146, 279376960, 840422818, 46273409, 397954277, 1059868602, 440517320, 1063688092, 149674097, 497883545, 506889284, 496907004, 378062997, 478388408, 269029692, 791997960, 1045274538, 654911775, 452263173, 745301347, 309972185, 248903250, 356103883, 444958819, 744107837, 683485126, 240613330, 836954703, 840903097, 338389074, 55284488, 440899151, 848700677, 281395894, 313229461, 771771502, 738273258, 5339651, 291319819, 134676219, 1072577570, 287556819, 214671423, 626380386, 1048377367, 800142322, 577544447, 675315417, 184690804, 717315516, 227950335, 930926149, 29330576, 448315749, 697370584, 948251743, 582190389, 22110991, 158175446, 231422091, 262628683, 902269981, 229101118, 684003367, 207089540, 264855502, 234033235, 43817300, 7079744, 528684436, 214049406, 924232187, 215739736, 843394004, 154650737, 764372601, 439179860, 648941680, 613663630, 573277287, 356868499, 918006362, 330588041, 293191609, 1030510396, 704273887, 6910518, 618528070, 1062997971, 67278697, 977368749, 955945430, 428919991, 468421636, 202675969, 803646207, 1018023981, 447852097, 291793992, 753275694, 416426103, 551039455, 208313672, 589614621, 251429750, 51223623, 177174059, 119849159, 287472791, 664263906, 329378452, 166351503, 266515863, 166829895, 898869008, 987953212, 269818547, 291438058, 576488493, 1068910167, 227247767, 1034712807, 665057801, 472296470, 1028911655, 817578666, 857814053, 1028356166, 604185768, 241725514, 326168038, 107812896, 315922783, 508782681, 1003475888, 866573209, 417464853, 952575998, 279727662, 274416929, 123823110, 194415352, 168941585, 188930366, 68731385, 654399236, 137457722, 186908967, 733969422, 323995471, 180186061, 287516212, 796596876, 804731800, 533617375, 179125370, 77726060, 382300332, 72158775, 539383578, 554949176, 989035295, 144166534, 97012645, 250401431, 809046133, 974269122, 561938330, 32684366, 816170719, 384143562, 749110322, 770610484, 883148665, 683936162, 900536280, 921329014, 618790189, 223712563, 445095217, 988595240, 761154124, 748559483, 931459469, 440754462, 908626907, 815537505, 1037581605, 147696223, 103409660, 110356816, 123447593, 691979898, 602876242, 399344557, 919265422, 779065860, 574199962, 77925391, 694005725, 538618311, 871554036, 866987084, 409040781, 802626478, 1054384063, 1044198701, 500219792, 208906868, 852931302, 854340280, 484163117, 813184906, 903428743, 234847731, 506335689, 586897624, 440248978, 145658408, 454160559, 92668190, 601472967, 433764781, 544350531, 321697654, 715028970, 944371142, 611805249, 652182478, 876158688, 232962016, 715992234, 214224754, 409942481, 1070714321, 534442383, 296503129, 604373931, 126904147, 342984660, 696518635, 489327912, 249967921, 772369668, 815269033, 804358776, 76884976, 993926341, 741415554, 981545739, 213505352, 298355773, 773839703, 351824376, 851325617, 65281995, 1001391513, 575870368, 975278668, 696411954, 790921447, 384927374, 703896168, 202817130, 529040442, 312660396, 89479560, 1012685485, 733612563, 58355786, 1004835614, 41994512, 464681213, 530833156, 988338225, 606920079, 459525546, 114969792, 397199608, 771426673, 770377820, 133808804, 1048448597, 934359654, 614646651, 704140271, 1066384084, 961192929, 600163963, 199324000, 96035180, 304129165, 1035212975, 906411473, 161253321, 548245155, 854284244, 483321609, 485583068, 422892220, 51445242, 515022730, 913408258, 405422338, 948621970, 1022770315, 107380248, 253673465, 438680498, 677253331, 676259439, 58196664, 1022362835, 476691252, 715448162, 243210866, 546077466, 14231839, 1069453730, 206276504, 284074329, 161499853, 842322183, 376253607, 207479841, 398982101, 300985521, 438188308, 579781563, 761594488, 991474115, 996933332, 196264297, 659077989, 664977276, 5491233, 1026456326, 125520391, 880930888, 160172038, 562324228, 691261990, 255615073, 1098989, 37485141, 655855057, 601601087, 887785385, 622265547, 597420200, 206249258, 816667347, 633975450, 156204175, 1073480185, 438317929, 21957255, 842595383, 547912799, 318732351, 646821305, 698950345, 510212490, 458958495, 50390671, 305032091, 608746410, 591418008, 492245532, 838379178, 1033018707, 193558550, 917615576, 627262946, 685538147, 572883739, 939733893, 930277674, 593257424, 344627826, 147675719, 687182829, 308602576, 337617983, 1069029965, 728251901, 568476061, 1005407600, 158237805, 909310684, 498788142, 475488672, 814501513, 591017299, 817531759, 120675226, 227365994, 523237654, 370264870, 945771972, 769827303, 223311064, 130353672, 790570458, 51964615, 13204649, 516732051, 549870694, 594824457, 614875987, 169513766, 893116355, 111610195, 35527011, 269816924, 823629871, 266317585, 707789153, 222394176, 1019808588, 817131571, 446183589, 151375443, 888938169, 382250043, 268488200, 693105329, 593019193, 493308924, 527379570, 371900060, 912469670, 884367687, 952523933, 922010899, 165864206, 944056403, 699717517, 392679998, 22866129, 271063706, 947643646, 1017712296, 51794061, 917858861, 716182342, 765529196, 475673784, 212980861, 51066434, 823238365, 700277830, 1002546877, 80020713, 183759439, 378980364, 120424432, 752234678, 331654418, 579614593, 867386137, 1018364833, 209227968, 140774108, 242398604, 473935074, 616547760, 260995020, 415363757, 733512959, 383962956, 709938460, 961489461, 776331124, 523087817, 573503875, 818886559, 208562156, 1017724324, 501543676, 471129959, 883901275, 845575856, 375694605, 923830277, 402468630, 536916796, 1013142111, 110427252, 336560884, 451407572, 915981824, 1004915887, 590944366, 204696884, 1069569841, 408993094, 368448528, 319915283, 531076555, 352705779, 834954821, 273322326, 814009962, 162520255, 692047230, 975436622, 369276227, 493880360, 434483217, 113511467, 250001020, 473091073, 12124110, 1004636216, 261469298, 251053433, 249196862, 232925881, 808903769, 936613305, 554817332, 422779572, 86117552, 604291917, 1037876977, 205930396, 539720833, 897381991, 645598618, 558868259, 12895094, 257372270, 510110291, 344569907, 474686075, 769644323, 212681755, 7029170, 850102884, 206784404, 779969487, 271224684, 530677319, 266437531, 1010191586, 96125566, 858529691, 895720147, 786222007, 954138968, 264106319, 779661018, 5073801, 652037860, 32601047, 868113013, 255042061, 849592119, 169179806, 163911013, 896440735, 588766943, 801313978, 1016482887, 772219819, 85360440, 458650597, 134462107, 127721860, 665407371, 508232692, 41279688, 892148342, 751286202, 319806922, 621256432, 401441937, 752146364, 411073338, 974031563, 72102765, 228205245, 772719448, 214550054, 542538744, 764786464, 873066656, 587200104, 520287868, 904235770, 962556953, 209854016, 271509067, 98935052, 738823612, 557459751, 254580632, 989685110, 79090811, 601492253, 516879676, 341438567, 896776209, 319255407, 508390680, 836269274, 1017918416, 311994546, 114196019, 65784328, 900801068, 928078319, 71681868, 879508127, 962312184, 511952463, 725563485, 611952742, 77884638, 31603624, 360184840, 1054568398, 36410932, 991002855, 757936247, 893648094, 1059919962, 700103100, 179305430, 454684554, 827497088, 989841869, 890521868, 423525908, 333057220, 635197018, 776470131, 721481204, 752792436, 889818976, 569215091, 66027977, 652471998, 170430292, 537066095, 672811457, 396083374, 877155636, 30203216, 158297975, 179752120, 393684006, 724496366, 739389850, 273297924, 333521555, 585024812, 979613144, 212617990, 407086138, 62775484, 891445392, 390340491, 65869383, 363054043, 407095376, 566976090, 299825919, 776711146, 332893945, 267234345, 451749780, 1067574916, 445650434, 166063511, 1034311704, 106370168, 161509816, 28874979, 264104385, 1038094167, 376879934, 566836156, 262282529, 938325201, 619991817, 329801467, 979823232, 84375679, 335833785, 492857769, 1009158984, 425239507, 807276635, 892220562, 870362153, 422214851, 223786028, 590692566, 380202314, 367748550, 344517089, 406788926, 42069683, 635070910, 926722796, 25132638, 543882112, 541190394, 401090729, 543896819, 583668099, 300222178, 944297294, 331809548, 92481993, 572848369, 177075327, 1062404018, 218051158, 751702699, 379394940, 478625840, 42042867, 144617481, 762913063, 852180563, 881524850, 691295446, 392644808, 577583313, 532342728, 716283062, 833507716, 858027566, 63957760, 623159664, 998970887, 825110109, 952975114, 821723558, 129905081, 506281555, 994434580, 916382273, 289763971, 585479282, 1047389287, 862582943, 903929065, 1068700635, 891114938, 379984062, 185018641, 275493909, 119417777, 415642639, 218985212, 394749062, 393542510, 324242890, 828986248, 906685737, 776806212, 842264149, 154466459, 983736763, 472639592, 411563660, 365279282, 472743709, 816046010, 737286733, 676465745, 381176525, 702108821, 1057323399, 185395690, 1573744, 195986400, 41905722, 485316652, 700281695, 231719261, 945290036, 855010662, 975920020, 651343820, 307289124, 733395326, 92891608, 11440855, 559795783, 530061722, 627984476, 734898622, 157500064, 91184903, 883897962, 533261069, 501770786, 759694332, 630329723, 77363011, 147470442, 658746575, 269402287, 97207951, 80988572, 489330214, 649592426, 974843903, 147692850, 658754789, 269068182, 556210398, 554847030, 286983384, 48424576, 310312799, 843546831, 70679561, 829545163, 136008454, 789649148, 573168218, 1030165929, 1022204374, 982128509, 713381975, 324254644, 47042362, 296376754, 33486177, 286817636, 940240571, 836595478, 369209554, 159058779, 181551822, 916999703, 655526494, 392583728, 952399732, 98074540, 781758625, 754187482, 633479386, 756903379, 937071733, 597703091, 171528076, 327304838, 596466161, 394130469, 166240481, 785159855, 568158621, 1043206453, 312742701, 762301640, 85431552, 456601775, 619047926, 474042031, 596001659, 431051933, 199542207, 393707436, 981901390, 834219522, 317987542, 655714224, 895854147, 772465375, 666708880, 123494912, 633682186, 298394264, 706477449, 509677540, 256375709, 798006495, 48097171, 921606152, 407588790, 631191508, 95086115, 577319080, 177101358, 242825043, 221756585, 126540935, 839816681, 922771090, 906548522, 264852573, 81248875, 207014120, 718120306, 541697963, 739121441, 860338016, 300798035, 524813994, 811445259, 134719034, 930356992, 259977856, 8259782, 882231039, 810597334, 965731335, 964806598, 505782199, 735316717, 193236514, 534618059, 443897802, 986122784, 513214312, 115408781, 887190676, 364086231, 835196569, 600805313, 965235874, 707163695, 697481356, 543625043, 671061247, 407392406, 931655995, 222622521, 614548409, 169846454, 912125263, 438624162, 385466549, 470893033, 225126156, 60157746, 681545181, 144427705, 294606958, 955849489, 301461074, 679771500, 920375164, 700635818, 39446686, 994951427, 917931069, 868789601, 161786223, 544404993, 1039415510, 1061527624, 496291816, 239877181, 302728901, 369813245, 191488593, 825309507, 133000965, 281571447, 380124540, 145018565, 1067325134, 71391333, 1073357254, 863670673, 40173, 275003412, 1056581665, 349360271, 13035710, 754920134, 333711988, 125743951, 162494038, 900477367, 7049569, 307752432, 91284432, 696604616, 698426843, 355364117, 553148253, 887600561, 205906268, 680325168, 620537299, 386673233, 995996373, 393013391, 802460714, 784447625, 957313161, 290424915, 70603592, 722932943, 605131689, 871963621, 898211018, 248456701, 888745250, 15031183, 632746791, 239795223, 665233340, 341689329, 899076595, 149906622, 922528163, 62722896, 174678788, 284067954, 870009278, 429626864, 782948261, 895572635, 1029535712, 575763000, 606999548, 662864081, 279501950, 886733009, 193738109, 796214391, 220552270, 331124523, 917616319, 252856350, 185184502, 1062998693, 845939919, 744238753, 430959864, 223938421, 458161883, 543153649, 349203745, 366789986, 2352865, 741506751, 163244904, 223061919, 569206379, 232064414, 962300245, 445852318, 839513915, 48762995, 918469093, 851369465, 1030433147, 594050276, 437627677, 873791778, 352095532, 389454645, 695252719, 554053833, 796330745, 21379451, 254129971, 548107550, 412984851, 389641665, 779344041, 1003970069, 139003293, 78675720, 979351239, 601741570, 832380815, 296757814, 468905367, 722125970, 701744739, 100175181, 627864709, 609438064, 162639249, 1065973202, 957422147, 299808078, 485144133, 691935785, 14351066, 150518686, 729382520, 370877574, 735273085, 653020650, 4544346, 114066040, 176376665, 378391106, 113145839, 439272512, 669619106, 663786332, 957554327, 944909891, 692634043, 878387882, 614372188, 366281983, 465984685, 148005116, 277618459, 946644405, 915825551, 886801405, 923720890, 640205074, 809904674, 991838490, 520881317, 64583020, 1023451020, 873810156, 600271553, 244369306, 51407886, 765575873, 330088454, 1008156888, 56570474, 768966065, 776544931, 241419580, 711847838, 542101161, 897045390, 221677853, 1071086871, 692601098, 905840865, 111992138, 164668115, 435534822, 304226265, 674932484, 355413418, 515016876, 602678875, 533588169, 264622684, 815506006, 264802901, 362787654, 764037734, 944976463, 881573842, 813589605, 102693532, 740790094, 670923901, 62610094, 157321141, 510687117, 559877414, 1044650025, 593143811, 619026431, 42713197, 935263555, 687432489, 398049338, 585770772, 18040109, 619248543, 1005639437, 632526743, 733026393, 661355832, 387726526, 260570820, 1050638493, 345352280, 835124999, 225316541, 568679944, 507787928, 987034119, 611827378, 158597062, 36499043, 120306112, 117650039, 1011378528, 933045294, 884253274, 514304323, 686466356, 691681375, 141339085, 378317906, 945385114, 892845480, 852591731, 926952521, 673969323, 301667681, 205167487, 1041007147, 672373389, 402191061, 434902588, 354681944, 582962961, 806794421, 753571900, 465364346, 936567006, 920470033, 614178674, 340271820, 673272171, 850764408, 97267422, 424330704, 160571547, 147677706, 766313285, 833772034, 432857426, 682608282, 583310523, 520992099, 48847464, 266147214, 851189647, 288444127, 686650671, 406234567, 1027640843, 238713523, 926713942, 876240143, 117999983, 536778114, 219177162, 704761222, 787498089, 634292262, 44788040, 698157381, 36426572, 620941864, 56826345, 554789618, 26016588, 876106077, 465776244, 1045765363, 279926898, 548228267, 47546067, 733787881, 1058784103, 330815579, 609863238, 391296311, 870601306, 919686265, 460936357, 895254067, 810078858, 349809462, 71650270, 737299361, 1015940037, 263585387, 546495593, 734210649, 1001272991, 580040450, 896384982, 988827834, 84883350, 50872836, 625581587, 160274079, 350061107, 894499874, 579718521, 671652002, 954029269, 8594261, 251161553, 35518928, 556666900, 564668588, 565033619, 688110615, 480624837, 84817651, 541313196, 256419978, 720997874, 861363468, 703480019, 629924759, 527836508, 230624691, 172672718, 1001468295, 173827272, 88622353, 572695636, 253758192, 447017403, 257667784, 799194841, 527933766, 1029056472, 746543565, 186552826, 751456025, 314762200, 925432231, 459264913, 109649682, 368143186, 861559701, 480517012, 58286201, 252982763, 108756824, 1057081168, 660785373, 506237871, 500501087, 1021880441, 854109539, 776986593, 458421817, 371603837, 151696047, 667361295, 395351330, 30795321, 488762169, 37916418, 993807892, 535702821, 38331232, 551054270, 827812148, 378128877, 1067835744, 318952084, 504517760, 273115951, 578894488, 858643017, 443943600, 557542305, 236082163, 845326083, 327958132, 415375944, 24097137, 3832964, 730355362, 822279263, 139008356, 903851906, 743429941, 137278524, 373119378, 127455597, 676710460, 115924851, 636466950, 190110607, 233350019, 1049918869, 712595147, 836868846, 953208986, 33213082, 793418887, 186582801, 539859798, 110243157, 43338451, 165302211, 214179190, 375441205, 309007650, 515722247, 1051191215, 612776187, 724860246, 131768380, 656266945, 49476906, 1066577568, 44264220, 428835992, 957703493, 679339573, 577506833, 353161888, 979404753, 1020987078, 734642469, 142648608, 656973356, 671744530, 264898597, 3526450, 408702481, 941538040, 663854737, 150987730, 176366549, 379578883, 75417833, 1049792206, 960079065, 219185036, 489223983, 452295802, 966028230, 374155140, 515941509, 126331543, 837398981, 765533918, 300248753, 425122644, 373455975, 709675675, 700001158, 745558152, 363901651, 937019805, 535429234, 754376400, 332888247, 835624588, 547367769, 751648751, 976518076, 830894900, 856291859, 692668366, 688298963, 744468241, 975051169, 811809434, 537611321, 274557366, 396171892, 17010737, 470637050, 127810656, 149477480, 976718602, 216353360, 851407984, 748838756, 259092151, 478971495, 768750372, 792773008, 202223430, 48028342, 1049187032, 30030772, 600093917, 968833754, 828961191, 451790503, 685593272, 578502464, 372634465, 612341909, 51160259, 775290930, 257924417, 290705978, 1056088503, 1041592657, 331702489, 971665599, 987998837, 799314250, 177809279, 926032498, 301331415, 333186638, 26801362, 1043032672, 294369886, 631466167, 791213463, 991388423, 412019084, 671091784, 819400906, 849218913, 833092920, 443316252, 468937744, 978218329, 519815040, 244272327, 107733029, 798912155, 538321342, 334969042, 132591211, 569773151, 673953036, 112376816, 681367770, 750498867, 10395198, 281053736, 644832507, 269385253, 516741892, 1016782423, 525298284, 240729078, 506841608, 917551359, 409056684, 471981570, 961162722, 473940045, 832293867, 720180432, 636962021, 39466379, 1054758798, 15473228, 782174540, 665196577, 595045057, 945469511, 902733942, 350079310, 415966364, 589284443, 732483445, 331235987, 589319815, 327239974, 874748206, 839693734, 664396862, 946768334, 115808709, 679779601, 133238207, 532163406, 580741755, 283350757, 457477942, 365050588, 239797445, 634052710, 222765367, 304391305, 480706759, 671372590, 587112784, 392095901, 870686021, 446008439, 403351953, 703787338, 369647092, 523258199, 485858071, 343635206, 1020203291, 771350207, 595824930, 994796273, 638010971, 149673524, 753098808, 263976761, 334282746, 980582061, 654486803, 603368965, 135001964, 310335964, 95711746, 581725994, 124473348, 621164104, 981622938, 481044855, 152179294, 606556005, 232670847, 369846807, 959464196, 339742715, 787956159, 873184562, 468209470, 747932435, 461340987, 342818157, 287762901, 177193922, 569766107, 1063625348, 278404374, 135250102, 789366697, 361172217, 643076191, 733429082, 1013501882, 734813019, 49108510, 540984804, 348545392, 553159729, 958350744, 144445265, 777155870, 994056210, 1040258544, 624616992, 273266491, 445472648, 36875324, 942237786, 171075867, 511675382, 411163312, 962916236, 647485853, 1040869583, 671100613, 473619814, 362792147, 42929445, 55194442, 1071039583, 1010877614, 102323163, 756349939, 93066650, 783036924, 507604289, 1042123912, 632867387, 885539493, 865968670, 993550688, 325817969, 600365729, 48486366, 466185718, 912421495, 103649855, 493286718, 491889247, 507211377, 644065153, 247789619, 373486156, 745283621, 1025575732, 341655569, 365153428, 561829711, 880997681, 41589422, 567090677, 471329542, 806404325, 846320613, 638006579, 828054707, 761453061, 422430426, 987887663, 336656985, 617035204, 186737042, 688896138, 794660421, 377132999, 589802031, 505735282, 396118846, 561834751, 618869247, 418074048, 528056895, 821198836, 889097711, 710932440, 931190006, 115969840, 747862825, 157487351, 131246898, 474975478, 169109763, 85509046, 433918535, 836127741, 537919150, 338692431, 667073087, 317310881, 15408721, 404063803, 850015929, 814948842, 721934432, 57951116, 661613031, 362145038, 718210792, 637787224, 606261580, 156320986, 930195767, 845461451, 572116716, 653711095, 478725932, 411443331, 175052496, 1019109464, 985143960, 194463121, 771973101, 728735097, 788549614, 730060199, 57967916, 459938160, 263796929, 613405322, 1003457793, 822255169, 341914062, 11481813, 411489811, 111368421, 273391297, 865281911, 564808380, 736992677, 687373761, 315831514, 110294073, 31900362, 219619258, 811400511, 887817050, 147906076, 47742588, 868676441, 167706724, 525614198, 641794497, 757573754, 98167744, 299156053, 865768686, 362149325, 594280654, 27673292, 306008554, 209194053, 883195972, 112331429, 1001942560, 350054769, 703314689, 341010076, 195966634, 838858699, 468809986, 28063384, 516880901, 4012167, 996118576, 928440369, 531262826, 17722136, 407615284, 361762628, 953139223, 858086304, 446006779, 634957818, 138660065, 540872641, 431143824, 1040763339, 744212506, 127596691, 262889501, 635260815, 738475129, 284194699, 849242744, 509363742, 685688914, 263488791, 785916240, 320063810, 108642219, 981122001, 432818205, 333529814, 1038442731, 249652842, 689743840, 812959047, 138365899, 675241638, 1005057781, 744238673, 829841698, 869074746, 552895001, 622153599, 698831769, 523346207, 442587682, 640268387, 418069245, 868730725, 160909357, 876857954, 640623414, 58467627, 208815893, 1071209792, 912698284, 637170595, 268234034, 527012287, 386826637, 1015169275, 717893112, 453481541, 980747845, 875980164, 273902676, 802613892, 428347237, 121022342, 255802536, 714899176, 303750545, 607592468, 1018190607, 591975763, 144365815, 556562392, 497386208, 666198376, 1072619817, 570117902, 811062502, 369993069, 930021690, 331799625, 748860473, 315206805, 1055793132, 342886769, 873991751, 207996610, 726859483, 971311266, 433889339, 211555923, 259965588, 408515003, 252505136, 662196824, 815789796, 625450238, 816570014, 250747662, 545176915, 775347766, 241576393, 107850220, 521085944, 1043698116, 887980417, 680957804, 75790765, 476828887, 982342969, 926403565, 345855587, 192336007, 635327136, 870282559, 976810327, 374332110, 877221247, 914918937, 765052582, 907037845, 743342751, 901347105, 885306052, 501494216, 745719996, 701116493, 514408761, 769775792, 556626176, 279555017, 539841107, 329799479, 261022062, 774599731, 505632920, 880728488, 600501384, 803138777, 853375326, 841115819, 394062154, 847762620, 1021244349, 676135594, 499323636, 150443508, 304265211, 234937294, 508763564, 368811086, 1047228032, 995670542, 584021836, 774111154, 675578287, 607344059, 263094258, 332179785, 284986086, 492245040, 418142709, 229654266, 949024408, 113599007, 214637805, 1003891532, 85239181, 897873171, 29755835, 598939753, 94810775, 96307116, 675301057, 373323104, 325197481, 742157235, 148723518, 200071092, 422070340, 334223622, 498740291, 125461899, 877881108, 622425274, 398444644, 893797, 740105962, 865645175, 719924848, 127548662, 661377464, 510973664, 217628225, 372404279, 698333161, 416907535, 1068933825, 156947934, 439137542, 735378821, 823888846, 188218380, 677855809, 131117198, 668419226, 67826828, 164584432, 1043712079, 520043352, 342596292, 986584113, 350338996, 371799880, 389993962, 767720084, 495916815, 399557768, 616879938, 597598790, 1023379328, 947078994, 344415890, 759461089, 1001309402, 631789158, 562086647, 730896818, 554513776, 178494723, 28151045, 158808123, 161274323, 607308266, 399088694, 1061242894, 845251608, 300524380, 46860493, 177263933, 873782908, 604561802, 551323484, 391241062, 980414571, 68341012, 117868329, 935071955, 603028800, 790375456, 617505040, 314742445, 914367677, 79427916, 214815766, 985073763, 270586140, 1001402002, 1032445869, 145801446, 577181765, 80969308, 430705220, 151621713, 165825296, 63395891, 73873002, 183987661, 974762242, 958546326, 318996458, 213122214, 1057488069, 395730197, 1048808912, 455730907, 565734529, 119280015, 915359088, 88650628, 2699961, 357376985, 826858834, 226287386, 495814411, 265449129, 787076840, 300200654, 378872217, 530140314, 801594868, 435195744, 942050866, 1055685541, 359772298, 510707514, 561136636, 725166343, 206271302, 11999301, 251736441, 527670284, 505981271, 665692468, 1082442, 336819623, 74518522, 677216897, 463286828, 761367091, 1052113771, 553756522, 393574319, 500879919, 849619917, 576329430, 801759889, 877396241, 522121807, 187332085, 898755445, 208290671, 158269958, 933681106, 255523952, 773872046, 741719409, 727146108, 987063567, 916003133, 681064851, 760612935, 258503630, 140939077, 852527249, 1030300727, 457623994, 674470788, 626378087, 199320298, 161520249, 501407262, 720209822, 209179983, 42073185, 739390915, 543445879, 979462424, 622995217, 621252068, 406707767, 11869513, 802570080, 648383497, 151270918, 121227813, 577885033, 104013482, 986167089, 637054403, 344814620, 327567551, 59876492, 66235999, 341782286, 709455601, 1003208846, 896709713, 23891090, 811514538, 684986123, 151419688, 286236840, 612891462, 288869016, 94065842, 62534770, 112271471, 1067850167, 167461053, 815062654, 278628394, 198869106, 630911386, 582322714, 302403835, 212017847, 831136903, 790729052, 458086330, 456605035, 56019546, 719703289, 179982537, 368878439, 458028947, 900249650, 816083152, 686272953, 1024224434, 126541269, 743534299, 946019160, 170847625, 686680652, 868469655, 785290594, 346292233, 553066176, 100203572, 473091412, 820604919, 522913483, 587356445, 322635644, 196320142, 58662420, 159654622, 916893881, 379321704, 240711038, 101172917, 953224038, 679162237, 997106082, 214614576, 197052478, 838551523, 223381304, 203160948, 72099664, 61972946, 422241621, 405924008, 304866088, 856842035, 719211048, 715718741, 200929245, 922668489, 961185973, 937544065, 45524506, 210621365, 199690700, 754100501, 87158226, 976984282, 580919258, 336354815, 327525219, 266235990, 681547720, 827593814, 609728908, 936601315, 297956857, 533825060, 1042199763, 57218537, 274192976, 503430053, 286391323, 335338263, 530484414, 552988650, 780513600, 1036206449, 710855816, 199093191, 932609288, 97550226, 846367963, 746879474, 735666801, 327011250, 31591919, 362581759, 975165829, 549082066, 1057043855, 535838193, 364821517, 146250361, 14128073, 605486983, 665860191, 160777513, 607625628, 286656587, 803424783, 968080307, 823933813, 924276623, 784318872, 777416123, 939296697, 638392987, 941425380, 579998634, 631608783, 1039636913, 798455196, 34513947, 388099555, 200550921, 594535201, 370605752, 458095472, 733977931, 348748238, 975883091, 795696249, 834762641, 694086297, 183761008, 737722271, 706575402, 90398169, 341328735, 85912306, 50989323, 626979246, 311902093, 803226660, 266722957, 137172387, 73344154, 869391809, 71431796, 933100191, 388602407, 109561496, 490469978, 1009496675, 929012577, 926066374, 1051173712, 59407967, 132416467, 861504829, 1051040801, 492850450, 912037483, 580571887, 1043081745, 1006398848, 754386163, 877921817, 179979160, 679993011, 569275160, 110872558, 885927000, 195611395, 740254371, 348261202, 476008109, 217098918, 927735908, 785280213, 595437364, 861821557, 421967928, 831406683, 305917337, 22478823, 313071757, 149202552, 956820398, 1030769416, 518755204, 479490469, 579167347, 854886182, 249591800, 184970046, 601651583, 230581357, 769558147, 477977747, 310357700, 393347309, 193649741, 534494635, 84130997, 780281769, 39737968, 956732998, 604403612, 112221709, 382418287, 764767931, 612153337, 535451021, 591628570, 343261663, 400162664, 526830576, 190242017, 499973847, 757266728, 208722445, 582307060, 697080504, 70470497, 1045461034, 528898709, 484519276, 1029857712, 1066142500, 702773327, 89045585, 521805293, 886912906, 573283633, 108007661, 802758479, 386145720, 538432717, 119864555, 1015272015, 148998947, 575000443, 254855849, 76751692, 127088187, 164689294, 766566750, 209275604, 382467358, 945266330, 260389528, 599696340, 623753622, 294100966, 835646698, 97570453, 734670031, 659019348, 741019040, 250049223, 584789118, 423926141, 525286434, 191780386, 445557428, 540119060, 599515969, 784453246, 29943338, 919248406, 192876655, 755017849, 370509487, 263294019, 220134639, 251553342, 967479703, 64383507, 85085987, 59641059, 882208224, 757838054, 941005705, 616722513, 1043492865, 331659430, 464669887, 878440540, 196249303, 917191702, 556544823, 732995620, 446546491, 640662472, 901172639, 566545110, 174716615, 408195268, 181813668, 451001987, 913151062, 347636839, 128325442, 236208253, 47545126, 1070063985, 220283309, 105687621, 777083196, 680492877, 580318938, 890080258, 690265309, 920207674, 235032331, 647668328, 71157398, 409798682, 964597918, 511616166, 392247888, 356334511, 1017399996, 128995833, 606615707, 811608795, 592165031, 369357659, 353083210, 567650101, 123412649, 889609620, 547802612, 511953374, 613664120, 1018147398, 425527616, 206773296, 277420575, 878316912, 18456225, 646447092, 768843568, 399198115, 67764529, 809890662, 375675212, 1062841967, 668155145, 912568661, 70868746, 294693504, 753164791, 423351200, 35454661, 521794040, 641341388, 941234566, 720006492, 235126017, 94216195, 283257228, 613692842, 316476649, 341071927, 502161300, 969420077, 73250160, 566179831, 791309173, 772161144, 856602484, 618695893, 587436313, 829393443, 225668055, 238538951, 751944945, 344451981, 308071193, 503331099, 692834742, 595254363, 660681422, 18196433, 983423486, 732233739, 612068237, 436877325, 503503717, 702843052, 481007982, 185710748, 1064465824, 1015795179, 866883903, 1007915169, 986306266, 307660827, 28890790, 410592344, 249095124, 963791507, 332691711, 944615033, 239022983, 801040061, 25342080, 1027676196, 296245436, 826409290, 908218484, 1032773469, 1055279816, 286733556, 562035827, 103143371, 667929650, 751201928, 361735350, 957463273, 817068506, 51982291, 119634864, 901441618, 787158917, 775230027, 610889764, 853495648, 937604085, 751347158, 673436953, 971659593, 728814419, 801907419, 68859929, 988639657, 1041047861, 407570120, 699015343, 389538920, 203921906, 581836249, 891881956, 416073690, 475148315, 847419466, 1028687179, 968347229, 702017315, 182057491, 657833368, 975048273, 480122380, 918740634, 793052385, 197161645, 978839443, 943302961, 100586731, 569029776, 282532473, 231147865, 324369178, 598362873, 1040102255, 691617844, 246569451, 784874738, 813504799, 425095482, 714656284, 618577600, 774264725, 275580220, 450158094, 706379937, 438118896, 502535084, 3224904, 1070494218, 199583373, 453936150, 173219666, 620417594, 120963481, 958255496, 767910176, 642208712, 12076479, 60480681, 407540675, 184430818, 404276981, 1021408402, 204949336, 5319744, 563996698, 797971872, 360265344, 948176985, 362032777, 1056377039, 1043584442, 118490624, 662690575, 1038991722, 502366185, 896726421, 1032303151, 94246092, 119718371, 14750140, 884207003, 956878826, 1029984034, 1057175410, 739133722, 685249422, 242322863, 740045266, 1000759591, 810558218, 606740697, 652772721, 833897892, 451792181, 701945797, 863694150, 896546207, 357470596, 428531138, 205514843, 550974446, 223805075, 55436863, 977581413, 920143902, 250518884, 783126087, 625047482, 151953146, 356989029, 550105126, 761217827, 514846403, 708253386, 364958449, 665281764, 105836205, 828649685, 102411361, 581248997, 135818875, 164230892, 960559259, 74501972, 670241638, 667132954, 983684163, 624789289, 523626163, 808064983, 29177328, 1848976, 37003714, 9607090, 65918036, 320999015, 454333362, 796972468, 781991237, 878384900, 487350730, 497785622, 1055216327, 913166547, 164360665, 513270191, 786385539, 981897206, 810133825, 713658718, 543624938, 447202568, 441841074, 655496153, 669377394, 306527300, 808883051, 368529801, 566339455, 742508676, 743788005, 679108638, 58325163, 886067958, 108302225, 275873050, 154348446, 408110528, 785836697, 138745034, 780149414, 724278888, 330236575, 389465426, 491774405, 394590036, 162275036, 586842811, 984914605, 288261640, 819523491, 975916053, 558524752, 1008670049, 901687414, 37054330, 915240849, 499905618, 435089435, 610904740, 258020816, 620223372, 473678487, 902082142, 461075067, 732058595, 647686672, 739873388, 1072011386, 585562216, 391544429, 3355297, 412625544, 495523680, 888945180, 610103288, 884738446, 872972670, 687449263, 248313233, 17412949, 29328515, 160261248, 118569747, 964735286, 1033057041, 1007809697, 753658374, 1043973078, 44871436, 523803653, 107795139, 540853697, 362346019, 1028118855, 513153351, 43591695, 949409017, 201937976, 1006851247, 422910329, 869854784, 448248958, 584075891, 343573262, 687372769, 514966164, 1044094024, 168044571, 774258334, 582668002, 57766474, 550125348, 967974364, 1000693798, 971047447, 688342996, 291072213, 162664671, 624700082, 36794177, 142359913, 125586819, 612520718, 48458415, 329373081, 557125988, 1040568497, 135069220, 341927713, 935719069, 789540488, 30398231, 481803848, 901129721, 338182042, 651198893, 270329526, 904727347, 136625160, 1027032972, 33690965, 858662722, 244699823, 593265581, 489412997, 644726204, 1006684219, 363554121, 81145298, 840112735, 609611846, 102230846, 411488866, 1012171154, 1027367906, 803054323, 642995525, 955563893, 1014573163, 1013477260, 1001318698, 360259413, 375787863, 60467559, 841076460, 190197778, 196211522, 520162633, 539001561, 788657304, 850247708, 401244208, 915216155, 607941363, 535070353, 78334559, 531947919, 1057090014, 823450237, 347148821, 226186491, 1049926454, 143894767, 1055345756, 226433969, 921091614, 678478887, 929604265, 374863927, 381377847, 240576500, 506742868, 810304346, 203847288, 897463709, 579768717, 409855550, 362009338, 767663985, 902482988, 551881612, 562170562, 271366032, 963204741, 404679192, 218233493, 46486192, 582932072, 702846436, 105037200, 776838000, 723621880, 240780075, 230702949, 474439684, 690100651, 1003747971, 665272780, 668405168, 511657280, 450190578, 849270838, 457568923, 882177612, 754834470, 226830998, 901786784, 451557849, 201587668, 461726722, 73354975, 650954865, 84564520, 475838787, 314939667, 414115206, 4510271, 954640214, 466746986, 902038054, 872281470, 586296925, 37632960, 363672038, 1051935749, 110960937, 292719081, 668990539, 791233670, 821612154, 885640703, 23057005, 661223048, 487371235, 738260136, 589744051, 639125581, 564627470, 146233452, 832171689, 1017951213, 1027367476, 1001726393, 637428986, 428446266, 888358914, 413594387, 37489729, 545470624, 1032246840, 956558678, 196313325, 873765454, 103761552, 701188831, 377559044, 893497034, 869572398, 437559872, 66789598, 830317477, 700282614, 971894930, 827913420, 558310455, 726649784, 328467555, 755421360, 624465727, 71518436, 870941996, 787866036, 198144755, 615989681, 817944204, 628646670, 756060000, 45082937, 524215496, 392367960, 97274386, 454265338, 617116918, 145056763, 533371763, 544626070, 1049738718, 351621145, 605136329, 338573584, 954854947, 618115460, 415639508, 319752629, 570691548, 886947031, 236449289, 719331429, 757477813, 567058522, 311880619, 118764392, 812667108, 486221831, 253278242, 308507301, 951898801, 483706745, 383900831, 146864185, 748278321, 187059392, 105401970, 637472153, 789584968, 126329027, 132732978, 479419847, 931941533, 569535825, 1012363625, 129510253, 461368638, 1023536308, 754889360, 559626203, 158853793, 354386388, 907685267, 274593104, 418958720, 975856453, 968580847, 1051302568, 903277371, 27542894, 980516894, 62415501, 368763513, 256753901, 1040554673, 480325167, 597013118, 143602655, 366216787, 1020617428, 554624622, 293129785, 957337869, 340652155, 836436768, 733021448, 278384278, 43250090, 1053748531, 533191285, 814835563, 851323390, 818654172, 994165428, 628680373, 1029474685, 385127615, 511162098, 450101662, 395379548, 973916362, 707448525, 586549534, 361512653, 371529215, 363657675, 363689899, 627754394, 976032871, 266368591, 305816941, 422649251, 337612999, 1070936720, 155011406, 957424579, 857178513, 60408046, 575817129, 749234437, 174584896, 152834517, 449941645, 84073511, 856252315, 551329185, 299343191, 1052123270, 623825988, 717238258, 950061342, 303279845, 1005493449, 63240080, 701227613, 880114406, 848411415, 272813836, 421118031, 769205816, 270052044, 477852025, 118329170, 788359213, 451460415, 142019865, 969818135, 503304141, 772111502, 511533348, 281399186, 129376959, 22853717, 170483311, 94463280, 21936612, 1053847178, 1021738021, 600124945, 1042260680, 675493702, 545271971, 191160854, 462211969, 211352946, 29660671, 161637565, 326699531, 1005829092, 1061886891, 76891912, 913190341, 845776511, 999439256, 815778687, 729459955, 335788765, 550272016, 175139924, 163662741, 1460708, 552546746, 340929061, 163066435, 129936645, 884079577, 1000280423, 432073763, 665733238, 524354394, 614393152, 829515356, 320525929, 230777562, 438207167, 578997835, 351055315, 714758779, 1066653311, 1008139755, 66642511, 462802678, 910943963, 953255796, 73402054, 528249409, 409528548, 609006603, 874903933, 615156716, 336619401, 584520978, 632745783, 115972972, 648487385, 631546313, 1036074136, 886333700, 809398276, 971792281, 1059306855, 976223341, 307344168, 321947140, 627778250, 169476383, 216540189, 193172563, 240545742, 343719431, 822718766, 681682175, 12780651, 660559199, 7314482, 41941235, 666268295, 241041669, 746741303, 78518487, 376840071, 460932298, 829930111, 758185486, 1063077103, 605343935, 1047336174, 65920060, 234910835, 24908807, 996786248, 724028660, 681730437, 730325259, 25169318, 739403911, 506246670, 431210450, 170895987, 305599667, 401111534, 536282700, 718186061, 297734945, 120291125, 1023277486, 585134699, 864818138, 489731005, 931354131, 889735755, 323128781, 798413675, 62338515, 201810518, 108027327, 533499784, 722588017, 559333224, 277737833, 681056867, 12586097, 185499048, 248463956, 526539328, 418506749, 107649480, 465185506, 1055915590, 712009987, 1003757, 389125092, 777123019, 17291304, 59312678, 311054544, 1022379514, 851216733, 758048823, 388467194, 94403786, 1056533981, 384009479, 455113503, 837506855, 779381266, 288333577, 120385953, 456770634, 760679755, 858528345, 719932788, 161849860, 510050749, 481406185, 603907836, 700928192, 300742976, 484870374, 617879533, 890107348, 822794672, 176271985, 322498950, 957450428, 604975880, 304110688, 934259081, 823105362, 894650271, 982050152, 452632689, 197874147, 429185985, 878385177, 296217832, 349949919, 111020765, 640286282, 474343609, 105609165, 664184351, 805419923, 751340394, 62069747, 758286542, 730246872, 906203516, 508164479, 765870145, 70502781, 274827771, 363567606, 70215510, 618167576, 425538454, 59583679, 1066009002, 429643441, 570414362, 764914828, 516338379, 745183209, 949201220, 36131314, 187156442, 1019245375, 679515221, 993222991, 335456565, 291246350, 158979156, 338905592, 506890631, 558596455, 284466758, 110045091, 304250021, 665332095, 222870801, 770809879, 456919326, 1025457126, 122161956, 245222593, 349301746, 84612993, 811139032, 1020834630, 384238037, 266712100, 48659193, 425386432, 474725636, 137871163, 402075921, 18129263, 3318543, 1017584238, 908285660, 614868097, 483916165, 479782221, 98035505, 291059140, 221500927, 548044003, 400821235, 195151032, 785333249, 937365789, 537758616, 630484815, 191071228, 85768425, 936438883, 47698496, 1031033632, 875835930, 388707790, 666533082, 338113183, 216896058, 418891039, 246487847, 158282859, 615581335, 571686399, 549962455, 481695098, 812409782, 851152909, 236443436, 418166683, 694428189, 504004399, 796209017, 152106460, 420260056, 788596065, 135972825, 1002302811, 686760077, 907166519, 906720797, 1050332364, 964754457, 342333864, 411735095, 644814708, 945494068, 1034651214, 272188365, 800522606, 1040310559, 867544289, 230516226, 801604076, 899034576, 479799461, 629179396, 184570529, 1022152232, 330049943, 982512610, 849724585, 965968451, 743591515, 916177829, 1033935150, 632885733, 166319924, 989745032, 359798127, 831541181, 871983730, 202100674, 953448303, 667076303, 909576761, 532785099, 682736728, 636124049, 933056562, 366102947, 519638196, 461079527, 512470350, 1054293849, 556172744, 394642593, 1062922435, 113960909, 21343680, 1041541655, 122188340, 357060018, 748322372, 844864076, 215941033, 351005414, 858081217, 403907521, 597629066, 605936392, 75260465, 835224324, 411344959, 929541025, 835667244, 977898611, 503224088, 89483882, 741064945, 55612765, 165033958, 878851305, 102602176, 811755330, 949883304, 913532187, 694125705, 583464955, 898690373, 1036164778, 1020211273, 314132641, 708336404, 236967345, 130844120, 255390582, 490373964, 702710621, 342364256, 478020613, 593099612, 514857956, 48688159, 865023931, 270549975, 792285529, 27708792, 754424217, 17271314, 753273559, 1018691204, 61537406, 951823678, 717902538, 373810132, 471575213, 137286313, 407100445, 118036842, 943397917, 541987657, 344577764, 224347146, 701090549, 195448326, 1029505248, 24953307, 188716394, 575595696, 776003995, 787387246, 399207012, 124637361, 116906166, 142780584, 465828435, 709385297, 287617627, 269920079, 862791153, 412100056, 215670521, 860663360, 520365655, 181425923, 746259458, 910363543, 213068242, 812056846, 405459479, 629925535, 275091707, 42991553, 922109325, 476620556, 279824101, 1035178262, 62385468, 313717098, 1042125831, 443545086, 245222445, 262300963, 982536958, 337862829, 496925561, 889859022, 176608305, 979647889, 369481904, 95258423, 127867808, 205220699, 1069185020, 314755967, 764988432, 53373366, 1071405657, 737875692, 801163496, 93259227, 488831059, 1053992216, 940842931, 729641625, 697574713, 527647852, 372615220, 969298140, 228221222, 275598476, 930753139, 951383172, 44455222, 510106814, 979454505, 494223576, 775047649, 743730959, 191685602, 212614795, 147480161, 525384507, 225530933, 651877378, 460647111, 823492620, 369685301, 940951887, 412385337, 652111054, 1009813605, 99945785, 749911237, 99283869, 744098639, 1070939998, 48749271, 630205457, 545193651, 973741694, 275510230, 55126041, 398864861, 648033539, 954132500, 548793269, 420867952, 457431946, 503209471, 709081573, 111744938, 918636028, 1054397689, 888741624, 729391615, 613628976, 624878651, 875749051, 222972789, 996711690, 93628560, 88458582, 335842142, 787592516, 784889066, 292932742, 261927785, 186243216, 534724305, 512334267, 562858340, 946301526, 940846703, 241103891, 650518312, 877961135, 224625219, 612875448, 174125413, 526362888, 697727657, 55643541, 844489642, 721899724, 609523888, 839770505, 791215540, 896840614, 362773923, 538778989, 769422496, 895789700, 398949249, 555091305, 90521730, 915940879, 1011547858, 524655009, 685282192, 937398782, 258432180, 334017669, 746390830, 90243940, 124831425, 1050252999, 379132453, 335862110, 435337167, 778466534, 252663207, 666471464, 152523638, 6670242, 425652688, 570262433, 8146781, 619326965, 140152460, 754430157, 86976110, 508030379, 844057200, 251698114, 1009061806, 21613647, 318683701, 288054336, 326710324, 845306869, 54178989, 529787416, 69824236, 54006892, 835794365, 401949503, 448382308, 243736724, 180458829, 931814272, 200316922, 418663891, 4921559, 459983124, 316842120, 830081666, 2809082, 560408336, 89950160, 402852114, 969260030, 472804798, 45662505, 820035937, 1071260070, 947202150, 601064457, 42058721, 80803528, 77234894, 794953445, 611380329, 779797278, 775262354, 889084964, 1031566670, 221301994, 541111224, 29623988, 931839719, 764793215, 97577868, 64403584, 806655111, 425965932, 217386256, 773869192, 926274297, 298765359, 393204202, 351493125, 590435004, 185415734, 367876180, 717429818, 147185038, 412579956, 529425284, 334079431, 752622643, 961644366, 715220556, 205890607, 24217156, 301222625, 173692770, 928647492, 206885801, 994239782, 941674688, 884764419, 1050544033, 203880859, 601690474, 749726346, 723691262, 91147467, 298584217, 310745858, 604121773, 816882638, 335616336, 960349662, 1029856493, 7149553, 355312369, 668912799, 765494790, 367083749, 721468466, 838283450, 921631861, 930556475, 611943158, 162611763, 232595226, 630161585, 225918632, 848754936, 895658072, 662022992, 598209747, 580073670, 49832937, 846564752, 1031681233, 617585973, 712548091, 603209236, 382350990, 593291965, 722590384, 403384666, 217687753, 346733375, 732635850, 894501834, 1060333193, 788871496, 920762999, 287119355, 403073131, 637311592, 237493146, 251999378, 542277195, 154603060, 376488791, 631717352, 971136309, 1046854821, 508994565, 866293414, 677256523, 673822438, 118746288, 168825536, 519346924, 22139147, 985039791, 689657964, 500544, 563125581, 444022501, 370277241, 700268591, 227871852, 444276513, 65078336, 552715939, 463724433, 19158046, 910679555, 896897695, 709523947, 681327921, 340092272, 600925512, 799725288, 183871220, 1024134760, 502384905, 782343591, 121640838, 860018778, 629878042, 165055622, 715542602, 268326140, 547189225, 663326476, 208414531, 145744911, 459005442, 384467299, 45216927, 753149539, 815987334, 815599833, 417994243, 1059989008, 795509722, 961149961, 702700843, 409075219, 325128205, 667105875, 791238668, 743392754, 887585196, 1066860110, 134036021, 104730747, 618867300, 112967331, 924016452, 496765691, 618926027, 376869416, 427802081, 552209866, 872457311, 351513173, 229437384, 352869070, 540525555, 676551301, 898444059, 392413327, 1039049944, 73240456, 80275808, 698203171, 440380873, 867708542, 708358969, 291402221, 818940657, 866513897, 36054895, 448792739, 99898521, 728230332, 406028092, 715127315, 154409013, 568354419, 105492068, 315101593, 48618893, 66660174, 109814873, 120632449, 483064074, 72418892, 752318051, 1044290299, 233621069, 716358084, 664073408, 894395865, 877038964, 49401484, 747611122, 71794762, 631875037, 679296157, 794157763, 701424995, 531898568, 25724011, 516485940, 997823569, 731059419, 93298065, 1044009855, 702242726, 654883923, 40592560, 361625316, 22149019, 552159230, 984085801, 737544573, 815755115, 409676437, 1041531879, 729602840, 379366346, 637048492, 683524103, 212783525, 719805111, 987524633, 191304515, 1012214211, 454654583, 23984277, 310444447, 550340364, 223390665, 831245485, 671324887, 629755633, 1008259796, 392883545, 706076994, 59790764, 638779010, 294544208, 207551520, 413644743, 256890885, 158079106, 944431651, 209234033, 912957118, 1054436722, 20307437, 624203831, 682253767, 401751784, 276652474, 414153708, 944039493, 791893889, 180364104, 1006984878, 587674067, 45093843, 685165983, 758458652, 845751721, 637595923, 674142712, 416555883, 540294271, 398654044, 726606929, 884013143, 771547257, 15325466, 1060405174, 240779198, 211862423, 58624953, 705725631, 418770027, 197090724, 831417721, 812864067, 666190101, 175789770, 685227348, 675026234, 498199979, 283924900, 335947261, 210815888, 261705302, 399372851, 363891081, 774714256, 360957661, 1003498284, 758721696, 296912902, 33005779, 422297634, 676016553, 1046019312, 1053145868, 410276058, 71366403, 277322136, 939406258, 459382608, 434606417, 678888295, 732917600, 915876733, 837258080, 789188790, 501768145, 537024873, 51599402, 216570100, 1051405853, 442426254, 533279151, 803865002, 850722658, 914705838, 447447853, 898876582, 98631126, 524704749, 431530545, 114089552, 88500144, 74149340, 65493104, 1002939049, 884215403, 406852524, 617578454, 704911730, 136326171, 687990064, 1030362506, 866206453, 795828021, 831974954, 841498214, 514987782, 582854643, 86951144, 322591775, 799444618, 492270363, 775876037, 841471917, 201569929, 154058421, 102465832, 999937556, 450994075, 162602724, 277504083, 344886114, 1018071297, 343384624, 809806949, 979251748, 153605766, 969291694, 823272957, 857731295, 276408591, 774211964, 338824135, 1058076858, 85095244, 812012595, 981478076, 589710297, 287681653, 267939488, 897406402, 352789879, 947270980, 1007244786, 29319314, 729986734, 305623852, 250587759, 858046296, 526483967, 607647989, 344214925, 56153353, 70529664, 832008928, 852228564, 734522036, 970841587, 277762399, 983306966, 948142183, 966814028, 60735475, 815698558, 891976378, 869327859, 406487554, 1046946071, 599834421, 649951947, 201188987, 529823290, 392246979, 763530202, 142283470, 27271990, 980053056, 906253289, 361084084, 696618997, 844616350, 981530919, 853888320, 340802848, 102722589, 1044496580, 11221602, 1031476536, 1001098400, 331877084, 88467500, 343417356, 188339633, 586719864, 476017212, 1029150820, 852653723, 387316994, 875000938, 962785529, 425979798, 2432503, 403200301, 1013658934, 573016435, 428113378, 87135129, 410460169, 64443257, 756122805, 558133836, 1048036375, 513966722, 716658126, 154213984, 866445617, 881896359, 601484225, 220870346, 190211357, 85606016, 589346148, 313889251, 4517309, 700486862, 592535170, 698994131, 705610325, 477215418, 331470243, 602214721, 428137080, 543398410, 130539706, 227995824, 1024654476, 958370547, 730657236, 291606870, 226574697, 961616902, 277251909, 1013474306, 528906945, 490091916, 925591502, 677061246, 26909074, 833356138, 665588231, 513578613, 1046046366, 214231815, 600477322, 898646113, 1000807300, 935911396, 3812673, 448103375, 979146195, 705109269, 712313903, 513710183, 445622819, 519139772, 816314717, 35644086, 1070729990, 431607522, 496067702, 532390701, 212145, 837763672, 761738951, 595885961, 928193036, 582114502, 116877094, 663434492, 816552690, 926402435, 180341867, 846169414, 84527519, 217831775, 668440768, 67618476, 410550481, 601701797, 935558474, 779699829, 136611165, 980965182, 1063067207, 1058074079, 508343536, 933831326, 287927264, 74567400, 627768628, 1009323388, 468200967, 1071467542, 651055464, 624338261, 40981907, 695966729, 392197815, 136013503, 304892705, 902931477, 164216794, 633770572, 658676016, 269730486, 89885513, 932835318, 665842172, 424195511, 605001211, 141253816, 594194117, 742454606, 994983918, 96492790, 1008041060, 934260643, 372260076, 930401962, 754108151, 279602511, 347991357, 406706208, 281023407, 741869045, 42976285, 905860295, 605185838, 633833662, 184599155, 494378478, 582432928, 414036465, 705708095, 656810734, 56032623, 664222805, 697613316, 720197598, 700006419, 10603681, 918224984, 585190283, 355777622, 602265865, 778765133, 883496518, 31765825, 45893710, 757659684, 201208817, 110435222, 196984312, 869849218, 63740248, 103395795, 1024257815, 832376564, 6171872, 352423675, 741842557, 414912266, 802695551, 101248173, 552737380, 702644746, 737549395, 705925172, 45814293, 974938629, 609944037, 251455384, 61031496, 590266579, 784802966, 594700565, 1007751943, 75968944, 894417722, 130798746, 526816803, 975388998, 1040161499, 362372030, 539122111, 893891414, 680094247, 739145815, 238045222, 1050433649, 852189543, 603337503, 514236679, 541870947, 143009783, 651264359, 827171020, 329469211, 583954316, 6443274, 127413327, 557676956, 897781261, 548856478, 1007239950, 796559852, 1051578359, 425071214, 285693701, 899382975, 661098178, 896686603, 627656388, 484588631, 848918451, 116193943, 129416903, 132187477, 690274988, 821965099, 618726026, 115956795, 498060889, 928750083, 727279876, 559425749, 721201525, 381917562, 853475740, 992906917, 1029388609, 339619838, 95453587, 614634017, 76960811, 675387102, 58143550, 71693325, 347985634, 220967185, 45827549, 128274753, 901888279, 206105106, 511004555, 64231897, 659762658, 391878186, 698374236, 934389505, 781000219, 753329015, 49896402, 739273817, 179942412, 38148056, 431788440, 135408503, 1065899473, 457260359, 313473990, 114386692, 758427972, 70747666, 1006887264, 235421731, 304679786, 425196758, 208092196, 255123392, 704689461, 1015384951, 1000857669, 668754819, 255687254, 414236372, 713989588, 218563137, 702991045, 88035428, 684637799, 320838325, 197071561, 618530955, 661259711, 440607501, 565712084, 729003692, 1003525404, 867637072, 587175731, 387662831, 952382745, 414749533, 255454119, 650679095, 937575382, 641866288, 133485736, 1034440954, 781883453, 230952643, 5479886, 249737775, 652479515, 597481071, 1047161723, 979325423, 591136821, 500150908, 902988861, 620273830, 228606105, 31846645, 985394966, 44167577, 702336132, 977503498, 70434626, 178576804, 741303120, 143850574, 738047638, 985121560, 208968405, 711977915, 159412912, 831111503, 935491921, 861473346, 359563084, 651200745, 975930169, 801599807, 409658083, 411183816, 767546764, 995537339, 268347321, 474114998, 369198725, 395688142, 307611373, 535821821, 919857642, 690549974, 269885682, 786913971, 63986993, 472698466, 1016484122, 213901415, 660050457, 310203384, 797819680, 912527707, 495395545, 554254867, 538344460, 276776890, 423144781, 1070403688, 871340786, 348048336, 543872452, 858577211, 33465596, 837396032, 465479345, 778683581, 365847889, 802800896, 726234185, 838234696, 255152193, 595328148, 406103663, 894561042, 367544944, 469731455, 51077998, 425131634, 389019416, 880003619, 520812617, 455492360, 96411772, 556829726, 858063157, 165902401, 305635404, 435380417, 234013697, 524714784, 263953417, 781584854, 1022419240, 635055573, 956720674, 600224599, 826437734, 254930709, 12131684, 77175900, 437423205, 256667866, 180667146, 407557561, 465530517, 122940274, 449415571, 180602299, 588220274, 600029890, 720083291, 203805124, 524285262, 874024586, 1065702537, 30328823, 487889861, 631480023, 79248758, 617669004, 568891242, 378732519, 109666831, 156979551, 350876094, 495106478, 176027752, 1012431778, 76412698, 273250755, 267447488, 644072919, 799736090, 171636410, 828835668, 671789913, 843667935, 486013397, 704144486, 186322309, 334318911, 897154138, 598542915, 862493748, 2479234, 113728784, 586111077, 332845127, 1054606830, 167033999, 307196469, 179288960, 834400113, 416487336, 347645886, 324920791, 451625894, 871836623, 589178065, 407479874, 927995563, 124581568, 193942171, 875770666, 907994339, 865078107, 737917824, 483552550, 557350401, 45693766, 297038774, 241049331, 774075998, 700216499, 705519484, 830521492, 91719189, 421611821, 347235167, 466103288, 63015918, 732366427, 21510606, 529777840, 321926836, 902075467, 931842355, 319814417, 509250566, 219733174, 407548055, 533147374, 397201022, 525356692, 928777618, 239424069, 161569938, 149152692, 778711138, 28347321, 822746323, 107830327, 806644727, 188765454, 987324808, 782844394, 395260195, 822699623, 15068945, 180423953, 881348132, 593092179, 1029403237, 919331559, 840435622, 645785149, 62133028, 307515389, 736581364, 672580027, 54698675, 427073840, 411777345, 104413266, 734798926, 1019896080, 20285001, 737403545, 818137099, 1010123961, 558509771, 232192155, 313337823, 349125961, 928960907, 247778855, 922473882, 423981449, 119394121, 916915739, 531796844, 56613645, 311227717, 568715344, 344729748, 580931240, 1000473795, 458493598, 402150423, 55374517, 422575934, 6414569, 294397228, 772430388, 514117141, 901261743, 306532554, 206325384, 484037178, 524163047, 562451457, 348225, 601156908, 445117768, 907908875, 761207786, 116879779, 182712289, 31256829, 845168598, 746477786, 404973582, 132935778, 300772673, 793413694, 876954387, 12261933, 463141103, 980398391, 172716754, 330369599, 727255319, 1065644669, 215537415, 355597757, 807893469, 457549953, 763232578, 940127022, 1010671563, 967520142, 19246831, 366853858, 587821680, 358908516, 157559280, 483320798, 209947659, 573532937, 281804757, 670868859, 215937468, 946684340, 402721077, 683076474, 770625598, 653812680, 246818810, 444098770, 483004234, 579113821, 939445482, 921974394, 423523570, 978212942, 95406151, 405809052, 717723156, 1063871832, 635439157, 909651419, 963252383, 840179353, 144959420, 253986246, 203771755, 140799798, 295605375, 961593920, 1023097744, 441002886, 726471905, 897208529, 1017739067, 1065165617, 96094112, 947697507, 276690172, 231252802, 677875633, 990937299, 1016438535, 499836814, 435160748, 384113375, 801307011, 188152045, 936740739, 279171918, 315465530, 627550572, 202730550, 528979943, 655350012, 288290375, 790768482, 605757020, 444500066, 510007782, 212613694, 619683985, 526723731, 395529332, 500837683, 278584114, 1025224109, 764113590, 833776109, 1021368624, 497022133, 652045249, 1048900741, 672401554, 395911954, 82429375, 339638251, 727891261, 843759913, 1051975566, 413225298, 327316372, 528572894, 308968924, 108488460, 388421835, 690896548, 51187174, 157584079, 84079747, 878360388, 275437687, 19102489, 777458521, 145914112, 176995828, 481457045, 368804851, 36561691, 431349430, 437319409, 513104148, 1050226303, 913961831, 958123464, 392213347, 995517403, 729795526, 479788431, 682486631, 467275113, 285643336, 454105056, 899801322, 709502461, 928436988, 646400425, 739765204, 514803580, 339607567, 640565392, 1045913036, 86671244, 146613, 841164674, 902764851, 10617451, 889192415, 433958913, 463166939, 1068124864, 68364409, 217242558, 647052447, 122058010, 467182792, 978058104, 700730706, 363690995, 858978388, 237081225, 75437552, 354296833, 973432951, 2689460, 868239293, 775627066, 312123598, 695659254, 519336518, 118513920, 812903817, 452835558, 486435113, 55748256, 855133708, 481066729, 1037370426, 76793672, 37077828, 467461294, 286625659, 366403479, 141428925, 670270027, 421929190, 659100187, 661293134, 532380661, 767359074, 1049080362, 307603415, 409315646, 824159571, 94246197, 189089175, 888425546, 573197981, 873916745, 518073529, 660410697, 10231816, 748507195, 644320781, 1070049598, 381778861, 283472941, 25397206, 420345078, 939200162, 106780877, 378508600, 129166187, 382612500, 166283914, 443006000, 488597451, 393203634, 846217896, 1038838833, 605016003, 50846089, 34232891, 722238755, 193319547, 396812321, 520063140, 410629888, 948980500, 108789802, 484182189, 684971622, 366000154, 256082153, 80997071, 401123233, 678060782, 772708521, 89762795, 306862072, 19789155, 980103129, 36964442, 585385816, 14001322, 1020147436, 465262949, 955416508, 686158951, 442140757, 322729400, 370099314, 231128526, 721797104, 573845660, 796983518, 149703477, 821767811, 269253704, 938277859, 399121574, 691397861, 219232927, 926106466, 331677757, 122799832, 673606022, 932334758, 1055603369, 879979226, 100762895, 828680370, 838391273, 63539447, 132909704, 964710370, 778528801, 449541788, 890277556, 887701057, 528410291, 402094272, 465213254, 314770419, 136735409, 807483969, 713250098, 337577725, 209781617, 237264341, 973831504, 773386875, 436526634, 20191233, 916963967, 381769631, 206154711, 152329057, 262988688, 428808415, 188965214, 360688827, 543078275, 938394642, 545568246, 794282419, 731240263, 175740917, 101229704, 332239453, 455260109, 773310433, 614694098, 770201326, 618184994, 1065888329, 1042436088, 559791928, 48738818, 58843517, 466353866, 159306437, 292050288, 646866833, 755254529, 920212929, 328615423, 664477313, 974516651, 26355854, 134040324, 517664017, 75141715, 607333011, 620948600, 856854843, 931322490, 359625895, 170296895, 119595055, 331706481, 532916780, 773141069, 662113398, 785647235, 14470218, 762112416, 876174752, 631696960, 546502179, 140967993, 32280543, 521264668, 908822017, 982771504, 820834312, 1064871402, 661504824, 706683835, 55198765, 986598356, 345189855, 405339327, 416844859, 470453195, 652346500, 428386838, 547048539, 561797188, 286784585, 355830499, 441687434, 424085038, 448286387, 562987857, 569616342, 930436133, 170157402, 643295277, 582793868, 766657182, 585498663, 442638384, 131115549, 840916175, 615989758, 740911525, 966955034, 281018378, 917732238, 541306256, 568901418, 569459554, 795217761, 1013241005, 1002381078, 639912900, 704973888, 597217928, 312245855, 642718095, 240723446, 819094912, 400280275, 356193699, 1003322223, 275694512, 868361775, 273273464, 684097389, 209600591, 799972573, 1044645611, 1069337936, 12489498, 225987705, 833935678, 268235595, 1024454411, 522295488, 679045952, 666088921, 505165963, 734264797, 512134326, 442092234, 65763600, 631877235, 551827501, 421277539, 342490977, 757705868, 250888115, 843419911, 717058848, 564666190, 200617569, 383539250, 503509972, 975570209, 56299855, 532010579, 402054647, 482652068, 634549452, 823238214, 869593888, 716824800, 471988156, 740917854, 114869999, 366233864, 611627319, 574884355, 629438796, 218759634, 254765965, 558454736, 577798008, 650746392, 154933299, 1045196796, 567520564, 117438724, 1130319, 533771546, 681664584, 489777875, 153707426, 320226157, 253305460, 94280867, 351039143, 789019752, 80994147, 251550047, 352242473, 668272328, 334963886, 951731889, 376616733, 450184717, 899215158, 296688591, 902515648, 288818531, 418749530, 806095775, 892058236, 827661826, 506570385, 527062866, 109090930, 884287032, 481841499, 209926663, 813920302, 76310481, 762156465, 883990692, 1013732176, 894238140, 717815891, 412097465, 720599316, 227793165, 841623821, 661869043, 126805537, 859772411, 709684224, 413082222, 679587846, 419821446, 307221392, 862841931, 208439335, 859952081, 142230728, 902109586, 1029835849, 480636680, 993020687, 27260110, 1050494122, 401046025, 489833107, 756617954, 276191, 121194391, 919770578, 209325169, 604238578, 616678373, 441765575, 36451075, 842597508, 703972139, 495174459, 981735127, 1035542684, 784432412, 598605810, 230584301, 659607757, 678386812, 959465399, 803726875, 211306144, 202577965, 679691424, 507019665, 347967657, 445607431, 450825790, 887151667, 727736032, 979085652, 451520552, 451288060, 993558555, 222242051, 539168553, 301016504, 3640187, 907372119, 752504541, 1026566763, 237641606, 749463550, 341920373, 219657879, 1065493502, 883147415, 426560032, 100249558, 311262351, 208466585, 942429890, 910417717, 38520008, 396247097, 380036772, 373743943, 897807300, 86308960, 915002031, 923513452, 749135908, 279617634, 253120698, 722389144, 1012380996, 333952377, 489335124, 1064821815, 68681436, 666438457, 503357436, 550803715, 167004026, 422240549, 681981021, 848393470, 637896167, 796620404, 151711375, 917133480, 912033456, 185791537, 324135509, 987168711, 863037991, 560003614, 1014821241, 196397711, 970170533, 397570257, 281241399, 1007373648, 948286454, 401890460, 105044071, 445653237, 904339952, 398108144, 267599965, 774679745, 181544546, 93989792, 833658858, 1035035860, 192209276, 344444200, 907257405, 438134515, 603477090, 377246284, 239340011, 317664609, 834857348, 503813974, 317550273, 809751696, 920293269, 38229401, 128796716, 534012098, 741487654, 981067539, 417586985, 853127885, 232415664, 76365218, 179792391, 547527041, 817942164, 424498959, 561045701, 777945559, 782346846, 305303416, 410350681, 295631857, 582682093, 717258723, 273726317, 747572210, 853481052, 563657217, 770233232, 500780386, 459708339, 333209030, 298806577, 535754009, 744752664, 1046624246, 421504558, 1033578710, 998484682, 926951986, 898776217, 953091176, 12098014, 952596319, 477460693, 1044286522, 699102998, 580655744, 696783151, 632543477, 821955046, 221968079, 321666112, 228922208, 881768065, 736453388, 643791048, 773078195, 905819669, 1045657955, 438770718, 581263846, 693794503, 175603335, 656000818, 383777462, 333923146, 730049674, 62235933, 970391886, 481725303, 292703091, 73425029, 94417272, 899531485, 871036416, 1055058656, 405966699, 500223764, 272433640, 501520066, 493175829, 123677659, 904364354, 133142159, 114144291, 314898851, 180357890, 969354948, 337867857, 831299979, 493664677, 558581189, 988365670, 1029186158, 943996906, 245417613, 873669975, 90830411, 828098061, 623960210, 799836039, 96219823, 730154719, 834343218, 570352164, 317394659, 129025631, 302031670, 834838141, 272479647, 278872844, 93540890, 237216213, 520010019, 24973430, 145383015, 801089756, 13468769, 914131663, 591305822, 405088407, 227454345, 487591632, 995613016, 709385391, 184056935, 478852332, 419295160, 184812187, 672348851, 814832015, 1037546105, 370500267, 544355398, 689614227, 804637483, 607940889, 481741515, 29652308, 1058683731, 982082764, 598039274, 802589045, 961220514, 409135661, 371712088, 147144203, 16976934, 409654289, 641259604, 808697184, 946467355, 393020757, 741019068, 1066592989, 1054439388, 750571523, 96343363, 892869287, 823644590, 143927236, 129930530, 892634553, 389986956, 784603370, 177273313, 394541036, 839844817, 486597564, 792110379, 256649152, 442494836, 467081331, 784323838, 283919478, 203900712, 281795002, 65508837, 221472569, 937386920, 1019649812, 173923291, 538865714, 561473376, 852846557, 654007979, 333242296, 926630041, 726668606, 869333033, 66162954, 395386608, 267699435, 323049636, 606864564, 671998643, 716789137, 577078520, 870362514, 222862997, 427188594, 81898304, 792367022, 294317409, 973570721, 870221889, 143158923, 911223360, 187481765, 810106120, 1073165935, 192662364, 913570647, 305515375, 876056401, 808607901, 151832666, 293727201, 351995048, 1051066162, 116287827, 453856750, 684143511, 847027584, 882129285, 138420574, 204069727, 969173511, 120145256, 810558402, 222947825, 426246007, 775334134, 566519948, 727447743, 540984315, 17684744, 217452517, 214313836, 53748145, 889849226, 241803917, 332229743, 399646777, 128229619, 493059256, 1051508030, 81541257, 623302883, 778595220, 953424616, 427397140, 994901648, 596105867, 138991542, 364021731, 249944026, 284350541, 346467288, 56969992, 58431815, 1060562025, 1020730776, 878930430, 424876568, 119810993, 477362543, 979235726, 641965854, 790469693, 887519612, 585378387, 521131400, 243997969, 1062679460, 911030366, 1027105924, 249883229, 906576737, 735368124, 556035904, 75787624, 429528132, 638185304, 167004268, 447730624, 556366549, 476223499, 355300381, 837304764, 230140265, 552785706, 943586091, 562354147, 524204210, 367460762, 119023344, 595373782, 170688228, 988232074, 439375686, 1033132264, 874075820, 109926971, 228490311, 941285823, 852640087, 129752681, 233426653, 731255473, 102815855, 899389662, 1035457128, 370552302, 524496, 351377375, 161232263, 301639386, 646750309, 802894885, 4920147, 542446991, 633714961, 754398085, 467045340, 1051210270, 930424111, 287378576, 58167424, 1043546045, 216143801, 396153012, 1012395907, 863076680, 659179763, 155226490, 525323154, 1004029361, 617315639, 196935768, 877093619, 288844934, 455980455, 187361135, 824651473, 125732392, 295727321, 364276634, 273093859, 703094292, 151535138, 858047853, 851293284, 641038641, 688280392, 987504701, 963905821, 791102563, 147512746, 87549254, 701160399, 488356065, 458740419, 265829328, 371803853, 15373046, 953904727, 879004335, 812691340, 110297835, 369843295, 427958656, 705810944, 70904711, 930113556, 70824976, 1009774365, 633157045, 107693576, 613557741, 535674465, 170396249, 594527240, 722269916, 251868692, 573460161, 490640644, 348102536, 773629196, 485048281, 840619047, 996266278, 202231778, 1013215004, 791117779, 909181031, 103660911, 257564271, 937036260, 684394771, 798212030, 523028612, 753324913, 958550791, 39104974, 753377093, 1016492944, 737056269, 852390270, 846606143, 823825665, 880844766, 13395160, 349459054, 507988121, 621488595, 313621574, 664842994, 751856904, 237270502, 308471800, 347975426, 538560096, 1060253284, 754660851, 972124514, 904446501, 304995955, 1053642766, 843924427, 711343525, 939787010, 562384675, 9756298, 534371170, 673962904, 174506596, 58231005, 418262518, 684717956, 805580109, 264648842, 60690041, 183655093, 463659112, 78654928, 74585670, 314087296, 58234715, 570021311, 549015199, 418994839, 197333887, 50588925, 602141127, 114610044, 689293827, 4922283, 898357355, 566480540, 850880458, 509737065, 689091210, 342378598, 1015580706, 463547284, 448394528, 802860937, 283774842, 828312131, 972969053, 741099940, 342113619, 254105510, 338970248, 426158542, 411031654, 650067574, 992484540, 423591128, 114398187, 1071776648, 466634217, 699849526, 534129459, 1049486511, 858733335, 369280838, 984917520, 774920735, 293658460, 863320303, 402092002, 309748179, 100333164, 182621386, 656901118, 914597079, 872438392, 742956417, 822943580, 582577069, 28477401, 570385249, 412400602, 525613072, 244513910, 313056188, 485713075, 138203275, 972962101, 862107382, 910444456, 451329544, 328733314, 743700915, 954548166, 448941305, 279432730, 1058367739, 165825236, 842689382, 86562736, 82691180, 784732112, 935981742, 881439792, 708930875, 820667326, 583368464, 22619525, 71359800, 744387235, 747899649, 73808111, 499248760, 580420814, 767610997, 799024315, 1004782449, 807386857, 341630025, 36834688, 610069769, 874595337, 757276464, 805673161, 464675870, 856653613, 830703858, 963602066, 479187586, 514999894, 227994104, 589083143, 774798985, 406100488, 602729344, 978595827, 822363654, 398000615, 757147668, 544143093, 38558958, 267016659, 132788982, 64692427, 190230724, 203838819, 348091447, 672142361, 808675583, 272854253, 386474875, 404796056, 677600276, 90849797, 354264557, 177697286, 879781504, 439193341, 120541781, 729353327, 907575205, 869630377, 747372457, 650220177, 841920143, 275704550, 322588262, 691215711, 232155361, 858469120, 636005495, 433869160, 860162040, 582961442, 607101066, 907312437, 1067429910, 581934936, 36290938, 1061190418, 957336439, 82004807, 857691966, 297553106, 290179984, 304702750, 616809721, 322049185, 19647077, 1067385000, 545683284, 534289705, 312155442, 741950730, 404028321, 51845762, 208736603, 870821147, 132509215, 635404059, 363290921, 87091696, 689938526, 872666535, 848597187, 857992493, 1007676527, 1065533558, 624256716, 666465929, 500966119, 986166248, 922515548, 516714487, 830939741, 279182407, 370087163, 329970014, 102819177, 293269075, 208632275, 885296681, 644517531, 293081472, 397773811, 723963261, 104689352, 359606692, 925890375, 359362788, 227855729, 209046378, 95954404, 289131749, 427286979, 518079468, 117504865, 675954771, 879442039, 179408990, 746216854, 203427291, 233440191, 895380408, 545791860, 100857184, 69902501, 375682482, 489981666, 419919164, 716327212, 292779600, 137126439, 344736805, 744569753, 651280264, 313654669, 247083124, 184334463, 6138021, 871822954, 731016055, 1060447069, 377153348, 1004782171, 174054974, 516528100, 476669835, 81111256, 779670703, 946891876, 508746707, 371158673, 1718222, 641780898, 1020357001, 288674282, 345719788, 311408655, 985009701, 711411942, 384158162, 176494513, 598982584, 491725058, 744684732, 497364527, 17426886, 207798989, 962209644, 972864837, 684651865, 835736411, 1043309889, 970534045, 370608672, 976892930, 445621832, 960254751, 146766402, 193432728, 776852029, 810421996, 795728142, 527235896, 767542733, 392258245, 5250458, 855973437, 964900414, 915822320, 90293794, 979712709, 380831218, 1034068834, 841867922, 212620362, 101325265, 549852524, 560166487, 1036946365, 42582778, 968047464, 696916111, 363584501, 746211869, 700683227, 126125286, 117541451, 603401716, 1072581668, 97373878, 459019436, 384191583, 629704795, 613676441, 209200174, 89309159, 965188034, 84020813, 142855032, 392045275, 154489440, 488088844, 978129695, 552801760, 753024392, 176885430, 817196450, 601287183, 59614364, 764474424, 626921706, 68924063, 446635937, 324103189, 416458169, 1070220655, 186618237, 768784323, 788856517, 33259413, 433327816, 464408798, 1012827857, 470613202, 1003437261, 597959281, 322924160, 144760430, 238923239, 254561245, 851237373, 99373375, 288918131, 163036285, 32990251, 452897664, 130661582, 45436475, 609078909, 1020525824, 328001614, 976626078, 188987473, 418555219, 735455733, 304843066, 38265399, 948111856, 917130890, 494813144, 307570372, 951882524, 602093179, 470001921, 1047761578, 366049856, 715615814, 833989242, 590161889, 538370546, 796509728, 131017099, 147451521, 666026001, 656668019, 594690466, 786604557, 699323630, 834360350, 533958546, 149559831, 755513849, 396643449, 577564975, 595206408, 635288569, 281106102, 922020058, 625316395, 832017340, 434355269, 655783008, 1025537272, 580992720, 1070057096, 447171912, 464752711, 110223593, 509368599, 172718171, 1040539938, 1005772342, 1065929253, 834321725, 174271788, 839634166, 79430233, 143287515, 642813882, 418529860, 346638163, 618334454, 310274932, 83246364, 56890526, 98859601, 927238954, 451133845, 139249949, 80777114, 305852555, 814682299, 463280323, 564855193, 973685490, 249616127, 910760645, 837202535, 722757670, 93614657, 648485207, 656508911, 11492231, 428468597, 918465112, 431168793, 526167225, 672756085, 104184218, 803632041, 870749322, 863099310, 1067978284, 797712549, 466368540, 743121678, 569731927, 834573660, 670313271, 221522297, 792641362, 190682213, 281187849, 132389495, 683896630, 139278618, 1000336976, 104363914, 370204379, 978282108, 647969029, 280816382, 482325440, 905082281, 19957176, 735451362, 404259107, 929680963, 487001215, 934084149, 386844997, 82309000, 784237366, 437230813, 807107609, 1062917232, 507945317, 460221307, 677958110, 346794776, 111202900, 965839176, 87492123, 609435035, 893792893, 471236930, 450851801, 940153004, 676113690, 688681684, 154926026, 236895106, 448127871, 60775513, 52174411, 307594679, 941689898, 325387488, 351870908, 583704820, 742775077, 241779852, 19810108, 1007399226, 176922930, 982524850, 618452181, 305684597, 875792686, 478485761, 185297618, 815911244, 541356331, 714626996, 254989836, 828886615, 552344667, 699751714, 56127591, 683828228, 1004296398, 647123022, 847163094, 744801772, 326696002, 92041641, 846284800, 163672659, 330907378, 457740204, 91646765, 682757280, 658992, 724785586, 321513053, 627738790, 763986036, 618783851, 919417042, 639352048, 879397868, 505028513, 441211246, 94890895, 1052752309, 57229147, 1050546957, 778127152, 324988296, 54750624, 355618266, 214810170, 713824143, 10506870, 274288896, 300764948, 361659033, 1050458466, 807780428, 849980242, 104628666, 521685643, 295240928, 294574639, 89861634, 193478491, 263295431, 1005012138, 644563316, 707507439, 392311013, 947590208, 362401814, 996986905, 122945446, 353274145, 1036606994, 971817718, 402545927, 219021117, 903782245, 191688745, 639894674, 420364922, 447880761, 37759250, 177176200, 892468345, 633261570, 550076376, 418954877, 785516561, 1053567121, 124817832, 1288418, 867488410, 823381951, 349392398, 813816239, 799080517, 252194311, 998651212, 897680494, 1035174751, 920639102, 161786940, 904511137, 53904623, 990196010, 297575852, 50513418, 281191643, 429671355, 102682862, 754963242, 669492640, 898621348, 318398455, 734152764, 226728881, 855093261, 857663862, 388725272, 379279589, 770560582, 911185261, 373263689, 184598290, 927120793, 467931623, 100394463, 426072179, 424227156, 597181284, 1014041820, 106751561, 974449831, 257116155, 7106087, 250617445, 1057456057, 790999352, 805877968, 429071995, 86416848, 157623975, 617656197, 774221603, 912722778, 664657626, 620592586, 443806211, 224056549, 457159367, 694014073, 743431721, 933266083, 829430735, 811815183, 496891123, 49199707, 493011508, 751354931, 380311091, 485884741, 972862572, 77848356, 1028649638, 529019251, 863230585, 590109645, 813986911, 686494719, 824257122, 1024894593, 862686984, 353065043, 849457017, 458408700, 69686827, 308324145, 313127890, 9930397, 231425564, 1960063, 344798660, 563311310, 266882664, 919988526, 120962377, 378945856, 893201274, 800407517, 563836058, 247079015, 629863341, 117580052, 1000074189, 763700237, 419584386, 26694557, 978204316, 1003347247, 71283989, 869156046, 14186746, 820849084, 595362492, 564039833, 600611373, 657112916, 276041056, 586247930, 73307126, 71171101, 962090505, 702254318, 868251934, 117702860, 65388313, 924998989, 382335116, 138249514, 111102579, 449189079, 512827832, 938414957, 866549647, 473394955, 674886585, 36382540, 798846326, 43459880, 115945223, 254316484, 389174414, 783517655, 260036255, 872855927, 170126479, 8076026, 267389578, 389203971, 886896362, 51389332, 49486766, 853998788, 904372388, 1206228, 697736236, 54834552, 265901268, 451147959, 934519669, 969314573, 918195167, 756338904, 468102263, 1002518382, 349073344, 168936909, 128095276, 210180540, 976996101, 478194587, 996147613, 902348886, 647193394, 478145214, 690506828, 441808768, 165856544, 335408421, 43778587, 636768895, 1004807116, 293483704, 405930844, 163542877, 706276030, 878562894, 701640570, 921065749, 747731838, 455993055, 785614117, 29086105, 717959690, 972033870, 323112373, 28782508, 280047155, 387831474, 826364279, 776430923, 160517093, 759788102, 648872331, 606664732, 1020802065, 639398911, 54217418, 377454513, 313400587, 1066987936, 641014523, 939728407, 155253043, 674506558, 126572065, 782661790, 909783127, 280910393, 7757099, 127009608, 752547562, 895234626, 203503971, 554270860, 512645317, 237529970, 836162486, 955986131, 768135460, 203277199, 42141873, 329045400, 599105924, 288942434, 398038303, 440708071, 886502787, 198097438, 567091451, 1006092029, 308711127, 397036955, 432542502, 905524768, 44588163, 871999490, 94778116, 863259205, 550382252, 59688615, 718532648, 311244983, 965539005, 190260246, 270211844, 806260736, 154055826, 145037932, 560970581, 725172207, 662720007, 532426099, 720063875, 785991608, 21716372, 697643940, 218171159, 1067115757, 624787324, 545626120, 356026580, 904102165, 65287122, 756575152, 43200750, 798135343, 504359015, 775923976, 23207002, 26246488, 466343116, 407387738, 322614051, 939094786, 477917000, 191751229, 1070829322, 412350806, 378708667, 519559167, 264820739, 574191917, 906837171, 1016639710, 764956549, 225510878, 104650697, 519824501, 920180282, 491625400, 380883367, 269748113, 873903414, 897614745, 356978179, 691332587, 553899779, 741102175, 87655246, 452101763, 10257021, 414271692, 957564884, 713054421, 402402271, 224250640, 658839955, 1033907762, 955731484, 110887456, 475356717, 601543767, 781914791, 893912271, 863890851, 714204730, 90713293, 891861474, 589364133, 390856858, 17899751, 133416430, 149538118, 650306571, 561355865, 590523723, 762663021, 115767585, 16766780, 400071755, 193047402, 784691024, 455902242, 1027691715, 65458077, 54093575, 71087768, 322294619, 63217119, 797554434, 563906751, 530238150, 863583901, 583499038, 435010934, 305702438, 561130311, 811078018, 2639673, 952376362, 929120234, 632226850, 21260440, 505505374, 914364774, 166242078, 74103921, 97197039, 205073704, 972033504, 944518270, 72924985, 379361445, 218893877, 1028411882, 949720736, 421783522, 445219247, 537593854, 651172356, 48706480, 635945222, 217688728, 365231008, 30918515, 161165560, 851479175, 446084002, 655955847, 374526879, 827271170, 59801094, 346355333, 148667829, 1005950620, 619401544, 748875010, 988775761, 699148373, 986122604, 76860287, 822655523, 291863282, 160336525, 796942986, 398632911, 53997840, 396488184, 581681382, 45968096, 264394585, 946187552, 1060024360, 1036218498, 554605770, 323149934, 841322374, 648132165, 460597967, 1061529181, 220131522, 801584728, 659191355, 214981167, 478170648, 588127296, 289116647, 1024092841, 844136544, 884525697, 380968863, 980166066, 159994227, 260589684, 803144311, 978719455, 916000845, 515757197, 5462447, 751137587, 353265068, 183014001, 382617419, 513810568, 900910226, 857641892, 56550591, 187068379, 202240351, 292851702, 115120852, 819403877, 52397294, 885109249, 881335958, 628842623, 385961776, 635041491, 695318083, 445955757, 759332509, 928729382, 1029527165, 555683971, 47154578, 343817607, 46668373, 758190815, 555576267, 1064014539, 324949887, 542574163, 331660037, 1072467585, 136554439, 634548420, 240092751, 782452868, 566222949, 599654637, 333374449, 502455795, 784955515, 596721184, 965381308, 621401133, 896622634, 195497953, 629055419, 840176004, 211745341, 637411182, 288260171, 183487564, 248677241, 336572999, 278602988, 714113326, 264323635, 1065621918, 365521726, 795007877, 389565799, 332556577, 555825535, 323336825, 593048727, 422902379, 435090662, 332439104, 477115615, 293884798, 212616917, 861164508, 862046886, 928710996, 36071946, 133247642, 377665701, 609345243, 866455580, 155439534, 97106282, 676139147, 403559034, 444463549, 652911075, 659291857, 788474951, 744775652, 403663301, 945049771, 57876589, 241522102, 1020220799, 1071145704, 464936551, 673238562, 818585251, 826507377, 418662700, 60051568, 813315748, 398743019, 177008467, 992618487, 945097659, 900099277, 286445530, 710453373, 130479401, 125871958, 62951612, 271970237, 1021948591, 426775351, 358627189, 927141540, 93726114, 83433736, 189705453, 924920507, 935083179, 227618696, 8273546, 145067293, 833277861, 753806898, 173986515, 678944447, 920309541, 920602576, 425737042, 476941337, 853201597, 963040589, 367665416, 157547502, 272625710, 373182150, 917886748, 75446511, 138280745, 645272478, 622865216, 437891998, 372337984, 137670550, 493178948, 316426113, 313207188, 491445681, 392449764, 947038933, 550784144, 932005837, 76247929, 62346381, 411675428, 636997323, 519746009, 717531649, 251911039, 907223598, 906596650, 288955485, 561369424, 435507017, 656103824, 646994479, 861582420, 76945157, 756695712, 754200137, 254406318, 270916488, 974091308, 40815862, 474676413, 1025625482, 414155046, 236049104, 739394310, 292795720, 308821809, 284403316, 398897678, 172346083, 742496411, 522606732, 853863094, 253604924, 236760367, 596340639, 393701312, 854197225, 1033608795, 267308769, 775403037, 125873056, 202664252, 227947170, 376997041, 509678969, 668873282, 765537195, 774209147, 1020839065, 692483471, 306100754, 585455072, 398071340, 153142281, 379481004, 903780771, 394074939, 760490345, 511982006, 1073600756, 198329210, 459248584, 503385927, 526477686, 117423724, 72482153, 179663985, 832882881, 340988268, 129483745, 270975555, 773861781, 449158085, 738691000, 306789619, 626920877, 314674958, 137819835, 758869082, 571906519, 230542899, 841258525, 219573052, 284738592, 475167410, 816380247, 335848116, 850934808, 341986285, 837897654, 575829833, 532359011, 1008574270, 704332865, 817194605, 173337219, 980041758, 529475853, 1018422404, 1072686924, 910836516, 161008065, 216199677, 1048359064, 662679006, 715625068, 329795001, 233609233, 355627274, 359323526, 1047966841, 465234618, 295895789, 925903228, 541168683, 807226944, 114545727, 78585258, 304181815, 58273541, 321122923, 71390329, 391640097, 585840957, 398021914, 990639829, 932241781, 807463010, 4139179, 695278113, 48658307, 1030599304, 317806320, 18407113, 437869590, 118226130, 324781483, 975541505, 497190258, 204834000, 350271498, 945918289, 180307300, 391745778, 843862101, 894377640, 494679918, 380265865, 528496294, 767116449, 788132540, 244776937, 664411082, 743276623, 1009893387, 864979898, 129146381, 519723823, 623434809, 688517000, 13916210, 104290450, 745965441, 1069642153, 506700321, 816666065, 474112606, 155389067, 532410580, 18841584, 238284995, 185967018, 417517835, 421514588, 382506167, 658950270, 716478110, 760376293, 157838356, 462615398, 599819175, 721687270, 911967425, 338422059, 348745509, 351574707, 431245433, 42534499, 51462578, 906580663, 493885891, 946507528, 956186960, 4254989, 919455213, 265218400, 975211693, 172952566, 573662050, 50141413, 1067663092, 169301330, 3634564, 451618381, 942202078, 1028788637, 518640783, 617072878, 419671199, 683352691, 421857465, 130896279, 538340675, 218470509, 626250176, 260014076, 41366424, 252998454, 521130704, 1014993228, 129785707, 642520930, 730094787, 1035224508, 280237064, 818304173, 601845090, 971006528, 673922958, 42711303, 165451197, 183350564, 897127233, 558927214, 928085344, 67137345, 532394815, 327235609, 473368425, 967133573, 681531566, 366133614, 523039288, 867677179, 96775602, 97693804, 247963780, 115329990, 833618386, 458815442, 589928854, 708188845, 993452890, 629500246, 546909006, 875349604, 300964163, 999347944, 476760534, 399664873, 107548646, 266816242, 47739336, 296256168, 664458810, 882866841, 276192757, 799784880, 599273252, 497316933, 113331052, 158322002, 512874054, 353577069, 726932976, 426262805, 406006327, 833287886, 209930884, 437631266, 551863223, 589440845, 151510232, 794491667, 219060010, 740857061, 975625883, 448715882, 51798719, 119791796, 485708478, 571167372, 171825535, 619901613, 949292614, 920103054, 1052797989, 400842143, 845214611, 397510751, 148757546, 946768266, 826558105, 704527521, 979444587, 776656666, 646310684, 730347394, 543666771, 912650453, 981454378, 203241941, 489419886, 826712797, 738577470, 930244366, 510778682, 678322359, 704815531, 691401759, 524030009, 238604584, 504859511, 203599754, 13571204, 616540857, 103889292, 653527139, 473178215, 711828134, 296193530, 688080334, 419466583, 939532449, 681261032, 933894994, 437780511, 906725118, 679073877, 650244244, 59451925, 41462684, 78839222, 852114509, 75599968, 74761956, 326795301, 284658093, 807929329, 839995345, 817601079, 5653367, 680193783, 464036256, 813465378, 975593435, 478423211, 986169317, 179648483, 1057678656, 906760465, 683614478, 251036856, 1030597099, 903303157, 307197483, 882929398, 411076560, 427134148, 96399633, 820908405, 570432431, 754349886, 746409281, 186167515, 1055535092, 448083719, 421229294, 157091619, 810684310, 588392755, 708037288, 548416457, 901653627, 132330826, 161402481, 437026114, 720625740, 304572506, 988205690, 880744578, 692835451, 1012412241, 886896261, 658664491, 261885987, 400975103, 796496436, 702588866, 527820650, 431212540, 743389495, 289267336, 1068355511, 825491043, 620031009, 358017162, 1073665381, 643331268, 733684620, 315987095, 734594264, 450747190, 812941206, 299732381, 684075662, 905366534, 523520762, 725990661, 1031289705, 778399136, 182824187, 879644169, 50496119, 928042554, 346491014, 198475526, 868264380, 871463440, 350614528, 318063790, 284519402, 746367232, 417005450, 224879935, 573611409, 675178795, 310110299, 979306734, 659619709, 641448155, 38405462, 52155096, 900705058, 990362270, 871298113, 308861421, 567024646, 411585042, 67455566, 622165517, 851638627, 956781332, 348833167, 807147561, 207856287, 619401409, 452495341, 360372305, 1058356592, 559722430, 703951906, 771252037, 434071459, 579787423, 58528411, 220891553, 164765602, 371257246, 1008283243, 625847390, 1048598757, 822581709, 841354679, 859943348, 736086335, 359151584, 722403324, 1051886645, 447060046, 978153009, 882901717, 398430466, 896261144, 764276283, 462116528, 845302794, 978546257, 1071514345, 60377650, 321402076, 439147717, 728093132, 959206630, 871742853, 711797320, 430883196, 974730274, 972924046, 282012519, 1051739308, 612623040, 217832338, 246244182, 783755777, 693408128, 1070343545, 413021098, 457061753, 877162370, 832796026, 330576506, 401366085, 1059151720, 182282696, 635274626, 775604191, 823544635, 25311868, 631778170, 483984143, 53735205, 282137903, 758025513, 782759731, 782941508, 557795273, 922524703, 796547699, 974121857, 608215724, 782493315, 389976314, 435850552, 286719976, 60656023, 208013262, 504942339, 723164971, 150322659, 620304563, 765839889, 558113147, 162549636, 383667900, 474779080, 362031752, 136736648, 1065382722, 1073444973, 225062091, 190616645, 789678125, 90498550, 1018306849, 242801114, 368315868, 208400038, 798494099, 435592169, 752208952, 579683606, 76787731, 986289813, 844661594, 295337145, 214046584, 733708384, 124550534, 804031615, 677690042, 997115746, 394909334, 21783052, 540281772, 25567972, 868449966, 790961105, 901793486, 669400665, 1054889766, 281367979, 136587120, 7874864, 788379290, 568945424, 638327713, 590226648, 799381917, 575230463, 312714058, 309927135, 288215631, 703908245, 793562014, 302961840, 974211308, 687462380, 376732619, 585839511, 568760235, 393565236, 478958223, 750092770, 754541239, 616301063, 577312607, 782241271, 815194679, 597783998, 72365080, 567719970, 487307512, 514502817, 249351632, 625612022, 73749473, 975313857, 658878678, 529346206, 306033924, 643025936, 333481414, 197369125, 22011113, 349459256, 57660717, 378052190, 1040370869, 853605535, 586616639, 731163954, 253666037, 14160686, 320475344, 681550428, 247127434, 725440685, 183907655, 270923447, 1055420305, 1052827110, 43613127, 490812347, 618264556, 801451325, 390582522, 639455997, 743356783, 633499559, 1013879996, 113651707, 115819556, 768807588, 471327805, 1014409349, 305233016, 137766213, 146555849, 162053735, 416485438, 474558094, 1044823676, 264130648, 842375988, 999017117, 39489737, 511922134, 3649385, 461056247, 923277517, 661455428, 157033844, 230466729, 156158955, 425247132, 219711018, 479533492, 374023196, 571837009, 950951558, 449868520, 322870057, 178424700, 625306609, 108783494, 117143100, 974666532, 832192514, 65374432, 60112295, 603573048, 115824016, 20156196, 781287981, 488910369, 476080808, 864781225, 370071415, 694758164, 914717196, 258292205, 109358914, 483409429, 615661591, 261886112, 657250807, 347726931, 484906050, 320213457, 84021455, 116079410, 1042487787, 655051426, 463977317, 513573605, 122475748, 652101890, 610080292, 389595591, 552291209, 404134382, 803237297, 317898842, 522664185, 831536590, 129550651, 512999550, 522991072, 980693265, 825367083, 313431919, 204573835, 589327986, 927777324, 515581050, 728119388, 68123729, 933454852, 224421041, 922610741, 454759209, 804213208, 220750098, 696623633, 276155084, 694104068, 816500895, 966408247, 505449544, 85917963, 22799147, 792218053, 467983303, 994542236, 864850394, 1003323913, 902395462, 236130672, 565396835, 934097359, 32393418, 936568002, 344896311, 91359569, 595967845, 370486730, 78188253, 147987147, 1028229507, 441064102, 269730642, 702601686, 26788364, 483217226, 531787095, 626603297, 886669770, 643031442, 742255841, 476400703, 452549674, 258707511, 271416354, 463689622, 353054085, 667404100, 365006560, 654778174, 351257102, 258109122, 70882041, 901930294, 722155815, 933670625, 686843235, 674094063, 365115881, 806238914, 672499071, 13663493, 837123084, 562749689, 1068070758, 749302128, 75323589, 713505766, 976781801, 313344848, 244029213, 754105446, 1022725307, 433187775, 660379614, 795843054, 298227040, 543073595, 597353749, 848508134, 1008708163, 838482812, 632467812, 183753278, 101283756, 82967346, 903448834, 692295786, 926217769, 424210447, 711410286, 414737181, 158317737, 181172444, 176800542, 205849741, 345939181, 337658432, 1053085253, 897481758, 977468893, 331887832, 434688196, 998732189, 523884582, 496715487, 641358857, 754649990, 409197083, 233235293, 124440047, 357741973, 837619525, 460874143, 987798079, 239336679, 724621402, 896666055, 361505068, 22314572, 891257756, 549040735, 871507864, 768223791, 784570324, 279039617, 515152713, 612003626, 266581095, 435011278, 569806877, 878635537, 372784748, 410630557, 797630014, 393605152, 498162851, 868720565, 679029216, 134430655, 685830951, 277927849, 157552290, 667334974, 129888975, 761014281, 741892608, 54546453, 3254546, 414577875, 591200636, 718402292, 613056115, 420332533, 977537044, 141348432, 48892391, 973301700, 818347959, 467227138, 840579595, 951711356, 624314369, 428850849, 641133107, 991356763, 196358141, 573787549, 56087394, 243984974, 910664487, 477308934, 565283652, 1071988565, 746029637, 1047802887, 793653540, 917092890, 142171010, 369831218, 741830776, 634109818, 290462745, 637872926, 1016297387, 120114320, 748881225, 224101619, 906791170, 599757294, 542784676, 454820298, 110519950, 737617243, 909829204, 427234540, 425156789, 328119332, 837288686, 279140631, 549704706, 384094759, 34056197, 586868316, 952885761, 513278491, 44993247, 776516941, 165658267, 641823886, 452216843, 226515993, 139915582, 962006140, 560039980, 851766778, 512025714, 218523995, 695341183, 438298551, 1031289243, 603384030, 274179030, 638249491, 540206384, 380097369, 835722249, 17936230, 895454838, 742877761, 900964865, 524063320, 498281052, 959835447, 224992232, 984934253, 201872018, 736745072, 933136739, 196750169, 79223445, 359416040, 57597532, 11903220, 408266733, 778394453, 866325413, 295346909, 258064144, 580214530, 1036842062, 1052890519, 575447990, 992214782, 434366872, 484059966, 713679418, 805609971, 272728712, 403678266, 386302930, 840057303, 1060239218, 658653641, 453190439, 325295280, 474465712, 740392491, 250735791, 47061599, 76821354, 812657303, 746870461, 35873686, 870527447, 365453767, 769013777, 779473361, 942056823, 391300069, 792564954, 1051817067, 514121505, 32291607, 757489359, 653233715, 803692801, 258931752, 186379459, 871048416, 351605926, 849665672, 258826600, 1066805620, 734821829, 90318106, 545074251, 291273666, 391264365, 741371207, 572817902, 614367458, 551249397, 148263705, 340409731, 639394080, 581753106, 514484110, 17922215, 1051238094, 539465249, 973056403, 735842913, 245197947, 504086986, 45382702, 696340396, 98050202, 569400726, 806426497, 350504002, 804609757, 1043661791, 91340185, 443916799, 535930638, 275404696, 916437825, 138092489, 547548612, 427527046, 44988555, 297025015, 885606522, 160438666, 252746722, 598453035, 548451393, 945206679, 1052534586, 768065675, 874941466, 788076724, 1033853968, 855560457, 65120924, 277816975, 99570779, 901101233, 856725340, 882960539, 706021007, 737289977, 291107919, 917121610, 623713196, 259890041, 478931880, 162612470, 200833352, 28011484, 933743645, 328328463, 1007878396, 560570059, 962960614, 651378432, 612541463, 132608557, 1029787355, 118895071, 641875514, 822039444, 284398111, 497702141, 1029224113, 1056334391, 78065091, 680631325, 973443288, 356898583, 653285924, 879100731, 37224475, 114939689, 1001899611, 730452441, 980035245, 1002574856, 794958670, 524718979, 162818917, 141481695, 637869212, 175010463, 105337906, 721403910, 875338659, 334697398, 433351033, 925429127, 659857164, 835320951, 99290826, 739312684, 657698899, 68901372, 94294774, 14346457, 573392812, 13957375, 720590568, 138978138, 739158491, 461659750, 191947431, 424872097, 889252634, 697251181, 139138613, 723654673, 67340707, 770837242, 591229663, 864094154, 664753559, 592179799, 832414881, 679278919, 192805592, 526506364, 346267826, 712300563, 376561327, 594964517, 304074737, 439121860, 414753247, 149874789, 656852797, 389296940, 463695027, 38893966, 650401895, 916356302, 717899223, 1021687315, 845608354, 810332025, 1040739997, 506978385, 591805748, 708702818, 628640851, 1012424342, 890144175, 614083902, 964539359, 1021424149, 45396364, 996561753, 639009881, 367618642, 445392454, 528383573, 885596489, 552600984, 678449632, 922165108, 857144115, 270560667, 461228783, 195238598, 459166731, 798037209, 923063027, 867877519, 393857126, 361127756, 618477677, 296777629, 191225970, 326833583, 821038221, 709730407, 83623547, 149676881, 201911529, 137879660, 115655231, 588371267, 110004871, 938945563, 597067855, 702579217, 897822426, 520930584, 175246394, 620280217, 752139618, 869264214, 555998467, 712645064, 74094529, 48842328, 639641225, 361640539, 1065375872, 500316767, 682135343, 508485204, 620436142, 113978818, 757087838, 535740964, 837112065, 180622778, 606912293, 870192477, 77638331, 619180493, 765818102, 377151062, 586037955, 904391770, 61961797, 213827725, 708606730, 103114308, 656889753, 705011864, 314053961, 790425027, 287144888, 532004038, 715726828, 252658764, 28782909, 947551544, 84297219, 267586434, 446796178, 260568396, 622742231, 1062827180, 1045800698, 652295008, 983752061, 1052758779, 934099786, 862906886, 1039312468, 692035381, 476154923, 529254709, 937993521, 948680491, 329417379, 521649245, 115200528, 596221966, 100357118, 305776559, 448263979, 984508989, 672291570, 206014554, 642664591, 991371, 860033859, 508773967, 927437492, 751989638, 64682873, 559667817, 808849133, 365354120, 903049449, 453965522, 15853793, 56317217, 926777773, 184253207, 288804131, 166349060, 432340163, 68296227, 121236437, 305300208, 420803578, 1032466891, 162476946, 923635178, 943040072, 804701521, 134848539, 338047470, 108881768, 606770431, 961482545, 648797055, 697751251, 1017354870, 701861908, 1553480, 334152201, 1021971793, 415864242, 498537840, 546154838, 853501995, 401462223, 323678176, 690051036, 1047183876, 59589413, 117861103, 1043512228, 281638933, 1061625599, 325745100, 627567437, 1018861264, 579997729, 558980491, 839716187, 1072031499, 733805880, 387896238, 443592284, 211221837, 256155733, 186201976, 744796307, 196668084, 352996182, 705494984, 502346403, 442229200, 663687698, 659522096, 251504458, 158813528, 103289418, 366518564, 194609598, 616133710, 254818156, 876934845, 750316078, 856088219, 396553277, 562785298, 52705025, 617919898, 399772442, 493081268, 916681508, 133164637, 288815257, 861047561, 261740733, 717719566, 619213208, 556127915, 783860768, 366294699, 114033863, 973284408, 747245116, 623533253, 285173766, 552199390, 694075224, 858276483, 206250068, 1065580862, 559746804, 291608757, 138387803, 620095224, 651765192, 830094089, 793116858, 935904455, 603217557, 633747425, 125541952, 31156698, 261469146, 435120038, 281295153, 582670563, 1030562834, 752273361, 515540419, 957643852, 798843845, 427313625, 43860792, 124793608, 665552593, 1034977936, 115255468, 987036968, 119453226, 427037136, 108139007, 670067277, 47032741, 368277340, 233649473, 544292004, 689677332, 921911564, 930660386, 254943373, 985057209, 730681427, 43055262, 29990613, 929873983, 200791036, 430851203, 491239336, 952313231, 701256569, 1047845966, 927114448, 76084579, 674198555, 212251616, 480993686, 110978978, 112428403, 765011603, 856611991, 950590606, 238479265, 648360641, 1048523850, 124534490, 493551129, 929614987, 613342522, 894462328, 558214336, 264919532, 527489690, 370911341, 304618764, 759122240, 586773723, 582576725, 1047006201, 243525541, 483536102, 771039562, 38125214, 401434134, 789247109, 894711432, 878814703, 898422185, 87781253, 605047902, 1052750149, 179064514, 80451734, 993623259, 342017524, 1053940686, 324429260, 952294989, 23618399, 1030465683, 617983259, 419623105, 86746289, 625961419, 331288051, 214426577, 1065988129, 655469555, 74459888, 576521520, 707336445, 660398696, 709121674, 57087008, 472308677, 320988619, 580103577, 1058655046, 447046135, 26922885, 204905708, 824024271, 25089454, 443547780, 782293959, 791415836, 379082723, 286336136, 634181572, 193399144, 374900772, 638545076, 719358261, 144466785, 661433691, 624358010, 958227647, 871170126, 661932187, 618332250, 567467840, 844464909, 561931176, 974071145, 465689319, 647222316, 1001588277, 1030099557, 454151454, 118491621, 262777982, 590896440, 312681950, 117721065, 395003285, 571790406, 637031639, 147263886, 863395836, 309921464, 294392479, 841713558, 1057038191, 1066814229, 928014812, 220872853, 994792008, 220669302, 434976524, 39288128, 81434681, 669574437, 393193503, 556735311, 459958670, 998767010, 841289531, 1035759161, 273437244, 139737220, 558255510, 611500974, 910673207, 518806084, 46934152, 481705166, 269411852, 361998489, 832021802, 1047944588, 859776408, 1026407419, 984814740, 946650205, 1027331719, 897451264, 410813342, 206294786, 193901861, 1035089505, 655464560, 727061926, 90945117, 558091194, 660541249, 288792494, 861475299, 955291677, 13204930, 145029717, 530394796, 329260848, 612276441, 592963954, 24814667, 230150732, 761972723, 831686967, 867360069, 581877712, 494801898, 776888299, 999616349, 589942532, 587651803, 903443309, 90211423, 852465768, 749165697, 103871428, 676415422, 139615383, 923042120, 1058811228, 1057731438, 565174854, 575727436, 702907028, 291873286, 121244798, 361418300, 913864957, 692517267, 390982411, 229618817, 894914548, 394918028, 908544623, 128647643, 37177771, 722455142, 359304048, 135647826, 668119073, 718216297, 167227674, 348588321, 308797728, 130626629, 969228265, 70283110, 218574359, 482503544, 664814401, 544913204, 840580236, 203357285, 24595812, 821692339, 180650514, 597693542, 495978760, 946635779, 397646750, 604373308, 965786282, 356027229, 781914640, 502930505, 675295007, 817982674, 754510245, 767176549, 193987186, 840756062, 174916758, 280712361, 167788438, 495823941, 216973911, 719480435, 896197356, 992450725, 24390797, 419433508, 466440979, 736560868, 623992862, 819953867, 664309474, 454500881, 756192694, 32812677, 741185393, 33078321, 902934909, 328762552, 145199259, 874547890, 1052370659, 706337872, 670265044, 1047987042, 145174869, 1029536832, 198166282, 624105698, 535350695, 742991369, 64605421, 749425202, 60383394, 730413904, 653232232, 51739257, 411204193, 91759623, 272557809, 179908432, 770345113, 356718038, 731328671, 554350039, 179931671, 236880927, 205853805, 21213783, 548102137, 806779855, 893025077, 266319463, 75131963, 331506724, 87704253, 618023253, 536209103, 101747879, 840280829, 963368027, 437533485, 320173926, 1030773773, 402031803, 592438827, 62044265, 647295775, 928627618, 1038777971, 444661505, 809382265, 427075463, 101260041, 959235550, 1018447256, 581589943, 243042999, 938506250, 272067784, 878408099, 695061874, 962744551, 163393303, 993223282, 871875135, 79260653, 905974479, 877189934, 524479720, 242893538, 45171250, 16760252, 968866487, 481129504, 189668110, 738236602, 325197109, 767518331, 467888166, 352503302, 204973344, 333683158, 797119132, 919889419, 146425396, 33807460, 726837057, 55854142, 427552105, 912257751, 737213560, 538401848, 1036637229, 1067875052, 959534267, 28188654, 101677935, 749299100, 42867485, 873979023, 41627544, 116208868, 65857851, 274031351, 560653459, 484958204, 63815641, 575114660, 569292171, 689318412, 320702753, 687849652, 257179999, 1043242386, 822744048, 343424910, 988092587, 397742329, 116520382, 155422218, 43408632, 325241195, 505285383, 660223829, 194587711, 67286697, 528163885, 616168604, 8337737, 331600093, 71333908, 362653878, 385802152, 66020936, 514408951, 179938978, 208193319, 902600398, 357757737, 866096866, 714980618, 748832552, 532614811, 392877501, 549387994, 749213648, 6358017, 434841893, 799550212, 430058219, 911152554, 147194846, 316273818, 963522338, 818107894, 845005280, 650073152, 440468677, 764139766, 1010510583, 859018019, 1006185788, 230271364, 208315317, 891667990, 465443431, 702682311, 943489072, 32584745, 1010760168, 879263499, 500803022, 328586870, 768471043, 405911981, 849024694, 844033837, 252066524, 555567280, 118078628, 623971533, 317323335, 820983867, 514367675, 741106030, 521296063, 447816431, 535973952, 47419690, 640230645, 204400904, 623110734, 40778556, 245892059, 646270005, 63911068, 179822874, 688686114, 128647478, 743957072, 415623216, 14027431, 598786292, 422972027, 667897281, 296427906, 675320793, 604977490, 781166902, 608068407, 101887248, 720658336, 855747705, 591763002, 98326602, 130171783, 11212233, 620163570, 802668031, 954401494, 3095955, 1060902940, 93625557, 740664139, 756764903, 1055571871, 976851725, 757377995, 104973037, 451480991, 197886513, 296847512, 617025655, 942062365, 857981092, 763451668, 1030178260, 701217837, 207638253, 60856368, 1065889892, 956996008, 234558877, 257150548, 654808485, 374649214, 1070471452, 972132478, 799655859, 784444730, 76798555, 1036672281, 544439862, 18838596, 909750281, 287448102, 258852536, 640022888, 671687254, 717076126, 91368581, 52177976, 373201787, 887293425, 447548464, 864667748, 219449547, 1028633694, 925888131, 77004842, 49646702, 21255495, 236947607, 522657709, 732582711, 539746780, 140207480, 836623724, 887519478, 498682243, 1016719863, 657409366, 482628836, 897489643, 740063242, 719926005, 800098858, 91573913, 435768079, 1019474059, 965435858, 533576470, 948206377, 914962835, 951261569, 234600240, 756167071, 660581436, 125825779, 305571936, 86851342, 326551762, 563291780, 780839213, 54793504, 259010384, 416527864, 171700130, 209476329, 759820134, 983844513, 178947528, 245035731, 506539641, 244087391, 1014220649, 847900095, 665134642, 650938188, 254905874, 88312044, 62439195, 19608882, 225123691, 888409942, 882834058, 666138430, 1071991161, 6697102, 508215631, 746004856, 231760307, 472109973, 526274858, 581577502, 256357937, 917879012, 604483614, 1069132991, 717499901, 771711176, 729350308, 115458178, 98423331, 858357427, 795363858, 1070699284, 338212858, 631955954, 994838408, 627477262, 657496036, 697131361, 827153226, 441710106, 351874950, 343438495, 1065130816, 195798835, 425331022, 209805267, 157040488, 495361289, 771953661, 382136235, 137515460, 1011917989, 808529300, 889077408, 355876877, 580442133, 22630211, 508913784, 305519694, 269127658, 104028217, 347046495, 795904487, 539843017, 447813030, 598022305, 444725935, 852574851, 240828692, 287749014, 215042747, 110315027, 278563397, 414883897, 937407499, 585656500, 200460974, 607385731, 839613421, 731494815, 362182632, 409560016, 291910844, 752122546, 873793552, 563002089, 552096457, 469154558, 764226548, 952544370, 938761411, 980154295, 1051229870, 902374521, 568503887, 303120579, 965327660, 325662466, 870587466, 384867078, 613996670, 59038048, 799303759, 276629704, 400462693, 733341953, 559152492, 594933448, 342523876, 766828090, 779406492, 123837290, 1022524858, 404490756, 734419069, 789394303, 374616894, 825619812, 1004498427, 810642221, 951294793, 743136741, 417416725, 449720935, 939094563, 359036982, 318171844, 237085061, 547067898, 259797526, 944939662, 409559139, 987357920, 114261035, 1023533166, 477808249, 861765434, 294034197, 110443864, 5444822, 373369663, 958327776, 387006520, 660233232, 235374393, 417284887, 59788122, 691863947, 1005659231, 307235333, 453853624, 536996261, 204537325, 226788154, 1065397727, 895166250, 66003615, 938541246, 193489213, 78316146, 413400065, 690095156, 610086498, 453600351, 581382302, 1001955412, 710212055, 107463504, 119789729, 433695597, 1031351354, 527607214, 724151364, 732897183, 377725118, 412054718, 471418096, 683491979, 362886985, 788568215, 414121844, 585500429, 129109621, 474211621, 740794464, 696700514, 350731636, 43268276, 706057291, 665788457, 361088912, 128293589, 666425692, 579747248, 351338893, 923731474, 616054150, 132975329, 588147068, 678853755, 993794578, 979165686, 220951603, 886331757, 785050140, 466196440, 605433957, 473408155, 6458464, 430697760, 610042349, 820092189, 85730382, 966529889, 272082378, 261432359, 771195316, 156796094, 393728640, 648389976, 135241187, 677203712, 64910295, 367856493, 911729435, 628116611, 401598179, 63187150, 23865571, 465348969, 243299977, 1067063409, 915324665, 1023689563, 260512467, 436425636, 779700279, 143087763, 716121735, 960414898, 341585470, 411567346, 1008216408, 931974961, 635914064, 317061446, 495186806, 1055300985, 854042186, 525036831, 805384192, 15086711, 700839866, 1004325197, 739149011, 667836874, 228999805, 451064660, 97303371, 237828822, 287854335, 788125340, 37726437, 882992725, 247776219, 672374479, 602842744, 522535146, 36312351, 427823486, 957279843, 354105345, 290056224, 161390765, 503880526, 158175472, 462678393, 1419946, 857905246, 8921753, 25093677, 350083704, 1065997690, 730710694, 253566963, 682184746, 384665743, 426516907, 541600329, 961325856, 275199871, 394192769, 1040267113, 186474336, 526959718, 577876282, 1011800526, 334872142, 519791672, 465847733, 231220867, 412050070, 307140762, 414267951, 902131321, 382709602, 1044161684, 929983264, 464911199, 1027420261, 152633444, 941406406, 900555499, 375741091, 749365584, 204726892, 763471817, 906318645, 250354716, 634620085, 592574658, 291531433, 137779513, 247849575, 548547466, 980212220, 994873327, 466257338, 259380742, 44696808, 532606474, 92902904, 984501374, 274994760, 410567481, 884451672, 108309276, 703062465, 22660326, 22531037, 423346230, 573631383, 648970794, 402805765, 49003316, 808703706, 381085708, 54528526, 170915249, 559400519, 1009800131, 606512474, 510364275, 608054863, 341650174, 1031112344, 982374137, 967137480, 1056711593, 268583202, 163559782, 420162322, 881421307, 665444002, 267311954, 694906585, 635494612, 712971372, 813079887, 221896825, 329746548, 755524738, 275701664, 865231056, 895786167, 554500778, 160061654, 812997908, 988601630, 978485656, 635698849, 526439411, 441131797, 955736824, 683695262, 114953765, 58626493, 1007323911, 705287599, 399478253, 685946380, 487621365, 10585439, 409774242, 762792013, 589705095, 106645509, 676558568, 1038545552, 444693129, 1042551888, 50596178, 1049937926, 732136006, 408798498, 507161643, 690756518, 6185063, 225279939, 554122290, 947238240, 445311170, 50021811, 267069879, 15573038, 451912078, 845556417, 407645237, 864010212, 289648864, 165843118, 644383101, 424639970, 191114667, 721278336, 580202886, 837561785, 925800910, 864473027, 489328349, 321253218, 826555312, 790558215, 568964393, 334268294, 534683369, 911591422, 841130253, 66838438, 437187520, 290217863, 729125749, 616164980, 591131166, 683906212, 550730349, 413212999, 63420616, 985067090, 962734983, 874467612, 316657410, 1051575928, 873277656, 1002660622, 401131485, 641487636, 128022779, 375548919, 928025060, 621360182, 843160659, 647947913, 1066897619, 925501011, 238049161, 897951797, 251496735, 1011041014, 350486393, 440007163, 209554, 727985172, 858934294, 884787993, 126370612, 137595297, 40525286, 781526520, 224681168, 409083563, 317052401, 219718953, 267568601, 425023986, 713433669, 912262346, 367490639, 144553434, 85111003, 949031346, 441154248, 445196272, 620810582, 65667986, 200503829, 464857106, 981133682, 34913131, 463516306, 771757645, 318949539, 100924200, 202111072, 586954034, 758854465, 345829017, 291503058, 771602295, 495367635, 236272748, 478930536, 473354013, 76718130, 919031109, 179742103, 739774574, 1009680134, 57197457, 141123382, 904006579, 191153761, 248458259, 75133701, 981708326, 437436642, 83311270, 926193629, 33578777, 520446554, 636418579, 900657104, 165953344, 771033037, 305768809, 233932774, 947952712, 946806380, 838611220, 765960782, 207949624, 430543857, 928286231, 842733368, 263513941, 604029844, 738258955, 1004770439, 989578813, 682414452, 126953012, 527885564, 745993956, 333731882, 591608307, 389240811, 804457774, 275273873, 403308544, 834073524, 600277930, 116184400, 189904096, 643655931, 811287011, 781486903, 550587559, 700285979, 546646989, 957481628, 280324513, 17450951, 154906365, 22734383, 336519564, 1036418961, 207921531, 256440325, 725987047, 88703588, 234711225, 248971779, 552326846, 156802622, 270712730, 1014978486, 405718959, 995028319, 828275082, 649278169, 436551680, 642392072, 972483444, 502396028, 722777805, 100826366, 967647437, 754283201, 755727949, 561678690, 101492397, 1059695700, 1020360132, 934300714, 1043836085, 390151893, 846551154, 726067137, 236222059, 385009812, 353010810, 431041585, 989776770, 161584923, 244207207, 445570292, 198085029, 598503904, 416554169, 752645426, 252267249, 393577431, 53961894, 571167704, 239684246, 734266492, 1042271466, 520367108, 106550333, 793877728, 553745032, 903309604, 198910099, 954500341, 620268832, 1041039298, 885754759, 431450144, 578559072, 1033574779, 564172516, 652790318, 1008519529, 518085792, 314932422, 421611041, 765349438, 932832348, 91508851, 790716758, 809806642, 342870066, 1055204802, 345627689, 119945817, 574102143, 414235950, 359235479, 180062703, 335171713, 245184947, 706646418, 802176793, 349344551, 776787152, 1006597817, 612803966, 696187464, 668619370, 1044614403, 737734142, 183843757, 974200978, 127768564, 996982755, 727921253, 912742880, 952848192, 1016911357, 490113345, 279971670, 252036672, 95618576, 643660682, 1018019094, 484301103, 814128119, 982708015, 915131475, 957042871, 564102975, 440157088, 468154394, 747589719, 588751800, 816941344, 90441977, 128550095, 597518857, 656906188, 507765164, 539864787, 273262590, 1014817849, 181918814, 785954362, 599114890, 193366535, 785549718, 165345931, 612950374, 237797564, 69508751, 361633104, 421191947, 829138417, 171871463, 611485940, 362298449, 495772731, 48540383, 689662473, 877285775, 513876808, 909783778, 978055000, 709766115, 1073476253, 63487567, 457401356, 551479896, 750405656, 757241660, 925569493, 365969881, 769898532, 59140675, 755526769, 892108290, 285820073, 1041132025, 10947267, 730959460, 493341474, 495301177, 865682710, 8427811, 984366431, 315084447, 762378348, 340481178, 694197124, 738306869, 369429712, 1041844111, 522657914, 292418533, 834491538, 293473843, 133977678, 131896713, 693009737, 453716209, 120848714, 766768647, 235627308, 259948741, 910180454, 258672402, 763151576, 952856125, 549214442, 318156455, 371635292, 340050237, 64286566, 771261723, 74616473, 522431842, 412737169, 1058007112, 226576805, 855402583, 560445974, 632977586, 188039510, 860512971, 991508190, 539532181, 123469502, 536770969, 540844282, 218981528, 654975705, 1006129488, 459698467, 785757684, 23250173, 260878371, 509176425, 157609012, 41595450, 736475254, 189367194, 731673636, 23266007, 1037240453, 387988397, 28529526, 1017647751, 606887182, 230895595, 186529436, 369117388, 323716108, 956986728, 255964536, 343616451, 274724386, 809370712, 461325264, 908244432, 460513704, 321460756, 927316203, 549043310, 679376588, 839197480, 918308112, 67647675, 465080515, 1062196248, 343080724, 719214571, 628178420, 325693701, 111797401, 389582628, 200058816, 15953235, 645176902, 1022385215, 37888520, 944709216, 179998805, 491215249, 1036174277, 864456999, 236221171, 453617856, 762995978, 955679645, 151290322, 575163804, 974524027, 773461184, 909671330, 298380979, 799429843, 926709379, 781467582, 998425519, 456060267, 82433884, 38589485, 265502332, 700423763, 212105227, 967452113, 995429168, 987172165, 818521511, 303559037, 230265628, 325240259, 579769372, 713096756, 556622139, 249760424, 180356962, 846820929, 658137882, 740093254, 425891862, 526896231, 960740450, 113685623, 639463365, 992812675, 800728440, 472204483, 636971066, 899678252, 988046814, 171695490, 87878246, 367551565, 392568668, 701498664, 273628277, 989113913, 112483671, 271133803, 911263885, 32016934, 347390325, 674258502, 729923398, 480617888, 497919866, 96929537, 99044440, 777061652, 687815189, 289707307, 479438114, 135461921, 897776890, 400366985, 1041271453, 167249995, 671083595, 34198, 451017474, 993698731, 168126605, 60469517, 949983280, 105603541, 894609240, 204841333, 126761301, 244556769, 449802131, 779375774, 578021938, 1011858755, 278828661, 396573062, 816675337, 316810617, 355255408, 586312757, 199797824, 809275129, 854774443, 248667170, 169080251, 1558014, 83201928, 940118789, 480171409, 171261325, 159035647, 592419104, 89864261, 727614978, 641378526, 365169556, 456913856, 68202028, 134456390, 1016352363, 719623976, 260222736, 773238008, 487665606, 488311020, 567991658, 371414432, 404897570, 525465428, 793828908, 76258542, 855844575, 922466925, 201277422, 1046261414, 844085786, 287014233, 551013719, 454308682, 158526004, 324291964, 215196282, 370742358, 1068368320, 271936494, 248173402, 712617889, 378546114, 16076889, 236957872, 679505840, 814874605, 408462701, 170961314, 198604347, 691448387, 240135704, 646379970, 924847291, 196899794, 591041506, 208520267, 251392449, 727767845, 594783326, 703229696, 523554596, 975763008, 328563457, 214109113, 579702136, 449265012, 880185552, 355725468, 544700437, 240261393, 868369940, 786291046, 323709756, 1042311900, 110247197, 491685440, 828961821, 921213196, 805249026, 842429192, 143093133, 601818014, 175638738, 1006973377, 1051884340, 263904787, 826125482, 733586502, 1012350076, 623725421, 739900467, 1046215184, 813409440, 227449894, 647795549, 648309812, 926300058, 955418529, 994436161, 988279958, 531907944, 906306677, 661554505, 314365263, 23256684, 138789123, 385883050, 889278000, 576700706, 555115263, 872474748, 993108952, 441690740, 648239212, 132623396, 964618691, 193403539, 665016293, 369210970, 328581284, 261226374, 207322531, 484187359, 254766647, 770126681, 611439056, 1034931349, 179139670, 657029053, 863711177, 1055771063, 717229570, 543412094, 91615903, 886543924, 836374100, 116879164, 493277130, 419755636, 923851876, 583049076, 454070464, 375165868, 81308325, 917338149, 663493132, 396936679, 712576180, 267043432, 687357517, 863925695, 382594874, 1066682313, 453435946, 588284528, 911872408, 996291056, 47830910, 269841110, 20610356, 873724541, 383039926, 994335603, 631813985, 342189442, 223020200, 286217039, 578671582, 896257375, 168068466, 285121643, 622134446, 330916174, 936892762, 759409001, 737219302, 241933473, 821545982, 550113919, 569115393, 592121590, 881593749, 947234974, 871190320, 87627560, 433542679, 11909147, 821972254, 727409287, 898442305, 465148830, 872256542, 1061707537, 894567861, 553862998, 908877987, 123857442, 877505811, 569689846, 147888322, 997704031, 969990110, 779907253, 506808023, 591587774, 799993530, 1072218463, 149075035, 516308128, 606833368, 231614092, 625169493, 192527848, 295649385, 439585376, 693854208, 420447484, 665895033, 224390029, 767908740, 322961409, 424658327, 356693343, 431017613, 743292595, 1011545276, 448020590, 167810218, 1043068759, 70253782, 669916888, 523734545, 202641662, 847272226, 591619025, 461085567, 674980523, 619627040, 414708524, 804899305, 682313635, 855634049, 1045477461, 86327104, 373099999, 522902698, 330754763, 103442875, 482921071, 952493551, 220563063, 440600024, 203420770, 1034720683, 183085552, 197397669, 758479496, 251030576, 143252642, 347232878, 920001313, 428687505, 446724804, 314615697, 54610188, 863709475, 544998075, 716541386, 667971281, 288495903, 114650683, 473031468, 167723741, 237299715, 250397719, 856902140, 1034539768, 88275089, 808781678, 553724829, 169963273, 574819763, 276972183, 918680645, 311302485, 359921673, 558716351, 17578798, 329160826, 119677917, 221560625, 83046746, 83882908, 815824672, 811706427, 783287595, 72099298, 514333130, 623797634, 520697525, 175519037, 918184587, 1050903886, 625026973, 35297572, 203664941, 246901702, 435968073, 353552381, 817082509, 800199892, 457076311, 838089532, 333149812, 1015488640, 187039817, 466619290, 198187809, 628257612, 56560279, 204024304, 803370151, 752080500, 979781012, 212968642, 113517685, 676033789, 593096410, 239011948, 1018640012, 65550939, 978351770, 369565501, 460167819, 740846889, 650466141, 302806531, 779616058, 889863535, 467324628, 177606215, 246285495, 548075053, 383960989, 449416901, 802375652, 1034873313, 116330963, 901804233, 938416975, 578071710, 316000686, 694308196, 476475564, 954150064, 320458611, 282538166, 388114466, 859103054, 717617996, 883912386, 75974555, 863694882, 781586344, 526607633, 873098215, 526806629, 96925675, 318494760, 715062273, 245078658, 298692122, 303984485, 306781920, 766089535, 239798416, 8009214, 293006329, 270339142, 222529047, 524939673, 1056130759, 941338885, 572970400, 839169388, 68005408, 3171024, 443667024, 668782251, 1058311860, 972137642, 387413019, 466849313, 836255633, 773857247, 307142817, 693558506, 1027173610, 47461444, 765908301, 252724842, 363401804, 487325445, 753102943, 78551002, 542105232, 243887142, 185100432, 1006165114, 788725168, 51616447, 353181704, 45062248, 688861755, 6947849, 920825330, 735740857, 965739309, 989754950, 765647578, 636621152, 767980192, 573587323, 954233292, 760441457, 410120279, 1024897831, 180806820, 392503665, 163219685, 668001146, 245492306, 953121562, 154895623, 775543219, 507044267, 500367470, 95818074, 304196857, 233579653, 847186888, 1007976110, 75178302, 1044972330, 610260740, 606148549, 358729894, 1058771855, 107934987, 93100823, 1053915013, 374329601, 448159984, 1048601700, 765271656, 925847375, 623949831, 852685151, 1024723264, 543031904, 489459100, 714327288, 989365732, 945563280, 705658514, 214846370, 923696468, 626027707, 807536146, 338971204, 70208130, 362911728, 663202116, 319333890, 274199602, 816413267, 1002544878, 360866414, 875787104, 471731628, 926951268, 632301991, 860953455, 696521475, 22282346, 388628222, 606028045, 459880469, 952110699, 938491351, 386508487, 137891009, 462113693, 1056792717, 279268373, 93584744, 564277744, 517965232, 736242749, 315887463, 330809435, 215598794, 569260178, 769428612, 250155505, 290200376, 1033371924, 1054527469, 718344048, 868805766, 672370067, 339261549, 532251204, 125605789, 875617816, 746381362, 613710664, 106665704, 820411075, 472315579, 74346558, 350120734, 253581886, 802954147, 778536528, 1004305525, 146541398, 146911233, 848954392, 752490073, 144565194, 257840128, 854219613, 391975787, 1073556638, 307808070, 698179352, 87071548, 375058834, 505837667, 548237845, 151945179, 953528844, 685289940, 125697027, 980476650, 726812017, 800239610, 876177562, 871037415, 378191747, 644858143, 683876118, 621630326, 152259177, 746098398, 692228067, 752332668, 598268134, 391725866, 366844020, 82908276, 787601303, 982540244, 173256801, 181636391, 299523732, 259980726, 235437270, 398120490, 856089912, 43220535, 333261701, 12839594, 95658120, 1021840770, 94403633, 915136424, 899074925, 693666366, 889471762, 192412668, 985580174, 276146994, 464046976, 435675063, 1046884802, 315873640, 257258087, 901583221, 441084068, 628953026, 141625165, 434057225, 735702915, 552244639, 702835364, 503892858, 943064511, 150443678, 238429419, 824342718, 526106989, 138709701, 595442234, 832072260, 690692262, 53461417, 115715064, 926638235, 634687563, 147117554, 92048374, 353803484, 936171159, 370033267, 107450514, 532151825, 284704388, 784941938, 971458399, 565965143, 543521395, 714782661, 161114236, 984830981, 557853805, 814394402, 193936328, 189150144, 251720920, 1063599967, 665394940, 100092057, 519335719, 44065495, 52342891, 120528325, 97304965, 641194073, 727968298, 266677629, 803569211, 201638615, 1064854057, 911465410, 21475072, 451727195, 1064737373, 972997566, 212473126, 170423038, 376697688, 990914774, 168804020, 845679654, 546284026, 926720679, 1004285391, 132635720, 307316459, 237598379, 529078106, 514891386, 188099787, 524132476, 608147170, 1043755994, 846168626, 173804448, 879259625, 510390507, 27317688, 86914325, 160718752, 420027245, 813872790, 25945088, 291565329, 134585096, 628509848, 665809504, 315649940, 622677100, 122535342, 161577011, 267177696, 446714775, 550214405, 304611268, 899870734, 907297901, 80715365, 1007582628, 562720014, 897105095, 388378738, 115367594, 715289420, 161080851, 431145444, 73147588, 313152338, 12321663, 291566374, 911233276, 264663396, 755240628, 639837883, 608239874, 39580187, 130691078, 738209068, 23505621, 616585083, 654520134, 488438680, 162836057, 129341198, 885285519, 39387166, 895681829, 151143526, 795357599, 425666148, 188406222, 199347026, 163315865, 290329278, 910338836, 391111426, 295374071, 558713644, 54735594, 332455341, 800569124, 1030270241, 962646545, 627430377, 498953068, 784588416, 403160642, 1045223909, 582537775, 185297867, 864174198, 272293550, 1015823692, 899330991, 327778046, 856117229, 870590067, 493066117, 125779166, 395746683, 884324971, 326657181, 351495183, 381428506, 812305416, 197447953, 383988548, 618668756, 894644175, 1048253181, 616868313, 35585682, 552961852, 253162659, 935749024, 772562897, 880357136, 51217128, 82743164, 946942924, 253965905, 633879104, 498128918, 657407935, 474985560, 557722586, 138758289, 638928686, 734495649, 885113922, 845979183, 220137765, 684741852, 686002157, 920446349, 988246024, 433156668, 310660534, 370054783, 182698727, 172858363, 949419316, 670173932, 257688337, 553836602, 1055951133, 391335546, 580081580, 594399588, 347797166, 5683395, 273347696, 723749102, 559585395, 90856128, 357566895, 404031413, 676555408, 829090188, 41698109, 474220767, 524154816, 256883576, 407730275, 308785717, 910621231, 24580909, 288445679, 921127891, 967184396, 186660437, 968466442, 64596397, 1065695970, 458975650, 27053991, 1060910718, 409117727, 185259597, 284164087, 946530919, 961432142, 952492112, 80290109, 487758920, 507183559, 234481767, 211545295, 87928824, 697558276, 154699632, 835634376, 966499864, 108117039, 360743501, 991121587, 286816832, 1056130145, 996681092, 74348163, 321807114, 351791261, 592046255, 443623012, 241041627, 654984, 491810323, 69303386, 317553965, 462331708, 8464999, 193936644, 299306518, 198962616, 619338440, 875266435, 458681034, 318035540, 982162383, 532812080, 756658552, 324086301, 460411677, 104027349, 727291908, 176902098, 941835996, 386140067, 964450643, 520114191, 782272298, 597079615, 352318499, 738318616, 298109027, 1030542331, 324792630, 1014018462, 755965165, 272678817, 116251764, 790721226, 648539574, 331343378, 951885322, 972239592, 649478543, 383545407, 619231370, 532947430, 676606502, 193774502, 778552998, 646938769, 318850840, 251821656, 269383092, 353477007, 470400677, 673223143, 212202637, 252553901, 682604202, 1037309131, 12953647, 712412966, 138352370, 148085399, 1052248457, 182611465, 756552000, 867512593, 141714815, 392973380, 740338722, 746135475, 1059288444, 804766309, 806451942, 484969980, 58360906, 1028816025, 834738655, 68689770, 79422870, 781620163, 275642287, 605304535, 202889288, 794083874, 867723510, 120443591, 665443451, 847366883, 248847404, 448445087, 464092446, 251730234, 298429892, 248405618, 1068663846, 521143883, 153878218, 107455414, 809583202, 68373980, 987794023, 972370138, 62184343, 49090596, 151247854, 724770642, 900856138, 660694965, 778114088, 833483658, 803037546, 681981300, 140597732, 44465940, 64196644, 147000660, 409369168, 227213624, 698005735, 870456837, 908615424, 296053464, 936685433, 890135320, 589471138, 788102474, 371347345, 891181266, 712391167, 689709774, 259208535, 414263580, 842089497, 880678105, 832534069, 883409372, 149974443, 580272079, 395601144, 80459302, 413752431, 429055551, 881538288, 493888450, 483102038, 1065380585, 873754981, 427391532, 146969197, 182717501, 576880205, 792366187, 558858458, 359767726, 420322565, 1003870138, 282981456, 914957259, 832556739, 302690349, 920481061, 744985887, 661295669, 365648540, 439875984, 686100015, 195577544, 689511683, 558150513, 958085190, 786106581, 466994268, 7787064, 367169428, 552708987, 100658661, 790207155, 300511305, 906824353, 27548344, 984974411, 701159195, 255509634, 1052193434, 510348137, 761469192, 1020679575, 418652643, 409959989, 410372098, 1014456654, 735629073, 2260495, 727680137, 319805566, 762493884, 156482273, 979877037, 252568211, 2180822, 885514186, 201605240, 720743025, 478717516, 541385080, 1063260813, 196849913, 680371745, 205962797, 875135531, 502278848, 74405453, 890503747, 622995780, 410177859, 306889867, 466338956, 20026883, 685304997, 579948758, 195417101, 78572613, 310062671, 822322032, 914470583, 261570730, 745291129, 983292306, 1057217098, 492415475, 465614911, 859533426, 1001350312, 562116242, 749923396, 736651186, 968691971, 894300136, 108285153, 125697786, 625947242, 853155759, 754794696, 1024060799, 74811265, 615527432, 607773356, 933866861, 620283740, 528861240, 857364481, 107581748, 634807352, 613452267, 718469987, 923495682, 911883318, 299858833, 276038788, 815857673, 883689028, 607928063, 648901766, 1062219430, 656025582, 989172494, 313261120, 433480247, 623019518, 981731742, 527242787, 362807918, 534707776, 459984175, 559547335, 623124997, 779974778, 939989334, 114511761, 162950851, 47293641, 829374263, 580866091, 668653540, 985047367, 895866866, 544514272, 666754796, 133501360, 686776359, 1044205773, 782495885, 472440745, 761793609, 6647559, 649142755, 563663126, 348770104, 852836288, 269629158, 577525797, 391096999, 38927186, 899497984, 953950498, 463520856, 1060328205, 639239726, 379428769, 513199256, 725998546, 695623534, 664168871, 168243963, 460158506, 969263732, 495770564, 312781360, 352989210, 970211212, 147471504, 740843646, 429196783, 6834342, 1031277527, 738827347, 598442499, 845371836, 983718930, 925328711, 223450707, 642312559, 125393921, 444962144, 1023849911, 964185259, 654329611, 55309883, 108736408, 361434344, 744387559, 710530221, 1008170459, 231509680, 496242436, 920780186, 584723707, 367211747, 795439677, 695131140, 257617337, 917645287, 287016241, 339002021, 710078658, 239883103, 908409014, 419989596, 489433827, 533179310, 891718373, 1052235948, 894574158, 888076625, 850804592, 911549230, 783405272, 1014598107, 872254937, 518791072, 420188566, 19479616, 775378902, 486471524, 146143212, 712927561, 300907060, 1066668574, 405348569, 963992293, 784650436, 889191599, 596532505, 214661888, 540601118, 634208167, 421378700, 685330389, 879208674, 844091990, 180545823, 997467056, 1041973026, 775915665, 776022834, 783239714, 19180828, 476130927, 218954166, 444031155, 513032801, 865357057, 1052760881, 95042009, 451423824, 781972332, 708477006, 551922238, 557365670, 308964006, 726905817, 964856164, 60001194, 8506212, 138095054, 706433255, 77488457, 486312941, 893135647, 733472141, 152367888, 837652799, 766821880, 276660556, 796341254, 498860360, 378936255, 777782642, 682396776, 784624160, 906419817, 52294311, 912567755, 576560153, 797204981, 182366405, 509540684, 759202193, 63007003, 465038427, 263296390, 536907801, 282291047, 306596362, 655439239, 439051958, 177161484, 202747193, 121515388, 339067072, 632838823, 424008518, 246867823, 999100459, 44516560, 312869347, 1027459569, 44269261, 720859149, 595639166, 868188489, 36898737, 341370295, 1065793247, 1042580461, 385945466, 560343151, 873906037, 213631321, 360670905, 676743345, 753376590, 723722625, 850550275, 616043406, 791002082, 358487984, 17379673, 156272651, 880670061, 1020278583, 786699080, 552957902, 205888395, 522009774, 455083682, 394160843, 223186324, 33320432, 1022792918, 780765078, 235042803, 796080666, 946741374, 439044352, 558017160, 902357686, 709524979, 145640691, 659199324, 176577140, 1037477264, 213312116, 270388115, 486421781, 468195520, 389405330, 46160546, 525698507, 578311104, 335302406, 116736899, 90847445, 646206862, 35761920, 547027303, 1046696211, 1008500870, 588475993, 430091643, 899710415, 27194098, 95995013, 734263153, 413285991, 565638035, 1062134923, 437584685, 923656708, 688907167, 24469391, 968452501, 424784451, 386709028, 944093936, 261577750, 690929775, 627898560, 328241837, 466034044, 309256020, 34978661, 885186931, 638746204, 583887725, 870396115, 134459623, 851460403, 588970675, 697626798, 596539975, 1016750179, 1048819467, 10013004, 62893839, 355877875, 833989629, 123344834, 696207696, 153142812, 642618168, 948795189, 617694829, 745474592, 910564568, 780661924, 534486972, 60304667, 290113124, 458283019, 962815386, 1040463286, 499519511, 11045265, 77669682, 523010889, 270391103, 721797667, 368213511, 677341499, 649571988, 56521551, 263690198, 432116109, 57715846, 402424712, 767122079, 1301334, 288423072, 335640096, 488138992, 989364405, 536694523, 718882729, 190237266, 393613441, 743348994, 699944320, 854981045, 470393135, 980088527, 354952740, 189167889, 704353636, 815180864, 328143164, 120119376, 106586685, 432043324, 806660356, 661851941, 904376959, 242832861, 693323127, 945451841, 420990755, 310125484, 1060641986, 460579845, 171638823, 436904492, 850115327, 375447712, 542301690, 301302408, 627079387, 132369646, 507213758, 999527168, 974931732, 655549450, 436704719, 131093789, 360414156, 280236822, 1062327997, 1017683658, 10445442, 932883807, 939025148, 233205307, 1019164991, 767794974, 957705741, 718413862, 943536796, 672626151, 685008677, 903348256, 114084196, 409774500, 101369578, 232238532, 239623255, 373671970, 901215395, 283348006, 56158198, 964491841, 99820912, 837990692, 200197842, 194523044, 551899205, 80171509, 1071617409, 125995172, 809135311, 7533378, 243309173, 776817563, 11013259, 29250392, 900990335, 291941514, 768850341, 60450808, 120884575, 1043273812, 466543590, 540170499, 914561335, 937420021, 672362317, 383799570, 662009305, 966939243, 515099854, 703452342, 135274730, 371025027, 528401039, 754286364, 680926072, 60556647, 721444898, 577035566, 190214476, 152713427, 51990388, 884290944, 1003985356, 939616698, 724204632, 18476048, 978422496, 891387527, 939906991, 280687069, 639804031, 29972358, 460050630, 960848537, 251263131, 321565171, 891562551, 801380412, 42102832, 770842448, 317283429, 673622032, 749065946, 755616360, 973527516, 864519742, 227651057, 89142456, 730761529, 427455975, 155253716, 925375521, 687301877, 70826660, 741623857, 780105140, 19872926, 282887711, 681988921, 149493090, 492673795, 432774798, 577584048, 307594296, 15625936, 397179016, 451133999, 15718182, 674503426, 909416390, 384385789, 882194111, 887395672, 1034418237, 260265157, 242854004, 371060984, 832778710, 1058910408, 321921616, 186524748, 970023821, 328486844, 329329958, 464141626, 806286072, 798872471, 181155405, 1029843252, 464273460, 210829890, 182727589, 42388330, 856149408, 986420401, 376905201, 777777118, 338815569, 224993021, 160763271, 742475398, 880682739, 800764776, 722856461, 236453479, 791403214, 649513217, 523513775, 475256827, 647739613, 457691839, 702447930, 262772790, 324659726, 717001597, 427031807, 58798964, 598609746, 243165841, 224402313, 714417081, 284562606, 855814081, 98379162, 35460079, 198862315, 563727984, 808581673, 1053253532, 450460052, 933259933, 482988495, 920137032, 82980446, 367476360, 922446566, 995564826, 765730657, 262823697, 582215185, 716987597, 858997259, 706131125, 3828831, 513537260, 349425893, 1017035102, 1048055123, 686712952, 612793098, 636474961, 467306357, 898959912, 916677534, 224915490, 376425425, 169556083, 806868895, 856030421, 672029132, 1023662482, 893976983, 1013198392, 379342285, 312796313, 638188264, 492365414, 972954370, 850383061, 181495412, 111508082, 618487003, 702812444, 866523176, 201754122, 422210120, 1043257765, 833036336, 435735822, 720445159, 840206820, 824385455, 745101928, 139463401, 565845597, 251337854, 662612405, 639651632, 933542014, 477222976, 672258136, 424274820, 901252355, 12811910, 1000041530, 804920394, 480694120, 590169418, 1025804951, 512546285, 405360944, 665953207, 528157029, 1063471163, 919246597, 426268149, 775198306, 197770368, 61206208, 405895237, 144444931, 560258596, 115038133, 488611320, 907801768, 548975962, 91266023, 25064931, 369841311, 22187397, 291492389, 140201810, 487908052, 419189706, 902548722, 445239675, 240936084, 809131842, 518427998, 272821940, 969823309, 204539193, 143856263, 720213211, 241272862, 1004574166, 192096818, 554088748, 18135191, 32214386, 704486290, 301988140, 287387705, 63605990, 293950864, 11190948, 308066376, 415907279, 164712874, 618164379, 696729410, 805842240, 976984323, 869055221, 9257298, 701141617, 969525766, 560826928, 342606162, 927839843, 718432531, 822138067, 859223328, 400424614, 1049955707, 564148166, 937124953, 1040837396, 859448834, 715170138, 668868765, 746336354, 126307923, 585880263, 989466989, 136886850, 419153882, 307322178, 847249381, 209434903, 811959961, 165934782, 223050683, 507344569, 920719919, 266249216, 320743614, 95518805, 778018336, 919303464, 647455628, 29219858, 94158183, 922151380, 466043908, 245448601, 92633317, 634913974, 621207204, 649520429, 125774629, 225401742, 557231408, 290827426, 684769538, 652388584, 552280534, 150566143, 547891356, 595412220, 993659821, 510088975, 689210367, 759155956, 71523644, 553874149, 282596, 36284383, 263639754, 854694124, 316907045, 1062956512, 917046303, 163027008, 692179740, 703488364, 959427494, 655115590, 545030231, 618736400, 384351252, 436148725, 919956154, 35995420, 176784408, 456410552, 1029176247, 858433514, 402321993, 928192432, 308317520, 81905570, 471350860, 2079888, 420210769, 782370724, 898691630, 924886144, 1037276074, 406460496, 520938442, 402725748, 397479379, 511771996, 645326914, 583085160, 818482928, 779204232, 590167184, 210477526, 629446521, 580579598, 41745226, 582342038, 368501524, 970740272, 282570378, 8606464, 854258488, 679683652, 369588106, 565105192, 503417393, 960493355, 208918950, 940610753, 154909697, 138351054, 121442833, 405889285, 41014537, 969792788, 454463238, 227945732, 1002971383, 682705658, 966565733, 1020393866, 674035897, 346389516, 542736647, 151620919, 197692253, 673950291, 136057525, 7254584, 178210863, 67487268, 652279605, 172884822, 501175100, 370577916, 467857535, 28780987, 944619607, 720542559, 843095632, 1063044833, 447803362, 46617592, 117100695, 146379230, 515149100, 560810250, 165934117, 13126944, 757500561, 218274944, 452260203, 1046340056, 980292895, 762506273, 297958492, 509925742, 231768242, 283656114, 362460005, 371736797, 945212346, 631080004, 202655094, 587993577, 454255019, 381901053, 722146969, 69626422, 43164735, 759771926, 842678836, 362166150, 150709729, 670244302, 842862504, 630961503, 678083376, 925827219, 685296582, 267394432, 919617249, 353284172, 764570277, 90755039, 69779297, 184225219, 987529975, 673539028, 123743068, 87977333, 885138727, 613020653, 511546827, 1056386372, 178371964, 511691714, 2272118, 698120855, 424650487, 752571264, 1070623063, 716025435, 881189394, 450008518, 462799467, 942796296, 614239665, 550988408, 684399932, 631105216, 795388833, 161622603, 293316252, 858111581, 684400385, 152093019, 836971643, 467544655, 369525322, 522178717, 683481867, 801324743, 440655148, 206645084, 117024363, 897214817, 871408087, 569712151, 179288026, 886672030, 470491229, 9599896, 148174138, 332931670, 629708183, 397537617, 1063051506, 649455361, 167176571, 324277796, 505254394, 672956594, 415383327, 558844362, 1032513404, 911312863, 80302044, 844967464, 69195460, 416412820, 841634348, 262110582, 326841380, 801238140, 46827921, 995351307, 947020528, 588770322, 452757864, 965332589, 585466997, 694364381, 53041615, 730628327, 437529308, 315005004, 664091209, 225592230, 650055626, 591485441, 248291512, 438082291, 912129747, 151993988, 627461659, 154166152, 130613846, 245353045, 49797292, 8496159, 803500946, 1050748061, 168968102, 733273136, 932849702, 212566105, 490024982, 283095672, 206775809, 164117276, 475124097, 489638848, 52021492, 31938260, 408581494, 465895949, 146349263, 117141013, 589395238, 62030163, 807947753, 77982873, 778738824, 809998876, 37749715, 625003203, 96090665, 569604904, 701837230, 821586148, 498494531, 141114266, 985547269, 439604389, 60397452, 978129995, 446288052, 288511250, 252000465, 1061528426, 456881220, 949467294, 130064597, 305988098, 520321308, 1001901255, 303768759, 225639408, 971946651, 971980700, 412470858, 628046294, 732717845, 866977101, 119495782, 756936626, 303437883, 592009815, 492410810, 833213419, 822990255, 755740199, 49551082, 11859826, 493502508, 43547974, 434976475, 401618559, 343062923, 277119993, 343176345, 100120977, 735309046, 522525632, 950883143, 1040980961, 265322017, 690337242, 829499140, 714834184, 997773337, 608697164, 433590672, 205552083, 469164576, 786703263, 337019952, 658415471, 608546210, 270213533, 325731573, 374151359, 1049499493, 657077013, 862825211, 126359620, 715347009, 527273193, 798372036, 497134148, 705187775, 985398014, 856034507, 781356461, 207367037, 741097809, 902788780, 376953976, 45950595, 602379907, 223251404, 653227684, 936219540, 857337870, 12597407, 739813134, 1021426276, 197256987, 995993922, 712200556, 755756017, 187825033, 739671766, 615658470, 289165193, 526127946, 593227066, 972745100, 974241397, 288542552, 638893302, 740035549, 402892300, 317649077, 117145639, 245054449, 586398186, 732375666, 513190247, 1008671892, 884300588, 1061590066, 929824190, 749242033, 842682052, 875823876, 433735956, 563393186, 360284410, 754636747, 621323053, 759213981, 266521624, 461869510, 813628006, 164539261, 874995274, 660385874, 732866963, 1054207791, 202312733, 758297435, 443400016, 305897150, 788914154, 558938522, 227847848, 632033380, 229508451, 753178190, 600877618, 665127078, 7980318, 747995997, 212174674, 768811045, 204627097, 498391650, 350774509, 879800420, 995540798, 760645994, 962238592, 1059128098, 948145075, 370669915, 411703654, 729529025, 1046082175, 614063265, 134020650, 474347825, 388565454, 43734018, 62391295, 895230893, 261209080, 846968997, 680608381, 814611027, 480077958, 804149022, 984076220, 802658092, 795976831, 136384518, 240792003, 216406131, 580889385, 641947444, 712307236, 927727756, 623137557, 89018715, 1004522524, 1063845399, 620187835, 678022438, 549750762, 841216097, 866290089, 737059641, 1031559953, 741897626, 526574190, 624193023, 323397458, 306611195, 995047388, 32495665, 8583593, 292112252, 240258330, 1008980883, 642407729, 118529072, 582224443, 548182847, 721092210, 927790279, 287334660, 669294398, 734756809, 206519084, 878416275, 216278967, 137835768, 767863189, 798429593, 945411090, 493709766, 86326996, 847445206, 460683638, 535242186, 242643439, 921774628, 553128430, 182631679, 592498494, 902508779, 468060277, 576248612, 927030935, 80759366, 576192377, 254919370, 710003167, 167324201, 671265117, 31489875, 1070592592, 319014907, 927451692, 886083612, 475051919, 776493443, 338120355, 482542946, 226162285, 495527034, 1030294175, 7650922, 257546521, 770967946, 511045677, 940365789, 633887943, 713240803, 258713366, 303559206, 855812787, 887628574, 114039875, 1066606424, 189083724, 326147306, 437257550, 383522881, 644973857, 83215761, 862823124, 830359914, 301128996, 362066064, 806342520, 41916092, 777238059, 932321494, 150909273, 232734979, 310222901, 589468479, 1062618259, 834698547, 492701028, 276687039, 1059896688, 595746512, 355004335, 339986018, 501670104, 451067370, 219675107, 974313917, 640516847, 973831957, 438409388, 362603325, 60409433, 116327720, 220122959, 148948725, 848344667, 684138442, 262248872, 433733569, 420355781, 943561578, 920661756, 733235352, 1023697822, 651012891, 662604813, 1028202409, 197504728, 858728554, 946729319, 517435739, 176590257, 1039427442, 579776927, 986459161, 92735107, 917185217, 1038635699, 844932443, 898847485, 1033418572, 491649655, 1032656136, 281129993, 397376670, 805377638, 827972148, 512346966, 405246707, 888934064, 223374868, 494079643, 969643506, 789659939, 22050643, 381459985, 565591125, 899798661, 809577641, 994814086, 69325878, 232256026, 129903831, 211002679, 849656128, 1055192638, 609089095, 420135607, 919697617, 809231486, 932652881, 352611657, 204499611, 236384838, 970540771, 572670233, 1023182289, 241366484, 88332432, 879827108, 595240819, 77765678, 824202872, 128069385, 591416664, 506006734, 71453200, 898142891, 367606440, 716278568, 270225603, 606912842, 665914849, 319556918, 4548647, 183856479, 336708643, 701143215, 96056395, 738225047, 163539403, 93885361, 139505088, 747050037, 712052783, 946141998, 854442796, 882709986, 503868657, 397214374, 146327181, 51730367, 492146253, 515048944, 864708124, 289977585, 27180130, 283018815, 1033052383, 164216002, 935274469, 489780385, 286412620, 1063754194, 546160338, 734624256, 535629640, 81535914, 1071333077, 11329119, 778466983, 404334814, 866018933, 833278370, 980615662, 981035413, 538821009, 97601729, 286351357, 489030852, 867577670, 526378019, 1034555418, 930908782, 828854225, 664152596, 1019674007, 1013955088, 637601941, 392182270, 236228076, 897241489, 1007477578, 434859070, 444051868, 793878262, 797184559, 950946886, 49644721, 720054528, 845295074, 54307176, 744589468, 6995999, 502200201, 27849618, 963522586, 873831250, 512189440, 990887321, 907636770, 739674080, 105681453, 914618144, 454006812, 657088427, 12422685, 109139911, 314945272, 1009583079, 991528269, 362679566, 548509334, 17257888, 391036555, 302053460, 637455670, 430338375, 193985546, 104396380, 276312049, 304099148, 757866091, 51740207, 898625071, 1015286011, 188943346, 436008245, 613286695, 670778252, 864531331, 417858365, 546973838, 573011069, 35446450, 474178490, 536836278, 666784885, 973490974, 38284286, 716606591, 826305702, 662430788, 359813699, 403429677, 339554847, 105599773, 598663031, 41401235, 109226140, 445209087, 1041139478, 449323347, 686441552, 19995216, 191095504, 615869383, 331845888, 139916467, 498524496, 232821205, 170254696, 925616674, 264952315, 1025818838, 39990806, 786584796, 994852471, 712908508, 924439572, 900072968, 763656813, 527443433, 23427089, 813164705, 285989038, 81728308, 386148016, 645589913, 167620687, 771398316, 616189828, 658431129, 141725954, 942025756, 831461209, 433116102, 149470042, 238031487, 344931287, 762048157, 219428087, 61277133, 806998193, 937614043, 167590194, 35121995, 970499777, 539871282, 44247650, 784636927, 1065865996, 582788863, 705649864, 644147904, 490469939, 384416679, 1027596081, 883448558, 54777572, 237571528, 421373267, 551704244, 170348169, 989027721, 290622400, 538755608, 797040037, 304038908, 337677442, 815680827, 381740057, 175414311, 365576467, 855961142, 652638932, 150115793, 179879800, 193306347, 281646650, 896258785, 28268238, 618580457, 663117408, 489324763, 807638974, 137375795, 985286406, 505328103, 146573436, 410272196, 243384277, 295729692, 96944352, 299190444, 639493625, 369377787, 481861333, 710036715, 43617981, 631367063, 691512584, 663815510, 635226395, 1072004852, 156722407, 460037980, 41943163, 543132495, 43567363, 175973969, 910492977, 235586254, 700214569, 226765844, 768584575, 244440546, 469288776, 32353799, 117421340, 780673754, 704309828, 469171564, 1060444716, 530560713, 986124365, 1003956184, 902970415, 343101569, 665801966, 628335167, 404483881, 582106005, 892736013, 351528481, 168039921, 603743466, 196896916, 768140308, 906884260, 709649586, 261603980, 346678555, 195829983, 160095828, 744244382, 580249219, 908321753, 553742678, 555305731, 212124867, 1001610717, 587451151, 30421762, 785396766, 445888602, 312953305, 797417884, 667887093, 662039161, 254019751, 812125680, 704730160, 1057337134, 509473537, 354104489, 923527563, 276536290, 199876215, 1061784325, 83816970, 679016838, 760536542, 1022389946, 82854555, 668524220, 1068925595, 929489725, 500259349, 583656313, 177682971, 632594456, 718134681, 889090935, 574036468, 562725769, 448074641, 1072443264, 670132562, 392828908, 947546466, 55978884, 1005871931, 189323044, 5561688, 1813236, 673708245, 385640804, 393984948, 171875996, 666227595, 510122654, 550694051, 911833961, 805517284, 153793296, 511556566, 285292796, 255205424, 323817225, 743346505, 771868883, 1056156054, 1038444341, 946505969, 226268272, 608047171, 187866439, 54692158, 844096849, 716681977, 313804595, 128369625, 837721243, 850283198, 146043890, 61118746, 151422999, 776919969, 660599224, 995562949, 404766945, 385187140, 822653918, 460735998, 499263672, 628761172, 506341233, 982061178, 582598936, 993840527, 639114246, 786202845, 549344461, 392977528, 952486211, 839990696, 83706341, 187908213, 229697852, 383262119, 820609368, 387322363, 75958319, 899995328, 892433492, 389900330, 359206882, 164161088, 615763981, 277694657, 406420187, 588853141, 14077785, 1039635543, 516335611, 738910334, 561863247, 415086240, 549987309, 596743740, 569633583, 532170612, 196683383, 170241953, 808185708, 625342628, 443007090, 60958508, 166353116, 247079538, 370740089, 1056634627, 750159771, 363666201, 974642393, 337300598, 331700988, 580541407, 979206684, 1033669387, 456572748, 1009547699, 992066579, 605873818, 935101616, 683661119, 670941853, 589310912, 52142460, 64617329, 375820077, 509022039, 846359753, 861283707, 206631800, 566076790, 818968004, 150472793, 53104556, 995869726, 774247451, 711681705, 382443643, 822805529, 879998827, 162333383, 985950945, 324189864, 221823045, 151455624, 33556540, 19001811, 544593062, 91693061, 855833436, 1046426435, 839002677, 606206246, 905799753, 932848937, 1071365635, 467795897, 200778465, 263133672, 96093592, 282784929, 487217412, 930304215, 575739977, 105382417, 206173705, 537625561, 838586425, 225747959, 604140615, 279094204, 916604308, 768845096, 286964355, 929175060, 205181805, 608513456, 196306930, 756215594, 290079753, 800782461, 559098153, 121811280, 895134261, 349523806, 115754931, 893559060, 457018181, 385487860, 757559299, 20815308, 877304120, 603944155, 518299527, 1002179167, 211941263, 633738391, 76582910, 250276476, 843708753, 994192971, 409716714, 142712122, 382549039, 406513316, 665809536, 218968837, 1045741130, 108812865, 853989419, 1017865943, 675396317, 93822834, 1052592861, 459851417, 384693927, 1026847457, 336666752, 46080704, 698240350, 239991091, 252986051, 825470164, 189463931, 881957410, 574795497, 104675026, 329378659, 580710174, 57631829, 227038965, 988308797, 712854459, 669399416, 991904655, 949455606, 140255265, 977760666, 918155740, 900711588, 1035928688, 954031958, 78448144, 1019200872, 736969395, 997728895, 83585503, 528346203, 622799672, 755160385, 394572908, 911947149, 17372552, 1007750485, 742011443, 90884991, 425269507, 1022304297, 203574871, 792318932, 1010419429, 62013281, 312384949, 463743673, 50717184, 869161103, 806301803, 366204547, 612141779, 302780712, 551261714, 604526632, 718761739, 531417161, 124516123, 29667049, 324323802, 108226894, 352517086, 420760895, 152851206, 693796758, 658713526, 906897632, 667686265, 326548537, 638885681, 478380694, 453776464, 15576505, 1071031364, 32542211, 908274286, 575116519, 89148462, 803154398, 379478496, 387442384, 660750884, 175569740, 651099049, 614552283, 537706737, 306815314, 773309025, 909718043, 671911489, 637877380, 147493723, 128188982, 703318218, 598276309, 783341565, 382860081, 800046038, 335546569, 374390057, 27095824, 628132767, 335546245, 433544939, 187721356, 810213631, 454223778, 474482950, 674669406, 327267845, 308342755, 443507485, 603625503, 944808864, 507060825, 147021632, 477370991, 956253245, 979656202, 801297856, 749160887, 592514582, 662996542, 775378536, 123525802, 826563325, 658871286, 350111128, 339042236, 18723824, 725168990, 25385803, 65841072, 466788203, 637530961, 1045836114, 264082673, 34068367, 585582417, 375501982, 1002368949, 525860057, 1072213482, 715892083, 113964569, 962915999, 167258136, 583426697, 741973362, 351440492, 804125884, 998281782, 821945092, 507052241, 909986356, 402878278, 1047284508, 762755845, 953850588, 670219436, 62085795, 727924234, 164998958, 958751242, 811380328, 853819401, 619051158, 722616565, 355447, 1068098351, 731983449, 166902329, 159650783, 266000657, 447194605, 197861507, 302492225, 324135364, 1053105628, 804997562, 610932107, 211707692, 1053223428, 626961811, 46378158, 856527417, 223302616, 142232452, 53281760, 777415019, 451837336, 524850405, 326918311, 836075498, 252395485, 790651440, 500357492, 935408196, 1063600464, 222512900, 954386182, 747490697, 15286374, 369562988, 513434040, 955677051, 836722684, 645427119, 223978114, 907342183, 430307848, 467262821, 129000907, 701866235, 205802233, 675562551, 150326618, 1035146982, 192671990, 417581670, 588172384, 756264438, 753282159, 142886866, 64091726, 1021853479, 883222903, 568392315, 1057423338, 278592233, 1017893378, 380551306, 701197634, 506695969, 394200617, 382454014, 885072252, 837846002, 452739124, 734030799, 587972395, 333314557, 241016279, 287102762, 330531242, 708684883, 581502848, 1009677956, 587112916, 260960093, 1058710082, 209382541, 737912240, 728261046, 279625174, 202836941, 834623748, 785221696, 566897563, 806586553, 253937419, 961654336, 940430660, 914485488, 489490980, 532939358, 282289090, 765531044, 202605772, 450659040, 767862970, 1054346777, 772618331, 458007442, 275318721, 456544204, 495507153, 543566935, 1046699356, 24916641, 59385613, 1053161489, 362736923, 969747894, 1026965151, 313714635, 578359460, 872239727, 734433060, 655006963, 566570541, 151108893, 847411681, 204191426, 1041720152, 223652970, 79596605, 292170193, 727117667, 874039698, 237218527, 968137697, 672097116, 619433172, 611015050, 764237928, 253347070, 518106889, 404538362, 1039728297, 68527067, 580307198, 75755525, 536222510, 208693774, 451571786, 1030280565, 388541807, 143913995, 1003224578, 331137737, 820181178, 45103806, 34466884, 343064997, 632744179, 60087281, 134692715, 559580420, 937014714, 665106754, 845510386, 377600765, 19536194, 998513401, 747735472, 714209605, 781611229, 553938644, 494489759, 524233433, 1017851072, 267712818, 102402235, 727492237, 232520304, 882239536, 623882424, 140766650, 820833517, 207149563, 679264354, 635470859, 720291077, 1002145851, 697375538, 74780765, 107494037, 569154644, 486593243, 898372119, 162342937, 1061045318, 1051051466, 495166254, 684394266, 785272911, 903412071, 660384736, 748982798, 809829372, 106030487, 443916579, 788927216, 931826066, 20031186, 613297689, 249976758, 781063563, 591020698, 79937610, 403669659, 984384493, 831610011, 22762797, 883555690, 901405894, 360032910, 408052273, 412997960, 90263640, 779807042, 1009916319, 628865878, 937881694, 600696945, 854994658, 251957419, 512311345, 1013040400, 1029800913, 1044478438, 394961, 556666767, 570714793, 612153452, 337408667, 1039190022, 336149936, 529374203, 258290834, 1047701104, 118052685, 1052884330, 478604395, 946043297, 157836352, 490495677, 168445080, 346059063, 320755236, 597258752, 229084039, 196752980, 302324724, 558079320, 143866036, 164192153, 81625058, 976266392, 473202172, 645009388, 438175076, 340055726, 223705211, 545026577, 986706651, 61999237, 850626201, 512899779, 958181888, 358355451, 726412605, 1025635288, 348645198, 731722387, 962790089, 634133346, 26527818, 961313866, 313518651, 681368797, 430992710, 821406292, 864163295, 510004472, 526749949, 51903083, 811388804, 451210029, 527429702, 1039434689, 759043324, 473483140, 1008904145, 197479603, 393172879, 742070556, 135457587, 268114616, 511507385, 153020811, 864264622, 152652898, 960361128, 797521140, 546824296, 94881923, 777681412, 10350512, 883838830, 158881794, 872409016, 605463136, 651769077, 876428057, 509499698, 459049946, 1041814966, 219149962, 888699911, 670224073, 722971653, 1055497436, 461946967, 886496534, 186969516, 330663113, 751688796, 544874342, 887642885, 633466152, 617742228, 492941402, 472819892, 686638625, 619668562, 724021818, 769522128, 199069166, 1024883135, 1040646825, 151854210, 1004034705, 1065479040, 865924167, 652914014, 218254057, 20547001, 880406054, 734057219, 91543345, 711060029, 284014170, 129619238, 213950062, 854382936, 863690094, 947954174, 350874928, 581036024, 617425459, 270416315, 675272231, 809788362, 200870892, 574083506, 958581977, 466074742, 140058191, 326847855, 139361679, 960967074, 536887948, 848445632, 133182502, 657568031, 940670497, 970368985, 506253415, 200364595, 109862008, 388876289, 11122416, 552753241, 12463015, 885402525, 868047431, 196919128, 749690424, 820104894, 592237935, 364013969, 1039717705, 193082202, 388889285, 383983357, 1016352719, 175482125, 919378200, 1021489118, 821045298, 956458763, 940838078, 481135502, 539533531, 814823176, 639358484, 670859269, 158476268, 213544196, 1063640856, 6131084, 455686018, 515674195, 129347233, 375491650, 575686993, 313709032, 799492420, 78137406, 352428746, 856889342, 396998757, 873304705, 205625606, 313366886, 689434514, 552311509, 231889866, 614172925, 237940541, 157388582, 25071958, 31846426, 488683217, 591440998, 1053436832, 898977483, 387825339, 303074128, 36267309, 259216807, 274262928, 960789282, 88754242, 54043186, 930662694, 671597258, 229991749, 943170106, 557225473, 923790196, 681060377, 158965692, 1056943291, 50588078, 631272007, 946965195, 92901711, 832524082, 531892338, 346534149, 524823264, 341503942, 347189382, 680240733, 1021780946, 894055643, 88404248, 847970979, 972257902, 257631518, 142484654, 508516446, 991795527, 340499101, 494713837, 92055313, 92521896, 852808456, 257147709, 855696832, 36308851, 92532578, 640354776, 665552163, 501695420, 43576225, 650066992, 165384825, 947947676, 679695629, 922447144, 798189585, 629934926, 294756495, 693371845, 187694687, 74002480, 115841925, 374617822, 104711387, 971573742, 888491616, 1063004322, 905135838, 170419944, 646463864, 988520444, 151306773, 272013972, 1053431869, 330049244, 540754447, 71755111, 956699947, 711306013, 521811708, 850943607, 848628494, 861683012, 587433222, 295572748, 116178135, 951779868, 1039733341, 247736743, 985560537, 862986274, 152999313, 16470677, 1031042145, 401089979, 930647564, 902496668, 722957025, 256096772, 592255598, 98010115, 558034027, 205852138, 709552410, 386077056, 774638829, 515255887, 302451280, 176424044, 839947907, 178163059, 127642186, 814598717, 717237539, 548570110, 373859051, 282306531, 621723388, 960325, 564482968, 317498938, 447111162, 410769342, 536609704, 724167791, 517289456, 842873273, 183601128, 75045920, 86248711, 183778298, 173423291, 689125116, 924677302, 543535485, 969274424, 1061177206, 1057158670, 69509257, 562222749, 11671877, 407238609, 871218656, 1036969851, 853915819, 332283267, 369783342, 649558356, 259856158, 897212561, 682162499, 197469493, 928516336, 442830396, 910885335, 40254523, 797582670, 69239046, 205778868, 793757522, 1052036599, 261933972, 1072932821, 17739042, 694085961, 8970861, 350442339, 342192214, 647522253, 468040837, 96689106, 604563168, 1034478047, 118007093, 639544945, 900521301, 415804148, 736936031, 789431262, 620741661, 186418605, 840881904, 890077897, 1021866013, 622474598, 233280413, 940257092, 1052488930, 873668498, 119159067, 13804096, 700335321, 286948409, 176458522, 244704712, 1034310682, 114221186, 710885660, 618732269, 37838122, 579890118, 702743761, 685673981, 610619230, 827057595, 60518501, 347006838, 261970219, 763962726, 897165226, 434991807, 494449285, 166167643, 653609608, 414542083, 703488507, 981737604, 765042130, 713949674, 521859651, 640253798, 1013313998, 656111860, 796797746, 824735537] 6198)) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7, TestLabel "Test8" test8, TestLabel "Test9" test9] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimize_or_of_remaining_elements_using_operations/java_tests/Main.java b/minimize_or_of_remaining_elements_using_operations/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..edbdddd3d78fdd7b8d9379a7a3581c0e65283bc3 --- /dev/null +++ b/minimize_or_of_remaining_elements_using_operations/java_tests/Main.java @@ -0,0 +1,25 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +import java.util.ArrayList; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(3, minOrAfterOperations(new ArrayList<>(Arrays.asList(3,5,3,2,7)), 2)); +} +@Test +public void test2() { + assertEquals(2, minOrAfterOperations(new ArrayList<>(Arrays.asList(7,3,15,14,2,8)), 4)); +} +@Test +public void test3() { + assertEquals(15, minOrAfterOperations(new ArrayList<>(Arrays.asList(10,7,10,3,9,14,9,4)), 1)); +} + +} diff --git a/minimize_or_of_remaining_elements_using_operations/meta.json b/minimize_or_of_remaining_elements_using_operations/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..3709d632541925bde6dc91cc2485708e9e1067ea --- /dev/null +++ b/minimize_or_of_remaining_elements_using_operations/meta.json @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:bd49ffae055782dd0d8e0c8f0d0874961308148e31b35d761148f91669cc404e +size 11643375 diff --git a/minimize_or_of_remaining_elements_using_operations/ocaml_tests/main.ml b/minimize_or_of_remaining_elements_using_operations/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..a388f4ac1c0c473e8bb693848ca031de1df4bdb3 --- /dev/null +++ b/minimize_or_of_remaining_elements_using_operations/ocaml_tests/main.ml @@ -0,0 +1,50 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 3 (minOrAfterOperations [3;5;3;2;7] 2) + +let test2 _ = assert_equal 2 (minOrAfterOperations [7;3;15;14;2;8] 4) + +let test3 _ = assert_equal 15 (minOrAfterOperations [10;7;10;3;9;14;9;4] 1) + +let test4 _ = assert_equal 1073741823 (minOrAfterOperations [524090267; 312026048; 238093783; 305937332; 332445133; 678889095; 766430227; 907853586; 526154269; 787602279; 652231487; 599477278; 334513195; 576036332; 272672599; 917569445; 179248110; 115211167; 93032584; 496133264; 855780297; 531534974; 49905719; 900249290; 569853120; 740859117; 833224511; 455336951; 362685097; 780010552; 345300210; 888064726; 626528431; 121227462; 64416630; 332616726; 236137767; 614682954; 414750430; 471878894; 521944724; 921471261; 772474049; 155302327; 842705940; 339745555; 519885436; 520105500; 681263804; 771959697; 536287876; 594482759; 575265054; 517053607; 883295489; 237510116; 44048610; 684473107; 51072681; 434862542; 999814343; 180711256; 205743066; 1038939263; 58193189; 341137325; 383725441; 468256521; 82112489; 930414702; 171729462; 161215988; 18046645; 948199819; 897161275; 324574870; 324356740; 349437184; 295267297; 106863232; 55931821; 686762097; 711714829; 446561982; 1014161326; 204961608; 291741059; 638586217; 641026113; 658087918; 407256649; 756381801; 160256447; 713668585; 733818375; 12599931; 429624718; 392328854; 830739746; 28502010; 597851323; 290031500; 588662265; 993676391; 749856914; 1048222236; 569925986; 909246770; 890092342; 859843576; 231966559; 895467204; 179762331; 637872399; 217640004; 872181489; 751659632; 463109573; 126518327; 370666390; 757754842; 750326232; 174813562; 280610000; 953198654; 766587992; 212009609; 232102824; 723879680; 835805797; 146268757; 116922326; 544440273; 822098719; 484729568; 340244655; 165874140; 82075803; 675129355; 7405218; 128959368; 983758367; 642210801; 202482303; 821578980; 444239986; 697222710; 7022788; 701605306; 414067809; 1057969821; 914834389; 404485854; 55202543; 227733051; 918237494; 470959727; 668538750; 743940516; 305472196; 182726743; 780652111; 679402466; 823844063; 768243971; 756709234; 954510095; 250658293; 919758364; 818660895; 27119045; 8831362; 105791340; 342592293; 815891588; 254218602; 846805038; 194505754; 976154477; 91235027; 484262003; 190245936; 1011280150; 65850939; 954372198; 354144400; 336171637; 251863691; 493624647; 666534334; 382737386; 257748212; 291470385; 842150481; 612002480; 498184107; 676864926; 622779242; 713840163; 713369858; 818754550; 652057638; 952951370; 121125483; 48552072; 289817519; 934517324; 423320455; 887457203; 517490899; 994953375; 531885949; 28258115; 116515044; 1066698635; 8322820; 137404588; 944327758; 822207964; 724495147; 640835910; 273514718; 567205382; 661482033; 348153585; 724488680; 43382687; 874631462; 99642134; 134520436; 500726439; 111144734; 424455305; 606142046; 635230309; 851528253; 275836383; 479318671; 790222976; 164687204; 332654723; 762385381; 988350441; 1017139534; 757669774; 512680982; 679708750; 26700833; 440154094; 422255913; 1050603851; 31539925; 716845184; 534988722; 1014413402; 194274876; 200578837; 576063459; 371817543; 905279830; 712322069; 444552564; 139755701; 195337179; 610008459; 705646953; 842892034; 715482895; 5453392; 36159377; 633630300; 305000814; 894139870; 354629151; 524762499; 604172068; 181780919; 832664546; 563595668; 717588503; 49280406; 663399216; 1068603514; 293060651; 517809254; 1013083574; 941499989; 101714223; 328426785; 842411660; 830770046; 319611731; 322963462; 49338228; 121323750; 264591896; 835115240; 652333317; 193569845; 408777794; 751863471; 236484001; 380766026; 133344534; 701636674; 44195082; 694056104; 485219269; 82441352; 578558880; 696450510; 484502368; 16850595; 366945976; 565304534; 589120248; 741704199; 767338504; 569614474; 301032388; 710010165; 308674335; 833740968; 50497256; 1041196938; 972994274; 835138772; 1045366452; 600332460; 692505577; 371495125; 912349331; 222807989; 293432999; 894679303; 114451976; 320121257; 947329925; 285159843; 792078751; 464321589; 663796737; 503902688; 766664215; 534650696; 129138357; 139549642; 955367333; 801370561; 958191220; 238540738; 19065173; 177568979; 530979971; 156563967; 848958107; 339826093; 465240939; 73191667; 658546441; 982323920; 422708886; 359092060; 570014948; 339951426; 591756315; 330303725; 966886723; 237657780; 402540622; 38892755; 35326898; 1067523297; 106084208; 696629376; 313614985; 1060073670; 1034696223; 183058334; 269306411; 979929651; 471796054; 923620998; 509148899; 278174460; 56127964; 929384099; 478122758; 1070841228; 707590984; 893668996; 803324624; 808912419; 841972067; 727462234; 923020182; 835121340; 538364489; 1063652066; 220071672; 47234934; 25784788; 831608266; 804021130; 591294615; 129199459; 405629441; 712391310; 1028152578; 859955117; 728966301; 844549155; 782201944; 805024686; 742468057; 552125083; 736413402; 542958739; 985747208; 77950210; 816024512; 241034503; 398936238; 97013629; 373417247; 1031327540; 195553055; 929181278; 603266517; 658516098; 701406801; 846375569; 385693498; 885070280; 536717269; 656285227; 508041760; 115663473; 309662209; 829853498; 581057661; 371915502; 141343876; 37106681; 429768677; 140051579; 825919731; 715854611; 772021990; 30963942; 683322281; 190485449; 659698041; 183228301; 185091488; 1008139801; 1047066291; 102834348; 535034861; 14990317; 688336942; 452154289; 853548508; 707551717; 156483724; 887668008; 533162589; 338093450; 567476576; 265964651; 176758776; 740954139; 633363763; 828225717; 675183623; 30888434; 68461570; 297889797; 380781764; 254953785; 49109800; 821163518; 377675489; 290875577; 22654442; 436529890; 754260017; 193443918; 283381677; 238231190; 1040981968; 486198409; 771830278; 560896544; 281110044; 748847707; 801259012; 1039450159; 830061530; 353898151; 885515827; 643640224; 267491957; 943715193; 753902675; 376974059; 694139124; 64686139; 226300432; 918142962; 995633517; 648636213; 956620921; 56336308; 198465213; 429539176; 772825956; 728602315; 344502037; 544484467; 1024897728; 555001760; 962769074; 519326370; 292446415; 194965358; 199246274; 664975187; 658234311; 950431273; 1021936025; 137237175; 574420008; 353613666; 591791909; 303077282; 194895331; 900281387; 413595989; 132010670; 547792813; 314608869; 600122688; 1791059; 3305991; 394936449; 462414193; 716812125; 907458284; 956425635; 47289603; 599355733; 532781764; 295488261; 735191817; 853287327; 775331673; 1005235555; 971472184; 862976596; 84841516; 207704078; 276908004; 651317272; 787094318; 534417158; 975522208; 492521814; 406648803; 837298703; 267372933; 205133831; 45227716; 754337807; 560382590; 985613845; 901197772; 502516041; 826895251; 714107208; 618694582; 191610422; 1016598051; 911830911; 155060018; 522268181; 867597276; 297571740; 273337944; 141463906; 336106774; 830033241; 809116959; 982414633; 884173995; 150167162; 813693429; 821964053; 313500983; 540543057; 1048523918; 510696106; 847585323; 214784126; 662885103; 639998645; 394463110; 457937261; 114693067; 315753514; 127549552; 954338928; 50233395; 798538143; 783475793; 506291133; 878844008; 631037244; 100984831; 831747672; 1052601368; 208811083; 687548377; 336898447; 584403584; 830874654; 832220716; 711630016; 74631668; 1010890448; 373088752; 803079396; 8713930; 528147424; 273151000; 125978926; 44390684; 338755411; 839245338; 449786003; 49294616; 746702640; 964232697; 529008405; 376644810; 982398261; 814123756; 1054812761; 177381282; 211357595; 354667025; 89025228; 873254343; 673885420; 596994465; 397405245; 230668799; 375555736; 530150581; 392067804; 382758572; 93728017; 595040775; 254234620; 493927028; 982653482; 139725313; 480518776; 809344478; 31975642; 37332620; 346706603; 419005722; 715479514; 441443007; 232826167; 805234930; 478643672; 160660810; 531338711; 119614866; 641358003; 865954199; 443786968; 903555311; 969278263; 596402972; 570729410; 736106314; 348586094; 181979684; 379652414; 396594027; 960707627; 104054539; 18109389; 919018796; 735541607; 111814612; 517092696; 276685918; 339734950; 990783591; 622074483; 464193326; 816238814; 926540349; 359813173; 418373335; 598496443; 665999758; 105165173; 55857037; 773833891; 919230924; 177065867; 758451491; 567973219; 401441943; 73658264; 661506118; 316083924; 172913982; 403426065; 475880944; 908262287; 568892747; 600063804; 89489135; 1010517253; 539806130; 364431116; 766830208; 633225727; 378167348; 180067567; 240817847; 526596916; 617501208; 351706548; 835659222; 604554542; 241382056; 782664337; 280849253; 557757497; 258752252; 273395281; 837943768; 640775677; 980897341; 187835039; 793105601; 450375397; 532594726; 31138048; 239952940; 691729091; 26966568; 224221330; 1059370985; 66301424; 973461628; 18013629; 366605015; 917646859; 100061317; 950760905; 908077585; 461336797; 481456108; 112719471; 801965774; 585452647; 534550181; 494977584; 531196251; 971254048; 549054276; 213436046; 1065883515; 806005758; 813720121; 153504633; 419466686; 463621880; 645336785; 384625705; 433862733; 536821814; 368999430; 678293449; 378548420; 411528921; 171700410; 566107675; 603446752; 690421826; 390950902; 173317224; 193085170; 812654058; 754944507; 685589777; 1055090949; 1064984261; 945614516; 234314598; 75156121; 83253688; 167791403; 319884212; 945720896; 545772657; 149176208; 221808103; 259141803; 87487113; 15258084; 476055156; 984727085; 644414679; 474493359; 6137579; 535702558; 48797284; 953635042; 975374609; 338547898; 678486812; 893902128; 891809474; 343178908; 922130807; 289698390; 762950224; 827004571; 816022858; 710727518; 197790992; 855451303; 342171535; 783395017; 94386911; 737237001; 422986456; 691244585; 900622621; 549312374; 887038735; 891468981; 420314440; 378330534; 237476228; 643255156; 991032470; 268638503; 854292573; 1049058065; 682784585; 813189699; 449361781; 394669391; 702955520; 601583718; 751382071; 275111789; 298269656; 581627724; 782073873; 26367223; 767965179; 420118147; 309590429; 13804968; 868747849; 553781546; 1002347874; 923390296; 164476647; 1004976599; 777949161; 512506419; 626622261; 399057027; 458179177; 1015504579; 822220555; 282215357; 927328527; 56186055; 223593024; 23799787; 987275267; 657662153; 271298878; 1023461653; 882924196; 374608510; 1031143142; 444333275; 27562312; 558114191; 203178717; 909087523; 328186338; 506604905; 848072377; 25338337; 459010435; 834415346; 179569914; 205145897; 502185039; 800757626; 283341023; 639465878; 790398599; 418098740; 922954034; 808600236; 578109617; 87832988; 53365395; 715075119; 354167448; 777099209; 512284549; 94648119; 239167637; 722172054; 296996122; 65636832; 508450565; 696330758; 119370885; 634662684; 488185129; 422885621; 539595220; 1058148713; 506820518; 809747363; 1013935339; 534840602; 418461036; 1926925; 352783719; 805116918; 83797089; 119784518; 859467441; 545311074; 270267341; 299167921; 837707290; 355944583; 729269626; 101003143; 485473080; 386164259; 171078352; 565105431; 834851193; 1031936268; 668575575; 457387566; 106862462; 135392720; 721550830; 727187529; 457635222; 230187821; 30423279; 238911098; 736143576; 1071097917; 881057270; 213024209; 683142027; 301711033; 666677753; 156602308; 967154586; 448903161; 1058957065; 314005010; 289682917; 54140816; 389505435; 297859297; 887618108; 700367943; 410803607; 241427945; 18811521; 106840963; 916628524; 192992633; 134145192; 608232210; 625065514; 1041103565; 786549865; 919578922; 645871616; 574782220; 765016303; 825862432; 610283770; 918976781; 786954808; 674532644; 770057495; 207331131; 77695545; 875992506; 459135728; 204140341; 953438273; 518728607; 542706851; 298753489; 311410957; 342115557; 329757559; 210139568; 900355533; 485509972; 372477664; 512875264; 280587065; 16598133; 58237189; 505748091; 208669315; 1033140823; 905162784; 841221025; 43719931; 571267058; 755337357; 444128052; 454009072; 594379606; 456958562; 763730397; 385014747; 235395045; 1030463061; 521714987; 779487818; 53900302; 291686141; 124337799; 34787953; 170456676; 194317911; 173908365; 517384070; 145190911; 70467095; 1046035743; 345421144; 222394177; 769216511; 739178509; 250827182; 402674617; 184249604; 479809725; 1047135167; 291022609; 485033015; 571048638; 296190848; 884180412; 116996224; 530800279; 456287710; 495549331; 711597617; 537647503; 100758210; 333820316; 233129983; 825440026; 704333658; 142671401; 815428350; 780366226; 999803625; 891090317; 324327276; 787254148; 347486913; 604234227; 971484504; 1072752032; 467685701; 907903918; 255700277; 133231965; 704958472; 338332331; 36208029; 920808229; 9313569; 1017202169; 247242462; 381237428; 215133408; 1019420114; 1052245512; 570757377; 152954585; 976955925; 685942414; 681221778; 883232761; 195710736; 162931352; 382849227; 361136169; 566104664; 202398654; 51974076; 1064569090; 409658548; 592426440; 397238950; 1006902159; 573552883; 615030537; 680801444; 1010850690; 60468348; 710746610; 806344604; 133572909; 299380856; 13481307; 3517770; 1037534669; 1051379164; 150378767; 852129801; 187112925; 134261079; 384926272; 919180444; 529725853; 292420695; 447377005; 953712672; 1036380247; 109509539; 1049095929; 835001772; 155792085; 826128632; 607132937; 554303669; 801958871; 1013676106; 74748012; 502679986; 808514326; 771188722; 768942397; 484794617; 926595982; 150552643; 722870830; 921509433; 349622380; 983411098; 748188129; 225569229; 113214468; 796856238; 290959120; 974049322; 115373420; 642706203; 141610609; 589024153; 899560397; 639619135; 455194792; 1035634355; 33196390; 1037950938; 33354213; 184838978; 417868290; 755957617; 200362758; 592570346; 762645982; 905204536; 338907791; 700931917; 885707502; 450118032; 505403280; 265633208; 714770236; 224611494; 671252281; 210865431; 356847865; 998394009; 630740913; 106105907; 506646768; 650117781; 845536127; 1019925131; 852416587; 207102872; 749935348; 599906054; 976387798; 138374376; 897143974; 456312810; 210622622; 887725060; 118127556; 1028175793; 32494357; 783866850; 555229930; 786674829; 842749155; 330350299; 685740270; 1028130555; 946121811; 613595979; 41889150; 856685110; 636307933; 761561501; 386545562; 344256656; 462241826; 420409467; 925877016; 805503170; 723019696; 750630901; 1038411894; 906001083; 675639639; 1071253996; 115195225; 755218796; 901859031; 714655217; 506093322; 174568344; 116030451; 929265573; 584338499; 210365247; 965167463; 282378893; 782196273; 363709220; 522672607; 326986006; 868723913; 527363342; 916149468; 678517589; 328922158; 932321966; 277316840; 828463302; 812047436; 843976275; 775943146; 138146996; 78825856; 180106535; 1006214882; 706919986; 848346419; 464661063; 789092456; 827537310; 771491273; 428958770; 875598880; 562011939; 558911117; 756072922; 403947459; 72479719; 152063510; 898891287; 589468143; 441292357; 1007257260; 861628099; 776815784; 131268842; 727782719; 364777070; 448042043; 783315437; 90672570; 326250336; 805377958; 1061382030; 597429845; 671290229; 832987089; 732143037; 862033173; 158354295; 228489332; 361057369; 580217103; 204758633; 136548670; 744849748; 713370925; 550280272; 364745069; 412616520; 922092012; 576344089; 266741590; 294017912; 645165026; 497375170; 322397781; 592110024; 259727000; 4361521; 1022736790; 15771169; 836138460; 17614875; 703007937; 77694368; 1045166579; 955029599; 871507899; 988227220; 951182541; 1071606248; 943561742; 876282780; 921137712; 236438413; 214428506; 648204237; 1053513547; 372121579; 998013139; 982406706; 1006549197; 487437877; 857898497; 363113089; 619114263; 251829393; 659094149; 755617893; 934523634; 28168200; 73132764; 816461664; 706376783; 912510908; 878638251; 23916583; 907464547; 76073212; 106143910; 157230799; 1040229573; 127119223; 402395290; 268721603; 702003434; 133374642; 167098403; 597775497; 678346167; 302267961; 673087449; 579860216; 372642133; 805117748; 612295263; 932098979; 895285086; 983566925; 760248919; 1069817686; 592405689; 665052297; 694649271; 171990152; 862372872; 799626401; 889223014; 927181246; 703528251; 936001778; 974530228; 930581389; 2696788; 159797650; 598778012; 534834083; 595786785; 969567768; 136435505; 530056978; 447242342; 734178233; 180432863; 682045361; 887501191; 428179274; 292805049; 499056626; 336371155; 458048767; 849572455; 25448602; 503085644; 39487694; 142078112; 45780628; 391053279; 419389539; 550859355; 539272016; 319547620; 94360505; 176598659; 926979734; 271375151; 717285956; 973219095; 1002738703; 792807091; 968671279; 535073112; 677368177; 658717029; 435455481; 445980983; 108875424; 453635267; 270118193; 43603659; 818455653; 206461214; 33773819; 944623080; 429153143; 664435462; 551920717; 1016444755; 458588044; 924862898; 471651639; 785591988; 762588172; 840955825; 43871043; 886121623; 84964634; 753509544; 23466322; 35809862; 291767274; 277718802; 721803952; 920763681; 333901468; 856980438; 7594163; 229896934; 480217866; 558157209; 513935441; 788778394; 788919490; 657667463; 553613470; 484539408; 657751368; 1027370850; 1052337697; 991473717; 846449078; 343351363; 43611630; 993600566; 325433339; 955345647; 584876973; 135608817; 939153831; 35106773; 967662264; 145442295; 998936304; 577657138; 928201364; 565625993; 148826063; 224826185; 876298194; 645448560; 692279996; 215641521; 545526972; 477242246; 609036185; 317598484; 802420693; 638995235; 256311248; 480598535; 1015447432; 932288554; 1040254643; 565235990; 311847399; 128745544; 393103014; 721914646; 993206269; 777961162; 774420652; 284807704; 266886936; 507105530; 12470748; 536765480; 439437398; 70124835; 744546657; 606648397; 36594212; 644672230; 497530244; 250151542; 929680452; 43471168; 743786752; 853564635; 34665399; 332537429; 217659958; 159144053; 1002287722; 90373922; 904487494; 96987526; 796481611; 534685123; 637245768; 829839804; 438641241; 50026026; 706509865; 872729076; 236985341; 222635843; 349058791; 418778479; 379265639; 291570719; 68655134; 915694908; 761342328; 518795296; 41660235; 270099615; 938892708; 684030620; 412385457; 838436063; 895739844; 606849231; 495643362; 931801373; 837151898; 559896205; 775556123; 5546835; 92488786; 905783; 375663078; 354438116; 871722368; 145989914; 919498553; 590306012; 619295153; 1007033457; 1031170961; 480713224; 173890535; 344873728; 711893910; 938558957; 653694719; 232231904; 838297675; 609449765; 917400060; 561479107; 208783292; 662064986; 762105366; 1016936260; 952416766; 1040267881; 18958246; 834362888; 428852519; 531437662; 439173076; 1052277824; 10302573; 63107164; 607580733; 1052051522; 166185131; 435367840; 516939337; 1053048161; 164509812; 691940420; 537847763; 166516960; 653634212; 504066491; 325605260; 534631772; 646604816; 683633264; 966363397; 8143525; 508161882; 134244299; 707741062; 942840794; 821907527; 1003342786; 216518257; 325549349; 981998924; 281833411; 807165331; 886130372; 884272248; 620881594; 512941457; 70318584; 505313098; 590426954; 223767836; 446568043; 417038728; 77538267; 735161218; 975126722; 996077956; 49935313; 60297066; 830502108; 245035563; 799707860; 184564453; 708141583; 27798055; 927330558; 778522896; 425145192; 717612342; 80059691; 612223035; 863205377; 715458913; 223734359; 274846260; 294422032; 551818222; 345949270; 156490858; 873509848; 758768839; 603629293; 50197176; 271372882; 711814093; 319145973; 640468358; 632926874; 59773073; 735505981; 269261719; 659453014; 374063225; 452343097; 99741817; 186663966; 416433800; 959295035; 819717032; 880713836; 801501575; 761561745; 212381961; 970206606; 742620117; 683060379; 967780176; 699804530; 1012012101; 794940911; 775246413; 929715462; 320155395; 711469480; 32137909; 833461346; 518397384; 617575012; 796374461; 265017371; 91057595; 107148586; 896464321; 539926627; 123344542; 109836006; 383889747; 219125775; 750711205; 236643188; 108395901; 887796185; 178932214; 162726574; 1020411850; 668446482; 798767000; 548996526; 851415476; 557820452; 529371625; 416004096; 1001281346; 448820802; 577802448; 1073137962; 296409954; 314705779; 525575664; 984472125; 170207964; 671334674; 421525417; 169160561; 682843872; 889895775; 786236; 693671763; 892543212; 813844201; 159503586; 110286113; 326764099; 194614420; 351935395; 279730914; 412673024; 836518108; 497895494; 263710619; 200411603; 906156448; 130985949; 150283061; 292080802; 632740665; 241606525; 1020258838; 266733065; 1027450765; 422057588; 903491029; 53281922; 433848770; 541111736; 759391302; 990635893; 1024368902; 803066812; 307207869; 912702511; 106943549; 75736412; 815501553; 998722314; 355735104; 992757564; 515819493; 847178691; 869986198; 909034482; 328545775; 513479136; 257716785; 680754573; 278547877; 500552585; 1021787252; 656638175; 781712342; 847572354; 919646399; 241346006; 539389993; 532694929; 396104834; 1024228348; 940467009; 671161705; 665640384; 382190731; 580434425; 12407200; 265645449; 1072145412; 57083040; 352965723; 896639233; 987077341; 966176770; 222691469; 350992712; 851108609; 878654204; 465443932; 654347075; 683731752; 673803355; 163965330; 544416754; 692468557; 576341057; 242437230; 231107478; 284505609; 247754048; 78886255; 801734266; 377918829; 649109182; 458728210; 683917665; 459034549; 824148026; 481545522; 600630369; 9587573; 948659808; 645882764; 1011276122; 1023727270; 739958790; 405550563; 493260648; 504470601; 228602250; 62559097; 441076125; 904581516; 845255725; 417066153; 1004766891; 596596310; 720132112; 27858197; 572742342; 581536947; 33643770; 847838233; 72326859; 183651314; 274566943; 732149112; 594546162; 989060948; 374917569; 296539980; 258281211; 1057493460; 120521796; 648560960; 253034840; 344692333; 513109985; 196068948; 863491488; 237609545; 727105900; 1067273741; 416539780; 555119363; 983486362; 755363679; 166773701; 327501880; 329171802; 276192001; 704770805; 875056165; 853070922; 108782913; 342494811; 473927359; 413032478; 943573287; 776299720; 321254582; 880728820; 457840666; 679583175; 380843167; 942846187; 703773130; 213673010; 33098686; 357468551; 1026008330; 328795538; 626254112; 909382898; 111991741; 902326175; 342417869; 609659006; 106510968; 45364883; 651003366; 281355070; 594187627; 278364647; 184464316; 187201019; 1032339347; 370459961; 204122375; 719265004; 149814259; 921750533; 15450399; 109526525; 405019511; 46734402; 354503533; 930352655; 1066215984; 470504961; 364213130; 719085633; 342000476; 266350654; 787056151; 1060314798; 534005591; 102253947; 365614573; 577943389; 123211770; 166268691; 258500163; 53866902; 574795435; 1022939458; 521010063; 1035122158; 223665413; 429925896; 604892312; 732859896; 35851383; 170595866; 488549418; 314622047; 526492792; 782612094; 537426709; 721838206; 623806058; 808262522; 149566521; 165189255; 903404682; 635756991; 537196760; 266987691; 884436941; 742719767; 873709979; 484880529; 1013694745; 289634883; 189619359; 549697992; 206440037; 514761359; 778636577; 243141078; 604405136; 1068107400; 271114835; 796715144; 20155238; 917017583; 771654305; 715921984; 552261206; 78646574; 1054920825; 198730091; 309694443; 113594789; 248052480; 900833559; 139988755; 872174346; 827039449; 95370281; 350020118; 928086083; 596245840; 844663880; 642487543; 150069550; 341510335; 764443471; 185636360; 220880687; 92105336; 934064473; 844602367; 317368946; 332679393; 733896692; 32890827; 677629303; 49011132; 784354494; 86841133; 120757253; 735669703; 830215381; 910714388; 309043829; 831946222; 408582054; 451110953; 390508349; 638738453; 852435136; 457460545; 913638982; 748454640; 300317776; 1042941226; 184251733; 692414572; 935077733; 752778561; 576905377; 530500687; 90377798; 682538060; 927568593; 882523530; 933779999; 498956053; 392254912; 1037864959; 867590843; 113612570; 704059520; 562183442; 638584205; 418280550; 273498877; 281712644; 44725384; 166954497; 760455912; 32400347; 844790990; 64644606; 692179273; 166481926; 877526522; 153367661; 279102045; 896801709; 322730921; 612720707; 223842686; 762485526; 602405669; 669411044; 947310304; 407796464; 642509773; 1052172054; 887352737; 646275363; 415746386; 565585839; 377701032; 114600712; 717441915; 318745638; 136415733; 163580107; 644928283; 163804670; 470944085; 879466543; 212632339; 860960979; 1009540162; 446609509; 200669542; 13332672; 923755342; 362139650; 460898527; 336920104; 468228042; 477596551; 904706878; 34501124; 809233007; 51877026; 525168908; 190170379; 17468395; 478980493; 534856948; 997314876; 354950200; 501063042; 199303055; 109324769; 831382566; 612491000; 351638979; 412709881; 405896136; 465500856; 155643225; 209072113; 471508081; 836214730; 778395715; 225769519; 739445157; 932348524; 592938119; 96337921; 582600945; 995308788; 575981036; 238426371; 11058411; 327703323; 711560310; 55337111; 265847186; 35110959; 1062076376; 606271944; 878235448; 150267950; 453667014; 597400362; 505922147; 417937699; 841317498; 704208986; 237888441; 755163602; 10301707; 737476596; 239311980; 555403024; 624405528; 989560291; 305213871; 125276377; 610905728; 200734036; 663284152; 411762837; 280682360; 692981372; 758391837; 123522929; 491687338; 949309120; 501698152; 892940219; 1041155317; 911231113; 1019282115; 4780466; 860826278; 1025143445; 996370534; 169344673; 575360243; 269295135; 963347771; 87779680; 419735429; 93653371; 114278358; 376535854; 652554497; 524446859; 278641608; 173032047; 916337048; 753565136; 733100705; 267771861; 469902596; 96754607; 547713656; 742176183; 1025866153; 28509349; 600273283; 565754446; 676789164; 957434786; 202583753; 72047464; 333710915; 665505699; 177347107; 919504208; 301776566; 806263685; 525303181; 910647044; 761927635; 969083137; 347485014; 174674990; 233549350; 551763089; 90424623; 124713836; 757270587; 171304734; 391970179; 669248359; 1033236574; 430878697; 482845908; 471616795; 26905921; 885902180; 769812101; 941921971; 934651529; 543787469; 730802374; 114854984; 427882648; 849545139; 1011009843; 964262374; 475500741; 176889237; 1034944792; 86445603; 133902493; 933280866; 833465448; 961809673; 329229372; 632779191; 109579664; 452278514; 257160433; 420078738; 701986737; 765221476; 22174933; 422535670; 814180731; 655879235; 135278953; 835041723; 67868804; 216788046; 686857959; 914469300; 625712475; 205240898; 103424978; 872361544; 135047097; 1000970971; 124066913; 531062610; 608969773; 874773900; 749376803; 724862350; 640625306; 1057650166; 564134489; 386700075; 848974830; 162024239; 188509059; 176802103; 653034098; 220425134; 880050151; 860696117; 222347098; 1059449759; 799599372; 823327879; 450416770; 324192278; 174936747; 499792338; 891255315; 379252512; 770810171; 1051619971; 161632597; 518431638; 55991230; 371180607; 738633290; 930385816; 27694826; 659890289; 322094626; 610907315; 703292077; 923035323; 99353053; 423367149; 627211476; 123261903; 863610309; 263830033; 989235189; 265723791; 123479357; 528570855; 173275910; 300685684; 921864857; 108341052; 396552630; 674513912; 256262141; 838986257; 667993059; 800085797; 788848748; 644229078; 76984201; 362750181; 915312463; 406324156; 53352833; 421538580; 407981089; 391839174; 262698648; 913106306; 939877682; 704193113; 939781646; 268299252; 50144149; 664283896; 920158123; 794397896; 415746719; 501836918; 845085601; 114376782; 771429076; 98069740; 1018672047; 425380180; 745015335; 620535828; 122053014; 579007860; 153250778; 567292728; 909224753; 179858001; 1026542486; 605891073; 542662865; 1001938969; 938125930; 899283402; 680005617; 349883448; 817378021; 760451874; 163567429; 813836826; 177162321; 403876822; 1063451375; 415273088; 841982241; 634148580; 625466290; 556355453; 855237778; 1061186151; 567302381; 179204259; 591951518; 238722049; 725169467; 911714517; 689529328; 1003997749; 825476298; 767505585; 392480061; 901932502; 1057071382; 811255116; 910183478; 520186940; 385816457; 192201960; 595797706; 75349671; 203910057; 903922064; 537510302; 1042833649; 927751397; 99524900; 778519089; 852432556; 702202148; 166778240; 683278060; 918837285; 255520867; 392670529; 374355008; 835031268; 290525331; 748951212; 995622749; 939968943; 162230572; 406781841; 899756607; 983192418; 878557237; 336276935; 1044413736; 18228772; 651363429; 1008148591; 1037779459; 808655691; 294096753; 487825138; 870987559; 220991913; 8916417; 311383475; 714608332; 423388904; 103145574; 385628312; 942974419; 270278218; 132208883; 1072922153; 590359672; 863314533; 1022957351; 500926495; 273817018; 674047269; 793948505; 624355179; 911246165; 21321865; 844485983; 996786409; 45138615; 337026578; 995263156; 823063506; 531858662; 991119556; 560651550; 967777466; 630015071; 822686318; 836230690; 953839023; 869103686; 101472123; 903818135; 692430398; 864771072; 551157039; 974460896; 1041234619; 690614369; 794105410; 1034405436; 547958046; 764536867; 301666258; 761552632; 643731826; 26898501; 143121535; 859426340; 1058040137; 258054528; 147506653; 873438110; 128147755; 310562164; 966894199; 924091712; 701329848; 732432552; 284715349; 556379237; 14719111; 918168363; 38726417; 300209241; 726881965; 1023174912; 1007286373; 794447680; 415359488; 990957529; 721813645; 681491905; 195697408; 721676550; 757383449; 718832886; 103869775; 98179096; 577757307; 822070481; 923395478; 204050299; 802694774; 113570160; 491900758; 704538507; 621026472; 83491372; 276395894; 497009159; 903396369; 258761703; 513985931; 577518959; 1029812490; 433722404; 881249824; 186316440; 972279632; 340635566; 518134460; 18815675; 233411846; 269002373; 326910572; 541315800; 217784595; 931789984; 438544540; 490526455; 198814321; 130890174; 773867813; 100565141; 1032716258; 612273915; 1045033102; 336514145; 483018217; 111699482; 875786331; 314962235; 620137336; 838564201; 823228570; 476442383; 261064987; 231188078; 645501010; 265948241; 701333060; 999442881; 662620110; 961474677; 668539349; 973592564; 755688263; 818034956; 608531016; 655244463; 71007047; 594650734; 958162122; 570952051; 411886739; 782764269; 507725385; 148947408; 647985823; 108853796; 240456525; 212915268; 757742466; 905956239; 245055507; 968865534; 669841128; 850751337; 233549383; 771234412; 463780203; 958746726; 205650008; 389526551; 1046978480; 689357092; 606391268; 269088727; 337530752; 748469582; 101359941; 797238082; 1068302529; 17531; 49340419; 294442892; 754049934; 732176558; 583466480; 581129587; 49399686; 234648152; 1061740162; 875155428; 868609265; 505824668; 92086537; 936885195; 448271590; 252045510; 158752759; 161588485; 750388445; 74873002; 228961422; 509018237; 427293399; 989574777; 240275431; 102061856; 20357175; 372101144; 1070106446; 246529937; 380286079; 76107763; 285504048; 45615241; 622899159; 256373331; 931753146; 928372083; 393920675; 727296294; 237227921; 266372206; 142810464; 729357274; 195517555; 205887541; 506400135; 294138421; 323736394; 402378794; 978050648; 31700502; 831433433; 187617063; 240536443; 336637763; 657539856; 368319514; 920626234; 97506816; 581330755; 803585762; 841938153; 577744357; 966620381; 460927650; 375824740; 143278945; 772817162; 890780964; 561227907; 981363250; 231602897; 241219104; 492298957; 897029536; 235767017; 42057694; 765750928; 677752653; 661242929; 1046746657; 891268165; 965483242; 822903521; 432579198; 720446027; 127149584; 987852890; 807002580; 985797847; 684318813; 137993974; 63923790; 271570131; 117120799; 668488591; 386953721; 636308812; 339651386; 90001944; 888867995; 930203903; 261094838; 601287089; 176149061; 743396463; 1030783051; 219876510; 707417161; 940549890; 160999127; 426276004; 558358906; 51315185; 846491395; 651397486; 722043564; 225163958; 36836235; 446853677; 826989046; 304382799; 133532201; 1021350366; 29932223; 522967203; 345248101; 265532737; 953475741; 174113362; 515348617; 1061798133; 387938195; 944690610; 702584790; 528174614; 778825104; 1005262374; 919282228; 696514144; 570303747; 1052665701; 1004774214; 631067657; 950174940; 785085852; 97572277; 1066850739; 1058483442; 561128666; 403282719; 393469341; 690339490; 973583186; 862580479; 1041778207; 1018745129; 201353575; 242225645; 1053346435; 1030786448; 785879837; 69006903; 770180798; 319810206; 197249572; 92728839; 384436428; 384881635; 549856251; 612116115; 998513243; 216873999; 8287980; 178698344; 881401747; 1035230687; 429953767; 77894327; 280381024; 866655006; 744949514; 146379368; 627606756; 747432775; 600315066; 933447433; 36565859; 688887219; 964279697; 257701191; 817694817; 97336559; 1062538804; 461956252; 747000141; 877736072; 666117057; 340499182; 53980318; 832128276; 944513995; 639549190; 208251582; 769361788; 1042403811; 433449807; 680040086; 100872537; 474592911; 584656522; 452920356; 491819943; 1021336419; 167766120; 460393577; 190725792; 887504377; 298610833; 638562247; 757795097; 328508288; 603287017; 743055233; 940883200; 774426973; 771673837; 47998712; 351989031; 103694389; 115377230; 821212188; 1033057388; 41059185; 354524229; 791817312; 1067917064; 131081599; 732150799; 321612793; 169106485; 730866809; 59876930; 181787815; 178456494; 1005401129; 912447153; 182307011; 684329887; 1047871039; 278739577; 331192184; 694009625; 686332716; 216548195; 133129611; 623792972; 603718843; 27988037; 877971834; 528015642; 809747287; 622170422; 354295624; 646019814; 856954389; 631094284; 747800876; 743386887; 195316887; 432403006; 41036234; 130675708; 748731707; 404379480; 365607596; 391180163; 796297211; 626546438; 254235250; 226335640; 997795921; 863062962; 452569335; 213648079; 204060039; 111674429; 219685091; 985119097; 587898026; 675193730; 678282200; 107482724; 529890363; 669825397; 830755692; 477568384; 535325478; 350733945; 594509491; 538827934; 292863721; 524173496; 124514593; 684835220; 436017499; 200915767; 370981220; 498921893; 16222200; 45324345; 266505771; 589369168; 512779924; 82469523; 159112796; 754218717; 648566399; 461558265; 304155412; 174884377; 215270907; 39202561; 715562600; 172881227; 393507960; 537238038; 371129331; 844332125; 712721444; 586650185; 260790548; 903819820; 787953734; 1053193081; 504426267; 167130533; 810248555; 64018193; 263174107; 563018182; 694882427; 711171991; 346672183; 303315835; 925936120; 1026568283; 618958684; 340215632; 529693642; 844648395; 449074959; 547294945; 426270002; 309178930; 301963608; 333568162; 17636010; 352566489; 567402404; 641009201; 48082415; 240932984; 207842411; 326196744; 834467725; 106268869; 786372811; 823177307; 471469659; 31211253; 514002876; 862973842; 794249803; 218804188; 304267901; 1029717632; 615447936; 365043242; 500858891; 41441860; 36202063; 110482534; 998820577; 839939036; 610925920; 235323831; 553740228; 990780133; 525380738; 377270246; 360497588; 476015250; 1035791076; 576513931; 907293155; 1053862775; 842376023; 806243073; 128733087; 872102216; 889771375; 896862867; 362387684; 326252179; 700846694; 372658334; 1026717065; 500447531; 10083675; 587135643; 391116001; 54879382; 61126194; 957522764; 621715390; 758130571; 780945231; 915149112; 324377758; 20908778; 860112583; 712230849; 551839436; 455056128; 509669013; 440520305; 940495441; 662848838; 176437245; 296415268; 543774669; 264215885; 798218785; 1067247974; 411232646; 748466111; 867688481; 648070937; 217216380; 882306167; 335951350; 669001374; 79654391; 519045778; 1053621199; 116189962; 158165023; 414201044; 86652621; 721029436; 216853133; 353852749; 935776493; 677678304; 23369388; 210391551; 25022562; 531976331; 611572215; 991534468; 41086119; 750046585; 717971549; 98076603; 490698376; 72354232; 511352126; 572926047; 244596578; 391990159; 793668444; 814166363; 506376336; 600550878; 368721982; 849989780; 492375988; 610039332; 370634144; 101039534; 310459146; 394504428; 282434276; 1050715825; 1069724901; 297607498; 28522549; 644814431; 206406307; 596458313; 946319867; 560861367; 695048883; 921928587; 379991140; 718023805; 1066525510; 128957731; 405970357; 615609740; 739237960; 80620228; 58048813; 199551044; 441287477; 1001907373; 536539065; 478185494; 109054317; 1034695377; 1028696234; 23582463; 111359568; 119665684; 199301902; 579120808; 674869805; 341858018; 516548522; 894450967; 522631992; 1003124789; 105848206; 412878005; 906428150; 653685402; 655196919; 91329171; 465395165; 987316063; 1027862973; 829585829; 746566654; 866860500; 445460072; 1066008730; 87010138; 220127009; 545774383; 703002727; 720258873; 565749599; 317814843; 175235414; 389884726; 889299105; 54117382; 131116229; 986232411; 920829305; 27913393; 377404208; 1067196042; 790364482; 232584086; 685560837; 707414156; 251587728; 103220769; 820477492; 53759249; 682655117; 677025747; 845289939; 53911174; 650541393; 839217776; 41389763; 162884043; 467551449; 492792112; 866579400; 235104588; 389933865; 946246051; 534397769; 866201323; 233887223; 781357369; 351926957; 1015506698; 276227461; 372191233; 1013891119; 363176389; 301047808; 435796891; 809434095; 852628274; 982514523; 33368698; 564746020; 630757562; 52740812; 11466566; 86940235; 629083207; 30549324; 551678489; 224889461; 858077283; 308151083; 736693249; 83652144; 367734829; 1054630789; 101801748; 861335456; 553257304; 659822521; 504715886; 889680931; 133261958; 872471307; 874251543; 398333516; 251524158; 836745783; 264891583; 417012250; 1017982553; 813617772; 1062181173; 379410033; 321283312; 592466360; 621384136; 607999553; 1067060904; 495512971; 206574067; 92921252; 605283163; 597946505; 116949529; 966871398; 152896476; 591619526; 917559488; 1007999575; 898913094; 201526572; 190403519; 170540480; 655106259; 87606301; 1053822571; 560018783; 844940352; 475329824; 691021177; 402304367; 612772871; 463588907; 326481935; 677858564; 445459861; 255055535; 102871307; 626091547; 941491687; 35479742; 1018915812; 6151476; 303626657; 919341550; 354622323; 461028769; 802486104; 260733058; 743095534; 831214275; 893860434; 1063799422; 629124960; 598347433; 1015237349; 746704752; 665025326; 6602492; 508111434; 967414975; 697468108; 428859905; 831737075; 392935106; 240388034; 651512757; 26817991; 277684297; 825814925; 224021219; 612111785; 325126363; 184332525; 261253676; 80976231; 38657276; 785112225; 174347450; 319276391; 417807040; 568820993; 280525355; 847244955; 620227915; 428125939; 121321298; 86624809; 106633643; 967442058; 137749006; 726890000; 100819722; 80015512; 778167248; 393456498; 446561116; 117291220; 143395782; 777189485; 580931901; 290997958; 388843843; 461880388; 253951732; 148646991; 975318690; 330268930; 671128989; 176875760; 707888246; 702115697; 323854232; 315447760; 522096994; 83689945; 675168870; 121243876; 348510287; 87830393; 170583979; 1064269888; 355335191; 624602004; 9708875; 993050980; 867418014; 234771879; 223769088; 614128351; 233583310; 7057281; 198306204; 548761036; 245187005; 1018792170; 500613235; 343290865; 388740728; 650221540; 346347858; 307476236; 425696313; 702513493; 366937118; 319429798; 480745829; 838121383; 648899275; 661751082; 51059790; 817508405; 355837251; 361799859; 797773287; 926760281; 638177057; 999599143; 318575112; 866663458; 64431502; 668804523; 628903110; 564280421; 851735178; 218921481; 1019045622; 1051260019; 809735716; 613536768; 496646055; 346431505; 677693702; 883188519; 913433289; 521446561; 561060439; 299849892; 706022513; 909591625; 867207595; 782739008; 507873127; 17477479; 905948822; 293064406; 960038309; 532017737; 5238690; 5452038; 889737252; 794778831; 252056435; 311950857; 903681464; 650232685; 509440728; 125049700; 1009217974; 453575211; 16360419; 800982405; 862840674; 869945689; 1011588177; 832094851; 331335331; 235813727; 295789135; 627749847; 575848695; 708801640; 815993675; 81106648; 380967524; 174098297; 265167706; 608758491; 671569646; 851550217; 538973235; 381518908; 511687520; 866804066; 185533251; 200529030; 483228542; 87501137; 444083645; 218415970; 712316430; 514984347; 56095302; 312636703; 908771312; 569766811; 5372197; 924879501; 394160378; 979672419; 612124168; 309798171; 1045373382; 517277464; 398501394; 679988684; 112142280; 966695157; 991814389; 657586222; 593582242; 293077894; 334410358; 257034463; 390382617; 418329826; 688566660; 372362121; 983404475; 558196218; 971944743; 177924218; 673004419; 918245354; 427705539; 401085400; 148086414; 497391751; 658183169; 757189695; 833941499; 528585011; 1034447023; 442152471; 767508554; 513902810; 927251134; 774290114; 226789797; 1002590287; 829763828; 145495746; 97899899; 820327511; 633206244; 265239237; 89988147; 902392734; 86068233; 649108456; 177251983; 342341522; 415729576; 87893539; 18649924; 819466110; 178354885; 668330220; 513651982; 512976339; 618982659; 243570882; 210356741; 200720509; 76377830; 970476583; 740682623; 811160285; 268061578; 288151239; 471424915; 693410215; 702422219; 557377751; 566121204; 611242003; 249619544; 846134210; 818142038; 770208026; 62759749; 232752090; 344951322; 1011372202; 202366382; 107069502; 244084371; 128674513; 730803790; 22670629; 292713574; 381785605; 839818795; 1002002922; 785779899; 781691437; 792981597; 986778236; 429124282; 414905059; 761791767; 428836115; 979708106; 108647999; 307611448; 509165466; 283499403; 10150709; 1024727258; 540523114; 939262084; 664860063; 903339591; 1003326880; 743615503; 132649563; 859352689; 628726389; 525873608; 37923316; 1027331076; 987615471; 436346181; 674604730; 1001954105; 689111432; 366599608; 452037167; 249709539; 728316573; 582079213; 1025770193; 433262823; 389671449; 69185483; 1000358331; 70114535; 578055497; 225000233; 2867820; 316342555; 950902918; 895867936; 749165541; 197498699; 270531943; 96115468; 904070957; 1034251708; 397659927; 932236308; 693898714; 589546056; 5967840; 783384076; 493010488; 918186536; 227451232; 1021566252; 851190991; 200723209; 468207480; 783301177; 951339610; 450734691; 882642874; 777173256; 799465522; 467556995; 182273528; 636923116; 402423731; 945241731; 957996095; 401885138; 628240471; 275326821; 521110088; 126214067; 511780228; 553094614; 744060991; 954528272; 758113942; 430564447; 628099436; 151544127; 323838863; 43025612; 361802278; 237015835; 905744566; 496134528; 56348176; 379510221; 983704700; 304376797; 384929367; 607548837; 803764723; 228365524; 481563956; 764540654; 981834419; 894701344; 444018556; 868086186; 380945748; 450633355; 902328819; 449779580; 762020708; 1060999390; 391723721; 356085370; 368411152; 496527010; 1064792535; 998943924; 164144270; 98330094; 728130323; 317342891; 937606275; 995306186; 597522725; 1053108988; 904889331; 213252512; 117281021; 428787894; 662795167; 177060836; 523733207; 870995636; 950961609; 851993315; 125455734; 81675396; 643529766; 652389891; 982993835; 742093594; 732560274; 984586469; 747834195; 315010709; 803660437; 941550471; 1017571440; 321331832; 477099244; 197602657; 172760478; 1017814144; 747217731; 524267869; 658002568; 283395464; 402328154; 746272602; 715931648; 299665508; 924760256; 957347132; 244555141; 3794213; 35878667; 834634807; 581564316; 952891292; 62100845; 506939148; 186363306; 340751375; 699692566; 129283135; 420705224; 281113777; 378367364; 709588818; 940232824; 612560912; 884227451; 289088991; 296674949; 403852038; 1024996008; 185657292; 609048766; 255272158; 186986372; 243574357; 470378750; 564329416; 155190529; 651542511; 576135757; 894761378; 331832352; 356023433; 657846679; 751182954; 854515039; 238111029; 963280373; 114332401; 787045787; 435043138; 915299017; 464432908; 147083893; 584711737; 788262080; 341564298; 623556688; 10696823; 272175324; 700793269; 9444737; 285419603; 288133166; 1036529717; 718256380; 1029886321; 674118260; 855574135; 305790912; 378853983; 637116203; 307243781; 419587358; 152014027; 923428999; 913115600; 567439061; 972743807; 594848262; 969196136; 746065645; 928377688; 582493170; 989191750; 383635953; 781787894; 1023929465; 532170640; 691090296; 987211877; 137340528; 545867361; 33855451; 229841265; 564906939; 227203856; 240039369; 237904174; 113981728; 468518399; 672112074; 274105444; 350770539; 420514463; 666692056; 490472900; 148878997; 832427789; 85696374; 40206257; 92216680; 789751409; 969212656; 974791273; 646624517; 854639613; 270165647; 1024393136; 519709538; 992810716; 842704243; 801789102; 746295564; 698533852; 982651894; 489356924; 1030350525; 829726701; 880957429; 8892795; 219058482; 647225753; 830349401; 434900306; 406259022; 97746814; 529463146; 744946697; 364365796; 320331036; 642419168; 31261607; 962869898; 785345551; 390783324; 37167998; 875960692; 189260561; 969893415; 701844466; 624415583; 67671885; 517443526; 380693467; 559226595; 289854045; 704372155; 634613759; 762808467; 180533596; 406445962; 360901320; 577453603; 1001281957; 580614647; 407184951; 642902198; 782547924; 122712826; 293969639; 942568071; 927658901; 999684981; 281630519; 451888648; 1026689575; 957014982; 118694979; 1021516378; 426119188; 1042740168; 379239; 127431283; 956270448; 850284107; 8498978; 995886561; 953970583; 675484158; 432624256; 974770911; 359439648; 441358109; 780306809; 720619155; 319211016; 167664005; 920236963; 221900659; 937953985; 787172187; 27798524; 1035717871; 981856654; 596791412; 450813088; 456273249; 248976110; 286838696; 795684998; 901984898; 490818265; 554943980; 1005666596; 599984279; 355902475; 841269572; 569225404; 391890038; 1068676901; 151244537; 443169904; 1007117496; 243087502; 810997628; 192230369; 963495744; 441309909; 205752784; 92958861; 5192866; 792145535; 171816173; 934151508; 136720282; 908909614; 578173093; 723340384; 288690764; 178563845; 843421359; 149689847; 155760356; 561398849; 179458884; 657047294; 597150764; 1069464815; 277905915; 979357184; 905042830; 138629930; 920493743; 444334452; 948220055; 468381359; 738194040; 996013252; 464563162; 1021050058; 52783381; 964277720; 455432608; 722423246; 230186233; 947200498; 840358990; 264536986; 844285523; 765308900; 360522255; 1054557022; 839545804; 414074041; 364397391; 535142256; 251227548; 485965193; 436729285; 556465165; 676365876; 98772347; 506674907; 611048118; 706896665; 778366342; 578128550; 1014631315; 28146619; 597553269; 692329506; 467229830; 638517299; 94860128; 365445028; 130932796; 1004643480; 960438204; 284434633; 930053070; 1054013242; 12356821; 780978057; 994640793; 183016095; 346204181; 251300456; 98873429; 579763292; 900640501; 168072654; 698303526; 470614101; 366194559; 553226149; 396575013; 489518839; 950552208; 248715499; 1023042842; 992816519; 395753399; 445853998; 226792573; 485334426; 950364535; 534617276; 798878910; 147666983; 327854307; 788544477; 284250682; 1048660920; 100727880; 257800947; 90303675; 230168458; 669929860; 203232224; 893304736; 671648620; 996554884; 1011138041; 85394644; 180680891; 959489014; 1028154380; 993827094; 959954328; 557293924; 617249644; 120340328; 89262592; 504703323; 861911103; 977321011; 940006781; 367726402; 486467258; 1059767287; 601372761; 464481028; 270114899; 360238886; 1045707423; 194585808; 976664828; 192833962; 817592945; 24995959; 621688719; 304346099; 376126543; 536523005; 73855370; 659659863; 48019041; 140088510; 977928520; 836501653; 749336626; 831971019; 582368203; 575686579; 241944810; 43908039; 893137338; 715512545; 927689385; 62789792; 1001372804; 85658285; 530646099; 592210686; 1050322003; 25176975; 603790621; 502580987; 946737520; 1044348227; 317290091; 39395046; 179922093; 254866067; 50475615; 65940587; 271800090; 56230305; 413952152; 962665081; 568885716; 795198740; 929928355; 395886351; 714588507; 825084080; 209261799; 109945853; 59851554; 346948609; 64286903; 780072569; 1031961534; 299167570; 912841635; 108762132; 173048099; 464057351; 991692356; 591236991; 444295384; 321167757; 7636481; 73388614; 36942687; 672265478; 732690248; 677304858; 1060637791; 332070676; 562228415; 634650136; 162056081; 1072932816; 392957392; 89343756; 464821566; 646854463; 461987612; 55899217; 194661597; 90994634; 600586726; 672456505; 102526949; 736380242; 495597683; 791149759; 213037123; 434427793; 317880996; 697726452; 701399901; 736005220; 391674943; 34494478; 93652657; 586656658; 556860458; 906456653; 89678636; 992013111; 918449411; 825316716; 181460650; 890585842; 436684929; 543866580; 387569905; 736147205; 350517388; 644014110; 908227308; 189411152; 1006957976; 324364825; 723631772; 967157882; 141121036; 376614617; 86369469; 726028945; 838619109; 1061726962; 522643560; 822252448; 660192387; 428597171; 536954517; 824998857; 562100323; 607286941; 44324213; 997285066; 1062294506; 856563583; 460275632; 884788577; 893999767; 569080305; 330804409; 1028489066; 1065640758; 118948797; 309597019; 899769815; 601837456; 92059231; 196344096; 503122881; 948694820; 165581256; 835615456; 818380370; 321708163; 464833627; 254064585; 508605989; 928861580; 611738238; 515456554; 655402165; 232017700; 510149316; 990008218; 872820982; 404203915; 963563119; 941972939; 917634746; 908380643; 512342887; 6196218; 691739510; 833820330; 676172922; 561453347; 416853858; 555450371; 482451263; 429794921; 117376407; 865325597; 5777068; 521313864; 314214213; 568454254; 845497945; 297862123; 142989361; 790061683; 331940198; 298034008; 455582410; 614232788; 95791394; 391050731; 370233432; 186965921; 28933233; 143284474; 1005056153; 639808592; 214226057; 1022716801; 966340086; 1012143393; 730445451; 68353832; 167973352; 983267580; 448545428; 170991671; 1038619795; 699219380; 97380251; 783587118; 385487388; 553770048; 807132801; 244221226; 526393226; 541749168; 503619898; 270195512; 896322560; 103956737; 390874821; 731324873; 597196399; 815801039; 64845804; 448241537; 664969574; 497613247; 387342881; 612845614; 859380923; 14512847; 858078853; 498389805; 935696048; 888479085; 774806267; 344920043; 590758520; 817133433; 543353876; 996965962; 895320317; 732696952; 134565902; 799163161; 298827245; 909370254; 44432368; 34207301; 700241090; 555812066; 537550116; 404203590; 446639962; 686890127; 45124731; 330901147; 997057970; 796310556; 603385426; 177365729; 997578959; 361040786; 148729487; 391663153; 146869785; 299624800; 801825590; 755106939; 355625742; 27177863; 972870313; 78158194; 431171396; 112848886; 271772216; 47490740; 733320167; 812357099; 40170364; 1054804455; 1025559678; 732332838; 270985116; 267671822; 384762563; 744776195; 23134984; 706925312; 416555799; 712332067; 163041989; 767959189; 902650196; 109603503; 669612303; 718771583; 677328659; 902542565; 892971840; 760839665; 446475634; 188603304; 348214466; 467212811; 947411320; 1033995916; 54413834; 922301349; 271573178; 992361485; 96203621; 684953019; 404619743; 7779370; 408256130; 822277765; 489966780; 983270660; 882162227; 23027136; 394851599; 401046702; 747293703; 564078349; 413218837; 413632817; 353721453; 500149955; 316527657; 1020671317; 512185540; 805012916; 518953232; 423017260; 839194671; 74539958; 495476260; 1010994354; 588229620; 757334926; 406597838; 283931084; 865711827; 16172946; 136917253; 640597370; 517978640; 641369295; 382346380; 416496413; 60149957; 291414851; 948547894; 81165460; 655816608; 26603448; 429968793; 584420396; 650758677; 249588626; 1027241663; 771947401; 454768787; 1073574807; 531876928; 952215823; 649750816; 791883339; 532514427; 451500173; 390409897; 651230962; 279707291; 968927516; 210297933; 930024456; 199657242; 94828346; 216623952; 225995851; 271966777; 738939870; 1007002296; 354484130; 504626292; 813410211; 956898929; 35937411; 10888531; 544570567; 857073203; 647375320; 974519466; 13504214; 64782135; 444410642; 4169045; 610140778; 556519858; 897045891; 185978869; 972961640; 930429797; 734970138; 849759676; 788244324; 736637723; 725334125; 274044457; 157693183; 338516672; 831525059; 168562228; 718149571; 878759211; 5514381; 352379991; 647970229; 584290761; 48228251; 940866180; 194577033; 672249841; 354744316; 459993223; 386410675; 311723654; 742871277; 857306411; 752564054; 592813765; 682880793; 9203063; 18208436; 642350171; 740441410; 743891768; 1058608928; 556218884; 867383226; 718790866; 759253257; 449812148; 601486549; 184511435; 442177150; 255725265; 550044256; 122049227; 373180430; 289039201; 107287837; 689337754; 182155787; 550364999; 975662516; 398638003; 13321128; 198707766; 852163582; 712572414; 89839185; 324478655; 547971042; 812812033; 1070853452; 562292931; 128586934; 869505569; 688460780; 678404811; 538409558; 448890934; 535384434; 43377595; 46136795; 732258897; 997648913; 608999755; 720149239; 707894175; 123259437; 375316057; 621844234; 697131625; 235144; 348597617; 267219555; 407399237; 586257017; 423996694; 351994104; 291476612; 354030242; 741676367; 247792653; 796745105; 1058340614; 762473771; 113043051; 3181074; 841434651; 898039245; 694017890; 169611135; 725303829; 266677936; 883711719; 89387952; 886989276; 510381622; 57817588; 707008508; 653430716; 228055076; 437265491; 507569993; 712022255; 530558783; 256608811; 7254525; 38587743; 829400486; 117678293; 220062193; 981289335; 261298545; 898959248; 913374670; 845318870; 90396523; 702855318; 54644043; 1025578121; 344320054; 585278117; 438453606; 1027327885; 422282672; 661208570; 748296202; 1007433834; 907110111; 84689620; 1069872574; 228628337; 199169278; 934886259; 66097849; 158937991; 73099971; 246042702; 440663123; 761823909; 484141686; 943025453; 69183999; 511015600; 550540273; 630488184; 793038702; 412523827; 851890039; 920434958; 1050331965; 410262834; 1070908095; 876209956; 478223445; 271902936; 902441817; 816993242; 12508510; 916680791; 818703205; 916374537; 36216718; 667834977; 303920785; 306214364; 1034800321; 676748434; 1000713291; 614073848; 552459115; 888743033; 949407272; 165093792; 245149929; 685445017; 463384199; 866071346; 734665561; 592845742; 462127132; 1024105680; 424631455; 580053530; 117483550; 552878154; 685025203; 767877058; 368135054; 557453059; 20337084; 99212877; 172894929; 592634687; 711510516; 341833345; 153780819; 808506213; 996042119; 911983410; 291046561; 117644879; 414661440; 904425082; 1020192738; 36588872; 912086105; 321098861; 1045176099; 424710270; 812625241; 605372881; 47816537; 59392987; 609437733; 48020584; 534100809; 722916713; 989487156; 683178846; 783122278; 379936234; 380979989; 22150746; 788512804; 116378746; 776159575; 592146960; 808955724; 1072664525; 770135821; 361699230; 585627225; 583179788; 707994158; 589073116; 874009053; 418703596; 1028183000; 978688497; 167155268; 363609915; 915098236; 830083388; 692467469; 919084034; 1024853277; 184291036; 175669688; 52689217; 467800048; 953068735; 521210362; 588384449; 1034036750; 776611763; 745144087; 19450257; 506709352; 501141640; 967386812; 126793967; 936369784; 594721285; 873980911; 839424628; 397975643; 517820627; 486851062; 308386456; 778288060; 296678150; 878537732; 821703754; 394280339; 777577449; 224404282; 518077099; 972367623; 332793710; 883454110; 1037261931; 858539874; 481307767; 311706079; 662444953; 999736541; 1038349097; 381305775; 999314386; 988288671; 988061722; 4048007; 198011094; 40051789; 112982652; 240696942; 243839191; 121108332; 1028794330; 223259436; 586197664; 56994704; 1043486928; 1044954146; 992023136; 259299579; 1012428367; 468091514; 237138056; 25429009; 433247028; 422880910; 300515304; 222829216; 555356487; 583286982; 886086271; 29681161; 690480482; 1039196251; 135891613; 555183227; 173999117; 175425943; 925993391; 605843563; 774649358; 84260601; 106215107; 765220779; 644655101; 847511491; 542796408; 849038625; 230327674; 143684649; 302387487; 760852783; 637786539; 755758807; 867627620; 458797515; 1012872345; 234847632; 230026826; 678470969; 1048337694; 1001442777; 894668841; 1018500000; 156971138; 984898372; 262986967; 259712155; 52187538; 675535751; 22249891; 513412012; 312578422; 755905529; 323473287; 765140856; 580894351; 895997563; 212192484; 917343169; 199390137; 482376877; 724906899; 131495162; 1017456999; 21607769; 617332242; 112308464; 263835840; 2533703; 868146837; 446865330; 852525968; 453634414; 708190256; 206652742; 355087018; 281937219; 1026676023; 407748026; 42684515; 147383306; 725963177; 987987763; 198784029; 254364934; 4989933; 530488900; 1018668336; 1023391405; 846603268; 848600464; 363497091; 75350792; 491303072; 407640324; 360671853; 659591515; 548643559; 326324192; 340789917; 800441103; 552185087; 512993972; 204006010; 669140945; 550413215; 710155393; 844118915; 969192379; 387172422; 470471480; 435786644; 293616132; 697286226; 1002923071; 455976564; 634375323; 283197257; 511149448; 610546346; 557765094; 988133778; 1006220035; 1069853172; 225063465; 276372535; 406593177; 647660464; 891445619; 488515754; 902874337; 892524048; 146824159; 72563784; 593458126; 841251922; 522507150; 788815748; 701776169; 656872284; 192441614; 366911582; 997732832; 169015629; 305216198; 665303207; 941407192; 992019388; 285748385; 536598242; 1052927551; 1045726459; 85926187; 729319982; 594770786; 566473454; 53635476; 584642046; 67961345; 30687647; 6697876; 480616014; 760579423; 322005987; 721986022; 552164914; 441693013; 542910147; 842268896; 664295597; 603541056; 293632665; 847679553; 911839187; 979696786; 181724825; 375477085; 166463325; 484233346; 692411369; 694766874; 986285851; 524034298; 417759842; 844612705; 821275309; 330907774; 243588909; 992385928; 527431474; 350386912; 326574887; 526818826; 770875481; 759071535; 474723087; 532640368; 47603048; 1018279659; 216622431; 261945161; 863552659; 193240785; 827872682; 33424180; 910506294; 393448541; 165168949; 1012773371; 759787146; 489685229; 1059980414; 635795208; 916205850; 966742502; 1062193836; 93128514; 733401276; 100772610; 590326008; 1015045963; 1019491201; 417122269; 545738060; 698310293; 1046059234; 948291495; 53327444; 379754418; 272376481; 568448077; 512080311; 365504122; 996067649; 734550529; 603483627; 1026965772; 962006612; 998023336; 1057776114; 474891748; 259352787; 406911878; 885267647; 986699923; 935461130; 968431214; 749449766; 616379099; 13941018; 706063606; 476394565; 126317481; 728431492; 915903593; 186567413; 185711720; 543578308; 898602753; 1066332948; 745272825; 81091051; 766729963; 906067376; 280917383; 660771063; 920560104; 494751836; 529057841; 582713331; 532693771; 272946366; 862743560; 784395718; 69063920; 645344016; 339899845; 648931455; 567689925; 241508490; 258453180; 1056769355; 301853757; 658447706; 497585948; 345358410; 958101411; 1006806519; 838231154; 448951928; 1039760883; 355495399; 993436958; 74984255; 1049753571; 578124121; 83043910; 447536832; 988589480; 233637175; 610883587; 607583918; 705614776; 358009966; 333463258; 459196073; 831702016; 1037799652; 124603172; 931496727; 949060147; 730079385; 510065957; 943926447; 729134480; 42831437; 66731574; 648638898; 851152947; 300893058; 676769346; 1044429929; 569465205; 433582937; 897953393; 957405613; 373671727; 408723206; 959064098; 637796990; 665821736; 832121083; 308400524; 738570345; 543309533; 223446645; 779221513; 324298010; 473152718; 528513112; 922512895; 9123280; 696296628; 547582973; 19327910; 689035256; 774053693; 49347263; 378124021; 949170579; 671210239; 929885019; 1028496190; 1020690695; 1015301808; 890465767; 864759691; 707600723; 792307324; 721471759; 915933394; 357508586; 595535723; 467312713; 167211393; 752681157; 150390085; 956488254; 1035953867; 27679779; 159902437; 198736341; 642250097; 454196652; 1005283141; 969826559; 368406066; 332674785; 869984828; 427950680; 439509775; 865973229; 222689448; 604175775; 531824549; 438356072; 866937774; 562773099; 942707793; 932805353; 819200310; 122648320; 740780242; 551933863; 90821520; 761825568; 678242498; 868465203; 653952759; 473300576; 816640491; 263704763; 280666068; 344753385; 839970314; 144781088; 162149527; 306885986; 735836727; 440029030; 417864766; 550241021; 53391565; 536363264; 717630704; 357140531; 334904231; 851536238; 456285283; 179154393; 970985753; 807579821; 510033117; 1058338832; 711136492; 67812732; 609009927; 929912313; 830992297; 318941318; 184829997; 331133291; 1019059644; 611441049; 168354959; 831558525; 243328403; 990962948; 447780118; 118831323; 69399922; 494368907; 545435189; 417955745; 498991017; 329124562; 780572772; 1067587309; 657358511; 1028831393; 403075930; 516287033; 482750832; 280518908; 514285460; 993692066; 864888415; 752177559; 806861303; 411167809; 892881206; 42316469; 167504008; 473917559; 617655699; 987711501; 1013029234; 707024133; 166436831; 1054640391; 532426870; 1050008522; 238650065; 360627531; 1059241140; 603265820; 995267168; 638822438; 276732183; 813895489; 580983741; 103101145; 853097485; 128437888; 631241661; 88294010; 707875142; 952714507; 877779496; 106237284; 62007429; 666544040; 965001793; 359938484; 180730494; 943965241; 847744058; 829312627; 301639506; 296817996; 590856799; 207875533; 550387219; 966562734; 934628966; 34051470; 50317341; 324172024; 318981031; 566210986; 409666536; 540917911; 703204529; 369865443; 150519437; 797225819; 926657287; 907770105; 44779178; 97365393; 8866837; 840528302; 293133368; 733024937; 1020819454; 1034405904; 448283889; 447682059; 125377204; 800901686; 885145658; 838125615; 118579351; 700755259; 496682164; 580453; 791577718; 646090498; 218534277; 163034904; 720718380; 88052465; 711132009; 462208276; 84055376; 368148476; 998885833; 285344644; 903824975; 139587562; 1048523751; 35490116; 116727296; 400175811; 881918234; 891626536; 85111389; 181245370; 1047555258; 23295636; 48392610; 821496295; 752717923; 818932136; 371313784; 23334918; 45767376; 1003147218; 426756205; 487746193; 49001891; 545903264; 68926696; 497937594; 502884461; 564668914; 226605103; 327995261; 492421816; 334717991; 495264503; 910832848; 27052034; 353924316; 60709436; 736246472; 971301493; 394614071; 1047435894; 769635944; 675635894; 984164202; 57450402; 660887269; 722508952; 769309860; 84016111; 943236028; 727951598; 890033883; 100862652; 52590896; 120074578; 795775220; 932313389; 618004604; 915146891; 393788276; 699920613; 280090332; 1050568033; 89888142; 971408955; 498499122; 871354602; 1057659758; 440142743; 306280236; 128757890; 772103342; 693134148; 236811944; 1059587246; 1006537082; 778238712; 831040654; 835806742; 653107049; 214783052; 1000216606; 759984814; 156175291; 1022358276; 649442928; 753844984; 463822547; 169079072; 132623531; 558743809; 618413773; 646253470; 44274982; 555213605; 154359763; 919395237; 490828982; 154442509; 995162576; 701007745; 590503664; 682780928; 484167646; 945265330; 801828347; 237870279; 80808334; 602447741; 483733319; 384650944; 252729224; 719812155; 624438015; 148357534; 321042950; 656823907; 608697343; 623354708; 939748406; 646990503; 339407470; 981363112; 59659617; 906908310; 422366934; 150735545; 388255622; 205017706; 908505867; 359804032; 1010696569; 444314172; 407720229; 286802912; 973359390; 977827341; 429967819; 884694623; 550391643; 1061307880; 506811989; 313593637; 83692914; 689672600; 926802776; 67505236; 54544099; 916277610; 857378804; 415867168; 859779331; 779964326; 1025801677; 197736818; 457968239; 1017655775; 969052038; 353832378; 607479423; 689524216; 185317237; 155002823; 958892827; 622022429; 101389451; 913607216; 874005348; 270689661; 308793110; 834140087; 280006305; 610598953; 906155090; 391465266; 240351461; 473362567; 352948842; 704040621; 886468976; 160974493; 684905483; 171012898; 894229981; 383290402; 508995654; 992202572; 851319041; 586642994; 17892956; 188073186; 273574263; 846302357; 768933216; 116996359; 48274002; 700468137; 318732715; 640235391; 116406541; 327990168; 780237359; 429416489; 997571651; 564477932; 809887285; 727100932; 929741230; 930463249; 552467655; 563312366; 733149386; 825718703; 1047394767; 982071971; 913505875; 553930515; 1065638069; 923900641; 208452867; 1008801213; 107869544; 342852496; 163331575; 679241991; 742248146; 924282370; 894725452; 937135231; 1020215902; 771463516; 900829327; 665585333; 1051225198; 1060923754; 927592203; 837206623; 158482708; 104135071; 20425368; 277688617; 536949432; 270452247; 198837757; 651822490; 629937505; 931990829; 1016630273; 260884771; 1026717054; 692456932; 972787549; 431518162; 148242897; 456635712; 931430731; 386466227; 896150027; 334424266; 119581624; 214570421; 1027027419; 278305913; 441950277; 491078038; 30522592; 637757941; 517295882; 574060517; 788630489; 305460591; 375651698; 438020636; 630094228; 1002866426; 840416958; 341550763; 917994246; 437833988; 829353722; 945231019; 238379315; 395907782; 169216101; 879461392; 113583347; 1032195837; 61849018; 21026418; 358738592; 845346741; 708834600; 508326941; 222108425; 170575353; 646899434; 543012383; 10389995; 811175963; 415289354; 173009755; 365224339; 852810342; 995044964; 15953549; 45570632; 1065437267; 728728154; 131716541; 399218857; 224178318; 1073481421; 968942073; 663623201; 272140050; 263564221; 815030754; 748639524; 981963041; 734334422; 870056177; 940018764; 712565222; 924942980; 174825234; 296206018; 79207801; 714325379; 713174786; 210881637; 221087676; 497599547; 901809120; 186008802; 696604219; 399332526; 221086395; 35367957; 509443416; 270268718; 94957067; 788920636; 782103070; 32149431; 646710011; 844932197; 740761434; 956861; 208798895; 997843979; 914966165; 904168689; 268225042; 638496470; 965813451; 58308784; 798426051; 469152584; 76307838; 385780782; 94048846; 672672776; 656841545; 333008279; 219206330; 453527443; 221494410; 852579887; 981385662; 621243152; 816601176; 700854451; 21375975; 466394035; 682266896; 149084140; 97471876; 83789500; 399457992; 166569640; 920820405; 605657654; 1069443034; 72350902; 972530109; 926347765; 546740081; 395327234; 131570373; 410622801; 429041236; 330751620; 752847142; 580396815; 240075418; 80012282; 585861730; 505278264; 394622023; 524748146; 441945996; 930041497; 975107968; 870148316; 531569373; 397677416; 298304924; 907608350; 263176491; 502081482; 389288878; 732495707; 716086819; 636136245; 90659050; 346279784; 758547774; 256441526; 588802500; 872845371; 198714896; 833008444; 272838114; 263165307; 436835810; 548313776; 487565644; 998853757; 168765585; 711064073; 691382910; 974454251; 660020163; 867564477; 389129126; 495948619; 580953583; 193468957; 634289094; 941397686; 108537339; 300005864; 923117044; 735421281; 819607811; 864477180; 260888499; 897981665; 966910378; 1000444693; 298530745; 143982702; 683148609; 513190452; 383645405; 868305055; 499295011; 214582052; 235480628; 973442838; 133886507; 879820958; 108462832; 839859282; 1007359644; 463655932; 124767267; 867831977; 139281173; 10339352; 309255847; 492332873; 1071718183; 381555195; 407350028; 1036345325; 254998515; 700892656; 421998831; 482810088; 937810108; 44923649; 335649097; 506955556; 594079084; 920192413; 226856813; 133281060; 819155885; 945588933; 769431589; 573062103; 990334495; 543432513; 490285655; 560128621; 776412578; 494561534; 226735316; 44233357; 61535094; 681503064; 136158881; 559540305; 766043467; 716249932; 507028547; 602191904; 970897125; 224958066; 996452712; 1030718813; 1068143470; 766170791; 403475051; 428684741; 582209795; 422812919; 762569927; 509672178; 900764928; 594540592; 140560822; 798391360; 802095053; 993375898; 171429799; 236198109; 754228214; 127438152; 1049684638; 631274876; 144932578; 170903415; 240673277; 866539452; 864959532; 121428759; 933167083; 504673528; 525896654; 527637140; 473649833; 504394655; 160486644; 915665229; 757469568; 558776007; 268812695; 514911288; 67789159; 402638248; 224166068; 234144621; 89831851; 757575936; 36965014; 458139953; 541011036; 682215651; 324707185; 214274598; 479677792; 468594354; 686837205; 476235359; 11661923; 337943600; 485680615; 203498213; 123674538; 956304245; 982004086; 284699148; 224216804; 194459819; 758090691; 463555094; 385608287; 481267359; 228598644; 898981219; 724503634; 290819209; 348793503; 510851154; 499937302; 153066950; 167686948; 828392617; 30832137; 818025884; 814472544; 26574284; 611001777; 975160970; 1997196; 246505295; 957845886; 1008132998; 1025892185; 324338427; 337320652; 92181119; 802599499; 392653906; 536268756; 6170127; 6004133; 1013125424; 877913769; 919883349; 65065564; 461580876; 230962765; 1027819636; 46557282; 760202085; 811581211; 865989198; 1044447963; 805660374; 134210911; 1063836405; 426923342; 470622833; 512824112; 1067313440; 882929228; 822456832; 216122935; 32185009; 1053378715; 571454731; 1031241731; 46982234; 96493249; 339999968; 523571540; 709645119; 357115344; 1029878552; 559221361; 1009132764; 944934526; 992176895; 323605364; 949483343; 10135735; 507407149; 584880394; 682416633; 713464355; 1021538202; 523486318; 844047545; 761534611; 924323778; 674204894; 924337060; 1053421095; 803785714; 60580197; 1013214582; 923726500; 151483505; 436165609; 202874387; 441948837; 861292905; 140871311; 963672836; 60559907; 690825606; 28778477; 478291643; 442446491; 977013060; 724633413; 566366410; 732941465; 848411347; 661029581; 567870917; 675564762; 624667334; 1007947755; 453154584; 278670772; 574900523; 305684983; 448578636; 501095222; 234022375; 623450935; 57459334; 1061979716; 699582414; 78587394; 787635756; 800155998; 163431183; 340422910; 611369634; 381875673; 118405140; 901454815; 220532469; 1057074625; 288532076; 525223482; 650804422; 903766407; 688372758; 739862616; 942555581; 29113050; 526395473; 343613027; 676359599; 846022169; 8831365; 353721137; 54043550; 703243774; 246710929; 559757407; 12072252; 501251122; 1032904214; 1064719057; 883005423; 463982708; 860910487; 283590344; 823518126; 113326012; 492828276; 792595328; 563169753; 1043663170; 1031765563; 359183865; 273684636; 1019716676; 846371216; 40748905; 806976629; 942450775; 762626537; 962134960; 948587307; 529573130; 158218935; 102850010; 65426392; 551582503; 855035696; 1064586223; 750703174; 721190530; 143904176; 1000148991; 1019657803; 558783138; 117546093; 672009298; 462097299; 419061809; 385011395; 178488722; 943345068; 249834995; 685612039; 775674535; 6733903; 168389099; 895340812; 1066301111; 625463053; 460226434; 551020350; 34904124; 257803787; 296097064; 931649406; 678876338; 256931448; 207716159; 271590695; 1016190644; 129220035; 835153520; 336786625; 138687849; 157399106; 583092398; 47954991; 178368777; 1052594284; 385282651; 461386074; 62938385; 154940428; 456473136; 53535455; 66619209; 809182850; 397086570; 586681341; 360351713; 715654610; 774733123; 221920006; 1044534095; 953924804; 999414837; 130730963; 609045222; 299926611; 439366018; 616818697; 633919122; 478603425; 489200559; 776908665; 1062274464; 941171479; 978907616; 135237969; 352548900; 433892128; 365072302; 655429126; 130740492; 69887235; 309667852; 670409464; 312992265; 394694124; 167656568; 551304489; 896184990; 719037826; 409775850; 868383202; 471744610; 375286157; 51418991; 1045711690; 63966247; 924924201; 843851669; 578489414; 851125933; 683067517; 123482511; 64017661; 172106888; 159205073; 797804650; 1029214617; 323235493; 106131147; 570392199; 271543959; 365696474; 554246406; 712651496; 293038436; 677416389; 194314615; 27577846; 471427757; 997251430; 194846316; 858948732; 96058925; 6693716; 840348983; 184085926; 102045072; 338665818; 818216651; 243556522; 644904578; 869234422; 946515966; 426970060; 624880197; 656633992; 247094661; 211229571; 76097176; 269509513; 117819299; 505576510; 478563773; 190361431; 705315250; 1043216456; 461063326; 181576415; 537103360; 517204880; 971718708; 1035253293; 343415801; 74186073; 536445156; 953679480; 202711358; 555484407; 372221500; 596550324; 706973137; 500866944; 122051498; 349404150; 543234654; 272893311; 319293714; 64892823; 423130548; 722266823; 324911214; 781381069; 294320709; 630049175; 906425959; 889167237; 394945516; 990035539; 1054226457; 310603517; 764670637; 966798027; 754495317; 313099231; 25405845; 639827967; 395830947; 983231855; 651978394; 239628773; 684455615; 907537907; 513958558; 171781111; 351549840; 40412202; 720718901; 1048439926; 706318969; 434817242; 633891068; 761243115; 1030764936; 663783416; 952050362; 466121970; 158413498; 1043186479; 805968782; 380438589; 994064570; 233124674; 661053693; 922577287; 896271039; 865988730; 781184960; 111547780; 438726446; 491008403; 348289358; 610578509; 773689293; 790674222; 73110460; 54825046; 898282317; 115517333; 470468772; 76565695; 969282818; 195260378; 655634330; 694602910; 749120941; 139002549; 419645693; 803349019; 797903313; 148486578; 59532788; 325461946; 442717884; 736698865; 83295224; 353435743; 545688353; 633153478; 767343136; 51315176; 438235309; 1068427217; 814302764; 104758153; 318747779; 417876069; 143359151; 133849628; 1052012576; 1060671630; 830903132; 675951832; 1021470162; 551104028; 748335343; 228441533; 137663886; 1007342745; 68616965; 845728585; 66174446; 981163529; 918603652; 866635734; 164017321; 1043479959; 960584146; 723186871; 82774632; 406983990; 25022203; 71787015; 599192618; 337592544; 627957239; 243887941; 920579881; 555717276; 714692730; 907679268; 292661128; 1053342861; 108019688; 335905446; 860931862; 1025819260; 559811082; 94682212; 749345343; 99162272; 911761421; 920657865; 362692829; 217568418; 487021030; 533030148; 543277154; 213016400; 825380575; 846710567; 666988166; 974287841; 506925131; 129863638; 348744014; 706333048; 717178409; 368685844; 223714931; 336798731; 722010829; 77417933; 500674701; 472739807; 92180946; 333399298; 447720480; 548155859; 570847303; 345551339; 272494653; 706121841; 300511679; 479144579; 929651572; 928712879; 585709358; 663893503; 175101092; 434706855; 996905937; 309287698; 277988867; 781954567; 900500090; 545668459; 239811497; 446007591; 103848109; 571081347; 1033020555; 1052479822; 903098418; 693833746; 526331466; 284548660; 898979869; 104697585; 184087842; 855366630; 448516059; 83283898; 267751089; 319906931; 466419970; 924297871; 377026397; 257140582; 514789737; 89901028; 348745679; 598328884; 682265463; 500016365; 661938595; 967584922; 1001274065; 688889407; 162270939; 121873367; 391299982; 879422023; 156380318; 665886557; 702099469; 636513573; 301391159; 1020850938; 168165798; 541434123; 156967786; 178313666; 258824053; 338908585; 960471503; 919082242; 73572870; 348269087; 115475204; 1023707991; 120554815; 517163422; 494180992; 885370582; 394708139; 159731956; 628814181; 799524720; 630960104; 447083537; 279914055; 98330644; 508106670; 278392263; 551724311; 1030587034; 244605265; 1060898824; 960299257; 450871000; 753072055; 1023037155; 300469370; 410652620; 108784566; 750386794; 296937961; 766029418; 631872159; 696289350; 1049517727; 207612974; 294710247; 526818795; 226848187; 228849806; 467308227; 262662091; 639990505; 1050991546; 876821316; 327917949; 511956912; 255377796; 142871378; 837210337; 494382339; 826584438; 140150292; 850602247; 399280120; 723861714; 926662927; 457515227; 5837883; 484228376; 938428348; 830312650; 336176653; 760381332; 635826204; 714895646; 227606239; 745123376; 687890253; 1028259348; 257969061; 665635865; 930611352; 41246917; 450164382; 675257087; 906195887; 35632334; 243079927; 553610141; 760988642; 843510528; 185316516; 13239903; 563576465; 867281405; 185255061; 353383168; 1426602; 23289077; 359989920; 123445143; 22964912; 204897438; 537927813; 128470463; 547594260; 609571334; 557154345; 115268077; 568078866; 203188725; 128971002; 1018936794; 236310739; 774476449; 832624695; 436616565; 617204574; 514465929; 45941753; 388189108; 420539694; 914328956; 816971438; 594527695; 100784340; 705229917; 457432265; 658236442; 506553736; 679088854; 349873759; 752125762; 653696307; 295520874; 110981298; 687066438; 931446826; 94244005; 229769592; 615053533; 394130371; 274441855; 314735644; 462418597; 783521293; 121094397; 357536665; 577502313; 424606383; 591033065; 175527833; 455865579; 574889919; 834431008; 997567498; 372279464; 1051850131; 128521007; 715977480; 120154250; 39978814; 268690672; 517737734; 277423800; 253467173; 90128141; 1047693510; 493133444; 653365401; 183622545; 970054610; 211865087; 622850791; 794827654; 251896683; 338618631; 746021399; 580290995; 298902903; 556322264; 323657097; 773906444; 113746321; 982583176; 1014282099; 486572002; 561511822; 549345677; 167394040; 99525697; 1030748097; 462404090; 1061000133; 629244235; 600147881; 921585912; 43658970; 236984956; 1022183051; 195066087; 582368524; 361516805; 461253359; 206798112; 115872176; 932797826; 924923084; 56687942; 66276640; 999401858; 1034052861; 544190306; 377872516; 38922997; 508234703; 201665194; 114938179; 1070723697; 72917543; 874326807; 611846713; 347863986; 679636276; 618269810; 522515099; 277686198; 258982930; 472288282; 88434491; 774562778; 168462919; 455265218; 990956370; 565691978; 1038537797; 96164467; 251351237; 223591776; 974577651; 173422974; 783488275; 461447398; 1057380275; 892072645; 573867813; 696437103; 952727859; 304194286; 480092073; 341553924; 364302390; 577495569; 1046224453; 433747058; 34241144; 732239054; 979990566; 921100196; 856897641; 819803037; 712963245; 98143699; 219050555; 818013504; 274465450; 917234210; 711491292; 684694711; 847176152; 537103570; 778477728; 1059839611; 408485870; 241271679; 1003743174; 1018209493; 620415613; 216702825; 120196152; 190752426; 413446391; 101458839; 158288763; 596882140; 116011957; 383771705; 1006428709; 720078147; 861656426; 345060706; 1003078088; 686027774; 123495148; 816391215; 237081932; 461581443; 895039798; 542930061; 784400242; 598379553; 346483089; 988201418; 461319833; 862830475; 171496119; 1016540542; 101067542; 865909618; 73525936; 685601648; 580808256; 50799891; 1004098884; 202345879; 663271888; 402871730; 714303264; 581584563; 459333690; 47987605; 145190320; 701477330; 68235831; 643462709; 1034314088; 897322771; 127046732; 1019543938; 996958021; 355681107; 137761180; 589902287; 1038651772; 125388815; 570930930; 263957730; 990792049; 355966608; 454582862; 349545827; 773544537; 235751489; 101291977; 93698403; 750125044; 437050147; 658932863; 107504107; 855171868; 736237572; 377884848; 520385782; 859654065; 476163630; 650860389; 962822623; 387747365; 760482246; 454385298; 583675296; 777949440; 769414526; 1022939728; 879842102; 58209479; 70206636; 154540923; 864045167; 420768599; 272359149; 904328632; 25302931; 235524919; 773155862; 8278442; 761978227; 682305561; 537010552; 901526368; 833638902; 628430774; 40930079; 360966615; 840639730; 647140631; 57784720; 236162473; 276474568; 754806762; 552336319; 775480630; 494683056; 496628810; 908518534; 25670183; 7475543; 683457980; 247920275; 348914647; 111649281; 452155635; 816218352; 819635895; 284737422; 582083035; 423372769; 827357076; 608392140; 940656537; 17833835; 705585683; 935652788; 1039655960; 218174311; 301091411; 1030601384; 566635803; 425775737; 980527477; 476320051; 784769302; 556295325; 404422282; 776906827; 729505229; 950655597; 856360729; 573361613; 836410482; 1043558595; 159262781; 876614235; 344853972; 203160156; 635069137; 1043232724; 201116156; 1004280003; 950892320; 1015782141; 833149866; 169420338; 674345858; 205329149; 375817647; 364771982; 877177741; 504281523; 181815607; 387041538; 42717624; 133894588; 221768972; 310804673; 585795115; 714155857; 658313397; 223842064; 118791217; 1054323041; 675981855; 762628405; 578400277; 638800740; 783920175; 591620377; 393262748; 429017269; 305908529; 855671375; 144943733; 36559160; 608374358; 329179355; 662242160; 620104641; 376467099; 73771523; 465301876; 66963786; 589696275; 823491228; 59331000; 212281485; 971628964; 907329660; 813770376; 275939163; 898801754; 140366616; 374902920; 553189375; 235270466; 957691495; 294972971; 376658555; 990244899; 640925119; 224784784; 911697772; 200070688; 1069057073; 670168483; 826480593; 558022925; 93402968; 859953247; 148683728; 901533852; 107664138; 595294485; 495768712; 929612692; 241959270; 905828744; 403430337; 547243026; 685325577; 816120437; 283750689; 886198610; 856294560; 320232355; 45157259; 929157573; 748490592; 590018216; 731361279; 738060192; 232813496; 77479188; 688552254; 1051734626; 621630063; 202872310; 851513805; 239946206; 72397855; 1053988085; 807873097; 601869677; 957658387; 789916412; 449024447; 576365417; 1027091423; 504323272; 1043054827; 510751243; 562051449; 862963536; 681529260; 352160610; 1017714273; 1001641443; 362308837; 810768797; 581222289; 639677685; 179468449; 600897300; 657675591; 198822502; 83392871; 654293839; 43416221; 723975801; 1002300151; 315485694; 627967373; 640197020; 590102591; 95517928; 848348097; 249925540; 337740314; 14971471; 604354355; 1035072129; 641441400; 827927668; 374941175; 1039415092; 629141269; 255071865; 978715443; 212526852; 224003026; 697418704; 188187187; 348504624; 940070063; 1052557643; 3189182; 810586203; 87339603; 842481790; 779528301; 1011455270; 714964936; 756548729; 1010457598; 480473256; 50702119; 722134893; 684559458; 172045374; 616284445; 628705766; 827177185; 161874389; 212106243; 995602389; 941989552; 266029058; 435998898; 221222365; 836570517; 469689008; 312253889; 772670711; 302184776; 752385909; 143521964; 131381541; 482887663; 367984517; 831968665; 854984220; 976388541; 328992369; 15966267; 688851541; 216049880; 1063826258; 984470017; 719591375; 479489588; 818283362; 787353460; 133562069; 46308448; 1020325503; 354723561; 905315056; 756222694; 840951689; 631702495; 721283956; 687172217; 237609209; 148410851; 217314705; 844065832; 753662168; 473504003; 205877393; 734864976; 510211466; 616185997; 707056762; 699310764; 1035869234; 1048097751; 912655625; 900111026; 563128415; 485190865; 742491468; 317731191; 365529632; 169372968; 706216944; 222062531; 762357318; 330675151; 517327004; 808165203; 875872255; 75104481; 228219207; 445810660; 607418224; 354312762; 540959809; 869152327; 722324521; 948370487; 1053117781; 874819097; 485312288; 995313108; 84850004; 831032344; 334962214; 443383763; 463865433; 768270008; 901606509; 797494978; 414858176; 891346551; 172256255; 954798837; 911062386; 362313417; 355801013; 729522887; 513971576; 966271255; 960801527; 487108862; 633111828; 651788723; 582276935; 404041743; 1006617027; 1065018882; 896814927; 335835719; 371093056; 46491985; 602452404; 486501009; 86960841; 434636551; 955345678; 570619643; 194733819; 314638572; 174978893; 383360405; 781930213; 622321993; 739540147; 170946953; 647285205; 272020509; 899679431; 270429109; 837236855; 540641598; 699779435; 145773061; 232094452; 90196897; 961787932; 690350117; 914400521; 394820583; 595773827; 514198479; 677374798; 753578784; 307492825; 61731233; 304251668; 1003736252; 212586285; 806567824; 696404742; 185077695; 336476052; 389248089; 298468674; 839449092; 1000703242; 973012605; 995396761; 1024038204; 895358385; 480924073; 424754286; 669077162; 925883340; 907729994; 264028974; 723885600; 1047900522; 233668356; 932103686; 809370025; 423218270; 1040774311; 741456429; 152690494; 710400785; 1050379982; 39306614; 631347377; 1049195239; 1038913680; 683564226; 572375987; 216994852; 232231999; 600450223; 719501240; 908078401; 745174032; 472657243; 183980472; 555673763; 474883582; 1004517943; 778002383; 889277018; 237437828; 183432737; 876151899; 618920621; 525501392; 567881894; 170439799; 645086030; 685880157; 425858354; 654517454; 337333934; 479417191; 290337; 926021559; 139257993; 610622294; 327309261; 953764701; 20898925; 984243659; 686257462; 481306521; 365910251; 357143019; 468299371; 255622079; 271380438; 359692599; 372801789; 613695773; 673213851; 605101098; 878915839; 275151503; 1270107; 106072533; 1008238461; 355973722; 124113447; 625908377; 1005755526; 741781853; 538434735; 614810734; 569089108; 670951241; 931482777; 861386651; 961139280; 244946163; 370373436; 724223858; 873817546; 844330669; 407532825; 461741086; 603436224; 13456130; 497224172; 150809758; 791030415; 818352039; 830506705; 378418188; 799429969; 746680901; 872255345; 913757481; 433702451; 492395973; 871919622; 1000077895; 436024417; 584209781; 738818336; 400421372; 401880138; 872913875; 893927323; 847293524; 383124354; 409032695; 1031015801; 401402159; 336922967; 1069186327; 301729844; 411177673; 177810221; 872591660; 576692268; 888434707; 426717447; 325523966; 1014950359; 626859405; 788559267; 262677514; 613233878; 912583858; 317919115; 850161618; 798440405; 794138423; 410665153; 830455517; 795957252; 933637445; 790929542; 510978339; 336150161; 963708375; 594122274; 886759406; 915563272; 107805782; 972374144; 249032763; 472708511; 484694200; 462108364; 649640516; 130202898; 484106960; 68674613; 231279113; 303261665; 93421184; 83858230; 707134415; 164149547; 338500947; 413777153; 417101829; 806176589; 696538505; 64990784; 321327479; 617804856; 525662794; 367904752; 479317400; 227238977; 109154142; 163471371; 1006989071; 1016365249; 741554342; 278125275; 845069918; 81612885; 855418454; 884960548; 395914534; 410413176; 252212047; 207641998; 47245246; 100441693; 735034239; 1058278076; 978094766; 1002804111; 772795627; 254322909; 210921543; 268557438; 832070634; 62164306; 660508574; 775351594; 649774735; 821603528; 408079726; 557567021; 403830607; 557076050; 521402419; 683637790; 787351322; 508574636; 959113841; 200826571; 915359223; 372706109; 458945436; 559865542; 336856675; 941776428; 674044952; 903456285; 449437284; 1016319336; 602671678; 859332293; 751328350; 1038696909; 660485232; 381584015; 174790293; 708781331; 886289952; 301786481; 901600017; 392212693; 469517542; 185929817; 773484533; 1002977488; 950866730; 965593448; 925255446; 251446250; 886254807; 484735813; 382932523; 453232660; 1058425823; 607618908; 625882380; 211081975; 1056617023; 389709044; 947435964; 739278220; 654984191; 190310563; 466703694; 618643048; 608822432; 657596490; 276453564; 348723183; 703933248; 809608670; 512330997; 697419498; 654959070; 84269624; 652633125; 902072106; 694718826; 597071785; 368070317; 283839353; 144479444; 333922930; 960437216; 770850258; 994388291; 874879893; 1024329380; 763718243; 1064392393; 3095107; 119943470; 438468416; 150423828; 988568105; 438247398; 556749682; 894972322; 77205170; 604204211; 858573861; 870774261; 995994144; 764609696; 945582292; 1011906922; 868698355; 526530843; 680420580; 152785143; 862243799; 1005373178; 306728785; 382326697; 227489008; 567854283; 351518094; 969717403; 430208643; 998877682; 673203645; 208032736; 954035272; 131718334; 171980567; 636752374; 693653942; 222184812; 216954483; 75996744; 1016184830; 991525285; 84040039; 199854268; 595602608; 583750004; 722794344; 700489629; 493466626; 849220721; 503530615; 332188028; 1013013779; 878860945; 16186360; 810586488; 887561554; 280899537; 1024358444; 478678403; 131604633; 321066523; 793860163; 210783467; 199336718; 30604825; 887374896; 864067621; 671795167; 76672589; 685894809; 989227174; 743439629; 156218651; 1040863732; 1000628138; 503204428; 974824730; 27174881; 921591464; 287198146; 818506386; 842607826; 168340299; 112601004; 714368961; 4062910; 234854889; 515729598; 185223506; 599872320; 384584500; 806530641; 882641513; 591353747; 472421848; 1024564447; 106992428; 115644982; 855221797; 280150324; 244908801; 386094736; 93077541; 970236757; 466038349; 369770622; 1032525621; 1002974911; 479022862; 25551527; 262381609; 808346475; 605631489; 1006101957; 694374221; 567386226; 584249119; 270820791; 710490022; 1045270760; 640951817; 67539879; 840194606; 838132585; 502290831; 486783843; 129953444; 960361680; 518036375; 947050598; 105981072; 703267553; 1055588576; 388722403; 78199659; 411564509; 574315580; 159373069; 701961234; 167332331; 219574880; 933390410; 785148532; 321731081; 389206430; 944784608; 349889329; 844727714; 524835079; 715629223; 464641463; 569557648; 519871781; 321299276; 918569216; 989279916; 628027756; 923206517; 18748208; 484774446; 947576855; 754324331; 288770648; 53374977; 672975981; 915396276; 416446803; 899991571; 780273267; 956095495; 247896746; 276678993; 274760102; 322900086; 403701291; 737331915; 300883944; 265255959; 131807419; 1067149032; 416831157; 1046048095; 356902619; 870464328; 815745392; 173126464; 642758441; 12874857; 948118724; 335767497; 470575745; 394620405; 483952267; 251983002; 676691207; 935980175; 649620866; 221440246; 519584247; 335980701; 30902609; 529565849; 28160027; 639876472; 84987609; 311672492; 76290990; 886770198; 147133720; 625955820; 486342948; 27904032; 66274428; 902070039; 78892018; 1006813156; 970215079; 927136073; 195790523; 559125335; 869609561; 247387536; 1028148996; 623291571; 934973991; 962041568; 903907886; 566728465; 839265988; 787310621; 54068255; 121045030; 19218016; 471607881; 448717805; 709090311; 430142527; 648733226; 1055653504; 1010510437; 591497185; 765069268; 199835214; 523702403; 267680421; 625084149; 770806404; 410481485; 16456525; 976405817; 253467793; 550702098; 290641246; 592239103; 557052563; 372804973; 816981344; 593583529; 1043531611; 649391851; 589940458; 279414351; 379434895; 856467098; 340656864; 858448093; 1010075071; 133992058; 440051668; 201756904; 262236863; 545587450; 61397162; 850474794; 111971893; 754024085; 948005630; 659412676; 49984583; 59214914; 264082472; 12260626; 879293712; 210887802; 963371981; 641936312; 420388718; 1019657324; 621680985; 891693554; 615806884; 817886946; 179387764; 359806101; 521702399; 246846770; 447058399; 569412201; 1045929809; 885793953; 738516756; 218276489; 696244262; 663712025; 319371827; 587347832; 702697146; 13128550; 620722725; 311343778; 79719120; 460656878; 97568296; 682682760; 37115837; 202141837; 843494603; 826384924; 378409125; 756270918; 854726814; 186633673; 144043257; 493533277; 322310975; 913999358; 780469427; 43208961; 177269134; 274766951; 13015737; 60247417; 167873970; 136030439; 813011161; 1056293838; 742951736; 138924884; 157358086; 438882622; 742249939; 556653670; 292947259; 661892514; 507783124; 1028951781; 630518940; 921390915; 325068582; 823688032; 88844599; 295410853; 689154313; 756276454; 790832840; 142260562; 36306444; 522836017; 635763469; 771739028; 166659551; 489337105; 990596318; 42063228; 392154426; 881025381; 812193296; 389129865; 885927583; 362234796; 817964610; 886342544; 158906657; 900269870; 505958831; 465315133; 753668898; 614954201; 358035723; 375222163; 266321707; 944542294; 580203315; 861099062; 732822398; 1039305322; 959820112; 659921430; 309393039; 273009283; 564674378; 1015846990; 652716368; 214195530; 743912585; 444980494; 117388923; 160430772; 685130689; 129529046; 176946638; 98073974; 1010423661; 73977218; 207835732; 637666928; 995706213; 957693648; 434518432; 578221803; 12813478; 674667790; 752994206; 614785379; 731843001; 540577463; 214410207; 43686360; 481865982; 821909713; 954313513; 135046392; 696109246; 321219621; 255300797; 5182445; 462814020; 983527439; 546120869; 443230731; 897930640; 957727464; 66247009; 172883691; 830261481; 793743296; 573536458; 190547948; 363263131; 562458035; 450636627; 2536318; 1038080924; 1023179209; 737667251; 222777631; 1050658804; 436639108; 524057608; 126660932; 494190371; 753132010; 991144299; 347081785; 753589569; 825116338; 959488344; 723542229; 124298200; 823096622; 882108658; 845355056; 640197458; 964533786; 893231690; 235736521; 499157302; 457507163; 536114635; 546466695; 265669255; 129537342; 310427446; 998684853; 773417811; 450665640; 502032194; 309064214; 842461033; 741611464; 770056818; 92433428; 465554956; 200763617; 281313729; 601326165; 886843896; 86215244; 14904328; 434090807; 133575549; 445266587; 831005978; 551167023; 1055837661; 803411397; 684239963; 459431782; 574029144; 782270702; 482604669; 393533030; 522103380; 101006830; 823969041; 357171534; 739361827; 876751239; 604708536; 800656471; 797280109; 96172872; 481462668; 89979294; 947481415; 901067617; 35441653; 223070912; 705017627; 766314218; 527294535; 624853977; 871749336; 501716335; 1036724038; 628686387; 81134405; 564813802; 498867795; 42712690; 1070481155; 769747371; 869432094; 50750004; 657977845; 42858716; 173145383; 593497858; 39614985; 217754310; 340610025; 337751587; 1034739685; 232816821; 861237116; 887318354; 997833418; 126107754; 145573885; 477624788; 904633922; 847334921; 821061947; 753760834; 913376907; 814063655; 141818132; 381552117; 1011498339; 240393600; 62616545; 693883751; 734149565; 512994499; 932395814; 230216268; 79072458; 327432258; 718342295; 463870158; 7675912; 420302867; 797559547; 1034934863; 847589445; 610206197; 479448622; 160205580; 870561984; 838302372; 430921795; 1065004463; 147488505; 990547628; 968458320; 933254721; 386420259; 243559993; 47210242; 674149252; 500177438; 771389824; 711354601; 994179840; 259806186; 377216697; 865560965; 64907684; 267366779; 485712360; 981762491; 719225717; 482717809; 1048655780; 364538988; 992823667; 33749710; 763211594; 1047383128; 295206314; 269368313; 1036376040; 176381473; 326443353; 94558632; 292987723; 265659556; 231754807; 409202854; 528292888; 772429613; 54191008; 655439094; 324442972; 703224066; 679567004; 990018345; 433696043; 397856584; 505145732; 466855135; 859242538; 682753555; 104886002; 1053653414; 692918112; 258167100; 420774753; 288615986; 602401577; 819343754; 535458793; 731814877; 143491230; 688885098; 788139828; 593575452; 701378189; 505945227; 419915176; 358810495; 332819584; 352242821; 734084733; 354344648; 288178014; 862680407; 919669023; 179828895; 242230339; 465326024; 73376398; 866997562; 326882896; 829709575; 469386244; 589743520; 385491608; 367402538; 705028383; 849513943; 546901735; 989517725; 609418265; 664029352; 138911736; 502392874; 212814399; 164977912; 531757265; 615998278; 228646703; 1024420735; 391431434; 1071069503; 157823281; 193368517; 667459153; 30939589; 365021499; 356255849; 604514142; 732208984; 644297856; 369637997; 591720219; 468045995; 848949359; 756737913; 572568310; 760167248; 145599498; 1034980814; 711361916; 709439285; 347671671; 737977438; 697959979; 192420444; 217632425; 480262955; 920048915; 492089448; 284230091; 259901969; 977693748; 980764714; 710732433; 8497241; 967977592; 859239486; 179581293; 660466425; 319208699; 858357288; 244460762; 509452097; 770105815; 133861319; 433606232; 66317183; 232555132; 675797188; 339488374; 342680012; 274339172; 471766001; 1029341876; 251449976; 734933430; 292002878; 1042915839; 588918149; 561675753; 387656967; 1005284358; 376921232; 109107650; 916360817; 564391070; 872527747; 809475034; 572744403; 137356519; 1036594047; 23399150; 883803005; 173432418; 243393337; 714390194; 776086442; 353485078; 597068481; 469201039; 269971033; 366661153; 178512717; 641439525; 450315669; 497623018; 3975536; 57864345; 724644787; 897645868; 894963819; 267538843; 947424549; 1070298450; 227870893; 495903660; 528719495; 202669449; 555314669; 302727405; 897558509; 241235357; 367505632; 233323735; 57436138; 708055151; 1069603799; 666594448; 745182511; 1030488085; 910554868; 984375460; 287656068; 738360543; 831422588; 237121781; 979330861; 454724750; 691134262; 688298533; 631057756; 1037618655; 789356877; 146681980; 630748471; 230537189; 483368028; 685024183; 993247004; 900313745; 549595809; 164143837; 420356915; 638067667; 369250674; 845429594; 916115716; 224800862; 558391781; 665837102; 940828190; 372461551; 1031402991; 669640077; 998556619; 150712052; 150772774; 435033601; 318950978; 261450285; 455646051; 913932065; 242127248; 1020758726; 620404509; 71423478; 274552608; 332706538; 440625173; 1055102303; 527296754; 803910289; 207626189; 787570640; 873975188; 5850459; 667721871; 44746415; 206474876; 657993757; 875499502; 828552598; 962929145; 492114982; 290332849; 817514932; 824012711; 59874039; 831692163; 519441081; 848654012; 562089122; 969160701; 907602426; 794005362; 958882126; 217967050; 946417789; 67061919; 382655122; 754620797; 34462700; 644904048; 982133960; 885283168; 887886362; 699912376; 338943368; 459776722; 370036916; 671614701; 959384029; 1036285649; 350968935; 419164369; 994976749; 662121817; 966983040; 772491708; 67889889; 953944897; 791663073; 864079013; 183690506; 972292911; 940326049; 905779421; 627051128; 679292762; 28433725; 862525393; 828545349; 405556739; 866462085; 77204576; 100455496; 18517399; 101354101; 854238961; 350103147; 423826807; 899797316; 589821070; 917694743; 1043873336; 440827086; 270689908; 788212959; 106963657; 930393480; 162807270; 1003757328; 289626271; 775561587; 832243078; 941307335; 475382543; 678380875; 23534557; 330737357; 680739542; 16117743; 919941182; 914003796; 175549906; 905977120; 314042470; 598299260; 1017029731; 735308022; 763448039; 310983144; 1062201539; 691790869; 743402093; 639487494; 826421688; 4572973; 1010315553; 816226879; 798631152; 263232910; 1047415769; 879622832; 91012236; 166393324; 538313648; 525443086; 670596865; 465509452; 919585379; 709237128; 796527409; 433402212; 73988644; 120454506; 988631864; 316731334; 576513249; 343715250; 271219634; 183163594; 120432460; 590226529; 37161989; 1053417274; 156538816; 757557538; 744135234; 316680155; 380036534; 211804770; 394624182; 196658210; 125822431; 992844817; 909664430; 583075415; 437192665; 76291932; 594343356; 848323430; 445135732; 158500909; 425663988; 417558739; 819691992; 712710297; 917752403; 134410201; 295368416; 426859553; 657764783; 530318683; 469722396; 469232777; 314795627; 816281543; 289502985; 392297622; 619303972; 252738053; 328841657; 1057811310; 826055398; 1046257379; 903091878; 27124252; 739813873; 49217795; 322938250; 342801839; 36442360; 353841571; 913436807; 60989356; 868472340; 68407258; 840065804; 822115302; 837617448; 422862646; 1057359969; 253691943; 785817778; 410226851; 846031215; 395588371; 295967710; 78749735; 383345656; 214371521; 465097679; 958454415; 603756247; 562700605; 1028953506; 921615684; 210637617; 110214603; 800733338; 463188214; 442083827; 470410687; 468122965; 213306648; 685183011; 762889148; 632276576; 716699827; 967918079; 548868902; 998031234; 216378842; 841123389; 664984372; 78544517; 950157676; 566440827; 460521431; 367929203; 983129682; 544841547; 983203203; 949754311; 552685685; 182300841; 69051349; 548904966; 561688959; 363985812; 102228268; 575764852; 884294160; 126060093; 673253469; 134910867; 51017561; 940127472; 462852760; 938807985; 427876424; 1025486170; 467181520; 613052741; 299862722; 379594822; 746042218; 411968863; 993094410; 604824424; 946956275; 539195756; 486887393; 478343977; 795889050; 497419555; 21751552; 562463283; 1045938545; 12284090; 513016767; 531816344; 507713719; 731396861; 817978493; 850337218; 644041115; 135565528; 236612360; 847938193; 867955193; 664829310; 546620184; 1589961; 449153868; 1054006934; 193792923; 435639869; 525741795; 192335550; 675165660; 696109648; 185481046; 660227825; 111276603; 434077386; 807032546; 1006333327; 264095557; 643391674; 27950241; 180768562; 989265893; 647426281; 687891290; 386046762; 587362714; 437521564; 729522391; 1021488437; 454779290; 519179694; 810987645; 244879521; 440781499; 147427214; 917538477; 1067791157; 397432455; 876916149; 395208414; 285474286; 483465169; 789119934; 273325710; 800905763; 890530902; 495267551; 490535354; 24651351; 412411864; 1061711996; 266477074; 400279930; 949647774; 127830582; 1022569882; 418794599; 871288358; 977005138; 905845331; 537368516; 507855530; 285398754; 255774440; 446827112; 963723124; 463782725; 1006358041; 986616524; 20577947; 641246198; 366006973; 773820339; 620827222; 898103487; 943940860; 780978359; 514217265; 312158346; 106771960; 1065516395; 816288078; 870480238; 288898197; 613994255; 1008849651; 1070632478; 669251547; 865326; 139128030; 839609376; 780982978; 411979033; 487360589; 257777654; 333523790; 607317409; 521314235; 935139570; 119593639; 996827562; 751829367; 972988459; 496992618; 862637457; 802111345; 709917972; 138960811; 293903252; 804490603; 768307693; 1570416; 84889530; 631713355; 519331812; 52704401; 183109452; 392075069; 591419097; 744697839; 684937627; 519974122; 279223185; 940826704; 312219079; 251854826; 119349564; 936714930; 955248938; 715741190; 113385585; 647840474; 532876107; 997074401; 286759263; 789889853; 854427135; 717239204; 409664225; 61146509; 998483901; 523526410; 947416920; 148711328; 392234240; 1021538201; 994487386; 204231142; 185514815; 378405873; 48942983; 314013095; 339162299; 1072660472; 620210802; 904285922; 276886415; 440732673; 31989127; 143396102; 855772963; 453195770; 704829419; 768050695; 362601846; 85223767; 941151450; 1071848282; 321095048; 553342021; 97152862; 301493733; 160353016; 818767764; 790081308; 62177011; 568228873; 587571568; 319923880; 117377168; 523933496; 1014433232; 319595540; 322061130; 1054655271; 183901552; 998694874; 895804375; 580541461; 668492748; 1043367618; 411693785; 551416497; 683595608; 895967937; 935883598; 868958985; 227262182; 766182471; 1000690886; 800704213; 827459235; 36961081; 146582015; 191894873; 62842405; 6975313; 80074773; 337122873; 419132835; 185011379; 251301537; 782904719; 819779179; 247612425; 572203003; 655231102; 794490077; 751047002; 602153524; 378908490; 119126973; 441703193; 864357704; 625831849; 871026523; 394858578; 1050850890; 1024738785; 839831976; 951089918; 1006556861; 933314180; 1001403417; 429729048; 214991031; 342332522; 643470506; 142569916; 935579692; 77226577; 782108522; 310828441; 414644446; 373121251; 455445762; 760444194; 35163211; 502364705; 30753948; 277073624; 208922718; 45262434; 620337688; 991507382; 899737949; 541461586; 956024291; 90638879; 95811318; 746832160; 244488250; 167170659; 104864010; 118564877; 912502980; 398502741; 349089773; 389214625; 703797620; 557798681; 93753496; 726591247; 666107580; 97053685; 115067842; 935617500; 679809846; 752815229; 739204164; 210777481; 779965229; 320506146; 579300435; 714497163; 373495718; 766945508; 430450112; 492187502; 6373681; 667339973; 1013116646; 161526573; 132193859; 124689193; 205521544; 368701515; 163534613; 319132241; 475266964; 943842851; 698523735; 366802115; 456456397; 468980577; 473676269; 722836653; 639962769; 80497887; 896391264; 451524885; 478676124; 724677025; 595362590; 867583241; 376262715; 134652937; 455450850; 395976554; 478489749; 543656744; 685635428; 965956689; 652057202; 1007892075; 278485627; 873970783; 233203874; 720829819; 542444209; 58802008; 666616363; 889161549; 581552948; 88415508; 515358668; 729174790; 8596319; 232842982; 132659666; 1039463200; 290720521; 320547972; 950514825; 271017585; 773728394; 627671114; 491172092; 15222286; 983206317; 459210274; 10667212; 251727066; 330276988; 171934702; 986836095; 1005901994; 40381412; 516062019; 392598040; 450355108; 1038085963; 55761814; 251732632; 985933890; 807714893; 128844584; 1004063920; 1048103565; 412546046; 728053036; 908729682; 241747176; 413408639; 817389362; 388598881; 567018152; 1012392440; 474317845; 205309109; 519220452; 980367750; 748145034; 787438869; 876970800; 191307913; 947182846; 233147721; 183314773; 326960866; 488824530; 999784900; 314375925; 729393681; 89393462; 968791791; 294116967; 277302419; 667428385; 1037107454; 1062192843; 203581; 865424134; 389657251; 385317709; 79175266; 506005644; 920799859; 380768579; 317319557; 555098506; 659591089; 190290758; 896348046; 485975938; 543020580; 494925638; 321483952; 696292389; 57546017; 869669649; 696518236; 324194720; 701195443; 567578122; 224005924; 643272724; 768750588; 722645970; 942586548; 375362798; 643915950; 493456632; 668807199; 574321975; 282049137; 92836134; 161777101; 671671318; 49414130; 590486292; 1051934471; 906987552; 1060739200; 107782107; 789955599; 345958253; 191015302; 606217389; 227570050; 622887502; 349368143; 534401662; 107720836; 888022658; 636109671; 957037544; 101018003; 993478114; 354954063; 574308439; 464568785; 721421447; 524139533; 970106120; 449963804; 673838386; 814776189; 431050633; 918730813; 283002109; 833128411; 673653487; 957791600; 845073344; 181011003; 67762632; 254109435; 599098861; 1015110230; 110251401; 867639926; 111576958; 123577940; 94537574; 365019505; 733260311; 178579203; 993300321; 293205600; 50441450; 600856081; 813396478; 305119992; 387391328; 402149834; 490715351; 489191027; 215971223; 888873624; 940686539; 159601780; 942775561; 180001760; 41723322; 599151305; 559045003; 300006360; 415740942; 704983664; 1030042549; 258491434; 876309730; 123059324; 72169071; 146282951; 937060448; 825090234; 793655539; 972624144; 947636387; 258387618; 745006183; 513787128; 807233725; 832867008; 170211819; 246008308; 535588176; 495668774; 38637709; 177955742; 102419581; 785449959; 345313827; 780978972; 400967479; 226381036; 106410208; 542080427; 182553131; 185294884; 672193441; 939582523; 364775887; 629058008; 196227076; 444034074; 652160535; 609462167; 1023979551; 623631382; 408976503; 295368323; 120043789; 1055223739; 793355948; 785642677; 235017028; 376990523; 985174808; 82926738; 698208717; 1025234306; 109356444; 566984390; 933342394; 224410371; 180485915; 25184779; 964556876; 495182621; 629407111; 1051811512; 706908894; 556828829; 448813903; 99698606; 507069336; 410944696; 402394445; 93312528; 284335940; 1040236922; 241379914; 24450294; 29406254; 312477768; 395852380; 833631263; 75662287; 726208095; 683367087; 682954384; 160172893; 834007590; 734693208; 293307665; 95322761; 901498834; 163453744; 582298330; 530059291; 459176444; 426163736; 856973191; 1050458471; 541156831; 944583503; 1033452728; 681065592; 603641979; 287750171; 107812104; 655135930; 174402035; 996038742; 664042485; 272203648; 216683967; 447239646; 312185402; 607479554; 463237014; 699295787; 861044954; 433795524; 345066643; 606764040; 438234547; 594038417; 348394114; 308794168; 290030633; 539662114; 83276232; 161108756; 367312444; 739823862; 288127255; 133999452; 607741419; 31174162; 917068149; 987827980; 352026224; 391231564; 956342230; 798848701; 238530767; 346186796; 469290489; 467728659; 623956919; 929748068; 316620412; 11471389; 934732643; 515030636; 875434712; 616498549; 460067579; 104670942; 110855019; 625149794; 973962284; 979527667; 379682719; 50532284; 730837407; 1024198084; 310290161; 364562169; 61895082; 814266661; 350831132; 320142264; 366119226; 955469474; 135015508; 844919715; 1011444544; 420347919; 1025664578; 949913254; 502107386; 586435820; 662324072; 508335236; 31816297; 282312601; 94737591; 559411846; 896515165; 56611275; 465586954; 360350022; 268886791; 52032364; 683869482; 1005942152; 422381057; 298134732; 699264228; 946527837; 254777000; 926034343; 136022406; 680655198; 1046884166; 647041254; 591089900; 127332401; 36363395; 619535234; 901323942; 132177254; 894120673; 853656874; 44817185; 290220276; 1053306080; 39918521; 1030680690; 156400878; 692732014; 783234745; 114078841; 856654850; 881989548; 682202558; 820558200; 935888980; 715530585; 638999517; 593645505; 465691866; 1000038580; 1051620254; 757291598; 693618149; 927258363; 177199444; 902290792; 982933158; 882008677; 1072798778; 1026223527; 1052556035; 143079839; 288692952; 86396284; 835585741; 656128353; 183647754; 674978672; 55880500; 606288409; 991193409; 99866118; 936390497; 510686121; 280593146; 832248749; 319231191; 732341190; 361286408; 276419779; 894239113; 876811498; 628125083; 170823681; 23902787; 718446839; 266217873; 354725864; 794729820; 948114275; 932258718; 821830271; 295169850; 312024970; 102077834; 82357725; 207584127; 354250977; 590309140; 444116056; 438277986; 542979581; 90271731; 628270008; 602196932; 150611745; 594885738; 79441961; 31588645; 631851281; 586865781; 649633969; 997171811; 446364687; 851659315; 972025591; 644283675; 144685985; 722385598; 367491905; 615116287; 392730821; 494581095; 140013710; 26060862; 743451103; 1039953461; 51497665; 334012251; 788171866; 185633883; 649822774; 717774204; 424750131; 1060440136; 1004147345; 441179959; 569388825; 172374748; 1048202218; 577939625; 463256675; 732756563; 340239556; 374216709; 224416448; 373224418; 468305412; 512020; 53385746; 661615459; 742540160; 546489402; 513408533; 372936371; 298088954; 92345398; 970417125; 164382915; 669411305; 743688703; 326267950; 216711018; 411008789; 905131341; 515326653; 1073199309; 367732697; 187774233; 849545442; 665534318; 136401238; 93274479; 953592983; 474939089; 764565246; 161420275; 5716261; 75375080; 555091814; 333639113; 1012461411; 245223041; 858427369; 995877230; 1051027904; 896079037; 149576216; 613900677; 966425743; 96181608; 539582261; 160307869; 736079082; 701951787; 926652611; 300355725; 159233719; 610466101; 129470028; 262829192; 753764172; 472377215; 509465818; 291344511; 61690949; 873014772; 754754755; 1067572712; 288091729; 669549306; 953590349; 325851078; 486040098; 701681188; 373968010; 455644245; 577273434; 99672206; 696914766; 546467057; 637842857; 790169071; 876788498; 672913986; 587974618; 1070883197; 740769583; 714088603; 1053399589; 96239433; 241893173; 120987958; 403421208; 942952334; 582871922; 530491450; 1015968729; 955232181; 512857714; 729365916; 780838057; 150123054; 922417204; 998914101; 443747146; 371020783; 362631518; 865455577; 860154534; 202394936; 318411373; 971594827; 339441341; 278686595; 781222835; 799366767; 761390083; 608310420; 881556756; 649205017; 218371671; 1014508124; 334496949; 956606453; 718742889; 98462998; 99896228; 164893934; 368483733; 568486897; 152911601; 449343571; 744048698; 408780080; 51936420; 611860915; 378914622; 388471923; 822478127; 9192536; 266164663; 948174796; 395117826; 334150519; 661062750; 683558831; 240695141; 1003544810; 168590540; 342725599; 275557700; 899760085; 586365413; 259497749; 172904880; 932112736; 64524229; 272148707; 910475893; 170496217; 658313418; 438706570; 1062827752; 183504025; 865094407; 896728506; 439204193; 970434789; 7640093; 52147317; 470588271; 1061887354; 198767876; 572462684; 682573913; 431261501; 53516809; 5610294; 124805028; 997201446; 83367149; 4354758; 570494409; 103569625; 133538333; 821655069; 242032038; 11074237; 900667511; 956522625; 894372001; 335867034; 969568867; 1061043230; 363443423; 224813678; 114041389; 660924312; 713842552; 806405643; 21903275; 767326868; 529033847; 503669587; 947589596; 99746286; 488949309; 659354971; 144255470; 768634289; 74169341; 1026888473; 322783907; 1041291270; 560376659; 247897217; 56470192; 224332052; 260951774; 722635469; 488296966; 158162916; 223212404; 741354208; 826062467; 192599797; 312601929; 285173931; 688328611; 67519394; 231410990; 816202966; 798134742; 176979671; 303064201; 13026343; 1049146676; 241068491; 863337796; 400772803; 963995451; 545923810; 754521826; 893744011; 805407097; 305171604; 645861943; 195933953; 129201309; 497751887; 221575547; 73126524; 262621955; 92131345; 619984477; 366939703; 869935238; 854431774; 829478957; 1048249477; 774205554; 746581096; 129861725; 987920435; 614418041; 411398408; 997098968; 83234269; 371828292; 913735849; 939195874; 168226738; 963906442; 771252600; 990447703; 628827050; 416321078; 927474579; 782095064; 90715403; 715805866; 593239655; 618736922; 365743111; 778398918; 790598213; 955285033; 408131437; 299921436; 274539793; 624052785; 99442499; 121638613; 1057740108; 60248193; 13483651; 473414146; 87227653; 289097635; 549489253; 355353125; 713387185; 785216547; 481109733; 399817308; 206442579; 996237607; 174328349; 1003696697; 246817968; 390241636; 347755268; 246370727; 915514027; 659585844; 175960414; 1040075326; 775198940; 306463771; 348755797; 878978927; 959575649; 28952120; 337862505; 220921339; 228307632; 310481717; 829676254; 826207835; 300241152; 509516846; 459320743; 286813757; 406140123; 633154344; 249780339; 896288132; 813103744; 779315850; 180285499; 612017178; 336754111; 983611577; 229081896; 458321705; 226522053; 750722240; 1022020217; 77572746; 789849892; 247747954; 894736055; 611832984; 301367469; 630275331; 815132713; 710751894; 731286411; 35839653; 998933356; 585050770; 926584207; 67723382; 857417025; 602217535; 936752272; 590713822; 951266232; 101459105; 169525468; 252675436; 321880553; 820624838; 152300912; 442217899; 67421800; 324894397; 753291886; 580236047; 107109330; 166838506; 337765511; 478038945; 950210401; 857098004; 891478912; 751078712; 953870186; 133351047; 791965104; 262066093; 891148437; 506621902; 817745419; 527385751; 932357594; 1045183221; 801113775; 344682555; 1007737254; 645522233; 144666030; 715866879; 91010203; 148066600; 515709672; 299881754; 729229361; 1002782681; 691011084; 3776944; 297081427; 229267677; 971363255; 311519315; 50775011; 372768262; 1017824208; 167292135; 729850465; 497294362; 180151313; 500260965; 1019944715; 989714044; 664825703; 229290688; 998095696; 955614741; 757612081; 107265024; 538120675; 517737766; 633408114; 226163928; 613575391; 275536940; 534541479; 947725704; 802018390; 380153135; 987779867; 643302400; 476426976; 221394052; 101214576; 606277668; 920538448; 687851411; 216925926; 278574898; 205815851; 405342029; 638299069; 281375140; 27408644; 198914129; 756616769; 514540443; 961760216; 280253894; 171596857; 552247935; 727870226; 642550503; 425741775; 702804928; 919836634; 40501390; 836263234; 798902257; 643937865; 876929031; 505524044; 251484421; 1012163703; 75827295; 783107484; 671043084; 192669747; 735907121; 337273418; 890302452; 1005052238; 952248901; 164553209; 585925686; 598394430; 97096501; 654722250; 271405519; 71030548; 451248738; 312115214; 959706212; 991072036; 441112459; 497416725; 490583713; 396224612; 624908568; 518717173; 417957517; 319226717; 494745117; 473243797; 69425268; 496900045; 919895268; 270432096; 447570761; 152932400; 1056695734; 458566912; 289513258; 790025054; 999871609; 1019424348; 3366671; 95735649; 180550557; 307905592; 1014163778; 46377070; 559268329; 1005795348; 75749907; 528660310; 617185006; 654595540; 340391475; 667341973; 627227686; 911321781; 282133393; 807911173; 2336233; 417077330; 901026042; 684078090; 181922397; 643872094; 293074536; 12141306; 176742688; 869370857; 119934895; 609497800; 23135974; 604632011; 406273323; 515526549; 500807629; 839629979; 824036799; 911414343; 355097634; 21150916; 616782641; 449685467; 253768373; 60136332; 452331826; 246266313; 958809750; 1033547404; 161327755; 343809551; 453683731; 94093012; 394770249; 1050639496; 121831650; 286302184; 347168282; 556546329; 391181726; 563362340; 843249414; 189700520; 352350983; 769985920; 47945848; 1002948087; 717884555; 978166997; 1026121147; 565038812; 192720621; 531351523; 700063758; 235790526; 494826764; 877169429; 891441890; 82460473; 544460972; 456902438; 186681861; 323779806; 960998693; 726670064; 1053008583; 175779753; 243819521; 766627215; 78116509; 560545786; 468248013; 469969772; 307332933; 145778040; 8844617; 610219099; 145360115; 257553140; 431180807; 493004712; 19010848; 943870409; 548449205; 371355085; 906952902; 481160254; 834094668; 541265259; 545800419; 235222395; 653594507; 925917201; 951830879; 187193134; 737843620; 387419654; 51625841; 605383668; 159822725; 735649341; 786175332; 220903897; 164260088; 938811700; 605859917; 188590864; 678183467; 525321887; 233434401; 814964001; 973809709; 945058750; 66757806; 192769338; 434883748; 1072380403; 727951882; 14857097; 92641963; 127206017; 673205822; 219563032; 358114190; 1027689262; 756700140; 425995946; 1055103229; 425827038; 1034305363; 67027868; 873055064; 513178826; 531245608; 792187438; 1053998611; 77789368; 26313938; 1047054305; 1051641823; 741291145; 1063877242; 313056758; 943315211; 102955627; 925596165; 4312474; 855679517; 711871407; 582145026; 630744777; 82506279; 308572380; 858154298; 837906814; 420374556; 91505456; 75909120; 889138331; 428378204; 900603762; 1004712132; 422982830; 982919777; 887089702; 25647134; 669016343; 292294508; 218006762; 632697932; 206029671; 757648438; 705867790; 89603756; 1051024036; 202642859; 489081541; 523496438; 728748566; 1024953224; 4625128; 651272456; 908831160; 227009987; 988475471; 300885626; 1064146966; 973016328; 203950199; 165686287; 356286955; 895187391; 467313930; 1027351719; 780219408; 890119367; 679799501; 65182663; 870841365; 456447123; 649600428; 500718863; 452787331; 863948081; 885049632; 244495606; 817601589; 848072408; 537562746; 195683860; 809781475; 989255930; 401870029; 289415613; 641000336; 544528377; 889706492; 444441409; 1011498453; 561795375; 354059237; 677784487; 741859470; 867485285; 155010945; 20826848; 956447214; 38595593; 998076573; 758815681; 421512165; 666784583; 464273733; 1045927231; 444777483; 932915702; 1058674604; 255638841; 137530308; 41948812; 353041691; 999995026; 717137798; 813905687; 106726325; 542432285; 214846310; 552852226; 481707004; 358374083; 11632881; 705155583; 126793440; 847939274; 498004864; 631041782; 371825484; 607290025; 640084303; 1007139583; 219651395; 710279981; 17145712; 242959476; 982688056; 109945378; 835724262; 650922442; 954816802; 794995216; 916713987; 180280588; 975912154; 1002732312; 54673755; 728626657; 384328869; 388604358; 1010471270; 353660512; 128172256; 589086311; 922624693; 521384567; 58447388; 677741486; 1062276087; 238105832; 343043315; 520535170; 18435714; 748737657; 638017722; 655063727; 271445466; 68332626; 797012958; 221089567; 848019391; 173881754; 90998229; 293882594; 318772278; 733982812; 150291695; 111677540; 170103251; 125394721; 8543969; 810757910; 580206085; 468685401; 149676686; 327444819; 630252249; 764013412; 890809749; 591750180; 476665160; 640310377; 607021625; 653219693; 909394023; 208228454; 449163385; 109444383; 786323517; 183498601; 109410948; 441197458; 130108663; 912926661; 836383100; 989490154; 303475803; 835286451; 281808811; 161693503; 495110019; 677196897; 435365854; 703742836; 653992009; 153473454; 984175613; 474628307; 73211968; 324726379; 1059104598; 13534967; 154345489; 268565064; 822193915; 504604109; 341065427; 505848621; 854907276; 720403301; 17075802; 643034710; 917651358; 871167538; 955055244; 679001077; 25447263; 932544882; 86238955; 372056514; 469093036; 872400084; 382778901; 498109675; 498164180; 683429767; 731792414; 676521670; 139248096; 309648476; 463401057; 440713767; 119249436; 722728247; 563482357; 296973432; 855961826; 434312735; 248416875; 982922782; 1058494488; 637778501; 395171417; 428119837; 974837885; 1025451105; 841474127; 926150283; 463801734; 1004720433; 122663415; 583301429; 152602963; 35372983; 11013336; 1056332604; 255981753; 584934461; 673186191; 504486049; 476226116; 445543147; 674913962; 195587969; 655856479; 584526384; 807347471; 630098621; 927861117; 757224772; 1031914296; 728571938; 883823089; 897361961; 1009075292; 720975299; 1026725712; 1024726288; 412321278; 297787823; 2395793; 542161897; 529734302; 617640797; 400977179; 298580605; 315440144; 385713959; 895176399; 742913169; 466421189; 919579903; 851503464; 478412162; 981335122; 313203070; 652107600; 573955003; 1036316526; 143542717; 618322107; 593261185; 970224758; 561277390; 23061379; 176071862; 899329018; 763241205; 525420743; 1034429327; 615646028; 74197033; 810066655; 811284727; 232362612; 1027018413; 436801374; 202704845; 838865730; 786318729; 906225476; 251134699; 830663436; 275034176; 50244242; 304725825; 431408632; 811769351; 852130669; 179585459; 541861643; 495170837; 349395747; 552991815; 287334535; 670094511; 395572410; 465442378; 776588941; 872607221; 1015565180; 536727645; 422786717; 175505016; 114960264; 781046781; 890300881; 490263883; 103523111; 199570880; 261290490; 543167327; 860973293; 289779156; 210349177; 305130467; 477670786; 318216809; 874945533; 567675031; 422008370; 137919736; 365799585; 650801040; 683974479; 69992016; 554140742; 603112096; 412982755; 651823188; 817867639; 974974551; 356307450; 360344176; 633548741; 269674258; 94742806; 64819604; 898250669; 993619249; 78010821; 442848726; 791092392; 710166545; 745014566; 450291334; 808720930; 346508561; 849322970; 307606140; 468334781; 11886206; 5970446; 332922542; 728040666; 158140741; 664068066; 5263724; 433471993; 627620612; 376236921; 891195114; 675667282; 952325804; 194611986; 778703133; 162528400; 1049347846; 225292059; 565355658; 15127959; 390093817; 930103552; 1001373480; 190643964; 879487516; 946104512; 163491097; 18468926; 478169249; 867653341; 775996374; 345165614; 352185125; 337146080; 845112622; 356730002; 522274705; 980176311; 911550362; 615063202; 386356504; 499996095; 594913419; 691786266; 558869631; 1038425105; 1016549489; 533019167; 921984193; 431032873; 396663345; 307433111; 611450815; 357197784; 217689257; 965877974; 298390269; 694807589; 229675889; 150811760; 119090671; 677755636; 90926880; 992262859; 31465656; 988716668; 3213586; 146266525; 725371322; 1040299009; 386514024; 944542492; 886628510; 761956433; 71817281; 823618536; 700344595; 233936656; 63555639; 167808985; 343012910; 675197024; 340497234; 417886648; 280740951; 635231552; 569128235; 798065594; 823679102; 62025096; 155753772; 443334968; 143473980; 66706489; 68047001; 1039010287; 256411159; 197631088; 50462557; 382842236; 79477375; 575091860; 249757134; 1035447830; 222277511; 731700654; 902388245; 696156760; 108339909; 21281179; 652435360; 265782637; 767446509; 742841434; 573276444; 956878285; 467516877; 174539235; 143900972; 549234543; 93284984; 183283423; 801862434; 839243250; 919664392; 465013632; 457492302; 1055250759; 616506155; 859464891; 844452992; 60507614; 138823797; 152386682; 148264394; 143060513; 1049693051; 1035425330; 353532082; 290298868; 569312179; 522145386; 718622920; 7953467; 837858386; 98611925; 1033357964; 1058293637; 889978152; 958944889; 721142649; 816003440; 705583621; 256202226; 181335065; 834924522; 388213438; 508045096; 906646214; 112443495; 952352912; 531645619; 775454669; 374244550; 365415824; 1057923056; 204852363; 164117957; 749244562; 489210345; 214897391; 1057474268; 869563541; 127331948; 863276056; 401616336; 99921504; 413736048; 253239620; 24377392; 652715129; 989807467; 707167167; 962525934; 562223393; 139199885; 685633095; 838498808; 64711732; 610302645; 641380118; 272630100; 445803887; 119115784; 1048487387; 354926721; 505637796; 450360802; 242785764; 243752971; 435061462; 530404518; 572576485; 796363270; 307151787; 343267530; 168948110; 906992250; 225670186; 671498329; 649336888; 968368859; 724887460; 44009798; 1039158129; 1049766657; 1015857186; 743987003; 10255749; 967162446; 877812321; 51250159; 674443172; 118555879; 87904186; 17925245; 760199344; 108125182; 426212590; 1071497690; 143816340; 338267674; 115239067; 845271136; 1004184184; 984939067; 738436361; 854324003; 309130924; 157853073; 676864752; 1019282595; 284889062; 448690808; 6631228; 967932247; 627234222; 310551360; 251567749; 778275269; 495334273; 849900973; 9905672; 120161768; 1069003622; 1068713375; 36123584; 834941296; 1064027926; 617140611; 1016493826; 735647722; 978856326; 235672802; 160253535; 811599420; 995193247; 385361194; 173399109; 305200418; 659611314; 962248912; 746628073; 517350301; 959361469; 1017464685; 647467506; 757431268; 795929427; 659860933; 958669389; 531503404; 728517536; 343999278; 181568396; 322362246; 582084595; 841997373; 748072231; 323192345; 166246461; 197520058; 1064849285; 937730869; 429534649; 507387696; 523327850; 399934658; 959689181; 17117810; 223300165; 231943806; 424701946; 783129346; 459545605; 175997169; 586463076; 275588145; 710350451; 105709661; 683668504; 712829726; 913461991; 106541991; 148409341; 788272907; 173538936; 861259419; 854349426; 23249765; 33426186; 1012751915; 918652650; 925609538; 421045919; 467163812; 428585777; 582456754; 236327769; 969273536; 929792250; 887258660; 624440152; 785252340; 849085269; 573687787; 918175957; 343355345; 739820602; 965566255; 207508153; 188742483; 223418221; 499222944; 437653027; 298265534; 684726977; 1062442624; 246513693; 1021018875; 443337899; 838053568; 837172206; 945934177; 790707755; 961592219; 531913461; 597314587; 1042296882; 200492613; 313283262; 804500776; 576536731; 1050145796; 419440913; 613594369; 404536532; 530766953; 638103050; 379151027; 993433153; 997129645; 579574623; 704416682; 924909194; 991963356; 393165569; 982878979; 830113793; 866706118; 1069802984; 396949815; 713751382; 974343061; 1061832486; 105488280; 368072271; 224397933; 422720388; 910358574; 587876897; 140156901; 739605941; 790892875; 456932024; 162495794; 901623098; 459378668; 31749894; 695693426; 350148613; 877826567; 376556753; 73380965; 819248204; 327962517; 553486876; 497161185; 572829427; 299888573; 331562251; 310734476; 1062106547; 177021055; 625409557; 639878842; 545441114; 1052044525; 874375235; 820827776; 957814850; 136924691; 718402165; 501726816; 698096548; 1055924910; 125112202; 256610672; 17756089; 5073964; 5750129; 515671635; 370841377; 287662881; 946626272; 392910406; 292181955; 566912054; 197423110; 586783764; 344762498; 663292693; 83015159; 42973369; 157165572; 744558075; 660162701; 911987277; 196898213; 280368175; 584102203; 537738348; 533599547; 259186473; 66478809; 93166147; 466508343; 1007911183; 335250279; 323429424; 747173007; 778767802; 734704851; 786514606; 849475955; 681460387; 409631222; 744997058; 43360770; 255035601; 806483019; 171444216; 640490253; 931177619; 586044166; 224757163; 997540573; 132812822; 648049810; 776131133; 262485889; 483969069; 403705036; 676572608; 652608508; 476812309; 898706350; 703399638; 462868227; 663773804; 881891969; 140925750; 539415758; 253197785; 939843588; 989191779; 864569593; 936223906; 601537266; 282988053; 269829451; 1013104059; 842844538; 708444303; 437574752; 944751045; 524749327; 631946611; 699738770; 128302719; 348452542; 26678324; 427773498; 582187148; 267869202; 6311254; 736348009; 128386440; 843769685; 520071493; 369467125; 17658698; 292614242; 260056593; 40202595; 726669573; 831074591; 1014254511; 966380907; 613332291; 1039171592; 219804606; 992384592; 243418213; 667086761; 797483836; 901401090; 962334786; 54414230; 1009043482; 443356340; 452824752; 258402027; 827478086; 70894995; 883356542; 722679275; 272688380; 1053806693; 722655034; 326668348; 11589459; 407499174; 270648934; 94545733; 563356507; 682701253; 715505503; 978416716; 717822745; 325584903; 1043228503; 821325232; 1042480560; 318775954; 421654530; 702753621; 218652530; 724878127; 309908896; 230692868; 275955441; 970898267; 480369898; 702140292; 936933457; 47372296; 904419652; 966321755; 795209896; 632808384; 321697800; 628686944; 924685604; 100007805; 748631530; 30163491; 899012082; 608143022; 221508399; 479897377; 1054343028; 670187558; 603083790; 940108498; 995424218; 321975010; 114436460; 552625316; 118205954; 286087805; 638999071; 300356547; 809232097; 1037932532; 180573992; 951033252; 760246495; 44650507; 884275028; 394556586; 668849419; 55580970; 794066213; 45920861; 352598174; 197584756; 907139225; 410188852; 392259252; 537715505; 114435165; 117802932; 404720906; 880273714; 336424371; 260243321; 654911763; 244631958; 36924117; 551503404; 498713104; 141283522; 78903067; 203588029; 233929689; 48060657; 483045693; 829928771; 35300931; 957827556; 1053438330; 618432932; 786091690; 773084112; 437160558; 1045291148; 503948254; 680986247; 460662648; 42854025; 30451965; 238771922; 258494984; 874526165; 495802331; 479324789; 46631397; 752211494; 546156848; 33100061; 266590874; 148689465; 662852733; 46268201; 1064424099; 881722616; 522746356; 179639514; 427297816; 244803102; 837758807; 443658707; 675964793; 189653301; 867500674; 170805967; 709660204; 39168732; 854071470; 385449671; 208237981; 448859715; 297522110; 1024365256; 268986086; 291426850; 384515185; 793049294; 865046679; 283261566; 943593216; 728900145; 420477423; 261428094; 536470831; 57454413; 160445911; 79018545; 382400144; 209091371; 54084195; 181955730; 1042739743; 408744220; 710440599; 173903034; 297685947; 491409922; 178853952; 1023221950; 408502707; 67953300; 922263847; 264054876; 277257200; 268884346; 309342735; 852465087; 1066105359; 903704438; 288421388; 1071515369; 351621288; 613660931; 730602312; 454749790; 548937296; 159437622; 560442133; 152105542; 1042726688; 942803985; 556310728; 154331381; 851322194; 800316306; 25933663; 656932867; 480401341; 74243921; 129770495; 960246304; 937413589; 92420866; 1017298915; 999638450; 13807403; 586182047; 471909962; 496768158; 76738749; 232958527; 13088643; 205370453; 177481780; 739427050; 895730941; 93028115; 144793104; 1040151226; 289628181; 910179976; 449066343; 428164418; 552893309; 816611364; 571912511; 318170081; 593431965; 453356389; 913387782; 550151982; 364241422; 260411607; 820728017; 1064316587; 480163587; 485145101; 500376455; 631643208; 177309566; 822877956; 976400611; 505213875; 347526907; 1005574746; 539946812; 369059735; 685884185; 1045205617; 135243563; 645626396; 473989953; 618307929; 305145627; 484353924; 507143493; 922344885; 241366617; 311989853; 788940301; 1022731111; 372966806; 272801725; 592364877; 467404340; 913782594; 9815963; 517426180; 948490131; 29995151; 165402206; 934411633; 1003001617; 553567124; 999181778; 125820994; 62629661; 403905919; 513983074; 48108741; 576634732; 1043016815; 632337366; 868100718; 280172555; 1024078843; 1021629252; 834519114; 803642178; 277363183; 342072189; 489141372; 919005403; 258107655; 845364020; 317146087; 193611233; 10259959; 1014564986; 423293353; 792093869; 721516772; 22316886; 1068818424; 949646042; 469233061; 758026416; 435946445; 3593827; 1023582123; 726800920; 323569224; 110374538; 906096783; 847341287; 476972215; 315044878; 501322038; 511424424; 961709877; 113456860; 248178235; 2600080; 961915876; 452478138; 189683691; 572273375; 408331324; 221878942; 691723974; 312899566; 117896796; 434676117; 817164182; 228052643; 714561913; 188258624; 301225863; 740610773; 339727176; 194991672; 91961599; 11375926; 242908058; 330033534; 704228646; 870724426; 131228356; 400810186; 7960078; 240636700; 154279119; 542150827; 480783188; 227556935; 202003282; 285222061; 735322244; 934610939; 422844631; 893762799; 1052744036; 433853998; 797666890; 777137060; 226304381; 43722674; 745001170; 494115248; 78918246; 293980356; 821183428; 409712906; 339616837; 780115143; 872860812; 871555251; 144721367; 131649073; 436472758; 588165409; 1000027870; 354031940; 593763277; 298961836; 54391360; 260409439; 194691952; 431898655; 350536627; 575827326; 1027678585; 773587031; 254567652; 101058143; 879092905; 1026839728; 558702692; 123059231; 844857873; 660100636; 862420866; 945119404; 201657575; 243773026; 691110384; 204151944; 543052392; 47032147; 803571315; 910624601; 635656651; 836033768; 915483741; 493739450; 771932040; 431847870; 175914031; 816347177; 27721140; 231904677; 593799332; 221495967; 992371768; 769903197; 131490959; 639673479; 637334394; 336275013; 658175533; 329561683; 183999707; 518061306; 80814507; 341426893; 828066280; 563897551; 549315414; 784942202; 337642318; 1050962891; 569456336; 876774766; 76681466; 570930124; 361857884; 681135545; 141298454; 305261392; 571845387; 1013349388; 852635694; 907136334; 838391260; 74728445; 358323090; 810792429; 152197164; 591338538; 93407672; 416169396; 669066933; 995194241; 502657729; 810262274; 237185439; 224917608; 425718526; 182391336; 785936519; 287604310; 222085523; 609322496; 4419250; 375870121; 848989246; 389709963; 169693611; 753000599; 144564220; 154758217; 1025138793; 614068173; 292379346; 640242145; 183136603; 281790217; 1012564391; 683246765; 945729320; 807319666; 423434795; 281933339; 1060044172; 454431847; 434369085; 240656588; 221959292; 224603523; 427130725; 725067668; 1057462990; 23760472; 722480250; 761187912; 617361610; 1064134891; 121710450; 102845162; 17176089; 739861356; 831790795; 642368804; 631588254; 478158938; 698987981; 180671810; 1050815809; 281112489; 996738045; 183522437; 475162859; 687716832; 695678753; 16992992; 978300477; 334268690; 524248551; 143644396; 515975993; 97543192; 768308310; 945322495; 554116214; 103441293; 687153466; 177616456; 619352402; 941293788; 798778839; 1065968575; 331242217; 558605886; 1007899656; 413805721; 860085716; 1047364859; 720926581; 589540823; 656547067; 327347952; 1069524314; 209979615; 740030147; 629956863; 498827641; 861682407; 605245675; 215732860; 5148393; 231937686; 783502710; 902696941; 105353619; 220216263; 228526177; 173422323; 73283161; 825650689; 633097368; 822100138; 1012956219; 979286357; 288595154; 732950626; 944689001; 609330356; 501891006; 52473920; 443964861; 873021112; 131319752; 304816898; 367092045; 477938986; 670294629; 521467160; 825515903; 145069725; 1064533183; 673329083; 122620073; 254307365; 982791713; 551811320; 259758741; 612608115; 572700771; 191176226; 97588642; 781743329; 995128790; 392583755; 99881419; 351016214; 429357214; 841306130; 464089528; 1072116735; 972691496; 919846947; 291371552; 562544348; 937155316; 212767396; 774272006; 520537765; 631526801; 680134503; 868700071; 287275895; 292844501; 94959477; 204244152; 517039703; 649921688; 480658337; 103064473; 429110811; 135331992; 749355718; 807256105; 693499703; 1066613231; 857942041; 622654356; 52167153; 836253484; 60105085; 320309316; 781243253; 131491098; 296166519; 750684671; 184327950; 765504579; 418721223; 870506336; 965410779; 461093675; 796520564; 697586559; 488121815; 870301000; 896192970; 822662130; 329420739; 878078698; 321672527; 391599510; 419937922; 958012473; 1033100511; 40039297; 977001351; 469096982; 591761401; 466093348; 313803517; 57881124; 650759369; 81915163; 788627186; 37903516; 12556330; 256593118; 491915665; 712708826; 1062398544; 810697040; 15830623; 136386514; 187070398; 997652793; 299605948; 860509406; 997846287; 688911530; 20145757; 423562985; 1057698705; 1065894536; 932698968; 45098277; 820165292; 750049389; 833812245; 724683459; 585527085; 61811716; 370952692; 815374901; 29084434; 158778937; 117092490; 218168636; 188601133; 44888549; 351278800; 482524882; 836999143; 442495091; 609982673; 861317303; 62862092; 509416227; 482107656; 911212902; 829054084; 958029091; 80290659; 504501025; 644163003; 180401785; 975386393; 677690111; 421647264; 4588454; 1021500569; 568435662; 982165725; 492222069; 299721689; 57424937; 779375672; 123075177; 311226699; 963101677; 420137892; 310886966; 903724912; 651370611; 973736057; 901731674; 1062117153; 270537166; 601259771; 1057125743; 288621086; 632080472; 664584860; 599420821; 654664695; 825397029; 519262056; 827034907; 465986120; 142432299; 1012297635; 709604786; 717610520; 814114061; 875604018; 574418865; 84239721; 708739039; 399892798; 771171586; 466511529; 551675252; 1002931749; 333695516; 34276402; 29841450; 95469241; 51077165; 995114682; 740184866; 54788007; 175139478; 621016122; 37715174; 513821960; 1022671258; 960612295; 948523377; 580610577; 602062254; 867704787; 345938207; 1009258861; 549938578; 72681030; 584712422; 470853382; 114025742; 546789394; 720576469; 213588815; 793880729; 1061872270; 642151456; 600597770; 535493323; 973695954; 832504321; 547014131; 205414754; 286312855; 633054379; 394078626; 93217047; 459036280; 296413611; 777463277; 749216296; 377514452; 352318653; 362140685; 403362695; 86115265; 163818177; 1033521897; 614894209; 256959642; 992886672; 536854775; 1024695412; 522365911; 380417340; 82878940; 971009503; 772358594; 832180256; 1000299401; 40944590; 769334324; 914342753; 340129944; 631018749; 816493987; 916466175; 804764875; 787715193; 785693737; 675374612; 948971072; 441702415; 297042223; 1002758193; 515159228; 182291395; 94919806; 191832555; 655851595; 779619620; 66611960; 965381605; 264930021; 725440923; 416955800; 317086257; 492662749; 1022499319; 434089091; 42669840; 570540914; 820970579; 668724798; 229072572; 375463261; 836759007; 723788277; 925286823; 383243362; 1023147809; 848747891; 866616436; 695901196; 369344995; 485892336; 212900962; 574034144; 727621925; 99003358; 1029274862; 169611624; 269662091; 51773997; 926849842; 178743125; 448170084; 200943332; 677712297; 749860559; 837611579; 641738724; 1040174850; 220285500; 347830776; 598577042; 372104025; 428566313; 386196680; 1042496800; 213565464; 461853591; 1002691852; 813095859; 317258867; 592798880; 165646663; 336019949; 878720185; 1050910209; 1044458701; 217561640; 540446294; 30217638; 445196869; 26470943; 939142955; 702061819; 205637973; 516663970; 957588028; 978041769; 205096485; 302569163; 127360664; 619789222; 660816673; 189761648; 188008262; 299339900; 1067387872; 848407335; 1007772597; 1000552173; 687387554; 257850828; 832139450; 613876048; 728215648; 165819821; 857633756; 145429360; 922747259; 758042530; 148174209; 458664581; 751791042; 314035574; 549967040; 651546286; 917325354; 412597931; 566061891; 803488345; 463062865; 358819190; 314695288; 176067638; 33077084; 301753363; 839679387; 1028562180; 144562350; 919578181; 351161616; 311202915; 180850268; 772044637; 868253756; 1023077733; 751408658; 793295; 102116598; 171817254; 46062168; 799173106; 589301860; 165548472; 357741509; 106281818; 325615237; 651163286; 5602116; 205164513; 652191919; 1065175124; 356492187; 226770324; 81101439; 419398285; 471176356; 724881266; 320001812; 585048992; 501820376; 914953558; 371872075; 289922337; 47127886; 655007294; 183055486; 252804367; 1042469765; 118695845; 531007479; 119780984; 450836757; 621085607; 973668607; 308399683; 106114616; 405048947; 291053564; 872628282; 476770907; 143663056; 915631143; 976769912; 789644245; 674000916; 408227262; 953959769; 796376982; 265619152; 431894743; 39064183; 13996548; 212274688; 950515422; 2482321; 5456125; 133211387; 157392829; 456715336; 548399108; 58178210; 252469611; 648862767; 16667797; 956598084; 228982077; 682534247; 694340273; 26156149; 789531824; 35738483; 666046031; 816915150; 1030789704; 205933068; 828650531; 404338798; 607451625; 863538823; 781439440; 852255280; 718340004; 1011878441; 739780058; 551205304; 825913242; 727064173; 175891699; 971498992; 192766209; 952909567; 116926731; 654295184; 680633583; 156960991; 14349995; 618993978; 10858771; 345584982; 547269863; 960286902; 406919528; 1050900034; 2917073; 646800508; 291786758; 438594620; 10496901; 23995178; 512367914; 81132740; 63565779; 696863433; 1054894236; 819509135; 387149634; 866752940; 975866405; 1013180126; 939894460; 87890150; 276177071; 708525029; 335337933; 1054861623; 951287305; 396915403; 320385325; 255191351; 637208180; 353568357; 639670015; 724504705; 405111432; 94589612; 540221384; 749156514; 878074331; 459930282; 109147408; 66307505; 854223746; 1057486623; 713460864; 700685836; 272708623; 609047873; 563048143; 374826370; 456540256; 278962183; 180375466; 635583143; 497920472; 841953240; 774802207; 651446956; 929911388; 42272061; 815976484; 254181644; 196855672; 347545671; 155017298; 158209184; 985158983; 725042921; 641746695; 781269828; 444509153; 290031541; 186213365; 836925076; 216996876; 845178714; 1918074; 627628585; 248063666; 223693689; 1011374225; 687974229; 102571376; 295666758; 96755782; 509811753; 979450021; 182819496; 621642335; 470251547; 636144411; 6443390; 520569186; 1071916151; 806177675; 75608423; 397741664; 736271511; 909266292; 155980321; 814896340; 112865250; 1019662263; 940260251; 657963028; 1019573693; 769751701; 163047205; 430450535; 68267163; 755470793; 507691313; 238248896; 955380392; 209929639; 590592218; 5056932; 812074183; 58059157; 842119218; 295937503; 123298663; 706684613; 603853226; 106547033; 155761303; 395930598; 741562005; 163814995; 638598272; 660985247; 688429541; 773439779; 774652404; 139732114; 937006191; 129418339; 460848510; 999650222; 1022249656; 501741098; 203647462; 469594706; 9302844; 1012330767; 247054459; 325243437; 296686866; 344352472; 300381924; 546984596; 915445970; 392177978; 43767349; 509877222; 544130591; 416437400; 777306575; 1031369694; 437918066; 88265742; 591536579; 130536484; 1065474749; 434919675; 162823700; 996139693; 329635891; 804294456; 1054386037; 691488934; 33724788; 856116304; 116041016; 996964212; 352276352; 932901420; 421705006; 835458835; 838329741; 470344526; 660279381; 177503920; 850624437; 1011712341; 789482760; 156187817; 182658766; 837493964; 344140920; 31863459; 805090705; 49921967; 1819206; 630232051; 895107148; 879682541; 802144359; 605949977; 1038880939; 58415480; 992689064; 20260054; 14853561; 163169993; 938289296; 510921759; 847426147; 496234747; 306284962; 718550674; 601108298; 447626631; 989693821; 512759887; 157471829; 967758344; 428602375; 895846712; 126888451; 413380146; 464292056; 124179676; 664265; 166894404; 7453852; 94051426; 519498337; 503719909; 771760985; 927006586; 1035431728; 608252333; 252582904; 262165671; 86994802; 282430997; 197414313; 485051840; 410680872; 1002486592; 599831102; 763562379; 113300977; 327480078; 238868501; 561730112; 190071544; 459931857; 1022505087; 62047045; 247485444; 952154698; 119072401; 187537773; 341995799; 264997161; 248995589; 517301085; 377108572; 541374107; 633126727; 954626504; 321169734; 419923630; 1058681160; 869486847; 155033291; 924839200; 984523175; 922996727; 987356413; 322983414; 372279955; 84364683; 200031758; 517569369; 438610604; 435995572; 142961519; 667570309; 195914574; 259595789; 472376794; 320894057; 70210423; 613281911; 304376536; 156773853; 682488333; 462588896; 682911178; 446424112; 943078485; 582357667; 898667418; 700343721; 707742924; 497184820; 28493472; 1010837610; 848190031; 28175395; 600046762; 513044668; 373304308; 494907532; 1072342465; 851766064; 454617040; 594286290; 410002742; 358261351; 1044820664; 339231687; 541166731; 138732021; 396812064; 167259174; 256644296; 188843896; 126778014; 214638330; 626176861; 957508731; 570634048; 514908466; 905469067; 654711554; 890869259; 679262124; 572151327; 32473850; 635069167; 963331932; 392232510; 947966944; 530160585; 337192164; 740233923; 115098735; 935408377; 1045910860; 457930767; 104534307; 474405278; 889799865; 229557912; 890183913; 4011582; 176795435; 138089011; 811477988; 842450199; 629415316; 1060467414; 668291411; 327733365; 780516156; 951468354; 639599393; 57898533; 454192431; 158092950; 130695729; 927766691; 481564380; 494314803; 64693203; 1019214272; 273642436; 663788357; 315104000; 117957821; 275907895; 891479104; 848989929; 1069466432; 809038654; 935326577; 831913591; 574404234; 786606741; 503613609; 125778084; 748809231; 626732160; 800178956; 414455277; 315588276; 529991596; 561311772; 700796769; 885791719; 419168118; 174127846; 756246978; 934747797; 469976903; 338008125; 614043928; 341799587; 107237451; 633998287; 332895966; 529469746; 269171567; 888803952; 635210327; 983976758; 574966141; 824326929; 1061399359; 390031616; 954855305; 414243008; 81107529; 382711389; 618057784; 185667106; 758574105; 67078102; 864631708; 113272796; 787100404; 250013048; 1008246429; 360955406; 1013531984; 226203766; 659314019; 527671787; 408501973; 357665712; 933004628; 753583416; 1028173586; 310231465; 491704103; 178904669; 780773840; 454966572; 719693802; 521272962; 558948418; 238254969; 108062014; 35555362; 905825188; 496331504; 73899081; 368423726; 736983070; 845950523; 217381863; 415794335; 10082362; 47933926; 908913113; 90973105; 901304978; 321373240; 611235630; 72350244; 664792122; 242622537; 10214068; 244319095; 40813467; 564602844; 793539951; 96576481; 727234203; 796961822; 1060239221; 297570982; 155558659; 233814960; 136966034; 108178631; 262928397; 76158786; 835723852; 841227191; 467373660; 602893424; 388258909; 828248944; 493648638; 461569230; 460491111; 483971680; 134033180; 457488185; 602596095; 109753155; 1043813351; 618529630; 201864941; 910298485; 982533277; 221737047; 485750605; 825329918; 232247651; 838352189; 116808262; 92909010; 866766405; 117146621; 1063456820; 93526316; 20297562; 303583482; 932469335; 199822735; 1057716866; 177401603; 956962871; 588681418; 781379793; 245242717; 257931392; 896180991; 187865203; 1038264693; 861674779; 75281228; 624551622; 733705046; 540330683; 750621835; 727704680; 92432176; 58713977; 444888895; 606510590; 221456410; 628902114; 970752354; 557623657; 535815076; 569012089; 798224190; 461783068; 696733688; 383146813; 1041119240; 19764107; 207297015; 1064645775; 31146075; 253395129; 1026290647; 103460480; 811579303; 291746091; 673286882; 696245529; 179791908; 553067485; 258961401; 1036981339; 403067539; 441405531; 31210113; 1048001184; 523998424; 744462334; 191373920; 266348963; 363610381; 994301402; 339777380; 51466746; 423688656; 524582977; 164557002; 1024726526; 473367560; 503388274; 212987455; 896657909; 28947471; 37508494; 422359680; 779163168; 761703132; 671416690; 513582999; 189630644; 459015818; 1030692901; 1044922618; 619106782; 254018013; 82090372; 494337836; 230808308; 242054546; 1065539720; 999669916; 373633189; 703436897; 286363907; 661777171; 307839354; 475282040; 263433643; 394407991; 571754269; 1056834041; 75843164; 1051687531; 763524313; 687362766; 338838771; 461093207; 859419350; 1033189431; 633397683; 16806453; 1045658123; 839937500; 464905031; 462533428; 98354235; 830839112; 645800457; 501422114; 723292601; 146735751; 554531928; 578813250; 794463745; 214500997; 850400473; 343349713; 440113193; 36494148; 20842181; 145756803; 810036751; 91387821; 907951701; 984763217; 315648113; 820882382; 544333798; 998602048; 864742740; 547913954; 704218590; 724454343; 873427065; 87914141; 872537684; 558215805; 303340599; 1039119442; 468177062; 961804239; 304811664; 99996974; 804978431; 695150719; 750052447; 443523871; 1020020880; 940339457; 638637936; 440632285; 1009218865; 226811829; 459564196; 849230782; 68492335; 225778002; 886496165; 101234337; 592281373; 543282192; 1048665526; 1012088209; 288644619; 1054646778; 573249847; 295805456; 828214917; 524960178; 237056747; 979677677; 95975019; 1007761803; 420323810; 593542344; 440828576; 988532972; 340454925; 999743276; 541738394; 179026585; 843590274; 59391536; 267008129; 358785486; 896518305; 808659614; 401493819; 338070705; 401747487; 359618695; 691440941; 207187118; 804882841; 921903101; 817694728; 820133320; 727624009; 701950193; 625450545; 704422345; 597076236; 618725717; 495547474; 755319628; 318032433; 442238731; 391591318; 113586798; 1050634468; 111291190; 176718448; 89966194; 115724958; 421599069; 1053269681; 941368643; 461547453; 954927428; 183701384; 576153633; 691301707; 117374258; 896991178; 552124604; 754348805; 882850993; 162517969; 78632490; 161506535; 617723812; 750957817; 110388018; 199653150; 633889235; 416930159; 44493812; 709226226; 490788635; 832203713; 478881087; 14134791; 737622539; 49595582; 427768682; 888938740; 667433783; 549658842; 665537193; 554034765; 756201558; 204138212; 1011576334; 4143764; 946200576; 300698702; 612799889; 162110471; 736445150; 208256807; 971290849; 420379142; 344189927; 410182119; 356062029; 546888771; 452843428; 843671500; 471862654; 1057479602; 197151835; 545293048; 838519997; 61069686; 723961711; 992597675; 691963756; 947362213; 55703271; 116480404; 297938357; 867415108; 594904808; 979458370; 250047581; 396886176; 857927448; 180625321; 811720990; 307037218; 265750669; 107722199; 19995721; 707146105; 529097197; 342700838; 525398129; 191568136; 30187654; 753298239; 470706016; 460656839; 816673504; 259985593; 936807798; 264469484; 263580074; 9449530; 398029539; 773526691; 175075335; 783243575; 410110374; 431652385; 845885866; 339213206; 403222200; 689422805; 303765892; 389977124; 838847521; 240199381; 747569117; 27164409; 771244685; 1022880406; 924052264; 42207426; 746343667; 786020499; 64124750; 453845793; 337010978; 228751176; 283848665; 698693792; 510702229; 585757018; 42244459; 439402757; 943442462; 1025798033; 330543121; 395115669; 291418428; 303295255; 1049027631; 954100809; 208598590; 737876666; 54487472; 935836496; 171320917; 110919738; 808164080; 220460668; 229630296; 709020905; 596000500; 528631486; 776486272; 1069728286; 590891739; 337588525; 442698262; 796215827; 855077422; 719913496; 990862850; 345426559; 860116652; 103978845; 698446015; 36028263; 710798208; 299935704; 229558183; 373147282; 240493138; 213992110; 1057567430; 1070258500; 27779983; 459587720; 388058903; 246385202; 829808654; 628072236; 584880952; 264244737; 665632977; 260401445; 505151852; 1043107291; 1014666182; 949831301; 173126504; 908573576; 461498137; 797598986; 499621184; 358493969; 614239600; 688083924; 532065937; 183951260; 279420681; 404886626; 232800117; 872950711; 231430604; 318565184; 286096924; 478631044; 851611747; 706318365; 339443762; 458442483; 152572407; 947988415; 807540093; 868849940; 948774510; 142480409; 1016651345; 440671507; 167763857; 108848276; 122645132; 1002037954; 386415356; 335241594; 678024230; 30076955; 431723018; 751737532; 156876706; 1024860572; 1050071779; 839005832; 632642145; 439059211; 306805462; 318837688; 901667582; 111111232; 797702752; 340024390; 218073173; 296471811; 869580476; 743712659; 931922614; 249606990; 542960783; 487047178; 722058519; 509795484; 691534018; 490464390; 318897551; 972397477; 394118494; 865211244; 147839402; 181081769; 1036440260; 504860492; 86257595; 912378271; 775798771; 38132299; 1056288625; 754410303; 316267052; 979324490; 791418101; 408482434; 827548743; 255515747; 519039780; 211196259; 208096596; 1041937071; 972863199; 731067093; 843278264; 295679861; 1033262558; 114640909; 703713371; 778713825; 733491271; 861976220; 625232663; 602545474; 879989908; 885032446; 647230885; 973514943; 695350639; 457518570; 229449392; 218690997; 456747763; 1019130219; 516644890; 170928305; 835613583; 839521613; 575915018; 712327293; 48375304; 798107472; 910219598; 1044959979; 199022632; 845973743; 694086298; 323893786; 764860551; 492487515; 775743843; 29350849; 27771578; 253303679; 536120732; 870676860; 827028234; 1032817264; 78762649; 748479094; 600279836; 885977369; 222884449; 954262796; 229137044; 997026174; 729597161; 934357067; 208240924; 178855730; 680594323; 922245046; 766184938; 291850512; 156588245; 957686332; 416865360; 938986216; 32787174; 640879864; 374721886; 558939656; 112381001; 952135475; 180989814; 429656775; 215034027; 286112470; 115357515; 95000059; 696432896; 44121614; 903053515; 894425231; 357354397; 967913195; 102190489; 564728282; 445698426; 185341767; 100320518; 857360998; 231268546; 102216847; 538902940; 815770222; 147214774; 343673219; 716859448; 892058421; 937002584; 974411758; 24771464; 965915264; 372926003; 770066879; 1012357687; 246727853; 457319364; 605948666; 650824578; 732300988; 718315381; 184949770; 266585807; 307697516; 436325650; 265782302; 872932298; 152596579; 781005912; 607608719; 241611404; 991691878; 70357500; 418922158; 688121815; 851742664; 46362353; 606978439; 209080722; 272704043; 83954682; 270224694; 970154679; 308418800; 937112387; 984938329; 682780408; 418325000; 139516487; 942558691; 639923271; 856574224; 333359803; 393006702; 816859938; 32568440; 424216758; 942548101; 761600865; 510826300; 222251052; 785492935; 587178934; 109637248; 966103481; 665153584; 697863487; 812175435; 388781863; 661934555; 519284301; 71393184; 400661118; 777031642; 193784163; 463412125; 342607543; 531614115; 108656633; 424525360; 388876673; 687287687; 173874915; 824100196; 1044021811; 102134456; 795854012; 45998383; 919084720; 104596019; 804370485; 221279256; 870714745; 736097564; 253790370; 149194432; 878356093; 443413953; 1037403181; 213568880; 885921193; 1044494026; 589181511; 309129968; 1014012091; 842809364; 468228486; 732964969; 9611616; 502249013; 892291973; 258247234; 93787876; 716507508; 930784497; 182454653; 683836940; 314850994; 975002787; 803873962; 251661320; 50331338; 974934854; 852699887; 536686878; 586620768; 877266123; 221830470; 678156090; 1019850141; 759551265; 343983824; 1000898426; 386031878; 822771712; 632364477; 529038138; 930171328; 166894588; 95366251; 897396785; 386481699; 78564090; 481872414; 984618972; 162268911; 527072005; 683678095; 1033089875; 335374263; 895179589; 714876466; 367073103; 143165198; 729925566; 735319225; 1008724931; 723360078; 108264873; 451829296; 712840922; 15867064; 737789319; 132312207; 614413693; 556611022; 870051638; 464711706; 234147417; 575341085; 483909149; 735138627; 57578589; 694149260; 821723714; 158252228; 235030997; 434315193; 263139288; 371186726; 209857832; 955705608; 678158147; 653046810; 679749393; 11960912; 761972616; 600946914; 416339498; 51787364; 20375446; 1056290248; 77357289; 182866598; 1050836595; 331859763; 1062807135; 179809379; 776295235; 551034938; 732436695; 887975404; 710603648; 260112017; 786408117; 278606025; 206478302; 1025113297; 657731736; 986702847; 639224713; 1035030410; 447099668; 760254346; 1040068582; 332917551; 483631862; 877779880; 662556921; 125496051; 760983265; 978613583; 457105960; 445475404; 110610718; 583400553; 658460119; 575126102; 232857383; 937149763; 698930966; 787086196; 982953452; 749682558; 150874819; 332927651; 1048381785; 826383338; 150816768; 666240638; 819605724; 537761624; 651524232; 89889719; 248972622; 624977313; 883678272; 501243521; 918189621; 743414510; 903059898; 1011782348; 926157784; 93375263; 491921326; 696227698; 113610868; 614466452; 708371053; 953002052; 323817402; 285123944; 1064235995; 510009513; 152255277; 960638167; 241033796; 241847386; 500379387; 702505976; 465201522; 470544041; 960411000; 276145791; 725755526; 299891045; 906738698; 250262813; 108430992; 523960548; 829450863; 747750195; 191162600; 1061816744; 900598244; 291602783; 758653560; 606359844; 810427058; 203430968; 610874880; 129020667; 68735410; 398747266; 429000984; 974198545; 476229802; 196486626; 435902012; 855606953; 456425967; 519732045; 400560259; 617294032; 335067250; 157887812; 385647045; 623438939; 237432871; 766562561; 438909295; 826793835; 999869603; 775258925; 896617180; 526760277; 654647327; 734173691; 635315961; 895319683; 623197114; 915733757; 755786370; 424833529; 786612829; 146804409; 723323890; 604973600; 407862691; 30295525; 335400554; 902784097; 129902580; 349981451; 258403883; 499550011; 228186987; 1049508822; 608755652; 354112761; 931074899; 523455167; 200615846; 586414559; 266783980; 307523505; 640708467; 761764407; 950352119; 315609486; 680354302; 1697152; 461498691; 718277987; 947008857; 889194167; 501886251; 205280200; 492439056; 968902031; 454372323; 214563587; 1047380639; 100548233; 47083705; 499094227; 976491001; 556214966; 43550245; 687895650; 789901529; 872723351; 101283809; 892227735; 226143746; 976237222; 636066315; 971228223; 817216856; 733063095; 217044452; 1069072036; 952014121; 1007991672; 622542360; 689826317; 763014023; 341609301; 213352907; 828182498; 18287111; 271233077; 539743662; 116387140; 86376589; 139875380; 552280815; 1065339991; 289874783; 1016617847; 725264417; 188742443; 940157164; 257368919; 529080204; 52244302; 247415555; 579278152; 1038012782; 536051785; 767486610; 387451432; 79767046; 531249001; 616148615; 612850798; 708403250; 648584589; 187372813; 928996048; 285514266; 38746284; 21467664; 49026822; 549193335; 549502244; 29732025; 35239250; 729694950; 1070594025; 183036135; 562364974; 612656164; 1054883135; 303581522; 747448813; 537923326; 28508332; 557886603; 881562271; 1071612620; 904108970; 608115780; 967495328; 970453892; 807000955; 579356323; 864825514; 46497790; 450945792; 75313201; 840716369; 324607615; 407725743; 670636497; 373929576; 248506434; 964721699; 758550857; 1043083726; 1062738204; 895699029; 339055393; 66453258; 430177531; 826591808; 692319870; 738748497; 917846094; 40053053; 698694680; 217321917; 727878653; 886151163; 649800787; 351017137; 345772131; 707109024; 939592985; 187589069; 229465867; 947098864; 63594790; 628052900; 829865387; 678715097; 601877718; 1019927784; 375533837; 356462365; 631686632; 27822003; 460772997; 771621525; 590744807; 212887876; 495236653; 1068656130; 387457798; 1039056133; 533632416; 817372629; 701977983; 7059083; 104088133; 258799533; 146309476; 777047194; 974994745; 366397114; 819060973; 180974795; 71411419; 913880261; 355432354] 6524) + +let test5 _ = assert_equal 0 (minOrAfterOperations [375505244; 639979254; 301003254; 33140916; 825909894; 558144251; 1032941318; 898728472; 173430912; 430068287; 648587347; 803752912; 107624580; 617915224; 821463205; 1024900053; 157677865; 875235078; 812474414; 381603748; 387768207; 470819879; 282750346; 443411262; 889839429; 1067252125; 738753008; 526140258; 44163866; 549366831; 1059685024; 981645521; 724866938; 56572470; 809708973; 251598442; 794087849; 1035447165; 374222968; 143384106; 810661325; 96610450; 912348447; 605317408; 906520627; 952145128; 263383426; 430095476; 601662221; 249576435; 190854966; 707209479; 54185621; 161830353; 454590602; 764999234; 786282873; 861465759; 312196736; 241523295; 1059733606; 982558772; 1070380500; 59414492; 1007198072; 64451059; 375611108; 541262731; 706350268; 1002859422; 72112678; 32215288; 796615428; 942637036; 283388984; 348177133; 736927695; 836392984; 944705257; 129891973; 295950732; 139593725; 499523485; 633158206; 16437286; 414390109; 548038050; 24570844; 949179917; 287806311; 93545661; 458625313; 475168052; 933118559; 281589070; 526608147; 373046668; 422915860; 732455368; 562217945; 352804470; 731866400; 433307129; 690723035; 347781363; 1066143623; 364871031; 473141952; 613795992; 336178046; 633704014; 261570403; 935946499; 971358471; 569913488; 677123998; 584530943; 331662410; 594885291; 950294376; 235242304; 706325796; 948190886; 358790140; 406886958; 40139078; 237834546; 356877227; 741850157; 985939748; 1030060340; 5565019; 174286138; 393915911; 866863959; 71147383; 962085305; 382115452; 639129627; 166863832; 911405827; 217186324; 1013262698; 588689779; 209589792; 270410166; 166626413; 731747485; 710581717; 1038595085; 673115428; 498773919; 832167406; 786806471; 761549391; 337794845; 724783949; 779065132; 490326237; 172578120; 317225860; 411049946; 19892183; 306204948; 466196539; 345894285; 548544573; 900815888; 443959476; 984382123; 324553745; 137224296; 768941905; 623704247; 656340955; 837590269; 732969049; 808852151; 662978212; 1050660347; 109569596; 747702201; 521947438; 893589771; 497013101; 907438264; 932039928; 97553996; 775587163; 456127867; 759588414; 160119230; 601228195; 563428169; 711754662; 812897158; 450486541; 161760023; 273063930; 343141903; 447523078; 310132505; 40203015; 983138784; 1047434323; 998352055; 374135432; 212691063; 914028591; 1047118454; 1029123060; 109454513; 282041584; 946406690; 319915045; 966839396; 397856684; 328197931; 717727246; 372386517; 861633687; 23817217; 120428518; 492615649; 1337199; 606888804; 636608039; 526750783; 407859027; 231265066; 4841600; 803863809; 17165237; 1032380400; 88131764; 620394826; 103550213; 167705230; 853898880; 828473063; 189633001; 574758497; 25356761; 855447359; 945657783; 732906626; 916831296; 805597601; 983878356; 173902008; 687214931; 208842246; 1010969067; 352011412; 194559772; 412500033; 571570682; 556014923; 537951146; 498319098; 459706431; 203051764; 732623279; 860404824; 1007908025; 489334734; 96514484; 988846627; 648449534; 223675946; 806203718; 275410946; 250807750; 379274377; 181948347; 469816312; 1066004419; 46326992; 788474298; 273406247; 845203530; 536977212; 1032096012; 813211316; 450167583; 687552135; 802262407; 516752582; 695031694; 5715465; 167595711; 1055182452; 355513407; 126817543; 390783432; 37987523; 484772065; 127271501; 152366900; 465191302; 977033681; 436195367; 881988050; 87487152; 351556031; 661098089; 83571731; 538901004; 776610081; 144026281; 432743398; 343695142; 905999279; 840478007; 758700899; 1063106361; 1021040737; 277693826; 682638743; 679355014; 404315828; 183225947; 597355302; 201025660; 896624587; 250432424; 131752725; 507582419; 489585637; 44125375; 744912094; 1052760210; 572936052; 415361798; 940360209; 483934032; 149172828; 917823700; 282810335; 854468911; 945264559; 557576442; 849978103; 262395590; 547055354; 186925694; 398922210; 92013426; 51897971; 898776862; 882725560; 347462437; 999033020; 768564174; 299122078; 198152912; 586020894; 610488891; 700956431; 726405058; 650365410; 485662169; 334270378; 380418220; 115121320; 1061343011; 447537240; 262482032; 591966743; 111378156; 589286443; 510209611; 1068482893; 369635521; 379530749; 663399906; 184275841; 122758666; 898065476; 644371061; 849853262; 1012155606; 154297727; 837421377; 964330087; 514095465; 1051124996; 115488498; 990978599; 992006860; 977534938; 163487735; 886289629; 100375290; 705847153; 836724022; 762855857; 415576827; 144812473; 446123406; 964529882; 472572186; 1067509707; 9536106; 160767677; 451303866; 36839044; 999389337; 1029829169; 499275650; 138506988; 1055203046; 582868725; 55813351; 869456410; 530217826; 320277940; 595737818; 967307005; 61401226; 596189597; 642315055; 444417883; 379605267; 1039291909; 1025830661; 199480682; 41888962; 906179725; 488247685; 163332069; 491146678; 691336801; 1062430222; 775388551; 1035533140; 871314322; 90540380; 813671741; 402495117; 911269564; 434661747; 468265163; 64202592; 584049068; 1032328042; 808243842; 630180164; 12577964; 340571862; 411407018; 193867256; 559047655; 247687884; 645923619; 916389003; 701239294; 360777509; 624355981; 1070651764; 77755588; 83720940; 19474695; 862107226; 837684851; 378980486; 969555501; 664207779; 615104285; 791948262; 366253015; 905145673; 359915618; 63546983; 156781737; 114677090; 624401298; 761779870; 825298134; 995315226; 177807981; 410400331; 624253809; 385007426; 778009621; 1019637130; 738676135; 140486064; 460429168; 34420407; 986487209; 1012336726; 745585352; 1040219473; 313300070; 791810720; 231837310; 342159178; 499500128; 700955779; 178620637; 1056703025; 173441886; 1043047547; 626455074; 870582360; 169076045; 828837250; 176965541; 509799265; 987182121; 828315371; 753416854; 987986258; 851384787; 838324519; 175387919; 863623875; 91261565; 501500761; 32222691; 666168097; 840171224; 943292918; 571009579; 861891710; 567727592; 460902437; 362176858; 981895342; 834534499; 998881564; 72141618; 246889995; 93241947; 837834528; 438755769; 827862653; 942748986; 921764420; 765438157; 1065201482; 570794411; 278846151; 610542145; 921819056; 567752523; 1028575906; 764066615; 95766111; 535275223; 339831876; 670967049; 811719046; 359878800; 267360669; 675926945; 903908013; 153714078; 507364357; 1001649586; 544534775; 1000217336; 911556265; 921569650; 556931977; 3943267; 875956627; 1004045512; 870936136; 583679972; 939137654; 234955761; 953296976; 823013576; 808754970; 257325604; 499136884; 958970407; 247206299; 1047431528; 996466917; 741237232; 605291069; 322680591; 206908711; 164247429; 114826306; 81214583; 974984932; 380686367; 244509353; 264761395; 441135366; 58650869; 660585426; 567258106; 891856468; 952297895; 248067338; 151508278; 409309439; 127331754; 489170515; 958473908; 567418099; 631279301; 7602328; 124692763; 108772808; 1059848341; 507673348; 835856260; 664308599; 2581531; 175429049; 246683407; 457675956; 350673254; 748347369; 1032178611; 881025983; 133431472; 312788989; 885130773; 950209664; 519571504; 495121085; 623206857; 212048358; 656728043; 1002690879; 384426193; 199958575; 742748357; 1038938644; 323526810; 306583059; 217709668; 879606605; 179296154; 987367888; 425936215; 846834891; 1055749841; 625442279; 73766009; 464043295; 859478871; 75065027; 305036527; 1038326184; 457125481; 875654988; 955028404; 913472361; 1063160649; 342449372; 737406286; 135209213; 70573619; 696860014; 1065870845; 95955242; 1010227426; 208692910; 315639419; 656785991; 631037802; 443939817; 427198388; 304434991; 479004155; 481449427; 785042399; 352497373; 779272239; 708541390; 53002079; 43587030; 605957282; 1069975007; 2030629; 951751309; 302993380; 1055588704; 906069622; 360416794; 28876800; 355429265; 213180673; 752641706; 308761762; 94913080; 943939150; 153721661; 577867502; 816193766; 389504998; 193667078; 899372593; 168250535; 169001616; 596813620; 796857574; 262190745; 422511485; 950711781; 29072730; 1066423735; 151856140; 764324343; 926732580; 249252575; 424372920; 1054036580; 761782503; 79969618; 803626200; 449857912; 772184366; 1044976248; 1063701449; 802172611; 1072015134; 559590286; 305636019; 45477942; 492673459; 68990188; 669182484; 674053323; 766357064; 240812510; 650732991; 834044692; 186849259; 646098326; 872986013; 515323556; 278784910; 881616474; 1062964941; 442069973; 824067206; 82037579; 675371757; 806556942; 410924520; 187374602; 898384507; 411644960; 193298803; 131154190; 688638558; 722716869; 304937946; 758227755; 281863799; 208817461; 701960273; 710335430; 655543463; 111191101; 1030207954; 837670815; 117072929; 138281442; 625444718; 393318516; 470437229; 590704907; 761128418; 452177720; 13330889; 348760238; 601989197; 443474058; 365973350; 800361506; 656798546; 176186074; 369582998; 3889782; 252828307; 246604635; 465921097; 879684575; 782157771; 538864995; 89319377; 1063068971; 323096008; 1063493450; 561397976; 634428878; 672427637; 207225531; 557216025; 238063232; 1005065795; 1038086521; 663985989; 200449355; 21344047; 164475478; 176991743; 797626826; 972769000; 979576875; 756456654; 2461445; 447510342; 59642904; 482340007; 288413582; 112044812; 277482885; 236341015; 181934904; 650370401; 909634989; 741143360; 714210344; 415314943; 797464552; 764566850; 613011178; 611154479; 163393060; 4784117; 576456290; 12828888; 720273331; 145618676; 253232071; 1035172293; 798581494; 316846222; 4558177; 584023730; 1056869502; 564676188; 138008296; 689508953; 227649729; 223005882; 361079165; 345190224; 3599326; 847157078; 951736009; 655384157; 481386590; 547892714; 1010512981; 658451356; 606593839; 523204052; 1041854526; 341152531; 767677848; 450495754; 401214459; 84315304; 1064629168; 566114154; 430303862; 536257241; 494657209; 875742860; 745135025; 1022973046; 286985340; 457487959; 209171868; 419533371; 158911704; 554840843; 424276098; 185757881; 974202254; 338775847; 389940580; 157824982; 201008750; 412455380; 574690499; 797957132; 282050656; 559491196; 924166305; 1037093173; 200539283; 457758705; 638039988; 455732562; 994993745; 694025352; 773934464; 40066210; 393987080; 290703904; 263662900; 1034831283; 990649748; 463968808; 896036616; 540359550; 164878094; 15564277; 231459897; 96388058; 1038548796; 296693204; 1068963076; 219910556; 682639333; 537233751; 903024425; 366745364; 652102108; 1067178388; 798012225; 40876318; 163637899; 172351634; 268309319; 342031764; 376152176; 568494998; 559860134; 454573163; 490233930; 906855558; 164394958; 98135804; 1004677812; 518203748; 611789248; 703600509; 475648110; 90524351; 513660237; 942535285; 389095598; 220963979; 655732086; 321461377; 833034254; 706583690; 1045004937; 385533505; 282644751; 1014970150; 413520578; 310170889; 739382328; 677981832; 228630184; 948614121; 574063218; 337523680; 315189228; 942137333; 920524474; 430144959; 501868733; 631674827; 391717432; 518102417; 850166426; 196466735; 255576774; 32670715; 569847724; 358843477; 75400297; 773626898; 893951327; 410716969; 708493786; 993051218; 188734754; 48380855; 423749621; 998352496; 345283856; 125762941; 188591967; 947069857; 971593949; 1047927733; 744668052; 129268588; 159056967; 1041968401; 364971791; 689196845; 956853843; 548297497; 154537733; 246865491; 126264442; 806610163; 426309851; 244118854; 852726173; 567730408; 466636296; 930345746; 211781767; 43199872; 193149004; 527476500; 994345514; 18865216; 776086803; 876148919; 695319971; 193197095; 511206919; 546962540; 688580438; 928897813; 941125053; 9404978; 290334594; 695332491; 326829847; 475520396; 809587252; 495042052; 170507501; 148899285; 705355398; 344434750; 368124925; 1033043711; 205726974; 162512915; 686883550; 106097025; 609546219; 279293876; 219466067; 519441660; 719588990; 1062919866; 532980885; 513353248; 661085021; 36830069; 1029914386; 904195165; 1021612981; 117366361; 118114922; 942319337; 932173092; 199589120; 979938929; 948576762; 762380916; 758101052; 844786969; 979380594; 14927880; 67565978; 690507392; 468756953; 859549595; 59071461; 823459449; 309104618; 722243919; 355098076; 1053894521; 197038047; 152680032; 651987315; 476508175; 114304255; 385530974; 340439572; 1055850886; 229390806; 385060663; 174222182; 288576249; 40571644; 869504027; 35281816; 512736463; 1036340513; 787459919; 162872230; 12284207; 247391619; 1010846033; 543852780; 529991792; 315802683; 206686889; 876100374; 94352324; 199327046; 880475355; 546641337; 154128240; 930144645; 563852243; 416011295; 285407746; 419970484; 1007858351; 688213193; 72219774; 960680216; 762503234; 43372866; 697124306; 81868893; 257939159; 150208196; 66702863; 712401374; 11893662; 438320153; 51178950; 613409515; 952897587; 650248673; 981070215; 489509870; 351384946; 928320369; 378506940; 943106840; 462886048; 1064631885; 810645592; 207915348; 27368626; 758260843; 569772944; 359625645; 4551144; 751781798; 234959296; 114075398; 586664611; 84820509; 907165659; 893144398; 402187065; 849318747; 878742330; 587634823; 140880663; 388642060; 868285837; 25695379; 1052379271; 840796520; 573419591; 558158446; 929026640; 1002417055; 1039005597; 1020819294; 803536114; 265973196; 234804852; 297088123; 345101014; 441199294; 782821017; 908656856; 46284488; 522711808; 14529072; 51731283; 819178544; 707548878; 819146111; 791586219; 830894174; 1026538076; 938365401; 115713047; 374777521; 1037955128; 889200415; 849890928; 535730332; 630860676; 8273058; 954903978; 737967747; 384879285; 921655980; 434720679; 902618195; 202459893; 794687208; 1017691208; 379948484; 280149343; 412116616; 936159417; 576205343; 119898458; 269766162; 840522155; 279263149; 203158591; 192162898; 44471865; 834564465; 319933729; 763721238; 388342572; 393163246; 505818909; 872750542; 410006762; 153902154; 39137068; 306253916; 254882033; 542888853; 713559927; 842724014; 546827889; 631579483; 367289000; 197210864; 474786298; 317789529; 471340048; 290301165; 3056174; 306208649; 699832415; 510658840; 994790767; 674607212; 899904515; 77787403; 2503696; 918761189; 620956950; 816547999; 861020094; 238247045; 975042935; 486647366; 683741356; 753040295; 634800431; 86248820; 728319926; 606557537; 527469059; 163437782; 392376215; 773577167; 533598871; 461242993; 984000391; 1071212824; 1060700723; 322200289; 730713049; 534129096; 464164443; 572468960; 702970431; 976402894; 432175877; 748691579; 171678466; 1001944436; 126145293; 904184642; 363306286; 66671753; 680685100; 200633960; 840623863; 555274561; 914474982; 586672624; 1042533174; 793390683; 254382671; 10328249; 976983689; 54604976; 992056569; 518226204; 879538315; 672802207; 165842797; 456200110; 1067611722; 410026699; 409483903; 244146277; 62762501; 62022251; 104369544; 4064803; 993137202; 422412628; 625653186; 1006411335; 584640612; 806135983; 692147932; 838077966; 847613655; 603327341; 773908902; 556187540; 879887899; 834518842; 543089725; 200492774; 395054903; 515643915; 283157029; 85987505; 215822340; 595992665; 391160465; 780479365; 329189725; 224376159; 400648038; 155913250; 302790107; 346164333; 553488041; 499673051; 1038512180; 86071844; 277613836; 532870371; 389757868; 620401171; 1034143782; 707312145; 173986287; 577222717; 597019650; 853728572; 931670447; 281637822; 545154390; 434156219; 367106859; 562232849; 1001809260; 1044189206; 50062801; 654587789; 638801078; 117653505; 1034802071; 609395253; 874648143; 992371415; 447895102; 815333309; 567690288; 90915305; 1065207861; 566286894; 503171277; 966529892; 788229611; 639780378; 277519339; 890416579; 485993674; 71313328; 994640353; 304778380; 843115210; 134549398; 232140779; 185356367; 606268003; 124085503; 897687243; 670175999; 709186986; 632090694; 512241557; 1071009294; 752762573; 294177866; 164702808; 12961928; 842294542; 52871758; 873359320; 1062860755; 339529800; 218113437; 984882135; 419258730; 676535348; 738329003; 807472493; 561847272; 219523087; 783740589; 705727133; 693714652; 692098423; 1063992181; 435183675; 685683623; 716203203; 629619815; 289099254; 887045837; 1040318774; 122472284; 704321707; 909597303; 463571620; 395347357; 917349460; 476873168; 921665109; 131333962; 96559937; 621755046; 490634250; 523517345; 642256920; 506502624; 860002946; 27540298; 303488763; 687036816; 289622585; 269602182; 301087318; 416769857; 985448278; 823836657; 1038740442; 84888780; 278350071; 996051705; 236634262; 68581656; 1071172331; 735140954; 860471795; 846808614; 138861415; 487618233; 304190195; 801312751; 902611582; 589795841; 1002191494; 312774440; 892913986; 880353765; 183771819; 78938734; 218412499; 160524962; 1053084730; 434300401; 395641951; 824021826; 740128528; 367086316; 485189267; 966677305; 566207592; 809698686; 223299584; 885721450; 546104269; 454940252; 817194696; 972248611; 437962147; 292950770; 89453250; 217341751; 411568189; 983185959; 1036716127; 441489418; 158966284; 843655874; 433530778; 493523316; 1042242039; 67337069; 379310793; 119225268; 106700668; 706257150; 903285787; 8850508; 302143481; 949360166; 158138209; 745568298; 369322600; 392787335; 971755388; 760048155; 1010510839; 609380543; 824919125; 387403467; 959095659; 884061873; 134653855; 80790090; 639302924; 162898346; 421660653; 634632884; 927735201; 268621085; 369489102; 595257146; 169887153; 193450543; 962324659; 763533058; 235481653; 323526814; 538952016; 606471602; 317131160; 388972240; 105730355; 603771506; 547776626; 588166242; 625619919; 199671385; 595896340; 735790882; 656535092; 803506803; 687259913; 75632145; 418895463; 416161130; 759317305; 953120976; 744663493; 777102292; 1054755356; 476520879; 757956690; 1039876948; 337816307; 597688135; 565275645; 792040833; 187015364; 1058659676; 137285048; 234015257; 1046857695; 666347462; 255271623; 272575106; 288324528; 18096673; 512139138; 907003241; 1031473922; 1011651022; 564314008; 674053941; 595249286; 810792110; 377956917; 1051365656; 119796579; 73953019; 1046262132; 165165512; 564768509; 401255998; 650532176; 311376607; 104926109; 500616383; 984425724; 285889617; 377902595; 662323049; 875612756; 315312223; 159851905; 666032283; 11783331; 410530011; 202532998; 289179381; 562547020; 104241850; 35750248; 331956560; 830771385; 886425173; 1037987300; 219529071; 471526831; 1015185048; 321818312; 802054708; 824065205; 568174748; 591511586; 1030181397; 784176480; 803506318; 749343162; 752809874; 462780496; 214697222; 174472580; 220915362; 1053105886; 685495182; 658596756; 779190383; 944994504; 516589393; 362097094; 1039579763; 118248574; 672395522; 13800027; 72131982; 845463999; 484091538; 329379327; 270999225; 401723020; 708399250; 431189147; 623527102; 76907338; 412508584; 289733118; 627533263; 568705594; 979318560; 429354467; 108748364; 638058685; 501502790; 418621895; 952253204; 533734973; 85810584; 456979346; 744136609; 154017087; 155665168; 26693015; 670998184; 41651113; 237929148; 784627115; 703821672; 923804949; 596471091; 729202238; 723714205; 930718705; 370530163; 20032864; 315206333; 241452915; 703149906; 396982016; 737385456; 709508742; 343610705; 331963578; 920480510; 487900862; 974247541; 126946700; 45612650; 391668251; 413185486; 570553453; 940576098; 807146593; 898121685; 333668799; 272119305; 533213728; 571846949; 27861312; 639023082; 613877197; 94408628; 519142834; 260601958; 980755267; 920977534; 742281034; 165071895; 936647113; 882203276; 85655414; 437620463; 611146439; 82809149; 961950306; 294170983; 119390381; 14179430; 874671067; 644634944; 499320422; 898784310; 554843520; 43266731; 594704483; 502070971; 319564458; 972583508; 117645381; 857671710; 849873404; 391896180; 1028184902; 818371518; 228517544; 556594274; 891610872; 569343810; 1059890952; 213034254; 589203475; 621271677; 167393533; 708322634; 168671577; 571993741; 748664753; 933462894; 691091732; 476697883; 117746484; 533593722; 94342906; 366681677; 241270101; 823224054; 277985251; 142685056; 124981513; 706514743; 281222439; 248917954; 229484297; 906549851; 458970734; 972522986; 507142902; 724352566; 1025899615; 55917698; 436397193; 160825549; 1049004799; 828527665; 82168838; 395506629; 399079700; 510919474; 122581465; 599319831; 804152511; 471185659; 213103314; 978889168; 301450066; 508110767; 806478578; 867145708; 619438617; 149572136; 404410810; 247517626; 988948293; 1021340973; 812956341; 745631561; 1038081758; 859693714; 956668403; 703507420; 611766393; 756107721; 415369048; 938820610; 625029445; 177057648; 22069506; 1047973305; 457107682; 480167629; 647886106; 239195806; 37441276; 322940188; 381930614; 818464673; 839869544; 293846233; 400998358; 33641790; 988100408; 655750927; 383158919; 387387154; 121628806; 496604196; 259056982; 623768499; 403822393; 215314681; 129024272; 182700750; 528135497; 863870797; 858299572; 836796776; 534317517; 813277918; 359386674; 1051151663; 295089085; 574349361; 1010523142; 558589628; 465800893; 1003221770; 839661226; 704361267; 47264653; 713325213; 396358017; 321019502; 334039397; 120243185; 132544074; 361608196; 443656302; 850906990; 874937570; 468992178; 642213052; 530195276; 959215164; 1033416375; 153506073; 267180124; 412823403; 195307632; 245980338; 584468114; 1059922913; 557887613; 82888696; 1015184394; 906770103; 343858748; 35229606; 342457675; 724289793; 846375428; 911029700; 732807254; 667128265; 679646442; 342530633; 894107604; 685415926; 951996051; 526158791; 234960385; 368483858; 219271040; 911069995; 32956727; 71982687; 965086239; 575396931; 397205177; 522208759; 754769191; 66038808; 104536296; 234372752; 719681666; 300217709; 291596300; 1005236943; 227759173; 492784678; 777568918; 61655736; 872916330; 330215069; 829413854; 676837891; 324697009; 327312212; 1038481288; 441744078; 552580965; 932337915; 929761085; 606413676; 390773688; 637835865; 898087342; 17001742; 747544442; 136301081; 993732408; 413625166; 209272324; 260936838; 313660390; 851841661; 499674362; 455312303; 646194210; 481537601; 590028967; 693123074; 138695183; 349435423; 626391581; 326669863; 1016632468; 182825063; 128301882; 946967132; 515220351; 545510593; 538249107; 269719234; 413045498; 622574675; 944197579; 238827705; 223932547; 788358919; 478989844; 854240461; 633228031; 846465607; 935120890; 84575097; 903240823; 323558584; 882683936; 632637064; 1003942567; 723684944; 238353695; 136662447; 273158570; 602323197; 230465133; 1022774901; 47562764; 786789997; 329090807; 546085989; 1051286172; 89266571; 36359803; 104746869; 832785774; 594184250; 509017992; 142092247; 188063559; 440757528; 127362398; 951089035; 853176350; 694130163; 336902379; 1017003677; 235270050; 109880563; 692552193; 878416024; 515378868; 667310271; 258067394; 667484678; 323844340; 630036846; 847380135; 550419894; 552311062; 344289620; 936327371; 321010268; 653595378; 832941011; 1017224527; 666818321; 434934369; 47343288; 631371228; 438381455; 900860808; 824759998; 307257672; 885231582; 645505484; 655310298; 1039476648; 301435761; 1063611572; 62685447; 80464527; 467663891; 445741173; 1069972331; 586364911; 420879831; 314117812; 100526239; 790548371; 679841485; 455376049; 853983330; 194364662; 299251928; 802706647; 797514944; 252593323; 936577618; 356542513; 480758151; 386115836; 585990794; 284539530; 203659587; 269767006; 79533369; 377325033; 930100613; 133052463; 622441822; 398444853; 578578803; 985489392; 622583476; 340151424; 100806811; 252697699; 682631581; 901240489; 605861792; 896704893; 547390831; 641805248; 885112770; 1048435289; 75938241; 970405222; 862514497; 577951686; 496092745; 494236998; 816586608; 478424512; 477946970; 596146869; 596772697; 628245048; 996326738; 198105310; 26702362; 109071593; 910569910; 888228911; 864565139; 605474372; 277346397; 523375393; 574540853; 329624296; 242878068; 777585009; 514397150; 949291446; 813956878; 211406301; 761328786; 565368418; 922969168; 109146424; 70343382; 187123987; 52075610; 330230603; 248099767; 583943987; 43182538; 348136049; 518704616; 1015624245; 52541534; 594128190; 748149500; 692906098; 1066084613; 882839394; 309420288; 208959550; 598504327; 782770764; 536000551; 881292824; 679366903; 84270299; 850300730; 1049772647; 607693419; 597189210; 746163182; 393930462; 567177697; 982756073; 195895407; 1000501095; 849095194; 360613821; 608894451; 951308211; 609159752; 654146555; 818018672; 740516997; 176131904; 576652004; 933877181; 184939627; 102506279; 101516591; 362885226; 1016228815; 873213373; 176165489; 606293272; 1028350835; 582814078; 1020809490; 254553847; 772389475; 766227874; 373942706; 435359339; 856679939; 485518357; 912696353; 34320486; 78850479; 575049779; 575967036; 735534086; 300497548; 777892790; 885745564; 306704070; 323171692; 432495763; 675445090; 824427904; 129109069; 551119137; 778171733; 785823608; 651941844; 244526473; 506856009; 389975340; 338111786; 143028616; 36247774; 393500016; 20431209; 772306252; 63486725; 438729804; 973146725; 342588940; 553519064; 214149102; 411400566; 913073297; 90981349; 106063898; 810447994; 885206617; 121493852; 400110784; 517601950; 244136624; 498522973; 594282710; 389038284; 350097464; 137289364; 77218542; 864831005; 722514872; 546266734; 259525429; 588602233; 790763590; 48592629; 10403111; 777772875; 24823706; 1073171450; 368019662; 219513835; 818894844; 260268238; 73559832; 699307739; 235574575; 986578063; 247415013; 670209721; 691503119; 178773436; 682751800; 312277863; 832552248; 74847397; 413492077; 427363637; 613524096; 678625769; 287209100; 397978782; 474865037; 786660736; 858429054; 316355314; 235286720; 429568207; 781575670; 101562102; 344929540; 212209612; 352935012; 839804793; 477650262; 582564559; 25306830; 472165444; 762092334; 717314351; 950870428; 465243053; 96629563; 80361179; 3093378; 1957666; 33642765; 109732430; 555401648; 204459261; 862952819; 170079421; 1019288651; 442295421; 129313871; 1009863003; 298973211; 367269346; 258055160; 342808147; 354544008; 874357619; 374404480; 50826608; 333769436; 122191131; 981226223; 592482879; 748604631; 724775548; 82570329; 970926768; 303257504; 234977033; 77607259; 704856217; 237359358; 821843096; 1043097660; 464303337; 712202445; 496966565; 300660310; 682596288; 423056391; 87383513; 32379821; 182472406; 203563717; 827424150; 986563504; 499214140; 825405684; 653748461; 269107647; 324932785; 387404864; 762644984; 169720812; 992156346; 345216562; 383736216; 1039585687; 73272058; 560447198; 801609755; 82327904; 596849128; 933007412; 788299453; 210401679; 631969567; 149935184; 482364006; 47625986; 184147116; 873783891; 479419151; 907717813; 499386351; 264432752; 205438083; 165886705; 917204892; 1036482879; 1067343358; 957401136; 496965831; 1065789706; 1061145626; 923138778; 674758706; 177441006; 268494361; 412041348; 945486813; 931145622; 636089283; 470134947; 756634704; 227867917; 872301113; 246253885; 215811352; 980031231; 55019941; 822571238; 292098397; 963611345; 753508413; 23183248; 808111373; 311102583; 565414068; 801147374; 120764327; 670378825; 211894833; 203110878; 412580496; 632626278; 1068094196; 527286587; 62104724; 387412547; 654523114; 967008101; 154009507; 974420648; 103217989; 1065536622; 905855250; 695491464; 866818476; 690366857; 835360581; 842142110; 418559278; 484192317; 968187823; 504433969; 895991568; 164106712; 206154102; 252535624; 842291077; 31236136; 566669709; 527581083; 945945137; 1050593948; 568147762; 470650115; 1061160887; 803167558; 758438693; 310584317; 806943086; 584347914; 920054489; 853862332; 1031351098; 928594165; 117802981; 322297974; 839087481; 778238033; 873386197; 336144954; 947830531; 921528818; 913131706; 660686399; 147199149; 396025064; 387063538; 955880539; 329635031; 54261608; 438836115; 815651901; 618135654; 271971239; 228078812; 182133147; 779993129; 311160597; 591260531; 274480750; 1001478778; 515623063; 1002701086; 675639944; 883756865; 1043964215; 248637148; 665855354; 390018481; 686130242; 431781602; 662422936; 739650216; 25970045; 800594465; 163072570; 353563421; 135111712; 542602009; 738856494; 51238940; 653278546; 205603353; 1010572517; 1046120311; 411610313; 328545893; 144590677; 587452735; 1059812931; 1005332147; 621228399; 531655457; 722656565; 140024015; 724391641; 384160898; 597075501; 327906411; 765842843; 809226971; 414590800; 320450428; 551183338; 287579911; 304919248; 268634176; 293738507; 190775879; 526678656; 38171082; 72075958; 895120662; 798108738; 383029682; 283083628; 743653977; 641037457; 808476559; 664229449; 727846800; 190580933; 1063907780; 911362712; 1013717839; 290799280; 590109403; 26910180; 620267112; 332277845; 345473727; 382296181; 93479591; 873175863; 986493524; 168058455; 33205604; 347189624; 120027403; 551027683; 1032504143; 491220647; 652807044; 770104384; 103755174; 317867667; 998111727; 298410196; 552398990; 852932297; 729094451; 841982393; 763844372; 509000797; 44364263; 658418865; 949898410; 1014424627; 747035177; 430519592; 431105098; 837336681; 315778233; 853903026; 747425654; 918054706; 601005624; 749429453; 388530983; 633632074; 244619747; 978508926; 562055200; 912336224; 909257212; 934817332; 119463253; 517037181; 812663308; 754867588; 29603025; 554829710; 856355401; 515475360; 439100263; 115817845; 434840739; 32515137; 1071392268; 313061145; 936683762; 209488353; 671709489; 31246269; 780403768; 689173315; 562234421; 589579962; 954784408; 700563876; 397694307; 202534852; 625729891; 899987858; 118755682; 132541127; 374783833; 915789950; 688545744; 300346187; 1061392849; 820563022; 709240821; 416516319; 208697279; 433580198; 29451674; 1042803826; 255151114; 201227113; 953407403; 152535832; 989182847; 60442620; 728362996; 50043854; 566318981; 703489259; 772587797; 462097140; 10999976; 62986276; 932473505; 80104914; 533492961; 573096965; 89540315; 31416118; 301580294; 1066634070; 202013054; 624694819; 879274017; 3908820; 753693577; 753910728; 789707728; 893617695; 795566266; 347956250; 22117986; 351608211; 592103060; 879858041; 205137698; 431277867; 120836229; 665615643; 659800914; 657123098; 1045927827; 426046905; 888302748; 303204287; 675665875; 788196642; 843031525; 882986365; 23524878; 709752047; 1004751389; 385022132; 1004192152; 598999759; 276747632; 644551494; 7914755; 152866258; 839666846; 858484926; 236047983; 707743796; 1016816983; 563848824; 905883868; 455751160; 111303887; 859528059; 1070169364; 671051096; 670204604; 822517078; 887998114; 5128710; 293038935; 255619251; 825254690; 537939345; 950573930; 172999574; 988981176; 915251844; 640145623; 727701925; 428499228; 560035391; 1069033658; 564355368; 365517832; 10406575; 245496937; 726906371; 248508103; 757793818; 779067204; 573307014; 625751778; 121372447; 229116851; 66810900; 730669247; 25317716; 302114615; 862155845; 651030816; 462565027; 963044779; 1067363501; 751384968; 269040243; 696008274; 646591397; 1017215276; 449317375; 905091422; 98587968; 133121835; 680564995; 175607879; 270737364; 401908405; 6792469; 619244041; 732291976; 73610873; 399975408; 1064539343; 1020014526; 331073231; 216664193; 977735555; 73682282; 624592545; 235721422; 671429985; 781837097; 929503241; 578524303; 621241451; 201405282; 264305570; 572724861; 846498645; 92516417; 549920164; 377713093; 330436917; 192901211; 546685734; 354092010; 683794715; 999468440; 150012651; 844705197; 1037772080; 37493424; 311993961; 899976228; 265349458; 808524784; 834575419; 977096408; 687005490; 35807282; 243815800; 77281579; 145419838; 127030105; 535583352; 1025361502; 1005264427; 119884606; 398019341; 769695140; 294844702; 430010084; 200535673; 855294465; 228846465; 314415566; 125893884; 325332969; 26181014; 40562917; 3405202; 486262287; 72315747; 609297214; 53590749; 590395773; 914731075; 1058863102; 292726953; 488340899; 486324978; 669752206; 446675960; 818513221; 431104114; 74840425; 308409646; 157013156; 839138309; 843380990; 658453460; 956891589; 327738737; 330306981; 935289078; 704365390; 68565114; 948512980; 729003125; 378230581; 906420707; 191345626; 499631912; 164341004; 555679403; 991233959; 112148412; 13171246; 657804758; 216097062; 857514572; 1002058885; 328882478; 165955333; 831996391; 348420435; 459923707; 430981118; 166506866; 285882611; 94328398; 990066700; 338553813; 634275873; 671830526; 575649243; 952357522; 965704725; 888992315; 1064876705; 156498391; 236449029; 940877739; 635755228; 944084561; 85623733; 100278340; 248717973; 860991646; 622568992; 397570975; 443566522; 982856417; 589392807; 284199637; 880302988; 597870625; 174792861; 245648351; 920622952; 94276193; 589211999; 486193751; 155785693; 416483969; 549550940; 430811287; 151513626; 434887685; 822051225; 874935211; 838928307; 86512458; 165027400; 192275292; 260693350; 916415740; 177771207; 669841347; 755085095; 254420639; 741188402; 188266810; 950324832; 822450786; 320085634; 880639048; 1015237709; 716272682; 951188918; 959539199; 234181393; 548479533; 240225615; 590654871; 949332480; 224464946; 15347303; 97367344; 990351133; 766232067; 16394235; 930842058; 277088768; 442311002; 1060126837; 889725424; 250920354; 721030644; 21140493; 966125074; 885489298; 538646966; 58873766; 706375475; 150122297; 950759640; 521373550; 8957442; 235308732; 133450399; 709495935; 828908389; 347882658; 302055870; 147372136; 989565049; 687780083; 238669005; 141562707; 171379343; 946897778; 133288811; 549757364; 377117303; 420021964; 807411661; 284806413; 161038732; 27069466; 798463311; 906344262; 662033307; 912120250; 181335612; 864708964; 467196497; 733256683; 537861779; 310102893; 585121586; 228733065; 180613270; 766086037; 198198885; 363526094; 989847819; 310004422; 513997769; 256911781; 829633196; 253013317; 550351464; 831032352; 749092813; 257209316; 153761338; 316338033; 283050110; 983134341; 918959277; 73336102; 838989348; 316266171; 1000868421; 262688090; 964992282; 262154031; 376363227; 675204393; 995428169; 424759542; 151606009; 525417032; 13806097; 472470226; 996199091; 317112100; 198873790; 698137209; 284011960; 108144875; 315430053; 92598296; 971717797; 818445458; 408193077; 66640245; 1022485862; 700203980; 219121963; 631923590; 97734795; 540424040; 1061164571; 786215941; 644534882; 63988235; 41524528; 446615334; 91681977; 618486161; 759659329; 351234854; 1008795059; 370176163; 311599068; 178313514; 204356528; 648655998; 10147521; 83242311; 511183236; 155198050; 699310455; 358155560; 182247419; 149295496; 1057833685; 417371091; 573373089; 594908900; 901099977; 983225280; 329242366; 67225039; 385730581; 467945305; 432277828; 975964788; 737815909; 678549082; 113692400; 472905556; 201773487; 952912842; 328492972; 393893512; 80509027; 927581586; 88879893; 593363107; 1043009045; 377917575; 907315048; 719834439; 610327154; 1055194045; 183073775; 163019486; 246798308; 165452583; 280014488; 216043648; 769060396; 284551888; 831491594; 848172000; 406515831; 466940223; 899799432; 485489867; 922403046; 374792409; 899249300; 351123143; 34102896; 869118802; 660447118; 1060170692; 621358601; 104150153; 107790298; 18424065; 618111062; 78807923; 625888557; 957613503; 933024338; 733764838; 781820807; 143914649; 616063492; 313998536; 150438913; 5545761; 606728364; 699949409; 942520134; 638776748; 397917358; 639944346; 968814434; 127340037; 704556562; 816633780; 10293489; 229344989; 843827847; 1025978593; 238860953; 72890861; 284013243; 42166167; 828113295; 981749288; 557009166; 602699876; 190776913; 69821617; 1016792042; 216398482; 1045114066; 1017513229; 733240530; 201002327; 588210786; 953930626; 442646937; 617945317; 780659725; 876606417; 844872620; 923453882; 706427393; 699000981; 22636350; 450884498; 299335311; 392421877; 70488526; 1028841694; 193305125; 777999612; 709721223; 175307437; 976536794; 534565345; 997969436; 64822015; 9105295; 410200603; 688457153; 122192590; 298455617; 1068462047; 90935368; 1032610497; 558582864; 1058709373; 801517384; 335692359; 23877067; 827338372; 394777777; 701842267; 218795079; 555889945; 373506629; 961115551; 830558746; 986385219; 923642749; 165471987; 921389304; 218233098; 798698467; 552168906; 348629088; 547008683; 680121332; 867735932; 131732264; 370645204; 226741918; 260630302; 312165075; 817176694; 420241401; 1035118299; 242327966; 583721222; 540975159; 257628816; 118182716; 408598661; 686500884; 248699085; 1050714857; 232438766; 194153976; 430420201; 227544154; 402224915; 744633254; 1071255652; 882523458; 954374703; 507874820; 956155746; 923728770; 605090643; 677259566; 457341190; 305669441; 1061167428; 583319922; 139263478; 697577218; 41753674; 538971102; 485105510; 939375959; 877581822; 1038520728; 62789328; 614447394; 373327409; 665944486; 507678299; 108474618; 350430840; 408267797; 302895252; 358466832; 749236017; 523279558; 328503452; 680015517; 19205056; 781469390; 381484143; 532678196; 623282863; 140077590; 947360144; 864914423; 381915575; 762472310; 33711137; 744460128; 662787028; 1058317504; 269603010; 662012201; 315229992; 558049365; 35724396; 718378279; 103083990; 672089627; 707502488; 704768846; 773139530; 706474896; 249450143; 957030104; 977678029; 938803004; 927579268; 89283526; 759348388; 318128522; 246789285; 709108450; 861657974; 118032649; 443791817; 299213787; 961861412; 957005536; 120540250; 786610634; 562009232; 669004650; 363411916; 777735718; 848540377; 327406158; 1057392854; 974535233; 1020828507; 163875080; 27026364; 1024563059; 979955294; 576790857; 542552664; 866365304; 874214661; 605240212; 479927968; 644069126; 979155550; 340441971; 666916843; 248531951; 684418364; 1058584045; 264563151; 799295869; 447917104; 950360824; 753241739; 317842970; 736794038; 603517230; 456755980; 154570492; 884692645; 174065840; 439204531; 931814832; 261992962; 334842663; 784545631; 1000630826; 915376507; 846246787; 521114777; 382044544; 968490299; 61336429; 325512688; 456232256; 837220709; 129216778; 878349978; 661185132; 266731932; 757752766; 19633896; 816404526; 49398896; 51160623; 206474705; 940880317; 383047794; 472596772; 394805822; 414740792; 1053432014; 336273212; 1030267818; 508879601; 865114063; 459778340; 283999874; 798135087; 778134120; 981376274; 28371788; 487124145; 800283759; 363933913; 1031732485; 971989725; 232936437; 904467588; 276072201; 199277278; 118492091; 185262787; 965840543; 569641767; 651018463; 282839484; 228534840; 552785397; 944989430; 795683896; 22727983; 623443367; 39185078; 823211784; 843137210; 416051220; 245722052; 358563041; 68006471; 402881999; 587697964; 426520233; 820816759; 1055482656; 44120313; 381361888; 666357721; 894118116; 883107224; 1013685436; 441625791; 602939438; 196861511; 663975145; 410433790; 481157676; 60561292; 801887892; 175887267; 706860362; 680100199; 286659946; 829547894; 1063948112; 307860385; 529005424; 483629990; 214419600; 130426819; 642836782; 378584345; 447495045; 877265316; 289303056; 21410604; 936898437; 162201639; 695261443; 623951419; 100163525; 1047084301; 581703374; 614459170; 664370352; 3151715; 387348424; 405943172; 172391656; 806582504; 359650865; 492872477; 69377687; 704662995; 436103305; 1053137035; 65698765; 48643088; 202702641; 465944923; 113654267; 658820807; 1024796561; 789271743; 1061205846; 750143178; 381390926; 454134473; 620939348; 245716554; 855067919; 471627741; 726315452; 210006895; 765950340; 214119783; 24022075; 570716860; 1026115543; 494381063; 327481158; 425832710; 764792839; 523988257; 330562672; 766180102; 714932361; 1023118365; 8360804; 274423288; 559251172; 62242827; 559683343; 119902109; 662564809; 941156799; 381680053; 754992094; 311584291; 267246421; 319710149; 36661046; 105492776; 613350597; 396891787; 629136076; 409725711; 1049146017; 597414246; 922275073; 877448654; 632309503; 134337815; 949567295; 821731274; 959984262; 315138827; 299940237; 104486836; 710917946; 681867519; 236646059; 313382739; 832211322; 407305804; 200911303; 339434082; 597851038; 53119131; 155679030; 813486216; 715109308; 350660307; 635100442; 598284153; 186778915; 951195798; 321548434; 574727605; 959516380; 881047938; 1042906372; 159196771; 732837914; 136743552; 599066934; 1060711668; 434408199; 654025809; 501783964; 523781660; 335584879; 585876840; 759165403; 941568835; 358726008; 928067449; 1015535720; 1023668657; 13943702; 542484143; 71722503; 321285959; 219284763; 113917583; 438316671; 594722815; 777263975; 348107025; 620684447; 789667195; 258505394; 7447587; 787018246; 259147150; 765975540; 735879202; 299252644; 778248247; 585677216; 752791367; 1041407970; 110547029; 246768794; 782264449; 978692162; 295197098; 435170317; 1051160562; 689977780; 686216375; 128193058; 29922081; 584812319; 290915101; 722716313; 393717949; 357402163; 567934694; 590399326; 232390568; 472619878; 995321972; 395458546; 974767690; 34584800; 320129600; 802330078; 422810314; 610826165; 967181685; 174999143; 260131392; 693203008; 323694855; 931051324; 57350018; 865942325; 664628158; 558838146; 750347285; 438499063; 961331947; 593053589; 53636455; 564604286; 581400396; 286620698; 173644378; 305614360; 593900708; 679069793; 1073549689; 129444135; 457837723; 737101159; 692282324; 353751138; 621942646; 495376664; 74328631; 274646811; 201190222; 807433129; 1014261376; 569952231; 360231015; 688748267; 582914131; 592507027; 197474885; 146160341; 726369628; 145946803; 676195761; 679334186; 194953761; 893449124; 470435062; 840895009; 246264370; 803559819; 36781598; 68488997; 838406178; 4072337; 503384129; 388843899; 929852504; 113307514; 160843338; 6082502; 505334043; 631288966; 788956190; 254642216; 600715752; 1012503217; 898060581; 311989961; 813178594; 851746889; 552878875; 210410669; 554437646; 374131121; 1002534772; 1015214071; 72362737; 358679945; 810413634; 606719849; 913395896; 659058692; 311617417; 277567945; 727833255; 474901730; 251877384; 680615555; 476332469; 543957166; 769324037; 684070097; 590265697; 935709080; 343112525; 811085158; 449104828; 956552883; 742349622; 933320256; 63563831; 502816538; 846636372; 946516764; 221447710; 87492841; 977296692; 197900832; 11813685; 581011139; 835220192; 771760603; 457130697; 808388246; 841592341; 866068154; 354548782; 108893378; 1035617788; 166921983; 774806082; 80251935; 160231954; 958536219; 200581246; 979618348; 117110538; 969073944; 128536345; 1016899224; 609679376; 953725962; 375099336; 350189744; 472869543; 381436985; 67332742; 319449645; 922763659; 772097605; 324394070; 1014345834; 948370737; 240758811; 1049277092; 1005156075; 866315986; 184904942; 47393135; 808366633; 103883464; 776459660; 519614771; 664283297; 951629671; 91355780; 866763897; 132404119; 188702895; 91585017; 630187663; 650545292; 304882853; 356427858; 613285815; 641790964; 979141290; 814805840; 970146133; 753168841; 852560148; 590370457; 46383699; 1027355660; 824372097; 138730381; 671640759; 1014671571; 766446773; 760078968; 779765334; 231634697; 780451812; 385086614; 715316426; 260145810; 142403160; 212021927; 501683341; 504772423; 223975647; 774412208; 452547404; 353058140; 966164594; 979702682; 284259639; 170221743; 958695859; 227417490; 493866271; 1044814656; 430470425; 281477037; 737338914; 412939993; 709005041; 135220114; 683339312; 371193307; 531698768; 591739524; 1059489551; 395143739; 574814850; 228961499; 944588205; 962601049; 553550957; 57906023; 60823871; 729152529; 845682760; 215526204; 766076655; 850901523; 735609647; 656381403; 487446904; 470291388; 868021881; 111705483; 776618298; 835805411; 647878303; 400647202; 299512044; 699640056; 356594583; 81583178; 601519051; 860636231; 170332065; 418899415; 703374673; 786606113; 911356508; 291663834; 146965533; 370402978; 372247438; 513792083; 894247140; 749512138; 890004516; 449447119; 1073382863; 374242725; 477325222; 43680753; 912560704; 374977571; 317992821; 976935673; 258324551; 608894702; 537370302; 896407432; 481428737; 833124962; 775288036; 19471351; 518967288; 83596001; 795811262; 420592447; 452783485; 556878156; 581761002; 643034186; 438883363; 138862475; 867716372; 419022001; 274209684; 830210783; 534137662; 215579807; 746134443; 20959871; 321532822; 353757791; 500512071; 27351848; 1073446052; 799254950; 100719436; 803248605; 262954345; 500743429; 967705152; 863229787; 919928187; 745334617; 257105022; 606423950; 108102025; 136406847; 437260787; 587580707; 914740091; 139427047; 864215906; 63503288; 358421800; 359555286; 1033036913; 378344677; 479961887; 424197467; 792829472; 395003139; 443769864; 824334477; 306742252; 486465338; 411023690; 291945466; 569029639; 540784258; 200205378; 805018347; 245416865; 76113950; 505503516; 1002785807; 439808827; 212868688; 2782181; 117400718; 407020254; 663301839; 700278177; 411170757; 610556544; 399184635; 439772526; 127264823; 959652832; 375671581; 63873313; 582075593; 651207209; 998509440; 123497011; 988874489; 409010687; 857884165; 623241363; 1002990517; 181482861; 1032246913; 512154405; 125264657; 186678660; 594945096; 891559698; 851439789; 850274534; 679072902; 543443097; 976177314; 189939009; 817042846; 337289743; 702926849; 54572121; 379592946; 755707172; 757392594; 897956645; 679553208; 763674852; 481272347; 1073324199; 259033598; 4518061; 1005903841; 909686010; 717664844; 911185067; 192957199; 552791404; 199170793; 135878199; 296942399; 334219397; 140162699; 796803480; 502446140; 52033836; 1037013201; 299403249; 392511857; 508410492; 584790; 501493623; 899848960; 429241530; 238330282; 722185223; 789484053; 807148782; 331974784; 379945772; 1072978277; 466860529; 342643526; 803113012; 638699329; 392617937; 275964463; 897899038; 444199093; 888673364; 557083961; 790977498; 912684762; 1054775605; 190217737; 550316754; 392844048; 42088332; 484767433; 300488425; 787310348; 363673596; 813677301; 685990922; 180323656; 139192326; 1047565329; 484792832; 1031948738; 468886977; 992537348; 1052883400; 209810811; 279588700; 893838938; 218394416; 968835960; 222330486; 917399233; 330297661; 374980708; 706173785; 631130295; 504203462; 733573145; 285519586; 280257457; 226053994; 912204142; 617557274; 1040685354; 1000809812; 421826006; 757980300; 999262028; 545350256; 516393713; 718610415; 1050779995; 900876208; 423178823; 259872652; 245100286; 894396667; 715055208; 148123628; 761477831; 55633110; 311069407; 831855343; 511762737; 676094135; 874795701; 540940193; 386372058; 780149143; 665758842; 1069873699; 955120391; 188965221; 517647439; 801308413; 1028873891; 108704211; 826576310; 528247771; 979591648; 430903698; 366005693; 525505489; 708425139; 500483255; 543974793; 615073069; 569218076; 662723988; 326360647; 751068718; 940387975; 964223809; 406930496; 468279042; 822650278; 584565898; 986195956; 242760798; 574409393; 512783161; 687549761; 327987556; 458110922; 434662929; 602537699; 880752543; 936468602; 9158912; 775461637; 1003505747; 486368056; 75815178; 770586259; 806436722; 956616206; 503880414; 407722880; 230875965; 795867816; 1001251225; 269569393; 893987097; 329071087; 686651199; 704253090; 220660589; 521466126; 103820435; 816921747; 688755104; 602894894; 21253697; 513401246; 897805818; 425697711; 961727809; 618926925; 769803904; 868237095; 119135749; 646293975; 782008830; 820781866; 779974046; 442291018; 706588593; 245040674; 436708128; 389487971; 199314025; 394311982; 236440326; 176477592; 767495011; 242282985; 848723641; 495386752; 911256930; 691173335; 291952757; 478389149; 1070548389; 466565741; 666104530; 933510479; 315106155; 935281321; 242204387; 191679081; 606265876; 643563683; 154336043; 125296268; 1034610642; 212486302; 988416244; 955822340; 504788606; 827749561; 294346097; 194515785; 279621127; 634767964; 411582305; 735386897; 911572774; 969347056; 43618036; 560943966; 893751857; 306346098; 460236000; 869925074; 864899529; 835760632; 216601008; 420599606; 814471868; 1064504324; 484415967; 125194711; 550359672; 209351688; 410949643; 429181089; 423578637; 1025354562; 992543141; 896957229; 960628474; 1073087935; 222590450; 278561706; 343586294; 1062180468; 809952019; 46061897; 537378666; 721233004; 756860068; 259747332; 1031180273; 800894742; 548882228; 545911678; 9313599; 393529221; 5703228; 282494470; 341107842; 750867318; 989268111; 871450313; 585990212; 583534616; 23275978; 330604935; 157070475; 290249708; 313475966; 785731810; 289218928; 668914537; 173206493; 245449034; 660911217; 600646954; 299121781; 694447012; 703152222; 796359613; 258976950; 690076401; 751101663; 503591027; 255540864; 305907359; 658687808; 160883763; 554610554; 331101547; 882212568; 664370776; 1045672372; 483592255; 491636052; 780405051; 399348498; 693124162; 238988628; 69221506; 189572007; 632863198; 471256476; 673943223; 1007852480; 982041344; 950160463; 451954271; 656293674; 642421098; 946691518; 736942899; 5549707; 226504222; 163800366; 342125476; 386703396; 272901011; 491355983; 516182463; 751313582; 446185464; 993971333; 713510150; 885466847; 323940734; 629317660; 652020086; 270692268; 870630905; 371158610; 447290555; 192020913; 675191231; 108507264; 300296777; 80375443; 31940343; 782809534; 869772452; 120985845; 950184671; 1041934379; 392532266; 614636860; 67371485; 1020821353; 781999351; 1012639788; 881708396; 893579477; 472186943; 43298927; 85687800; 141113211; 110172637; 307243074; 746151268; 118872848; 660756070; 860441763; 400688486; 362635978; 695773239; 932925924; 779175330; 193743668; 599469129; 340350822; 176477148; 1045755590; 490426420; 248214047; 918470711; 128432240; 32332439; 552846823; 407748066; 42622859; 1063159029; 1025184856; 727223446; 353796576; 593378756; 1023348738; 770347564; 368403241; 898320005; 746419629; 1024621616; 150022544; 318021831; 551097834; 896422362; 711518366; 653551680; 585270018; 1001540830; 47449238; 64401897; 393543981; 346455280; 520525117; 687407527; 656266358; 526435875; 145462573; 908478813; 393041061; 516965413; 425868610; 752841082; 7887545; 1062560397; 712136347; 1034911301; 913972118; 721002469; 269486608; 472631064; 8181818; 1002781880; 920763139; 872271667; 932363071; 337163339; 360745426; 140466304; 475935712; 504746090; 509913629; 569300576; 208526006; 1038318824; 244647084; 442074338; 157566101; 264603154; 817621188; 191920352; 551835323; 757560085; 506001259; 479417002; 59978442; 188060407; 802785608; 566325697; 318612280; 868950779; 489190275; 23253028; 437341872; 386133421; 887196861; 27666490; 56553511; 640835135; 450360854; 554075043; 903833255; 833769101; 669752920; 218585035; 70231737; 926478496; 466634500; 183926844; 1020518658; 959390218; 993423281; 136373300; 167041857; 323123837; 820540170; 283926894; 128370183; 227893542; 868119782; 200803348; 589100704; 318083275; 568090892; 1045513890; 455375909; 803709860; 595744171; 638019269; 1020575327; 1043571524; 613529310; 957828754; 252893349; 26799000; 807343877; 675628234; 758397515; 22518075; 747607004; 347347910; 33022348; 303962257; 93807280; 470417778; 439047422; 494528457; 335831657; 713613294; 66336741; 269224237; 899529356; 230684655; 935075556; 708150211; 514724363; 977505112; 431625393; 690724316; 556693487; 591400028; 563467334; 466497945; 947925550; 683373428; 578803941; 397046645; 115175157; 855380635; 564434733; 725185104; 282644202; 5396848; 848713092; 334883047; 332233049; 626655695; 326757730; 812878731; 1002439406; 332529823; 695143694; 458044804; 620701110; 678131702; 923191125; 704268192; 724387157; 157484778; 704258035; 811643564; 1064763045; 582363804; 212953856; 478787795; 194887270; 166912636; 1004590755; 396330701; 545852393; 366922357; 788446920; 903453642; 71811292; 958189787; 454246455; 169947134; 429120962; 144103062; 968596876; 483775528; 381626385; 235553857; 978427616; 803049759; 789233578; 196833475; 353585665; 929382125; 141492369; 420357085; 82729880; 925613822; 981026805; 467099037; 115601918; 320900240; 822802228; 1047075008; 303641845; 593018665; 995436343; 791569733; 448915436; 339629244; 208713010; 1069844657; 941009236; 263696149; 242541405; 185635174; 57634834; 62613680; 748076266; 522416363; 702260673; 404847486; 805278395; 599028602; 367078023; 404089086; 171807047; 310808677; 154520418; 786190983; 1053215403; 320908712; 645541359; 797092579; 872595979; 1037903226; 1052873632; 246257258; 614690945; 59420934; 692388636; 563877622; 660653585; 539440328; 110124774; 120586869; 358814515; 487449115; 102202949; 799495003; 363183808; 149196775; 958804881; 65685065; 55849836; 962612304; 524734629; 125966418; 259667614; 41721211; 713780359; 1048990520; 735278530; 125847118; 797032578; 769398932; 204680166; 828729249; 429071212; 499109177; 24589464; 342316749; 705130567; 7599191; 124009297; 605047568; 157376226; 561668252; 250329978; 120773097; 562638102; 970984454; 780789134; 923792785; 562302803; 329357659; 916369943; 260064538; 141210133; 866163589; 625373598; 779457128; 406745970; 503766028; 896596411; 540397723; 898328594; 258624037; 328464961; 813718701; 41828091; 867745721; 868161036; 51129066; 613379447; 260204111; 379808222; 768747956; 269913928; 439072120; 71811886; 950723002; 286585210; 384988845; 489822130; 299743884; 129992036; 117190547; 400313598; 880607326; 859957726; 277092383; 28091655; 980625787; 861625195; 492467077; 116060267; 969906151; 591836997; 496227488; 246795902; 358401538; 5637651; 709896818; 151511784; 511272999; 77880424; 328440304; 33204561; 998751133; 61592169; 634497720; 792177620; 129475297; 789017207; 1042758204; 42793106; 603569691; 60687820; 497823212; 1059578835; 518199024; 407181616; 1040315369; 165481002; 1024624369; 1011210768; 91880232; 269702872; 514949074; 185670668; 1047283265; 1059289674; 554404924; 1026815746; 947843687; 985537008; 274748090; 200433731; 421689242; 77266557; 137754928; 858162134; 319066794; 599197782; 672902208; 876538395; 593584729; 954681513; 560142677; 558002065; 564515256; 214362917; 870902104; 447510796; 870111381; 261065103; 269913214; 546953560; 1036710490; 513122860; 1028515471; 458035777; 964751296; 711328115; 223604757; 249763791; 970591979; 789030496; 419931935; 905040616; 156660908; 1032408305; 1032008973; 628250350; 972873421; 243260787; 509542853; 768972917; 157908571; 796004702; 214055822; 818203778; 918059242; 1010692381; 907972369; 594046861; 740323952; 961394300; 134967741; 300539492; 866882403; 814626483; 5624410; 861740861; 272209600; 25318269; 25644444; 816824928; 713405347; 545116701; 615392734; 566028753; 479377499; 72524596; 90940345; 104505635; 555005252; 719563748; 967439869; 529812840; 889679078; 847762202; 1053719213; 835179930; 309047482; 471294502; 699986844; 416834661; 377089343; 193530703; 929794430; 169551940; 716037063; 627406446; 534527486; 579672111; 360811890; 1041593218; 685735411; 212493011; 112763075; 753959400; 166751530; 26021246; 443812992; 383580657; 613290064; 830770635; 334493459; 543807742; 727574771; 492915160; 89151631; 619014350; 253819266; 231006561; 9579490; 670102414; 204142363; 8625031; 569680797; 341428378; 86905705; 566853752; 618505354; 893994008; 961381215; 826322610; 227266122; 332368042; 604516779; 28915398; 888330878; 1044063557; 373637917; 789334281; 199196609; 337877624; 150676513; 744045554; 117778767; 543335753; 845034983; 729252144; 614994009; 557805361; 238024917; 633872075; 393958604; 48652496; 724760180; 396318303; 370981768; 269094416; 413171775; 652673043; 381721763; 878011977; 771840746; 323771953; 345174966; 855700871; 421455570; 622343398; 182164864; 332515767; 445679102; 702911566; 986413123; 49558964; 229568524; 608164711; 1055065262; 969298443; 1068794767; 263659416; 664088649; 322782523; 975966630; 495340068; 388882397; 444294385; 143735050; 549903601; 761611068; 854258576; 417697595; 795317739; 754659779; 45572263; 737223241; 335861245; 794636231; 59917955; 1025683507; 160128395; 37728381; 726088767; 378125488; 768080410; 741218548; 694018196; 519550703; 873529750; 1027823121; 983711563; 200497402; 212878859; 655158396; 263697098; 829827160; 60844672; 571931087; 848078709; 255182352; 315312289; 418794382; 760340224; 92728375; 593912015; 255727898; 965062826; 741593775; 786715439; 33305562; 1014860332; 286544589; 273526885; 589130915; 712286676; 211635277; 345451232; 274025094; 177101533; 965774431; 339705416; 348717186; 478579728; 420027997; 333754255; 693666025; 596683907; 595950654; 910681307; 655353195; 405646025; 40080522; 901738624; 150829589; 1041095473; 465682869; 871295300; 628778437; 1037692891; 331749306; 910499834; 383482225; 539338861; 331325700; 867376443; 489555931; 1012251461; 195597685; 799108907; 836828443; 249409039; 876793285; 25649710; 821876116; 1010937347; 929932899; 138631828; 627966882; 896896551; 852496758; 413341605; 139491630; 451478886; 625118523; 206300753; 877219108; 736247000; 374305427; 188951081; 162824461; 537936197; 599494272; 102142404; 725891172; 456947806; 427948914; 703738398; 394995802; 196345596; 368196493; 713899492; 74478784; 773446364; 426242131; 828900525; 342149639; 246628059; 714248744; 69989912; 993808584; 595809652; 1016084408; 28477360; 276545655; 405386790; 435858466; 192928939; 869111461; 316722148; 315796197; 86566453; 131562929; 862723014; 230501663; 1060148637; 814629521; 361934944; 3945969; 685070191; 442644338; 907895718; 508832903; 543522769; 278675114; 564320831; 629652491; 697973489; 851916071; 445802676; 586519833; 646302731; 881256701; 510373145; 760214206; 540341720; 202268070; 95659681; 1071828095; 748166269; 413217790; 744196102; 511136694; 402380150; 828399815; 221402917; 328846603; 903830763; 503542082; 134015237; 85708516; 555945555; 651562204; 430264099; 212985979; 462650110; 555008798; 767708875; 914760903; 168573708; 79249033; 718339052; 600215781; 66776424; 349569107; 642480302; 283678245; 937976231; 205995330; 958067838; 132295055; 284504520; 443173295; 949607687; 692194439; 734307729; 802729105; 864940190; 183152600; 44101719; 87178298; 1042723687; 742241349; 82544874; 22246657; 308397379; 20002784; 439683332; 913708154; 764262595; 800707121; 529067544; 1057488873; 854365462; 30665247; 418242700; 764959354; 482415304; 389109949; 1002043896; 31442104; 672809349; 897036842; 678207312; 639169446; 40171454; 252746144; 410569045; 926035065; 530938748; 273572758; 122734199; 526166432; 279915207; 449411930; 916638684; 738544579; 371525747; 429804779; 961643024; 750202329; 705121579; 609647564; 533311731; 576434166; 502104782; 387426540; 620428583; 43838146; 648730850; 864802868; 443715197; 753120988; 503219604; 544414034; 784978139; 31318846; 954544727; 643049036; 190926058; 504942386; 11738512; 341274576; 866023546; 466046573; 382794339; 509341318; 1058358503; 154151028; 198518356; 190520233; 656064442; 785051915; 735912861; 161181548; 853670646; 954905324; 427335222; 1040515013; 1045105136; 126697591; 217756193; 111395983; 632542250; 849855824; 745987587; 845246983; 106638555; 517245236; 321246905; 605555696; 1057677664; 992428406; 62324104; 525398450; 183348376; 385836072; 329684814; 398325509; 864865928; 118596012; 160572659; 389453768; 982503673; 510044584; 739064826; 474223179; 217945970; 773388304; 773763297; 29366726; 334694869; 880179498; 821495416; 663027427; 527863911; 760728304; 463792350; 244810215; 7673087; 398802684; 548936999; 1050652024; 963196655; 611145461; 615377630; 668777982; 238208948; 969176528; 681404573; 678708169; 495089509; 682748943; 388283416; 838009996; 103851301; 293388704; 730880694; 310630115; 618221634; 633501117; 681770382; 960853460; 209553584; 71599022; 354644414; 305651123; 854376721; 771464227; 997081313; 555789437; 424121364; 748151985; 520490767; 615204837; 438590562; 717250958; 108726915; 768903688; 410553048; 18927299; 447776081; 601761331; 1028505558; 979189753; 589010030; 201350361; 351840572; 1066535243; 301313715; 481986744; 176842857; 665009716; 1015004410; 962511228; 70882151; 297665039; 1048021055; 885374436; 618431771; 259285409; 729281096; 734672482; 258551834; 1038759278; 479445479; 644390094; 3501926; 146705588; 82542075; 489536752; 118736036; 101434726; 876102706; 860716568; 574744338; 497595680; 195169081; 622910083; 989536087; 905159917; 885978617; 675288443; 823995393; 112629985; 576998497; 36455756; 540929831; 306826791; 488301328; 771441112; 988011111; 43302944; 238569692; 838442229; 1033879959; 331783705; 590905562; 266374863; 736210407; 1029737308; 61340275; 11958420; 485160157; 975288592; 876457313; 512921279; 969396981; 1040976215; 446188017; 595413981; 770009590; 523278345; 451640995; 443760612; 32822302; 1005507739; 763343322; 798558289; 1013650753; 989564243; 811023503; 581011383; 578159673; 826433972; 535449714; 887449364; 599743176; 755306840; 399358080; 186260352; 945477677; 104159556; 675938197; 1018768367; 210887278; 789214280; 173363627; 732740423; 70335738; 386529142; 307444794; 819521459; 1030972346; 416345796; 59461259; 506775707; 261276440; 659654580; 159351606; 766753457; 137832299; 864202228; 77581287; 796728976; 957630745; 176734196; 766645486; 837490121; 105675548; 927514056; 207044543; 262154160; 333803906; 960151720; 473754898; 413936829; 508386669; 644938335; 591096211; 292423440; 814559877; 36096997; 623560014; 283546346; 934877597; 27795575; 776640295; 311773916; 627425006; 1015976176; 123860706; 350103369; 117238491; 146393592; 1001079873; 348016603; 51376571; 1010614115; 941762945; 123363364; 370024021; 838252751; 821884201; 598883816; 739916606; 589424410; 89076590; 52851668; 798818103; 325377229; 9155917; 225274567; 254496335; 766290903; 540939270; 63075334; 969417125; 466791549; 607017274; 756337200; 986513722; 666061526; 93971713; 917511848; 482166175; 454828904; 1010168627; 619556879; 637340832; 1004377429; 860122824; 935281177; 87802376; 495568938; 507251467; 152216463; 513694942; 370699073; 939787976; 684405586; 694555498; 516510357; 101607416; 569908246; 312774344; 854506683; 393683710; 472868095; 798670754; 1043792476; 366313656; 369606494; 19717717; 752426373; 138089664; 1022437313; 935704225; 180380944; 684936065; 149247891; 390409955; 643962837; 1026378656; 230433905; 344741346; 979395082; 624974817; 472113574; 573935570; 942973448; 938339622; 632195861; 192571429; 910520398; 1045134450; 443259639; 149038917; 796393671; 726459346; 1009100629; 643387258; 282004843; 925908755; 544620604; 834569462; 612207774; 1038255801; 764007991; 1068066333; 478563944; 622555193; 990627155; 335833191; 822387254; 598332218; 849854894; 329964032; 510652955; 624101097; 332768973; 86119486; 1001387126; 234901995; 89221489; 485460393; 1022424704; 665491526; 648323099; 480950848; 185516811; 557491039; 755037182; 821683508; 739281372; 740015958; 540340068; 892008856; 146576824; 641104627; 947532161; 434019122; 397583911; 190679629; 580277024; 312733983; 595957898; 1029594214; 978800264; 892573034; 539851133; 914811876; 247343477; 107489102; 261434508; 732488418; 761821068; 847406322; 1063035098; 854622547; 388936128; 51997004; 924066421; 547278651; 885601776; 675986660; 679869798; 691111553; 138277635; 825596085; 727079730; 473044856; 376120588; 839060759; 34534441; 271936135; 218702082; 54122065; 833332506; 279656962; 976508780; 883782338; 820335447; 652179728; 324770306; 727192154; 112108099; 302826315; 1052131739; 139467466; 764609068; 672876405; 583894295; 922790911; 148826781; 838590387; 472827328; 777233472; 940780065; 589028909; 310249118; 432539977; 94594227; 520116963; 230678453; 819273915; 223857219; 479537161; 702811863; 396287129; 208359898; 244620667; 883865452; 949329878; 201885963; 695352578; 569812821; 291361468; 1001782071; 193483516; 345082874; 369339000; 802431583; 787458130; 66493446; 706291365; 337963852; 108785274; 500235717; 181977602; 1024253641; 380118585; 182869003; 970668671; 626481960; 219115988; 297368405; 1036060220; 221625432; 975333336; 475144408; 423972827; 392652224; 206766320; 153113433; 105407462; 220129030; 587671695; 706758188; 851121592; 342531471; 465453058; 631156907; 254326449; 542349744; 372750243; 781029914; 977567144; 883801987; 351283827; 729815191; 77951629; 256056618; 970712665; 424888914; 148623960; 839130400; 943338061; 884488619; 1020410519; 17756649; 978557184; 55053758; 53644147; 378027016; 216753859; 130870921; 1028064704; 172193518; 8719950; 467929575; 956209254; 805948335; 614455132; 442677242; 669343280; 532425524; 57334793; 674112554; 579828120; 148282515; 51928746; 18788895; 394416102; 630324847; 629295895; 322782901; 64190146; 636405287; 649628040; 606327810; 247121650; 462766924; 831059139; 869441683; 17417199; 591547435; 1002759233; 506251049; 301996096; 954312426; 85353834; 1050658607; 850606103; 1048379012; 392370026; 293393198; 839387142; 855348815; 939069838; 47069210; 653336269; 183045202; 304028276; 98217494; 617104656; 31177099; 557668447; 371887271; 762879264; 1015056958; 691647123; 77532034; 889414577; 641129644; 949436321; 390274119; 407005950; 378210441; 1052878229; 638807304; 117361531; 40657575; 184104338; 577350634; 116612860; 262903543; 862716611; 613224271; 205745949; 987936599; 16968093; 184027366; 612002623; 1033890220; 650255595; 1050329180; 115680707; 598126882; 290459414; 878708672; 29949794; 566586306; 1021944596; 706634022; 915065538; 179801427; 780792580; 836889017; 144003615; 147979531; 983769090; 170910289; 183006811; 828241193; 388774896; 1002857117; 566672667; 33076665; 583020548; 287185834; 1036212881; 702704064; 434305538; 660738169; 960633122; 684744250; 544923158; 440723076; 463804885; 97765635; 467790105; 196652138; 1003306870; 345251022; 357422331; 403234904; 606413905; 129929133; 246186146; 981024372; 503627752; 663999175; 798328338; 541742870; 104707304; 464305320; 346384688; 239032191; 767193581; 622481502; 741843398; 984851210; 220747985; 453530520; 1032353418; 45277943; 731115516; 162140885; 257509014; 735186074; 206003580; 119214863; 845994352; 61203785; 128353946; 718528687; 467467828; 492820246; 812377397; 736162775; 173996376; 234951239; 607815284; 366701653; 290539137; 295093142; 28421503; 148956253; 983398581; 943423605; 1038515259; 485013364; 700705729; 428712351; 994879217; 492803024; 839739411; 128966790; 231343102; 883163226; 868676269; 406935379; 17700901; 878528586; 617078792; 568292573; 231783929; 925050203; 512196357; 199224769; 1056204230; 657064055; 1021589073; 272712883; 733687981; 975563048; 88621335; 793604021; 999343063; 956187095; 727373594; 758463916; 1047017497; 966516638; 1056183160; 281819780; 647094806; 915275742; 632722089; 744487302; 23241976; 57822808; 748913928; 133794087; 122446582; 506343401; 323834746; 284895924; 58023646; 563308692; 967935006; 1032393594; 995867637; 787528849; 459303890; 317649566; 837991023; 633245911; 910195080; 713184063; 181336496; 90123499; 22583721; 8795998; 494604938; 173991977; 579008054; 737151217; 1072958029; 912983557; 203417766; 624376169; 842173986; 170035384; 567003243; 58844645; 16935359; 410428909; 228187174; 5808421; 171886313; 590926833; 664757292; 880520187; 823044508; 931647653; 567416850; 910524427; 175908579; 791365784; 602162221; 726355534; 269857684; 730375392; 664160247; 274354890; 315291063; 48593611; 412081788; 854881468; 23495232; 44761087; 183091221; 794003959; 215309072; 120476984; 231945219; 742030945; 575291673; 854043202; 333626092; 416779070; 700255644; 825348415; 443550190; 211134555; 248531875; 343699554; 573982399; 584386355; 141238493; 323525133; 273264319; 137888938; 472527296; 600973173; 65257864; 1063191998; 478052457; 630271190; 624026282; 1015412613; 966562371; 624954947; 225112772; 835594342; 15019956; 76245950; 446830719; 795639112; 346852708; 1053120720; 521942156; 999094407; 1036945203; 1059145861; 315820022; 790094341; 625841318; 765110301; 187377354; 890847652; 217778637; 747952788; 243755359; 712072870; 904016244; 881966362; 105578053; 465581055; 248150229; 912954131; 372054601; 798849072; 199400896; 114037604; 164237124; 51716015; 85003768; 949150315; 1002989228; 575116726; 1011541309; 1063664542; 473616022; 15941357; 72736964; 704778909; 323498334; 589812718; 191269792; 766138602; 698381097; 160526749; 300789943; 16224458; 795752943; 809621216; 555005672; 809385212; 564637573; 868278218; 87728791; 561926052; 26409927; 463941839; 191522060; 190985274; 29308209; 796011382; 123872055; 32471835; 577895837; 834260548; 13000824; 81204470; 871232385; 671906252; 812281621; 101634180; 479617167; 606737367; 283062930; 654181719; 14476445; 437345241; 901307041; 612629834; 726661146; 126092756; 23640456; 685981115; 849463691; 202939195; 458210188; 867768238; 948835234; 1064914211; 880714493; 122010397; 355292319; 46950876; 1064943099; 476565916; 895606244; 46724581; 69493324; 120876606; 810068212; 638936024; 164394401; 353837857; 932094244; 38806790; 215508085; 817174656; 806985841; 737273112; 321766003; 773890148; 479661300; 331272990; 786202169; 1020614221; 475243399; 232154738; 1047562288; 977873254; 886000037; 768556171; 1045407634; 600767574; 289684141; 281690303; 650625388; 422652764; 279064295; 878761051; 927004055; 870824509; 751263784; 368862756; 409859443; 609560292; 90791521; 725329105; 856975628; 552259222; 1048806967; 244602652; 995492497; 69099135; 985735989; 203068685; 292524782; 650618068; 721479413; 222852294; 511739738; 1023526699; 730523891; 434003661; 888829881; 233572027; 638200757; 934062212; 692620099; 415442184; 63310731; 46151508; 734834988; 831606404; 203989433; 651039636; 679979441; 645727253; 843489727; 969159431; 627380481; 1030614323; 854720010; 569815653; 88828838; 670550419; 955570138; 1515198; 113500638; 407072575; 325636999; 535595617; 873111660; 774018551; 403982999; 488375830; 410773625; 128884132; 668841205; 625106731; 536258290; 873417145; 21441007; 746400587; 307510930; 293641103; 839963606; 885886876; 730217006; 885774687; 709038365; 248799331; 811977224; 439723104; 970759119; 719413315; 777822266; 888378115; 1048372857; 836023643; 432890630; 983655975; 956531876; 332460013; 445633226; 791040080; 678860929; 989927680; 913466579; 971383514; 1009598480; 38628457; 497789927; 264282552; 450038515; 481406307; 918538968; 173061619; 698640247; 651424926; 992364362; 300774347; 63105113; 429384934; 96873389; 133609743; 275418622; 677041909; 859753789; 320030390; 502404222; 887221187; 859585841; 325353761; 1009221525; 348207947; 938519898; 590031002; 443175411; 175930311; 437282331; 872331537; 88370380; 401454595; 534153432; 744402163; 570194749; 1032809672; 690936729; 966435965; 598443069; 321411362; 189371265; 723640043; 508362925; 457984210; 1029507824; 488348203; 1013314185; 884403854; 361614019; 254487098; 333082786; 863864555; 998107237; 294222423; 1048363567; 139206181; 144752774; 820029440; 314041168; 118505523; 409638991; 658165738; 441941024; 1048402819; 963243533; 106848189; 724770762; 734730082; 928807569; 492076195; 152401066; 195585579; 934990508; 960139204; 688183441; 873692237; 890015685; 101717330; 440741830; 903584675; 290296598; 705900327; 1046507889; 922304952; 38037260; 26878334; 472038117; 245317171; 58696204; 838580171; 451889102; 619048477; 895810385; 20043821; 548604421; 873442123; 485485661; 325827468; 958672592; 317524256; 241841156; 576245537; 93767086; 748752168; 885231441; 861315946; 201964100; 585240189; 253640128; 986215362; 902805013; 239829916; 804573131; 917035426; 867070721; 976675731; 153669898; 885363357; 650845835; 123286822; 472015436; 217788095; 70880544; 128024149; 796684579; 551721017; 150484287; 1010725305; 460402370; 470928058; 931321334; 640928702; 529219473; 744936019; 1041744143; 133709660; 463722089; 848372936; 325070075; 348745991; 951204588; 73392754; 719836435; 622888522; 566481351; 153666279; 623994603; 291399389; 1974652; 564976125; 78260087; 159687030; 916431641; 945951450; 1071763889; 180809602; 216330329; 112741965; 411360203; 761348726; 839870233; 551296214; 575317660; 606770047; 382409176; 47363309; 480206960; 351578089; 1063521758; 645456079; 796692018; 30854072; 851862148; 153889979; 195414279; 22070534; 474382722; 623357353; 1009361817; 536218663; 849063052; 958246177; 359138605; 461782484; 2995080; 93061972; 157634026; 796297899; 784926084; 497764492; 396265783; 951306660; 463650278; 381109118; 258988055; 822050256; 871374200; 1006845569; 994157454; 362780284; 612484343; 284263153; 696003934; 675227362; 216102080; 106613646; 145861980; 1048346208; 144440523; 127457279; 639726820; 831183231; 158761841; 504986464; 480737664; 481672560; 993599726; 603388678; 1051021708; 659538681; 174665829; 982773675; 118920459; 1021917499; 615771207; 825076808; 216919343; 426891141; 240653480; 965308144; 487746519; 784265264; 288586902; 372319895; 550180066; 222496512; 843397553; 878615405; 984347548; 145215590; 860611743; 673951500; 737158737; 1061513611; 685959133; 397258613; 328864303; 972180446; 324726802; 725548225; 817896804; 242830004; 818887758; 454107830; 491883733; 149726067; 715455564; 197881989; 108272887; 800051819; 492348363; 420267315; 160726545; 985152261; 605825282; 877749616; 106476192; 44763939; 243001934; 825055921; 37311837; 648674068; 884123616; 168797088; 147835578; 5493781; 676357439; 29957038; 7076968; 834521969; 1017991360; 679648620; 528341615; 853254709; 553560930; 99652529; 959176834; 749426099; 514434246; 1044941697; 923367094; 854612056; 1059092446; 149989606; 267059554; 373852628; 575947844; 857264638; 814512016; 310940900; 234441630; 871183850; 1015302255; 826833186; 89861619; 994603532; 353541919; 773312959; 441731278; 773218664; 29221542; 702554622; 619814748; 871151868; 213605497; 839911992; 28498152; 897792747; 1033741166; 680792020; 144598035; 631826535; 494025263; 907930538; 631405153; 1039140706; 972058601; 31212901; 611923365; 667742726; 660481971; 604659933; 595961214; 659352038; 175845186; 420515822; 162520538; 682813573; 871809839; 1008406862; 921378382; 51802580; 903861346; 191815359; 961070238; 1042996227; 168861789; 578545346; 106788055; 202783735; 457757650; 808122521; 838350076; 631030511; 395422310; 770520441; 231540759; 934773997; 612918134; 290205228; 767674833; 982498437; 329870716; 475738607; 977009710; 74027428; 445754459; 995816160; 157516788; 339441654; 893786303; 783004262; 628268094; 213969501; 394298386; 723647531; 524050104; 1011153846; 142079314; 597915489; 736811230; 929465521; 1056153356; 250037793; 486207534; 437109643; 107550382; 101657784; 677499018; 833723439; 66613161; 496475065; 210294838; 953254050; 74832648; 87290495; 215966969; 964995946; 637232105; 277062385; 864527981; 1065247882; 993228097; 446070819; 446093972; 962222461; 64503806; 174827016; 890048320; 940171548; 461195899; 277307678; 209136320; 328966296; 122174646; 152110618; 565729003; 334711977; 956479898; 573220684; 558708725; 109063624; 274703420; 641111398; 756951326; 993656196; 29415840; 221030009; 84367613; 233048328; 768595418; 298772887; 944753219; 593489468; 40036802; 238743445; 781605431; 229728188; 45645052; 371712949; 962219054; 611185708; 1060919734; 1063075447; 332749672; 754866641; 830173852; 117794390; 646258908; 104190760; 827445502; 474167064; 1051999121; 398408744; 72452567; 494372235; 522546615; 573873196; 618184294; 462749376; 635818293; 249617467; 595724363; 879875234; 724848462; 427434501; 672675640; 791382671; 137449486; 529663107; 709564463; 504348888; 464547130; 219604540; 777979604; 1012970536; 14023382; 675303780; 548364660; 400025988; 1013662271; 681082556; 165031226; 910609468; 939271622; 711257149; 813690203; 574622335; 440209012; 26810836; 46598527; 294408290; 466705797; 249183937; 562118144; 663434759; 624737932; 370464885; 705453761; 382427399; 344225508; 64617084; 840000362; 765303200; 1053961652; 172416426; 1059007919; 508044483; 767537965; 889936837; 155616067; 929584942; 808302005; 48647241; 105472441; 592845249; 762329984; 157096823; 394755447; 630504564; 8035730; 303258010; 607547608; 688442935; 757240622; 941593386; 153117008; 1017120113; 208923036; 648064539; 513350457; 775236175; 732023014; 345005924; 696067105; 506897537; 1035320358; 167129746; 819852651; 597369980; 823132995; 133727293; 61857673; 176782373; 17893776; 195764480; 332815125; 44896852; 578863420; 248960858; 769339023; 638635678; 799239015; 636688753; 35038556; 637591183; 315338088; 548112623; 1057633892; 142122052; 225037432; 9810971; 48708913; 623248693; 413385752; 696498756; 896620339; 1294396; 208355429; 297357973; 1005822554; 317928323; 312784723; 832669729; 60985902; 299025986; 715938584; 772200447; 350280935; 1069845470; 630669819; 948175155; 921487230; 130256503; 1014866619; 786775190; 287565279; 447171681; 317641820; 134651626; 134726754; 805318661; 571757846; 600058315; 827472564; 61758781; 41287040; 1071674970; 709431544; 781417022; 398168284; 3764325; 351385336; 345742404; 455160419; 951831907; 39269706; 952781934; 931599102; 272631822; 601527446; 382568389; 247467261; 256758912; 719840825; 654135418; 747103446; 858140979; 570860223; 525301169; 238492347; 927684075; 345511698; 351350460; 972894953; 821060379; 997766254; 54136070; 496507913; 986783139; 747568934; 1057326950; 1009919008; 198950192; 700289438; 592585933; 778783309; 206236765; 797730961; 297144094; 91518887; 826268108; 504267124; 156489573; 809860905; 596701633; 554599192; 865812688; 450346460; 727848911; 848861059; 771957823; 762630; 42030080; 180024116; 869121357; 409430800; 911579936; 392856009; 246364778; 184632715; 72220867; 78162668; 1000856705; 96744943; 343109825; 530442844; 844301982; 817932536; 930162152; 893631224; 912126553; 628386597; 679553723; 819736126; 964332511; 577686163; 256902390; 210694046; 664599836; 13572864; 609498050; 950975752; 110685311; 625675153; 1006249805; 927053012; 455863601; 163240017; 97308233; 598553621; 1035979410; 440461916; 508318879; 1048678811; 514726340; 693960031; 185887411; 183376308; 447600749; 46903753; 34889467; 327197882; 1010279000; 517567379; 27858037; 1062729902; 303858549; 308090267; 521342544; 718661086; 432288497; 617438424; 150068123; 654964986; 827933288; 805298082; 389494005; 1063869127; 1036789118; 280072361; 537214857; 259770810; 229217338; 805349922; 861926867; 905376102; 471157043; 547017095; 864787900; 1001143275; 595147955; 1035586545; 285288112; 1068986053; 802807578; 765237189; 264336311; 1044853943; 304955966; 229932443; 547173151; 493381375; 264374144; 700559173; 8438762; 1011164505; 1041701186; 876282202; 984631105; 600425903; 596957134; 336869009; 458025833; 656503046; 871645454; 719454657; 488740242; 905385804; 583059490; 1041516103; 730838985; 968617255; 1023061719; 1066505860; 375506133; 698503040; 115088777; 60546711; 666277024; 90694330; 200782251; 343558104; 78967550; 1049198980; 43611318; 208985750; 453592728; 579109763; 1050814262; 237460427; 946074983; 34741349; 111333652; 751695388; 539273955; 796478629; 290009684; 921692223; 682337457; 542160905; 936493745; 420588467; 633304284; 1010156337; 468974450; 787791681; 1016670774; 941445328; 463524501; 633564829; 164583824; 301995062; 23121794; 110978108; 168730098; 805531617; 903229821; 571580595; 75443962; 947344756; 214442622; 3209331; 719409726; 74443123; 637736097; 438543773; 661937077; 152356621; 26531721; 64971119; 753796583; 772687647; 225432078; 22022900; 792892609; 77016304; 714151046; 373740500; 1041828637; 662141317; 156787825; 327879027; 484376464; 737428853; 448129091; 899335650; 495137679; 946284964; 464691344; 467192218; 735496867; 528487659; 608686607; 763298940; 657062550; 618383100; 1066118355; 1068284646; 848432457; 730904023; 1027233617; 264195545; 834371518; 840886241; 420786665; 575983431; 475362277; 144953498; 825763177; 864036093; 73712952; 266960837; 126583990; 525480080; 501157849; 362337394; 950045737; 523266927; 891881105; 325157600; 953410503; 578279356; 1029001595; 38120980; 854371868; 532732118; 375486648; 465292020; 332601620; 273272855; 507114492; 276713540; 643514267; 603587016; 181173048; 256939408; 1024107894; 358318617; 289981769; 974076269; 402461693; 713818042; 525854331; 551122542; 905609713; 667695507; 164703522; 438927598; 726404266; 217490080; 135132063; 876798764; 17948879; 440523744; 466353015; 15147212; 37358289; 511408589; 381405941; 156100802; 790613543; 566111221; 423784831; 834076235; 606911035; 485661588; 515828746; 1043882671; 89293530; 717619725; 422612429; 57073604; 23230301; 557537648; 769255477; 25377700; 827995004; 237887726; 880786645; 67632871; 1036135216; 601109602; 238571943; 6865067; 702876221; 857409530; 438550410; 364446243; 871462413; 619494079; 393190113; 538120522; 47164869; 289037287; 303562319; 422359480; 192644211; 179023822; 965153403; 12954729; 194678815; 566071305; 663195937; 142018764; 180484708; 148002631; 1016308703; 154457628; 1018688820; 117229002; 973825707; 60414506; 34186696; 272067151; 577837497; 693783421; 81131820; 106732211; 10690917; 496539549; 219568970; 1069032299; 788594580; 330723926; 509868634; 86023917; 267777493; 141520167; 74216369; 846395954; 811259624; 403669013; 326682748; 727189412; 499144351; 970241143; 25100853; 617332781; 914508363; 193444176; 576667577; 579659511; 858114786; 690009953; 191078590; 922706994; 671070890; 981914395; 311844973; 856426014; 356070154; 185872068; 912958317; 794618627; 328200489; 302726677; 254345541; 929050864; 517847148; 119123363; 718849299; 231512089; 432052880; 452936004; 856800359; 612244430; 560381558; 427815352; 616730121; 639945861; 449762295; 17429455; 697746280; 686811175; 431103653; 431095356; 453483700; 391508723; 189203694; 1049023205; 55375030; 411058024; 451568168; 857906394; 838473062; 982275254; 407368510; 1002311006; 271876473; 87301355; 525774162; 542766835; 744861861; 718107892; 47685964; 306650040; 758903831; 194131668; 249202752; 1002244340; 971537182; 206385613; 366527850; 998730562; 149544892; 315907214; 202098982; 747825386; 358880155; 413891708; 641740769; 684920714; 642131654; 57147804; 219731697; 429202869; 58050036; 855722354; 13186818; 557125275; 907975765; 885097188; 818494750; 355163576; 975698224; 269816656; 181473624; 786745384; 221502477; 599278142; 8574502; 475209213; 538460819; 379576095; 954241334; 727799887; 500630928; 1039529985; 685575659; 497174590; 299490662; 218592303; 220999137; 838039336; 939639116; 78867010; 460635160; 211505163; 797985973; 814926314; 494676460; 416598309; 135393108; 1043185344; 987356964; 156633488; 41444941; 892948468; 1046264468; 26727166; 587471519; 638310623; 362282210; 1034944547; 494939004; 993183441; 148927292; 30124384; 1064477240; 349448808; 10752478; 281540899; 434100253; 397603890; 692407320; 494711352; 898762707; 775166705; 741680139; 636705600; 270362491; 318658727; 58388108; 75922064; 813344840; 813917691; 562525935; 256989075; 575120060; 446601469; 931922934; 141229978; 199454813; 808011645; 535602257; 406975951; 486216928; 449076190; 717133530; 443409582; 1933892; 747880939; 32604773; 246355818; 402696982; 42224842; 46107764; 357587084; 967630877; 1034704402; 582524327; 938495146; 132284844; 30582267; 102727561; 583633601; 116959517; 364500166; 381479998; 967149657; 888184253; 268039932; 301332410; 248586416; 249478487; 42786319; 874349023; 431206656; 74671323; 112037694; 926465737; 1034553591; 678870781; 273387150; 984367018; 594161186; 826859443; 973842262; 267602582; 517930057; 70256185; 501165564; 752380271; 668947357; 135867429; 108742279; 437942721; 152402139; 745767651; 102224107; 564931866; 595170846; 479531118; 363401279; 392549509; 890623312; 883098035; 666798873; 382164868; 904994987; 374647186; 757827365; 357968328; 1042905072; 576049459; 910057586; 943908702; 261429895; 849121517; 507739786; 545685126; 1014991603; 938956422; 864004411; 48917603; 82795781; 530339052; 93045397; 633135378; 904405062; 920990857; 508929054; 365709181; 574381200; 53194160; 315625848; 37132910; 55595070; 245166258; 398602950; 198853542; 412625049; 496575813; 347929689; 444022480; 721864999; 335062086; 411162137; 273045308; 543147060; 481534222; 419636172; 82839285; 936395949; 1009101090; 755353611; 526088223; 631058441; 366949658; 125636639; 101436093; 196824222; 725534261; 292658776; 244412032; 840876601; 763862398; 111865321; 75020029; 986547863; 503735750; 482619838; 75367062; 468049229; 795094325; 103295405; 87022123; 880398702; 941590289; 388433082; 492849603; 269696628; 658884136; 940028431; 437613697; 973598977; 746924815; 239176527; 422858275; 625366358; 541026723; 514423535; 418304775; 1060869903; 771205843; 730055596; 431942639; 652704681; 804174061; 923551505; 476755323; 692371658; 146415330; 359401119; 633098640; 994598481; 13849931; 948814982; 170084943; 562739937; 267819808; 397623959; 520866238; 250065763; 992156996; 242254108; 650925233; 154071807; 882316227; 987852535; 854934075; 223512128; 76499756; 552230013; 229041205; 76108110; 472542838; 236879178; 25161964; 941944083; 827277925; 420399659; 317952806; 951570779; 830277764; 167171446; 864340534; 288444129; 374254720; 1049296383; 260400155; 339609443; 76776724; 17554438; 587001126; 629136201; 1039969625; 794374223; 115154741; 765219089; 431230276; 595547406; 490543779; 408393875; 100701747; 542646919; 549111428; 537923510; 592076480; 617239471; 502401329; 84059870; 137016624; 298123574; 835295025; 707113829; 670958086; 252505600; 1007590872; 935292103; 157225231; 655185412; 202818417; 189254593; 534369954; 1001144698; 274533936; 1065712664; 845706520; 970839841; 249826316; 726794054; 112431492; 571577965; 473667235; 822307073; 790586166; 430154163; 1023503403; 75070322; 230190267; 565682716; 267899037; 135156399; 842938853; 784861085; 214387882; 937165867; 233827329; 103083818; 251909169; 394366005; 1066772738; 372705736; 400810882; 891146876; 510488082; 367860297; 452723681; 448560853; 1038290206; 443048591; 313725597; 947162674; 85067120; 152985292; 520845017; 1052411550; 601477116; 638665478; 845361234; 671307405; 747555465; 708904377; 526658064; 649488483; 644354994; 874395880; 907267797; 465609748; 558885037; 358172274; 492151046; 842136617; 723914361; 668743577; 1047630617; 172009737; 790619971; 1039673638; 591373491; 789916962; 299344636; 396343921; 24357811; 143317987; 923842202; 291148167; 831136644; 126459781; 936882456; 821933277; 928489343; 658619384; 861850448; 1033487781; 1011475758; 425588908; 647749445; 20439929; 581248984; 718847132; 894598234; 717613345; 892140149; 456052228; 420137342; 482011544; 576129854; 1029574169; 613188341; 634998759; 754986486; 53358121; 586378711; 815264154; 37087259; 1016784993; 853181692; 829154950; 948935691; 895918130; 861580177; 245375427; 708221245; 687838755; 389649939; 319382865; 655007909; 575394606; 568945913; 666016031; 430370008; 1006143474; 177350815; 670953244; 37177912; 364897571; 438372249; 979605649; 293806257; 220005991; 982660321; 277770102; 526490231; 779075025; 542682929; 623213187; 762887418; 932267428; 387537602; 916574457; 616398723; 514176008; 307908597; 326978442; 904008851; 202564058; 542009763; 513220745; 604371117; 392779528; 755336683; 5729917; 176108221; 482205254; 70806245; 338716240; 875579639; 631779913; 421617380; 604211777; 596575618; 428753563; 670614524; 285780239; 561034969; 510097921; 845603835; 856455321; 185441068; 822097375; 685197937; 195379960; 525651460; 707649023; 461122787; 358278166; 767990197; 404837018; 612156344; 347022432; 1051842420; 781567691; 973029276; 28856914; 81735739; 831293958; 292404603; 28396026; 756956797; 174640135; 627005407; 975696386; 422686989; 131461691; 1021442924; 502057256; 76875594; 13110601; 922975899; 114100493; 433430132; 463686570; 1024030208; 406948668; 1013149785; 64431026; 164440906; 193511892; 790915693; 89992451; 94399164; 1037118869; 566843029; 804107444; 80715309; 623183096; 466605354; 807121629; 141871785; 605131000; 427881245; 809770128; 547232754; 668098752; 422251875; 333723899; 603744730; 755555531; 972513025; 676674617; 552685991; 272711853; 223745504; 48508988; 368183199; 389242947; 227329707; 1008474540; 399817415; 238280739; 53188082; 1064383429; 305861094; 736394950; 245463828; 960028621; 934649204; 898951928; 300079122; 407764578; 383230995; 777313321; 887075811; 21299997; 994447658; 51079103; 172129888; 460754968; 269913573; 933526990; 567781540; 926772986; 1067148445; 471013191; 930130661; 166050263; 2905262; 39013572; 52091184; 587702815; 272035978; 287365379; 70666444; 697506668; 856410731; 900657214; 998901755; 547506579; 500142206; 1060358159; 659786811; 873316517; 697126705; 391916638; 36446610; 350319388; 1011959240; 922333367; 952115749; 687111682; 1034218430; 499676474; 615930268; 815952271; 778541790; 594544378; 222524933; 676910950; 1034079197; 14335880; 574786991; 152247381; 619896219; 973148731; 340251358; 467917201; 510692296; 397087038; 72558596; 816388749; 28642386; 469134337; 140491608; 426175056; 245636703; 905219298; 527155057; 174872432; 996378932; 450718830; 313341313; 252260152; 948672808; 128851033; 192292042; 645949065; 757123701; 479898089; 170736386; 937292585; 271329272; 659304011; 238567402; 29771090; 116828644; 1065359628; 126650045; 1001795460; 306490657; 503764438; 743405992; 971003482; 890200710; 567054776; 770075263; 442671730; 26265655; 140035991; 22272609; 49611528; 403553617; 133329219; 265624997; 190987722; 337778825; 399775545; 600228197; 1051322080; 25005797; 395171962; 759939148; 441992391; 947941627; 491327403; 196068578; 21602476; 238803018; 379838764; 987666779; 108189790; 104229089; 990679140; 364002849; 576152971; 939725; 481419002; 655408629; 196419880; 593844974; 840865659; 856277089; 741117008; 4417153; 660130403; 838348955; 678363908; 34314106; 102308217; 602024857; 690537472; 782422149; 231623288; 10403258; 595393765; 479898198; 327308755; 431469816; 146442195; 346016949; 1071896426; 462267390; 608561574; 821964426; 397327181; 568747497; 197136613; 598245901; 678555975; 930769043; 267082889; 563321239; 527960962; 399503310; 633541598; 957086439; 848252777; 706555632; 487587415; 1040776338; 203766979; 626915443; 480480085; 1038879795; 213217492; 322865867; 718282094; 349537913; 834871063; 712992348; 818586551; 945134712; 1001431057; 90397119; 203912727; 930699769; 674625557; 733260212; 745947446; 5522067; 913512328; 31491240; 712508925; 729954121; 459525437; 100615679; 620281938; 2547196; 501805922; 266060204; 740796607; 241413984; 607736671; 663659147; 53000376; 1015750458; 1014889114; 54985660; 160705851; 371427679; 760253684; 170206576; 730690882; 682505390; 612336374; 344449435; 274977268; 914924384; 111173136; 715546813; 1072487444; 433706150; 77713793; 441693700; 980763439; 777400017; 537413953; 1029599333; 643976813; 824270744; 516023872; 301916688; 211901857; 779379207; 665074664; 404458882; 396875413; 664739883; 491621810; 983479609; 271470379; 1066257567; 22670962; 407190244; 627181871; 940191116; 717676332; 469879236; 528956047; 525328231; 209951774; 502723245; 212838876; 574438051; 873680327; 724426240; 558311765; 1014620604; 286409456; 744309661; 379094947; 251479956; 902510670; 840865983; 859929333; 770104315; 521356608; 118140669; 225176753; 295082547; 997247077; 1030142582; 806682040; 991866574; 663482947; 846601311; 918204831; 903223230; 915341550; 659510635; 381399663; 375750298; 520944321; 136818360; 533618704; 610231122; 126264754; 669473090; 704676520; 1056941793; 708746920; 206085664; 144315639; 694613286; 772258406; 736750790; 670214637; 87164188; 41686161; 978365091; 38114413; 556099450; 342177668; 970943120; 258262395; 934196291; 74352880; 562763194; 849312394; 590065638; 106349563; 835554312; 332767504; 255701593; 800862022; 169016193; 636949259; 617696791; 556662311; 748836777; 790387761; 1003681505; 708070031; 636273495; 496692599; 1028781380; 191440197; 500679655; 835087145; 307750640; 1006788693; 209249716; 260207675; 139402385; 989986999; 1053429479; 191890030; 641005975; 235733742; 887919617; 462825083; 654741864; 294620261; 452537382; 515178968; 860211338; 728024536; 21269951; 752104478; 732266780; 320164345; 370172069; 545014104; 211832050; 887738247; 74333096; 900371379; 324510588; 27835353; 732789250; 677342617; 1016573526; 615471133; 789814532; 382528908; 418516398; 288196069; 717285907; 776197497; 665786933; 796391701; 295057969; 790029115; 469705849; 607243883; 724264604; 323997356; 842153020; 917670189; 674407482; 56706546; 905793277; 454532605; 85235184; 411474498; 453028118; 342102489; 870761462; 487693592; 608750241; 821776228; 971247635; 686658863; 632321401; 294768253; 76647382; 805328906; 837065706; 648101936; 700001427; 839641224; 504524237; 321864592; 565512522; 566292829; 434378685; 773527158; 432560395; 611089999; 480374070; 878819995; 392135246; 384909755; 951278747; 681204022; 99215121; 657020316; 259649825; 548984739; 976816596; 744854945; 713266600; 51826182; 51414329; 865046750; 550688842; 702645294; 57729965; 875252904; 859775095; 450382723; 331158782; 362589339; 466816280; 104965991; 1014485455; 929711499; 640699040; 117392605; 1072616500; 19056641; 392946109; 464352873; 992600078; 802160478; 870695621; 218196143; 17918748; 1011700928; 666606078; 33241564; 602075904; 818602373; 356839892; 163923417; 274289584; 788101711; 366146982; 340297927; 1029209173; 293557860; 476656979; 633873078; 296816485; 48836629; 193334260; 214504262; 661918347; 124507323; 811176146; 397656174; 353250505; 393870925; 166272364; 373393449; 429330422; 781188072; 116215535; 344156414; 475053625; 627664486; 690680587; 170388350; 42305887; 538195143; 481231329; 565421082; 88391917; 494665048; 817693639; 88805995; 794285036; 42333083; 75622194; 388949402; 153150454; 82570993; 487846511; 917938336; 833134981; 247711146; 994678063; 946842243; 843617106; 745298989; 872557348; 515049481; 577085212; 212056482; 1064426204; 822093051; 360675160; 273951754; 91072025; 609129782; 427152408; 388699606; 822499484; 812249707; 897831089; 932584462; 504809103; 234860878; 448135639; 596095642; 744726310; 101955632; 1020663594; 746070660; 877922289; 215537350; 578537647; 85732962; 122624162; 54300950; 334031533; 721598765; 784974038; 948037386; 1015504508; 978518138; 863869073; 132376716; 37717969; 247015122; 221396959; 622342075; 255189215; 297263383; 988818497; 807760104; 48665722; 642176489; 63392371; 872812181; 616740647; 470951508; 465493976; 630973677; 796982673; 836932554; 124878271; 211182479; 1034181218; 428300420; 607304635; 362673154; 888201634; 715988360; 615326662; 929307650; 472609344; 203860356; 456498404; 119923215; 628836573; 1001948959; 515146354; 525605939; 560008002; 628414390; 910818548; 402157563; 791875955; 292904388; 577353831; 46725252; 435061504; 58912611; 859266424; 164653137; 401258333; 390742876; 268328006; 173785697; 814315062; 1069382118; 650450458; 489827470; 264747662; 718381409; 158881839; 990886283; 162271214; 796088695; 303134719; 518660440; 589381491; 570254075; 336151967; 34923870; 255388286; 324794146; 757945112; 730725601; 558041152; 137400847; 926296458; 753924120; 117352818; 259151670; 1057562948; 25437286; 1057875824; 908311530; 842310895; 523051246; 341555532; 49515200; 312342226; 639438283; 115284995; 308521788; 329613467; 1022102833; 349076388; 222941596; 385661034; 436868731; 809421411; 403717793; 667413475; 572217619; 849639079; 516504677; 364416125; 399218335; 487778010; 320155233; 341435122; 546747638; 727840216; 799704380; 315337434; 904462338; 437397945; 437032288; 1058138307; 892534747; 825745188; 581070926; 1986848; 823284825; 332443150; 992546892; 352314611; 237015107; 586072409; 357642819; 244693083; 747199522; 86167629; 125427167; 494012103; 740037455; 878336159; 47117841; 416608593; 545513874; 1024437974; 1049899787; 317136784; 951096894; 861739406; 364874523; 628673604; 264447204; 554426287; 375142169; 60623092; 78725278; 333938269; 649419295; 754901907; 263576091; 1031154934; 511202057; 850077717; 926093107; 835689059; 260110406; 358391464; 685142694; 105404248; 663207979; 438563027; 270904096; 712248931; 465973083; 474186803; 936982707; 546030946; 297173367; 988097325; 631193309; 166518413; 229348993; 624453694; 211141166; 256591140; 104196059; 91901744; 316729810; 331160551; 600947061; 108072318; 152409058; 886674910; 268103975; 627678388; 702827099; 573904651; 244825065; 560046753; 481523695; 975587198; 395666805; 640193691; 382626729; 401795566; 516487810; 876592917; 577111438; 883636231; 1018637704; 752208552; 658857958; 787404343; 878104825; 472932050; 389842311; 567166455; 483513951; 251257990; 668114928; 261878133; 763711940; 128264468; 693671041; 501248280; 63245563; 28416256; 811557441; 885322313; 488685954; 1010803954; 817978511; 860892821; 736934511; 226920207; 238135240; 954317548; 1056053019; 323411875; 956483430; 746571768; 361000164; 894970442; 919154773; 972511417; 75535661; 321430119; 1065676452; 359229613; 756002507; 261364117; 1020895457; 451367511; 101039845; 867408375; 82277804; 972508462; 449956137; 701460897; 824784691; 117578391; 953706991; 339264137; 331695083; 960324774; 1027865705; 323129818; 291854994; 451564715; 724432936; 784070003; 486345342; 322669369; 843333414; 954824801; 281857443; 937716250; 156007206; 199937356; 944510577; 10027165; 156038410; 920121074; 769054134; 364261999; 699024100; 315785105; 76707972; 647882836; 717038472; 965205511; 692471033; 624743070; 411666527; 108404259; 267732448; 229996977; 589474781; 560699370; 407388541; 607499552; 46437809; 48475325; 270039863; 839155202; 576849834; 277924083; 507668217; 274786822; 5436523; 415426229; 304833576; 1071317437; 378083820; 647809538; 362875086; 638824457; 401729858; 439476661; 514522255; 181655617; 380888603; 605142854; 718973951; 158025455; 25847463; 181100339; 1033108624; 157188089; 19407529; 806270889; 501791570; 1040969134; 330864720; 673039046; 709660108; 903956169; 951232695; 301137889; 521053026; 788589277; 206794002; 706233287; 35793872; 45947590; 465275455; 257090766; 406899492; 850111836; 993282077; 124939181; 640702025; 730261807; 259949399; 783340596; 15067206; 631857343; 361401843; 369138719; 634605325; 1037802084; 692089273; 357268980; 797934588; 986150876; 381312854; 698775900; 111791768; 149837625; 187254849; 865744969; 512634771; 119132103; 797666454; 593514575; 649098759; 607983936; 73725250; 985612355; 361242339; 496988310; 756591734; 204164066; 793433206; 157911305; 921953340; 512452544; 908193253; 843367357; 869626112; 593934657; 525355191; 479017122; 159023110; 625170204; 996999181; 579924662; 420589639; 344842904; 929494043; 453354046; 864040709; 286411013; 1059707112; 526396417; 92556674; 532360733; 945713076; 590963007; 301183743; 747274880; 476147397; 100465239; 643638289; 166450815; 555823679; 978876745; 257129571; 954514291; 687387382; 461328045; 326462807; 356173158; 649472304; 346101187; 536483768; 764159070; 533558965; 235838765; 840743770; 891604532; 176227165; 460284949; 14265175; 818289293; 79025342; 488659240; 203631213; 100311274; 875766824; 331188190; 696307085; 516297967; 26080278; 535913314; 17528215; 36576371; 286931224; 620018449; 142635670; 790995390; 571694427; 424255519; 1008515909; 450391016; 325806259; 840534538; 195728153; 195432173; 313953299; 518744665; 460787216; 1043688958; 1029700720; 772090184; 408489648; 616663151; 1020837193; 874718219; 403829830; 804459316; 889504744; 1003586020; 112347054; 120394355; 823796642; 269275725; 606038901; 819194925; 1033119050; 346383910; 273391752; 779622832; 745244368; 312977519; 128896389; 854458465; 1043951933; 760527389; 470991778; 737212624; 483944294; 461323306; 782386443; 160168092; 38851300; 529961641; 200584158; 223118179; 243843776; 936681316; 162166263; 722455822; 349885415; 303452347; 969253813; 223139499; 724655893; 135143926; 351532552; 28712021; 883062324; 636674644; 203636785; 21527166; 844006040; 113186906; 695390088; 348327793; 142872583; 95997392; 451691170; 798625944; 1053205275; 656345326; 770297311; 827985228; 522737114; 503683016; 919169918; 878863105; 550651569; 194914510; 254285815; 504612230; 229740945; 1006210158; 849106871; 81775124; 836830730; 850137205; 121355415; 381276516; 631729627; 932291605; 745977870; 269804397; 294865838; 299004894; 570775865; 428498685; 536745740; 52348836; 994004173; 932275616; 201192134; 513772536; 805759231; 55450971; 177575919; 137015614; 41574614; 684450090; 663050433; 199193064; 797984024; 438200184; 609930250; 722139365; 462547252; 936122718; 176836596; 901336371; 143464302; 141274618; 843716617; 316290558; 153968813; 831800728; 531930416; 575546470; 130857881; 142347293; 805090132; 511839647; 51393271; 262130001; 497131359; 29403770; 738711267; 277175995; 262456177; 312515654; 804762362; 318488235; 708571423; 644696725; 30060404; 403460384; 664385670; 489722486; 950776690; 806507680; 668115801; 781718106; 921971922; 526282054; 658104529; 521740845; 608140727; 654557779; 755746586; 264285497; 755564894; 592034124; 547200531; 1047102643; 656037137; 996708472; 1051919926; 461135266; 694135089; 777538315; 232230145; 659406892; 812312896; 1008202449; 169373933; 1029551155; 653562463; 341348761; 924223258; 350130259; 178512032; 436263129; 834801183; 744656501; 932302674; 879826702; 745260619; 978577565; 283103511; 969006927; 887093167; 792393544; 185534393; 505988724; 10006412; 98483983; 832423342; 454067785; 315724832; 1052619732; 428557840; 575756365; 986958780; 405380056; 898772693; 910132351; 311402300; 715687942; 833212952; 914310705; 29914794; 91908491; 972873216; 866359131; 155817953; 1036623037; 220170096; 225992416; 9521011; 668536103; 834908022; 940143751; 832835020; 636780327; 971711585; 898914084; 680478618; 333226316; 493461321; 520701543; 1012712496; 813158645; 893918477; 223819520; 978818350; 723181306; 388502081; 25671729; 365999199; 963544620; 890869485; 465207125; 1072360171; 1067167501; 789426631; 1025140347; 246181076; 965270184; 45755798; 915740048; 591744071; 738187253; 934609259; 514814898; 2878764; 387642529; 98328466; 126435786; 963941832; 403656706; 627647177; 153377621; 814301382; 176206204; 877684788; 11940177; 202684510; 26595268; 790859391; 796816747; 663874793; 971258388; 747914580; 918738705; 906043185; 512030702; 403535008; 687025961; 392070404; 1008584263; 584552784; 6773344; 794816815; 90284900; 159437411; 319323417; 453851117; 585152674; 806410648; 380921634; 221307387; 1057164405; 534204772; 946976797; 839850798; 728035541; 127657819; 388797988; 1018409661; 802538119; 868037752; 213703313; 55098220; 376972829; 784427175; 533027582; 1038670915; 669933519; 835637666; 124183594; 274010113; 548457707; 902641880; 373780017; 410984883; 185577832; 392628772; 982192471; 364286562; 534873076; 173874023; 638396875; 1045155876; 802402007; 498004473; 787285594; 488285761; 995017716; 699218667; 742142300; 313413961; 275167039; 122489651; 496157928; 63914426; 557111318; 768823942; 283482487; 981512844; 298103463; 270925371; 22500616; 480776410; 318694682; 192745552; 972382297; 967962827; 12879314; 707789456; 1061984201; 336129677; 213096471; 571169551; 608623667; 997955237; 23462446; 282080386; 650001080; 68508096; 859109087; 511506261; 49702314; 1024345233; 906099699; 930411009; 934488961; 873940994; 264609640; 1055904723; 938639544; 995688283; 625016279; 951773879; 1005223189; 749865947; 757434234; 422206093; 22331668; 80120928; 128433835; 297229421; 61558943; 914330232; 284753311; 768297031; 305439037; 539685258; 591128005; 30224387; 1025200618; 1011120978; 259570689; 278110343; 703657107; 471609603; 585487616; 841602358; 974449831; 787957064; 525359803; 370549581; 258638462; 389072412; 824033190; 178899021; 79562244; 489886885; 169541618; 711010507; 101582501; 316013033; 67128356; 803773322; 19745427; 461420956; 92187617; 966854033; 908771580; 369612814; 81368611; 713344572; 200147561; 571479549; 602682290; 249850962; 259746469; 990497389; 295273; 575325954; 149974335; 694431171; 257014343; 1003891818; 217707486; 862904392; 179732501; 842973573; 643447451; 606858933; 933409834; 619516264; 423922030; 341218088; 32036425; 1030140694; 392750358; 755569915; 959257360; 746890138; 769026382; 576383578; 881669736; 627032952; 441597898; 27617716; 354147638; 548352417; 160902308; 959373623; 764143832; 519963790; 1011090292; 1041337657; 643879549; 663466639; 191112970; 156472117; 215763901; 30479675; 82080080; 775630257; 48895382; 116526202; 143709410; 142877023; 295746246; 975283738; 957873241; 327509385; 538712171; 460537619; 170020096; 151286375; 772479197; 353318683; 700278148; 833342997; 124987706; 548421150; 233883424; 912415629; 118562816; 196496864; 212269035; 289519386; 238540666; 574425243; 226700417; 426399934; 214941212; 72740069; 638908675; 925384691; 431645140; 472444769; 81752851; 1022629521; 899144817; 728390722; 774711439; 187780703; 985734223; 731225042; 323747303; 946460725; 257657767; 1052722190; 696713714; 1039644458; 416274250; 76079107; 445134679; 253260679; 863912871; 669791915; 1005802779; 235694703; 124192004; 411181594; 458409633; 264242218; 389402977; 822664857; 118630375; 414122573; 273093694; 454913458; 809863914; 363770086; 282334060; 627697404; 711644323; 812449167; 469922688; 383363179; 952058997; 267587208; 492686122; 567103752; 1051645056; 696413835; 716314821; 808114081; 798999877; 898200848; 714990570; 841769824; 115243418; 606620367; 349220768; 713183697; 817720805; 935258198; 949588922; 958131708; 124993169; 812231277; 257175188; 19011172; 964013757; 831968498; 126439546; 44406093; 759194973; 867565371; 969676350; 259708378; 838203366; 29270449; 217725250; 992262120; 137414726; 18612454; 979175749; 62472398; 239163651; 836188762; 134938375; 193832394; 272746733; 655438556; 840414021; 762221024; 368773338; 113178542; 331389602; 611253997; 1006722957; 205840961; 789661201; 258345219; 184286794; 1067556020; 623874384; 711472949; 734308505; 353628322; 515844044; 916256107; 222437279; 677124502; 360582822; 959224377; 874269436; 893191652; 78587909; 761471481; 457841846; 458857106; 297267358; 719481449; 708888356; 710727635; 874503483; 379323274; 1068654828; 630706456; 998199158; 306265970; 547540659; 579153056; 367316078; 233647215; 741791475; 707719607; 1018208087; 417551040; 817910846; 489330972; 157512701; 606006620; 376151658; 344976802; 398019311; 147526007; 565381722; 925115968; 1067963991; 1072941534; 327549694; 666899268; 552479147; 71725375; 502732619; 883126756; 582591006; 43956690; 1041915426; 715548929; 739365769; 955438338; 798936794; 748868444; 514789602; 513484462; 975817182; 235678137; 897283570; 20021419; 839143000; 463636221; 74997721; 133345147; 70951939; 700857009; 1427027; 86640200; 266737389; 78922333; 742543539; 711569884; 710518630; 717555058; 850359842; 276881356; 194575334; 311611592; 549310384; 28831827; 102019060; 973519896; 592908361; 436538849; 913253299; 280107619; 259044488; 280697560; 641792317; 894351694; 718809412; 170198725; 187561543; 216495685; 568515762; 333381596; 803307318; 330208084; 456519677; 763140480; 65933882; 285092775; 1042782072; 492755655; 964720436; 589661068; 95390697; 869862110; 267179895; 509449389; 828315851; 411114144; 575881419; 48328489; 195188823; 775010243; 371247489; 401859799; 941522573; 1066358262; 879332055; 229465640; 8361858; 427414314; 750470851; 235374079; 712844131; 196345100; 465322914; 683427327; 808935430; 269654298; 657322968; 926013162; 147024289; 630501802; 41277081; 177702322; 377108325; 331419965; 737957964; 604211591; 1040151182; 941296572; 709476391; 837316485; 455885199; 512529158; 493263294; 358368985; 244331755; 426995612; 1048874772; 900535715; 254830492; 283689733; 1051928780; 707767055; 615498970; 193735442; 883629153; 532403708; 812724727; 201196806; 393534166; 1016231543; 76845962; 35032524; 612848976; 843753258; 782818261; 828166417; 498538225; 1006178691; 477354522; 179031226; 770308768; 945038317; 308326183; 704586551; 130744872; 585486376; 860479864; 803172997; 531558210; 689634761; 355692694; 183352403; 184346468; 121894646; 977337008; 355056156; 990137831; 1034723767; 456355875; 755580748; 454778331; 289205048; 583258388; 979172834; 654804697; 443995019; 295542433; 588486301; 86286843; 32128379; 860252579; 491018363; 845465939; 489475646; 640538340; 165534749; 432780620; 749805017; 826142888; 733251273; 504095490; 131950424; 913784975; 375314023; 639999619; 268507801; 293906344; 773090641; 288633098; 530503547; 1012913369; 299049184; 998525275; 181170327; 436113910; 477944924; 218077589; 644902783; 828255849; 749441215; 36658487; 275397531; 1015262247; 513014515; 812159468; 212888803; 119991066; 184845097; 839855969; 198084068; 862192189; 907733106; 931353600; 493936301; 49623868; 78809180; 567486493; 184367085; 750306127; 367462023; 569038766; 865180520; 506119824; 887552931; 371645504; 694504054; 2251901; 1005171136; 700187415; 40422681; 4943553; 800634806; 845647901; 470389218; 320120939; 188014533; 112709177; 730011524; 879244261; 29845114; 67273858; 1041624602; 292140418; 219605585; 760340715; 66328503; 539267931; 826426993; 944645216; 865372125; 703665398; 828168391; 143659552; 1057841328; 943711466; 286316312; 14537029; 631488476; 838190052; 369429998; 1057625294; 1029709307; 782840236; 714367389; 110357871; 771566338; 355014838; 963377866; 259434299; 951571155; 828413476; 976940481; 756612118; 57620647; 1054846356; 338907788; 783245907; 372671137; 1040562556; 864651584; 619888710; 853873706; 317348899; 153146164; 826915615; 655395921; 145688644; 677582099; 896841465; 935906220; 724673061; 862261500; 868105601; 963923753; 937520005; 400577202; 295212069; 1053453326; 997368481; 515898186; 824406877; 845577230; 372859034; 607234608; 32410332; 113917576; 122517096; 25748545; 51560056; 823146607; 874764283; 149928331; 667104997; 566558230; 966463170; 957626439; 284191723; 1063542121; 785802714; 823612027; 417303939; 390949714; 364242737; 524812497; 281535618; 766577286; 358017355; 812101928; 203647222; 323087253; 717869233; 845726417; 1000581925; 393562077; 210788703; 324852217; 766478710; 297712075; 335736357; 124481773; 574914085; 408661815; 538274489; 662184327; 295568975; 126425711; 691710079; 247169865; 799221259; 516767293; 1046573005; 673692485; 529305021; 511635733; 345287141; 142722808; 989356852; 689961257; 871590132; 946556932; 942051191; 35349028; 264702807; 828788659; 72030783; 225271127; 1014863941; 556154891; 675895783; 453467316; 746315699; 959846858; 196547667; 775227317; 1058515102; 1035152237; 497188848; 300806044; 275970614; 77893469; 955988820; 215928554; 345176651; 134464699; 308410112; 583554186; 628870703; 660713230; 198091801; 46879564; 700400832; 153433642; 977059908; 361085358; 447475716; 486129068; 404667437; 60248876; 864052146; 19836924; 1022283687; 426039780; 972319478; 1021012586; 546289709; 1037423897; 596763775; 699806890; 595584819; 52297657; 258706799; 767891425; 484350801; 501894531; 340786491; 575917744; 623364085; 641182428; 959131917; 451340385; 436999641; 112310257; 175016610; 406661003; 993544974; 260912802; 923933040; 25481771; 42932833; 791310037; 293269993; 550453478; 100383278; 286664658; 621193516; 941142439; 823818673; 634181736; 34327981; 1040314972; 633210598; 896844195; 443124414; 245913798; 569997531; 70077324; 527160048; 671185751; 208544302; 379363575; 49782709; 531495302; 738963624; 81291585; 912162055; 612175813; 360250118; 726475664; 305693985; 739302844; 237690832; 423745285; 959425366; 1024081956; 573364737; 630086335; 630247714; 636289200; 589572087; 275096198; 778725581; 491631373; 739564692; 324850540; 393519785; 23282807; 318391801; 109492785; 474166041; 468495045; 625851766; 1025874121; 152410662; 238253289; 146294914; 313046939; 30947448; 701573980; 435265; 271904146; 540923520; 559490018; 242235269; 837081173; 284662195; 705657766; 293411015; 473159330; 772838300; 222930023; 28545920; 1061701295; 519935219; 696677278; 64029778; 490565103; 301396704; 528076842; 308815733; 740967057; 756061851; 819667499; 882498693; 706782983; 292421694; 7451883; 611162712; 861144233; 904590233; 19276216; 599843450; 432232727; 62160997; 266565492; 784571934; 628926507; 981088558; 1000298279; 15581147; 230999323; 598908537; 1054838503; 916922338; 726470969; 235272870; 572730753; 295705555; 403631888; 201873402; 444499534; 718749595; 623769284; 516451453; 780841231; 812713087; 862199930; 914211126; 1018921007; 677245677; 814246303; 134209137; 767838413; 388645130; 543918705; 315287681; 491725179; 375676115; 220853925; 937284941; 177643740; 244384547; 292203409; 748028398; 654720307; 379515892; 814532428; 301096899; 977235309; 351606322; 499332195; 233800208; 1037860064; 429020832; 344208179; 87393698; 578878724; 302749373; 294593051; 103718492; 920549815; 169001468; 826499935; 1044626942; 812359408; 549528755; 162911100; 653743306; 727453349; 756832796; 793235217; 626884280; 857265828; 856521792; 679195607; 256653726; 520966655; 423876402; 858594255; 437488231; 1030277600; 950621632; 351483743; 578260391; 709917580; 343463690; 721722972; 323838172; 907134299; 593770255; 833831974; 710526171; 543911009; 748048799; 716127166; 466689920; 703234072; 975810811; 650966837; 207269421; 761079503; 58466250; 271803427; 1002726369; 57776590; 770410107; 48626863; 825569023; 629285364; 986328278; 555419807; 341524747; 491474329; 175934492; 163948541; 868606193; 178164046; 469817898; 139035946; 1031305290; 427205165; 453096381; 18475030; 19445132; 686967146; 657000996; 86486580; 861751343; 780748320; 713859795; 50319680; 567073041; 205573583; 568251256; 817896103; 341855471; 420395130; 568001364; 921401153; 325640838; 308022299; 348915763; 561228672; 414939591; 1011595995; 841944404; 932737520; 166053507; 232244365; 91917119; 952170208; 623816576; 422827312; 1009939142; 200704843; 520047529; 54059347; 597618297; 1066956443; 29273985; 1041536985; 220242295; 506781374; 673337142; 537097957; 737505765; 895341490; 608034937; 512568761; 246733407; 1013079292; 733317819; 664083481; 398079842; 176608676; 127863716; 518990907; 1068551301; 867425818; 229173018; 380023384; 246726461; 788004225; 635260589; 838666991; 134747428; 182668810; 683022974; 254924019; 584166202; 1051800331; 790790617; 341869859; 332138964; 145321714; 69715397; 894244674; 553609912; 409735186; 1037200496; 669238000; 711999519; 542053225; 1046501901; 1053722989; 994293288; 472709975; 685143653; 953558655; 498125295; 940274213; 1004889629; 331336855; 996895130; 118760895; 394464633; 477688141; 983868196; 306005784; 61897914; 798609574; 992644531; 749537207; 267224910; 138945431; 117443269; 242365504; 359170220; 621281752; 706078233; 86439533; 979049090; 750334944; 458485404; 153522402; 311705024; 89209852; 29080784; 388741195; 339577592; 449082873; 654289348; 131133991; 238409508; 538814694; 976327335; 169011765; 878438578; 689105698; 337429169; 263245929; 345308399; 145030931; 151838362; 447768322; 920470042; 800482716; 593524115; 986567725; 615705950; 778202185; 738223872; 991197816; 19151370; 815390870; 1065585648; 983089374; 433798019; 843022306; 702788258; 305113001; 698541689; 1064780219; 966626476; 45088814; 298384946; 118490000; 964200912; 967448896; 312572982; 328132346; 859942452; 763316063; 857673087; 489870619; 839770923; 724878910; 376782137; 958737023; 326919181; 899228509; 926925526; 88346434; 176151702; 2087440; 964859944; 585040916; 315497059; 510520217; 494459069; 859743747; 627430232; 753855265; 535600864; 133188544; 720814968; 505378598; 729560971; 137636128; 532544145; 338701701; 795434740; 1028894096; 358675528; 426040241; 508389907; 306070668; 94032400; 760422811; 497867925; 845254564; 813200238; 934897021; 140208096; 201591166; 239679504; 802015799; 163563521; 242173350; 271091000; 220298334; 489500075; 827663692; 899632498; 1034379675; 439093668; 183479134; 968797330; 532986925; 915016931; 432424982; 288259327; 751234899; 459668279; 809863315; 70152097; 992887561; 413264943; 24839290; 344461788; 453950624; 141848120; 876827937; 59565178; 984181172; 966141267; 909776370; 664488174; 1026849585; 715476122; 536823842; 42442147; 475740868; 589774700; 485158426; 492898600; 693750518; 301638558; 30440278; 280731070; 607834731; 864752010; 529418639; 314438424; 399585889; 817097010; 362406373; 392722070; 397778776; 1014227227; 429396694; 89844690; 708130100; 223817721; 135321208; 607043686; 368664437; 711891602; 305906724; 274557935; 123549420; 421055575; 332401099; 772117212; 888498893; 818948695; 627461043; 913134821; 458523945; 313680197; 713663361; 128662359; 978717773; 732142081; 174275305; 604934658; 836581464; 215349752; 988273189; 256312825; 63349609; 921998978; 89138921; 586256420; 576357898; 1036170565; 307174146; 1056358144; 19798319; 900995320; 834499754; 252337169; 732226720; 155594228; 552481765; 161638757; 623766356; 972664273; 170298779; 325338299; 434725352; 842824229; 1031721725; 749685737; 29929230; 292695640; 502128019; 818992678; 941765852; 244514593; 1065024962; 996855374; 924847527; 488318756; 229188821; 418523279; 487341162; 433473797; 996260593; 506032340; 949040872; 1033771070; 375837243; 749794059; 722876622; 425904585; 543309332; 283120637; 97997950; 257617351; 79221579; 311705170; 166920030; 707740060; 715883309; 647197395; 830277507; 613410494; 629432007; 165631593; 406993736; 456112496; 674829759; 87423828; 960589152; 1045481260; 679319860; 347818661; 194571298; 247987330; 975331176; 1028756688; 228410399; 181530782; 318471184; 632228970; 581198571; 749674349; 656184495; 424624356; 701330975; 470603853; 536677994; 930598367; 602697817; 217923821; 1043686945; 726926019; 882562403; 749156467; 645441821; 445363417; 455464665; 86774116; 20857154; 243324130; 727910796; 903412846; 793543800; 378173611; 767122090; 333841927; 283811850; 356110847; 948905710; 561102036; 87781069; 930472164; 75132848; 349342973; 952075228; 531771008; 713377873; 984648299; 817478627; 388553473; 463101505; 267699120; 800133177; 913026011; 598144444; 812269546; 110156332; 698189989; 738314515; 401929912; 34647636; 694279693; 1012493981; 678191717; 297555164; 798240279; 771666859; 421990681; 726743496; 132616080; 219752682; 1017850584; 256559214; 370702881; 349426706; 823417466; 574644787; 611085200; 729160426; 428478906; 164058328; 21587584; 380525166; 606964509; 486402864; 100679803; 184356099; 128993460; 192747944; 440825274; 363080117; 529204676; 158254614; 3470281; 933073045; 992272779; 144914696; 698879514; 671145502; 51177673; 983759168; 256584704; 931233041; 219494834; 563257113; 1057135254; 527165074; 745198164; 673828975; 640042217; 155171558; 622207153; 113240611; 972598860; 74819243; 169232437; 1007874577; 156696932; 916853800; 744551492; 1055291944; 762495134; 843978731; 517735155; 732166996; 669778758; 381996488; 22893735; 749172078; 659353714; 147287892; 226481556; 229866141; 996553687; 74094605; 997954693; 497807954; 109567954; 842199111; 403859961; 1055535860; 843039376; 650482628; 277910287; 228326879; 258325956; 876610815; 104136430; 793771012; 1022517426; 372878007; 1072179921; 589383455; 581091369; 294708369; 1001605365; 329441735; 392664765; 415008106; 1028289827; 128438783; 787633743; 680501028; 387785848; 458417177; 1012550677; 921373148; 419635038; 187743856; 350468852; 1039189308; 270975862; 811865191; 56631120; 848071354; 182538184; 206932796; 262661274; 1449120; 751969877; 789253806; 895799546; 622991664; 152547190; 153950613; 227817905; 106852898; 405085987; 829310839; 333655873; 812415979; 876804243; 559887726; 912816016; 761676236; 440097982; 1045684790; 443217483; 360380020; 89566185; 432108483; 43981272; 816258621; 79294370; 771137592; 80336694; 314018593; 942096595; 714535171; 106037299; 115572798; 714003945; 971598048; 865001915; 408326173; 620856520; 662595222; 42505482; 605442375; 127249398; 640394546; 45746236; 124493269; 342094247; 227731313; 998084515; 816233800; 221968838; 670506511; 550141779; 363375201; 290920302; 573450557; 900951; 628064897; 757347611; 586444255; 210338429; 831288672; 1000813206; 884548654; 1064839514; 962775613; 1040487003; 575126363; 963828234; 149790707; 298837094; 934600502; 134851345; 863745461; 193890750; 999537264; 409407753; 257942719; 722404793; 908657597; 858754904; 681785691; 239831581; 260898636; 251598937; 1052849861; 848389989; 257077674; 814738818; 229489111; 698218725; 1035817383; 88075326; 1041340596; 96544091; 408341747; 308732935; 680453102; 278097228; 296066798; 514145903; 87939375; 697903748; 269371192; 687741477; 661336104; 440641573; 461949744; 1067284725; 496213010; 846385461; 1030759305; 683575830; 514512858; 851229334; 448514042; 899863546; 889480069; 563351031; 548031842; 1032679065; 329649322; 149945628; 152223790; 699752725; 497088474; 646957048; 487227016; 798895203; 92686274; 650795805; 275046148; 872062778; 555238581; 59848979; 816464400; 135767482; 893832804; 1044677111; 369369603; 749154772; 755775890; 556687033; 76022896; 17667771; 1001448081; 901272187; 395904502; 494731279; 623621110; 676263131; 859590981; 653103774; 1063230948; 853526472; 1017645531; 303027295; 322227005; 656387234; 809046044; 258913886; 262651250; 42237326; 193702639; 807532843; 597948178; 447791389; 612907208; 698707565; 119776315; 583126009; 805155154; 671416605; 822510418; 1004368997; 883292283; 1037868156; 733154522; 387360965; 405147684; 362749881; 487892992; 851069771; 825155668; 622594622; 1057548767; 206446959; 485473301; 867536755; 409350045; 375571339; 765095658; 457137652; 720707770; 672870529; 202473095; 883762912; 964625264; 268460074; 486552513; 638001073; 872970007; 742372737; 985232242; 452931424; 216834484; 776434623; 715421797; 391801594; 567543037; 448147669; 871150053; 22171419; 368184500; 981162816; 509804512; 382534969; 846569782; 610567213; 755583843; 338160572; 702871810; 657841594; 1059038165; 1068345139; 133573357; 949763175; 430966394; 43900216; 302791758; 511554237; 784244384; 3518823; 364224175; 741248077; 871594554; 656892986; 26890385; 959579455; 437709853; 60332661; 178234170; 674660669; 698696275; 129700914; 808334963; 776274969; 148761698; 138507690; 627047570; 164098216; 379841425; 147366913; 101626158; 148380146; 991274164; 502344826; 277669241; 127187146; 915579785; 618440485; 405149337; 376468816; 927616702; 239420216; 879620241; 1050165172; 596928525; 317651008; 26877898; 550841968; 1024940644; 958603121; 898112320; 397238915; 1010140710; 177435238; 946934267; 878304813; 994035524; 452047345; 42752789; 196451146; 686115318; 272875592; 300039057; 273557661; 722748242; 984370233; 796872287; 359668045; 839135961; 863437981; 213429340; 542170967; 688206677; 616952551; 887919132; 521304086; 171584523; 427003709; 605921711; 253632356; 169624311; 788808983; 222669227; 587774319; 377400510; 536861619; 25389031; 99300654; 1069374770; 659357999; 168101879; 44360119; 66295181; 420087685; 395533036; 608202612; 233015990; 1048840519; 382677958; 71066049; 808969182; 648283372; 355643698; 125604617; 470712783; 596541242; 986527640; 355536119; 131280154; 579538911; 432473672; 484699238; 47602740; 646786656; 244541185; 85031436; 903398384; 268401412; 408863335; 861735714; 35406730; 780037115; 679961612; 313085958; 614885794; 24728139; 465117887; 674126330; 1008603799; 402034736; 24835592; 73556548; 1039666499; 962461087; 818923676; 691935522; 980344879; 303390839; 551759435; 220595286; 542330432; 760329184; 299264670; 953753158; 962740971; 542244458; 906936623; 441753087; 207511181; 855552502; 504320672; 136449621; 971216880; 855113523; 158490889; 1046152137; 1066350541; 350426279; 868583721; 907873830; 318908065; 3677586; 523007820; 462437873; 534551434; 466137410; 810819331; 668792379; 130011957; 956331396; 239247572; 844543503; 942771582; 423899977; 1011147576; 359762660; 911105388; 731895682; 877640289; 372871475; 472457577; 610111282; 622560049; 560077892; 954390154; 586771089; 662612129; 709865869; 960873780; 738198511; 405772478; 260033194; 686346383; 834554584; 470375639; 324435470; 272332379; 486282083; 419112251; 435940166; 146699538; 256324359; 269982337; 291754032; 410140647; 360526930; 128068134; 341849450; 155620713; 45024911; 918108116; 807695789; 225996349; 483016323; 816931954; 136832117; 936569335; 994687356; 187823899; 798964409; 221512; 1042799430; 317060145; 238562351; 1057434762; 579022788; 816331865; 356192662; 770908246; 45586066; 1018141739; 861790046; 350946482; 154317688; 503339096; 641409930; 788169583; 481042350; 398806557; 858408237; 1044725450; 364313885; 570583558; 899077452; 955531729; 466523652; 631218382; 81933354; 300320119; 1013861116; 202011089; 649047839; 918439844; 945497244; 1073264976; 447045994; 110805422; 346160175; 286484055; 896368820; 282267835; 646995995; 385106557; 476295087; 1023037117; 907150959; 1000412162; 720315669; 169069980; 102598152; 866512086; 339730736; 486135401; 1009038266; 753006947; 150353374; 624925151; 578601408; 1047893143; 1073449831; 662821816; 48969402; 568444123; 943938520; 748235869; 337079117; 314385008; 133459279; 74496368; 275750585; 944100808; 365521435; 588845102; 379947664; 212053591; 87252586; 563968200; 957482063; 589024623; 739725168; 553648466; 692665981; 349026342; 437475736; 413845977; 919626321; 549103886; 453632685; 811352515; 68748003; 534573811; 1048134008; 949875554; 476381212; 570491593; 776022218; 954151038; 829841080; 17808435; 598654347; 89697072; 949202030; 367432068; 446234742; 970063713; 372098227; 440358169; 1052579512; 339982922; 187938969; 590596060; 180604938; 801625794; 369522817; 806226154; 304980269; 848789316; 470638007; 245439336; 27696578; 642219962; 404362684; 883267124; 317127545; 104889625; 978251030; 760883453; 283927413; 72844621; 481642076; 338378850; 73278156; 430208515; 736410305; 270441363; 705812956; 5199189; 706228529; 1052217462; 758803691; 563731654; 30551260; 185671069; 619313814; 539319127; 1020947148; 819438161; 127286965; 989479966; 399649928; 337693140; 536719223; 448859877; 897191485; 454081937; 357297208; 554792497; 662504965; 87445471; 754557252; 483011997; 125835349; 392361996; 252638703; 915405566; 1023083183; 910845722; 204990414; 281536225; 747782331; 786073851; 523071738; 195817790; 1013629563; 512586622; 466852848; 38909146; 876191237; 389043498; 453424861; 552911698; 58760546; 374462208; 201553517; 480554630; 456708710; 947289793; 245120599; 1010175883; 1022451247; 1021758951; 35871927; 716191431; 502602927; 324707067; 707596083; 38685102; 605713497; 91658307; 919095671; 489000517; 387685014; 646513449; 587710224; 380448557; 630485377; 145122964; 1032035570; 847105484; 1000624103; 83801343; 596013581; 726274993; 897401371; 67464927; 869929445; 946472793; 417807393; 683376125; 322316314; 671500691; 242947080; 878023013; 919036985; 699031304; 391411422; 44133015; 42239596; 141007969; 696844868; 56064723; 749568270; 318452883; 615479690; 154979682; 371964747; 123950856; 6938693; 539315523; 144352847; 120505181; 40060339; 923655424; 328926214; 199898573; 906593722; 559984556; 699106206; 935927669; 527706987; 114296564; 803432255; 285998118; 790093806; 550734556; 1057105229; 134716100; 1035253918; 234409844; 1040766259; 259873172; 811584742; 576170554; 640887697; 418518258; 975910675; 142227013; 828922989; 1021452376; 28011818; 861679404; 625680668; 357129476; 250705755; 505235858; 1010987363; 607591940; 522603061; 878377707; 514457339; 599717219; 113540918; 85865089; 327648384; 309003998; 766213805; 765722494; 550617506; 356001976; 467918298; 933695995; 35699306; 900001076; 439858311; 1018565657; 36123420; 796699732; 1004341810; 1049383196; 98415043; 1047481783; 539030455; 912670095; 809378640; 841718872; 619233207; 997279981; 1017741637; 222157663; 628490414; 723967931; 363300820; 916201215; 54311718; 11566725; 551130313; 216719949; 332427110; 161927856; 413895737; 952727017; 47621959; 6480947; 729793856; 892421445; 501038912; 411718361; 363557563; 148852581; 406410163; 394127911; 879910322; 330755123; 98015024; 151460148; 235512540; 1042852336; 105057108; 1001663404; 1008612625; 79610790; 486608521; 717027650; 597525230; 377958121; 94581922; 321312895; 739416440; 908548464; 906937485; 1023890074; 780324369; 897565444; 747771168; 995093588; 131308798; 739579388; 836100320; 858766921; 769301434; 664721341; 832316904; 5858682; 817263611; 800902516; 405472657; 537082767; 963127057; 265784267; 366877419; 413873796; 3579818; 723382417; 168956224; 275897854; 751189743; 448230938; 140078604; 869638815; 91956561; 551752955; 561983863; 54744305; 338705786; 699738304; 7708980; 160149258; 498545963; 36177869; 994884309; 383287525; 146614244; 185567637; 841426447; 1053609979; 112717015; 894374391; 758490471; 708363293; 278869612; 74625195; 365596355; 103224219; 1053268628; 747138063; 913373533; 435700977; 145329897; 1067254323; 632201019; 82480068; 1052918312; 254186231; 597549346; 727282854; 923503966; 485096257; 675709167; 928124369; 810588683; 674451401; 272720541; 940512038; 212554881; 818433197; 496196393; 293350873; 24842091; 372367750; 643604376; 468783243; 959130700; 86991315; 54842446; 308363954; 240596581; 201892470; 536211442; 83961424; 523995584; 459160547; 497353755; 748643357; 135460222; 516576498; 884202732; 513375855; 924100596; 11647450; 504404098; 306194809; 461201420; 825867075; 224683525; 290686790; 797418983; 68599515; 236178054; 522601283; 687469529; 345501338; 1049828887; 684234236; 204512429; 386030455; 327883945; 366836508; 795845514; 792024877; 890274123; 214786033; 1045014939; 809934814; 1018813083; 956452063; 902917305; 788037172; 561281985; 306654267; 748891201; 807156664; 651684748; 236109315; 146783171; 384277294; 239828911; 574665835; 580265173; 328624739; 33613158; 1055681139; 382328100; 765089551; 744649281; 435516052; 526729216; 974355853; 667159789; 13592689; 999759191; 973269678; 614227267; 946841536; 848768339; 494145312; 293468765; 130425999; 708218805; 654049729; 1007018615; 318755041; 256806765; 105849182; 557917735; 882088551; 763327287; 775326824; 262295558; 30793181; 28137935; 979019097; 795064285; 797533563; 520048746; 949352204; 1033935579; 4150678; 411761281; 661226933; 485014196; 558100455; 771784684; 528829897; 232971933; 675962028; 967544430; 944712904; 795611195; 877604600; 996627028; 403999631; 489854085; 236387609; 12309238; 1000008603; 328538191; 372911205; 657967847; 700090025; 189738775; 321223556; 57430626; 816326178; 202801576; 895837916; 199421032; 491286445; 476164151; 491210192; 572589745; 246750105; 623982673; 597736401; 1038703945; 298967841; 11352322; 916579460; 708900102; 560396169; 612295458; 380193429; 618588975; 175045460; 347555800; 285587304; 668989071; 913210405; 273406541; 508484637; 242431092; 964494005; 151831043; 55453671; 848706564; 37308275; 124043987; 849820332; 833116635; 589022124; 383504443; 179437324; 907691876; 822584149; 884676411; 1019345778; 23685783; 742579639; 298072896; 140183062; 381946115; 994511306; 457716794; 105377689; 949550305; 311727128; 219316199; 765852517; 813649658; 391032727; 448088439; 724366718; 180431047; 1048512990; 652852364; 470051004; 50141294; 473464945; 644161366; 744186186; 383791777; 123652758; 1047631045; 238238427; 581840850; 1072566794; 136284849; 522549562; 463324280; 470241401; 488214252; 147466898; 854883745; 743224867; 443461499; 520398030; 660800671; 876484240; 257712623; 694865258; 197081701; 966418644; 759572614; 626942068; 835770732; 878931719; 479257134; 54573680; 772138986; 499473364; 823419074; 972390733; 227804116; 136601488; 1013681521; 748509221; 499098105; 621420833; 992317133; 137375696; 416242568; 189366197; 68179109; 890986419; 1026470749; 553027792; 866813839; 155612094; 76067887; 933270526; 641433551; 870627087; 371829785; 286251380; 673555808; 1045847323; 593949962; 901998418; 191332774; 348232572; 910354546; 801478721; 773640733; 1039327831; 939690013; 584833349; 467473171; 458352722; 876717410; 995254598; 829583452; 415960681; 1033184920; 964339261; 316474862; 940608323; 722545352; 156560506; 484184077; 123541340; 544189548; 914077895; 851042144; 362092869; 989258074; 764713851; 541258567; 247036455; 107134259; 693639; 460876484; 124633997; 771520776; 615743422; 284202431; 447601304; 639133168; 689967555; 200827523; 79872317; 618282704; 137147915; 507880491; 594216529; 585792073; 160596494; 238582250; 649659459; 429366589; 417965033; 353500901; 811328040; 16960633; 298444869; 604589306; 783547672; 574575135; 501115326; 292615526; 595689364; 888633139; 765091399; 619747163; 1012730820; 396870716; 151162079; 525483131; 644719656; 924996076; 904422235; 659619522; 503529571; 1057400100; 627920276; 1008458692; 463077462; 939115545; 807608896; 563883774; 818617548; 904318718; 979113769; 341921142; 540252596; 598881943; 801268919; 319372964; 1033167957; 977963972; 604026389; 478544864; 955097986; 1041079800; 1000604774; 991413396; 88770090; 365474020; 738246644; 620438042; 285788015; 498379380; 358030557; 277880442; 744741741; 616145416; 644846955; 610759039; 758900705; 947435575; 691039040; 338973946; 451587668; 809341903; 555955623; 116969388; 662225540; 884213730; 934056954; 302335796; 872830390; 933774919; 815895391; 766076335; 598256438; 602339883; 4367856; 396270743; 26586260; 567160005; 913318012; 352532408; 440899359; 209809472; 298638536; 190126861; 617747195; 177921760; 1035715872; 878128461; 1060288849; 940089564; 612297896; 201772893; 873264132; 388776262; 439111012; 1005743453; 694196188; 789652824; 905088047; 817379098; 951125150; 490900956; 913898339; 869953824; 577557048; 967349625; 506080830; 68655448; 658333434; 961560277; 879417002; 543874931; 622431670; 686976871; 1007540842; 927664; 608061207; 71072161; 150772223; 969539489; 826862166; 766670548; 213049245; 741698000; 913909977; 569259080; 1040586680; 865268861; 683277382; 821041090; 556059318; 392284908; 296720405; 734391858; 480090595; 319803037; 850308347; 767076553; 381362839; 494454021; 942158320; 706546030; 933200596; 731798616; 26635093; 360317379; 760835534; 728361343; 769942384; 867080515; 597682918; 824004005; 515468774; 649921957; 160371352; 223833386; 747841651; 1024845845; 771481337; 690737105; 6720737; 530120837; 212592320; 727745660; 158585802; 708974513; 104742553; 560514901; 397325816; 581464604; 86309307; 319583574; 263704302; 475254959; 388094733; 950562569; 83216974; 902605351; 159830872; 119864478; 912047590; 269992886; 640284212; 895821236; 506832511; 858070793; 180959356; 540527056; 410198296; 330548244; 344809241; 459782057; 383760697; 1037940139; 375946523; 465120320; 117770927; 418204201; 565144238; 716618530; 342429796; 354648040; 413020231; 322339443; 885301387; 987126690; 47560344; 869182257; 181606636; 735855855; 640845677; 197221869; 572905377; 796113421; 947032974; 248126105; 184116143; 704825498; 344743277; 217871357; 451700934; 17293474; 800511986; 533104084; 611591435; 88714891; 460484264; 795657723; 1034836095; 49569700; 46113704; 176311039; 969935165; 899227768; 713992643; 28653000; 56722523; 852376994; 858646337; 398703489; 819594371; 962582574; 885858457; 935903300; 470496011; 811321258; 690607789; 726701573; 567400270; 154979709; 535845019; 795304634; 873237570; 278834951; 370760616; 1048315956; 236414941; 779389863; 187203181; 634012799; 706040354; 942613597; 1014978728; 1060259771; 860627819; 1018610408; 225419154; 739143607; 254691641; 213244359; 206925299; 715547503; 268268711; 1052123847; 228209254; 360060866; 496558612; 890903053; 478466702; 1004845364; 424336124; 1039415608; 300545376; 297986278; 494234821; 264273712; 347434736; 329203965; 101565655; 835717656; 441648591; 1019286920; 625613543; 1001287500; 42870337; 70432442; 959481456; 861426690; 1038252616; 727207159; 218831705; 509551062; 358691945; 806288165; 196562312; 288168098; 659931233; 228787503; 59850180; 827504940; 1025781242; 31531648; 305546774; 106064060; 208074064; 599859615; 504466354; 636778581; 793290927; 347648118; 393907896; 713297871; 292689522; 893531318; 841651242; 328195680; 24527466; 28322005; 955269728; 911752786; 71888976; 207933017; 379453271; 91802573; 106636909; 78062553; 739072265; 300482790; 605647877; 378552723; 601553874; 21180357; 907356035; 581963092; 164678589; 732635074; 257606186; 882798423; 163996350; 747410561; 1010041003; 628549420; 486532442; 444996487; 791518066; 363829679; 582416187; 735132901; 348224858; 689400031; 459829311; 806788545; 719821018; 378065451; 514964630; 1044115044; 307278286; 1051945014; 279707753; 20345364; 565498718; 854888796; 310545521; 625304981; 745374384; 938186534; 897130340; 76996835; 922687576; 182396666; 46995307; 857265691; 922728438; 337787602; 660040122; 639224185; 89550329; 807141678; 90601795; 1022176450; 632173978; 665866328; 747686180; 420447108; 215897533; 224923024; 419139782; 811888402; 716269191; 668248521; 557128517; 638701985; 924613629; 735892077; 413255225; 342464584; 980298561; 821139683; 623187616; 950545147; 132383476; 395988447; 387328564; 375693193; 493894803; 575242294; 507387252; 779801610; 313285993; 1010642378; 209793826; 706096961; 429807097; 217128202; 596717461; 405284487; 1020120214; 954462829; 719574770; 753168772; 439596320; 35478914; 468030645; 765619663; 379337743; 798735030; 462242678; 567108118; 969926720; 149976049; 829223256; 899051262; 95554526; 945750952; 457441923; 897683778; 797201641; 545922652; 597435157; 538586449; 946772601; 727583558; 859157432; 183931314; 844436768; 656478499; 129462145; 753427906; 327402141; 130295454; 932195987; 16798106; 462504617; 109310449; 67270043; 553744182; 352326908; 115825527; 491676515; 964023066; 577532078; 906943430; 138017885; 27515318; 140738188; 774098410; 62336928; 375188182; 727657491; 808707158; 437721936; 148980726; 999640880; 231936614; 484514837; 341776592; 640980612; 855102637; 305296200; 301257624; 360878153; 367450; 51535930; 1024268333; 593323550; 293832038; 479297277; 962875103; 160885245; 50391934; 1039752743; 733933583; 331515019; 550999353; 187984588; 580439509; 634771612; 278186501; 398752908; 1030501262; 347053252; 527491187; 913571735; 506594850; 420401212; 192251928; 726801859; 779852677; 655676084; 295972484; 505968478; 740873621; 1007848870; 206149314; 311768708; 862949942; 728645911; 587415685; 998839004; 502427150; 506032434; 583065069; 485534333; 383922555; 558883793; 624468570; 352233082; 451080369; 123172029; 315455935; 626115422; 662153863; 987709573; 683693087; 905303543; 288004091; 909915690; 427989174; 513954463; 146367178; 772113706; 271779907; 717602998; 1008029058; 285245109; 916662760; 944819479; 570628804; 228635958; 935602061; 498201480; 79255801; 293787428; 981647331; 993549737; 811765836; 181257183; 725994332; 141784947; 609704346; 46855818; 615765454; 891971572; 252782803; 214425734; 437092984; 171631443; 663488186; 797031638; 674815111; 881918504; 185755823; 236838255; 951183117; 413373867; 151914035; 945323223; 373068954; 557880903; 377995469; 393850149; 757934580; 334725980; 417210491; 402403730; 548483475; 627712257; 726025853; 143881443; 1068169762; 612806759; 727316337; 175429601; 506999437; 209480549; 558447134; 614679146; 1062382558; 590939217; 501920205; 988588474; 85304418; 136196904; 787999787; 198136838; 4068989; 23539474; 729701286; 443209635; 230060634; 584377723; 830562440; 698661715; 253492753; 906686186; 553261255; 163219935; 228177048; 888679187; 505999300; 305752621; 1037681440; 949569206; 416077577; 546532607; 820780488; 337717645; 768188426; 991734204; 996673258; 290666232; 324183753; 947351490; 717234137; 956809296; 202919108; 206614323; 398347697; 553376245; 170498134; 141918573; 3101458; 310416445; 631739039; 11262392; 1031733536; 918218648; 882158373; 201551111; 797523364; 637043836; 534639801; 91965077; 758981284; 109170736; 659834788; 24993662; 247340890; 223874735; 671677673; 346248053; 654997016; 348647237; 841201336; 663478223; 259149796; 550224783; 925799819; 79839911; 743698953; 831735999; 123965808; 462624212; 856412623; 874370297; 475794417; 920158442; 372519149; 417724121; 408156711; 494763393; 655324673; 108515994; 639587923; 634450907; 894673888; 522436119; 362436799; 163684922; 441608663; 131026393; 153967000; 205384877; 427459698; 146176304; 346274924; 977130728; 42403970; 477186861; 269934110; 220800243; 280420426; 211577814; 301601967; 63831148; 431757197; 1058024079; 1039217469; 688076564; 576905709; 520010505; 840771308; 765274533; 560233817; 206090228; 656162556; 658597481; 895322712; 35563650; 698254410; 75941158; 818486976; 708023988; 196704476; 453519205; 105342297; 592432989; 13032221; 642549690; 140461352; 1055307474; 196714779; 895535443; 484240894; 866245255; 515158204; 359594217; 433953911; 251207484; 154566485; 602350388; 325400510; 707904350; 408895955; 281333130; 122149531; 174480637; 592779718; 1063147056; 39935665; 1037824254; 394688684; 213478766; 563243975; 1051409249; 257441889; 665820477; 710400281; 935991336; 518274695; 245358517; 744446464; 93955856; 36038242; 267413408; 310971593; 739732441; 83054724; 259475325; 396134049; 331308832; 940034963; 425267812; 1007163155; 798235384; 692210820; 1017711774; 656494431; 790706502; 808231004; 53106275; 93992509; 452474645; 463975682; 997985593; 749659813; 716292975; 616085724; 994042254; 336466776; 427492641; 856882062; 417613201; 213949884; 604366355; 461392729; 766748902; 465608401; 581807024; 934242115; 257605618; 708244548; 1005866712; 157833782; 814856716; 107726335; 409616335; 245767130; 164008280; 843083290; 47179352; 712847350; 1046236949; 634382745; 899035170; 745085291; 105628298; 867623023; 436087132; 624414188; 933808109; 481429789; 228784585; 602050829; 338394040; 181986551; 688034357; 494675181; 654240005; 155582869; 431993790; 823186145; 414983180; 1037926045; 113099963; 897051854; 878477742; 850294170; 206893212; 1041082613; 182290206; 688892301; 433385920; 348420499; 42028170; 640635865; 913715427; 136291748; 417069350; 197501721; 706381963; 1046292693; 286465966; 208407946; 993150743; 997755841; 954425392; 252159064; 392855020; 818083056; 858994498; 1013964960; 19826402; 161866437; 125222341; 1069967102; 464200699; 893045552; 802040699; 759227011; 810300188; 323459873; 904193417; 36831333; 934610283; 814378806; 211825227; 530610371; 162493982; 175489070; 880453266; 972165458; 588456951; 413805945; 752924442; 454557148; 287788608; 80771894; 162446525; 996260054; 399013475; 104403406; 573714614; 734882966; 904906186; 790567426; 665945460; 143665568; 1000702028; 175096212; 605852744; 815203838; 298391181; 142186255; 503087656; 1008017154; 562112551; 155138821; 324702331; 413533162; 602795117; 760154936; 145705958; 819929103; 947743385; 899406183; 26653862; 45976632; 675920905; 358722094; 705033697; 920115874; 456068816; 779198829; 350175264; 462226312; 960818709; 139652025; 32497498; 3936187; 225914786; 145887274; 425214555; 290807305; 1071549316; 704464466; 512705039; 115937668; 354639148; 804686485; 930857966; 1013395400; 423362660; 1000495030; 193687505; 433442319; 106221458; 18504755; 144197078; 285508731; 910422681; 897193514; 646235103; 803115007; 621360332; 688212496; 280061547; 618619650; 517364221; 653914646; 608328356; 191427078; 111748972; 382796082; 662315384; 329897561; 1007084146; 477703972; 331239348; 650336907; 924971465; 678856259; 295025667; 8796055; 906031335; 976277499; 209116673; 85596461; 454975072; 277731947; 165880359; 160553046; 460628461; 931571889; 180317207; 872307828; 175395036; 243161691; 189198777; 826531579; 753901747; 758475429; 217160119; 787064769; 441325034; 166102192; 1043864730; 682085481; 84461571; 632607822; 1022235301; 33539871; 715877720; 254126576; 791776535; 207468024; 652145430; 229318193; 129966800; 147783325; 112853886; 176933410; 785354612; 315213603; 363409341; 106560481; 734045889; 735940541; 262786948; 387717999; 1012243748; 614327212; 82752074; 688304318; 823784498; 976744789; 172809747; 346295213; 454052435; 991520492; 572089185; 600617532; 223997427; 758981133; 312001469; 572103601; 847201136; 649862402; 1054208448; 505106414; 778231000; 236125266; 303955118; 459256215; 951063722; 815736602; 300445323; 193797160; 458715448; 1056880740; 25757577; 1053719167; 558597038; 318330213; 111308830; 1034371703; 284334084; 728910770; 852768172; 869257795; 495999313; 40021262; 985029057; 966718482; 366899214; 923135901; 481540090; 453914835; 255083886; 499201796; 645916629; 359105811; 826285330; 5186034; 314755784; 414837888; 255507775; 1072450462; 778436467; 1050474766; 417646309; 961329147; 692821151; 206218980; 313425081; 88637586; 503318758; 33355171; 581699480; 837349873; 589931081; 536358799; 809366862; 129607857; 127210720; 492212321; 593789555; 757135517; 225193051; 900068440; 336251504; 172355860; 405784235; 307519132; 477086426; 796335535; 795034071; 1005629041; 910926077; 425151901; 1053289037; 347524144; 244552133; 73303688; 482805536; 863731379; 847353888; 196791867; 738972873; 943715969; 706560646; 793177265; 895043875; 489799549; 81948101; 734901706; 432651010; 431498537; 784982548; 921192376; 451966360; 243788253; 828199211; 477038319; 396857517; 7131450; 456204313; 175332025; 45981939; 345719685; 878301708; 377076974; 551900340; 673852122; 1008845319; 334727967; 228784538; 53946497; 352391305; 458861930; 591743873; 794264235; 189238205; 1051868030; 733103730; 807744184; 651378311; 965740435; 540423998; 231061732; 28596088; 858395960; 954913689; 271034817; 614464265; 720038706; 242241598; 45255198; 807240006; 886767803; 862506086; 138931609; 109214539; 127886533; 254644456; 71239223; 1037158818; 1053966895; 914188238; 828301505; 462820211; 788128646; 986417644; 90655589; 220359606; 127510243; 787725461; 244384012; 830792272; 509302218; 528676441; 497603546; 694221857; 129769630; 30666150; 1009895873; 949706379; 351661237; 350973882; 474526920; 109203149; 967715606; 879509079; 791714785; 451604758; 807806652; 373193113; 61650873; 176609975; 813179519; 994897972; 349099088; 828655435; 1057127889; 684078834; 692166864; 1038077169; 361293974; 345716582; 469334205; 179827388; 893086600; 700677937; 832167946; 323872377; 221169638; 466686809; 516465293; 100196775; 415391888; 611460697; 310207686; 512948104; 162120266; 243176063; 395101305; 55144059; 766152367; 262201506; 861636557; 96649414; 423676588; 722569388; 1069293295; 506289203; 271399522; 192948871; 363911227; 727765850; 649575166; 329674849; 642904449; 569935395; 61924819; 853227216; 972650899; 656175946; 147262706; 45964396; 169601495; 929320834; 961555223; 59119410; 1037402993; 464976895; 612001026; 97600430; 598869775; 779699476; 792379743; 46189372; 978980875; 1051098111; 414893384; 45169592; 109810274; 38329680; 857476715; 28679396; 730253121; 86437153; 603447483; 390083065; 574621952; 695771460; 1049421503; 683213651; 523513931; 663811676; 96435685; 757200951; 402437080; 836927079; 699102554; 325584185; 848698133; 949112225; 146257755; 903857870; 258260309; 360241807; 132171317; 492484374; 234288330; 178255165; 23797055; 99544991; 311711077; 149950916; 112541692; 740778458; 163083090; 61396811; 883790968; 450327085; 544587638; 754184110; 113442278; 912882846; 962153602; 863784106; 810042504; 444932380; 210118030; 257493271; 627517385; 120391253; 970804564; 68777648; 150303678; 140507063; 1028475592; 366267328; 497231062; 204869464; 438035418; 1038670797; 373666317; 875606284; 216255073; 261017761; 523454625; 49274839; 375367968; 327385531; 280250848; 852310291; 49724535; 756299659; 849304225; 14647943; 1020226968; 1012598872; 873733160; 620667327; 154340066; 575881669; 614315500; 973037281; 108126810; 304186351; 514604783; 900221818; 276821133; 515169877; 720224747; 480416952; 516634063; 126168388; 651728199; 670113901; 71153660; 123716135; 54239522; 912082408; 498055458; 42171702; 691781389; 967536498; 839082773; 934493857; 510990155; 24469963; 950705528; 127364196; 1030761789; 1030332102; 338523006; 478100399; 462995018; 21374690; 1038918049; 552015032; 639976918; 99466537; 79132255; 754237627; 956056093; 890015510; 878251812; 774466506; 989656968; 929395598; 729168891; 118086402; 928637256; 319951738; 944839059; 725680672; 93592402; 852601936; 204911228; 245479065; 616739629; 914341700; 1029372488; 881006799; 466621985; 904586987; 1038910256; 354233482; 728147053; 862724882; 618575511; 295622883; 352014880; 129261648; 736921459; 1073055287; 214469065; 688249043; 951129582; 344986486; 255609513; 557932375; 327586641; 46673909; 60623143; 771004481; 334635799; 891124469; 494805375; 891517462; 166327781; 696438438; 923857356; 468452163; 33992202; 1064069093; 665873670; 136102210; 909718035; 578929421; 183011045; 86967600; 769844224; 777732488; 689411606; 479677696; 219740002; 695321599; 884790061; 231901810; 1062232893; 443457796; 1068012360; 858605603; 891617354; 385205296; 195325331; 392002077; 144172931; 873086817; 1061547988; 289721656; 1021177865; 147941169; 640867109; 428099051; 773183989; 972761723; 150746162; 1054487613; 628155496; 997850341; 927631082; 610925425; 450450588; 124492349; 471546501; 603643757; 40408447; 804615935; 840670891; 806720646; 621433010; 127977183; 665724787; 187202944; 85956362; 58943267; 1032958056; 433199509; 419810937; 63602483; 774617652; 467935181; 640800367; 561766862; 446612935; 372391349; 362036050; 683478507; 711583742; 796041911; 283751407; 353910349; 884150932; 566646866; 210753609; 487209419; 330615240; 298601478; 890457246; 707795419; 609565292; 915845267; 765462543; 133376278; 592444636; 1046116112; 193432080; 61642400; 193495798; 922727190; 226526324; 597026525; 966651218; 824356662; 832593730; 31398110; 849218145; 409622616; 542514436; 572877770; 14190756; 959938148; 658632069; 754207570; 510278575; 533860909; 695442217; 322713797; 352859747; 17239178; 159088814; 974964798; 242383066; 203594951; 823544756; 999337804; 849559105; 457756291; 621947989; 672138156; 513344842; 819116569; 729223213; 342599131; 774752479; 608863473; 328368190; 418302817; 165231731; 245667309; 596323912; 545270228; 441241104; 191135204; 853950482; 730414510; 34785767; 602773977; 425665172; 549299437; 714229926; 947118039; 315048723; 234060667; 322745596; 649524832; 87315764; 37710080; 334697983; 104868563; 424064112; 614383862; 486766055; 593671521; 833202608; 787647046; 470686469; 950059272; 364124186; 954707357; 288789005; 1018831437; 590385234; 228463540; 618226026; 975765766; 928912866; 211040664; 961782029; 35194811; 291308083; 558492006; 149315202; 737712398; 717103747; 378054407; 1063693761; 709462132; 154681408; 1060313706; 873358362; 390328673; 118314856; 157593581; 788361786; 136676085; 601176790; 98260031; 702570903; 99839093; 1022101361; 742856242; 5826062; 592464130; 698333324; 954275104; 494579864; 1017480052; 1032167864; 13937598; 1071620251; 619358821; 667179046; 861016763; 916420165; 948801267; 59879131; 700844385; 535065946; 55205722; 314797936; 642429341; 513067883; 762677601; 782521479; 329360946; 202806440; 250562553; 966175234; 864867711; 416029565; 779435066; 317811834; 572523010; 804689054; 377223579; 873986724; 316267127; 242180485; 915312826; 733968260; 173289109; 1032884498; 345569760; 422624948; 782129219; 18615310; 838415013; 324881161; 105451652; 93093922; 95651665; 1006893056; 110074359; 464555580; 945877447; 916914308; 305966719; 927387755; 903540426; 524974226; 92488510; 787831620; 410540523; 599088631; 1038434261; 55106415; 310882871; 1003234842; 141786430; 714592604; 835328056; 339648545; 33229851; 1057519279; 1060019046; 236044440; 831382414; 531678580; 361412536; 548691214; 386703094; 4161846; 18837444; 520328209; 663959138; 374054257; 462300452; 787412134; 1070169992; 684818290; 189757846; 924568412; 984457367; 1055907399; 858601512; 11447272; 182099765; 1029381059; 817830632; 602056691; 526660766; 730888559; 35739244; 895825773; 210223173; 875605840; 776872756; 318297124; 813744114; 309748221; 688644600; 210102533; 1068769754; 636710588; 1062464708; 726944877; 206250653; 113295993; 685435167; 701026096; 974062716; 884103554; 176928341; 1041355543; 71554641; 526040548; 930813752; 393152046; 979904339; 956197918; 617339536; 394637705; 52707644; 471079843; 778227244; 100660897; 507359992; 138343118; 46309179; 789938170; 434009441; 683100990; 395365664; 1044668102; 366007733; 643723747; 890714003; 1070150853; 1031052727; 263842797; 143718582; 315170469; 582757806; 907620406; 239961998; 132611259; 413558367; 117685852; 802805266; 255297888; 2029811; 413185038; 811017112; 1066434853; 564502458; 985569311; 367675806; 795415440; 645850802; 458402100; 392692167; 933045846; 477192626; 333638921; 333956464; 509818703; 811992336; 985501362; 1017724687; 256271667; 804922271; 929904300; 544042061; 290903114; 75668402; 702181355; 528316181; 525043302; 481523630; 356119060; 150469705; 878143699; 941823931; 776594893; 214162627; 757439963; 81180861; 682023301; 723634688; 425713662; 140177047; 242209920; 126356207; 700670821; 1026948397; 915362092; 749338; 379930009; 677594472; 889097908; 1054446991; 373102733; 934992435; 273929149; 169060161; 791083116; 760628358; 83733175; 717131658; 602553080; 162715951; 190646442; 932102337; 248362741; 458330933; 63212013; 732764050; 819975458; 1443145; 722371703; 402110805; 382316275; 579444349; 623764749; 627051143; 407887436; 228978913; 89393048; 693022502; 267455979; 834414930; 786991361; 202009973; 224076184; 140907067; 811790474; 325288548; 330300384; 971019525; 605659066; 833483251; 700110666; 364236213; 91755773; 791890512; 922132659; 575063641; 969488244; 121291432; 133950006; 361863037; 554041370; 699292903; 1066681330; 872030446; 236046419; 643158578; 991842037; 713234637; 914217814; 323834022; 684572210; 671467369; 344777986; 158567576; 310901279; 1020690229; 689310868; 320540893; 497554204; 908841058; 931187806; 368401705; 286084966; 934927636; 682384046; 8195810; 674540818; 975704768; 246932309; 528353994; 369576642; 626094967; 317929490; 723567286; 540972951; 764967863; 779133475; 1026617510; 109658794; 416173604; 47500662; 841273076; 77822212; 240037769; 276733480; 19677296; 1007094541; 353687638; 529365127; 336858441; 314452917; 652909625; 258764036; 387214448; 111546728; 871032639; 738860052; 830585049; 1013602497; 209678500; 713795305; 925479831; 915562007; 952054259; 931025410; 99857720; 721089616; 1024879763; 377251278; 276567542; 469610768; 41146622; 256540294; 346977018; 724726233; 787371280; 752827151; 299228568; 127475724; 27388472; 804870233; 582844018; 617086910; 131886436; 511548990; 830833889; 653395680; 509511383; 671186962; 679299387; 912459610; 892217828; 243552514; 315981234; 287881022; 258812016; 1012054578; 538862668; 232047667; 743841294; 1005297751; 805732605; 56107748; 1039394211; 563106743; 98009891; 1039058272; 920092541; 1006864201; 52310442; 746688386; 812449310; 677231919; 1064928534; 421277330; 810436808; 274051857; 411219365; 572729598; 977379810; 132811334; 1036452477; 355203856; 703204340; 98759022; 474545165; 912421859; 927346926; 982125410; 697761443; 319165919; 506717656; 567814082; 301360989; 875632820; 377755479; 356634616; 618950868; 936055873; 872301912; 363478156; 766056564; 861007950; 324651124; 336069993; 1158549; 765248776; 266122728; 230217617; 56655862; 668144447; 255350982; 282783945; 32342581; 127246873; 891800255; 1000200379; 119093827; 987590158; 462259281; 475350708; 972000329; 723791803; 495883204; 984413898; 249911085; 205457765; 52782357; 81430998; 203370012; 62283564; 3809963; 784451547; 70403203; 582382735; 938957784; 123165318; 247395910; 104619370; 716984526; 294680826; 630120416; 694502315; 713111022; 448396598; 571154611; 98071915; 137177348; 117635213; 552089032; 297374931; 570040053; 284873247; 576934835; 395659929; 602269844; 654934932; 475242696; 1035685627; 377367812; 441191849; 372564418; 551389651; 197780209; 206165747; 114096276; 681037433; 124017473; 82523978; 384188879; 608491574; 444712364; 677397885; 1028313858; 936724910; 274725497; 565440068; 943635518; 1007032351; 320905065; 54298427; 849428786; 310152918; 898993736; 520256275; 756412116; 264047674; 610761330; 929919502; 818902497; 648223260; 508924276; 832850653; 344730900; 617395550; 251316664; 272644917; 14840811; 684480706; 256459670; 451194437; 362469548; 980195974; 321915612; 302364456; 230480099; 109377137; 826408585; 793863527; 651318516; 126298715; 760091922; 962422394; 785952590; 954589036; 296274044; 877784263; 224583880; 286972482; 605243236; 269489078; 1007618401; 507265252; 47668773; 330651044; 150138557; 1065953287; 15270647; 183151499; 247736609; 771891595; 314594812; 136607822; 783834414; 1041585025; 716146308; 307621802; 20543144; 1027391402; 1049939951; 1007153187; 614647473; 962272884; 248857419; 752055390; 621902325; 679448702; 208133972; 195125918; 1034196990; 92506928; 970080032; 713515353; 960916226; 327547035; 650244680; 858328164; 630732813; 789053227; 171017893; 31177663; 638228984; 815186217; 496202742; 1010046707; 614913589; 431159352; 673483928; 173591769; 733190262; 318712839; 517391350; 569986676; 171190865; 765773528; 370649887; 52867045; 959487438; 289390406; 513358512; 459272907; 61082805; 263270664; 402548394; 739084189; 780193993; 831466684; 902487859; 1062556101; 855568024; 281825898; 454821019; 28100101; 940552447; 76833558; 875003828; 115628820; 944950327; 98486931; 26525114; 394272254; 26483369; 504065043; 861278206; 465054436; 135407329; 159218571; 1044912546; 944681117; 585319561; 939035906; 170904624; 703459701; 849754814; 317861152; 151646655; 206077254; 1033185875; 421210944; 182092750; 536385770; 571502069; 406558089; 690792904; 222092655; 64713450; 785781746; 243170035; 438090856; 375269510; 693007099; 116079373; 917180464; 772664025; 773837203; 99926407; 661940032; 904807595; 287641292; 1040049647; 151637270; 352253366; 137288066; 266582144; 322038859; 649300070; 805425213; 886889961; 307046967; 590072736; 959105204; 265948430; 915060903; 711395611; 615140097; 1040982364; 677022230; 481884775; 392511053; 1067517112; 140869761; 343643977; 1072771202; 54406406; 956918589; 539269033; 1063001079; 861403190; 194934411; 65820055; 867503736; 279016400; 99983818; 134159297; 261523329; 880789313; 947651308; 287604486; 121792957; 720980433; 58563544; 642354712; 249860517; 821375543; 55947475; 631411662; 157471545; 699643550; 77922641; 407004518; 344940062; 229337113; 515644327; 449681956; 777941378; 891765226; 412058090; 699584629; 63306197; 727029961; 321867511; 150821651; 627009506; 209208590; 971072146; 672397000; 976919356; 896201577; 14028198; 204680875; 1038160432; 516324448; 608985012; 312099473; 736884800; 430748691; 393711839; 312846994; 991940421; 1038769453; 70894190; 903323762; 870181659; 683518272; 807397965; 170039541; 229157495; 1026243676; 139974881; 325076729; 214588993; 75089460; 1032797130; 25930754; 201831702; 434815581; 48956211; 754980611; 51897676; 881987346; 71334172; 907635423; 984990975; 101213835; 895113812; 842699824; 1063145803; 332347166; 442046803; 271544405; 446719594; 1062864616; 142322884; 236547956; 119715188; 23995673; 840023866; 1055570093; 1026240264; 146198514; 708995520; 704311279; 373581071; 713958382; 791723626; 76846462; 289018182; 377797213; 714177565; 55629684; 193109743; 625124618; 9800573; 461785832; 259210835; 855570688; 370908196; 783763191; 39609657; 353442469; 999538776; 837253532; 600956035; 159373639; 971353282; 94549182; 801593457; 254831325; 172562584; 102768256; 1056433088; 482698493; 158563953; 741147895; 175317052; 22419572; 421122483; 373848163; 251780050; 408917768; 20702375; 851678452; 48038035; 567563969; 539415660; 149976256; 107082354; 752154787; 825021052; 788687849; 71842809; 750252829; 245937942; 767790909; 187233391; 700052568; 567104988; 476682661; 207065552; 596322140; 397186394; 841461894; 382909510; 938591328; 296259539; 841178504; 791173112; 312168237; 1053498594; 91468143; 810770790; 224115259; 1018874729; 724434684; 18608681; 630274448; 298765495; 299651241; 98914945; 677162506; 183616123; 977209122; 715734562; 199121762; 660968724; 883560432; 766763895; 611976108; 746769413; 433901164; 307807263; 159350117; 172158072; 3757170; 688248437; 257203660; 43922617; 984300731; 237939015; 345025176; 773444945; 153234681; 363060047; 669905169; 158215544; 4594129; 779377080; 981834096; 802026911; 195138161; 508682109; 326004945; 381993096; 328412319; 226384900; 249314545; 993762885; 609342516; 25332958; 794871156; 563304740; 91235116; 125736870; 72917665; 901033173; 670688815; 639964438; 981465274; 952289526; 828772383; 299290196; 636423025; 106253945; 575390775; 1045744028; 277224880; 271692764; 1523293; 930930431; 479603950; 330160687; 665030830; 522536333; 382912342; 316686236; 496646882; 725322092; 1005184464; 62829111; 573642949; 386414490; 180409378; 168877691; 847600901; 705668763; 9325851; 996756095; 995000493; 837458310; 537022003; 981004674; 660579806; 917472258; 425173105; 98762412; 498572368; 125393687; 309772635; 856826385; 308620943; 494674051; 63713578; 1058279500; 486436618; 415796353; 179774605; 775836654; 980061144; 803923836; 272789658; 521854928; 461092468; 997580339; 383149558; 784537978; 385266977; 430436808; 373018566; 451910143; 799663288; 896017957; 643587283; 637329129; 216307049; 280512618; 209808691; 872418860; 1005192034; 141821271; 1043970476; 570614707; 980434783; 818154398; 103711661; 364321413; 781337097; 787330443; 724119451; 613831541; 384177150; 561031419; 244888220; 120380198; 1007897371; 406315935; 693279181; 969756144; 2778648; 1038495009; 851608711; 898609933; 842670844; 356672536; 1011279513; 634896266; 418591736; 393509626; 77133454; 891063950; 353540073; 586772306; 1004007800; 268420863; 827737963; 525418653; 1003197372; 167013443; 313171436; 591766385; 690981505; 881077893; 507543534; 991156091; 234263015; 931801158; 244013527; 932097109; 427608067; 866089422; 946746548; 748414198; 30304221; 334187750; 420241529; 287993038; 252051185; 948973103; 195346405; 764490183; 663446812; 118349009; 989825510; 957551675; 461851668; 132574083; 105197549; 383596936; 451153576; 1015695314; 633378313; 288164071; 668773887; 43895854; 630170958; 727934490; 380231174; 328121378; 230470875; 42231494; 906314987; 666019334; 806974916; 954959450; 1065824590; 126727316; 745614725; 38282485; 362501686; 1030309327; 89633262; 813732877; 543271232; 743214016; 927575524; 509658399; 849809338; 268756937; 257578226; 665894512; 520708745; 1032634897; 218946439; 905308183; 681993127; 291552372; 553870407; 504160894; 445092052; 666744462; 1012512110; 979874020; 394912719; 125868486; 1025293329; 816368045; 425301293; 525909030; 8106056; 892442094; 29135282; 337253828; 624057160; 996671947; 599932189; 1006175771; 256576092; 1031358710; 489168393; 1044116434; 984857137; 971304437; 91353955; 461660950; 950320142; 167650554; 672956388; 438598193; 633324256; 188865524; 167775971; 510863960; 691633286; 619363042; 266398565; 1028969218; 1046467287; 978006274; 654577336; 823389860; 296763203; 292653859; 89930682; 454595555; 1052134952; 541217656; 872594218; 587559598; 565689340; 817098330; 984405917; 966387966; 879036622; 188541713; 740255469; 448379080; 767278785; 611759012; 431100043; 700638286; 424896961; 663689532; 643076411; 829686626; 992513912; 1067734200; 1029654476; 118581231; 28452630; 738414022; 818529472; 965217316; 535902828; 223447113; 631553713; 55381655; 98675696; 260253182; 656740021; 141429141; 791918877; 182220338; 563403352; 40895781; 568647164; 952100267; 754523799; 486837763; 918576584; 738174633; 368649571; 305970006; 425192957; 57237327; 1065504471; 340651155; 142807018; 670315475; 510137443; 868354367; 608180921; 23789891; 786231848; 920174239; 867897486; 917155035; 550537370; 935354139; 607818977; 160742272; 607092147; 80097651; 690005682; 681635709; 730088524; 611390109; 941692135; 807439571; 23880522; 767763704; 166947212; 139874353; 909727755; 813941458; 917523813; 43983819; 127702260; 349448205; 1004812303; 218276953; 523061643; 997498546; 510410169; 600720298; 31456622; 830021220; 968299271; 403913155; 932166770; 45047647; 864220475; 277539541; 1004966339; 253816153; 837631667; 243581191; 1028946; 475848959; 654443213; 965393376; 109127219; 754351148; 496302572; 317964094; 971224021; 896573223; 834894758; 496599434; 733900105; 105810629; 253567454; 839265809; 444986665; 16603072; 263007572; 145381335; 569001093; 693356572; 771385792; 661129477; 331207505; 922051273; 540930223; 1057871006; 978799352; 655019535; 448436206; 229946615; 530099788; 167868821; 783561269; 738366762; 185367932; 595699495; 1034767287; 599043550; 220060691; 746334817; 99744386; 252789843; 236487748; 290142808; 14680104; 15661215; 1014021064; 242101597; 777009394; 178897946; 192380167; 561882330; 213659945; 547130601; 292058966; 161895690; 503134521; 299348700; 36586811; 868837041; 666457114; 513183853; 217908007; 613273657; 683111280; 767640673; 455841527; 489083373; 515150287; 943665767; 561909184; 628260915; 657922250; 101878553; 323652916; 828260203; 824976989; 772066654; 808133041; 138838086; 82058162; 227242618; 992063104; 844138200; 58141148; 1050649577; 131992168; 1040160286; 147598023; 975956857; 787472824; 676833738; 28110693; 618564377; 898250577; 834244970; 325032728; 227499996; 800699074; 315789611; 777804414; 478703609; 1003988139; 108431837; 85381250; 499438233; 739058776; 670594148; 696992810; 549560971; 574127305; 268508997; 381021717; 1002674292; 980098825; 458149847; 373454453; 85405979; 925440982; 914105248; 57099559; 12597586; 771671850; 6183632; 1031498289; 353528548; 669560134; 1049685096; 838851757; 687829270; 505391208; 598585393; 320399811; 999980085; 697372628; 906851303; 426418589; 9144979; 768363010; 81486006; 1060449553; 1043280414; 353356606; 735365061; 6369901; 459881898; 360507186; 864693328; 439477115; 402399819; 1025664955; 655037727; 487204523; 940611460; 875060771; 477596697; 880934278; 767542502; 503396391; 892458074; 637579148; 88623357; 610215428; 35761648; 693702329; 1050639210; 44913715; 59198747; 817751970; 493936447; 300630714; 497685133; 1026285191; 838300613; 410455116; 656831006; 18112701; 315937073; 487037612; 53764781; 100578501; 566279625; 252538525; 333528634; 275943943; 762497332; 392684985; 61765079; 564121660; 622638323; 79323942; 49692846; 557888778; 209338147; 555757921; 822091503; 490676888; 956084947; 667351493; 894828231; 266628892; 256906052; 109519345; 399568751; 444010037; 492962723; 999951995; 482528788; 631108946; 627418273; 220752641; 576866501; 252501779; 545666630; 409200839; 63997217; 189354721; 420736896; 539455509; 2262843; 204044304; 840219410; 119261241; 307464116; 622746907; 820979569; 449353027; 113080140; 673873442; 787607900; 58197958; 133029263; 192923229; 305734524; 68482562; 246456411; 929253290; 368837739; 724979858; 1068865213; 563888662; 863022161; 447057104; 727483223; 534799013; 378439427; 1057927020; 904582357; 700047421; 166544165; 92555223; 234919407; 588403187; 712787411; 590380967; 1059615218; 1035429205; 485601944; 880691073; 770861001; 628700211; 21348113; 738939553; 98368019; 404197105; 734569418; 572201878; 581497647; 522431548; 852651532; 748587956; 836405149; 657567279; 307212025; 608752060; 299204003; 945649913; 292778165; 872939293; 937048082; 621171193; 714948287; 181999233; 302985423; 1013143299; 172047008; 333870012; 598205481; 663731748; 652582561; 949630092; 518191729; 443868936; 368330161; 127570972; 160217391; 846324835; 63368158; 704140988; 92145049; 946687933; 177981919; 134911860; 288322999; 564418039; 792381041; 918893159; 303771194; 706158184; 881971356; 366979290; 1017020693; 909596207; 295492411; 45501391; 362807027; 527189183; 182385187; 717680603; 100245701; 294756849; 583760920; 332576669; 354342078; 1070217940; 239949777; 984268948; 1041897708; 630232902; 504236936; 86526242; 324563356; 229132568; 896243910; 679097447; 433187139; 960446320; 479979843; 991140932; 462733304; 427547232; 178196908; 779047808; 626874450; 581126485; 2123778; 40713093; 20373140; 59923901; 270005046; 857342071; 1027001249; 1069123197; 381660709; 414066666; 301927036; 518790952; 306436826; 772753019; 878550711; 1037100472; 553180146; 684044778; 790580516; 1055609121; 745339143; 478599570; 1066137727; 586178603; 6012966; 252041622; 1026839516; 259044999; 14353770; 883221206; 666586087; 160450091; 830574720; 628456887; 276527649; 260734771; 434681841; 828057925; 801395706; 290200892; 447780430; 77607322; 206862196; 551527542; 913793693; 407527023; 483030852; 650930510; 440977607; 488527010; 806353371; 1050270110; 817825092; 902436005; 320147535; 275741568; 368436635; 163226738; 883411543; 307474735; 394585185; 523101320; 570276242; 839079928; 444456260; 229867677; 974917348; 533520450; 192501943; 646255765; 89615770; 972135359; 69522412; 565733105; 217037750; 720882454; 544021029; 770454658; 1070409010; 256675371; 288732761; 789834372; 97933353; 120271457; 604791610; 581327443; 811358168; 718090869; 1061359568; 601377323; 226418127; 619103415; 543656035; 983981543; 855405024; 1003169109; 187127519; 185687742; 237135976; 883743503; 315623067; 992379873; 529586329; 606829147; 392135287; 751316049; 916411370; 564503406; 707755426; 754395461; 382319147; 170405304; 991474303; 453995827; 676778550; 277576744; 234593124; 991339272; 267239622; 931644402; 191297043; 565995747; 679193680; 55097478; 496237363; 775523906; 71146075; 401136078; 724058996; 948906365; 418053894; 744198636; 802042717; 764549274; 803228396; 912462028; 448996325; 823139084; 5605139; 356281163; 787292458; 749758557; 489226280; 130504370; 160417806; 335356620; 448839811; 998005542; 920503625; 914328639; 624809182; 467525210; 710729067; 445894323; 758365047; 449878292; 616570565; 952294357; 449963199; 644523345; 234799506; 347954015; 1047241395; 420667152; 406121020; 434013844; 684523203; 120077504; 294762643; 797399794; 300478931; 1030461784; 446363349; 1072650254; 874533028; 105274836; 897746130; 34419696; 175673066; 1040715725; 348479403; 493779415; 303818967; 724300432; 211075354; 531107329; 51036826; 886749419; 23422662; 918640305; 404608851; 703501911; 263085071; 645327365; 127455319; 600019796; 764060806; 644661217; 1063501684; 657869606; 600318133; 505178232; 970403285; 175810409; 659595488; 409219800; 968910296; 889157661; 75918966; 294479714; 481070087; 442364890; 467618829; 734367101; 981984723; 889528818; 654859376; 914236782; 157573391; 966233856; 475314415; 247694875; 276903719; 423902692; 240630594; 165258447; 336060137; 663097257; 939821025; 696738760; 311508488; 127325956; 777895898; 362409412; 969016309; 238693058; 55198537; 50202014; 635760333; 208553912; 413430580; 394674731; 681501281; 112156211; 156076597; 350056666; 485058988; 129383261; 799889684; 473984972; 467378068; 626076013; 397340459; 396876098; 786576951; 904671396; 908079384; 505583543; 118395582; 875823528; 503543398; 653400303; 324398279; 31692630; 129636728; 1051636453; 472249838; 998104763; 467825228; 722688479; 560596686; 1056263557; 851326585; 924479714; 570403222; 735324118; 415605251; 374004069; 545330314; 491903993; 1021001906; 824638478; 732202513; 429146794; 239581727; 1651950; 595694226; 69132777; 274138249; 780954341; 186753225; 959658560; 207572501; 820927909; 106112453; 377533666; 501082385; 743320281; 1034672042; 333941124; 121121923; 506167006; 83042729; 684726805; 495762464; 261671885; 1041554885; 505751147; 398159238; 755020364; 52556490; 154198352; 40734502; 332456046; 161878529; 1035642446; 825942520; 1049898633; 979757138; 44787446; 439865590; 945203815; 284403745; 441963182; 80900952; 652320616; 331174653; 1020138605; 633881067; 603858390; 302736554; 1026649560; 904893534; 833792067; 559718600; 201765881; 305126919; 480658252; 605064874; 849253260; 210352087; 267354231; 693161274; 390333060; 661991052; 590573707; 60945445; 1037212476; 520096026; 767202872; 570309825; 580808604; 747894567; 617361322; 81743785; 52317737; 315977723; 493489928; 544055728; 609456364; 433975211; 614879435; 418060208; 472342196; 968726715; 239125531; 864460840; 1072296573; 723271606; 446277250; 307462325; 868813569; 748351069; 143327216; 384651925; 158294073; 587308714; 96349337; 133266194; 380624319; 668330586; 885044638; 638010123; 347755591; 567071806; 317864739; 3090516; 355142768; 470339615; 46808470; 954239349; 515741371; 802712433; 634043527; 807090407; 260009661; 720150521; 276293712; 533741905; 730536339; 518705074; 843447925; 638264356; 619786912; 993956183; 850549463; 657628467; 24245103; 99497335; 351557550; 32392551; 110450746; 697038575; 198036714; 651996910; 212330670; 854176199; 653703301; 835889981; 724106528; 583134136; 239940737; 339352609; 949121884; 104898781; 116420013; 292466146; 557981159; 38009224; 265108655; 276700216; 783817719; 529929599; 807540055; 642503058; 873726197; 12337360; 821206592; 271602258; 87457080; 314692620; 605745227; 373564279; 577684978; 591189254; 319086621; 617046065; 749744158; 893424827; 658042499; 228529235; 166280014; 612561297; 868617874; 1007580440; 529449020; 861801312; 1050519080; 269436351; 177571089; 1034106061; 82737018; 590487492; 106357823; 258664340; 436894342; 447976291; 68048630; 263783613; 892654793; 1073116665; 480026751; 971796619; 385932364; 155167798; 648031372; 213788966; 761091410; 428855086; 17881949; 422515632; 672962860; 99798734; 435719705; 355109836; 901538580; 1015953547; 473651860; 84782178; 974645711; 785706354; 307461282; 950261346; 525174352; 249045752; 433646906; 372577531; 814917059; 928897141; 183657157; 477034878; 820061965; 211406127; 866046970; 664075484; 710949073; 24953321; 403963471; 51124826; 114170246; 56755407; 490424744; 357234204; 572269111; 298766284; 458579276; 513650472; 977538840; 854804697; 281387668; 418276938; 723944529; 337299790; 535612155; 284630569; 399391762; 116813102; 775816177; 26908933; 574977864; 45844948; 553843421; 549606595; 162525038; 1045569033; 808357429; 192137805; 112575232; 1058823629; 803205649; 505268980; 428920467; 850922509; 720930253; 748107453; 263057259; 522054904; 84867354; 76820819; 365079484; 881894384; 709871370; 230013540; 69199471; 172528856; 90194732; 449782701; 162678377; 1030727535; 372455382; 411003449; 228105414; 981797703; 433669853; 532118831; 340501542; 1055746713; 923645421; 483476574; 1009877812; 717414234; 447377128; 469116884; 741264940; 1049048312; 616349583; 1029169750; 1044048056; 643474973; 561047503; 230266761; 825817166; 399539424; 430474526; 911412049; 937331452; 428800863; 650838567; 11723986; 435652774; 938371098; 747018790; 45949701; 821743654; 282552408; 831189780; 361369041; 2953151; 609652273; 124327955; 639594977; 164906061; 838644042; 907507522; 885563647; 308525674; 893018503; 263597993; 515465753; 278771748; 9085845; 756101580; 1012546757; 43301874; 746419285; 412655155; 284859766; 395569488; 831078695; 844427337; 368411153; 638202692; 500496991; 812183977; 930031916; 204733628; 583354301; 862366433; 145022178; 520485747; 1020098912; 719052749; 792434594; 415584795; 143725380; 805233983; 40045375; 727001381; 584100990; 456191242; 386342039; 400938636; 766308397; 536357652; 746879756; 378469039; 804395831; 664468937; 34884282; 978905372; 929912601; 315329392; 344735115; 669452121; 950920486; 386817847; 986079201; 558173380; 510189903; 936888528; 104521349; 474319812; 985192641; 187132473; 634945513; 685890820; 580492333; 912790712; 279683594; 515808524; 282371804; 952074517; 121617896; 739234271; 457494966; 595895323; 898465055; 702442024; 1001729756; 1047560885; 962771349; 898014613; 612063850; 183635377; 1063598028; 568484500; 541822139; 639176721; 916771422; 515139193; 776337187; 152170296; 614443402; 992472191; 617067144; 1014274207; 907399604; 785144235; 542603384; 551933830; 1059449254; 767842122; 205487580; 533491080; 394064175; 923500432; 421265636; 493554103; 720654358; 662465124; 619230383; 774625391; 380728581; 706226631; 532080220; 141641321; 812399901; 350057456; 857203141; 104992159; 972885467; 997644290; 801806373; 402882417; 393705465; 787605649; 687077755; 874852340; 537612397; 317893577; 883563413; 968681813; 255806020; 830292827; 866679395; 853714615; 552004424; 751341685; 464498361; 750431575; 687700916; 417530095; 568741810; 476202969; 1071292135; 469661701; 512017762; 728907353; 610823460; 156171581; 329329885; 399110235; 605320866; 848689158; 806638866; 739764167; 353186923; 292844273; 720270348; 406784791; 512527117; 5122293; 125142514; 293006419; 861404721; 482849089; 184389999; 978467211; 357393197; 226696599; 891233443; 657190824; 1045784172; 941065743; 310668933; 972536321; 763266799; 513183702; 498481464; 489130069; 1001814507; 980389699; 466216389; 39319506; 155442492; 1049064812; 17816978; 253085596; 970024347; 517790646; 655921231; 947455485; 557057226; 11192338; 842356944; 614538082; 160909465; 911701721; 417445796; 57408685; 507353482; 771926112; 996335034; 367886589; 716908081; 158247059; 256589252; 699514139; 898372829; 110452430; 909758119; 681690647; 812029553; 194220824; 243529266; 22238367; 219898375; 511005144; 568697098; 193777198; 551941845; 1006620189; 334796085; 86768754; 903668167; 59657511; 916278894; 946719583; 989878736; 241903673; 406630165; 698068151; 1010647393; 265541950; 78284605; 706528143; 751345043; 715547300; 147950266; 502814516; 266243207; 329471744; 1000704928; 48273752; 1030363025; 24735016; 88053808; 901113159; 501215023; 715917278; 280166308; 692047342; 865001607; 301688114; 215811762; 256360184; 265195749; 607928043; 164638165; 386666109; 606827841; 499714976; 587978755; 349509160; 150097393; 163553641; 109161534; 913844411; 896324351; 851012056; 151055882; 164658850; 916298573; 400301525; 872074578; 210247329; 43096452; 860111654; 887470779; 918084477; 253145789; 770604111; 362048974; 17039142; 183517016; 284439590; 991290557; 148456502; 612419622; 28138154; 352838829; 454802568; 89497810; 1051599687; 1012372613; 874091829; 565686366; 96360150; 111496148; 424199499; 431961237; 547494980; 412712048; 174213705; 675706103; 812920558; 571151298; 515756183; 905270357; 242573077; 323551156; 408656831; 377049431; 731923485; 505216213; 1050207813; 1072080858; 578559249; 989583127; 383531652; 305788236; 835682506; 557336530; 237733707; 866236764; 999382676; 860336807; 501185135; 716889240; 800038879; 172459746; 890384536; 889086424; 453424787; 989850395; 59830304; 789688114; 1000733515; 141112443; 394477720; 1064017329; 472221531; 981373837; 504535662; 554342645; 834755843; 371601092; 278078336; 767120109; 222332824; 21489729; 169937249; 910575350; 104856828; 164194029; 274627410; 188293093; 260746110; 591344348; 263879414; 169063462; 960740684; 196652372; 482867521; 878756554; 4475450; 240562122; 772648861; 159073811; 1031258015; 1009540954; 480286345; 436983203; 59499036; 975366259; 38141744; 501935380; 157955820; 400513208; 888562060; 185771963; 607160868; 813066149; 629745690; 207253544; 779987017; 595449327; 925348213; 54863829; 979379669; 260335437; 471990054; 966599001; 357108213; 408407602; 108118304; 536607141; 269857171; 408013523; 287577700; 84350731; 419558846; 871565531; 1039031494; 82172968; 752762187; 1033211333; 52226063; 251969976; 932073977; 899064745; 722716394; 293138769; 554744293; 14542129; 290933103; 111036574; 264777612; 472431918; 642446190; 300834254; 646785994; 783205663; 71153694; 1022936283; 381255558; 861626733; 168893582; 137262696; 865425881; 889905993; 212181401; 1037154654; 230199857; 116653190; 89683468; 473087763; 39175758; 107237990; 648031891; 855800898; 28716237; 319191862; 155754305; 36809205; 224323012; 924376670; 453050074; 157514994; 517396614; 782227696; 277104381; 969372236; 61589122; 36642373; 122365493; 442803929; 1005134971; 82355182; 585815559; 621166651; 1023621061; 982110249; 383194721; 454988374; 776266186; 792829083; 72225790; 399314810; 737394351; 268894299; 852209869; 478931167; 230828287; 2424480; 167831669; 1037982412; 753914463; 816426199; 946457902; 758799261; 977189355; 249939316; 250817580; 988204403; 907697573; 114696667; 789723379; 427870534; 81084523; 483347336; 76486698; 753595859; 618661797; 419908232; 372322140; 484618431; 878249016; 676932173; 663443330; 647979840; 378755586; 722819735; 276672492; 32416716; 704038978; 494486866; 805192913; 295571024; 328890151; 127324971; 1058400539; 502170929; 108163137; 615241398; 613670521; 750977336; 352544215; 353091456; 921804516; 189280074; 170509366; 993912731; 180985185; 754323804; 617084711; 361358545; 936621410; 83947890; 209503844; 472510578; 781060914; 282906335; 5756954; 556319510; 57862779; 156530485; 527286769; 354770535; 163315589; 158232035; 847084854; 331147646; 558111195; 58541440; 818074646; 25199033; 806616328; 766531416; 672575165; 12842613; 267063720; 387752534; 114231539; 85858356; 281153687; 456968705; 328818189; 867598308; 111959453; 146391369; 991873368; 1047636522; 1069463876; 379320470; 1002843939; 522430005; 20087311; 174853741; 3337131; 323105020; 790829947; 771339133; 837163658; 979712623; 1035159037; 122880422; 1011661379; 298055681; 574438803; 453189562; 845927516; 104554152; 86643704; 825759564; 1041580366; 49849785; 131666042; 78376786; 614052810; 871422144; 715340702; 178180929; 32140830; 984074062; 133304223; 643260524; 714188230; 919041372; 140069414; 577793829; 386927069; 807231920; 590990295; 1061269147; 246340091; 906164035; 861428458; 392629910; 270999606; 920959993; 1051992003; 283681083; 128640959; 15016969; 956110786; 3663123; 733434801; 238947394; 939865707; 703644023; 835891899; 1047518604; 71687722; 106245122; 162995800; 142535510; 365297330; 387978791; 604012398; 809569555; 11136720; 876485934; 648099624; 382437672; 891899648; 539786643; 542400796; 640824584; 981119207; 624177088; 894995100; 450742873; 668888445; 247239107; 604162976; 963325597; 235161784; 565900605; 12184207; 162143095; 622217178; 493706598; 840235554; 764289888; 1010746109; 374996704; 1009181665; 749991079; 639973130; 357506424; 473114272; 961619495; 984874955; 1006222524; 197548130; 85662296; 281221413; 208116097; 23572001; 969398041; 1032056048; 139030540; 682767957; 1018935037; 985145031; 411826429; 509128571; 226240809; 808373720; 925793644; 221687805; 141319069; 560331807; 218954756; 1012356231; 681954874; 248197250; 633046447; 667412589; 784804009; 204352491; 922314953; 219932521; 284764196; 413475499; 840083693; 308093564; 179179352; 255519259; 902086496; 41328720; 724353773; 695571692; 509718932; 409239859; 811253519; 52572493; 544044948; 120553508; 123321144; 287580150; 352284324; 182160796; 11845638; 97787168; 111195142; 229659057; 198515594; 415260797; 937542639; 27076581; 707694913; 325739019; 673116901; 579111418; 991709403; 640246667; 49262035; 939879415; 479122076; 241814932; 795490811; 233132355; 506916623; 375072444; 956738481; 628329888; 154286308; 558790930; 297762184; 505661814; 506664409; 430307108; 710710211; 927561602; 432425486; 722963384; 634898165; 1023839934; 271941064; 922083730; 248818282; 271900294; 600179437; 559107439; 444031629; 337449970; 344047559; 118406897; 632842337; 379019600; 45519792; 214548064; 121349101; 747737848; 186318056; 967017877; 791149476; 1003996356; 952512187; 696491533; 537713592; 825509670; 10500779; 518933615; 38005622; 470021857; 687891862; 511032179; 763092382; 832748223; 129405165; 65146857; 541311347; 374621294; 323294880; 551874423; 361356347; 686863311; 11577683; 422861735; 943021789; 715817212; 842913157; 411465914; 499381725; 517128810; 59179338; 1021578692; 643383328; 679967581; 48121832; 1030321868; 230150976; 179972171; 257194256; 220286863; 918547229; 128845133; 182531615; 1008582423; 432940755; 393585186; 482431091; 700405123; 1004970594; 400693038; 38357027; 840301587; 1031459253; 521892945; 541901407; 532114736; 325171197; 578883715; 1072935732; 1015477754; 179709079; 652964686; 520802191; 602190621; 1019271712; 204010729; 406202489; 456044497; 279572414; 865224376; 100691555; 183870809; 888228962; 405896575; 437981531; 777041605; 862804559; 865405183; 123612025; 255213087; 728456965; 487245184; 329661777; 492157243; 666412227; 742108159; 635336183; 695578889; 130823080; 36367025; 488991456; 531675856; 96603150; 46869331; 542342039; 732511535; 591792817; 262359756; 867239820; 1036887865; 65130863; 580363786; 349418872; 305896359; 638681641; 1024085099; 275401803; 173031465; 894328336; 52411876; 394846044; 677957496; 404979060; 872040122; 918839703; 53681140; 149039018; 753160847; 337249900; 430768741; 1050981185; 96391170; 1035477885; 910267985; 149765655; 231569508; 567144128; 20750786; 244775029; 215573846; 511019232; 980488051; 870820263; 14432395; 928843920; 407168545; 139972867; 279170973; 745687196; 301117280; 837390268; 275287693; 884017717; 595001686; 131511473; 655808497; 990284792; 311411011; 737679661; 192672814; 1025910251; 530034423; 985408713; 526874879; 376393774; 901262990; 145334499; 613662021; 752339622; 118749423; 960051057; 354569019; 406225159; 753459610; 184609168; 25081043; 22720290; 574476225; 644735932; 154086896; 220405918; 247305598; 1058232428; 796830933; 225077799; 195499943; 552563827; 283163388; 240957349; 547497423; 381808676; 1014644483; 106067128; 207706986; 27937353; 620924689; 329942447; 654502043; 651248412; 930351674; 478158379; 322119723; 700503424; 268134499; 1035992235; 379799859; 283507049; 258481728; 380189473; 575177885; 236852629; 1040761046; 961267729; 180425057; 624249676; 276937583; 943773099; 989812180; 930534807; 710115736; 630508405; 937419264; 425267908; 265035028; 966470837; 313825814; 290436118; 880233014; 859435391; 447968476; 430199298; 421032285; 453775431; 109736706; 94634059; 54831582; 952972555; 941214567; 1053276146; 592373663; 66276806; 890629050; 683818422; 354407566; 748662917; 717416391; 905661027; 255524191; 624754459; 182772569; 1070703414; 89040162; 815085246; 516872620; 244725060; 440817155; 215119944; 623148429; 554617270; 292623663; 395096050; 786552189; 902262444; 118646395; 831742272; 666231352; 377999408; 220128789; 193707088; 450418867; 357041314; 580345397; 400804921; 83277935; 837201917; 47799833; 491522897; 608759150; 889373047; 23601562; 61527520; 697416010; 849030559; 228742256; 1047632099; 457074803; 163642068; 372313793; 708203233; 194118760; 830915275; 642241979; 1019092251; 310718593; 567768737; 1069529259; 672912565; 418892290; 379270143; 290761305; 924046039; 130458824; 590116023; 859240136; 550643677; 602738787; 107654398; 955385322; 231491469; 214633019; 337278785; 543032207; 498581962; 605934938; 1055241299; 712599991; 533511729; 919505063; 490886311; 513243729; 652144520; 84588639; 301582131; 75661443; 303871427; 42640069; 731475138; 185472268; 628126782; 167766453; 261292979; 31241900; 799083016; 227427634; 107195007; 593388962; 19947176; 266417997; 147569501; 65833689; 109214616; 756183469; 774140525; 731034661; 670935274; 263993112; 639907537; 630265455; 870481549; 1057366405; 741722079; 936075591; 419580599; 859549563; 266741113; 316503225; 724467625; 708608774; 89408247; 626406593; 606531946; 82150722; 503551976; 25429232; 641566189; 767102878; 142812651; 114316521; 457363819; 725136378; 240478321; 953224076; 22699070; 225195400; 1017186567; 681978351; 478324777; 1056706984; 618333171; 651902423; 500285736; 699677639; 232393352; 586886505; 680394713; 325185510; 13887265; 311353785; 284062358; 652785518; 810246974; 442307680; 705989790; 755454283; 605230707; 183242174; 104108410; 686542857; 103888393; 563322698; 801663081; 140386611; 694144510; 607145668; 222855738; 1006587875; 1039923711; 940344977; 847755247; 669949536; 783859782; 661956791; 97892701; 64032276; 1022460369; 487161113; 535067172; 912527684; 372914597; 99866758; 582494241; 3931596; 615503374; 275192691; 670576667; 691219260; 403522273; 938864314; 393131547; 403878177; 493039166; 585433477; 161726103; 779154205; 715797792; 557701554; 586720866; 291599347; 948977170; 725586853; 314889229; 924420760; 601131894; 326401876; 31487304; 544842705; 927185720; 947643869; 1016853262; 511997377; 515905155; 437673507; 413490575; 539582880; 931347721; 605424843; 153750842; 937834983; 906533828; 628305463; 482208613; 754231802; 959919463; 631669514; 558822594; 364607968; 28421993; 861343784; 538885086; 184229190; 240259257; 323459394; 276309381; 723662224; 321242516; 1040900508; 69915392; 875713772; 155450852; 75231036; 712657841; 83291903; 934918237; 692660694; 970014324; 879115414; 391475671; 981475342; 406305542; 669750416; 428678151; 841455037; 65644971; 130394994; 275288004; 807118991; 890275363; 648943015; 642967208; 258366226; 141132910; 98236418; 49989041; 963421536; 294743993; 1069402768; 372562084; 909447799; 951340344; 1006843834; 857089871; 189016908; 77854072; 126020437; 1050042208; 901435106; 684889089; 700812030; 18398405; 231709673; 20716026; 882343697; 781862719; 76436905; 210798014; 316767242; 843215342; 718464814; 569321710; 898802702; 496675227; 122287309; 575189419; 122733421; 46447838; 250910843; 841997376; 272343441; 775710087; 493602902; 758779388; 784890430; 17768532; 891172239; 777671430; 252392254; 115980539; 977002911; 735492533; 438590963; 357864991; 601454637; 291835499; 391423107; 24684185; 57949348; 66856254; 421130425; 143297984; 184871063; 468598608; 577198617; 108447677; 368675209; 908172197; 285071356; 1061679960; 217740807; 105893030; 967315801; 774143080; 63935386; 942696818; 727555037; 426155594; 106722783; 846199586; 111486225; 151309355; 1012349771; 679230291; 926706199; 297630781; 850951429; 826309425; 154055269; 118968294; 983856054; 570881183; 414108883; 527174889; 991724407; 847310158; 782692232; 693720938; 337668423; 475638853; 10208935; 986097178; 792087411; 261716514; 239577090; 184636435; 1001890601; 1070920179; 447869766; 1066115767; 468860025; 756185039; 143915314; 281402255; 577257958; 726638820; 318025935; 688929357; 1046169990; 833809859; 231683136; 366042160; 589370916; 1028761401; 97762238; 622129564; 762003657; 583972129; 956229954; 484536444; 128116913; 204797371; 321414846; 554170193; 341388396; 676042201; 993897704; 616985369; 952205768; 553796708; 960980086; 7475417; 956578312; 1049119170; 501602594; 1060252891; 471457321; 654782034; 488153009; 792116708; 574443783; 169407094; 633160407; 1069341892; 598925173; 77992620; 136526423; 195107538; 623656520; 849218197; 113781274; 748688312; 717541751; 500550643; 189799734; 336376608; 882412591; 238248250; 897965971; 893802636; 328072355; 660908190; 403701999; 664744085; 701110581; 585875453; 636725960; 654595214; 842608550; 369162755; 102446096; 983175849; 921667262; 389627589; 537708777; 145229430; 932849560; 153991224; 697312051; 735244376; 538227964; 769588966; 297301476; 271983141; 522998033; 396609769; 545243207; 235453463; 702877366; 693203431; 798620385; 172643906; 662823314; 532436540; 450401853; 568785114; 578772688; 932418451; 391419134; 207119448; 1039385816; 1063195720; 378879883; 641211482; 314352067; 745103738; 359230554; 630608915; 17302788; 678808790; 690260895; 693350226; 551536514; 513108643; 670061842; 293919557; 17974470; 742574141; 330175770; 191108031; 675546095; 211901378; 928243726; 176502626; 534426532; 762383246; 806946420; 726487571; 672258771; 998245131; 84132729; 690632942; 681507560; 345003808; 454421370; 89099136; 809104254; 93077824; 978448444; 136976879; 949822360; 52117471; 544660310; 763934078; 925953273; 460175497; 511708640; 611842096; 297894372; 917206810; 617410351; 880650787; 975489504; 1029557990; 1028457141; 811699886; 920536908; 553210147; 361484612; 655830332; 227882621; 727839490; 969124715; 604735792; 678477395; 1016050953; 1207853; 767772536; 517197648; 575644007; 533834453; 202606271; 616871300; 304791515; 422409525; 961697597; 660307136; 468874997; 862560204; 754348470; 430175605; 525847313; 810985452; 55959007; 563466434; 550261102; 338754237; 263397739; 141571096; 507175549; 951704687; 834549169; 360678725; 851174063; 911665066; 962236831; 471362104; 620977217; 951564418; 981890302; 42326936; 771826458; 719956027; 18520339; 494839072; 14257118; 957518474; 903886557; 601860655; 259867262; 1068187888; 176253181; 380518221; 644159550; 876958295; 441162711; 739430446; 906584821; 571686162; 254176497; 315391516; 915152932; 949797581; 732140414; 995609519; 288993685; 933742; 351765823; 131393403; 41603890; 350258378; 843481162; 58672618; 858833689; 925718407; 1061028993; 746695721; 115579242; 559167152; 545913981; 15723449; 561693002; 956505556; 337616085; 434233213; 721171873; 177271226; 579867141; 138213378; 493040478; 993897586; 628494866; 745018718; 347883916; 374272985; 588696218; 894982352; 213864366; 264306410; 309840200; 596323597; 648058578; 760753012; 986386345; 629589192; 758174005; 424228810; 738223664; 621826463; 787564478; 805449751; 754323968; 585795038; 614331418; 216413033; 856238942; 622839178; 225559277; 903859075; 160625845; 183724992; 53235781; 857559505; 547963597; 779716553; 872877291; 577210202; 902301555; 124783048; 188375973; 724334332; 596196660; 471143125; 539741017; 271758943; 181596956; 1040033234; 673804555; 724875892; 665712492; 360992472; 567301800; 715074271; 720956319; 786192367; 620489855; 185359107; 897276685; 594198575; 521154961; 606714231; 16141705; 330796348; 824551947; 259906805; 523565713; 589752726; 949623465; 545829071; 345113108; 532018648; 11398422; 705024819; 826769205; 513319024; 928264227; 748852422; 668071162; 684243249; 754671583; 899548711; 315034861; 223804941; 377983291; 90074862; 662226003; 653633952; 354563136; 52852956; 526319266; 486219382; 639161037; 703341013; 1047660625; 95235587; 868117760; 107727553; 109541404; 532122881; 1032890581; 126528084; 257558093; 660824978; 870545504; 35812248; 53098340; 965060391; 873327080; 446094439; 537866142; 520883731; 50728390; 632927206; 1213876; 93018649; 235693989] 16476) + +let test6 _ = assert_equal 4194303 (minOrAfterOperations [419903322; 688313459; 980520565; 778186531; 728156044; 624785199; 657345095; 600477471; 84801537; 918679624; 490711431; 441138238; 213454370; 974411630; 826264104; 607720179; 902524014; 444967370; 862247273; 242875835; 910165871; 234085344; 56194074; 669961614; 580482922; 102842631; 838733798; 865213362; 174902297; 324262124; 43612545; 1052603088; 448258986; 78235688; 726214989; 934622879; 956710518; 989435480; 705776991; 447074093; 808023410; 556483273; 104533741; 879637843; 684408412; 622120989; 795161136; 783399911; 813310226; 1030907029; 686190807; 413288229; 1004166644; 1023022180; 129497557; 354107595; 1065413816; 290589625; 79916667; 284304480; 332679726; 796032677; 718422367; 598059210; 596283479; 443182717; 229645917; 860349771; 231040456; 855848076; 873894335; 4358310; 193369625; 156251499; 208591385; 378646994; 118986689; 775540593; 840938462; 989338504; 84993787; 539962592; 49170592; 1065398849; 655839213; 790826529; 313701856; 564283566; 466416494; 836304380; 147697308; 954973000; 76617442; 1048824033; 887846413; 254276909; 420038139; 905768190; 703530825; 792067153; 199839840; 407749187; 351490476; 991498362; 384750321; 443082217; 778248150; 1002636021; 1068542543; 374415959; 1040971587; 945025935; 799778208; 683471198; 162995731; 656866562; 1071611333; 791076753; 736144094; 512137058; 507013552; 880387752; 1022746980; 977811997; 576200117; 675971886; 415300227; 165201856; 401015509; 806143344; 255185897; 404206786; 924262440; 432585639; 798614181; 171373027; 164454118; 777761666; 244588253; 477096333; 961735804; 949765904; 908002868; 279418360; 770458150; 335010281; 941317570; 365870568; 941481536; 425610038; 701178117; 25766278; 433593525; 200911499; 414310979; 192231436; 436086338; 813687008; 286775669; 753428386; 946668362; 141872550; 134754960; 951777274; 29872152; 814884739; 263219348; 430441262; 619616328; 31981485; 114725231; 558789639; 8570896; 486662318; 1045292612; 468294179; 204660873; 412319862; 145482639; 859111653; 710346452; 840001646; 191484842; 735302464; 471119719; 1052586807; 195133236; 21125183; 144548369; 179686319; 653354670; 183802239; 841494069; 634517576; 382671470; 912697337; 733558641; 114578817; 416492954; 738807694; 1037329494; 185913717; 424015851; 52211668; 1247879; 648416745; 790877581; 858332348; 305186552; 400076193; 560402492; 830465710; 972828067; 906454992; 188241551; 955223546; 638304228; 728812085; 1021152368; 383123183; 502877257; 959140704; 611313213; 1069905771; 831702066; 39452912; 302422955; 717825840; 419583159; 884641678; 799518030; 934461558; 973282936; 982557666; 814119517; 737160348; 786167020; 674815927; 437700178; 646682659; 272899346; 701631141; 223716939; 269783697; 687247339; 340175007; 898124411; 88003061; 34267468; 1016436645; 277926568; 434810100; 134885341; 286216180; 576160272; 709025623; 307425796; 370697810; 407837507; 928198431; 519250205; 727912066; 160229504; 889130670; 241442482; 938160202; 980659102; 523000236; 14550533; 499765531; 763973358; 494467960; 11452410; 270019710; 998404681; 942854489; 438629055; 974360577; 142417263; 522616133; 745637981; 973680269; 41518275; 214837532; 259525576; 1025845193; 354561150; 686298098; 325077000; 88159629; 73868329; 231817361; 629664585; 99206636; 765562878; 226262955; 935437397; 469180748; 759337480; 19755996; 882074865; 79489295; 424374494; 667958867; 245299215; 250245245; 244061826; 815590676; 159861074; 528333856; 943510027; 521449973; 836237260; 88127150; 359221344; 526308976; 450841381; 42115276; 643189505; 935971111; 548792764; 700201725; 854178260; 138730366; 89262120; 507590337; 33924048; 553720962; 160961307; 900053415; 303870001; 992709457; 846854954; 285686467; 637012705; 544707218; 794668873; 313410245; 742676275; 1071618343; 19436565; 163194953; 1065852815; 573327034; 667993998; 764963590; 359733236; 50588984; 57082058; 606594635; 548473938; 379417727; 112737524; 1068584616; 808517597; 569493239; 418742907; 312060049; 668230157; 500202325; 260073638; 16988131; 681806689; 964535753; 678210710; 466610822; 395686844; 795452793; 710129161; 926040318; 1016593564; 431585965; 101037733; 1007128600; 495096514; 170741563; 1050344411; 249886317; 33470668; 925918735; 696908659; 309263881; 793746401; 730316956; 781322995; 586381290; 754574933; 37115674; 683024027; 494215669; 358256783; 159152937; 97702287; 390933579; 591943400; 363885421; 545462334; 385736988; 75100583; 687707263; 126571461; 792710976; 299722363; 452394152; 557269825; 171956285; 673420811; 124702052; 1014435314; 854878299; 639207627; 185026876; 881139862; 829983250; 660201307; 208321081; 948998256; 595006958; 773996369; 402143015; 459493326; 509843218; 495861451; 809648379; 516687012; 166236911; 1028219609; 197871516; 91787129; 389134782; 739998273; 748285581; 449928336; 301341493; 188525211; 142191783; 561939123; 599879587; 442941688; 955637059; 238244805; 707424059; 228685881; 771469157; 811555052; 897069330; 951811193; 276919007; 29393960; 1031961447; 737519466; 345252856; 954349052; 866818855; 330797033; 5858293; 439794186; 370348341; 745754193; 353230282; 904230764; 519661019; 254887054; 756675595; 139694958; 938211778; 511053630; 345984707; 636133251; 142978751; 275871440; 1021510473; 170354902; 814208178; 370923856; 299917487; 118540309; 737535604; 830237432; 569913709; 122688096; 895637971; 429603850; 188818406; 559839006; 423282923; 230833962; 168978543; 468342897; 830196701; 401117933; 134436125; 24319379; 806054292; 93120824; 129999490; 612778810; 474427066; 629503183; 685261876; 514009465; 25347970; 538808316; 654322698; 197039941; 1004652125; 134414823; 979953922; 109031535; 128999803; 1011902952; 71220257; 415745468; 80664570; 670015896; 1059584519; 716627314; 381896075; 522680472; 820115610; 92563767; 1056541961; 1063655803; 794960603; 765042543; 751570522; 476769541; 975671417; 807141144; 712348872; 851283655; 228886072; 790968481; 710651696; 452627611; 933917179; 348542700; 208367369; 521488293; 370434036; 341529578; 782925332; 652593355; 285390200; 637735566; 534776277; 824020184; 700501854; 574235164; 657599823; 30325796; 63176444; 884966756; 925935851; 505694827; 965776503; 783222588; 924165289; 737567460; 562030525; 995439966; 997782552; 95917301; 323713651; 980612264; 368333309; 883864549; 152182408; 437365089; 867457385; 1048294143; 847642172; 745616444; 458954218; 614258986; 654879656; 5241059; 789838691; 900341357; 849357876; 984551062; 380533738; 823084289; 820705900; 861268393; 180169387; 799809303; 381208860; 438454209; 429606694; 670285469; 97100661; 561241118; 990232351; 1027086323; 500418691; 725234260; 550514290; 849582323; 119888205; 852436724; 997356525; 620665781; 978015632; 697819272; 927098413; 944618400; 145307974; 110550033; 382575542; 380344517; 96058360; 221342195; 875024144; 293066211; 659619665; 100552225; 545661163; 513837450; 1057309622; 572234579; 438960134; 494907887; 115377354; 173540896; 549014538; 196116333; 581475126; 152173120; 170817302; 453541658; 711812256; 557585117; 610670070; 977136391; 209989676; 483024416; 235260499; 747346723; 1012293003; 695886624; 109474890; 986072547; 519835783; 1016979293; 329204328; 901450272; 402663957; 320333148; 540755308; 1070438078; 507428383; 123048305; 12775252; 836635607; 274998821; 80425763; 1032171547; 160354355; 750236046; 403090770; 459961641; 572149217; 787476007; 1040533134; 582194946; 984034195; 615394394; 313155324; 607737665; 364231086; 987472888; 570760263; 677952076; 1001822083; 38820911; 321740672; 1038650913; 82928738; 731558331; 947613418; 1005649390; 521850983; 987272434; 392425986; 283556280; 461088206; 375132831; 571380469; 951302252; 997636448; 384062399; 754989882; 780515773; 383621295; 43300663; 385251676; 116645236; 842607353; 676698614; 1004840686; 817414044; 525357147; 748050289; 675177749; 107190016; 966921341; 1036392846; 170314167; 63122594; 791902429; 638490250; 452903390; 309705950; 696083402; 87758501; 386393289; 468761066; 732913435; 520597951; 439856385; 726824197; 656941283; 688518114; 990835028; 44908290; 419505538; 526078713; 1039368681; 15942505; 844396678; 395229133; 822563145; 594684846; 687938163; 218217093; 579800250; 898843041; 393314108; 510486815; 393271512; 1062184595; 419592561; 925420570; 572312604; 890050540; 74251217; 244191009; 477642153; 104843439; 968083480; 1011582071; 198594170; 37276278; 523941185; 369565997; 804617038; 664986719; 23609043; 539284557; 219784008; 698662093; 538233319; 959855430; 151733782; 854602959; 497503459; 748611927; 221807091; 895848512; 50590047; 887037568; 293984754; 617361109; 175483569; 125740052; 391637672; 558453074; 61171735; 1073268545; 568882903; 677357397; 1023959643; 201004110; 598235045; 576417662; 374845664; 688159441; 655812207; 284066120; 704628758; 1054852519; 167048409; 727524544; 363874212; 359904934; 374121276; 817814723; 801442089; 181806578; 350067096; 978360857; 660950828; 1037647109; 101104725; 929022519; 666401241; 233778463; 302811665; 885018836; 247669787; 1020190457; 36028049; 611437845; 1043081986; 541925280; 939204649; 829765701; 1055569927; 514740934; 710929332; 888843757; 977929883; 13732107; 750038880; 491565368; 423262289; 466133970; 257667321; 549272085; 209438800; 924785089; 589708050; 684574554; 707559850; 57991229; 471116904; 945056255; 308838712; 217006139; 613877518; 715958812; 853900323; 729677420; 256671463; 602973457; 555163525; 161889029; 857348390; 856426078; 632994872; 908956780; 778441587; 683547270; 52365671; 65333064; 730741040; 876891266; 76489744; 1054213916; 401090549; 227018737; 1064010180; 125308115; 500018012; 195366334; 567142551; 983560471; 633781991; 988667525; 619889367; 722897059; 660514371; 972176733; 915640390; 674107047; 343732530; 964673801; 897393953; 443527382; 903639224; 822967761; 142730952; 9702060; 753231857; 74936240; 889115545; 293259503; 251061257; 207619865; 262779125; 90141328; 89769773; 252701709; 205998048; 942203071; 201845225; 603393098; 479070682; 705653925; 228459556; 60210095; 46322075; 601384237; 847987675; 21851313; 765950229; 17857588; 550037614; 581813301; 803212862; 567684234; 532848494; 628623800; 310246795; 768893391; 617951245; 220783986; 871171889; 876802114; 619106584; 295292378; 933116900; 288068209; 575331395; 781778123; 641288337; 389603278; 130329316; 653870182; 425979305; 474989165; 75530234; 439637776; 409779379; 608070738; 1042442378; 629593021; 434122457; 792533815; 696752030; 880900078; 625799453; 396451842; 40206528; 594415962; 730138851; 1026891350; 1006620684; 876628927; 384971280; 301897130; 285882687; 739677228; 137009669; 544730266; 956673691; 371061225; 100953473; 520612245; 391253145; 498652344; 974456354; 96855210; 200305536; 711047739; 103456843; 400092461; 913850517; 137534348; 853680110; 775546425; 152831562; 851175363; 260364005; 726704211; 868296214; 453904202; 467183351; 906544277; 964163996; 630470742; 130082157; 186070115; 12342320; 148352420; 816982450; 645084474; 41608615; 161679100; 346910689; 783032445; 1020537514; 261031072; 994462572; 157299070; 46449697; 360377908; 570565985; 278440002; 954859574; 1022566262; 668558480; 832822523; 292611355; 821858059; 530185047; 296418185; 499656945; 429632637; 1024274689; 587204188; 470974330; 89358678; 640141626; 1002418672; 490312047; 310106211; 171205864; 213846394; 468134064; 482229731; 645742982; 85614860; 1061824727; 569929946; 22539895; 718194676; 11874796; 46825663; 1061730575; 75520456; 282361559; 921457962; 12957471; 405459176; 598724396; 582333105; 1050616900; 447655993; 339375819; 986613211; 818339725; 847302158; 754351063; 945308045; 96016240; 700240788; 377855230; 926696676; 224546084; 856011295; 320801749; 475804804; 380300317; 909900113; 35268291; 165213346; 503444435; 856025250; 675263094; 16928944; 670623448; 858558591; 48826898; 669906476; 998879990; 1028234990; 287064441; 530318783; 749561600; 80399440; 135206014; 26006926; 788773730; 352434229; 569774388; 395676382; 530949721; 308727416; 973900644; 91267429; 954700232; 821342013; 777524040; 437895334; 406686965; 304677578; 101153924; 461798859; 1072743473; 272042341; 237216363; 921843874; 494865628; 922147444; 97630303; 287364949; 967207050; 601462396; 307092603; 129098093; 16297214; 44426252; 427579268; 68354726; 686623826; 605590463; 47622085; 342402023; 1071621451; 781269984; 2410862; 276870874; 1046637726; 589260076; 478126883; 535274561; 1007507891; 619156034; 560935752; 356610104; 589602792; 228073821; 1016769744; 64632008; 620787956; 850735414; 686579665; 171791814; 879724502; 506140104; 1066016595; 362715956; 528771667; 7809061; 335658611; 1062954636; 260282554; 675295389; 932153877; 988201175; 718962383; 197364078; 700577087; 11164924; 229132464; 136100531; 321978308; 724558723; 386884110; 697152984; 952440066; 661335342; 152659850; 323053298; 972321535; 787628197; 100898531; 120108102; 681581068; 849892307; 697525981; 387725660; 846790388; 868913139; 173275421; 360342306; 295924623; 790582128; 2162323; 748052597; 48015503; 312275763; 787621178; 876350776; 290941433; 852551702; 606452855; 851334719; 586773607; 819805299; 47623215; 540277435; 15051152; 803550880; 211310750; 563375820; 841957965; 719976592; 102207285; 253031081; 858530726; 744107368; 951073385; 402930250; 83539648; 593711068; 11956308; 672243737; 201043970; 738465903; 246176775; 489814840; 512135917; 993255226; 301128838; 397913686; 229437853; 221372414; 308332997; 887971732; 989669454; 1010710381; 682637814; 921063552; 398306700; 269067405; 734309333; 932051927; 944352460; 1006773420; 66640658; 484296330; 227148410; 963263571; 884180341; 632213232; 711226487; 260817125; 570564641; 180846262; 755598455; 238551654; 375473680; 1036751668; 457207930; 325508411; 856581843; 1000903456; 909615641; 790519109; 4269180; 473144590; 826435625; 873219190; 415134683; 938451493; 1054746712; 692877959; 685300856; 518144865; 908380201; 659793981; 148960458; 487569785; 436654012; 548246645; 551217040; 927781170; 645663518; 780948290; 565904077; 457146262; 804976837; 489975257; 700500649; 560350882; 991467675; 589475669; 554617486; 574865236; 872439283; 983966725; 1031186898; 991668369; 1033569783; 311133064; 306796529; 609322534; 1032942282; 149237528; 509624458; 1052603497; 54651522; 516827236; 362137070; 345910268; 852752005; 429471291; 220550753; 1013254462; 827125693; 933496062; 1016760871; 330916614; 326782525; 1010259736; 652879588; 423724451; 558302300; 78619099; 8941144; 924990983; 814166005; 829565515; 586957227; 36415604; 294702095; 144700137; 381006767; 296580151; 821242581; 340441224; 243734094; 806563036; 646197302; 574858975; 731972337; 694091486; 829711464; 724117138; 957982542; 113174423; 1050435692; 381558601; 11459581; 336342845; 821577763; 342215391; 594665431; 416866221; 216595169; 293176707; 264847532; 691379134; 952615058; 162501470; 855481550; 137657740; 815625473; 350762483; 408228971; 563683440; 695869600; 611546383; 970455277; 349692594; 1073601426; 692467305; 289157762; 980589096; 519789283; 1018361943; 836960149; 137050906; 676377410; 146590418; 695212805; 320939521; 221735880; 174907962; 524324393; 653889711; 380893440; 329304130; 1064897374; 77785540; 131291185; 557608667; 660800631; 274985757; 322461711; 557124206; 277089274; 447761865; 932101714; 61326100; 264728699; 429524314; 458169208; 28174845; 997668555; 632424643; 644105518; 359969614; 177549377; 1013004086; 764549006; 676610495; 884894369; 69172462; 463339716; 554901536; 489003377; 1002427464; 956818450; 543257910; 77803797; 761228645; 412607755; 288258142; 878596648; 174526813; 1022711824; 108480702; 358949042; 55862203; 437141030; 278952414; 756622725; 800064912; 634397641; 166363611; 899083140; 12867913; 879692980; 566190973; 784458576; 455450122; 593018867; 1067017096; 2967255; 104950001; 855018518; 947427213; 254769525; 1054117923; 52237089; 431282835; 226400719; 487308847; 716567341; 735199555; 171513078; 369999130; 320174527; 997145225; 285923420; 936975748; 325750107; 103344055; 1046472870; 613556515; 191536018; 416028218; 282625741; 498758280; 496613997; 198584177; 608169654; 766244155; 231301452; 452678456; 642908194; 623383814; 1072420726; 342941393; 775457987; 852966375; 800953511; 545578796; 719018360; 581696182; 1071849910; 425429820; 823545504; 266706918; 33497808; 733700809; 849780642; 700699958; 632180155; 1062166508; 159217546; 234531789; 867365599; 1061781538; 211023111; 137304160; 33309651; 255072850; 190087422; 695100818; 815665951; 484276162; 187496880; 742973917; 482860202; 390569455; 412873140; 469102234; 278669747; 31296345; 799778135; 665679688; 125936467; 784478394; 289534459; 423108840; 742402684; 377010140; 769343554; 1017440917; 682316827; 873597584; 658911981; 854521796; 985993140; 1049355795; 124200246; 399219048; 100759800; 27320086; 317450479; 874001953; 1005080750; 43325247; 527052647; 1060045637; 1022365371; 509346047; 240246267; 786538142; 900797592; 366863696; 229501480; 266812293; 239610258; 899495619; 868637671; 352903131; 758234359; 1005851701; 962133878; 136430080; 636363927; 517460936; 260916895; 108950912; 430443576; 1020691858; 1048477930; 15776355; 135661682; 127851798; 943799991; 258389016; 818195390; 57710515; 628136691; 513483465; 37124938; 452242420; 409844659; 969736104; 64141282; 544590518; 527584066; 167559935; 28282920; 249307427; 25021894; 558735445; 966334243; 597295185; 51241982; 538274514; 735779445; 345459636; 437827191; 301563561; 93954702; 199581077; 567351755; 802190793; 105296534; 544347855; 685636133; 67695731; 357477136; 789893746; 402000918; 87030825; 950404464; 139294393; 428629678; 739807513; 8761205; 1042306262; 602099622; 73839598; 436210674; 114084395; 237081783; 687520231; 576812643; 244062097; 684271929; 632165578; 60647106; 872481051; 230052427; 792228480; 265714695; 271105061; 114236580; 544566912; 21512415; 311499756; 412874215; 600396869; 711540998; 221942757; 320361679; 972074088; 857690478; 657541864; 4031749; 301527974; 506373719; 175381560; 365956915; 985415838; 201587092; 720054473; 1014834897; 846507660; 1032660582; 466373944; 638654411; 252452264; 405738733; 83215995; 567138216; 315210937; 565006905; 878784953; 749489395; 507649367; 348234191; 923767344; 894206600; 586502746; 538400392; 572442657; 650315389; 149755445; 690523512; 62319755; 771841941; 46042965; 212652466; 500114358; 384645156; 527034014; 580511354; 87872498; 88106790; 16958841; 156280149; 128223797; 280015789; 214730653; 35812114; 61734609; 904925295; 457533136; 265162655; 748857605; 413268757; 760038558; 637061724; 48518328; 762746426; 452006441; 295191777; 193736716; 279469338; 784503961; 782757866; 800194228; 1016246466; 641875913; 991887964; 721440411; 494391150; 94142592; 739839149; 981673104; 850016607; 545682197; 686948070; 939759740; 1006499512; 750788235; 106935526; 462447252; 263185124; 970108392; 535473260; 1013714320; 1043260195; 17499727; 74786478; 911892558; 122201370; 13681963; 417557909; 837581569; 820015839; 170289440; 471308940; 915355420; 1001731261; 893477900; 223922051; 51320793; 413275596; 887984166; 589087889; 1001264079; 969972559; 580203985; 1071810890; 892641911; 979181308; 908474862; 115591140; 26663295; 902713098; 475725998; 477404959; 441398185; 810961207; 837052510; 873577998; 302982027; 97313698; 242673337; 1057685869; 1033648716; 796125634; 690779106; 4135971; 44386411; 512795058; 68827162; 493062155; 352290145; 679346551; 749940615; 165278996; 793839953; 798815702; 500176982; 97624270; 899106368; 979782093; 149873864; 986185308; 274433507; 797245726; 174124481; 613658784; 736668690; 335075502; 1072992102; 823285171; 672112706; 555231255; 1059732323; 683817355; 818761247; 756241653; 58464057; 587105210; 182738192; 816996979; 980688635; 716265905; 566911266; 275326620; 116024470; 454530160; 255937709; 387506756; 240832785; 537886969; 1054341003; 135482924; 182787154; 104354585; 590337071; 108078127; 862495672; 902527096; 721885102; 621892944; 680778248; 238590546; 326927758; 1062311021; 67931373; 35920203; 659489679; 569421307; 881975427; 649060942; 571895751; 524640755; 426471774; 378733610; 604392390; 1008071836; 309700078; 467207354; 771800498; 841498277; 796591113; 276601243; 571848871; 127039041; 681854445; 841497929; 672749174; 959327389; 897248398; 389327760; 48620111; 814890334; 838041475; 232305566; 547810362; 97601033; 612006422; 630413459; 211640735; 813117391; 851735704; 1031638705; 740767187; 174182028; 375376187; 24673444; 124789875; 176350870; 954139687; 506094332; 789858189; 402917993; 710371269; 834212646; 796587632; 374660688; 167562598; 509983303; 834826379; 923731499; 522861851; 933921374; 871221086; 633414368; 190290211; 560748408; 439755355; 653934934; 266136459; 965386562; 91362196; 507873678; 148883089; 430362488; 295993362; 625707838; 751721658; 142388893; 71186396; 468950171; 250288578; 66632400; 374787730; 823965094; 580299287; 630072597; 977835624; 1020609131; 206673798; 625118215; 506524866; 290152242; 552694081; 560072515; 888377099; 887199307; 55861944; 214934343; 417529155; 704091774; 972008644; 638777674; 695682197; 474989609; 175795593; 685626963; 416144486; 720971542; 886223758; 259042391; 55740372; 721893856; 770397838; 108116682; 634217797; 618494529; 1022954122; 493284102; 233260470; 512265830; 24076693; 765548141; 369811040; 439373224; 951300334; 221165880; 1060287113; 719903635; 759584919; 372304307; 1025540281; 293140294; 220565228; 103489205; 243489436; 1034558874; 454001038; 873782217; 634299200; 348075436; 691546958; 570072160; 189796089; 205578380; 351143039; 340341527; 382694279; 991248958; 373922832; 232028394; 513223310; 997885965; 198712486; 631049961; 837043928; 20970086; 714136470; 1023517183; 26753498; 888229995; 854777169; 798317271; 449552015; 438585380; 306281505; 284034732; 642877660; 831846901; 451800560; 4146183; 501428588; 555236062; 1001276374; 301874097; 113060409; 1025595320; 560618367; 540478163; 310943930; 108278653; 1068456927; 768839330; 753618715; 164129282; 956540325; 47898257; 323344476; 802369181; 515325176; 1061719695; 105155235; 606115353; 164282681; 556458771; 550064029; 736077248; 954118347; 749558122; 59709959; 234240592; 566296216; 502712222; 197652940; 345594423; 487488910; 757252200; 1068538056; 391057160; 904762563; 519198983; 445456904; 119891178; 737578397; 625919936; 229554022; 418627496; 997820504; 366043991; 6153341; 54955180; 849595793; 550730052; 475293779; 133603134; 229633721; 717782602; 767329237; 483749573; 747445095; 381701545; 484107736; 980782550; 178211201; 890465014; 580636594; 316817178; 416120910; 451204037; 1009851774; 259405218; 80550161; 1018538828; 906406580; 631924551; 144508843; 274768369; 578210512; 113089994; 313008319; 177134835; 236221402; 978141837; 915702750; 692939750; 3153177; 1009852865; 331688575; 887877162; 513621331; 486238568; 877169169; 1009830147; 919638066; 812851486; 972319777; 25962300; 120821877; 48788599; 290643493; 216517175; 467108279; 58176735; 856163725; 957773949; 688825149; 975184020; 240713321; 942599227; 478025875; 901774160; 270085563; 1038515046; 3385720; 437540442; 994501584; 1068864323; 598745008; 763084694; 652691607; 978695992; 906868233; 785537398; 765387280; 363379812; 540406987; 691986041; 144970580; 415292760; 25920987; 842356769; 608074584; 487754229; 545734556; 510554794; 759698164; 487152775; 104150756; 222794907; 228591574; 186895023; 1039654305; 247345981; 810929038; 528885534; 853980236; 640120496; 1031098548; 805576381; 1055915797; 677553630; 842236188; 880166184; 569758519; 166434058; 40897806; 122482443; 848883645; 539998281; 838461136; 930712666; 295399647; 738237606; 535063231; 173114357; 369731548; 399201281; 720409890; 933854439; 332446519; 440814186; 593134985; 819584615; 689114225; 149005203; 465981432; 999487905; 139040026; 288967501; 364372552; 462604033; 743106203; 110056806; 17064042; 618935969; 259012299; 673493899; 139135704; 940997402; 833210085; 798426299; 498708433; 895150206; 480553675; 114787368; 958920817; 824572653; 588279982; 4373879; 471687488; 428040704; 899925203; 107249782; 156074056; 657232517; 1068519264; 191659677; 823991679; 613994376; 286717364; 150793033; 445081200; 225295863; 954132698; 867493680; 899686488; 615661644; 875865031; 735807413; 683707114; 448161760; 38093899; 1033397035; 115738525; 593368736; 198782687; 913815416; 759721191; 586853765; 110945750; 347258797; 568017242; 957798657; 246636729; 309487083; 350394591; 764980760; 850827553; 989031505; 212888649; 893947108; 467036266; 574299657; 903947360; 726512839; 936801052; 329001456; 926440472; 299105578; 678232785; 155160219; 844271690; 658733663; 942195514; 1006838516; 46640515; 1065426611; 980717618; 906339498; 797577870; 231362640; 58234258; 872874571; 743409312; 953921083; 457449998; 1009307667; 126274337; 408461916; 797422865; 435787628; 871876677; 590737185; 800985704; 261062560; 502313828; 381739386; 405984944; 450337581; 1020013554; 476960250; 496833080; 611625838; 330537009; 769630808; 496445386; 562716682; 956226658; 192024683; 596546817; 943902169; 793010493; 73016076; 875940168; 617781977; 986109084; 179444597; 330688906; 1033218991; 938639340; 327321601; 156392586; 1041779024; 362119403; 515888216; 757597844; 233227551; 839254106; 816996946; 862667467; 76081424; 993876975; 116894322; 399002409; 201338652; 655952015; 477267432; 170042572; 877812202; 1053500844; 297158880; 341833150; 613705026; 281932535; 792799858; 142808107; 863498947; 342903491; 289420272; 967132687; 249578394; 202015566; 250840447; 565623780; 570276536; 665029529; 816817116; 91805232; 825709552; 991990826; 387219907; 19373203; 902866980; 432119063; 901387211; 241065519; 511600961; 712199350; 991156374; 621505482; 826224128; 440697752; 913707339; 917110535; 716980252; 279734444; 888617829; 174349627; 644902833; 254107291; 363407529; 300258274; 62298428; 440055830; 1596393; 186831925; 1069118694; 991331780; 445829723; 911540781; 706027067; 115526460; 505707122; 833125452; 106677167; 13763032; 162569571; 355550477; 531093173; 422766279; 567903160; 319526195; 126166044; 802055160; 72982139; 1012794470; 360822071; 988973177; 705861999; 772506045; 933008201; 711141421; 548327863; 911438764; 823823855; 217017953; 231638202; 624360644; 466619923; 48894138; 378532929; 882513897; 311330187; 548434541; 414299453; 543502672; 235191553; 1068585089; 307656150; 421219705; 677639634; 526574524; 743775017; 115085047; 326611387; 79835231; 73821404; 170601810; 848797823; 697604966; 304499798; 535743748; 659975335; 655356660; 95527780; 701405179; 434429830; 840810925; 753325176; 359416; 233929345; 62347983; 91283274; 333541438; 808954262; 558659549; 881002260; 878571884; 962984541; 103513800; 1072746611; 882436100; 1047134613; 602624237; 48791460; 89529188; 217840179; 329363134; 257807080; 542227650; 973942797; 258315909; 863504935; 1005310948; 214644540; 735547347; 622388477; 224177735; 305203887; 508430059; 48612220; 133107811; 873460389; 1025462894; 1007172348; 386634479; 401419645; 837185341; 805335492; 1037634212; 701426513; 740792107; 108540996; 555033591; 221508713; 917829933; 255909700; 762527361; 603082571; 607040228; 575908887; 648682776; 755536593; 935331268; 442703912; 25273875; 1045264873; 301350014; 670744016; 660446670; 698590824; 645095871; 868966984; 883331971; 30311594; 433320737; 163410417; 509784538; 632010668; 779847571; 509540067; 444312286; 980687733; 172784129; 375486066; 272700560; 149387989; 426296574; 153420557; 829967203; 969808089; 958183787; 1030956502; 817534928; 499881864; 839850102; 39699322; 640076396; 865648870; 737876663; 475115237; 684749786; 498390530; 2849681; 744083403; 157695566; 498966169; 821440953; 104216213; 926460239; 823203777; 505443814; 459187262; 409924052; 87482867; 371434378; 389208723; 82583946; 149771757; 40442130; 805886328; 415904083; 330782104; 699060343; 983663586; 1058691767; 219614220; 541631364; 7013613; 598488151; 603849291; 659561298; 653982775; 286468933; 418404397; 195750973; 77795550; 157937363; 460589580; 164994619; 646794145; 1038690048; 80075717; 30475986; 161927197; 810551503; 742125782; 949008793; 797634773; 1043707074; 17088094; 381415990; 1040037252; 230108182; 866816710; 224452161; 544336856; 66124140; 653227670; 330356614; 685659476; 58573639; 111706276; 560858308; 748416157; 369098167; 1047333355; 671607343; 802440940; 983607795; 644015530; 846991360; 373648345; 843279800; 30653113; 666820775; 333866079; 448731631; 656983517; 168774068; 1072999503; 434887955; 647006649; 675671949; 388326208; 208935955; 221165972; 26622023; 107659042; 539983157; 458841851; 979178158; 529293044; 30574489; 207640073; 948963419; 183729934; 476223258; 926043777; 311939013; 508293175; 520585946; 1068008504; 17646387; 802587725; 403582205; 528657602; 707458937; 1020647968; 584579096; 398893924; 4694175; 726180796; 319926571; 547666777; 492154421; 945041423; 662552569; 1015343864; 45086970; 630022083; 938587796; 1018202788; 859753717; 404741971; 598780909; 121431935; 604265531; 367515796; 504765486; 75874608; 546602286; 643745917; 164022792; 475935043; 662422093; 566561744; 966118323; 309084121; 614669959; 247454302; 670927416; 232436066; 475429307; 38480707; 780165468; 255817038; 268871695; 960250675; 1774992; 1069283460; 590338783; 742154004; 609255862; 573404181; 705021195; 62449298; 212698550; 1023710427; 742431961; 387644526; 798481629; 428829812; 575878642; 553901175; 1020453537; 966207013; 632412426; 209776570; 395458218; 799351628; 550197460; 469739871; 806471094; 797706433; 300075335; 980249382; 465603960; 164205085; 550352357; 241858663; 925411364; 628451967; 862831806; 817027454; 865766898; 149265061; 667216299; 306949042; 766589397; 693696282; 61674908; 834405104; 172519891; 776599400; 16482142; 296370117; 344594650; 950844295; 573521530; 280491055; 273146175; 635696627; 931396337; 979401451; 23841400; 123925692; 826925208; 426809760; 594737799; 283487720; 444554449; 520419002; 281871750; 604330727; 734763698; 71158186; 616502009; 79076036; 76351129; 356901300; 992307920; 5347832; 230583930; 441771187; 102476769; 329101174; 225351024; 977975973; 1016140557; 633829310; 1039239473; 424461408; 929067158; 893969166; 765087465; 59722543; 520227833; 801028919; 191092888; 533890134; 504285948; 312482246; 1073669724; 778764604; 801123096; 356162279; 818845445; 678453204; 931779805; 541805452; 375537301; 761720281; 868724353; 106935533; 356755802; 935870901; 935232575; 776934318; 711366736; 783918082; 1011635546; 308617377; 1072855919; 30074243; 967110078; 456406969; 550815254; 992798228; 354201635; 992709844; 741939045; 695224566; 1017276561; 564231298; 371180239; 810618572; 668093959; 27319540; 306391873; 1069497606; 621965850; 286380081; 765549229; 487081400; 342001129; 988829123; 920908458; 455168964; 397847830; 749786821; 366648786; 217561590; 37726295; 870904092; 326108411; 885364139; 321198437; 860864855; 175254412; 119675345; 568388649; 510747164; 944298658; 916345266; 50006068; 794824187; 430685857; 854941493; 682567139; 782160791; 955134476; 473370708; 752257575; 365133798; 455019378; 915818260; 695622518; 429561139; 737466424; 143211942; 812001817; 598743698; 189904141; 567630763; 243916249; 583748835; 21386990; 196888671; 1069065997; 839504029; 460323561; 430910650; 336359861; 829920; 46970033; 827139442; 479809113; 106851300; 797875608; 564875323; 877715758; 635320989; 154399934; 961490679; 946967332; 241143726; 294170281; 939791550; 271142297; 852930166; 220490855; 153260932; 376433077; 994621078; 416788896; 355104117; 556858319; 644880978; 659852318; 275446507; 820504543; 29519215; 844189908; 561714774; 903993430; 981697536; 439508056; 55990192; 706774772; 574493500; 599736958; 49644190; 454777344; 879290568; 215192628; 30568959; 38417042; 911096080; 135979637; 121858804; 931125248; 745534565; 997532213; 152286408; 304129169; 1063329475; 91201251; 350935872; 997762335; 808558788; 823120230; 979654914; 760603802; 942464105; 12383675; 547969078; 876509711; 855401270; 912365682; 39351868; 991078774; 50235970; 2005088; 120856200; 508231104; 1037755563; 588600301; 281684520; 419243202; 916931244; 495859215; 598217072; 521873784; 720896442; 997402689; 725949013; 203008612; 432998963; 894854285; 799972127; 496855168; 595563587; 152972444; 785557375; 933330662; 900467406; 1049360647; 241401992; 885392340; 785948048; 91674083; 490348514; 458545917; 727571327; 924464676; 579608178; 340386498; 947439072; 859345536; 143655123; 248708444; 910983420; 453766780; 1061789425; 957849743; 24982723; 79098972; 606257667; 1029087181; 985616239; 869706329; 1041580372; 280936028; 481534898; 121593556; 365242025; 845039918; 436485405; 907245894; 560579729; 725697211; 15294924; 359050315; 836896151; 706786582; 746815955; 117645735; 128682762; 1070986986; 572327553; 698276412; 64336152; 192785474; 198281012; 416335616; 561326599; 763164473; 881080939; 68684039; 176804147; 174533560; 55749633; 438682759; 843451017; 487209040; 391153254; 346675265; 168768077; 579631603; 485414439; 497019995; 530849600; 419503384; 517302000; 917737442; 466053014; 369120916; 642194740; 826435882; 329615484; 838221815; 156195856; 974268099; 61318327; 529787421; 902077998; 572982705; 234961180; 897921209; 595361519; 863666727; 832306583; 338139906; 895174611; 707940651; 214896565; 11312945; 260539726; 412898450; 17633706; 260100515; 1055920063; 79856126; 289399514; 498646840; 136222286; 677068863; 531677101; 1002708439; 905163806; 849858378; 572475404; 127953977; 560730039; 60844452; 784900343; 220033224; 95167562; 728662280; 960812603; 597691840; 796021962; 738628331; 213520908; 540535604; 534253861; 307783277; 453288198; 23278278; 842890403; 990591843; 476551899; 379104057; 104157198; 599114684; 780796121; 1013123736; 64212629; 62747307; 678655571; 76493474; 6072498; 886583726; 1035027301; 609602041; 390002914; 722184378; 763045550; 947842346; 385529614; 250573076; 886228596; 860127972; 133073401; 237292392; 433077006; 401954928; 7082638; 848050768; 197886643; 701457265; 74751223; 688734513; 68562572; 331806541; 824792590; 424537315; 801908058; 655003480; 122680629; 1039394365; 510718752; 1066750273; 126166661; 417936325; 97598711; 236306311; 36575647; 188719070; 74615662; 494906631; 495039912; 551581056; 884003431; 726600683; 526579059; 549120837; 181097197; 181621672; 14812193; 767515533; 949661792; 39013100; 326149148; 749419174; 795477451; 128898780; 99479586; 757189075; 367442136; 979629104; 440774931; 498716270; 193236300; 881085082; 948943338; 97932030; 799944770; 656237590; 590024579; 298691744; 773087660; 886768013; 459764473; 368635971; 372548551; 95645642; 906565756; 959570240; 369608310; 827826289; 115813347; 98208408; 191711390; 460451523; 754396107; 240435740; 636816146; 688550613; 516132480; 1040423087; 954766159; 956011394; 708153057; 690047141; 1054195097; 193219634; 492688081; 158134248; 155673222; 884413341; 162729903; 37057248; 129684638; 667314996; 1044584724; 179697568; 157978240; 74191319; 1059597766; 436084768; 645905361; 350647723; 856061495; 792267926; 919198424; 568228177; 543106687; 18877591; 712388604; 932292574; 1065898292; 424367035; 237089815; 383413414; 67190467; 407723362; 962470769; 535271448; 243525531; 399393847; 451879001; 328509146; 485141380; 745566395; 189495435; 484308565; 784783698; 208584888; 175470299; 435117360; 248098383; 617570570; 134661866; 608134430; 980294973; 417678182; 503026486; 792639261; 433161251; 948939652; 1020645891; 912137567; 671968046; 268543972; 462402225; 296809834; 948209665; 1053313740; 8836571; 1004965949; 593684918; 997269066; 483621031; 1060065574; 786837269; 140863777; 389824552; 1045524171; 153088249; 430027334; 64755652; 817902809; 286828384; 506121984; 576273429; 849889240; 214920000; 498174079; 760004976; 1040534813; 837105226; 736928262; 519279842; 221005199; 234904358; 504962620; 277148172; 674219254; 1050518813; 915055241; 1010290956; 614603074; 244408102; 905322560; 421121007; 916123727; 209584482; 1065068699; 51411101; 920540698; 176271403; 107508278; 394117423; 605768290; 809210423; 1028878426; 935563209; 232656082; 831023019; 840396869; 482121415; 93434793; 422057543; 102819546; 398441015; 808634093; 403627784; 217162192; 66043506; 332687992; 892474384; 568198592; 369020423; 228188120; 384706683; 928353174; 722681406; 348364770; 288141328; 27776860; 1015982190; 648293071; 109359242; 771242684; 10461361; 683512829; 891814427; 983056077; 666415204; 385773172; 934993717; 958662155; 297108181; 1002586270; 782876359; 965482194; 551347237; 333257337; 670840535; 295861973; 486776805; 263879954; 438221968; 1035844094; 640232047; 1052028905; 256626674; 285264109; 922073740; 696788052; 1048461416; 386165250; 508443652; 204567596; 80137023; 1045716884; 616606049; 708423467; 342664170; 1052340652; 732731476; 161215594; 73174179; 308332364; 1068427899; 692934853; 949386639; 794605480; 530231861; 250935805; 591477919; 251388671; 379269648; 933904783; 321703956; 429278623; 368469196; 923365039; 796918874; 378223423; 813489342; 285759974; 560279068; 304460092; 1041868402; 481809435; 696127781; 1053685067; 93625630; 1014476490; 299976454; 843348654; 186177773; 1034726293; 926803605; 198282601; 173049733; 969025743; 833154122; 96180637; 536763882; 529675767; 499263089; 1000137953; 359054360; 566607224; 430930199; 713985971; 1005059581; 960674095; 168429014; 606379615; 1020096656; 388928172; 593972494; 43328490; 321677685; 675400179; 29502029; 963436362; 359146293; 915827323; 693263582; 463185753; 466092350; 482754635; 416355819; 503755129; 733563080; 1010217792; 847388940; 214817950; 736368189; 839790001; 1030325254; 791857079; 771079240; 301921996; 555081996; 644058464; 1014520091; 625772295; 584054005; 839678750; 996487033; 803437980; 588133033; 784830538; 989609366; 803554837; 817848936; 904961207; 786407737; 552842196; 262659050; 447121371; 966446503; 558010851; 435606471; 286759014; 999066836; 1071382422; 830717576; 519931935; 1039311858; 338448048; 508835682; 707615329; 678774723; 597556929; 857949545; 323020783; 770628291; 806047102; 269195986; 473708711; 458541632; 712249515; 966194735; 260042140; 586281272; 55358879; 628607385; 563020927; 1002749153; 55945993; 1050680782; 387457218; 83524415; 376839991; 1001507779; 650350105; 1068764650; 930051103; 70312366; 916433443; 635481169; 996326555; 1004832098; 543774171; 668566311; 262699302; 212303310; 1065479059; 321519344; 325318138; 1072974951; 676901070; 953205809; 654899448; 695079228; 738884463; 246339391; 264891720; 544242867; 99090325; 1031721096; 316485526; 490759210; 244021888; 1044771356; 845980410; 597147746; 872246283; 459626974; 238948208; 462145989; 725301215; 205634308; 507901979; 593297341; 901812056; 64888142; 202699863; 565107473; 166534641; 850606471; 728774262; 159183960; 226081439; 1053982588; 255623101; 862944118; 384277193; 450742649; 786363974; 587016990; 778024635; 40352094; 301409778; 514149691; 216829848; 715038627; 385161526; 211963700; 521887405; 872298848; 644249683; 608266274; 1071675674; 205989070; 763893534; 427873340; 1045983576; 122485353; 946252478; 969108291; 745750083; 771022469; 272590618; 966403676; 866694894; 404731833; 594023053; 461278402; 1027702662; 937792890; 91548211; 635467461; 910060709; 92712899; 62149068; 131288598; 521727413; 189255280; 80098341; 374277595; 913661565; 291595613; 140797999; 860957256; 1051978594; 515870660; 293859329; 393848232; 239693788; 69907; 947263919; 597685764; 834649963; 16078294; 642195878; 535240333; 33573878; 421092725; 1012893056; 64080678; 553452645; 243110442; 294818698; 946819172; 28485613; 912122078; 1000501368; 586771565; 820040691; 1021070105; 968378271; 570008555; 373839082; 39224245; 220122144; 492347276; 65053290; 618238208; 438951079; 272940472; 368690082; 553165271; 983869292; 738013967; 411154910; 102166724; 163094681; 115719814; 337395087; 196759281; 803533395; 907311780; 71269624; 1013241632; 457669033; 788177886; 461358950; 765601694; 958618803; 180169121; 775441965; 963500237; 850379901; 213476432; 668007558; 155849947; 285627933; 579274444; 514479393; 706223230; 1013623611; 851782130; 736455845; 890575317; 4688745; 861112381; 243197772; 1073585456; 834696560; 659196976; 253594068; 412482347; 1072028228; 60497811; 373015559; 982852266; 881464741; 649730581; 931198700; 806073761; 860299570; 144849247; 801914490; 229308220; 319527719; 112657413; 779296795; 468396668; 658177983; 1052194911; 409801500; 440887365; 64784294; 922784089; 82000887; 851293850; 443710141; 615096098; 1047019038; 1001427485; 356004948; 87833000; 602884871; 697295438; 369215099; 1059939898; 425297642; 985401329; 100269683; 900967394; 302088110; 434218656; 917798066; 600368446; 627448146; 699003999; 952794393; 802071372; 1034610584; 522333171; 1022573758; 221455538; 226854860; 582781259; 956625331; 409332835; 801918424; 602114398; 663662255; 664122908; 119109171; 9038737; 495549623; 464348255; 976050347; 926398266; 868522279; 897398735; 921115838; 689342765; 487263643; 589656793; 30188177; 673826499; 1000500552; 759413579; 581386813; 673937415; 649379012; 941158583; 298613786; 67182300; 136153014; 682666443; 251074775; 1011744256; 286179510; 848923239; 694010814; 202505229; 279701709; 952752020; 1011012898; 539327382; 190116095; 1062410078; 850205573; 795812590; 1072529072; 76082574; 792824784; 577034118; 170453779; 633277470; 880362925; 479475552; 817940842; 933469787; 179477944; 879153201; 902411280; 887979703; 789420504; 467601944; 355915031; 467619409; 703523306; 885578410; 387685723; 983638850; 857891947; 295637886; 589970094; 704007742; 538775091; 947667335; 889906133; 867755760; 798534047; 916302479; 214672629; 859245450; 284284934; 761788064; 55826706; 566690210; 156670059; 578241654; 766762114; 609242419; 27389499; 27278028; 1032575963; 884772865; 906891042; 30968389; 717318090; 188043203; 291318451; 893634128; 857977530; 651877254; 415453455; 108530908; 548302021; 246469547; 12485477; 269661901; 513936296; 435262359; 594795520; 832593834; 233209088; 573900886; 919897424; 1061697915; 594253138; 347393137; 216591012; 738003768; 747164889; 1069399058; 1010219736; 971778617; 1055527970; 420554534; 533703218; 180442403; 857117833; 663128148; 235985958; 805911183; 805811860; 330208919; 47719276; 19541204; 594994139; 78251995; 440664887; 580077121; 630519588; 380227288; 62077993; 263437582; 42499648; 244479317; 706331033; 69847897; 506741005; 729474234; 23753289; 751887456; 212732284; 119172295; 919867875; 590487327; 1057408; 6927967; 783028186; 245818305; 355586655; 233263336; 651092887; 320026798; 92259588; 162789500; 579166415; 918781606; 132845302; 894782773; 846716736; 96674822; 291635518; 801276661; 1005652853; 186332264; 464759449; 324918254; 96845613; 379360135; 815417077; 292754465; 277794768; 167065726; 155358060; 150866529; 14754754; 275936041; 247889436; 927135416; 184240983; 1058097370; 114177707; 494434361; 668470125; 877992934; 190993918; 118778249; 303727095; 830458701; 462073176; 958106968; 37076537; 416149574; 848888033; 77346094; 132257872; 790070074; 313549189; 1028474380; 119866864; 332470324; 159551572; 650750952; 307649761; 501325596; 535884763; 180037296; 632578477; 397629957; 410261557; 831865505; 891939985; 116983129; 191805826; 144910283; 1021861832; 279384005; 258997549; 619713564; 689501642; 200274465; 141748167; 952856656; 53431410; 1036207100; 308162574; 468829885; 534013007; 216291699; 1021170297; 890638422; 70844270; 689306629; 492176275; 841632136; 15084638; 117217647; 176715629; 21132590; 78962505; 73304001; 172549504; 372234308; 995182998; 164738659; 851730015; 709116175; 829229092; 544590918; 312658677; 1015700820; 517343113; 860973530; 477988643; 885386011; 904535444; 971679170; 845408085; 558766145; 453720181; 719751782; 191220302; 1054733670; 680447064; 878950912; 24007137; 172932208; 311180193; 7173331; 310265708; 95505601; 178604931; 464855618; 382682317; 878902815; 796996771; 310878420; 1060978112; 144746569; 647325179; 319105106; 1001177967; 655792380; 613804103; 494053910; 261165653; 945661564; 552064192; 79379849; 4082780; 909868529; 809944382; 851362540; 878639130; 853531388; 974180796; 786520899; 272800600; 199338901; 278676133; 423112628; 118400405; 552714846; 651821678; 986809893; 408319374; 422051353; 59460419; 723595815; 322581923; 538687270; 250212992; 545840518; 690106684; 635573130; 890995508; 613285835; 705298163; 527146071; 747494614; 188863009; 267598996; 925590566; 54425469; 252274775; 771975913; 601569770; 883666508; 1036630255; 450915393; 672205280; 539864302; 1063380692; 399956401; 198954132; 378872166; 904658182; 999927058; 917169560; 521137245; 131167002; 970683802; 611983867; 927319819; 152728355; 591315357; 451041357; 962897063; 671069148; 547972794; 692286694; 514670439; 871862361; 576279082; 225303470; 129882628; 295829793; 872489112; 720235153; 68903241; 984031839; 998714986; 1015400395; 813817099; 1028056973; 185376830; 655553520; 162979176; 402085037; 281669619; 141751396; 331962872; 77784792; 61789934; 963031108; 7440592; 809138374; 116681570; 969286819; 37947808; 565692190; 191875611; 979182420; 725695107; 108369903; 850823454; 1030194235; 98250782; 276451121; 593126232; 852775962; 352979791; 580253328; 107572215; 698840888; 278888620; 824326580; 1058114630; 693406633; 218013048; 542798568; 367934880; 299964437; 562045425; 282413798; 444524607; 968759940; 22353354; 939855614; 291293989; 1072782846; 820309499; 547211884; 405943254; 71024776; 749715524; 902999891; 991431915; 356367967; 737524050; 78979037; 367881287; 777364889; 354144329; 287938369; 607871266; 754173947; 469820534; 995140781; 319987310; 579189621; 812677988; 935382138; 1040150471; 218403697; 518621213; 156581200; 102806909; 188933650; 659021837; 894968654; 860791338; 201790999; 902993073; 558483486; 809948926; 638936162; 178962600; 89233226; 812016439; 370714057; 322932597; 183685442; 838777175; 53160280; 1067091963; 510429070; 195802018; 481694600; 20074373; 1065844917; 886458187; 501333953; 951429026; 136269007; 36746442; 701735787; 523372152; 478316540; 795939588; 511074076; 747564061; 49426966; 428105706; 494963012; 544152915; 548194888; 470142956; 704073163; 598201788; 573472479; 68458749; 920846030; 44124168; 730454614; 868877345; 983930995; 295078025; 920623717; 932963067; 917537264; 828677771; 854858927; 27440229; 92115543; 1049273168; 828581439; 62406903; 274427993; 440791758; 284906917; 554027070; 519733597; 423563005; 200798064; 635543710; 34789939; 60666658; 963651820; 994970588; 1046184513; 805260429; 80009733; 831701287; 677230930; 721492357; 822139538; 732474622; 90455958; 724963985; 753424390; 208739827; 196147750; 828604793; 655834168; 814880380; 819232100; 32482825; 930531743; 772703413; 147416442; 149550282; 458708883; 638296512; 821579900; 928423038; 596314427; 816411670; 616570671; 815798886; 392061938; 522818951; 276158038; 705293218; 275100819; 1038139695; 750073459; 730334999; 5364706; 750298742; 106844171; 224660715; 660169938; 655422142; 257239832; 149329545; 966696454; 59082082; 900324808; 368634791; 824286716; 1013896001; 891796931; 333275813; 760892463; 662454925; 590969406; 86104911; 684609833; 449124750; 452400506; 305439154; 111991530; 88281146; 882153439; 81720854; 106374558; 176354747; 239595329; 303440970; 319736517; 1031889939; 374005886; 1047953279; 176450584; 1011315932; 187933275; 506646048; 85632058; 821048974; 367743530; 1064577513; 1009291683; 283779874; 246978055; 175088003; 489359789; 1043200144; 826124266; 551703507; 297527205; 136233913; 1034577962; 824337232; 46344396; 515003245; 354548728; 428627699; 1010026930; 315433382; 93115669; 125160020; 664911323; 114049365; 198911140; 696996431; 287602816; 448320596; 761985999; 1052243824; 637227833; 262201734; 341351312; 16760676; 436414528; 442025266; 875038696; 407083050; 340382903; 808577592; 236393021; 711235180; 1061090126; 421841215; 216804763; 853568796; 202407269; 749800162; 935375381; 120689788; 1041109241; 1056680277; 93061461; 677998751; 253684345; 932149470; 339436648; 222054439; 906341056; 572740281; 866560765; 1008683195; 235520055; 124093964; 718983602; 12989508; 223089670; 743549404; 585404124; 494997307; 518325763; 217746395; 510335402; 2929512; 432139751; 760153343; 47309286; 791133946; 926225498; 935540632; 345306401; 70903458; 598089735; 791677846; 90465572; 765707282; 38000623; 374211809; 18141135; 606087845; 530374574; 179643579; 793168051; 795175691; 947478607; 516575680; 882148090; 821472490; 681555259; 1016879972; 629058621; 390790444; 166389199; 600110992; 527146820; 721132095; 441081120; 1038356886; 1062151485; 1053668128; 1051687935; 202430176; 259111883; 124334037; 544096857; 71740219; 947336824; 847805949; 674428662; 883020748; 648026165; 171252190; 754736134; 719927200; 997602414; 651138469; 989290363; 178293415; 876211755; 301417553; 466512617; 503922019; 800041980; 694703664; 348788830; 943778976; 1037365306; 59134177; 396938906; 129040288; 621297009; 106815544; 187663233; 612630559; 235012660; 148811553; 227784949; 907845059; 789542305; 269351370; 535378785; 159378606; 160184961; 121503002; 1054342711; 405255047; 102516637; 286240563; 626326384; 652924236; 966736699; 889182677; 647238624; 579921407; 66837996; 566571856; 845892928; 835108425; 363668474; 257149748; 1062452088; 1029015349; 88626512; 287577984; 63668456; 469560585; 145711298; 806509742; 215018924; 117043570; 92197712; 46778662; 194068166; 815184578; 528180045; 854471733; 825252790; 816058292; 553083318; 1066761171; 221067130; 654287166; 52576542; 915585132; 852409971; 275267884; 434926170; 79646262; 135069231; 301792932; 74142443; 384819060; 338032833; 406782212; 570815081; 109135856; 270178698; 815925553; 711840447; 654729773; 835621138; 567083639; 664380899; 362769777; 246363510; 1027025172; 294636879; 494046626; 1061388406; 497021340; 7936761; 495854260; 214049094; 95831752; 654884624; 62038880; 125752449; 818740874; 740834129; 903289314; 676054270; 737810187; 839597023; 157483674; 179282553; 301263358; 21692321; 797950174; 168294504; 368607309; 111591444; 997377739; 221033202; 738353941; 473197853; 431782879; 362691208; 150925248; 153918192; 51007528; 592520581; 367215570; 863177483; 23853876; 7808453; 828296042; 893356958; 159659885; 861866070; 276307850; 82345420; 725149696; 979906284; 454143442; 842428773; 327627858; 511888633; 748190114; 247498196; 684477491; 1022208791; 295428320; 635973102; 272575034; 371662050; 841303133; 603886250; 492781689; 698877781; 493619539; 311888776; 561633765; 329227232; 782972606; 307420675; 755626052; 613370526; 264769685; 256717358; 67881180; 674164915; 220500880; 553877374; 653762468; 31956842; 639673073; 311310473; 715545872; 427160606; 461848176; 831218655; 1041821584; 45204151; 877139719; 312266716; 420902799; 965404282; 59091189; 617948009; 389550126; 7987474; 748164270; 794452505; 883545146; 568283696; 612004156; 329710586; 127533381; 651016089; 590257072; 250280401; 425375072; 542310718; 729140057; 1062509776; 939985411; 985427565; 22191186; 747068815; 582376553; 290835001; 527287514; 562636534; 101281634; 900936865; 634726271; 1022799243; 284987504; 956949562; 708430886; 416448446; 957266371; 110030000; 283354480; 1028609806; 28688904; 375360802; 356407731; 222523304; 329113355; 288104971; 465880638; 670238900; 281882979; 181578322; 238744133; 405364415; 54288946; 1072043044; 644140406; 111055962; 396366078; 13412261; 25368920; 103243624; 783989428; 1044823672; 909806323; 619449123; 750235093; 60475312; 637411983; 311472572; 631028131; 736919271; 894410878; 495707462; 512526846; 129186431; 848919057; 662228235; 190072536; 586206202; 175375177; 810094382; 611224730; 1033272184; 714914141; 790413327; 570776453; 1060232988; 127740800; 297955788; 606649277; 39281444; 432468653; 202217786; 664511406; 560714257; 697745660; 524215299; 1023362767; 986888293; 760572579; 65490665; 976727742; 930571352; 725300559; 826539906; 176220604; 558389334; 45051861; 38364282; 173908212; 144796939; 568207595; 934519240; 794790961; 421837542; 94687703; 334187239; 420054259; 761063373; 332411998; 795847085; 284670558; 719703364; 152397368; 906995304; 455661347; 78554242; 641951970; 276221019; 703599583; 1093738; 839186477; 20712727; 820914546; 403849619; 583158643; 307182671; 1017557277; 365146325; 984677527; 135813295; 384291094; 259467679; 510944066; 684934079; 743791673; 57684894; 137512561; 1037368206; 377632623; 933602324; 448245743; 1039294051; 477949287; 340872830; 518112928; 410274231; 1045854748; 538952840; 70849687; 162006738; 57639869; 327680702; 761251433; 710780811; 710611255; 288861900; 150282972; 1055427194; 307573108; 137372597; 120466722; 306755464; 99219508; 954677619; 303468091; 381541919; 352635407; 861182916; 930997543; 48430996; 1042710315; 72399076; 588545126; 196978397; 46934375; 294409251; 914343170; 767480145; 990443643; 210163789; 1065691944; 309154742; 656234411; 603031556; 352532653; 228245423; 847170824; 726375488; 261146850; 380298323; 896676189; 663153171; 218566502; 663144021; 182375982; 1041133352; 971092524; 273538672; 163615796; 358558286; 164411376; 25448956; 125498034; 967472441; 1048384492; 424295418; 969043852; 705817659; 305595523; 999076494; 884724263; 264255881; 526218885; 545833087; 956172626; 531304266; 862483026; 154164289; 499695063; 947112053; 629216314; 411947800; 920112406; 65796086; 429685479; 29034645; 697902802; 963713736; 744043143; 195905735; 454748866; 897125004; 165112736; 992728134; 890475812; 371023130; 656330041; 429018246; 726953695; 278709189; 525712508; 127194709; 631676203; 250953853; 212296707; 963583050; 635521544; 468715696; 757088716; 558022467; 726329668; 292326498; 67357506; 875241306; 66501718; 49068540; 20237987; 164334769; 996586700; 10279504; 347630283; 398731002; 19451342; 782514297; 657957553; 980330944; 928398967; 1050233311; 1066056346; 264250901; 810292261; 253237232; 1030972894; 208338083; 276354766; 155427978; 410010520; 260434963; 115145721; 864573644; 864416257; 559074025; 1000715146; 814043953; 528950046; 953336687; 1007564836; 46274860; 626141646; 505027727; 76546774; 774648306; 363893236; 593039058; 786391281; 562812739; 9831501; 297699012; 684138991; 391011256; 427881890; 1006583647; 848613859; 116889719; 203914950; 260583450; 442130687; 475808370; 657227532; 334419313; 365400904; 245579078; 812562175; 270770925; 752458005; 73854901; 968890762; 918838043; 519708559; 756516403; 306157146; 776675383; 8327164; 923664422; 670655478; 674841538; 538568507; 34131616; 257963938; 545254184; 565287295; 701133640; 170889316; 748737849; 737660989; 630988430; 360696616; 112863544; 961912560; 637777536; 286113831; 943487518; 895853272; 1058721097; 252718824; 153537330; 971223422; 88553894; 1018090514; 841423740; 560719784; 631680733; 255180507; 308114486; 617119292; 32224359; 1072844877; 1071801023; 775105200; 140655830; 805499139; 895810074; 935150720; 594394188; 1073360758; 464606717; 1039444268; 554499385; 112031267; 48638243; 987651750; 1001221747; 481591523; 205465310; 298289067; 312263421; 853587929; 1065924215; 282559466; 366118832; 119162893; 297217338; 324866067; 801675331; 196394705; 133916080; 932232934; 498428311; 727823146; 285669117; 877506043; 56295701; 648294435; 991527280; 200334398; 849295913; 505928924; 505002975; 400898117; 567009810; 499575964; 234537464; 616985380; 203598895; 903446854; 410501208; 785882068; 724678616; 761236487; 546729454; 13422052; 1027796252; 165794966; 560023912; 677115688; 419608191; 1008166381; 161423886; 864711677; 718274621; 54314128; 599129080; 180147731; 271831657; 489504310; 34552159; 608667645; 18487938; 492302264; 256807235; 13478023; 791790960; 27075347; 838714916; 280641891; 740559360; 208134524; 521048141; 565465312; 298230036; 580868716; 285332973; 842470314; 64238491; 741146642; 841049415; 451252964; 323685468; 250189981; 396947349; 41106667; 416699830; 794830698; 702749796; 657072872; 52647286; 227968273; 568609161; 307805145; 984583510; 501621191; 50559171; 649553405; 465439502; 210652058; 857964877; 262879692; 784001125; 1064238529; 18599502; 652362908; 327568145; 955272387; 767534018; 301211558; 601396158; 833573899; 604461797; 937225948; 1053193066; 287043753; 514078672; 347224939; 183981144; 1025696074; 795624116; 386588188; 65671373; 898992870; 937831990; 538870700; 687772627; 909916523; 681154686; 540987887; 394722920; 302381368; 266474572; 269286489; 891394581; 992876022; 82106149; 225413561; 411549997; 621106040; 350729698; 726522185; 889893777; 743942735; 265502041; 590792574; 238093928; 882077943; 49546961; 607720108; 978620859; 526575710; 729288789; 989031862; 162944587; 259552960; 820719820; 842350561; 1044579410; 891368590; 409664964; 745244346; 149183271; 97757165; 436476439; 765427450; 92273556; 880065616; 1003038499; 966169199; 300038544; 1030502148; 685296715; 623530956; 371136327; 675826605; 95085560; 738060722; 349561115; 648651481; 992520477; 989072863; 486610985; 348563989; 825914330; 458899128; 159826432; 1035288136; 990851584; 909836712; 207458766; 997516735; 625364289; 522462112; 1022677502; 639262884; 515520903; 29152619; 700289555; 260118610; 84977742; 244598228; 723454987; 185916374; 851388925; 189902566; 869211350; 786031039; 190888803; 228991701; 123924548; 654981837; 590589872; 33342662; 468798933; 124037307; 388142439; 957441751; 15388295; 456122517; 808050962; 1064981433; 853776112; 1012364977; 92969951; 663748814; 149808022; 978350737; 715430924; 451445830; 161195708; 325269970; 1030145204; 972516523; 532521445; 259063789; 487549310; 854932148; 598313591; 1007276398; 942050645; 554651082; 109019473; 1030125650; 368485432; 892915390; 713649891; 272540158; 333814440; 632720471; 540847932; 754299207; 690869209; 498394725; 380756549; 134216645; 276799378; 545390377; 698182626; 871988567; 1010259879; 488740018; 13764366; 12002098; 409951659; 585394931; 278350875; 709021726; 411260832; 330938415; 205531285; 931794533; 8070445; 335417430; 603654174; 635549947; 40016615; 481030358; 600257647; 854835194; 1055835912; 276878738; 918686170; 515376115; 325546099; 531272258; 570417611; 800639657; 35897833; 747222520; 980808982; 470181463; 102298187; 668102228; 140169774; 196690195; 300450890; 182027036; 441924642; 989050055; 1294337; 127185309; 794914326; 300132806; 904001952; 270720069; 323170813; 165642679; 513987800; 1042088726; 171067632; 460174625; 440356837; 16981892; 938516827; 818162233; 845238745; 894209460; 633652756; 624456429; 913097958; 1064053127; 802731085; 572627234; 645438586; 301140930; 200163789; 134914689; 693779068; 404811413; 1065817553; 324202311; 455104451; 35173353; 327003068; 106484214; 848903272; 616299716; 991049228; 705366906; 782271169; 157551427; 324499682; 653855244; 675676070; 929591749; 94831960; 204741381; 730757684; 823253966; 9973910; 274051271; 670785451; 1006779218; 81417804; 1004711384; 486712560; 48397902; 82678999; 939720068; 502849884; 1000098405; 533374595; 112297702; 271933301; 569494175; 650249407; 970449801; 868466390; 457946559; 637671407; 775414953; 9674838; 379302377; 588494549; 428487913; 968614254; 184389738; 764537916; 1064218566; 830392292; 759204571; 899626274; 727583263; 402830779; 341447190; 386010753; 416725322; 890333062; 301376506; 786302935; 264185004; 599318045; 185962989; 325500188; 576410587; 1035583609; 86848837; 433536693; 22013669; 1051199016; 222324729; 664041403; 753094709; 900101114; 835451786; 651557772; 124085736; 835216256; 237680822; 545507609; 474955370; 779387960; 378870238; 893568678; 59366424; 597878530; 128248580; 623742544; 161016050; 297538281; 561599935; 85097424; 258242960; 162042302; 323760830; 770333613; 411431738; 968967071; 530087151; 57866008; 637870311; 949531984; 21300549; 368998383; 608928050; 851039550; 704982780; 1040208921; 900374911; 81354066; 742722609; 706960348; 790321780; 974012316; 417578912; 817400813; 230434267; 527841641; 267099585; 519984680; 792541622; 624889846; 645777980; 9986410; 364130493; 843300580; 56305610; 186432954; 847558438; 133981688; 443754736; 397514797; 153153931; 261881666; 534741133; 140904980; 66097992; 708968268; 197054951; 488911235; 1048249873; 139185614; 105236886; 335581678; 205361297; 110056222; 692143801; 502999073; 437518214; 247616681; 79253791; 386952161; 171283212; 761232637; 573133727; 337695125; 670256558; 167266975; 327201291; 695801602; 646563377; 892341635; 410798758; 148867337; 36993123; 211229765; 491713671; 1011457340; 994903605; 1046093487; 99070019; 207550094; 137525550; 890749997; 404061467; 1054553037; 79188007; 302697313; 138088922; 477084207; 964032224; 658748790; 1066963553; 451215308; 749272390; 385449072; 81641027; 213297450; 885161171; 490796615; 814264090; 554935026; 911915465; 995898401; 724055135; 356012426; 420184227; 1008688107; 302732733; 201967245; 965609835; 301176526; 993088625; 332446121; 938467816; 663971510; 446626362; 127051615; 469687116; 441195949; 555206280; 811410328; 575181940; 526720260; 125095660; 221434611; 1025099733; 657099649; 169514195; 620148246; 562907237; 523273373; 827464569; 319047597; 890507243; 683709468; 821176021; 773277654; 705639531; 745065530; 753352230; 1001632307; 703435808; 775142432; 871685748; 994507088; 79159090; 76552917; 717509533; 232149067; 712445145; 422686505; 924065355; 553798677; 667410314; 170532698; 923293348; 205232778; 354770303; 364915603; 181380481; 146907372; 93410136; 1071006354; 412864063; 407223227; 403124673; 118438408; 370330317; 780740478; 1017219674; 785901603; 934309297; 822303928; 162216551; 510549491; 592718891; 1062029813; 892131011; 76481129; 186676960; 231110705; 13296855; 107419911; 598060010; 807280316; 770886851; 597440076; 390538813; 947131327; 1071780002; 22180429; 472555608; 205538635; 108531043; 354605949; 720771337; 231866483; 10547876; 697452625; 333148499; 278399228; 843547976; 659090042; 275820134; 750534595; 960840439; 882829165; 337173139; 311268528; 857893975; 540983403; 56925657; 802167157; 234126900; 695802031; 579723030; 978834810; 436444298; 843674611; 815916914; 725115045; 928532098; 839643481; 97265185; 303906346; 79122143; 653519523; 52688287; 868979067; 737383804; 493359511; 983061125; 930545464; 424327916; 151138454; 359111119; 569084862; 691869314; 134164155; 325275474; 364817203; 235459025; 228507790; 432967869; 68973515; 995791586; 889214161; 1033646635; 874159169; 668235340; 608827869; 954133536; 1035866799; 296857459; 287532544; 532848082; 1030332916; 55345281; 435011606; 559445220; 815329902; 985808225; 328756996; 255919506; 240267683; 525165705; 726956152; 753991452; 1010671709; 841831707; 592111590; 866049101; 605253449; 85325839; 25682678; 17437206; 231708910; 16218285; 9178867; 158091854; 222827435; 120139260; 151179298; 331202502; 1063199420; 163966695; 989533196; 406499030; 816564470; 151567457; 819043632; 436359599; 263420390; 461968327; 929581883; 429084730; 264333354; 263668676; 865565531; 603600861; 332263430; 844494208; 57548236; 619697412; 294984993; 299554798; 662406796; 557100745; 81713213; 864444076; 382468825; 860679743; 882830208; 294126809; 724383456; 786033000; 247698036; 293579656; 982713827; 1021974085; 288618634; 487298858; 304146567; 637339392; 908855088; 960867517; 671060342; 714313355; 793466176; 235127077; 54134572; 104892504; 721669808; 808387074; 375682353; 415356533; 800178022; 995602206; 927863149; 174099605; 684488527; 913104666; 794950285; 746898346; 732919658; 1051846380; 412074367; 569217987; 1013273538; 111818520; 544499818; 182758777; 447105374; 1036149300; 751707227; 69254318; 696222084; 624629370; 152517685; 222094239; 493455892; 331280748; 277866825; 838292618; 720274116; 944149797; 933429490; 278798657; 377254478; 848392839; 419385463; 774928385; 458566490; 732110703; 189909171; 866308024; 496395856; 825376351; 611945320; 830631180; 73899890; 795888766; 431244384; 680534871; 1069397334; 940516572; 55122998; 876531257; 662458699; 990445427; 595457668; 773620800; 1019602649; 1057957154; 1050643786; 308024137; 52936034; 77028660; 833800470; 364784986; 318443889; 183797152; 458769372; 120764703; 468702658; 490971561; 511698286; 605032679; 366111175; 478598039; 650041021; 930530674; 419058361; 772436129; 307069931; 616618814; 477295197; 298593778; 526954775; 902044826; 1003016689; 650051790; 441827074; 791218872; 745987208; 279449796; 234656178; 1017873473; 411076058; 768823079; 143767254; 567165625; 849398599; 234872071; 958574323; 255271733; 717806300; 912048718; 561912419; 229318300; 11579578; 717822170; 923825455; 5937061; 847176653; 495703879; 124897569; 896506461; 790912057; 463288008; 499111558; 1029478521; 161733073; 16455800; 77849476; 380775749; 235873706; 717993782; 889258310; 20053896; 172497339; 71178734; 262295001; 1037869044; 753458335; 712788540; 718036084; 146187996; 815641720; 525649288; 485123755; 348333752; 968418005; 358563441; 626728068; 254468091; 83561895; 700903503; 260581228; 623946659; 284642128; 347860503; 806507989; 561568318; 1018639749; 1057874225; 437632769; 854478469; 884126155; 1037207629; 214655967; 555118788; 90926842; 955208775; 20094864; 640400069; 334629125; 820471654; 378810410; 907296067; 447635395; 730534974; 474689408; 597502272; 72471456; 71613109; 594839442; 1009985545; 850293778; 929470791; 633504864; 567391877; 968782312; 168420802; 875394071; 593172506; 95080725; 667274623; 346348638; 250122621; 511825027; 1018523500; 572058135; 810334480; 88907219; 17211100; 216516614; 182778928; 926654183; 518763144; 485362967; 459428180; 261098560; 764401434; 576565344; 77181489; 339040899; 433554853; 406245175; 375487950; 670255734; 882188143; 78429741; 197999782; 872581677; 883913730; 379531623; 436408234; 275175642; 833844275; 502933710; 382314952; 316360595; 229435363; 352078703; 24846582; 828809392; 439868074; 491121504; 212921649; 77358125; 50957653; 76139202; 412273549; 321794595; 750127428; 542794995; 278564016; 458797664; 524882078; 353489861; 843609915; 744253315; 5516059; 528998722; 283061892; 385248020; 877715283; 45505930; 384398303; 100063167; 201244479; 794509855; 834746587; 378514492; 625238602; 779648413; 472854637; 351142364; 798177307; 699539377; 589778674; 597318523; 463090342; 984789880; 388358193; 51979226; 725111306; 42500073; 735046036; 167425992; 901357100; 368522772; 554978667; 659770225; 1015736154; 989024703; 302759757; 699978996; 470147806; 404896423; 244210986; 90092397; 919686813; 890089091; 291217851; 249743226; 383625858; 324799115; 464654120; 498818003; 175974653; 989501764; 1006744079; 748041294; 32373304; 991360431; 593222170; 618528276; 585556941; 400931433; 567657976; 56064226; 411081380; 1060069226; 999150879; 378158602; 807553018; 531078641; 730840847; 1066798536; 539731798; 125379589; 322087078; 776551015; 706140237; 817922517; 171900648; 587469617; 418108127; 465547870; 881454017; 145680324; 1012642850; 56900961; 316015890; 339453524; 755815284; 495677323; 44053022; 379205038; 712950278; 145989562; 638576161; 651497363; 750782220; 256916865; 747634745; 177620948; 456064439; 882988312; 753435435; 306326581; 32945594; 317352951; 325056412; 627603183; 112185101; 1053195881; 743165930; 280711914; 756128386; 526523206; 331456968; 1055601194; 968950276; 442408679; 390535006; 380741040; 346644467; 253152936; 161624672; 805977094; 32369504; 4197288; 927892874; 63174754; 696633540; 369602249; 860738353; 160238397; 192042148; 762539312; 616911851; 516851785; 9354057; 435717299; 46185511; 756649121; 401311455; 51467248; 230882924; 231853206; 737637046; 899163546; 719075349; 504005949; 100487479; 1041338523; 934281024; 954760380; 326663650; 686838848; 687768607; 801038241; 880079536; 399843411; 96261839; 29817812; 589026829; 91736781; 350993230; 649492031; 607710335; 427581571; 860508880; 538924569; 380989195; 878779919; 212139822; 525752328; 842633642; 623274782; 863989949; 141805471; 272212867; 212299272; 968444043; 778507396; 794326754; 136127784; 190596771; 6955545; 343771899; 1024637754; 142539247; 572612474; 524367504; 824253514; 474711499; 130019501; 1011011972; 252569309; 874237603; 189480365; 935270267; 706431861; 673972142; 124397155; 185171779; 664305912; 782442592; 536279134; 465745062; 678730792; 680100843; 481787667; 190340045; 377580004; 508657065; 274527882; 166142538; 341027995; 105155789; 848943184; 798775371; 889283526; 154362172; 76071354; 346502421; 409230241; 135190976; 1023130358; 259206030; 837228193; 665326445; 269839004; 90571066; 872672555; 337051111; 332493491; 5094807; 598162430; 378630352; 140024846; 492367545; 585979259; 300067258; 782055083; 472751074; 73585349; 691225019; 954469899; 144309171; 871535159; 346314141; 169204097; 934832584; 926497700; 264016947; 569289547; 957766966; 245728483; 279242566; 633701438; 39142545; 226231735; 110704577; 293784868; 207580925; 802139628; 137422433; 996641891; 864884674; 844569260; 134319852; 745938187; 797144943; 406364362; 632311065; 952626095; 516387326; 510313508; 943418193; 524189977; 91945122; 588392071; 74546807; 124011007; 733648525; 1043282996; 333772442; 610534928; 874955363; 243817753; 722846390; 206396518; 868086769; 391585822; 497800026; 372293128; 825395488; 155781536; 224708086; 926883242; 306030698; 157628593; 549697230; 525570225; 705400538; 558552472; 311247083; 712020174; 820501641; 654789945; 781641095; 330105811; 432507546; 11922208; 346524574; 976948148; 238798644; 611333129; 599514650; 520570711; 536439467; 911809936; 666746086; 54960448; 264149877; 281922124; 1029912906; 88019454; 348739274; 765483889; 885610206; 348643291; 406973519; 462304535; 20391327; 1065904529; 937871345; 720794336; 677860923; 267340901; 796548470; 103017632; 145039771; 884264310; 107030722; 40966090; 98701965; 971134778; 950449094; 692949768; 779079457; 312887445; 943797603; 331160573; 406473161; 895175250; 698473059; 191497148; 135235135; 676051938; 944075995; 369498825; 497960920; 827909733; 365368402; 203297785; 1040089631; 210492793; 742281909; 752460878; 750981253; 66003789; 388875450; 54721715; 137688221; 131807744; 479330594; 250379811; 653737102; 255438772; 121425004; 754402264; 943097590; 212567864; 291425350; 883975864; 605591994; 314835025; 971664295; 1070795420; 1060090009; 221666210; 394111775; 264398821; 270653045; 940822005; 680534564; 317689451; 711913542; 838213662; 329463996; 679804977; 864063603; 160056043; 752497389; 204481888; 866566745; 12642606; 172158924; 439869053; 856912375; 944440236; 517181750; 194155937; 584118700; 439745338; 515474144; 15839713; 716697199; 859822391; 949246858; 40349692; 488016615; 284323195; 862416759; 293608131; 863567947; 576357729; 830384481; 497462428; 207050848; 417820310; 429331363; 262594364; 527110039; 183029927; 635745866; 336299373; 812943043; 222360639; 1008758412; 1026349497; 837672167; 9167493; 995445226; 808642123; 450697311; 577581126; 858915967; 279866403; 514624799; 982609030; 621908824; 964583275; 855056748; 200208557; 339909641; 618687836; 677255011; 318758257; 877118512; 737589632; 1052101864; 146645367; 7538533; 466041368; 1044602317; 1062528809; 408862182; 149138955; 874743722; 610075832; 504958918; 144634538; 657393019; 98458444; 178292979; 41980702; 466801468; 926007280; 288166331; 758528741; 420962098; 739903268; 541374539; 1001393263; 373462484; 264148664; 940768618; 954997512; 294168981; 105031191; 996979949; 451740261; 136742951; 3155774; 156162641; 249264481; 126753639; 138807683; 418350337; 412220108; 897912279; 499306724; 501941118; 941867136; 205880122; 725417834; 699924235; 612575401; 707362420; 304608; 483353091; 662739007; 817342012; 877688608; 704489751; 555671666; 730227509; 1073300767; 446293325; 633781325; 881769975; 6352609; 785963693; 354332660; 837416463; 864001983; 547715582; 355340363; 650837071; 715504252; 850926011; 896193357; 996757171; 237030386; 823672700; 305324438; 329349981; 128725692; 42662105; 110775533; 732276542; 976190706; 221194705; 687397915; 191094657; 343487324; 830084078; 773442261; 486142499; 873856501; 554566222; 952247808; 941238415; 316308945; 623955460; 709584140; 549557525; 630251819; 451739164; 557870290; 180466371; 516598203; 410342724; 601429212; 326560127; 715412932; 94153238; 1033071230; 642249117; 543851135; 206353123; 195314798; 923009566; 459793294; 658250302; 545873665; 718004172; 510870794; 656463059; 183607077; 1058945582; 917109106; 923328992; 916720318; 437557397; 219204976; 393783981; 518587307; 379546353; 629026662; 672107415; 774318501; 1031944709; 236698068; 119341178; 294020915; 601794699; 707092965; 362877214; 178009495; 297782810; 559712696; 805694127; 457573878; 461539725; 684340636; 823660001; 1013725147; 426839288; 520063626; 90500452; 816482451; 850996418; 5772188; 580656933; 892855429; 416472037; 73291419; 297933364; 92589479; 882684934; 1050488265; 393404995; 1027333225; 403114227; 85704944; 249288698; 837509743; 1822146; 419477022; 814771944; 400128033; 373607946; 538972022; 849873448; 386239393; 338599783; 487137350; 832696355; 464362580; 626671930; 420045821; 550054074; 505116180; 803262231; 298572612; 394720832; 180298695; 1022699695; 381517012; 39949769; 825417715; 409638316; 814528601; 218392912; 989050646; 633478739; 528603242; 548137597; 32299959; 437686763; 944728758; 493474615; 1023015278; 937916384; 702865103; 196617695; 544689607; 813608809; 764378791; 1044770312; 961028405; 103925315; 968989565; 248411991; 169862847; 166538851; 116262719; 390292892; 890319306; 958171922; 660084759; 506220425; 299798781; 650385422; 252603335; 440839042; 949679720; 723079011; 527675320; 76094198; 811841530; 822465017; 156488517; 656909637; 736063905; 1070717093; 722676380; 699214756; 398953841; 388895442; 279381650; 330865023; 755892792; 1073096584; 335971302; 599964698; 626821949; 878396500; 515783164; 978976079; 566127651; 370549820; 469329017; 145100642; 1030740356; 440265915; 758078469; 420924801; 752568729; 915835616; 8691732; 62782690; 649483034; 671471471; 692764470; 369489444; 907326704; 371311056; 340614591; 21026199; 349410038; 373817172; 220347851; 308419740; 709560600; 671609359; 590525433; 119615299; 619233816; 986381833; 834638461; 92877010; 606815714; 314675914; 487188080; 467517848; 407406925; 446771616; 142238785; 589533804; 238817523; 414497916; 830815532; 1005559926; 909114872; 973255097; 445526702; 319669424; 887917851; 551473558; 805511708; 255328227; 613949283; 498500336; 609152159; 380089407; 290681222; 705072054; 707302188; 658495966; 776565310; 26115158; 5583267; 640877969; 609559962; 496785783; 804278667; 215326593; 148302671; 740848674; 717086368; 509626950; 13421687; 1052456585; 635484346; 97757735; 826093536; 806544134; 825067931; 1001891167; 359958928; 132980677; 269921919; 986640312; 1040476118; 587414208; 805961751; 385836973; 726190048; 194765442; 524944762; 711971817; 915618722; 940691579; 241413561; 741359978; 501986479; 80800261; 657361605; 1033305655; 332025779; 771506912; 606705297; 1371953; 307212827; 914403617; 279312296; 6034666; 746066417; 386543895; 1037054967; 705401622; 622862064; 498291055; 526908534; 489794709; 660661205; 910382869; 996824861; 902351487; 626435942; 503501355; 607538594; 932203636; 179824828; 366543391; 853767650; 937746413; 148322199; 493397726; 994796143; 20246558; 227093153; 493829052; 139043331; 51207717; 392732172; 832560107; 422119469; 468575600; 431982155; 176604312; 184761108; 1022196729; 832455472; 585749527; 8349815; 119371503; 317428804; 387574714; 285074912; 371563066; 167929479; 858360072; 851797884; 749991878; 13706531; 505277158; 159217850; 377696440; 201074246; 671639315; 886431566; 605211049; 291786735; 792389826; 3504996; 376385536; 1043008047; 97375701; 110351834; 115653826; 396233310; 432823195; 1029723076; 830227811; 914819934; 960364600; 111984961; 151928007; 119052873; 752191551; 758238628; 919889414; 910465755; 312871251; 415309018; 744881866; 782065424; 239963483; 826379076; 470435695; 1036586528; 220961113; 639107234; 153271511; 416552038; 394365102; 558920915; 568284370; 896167445; 193874949; 457769910; 261911572; 795445080; 332668070; 570094404; 705524976; 618848617; 151667371; 701493485; 366450405; 417136820; 280389570; 248313298; 373525280; 447425863; 672627357; 311836343; 300342264; 889600739; 807629614; 9832990; 741848976; 335317029; 543540986; 1072646630; 485631404; 675160349; 935288494; 182742954; 679928877; 567753363; 7329756; 102421596; 283647075; 559194996; 618792772; 893201672; 939518972; 844109122; 972459957; 674735806; 916285258; 736588175; 91307187; 877552026; 916318289; 961384688; 895700205; 685068596; 929627262; 957575411; 229469385; 248517188; 105423638; 59729285; 962524070; 1031816469; 749427766; 276100807; 312845719; 1025601885; 765703274; 600539555; 701957105; 207716511; 254356983; 203035399; 563337241; 622145164; 170681485; 613480838; 826495553; 778309561; 573973074; 504138767; 920387343; 2320803; 950941054; 140418292; 915390448; 449309957; 261882071; 25689566; 656646885; 345545585; 442289748; 821790424; 738139030; 258138395; 1073213197; 589328131; 579986547; 402461567; 919996332; 371126177; 531602800; 226420708; 394623712; 938805855; 965389037; 1029461342; 523889215; 525034406; 520653398; 312481639; 1034681661; 591176968; 662247306; 853709298; 415441416; 1016731887; 37567413; 828017687; 1048605546; 981594299; 247226445; 375079114; 582775764; 1014351065; 345058515; 757754275; 868087216; 157566240; 512951302; 894038526; 723420173; 476584109; 581247898; 292565700; 369191187; 840559179; 1045794092; 150427295; 732980225; 375178663; 359411796; 270508854; 46840036; 107285873; 371309712; 662403136; 667767667; 2827868; 1054533519; 157738035; 63255925; 319589400; 501104285; 866998786; 104896363; 199988400; 1069578233; 247632754; 459109362; 815393466; 201233530; 24921422; 228150908; 663968142; 66834367; 408764652; 920730033; 215553631; 650079869; 476632652; 5625926; 529865945; 392842584; 568350016; 893167276; 946171474; 177860658; 794595122; 945421870; 938503133; 424554762; 16712053; 841454912; 557214930; 368343738; 821999396; 545060761; 345669511; 826814341; 272861371; 320847839; 761848382; 413102654; 381910811; 916206947; 664287465; 738919681; 952307959; 953942607; 524019194; 318234146; 1018800589; 315804813; 56925682; 59048025; 167446192; 468430738; 515975285; 5189352; 227387495; 905006685; 1018315120; 303384047; 194659381; 577514489; 680531831; 949262024; 558852495; 607419928; 653186763; 64421833; 682288105; 958290938; 408111682; 90294822; 659251947; 748629694; 518593752; 523461600; 887169910; 100170585; 989062055; 747289855; 639584746; 448395549; 72514303; 313937632; 661926845; 463789203; 528470043; 945461919; 998195339; 27415554; 987834501; 441190194; 898698610; 10815016; 943485784; 342716142; 263952197; 921006885; 207962523; 94551973; 560899473; 298234906; 799996677; 392551625; 163822669; 122723865; 858234992; 1035618356; 377698178; 105989105; 284056136; 1067510275; 61969063; 548087295; 341380308; 191825102; 204338703; 802332523; 310521368; 341480679; 468996466; 936406089; 347658963; 269885162; 682801181; 37369915; 853216556; 942273347; 543045257; 463892344; 306290148; 653952158; 1013487691; 913824073; 703558087; 354783882; 47567353; 972942940; 977574735; 1060877461; 851782152; 405595111; 444281906; 234376587; 392765313; 714443468; 1072167443; 974443708; 74004776; 993806088; 20187798; 676148703; 187498491; 508403819; 1012731595; 370682018; 417824659; 748135182; 126221103; 325482858; 121884420; 363807879; 518907979; 842779875; 794468018; 247195003; 12348829; 814958801; 1040045361; 38035909; 84631456; 644665104; 881776868; 595141855; 179781721; 482190041; 581292569; 231811503; 486084489; 875997377; 906575730; 375176826; 214354433; 288546532; 677104241; 10179113; 4771008; 31357949; 954640842; 934711188; 202447351; 362215513; 810210372; 756805871; 148405062; 866080324; 264189697; 1047678855; 648276604; 74251471; 816444820; 176238764; 640949516; 520498395; 968462949; 609174247; 639307740; 185287911; 643460882; 76180166; 840695982; 588918891; 925524934; 808142420; 969367952; 757109145; 492957686; 995887954; 732827456; 240895159; 380809183; 510286409; 434019426; 469266736; 921644514; 355775450; 873501321; 755378803; 35194776; 816338740; 289991501; 622731876; 449397071; 255287828; 435114916; 61017767; 174588157; 370086881; 611372090; 175170904; 72453129; 477735481; 623621249; 802628986; 1012645062; 63084806; 853362539; 248377742; 577238886; 556614817; 494022041; 104767518; 459495596; 312005688; 94592667; 832289135; 182674370; 1059072918; 518833684; 964705415; 799149840; 238745961; 841419516; 51104265; 254894801; 589517510; 778596993; 742166182; 462756643; 477235985; 1031579901; 649850196; 120015973; 63356868; 405321104; 638227985; 522805890; 159260791; 235098246; 697946194; 96536571; 852392272; 115744854; 647817526; 1058325753; 569880101; 772392973; 237255252; 307131777; 832358550; 413209960; 635876432; 358859360; 699510976; 91552177; 606831428; 132515356; 350806990; 858058064; 286987013; 1023856037; 551626545; 188666282; 608987911; 778296187; 749623827; 802249394; 866555537; 79431368; 352110930; 193061351; 948003259; 439027435; 902602159; 846033233; 848609085; 741839143; 429528672; 921089132; 376592592; 672526655; 385150225; 6652024; 389262585; 366010858; 748710837; 877942286; 712117257; 709913894; 202693324; 363933017; 631663611; 1068249200; 976503751; 164601975; 38676039; 750664844; 166160537; 378772688; 571485810; 662232241; 254801472; 677658027; 336811967; 877471976; 200323334; 762999416; 945495653; 38114384; 61924371; 764835993; 138761198; 771953648; 427717613; 1030377547; 88735111; 179309944; 1011354745; 158626753; 777656555; 274971926; 859361209; 135101583; 975175471; 973747603; 714639537; 814174944; 838494100; 824963790; 695873712; 540235884; 166596628; 875561262; 1023101140; 591841126; 355763217; 758997216; 80334567; 324867060; 363574364; 985611192; 22498876; 755016446; 492935019; 527946300; 320460997; 935785679; 758488455; 199701019; 77915813; 308455543; 236251175; 947560281; 708556440; 406803575; 454352738; 789472648; 292586956; 750116256; 898677387; 205949420; 526647521; 75933637; 608297472; 302793400; 328927558; 1068200280; 404239517; 696908165; 110847838; 268915722; 165705306; 540619955; 295923468; 618392977; 854667280; 642628432; 771360193; 966890582; 731270607; 517648024; 15296145; 432372171; 521934206; 796221848; 380515082; 683472883; 732235755; 698112187; 279527388; 285829558; 728464518; 588745894; 528598839; 171867936; 681933757; 308286639; 245149753; 837125541; 473986702; 1068167512; 605937776; 580998363; 46629150; 385096463; 678952510; 198009942; 840306876; 1008146803; 625885938; 421663090; 760998908; 526490704; 933677438; 1060931885; 183964220; 338868527; 709397631; 954298748; 362459080; 30540935; 291143664; 3603875; 691529662; 346887579; 561009639; 306570937; 562255471; 156646418; 734194987; 1023925644; 661361302; 333640104; 246917204; 840954609; 981240230; 928958642; 781083319; 753138466; 944224395; 251434258; 681273193; 788961872; 686729580; 865523251; 861158631; 566684746; 470439904; 850808050; 295363577; 399395359; 747969408; 355165683; 820384675; 975916165; 329931995; 158159758; 666677135; 693464135; 774014443; 108692441; 928544583; 68715746; 616304092; 520600183; 957325125; 220755660; 655040433; 940083578; 45366422; 521808687; 49913923; 178162405; 580511608; 376576035; 575673594; 749469733; 651206761; 234702980; 337189763; 345046599; 589898386; 127818101; 68069289; 180797035; 525249894; 808553252; 153972529; 768486752; 774871686; 374183179; 544730027; 693696426; 373816978; 845701583; 772846973; 562778801; 75568398; 470350806; 365334760; 914221276; 793664088; 130106098; 1005055752; 382541856; 717758; 347452070; 234817162; 797110410; 198360587; 150251629; 500649341; 277892687; 141130436; 85123839; 1065126865; 58484886; 713596669; 483518600; 714399654; 278656082; 375519632; 345572550; 460713279; 984918460; 862630062; 635157762; 542822007; 564542307; 757766694; 32877754; 907766041; 577314491; 673671448; 88240021; 952486897; 148459294; 134413295; 796678538; 850664513; 980314997; 705662612; 215099206; 449275360; 726024165; 884603299; 385516542; 454153759; 858770177; 282916534; 360683214; 455826007; 689185410; 402571150; 572386127; 926750119; 159644090; 79026140; 329814414; 21085286; 920504319; 368460208; 496073694; 452249418; 955253276; 570182635; 698285105; 183460127; 78754227; 788083809; 493420796; 800898568; 1050161065; 1046311496; 264513333; 5640287; 81719524; 297759540; 365393616; 393110940; 58879342; 606589010; 219830704; 176975562; 999862851; 398186006; 941751638; 819964638; 347022408; 740628489; 563625668; 291122646; 168989742; 376680178; 494918339; 626280033; 40456155; 811129242; 717783013; 551870974; 1009703935; 257291039; 215063069; 100178243; 170128444; 184714054; 69632900; 678598666; 240800719; 877271681; 132829274; 77631500; 302795292; 869202530; 630407353; 838734402; 930784759; 17484137; 320201267; 431991711; 189560096; 139273931; 4003892; 457421450; 629999890; 420342112; 602137874; 412249840; 547580519; 1005395337; 273250535; 73462221; 122555803; 609349807; 552618416; 363803482; 474100717; 409939131; 551932901; 322554753; 113427453; 528246165; 219909654; 1001623983; 255431545; 852240202; 206976458; 514697477; 42110469; 758514891; 289594219; 702452885; 181731948; 355195276; 210920637; 633063574; 549652295; 764343055; 613285423; 709598546; 603839723; 937477609; 682278239; 612212951; 352417204; 334787672; 169624117; 679741757; 575668800; 316209784; 1025215688; 805151304; 357206964; 731860153; 80749796; 654020565; 783633802; 106188775; 1054960049; 849308914; 238137414; 209299301; 4501838; 583660785; 452190980; 644485662; 641872127; 837603167; 378271891; 609625663; 568987666; 597924343; 48451826; 896985744; 269021319; 679367625; 1030118451; 710261587; 374989718; 249741049; 593663099; 875519131; 44658631; 1005225968; 736042206; 512119420; 122864209; 534372213; 226647560; 367058113; 931676839; 69848384; 937048398; 373363425; 641965447; 260712710; 387469087; 367983046; 506480874; 574957139; 776832219; 850422138; 571764175; 496658290; 912130355; 368254773; 93515237; 51432994; 116911455; 128834989; 90724145; 702980164; 707367717; 663044272; 564031626; 130400369; 46432174; 767562606; 374846415; 466883640; 640959249; 951965066; 837493178; 232556497; 343899349; 77254917; 331921900; 300250300; 117426606; 519604014; 713090756; 19673324; 6979383; 45696581; 800648671; 237533666; 309773518; 1005618023; 456812494; 971309806; 93968911; 647085131; 98151127; 666364110; 478254513; 100706564; 161031949; 1004460557; 89210076; 357390082; 886901595; 678824564; 175776411; 718356509; 1041830149; 816947743; 265206510; 481021485; 1065669283; 558004810; 821589808; 485831847; 1031651926; 749067096; 205102046; 683679789; 716472587; 868285393; 962823744; 271772753; 64614610; 566609013; 608001281; 1057528437; 52003707; 217233980; 828678961; 865992915; 299862607; 73114350; 421141202; 177338570; 695335113; 502443469; 187296000; 801586106; 428312977; 372793697; 633265554; 87420143; 706659148; 663038784; 407562085; 468695820; 1057801782; 837805014; 1008845457; 120906369; 94777486; 996354622; 79256886; 179932452; 745118903; 791400800; 90582695; 22461937; 400610702; 357449678; 755836762; 457601230; 432795574; 438656465; 835423366; 852556565; 381310500; 457501763; 1038611303; 208441096; 842419270; 1019827265; 834026838; 547017542; 462728055; 921025378; 1028491065; 441916298; 1071307886; 619006033; 173978621; 550809141; 425141251; 933621483; 888130464; 657124630; 387279696; 712163099; 792176382; 61275615; 352083218; 154282699; 849719208; 239551513; 974011339; 808420199; 428524597; 249864592; 673068955; 1070475017; 923140942; 844982694; 832573321; 878762081; 386360729; 26506475; 912107151; 705262609; 675280433; 296895738; 418696762; 933501746; 858988746; 1066402215; 1064225117; 788877724; 428103269; 62470353; 405581823; 249264659; 464332069; 597722360; 504043984; 1050584067; 928534956; 879553840; 716291512; 640368868; 205586197; 797766505; 194625147; 149044651; 255306878; 587602316; 365933668; 249826099; 493220446; 265201243; 532236178; 908957648; 473956534; 388315947; 956120223; 550098792; 65785385; 101514584; 729479344; 751739823; 148649058; 549617791; 517001958; 398202074; 142343432; 65053138; 76058291; 89755064; 905107170; 178704724; 824636830; 237240773; 656178152; 958268557; 272305390; 831282754; 1048459969; 383821201; 207487386; 207379926; 958074688; 866003530; 586576086; 519285787; 25685371; 331562233; 726306892; 621253333; 311183346; 369455427; 253385861; 722961966; 851550273; 860317553; 306260778; 741668527; 394891033; 301724058; 872298426; 842793815; 146229066; 794170643; 476957646; 536490606; 673265456; 563447828; 1010994478; 682896880; 1002152954; 52335499; 465681101; 268852333; 109581478; 20171145; 135101059; 658821000; 354928177; 401023714; 9760948; 149180494; 102493463; 17880853; 1047527727; 258204408; 847261330; 602653268; 126164259; 515274020; 66966974; 295757208; 688591580; 483213163; 355461567; 977186309; 1053419907; 472295782; 800967941; 165299676; 419427832; 401150314; 741985540; 766487537; 972050161; 935885178; 705216830; 503729896; 559643801; 356275089; 179985747; 684977820; 586350008; 895689407; 737061458; 685906916; 956549659; 242259824; 35192525; 220366192; 500483874; 1054308868; 289655052; 13570772; 159708425; 237441979; 644933511; 314976772; 987258683; 909774724; 97251667; 825683972; 670258090; 203280158; 376827184; 1016919425; 697758620; 235531138; 653197835; 244392742; 162119698; 1049747815; 1018769246; 741645845; 1034270983; 597179343; 273037183; 736581689; 636988622; 104196826; 230850315; 462551131; 17692653; 869122993; 972648992; 6466194; 618016658; 391179167; 920677599; 417592411; 847333365; 964765363; 151570146; 352048502; 976885547; 234418733; 450853424; 173893404; 677390589; 1038010758; 146653335; 899246623; 682958614; 494432590; 804268492; 377002175; 829386943; 461425603; 772477125; 173657227; 280080339; 1060713870; 739816567; 366768029; 475611047; 951488548; 404851966; 1010626233; 558473305; 909722082; 535514387; 337270237; 710108607; 1001104060; 13765044; 620279803; 699804889; 967511314; 682317756; 118286319; 701344470; 583188383; 464840785; 151245241; 598084874; 185332025; 146352415; 489537341; 545904178; 542363313; 917433777; 808910249; 229365564; 169750890; 563301646; 123157047; 726938152; 784590926; 1019823276; 431483075; 77808524; 1003377699; 44509343; 360949410; 726460826; 790403352; 199754733; 484344388; 290468467; 477756276; 796680610; 149665417; 155880982; 285069610; 271098216; 168792090; 472028968; 302936793; 766266902; 398354517; 516026437; 1053144643; 47827393; 1001186732; 541933388; 550578704; 694356952; 1071788009; 683958741; 749572859; 839555299; 978502462; 962641898; 361075298; 340893458; 887785456; 463435292; 991442442; 672803561; 246924317; 18063322; 233713088; 503434827; 624932448; 281547164; 281564979; 1060780520; 288112875; 238350704; 788116105; 303876227; 40076296; 384920533; 182900594; 951100279; 959551066; 635710393; 810848831; 732478155; 664917457; 917143266; 57442601; 521226323; 63745813; 439824710; 413100852; 421973153; 744676123; 643344659; 438298695; 758414293; 648687381; 57688008; 211773493; 834015560; 1020995819; 834767203; 530937319; 247625316; 582635245; 353274256; 982061204; 698337748; 174484377; 44169665; 232283540; 98956961; 378515065; 656382279; 756070530; 851958459; 375213613; 795947023; 933088075; 10963199; 419891698; 587260822; 1060502053; 140095426; 1019498450; 827881259; 212530959; 874082419; 698528146; 299066366; 806250776; 1043440762; 592084700; 604912747; 694909610; 558078513; 999575439; 788661489; 60994245; 1036383757; 240373489; 752787717; 645089343; 134182368; 349634841; 49849694; 973539164; 397936912; 544622190; 206423259; 448264993; 197307709; 109107602; 811106392; 258658932; 732883135; 161247010; 79560680; 537157063; 680161345; 16683844; 347585206; 151042084; 93007489; 724240439; 864917202; 147745684; 330927850; 727723197; 566512236; 460638870; 704820274; 784299438; 1061617728; 600721805; 420808884; 389486036; 975410656; 289910471; 303736937; 630712329; 444537304; 836223785; 517477261; 484277808; 613133139; 338992630; 688182482; 681933058; 948620262; 1037645699; 192834207; 502697744; 1022120235; 686458727; 582945491; 858996806; 2284003; 146875485; 9596089; 39075447; 1047936389; 409882640; 570078528; 442040619; 978353714; 328669102; 639371828; 183433692; 861483340; 1029422067; 557075930; 786167819; 290571934; 929568751; 288853016; 511737971; 500298243; 812328364; 711008110; 746068908; 574846024; 797286890; 757630969; 747704174; 452272089; 955044881; 599385144; 691726121; 578782909; 430271099; 460968873; 830729754; 540390613; 147145579; 559358130; 248857871; 618445965; 663620224; 1033502755; 705069457; 115759056; 579873072; 687744269; 770167095; 627511373; 911923192; 856635787; 247170029; 926838121; 140612996; 979105964; 1042951651; 569031714; 986178462; 520038338; 1036338234; 583544529; 258611419; 589932806; 989362768; 63870918; 770739986; 705368390; 399475217; 570604020; 590002634; 211024102; 134059090; 600015615; 596867495; 920650521; 227384724; 1022618081; 609242530; 910286676; 297143911; 312422563; 159117238; 229059430; 329935273; 1009934330; 332927899; 794787591; 534613620; 345519468; 177145061; 825904528; 1025783050; 579315001; 227034417; 695195023; 107992411; 721858413; 830601678; 1003340281; 83357980; 323374613; 473970887; 787896253; 285633405; 487871120; 590936501; 160741205; 254647013; 812774894; 145646595; 665305889; 418281828; 356966238; 381209179; 918934806; 501543588; 85705114; 822251885; 1009954395; 368683503; 799933536; 560495186; 77957971; 667117482; 409057258; 327933456; 179881619; 117853278; 751002312; 195719682; 796027307; 489542536; 931143124; 1001486711; 847885652; 703499966; 874685685; 15939056; 198125367; 467262615; 474059422; 313417017; 502951988; 975981245; 97110203; 957566165; 670074036; 885576986; 556804579; 861194923; 1043340102; 901383815; 234882984; 9120666; 595156719; 567080490; 1001353392; 783365337; 706460439; 131939714; 650067149; 395731101; 571157785; 652048647; 997605791; 352163913; 78290746; 821098874; 973785200; 935406898; 657080443; 119922901; 689565550; 569321835; 289335115; 995971658; 490860569; 45609259; 696028409; 931327832; 122789950; 1032802132; 975440428; 17279978; 111124728; 901292735; 216851744; 1022118171; 44843665; 731731517; 348871791; 330523476; 1017226196; 622615485; 197929165; 1023880036; 227726919; 764280515; 361733423; 2556819; 1015183638; 42639889; 327015970; 243620655; 513080519; 682376936; 866921664; 681286801; 471099552; 154950698; 889285077; 560417419; 663983002; 412521114; 65890014; 223127498; 633608892; 147817277; 665246988; 105978921; 219823950; 517688680; 1039664940; 729058463; 623350529; 469143360; 945442365; 736872994; 899308443; 487614587; 170596640; 807059161; 852553763; 1043360595; 19082203; 1012435190; 418484848; 957755891; 891787439; 429499069; 842176022; 648726631; 261665365; 919725887; 1021298789; 825771549; 1023872836; 512362528; 149955103; 699561366; 847342884; 934089985; 771234857; 284430902; 316975219; 642409525; 276375989; 630707384; 20213541; 714040397; 375129258; 534152115; 174642579; 685247596; 337300172; 81242199; 55339359; 822810129; 69395913; 59306296; 993701527; 522816966; 938203527; 70736886; 333578009; 564451937; 430039915; 976567697; 141340251; 367364502; 423721472; 330611267; 585233463; 739435869; 816865304; 285660528; 1004345728; 366098038; 2477516; 379215078; 643312670; 1059177343; 667939002; 680205159; 440078351; 534677038; 913994446; 125731496; 398045281; 514027442; 1039417417; 256890613; 592330817; 104439498; 257191262; 265932871; 607734044; 355293064; 689041781; 872724211; 488327948; 1042370799; 4315341; 278160889; 383085864; 179633224; 278999421; 216463634; 616712625; 534902847; 745247025; 402818333; 530402835; 891855381; 925903021; 657302138; 149134822; 566929639; 654675419; 613873945; 379077884; 162744705; 1007975571; 975595049; 103935553; 364153204; 270926707; 66287411; 543573939; 709755025; 41179642; 246482892; 949463334; 372187842; 589661140; 432443464; 741883602; 295788678; 458851941; 32297596; 273319802; 771438407; 178351091; 333425964; 331977283; 864105775; 32222354; 421068177; 1018650746; 65948142; 360466780; 239839415; 864949843; 521798106; 659566029; 534378139; 625928047; 1016570099; 263755960; 128826238; 931693159; 909956272; 314610948; 994609559; 907127691; 267832144; 545589332; 286689853; 206684309; 377052200; 127489192; 740824295; 982903488; 651546866; 986041074; 849694231; 932251376; 200918137; 293630592; 183863267; 500251449; 487368520; 826030184; 606931386; 209950833; 184845549; 374908607; 67603248; 663605958; 902945403; 836700699; 918589445; 517385418; 185448383; 678612397; 780388393; 1050543012; 662749641; 1009989447; 763596384; 424744884; 795052375; 583055513; 486041230; 700238793; 478776241; 906113705; 757695947; 937635251; 7541590; 682135696; 809824416; 4432532; 1034746732; 301368097; 789710709; 591129515; 156785377; 939054975; 382304678; 765110079; 833291645; 784689702; 141468257; 594930572; 1069215728; 1020133267; 877144037; 733576265; 19488356; 695223995; 100274670; 782943844; 544324954; 655661269; 106832221; 339201527; 211671803; 288050541; 577853449; 363003385; 14306998; 296357415; 487407376; 530196531; 175487311; 221661648; 744238634; 813169781; 974251539; 27668759; 746391920; 448100620; 273163099; 993780839; 1063646490; 241373725; 691167820; 725056118; 402640988; 623416298; 979254414; 983448433; 714286923; 1057846845; 364608006; 792361282; 123791590; 250283876; 121094919; 872936532; 648024188; 1011169923; 425870446; 25325317; 1040444869; 519198109; 612225758; 79488926; 424408644; 34977258; 1014490740; 189569867; 860138785; 578895937; 729238124; 313924894; 131366146; 278744080; 26385986; 434334482; 750508; 486049471; 84684684; 849981026; 347908337; 531550936; 186476881; 1048327981; 729575090; 311978080; 884292575; 81209335; 255144267; 880322366; 292305885; 1019792302; 576074406; 274617419; 581659691; 304650060; 42084514; 853113587; 96791914; 617659456; 50294921; 1072576841; 499904634; 946035750; 322278412; 135718522; 148192813; 240772610; 48890818; 406127137; 450132505; 456606444; 264427947; 42557310; 654998793; 444796121; 915050169; 10877547; 792528470; 51003660; 376833429; 446721993; 561846368; 174583497; 446609662; 792487063; 90791407; 105071148; 1013320421; 144799773; 565720684; 222170319; 476574631; 1025647271; 855858904; 147915168; 211732619; 403478503; 985854460; 976806455; 882370667; 482570764; 894129450; 436357167; 174275793; 374654038; 1055075089; 15382571; 24271253; 863695138; 904906110; 245211410; 528309479; 445565105; 735484583; 976250729; 557813855; 288099722; 983902209; 526195978; 667260078; 70904985; 295469432; 894363684; 745106747; 1009608396; 979482319; 604752850; 50363247; 693862920; 709337114; 512761081; 1034616961; 806952239; 820669615; 146265127; 51909503; 685799303; 779884320; 511218148; 76826378; 971244839; 1000659660; 562767338; 639419376; 326866224; 863418760; 274064768; 4997549; 506986570; 618119102; 245381152; 930003519; 44593454; 46728635; 764271556; 330913211; 588863665; 1066564076; 976381535; 1060119029; 233738453; 1031991082; 829674738; 141395756; 894181902; 653394556; 883436917; 495437933; 810681130; 414980266; 842554442; 7742070; 817864346; 64073802; 841585335; 169412924; 772583775; 677051003; 221313951; 669381356; 817523817; 733574704; 1056728757; 988596548; 899330174; 558638815; 503352734; 860252943; 737613610; 659559017; 638056773; 484641952; 1062135882; 75162922; 756017634; 124590491; 344376532; 44854361; 123693486; 405055686; 8400563; 56914667; 87693798; 911702731; 153547899; 410312418; 669965817; 916156430; 983074217; 867474974; 376565963; 471434456; 245367414; 626110507; 431494188; 624980442; 640961222; 984264689; 419976045; 375442920; 1001089752; 941524048; 124315241; 862461998; 352405804; 765134158; 842283893; 36331735; 221167523; 589244391; 798311102; 472865886; 378449229; 966176722; 35921816; 515286784; 807154476; 273632127; 467923294; 883258233; 902854382; 753473440; 725512515; 1004270140; 615600911; 898207913; 953921625; 478858279; 892383878; 161421446; 649835509; 38901044; 985917401; 201355823; 147098373; 430358609; 715264398; 628499487; 1049442191; 857376744; 985485821; 272656715; 479621525; 876789568; 339274212; 1013343941; 194730793; 162125851; 367302038; 258230212; 356658728; 624508516; 826822341; 810118446; 659292650; 436794590; 429970788; 913669268; 93785339; 47043019; 406351427; 372961299; 864598269; 654281605; 118097477; 742616720; 273120112; 963739179; 1063660843; 961743991; 654209871; 326415485; 526041960; 223611303; 693069171; 555620596; 1023522050; 125711110; 223585975; 378742685; 983122534; 377728956; 338857169; 705160876; 219341325; 524501490; 65101995; 651581402; 355570068; 150902136; 758951204; 152526520; 804918815; 976763556; 291861141; 833145219; 303983635; 982224840; 752234930; 664820239; 761924065; 17771202; 992476093; 439964863; 993672372; 336570745; 209085903; 552935647; 418411993; 936089050; 517660541; 566880550; 214514048; 982710540; 867623592; 641307055; 794492861; 900338932; 531657860; 633377090; 260870126; 830695068; 46963889; 394910701; 139645831; 953816760; 1071586112; 1055360761; 113204434; 864482246; 535478965; 952346516; 373235931; 781228923; 958739473; 196341819; 531856251; 792772507; 575772236; 763167794; 15067274; 21589148; 214191032; 411700799; 966070844; 54565425; 772684763; 313807045; 942935562; 329641389; 862336265; 495951173; 975521409; 779788055; 149401914; 968342671; 351590529; 384112426; 187632074; 899015808; 337228978; 701963137; 112141473; 815405885; 73073087; 129414418; 1052081052; 438951440; 167331809; 93423524; 814055412; 6130180; 267333430; 782740927; 195254989; 45480243; 310634356; 796899520; 852052790; 667628569; 1003420139; 117889208; 361805584; 649086034; 913812399; 1037152509; 217244652; 549071806; 643238236; 171430530; 764858541; 1035471439; 20593045; 392885960; 597113143; 38683558; 255351114; 408714124; 599536753; 35662933; 913933815; 939639517; 333459352; 202822146; 421310809; 375922343; 874569820; 909020426; 854063315; 369518832; 912166350; 233140997; 223328423; 265676720; 680061048; 61251230; 656339023; 979671910; 6378234; 387872070; 661568096; 122850199; 985327699; 1016908340; 832398849; 746833789; 861134252; 1021456431; 742313245; 954340684; 42939520; 126237077; 915713633; 706246748; 331487096; 336520660; 533792765; 235464454; 999427995; 181807438; 551828221; 609061130; 716914731; 737746128; 1022308685; 294760299; 771282445; 960655457; 624591635; 716967853; 697500127; 429491253; 34245983; 567675172; 929892566; 242439101; 607912520; 669505577; 388352073; 792791014; 87106138; 35254800; 128887141; 422005737; 439293022; 111968496; 896865709; 615287171; 935425224; 190959775; 427834085; 192053361; 1020956715; 934659241; 349809807; 217366114; 920164517; 93263517; 18054268; 761353421; 555104592; 556517680; 438610251; 388019876; 969971471; 767304488; 379227472; 125866082; 902264519; 965499529; 351316035; 227333720; 574904494; 640588776; 308125080; 17523635; 856294995; 645922520; 65398573; 929052112; 516694495; 553387917; 794587985; 70733509; 181847057; 205468174; 574080799; 501949773; 211787133; 840095367; 603665441; 813999836; 560353330; 315225026; 1019037711; 88265807; 278922586; 866475373; 191001607; 366729580; 88459327; 159571482; 318093422; 978640441; 964323327; 548210692; 569692378; 214832966; 568911476; 897150231; 629554409; 614425009; 543841320; 40804523; 539306672; 882171281; 215943326; 602155130; 924236147; 797568935; 947217968; 51790686; 235846378; 945649479; 314235307; 495485333; 519788028; 595380320; 551913708; 723958093; 714753918; 577427169; 294794973; 109554131; 977078842; 1043811277; 335796830; 480586598; 817438145; 118904785; 606672567; 202665759; 123580183; 495877378; 216270814; 197819674; 239507450; 563937885; 5793599; 284912303; 712278979; 668095908; 353787645; 656334776; 661300231; 113421691; 682480956; 47573162; 733951878; 187014029; 312347933; 216175719; 132315909; 140610819; 1026333052; 948491810; 575680174; 519742801; 1073021859; 405733460; 978494647; 991057024; 348472403; 1052620418; 398877777; 529117041; 286865628; 1049577091; 734506190; 755286995; 438918265; 465770467; 780986158; 798453266; 92763753; 154886586; 406144438; 38020883; 94336080; 806556222; 525183968; 996979575; 143671141; 1006462331; 819813824; 881368480; 434371765; 445978605; 588246428; 132235651; 640912621; 811285271; 565720057; 97796419; 92031277; 732370045; 661184551; 58267610; 295390033; 1051548180; 841920881; 688254906; 517268981; 492095735; 748693923; 107582344; 52567307; 696765703; 812386044; 372489120; 463239084; 123359713; 1015741498; 769696734; 238489510; 442396882; 738317104; 674141012; 952505247; 1049067219; 841703557; 765629245; 552476261; 571811015; 436541248; 974569166; 380079319; 475657061; 198161067; 464455899; 967469764; 548216267; 118728620; 314263365; 680045777; 20899488; 338478000; 454503725; 469667350; 222678120; 403133909; 681295418; 527573258; 225067176; 117495644; 882006513; 254445861; 898002830; 883014863; 200336005; 736708377; 476640252; 833990941; 194075310; 888201888; 180575813; 789596905; 350130556; 903576543; 874933757; 744596595; 270214731; 545545621; 699760545; 381453151; 459415299; 181353797; 772016391; 746346354; 506949771; 1014695489; 443787014; 1837729; 796235800; 358010712; 149579400; 493313888; 1003115090; 950723575; 899204629; 32509458; 396353007; 143138277; 777351525; 855365072; 979147275; 844918019; 682682584; 471828599; 857249421; 933763617; 425806207; 325570397; 269999466; 317832760; 953908869; 586245719; 915079099; 60185786; 971984266; 394367112; 223403501; 308915650; 879020115; 112596500; 150760215; 589686271; 1010078929; 666161934; 803929949; 903416084; 606243269; 174578520; 1063843045; 238758576; 108878414; 913880158; 195774722; 867727042; 773839230; 647147084; 220643133; 291476596; 978001095; 768910409; 993921890; 87541043; 455197817; 921204306; 101263585; 626734747; 747923133; 496913748; 342402051; 917764523; 176776963; 686343370; 733080009; 81432673; 564534408; 745799309; 990103289; 51647685; 198656364; 990927862; 912914133; 775861397; 275563752; 180601727; 8909525; 1053117418; 398052921; 413305834; 752247619; 181581703; 59063150; 38164570; 102603387; 318041192; 639114448; 1064364913; 959422298; 976563412; 437064071; 955893165; 424301751; 716521133; 876212661; 296087821; 626346080; 358368860; 670774550; 596861328; 66956844; 233277695; 1038052471; 957791106; 897992707; 402723745; 244391832; 37736512; 975565531; 5895155; 699639818; 257354499; 764648363; 783845463; 912698883; 498510594; 6393777; 779368724; 993780231; 988880374; 477429770; 184744250; 752173801; 823050001; 1059615128; 307715309; 886367204; 580003410; 286411671; 528847200; 558623391; 302607702; 930913256; 287386500; 406617124; 463898848; 833733792; 762065443; 439888525; 585368266; 471743498; 208803595; 466220746; 88763929; 799724895; 176430233; 812291948; 115292841; 989289459; 86690101; 267230677; 902024313; 744277062; 461617022; 988474602; 386900224; 168783879; 414546677; 238316744; 669992403; 723971561; 505929956; 278188839; 824171035; 839683505; 322173713; 486963282; 189102516; 1068708387; 25386624; 355646923; 547162102; 142964323; 1020682286; 726400375; 645610980; 822183572; 102460495; 52706669; 423288709; 568167265; 810701712; 123246769; 615608681; 302639279; 208441430; 307020478; 837086443; 28562624; 54200910; 1061430612; 806184579; 537323082; 445620060; 12093439; 482101920; 434919195; 821728144; 302016383; 81745796; 721265995; 999761220; 585064871; 15470919; 559874283; 703440853; 353547738; 228214706; 71261225; 141835468; 529549699; 369212915; 1013231174; 587315976; 678773074; 501518148; 716271798; 636436570; 735202421; 379920261; 662530131; 39960551; 308485640; 884694093; 379187261; 94579168; 859841611; 683618019; 431132756; 1024312904; 895576881; 890706324; 105293759; 30294166; 755935577; 433676320; 212877423; 576392190; 227675184; 580553571; 743517110; 310360507; 991228194; 971578638; 1016065440; 909856990; 935098096; 53923380; 31209537; 707747444; 35137952; 444850957; 811647143; 689276672; 718007811; 171457187; 964358115; 703049494; 842565823; 329222716; 1023778567; 18702798; 689609058; 431506608; 230118457; 293272157; 624568782; 178756496; 707141720; 907925408; 888642433; 392788576; 1049952317; 284460084; 679931853; 953006797; 762619439; 1072350926; 700830831; 377989879; 106697941; 887009702; 480074431; 628177937; 879725380; 406223149; 956322853; 898940642; 363931448; 487172098; 134566278; 886084146; 147182857; 871687610; 810095704; 123536990; 799491802; 743210219; 73489568; 129190878; 108197202; 884995839; 664270908; 859291012; 414384285; 636184320; 30908831; 1004380312; 397459368; 846953174; 706912583; 423580452; 808780814; 615371253; 1028259107; 792776155; 953406095; 660893957; 376062746; 316385252; 297156501; 21179314; 258408298; 403277857; 181890041; 899129109; 252181691; 618661757; 840812753; 385128684; 405189014; 512064502; 211893781; 56999116; 661491525; 673863118; 1057867979; 179025079; 662339603; 584069810; 945918739; 858366033; 523137133; 270856815; 61341877; 733792092; 542194205; 627341911; 194001866; 700772383; 483923412; 494707449; 159274315; 171765857; 77824131; 258604707; 1069304785; 157406154; 855950211; 259480945; 652273369; 288955403; 198108096; 518495417; 175063225; 753346247; 684243856; 787576295; 32017502; 951598512; 401389265; 1049428992; 187094688; 558439158; 460937414; 844366969; 79061926; 829908503; 68696347; 70101541; 143224217; 546557390; 650675197; 833328252; 834380395; 996250926; 706671788; 253853778; 430898026; 916918253; 1062321609; 367327327; 509637607; 705717640; 76053294; 852831514; 770369216; 675525448; 415377492; 386111427; 208257680; 916108577; 648759876; 1038692772; 939691496; 421677673; 828316496; 996122214; 113029746; 354421770; 331291615; 330679885; 776706760; 488216066; 882496394; 138539109; 940053592; 1955695; 728090482; 446875317; 788413224; 317914; 905499657; 547812608; 143067711; 583098504; 749360578; 907426425; 179695376; 682595901; 474197525; 1068550414; 130364579; 525587309; 644880213; 153659956; 530612215; 177857222; 132428732; 559517909; 480371953; 565737340; 557828482; 179995273; 728740140; 315665958; 491251972; 853773152; 937858143; 485717879; 597598479; 853766192; 727130211; 442111475; 951393653; 364397419; 1036797178; 297164236; 113361072; 747855202; 268833199; 602213748; 511378005; 1064202817; 730780204; 1036305888; 229347195; 838021620; 125136513; 75515349; 789646836; 291250714; 464906727; 22123394; 415144373; 583676087; 145729668; 28882953; 357925899; 962989966; 1068234188; 190763548; 795297447; 837833820; 373391997; 707264164; 984079793; 786802529; 745538683; 786282009; 370126926; 73840912; 828231593; 644968968; 6726256; 215587736; 398355849; 222597835; 253246945; 39231476; 909369844; 847690997; 673639689; 633641544; 135228813; 306708033; 987997848; 589969307; 996113784; 54013049; 562431463; 122115201; 1013406840; 976412389; 668779269; 76381931; 324218875; 1004602829; 529064740; 193883346; 68817975; 53051401; 1024793526; 1040850125; 1043418793; 101164843; 837104921; 192260715; 1011727528; 932455179; 866450504; 527808313; 786417978; 82740088; 384744638; 175185544; 469468956; 677748358; 295203451; 266171765; 839668449; 528814490; 531123037; 103662460; 231046816; 564680519; 1057228214; 558668028; 270593025; 409140026; 1072848837; 597276274; 534722360; 310320410; 964689289; 899068540; 1070103516; 673093292; 638364826; 1021325249; 928615544; 377660704; 826484753; 363283920; 363387697; 1038773140; 466038308; 341377224; 51057952; 647363139; 603980625; 669987539; 1027239732; 161608879; 304276448; 716193593; 666788566; 250285845; 906414532; 178228148; 608712433; 971439000; 522151482; 61037230; 174086182; 117796102; 1023589020; 457771970; 813396188; 210882460; 431922230; 339052355; 1068003445; 59947271; 1046708986; 1025253446; 988755257; 920967352; 329941417; 38506741; 433913128; 102300666; 744944427; 660116029; 143040386; 1022609780; 894447404; 701819226; 1028554694; 1061565312; 1022988181; 851033624; 447676929; 1054504642; 553577177; 614629001; 814113657; 1051617263; 269448792; 435967476; 509858323; 731040969; 733482832; 851026630; 512080566; 776537799; 265746379; 182178226; 744757298; 964242494; 842770126; 590083107; 579396980; 193469818; 586596299; 303431175; 44243611; 5678487; 109572512; 837051775; 121044926; 949713206; 976849500; 612465960; 520055440; 583964638; 1070800307; 574599321; 614454000; 399149598; 182116143; 957070064; 141449534; 704200374; 720696718; 859625989; 471539981; 227825277; 39457169; 136986153; 503201775; 481156401; 451347424; 571382944; 272740709; 263399355; 485556825; 774375239; 427495950; 361726499; 365602873; 135237631; 599821971; 64991910; 321588936; 753325518; 545130035; 87598516; 36506071; 1057467602; 2379281; 90254602; 364205318; 838717468; 972810489; 172993317; 129186392; 44353217; 1001015018; 1072275481; 56344603; 670530385; 1067382723; 1033230146; 309793819; 1030107455; 225607755; 531496801; 1070611791; 789616343; 186223972; 141881341; 281507980; 645804852; 1011288101; 638073485; 435586690; 1039183809; 368611654; 967143754; 111089033; 866386912; 959267125; 730762631; 263769182; 1061426270; 352689179; 338550338; 874462595; 154877016; 232513709; 54414218; 826780228; 754974267; 139151919; 944214269; 195615807; 358613357; 965586752; 755739165; 151371447; 1009969650; 1073541744; 410252501; 358414290; 960435067; 168507826; 563185340; 415183551; 405969729; 732817952; 958782694; 924401334; 160632722; 496380328; 604274707; 631598656; 320341636; 357072503; 546872335; 1051690082; 792851834; 794686057; 561191796; 363242085; 395942766; 12056887; 984621247; 152239502; 125884965; 635050779; 621666892; 1069370724; 197232925; 1044069077; 501273856; 315598009; 271165706; 459446074; 784229981; 170013367; 569406833; 234935493; 1059979187; 431020133; 364832341; 386622737; 869656484; 1068429628; 921340860; 704370421; 272943522; 564587263; 81071571; 22368825; 497870710; 605253118; 225432998; 489078126; 730548845; 225994958; 200968037; 179309206; 856087255; 492577796; 888231800; 857321521; 929763541; 691380557; 693796146; 758202597; 850834606; 672126476; 1001193990; 684228978; 769890330; 827223300; 1031024757; 462167178; 21238657; 779667293; 457413822; 508722246; 113275336; 960437203; 211309650; 1046117223; 500509489; 118918082; 36278221; 801289687; 142397523; 250938869; 431118972; 535570497; 61183729; 266857088; 937575296; 449599861; 317163230; 45087772; 625913656; 486300502; 1068176748; 427121351; 560690215; 593982336; 667710425; 433428583; 874606881; 105382931; 395852806; 870490253; 1068050511; 787101918; 946199917; 103232447; 147652382; 501539610; 659118802; 613236050; 305527017; 204678883; 429662578; 762282743; 135787605; 534951734; 612642430; 1063998302; 518084187; 683657104; 506809395; 131487012; 222762427; 846246588; 166066987; 12404757; 26768050; 900360552; 440926926; 173450227; 42452229; 262306056; 826253493; 473293843; 1007721394; 951326655; 549357775; 853080377; 543265397; 77319796; 970514514; 554228268; 701026368; 79930599; 453324222; 39575701; 716454419; 187062994; 314849806; 295862708; 989687120; 180021755; 219326156; 551251542; 448743223; 1028032012; 1049260313; 294079747; 868577379; 193995104; 840793567; 478167938; 185046430; 777929486; 394208488; 712300059; 523286857; 984365319; 250936471; 67301288; 932072872; 90261437; 99360337; 437413777; 785241712; 157719134; 48127251; 869550377; 61491432; 899158451; 17081937; 393240434; 132858374; 853114576; 267943349; 736481025; 27486621; 347093779; 1018295084; 15746923; 233681033; 719098336; 978434239; 257312097; 89031174; 63650379; 737597341; 35366965; 1009924528; 180291895; 636699559; 843391567; 317566985; 894572216; 1016527905; 539207298; 886972953; 550605129; 99595471; 395750789; 48602226; 292824161; 194975287; 210079332; 993619300; 1026541047; 262712233; 1035591390; 188956306; 995228218; 387659382; 797055554; 905980810; 380943423; 156946766; 352640965; 623608680; 474297669; 553099254; 169071982; 1065652075; 27257367; 892893169; 421304518; 655667334; 348004320; 120765826; 661574670; 983100498; 498946678; 353217239; 971606951; 366569568; 114769627; 246597832; 1007603633; 725010369; 343555391; 363683827; 461503845; 72882084; 340870763; 935375739; 199077246; 108137049; 933469830; 110422014; 677931850; 928161812; 970124442; 294274550; 736639939; 567100110; 1026959047; 269611225; 308062654; 645203412; 886945305; 798635688; 859911268; 977380414; 505111471; 1038852315; 762967686; 151863442; 1053975674; 277985320; 481044406; 600134200; 218828304; 231338121; 866343092; 387988572; 816618183; 894743934; 565370568; 79231868; 802002770; 183397893; 359253064; 693343687; 357149188; 816534602; 646701858; 441046561; 435419265; 807712196; 417094923; 443913754; 978114502; 1033994986; 318940797; 745490333; 191674879; 887367821; 179480993; 672289637; 1006921977; 286613050; 822722269; 12739459; 62342751; 120738451; 64206142; 1073268110; 367663277; 180371384; 165520888; 234258975; 824827749; 384126997; 147258077; 477127924; 231212960; 7920310; 140991843; 489758205; 684063139; 14194027; 356543109; 204948400; 896448297; 957680048; 625007336; 246247795; 823823147; 739910327; 231626012; 836076066; 508373104; 701706255; 285837674; 256993218; 1024141469; 827442114; 68557336; 972052828; 163369654; 923295823; 630063240; 190497282; 177595122; 351647768; 365280552; 278682852; 544142568; 512826605; 621132240; 177403369; 522844211; 129309542; 661535648; 342160223; 753300213; 538235666; 348259153; 78713127; 37617358; 152819037; 545655595; 857291858; 239807162; 94731617; 501287826; 168390549; 997110629; 350971561; 954961303; 862152484; 1049302305; 941947879; 917615641; 573410378; 555549462; 151401344; 28429164; 288519101; 562914149; 447648989; 128595075; 191510720; 493966697; 205861751; 853172544; 59415992; 737004406; 848147507; 248396528; 160323010; 715601649; 435732844; 71336219; 808548197; 1040002265; 749003820; 529288997; 1030631253; 192809804; 787399844; 960821971; 402492495; 1002152402; 704553261; 427996671; 197591207; 577551621; 217806414; 78594199; 903049454; 631579543; 1026933692; 844414461; 28389050; 27315862; 60397956; 472445522; 877382649; 149432295; 973112842; 511902637; 509169571; 516775002; 409383502; 269783781; 99847961; 103873470; 375639886; 807999180; 1031922104; 190201470; 178221313; 352231115; 817642522; 441592271; 973258481; 383148409; 551068836; 430180262; 42869959; 12634644; 267234682; 500847728; 3429257; 537281211; 177394679; 108584805; 206210418; 911498313; 626057167; 372016632; 343935279; 688410748; 589614708; 714646400; 927114808; 161165317; 85595037; 944082754; 1064997895; 414685601; 906731482; 1054549327; 842599244; 950658257; 930132060; 526805798; 851799557; 1029772485; 618136162; 947551168; 11949740; 982208416; 646241298; 974945593; 1035495502; 440473784; 627196373; 868678943; 206146575; 280702243; 260785356; 542384814; 29750369; 511873152; 679787902; 868347107; 1047370924; 447545752; 359643460; 348099392; 84324062; 240730611; 1042873076; 85690304; 159810933; 405807752; 288048528; 1016195095; 954376787; 663764965; 831412703; 334061080; 212481213; 154828333; 330262948; 918578150; 13439160; 176336793; 688518283; 994374040; 1056859700; 593818935; 145882306; 708190265; 104743846; 36619199; 207060899; 100248736; 593603656; 607253282; 909094718; 344659044; 663159754; 64122645; 774885678; 707909844; 713753380; 252785897; 987068147; 799033219; 39018852; 1025593428; 182113006; 851123179; 888426347; 414645318; 832685682; 19698873; 589627019; 358012505; 710901465; 981109764; 924319853; 16792773; 707894320; 1056193717; 1025826919; 176316401; 572001152; 326451254; 657639447; 169220920; 182798005; 967547872; 917445472; 656793500; 55407357; 442125039; 105528621; 328807084; 1004216608; 667256957; 7516086; 126925295; 873576759; 734009740; 905371649; 224497733; 165781259; 696460124; 450401754; 23254678; 67776736; 208288747; 731688844; 874379910; 959593435; 1036389019; 48426494; 523424618; 248067050; 944661557; 618075163; 655530922; 305937246; 782936015; 920929549; 255399737; 313381930; 810717195; 879809896; 262502894; 762047152; 54605674; 914242099; 376095980; 627665343; 23577417; 950633811; 241482871; 205339011; 173373675; 255233588; 899725484; 400789961; 685716181; 898648614; 789943755; 697195337; 111942856; 750655062; 83095308; 12605695; 1056358705; 564736106; 462368393; 978528483; 50771347; 313994675; 723521270; 423332341; 600446548; 340541715; 434419823; 656289930; 756579054; 655903595; 18341851; 177599222; 11474167; 59494525; 705222726; 64997170; 53183143; 178663474; 867184126; 429189505; 448652194; 87038406; 789341771; 571610034; 136109917; 885416730; 795116564; 238535357; 848980979; 175452414; 631929622; 297938333; 572617188; 678439456; 503578081; 289952784; 11156406; 97327294; 325698436; 225255990; 893296779; 244874382; 898289323; 375441275; 1023646793; 494482656; 488040835; 1051467626; 670672484; 933987951; 518980576; 298912746; 864675793; 823991954; 1038540411; 688911325; 416273896; 496496784; 79055910; 516493545; 997158232; 843673545; 544033184; 126100930; 358425942; 1002634500; 17464798; 731333472; 256667777; 660037729; 106389506; 742886661; 491990040; 115749269; 41170920; 621021673; 261973347; 42186732; 229652488; 469757974; 750860855; 490132744; 839236439; 1038900309; 309391202; 272219180; 919412149; 529187593; 231878508; 866842446; 43223952; 689781650; 160643391; 373446016; 988227412; 573543349; 319201535; 79414718; 552525452; 838685634; 654392817; 571015081; 950325245; 107636469; 30719246; 1035833762; 618332104; 712303988; 745475602; 989629984; 524762471; 272725038; 216856961; 384857202; 976323970; 279187430; 1051773398; 353714718; 21902250; 5527251; 726919826; 243618424; 923410689; 568135448; 27584090; 50661786; 421242197; 299316570; 236802809; 535707288; 1051571723; 79455747; 1013770636; 498739877; 96690185; 1002493219; 211280973; 138794520; 915866177; 1051394445; 664439684; 931482390; 1042941039; 504762532; 704232524; 62751770; 34102122; 586303962; 203418032; 1046683142; 71942703; 12493376; 168119645; 984550412; 1024252082; 302199167; 241860504; 401998675; 300417273; 420587886; 892101370; 890305765; 442424514; 580272605; 192400068; 701456216; 16628521; 107490586; 903716090; 958507549; 690690602; 1031343998; 1005436247; 930599887; 127368319; 1065397250; 987910746; 147773176; 971051278; 281175507; 1027988566; 663426291; 882895240; 37090712; 373898045; 643030061; 1038840639; 934269815; 867627197; 322456601; 70420971; 277442118; 380659184; 631522171; 3455656; 761232722; 1015920922; 50321230; 715323227; 375205382; 733053877; 163646763; 1042961894; 688573467; 643188469; 231671331; 60293399; 699122004; 331945734; 582611332; 742268531; 900204511; 161650859; 154230697; 736952249; 65592640; 870591256; 282743044; 37051786; 952503595; 706560905; 426062293; 212479190; 76008745; 347759344; 349980685; 826992920; 293765350; 646107606; 470514301; 599459065; 868859072; 59675663; 468481430; 892628242; 1052873033; 1000130985; 198766610; 1034630015; 1034019192; 160229005; 147462520; 176796664; 237237720; 420184044; 1034669516; 340659420; 1057567803; 557337860; 827805431; 4891845; 1052940668; 766676120; 757565372; 942144203; 969001728; 786649440; 524255666; 763062311; 74097569; 235987547; 958632812; 30413858; 1001239111; 886948881; 1065316701; 918298200; 311591901; 915362911; 500654191; 301629438; 689332414; 933003738; 405355443; 750307830; 678744530; 912730619; 436214839; 841192196; 409222067; 76816047; 860163391; 933262455; 406778944; 185537619; 283131272; 159806946; 989858235; 597672435; 745996421; 854257964; 11676290; 796523367; 851534347; 1024394942; 851441644; 357739249; 805423004; 295851808; 245476590; 938774924; 543636467; 588799604; 367467827; 479866003; 887315435; 927545390; 583683592; 354038565; 605095689; 853805962; 299621610; 990555744; 1006682801; 157485966; 80615952; 732571925; 166678348; 717885177; 191629677; 859143585; 488683530; 6580579; 770274874; 460792450; 58875920; 421036694; 231310989; 920788651; 597396335; 84699675; 493574949; 267631301; 502720862; 642560670; 78509495; 192312861; 1019446457; 735365437; 852888137; 555491979; 654997572; 707580848; 885314958; 722387564; 314565713; 1019001269; 446049539; 35648891; 979090898; 710061403; 184786576; 461374675; 526185231; 973139963; 896146710; 1019030313; 576988082; 806957170; 185956237; 183092889; 15355885; 664593452; 174035463; 465055497; 770104903; 817109022; 141331; 901213812; 231811611; 215074628; 809195850; 316248097; 362768842; 758861928; 4929410; 897267945; 648956341; 46238187; 554596526; 609171811; 1033155101; 709837706; 623411679; 773098790; 632075065; 501298146; 185692046; 475280869; 400974139; 459413365; 293290007; 956987740; 12837892; 728681772; 608441800; 986808985; 618092991; 633250522; 135954231; 177285298; 425191184; 489154513; 1025811330; 228914605; 172689561; 859455871; 992636876; 491112113; 165161489; 878555551; 606389216; 524743071; 945019156; 1012558530; 604322109; 467518396; 459115002; 788549643; 119424259; 232217004; 281726320; 937919184; 957383026; 926329649; 496139132; 134326675; 410395829; 780099885; 440392109; 351972278; 756624308; 705467522; 86563951; 1023819637; 298904791; 558444576; 998863037; 854974622; 649867710; 787272632; 1010289167; 708965124; 663195089; 358697108; 509417316; 201753421; 982303846; 257806800; 686316879; 300123339; 800132441; 518949150; 958542437; 329095913; 356900846; 406071708; 848601571; 1050619477; 986455312; 961751544; 565053506; 1001268744; 162823473; 128312545; 628121101; 808397539; 7127684; 576150318; 76155069; 953562661; 623349698; 298074618; 132344352; 678355192; 766439796; 370114250; 98675452; 276221653; 431560129; 688705937; 606188671; 500023622; 483266256; 622594700; 791592617; 584590848; 394421861; 174684259; 1067266318; 298416367; 278642281; 345646715; 531679355; 983401307; 747359429; 765312082; 121034164; 862095779; 201256401; 764192736; 971671518; 495233823; 468047731; 819925819; 296857976; 790875727; 13536943; 863749820; 709101568; 226843673; 456053573; 688351663; 696732889; 942917601; 68645174; 599295753; 256862570; 77446213; 242930548; 827885302; 713663; 922547022; 152701471; 925045151; 765197559; 50294491; 725602635; 204626433; 602704857; 849719285; 849629877; 793484645; 374985455; 1047953362; 650846931; 1049964638; 10749358; 29404935; 790715272; 249650162; 866501501; 670152121; 51168520; 290902828; 648439210; 385740914; 18308508; 731648167; 739401426; 183605559; 176651284; 897618846; 429931043; 207603242; 597949625; 156734981; 734940885; 100087651; 927088919; 739028913; 836100541; 367530309; 353140784; 150205619; 49135284; 901337942; 724402539; 12679647; 336524821; 386909400; 147621967; 56263237; 508523847; 790056445; 644891090; 952737451; 97622766; 306721712; 950682502; 235830194; 381141288; 729838184; 700324155; 512662254; 489764334; 95982304; 4994761; 877106612; 488472899; 1051973038; 505440218; 566704782; 552690545; 475751513; 727560894; 1058743854; 855417402; 205301909; 1045799604; 696724426; 306914749; 791320985; 186021103; 231723818; 23386876; 140105880; 793914731; 993976660; 1072488713; 984437558; 676231266; 1010227715; 894599478; 894397089; 941608874; 771073584; 346196452; 65731700; 34664427; 196150938; 949081763; 473545169; 632852353; 233458469; 900539387; 880483095; 938514613; 405220182; 554938459; 320374399; 799640382; 633957472; 265023952; 753822363; 243703377; 977921471; 524619365; 815751113; 51096694; 1037884597; 430654442; 179040140; 998101967; 896217739; 251691661; 426007366; 275410636; 757405354; 257374460; 1058132212; 272819247; 167758129; 288444500; 908811393; 1038959462; 171105246; 432063894; 518235340; 796722954; 93977114; 1061081763; 119779606; 506482609; 872713741; 370172547; 139811921; 261417971; 58066257; 685507556; 358958095; 111086377; 466018042; 323472113; 706508551; 291774539; 365120090; 229242768; 905574567; 672488910; 258515532; 103666774; 880636894; 36447395; 545615226; 916617917; 302909313; 569549135; 856411682; 891382592; 461302934; 988019970; 168398630; 938658120; 308568464; 504250129; 314255050; 611130101; 533714372; 1034105535; 857446033; 619477514; 803518805; 423867853; 97469679; 781602187; 608491640; 1052671510; 124245157; 417158809; 642590643; 179852375; 108346207; 246062618; 438817988; 78229000; 458185645; 895465210; 249375435; 851798091; 1040356469; 374344636; 211353271; 47665875; 426129052; 181979624; 264634184; 745257637; 170683243; 393208306; 704633364; 724629236; 895714718; 511867347; 31165425; 817117473; 1020894371; 73928217; 766177110; 660476387; 652296242; 528595711; 273451232; 550669546; 1052124513; 608510180; 106165265; 639140243; 213448327; 1046552555; 467528510; 87606; 499987430; 77737060; 64774753; 755834223; 928848221; 458416516; 443069637; 445460558; 1060373872; 812003752; 142113462; 748366651; 634932061; 280112415; 534131632; 6878989; 443152000; 1008104906; 183435811; 921698013; 433326875; 559074785; 932598236; 98529421; 26923010; 203830262; 1046052427; 234261037; 17385613; 677421126; 861786433; 59833484; 367620457; 251770102; 602938758; 267301503; 778789009; 670014823; 765249764; 546289682; 53364459; 959381157; 632299891; 462351452; 407761658; 919860926; 779928321; 55266596; 625519878; 119383192; 826705529; 895315442; 993406797; 256611591; 615908489; 73697185; 535850068; 423299447; 493818441; 580480993; 299161523; 649459821; 898201523; 662071713; 340463885; 846058152; 355659789; 824213150; 394216017; 683332920; 934302829; 1051991568; 861854681; 1063138117; 1040645313; 895827473; 905187810; 199457468; 790491296; 517054853; 1034937896; 1057442190; 464134122; 746191053; 1037832886; 253697425; 231927930; 451740164; 442042508; 367954856; 260890452; 57380013; 916048020; 413516560; 658602805; 588331992; 335562987; 625015935; 882568630; 684057855; 328235528; 312148150; 995134780; 734449546; 18181758; 520073814; 3220825; 854905709; 1045937068; 865955900; 166498309; 181300034; 508463158; 337156329; 659564156; 195102438; 882798083; 584505948; 188140184; 60771178; 127371380; 475880105; 120582875; 373155441; 112966802; 86317737; 84757978; 881096592; 708482586; 324821269; 899471254; 260337101; 425034742; 34982548; 514910503; 242235608; 428367312; 930350972; 519764122; 752909169; 57721751; 992008278; 146925636; 387001649; 187289107; 52342125; 986572113; 749045197; 587500301; 744474200; 468708175; 220331903; 384944465; 75004781; 468002313; 122668277; 249571734; 715713238; 958582188; 968479241; 514298886; 3116311; 239946123; 977310629; 368625230; 588529499; 530495785; 1068282551; 234606289; 441764943; 869553404; 286417045; 162373737; 922432271; 1054649179; 434739684; 493689; 765390133; 10269747; 868086965; 358085690; 831518985; 364236205; 414189677; 43362462; 342459410; 749198414; 513964277; 736290955; 450712812; 588647049; 241605087; 784262751; 742576837; 986827518; 291602058; 206956002; 767006938; 1040712538; 858620235; 828472884; 8450790; 315372158; 532854850; 538529780; 940256846; 74412930; 522686374; 101377196; 891983143; 112224160; 964142088; 1055238951; 546332607; 708856849; 60948463; 811447494; 122046854; 885887262; 672289622; 987508217; 374681288; 1035771557; 800194219; 675030351; 538584089; 495333242; 918465086; 610895313; 715889761; 1048620795; 333067719; 470745593; 518003506; 450291440; 910027391; 159546635; 870985573; 219844143; 106292053; 602446877; 19306841; 1041135484; 443644312; 786423356; 49184488; 1054529391; 517163867; 381778022; 401377891; 368131607; 177359284; 1006244013; 55117433; 107538926; 306484018; 1060343614; 254912518; 452112920; 627682677; 197421462; 773396815; 181165870; 1051782036; 14218414; 499410337; 420931673; 616574820; 482013186; 1016181279; 216407962; 718913192; 451453798; 60211079; 352714966; 251327857; 94835564; 267820346; 1042719068; 550163492; 722654519; 610176272; 742264662; 884901632; 579800451; 112403768; 391825358; 552082740; 486624308; 121048971; 509765385; 179989059; 511394764; 462339591; 961026539; 870771359; 151658205; 896665267; 823968127; 406152300; 914422549; 245012890; 269382147; 925540125; 886590819; 553448204; 67042646; 170696729; 167764475; 336682419; 42825432; 1054518612; 750868594; 701715770; 779015042; 210112455; 922170503; 286851311; 146379550; 265247511; 638706935; 351066504; 329343764; 759039729; 712790475; 233121685; 180080433; 611825592; 311817412; 507523995; 475056744; 32847082; 636178650; 42839450; 164183440; 349895249; 369269954; 586568959; 780468991; 492198468; 1045939729; 22997623; 969898446; 870207862; 151211601; 653945813; 647695785; 558397594; 59545481; 286284454; 686559320; 136457225; 266430228; 558631624; 157362350; 1020595995; 14557147; 493359061; 232334729; 388982244; 760397480; 895233776; 529024429; 507312751; 235573340; 1027308064; 184124883; 23815892; 866019809; 78927057; 583694750; 111050251; 732598973; 75783487; 1059553962; 666679133; 46752292; 658983416; 793025593; 446259109; 276757704; 126681445; 800319542; 760768147; 515703824; 364332125; 89967404; 1036093600; 25439296; 802618782; 128662100; 309689010; 135407641; 68279194; 854772535; 554471220; 557953431; 678892778; 377106601; 122361407; 279972122; 579193716; 966299130; 282326542; 1068923581; 623225204; 719131708; 141073137; 170522872; 24834876; 909078779; 379206042; 463632023; 92348076; 360863068; 985042411; 718478292; 870769318; 18102357; 307009883; 216941142; 920717472; 365454665; 1005813126; 701512497; 75812391; 868566043; 199982472; 606868293; 613558975; 480527819; 175946976; 1052068566; 400782820; 983979497; 923318496; 195907068; 1045252060; 833527866; 183125668; 475979372; 53281212; 946327237; 417814847; 187922689; 349078115; 637368006; 674462195; 695667829; 800214881; 325594451; 167441327; 397087333; 430887383; 515331800; 436193709; 437323442; 809129917; 394138777; 652734092; 938005920; 1008458449; 61873389; 672694034; 745901985; 598982649; 602866434; 46475280; 438197291; 104131635; 907017442; 1064438941; 375714703; 555877134; 394675660; 82264279; 525572006; 844525230; 751742916; 350528369; 750700563; 782250467; 923866745; 838970356; 381431091; 565136116; 33404677; 597174081; 111690160; 654680749; 759525290; 977639614; 490112979; 1016143114; 211374857; 334880029; 1031734046; 879798046; 427897776; 873056019; 80644767; 485426097; 757807213; 215340131; 335716850; 848770784; 600983771; 677386739; 866547290; 970920564; 58331428; 172543966; 335843414; 930765885; 5121056; 130971981; 260175238; 385214687; 5183558; 1037287498; 634873342; 479308147; 646262928; 703348758; 542088716; 690003914; 526264419; 381617482; 63149481; 943522759; 179834948; 243572722; 197868663; 13070463; 1015241056; 829743084; 202596753; 255035519; 1041334583; 90657265; 116796806; 641507926; 33419721; 1051458157; 850604429; 504761534; 174623316; 528886121; 978912365; 837697610; 761155777; 478734685; 777642860; 257043542; 154563162; 180523788; 852645229; 351024221; 283600968; 329852034; 1040930851; 124248930; 130926396; 395848040; 835422834; 698254380; 219358614; 762232640; 457618429; 128009545; 207577300; 388827379; 436262337; 479291931; 1041641245; 7151820; 591785767; 614861583; 1070338557; 177427722; 316846018; 870199518; 1001436015; 108563680; 175225406; 340979407; 11010925; 858128691; 693427660; 731405040; 1003600134; 118387166; 778619362; 346586665; 684946631; 760588871; 780386002; 849379982; 917775942; 1036767244; 151211358; 853464460; 505995844; 185965274; 1513423; 448643288; 281008716; 722441728; 109721766; 357521484; 301305119; 430849337; 312402019; 581838645; 1001391023; 678899439; 806949102; 62923938; 192320291; 524091991; 206084447; 235531899; 62668474; 216333148; 374323863; 915406842; 506588703; 613629625; 499873231; 55631830; 201865976; 199741289; 9483706; 561128019; 271243350; 581165006; 69661071; 363233267; 247293094; 616622391; 689074696; 903386588; 890823924; 811624165; 841474270; 733076298; 231378900; 452995658; 92841743; 935945413; 563828570; 620749508; 424292754; 183480833; 920577705; 554862412; 224651045; 1073443933; 857082281; 457661897; 962818980; 158360195; 469404680; 129210147; 244611515; 359601127; 555131664; 402417106; 537621084; 730423042; 828716488; 683478925; 451541615; 506967880; 381423408; 233637889; 238505118; 693236635; 729661800; 241873024; 370828335; 843044666; 698628908; 968340085; 358120668; 541320035; 950534975; 207838000; 290411853; 201513005; 195401746; 451328153; 440986631; 360101818; 923095805; 77142043; 19827058; 419651840; 740146583; 905177043; 655634685; 556338850; 640460676; 857401688; 493917157; 725800153; 231097683; 677433895; 108829587; 771422776; 689319441; 419054702; 39319943; 248276793; 630557226; 559351082; 258197988; 958632689; 337559088; 991116526; 773162758; 33585976; 353615848; 507879935; 646282857; 352564125; 400380633; 539708085; 35885481; 15916973; 732659413; 827219633; 252149863; 88267781; 572079042; 491684625; 272016433; 523047918; 281582972; 1038808293; 31356064; 544842588; 797464826; 747143930; 928867470; 699439654; 335313714; 1014197729; 789385643; 19559434; 218071068; 706246966; 931406402; 391209173; 631316289; 1021457068; 904834081; 1005265648; 937227162; 598311728; 446866003; 521243640; 488211293; 91902972; 542934219; 15612429; 762003057; 942050553; 40284759; 862560092; 410264237; 47528322; 754189000; 453364316; 554182422; 488664557; 632767985; 997854267; 921705926; 1015161414; 510895637; 584823061; 933361834; 238938095; 3682485; 751776221; 1053032593; 277711147; 214428241; 366502556; 479302430; 617432640; 341465706; 647466113; 80665589; 910766622; 845140041; 24675597; 337048598; 482827568; 917405414; 132673677; 979884585; 816526566; 981606950; 62790003; 714869151; 772447626; 504416393; 287329651; 533339095; 671978228; 146598153; 227987832; 880062863; 64115113; 1009895680; 212595852; 81901467; 615124899; 954097974; 1064281680; 100458689; 826564622; 942770995; 1056882535; 134087980; 708291841; 864344401; 715616218; 1024464307; 347357136; 331914561; 941426533; 150037418; 987764989; 905019710; 890131723; 891764393; 599951834; 128527712; 763142237; 214171160; 922835336; 6251335; 719036442; 155790429; 646063755; 801984184; 607489142; 1047564364; 349445159; 663211739; 186721833; 38128493; 988212357; 127787386; 861481579; 979692513; 890709099; 174842490; 464230651; 222352970; 646831952; 412145083; 626577357; 1052545031; 681243041; 70605950; 47088784; 262140364; 931865056; 775064787; 579159569; 283085748; 926643355; 28143574; 10000403; 368524738; 833615561; 52699308; 271713529; 487114770; 490296232; 316655842; 661237678; 343542375; 727619318; 505312262; 352379560; 453971886; 676758550; 761960753; 243165976; 593655245; 525398827; 299265885; 914031240; 1061520128; 212148906; 219295282; 546600979; 278444905; 206832352; 970230241; 602443340; 694423585; 389942633; 919271543; 612464396; 414939665; 44169751; 724131270; 812697418; 66708427; 154210613; 435033402; 689455087; 927959350; 6802046; 101521888; 131383146; 503270865; 272602613; 440891594; 514722591; 913470289; 640831492; 1063593401; 1069948755; 931895129; 798431982; 134655976; 1053660300; 371789105; 230953301; 289275644; 846301305; 317079661; 702374978; 427823644; 1024319175; 289389733; 175682497; 188951686; 348018636; 504785947; 975654351; 439024995; 75209302; 300890943; 833873877; 1420545; 195440810; 555691251; 523961915; 531563568; 194408985; 442264985; 572473840; 26742295; 651280939; 57369038; 844717713; 981904498; 399442015; 569989614; 908891946; 435519815; 743882597; 275627499; 799247888; 214556845; 260174966; 422859012; 213339255; 11129664; 571227893; 575492624; 399363168; 896334823; 831218239; 128254272; 497048196; 145524418; 969296276; 249322649; 559909829; 484955470; 1044455382; 782914955; 1049531496; 107724359; 174249360; 778693056; 852438097; 561327450; 796786808; 1027376233; 57333315; 924276129; 1019786046; 580313114; 64905669; 560276706; 645533963; 68096301; 633989248; 685645913; 953525761; 437425048; 117932599; 71058712; 590791596; 1186870; 402129021; 539125124; 819994794; 442921520; 643839019; 515363362; 327604109; 714028430; 662056666; 999426217; 933591413; 272158427; 711227400; 553000564; 246475431; 11998859; 930023339; 605166895; 258797953; 885455312; 1005609205; 153500604; 438395019; 1015578712; 791995951; 911673918; 243426142; 714124086; 448223029; 755048869; 992687071; 1044039009; 291409113; 839527440; 1040609033; 232880222; 698066222; 947142420; 899975647; 766551912; 94854772; 212519272; 23142158; 482192760; 830416864; 837929402; 426672201; 850579709; 40972672; 89304305; 664764204; 591438682; 168557319; 609379102; 434295888; 21606093; 39282559; 579306019; 281367056; 569746351; 336871574; 981696586; 392388111; 71386950; 848842449; 594186076; 248776694; 977895160; 497913943; 1042118284; 1011622201; 328513768; 607475212; 594535179; 894077525; 898726768; 957861301; 626574191; 206108828; 309043531; 517526061; 48921498; 783462708; 408836562; 641455259; 671527188; 144872023; 480702227; 341460769; 426223970; 322438568; 940048001; 879275277; 501210751; 590405669; 40946485; 588376919; 133015324; 353263367; 738432510; 445219358; 984865487; 949894135; 126854802; 502875020; 167176461; 614324579; 17314968; 398289791; 796171214; 165275266; 186219308; 707504143; 277892813; 270669170; 122030966; 83815815; 4265009; 687433864; 646200184; 228404810; 275072216; 312635349; 114423462; 127726222; 532883365; 541585421; 652874921; 839553856; 445782145; 923362970; 935950562; 169175759; 361419312; 900618759; 618463945; 337465415; 184962206; 697023174; 454231774; 551226982; 261866841; 360402643; 171791213; 844262403; 426715896; 871970765; 32823226; 730423499; 966351294; 218910399; 626489770; 46387342; 355250275; 106443355; 571697190; 958848413; 1031920119; 1015295721; 934546736; 827063922; 424984452; 335470996; 452953785; 941761511; 184346380; 996949946; 198051712; 638264802; 571943045; 881503604; 13435552; 616440703; 924301973; 1070301965; 321977030; 219830124; 210116541; 546090330; 273111029; 507852374; 616453648; 41892353; 393100048; 119309107; 395759844; 418567477; 110898325; 203191406; 133296989; 667193502; 799627431; 26246570; 951053535; 411808933; 422218193; 2388505; 852445866; 988004787; 720235052; 943127116; 748004417; 875338505; 281236254; 754841931; 16315527; 184119398; 297581371; 119174540; 869932483; 567498340; 236026394; 729961821; 290838607; 360991758; 781175883; 246678695; 174977252; 330846188; 436817823; 672827637; 767184510; 1013882888; 1043673808; 790639667; 347623413; 677543332; 895898890; 519634477; 983296022; 155723926; 510325433; 755451411; 917506923; 144759136; 542412298; 160592668; 297849495; 729021249; 606076220; 891989724; 47632954; 822656261; 816071160; 290032794; 30847858; 778021937; 425238049; 607857943; 1028200551; 873687912; 264615473; 736862477; 690715634; 793754184; 777174013; 443076776; 468702481; 994756264; 594480219; 356656070; 31793266; 650655360; 1059897607; 527431897; 311871219; 1052397604; 699572508; 465455044; 756588202; 185433342; 354333696; 775345464; 325948622; 596870841; 752547562; 415697566; 320661785; 13476768; 932598306; 628530234; 503622511; 302789562; 79214218; 930930630; 314986172; 44108388; 927251804; 938032003; 941552552; 803196944; 194931925; 39706747; 217043298; 49794451; 9174024; 591567462; 570005810; 124821465; 471168998; 469024078; 267145761; 227264551; 380596000; 412597771; 941585784; 444810409; 434942157; 601110793; 910919968; 90305384; 591446685; 133442339; 684801561; 340202142; 359483778; 264473430; 479513871; 653748865; 894039895; 149323844; 347519994; 828218479; 843855230; 1029684112; 1011789228; 134075816; 100646335; 667049071; 275109108; 559466645; 667165834; 17901096; 483778646; 998993361; 639506355; 398652947; 477200670; 251345308; 485120687; 760555491; 608658687; 878561716; 186295480; 935556643; 709077341; 275105226; 840216610; 747915969; 930723246; 934055464; 75815597; 706623596; 251207138; 876418282; 1021335759; 834626470; 959231562; 287851966; 610838963; 236016698; 921223465; 942524648; 772677986; 1048620926; 224592604; 746671129; 853657972; 1025617926; 347568273; 918655963; 392342307; 562985687; 252345578; 501339294; 1026379948; 794812885; 364701017; 887418006; 209951733; 549983634; 194200496; 763184813; 821535983; 161976739; 130759169; 928498970; 757894091; 194311452; 494811290; 469593074; 26754400; 1070194157; 246939533; 180637824; 105656921; 883876968; 546986717; 574187689; 557478942; 442047424; 335260103; 697342041; 75947594; 752924030; 547850399; 56784729; 246314178; 500035158; 662353296; 439565113; 818923952; 406886258; 45663944; 500684439; 162969448; 839324179; 822160650; 325934780; 526808827; 830590246; 837035996; 101011844; 734448094; 77060177; 774369531; 570095007; 558387690; 912591814; 653791457; 928669567; 403920414; 927522221; 775853317; 214264864; 639535790; 1012764756; 424488438; 716967237; 439686640; 34247511; 863320199; 112402400; 497558941; 635795762; 589188768; 434596902; 869794734; 104935243; 53882479; 8415713; 1045767826; 919412860; 786126815; 199124478; 432235016; 68043851; 529007171; 910214212; 617592732; 492577134; 441342723; 590131408; 785524091; 120811969; 695726357; 675400184; 711199389; 426351429; 349807807; 64735337; 76693184; 204406381; 996160427; 272814539; 1026988355; 927876634; 53466134; 326170990; 354902737; 141411321; 827528240; 960398286; 691510553; 1042150940; 493706489; 887394505; 1005636399; 406994122; 136445769; 1010220875; 271217882; 1052766435; 70763006; 436451556; 920081207; 607230002; 851357009; 272019744; 70788539; 576656201; 620453378; 755415197; 64055500; 419200337; 642807054; 111737502; 743087434; 902254852; 976076805; 101931366; 550441645; 101776346; 632598338; 508157648; 500687997; 439283325; 289836067; 1040742431; 45389530; 877405393; 1708575; 119681190; 529821771; 783560253; 578078576; 753622504; 633591735; 567930167; 1050415839; 137546105; 465503608; 405955906; 735023248; 687298774; 50492766; 852347291; 684951641; 919900189; 991618602; 144953357; 804147951; 355775424; 510456892; 136706098; 1051850050; 748342499; 512679224; 900384155; 808058221; 167191549; 390578768; 24224404; 277665194; 72993859; 988581854; 429433584; 384327895; 703595720; 180989520; 387216226; 222297682; 872109530; 441069021; 964278564; 228313969; 390025651; 292274477; 694433276; 114723428; 911201563; 522132543; 971824841; 779536391; 123105904; 103677858; 918866154; 234944240; 298620257; 391521515; 352293594; 625060243; 458218062; 319702888; 891387625; 88462940; 810751114; 1029602804; 192295105; 253434948; 1031459143; 504272518; 421380878; 1026810138; 596019374; 355724331; 376679604; 400533279; 235025035; 431192200; 126245572; 270031292; 1019815063; 884709350; 426084683; 250060872; 228012297; 758972084; 128562950; 538678155; 544123432; 369080662; 968577638; 731718547; 478288871; 633186758; 835252152; 90550188; 100786903; 536656998; 87046319; 1057019807; 530118746; 128486249; 550380403; 920270405; 375044120; 214709626; 334235958; 509253850; 437779824; 356890706; 474144766; 612205505; 915112913; 1062720552; 163691010; 609951439; 381245715; 322769637; 428135056; 1019162197; 329273541; 852729539; 435606136; 989176563; 1010122054; 595926018; 659089971; 227438511; 291362998; 81490957; 254975793; 8052632; 348646284; 372443963; 705322977; 464293949; 1042775889; 667409598; 940799259; 769547301; 322231955; 448824974; 761795111; 804008875; 249609336; 988339509; 296317379; 860413509; 439736303; 788498902; 810983505; 487784436; 54881817; 881718312; 227330333; 465815225; 1034900916; 643041981; 354134290; 318377752; 635823957; 461319251; 400687696; 97964649; 443347748; 377159852; 181824097; 655630051; 1005717497; 602151068; 975648285; 719054114; 94530976; 239454604; 928422180; 319388175; 282601021; 121167721; 626913399; 754328143; 1039814416; 985049869; 553208038; 500623842; 770053641; 375262545; 599191481; 1006633353; 31983121; 683566176; 668945821; 788176354; 166919543; 516706989; 686042940; 410721409; 440206284; 396719237; 251165009; 869534664; 434161322; 726818068; 1008025073; 227837727; 182110632; 591598609; 77776305; 959723017; 78817893; 768595417; 204368073; 655999856; 913001526; 229442061; 333922307; 475594394; 1010953934; 848104592; 391144614; 654787971; 751377683; 113195292; 671795442; 182170031; 208274676; 712670389; 29378380; 568772804; 856589495; 152572375; 437988907; 943470297; 478293146; 14256895; 589799461; 743074565; 989688787; 206098503; 224661329; 825095875; 200755308; 308283533; 263345997; 180032665; 1025479553; 526580402; 300542877; 439944796; 255370695; 322536473; 650671903; 615839292; 1039769399; 92255035; 1048141734; 701284530; 595486616; 88869296; 761623082; 517335252; 239893257; 172672919; 1014004879; 1037990245; 101327363; 573612331; 524742155; 146904441; 959736285; 692557777; 1072891585; 897762601; 229786934; 59503757; 709068664; 751302114; 87116988; 822018077; 440539537; 519243513; 131159505; 66021319; 141126310; 888877365; 84616168; 330329338; 44484721; 89624563; 820281353; 433144219; 186541804; 902805419; 286813386; 537784377; 257278841; 377794421; 768528525; 500809353; 467903224; 193517434; 1073271763; 486554368; 723854949; 619994536; 797151322; 309564151; 408150866; 544304817; 818536200; 935557880; 755258889; 1006413633; 611743585; 164788342; 722505654; 650137086; 789063640; 788548710; 652985271; 332191395; 760535024; 1032325150; 1065024241; 366687852; 879891759; 1037368497; 639769891; 659051855; 189794005; 13565005; 999002866; 169653862; 468178733; 942907554; 886261070; 949601109; 1021689107; 380667000; 780305379; 1053090937; 326462493; 978125863; 835208899; 231723715; 51640921; 831242446; 324922245; 387318920; 711786491; 735264755; 65725402; 1026418818; 264014569; 131079084; 662404853; 692844589; 761117531; 1022447043; 944135870; 757913264; 675692095; 586193082; 2190678; 378008204; 1627691; 608174701; 816631630; 273659698; 999928949; 36123079; 604991639; 53241046; 49014740; 941683445; 859553142; 735735807; 29660470; 647979858; 197191068; 224638325; 11030398; 648505686; 385954895; 1005260116; 997223981; 857691547; 981264459; 979422250; 205150204; 133851057; 1035092403; 732131422; 752798202; 255614321; 914456465; 524230388; 288301029; 939152178; 110138017; 540614614; 206925208; 338650064; 348251477; 799420595; 493759958; 44439429; 937093074; 993069561; 405073371; 673474304; 761114303; 818283255; 372572332; 460830417; 174961478; 856160199; 795267759; 506852708; 56439454; 632876860; 897082489; 898913329; 426243174; 840989985; 244981807; 904665990; 1001063434; 1057635769; 679905643; 1071799218; 765913855; 1061996468; 586983104; 473291090; 593790253; 424221653; 392808218; 837067658; 426232700; 805576633; 716799247; 88674623; 5459104; 531732226; 305172516; 282666715; 698070098; 752637606; 398093594; 555219474; 1013988061; 55489130; 335524047; 54260268; 649308817; 784304676; 1066658187; 594291792; 132489223; 51022861; 475526; 318900081; 253490740; 750204823; 923784224; 503266610; 526985539; 1031147073; 1056930632; 411571015; 705824454; 762890382; 921518243; 941149046; 899061436; 618128438; 430305718; 63328752; 902357809; 377106045; 240844861; 737115886; 557530813; 712767994; 27595000; 847169656; 919220669; 617939622; 447041652; 746580110; 681785986; 535556777; 984352302; 221623679; 1067161028; 194413286; 887500482; 837968196; 335359592; 364648661; 1044889573; 367392309; 442469278; 511097849; 650611098; 103311015; 648897475; 123068313; 974509414; 1057791260; 707910822; 794304922; 23971268; 949573920; 1002924748; 826755885; 914536572; 1016393585; 295821090; 170829958; 573881489; 350490571; 275933191; 166691053; 892501386; 676340523; 140192060; 564638220; 113427238; 392440717; 63374764; 1000397295; 234233381; 376125121; 629379897; 237148802; 700604450; 370926882; 800876370; 184877833; 152116334; 475822334; 694311844; 85870731; 127126268; 584519988; 21299818; 324182360; 218195689; 448271572; 316651036; 764387640; 666053767; 641337208; 546225953; 420568173; 9470964; 43373402; 6460034; 238771697; 319199434; 726548602; 1049362308; 554905436; 435794712; 815489050; 89233660; 393711581; 1045447781; 417625155; 345717274; 236120663; 470018911; 176019969; 209866260; 256189283; 263679629; 814222077; 941558027; 672724611; 843074227; 479206998; 288821386; 973197203; 890869048; 270119844; 445016271; 962391203; 888792018; 1072075764; 519271056; 333164667; 46241357; 249131382; 707508431; 608837752; 1068331538; 287954500; 965837429; 33906590; 995035116; 490321056; 920571970; 341977654; 251233458; 268797907; 608486247; 567086904; 641946758; 620909125; 722695237; 561715635; 124888883; 711041427; 906589693; 1025643308; 813597176; 121598040; 93590446; 101343501; 71239042; 309804519; 879795010; 364859154; 557115883; 351789738; 320090226; 12404951; 453957675; 61896997; 537331777; 365892710; 741009766; 1071563239; 855090105; 448140017; 933059986; 44953723; 1404778; 113096657; 989789642; 544873736; 541967607; 895467353; 1043158670; 845986037; 877399737; 22898246; 431365783; 205096110; 104783232; 1033897339; 420515561; 371055279; 721022932; 207571346; 698299090; 509312869; 682549231; 741249595; 831679668; 596049754; 437731493; 847620871; 754781871; 107207553; 1029157031; 56960797; 812557152; 579767260; 49415718; 132644733; 597364741; 325818363; 56478194; 72529978; 631251145; 763616156; 1043450398; 365471110; 114419556; 937789457; 417405279; 1019138292; 20008054; 645885160; 153839601; 454048548; 98745079; 536837666; 184746802; 945472251; 22274976; 916997827; 946189513; 896819091; 677875929; 850125522; 709040800; 944274336; 765777978; 1069726687; 336117424; 302297831; 827313986; 802877579; 472014593; 929685905; 533640105; 1011368265; 733369084; 536075118; 505127547; 694919847; 134442428; 509769849; 628042642; 562027754; 23900349; 990092169; 493811113; 643470304; 429837726; 875536819; 632235943; 959422010; 411684932; 848370936; 342742431; 1063254855; 179576918; 478349027; 577054456; 46884567; 50387489; 293615222; 710982633; 720044837; 683142179; 431413604; 188297574; 959876645; 738182370; 307930790; 422981710; 629377601; 977208519; 859477721; 962636736; 483998234; 295111125; 828910862; 477870375; 963417656; 644758816; 930798150; 899289023; 116844221; 853862278; 233948894; 697835094; 168787219; 484191368; 680955023; 464937045; 705547127; 896667302; 194188607; 504222379; 725321363; 152621549; 247733014; 520062248; 661984454; 192593565; 304080802; 214952952; 457918689; 863441699; 30127461; 1021130595; 836081355; 1020470326; 531938926; 887060819; 532008789; 699401768; 412965185; 649461163; 449546969; 3268309; 845450103; 1027490705; 771408835; 968260911; 890305379; 274497988; 700713571; 574503945; 1013255183; 446053905; 65054226; 498222476; 885004881; 134901719; 867891098; 1043205581; 128502782; 937415815; 585294875; 216151757; 964048916; 191829024; 890804686; 869773849; 948267574; 340584869; 481058575; 755459151; 368346517; 859607619; 409186640; 643305284; 375743159; 72335719; 995066517; 619163873; 903451388; 456669431; 300694749; 588010258; 240223654; 452457676; 38939057; 349186535; 61711271; 182918988; 445798202; 951718340; 825438313; 479751252; 397675178; 122164652; 481001132; 314222336; 521679043; 858729943; 955094223; 666536524; 39981682; 918296638; 362009962; 530227385; 291172056; 544987048; 32048272; 162401411; 593137518; 855769847; 647168550; 483770488; 954874071; 465357487; 783440622; 979794557; 430747424; 112050794; 1013060995; 313985582; 404836328; 225590054; 924497819; 132873285; 69028634; 256209688; 798074341; 712450535; 359350722; 640535501; 741827724; 672775700; 585341420; 685917722; 78295823; 697947685; 653079188; 165266877; 990486346; 879532909; 600785792; 97181688; 772737178; 507724152; 272472543; 504418283; 556203033; 32455960; 583013257; 29355382; 618975147; 562621100; 553782625; 517331217; 21417200; 179918711; 521599636; 781060033; 179087078; 647161577; 776531922; 617711915; 841591985; 1016272187; 754733580; 386948664; 644152231; 842896140; 6624565; 710329462; 846578471; 1067586863; 441125795; 800379597; 559519043; 1030732599; 1040066438; 461544014; 165904855; 252656830; 300786262; 157312349; 251328670; 34128798; 375980801; 1045610723; 817947372; 983409197; 412007898; 895892678; 870686733; 103505987; 884859317; 737523527; 863192780; 841856853; 580687300; 300492491; 1008707080; 15500606; 658857088; 121787167; 671684107; 214214918; 582083730; 443466809; 249584703; 139585057; 671648436; 707620365; 628652295; 283810597; 47266234; 947378897; 519858929; 681592011; 411018742; 16555110; 10750011; 968177419; 700328084; 579024049; 539247893; 112683595; 518137642; 467041060; 471470835; 381548090; 398903768; 713851947; 702564133; 51469253; 512114440; 467880720; 1047767416; 94653262; 379703356; 203141051; 854444706; 903298303; 547308072; 625932572; 735892033; 375354652; 244311739; 16988782; 998016822; 701054869; 830244361; 130913300; 771343151; 511871245; 761175534; 428061250; 918916192; 586254125; 62565767; 105252058; 795939432; 1028479851; 764950964; 1016878588; 1064395938; 229199262; 487471797; 568954736; 19157070; 620872659; 694695952; 991207404; 815909219; 655297004; 110087449; 588569500; 469474990; 401418881; 876943277; 942361273; 536972971; 787507798; 1052319756; 806053851; 214044393; 216023411; 984620999; 1005627164; 147564853; 148883099; 1038594651; 795529550; 1008902820; 195468486; 973346938; 359162489; 61833662; 501756178; 479900056; 928934405; 71821044; 608447520; 1486996; 100935639; 388590541; 665893367; 339052745; 841929214; 1031795718; 579927282; 868435879; 979257719; 838939485; 551441346; 335044321; 748357193; 864461449; 405492072; 315005944; 507131992; 18789284; 561916947; 36253351; 403330631; 709680956; 113826691; 735462068; 674828688; 159824187; 916992706; 566781902; 675028233; 793513476; 329973114; 389526615; 40981317; 557986505; 982671876; 248055430; 592304558; 290861137; 951601601; 1024044029; 801613929; 631435211; 421298681; 1073189667; 194752781; 909636048; 901545686; 852600225; 813725851; 175038769; 450150060; 491096528; 578004320; 364416276; 833520506; 58261383; 170242790; 617299839; 318331674; 629616517; 31905254; 918559701; 483847355; 750246717; 626234226; 818302046; 1061556820; 109120318; 344674166; 851639650; 891485975; 1652087; 134402415; 1037214052; 293002898; 340356414; 527800669; 911418058; 417532977; 482254925; 893856725; 544202841; 776939629; 105738030; 47963349; 944793428; 407885011; 409630212; 551509422; 306919885; 223186313; 181729162; 835627799; 1023556261; 599547578; 493468566; 483636482; 130274598; 609265353; 303278064; 627265889; 964300793; 837783701; 46438203; 341764524; 728320663; 432478621; 582036528; 763093092; 547715454; 791178769; 907842045; 494888104; 821164122; 585291986; 367104334; 512999713; 913892629; 184891923; 738785367; 853411215; 782732858; 229397677; 366934485; 992721796; 806564863; 288073986; 67100887; 973209431; 920270702; 744115958; 686591109; 101141119; 331193065; 687753346; 992726342; 540415834; 384984285; 492527535; 357510643; 168102125; 792806981; 27808827; 282094077; 201705453; 477591097; 351192980; 141907734; 99768910; 10976585; 20491582; 2835086; 1063044234; 786230648; 549616563; 866788749; 500427798; 974967469; 986042741; 226814948; 408052888; 956167747; 431505368; 968659278; 918514146; 573285334; 290516162; 109321694; 841688039; 1068329819; 251905722; 57698714; 742911908; 152881764; 138432990; 155960712; 107278403; 292571805; 839216514; 874344142; 28633614; 1047028672; 843563722; 685396639; 379577854; 356644634; 383233216; 1042768261; 209588297; 246398713; 339163511; 743740617; 640851599; 841933224; 714741294; 116059647; 306693373; 182508316; 191226586; 501487129; 765121024; 1035054100; 589540946; 105184796; 1035649483; 92451488; 647617460; 4092061; 504702811; 604880521; 276903106; 1059319870; 704128597; 317237128; 412466566; 269665865; 513542904; 455018449; 305150547; 795650531; 249807082; 976396017; 974018524; 120812655; 1042048717; 855387705; 178624350; 162826915; 950834662; 906170703; 190624512; 921651589; 776775431; 930421658; 812485915; 624663989; 576178314; 1053742179; 299259150; 240386913; 892131394; 467976473; 311906027; 140291516; 614001130; 186528875; 440802554; 133465011; 446999189; 179969207; 584321895; 323918211; 344345603; 61929242; 225775587; 347921263; 708171966; 682429174; 543724454; 700966503; 923817296; 1060889018; 602212912; 845087928; 956856798; 709195947; 882463375; 245882945; 878271418; 1028892139; 323691814; 686233173; 733577069; 824039518; 787982418; 486613185; 411435257; 350650379; 746401499; 229565230; 670355145; 478629999; 379994009; 338847155; 43016348; 167026425; 28350893; 954943858; 382622844; 689669410; 55479911; 402388994; 104533497; 582936174; 277750428; 984279066; 823100298; 295912501; 502846216; 20931220; 530571520; 167674364; 506326213; 432834376; 877474172; 3792497; 588608664; 687412402; 1047600718; 159403778; 201780492; 643737029; 247427198; 398564467; 362146321; 978087785; 1012357977; 183228010; 151886437; 870239411; 544832730; 356282265; 986764412; 340872159; 404062539; 450129246; 890868741; 239580513; 334711427; 373000760; 706560240; 917244121; 562073796; 212750551; 137258905; 130158820; 451367406; 250074228; 605629354; 255364438; 874829220; 329496546; 976667801; 414182304; 162552783; 199489914; 68793082; 498731569; 650483063; 825937923; 299542309; 401877077; 566750355; 970496470; 183766210; 799623453; 946455745; 968956798; 712886167; 604332056; 456558639; 1014729903; 118395708; 580442814; 1000540261; 171734531; 790984623; 88829546; 561183493; 852509996; 736013039; 432947359; 1017304394; 882723876; 108626348; 340236543; 299314075; 731169893; 936063212; 984540383; 61393103; 53717642; 320437182; 691565815; 338427714; 822253790; 6695928; 598006452; 422114192; 954676194; 470217636; 402405861; 586291127; 300663640; 573126051; 595564533; 746871423; 943779462; 141735748; 225699571; 492152704; 1018594428; 956305970; 550211196; 923984709; 137308838; 308177678; 724674536; 144528971; 354984218; 427573692; 202209032; 650701880; 338584386; 69507630; 819017668; 685855745; 508968152; 422580834; 287627641; 100269273; 775217268; 189542771; 709585429; 290701193; 279222022; 7279315; 1006497055; 236180868; 709499938; 122176616; 914609914; 888462963; 846392222; 748489304; 1016883625; 251833703; 349392424; 332592166; 58103229; 139119029; 443461433; 188566775; 125598806; 113300166; 30622616; 529104769; 615767860; 87473152; 1002997319; 504033237; 85511729; 433003065; 146738038; 987208922; 459511635; 781400743; 232007693; 907101724; 893240617; 1046237902; 417030958; 582733653; 493517409; 445052493; 659515847; 490824727; 708601619; 125254170; 550475079; 471502023; 164453749; 225218061; 342595394; 808542111; 21330220; 126602634; 278498739; 707731681; 1028919397; 231064181; 933543398; 623445662; 923054604; 604592734; 510270242; 995159327; 685794875; 797571736; 239828935; 669712144; 451151740; 516248641; 70298171; 258439598; 917550302; 155632555; 979000653; 48401403; 906817376; 673419824; 661264079; 44423386; 438860287; 492544547; 440816538; 492896289; 480180965; 683586603; 354026496; 206662500; 288392272; 349859185; 479887855; 199077694; 291582402; 290409026; 46781293; 969552392; 600835534; 145174884; 922991774; 363529308; 899201623; 876131342; 672435291; 28928973; 452874306; 1004883961; 321194542; 751803056; 164274003; 323651357; 117636477; 146639277; 3602968; 447569471; 889888977; 973933216; 76244071; 955227871; 1021845230; 476229618; 409859959; 136949810; 1059617459; 80583592; 733103078; 720215356; 200619353; 404512543; 594774250; 142328604; 564983699; 613293791; 897141598; 63512692; 40875364; 74684434; 744904905; 720932941; 1022291750; 815801468; 100533875; 200687323; 881572173; 833123123; 251343989; 579155035; 217102249; 325932896; 538126087; 399266330; 415882472; 233657023; 1055818319; 49699522; 577484840; 98607373; 616072406; 109561920; 918498916; 172378945; 678864237; 894636374; 375865338; 771965552; 921189001; 276160584; 908213524; 272932269; 183854242; 299539993; 982309140; 3636903; 1030185686; 54807341; 846020811; 1005791279; 388307098; 579642605; 581820504; 355412051; 735243974; 82131560; 81014057; 733082419; 565103574; 644049836; 376901321; 944117097; 719633268; 502284639; 40093480; 744500300; 593575333; 517498481; 114807133; 483422837; 825621451; 132022100; 13340150; 111638334; 948674018; 406614751; 654436646; 190653421; 983041101; 1054785708; 867996902; 59241786; 14785332; 1055247032; 5249446; 903034252; 60205725; 862427508; 437966767; 32052325; 920189211; 664959587; 155644191; 237908639; 1049392851; 190992531; 724338744; 1051061871; 1064053341; 221811131; 710681339; 491152633; 362676855; 914880257; 893390909; 380859623; 459673805; 1044185622; 199728379; 235040486; 201171529; 49925716; 844296594; 946755906; 672450899; 251847948; 721452240; 710940431; 508917552; 702826543; 173084817; 295777562; 621242388; 622292088; 72848034; 612112720; 789646077; 305278341; 800702017; 826572841; 960127649; 602057112; 1026070953; 392731367; 856916119; 407834321; 86402621; 232868381; 371653547; 206059063; 986449055; 878057190; 328197213; 144953028; 1027590286; 917070848; 664526736; 61734533; 125332924; 651804375; 128017537; 19127224; 756335360; 405690029; 342693232; 842913123; 349252598; 1007334383; 447339824; 122209110; 685186172; 457705041; 960846620; 340329209; 592214818; 1064333281; 285589230; 17196690; 609432558; 455175634; 666000657; 600327621; 913081421; 458353446; 406464287; 1021934725; 935068666; 312695346; 72164442; 117281873; 633969987; 235519191; 928890884; 668608217; 683603716; 419640960; 567116988; 458876481; 317405805; 521320765; 520588733; 10376992; 130230465; 729821713; 193556336; 917058118; 460689707; 264050161; 320427314; 78600455; 556691761; 394096216; 646271336; 361499374; 582951342; 506369625; 240532466; 739434206; 383266317; 94931739; 975328061; 393678397; 1014297986; 618177741; 397776277; 34921757; 304411805; 396534600; 517045119; 527316002; 682016951; 741031043; 162567938; 575703966; 271903239; 946019165; 595587126; 890840591; 154811215; 702319772; 36479898; 958058407; 346539288; 1065008240; 674245376; 242059980; 1030184867; 276208785; 657217986; 730241206; 903218322; 399746538; 809502071; 265232841; 57133544; 916658187; 1040630003; 926314699; 566411617; 148397458; 220615892; 17399264; 256940954; 158163693; 549295776; 848431883; 77349067; 106879658; 709245297; 854301575; 973895913; 254749415; 530615542; 652241340; 985546559; 138080659; 741744785; 894949576; 885903268; 528991622; 370998820; 304374261; 647550022; 746209670; 987107054; 481950439; 349238783; 253104090; 64536734; 204684031; 419187393; 1022440448; 347989627; 422590275; 6217896; 941204437; 858722778; 865850272; 142609315; 234298274; 299472410; 77818983; 809029933; 388280151; 679326266; 291405393; 21569214; 957488647; 1017784129; 1062571150; 1047954919; 986662996; 791193554; 397016879; 616215007; 545471489; 651781218; 317894196; 483932777; 71758227; 650942856; 662066413; 751425055; 857012847; 451510563; 589414199; 418193049; 418100274; 653216122; 919584779; 1018120944; 1052901893; 280230675; 951716976; 739267744; 944792329; 1054651736; 613912327; 761455756; 595065914; 414489044; 574620715; 680777048; 358571730; 964787070; 946525113; 717615813; 1017768533; 247982747; 1024827438; 310174248; 145943548; 638149955; 106557854; 904102612; 693655932; 721440044; 618771364; 172010607; 1037654269; 347396948; 671030131; 378635764; 866541284; 698735420; 324993497; 973835026; 407913154; 449087681; 373058145; 896224702; 42823094; 862251526; 140835270; 589483108; 235135855; 18095969; 613320886; 47346229; 390371034; 752193809; 849815171; 96676839; 821944553; 946508249; 301894413; 977474887; 619662001; 319439031; 438122702; 398379406; 498722975; 374090297; 676598918; 399817455; 841479886; 927917396; 1071687431; 1051492796; 1055480682; 517815300; 278521937; 370236931; 363747893; 391770701; 711945747; 131108526; 853820836; 577906699; 206874677; 268928850; 221500403; 70782557; 524874013; 240318169; 478385584; 607871577; 561265020; 485630311; 49814464; 273376948; 275754739; 328489055; 625447281; 131172410; 1065377728; 1019154907; 840275629; 903542728; 819371649; 420279789; 832749885; 663535128; 409559140; 267697406; 115709211; 256846959; 91130326; 971526017; 508607869; 919452106; 553742746; 251164563; 250212564; 519989334; 43621777; 1004553186; 18369682; 281560358; 5786595; 633513936; 968462725; 766892018; 221394815; 1037680109; 220612185; 841556140; 316894613; 1058042152; 682737306; 976616192; 971225118; 273540632; 992553112; 219175226; 373087443; 1049634071; 110287914; 399000269; 468810310; 542462114; 1065281309; 800315650; 210986266; 448894570; 697963216; 465740665; 1037624218; 309608344; 595946525; 848640862; 463803814; 655867046; 744625867; 69132790; 950807978; 16267344; 409913994; 350925208; 660455945; 401011707; 857580565; 841571209; 672281288; 273348434; 914738557; 832988677; 610030274; 856089695; 191260444; 232871498; 643283300; 1012260237; 500004658; 405989000; 882997720; 271485375; 188359698; 342321060; 93952909; 462046362; 517643582; 761545256; 1001146907; 279922899; 748101397; 627242248; 541997774; 768001422; 224075168; 233629555; 128900315; 788822484; 614130385; 968287039; 18489223; 951060427; 648167844; 691165666; 882960812; 360448157; 179296580; 520145909; 639829445; 125670338; 310936956; 669528707; 973967841; 425718370; 149535460; 1051140443; 33579922; 1036976502; 441358216; 399235128; 8372289; 1020704797; 56600738; 905578269; 636761243; 387446268; 464721696; 651633738; 763369982; 195225074; 739423928; 200828582; 85480198; 707976285; 78529357; 214627408; 283543395; 933774196; 640189016; 667200550; 946541601; 159663523; 536784310; 501450551; 1030200723; 738217005; 657284419; 68779419; 466601521; 190273489; 640998695; 283652402; 715240157; 34343953; 4424760; 1013662555; 242304615; 107633635; 17729982; 123396366; 324683841; 317378449; 945157570; 659722899; 245480700; 371663632; 10956285; 495760397; 95710923; 131354330; 246371495; 1714848; 860586011; 529260731; 439994599; 668266770; 775143774; 682773804; 684497612; 949999695; 348480222; 370218929; 1068036366; 491642350; 101345104; 1038044852; 935531454; 618242747; 988515128; 188375438; 404997397; 956148352; 286143836; 521199316; 907954142; 491210396; 497579979; 579808495; 204085208; 375345850; 678772818; 137567915; 809055410; 704817257; 59639590; 580045427; 685463556; 595680430; 74455939; 635858023; 104986830; 192299451; 577187253; 75443559; 570582382; 791664836; 445540933; 982353945; 24219649; 66755743; 733795543; 325199421; 686502148; 121204667; 390734270; 777740336; 1064741890; 419597163; 784322; 332747334; 473928441; 747312659; 1036279489; 423007381; 127122663; 813493398; 1014338355; 1006761378; 318180041; 464678223; 609106639; 330797293; 129383092; 203629753; 622263511; 214707514; 93107642; 202405128; 893462356; 62717996; 1016975290; 16503082; 532986456; 657797310; 495248292; 1072791218; 280835806; 52185158; 620734598; 1023450153; 935309283; 345890832; 788196665; 754567648; 993287406; 590885484; 103694489; 292592468; 158323408; 59603352; 403062399; 389314830; 949854264; 853641559; 591948688; 827404536; 426609; 87323743; 402154759; 729141369; 459578981; 1063479866; 854864252; 931102829; 651214910; 274137285; 794173905; 487002823; 853672535; 997718589; 189722067; 967330464; 847511170; 761433228; 702201587; 818081617; 913519734; 689381661; 263751229; 492066072; 330991203; 501188785; 44515903; 747814796; 165230453; 257599681; 380214924; 944376283; 923600951; 874257374; 1018442848; 277209006; 346060830; 682938968; 909612601; 619451804; 515437969; 9506811; 865919992; 327693355; 479786571; 361555250; 566997715; 60355026; 125885811; 1053619; 430064287; 285461705; 138061786; 839688127; 504467401; 296844854; 209867731; 634298754; 916937424; 891794368; 380581119; 348467689; 161234080; 469172987; 645638575; 854054759; 864787811; 195595968; 735224782; 722414287; 772907578; 112071860; 754332736; 594049807; 214694711; 379538501; 2816280; 782967026; 215793137; 153327149; 577591116; 84884885; 427431178; 199765695; 971916742; 808567368; 485555353; 56287635; 710992733; 732773071; 461810736; 581595618; 237889099; 643172431; 623423990; 890302030; 1036339163; 549955474; 791525108; 637658685; 745411030; 228862385; 156404970; 954346793; 1002768062; 319895043; 81548693; 243725881; 451310576; 31391269; 291076267; 44163127; 292990856; 402500755; 752569146; 480572806; 145336261; 735243816; 387661904; 346756875; 762572079; 261218782; 1048550768; 440815545; 861232451; 485189671; 157891520; 952185464; 122702217; 962773701; 492725697; 632506989; 27986921; 164152950; 80900814; 537035410; 648317143; 982158560; 113650129; 1026056508; 539405615; 293533019; 76167847; 1050199194; 172133319; 282658091; 962873044; 691215584; 679374511; 859606402; 638165169; 232914762; 899458444; 734577370; 129593158; 166321957; 568782608; 949575840; 95543070; 638616394; 117363106; 284979784; 961140518; 937736472; 664594855; 144514832; 1067719262; 746354202; 350936734; 822983801; 49950602; 775228060; 603031127; 455589481; 384247398; 3598168; 21445043; 798966970; 634668589; 933643373; 57082631; 449385653; 616483260; 302542554; 24241045; 785377713; 723672859; 779712086; 65241151; 352460138; 186998310; 445812746; 903565244; 149663660; 800737039; 987563021; 730733891; 805487366; 697209539; 241245995; 1071573891; 11190826; 83250597; 840232816; 346490785; 610873604; 253106754; 815780515; 792783026; 425968420; 249748179; 566100875; 555368184; 610971143; 578683264; 427483447; 10636012; 601311367; 699833780; 389189343; 686042103; 277698085; 209173680; 240951554; 854129421; 102537879; 728945823; 642217398; 1024682270; 566199963; 923592022; 260308332; 493636664; 129658453; 96995358; 45813572; 792561177; 966009687; 315435937; 860589957; 378770340; 702342969; 381235195; 576004916; 329846483; 541070385; 271705180; 937772801; 875969921; 270544377; 640576835; 303393972; 661573652; 261792626; 246627893; 984525299; 849908100; 966511685; 539142652; 476640119; 290759394; 808544239; 1072459204; 954423601; 594246261; 3070677; 711835590; 1063164778; 923887932; 1002951850; 596665706; 646993008; 713005113; 178134394; 917006440; 25950563; 859910010; 393722278; 271226827; 833835577; 298014200; 436176659; 427516542; 406183673; 1012836503; 420110731; 640641169; 594587531; 18278123; 943539998; 897720882; 967968182; 21857954; 531108297; 30500587; 436092407; 369575857; 790729236; 114857067; 874862640; 994796620; 85085238; 774600245; 970197837; 453421542; 197338296; 52467911; 444870800; 341910187; 580009705; 297838162; 343829123; 81948764; 1003794003; 737664856; 633418427; 733870087; 841543361; 310848742; 464469693; 744730481; 892695864; 507975276; 1050145124; 946713483; 429549116; 555907285; 736149807; 91275074; 329484875; 93435137; 1069241844; 956296711; 708128839; 860455235; 349722992; 525339264; 276323059; 771650505; 357409838; 334547311; 530524461; 911504529; 253143198; 590993175; 399413178; 1033091521; 431289313; 933282556; 590649031; 941779260; 282546778; 245816992; 1050734608; 898911665; 391680844; 338598665; 117853779; 1015241400; 789720789; 242167210; 928823486; 184144655; 535084521; 819584665; 436680511; 734893630; 100434575; 209403050; 164128919; 869273985; 598429062; 572618318; 562594952; 509453659; 585318032; 216774056; 548548072; 690196306; 261814069; 622134575; 384784234; 53348247; 1058311334; 727203520; 898980069; 990684785; 825162493; 763096663; 777528804; 782672038; 781629874; 399142586; 433457517; 726167184; 725510273; 277410223; 292051952; 1045263435; 426648814; 580396384; 899296781; 708847123; 1033176885; 741327400; 200891556; 317606492; 860113498; 468813101; 41920927; 338640733; 95134232; 380441169; 1034563312; 42350777; 778450079; 332817067; 791896785; 360162175; 359474637; 124911607; 482272617; 324671206; 837815341; 580178606; 325158521; 953879760; 550793960; 292173535; 987225244; 1066484384; 615267197; 121411560; 319671937; 59477445; 1011667181; 641729633; 24049799; 373497623; 87552011; 825638377; 936612284; 880524236; 865366805; 767647385; 780307219; 1056503467; 947523567; 981978332; 474783503; 316093082; 49088187; 282342482; 711166903; 597233064; 391725615; 320897219; 1048841956; 855164838; 715315384; 191953670; 437208033; 416735867; 235128612; 214102363; 218523836; 624561378; 17539528; 255301478; 699610449; 190043769; 81342212; 630831132; 43182079; 819908942; 992509127; 74510721; 875162350; 554413236; 229083607; 993882696; 613538778; 604153321; 652162387; 744396569; 377405651; 425130264; 207136761; 622416638; 570606049; 17706578; 390122552; 1005708079; 1066008811; 662488806; 1055574188; 304892221; 212973663; 577614533; 82985224; 976511993; 572536321; 484728446; 710270888; 571773951; 227087628; 509440176; 989357818; 17406029; 340768123; 20771282; 709314385; 557901612; 717107819; 835651488; 57084605; 64145122; 104632898; 24537783; 865734515; 611950323; 138873736; 473049903; 465188834; 675598926; 1003587737; 72498346; 525736083; 318290964; 147670085; 456636023; 263439384; 7981635; 771161050; 20767111; 804233512; 572554922; 167231296; 116118452; 858448956; 586941609; 435180816; 805922273; 590880671; 1071563293; 219945519; 634418165; 107592770; 243981644; 206871415; 958072915; 87843936; 813026063; 26893588; 213365113; 788373591; 321871783; 1033630586; 268749641; 549143152; 971901538; 513158645; 42835603; 1067363068; 1068458508; 802757434; 801473949; 57477664; 778995557; 1016135501; 544452886; 963628520; 472280777; 297835950; 1023574219; 61701619; 183042705; 673000954; 723303989; 900596162; 979903805; 540629209; 918597242; 360159000; 327183989; 187719591; 152965827; 770350872; 408900538; 658964698; 790994637; 213280043; 920706189; 867314195; 821557847; 911759151; 1054571456; 96130992; 775334333; 669525559; 235812919; 671999574; 808118602; 484382925; 330711472; 82688565; 692046936; 514598942; 663086628; 302642639; 782280194; 12025578; 502449622; 292398125; 1010808285; 936155492; 640846230; 393738278; 40674142; 348552440; 495721460; 645785261; 534533972; 687223214; 797780437; 302494390; 634841335; 881470723; 1019636755; 920322181; 207405104; 238900099; 971161011; 639202671; 226583375; 945606124; 501871572; 544679513; 880666048; 958171861; 867536714; 174545494; 674309281; 1062960261; 993949418; 851695303; 98446600; 41418286; 211125812; 624871384; 1011566091; 834746074; 1049584434; 501215542; 592029836; 776810732; 442703046; 231780832; 75558409; 711127141; 904700500; 772244626; 867031774; 301086925; 957699160; 500876252; 610687799; 143398795; 841533005; 117075378; 667799367; 179970623; 331237493; 748529574; 1060813318; 57248175; 376158695; 607254839; 1015799721; 1043427586; 98504537; 625680348; 192150435; 1049532720; 709597649; 741604011; 230567441; 729338429; 373738788; 57582560; 493907685; 636004142; 1032013100; 979592673; 872436393; 490823485; 87770963; 158628549; 413061426; 833794304; 833676031; 1015744310; 747520623; 196521013; 950244629; 966745442; 236735531; 20482088; 1042669376; 784313562; 96128934; 999870216; 695357295; 128617863; 1018207002; 990774830; 624328611; 557534910; 983593859; 153184815; 142056340; 30125338; 907630332; 255090021; 807711038; 346778502; 899130565; 460857682; 490320488; 1046693202; 416145309; 975629011; 109946186; 32530367; 960173229; 727708212; 608308277; 751687191; 1042272869; 80603120; 687094950; 119673333; 451774583; 905150657; 642295666; 274524104; 851881708; 498957552; 757769967; 982014825; 158089303; 663158380; 65674376; 580606044; 621995486; 665972205; 337894131; 421504656; 165512298; 1073587917; 925448445; 178066071; 659626443; 666959391; 108060312; 9369599; 215263672; 473714991; 540546904; 321667571; 959662004; 944446024; 609933578; 474847365; 685900567; 426502612; 1025656618; 430552935; 328363378; 517190189; 64049860; 276771072; 1054382069; 25415812; 677725923; 395915648; 427443174; 175248233; 1043380371; 627068903; 186441960; 321959345; 11127669; 448918244; 391066668; 370532164; 199488596; 664202321; 428227518; 965417543; 657687288; 828399671; 673729213; 326042180; 82118235; 265840096; 570549907; 336018974; 483487641; 816754816; 551247192; 863009628; 73969914; 232021454; 668740492; 235279971; 654985236; 438586866; 567640983; 577519091; 629834061; 826730171; 12154243; 516712976; 635181129; 800998711; 837703204; 1040991324; 669049702; 15001403; 18937255; 127643775; 207374974; 175849083; 603859245; 222388406; 363924909; 151209504; 457653292; 205040332; 150799177; 515846248; 284005103; 873908029; 639302263; 635086849; 106135657; 45135924; 667293828; 221220272; 93503034; 92853352; 776957347; 75382579; 870951005; 871526154; 190803111; 1043016063; 424353691; 563328554; 492675261; 908074298; 356887693; 814501004; 324268005; 742263421; 108399340; 982617133; 813668683; 211591554; 39624257; 51403922; 103186056; 310504370; 921293553; 484928251; 286288313; 596250004; 59078256; 266500441; 578676824; 260706086; 910570920; 250028661; 787582871; 429421194; 567891725; 905544777; 44002945; 217805179; 388556633; 63189114; 179132093; 718913872; 309656647; 250171757; 735003190; 862978296; 189674799; 551728382; 570174344; 1006378507; 9722417; 442225396; 881947656; 923100007; 263390571; 397096814; 714582566; 577053150; 637826837; 755709135; 136778250; 156127323; 108334811; 952826035; 857345607; 359209898; 558236042; 643092800; 913821839; 341873779; 729016254; 1030277622; 733642559; 760511833; 5902713; 576320342; 454067103; 253011968; 239977641; 733467074; 17934462; 879323131; 866084120; 923512616; 644383580; 68960263; 531741710; 16241040; 197965318; 815615972; 489390344; 1044401110; 977615609; 32441041; 450629104; 298983130; 141457179; 1020663411; 552935457; 10499399; 568235144; 33339199; 731556806; 711604928; 289288501; 562664614; 947594945; 183945445; 246572115; 426476813; 293824442; 156464431; 995400225; 708267770; 997028394; 279100612; 674226171; 752165692; 488476967; 104069176; 119726871; 926815059; 364410577; 963216503; 234808842; 55317162; 443167717; 628138068; 279015397; 616494562; 1068759299; 486690133; 456780079; 820724687; 325312460; 308682059; 900545435; 788347931; 490679900; 852986532; 1023750454; 427314422; 126738310; 931701367; 144492095; 782179570; 454112050; 911398762; 938611348; 566606652; 635726118; 422031931; 184824429; 263004148; 593447777; 1052797515; 603168854; 424702304; 119218777; 68558586; 96420317; 648138428; 31131048; 176958014; 754812634; 249444942; 639135552; 697680421; 958321005; 529131491; 810501964; 1041132164; 24361923; 498087116; 362534811; 585172158; 2138889; 153527812; 177853280; 247542188; 519164882; 398808528; 746127883; 275188411; 325429150; 283237642; 930846155; 189922182; 531508050; 891170722; 609608028; 407856532; 618574371; 870796083; 869053707; 830320290; 185589628; 453794195; 222697934; 439430767; 895108072; 402706726; 906703061; 662037541; 931374781; 62103920; 1011885435; 593286303; 919386839; 25014161; 1069018351; 783730174; 450438533; 694159169; 203455871; 212784754; 601043206; 160804521; 879882020; 279734959; 767237879; 607868301; 432409545; 727344140; 1035689959; 131065276; 6146450; 801061124; 641156275; 316902636; 892260099; 1032999648; 1016646574; 139440905; 1072313521; 557293018; 944333290; 837691260; 690578889; 809835991; 433587270; 768186734; 317654435; 779876261; 990005104; 835993300; 1034112788; 881144104; 285749142; 1030646153; 827019375; 697024774; 598463262; 865525548; 670545487; 49288721; 890695869; 923273586; 983067160; 464147564; 783954373; 74281922; 330267730; 265577413; 990052200; 183702248; 105302218; 1050584997; 772237075; 871607337; 863538452; 178275778; 522912894; 796389588; 774011225; 503145551; 306385158; 94639381; 1010424396; 1002595712; 122532160; 874325050; 796674670; 264534440; 610425254; 310093147; 777129499; 287513641; 188579785; 307410524; 74431245; 305526570; 137591947; 386687369; 295171497; 850658555; 396687395; 395604141; 769531270; 656371733; 446350253; 992183162; 991427524; 1055353626; 142305871; 442212711; 934069760; 693253463; 398646514; 776361562; 511005574; 1047771485; 1042868409; 213554667; 939553634; 95197950; 462950313; 503742924; 267081032; 369583321; 235147640; 91566228; 54088464; 735243829; 671863851; 676558457; 684895489; 601922827; 236064120; 835649360; 236104864; 833022206; 627487400; 505345959; 482120282; 692230623; 915589326; 294923930; 356436739; 1014143360; 764401139; 496175360; 381211563; 982997279; 62690076; 236351735; 172104515; 118527441; 355554334; 1050816350; 709556310; 594861281; 577871384; 561780472; 579346170; 557080183; 70815690; 382817464; 934329522; 929916592; 358835204; 835036963; 496547866; 805643416; 96517211; 216923484; 408225473; 6701994; 997397857; 190023327; 1049670838; 655534090; 285054309; 4597182; 442092472; 373691190; 682550319; 611505361; 460328127; 764093716; 726718364; 987579925; 728404853; 477715051; 428848469; 352940767; 68383907; 435020167; 832037245; 287941718; 1009793000; 802050591; 180094474; 696459105; 793172956; 659930125; 179785894; 631526516; 755284798; 418662234; 357049896; 905857839; 287825619; 60982919; 1054631667; 1068229081; 98062519; 707973827; 1072781413; 542012511; 245210239; 899417878; 59200770; 815336034; 337147139; 523527865; 742264675; 982022113; 493783706; 191709850; 575101913; 775794779; 1035035560; 126095642; 316872244; 163972216; 25947386; 654427734; 531395781; 4201028; 758996566; 1014572901; 149719074; 1012795805; 26418790; 542982472; 851931572; 705247714; 965840083; 869863022; 310452891; 57968300; 633921471; 725604432; 898871633; 772257747; 142580764; 526776887; 1028581519; 637311818; 617974934; 648053854; 814648241; 386508978; 591983470; 884829685; 552829360; 840695229; 457334167; 915630514; 498765909; 203865083; 391981203; 32140624; 201001382; 796930506; 732161588; 499781897; 623376086; 241908971; 851758878; 172106558; 16658866; 325006525; 460698677; 110723630; 96540478; 341160925; 1009432501; 629303392; 339026402; 737582682; 643328449; 174476224; 831707923; 136854467; 552170539; 923204891; 336901865; 850068772; 246503080; 771662816; 469249387; 586658248; 1068668570; 194508940; 434364452; 192438550; 256389398; 768573887; 459844651; 83225070; 1051591970; 259383222; 71752598; 351578968; 41555092; 84516839; 612907966; 838132612; 1048181169; 570683801; 718441605; 54796940; 1056656665; 959284306; 838773447; 926259441; 59272873; 424349140; 552673993; 756684332; 705044622; 747310124; 847942335; 1031711638; 967190630; 836760279; 198151678; 415756567; 1017245266; 218987220; 870877902; 263347375; 7775085; 813724695; 975328153; 219030989; 658274728; 553291938; 216709542; 782236936; 644757896; 850838741; 88395268; 796248048; 864435342; 806024356; 583140360; 341215460; 408711122; 1034496930; 170327432; 666203785; 268683218; 298249566; 973661293; 414763441; 353297471; 862709219; 801301360; 814185438; 352716211; 618832041; 409532264; 217367296; 403852742; 276788179; 262963684; 708793287; 246725393; 662692790; 488630810; 489740768; 732739356; 525112206; 17455375; 972406691; 310885219; 430521204; 637733962; 1030987838; 577365346; 950610322; 628735197; 147572662; 140034558; 426245252; 343909015; 271836654; 75639483; 54992183; 990155099; 112170664; 890545972; 629223035; 1057980178; 147575500; 899575379; 394602632; 81952193; 71993438; 196478091; 76758475; 203584124; 272302517; 181093992; 76798849; 955404115; 220402834; 775834193; 682241896; 938398656; 869131505; 139387632; 856712671; 379238982; 855332175; 465809170; 350274347; 347616585; 1056881483; 761150514; 818625132; 836780702; 525694664; 38783707; 910470794; 344375056; 418386793; 49766703; 203342280; 847744394; 333123924; 825115015; 856041514; 1063747147; 188558514; 91604183; 290067519; 294584948; 381082702; 375389286; 654100060; 1069459690; 243733680; 902774347; 631056351; 158889561; 408663286; 66044045; 500630377; 343523439; 1005620888; 849208403; 312680470; 577467370; 838476747; 56391271; 792046613; 300236428; 11021062; 204015168; 360273695; 923489456; 1043593410; 281386609; 102104684; 45052545; 846436046; 744771705; 506325648; 521241945; 959146233; 86900813; 18038932; 779828687; 1026673708; 63393593; 126576183; 419383934; 971356184; 922362159; 986820214; 467060737; 775989793; 663292122; 656713340; 568324831; 492924164; 583968484; 550058339; 535492539; 55059885; 727256730; 78725125; 868512616; 1044384678; 936112719; 766643107; 316106463; 269747478; 487758539; 928192400; 513767959; 166807154; 31190843; 586520908; 736238336; 251999899; 524560772; 256869146; 1069076148; 293810696; 22823517; 938890536; 238570187; 105063259; 70140553; 261478671; 1013856783; 171725706; 273186126; 369013762; 852031481; 96600949; 863346249; 748260958; 467173082; 472897015; 846011372; 828303918; 378976037; 743980677; 292070608; 761941447; 993301187; 60318187; 867562952; 525361194; 929229021; 354770782; 18816823; 548312284; 79475226; 1028754760; 664680919; 768763907; 490455672; 824910359; 179485634; 774467813; 610990579; 119381599; 246647802; 970399114; 543452171; 754045383; 263574965; 507886388; 29908171; 393213624; 394686917; 606928121; 297525875; 606271194; 849580798; 661387768; 258454867; 86232679; 165674295; 181387069; 365042727; 782794529; 735931088; 528205132; 594808423; 485059799; 780555991; 332522761; 260876388; 1071283425; 751068841; 598569535; 356644856; 773324938; 882453345; 258849971; 139160306; 480544547; 729886286; 314657329; 514008296; 907426775; 593608645; 116195947; 951167508; 336552215; 525854893; 707169051; 860529475; 809096086; 994130918; 498302387; 702892403; 199713969; 553983373; 72408969; 24450695; 248488852; 481593896; 781092541; 625591563; 703575771; 433293060; 752085483; 49169266; 550978945; 107946653; 208495465; 622560536; 411999378; 561665207; 844943567; 173903635; 274165637; 941926464; 151035260; 322812072; 247836906; 163325484; 746637821; 911635548; 104048353; 344498451; 296813247; 780295025; 404449745; 861358842; 687978226; 243373858; 822542159; 444092856; 85800137; 704654389; 846573257; 727023739; 485725797; 1023265579; 365552999; 2126907; 1028894295; 1027798402; 739607675; 959070594; 862942193; 308884008; 633651564; 915538373; 203156728; 764479903; 100794826; 132122477; 134744358; 980928856; 73662243; 91924559; 685679887; 390993887; 214564619; 782741189; 332567434; 984543195; 109558686; 37959959; 409692602; 309138502; 217756526; 856571661; 359769565; 112824269; 118267022; 821006924; 417581275; 588265077; 256994154; 814630554; 158100496; 598044411; 992644868; 488635124; 652185376; 1037811368; 510964175; 947313217; 256137113; 775165774; 748953209; 519221529; 779326914; 883433905; 830553003; 960488150; 121730291; 860994193; 262263251; 876684105; 535743529; 272640044; 765228576; 1036514778; 462336203; 349818339; 512506512; 412275113; 110997174; 1004964156; 912414075; 1068343673; 203980790; 852421060; 974077435; 431305456; 972010527; 1067866610; 1018185946; 461232915; 799909510; 335409869; 299074223; 827094989; 812755923; 949699454; 714516390; 52545166; 790746194; 347676553; 325313001; 84069079; 1019077830; 472552284; 457122226; 315379711; 400450927; 803796840; 152030154; 890536666; 430609109; 522154180; 345096042; 654798383; 1001437471; 53672104; 848717763; 210955183; 366581566; 627027448; 362080362; 841290085; 1066281611; 854838268; 271083756; 560681775; 87810439; 841403788; 587160567; 337060989; 206462491; 774461384; 744146124; 27112749; 836590669; 1006893796; 1026553546; 1025124321; 1069172482; 976517461; 79125063; 329685542; 498753743; 210201293; 472410630; 668002524; 730297952; 397626574; 946507069; 170391179; 1049303008; 742041990; 880232556; 101371963; 433711993; 594792387; 273530691; 312058125; 767648582; 970106180; 938093790; 581414439; 160827987; 737359545; 696109889; 123378535; 668272591; 773376239; 352008734; 167057876; 48776101; 378975624; 166596959; 1045635887; 730527388; 909364348; 494370303; 670941835; 873023614; 572621136; 323201751; 839751883; 611779177; 555713152; 622757530; 94996314; 320941554; 547665989; 705136614; 1048965152; 195247560; 26727197; 364680862; 695511298; 71628681; 155748953; 204280633; 1038493176; 1064154752; 304172934; 697149584; 977835136; 800445793; 185762783; 215099101; 662070456; 846065836; 571391126; 382394116; 847922847; 849622912; 927243573; 161432990; 948023852; 697175958; 564451312; 765909560; 286191240; 1037567765; 220754939; 458704064; 18230914; 879434704; 589812317; 596433414; 525017789; 225865357; 693613434; 42962154; 294962277; 862525389; 530293833; 677893631; 697515519; 1065309718; 324672404; 983297635; 864505780; 956638995; 346343420; 976605384; 210753227; 147781812; 405079891; 849652376; 639489488; 745670826; 925069917; 243775863; 974124210; 797664895; 1067891190; 420705145; 977116198; 12774549; 920198890; 958347052; 118519671; 286729086; 653316721; 344583527; 991297010; 582246394; 759724176; 665958945; 894137017; 948325308; 705506448; 22046877; 1002716608; 518249020; 920538528; 425422523; 225949017; 656551654; 937083524; 408122082; 148602151; 33892387; 95096493; 686412832; 40046134; 1024778574; 688839570; 639530596; 656886177; 934325110; 222258332; 917598390; 601511714; 820679287; 568831453; 160735753; 262214825; 1004802974; 528948596; 284354853; 266217724; 1028132523; 652240060; 494376427; 61451903; 665174505; 264702350; 995913791; 113515896; 550594160; 833553908; 584827696; 12792421; 134776312; 750320210; 160243395; 904394041; 919480373; 811513731; 722982380; 708097243; 168068989; 915309341; 652112352; 143725497; 969397165; 595373164; 213061516; 908280912; 683977377; 3310583; 731735014; 233827798; 125948416; 696332712; 31505738; 713755557; 1021542780; 664627113; 5617550; 1032112382; 618047001; 120907690; 696855790; 377906714; 130940814; 515223970; 873492014; 85624102; 843149120; 382045700; 793482006; 190211722; 950419847; 520202999; 685771032; 868958255; 675560447; 417928631; 608620323; 350484341; 736264359; 226292867; 600546799; 68777703; 278538651; 865464464; 812726574; 893596401; 534415298; 869489185; 712975157; 325945673; 864940558; 403786568; 598224946; 829477865; 739896469; 573669558; 60095071; 524538146; 780549424; 444496419; 666216277; 70403123; 17313801; 195004287; 88582326; 472695533; 280776026; 22084476; 379525769; 687297440; 228343601; 933477618; 682648829; 569239573; 1023195845; 990286704; 826606044; 90535560; 849081176; 70776360; 978443353; 637114330; 281505487; 745383260; 135127433; 672998445; 748892001; 802821593; 64744482; 798162982; 947367944; 77137554; 373681650; 803451609; 666718588; 128584198; 2220271; 19681557; 627852830; 792035847; 540897017; 1064151094; 193829494; 763246621; 315460453; 593338176; 287096256; 736675437; 806559328; 971451691; 28721596; 798289422; 424940316; 257572919; 756264330; 263350274; 370824126; 212951200; 556603851; 630046727; 420532979; 712621030; 775715842; 240933254; 405277638; 395773121; 172700305; 98416697; 866646481; 561961234; 290181707; 1024288618; 719426737; 857934794; 546326691; 852074752; 448416352; 411393177; 543425642; 756075738; 294166772; 411172868; 516133970; 119009648; 531083402; 965580713; 644609779; 849769643; 53220622; 241345529; 758521228; 817680559; 1042827501; 339036350; 550048609; 595125258; 365997239; 981841526; 679538806; 751236256; 338538225; 739578253; 731939324; 401305790; 12467877; 553519212; 692328819; 140622268; 1027238037; 923944447; 289970831; 1035096120; 196191050; 612316282; 847256259; 966448424; 951532045; 184435636; 357634723; 600699304; 785546101; 220897371; 551106946; 59137067; 536766905; 217605718; 716457821; 645026054; 619946234; 1019048724; 976810981; 129523411; 917135010; 382709471; 950559625; 666989043; 439301078; 52031950; 747117769; 777590960; 46604695; 1046841905; 582499340; 7616980; 1027269031; 983942860; 688945244; 499632101; 503642625; 733112952; 1049640844; 6969410; 966096302; 95415431; 588688980; 942369736; 869949951; 631787579; 174155314; 775443666; 447965334; 239223296; 347242714; 601966258; 666840154; 385034400; 798341088; 380229381; 509842601; 688531945; 705641837; 962162913; 347234163; 458877741; 820623971; 628706685; 246723425; 1068304802; 457248561; 479083962; 717453121; 654746510; 356473858; 71935263; 643661800; 79259823; 187202263; 562931536; 322923911; 804138652; 368599256; 793521283; 946578159; 185876834; 861789736; 46265344; 535600117; 770386152; 479719478; 387227988; 928493456; 88089529; 657106200; 132822031; 865635522; 1059495502; 317353986; 662460852; 925432207; 173055165; 440825970; 54282934; 197405019; 1001384687; 387442091; 654663427; 1039501501; 507970915; 619960643; 1030006408; 967316402; 172149405; 949424815; 211750260; 701491192; 900813568; 283426258; 767882635; 724110524; 1040931657; 209448511; 129086476; 920720430; 469451758; 760813984; 489228762; 839464664; 23438938; 325830004; 183647795; 780165854; 1017237107; 284319637; 205120984; 486260993; 640313022; 275031450; 681703692; 972102018; 1029785732; 866594262; 168961423; 92355496; 725929001; 169885037; 1026156197; 37063502; 472501393; 794567832; 933342319; 531517547; 140953893; 1069842214; 483709129; 788043649; 761602942; 453860304; 640240687; 992111890; 260543492; 419889878; 751801768; 781941646; 584270197; 152563763; 226173196; 284950855; 164285878; 793221182; 445265463; 877910296; 35090333; 307784060; 744935047; 340851150; 540692227; 750733866; 466659477; 80913162; 853731017; 524301553; 586366485; 469590131; 105219843; 1041999955; 187846541; 749041055; 633050314; 817947963; 137777489; 843815575; 398869333; 859497685; 672393539; 297432268; 315221833; 276978804; 139223003; 1007068335; 358500066; 37270279; 746712062; 95868466; 68446315; 771372273; 123526883; 874533898; 86721211; 105423075; 505901981; 737713110; 372260818; 819006094; 968953267; 412304720; 1003803211; 244718392; 1000809673; 224141355; 204086576; 575080126; 429724031; 373520267; 253024898; 756792018; 30693580; 254144640; 858155636; 964419755; 1052976299; 401182142; 1036842914; 151387321; 264494187; 981793432; 763834720; 599160446; 1036172021; 681067927; 964461323; 728343241; 805017917; 56227841; 670230395; 345556530; 269027493; 77233982; 196223113; 53413302; 1072690610; 462260996; 315010509; 30952099; 98574499; 712239700; 92892747; 785640884; 298864783; 457477352; 636010197; 668859124; 284048283; 979549667; 893959900; 819617302; 1051474113; 943573238; 131638857; 15879181; 403468368; 96416659; 977939907; 594290381; 619581910; 641535169; 896051560; 230934202; 862907464; 849123051; 1001398779; 535627898; 677694772; 1053037795; 485186584; 863160269; 702347770; 560927037; 582172160; 43300702; 987821213; 273745629; 777155685; 822350298; 771099817; 703850273; 18879836; 821142703; 101667785; 55007969; 1055259031; 528602715; 531592780; 998521240; 660314611; 373368153; 682215288; 403336804; 329596818; 135446604; 1018360500; 675447235; 127923931; 544165762; 900654186; 108067733; 92309295; 713650912; 741048518; 160815275; 1031282929; 747766386; 447911842; 784335815; 705949099; 33958880; 879400424; 54945888; 470017156; 988389142; 232495731; 253247012; 920942508; 349136072; 588494898; 757065705; 511468324; 239496759; 887376415; 733062896; 651370967; 1056710715; 325713929; 834381478; 770700454; 335764125; 570756776; 1022432067; 458967196; 452919198; 84631055; 528463698; 369945926; 129989586; 496785002; 968189308; 713110447; 367791818; 907620264; 1054178154; 517530062; 522104069; 555674662; 113374030; 857713910; 44515680; 194948702; 175207509; 423249151; 310516952; 684885394; 311518398; 836278697; 576385512; 444039722; 705528427; 22329988; 414790272; 648045916; 697307170; 723672846; 913606376; 870255126; 605722765; 448174176; 1071790291; 808551529; 389089114; 291606784; 1054877532; 549483364; 1027974489; 138714088; 567301330; 774943545; 306409776; 548451250; 171304184; 1038613237; 507909242; 128108672; 143722894; 1004123518; 556799147; 129265356; 1073640757; 802170759; 813456737; 115181358; 1029544289; 59034335; 434583639; 199137061; 576841388; 939896393; 267538471; 794812278; 34727901; 1070457709; 959568144; 168354294; 547603392; 939836785; 789588257; 550500985; 734515377; 775749958; 716580221; 742278226; 139338503; 92154636; 513867733; 885329736; 480426526; 873191774; 1061683006; 224017520; 426618753; 769516041; 156022461; 635086306; 201021761; 111123669; 189675146; 785064856; 527489672; 929657158; 231290680; 506444928; 316579080; 768348290; 800363184; 916691712; 806981743; 942049169; 510654274; 568043607; 604367678; 941371967; 488627899; 599037378; 140145205; 664944327; 282285244; 969210179; 248587034; 908474090; 107586109; 573023375; 316014514; 1029266257; 905718877; 992568188; 953607521; 190114685; 688241568; 167422731; 958907333; 526300335; 860010114; 921895591; 525940084; 833074460; 319651285; 931172916; 383208344; 952089987; 617825449; 495592082; 1019570108; 688018066; 177256664; 1042538988; 349116891; 866915981; 267301522; 750615020; 772330219; 987662334; 374913709; 904033816; 454808259; 297406089; 89483744; 707096870; 336327752; 486824872; 567297621; 689265840; 117033629; 706380235; 636739549; 506323919; 339354428; 731663178; 557562164; 337600351; 425850943; 1068392446; 528576261; 809070836; 274094236; 574221118; 114306762; 88689903; 579275232; 921743404; 160603375; 351666828; 484611690; 314282; 596761491; 775843930; 600581283; 144359519; 708040156; 674446788; 933373314; 852357598; 565079577; 926157092; 61024415; 963752272; 979407213; 503835996; 696972480; 688230496; 766238509; 38996184; 632398146; 323015330; 459961202; 183878962; 84028771; 546526108; 182294524; 264734481; 309263765; 341915388; 195513607; 388272173; 651539948; 678094496; 1037640863; 955913916; 333178088; 268955532; 424487667; 314028279; 612502087; 554092075; 509838554; 820025417; 60298476; 929393535; 312085753; 294875058; 177667745; 479638326; 842723982; 1052747834; 558962739; 980638818; 931167563; 525613006; 301270619; 790626745; 808655355; 104570932; 721614771; 1041998418; 317623288; 508219474; 908491748; 599299717; 873012956; 992881700; 989211714; 150733285; 1049724943; 135967834; 633004929; 812135166; 582579403; 136539772; 237834401; 720215591; 181013394; 801419480; 418875804; 471308006; 551194993; 462268034; 966059953; 772527475; 310244921; 871360603; 139467379; 155064093; 858219131; 793447794; 1001093814; 492373442; 905187859; 423159110; 759730827; 301548994; 693329757; 507211455; 733021029; 1029266988; 965689573; 240007667; 401523428; 148589836; 1071378829; 364561443; 715235909; 34187613; 862484344; 784746638; 707222575; 650720021; 821426402; 585118148; 483777181; 303639952; 888868529; 1044860961; 934976726; 415149790; 370483270; 126958123; 1003214533; 469634098; 769996083; 734336936; 105403156; 205835405; 306051310; 171232426; 89749289; 994673489; 79851398; 339032492; 55500745; 804102048; 922376174; 604199562; 531643611; 778704300; 1059424247; 917271710; 367338502; 80143722; 86449201; 139662822; 346737830; 122677750; 1040856025; 378385358; 750540148; 472973921; 924728055; 731353958; 888713518; 163581358; 899660882; 128108506; 1007475365; 128371586; 909925462; 126296372; 317211014; 746449798; 243856463; 262380583; 236642733; 815538939; 570017021; 158750664; 672356193; 441382759; 864355214; 1020558219; 196284963; 584703369; 678235839; 531959621; 944501278; 688858091; 271461815; 264716231; 204770269; 478094572; 900607546; 251466097; 1038212560; 772118583; 880279223; 590550178; 764467865; 148446235; 854844928; 724245486; 500155403; 704544381; 57118090; 122922308; 888481060; 548660295; 482645314; 279189642; 70559561; 273745482; 765175145; 49338408; 56421779; 382567023; 23794138; 895051371; 920302042; 672697544; 624931229; 832308003; 390420565; 783006684; 73662272; 149746173; 674348542; 505829754; 165715197; 576697520; 1011038694; 617931517; 1012423344; 205193203; 745691436; 594405947; 510076284; 893719962; 464103740; 251460027; 158367878; 170451345; 51450076; 716003894; 1047098081; 139462898; 163786789; 30948706; 959950180; 951264342; 1049721594; 914023874; 505454773; 228386237; 253238321; 491046216; 1055754379; 987063234; 640961220; 101906949; 656209171; 72142371; 325837469; 1061867669; 908224682; 709447588; 672212042; 718785626; 1057516575; 988827796; 512640618; 284121290; 67545760; 605012613; 741202204; 868458074; 808786170; 678650353; 777882337; 357408980; 915258997; 444542224; 814074826; 372863231; 546833997; 814750075; 689965136; 234872392; 614880553; 943715516; 75840564; 869042369; 406824788; 777017522; 786813208; 14462391; 276217370; 85911534; 245457661; 528142994; 158325300; 455938648; 374283706; 221371833; 782132639; 1029273448; 1003223769; 712355639; 416766333; 261817273; 338030930; 702849568; 856546399; 613281126; 92538797; 643356951; 232013546; 596088593; 771281656; 837225209; 667629909; 625508964; 222568091; 433712431; 1057267091; 752666408; 906420258; 1014973360; 1022273101; 115182396; 78612733; 1032017589; 145988633; 589537672; 410980578; 652588641; 642984254; 373349277; 1043227846; 625501994; 617295676; 547633549; 841339988; 890147003; 959046296; 1069971872; 63603126; 825795448; 197156280; 126041911; 725400049; 159528364; 984903468; 542808062; 475382678; 422131537; 721109773; 987534613; 962180323; 723693483; 643529884; 427640918; 983873425; 747640209; 88259526; 60403509; 815963593; 581336651; 440915518; 751905394; 418263109; 20529582; 688976057; 855573940; 564048595; 573851891; 734526160; 681855873; 401180654; 264792612; 679958660; 1067389420; 1058726618; 638681415; 718378349; 775590283; 338124506; 425950534; 896722836; 33614314; 278609685; 695282564; 768743784; 198423565; 285423346; 921094133; 695104194; 30695835; 478735137; 193227649; 143179199; 1015214081; 539181259; 939052265; 740986133; 287864391; 738617914; 640707599; 845171865; 945815122; 179309070; 124857135; 995197343; 343471624; 722526304; 826750923; 533894181; 46354047; 304452630; 24112312; 523533454; 276506873; 676942443; 431208647; 438570108; 688315007; 457029990; 401383067; 940123848; 687046017; 863696930; 531435778; 209069099; 206117713; 218539137; 332236019; 397984582; 172915346; 227273267; 577617715; 63738956; 1029628138; 1064551898; 701780574; 836504435; 203800812; 491371981; 703149541; 173427601; 422183781; 449746655; 930810494; 573436250; 3727880; 76783890; 383448498; 914652489; 711128516; 119391255; 1036190202; 883215398; 639181665; 169247644; 962161142; 655676577; 944481074; 175325451; 1041232153; 230506629; 825536035; 827016610; 696971171; 7115102; 157295875; 651874695; 94413026; 64339868; 835685685; 715005474; 1018946327; 599019020; 213039252; 463520295; 281436619; 781828407; 813421110; 235772640; 640909677; 5136605; 1021689910; 406433585; 342437845; 933609317; 493544029; 933935396; 291837196; 671735826; 801337719; 335977703; 668660322; 594992523; 621102666; 126740329; 524637377; 457002705; 604601054; 1034887788; 1048436984; 19262946; 192817016; 508085335; 320159546; 838015697; 734510784; 450819263; 366402167; 719777757; 839871831; 1002451818; 1071487868; 680455772; 981263178; 612896194; 965597801; 1029184021; 959123530; 816096827; 378916677; 722022262; 208780102; 968150267; 247320671; 38541748; 735865791; 435935291; 955726958; 522448948; 122756721; 1041024858; 461658882; 363342785; 1013204850; 673171218; 462106282; 943833703; 543517941; 747245184; 34628614; 574058704; 327689432; 515085208; 1000763686; 364814712; 1070092177; 638392799; 915589835; 217496699; 542305239; 63860252; 805276585; 1040602292; 980745536; 871295020; 68482727; 542079561; 1026435790; 466828116; 333759885; 509423427; 407406531; 945749942; 862023250; 771282194; 872543128; 102853192; 886803363; 331347862; 980809238; 203623763; 553012784; 533797581; 856742285; 21991626; 555905555; 74189043; 354018222; 529747391; 95916392; 61143920; 1045698101; 934935267; 436926226; 193868348; 137482065; 1040519412; 591237364; 207030381; 359271180; 848252014; 856717179; 694544087; 1040319805; 272966236; 137450019; 330406195; 913333425; 108032057; 381366101; 540430074; 817952067; 604243568; 609870774; 639142609; 569878263; 471351149; 757889171; 157064032; 597048791; 963305611; 1047742051; 238598217; 1011567193; 983735445; 863925688; 428007308; 204265696; 850152854; 1039671698; 642192315; 597699756; 572509831; 654838749; 118504800; 262333750; 867513323; 498188265; 412098965; 877956939; 133925931; 866180582; 13043153; 391780437; 264091426; 888885929; 585734423; 627092298; 318160517; 725918912; 92591222; 593208610; 949597341; 359096943; 29942656; 579538741; 194002439; 446890898; 842516261; 127439376; 808281545; 382743038; 1036874961; 263646907; 344555275; 749830978; 740813629; 830247795; 712141502; 83705453; 469247168; 259134328; 252805458; 10583027; 229149172; 622901289; 221524429; 805366680; 10911190; 494005580; 556946551; 310068708; 968776906; 719925869; 530584486; 96291564; 467006692; 997500286; 632919216; 458900152; 957960439; 353325961; 797413430; 495066079; 806195209; 1011516885; 688624028; 174177593; 19278406; 66286536; 106385177; 793831853; 214128555; 1070953388; 729411327; 847785574; 269383537; 277315214; 677841806; 937878871; 291203674; 593220990; 112573128; 975556127; 915871570; 46904340; 59490349; 640479277; 935271207; 1051621265; 655920820; 271662322; 976013146; 991677907; 192086430; 257939818; 499425520; 1069902256; 717594283; 657671933; 1071439039; 372741524; 687106728; 263167225; 864150587; 302843779; 87027776; 683938359; 1058931737; 288506060; 983938229; 620565428; 525846230; 790552380; 599631693; 1032003484; 941916600; 1053308798; 832967744; 533826922; 1038589013; 21726530; 103900445; 608031633; 684477784; 17011949; 325919984; 926315687; 980116565; 132219795; 101738376; 143484546; 284619862; 631068547; 1043174687; 251928015; 985504715; 524256140; 974214556; 113933273; 946222516; 379888826; 722431506; 745125107; 681061802; 702322132; 669233549; 771387137; 950463659; 437572314; 816987438; 953127281; 809960414; 567984317; 473742010; 564276770; 670740643; 965170694; 4845865; 436451983; 901078518; 872575303; 483190269; 749736187; 819475527; 785219928; 383082617; 399745078; 37766989; 797497669; 1051542680; 415962825; 728557388; 694609312; 800255715; 157966785; 154642667; 1000446630; 1038709177; 555684430; 284450003; 234516773; 699371733; 430087675; 572729578; 256578878; 711785268; 440738064; 734786514; 403282628; 572112589; 145760635; 73025550; 310470190; 76332232; 632735138; 379257295; 900507528; 58750690; 71929888; 724543574; 536982183; 38011282; 914682923; 968235405; 688758027; 790328921; 875621143; 645411899; 662382273; 748488584; 224215651; 446306107; 1035138404; 592158354; 450900826; 724604265; 135561743; 282523782; 992961809; 547608897; 474566296; 330562617; 294815966; 740727011; 848661370; 299084476; 458996270; 942080316; 37998058; 262741333; 195547794; 693725580; 316713138; 766786013; 898678423; 864500632; 283173169; 893820216; 1044147146; 387802352; 228011083; 1048854602; 428779064; 120382420; 613793320; 490702550; 796523285; 526206493; 288304882; 992102796; 550921468; 468141334; 118335453; 759580436; 785290990; 329564850; 683287601; 618253474; 403434324; 332159519; 845941806; 879917808; 104020604; 947118970; 1041646802; 1048091884; 614145806; 209019183; 445518807; 564674130; 91576422; 198062287; 113748721; 557409471; 400223986; 579269442; 820382306; 583792253; 930454328; 695968414; 378058842; 499168104; 710528075; 25397758; 10834289; 353915154; 966964656; 309013930; 636106151; 569640610; 582542033; 59145553; 392233188; 942923151; 803603254; 1010962720; 825142828; 28821178; 347644953; 729060774; 752665988; 342081988; 590931636; 249655312; 280890034; 95007994; 169427560; 322683411; 636952104; 108435694; 484666794; 93538094; 597882199; 201997957; 1014379815; 843390204; 39071725; 367601142; 791440426; 196108102; 412709808; 8861575; 356087243; 375824536; 944981540; 226114476; 227908635; 533762629; 98253541; 536654942; 928780387; 979540355; 261618262; 318906401; 976465168; 612768687; 716573645; 250800845; 438292115; 568057899; 22601341; 716001007; 432162696; 2818151; 834505794; 260383282; 627968933; 968614711; 778085886; 658114537; 409097671; 319496180; 290210298; 104332554; 701977822; 873823064; 427572338; 17842933; 20554542; 54134394; 933618772; 771601373; 1026171199; 785158895; 530080791; 260320978; 862410871; 585601821; 149045809; 967883188; 511079409; 900869884; 64438044; 152354940; 383337324; 677846038; 265136052; 502887352; 819091084; 91272316; 881548052; 814148165; 224209153; 549127678; 271700788; 304091; 72266683; 27122453; 113227189; 670369886; 666526544; 1041664999; 829876737; 776706499; 1071688819; 74930487; 776403401; 374358665; 547728992; 233716539; 995906352; 103644880; 898803936; 327803414; 786186263; 866979748; 58288024; 540584350; 941128588; 678560221; 1007199288; 196736329; 332201588; 803507129; 381474433; 518692399; 43092299; 438133662; 603839336; 794869793; 806466614; 246526764; 799533163; 929223497; 949020863; 918086684; 690980555; 641321939; 900495020; 169572947; 892897958; 395221040; 1002905942; 209268458; 688293212; 334553296; 799958392; 240626275; 338419047; 1020586476; 530523446; 84812388; 204333616; 56631294; 981851596; 1032911804; 1041197053; 91341277; 831579006; 49420285; 297929524; 532878968; 117950149; 21356853; 630285839; 549617918; 389344993; 602800943; 131815032; 377704431; 668816311; 379947388; 321524381; 565217765; 327106711; 669080159; 361647373; 200122141; 924987907; 349261449; 749847256; 477072897; 181531511; 575510856; 483418186; 713292327; 338368760; 824850428; 126795999; 820161152; 737640344; 126412055; 314007889; 455805256; 795704888; 993738752; 553097470; 74574657; 790772251; 742371725; 569438140; 111392050; 133371308; 241296792; 894222444; 401411077; 834717123; 616614738; 271991267; 364269683; 693775336; 1064236794; 211293475; 225750688; 480838179; 760806; 68874662; 193109370; 93301850; 565076756; 26658163; 332053607; 967979271; 646793807; 881321015; 786242010; 1072577126; 1057352111; 48496288; 833023838; 121663813; 442418178; 834916604; 567257577; 130501617; 311770106; 885530790; 958752624; 886892718; 35930969; 561418937; 482056341; 806483251; 1049987418; 13829690; 224318291; 953214789; 612603223; 836464150; 433085058; 287204475; 661059959; 636900289; 630201480; 994076351; 197061742; 932130046; 506634715; 644651741; 409564829; 1065556559; 879658427; 140730810; 1005183145; 184580155; 18100203; 915555953; 810704460; 913718240; 1011131838; 567886292; 581091871; 71769421; 735556524; 1032336898; 701539991; 698488962; 844377940; 408302966; 426519404; 761597713; 698465374; 512635424; 735682902; 392105569; 956865179; 307912211; 360199508; 701989876; 435783943; 920764285; 1068277545; 1066471697; 681579320; 893626825; 356985532; 972937447; 830253527; 665663499; 199770905; 988953305; 100021673; 54858489; 894622753; 362073367; 289447900; 1029418744; 123312753; 982911700; 510049818; 572889482; 15737431; 879548343; 195270534; 817867881; 644223143; 906221148; 192021198; 1032866955; 413541398; 487197565; 139176009; 91774771; 874218495; 891604913; 223334127; 820700766; 435226195; 615024278; 503120239; 338238746; 856834134; 480208501; 325374586; 544224871; 808714947; 624144995; 82023115; 678057084; 506891579; 568535093; 479495469; 685567935; 216622168; 912094057; 706999752; 373117848; 182495438; 782884937; 81617866; 56458184; 39976595; 811995769; 322206216; 874937951; 654898730; 958864522; 881833531; 1060717218; 924660515; 571340812; 239959687; 710703222; 740347291; 705757835; 639291171; 686566187; 545471964; 267137179; 465938782; 312466058; 307134079; 895760587; 781477099; 99507771; 228337232; 942598974; 107979783; 323706803; 366770716; 619936475; 591370766; 308250632; 928757134; 578301957; 641314728; 895302771; 870957767; 350862016; 590129224; 842956838; 649397558; 322973443; 139981062; 592714438; 280861450; 399174261; 863128922; 25585070; 642100995; 321208785; 80652321; 901952299; 835938789; 241075399; 584788189; 883102855; 36103689; 872512861; 131963834; 717351355; 319615941; 244542622; 339831290; 826432949; 778978110; 239642935; 559092440; 1003245092; 37467198; 705272936; 821858556; 485713591; 3033522; 459835870; 164038733; 794684782; 333174176; 25727209; 1066788235; 797446322; 1003326985; 238257947; 432889161; 180616872; 606736623; 777279657; 615892421; 915072423; 511986033; 1065663829; 170762945; 479679332; 278125474; 212895464; 389695696; 683445048; 534497274; 353512492; 416106792; 517574033; 416796992; 541034797; 140028931; 454857833; 782470442; 318254405; 969709941; 978263244; 335154846; 248605920; 239327931; 171047176; 801314; 39151144; 944664954; 600367483; 333192850; 858707501; 327057127; 58972466; 137911227; 422116961; 152112453; 526887182; 826394288; 980368938; 763634919; 677314176; 263972692; 314240396; 874730050; 822661621; 231561191; 1010640110; 921570042; 732520878; 266865787; 152009595; 858072273; 167825363; 895887959; 787360950; 118443176; 711804737; 53638390; 298899609; 562894878; 730195286; 252778418; 733892035; 1062446649; 990059654; 906490697; 15945893; 520026337; 700275539; 1049639534; 454193286; 463192882; 921081419; 312763738; 250560404; 187143026; 398626584; 663935034; 1010377630; 211517290; 523888482; 66538652; 343533083; 696571640; 519260624; 750013207; 1028566536; 882672169; 369843395; 879996846; 843229072; 201182918; 249768492; 819196571; 196309501; 349383519; 669235655; 393507412; 66908078; 873735905; 122845178; 696805599; 548156937; 386414341; 782955655; 173962553; 397876734; 677555697; 60390691; 658745990; 637424799; 727570320; 522301067; 984853150; 1065434058; 475471570; 466797481; 100155940; 415951910; 684053649; 369851742; 303110908; 371596145; 764185222; 1048844242; 288050818; 1063534425; 57383237; 372302645; 575906894; 801567016; 1034516217; 216906263; 585830087; 240541659; 753984016; 266702108; 1011298491; 436463573; 224708650; 897433140; 204082114; 731138729; 162725483; 846725520; 952094971; 16320589; 240090926; 77680094; 784439825; 797025067; 673359182; 1045239275; 590945650; 415139649; 195271385; 452253546; 264993557; 242974269; 122262121; 950202294; 559636275; 66414230; 904777942; 934197693; 130996800; 419197310; 536679593; 709960802; 371344969; 1009125953; 11139751; 463518788; 178145786; 912080936; 957277502; 1011637969; 981387081; 911366673; 771370230; 458968979; 9699112; 444530583; 625636146; 464806795; 1017185639; 722635384; 628279536; 827805818; 839572890; 452546864; 625891959; 794383222; 1006405304; 663031517; 972616756; 776935191; 120921464; 1037019415; 820125996; 140584093; 48081858; 997383311; 836239003; 993746446; 530201677; 387410901; 1045622441; 1021839517; 521418894; 447947178; 106391479; 209836709; 585246773; 981879343; 995636512; 320710863; 273808365; 550656683; 543046901; 48108333; 634141905; 397169222; 712239521; 1018130646; 762766184; 630663283; 414767600; 321677176; 180052492; 540966454; 98805828; 864341843; 624976268; 683590995; 342716242; 869311034; 495288330; 643606527; 412905984; 303548557; 723322898; 994312081; 795188488; 477896278; 957352570; 1005466548; 1011517437; 522113357; 999340159; 281763759; 445897684; 901271341; 51565672; 533336946; 909163289; 508036906; 697106191; 106514237; 804442555; 536234532; 215704157; 509274631; 498582302; 989408706; 339825185; 106377056; 354975375; 80377734; 209081779; 457412376; 200715486; 733199997; 315554704; 865256303; 693547852; 391920291; 581224305; 892535662; 618473135; 59424803; 972542383; 827977846; 117406836; 717031356; 1015258217; 775107740; 770283690; 441604505; 640048756; 872342112; 243891042; 1023781419; 716321044; 950073028; 966137078; 170540380; 1055085175; 559312719; 269957341; 644973390; 196662036; 843537270; 1025866369; 904763376; 389230768; 306905226; 108953451; 344753050; 266259237; 128204237; 893007330; 1054364095; 221952192; 787087187; 678022420; 112177392; 1020994598; 422059718; 1055800735; 161793290; 320137488; 671137194; 568506691; 45203820; 416054116; 996027396; 1052892669; 823068452; 796741612; 208888573; 128384561; 1043539100; 620389328; 2171958; 438662112; 57905972; 913741921; 1007862489; 37835095; 580737603; 918538794; 105252052; 851703320; 61795013; 713564151; 912503204; 103592393; 772599801; 40790703; 501123686; 941925613; 639681925; 508297467; 536268678; 801937985; 539977749; 938230356; 85573331; 441711669; 98066579; 567259503; 209616892; 970367133; 244608937; 604755093; 253428817; 988229777; 868995990; 771384359; 52842567; 18971780; 746372374; 575107201; 681069740; 784401531; 456752983; 179673732; 133088272; 618460323; 969257522; 621350489; 732805709; 665147107; 291195930; 97060902; 1022019863; 816508689; 185188589; 519867200; 234922632; 696287737; 287278962; 670765539; 777451788; 24156554; 54465265; 945244109; 852228790; 477375190; 741520467; 569703575; 559290419; 951640622; 946397838; 341618206; 422199552; 125692871; 1001406769; 268110300; 353812281; 654496065; 680051868; 75142928; 566814289; 1042744219; 968149971; 132579238; 584076072; 774914177; 193265159; 122981592; 968434612; 1007690184; 694788187; 797495661; 391177913; 233907746; 834853467; 882161394; 637908055; 970848522; 373948659; 339832895; 751801651; 865806578; 145094823; 693736768; 885908592; 80651810; 450649582; 630365434; 455918693; 457222074; 306237960; 893166500; 104430226; 881890322; 311486983; 910499201; 550191950; 105615986; 814941619; 190583169; 859432456; 69152425; 169045180; 783776763; 810749691; 903511893; 105735397; 159230498; 1019959442; 48104615; 952311770; 566228923; 809165931; 1070817164; 651034713; 716724101; 212962964; 224993057; 909076421; 206599821; 156766760; 491680743; 811018854; 398521949; 434769425; 386213665; 75578628; 713188250; 570202032; 749163454; 631793566; 82670732; 252241534; 269184955; 871367618; 474769003; 690632086; 446006586; 897580073; 483169795; 1066153929; 994530537; 324141271; 600138722; 484977681; 511689410; 620190228; 58465518; 870622849; 139271720; 50079865; 797251962; 922183381; 541605504; 1004358032; 261819747; 497025886; 551964635; 562985493; 490567538; 982027703; 387615145; 675754551; 543644268; 691625358; 929333159; 966564999; 1026040551; 1032137254; 45131694; 11485034; 104933082; 165460956; 882144430; 570686606; 992622210; 184566067; 721639973; 1030363709; 177689662; 131050733; 6054313; 92770063; 840823583; 871143900; 483424830; 485404414; 687038444; 916176417; 460419960; 1043284457; 931242588; 206047483; 963820606; 530645249; 652259498; 151635233; 213574963; 495468864; 711917915; 744948128; 871858347; 810348129; 91084067; 585201293; 611566856; 678578836; 446681736; 158566717; 612510622; 712483742; 39629234; 867357821; 361436826; 83016072; 105020691; 435846457; 735802135; 651956282; 956546737; 36018985; 645418970; 1050379885; 685208541; 369960808; 832004714; 960435301; 515507038; 546295035; 1027494663; 454455892; 794380237; 1008014484; 207079712; 608274718; 923114172; 768867338; 688370702; 267262562; 223750481; 587518424; 830301323; 265180784; 40359662; 182146315; 321629794; 1049161777; 89626971; 225212786; 101617537; 319150567; 602705391; 845542642; 117036491; 775200868; 296391764; 1036690272; 781636912; 650961617; 854131267; 99463451; 787993949; 973046133; 457598992; 943966678; 945191403; 20739338; 1056774365; 599566482; 294220810; 24697379; 879819270; 952183297; 123769272; 551060856; 207527881; 635963579; 758894624; 1001092820; 956290913; 583200258; 448735733; 14550519; 373192435; 1024101580; 345887207; 760501426; 647516773; 37848883; 574584974; 743960819; 497400237; 605932645; 1016808163; 853850747; 75594857; 288450013; 622469339; 408993833; 787211121; 178935165; 300846433; 1039144063; 68791921; 599315140; 256712585; 169715217; 198952772; 699658369; 380260933; 643549602; 21149553; 985357615; 26977954; 46491995; 101814463; 858184360; 231044148; 848139011; 30514382; 934430055; 186969336; 261107632; 903198648; 184459135; 360665746; 349466265; 975282503; 550228487; 753912701; 572975288; 821563801; 243565559; 722803210; 115938285; 1061862168; 256417965; 846739319; 758824911; 160832876; 535523103; 348533773; 543139387; 456907364; 21616208; 730330584; 863902328; 470334313; 190033211; 790580784; 188114745; 844783887; 791537166; 534615692; 675119731; 412914789; 292815479; 361931626; 554117971; 580420791; 53119012; 562167715; 634519003; 663529614; 575733153; 124616943; 685368639; 191477016; 525616219; 18471701; 491349635; 571558753; 994162597; 312729934; 265432481; 244478924; 214639248; 35390053; 687656925; 996344581; 22503346; 389898127; 112914398; 602965512; 29678225; 232360792; 692028350; 434172125; 224448287; 204975871; 516550223; 1016877802; 1023934096; 1030004034; 1051845517; 269776185; 266536245; 644874407; 843127957; 650169778; 759941707; 17061896; 779314618; 621949665; 606542731; 294700197; 673634023; 1027214135; 1068223029; 435231982; 43770198; 142158631; 413673463; 141204241; 183689746; 885924089; 672459586; 957095954; 190338250; 409014856; 830051795; 327748723; 852376670; 924803381; 635985460; 466724441; 207624558; 397209310; 253753440; 649577742; 721553468; 665386468; 304146092; 190636228; 202058418; 561458383; 417116149; 91347018; 528811493; 131447187; 921711924; 607737487; 325175884; 477350400; 1052257009; 1016031817; 592076104; 385889849; 677823664; 844796233; 552588367; 104037095; 787700560; 767225633; 799445710; 762008617; 50540728; 816453134; 677167430; 578655208; 582355934; 208548908; 1055588575; 519756937; 912192976; 244692563; 375941064; 950771997; 432961994; 780562978; 447449632; 639338730; 953973335; 64638075; 536069647; 770973970; 836390607; 933126174; 1018565440; 388966903; 649878426; 653752692; 48543894; 808177701; 662310030; 818422113; 777370832; 513984832; 490889892; 245025326; 332800837; 984389026; 132422060; 21506271; 185703643; 257438056; 449158285; 249198216; 842536562; 814399922; 246354053; 710887887; 201257178; 234563094; 97109233; 705690441; 948644313; 930727149; 835581735; 193489005; 560714966; 495924155; 364136489; 469644497; 957616788; 222564011; 1062352369; 373653188; 418232338; 209068821; 8778731; 1027423067; 1067400576; 691682685; 76036106; 652508097; 733455093; 151773964; 823790882; 589220201; 709566666; 684035587; 205892986; 1005528607; 783622856; 747774567; 180103125; 189674807; 672029556; 1028941857; 269007845; 935562420; 761843558; 51663831; 783643862; 558599104; 207670622; 867215556; 739981126; 802331536; 1040190664; 280061901; 288953543; 773991309; 222682300; 93751980; 63335491; 387899560; 889488904; 280167156; 922098978; 679886584; 18864341; 287229583; 703675972; 692448700; 436464935; 838627871; 760821386; 546706652; 779691923; 616905352; 1033945629; 476604866; 262070371; 630100095; 882618957; 559992089; 860925110; 634647007; 976237809; 440583249; 614981696; 983013803; 36859246; 341357935; 1064156247; 663134395; 550069379; 423058861; 151314747; 763755133; 1068459019; 963610385; 30873299; 80331105; 36016131; 755558649; 626158797; 1011886679; 101401196; 468069352; 1008515122; 598761789; 951152995; 92304558; 962780879; 506814340; 965812111; 437381502; 372044194; 776622136; 190056733; 489243561; 823266244; 979867567; 343680746; 877326149; 366364239; 386878081; 739998745; 950050989; 192912091; 610823786; 673982028; 755981750; 488230052; 28796163; 466456539; 177495627; 466190857; 894333070; 957712562; 802342270; 291046267; 208149714; 572374822; 466963077; 513779962; 437835074; 179980880; 28500650; 937025872; 853520076; 951250892; 752068501; 872610408; 769836341; 1020538220; 687928451; 231358088; 172702864; 233198411; 232974740; 840543626; 240891583; 394427664; 989527371; 615600002; 493335581; 917020574; 256243216; 380430046; 499079872; 791548686; 128127040; 684892157; 96747560; 907251201; 837312184; 308144421; 717874160; 632233739; 155098209; 251745386; 1024465005; 815113585; 900606126; 506389187; 558546868; 57720404; 113596216; 958854705; 28437881; 54731054; 995991704; 10520505; 328104579; 832175022; 1041198495; 936557618; 341805577; 455508054; 473651824; 853612716; 94151117; 25915531; 468300055; 201353608; 887921173; 884540574; 393450452; 707376800; 1037510808; 491770145; 524341364; 316178036; 368168505; 611198728; 286048263; 371338005; 638359041; 704982956; 909228682; 928213716; 741275378; 557430919; 92505828; 1073552401; 804926628; 597166681; 935475234; 1110318; 194637307; 560543573; 798007274; 376554810; 777575278; 837763406; 112858353; 271321971; 351589511; 438729608; 771060028; 165830636; 467360832; 327573553; 978892025; 64734711; 1046992457; 619263621; 207074798; 1023496489; 595686727; 617039558; 950059150; 986082085; 15528164; 921714990; 240661010; 214512042; 376442874; 953825666; 341047832; 1047381652; 171454038; 169349590; 708749204; 200649424; 258691601; 551602803; 592597885; 1052643872; 310494527; 155621881; 501626235; 422395776; 677753832; 206468506; 60061393; 604901493; 280780435; 972953350; 744779661; 572438394; 650605274; 779568376; 120102480; 772849867; 122856468; 123418285; 407669386; 397790251; 545339768; 54614466; 1057061484; 745024934; 930442013; 1066011154; 346924918; 107651729; 470814196; 387202433; 835609102; 977870756; 371731184; 345109510; 916364503; 283372961; 1066781010; 950724188; 357639003; 772775683; 670688731; 583645489; 927759969; 793060987; 138340264; 590233616; 193757095; 789529192; 216614659; 479683247; 226696877; 519911761; 24398709; 130936520; 860611467; 1005301789; 899700776; 27917065; 878749841; 810574420; 672902387; 305911685; 439032336; 255261528; 490183516; 414773528; 476319046; 60291844; 1068435539; 475969675; 225497012; 817007395; 943153426; 255486865; 138720005; 228698663; 1064557175; 517494992; 453551190; 443217296; 552912202; 755121099; 756162302; 99352517; 827123971; 56263443; 568350818; 406200393; 665181565; 550060518; 261655352; 740554889; 259977308; 768823470; 181110474; 624850822; 10440152; 601465300; 677927083; 1068034477; 970762898; 535589307; 582416170; 385885066; 281182665; 29804918; 1032605087; 364682054; 892558477; 882914747; 143088676; 655490965; 219940167; 784524736; 900780359; 27936153; 695284950; 518143414; 263553200; 313303985; 733934956; 108147540; 931067428; 922673817; 713315436; 428285426; 217892477; 852225845; 1045320925; 957042253; 497442455; 44603458; 934108773; 104972954; 260956511; 24555664; 370601379; 455413139; 200605577; 90048182; 823112038; 368705368; 555362938; 282694080; 830226232; 196612411; 690436950; 172589297; 766329328; 728754728; 688680333; 230867442; 277598021; 94172174; 75911972; 675917407; 406997139; 546635012; 701534152; 38328526; 24956626; 948435062; 110579781; 206651389; 99910026; 209855514; 809024042; 681553094; 283916438; 754182334; 669706960; 532213150; 69212878; 1068897802; 978076331; 215003422; 801227922; 864017143; 214960976; 768172829; 482584980; 715815533; 359764008; 507898054; 150359110; 904910451; 872020985; 336113542; 969571321; 452385278; 832493266; 927667380; 732948677; 430171167; 382280376; 733115526; 249633657; 642516097; 369650781; 995917001; 601361638; 1038486040; 723000029; 1016875031; 928938173; 836774487; 749139453; 726163640; 662246349; 219917288; 695599181; 713881306; 333122691; 1045804977; 1065034186; 860436410; 668078546; 41525776; 571507842; 950757166; 701967121; 299924300; 459498274; 402231876; 839546761; 306242912; 37472910; 230924534; 686373686; 426411632; 364791799; 960603822; 78484980; 233804294; 882091059; 227263569; 44259456; 1044075641; 93313834; 74062082; 370604771; 349267236; 197034807; 910486991; 769754563; 138481043; 92955588; 669091762; 668506991; 364872803; 415991167; 380105952; 789900190; 996844508; 587803617; 865845943; 905786393; 891468360; 806437509; 619176079; 894855106; 983028615; 851000561; 233971020; 34971037; 634433699; 483394564; 861002203; 9030598; 892249509; 1024111270; 175570673; 272935272; 505195355; 627956177; 828957201; 479120070; 648464391; 756509194; 505196418; 619052444; 391506851; 76667079; 942915002; 1018696382; 621184362; 334035874; 455961553; 872269915; 625012227; 714578873; 718843250; 107222383; 545534457; 41788196; 1002732972; 279556714; 548233065; 650728368; 219157599; 613918247; 967299825; 192455514; 6484844; 287644242; 953717387; 849952550; 502628534; 1023848700; 586665410; 720014007; 897718982; 366207048; 232242146; 393294787; 342645523; 114185690; 540688529; 468503356; 97289052; 312301874; 10044361; 283474037; 562520571; 1059295458; 612990007; 468186301; 798013188; 903109814; 206488187; 914007125; 614929991; 1026281203; 249385257; 43852819; 192462522; 837268983; 694735010; 209539507; 454329997; 625332754; 267680583; 244298438; 1045474028; 665682252; 692651143; 302063558; 198320939; 850938029; 220846965; 185070727; 50905557; 27036863; 405324797; 206257579; 161869495; 53340171; 857141861; 733087752; 356843803; 880567948; 649216328; 88766077; 489940621; 918490730; 864487361; 175681459; 1001240681; 444365725; 146621565; 612758376; 110402859; 754325751; 965643950; 823388294; 815288609; 48766267; 180483935; 963475332; 933652728; 208152958; 452995546; 558865330; 760504662; 882993018; 303872030; 717087519; 82921237; 225831974; 559982956; 64653011; 48013393; 893412189; 336357738; 867860714; 949876298; 669892866; 784259806; 500338120; 571920722; 216551504; 79211664; 455865082; 1048258065; 972685995; 665134874; 126915973; 760157416; 721305129; 112025586; 176293030; 950166928; 970604394; 607240693; 502996858; 211451297; 50195131; 909452413; 974091901; 1011441732; 579398956; 940335137; 388327055; 176706900; 390329577; 1065994376; 1054926082; 399477902; 906058768; 907169985; 25340505; 722753462; 1051321496; 944862025; 15629841; 976791503; 1017100947; 953631385; 766792489; 1014451155; 306419456; 243730558; 187210239; 17236593; 706742468; 395729132; 101959337; 21021745; 854542257; 474133503; 108042915; 104853903; 1027025813; 947145951; 179265483; 329516514; 886815300; 83006329; 109124696; 599104437; 36410239; 490328916; 812533111; 787253500; 16632429; 1068650599; 1011540597; 1041704498; 154365569; 846230939; 688436982; 1053872263; 68675352; 806477832; 828350928; 1008962241; 403433452; 520076027; 256671807; 244381266; 280610696; 874819434; 819050556; 160785212; 567235641; 434296096; 845919286; 47478351; 687438483; 117656763; 438855822; 158157898; 1017078731; 918215752; 625564444; 705112699; 398100550; 417969584; 142644940; 435421032; 1025117149; 289744936; 15698464; 49001360; 538602352; 986013441; 937294509; 289123964; 24250518; 63197443; 182349807; 914610589; 5465068; 515038769; 698166989; 659668744; 132461436; 722360810; 422823440; 652967575; 642782128; 526600573; 253256899; 686969075; 92893439; 962107694; 518093032; 799525465; 252887294; 1051089797; 117777721; 823284049; 860777405; 235251575; 937257916; 922022894; 892895773; 308674108; 956196453; 260003208; 915720165; 681503791; 518136838; 760707453; 851123202; 1023461776; 414170551; 81220247; 889673249; 673214127; 23647361; 1011023993; 947505296; 623241531; 578643761; 733664213; 126724155; 1046143772; 110415240; 783815602; 866719102; 442797880; 353534590; 382237944; 99285266; 387493955; 581888568; 612440863; 917753697; 578837880; 1073022673; 951698901; 877017527; 549952804; 405162722; 397719872; 530642782; 637455365; 616256845; 65650671; 307480645; 312870910; 47656300; 889973851; 181195090; 694741811; 702091518; 636043626; 1053868600; 465961778; 96752704; 1013203699; 790052494; 863995479; 165379225; 1016734644; 214874054; 787834125; 864221889; 737114302; 1053927773; 88618140; 887628901; 599255586; 820620177; 396374720; 748052530; 129189195; 157750141; 486464888; 81120459; 1047400440; 942226349; 759862797; 879482091; 383433116; 141369631; 670751468; 1040602054; 174059995; 979027414; 490097943; 429434360; 14073496; 648837254; 755039952; 642779017; 212260869; 931690407; 947263295; 872654583; 760222748; 222683904; 551824752; 558980466; 391578939; 967181357; 856245034; 975380476; 1032689566; 631016503; 238010188; 510309354; 904232822; 218210750; 938206336; 689560245; 348135387; 652821965; 1039593180; 762863950; 476771886; 181629547; 878089982; 217343530; 411234005; 25882657; 369179239; 569339160; 562267198; 1008072217; 969470624; 524274013; 140800361; 379216942; 1053086355; 1001928308; 120836870; 1031067215; 560205554; 982414661; 46256367; 131389633; 910099991; 705050012; 475429666; 302580682; 183654325; 458677572; 778477360; 826723515; 477928204; 458835525; 744326249; 713270817; 39485423; 490747285; 675026702; 563403788; 488763661; 748721832; 411678664; 588464111; 106204531; 440481396; 157663147; 909170659; 206281122; 371316381; 1032094101; 764884298; 764948070; 944343471; 1002947260; 462721051; 330770877; 224282821; 885317613; 435684902; 1005933583; 660148655; 335758609; 902011661; 836421990; 678251753; 195551997; 1009082042; 226737156; 879751239; 295251105; 696927592; 859403011; 46066883; 718045763; 419667626; 322583435; 736100426; 1003434760; 216768424; 756262326; 990089193; 876040467; 327553376; 765464461; 252068478; 849082381; 906863076; 38729536; 1019546653; 691938160; 927167873; 229043134; 235064126; 1010495432; 748496932; 291999134; 881389837; 421397473; 252939187; 41399225; 57094010; 493618694; 951582190; 263729878; 241787697; 523521127; 103652192; 961097448; 719405820; 258109078; 487308321; 173514240; 715401921; 49267384; 1037252983; 776591267; 573037594; 579259519; 787378454; 445198423; 512069630; 55199085; 22639856; 1023884750; 492645274; 971053146; 1019183322; 249539310; 569792703; 856418014; 74293007; 604905587; 727897132; 735978720; 572098880; 523605321; 303041084; 451297752; 467302410; 808828914; 201145165; 230795606; 565049234; 416428360; 641579965; 392072254; 230281859; 574669256; 969481247; 368921440; 705906605; 688912161; 996535015; 783328953; 865418640; 286240446; 351856886; 278166884; 608942824; 92471679; 322796187; 266573845; 352449854; 1015356406; 44835280; 923613461; 83376668; 735190239; 638804939; 702266571; 579409526; 612356473; 551868404; 556624255; 157470882; 20452634; 479380708; 30318296; 579125843; 400529112; 454609925; 598520177; 486529651; 462290412; 730040604; 984894478; 258353413; 997059090; 175843647; 522588249; 952975616; 241738447; 996203586; 576340101; 472051408; 643447056; 1022584098; 323340090; 606103773; 109499572; 135329583; 614369899; 28590717; 51697885; 765320543; 50750756; 740483101; 273558314; 1248804; 869341524; 587636587; 76207626; 1029584580; 74267654; 1104176; 686752873; 242271048; 546341032; 89854314; 721369707; 764725085; 316352236; 286190319; 321398661; 218040089; 712976869; 681491813; 658720096; 612891052; 267785410; 483625271; 841475987; 595585248; 259918397; 570488262; 792407579; 517047909; 626018809; 269738534; 105947926; 9510808; 758580395; 727569126; 1013593268; 1019515673; 322287550; 401456229; 111847028; 1068683112; 338547145; 467450581; 517788245; 166261277; 458734321; 185409757; 562700931; 805790702; 786200829; 104778598; 929957167; 618008034; 387363464; 696745493; 135577179; 824587916; 442405605; 959889513; 154629402; 573256133; 290528712; 618879438; 348376504; 1052846363; 232928991; 858586839; 750603359; 284138813; 147106386; 876645759; 616003620; 269568610; 319808904; 238190606; 247174315; 566874767; 518499435; 594827915; 547159514; 689080658; 614060696; 664026272; 999144144; 100182950; 1055455242; 819517204; 60658583; 378918634; 380769308; 944408760; 827136424; 296303508; 481300031; 46213363; 11115471; 225051640; 531909096; 343296069; 137477727; 992935968; 526575251; 336649160; 224027627; 717281305; 922745120; 413500747; 368465796; 860255068; 982315584; 649743476; 21836261; 306771495; 939971940; 484935691; 547434813; 453219704; 838729581; 189390906; 467885322; 1043859638; 30631412; 995739179; 71099400; 775126846; 783770052; 135853386; 875982456; 17022893; 690594793; 497906624; 669326533; 1008466029; 218720054; 513326755; 626664380; 470723628; 563809069; 898845924; 631477729; 918104491; 628405468; 422465853; 712062105; 931609259; 431038523; 82206751; 997457493; 989300266; 604045055; 614412606; 645875629; 838963257; 566421790; 701604079; 388442415; 865553785; 181674801; 718105972; 687681080; 953182648; 612393601; 471780796; 667641723; 5285982; 486436555; 386832802; 820989875; 727481447; 185240946; 740036352; 543069808; 761163852; 764629776; 870532217; 744795085; 745648861; 1048075189; 663456294; 476715334; 412833899; 750940455; 445664396; 695067920; 645076684; 331094520; 648346866; 114665270; 112330724; 459108365; 67053658; 344795290; 845587430; 741958947; 800560413; 420129575; 118095961; 606653418; 89183954; 634473930; 183155106; 503782180; 701917540; 255678637; 150644368; 961691311; 287586015; 350000871; 383353310; 353046079; 272452140; 136015754; 337321627; 859739096; 7137947; 579906013; 923998878; 592208944; 873982635; 98722915; 194053476; 853984026; 68614158; 752820763; 1037009092; 564951586; 444487334; 642980888; 631433063; 1028421615; 693516947; 861847827; 980873876; 982243805; 30326906; 93732188; 1041968088; 898143112; 689220371; 376317306; 917388997; 339707021; 486323499; 819179398; 161798918; 104529498; 168625706; 715139731; 821243739; 88420396; 324236787; 643722046; 684959097; 992983802; 306970412; 139992589; 1055095617; 217946856; 303758353; 75386276; 1066759795; 742921994; 420811165; 644647075; 41529891; 757999359; 947824455; 903453406; 278987977; 523658472; 119879754; 744920122; 129210295; 455190472; 886580832; 741328718; 925945859; 861743774; 37038520; 856749446; 764644732; 873771723; 78899860; 164741455; 413912174; 974967604; 422205288; 764725271; 369800839; 926825253; 68805174; 551135680; 224754261; 114721007; 818876197; 727993051; 191168230; 847775216; 830500400; 112672415; 303403363; 880194776; 112485086; 741573569; 48444632; 769608876; 248440259; 213779998; 567719039; 259244453; 508797354; 42711253; 558867015; 778957936; 677380572; 126854375; 132471499; 813051371; 711445367; 1018277505; 672564636; 167722838; 1020605586; 718610725; 165083295; 88148093; 1016278489; 298363887; 17040079; 856851670; 814597211; 229437683; 321563103; 533766772; 378368972; 231179; 925432113; 555778030; 367366900; 584887306; 737103988; 859104355; 999625181; 472229093; 619468946; 731165574; 678914775; 340984455; 45137941; 903916246; 478881245; 181951931; 270550688; 683122707; 166603016; 126099958; 101485926; 93590302; 1052812157; 672300834; 799709623; 1051190529; 69493578; 72699906; 781888311; 428177122; 94620224; 134896984; 466460448; 760262630; 686766849; 823745646; 1042129538; 1029468523; 604352424; 641542307; 446948649; 832313469; 910487383; 211744925; 683399064; 521861861; 951532119; 351220204; 528162056; 1071768164; 414674948; 439609998; 633431690; 273424101; 607077585; 308912868; 507779450; 338655234; 853180893; 1019258981; 944184205; 261992990; 826898171; 345079319; 491653039; 1043099896; 333401581; 647117006; 276759238; 363725308; 1048384295; 619707888; 781372495; 817246353; 686709984; 643703091; 664102548; 327092438; 429787008; 287532405; 231732712; 419205589; 763189503; 152608878; 793642210; 307462996; 24514706; 489582335; 810645658; 248533174; 487404808; 706501532; 289015651; 1017011566; 1024481217; 573666258; 1043016330; 168800004; 448879263; 792699100; 775485823; 534742999; 385527847; 746149042; 430761863; 135260648; 130400825; 909913763; 140427194; 5617687; 631796618; 768769141; 8480552; 643366695; 212203584; 438083910; 14011197; 1027128961; 140402690; 194087071; 1062756351; 923132346; 693536553; 1028160016; 711467822; 234506224; 281001493; 722489710; 529625773; 908927160; 899278548; 447281993; 509565071; 84177581; 741554297; 961501942; 704923844; 177786614; 998648387; 786296517; 752745755; 421223337; 686206755; 168999333; 40519728; 925440287; 532536575; 140035062; 460641744; 131896245; 402579952; 691141609; 60992133; 416227409; 378280140; 57142609; 24726467; 759300956; 296935392; 91013749; 637586392; 885655442; 726200853; 846712128; 1046751871; 740882779; 53261153; 859440102; 384767941; 644743545; 898461854; 25670561; 390144941; 462185482; 207341094; 58988697; 588760204; 438859649; 205130540; 922022179; 157484153; 825896977; 766945737; 971020111; 95819525; 802525832; 1057111856; 12921930; 1069097752; 431427178; 984525943; 305629553; 129973279; 957825654; 548307694; 580759910; 334722096; 400864659; 831076931; 380832520; 243027399; 921631610; 134664253; 291678037; 636356177; 535539983; 404499135; 200393392; 282573123; 854271217; 1015921231; 864000182; 49425065; 162228665; 318689913; 1045298324; 664720967; 159091447; 966378647; 760920027; 493886674; 669086512; 535383417; 136611966; 658174507; 539319921; 596927739; 348667205; 453500560; 1067937996; 96098921; 817315655; 1068111277; 563440477; 99940702; 376608834; 614125828; 687522545; 335792946; 110604844; 276180337; 446478535; 31142424; 609344146; 542297053; 991391978; 982849266; 1028585226; 524895176; 998153037; 277650445; 991153573; 1187914; 21539238; 923576910; 1017463547; 458093567; 835152491; 219273353; 96824677; 997671263; 512622227; 793957013; 61668114; 242792994; 498284349; 824692116; 154387586; 849015275; 935110737; 246130931; 5022650; 270979906; 426149263; 245207965; 215997603; 222835981; 813923821; 979192232; 964149577; 892309765; 981729578; 778627151; 1011470582; 350220132; 286079311; 937635371; 184814273; 631397064; 634445519; 965006445; 857931568; 153034545; 471396667; 757797695; 315023283; 483202715; 1070570081; 332866268; 966020878; 396206132; 795451560; 146673012; 1032272110; 78703955; 370811057; 896188636; 922709773; 638084896; 734597497; 280159888; 244516480; 454455319; 25860743; 540093034; 51500115; 1013180030; 447626559; 709145493; 727833942; 465385473; 678229242; 277619548; 369963653; 276231751; 738594314; 621595626; 519821215; 886078959; 902565255; 755350710; 831397700; 141053935; 222696784; 186343235; 95410139; 250221086; 400153806; 366391424; 672320166; 523139314; 77772267; 735013924; 145890498; 559825596; 969923434; 431270266; 689285423; 375834500; 747213565; 443890338; 906984875; 31986308; 710436619; 246684576; 908355724; 506092989; 340123593; 326152326; 1072713691; 892981445; 343229362; 864487075; 935025036; 1051267163; 297566785; 662701356; 373214486; 166663443; 754471612; 455774997; 599936721; 705560891; 482671411; 1846798; 351509358; 661887322; 59615166; 310948607; 403308972; 613004574; 645266269; 762150395; 57439211; 665428096; 907355617; 366355973; 782140730; 998384205; 93704632; 819561555; 237134608; 412243098; 241933725; 882385798; 838248340; 1000403923; 564738448; 108763801; 131851307; 472325856; 385291882; 231546564; 865863889; 617835168; 350887479; 1004207752; 607553404; 706711837; 822813186; 67695466; 703021752; 538778025; 1065150175; 871363394; 424391847; 425207258; 723631024; 1035318602; 995751945; 602399689; 409684584; 904269055; 997039994; 904002113; 1060844545; 769885696; 1047298807; 177646951; 503986124; 253909354; 748959384; 458394760; 285008194; 444879737; 873943941; 270604615; 415863893; 609882169; 18189482; 92593263; 740797883; 331447640; 877580417; 449015341; 769987658; 325882262; 722198691; 782732269; 561623447; 18218770; 70343508; 802661867; 252648848; 259969096; 470854111; 1026776240; 500493884; 581582298; 975283636; 225496365; 788079981; 280424590; 558939948; 277699601; 321653541; 10145280; 113990721; 1027177616; 81241660; 1032148595; 616782804; 598353171; 529596200; 843432162; 511908162; 127513388; 694644954; 902140944; 619669214; 837054852; 1008730245; 716719268; 122529484; 430456515; 961670222; 486187401; 19576901; 725482607; 298531641; 977658429; 85748299; 1045795425; 128152676; 2611352; 721275667; 172036748; 150789272; 165048050; 1876894; 499818837; 689111384; 112130572; 684591642; 37632456; 159531016; 861218107; 546239422; 677857699; 168431098; 751082939; 527799229; 1016482897; 489181124; 399241647; 43757948; 1066261960; 392580790; 750781024; 161516319; 138482485; 261097950; 23589734; 870139631; 647188670; 734919037; 742011754; 789962736; 527508325; 279051444; 20993894; 448659101; 441008136; 587945910; 9067978; 1053691194; 890662824; 392357460; 316895487; 329376013; 166712178; 908420990; 583451227; 541483896; 179887795; 413293431; 235289876; 662248143; 905771770; 591193095; 652507557; 815026463; 543189895; 343531082; 297502092; 601666075; 947434049; 1006160794; 98947832; 418886463; 1044189638; 91195130; 1012632791; 332461908; 316135215; 844660503; 470181539; 378294671; 972928792; 967253253; 575332569; 291751476; 1063562173; 526115271; 979588936; 171500809; 635870670; 932811944; 792564595; 1039535315; 641832553; 64337720; 57170943; 622730240; 31248853; 154080714; 785041056; 836498008; 217370829; 455279441; 678741334; 575807697; 379327677; 523317136; 967972706; 295032478; 951137367; 335610968; 805732243; 662496619; 1052980693; 366481811; 587189255; 400062887; 118825469; 740946241; 57712273; 453007622; 611996598; 339427310; 311662722; 686149006; 1058939978; 731300924; 828129032; 331583368; 157130773; 395025377; 874591490; 985279667; 394894227; 508011715; 764118777; 468052187; 702644047; 123982705; 1011434953; 639628785; 119636044; 778768061; 1001970300; 286320037; 115393666; 903336873; 384029497; 838838664; 71026231; 524757285; 732486477; 517513983; 307330633; 978079774; 871309038; 862026539; 606587442; 5911017; 586228908; 32141756; 390242894; 864296810; 731430437; 261099633; 917557460; 909925691; 597580953; 136807533; 759077182; 522650311; 138522316; 761040183; 273280936; 580889591; 729206949; 816188248; 708407522; 648091954; 246381731; 996457240; 857274285; 91964667; 502256767; 722512489; 122893167; 218486997; 724505181; 510968705; 355527788; 929084780; 64403302; 626639281; 883628432; 950146141; 729862767; 117230385; 285338220; 883923994; 722905428; 605884657; 1003206986; 43840085; 476060624; 626538437; 829513066; 326303688; 438699572; 904759630; 49722031; 103849208; 192962359; 1003021254; 604394491; 914931270; 90057869; 344661807; 585559475; 434911440; 408344273; 933504818; 9909027; 225833989; 715896284; 272246877; 199413282; 42129370; 1013640564; 681988493; 870354046; 40251811; 869643403; 522182464; 735335925; 291410627; 843927549; 940217004; 236515858; 718043195; 423880546; 33303892; 978799429; 1000765402; 684883996; 765983934; 534987600; 841230113; 221124240; 576879992; 816271292; 442172366; 459437710; 889264445; 221781106; 1048588841; 579430105; 372450287; 876746112; 109328596; 612320054; 438661794; 288305742; 975307017; 625890975; 719538733; 964410491; 805189737; 354829607; 952827817; 367773743; 702656209; 192985017; 318127186; 1062455462; 873717781; 665474305; 494925633; 160775497; 194927032; 45727425; 832330569; 382474592; 504674974; 1067645285; 519670347; 478846832; 682043636; 425241449; 1003420111; 262512313; 638869533; 399802777; 1043567300; 740535726; 86005710; 1022662444; 276960431; 124847971; 695372147; 914911056; 168314140; 23190494; 16306275; 270135723; 918813402; 859488262; 888203892; 601164682; 361542138; 648318451; 651555533; 429827948; 74046637; 512177601; 776229342; 247244042; 805476032; 948663192; 871808530; 284518788; 919673899; 844359144; 188272750; 218102487; 607691834; 90381001; 911873727; 535808351; 866023730; 853756266; 135644498; 632059037; 1002002556; 494021894; 11899952; 688788951; 555001581; 878905685; 317288143; 350779638; 994317014; 788278655; 473055360; 657543323; 900236139; 176055823; 925746353; 827994831; 829429451; 295239702; 250057292; 274651569; 1070286972; 265500949; 572853228; 391904999; 252913605; 175180753; 655624397; 751405972; 632079942; 395675263; 737211765; 728797811; 896015797; 285890817; 965976548; 901743730; 982922192; 1024452141; 869936805; 690996082; 1058156899; 974871317; 349102744; 431058561; 1004079375; 234411954; 328913872; 1037289116; 912758750; 736785498; 432367225; 753876162; 518589403; 1029145720; 274917119; 672700593; 811559419; 270920489; 952737417; 138093936; 99897912; 82607001; 75009891; 700086108; 64618975; 488479653; 681865075; 464994910; 330734446; 574529627; 37625554; 104362861; 277160685; 849237508; 438688131; 69933527; 937551258; 163424515; 146309506; 767149265; 275948146; 956680740; 222923109; 791665349; 397310828; 562426553; 363577979; 555002015; 410668229; 201803599; 1070128086; 797461771; 513000396; 521463549; 835237961; 325065034; 810451141; 97596933; 1037004227; 3057240; 744005620; 86594696; 663876625; 978048703; 475606045; 322766062; 751288879; 552008175; 477144787; 631392541; 288126191; 438059718; 819043243; 775870141; 658127925; 1041060024; 741830405; 472214602; 762726013; 166307407; 561191683; 1058966277; 735291778; 480143371; 659288112; 73863410; 381085686; 38535514; 781733134; 771077840; 1044992027; 886198596; 409373867; 479262573; 604564422; 524092191; 646146145; 412157991; 534714851; 55324834; 597151089; 23450631; 327616161; 718554238; 585516739; 1031377433; 691279092; 336379720; 622598826; 568415032; 990771150; 270308878; 355179060; 902492842; 948999061; 590555844; 1033221299; 1041423931; 266928989; 723112923; 375151493; 56805729; 684721187; 426590797; 115139084; 264354954; 904040097; 771607333; 598958091; 177902649; 1032807122; 507494669; 203804039; 98775084; 285933724; 98278580; 316666926; 184644086; 1031299662; 192979681; 967887349; 211489675; 595217887; 101333667; 171724834; 109735750; 349996654; 227397061; 730796568; 1061122042; 629688763; 120627019; 522715444; 64279937; 273954130; 970067733; 60514365; 496465414; 1064214618; 722365759; 446004450; 934381036; 306179095; 1062011954; 869065029; 240842183; 140576445; 693928537; 40432254; 148696883; 903509577; 452726000; 438521152; 159998084; 1066879066; 618038497; 596226062; 116127665; 622581370; 876346858; 509715212; 440670249; 581777194; 160944839; 912822766; 312503759; 9569512; 839918138; 716883643; 345939153; 892682406; 339623116; 423224337; 747029378; 15551621; 649726543; 207312241; 1071684576; 701014380; 90534907; 411975861; 362072185; 615914767; 48962923; 504579304; 789770421; 1041283176; 768866064; 139970823; 690477188; 912357531; 376953613; 724399418; 909857947; 547353891; 373889889; 733723561; 651850356; 1050136868; 342303448; 152014619; 220100723; 844642047; 367574177; 982160404; 453543431; 982903350; 15186895; 320756162; 467176358; 427245925; 44533009; 713321303; 564237590; 298541267; 376799715; 814623839; 957089406; 339915388; 800125242; 989219092; 417799338; 98773162; 839523936; 881469485; 39934320; 347895604; 857332390; 800601690; 529830443; 849607429; 54260021; 720049902; 453020814; 413497578; 180556702; 317867939; 412139943; 132280261; 286999963; 683828461; 588968349; 845717913; 152563844; 231262428; 905203311; 97882960; 593499441; 354250734; 450791650; 821056679; 1060583278; 654911405; 546394901; 845663852; 802816848; 797906653; 808852630; 742006253; 648251928; 935993959; 120888950; 355410149; 43606530; 734200391; 334156395; 108588472; 442346283; 506460950; 282994174; 229337261; 699647674; 521543731; 737585493; 43394934; 343553752; 91336680; 413259278; 575761240; 201028331; 1043607062; 788393329; 229884744; 162126437; 881595370; 767369673; 629699446; 57291013; 124804416; 1014043033; 658039099; 682414108; 112491395; 338100196; 866475275; 363939305; 501273677; 813180821; 306851362; 530257762; 969528037; 725955864; 82802923; 385787316; 327739487; 1013706570; 818634918; 99607653; 826172820; 966616342; 657374313; 103259232; 758484824; 825896955; 97277120; 967445616; 1064406782; 779494849; 126500296; 350603593; 595747334; 462604456; 576287491; 760614286; 304936349; 786659053; 342689685; 889387831; 4882392; 460959895; 220199057; 220037578; 582413209; 505941904; 213414274; 188663596; 407245753; 906164013; 949594534; 402622725; 764731375; 669315373; 517343230; 27312573; 983276776; 1039720760; 769308950; 945904972; 1056964577; 413516017; 9400326; 678864527; 480503976; 70702191; 67090144; 77036898; 395057108; 164946224; 961985152; 71618238; 127705881; 1001606832; 698027424; 717847147; 1053387431; 990291359; 813110318; 300847446; 1070867729; 587248702; 817889126; 512622350; 478889390; 746690952; 365879740; 552044863; 849601274; 409656064; 261642225; 739928931; 383721603; 564572823; 387029320; 84226533; 1048354479; 627828165; 818190370; 406729553; 752951853; 384018530; 892446041; 599562251; 529402487; 483180178; 139850240; 583849127; 422230311; 310087622; 773407602; 1054889079; 688243624; 630197398; 13557777; 390884185; 238350531; 737930962; 62605814; 1050498708; 118818866; 858986851; 378902203; 5830486; 533482935; 97467692; 734567477; 242018782; 209915277; 336466741; 75504971; 634315651; 906724146; 874458786; 900574784; 2759501; 359041545; 814384606; 443736574; 855166115; 872706521; 30944312; 318843748; 383617549; 109979954; 1021448015; 782856169; 496392365; 979463034; 574300525; 225497; 236457561; 546793187; 918517842; 766333439; 905816657; 284505323; 222572081; 437640095; 939334033; 460104966; 604024040; 425201654; 694379812; 731616400; 833685536; 312389602; 508891403; 126320778; 810631807; 352946166; 647340095; 439233445; 77599165; 961127955; 692644784; 559602355; 451223425; 895481502; 745432108; 924975924; 207233351; 950816815; 915756329; 147937893; 867482386; 729854657; 578247166; 256631373; 1072097084; 58282974; 231710337; 795702560; 952451153; 284945899; 270475842; 152947425; 618025795; 553789930; 681892643; 1031705404; 603610130; 5134264; 348802747; 766459107; 352599638; 633618929; 307884391; 1005211045; 500778879; 921219465; 1056576947; 499606636; 158025371; 975468293; 783574777; 704252234; 306290337; 549818473; 90731228; 513858363; 640382038; 814877275; 184621719; 392803374; 20235737; 162888190; 226423290; 709693692; 765162677; 255442555; 28754619; 178771867; 542404929; 608310975; 811835230; 83204286; 164728369; 228287558; 305352534; 365125799; 879142210; 984572542; 166244860; 734849463; 33430140; 117569877; 130734640; 494039803; 710074951; 644080544; 638128338; 680765349; 780095810; 1021453887; 389288206; 816083268; 31574065; 618345318; 80970926; 710682565; 915872161; 459832748; 962488291; 834110868; 485403102; 375909062; 996168718; 296818448; 442909451; 902992667; 805660522; 632391008; 895069155; 354296705; 378729488; 654807286; 574773814; 357212555; 591005814; 365951237; 618885; 936794710; 333160692; 128745036; 478631517; 488995249; 685440881; 194246558; 817808644; 436194468; 151679517; 576697973; 872865560; 100695234; 1059153346; 958021925; 774071472; 607080409; 1022328864; 898997270; 773713061; 403566548; 563338955; 202429330; 642175292; 464904638; 777369289; 787910456; 4854468; 877864062; 224479489; 860065795; 548378363; 51088049; 1031716639; 501221202; 466864006; 1046155891; 466592976; 78008214; 472826159; 572130446; 653933970; 735969158; 958299571; 526277639; 473534889; 514363886; 395206557; 183911324; 960222712; 938259077; 1063129765; 420707698; 504700475; 746394494; 883913806; 446000419; 577894695; 555143256; 702375032; 597409643; 249450835; 387420916; 940759818; 607458357; 915142560; 815737107; 232169569; 733734012; 476909732; 1063653795; 465956711; 607534032; 389590640; 47500706; 839768387; 946007554; 871170835; 658167118; 115583539; 645890518; 499527991; 266398350; 935186411; 881562346; 318475009; 3605132; 79581573; 503675765; 310887030; 24156955; 1024963719; 11724040; 25047607; 1008668898; 857233151; 954417450; 702813451; 496037003; 495811693; 833935864; 649627937; 965155909; 588631272; 758501007; 124755280; 778323668; 139380570; 968217998; 1064048843; 355412502; 374710505; 994561796; 1060427761; 967271805; 656393607; 758984719; 521106130; 1042593182; 888277418; 955288374; 1022241201; 766620967; 1050376503; 263834886; 596126046; 1054936589; 951497239; 1021016229; 657075156; 327146222; 857233053; 1014321402; 836878517; 858329112; 410261453; 724610304; 372710693; 522000193; 535961983; 533490800; 36889978; 1066552231; 860777861; 132923190; 818164681; 431678626; 272348365; 112456685; 191117933; 661560582; 505815825; 290537044; 152977282; 1000809012; 52365494; 696440214; 263433914; 257138125; 1031926841; 878127976; 477615589; 312984500; 873247796; 326857396; 815682531; 612450569; 757503137; 963529871; 651872922; 718604269; 50073778; 443214267; 833932948; 909209440; 803709025; 963379950; 442945706; 587833171; 959664112; 161433896; 260180989; 743631291; 707034840; 748966191; 911594303; 1059991561; 712093672; 1012164; 388387707; 604175310; 359082166; 743588936; 817589893; 218115072; 526414831; 360867932; 201546484; 554530255; 133051014; 375033967; 1032204014; 126618774; 516350024; 1017378384; 565778448; 559179272; 220845034; 171970214; 610679982; 1019587306; 785882584; 383593917; 463180378; 828072858; 454005437; 224808823; 960512423; 1042622826; 235658936; 696970334; 590260945; 691730452; 1052309586; 426287240; 125528296; 865773452; 37944604; 218370031; 13386792; 240257523; 44595459; 116586810; 335297515; 990490596; 414606641; 310199041; 190453971; 283268170; 493519684; 111565897; 395867601; 406040333; 132428540; 754907837; 264774722; 284443815; 745753889; 98795123; 871408070; 191748479; 230796839; 406276383; 75124874; 1024364390; 940549034; 932513134; 987917895; 697001249; 1005443320; 861077726; 199337090; 250780538; 817150268; 524103049; 780861147; 326662733; 169309319; 425328742; 151284449; 1056479384; 826197268; 401648371; 505538603; 130424605; 175117828; 246470526; 131875422; 877076894; 687180103; 450639061; 529786377; 98992779; 878445753; 572883354; 640024927; 576955950; 956162555; 587926; 204690887; 1043213844; 428542734; 211231849; 874738064; 294577947; 2057985; 713871136; 130224597; 564063964; 729229570; 492303146; 524239692; 873027159; 225283412; 755897222; 468929022; 316223541; 351310767; 160709397; 993342152; 384532927; 449074228; 155421016; 758482227; 901713828; 234482861; 266454050; 300954031; 265044803; 744927290; 776336351; 421224194; 66005207; 485387516; 404973286; 677424510; 636814100; 790578148; 711553042; 24156028; 920017681; 394565345; 510246468; 633458243; 907732886; 567699732; 955685571; 1055402682; 328595038; 37549436; 567475838; 569181258; 432730802; 116643920; 338785226; 576079555; 784575913; 255613406; 868215622; 1001118607; 531783959; 963660183; 882539926; 610389599; 777777129; 674220690; 1039994506; 404859221; 65676744; 506308195; 775327279; 319666002; 445709465; 282922157; 413868103; 834852327; 56836410; 881229980; 563034687; 718864738; 269573958; 610462902; 364643176; 706806085; 197030960; 107022807; 301751220; 213935616; 1042677654; 713219007; 956228177; 1044725292; 822151225; 1976772; 13009308; 163824925; 368605510; 747475898; 444602474; 345017853; 542994922; 51830647; 1050501938; 943151703; 44236435; 935256930; 114507541; 238151032; 517269308; 616517134; 587870739; 97586995; 254078796; 646076410; 629578992; 846416649; 880856363; 896092991; 307446326; 1046640231; 337873424; 350502235; 72648497; 629103204; 458074860; 300000566; 772554888; 123992506; 179193902; 884997751; 885842902; 1048197048; 713611731; 949090612; 556673490; 116030337; 935108832; 110864014; 594570738; 919510887; 114876033; 267493030; 90843791; 472042684; 584770765; 349332190; 752095705; 666887943; 913770975; 630498631; 965533592; 995416273; 1052065942; 842394772; 43492879; 1051044852; 977106159; 353920614; 134667357; 427098296; 660684855; 429859414; 316267331; 205926561; 74899284; 534211147; 744710607; 785958232; 305333060; 119152557; 49390097; 329980339; 824044297; 719247514; 685613190; 761930067; 739930376; 781417868; 716628520; 561076673; 1066456785; 607193501; 196859966; 499522069; 24757792; 1051710011; 835932709; 944601373; 939224491; 737716293; 10739509; 1012221541; 1014734242; 227931912; 987779080; 870368171; 614581424; 781145517; 211737279; 446458286; 482903247; 350729524; 932642658; 742193864; 198695609; 980471822; 697286215; 383023978; 503829365; 989308521; 918025318; 1030420975; 57344450; 207471344; 1023489585; 947099981; 1031165268; 430112271; 318612645; 672660409; 596760080; 274158853; 986311143; 37803067; 456098320; 243835379; 75746464; 743009097; 625089751; 235990944; 28116832; 33275943; 884724041; 805546290; 689717664; 1068785693; 998983645; 928724534; 187434539; 522849901; 968032756; 647746822; 579473480; 52842144; 501084335; 559736589; 246485739; 421235794; 1045852410; 976702696; 613199034; 884029496; 357891282; 697862375; 934022197; 567400199; 825311730; 90699405; 708588315; 840894140; 477890092; 110616265; 641019936; 164275662; 876414987; 538178738; 125696331; 187466990; 149750452; 398441097; 16647931; 591488096; 330354950; 214194737; 330191721; 754130659; 170012954; 505471055; 355791438; 837644335; 140990557; 482788430; 29111766; 187105747; 797239363; 338398569; 527989052; 852414784; 485117793; 176547755; 874235618; 733270670; 655876878; 382307753; 1038296703; 545939241; 991086430; 709901733; 219841452; 549403838; 757538450; 947255737; 477745495; 94359254; 1062285065; 557320564; 499898748; 891747444; 421128477; 322454942; 350807933; 286283389; 840646377; 525225947; 1041774595; 82681729; 746741500; 260045970; 517864806; 579758323; 810952761; 487612821; 1011737275; 773675204; 424431091; 153668643; 300060228; 908414358; 37021960; 923869581; 396954055; 367333847; 90952563; 923106871; 197245298; 530189579; 469829273; 353463984; 98794274; 144118158; 539699181; 449269817; 291099218; 796614089; 871169496; 924858651; 205476217; 796624729; 981442297; 160036580; 901227499; 273413352; 179020019; 930861746; 87954081; 39861066; 96033707; 300361071; 496032404; 138792834; 675120125; 536903262; 194657976; 672401787; 292639805; 157321677; 787699955; 905403322; 950052036; 675590649; 256224258; 626776367; 438431302; 479786745; 142858851; 96546036; 777118775; 730698372; 331707592; 1038337000; 280493118; 575575820; 935732756; 845078861; 839738083; 1044401718; 941692208; 445918754; 906660676; 441365910; 677081517; 466033794; 1008549334; 602848949; 501730786; 610409701; 724895038; 277888164; 292030864; 124251413; 559094038; 484840065; 258453651; 820574420; 1057496271; 755990293; 923881939; 368610783; 394754528; 417042023; 348723616; 736706259; 605167146; 496540163; 366221735; 9069359; 376188829; 1022460416; 881761492; 846848313; 912400256; 514938479; 899664360; 767313828; 836636523; 795560841; 344620322; 273649843; 705136009; 58543666; 118652649; 188780927; 764865319; 209357266; 419673743; 1047498845; 1032253195; 863555899; 305503342; 290571729; 109690356; 326005827; 746782683; 493778351; 726503821; 564337891; 166424558; 351102208; 288490367; 593826343; 735853505; 621126934; 950778362; 521796742; 89338121; 954643697; 346385731; 184010851; 79355598; 554905415; 943415477; 62056275; 191175968; 39004730; 343068656; 587403464; 297011502; 1014266929; 448006528; 1022873293; 821412218; 189831258; 908661056; 938149636; 72954468; 310339299; 890391068; 926805037; 2385192; 596180076; 839606485; 711628475; 1071191381; 192468527; 299560442; 411344423; 827450598; 954489362; 987546979; 646413620; 262611540; 848019698; 912643368; 691429582; 309040196; 980119351; 561697267; 894509178; 904908708; 496194737; 770884387; 753985653; 1030500642; 9751087; 767756384; 870491280; 369642662; 501875346; 572364344; 148441775; 889982193; 320602645; 775256800; 67889716; 81059389; 126133047; 114979484; 203548458; 492416999; 209666040; 363315976; 272818991; 267269415; 4299442; 746409446; 141114652; 934456553; 785267337; 940671113; 844796176; 841348264; 429173132; 69938567; 647803914; 113231350; 221843697; 409814476; 1040328365; 612361695; 695244122; 559133670; 290788505; 19251930; 627136276; 63556820; 406108684; 1016384576; 341476297; 37803586; 23082310; 386425172; 910032412; 465746994; 690395688; 17617569; 128407677; 247023659; 295742880; 14960064; 94788107; 1006792957; 1041503086; 16832533; 711966053; 91112297; 783441757; 283187497; 1019561789; 480423784; 484512229; 75819369; 542553845; 674732009; 811280898; 926532582; 528381130; 89538980; 418978913; 411063819; 954193474; 921235388; 505650098; 932629044; 159751115; 1070111743; 443629165; 558594638; 194396701; 260662498; 153801497; 781711946; 984034862; 247615015; 21476048; 875538290; 167915870; 100110091; 228728646; 782814200; 813518024; 927832725; 954513792; 135258711; 182673404; 452928411; 154187865; 691313648; 892443241; 911076916; 1007222500; 575754202; 419260615; 583454402; 1017928728; 812465535; 244290182; 451112807; 855125276; 684926999; 354834501; 421589909; 735259129; 356333943; 617509675; 595536907; 904594662; 921133694; 1031067589; 56828998; 681043649; 715887879; 736693700; 262906305; 649874149; 512466993; 68095433; 733721739; 976239313; 572530142; 361729933; 710666848; 934060609; 559077491; 790849609; 25349084; 138427431; 439670165; 921542447; 385613771; 827608452; 1019217565; 737667210; 596461329; 687191699; 707694031; 788092880; 552832984; 791991517; 454846405; 939991695; 683311543; 761460605; 174288361; 288079635; 803293250; 1062259831; 17373793; 147790129; 834600167; 60716013; 656380662; 134252506; 965346461; 74017089; 486761197; 935664824; 780940890; 842877977; 342194359; 550298033; 1052975832; 988906708; 702227431; 369865690; 213644265; 171329504; 491938758; 812038373; 11576746; 690226803; 943903415; 296975737; 16607048; 505402074; 218266691; 58414327; 975424291; 1063767400; 31500479; 277332007; 795551381; 45842817; 485575347; 769207035; 541184175; 722259537; 166198486; 219533849; 471788376; 591172041; 673924229; 748192821; 233287866; 447224796; 654531561; 985356688; 254881718; 145839140; 965548647; 208077274; 898202631; 449839251; 446745890; 483275944; 265766617; 652720081; 344018906; 11398465; 657261807; 231667940; 232174217; 723704533; 306350891; 866235367; 999701335; 311138042; 1058295569; 429828524; 317157304; 990417220; 1072295797; 1072755790; 893929980; 189272840; 82567108; 899386452; 128735430; 738991449; 378390305; 211790880; 1028737936; 821539327; 813314867; 172416353; 86329468; 883011520; 1049442948; 46955228; 27585879; 636115294; 487520789; 233729141; 341532976; 1027822658; 450843634; 416663697; 502658535; 675035031; 137237357; 1069083877; 677726779; 341140164; 745408758; 976616713; 763962843; 720725938; 183918151; 956409980; 768889651; 550062120; 112164946; 252374196; 121508172; 922949317; 235335067; 913975656; 754907129; 712111424; 739157000; 791931850; 451355506; 406608171; 859445311; 1011567881; 205292312; 8302777; 366109838; 836522103; 624953054; 741821447; 729110432; 941629837; 593130072; 148288304; 648867633; 705009702; 827394605; 1019790232; 737863820; 1014309535; 816458456; 893494749; 27999509; 890432478; 350973651; 107158304; 965923138; 111443974; 666779068; 417487774; 933869977; 706233169; 731182287; 561866635; 727829048; 870800972; 594721981; 587251948; 119552578; 409688143; 884591083; 105250153; 151603020; 86405930; 655193817; 319605191; 522430432; 276992270; 197755059; 511662614; 944748221; 153739070; 115217306; 341431409; 1002736769; 169337134; 694879049; 329828451; 156668457; 1072884344; 541276890; 20072862; 968976810; 386935017; 242899340; 130453751; 957884825; 845515181; 120080763; 811309945; 693054333; 702566010; 13720435; 993456277; 697055543; 447703127; 154745438; 591787026; 15160424; 189919701; 392053489; 758702899; 925646898; 757164363; 227311723; 459611330; 932344365; 846488167; 501823102; 288261576; 449572078; 950989660; 831718007; 624098387; 754199826; 3460695; 115928742; 305505736; 462716354; 758584215; 308421954; 349456396; 53802307; 480760825; 309224457; 908642219; 762793953; 195093346; 457519384; 696927898; 926384292; 812733246; 738858861; 1051550590; 276580731; 496722277; 300756593; 539337655; 361408887; 30898775; 780564420; 29547430; 91813542; 348366415; 686354715; 521411739; 84925082; 860665322; 545842008; 202313059; 415489833; 454663444; 87798350; 812497543; 849007746; 120790903; 46559800; 9000885; 207067232; 901067590; 707736471; 969663847; 1030257333; 623073765; 201137782; 176570988; 105772029; 408523437; 383751770; 428790289; 505193531; 19261269; 668589506; 976351921; 655865662; 542062994; 850596120; 551907838; 224984420; 857661425; 595953491; 152753312; 654430924; 887024450; 326998411; 877586921; 629559235; 850574371; 539250817; 1048460612; 788245849; 153593697; 604240953; 291792578; 558589108; 599973985; 830917787; 436646294; 114493405; 45813896; 1049910133; 987020436; 1052403061; 352863469; 333180753; 898062529; 465141101; 182793280; 328770938; 966376703; 557075970; 181258866; 639112823; 464921195; 3082736; 683474658; 835063229; 643836575; 33699277; 340074548; 991091557; 182630499; 69962224; 105335745; 15905558; 757255637; 519921726; 994233402; 789636581; 619407384; 646792374; 1037821290; 404156123; 738090789; 96077485; 697550467; 690654843; 936543704; 970461090; 479517250; 897188299; 855206809; 708124244; 905862273; 199378652; 920951587; 29077656; 882277215; 236321034; 460680704; 613942788; 426993624; 383609775; 58346297; 654163735; 865117069; 834341035; 1011910207; 759749065; 34695252; 260248348; 241961322; 933427819; 1034586858; 522472191; 392499344; 346729295; 286768576; 284556959; 467335612; 872609451; 962997467; 191763432; 1053090823; 1013284302; 852742386; 821749685; 197137819; 1021546463; 623215208; 244213195; 782565092; 706254425; 167464290; 307663004; 121494005; 497325848; 432301214; 316272779; 836884323; 636204518; 315383368; 483452563; 845471326; 619505642; 248128264; 70495256; 39502682; 716400226; 295791561; 846964477; 797306088; 366423644; 339884189; 1018749635; 662696807; 653722482; 795945112; 269195587; 402811101; 454544332; 892958868; 729467551; 541825325; 185807834; 919106599; 894034785; 86031971; 52097387; 162701192; 153619046; 1046182183; 260187234; 939033044; 964748590; 981103880; 4077773; 235372753; 780689300; 1020664859; 278726351; 35892045; 617926509; 540314713; 423929585; 392407998; 752283804; 553112929; 712765277; 42497720; 319606042; 519356799; 960287963; 859615854; 684214743; 815312709; 531677988; 604543675; 94072663; 272270017; 426063028; 362958473; 800021836; 888393456; 105753715; 1054336839; 277182935; 400411597; 963216442; 119627135; 740303245; 459605039; 672274097; 1022606923; 39986745; 281204344; 540732359; 786807593; 924576310; 987336166; 686284193; 337117033; 471975659; 354957832; 596300611; 309243151; 348808861; 68361556; 241093096; 534970993; 1023020042; 929146955; 213905547; 114475440; 1053144002; 445650322; 702618003; 1002905920; 697268549; 924052499; 438512768; 14317499; 322301051; 501431544; 533686918; 297073963; 114640385; 1062147730; 845910215; 217336038; 729153595; 422364633; 195487148; 778608260; 434821053; 1026760672; 334276113; 486694757; 91708342; 677724005; 553140084; 673478056; 1052708641; 520572207; 957887986; 492875037; 706662667; 710444260; 98525732; 767595296; 972646908; 222818896; 466135336; 930284870; 113006695; 918665925; 273651663; 826337648; 935251117; 458186711; 441715549; 451090566; 112159195; 595729830; 805881159; 117963491; 975860888; 765860968; 677806981; 872743070; 824522963; 136940826; 521551475; 754358276; 627423681; 405929209; 155538550; 866673945; 414204224; 264448290; 704264841; 605267208; 601184354; 533345845; 947652981; 851827811; 550644094; 865068729; 19090840; 965644041; 342934320; 735343063; 341272028; 1048508323; 131548904; 215879498; 441171450; 1036326545; 238025312; 778390698; 266216230; 1059404161; 1023343648; 223493710; 421582501; 264686558; 585660805; 337319723; 722198349; 76636874; 548790887; 701705402; 1073672495; 790815857; 940802443; 369086418; 734668829; 1053270725; 617176902; 647794911; 301298165; 449867353; 992869883; 507872498; 789286001; 808888454; 642275676; 821209267; 780894248; 783978103; 74836754; 641295111; 916190546; 956514146; 30005012; 563959453; 421854205; 857778999; 704320595; 1058647888; 788659965; 640072969; 151941149; 34569276; 153832098; 660205311; 611148960; 375819434; 213768520; 799200062; 574770179; 331364910; 269576162; 666497145; 1042261623; 309863849; 74106319; 376815467; 909206026; 18931894; 854990586; 620318290; 258488651; 639598412; 897835463; 626668270; 981726604; 802885197; 1025999243; 992206533; 699080654; 671238268; 319151973; 575019865; 289015116; 284145868; 12810597; 674914831; 713060651; 378869823; 571968750; 705475504; 888290919; 88455000; 176331967; 96346798; 69988025; 572441139; 108782288; 1016265491; 447996320; 48881789; 263239838; 828759469; 835352730; 379973072; 247879230; 816063952; 339714743; 38623354; 512617732; 966691472; 220700422; 156982002; 601451038; 143260658; 851323324; 357361271; 672197113; 468780400; 1007111075; 17418867; 937320683; 325130178; 933643624; 919269207; 1018216662; 828589171; 674990177; 57866926; 815277692; 136335277; 806382867; 336695789; 873235213; 657432257; 953216650; 590340385; 897647972; 258969842; 1678751; 1042087786; 444725886; 677951891; 386423047; 1029802304; 941042691; 895631771; 199490608; 954315415; 153597759; 290824279; 583955525; 659507026; 975554208; 458467318; 4495255; 512820664; 735342590; 164938103; 370480753; 647486133; 779367929; 881825047; 1031390408; 720454374; 863981787; 392674358; 942334307; 139782043; 33709450; 303404861; 867131518; 413366803; 546865147; 88910635; 758861428; 49894643; 438064300; 34787890; 24169526; 371771632; 67231252; 645443991; 352733267; 944372080; 912848443; 729116165; 1025977703; 270712778; 74923754; 963483273; 774999156; 627542482; 903336619; 716136576; 856684312; 770812161; 801319890; 775579910; 907961021; 79180677; 441215559; 670613554; 840545426; 121881180; 753968792; 208980584; 72636647; 302357202; 580412959; 355688547; 489051774; 519256672; 628930646; 897733575; 488598835; 1015330748; 343112876; 580757253; 1020078870; 510900748; 649263718; 55608780; 822902957; 640229021; 616280628; 922189452; 585608230; 945483627; 618255306; 549019196; 331067251; 578744846; 371616822; 1067890944; 865440960; 656930596; 738916704; 453091720; 872045650; 720159682; 865812844; 565981067; 970968412; 631773224; 689588485; 235139258; 1058713765; 209583418; 986551266; 878990356; 740655330; 900762424; 212911275; 859708993; 327658798; 240306048; 70530679; 451055454; 742468433; 672282139; 608409488; 535506877; 236238276; 924650178; 592456105; 996932238; 85262597; 457912826; 664198850; 111583268; 239878833; 1064643343; 5357172; 1063488536; 954264014; 1031551977; 741818656; 622440129; 5594480; 949563119; 955371679; 345212417; 534163656; 544941928; 270604256; 325901339; 1062663700; 686623475; 75515251; 601917264; 938914063; 131147410; 944286617; 459699953; 759442677; 870668584; 954532938; 294866635; 255371854; 154685577; 213287678; 750303337; 819514485; 147847955; 763040973; 391823404; 976918198; 1062335396; 420055483; 63983300; 106956385; 140130404; 60894043; 212285333; 138510570; 970360059; 1008565604; 600741772; 471157501; 889752783; 790969591; 660821296; 486664689; 175624525; 623900231; 974620076; 136271498; 473214644; 147755211; 979716636; 530099743; 1008901574; 643130119; 221112375; 306762861; 211359933; 951073246; 31434592; 868232792; 791690546; 229377214; 211543635; 299840179; 282613600; 98696349; 291320876; 75399200; 49953286; 889811311; 792068556; 201963344; 546716685; 754104325; 10499260; 1028251169; 818310543; 482566328; 826732353; 55756360; 262971612; 391292219; 922295848; 313481011; 74445232; 174596461; 783928804; 655125343; 479432405; 23649364; 366925478; 116672164; 805746083; 216046931; 801983136; 795785449; 745539806; 710758113; 566612086; 145883507; 391589910; 582388148; 527278924; 274673938; 917945505; 313558859; 522408368; 133003719; 666508539; 959240571; 825706906; 566383108; 1002902778; 551923278; 180629944; 207994089; 241151209; 580115606; 479030379; 113642817; 623966321; 375060749; 116628046; 911649637; 877388828; 695991240; 542979881; 417079536; 303357693; 158032164; 3986860; 120096881; 333820141; 595558901; 1048919788; 788384858; 1039377708; 841705432; 142864190; 328847815; 840007238; 1035969765; 428268755; 367360885; 482493226; 481884257; 107733928; 409218641; 99464883; 830883207; 170908856; 562166607; 260147488; 819401837; 723875266; 411345408; 48540384; 586386592; 974099158; 114128259; 478812307; 1064158957; 775161925; 635297698; 365592138; 917573890; 425812345; 267130507; 554160340; 573457360; 555157358; 550977123; 289012601; 205043888; 285871781; 236472161; 238671146; 617023211; 547293790; 427354409; 407937597; 164434765; 755958369; 1003120683; 526868965; 58442506; 987599134; 359209633; 264200835; 1054690261; 1054042081; 211180938; 246019800; 182151158; 56863383; 573836786; 136543609; 1003771257; 334031399; 390364903; 1057314316; 870688798; 246544358; 72163617; 1032683050; 1018593946; 152568934; 142961979; 307429852; 985231758; 819867986; 391068835; 190769591; 255379245; 1070893949; 1052683780; 221264024; 595076179; 499041790; 890954208; 251941253; 212432229; 796458105; 813450265; 934746999; 528063779; 326296145; 686572493; 479220009; 155122010; 318050523; 103191657; 220630169; 14688737; 17353005; 783138656; 376618464; 973778198; 554475192; 95652576; 409405885; 449586489; 1000735669; 675105742; 398189479; 22608683; 846305481; 83800016; 596486986; 540920138; 269268464; 378013479; 815397645; 210578909; 309366133; 542648223; 341989137; 81417065; 76585154; 681298624; 906911436; 779551564; 137441224; 627551316; 703145042; 108956898; 169333516; 895686523; 74677981; 421177467; 1069493103; 198968884; 248943418; 1867154; 1041014420; 82504213; 93046289; 148776133; 29627899; 759328070; 165701848; 673276183; 209580297; 1063067905; 214944827; 507717251; 741834083; 743854655; 590803851; 595068074; 817023726; 585644644; 321250207; 895419879; 677728677; 352934631; 639276802; 940420547; 228872888; 995249063; 192576074; 40873374; 909633291; 567793420; 443235994; 282396712; 24820141; 687630674; 807460215; 595127367; 347788776; 546201784; 139608552; 785527712; 672333132; 323651406; 317050398; 572148527; 939662137; 214963406; 573854808; 642779392; 586690742; 556521480; 151123102; 772590557; 550094745; 513093890; 146382183; 1062100302; 1300507; 732643551; 395596653; 298571932; 77184759; 740326040; 591283566; 39867156; 615443635; 631083806; 662360558; 129528838; 197351379; 574773396; 768515832; 527155540; 932226994; 959739853; 827113080; 412844341; 464861041; 109478108; 942542491; 774291627; 677522652; 813377756; 695835903; 1067339616; 1055785741; 154075176; 194970455; 758469677; 928296492; 818598211; 149886782; 363145334; 621611487; 575616997; 426322940; 361360670; 986968477; 907017471; 363357976; 1042758708; 834963995; 578677827; 988817177; 566987307; 206058641; 73673362; 532342503; 683399484; 256347573; 167282374; 986697191; 718589210; 693877158; 465244755; 311443515; 641106639; 808812827; 734165581; 506506213; 293215429; 236826653; 1041598107; 696558431; 590960931; 431881286; 1021823367; 372324096; 640463114; 1035588147; 361749150; 203232499; 483933806; 72921678; 826993444; 533626909; 393119091; 184281836; 459951870; 815300559; 201298006; 246926117; 937344717; 176308279; 264815515; 124026081; 424872070; 512668005; 244575505; 411656753; 570059857; 697503138; 44491580; 175356119; 1016211416; 445907108; 1065248598; 94272987; 252570074; 886451432; 1068228471; 220004751; 675133359; 782999205; 38618906; 12406196; 890695349; 683951677; 673155787; 834535720; 256785341; 204855198; 74159533; 223079395; 730570325; 960548265; 831939485; 970084872; 1026222635; 683108133; 90961280; 769339710; 28039315; 205032396; 885960478; 109847599; 490308150; 776730076; 337132633; 181649962; 975513171; 506724516; 242703741; 489463782; 219008181; 5434811; 1063309246; 889269126; 392816150; 91007716; 493322800; 702340257; 126779998; 650502402; 452914367; 294379445; 301316290; 549742649; 388231161; 152363799; 457996519; 170516831; 54504584; 555514425; 275716996; 278183568; 643603724; 408076622; 799253725; 332096558; 694698006; 79353923; 1070656535; 374287761; 511287578; 231202266; 668238642; 802012608; 611750251; 422390988; 143791283; 61371686; 629229183; 92212739; 772753201; 757847403; 774377217; 44189303; 683183093; 946944472; 750835557; 229967327; 95098207; 59742444; 168337123; 845363604; 790090378; 367622276; 240510763; 84334370; 927309375; 720724174; 921238910; 366734832; 53806804; 510564416; 17109057; 1005980623; 516716635; 808182855; 46097473; 454024345; 766343976; 785823398; 863186606; 19735019; 730179411; 367503583; 475024637; 445717397; 984553527; 294148587; 235414701; 742028374; 932064617; 941570375; 1027403801; 403801018; 26658531; 951151197; 617553299; 480452108; 676527241; 449545576; 726112771; 241480327; 977388755; 1044357846; 120044811; 512733746; 68055539; 245146536; 857116926; 303542936; 152154103; 483008546; 598088065; 493397522; 73377191; 49011809; 145041697; 579336418; 547158795; 945133605; 17779715; 174101845; 337363754; 482089717; 1033921847; 1038013829; 329662220; 355552163; 888728506; 333095944; 139283916; 370789711; 119790489; 61697170; 263718006; 498725444; 110350961; 279714658; 503210677; 810654836; 256826490; 1008795641; 451486012; 394824265; 478227072; 562393758; 640508087; 615057343; 185814271; 970131581; 226652003; 88356501; 477036869; 1009245394; 796219633; 274998533; 782618714; 318949378; 317385311; 817980635; 358311822; 717088605; 601601578; 334845695; 231337461; 431046545; 1006117237; 567716070; 71695121; 945195812; 577247191; 202713174; 930130586; 1060583688; 874132828; 606532902; 193808359; 910694684; 441877709; 226649016; 832436510; 725741717; 819310071; 917961445; 393282772; 111578731; 967045240; 689050446; 758413173; 1068151661; 494314997; 113605164; 1066809704; 621459199; 136895753; 906267100; 899839180; 435605599; 1014015110; 1030214086; 589736932; 852793021; 212713782; 360657892; 936877124; 859869200; 369190012; 397452249; 151662743; 696747900; 133049547; 967120385; 85249327; 980903478; 868201401; 338044783; 955180493; 541709429; 46049250; 1008803644; 992446205; 205586449; 797508031; 829795861; 223047830; 102052342; 376092080; 1033518826; 724990064; 310623202; 279566891; 209538746; 855770732; 315318405; 4217970; 205712943; 302005083; 780568511; 361631143; 679959317; 567915021; 631000907; 548153957; 760998956; 139286643; 616331118; 143366446; 80606860; 569892916; 475428096; 989983864; 877010548; 997810790; 85003936; 903169483; 822919463; 665644576; 801717826; 853826708; 315280048; 3977643; 806970371; 780886500; 659980038; 302460962; 10410023; 563031806; 743985029; 736799022; 1053148897; 92591848; 751050687; 295193126; 560454215; 159411581; 280132470; 1070623618; 522037736; 34089791; 804394049; 285588270; 824373157; 247457391; 857213103; 822320482; 309047004; 982872833; 845788927; 902876427; 745815657; 831215352; 725002143; 485790019; 417729982; 679286732; 525651047; 786549370; 357960877; 911375239; 874597064; 437935839; 276075254; 574624040; 1062365641; 866006251; 702434202; 968165806; 426357845; 258384471; 477632083; 30555161; 995891078; 37588438; 128232936; 508358357; 437684047; 713392164; 752387352; 717724641; 67984610; 500186922; 569117471; 498554684; 1052521387; 849032938; 959197026; 221293931; 1001232157; 239235783; 247778012; 843835118; 577181400; 556937483; 555876578; 566024036; 280570288; 495255892; 799318088; 187653400; 1061723441; 99293012; 756702390; 443746656; 472412224; 689916207; 758524510; 815785688; 409089086; 149314394; 288700430; 102426675; 398000283; 298590831; 203224257; 141751207; 611877973; 334896675; 87414595; 672996905; 770329472; 209674697; 44804024; 885808403; 3314307; 112656858; 156503877; 797286062; 91490308; 903067117; 308765750; 606326399; 770411998; 147649480; 387099244; 945764570; 21723349; 705232419; 391948361; 425757664; 797891477; 719140053; 373929933; 881947529; 289999174; 917596558; 705086983; 792391134; 261383881; 747606089; 366397852; 624762020; 324048434; 489661382; 211962429; 210952547; 692381452; 615267304; 534119968; 48436536; 923236647; 95697674; 46047912; 966243350; 928131876; 966906833; 348232905; 833323886; 68684025; 234348684; 447111552; 1045947777; 574343554; 605098383; 651552024; 346746859; 497334015; 310549093; 174962297; 548175202; 852127960; 755039218; 75303271; 789473885; 584929592; 460099634; 666879878; 654335939; 583788526; 241674598; 490075265; 347181481; 146226851; 330586898; 798979846; 524004434; 313712227; 389311042; 35314960; 901302625; 467102467; 1066030327; 866017334; 612513480; 80022832; 401622559; 779821962; 56055612; 862431254; 762743874; 933694134; 428841545; 201916625; 398088432; 793947313; 449888279; 594375378; 694337513; 214265321; 335840536; 703479368; 169587273; 343020653; 758557549; 44111270; 758083994; 609012445; 299249917; 506459316; 72563918; 130892928; 500014164; 915724563; 756465548; 6232091; 431036898; 468569107; 208512336; 266557692; 264192594; 738057056; 737949669; 890803440; 336043468; 451837374; 248384875; 599326874; 1021086402; 131447258; 335928683; 940597431; 992478710; 1042415213; 351799337; 584767122; 881322632; 436521292; 428578113; 280400486; 1061010119; 62985850; 898805900; 894302250; 273873389; 47260647; 575137183; 391811230; 48334945; 925336716; 896623045; 251779562; 105266635; 904905554; 782731209; 1052565587; 923160713; 665609963; 1002440998; 968250297; 678277679; 1059092169; 1052778923; 284136167; 27787584; 546706477; 32472895; 813337592; 131681996; 287519872; 589926897; 873277396; 1039527717; 983590196; 692206235; 942607736; 508533879; 961091845; 872213789; 1004911994; 499877805; 813391725; 410117947; 926386967; 393716637; 839028021; 1073295166; 169193386; 11869657; 30262027; 854025732; 992734327; 1053607671; 78958790; 364555191; 282392913; 142646076; 618001658; 449294956; 156978104; 696657289; 1031497366; 487024762; 999496982; 430273341; 398645847; 518312827; 482809058; 518220118; 760570806; 117534753; 690503310; 27743253; 890284752; 628848924; 2535436; 71178040; 79751843; 625630931; 790290688; 808742525; 531107974; 603183583; 663089869; 565712695; 918673566; 671128787; 350364693; 950662186; 736374958; 273824262; 913342263; 286365669; 4233573; 367680685; 424440383; 766973414; 608669491; 78152379; 131622215; 258090397; 254901537; 248913650; 722494757; 1056617748; 531005051; 604586456; 949818536; 816032445; 992676502; 514297579; 54208098; 922703953; 509060232; 1053545085; 1023791159; 271795472; 500534035; 940071887; 71615594; 314769865; 316674699; 1071404452; 837185817; 262145927; 477380455; 425984595; 742500228; 1018085351; 91068178; 252601926; 641584477; 763515738; 67422185; 323633246; 453365909; 244721101; 586619198; 359445345; 135042730; 33605766; 862191242; 122576899; 431517178; 148977293; 951657588; 783723648; 320985501; 484784081; 576848932; 1028946836; 648683579; 800607731; 828027797; 547343257; 334817528; 529335918; 997840478; 14060003; 858522183; 215643034; 647329991; 916299024; 677327547; 356471289; 652907230; 267561025; 300155267; 762661879; 336705816; 142110987; 215492571; 441484313; 4854595; 16336990; 818634184; 777744385; 511051220; 323384063; 65918983; 845586397; 922810355; 601278737; 775175124; 419179761; 25119347; 29823470; 956245903; 244241886; 609810321; 19853429; 925876244; 299726656; 535518990; 226967578; 849608207; 13167565; 544099046; 955427085; 776709073; 700179921; 998061381; 448768535; 621328186; 197705012; 202585862; 4990304; 423680798; 857379714; 624049417; 955211701; 547020095; 1018250719; 56572151; 414629342; 46756576; 740226524; 734779086; 178887385; 27888351; 33786485; 536961362; 352228637; 608064342; 537500376; 347867829; 962200785; 625311400; 852081454; 372658198; 194048061; 369071318; 176703664; 1028068771; 966921297; 929273489; 276391541; 115812005; 906674577; 884967777; 763619497; 188221606; 681799561; 631435672; 608167166; 327924860; 10602912; 759684869; 12238173; 830401083; 315775314; 998469962; 889079092; 301840668; 900283840; 745678398; 981861269; 112207362; 1010454116; 610094647; 934990582; 950651942; 934702990; 673354954; 1071261933; 166566445; 659964848; 726900096; 488408857; 583163965; 862229127; 244194445; 384237507; 612023029; 350412732; 633015615; 516372159; 277534248; 359868265; 538833893; 851111999; 992650115; 275145022; 464136990; 449775374; 389312967; 286268360; 827845110; 854176524; 77513665; 954800925; 60983286; 362811701; 111450985; 481323736; 392058110; 668821369; 666896167; 865438327; 627123502; 370287281; 504915836; 215786134; 608232535; 1014481967; 674675044; 284923190; 291927711; 430781729; 243504987; 749340462; 268538712; 420806351; 847976396; 62389737; 13672985; 601001723; 88060977; 734996415; 347306916; 118904696; 790094754; 431513257; 218456743; 522540165; 370646839; 852338092; 601777523; 718282997; 258891978; 960456767; 41205091; 355330645; 240558598; 433043513; 729060906; 349618514; 126036246; 785509471; 1025011097; 748573052; 650022285; 345236089; 968792650; 759481355; 508505603; 226452155; 526491507; 833879555; 304533188; 622423988; 418535825; 175617842; 375888807; 644051583; 843239424; 911131311; 870294533; 629674845; 801621676; 353028384; 677446846; 926420811; 177038709; 220823041; 592726146; 15102578; 878003365; 377297089; 819545788; 738220843; 349100008; 474032099; 749485897; 131335290; 171411195; 710981021; 1038897535; 274703157; 483362895; 207674414; 958381258; 959386229; 949925795; 308594406; 493213952; 348157448; 443346226; 283119694; 276701908; 794615810; 632188228; 945901591; 859138872; 841491373; 489585363; 44744830; 1027007767; 356950515; 354302680; 368071478; 236342535; 527367180; 433657257; 788266869; 31646170; 35798052; 738561870; 332403388; 390671701; 178511965; 803417546; 395679032; 864821284; 932181714; 499844728; 190167668; 527483637; 471777618; 168309379; 341410029; 783561653; 326317072; 285254229; 800165507; 736031876; 432063744; 206202008; 636601261; 554109335; 534200200; 656500650; 566088491; 237410450; 71239155; 825748742; 41950916; 10932673; 100615179; 752925156; 895905741; 856875794; 435722231; 456448260; 478822063; 1061139812; 903046859; 812573982; 22566577; 56082642; 1061222442; 795002278; 379815768; 409772137; 974245707; 312074919; 51505319; 797957363; 788931933; 544528607; 855182704; 844212806; 933225734; 357104007; 431715102; 295562835; 156390921; 937095741; 927937937; 867031889; 937934788; 78005958; 956237398; 645179707; 534873719; 731214940; 276910428; 870754012; 867784339; 112192441; 964647771; 487088157; 295850241; 710050625; 557604099; 2283248; 307824122; 1000820821; 727657863; 949667778; 286740764; 997029156; 566389728; 844915096; 456468272; 295745050; 220781195; 113353058; 691933275; 1073337387; 374751134; 575632741; 591238911; 1072527449; 609131779; 751139426; 162487682; 41847860; 280244781; 1025340559; 972301018; 254867834; 1042600692; 565745328; 1007734452; 984582492; 1056317801; 907854101; 2195741; 678372710; 1069239642; 86025580; 430659171; 89902732; 699972958; 334890810; 975202856; 490116181; 288169089; 730431549; 272850674; 532663538; 986487713; 76386501; 354479009; 935112583; 466744496; 860485597; 740541149; 133714252; 67465038; 79909224; 57405252; 489145454; 739507216; 161168709; 306276954; 500539805; 502782909; 752855960; 88306607; 692393977; 270689955; 785434351; 44481633; 617240164; 37321892; 892073760; 622308824; 391524836; 388973353; 402531867; 790611991; 740435319; 949866135; 1017361596; 480402896; 537149622; 706139014; 223018522; 392256794; 1059494109; 160224118; 1015408364; 172724716; 993933545; 875156825; 907172868; 292613888; 30373482; 768926245; 702131519; 899765875; 478607116; 891104597; 961870440; 440945032; 119998350; 563040986; 184031651; 692055955; 867299198; 505939840; 306223134; 857206613; 589712653; 191091618; 793554677; 367859831; 991509756; 869314327; 158024632; 142346746; 346025808; 247665146; 736254109; 816577407; 750564437; 383957813; 201215852; 702279556; 412137483; 227598923; 989753285; 176957049; 299859493; 8442546; 119846542; 158437161; 410916979; 142615990; 632029986; 335153799; 886656424; 615060377; 300411515; 797431814; 875146738; 53920544; 497058600; 605074456; 1027955327; 367971190; 526958589; 406997106; 53250202; 186299494; 79563036; 666866979; 1038908051; 752950681; 898483953; 604489886; 577005149; 749433996; 538515063; 714937741; 314654858; 1030298659; 835785260; 102833343; 799301015; 227160094; 886918259; 433752828; 534627119; 516155986; 467886230; 572201073; 967499356; 714920706; 926977211; 427454195; 229962734; 947699055; 43514649; 989899583; 1063910101; 261333780; 135001920; 669793138; 55351446; 953202316; 795469361; 41981494; 114781492; 584576155; 44899214; 891371971; 419948472; 973804364; 372726753; 904464252; 634953245; 750838344; 174482832; 619969704; 17018478; 15524916; 344357975; 657311995; 836332231; 441847530; 204233282; 365131920; 696967321; 321882515; 410826276; 370906329; 634112734; 430284598; 759441499; 1002894743; 921474550; 932390401; 628137105; 488286528; 57295006; 883081960; 850017453; 453203214; 700276996; 344553314; 1014780384; 48123956; 919851230; 559795076; 114823779; 107826110; 956524094; 879346630; 560051118; 376143214; 180185022; 75886860; 998463391; 382962030; 607772565; 431479179; 67906114; 899350895; 938443209; 383327665; 943971076; 160923703; 620563083; 159667593; 665262234; 334206435; 871870118; 530789093; 684971113; 1021664370; 4187370; 662442357; 251018335; 537290704; 1055740867; 479029329; 497152105; 638705198; 218578509; 358441603; 696112362; 552864140; 514036732; 190345720; 183389840; 332012626; 869279528; 229819782; 305448870; 407641084; 886746580; 41461241; 648484046; 806520278; 618655437; 1043148339; 475135530; 72758467; 815461865; 364652469; 585496334; 316394773; 679101805; 606039541; 970746135; 972726799; 917873898; 736023442; 95267090; 899732440; 457766966; 352575001; 830150035; 952818220; 259727116; 328512951; 770396719; 351191483; 1010011394; 832358283; 322993618; 736246092; 370663400; 467594328; 599400902; 131157347; 569020519; 1011365427; 735480889; 909472878; 852649598; 654085216; 137927147; 512221653; 226556851; 878511181; 707412495; 643327556; 916375455; 741533991; 316011257; 473200718; 60346971; 373172053; 296456897; 628656381; 652050883; 122374417; 285790114; 769678093; 1007546131; 265377860; 515538746; 374240625; 61700079; 347377308; 136777073; 27377574; 367622074; 546437650; 728681493; 133888973; 879589253; 2344718; 1071894991; 353464834; 586423483; 863181431; 900105698; 339951851; 731048711; 121566867; 824976899; 480571433; 968980459; 5907202; 67912715; 714585018; 985182015; 492737562; 434167294; 1009119969; 442346873; 912819062; 5092056; 633535932; 498556337; 714914510; 323536630; 222580161; 891279017; 294189531; 397498113; 791090261; 330760470; 332310883; 696618023; 325900669; 592913694; 798435515; 118319454; 5069145; 976863833; 675244866; 280612430; 381376847; 995467178; 979731589; 567121102; 720448586; 159389409; 684325818; 549831925; 540421126; 574748343; 183264757; 571470133; 312834932; 610808823; 1010503112; 532313984; 592246041; 966826903; 512191835; 492425903; 206230501; 902921820; 144996238; 105403356; 330675061; 1038701484; 219460883; 1069501701; 159198410; 220964277; 532522723; 340105441; 628819169; 738607217; 220383391; 672710330; 386965980; 593660980; 245230782; 872509524; 1025630437; 212702647; 1063979163; 689480823; 1002590481; 144073899; 930532146; 647797773; 613467572; 180868478; 387162921; 150330672; 72809606; 195273754; 852253622; 578442865; 351253723; 76670588; 477755926; 863043878; 639820247; 212677862; 283518183; 430149894; 123076303; 646417956; 1034392503; 161165719; 769298919; 471043471; 1045700468; 154597882; 52216889; 688153738; 647414516; 2658154; 975747630; 533034943; 634053833; 1032818313; 138232468; 518622938; 43839303; 268391248; 61060558; 49148652; 678771355; 134854772; 959428907; 338180455; 589163623; 1029032587; 914613711; 475231389; 361304020; 358593688; 260039219; 694856869; 104751315; 812719822; 421278710; 710750745; 304386930; 1015440317; 182056274; 140490806; 675003018; 129476584; 881330825; 1039456206; 307772684; 463451317; 49104851; 168436968; 2974009; 289633921; 246387702; 590507875; 592385949; 204921422; 689668497; 258796503; 363489605; 315725854; 985543223; 977324545; 692065319; 923295791; 1007517602; 843133720; 324102189; 682470830; 710007109; 1068783332; 580373256; 216945111; 592265374; 1039063878; 425766733; 745260012; 773052178; 979455288; 746399023; 70176585; 586130545; 679630359; 1051693151; 632144694; 212417316; 849014267; 882817659; 237855019; 241895693; 891795782; 426607933; 674112091; 450485202; 699378333; 193968378; 953064977; 323320774; 384333596; 645647090; 606811113; 1022254654; 855787885; 767567785; 601531266; 404545184; 582465650; 664952745; 472647015; 972716107; 395019452; 859480897; 673654481; 770054605; 413560497; 1056797463; 458115376; 388240613; 766666853; 1062580100; 776097133; 939195596; 265236855; 718370867; 256164110; 694268247; 23774760; 246810056; 270782803; 328439721; 206026654; 342372152; 817343726; 258092531; 674138793; 799870997; 717679990; 727196506; 531089714; 637255698; 131308806; 1053520712; 882648797; 604985847; 196678740; 726828337; 891467399; 882687761; 612227336; 818189633; 466062321; 431950119; 451260634; 803644333; 137768720; 473897886; 1063551726; 50369973; 413197116; 933027264; 447912274; 609386627; 498366911; 897460499; 987231907; 447336617; 952416439; 752007661; 1058072005; 359010864; 519868215; 991146293; 141511583; 92191387; 37446208; 164892088; 975538754; 824957593; 969939904; 709150850; 685746734; 277944643; 935626805; 740311321; 767429165; 671665850; 824290928; 314898204; 90346338; 293480531; 767472570; 739146030; 891502193; 896129054; 363948634; 707895885; 572582459; 786893296; 744352452; 403742305; 328093909; 1071703801; 589112860; 163105791; 847241881; 929503606; 431400000; 254013897; 222163212; 1036242389; 545597996; 1071132249; 26500339; 885908943; 295661934; 921008943; 202917627; 636224187; 673398930; 705248889; 527001786; 349098587; 1036647624; 745565834; 945357473; 257436468; 847629447; 595137846; 504850338; 1043830578; 396394474; 311963351; 340102326; 434042687; 454328838; 358813413; 390096008; 1037241950; 714673274; 1027418391; 374473934; 351261364; 344319172; 619406455; 1071746902; 531937369; 646123435; 234261300; 466998053; 840508807; 587114745; 236423036; 500253615; 680640513; 1060317095; 553347312; 152058679; 227141608; 877196928; 83747031; 739193343; 101677547; 927423741; 654330310; 846905509; 677163721; 303397197; 418014618; 713192139; 212613921; 688756985; 352952017; 519898907; 473437279; 234875214; 970296560; 455721591; 171831320; 613048878; 1028861022; 646589635; 263058648; 345940927; 218886729; 9840619; 803814276; 217924042; 626053357; 14025579; 121217207; 439392692; 667629540; 296180276; 328485642; 579524820; 127207198; 951342461; 400846985; 251600065; 729668478; 535840394; 913418479; 980655289; 520525302; 718260965; 502196888; 871316460; 614499837; 744467580; 915269771; 367146384; 189074673; 290405305; 854318348; 502990348; 622911465; 24465356; 397961080; 417499149; 200647268; 835944307; 326971488; 666847424; 480847101; 506038118; 561258340; 412881495; 1030376785; 991899142; 559036226; 82858497; 361534861; 120224610; 268691168; 786343545; 880340755; 1038871559; 231119074; 225210397; 1054476979; 224926565; 384157319; 801667645; 16753251; 183108031; 656539396; 665071511; 936576208; 781712886; 690374996; 277218581; 289049138; 470509934; 260948731; 429540077; 149299047; 1000472677; 232504766; 728282596; 314703814; 280006965; 504409681; 51216840; 636060834; 894980898; 127537045; 231971925; 339726863; 999803879; 846408519; 683105764; 1048814224; 27272329; 223089294; 486039128; 589377507; 225595945; 840206922; 906433117; 221311563; 320106248; 1055657702; 650919682; 716918437; 542155942; 408991381; 984991495; 120068065; 796490673; 298981419; 528167982; 116601419; 194956048; 511934017; 141827625; 246686899; 25430644; 247819634; 124599387; 130368842; 625083354; 965317546; 408405365; 673962585; 433391439; 911907513; 558588139; 1017639914; 67171732; 214597509; 588417318; 794662171; 127634498; 297636125; 165405924; 301671245; 774152368; 1040593072; 673725983; 993467663; 33709637; 459024715; 907728640; 30121449; 1027249794; 233338262; 916844336; 233812929; 862675389; 30473149; 262459671; 332610903; 477784989; 1056424515; 450906012; 865395928; 813687676; 43053325; 432958209; 207017165; 667516110; 517108605; 468445374; 1024512250; 809681684; 875619385; 12097133; 427908873; 930887696; 993881273; 26451767; 91575071; 832144214; 123720956; 147136622; 619123427; 994352199; 409649008; 970014971; 305749477; 288209526; 256958474; 981507624; 893255045; 335147079; 741914209; 160445105; 560025858; 991877291; 418679648; 401487345; 558239646; 498775269; 59499513; 997400645; 608314842; 705004605; 688372134; 566418929; 994435900; 535564198; 868676346; 568978578; 407779562; 642334436; 53354102; 1065326468; 1012186370; 416542512; 420211926; 1017679397; 783928618; 93237090; 506295282; 524464756; 533107675; 1009747216; 423387638; 856101861; 254013355; 511968589; 279142651; 185197138; 719104331; 810893519; 779235293; 331582727; 1065015861; 94895156; 1073273812; 1005947848; 909012275; 493333685; 377877271; 37774641; 342944380; 944884159; 317944266; 800706853; 530010838; 300078853; 754859999; 557713644; 697984787; 976740341; 282935629; 956263452; 1060636964; 502923517; 26968290; 818992313; 148854638; 682820970; 663819143; 944402030; 125252770; 929679639; 987661972; 70569543; 690129331; 1048051806; 643181196; 319603802; 217887148; 415251950; 482472544; 360546077; 247172889; 172832964; 823442439; 476132124; 167947984; 877338193; 599962173; 307813319; 164445737; 169314799; 464392185; 1058214863; 195681202; 233723892; 277436205; 90560856; 678727696; 659694439; 311386891; 376648952; 635992695; 352032884; 685210447; 349026851; 1068856492; 825164472; 1020929541; 872779043; 844530392; 574327752; 49108097; 124890858; 446176400; 778301104; 113748895; 346366209; 373887230; 913145033; 416605743; 969648741; 615822401; 1028422377; 590043117; 846934586; 118389442; 327928549; 622048628; 1004258728; 2175517; 525792302; 993788020; 198658310; 839106630; 1036132799; 894762531; 29152587; 1024981336; 808212189; 552497499; 632516766; 562196334; 1050798737; 1037829955; 892674497; 337378669; 757048394; 698722932; 412694574; 573962862; 22825404; 109726042; 866643700; 176898512; 966054694; 925540245; 950345839; 476579599; 763412853; 523265018; 383106125; 373675999; 1061127946; 1028725750; 1063400042; 1055627053; 298732229; 409130196; 201891948; 623373377; 1044849254; 615870904; 1036053219; 1016128802; 650163958; 176335337; 821228601; 121448405; 102191350; 495703755; 803934691; 833361617; 724028497; 200615662; 304575543; 666111753; 282172162; 279145396; 924269293; 928741330; 282472918; 1067401100; 90673277; 525390756; 409659111; 834893116; 700929853; 1054575145; 43235379; 664968277; 846476969; 1030001670; 306483085; 1069841702; 308749411; 197317662; 398113130; 560954421; 338284066; 370782213; 1064730517; 485346084; 588723972; 189787923; 11394084; 869794951; 1047681818; 1023952181; 673910715; 676368347; 893781391; 9337062; 724997575; 264966626; 361470391; 546999020; 791149795; 451590612; 1009152041; 712046982; 537273957; 486654163; 989747983; 106111944; 15383699; 815789375; 862195849; 357438355; 519684852; 571417833; 310248655; 91909191; 658832809; 74321312; 941105730; 233001514; 459608206; 250598267; 993948660; 403595089; 622893687; 1210338; 848756253; 795056735; 450465537; 231874933; 1072333235; 25594820; 33994998; 489997295; 16926327; 867153319; 225916206; 531398632; 92272250; 501626906; 580273595; 857106713; 774267112; 917260020; 814742555; 463577836; 858702411; 8198816; 1021072307; 695387083; 619766797; 871366214; 692994554; 1004029975; 77959578; 11739382; 591503235; 132918512; 1069816403; 1071923585; 318078310; 961507795; 296779975; 141855206; 271574699; 601732248; 124848711; 139466750; 844254243; 435225426; 820656060; 372448869; 246741474; 154885265; 100036522; 324899071; 15028711; 519579387; 4563765; 560807098; 208592159; 530472836; 711339703; 748713265; 937220099; 879612636; 1020689904; 572184405; 278066181; 979818561; 704061857; 445188089; 180906529; 686991282; 411605447; 731616505; 141308035; 991315730; 844695329; 165789459; 129376628; 959461457; 299189921; 244164983; 652422000; 130778353; 474010971; 948959287; 808751342; 544411009; 361860560; 827207496; 232351927; 450934823; 420387362; 672288384; 292504340; 971904332; 108525968; 922891339; 999455117; 766432737; 193915155; 920929432; 617524354; 144712339; 621370557; 724451190; 466852886; 86483277; 287664855; 618825303; 196153152; 340660341; 764798760; 471027097; 36297266; 653026893; 237641431; 748801316; 161839970; 512412457; 699103972; 931592861; 32381296; 1004858595; 1021496472; 595009552; 952534761; 1029777875; 371477712; 876417104; 861211924; 898886039; 900936543; 259390252; 727923459; 128148250; 270128012; 8983518; 638337852; 496601472; 640353010; 1023878403; 752118011; 411130904; 884199563; 270818950; 1039649060; 563400028; 521288136; 159731531; 190175621; 795104434; 814337044; 1015713377; 294684472; 175115926; 884063907; 160477250; 18243266; 197923471; 183208912; 378837; 628180332; 769969723; 1020255247; 364507624; 1006539935; 711275820; 962561298; 119705402; 435852499; 208212526; 108648990; 130650556; 214844727; 106665934; 510285349; 1041439510; 368957661; 263279035; 1002809833; 787896910; 724427075; 815265653; 57389972; 508902935; 660460309; 787684841; 500730355; 216713395; 1002111468; 599085340; 1066290267; 958453783; 201826936; 141240464; 950371827; 302608173; 186446653; 701835558; 491668066; 201698355; 775105752; 451988635; 336441692; 657266848; 1023930980; 316678361; 200641525; 123143501; 6894724; 725224519; 509997091; 45293265; 763639668; 227868812; 868797135; 468334375; 8387209; 645552396; 278561174; 293650534; 989709385; 837422820; 557867424; 791063117; 1038412350; 900746233; 836134408; 567701760; 290753967; 873208620; 912405141; 920785236; 821496617; 380165368; 45636512; 417484822; 1007266952; 277845694; 268131303; 988236030; 864989349; 335958383; 141874690; 992812530; 665090532; 307202542; 425648464; 298015388; 137127512; 194249382; 527078941; 687664636; 692924070; 894452784; 159655607; 795360195; 223580131; 632473519; 267169708; 798346217; 1039778858; 74495627; 951987014; 125951942; 23258632; 870039797; 543553821; 370689737; 421562819; 57337946; 73946301; 709576132; 1067910039; 639131306; 874294370; 122372200; 661990038; 365802418; 10197249; 1067938920; 1000725261; 382625339; 1024493827; 698410012; 260007618; 187553894; 271095471; 837530; 191197547; 508883230; 298050704; 715221794; 208570237; 1034899935; 338893871; 933843870; 459582747; 662721091; 691897696; 1027202666; 547507039; 559422397; 960069523; 723229069; 297448254; 502848506; 229953837; 611107197; 56973964; 796369544; 401912308; 137843911; 124364566; 670371642; 316981724; 53882936; 583384593; 383916320; 871584448; 729207880; 294021219; 883030991; 114352843; 348740739; 586293257; 416884451; 517055920; 731847214; 86738138; 675104098; 617958125; 747859690; 826700424; 204655962; 84786598; 796760741; 1031061160; 892265497; 1070727051; 125771909; 442762179; 836321232; 77632695; 906763831; 463828798; 583589131; 833949461; 370392010; 313832152; 665891908; 446851888; 789767957; 189797141; 465340305; 417109324; 109216273; 693206185; 200364100; 845759314; 738733240; 241784746; 807056847; 997246375; 964266213; 377956450; 400618184; 451699749; 348376987; 250593702; 943439858; 19764060; 279086205; 1030460030; 916619172; 750473081; 686309954; 555963479; 28619880; 389196634; 141952116; 777769040; 298909187; 305577560; 830016085; 168352627; 695295706; 503771836; 178767080; 82159924; 261481979; 1060241351; 768793452; 942912241; 677771482; 205593266; 674457068; 769721877; 289684712; 422818032; 693535578; 712184279; 191965758; 527198280; 68118675; 605456181; 732097714; 956598998; 529170201; 482158305; 281282326; 447334857; 643335476; 150509676; 649236062; 865654171; 1040195651; 153122284; 206037924; 542505670; 361247259; 254123631; 35879628; 159928032; 318990370; 236138296; 142077897; 400802056; 939639358; 756971028; 590579992; 95995671; 873033807; 207138886; 670665299; 501680401; 398114164; 984494527; 453798067; 750659284; 329886556; 478830671; 334307140; 693107431; 758503442; 435460098; 689056030; 57600561; 249663713; 896158146; 337063784; 937821591; 404860589; 795507039; 175158921; 251096151; 199596822; 190645756; 103425491; 731259316; 86989809; 1017971683; 394554425; 338752142; 551580606; 49455672; 943024541; 125308089; 776929559; 951507471; 200685455; 38080120; 60415072; 969730492; 681972893; 676609751; 777359332; 963088623; 820910392; 172255208; 199941560; 1032507813; 900438371; 132671744; 408608242; 201198706; 730433071; 68283956; 424468555; 82093785; 952554723; 15088314; 537536703; 669320969; 222150318; 738443942; 858969864; 405942956; 713924363; 882193497; 464077216; 315616899; 714774839; 658165132; 480387224; 298546064; 1038008346; 443924377; 605008040; 765679404; 387991593; 189448359; 67446346; 876269653; 660593378; 865434156; 886406578; 647982212; 739602865; 838311804; 466878438; 502970369; 991741182; 580553906; 982843998; 723267015; 1062414014; 340179739; 882714457; 287070234; 739207522; 388070136; 679539646; 616896158; 577313405; 1014238330; 905161133; 253804020; 421779904; 424901888; 669673966; 158156502; 725529304; 857587671; 44895507; 198787323; 480328696; 845908623; 795792853; 869654661; 263411218; 226100210; 367975041; 951972730; 173399619; 674558030; 541791223; 766820576; 85846273; 416102079; 413851224; 703672409; 419368653; 9874111; 783147950; 295918528; 957651443; 25992237; 384062796; 549116556; 161683902; 929560221; 872695144; 150777059; 228335470; 381113057; 610611310; 341951289; 777415614; 28703710; 871058396; 118423772; 418202584; 335908062; 786493356; 75224559; 714228952; 386883201; 60348771; 442596480; 482105206; 17456988; 927889342; 906864183; 351210748; 961374244; 25113227; 93235033; 719034732; 202682033; 2079415; 110635376; 48714307; 694383462; 37092168; 409763726; 48455918; 713919217; 181887580; 1056945890; 9333364; 114242150; 630781107; 182290107; 135237168; 111910078; 550861845; 42259105; 52924936; 65070566; 291350609; 128814867; 603376130; 500515234; 22042259; 742854105; 1045167903; 1014215805; 487343594; 501588312; 116819339; 890329312; 864678315; 83627600; 582660073; 585922484; 1017549131; 803587085; 118885079; 677862214; 748376020; 976051351; 304213673; 305068974; 656121843; 659506177; 484530754; 580463304; 4637677; 410602547; 462940456; 101955722; 690989557; 144130392; 850228911; 279239396; 937317106; 844358036; 783772354; 511904042; 977476433; 378779347; 42043575; 1008358527; 752892991; 351038673; 947277524; 352243455; 693254132; 83320590; 727419146; 168872340; 637809077; 307506728; 381469580; 964002451; 93160712; 426543965; 851293867; 76659083; 996565317; 277692920; 235966817; 542108064; 331243079; 508319608; 189960900; 947586888; 402712052; 335886348; 103418930; 806809092; 817034897; 911943778; 631717091; 546176356; 1021194211; 1038962577; 363571856; 800851762; 99476261; 274698083; 520264247; 261964450; 846973715; 650929118; 157001390; 807854771; 434799193; 675586691; 380791790; 902876803; 844190287; 14715410; 156297870; 281133427; 528188137; 1034682717; 784546098; 469021833; 465720868; 568580795; 646302442; 997876019; 540169460; 352823633; 554867179; 1033783862; 802299631; 939612786; 381031228; 411425312; 283535795; 797870666; 952473733; 206292971; 620105173; 665322413; 23636195; 150907532; 549087961; 574648632; 288530434; 502735942; 60566053; 897958930; 241325859; 364244099; 753091438; 959645901; 463913891; 61503774; 95332213; 14138132; 117633757; 835233545; 719332118; 875839788; 385015935; 195549091; 12082574; 707653531; 169383133; 1045288412; 397515019; 807209031; 890917069; 338642128; 215021835; 74467000; 209020371; 984338169; 750418073; 346949434; 675856403; 64350046; 806121672; 376501586; 283271658; 819097752; 216030414; 292901184; 595683988; 277920628; 388786927; 215912064; 37442490; 577953543; 213300206; 341181277; 124066275; 1031188279; 794933386; 941744506; 389515826; 594829235; 711661800; 671898765; 685792775; 341648697; 97263008; 103794520; 306769809; 981226440; 165478189; 714648064; 2162806; 827674328; 829461623; 782418161; 400925829; 780694942; 79212323; 58163481; 260400625; 327776247; 972718032; 202622675; 719511580; 108144727; 486222270; 272629577; 580975358; 889955144; 78207305; 931057012; 700889440; 586238119; 619177733; 366404810; 480322194; 39392960; 1011951158; 83677373; 120654354; 933979303; 278245558; 173757930; 492750982; 392419366; 530333377; 119103912; 288498921; 342299367; 749301373; 54114195; 159204906; 103591793; 397214712; 340243974; 358406247; 552624409; 111086134; 974055978; 577082885; 222720926; 739841668; 573014772; 11740928; 777330692; 436050111; 1050933537; 665192854; 744763937; 362444860; 930770058; 95726927; 992810990; 376304526; 289528394; 68607899; 30231807; 756020506; 302048205; 737014473; 122270564; 30102316; 524625324; 877485209; 1012534379; 753580332; 484305101; 196426265; 836300063; 694525763; 562149937; 313209398; 54092581; 406364040; 948352498; 577926244; 155097799; 415364442; 157676244; 979766511; 106081462; 658800885; 976153273; 859125206; 939865820; 764805754; 559711381; 310935210; 801441704; 917866780; 659585409; 1007433466; 52112600; 102641292; 123217163; 971828217; 166640187; 594990794; 489369199; 1038891248; 927729711; 694733613; 414409078; 931315150; 107179076; 368569407; 242488138; 140171788; 960869073; 925137297; 440946238; 344593813; 1059358301; 671870015; 590333588; 726973806; 166860098; 528423322; 160044477; 862778195; 513988156; 383803325; 861802978; 14759999; 124729503; 685581742; 470774242; 30113213; 374815740; 440487327; 878802069; 738299329; 432276649; 65420915; 307593734; 482856636; 783330054; 320763046; 758021486; 736417900; 173290548; 967037418; 301518888; 653546724; 334066937; 80510675; 618554589; 1020568493; 504518867; 697497176; 377817536; 340302845; 74376198; 477197810; 578643060; 542462023; 976686893; 953920787; 308656046; 939381655; 47585018; 286578603; 738726648; 1065607914; 1027290911; 569660513; 498328703; 1064091263; 173768407; 1023233602; 567207087; 160405425; 287937652; 850525571; 620264660; 566668201; 172920159; 847002369; 52620739; 163573596; 984519237; 1064756681; 320128313; 1068498736; 225796545; 631087115; 990597983; 1028438596; 600346286; 86432257; 859132863; 950727950; 259141596; 54631935; 455349562; 104625102; 245766669; 115333108; 213921035; 156806110; 213962179; 222879172; 991171908; 431026759; 326598288; 459379003; 271634526; 341407958; 439275799; 295627830; 914753263; 31938427; 189319006; 989688606; 163328652; 564798011; 839197815; 317281928; 448942000; 951917477; 265910793; 87361454; 180615764; 171552753; 295687800; 972256200; 942245640; 360375412; 192016307; 107102626; 548894908; 814967032; 730149463; 518251774; 43305249; 131784734; 654344480; 671355609; 798222294; 556992490; 170023004; 665692702; 920743914; 791629084; 1068714273; 183073182; 207645247; 425818711; 589753150; 1055518924; 684600197; 884533690; 99305472; 458488170; 354577137; 464321419; 123211656; 124981308; 774750775; 335319046; 100486822; 825098197; 925761575; 638597608; 204588749; 432947016; 667570499; 290235184; 159389852; 1050786400; 8984935; 25633985; 222302369; 521634039; 273377397; 958337109; 734662589; 540918630; 1069075657; 875004944; 75746359; 840529474; 96925421; 945103578; 1033623734; 247805160; 582902933; 59277185; 353073883; 203416859; 398036257; 1050891974; 898530028; 514801411; 873293389; 782898418; 262855876; 196200124; 900930847; 1014864774; 1008843834; 862699856; 560476514; 130349019; 139691309; 186140794; 501791727; 213799544; 627455884; 794509563; 559080890; 890926726; 105592796; 799143511; 773667988; 805778346; 481583621; 42642512; 908559473; 268566696; 141741211; 766330026; 452248899; 149285935; 800687247; 872837962; 1064312391; 57793868; 736788110; 149172324; 934566223; 373061326; 121366415; 809557455; 36613658; 416353462; 300786892; 840352899; 897536316; 574148058; 931203470; 113144100; 559284144; 682887430; 683751355; 326108277; 313571230; 575725004; 578211721; 788036584; 831443890; 791535299; 986859726; 415991960; 395754045; 196649279; 303321504; 258895696; 159000145; 176114382; 11863959; 588054807; 232160949; 823049728; 86281500; 1004805943; 578830434; 690537865; 131698680; 958780256; 788698124; 322511540; 978957439; 924472764; 725344475; 342184920; 125035724; 477335868; 261309625; 27142071; 465789378; 308809207; 374621289; 987480295; 721415100; 509289114; 773255100; 65175762; 867077294; 329482075; 213404703; 454269093; 760177693; 38532313; 838712781; 617741524; 603733532; 654512048; 443489247; 339181603; 896310434; 555651207; 235898138; 63837710; 835894833; 558741488; 678630071; 89162775; 144711666; 447452473; 131561542; 653854324; 164224967; 167416370; 495776638; 898475939; 990871128; 998782663; 789996674; 645346193; 298491115; 291576161; 576522355; 299423249; 740541310; 673341447; 956107223; 937419274; 173099605; 122634314; 1067655301; 586243108; 944904970; 859586012; 729787103; 99607753; 261098190; 949203479; 40720043; 951737408; 1013669930; 34271253; 19729509; 483344707; 673946149; 31704938; 1066058578; 35831895; 899466573; 977270998; 416389159; 962424859; 951009118; 475705437; 952740767; 679374684; 249515953; 155135319; 811627315; 594923942; 497753441; 1035744721; 618161493; 673850522; 359161710; 233985708; 862186486; 496349006; 1013062654; 672299871; 1008466427; 880115190; 635061464; 854969239; 182497462; 166614391; 400815845; 826344872; 166190524; 445329358; 562066928; 1020510078; 314031361; 823086387; 32794632; 369455200; 360236747; 244550625; 554671219; 476985023; 170347048; 1029459896; 1070569526; 299049349; 478416565; 994293413; 281835420; 859560136; 464225914; 568048233; 987124255; 164292473; 633127126; 1053392674; 629887651; 31833283; 289905744; 370048272; 604844362; 135273421; 476470309; 516337415; 156083527; 856832624; 299147155; 1052896560; 866761998; 485500408; 794487459; 976302001; 491517052; 266031221; 33969154; 831632105; 45199622; 820677804; 439532890; 240544338; 732425610; 604310168; 634783210; 656974058; 241349260; 819533331; 7714492; 938189240; 696159307; 902162983; 938573790; 944649589; 626923293; 976473129; 562909539; 968194085; 9411692; 937591660; 349144367; 598631442; 957381364; 1022014308; 150120753; 97457398; 835394416; 429950812; 483950341; 1036802710; 483238227; 739565262; 262310303; 368066643; 349373105; 266341227; 205632566; 583604917; 782835405; 457729198; 64794767; 737007930; 577972872; 1049487884; 198947325; 131527078; 892882865; 690904716; 842685214; 889293484; 510547720; 976343106; 556358756; 780250624; 968518379; 1011022886; 387692510; 108465457; 608363077; 858170734; 234872087; 553541657; 675998316; 607518465; 706031528; 690337000; 166100442; 77492768; 950434672; 858363674; 814214796; 147458019; 208969693; 872023109; 487885406; 899996557; 1031769811; 867555677; 342837316; 742838163; 640115043; 407708941; 115790453; 854223179; 748670249; 694451136; 911286840; 449176998; 393174545; 865001067; 228006031; 288636504; 191506450; 256908449; 926480141; 111963228; 878537599; 341106782; 278209995; 172030436; 46208904; 397664096; 641024625; 459845406; 906859582; 645625575; 399660993; 957582803; 364143899; 180258652; 364143601; 922111734; 784180209; 741363109; 355710886; 208377332; 668290802; 864406598; 380760248; 685036025; 795052411; 916084170; 390203304; 321379930; 91889569; 837062325; 901834325; 516751862; 545673576; 205741335; 112245413; 89779674; 555034812; 623032567; 5615163; 74984461; 137870662; 780612154; 20299980; 789203714; 500136393; 966571241; 19704742; 514434014; 325747198; 960105911; 577202588; 577586335; 362777486; 138966977; 513971893; 444765168; 251379928; 1049792136; 989526861; 228813775; 525666436; 521051572; 98694013; 903969820; 349151941; 678489602; 258015740; 15766711; 267669215; 526441835; 480428845; 551364051; 914503059; 1050147415; 189889387; 787600243; 799919080; 904333697; 694592064; 219005216; 532379088; 307605835; 210267670; 616976251; 537441514; 773077834; 706302841; 655137848; 290522694; 760699926; 550450473; 976109349; 507562358; 631615769; 452964655; 73735581; 257374536; 538680513; 93920410; 180220610; 597875409; 530235290; 454675742; 298315529; 609735769; 765776051; 1026729525; 314801265; 679354313; 119111399; 357703096; 1044329691; 53449929; 1045799514; 477856195; 98726822; 645245913; 105254330; 333069667; 802350864; 946564473; 544003590; 190144734; 422365829; 736986064; 561983568; 471475925; 656580525; 727821974; 518659652; 411724098; 1072914086; 373318757; 179507571; 765023160; 1024435043; 389441205; 496777307; 862491056; 30050908; 868681778; 722108208; 423201934; 330318395; 540838887; 312032819; 784824519; 267405686; 90329477; 92985475; 720551385; 681554996; 13664005; 516587426; 87524111; 657550163; 547984147; 596765143; 264774108; 595993670; 376244385; 412566908; 870990061; 881964350; 685129538; 884830367; 290961040; 747602526; 506438429; 796763326; 276477925; 634207555; 968030785; 961293866; 78819526; 632405198; 55642320; 39206228; 492436101; 800057819; 537396853; 117162466; 410868386; 110738060; 961587221; 1012563261; 853089862; 414802893; 875172473; 429969104; 10144306; 180825392; 200387390; 559253723; 746602862; 53293011; 335624576; 28738164; 1015850563; 940722532; 74860669; 111719148; 294895499; 682192146; 654834494; 472227233; 74735327; 830751008; 897117882; 1037961124; 778925724; 43077166; 672263073; 472399991; 409836637; 783554760; 131323026; 72734036; 126353189; 699149055; 422334284; 172353751; 688497428; 105578116; 380174786; 894548926; 559322903; 127438020; 845480692; 484572965; 214198132; 340004856; 2723836; 618468751; 645188800; 964401694; 60826640; 950825464; 900327305; 314880117; 396539268; 737647960; 49098839; 38025744; 824482519; 247330253; 577706502; 975727095; 674425548; 414997666; 285381025; 555559891; 352081494; 21603586; 1015072176; 940100853; 398082073; 85391154; 888910308; 662791189; 154747312; 217248284; 931932480; 56677869; 31429188; 287117022; 917248387; 902977180; 1053211889; 447254519; 297734401; 391404296; 478301996; 523267469; 799915621; 1011325982; 22479522; 554464517; 475171502; 1067144398; 693951505; 981209268; 22576986; 495151824; 785605303; 482831184; 606843432; 710176299; 1053561649; 677841562; 55879203; 17798236; 580247963; 937243490; 1030543062; 401353564; 766030203; 316528626; 370501789; 141937244; 100214677; 51141462; 886211474; 922445470; 394229940; 824300324; 825192602; 72468316; 63028561; 934776021; 679891838; 321840090; 814382674; 386212059; 266157245; 902905012; 13855029; 670431250; 544283160; 361789654; 298384337; 573198770; 631988504; 838012978; 890845696; 591287322; 667155600; 835129119; 796018153; 885189138; 728089251; 772671923; 945317196; 568900092; 859441019; 896669176; 353173083; 345355959; 997119883; 705686640; 562514006; 871618679; 359580463; 1059656725; 485773545; 50749567; 91402825; 29546848; 494174468; 668956775; 850028865; 429592813; 725646154; 524247022; 84357150; 391844617; 18951445; 804286870; 557373342; 427237322; 754588200; 198983208; 531698712; 413175870; 854112472; 919518185; 382017192; 836593713; 711167133; 319989626; 776990905; 609675083; 907096429; 707033737; 484978066; 21463139; 981352104; 677729526; 869138344; 901019032; 373404630; 715429931; 820317607; 571281745; 168419976; 910552797; 692710528; 427987727; 754552085; 646666122; 975739297; 1016052291; 166365499; 543726754; 787849403; 886610476; 48719093; 880668366; 213998555; 866077714; 538263655; 653783610; 405315446; 982808179; 1073274231; 275707351; 467960919; 568525138; 897966839; 95820399; 927671639; 785045573; 760084336; 76287513; 645695361; 256690134; 903546602; 899453417; 277936471; 741921376; 861747548; 388726321; 957605662; 303300504; 803211751; 659002233; 267118530; 585914092; 472518731; 174530691; 273407313; 425069973; 645547673; 257696755; 634745827; 965173634; 548483688; 454147672; 762899608; 470255099; 890982877; 355058543; 765541609; 753125544; 840264272; 971626702; 772150423; 593424262; 404544852; 839500517; 447176717; 231423402; 689273877; 345816293; 115566690; 179363028; 266046589; 400009728; 742670151; 715504045; 342878884; 87971706; 81640495; 808012973; 1044039579; 776140108; 257980980; 536429516; 730606511; 618480629; 365852754; 579278991; 818754179; 303126022; 128603241; 812067695; 511707206; 892404636; 703662759; 401539900; 807181444; 911503679; 218604342; 77066052; 563130277; 24929868; 1062915204; 679077679; 716369636; 77564182; 536275655; 963572039; 333229616; 43857313; 630351117; 908314451; 209762826; 387415617; 552260663; 578865041; 530556762; 1046376328; 880685277; 445985669; 279627749; 402581491; 1048900117; 545911266; 8039167; 789939946; 343288545; 702717251; 226064660; 193058063; 260982029; 774086696; 411358187; 848498992; 19971465; 387590801; 219935192; 791932295; 314755304; 14847898; 82318959; 621598297; 212484540; 28062226; 59519654; 325755152; 887834981; 265747013; 98797827; 681260211; 149962638; 242694009; 316185632; 816867846; 523855017; 913880487; 426951770; 508071565; 860410160; 369227267; 611856852; 556331894; 772985954; 219462542; 506671532; 1072450441; 37621722; 993873138; 666899206; 1010006139; 1065790512; 623663044; 677356841; 761583681; 551225557; 686378031; 144885661; 678626540; 309452270; 845311103; 683381135; 564100688; 778128815; 404151174; 52418247; 446779712; 633160431; 837325161; 351428950; 815390561; 467915063; 376377919; 539997932; 824864844; 846850758; 386801349; 806590162; 193141283; 528551310; 402414901; 124239543; 817540155; 155249839; 954787314; 426880714; 446890720; 361543719; 938056404; 863942969; 746650644; 860591519; 74395755; 493352264; 97270292; 193536846; 5197864; 728624274; 954952885; 797954509; 177545645; 107182082; 206030384; 402162115; 842083690; 147435798; 626140847; 338580658; 958844080; 516129628; 262390684; 1070844771; 568244832; 1055663215; 780148; 389889763; 898007857; 700657156; 521408125; 8533741; 455755055; 480626224; 860250563; 455213529; 648917501; 888595517; 655538955; 223178029; 578654805; 543632201; 552718974; 762031675; 796189153; 655638540; 714292525; 502578039; 236001623; 313939103; 37090640; 265360275; 369272266; 258569090; 879000425; 357192487; 122576749; 83258601; 332675331; 411483647; 831666839; 454567215; 645697914; 407611382; 870558466; 998481294; 127266606; 553939729; 494542239; 963278252; 911646149; 972550882; 402551704; 424114864; 245910017; 616330888; 169171411; 815801704; 566689849; 772071703; 317607383; 356818884; 397095001; 20051121; 775354985; 243506925; 112480250; 792116174; 391232473; 57103285; 214740265; 3051154; 969306490; 19954899; 1034890738; 628845908; 695880370; 247244079; 275304885; 681189522; 595019501; 694554607; 756467403; 787786956; 64544062; 293922905; 890395303; 782116721; 267915387; 595327984; 879900370; 125545691; 375479697; 983664452; 1011509644; 503821899; 456743167; 414832355; 6983237; 534347254; 476001435; 984962417; 116143181; 417474061; 621475014; 402131274; 375976303; 841760774; 331189109; 368855207; 1034483162; 357151030; 735306905; 873323444; 437431890; 937531951; 646018936; 1070280948; 602256728; 644439658; 101473349; 481015695; 380486677; 429191724; 808315111; 515850262; 522020243; 541361087; 243443540; 885429405; 255709627; 96004834; 44438661; 404335268; 530283229; 530663804; 457018549; 865645981; 151358314; 751086852; 667810275; 142866295; 467882148; 387162955; 232304094; 983600885; 13047605; 441540734; 615848779; 659047936; 283272770; 1049209680; 195870826; 899401271; 614596962; 849907758; 579897586; 994493695; 748143751; 1056676061; 51263390; 180386172; 76175773; 605439519; 711799041; 461741160; 640828479; 103162958; 349436522; 898302369; 890769540; 374660667; 421801131; 658465285; 318245324; 769945460; 338209851; 418460685; 127840717; 809289921; 706080532; 56218863; 621052334; 920108940; 10300323; 843185563; 539792616; 232915300; 493971432; 984557043; 224620080; 44802643; 297317875; 734259023; 529873428; 669256996; 886406990; 703710030; 660302860; 259677922; 399335209; 875918990; 315915650; 125316253; 801581967; 514336474; 491013244; 656349471; 57487063; 340358667; 285894146; 667917275; 573670984; 145328756; 151181023; 1031362325; 1049337780; 479396779; 551049075; 601019378; 903199436; 840783625; 644550926; 125614941; 435656137; 836942764; 496819756; 1008924951; 150216076; 549219933; 829968757; 727070813; 690769109; 1056699143; 176929440; 711943431; 97567205; 754305198; 540405309; 567132933; 492983653; 464027069; 795513097; 297517050; 371125529; 555269563; 69344957; 5716898; 17710298; 69216312; 640770215; 903855370; 998719352; 409409055; 816285813; 732599575; 127705181; 189085832; 385313079; 509858094; 109416565; 418985665; 1048023851; 265992274; 695691651; 538586400; 543075362; 663996545; 989825079; 310239537; 796873376; 302285304; 110734028; 892743585; 287822305; 727486900; 476233736; 910049388; 558500124; 58500334; 388510302; 722329480; 601780357; 700884826; 844037365; 167467663; 311442839; 1053541224; 177107926; 20426138; 276992740; 897659342; 705131054; 378150749; 201823892; 130740302; 856336387; 364192197; 391553444; 458194101; 837223843; 957632073; 989257922; 804743142; 136142014; 1028090230; 460838431; 857298638; 277018296; 89725430; 212115464; 756247863; 1026051588; 501293804; 449456245; 432832258; 545361811; 382027329; 814133088; 465549069; 609246681; 965253396; 1047667372; 946524849; 231001257; 153996536; 405134822; 526308030; 329037134; 983000564; 999612445; 79353881; 770484090; 700593099; 869841547; 63277706; 300797652; 333832398; 1022648738; 386488151; 1060700340; 357100841; 831261463; 722369504; 979040403; 1054901350; 940334217; 16492093; 916231939; 916809760; 664664481; 993339171; 466993435; 734157084; 729780649; 589042980; 73181176; 280456714; 303327989; 169614863; 133624869; 934521590; 951181966; 156630518; 412272817; 268891091; 68853592; 937424850; 1063723249; 565495532; 341137472; 441365652; 252454211; 398823557; 57795451; 29931145; 295300099; 696921436; 852161081; 325622890; 21260862; 1037169587; 811011548; 644085370; 164239114; 143946268; 274960933; 53134733; 134374208; 1030092432; 939092802; 762885709; 883322530; 222660806; 418337848; 539086909; 655318736; 877428899; 804495131; 440441927; 741280736; 769493539; 319749466; 999158646; 120803439; 16300845; 974002852; 39199866; 207025424; 537897157; 403106701; 606302392; 719340873; 679330046; 517400790; 402471129; 351276432; 836088462; 827805016; 833695010; 693695003; 695440646; 601486452; 806877995; 622238749; 690486255; 54139166; 670282527; 78421961; 262257002; 778343288; 100748539; 88126362; 26068276; 997139491; 432317566; 533556861; 364104416; 288905792; 950647570; 626294391; 6546160; 338476969; 353690339; 1003552184; 732734478; 360803299; 283473477; 749758137; 22587384; 878907760; 819725957; 591947844; 339088560; 256720520; 401640237; 987429373; 341579221; 499963596; 957519736; 421355818; 1026781907; 799144434; 541892726; 789879114; 977846061; 34624613; 302837338; 7156762; 246988023; 669671753; 405781266; 671003751; 306815062; 137993276; 211422238; 796185837; 743624903; 741734921; 1030329741; 514678291; 376823994; 595945574; 969633975; 169189090; 984068232; 1009662908; 805194965; 607198821; 538961838; 11000611; 771424886; 307948299; 554134241; 363476716; 427742162; 629654708; 890455287; 263471712; 356134147; 513376178; 654255223; 719303695; 729666788; 625494272; 1041184491; 208496068; 668328518; 986594480; 533605481; 838621756; 788536011; 413587572; 212565756; 495553979; 555372480; 354216046; 875367142; 230203243; 481441288; 785005051; 1036664766; 699810450; 899700061; 1533250; 713051140; 844753178; 118211668; 683207568; 901594353; 484713539; 495720404; 283088068; 1071060779; 251514442; 79093643; 925001630; 221294630; 972475235; 621828474; 830796069; 442260883; 1067448203; 118819707; 242762466; 793651962; 692189608; 619033508; 16760731; 845908951; 196966741; 298090342; 832867195; 518540523; 134873357; 125475240; 988601764; 364600597; 72469546; 725949111; 398329650; 521630313; 635198290; 704727250; 72881864; 809717658; 161778833; 440077871; 667293204; 174773046; 1024876006; 452637563; 992443374; 457509733; 1039401294; 821641115; 221851469; 426562816; 439250047; 260826479; 658957091; 648817406; 658357160; 631149802; 52094856; 546100131; 832753207; 927913070; 979376780; 398364799; 322053895; 88158703; 397963611; 945596671; 124292619; 546063286; 129885080; 457084232; 673835318; 688877059; 441778078; 829117598; 201310314; 157941520; 708671518; 421459032; 619810310; 289263389; 913604709; 53196991; 414396117; 246085294; 347292776; 787954184; 443470242; 779133056; 771886418; 1043073543; 778456852; 884506157; 615739173; 123522250; 494122268; 846901329; 720817021; 932822956; 914905723; 750043542; 227056803; 673747881; 654730616; 163350297; 898928670; 507050611; 872105536; 519197155; 543281346; 109939231; 958888660; 1061191495; 668186410; 752147143; 101361477; 682530628; 159640014; 754875254; 303230588; 315884621; 317377206; 714783577; 320332420; 541316325; 412055251; 416981714; 521232583; 290094108; 39505001; 1047940794; 784590719; 932030138; 635859601; 720368453; 440798660; 907673525; 781841347; 686479761; 7675455; 38444321; 391899030; 123911016; 721690222; 219384613; 830344599; 367216056; 369345073; 352582441; 1072907721; 827703718; 420745196; 513820660; 390641745; 1060631323; 319339090; 185317846; 127435527; 205315200; 544737247; 507778545; 346782756; 736755565; 177246662; 943850401; 640461846; 624354249; 734672040; 194305; 480797713; 817568303; 488489833; 529568785; 927262103; 1007914349; 557113172; 252525924; 127855383; 673499033; 722357221; 791712116; 460164443; 255257153; 609772676; 873400246; 690707332; 1040186506; 647327240; 817383317; 46312062; 868636442; 190108556; 1001207390; 358680419; 902757052; 368192751; 998953430; 434921025; 779037548; 277667593; 517605626; 316825272; 182250412; 731648457; 564880350; 676220443; 285009165; 867408513; 775317122; 804086429; 658622864; 603871898; 991265147; 251136901; 49634263; 946299325; 105761385; 873383256; 910490151; 1044490060; 550713620; 581357397; 632011194; 684973922; 432454079; 493663260; 397969907; 1058164117; 658220259; 549180226; 729173403; 183673793; 199167022; 1069459150; 140150623; 757665900; 462714477; 46242085; 965358833; 613295320; 936559417; 40915277; 736276642; 1059813561; 290385821; 611748879; 465773457; 840814484; 51730584; 495797192; 307844469; 22413753; 454005250; 671355492; 498423113; 798462467; 473525791; 461855843; 764605907; 101435352; 865555061; 545135729; 32867169; 219792979; 477670717; 1067237302; 437196110; 401109877; 1014004792; 653502993; 663874632; 948251088; 49938811; 1011586679; 997379320; 1021722324; 864750035; 688310980; 680873486; 53180595; 418183228; 1058111172; 328331622; 483766970; 734734217; 200581139; 35421954; 444119345; 752357534; 153001111; 934526573; 43880484; 981927891; 130544117; 624546480; 982378841; 995300362; 688486165; 474722377; 112287434; 96258261; 671986396; 475708733; 100188730; 944424663; 205056995; 1064792311; 573291905; 175761024; 630208422; 841568350; 696053563; 814469786; 1007141863; 747286695; 654753794; 404326317; 909510811; 57272467; 1022339400; 891528189; 750519439; 141712860; 681441408; 145321860; 688857954; 172548437; 1026368743; 276429363; 21456261; 1022424892; 125535526; 437384802; 532895606; 609710362; 712061710; 22697371; 97110444; 590686153; 106350421; 15413417; 1050492140; 168796321; 497952480; 273562101; 429778048; 852864154; 713437446; 137897537; 282069269; 149746264; 76565520; 223252808; 658393955; 345232315; 310719309; 6579174; 480393037; 156992322; 647271816; 872093744; 23450987; 782431210; 648342729; 695270864; 793897292; 497285077; 825959355; 897590649; 233026501; 110136581; 159529907; 688341665; 172604036; 722107015; 727549782; 544070704; 90692392; 778990806; 360496844; 803497722; 974930315; 908292673; 230374614; 1043526400; 767407643; 809363768; 168252792; 640887271; 884355446; 296286394; 992573064; 540909450; 965729285; 111058801; 368508962; 819818554; 28712482; 195148510; 1071528992; 260969012; 1024767423; 609969286; 495011548; 868975538; 806742926; 298614567; 541460375; 312826718; 733091281; 407364207; 452634108; 660051211; 811019096; 209296197; 184997353; 1067500590; 159589720; 924189369; 983046071; 613662224; 936196955; 557623395; 42182743; 961051106; 699357713; 947523899; 178225908; 1057318471; 342115679; 355981044; 14886507; 837800927; 667974772; 23202489; 981518056; 650455234; 1026296538; 180307879; 832033020; 333769105; 611473585; 113104759; 124609643; 803133816; 756399570; 213125027; 774738811; 780610514; 692399004; 80901101; 639872441; 134954105; 614488171; 502390980; 699543095; 32999828; 10606412; 461016454; 361995916; 216000541; 261040913; 707876966; 498791354; 268798656; 1070823372; 839548428; 408207257; 458422738; 959476797; 892372792; 907661757; 771558047; 627508537; 646516124; 46195729; 490056170; 944026762; 1056617923; 782420618; 654383393; 708388656; 733164447; 168230236; 46789680; 485756821; 1013939552; 1033961811; 218791539; 136093287; 555406869; 406926389; 1015932588; 682818628; 630330149; 119419738; 59350880; 709505987; 362335158; 349262526; 696681853; 689772981; 211036638; 286644553; 555079499; 963785129; 652089941; 961990744; 451421701; 173101592; 368550127; 98500509; 619729862; 128576175; 538693190; 441435830; 817276897; 900067678; 14578463; 695160026; 185187152; 595361004; 518059793; 807806293; 501382478; 1035894549; 373266557; 783366133; 647233589; 998518088; 173166096; 130721253; 727681745; 474394176; 226621736; 261940306; 576287779; 452175418; 666335903; 267164702; 95207893; 732712638; 973879867; 1044872640; 393868420; 771410136; 964174229; 938859316; 795719109; 284451066; 1012149365; 928313588; 909080102; 496982405; 893294718; 162102170; 737899114; 1034596338; 173439625; 1006743526; 732031109; 624326146; 137057303; 988997351; 714294221; 1020435237; 756173616; 8491334; 78289718; 98974488; 473175100; 371933613; 925908624; 53837992; 981327469; 270484040; 569482746; 847372589; 318308715; 1006394370; 1043287095; 52237312; 1062430525; 597988345; 947189610; 237481409; 614718695; 171879216; 645214464; 672244503; 530546551; 412479969; 779224860; 530734143; 732811113; 641142938; 733235910; 636057200; 906716216; 4797408; 420928681; 628119633; 60417454; 245953533; 611160334; 820256365; 84947807; 388876704; 317748187; 545955869; 650587893; 225840215; 428452874; 207619639; 627175972; 129494807; 205946756; 161791511; 679197959; 957414234; 436856116; 900681233; 1054813519; 276839497; 989457468; 716730253; 1009283461; 1009602822; 621013072; 646138133; 16801203; 9819207; 638743131; 998369495; 991094393; 828932355; 873665872; 992716799; 831295101; 1033688999; 888524261; 1064087832; 828509131; 636008392; 347343463; 406181; 1068223716; 757623437; 743132920; 698536598; 799960007; 158809294; 701550260; 678090569; 220249917; 1027546237; 671372574; 2684215; 961853108; 798308878; 640212580; 671721551; 965019986; 887125822; 641486882; 497668874; 838747450; 210235804; 697273810; 805145099; 389783454; 61468334; 39734882; 292651727; 377025047; 178182541; 33755185; 960476954; 788900020; 940844974; 498145687; 844244264; 489096380; 89806706; 324649946; 365972917; 39801657; 633990422; 560003646; 253808096; 575393669; 5644481; 847811424; 112880623; 712491869; 216436975; 211129164; 984202309; 343150525; 1039099536; 386602807; 194694303; 241851384; 822063866; 490664589; 554684613; 272548441; 306109151; 940588350; 12733899; 926482244; 779180306; 455471875; 30284489; 731567629; 420107921; 155267878; 375005160; 690694081; 623253326; 877256608; 60751128; 167273732; 686453892; 551922329; 778730521; 419669708; 1055702944; 781561891; 180369783; 369154606; 104174021; 164670866; 840560770; 439538185; 889296706; 70318960; 324483109; 49363591; 694008042; 409571219; 235543270; 696428636; 495274989; 750226751; 1064032781; 959181314; 999083107; 855137183; 959648099; 870863026; 323255083; 347271921; 435648501; 91512939; 701043309; 395685819; 1008232379; 801909683; 712717407; 762247100; 777707102; 407699315; 259273917; 541415809; 71828016; 434962311; 735829717; 571731597; 854897301; 1054715813; 518579606; 746785796; 987929722; 347197135; 873178968; 9629528; 382014044; 265325185; 281988803; 985394315; 932092458; 599252858; 693822000; 181264838; 816899512; 950832598; 243668103; 520420993; 279773223; 755280035; 314229455; 320396629; 599869097; 600173988; 1008332832; 151308525; 120105983; 162160014; 791496307; 672459750; 403427159; 909383795; 236352434; 953798641; 470812865; 261869968; 678220259; 10351343; 820175522; 486722077; 986016182; 680775595; 1038463118; 328123754; 462670623; 218350131; 1067514293; 631088265; 23398067; 209113516; 980356215; 1015988510; 448055401; 84200688; 436466266; 131406341; 192103459; 91829624; 18038738; 382164723; 767088542; 817782500; 691204306; 870511429; 229881218; 875630331; 87621839; 800221070; 1000046976; 32696407; 855566415; 907699151; 384682686; 721867772; 149217180; 1008029330; 360798660; 418321101; 855214324; 1062141730; 231713037; 492504034; 544605343; 516650686; 150363005; 1000316710; 587269742; 524745706; 1064697295; 433802090; 130181627; 320605397; 686011479; 367259648; 257101848; 905419475; 150554379; 987597376; 598679755; 1023035326; 288886276; 963475220; 83289523; 117668740; 631820908; 635731466; 452534477; 1007475756; 306675977; 74079383; 919076389; 675276295; 291296468; 1031379133; 879753818; 373436468; 1005174420; 104997530; 897355688; 462940893; 1015503609; 450788746; 677393594; 223008539; 519759288; 370702086; 412120913; 296298647; 58242546; 127393260; 1012674643; 62394781; 162893526; 610997424; 441400382; 505142383; 861192787; 707136858; 939689855; 459061598; 568404270; 420216480; 900801185; 437703332; 846255303; 67585959; 1073295515; 1040481651; 399386499; 742469270; 552559860; 924238690; 574173853; 256963921; 39252872; 958686743; 853847336; 999538656; 960816796; 847413925; 69755684; 368798341; 236843206; 165450126; 1006849039; 559167508; 466917594; 1030093781; 292259111; 722228082; 1027393217; 12218622; 470824585; 363686159; 242526735; 807460778; 5152189; 121423714; 681977230; 431675814; 647245401; 421820205; 624327049; 985202204; 916942014; 526296005; 452776734; 1035261700; 250418288; 217292451; 682895770; 953016497; 552099924; 19913956; 412535926; 622084984; 715740127; 796631485; 481654519; 798742062; 235693528; 480733452; 511132761; 338850588; 23132345; 870849908; 850379021; 1057039060; 654958503; 486461473; 555763922; 564690098; 328982633; 422250934; 984728645; 97535285; 99220066; 139324706; 1043895066; 427806279; 877806957; 1026884325; 452620662; 891874772; 471391987; 917250555; 933643126; 634237172; 530476286; 931282942; 244677183; 403278887; 1029658910; 84433442; 349691098; 633032113; 647635761; 1035756112; 657242871; 1043542035; 644030523; 196543452; 501314138; 957802636; 814834550; 881516182; 340602321; 389791179; 458610748; 762951827; 198004928; 355064331; 294282822; 763885505; 1067383829; 590005216; 8756077; 170949946; 587441975; 805533677; 183155576; 388675463; 473916831; 631391446; 191565814; 226778343; 1037194154; 768412067; 586889423; 758052248; 658409037; 661339895; 1061311176; 705811856; 10412067; 648871306; 376749423; 700822992; 284805923; 421938804; 454037197; 333395967; 322687599; 622959287; 118412154; 229546003; 324752171; 312959305; 539344672; 842590590; 273794514; 1029228387; 993300192; 167387567; 613340560; 858265221; 451776094; 772698682; 869228840; 915929866; 189083870; 464342688; 915292350; 416073972; 825438690; 215917201; 166134035; 607972335; 147674066; 427846134; 530876107; 111727661; 1053009548; 253164482; 881772704; 654899443; 506211151; 282832702; 832724791; 806003646; 392296196; 93343976; 611106855; 242793537; 869723574; 896515571; 862017911; 803058263; 959654930; 606792032; 366793279; 948740722; 147655926; 1034374437; 624586992; 185090708; 169425695; 97607877; 816241402; 463419194; 747974125; 655092287; 278853108; 920039751; 612513696; 326033932; 424645846; 209480132; 313911645; 747316697; 1005179998; 714678698; 21620519; 818600184; 1054753799; 337313871; 695704534; 264864002; 35631411; 525925120; 802062517; 654383665; 495754445; 879965284; 883039119; 71759137; 751105372; 815570073; 379924165; 1042843807; 618868169; 282110983; 800267597; 8202171; 438112684; 530042045; 244218464; 756826414; 10796155; 270404965; 376132439; 565833731; 964385857; 422507021; 189078751; 150340579; 908484014; 431981905; 570708283; 678422171; 427675471; 561570344; 430129518; 401630488; 930160569; 439723532; 740120355; 930514968; 230924112; 698186496; 1003844200; 516400379; 1016430889; 855651041; 36824680; 390242940; 171866378; 310988940; 199438748; 286459983; 373150743; 406642941; 924531044; 123932807; 994309640; 982968927; 289585965; 483496825; 1010516478; 956825509; 218664856; 451316219; 811485719; 353223022; 32024434; 259755346; 694060329; 601044826; 419127930; 948686171; 395281474; 819367006; 901800163; 1039342705; 831986927; 108061262; 1025063683; 304843425; 52897647; 123436128; 616632167; 923475941; 367908803; 868944168; 615964714; 251656587; 26704784; 940348599; 859274911; 331446049; 8381257; 948511600; 678457162; 505732761; 34146811; 481537171; 631675455; 658698108; 588653650; 323027675; 819084452; 843679338; 37163089; 456277741; 1010379948; 475452609; 62300147; 769221183; 690235012; 164923946; 260556851; 908762777; 277896098; 43254995; 337077184; 189088892; 327363252; 1065460892; 781428891; 82840911; 307363009; 378978841; 748423862; 685111751; 937460028; 156474812; 227331481; 832832483; 792045178; 113071276; 154651610; 951892252; 824093211; 905602609; 642640369; 115981215; 445387138; 728717648; 797157169; 569436405; 149663574; 741526841; 714523284; 108948420; 835137802; 920044640; 107360477; 94590309; 730768711; 67866377; 269692363; 72205144; 653327993; 189386157; 639436458; 101895084; 652139337; 326450983; 845698511; 313332360; 220620120; 207501734; 371953746; 113687268; 311188984; 710747245; 713983694; 1010733659; 1006336673; 995895654; 1002185599; 1002845597; 918989945; 550928869; 834313505; 623927414; 94778102; 983239670; 327690270; 782950022; 201248421; 869795723; 893597394; 357678475; 691848534; 835738626; 109143995; 146494726; 216124140; 15846782; 186285670; 284538457; 759873505; 588010186; 119613081; 244146794; 604841739; 389335554; 210144624; 684781945; 752571152; 207704310; 262190132; 1038243928; 485210800; 823844783; 874952055; 517845298; 506098395; 953895705; 382618712; 780987420; 47881592; 943928776; 115992534; 1005386299; 260269352; 974260176; 565001067; 753978919; 1047098753; 37008898; 393279028; 242880821; 763421063; 868058332; 171332008; 541699383; 986574407; 1042120430; 934196370; 5553739; 81623290; 232047811; 421707431; 970086934; 574900664; 100098804; 657595231; 602262330; 793551087; 440364581; 316440469; 158100431; 410397957; 715825006; 627282216; 156663096; 530161177; 557422927; 1034088551; 562434630; 665204402; 326371924; 668556734; 952702726; 733930274; 518255986; 644274754; 363928813; 319370825; 431031537; 267245589; 740569322; 448023533; 215718075; 980322931; 953395419; 133764184; 887087988; 1012511345; 366240659; 178626850; 853041427; 141886582; 799439175; 94480300; 20186464; 170058311; 13989368; 413156217; 808618527; 796685757; 819787411; 100988691; 716002277; 878714253; 977980624; 1025274924; 1060688022; 904063686; 567786988; 926776059; 556298598; 175458410; 76849849; 905770433; 239987441; 471202121; 868803909; 908681117; 132144974; 285715777; 1025120988; 832089518; 910862774; 66964750; 816311445; 673312256; 440129201; 404384903; 648024271; 830197927; 504740476; 648399831; 371546737; 996868331; 226240919; 601458443; 245647685; 713041302; 200242525; 254305376; 654090505; 479946823; 376643314; 143380813; 482052053; 33459520; 19689035; 457851642; 319952397; 648428909; 851754976; 933649949; 602471604; 348746694; 738499152; 331054785; 432342898; 311546619; 952827271; 186497815; 319452411; 963559046; 250167724; 440111898; 605549248; 103244477; 918273551; 101914668; 928842279; 173513227; 396618591; 537148700; 172701765; 593551145; 371598800; 27020557; 731440226; 485385021; 490163592; 280337427; 882431213; 868650320; 354051113; 692043956; 81830424; 30073172; 517598086; 76003106; 27612356; 706932870; 546710555; 115831015; 1016352627; 714097796; 541917847; 122663379; 730861321; 523823578; 823049696; 712583804; 135017121; 868867767; 13788454; 47085940; 91282624; 768452014; 447562364; 928691799; 308763017; 385654536; 389305362; 114081516; 1026039736; 725204995; 665152830; 168002736; 111225405; 605605561; 408560384; 89016220; 565640772; 31172159; 216777376; 1069040314; 613326146; 423952036; 846563079; 622799496; 634529215; 59324782; 417364462; 385619468; 295207598; 780034166; 458786211; 585077304; 762468668; 217628083; 476517337; 857990936; 469589483; 235737183; 364944237; 71066845; 239094063; 209454868; 80377823; 51192193; 865353616; 370562258; 469407685; 928064755; 879185737; 290523750; 759568740; 503200492; 36162858; 54077347; 699986521; 304470273; 76748306; 81778905; 1026931104; 716978502; 747325678; 14232386; 693121978; 451917155; 871401027; 587344178; 201059597; 504657956; 221701719; 197857638; 800804390; 1004009930; 1024568036; 369207764; 620519971; 704213018; 757194891; 114229234; 959175357; 627120142; 790773108; 1052141090; 688773547; 61293375; 582700474; 727433578; 412167191; 70444862; 764562681; 523774432; 1041019533; 751771929; 516171302; 309073613; 981675780; 291543969; 240725704; 89155225; 787470284; 736526507; 435066253; 59003591; 925176898; 398299547; 824481376; 390387243; 704955278; 957587167; 669025006; 110407908; 571280576; 128723986; 629310074; 848738340; 936745765; 792090783; 1051026233; 335244772; 588153988; 91524052; 136071633; 469049397; 996731119; 3176049; 896787071; 478071615; 1020463537; 920817506; 960682645; 917301963; 529013815; 497307878; 1066175297; 77335429; 886534762; 629266757; 929265595; 501890548; 946822385; 20480668; 738165537; 1035805111; 291824949; 889796434; 391294042; 785996930; 800347016; 668366326; 275415672; 5968217; 138792885; 201921005; 401184265; 142182795; 787132501; 632709185; 702630975; 741387030; 185881215; 362529435; 107409370; 273553800; 713011761; 109610935; 708049508; 879143521; 425481293; 1005702606; 258750985; 438835498; 6222195; 502605362; 105210031; 654485472; 71579406; 367795980; 579513083; 516302688; 240049249; 100062278; 916448839; 188850127; 429761794; 628679667; 511062632; 547450246; 363304921; 1023077933; 942606581; 80825327; 1002561709; 557487497; 347633936; 1043366835; 841185211; 518747334; 310830300; 947022334; 177392262; 387695663; 345665932; 550170527; 361938585; 836828728; 515518237; 1040491375; 799607475; 208454251; 217132114; 622119229; 949926082; 978187202; 373319215; 339667270; 840351384; 698367325; 981280495; 773369927; 721412472; 434527239; 994605647; 349900794; 503977065; 674356195; 346148202; 365056283; 872798395; 720721983; 605580049; 550534220; 52547464; 952941846; 380283940; 1059244482; 173922994; 937589906; 1053470331; 490311790; 909700610; 951961564; 976569896; 224505362; 1065719294; 511877660; 298759254; 576362111; 6398180; 462283247; 522778778; 713124290; 125031506; 390293126; 465663308; 569431493; 1004396765; 924685372; 930930344; 1073501756; 428921262; 658704963; 212342697; 858549079; 118539419; 892355263; 241708840; 129683886; 734355173; 1008673699; 696100080; 439232504; 721190124; 922131602; 309062610; 973685323; 384643787; 791216728; 874653428; 509370019; 177498417; 586322073; 707781780; 237145355; 926838180; 79929729; 205268540; 749731698; 624301506; 1041668844; 36549989; 466939845; 217132463; 759165476; 701538548; 913989356; 714120863; 452696621; 184153595; 644832563; 481209490; 688013669; 168973333; 140124437; 458593510; 51405782; 1029504782; 623252193; 237943966; 549922717; 727639542; 620724495; 195621688; 399194029; 147255392; 612541581; 578142935; 448615003; 143767552; 368054393; 132176659; 386233658; 684637976; 1029487753; 1018556367; 628334570; 1006252388; 633488732; 14251757; 998152790; 210928265; 348340774; 889904551; 888571364; 910080719; 684213937; 487890944; 300018737; 558165786; 128869448; 802519573; 1007789922; 85427936; 262694554; 943518415; 714955903; 202720538; 211216807; 203588454; 384834412; 483731863; 542601749; 980045767; 233393338; 1045516631; 647054921; 535307287; 710428372; 1016877128; 305036523; 387819808; 147012822; 1059833328; 533706752; 961341688; 855189614; 523632545; 714296095; 440460800; 593365593; 755297666; 911504683; 1072508004; 94825535; 470820035; 398891897; 398430435; 311785871; 483014624; 322619605; 394922916; 63348298; 735565097; 390796695; 563634677; 715247395; 227882378; 61294026; 267953752; 119926016; 115377262; 603255518; 311770221; 423566341; 503882533; 709105784; 49433683; 386337377; 447920777; 571068517; 726647123; 163336759; 419498797; 426984648; 522514998; 772597252; 437780545; 846052733; 429746380; 127024541; 1049218033; 107257481; 302440741; 641615098; 443709349; 33635848; 330494637; 808143676; 84682196; 116557389; 195451394; 439649163; 205338968; 85788305; 828701113; 793749206; 583134631; 428396257; 228723235; 345971272; 514959102; 450701831; 301124391; 130719270; 144720922; 712649786; 548355445; 756028743; 652669061; 882179652; 757638521; 318686434; 325277979; 263229863; 413870875; 406461852; 451813288; 146038519; 1031609441; 134385615; 276582166; 1027919657; 719937522; 831188545; 133574227; 144941481; 147556085; 1020153586; 713590581; 11491425; 546221513; 952969079; 244308769; 154567578; 985943769; 402596305; 875756456; 663864720; 722876584; 402081362; 244800216; 381910949; 1001419734; 910633696; 181388560; 947259569; 925739937; 65380658; 976218077; 148115727; 1032184066; 185723215; 1040693318; 897066000; 511578607; 222012619; 191932396; 782479838; 449937677; 312239925; 14750245; 557914958; 272523431; 912186141; 735823368; 551960768; 117588964; 137169656; 457352735; 766972944; 899034858; 131990386; 11068081; 615011165; 186059582; 106895940; 765067710; 889490798; 33500527; 797434875; 612680266; 472348162; 599265411; 560918860; 454485873; 408307886; 733304386; 220054387; 549928934; 35558532; 106261539; 478723275; 77663607; 299750898; 188293039; 848848755; 46019294; 195790679; 54336459; 459942302; 941528597; 961359999; 699228530; 680311719; 798582703; 202293670; 552681889; 27189795; 891600914; 364464205; 127182809; 233032963; 931192947; 462557772; 48358109; 603605929; 15758545; 1053935510; 83973140; 753773836; 1064095533; 356657727; 657997514; 946590596; 920004638; 59494718; 904731696; 729482536; 191458009; 618248273; 606195141; 604692856; 367449793; 650981688; 325065576; 392595941; 447309883; 802697730; 709495990; 241086049; 709303453; 6389065; 1033784979; 314829287; 354803677; 549605369; 816277203; 7046356; 172262122; 582148401; 133719034; 275292005; 114719780; 262452854; 199430999; 811348115; 854545726; 723846065; 71027100; 670600063; 980855704; 723761422; 215475530; 312011839; 443522189; 318632741; 749720183; 1024069413; 925706474; 1025248027; 1042610099; 208349568; 58412166; 137367358; 622465427; 589032412; 699246252; 996795820; 983996202; 505435993; 105818856; 822341794; 774045627; 230913165; 48180084; 466027360; 133337278; 659158535; 955741059; 1011785759; 389614719; 99765248; 1010135391; 611050819; 279873359; 647682692; 839325431; 379374504; 1039976418; 423541931; 555144711; 932394177; 628469682; 490595045; 29507463; 992826635; 545068863; 81881753; 653480196; 122365322; 808039161; 165322653; 304084513; 513848062; 955167893; 919743575; 371583324; 74112040; 581778920; 156377382; 277621605; 294407116; 682284136; 550988279; 722043343; 138944624; 72049336; 1053870691; 964379335; 464474500; 700474855; 767207898; 451406203; 863198568; 397260593; 989744101; 223468895; 452803909; 825779698; 602349836; 623724615; 193850993; 408584679; 1046594674; 91354592; 894558022; 158161711; 489801088; 176407538; 440042245; 853681414; 746529345; 603993702; 405128822; 869811237; 774954639; 533178008; 1011887076; 284629656; 218111095; 194074917; 381814756; 759023130; 215826975; 855398720; 444981031; 684085391; 368546942; 580510167; 771895385; 124373496; 186143377; 530355561; 690778852; 541509539; 760461271; 532288954; 940140945; 596905075; 601097772; 191569634; 124113281; 497957320; 615986246; 399121091; 829848706; 600307592; 836893211; 50503266; 48804824; 272624543; 885266803; 527356285; 234741713; 1010929624; 911865432; 52062352; 1001732507; 879396282; 334928523; 337323007; 938197054; 806366956; 482446570; 75367035; 152465340; 902668196; 176613386; 218656933; 475170268; 436794859; 530152630; 305635654; 2548956; 309586685; 590252547; 762471787; 213158672; 85249289; 237404933; 443063879; 1021456875; 195562277; 538061016; 611399025; 580176005; 54392240; 567055241; 746039930; 375356270; 245065289; 330864715; 368346738; 209710479; 235163681; 19172316; 757598995; 732337375; 517821285; 150045425; 462079002; 312867764; 160130593; 920728424; 25768903; 758184581; 626733118; 408807117; 894313787; 252094137; 374977328; 206100808; 1023624931; 417196595; 28807363; 311221208; 200690394; 750985897; 611173220; 950206336; 179362647; 70226808; 765096830; 432516560; 422999686; 462066881; 397906213; 763986737; 569820809; 374925571; 289830222; 1065686455; 166097899; 261152673; 501393914; 1057022989; 80361642; 76877967; 285475618; 521244837; 154094654; 809942974; 27450246; 511779542; 120033740; 565533679; 208624654; 905294640; 618986504; 868830568; 1002257732; 833478651; 698633269; 1003380120; 877173480; 682094590; 80177849; 222339480; 1002477972; 411427850; 890467087; 1039195589; 203710183; 548248577; 344325694; 310699077; 378026151; 833625167; 600554335; 688009308; 463553452; 543001541; 958835401; 198560217; 877735405; 271780822; 713665994; 21048468; 589999396; 384679738; 520289560; 939327968; 509884407; 395845629; 320729331; 771328206; 479686880; 531299109; 116344445; 894218624; 33139761; 83002687; 875159351; 1019963991; 47035646; 1017588087; 258798306; 521223669; 708837579; 58592088; 185094567; 302028019; 648479641; 985683865; 355517436; 522121564; 882330510; 860086611; 950641756; 217588537; 278485124; 1061864090; 904317163; 626406480; 393657667; 683708247; 673874877; 478176483; 1004086381; 286770890; 457011515; 155473470; 26153408; 615006597; 1021782526; 51020349; 548561866; 81659214; 122423684; 658533273; 296520168; 7676777; 170820127; 686296513; 698184273; 1042110899; 110112160; 1034218777; 845147986; 114856633; 470300606; 966351729; 756987143; 461915228; 409438825; 259884871; 1001633075; 357822888; 592617519; 421058328; 65422340; 355790427; 962918444; 399896298; 720453711; 185817445; 236445150; 284698310; 56532000; 644993395; 963268035; 921575200; 1054663741; 364109628; 687837644; 1048869406; 144986275; 124476259; 1034128163; 571632316; 426387614; 542396866; 773119332; 204870156; 329746371; 130802286; 9282948; 993016561; 1007073453; 437046025; 261461111; 741366276; 1068515782; 248203354; 232511478; 280370012; 14619669; 905532227; 1065463887; 715118523; 512497694; 463766498; 21216735; 806127231; 692130348; 505419529; 964580560; 277381191; 106963327; 1062935783; 571504110; 999711255; 569532294; 876841504; 369781790; 245194333; 106963935; 1046065864; 238570202; 863655888; 59347599; 881222248; 908641269; 103820961; 38922847; 1069570134; 114891935; 117277107; 482921279; 64577349; 70293087; 142263499; 1046594197; 732862841; 844767270; 621627003; 513469708; 943150666; 901407111; 589567270; 267229595; 88302155; 955823371; 469690093; 1004315634; 833053690; 653818622; 965866867; 663356945; 1066814385; 138296056; 789044570; 702597846; 853968458; 329977402; 394067724; 478238929; 730349751; 206436877; 270505572; 1003810569; 13029267; 840339502; 107173852; 496081825; 132384987; 827548351; 130042065; 555428922; 1000429414; 232208915; 27181869; 302137574; 876981238; 627076693; 753826324; 214830632; 317113434; 784968776; 172239648; 410533331; 1071087680; 780671657; 104394004; 680021198; 736889161; 846803034; 606687057; 678910653; 774073550; 596396972; 703474753; 460964845; 84215785; 650562453; 649031660; 669830830; 626006951; 1020214279; 369201631; 711256595; 29494491; 852372844; 718457988; 226061669; 103070729; 699986837; 729989069; 677237271; 654084115; 166044722; 739114907; 57068219; 853110491; 893671587; 208058744; 947440378; 209616896; 741462671; 624601998; 200020228; 54881095; 350799269; 857360644; 873452907; 550481833; 389246429; 506718823; 153335290; 73046978; 4825618; 143696153; 471921535; 229971217; 52270115; 940391608; 172148644; 930562132; 943367518; 133993892; 327903808; 90787005; 442724511; 255652774; 825892017; 417222485; 187798534; 588661320; 912556969; 893351725; 866736519; 285650617; 901424313; 284087934; 142987179; 886427900; 63545696; 759458751; 1046133884; 651163885; 1059752906; 450910123; 1015225371; 662332635; 923901184; 64510826; 257704301; 977336488; 530737306; 258574947; 433497483; 213110452; 407780797; 746902396; 706432923; 568973969; 558977754; 581353504; 322118784; 598608425; 473090352; 739161557; 152338522; 940001822; 493058826; 826092182; 468578379; 402606502; 67110440; 268582168; 1025364514; 117434532; 633183208; 859039203; 919059604; 219457748; 582792964; 323168761; 542917246; 559484923; 298551566; 335257107; 182329892; 278752259; 674499188; 667671156; 967833131; 273089276; 316905914; 1007870145; 732555666; 571673616; 448180773; 723576484; 888453666; 166896960; 661406538; 475062920; 412945787; 810154674; 183216305; 658684624; 304353174; 345394299; 1066510586; 760600565; 980228961; 564469172; 224471440; 819174685; 898099288; 841090896; 185307559; 545646103; 55758447; 287447298; 585270353; 340839972; 195137710; 414640550; 979586388; 419615981; 1043715044; 506076658; 1006371628; 360900318; 426027108; 454641458; 419112669; 32799924; 274006043; 664833200; 950187378; 190550440; 787393893; 335950449; 214339397; 876092809; 1026001041; 255492776; 455673377; 667942099; 172363978; 509449727; 800221836; 584221107; 227007924; 384927046; 615842158; 970782323; 390517930; 386948301; 330724276; 244826816; 588117989; 268438371; 1011828980; 437093962; 1037574058; 168932223; 318769663; 53167952; 886133749; 54044544; 1051763249; 785776643; 724173150; 634697972; 754765743; 296874131; 503517304; 241680747; 568772923; 799195396; 861148610; 572156850; 1058383112; 756314552; 404543930; 984721619; 175667614; 343366419; 494306055; 265141549; 1004991533; 528608079; 335608; 698326339; 293999178; 856181382; 813224412; 630923212; 129860439; 954160757; 1061371670; 578014452; 828476141; 291685481; 979560536; 888881832; 32295431; 1070236469; 691021827; 250838857; 767943722; 839131683; 383466281; 670156611; 342310109; 29641762; 149516019; 280596288; 310395172; 1021719816; 333722153; 249196475; 969422585; 471627148; 214535741; 407559050; 308795109; 465249890; 890812352; 596981826; 755353024; 446597275; 38035576; 564346464; 693034714; 665846058; 702302204; 701623156; 720543778; 456355757; 67314759; 17561463; 847624974; 669884245; 761535381; 423619681; 272217739; 299779216; 695848636; 14405363; 446379055; 290134774; 233560784; 331248654; 225940606; 492973489; 138032776; 375554425; 713524065; 887360416; 1047110568; 60312959; 921557673; 159023913; 302472813; 418377054; 774753231; 107783551; 427752346; 230798875; 562972279; 224571737; 563309210; 848492982; 46407142; 582160920; 381198507; 1048074215; 34895374; 903650801; 986617162; 562893015; 346397789; 333515282; 128494314; 346994029; 306912323; 1009323147; 808343911; 89485713; 725311947; 599344138; 668045894; 654894863; 881397019; 1015340636; 403244382; 66911532; 940612848; 285505173; 628231711; 858665395; 704895365; 266254918; 494649257; 102697346; 629886824; 191438659; 1071537610; 444423626; 467321022; 496205314; 805777570; 852190733; 360748212; 647662260; 524769106; 834047123; 857405867; 648448009; 188165412; 53898682; 391769269; 833259961; 24092645; 337769629; 500853402; 290279963; 1031606930; 850679101; 380713993; 728200929; 598859427; 375801723; 79560082; 831714819; 741484037; 92776536; 752451013; 381890471; 951493992; 157871740; 941929483; 682286978; 1501099; 829735613; 103425450; 423855946; 1065413555; 191115752; 922433905; 180005072; 83640204; 692369735; 631422562; 152974746; 289708705; 878265617; 773401780; 43185716; 189881569; 795566709; 131435239; 292846081; 14950517; 596739712; 297751561; 561032988; 430841151; 792330812; 203582013; 75321405; 128666756; 557952990; 90697439; 377057087; 354372240; 82175690; 593380917; 343351870; 697318838; 796249600; 176889551; 486006583; 971385734; 628070202; 400212655; 978295637; 613529211; 447475550; 765557200; 509825713; 1028565964; 242175395; 113433425; 467901094; 577437265; 1045190417; 188012388; 977279548; 926393537; 679734802; 320490362; 618560476; 1060962498; 484716180; 80890051; 177372399; 689632913; 914268669; 994750086; 984935546; 1045087359; 501907647; 897762207; 32852022; 421645062; 555912974; 950813177; 175539700; 93438041; 870081168; 670242252; 193101370; 636609540; 417808051; 332598976; 1036492651; 774588571; 341321952; 740450212; 265601421; 501949009; 721847144; 850294297; 180462199; 645595580; 223336305; 543159009; 10616613; 268039621; 791040946; 992800106; 527166246; 138485597; 707392662; 898532942; 125422529; 357856769; 382056651; 650975836; 346229177; 367391117; 327032699; 667948675; 374662594; 631787443; 855066251; 1062731568; 542652899; 314655347; 295029737; 319759597; 363511770; 767022590; 224423759; 792639588; 614954116; 258203788; 1002905781; 1066840586; 689971999; 580621850; 585103213; 769147042; 979885629; 1037695984; 958617882; 443664962; 448177312; 592015790; 743033724; 925811361; 435936778; 123859732; 487760713; 1064795969; 278045742; 317423139; 899553973; 1018352817; 48606556; 699785621; 45771009; 658514801; 917524559; 278310221; 510562639; 116112012; 501883684; 328439777; 685738247; 225514246; 401036466; 867046280; 338401554; 174394357; 356862929; 921107463; 1016427992; 228760825; 848325090; 89655808; 687247608; 426167466; 303860628; 756494523; 537827923; 896012455; 11464617; 895891931; 1024740700; 221555085; 154692654; 28140662; 252037020; 362350055; 1043225107; 536566100; 768120581; 1034622976; 880821931; 461113177; 498918404; 513596997; 931335273; 1016363920; 750558524; 253006923; 263064215; 563374611; 519119727; 446745633; 419498919; 783414203; 421337275; 555433903; 273174911; 823936483; 502799230; 326125995; 1053937693; 55424811; 316513257; 897905874; 486279728; 686400700; 527267365; 1067401407; 892403631; 184230719; 179357330; 991254660; 440546537; 134135716; 197570093; 488495902; 402005243; 455797377; 1041794515; 937419354; 1043050536; 344861054; 496260990; 433383759; 253108288; 847392920; 724393904; 143266583; 26220339; 1047085500; 322191838; 1001047936; 1720292; 790660770; 808903812; 63380626; 458284705; 793109047; 631932608; 927962355; 1046751770; 1001323394; 381004452; 465509189; 762194096; 596021687; 372548668; 22463349; 891499785; 352186268; 795540280; 981445847; 934743931; 984746949; 929612156; 493995993; 212622184; 495715724; 792433855; 132611280; 436776986; 180764259; 473928745; 156994212; 691743024; 624258134; 79439695; 676427131; 210476930; 463532371; 1009542381; 789991936; 981917869; 1011561363; 33742509; 120245798; 805551857; 864006334; 429978995; 413313037; 28504392; 217529955; 712062396; 956404718; 297937168; 458839851; 103978886; 849184792; 84380921; 139299119; 363384676; 420277792; 133392752; 746063248; 458976381; 1063815721; 356692909; 65797623; 496095036; 701726607; 104333936; 87457256; 1012958439; 188729843; 527754465; 913191808; 304615865; 480748996; 541616331; 182234825; 621670953; 620608653; 800453054; 95345893; 633822494; 552467227; 1038558601; 403194337; 721552740; 844123394; 936057768; 84740069; 539950408; 940114864; 530868390; 464303873; 157075164; 662227138; 174358995; 260356119; 377632; 584017741; 762073968; 160653561; 246956998; 287996697; 101414173; 818808214; 412874438; 928601714; 897328446; 381541303; 1000783637; 244783970; 137013161; 1033667528; 601551634; 654805190; 1068577203; 1012655128; 955346447; 505838489; 233153286; 663947240; 824642995; 429986081; 691411006; 1003858255; 1038131152; 1063830782; 941596608; 467686156; 447069681; 977707784; 164666685; 353712651; 102022589; 81136954; 241381304; 465334553; 128585598; 801044677; 492637561; 267287819; 350653986; 53841323; 275620828; 435297898; 1007500031; 278432030; 361420865; 941396136; 61535227; 709460085; 688433605; 745009405; 861440727; 1037098588; 632365052; 863834423; 56266057; 133501493; 431033505; 418467948; 240725639; 819676712; 616984122; 308357956; 423735821; 210799904; 609899765; 352908549; 570665004; 247278671; 1002513307; 592118020; 757262358; 1022353013; 748441919; 994595590; 279401698; 195922953; 970051832; 777752409; 282895476; 854316759; 78890486; 427400588; 25301463; 550070787; 821582810; 369258151; 275019494; 569065600; 68568158; 645046245; 887177899; 1014454972; 400858834; 738237703; 643844211; 94188070; 652419145; 838290530; 908487617; 204549800; 977767185; 397835325; 424921201; 702349664; 377621043; 589639565; 483816360; 456588664; 775465708; 207754115; 119999560; 241003102; 45380763; 799694008; 295414917; 982315280; 193738139; 326124435; 159022191; 72745021; 684683156; 909042058; 872898479; 615477992; 228913724; 993918901; 841119466; 429343560; 500706054; 833434952; 962824370; 231956412; 679598532; 819254127; 706357690; 493052636; 909285465; 1066240868; 465436308; 692284407; 747011234; 145562153; 675279470; 563759516; 1057136980; 409989751; 422391276; 452724169; 944010548; 138370031; 1051952095; 354851081; 301671101; 974334118; 413746851; 423167311; 960004187; 71428811; 314598821; 406197202; 126601440; 920555771; 641798377; 875778622; 589367023; 703912063; 423241285; 267198092; 620565127; 919110847; 230966697; 363591927; 654191233; 63719948; 610998159; 1058077243; 63633495; 276804692; 804438803; 270693024; 492255217; 54305003; 1051560566; 996226988; 382695125; 166410540; 370419350; 1065784376; 358616203; 392510132; 1037341646; 231133674; 817714176; 800204037; 93869537; 617527550; 572695656; 1059284840; 614561707; 969019785; 313818220; 697761100; 1037278782; 996620668; 709723528; 379808724; 206228101; 692339652; 459212153; 865508652; 262566922; 991862361; 352010298; 434928966; 948870206; 919156947; 411770382; 972181553; 753226842; 981943208; 934884012; 397277001; 476443461; 182925099; 819887896; 1018194493; 753511917; 749795054; 821786718; 1017668824; 200626845; 951984072; 54792825; 1022135709; 16253392; 350868868; 451066005; 1006783168; 492288521; 608297885; 1039657507; 13295394; 367876259; 541530326; 536211210; 343317551; 530910622; 25874497; 432894332; 380152411; 96116516; 609636496; 42959479; 223386590; 727467630; 579353600; 852484304; 158371801; 822578339; 957621820; 339510286; 45969271; 657971186; 134189468; 302233816; 889398930; 812865406; 181798558; 902791381; 1032382626; 346272880; 936542973; 1017665666; 731708873; 107190452; 591094150; 825793983; 971158667; 335021124; 267561364; 51014086; 644346149; 446293110; 222674407; 177741287; 882403814; 396068230; 594896406; 690204768; 459530482; 705698683; 1003303088; 675482869; 561369387; 182398285; 755410326; 734091500; 654508917; 897956187; 528195746; 429906235; 568246776; 450641258; 64143774; 281780836; 492451864; 135879607; 156551494; 831828413; 323874830; 579463556; 360304464; 321553338; 902584478; 367415191; 711388039; 752797188; 412458986; 884848339; 669942190; 1070374417; 358863491; 826330871; 448699466; 196300433; 666464823; 471645664; 438169078; 538593328; 174214401; 794085012; 440060895; 653625408; 419464354; 600391767; 127135388; 93201124; 1066104674; 738579446; 357961342; 888981346; 878596025; 54022794; 154101510; 849711449; 903371888; 211157725; 1033920287; 663838193; 778904884; 670945304; 889168742; 574803304; 974765501; 336824991; 320752795; 545966217; 345872396; 838314539; 774954681; 256060007; 885722128; 296015794; 95952660; 635008588; 224255101; 320484866; 258314999; 188581476; 1063262624; 233829878; 659465907; 805435064; 840677942; 655325594; 292693119; 583358114; 891919869; 586512791; 932429804; 239045348; 815354720; 1019477925; 615608251; 179287746; 574020712; 650025785; 564259619; 486111721; 54159303; 728698080; 230180160; 809739162; 645676157; 766542098; 619359264; 133882677; 1015279461; 574127236; 249053203; 738744309; 164304201; 1009700192; 787640767; 204628299; 479794259; 390906737; 386348913; 272245518; 693920659; 823345485; 831610131; 660153183; 643448682; 599557750; 446436300; 43011678; 270515082; 830254729; 185202422; 168898793; 507358805; 400670295; 638207880; 309531408; 177702461; 76430883; 96543589; 74310010; 33918748; 234304998; 133738477; 268171790; 895967785; 1025381772; 166416057; 291064164; 869321838; 951616365; 489569757; 307342422; 525427503; 282794509; 759149170; 412952490; 239513881; 777722266; 772328700; 1014638421; 607589848; 86209874; 500988891; 491164859; 698144817; 839713132; 922353183; 744561645; 859585866; 723665965; 330779267; 22709405; 767928168; 930966864; 668103856; 9300414; 803863423; 20377750; 298219751; 970736444; 970580194; 185389810; 718363462; 575201639; 251832901; 29240656; 489837157; 97250613; 575184564; 989309193; 224846700; 628069331; 594448857; 557798856; 362762569; 386731831; 67967833; 248532625; 722720083; 849201471; 1055009370; 813689509; 116501950; 904188652; 645746057; 761785273; 509168230; 730790136; 887174270; 179052089; 220515843; 47220851; 733104027; 192119119; 777148107; 423958156; 450945140; 27498533; 126927347; 718973373; 1006498809; 120022890; 100192282; 1015597300; 628615825; 599576147; 226515203; 737955796; 952329672; 190227882; 285140049; 91049903; 950452657; 712863718; 448901700; 347290225; 761797377; 480138299; 911440629; 488393650; 785238098; 1059623900; 53691141; 975779442; 439940254; 675968865; 671803819; 383202127; 63056873; 239468413; 186437688; 700338123; 415434674; 688185010; 900273847; 518965131; 643389615; 500765151; 521387470; 223324879; 333352734; 692508324; 259899329; 257341203; 1000113217; 724515380; 170725428; 332657036; 343663833; 1066524710; 167808223; 314739952; 636109906; 645137997; 636617296; 765894886; 107929178; 433281235; 24632200; 390583750; 801460882; 361673871; 723411003; 122515791; 653078755; 277611742; 907520147; 179408576; 487603619; 379952592; 887898320; 1030787084; 434212410; 1010516010; 804292382; 42352411; 968085068; 257274596; 878368937; 552019924; 1010866928; 837656688; 473938539; 236346289; 465238104; 456839329; 562539945; 122811936; 743209581; 989193272; 459851641; 1072585037; 887468846; 644130297; 434798555; 529595430; 402036958; 239578044; 397403904; 459099580; 381219346; 455867306; 305395620; 314663312; 372492071; 705182071; 176084970; 742593083; 369372310; 385092476; 784245735; 90453662; 545150549; 587401693; 1055161273; 436731699; 264231014; 597411511; 238482822; 1070974889; 347530751; 316408142; 245422535; 345160732; 28358118; 956937677; 463010339; 696009814; 467753630; 1069056661; 1009998761; 1044065474; 1006727979; 1018876804; 217916360; 498901059; 846568871; 514439708; 649212983; 191698701; 332676152; 57581945; 287494097; 1047217567; 389023103; 115774929; 165799899; 500077334; 750487585; 712030870; 56062205; 226402275; 282778573; 245513402; 90582762; 859071064; 817480597; 237134851; 396219492; 795828217; 788459872; 170149627; 307916536; 348804071; 696181437; 389030626; 384940847; 482359537; 947800793; 484825506; 200931955; 183370730; 118641908; 868822664; 168145684; 393403891; 74039895; 1041038760; 800001546; 772959761; 577290136; 580143572; 298972055; 643038559; 492624584; 384375808; 328987018; 333611350; 744273522; 405808875; 837513333; 866337037; 217546563; 293834001; 924783532; 717910058; 669799555; 101623486; 384292845; 293507892; 484877085; 155034521; 1014143568; 203104000; 786076940; 711513063; 315848247; 514527798; 750367504; 979257881; 42187484; 442529166; 626510851; 876297249; 999902490; 314209145; 442130613; 602614112; 641132960; 1041701719; 247665526; 1001640055; 490874065; 489175045; 851795276; 147009814; 910270137; 740205382; 402657155; 308355160; 1029284824; 553552110; 727367322; 723043485; 260671052; 597542353; 731107035; 908630362; 896840146; 520169241; 889306387; 748837840; 94664940; 172650965; 656987471; 74758820; 39927673; 799807117; 167601277; 946052205; 212462477; 35767517; 375122616; 848356531; 80925718; 994735791; 122563223; 740432717; 923753953; 1047385421; 445487238; 714867163; 733376989; 384592290; 230286191; 677566021; 904049355; 663610071; 744940522; 274702701; 562122594; 1069087123; 1014052926; 804423792; 1016660886; 560042243; 798229573; 783116077; 565761104; 743124481; 129382995; 116972168; 553830057; 2383527; 723073643; 252675710; 140161188; 761087180; 425458716; 654796490; 701651657; 682771709; 20131398; 524261085; 645627200; 723255544; 850658097; 968296376; 981563590; 371733007; 241946711; 143309270; 149728705; 476893440; 21716489; 935004590; 497971061; 267418669; 41684394; 588991486; 146736; 465031498; 92479448; 55865962; 234853702; 665106777; 987881051; 677197486; 930334380; 690143585; 89651317; 882519320; 372991182; 471493125; 703425159; 15186520; 276345549; 667830966; 22928700; 90339783; 119660185; 288244056; 599457337; 474751040; 791981419; 925825812; 85659544; 994421949; 50988103; 297610107; 161736979; 251439916; 700604506; 200740589; 372250943; 578585121; 487930184; 177476448; 965255760; 749263208; 972721003; 202397200; 673616332; 916442384; 1059313938; 377170655; 888724594; 1066472215; 852825296; 14891202; 835287739; 342025837; 150889565; 957844249; 21575573; 988529064; 19679391; 978989665; 206660447; 927966804; 1039022479; 82903383; 1073723921; 413363370; 635004441; 905012754; 300074932; 851056339; 13226969; 161580105; 684273989; 760435468; 953257896; 256778108; 794142967; 17594313; 239929789; 914671502; 654765158; 472816385; 32019845; 967744641; 46858755; 276812197; 649266303; 914089722; 915126936; 882949987; 902639571; 504806603; 393173059; 1012655990; 396462092; 12646638; 603741156; 573343756; 348441405; 562894389; 1041548768; 746998081; 595446056; 633042801; 210638733; 862054237; 860476294; 450877781; 1030174094; 180084903; 310075135; 413877806; 14913924; 642450580; 285198355; 811608823; 775588660; 655288890; 1064897048; 739238101; 341260192; 504245924; 770329822; 453122195; 914917975; 128601017; 402404899; 991909022; 420185016; 3534476; 272631986; 345229212; 30473193; 129383809; 654758202; 241368151; 364198249; 1069908446; 156732572; 742904643; 382005100; 182211068; 179580244; 324258984; 980180671; 910913373; 1020898193; 221778885; 549854002; 1050397752; 359887476; 632575936; 262800171; 307946093; 733149615; 13905122; 425055052; 971753548; 412614297; 382234674; 763116326; 1025156313; 581866611; 840109277; 498734979; 383018106; 714853410; 940749674; 284155732; 1011980063; 959318970; 639117519; 24425803; 349516640; 843576688; 522247218; 371231003; 294347276; 219520148; 393804603; 678730615; 221320402; 923014740; 91420608; 110649585; 358653766; 1055191047; 246859260; 977133568; 101086808; 131029216; 1012539106; 434997382; 187732718; 1069207357; 423199634; 192665257; 628136555; 1048027477; 433387676; 1031180547; 414586394; 149758390; 138222210; 621579239; 165782947; 556957881; 481788675; 907618753; 271153959; 646857643; 608966389; 87968140; 716710670; 1070595904; 781097695; 868169937; 160021008; 321178122; 149182295; 477409156; 228256503; 689058997; 226372800; 656308709; 802955696; 868986618; 88141700; 4850311; 32335708; 765983219; 8703768; 646475916; 495090158; 494561101; 899189951; 1068018678; 568590241; 577700425; 60430263; 572209740; 164364386; 973484600; 350708203; 414323624; 330364373; 595647891; 290004318; 559073001; 484630635; 194199443; 215956100; 335755613; 1070902125; 244996593; 134867960; 64947491; 16296739; 256538956; 779996088; 1004876625; 908109253; 74716054; 334998862; 108580137; 15380794; 769704661; 177267704; 766201862; 284865969; 883903664; 755209214; 133502579; 823250886; 886718798; 1021344903; 142103055; 984020849; 186923321; 33927631; 616627495; 962079094; 199118359; 251107283; 111639277; 488717330; 416397457; 217668120; 304693675; 858645251; 935411467; 148876978; 913534386; 972832999; 83953552; 540781720; 1032941380; 794133099; 275316071; 1010412277; 205580733; 627357998; 423838346; 957760237; 538516914; 328346062; 418598340; 267382655; 49641000; 147547860; 602254746; 737110888; 990960882; 619821904; 492340799; 930750440; 932019732; 438293107; 869294606; 602892221; 439779251; 280014432; 10436348; 547566600; 398197196; 713916719; 317528086; 882472060; 528733562; 129816452; 1022034034; 584938682; 447000133; 138879385; 215844555; 431492141; 366835749; 134348283; 926745574; 436176675; 171375019; 196928162; 505307417; 411434676; 61687949; 820599070; 782585955; 316282549; 267723643; 133187555; 819009343; 690802828; 762642321; 868526626; 470400621; 353598526; 957478071; 902341361; 167438543; 140343802; 558583766; 572534929; 920327045; 223127201; 20176466; 540314063; 154681766; 10433793; 398868561; 449362990; 353360295; 700320226; 544134995; 536301469; 704016525; 735086843; 414827198; 1064347032; 624632089; 142502801; 405203438; 557682088; 848954790; 594373819; 674275616; 813320454; 699749648; 727676494; 487548358; 776565909; 950684364; 1026264473; 231564947; 427854626; 532242574; 748300508; 356428934; 558371918; 832843754; 554993335; 340308667; 374345180; 236304367; 61618518; 553902679; 926884276; 351565075; 880757570; 586244503; 811157184; 416524198; 800309567; 238776695; 929971869; 610180326; 252934726; 293677600; 211250892; 420931408; 371040712; 562314098; 174530347; 1008527592; 856686797; 929642718; 1041967396; 500697223; 773115926; 607051876; 875389000; 707063876; 85199920; 521717224; 200275662; 571392814; 197043538; 743009924; 101120951; 750071970; 687943304; 946205446; 540168947; 499815950; 69627489; 437222119; 360287111; 504826792; 20136572; 343492714; 837941713; 488636972; 405390602; 305520856; 332895763; 798725541; 1061107519; 402926695; 868623552; 241670912; 1069447323; 587338097; 434399300; 171220493; 494460229; 529962389; 683277584; 59908756; 404106280; 273437229; 10764221; 111148795; 147210517; 541027375; 882287666; 912174723; 467480947; 318701200; 924219589; 849730169; 549307968; 579886067; 930376842; 234173295; 11901850; 453893863; 917144763; 864522912; 225591924; 579962236; 885376414; 6687938; 756161990; 532945844; 167335564; 435210981; 432890595; 648895630; 919153485; 732074930; 221709153; 998729887; 876045965; 849453155; 783498627; 783015112; 905567502; 851580765; 51179115; 892629161; 93431578; 663031811; 636673007; 261740026; 1017755761; 660050766; 296859907; 1004139496; 807859217; 888651941; 798430801; 138528515; 341656823; 221028257; 553124226; 314214356; 727379195; 388623195; 612207846; 874637410; 491495855; 661303425; 33290705; 218218781; 316612413; 333445934; 428551884; 50120547; 772115235; 189286482; 531294200; 116608450; 560731266; 406650872; 427865876; 482680846; 12578305; 363955410; 551009596; 1068572621; 62635771; 785622335; 430985294; 368414914; 212735135; 769083439; 761484974; 1059746514; 1019265020; 767294788; 252376358; 439135759; 969344712; 854879463; 506797946; 722724014; 1045200124; 295282335; 462386862; 755010560; 585167785; 387321470; 1041460957; 198859270; 1062382440; 980186993; 533624793; 100784864; 193617138; 300967292; 754194875; 1043448305; 569496556; 564920383; 389037134; 396144008; 801108607; 981292965; 835185480; 617160449; 789937566; 875889870; 228365370; 811151078; 503574309; 840240675; 437899496; 426040818; 567519330; 504839001; 233010383; 150799029; 683407665; 202046625; 994580732; 212537299; 201398884; 823466930; 1071087954; 726812974; 177260116; 849486495; 673751562; 214346209; 786217289; 799035672; 955007426; 947346693; 551128903; 600761450; 936794259; 91315169; 403109552; 946318324; 162479615; 425607808; 1029131055; 943339270; 394987533; 486339900; 228178428; 570222764; 776774401; 717573347; 384398594; 219945383; 606289575; 505710876; 537878075; 40697377; 979687818; 11354089; 168936506; 381450157; 1054915885; 842563879; 578444921; 37199651; 874307453; 533122808; 334254737; 920177715; 733306397; 1050339349; 208716456; 859629753; 677240195; 1062493866; 270933699; 670603950; 891182450; 983911539; 460165822; 62477956; 660465493; 384678188; 675733158; 1066202976; 225283710; 373023201; 704456059; 170837334; 599781850; 209954676; 565455998; 722650999; 761283181; 96808970; 507583271; 330074058; 284809950; 569033246; 405597991; 330105892; 915253336; 428068878; 1057613452; 827127064; 236843928; 580027674; 434168537; 777822113; 288005971; 16155543; 352241225; 483197622; 322916368; 82227734; 472534817; 435507193; 272577944; 1052994891; 676164594; 516895219; 647077902; 98258077; 635465928; 489455756; 142318974; 172049384; 136307330; 571576504; 263895969; 109495407; 140899741; 911760778; 787252942; 309908000; 736716646; 50697780; 265582380; 579455371; 528749600; 223157985; 153462194; 394302338; 26792985; 620309548; 903173105; 676496720; 290683006; 556286495; 336727023; 813194274; 818270313; 1056615050; 407728553; 313630715; 502621652; 838457258; 194356215; 838773520; 1064761169; 852968132; 58304576; 462018919; 777059193; 884319037; 537954911; 788837954; 450406381; 433987193; 619091587; 531928883; 895591788; 400322153; 679084664; 890240276; 467422155; 381293989; 510048043; 336200098; 625785681; 945739565; 773243481; 323228727; 344309794; 80524231; 585927153; 6489985; 844526913; 380271702; 41225779; 621933918; 39527625; 742407790; 364669856; 994176676; 573601274; 678685619; 829871242; 209098488; 1060409795; 878449856; 714855339; 540687231; 4308721; 703854187; 871518017; 663648871; 14222638; 203423771; 807898425; 874241702; 876435549; 814509016; 306928328; 315151052; 641362204; 224648030; 940723655; 343617625; 850491797; 316503954; 712773209; 637938804; 865354138; 745023319; 587925896; 997167614; 1044773065; 619422544; 37225012; 228371330; 577999576; 549213977; 278262456; 703963911; 690442349; 656786361; 6958800; 995772879; 457501855; 95085451; 487052544; 699076391; 852654453; 104065082; 294605166; 408592502; 184287135; 952557069; 971694800; 534051101; 516224397; 149402368; 195172989; 1007716131; 95557150; 1072042189; 331977650; 755043624; 281600536; 540133137; 886057863; 852704211; 129785267; 1011956126; 662429689; 404012473; 939765650; 654241186; 585143382; 726087177; 535565731; 567461354; 172208288; 395743502; 338646458; 623980136; 1048470922; 242585663; 805767460; 17097144; 7333419; 267850667; 398582156; 678374612; 623110215; 151797608; 872644098; 545598361; 148813981; 187339517; 944870852; 68119332; 148724641; 918856485; 856862897; 441456641; 245734046; 245128250; 839429113; 756922062; 1014849947; 829531592; 213901564; 836784376; 536790010; 408486454; 571633256; 765160056; 31819118; 898306677; 349144117; 817181226; 977351489; 796749303; 635461919; 1003942487; 634504180; 261099094; 296496923; 10399904; 991564055; 767719976; 762548238; 1045411075; 574970138; 937129965; 594266133; 626725676; 528316775; 915634449; 65433875; 129020818; 284296130; 594837473; 534520715; 870334012; 537085007; 298512479; 1034617717; 859497851; 748408741; 943219323; 282612460; 468703473; 502636727; 297891829; 1042031744; 432606154; 241901579; 652998192; 866001408; 397755785; 263795613; 604600965; 82795361; 779972763; 980131046; 186388875; 971987167; 390707714; 429763448; 228635974; 512904522; 742869325; 179217745; 652037981; 5046327; 225474837; 781632784; 89959278; 304178820; 1013274371; 1049976485; 511846242; 878892156; 278795456; 44609704; 2887956; 873335482; 716092768; 755269066; 549219151; 346255255; 316473422; 934122228; 735826939; 58423189; 1021358575; 545784765; 750577447; 1039454940; 632895628; 590403420; 641246906; 880696461; 483650097; 944177489; 1001147836; 400763030; 809070912; 543468061; 901434459; 332061649; 857685041; 419225483; 76415047; 492266521; 387980770; 208749317; 531794895; 346874400; 973916628; 775413391; 1071505268; 570104728; 350395290; 655519674; 591655646; 883778030; 699947645; 247262490; 41621731; 672864327; 539420991; 191949044; 903814919; 848600663; 485270459; 421713195; 121981515; 692034917; 817393754; 810340951; 80378458; 870000658; 737955423; 159527500; 359576690; 489996573; 395575769; 272694145; 164426733; 382912777; 382829288; 928103313; 143053989; 947444918; 572059651; 250097009; 27434402; 102454794; 750840101; 1013623701; 973405941; 541807660; 1027278760; 456279927; 922784255; 108160330; 100419815; 218970466; 247312427; 86334510; 578901618; 187346077; 382410309; 932761858; 691133424; 633371160; 1053806794; 435909468; 306998189; 597173092; 959628309; 370694856; 321448086; 836931200; 140695634; 27255135; 209671378; 187664827; 36706721; 931741041; 991693917; 489338487; 788124687; 459912632; 354468584; 747541380; 946731891; 1002832786; 787690494; 911779931; 29722065; 391276728; 728394008; 544563415; 312556704; 341863079; 162325081; 256566413; 588697225; 212766246; 55698814; 1043891647; 686330984; 476367149; 1052481592; 934326580; 704462365; 452924525; 787407656; 484571779; 1037851148; 1071742715; 446999432; 939159310; 679251629; 487546488; 1061605925; 404104901; 325122896; 46849151; 940952726; 920566477; 409077150; 935824046; 901980100; 197219510; 913229292; 108358765; 778297147; 724495114; 935695802; 899329380; 336593667; 87431418; 192039405; 436055388; 781232800; 257467150; 464842619; 91856229; 400575769; 851804430; 672538945; 733544177; 264980418; 714261269; 995901523; 829157686; 450552263; 412864741; 123895439; 319524377; 721933223; 755258630; 1053530434; 20962995; 493722048; 430549101; 922759635; 47768055; 873911144; 449863829; 905361792; 425400225; 544083837; 761903; 695211617; 368718488; 320393399; 204811900; 1037953865; 454472222; 485963546; 294275489; 888579965; 366378358; 213396766; 535869701; 710505452; 104127113; 568318911; 947871555; 428333582; 287565838; 703628925; 303915822; 827322077; 670111708; 563298966; 549925589; 101040393; 592403691; 914409016; 1047289445; 943079894; 562179867; 767973941; 192780627; 418613544; 512373618; 207818330; 612161525; 850710472; 960277835; 581520060; 455402829; 782929649; 673722445; 15366619; 144087543; 933697570; 60012969; 26838533; 341664922; 414200412; 446435583; 502022593; 545988553; 437029698; 994949358; 468002637; 654448166; 429062444; 150055308; 1062279619; 795079771; 538626681; 792646921; 810653287; 732448784; 957651148; 613743176; 975033116; 341061147; 875301686; 286721221; 452583222; 57911720; 476765734; 466123058; 911109093; 120651917; 950956767; 426126018; 111701440; 310137940; 607220445; 1017297650; 494546370; 1044246112; 832556830; 414650943; 132919338; 579138528; 280884123; 893954867; 17028428; 59622137; 230218638; 239043034; 374080686; 980017129; 4563233; 802696248; 759783587; 899549691; 814313714; 250948351; 659614853; 109183117; 969673959; 22827694; 92479424; 852940465; 131157721; 829253075; 833639688; 891924121; 904509428; 313893164; 747759802; 366767173; 500687749; 784835272; 482249307; 934019042; 157276080; 479815946; 1034017963; 875929100; 127440701; 380754671; 493810663; 815660997; 168330129; 538204631; 946244721; 971186988; 847402253; 631777164; 594672200; 879275411; 68664362; 105365294; 702323362; 932982845; 969005031; 666422844; 195529186; 207589927; 959231450; 371601952; 329679619; 1007852388; 137110913; 986369609; 148595448; 580042304; 729422693; 441703726; 591394442; 549539687; 867175254; 843542788; 313128946; 713465895; 433193169; 884112420; 440213924; 996514941; 230926916; 348226842; 429622183; 76715670; 805842674; 370214188; 583837201; 569880039; 569982052; 342095524; 492848765; 963612534; 162312038; 882068600; 341042618; 180788163; 611925305; 981437369; 666517883; 484402003; 44533126; 245546625; 290418270; 550590099; 791852021; 871982090; 429764413; 169475005; 23658501; 225653646; 691206521; 301827139; 1067919643; 792387652; 153629998; 769070818; 894187976; 600562192; 539495544; 803272542; 850671780; 710386749; 700279584; 202602923; 844793774; 406857994; 410205492; 8851356; 884923370; 694346465; 797070996; 501057875; 635392942; 447769440; 811638588; 13824574; 309223351; 650034235; 577315997; 191315699; 1057987268; 718172183; 227241956; 723235419; 339167619; 341040242; 592868019; 283321335; 913221699; 609792783; 930304388; 341101382; 588931383; 32773706; 841053356; 1027559126; 792431570; 601012787; 274668364; 164426970; 548676020; 414154130; 560342543; 1011089277; 1034706507; 730618215; 173162733; 265091420; 367078926; 385250075; 762064615; 150853302; 709075589; 12671855; 1036916230; 850447802; 827610112; 618411753; 397230507; 1072653967; 918810664; 599625586; 245630470; 1008624089; 536107920; 971119025; 633660043; 51131605; 989746268; 242898946; 883219084; 595226717; 61784947; 1001576117; 362846251; 441914443; 545514373; 383206022; 765639675; 473887399; 161335581; 843014820; 632558860; 679357781; 179439663; 292058972; 1021068936; 677493472; 478252662; 814355274; 798326926; 619232423; 430912647; 854434797; 117621537; 450119915; 1029610662; 322527710; 1071104221; 122274522; 593010762; 59513923; 233833122; 642300018; 586937579; 626173101; 918756106; 643932660; 390646209; 969431359; 202705456; 642820895; 263344724; 468438260; 968939694; 988365495; 276704255; 218912379; 994600036; 4671294; 522613270; 1032049620; 693928751; 975089566; 52996808; 998987668; 976404500; 568395657; 741277068; 759596623; 133343644; 681353800; 161942884; 374165822; 729401761; 939193655; 768763682; 575527793; 802499578; 721854190; 710478251; 272239031; 151028808; 143988085; 51115672; 791685018; 431244420; 87044372; 678605197; 372898158; 716523139; 944128389; 416503080; 25160492; 747546258; 1000149427; 274110448; 948241592; 821354004; 1040326030; 867686300; 309760993; 1033617202; 26309637; 278162525; 545925198; 377952058; 786560788; 450361752; 753887204; 795382468; 567939613; 706450531; 994430655; 373295155; 440795933; 866427908; 785949712; 868797155; 131106745; 23424072; 56400620; 620910674; 946143746; 863977715; 297092575; 298081232; 686332113; 640699178; 600472232; 1013845390; 409237062; 967858009; 874667579; 755571169; 380198665; 319706531; 779521839; 871776611; 657139038; 451052856; 201083310; 1048641356; 146015303; 687516025; 500405073; 261695849; 56280649; 1013736838; 1069148567; 261357034; 665549793; 425938032; 967734190; 928049873; 1018519809; 483428753; 96651309; 556998718; 156099475; 594912181; 162004548; 432779581; 711488096; 898443478; 103138204; 54285331; 504647630; 711184934; 388458240; 168039539; 643735225; 660713619; 525795701; 313775332; 249700440; 426276507; 1003731575; 846328369; 376413528; 1011159271; 137189927; 779160051; 125888995; 129249315; 120976416; 861060075; 619769226; 793511625; 59597715; 894647336; 503652011; 402650282; 640612120; 928850663; 12578911; 429322984; 931299723; 737737308; 256662035; 772956704; 555131711; 367206143; 965843840; 652418319; 398549360; 314011001; 982277714; 82378732; 454778387; 28197703; 597865891; 706899717; 779591460; 564719438; 414822471; 412109216; 317041980; 749016581; 145292932; 314514565; 198073692; 276682216; 788271800; 140168040; 633693401; 256010610; 228530356; 988173383; 594957898; 841040500; 876363276; 948580115; 645484822; 1023617652; 940089880; 895728162; 521653262; 858296213; 163315590; 464843572; 962436542; 622011421; 399934979; 228355312; 673638551; 730965985; 298422099; 441712360; 493757125; 3313440; 920295448; 613697168; 573389169; 927349970; 186257295; 91429226; 845501315; 356586480; 803078650; 548385046; 129727453; 202940742; 676070509; 71647328; 13384946; 660274678; 162925453; 574962400; 17157891; 456884067; 23216374; 369743835; 690717543; 94639130; 578356319; 617210212; 811144749; 167882818; 551691946; 8363226; 191840495; 517802559; 507655345; 771680398; 505255801; 474779439; 784490897; 1032784903; 304875547; 97840714; 74278009; 86232834; 470028908; 316065013; 945871551; 116209686; 520423587; 31626141; 266741027; 625578867; 45291678; 266263599; 887034639; 782932169; 538361454; 209660862; 1041839540; 699442334; 489711126; 171392492; 796404989; 706697825; 418928422; 1050717101; 1051130980; 890577237; 755833928; 466724907; 33020944; 273733917; 542243156; 193421747; 520794799; 505764841; 891402438; 575755945; 721247646; 852727771; 642692503; 570861799; 777411122; 1023759126; 969582535; 458802861; 622834008; 778047938; 689835576; 993265714; 229136601; 274968365; 523514657; 911636576; 211133037; 207528276; 510717050; 71004226; 411888394; 839195093; 403335729; 713863667; 630693; 791655976; 584016587; 79040474; 321775259; 1003359936; 241512886; 509528610; 912532693; 1043125524; 579543695; 677940584; 312657819; 449532834; 713074891; 675562289; 978681860; 136860953; 560482385; 936699343; 552137251; 109513538; 296223280; 714802198; 153328487; 273903385; 285671782; 471889488; 1027496237; 145805854; 1037940821; 782306786; 798805459; 983340405; 508136201; 163929425; 10868915; 60138980; 850782151; 172505876; 629010224; 636370077; 303185921; 309115393; 583229677; 471970835; 517837017; 729059686; 49564072; 523274953; 855351505; 37891324; 301346921; 47887545; 917305154; 499932396; 635397421; 640320683; 679617537; 583502526; 400397459; 402118615; 513640683; 20083287; 192018650; 435665920; 912629183; 42093938; 333142722; 984982327; 305705336; 985283083; 522662271; 603058918; 432587620; 429049001; 853806285; 67068254; 644853228; 1013855250; 560553298; 457229100; 840751078; 879058794; 1031761788; 651636066; 892507720; 379113127; 170501321; 656217236; 188614422; 590434480; 431858542; 305680735; 651873924; 263031826; 977352927; 923682663; 71024602; 482684793; 499217377; 304685739; 100113067; 945965536; 305942388; 250465276; 631633358; 826351519; 579462461; 1068989066; 477819476; 253013449; 441444527; 529487946; 717285525; 498915544; 683946760; 279604567; 130823886; 515582723; 93665250; 252922077; 431623414; 684147149; 317730904; 501832325; 12023079; 1031586340; 1010089781; 91537063; 891695120; 847225085; 574818873; 378050907; 381588376; 862533310; 383022601; 352281071; 521115922; 141211734; 732837623; 30262832; 46364043; 1066293939; 832146950; 863804015; 741911300; 806772322; 664665098; 790039244; 860393446; 37733165; 212505773; 1072374156; 925854208; 779971978; 721440126; 1052577670; 897739676; 418339284; 972435457; 13695525; 707430384; 15200785; 830137053; 118471989; 386120584; 485715587; 482323797; 175493769; 112223766; 813618058; 203118644; 58250932; 878237427; 973632316; 762670058; 653594689; 76396221; 2600139; 519803303; 419368491; 11597895; 860136287; 819434310; 943290421; 407775588; 95599123; 85745289; 854778286; 71162730; 150307315; 392564867; 33047491; 48621346; 631848306; 575031969; 55255877; 182738686; 89404649; 462633967; 405882994; 342235732; 229024511; 358095407; 534023967; 824428082; 695722909; 924862998; 400480785; 779504354; 113844878; 115929367; 755623454; 481108565; 85015329; 256309822; 1009129543; 473344947; 293001345; 638119004; 762733171; 791406643; 759337047; 164109575; 632714472; 1067273099; 368497504; 441987419; 618795450; 157013142; 619412745; 167588348; 964988100; 50868982; 728704473; 141295766; 487236461; 113110486; 148938232; 253473172; 334854223; 541249304; 114257789; 905550109; 147844111; 193925324; 639952379; 472045992; 917032415; 59141476; 851480426; 1064719646; 72810626; 253588703; 356626828; 53323248; 519351128; 584362775; 402937417; 822507350; 212249269; 399037537; 390028237; 774891117; 140204697; 355742210; 1048037539; 24378091; 341726887; 1038749084; 483794979; 560316453; 870123015; 78003697; 538341269; 205119591; 649670026; 926492334; 459570479; 261329213; 851167532; 981450346; 666688547; 1046925497; 966186894; 596259615; 884587911; 369911649; 378685194; 205566690; 393060679; 631802502; 844089632; 901152425; 958214527; 823737482; 100171273; 282274465; 721319696; 131514185; 839862963; 9867541; 330676416; 1027503418; 312010816; 144756217; 902234203; 738066640; 992041201; 736081947; 682491173; 318668999; 445055006; 146876189; 395703406; 235839590; 715624348; 724564659; 845341653; 872024483; 562712205; 422356356; 580467739; 982051649; 465959938; 467664020; 321096815; 911109142; 403292731; 255769949; 147210377; 447839333; 1072854626; 663894788; 396963629; 1040950013; 451061957; 835814171; 562389070; 458735200; 386957577; 336516220; 990755065; 636756945; 1035306235; 732891966; 871040960; 184126021; 655125525; 349410057; 527976048; 1025279428; 480124369; 610319476; 839946196; 618610788; 80827310; 880770155; 664745242; 1030647114; 1005367599; 551822565; 550801323; 401630645; 18622397; 429724632; 120133892; 186083724; 43357964; 661263474; 207532659; 783037369; 417975238; 88089936; 938409643; 27169417; 677966919; 843348271; 342574847; 361325549; 777761366; 478289634; 15622923; 729983607; 304286762; 1040111419; 677847119; 858980650; 129629994; 731726271; 189926430; 54085983; 145891121; 596854825; 671714308; 223468268; 251811619; 848197113; 939477824; 282998639; 1010166962; 925342667; 60637095; 328679538; 633537705; 271084585; 271316434; 830417153; 56083265; 783813840; 312992706; 789419274; 138523134; 17905159; 864490489; 474751086; 862376564; 871106521; 207650260; 964355688; 758957101; 755408160; 501691220; 929207523; 773783731; 756138427; 238849596; 861014429; 895741948; 903823463; 71771650; 132496510; 720298211; 697926731; 505768645; 835513769; 148781128; 453707322; 388478315; 543428421; 179026295; 1023404562; 806952085; 225417715; 72567943; 920042562; 1047715393; 291825483; 318673661; 411718483; 894783090; 308848447; 531315390; 654516045; 520463711; 171754813; 695854302; 256882434; 376094104; 644607082; 547404018; 506350353; 982751398; 1001842046; 770446849; 878996444; 916168282; 1002786686; 91885474; 927507237; 300717614; 527997529; 984541058; 533082688; 423162053; 100856502; 149241134; 586674079; 859931893; 558808951; 105381902; 234829067; 574247061; 619598410; 432827963; 91215651; 293800773; 738888513; 348109730; 385793593; 350568150; 143490285; 393140658; 854134521; 943205879; 488797816; 654814966; 189271469; 909666882; 671465911; 356960806; 731049662; 158520169; 950236204; 115727545; 801810259; 569162576; 42373541; 942794554; 59232315; 260510513; 19518441; 355737098; 80471472; 282086925; 883488772; 576044979; 1040612456; 1070380534; 512150845; 583433553; 195887541; 1070322445; 1065508000; 866537880; 684063579; 765641712; 682743728; 590927684; 869527640; 718490805; 729071584; 595563738; 1022510703; 1052342522; 259673785; 190193581; 306073238; 1017463416; 95323497; 741733824; 738011969; 457161914; 369867885; 616791104; 255046983; 994358053; 479490779; 930514437; 487563544; 211808234; 977881633; 413794183; 888351631; 635913259; 588689708; 57968903; 200012248; 953316836; 44394599; 51303032; 661389942; 420187935; 51920348; 793677126; 912684187; 249010208; 361847080; 139727919; 479254141; 383172118; 1031141473; 489466908; 807108128; 119008897; 140255800; 281325516; 588534491; 89527765; 215355426; 1036824451; 590098159; 226660196; 136773170; 819504173; 859033539; 589680448; 549544885; 743150336; 607982914; 825089214; 1055364119; 572395602; 504587822; 690110530; 299042780; 92210322; 508548829; 553740306; 800913029; 522137814; 913690554; 380836745; 548224790; 221555002; 261377790; 714955501; 386643516; 929900783; 652518667; 884758616; 598964822; 852534960; 8780457; 310339698; 995626185; 356032573; 93665080; 264769909; 573121454; 233632272; 467437055; 828627942; 360215891; 1050800872; 462417864; 986481336; 931444236; 324827871; 18220275; 814440555; 940540832; 89044248; 180647348; 638884069; 34833901; 766904212; 217824663; 903260505; 856048479; 179349657; 51658117; 462115930; 44813812; 331594970; 101710134; 493235302; 474225767; 185299884; 620157477; 468501738; 893806654; 301711602; 12383558; 435903869; 448281264; 705422495; 267957514; 525085793; 892233534; 905458300; 358122550; 911579617; 305377021; 839364785; 377769385; 150818362; 447101392; 546812686; 444240684; 692905027; 235947913; 516871031; 458318354; 34716876; 909321386; 435134782; 727746869; 783478401; 429171999; 1067977426; 439122106; 878854193; 185652932; 654468316; 904273159; 219068703; 885620946; 440462326; 608775410; 189118440; 380117377; 771974242; 737808689; 479532299; 458979092; 794997965; 855111846; 534862640; 975384227; 823558782; 311487225; 740427043; 604524529; 866077752; 500687258; 464386767; 868635325; 76030977; 369004405; 1007587310; 98241403; 796430293; 1019581602; 195389520; 946204186; 16345525; 126627351; 395123312; 42834544; 592088658; 687856172; 696919775; 361677063; 507822652; 718922326; 496315300; 849592307; 674872323; 297583271; 365513344; 760467875; 315494775; 792043501; 871172797; 702949272; 386921259; 923035840; 386589242; 546158509; 71907203; 985487624; 946126591; 602449543; 248961387; 935599791; 527207026; 833613395; 105804296; 1073450275; 561919740; 162204355; 980280468; 904898346; 523372344; 301629353; 915447246; 513190344; 654776029; 7603486; 303407867; 893448030; 923024926; 357488544; 183193063; 2991835; 593741461; 118309384; 574360291; 187649551; 46235907; 407495351; 290375455; 119183301; 687752533; 239619242; 262493397; 577745025; 55623623; 863723316; 252189335; 60439901; 113802181; 404128047; 1019817969; 939961055; 312843906; 854748878; 541546908; 783550014; 1064040164; 944475006; 386738587; 100257068; 957780223; 982951463; 826842511; 175098482; 847347179; 666196518; 973463794; 413081713; 800417280; 181558549; 88989101; 244936010; 559098856; 330798601; 914750221; 272962706; 447817577; 789371523; 1068367461; 1032488964; 723568925; 340434397; 1048978727; 211203627; 11290588; 293244793; 927447219; 453895654; 840288030; 320950654; 826294647; 536879900; 129635782; 600358390; 340966992; 870904270; 604960822; 572296274; 708566527; 1010589577; 197183541; 662045911; 331701292; 1041693938; 990108566; 899894992; 603029498; 799388875; 895021214; 434799475; 375423523; 1014115813; 371807591; 48102478; 302416883; 817830862; 292914339; 664680787; 347752966; 163368715; 279425602; 443031108; 617219652; 873118513; 783893405; 470953460; 901650222; 222128118; 837814608; 774512183; 681259399; 1066356934; 192995370; 435547439; 787261311; 297487949; 561011317; 628563403; 919451493; 650099420; 577272711; 43769155; 1002753345; 166590244; 429974315; 70448783; 586423168; 451018543; 706109911; 768494674; 289021823; 444020507; 437756947; 32382137; 171606737; 684303541; 483122420; 849199012; 114429674; 1015043618; 558893569; 312298339; 331412880; 1021213241; 885051575; 1048184545; 362464205; 231809209; 69259615; 420049479; 367303122; 1019866931; 734614166; 216557269; 109925268; 566781032; 238904111; 256291227; 173668387; 630062042; 31888132; 538193014; 610366253; 208033658; 574702626; 745339335; 31813957; 187772243; 527778601; 514328841; 543319643; 677386804; 994187562; 158045485; 34668219; 162840318; 314145088; 584483639; 102896030; 911068759; 239441898; 841978113; 95009870; 397023495; 62288320; 553174137; 340364446; 861595611; 378166947; 317502041; 488117404; 60872798; 259955235; 442782779; 887975078; 498896272; 802488407; 108800223; 150087762; 818849683; 897930850; 855321190; 386998316; 670460848; 148460227; 258100419; 363561898; 189823672; 850504795; 405308928; 449836326; 38195573; 206367924; 361851172; 297180392; 728005287; 88479445; 389363785; 179569329; 1019289196; 243677663; 859563744; 112975263; 478476843; 628961211; 442148284; 389629978; 257927611; 539305802; 973389659; 490951752; 115570428; 200299538; 276042295; 313933273; 989292485; 189466882; 299706566; 978296798; 153155100; 461919941; 105538988; 133603159; 102719520; 1027856438; 45115027; 420067628; 180599563; 933248773; 624352104; 990122248; 994111309; 1057603231; 591317538; 371775708; 648680182; 615856073; 934837223; 1021999538; 17311402; 249217779; 184100963; 73369332; 75072744; 89601664; 894353242; 789396358; 251818713; 215083184; 96802570; 185857408; 590016024; 499233882; 499925930; 356359402; 983308579; 164622418; 732634766; 10320212; 593011900; 442097346; 184228665; 127317146; 554721422; 342485500; 969758452; 907252676; 101954488; 481109237; 464969284; 1028543473; 200592216; 425199854; 766151874; 30989621; 875754485; 992345326; 848464838; 432120325; 933542214; 121299642; 433418305; 1018014108; 587791480; 371713031; 664564624; 768630392; 479703034; 937691265; 661978242; 773315156; 195028517; 176821337; 1010293424; 461923808; 484270168; 463234307; 522945421; 85409903; 1054691082; 713697692; 528060891; 639645926; 363777264; 182212629; 40613728; 991185795; 189150041; 674971909; 714332558; 879471158; 59539678; 525076902; 1023412417; 803718842; 605647855; 861186316; 962282146; 705008920; 413748138; 366898179; 665496128; 348391113; 70406738; 747119536; 948158101; 101838800; 594515215; 233244722; 515805507; 506906932; 582344980; 755267300; 883129237; 707532807; 583274732; 435296649; 196692057; 479756235; 558758924; 281192396; 735202295; 642187387; 886842529; 711375723; 845454353; 39505032; 1004226560; 468265222; 663160591; 767414834; 249700423; 56842775; 628764141; 250947608; 31641907; 801500539; 355990068; 767543606; 429733584; 206137767; 1048193726; 514153012; 975243834; 645980812; 1063887612; 178264173; 365431926; 76143797; 4796672; 550676301; 342681612; 988680013; 603960633; 143560740; 909604215; 723886583; 620620173; 263245409; 192014078; 578233834; 415571097; 225250078; 1040330431; 1031233537; 805298889; 621824376; 288630830; 744506955; 128405049; 637442709; 518245339; 209711501; 777050919; 478002014; 877301096; 369305020; 322990762; 245103086; 757002192; 51294795; 447861568; 766940197; 127871365; 774638221; 131504084; 638156722; 486273819; 361829631; 75702483; 314753046; 615858316; 222544334; 387968877; 42799875; 121826122; 182529829; 1065438172; 832163347; 406535808; 371190430; 105031893; 135637064; 485411247; 424323913; 844603926; 894738542; 185600729; 221153171; 150035341; 765749765; 385097048; 546973003; 928194532; 361211794; 902380109; 730009561; 24648012; 24657585; 1065091363; 844961258; 981674816; 938976614; 176547805; 494738598; 196589341; 1030984432; 298068239; 764455878; 810937848; 149133647; 98491919; 527047676; 764771565; 793853922; 776430833; 743044653; 731715662; 145437906; 490994609; 1059986064; 601887775; 478429298; 376161537; 668117888; 615949923; 110307415; 636659308; 713417293; 863047730; 834510842; 678278258; 905855398; 1001027896; 209475292; 379819553; 910667530; 607956237; 734847765; 274286767; 480563130; 174757655; 108837651; 700686753; 652414990; 574331445; 429860008; 816320515; 573738764; 388285994; 95577357; 785157267; 609932400; 789475464; 278287239; 486432862; 660553064; 680473888; 299785752; 392091627; 253559299; 933658033; 43750227; 30120353; 290745693; 607620933; 53704184; 519621190; 274964014; 785445190; 955341092; 568638678; 20769163; 230587579; 667080708; 390860789; 564176738; 24056136; 178664539; 54017644; 339979937; 71782095; 992984934; 393970405; 1003066997; 606485575; 589432754; 725278785; 516356763; 199495992; 447162249; 1006841449; 79563974; 942680531; 597489436; 899668167; 877232526; 147881959; 1046537662; 362511699; 924284052; 198351587; 201842388; 442877645; 386674384; 879040024; 206703439; 1003832991; 573082972; 443019904; 120459858; 1026688422; 654915982; 528557050; 17239319; 237543779; 284337000; 874648788; 985960254; 286992590; 403945028; 42640269; 216314591; 945154045; 143187423; 287294667; 459776814; 411134667; 522280476; 235545622; 1010113580; 762935811; 1015320174; 783398313; 68612674; 686095067; 536341204; 706614355; 196501569; 532209944; 96570275; 328499446; 114317500; 211502172; 60802757; 199110673; 218514079; 632677579; 21697079; 500662689; 345145424; 356313449; 238531161; 814805284; 183577475; 548971560; 655091018; 761927415; 371445463; 143082652; 456442274; 83899541; 950875640; 480617556; 560874220; 668198731; 305724734; 662608672; 560461776; 1001786396; 931565806; 1028123488; 725900631; 949266692; 117438689; 268897506; 55813702; 746417657; 517671866; 152741763; 182027413; 104126286; 513298468; 438850809; 105398826; 818377417; 31697705; 346712847; 256552567; 576639507; 845174726; 441470229; 984709089; 838474223; 143213500; 567526408; 787337595; 584779739; 585730438; 54917512; 272127909; 817220130; 698651512; 502955790; 1052621871; 210526182; 984050642; 456875459; 52864653; 729062278; 424925508; 833096063; 785936681; 333925624; 757656471; 101784837; 98909519; 346601507; 70702396; 144732193; 855448599; 245510752; 652929586; 955257584; 3422419; 342823248; 953703089; 984368912; 488416847; 76832018; 949512346; 728422429; 328123444; 600548242; 60223375; 954931734; 930171262; 837098959; 988370304; 507386613; 933823989; 995647680; 304681113; 908608499; 431474776; 457511416; 1002340975; 962245002; 828374303; 456397275; 541233924; 55645522; 712940803; 866944282; 802173223; 591643294; 381039601; 995713469; 73385340; 263560640; 364060590; 1011744185; 167907347; 707514255; 697279120; 108168215; 970251170; 845802792; 143484365; 116552827; 1017689281; 93539855; 139078925; 459007298; 271712439; 30589053; 724379448; 246604748; 920186672; 907190163; 226989612; 960815371; 177934918; 471499788; 57700900; 909007005; 565210274; 926068112; 196387276; 900039730; 282849166; 318992191; 755467789; 431223363; 744503612; 368947382; 817836383; 914770763; 297625008; 1037375248; 499669697; 262362539; 51421111; 888623647; 533664863; 13253760; 272591471; 1001644993; 289154662; 595354793; 43165934; 933420974; 499223197; 626612358; 921757166; 801025692; 339259681; 70369620; 1010843936; 593783065; 674350817; 209542013; 133372291; 1045621439; 1021443117; 94271857; 220636083; 700825786; 470604469; 115798544; 408117210; 426236323; 301932027; 970314948; 424652405; 491108138; 140891779; 170220636; 790462607; 303791339; 800225385; 955228840; 993739922; 961155725; 684490229; 262986994; 499856662; 430786794; 535085268; 122897338; 1069679460; 985309920; 612012191; 48938640; 677049788; 406025448; 407883836; 757207239; 350844454; 909999792; 307669235; 1062260477; 107351184; 747971089; 314405380; 585895795; 336025946; 174860134; 512431283; 505481552; 401910166; 810657360; 1046738335; 6757949; 444771971; 625518445; 486141311; 79582518; 198965141; 402767815; 531718538; 404786930; 131797285; 24138087; 718575036; 863854938; 279308340; 273854298; 488014496; 628963265; 262807847; 666897819; 125095063; 719290193; 97082567; 148076710; 923073431; 69176866; 973410835; 778757606; 333932605; 902710207; 823428478; 629203479; 887196820; 938196373; 8710847; 1018037423; 1017790855; 790444537; 610867953; 461672231; 199289266; 935580467; 158989176; 520332227; 300544490; 740923820; 679169594; 607530732; 1040635110; 578971758; 6326633; 84217255; 627488400; 748139330; 1070906224; 33048638; 825365584; 777303553; 95953502; 457133821; 421910985; 57832465; 995146661; 559328607; 871023873; 533805490; 387802450; 475524954; 16506203; 542966992; 640425438; 328186444; 500746454; 966714142; 691283736; 598421081; 571947081; 281378329; 1009537078; 896369547; 291567996; 563244658; 162360349; 1051856531; 628882718; 1032299430; 182096976; 174840345; 829955853; 519623050; 120070663; 569292913; 54079430; 651932872; 1021517040; 521700871; 974068731; 285926235; 293648025; 610308432; 262212314; 289070991; 742329308; 978148302; 20192753; 292931167; 42141075; 882665445; 936881605; 633063435; 983959944; 174826625; 460583531; 286660546; 694018283; 564264788; 116028926; 226864567; 599812182; 550699970; 915380601; 913614495; 102484099; 322459439; 1029246050; 139707620; 649958777; 624347829; 907554949; 229566176; 357295220; 70997991; 260573432; 520545220; 48225780; 869866994; 902994047; 10761201; 809545210; 170003680; 119886732; 641508863; 838369268; 517949558; 702327297; 616149787; 818154831; 511688085; 541780933; 968506956; 884010824; 558690119; 850297618; 1032426318; 919605334; 979891912; 295741650; 89265744; 141709146; 242359093; 681756733; 464918519; 886713198; 974150376; 700399715; 572252456; 164538711; 447066927; 39200024; 910807383; 901748140; 886730987; 393460647; 1010682522; 871080062; 766582406; 973129574; 129183940; 250742892; 175546673; 585853410; 344441302; 401671727; 785106465; 580823930; 166623192; 270112483; 135517466; 230760684; 53366954; 444895589; 649185877; 777685862; 687136549; 572343137; 432168143; 770399012; 832734037; 292675591; 979982618; 226317474; 164223324; 85387307; 374863885; 1034042330; 530581945; 719233216; 760190706; 567222556; 199347806; 792264765; 8991928; 872519629; 633542123; 999491128; 413829072; 238907306; 461683142; 896262307; 179699298; 315865756; 83896066; 395725151; 603159417; 663018371; 286300908; 316369219; 576599325; 926492967; 280135049; 527984818; 7689115; 875846818; 310305448; 65807575; 864024058; 102725988; 317222807; 690535524; 691839900; 462357281; 404973911; 858229049; 12621458; 469181148; 786698425; 835129262; 109655593; 96423949; 735324749; 1038703893; 443729469; 943701351; 386213478; 222602570; 1034716494; 1000913015; 389989645; 730483340; 158337091; 631586075; 638951585; 964700680; 58404726; 1037417382; 830643692; 20329764; 866875792; 690734369; 177637389; 211309514; 639371749; 777430035; 760246675; 711185918; 136344836; 876324978; 741159034; 1013473543; 881234959; 425175065; 372233442; 328676803; 240547032; 398508162; 971721201; 895333702; 689407841; 542169359; 34555706; 985206572; 598510154; 897285801; 804151096; 506307241; 132241086; 893942446; 863877450; 933354400; 1035689004; 119379463; 545345142; 222205973; 95059483; 918016419; 37130032; 719965571; 865396141; 923890968; 913569315; 215990585; 407718346; 952226521; 327146594; 613781006; 21998841; 223396070; 638177405; 487293838; 985543706; 417146232; 723364172; 488389218; 97331887; 743277852; 665661271; 479183183; 328188959; 447957966; 680841370; 174274377; 405301375; 559308033; 214179905; 9157349; 356513615; 615044050; 82363966; 986559045; 264532601; 435185750; 984036177; 1025332288; 641216123; 678320241; 476478300; 400545589; 557655085; 762210534; 664217981; 136106828; 31913396; 510083915; 531402731; 704976217; 865803600; 842538420; 529283114; 1059759356; 963484046; 290494049; 973007604; 223973758; 525157669; 880497851; 594049252; 862488444; 849542554; 453548292; 439441755; 82282265; 376616900; 17475783; 394392827; 614569710; 976827536; 740998715; 656457406; 593558190; 867561686; 29052153; 973852421; 543472497; 290476703; 175207966; 259515842; 479284610; 276969242; 826214689; 52040745; 518887291; 955128130; 930311616; 166879989; 858255233; 560966321; 280513475; 328060114; 985685163; 907149992; 674000031; 521377148; 461331518; 566649983; 850857506; 175755745; 912228894; 1057601215; 889561894; 379800892; 489743298; 540258675; 794211543; 703403395; 626514194; 327088089; 995982014; 798573381; 826656364; 595559285; 479283855; 599651544; 854875263; 578546759; 402065765; 630299534; 746710549; 596495178; 511394700; 962819287; 456011833; 196105710; 67542539; 984808755; 813814028; 695567910; 1023833666; 30042891; 566028084; 439893163; 910774186; 858680566; 1040772957; 275360179; 1018075068; 449241241; 484055295; 765825300; 780884172; 67750171; 372496215; 369880448; 258782899; 561623580; 265649888; 954062606; 988071956; 934187093; 586381409; 514958523; 1064102034; 117968188; 987698048; 487210592; 243535458; 938539661; 615410803; 623566824; 537838716; 960964295; 409358977; 900020518; 880666987; 568047579; 620038188; 640015988; 548845065; 11782784; 391450077; 373643412; 407160030; 1042499111; 939718204; 220790210; 146200743; 733278058; 888691441; 575368088; 133328138; 771015557; 126620604; 808111961; 715284679; 836566773; 879780767; 1066951548; 532640483; 681605333; 323702176; 448057721; 203685041; 724490976; 439449191; 209123278; 1017945547; 34513806; 671259500; 567517311; 201910317; 791116898; 1057675374; 759041552; 446716277; 304068702; 536121196; 441841464; 445867913; 463847355; 1052405573; 208880268; 689125746; 328359777; 471713219; 423923151; 773383007; 594994943; 981597041; 54740188; 311273921; 728334777; 655906600; 369895361; 666085027; 408186420; 1006059124; 210654747; 974081683; 80360319; 911282484; 486551321; 809007857; 9488894; 28910412; 373059534; 115403881; 410918044; 5483754; 441177803; 586435858; 287135091; 835952278; 778749244; 507566451; 904236510; 396527903; 1022174110; 452454755; 216142894; 73437545; 727514110; 1020325992; 26794385; 162473580; 579112625; 565224204; 702367737; 666975960; 817322847; 611502625; 244851462; 447724218; 106882788; 464939029; 666913348; 497704381; 289865806; 33070122; 812421746; 571921754; 460637886; 498985294; 884866848; 324182213; 691355358; 129276407; 954797157; 661677047; 193718407; 180395052; 773437536; 836471981; 347556860; 868796036; 838592783; 574523226; 609433769; 915058649; 989113673; 661965905; 544215515; 353850774; 305132044; 789623185; 550864340; 255869833; 521326489; 1015608153; 677403155; 235341203; 82464636; 189802379; 89640019; 561057654; 204362434; 293524620; 586193465; 934695685; 437819265; 486912488; 299837341; 318267590; 142347752; 614592991; 683593133; 81513815; 497204164; 1001626273; 276770965; 612520153; 302427865; 290826524; 406922633; 651734808; 632338269; 641496326; 958455438; 188430015; 1059130910; 875721053; 412506775; 583520698; 224258096; 857386613; 313589770; 905129216; 797677497; 346649177; 906848658; 1004949778; 842275406; 692090043; 526330874; 288023700; 109703413; 339151766; 412208693; 734050582; 281369043; 739325181; 561221114; 288837359; 478882665; 901794655; 988473891; 316662411; 900170915; 8509908; 657456125; 826352371; 250482525; 592920638; 946422690; 167078710; 125038250; 363432191; 469595257; 411405252; 692991509; 632782375; 965500303; 487660945; 94106895; 33947160; 543562763; 876718287; 943657237; 898692432; 950782428; 8535607; 1053664850; 584739835; 91937704; 611821273; 337593707; 1000451190; 126507789; 878366689; 34104517; 77956210; 475901676; 219594950; 753373111; 558347855; 763834553; 222211471; 224642279; 675698044; 766992179; 467145082; 312021220; 36961537; 437024995; 637736423; 98444598; 866350109; 811987926; 1016039205; 446687242; 83536728; 144877143; 1030506922; 153687629; 2740413; 340078711; 668004050; 265667054; 301880666; 891684779; 1003636443; 540829737; 932239357; 136458812; 183462634; 18511613; 748403316; 661083020; 805141307; 7121072; 430381878; 153216451; 945436575; 631190419; 314315872; 463616928; 290166066; 1007389276; 71855137; 506551783; 520727731; 448790813; 856205202; 304828147; 813311012; 694805117; 132458614; 317315700; 611231509; 1069216280; 180928979; 1027487239; 576128393; 410724204; 914000994; 719926817; 87638696; 115064216; 948282827; 765559573; 117907445; 366266909; 364011596; 581587058; 878413684; 88526935; 603003287; 1035099533; 427541748; 403706357; 545138300; 989495622; 312796708; 227773113; 705297484; 410918823; 864141699; 1017184215; 295198276; 822234375; 406409781; 260301155; 117692443; 83915421; 382979345; 791188920; 484442449; 561057436; 1060537542; 388804954; 51717262; 389601386; 489073875; 496821490; 990736571; 193022571; 955258548; 654087206; 577316288; 735188729; 647645862; 1029481720; 421361192; 138957081; 576355867; 670977144; 1056952151; 990115487; 449518551; 211322908; 564816227; 702906644; 28412773; 494187725; 493551710; 975626749; 373193389; 940423875; 377842352; 484212684; 661717431; 29434367; 976841842; 524794516; 162791195; 94748882; 369648817; 229698755; 844540351; 762474576; 217491471; 534183844; 604540994; 1034491244; 2073382; 405284075; 614939938; 307363618; 1024870006; 355023060; 722691656; 78488679; 987822419; 784585631; 424238760; 726591387; 69992252; 889126475; 63305723; 414315565; 94396778; 634828133; 455876540; 543661790; 379478056; 134166211; 577147287; 661605740; 276991820; 1011723554; 118383693; 977867346; 247074885; 1064308583; 700039898; 419135381; 303993111; 101133641; 356646010; 413524737; 584854681; 1010237423; 35133639; 814985497; 24098991; 3721592; 85651258; 1009270827; 381774613; 561604580; 394251617; 860471884; 915353529; 382336732; 465225247; 1039459661; 338073848; 1035161415; 227877455; 453037263; 751248174; 532566060; 874389003; 73944513; 626060101; 289291590; 974645621; 404206840; 535924521; 583574782; 12615596; 257080679; 196722720; 416764855; 990972499; 338282202; 196219649; 789776418; 603447159; 565248611; 868339719; 130854341; 222823376; 576791407; 43581519; 798588837; 822219697; 193704586; 396104722; 80075203; 315445817; 680263986; 448613172; 1014931352; 911826452; 747629037; 261059316; 778773062; 555797718; 206424523; 337240295; 535782484; 460210428; 601200225; 442165893; 1057171348; 196929683; 546796447; 415350485; 564168146; 455374183; 369490950; 38722842; 221596214; 7707848; 454599266; 25342912; 753583583; 291565119; 152487281; 601148285; 611138688; 481917457; 156854051; 362786568; 264364887; 814545754; 1035694953; 806082887; 430988392; 664906424; 965741162; 979300525; 833707914; 199580871; 302343500; 877137034; 215214790; 298517297; 282369314; 316734832; 105634679; 175109229; 563984677; 277145420; 267917888; 642633617; 638144976; 644918205; 1029489334; 723360286; 854099561; 1044904805; 792172334; 136062643; 444442200; 952282117; 410116737; 149469950; 967024990; 530473045; 635028887; 137733346; 1024823851; 68199031; 569153831; 33975936; 437997565; 997896222; 991142067; 176894213; 856081469; 119054005; 729025034; 185074328; 92489803; 443458115; 908696237; 144640092; 540138243; 123731739; 628523453; 363362495; 903191918; 280530325; 367703444; 955657083; 871289915; 467469216; 389764120; 649073102; 748778593; 738354631; 877629307; 923739291; 544493999; 675958841; 319329659; 470133862; 426618258; 89585063; 878227579; 702952429; 264166484; 499051404; 257235880; 983226053; 752714925; 541690257; 501290760; 751577003; 236919232; 213763059; 883654832; 1046572457; 727526449; 480314814; 359811278; 812152493; 979496334; 113181416; 341601038; 810388817; 375436589; 526954552; 713520276; 982849605; 1048065478; 897226684; 942663703; 212562288; 917584319; 173882834; 216339; 753524768; 665590673; 552695381; 449952417; 18810687; 519588322; 483532620; 717185543; 977491520; 789247412; 335131848; 387385803; 188345809; 355853218; 1071359959; 860799701; 277265652; 992684384; 18545013; 731161707; 743099808; 1060880866; 989138607; 833751259; 944395219; 928475047; 357696714; 646625641; 263119448; 394669377; 756513177; 988550806; 240315679; 918967698; 338248864; 618372470; 243617957; 601906904; 99422415; 2238867; 667072443; 730171243; 228944529; 602420653; 848994732; 661096660; 504067020; 809856132; 568272069; 544557118; 69305910; 651439857; 349580778; 666028749; 573729610; 440821829; 870896127; 355407039; 187365131; 523517292; 783264580; 328482888; 248618218; 411657592; 896120886; 266673771; 213027633; 403234130; 969081124; 892701160; 831384507; 561393221; 396600696; 651891268; 67400551; 703616955; 772453484; 1023591724; 343681913; 922026108; 1030421233; 1028101357; 144649819; 733062054; 415442675; 961242042; 325836299; 649034559; 445617173; 940379451; 701382942; 1016375428; 869141683; 300853516; 943053541; 987649058; 1037538225; 204832715; 135891914; 801080716; 827594915; 10963514; 590286907; 1016528418; 277128219; 123788924; 730702292; 727387397; 995096394; 1052103708; 507935955; 465406766; 884306249; 762535754; 883555267; 712954023; 366108435; 714934146; 48457937; 105532301; 568232968; 101301786; 931845091; 1046072416; 946688371; 407547179; 255686530; 418120513; 439772204; 805719509; 644289117; 308909160; 332415770; 773025620; 250722075; 215581514; 884842897; 333307412; 425394016; 367558022; 81355568; 458342164; 493301320; 941709189; 871584940; 1070666946; 121680277; 77113521; 564428463; 940337142; 1069035678; 982441834; 594812329; 1028493728; 594031141; 254488558; 871324762; 1044746029; 187602524; 530877408; 912274670; 851085199; 594664754; 721653773; 607796690; 511558405; 792774157; 903170272; 216586790; 431419970; 351419864; 682459654; 24323843; 918963735; 453081912; 596644039; 1002950419; 758481859; 78584638; 72637895; 590497446; 448785230; 500304339; 751800253; 836612658; 985648616; 453505453; 344124388; 922085574; 163190529; 579952646; 731917056; 942848848; 976250888; 103208268; 943440301; 624759403; 474192791; 639122756; 13967381; 683207689; 445843539; 1043585427; 392228449; 579670553; 244143833; 1008378983; 485006057; 816115163; 385155862; 84823210; 382549783; 548528013; 765048944; 829102504; 236250314; 339827020; 41884760; 1013469900; 661997264; 70787589; 209591947; 976410115; 759909695; 1038319719; 704784001; 488142836; 49564608; 852729204; 77502044; 108292532; 393159042; 460913762; 432788597; 810688843; 53912747; 579981398; 628701106; 302307013; 732674505; 894039117; 233985688; 604481252; 784547695; 280308714; 905828520; 81993180; 437250299; 749430557; 365264317; 1040122622; 397895173; 133326059; 914601904; 531425725; 360831744; 182164158; 153679428; 905941077; 484837216; 553404822; 406163828; 771710893; 432142302; 104237867; 534558914; 484327372; 439918374; 585912670; 609150179; 566532867; 764282891; 426178521; 901153893; 784431067; 660245295; 243721599; 205705738; 392228532; 224955567; 454243588; 211985057; 434601943; 431984079; 654871672; 662387708; 111476907; 989127982; 262766348; 741578578; 572703787; 527033157; 714455797; 601850929; 98585536; 973525879; 247053512; 95088586; 936656811; 318415825; 241118826; 227861425; 465107086; 703897994; 14779814; 179892732; 864658642; 198084387; 173859146; 157854569; 494187093; 682064577; 862390908; 180013161; 30472916; 603786650; 299835395; 571959900; 275065709; 876255273; 625675005; 445376309; 413978861; 923734769; 359790539; 642971591; 675028956; 986767657; 573641209; 818969502; 779700457; 853621609; 381069438; 1064825981; 449070393; 621013910; 807282108; 447088221; 1013628333; 841753595; 104929807; 673918735; 754950549; 494647329; 707896232; 227137204; 78728315; 431981677; 67359056; 53854112; 424913411; 597148876; 922217053; 404583270; 60850469; 199939012; 619234478; 596878522; 315259090; 640859870; 575105354; 761120326; 262335684; 33040820; 198756791; 722870288; 173450701; 376160241; 192439746; 568026022; 906251762; 648126593; 442936035; 837401661; 643095016; 720893672; 176786592; 68604311; 35815060; 783861418; 678326886; 960199223; 556647431; 545001725; 777629239; 824566673; 716735520; 389049556; 113510027; 769465575; 756990298; 182577206; 703534388; 115837342; 897398281; 689599616; 873097300; 1048764013; 663933194; 750217925; 676169060; 554977202; 415128511; 412781675; 400382921; 1049867024; 12754220; 455128895; 256512710; 72172643; 305877893; 562578246; 867180653; 892864481; 959856270; 272056839; 114571175; 509781392; 372361744; 243746110; 948432473; 121920852; 541046302; 713980839; 802374980; 966564120; 942261705; 614862808; 281410829; 578738253; 1017971759; 1041948655; 877874566; 452024528; 598039453; 344380940; 154729032; 119894794; 9269885; 822427628; 385796511; 949026722; 829305636; 561874411; 973957039; 33699439; 84439257; 631499236; 739063227; 380950676; 623022587; 919245478; 786296540; 380203140; 993531010; 716822637; 1014877816; 306492641; 348303318; 168950996; 752059701; 66518453; 618060901; 967606436; 935344494; 5848315; 790996894; 64465443; 962195431; 937393954; 366557530; 849417430; 861519715; 876355762; 597822838; 386981178; 491539430; 254556388; 531274084; 856222375; 577032427; 579281048; 841426562; 1026965747; 916797759; 413448797; 777978053; 640820717; 121598047; 1037576005; 924402188; 754637953; 451532746; 333214741; 320285407; 87317281; 9518090; 311800735; 63646092; 828643678; 340208348; 964430823; 460445391; 940476677; 921948293; 226432020; 15928038; 288934406; 527576004; 1034435248; 139878458; 126349351; 142374903; 995321855; 21171194; 228567240; 737578861; 514090511; 106903949; 570057976; 731810408; 406041864; 173931572; 423365394; 999546559; 1044011010; 673796099; 165793283; 625527564; 400929353; 734474324; 954873017; 590684991; 86308582; 189609578; 684684880; 557772223; 445921253; 833158299; 238159034; 578635781; 587495413; 555619733; 359048294; 71623142; 935115751; 1028966226; 530354604; 277495387; 145297799; 251602014; 792939387; 1061619453; 688962758; 747570170; 263140895; 212108139; 463079233; 692866906; 10129826; 1030688690; 343057297; 747805916; 420999950; 396381864; 518958066; 436863684; 393361355; 778301162; 900289781; 536456588; 1033956890; 495559038; 981647090; 927849989; 525249984; 799671930; 633477423; 596254338; 217824219; 588997582; 813658030; 741992833; 137080410; 112003407; 664371132; 14868181; 170462469; 402171436; 772035914; 155516228; 903243551; 465099556; 957838562; 870979180; 758174794; 637617729; 331188246; 360439199; 133687394; 809989795; 922543424; 771023708; 80279086; 88317857; 591748280; 946172258; 255606149; 495400747; 263953338; 221240473; 905341837; 476122689; 814371117; 9874474; 246438212; 91557857; 772965037; 296030807; 286897393; 1062012621; 92960369; 919129041; 310425027; 960012522; 131033453; 979061014; 1025478505; 96684022; 996644712; 918100456; 401390252; 252817440; 778756118; 863000377; 439321410; 547382009; 736477453; 860398567; 806449182; 40338834; 682743666; 703426529; 716697636; 954677940; 501030642; 514525164; 708314424; 800341070; 497369965; 386902553; 279836947; 572943309; 967636350; 426751598; 156164488; 732792575; 740654256; 321540160; 744422790; 605814139; 859929287; 454028593; 1061741419; 695124506; 1068307441; 700833748; 540281807; 30995774; 93136617; 882669844; 477169144; 926724889; 208976795; 916851268; 19163998; 991907333; 614037461; 941856094; 9120728; 1024688025; 139437711; 668346175; 331396528; 902255907; 512195694; 614313836; 558980597; 1062761055; 36225493; 705328466; 215187575; 542635316; 371551139; 869861042; 423221420; 98686394; 499944605; 772507230; 862965469; 586085456; 1006429558; 911081395; 142521346; 1070589467; 365185351; 354919805; 688685321; 426534806; 29801470; 635060025; 505986446; 698394550; 614668156; 832762463; 831914449; 252886798; 604347552; 375220081; 515836735; 123389296; 526838744; 399785235; 172312416; 125367679; 412399862; 227049165; 955227973; 737126054; 624837771; 403445593; 780152761; 66980376; 820245632; 867112233; 1056536552; 886516792; 941201715; 625259005; 422846775; 604431603; 42517301; 797206264; 1052901799; 395111932; 1027903147; 376442663; 895525214; 185052372; 857307616; 133992621; 553028463; 549666123; 118312323; 846934122; 645567216; 837453921; 828411002; 616469702; 867797691; 1061823868; 743429222; 431292082; 491125693; 415455762; 838302568; 632768363; 665392133; 977345867; 875213536; 905432914; 1021217253; 800499588; 338444876; 195365402; 219488902; 892237079; 63443159; 440291939; 770691181; 837156577; 153774099; 436767402; 949810787; 30062866; 73708853; 125397475; 796221643; 532670619; 484149437; 282343017; 716020175; 532965723; 1065609840; 798989145; 581044322; 1034990146; 306394833; 449468220; 700609549; 602086541; 823266789; 101873506; 261124646; 703337354; 54695764; 410002883; 112197396; 1024993790; 638706914; 768045515; 451301236; 767686744; 172150426; 607419661; 477843014; 796596658; 553102970; 551401802; 531584195; 617575964; 908947940; 1061436904; 511614176; 303496606; 773971139; 881216797; 389609499; 732220322; 754962050; 53632040; 997668480; 1011851525; 509591620; 409365962; 154365641; 431843738; 414573470; 223059630; 810832608; 711856199; 973231019; 131952670; 938618226; 359311043; 944222551; 330694013; 1062300599; 242028757; 367022988; 333646034; 868597051; 328827535; 446984054; 402683548; 812330612; 793165543; 532341191; 482796737; 235741060; 951003188; 656917452; 484383548; 849772381; 706223480; 505330533; 568807216; 137739870; 748119504; 1011852784; 667281349; 640456479; 25745218; 518325768; 545560176; 863465584; 723384460; 612153827; 58106729; 146685170; 582141931; 1045881430; 633814738; 1064804222; 619958810; 115506906; 65294634; 308053917; 619060136; 180832819; 781956394; 1006171418; 783776023; 624754745; 1018743595; 970586094; 382765508; 124656206; 127119144; 671010350; 966370721; 961491470; 57858486; 960184815; 294316808; 785476957; 365591993; 579682081; 1004526906; 499916581; 1064575114; 636834871; 29264749; 816871000; 471248055; 650679196; 361284377; 373551765; 336012721; 147935426; 323175494; 859983102; 46575206; 520206784; 49982403; 231587758; 47608035; 978920460; 856709958; 361963648; 603338256; 800410272; 208772551; 414775071; 27319065; 1042538105; 1041015286; 589853511; 925870363; 1040830911; 816642843; 34689331; 355123314; 823054391; 290021286; 564007421; 533589425; 521897292; 937105074; 414070645; 1009017245; 427063513; 438912910; 673123755; 332683584; 255225028; 477957996; 498883434; 728539494; 797189809; 712778778; 166090919; 565241794; 44500637; 712110659; 106649674; 591452136; 626153226; 379809172; 479536492; 176345861; 1042496851; 451273028; 404857546; 298860741; 887212429; 1039827076; 940062455; 446469059; 182974664; 88921242; 836191172; 119252493; 791614809; 278122776; 103481049; 867611385; 1018722635; 396822329; 843372147; 1049537598; 272496771; 381501873; 544790264; 231850215; 971366547; 1055608789; 921241366; 229583424; 636861607; 118245810; 205871084; 396342695; 433251855; 93638213; 169278031; 394441673; 679956538; 968003408; 189620633; 1014128987; 1007858488; 50353896; 778006426; 218063565; 1066745745; 436550035; 608454547; 763508955; 254159657; 29830888; 410658813; 437088740; 735105610; 983925427; 836133229; 877519745; 270722774; 593007641; 461688987; 945434898; 748570240; 36379824; 1047204974; 155111034; 204546870; 730527886; 248247127; 536380028; 305673650; 130265323; 805646627; 464235867; 169274688; 766353554; 31640770; 192296259; 987646198; 970918167; 167714832; 602207456; 323395307; 123140978; 648810991; 479612119; 593856376; 972811989; 419956612; 806068408; 637102435; 417702392; 1007078560; 335532907; 171916297; 42067704; 705815098; 992509193; 205327829; 181598533; 930292635; 355492117; 393980422; 198867136; 934712452; 948336665; 65940197; 290120888; 963802176; 282491723; 601957926; 618002664; 232152442; 401775297; 582826413; 225245636; 565722782; 741061837; 409068117; 319821171; 735318128; 803922271; 403270783; 765542080; 898494878; 437384309; 207755974; 667786633; 368784701; 621509929; 68921370; 1039976075; 205452666; 1033718981; 383812014; 896068545; 217439954; 856817718; 697404755; 335315174; 522071783; 315652725; 863109557; 730671190; 21658686; 997201287; 809176048; 209690802; 311890506; 677664031; 679106837; 737500858; 1062849588; 16719874; 770818523; 674626079; 661176419; 977447391; 546255475; 487195244; 1022684392; 619168940; 166167518; 917307410; 454091043; 718042478; 804575737; 490328195; 229959241; 865552257; 361995202; 784702714; 370714975; 84233091; 731295385; 71237627; 724867607; 1033849478; 644670514; 806306881; 382323698; 510754532; 163570824; 586467602; 267329843; 656682868; 523755951; 905409026; 1034300013; 133861060; 494345687; 956398054; 238677282; 513806653; 1005886027; 105876466; 703954382; 724976064; 313356513; 970472505; 521429962; 107461754; 463708486; 240894306; 855050649; 761187612; 546032505; 569383432; 697439724; 143332794; 744428494; 450601104; 546677049; 839111189; 219267858; 137201674; 399867215; 805908966; 669855538; 949769180; 424478538; 420941056; 442614961; 204286246; 847147381; 472477103; 443908176; 841983123; 237250524; 227487452; 325304474; 410701203; 556905711; 553951069; 927316808; 861607247; 966057048; 1069951030; 966338630; 41038254; 734245103; 768566699; 89054088; 1036612325; 153889228; 470192593; 6548726; 186757213; 104535364; 796823142; 930625170; 725880541; 308994271; 734054569; 97032615; 1047803321; 428269976; 550394738; 782185782; 274461667; 696357375; 839521685; 965612294; 1053087378; 1053069641; 279653810; 1739137; 623396960; 402156123; 469299154; 28422784; 174585244; 93927948; 694105858; 5504593; 448593358; 574833106; 915483354; 959540288; 538164761; 1065436661; 521088107; 19964324; 589395447; 979511702; 746515888; 460983929; 745858126; 19929322; 949236213; 773812201; 581308853; 610073909; 317842757; 436072987; 570073598; 350588024; 235418527; 443389707; 381165586; 905218143; 892480104; 318067160; 916724281; 929612457; 307063566; 87933506; 164116998; 763117062; 526818091; 577662879; 1003954619; 630762177; 539119485; 904004372; 772771107; 513692138; 853506049; 207276164; 224804929; 817258739; 490732575; 285375648; 513620982; 1062110935; 878231881; 598957426; 366868785; 23745877; 358228677; 1073371380; 822067663; 534756344; 714255450; 138536987; 980837746; 779801389; 181049212; 620761286; 760414412; 844476530; 423747024; 377511030; 594727671; 457890212; 220962346; 595255033; 252767802; 770295998; 900626267; 137400547; 470828726; 898198063; 463793335; 774974621; 620393060; 486673704; 361167787; 161159991; 177485911; 790054105; 1023821573; 98341816; 206379518; 460494229; 317861904; 813062751; 849537022; 229566427; 596012956; 730589003; 52102649; 924013719; 691689731; 387378430; 141857633; 506631807; 788947740; 447036492; 641355959; 325369703; 144890086; 632523376; 560311196; 78680281; 1014949171; 647176466; 337503429; 634314601; 256739485; 1000088778; 628070005; 30876251; 636427959; 20389118; 510658050; 154678418; 487767637; 944513481; 23270097; 136819321; 983629724; 72001877; 566038328; 500952174; 224127247; 1069425110; 138942798; 377521745; 700293232; 100357329; 387245752; 244905595; 1000963985; 294704082; 127911591; 665690947; 1003490762; 374364672; 260303364; 950548552; 406407693; 515153162; 605999054; 753583967; 338454411; 439215728; 1071673859; 235021632; 922390925; 120379771; 552547589; 347927443; 381246249; 867867303; 627188648; 465615583; 258319740; 954346532; 507169366; 496806238; 289732233; 438131606; 637326885; 756364486; 86353308; 806204460; 479631610; 172189331; 350898168; 43175457; 718496607; 37879810; 197316267; 687897802; 327181131; 123050968; 1008341448; 94027197; 265155786; 369343117; 306791134; 689983670; 317946288; 811199610; 45008922; 999193988; 391056713; 979983496; 181546049; 911558785; 504428255; 611575358; 547884255; 1021965758; 200692677; 55563017; 512636628; 982989098; 403527427; 344444775; 944128896; 88582291; 914657686; 350264278; 64381352; 81547312; 187069973; 795231053; 387973493; 422774086; 959923265; 637091431; 75504444; 730371310; 206586981; 831388941; 769311787; 581270204; 168031173; 945109123; 1056471823; 485886249; 1056085590; 985763161; 431297434; 700937443; 576379926; 955105174; 1071707218; 825535470; 2446947; 439859947; 1001543827; 665217347; 1044809457; 714860642; 757987411; 117737727; 506482290; 908688091; 246628805; 646447439; 832369377; 624182243; 919038173; 1025811994; 1059902212; 863255703; 1006998479; 430991422; 166863857; 115533308; 457789781; 353211199; 701826581; 990456644; 245223253; 784746261; 482312037; 683854903; 129936230; 873850890; 797943363; 586781331; 924285786; 112932735; 175304612; 678490006; 950396519; 598728993; 1049479913; 1000678346; 870050895; 839746156; 1057969456; 815166722; 939604038; 178609338; 1055312387; 631862831; 547114669; 61559716; 725757353; 713234586; 603663926; 556248991; 763926542; 835795066; 390215067; 686004419; 10745294; 594273446; 135465161; 343085075; 25732060; 875446735; 516689797; 180826769; 155583474; 547864419; 338368929; 752465869; 862738526; 585121775; 683725248; 846831733; 129206989; 919508644; 864067961; 97266647; 405801229; 656919293; 793953236; 495625617; 1034999193; 215810733; 59414020; 747084070; 39486743; 791217643; 303615990; 622436493; 886409623; 705732056; 715937263; 370262056; 79067305; 32865244; 392083815; 488016344; 315333428; 1029690236; 93503059; 716889247; 952086111; 246512040; 696858221; 758702789; 725167753; 318181446; 487954209; 565918882; 346971770; 721109655; 670442685; 816755522; 36461145; 1039509338; 249014648; 743700347; 600277683; 324282197; 924167645; 562725327; 426389687; 331517683; 651328751; 1002213570; 449457082; 739736010; 224940649; 1019375208; 565270673; 227869300; 922142960; 680951727; 496061748; 412175045; 542707471; 233413078; 415876702; 280709051; 625093966; 794868309; 86352169; 158332057; 423926701; 711321781; 277491512; 639846982; 358542238; 791382515; 956774432; 378182412; 151882035; 11335060; 882985186; 426506633; 197665483; 468761028; 203403510; 462336854; 65781558; 500614066; 713697127; 745182923; 882516609; 16972131; 628609425; 926171066; 930019969; 82963127; 242851041; 967202985; 629821717; 41432983; 524963706; 516221275; 979326267; 1052355587; 706222868; 742729681; 730471042; 687512475; 29172574; 1026884537; 732969809; 1058448807; 420734120; 29093209; 321994804; 755492515; 667212300; 977546579; 716590387; 346107193; 365146709; 249664154; 146463459; 66273924; 159696396; 961484908; 392871370; 1070961037; 172789814; 817084484; 589065919; 846980747; 136223418; 581714344; 794734463; 334993921; 421142921; 201163925; 249906581; 629249506; 961149201; 1041065368; 587349028; 1012283031; 151540808; 106306841; 1072745976; 85724280; 892288683; 597302085; 841441836; 788720613; 757311569; 899582561; 20576140; 339237321; 438794636; 340807909; 267137538; 324655894; 666213391; 383179409; 672698288; 67256665; 2606769; 540061920; 234811307; 516730086; 315024909; 374324675; 316868623; 875382708; 303896063; 862419789; 607294728; 352999819; 247822742; 398570598; 669461877; 31160887; 976219023; 767091265; 665570350; 197765897; 785449238; 530967518; 313909391; 146575455; 489956408; 972432097; 74279724; 509747171; 489313414; 494257764; 459923902; 877546305; 639487660; 667378863; 169201245; 796567049; 112206227; 6193862; 961839924; 587573656; 514234979; 680519350; 971280897; 1066827495; 666624614; 836201186; 2411488; 386095623; 854998325; 182463361; 680637069; 1019777324; 399926844; 186321921; 1056949787; 883083303; 872146688; 503742118; 945722179; 484038493; 741288421; 342307984; 287233153; 931054066; 516306350; 847389379; 189518225; 391248376; 572000561; 1037593260; 1048692961; 732881794; 649511200; 577598573; 946695054; 654825604; 658872571; 257141742; 333650305; 596569339; 7990042; 369929815; 347775807; 68319308; 978048066; 918520002; 612210449; 886436723; 817203564; 781368065; 622175319; 831160975; 623429889; 420823107; 772713715; 202995424; 477785576; 18852482; 797584719; 730597856; 190557280; 355922718; 433970036; 357932214; 371024182; 110504707; 101409443; 72903936; 617878592; 834695788; 116618458; 791639802; 441947879; 643585839; 512443115; 936747396; 63439245; 807598066; 314232390; 186703173; 426832952; 176246938; 106185623; 87963513; 174515185; 191313402; 2328435; 995161648; 836264903; 385199493; 416202154; 874202020; 221232495; 230639439; 601535304; 347164422; 560810510; 880540820; 104605326; 51490143; 87795466; 278438178; 303176408; 320334909; 840570361; 873081978; 780716959; 809263327; 947016233; 206244030; 720878848; 573876763; 299055818; 314757270; 296887196; 140040107; 491052629; 293499517; 809304774; 52736445; 152290294; 258773897; 348275851; 222378151; 457923361; 842179354; 72197934; 539099137; 464854622; 1016194068; 755283059; 100710184; 976474105; 831943041; 197004836; 923415494; 852009663; 233117215; 953535657; 1004762490; 720332838; 995284237; 25599258; 152210003; 324667231; 777536099; 86866117; 306148428; 777201357; 773104676; 844066099; 627891942; 867647118; 996952975; 83454955; 749314766; 894326229; 770061759; 921311153; 941039115; 400289876; 38193322; 1070648944; 582371151; 237755574; 457130363; 583740360; 255268924; 118302576; 316680567; 580874947; 781041379; 450579816; 197522842; 208399685; 489974358; 238900136; 345903049; 808730973; 687965970; 710122285; 541270015; 639491781; 3622612; 201380373; 560409075; 1033059473; 1007181154; 712394768; 400947925; 468163481; 723478410; 984229648; 251214368; 562145944; 275908688; 926966323; 1018343024; 600261380; 141799178; 1020910181; 420086336; 896842601; 876167883; 434287766; 492633742; 84443507; 85866018; 265744024; 601099394; 689363670; 536162587; 959702698; 551052399; 866320885; 442945517; 806081733; 469655949; 337096880; 175075226; 797688046; 223100421; 999234075; 330819363; 800687943; 285851922; 307419130; 645354632; 410135384; 801317544; 739978004; 500566654; 561861579; 869266872; 486816672; 293273475; 218341752; 832193403; 310900388; 128639440; 211841519; 990065530; 999229733; 977837612; 420240345; 899197716; 937396447; 624820990; 546193846; 315549452; 627726304; 639967149; 370018777; 591059227; 967686854; 904517959; 1022494510; 960833361; 542724047; 321774312; 466576889; 371324674; 455801284; 27651824; 241697267; 789817972; 79684926; 542113744; 868790634; 799497765; 313440552; 968227949; 1055968534; 524116485; 842388775; 1040562934; 734278325; 10039139; 545517324; 531788702; 302376687; 560912630; 300901613; 996199577; 322739102; 974541870; 1072047655; 131745290; 796420115; 425563855; 398825831; 794462394; 696622676; 58100332; 481767660; 805318382; 360603637; 996169131; 1036563998; 630523540; 534325066; 647856094; 621862513; 442037170; 1029141384; 881749260; 1020330905; 310902196; 887579218; 73051348; 296099167; 598578433; 1045319430; 176429202; 930158417; 952401906; 212040762; 858280985; 414062560; 1039588633; 927736129; 1016115294; 934044321; 797877806; 487271950; 776850271; 364814133; 151417163; 443800223; 6738531; 147641985; 589550136; 327297171; 796707765; 816640737; 473536168; 373025941; 437400435; 297830206; 555504020; 227194357; 152030335; 660488324; 265347174; 104684059; 530610894; 145345835; 835224462; 954640922; 231862677; 30475382; 306528818; 632657527; 830759813; 227769427; 159313283; 100553082; 964221503; 5184912; 922537204; 643036314; 973076388; 526337001; 286362094; 825173692; 336348261; 194649217; 895915044; 761247463; 419346048; 187582488; 1060724290; 875172007; 260203161; 899784371; 367640387; 778548808; 408672827; 581877122; 974678909; 146554470; 890302258; 440867716; 72169026; 28527461; 645033250; 713130096; 219396604; 181292631; 548473464; 4377161; 5979754; 812487960; 376262767; 754385579; 339101971; 984852156; 1014097343; 106737975; 77838817; 35110915; 619700451; 841772298; 944976764; 833505554; 560170080; 824663387; 18078722; 1057333774; 346173234; 206067571; 183728058; 265004780; 328348129; 1008968556; 777452519; 267927508; 572988559; 726229953; 1068058173; 868536585; 297244976; 17928749; 361958683; 460611831; 328669226; 261471236; 510406676; 1047612017; 507983614; 84766757; 326025360; 56146433; 321246636; 851961397; 843893954; 236400214; 694551106; 613347140; 593411606; 224122973; 932373414; 326951665; 70193544; 608451339; 793141468; 70147750; 452206412; 532330026; 159820569; 928674412; 222837078; 934510607; 829100507; 1055999173; 894254191; 351032439; 867260220; 882936179; 424003325; 996964685; 555367870; 496401805; 437781648; 746528388; 487183811; 524160006; 481496178; 1051685745; 262875591; 337452983; 1000050915; 1057664216; 78590896; 969739501; 176439480; 937157933; 827470757; 497396353; 774945155; 67993585; 430036703; 667533062; 282053174; 753823875; 502145909; 833557298; 874866496; 105702595; 287058992; 850174149; 773829116; 955335297; 955214087; 745757729; 936548180; 57106021; 838468979; 283586772; 301049902; 1005580358; 592723724; 117957145; 977771950; 433742752; 518874508; 371988020; 673008931; 388827305; 130282808; 154666633; 592607541; 268172420; 880094777; 778029978; 979693525; 1022521954; 1066372241; 242756779; 312949107; 923700410; 754318122; 764814165; 1064195351; 265805000; 771883148; 485936416; 779518537; 232201616; 156305168; 604790370; 465432053; 907427532; 851698540; 455860216; 109170158; 410449985; 128388203; 241769361; 896858741; 175898121; 663376510; 740014748; 970489129; 182087775; 60824147; 577612043; 856827788; 431501838; 379423403; 473528889; 543402308; 253335716; 220103595; 617207863; 92201906; 713831485; 877257973; 459467808; 693382929; 645128838; 401753180; 1033748669; 207918280; 1040529800; 878983318; 1033348671; 5844431; 615687835; 503936859; 629562264; 20746289; 709056454; 289244362; 352378116; 7100329; 517068575; 950194422; 64502359; 18586737; 346633293; 610315713; 330613611; 787191250; 180075454; 686281801; 1045090744; 405952372; 451610575; 867606806; 825407179; 403213989; 358436875; 280673200; 214157444; 609434030; 99151982; 83600728; 1050555683; 234417688; 384124309; 1067823509; 954477177; 907934273; 563309846; 625740358; 350779838; 163646591; 815389615; 701684609; 397140240; 20396136; 1028162223; 652817590; 778521876; 1041724676; 103997273; 519181314; 844290179; 708767554; 467132212; 514381433; 476201566; 312284456; 263275644; 438344104; 399036779; 446264915; 360196480; 336916078; 627250378; 868932500; 888608074; 407656868; 780209257; 699110731; 833690262; 816677416; 343747714; 28597655; 647040084; 143707198; 830397421; 68526130; 434772243; 216123259; 491597323; 703735438; 1014671394; 1033126928; 854421453; 832518726; 518287203; 657098362; 600250849; 719305086; 44610047; 594776124; 548684474; 597848007; 910465645; 841401130; 66463401; 604130273; 9497276; 1008043214; 568077881; 560807384; 600040992; 1030435618; 148964440; 923940257; 270446372; 815937317; 259831077; 630873067; 370591719; 497560347; 381028392; 152473706; 860960526; 272301238; 303538128; 628390029; 786480632; 550067528; 61508241; 837034354; 620236136; 744510146; 714238281; 566606189; 781366722; 399021935; 290144533; 820826669; 409490706; 7099723; 958625714; 911049320; 379355383; 114978576; 374649096; 828823074; 871824288; 220768109; 312276145; 777907393; 364746481; 825000007; 174096978; 447754985; 780362990; 504132890; 353829321; 182131484; 511098967; 675122864; 982357315; 737525456; 359964655; 930095739; 654486315; 895065870; 495129026; 122333143; 563376252; 285013005; 964880537; 513200459; 907589682; 1011294103; 32272324; 126983186; 408782843; 413491374; 27678670; 109372345; 589309395; 129459963; 833197102; 915945138; 907905101; 814768677; 682787516; 968365145; 271347503; 370907848; 840766509; 142773207; 899113460; 1054241299; 5980015; 47275157; 939350662; 497851744; 875301038; 1009555280; 745007792; 357281936; 12351749; 286257392; 700686708; 262963118; 269475003; 896241881; 315258558; 77381140; 238290851; 352268201; 863063366; 151318844; 453889438; 149158526; 399533687; 765053282; 634758240; 130709421; 67444810; 438012995; 806151908; 982178030; 889495302; 844488472; 2097304; 995119554; 404292718; 749397375; 312070901; 748408468; 579034818; 682147964; 685755560; 1017406482; 67145967; 845410337; 891115783; 1021011939; 792060472; 12893857; 1068374833; 116278421; 459499871; 602838003; 50941514; 44840715; 876658297; 939555142; 30430599; 1050035542; 625720783; 215885690; 1038062635; 913020085; 196281509; 565803526; 750812500; 246226100; 446480422; 630626825; 1011415515; 695804419; 164338580; 121942569; 641658949; 782536624; 178322227; 538803390; 67236664; 342336991; 1064542109; 1071984637; 70418126; 718899984; 525724386; 911582518; 240871899; 960912156; 655258241; 106243859; 610834074; 447003034; 1009447623; 450838266; 888412231; 966702673; 167867042; 608072088; 361614839; 110113052; 839864158; 432155063; 636695168; 383139001; 405889194; 964674453; 811038542; 652074229; 662281247; 164897547; 289475494; 962586699; 413819965; 89059078; 268866051; 397639510; 922324088; 972437150; 249457054; 539635253; 355932986; 835387055; 345368106; 856134357; 456673999; 353193603; 732697337; 944048145; 479383653; 151443443; 1009214222; 409737777; 932555221; 216008792; 645770363; 438432433; 453855601; 365441855; 412013680; 540285366; 339435106; 984154370; 658058039; 62013667; 672984437; 767720750; 894896314; 701542797; 537574596; 748493490; 52274122; 443027530; 959802971; 538305792; 467043884; 41888878; 678445086; 282949628; 951313566; 190886996; 976669081; 824116674; 147755884; 941538703; 779150309; 395555554; 670483086; 880117188; 140139988; 728810065; 1051262304; 157604195; 461805050; 157131215; 860665979; 740501931; 909454894; 120181620; 309219713; 629433243; 87383677; 1010372635; 1064807667; 245619587; 585411248; 58368379; 331617143; 1042705430; 567675872; 1067127441; 179946655; 559066279; 252850750; 660817612; 949424023; 692834212; 650107195; 828270181; 579886593; 877513684; 919286919; 880778418; 253480435; 424330651; 814387875; 244988933; 194796156; 105020680; 167033516; 464485306; 207435559; 138299424; 1035807881; 444703446; 929200657; 425434362; 666424862; 513695517; 1022399141; 762171256; 512476050; 849547706; 47174865; 1042330748; 952550320; 131849478; 893040601; 994879358; 4858738; 387528206; 35193009; 5460920; 237862211; 448467663; 116878591; 1073108573; 978302281; 957118062; 119684209; 683422807; 95588573; 190725170; 374835677; 493429413; 374029007; 1029016520; 77890001; 262888509; 806248107; 180040797; 614200653; 246401617; 468803035; 718204896; 362617944; 653742374; 243970338; 799778395; 436394186; 751261878; 851149846; 118206024; 579047039; 838746123; 953962326; 869173982; 608146221; 953590345; 560380608; 846326537; 75170689; 2822902; 970431231; 57230958; 82028448; 598290105; 936266443; 508150421; 1014954351; 283230176; 419271985; 584566966; 362428721; 252733325; 521398399; 705057205; 945156636; 993255016; 864614878; 179990800; 809248356; 312721052; 367631379; 137720956; 704092635; 705693195; 888656707; 110759498; 322970183; 895695098; 925285721; 1001452220; 65033707; 213662713; 472962927; 174423250; 646467270; 867004629; 689604704; 932700477; 549574974; 939431669; 169330385; 81644555; 998459603; 199693372; 422091826; 904107180; 326822027; 1066418967; 398984378; 856989249; 917763878; 967107238; 104225738; 382539810; 426240772; 594333720; 954150460; 46858586; 667292125; 408337763; 1033808811; 390270643; 1058807135; 875916536; 929105723; 347217618; 377156812; 373346110; 421924345; 295737571; 385807048; 494653898; 141738272; 450297070; 355402516; 456815336; 427639312; 443863882; 437292931; 932147278; 1023635416; 378984302; 768251793; 567649561; 615347689; 718826733; 525510394; 160256137; 268217790; 397738529; 440201076; 722395762; 446812192; 306781934; 916813532; 897017905; 323612191; 408377000; 818495995; 20791104; 843881948; 426794363; 304879178; 609324504; 146833797; 926836004; 985800254; 617918015; 91233898; 473264305; 682231674; 84446558; 847357936; 209956694; 455138667; 797993222; 393407483; 152357823; 351858744; 267022737; 588202643; 622152344; 915274499; 778275274; 146304875; 759762286; 310580144; 8529867; 195077093; 695919414; 200605810; 678817789; 145815109; 38058303; 974808689; 536402820; 795520473; 909680847; 535145133; 685672258; 313643047; 4512607; 83462483; 451913268; 543768904; 267537778; 151316057; 859101703; 281056772; 75757356; 641970589; 914501629; 898845409; 603390025; 615660699; 737752170; 942852733; 197885683; 571233024; 416990908; 887397255; 372830203; 499483601; 101211999; 1040261403; 677440451; 152324021; 300683587; 208304772; 901620550; 691620390; 583605585; 164138060; 447597514; 573996170; 123271223; 87339622; 104644884; 501778422; 914464881; 6881937; 967799124; 547409231; 680878289; 639927125; 612695695; 819253741; 819694405; 658964528; 1205647; 721685393; 571323752; 703578254; 839512256; 366174734; 193682666; 467642027; 644619708; 879179167; 540580841; 953073772; 809966482; 664373823; 131770063; 238265289; 609268371; 988134381; 933167363; 530761678; 141140389; 143134804; 624967140; 29606760; 51016674; 316077392; 1045090405; 425827047; 218435884; 636197923; 237458508; 367559938; 1014505242; 993533938; 108148178; 520453421; 896314965; 187505660; 370293014; 517767288; 959296551; 152256561; 460734147; 432577556; 327209041; 3675733; 174418955; 617180662; 796106627; 691919474; 516099438; 849563453; 904446718; 498018234; 857232438; 1026589370; 1071998959; 289319459; 81740170; 597980087; 851254618; 710756863; 335387422; 717146821; 583210022; 1056150977; 592725747; 171867252; 410588736; 69117622; 840956104; 359564374; 358999416; 446606652; 400179025; 48299180; 196533641; 626232939; 950061682; 936051218; 678075872; 143548463; 671472332; 596714512; 174085039; 31115868; 752747827; 994050845; 742706610; 214431684; 238645297; 434994197; 117602433; 99702179; 302230161; 270544102; 541735834; 218319425; 378244276; 452470644; 421192612; 1022380677; 1050200286; 110503713; 677579331; 522220522; 298856520; 173919721; 1056585802; 456378269; 1070640108; 463557823; 1041768809; 764462071; 195841708; 173178068; 898371150; 69436073; 1008719015; 467280192; 729706636; 1025632879; 142231962; 954191817; 93566150; 786828801; 632138719; 763414007; 30157452; 7086415; 182632502; 171543940; 1069941471; 409371239; 363794433; 783899282; 644240440; 792548911; 83845633; 916881067; 224199544; 621388519; 645318979; 723416130; 125429236; 753849881; 487511778; 514827808; 697962183; 783937271; 491430465; 1022563732; 412070318; 412771012; 737835920; 501600696; 570249007; 1055166548; 611344968; 632887208; 474295106; 190314610; 536369572; 961594095; 514262362; 677233333; 654275021; 134281537; 926598311; 660543825; 610688124; 634285590; 861768658; 636893505; 391699800; 936473303; 182874717; 320997810; 862044237; 759816090; 857149263; 254570002; 701795460; 755633006; 565360379; 509683713; 694811695; 714951357; 66808512; 918390246; 1001070621; 987428652; 500630654; 77768876; 1009306668; 540819494; 185536384; 898743165; 646185711; 449667871; 997563148; 261719638; 1007945899; 169915189; 1021238875; 883267482; 657432798; 568472137; 720824881; 215446882; 767436686; 99570803; 29070043; 514200494; 823919930; 797439329; 411313025; 586479980; 920748631; 309926732; 581155458; 248919115; 245388666; 732822158; 92616878; 780797509; 597913562; 726754577; 421460253; 228752483; 215610365; 734906148; 433442420; 1051163108; 861803484; 1016908991; 787947893; 675809480; 708863901; 693740391; 113948386; 382529232; 60385447; 135773170; 117300517; 336576926; 733604785; 681386946; 954743120; 1036750476; 105556436; 698753040; 66965122; 184367965; 81714577; 809385574; 1014212223; 274577859; 41763946; 744940129; 258987337; 477895926; 698469411; 1029948574; 131781500; 308917398; 641687628; 1003961166; 487342248; 915290789; 524810524; 845998452; 167675704; 993832066; 286497025; 92639378; 294520489; 14399976; 127104845; 135260003; 57441220; 865919159; 971904174; 170755721; 627859098; 22710778; 62439507; 791248592; 1063343860; 245553387; 714728273; 1037767697; 183129756; 355885705; 820762436; 572776375; 529072639; 24703428; 299509857; 1001846049; 585234120; 768656495; 164980488; 343208763; 552324970; 796609548; 872641888; 520997872; 945536769; 636009882; 1055638833; 588759304; 572120528; 249716981; 364219692; 639819144; 1050587101; 933438352; 426612671; 291284034; 480541645; 576162314; 89344851; 1064683491; 695497611; 523867333; 321364858; 575731006; 594437218; 341913723; 468025691; 283376568; 370015146; 421764388; 870751234; 438626745; 288121938; 7659114; 643808367; 555512389; 1048801497; 251670350; 67526703; 984969219; 671406056; 468986253; 1019208279; 513385639; 959536402; 912439157; 296348073; 918779009; 645624707; 957619942; 348743367; 305061149; 1007005606; 426971779; 90263171; 500722627; 1005535824; 114885378; 565892227; 239493925; 245138786; 310880944; 425506916; 944000367; 93370183; 414712591; 137445998; 939219111; 935737993; 917905668; 450026169; 53051938; 38851019; 436757443; 925215880; 528639363; 1005895610; 628816220; 48140075; 754559025; 148851172; 421854842; 1002466016; 90997805; 812075908; 290714124; 115551334; 913439604; 300307790; 216050511; 296330656; 979597073; 827084646; 818888939; 448031240; 604047381; 627566512; 674628369; 799558720; 316710446; 125332783; 279317782; 661050272; 518405212; 643384747; 841652714; 699826691; 64681177; 903526658; 458557276; 1035589173; 366737855; 994910120; 813147042; 541564474; 525969681; 368281823; 444863348; 804641771; 712097747; 802135968; 467696525; 223057973; 142138534; 1006797331; 815130657; 595961122; 865397855; 973485348; 851739081; 525399616; 529067598; 667855182; 672541369; 604228114; 1070254781; 836734697; 542527162; 695143060; 377483585; 268733924; 369614724; 415813583; 315406759; 398593388; 439822223; 974933191; 377372592; 502439902; 169508372; 433187984; 162252128; 681472927; 256138778; 409690383; 368175180; 396601803; 485190390; 542721550; 797774529; 900571240; 83961819; 659106922; 2126304; 849501808; 937398353; 29581098; 1034974818; 79230381; 440273184; 138790403; 745205285; 703235785; 110863166; 527308867; 229011372; 583997916; 1022370716; 14182173; 755425670; 793623200; 44051000; 261649788; 2117181; 956744621; 308850760; 419729185; 707254213; 58851713; 272309749; 288598104; 237036966; 118921454; 239327923; 897473399; 697742027; 577268543; 754119742; 712410277; 688955983; 216516132; 521987877; 340551518; 711964926; 7767097; 161692961; 408700154; 1719309; 313965058; 688755414; 704059925; 929947429; 993960923; 847392910; 128514638; 799785359; 1012751609; 899030201; 749227078; 205579685; 309304573; 660919483; 1004142460; 43374686; 816328981; 728914194; 511736935; 433064786; 704537407; 537082422; 243926814; 21221813; 29663172; 211311133; 1071597837; 637245859; 427427906; 744811131; 780854502; 671290670; 606467223; 491299699; 554208391; 704213933; 162173090; 776110534; 623955176; 996964836; 87499573; 38939370; 825960522; 958652184; 135704252; 248288926; 354477051; 230661954; 62465950; 363996524; 238810716; 520324844; 748781874; 360570750; 850645957; 247291168; 994811091; 1006016432; 359058574; 200924494; 910675592; 170841351; 617765163; 314385986; 656542771; 670214094; 177518383; 1031786199; 628158752; 152987568; 631622801; 601042867; 552252476; 1040589817; 438596018; 786385289; 923428637; 111554837; 743931810; 817095771; 504692352; 398630201; 166472915; 590665655; 224515387; 163699662; 469120575; 679441674; 673158459; 654807111; 1029813565; 890097150; 188689100; 971447021; 560120833; 947534544; 70372116; 1044888078; 334968203; 264229219; 1041034255; 275210809; 154885887; 816868619; 1537050; 876701566; 205373247; 253519415; 184319377; 687948109; 807833904; 976276208; 1067008561; 681928502; 559958969; 146459698; 962956905; 101519755; 512240719; 188590275; 874603930; 491862934; 416105095; 643014741; 826038876; 404392038; 973960449; 877544662; 320495428; 628809299; 242017294; 580820989; 302078573; 867448670; 502285710; 363018253; 313269175; 262278506; 193412014; 440875807; 305970986; 795909375; 910066253; 72298499; 328756248; 666304326; 1040724384; 359023416; 287171371; 57665782; 1053138143; 882242753; 373546080; 843601265; 1031418456; 232054906; 516364686; 86605300; 354635158; 377675671; 209202663; 796599447; 187059214; 450249752; 672872443; 941893493; 397747265; 1027424544; 428148132; 638173281; 644258330; 1025429929; 137975856; 996006060; 965201477; 820928853; 810221483; 669628538; 342473697; 1064259387; 975142709; 527479476; 356660259; 376769154; 732606869; 1052955738; 796152532; 534230103; 1023386007; 565034027; 163935030; 733533944; 654733521; 745586824; 450973804; 979601523; 488283087; 209238412; 851727120; 763063644; 887931220; 1051087774; 274469741; 913592839; 436030123; 79330542; 888772237; 846650065; 1011896035; 399463052; 816299616; 67391377; 130376414; 854765467; 418236262; 169392290; 849917084; 764906700; 733074011; 1017839981; 174052101; 752152916; 1068139086; 760451260; 284554774; 782885996; 324507506; 619521403; 825017872; 497066116; 49882051; 495266797; 486232932; 432158370; 45032214; 841309570; 311422903; 995072443; 222092646; 570984449; 936780422; 1052332124; 405595757; 73343857; 253637083; 943273950; 320376865; 239730210; 764566752; 420104941; 906672044; 948883499; 952927487; 770959401; 1060875988; 960215875; 168503538; 196837323; 66252605; 461017847; 368178122; 826183554; 782397991; 1060871813; 890426048; 119963126; 526061711; 196120352; 413948543; 100525430; 82278113; 623123070; 568339293; 456460920; 424423439; 358644674; 209534310; 400568988; 381102823; 957709791; 572124498; 273286414; 167376340; 212122811; 776128607; 187046014; 859670076; 513723646; 157469941; 154586967; 393800268; 334960135; 160293942; 706353289; 455028384; 144565725; 468767138; 643202981; 551065356; 1045320925; 794314785; 419201946; 285419901; 685357727; 756706352; 28425958; 92736581; 286168741; 966828477; 296454772; 724023599; 638387207; 448115736; 862822782; 856018064; 232316310; 127113932; 88733816; 884155279; 889074957; 735913320; 220081379; 19918705; 1058983008; 813796717; 294031759; 904468383; 74809980; 381403290; 910275780; 105353941; 845465675; 374019589; 21274972; 436597329; 533613572; 326128685; 530009405; 10334206; 797363141; 703135923; 175238764; 440437214; 141479715; 509300273; 1022901986; 387065303; 863404943; 702597751; 558292772; 861892034; 859522177; 537515484; 52762697; 996660962; 901097555; 126970969; 1053468681; 408355262; 239140629; 997168367; 127414335; 339987364; 1254887; 449612541; 302746744; 706841129; 960069267; 363994930; 956321384; 559940693; 997472938; 303053610; 305056505; 789121250; 136665527; 257848139; 468215954; 583854165; 1033845002; 393437410; 403353056; 248189136; 592611501; 31837956; 947922976; 793693895; 810276190; 156132726; 358279983; 298494316; 901086332; 792208308; 423965922; 601640967; 284697951; 1004759292; 364232057; 1022776139; 118965682; 80409880; 706249472; 1057991202; 501007482; 809591336; 199814748; 743553329; 422744667; 743406285; 1041737812; 32491582; 553108671; 233218816; 395364382; 337398659; 67782178; 202641194; 557476928; 322275258; 638329826; 198066447; 232654894; 125279925; 377503337; 884802588; 178919007; 541411774; 506136600; 66262100; 1065237621; 1027910661; 658402151; 166438099; 125603507; 82674329; 360299688; 229392854; 444017404; 878034024; 417324032; 845029174; 337794791; 360579348; 927773753; 118268657; 41179660; 860934947; 729478034; 20214087; 760032659; 562007094; 902022297; 277654977; 274687732; 49317995; 761910891; 339350811; 921781979; 944724146; 530558786; 391707072; 667576911; 532290974; 718297455; 1056987854; 175225162; 900133706; 828472770; 721891422; 495334640; 599528530; 548435525; 927029920; 519364003; 376938007; 634040286; 974249161; 1054917081; 852854292; 268816813; 382794114; 125599736; 427437430; 896121635; 86404382; 655493328; 650002891; 264862378; 612986384; 125963417; 739704478; 594067971; 410394994; 123505359; 1019502662; 330916044; 943271827; 768892320; 370232686; 932432832; 623366617; 270954336; 497981713; 700615455; 114814136; 293239298; 391598427; 704326941; 338966294; 871430137; 777159084; 484248809; 7173777; 831562903; 847854165; 588272387; 1010349331; 233739901; 556863186; 258899388; 959487800; 70225942; 952275173; 375757290; 586473439; 674882713; 47507861; 372805459; 934616861; 455071434; 221902160; 242357024; 703262535; 741717768; 702086801; 809013806; 973638957; 913751379; 893391479; 427190260; 332844299; 902219391; 864073637; 511941484; 801761355; 191936476; 85158089; 1032575873; 596839729; 797998815; 1047441737; 934788284; 1060655083; 804685127; 623092827; 727904848; 494007012; 904899766; 399678207; 479707270; 461629992; 433232642; 128060816; 245595712; 220787453; 788373618; 920350216; 344088275; 122676645; 96734536; 1073043821; 993461198; 581354420; 1065937991; 347545044; 777901960; 927062752; 479810789; 337378757; 519742271; 587065976; 853663232; 423487366; 673160727; 778222102; 443703946; 899178487; 938340048; 926281051; 401154127; 864772584; 251804594; 563353600; 131477165; 348422495; 546597381; 994589203; 744413087; 998467798; 793753275; 762717644; 193665546; 1008109088; 875206745; 728007716; 470678340; 96050829; 256688500; 248587396; 10460473; 1022525186; 684772052; 413745180; 910544840; 69610719; 861070139; 796155741; 648292463; 366280558; 65498399; 130258825; 990131485; 748515791; 928750735; 156305519; 706561570; 222211597; 345397139; 979439736; 834869560; 523665214; 852377789; 758424193; 20838411; 621335394; 558512078; 316411118; 28692471; 584883453; 843465406; 421215019; 849195905; 446803402; 679273149; 996846491; 116237509; 277288319; 475661166; 326813220; 707077323; 291903685; 324880662; 86493439; 477205053; 893751703; 467372434; 121626841; 750020778; 30554132; 935345216; 152533234; 645798454; 531690639; 388873744; 962047881; 231229339; 694536003; 894821175; 606727305; 806453564; 674372125; 1028420544; 480545251; 48454832; 706842018; 46137844; 407031663; 639713941; 833531108; 804291361; 920916913; 957636551; 948904853; 770529861; 58664018; 1068375235; 434265395; 131408228; 850469765; 566063806; 940515165; 492043046; 150007978; 734935253; 152491534; 95228402; 518702357; 1008260641; 428667172; 802593819; 544532299; 601614860; 297724991; 111011900; 667419827; 1057676956; 853799183; 7260246; 885292616; 174220531; 1014580031; 358504386; 1066723324; 517767906; 508931970; 508959745; 589752525; 479759012; 951637709; 110854969; 1066132381; 983274413; 412054779; 796904564; 990748583; 580240581; 1072923939; 873329004; 438008340; 761970428; 455408517; 792941024; 52688695; 135986447; 115897937; 687874997; 20558788; 807400030; 29592595; 345684075; 732929814; 841218841; 81746921; 481365327; 270096437; 617780222; 277661300; 115361794; 935954828; 162475326; 375888178; 691450029; 320803207; 801176929; 734461719; 666803007; 664269796; 27890153; 675926376; 391174474; 402342148; 465628332; 640880327; 398573449; 231643182; 20588759; 114011217; 808917817; 723283992; 299133652; 221811333; 672855322; 118430301; 1038815359; 186416718; 847241443; 194093521; 1022744043; 514367762; 769522310; 88433779; 190607037; 787096669; 298887294; 36800825; 105582334; 269190406; 542401314; 217869581; 575184148; 602433632; 840725326; 918123449; 1009192491; 454347963; 557162942; 762797174; 600535103; 692059163; 47511171; 1009364342; 208269570; 960065486; 385365425; 177183912; 852260010; 107156212; 998103626; 805660630; 468508662; 613619456; 4830872; 351332419; 891965496; 437745088; 1071649571; 580325316; 239441889; 180646997; 546096555; 273315866; 71199327; 92251891; 947007898; 641879794; 636680720; 835096430; 432665425; 619726269; 295378058; 85077504; 1016552915; 392510611; 741856322; 341687061; 571268074; 220015172; 268731178; 76136898; 41739457; 226524360; 913510106; 108147845; 660648107; 141942946; 328486092; 13966686; 840533876; 801289062; 796230557; 699477487; 891494366; 683423062; 198337772; 563537474; 122883081; 80803041; 550251116; 1028795370; 445674953; 993698982; 950664314; 1049355468; 28056558; 611435421; 660732339; 1072962418; 655665931; 934186433; 327929012; 105660921; 553885027; 673612106; 735155186; 299223525; 161778214; 613731251; 910802046; 637807652; 161766415; 814527587; 335481654; 821999074; 432297246; 777692327; 249634968; 661530924; 152282840; 290351297; 434933284; 359067907; 507701820; 102730119; 325262332; 819836718; 880434193; 154145530; 39646508; 700800543; 996212204; 417924457; 406309021; 89056677; 889367585; 73059822; 206331799; 985176802; 916759082; 803268152; 781597024; 787887496; 572065208; 641269383; 652802867; 449238872; 413510639; 746262838; 202478123; 483346377; 817590640; 949971585; 575359230; 881964617; 305495117; 665128432; 116241952; 917593666; 1023414317; 3428944; 829347902; 759740123; 6621267; 1020252018; 1065017758; 600376923; 108133677; 42858045; 25502994; 354586114; 489396469; 181458998; 726386634; 152562091; 26177341; 1056506482; 505771870; 116351911; 953184356; 88868569; 197390140; 291433837; 460491585; 819458227; 429475007; 590642641; 890602593; 83748006; 377896981; 394929743; 746278869; 95755305; 22992817; 538319455; 345168404; 808822016; 312317405; 747988113; 1017508533; 828993975; 208258876; 630851057; 332574558; 833923069; 129654322; 104979254; 521714362; 274964820; 19230540; 319847784; 660179699; 812101376; 213379955; 540408135; 667593; 882532202; 216047988; 281818785; 1005907381; 981658105; 973889074; 775147604; 985149602; 592798269; 1045354976; 629278398; 1061398250; 243126660; 88374605; 224023845; 104560899; 532060600; 794952741; 309748107; 922379579; 72476361; 106632221; 953433317; 860959948; 1007896492; 979025047; 623593115; 900734289; 571033376; 315584640; 410600930; 645461698; 145008005; 666629174; 708720137; 997434286; 348900974; 585319534; 504340061; 914885426; 939673587; 236750380; 330057810; 187426437; 362900059; 574506346; 703387690; 773164869; 365383907; 327356166; 404591195; 474545195; 602675742; 272699454; 673747566; 458303263; 817330184; 332938870; 456168549; 743799368; 968475519; 403847209; 200948975; 380719490; 1071997202; 850524382; 689257368; 84570008; 733993224; 693575364; 206021692; 469214588; 39525564; 99880919; 179167943; 487503524; 612502426; 1019666995; 414864031; 513318827; 348045179; 620119667; 491751119; 488343171; 416669953; 338400415; 704145806; 591086393; 590842041; 868310932; 881188232; 844680838; 197993663; 792402850; 749248923; 447032786; 471304429; 241098437; 625795662; 48992702; 385247211; 781522750; 165706838; 545437985; 15675052; 396577126; 788341899; 983709481; 89701219; 369884916; 485061778; 459649001; 622068737; 195543779; 280264164; 725581884; 888876970; 54543706; 519671761; 1017001458; 574344827; 148828223; 125054541; 447421088; 996059260; 485244595; 893861770; 873100284; 408235578; 315109236; 631141080; 329606762; 70080499; 982292590; 1026403266; 350530148; 466425910; 996544185; 596344973; 606189760; 221442266; 447315359; 145207556; 775572731; 22204121; 874037046; 797848360; 623975468; 92471891; 278979501; 373469892; 724164035; 656369534; 591677658; 791333086; 715452146; 787963315; 126976977; 1044766218; 141255535; 550656211; 750980891; 1004806585; 185158773; 189418309; 742145323; 108234437; 56359209; 631213347; 727615425; 882445766; 421582441; 652818888; 445808741; 658749300; 814111987; 524759714; 715971218; 691284704; 76316717; 1044503019; 243628840; 248234152; 423812369; 570999481; 901105489; 1055820992; 770275897; 806088666; 242528666; 466721508; 125450685; 95051404; 925027100; 363087228; 285089184; 86042794; 1024823652; 569541859; 774850335; 575237575; 854389930; 33825098; 398765008; 452143736; 755813755; 411140196; 480655526; 691757068; 181357992; 765226216; 452267662; 1061959337; 44583295; 843080921; 372023830; 575269074; 957538898; 137174151; 846825117; 651678447; 353202313; 343929005; 564488251; 271667222; 825748693; 627203250; 999053614; 928897855; 446233088; 1058382056; 419137441; 448988624; 411942950; 888646082; 175316620; 422923745; 178185150; 175867016; 77259909; 1016319026; 916188840; 215048458; 174994646; 53940270; 1070677069; 945724309; 699543781; 406445065; 298297356; 543915105; 169501495; 936128778; 571784722; 761803515; 690495095; 204118732; 146170549; 624328087; 51023606; 974152474; 127356874; 1068927122; 649884891; 628426539; 739198649; 876120311; 261480414; 252748576; 1038918696; 626119113; 970590699; 945199843; 931939709; 951389343; 1059965173; 135159941; 888812970; 1007284014; 741398934; 434350523; 474309639; 473706375; 841608488; 1051947142; 1010889973; 541559699; 84356711; 386571969; 561972430; 650944239; 3280185; 524046498; 1047800426; 346876154; 160660089; 731426474; 1047954344; 77120669; 884605363; 517213655; 464815379; 249299570; 630605740; 978827326; 439911333; 90842420; 925407059; 105386511; 812498244; 281114149; 245528346; 582860372; 278819655; 140492412; 836980928; 620524152; 998522991; 194446936; 637997957; 286473441; 141719176; 1004014682; 299671430; 387507635; 958363081; 650705396; 837559618; 851369569; 210803086; 443295649; 463394055; 971483480; 740970664; 19537188; 774559862; 990847686; 625907427; 182370909; 925172793; 634008005; 777268641; 681155659; 707688517; 940923376; 275562462; 315751472; 738816412; 296562347; 231621920; 911173714; 692377506; 658700602; 931687609; 849051062; 686087551; 268509146; 667788887; 836457987; 192087909; 918409376; 281847566; 213878231; 1072339166; 112764287; 725627350; 659296767; 702837990; 897924291; 969129248; 21502984; 124757989; 253614705; 384851107; 585692628; 490615781; 301223015; 727047146; 207859851; 180587658; 693284971; 731390868; 423018786; 650363187; 242067447; 115934704; 486285328; 125241192; 916827603; 409301946; 447486348; 1063274266; 617550044; 451896062; 257959149; 693838679; 1059289195; 1007055064; 710960384; 612640126; 27324253; 284215884; 481967480; 406058284; 381092466; 352216766; 727935753; 581319537; 953137396; 138026791; 88953138; 575140009; 512899532; 527745760; 851610338; 744626277; 298417848; 491903799; 184055138; 457385552; 113974641; 780197418; 150404951; 916846547; 311044547; 706677577; 449570873; 1038677875; 523170853; 373921719; 321526012; 111756823; 885566415; 441677206; 823483179; 172657553; 600986323; 761556263; 346026143; 724058764; 600593461; 810217824; 18616217; 324601126; 533330283; 509204860; 578869982; 649745701; 873476379; 127311917; 705615578; 99683130; 449443028; 936060197; 505525683; 439098966; 32802739; 636958773; 1059725840; 1008410814; 578021574; 604171857; 184231534; 108778987; 549085260; 1050672361; 375195894; 675936149; 404384532; 1030116173; 508767770; 261936477; 732405258; 996372957; 57158456; 521292100; 848258930; 713132548; 927052474; 42230547; 651329346; 598777829; 940215035; 290025543; 767126983; 701953408; 570547154; 870840061; 380632557; 1046691492; 537244594; 776686696; 801342583; 322031838; 370851555; 699604382; 826401080; 131829642; 6668355; 825621933; 395230468; 669777502; 143314488; 844156948; 866786574; 315501783; 627681950; 625499524; 355939748; 590330364; 125981731; 23695064; 991227627; 578865761; 158045973; 737937573; 379922093; 196577348; 85469206; 889344083; 931773370; 958689916; 297749131; 156221556; 201013228; 1002392528; 256168716; 370649655; 161746478; 339598747; 577964533; 880144197; 529320523; 53122420; 198480705; 567693344; 334644580; 555537946; 1058268737; 446172562; 882445035; 669080567; 434311208; 228439698; 897095989; 427649153; 566942603; 372296213; 668519021; 876344155; 1019214991; 649852513; 391739156; 596822957; 96755467; 703646180; 590750139; 843771545; 107117710; 323734278; 27874098; 207436538; 693818883; 966370133; 481687308; 154341210; 741431267; 992171826; 1016511089; 109779256; 237387815; 177178219; 106086923; 53816990; 774094241; 109425492; 338243330; 1024604408; 303658395; 265153498; 215143919; 405909028; 375151915; 357379457; 577937491; 27614100; 641296141; 388953910; 688675709; 128327000; 517667984; 230659721; 512593072; 30252314; 801120307; 818068911; 17566346; 449031920; 536720420; 36651867; 138432920; 161998131; 338074208; 1059447113; 114180226; 104999671; 665154948; 284588087; 830956681; 139277807; 660786297; 236621525; 858769772; 197165809; 24041829; 453733797; 258772949; 108270720; 1043878714; 919417757; 38850417; 364682077; 53408421; 550905994; 381832568; 145127361; 800540459; 564621444; 530784156; 1016094825; 49014035; 177921990; 353849744; 141084528; 288319004; 406299241; 35780464; 856220886; 40916663; 1017818286; 929200167; 529419868; 675703122; 426917528; 739824623; 23382588; 1025076283; 783566913; 367900562; 25242460; 484194498; 444798789; 867176116; 288006785; 327788765; 269869598; 12458050; 476385741; 902048523; 1028250827; 532934319; 77836921; 566552715; 159863556; 801984937; 115725358; 234513145; 699957922; 1040645246; 237197628; 1048681386; 947578749; 562416120; 252557532; 495151482; 423958828; 723740028; 890546203; 115036241; 134027498; 188742316; 954918641; 687808829; 856606944; 577684887; 530684270; 156064775; 160353353; 5380419; 804517410; 677919526; 349160997; 466509374; 464359567; 982951432; 974117702; 176568418; 618059163; 123831183; 1072413596; 768761001; 895914351; 640620491; 342284345; 824523011; 357381817; 447447964; 380267499; 892368449; 616574871; 718025650; 543343203; 77238; 254323042; 289462960; 712450597; 543390314; 533278638; 698134882; 357339402; 914405009; 91269314; 763396183; 551630213; 765730257; 1042323218; 579132647; 624795725; 894331322; 461462346; 337118240; 795567929; 922798652; 626931491; 580697973; 703364050; 531293452; 584333860; 136547884; 985218672; 201644624; 240636350; 1027362252; 530711263; 1041417034; 829649916; 324130118; 77502264; 502377053; 123097181; 259967896; 478310115; 143833203; 891479024; 631345363; 1022439056; 1036441087; 341886422; 583866404; 971345882; 447305210; 515654113; 463930031; 940771302; 773878160; 239168525; 881126206; 559996099; 635525816; 961107776; 872774150; 23467008; 596164982; 570544028; 892294759; 97658623; 12266205; 1718137; 671954301; 131946933; 566416892; 686457881; 896547269; 556004785; 404692619; 193561242; 45343815; 128330622; 1057533444; 210432113; 340928665; 459001491; 965387421; 565153820; 613260986; 219708423; 862826135; 457038255; 692524400; 92639712; 499525791; 130175845; 546073470; 626659739; 1032060412; 706931486; 360647238; 226510424; 776567105; 936071174; 23571243; 849467550; 988988504; 25870322; 954508088; 230844905; 620842821; 517600999; 914927905; 742725597; 245814205; 868402791; 863121120; 490630258; 734113186; 78467782; 490544994; 572079592; 867438321; 1038271300; 456261471; 878273211; 729053446; 586194681; 656855157; 797630596; 449443906; 526128361; 963579845; 34833189; 70681288; 769518794; 187090370; 625146861; 931928273; 980748682; 99481453; 611150411; 878105360; 602377166; 337071482; 329985672; 869433791; 952054212; 720919006; 41795599; 980503084; 997729796; 50051185; 580561612; 335442745; 296197018; 71658162; 758728835; 183097403; 363066211; 489055205; 299903773; 305582101; 1072445366; 250489873; 382035100; 181380613; 830271133; 606049953; 852109539; 91424623; 824396904; 528252251; 908801880; 524489733; 702901906; 792874633; 229020038; 1012087433; 343185408; 687934928; 352924428; 343872343; 635392092; 709730262; 844179423; 296431932; 926630789; 437151802; 43108479; 269437314; 716812911; 277055216; 717770011; 818309184; 247052056; 553487337; 51614690; 339173099; 531286010; 268203668; 93450720; 233550138; 699988009; 772032705; 24172189; 583246830; 554609250; 121384006; 733996146; 997969615; 647472984; 745579042; 498227158; 3357839; 660395170; 351499618; 351311563; 816785783; 417698696; 720526814; 864805875] 34360) + +let test7 _ = assert_equal 1073741823 (minOrAfterOperations [561899403; 446769935; 445347738; 526821394; 159473550; 893329741; 370495610; 636918545; 680661225; 64710305; 879808134; 393751123; 714379067; 973823054; 1070662144; 690774625; 232047947; 811697446; 660278907; 461570285; 601583867; 608685537; 813724549; 719567941; 793155929; 736071879; 588391400; 836106977; 355503708; 587279800; 441602152; 65024871; 654870749; 559450009; 45162210; 1062489496; 964565307; 732590090; 315025718; 412592241; 491136562; 56593735; 877052184; 538108926; 961248658; 923769505; 723272697; 540473088; 995558192; 701290204; 470802822; 559912911; 292050936; 482337831; 636939491; 468999704; 160628081; 756303626; 334062939; 348333623; 447733028; 731168903; 781065420; 527220414; 71442406; 548928936; 914486336; 666716824; 100986831; 33504938; 956814806; 1066182448; 47447118; 61868777; 167719176; 630818411; 93661482; 665362665; 598048521; 536189372; 544327942; 610350492; 427394825; 1025946136; 159961364; 955656675; 463042744; 631747217; 479768020; 269131463; 886118405; 126691247; 177351013; 430343888; 231331746; 613721246; 192078325; 223021760; 875006684; 528685836; 273783403; 1046103710; 363728706; 266934724; 370602361; 285858478; 897522034; 145700975; 967162050; 129537078; 688325610; 228086553; 304358730; 267725652; 348426115; 792642173; 240955238; 247256989; 1020482107; 905140380; 736579709; 357062547; 888278110; 258312226; 941393128; 891655172; 554528239; 997434806; 836645764; 509860986; 854883932; 487540684; 760827796; 318838473; 965266988; 130441684; 1005285476; 357692721; 824351692; 480602892; 1042679523; 729216269; 175200529; 978741828; 930608520; 778460364; 416556819; 850868732; 374271984; 1030793295; 362800447; 760426758; 283586147; 676912742; 982984612; 517712343; 41392501; 232116703; 943026933; 1060830112; 239469447; 1016339916; 20080797; 463379872; 937854755; 1062022827; 315234487; 400345463; 1071570448; 264031621; 999248577; 839677474; 897297484; 252161387; 387261886; 223377129; 434536991; 349117165; 112985061; 11586296; 872445184; 159896372; 202917954; 6653952; 221014531; 1033998391; 84442649; 777450285; 47667260; 976353259; 205590826; 457748745; 864910584; 562214675; 159496512; 599572947; 595616810; 25199110; 908583819; 683644639; 706345307; 944764264; 105660142; 1043720936; 821299857; 126928143; 256535631; 583064909; 525968866; 352047352; 325845536; 446727483; 313950729; 598848699; 251558094; 737094827; 740862912; 660275177; 409728043; 1022291712; 62787236; 793860456; 66044711; 172357256; 591316576; 210208973; 173865613; 486989736; 603324239; 665429556; 404848662; 875249449; 786996604; 199397429; 1054274161; 137889381; 142368501; 716266273; 803980296; 533183364; 499141079; 385678357; 568616645; 279264611; 344989850; 511745012; 590362112; 447076055; 55314435; 809342392; 645269151; 78311715; 860925720; 179452953; 487281360; 241709136; 839229904; 494310396; 71643160; 839718797; 254414049; 506730100; 894575460; 161961505; 819617870; 893932132; 40989959; 228284450; 435648186; 663475253; 277182097; 318774696; 623506272; 70360235; 1020973508; 550853368; 725673053; 162565641; 597741361; 407885808; 932312605; 538550487; 410968365; 467979994; 682372022; 42324527; 979735447; 825724794; 728939629; 312561122; 768108589; 690957083; 655120026; 148986212; 247735010; 841306598; 534685285; 54069419; 832483892; 969153808; 741237561; 202214685; 33176233; 138844308; 173187579; 707552925; 844541328; 91661073; 798490123; 688444256; 824022639; 217817380; 98235893; 753610878; 151374091; 435875617; 822889410; 107932043; 152381575; 402337381; 116244351; 726297854; 335309913; 359272777; 465932350; 11779909; 1037931747; 764123505; 790612566; 453915236; 138848278; 1011289031; 232461123; 705099324; 255360323; 510493704; 869163728; 117746327; 372406176; 884588946; 922835708; 276141330; 246348997; 258001101; 427112633; 826151424; 894190270; 967574880; 768236713; 330725428; 515810015; 643673054; 888989829; 729691810; 1049722182; 138303439; 579091606; 885613454; 550666044; 878582799; 504513654; 774212672; 138456010; 533567993; 553281975; 197449736; 520112150; 1053906666; 764302587; 567757151; 881305963; 1002656957; 594525342; 145745379; 309141185; 544905166; 1028621140; 514442092; 869609105; 994528947; 935255561; 822020162; 275860138; 81232114; 111975739; 578951244; 391750423; 1064561694; 60078546; 121872733; 132690151; 916382; 952515654; 848827949; 943471195; 329174788; 61623749; 83505018; 132225053; 91241365; 242357945; 404364501; 333034421; 993824062; 542784817; 1018470956; 368054624; 285199438; 376321376; 958024727; 869420468; 678050555; 116310929; 472215956; 314199760; 1060991029; 868829317; 1000549384; 603407699; 608000790; 256233533; 91429353; 444142402; 949197672; 505872601; 417284506; 761214406; 853423935; 676367786; 413004949; 1053641603; 38113286; 821178566; 151110917; 165525995; 871897699; 29128577; 471381286; 838201347; 336159732; 978193020; 1018555571; 890924902; 242540934; 170694724; 494228995; 807969528; 390565731; 845060377; 127365826; 955260908; 423258663; 1063830320; 589111175; 342560241; 531254453; 1065698796; 285313040; 489286767; 381751214; 298137249; 877744132; 524125846; 776534180; 198632101; 102348445; 814900826; 239959466; 697288288; 862741152; 888897795; 1033225630; 511915371; 854709388; 403422869; 1073471074; 163221739; 981218679; 66138386; 197808615; 1004393963; 139674994; 318692068; 393459098; 973667642; 578861969; 297654841; 224386617; 587588893; 1069203873; 882022737; 839593830; 785643400; 109812811; 829099984; 628790850; 529947820; 301226981; 918516960; 615411745; 52762737; 983770218; 24239990; 538581397; 34904062; 699004530; 456601218; 648405867; 494120504; 976602159; 1028227200; 613000341; 75530039; 674218260; 644999815; 413704405; 329082923; 250194085; 296075937; 5488470; 924273293; 337983974; 420649800; 973748212; 440354251; 796296767; 295412613; 854217941; 694513167; 805231777; 708293601; 293243828; 300927735; 923319497; 771100577; 356940558; 943482768; 808191400; 185151805; 891198830; 165393581; 1041033709; 643260927; 830959043; 655644059; 860517796; 1026681631; 318785537; 687743446; 180785965; 643765277; 930229942; 641447774; 959771898; 92769388; 1008553498; 422077088; 132545172; 214936643; 901971583; 1009845788; 25065594; 196768820; 581244587; 59628887; 614359066; 1046476790; 278774821; 202043656; 707951849; 1064101034; 987991381; 343621861; 879487446; 183413135; 1057298471; 543511504; 490659212; 117208050; 869101750; 159552432; 715538509; 402398364; 755036152; 437040938; 108968695; 971082201; 957614399; 836593107; 504930332; 129712144; 1001647255; 17193170; 530170372; 656293894; 522390060; 470852379; 982964843; 974798794; 39332213; 718575071; 474706602; 1037807783; 910855069; 94357138; 494348189; 430330836; 343317156; 273613264; 58882160; 209001502; 507333911; 248068990; 432889894; 553978168; 1056209393; 401704425; 713221539; 562736379; 283425472; 609320617; 101965632; 391162630; 926055733; 1066841834; 203952291; 194960427; 908611352; 317691926; 306013214; 51143118; 567291991; 518008234; 688367863; 546366309; 797376706; 916467082; 28211358; 980076799; 158911012; 673121600; 833143011; 60290143; 319945837; 913040789; 787457424; 98266551; 291982639; 548929495; 114090556; 665151459; 662189872; 578095322; 266321748; 112563383; 776334819; 841876062; 63212038; 679085230; 923971253; 744834649; 728810387; 920034662; 1059048626; 64905123; 339668083; 514524839; 827416695; 65176778; 529097241; 624648259; 9371011; 313060544; 390847571; 997078619; 710491741; 1070008327; 10401354; 163593456; 917603768; 657744096; 178281325; 345731995; 628742286; 1041860449; 709009423; 898582639; 923072673; 305715817; 664290968; 279370930; 417991421; 831316939; 822076535; 680266753; 820070999; 11400689; 713846812; 516716061; 58965426; 626812192; 160563666; 252860723; 405355188; 481124033; 232244193; 501219535; 792888276; 865094687; 98134877; 343169471; 266197786; 757098275; 477181720; 705103905; 693416734; 1064692537; 801663279; 32937861; 384728326; 915458804; 666451701; 474178545; 753995541; 127557178; 747257351; 341216276; 513306798; 270911627; 181389237; 22091068; 2924466; 82905909; 763628276; 1019177548; 820377097; 285772978; 346584670; 81764845; 765649447; 936759305; 305667842; 240681883; 81224263; 153502928; 117189984; 142640449; 322627305; 998781849; 710421691; 442214485; 308299203; 729692122; 756199705; 491303387; 683951501; 382688700; 635783557; 649796025; 912527793; 59930935; 247805232; 639915046; 940591421; 137991113; 257563942; 658512907; 141553523; 60180443; 9160272; 216138424; 84598201; 552817222; 822934477; 100081986; 452414901; 970485968; 540421558; 591605108; 475900765; 619070437; 695818429; 293512238; 541232394; 903031766; 724759848; 139971951; 451924890; 131532151; 972121441; 212460889; 878749894; 511908038; 522484545; 262820073; 799383461; 295176290; 830507198; 578597197; 531995765; 149236703; 667164; 366553145; 188780601; 129652283; 134946225; 471442941; 869690132; 390888124; 686407491; 7213664; 83354365; 947507029; 404585821; 894718430; 992150796; 305968010; 41863874; 1003022608; 909105061; 1007462559; 229382513; 317862002; 914114411; 100792980; 326662068; 28245842; 981940983; 260311798; 865375313; 61336084; 69172458; 649568367; 421837796; 922541881; 831614025; 820883851; 357740018; 898004320; 293376810; 651656983; 216443955; 498998181; 722732380; 277617605; 265280897; 776238849; 677442369; 418828787; 870134869; 944929044; 248161056; 853135419; 694294322; 439963245; 368929022; 704309090; 694907752; 623241949; 421813646; 313979965; 922108590; 931278697; 10821420; 439195777; 404287699; 900813594; 159418285; 408248676; 39110842; 781604949; 533195103; 543432391; 499928144; 999577750; 299824617; 319914086; 299692081; 405657700; 1065915606; 22544478; 40426201; 557066593; 469541520; 141665605; 656094626; 436231335; 328057112; 424281319; 597691694; 597698719; 31823913; 390374963; 184096842; 96994739; 783539352; 521055396; 169342596; 617912959; 650649062; 771819535; 158749823; 277829836; 984186070; 886452114; 185489402; 228758462; 961716667; 883157465; 635590308; 539213727; 987370696; 176700159; 151405718; 531364949; 1014186269; 4608581; 1028673126; 585897730; 802213178; 272606551; 287376269; 212362580; 1040439206; 1041421035; 254391045; 890138662; 421308516; 959156327; 408663037; 335611679; 598683814; 31784017; 963283773; 800471991; 933803878; 791650566; 973170801; 181826695; 129171525; 840352012; 80317094; 173782520; 217864613; 894429543; 549211372; 162643305; 765471441; 764122728; 158459930; 940788718; 259643181; 373282676; 870721533; 750056384; 518644405; 510979216; 356829852; 618584207; 386860024; 292424641; 461203710; 836766535; 974969624; 786925718; 543952396; 488287144; 991130866; 290641970; 1022418105; 240733048; 754419629; 795457354; 390545473; 58069628; 603337703; 668826680; 119496186; 728139201; 868725853; 369759719; 483707250; 413936908; 929352432; 964740873; 640301651; 1069671818; 247034825; 674029071; 356515523; 502366578; 347041282; 161094222; 969148409; 730947935; 1054102951; 965684547; 804637954; 830788198; 172137569; 434688430; 101652302; 641770090; 825833470; 950849948; 601490130; 22495775; 866567765; 522186273; 670134013; 829156790; 101432454; 677510341; 895143409; 821883249; 159776925; 293263794; 708610774; 415459896; 462581826; 717144220; 232973751; 387231519; 1013347524; 44544277; 331417785; 342376373; 11916190; 380814140; 891335223; 266031590; 712186267; 603480226; 984238052; 444648489; 808633353; 398805570; 315013944; 1050462629; 638868407; 775199301; 332230578; 501198191; 772218089; 228975542; 233162491; 734937320; 196375451; 120740750; 736554774; 1031556448; 977666579; 207587218; 486878291; 444293229; 118639782; 127429237; 393255519; 2726573; 610238508; 41551454; 549426619; 922609654; 464821751; 590956681; 754609136; 598923959; 798186612; 766488300; 329637727; 562632104; 770566755; 4440138; 933469590; 730810796; 113940424; 758612505; 700346661; 989219875; 1002832711; 641961563; 389288771; 164246000; 339991553; 462309813; 887975814; 66576940; 318328095; 456332771; 842559230; 1040160392; 542719600; 475879177; 729707382; 999763376; 89879429; 488309641; 9434160; 741106387; 722848541; 967939420; 991651958; 528584790; 162257156; 227800541; 990098045; 88748622; 183125323; 422957707; 565230868; 99083166; 978791425; 474582163; 23973745; 4177842; 691582087; 71729381; 643330403; 975501061; 339401744; 75769768; 383411430; 197556833; 1051996809; 48344626; 360388892; 827232762; 909341371; 385086411; 668136348; 251716679; 830528313; 316224396; 1019885311; 691554504; 561995647; 842862276; 555426629; 382605284; 575391986; 806008550; 320741870; 329373104; 340062779; 590173012; 66877337; 801120766; 406303805; 912957013; 694232813; 485069537; 134398041; 400788445; 358818537; 126100581; 480773800; 265891815; 292874296; 528585572; 840124682; 971767061; 184023478; 16754736; 1032036667; 776516274; 436282136; 154725169; 76873473; 212156715; 269916910; 928926512; 773472319; 686178150; 309235034; 687496457; 909952295; 164654704; 1000676474; 513094000; 407116059; 587356253; 994178945; 1060293397; 97557372; 574703807; 677352942; 147120124; 646333837; 925353675; 273910396; 782365088; 963390574; 459469153; 118948441; 881952465; 69923944; 387641492; 519533597; 1026420599; 81898009; 1012723000; 420839289; 820372505; 922735585; 862396791; 606438053; 377241735; 774473867; 522399788; 830920157; 181423518; 75415751; 58656800; 253064908; 920161331; 298133290; 947950448; 225218998; 391855104; 379192577; 564478247; 173217136; 43273753; 699719658; 316791602; 883779982; 674270858; 402151016; 804542778; 7300378; 114740532; 802310140; 568989102; 864729437; 331069896; 149120263; 740533755; 735353773; 26378776; 680571827; 328749645; 949899523; 645369584; 194960127; 524788259; 216973285; 124146966; 162988858; 700793028; 894088345; 180242124; 741090797; 858646453; 51866950; 488421934; 914228665; 838934126; 604088460; 703751705; 631467366; 177266544; 987510429; 813555373; 1023211697; 1042784620; 654354690; 17922851; 158326159; 170972089; 150047436; 256413402; 307651840; 984773102; 45572016; 1011041243; 250547648; 859715184; 894386566; 488081148; 391253536; 981843894; 220933734; 937480361; 200506062; 507226368; 260513957; 79930546; 335930565; 963711236; 43899639; 421030288; 338044672; 1025736185; 786970483; 768744069; 1063258496; 955200905; 913101870; 669768657; 525532223; 581054707; 348797606; 727216236; 1265133; 211632906; 228924392; 510883903; 314723260; 78292817; 887761958; 76600733; 48903695; 664205792; 927297855; 449678926; 615150932; 1009987796; 426702034; 647717835; 903036049; 79642275; 683645494; 753048707; 287313423; 676592886; 799931027; 811506595; 238796801; 730867693; 203729079; 381792054; 654353057; 19265435; 842963684; 766178424; 535437002; 303957676; 954257547; 882189799; 475796926; 640209825; 868834243; 300677764; 1044044078; 1009395569; 390431402; 378275151; 524073486; 241648174; 166340401; 608327842; 359882936; 459354846; 125247607; 980239366; 458620404; 144397679; 248241742; 1069796812; 294371130; 661516970; 95264789; 770613174; 221663024; 825033424; 798218326; 986340319; 850411783; 140925394; 792684945; 522197611; 868294169; 994859594; 404549048; 170442712; 888332843; 630832327; 91096948; 35076976; 496890142; 815255138; 854415848; 367320929; 899636106; 259579224; 322463119; 500333465; 906820933; 488753477; 937569685; 459019204; 851857722; 890005198; 120629400; 506168142; 561503732; 832846544; 907328331; 1059945133; 433698238; 965662932; 336224687; 596846924; 168518092; 25287183; 520267884; 693923950; 1020909672; 747166167; 191142307; 712196450; 116501524; 747497986; 427631469; 739486692; 801161485; 622324404; 331289869; 934368944; 641610051; 518683503; 483143194; 755847875; 780031354; 67187419; 718241721; 905815957; 1039176853; 330573107; 83211863; 570999014; 312744316; 704858207; 616003047; 785149792; 802291003; 58975654; 796280691; 122653742; 739974833; 687169661; 613663303; 273293465; 629635904; 36293235; 297450316; 438126233; 1037848792; 754955246; 204322288; 979693892; 247897063; 868107948; 951154552; 708582065; 544574412; 647152305; 945967419; 137209286; 1049518587; 901659921; 167203009; 577888923; 494895111; 391743221; 134989736; 1017325871; 25900088; 849533595; 828555510; 14478476; 927889905; 947279058; 508009343; 724347660; 365544464; 455547521; 347349859; 940840724; 1072856751; 888059327; 346938095; 431366370; 344239301; 605733280; 658973266; 1007354565; 719736832; 445001830; 818763922; 185319142; 816337790; 398395273; 119625359; 271237765; 256466251; 384692033; 593174906; 633838151; 580861411; 58345914; 205089393; 1061952663; 477426895; 681059429; 337137564; 372462049; 850940464; 986912913; 417709830; 236791162; 658606195; 698643955; 356996252; 702146539; 658356265; 680608124; 171621143; 961942347; 782561302; 562305487; 363947978; 429086098; 534908131; 542903897; 349076735; 263989530; 132905117; 992607416; 473102662; 815920725; 407841266; 371853855; 751022717; 523119078; 197310031; 346534280; 74657127; 914250795; 1031755894; 112222184; 749919502; 38280307; 238379544; 321338361; 726694188; 850611808; 745018542; 855256125; 927968903; 250487475; 445371026; 704075376; 495826383; 580344864; 596950546; 192583221; 975132973; 358485240; 442199282; 550744143; 831887817; 247128381; 1007184534; 370121004; 977928184; 552209559; 827692331; 891048032; 957459817; 348993370; 343952698; 647785827; 656225971; 518152874; 1049045807; 1040018814; 1002284857; 733370575; 943058467; 506601170; 64744174; 1009851006; 238054963; 304442520; 902387217; 631522680; 494017055; 588105230; 79079111; 98747856; 1066604196; 299093503; 133163090; 1007669030; 346941737; 887646834; 782909816; 1016513259; 963488903; 924491181; 585738473; 267174332; 449461628; 293873674; 853844552; 197338714; 45342510; 238412210; 64064718; 387518381; 828278338; 230519750; 228812889; 215369983; 268231103; 804508521; 1026792838; 988107716; 689334530; 664894995; 198448759; 878758402; 377000804; 192653714; 458611046; 560679620; 160212529; 556964898; 102113373; 465449283; 369918524; 409057128; 114765900; 531859396; 221034878; 741725072; 274090755; 970195357; 850633375; 810114971; 487155245; 519653477; 656032531; 177061049; 323457496; 57473017; 554530857; 469413632; 886941715; 35701031; 530933858; 10085791; 617119894; 904233668; 360262562; 659475529; 183748660; 803505600; 970786294; 908857375; 452796772; 69250782; 191688299; 391548896; 944670082; 223891867; 2407870; 139839593; 190837420; 34261988; 752163907; 447988395; 773099279; 227992773; 616622061; 20363316; 807103736; 112986324; 326309960; 1003583612; 754239278; 1002913340; 175342708; 112050773; 326076909; 226619705; 893030295; 750392974; 1037648814; 790662405; 1043206080; 692557936; 163403304; 942270898; 223218305; 1068429420; 1048535976; 287950992; 344090145; 518611278; 768663379; 1039566235; 319222487; 584695241; 516092003; 211405984; 330044146; 569345037; 751193510; 799031185; 47378360; 515180085; 889051353; 625824240; 579260395; 348425745; 1022999198; 22105349; 287739332; 470120060; 945621665; 1035082399; 924821933; 484648722; 658737976; 447651079; 908339841; 262533503; 994159133; 828103147; 747794185; 757811059; 286662401; 955855888; 947384647; 623108891; 100685292; 966624139; 620830734; 295516403; 10242783; 876283723; 1039176425; 875731985; 681774303; 403179658; 588407466; 574776917; 777557931; 260624802; 412263822; 1072717395; 323720301; 544651776; 175527435; 834295275; 692958428; 739164205; 1045089519; 977714426; 795706362; 202820838; 846741708; 655344024; 60803660; 150400168; 994529655; 497108797; 1036690261; 785903106; 451070995; 539682823; 47631477; 1007096231; 1060457881; 770239022; 847453442; 547376215; 311406815; 31132366; 1014369779; 83820012; 543996883; 406802100; 523849058; 13992374; 86371016; 185110484; 826488153; 218079215; 1012451123; 496116504; 312888253; 60645318; 687487302; 948321653; 523788032; 693272868; 5942006; 323172949; 544680799; 407765510; 368970065; 918422172; 130248652; 539367590; 80268122; 564637740; 815573754; 32135516; 626877639; 120311747; 703998515; 681620319; 976850773; 950423667; 726686427; 88851978; 541645182; 1042477070; 741371192; 678257463; 671222746; 189976398; 221609772; 208374539; 127008261; 387586958; 636510008; 810698186; 55144035; 841660741; 810919728; 762789145; 1072012360; 681525832; 791665315; 372746339; 197862085; 1006897035; 703887568; 1030187235; 252953274; 142892470; 448029658; 657576525; 848877775; 443711283; 951563298; 915600745; 873593788; 448002743; 227946095; 1031885567; 507258826; 1031178764; 10563503; 507507394; 1004347724; 735507219; 316488348; 900631639; 605302986; 220684517; 96800067; 920077085; 218138684; 39986986; 170579726; 774695809; 41355918; 576439587; 19022986; 85002311; 737061781; 320732221; 748676229; 676417325; 892169081; 825060560; 84182639; 999899280; 325544977; 859879066; 1071950414; 91888153; 976693230; 449953705; 281068071; 222438170; 323688033; 508252081; 961325034; 334884755; 552724251; 51994028; 383525770; 538766251; 381886484; 653222826; 435062696; 655099363; 249641065; 149443055; 922851863; 713779264; 147419814; 883451501; 422487300; 164057532; 782018293; 453891949; 30788291; 307619484; 48483312; 899064950; 730108319; 13048937; 761764997; 734191545; 131919859; 46121787; 765887632; 708916543; 894042874; 257491929; 779014106; 592698434; 794889520; 224986286; 261074203; 97433631; 890184015; 330282497; 749622513; 794105592; 1002938071; 394587016; 9414638; 128494928; 446357874; 836760273; 889190400; 234511108; 953420923; 9261281; 737821702; 7626653; 192681246; 246303500; 478429387; 982793347; 195696596; 355531278; 475606223; 646233749; 119931004; 524304133; 479932031; 725050671; 103417122; 306091941; 233148206; 819190319; 749612852; 535092277; 948214305; 184370395; 751231365; 778786008; 154322824; 321919572; 872406269; 461919134; 951474211; 866544689; 385185035; 761611441; 560652707; 1004766328; 171952207; 486685776; 575266750; 451138726; 328883416; 740544034; 777546932; 968268814; 1042637405; 953129289; 917870484; 878569684; 294587050; 196742045; 693166880; 106023749; 463760073; 482781034; 917475338; 1011571451; 764036993; 300452066; 990584189; 787510385; 932024878; 140882495; 222726624; 873330802; 1072844391; 96272947; 824151880; 783563554; 150066895; 501320277; 471071973; 670123361; 399652346; 282303449; 835664455; 244295105; 450121229; 1029782776; 2802344; 908721959; 970341022; 138331239; 553427241; 326896247; 129259386; 39735665; 667186182; 562311534; 7341679; 284646489; 735871980; 704863622; 858855616; 580582994; 156084404; 597496601; 9858061; 426614600; 188132738; 1017246593; 595904292; 761146316; 790396646; 86323610; 761406328; 818059108; 735873539; 173543119; 668230834; 899648333; 783605863; 265698821; 144871247; 912853822; 559004858; 46381899; 1050875616; 532828513; 468596776; 332178659; 723225474; 310502443; 467243308; 1066283542; 514209648; 621051547; 135681982; 49652142; 798013145; 66665505; 840190936; 937748880; 917564120; 331579727; 983926449; 1006500609; 294497991; 880261943; 269484990; 56922971; 808269694; 187371818; 973571015; 510564921; 15643006; 679227210; 717307192; 290032219; 824415836; 350236861; 704126618; 714411498; 558273742; 1014027812; 374365988; 10336987; 126978709; 679772821; 732108293; 327950239; 484506225; 571973068; 461441709; 363088108; 60797539; 121197587; 744058365; 872633609; 69532854; 804989407; 414121592; 155209086; 733434683; 628213678; 88124773; 183171025; 195512044; 999849272; 868121795; 798069447; 16249255; 617850884; 34366061; 563464252; 1034389947; 788775049; 1053911580; 672778114; 229083081; 225591481; 497599301; 538406002; 894470085; 198310573; 325837103; 171678746; 641980836; 962189926; 882343941; 40999777; 308979758; 86881515; 959432973; 527064748; 1068784383; 486196509; 970855920; 118286867; 498370184; 556820597; 1007998986; 690279610; 341235561; 322472124; 663280540; 886911046; 359033291; 154020189; 422215747; 106177579; 282009045; 707059091; 376655871; 662241152; 695715494; 97220917; 860861196; 804104305; 1043113537; 74300034; 1030400606; 983099468; 558566479; 420876509; 168995581; 464259955; 141506357; 430534284; 185265071; 606257607; 365004534; 743367475; 754611517; 786345085; 52432081; 372328838; 1025383449; 512920817; 320214196; 84477855; 557408565; 297853000; 444061301; 877981603; 82215127; 865413329; 598182777; 598752598; 283456618; 319425805; 703986470; 542707910; 785747812; 973712819; 675027078; 949124662; 165805963; 249070192; 353717231; 1039758806; 211512154; 678447381; 198843972; 207593875; 1026158027; 703198979; 148585757; 910305203; 28609864; 19277331; 277396042; 278147076; 660178527; 489242540; 1037001208; 778226772; 544158359; 843194463; 631361348; 90232082; 963621871; 91091499; 121206028; 790685065; 247367448; 106835331; 684568329; 322094130; 69287102; 620450479; 998845376; 266531382; 428559399; 486984065; 256987038; 929365704; 479820617; 717248715; 991585438; 1029398547; 292832594; 872536125; 683440737; 30436596; 377208376; 617273560; 835504649; 938536523; 1025566397; 1050276855; 1038238944; 278627594; 817750800; 272507382; 113839621; 550945570; 310736893; 978692220; 865370848; 588132105; 502114725; 931861833; 189847657; 996917209; 75001072; 746596506; 106964642; 205699701; 1035597039; 872665175; 233575649; 681121349; 283886283; 353594066; 980144541; 344689023; 396551107; 712475460; 1023497875; 345227941; 1008069498; 648148620; 523002901; 759681683; 21692307; 260027701; 436504243; 51361736; 16835087; 773624900; 356924708; 835676635; 1028163168; 723175138; 61987006; 28687398; 735609034; 435010508; 3080454; 26108503; 951034685; 178252097; 729876752; 117309183; 441061227; 956103309; 84069403; 222769288; 445170949; 221440766; 293268221; 350214399; 188457458; 527544349; 938890893; 119990766; 725045135; 925470731; 47177326; 303614760; 358000655; 1061582435; 353015702; 541865118; 991912539; 775972163; 781187379; 473433751; 925642115; 640350086; 21149482; 310685449; 579867483; 776134798; 554587508; 163346064; 361176329; 58880700; 138974852; 77442824; 718170291; 249461651; 6883662; 761563734; 322411793; 387113281; 631011112; 551936288; 508522594; 371677954; 511045663; 925315037; 938080164; 454494444; 385970761; 792869554; 1050833531; 1024929764; 851785605; 735047962; 639269737; 313783333; 1045331886; 233139175; 896216929; 608866674; 812281310; 634604694; 531850008; 945860387; 990451292; 98640415; 385829201; 300003842; 571988357; 311086798; 10657176; 472738782; 437420359; 992576599; 418238970; 558780478; 35768105; 225373099; 214541875; 897952612; 128252850; 120967833; 711445771; 1012487210; 637432080; 685487805; 350872896; 589800388; 174401488; 49061989; 1045752565; 148573638; 204542202; 1027825438; 1037348823; 931907544; 690919178; 919692168; 459243298; 745029830; 533643190; 813570944; 356369799; 535409384; 711421574; 634569311; 458633176; 1056116943; 53083440; 714017984; 942888305; 511128997; 443165630; 225455803; 1064863510; 376189632; 881435200; 108558244; 712071944; 278219939; 687256876; 508448077; 190573302; 478054497; 625764544; 711781723; 1041324366; 977192764; 408328965; 1050406887; 921652328; 969555649; 13495289; 32718535; 432766436; 516301989; 95781038; 119965203; 948367914; 1004852280; 34444762; 986705510; 682880865; 639243418; 218454579; 194466938; 639253577; 266369398; 281581791; 571778631; 785196072; 947608067; 324848973; 1007228499; 695644778; 188386429; 129830360; 207351860; 451211596; 675012662; 437032765; 842460801; 460600905; 522575071; 1015686853; 254374431; 188353486; 738629834; 442571199; 686197235; 860321055; 439158551; 142496439; 845743264; 463541811; 18958504; 132851485; 285156040; 470851446; 280440967; 771183302; 914858244; 6082673; 102285249; 635301777; 179584954; 905512715; 175143504; 281867827; 140520871; 154242886; 927631272; 561225333; 771619813; 968091863; 968510636; 413711539; 700392359; 443999774; 477096010; 56041395; 604570772; 313237631; 750579249; 1029515231; 107209194; 916672511; 495752256; 664300451; 359082941; 705486991; 1030423977; 996714285; 228038780; 16255908; 886684953; 193885713; 342520289; 729462472; 641943141; 153508210; 203761482; 865332754; 424394686; 399131530; 451580448; 1040356402; 126763536; 513723400; 431703168; 83549114; 86042169; 242072955; 42516955; 876133600; 990563786; 954420446; 779854803; 803299273; 16761245; 822112740; 62256259; 33650629; 90079361; 424508125; 422172345; 411735029; 357280841; 976891683; 51795273; 563261795; 908820636; 1014355169; 501630426; 635691189; 88164580; 1001827267; 639280893; 138237191; 654409220; 888565044; 579055277; 746743643; 158622207; 204437679; 237392964; 240230091; 298755987; 337137250; 42201830; 542330779; 900332860; 498332630; 611298535; 100265949; 529373555; 340638597; 133966304; 285593833; 227549515; 780172275; 213539088; 46519252; 471763902; 228956883; 1041888204; 485726327; 746014223; 524818604; 72690581; 980063372; 1050327497; 862351592; 604288328; 215635581; 844950882; 351526069; 821511000; 312120883; 497628618; 10232801; 193000205; 929248941; 1007858866; 11965236; 763659446; 121069094; 8532444; 236393208; 46062222; 865272341; 991758577; 369754213; 434385005; 335889202; 302469010; 72577071; 71527720; 471377539; 897057263; 347149285; 983551543; 281435563; 720714473; 259262132; 242620142; 156686974; 854970206; 337285180; 450050515; 545768223; 1042912952; 957811222; 714499588; 526334684; 36142081; 38062674; 739979486; 927850798; 277372177; 786358033; 236297534; 119279208; 422478730; 71662697; 989546480; 307880138; 303329037; 850752483; 920227644; 731880132; 860298614; 440111713; 430286177; 256158734; 784346809; 62844064; 680155607; 240514710; 874695587; 173852684; 347425778; 348829188; 1013734792; 395365998; 411984673; 919112805; 676575478; 829644572; 992019779; 793561191; 129544061; 97594; 934891887; 920637009; 1042874696; 581707958; 90761079; 711960084; 556898827; 993874693; 675328472; 776168299; 941721651; 688212859; 428519293; 630017626; 45455195; 702014697; 102866247; 1046982215; 417586140; 67959399; 728788389; 167165625; 75309224; 694513043; 169823865; 712575174; 602414731; 1006049417; 343884945; 415378084; 964987688; 521254139; 461646274; 143682441; 457963246; 510007168; 585208136; 649372062; 613673935; 140999142; 817706892; 110544845; 148802894; 162432163; 768572793; 1039240574; 1066453994; 578360402; 134661810; 169259623; 130999325; 6905547; 607164701; 333450926; 825411434; 1032196066; 509881210; 417593918; 985496783; 54194192; 393336553; 732258516; 756410907; 490260700; 17782805; 826812188; 926608025; 459549554; 175751874; 419453820; 580429941; 848980325; 443032407; 778514466; 481530751; 784762388; 286339898; 246845046; 451204404; 669584407; 971602295; 195780022; 454877267; 677380611; 484343312; 880081275; 885596742; 663240085; 944842308; 1022494707; 469784536; 359039102; 319522637; 1012500588; 970984880; 620593842; 838635383; 728689274; 307576747; 855524861; 128200551; 116340373; 514855630; 874607777; 419512267; 863998709; 1041374313; 791949489; 212941522; 622830427; 924752856; 573942480; 141271896; 741178535; 303302104; 87497860; 54520411; 261131299; 697808775; 131695945; 148686219; 671773391; 719815422; 571123030; 943517873; 956284173; 534953934; 450599470; 328164987; 220145020; 929596694; 117703214; 882456727; 391142936; 152672629; 290952541; 714273840; 787255463; 1023992737; 156069952; 202770821; 896252851; 50851353; 141352628; 240198666; 282466677; 421111142; 690985038; 771766827; 106647571; 865091142; 736914747; 871636882; 357241908; 803840707; 100877323; 461121982; 428668083; 979895584; 315545870; 771860679; 601324207; 1005032447; 1030927738; 785165020; 789399558; 174801060; 136399166; 773777660; 239052699; 864135157; 635980658; 701693099; 1060141474; 156433561; 490013745; 133757370; 23583717; 793017076; 981634800; 1066266094; 944127238; 104137213; 419404403; 1051445878; 158734592; 500546136; 1030915784; 343399176; 126248587; 864695571; 536291356; 9711186; 661425337; 442625936; 689874809; 776828767; 388692396; 563311950; 560397953; 659336984; 1039165718; 853702085; 485179894; 762063738; 157369818; 772974118; 185112056; 982517169; 523623045; 745599299; 110252488; 799209633; 784390957; 386870551; 947491651; 425658642; 19605502; 887940273; 289328896; 179519779; 843830764; 267447844; 1628419; 200297445; 1022918226; 180530541; 90438829; 1014003853; 922325589; 302108297; 476194292; 1035681425; 596287039; 745510233; 476294760; 525779958; 556663866; 394216107; 742242128; 808680715; 1053131465; 814791625; 34744071; 748962939; 967889433; 825059080; 327257353; 357198615; 965293575; 1057729297; 526281855; 865908761; 60071667; 953009785; 616466636; 238457652; 311060746; 990034722; 427281396; 442337408; 939026864; 921883246; 3993213; 1059617106; 894860202; 206889254; 230351441; 811006886; 748242892; 431019489; 55062086; 685252268; 641220748; 111631213; 1017188034; 406462230; 36204499; 279911496; 930575227; 368913765; 322210952; 273651920; 339424874; 9841779; 682230691; 654715290; 27552492; 582109666; 408581624; 68335522; 804197098; 851228231; 70868672; 259736837; 712409621; 559659541; 939557361; 118766400; 235308940; 585185127; 314686029; 256933653; 153807717; 186358917; 84914096; 409733450; 238839588; 289195169; 1012611030; 678090783; 544654064; 300170047; 60488868; 953190248; 91131294; 418880294; 673079572; 254075825; 920757580; 318798461; 664709510; 759528192; 642298349; 933198006; 854991160; 788345523; 623986037; 309920059; 765216266; 209299381; 568067773; 700476002; 594265440; 18759981; 439457930; 828632759; 1010467786; 276325165; 1046959581; 539212760; 1048106194; 757149085; 40703193; 879705366; 492222520; 399387624; 767325125; 514780862; 824367116; 77580615; 941566898; 448576827; 12476408; 3650045; 1019187332; 390999280; 218899488; 733623970; 626842861; 409565022; 228705583; 439808365; 304693800; 734888593; 779546277; 129261000; 618090380; 188954514; 292934746; 558686108; 339545326; 800687978; 805704209; 793343809; 374510803; 473276740; 889168792; 1042125154; 420530777; 388620892; 580526382; 728241005; 1006133727; 1056400258; 849897192; 107881144; 224529899; 934135462; 997361636; 900935103; 949097151; 1031608761; 583748749; 950982237; 306233562; 782038000; 11513982; 866747382; 397047121; 768721453; 664580747; 741475592; 840261886; 763692840; 334991783; 47945997; 1028295873; 130024217; 664794814; 365091278; 858811353; 213232992; 441760846; 172286361; 675971177; 888527162; 291539645; 817668018; 999521098; 207619108; 8860615; 746653169; 885077841; 35132185; 405516945; 465572788; 171748048; 54829407; 81107578; 723996606; 691349687; 212814189; 665302703; 440358689; 68192323; 1051669114; 654865842; 263571363; 7967846; 890982195; 1060284512; 446848082; 748716816; 224861087; 483367481; 178163561; 654733661; 241960370; 261972040; 918843976; 418670010; 1036150783; 628478754; 22149376; 607542353; 23391091; 446644717; 291244058; 465754161; 231027685; 849966389; 571094888; 496348749; 1006934522; 993059247; 630882806; 218797488; 311151799; 453959430; 210070918; 566342426; 571153485; 389450020; 814156255; 330452083; 836721094; 242810504; 21207912; 882360151; 587867461; 133119984; 142753656; 878354702; 620473662; 797579074; 280240201; 561641767; 670395523; 899165740; 481251490; 26033460; 113247754; 866088827; 676966075; 1070641409; 708340914; 50434214; 502353530; 356648853; 642557129; 1072927683; 34305242; 821855386; 842128814; 984522533; 223198273; 59424948; 719234515; 145428510; 532760179; 357409016; 934153941; 730302217; 344547487; 1027487953; 147245050; 541564402; 374098433; 917768820; 329747090; 237347358; 600813511; 950572679; 1004831133; 280840773; 38397654; 1055757240; 882698673; 939651905; 664061003; 1020896928; 839903957; 168902960; 856011327; 185098085; 894801778; 227130456; 855797154; 577404007; 98256424; 313221170; 667053061; 482273272; 34056173; 762858030; 485585578; 933204420; 937271793; 1035176699; 589895921; 1013169841; 545097641; 77035; 839110663; 1061517657; 527331156; 214240565; 860968998; 859888388; 40082902; 678974562; 950537885; 108827273; 401971348; 699843193; 378057347; 1052648398; 499488719; 913891316; 284786980; 124396991; 237475753; 507623655; 1045240026; 343781620; 658959842; 74018271; 558818617; 97501144; 657964089; 485980023; 366023734; 964949229; 259622684; 211056312; 626132916; 20056574; 601914807; 208658814; 1013441162; 1054751579; 697902649; 119486616; 977455748; 390727947; 634696698; 660361650; 529722269; 245693754; 420883274; 486457673; 1011462079; 784813974; 1067706827; 76030136; 432373658; 532412723; 455207595; 865597693; 480259286; 68437843; 602810990; 674124535; 620770854; 647725110; 882381622; 476619266; 86104590; 51029489; 468720417; 304418445; 673581054; 819194017; 253839442; 711821931; 638791804; 677381701; 993267721; 327644432; 856241838; 432025504; 1044736493; 720568036; 676709529; 163527382; 843906401; 472308457; 34402797; 869084703; 715721316; 139288098; 1014499711; 1046806868; 413907616; 234151056; 5994457; 821023473; 547640708; 452423495; 5919751; 772887793; 692509027; 346098865; 132541304; 1059877722; 587973631; 914898298; 173256609; 435941601; 825549375; 769863818; 453411590; 407113796; 559503512; 247081157; 350366203; 131639256; 383080149; 655734802; 201400625; 750003983; 175918135; 618274865; 545729573; 475378110; 173541150; 55815272; 433108284; 1038088434; 963721382; 338911545; 1010214048; 402823193; 175176863; 45004099; 196755131; 372345297; 444686683; 843663007; 482426913; 678190971; 963573973; 808953790; 132499491; 164392185; 509800824; 373692193; 497104805; 8012906; 189240703; 121455157; 475018333; 165130094; 874647609; 525921881; 316259213; 829102856; 103476100; 270262155; 320646930; 991549016; 447319038; 49574611; 172909739; 773175483; 360574954; 657766976; 450664549; 455205970; 235754521; 324588894; 968342864; 759657184; 444219182; 205629255; 791486453; 419206872; 560104739; 128334268; 910106899; 742383169; 263976022; 950650085; 1048124415; 1038175846; 40715576; 461274923; 1010141201; 541163850; 907290133; 241249752; 710208801; 326007509; 875391662; 506105299; 1015386378; 537821880; 249930189; 238497012; 136766953; 741283673; 448689822; 396705750; 319334711; 571755591; 499705386; 493804501; 205843435; 862443051; 314862646; 818019619; 401222346; 189182930; 572255817; 28045015; 887081629; 567905475; 498529407; 90945130; 944602194; 412873779; 333034197; 298191465; 1052475348; 45801606; 358510288; 839130806; 65004816; 443760227; 572776306; 978304882; 1021679481; 564843610; 809074463; 850100902; 625413164; 296761983; 564001002; 912254548; 104650329; 986998791; 471319827; 877970769; 493134936; 674632594; 148387248; 958494548; 393055777; 450414643; 80536622; 231974987; 782220753; 343732773; 681698391; 373205829; 996029216; 455439128; 911286375; 868194613; 249855127; 562901156; 726347848; 889816144; 854617535; 773624377; 331119944; 922161210; 470688881; 349579911; 1047694836; 519700691; 254573428; 144444448; 290843370; 686007522; 603672625; 32312189; 955065613; 607701440; 464466025; 521336736; 844855186; 428670688; 112279188; 410158975; 946523652; 491635288; 174386561; 328177549; 1066074949; 966109864; 98872817; 224403903; 828701266; 1059998102; 492937825; 316688544; 472666347; 585964470; 190633466; 761666686; 1054500361; 60668911; 98758325; 451486643; 617862997; 123277753; 519458105; 616478444; 946935848; 459175162; 923451262; 666538205; 482018124; 679930831; 280833594; 905874673; 543360011; 784018608; 463645290; 437963981; 1040686299; 917898848; 432506133; 160207249; 931547551; 240924982; 708865781; 296859992; 19620953; 422216419; 128383969; 817600203; 1037393980; 544967146; 941685048; 259671202; 941668368; 338779060; 121152220; 899694987; 761455302; 132850378; 919009629; 552330363; 180914124; 500879078; 984695172; 1056656922; 310652268; 678132257; 836477878; 931608110; 396847987; 51902032; 844316403; 812170490; 669726670; 454236253; 636221498; 477702904; 316334483; 273437615; 258948479; 744699626; 111485812; 140104446; 1064085521; 509092334; 674438912; 916744157; 903544922; 327525785; 773806647; 537902290; 1066230683; 549147124; 564812678; 244336432; 685937873; 610799347; 741054645; 592714725; 653015874; 80421727; 582355484; 1069444475; 287785056; 167872832; 674827717; 633158741; 313881427; 972709404; 890009666; 765458101; 550350733; 46605374; 57858437; 762119416; 521622419; 498490493; 949171675; 119044136; 343700510; 841909996; 194955780; 996826864; 532890820; 706830322; 217960302; 740009144; 108824401; 338451716; 140961714; 941334732; 352691400; 668493077; 943846243; 298868227; 317947784; 875350928; 978442033; 687016439; 546918284; 56593796; 249081074; 605393764; 744278510; 518621220; 381978974; 214027314; 453928722; 746848528; 1045540151; 931298925; 824817247; 315846473; 304437154; 978550632; 519840007; 914249646; 495639004; 973411866; 859003044; 1016737020; 682379861; 675104975; 234056570; 552535989; 875634483; 213514625; 273002713; 255818298; 40057526; 317283926; 202179112; 245667035; 983812813; 1062330604; 661223982; 106563891; 978744099; 996846175; 261853303; 779280441; 925729237; 739528621; 440293310; 602440983; 27427715; 517364427; 569804711; 299871431; 36784361; 598147808; 201706399; 658990345; 937522160; 168483434; 609314044; 361164066; 799822686; 676150561; 877060135; 697238717; 524778471; 918907089; 492391538; 404745953; 322317111; 311369517; 631905782; 501189780; 968101087; 1070464207; 510712740; 539592169; 318994461; 692156424; 392416998; 880416528; 959751788; 892651425; 739941244; 128978703; 106123764; 910202249; 593831379; 993465023; 375987974; 121203324; 274714391; 775090399; 398509231; 412049041; 874201256; 640652176; 482313689; 54644148; 920092662; 147585081; 816725357; 683298317; 90235316; 238931071; 491570816; 8785370; 905217999; 1009888634; 1030016622; 340281282; 519948738; 106656567; 1067313377; 461531604; 87233053; 813649291; 159037542; 860304544; 963217992; 325857732; 809365315; 1020222365; 862746874; 316240817; 108740923; 34037031; 195049035; 484597258; 983103174; 203590800; 503048464; 449397941; 211731673; 390095384; 464139100; 43533156; 555959286; 144036758; 53292357; 921414120; 271197368; 798662164; 875098131; 477062409; 727299329; 34916919; 218380287; 322973875; 561241561; 417099961; 387714967; 677241488; 224336860; 733958533; 515781363; 101662389; 609411664; 633819953; 667994501; 343889694; 114440122; 555083706; 284031969; 276951090; 791720326; 889320601; 752804302; 487365894; 49520639; 727115839; 665555603; 914377995; 140747393; 763930737; 391998902; 837926760; 506326880; 596042511; 172817302; 1069861777; 110997608; 708103729; 491929653; 867133832; 563332012; 712141107; 736280865; 230626857; 1023161053; 964637344; 324783534; 791050565; 467221186; 221457649; 826974953; 185377111; 759323595; 269138332; 945813166; 455968052; 876105649; 401610117; 935214010; 135366629; 884394442; 79190275; 634597864; 641232215; 687924706; 1069495744; 362550387; 1039202536; 915434729; 748468868; 866887981; 79410647; 402382369; 891476468; 841901146; 922929069; 761783279; 498768370; 116226924; 725669202; 707118523; 525623525; 648613024; 904260991; 1036241993; 766686146; 694318921; 150644831; 191415307; 859291031; 298192643; 962297196; 374557102; 405056727; 739907358; 882995039; 781154593; 334176158; 858650176; 48197159; 593071200; 375030690; 779530455; 15926929; 37367567; 44711449; 534279002; 713770263; 647076943; 586362679; 435199654; 346121806; 1058885630; 204870649; 720535530; 1018036996; 709994573; 740904043; 202871249; 416343833; 810690707; 664992367; 223303635; 190587140; 294377307; 826493197; 1027490844; 163400370; 314598418; 365708376; 474370128; 218085755; 99247082; 1031487889; 1036395714; 928395000; 8889752; 793243233; 1036481527; 477177434; 420184380; 1062900421; 216206594; 248321702; 962962041; 959293084; 265931339; 33472779; 578083643; 324640269; 419007764; 701206389; 272163667; 706572024; 594818909; 57323227; 394858533; 636069543; 473870705; 389073809; 715013922; 640308982; 196918489; 250438160; 954243875; 597426026; 584199446; 260099038; 871452879; 590423750; 101091339; 389812949; 649654283; 332283996; 502613408; 45137014; 879144055; 4440834; 781420423; 410144356; 1035516503; 297638567; 772632309; 764958293; 488670861; 933451559; 223146422; 650789632; 548233120; 300992341; 775018728; 942560740; 263155267; 132108916; 370250425; 855111842; 960596810; 197547371; 908220708; 21782328; 805766340; 334177581; 195112833; 29087520; 930837170; 532346599; 822779459; 462601946; 261030113; 723474153; 89973897; 103317452; 218508442; 258648897; 386701846; 656242076; 262963782; 42352245; 582277018; 26390063; 678533174; 660707719; 125484554; 10791638; 537344323; 707558067; 522975254; 599968477; 428112069; 972140942; 310447999; 854288799; 122341104; 83484590; 501106863; 812343119; 45682089; 303118889; 693245972; 1057662863; 745483991; 904869803; 161544349; 938911921; 1057473130; 1068052905; 766560699; 139226165; 851222568; 770029844; 671573102; 580819791; 1066974048; 154579151; 562449490; 670508679; 169384087; 1068734419; 197144715; 170526113; 613618129; 876847108; 1041929422; 887469309; 1048436353; 975969211; 245559811; 775587644; 364164292; 1002863744; 807369884; 975573100; 198034780; 207773682; 944731271; 130308168; 591791652; 68000578; 648945476; 450386171; 109703606; 1061363909; 327717576; 879787865; 463035407; 372669790; 766657070; 529457759; 983857471; 595703165; 818490210; 783835772; 496943019; 324101428; 654765928; 35485652; 1006074077; 329823446; 435548285; 868851856; 715120929; 1030574141; 57704381; 151994701; 531017233; 777667230; 428171014; 82443011; 800839278; 749964067; 854014678; 282620604; 1036021290; 762116605; 357765082; 241155337; 734491669; 775967371; 910341132; 974855798; 706923765; 1039304089; 864263737; 730774462; 987817771; 231092260; 26828265; 870209532; 449729627; 513416209; 701972165; 582542248; 576388263; 825125041; 566251576; 266665850; 167005642; 328575024; 948316133; 27829524; 728029100; 369421220; 682571266; 70446402; 620121596; 169492476; 803735357; 341152812; 803489493; 865419886; 454103475; 706041764; 624032064; 152885877; 328027792; 191123370; 364981806; 109349951; 558345513; 702218980; 1007980535; 495448378; 1003491109; 836484296; 329093203; 1061171244; 461980569; 608032872; 278613389; 927077948; 729003318; 665999659; 307110794; 408008385; 68066589; 962091884; 323678783; 86039236; 940401783; 252357610; 697281120; 467669410; 852572781; 790062723; 189951047; 550383557; 961552974; 17361872; 665991697; 740783630; 378305750; 1072559790; 28700245; 139834635; 845363831; 1021641119; 401898076; 784800425; 284291899; 597037241; 904724854; 469352033; 44840961; 48806133; 697216162; 700372474; 427704454; 95607831; 623009717; 674439440; 766900412; 641597463; 236952241; 392801327; 55667362; 1006023183; 207548462; 317705798; 988342282; 416891675; 298116207; 579438830; 818449016; 829781996; 875556156; 176924233; 67577459; 168393815; 269669604; 68400105; 592459296; 797495284; 920938113; 400817979; 893482578; 466631854; 236082717; 640006660; 401279699; 807530462; 775011556; 543210758; 797445294; 211922498; 481058286; 746036068; 225382131; 93636407; 529157921; 499375750; 133037964; 993843574; 74016187; 568222008; 183734784; 602215627; 574264622; 493301010; 179638107; 203781891; 655309293; 182023038; 89298277; 888246961; 208026949; 743480998; 722476293; 456548743; 723533376; 78374113; 333078761; 267645919; 300929963; 975751874; 516500812; 368370799; 199100403; 257349668; 30587212; 1073400933; 219449730; 812372929; 739834205; 101429988; 550144259; 284421698; 442385863; 303844292; 504748563; 465334271; 113199415; 135954781; 669332628; 894928724; 272261511; 419023599; 483616285; 221640264; 1045268864; 1052721379; 1073356164; 650027621; 493760037; 881767031; 860207943; 1009881613; 629403299; 805142105; 342091653; 872459445; 308463319; 519836249; 921932020; 380224794; 135587939; 965163906; 990178768; 683448560; 39940849; 13589016; 710669933; 485159706; 759836355; 573919876; 514865126; 871102765; 71858556; 837068945; 628540816; 307155925; 983133463; 254640740; 887894059; 994352925; 632017009; 235029516; 318548646; 504000586; 95005178; 247536131; 615647570; 823302628; 697488690; 460806828; 962071595; 220001664; 685359403; 985220507; 496631799; 1059328357; 399707958; 791276617; 591484398; 567127006; 590900401; 888029985; 71419735; 554785780; 587692959; 42792489; 364940; 446138160; 950907862; 632506543; 219055394; 315847294; 177111126; 482777259; 437423748; 794548049; 878367094; 344715371; 813717069; 570596365; 536207250; 801607414; 934420209; 1005177414; 114057659; 865183130; 970373344; 17666354; 917504880; 89773520; 975880942; 197247473; 1051278773; 542359320; 120339795; 769839278; 403313694; 788332896; 1050510279; 196267337; 137975138; 362726449; 136032383; 290297970; 1059509880; 504452426; 441803797; 892046141; 263039915; 415205717; 1068046501; 233195386; 135509278; 364092959; 478699205; 208858982; 1012849531; 289523109; 525178791; 933032837; 887945472; 596776271; 748699273; 377158274; 451857940; 661541494; 45213973; 82924234; 1068357002; 714133290; 212268640; 173957079; 682520693; 405614826; 368633201; 228870662; 871393394; 472369460; 194320345; 864559411; 918913907; 1030542274; 621104711; 949177060; 1008197448; 178024953; 610893487; 986569089; 901449782; 662803899; 361690833; 936367061; 884200031; 463932257; 1071367013; 455249766; 546123064; 739067494; 91665415; 197694757; 1061911246; 797559460; 733721532; 21259348; 238727777; 953501424; 861284443; 921733966; 455542847; 702527169; 74121815; 838192943; 40988344; 205059120; 902206084; 586962762; 664762611; 1000199447; 651013049; 747198958; 50629707; 480227658; 102532967; 1053646820; 797862772; 215369982; 855451362; 133301671; 214007171; 544662593; 439931449; 578136697; 319071827; 651255995; 871688195; 929579990; 363681168; 873184491; 20576485; 718564776; 784098859; 907138377; 624757306; 732056460; 287269887; 791839137; 711496429; 293335195; 366736762; 792539973; 588749928; 567076498; 162926240; 778956787; 600995878; 938227811; 316202737; 15827615; 83033956; 1043736121; 661070419; 992365064; 668430707; 1008187014; 32895508; 547091772; 167578818; 601512665; 968789604; 461780413; 84022430; 954119553; 724530842; 115749437; 826901583; 479223191; 815089478; 495106257; 295135411; 475096644; 436160979; 891134030; 838683797; 1000506783; 560660051; 300361175; 867284896; 449439048; 501036858; 841384759; 934521996; 797415644; 249347159; 337991941; 621976928; 875123483; 542988427; 430406624; 178117323; 400979582; 1071830024; 184273780; 292345680; 420236094; 1006304963; 1000165489; 490078645; 592999973; 904881892; 506483518; 572041444; 361402922; 158914194; 251509103; 693495873; 313506448; 155477618; 229518814; 885026935; 793213046; 245564173; 238776917; 117025113; 191601950; 756500829; 18702276; 266978683; 747914342; 844500012; 808416987; 733778370; 583323198; 61071210; 25466720; 976031164; 541670477; 117419286; 485128962; 75446272; 236933828; 410559195; 605124739; 686324661; 649120180; 652083733; 829633413; 382176968; 761908290; 1057735376; 284396676; 114129997; 88968516; 946824648; 67240097; 497857824; 956316715; 733931136; 703363045; 220248487; 705902416; 861829122; 1019682077; 497350280; 594155901; 144191490; 651882497; 738371514; 730212028; 670786806; 645764900; 254796412; 251316647; 751996039; 33342451; 740195152; 197755335; 348153983; 129410108; 540397917; 91110758; 439931232; 354592123; 679460377; 1042906102; 733994144; 630201334; 401228982; 841599305; 659732115; 174247131; 152452082; 362384200; 683271208; 820120857; 433050695; 542935427; 744178468; 249600961; 852824293; 695624653; 168523408; 981981587; 273621738; 321785068; 13396674; 486619548; 726278887; 658888949; 77384103; 398311868; 862279659; 398338805; 181194133; 239887304; 4792156; 265611561; 991460231; 435369419; 190770363; 800478892; 345352419; 148590713; 724659336; 916068606; 470801075; 751493277; 765157962; 902829094; 810655676; 440610100; 1052504361; 1044399514; 201720145; 953998333; 920488803; 232660910; 868286062; 795534729; 306133094; 445964465; 1022904640; 249495767; 354003289; 1011646813; 1029510031; 280301528; 1006372266; 1015897741; 579639197; 889632104; 894179896; 259143784; 571139424; 514143685; 687147965; 797319856; 400777667; 871652024; 188459052; 624790673; 161631391; 572387910; 496022014; 64613566; 166251974; 942388154; 55334346; 23009420; 802721322; 605871290; 121392205; 1031820034; 17395333; 569697879; 130004580; 72894373; 995642441; 73795978; 338651227; 779637505; 808226787; 987246598; 497892404; 571489469; 1036443125; 445100892; 211708132; 357867196; 155384103; 792350104; 283737846; 312419704; 996069641; 306413461; 751392164; 854345332; 678334917; 444704595; 340531629; 487087030; 132202174; 299227832; 531923126; 54805669; 402338440; 688923603; 271516128; 655999602; 825712945; 777192512; 321075842; 68572233; 650660328; 732705814; 468796597; 402953321; 789074417; 288407213; 707646914; 678407989; 677767625; 852238193; 133737186; 135847851; 464597267; 291241556; 407227086; 871786510; 1064808054; 915583243; 11791223; 544099033; 487379866; 720042334; 850901503; 2361702; 472452639; 201838348; 895645615; 424003396; 112313999; 60450224; 1061799629; 372259428; 566804430; 334838123; 138655569; 1064272384; 574220653; 194119970; 156103589; 68696077; 918804862; 265109820; 381201402; 757478333; 1070280776; 30656107; 330002132; 765144708; 138477614; 64723956; 1009995941; 568552964; 884747253; 365708614; 839443275; 472700873; 142008797; 550834125; 407345182; 974771219; 1004803549; 431823294; 133822778; 418170980; 466461438; 85989086; 595324848; 615131315; 464866000; 839058139; 614400946; 513000739; 95328043; 63244400; 1013438798; 44279777; 567545672; 184838044; 312767870; 622349040; 672113162; 574144309; 199925336; 627007101; 153018515; 101474661; 70576441; 979924857; 844685979; 152503671; 809795239; 968138768; 277653991; 412744814; 518568874; 263393663; 190660559; 533372642; 212129857; 974100510; 1017065095; 101126098; 664469640; 61404122; 664342125; 313554808; 459667759; 706097010; 766716241; 713320483; 145469593; 841176228; 473006897; 553594962; 764665079; 513598124; 169971577; 889665494; 52513649; 319480826; 436800843; 1013941172; 84923023; 378870792; 471705768; 1068494314; 775209023; 175971471; 391856407; 994338152; 1068156571; 536072376; 956459595; 536364631; 38172604; 111439578; 172405661; 422596135; 3380275; 1024513406; 580068151; 162727584; 817739889; 862079765; 156366026; 845468049; 979432327; 441393818; 217798708; 755352247; 228588937; 346928675; 230583797; 620833769; 504111103; 819390454; 1025963188; 139499765; 408531987; 261630540; 566357725; 470688720; 502148205; 967023849; 311062835; 566032600; 315950985; 87243668; 139003652; 698872632; 520969902; 684565431; 238124919; 449124104; 143572713; 341186533; 808308106; 822160671; 167717529; 593070335; 792827540; 265934072; 393386673; 127582869; 678113827; 492498664; 317075087; 122388374; 626198897; 359390107; 482724544; 965991874; 322865347; 947954712; 552386118; 380504066; 534410397; 750769614; 38085452; 452187416; 379276884; 20525419; 223112780; 968082022; 363707304; 452716730; 1020533309; 318508535; 279519395; 226413591; 427862720; 988609498; 435475856; 358653123; 510874592; 884022001; 177719554; 986862706; 930232321; 627699807; 476643224; 112566207; 789923351; 343146165; 416579892; 520896053; 673462522; 924880826; 1013437096; 561626869; 986099816; 96034638; 255357909; 232289675; 395268062; 839413157; 141565027; 287741883; 555552035; 216412167; 439587177; 183541771; 570906573; 663725243; 35525382; 887038039; 703155799; 348419673; 842215877; 89698232; 399305813; 767971733; 9676167; 220095092; 371099856; 258505765; 520234975; 773634962; 592585437; 740959960; 377008814; 945387935; 1041058194; 487516083; 625140029; 905742944; 825013167; 23748791; 452258415; 196420223; 321732648; 101091936; 1046910691; 213245974; 594418974; 987900500; 23289568; 242235746; 695303422; 717654428; 89871627; 199827639; 351685518; 188118500; 222800435; 798539967; 661032178; 760946347; 374731182; 19387373; 340204983; 242660622; 979264174; 935630638; 360971727; 1065679450; 442926670; 308249351; 945905564; 558137478; 678778593; 684852591; 580871757; 647492116; 129086787; 569970211; 523629644; 1014513392; 617852517; 829736538; 29052063; 450541580; 475112277; 135861293; 973206461; 939812294; 468321729; 205256026; 1054512318; 981636051; 21488617; 327756018; 663809972; 475701633; 191529406; 430359567; 308815808; 990892960; 185814695; 672226786; 741086691; 437686016; 70677905; 928387486; 969061945; 808116370; 463284593; 290098774; 1059505501; 446999323; 552007883; 700314493; 608251808; 649123971; 495867111; 1009260996; 565534895; 663529010; 855000509; 301270823; 58967027; 340030250; 354750626; 795384538; 1050984176; 605420442; 577576098; 511629356; 472796269; 71642656; 163869342; 661758543; 362312054; 903778622; 1045852110; 1017551541; 366442451; 667479046; 1048159935; 487364941; 284152179; 865832975; 361037603; 785554690; 972216852; 826315561; 938574567; 655373876; 793342422; 424745882; 178569010; 314722701; 889957617; 451341676; 385212511; 69666198; 1019282285; 992657500; 794605086; 452844425; 599681189; 755453495; 337377778; 473899621; 236702845; 27690085; 72390979; 235171427; 698751030; 597906768; 363814915; 278467921; 490417066; 650994674; 160949423; 926670060; 668735751; 1035879372; 738630104; 768792080; 462524695; 447970322; 1021759779; 1040824753; 45899616; 698533569; 307614493; 111586033; 50829599; 437949451; 378448752; 314872223; 253583146; 368758070; 431922085; 473867505; 774915210; 500928667; 745281840; 726408239; 505841035; 571602036; 265181590; 541963811; 1006837677; 235400726; 993760378; 655771522; 669580992; 408969547; 586095490; 217384140; 756538959; 103588143; 955346892; 1058337942; 658347760; 390442223; 469191736; 1021493399; 10737530; 165107231; 136850863; 794613577; 1049616098; 243619071; 840417732; 696390584; 584001397; 292805751; 437017650; 441301102; 556072528; 533941054; 280830884; 144174038; 1034973483; 79006352; 454668665; 235039720; 1051470001; 924453840; 814420120; 177074559; 1037065447; 438301391; 728113472; 898948061; 144875940; 570693544; 226772073; 891722044; 830727261; 272094819; 837450905; 1033735741; 879429107; 396136912; 338611938; 691500512; 413489835; 2992974; 105173914; 111354712; 1054146716; 765270764; 960991993; 150277575; 277566762; 504679795; 133363765; 449136394; 971531990; 122508859; 84404763; 680267791; 220564414; 577762087; 292473871; 847743404; 648789923; 280775236; 196471276; 208137380; 573454770; 887599291; 711103697; 247761472; 249928890; 556704045; 875701127; 571545683; 282305410; 369118779; 756233352; 822496886; 206883852; 907857678; 956873364; 408455011; 369204516; 511207271; 242942896; 840653927; 399897458; 44430993; 675992283; 649923793; 488026267; 240910785; 726802226; 550479160; 809150606; 1071943929; 796244247; 684064843; 521770484; 773123020; 716512683; 35638469; 112355172; 774382013; 374388545; 465443288; 296557163; 990217689; 984576004; 20245942; 534414671; 780623515; 140212820; 859935425; 631747678; 886552380; 548779967; 727716342; 7574380; 345137246; 846978812; 327785206; 926123707; 311714869; 538185225; 764496088; 886893743; 121419000; 984365520; 723023397; 56921502; 723873569; 196939195; 110811241; 316207713; 288838548; 149232127; 331570595; 1364710; 203799628; 23268667; 258304456; 718054942; 434363414; 390147712; 125205991; 114129119; 184669338; 1046571336; 748910508; 823177989; 462329766; 305881154; 252312438; 106721007; 922355632; 1058617150; 1042338750; 1018381631; 815089977; 857836018; 961983433; 829011297; 154088631; 356117165; 617340779; 677512163; 270014690; 1062601305; 229230115; 223404512; 857979613; 1026982418; 741860341; 841288978; 931491431; 694205462; 1033706625; 863994225; 559065147; 421839337; 324069848; 383964313; 415899350; 112099877; 51164887; 415227416; 1072134413; 505515825; 268528281; 1040302692; 866213788; 59004692; 964930889; 298888588; 976272022; 797873752; 274080850; 901325667; 479210998; 231903762; 719674403; 902954574; 507182923; 495788345; 857148275; 477488823; 579902421; 762054915; 36436885; 972769620; 299785648; 1012551058; 482735146; 369766759; 906454060; 362547432; 868388572; 981234437; 399312188; 331724171; 57592251; 817489616; 475913836; 35340773; 994322287; 325788606; 308066686; 25548448; 572477746; 443399707; 960320672; 109088812; 232743752; 695971622; 249036619; 914357847; 582346770; 151689957; 971720956; 659822859; 405824382; 216046385; 80798437; 355777521; 765686526; 598054389; 1490026; 758257224; 706309137; 914146533; 388821928; 495816924; 899110318; 950726814; 681633663; 793080536; 517440301; 70166526; 791576393; 516111406; 46890373; 282144245; 533619806; 485011156; 485429588; 334905770; 871460012; 22799299; 59953809; 960832874; 184090975; 261093373; 850085411; 73427203; 764649147; 68369329; 694745674; 446164723; 39960506; 88574168; 817393951; 634222781; 978888228; 959901110; 71325769; 672783245; 847121106; 807105969; 319697304; 890038180; 93062327; 522610871; 101350018; 28501326; 294800161; 528118674; 610979532; 410587316; 598215512; 1016668818; 758381977; 233626331; 111750813; 545999325; 994024160; 623827902; 803656104; 796601794; 286771879; 306046953; 415012909; 345244310; 174910833; 1065625016; 136515635; 1068072872; 842584356; 250631943; 145672048; 104101176; 815328491; 369551750; 876466971; 364128199; 121880983; 560091232; 314385382; 962627530; 291510412; 86530553; 409305106; 335258917; 929158680; 811729325; 1025649087; 234204526; 15625306; 662629556; 232145323; 312721378; 837216799; 486273793; 123679947; 462801561; 383639841; 270606311; 698424644; 371872208; 320888515; 78577212; 197596618; 271395658; 460898044; 161119912; 827242957; 525144253; 103077034; 966379798; 802324530; 219700799; 822822090; 691805674; 452837234; 129660553; 412555227; 64817751; 796878294; 232682299; 408243536; 52652073; 221269433; 752460500; 128065431; 151436745; 661296227; 707462332; 513477407; 828235068; 902260375; 323193178; 519000123; 259807051; 668059699; 674998692; 36938526; 169440325; 364708575; 645135548; 382438734; 1017253505; 298457804; 206152141; 410110639; 699423047; 807394716; 721302332; 301864396; 884586671; 714672607; 226940735; 183811703; 422622896; 353378525; 956009538; 716614356; 23642654; 332928422; 330410259; 1789620; 752596619; 123041723; 889094677; 408820757; 1041203269; 805137029; 878881500; 155468316; 40579267; 364249681; 74643773; 2494598; 20976148; 897648895; 8356899; 481867465; 917717529; 565745188; 919711179; 412676364; 1028461806; 1000111241; 467151762; 483227148; 145568891; 600765025; 65738008; 520040021; 122928786; 622632560; 492837280; 979084726; 278724650; 158186847; 933008769; 570085347; 426066727; 27672449; 862367884; 29636704; 384173995; 130707359; 914793661; 93917937; 774037875; 249444193; 1055340003; 5130256; 820201504; 505385072; 925228380; 954456549; 336724271; 486876978; 1028587187; 555832305; 647335604; 341715221; 408461067; 536915982; 516623393; 60389605; 490627003; 446531374; 610230414; 100128193; 869163244; 153417891; 501847724; 235841291; 347068712; 252162063; 706725777; 341908316; 876484546; 308916947; 3132946; 70383736; 531082627; 398844196; 880967577; 855768776; 804306707; 271958181; 1063986549; 879614834; 886283552; 133614836; 671221161; 748589990; 632487881; 17374939; 13053888; 306629349; 1054600077; 468644116; 572469943; 1005326096; 283266230; 484364189; 959178339; 790664334; 852110411; 1028122916; 642230173; 693055183; 810696387; 493933322; 290537960; 788584648; 694848897; 837630696; 165229523; 64056052; 296617494; 844126078; 1049068779; 423352599; 95360354; 945147180; 691336645; 354402499; 605329781; 412322117; 268879078; 568874620; 23291662; 83519774; 324062934; 605060115; 870755101; 28265132; 480322920; 712584746; 551833387; 455427217; 66128861; 145603872; 1071066905; 893136285; 834911889; 406125394; 568852220; 196532302; 540332180; 688878948; 800576211; 464927001; 5318870; 88661083; 62460090; 35538099; 268989513; 853580270; 1072189446; 55611; 492487564; 64938807; 463709538; 628233743; 1018536339; 578363832; 48464999; 1021222210; 511028171; 403571459; 122466601; 77369221; 538329959; 994166807; 483908191; 399794828; 941036877; 802111505; 866952381; 616115469; 406548187; 895127235; 636435653; 774791438; 306050946; 744125412; 18735890; 119845731; 901484064; 472247259; 531576587; 755565553; 981962965; 409068045; 740699065; 953670; 959134849; 78971399; 1011992795; 371036278; 894976187; 996820936; 1025786385; 753632160; 872442612; 857334835; 53559986; 489294516; 461595787; 42025118; 949952837; 664554992; 22112080; 366412808; 491530475; 770336211; 175219508; 35372670; 547590760; 794657586; 397403009; 174794708; 922605911; 447757794; 1065625221; 191670039; 932716426; 687608900; 102122232; 362266360; 602408024; 943974449; 740601419; 727873882; 457109981; 109075200; 1024352220; 575260496; 226296676; 632597155; 119060776; 167532740; 1044691589; 496111013; 303327526; 1069986185; 1064266320; 240512351; 465746094; 1046609132; 488275622; 1003179272; 761045645; 324120591; 1002068707; 688632310; 38742229; 457940281; 291243533; 132069937; 270564278; 346997712; 20864173; 472604421; 649643082; 702603935; 491741405; 270552611; 186904466; 502878887; 665333791; 587474283; 492650457; 526102802; 172482580; 1002789393; 467338411; 398548282; 1049757515; 26775628; 1000127881; 716375222; 1008452764; 34389490; 33022192; 935845003; 680111047; 519764718; 446626279; 184318813; 130000948; 569069235; 834042678; 313982937; 512951692; 385008522; 272437092; 915665003; 1011643876; 498966370; 588116242; 530860783; 782739136; 2647744; 265903645; 939396743; 338753210; 975099928; 827289128; 954225313; 910826514; 305390149; 837380238; 252592313; 249558771; 663838259; 876855613; 867296492; 410301672; 850801222; 906599467; 824233442; 82486767; 324824765; 511624891; 351534188; 919497215; 732079700; 47870417; 745871780; 1062089959; 231032597; 823552733; 900024231; 317892782; 383264043; 914896078; 1027179523; 320437492; 89059919; 714687722; 5537696; 71666248; 981109899; 264100773; 982392467; 120283981; 533876758; 1011795955; 1037990366; 522206425; 178630341; 684592862; 18923064; 626031208; 739430685; 775133841; 247673187; 60551668; 979432211; 142468217; 1023913049; 569190392; 46260925; 605979919; 685144691; 1057441427; 594578382; 1050973933; 419928414; 195696352; 32021071; 264382316; 944792239; 1058245020; 843384229; 781289085; 832004915; 596821030; 333431971; 864871495; 923125303; 810249132; 820852279; 763098046; 548950779; 558797975; 256665702; 50148610; 672673798; 596533207; 85367229; 239897000; 860043824; 859446259; 916995860; 141948158; 129781775; 190700629; 578947434; 108902631; 602966503; 133758266; 436898622; 477173524; 487269690; 508821157; 302364271; 207375960; 180305555; 165384368; 216923344; 789724138; 568026150; 998538103; 874872952; 284243291; 744337076; 564775703; 340787044; 764666135; 572312148; 785535966; 78783917; 727674909; 377057273; 344468633; 238376099; 972144418; 640654600; 310356245; 255714354; 625246577; 851150145; 792580238; 996029979; 648224424; 794132997; 385574574; 638094439; 903443172; 1051851558; 45751819; 548032788; 695384573; 668234482; 543142855; 534557835; 571479216; 1049946026; 971696228; 141693268; 776571732; 339669940; 173819607; 930785430; 639715342; 341158210; 605020097; 984892631; 992966844; 731939091; 934928338; 590315758; 551916608; 1000991498; 896644777; 293247884; 1069763112; 476813537; 804692485; 974737589; 499809381; 979018678; 363503781; 455566225; 995707682; 768257172; 738157044; 594784176; 705842359; 601508935; 581700319; 542721782; 791467806; 625008622; 185241858; 494990461; 957013435; 771463250; 439121422; 450340935; 506935741; 553252823; 541405354; 89428466; 719487647; 95164382; 169777905; 563535967; 132709020; 336673393; 731530136; 715010816; 968632735; 637010526; 193806099; 743999108; 438683262; 1068149696; 322315064; 29910321; 420828352; 512244362; 959697724; 676428195; 984832213; 5895105; 598923622; 36138528; 433275880; 992460025; 513059505; 116669052; 157777685; 328511132; 594962923; 59251587; 404127373; 584650312; 181254235; 43950260; 234079529; 212419599; 369346730; 487550959; 429465133; 58113773; 343705182; 622421886; 357861617; 989001642; 764118850; 999392930; 901266092; 795827820; 313406027; 199949622; 949263337; 338573923; 878328045; 540791917; 1014656339; 217846868; 220685450; 244760333; 563092006; 611194064; 452763761; 989354990; 66635488; 941494079; 863614507; 311965213; 554314172; 655721148; 1071568247; 470248658; 895560763; 87177713; 939332578; 859010740; 460924756; 575492943; 422844066; 511485241; 77713665; 314228172; 733866342; 409570820; 371337119; 315292319; 839484869; 169452472; 340812473; 765059444; 532433632; 137188556; 747359509; 612556123; 46375461; 523120222; 1064157770; 480128124; 189438817; 499784862; 622751274; 68167058; 543188558; 472125610; 210365724; 282953029; 669506470; 409947162; 489288834; 209388993; 937793433; 289540497; 1050834708; 1060229158; 674235681; 69677820; 907175507; 29109370; 999526308; 725855929; 255256737; 159169203; 68951948; 723883831; 1009687989; 422969736; 101459349; 800886008; 840244095; 521609707; 496801315; 852285879; 574134784; 86241573; 841059264; 301659935; 352482297; 1064913674; 912779512; 820806900; 224541395; 302283943; 14026567; 84933393; 1050207586; 786517399; 33774219; 449131810; 382321060; 73164495; 935376944; 766130988; 147285761; 177471502; 87370643; 376808795; 913450013; 907284091; 795787910; 452916115; 262309665; 37044076; 889223879; 700088814; 687272929; 484073715; 676247439; 136583587; 360058328; 737255418; 2635436; 397839524; 119543758; 765742590; 773967159; 600489156; 112966947; 452334377; 428314852; 741796157; 302921011; 710385647; 1008264321; 995946935; 906641882; 758819845; 454837639; 721303825; 160980600; 882845852; 1018722769; 573868275; 696063964; 24120829; 80894013; 743339300; 1053020696; 971741929; 602027867; 894490258; 65894722; 783222811; 1063385989; 280741839; 4862161; 144838913; 545555083; 762570709; 184041419; 658795203; 245222628; 224970708; 587344338; 497296732; 526302283; 788030563; 763452032; 313147705; 944070680; 519807744; 109157152; 315782612; 504242990; 793110075; 173347453; 687059448; 214201454; 210628283; 775796072; 731651983; 949661882; 1036917773; 448699216; 149145972; 463712741; 668955841; 343681756; 526533997; 807151529; 913146512; 413990291; 429186970; 401351640; 299139859; 1053284153; 721122400; 605070485; 371948600; 20966180; 38636022; 885048711; 1003876738; 119975640; 260013972; 754000180; 657527934; 1044309502; 67108153; 20991852; 405816149; 706377420; 171928381; 976871623; 270263723; 659698087; 323003362; 462955224; 1037741320; 836825009; 737930986; 635151164; 258575373; 696610709; 660651835; 862485232; 325045041; 1018745059; 344025919; 739758161; 709328505; 615263414; 825866962; 848754220; 810918428; 320974776; 422438688; 441245849; 372746150; 648816810; 975410823; 1015977459; 950311991; 824733684; 168810324; 314563950; 102176535; 97892878; 672247720; 962077722; 928245489; 103190361; 1042637204; 894978090; 989090807; 283829434; 217915313; 288540818; 662297132; 236248956; 130389705; 275046202; 207563179; 336658215; 347461873; 1008086294; 283416124; 568299963; 809429867; 111126849; 982113719; 604500909; 785308802; 885970436; 323382091; 61852406; 715437676; 117235711; 234405892; 569548613; 548455768; 113863305; 665702329; 305284755; 46118167; 485962521; 795189099; 518570491; 800835821; 420301497; 254357577; 408858778; 490171814; 370944343; 943810583; 723585097; 710462810; 276202681; 938135349; 345076250; 384663376; 183139165; 973915761; 878317381; 815479307; 695977751; 445026354; 871043172; 282146645; 575594112; 213133943; 335063846; 902350030; 639159088; 700436089; 302731291; 813516767; 775353350; 567472660; 202401821; 53006645; 708286514; 77337376; 1060819994; 284989075; 165724268; 630091307; 1016467161; 491120105; 652589921; 26895326; 354529977; 574189259; 855208813; 1050589521; 272510399; 710332697; 634956703; 607038652; 130571245; 141273564; 605442639; 806632455; 105358268; 72607737; 519609160; 160337639; 954412381; 131171519; 1804252; 884737889; 748332697; 39981494; 411550156; 436426156; 676572778; 539649295; 896511085; 240712155; 474893727; 798657250; 996217967; 988624756; 1058032241; 260069709; 777664077; 604820570; 226959538; 502662688; 892834017; 389796176; 31335451; 717815877; 55367964; 737188727; 415880805; 1043181229; 1014750974; 1032331926; 539154594; 1006699168; 359052224; 385691933; 868392099; 612922117; 272667761; 5758610; 582576324; 560715386; 1002574546; 809946972; 519863725; 771186171; 74628875; 1072603896; 555043849; 287426806; 464730342; 239878783; 912233970; 65903991; 1021366226; 766341155; 554475054; 712121920; 571275320; 663055213; 967866936; 36683846; 387654129; 532249988; 285108169; 403165564; 10489607; 904083015; 1057301317; 223155392; 226092837; 823887139; 1024763113; 510591429; 304364495; 563764544; 1040013816; 131705955; 550622679; 352271134; 919297196; 407312954; 1027057715; 1068351116; 665087668; 441135684; 588695550; 11092773; 267708626; 480025806; 409787697; 1047130338; 23976402; 537025459; 738013121; 171123524; 914888449; 802747295; 885001160; 1020150310; 466287099; 934741591; 957316034; 312820673; 723412488; 222396793; 502475414; 439820187; 288314795; 350008227; 501910165; 649511940; 724119470; 240682730; 123110522; 199830198; 978904374; 658079974; 907108074; 591819598; 672531232; 1014943662; 381588481; 985266655; 529343426; 475621794; 717979596; 1014737518; 514949775; 299254392; 220562082; 1072582710; 1065083101; 288885047; 135084911; 414066811; 415494769; 810638203; 1018871568; 928757046; 538466065; 693931723; 566031859; 910137880; 458683911; 860023277; 792543715; 821779726; 572931313; 755345254; 918962397; 735355441; 591941021; 770419060; 16374236; 631005333; 696116172; 708983122; 935426033; 948158317; 150616783; 262886439; 45097025; 1049474306; 830392627; 368819645; 86946465; 609806058; 640645851; 937101311; 187800479; 1025796411; 48379106; 458579222; 669295332; 1053506940; 769178941; 211484835; 496027825; 868939314; 519265556; 729507350; 568375495; 538909003; 463340598; 394038888; 396613093; 641087910; 573442690; 832655044; 802846557; 255192881; 906862308; 184102711; 664309152; 22162923; 302105083; 124446087; 576569290; 267955449; 267289561; 891329490; 428129800; 59194801; 397666441; 379625035; 379972713; 773089490; 142762541; 58306249; 585988911; 418089535; 330049513; 764404753; 770741885; 173734485; 285135358; 758133706; 695391531; 1832479; 624792291; 1044042560; 1006014009; 158756528; 372020539; 522333429; 814608402; 142809586; 342663455; 704111160; 365223825; 1032640052; 777221465; 1034768334; 751917506; 546445313; 736875965; 583459773; 833780133; 441033882; 517075106; 1045664849; 268258112; 839320947; 447650223; 628480665; 305378516; 150544672; 97190843; 177622205; 665741095; 798163617; 156263806; 952391269; 563092862; 936494024; 15589073; 230248020; 713989177; 155357084; 127299031; 1026711043; 840344736; 618546058; 247335657; 479636126; 756226; 1023624410; 432186439; 983382907; 1027680632; 1038938157; 617258656; 845985600; 597562424; 746483224; 871652307; 218787793; 27268449; 119253279; 840969322; 356726993; 31598852; 300501129; 267486033; 976912028; 527108061; 652413486; 1035627736; 839729932; 554713824; 4181062; 24654493; 97654833; 826799112; 571310292; 976234743; 1048583674; 103364584; 895264949; 828172274; 485291550; 1007754939; 378399575; 592790074; 296727728; 705590606; 611598370; 233993323; 664467878; 341727877; 1008212654; 532561458; 556370930; 239790696; 1022895724; 133571344; 60209907; 1001771928; 46596793; 583230331; 375810946; 431425019; 177332957; 987450149; 42980986; 250213311; 101112827; 206329500; 261548521; 392823493; 872449801; 822237630; 934536788; 366332159; 78033402; 883603398; 136573517; 203812627; 837239170; 394619645; 726662047; 202698388; 565020361; 801603818; 42689743; 49248710; 128844668; 837757770; 575706382; 292031323; 945417294; 519644690; 452231404; 519659499; 67084733; 632065886; 442048359; 241826639; 1030476208; 567336197; 466504314; 1020931493; 439621953; 831643386; 395799782; 724595336; 607112393; 1038740244; 224974211; 411084695; 512252945; 1033420304; 727119469; 773125538; 346754479; 437697512; 367427923; 756088007; 346813370; 507600494; 239797199; 566558944; 521620184; 368278352; 938969680; 239316341; 842878483; 639995096; 777880378; 513436661; 618592206; 145054926; 146175997; 981744875; 572826736; 370386714; 740474588; 945982530; 440660386; 361791470; 780558885; 147313972; 672823097; 684375624; 649668; 577621069; 621736501; 772746170; 376474778; 664498828; 440288833; 334814672; 6529534; 17303269; 734591553; 859452470; 294421153; 255395253; 467903108; 509214856; 619654460; 826187713; 63385752; 493857912; 1062604445; 257886413; 20375208; 383858587; 933299853; 455054399; 436325475; 681796407; 589378880; 142886530; 98241065; 231225851; 92241762; 960053101; 71147822; 451423475; 153392659; 308130519; 1045739793; 673526090; 989791424; 800983515; 191869332; 934965840; 717356540; 504515754; 156949026; 748861693; 641823355; 282334121; 193174245; 563594024; 235746498; 157208928; 166146388; 335448284; 1035406389; 633833171; 901133380; 958814849; 260877988; 348627705; 961360195; 36993248; 295751634; 169833753; 321827353; 799118020; 129183101; 1057810273; 92375759; 600588778; 1002203364; 161062107; 206381321; 558530570; 727124158; 81558773; 342714075; 708709143; 701263952; 1038056584; 561766359; 864335311; 449791774; 393359407; 286591290; 1056887984; 1050552170; 1003769042; 304612739; 811531363; 472151229; 778417761; 638082947; 26313868; 339693197; 935792364; 536062302; 687725612; 100297311; 981810915; 404382989; 729633329; 982245293; 75343718; 521425096; 955407878; 755092448; 40961159; 528254597; 1007401894; 372750771; 970205566; 193755003; 954943222; 652091365; 171077071; 303926331; 881368429; 646176297; 441989618; 862016969; 357580707; 387911186; 1031185098; 834321146; 970295239; 9892511; 370573653; 900460963; 152949609; 797906941; 949175140; 30656448; 788974430; 406145904; 944985254; 429104717; 309687123; 42191612; 29801412; 588585151; 550493845; 245125311; 530083512; 1064390176; 530534816; 1022489925; 1021780875; 424200347; 777480047; 992881638; 1039017794; 503438624; 565513702; 595610557; 588635943; 859001662; 115125359; 717410864; 818149788; 1046226345; 33416172; 935443951; 257117644; 936893289; 839493104; 815326807; 429979185; 264688652; 123286378; 1007029629; 1052795087; 257820305; 966933496; 36917174; 988258161; 740844550; 163374102; 676170372; 874126111; 783145141; 167433733; 648249273; 119171400; 362284684; 373015897; 62417637; 405652964; 197891829; 670046007; 861085525; 1010208173; 193838261; 1022221595; 496468540; 35158211; 1055609147; 938377507; 882126849; 819494302; 667209338; 172422736; 140454453; 67347787; 547438117; 221997990; 544819377; 271074238; 179397086; 842979269; 272476581; 952508873; 271365295; 971836138; 707896162; 815450677; 214858246; 701604185; 54893563; 925156288; 704552311; 635439607; 778099561; 296596229; 20897473; 646624373; 341804168; 161069517; 25493678; 475745029; 721016666; 358520002; 126133584; 22788329; 576793543; 466000869; 1072470307; 945680698; 822286426; 590485737; 907812136; 366984867; 870145759; 1072079287; 848268623; 3594371; 509491802; 593985456; 605966143; 223305555; 848758759; 258710435; 694045703; 572511854; 756351041; 1045618697; 233445209; 459479643; 367194132; 18331317; 535657967; 454982151; 113335230; 769298142; 629599277; 472565473; 351790062; 176945064; 1050790531; 679600018; 1036241902; 1005739603; 1004269862; 141587805; 425152670; 69511960; 1049429395; 881404217; 143676958; 300616247; 759928426; 215425350; 628512113; 720557042; 222058674; 516184853; 119635353; 633512367; 82953565; 992416703; 917868687; 564614774; 735120088; 437061182; 1025300835; 398800896; 521397579; 1069560419; 388171129; 801577737; 46231208; 561837370; 53385569; 721630071; 985124439; 967939183; 484898086; 91506573; 323363404; 964112812; 892188781; 477496120; 1034537807; 834913770; 197513521; 620427150; 113089473; 256301236; 1007937362; 126294396; 393930539; 744208431; 970449640; 39980374; 663420642; 102552774; 381453925; 364893601; 594897441; 817691778; 282044594; 980533491; 429808549; 368062525; 204842887; 270554482; 786274065; 170377218; 242250507; 166843498; 450256168; 702254113; 79564177; 656583427; 249450226; 216798331; 251867954; 524983399; 526806876; 326084812; 966118898; 844823874; 941102921; 414187656; 177326331; 169785762; 474972224; 245655782; 32157641; 289584577; 817217541; 764860565; 720678701; 651210208; 501718485; 666695204; 469034174; 727188820; 504661296; 237912866; 922307585; 149196285; 601742853; 498907137; 350695312; 754815300; 747963435; 706972876; 290274657; 93041181; 521339882; 48979558; 185674527; 178756698; 778183931; 546338015; 34486887; 472279230; 522709386; 759376034; 315624372; 183079047; 835641728; 100377733; 151853356; 755980702; 342574603; 582115028; 679827520; 731671619; 136383138; 852917044; 542267036; 912245678; 479447790; 200360258; 1009574127; 799846081; 973645404; 1015165911; 486601916; 944447236; 217008077; 836285789; 869154636; 584135049; 195377146; 1018789020; 253401283; 784378174; 903079080; 79229755; 775341512; 308630946; 181291842; 723194408; 519317381; 1006454179; 151860663; 765790860; 698451145; 994960748; 663984242; 882614113; 1052718989; 151583332; 821823295; 843299267; 310050027; 834084164; 313033943; 656572588; 127059770; 953846085; 1027031827; 878366448; 1032223496; 703245877; 51227079; 745414932; 354822761; 959420863; 909315893; 842812728; 669285989; 900073243; 982448126; 139081568; 192950629; 433233004; 654201196; 992635751; 795234115; 116640884; 760119918; 443197999; 832857361; 881141328; 203090574; 831669136; 347927809; 657883157; 586501093; 238308876; 365065488; 949486621; 871963368; 577664710; 1005146791; 59494224; 349030145; 693797107; 470498830; 42640747; 266189638; 1020770465; 547228636; 546872658; 627202525; 740062461; 261663497; 351026095; 155497564; 1068759577; 354733725; 495678522; 589741499; 175527706; 906080488; 124680636; 153950475; 520953662; 151347717; 631647231; 939391083; 506737692; 940068222; 471678048; 161055893; 368438751; 158808580; 389089350; 977623280; 588366841; 933986950; 303214435; 781030991; 76714666; 623190984; 406111679; 462619383; 438149615; 463587388; 492237804; 620367095; 726866928; 785766754; 943869684; 12712453; 55618204; 882743926; 709297068; 402840293; 849257590; 544676398; 128013021; 496982135; 211509440; 129698740; 363691230; 729777031; 461743010; 157418005; 76735869; 156752251; 317098156; 434802212; 591798124; 463666503; 128053022; 804555190; 347429512; 536523582; 815212287; 390876522; 815651620; 527474410; 1050360973; 876850515; 875044018; 1007201294; 485808471; 427595901; 905316867; 1018714840; 66181911; 344919628; 369872454; 506694755; 448916209; 972202893; 896026924; 381175391; 176780314; 430577967; 589925298; 12417929; 172293841; 1053696735; 376161339; 108451540; 852962185; 467722169; 1066282812; 737225759; 75999366; 110073943; 649065442; 289147335; 275745614; 58625779; 732028101; 909333236; 1069322024; 907570454; 590431189; 598193230; 235629313; 509275695; 487681899; 371325511; 923942265; 748523051; 1010543592; 189383649; 81586800; 350731002; 300545690; 928040197; 649058173; 846001271; 248918313; 542740266; 71496987; 266084977; 862586625; 201364287; 210340360; 857587453; 160907263; 987262004; 451493545; 1007481136; 938245324; 806744378; 965852686; 453659581; 967083135; 1016434334; 897504343; 406162067; 644145117; 224964881; 43935908; 755202033; 647788101; 966027173; 216428915; 94637244; 630929886; 640423265; 93731140; 1012767064; 243137177; 633438744; 389953002; 14922193; 17941498; 57407150; 724465319; 409982105; 1019934753; 901892792; 174662873; 142662821; 611880162; 600101657; 879141168; 364763981; 141436673; 1053172015; 142425767; 688751346; 577064860; 753648063; 134222468; 992779290; 957582215; 180353061; 230972973; 424913525; 369342163; 534923822; 685189029; 930875357; 447822550; 537877366; 219165988; 250748125; 417480563; 280731548; 512749385; 151770203; 646020064; 847856670; 471607684; 539238605; 872743360; 119006715; 72540559; 602940741; 1053443356; 673127734; 282880344; 769739345; 324597471; 464755693; 671272426; 223658372; 68827173; 266762760; 881131238; 538099487; 561529015; 967665030; 807844867; 118793576; 297058205; 831692297; 312697976; 658944805; 242508925; 898771556; 791308242; 931217074; 629959296; 722075173; 128218721; 854295901; 377759743; 380979857; 891882913; 313773152; 46131205; 199583869; 410069340; 906479189; 46163851; 933962007; 525513333; 587300283; 886121105; 517582960; 763789503; 728263738; 1017369076; 471547292; 725704045; 719744134; 838875198; 1011984739; 216827997; 294676682; 652879743; 821966907; 601147772; 55318257; 749083410; 908287447; 448634289; 86599018; 1026093456; 465280070; 245978316; 900724581; 306120048; 124704964; 135334154; 384829478; 436345633; 312030576; 624551098; 330452417; 457988520; 88855688; 210772562; 184936781; 573633027; 306475284; 825658456; 361149738; 639935772; 993720215; 281575941; 1030551300; 611460839; 983068103; 1069203564; 876673841; 723814417; 535160846; 642143710; 689016201; 585256800; 936631596; 1062491972; 949694163; 552212330; 15466551; 592949729; 652179657; 622140032; 673633881; 531202052; 350553335; 504152021; 723983992; 103700470; 90890308; 908103095; 402007657; 100264477; 369699045; 745700614; 888113442; 897023949; 788517814; 864820496; 630914997; 1034366846; 42600369; 842799411; 160399432; 153768959; 414549863; 477125081; 73964639; 298731446; 1032251157; 962848219; 906672293; 950176269; 455015689; 1072020716; 506360408; 405592234; 598084270; 110942930; 565046011; 40977995; 27252296; 733795411; 517083235; 364904752; 279267907; 372511222; 759005903; 382887973; 379329449; 75955718; 123118212; 147812897; 174347403; 716128427; 380644527; 555620646; 513752361; 1030071781; 907638399; 837787921; 424922278; 1031909301; 298517525; 655030906; 101168619; 428707048; 689538221; 309906329; 558597254; 714035569; 1054163532; 996208717; 33656959; 930251432; 379705933; 255258625; 1039860028; 925368546; 890231943; 125870119; 682944725; 671823856; 402451951; 288422562; 112660765; 698967115; 356216265; 800295142; 951239947; 263449039; 41178452; 1025455943; 831691539; 1006856847; 477400005; 304895026; 733581937; 102303176; 113776073; 26449099; 716469150; 803023100; 965146221; 753595884; 19281388; 103648654; 837033403; 347369991; 655934984; 938585753; 83078533; 75706508; 775084740; 699955727; 201604503; 739948517; 917688270; 388489927; 726072449; 546244930; 619854164; 268344247; 510032638; 677599735; 413588282; 254654349; 619583964; 581103845; 349265948; 419519366; 560436036; 624312897; 303316317; 809485205; 1007415377; 121898736; 14039245; 21093319; 176764664; 250760997; 776876049; 173179574; 134125357; 81658875; 83863919; 118114802; 1016708458; 201932216; 466841118; 586774111; 218097621; 266324312; 684593517; 693347254; 171442677; 699293351; 347815381; 444583210; 769407049; 351500599; 537079992; 338586984; 355814356; 392432807; 1066489992; 454154712; 990156765; 224310140; 185132891; 384530285; 637788389; 98879251; 304505614; 705088873; 302967102; 808590123; 377503795; 677301694; 945884962; 706267313; 349129921; 782356899; 453781973; 712752282; 975169964; 281698245; 83079027; 605320667; 66399152; 812434568; 428074545; 964169857; 781089414; 1001595794; 1045173291; 521773566; 231625959; 644060346; 150576512; 370437196; 37212426; 310032606; 541599111; 116644967; 857488373; 418062782; 33366044; 288322232; 487995515; 379459551; 28131490; 375512983; 1031012164; 245443820; 654582377; 542558859; 65021517; 693153851; 61953077; 52383324; 487427099; 904479633; 895977710; 908568846; 704762021; 45525433; 277774269; 887738924; 220641214; 475182638; 600475108; 394347901; 864936345; 958295783; 612669343; 228408662; 121634125; 182278053; 713216079; 484881809; 939410771; 19542860; 705918104; 468659130; 811931447; 358074255; 90597776; 634506023; 333979484; 616325881; 681732691; 70206831; 521480555; 827531491; 35586517; 565605323; 447941886; 113917165; 526832069; 677835226; 1020971118; 962348170; 927180869; 881477639; 755748410; 58437030; 263512670; 1005151623; 189137799; 903506033; 697943100; 290754745; 650429920; 392814204; 846826365; 812724714; 591482755; 65130999; 211735249; 928935183; 1004216992; 726061628; 689628655; 50010759; 489972028; 928122442; 955882851; 726788120; 1014674953; 130726212; 1039122506; 97736620; 951246469; 922520647; 1033809305; 218645237; 257557968; 375725225; 185779975; 634577261; 786318580; 752919741; 569008230; 581631086; 411310470; 463438544; 359303838; 56139361; 683957893; 687676865; 567961284; 427550647; 175865253; 691900418; 799986826; 202099967; 415502145; 738483767; 656604289; 600108446; 688736422; 937211304; 125157686; 237109052; 542088746; 768071092; 157594658; 991313645; 273868555; 863613391; 310643454; 514252361; 274896353; 418447602; 680210719; 424664548; 249250464; 986901193; 726606629; 803502230; 412207582; 626579550; 389953547; 641137606; 223202066; 779129418; 776471970; 344601428; 404820980; 739853676; 79861419; 264320891; 346752790; 1000669101; 673864257; 354268998; 671787967; 344027004; 315727226; 566325955; 85218073; 276833010; 80795346; 151864544; 330557600; 506289431; 70854148; 336457641; 224974770; 288968977; 60102368; 489572541; 913506967; 203948178; 776650913; 921183352; 677308894; 129364635; 334619772; 297954; 215098514; 362752149; 266872112; 550666236; 425795641; 340817315; 937862003; 934859384; 195567547; 196533766; 2011580; 1009756503; 161285319; 382309804; 659516923; 408351510; 333631527; 638141621; 817285056; 421579036; 205949948; 292814596; 168996002; 550221677; 503922580; 473210583; 731193274; 214221724; 843329745; 469279124; 19537068; 164248383; 886225791; 620402657; 479914111; 494435125; 817778122; 642570993; 292765452; 49607073; 538067893; 276759122; 957646260; 623755526; 469268039; 252100071; 376819034; 105232300; 275833580; 984675484; 572707310; 845934626; 903048316; 406860317; 521432637; 40392408; 842620060; 1042867808; 35176930; 1046302903; 989268052; 74621604; 263611696; 322807665; 371179958; 205171827; 1002604485; 10710874; 1014918299; 174961680; 859958159; 410744506; 924779893; 938205055; 776938966; 555629851; 589830505; 677311607; 947248478; 263555406; 622436253; 156381638; 311358385; 1027003598; 303733842; 470585960; 1032890961; 1073270767; 441422126; 57326481; 759008716; 618602301; 780191877; 865739701; 285697317; 715421255; 622509844; 807067988; 898770483; 610323045; 624895724; 563865894; 482407423; 337225455; 844755743; 896012395; 843242088; 574735549; 255426222; 367128049; 845227309; 106486587; 935067557; 274902540; 411475481; 544696318; 193119623; 1055531418; 1067154974; 827252699; 110096697; 827756961; 794639978; 804904134; 167331342; 527695533; 619675514; 552310636; 1047225603; 560699962; 16587897; 798961468; 338437240; 949172988; 15930102; 384438768; 211975450; 650825982; 714745625; 960334122; 611057133; 373251494; 720091277; 531799724; 826266256; 449313362; 484592716; 996182817; 348238243; 326849569; 613310217; 822145678; 35549126; 737538114; 86750303; 29986125; 147806788; 199506625; 757407980; 1051769028; 1009462482; 1002807110; 558260413; 873628838; 311171257; 968139054; 569815111; 162101120; 270466686; 989554354; 926588566; 309559728; 286787375; 119822631; 903849398; 392562906; 354974526; 102709484; 311752274; 434524770; 961551012; 198073070; 854139984; 919248819; 870563425; 863461138; 529051433; 718628013; 683665285; 567460757; 76246837; 788023614; 355345557; 795938204; 745703273; 615674891; 116112098; 512497895; 83573243; 358534639; 534370342; 585992473; 735367061; 242964734; 190148693; 955638002; 195058861; 957670009; 1516083; 853018743; 1056500611; 193261654; 562113669; 241032685; 107310123; 1018896027; 469274265; 1036342855; 728999916; 168445005; 327576952; 815637350; 150816533; 524778383; 1030846204; 865617543; 844036633; 306392874; 626254725; 121059398; 206203269; 1017316127; 372485553; 799258881; 117076246; 495343412; 955662580; 409860185; 791736774; 584925788; 947946755; 216965428; 297466087; 981815595; 511908989; 520449226; 783228875; 936049282; 464992092; 364849451; 23752822; 59114158; 393587917; 1054567934; 736206130; 937767979; 293721068; 410446409; 955314137; 160941324; 295411124; 940968406; 876164268; 482090082; 542072549; 520007052; 282055602; 571998492; 693311644; 202303485; 33885548; 676256827; 968938010; 651350564; 548907483; 967249150; 158475363; 292463000; 199991113; 789583484; 45053476; 830316130; 406448732; 199626343; 1018828161; 649404639; 868820599; 1014249799; 262986901; 298442169; 375245390; 746981339; 853378581; 109856759; 775376629; 151249637; 626150157; 859868385; 362644610; 849450999; 170393379; 331759659; 364607748; 237884575; 719789916; 884717489; 752252287; 359470715; 892163255; 336878121; 124075906; 684848236; 194085665; 218691572; 845213915; 751939400; 550909066; 462473201; 485448518; 233630301; 240564350; 669395820; 729009767; 911919998; 370943160; 154017234; 905896836; 769356298; 1068448549; 782477158; 836113313; 163915630; 12351368; 145091904; 258799863; 321963936; 803155605; 250272604; 172287012; 755944061; 288813784; 177136386; 1000388517; 250938090; 708865978; 326969334; 524240137; 452701508; 287156660; 462231463; 876186335; 919760760; 423571549; 958750836; 485371500; 899224843; 236757076; 301396146; 871823954; 852016565; 249016240; 90627026; 341365049; 445484413; 507510955; 806152344; 564271858; 194305090; 815643028; 608909215; 179909579; 1060943567; 811869483; 49018655; 151564460; 932382769; 1071697931; 1067640537; 847313198; 255556471; 926444415; 1070860; 838662338; 728816339; 269441046; 310294205; 308143253; 23552076; 80556145; 730020822; 1063980193; 694078875; 833375571; 1007714571; 658718754; 992644641; 288424611; 605942591; 947763013; 360436822; 608885095; 492380323; 488488159; 156563936; 370122015; 305131169; 623061349; 911452634; 519181746; 271648177; 908678017; 535677906; 479509411; 45126190; 646997362; 15755962; 234310619; 419002755; 353627559; 991436030; 473326408; 714467027; 287745689; 425829807; 178797811; 543422227; 983753465; 498257482; 695201020; 225700126; 593095092; 16227448; 162164388; 35610207; 59966782; 840333812; 877231117; 423159458; 275442511; 528998647; 54709151; 420149303; 946966477; 701212841; 745822265; 531058340; 204637905; 839952138; 1072335204; 427874230; 313006181; 166643141; 254002649; 951123513; 1030588298; 630290898; 126836253; 896876353; 972876629; 321310055; 317467848; 394248801; 412805399; 732339705; 905705459; 394349892; 715017574; 396465193; 995610417; 176903780; 170390315; 538211122; 173634167; 68744902; 142712576; 607997491; 58706137; 830404229; 200474455; 1019657166; 576518564; 387553344; 790037145; 1055095219; 368099496; 367329907; 207156514; 817355054; 176927391; 125708508; 461668244; 597212147; 181632967; 542771640; 814106692; 148232400; 459387957; 473941601; 231560583; 214113654; 861239263; 337455099; 113800158; 533636667; 588406917; 255546211; 573353217; 831795138; 286225968; 789287795; 761009634; 535740731; 528894924; 85248399; 974604335; 176672013; 333942933; 816732325; 843567788; 47367993; 563084313; 948570483; 611757998; 739596776; 272124246; 835078228; 102643763; 146265882; 571709686; 1058811951; 708024996; 937520484; 73527858; 32661477; 140129745; 223082405; 35004269; 523160454; 1003659816; 303173879; 96173826; 353586006; 644750836; 102088817; 591490078; 511889779; 348297906; 772123185; 756251631; 43060422; 735918622; 935188686; 59012599; 861833647; 683792483; 540964125; 246618918; 638279153; 1049037363; 670738782; 346511348; 714456766; 605951312; 900109132; 1067368606; 499799409; 40315347; 464765322; 140582406; 972993358; 2762980; 441301237; 888341677; 687746269; 144495365; 852853885; 58690793; 759165095; 823830572; 851229513; 57275081; 216058082; 344690747; 826037009; 302667503; 617688291; 455066165; 274526532; 102412191; 532375271; 512777180; 102525487; 262095631; 367593552; 162068798; 225435705; 754568337; 536034207; 702338968; 428300527; 829109876; 354694809; 249365591; 661769351; 135402525; 93701487; 561697095; 800991172; 828206447; 894144647; 256584159; 986764715; 771878620; 756035068; 24161336; 811898286; 898813998; 420348533; 735544921; 122768532; 483510170; 1032332689; 722973181; 617080017; 1039509481; 823189745; 84797267; 374038191; 843171013; 272543432; 939132739; 337391593; 319159958; 48258588; 970572900; 834001231; 218735941; 426951716; 455545938; 594430030; 441894041; 527225364; 621130878; 667988900; 153101340; 183308377; 407903687; 542285924; 342198293; 340839502; 750972509; 349989363; 355455838; 564156017; 953782872; 724855226; 193200311; 749378833; 997662358; 854805832; 520211827; 643319945; 49063368; 16210067; 239079245; 614371241; 696010821; 740436439; 923161855; 859757960; 984049548; 941890655; 856224743; 639024594; 156091936; 527070872; 240182941; 37230019; 247104465; 418126148; 213532784; 519248531; 1011536938; 474345355; 58732859; 582327174; 702470572; 231468187; 223699522; 227004211; 503338657; 386674679; 112486538; 38742020; 349502138; 795309497; 381250132; 90514434; 742475233; 79996506; 402103790; 750725133; 449911600; 270375102; 544384455; 453917937; 74160385; 1046183604; 210394922; 69296668; 375862960; 1072881611; 80979547; 761612568; 257658540; 16344608; 493779674; 836327003; 26759206; 171225729; 941346064; 566593583; 245592213; 99471503; 297150492; 407899280; 216415371; 895984750; 27232569; 257001975; 582047995; 948714785; 958741685; 879979659; 57937636; 239097205; 914976021; 550288300; 629706142; 218961312; 780215312; 352145098; 377050359; 741044248; 256211803; 358066731; 540912868; 129775737; 594994524; 1026636961; 192567747; 425686216; 303828688; 414442142; 49355221; 1007821402; 250398732; 763615633; 492847730; 277928406; 286143717; 605930558; 807753760; 63965415; 862518947; 805891307; 661184454; 756991365; 975981169; 618911236; 773511065; 804579619; 816105645; 326139395; 80071028; 966509751; 855163782; 939767249; 225346486; 13600864; 5619369; 343988473; 382747254; 1036253238; 943723446; 364004871; 71412113; 732206733; 39406121; 452449725; 1053991697; 44953053; 525425080; 175006374; 640266691; 275920030; 224704851; 506462380; 295192183; 96223894; 148957988; 61917978; 250199447; 232429237; 1016984745; 601155210; 884966313; 937168928; 1001799590; 555000566; 949332389; 497257229; 8917968; 827977173; 629821620; 801902921; 540340840; 170196001; 983734392; 501701031; 884504611; 596492471; 313501032; 517221971; 654305120; 349312277; 634117962; 845898338; 731529127; 524530474; 762670296; 629843643; 1635274; 1059551058; 519964639; 363242023; 391403544; 99591069; 851946162; 715762193; 489686328; 1015386981; 635868766; 527710796; 987639622; 839898497; 349405777; 249005441; 987959666; 209922027; 226501597; 148230586; 12892967; 210244395; 122188294; 723778232; 603852066; 785464456; 466300086; 1056690976; 755803542; 42859910; 824065621; 1045229938; 310041213; 986982739; 309893063; 167678492; 203270367; 1040215566; 180106002; 678567027; 303812677; 465382841; 642281419; 314920829; 715328052; 579755280; 802857267; 922676345; 765115351; 974636121; 549549580; 550263932; 297189890; 135278252; 1055590851; 177212111; 647401719; 178419252; 727363780; 956073504; 883084743; 970821574; 480875813; 371874248; 567063567; 201106377; 1041602203; 992924456; 368604965; 594303713; 146723214; 671113471; 545689756; 720597896; 895160807; 450466011; 352951441; 963514232; 289340580; 282971377; 631656626; 48833612; 836336715; 545831916; 717586883; 690192537; 706355018; 110999303; 953788967; 931467446; 518145647; 384445784; 49952954; 122523033; 728321992; 92573537; 203585360; 1031550420; 530506686; 1058607529; 369267461; 678627594; 1012209240; 51647296; 246868895; 691023221; 1033461098; 901887153; 321867711; 234393187; 236084045; 675785846; 854302634; 742360196; 377881317; 615621728; 15940728; 598419456; 939625293; 417255540; 572909227; 447272528; 197750580; 845845299; 541786462; 936314829; 578757102; 14016040; 269887377; 709720185; 252356561; 576672689; 625221970; 171907088; 910665814; 1045136216; 195889405; 22974825; 813456585; 868347646; 507388405; 1072370954; 646175018; 65311253; 749326179; 138561560; 602507622; 923372002; 498498262; 649467057; 183623056; 287402157; 40391926; 1045126113; 794326799; 66138605; 588363783; 509052973; 983140782; 931922980; 464784754; 144742096; 171276312; 215770364; 512757499; 417785493; 795187036; 204475655; 317446061; 747373433; 353291309; 537739527; 266326505; 313086531; 720095395; 1051402574; 660566972; 21150518; 932935670; 395204524; 397958115; 658286450; 150665245; 412920239; 868653308; 761599492; 726901942; 708119231; 965930587; 413633852; 816883393; 478493109; 1003340330; 920864989; 299620450; 144472425; 379502670; 122747690; 793937520; 842591724; 889635265; 1020794129; 263190067; 486448854; 73978782; 232673825; 746511388; 890952604; 398276091; 856311298; 752614891; 393149499; 475449520; 214804653; 284407059; 733888103; 516372556; 274370194; 380743780; 174941125; 651021045; 500677839; 838943238; 541853452; 783931744; 1010283213; 26249984; 303414221; 58865244; 230293125; 605285198; 27080943; 735088694; 378834093; 580872014; 150336561; 110183096; 189718354; 894547450; 440170428; 718673563; 182253592; 1018231253; 867184317; 129577868; 200688373; 1052150161; 264257513; 538640488; 251185232; 594918221; 805924549; 24151247; 268161595; 778252034; 479231185; 655867724; 492132513; 406607118; 908389676; 682274667; 466543796; 555015000; 18085910; 1069173664; 631606328; 580479594; 790950809; 676696811; 481700881; 945901039; 582381147; 635513195; 1061052120; 426910800; 511074078; 844071224; 626679107; 1050314649; 108284558; 1011119188; 888922261; 433172870; 382333829; 330183514; 887269577; 662577037; 342037982; 770228107; 939983471; 66902908; 475881032; 622958711; 59553013; 749200139; 792120962; 546515934; 261659249; 437634991; 318971359; 980252540; 185561519; 977030139; 65710684; 922399675; 608541244; 132563230; 186123808; 332324133; 86817698; 8536565; 885670820; 144069602; 131489973; 420907052; 578949007; 13020958; 861798830; 1054796158; 51428271; 330547341; 970329183; 888980004; 521436896; 72012492; 427412798; 958046465; 994537113; 800497989; 70606697; 883011952; 36490366; 780541546; 218459275; 580745836; 1026791317; 1000284668; 79276971; 404395849; 762835537; 579925355; 547683937; 892586162; 326239120; 118758403; 966898678; 375702850; 779480686; 512233153; 53969203; 163622053; 377920573; 493141126; 476402036; 5320249; 540853843; 398527644; 856594646; 809239463; 573509814; 475732609; 457791559; 999934414; 349190099; 457699459; 978771551; 244290570; 957330748; 501898827; 1028264807; 409389734; 9585358; 924022714; 72351530; 482084607; 706548444; 191792927; 246371796; 621312927; 255507687; 997026306; 817679572; 444658675; 735699918; 853228738; 188981139; 550406901; 357361432; 27963454; 822198263; 398777474; 1010915552; 456773967; 902067213; 543466447; 156924626; 752636536; 507535100; 878894403; 668327585; 677589007; 767927642; 42428795; 997894505; 800120523; 859286291; 663646671; 757325263; 1062695561; 151201863; 482999486; 53540402; 965959438; 586091213; 159665045; 456607315; 125415093; 789879630; 375366906; 705351234; 349399003; 24423805; 503729817; 625154089; 1025704952; 672075779; 985455340; 240154545; 762647472; 979109733; 636839609; 678823508; 55946747; 684250239; 176201714; 553570065; 493560684; 365936100; 152822313; 964962271; 463786288; 1012570693; 585160401; 384353547; 742063850; 420473864; 213050457; 553758632; 531077162; 149361478; 1040097823; 224078240; 788124801; 1000970453; 494317234; 856248015; 623892681; 523605241; 766352177; 565668536; 458293565; 945884655; 191229692; 320805342; 484875502; 641853027; 1019508069; 1000674411; 1060431008; 538328595; 5853451; 696677629; 145399121; 568001927; 686473958; 920065847; 124321326; 419292710; 477058717; 513276076; 163498850; 958428408; 368238606; 413239283; 312059714; 871350873; 494616137; 900204154; 1034026738; 743756084; 210514364; 380792673; 381564359; 172224040; 914810454; 546043542; 157332064; 2941869; 1024435089; 523307557; 967416612; 567108960; 1063955160; 135740541; 600844325; 894264486; 702146950; 605353581; 904491414; 225982422; 719843748; 330153552; 1058309062; 584553241; 737311513; 738832083; 101035498; 242699368; 513751959; 630062913; 290556770; 846040750; 319947937; 874958655; 562396319; 871500184; 899144205; 294761082; 236656426; 26892058; 321215921; 546930795; 754874257; 823234587; 452532113; 984582501; 237390589; 962428459; 81377217; 872064106; 684818570; 162629894; 814002067; 918665925; 563767894; 651351373; 1042816424; 499657687; 342901828; 779846079; 93878171; 648668808; 629471874; 1053066664; 288577444; 806176284; 805499540; 928628409; 111612545; 432844946; 430624107; 265723361; 295916974; 366785744; 576456395; 324385089; 428441455; 157513601; 452505523; 415879403; 755966391; 653487269; 1048937581; 43628661; 369506347; 35886100; 783772840; 993811879; 783152076; 560092855; 393366631; 3622668; 458020720; 608833685; 650201156; 544426559; 802490802; 158881040; 629094254; 288491177; 715622848; 327103832; 914577171; 128291416; 956937040; 899894271; 159957357; 489641508; 811949996; 838994576; 305985881; 497182342; 655298550; 104071070; 458423209; 786101255; 591134936; 397931269; 943007188; 826620010; 504904585; 996947133; 586416242; 990654847; 1037733524; 98422562; 69454825; 660468560; 740885429; 187110733; 423086961; 108823537; 756309608; 1017554694; 25932402; 432847370; 760108630; 1070793495; 114213765; 774661876; 100749844; 856231084; 307391714; 3414376; 411901623; 177781423; 938881221; 795834919; 480051394; 429602819; 286057473; 706972498; 410092560; 985813831; 859900348; 343470259; 587178888; 163330147; 514397783; 433557572; 767775011; 640372312; 91668645; 310790348; 152370636; 42447308; 656375345; 375977494; 60264579; 493849509; 1040779255; 543350123; 263706250; 386765700; 815568774; 114621225; 253661041; 710112502; 961577921; 62189988; 584183226; 1069517718; 226423131; 894234980; 126526393; 839273988; 810068154; 920163274; 522291226; 889475156; 1015627799; 857236779; 585953586; 966657806; 1003767090; 236470910; 1058423715; 191580791; 622851801; 173642606; 897980337; 407233847; 1041767491; 362455521; 645936933; 996941086; 74326209; 768830871; 462640997; 570548685; 418361367; 134993507; 20917453; 966846739; 471382413; 756092379; 368932754; 595876375; 198871783; 59889760; 742322576; 414246272; 413467566; 733754235; 951795111; 440626660; 803771471; 603579139; 299721; 53166088; 490825763; 942031420; 900496926; 799849747; 17424716; 438390433; 344678870; 1058951295; 741364211; 249081614; 412560640; 422258579; 658939702; 627188203; 454978863; 154943724; 589314007; 560306513; 961030057; 1012062812; 663486659; 889686541; 802615777; 1057478988; 694890647; 835131254; 129291663; 692779207; 369386017; 220748501; 1021396029; 939396763; 659915004; 55233413; 912629355; 373151129; 117667963; 439532043; 822921405; 995498752; 929033393; 21485170; 248081385; 740882085; 495796803; 896060094; 193981125; 244296807; 562192173; 90631439; 735839063; 1065538526; 857689078; 623365718; 652763648; 970335546; 1036058753; 40739553; 447336387; 467572386; 824156325; 1033995279; 144201230; 415550465; 859559438; 442284432; 656360141; 368892360; 145800555; 681517018; 535565705; 941138880; 553027926; 826302569; 162418897; 558920999; 809629118; 857770177; 503822762; 354291030; 133839892; 294173768; 544527764; 915782791; 17822275; 620722706; 714072117; 492560325; 743088854; 764564805; 403634270; 628220277; 589922662; 972896915; 655360369; 143980961; 207474037; 287636036; 730051822; 640387594; 73230694; 369575231; 351073798; 426812670; 437913512; 525505213; 283830645; 185798407; 599537597; 85327531; 903407717; 1048798157; 571674927; 425899094; 702144961; 515059970; 406209730; 900571316; 137853516; 529907423; 724038046; 890749088; 527004002; 205289656; 440421311; 722747974; 35474555; 839402741; 848571939; 116153845; 98271063; 513926587; 876219099; 801021757; 982168602; 859953947; 816597496; 622487157; 345232194; 543545178; 643453060; 737902209; 948408660; 626407860; 888755049; 626961264; 281308332; 791372157; 663019774; 634564191; 468875625; 148600614; 504410775; 692421150; 312694065; 711320238; 626809799; 319197677; 274243278; 728138638; 18215044; 970399645; 21097233; 221183936; 118322766; 236383642; 571477035; 246270906; 14595246; 839488973; 176166359; 316540440; 1012099817; 192877025; 855162971; 668403863; 117278602; 697814582; 293577871; 491365819; 1029881849; 562511653; 321675338; 736257233; 521335319; 1056700391; 299182244; 1032735024; 536841993; 379362949; 935102153; 590245867; 468760027; 214889600; 576041991; 495418046; 50134660; 267327441; 52575246; 954126911; 556054796; 714883521; 13404850; 602998894; 748984542; 607211692; 397598498; 631440078; 106433256; 592293877; 765783218; 42899418; 290844711; 445545472; 857779921; 596642836; 463638697; 141336751; 624192609; 951109939; 235416504; 830736877; 657400399; 578150682; 552043887; 1039751477; 1071452059; 59635658; 56814627; 294301780; 925102891; 736072149; 267425432; 364098993; 399961936; 276724760; 924097201; 532179399; 273052854; 716889006; 623064817; 990279722; 1056348915; 880847506; 519093954; 604879606; 368939546; 688026998; 634280879; 368487014; 666596361; 709167445; 728304135; 753068803; 833657369; 50928159; 507262961; 178072318; 875782730; 1040428539; 498348549; 677718843; 112050438; 829692046; 37685183; 603597669; 1056966602; 922843575; 286441048; 43004228; 464835936; 737435940; 566177706; 897794248; 87124582; 274347457; 647306297; 114063557; 266555746; 685228873; 578497183; 752802311; 794717770; 990870096; 1043760416; 420039235; 931546618; 124186194; 502965525; 204853173; 217405263; 603978686; 916660689; 821233626; 874843852; 287062128; 578682495; 99024622; 177847663; 511246332; 879367504; 323664026; 989417316; 927144505; 1002585696; 1001274852; 122537841; 952736615; 87959717; 154920163; 786298589; 743606032; 288092488; 92092099; 1073733163; 737622604; 90887818; 511025378; 63542592; 1012696953; 626350134; 131913418; 742578949; 212451531; 137263880; 544103806; 1061643803; 604551532; 466367685; 44729529; 366351378; 338943069; 186653872; 790178997; 986034275; 129392908; 407952007; 95505811; 381203494; 777314485; 59547470; 999472085; 1025680281; 408765335; 726953684; 15756618; 115563470; 958221268; 765127837; 809916814; 317460863; 676805519; 222155276; 173547364; 309554867; 670035975; 604574618; 1067128589; 582885579; 278300771; 365333198; 1015146432; 902200351; 291674092; 801644552; 824386181; 779529438; 277147212; 933718848; 1018754034; 980055340; 661061412; 861171451; 364778976; 774987766; 1001613291; 374568215; 661957550; 806879022; 1006674195; 946441181; 652654054; 936095504; 134744184; 873425709; 468217511; 376913957; 1052091261; 532458; 803369124; 274726911; 111304188; 477793268; 347669554; 630011715; 898141542; 759588203; 679293936; 780228234; 737427852; 937202016; 109549020; 89815834; 466198314; 894493139; 43173965; 998252587; 288025532; 700235315; 407268654; 245758332; 486196440; 415535331; 318449456; 1030235531; 619838459; 565357426; 902913967; 757966043; 771302341; 811473735; 100916815; 481404590; 486882256; 560680219; 63216000; 219040146; 585778402; 1014226727; 654718538; 808602782; 998842396; 870564421; 875877205; 761094578; 1038248925; 962219129; 979313793; 969378468; 874161655; 738868098; 600940118; 715026646; 131072066; 330690951; 479330208; 217548618; 862602764; 792253967; 386945581; 896337221; 350597367; 608170996; 485653591; 596005507; 488393337; 790318795; 772233976; 1049016911; 354426320; 599263431; 197417702; 801503958; 1028768751; 642286305; 588932396; 55069843; 389122984; 1010543485; 396360495; 42020876; 179855381; 859302489; 610944995; 572905048; 800781681; 327182402; 331764232; 87281784; 631129991; 336762595; 521968666; 709673637; 404638427; 688579614; 418504062; 890907343; 862022360; 939275462; 983888139; 1032864833; 546203158; 119493508; 882288666; 547855647; 372931360; 615278865; 822090039; 536418697; 398085568; 591579067; 663894941; 576032132; 842510140; 28260008; 131824658; 111556006; 858308093; 661103696; 815834789; 729822247; 158788125; 249621748; 980746928; 318237494; 337822192; 543093402; 797926451; 570877195; 371004991; 496264076; 508121155; 887816605; 791419197; 268122708; 193185299; 710075082; 874148489; 894143620; 619668665; 252100381; 292385670; 924618583; 370421113; 882807026; 374449243; 450606594; 552176699; 100318507; 1049396578; 863144693; 132019877; 1004506989; 587236086; 659084641; 775749930; 343820626; 108733065; 708579758; 228006594; 175411031; 976210455; 573356823; 817971920; 277176714; 59322629; 742342244; 250656013; 16007456; 509972112; 490540437; 541230742; 976492819; 228796083; 803997570; 454808154; 174826291; 602532917; 66438282; 240060978; 1009998139; 742987077; 685115125; 161458974; 515375655; 297219250; 816945167; 538367087; 43682313; 552273983; 667653980; 487780931; 771292503; 337311743; 193175937; 929548772; 717775677; 873206493; 486617766; 591403055; 99532922; 695898371; 206595382; 97257756; 838297658; 983759969; 257972701; 270923192; 1067435199; 785366716; 933350948; 445563163; 896101077; 1005526436; 211899043; 435509074; 59793995; 883316681; 923744247; 846116635; 815386032; 1051001530; 574205349; 124434926; 816964589; 5443806; 252601602; 759484725; 1043029967; 172430048; 851499430; 134325704; 724668588; 866118358; 956566066; 186429924; 307701707; 328603284; 221033758; 413352153; 691604114; 509168763; 308802786; 847320908; 118708522; 301431857; 264140200; 774866083; 936991782; 1050224365; 1044957240; 621746822; 382972294; 820438528; 1013970655; 577443286; 252548589; 407257520; 235450205; 338573387; 254747154; 64321088; 463523929; 989660010; 79632364; 309344634; 161912993; 993804133; 990443854; 1042676352; 654272824; 73781274; 407758379; 301217560; 597808249; 557172698; 125252306; 149652694; 527717675; 706943847; 852216899; 679703014; 928390584; 80714648; 674628049; 881616771; 1035682369; 226437478; 428209282; 906864081; 403209104; 475102871; 744597397; 985934538; 30180496; 539838942; 443424034; 189973657; 105990877; 20840472; 73930072; 582544105; 145762607; 781401989; 594389757; 735840398; 1004679129; 767901335; 337421257; 640269218; 859365844; 849844502; 1008381255; 380962804; 230614028; 434852709; 822943874; 136586680; 354569855; 17871957; 565822654; 339984053; 100949194; 740353087; 363368976; 558481494; 598802507; 547940336; 522539163; 731338174; 245473686; 154506025; 855530789; 341538889; 406316935; 468514811; 247241615; 577471055; 37171369; 850549665; 626091550; 568736329; 336764524; 562399716; 719804779; 88131240; 276073184; 801695980; 169595629; 683813531; 1004912621; 36539762; 653695608; 463399400; 600498985; 515487605; 16364306; 317470542; 293597418; 266174962; 837349548; 539613015; 709319995; 806134634; 37125768; 449260024; 366509258; 805107047; 134918830; 118411267; 322267715; 456745307; 391184218; 819149241; 595284734; 631369167; 963286843; 12536865; 204173870; 6924246; 966865647; 296855567; 164091871; 988009907; 87516518; 620531322; 654069225; 192249317; 276227690; 339480310; 765952644; 303818368; 977413473; 616476017; 843320008; 758558995; 246421975; 616608025; 181758808; 329314435; 977908368; 265260762; 1010852119; 232953340; 174229677; 702750155; 760098557; 760292034; 620362161; 379770647; 807559440; 595926444; 601684188; 842271644; 855325232; 622701071; 108496503; 931549590; 945941429; 1064106042; 35302609; 18054589; 176992716; 214566779; 557767694; 219171632; 945724371; 257655949; 271747408; 852256976; 568301843; 1068114861; 845841337; 1032959351; 714347701; 275525294; 293685170; 279221435; 606566300; 755196767; 457042024; 827813887; 141408589; 402808847; 185474884; 182946260; 27849929; 82757319; 39548118; 816286551; 635609745; 1016330985; 705526415; 403237303; 317830321; 206861896; 581474308; 824749620; 463234674; 986903970; 711208851; 775383577; 103811960; 970758398; 653258272; 881615486; 814061201; 370387249; 927350780; 500785062; 106392618; 182748157; 565906625; 349298545; 995103086; 256026685; 904506839; 91938792; 183206876; 761512671; 939977750; 717005214; 303290321; 55178411; 908282487; 713280252; 1063669499; 541626502; 1022771925; 200025905; 879788867; 1021004184; 668953973; 218889670; 391702497; 26754507; 630208287; 960194677; 302385758; 484201484; 501364174; 468871043; 388081581; 478192602; 975339396; 744997863; 636327066; 744370393; 89327848; 736485736; 428651686; 179435534; 119352715; 743090823; 892990206; 989438806; 6698128; 193727444; 300074538; 671115456; 76200381; 710248515; 878858474; 980391969; 672546949; 296076992; 1057430182; 914562350; 248964177; 953113027; 737484880; 880673998; 322812572; 673992721; 333163889; 255565938; 48600434; 142462908; 939605592; 929604149; 553301711; 882674220; 495721449; 186358530; 475593251; 583199916; 592887985; 800486222; 569523715; 809185264; 104571023; 293208299; 859122789; 214703587; 602344005; 498229521; 27386848; 45525460; 284951901; 526084157; 335170200; 830928901; 244908649; 778711056; 274121517; 747237282; 931627770; 747001216; 53838528; 244327440; 994060651; 944324974; 842904904; 439510452; 794925658; 493394256; 907700829; 327003050; 883403894; 896230560; 644031449; 914156797; 969615153; 940650775; 224759244; 972256159; 453075333; 775984682; 1034030908; 153701309; 671686253; 894980899; 89494229; 323998290; 881503818; 75655234; 671289990; 20497169; 920582847; 631502630; 981127739; 353016829; 900701393; 556689000; 261687659; 443038505; 332325602; 74558384; 94719479; 631694243; 390429745; 353624966; 583897792; 196966139; 1041725623; 327212324; 221202298; 670695693; 375176390; 1059323288; 724136647; 121610165; 473709722; 994941313; 401989005; 250524557; 246323114; 971382565; 426150564; 830551526; 305308440; 388177853; 500138396; 363426535; 636542917; 398838912; 247429053; 329909514; 938954944; 654412452; 820425411; 732930326; 838040966; 614353113; 278613984; 80946213; 311581705; 947392995; 841209218; 311080012; 470179357; 173398036; 999302516; 443802434; 886000875; 181759791; 308477128; 1058514557; 612931214; 281990501; 270304189; 307663266; 527008943; 225700381; 162323679; 84092654; 648104191; 1064049876; 256544127; 601631089; 952560054; 629924302; 983879780; 899468656; 963983972; 849014090; 942420873; 1038716861; 540864857; 463039304; 589116648; 459301278; 878199402; 420938080; 559520424; 902988858; 737503858; 118111133; 436601607; 872208912; 1059558281; 678140189; 115892807; 275187840; 468452646; 846163164; 878573605; 968675274; 793835760; 505691060; 789771423; 707134670; 90864964; 497790316; 863326326; 86663711; 61774027; 872575644; 295160548; 354732064; 693451231; 493908542; 537551824; 458665975; 373104308; 24177781; 27873797; 179504373; 570881652; 900675677; 939465036; 697370180; 226205934; 425357991; 698041329; 931284237; 821662555; 897940455; 1043899117; 50139619; 208685921; 815761689; 693071552; 617440014; 321607137; 1032177467; 874643750; 56019495; 672751011; 467052138; 340314609; 417703491; 621406555; 884189762; 139258231; 804307186; 940255660; 675166968; 394077550; 360461546; 971859100; 953879334; 336430281; 254011614; 197567912; 60736257; 695232891; 320717805; 465512760; 1033956628; 93547636; 786612263; 294097651; 349334300; 17539902; 281612119; 798556042; 639249162; 524814264; 934170715; 790592818; 588932710; 46821546; 789126938; 765825802; 1005333206; 616447405; 268065527; 965555747; 1043069177; 440862041; 159649448; 524585562; 883539847; 451200254; 459498450; 555960687; 91617772; 649909342; 739816066; 717758203; 687152511; 241081208; 400487656; 777846405; 107219653; 542106101; 408651680; 432216278; 532494730; 772095522; 422808898; 529667099; 362702013; 864194752; 1063176552; 678199180; 448446753; 232704807; 248171043; 419080435; 261672440; 205632294; 943502568; 797539552; 175274024; 334691831; 148073566; 14858797; 655162758; 3147018; 1020927977; 420820320; 107830782; 71278505; 1024675308; 714723322; 6370915; 491275766; 974077764; 139265741; 520727497; 145695116; 251140181; 322846799; 1042467379; 650562029; 113681737; 84358922; 437092936; 868674823; 824114653; 870719926; 81951666; 668287499; 959614819; 119467260; 699977103; 161085713; 676828839; 844023206; 297190065; 1060260800; 742376463; 472658287; 732531645; 379915484; 242108471; 58341565; 674075842; 846742388; 913982412; 867611284; 923247269; 313869451; 484288987; 162568299; 159779011; 863261288; 270576672; 41230975; 759648942; 909712172; 650501304; 789345667; 582325946; 473087359; 355556358; 772147036; 53540695; 548824488; 1042097777; 476405836; 173242896; 485747006; 478933276; 160710195; 665803008; 405303630; 893518887; 528212446; 655609284; 339898577; 627621587; 899645322; 571310586; 893031060; 795617359; 754380835; 165601403; 76727617; 72955640; 60307482; 27193692; 134158304; 427913828; 57857297; 1016694232; 543231765; 383048655; 415243982; 100641316; 700436142; 174259714; 570107461; 979503530; 310829996; 817124238; 247322978; 91031212; 590416638; 99652475; 860478330; 274005853; 478668920; 453849540; 494418586; 284909866; 180975601; 975892603; 910213242; 675395439; 532101125; 724807329; 371384919; 781992451; 572907661; 15367454; 377616276; 819499691; 356388267; 155910791; 252351878; 556853309; 518022628; 851318103; 538535825; 718560792; 391038424; 651533915; 124503628; 661746158; 18121988; 1068293475; 933850623; 1021963457; 627822438; 241364803; 656238316; 1047541108; 990732145; 71340931; 63977648; 293784333; 966610987; 710207599; 209274572; 767852826; 1011830112; 299732751; 84291983; 1025614914; 101890028; 311254786; 847831932; 643554529; 507686922; 150266029; 818049592; 113822435; 341334234; 680547921; 167114984; 988523815; 103487347; 83317594; 439240966; 336162066; 15539636; 32367951; 891051105; 439067475; 408648433; 644986405; 189244679; 768317603; 496605540; 560423000; 260318182; 526138356; 494066287; 1036575259; 164300493; 111279814; 836461954; 263075120; 754473700; 841052934; 305018675; 65118574; 154832805; 662546951; 157558249; 242296969; 131013693; 908466000; 307709690; 735062035; 931737833; 303670485; 97164632; 482343970; 765735823; 967925976; 693068707; 883104591; 240721777; 401848788; 519034577; 226914824; 532137621; 530188806; 184655195; 81383240; 656564552; 325137049; 850777058; 665030722; 466789100; 119419513; 998969638; 179777737; 259881478; 968036532; 886331870; 28721488; 899789281; 136735448; 254129103; 186616464; 783294630; 519183150; 915158856; 443055530; 500633736; 311750406; 520821613; 271995582; 330390797; 602927931; 999096966; 193471755; 971423043; 14779724; 633385925; 895432252; 484356648; 979023369; 529004774; 665840725; 527128419; 106776257; 882370792; 375809497; 428564931; 285960002; 6423850; 1058133959; 200622231; 247248222; 397313664; 298560392; 148791664; 797860535; 202785242; 1052853959; 293558968; 989618719; 680287691; 1026622676; 189251976; 440351778; 130977384; 93670760; 904409870; 588139953; 772496015; 285076809; 913022399; 39097830; 502271945; 20668631; 1031496731; 633992552; 562986104; 732826787; 144637342; 1029337543; 652821782; 650181391; 449356520; 707748874; 488280943; 701778982; 872069923; 131128726; 927945150; 508613907; 647228281; 701479286; 583904148; 229397814; 563807150; 221688891; 119590869; 934909270; 691215896; 819061597; 165290238; 725714439; 36294618; 776321089; 548471601; 595165900; 946747988; 231625424; 411440534; 941942906; 242881353; 282795027; 61583225; 1031951082; 836377557; 25488466; 662876228; 796863602; 1067310071; 833974494; 611056922; 174161143; 375030966; 178444651; 1038551656; 135989542; 855337130; 1058843777; 124464073; 642307941; 565532420; 187704506; 588645475; 551591821; 430632122; 663528681; 489624105; 393108791; 824084759; 799914360; 63810233; 806045688; 818191243; 370332758; 544761009; 187270591; 549298907; 583147525; 439953167; 1047311445; 654555517; 571199898; 531057943; 645669227; 947431554; 281795559; 205349840; 494185459; 308897223; 715340123; 470205038; 612689306; 523813882; 159666745; 161251516; 802139817; 680456777; 847027277; 484136480; 63790240; 187942722; 853657128; 534878497; 972251873; 51819789; 800453816; 930681647; 24779709; 807456586; 152940711; 337850986; 978906205; 47618730; 883676652; 2184352; 482790138; 703717577; 534870753; 208102434; 507500955; 374014473; 691437788; 176867772; 377754261; 549115782; 958958814; 211534552; 673211531; 479603229; 222187379; 221903071; 725655130; 53172702; 918937071; 721164323; 42914497; 356219825; 1048578299; 566186425; 1042855809; 289170669; 692882757; 588463007; 344633435; 671547748; 947218455; 958879058; 444219338; 745951634; 482844104; 113834301; 404192471; 65721246; 394340990; 589725571; 877722198; 754991139; 46299418; 973133879; 37643906; 27682450; 339965613; 393088447; 743254070; 787923049; 178209586; 114051765; 531702043; 857894289; 151172738; 30684193; 575455172; 1073358619; 928747025; 88793800; 213177518; 583077610; 555261175; 7587942; 482781385; 263518899; 285458858; 637239523; 583280014; 980234592; 731867664; 330685523; 360598579; 241813337; 970080127; 212725529; 853751957; 826639685; 1052011941; 68430317; 922396036; 279949830; 566571058; 268284686; 440117354; 828280213; 797618154; 381301782; 380399035; 571310391; 848092119; 189694400; 209731688; 1026777807; 784720979; 571198784; 1060983574; 866080121; 724240338; 202783145; 714249441; 158198574; 733448582; 767069983; 876189339; 465826504; 892817639; 669274337; 516686203; 578972609; 936630831; 355930789; 959450264; 534497825; 249957349; 702506411; 901947606; 766100550; 587260165; 158809950; 651034489; 477441956; 566266360; 975932273; 478029209; 380056112; 347844669; 931235352; 925287278; 429481621; 616904555; 832639722; 401540809; 564341904; 415413751; 120449074; 689593676; 28627989; 499841569; 506607140; 279422670; 540524616; 283792739; 461474421; 337341388; 431308415; 133357034; 787915960; 914359336; 733141382; 377414311; 670849690; 42762563; 907746807; 566495310; 79530557; 1046338779; 810132989; 140439907; 1063000669; 259889509; 726098882; 184575186; 157114939; 507562717; 837774313; 252811748; 834022431; 597018111; 329517017; 1034333462; 929936293; 1051536736; 240492925; 833231140; 322212851; 238169698; 384460925; 544670978; 530149641; 471775065; 318161211; 409078950; 941534608; 738814636; 347328020; 276561447; 191239261; 803551050; 39954927; 571092401; 760091230; 655009570; 883560267; 99086767; 926362088; 910805941; 117753913; 1023354505; 223257907; 422757702; 610119712; 720773556; 1034901561; 706709019; 142320994; 320865788; 657942768; 585744338; 123263568; 105859775; 866006782; 886391481; 577993329; 37989007; 270387062; 748163166; 104624173; 33596456; 580909525; 741428097; 327692572; 878395115; 951193580; 649595600; 669365649; 860578400; 511828666; 1030218529; 15115162; 319197383; 897186832; 317697609; 977148724; 662136311; 250750739; 53066547; 838916668; 486356564; 816391435; 461904776; 707305186; 1010299328; 102825517; 555353344; 1021652231; 186256316; 32366592; 23567060; 53894378; 601492573; 91212853; 894056100; 436863705; 452580089; 468893326; 1059150501; 75888480; 73348582; 471261808; 241890352; 857856904; 77743056; 1026592806; 570576392; 247301710; 719940218; 356559469; 686753790; 394985058; 715852587; 1022178321; 1026416860; 530186173; 165926497; 1056558170; 381469219; 520502755; 537461490; 234820092; 958196286; 934332008; 695734639; 743839988; 189168427; 270834974; 578434340; 214304880; 151350645; 692203051; 405147717; 939695853; 734075646; 367361500; 554913145; 161242799; 936484403; 126576006; 146684216; 579578427; 1028281582; 955007983; 417953122; 138203071; 431905675; 257145724; 688324568; 686246566; 751982803; 922000583; 30797584; 40288086; 851251069; 515917270; 99575209; 593791723; 531648228; 107174167; 208561066; 525832716; 602330196; 712734875; 336637068; 356295992; 532086133; 17216022; 279114810; 969608613; 608800069; 799168653; 310324473; 846641115; 392602764; 562813212; 446335062; 745840110; 98397269; 462986950; 969557212; 151628131; 491880576; 751790797; 1031091788; 98208984; 993012984; 1032856551; 1004995020; 589028055; 562150665; 493031694; 651344074; 512130763; 224046906; 517756752; 994047861; 1027836921; 245417109; 216473159; 830629221; 1026963616; 715059245; 637637040; 602186047; 905759869; 961504545; 1057950461; 440638010; 549676149; 456817719; 149988514; 744894378; 609590741; 722341893; 919425212; 378956351; 643039328; 309083076; 18500333; 218415049; 41099074; 118906792; 1033474186; 699897621; 940261792; 271859318; 147807638; 604069303; 476306048; 585443639; 781325595; 56610608; 731179813; 129839525; 314187144; 222361328; 317803110; 674700944; 299517400; 639283604; 282785887; 442524181; 622021299; 628942490; 501700429; 881181220; 289566953; 746102483; 86301731; 29881667; 640474513; 728665263; 386845511; 37332776; 400461616; 771622962; 703023428; 784608466; 685999688; 324474373; 965862722; 916976826; 43104346; 60765985; 1066280343; 948847245; 1017184884; 151615401; 524193378; 253854698; 622060940; 533767559; 544216165; 770585877; 669891056; 360728676; 203075645; 12264254; 912646404; 87244775; 58303799; 496867268; 608715665; 282683280; 503980365; 199454540; 482272057; 493916516; 881778013; 1042427100; 447780770; 131698173; 429860299; 974255182; 513243142; 484329746; 531493538; 876708725; 735192479; 712197957; 460461279; 398671830; 637670126; 247950628; 639798564; 794919489; 777962671; 821245355; 671663467; 186284799; 363316326; 719044616; 127520516; 915694523; 547501253; 386770397; 120809349; 930407631; 294169089; 392169711; 964132723; 884921125; 597720553; 887203049; 418533911; 291458272; 975998399; 764809223; 352193826; 1023806782; 758827562; 255408739; 604578761; 54868137; 464674950; 160431883; 639810065; 1014646407; 654743818; 738625995; 373784618; 774925640; 78102301; 943247920; 461408261; 931556975; 605228600; 907641197; 705869216; 387219248; 1010235844; 985762984; 183736193; 5342699; 911853514; 731426679; 150903593; 947137016; 613032288; 487884263; 823163694; 552085987; 618052497; 167468524; 91586144; 738381551; 594649565; 135893121; 562210713; 706237783; 275851950; 40621394; 142207910; 777972708; 751638250; 960871381; 682279057; 142170356; 454049073; 358871599; 329217637; 518797889; 457195944; 397058706; 1054160321; 332376521; 539751185; 597846049; 177095135; 128954043; 355051368; 209634757; 604677137; 222778871; 1008222257; 392554619; 469018739; 33910528; 1008114871; 159362407; 440972754; 907458343; 382821479; 166974544; 546822102; 393873574; 568830131; 495106088; 579845420; 352996213; 521209491; 438032727; 335959035; 105229846; 818386933; 122656405; 774581678; 822185683; 454082966; 301487311; 884870611; 612166213; 869935149; 655464977; 942399443; 717869320; 578380855; 1065153325; 69041588; 571985698; 674895931; 613669081; 65458567; 66364667; 827995082; 1001716294; 632624305; 69175423; 812692603; 446620303; 829250909; 525726752; 576775353; 377825122; 870750235; 564533390; 287358174; 431758584; 194922743; 437350806; 559126809; 23556752; 706783619; 440851627; 29563109; 736313107; 320953892; 807101965; 994366256; 666781421; 908345539; 781438738; 22831718; 822886337; 1052338439; 688604456; 563944697; 732823766; 761914442; 1000081486; 7828715; 145006481; 177942801; 839591362; 295431207; 540882697; 110483211; 167455708; 316050008; 146273254; 537703497; 546630963; 869779691; 412833231; 605924984; 408694532; 436043003; 827777441; 149517274; 668262710; 149992442; 968503161; 273869826; 681049397; 755511096; 76693803; 960951682; 778773967; 612094327; 196180825; 195256267; 393270539; 128399409; 498574599; 681521706; 638173921; 762227139; 201662136; 807817524; 619685896; 226871031; 201200776; 859445815; 992323645; 560709090; 1029685922; 510166348; 661520095; 558811859; 286306310; 843210299; 502671561; 616605764; 206367354; 249242475; 561886119; 4736344; 682349855; 260209225; 47579400; 500350127; 90710360; 19563930; 233227054; 943845096; 805841362; 557824620; 1004282749; 363132122; 592617603; 1034623221; 64086921; 552014315; 310636449; 584999703; 338243538; 637781233; 412156959; 203187112; 44761673; 340311300; 301371518; 878473589; 526784696; 514414166; 530538897; 910363998; 604624553; 804097823; 995106708; 672048739; 877992601; 565866422; 1018214714; 491964381; 133661582; 346425561; 547450088; 453176017; 22580494; 974148104; 1034518560; 781750089; 962164942; 405106933; 715343714; 369610368; 797540948; 710729539; 612686545; 374693537; 490407439; 723043789; 156876790; 374264568; 15423563; 319214806; 972452943; 969047206; 260061423; 22646503; 854007522; 675766118; 493884447; 106783543; 675539923; 921411408; 1058697433; 526783408; 133807035; 81544065; 589208304; 996558781; 1004021226; 320851533; 315572126; 901525603; 664336544; 958974599; 21361039; 13264154; 411036886; 119396798; 171715897; 1045019975; 772320606; 966889968; 1051811869; 611400178; 18426555; 805999047; 707938609; 77593706; 419770257; 855472242; 527748893; 576962510; 576445937; 74024020; 149187587; 319844387; 1008792965; 621459052; 657910024; 531617402; 516816022; 75397117; 294245877; 1052896859; 150182192; 365783757; 765291942; 981194115; 961737670; 154904159; 1012871217; 1015700470; 234487079; 799730908; 270426855; 38873098; 930126440; 547709955; 871914690; 515346617; 187960342; 707320729; 559428439; 657211682; 495595730; 110685757; 190201627; 504364698; 71861235; 285543474; 269442940; 397965051; 808278134; 893747964; 950901794; 158715496; 107201155; 793557844; 227149579; 776618053; 812110792; 93300445; 827353112; 876841212; 500873400; 819096663; 141409539; 1007280753; 900194001; 41455027; 665673845; 449956817; 913661941; 510645278; 590862526; 804605442; 987906703; 682971190; 786580251; 912066904; 741614969; 1013795355; 935295341; 375475940; 918785226; 490553803; 299120840; 518876732; 945583080; 842373304; 978229198; 667213076; 352253746; 316880914; 241185953; 44441622; 9246420; 929576903; 206462911; 627516051; 578079512; 795739860; 798182738; 543151577; 656632429; 14846042; 388667026; 657387309; 804068126; 952022186; 1070608954; 843183745; 133391328; 122857414; 819019671; 710262142; 336157802; 433078044; 387431172; 363130666; 719825179; 773401169; 423828553; 971668138; 1069967333; 500338077; 891972733; 981725827; 647913066; 181747002; 344871185; 1048905707; 881885714; 49612565; 87243065; 622991262; 989553198; 47290623; 95750763; 952851368; 988206469; 914097642; 254109815; 590850191; 345598543; 181442405; 334664564; 223086866; 910894439; 959398263; 1019937269; 613868187; 466539960; 985683013; 988401316; 359729381; 418160279; 185907971; 682038385; 80429806; 43492975; 867104179; 283219694; 1005017394; 210874129; 645342547; 540894964; 350825742; 179042666; 442775518; 986595006; 90862143; 225650112; 102335069; 746001379; 110918737; 897568289; 415085551; 981313272; 169799574; 579396899; 1055580816; 254447266; 1060079868; 1000782328; 773966830; 123410830; 277040080; 43126155; 673834997; 714916787; 229643568; 6495179; 371443172; 360849717; 238087879; 313145244; 387202470; 1025103620; 305575296; 7441604; 520830842; 879529398; 938200561; 684690541; 356993482; 102315316; 362512705; 131287175; 419603966; 378379073; 963391317; 275103435; 44906996; 908025337; 203293376; 396509038; 361273981; 778467394; 501238347; 894360593; 520042923; 119508594; 380347222; 317401968; 553404370; 448553296; 54454176; 794663827; 377299798; 935495541; 199850268; 510602174; 1035833954; 612788011; 830782535; 873477932; 835306556; 8540451; 570689228; 61345275; 1031768804; 1003765652; 68478431; 44294553; 386697508; 248413568; 376426212; 790449135; 839317599; 367696925; 1036598756; 321075489; 418186231; 440743935; 1057409986; 428990598; 644501471; 560664728; 645791544; 839527451; 750566198; 910314579; 982622239; 143032341; 541394843; 759503604; 536513784; 316873554; 54915691; 622959072; 737360880; 150845549; 793803248; 413549000; 176330744; 169253385; 884649721; 80636435; 81564990; 1010658685; 81722933; 733357912; 236263815; 297300920; 217500409; 961101230; 253723040; 517710442; 699793256; 669344655; 601915770; 638531764; 776434756; 736100901; 608547985; 721579675; 732392108; 1000079248; 56055136; 237524026; 202301848; 51495545; 66607746; 180202315; 366471500; 164098416; 21491027; 308302054; 256217011; 540621802; 932102732; 714237821; 79482380; 378355736; 925911209; 312336507; 1013351873; 442316961; 503110676; 726874343; 761153622; 966669056; 285671060; 386052834; 202851039; 421160244; 928705630; 431148360; 784496542; 76408589; 345154602; 563251369; 387992065; 848016635; 390001648; 857751220; 299488192; 906899667; 229438484; 612623801; 370173246; 981993432; 143844979; 760372572; 1072991265; 421214705; 657877202; 95513459; 171180236; 507266062; 251175305; 950817726; 1000208250; 878301486; 854614728; 696745674; 446215111; 465961897; 36994293; 498235859; 1054561440; 92357560; 866658462; 450405518; 28725481; 992755023; 603430260; 586959753; 929822094; 503509217; 246375307; 109722000; 590953277; 137360069; 434009803; 764900303; 628385806; 393705151; 272300970; 954079782; 363332997; 736719316; 740849967; 1024216240; 299316751; 917787123; 882302682; 57403113; 695105813; 424451781; 716381338; 738582907; 65354016; 940227976; 241031255; 26348637; 982947615; 845296156; 172978767; 30254364; 837975474; 440932466; 356713762; 614433849; 332481297; 984091105; 120811413; 263687006; 538493114; 728900984; 848521938; 178538080; 972975000; 425105865; 439596754; 434752845; 732571872; 456380739; 535224540; 545736716; 682169823; 191627086; 413513919; 162594666; 637915910; 408237994; 696114193; 879047584; 730085240; 23503444; 2678992; 12626424; 703304767; 229267708; 564466078; 220894306; 789212725; 675129582; 101671795; 598067409; 836383062; 217189907; 837544020; 18776212; 53800541; 486631519; 796350921; 1025213972; 209097234; 587420235; 759592326; 766903780; 491262916; 300723194; 647117001; 1063954658; 632727214; 882741281; 734281478; 334530841; 888822388; 156171746; 851134614; 664688493; 205297385; 480492667; 885317587; 674332138; 649846786; 604988897; 509878789; 985165421; 341501495; 494025848; 869697031; 655352147; 767429083; 566689492; 174946501; 59143770; 1033831056; 473821737; 248682906; 385105421; 35066402; 395465961; 320965577; 142091718; 504114430; 618698262; 419172927; 950442157; 392366137; 234638925; 1033284912; 373161789; 418236973; 561794848; 579499229; 552716596; 930493250; 118388684; 366875820; 981976539; 849190152; 695508275; 326920149; 579151891; 1046240285; 497027614; 227157481; 905453591; 963342464; 219348592; 800639293; 783210572; 947345805; 464380145; 660217420; 524969134; 829154960; 454243073; 199336226; 944017176; 29780911; 869590781; 345602042; 716121754; 760470681; 45210114; 560189466; 931324569; 851481465; 723512299; 393939390; 433770817; 507825628; 810882756; 659687148; 33321277; 775928397; 1024781129; 925571888; 698655959; 327057463; 623966568; 454746156; 57338628; 769276818; 143338043; 819877427; 390128087; 213254069; 394140730; 800662797; 809512544; 322384708; 849896793; 330703540; 715762921; 168081441; 976397368; 452325646; 267618980; 1061806613; 284139658; 312446012; 429841369; 686625054; 563127202; 822913207; 957827524; 412503138; 496929065; 943462319; 634521075; 944305343; 1015031209; 175491100; 454043820; 421234170; 744291758; 173985139; 389189669; 41771487; 847002474; 811939413; 355643491; 368105591; 881601176; 645704142; 406156076; 454825745; 577591607; 58460739; 795231268; 934069916; 94581333; 874246792; 593861482; 1065930817; 702740022; 873847018; 562604520; 317093885; 669213522; 85337904; 236858846; 968320095; 903324208; 243999451; 292531457; 24095653; 376827092; 659675640; 314417297; 433895720; 779654832; 953305979; 443325747; 236778440; 1046949904; 515829337; 769715861; 230964955; 561220817; 1042638504; 790651459; 654259615; 553389567; 515919983; 994395537; 289528117; 776245069; 25742972; 315038158; 1058984737; 950654498; 571512840; 729250693; 501765550; 15267244; 70127070; 774061224; 44006255; 945360538; 702017828; 830816738; 634974765; 337863565; 1051702019; 980790341; 579696250; 589000404; 10815723; 3729183; 290656020; 281413431; 136534262; 825899974; 535216131; 337182690; 626807041; 70503281; 815588203; 373737224; 979238905; 802480349; 43847910; 304121822; 637881323; 1009751212; 303116519; 683413442; 421680359; 367693271; 663787719; 402884488; 69911132; 951843162; 89589701; 857568049; 862466905; 299877921; 633513075; 1061840957; 944302894; 586911573; 752308261; 430598979; 225914265; 208925395; 629031623; 110134624; 412122845; 231230984; 821764386; 366741190; 772706331; 428276832; 592079519; 918789403; 436745465; 489315294; 286681504; 361356152; 55468443; 724322994; 396121167; 573216773; 356660035; 522377863; 451152527; 537088529; 52807377; 1009887816; 380036104; 110877495; 811986719; 21669736; 941648391; 32920609; 241840803; 133217296; 534382593; 943116930; 551271413; 215248308; 602854465; 467431280; 799214872; 523855150; 806689223; 177826887; 457991895; 975155583; 427158998; 704396923; 974281992; 73155449; 937091236; 959500833; 199877046; 448300926; 420847698; 83869860; 749137999; 26409579; 587492898; 978315679; 976846072; 936367633; 262095845; 395065023; 996906661; 590292574; 348263730; 263858671; 968412712; 251651897; 107036360; 571916794; 486396608; 330556921; 497980298; 507653488; 403732037; 697031822; 298394300; 635024553; 744320222; 430045502; 928907703; 626995385; 560492553; 392854220; 523309258; 612802875; 1050319400; 737987260; 517090708; 1028802852; 651693849; 728351904; 624298447; 313680085; 728984060; 607285502; 444555235; 820148686; 366685740; 711396168; 632080446; 460736716; 840958674; 205392728; 117211415; 647287402; 788651525; 58071745; 148837332; 241720626; 295103460; 1069755559; 323187914; 533164298; 396340711; 1003132144; 1019623235; 150630654; 145047777; 918967565; 388771082; 998548854; 1051944473; 42172231; 733337522; 576577533; 467764052; 205430718; 419526330; 721445315; 132198815; 274780140; 725604181; 1040073081; 268859820; 535587770; 499402566; 747078107; 761828083; 1028116531; 1014838233; 672453031; 30228700; 521268167; 775365010; 807026780; 179574504; 10969490; 816098454; 248747731; 897034824; 138134190; 417337168; 32398132; 359206537; 672193963; 742581562; 732878899; 1048706728; 60115193; 794551881; 296478106; 958387773; 1014452599; 571488343; 398278117; 862205452; 665466805; 216214949; 987450621; 894602079; 736373882; 240253120; 583782022; 144212432; 986011177; 596443155; 835080688; 647127944; 412513817; 456418061; 93682830; 742162961; 705724888; 366327759; 156855873; 856533826; 255080801; 50034996; 347635785; 48744029; 175601658; 588515719; 458716257; 613586291; 789015217; 860901004; 3580364; 680616428; 860367393; 584557834; 963834440; 773920127; 902574304; 395802958; 1042560729; 679250803; 787077052; 306028481; 777737206; 791836961; 1008693359; 663970320; 464614659; 105976957; 508652079; 327683095; 621908016; 314358228; 701177581; 965171623; 988866706; 34776338; 422402699; 372723699; 378983366; 991572350; 547937821; 693965519; 750571851; 653207524; 987250682; 659962826; 741928770; 318448217; 285521552; 631681404; 509638716; 141899447; 815092725; 644144406; 70769191; 566384041; 664997315; 373659665; 60316991; 832515501; 461870852; 719802710; 506969977; 713604535; 5314365; 322716271; 357801852; 725312207; 678315329; 247241110; 969522006; 118680987; 539311832; 558259015; 792933591; 296347374; 55176120; 74008699; 181948901; 361818286; 624529603; 183688676; 164028204; 131208102; 611138466; 275262840; 95687945; 228918617; 896679408; 609838464; 173576250; 343642575; 79636108; 57859911; 515272622; 871216487; 789567745; 194007366; 967246035; 533313209; 735852444; 152936304; 408347924; 5708529; 8256630; 849075182; 395923808; 340196127; 374044338; 396668729; 968950462; 655782316; 392171692; 634849404; 407583203; 107884679; 353285421; 889014843; 495134710; 894323758; 287770679; 52363560; 512838327; 226523952; 41255563; 970881335; 923251209; 56911038; 1047969459; 977594774; 62544231; 804071475; 539969309; 174386340; 1005737293; 282294146; 212166623; 139447117; 1002834452; 673549838; 911094451; 554713355; 42972296; 201980092; 407406051; 404517705; 944907503; 271561427; 911509480; 28240850; 689793703; 747981015; 321396268; 199796297; 921740145; 566960999; 964710751; 161963189; 79322292; 13316246; 91736790; 515530130; 686798689; 204225243; 781185545; 539419378; 784309287; 695480967; 763844451; 662166054; 45588111; 42470572; 859149403; 339759418; 180607124; 758675573; 631503719; 188598574; 711576206; 824869240; 37539951; 124496161; 421769561; 789714693; 475274729; 548915147; 523472273; 320088644; 444533160; 241693543; 519753391; 989151226; 877655011; 82026067; 217078216; 936961786; 742219661; 325993600; 693041538; 781230254; 1006604717; 207222246; 546738289; 281654724; 92356368; 196498438; 781260972; 650268981; 785190849; 289520570; 743098373; 115139807; 519798790; 676156082; 293870808; 772103036; 733364489; 167173700; 274439015; 1071152992; 311279481; 217551202; 661524405; 343214219; 372510521; 246134174; 421550144; 534854427; 965670791; 849262001; 630836091; 45554104; 939354795; 249827773; 323256132; 863233610; 190871276; 913500257; 535660493; 308367830; 669882507; 84189274; 791290072; 863251075; 639595912; 29911350; 798535822; 885611403; 520640636; 632724238; 953503810; 1008227682; 276840268; 1004564773; 960273817; 156913438; 800680016; 387416272; 835614472; 304253522; 859191676; 704406512; 364213640; 382225390; 988834574; 158188107; 705226008; 321247943; 585052163; 11440566; 30828277; 735024150; 573074791; 121511296; 676976921; 356872131; 314895642; 1054698312; 867441884; 1047167930; 221587498; 915360754; 419270549; 829722861; 653769360; 353343452; 1001561735; 750641296; 370343581; 973148291; 1013767082; 364637638; 274475236; 664335919; 45771914; 721154102; 332549576; 481447156; 680801296; 339607879; 43449291; 161180224; 641135029; 1069739904; 701860034; 895304561; 556336114; 931510657; 528113871; 75560247; 102547086; 907133506; 1023599585; 126666427; 727334360; 961421153; 15193710; 830728081; 81119273; 190182019; 864912165; 997203248; 410116777; 788295002; 1047260517; 326832675; 15753255; 450176433; 1030028441; 812261920; 841857376; 927255271; 688121180; 422605099; 66521517; 715267255; 583833071; 379403430; 1034519933; 1049900450; 64744977; 710628415; 720436229; 686187624; 823296348; 983734370; 245940006; 1065650873; 60823872; 1043140421; 1019185803; 228246977; 248234786; 440144929; 1056979272; 172243292; 1010089392; 1030434452; 210007719; 26279109; 94795889; 380892876; 303543017; 660330536; 53017176; 526056899; 616337926; 617506500; 853589998; 464190034; 990698322; 214546567; 63605154; 422671683; 28613147; 288198441; 557429088; 1039827737; 573340828; 911737159; 411359053; 419795362; 941882217; 54402383; 1071048910; 593201010; 1013250771; 294790664; 923030972; 910919472; 290962554; 125223607; 192119408; 732262993; 966874999; 529863145; 399140660; 75639769; 490944646; 603806961; 418424459; 121408708; 872487012; 311115381; 157504643; 576111259; 359734270; 916620652; 908929819; 343082754; 874008171; 683148597; 21129539; 549639306; 959108446; 314971907; 209636874; 1037240640; 868368582; 257485844; 820963539; 613363448; 479858609; 723773868; 718422046; 635007379; 76264783; 743234916; 1033275050; 533990195; 476505990; 791249665; 962362565; 398230663; 534140850; 535997815; 264308220; 8737003; 37374290; 119619568; 995031383; 290208236; 201189024; 41515007; 497028109; 775591673; 531152681; 598073021; 226117528; 866094025; 1038583819; 448876036; 389400827; 917745659; 53526708; 33242093; 592237064; 861384001; 520777388; 594555993; 1000651568; 203681854; 729586794; 647856908; 462306199; 93595449; 922023746; 651422444; 846789555; 217342157; 509550547; 889525760; 643357547; 281423343; 977803049; 263808425; 658314467; 320541756; 353921846; 685043426; 173925655; 197896007; 1017497057; 550293243; 890355844; 767211969; 1026288930; 410327498; 242404685; 974111168; 302978783; 647952107; 955313960; 811393412; 194881752; 335589868; 792389910; 321044807; 862899392; 17706835; 884590577; 353553622; 798560666; 715296166; 635410683; 738814176; 910958955; 458430931; 100321383; 340146960; 282152519; 454020102; 357991584; 6565530; 280855797; 158493894; 593847827; 816448220; 34043019; 882053780; 958594835; 1072323277; 726534072; 50110805; 271962524; 842638785; 114772690; 184497637; 780086045; 127607759; 570346441; 463600416; 270678520; 437423541; 924239373; 989477179; 220898949; 839408630; 407043839; 771054650; 978026604; 527064168; 752982540; 643108911; 977535560; 296918329; 721644674; 958107490; 180573059; 403890725; 1016461757; 727031226; 1033126333; 359269028; 312912112; 566043983; 277345972; 430405132; 807978318; 713553952; 827193220; 377574456; 494121174; 91377439; 839979055; 284777733; 573161655; 1040412933; 818001809; 1063055078; 449006975; 228510666; 428476866; 436222873; 526880274; 22073051; 817776968; 925499227; 734422415; 133121690; 341185006; 869632710; 935846996; 113776622; 936587433; 798907188; 811337183; 995803407; 706430078; 54477646; 545114670; 935355953; 230980752; 786440281; 597469934; 1015115657; 311874829; 69064247; 1028364757; 987794068; 452626993; 972397134; 739474904; 480594166; 527095639; 32333079; 470582772; 684967321; 677975603; 422847966; 681229955; 1006377834; 826759041; 653319027; 188041466; 876965929; 603935007; 453196774; 105180509; 10866107; 97360586; 86104842; 597923821; 191932483; 588634426; 650533372; 319650382; 129807214; 403458170; 513297268; 633671891; 264273776; 302168187; 774820177; 1029363220; 567056275; 164741248; 880054371; 64946052; 2754662; 74810764; 325510509; 296892025; 823005763; 322239623; 273769578; 676867760; 463113742; 526609920; 100052876; 357118716; 828802617; 463157363; 501075330; 679333619; 170923781; 202586803; 684290588; 893482238; 609248380; 52604391; 1057808642; 1066706908; 628352615; 978256442; 308940707; 1010470814; 452667519; 842365719; 137016307; 964525399; 53175847; 459484873; 444377606; 101755394; 378919445; 478438186; 301248054; 899867438; 1055149570; 368273334; 761556526; 433519437; 320659205; 941866892; 171397853; 749069732; 591282290; 912023531; 240065233; 87972137; 539394740; 95445504; 81476382; 882657106; 139896634; 882675741; 695303853; 175877052; 432396454; 669794221; 641451524; 678112721; 923525854; 919516517; 386529062; 125979258; 1016418429; 246474849; 781585353; 920401377; 781421095; 631412581; 793072332; 478169506; 968763345; 231739402; 975371319; 994792075; 127555289; 880962967; 432837526; 1014930738; 2866886; 912183770; 39727383; 450111896; 538882668; 250746446; 971515196; 48622826; 176201380; 22643715; 43823854; 412174103; 650242997; 681884312; 260705884; 323822828; 164874508; 631237863; 994552945; 998359873; 310157052; 891139364; 17884641; 27006768; 455816546; 172319880; 585717807; 891640669; 75511343; 851149792; 440925115; 702865308; 965894901; 724222977; 403395633; 595068852; 378326500; 908507141; 343571979; 288410878; 219416280; 340140672; 822382448; 720712569; 458860196; 848591134; 939292219; 595126738; 844205970; 866312492; 571322635; 257488289; 505353359; 231006238; 83696574; 120067830; 326389694; 894578291; 288602652; 902031024; 205927511; 548008829; 877843487; 73605348; 978459418; 623209756; 539955027; 294912069; 408579772; 871370309; 469987207; 459890490; 612703504; 515169490; 1009956296; 911657310; 67632373; 30973511; 413932555; 101616590; 1065856410; 1027958081; 73257335; 24495956; 460336829; 494185854; 705546800; 577379831; 189715019; 821015703; 949273075; 351260440; 410563886; 192464751; 229925097; 445103454; 245120202; 630945954; 735579896; 663429147; 721254748; 1011985117; 115064246; 104506567; 672114767; 69820939; 937025881; 768771017; 969953090; 765580171; 194006556; 489994857; 488603789; 211150932; 293091385; 214645808; 802004907; 1066601698; 540074504; 970976440; 549031374; 728865849; 923573246; 306555095; 538238878; 628057081; 968966216; 1055859287; 414370409; 108477584; 801272908; 421681025; 998956711; 785723625; 658053540; 543149650; 180573204; 388411078; 685925581; 428635126; 148963623; 189799160; 60827755; 697277917; 265694526; 30488637; 14789220; 201914533; 1058404441; 326183115; 709142795; 70423343; 299270804; 731864739; 286576266; 291916012; 27136541; 1062372001; 954615034; 656112470; 1044965931; 127229992; 605748175; 616717581; 35254780; 315375469; 538302391; 869373249; 433508790; 849307665; 141116668; 948871093; 839097263; 585869102; 633725189; 115724983; 502193295; 357635899; 356989248; 820865775; 590974281; 711917505; 755817325; 578164913; 947947582; 735744521; 1024380868; 677881846; 5754755; 719885541; 682138831; 434149515; 120613064; 503757713; 698890649; 792378018; 615363459; 615486493; 172309260; 713782169; 64655768; 546415181; 493849850; 534821802; 694862801; 702048441; 283739730; 813894534; 572371366; 588370047; 895573191; 866049277; 971073189; 186307729; 437978034; 44853505; 954467858; 159716419; 647167069; 423867652; 595231010; 114171794; 851910108; 92648472; 801958726; 330083400; 139304865; 148412896; 345141247; 792126522; 730782892; 466572019; 432461353; 337162310; 540624043; 503991761; 561692559; 1013319745; 160140515; 113646865; 288825196; 166296182; 559476340; 364037692; 850230070; 848948979; 993200715; 232958126; 859048505; 88760269; 9699312; 112664680; 554315076; 989930319; 1001792486; 467233766; 835693060; 23193370; 1045141702; 13894651; 733960206; 965816556; 950407070; 489998652; 787270127; 454738273; 920843813; 847145407; 29152534; 3136388; 806296296; 309339249; 769517760; 424367452; 263365282; 242770303; 332514510; 163438213; 792414047; 793210013; 638369120; 470342837; 25715596; 344409338; 459794698; 812000414; 438759952; 141875544; 548788024; 875362582; 529215708; 56491353; 816264967; 203044097; 350507328; 356516741; 993677658; 142015009; 634745636; 299220486; 89046594; 366991354; 7601330; 830025798; 316905070; 109758141; 618080743; 432823368; 793163969; 216137748; 23749914; 178060903; 897303493; 156441440; 805133427; 92477720; 963691542; 615767006; 859444390; 90167393; 209079457; 578392321; 1013804567; 663919553; 827408484; 396088192; 874497113; 936793058; 1064790897; 295426878; 978785974; 793672307; 999651574; 528534626; 321372231; 822067288; 461739231; 402385850; 1057114549; 504262845; 829858326; 355175925; 16153294; 729835005; 14458931; 109954069; 735014268; 639107010; 689022942; 446768715; 666356277; 767961726; 310625397; 955715649; 318860491; 145743492; 860911697; 636031148; 766449561; 470400407; 264146201; 490101279; 41410745; 512715789; 616745062; 788540772; 305452614; 90208575; 188941440; 109981704; 273897803; 278009785; 981918641; 274674236; 418206323; 389999251; 818331887; 94054053; 457401827; 436727516; 1073446212; 473440019; 787809152; 797040592; 99845589; 838116899; 621137321; 201520374; 53713404; 602926196; 376099785; 648842402; 507042948; 1009902642; 783741888; 544907654; 25778937; 640577477; 363566079; 346706848; 554825233; 846001301; 908282540; 869785435; 1033835671; 506224168; 542826745; 718009102; 296412175; 907599734; 522554149; 395959824; 335886623; 464097537; 416808698; 465205455; 1071596305; 55883899; 149911530; 805586082; 1070407444; 598645088; 836789353; 493641007; 408058408; 970702479; 482092369; 194640007; 951795491; 1001577887; 276907762; 313423282; 501069550; 650020554; 760738141; 286106629; 265291752; 621932642; 953607190; 208369151; 592566665; 959758548; 776840504; 206947623; 1037069698; 811831074; 561647213; 506729055; 914489679; 496155687; 1011293516; 432324017; 1022129968; 979643427; 473398677; 234612919; 42012754; 941255535; 639765031; 214738590; 251580448; 74070217; 739411241; 917627193; 131870477; 219322835; 263272069; 634401117; 1052539771; 389554546; 32167480; 386355790; 610666436; 176257111; 485077774; 85922901; 347403213; 366226527; 124131448; 186285763; 138530341; 680863273; 218539455; 431777897; 398509443; 470178346; 737358484; 923124375; 828028367; 697005827; 682461052; 551127176; 374180939; 688937519; 244054578; 927466367; 388240480; 836561093; 229066282; 662061009; 705551340; 692489339; 240373595; 775961907; 1017176183; 197305953; 104585250; 651061567; 797374196; 121468389; 35509902; 590378259; 60922912; 614284343; 420202290; 254508413; 78564874; 463511741; 404601063; 550683345; 547206600; 1023009016; 547696237; 580682105; 202242658; 27308081; 73877977; 711826326; 572005087; 1015160061; 964101448; 367148295; 215596615; 807117573; 480412530; 431602205; 788812526; 918369771; 674010372; 368541661; 519510298; 551631761; 672670519; 580828770; 230493482; 462626468; 709998646; 79577823; 134496086; 720883853; 35989358; 741016863; 857303980; 545422817; 443981265; 178397325; 353319690; 700241468; 277709581; 636200315; 806866740; 36372632; 249235530; 566192290; 654359130; 714237260; 1006789127; 902812955; 964963404; 6594688; 646391225; 651308401; 633125685; 312437769; 242739946; 215260758; 518936124; 94624114; 743261377; 62669165; 717305938; 151322075; 33603134; 69857477; 654881541; 860632134; 959874889; 186643240; 721596452; 675059377; 501529785; 339969851; 711431323; 505611685; 131448791; 103264607; 545619523; 946648590; 164953311; 846723271; 877715738; 54985311; 253706228; 514286054; 866594180; 969853585; 135745954; 561175914; 797838377; 34385708; 360502707; 397439657; 715213524; 1039670632; 655417589; 66688693; 786090814; 656560479; 681963004; 1013658518; 82638905; 423797680; 655942721; 871117996; 611765095; 245239910; 645419234; 195204407; 626012954; 492412003; 993823218; 400899583; 634382442; 358542103; 1004344738; 582691166; 99758045; 465434093; 973975368; 97237053; 549845916; 543324257; 824147610; 1000377715; 166759691; 160613651; 1008338325; 539499992; 963284191; 831912739; 98004391; 330417935; 48409827; 651022056; 328932322; 84387297; 432961665; 415074118; 810954521; 941226385; 894639603; 599342492; 68159537; 912519494; 140484409; 284239641; 598090105; 252783370; 909298152; 871607518; 310926641; 560413075; 822002518; 193774581; 597599282; 421414299; 770325129; 1037850578; 1039543555; 884224354; 799718625; 208177856; 312967639; 173947533; 1000856615; 1045605946; 738853985; 848930388; 848359029; 985538944; 722971122; 209743290; 475894274; 27130038; 457799912; 748705271; 86811544; 305395251; 811653396; 75752457; 579979697; 1032255383; 226643077; 429907895; 51933035; 908009817; 338566343; 974474397; 626611938; 324340901; 819853122; 848234367; 106296605; 1044985858; 201149211; 207563493; 765388031; 756544219; 494681903; 1052730816; 539353624; 5631910; 628359131; 247037240; 756136901; 649231598; 893095093; 804740809; 856308244; 1072369967; 573088938; 552075752; 135725129; 609302845; 616325880; 653048602; 367321649; 957422347; 38408233; 390744614; 20946460; 353517273; 880455152; 59994848; 787751169; 824937742; 536680727; 673982301; 132187126; 727445050; 627232573; 37795793; 416977823; 315477717; 510937230; 703126943; 269370393; 167029032; 336739502; 805642147; 279964670; 199217791; 839501391; 74389998; 273902405; 536209397; 112159864; 3591470; 561864986; 908577401; 896355624; 177260937; 156425273; 272682627; 62239361; 1034561935; 317833348; 230224552; 804202528; 984288275; 746992574; 248414758; 442881414; 7859512; 1046590377; 52743940; 287752047; 3521615; 594793340; 472408300; 835669690; 238617113; 567878093; 749585917; 578220781; 551795578; 1027891862; 319680141; 386554225; 895443609; 854758251; 831055855; 198061653; 461125741; 722995736; 35767850; 691184826; 933771126; 748037093; 692913821; 386250288; 277734700; 953007603; 890495763; 959051783; 30504368; 193590969; 47469787; 1067717591; 81088172; 300264059; 971813251; 924998665; 407899051; 638511348; 1014458732; 1073414848; 840498046; 506064180; 206509694; 730336801; 682309134; 771617357; 267657805; 494580427; 567856394; 146936639; 32013329; 94679052; 991481581; 455429805; 624131819; 427081802; 1059403914; 900946264; 1054649081; 396911104; 35429328; 245770237; 390480878; 130576049; 340778920; 955851790; 700640819; 894305361; 774205982; 579568779; 925554474; 371967529; 238396805; 944014909; 808105598; 536332847; 24750646; 1145217; 479550297; 255827466; 524837377; 876828661; 457812828; 1050271911; 537333305; 857295919; 242925515; 578573933; 646292794; 152925282; 1014247277; 116933359; 1008715037; 621664847; 581652792; 798393514; 238314020; 311319533; 30248145; 885520281; 879744663; 753972696; 202484886; 789313732; 835271095; 161460490; 782661992; 370024685; 393210881; 370614266; 24269130; 309918781; 560040104; 364463284; 1054582708; 962164177; 652810067; 509443877; 615616857; 184061794; 986842986; 456887357; 178705887; 298817875; 95494993; 628232746; 279656825; 731893268; 84971585; 366391053; 466161268; 551781519; 109946158; 731426694; 961677189; 631539989; 1048952027; 111754055; 677294347; 167686648; 225522146; 526018250; 432434813; 579175318; 223921891; 298933902; 995458839; 715363297; 504323228; 646936336; 455280418; 218604560; 277070355; 978489059; 994246726; 956874024; 722477530; 136862213; 673532329; 1050160698; 975334135; 210838265; 952532860; 767355625; 896581946; 589821623; 866351280; 618294010; 236889673; 180909025; 544501168; 857506105; 735556853; 72599202; 187471777; 541562358; 1005243898; 108674077; 384312035; 682771363; 306113001; 719307589; 1004057116; 584320884; 911637290; 744233636; 1017331038; 980867455; 234684946; 356322392; 309124538; 307356759; 571643929; 648887908; 493517958; 605535673; 653903779; 845660171; 477385832; 821063937; 123551036; 86463522; 464347946; 1039070747; 515119469; 985635381; 1022989665; 591868616; 184778754; 393849151; 258989174; 203689193; 810895444; 909367725; 236707657; 418690525; 87900073; 737731107; 850779574; 752178525; 823879305; 131279001; 281957900; 345429063; 108833675; 272545549; 712393250; 592769233; 942548790; 625507075; 685925389; 568621719; 665971804; 218860880; 563980742; 43395024; 606182185; 315941993; 359737632; 652638634; 863163939; 889760300; 736521162; 697818821; 259729078; 873807554; 428055063; 476526472; 797258339; 860858445; 266598199; 764428375; 940671713; 630673458; 72887000; 447170318; 1005864437; 589071553; 1053641499; 515587493; 228157765; 557834914; 505180772; 635512859; 59883286; 184195316; 874574477; 487739361; 372923552; 156793773; 656369042; 1001993405; 731153846; 10403387; 892905651; 540025143; 109844029; 252793339; 110957594; 598721298; 991820790; 436240665; 495149605; 574785073; 581220634; 962327634; 381159418; 413124767; 496210436; 161555767; 492801405; 804465189; 122563148; 485315342; 489567864; 695404445; 917603535; 198000591; 977870979; 399849026; 363429397; 797029537; 244651291; 115410236; 230765016; 279090431; 107864737; 222918302; 199983874; 947666521; 635405513; 380538725; 818481706; 236075607; 912549668; 690844680; 891301371; 874947930; 823141501; 198889581; 678997003; 342727842; 1000027550; 546756695; 248865665; 522309433; 429538677; 270039268; 220767121; 111297573; 243346299; 157677258; 1035995741; 482875653; 297991051; 810579543; 203948137; 990544091; 205002043; 992812338; 340542988; 498329586; 1045279335; 427325224; 244396813; 447889320; 386233646; 265012760; 925486185; 631403414; 176597006; 138880613; 502702073; 428941395; 443582566; 318584971; 642330032; 875048486; 80837146; 677163855; 1034987151; 335588198; 350095927; 911934364; 39311136; 783719075; 903952563; 188612714; 953267283; 349915281; 191636036; 900415303; 793026765; 718524257; 694707304; 611775166; 369607284; 943435466; 627634089; 122084140; 683402877; 476166412; 58166874; 724642781; 1011315387; 168238391; 854547060; 55558525; 651695589; 658397494; 738958680; 743778612; 909011813; 353700402; 689557575; 126271874; 2071682; 884151465; 514414909; 806252847; 236864862; 958797733; 751629194; 120403058; 880403267; 517280882; 220844032; 444806954; 283098001; 189584852; 52851566; 467171615; 603038632; 935960273; 415728113; 491542345; 511879030; 429918876; 67355990; 908265232; 979382381; 752969226; 899912311; 209903475; 301395390; 519455803; 899480401; 399324490; 382274633; 833928926; 919401638; 568371743; 437509852; 1044838822; 607016119; 421846304; 383568606; 712039384; 358400298; 1008535781; 1062986901; 91521579; 350112041; 473735393; 525447468; 646171614; 516873096; 1059538851; 771176394; 869983598; 30515487; 788377058; 890929796; 545436009; 857293173; 736249989; 1056296917; 487952575; 155503107; 630581278; 87600912; 4970311; 1041266245; 1053619431; 619381642; 735971257; 995475480; 503337156; 599414307; 712158491; 384344060; 541700527; 983254084; 851837040; 295888645; 357732948; 752011350; 635296335; 1052950423; 32065039; 551151341; 229178513; 498448086; 422405704; 620802782; 842800055; 782323919; 291236213; 794420202; 1019708205; 203785385; 986454988; 598322855; 566112151; 87340964; 714524338; 723221787; 367505202; 626443572; 515784126; 705516369; 654078462; 810294485; 676812848; 870063750; 634351408; 376570324; 564909740; 1056221391; 838199520; 288210786; 106454960; 206695332; 544789615; 492671996; 412041993; 216322280; 878183756; 403337443; 291520181; 696308277; 872964217; 35226359; 621995024; 356890447; 915121547; 80056705; 850733001; 943595040; 977141801; 1047864292; 267260491; 239215328; 824868810; 733127107; 736438286; 169931950; 667295836; 855297356; 656620984; 511438726; 857772430; 905795703; 15290123; 1068819526; 954440088; 2818910; 735314619; 756493399; 1073544961; 964477765; 148673149; 306239371; 1039006895; 920408408; 721961163; 776701147; 809375467; 203564883; 49656400; 95681983; 282629029; 509492349; 935293005; 659044046; 851034297; 945026229; 397656119; 978694257; 548487419; 737714622; 873816118; 435635426; 1031873453; 1008449936; 222098493; 678675933; 326722685; 313341478; 933195881; 582872389; 975979944; 501275876; 771644979; 336409336; 921252105; 616675678; 747323373; 491291550; 655434058; 780920927; 942445277; 297043773; 882178612; 1061956820; 102442689; 830083187; 786277191; 790892339; 150353808; 879152470; 764217224; 453129633; 256403111; 706203652; 111925966; 403069250; 857587938; 162722912; 954288916; 164752807; 761805953; 601786300; 166162944; 584872259; 59378205; 969297892; 449131973; 178363755; 605466353; 211581030; 784169575; 505747629; 159532258; 305937662; 575950229; 915980995; 465751162; 936915432; 1050319081; 846828178; 458421432; 918186579; 774130301; 861298617; 1033126376; 979524259; 1031336547; 839849858; 359698516; 335251020; 1024050696; 3826537; 1070937152; 126383707; 98548869; 873558516; 370473874; 233100169; 527429930; 638882256; 863736489; 785285549; 838286956; 351923360; 403287122; 723497324; 815506146; 253653677; 842758162; 57814175; 995709563; 602057828; 839357540; 565809852; 1055037963; 125405265; 960561588; 267474250; 151611718; 1002514522; 967564036; 234466823; 931830657; 775569058; 270619426; 505566310; 257524239; 719000226; 753905893; 536645551; 291538124; 1001210643; 328770905; 735140575; 410137002; 190505241; 299392201; 903346647; 968781568; 1007539815; 617818487; 469338751; 699950587; 324449923; 38579945; 929748361; 705975477; 838650771; 737122464; 502202206; 501017568; 758768776; 436936186; 933109548; 594251920; 674285581; 993727937; 888701108; 937117844; 28573090; 357070514; 415576257; 614348576; 408881571; 951798666; 948434001; 415309065; 454499747; 498498013; 771023247; 15160397; 739392320; 273730556; 415890286; 546985161; 780096823; 114103768; 864308462; 850501602; 696955666; 201064966; 970378245; 911385978; 883779843; 98517892; 65617790; 795181304; 695411020; 65833119; 591080385; 946959132; 686833311; 827927240; 987833861; 575985297; 255535673; 449806948; 713737865; 601461530; 318886579; 484217859; 29170484; 210511788; 9134239; 527933579; 32943284; 689335707; 469025291; 936333212; 925132586; 578562714; 265120835; 585606219; 940894942; 574951732; 586249826; 175749918; 955501634; 67861920; 214472095; 83528116; 497802043; 166917569; 640079188; 737039344; 649711285; 198581368; 392063653; 525173450; 899300999; 817434708; 457758600; 396715472; 1008973453; 494600287; 833442972; 448366382; 583043503; 154443256; 70035835; 701661041; 843614332; 451554353; 932517210; 156764985; 923780177; 485798601; 177416093; 811415165; 587434693; 406163726; 45368830; 901838161; 707635854; 124259958; 89352194; 390806710; 902858976; 331220462; 495368466; 87972280; 381176663; 302579150; 146181251; 427062081; 123284809; 293898625; 595169968; 70324539; 856864166; 168101891; 734062968; 872100680; 881336787; 680571298; 72765747; 112294571; 14133079; 885586318; 858850411; 846136685; 1008564878; 45939873; 158674313; 72505717; 769717969; 897434533; 890372816; 569092441; 161159536; 510099503; 968174523; 151078215; 520068022; 155086217; 555259043; 367145868; 838074535; 711727216; 740755500; 249709933; 256598259; 696798358; 68835977; 5818364; 305212248; 405922418; 630308119; 1028312846; 646442610; 205267170; 769528690; 278805318; 1013478043; 607616344; 183215799; 617224567; 753976379; 713852812; 534212305; 307209374; 647710292; 1047470912; 983229561; 656731212; 235140061; 465329406; 394639727; 292528271; 295379286; 600607947; 115312270; 1028732307; 946186263; 692700595; 580672622; 1015653171; 434259876; 138425946; 924441020; 990120803; 897700002; 888216905; 99134741; 261710752; 465028480; 1058792766; 387695081; 783907258; 936015363; 378845191; 658984340; 702315205; 94275611; 944468683; 806003965; 707375759; 62480888; 361556078; 961417062; 560120689; 124558434; 610218260; 977224793; 640270406; 72353595; 87083754; 764255740; 1052087679; 947036174; 758803653; 51399104; 754308026; 889098271; 463616642; 821671316; 305971330; 200104984; 881178250; 1006795191; 795748822; 692633444; 398766276; 764367004; 380261363; 313846069; 249835933; 86314542; 123842424; 74575937; 337126773; 835551115; 969668544; 491732941; 519786646; 295884868; 591376137; 770440679; 662297067; 963056697; 524138539; 59149694; 754044761; 426999517; 175326429; 604266331; 264564341; 838290987; 459858720; 90190519; 780080984; 389373020; 211786703; 114943593; 499921776; 708763249; 888059243; 823440652; 190029961; 432634385; 383008013; 253329557; 709619837; 1017474221; 969501048; 932078024; 995692425; 175540100; 148581285; 244380741; 915666762; 716542982; 819432291; 844717046; 237811514; 727774338; 639335160; 571084527; 512459087; 269570513; 262258681; 24052324; 349786023; 26028554; 844236111; 70202693; 396614004; 359953725; 140696882; 219055458; 622038265; 1037419095; 586083220; 773842255; 192042499; 629872375; 305606164; 940411227; 624926881; 796265861; 384277364; 337974456; 662963566; 623565665; 1004332355; 130745309; 633646206; 220598005; 33038775; 454444413; 1004297125; 503722589; 845211513; 660043548; 126436327; 808118190; 102008815; 96549221; 112031628; 370184231; 872775380; 2841920; 355523324; 795056855; 850547074; 584527226; 286351611; 171966751; 931993331; 72438826; 733950953; 702484405; 390737433; 377198418; 724780014; 876297944; 129094255; 134738161; 631406174; 466970825; 650934790; 845916782; 453959150; 848434300; 63586468; 483934579; 889712244; 154922759; 731355531; 991896912; 660719502; 287512860; 327252333; 402068587; 688275234; 380705712; 818115849; 383176484; 774173485; 1021721819; 1054478133; 424394312; 470034176; 477967218; 928002274; 554495404; 712763339; 132055308; 498856075; 909376369; 523448788; 832871714; 582060870; 908022532; 320583737; 1015911648; 708090056; 413229724; 905512098; 689404643; 892506664; 767535541; 263668101; 1011408085; 1035442635; 364365976; 714753299; 50251360; 353175402; 431495537; 831111863; 512713827; 655391701; 1072969790; 820377984; 404841975; 689291607; 219118194; 84829299; 357480768; 793295253; 684540836; 1016650809; 202460374; 440902422; 305748291; 962024564; 282348286; 1000091455; 345887341; 693206931; 699174983; 506058577; 903560051; 669748270; 518210433; 63032206; 813338376; 877168782; 368782549; 110369362; 271383364; 991548355; 417035547; 327523883; 278202138; 64431985; 189269454; 57406167; 254671559; 177057509; 885070575; 406271528; 443873933; 161279930; 756455497; 91415332; 705086443; 967757796; 761126905; 766699371; 600770399; 350151824; 566461863; 509497021; 203981464; 631265304; 171086801; 995783481; 70723184; 624906158; 845736440; 988715897; 550693718; 115420658; 976991002; 98532685; 775272884; 1072455865; 709445083; 816840820; 517370834; 611761748; 247774595; 394904989; 41239992; 425566693; 945538781; 901196443; 232647759; 947864970; 674100888; 787481319; 33273961; 680174501; 671710196; 534357887; 616152243; 333204801; 280285307; 772127995; 556920318; 690515193; 314254773; 694008909; 193566655; 150654053; 231534277; 859466920; 474614268; 747790663; 364056634; 499355113; 837862803; 902338600; 251055934; 519561790; 761684962; 662330412; 183164857; 822640088; 980735211; 841455497; 356451241; 799575310; 575773461; 806789253; 670611705; 1027014845; 529553655; 654627140; 234454249; 110335611; 991686622; 361112053; 569755315; 697461417; 1057790552; 525858546; 560935251; 74377035; 590139300; 19758353; 693931502; 1010404282; 33212535; 925068881; 719076603; 607745871; 683456958; 184454265; 379892467; 666234539; 1041990767; 452205808; 468140727; 535123849; 1033080763; 349620698; 202706306; 1067496892; 1003775940; 145008862; 736708957; 729784074; 538517633; 445371170; 554094879; 820711056; 465998501; 141873025; 294905950; 326089375; 63099490; 405101519; 675292597; 643288397; 509237778; 882736744; 513567965; 360679675; 89186587; 406832125; 209041415; 957373345; 94850720; 155419345; 27775599; 16314894; 908629460; 967123323; 13962577; 463826055; 414383456; 1018151770; 723225653; 639923572; 895597796; 658608448; 30813655; 271373003; 796882125; 750918985; 244084536; 157665728; 586340497; 800214487; 526760609; 606864277; 382211731; 25513862; 400116959; 480607637; 609925497; 383013330; 106671184; 606266936; 286866806; 295647570; 926403769; 250587886; 79485996; 868356052; 731762369; 27352640; 312922072; 400052754; 21722574; 229611317; 309104608; 1013164902; 526083687; 321267546; 574282890; 701577415; 302672969; 451806811; 522883909; 803090541; 858405671; 838336443; 1054967904; 238019734; 313359037; 387218739; 460756258; 134464790; 125571471; 709460013; 361646357; 477998189; 97780762; 550931146; 262577313; 505942037; 253061343; 630601765; 1573896; 148217033; 492415978; 513184564; 640745225; 269169807; 592663998; 799198731; 794966890; 302676879; 36301634; 454801823; 776532748; 508834373; 284335971; 919470134; 464075332; 29627078; 151449173; 95561761; 253603847; 1006421372; 452059461; 927654170; 186854770; 370690537; 614349890; 502870444; 167012761; 7216291; 526722529; 81012906; 39315974; 793727064; 162383735; 761147139; 133320870; 623780995; 882128693; 342144356; 891850223; 923083068; 29960791; 156350809; 757780509; 224279947; 658565853; 937535584; 782298489; 755334315; 438868321; 286335868; 437329434; 23189537; 804861294; 188495716; 999138624; 1034398281; 242738778; 754317791; 1047728438; 347831500; 435469442; 248003825; 62740176; 755779479; 541011117; 720530509; 909087164; 831232850; 859956014; 678549303; 335566970; 334591334; 95082130; 555635290; 1016223228; 1073275421; 200657019; 337499401; 537658813; 876924288; 976927608; 499180332; 332906660; 178882764; 779786077; 24346444; 926884489; 763141916; 457782413; 493407571; 891799697; 707399708; 19047806; 35765649; 560522217; 646167838; 63021985; 746272768; 82725677; 734990429; 249909161; 492830425; 256408971; 298936133; 112321362; 304212177; 248464917; 488884253; 224113011; 80918448; 889371633; 881616616; 1072322045; 348806039; 219568647; 877243688; 655527095; 693864593; 959438983; 788217593; 116080867; 569937463; 530233587; 793634482; 862914596; 1054697177; 604724873; 697761466; 415097304; 1065027546; 373179305; 157147310; 874255167; 360276115; 445959376; 12632454; 285396822; 353086209; 1040593150; 392542937; 758010967; 617745148; 895312618; 33511504; 274907400; 443764993; 62777090; 371619863; 17466951; 703918010; 543463571; 781202893; 472772423; 51456123; 289805432; 461353813; 802411645; 231341776; 79889117; 732502492; 175663115; 735958597; 31642269; 945854523; 163732828; 1038332880; 889573564; 29359361; 976811762; 902673707; 811399241; 450937074; 540163582; 636674434; 792002050; 86493499; 331004289; 512722112; 609502085; 743327051; 257674270; 739233582; 270135725; 52707793; 668129125; 369314466; 615100627; 413765404; 1040018358; 80107836; 673120643; 751780326; 768242877; 88216731; 207716425; 303625611; 928678059; 269875921; 644754985; 1003338698; 1037306015; 358138103; 123190144; 251038365; 173273666; 476688559; 725212104; 971277548; 609351143; 183749471; 897385394; 39700733; 858290666; 203115965; 919289711; 377620944; 278630058; 526491040; 313278762; 686439506; 409435874; 696655383; 790728014; 67173477; 808946344; 117459038; 903664330; 854366685; 925475287; 739596202; 336733775; 297775603; 581462553; 286723531; 409497481; 457893095; 32336395; 895888176; 977749220; 482501615; 717929398; 39621653; 986325579; 443204883; 899538708; 178543983; 344439455; 190910532; 951540268; 343593624; 577230882; 356009604; 382194269; 410200511; 300403656; 277173097; 9571353; 1036854713; 877472112; 842026083; 487353985; 30916034; 169981422; 231045979; 364517847; 435817168; 387834790; 441470158; 210775029; 1059564645; 272038318; 969857131; 645657699; 877312587; 78993294; 86655762; 791882627; 316244521; 665511359; 395929313; 337436151; 479822852; 37055930; 200335141; 283861999; 189330567; 479502018; 263586694; 488495049; 1071061057; 919913546; 353445297; 1012754760; 180663517; 500037412; 596500114; 598223115; 761022688; 22099184; 934186939; 843228665; 3277973; 47337606; 715571369; 1008495958; 169605330; 1009951234; 57954684; 944143478; 907948765; 210875372; 302932047; 347887364; 144501535; 877001254; 1061243892; 631586699; 983045175; 839258624; 835898997; 496017889; 614639047; 420989000; 850570963; 817528280; 757656157; 253114813; 846235470; 669737101; 171107033; 214174184; 674117250; 127974743; 1045365389; 379785909; 743057381; 226531955; 974380740; 634886514; 659683108; 208665413; 217683123; 107881312; 801796675; 1062949894; 464641054; 140080408; 923585732; 344187042; 441145051; 1046368334; 863232768; 11063065; 929417835; 1038559806; 406328676; 974673886; 787946809; 1064066592; 841588590; 742893535; 554715173; 796252522; 307150165; 590259862; 488062499; 154330636; 306960418; 1029414287; 298118818; 287034488; 459571075; 1033215786; 943565156; 563377856; 753295452; 291322882; 127261255; 891346231; 119370134; 823614164; 738861249; 96429313; 101519722; 748555745; 6078994; 13322076; 232164753; 943057705; 624947013; 966240655; 785887884; 78283711; 946010509; 382920589; 108385154; 876230932; 999656670; 949356860; 158179413; 601588417; 920430807; 175408038; 479486804; 470137778; 852531624; 281899442; 773974315; 816761529; 489196148; 821196363; 834488431; 1024488225; 243434852; 791796796; 890329239; 459732240; 369821505; 463005848; 584451075; 338440778; 822664546; 281554678; 963336179; 570182655; 691936; 617444411; 198964887; 13964335; 411885406; 665668815; 40226938; 377039136; 201774298; 71776076; 706586333; 331688706; 23446205; 363778021; 436808163; 298553209; 526431575; 1063771194; 721551772; 330269665; 116676642; 876317390; 243298053; 599091417; 849928738; 1038158560; 238921712; 184680182; 936058925; 645621999; 1034778537; 82352423; 760889778; 90195238; 854209451; 888186089; 7264839; 361057507; 987216810; 175881058; 48132977; 612177159; 551877533; 149745552; 962081639; 865573027; 257931935; 489882606; 149489204; 947683021; 25446859; 206433668; 525013818; 215050134; 41255527; 985255078; 173290114; 926956393; 581642662; 952293964; 102677985; 653571864; 1048569790; 919798528; 1023801454; 325176284; 679196401; 258058197; 126679698; 142352220; 152049936; 566000433; 717120245; 201674866; 530994956; 680987618; 27986685; 849485449; 687073664; 539560005; 8510231; 329794013; 588147442; 730618079; 713893251; 606198620; 475385373; 1053653270; 617503043; 302011743; 146059795; 617758706; 158932685; 172241847; 161004237; 1070207699; 685775575; 628196740; 1018790095; 89711010; 760476456; 164425537; 180874072; 726669847; 444305842; 770079937; 1058049152; 969375281; 929253493; 1056378346; 566828473; 166951485; 9405373; 861646758; 748641811; 834883321; 866494961; 735183243; 773907000; 372123726; 751462910; 552709804; 985445324; 939845935; 106822281; 460911612; 387639084; 253086988; 222857004; 958993197; 1072146299; 485117267; 290939393; 102175257; 572280580; 200110605; 525544028; 977207402; 886133965; 803342211; 747676209; 815309875; 353476996; 780066124; 47660599; 206111076; 683537464; 92395; 185205769; 222731348; 21054391; 546434345; 212361642; 216470454; 556194273; 1004810201; 166004290; 308433356; 318649213; 918659071; 137975091; 472549655; 269536128; 897917685; 193329217; 353762412; 238714099; 813154974; 546880383; 160332616; 669801638; 865331293; 846345602; 512283418; 775560954; 1055346065; 47823908; 498063488; 135240058; 167744303; 787824162; 766093464; 401567594; 54963412; 291603419; 967642690; 1054419489; 506810135; 169323648; 703392690; 172245992; 651706419; 122551614; 948944561; 165597176; 24034135; 480208021; 72489492; 994484918; 240380954; 473992545; 906231865; 686745622; 672327835; 39886684; 694521543; 571893342; 197231492; 1035540842; 81782540; 59926969; 919129962; 342106024; 963525952; 119823428; 506668809; 359001266; 551064048; 702734440; 208229919; 392987316; 580228081; 352094237; 277966246; 225563488; 344494511; 769888981; 372633117; 7534782; 869415923; 525400124; 76107906; 868426407; 465981423; 677984216; 141413622; 418226970; 534771149; 420469826; 637775837; 292204528; 249878826; 610980111; 978447556; 328182290; 53108864; 674759596; 413110657; 31946498; 629711061; 615459942; 693309204; 58387239; 600166838; 75464153; 578831469; 974267651; 165488368; 358149350; 1010296671; 267651263; 784963986; 993044904; 48433520; 88325116; 836104068; 916389435; 364192959; 792153361; 841648922; 777047239; 766144903; 607090564; 366994722; 209978478; 490916932; 1072061615; 235482654; 714321885; 635832694; 843785437; 250543139; 559068608; 431811204; 155439272; 326132384; 584103926; 600432034; 913340500; 839226150; 639280356; 1025340616; 976936803; 330156958; 371793137; 828196237; 135434471; 46461356; 755035674; 473436410; 281501734; 927059148; 909593813; 442275790; 189227519; 302991311; 603339734; 160647654; 207607180; 1014123489; 991137542; 819218729; 781748719; 985561862; 1070575041; 690502685; 1048034144; 570935355; 341212157; 715625459; 274012236; 362438101; 863485143; 615593401; 535597957; 990495836; 694410270; 813773813; 859000762; 1049972763; 583634394; 105262886; 604125559; 699191735; 254114372; 292677630; 566365439; 911867797; 335460341; 828314840; 824748391; 92402627; 961191484; 1049175072; 582795291; 819158472; 830535107; 941358766; 631909253; 648530445; 797874421; 30968669; 234855953; 98263450; 88481223; 452319591; 805493084; 1053194630; 56042822; 333480492; 239615005; 272024081; 406648152; 755191096; 1047683783; 70610814; 380811773; 1046196028; 463385213; 900733634; 698608181; 308698659; 54593833; 720787107; 122390252; 776579142; 604026993; 326604877; 237361176; 858921992; 806627992; 630447105; 27289468; 141431763; 361659958; 12065454; 332982837; 486965673; 289031991; 289264026; 274731892; 786915979; 71325521; 552789575; 479715956; 466513752; 371331296; 538504682; 1050108527; 620329954; 647513213; 1035381084; 24452704; 1022863471; 31359431; 267387470; 259753316; 174683331; 841638591; 766813581; 1073090247; 282950155; 243094850; 910028487; 646092429; 474189461; 170013727; 138327875; 1019995640; 948047605; 643519657; 565591967; 210202224; 719255051; 605517528; 882343473; 275942808; 622638916; 599127077; 306944811; 1058859943; 1016957483; 212415664; 159997843; 29293270; 908635617; 920338120; 68729666; 862345809; 139435665; 647721848; 282695615; 271740584; 288489968; 877719230; 751109090; 1035422490; 720878696; 965664475; 743505414; 58414510; 746079573; 822836972; 79604523; 455139455; 1072909648; 428964402; 936649144; 52136820; 858316883; 378939134; 482267210; 611007973; 854793496; 775464626; 73486110; 894847257; 821875244; 210986943; 317205105; 703941058; 259384218; 161122408; 202006814; 743177510; 489453468; 1054544053; 73330930; 827363879; 376700443; 525039515; 885251286; 244744634; 289628039; 874720681; 163149751; 193882107; 137825699; 13648428; 472731897; 288724608; 257090708; 267156861; 394035702; 910357501; 134191785; 377055928; 36020152; 224892073; 764932316; 772811818; 719677368; 249646611; 168284326; 125872647; 1058503469; 747670659; 293861626; 16700070; 338347020; 1052140057; 414194896; 530150807; 517775905; 158922174; 180909693; 700432676; 212116315; 728010155; 961518931; 521492117; 1022223724; 260093343; 332744249; 193779575; 260215740; 901446979; 793943576; 48668882; 532948089; 450354056; 79907247; 78669992; 858700396; 653613088; 567698139; 165138358; 70697759; 505381462; 270125818; 842587072; 952643835; 572860414; 549702532; 286567623; 84431772; 821219598; 737557644; 16909869; 545146942; 932584360; 33516545; 728401212; 4192428; 27670745; 778707483; 106144621; 82395302; 876370783; 370925417; 669844470; 311641607; 651860322; 919330853; 43514968; 722243908; 357262655; 653911968; 253325979; 468495152; 321272548; 286593662; 401534432; 442503042; 649831773; 573292102; 496376979; 177746287; 666208394; 650072281; 1004743486; 447893554; 196557537; 231188514; 186311201; 791303182; 95244345; 727971622; 143048907; 10604673; 371300441; 888966035; 546316044; 291349087; 353385701; 307285210; 90157099; 550046335; 346282957; 77855692; 617230591; 352540843; 370577959; 649417449; 278517687; 384988896; 34234077; 339395706; 630311536; 105180408; 68326111; 375709055; 841691465; 193885370; 495964951; 589096722; 660579035; 955360241; 779175176; 988721273; 667316134; 586976297; 834549806; 265496569; 990910551; 420801204; 801433100; 370093735; 941762008; 46047399; 1052098068; 1071658785; 649869345; 546349527; 620912430; 139378187; 595867627; 37071089; 527213494; 405502309; 786730740; 720266439; 1040165182; 941447361; 237634831; 343500089; 904110529; 963652706; 964153299; 356832191; 452798383; 204404110; 76449241; 995031222; 52694713; 1064093537; 329092101; 213848582; 555545940; 562629453; 469774368; 893684995; 334951773; 643446683; 1020360014; 1024202256; 104726061; 474279811; 744951020; 644077630; 647019551; 818175590; 845956642; 159731192; 940900699; 1067362489; 100638799; 162794815; 784839142; 270116379; 568694710; 428596026; 90131186; 546022898; 932568896; 958517678; 668248583; 369078088; 1055013521; 552533759; 697569511; 1015054953; 208516472; 684898609; 497556799; 473347846; 509627984; 722283968; 733428345; 136601832; 962640902; 275028479; 688135126; 97200223; 458660109; 254224818; 432329654; 959971936; 169181297; 791689228; 658983812; 711230988; 154816043; 753975873; 940396004; 405381054; 1011260658; 130986599; 40919855; 383325561; 729688530; 66398219; 845567347; 579707346; 791654097; 172827548; 863242572; 517868810; 749311969; 986282278; 453308888; 9929325; 517908781; 1040693083; 947119160; 1006779444; 395157136; 736751712; 353827833; 813292731; 888091687; 1055022935; 531808455; 299803037; 912624930; 309954594; 895685401; 792248558; 418666377; 182460121; 562904838; 993203576; 23171684; 821946096; 972999781; 804175527; 823998048; 115970969; 81253214; 224773333; 979469825; 942583237; 284001011; 1063554368; 565313153; 869462389; 694323401; 907303462; 369834608; 758643314; 409582084; 488964586; 717879017; 581417894; 96162955; 255290074; 433727939; 1068959855; 193282118; 1072966733; 451685960; 43236341; 978503382; 921363835; 726786279; 883307577; 557058806; 24058480; 897290056; 144595460; 189596814; 476908382; 981227092; 596799003; 945207058; 44225794; 782549588; 109386448; 961430576; 87082217; 247020227; 414524438; 305938280; 8175693; 67373783; 609068796; 473728191; 550756387; 469663097; 14803934; 895769416; 3285144; 220108803; 807047048; 275588295; 855819229; 829965885; 299614131; 303678180; 622601832; 430615750; 7806868; 643989309; 723516189; 431768829; 85578360; 455418551; 390130061; 35625716; 909733265; 928717037; 716211497; 717347169; 621473245; 521459623; 718695460; 280999275; 122805887; 1010585305; 62325145; 472388647; 635484259; 873331480; 1056446065; 1014929838; 664263584; 61097479; 429316632; 668394778; 1036488928; 1014075890; 28932372; 858659662; 849066893; 246270075; 373900698; 796934159; 1040263930; 224988202; 145197079; 871802223; 519697082; 570612438; 314078474; 336694878; 124484598; 1008050471; 628852942; 486667949; 1024061337; 289302896; 557758030; 19994229; 524214964; 1038724187; 911458832; 517443451; 357587524; 315721662; 583029275; 102840643; 755467211; 685588787; 272142406; 535787946; 589942908; 594451069; 609214727; 39693699; 1050350615; 100861085; 956416697; 381802795; 123915827; 253759273; 83432297; 970143695; 636397651; 178697161; 122630529; 335259281; 924112626; 867171979; 12847197; 1057664907; 1047298367; 787661921; 613289533; 468764049; 299107601; 81039432; 966281246; 827812059; 168161984; 268579729; 96971571; 862364578; 1061217506; 470805990; 1037181495; 708852615; 741236957; 39794119; 1018481985; 980755510; 872352210; 854325295; 241777664; 16702507; 465992074; 343062675; 848101651; 923284709; 835913149; 704378879; 323955053; 222482475; 286808843; 458610764; 260332860; 592991888; 36088313; 479837990; 307352631; 735948278; 292966580; 52492862; 664013574; 95623713; 901241242; 753326696; 393184378; 291671221; 785202334; 753336801; 667373715; 766355157; 907231614; 653778847; 884662343; 363865746; 922351210; 833081767; 728432927; 586068261; 471737348; 75888873; 687288339; 691221182; 378054941; 281675205; 367552703; 779867148; 765604534; 31073381; 114600754; 383547663; 886964050; 1036730419; 932359516; 799393041; 603467269; 876643139; 86032750; 178725344; 561192269; 675255877; 934933665; 685033043; 129823499; 619994431; 607274354; 370388148; 803966069; 762540190; 262742908; 388111853; 230417672; 640674970; 763196120; 412196926; 841446816; 938566220; 364221352; 770517691; 458845673; 334344432; 701206722; 414139264; 190879004; 888552562; 438202937; 110217684; 189555928; 1057998529; 143770182; 56036905; 534590726; 570403329; 790145168; 462995155; 920507509; 887732319; 778082775; 477673549; 159625961; 183258364; 546215043; 938303118; 116395058; 532253782; 981685705; 112978314; 136495748; 814811009; 128305112; 584995343; 403389801; 439818957; 684854960; 423680297; 434001378; 87665483; 559221990; 430426406; 308284612; 325733785; 582576315; 1044529929; 701070633; 638022344; 658319959; 1020381650; 761988917; 967989767; 714803930; 109926388; 740404895; 397812098; 132657314; 1006800690; 24421368; 132263531; 663657653; 640985219; 934347500; 967835114; 317939087; 566599503; 328832745; 949297660; 443831390; 85493708; 414758458; 639428676; 5147093; 850759335; 388030455; 69154719; 138521088; 491949205; 807922813; 1028795827; 160577316; 970824; 614060454; 741554394; 428089054; 618331260; 295606831; 645689955; 141788776; 787221129; 154833064; 1005785538; 85706414; 759927267; 410491204; 232152936; 164695060; 467706634; 674369216; 1001297001; 576097437; 171251156; 822488079; 611916933; 810714220; 430890968; 714260136; 381913407; 172534884; 689526702; 723642251; 815197645; 884247788; 809379676; 375535253; 165701357; 402170610; 1041282665; 941268593; 780270358; 391990981; 1056232171; 82177748; 97968496; 462532444; 753378510; 522670141; 164193443; 125528070; 327453794; 486889915; 544808269; 56683930; 155727748; 650073147; 540575340; 1029377260; 6901184; 513597688; 1039787112; 72879007; 48440673; 405775194; 627557696; 230453231; 830521282; 699403860; 671921463; 86592317; 136662830; 559351664; 95087463; 236969744; 834777449; 769231664; 20022304; 332070238; 916957284; 518380271; 174562111; 506311463; 253352018; 736803595; 370746818; 572927161; 531812962; 506870466; 976898442; 159672317; 594215459; 892884948; 603150534; 114900255; 1063754722; 103016753; 17967100; 589620800; 20823297; 749648781; 243997595; 330450080; 253213371; 667943798; 811118687; 669416835; 44179519; 792508416; 668932587; 500689175; 338955565; 552076191; 531316840; 44365568; 375457640; 622124307; 132871410; 307381338; 782564587; 50069020; 370633022; 816283089; 30660111; 606284771; 908756280; 415713208; 577985498; 1023135300; 800410781; 158872213; 1005775052; 336609248; 305231592; 197502817; 492269167; 526858309; 268525978; 174439573; 472465078; 663346546; 673754647; 90783984; 298564422; 560111562; 117134024; 356950789; 294095514; 448669424; 543912983; 649674557; 269989922; 466038399; 327401541; 505794315; 329213541; 804408513; 628181397; 134062396; 226473283; 995960831; 720114465; 45611903; 110811335; 691822376; 394063067; 265611907; 489701768; 577659477; 574930277; 741827199; 506826308; 735014055; 494831710; 361475400; 781164380; 791340086; 965977168; 383320055; 728331858; 73159136; 117251820; 277489497; 482620888; 671250012; 761603687; 1056789531; 125903292; 523879071; 285893506; 808090199; 166359640; 584781125; 517178575; 179686984; 529926866; 830609587; 172116996; 1024840650; 1014855492; 665430308; 692147178; 251237783; 83559669; 945582004; 892936528; 134695579; 823740695; 17582107; 923593758; 274315123; 1064206553; 438976185; 409082927; 588998090; 672514799; 250838466; 861206297; 282436515; 46019332; 50001886; 577393628; 970387872; 299507864; 183556461; 610126726; 718525109; 765737633; 380778724; 419810109; 76999783; 354666689; 788470531; 678998765; 599962707; 863531365; 738139520; 174620656; 106737883; 739635063; 598330510; 24782083; 227639586; 568617267; 855267670; 976581744; 360656056; 1037741547; 1061019542; 404052588; 899139455; 1016009192; 818413422; 779927181; 658688057; 277600800; 510597134; 840519146; 8011216; 371648834; 758518402; 1013137620; 64264987; 731841023; 999078268; 510660070; 48562489; 460736737; 711674326; 658163461; 185702853; 925092798; 727272475; 581351057; 781524077; 815146824; 969652067; 864235646; 257187449; 277911246; 985592680; 883658624; 232688752; 132691041; 668303245; 629967908; 557778233; 504170359; 51759323; 584859879; 894044834; 915527576; 890391153; 463776983; 866549813; 534191316; 364480661; 883991333; 189990585; 71019040; 143715818; 621174464; 531498132; 74178784; 15732545; 711801267; 739822143; 73742197; 796089729; 546806478; 303568995; 897884815; 504561378; 729770470; 548811228; 21772193; 831187123; 554030613; 958739232; 182681; 465364986; 988089302; 629268925; 557310486; 992526373; 227676281; 838852875; 880197648; 11240001; 358487938; 1041181992; 39662403; 1035640575; 477076035; 56129906; 202685681; 790960497; 1066164105; 519881931; 905774687; 641715959; 423034248; 900530604; 820317128; 582143088; 894221902; 222252552; 708977190; 726340197; 580806450; 1033830118; 385102379; 175850260; 46217817; 627775967; 616405907; 391400390; 720695105; 848276076; 178191851; 47215662; 949590981; 60212152; 207915948; 486426865; 903790383; 442135541; 1060981962; 757811036; 109291325; 666618478; 217325991; 229522665; 514223877; 663325354; 553151340; 888098481; 562111163; 50859919; 846828466; 590743298; 798540570; 235858361; 200450437; 140283896; 175037844; 954292954; 760669335; 298287569; 50220433; 779087492; 452442628; 100947814; 93829736; 717311158; 734550412; 770323960; 730156872; 742054985; 839290595; 184315943; 269773175; 436981840; 185361854; 477018998; 707338803; 982443985; 793442298; 1007675739; 36183102; 629235350; 581697189; 948274012; 424026408; 248891927; 74817549; 1070020889; 977347579; 406538912; 44548067; 553417993; 154740582; 999314844; 805013487; 52042473; 667447353; 992567512; 570841203; 923228040; 1020268346; 121963059; 413313818; 796945470; 1006995532; 179118025; 605346988; 734206686; 619986928; 1068768029; 818559007; 49966048; 153833127; 241934407; 366186402; 500981855; 231826354; 716450246; 1037828742; 447582062; 615790018; 757123287; 412854011; 227150474; 210313207; 153776362; 783081799; 244703347; 1049993271; 422570595; 516824201; 113949653; 572468394; 254842958; 175057764; 322705279; 895815047; 951059967; 308633669; 171226119; 294224101; 90217549; 764296020; 303712256; 484660264; 228982252; 829646116; 552390586; 269894595; 565388306; 637806493; 313948248; 783690455; 81996007; 64779758; 614254215; 338906447; 38329711; 227168086; 765584384; 619058741; 506818893; 763018968; 867919059; 990341278; 31534668; 262505122; 81250723; 343948566; 605479580; 657489013; 762092659; 422311786; 340586014; 464090205; 1020516193; 514959762; 186770216; 495687146; 365961800; 118131104; 301508584; 438232812; 811898166; 160042549; 970780117; 207240090; 173885140; 227435234; 874223782; 953883899; 1025659050; 702920668; 226991153; 260696873; 721334679; 147124827; 677513252; 453697714; 1014326560; 914583126; 539748460; 871203928; 913777986; 1023722773; 566616683; 165094485; 645664647; 855886692; 824586972; 806996680; 879255243; 861871895; 893681446; 984316858; 1030243723; 282660666; 648303238; 799846564; 215207143; 892456641; 160379118; 120101006; 733641797; 36011984; 219899532; 496144222; 688773828; 36154149; 296226983; 328563286; 909562956; 369953858; 353457385; 581380635; 223195004; 661789555; 417735572; 151427777; 272221885; 991900179; 769565042; 497984491; 181460748; 624460269; 421170763; 406446611; 505114364; 340339922; 451968821; 806145666; 993421547; 470703254; 857293571; 374318356; 126868426; 575675517; 56294278; 427784585; 36276775; 2062183; 237427226; 529041296; 971625229; 586341085; 995957036; 177263456; 398021815; 128473324; 1028960152; 168800505; 838261084; 802072032; 766774875; 732235895; 598638841; 609547385; 1022362757; 660485405; 444713956; 766966690; 132794394; 23770175; 957123637; 832202551; 266352939; 1056145388; 118041900; 721553209; 1012676841; 790018061; 581073288; 328016244; 517161099; 909593798; 399466686; 6456476; 726040605; 779236333; 616508413; 726109186; 778922113; 91266599; 1003705084; 305530416; 786344870; 351464706; 567566183; 421103890; 379670653; 460090713; 588683356; 113697571; 588686567; 929995278; 965287311; 711116191; 701929078; 355517656; 994306080; 148222410; 1051874714; 898147608; 481692534; 843907679; 680628994; 401867306; 122179967; 869994129; 1055200638; 687999618; 110365901; 762165073; 209190860; 815244440; 195111655; 523525421; 249383030; 568208945; 689308188; 415775924; 779358987; 332281390; 652498316; 902540663; 227687533; 344095793; 99330956; 755101688; 107285656; 136828348; 413449641; 475210526; 22590760; 793862038; 352596332; 555766503; 801580771; 144701139; 483072119; 531385087; 809280358; 1008171115; 430706114; 600050203; 1046600484; 317872957; 909093304; 732403922; 279042579; 414258734; 816282035; 399724203; 834815985; 893142176; 907644399; 389209728; 600150514; 795902977; 753732062; 808542152; 667739406; 660196960; 341019660; 927685252; 823438190; 767171996; 61162150; 446384233; 478845385; 704914436; 746155181; 5600856; 141773097; 907384526; 307658715; 161372007; 206564811; 322429317; 720791529; 126188880; 841623159; 499121972; 467404005; 327416449; 956241009; 934331029; 681694557; 341018967; 546185948; 979793775; 209050548; 313174358; 575614322; 782614656; 504390932; 666263567; 316662264; 230769177; 776572830; 697682875; 818367872; 558977045; 314913351; 732857475; 212191561; 77897581; 111568457; 994646833; 585829575; 706519425; 1017924608; 981430251; 973365604; 477242265; 734410849; 39744387; 564793335; 743231601; 1039752982; 913933732; 457460971; 229747174; 274867269; 897841005; 71569921; 924021624; 702518148; 456552557; 145735489; 1070127929; 821378471; 1004436194; 635895778; 748200700; 919180041; 851655851; 569040376; 743193952; 1035646688; 270725779; 628341540; 194886472; 477290706; 584442972; 244823407; 948981735; 152665857; 553158218; 523802463; 465472980; 1023352058; 614587496; 26626493; 97990220; 188331139; 1054223718; 1015533353; 964856144; 211785727; 501481512; 567651899; 486874576; 677084729; 634252057; 932438513; 86490194; 653881188; 295572606; 109332468; 594924761; 522392703; 113087163; 255251864; 722195678; 879717895; 71301453; 137289718; 62377518; 664060934; 154670419; 710406305; 959723399; 1004664292; 67421302; 917712648; 319716561; 382443228; 796940273; 183742068; 58711661; 279621937; 273560802; 165945682; 783963304; 852869478; 287808896; 693275313; 120306360; 611431500; 675680410; 932585314; 573653822; 578084490; 627923881; 716455281; 808494787; 873135596; 362756360; 503718590; 18257541; 451982051; 804072630; 518509321; 265265251; 350475678; 247523347; 976433767; 307806943; 184573639; 758816336; 291326860; 972526762; 311037429; 786898984; 221480402; 827523994; 360573925; 523713692; 394169555; 230582394; 174154228; 656238709; 797888257; 784253999; 218877422; 781550252; 591709827; 852093143; 182119965; 572986817; 816630870; 47340748; 604175919; 1055680155; 276108854; 301482356; 265704928; 1042614065; 924335214; 920505343; 181721815; 704019030; 997977082; 625145509; 550113102; 465616082; 19775639; 85146351; 1052457901; 660395885; 651696407; 1062206454; 452486118; 127092716; 1055934239; 266976762; 289709082; 275291981; 416221062; 767816457; 787943331; 767840280; 1010384503; 866369158; 641044746; 13469831; 207947579; 210471306; 491043596; 647150997; 906050086; 53013902; 943769536; 774720986; 1014004532; 109355845; 932699259; 685453019; 299625454; 591050182; 439272708; 520701447; 436736774; 452768481; 515446998; 583690617; 829594749; 921462943; 868200699; 678385864; 580950286; 690541338; 208642443; 1052280148; 507948255; 215893725; 916585746; 493085761; 1072272688; 436046267; 814398337; 46231394; 841072878; 308329754; 178296425; 269065186; 295625168; 171591316; 812254931; 831735029; 70156639; 923343805; 935133774; 91509379; 1073721935; 1048182629; 545125670; 837864822; 91408614; 719022022; 149871417; 955921908; 591779908; 287619168; 312532686; 1015169111; 205821396; 247217381; 582555124; 584130239; 847638056; 592681135; 190125939; 65134882; 461233356; 684056965; 819294297; 70935539; 39308321; 533973048; 834076819; 785472536; 733407376; 488827040; 14315354; 477559883; 24158514; 580015488; 1067498232; 559252198; 139147588; 229882320; 110234102; 468393600; 824526158; 1055700920; 818836372; 917113156; 254397710; 740201881; 21366985; 374086810; 710714636; 136347802; 541457746; 258314889; 439090325; 697412966; 571527060; 699744100; 165556030; 604787512; 80164307; 472382628; 102985593; 694809495; 202419881; 368651757; 90338184; 798304119; 709716129; 327495153; 710482798; 387076901; 510877444; 118601325; 866526572; 352342275; 332296234; 981995254; 10944600; 198730094; 474702358; 833510335; 593771904; 712353150; 573876522; 137443848; 224329285; 614615911; 809124737; 344447157; 412608268; 76429926; 478470229; 968099206; 741306874; 739615997; 516494001; 68720277; 199348698; 980108233; 534288436; 48678643; 675306112; 16507797; 858608336; 364617422; 1031742792; 844121837; 530469415; 648784718; 43383136; 450592994; 425613770; 176860063; 68566284; 140701989; 1012795907; 637346508; 921429687; 486276474; 6610931; 621711236; 536492565; 97089092; 378165533; 385339376; 811321451; 348807237; 404880310; 316876867; 1006473488; 5678293; 55794588; 55045042; 240565258; 618420773; 419590643; 797533100; 707351095; 45500143; 516603544; 12522305; 521590245; 166222056; 900864069; 103857981; 16395228; 207554597; 360912779; 874676046; 945487627; 830710426; 847330041; 541750381; 390865405; 522166472; 512962790; 710314425; 872376832; 361193032; 1043551439; 702191590; 303644615; 486809836; 944396343; 370821998; 191713370; 945308374; 749309098; 27955131; 847364497; 710695535; 821618604; 424953842; 336205568; 710098641; 1044338564; 535960318; 518051525; 770445778; 470373844; 375972871; 150218323; 445422322; 80366641; 174231558; 300019065; 77186565; 381414843; 739331088; 24557150; 748277357; 1010390681; 565104527; 184641082; 666380934; 583414499; 787093910; 949730630; 399798299; 217559695; 169111417; 451673622; 971213458; 632696713; 870806006; 426380283; 340621659; 166217593; 543302566; 836011774; 554503818; 1031938004; 14843303; 554551751; 880656090; 564118819; 911791873; 80147497; 1013376102; 893008994; 655281342; 496631055; 889209762; 701459642; 22944134; 786090005; 321576905; 1028041168; 673037131; 850327893; 919868926; 932829650; 693127294; 798556825; 633496437; 803178964; 221514958; 167781286; 403914676; 993081553; 421294721; 521022522; 131802600; 259116153; 474086567; 463045199; 938118815; 666321744; 888440957; 536696159; 760936222; 750716369; 454671655; 793575589; 535113135; 691616447; 885201262; 1044903118; 396169599; 586497273; 28643620; 719366751; 631235478; 903538395; 1058161537; 732512657; 1015657503; 266977039; 169590402; 682384287; 953390773; 653186962; 565455085; 954566090; 791794063; 322775254; 730054858; 214525827; 834825558; 102134709; 301391785; 909337470; 427925864; 894873881; 85517177; 870474886; 554630085; 760301384; 50928739; 631809643; 115459877; 38414751; 794767896; 164632608; 393149845; 600109001; 189469042; 850465829; 918161892; 319099422; 900185110; 541266643; 777540016; 610725000; 427018663; 237009608; 918043862; 994512094; 10857508; 875342681; 669526837; 55156563; 90125189; 799546614; 848927630; 701524815; 572721337; 986551400; 420006750; 600522486; 496060081; 202588626; 681371380; 20401136; 1062868707; 72412986; 831644741; 833100780; 677298106; 319735620; 1056787411; 674284228; 215064333; 891567487; 558909522; 424438448; 882480619; 1042110741; 905737792; 1023075381; 216928861; 1019423758; 467555436; 835876010; 924740906; 390774906; 959773056; 935542355; 636083529; 719147485; 475629813; 1031908225; 657566112; 369201261; 724933469; 1038823044; 952061200; 528574275; 609548478; 760716166; 73744455; 23443110; 79989790; 413685547; 680122755; 1057784056; 761884708; 894074244; 63925607; 1045976152; 850645577; 733364006; 727327169; 249366871; 946294020; 791640425; 990205450; 713481221; 141230414; 827585685; 511392363; 568772932; 34117220; 973899234; 342742784; 770502998; 991084797; 234730795; 613638159; 358285831; 617020713; 294168452; 376841133; 322354448; 691916593; 1044781699; 748849567; 963286950; 348813000; 890339512; 630533757; 481230506; 743723632; 265079896; 289583558; 971588720; 220710090; 603443982; 208843650; 787513531; 645482173; 83086549; 255743200; 57693854; 985988490; 575374814; 325184322; 456776495; 957875882; 920430749; 568990269; 999416869; 938900976; 1019987939; 332181620; 786317215; 609985150; 240590503; 827129799; 643418626; 618622529; 435894086; 278416234; 534588570; 204116193; 853998401; 869494998; 782575855; 343457328; 1050113481; 385527076; 500128016; 500393052; 1029711667; 494466013; 393909865; 972579561; 1051488702; 880607985; 1057776457; 262256109; 898582866; 799460385; 19828228; 311569551; 201615943; 951455533; 433377023; 295720217; 486412970; 947558455; 11864460; 1012709821; 718411586; 1034934494; 13080514; 384887293; 376742180; 647348032; 469711518; 465450460; 230767181; 673474146; 972938745; 789170919; 727777683; 1021738674; 718450804; 861112561; 102511078; 730078288; 583692105; 1053640376; 1037248004; 179130466; 539757077; 193424915; 96580794; 813531958; 737614446; 649335281; 138149978; 328004637; 660269126; 370200970; 216152586; 641883238; 192278624; 298535516; 839371161; 565346954; 95805527; 371054038; 659412040; 412141100; 438698701; 971974572; 147469835; 57995718; 74194902; 195694672; 226285448; 343242986; 413927381; 945768651; 576145043; 687373578; 367229227; 661891674; 357533488; 716973867; 262039778; 408296560; 584210506; 100354322; 220459205; 445751281; 147074115; 757044449; 83208620; 391807349; 376897273; 823962198; 602205135; 401996852; 636949318; 538095004; 651063653; 961082732; 308913756; 221332337; 542174237; 36083209; 1018862574; 549850536; 265504563; 57672761; 284852324; 1038428842; 812422198; 996843341; 915883556; 175170957; 57332473; 810212610; 613382242; 361354239; 671860005; 509598540; 1073533089; 22610944; 725984085; 631435997; 287604277; 934961655; 346668039; 828866250; 930618330; 37079680; 16801972; 348490878; 643373665; 459593543; 9907166; 94611680; 1029464298; 301416069; 558041228; 992159756; 1064981088; 941888615; 290332823; 421709603; 373915866; 941063775; 623341396; 357646910; 510215689; 242188721; 894576919; 598768363; 794666574; 72437924; 421598563; 454124498; 626339207; 719007329; 176298838; 584113940; 651073143; 322920948; 611501927; 774966297; 23679339; 254013555; 605630671; 759897976; 670139899; 598055511; 324453378; 384927727; 215621336; 93786933; 148301406; 110244221; 58975818; 257470933; 195946750; 55772405; 240459312; 764824313; 675964805; 1069011647; 933940028; 789794353; 54996097; 8972949; 884237824; 743132473; 142925432; 917644819; 558463292; 227784970; 429352102; 157170191; 855136825; 386502894; 408479018; 756691107; 126321234; 880748128; 59051808; 948764308; 464942949; 801476675; 608564855; 129081159; 553494390; 460069320; 266832867; 1013435990; 417626728; 971593910; 25499530; 489550202; 893322734; 458269567; 804075866; 770511183; 250972008; 1016979852; 423251192; 871614381; 440995905; 610506033; 208120599; 537340349; 644415120; 14167684; 275267728; 97642641; 667199073; 719067019; 98042868; 53133948; 457443023; 773552379; 838800749; 644918966; 709346229; 679516106; 147250038; 783890407; 666197731; 539397047; 3257108; 837158452; 1016880186; 294496223; 1018095047; 429072480; 505418475; 81493734; 922043593; 601429940; 139604285; 709671415; 510581644; 122833050; 599459667; 623454831; 166762821; 60975577; 156114361; 342279005; 361595846; 82673796; 155130160; 431618419; 230210270; 947464685; 765176425; 239832391; 480980342; 139630099; 660537353; 841201201; 667022224; 538335300; 112365755; 802215715; 321973891; 96715910; 896837217; 924083580; 661026913; 182083941; 918569071; 577641681; 800523947; 528033105; 288778064; 707674331; 303342555; 770585483; 155431316; 325015622; 1053430359; 1007158369; 367194804; 3699791; 132809725; 419179703; 976270641; 638678578; 569068987; 187454074; 188521063; 972925957; 784371670; 509154656; 626267276; 55664974; 209055867; 245977515; 367477682; 276168050; 658000275; 856021485; 834249126; 938268059; 692391611; 539481131; 607309676; 551791042; 131053291; 849101767; 250596972; 125738721; 354798070; 844434353; 544438199; 288737071; 109139800; 327245042; 782390646; 938003646; 916739433; 272420450; 398968986; 332131355; 482025393; 64396413; 265027139; 245740026; 751333179; 734299147; 217942378; 1068617679; 710285192; 828639117; 964395920; 271298067; 816340629; 465665793; 759444027; 137195179; 363659321; 841003; 62523088; 228336950; 770086933; 720447443; 831163329; 1028882974; 926552652; 474029079; 450524948; 979173639; 864630674; 422917339; 510747533; 771540378; 920414197; 451783637; 1049691770; 1041612753; 740057497; 545119840; 950650384; 816708539; 969618942; 619160209; 153631571; 902313077; 783687081; 391789689; 421348807; 316539332; 1021056528; 565977549; 743929921; 409656623; 337652503; 536091279; 428013908; 1053851911; 1006268081; 132620654; 793907551; 246695995; 196747654; 713202258; 214760319; 487259207; 806054547; 855597099; 284389667; 409083351; 95526883; 414246809; 950834973; 956472191; 618853151; 263144404; 802959367; 364454536; 231398476; 513895889; 97318045; 210802555; 142647036; 756487918; 489913290; 900876339; 723856930; 824549745; 939856753; 23872560; 74003122; 564383633; 305695844; 540746561; 991699976; 897843688; 837135936; 86107225; 407158535; 875473812; 755527796; 301272490; 1048713929; 125259061; 824968436; 728996773; 1050881937; 650246029; 600880541; 70874854; 554264296; 108343258; 511933493; 698379770; 327086070; 246613410; 160663564; 301847737; 609867135; 219427915; 377111347; 1061659003; 44108251; 104995186; 990624266; 845838793; 614392391; 24913195; 418368946; 129004650; 576989452; 346760483; 937031343; 235284053; 1029476530; 541261992; 639786239; 473077381; 669289846; 907767648; 384416556; 893570113; 1036987118; 666120622; 379007670; 366892670; 121941431; 766319687; 993936488; 497881942; 792118474; 600470839; 1035280185; 492061744; 161264119; 291689957; 539579913; 852084172; 12323520; 1676996; 763651530; 687058364; 22548251; 28284571; 907472296; 761156550; 23108701; 10145758; 463958064; 345693268; 555458550; 880690294; 550581001; 246253283; 331814522; 768634858; 449280182; 502885704; 441241767; 559400928; 867058723; 428503747; 196251894; 163012544; 707985290; 183982313; 540248080; 828043190; 336934201; 209051624; 577363881; 106720896; 424768266; 112267936; 374026568; 625439026; 989049516; 238339757; 778321086; 490189516; 637095648; 999761244; 541379767; 604686282; 351050251; 231055415; 818024676; 306405096; 317687429; 211205382; 286538428; 822605548; 629467260; 361537895; 650374419; 112228012; 545957353; 367628874; 365025256; 287665372; 682780850; 674876436; 555394589; 537978553; 572970972; 855043997; 1890121; 94013938; 549890975; 412344515; 396187651; 1024713347; 463342229; 293864807; 165381594; 1017557927; 478091749; 648323562; 950536471; 53033090; 840500286; 931435273; 1021222664; 637681871; 687730528; 73886080; 300872022; 360755908; 154226672; 662747883; 947066424; 245641833; 448282737; 321638530; 276316340; 176057543; 285185075; 869004610; 72731321; 348177233; 692328781; 659308138; 1019353182; 136288181; 944346386; 575492502; 1051770929; 890156826; 412497064; 117833686; 564649993; 999964941; 957418646; 412001392; 178638185; 976448357; 1013986525; 916130328; 419311954; 302384402; 1014943208; 275168702; 57135732; 904968855; 99580012; 250978052; 909975990; 201992019; 93008081; 127504216; 191286675; 312802796; 426210851; 623501843; 312999152; 588938646; 627850490; 674411704; 746953750; 903760608; 251935325; 763938276; 121371404; 523167576; 292528221; 1068398390; 819063041; 325895415; 118764053; 11939871; 96624169; 329071542; 452482885; 712155410; 799085910; 626396325; 729984435; 877042671; 796965323; 742897923; 314753825; 370147049; 172524707; 221938766; 922552400; 90998405; 32211565; 890301786; 525898024; 172611858; 425921988; 6051249; 667837431; 219759683; 427520291; 474658582; 200214211; 548989925; 648919960; 711161327; 277314748; 965328894; 823152059; 477133605; 239293335; 605785159; 162318053; 217276009; 9906333; 872252369; 289880414; 1046490814; 440597557; 8333082; 1014252154; 523941406; 63444504; 361435475; 514390137; 77243921; 178051891; 583220203; 383770493; 1014388365; 865495412; 965963457; 126029604; 854084411; 859831697; 306885415; 114292081; 213942698; 85228211; 1062953176; 755188197; 947887416; 962961533; 761498129; 750444271; 540372449; 340335398; 273027858; 179224888; 2915410; 374001768; 86330829; 412506728; 643056156; 175635020; 1017485254; 916518301; 967121878; 338550825; 71857429; 426847260; 993360053; 122804332; 253458302; 95359399; 497090739; 830117762; 980668698; 398878589; 606915209; 797151387; 735657070; 859512709; 783223650; 893640586; 608140143; 988875614; 880289110; 662882044; 14758556; 297495258; 162658526; 332204926; 234336819; 432328615; 421464977; 121347493; 123452969; 166819378; 1033852340; 844544641; 54729261; 454761725; 580491725; 395659727; 5487549; 315189908; 624756898; 222856787; 171786609; 147031420; 494549765; 80808262; 257392338; 414997456; 197866079; 234500689; 483158084; 226294669; 672850875; 484809595; 514378662; 422490406; 911741255; 265491796; 124832538; 245825330; 188944319; 1055401780; 603114990; 1040160752; 444357057; 657015343; 981989449; 618366253; 375541803; 513744436; 499531965; 289796609; 418720011; 339290413; 1030822524; 254065549; 653191527; 223783521; 728304022; 883907663; 44186452; 435228636; 254944635; 327989975; 340673678; 905561151; 1039626630; 518729627; 480282426; 675723106; 284893982; 733123858; 670177558; 958651985; 288666777; 618285826; 221317622; 562369501; 279802896; 1054384901; 330908743; 746042968; 242927720; 296929775; 375095133; 730953017; 178857291; 24400060; 789050890; 591510169; 939535292; 611508530; 684333434; 802365955; 322936636; 5269081; 473113794; 602736296; 229144472; 406020962; 825881292; 868416176; 1006384259; 273625419; 442019119; 648840615; 389818767; 948148858; 654326783; 879409772; 773052483; 725943495; 777756883; 912495580; 185468518; 177079274; 461576375; 663199867; 531525130; 900922179; 292276419; 476392852; 347516461; 491004531; 98794460; 622792883; 393868611; 266437289; 73771544; 468060655; 67713771; 1037957027; 260906591; 990072888; 144453077; 827506801; 823195630; 1021847156; 1016105070; 1049091604; 1041500757; 994385281; 929325486; 142162184; 672926792; 831742225; 488657997; 606381666; 861754907; 131633157; 1039766135; 965840716; 179118992; 607462274; 225164582; 711820721; 673373730; 814036372; 732571883; 244111165; 329465942; 132051428; 715261613; 602240864; 453631419; 746344167; 362051014; 695135996; 115875296; 29432762; 30222725; 285992976; 679612720; 554373759; 834890598; 169533993; 215790044; 1063148007; 264606285; 1024365862; 949043056; 122601761; 824334849; 1042059623; 963034276; 431556245; 611130053; 79515766; 246033998; 856630674; 783988307; 529437578; 623916389; 1065669415; 907203064; 738422371; 272694785; 596963310; 924662349; 375913547; 144171501; 721324378; 709772640; 187357067; 382491909; 686152054; 485183384; 570715344; 39277384; 780315674; 985047909; 1039549987; 432625359; 157692614; 707495371; 821497174; 600489189; 115667721; 364139288; 3660713; 775612054; 794867899; 867135287; 1022021476; 257404711; 667800234; 1064021361; 835121273; 780067566; 580965824; 315066067; 534855036; 447945446; 68764102; 1073292639; 412341975; 330207535; 651915429; 253386284; 299655893; 183390216; 249646864; 413178272; 804844820; 996361152; 371181793; 987679990; 262747902; 87119258; 359871315; 291970729; 805001114; 145141989; 493913964; 732067373; 850714939; 785789989; 207570922; 1013952308; 716706208; 1068174743; 420688436; 152456838; 1006367195; 422609593; 98834082; 1059669620; 835737713; 35454028; 216233403; 202840840; 708830538; 513271932; 601708673; 787225840; 377318937; 793744223; 616718215; 1030260493; 475437889; 126371315; 279856511; 1029213411; 10472732; 307457259; 315308535; 401086553; 259164973; 147793372; 666029414; 504764335; 107678589; 597472508; 1019441223; 858689452; 613551706; 191141284; 743951159; 527038026; 929236103; 338430995; 186903747; 199348979; 536388984; 949930095; 519997422; 898373051; 612073900; 916940380; 416394549; 902755206; 137301289; 631351441; 477203036; 204972008; 682788961; 908619700; 599961400; 60371535; 919194890; 824844450; 208350185; 662765742; 927362850; 420289890; 533157846; 15686432; 488854546; 207577407; 403612645; 740813591; 3819424; 322942416; 389706714; 1054238302; 22315202; 890783698; 1063789811; 934738633; 538858241; 854582324; 314560949; 248723135; 206468798; 103682581; 787920867; 56617606; 947683911; 589021537; 585901561; 781582701; 613129358; 200107597; 381138427; 323334552; 885092478; 920703538; 517683178; 330880092; 605905865; 650687136; 289544509; 619411846; 502494871; 609502877; 325640897; 551128826; 69716950; 289678736; 671950027; 123350906; 241745206; 987165811; 198501426; 519378664; 902493050; 656403620; 31628824; 225294572; 365858636; 163048584; 1049614123; 365393939; 754148614; 28549794; 340166214; 852238934; 777518130; 460254298; 994703380; 201707595; 238394872; 291419588; 536258950; 900459343; 292901103; 309624455; 55408290; 363107465; 80551683; 821957834; 381887596; 921755116; 66771079; 901769906; 299105323; 148147477; 757471062; 173178833; 565211400; 439784239; 221014896; 575707766; 486540204; 106091753; 103413959; 566660181; 792230912; 670662947; 90869600; 536142338; 250676777; 496979097; 513291884; 717311300; 570011037; 935454126; 161656729; 712541343; 505219752; 341070014; 605236072; 981282453; 384003041; 1009323208; 110799352; 586575904; 903623631; 191622802; 85327188; 584049591; 310370517; 803440446; 534312042; 251424174; 599161572; 575648521; 532512475; 1064055292; 946362628; 158299384; 322365168; 312421601; 224175211; 626692997; 685414480; 80383631; 433077481; 648618638; 690559472; 492977112; 85176601; 493407809; 148803354; 161618523; 629075812; 412377374; 358489014; 152664664; 506504364; 630796546; 52214633; 199417621; 856203825; 446598519; 71692774; 1041492694; 894817895; 395634861; 414307064; 591001858; 252965714; 868847552; 864667723; 824878951; 880065016; 35325461; 1012251409; 596505546; 336829938; 481927358; 201932457; 1066669633; 497121908; 918823772; 244773943; 1067140059; 496955001; 293412066; 783523031; 341851666; 850438200; 625196324; 427698748; 856880618; 413935108; 874687306; 71442475; 403915028; 25741775; 297859125; 203495623; 276438441; 49973425; 321776425; 690644050; 655538030; 606903821; 775298896; 583828456; 618207864; 403552688; 863558062; 901238403; 682401045; 500801464; 92285852; 812548422; 480644491; 756266827; 421355868; 231009993; 18776949; 20753785; 485193716; 106117571; 351920619; 332671900; 581913026; 835259786; 1060691085; 125477371; 314570373; 1064041031; 965765911; 548596622; 227622912; 489561004; 170473378; 304749597; 576502341; 341661536; 2908499; 1050007277; 906384670; 228905524; 137014455; 944942428; 180078007; 987277041; 422994255; 670105887; 524704944; 792906716; 479218118; 229894790; 75030831; 379262512; 849259757; 917339916; 331961501; 329068706; 927079324; 858408813; 439672115; 576759494; 329164011; 912745653; 197771862; 726318637; 168952997; 808502729; 552636517; 594065059; 505399689; 451796324; 528907655; 747655414; 141385864; 282671087; 861729456; 814096741; 763138328; 220784827; 449449504; 106884595; 632291542; 1049763207; 260857205; 924659536; 994973605; 863006201; 628738259; 879503281; 670455312; 167216523; 803546757; 270809501; 462428098; 895171604; 660499795; 521914325; 1058385345; 665953880; 1010764584; 512585354; 352304949; 60204134; 444603982; 20890104; 74705178; 1016210913; 340574371; 311459632; 370346865; 406499522; 455293368; 159385364; 869649794; 90882088; 319029988; 938565217; 710675351; 252782354; 600059728; 29021209; 1013436280; 196493222; 834430395; 1025273172; 359666822; 471502840; 696994764; 757494598; 104275631; 133475813; 1055743395; 911218591; 862057202; 552768363; 27533557; 169282309; 144509378; 110072430; 93148252; 257701365; 130067660; 199632627; 319990499; 940556657; 796130617; 810971411; 341863177; 423426043; 913865006; 678526501; 987984170; 964223265; 809194488; 548979411; 699677736; 187229414; 587628287; 570448100; 165067782; 1019973060; 460574396; 765284860; 546899191; 1007144863; 684424114; 542171596; 611305585; 139100770; 36660905; 131841994; 372843314; 470807322; 918104118; 998235420; 446056102; 112458059; 761265735; 209885599; 211521395; 906437667; 939372133; 13053296; 611250938; 283386819; 360574772; 865250886; 1946517; 449784948; 1060137381; 835159042; 914117328; 328406179; 801607604; 653938471; 387212056; 454142712; 1040743057; 631783327; 325303576; 1029356051; 388466235; 241574536; 1023505843; 609025149; 664890942; 424453239; 332919023; 998173629; 610200473; 97543888; 81114511; 313047216; 290512542; 208968046; 1050323419; 366161441; 1036565395; 530733433; 33260621; 1029055838; 675190815; 1036203807; 328573920; 543682315; 214035020; 208753052; 672473375; 699376175; 881720037; 1066512768; 159876044; 554230690; 168689544; 592560264; 257655647; 802637745; 372102691; 744640872; 514821279; 151001582; 430762698; 690209684; 335349836; 786674467; 1055274363; 540796201; 559697374; 692224530; 745002416; 1028034058; 522499209; 449300357; 781744315; 63037154; 657819586; 38866816; 765144076; 937786768; 130823792; 969645558; 272800999; 663185657; 638590557; 695174562; 304773638; 354190188; 945576783; 637845134; 368858387; 27498182; 820109924; 106849597; 878798783; 639947141; 748287815; 835114670; 164113023; 1023054319; 736229948; 524140838; 482898592; 433766863; 826418328; 181084778; 834198859; 636229711; 1045266912; 461250443; 744769805; 257658260; 315809561; 966451378; 876233937; 184072254; 984964893; 386595300; 551709856; 585222408; 977910404; 212046678; 611643677; 60801825; 671068954; 926297997; 236009406; 786525392; 884499633; 828257275; 465043907; 718573308; 546727366; 935121993; 516587711; 123246467; 198741438; 254273718; 76009074; 1061331133; 215341057; 907276262; 429724592; 327912198; 611830562; 570378997; 647640765; 436077096; 817500857; 957182501; 510179111; 440487122; 69847031; 799908694; 206275008; 71776877; 319497021; 377880052; 256671039; 969410591; 327308136; 496477456; 629810289; 799114585; 671623695; 484229158; 848768861; 272338156; 171029163; 960282349; 1065098022; 914462056; 1019563848; 555269261; 1001745018; 568118562; 150820404; 209661583; 125808672; 898259152; 544843052; 296913710; 721608798; 777152866; 711099485; 65762754; 256224474; 488640105; 461080177; 703374589; 57752116; 399207161; 445909203; 211406590; 739463093; 194566068; 576311598; 238276941; 52735425; 568025401; 1008885564; 409646566; 184915172; 186345768; 597289001; 188714659; 877709134; 995917996; 440671519; 442596591; 46765328; 1013958429; 764451771; 403782801; 522848007; 597235723; 924714554; 528199624; 935084440; 723230261; 805922078; 320792313; 208047847; 661970446; 593649634; 635445141; 235988523; 888060520; 654891089; 73679324; 312459765; 181157053; 299001923; 788925826; 654920417; 25137157; 437027002; 393177638; 684566992; 60442619; 981524126; 45457774; 646373077; 957731351; 975878224; 488153934; 300774886; 464964997; 728252322; 600174637; 116260650; 57165149; 556680201; 990504253; 920420021; 18705099; 110449720; 986961003; 1020875881; 789829224; 183399540; 135139268; 653081701; 316692348; 1055261045; 264838568; 1025404080; 335641809; 354742798; 113967406; 496466017; 453878084; 400547696; 802646917; 619265073; 777730846; 464032989; 612324247; 200807537; 473304658; 310133820; 344016254; 749658659; 380839166; 419323119; 603460374; 349635413; 13513791; 595127139; 407060971; 349526643; 100751299; 400970004; 721626168; 713127342; 786239575; 258804966; 139024300; 649975087; 37936327; 981296546; 365796934; 1008002541; 307354019; 360145371; 1018690574; 534536447; 209229822; 1017205610; 397800892; 185841212; 521036581; 839174312; 513510051; 913638536; 522451345; 416637119; 126430119; 590686299; 308010907; 896818921; 955932359; 160267004; 87295314; 421644028; 880095537; 347958694; 75028014; 578097913; 1047574805; 360926422; 726835926; 582760212; 415727790; 1022571483; 186533425; 825951142; 1050239333; 881143392; 713277491; 913343868; 654021387; 539076816; 314739843; 298887519; 768724574; 453623421; 825325961; 251256271; 905736115; 267569237; 802385268; 179635912; 26601493; 466061422; 366602914; 21888686; 531034436; 1059942172; 76506582; 706978801; 837977370; 874879940; 207568477; 807001801; 1052500926; 262879531; 899202684; 470493601; 575799300; 739581914; 573832460; 594513320; 90163749; 334591492; 521715154; 807265998; 675907533; 64576371; 108894219; 475928531; 763844676; 540165333; 281959816; 392173474; 693999596; 16066588; 96502120; 415348521; 198153502; 549486884; 437882283; 436126306; 852735652; 415408141; 204051165; 533012819; 592830245; 132533399; 305186467; 1012834492; 832662194; 1032295613; 249472356; 129918527; 32284077; 182904708; 1028204614; 599067794; 396652294; 147038138; 954528048; 131479707; 601919904; 1045623207; 53755432; 437264863; 57827246; 459514777; 184458933; 228495718; 652584082; 353514523; 767530252; 646126344; 1018609641; 549857999; 112914372; 501780430; 833755343; 513447974; 224344249; 244202481; 106124999; 1050028801; 712657723; 173633752; 256133492; 728916459; 917736868; 127999652; 847788737; 381485181; 461782771; 126372212; 804901319; 935278504; 560108727; 567204034; 28126942; 134029949; 711642949; 502223247; 179781682; 879641002; 826163405; 454226143; 865753442; 360835623; 683117363; 699462137; 389612113; 348076599; 638236240; 70546565; 364857661; 92620057; 566907035; 229937965; 990785908; 641967100; 989190025; 173598459; 952354269; 422309944; 898432077; 205197797; 744099630; 162399950; 182967619; 490480498; 347436856; 153391098; 811431789; 637102053; 490540934; 32190341; 760107566; 709603548; 421487933; 593466474; 159762204; 609951432; 821919888; 779058044; 644734335; 135965342; 342505678; 704429168; 133722175; 254373206; 282896114; 780183785; 868301767; 33472785; 933787090; 402569402; 45480385; 684158838; 70234913; 590776419; 410564535; 893073518; 1003227203; 178721891; 399484078; 876086942; 19251209; 820629375; 754220729; 467072704; 1016991914; 931486694; 4815107; 686415728; 555597166; 910911611; 179771177; 262672229; 869418429; 248597184; 94646654; 46774660; 341512722; 418971177; 629712597; 69605652; 176873586; 1006175794; 295493800; 378258832; 291624514; 923924252; 1028559216; 705006855; 694497883; 997594064; 1012712249; 1001611284; 425975556; 148279452; 1022137537; 493570715; 495873943; 601071611; 1008167104; 414116726; 450798828; 911686693; 617679180; 192190275; 335153011; 539833014; 507641201; 120648829; 859225012; 403070534; 353361429; 128677127; 335126039; 110862603; 934728229; 807596776; 955805024; 573198531; 439053124; 355499128; 1057068057; 601989277; 121139683; 967119828; 851514475; 827105959; 819148677; 271321871; 675921184; 422797845; 185370396; 698907337; 965886877; 934719396; 535659113; 770529263; 390998737; 1040132324; 803306882; 364999428; 186058828; 971437398; 739870129; 619352319; 546281949; 494918797; 269592470; 283482540; 758073226; 198481731; 727017889; 725464082; 799498004; 784177264; 159881487; 422764303; 691047325; 1066906565; 332224009; 810277249; 789005272; 432948511; 450474113; 1030794804; 725501422; 639359693; 402846161; 493199920; 184948096; 438951027; 189344376; 772695317; 947513944; 820414898; 611584491; 293428863; 932285976; 495028287; 556553453; 954331055; 358258476; 43780315; 616956843; 649464102; 712280076; 550195140; 241024517; 287162917; 691881242; 122261111; 794657320; 158444827; 499195433; 153141340; 984593129; 75565318; 547455824; 519348656; 491133961; 540045258; 100918545; 342299425; 217325113; 704077118; 300848213; 990777512; 656382557; 638296072; 568386093; 444953102; 808035570; 331484847; 639307178; 207801479; 390308272; 955121398; 619201240; 628618336; 678929770; 831647781; 1013159594; 405067070; 839965115; 292774068; 739158453; 364430520; 82888480; 206339240; 407329603; 330141072; 657969632; 504854831; 497151077; 405341838; 293007233; 1035369001; 303419209; 450800502; 538762798; 1050989986; 573957741; 37087167; 126209652; 1030881720; 833586601; 120649121; 816147382; 664618708; 709645833; 956243976; 935589521; 606667605; 905067862; 938137293; 1059375855; 700679902; 899743334; 714784745; 35347075; 281501395; 139642955; 699286134; 869196563; 412622206; 77643191; 989132282; 1044070085; 737606988; 700522653; 348603686; 1056834620; 994440767; 715686027; 997350206; 951122592; 440783807; 1016577437; 597911341; 496242581; 216448701; 487747504; 452385875; 193053499; 970346105; 688666303; 1004945547; 403059827; 1050741471; 791715306; 564169028; 233846156; 468476928; 298508982; 518661805; 994043351; 871865390; 896471637; 195438038; 36996182; 453262982; 911094964; 171104725; 554656712; 341906627; 806269964; 447397818; 464565361; 1052436647; 529943747; 367639338; 406853456; 6498156; 76112754; 715000822; 254943111; 398471880; 15213029; 792471764; 256475954; 637646966; 729165355; 967926382; 54545935; 804063142; 485598876; 164935286; 116007661; 533070567; 644847052; 1025441180; 95710542; 776412252; 937427736; 944020693; 396418540; 960389322; 716265308; 1030545114; 244849419; 473336564; 404924468; 578588325; 151730517; 493250545; 555160332; 675351509; 108296186; 1049903618; 519818528; 317599371; 624562859; 1060257238; 778034765; 907968505; 372716660; 820737478; 186354403; 325949165; 548206994; 384181451; 322269492; 551533788; 658139320; 556158131; 387509325; 182669270; 707126524; 508270393; 529426091; 129554567; 124509590; 466341905; 716436629; 491699036; 228676640; 1060863079; 555355207; 957466480; 626403241; 820702430; 917513989; 33871331; 128490611; 975217675; 1012267428; 935160770; 57913721; 972257679; 366582125; 448720534; 27621199; 822696943; 876733826; 89851287; 1059203378; 769799348; 769720573; 559865295; 693484022; 561288218; 330580695; 1047583201; 44069224; 325896131; 960557786; 29363090; 597710844; 427779439; 1676006; 486498332; 753462331; 677602722; 433002868; 821231449; 589312788; 56778049; 811815142; 1050441655; 604751196; 845608946; 202796981; 177155501; 269250864; 1009019503; 745959357; 794285402; 563626995; 232190004; 9622012; 671238877; 1053605010; 875508555; 233759804; 640347334; 37689945; 411285393; 359463426; 969231543; 877280741; 682531753; 961791555; 626824319; 625505282; 261752545; 322098421; 145616353; 59902813; 1054499355; 238765807; 532470582; 191279554; 228236736; 644073798; 381246676; 494509577; 870870562; 949445117; 574264392; 253223106; 286819620; 577976021; 834227664; 19364090; 758489914; 961849247; 578884805; 437281775; 971334502; 1054720938; 1032454198; 176405726; 1034184313; 707304638; 183610503; 999352396; 454477464; 410102833; 623113660; 173656962; 135917811; 559301987; 508185386; 585670435; 838601334; 259004915; 777153381; 959556307; 933894989; 98257814; 223907559; 1011177706; 189885325; 941711687; 829960921; 214976545; 959604342; 374023331; 855078755; 198306710; 314610872; 860783741; 215890814; 426821482; 199350121; 632255453; 423691201; 270396159; 211178924; 755246297; 478247; 992913972; 202425074; 966388970; 78599226; 1069779655; 1038329606; 431640626; 531381641; 897146816; 313370093; 918285557; 807049560; 619294029; 986872050; 656019936; 233100935; 131506183; 787072859; 171236283; 24577548; 448765108; 411696069; 66680641; 253306413; 308730885; 264550890; 339871946; 499001558; 28580928; 613087195; 900693406; 463034832; 241730111; 818029371; 1001660605; 344227548; 896315881; 169117068; 949858562; 487487992; 45496503; 941469533; 55910442; 1061538933; 613962798; 724494580; 762653255; 565327373; 30927999; 106169701; 617911945; 202811758; 651440680; 551989824; 613691854; 536241854; 952124346; 1050293505; 286549409; 399381479; 801875310; 431376875; 281436173; 19605083; 921592735; 159457295; 648468159; 702850909; 679193917; 204273157; 893874676; 61457116; 589270235; 498480111; 71876321; 869272187; 136969731; 130394602; 330647461; 382294949; 457292092; 406155055; 298339108; 1012226557; 633048970; 956916660; 742370114; 796630322; 902433691; 47426286; 676989371; 79743648; 693210433; 267573066; 889986085; 332770676; 748427649; 1039894051; 466821214; 756563029; 918073405; 522524707; 958926380; 394736073; 293227732; 770590870; 158697327; 593756947; 1009243233; 1019774298; 1023586393; 713242025; 145984028; 833339201; 12543975; 299913421; 80162197; 425704776; 145000436; 148886046; 533131695; 34205143; 1047973977; 134844885; 653468430; 410361195; 828306669; 748393197; 421754730; 836331775; 1047702725; 400785871; 240790993; 358587047; 977337069; 268008303; 39121060; 882118169; 735592587; 710953157; 926521690; 288562476; 924573977; 648474015; 774065920; 455841058; 1011231301; 355975717; 528456602; 124206781; 469467752; 987759097; 292454757; 598894496; 33197138; 583550320; 830627337; 137466968; 393090153; 15614694; 53390041; 749462282; 11250552; 174460952; 712231043; 411697225; 590502663; 612935493; 362637652; 931872392; 8949404; 899802049; 78176344; 993978949; 732913148; 309399567; 59545115; 369199363; 982425459; 307902052; 312690969; 991867219; 96140958; 441723834; 340066263; 57366821; 721636208; 438625493; 127206147; 573877546; 1044925464; 187885549; 296108941; 675926751; 44794135; 302929095; 837670446; 80133113; 378500309; 636886073; 585383129; 656225276; 900945653; 771775706; 234413243; 928075169; 869914601; 108037262; 612578965; 1071989813; 74391391; 838162651; 581038442; 38953835; 778366656; 636068541; 291419721; 412731904; 955514469; 104836350; 517109275; 409383494; 181624858; 157319180; 478628000; 495759942; 798492591; 306893154; 349912821; 527282026; 369351750; 789917658; 985498293; 498864546; 65530543; 649498875; 286760422; 121895946; 319278985; 862133640; 32245278; 299446985; 403892610; 78951430; 413291508; 711282445; 750525382; 599474918; 925429690; 392549741; 471455658; 561431613; 766223935; 318034677; 480163599; 347603118; 624669284; 87338325; 492319355; 569192003; 942924046; 853315707; 221258012; 883382264; 649126398; 760860680; 1029604122; 924903814; 733735594; 326878143; 526514145; 2799424; 124879075; 1057230962; 169719628; 992337200; 799735635; 548495028; 625680486; 726865408; 515210947; 491890663; 592070866; 6329214; 754242367; 396038075; 710198126; 540535199; 539160320; 209426603; 159249893; 993414598; 502631960; 205527976; 449410716; 960396914; 206104157; 159164356; 743246673; 345455064; 711623219; 569172914; 442137514; 682818631; 297246329; 496335236; 365190522; 374094813; 684692189; 320135957; 387006091; 503735741; 17584679; 258201869; 80061037; 636964172; 4628439; 35442983; 697734675; 18082529; 185812543; 350520310; 537379268; 732531808; 80009956; 711493095; 276204990; 292243873; 855438937; 393095143; 207871707; 798091134; 536205417; 708046815; 997272053; 552662029; 906937300; 125365224; 685497008; 734202971; 942613566; 209163125; 78493169; 206269814; 187185694; 502123932; 552117085; 608816914; 373181849; 985492465; 143748667; 431336046; 1058428146; 278369029; 101941503; 593708146; 341805648; 15406448; 577273218; 915063098; 598099555; 168730483; 784625734; 745586157; 30805942; 135228413; 880128388; 872145758; 744513675; 47921937; 469157590; 436800584; 882771555; 356620621; 740054958; 1054012483; 516436114; 568986783; 727947215; 20729580; 833845228; 193691375; 867691450; 445118161; 194220030; 835401626; 50063910; 687960313; 750271222; 1040278591; 20716785; 781419310; 19734880; 96361278; 912723125; 285173909; 232200045; 464328474; 406424506; 791429126; 840959578; 870083741; 43340461; 520149644; 13018987; 346457492; 273795429; 460395889; 453079600; 204325055; 474982403; 548289878; 680118579; 533310747; 775084157; 711630927; 157277198; 186307544; 1046259148; 759985174; 325829633; 463388948; 805949049; 41363620; 928135588; 753182258; 134499007; 1060464967; 510668171; 923078277; 589910538; 607386103; 378132271; 663190034; 6516377; 1071474611; 290326229; 153657522; 1072939954; 557701105; 31193573; 195443164; 259177435; 959985076; 466420160; 110841728; 85495472; 758672105; 786883480; 552476802; 680103943; 979412991; 275415110; 419145745; 23067555; 1034020692; 18852894; 112600675; 220467980; 892775047; 970868556; 600154849; 741726354; 509307956; 513823126; 620559126; 353919771; 859689323; 864797584; 15434170; 456470340; 217382092; 571088899; 187008381; 199448607; 1061860962; 778366305; 354768863; 765338590; 285235947; 750457597; 801261038; 30737458; 659217118; 74521962; 930663745; 1042992445; 276965205; 115821675; 947685862; 159079384; 459721327; 760404020; 408104659; 192782612; 46417804; 575135385; 494770545; 863346137; 381464587; 261020239; 508879090; 713035074; 390074608; 812129874; 750011061; 94767797; 666512305; 825268224; 90933052; 471743903; 110525359; 492689909; 712779781; 604753936; 583993545; 148388164; 542868152; 733321584; 836064362; 675968934; 12060101; 990065839; 84062789; 622471866; 1013796866; 677740598; 534813722; 487004390; 882594671; 577642400; 849782296; 347076612; 572558904; 95714541; 917420978; 821980518; 197343830; 609992213; 1066219389; 606600696; 602486993; 1054396261; 936356462; 69469499; 167007485; 218199096; 813301829; 18549691; 695739993; 510649298; 704483742; 556896342; 434587686; 194006316; 1068650564; 384646649; 806121200; 347733673; 582068425; 911307747; 165073980; 383535374; 485291620; 84206379; 991211196; 896096040; 681178171; 774400938; 184392936; 703016902; 412116305; 890519844; 355990573; 266511846; 519443052; 862786312; 968530062; 370426982; 909163204; 87977075; 247888706; 264242610; 393209181; 516209432; 770063800; 576540469; 447930924; 923087724; 298234842; 455029471; 953304549; 264099788; 68858148; 117433866; 37228665; 1005325359; 20068991; 881960319; 37440880; 637211997; 268600115; 1033239690; 698960271; 137762732; 873862884; 189469168; 357900711; 165983643; 502614250; 199518132; 699521363; 925035208; 573805006; 372274357; 514975471; 1068466701; 110473815; 703746501; 676698535; 643464517; 384255135; 291732433; 523161667; 1027958387; 1060703255; 50850095; 844796430; 1033844096; 811380549; 1022157612; 639739119; 62229623; 1025282520; 486399339; 438982653; 382478400; 53118129; 152481436; 681051057; 653618280; 798200155; 411456136; 188865474; 752812613; 173578042; 656145495; 393354989; 668205366; 320522925; 1022600338; 99415961; 783386200; 369217457; 1403889; 468562908; 218811475; 391905673; 347353692; 839316548; 27622249; 975200353; 748925257; 618547683; 1059481234; 248643064; 1069502925; 685096712; 1022945853; 1023101334; 163444549; 259947476; 871225883; 612168972; 117546002; 37873138; 803182552; 592094507; 1006059702; 103574132; 9960284; 382865884; 452223561; 142820674; 874727678; 119011957; 825799853; 175251400; 880186650; 632062361; 1010171688; 799521531; 795829278; 152386941; 541940807; 687270889; 319219737; 325634193; 259214950; 808349468; 196591767; 195257420; 970598450; 741788296; 155236997; 437254900; 285381966; 511307822; 467644989; 837963354; 289924163; 878454427; 398137073; 490467066; 453131778; 415376168; 964008961; 501316900; 76144004; 999958488; 51871805; 265263176; 246475826; 734157530; 614575887; 308923110; 699718326; 575696273; 340795683; 697312866; 864711155; 290563380; 387932647; 234714428; 42809671; 578150440; 241426377; 716788467; 852165474; 473962647; 286975436; 920125631; 400790319; 413676234; 534290999; 584787680; 264430691; 640434588; 345252027; 783206500; 373507548; 429272671; 489951713; 355484739; 288917695; 266815903; 294934663; 571271641; 1027130251; 154554735; 307359512; 940122001; 509253562; 109902224; 1014025444; 1071785087; 837250340; 246776313; 362379588; 692547175; 421168740; 1000187123; 638983516; 346890194; 37106549; 451276136; 140430267; 315303972; 850735570; 217294127; 283836171; 855728085; 770785669; 402454366; 307917287; 741546097; 575298840; 9554627; 407790064; 683425085; 313125446; 949742977; 1012519484; 1030296087; 1040719831; 20838484; 864082075; 91892706; 930470942; 6830275; 14965037; 1038185481; 812579323; 772337392; 582234703; 495719929; 604341804; 138432574; 440846754; 859834373; 889401079; 270625678; 185786760; 659629056; 985876583; 612170510; 1022734158; 364053940; 936656032; 1045635777; 708954680; 1026506325; 167403747; 134342041; 791683584; 389187662; 707661526] 2830) + +let test8 _ = assert_equal 134217727 (minOrAfterOperations [442771833; 948202144; 1073212693; 936297336; 252293459; 675286744; 744850554; 479424528; 496042104; 814025435; 755447888; 744678234; 478063415; 646557751; 1016556152; 712394720; 254169261; 1052243242; 924949752; 830986059; 251602690; 864047696; 729396783; 988563475; 330091186; 1032859847; 660020953; 797514212; 832932434; 162982869; 243584058; 773097559; 636166832; 600922654; 772120767; 464790523; 648399992; 175779423; 278821123; 295339670; 307594097; 792223728; 681675335; 699026349; 723750137; 15357680; 908216538; 583639267; 546792479; 760967564; 74600801; 231539702; 385574091; 107203421; 503043673; 1005124610; 152723078; 64716869; 759282956; 936646615; 368649244; 866465129; 686699967; 1052341371; 952765555; 601492041; 950026320; 1057559755; 781246889; 273606437; 423951857; 799974818; 211920045; 452371415; 746995195; 313295472; 32526091; 47777104; 945548904; 812996678; 512990659; 845593469; 943804710; 898390405; 674512771; 383319973; 1054625537; 613946127; 968288617; 801119065; 480726467; 679301845; 992059686; 70961143; 21890989; 784593299; 637242598; 978299138; 149255204; 251306898; 358957016; 820951444; 56655336; 484290193; 938157880; 263052364; 856288095; 200688855; 44015028; 247595340; 1011121247; 515203093; 907918230; 780005936; 114010715; 142526046; 670776509; 957156802; 531461029; 392149677; 271782553; 1056965451; 746548661; 137531935; 360739412; 674789381; 803807320; 347937124; 62531977; 436515097; 673745839; 709905846; 834260481; 313897426; 638606566; 726319303; 665506882; 545637341; 519160813; 123665330; 720150763; 558843235; 224249341; 233542943; 810690268; 72411494; 559964882; 334551027; 519648088; 164416287; 1034094064; 719720970; 47490628; 193764155; 97953415; 530679635; 731175461; 706595494; 599870845; 56079735; 775989596; 900121406; 149016073; 268895277; 449928191; 943634041; 803651846; 452629238; 940797331; 450817053; 913628666; 290357091; 261763773; 604115247; 692598197; 990559349; 262971565; 138464499; 681321879; 102071825; 613335950; 697601645; 607407806; 289021661; 897644859; 926324368; 1039601658; 218738253; 1031636392; 327100417; 237533021; 467388468; 844302920; 299942946; 973104127; 139916069; 942927785; 878413246; 903955072; 564793165; 76557932; 219718923; 376720063; 861636199; 789060276; 327826326; 106947856; 23442720; 420762560; 535996713; 173096416; 90776334; 500870054; 962266709; 315225596; 713832237; 658133229; 725409298; 912968216; 627711265; 808773525; 988568385; 776986974; 574698426; 917827816; 572893585; 745229977; 478372848; 816741803; 634466377; 849162687; 977834887; 986418762; 386502663; 47221495; 650350363; 222637919; 169792323; 598283055; 117319034; 481700950; 1016282626; 160837280; 31887194; 844747185; 241628076; 855484588; 387723086; 187491960; 166151006; 172172281; 986854295; 1034487481; 954064977; 601031782; 289234552; 325448899; 417108869; 621221783; 787303075; 1063517522; 875454570; 243015304; 45574846; 605611042; 679121898; 597310956; 808354297; 696082484; 1056617369; 409791900; 780538214; 817215955; 928395352; 146787513; 575782834; 689057444; 95779705; 103691996; 620367758; 612362740; 414720322; 401818313; 346831002; 703764857; 705064667; 795977831; 163590298; 101573118; 160766547; 360604285; 1037564377; 175039611; 1069939640; 682697964; 536295468; 653613555; 445741100; 278404945; 118130627; 864588362; 950980090; 637837817; 718224955; 31292580; 774253590; 25636821; 88785569; 274108959; 965422335; 531328132; 147882666; 843615406; 688343689; 961499052; 991917779; 939932189; 1041987232; 495471905; 319001189; 47020123; 731439381; 1064123555; 607589770; 78817300; 803252903; 673699373; 915084549; 1011364413; 742434152; 159233180; 606064629; 848229811; 403688971; 1062565370; 133926657; 265953698; 139867690; 847318143; 493026680; 923069232; 504239510; 984225903; 888837990; 106287446; 347037898; 309469084; 428955194; 128607349; 1038715428; 447869982; 887815678; 279289057; 131401404; 532399261; 127400086; 232578281; 1014987889; 737060986; 356193838; 655814768; 894178241; 458114698; 92555088; 615234974; 1000702433; 229378651; 503879501; 654023046; 232667468; 826170313; 494567379; 270651962; 142527111; 688135497; 1015324604; 541204327; 1034098073; 20752862; 76177091; 576142116; 346244356; 440999234; 681265217; 274037088; 878380226; 152620068; 352138471; 565556667; 424682106; 120877159; 139465340; 718093776; 489346436; 826029391; 302641187; 665050861; 757546891; 847716053; 823682925; 967124491; 568239953; 805238214; 621053823; 770552456; 417161330; 365606823; 399149478; 952501489; 1033419553; 342376894; 186924488; 552479095; 156562191; 434932986; 585821552; 440320454; 308616796; 939066488; 665785518; 817961108; 478172067; 305749253; 550366782; 159301228; 879915022; 402956434; 1020259696; 693318480; 330041841; 919111504; 374452415; 1038557761; 774851910; 1060135328; 857594722; 541874928; 171274662; 423635494; 435446555; 711212463; 294783757; 646111925; 509450283; 472638596; 345539143; 915500400; 751363342; 260515627; 282670082; 413154385; 481786584; 305248111; 42620278; 827743149; 488257735; 662744953; 526231666; 738101955; 869946859; 527378214; 858751565; 306539875; 90254176; 126789553; 676684814; 132696451; 743227048; 893768800; 1070393401; 841640585; 1017143931; 523797527; 7207962; 967325498; 687085312; 417850355; 29648528; 1067313829; 326479800; 994445417; 417681365; 955670407; 492567837; 302231216; 428527156; 773021712; 226206528; 131598548; 898412740; 260255245; 48823538; 81245956; 81938611; 308941825; 849771852; 69578874; 609546294; 735837988; 548617394; 413518228; 23014114; 218850136; 805504152; 293498547; 35213322; 380116200; 1026927753; 264923601; 809138002; 201467806; 399858646; 384844738; 515918830; 606996857; 384794703; 172363277; 667481013; 84407307; 292058872; 660065391; 237934302; 133807565; 201556428; 892408148; 993200526; 350809199; 4467626; 814235314; 530191929; 510994708; 499550105; 299751028; 624701526; 638593804; 446077235; 630908918; 253235181; 82582412; 817271947; 1068394931; 953120552; 397468347; 808033167; 76289139; 1063244003; 214994043; 41195669; 882534062; 521086732; 369425067; 147889358; 698000235; 101648271; 1048308387; 323439888; 580128839; 602517339; 496771151; 343739074; 188541894; 1014057301; 185295337; 934909817; 431984991; 668730484; 957512227; 291418851; 313989946; 492357060; 846714028; 692370164; 797980648; 450975703; 707452444; 399313848; 404123071; 186423080; 63261791; 708664080; 195171252; 514511259; 89818911; 835347546; 182682794; 778158761; 965519233; 587615671; 124699100; 2931572; 520149915; 10461508; 91267328; 640110614; 821883931; 516739503; 620890411; 274721450; 346971202; 229341084; 517308957; 928821345; 1052302263; 263470269; 32944360; 189709400; 464078171; 530375816; 261315389; 488209493; 683361111; 628146738; 404438706; 22012624; 347509570; 75343048; 442156103; 16238567; 550119716; 129446866; 400931901; 846284418; 707535441; 329972131; 501705551; 610082987; 717134654; 529872307; 67613990; 523871364; 107492981; 1011152047; 193559265; 116426614; 979301448; 1068406416; 261946401; 755840272; 170691057; 737997967; 536976347; 548010622; 1055408708; 195964369; 197762792; 678428767; 285813316; 1020930382; 25123613; 350120475; 561923894; 939089483; 315634737; 449800152; 920604996; 958707536; 541018908; 834265648; 539236001; 320193689; 976079025; 488870252; 245147154; 530132776; 1023133150; 521409808; 411570489; 674120244; 440711977; 402508715; 827303002; 491642263; 197272850; 678471919; 982920255; 982548012; 339502077; 673026262; 137752522; 909021327; 888450332; 555533970; 262809618; 723216133; 405991942; 611293043; 479085886; 582818446; 235823842; 709625481; 939331378; 763317228; 183981752; 240151835; 505224299; 217392263; 490051025; 695327858; 843564105; 571549007; 761496906; 628423973; 851781343; 790320896; 836969659; 322804038; 379365864; 1062486538; 309726561; 118229534; 657327791; 668857184; 973714238; 736953889; 1072221283; 138294443; 843649484; 973277961; 73406827; 198556492; 371849516; 249062563; 782728352; 707066194; 329960845; 65368452; 23461959; 90248283; 911311364; 1004449121; 1002145918; 311267270; 824280256; 380421193; 414642179; 297621499; 628147180; 480697031; 838712786; 1072855518; 177047775; 505798415; 124207014; 52909354; 1029147860; 383025785; 689442711; 145866386; 452510399; 300072855; 45510913; 844488844; 252544115; 467313470; 786455208; 789439343; 826539810; 619683688; 370014618; 307851462; 466800372; 180958518; 662987801; 136715349; 193408318; 166988456; 711235663; 245476523; 222091251; 976789103; 200413333; 812699637; 212338868; 549487252; 622136313; 365770872; 596721076; 15327850; 257503955; 538083706; 217994400; 251430698; 620158209; 551179159; 713539697; 313198707; 665232384; 458706439; 753727214; 506205409; 736353979; 1006517940; 261753574; 769093837; 34136437; 563961965; 1025940079; 743622604; 162816014; 586665288; 1070108756; 292886354; 188353900; 643143589; 650158565; 584890989; 892782176; 460425726; 897796472; 393574504; 36638887; 902673105; 701620628; 391631664; 761225859; 143222854; 205449928; 200382284; 480067450; 54017729; 246494073; 293247325; 456465275; 526887503; 701976238; 12074009; 187586467; 231248085; 780557252; 669849208; 228779933; 1054388790; 642578141; 301086614; 571897563; 464254364; 533688641; 1016492078; 1066827986; 12263665; 967806060; 1072998518; 752791687; 577327882; 484231585; 561393049; 201487359; 312060599; 1016085575; 463965760; 1058532705; 492254943; 192390175; 920640411; 800167300; 965110239; 965085638; 1022950040; 1040270820; 545296309; 152451286; 767887912; 800277599; 402100010; 443527135; 21390755; 289202892; 396891961; 792446281; 34906825; 171614728; 475724740; 4019311; 811935875; 242047020; 803231113; 934245392; 997926942; 1032796028; 16659864; 424292207; 174735949; 1034765362; 1000823459; 326651824; 274532407; 532282371; 303460995; 253511318; 629442242; 479452029; 624875074; 77846110; 302533675; 506850411; 903702754; 502548187; 1026066945; 835470289; 641075209; 523369825; 485862201; 2300178; 763602141; 558601342; 248415712; 1069345974; 324665991; 205570715; 42688037; 553891636; 469724109; 740829923; 495609303; 921728264; 360792476; 249254882; 852494574; 1002133881; 95922542; 914377398; 746589482; 181395910; 3877426; 163567312; 456495065; 168039379; 931211211; 589986120; 488009917; 715846427; 890374158; 247787133; 746279307; 888687877; 357837000; 392527031; 632333728; 565565115; 983300821; 502662468; 449971112; 800413644; 690188685; 883364770; 722710293; 323438468; 813489836; 860772937; 895296540; 815228995; 996886886; 915438062; 557910750; 601052329; 155557223; 208122802; 578859130; 602132285; 632153930; 210246581; 752990276; 658572872; 689417902; 190410409; 29826761; 327699901; 47404999; 642261968; 184468579; 673057042; 952472671; 472605469; 34575322; 153517385; 844871603; 29120414; 460397634; 782497809; 53890546; 608015321; 1012921405; 354596812; 52750226; 1041408663; 270141874; 410130159; 964118173; 352112361; 206020040; 409772006; 127654863; 836206539; 503343888; 167424049; 438085099; 254789676; 359550869; 183500877; 782169599; 572467382; 59686240; 419023938; 399140512; 876465983; 63027668; 1034521361; 203455863; 66731394; 442150807; 210412953; 931980248; 296392846; 731867394; 966097264; 881308314; 990633998; 601734812; 403286928; 455744886; 99400071; 681138351; 715227217; 345969888; 947500411; 48186684; 729986675; 1012737685; 103038732; 585800802; 599843468; 949785757; 595371698; 569635248; 342532842; 1055173940; 935476619; 203449562; 666397653; 189901380; 920683462; 577193464; 249480230; 317934470; 363287786; 997631981; 449559682; 1020100651; 1049488174; 864655693; 644761304; 533357934; 728098072; 10695701; 390209177; 981877763; 872579923; 561886694; 591547922; 37044415; 223392971; 690406772; 406901000; 368352356; 801778641; 872347478; 809388436; 831696966; 940956261; 147907099; 734247432; 503548477; 133861879; 137887602; 21142275; 665259848; 322277150; 368411205; 635691104; 377298069; 196599254; 513850734; 258182364; 520856190; 880796602; 274588868; 595110225; 824301727; 932697551; 257642353; 934596696; 734541026; 208421941; 668166163; 610597364; 233726206; 1037026111; 454900880; 878595571; 19031767; 360189007; 586078636; 571157366; 1019713269; 207041127; 476039854; 512551009; 216787508; 435367262; 217806702; 1059309682; 66060486; 821514459; 1042729312; 153565546; 380200995; 342816265; 24247180; 391712289; 292094037; 1072382703; 104870872; 990885831; 826138394; 91013125; 878539196; 466394372; 991788212; 579268119; 9992276; 690035371; 786139280; 122212994; 767271173; 676773068; 456513720; 982433591; 652288438; 497060296; 443734301; 81663966; 166248534; 32465966; 363639863; 147663373; 448636936; 240293094; 125058480; 244099286; 381915121; 220220273; 256509868; 82057621; 685320606; 139653264; 161051665; 360653025; 141541132; 806596122; 1005322216; 884636048; 587081920; 980269433; 230981252; 525304928; 679321104; 163736244; 1014925621; 317040567; 224018299; 238311081; 1022419720; 235592750; 511393143; 328725479; 510541940; 123490817; 256522240; 231167878; 285211521; 650913477; 667577141; 1071190831; 841398752; 239749150; 967275261; 869776893; 517116424; 982214085; 266737077; 216491585; 375918305; 347871642; 489100488; 473643874; 56722942; 870182396; 919704552; 837118245; 895033559; 472868650; 847117049; 980404483; 899281418; 93455840; 314752950; 412100326; 83158712; 130118009; 995310402; 159986779; 314363539; 27653877; 756552076; 397328541; 1009358361; 938283382; 1024182259; 60445998; 1029471354; 164381300; 569292795; 726175722; 305932087; 388008085; 951371895; 342395252; 491728903; 666985505; 1029453701; 906120285; 640329546; 1063337298; 1051726119; 875758277; 306758583; 136186125; 1065259912; 289141099; 740205933; 189847774; 954010059; 291286252; 697152139; 399093892; 796331285; 732534146; 778880905; 245002323; 646557353; 623728235; 192682671; 1055612052; 217916165; 324907526; 812715085; 206784913; 708200186; 957999360; 277023356; 251528913; 34324546; 664048083; 707553467; 302024179; 74165382; 9672901; 687731118; 14864982; 550250898; 732313592; 863432248; 90113937; 841371798; 269781587; 152001877; 351196647; 39932633; 523924681; 186393313; 237761821; 325154690; 1048428358; 814094147; 385748316; 631064501; 427321836; 274907668; 601186033; 630677293; 894744208; 242833586; 129569252; 502788908; 517353622; 189257360; 570415534; 672003652; 194670357; 765594446; 77525390; 784088115; 890850681; 555509623; 97220556; 820258568; 263571765; 690094587; 1003372976; 227575227; 257497726; 112416556; 67051359; 62478647; 168545018; 644967115; 681162010; 150117407; 888711155; 471295280; 560705349; 594674888; 157010737; 895656930; 528444711; 953493402; 820157727; 313879073; 488977604; 733453489; 127847564; 493234534; 224119293; 312320985; 629965474; 343505707; 435863452; 1041087803; 457173175; 422287520; 351805625; 957716711; 147555910; 212214811; 146665798; 401453050; 365716096; 22081175; 885274811; 680095733; 741279153; 226452594; 543819005; 326360143; 645285202; 718442249; 1034271401; 88218397; 1018927010; 1037050267; 990632241; 307724029; 203119136; 397156292; 948707237; 652407505; 301392685; 117649593; 159105416; 493702892; 1047987762; 85545860; 1044557450; 749733111; 241465186; 419537234; 181277706; 373831116; 667241061; 585061063; 946153335; 480725773; 1042685587; 1038789364; 375770171; 938927749; 629148173; 249809061; 20429880; 929750003; 810838644; 630371540; 1038819408; 1003910618; 868057823; 207157105; 983809662; 943892478; 720992283; 573923321; 622242798; 924924421; 563623738; 1007424338; 868617735; 477212970; 936251935; 913638118; 188599629; 919223367; 177859518; 373663162; 944635105; 600725975; 16530173; 206613690; 26354355; 298756073; 119507484; 622048917; 419311362; 627966608; 877331849; 70741639; 22614197; 309507994; 320036829; 574495233; 431233776; 164174475; 904799668; 40335531; 635530312; 679175035; 362216331; 1026135286; 622880560; 132208024; 773715181; 1056268658; 237635106; 620902300; 396796117; 205977086; 938338781; 1019227371; 1032532105; 408819075; 878190297; 315164834; 535974551; 283533268; 259410149; 106480902; 700490644; 582157167; 82918643; 801735758; 1002477169; 438749676; 1039163160; 27990361; 742920007; 93216750; 655135625; 812247476; 917029964; 942368484; 455471473; 861594484; 547575310; 953388130; 1044416802; 910564464; 486994856; 492573038; 301008681; 245135158; 524399908; 1015516754; 151877509; 260840467; 60644031; 879925177; 981735635; 273451444; 162855024; 565658814; 965679692; 234479770; 730322369; 314094949; 190419786; 332689750; 194684127; 920108243; 34592353; 920211908; 729618321; 319752886; 598465453; 1027285219; 496491422; 512932418; 260454362; 11645351; 464849510; 47733269; 995621858; 610514519; 559989296; 446068135; 897420546; 82216989; 111407465; 548387938; 750292320; 171081649; 143601529; 684029111; 89952230; 613127369; 957098879; 473099654; 672224015; 644556803; 1010829031; 1023161006; 808079755; 1062781697; 1009722363; 892459431; 407149161; 1038906280; 16934336; 786374819; 762418120; 243881006; 532800293; 226365237; 428709735; 284202679; 767831372; 6021474; 658323213; 217203335; 927562056; 935324073; 235226524; 970283657; 761135690; 267578780; 765214530; 824186480; 824365495; 258173182; 736286520; 950989086; 876196640; 451103278; 508313241; 854414324; 54214978; 231173965; 888580114; 1058731535; 94187646; 593040458; 461060328; 429506569; 979537961; 647303778; 183877352; 12911310; 315840984; 192934379; 763314488; 946198557; 481972608; 480220454; 457653119; 613810753; 247633037; 947615091; 749132751; 81922117; 571319272; 485912541; 115386737; 461527978; 248641599; 1068652641; 120828323; 90087131; 297794252; 742809766; 1010454093; 71519302; 660817519; 444077087; 1003526957; 1068205715; 490654868; 1029460736; 746494928; 224740497; 770301060; 720855316; 581360404; 988707866; 928399905; 965114374; 745308687; 199360321; 203102721; 934937032; 744245420; 878180934; 857729716; 1037337500; 317549087; 865090635; 572079940; 857050529; 850855103; 1002505615; 319266890; 28055897; 763943211; 554462329; 668685449; 1066968994; 197437028; 145440631; 936507904; 696416374; 271853246; 816735321; 715665634; 202054628; 71164618; 466722364; 507859009; 415280704; 951660869; 275740572; 445044072; 979786926; 470821757; 484242935; 98771512; 1003512150; 334414366; 353171279; 675673558; 213043268; 710262756; 703597180; 771326630; 871170825; 659291395; 603508023; 326906316; 317935600; 366086118; 31167260; 942108758; 164122276; 85263394; 639817250; 45943077; 974791652; 229469943; 130385299; 837428336; 493836136; 131797672; 627255310; 884397071; 123442017; 225633351; 808611370; 262531786; 295095798; 567183088; 143238103; 800197798; 712171531; 961623692; 887876960; 43056950; 1052331996; 848850500; 76748118; 228251417; 925724540; 462301825; 638886095; 259760104; 882463777; 565997333; 151909409; 178726295; 424831880; 257168229; 361073278; 885420793; 152944825; 328500905; 687603041; 743794976; 903410606; 12855351; 626079203; 216028903; 92642998; 47414829; 682983842; 485617579; 756906580; 570363989; 956471900; 719965248; 967361113; 868539997; 699683014; 211650099; 1037540361; 345635865; 389347890; 476077361; 994499640; 1028291529; 834306605; 1029553125; 641050892; 477601086; 1007370324; 177792963; 550680943; 108119284; 757461961; 81584886; 48639311; 591096797; 98897297; 365330766; 490876619; 954245955; 83171034; 900534324; 577274397; 51147576; 24323520; 862700047; 809218718; 996249805; 442435377; 57043664; 287541645; 820174283; 567293118; 790244473; 352092261; 308915208; 261557043; 458441846; 326861946; 639320396; 658648293; 528666626; 506449911; 330783890; 368306108; 940985299; 506266932; 1070025838; 401206691; 72722254; 140006717; 652038196; 765024443; 77888691; 684336101; 268181097; 761580742; 280002522; 314154474; 177936060; 765454542; 699353922; 490232202; 402046750; 760080260; 342429550; 388547346; 191928715; 823980446; 856514875; 838522533; 496502355; 1028798744; 788138051; 914824516; 1037282830; 502725806; 304993183; 328173717; 948357368; 1022637452; 288762525; 751026883; 900484039; 331611280; 542256525; 472296320; 177843346; 608393631; 564733699; 2427725; 982913569; 950848240; 716521055; 447329071; 824411370; 256220589; 553541880; 606042789; 875890403; 1050311317; 859565101; 320563437; 454011631; 466699106; 597274817; 962609955; 1009917296; 500517699; 723511627; 689195448; 245213879; 638825486; 446020950; 323037487; 361294168; 883844529; 932688654; 327111211; 164193364; 676014624; 773963473; 511453789; 392747490; 510127173; 9957283; 344145170; 1039230671; 432442647; 798228654; 794208012; 352617017; 737755721; 173817985; 224651572; 97677311; 188997603; 194934080; 182625374; 315885666; 1025254460; 172124652; 236119152; 313227804; 549033687; 1042047750; 864394903; 279812048; 112168024; 689412015; 595500245; 271063028; 514089108; 297487983; 820347781; 499338638; 357174811; 745990859; 311564553; 585232037; 313742504; 911121469; 503724102; 191703383; 564199181; 74951068; 274871025; 500755817; 525890252; 303218660; 601930438; 931644479; 10734852; 751513852; 267295276; 118077265; 609256961; 780622675; 809280506; 688410694; 413037226; 829822621; 342032386; 427608527; 803886857; 158371216; 39140459; 797450678; 882004271; 328374424; 242303652; 762043501; 207409223; 774216830; 211803230; 437618696; 718609533; 181331692; 194894671; 298499920; 126191957; 332265505; 592182781; 616512026; 355503503; 273670046; 235410546; 408993594; 671784328; 112943589; 610307977; 374740973; 1022045301; 1062835799; 266149367; 135738528; 355239744; 634674908; 873030188; 165162356; 517506209; 458165738; 924926973; 204155061; 746841239; 27424370; 594506378; 50316036; 577139648; 131560511; 441753959; 764839510; 269017091; 654878004; 1008627727; 578184903; 618726534; 66120294; 45795833; 1032536720; 455840330; 844247448; 304480768; 171822288; 633211992; 32024712; 756402530; 706937034; 91816418; 340411285; 783335203; 360491406; 506672978; 156088178; 584383734; 457177775; 382983611; 456036763; 152155162; 291980061; 483130496; 876842911; 570035949; 1006960421; 714365865; 85238713; 755369107; 348479457; 392384807; 841401474; 92140905; 89012461; 421591411; 96599457; 271227520; 414488941; 307659813; 8207658; 285635812; 432288084; 847133255; 306084910; 805368057; 851748574; 528231784; 313068754; 117917386; 62720320; 335128839; 819951135; 517126964; 227200635; 476474194; 926418673; 1058922135; 595237826; 549741037; 822372030; 883678602; 706902805; 256009063; 393103699; 645625994; 428796938; 109548657; 186198610; 922536495; 1061868151; 157056376; 861895848; 666317845; 231417439; 807287368; 696708071; 25255493; 149005456; 465118256; 631466100; 507354740; 854230257; 417899512; 1052711380; 940042062; 1034957829; 900018801; 660333452; 933439034; 86208000; 278147481; 195129921; 902750326; 445698205; 622676210; 130881540; 619998138; 468190553; 576341512; 175319599; 1047683961; 170021376; 154089110; 432095236; 208994543; 592849667; 469007476; 36154998; 600504265; 112926311; 356000528; 147688311; 992095864; 58133533; 665156747; 150924563; 163204763; 1008381582; 904227591; 563035579; 334371054; 585071159; 92579272; 278423858; 83040758; 993047692; 640500571; 866229310; 857311937; 94970891; 56686452; 260957282; 231873768; 373832465; 887771144; 935917046; 184258927; 684594342; 81539705; 198143845; 176607485; 446704507; 531357648; 777837084; 546245714; 181710466; 499137705; 143841053; 390002389; 648140345; 758768258; 1014984850; 430694277; 202122768; 607195799; 942952960; 276127623; 985735071; 287019352; 659424631; 943382275; 41063674; 297193346; 920061387; 486369313; 374229555; 463702322; 1047040407; 407449608; 649177727; 743797350; 663942115; 675935231; 1002340073; 65232415; 1027158377; 460455044; 897782541; 907726622; 546529875; 48537668; 389701334; 918588348; 175209098; 929543311; 183587390; 1044038395; 371446552; 500149378; 224723368; 48614861; 463991563; 31544287; 487162964; 404557001; 378928706; 952628661; 1032653349; 259139965; 127528941; 640528640; 610378299; 514084146; 419308479; 994305217; 925539837; 105213848; 488676904; 282965274; 310468294; 213450030; 472456221; 290197334; 630585149; 69223620; 773369484; 776081443; 249684396; 932877803; 418095852; 144414046; 1040579590; 626288791; 544107619; 525174858; 641358230; 910149610; 767842765; 826216071; 170776437; 661465857; 1016274898; 623991020; 327597005; 81734730; 149467264; 79281007; 755887507; 878655772; 249124515; 122385955; 476465966; 505508884; 248461642; 234962567; 1040428047; 618178439; 575262045; 304373155; 788565720; 173210491; 1062665596; 736223406; 996113183; 978350164; 824533158; 124421554; 513174536; 234354528; 240768109; 146124979; 564281100; 64546195; 630669815; 444298398; 619218110; 689670752; 680246423; 994558382; 32615039; 908587059; 283180383; 526071414; 884760053; 148606641; 338270531; 804411093; 779444202; 613079579; 763101950; 53038615; 96551375; 691404157; 354713289; 420383968; 20133887; 301480801; 410203652; 764819119; 769399931; 120603426; 650722135; 801017704; 689997942; 701360893; 254186919; 779793851; 657430038; 887843479; 867967424; 205538804; 138354481; 289262170; 1048353694; 369793126; 224956069; 233806904; 1045929141; 820039215; 1000038386; 689455367; 237792485; 47782253; 930000816; 881303442; 597135612; 425527742; 333958360; 305551343; 298851770; 461371236; 951609645; 1016725154; 177515766; 804338285; 299526249; 299850242; 547085730; 874527047; 659019825; 231550701; 556621942; 124885701; 917103130; 673261326; 1037875432; 336208005; 6901412; 361151687; 598393749; 717840655; 762041763; 997491393; 198031813; 1060692077; 608654323; 16644964; 1020247160; 145995327; 237025725; 23583521; 837238289; 419623051; 503083848; 280300496; 847519858; 1026090128; 961281893; 309659831; 907537921; 436388635; 59063804; 649732169; 1015279568; 302078459; 677319729; 596743703; 750668013; 357895222; 762415049; 146467087; 1045835730; 1053203870; 605015135; 455783968; 139933157; 567464851; 861619591; 650209842; 456935604; 318611437; 292515198; 388598729; 391164429; 654951716; 421464679; 137359418; 659844899; 96044007; 645108940; 418781964; 543381457; 4146066; 699693491; 122892350; 745332724; 189365751; 536090603; 127140908; 61531405; 440699997; 244846569; 864269483; 1001051194; 1040823040; 410386312; 1025865236; 222806144; 180872676; 659551750; 535576394; 990483532; 986153391; 933157717; 83745846; 559328217; 327837618; 522280886; 910865353; 969004051; 432973347; 971258648; 151511939; 318183079; 760369650; 767755668; 712674852; 344799177; 534853638; 513455674; 242966530; 1053744714; 7468986; 532761952; 488271586; 686830839; 239775147; 670078304; 350549920; 721826090; 376660305; 1019680448; 331591691; 1063751511; 69486704; 966458325; 1053088927; 717895049; 1073682649; 461013177; 851646588; 1018622099; 1051663323; 900254454; 991771859; 242843598; 977210734; 965527856; 650325134; 726720317; 1050960547; 817459726; 411411929; 169760386; 392526616; 527272859; 838123815; 283171566; 1006452565; 927209547; 664230771; 871799577; 56079725; 957183109; 609208625; 598897334; 837437136; 596663582; 617942279; 752813542; 57890840; 633465915; 302460623; 557520280; 217626087; 285068696; 249424268; 622762688; 520482616; 348588149; 210157350; 676136193; 818712846; 600478717; 16920190; 494251020; 1066549860; 52653622; 415669872; 734150181; 276662621; 624042077; 943108797; 415520492; 512301230; 737401107; 714560668; 802866989; 952199285; 709617759; 6062620; 5362283; 737542391; 340599339; 74611070; 763607388; 673625681; 1043191021; 92304325; 442396045; 86470997; 133544180; 868305573; 979085857; 985188360; 354653553; 118899380; 822842126; 294230228; 746918672; 606477458; 914162568; 607857919; 715893510; 987635992; 294907971; 229029460; 544706481; 977710001; 893436315; 760765144; 57604246; 436112853; 885982841; 412171908; 896410609; 388327604; 512519094; 1003189644; 436101921; 380189041; 804641793; 1060094442; 61790186; 293528891; 10143865; 837283631; 859213690; 935749717; 151360637; 65598314; 382682541; 908110381; 222868991; 540774702; 389943704; 237769889; 455633321; 1019197964; 920112681; 69811476; 1067039890; 173088254; 734912804; 458538758; 915453829; 1033893178; 726170405; 445054199; 13662763; 9480592; 607982289; 703298148; 835279638; 298246525; 22243278; 878023602; 692624027; 147171756; 1064531052; 833831498; 863904706; 825292672; 262385537; 634046231; 485628967; 490787989; 813056381; 971847593; 1040135956; 1031278395; 339233841; 816310776; 415345330; 172471307; 832185967; 47979221; 197317909; 537595890; 588269732; 315841875; 529516102; 14129592; 66239602; 290539915; 382421137; 259734; 334282613; 325310747; 572266728; 526573140; 231372912; 787603614; 475335817; 744919667; 96827946; 337147341; 504299541; 382692810; 874034715; 757816746; 946853611; 748587869; 853231068; 118531775; 658035733; 1001475124; 631149049; 450820205; 573080806; 807927519; 912224047; 559102608; 93095826; 639590717; 230017183; 914899902; 768138810; 536781051; 734871676; 623014716; 425144854; 868927612; 12185404; 588439554; 43440358; 496781417; 264220289; 711657570; 681166326; 466990778; 846767492; 773203616; 825609657; 445904077; 680475479; 961751444; 159490725; 225527690; 788839023; 234402449; 922934711; 506058722; 925643369; 856459387; 211982564; 482225749; 549895517; 994021581; 528200543; 130625493; 1027725820; 481161991; 97314246; 778769285; 756843435; 939580820; 673181067; 286864864; 1043473847; 676506158; 1502894; 562434185; 375275551; 333254027; 610137353; 650467951; 337960047; 227536728; 341309552; 644568984; 397795437; 362663682; 996447293; 938144830; 415443978; 143078768; 371750699; 59628377; 674261707; 232331861; 582441450; 252714515; 249009037; 589332073; 98908807; 217707124; 980097061; 613269084; 321137354; 582534759; 850129164; 588229153; 57172548; 838967170; 1034579706; 746012542; 615849921; 293397230; 1065975237; 685632712; 522125013; 807796276; 362422217; 357590294; 562124139; 816482216; 929439047; 338547513; 45252236; 702205258; 251944159; 173786224; 219979997; 53339446; 700599133; 973773107; 787544732; 338038621; 728407261; 743316080; 314561908; 929077575; 1045049630; 289598757; 327437298; 1072993144; 152159489; 6244390; 871951097; 626593687; 126202381; 14606736; 1053864043; 937237280; 709658125; 778617643; 686754438; 827948206; 745440566; 10266208; 957571351; 819805794; 252548303; 956098819; 7563104; 362120572; 665088621; 574331334; 749645418; 20200288; 160653881; 5512495; 247025262; 12727432; 711032724; 123269976; 967025023; 928230550; 1023846939; 845760019; 235484393; 975227255; 1028208135; 320301498; 647694453; 191669257; 613049086; 461411358; 867238446; 79885076; 1060872056; 877081671; 757915753; 242382633; 329003062; 151585730; 1049914500; 1063488522; 533995979; 92616339; 843868080; 79368313; 94265123; 475333316; 18369548; 513133539; 484462959; 723979451; 784330570; 276041066; 1063022356; 337180544; 984211694; 56567158; 141209952; 728842116; 724067250; 1024107848; 966013933; 896524111; 19683413; 422003039; 649843795; 252788265; 26004690; 743052445; 194999079; 319892575; 209007835; 628713913; 684441385; 608216813; 506492617; 726219878; 597689549; 518237691; 771016341; 869964290; 4675739; 792924076; 523832508; 666720092; 57465420; 845294125; 214071485; 70623527; 1058590431; 238613190; 930147888; 245032306; 357334391; 100352942; 1068597281; 835134746; 839569509; 1013393360; 865759587; 609964521; 3747212; 308266664; 563575818; 645360036; 279728487; 722786305; 359161051; 311377931; 300184178; 145866057; 185652137; 747169600; 567613721; 644198804; 590072041; 921486141; 977706874; 355650567; 773170466; 937254683; 188958830; 467586528; 288009431; 19000488; 836910237; 295610691; 408818581; 525607613; 693200342; 817979671; 492253544; 899397299; 243743313; 470757692; 903636465; 20269100; 24114772; 140523896; 257958893; 809942231; 106461399; 32412498; 135184000; 618245686; 483046855; 225897065; 540988970; 845502773; 141826680; 660472276; 168129606; 748332134; 487846816; 675353997; 970114772; 592618048; 74523334; 640061962; 62478029; 94704935; 314071595; 801480503; 529000064; 207094484; 622050701; 349953394; 547607228; 317175969; 249381055; 171021457; 588318065; 951096394; 500466993; 986326824; 398621697; 558486248; 1072471839; 730955492; 1017475018; 291475614; 158343036; 343718663; 836528203; 421393952; 412030634; 464735820; 371828147; 785382522; 978546858; 922267931; 890505126; 498751519; 315476042; 115244503; 415361065; 431414084; 1037794411; 762706023; 1070380807; 885411951; 364091547; 399339438; 641754579; 173171824; 358749350; 914622159; 1014166908; 357781953; 922086421; 220447526; 75534040; 152205493; 536570581; 309022596; 470620614; 13258383; 487609773; 778732140; 484705091; 365706286; 849306878; 599441855; 409920013; 975584761; 499543531; 262912628; 790840880; 464845129; 212897577; 792618087; 631703734; 694610620; 817500173; 1028772793; 777555889; 742635786; 165670078; 388320503; 291492313; 1055624974; 30323749; 675473357; 456835122; 499323514; 534454572; 982760680; 839537689; 611554192; 46745246; 839738048; 890635428; 1070945674; 133014261; 676358773; 103813060; 567980569; 54391672; 979593424; 487517022; 848227819; 486028107; 489276825; 929406766; 1054523254; 76023420; 998652481; 651563731; 591353390; 971701438; 483463340; 21122352; 521803139; 551635532; 640432476; 887183183; 196262584; 733934434; 597573016; 141929056; 238627485; 134077397; 81781275; 736593580; 1040582319; 688310548; 445329144; 114925222; 687695624; 109770076; 730104259; 103664785; 563093918; 732474092; 794324692; 357652404; 374139752; 888117793; 329468317; 809288839; 630135518; 1041447816; 865613380; 150008613; 173984591; 732383007; 390745381; 797509228; 893497432; 560503715; 97566190; 136920793; 49013249; 830315779; 572865626; 970562628; 929913893; 1047152220; 631518486; 1046647466; 884105768; 733707538; 174292602; 176218949; 758445734; 393833076; 229196235; 1013601181; 1026906824; 308516013; 147236992; 55599172; 657297045; 977758268; 257330645; 208187173; 553805443; 78955422; 584779646; 377513514; 451028553; 139505153; 822990830; 110415014; 530528585; 591349049; 178587297; 295838624; 998228774; 642448531; 1012277805; 810370860; 587931491; 88691644; 1059982669; 49136231; 924219182; 360434118; 341333892; 651021126; 775282860; 63817981; 1001548984; 571231214; 647923967; 689119526; 933947763; 1042553807; 132193732; 6261593; 157050586; 535554545; 328587476; 523706906; 440213380; 347118389; 897626292; 919129073; 486306358; 377267915; 921050565; 1024141144; 105077752; 426501036; 254311066; 517086280; 900308765; 441900211; 591588724; 940738691; 74929624; 508014848; 23414541; 279366806; 238088467; 662202231; 67457727; 615575593; 440160068; 651011487; 958325355; 486989403; 1018260608; 5380109; 875924767; 344260978; 924208325; 274721821; 239205756; 659026254; 536213965; 881668911; 391268416; 325516241; 596667224; 395421076; 783745613; 67550053; 540522364; 1025423419; 335368119; 793300265; 9861574; 634728382; 623202442; 690622391; 573604692; 25966988; 399997275; 480728235; 556264862; 812557458; 1033737113; 303755328; 380155843; 433013726; 154752051; 759948292; 922891923; 553849004; 535746514; 458494901; 506629172; 601924053; 537063803; 196175695; 646893055; 534333188; 829732225; 887007248; 80279190; 401316122; 749929030; 144580753; 824421966; 329395734; 115235394; 1044244528; 213555660; 658281565; 725380032; 509302870; 886258591; 269594701; 91599562; 116135583; 456240577; 894291715; 11472906; 1072871906; 94840632; 630353412; 575339451; 148275412; 976002975; 840836165; 170404077; 872717148; 866563679; 1017371483; 947523050; 971728543; 20125236; 716486606; 505894858; 680691184; 69223748; 316563333; 369512464; 532055275; 328378554; 278340861; 378238664; 959382720; 787972475; 688549786; 333619152; 244746843; 858692104; 198164666; 217967174; 887830685; 957621469; 510937198; 299483078; 972271641; 820983640; 949665582; 813502667; 381923831; 587158278; 1045563094; 214931743; 804658905; 7636210; 857134908; 190539990; 422157014; 274556759; 694305943; 711184495; 382975369; 492066515; 827974163; 665675406; 677766818; 445633644; 715721355; 53956821; 626619554; 41948156; 195425614; 944182892; 555567213; 722307781; 227823798; 61893822; 1042141244; 837805178; 132985567; 538201922; 894158944; 1058714029; 217760186; 1012471878; 63272615; 593148389; 407406068; 685406896; 894249882; 11649754; 159136104; 909675861; 875340470; 648074786; 813651545; 502129584; 836122684; 298119556; 779765750; 1037450861; 508753558; 180448480; 634932495; 362782202; 930815320; 111900495; 552574994; 995721468; 372508269; 612274316; 1042830327; 877462386; 470620769; 1034827408; 80532924; 112508501; 306489629; 60504534; 31859539; 869430494; 235666928; 954180133; 801629899; 435476; 1041344391; 977977850; 378339884; 255138102; 210591736; 979831490; 433286011; 310368809; 542057247; 666033285; 801765821; 115989547; 634045241; 912698160; 629735149; 267832054; 250570542; 858675324; 57022337; 168476237; 782725525; 340429515; 504686967; 336869536; 116186300; 59368579; 451546385; 881486884; 867137629; 347820525; 1031262062; 505133600; 562404174; 903174462; 123225196; 268129350; 1021263549; 772992625; 720258632; 954108749; 8799105; 601857038; 284523611; 168180886; 1009060657; 158900868; 585633474; 940221791; 899909074; 603653411; 548428916; 1022484039; 434938695; 312992082; 224580090; 810588492; 865640611; 666673777; 641891809; 16610084; 61012766; 386335128; 993560698; 73794471; 886508727; 538369059; 357030887; 41069523; 205864361; 994137699; 1011312714; 25424144; 1068895758; 82751453; 569319977; 915716833; 919330509; 388722581; 811786961; 8469578; 706546607; 167659126; 692148463; 204060895; 248905501; 991393310; 500319025; 530993325; 134608272; 805939274; 979922731; 458398542; 493885852; 689619099; 889355406; 746693042; 221927027; 1051647734; 859077917; 252883826; 804926042; 50182281; 642817788; 194428351; 829755471; 897422596; 282856795; 656779992; 429391177; 669921974; 823686059; 755192507; 336290481; 890588537; 993683396; 43265006; 860810509; 872238601; 413554387; 929773487; 632541065; 91516025; 752087861; 1052703320; 85251889; 754796929; 138542961; 411658252; 869627580; 173434775; 87967552; 41258240; 779735846; 223985739; 291447284; 668294310; 747271817; 625467643; 40571773; 60333897; 940053392; 125205232; 982936933; 951369771; 937844746; 259842874; 457103147; 948001453; 118594216; 116096489; 380758777; 652675852; 585608484; 234365869; 813209702; 704374325; 203502145; 425787559; 280729931; 863442747; 669807929; 1042829190; 417813103; 933597043; 239999194; 539297752; 146525994; 181138700; 651171181; 689834265; 528917099; 48241386; 717447005; 398054564; 680172982; 240361780; 982664684; 379278047; 1016491352; 49155188; 790269652; 41548006; 253646484; 19340443; 54458795; 308446211; 338867195; 659513594; 664589686; 407642142; 102120779; 955240453; 129467633; 103523342; 964252770; 856089509; 922548169; 392332558; 319964058; 141337855; 128591244; 995132616; 800350132; 1007829253; 531476973; 962626690; 972155703; 568031418; 189507629; 755046133; 781198751; 697967149; 582199190; 42636510; 711212005; 637582072; 6071574; 74343990; 871050896; 954094499; 1050003585; 595344666; 58165151; 960840715; 241664468; 967956307; 227479585; 8946478; 233637169; 495529794; 200675029; 379177087; 917563884; 531979659; 464344328; 109996946; 954861758; 890241523; 401230726; 85651341; 88701587; 239750401; 1050662385; 215749295; 634924994; 896513087; 396272267; 34293212; 908319072; 632393331; 670083772; 88301835; 937407849; 473076908; 430124039; 467479337; 248247801; 766894476; 44555557; 517242236; 1039637293; 79819488; 691061500; 535508738; 1063813148; 518677421; 426801549; 162062920; 384750771; 622566384; 869331890; 398702480; 656121862; 115209447; 338848737; 767440656; 270609200; 790302078; 106447186; 526588293; 53498055; 748528267; 943616200; 718500488; 191233384; 696267709; 1037707526; 97329950; 99748902; 982005194; 551129120; 665133700; 660230069; 97526; 1026725003; 334855440; 613946191; 152668472; 800772745; 664972745; 60163982; 808478954; 895978216; 996257541; 665316872; 535224236; 837027831; 874176396; 54109956; 520108341; 1034531377; 1018039807; 95795714; 1010454335; 934625915; 136187532; 272258180; 327168049; 956218493; 413747584; 375076222; 384263961; 779717118; 395115368; 730885886; 97146587; 1032858786; 318681944; 166853497; 343283761; 502513384; 1013160338; 314249463; 512767211; 327743679; 540796371; 336715166; 440050824; 928818059; 713820165; 941701073; 1001576686; 653809897; 740209338; 47237202; 408167458; 532054193; 168694764; 619360305; 326880810; 7235260; 35932154; 363060245; 273777362; 793183929; 55654688; 1039067751; 932041787; 560031347; 975501995; 740762641; 675071756; 121156523; 530663321; 1023982320; 860458931; 516817023; 457065466; 894686386; 710873020; 68864934; 961406085; 400537689; 764253557; 705016821; 824226648; 720901552; 661890537; 378395013; 833742169; 367051508; 518779304; 740373083; 1046893939; 401106534; 172836123; 806572796; 561659537; 604180966; 955927404; 158319414; 220806016; 522326438; 665221085; 24596655; 720224760; 845699551; 597034922; 57156608; 386114799; 140950606; 141215349; 746924682; 347369475; 711858819; 894995201; 394879041; 983093984; 484505503; 369787433; 1058037241; 378934074; 830565731; 482484517; 248950017; 860048591; 213551549; 1060364014; 65349535; 625921937; 227718460; 459945073; 842335946; 139602241; 269672578; 480842792; 685871773; 591593727; 116354601; 322218118; 76842333; 949719044; 88771812; 1069342305; 620771688; 863491533; 462853515; 961933338; 623492565; 1002263468; 710914714; 416058737; 959000007; 575939598; 317166778; 711302897; 888985298; 286383605; 664254073; 584986758; 680847999; 948174039; 464275486; 531707458; 1025135172; 339472830; 321892062; 723682574; 448161982; 845449140; 828858214; 582760497; 898684035; 124568736; 312753556; 119745654; 559200836; 244120139; 426261095; 1060411226; 379685862; 730170831; 435528012; 1001601511; 838444548; 40812997; 228448087; 80686316; 500623200; 653833041; 290088536; 254819034; 1384107; 266392054; 11946219; 328392908; 830120246; 813501570; 551383414; 1024165277; 775787593; 1060664743; 79161763; 1058721348; 958678683; 347149687; 303051352; 497987747; 668521286; 183009077; 274291909; 864893066; 276908466; 342012901; 671839586; 106204145; 455101669; 924908929; 823479557; 497058612; 613084220; 387866594; 538508710; 426919553; 610305828; 639388986; 708943832; 633352083; 739909966; 785764238; 647879704; 31750206; 546237507; 486594165; 228002067; 166169510; 332007620; 900202364; 578736507; 608880932; 681854990; 879236094; 7382160; 928092988; 206464568; 1066091793; 42673608; 314244258; 898103883; 623234155; 789771500; 645918108; 1009301255; 110497574; 327799082; 703602136; 510636760; 415716596; 626202798; 453207330; 216850266; 890558894; 229583956; 208400147; 713303608; 588727511; 860012551; 95467923; 599800228; 1062935393; 492758273; 383421625; 656241004; 480082833; 364980311; 161836522; 781131822; 71663613; 72339260; 623328386; 792111278; 985724510; 1055339369; 921972117; 996610392; 114623401; 222631775; 979900705; 80921083; 967046505; 177837276; 38759930; 989668080; 417927290; 446963719; 212114988; 1064383537; 816497242; 841509029; 589159093; 646781024; 813916633; 896448592; 1069467687; 453551697; 594080895; 301168400; 320887965; 374274885; 349601606; 144182001; 56369930; 279695030; 632936155; 1041193920; 226914967; 835540015; 8975056; 568035518; 1042409070; 269109979; 1044159236; 971028665; 383825988; 769267150; 1052077106; 960122336; 422294438; 650722482; 1063954707; 213933660; 322659545; 1056845482; 64322657; 691273288; 1054435680; 899478347; 577752777; 1065672711; 569124483; 1062486093; 117608176; 405275400; 410426898; 198875793; 409841212; 690265938; 641109640; 428860932; 700551787; 149557235; 600958791; 113794143; 149047093; 803058381; 416356736; 53507594; 866727968; 645406786; 405314802; 633799332; 476399140; 133535272; 660251310; 862433285; 374482549; 414212571; 226191552; 308065987; 339840959; 398953455; 12685555; 55687719; 52456763; 310156600; 138639751; 182518951; 489761430; 797025816; 812776015; 104203436; 275952541; 1024874018; 436281393; 361525169; 979210248; 264015118; 643817536; 249314306; 513184108; 731789801; 998779579; 482766385; 853396022; 277744454; 973317832; 551537620; 13961076; 848919469; 68453199; 970218822; 907913607; 945988162; 229163963; 1049695785; 759545714; 51596661; 260068680; 226211161; 629478813; 900950218; 1042622966; 809941521; 789964535; 558362549; 739985420; 222867405; 730537734; 485238500; 1007995829; 725632750; 8708279; 541088999; 695502047; 480220803; 927755912; 426052540; 604753151; 339509829; 960932205; 848172977; 892791064; 1029636645; 1039886095; 29664924; 201636782; 819923414; 911541530; 289664035; 740168305; 55825966; 816876555; 360545849; 700957541; 786969678; 35919805; 483967591; 610745735; 588160633; 453136628; 891476030; 798257403; 128749291; 189612630; 620992672; 259193473; 24302669; 478594416; 49967934; 193131514; 1053131694; 930404177; 816653373; 720361743; 711459180; 65043312; 246065708; 704195528; 310666706; 880246553; 564916431; 581836819; 469185216; 305017745; 382880608; 616938659; 226564550; 647186278; 690766209; 993175168; 75735718; 593995039; 951326297; 968623543; 987718134; 39131600; 633121516; 558464247; 510822399; 933326629; 254413570; 936331174; 930963765; 337726970; 151710957; 205279991; 891800387; 368199842; 1044978668; 599154517; 233261409; 512108261; 890189988; 1012112287; 1031899403; 185189996; 984348105; 752392927; 485963751; 1043684600; 1005917838; 873907522; 484133508; 497023719; 182300803; 541203656; 471591657; 673032289; 925338421; 155254801; 388837490; 906136043; 878039336; 752941816; 556074456; 892578385; 122408421; 955665587; 642284052; 255443972; 970158354; 801798781; 923826227; 296796419; 244871210; 879286210; 1005984294; 610847359; 487784505; 141273767; 614756154; 797381795; 5019963; 376209844; 422054297; 194303847; 18590794; 379751866; 830132090; 680795189; 374974774; 955793270; 885046249; 538771546; 735235663; 19467736; 659322113; 232661544; 380306344; 203532052; 101264517; 660151924; 552025115; 948691783; 480712141; 241301847; 10250783; 189566356; 1060696053; 361051001; 199289761; 267939153; 817416930; 277671764; 484960334; 697140238; 313195435; 1069667335; 722507253; 169840574; 554945399; 971734561; 1026240719; 526226017; 301823112; 356647359; 1018391356; 283663952; 403394521; 51381855; 593755243; 994087957; 14402259; 1012581780; 329096274; 794380730; 180686858; 320439326; 114935796; 275754623; 81060069; 982833503; 417272250; 332902481; 428433661; 799870511; 947727638; 316973287; 80641105; 122562401; 330811685; 828602170; 41730046; 538737863; 389701991; 908248111; 640630912; 30780066; 1015535577; 428558756; 561749044; 720746911; 78574004; 954371675; 359980285; 773375881; 460699412; 75735087; 942330461; 788389257; 838124875; 758713722; 699742701; 317946927; 215204199; 767530875; 789658680; 813882146; 332304101; 366163573; 590165509; 464908833; 41024763; 649944667; 391657524; 507358058; 832330123; 1046667275; 843770222; 837311313; 363707050; 28269891; 299283265; 65406897; 190989325; 715891779; 21381420; 220480807; 830873948; 491031005; 283847562; 896354132; 880035355; 451784656; 749661600; 648544900; 836813259; 1072490637; 470378462; 510074816; 74938499; 44994909; 358197242; 489515125; 444468778; 775617371; 560423773; 51891789; 985532961; 252809911; 436770508; 382009194; 330560227; 493920447; 110822013; 1055905233; 447793890; 425703726; 110551733; 914138676; 76998607; 353056259; 336983385; 297916644; 613310847; 227312388; 176510450; 568264218; 860684761; 267364426; 889157589; 326674341; 1013557734; 657444685; 261432774; 631603017; 517312698; 763607558; 380346943; 172254037; 150014710; 702304360; 130451504; 998702221; 309351311; 118921594; 361814176; 850877900; 944496228; 783375320; 272878108; 673672428; 131698766; 288343067; 582217669; 166794573; 162224663; 634579643; 586155202; 497393436; 316612944; 831066124; 535243632; 424887101; 681223056; 877811317; 306894568; 466456837; 853368394; 456032404; 7851219; 430217817; 880420407; 654905260; 867802016; 81459350; 1044491723; 394388310; 394261862; 997816597; 610613127; 436492348; 271263101; 457464885; 212722763; 119999000; 535650520; 393932307; 30306276; 976868955; 847787771; 1011544788; 85031503; 975612703; 200177867; 217188523; 215025034; 722881372; 334197887; 512066332; 186149645; 695947066; 90312207; 778936092; 248331142; 537387443; 887683151; 376318089; 830076838; 954865806; 296422681; 881239875; 1045245143; 673245938; 903987313; 597842698; 654340724; 44393981; 287468359; 502792910; 313080589; 697043439; 717864386; 137455116; 329061951; 674817745; 401244742; 547881338; 60342598; 767104241; 573560972; 118935043; 238843687; 1033146868; 368106729; 330168793; 1041095400; 969192904; 39257410; 1035167319; 77660837; 148210576; 964518222; 628311305; 64794564; 416173843; 596930492; 633925645; 516436436; 941145223; 569543021; 865448792; 315174496; 525715971; 875361065; 794735686; 967488380; 330626142; 946234092; 265279304; 12642565; 791402104; 148954355; 661577836; 317403923; 576774934; 645622724; 541408160; 519822052; 995599341; 190101212; 162024914; 161265118; 942453776; 934576487; 343898401; 197074785; 912471485; 474989319; 917334125; 1023611332; 555295301; 1060191059; 918110642; 131756351; 618563809; 768676421; 401834740; 65140468; 963588751; 648547305; 189734286; 1060048851; 392014273; 359745470; 166984448; 314706799; 1036735212; 767179582; 500373016; 715771157; 314092490; 699206982; 590299199; 590208512; 338169438; 186834365; 72028990; 881452389; 583046677; 811368100; 51420656; 139267449; 604282784; 336509618; 356528889; 426334952; 631471252; 639103282; 747890000; 632775958; 207765752; 322190302; 814067432; 450546039; 960021526; 765805992; 923855297; 671024493; 653135041; 496136452; 772630858; 565060060; 222050106; 811924309; 1058737250; 883355484; 777884178; 281967493; 322821889; 177769954; 763659513; 484348124; 293535671; 953071424; 834804601; 751198816; 918803850; 64358512; 745632622; 960236764; 704549223; 79543775; 786669696; 753587508; 364641721; 889964385; 202668723; 409490899; 416423550; 73934114; 374587700; 182299637; 754315767; 1073173592; 640543367; 352269518; 137384406; 554380921; 1044082994; 815667661; 24365651; 854646504; 544659472; 921725207; 604321762; 565344833; 214057932; 53647777; 878700967; 246147998; 432129387; 496005630; 947865518; 667641154; 133265927; 773571670; 115265044; 733856347; 827821127; 1026226567; 361219759; 946228339; 527685950; 435041457; 516583957; 493007280; 766197394; 930351264; 186907168; 491857771; 874560672; 461955423; 493856822; 967907138; 708195727; 255146547; 728429693; 913037566; 952486451; 969331706; 719169614; 718408987; 1071549147; 883639905; 775980440; 891289538; 854182432; 736835218; 351682980; 235126803; 923487426; 718193950; 700316679; 132450574; 397834367; 918894528; 169954099; 968575545; 1068081660; 178925814; 382527900; 185354516; 34555493; 339241393; 268908179; 332564465; 133691430; 443901993; 530020716; 340118011; 218764786; 690185182; 621099353; 612463402; 44528120; 675563892; 464098580; 1024952232; 782025550; 234703439; 401673558; 452037438; 92031808; 181545919; 793368082; 685685171; 543124427; 573670506; 206170395; 928833265; 355385270; 66852085; 99988247; 657587444; 673235076; 155479365; 490365712; 208191487; 1030664759; 597927267; 661499416; 849267973; 699026938; 722319569; 407356243; 345241160; 1003401127; 853589134; 1031785908; 376667581; 370205100; 1052435904; 332317694; 699541763; 651689815; 135280365; 69317176; 889257100; 804989262; 764680043; 570174487; 21165167; 274536572; 195199775; 932759605; 825899672; 892230188; 575313147; 508473528; 252918049; 804075762; 549915967; 192046136; 905583004; 477133091; 444475701; 128879169; 1070658463; 858782547; 755823710; 127435537; 849681547; 805275834; 510656690; 336932542; 546792229; 19515960; 66207773; 143079507; 645973097; 867914252; 17082462; 864013837; 120505757; 661974435; 981067119; 991732734; 453201238; 124720225; 986126593; 377576371; 256966844; 1030930045; 246743852; 74728232; 562838261; 653444366; 143342296; 359630081; 813782179; 114407741; 455931448; 596854147; 362227854; 248261701; 773714142; 167914431; 176768160; 853178505; 465561829; 859586037; 547776942; 413886094; 26850334; 542304152; 798058311; 865152051; 37389205; 456633287; 339304958; 468759632; 417107331; 965680917; 723248438; 846554934; 302641013; 767371364; 522057315; 812527240; 837737782; 250837554; 421550409; 865527343; 269535937; 450788583; 278051886; 205137063; 534388294; 105824958; 535374068; 1062360283; 426078616; 649802670; 961571065; 262804773; 884763339; 108619363; 293932818; 699273877; 737271741; 714535339; 161497342; 671242598; 1065324030; 787585334; 575622219; 876120160; 951829335; 85541337; 166492675; 496855130; 971091909; 215959519; 957334356; 748547363; 610856958; 501058467; 625447779; 62742239; 814503771; 392379068; 109100076; 382807700; 361174153; 350490865; 430715877; 210397764; 311353978; 258467309; 517989393; 273897459; 355670608; 673606237; 940084995; 843630151; 525416422; 930518563; 528600691; 296591901; 692461713; 497424623; 615161298; 999397808; 863846888; 334075707; 357588094; 785331621; 650655411; 162446610; 1069712216; 1020382494; 129969111; 669828952; 501340009; 358059438; 25732286; 235709546; 327268665; 565122317; 894145564; 1055729700; 33118164; 819022409; 919987831; 956637605; 559763486; 278441130; 452813983; 732363522; 901893748; 275438505; 970807706; 956145426; 76288463; 450494341; 219058361; 236703579; 974174422; 667729851; 11661051; 157980096; 821960659; 718832842; 106304971; 596882454; 700687462; 796178599; 151624394; 16311156; 347514325; 626998673; 380278660; 84708591; 670656723; 400604502; 781348582; 152457359; 642182965; 244198902; 704873231; 1016755519; 896528700; 341879658; 220544256; 767915279; 513102000; 715596218; 414960696; 561711156; 416604661; 997907913; 938731116; 1020166084; 168000130; 973927374; 541216441; 1057838201; 760315532; 632799197; 909906031; 230818099; 14226990; 315170730; 34598524; 403064812; 749523577; 974871663; 529528263; 825720413; 562917757; 441031678; 835121985; 879443523; 356572439; 99235474; 1053204733; 288837016; 135508845; 519240159; 916440096; 47177707; 492895403; 320028201; 613030481; 499031878; 870235751; 894660691; 986840878; 144557203; 264852412; 778636231; 847164076; 608236435; 1039716785; 727300400; 643578300; 653657064; 746008917; 201512854; 950761858; 107445199; 381520273; 203264391; 345601123; 395760896; 640529016; 236295347; 126691777; 13535899; 946868390; 650919448; 543047166; 441140626; 799517447; 510736305; 1048067053; 838612744; 809128750; 691417491; 443737650; 640559306; 280346364; 730283129; 103052859; 1011301584; 772909353; 64940844; 891181853; 1687413; 248050249; 908772360; 907470409; 598609229; 1063729963; 672276411; 679098028; 487914660; 480880534; 133262507; 898255894; 705385237; 709198121; 36013520; 310693963; 127809711; 650724277; 6659383; 585507127; 184784826; 804226806; 790655753; 939345896; 908289740; 143310008; 953663576; 989272357; 613991308; 774365364; 189818186; 454292703; 703250799; 617653783; 157272212; 675497028; 927703827; 457695292; 36761306; 638505508; 55795152; 281117455; 625152232; 979185273; 184025164; 244152237; 217650786; 379390034; 194507631; 313241517; 3434469; 115202351; 450394887; 649998921; 872464592; 72823727; 425655990; 934638084; 595753567; 807607270; 993530933; 656923518; 762591248; 119100311; 272247857; 845180201; 755306279; 729918520; 749848897; 1025765724; 450044830; 53204338; 555776949; 586024108; 1070331004; 116930695; 423075250; 929647274; 944925831; 382781069; 352938807; 1049564827; 170090147; 649372701; 883042568; 1013376356; 667674598; 685490042; 547062475; 858934639; 843253120; 138561286; 79877948; 290671506; 147093816; 459694048; 390406348; 248386835; 773251703; 283278942; 546965748; 358209969; 706509657; 649206682; 122941947; 893257544; 49743282; 286396042; 473833435; 815132826; 659470770; 630077961; 492891220; 393950470; 823316243; 858732152; 447495764; 313020523; 227168521; 184105560; 1022822591; 7540503; 735600021; 713722962; 935162128; 894228649; 948348389; 739318693; 524249318; 1020579893; 1072006136; 689474180; 454473106; 410585061; 160021963; 789613368; 757377382; 664100802; 986187826; 190401549; 117109385; 844026137; 1055098661; 997461204; 52410610; 173205373; 1009317016; 156854479; 415281196; 1022954264; 704275631; 387783113; 588652673; 116498137; 224725344; 613314705; 447494663; 1009832784; 789850105; 243298569; 386787988; 356543878; 341593999; 907028103; 632561211; 352331762; 932186082; 1030420186; 1020488916; 1036993830; 457844956; 205541971; 266937051; 109868507; 129917547; 901251632; 880364595; 142253329; 307947706; 394122045; 295459500; 587560839; 162491466; 137129644; 409401851; 389531204; 10688112; 745808547; 393902355; 691855077; 287865598; 1050966960; 192531945; 396240618; 297193530; 681753392; 171817165; 556094670; 556613364; 898815193; 926979004; 526800156; 436492657; 154749393; 632281375; 1019074350; 48834815; 117126149; 928253052; 994823755; 1000673253; 722093583; 230047267; 818779957; 815412230; 420101977; 332630764; 437781792; 740241589; 233439322; 744607612; 531299202; 397612858; 272361794; 304308333; 708114399; 242639843; 575471726; 625809255; 714110504; 946448231; 295207353; 891881821; 895174903; 856394281; 571202790; 554767369; 62232915; 7793317; 843726496; 780281613; 587612232; 946661360; 204442236; 346135824; 715662962; 130410640; 125295773; 795886378; 1012708049; 228482438; 751289842; 740775520; 718409234; 684618403; 364996928; 148733451; 699675595; 283622801; 471394789; 933123991; 297393669; 691193979; 96216182; 108294136; 970656338; 1022173348; 184837635; 539956785; 397805218; 328884994; 572134647; 884804736; 629286782; 604017205; 310662335; 764823162; 523750665; 385339977; 943515957; 1044875373; 717177255; 331413799; 402341317; 340899991; 695783961; 615397752; 145709586; 100315756; 38421798; 364770998; 215972955; 889850712; 161905244; 416777971; 708015886; 1035022413; 341793983; 1060589574; 100689992; 611387145; 209574358; 267365198; 716793280; 899525629; 1000429130; 640830706; 54733068; 29957624; 945343843; 775111107; 391870298; 872930742; 215647240; 284460956; 686878826; 455618108; 484601515; 652737947; 883424985; 950103371; 677018594; 270954145; 254059322; 617253551; 414058041; 873308555; 889196749; 974945933; 182325130; 1039039889; 4722896; 1052292229; 400630419; 320263090; 84736373; 797269840; 405425782; 186810897; 740272553; 547881551; 824873154; 1051807453; 577896205; 693951589; 429376433; 906932907; 865111681; 241732271; 842744127; 831179588; 1048776492; 385816447; 871486434; 635551740; 866983234; 233555158; 1039712063; 4238341; 936499075; 601387597; 745934112; 571583904; 200783145; 483694734; 324757456; 871032872; 49642797; 302303861; 486411774; 995520795; 228212299; 1043390281; 1069348516; 76944331; 873117417; 246265960; 561994837; 957269783; 599137455; 816476263; 456449425; 303810672; 722402103; 85897836; 602495264; 698737605; 394344768; 480327235; 22231622; 396420189; 789020656; 597294451; 1024461361; 775683081; 29783171; 115988327; 17258584; 828026971; 838928096; 493417429; 309234657; 427573231; 918589206; 224522583; 509817133; 746860070; 442345339; 245304678; 270817403; 109643013; 951896669; 462498456; 347905260; 646563383; 95219188; 547594513; 17375329; 783931976; 841337936; 2788777; 358726853; 697875325; 617194979; 390001130; 1027626473; 10719218; 509806306; 329149920; 379187341; 624674945; 235790807; 538713584; 758948745; 496487237; 309964529; 360829037; 436812749; 713739433; 279275991; 984622604; 691988149; 858918041; 657332940; 252352288; 1015654324; 892948604; 655458745; 96829259; 911666565; 326351478; 29614015; 191132243; 294539920; 578917330; 828015173; 237152717; 364105429; 104656627; 850225902; 534075828; 908881600; 909047815; 1035090551; 972024762; 188288766; 709182280; 710210762; 613109837; 21137660; 63375333; 63758228; 301735091; 647165823; 630014003; 296322; 108360003; 1014714393; 36478002; 924573420; 599391303; 636569162; 173018528; 649939151; 276447236; 977139299; 923706318; 895713043; 676180475; 423630984; 866953964; 697274770; 493782378; 113944170; 619046658; 448310752; 893236342; 833936304; 653797218; 378849683; 945256246; 244734557; 1014980100; 252317647; 463537327; 252389855; 132898092; 816381332; 623597502; 185344809; 651040473; 533838578; 804284968; 291030951; 37820892; 316958017; 609197588; 142589960; 60221591; 720739557; 161911776; 754764208; 781109219; 601959195; 331127087; 1049042990; 400259945; 166975436; 1073220154; 271368427; 612597746; 927371072; 456581429; 969062948; 816728661; 162616050; 23029255; 128504356; 18721819; 936966592; 138284173; 300992648; 1060245365; 323898769; 579394188; 522431259; 778109885; 6750852; 99440879; 898612296; 803565023; 761749370; 322319086; 334435714; 119175031; 59056920; 998058345; 627166838; 550537242; 801968736; 964418942; 759487778; 1040678834; 229963102; 148256644; 372284382; 983042163; 716242316; 559456900; 476800350; 172319356; 265616680; 705604184; 671905938; 999805518; 782289449; 334064432; 198961251; 992431352; 226602906; 691899392; 378939785; 246393425; 33635082; 836817777; 300339867; 247585539; 864625818; 42654583; 201213087; 285955991; 400756335; 181143559; 800083298; 498314948; 141488149; 518005374; 796698288; 705684971; 548977521; 939736435; 565448224; 914259848; 948593713; 439939146; 624470690; 676881799; 187500228; 915724886; 808275054; 58337707; 655667512; 565221835; 63647359; 552582280; 983326017; 346554493; 646692540; 545338858; 919658435; 891352873; 107894118; 412771201; 523294696; 686937951; 282927846; 224788146; 62593963; 947235128; 1037455188; 407365508; 799199843; 130067783; 218070775; 445850567; 139122000; 1051947264; 860706740; 353685069; 602278754; 1019266115; 776483362; 440650186; 312362663; 572943088; 428357884; 692443253; 466921628; 247630914; 854911282; 610735; 399530133; 184507023; 221523139; 509055588; 968914016; 542542399; 524337781; 1013057535; 979570604; 681563557; 1060598583; 113314395; 833094232; 565359195; 43917135; 665159207; 778555216; 101931162; 624224644; 546091339; 665789841; 906666931; 322499208; 131638745; 877572502; 668492726; 958370171; 321663164; 671115722; 898439707; 392938960; 665383301; 448287914; 39799982; 64009858; 264393855; 446017917; 254612548; 656471947; 783219228; 279293685; 338760770; 885121864; 850114032; 647826426; 551153205; 387114572; 968937577; 997076768; 18495681; 360295623; 839011506; 520323835; 58788251; 866156148; 675957705; 273189321; 202745842; 64778733; 662638121; 1836982; 771271203; 643154684; 1058463112; 670145783; 755614629; 445157579; 216292508; 373682958; 1064318809; 1052788805; 777024480; 919165636; 1058510418; 46910694; 13376743; 589876792; 72178577; 480403827; 1011570011; 137369326; 580172447; 463712485; 769199069; 611031047; 921122515; 1044902203; 964170877; 543924560; 965938927; 253913739; 4856184; 454758582; 346230664; 129320522; 1001016989; 1031944792; 731269674; 218844070; 937946144; 767956594; 486596575; 416893626; 1067306105; 926619060; 963447755; 898268128; 402426179; 297411019; 815422808; 225949972; 462105024; 918968298; 374891217; 135060370; 64705950; 451369740; 53527682; 510318856; 951672654; 726935962; 1054496186; 881926543; 833724268; 25791484; 508913976; 848022978; 720798000; 707495846; 503022854; 700378164; 343075559; 686428124; 813611983; 993809681; 254334559; 195154556; 1036598236; 333961772; 71609189; 30407160; 221463338; 436218284; 569863711; 479233850; 108549157; 242811448; 920780400; 868459342; 538868952; 76751078; 322365546; 588773974; 473597490; 366431227; 907690467; 987093336; 16891959; 862142952; 289985612; 1053036938; 311758305; 397886833; 1037342191; 431331733; 191113891; 244896382; 561527698; 1004680159; 1066209245; 283605113; 196569834; 811305679; 603835003; 959696464; 121044658; 640351883; 223565309; 524799002; 698414844; 256632503; 704554846; 223448844; 162449663; 751183442; 933165089; 457554496; 858130656; 431700716; 986644830; 1045710078; 726297620; 1060825059; 1038057615; 1012183486; 272618313; 227868977; 627825554; 829780914; 9378141; 815295956; 756991213; 899606551; 767457140; 980640265; 558430487; 369405916; 955920271; 502165598; 914751511; 552152813; 1004579018; 547489709; 8220912; 87958740; 738404769; 995302252; 150653129; 290790096; 971979298; 282746559; 106366407; 993829502; 813937866; 352340720; 715015291; 1038317376; 281505358; 856064755; 596800347; 132158519; 480450099; 409939985; 1013571373; 854724940; 415611107; 1058919588; 658607736; 634654117; 621836459; 735989782; 211728222; 322242724; 281077599; 867950719; 150787684; 875884990; 1047593502; 405646812; 742237460; 330138755; 327305523; 108489706; 454695648; 941745874; 558465517; 746162758; 164857259; 589017603; 920908062; 58988037; 106752127; 740865859; 141412068; 84145833; 1016981077; 510868873; 405786324; 684999676; 639194150; 102286576; 804307414; 291733283; 910749976; 654149304; 549319383; 503244940; 365756064; 823081090; 921097122; 376866593; 1003357621; 225480771; 831752780; 999352789; 1061056340; 444037989; 237932980; 56062874; 998126956; 407444754; 84752870; 717809627; 340438593; 447311538; 646759919; 879125461; 674839877; 479007047; 168136424; 188068059; 124032535; 670070855; 934992884; 228779164; 949873448; 292205151; 130663019; 1010353502; 347933843; 720994176; 252926169; 671842729; 310190081; 905028282; 914473658; 218208849; 965413113; 410257567; 750170933; 726169492; 375332893; 606452219; 418502932; 836337093; 637311990; 930639779; 70797987; 861493746; 543513799; 583594260; 521950794; 863199680; 405679640; 991410492; 297364308; 690404036; 929332088; 291573604; 97312325; 290646541; 980801052; 994411196; 603124084; 865034684; 1016033951; 548351971; 393889619; 649435005; 832365607; 833462503; 282877862; 673139571; 720095043; 526298959; 457580632; 730630527; 1391483; 408826200; 772265352; 147076340; 733561368; 109887457; 1061463877; 509108835; 680700907; 363591270; 33480207; 969816392; 398377739; 681147886; 683499242; 403510484; 452434064; 562905482; 1023296187; 451004968; 948492653; 863914149; 815419389; 650190571; 671397347; 508633369; 432519597; 859641588; 40563729; 803358329; 478860567; 512241168; 533346180; 10096084; 141203351; 1023356072; 764558486; 972640716; 117393903; 400365749; 447845736; 5859052; 784157343; 349383664; 185065854; 981579686; 112449610; 685580786; 390427665; 810206345; 468813819; 257225384; 605930017; 1001996269; 807306593; 271021020; 909740296; 684037427; 968768088; 362487587; 531672371; 860825920; 306259235; 1003895460; 114696886; 1020589667; 561498656; 320972963; 318626703; 543679406; 635050950; 334856168; 308110273; 627032581; 647411230; 396846224; 1057776816; 723723485; 92934458; 798536680; 1052895107; 420987060; 969609953; 510804244; 571751120; 247551293; 732372721; 149533967; 784233601; 771849987; 585598771; 218159794; 693476984; 133252892; 591513014; 606123869; 203373467; 441850650; 849732528; 805101993; 868308966; 110311393; 258332341; 891012040; 294005884; 371163894; 698253771; 893757920; 998039539; 827655149; 66653284; 902878018; 884019232; 275810146; 344811242; 626443824; 989622469; 197140327; 1034446928; 229768305; 23856505; 1037125844; 1064519746; 812998685; 133513731; 365675870; 798323981; 854205860; 175800843; 327734829; 1007262548; 164405357; 663452551; 1064558468; 623012573; 162319258; 782007986; 815174482; 586563968; 619291240; 507389185; 817559915; 409026818; 77061903; 265515098; 437213081; 971199754; 1061594502; 178916196; 890606858; 78257592; 359721178; 576589294; 531963973; 388510964; 199287278; 451153199; 67750174; 274759242; 558435400; 946597485; 581031473; 648850880; 639149134; 445238014; 521558630; 168193399; 815812323; 459031218; 1031364735; 951446761; 261766123; 255284642; 789166779; 740694014; 605701740; 721378361; 91341793; 1072660250; 46645094; 752916616; 496212837; 218045029; 794845284; 720634434; 204343020; 549818435; 589681429; 916394338; 476513325; 765124551; 856223208; 883047967; 885050150; 525882462; 244010849; 297987126; 78455675; 71475137; 672676260; 359790486; 55600450; 89962262; 490047463; 74630690; 994457764; 107395241; 198914615; 120045580; 17816342; 899460218; 33208065; 10793456; 1896774; 509306745; 816089934; 885521489; 904439992; 195115825; 617776474; 284009712; 915490210; 350018770; 622540080; 806496940; 333982902; 1011435969; 229202171; 958568409; 611498151; 787032716; 590101177; 619845116; 160870108; 189575206; 247153779; 565315736; 830148014; 172997091; 176877432; 884130882; 401371617; 671231523; 959147036; 66380381; 1046467511; 241513495; 989289184; 389182709; 386325974; 563109164; 1053707686; 108703160; 27507885; 371941526; 62693902; 478829950; 598974679; 856232306; 56815414; 401954170; 430453870; 743946432; 763138587; 1006499135; 401819309; 985019107; 306569494; 836084972; 88222419; 897193380; 641199238; 463773769; 1012630126; 731234821; 623635538; 365639123; 320048760; 444230140; 679066671; 968177359; 1015675087; 580454838; 640222829; 217499039; 606862715; 842523024; 325595416; 784653367; 34369812; 1017991656; 246653437; 52839824; 734667823; 917927280; 736307432; 4883342; 187161604; 253799716; 10460482; 227871068; 372487518; 953691318; 559641793; 151879695; 431065265; 446621853; 383958361; 648765615; 690227145; 19026142; 738028319; 362800164; 723174707; 258169409; 203368909; 15028693; 148491397; 1027548350; 1024042764; 711777077; 83454736; 1053008724; 27166498; 545178179; 568901380; 377111901; 477566680; 425320656; 571700384; 656456894; 462983560; 893533949; 513508575; 775225175; 377854996; 18582723; 248093643; 832822018; 834955183; 711292218; 273168218; 204816048; 1037344710; 229876325; 621278120; 610445581; 345862868; 532765190; 835749292; 464400501; 567007714; 805086254; 295374743; 1060007714; 588234003; 977977016; 212716858; 18786600; 91039057; 78052644; 597816047; 295893568; 436456335; 1034933; 301753268; 502295148; 354290349; 81229760; 252440241; 666415549; 900888378; 321481396; 883764168; 891755722; 453720319; 509346777; 254632425; 812092289; 477979938; 240352679; 381186812; 718704782; 113791874; 13600266; 568900264; 945844858; 539055054; 593625156; 1063846614; 444864203; 447354779; 972026303; 970690381; 776439393; 164930971; 1056858836; 1041305865; 1043214483; 82285930; 951636558; 150228564; 1059824056; 502139300; 187849928; 437039820; 870513962; 303796229; 831790384; 164732864; 532676500; 1061975622; 799857323; 196397194; 697305366; 904898026; 584452729; 743015938; 382333675; 64965667; 275928826; 1006701219; 425022626; 2632195; 111404250; 908215712; 939611433; 709581359; 753407061; 308052669; 196955881; 128412704; 1016432071; 662889377; 80262855; 932365788; 118549346; 496941865; 387371215; 431115736; 661730076; 441352170; 1016583791; 319677296; 212904272; 662606744; 841420338; 573918114; 324382384; 170707692; 905617689; 658398453; 680628077; 352481004; 177985935; 804006151; 650507121; 498451173; 335368061; 260938064; 1060484603; 1033786137; 344382870; 968648466; 332510722; 825566701; 910925069; 169831966; 944222571; 728186015; 544548237; 364792002; 922616153; 939456608; 229376794; 751278451; 945716511; 20244924; 881132538; 102225524; 815434243; 680658376; 388898934; 224459592; 762815432; 938212600; 499661211; 994605851; 170843239; 195580457; 727523122; 926043780; 1019324106; 457163154; 647923829; 118841872; 182292203; 499288632; 800775072; 450285587; 708923347; 614492740; 747315663; 1046687518; 864172597; 570511046; 41618152; 611344701; 197854666; 786964155; 258985701; 609619215; 182031132; 641630995; 491150178; 557933021; 36625946; 659270962; 43028584; 710339544; 512749257; 253263945; 904948842; 120919195; 172208380; 652000660; 328871865; 879287236; 1000964776; 767412010; 181747744; 828795320; 387595096; 877300171; 459420451; 5783578; 116343617; 66284927; 115429637; 216732003; 618803719; 1063368708; 995021563; 305827984; 691079366; 594662205; 174847491; 483952435; 739662434; 953196197; 359887706; 574711603; 600739816; 169514438; 1019802990; 669067179; 40236364; 768392561; 844769790; 497071208; 346445925; 26106799; 499749687; 577719396; 509168586; 720396531; 29828646; 611463251; 668034807; 947400080; 285252686; 570800640; 335228075; 343269216; 212103187; 817706069; 528473104; 418461085; 296413156; 753406407; 286516625; 590655508; 897320423; 134801511; 998952044; 935370881; 308887632; 817205038; 1035713219; 670370085; 552765949; 201738103; 807932128; 166991598; 755840956; 805364514; 588899845; 117544043; 383500301; 523591365; 638777431; 446140017; 1039376470; 611171447; 635930388; 877658622; 861076958; 50185915; 786148908; 114004694; 279054393; 704623332; 479547792; 664187895; 27200928; 955074831; 233969915; 529738604; 645675526; 254418736; 507164806; 249429532; 537945658; 461418208; 647792237; 640831767; 668027962; 991735115; 655216476; 490032494; 735292984; 802536726; 147408806; 996407556; 462094149; 1053371163; 206449398; 15609232; 192958314; 540345412; 928708696; 774138963; 732454866; 355660898; 1047978011; 594038387; 574386850; 575898442; 261614432; 687118549; 1044765297; 129850365; 331624384; 739631997; 150134049; 758743636; 911506444; 660007123; 811525160; 368919137; 692135053; 100300808; 60153219; 416584571; 208450883; 546733688; 277379491; 535057247; 333499535; 149243974; 715885163; 332687789; 643859155; 993709466; 309092272; 210139181; 870813390; 171190498; 759679181; 693081679; 556274486; 305681860; 615613541; 241134769; 658716372; 1055923013; 158789744; 442621177; 640256673; 44505500; 611047290; 171927916; 564232794; 232597016; 533377667; 963346414; 620106679; 347566492; 408186956; 661744205; 375025131; 599077406; 554308091; 870042007; 109793357; 501731698; 98508450; 49718989; 555035948; 485957265; 52884990; 679360196; 766445923; 319505085; 948710333; 399213647; 239169489; 263189616; 81574088; 23306082; 180607879; 899532013; 35158403; 383830645; 547882842; 706411060; 552728108; 789834606; 474534131; 902476446; 519313109; 176050800; 198171110; 174750790; 187006951; 664230607; 875137324; 330040480; 844285922; 270624245; 787444409; 691482447; 781558162; 198475134; 531955990; 407918558; 701882233; 326087556; 568252855; 587086852; 423711264; 329146186; 822568405; 987220455; 400577620; 19868738; 635674592; 450004260; 423251367; 485152689; 1018069634; 347096272; 387910814; 602504965; 960209113; 972611986; 70533962; 155137911; 19378922; 827793945; 670199044; 976827571; 695601696; 735384685; 395916757; 123943133; 534730144; 109303509; 422047143; 870012379; 440259547; 174472111; 973064346; 180968379; 116429063; 869271650; 839442705; 638802561; 269131632; 777992275; 697450543; 59255585; 93885555; 413747342; 74859608; 853727358; 963418761; 526305556; 683943179; 929054780; 528169366; 73034385; 991663040; 508359287; 473306449; 94716406; 449883680; 727633916; 313629002; 582139982; 940620518; 688958305; 752030264; 337765669; 731074808; 769849680; 841291071; 114101903; 167408498; 863688575; 830270428; 757634917; 1024009810; 933363038; 1024526512; 681186194; 602414044; 767739576; 488707883; 999231035; 713631353; 882241826; 161901266; 806315611; 414370493; 787090799; 186357232; 265523234; 679666800; 1006468316; 665043454; 406771330; 975745560; 507774172; 530029248; 1024878496; 795680022; 263793472; 630755954; 565097971; 811390994; 992362238; 139896395; 651801732; 899132229; 186581878; 1064968916; 291364720; 136452016; 111802066; 794923041; 793998145; 430954769; 404817187; 476311411; 565698802; 871435206; 285731273; 177389420; 181642097; 833582837; 1034475559; 986298540; 28569828; 365382163; 437150586; 808965949; 598051886; 884201703; 361290735; 356313491; 886598786; 998380945; 445267437; 919827693; 1046367341; 847347425; 62489687; 700764059; 617130536; 1006094286; 616816742; 724558744; 687287356; 936194088; 837680933; 130295377; 122470393; 1069766449; 219584265; 599820614; 240047853; 295805203; 520657901; 427678908; 758202882; 593616185; 747144040; 422121307; 558922059; 984504789; 1033404283; 623282911; 1007092561; 145913947; 557858050; 140492325; 637413024; 454681998; 474439939; 447734971; 152741280; 1011524586; 326612398; 1025987689; 1011574623; 949386381; 635884007; 341174128; 20115851; 562117563; 392122977; 31387756; 383670952; 202039931; 785812811; 855456570; 873264326; 648306860; 512455868; 428538321; 766082938; 141589352; 313202891; 230492261; 705765456; 552833933; 406473721; 770265998; 1067974969; 736973130; 618755386; 155082516; 438854656; 524886110; 90186509; 240873744; 598864233; 89937945; 441991738; 309706297; 1045403445; 838500436; 949593188; 946302141; 194196200; 959005066; 315383360; 544759912; 821514820; 360930934; 704343900; 721253662; 569221194; 455325181; 102564057; 149606154; 296233457; 470412856; 688271320; 888844044; 363889362; 910619577; 291580680; 680957113; 254432522; 685628323; 493682702; 115243694; 198528923; 653865994; 214555750; 19932791; 870146157; 512498743; 696263313; 442220739; 993741271; 149394548; 278586176; 779038389; 152552715; 56538046; 619587158; 829529309; 846617784; 937098504; 909512021; 979042517; 682841550; 130926583; 1009100289; 137468489; 457483729; 868511342; 174633683; 851636191; 801470098; 86744946; 965008960; 436057433; 976135326; 353195617; 152280023; 418532318; 276440816; 977492060; 621622945; 467751115; 412952398; 299754657; 127614052; 200698571; 872687758; 243033252; 1026549029; 80537758; 826019928; 43538012; 253946844; 345498555; 551484755; 226939288; 319872750; 178406783; 285257589; 682034230; 63744496; 519507881; 279097428; 912445854; 986465619; 634534205; 206396338; 379480025; 496963384; 841949817; 958858795; 95147150; 821231508; 211983183; 89716054; 528735362; 564386374; 675194025; 68749491; 310905158; 672725925; 326395749; 135724470; 164402691; 280070137; 278292426; 522966149; 1061416006; 876805514; 617264171; 913072297; 538277520; 1005703949; 653875286; 987795981; 319306922; 350870771; 912606987; 80036902; 744492901; 300995182; 591804562; 470464779; 471739545; 712262260; 542474318; 740264212; 811452137; 208362735; 328905577; 141592446; 48374583; 555505919; 188923331; 929333759; 899760662; 513061958; 157556650; 414401632; 675336748; 1002362367; 368734380; 397389444; 341247391; 573542471; 537540634; 932796724; 266613011; 405390990; 822760293; 602054824; 164347321; 769307499; 93808001; 935901210; 705035149; 273282044; 905245615; 979382622; 428180464; 230529484; 647587684; 665578778; 284953177; 521084869; 909011865; 469689076; 520642059; 590765208; 705920130; 691307844; 59888771; 233032962; 151672071; 525890330; 64402279; 160257661; 593474272; 1018919964; 332398668; 804936173; 284056718; 879313025; 425537213; 550617104; 392368222; 437470466; 632175917; 948376528; 492045403; 882258989; 634786103; 442872363; 917662502; 491162733; 539858001; 799543338; 430321755; 805640398; 601483955; 247923245; 22481072; 217241313; 439279005; 32192214; 176777738; 212987705; 855899678; 1059320694; 896470849; 96740406; 584248446; 981324473; 72761652; 1053249957; 509964859; 94450698; 627601654; 162238040; 382439494; 607925289; 455102132; 517641492; 121053671; 497047407; 560491328; 195469569; 903753721; 355770508; 396693299; 463276160; 542128845; 889268441; 597802259; 884631669; 757797812; 321863654; 208558905; 490432648; 299609788; 514142758; 729358646; 155660610; 855665853; 938811830; 356260306; 302625174; 188142188; 79005470; 833959374; 532450367; 822274426; 163125070; 283210119; 661856345; 674691693; 703691580; 18175210; 968810608; 413734334; 593215778; 794841234; 469796207; 607441721; 744782942; 694128851; 394036111; 1002035166; 516226413; 928152625; 453611991; 923080524; 803133378; 523859673; 392269643; 1059948672; 262318949; 508301461; 405183131; 1033094415; 812231537; 1040431417; 822744502; 952272908; 798491441; 525709291; 163712450; 297734046; 258904307; 339526636; 858745052; 137027923; 191518991; 451810102; 722586078; 79902172; 410726776; 821271829; 506990711; 913811632; 706320396; 228154144; 364944752; 498449821; 488592528; 997988121; 744028897; 1002346976; 622158464; 374980967; 459331334; 922934689; 575447692; 48270614; 307398633; 786173833; 819623036; 851435053; 293743605; 969202407; 327963661; 836356934; 421112195; 1052482276; 768236680; 833932745; 1010342327; 805117171; 286593276; 31681521; 861141443; 490480381; 955905824; 903632118; 713780735; 924694649; 28161871; 388043436; 140069369; 4667730; 778092533; 14669244; 621157546; 153387486; 487596490; 607714453; 513078359; 5935811; 201433919; 873864766; 36056592; 419834968; 973190162; 531756882; 853691625; 89973740; 328500188; 156980376; 551877001; 1016833032; 54505769; 814275541; 836854996; 1030671502; 957200490; 798794727; 195187929; 937146205; 706819172; 980497510; 440581567; 721601249; 507090137; 742816878; 751405769; 424032838; 767432593; 392586114; 1037121175; 997139230; 59468822; 367116; 452255943; 181040122; 835674826; 643936020; 135121461; 327375673; 912978723; 842428639; 442756853; 1009522687; 475990835; 831124121; 495504743; 770570131; 662409111; 104174443; 86750596; 959845122; 784809638; 616679430; 504757728; 464828004; 926773825; 338507758; 1037135314; 428920066; 790377047; 651825093; 758470397; 276539606; 52819436; 1007906983; 382807864; 1015471770; 860932070; 880542850; 206809272; 239756; 105488171; 982800382; 918884756; 817460747; 506573896; 712659285; 1002347006; 795089434; 401588081; 870493129; 314919568; 582801011; 234099634; 227086310; 419967727; 785382569; 908690359; 489776006; 421427900; 349057031; 988863023; 546797443; 145774794; 200656947; 697258569; 990553413; 660210130; 713722207; 674292213; 68838959; 201009761; 210073235; 960674231; 719012735; 325712663; 70129255; 785798870; 744446660; 51310230; 332216351; 1016324989; 782607464; 915438057; 933286134; 648319445; 495518809; 488411411; 719837526; 467516942; 689362004; 456473730; 44899331; 1048280152; 779730448; 551464971; 880746039; 937126434; 582392319; 987095746; 302215670; 809207881; 591550994; 984585736; 149937438; 432152068; 182648279; 1005640782; 433416128; 264974300; 54969845; 941631612; 241349151; 441432688; 34032230; 229373242; 1059635253; 697914969; 892215870; 771977946; 777108028; 521008352; 738592600; 157179814; 179400734; 819500982; 433125581; 363911563; 285812437; 281454530; 919638830; 150922; 389986480; 245064559; 847894131; 660610236; 750256209; 223858169; 690624262; 780579663; 171680780; 43820353; 177421573; 507784626; 508829906; 824166558; 473503610; 476391716; 655199699; 793943421; 1015606743; 695735150; 860753423; 152557599; 792978070; 324577199; 176895360; 811902947; 42028234; 510607532; 426226923; 386380455; 849470720; 605978954; 732556412; 373772523; 325990691; 899563509; 1001874743; 222751914; 133873350; 818346142; 302263938; 548155379; 171033453; 410824553; 469548704; 310585731; 221786061; 164101380; 631178803; 581324500; 166108809; 685751204; 850029339; 267070084; 1031393201; 333477755; 844545989; 431323228; 308850618; 296771331; 371235451; 1067486968; 791887402; 860434817; 376193783; 335630254; 247203785; 284046236; 252400241; 574488664; 658378276; 1004081948; 749121893; 786543303; 649579610; 983286260; 496671971; 285202137; 519567083; 970432149; 879616497; 288380071; 991975456; 32287467; 395919963; 1062184722; 354945947; 980255754; 405334111; 234875407; 599707516; 549707284; 259844753; 465521171; 379981226; 212279645; 885084740; 231704398; 341994154; 828217229; 444827025; 640975520; 709528078; 700394468; 473360631; 593781278; 354763220; 247631946; 151046104; 1006495114; 166258867; 542594592; 563594932; 673169176; 904904705; 1072721911; 326921339; 28282932; 130873019; 780893402; 859453; 979301959; 917453199; 330650386; 1002392001; 164831618; 628792352; 912545839; 404384257; 12691515; 203688576; 758138266; 1045109466; 484389932; 520342485; 800245127; 294238483; 552035612; 507105129; 326925307; 594014524; 913272659; 1008376267; 278298010; 514673707; 186389453; 557777220; 351952266; 655249105; 445263697; 922008988; 109421205; 899945609; 539773244; 103256375; 259455242; 777869; 908603847; 748111856; 438450288; 966091049; 693407093; 804069961; 972744968; 10135375; 919879531; 872805564; 712464708; 564362246; 906098906; 50869655; 249997384; 480301368; 571233403; 282518118; 924140061; 630554618; 253365487; 811884545; 61628583; 522533971; 869048100; 116438487; 815455771; 407849473; 215619662; 258576052; 352138350; 666742163; 958534011; 427562405; 360732262; 1052746812; 1054040121; 21848499; 380596063; 363946248; 1056538281; 737636817; 421686069; 894668434; 49751533; 842544104; 209847325; 927368716; 428610974; 794906133; 65706645; 7821750; 702848480; 698027136; 1045317594; 30885699; 38670297; 50695579; 841555739; 735474826; 621149513; 677947316; 88263871; 193936059; 415217748; 644837262; 271624806; 1060174578; 717121995; 29489856; 633085381; 300594248; 29486031; 194049490; 287694523; 283570257; 455548220; 283149330; 1015666398; 866626917; 506324644; 145117595; 643353839; 582257131; 874486967; 339131789; 999829152; 71887981; 515688460; 890204525; 42201262; 139384563; 396932176; 909651209; 126935257; 551388741; 924369524; 393560188; 656715102; 549674950; 763967565; 558267158; 901655201; 181885779; 640350829; 106181867; 781086247; 1024795805; 792977706; 195850211; 928988287; 965055023; 515708428; 998366900; 393320055; 272844929; 703166093; 308810790; 104211769; 784114697; 840740390; 281443491; 367129686; 1028278342; 930775987; 200933348; 1016216556; 775717329; 1049509043; 917147954; 142671803; 733936674; 769252940; 730877812; 469591636; 865597263; 323360073; 490609479; 213837469; 427369430; 478270679; 494668252; 643730143; 787005106; 522176088; 462220385; 271787207; 938674214; 902020604; 937104735; 524699940; 809251044; 866362737; 797010747; 893174118; 834210484; 727203765; 425255611; 161096143; 268748140; 359403208; 422202177; 645038602; 516895375; 274513942; 789982349; 250140516; 572375654; 665561645; 311010895; 728664710; 46231549; 561063460; 648282544; 578512632; 726248871; 243084071; 181009415; 547213324; 252464345; 148693401; 192813424; 723418540; 238484678; 279867829; 243212425; 108978555; 196882135; 1009705294; 538718579; 801276175; 187841331; 320717148; 834384541; 796520677; 684352383; 830495514; 69153582; 178548810; 191402875; 457407794; 571202210; 132345345; 96504943; 987755196; 685929898; 101593301; 260936172; 882498320; 62525941; 222422586; 351463453; 857426336; 455769930; 349141449; 653276316; 402525882; 677419008; 636627310; 764555303; 194053356; 41479139; 236629832; 992528143; 157522387; 351211707; 781113310; 547353761; 808726879; 888108549; 659328520; 723043223; 178874802; 147500854; 1011494837; 1070077260; 851967883; 54661712; 472070750; 150405390; 1035748918; 879405669; 720406929; 626237394; 918350234; 271056522; 506056114; 960577255; 782610499; 253393443; 301474392; 656902636; 543868191; 262240156; 665203669; 258840331; 862312196; 381964823; 810201018; 226675199; 208443773; 467558403; 456690771; 740246361; 684442423; 964780715; 985139181; 747276295; 1053072259; 973730800; 552720782; 89074235; 83590894; 180612705; 165208475; 593751720; 841102780; 466380834; 881770022; 555320642; 139311655; 509078322; 454618565; 884373790; 851716678; 367054962; 82497019; 857850189; 873892444; 587717053; 791595910; 651868992; 1040493108; 21166486; 956851775; 330418919; 703416755; 320635320; 761876772; 104800276; 163822550; 58505041; 1011002215; 474904319; 1061398761; 285610345; 34877922; 714848295; 996144169; 158071392; 714860392; 207912745; 98314103; 108576518; 874695266; 375774651; 131446628; 725263561; 359875125; 1053393378; 576329667; 824770084; 702589396; 176153697; 848199800; 618466319; 904435620; 601876758; 770050942; 767343189; 285268717; 332050293; 259796269; 391836358; 122528165; 1056958693; 666115822; 535962980; 626461991; 177180355; 133148310; 976280217; 75569426; 340751369; 630112342; 504825255; 1051550453; 215697935; 579439408; 853763916; 241613496; 1046988875; 550221065; 676259055; 93728891; 1016758431; 205823747; 795716343; 200701481; 466721408; 164231953; 152765199; 480727067; 686987607; 946191994; 1001117146; 288192656; 926922581; 567880133; 555920976; 870799323; 977401411; 422292301; 940390962; 135582651; 766196154; 165700090; 942823385; 95667776; 706230553; 366319471; 240129492; 790807507; 653901245; 185972992; 923057170; 181273468; 474107131; 420452063; 457141318; 801541045; 142359991; 775411011; 59538633; 31105666; 226453320; 464113394; 298578156; 580259759; 695203550; 533056163; 339895586; 185978463; 472699428; 102433016; 846590246; 102102226; 149697889; 932264549; 598813421; 549698015; 1018412365; 330111786; 798025936; 279068186; 64420819; 484301515; 342576754; 221373423; 664371198; 503078385; 869847772; 1041361367; 1064614963; 29727380; 432587749; 937436955; 348091532; 542829038; 923303705; 171054832; 422686286; 391757518; 796344211; 856768571; 595742295; 1054660274; 695302825; 1015408372; 1015172141; 651717461; 662621180; 742662508; 471048813; 514505063; 211527884; 634382784; 811811570; 624459681; 282849121; 63147486; 858825519; 761326982; 385682594; 80630244; 53371649; 759686390; 198845373; 815220577; 409065972; 526739254; 629809088; 795440997; 38058786; 985754919; 1018101825; 386529307; 511169213; 570675209; 114082236; 718128459; 515881512; 1034223037; 75442679; 381294405; 137361306; 18719304; 423231053; 641387297; 4844851; 450067244; 548481960; 147937243; 742748785; 539239666; 36095427; 294804468; 606384708; 568440353; 181724826; 216060242; 888292509; 997481385; 705981495; 708373243; 568058835; 469788082; 182671222; 835560270; 290110989; 591108537; 221469792; 255591508; 37872606; 741932567; 973599196; 320238979; 957775630; 980723101; 127511099; 89744753; 355876737; 399665706; 203211470; 892798610; 1043724839; 189516151; 437856076; 677315295; 483846157; 332112301; 345626060; 267958475; 250729878; 405035803; 686351888; 25144087; 927569730; 947193979; 800414101; 433653954; 916166890; 192782639; 353089005; 1000011929; 33779180; 313741172; 413348009; 1060221993; 735740297; 616931891; 212626640; 269492431; 350710637; 1026337802; 491905121; 519717155; 1012708375; 501648569; 988865503; 368135683; 129631641; 268676542; 723618614; 817643183; 918900695; 611255836; 912233776; 46189261; 1071649076; 726349378; 143266245; 36293213; 587098524; 352849586; 206633136; 259323685; 216781126; 287332984; 311654773; 369879836; 386581730; 405405824; 1021048363; 664090912; 761049140; 596652715; 353511004; 351830037; 548042176; 677463167; 456361784; 745001055; 649877788; 953300073; 906671878; 836649422; 218713069; 214324737; 434942119; 718817054; 996379611; 834450307; 388931555; 563102694; 166955241; 799214339; 54807284; 262287855; 243875752; 852528156; 332467468; 485157727; 538009097; 354065924; 1049961797; 525545648; 267565428; 999981443; 666514356; 491409695; 702812215; 601468464; 739132343; 765907091; 334634108; 556587190; 277327334; 755883927; 754361280; 451783292; 711730198; 918034113; 104650380; 69052129; 637467265; 591763873; 390520124; 1003656705; 765524362; 620068298; 130408373; 320356599; 920558692; 775936568; 508680723; 256182846; 448916465; 723904699; 216707019; 283239947; 177604822; 717972526; 890842026; 510318156; 940938721; 605700217; 475870055; 274656464; 800355289; 739642991; 979653998; 890916901; 778768410; 635740213; 251674021; 662229847; 725522434; 114741804; 69919286; 679007420; 45241443; 18960320; 464232893; 26263874; 962982613; 796982569; 54680359; 680053897; 1063466922; 951217050; 949962815; 38187478; 823123859; 185295535; 274869012; 804346724; 307354403; 274500180; 953624997; 940853486; 523031180; 319224615; 73343416; 799604287; 842547037; 830545650; 342436833; 444801909; 644848480; 146129690; 1061109139; 643536230; 745440517; 100974051; 1020789496; 601725831; 831529729; 272714366; 234341140; 57032580; 305583910; 951509259; 51669870; 290007483; 615789034; 137074467; 921775263; 475582311; 720906150; 987363603; 708210999; 790309156; 516096149; 392561265; 378923301; 722613401; 956487994; 242709847; 821326328; 160696968; 571216361; 313839873; 876306642; 420981668; 905383399; 263122635; 780249964; 217124746; 965497608; 715292183; 246482548; 1040220013; 928109719; 470933453; 712066345; 279927234; 1578980; 779867034; 298650614; 742466604; 312475083; 631113160; 918813066; 524994902; 914002878; 603285186; 816524967; 171258414; 403217544; 483829410; 624334044; 561395516; 752331442; 90468619; 685493627; 806779625; 366741239; 1025709364; 291292903; 993289803; 546198585; 261146500; 241034016; 973908343; 532666969; 817217171; 695046894; 52360431; 277393279; 487144276; 183082513; 150528023; 4777098; 955988989; 907793262; 852891959; 450675577; 889399120; 435472697; 185613197; 597071705; 474084267; 1005112600; 829101870; 527292961; 318838872; 156411089; 314083522; 483980717; 419454509; 244300657; 955214715; 572477809; 277457295; 903782857; 950273605; 323871086; 281616784; 153428582; 469350183; 895378940; 989589984; 300577094; 729708203; 779871702; 410075268; 559537121; 289546252; 681724478; 331225849; 278356083; 890743803; 466138717; 482206983; 558532714; 380330024; 204324196; 492099196; 216008235; 74183651; 407555417; 179306859; 779725764; 1036966062; 420644758; 97709764; 580206021; 10566832; 882681908; 935723859; 1069148274; 228596755; 66728907; 538007800; 100813782; 885816068; 744053155; 177171117; 257708499; 968792433; 88573217; 768357372; 372248966; 114935312; 427423506; 516180055; 236205440; 540082325; 921454163; 737525368; 386125175; 593174773; 777331097; 1048748494; 196465954; 27942773; 695770091; 276182841; 533627514; 473715512; 523124813; 323264915; 613392406; 180301299; 582800214; 212238124; 405042404; 584670172; 199563734; 717540255; 243724923; 1056699063; 990176121; 406073572; 429096794; 514114728; 355879570; 906997264; 732088248; 1058610605; 197835442; 464376264; 1063404514; 544580079; 797860450; 782501489; 514787918; 535446550; 268643409; 53371798; 415060581; 1010970789; 486507506; 142164692; 352336092; 118397771; 384945352; 507740233; 228144078; 881851470; 419402971; 19623454; 842898514; 449094337; 120717459; 967761149; 671443237; 434002703; 913769890; 613513609; 158816878; 949166423; 882460623; 736891191; 106498813; 685290844; 650018332; 528973623; 727710730; 545367493; 382289512; 333333054; 442778444; 549550402; 929264005; 823182607; 848464815; 398223415; 202358334; 478794228; 779575044; 1044930243; 1060450998; 177163014; 892548108; 550650671; 399918047; 991271046; 219496333; 28648132; 1061714684; 822477396; 414291738; 332659856; 945371509; 755517332; 339155119; 227759077; 127451456; 307675924; 217694385; 139008522; 547655715; 66308017; 493506360; 232270901; 349996706; 300361583; 135101100; 749955441; 1070967413; 289169994; 768738259; 533760884; 346016077; 531790892; 639375769; 339237039; 648686069; 223397290; 808325884; 1046155909; 553186021; 1020629254; 993646680; 644487899; 779984741; 80334353; 30318659; 271619304; 17287797; 38700056; 84187375; 682384409; 912554525; 234820697; 258546402; 798192710; 514437152; 815390377; 856401818; 820524458; 482438989; 388236090; 231520464; 393587349; 215422801; 595052225; 910699771; 380189081; 387607991; 625664722; 350238264; 32733054; 9513282; 978316950; 763327563; 73385111; 772601849; 415974073; 589589701; 76020489; 883922787; 160814211; 849331725; 468061123; 583185474; 134214006; 304935919; 328780297; 1042505315; 241673312; 15684745; 420255272; 70008625; 591010144; 601275419; 911154692; 8206902; 539303036; 752100003; 240201606; 442143577; 23792332; 209681774; 640048364; 816015765; 804017109; 318158760; 282443548; 749606389; 744356570; 19040757; 155455609; 103407074; 683558270; 750640139; 206225779; 542887535; 452818658; 589842434; 76727112; 666304065; 652225327; 563913733; 282985243; 1067214502; 103257390; 106348590; 320141364; 576486122; 575485312; 263848849; 442984970; 290765264; 542074677; 637013953; 982769854; 69321452; 523706127; 821187438; 25145000; 861528311; 966104982; 506723448; 689251795; 96880152; 895278689; 870262979; 558495509; 915935481; 267283711; 183399601; 1046911398; 458564363; 433385623; 665217412; 473040385; 714872170; 1068152284; 783283102; 152649219; 596221108; 412123135; 706953295; 672963700; 975890819; 332738677; 521956830; 787902944; 126730046; 121634621; 324595977; 877153795; 553032167; 682385058; 556890273; 559963122; 507961400; 579045132; 924958894; 357563021; 779461796; 1068091201; 369672296; 212825290; 116615212; 740725126; 364066968; 606127667; 635512041; 296416092; 459816831; 966928657; 305503467; 540880935; 322207245; 53399468; 517036315; 454472560; 247911079; 792353739; 842996133; 301520169; 965236235; 219993847; 628112507; 980879197; 315075342; 909514452; 391860519; 822789917; 8578672; 198522566; 257708401; 1057720020; 728791851; 695419533; 800586699; 890971372; 197386808; 695907461; 1065688574; 345791563; 938013435; 395457823; 1069700518; 12948314; 371807225; 567058359; 567778051; 106463118; 1056466649; 395794676; 179338835; 995432520; 746194890; 904039834; 1065256498; 265450200; 381738646; 360399044; 989525250; 965971331; 498269143; 500349379; 813325763; 815652170; 338395311; 266029384; 649853351; 639662587; 708294158; 185387096; 240161998; 230750710; 949654070; 904343897; 872497797; 661392924; 299964957; 291075125; 862997633; 613835745; 85663853; 505349199; 814557624; 173810876; 249707022; 981919814; 316014773; 34464897; 276885319; 975563680; 505511009; 748795017; 179254908; 844864519; 122625160; 506091999; 732293850; 628912176; 169955774; 968596150; 151400148; 383850826; 712555145; 1047601745; 895141601; 949947711; 541242167; 294555653; 48739894; 581850510; 178798951; 138935924; 60496629; 434458102; 690050317; 996862061; 914766659; 667239157; 427772064; 1023604509; 736844853; 385941725; 109417429; 889999232; 771741821; 627021555; 471451898; 308126487; 304400752; 1047702367; 903986072; 821096976; 421378727; 889224639; 715417305; 766780216; 107309224; 918576163; 445882234; 958503156; 534635874; 948031535; 260005921; 317451706; 532142851; 551146167; 1049256906; 653200182; 720830342; 383196200; 192280764; 468682490; 212654991; 73188072; 829414510; 769131329; 1072139386; 1029175450; 23642120; 1022424978; 155322050; 666861494; 67969391; 466940175; 249669426; 173719090; 334693720; 460114749; 908031186; 752528885; 570765011; 109559358; 660240855; 48996789; 602738978; 870616770; 495759748; 297491750; 84344278; 334284005; 945696373; 888134119; 258695650; 470654393; 835144762; 870409222; 597586143; 262727056; 509197088; 621940286; 834208760; 355504452; 1054776343; 542549323; 442280529; 1059988521; 730002730; 591256681; 685185548; 891284349; 980452358; 245394725; 939824708; 585134883; 367392448; 909918035; 36821043; 221363961; 365934915; 171594582; 169666445; 503063847; 234782030; 893039727; 387510473; 382147348; 1065981198; 390919943; 816856293; 297954315; 274185220; 221415435; 241800986; 582834933; 578649579; 210706184; 362209442; 190955227; 815004018; 444016607; 989848747; 869658228; 62956094; 827699872; 1000029087; 198884610; 795174894; 931156266; 297124773; 362141243; 501389228; 593079019; 438797200; 982480512; 752084280; 437039818; 572240253; 558525147; 134860229; 239764660; 548975552; 135918559; 77291422; 800195801; 915962680; 665462394; 906032604; 873525094; 701711789; 819309825; 542472458; 238384341; 981094193; 605145499; 658682722; 828279520; 1057391018; 986007876; 526912622; 673653078; 995432668; 56988497; 1049464439; 494625376; 839055516; 1065033196; 95140089; 282195754; 96055750; 613230924; 362115602; 660066657; 230332753; 748529515; 541499188; 45139712; 358408959; 189077147; 938844840; 347620249; 310174352; 263912417; 924361190; 887087055; 331627043; 397979286; 439875771; 390225594; 815591299; 935593350; 46481132; 360982416; 1022408449; 375172378; 636323438; 202688447; 18824751; 864896844; 669975223; 874029981; 922682366; 765053657; 106150109; 665202836; 589199231; 584405384; 1055192778; 1071013573; 1052553434; 420728288; 1027986544; 832237947; 451651560; 235369717; 735678154; 836089005; 191771981; 451582411; 1070357836; 784820203; 639726501; 333928977; 364492466; 651324935; 241078113; 759932836; 51099846; 679995204; 576880564; 411961460; 528464606; 1029011753; 159866634; 290293773; 312342332; 864460194; 324492507; 831185144; 598443620; 199843107; 402698412; 897327212; 976099883; 880925494; 198209544; 174692121; 143072154; 1043965656; 969461502; 101750816; 774469545; 980714906; 450627821; 436512098; 247070681; 557155349; 293456954; 328594797; 332636977; 355717294; 446963853; 776579103; 29699907; 425927726; 514948590; 321737694; 404706254; 919449225; 850228575; 739961625; 700922751; 967651822; 1051793679; 959369363; 472966378; 811605876; 95127209; 505215237; 644502254; 883962501; 823914658; 268858138; 190485935; 804905946; 447749207; 294274715; 368597551; 818105567; 216777824; 491100837; 847216607; 1006187683; 315764451; 827278943; 115165267; 425078435; 982596876; 850992852; 1012069471; 216234635; 869088307; 264521092; 388446346; 519659302; 1014001340; 277229954; 218764873; 512428767; 642094993; 286099135; 883125706; 634303743; 933613851; 635653843; 1044647998; 265083521; 859333471; 432928457; 456998697; 928609847; 733258431; 961867190; 57683707; 743041000; 716605302; 1003245599; 882832243; 791744314; 273892411; 440019640; 553450163; 1033276565; 526900354; 215343059; 478536354; 362998706; 1067435286; 993956; 580515866; 110175821; 510307533; 474651254; 969656542; 355249790; 281352696; 44422170; 613466002; 401978845; 8559092; 318563548; 162419994; 996802373; 5668337; 811955551; 872216709; 1000427642; 907442101; 615718094; 936392542; 716077659; 875159351; 222856339; 261695426; 512540019; 69717723; 1065439775; 982816522; 331099042; 214956273; 376005906; 795721075; 797716626; 1032509565; 744878423; 985459327; 7086309; 1001477671; 895556222; 350228888; 657741675; 286814772; 300936546; 858523117; 296275212; 490401535; 526028973; 848929003; 23359496; 392478233; 379181183; 849623181; 101555186; 982096634; 457189194; 411122853; 274854336; 1048915176; 606648044; 151067735; 829769377; 816587006; 837964514; 313849465; 132926494; 516460624; 520319935; 658315758; 730155339; 499457421; 1027475498; 695134684; 176463175; 9990770; 293015538; 158251038; 830163750; 857463940; 6172219; 261737612; 707283923; 239607318; 501154684; 1003498724; 699791105; 740772135; 224789797; 275831551; 477535431; 996672896; 690955395; 156738224; 345000160; 1048558148; 330465068; 1017186955; 773915873; 663457146; 687983356; 957493327; 823193162; 122743488; 492834862; 615313996; 949674713; 1003311942; 585082966; 450995915; 619333218; 116985614; 740664854; 805906945; 6980283; 487782506; 952299809; 992858305; 846408262; 404372770; 513878666; 351722726; 890740904; 1017363486; 983711947; 4789296; 434256760; 76314245; 410600980; 950296004; 753289234; 244838414; 956459069; 844289791; 524406763; 870451194; 2542896; 686028716; 92136997; 611043004; 131204135; 581458834; 913915067; 188603830; 344915170; 932263553; 336093199; 516043448; 697480048; 749451091; 1022844698; 497355856; 393299041; 406460333; 559161533; 836016776; 678217435; 31357727; 464009832; 932579846; 515579847; 635856027; 702628913; 1059367227; 341609645; 593274284; 883391140; 111844274; 1021117601; 803756958; 835357936; 806744158; 709994355; 292879640; 871035073; 251574541; 190224202; 744934875; 526758023; 655601548; 963218376; 562502448; 11850664; 439933849; 103114045; 967578906; 501557727; 571513401; 428591768; 98593707; 42406571; 898252906; 85329319; 799004473; 968314209; 613153797; 37598025; 61982912; 911449230; 227817137; 541621548; 909478591; 818859741; 925139277; 928817716; 651873882; 364667630; 670329839; 85190476; 993836196; 742840428; 276935543; 382706959; 952602165; 918836471; 803152407; 128043394; 713302252; 864162638; 47201820; 984112122; 433572955; 57423372; 1058050495; 185978810; 968239321; 129474180; 61348211; 557998110; 628433102; 191515009; 132229723; 849274401; 6675600; 71030234; 66633622; 952278295; 710046345; 255943624; 113976761; 47727272; 903710988; 5173429; 169757392; 882568916; 16291631; 19627402; 394250791; 976859463; 124056936; 56633453; 364095223; 1031042231; 226097626; 188597565; 978845169; 271036622; 793106633; 213816423; 121956653; 478120550; 770612179; 205388007; 431354295; 78981429; 547751872; 460350852; 747086458; 183698969; 280416658; 751158735; 875397985; 469084811; 803674168; 260803186; 349229141; 295179223; 818322980; 1039597354; 653669722; 579329813; 122606258; 752915288; 986403495; 338711676; 541374752; 405405840; 563281045; 9248025; 823721066; 849832141; 67963242; 291489584; 272519432; 75850423; 394070548; 862661578; 64128309; 122002223; 23811738; 856838574; 695492192; 156859086; 849258628; 958868362; 166589443; 999395227; 704307209; 25100695; 492736931; 567229701; 445038377; 989088165; 342516637; 914536941; 698761847; 486038700; 591250705; 556753652; 627788943; 491785576; 622112263; 474987600; 434378370; 1032936927; 41435741; 456111832; 5155299; 445365135; 362974251; 679717576; 971039063; 429040218; 724567664; 119466631; 135333075; 313067504; 93420722; 229258846; 335773427; 842621108; 483475290; 878637372; 684061349; 190088879; 647604491; 329191563; 1039712558; 819360582; 902698719; 225640735; 34041549; 380777729; 21022153; 266820307; 558853856; 507220441; 223789030; 816324631; 238917125; 490606938; 861790589; 617438440; 836054133; 761063925; 343732705; 84084362; 940463291; 279545175; 71029752; 489946163; 623944572; 187643603; 1059380834; 77728570; 187633893; 375664650; 439767045; 235567594; 40841213; 881894472; 819596067; 269805171; 971014127; 666367146; 916789663; 609156042; 961858433; 781622437; 780259871; 18833094; 276513372; 530081017; 242313637; 93826215; 489926145; 602363964; 712604044; 654554684; 1039317006; 534543314; 355639803; 1072907636; 1057192488; 979202338; 720172592; 755852854; 1004091283; 994228899; 841570367; 952386878; 887709939; 328089925; 381231329; 548103517; 792325690; 548014932; 87907376; 840016559; 155974802; 328540683; 246502871; 524549539; 971666747; 362213069; 863006268; 956008754; 335559594; 916620598; 613380613; 216534446; 54054647; 817242726; 644974183; 878305567; 182757750; 325255308; 1071763056; 692108515; 484822097; 606716588; 503840620; 374909709; 659637476; 670588656; 915814356; 731360309; 531411317; 729293202; 130758457; 610296811; 379788257; 176550885; 337309723; 2811623; 768627653; 105746038; 710666614; 33384067; 657096342; 914326839; 535193748; 546411098; 2872650; 558595569; 872698336; 87252286; 730026176; 890878216; 523628376; 654638480; 357090825; 298339419; 692034971; 1017511605; 660128032; 38269873; 352394387; 672591412; 495027360; 221438287; 57853395; 926103393; 571912086; 802646045; 651667987; 172667837; 908936308; 375353371; 783472546; 200445342; 549734795; 49945512; 890866324; 39654940; 602059897; 1019088140; 923179336; 875247797; 43209903; 217513643; 1069728113; 591537467; 509779610; 809818779; 530774884; 475348781; 4180002; 403016715; 794943553; 56441253; 101413248; 265737172; 914764448; 564250103; 940296447; 90407970; 436607364; 690435039; 375718365; 306288078; 697769733; 745003597; 584108398; 223188503; 458986414; 533695600; 558996296; 995701957; 102842069; 657282530; 926219604; 888582088; 241269102; 668691971; 377810845; 467900715; 864843229; 167457526; 668309323; 966822330; 727238935; 87846981; 79340304; 245291840; 874816238; 828253259; 603802096; 443046718; 16412912; 997354713; 508993350; 899168007; 99028889; 1060530497; 610574473; 2923276; 677089921; 85077132; 688518733; 274717947; 605732767; 661121352; 168230593; 455886817; 655408174; 554088117; 976459370; 558177387; 725714789; 411757559; 537826893; 803590069; 356790752; 403663093; 279239703; 571680235; 375266694; 704992712; 728434649; 221513059; 351592636; 681306780; 230539572; 637553183; 1033493760; 693829900; 63541182; 170676810; 628680539; 952411415; 801771937; 80092733; 174147435; 504441583; 1037661893; 868528991; 103023227; 898499399; 842538397; 890630446; 896773317; 776858109; 374531696; 829989757; 237131951; 53240464; 923659913; 55018074; 954431219; 520487435; 14423216; 283991976; 396227771; 789365347; 514551686; 730495230; 42838253; 12690263; 630010800; 375348708; 581138678; 977078896; 174133755; 145735830; 769455824; 282899953; 219587054; 1068887865; 29561029; 689391604; 59149860; 458399579; 1072640735; 406404079; 218083022; 1034251856; 246098891; 1023554129; 456820969; 358686761; 786581875; 323703148; 863662536; 968935437; 83175231; 387145306; 553900509; 393886200; 374143090; 315326019; 590864011; 258931400; 142324628; 257240126; 421317753; 897895187; 201589784; 889522410; 613059563; 733678654; 840413603; 941831202; 876691120; 306887864; 1001708890; 294017988; 1026784424; 479345361; 266804142; 595197624; 225273279; 993807493; 936474586; 662942081; 67023828; 395482576; 376889804; 803401096; 368013964; 143832667; 333156595; 805737964; 1022307009; 732113907; 495764152; 98859959; 635981744; 714711905; 352069900; 433846190; 567020843; 283080719; 236765015; 365174236; 372120069; 157797366; 739785271; 810765468; 816756670; 362327515; 261086930; 709919247; 807278434; 437644628; 468844619; 29177888; 337981487; 605356890; 853869981; 972459113; 305287483; 76065382; 537527980; 1062102398; 74018271; 466095269; 85345445; 250248644; 564669429; 130383253; 168845305; 393950990; 1014872067; 1060234587; 959531929; 359095581; 10526720; 930525004; 754352671; 425200363; 563268439; 946274250; 286510157; 965672337; 629020150; 877707458; 332655235; 102348740; 511549091; 512393483; 1025091011; 721049423; 611029180; 95158803; 1019602841; 409993387; 603245218; 258668553; 440559297; 673718542; 763885318; 549020028; 124765476; 467922359; 846431916; 683425974; 973653946; 833188783; 827147273; 374497995; 944252671; 125727069; 544908404; 240273960; 330838789; 716523453; 242427663; 952537093; 846931155; 385590472; 227205369; 429148590; 975406695; 348937512; 3206699; 854462991; 892988852; 945814166; 244867469; 857124873; 535103776; 230631150; 347925106; 250358729; 1021021278; 215344320; 360414178; 167531105; 843089130; 774550805; 288061162; 179097689; 377399291; 603533338; 194891831; 712760651; 925535617; 685840504; 737210116; 251149470; 759240313; 782921086; 440411179; 741419732; 757405130; 878181772; 81035611; 135775046; 314720069; 151439731; 402634993; 332424588; 1028064464; 881038012; 796096277; 67528252; 254511781; 693305119; 524887616; 324451898; 197462318; 806552007; 1007446943; 820991657; 958031788; 922703359; 892000382; 548233134; 520035350; 349470998; 994763952; 979077669; 576766623; 988666461; 168296516; 602425739; 978393067; 887439063; 1021176199; 59223838; 320294644; 869026500; 598028433; 923081571; 705253821; 873040919; 729578935; 981649655; 434649083; 403395693; 27762862; 98286942; 628624429; 223988542; 59624479; 663808689; 938780689; 169565489; 1054456534; 270893656; 1062390952; 829589400; 481961989; 756792334; 125181356; 1033778940; 108984570; 466701525; 304053490; 991428414; 553050110; 665214683; 1051437848; 175856871; 727463505; 673110753; 896467677; 859142662; 227622607; 285222033; 806646640; 536394096; 493614888; 846164599; 612112317; 185002990; 747211220; 147699579; 801159755; 698557442; 502255612; 977027914; 98856573; 177847528; 315905880; 1045991709; 1038173793; 556257532; 1008734745; 698569907; 435994846; 983929638; 706281710; 683424656; 258100148; 254078603; 1068500641; 914895192; 268359201; 795610261; 75405132; 642294427; 498021445; 309586091; 586998965; 555483740; 1072526724; 841315225; 196461951; 794534776; 25222080; 556000909; 931183273; 272543916; 386617407; 951840691; 611677936; 325780843; 627484286; 741954620; 1019287815; 22883785; 166851862; 311775901; 886159229; 56281452; 384040914; 979296505; 269262353; 634377933; 632049099; 882567818; 580206864; 1073234846; 509587318; 561827358; 393014020; 850001596; 84926429; 524211720; 435104261; 11212545; 290545756; 1016991419; 367485927; 613617138; 936341608; 9577172; 505127848; 813530748; 867419591; 91882284; 520975397; 645915725; 874394087; 739307900; 519117191; 388707470; 479465768; 145094191; 831228198; 509622480; 651541173; 389683921; 934523386; 236426472; 64530996; 779121332; 245006259; 497665178; 54303424; 573154223; 37823513; 1022281725; 1026903148; 701909730; 687524373; 928015895; 359498604; 796631812; 634926732; 122099372; 930810034; 588824269; 971731994; 280810950; 467833715; 359251072; 843345816; 713093645; 587464968; 499668986; 256163248; 472379202; 944258693; 597274035; 928186832; 609304457; 799068544; 1013964935; 930548716; 633593049; 750802582; 115853600; 85342760; 876937435; 506423596; 16388359; 1067229007; 680610506; 429427652; 380356429; 476185795; 645444774; 621409331; 943784053; 144477484; 128085548; 225794098; 839724491; 861212237; 230527398; 655475241; 828583852; 820217556; 963799957; 1035930855; 159972101; 711358934; 176685227; 1051702591; 604991145; 1009104584; 15372920; 368024355; 675173482; 756866177; 1008799025; 945294682; 912499199; 126540065; 443775690; 286524779; 75612825; 104707979; 320526562; 619407558; 668944913; 891736539; 767794172; 112515152; 787755632; 88973281; 971886330; 1004183966; 572471787; 1035923474; 47164190; 426502478; 847052150; 7207601; 833737935; 631579882; 468963824; 234949677; 957172217; 800217554; 531337379; 382577739; 374401114; 1061226617; 21223086; 694135828; 69170701; 967878968; 785286975; 440715872; 682546818; 113407316; 281476217; 207248754; 600474179; 380395154; 150088401; 57599330; 1063315498; 203277951; 756967548; 570492438; 518661682; 408476618; 1017691842; 727003616; 871004761; 168953366; 1062261620; 637873032; 807823510; 412921040; 507887538; 62961913; 216611171; 1061067688; 186603340; 841284440; 845064926; 596955837; 200110806; 434026922; 918702432; 588579059; 90331612; 85240569; 56434517; 703759457; 1020224362; 856898507; 261675966; 722137325; 545751684; 688330200; 810373020; 770961377; 276007899; 555587899; 661625520; 533828519; 145105188; 247575458; 925972007; 651190978; 875363833; 537550751; 546446876; 95603200; 439598785; 343034282; 44489628; 50809270; 280422941; 478529076; 292771369; 63425127; 30649056; 403210968; 613803164; 438002594; 147409944; 717770473; 912521536; 433020603; 184085586; 665602145; 264842273; 133314606; 828214630; 684309184; 1059607899; 314610009; 304021034; 208013288; 334114713; 327356557; 490243600; 799457267; 871219170; 1023700312; 169100018; 926439891; 473953213; 1010117400; 385722827; 627107400; 585556603; 423398830; 815026470; 64559171; 370655726; 996416964; 868534939; 870225786; 332644459; 589439005; 9858739; 1022051621; 851666454; 34308273; 828243640; 368611364; 139031814; 533191033; 613145043; 193121858; 928095542; 683927721; 844686288; 1029202033; 501431560; 427257348; 958071492; 1004519107; 295009301; 932493688; 835869163; 53035080; 113072677; 120903139; 255820374; 526345735; 564005134; 486932018; 413513723; 820217192; 957084009; 312421180; 449183812; 21383223; 414868066; 66416708; 1068424404; 868432019; 39051116; 97092166; 749325912; 593306835; 1031421380; 925839928; 90216497; 232777595; 503273234; 262002107; 164798603; 653074104; 891429362; 688587384; 63621793; 848159332; 434761368; 61731968; 260525659; 343952809; 944039089; 802096469; 680588212; 86706896; 875908768; 212487136; 514338599; 363222060; 752341653; 1020917242; 530623421; 289579697; 610048764; 927383915; 200269916; 663907914; 1010392746; 850040914; 967482805; 605052860; 849522425; 3369753; 1038421463; 360254872; 812710214; 680251683; 768639467; 41370398; 392631691; 637336767; 943973381; 1065964855; 815439795; 1068095686; 16661938; 330865705; 260114151; 180975084; 915114246; 941416472; 129661529; 706820183; 973739520; 548924196; 954874226; 313915312; 847966089; 497227874; 741811951; 343537187; 509101252; 146228900; 976092635; 13014324; 1003939322; 325298369; 981903701; 758129721; 15293187; 383090941; 930658243; 234258295; 145226475; 842869039; 219493832; 103917885; 832670521; 872982932; 15018389; 624750666; 360292938; 872370261; 399648636; 322753303; 1022357325; 1022542914; 291857142; 342722019; 299702027; 106010536; 935172248; 331079826; 492347779; 40040345; 716936252; 640227952; 96627353; 256340765; 6583701; 369542674; 357243654; 915773087; 653824993; 177844124; 812945361; 1062614504; 327192472; 532296045; 796163127; 984009433; 462941662; 483845392; 329563239; 1034253337; 386051247; 797339518; 673354364; 770311302; 544581649; 954788612; 219453043; 1017619149; 195787896; 74645327; 599007109; 832000000; 701277365; 720042510; 606547266; 377030032; 16755932; 72026919; 9303448; 350957623; 973856425; 503013227; 409521789; 836815377; 232112763; 165686932; 652400655; 710062818; 785084769; 1018762161; 503615712; 29410896; 29192607; 145932995; 456579240; 527392341; 777741972; 819128501; 364070127; 130908506; 19278434; 889155101; 467089997; 617291867; 1057671884; 439783345; 540438434; 281073574; 322287457; 750958122; 247148841; 457015487; 609915904; 492190795; 695996655; 624506967; 581248866; 854568264; 819206024; 844098838; 1047938861; 363271068; 461102373; 70900836; 581840673; 911805574; 910906639; 299453703; 82371831; 981682700; 248110392; 105627306; 708925763; 333452172; 173442905; 654519770; 788006893; 1040131312; 412335113; 831258209; 539045104; 163677597; 934496179; 596832918; 969907612; 560044426; 572848680; 73773830; 524665660; 347928877; 152099897; 331489582; 218245657; 288365074; 41248905; 961633218; 555567603; 36370320; 771909919; 549702199; 8042846; 978579782; 438996115; 176555715; 398617329; 594263922; 872744826; 43557576; 43291369; 656330404; 328212183; 32150193; 309946642; 220857866; 627552202; 679231973; 425805582; 965659905; 128266146; 520101242; 740594883; 967061798; 706179244; 278641603; 50713522; 981014926; 301732277; 347947197; 721560210; 1072548536; 597820071; 100385601; 336423164; 201790812; 292221305; 497225673; 110787670; 755828125; 124292890; 114107343; 453988037; 441203935; 905104721; 803168384; 855918595; 758450537; 873724572; 1009062269; 76354122; 195006151; 745531213; 341763206; 396967577; 258086725; 118627074; 691088136; 769680672; 21491446; 498216551; 265050633; 976514677; 398301600; 281194227; 346337597; 706886325; 653840029; 748805705; 502101388; 118136298; 286663238; 548367438; 438601149; 793330242; 276286108; 604719828; 669736542; 355985996; 29195739; 721608436; 860297611; 1032646050; 623609778; 421897919; 514341384; 236720384; 310016823; 128144955; 18482833; 703970681; 894187472; 161121192; 765418507; 117883884; 823471940; 202838302; 309575755; 626043437; 141718126; 447964041; 1028556392; 963332586; 1028874138; 71781938; 176385246; 501730833; 661658911; 1026681709; 81532382; 954136905; 286716190; 442286008; 12197831; 415180673; 693480425; 969725912; 477885478; 757409474; 199148741; 158788301; 411022427; 716993056; 344371341; 59234952; 660688678; 329479866; 982624266; 345499664; 12867413; 299505616; 996125216; 131950354; 1029775496; 998840076; 873292051; 108414201; 283468662; 286157811; 670979922; 391521294; 337063658; 905539177; 357706027; 185831883; 58052829; 699331433; 848906595; 82033905; 593976714; 563170395; 101763244; 596209495; 714888342; 218370191; 953753245; 337250766; 114793899; 566155093; 268284563; 671043348; 548659888; 165523993; 722271189; 52106939; 4898361; 715710400; 555455892; 106009415; 616684292; 601209512; 602423879; 387072662; 554447903; 733623209; 339832427; 755579497; 7345601; 931949544; 29784797; 826733170; 761608838; 422968713; 703187983; 761533632; 417369316; 103574634; 339241956; 382887687; 657533676; 702011657; 503111745; 2125766; 378659568; 34072915; 399008963; 1043466587; 139936360; 1021358374; 648866186; 171369905; 1069061234; 242429923; 440743715; 214098964; 179411401; 781194630; 833057835; 1019305934; 547594712; 793853754; 869727780; 370275391; 1047565129; 111157241; 741378823; 476022804; 954865291; 839015999; 358671311; 304245710; 1042120719; 841150719; 34321130; 687540323; 126680818; 159752121; 421357208; 301937677; 249928701; 930252301; 798104201; 78342294; 177315265; 169325205; 1037450754; 33904909; 413177201; 422366573; 90056507; 759204045; 468310517; 376509544; 101570307; 502271036; 1001692051; 927650210; 20741710; 904687118; 410919834; 470758757; 699695386; 582425943; 56265453; 710254277; 25354295; 861847931; 367523691; 501783007; 113130396; 73361070; 580689396; 867984287; 755267864; 644345949; 170867188; 452608095; 486776122; 865325289; 104896217; 354839285; 893744036; 452823931; 11036383; 261684034; 126811942; 456142763; 970306494; 708099723; 162739184; 841326082; 337896125; 130379407; 828629596; 1025146097; 295443731; 879422288; 768831447; 568082484; 137794596; 663180508; 770999614; 285871589; 955280645; 228826134; 50153427; 544849042; 511409291; 983149636; 151067935; 1058784902; 636057215; 914630164; 679817771; 975208724; 158296135; 72082424; 101389322; 5351682; 321965218; 852940965; 141399174; 668616097; 188611795; 236498868; 878867521; 909448356; 765055331; 313626042; 283190415; 362714204; 11117471; 495325409; 347501324; 377669184; 633523355; 77103577; 1014956277; 360470297; 470070573; 226390450; 869753714; 692176633; 518881223; 410982755; 408791051; 22934735; 70734939; 297230394; 820743748; 323034894; 801981477; 196806828; 75028273; 982167116; 1019699882; 215860824; 520050966; 912572720; 32429843; 970435984; 827435284; 779466976; 153961969; 1042417436; 225836788; 408596912; 518995720; 942494410; 315987650; 667231128; 559096497; 941917643; 564220061; 275751855; 646215818; 44329995; 469695341; 144317957; 883128891; 1071111786; 1040835818; 555776053; 153761942; 406765744; 816832944; 461876264; 2556698; 1028342197; 105347956; 28043035; 1012547327; 379481915; 918505136; 559893939; 1035954367; 414927387; 780141312; 971076503; 791968032; 333083861; 108309347; 442497822; 890491264; 697993858; 575995092; 531035917; 324194247; 122097995; 671978585; 974816191; 505487277; 1066902054; 393355909; 973769891; 818700867; 326997301; 726428769; 558021374; 350029093; 492684820; 337510973; 600574641; 696648929; 459569056; 62564544; 431034866; 1039328215; 768860351; 704421421; 299117342; 597961416; 393074926; 157695907; 45599299; 978597925; 223336463; 559473329; 170839235; 320628380; 1012509907; 900210735; 616900847; 814050696; 747283483; 539052105; 346154328; 212757599; 429341772; 704311084; 461313063; 676842697; 31121903; 577492969; 593730673; 1062746704; 46302456; 309035391; 908926124; 673303; 669505523; 459976436; 23714588; 639723047; 94899351; 662782752; 928414986; 454649957; 441233728; 1024787380; 592515384; 504342774; 425203816; 300796699; 355557001; 67745150; 1072143086; 28873497; 773775745; 680641306; 6987749; 776909616; 819192703; 80033124; 1065222877; 541906014; 364603665; 526095797; 575551843; 617294402; 915484862; 331930257; 200714693; 643054013; 20608903; 898644587; 347038872; 474666744; 634511535; 62913344; 992671731; 739518768; 258893976; 961434164; 953216334; 135783516; 888694464; 29858826; 951617362; 846736634; 172802038; 249022769; 587432215; 536386725; 160589300; 534695360; 405706516; 59367260; 434858819; 175046387; 934167479; 103597593; 404198256; 571885907; 737844846; 826260589; 1017445711; 84479922; 480845036; 835027494; 631202737; 870652920; 948321989; 281131825; 908263678; 282305754; 804134622; 189877688; 268065316; 518228044; 344537945; 976575486; 151656671; 767860943; 906572954; 521258408; 749798186; 424995873; 272648753; 86160539; 879219022; 62126960; 512036442; 118518882; 403782950; 687813589; 156604672; 15465354; 786491647; 998411562; 1024105372; 810691259; 327471545; 235727438; 37217870; 743579837; 451091168; 315808867; 654036394; 259888530; 682974611; 386638283; 690482842; 528098089; 143120008; 956981724; 663437753; 573094350; 1031552205; 388228789; 140526787; 737564297; 182875104; 640641329; 963017398; 572656694; 917050090; 602491162; 223145233; 438230006; 612465388; 1017139465; 226373216; 661794672; 133358077; 164783777; 501742182; 930951198; 123226390; 433032039; 1024684535; 295152710; 39609008; 769859910; 690568400; 833338910; 821533768; 259614790; 885283439; 731653174; 489632335; 820965385; 1005816615; 563314616; 360780786; 752719159; 488455473; 823764713; 1016038392; 894560054; 606686731; 670600564; 1056694594; 853902719; 1037986066; 915046540; 22830911; 334919489; 652838384; 542719838; 953976095; 971281971; 348706895; 771790529; 324523301; 497830514; 677335792; 850002800; 178121519; 542180408; 346178149; 910771807; 483882965; 425455006; 955063462; 1021040395; 795287378; 122852409; 1015047156; 170763796; 1018538558; 471862411; 929565925; 135631999; 662415228; 849049642; 970694264; 675139897; 585533408; 709106885; 948824826; 385715338; 973120693; 158449883; 1070719645; 982471530; 910105976; 863332407; 325212721; 788408308; 576532362; 381314375; 150266199; 327417693; 264373773; 713666427; 888714315; 837085839; 573664597; 877514399; 713675244; 575320350; 634595662; 815718512; 487511720; 1040065357; 311683593; 406340823; 104470469; 1020937562; 401842134; 267897409; 669805210; 739578420; 795964846; 112082768; 786462678; 905656693; 106178546; 30935865; 618329660; 930058220; 619364155; 230067089; 981379029; 656947680; 1050541880; 559049976; 610078151; 14619389; 630149041; 630091780; 870221795; 206211327; 849391280; 1015445202; 488477545; 876024405; 204413279; 938888036; 820253875; 350037678; 340766668; 383733529; 870526638; 802554856; 804073867; 49414601; 587887664; 395445149; 151991290; 853656146; 1071305600; 113318219; 386440480; 324183764; 40704931; 110115568; 986140998; 39129464; 806857137; 450902670; 302444188; 18822944; 750480688; 66517782; 589204874; 506333803; 496358109; 535881154; 234757857; 469814633; 374693676; 607888402; 566134130; 675746924; 960786217; 918985875; 893614476; 646136185; 80454785; 478957639; 296078279; 720966626; 914397993; 46787070; 218519926; 621926872; 662618574; 954867410; 125026369; 97607285; 220986960; 140965110; 156860719; 476707934; 707692287; 526935623; 524102104; 460666522; 473329717; 448503099; 138302629; 852558422; 87939031; 793550304; 516644650; 589952734; 1064245655; 961652616; 812704852; 745082304; 1033226661; 687795315; 360844935; 228028719; 392126717; 493613659; 476890295; 810939116; 622520259; 823859202; 738737868; 827746751; 367580465; 292166854; 1022164729; 462246008; 702342116; 932832078; 299450967; 336273229; 909456404; 782379408; 332738944; 550679393; 155605175; 959379484; 238146711; 359866276; 662865050; 322558099; 714864253; 855145546; 79306089; 588139395; 857390700; 983917686; 451511446; 915611990; 363386999; 239298935; 778754031; 648572911; 771357315; 241930588; 127719955; 1063728267; 7486189; 751321811; 558414274; 886685639; 478354867; 1009838486; 1039066098; 895487058; 35115808; 726327110; 796043034; 606197307; 211200830; 492463801; 662817506; 560184437; 789980409; 603838657; 432734129; 726081001; 947212882; 706108906; 107183653; 84144556; 664344290; 300080885; 1053351988; 156815239; 585948864; 984739822; 138548749; 101209673; 670237783; 575878015; 106382955; 1047712906; 841126618; 446864871; 490635295; 681184205; 1013605220; 801750072; 4908866; 744559138; 670942449; 563124690; 640706259; 616409979; 250615680; 425004158; 591954761; 967570379; 135178056; 1010898289; 1020613120; 950953877; 930575067; 528491274; 712941274; 464382775; 201416490; 76543772; 419343381; 282257313; 186603786; 929025948; 741742574; 1721900; 508928585; 725892952; 958354088; 345577265; 730839920; 550666328; 112263389; 573678216; 197583573; 166075011; 448828088; 600987294; 768016490; 227350307; 323268992; 226534154; 457454216; 519445503; 672862093; 521396701; 981832189; 370666212; 996247097; 794996189; 203779138; 450069014; 522750364; 984487328; 792568144; 273084959; 752120573; 146825119; 367870115; 210834858; 1004839130; 347880810; 764539029; 839417110; 542311882; 583527822; 802126325; 61656445; 322125938; 896573608; 327977295; 592317522; 266238286; 822096106; 460174300; 701688420; 421402716; 777011189; 497234107; 1032262347; 993349316; 310071741; 613986645; 678097357; 99541278; 130743390; 276236716; 707224664; 392377735; 1043135741; 787591061; 163822967; 46886442; 798469990; 870269197; 34065908; 447798374; 79139496; 89456791; 921133874; 123070659; 61311311; 258289432; 299291020; 234558621; 412621347; 1033526713; 55858559; 693143662; 657547313; 682256765; 816318149; 478743624; 735345413; 754391849; 366557459; 586543713; 98125627; 710739652; 1009916116; 936658937; 192891452; 25262552; 16560633; 425997957; 615756032; 904723267; 268633556; 748990423; 624255730; 898486872; 654720400; 905327144; 265744134; 974347728; 789804901; 13344568; 340723123; 417873429; 501921680; 727494905; 1037835214; 636439531; 562792797; 863037849; 844009330; 991886370; 900585836; 565679332; 1004488786; 549363169; 201643177; 237807755; 157908835; 132256978; 833913350; 252636010; 1009368807; 257226980; 906634891; 440850029; 996597710; 428891158; 637026846; 66177980; 187905785; 750470952; 154115113; 696818452; 619013898; 436815361; 90099627; 1021983048; 29343050; 461597463; 707548460; 810576619; 685334201; 804978670; 978817964; 986741369; 308916143; 392762556; 1007613248; 496272033; 505267320; 884107141; 276465399; 945520128; 176705054; 60727116; 197617852; 118279854; 384889912; 69393957; 707634858; 230746326; 187634798; 743393110; 393810004; 484561369; 763874200; 237080215; 608537227; 636078702; 459863933; 664170792; 657773408; 106524938; 621820201; 601739393; 972882651; 253935615; 751488832; 577087158; 613831036; 895432270; 716926173; 695103459; 272961375; 945767478; 409023345; 811800015; 229474288; 693409565; 150408806; 706414844; 1045532310; 725034210; 501009799; 171198859; 966586544; 57448209; 166933648; 411863685; 405932753; 130638823; 1069529085; 557614815; 766560762; 718597869; 361684576; 161669365; 444110187; 865980953; 863482376; 763040963; 818660518; 387183895; 520989845; 446490712; 285978053; 147641156; 107067517; 817304979; 197926191; 151929870; 851434537; 190103123; 592380975; 19447748; 676545194; 877252972; 5047709; 507482115; 927428758; 999340822; 607986450; 178232498; 931467746; 650943783; 559874160; 981800639; 709302515; 432759954; 1032061990; 162565954; 680300029; 680995936; 448329726; 328076849; 380735099; 776571446; 1025338120; 674673965; 313000159; 771562552; 679884904; 867178872; 417028991; 769737822; 676115890; 744241268; 403486545; 386742614; 345658948; 920810607; 393473534; 868116770; 721897822; 220602611; 502693048; 990280339; 576316169; 600918275; 854832356; 46676231; 209382374; 302419223; 786534413; 968808935; 118116160; 494754829; 704767385; 112416500; 126430875; 979840860; 848283967; 757858222; 790280443; 456885299; 343228877; 791507619; 511613232; 809111846; 36162918; 194996189; 585865961; 12990542; 150084121; 427448684; 77958891; 910856425; 491951728; 1054271643; 291018579; 487012964; 767328295; 608348601; 624901557; 482039540; 350065694; 997143181; 90863924; 529489012; 1013307358; 733821667; 200653832; 223770742; 1067436062; 988733945; 1049191370; 996775185; 306213894; 766071072; 1036645548; 327304625; 915715522; 295694118; 284343440; 860674051; 172112009; 277066318; 339861498; 627355191; 446498069; 979158003; 808079929; 755124840; 609747969; 921590025; 505399735; 469295309; 632271865; 507298357; 376533293; 98375333; 777901385; 919467654; 70946790; 1030572943; 288093111; 465507752; 1037705060; 823979082; 501591233; 483143205; 646164179; 388146399; 436711986; 557233925; 1039439527; 832247603; 363221717; 117266843; 280278792; 24456073; 403997259; 782061531; 535430980; 896286207; 862126965; 446529270; 40394043; 746634932; 88278530; 515605637; 543838940; 917191486; 214165632; 348274253; 816938344; 74698789; 74594768; 918314852; 209669604; 740353688; 452207581; 628390482; 868304201; 80134981; 808879441; 153853293; 919448707; 589564123; 712925484; 831710760; 1065261824; 271584920; 387139167; 213860842; 7850059; 1062885590; 695644767; 797529291; 548153842; 601225133; 1063742655; 436871115; 1045292427; 432632670; 685728498; 834125670; 814654963; 138083526; 1072947327; 88307395; 838255466; 159344446; 843264733; 160468786; 540901147; 996504564; 272309718; 390748860; 276736041; 12508377; 729688461; 119930949; 357810764; 591146016; 719511598; 677022080; 478332465; 943514633; 193095115; 635622541; 164043302; 987788704; 236996389; 855388106; 878364031; 1028264055; 877768988; 43928097; 441517434; 592460080; 472127005; 1033200033; 887034956; 880432073; 1003109907; 1054393122; 664325321; 838448211; 789875064; 290795943; 892341812; 405850046; 224282940; 309893806; 432206703; 458862246; 734678013; 374908134; 811410622; 249573978; 64265522; 41179063; 109224715; 318936743; 510577517; 931076917; 172629452; 742447551; 1053390675; 89001296; 905267984; 632996084; 786475063; 822698092; 734492906; 80155357; 905830301; 267356223; 902843964; 132102763; 1064093711; 579274399; 323892418; 617004226; 46316618; 795466555; 18588309; 475320871; 86672824; 639174314; 752944378; 353392713; 143652988; 1063019650; 867861413; 73041315; 314508223; 272829660; 388351117; 209086563; 401952131; 990108431; 7504577; 257547141; 747951778; 544965446; 98551800; 513258287; 613823812; 120001524; 741749088; 482103991; 272673477; 738534571; 692050585; 583497878; 515070833; 79063895; 23279453; 715928386; 702689363; 205792466; 690808939; 526371079; 96953519; 191478853; 886338887; 764665553; 550411261; 538154069; 288816665; 623369250; 355096571; 754770343; 972230457; 767232225; 1053764346; 761351686; 50790773; 162056116; 858211213; 792533549; 412978946; 623048847; 108709016; 328709080; 176051524; 525848058; 423359679; 860328772; 514805795; 484754047; 1057234653; 654763442; 291977859; 882457930; 459129301; 366483620; 1008393847; 766359178; 261360102; 30648614; 1008322587; 666863988; 664560518; 621632896; 511310219; 1008414787; 539865288; 233916103; 895186632; 471521112; 115295575; 479880443; 725274198; 960471061; 516402594; 578498277; 530469546; 780222133; 1019124883; 209961334; 856545411; 181348422; 694081415; 715115289; 1031956793; 183663400; 1027294834; 688655077; 449887660; 1001524190; 905614134; 282901593; 885291355; 1070158854; 494927487; 155199365; 1061078540; 260532801; 484894485; 506852050; 397396709; 142673680; 383264978; 1039729469; 760965508; 496617751; 905449211; 794091468; 639418451; 806293170; 129056641; 873687051; 228506786; 392328415; 431285312; 130215897; 481433240; 114356416; 639525888; 1035802583; 123226175; 801438925; 370856639; 879142121; 489963669; 648685550; 265617883; 320689950; 419031147; 295536103; 271795270; 6298753; 4634453; 934881631; 286269505; 464240846; 192704372; 500013295; 61757750; 334892718; 159688605; 917132744; 652166315; 382753672; 597500909; 813723185; 828961884; 983737067; 883140703; 837461155; 630138756; 10399121; 609279947; 894511506; 910353469; 524239316; 441675206; 1025927232; 1013442694; 770008311; 363054756; 986964801; 940303271; 225355282; 870243883; 359659559; 657980387; 757561108; 785517905; 433292041; 278898244; 368126281; 828768597; 530344509; 647706837; 861045906; 760290974; 717332779; 928146095; 776264983; 1068318992; 389234236; 109697080; 887826513; 5171126; 727352197; 678615377; 921348161; 1010832207; 199799791; 607540468; 761157620; 308780769; 208215080; 404074637; 263166859; 140140229; 99648753; 1052844543; 775103543; 457840155; 606170780; 833256411; 887206963; 498772820; 598689840; 279285433; 237079246; 800912205; 336193180; 372646738; 474744192; 646714716; 1047825894; 276913513; 994303925; 522029534; 839130294; 1067580398; 679607211; 548648313; 78943230; 737204811; 581768171; 1058947865; 638347612; 299983794; 183391395; 772042071; 983353143; 1058204244; 60974397; 904393299; 63195649; 223212789; 859073285; 766941102; 916225247; 54666028; 295881744; 403160144; 258931801; 375742535; 459661149; 521360908; 1021893840; 407522237; 1057919114; 932267595; 876521071; 939425768; 1005085677; 1006574679; 46055940; 630241590; 971109636; 220960334; 517417155; 252440936; 353728500; 4571690; 868142910; 203005070; 790902901; 134080464; 256242442; 57161287; 1022918588; 189097651; 402365549; 687969138; 791184065; 167641168; 23256173; 1038349258; 275152048; 203703533; 699366249; 928216992; 23482684; 571875277; 132685468; 176265472; 659342923; 1036108685; 833329202; 308958237; 614888933; 552789165; 558133136; 273419229; 547050271; 684527182; 802887057; 941026516; 57243001; 62695762; 779142059; 976532520; 59250825; 80388966; 474648621; 576216174; 163181883; 766496793; 366655486; 307483189; 923461022; 505758364; 471633504; 343944931; 527948753; 894397749; 533310999; 1042659625; 1034470680; 899811579; 11097800; 208883604; 781928076; 907762261; 911212082; 1022410034; 7446641; 842116254; 740156375; 8060832; 1050073935; 541204730; 602991477; 667006677; 118584809; 258918156; 914285395; 158588398; 957547541; 507617923; 610537124; 186238733; 435351142; 743516325; 326080566; 474834159; 468539003; 85872501; 1022152409; 381159623; 704282418; 3468801; 528647076; 333414789; 352550832; 186846731; 90536131; 418157380; 228281637; 576660506; 387614403; 117069247; 1068809979; 155301218; 379317714; 394854748; 246345183; 573965172; 467797143; 687343157; 1029830892; 245031576; 773661823; 248526742; 204281942; 703657765; 216634567; 48218509; 753530473; 774087954; 751729098; 510428963; 308268586; 422052367; 598629526; 499140844; 164983429; 480507651; 820382151; 859852626; 297293687; 754706189; 41533741; 222181618; 125721978; 35504332; 555005918; 243218510; 249583230; 36164326; 367997786; 186466498; 402010719; 512918952; 346020849; 487057808; 325896854; 821847728; 1000674745; 473999000; 152591064; 740618908; 887846639; 416290611; 401649009; 372925466; 163479654; 1023671155; 737495075; 1053263722; 246376005; 140448516; 436990207; 811996323; 587446929; 1990008; 594844024; 416842526; 1058953258; 642241192; 147378349; 378529934; 898144698; 632229021; 946035994; 9519469; 686550055; 531637559; 376816291; 258987915; 482889901; 162123633; 553776294; 1053205186; 89133751; 40308365; 988783279; 769148502; 351504928; 911314852; 889302896; 55317511; 382808320; 72323899; 268774852; 440050719; 1023812279; 508929241; 49043953; 797207845; 375163688; 642034986; 535500449; 1038133692; 306431366; 270907395; 363126376; 619893281; 459517036; 942132656; 819574546; 964238574; 155763565; 375493166; 489144684; 117296029; 702950366; 60846331; 415567254; 1016793050; 161056480; 399900683; 469768578; 731728738; 293887892; 472593515; 118687622; 709626146; 731716347; 107462931; 317184333; 133733138; 888161705; 1063955464; 225130430; 279282937; 458901011; 609869690; 445098685; 751811163; 33817852; 481744280; 124040091; 433130356; 516743615; 28972670; 688565749; 406183048; 18682584; 505473207; 65826526; 1031090111; 658701813; 1027060042; 320784880; 100305144; 119927809; 774460477; 683773434; 820762120; 447364236; 85607457; 314344949; 342022945; 256394866; 1044243253; 613183026; 1042465673; 121104622; 425245399; 303068470; 411788072; 59002988; 613844889; 51658640; 434442351; 184471558; 149800375; 779395125; 685232189; 64707164; 303050954; 174726766; 247938570; 112060974; 899461680; 914791597; 568103388; 311149238; 762248997; 1042584707; 492138471; 529552395; 556322113; 951651126; 343244099; 87837348; 97157287; 702383725; 722362068; 524524784; 848658392; 806306751; 561078197; 410322112; 231152983; 11417478; 416974025; 480213613; 150489349; 772736282; 893096274; 503738008; 239746261; 271608087; 377104888; 877968743; 61729860; 867842632; 772111059; 983141822; 288525779; 848196576; 197372113; 186761648; 338339624; 942287615; 672926115; 987526501; 623603180; 105049638; 878301398; 886783067; 296284132; 212122475; 278663437; 875043838; 314404741; 750899857; 955455174; 357558939; 251880908; 529091295; 294292933; 471433868; 121040628; 576132299; 70440118; 450882804; 584712110; 463086761; 864717654; 742626793; 708387348; 406528310; 376774275; 1014730920; 707189546; 790297098; 1072768294; 946108315; 371676859; 143302466; 861813617; 680937547; 977984570; 925468826; 713982746; 90368996; 817499032; 45803900; 341407315; 316638393; 829015456; 554823612; 733721537; 532863231; 291120829; 26026286; 160238766; 714388637; 716686609; 130918711; 1024180508; 225394111; 439429632; 281336442; 1018926402; 1054067815; 807144843; 588485653; 957479116; 491691522; 288386647; 976225814; 443832886; 309571898; 732327338; 987206032; 193162903; 626962610; 573825036; 416332319; 298170211; 840045410; 557466047; 267194663; 1055995646; 561217983; 489381444; 962954279; 500325137; 292934756; 201724097; 806252413; 180391432; 856203575; 840515682; 681766501; 500099150; 891242316; 966709823; 414411493; 1017485256; 393438065; 864887641; 31403132; 816498806; 342757489; 255297437; 53656141; 178090639; 713223749; 460874639; 370109958; 176897795; 705590450; 917099464; 402149809; 793017591; 830091043; 930536297; 513155499; 192962623; 591835805; 341044961; 695187986; 939184320; 616853214; 807445453; 289018449; 737796353; 743602976; 438426015; 814079984; 985298776; 708445262; 250244141; 397496447; 912822669; 890944132; 306478435; 31731115; 356598337; 669715790; 580156694; 635918723; 346056956; 565079790; 508665237; 954209311; 206173094; 1023826391; 715177426; 824799907; 69781031; 779909576; 430748359; 639325997; 155075594; 1043924369; 4644670; 364770758; 94329919; 362739286; 520090144; 760639182; 540176996; 969483271; 480058715; 538985933; 426111175; 1062908303; 733498856; 88989079; 604641864; 76036992; 51474524; 150785704; 494937525; 463528537; 891815066; 668499602; 697620333; 314244419; 813151288; 999214371; 772361100; 301523608; 361955735; 331872523; 754861189; 388249387; 969015863; 1038157395; 21985184; 182338283; 776545770; 1028459863; 342839214; 9078109; 524329137; 631854056; 550598252; 113475066; 22068411; 465784136; 153382808; 645036688; 877307126; 926837683; 48074558; 620392464; 639495621; 277712325; 965394453; 71400690; 132791295; 508401018; 126014141; 444939170; 832644688; 1059655894; 389741294; 941013237; 131402999; 1047576150; 1000093739; 42570128; 727103892; 728213706; 984468117; 786279827; 135823022; 1039565781; 675162612; 934124776; 120896825; 436122834; 134120276; 544703912; 52831709; 968403533; 241894189; 680196457; 865265542; 930528279; 771965365; 641973185; 909016602; 817140312; 123986184; 900698074; 90122095; 361411748; 80538949; 946757322; 610922916; 391170142; 880301106; 278226293; 437521739; 415503033; 187609044; 460163952; 555726855; 871187936; 176227990; 1060185416; 118014703; 507432500; 382450836; 7471429; 144568573; 471248777; 650833512; 884691771; 256157146; 833787785; 420622195; 96853955; 263208333; 842884652; 960297052; 697310193; 6252403; 1000026673; 385889392; 74176605; 797954628; 748482435; 1066467579; 662535446; 216363938; 361500436; 482555540; 100122314; 490037797; 156328986; 102582619; 111439; 1057158153; 449813446; 712544686; 532315208; 240254807; 735611695; 155743896; 19827070; 631739725; 816033574; 326725241; 166424740; 920226149; 177718405; 439387622; 373019109; 1044480592; 915841951; 845813479; 84324316; 989167241; 414784063; 472559777; 1060506175; 566679918; 1032957753; 939282906; 310727655; 859753352; 959075970; 128621701; 916708337; 292618542; 290482205; 109746113; 341756957; 618603282; 438807309; 490369941; 624255673; 556873667; 676179339; 317219910; 255686514; 1002208678; 564053833; 916646325; 514280790; 99452351; 599768475; 1073139063; 597869069; 1034955574; 491739101; 447009372; 340672810; 300715868; 120457593; 812143437; 254166816; 963675164; 754228643; 225148093; 634372105; 965097797; 293771705; 645513186; 80216890; 703767122; 748321057; 211439475; 67329518; 666724685; 96471855; 330153296; 217959604; 63992873; 36116176; 266551809; 1065274561; 809110076; 580971989; 933949184; 264149371; 32877688; 566784100; 601177661; 734072944; 934323147; 705515306; 1050031576; 375620987; 406921696; 79726619; 425258299; 890285768; 644053856; 844350186; 828597959; 872871895; 87922107; 388901246; 358742451; 165464778; 225722708; 196248673; 417423190; 546935267; 308711260; 282309272; 241178229; 628469828; 141878924; 636685914; 309078920; 270486094; 60379615; 371711379; 545207379; 443080745; 1452669; 858553769; 519106148; 764621134; 1010996595; 947349162; 243213531; 177484304; 454220870; 282534712; 235181306; 796263; 1043914924; 123220826; 448117315; 116545008; 703166770; 620389688; 238674790; 148309174; 63203492; 99337081; 497537788; 716798686; 283000377; 40444342; 1012208934; 334140749; 87680602; 611518218; 529423782; 624788505; 956958355; 777488650; 457121101; 1018428181; 295083500; 306296095; 577856496; 226470407; 362223136; 779797639; 864829485; 1029428835; 299412755; 473455336; 238373045; 442211696; 236000600; 899298793; 421173762; 406490485; 314404166; 97132407; 510485709; 872329087; 87198612; 281519397; 643186649; 237269132; 384505171; 536051089; 323837120; 793056831; 1057250735; 761734658; 491901982; 110151672; 827052766; 743485812; 829024585; 427660980; 722427554; 944898719; 110786593; 395628785; 551437395; 782892944; 145853241; 302777491; 459715365; 777504364; 721921729; 51729788; 221094032; 179791467; 110812056; 485542194; 775108145; 222872553; 45224742; 835029461; 805489428; 569405083; 609188558; 770819573; 146626707; 598603228; 188795961; 26809670; 329116119; 427674842; 13540707; 588352132; 301308251; 55399283; 1040961896; 829071363; 26416501; 149846674; 734103076; 442084668; 316796636; 383754641; 613033660; 623232328; 402420456; 481958815; 411527836; 498288044; 302836768; 759499385; 122529668; 790619155; 424275655; 539108002; 28355995; 1014694971; 404439232; 974951286; 517866677; 324179123; 894034908; 336341825; 484020736; 494240810; 646916961; 858053343; 859938428; 79361731; 956766251; 249302483; 344325919; 331989736; 235796874; 903427661; 916237238; 892085222; 1031848855; 741539985; 1024952392; 259465120; 444212566; 343351902; 1045770856; 768403840; 1023369564; 93575309; 509396467; 467961882; 429765921; 248847874; 249060119; 457739769; 921586664; 124781755; 1031713129; 833570274; 938779438; 466844655; 842578111; 321896274; 535627834; 1027977098; 780638832; 481244464; 776579903; 909874322; 123732036; 464384349; 3311042; 282228779; 569625390; 904098640; 1051840626; 1013233026; 590315582; 896563209; 103197003; 270517325; 1052691738; 697749708; 553887433; 86997413; 483239851; 973920988; 155540606; 102663857; 144318793; 777072921; 263888603; 471584076; 331958659; 275863732; 235904790; 930773741; 569555268; 130874968; 883724076; 120436289; 76356699; 531523470; 84249213; 629194791; 58760878; 429393658; 573750629; 174801966; 518847810; 446683469; 146649631; 188376581; 313883881; 344641256; 220854531; 713347766; 305460190; 61871106; 117593635; 693183901; 24676070; 510240800; 697702791; 421608203; 223101528; 736745126; 354325795; 307096242; 163089440; 919249597; 806951485; 269391385; 292741378; 776500855; 633093042; 944413318; 33434571; 183243494; 39514675; 896126639; 696938654; 574129360; 40490686; 122153213; 226241469; 533960256; 109492756; 155716303; 651954339; 757022689; 260609154; 283917932; 397217689; 835735597; 1050783218; 91149671; 498013533; 222426871; 326402544; 891420434; 763528155; 386432655; 248418950; 575860253; 1061991667; 911145941; 253855684; 29423296; 225617044; 704526401; 274459877; 185158666; 1064920037; 47273587; 665324698; 346766305; 301035840; 1052919484; 374948689; 363595057; 994743862; 97631962; 412671315; 287614706; 431756285; 484095541; 55161485; 215504007; 1058099390; 894009496; 304927428; 168111370; 60961729; 920121050; 862960707; 496147506; 331141023; 963485644; 282668520; 644676478; 780698357; 1007859288; 343226323; 544582486; 653311569; 430789686; 883887879; 893331939; 588849532; 535338943; 815889534; 120564051; 469546451; 988648445; 221650846; 148158418; 658209546; 929485894; 841591641; 934803852; 253377586; 902040767; 830601909; 601419356; 428635795; 1051849438; 51248849; 190893562; 737100556; 891761302; 1048553738; 914832694; 539429834; 605949403; 691191763; 882364633; 237036264; 943459155; 201446610; 815623811; 686988237; 996301640; 280423056; 176985469; 223991551; 134427995; 826743956; 415777817; 898054438; 1046205477; 836417019; 588849468; 504189312; 62349367; 1065357180; 981016801; 511385844; 51817840; 445103173; 974733458; 767266364; 642195879; 549435285; 978213420; 398611990; 230579911; 503339878; 334915761; 173257828; 600860732; 906967848; 277672600; 688428123; 733063345; 196058999; 511235547; 493633909; 949957670; 385104012; 772222826; 362081153; 180866316; 666752455; 337366604; 720384323; 315640499; 761490599; 300309267; 872851545; 1017947240; 1030746984; 1068332534; 566422639; 346557308; 328541113; 779475344; 15791308; 995710415; 332437580; 1033838832; 976495596; 37096544; 296911752; 92853745; 886058935; 97770279; 890084759; 801792032; 40865010; 152570495; 367798454; 610285114; 277214614; 276830574; 571951947; 446438551; 450013985; 833598545; 1046172299; 788608031; 425179942; 295644609; 1019921871; 231828600; 549175039; 507606079; 334582297; 118075874; 864373253; 157988983; 80921071; 961964039; 218237892; 466380221; 718335070; 823104147; 794308761; 138136068; 918483619; 390182600; 281136475; 303789521; 1028330497; 359802146; 866042924; 615567751; 442386635; 318993457; 85211979; 315317532; 98039759; 520073293; 216065036; 321167234; 729016040; 5551212; 656754944; 276011619; 673676549; 601027674; 917333557; 1020301309; 606558011; 774185446; 991727863; 419207648; 285475877; 418813382; 696434429; 628013001; 1051542427; 298442029; 68502670; 308775896; 649397011; 1020869805; 50274328; 625971171; 531098440; 673453834; 227581047; 409433632; 119304603; 78753940; 824186660; 179925888; 993896011; 28693175; 14099493; 207663728; 535143765; 875181061; 248245870; 213030847; 554111788; 844673547; 946526697; 286588549; 6064262; 637792587; 1049122467; 327450242; 756218376; 207242920; 85997322; 340024561; 675812459; 724499108; 300344197; 862670673; 864769153; 342269257; 330748175; 923045999; 327204566; 82413781; 613947307; 137138952; 313405285; 280977153; 912149570; 367752131; 621482310; 218716113; 306524692; 247832751; 657187650; 6656292; 388139380; 850795866; 474656549; 68212106; 658982830; 603671292; 919444475; 868085796; 595717629; 652916236; 824696107; 304493009; 683869256; 630132358; 952720730; 912088472; 107243635; 56524841; 680031631; 822457759; 471716810; 805976327; 346246545; 283942547; 46318839; 202827464; 966424154; 1027144994; 253548950; 694160937; 94780647; 104454611; 405104410; 1359063; 267066387; 824351407; 456576210; 1066134388; 381975281; 622728579; 666540079; 411895162; 510317106; 675898284; 664664724; 652866342; 455603307; 796021855; 990179720; 718170241; 81154538; 443387089; 76921169; 839493075; 696200006; 351631678; 284666972; 328011585; 350402070; 354258550; 57467336; 608030281; 944519307; 555812939; 568222401; 497067217; 1052560587; 515516242; 459181631; 639266956; 1059762769; 811523026; 727357754; 245041538; 155969607; 82401323; 559611444; 164236182; 483057662; 430453117; 636265536; 245159332; 935322470; 131898374; 1015643970; 834081883; 1052636932; 414494235; 311179227; 1040714057; 20651391; 258306764; 319647294; 854919632; 576962430; 130238415; 194281502; 646785291; 758654395; 651830192; 314352941; 729920836; 591879635; 297889100; 110328381; 172801672; 545975985; 771830445; 548741545; 675679324; 786476765; 855647264; 786325450; 156668627; 543658708; 737935580; 986969103; 766387455; 958798200; 18306129; 606821522; 307321103; 114475543; 125154221; 685096081; 720691308; 988585710; 414028368; 543649085; 734912341; 1039351719; 605472245; 312145841; 489710738; 668186776; 817823198; 149825133; 102958944; 243756273; 212547088; 743540955; 45441719; 675425320; 162344489; 933002459; 595141682; 821094023; 162100370; 745746129; 838433516; 259833394; 343765144; 344738398; 187902511; 782651615; 868705247; 254241378; 140129314; 315033787; 435308888; 387726054; 840254274; 995017115; 112210824; 24398554; 967168524; 551450911; 4706459; 201927654; 913424387; 314219580; 919234918; 807692034; 705626927; 953357124; 1069076063; 362506738; 148697761; 386459765; 9119527; 986345392; 524848283; 379014581; 112518840; 758662855; 444064147; 1002750131; 424274467; 281391780; 822639425; 479302171; 618850743; 419542742; 450211837; 949617442; 593359746; 573201534; 549619232; 490459037; 469471880; 424694346; 166954791; 278770737; 872719552; 909450803; 776116041; 38799591; 954976647; 320255057; 20030501; 708577253; 250592233; 582420908; 772941664; 1052153425; 269631152; 543926668; 74510653; 31168743; 866325377; 205132553; 593025303; 562590382; 394065667; 682582203; 312837333; 192101917; 755719603; 923940943; 133146431; 68206960; 826784804; 654035237; 695888839; 377658072; 57498090; 1014725442; 447608224; 798029798; 517261581; 578372994; 389181541; 154625237; 439718876; 743401687; 652311603; 404710380; 915661712; 263214644; 232104184; 210534077; 723958819; 173925885; 777113153; 510009605; 500195630; 769649667; 695691895; 345803151; 1051587677; 887861844; 637379288; 594799861; 68850821; 204250029; 209840436; 517292420; 173648550; 222305264; 350053641; 255139403; 836941777; 900342881; 330142844; 449439688; 554809829; 555001360; 339580756; 533341106; 79137664; 1034802276; 100332602; 937768699; 593808344; 429266348; 21345355; 727995782; 894205449; 93610430; 415541518; 843074163; 479382515; 713209336; 360492015; 334264733; 381348898; 699174430; 220036983; 322174326; 765549868; 844906695; 234667395; 254049236; 738376969; 303934663; 813186369; 150038639; 359904412; 676456906; 1041780330; 611394985; 713594089; 632939045; 62616759; 712084966; 347008405; 1211111; 639187488; 1035995460; 1059279723; 495977516; 1008824547; 971130826; 372835978; 763543027; 364203397; 150549288; 546842346; 432526949; 688152695; 1042671298; 1017589305; 449572959; 341629774; 1025560303; 839092380; 213773336; 332129136; 618929618; 1048339770; 715182771; 206980235; 266048683; 655895845; 225676138; 1073633996; 424335813; 852896174; 961367134; 795710004; 99977342; 48894644; 812163073; 930281653; 824598515; 207997663; 645818075; 319938680; 335148876; 736088137; 546346454; 1059843565; 22411491; 786370994; 374337269; 906493206; 456736974; 741755642; 1066496873; 480479445; 633346879; 455641075; 122474422; 937730987; 285721348; 556688204; 618609371; 484915918; 537334818; 626383676; 215705582; 535217883; 704149184; 1070245119; 839330127; 257050530; 564820507; 851214179; 656770117; 207946987; 983148774; 300258288; 309078105; 535888145; 92078762; 623588438; 838669757; 5957401; 43837806; 695324535; 935610037; 275260054; 1057635267; 1027381270; 932048489; 461392111; 525089548; 186940763; 349472253; 857402492; 846223339; 574729159; 493723767; 842300112; 807682552; 493589501; 772022383; 983793074; 39607670; 481067534; 762183508; 1032470419; 85071808; 986584263; 131273363; 656831493; 640824019; 147803014; 78870104; 982966337; 961317254; 225825937; 605378646; 341737309; 9172112; 102297414; 292812029; 3990900; 636953562; 116038775; 939343768; 119430375; 994448213; 68202021; 967290634; 516536904; 36352588; 631923983; 716856178; 873242354; 758779988; 696117968; 884032960; 492304726; 173639690; 215410499; 419084005; 504860367; 1049108775; 328427700; 497285892; 461766622; 2380673; 48410301; 994367158; 239070275; 192683895; 744571553; 409591222; 789294683; 628984852; 886253747; 778195130; 234102408; 365696043; 295936470; 545856250; 477638201; 198587077; 856569496; 794172407; 281652392; 602590084; 696568770; 257105019; 328237222; 902125550; 825419041; 281308310; 721059488; 156431768; 334957665; 1071077298; 484123093; 78349593; 178873519; 402382060; 690119714; 984281576; 917961731; 171839417; 618365596; 693675259; 691772456; 973543666; 497971613; 347797265; 546485165; 166860909; 860182797; 332711252; 351535262; 730058420; 636030165; 779430698; 796214654; 408273321; 698003401; 602855417; 154815345; 452249061; 143506758; 1036713523; 31783205; 348993772; 953621995; 129353950; 770846529; 154497472; 1056318329; 859117013; 842425419; 101407429; 990069083; 159499539; 610808095; 421994634; 340687312; 779908073; 823030307; 87856034; 721911835; 537832567; 547983392; 152915706; 59561226; 724909535; 765610779; 117723030; 523885668; 476619828; 636422581; 31331003; 606597200; 476580022; 105983353; 267188285; 46436855; 29765844; 357745524; 450239654; 926084; 878684092; 933493815; 534870977; 578143359; 648451533; 780323009; 535223741; 236943424; 960057501; 853792082; 733606956; 665857251; 180915191; 750009778; 297566041; 955697761; 354391226; 390080360; 148048171; 89297358; 486586582; 271214725; 526195657; 351194735; 105544154; 678193276; 392470220; 446991059; 230828074; 1054190643; 969585007; 147534444; 592030722; 620730465; 690609684; 650999817; 902447305; 435454052; 982798472; 77835054; 876679666; 887237100; 496103879; 187233465; 193670307; 89833878; 856707178; 775153192; 275030940; 759136465; 53873274; 819416699; 362560874; 88561850; 475259586; 318572505; 619994169; 853678506; 592784463; 864419298; 285656366; 317846293; 288827989; 336512806; 922052982; 508685738; 131964688; 892544640; 92381653; 906638937; 655333480; 854988743; 387864611; 828994614; 99098048; 714323646; 965983290; 785534958; 952796743; 954499406; 106025852; 485038714; 70860331; 811810420; 580298174; 444897769; 914754200; 565970378; 668371489; 802938572; 503609763; 447842668; 484912735; 34968065; 740005716; 525511268; 14588542; 314575032; 212835627; 860785595; 767126674; 558686681; 163833238; 350915432; 323902022; 471070040; 864407464; 606128538; 538811802; 287792961; 659370131; 547811641; 97291854; 664389377; 853561439; 120218083; 487387105; 86795328; 441656239; 942412914; 814484627; 732598655; 609038719; 560581897; 883879613; 167932004; 1025549098; 372582576; 727561227; 130546654; 626462901; 271923130; 300122302; 393581747; 748308271; 745535222; 982231268; 731511197; 615752222; 517312159; 34713588; 497899819; 276130977; 216265524; 342781915; 387120205; 1054107717; 575033891; 844233461; 487753062; 1029782213; 839258792; 867497104; 197996407; 494110853; 1037164347; 720676393; 76298183; 808235804; 667619173; 705918848; 304390863; 902818537; 227658898; 457607708; 930313348; 262658178; 134630455; 4533188; 13749035; 1062203078; 428851919; 271352300; 233295466; 640870909; 320424594; 476129222; 259347350; 822321814; 262029262; 24514067; 809789659; 613892574; 535006284; 398920130; 1051600180; 474167176; 1001006384; 601971509; 581347366; 631291741; 538576773; 370735495; 150691392; 610360309; 235714923; 568248059; 161181034; 910327693; 236656671; 187324037; 276307057; 276658165; 468578442; 792768293; 921851706; 1034959076; 381199033; 676535345; 187151280; 907892372; 146783828; 1019386993; 127250026; 754753679; 563755868; 47169254; 542068189; 747965868; 785512679; 689249482; 526363453; 189687814; 840770539; 808299681; 39755604; 175680336; 633672210; 665208706; 202292858; 280290336; 701321461; 458477284; 228900476; 642036718; 134142266; 1030873662; 820612253; 643284994; 679221682; 946425575; 176519546; 601994143; 43833537; 604422720; 269422049; 969517495; 472609485; 1005062555; 691021460; 907945078; 306096981; 102456222; 881798133; 1066910829; 48485054; 435764447; 920718946; 452444814; 1022012633; 504337237; 347833633; 1001147336; 88095597; 527747161; 253122613; 428388113; 767296824; 558220241; 29492450; 196547812; 971413270; 535720062; 918238678; 416520622; 592352221; 851536238; 517908103; 727866287; 189061809; 670673004; 314934446; 108716905; 38364513; 267832685; 634391824; 587881186; 589157625; 756782158; 741077630; 855308375; 453191378; 339152646; 850846932; 1052465112; 131581063; 592792284; 150812396; 641129980; 203707216; 230388528; 380641845; 900653314; 657372326; 158023672; 819257781; 1009868198; 859529112; 532154383; 936390717; 750844988; 766519878; 329319014; 726646738; 723534160; 299555187; 398026370; 481596810; 834255839; 887090569; 728181478; 927403981; 117019957; 699390691; 687034358; 63119173; 683648198; 629839427; 1009630884; 722364662; 3659787; 882485064; 16578810; 123288058; 348220997; 212011006; 804443106; 110052130; 316444850; 375787892; 865428234; 763079287; 1010100373; 169141782; 537033696; 108222701; 768856652; 333242000; 963172581; 232085512; 52476051; 594436900; 887424912; 443851727; 873489287; 610932989; 119228276; 706045932; 963516781; 834415713; 169429310; 609773570; 433573430; 820718710; 941643912; 588456306; 554266717; 318314037; 952383733; 292690796; 691911727; 745492713; 174686201; 750934581; 890448994; 977210560; 271136364; 950694059; 712049425; 869546205; 532933721; 686009908; 933210398; 704111212; 420436090; 185606142; 898371338; 379580340; 461817642; 836375923; 296386976; 402949492; 349423317; 954326093; 953046571; 287863670; 710029509; 520456700; 731194901; 218217359; 829067252; 561806794; 109852643; 222005939; 293223483; 127511680; 441361879; 325413489; 86632142; 514280631; 252189661; 366337847; 196893738; 746002484; 94147933; 561039924; 1073169129; 730283864; 413476138; 107168858; 333887442; 509905194; 195240024; 235493496; 382586338; 254921212; 443726257; 107178150; 211669473; 294385875; 901409124; 452927373; 260111050; 257294129; 263202172; 269863185; 112183821; 230372128; 892378413; 301898716; 151220092; 663909527; 462385203; 576102839; 271049948; 747637161; 44534459; 754383868; 122225725; 676165333; 542291773; 883026243; 1029291242; 941157089; 347237447; 835505755; 985602236; 419906119; 624776657; 684240086; 663390441; 477068868; 412618632; 782057015; 913375587; 857550669; 111219516; 675701091; 1005396699; 631090057; 974604118; 508412076; 472654472; 823951096; 896664473; 879607524; 220785299; 94170497; 929271309; 942667890; 429518232; 631591908; 67220895; 1035892335; 912551231; 387589829; 772806890; 960246888; 22451053; 116373554; 685351470; 418052502; 465234901; 152782188; 789733456; 139205010; 334450806; 424769838; 639215241; 78506705; 923922148; 1018558533; 194079340; 750713128; 1004206475; 27825344; 329139092; 775616485; 107331340; 405029032; 261861404; 266863324; 368538045; 997661724; 1046627637; 399364509; 326599587; 593241941; 782371954; 356576763; 681248686; 600695241; 252519161; 119790239; 327429191; 274253059; 1046124751; 1001313735; 510337401; 728338214; 569743625; 356285800; 41359365; 633026657; 132365748; 156808555; 498659198; 487838762; 650764838; 899595435; 847182092; 930477467; 200265019; 218416755; 958171922; 148696052; 323062674; 941259097; 991867818; 232157810; 577970719; 832215471; 73406155; 264037352; 676165585; 928020917; 771717950; 950644370; 356274800; 1037645125; 906088766; 589573742; 124266723; 655851488; 786971197; 349166741; 408566599; 638112607; 640062662; 846424392; 413789187; 627079445; 164058264; 552776526; 372019330; 568981593; 86978804; 200371196; 353891598; 1010624097; 110611858; 899339191; 417848667; 46271716; 511187461; 1024431534; 67689907; 184844058; 409504480; 496022949; 57848997; 697112; 189137245; 1028083482; 670445328; 608873287; 582338317; 73164285; 473963379; 886381485; 364347393; 460002456; 436495413; 428921089; 302767708; 454576674; 842635752; 888676990; 766042963; 313018836; 481037766; 577498696; 956000106; 220768600; 748209885; 678593300; 13779342; 268220804; 283284011; 890798133; 576394357; 791004438; 827068456; 558023983; 187158804; 16643699; 246138176; 987138832; 1032724102; 466093916; 641173597; 697009434; 605364556; 96013012; 555708008; 128856397; 7507315; 416412135; 624080535; 301848295; 248511429; 329682936; 599475138; 314960481; 42283499; 698941208; 666854735; 348422968; 743748853; 565400934; 258644037; 486737132; 83195374; 123996301; 54940705; 77121394; 667074695; 970560184; 400785011; 798158563; 924297883; 396999280; 1047382430; 147396822; 1055335754; 910047068; 836760669; 637994651; 104852299; 557463148; 1059665466; 79259712; 847410574; 699093605; 616994104; 980055950; 949471373; 927588575; 1310603; 584976810; 120595293; 810608860; 232793926; 869667263; 1012339128; 760960029; 450438785; 992832789; 431891288; 474216976; 397194599; 539385764; 746257280; 524653167; 736786669; 364824362; 890492059; 475021111; 562728971; 660099260; 415577136; 921560171; 719043186; 807679106; 188472433; 330789436; 456660803; 507990946; 952311617; 29904450; 1046451356; 192229428; 987919364; 196098457; 723087767; 1055542969; 612009483; 786864711; 735098313; 778692977; 795051530; 589620314; 203913153; 177007199; 38429504; 836335352; 858108359; 424475697; 349872313; 435743748; 1045948590; 883617934; 400261448; 968536967; 94237535; 157749814; 533001677; 517912314; 731304094; 278036552; 1045545738; 1020058508; 417492931; 435514218; 497657358; 382636039; 206396381; 467339844; 1019923744; 346156889; 962469520; 493305904; 452311293; 322601043; 513959277; 868103271; 371013918; 812924894; 850296613; 160067580; 839874448; 46132373; 693580769; 617969967; 1014121949; 425889993; 64246556; 759061631; 716730839; 1011157791; 550103574; 389591799; 384958376; 105135642; 648325104; 604131665; 652323588; 673168339; 995918102; 931280723; 225247484; 669372977; 534083200; 684195740; 230840286; 889048259; 721317913; 504797789; 811867588; 584832789; 482175645; 834989003; 686356512; 524533918; 766928823; 510072709; 445484723; 412574862; 56620777; 402952453; 549729239; 737720936; 230870660; 8442214; 511132494; 116519629; 507961124; 695718403; 1042938113; 577076972; 227504651; 332602245; 228401803; 155774468; 1041963577; 865791593; 897954851; 384208748; 1066092483; 976643114; 191879971; 804771174; 839322819; 201879774; 22367728; 486738725; 722058948; 828566541; 1048072015; 596988713; 757252652; 165297334; 871653814; 31117144; 227243079; 52239879; 9782968; 681789278; 650460942; 136883264; 217577782; 458866476; 643852005; 827757677; 616613586; 19922612; 341032587; 421735988; 508077858; 5868405; 463429647; 808997189; 711356439; 137848615; 898909636; 334662406; 984342089; 280268155; 60203551; 71310793; 975890738; 991895732; 671817541; 401233536; 817964111; 410392939; 731801074; 816029997; 640727145; 668745627; 162435590; 919091747; 671819966; 572133025; 677841754; 439120118; 895117872; 888465624; 483693794; 566685369; 817109495; 301097105; 761102574; 939056364; 714502499; 833493820; 175948277; 491378318; 1010976261; 1053698128; 823000632; 699448359; 971454457; 387492029; 681278965; 194198136; 14351175; 488323182; 450430359; 546908124; 52374253; 126844188; 996255713; 71652739; 804342214; 113076923; 9012997; 451010749; 322573382; 629218929; 955533817; 91488752; 83619018; 517351268; 318281755; 640879677; 584569460; 622363909; 494743920; 342861339; 127674456; 450327910; 569702136; 244573358; 23989574; 692298492; 907543546; 139428544; 675825907; 196664181; 1048511651; 17548253; 680773791; 990226730; 577073817; 533187868; 497031671; 698705217; 884804565; 905738296; 579013194; 590493404; 19411666; 212703353; 167271772; 451312394; 450987276; 374443025; 101783115; 224461048; 492836688; 741792563; 7020050; 382133662; 453302309; 400043487; 641840755; 142918549; 375328895; 237926864; 727284306; 529434501; 451467162; 480205962; 821566984; 87030632; 518607552; 404220678; 785438510; 17480842; 669961591; 228892081; 543820014; 239453281; 502609783; 689799078; 815478021; 511352515; 425738594; 661285658; 597836219; 443665607; 1010185665; 141735471; 571740979; 1008175179; 894162295; 917626819; 369143981; 420002003; 142763313; 489674582; 166831407; 234389714; 856003499; 902605827; 417715512; 651339416; 196677395; 138049557; 906841439; 554880982; 282924998; 78741918; 745749829; 245158806; 795040139; 232182140; 615355814; 512790109; 358086730; 198939684; 3370834; 697070601; 801062489; 450465801; 345791588; 586228036; 149897101; 858925081; 1073609172; 138716369; 530066991; 594512769; 745533346; 245943465; 450969137; 438141551; 989219047; 555003541; 846025581; 1001244808; 422854646; 553503655; 573461417; 328340480; 589515575; 404551144; 429376966; 581049843; 891967898; 851478505; 317709908; 581823261; 765748152; 243050502; 583581360; 500576559; 672861341; 937250802; 259153609; 170518828; 946783812; 207186059; 65738198; 984267028; 199984239; 664090531; 486406844; 206742681; 477635456; 756034835; 276597314; 670635808; 899231120; 148876330; 834970128; 878235685; 319297477; 128492771; 95596786; 692097625; 68736563; 709314459; 292718525; 859730138; 488465731; 545830116; 983169376; 1041340909; 946893589; 645235232; 201196257; 153904396; 598699179; 725571141; 738984721; 1037085996; 539241858; 935068533; 620858439; 69740439; 748658615; 973931406; 1024657609; 391473913; 1059384934; 939531698; 938933833; 533940803; 317211487; 1039703705; 54870182; 223526550; 93972372; 516796515; 575151257; 479827025; 973442711; 434811886; 334549424; 522434260; 980133443; 144747695; 549203703; 471713183; 550951761; 968880453; 61203252; 251863805; 322573637; 585013802; 639882545; 477925446; 100270943; 36581224; 744768195; 149645947; 90894709; 196229492; 799777765; 649149387; 961655389; 169841641; 720730645; 162884880; 88902690; 306728669; 421236752; 101347752; 370698970; 11971685; 181113945; 486280727; 532634874; 768949183; 808939341; 147811325; 713612386; 982295475; 19279297; 704149592; 405613344; 291046914; 70471161; 145798818; 313208334; 297484124; 948485488; 452784913; 987800012; 770453602; 371166348; 851010605; 220293691; 1019788243; 2237798; 761519412; 919034324; 609090816; 429479147; 621896388; 742075356; 339848482; 467511222; 839574674; 983015947; 56989546; 976388351; 684936982; 718747002; 870323501; 908870130; 887035928; 73941067; 545083626; 349562376; 1039856772; 533050711; 998498809; 609080207; 197294381; 577259070; 700607494; 679076343; 25922772; 1067326538; 754718360; 865551299; 415652749; 362980744; 780622961; 41360998; 67065845; 216449682; 204162917; 129786114; 586196503; 14393560; 468672867; 92035614; 52086867; 217549302; 638644158; 171451556; 420929362; 161885414; 1036947492; 59572165; 383440351; 54034342; 792834008; 621527783; 726747668; 1024761753; 52628510; 457473573; 193335653; 1026897854; 392726748; 777054747; 281884134; 642925113; 284697019; 328007768; 503850450; 815516781; 457662583; 557772259; 829588735; 1007405420; 1029205420; 633436203; 339284929; 1029644123; 646163232; 55802786; 719547799; 826159349; 585073713; 1070699996; 523712221; 927431835; 792522813; 834930011; 397674249; 901111014; 168260159; 832418577; 215243471; 848032819; 548763306; 343562292; 584369511; 720036163; 56527980; 193533532; 163903958; 228104796; 852645780; 88757388; 807548611; 509381838; 684885487; 78631619; 36174911; 636403529; 729379135; 121952405; 68210742; 948586089; 489474213; 574686484; 793589881; 792550892; 117452371; 920873158; 465613644; 787446056; 407594272; 957169665; 947615662; 773639181; 558090173; 1050044598; 171703492; 33114768; 697247444; 615086577; 486147020; 501604460; 1008154367; 397433398; 522013580; 783572343; 508349459; 1047688730; 158526264; 250280033; 454148024; 912838099; 284116009; 391092276; 183899899; 847323409; 331859809; 761480523; 871886509; 1063736450; 749192198; 364778521; 926821653; 767182076; 624940156; 649374143; 735392989; 466548476; 176092092; 900257665; 766648695; 629924547; 996152968; 675611205; 273689004; 590608546; 189553675; 72837598; 766318731; 315318438; 83034914; 361645114; 817441674; 1002755537; 686389159; 828653904; 774405682; 282895308; 668836636; 512094041; 475462997; 943501331; 906135958; 543032340; 441234923; 649744456; 310146877; 1045877162; 398172189; 1037392287; 486270888; 355898356; 283172973; 599221003; 310579754; 802547133; 124221347; 69021674; 458096481; 789934807; 305690987; 715563514; 684064658; 979963194; 147002006; 145032230; 523356326; 850202973; 286017740; 573305091; 830434287; 806368311; 803685560; 1036372872; 208209667; 736169350; 357877950; 1042686342; 503349579; 6421256; 20329549; 946566321; 16605961; 411178917; 2709824; 248860186; 420496931; 607731305; 316559780; 533700697; 1014137113; 930339408; 253292298; 89649623; 425830707; 563561610; 828810465; 256446910; 461670224; 550620316; 982716734; 859619810; 353454024; 454984272; 1031267143; 400076449; 423825186; 64582504; 839623253; 33459527; 458237560; 853996301; 774096452; 422636784; 644844291; 915005791; 1041070522; 741799770; 21915890; 749736291; 139238294; 272812663; 743208046; 244320160; 570246133; 661469117; 464074503; 663031163; 1057783843; 808366629; 694677930; 853629600; 227228241; 142009595; 344365325; 228027234; 852943031; 847247627; 919170805; 59968302; 60271100; 388181030; 710380057; 476059956; 360850482; 854856680; 83998822; 747857166; 770008994; 245219656; 741112681; 689872192; 15960472; 505745565; 423300751; 919124761; 98331571; 176966683; 759312847; 861861764; 373969677; 580507572; 352999018; 932762438; 664659416; 682735371; 44379994; 92875811; 1022432299; 380248398; 156506204; 78471136; 690056233; 460127594; 437731446; 384429889; 931681359; 665911391; 165881552; 142873255; 928101593; 736034107; 320836109; 713225673; 846688412; 158367087; 142525024; 302716854; 414455234; 715619480; 885943490; 741634984; 351752221; 749686275; 712853120; 61368164; 13094718; 819068186; 627112394; 161907904; 1035396971; 895267815; 166887197; 299330254; 626172340; 492026609; 765076325; 734591716; 212179903; 90392615; 949709368; 239224601; 5842643; 4680546; 364518968; 557395800; 331346589; 720695807; 594339209; 656466194; 100976136; 855835654; 598023397; 2090370; 679398999; 289469290; 57775245; 601450572; 499886384; 1011655229; 555610306; 994320895; 937746183; 760588604; 759646851; 34310890; 736023179; 91902531; 206426511; 1028206763; 913585211; 112977764; 693228652; 143132835; 696629630; 56651564; 976166741; 762522058; 75052089; 1029861019; 518004702; 694637528; 380391775; 798903052; 925050900; 549374368; 293947271; 965371076; 100872220; 886742578; 224173277; 484496486; 236862974; 432584719; 211936847; 774667821; 465870634; 284615939; 172895068; 770189731; 340988017; 252138300; 1017422897; 877918235; 748486054; 36390056; 660605806; 951024725; 431432583; 376575268; 612164650; 988215419; 56186441; 286647143; 33629388; 261047948; 851908875; 310473753; 992804212; 821986608; 65558855; 670064064; 231417832; 815790548; 90735908; 160864649; 645768072; 522217010; 734811924; 505784598; 610969327; 1054543818; 950492830; 47737688; 448757744; 95254495; 277365735; 1010093590; 106682272; 1050726066; 247920794; 586319309; 978924982; 868283000; 256686600; 583585195; 546804391; 878055071; 254464591; 487892155; 90758469; 272751831; 952956440; 536735942; 144057583; 567021769; 773838268; 951104686; 623703353; 517104402; 732385585; 653957134; 963916276; 729795645; 787778057; 80681578; 336064986; 74153600; 1031924096; 520236730; 996138752; 351894079; 92744121; 304872027; 52427653; 570565943; 541383159; 946013852; 869251193; 912481909; 871514879; 883603022; 1027943726; 190194146; 574604245; 376247921; 765602261; 545982633; 85132982; 58558045; 724131834; 225982470; 1035656253; 943647183; 513116635; 184156333; 189201460; 123732392; 137776398; 876130454; 879129222; 1017515368; 23335074; 548202601; 756165101; 999709568; 939304533; 231846079; 151793000; 947672204; 917232010; 405397459; 301443444; 732607070; 457501337; 17844750; 737535139; 150740246; 578112003; 442761221; 1014703352; 161363021; 245611478; 572709784; 183756873; 920316887; 350883204; 236872449; 303064101; 127352638; 627692730; 1063389698; 976632160; 924638122; 395818986; 777023812; 176007005; 712224366; 558609227; 1002803408; 752015617; 286477003; 758580925; 1049200453; 7978943; 807882579; 643498123; 614606209; 577341780; 457990029; 180889857; 329365145; 836410005; 989549321; 320793436; 460086197; 976748625; 772949995; 559118346; 4351615; 866712393; 909357262; 110037753; 269639828; 667337314; 207897031; 590756194; 11838319; 201811393; 1003771027; 184847127; 84149564; 849286640; 325348924; 1001884046; 927455060; 666352083; 92098383; 510526150; 397675450; 225474020; 256102615; 80358934; 907048543; 535814334; 649820484; 765464306; 670951787; 517308521; 362184625; 627533329; 128771444; 814132952; 915185806; 158737480; 845679856; 17793207; 712953893; 713802493; 650784146; 333521906; 269588353; 344966947; 333689104; 610330867; 920415997; 669689905; 1041672026; 941666944; 218541670; 1033341892; 895801161; 981895672; 314765006; 290977318; 858384224; 153632397; 1057791125; 160654313; 646370008; 579761753; 26159015; 839846689; 435604; 98775877; 829565869; 197128639; 773858192; 715906; 987943638; 1003550358; 383980340; 300533680; 224215865; 682058476; 859230580; 109786440; 278112329; 1051314771; 796594806; 877581415; 518106055; 242734967; 588114468; 987014706; 700802084; 1024992294; 118971375; 819190029; 152434745; 263585216; 131190963; 34570603; 631073117; 243210079; 668033678; 762877951; 747387647; 810933195; 478491096; 520253728; 12645071; 329421039; 455437373; 936889084; 621330119; 934017149; 661412562; 909087453; 305315051; 1020276180; 924407350; 651932932; 61862914; 834559911; 69575925; 704309826; 633822213; 898322893; 679262308; 197503319; 644347068; 380967679; 801202330; 844169977; 876988805; 195231628; 190883; 379572644; 601421699; 1060286822; 1040078758; 904315672; 602328201; 842334293; 208939255; 1035115195; 29991975; 435604510; 428109853; 876949338; 951905778; 264280375; 146474668; 636355622; 903194111; 647525951; 634905285; 711300516; 666001889; 81097930; 671509208; 797172324; 764228367; 377702479; 977748015; 424150659; 39092993; 951497999; 662214363; 45206102; 34484626; 802776462; 634959719; 609588202; 614452814; 443049148; 4324933; 449122560; 286267181; 50494014; 967791010; 340656968; 299304533; 723479249; 286848193; 1034586981; 133228452; 465823598; 24946217; 633573050; 705377825; 365703227; 132079788; 943822888; 673842944; 966176661; 928545133; 937194088; 323773822; 438198131; 683476917; 871122105; 147880267; 446411903; 464953699; 124285345; 872740856; 1030864122; 732700854; 43624488; 277410390; 604030696; 709447938; 443188403; 466373329; 525730847; 592320298; 279688713; 615343748; 30067909; 296696619; 897764971; 1030926394; 642203352; 408321756; 542620822; 714034980; 4967062; 122201338; 1024679469; 999136217; 700932788; 1071087328; 1052425385; 205866814; 579703497; 306673610; 370157941; 695087802; 692074337; 842226407; 198745151; 1042634890; 960032073; 439441554; 717876560; 1009256139; 51445319; 532343935; 55018359; 1058299348; 1005126117; 177546447; 868100938; 741886807; 28949003; 654804422; 266627509; 115285613; 168955901; 539450803; 352321142; 522627767; 382763232; 755802142; 790016283; 272346324; 341379928; 231848962; 777243327; 1057488081; 4967237; 599486857; 186338804; 429389136; 945899981; 213827691; 13360577; 950156143; 120213536; 917630301; 984368561; 1051456179; 361015778; 438713812; 732890734; 572443325; 522851587; 184065196; 909029443; 923276526; 512702832; 401344164; 29406985; 941694027; 998456409; 267768273; 910710060; 555549477; 694865686; 819336114; 769096380; 639533158; 803612937; 237605339; 799846166; 473673969; 303956493; 1029911213; 675824932; 357177406; 341888906; 990156519; 794993768; 597765919; 665506063; 505848380; 633555980; 575131841; 135403702; 764370495; 1033317747; 857754676; 999232137; 1017809811; 700158739; 184465168; 188247110; 461045789; 1052696668; 527763909; 277164546; 479777764; 273517738; 133269878; 135997880; 214133984; 356478432; 735307839; 802242980; 1049705189; 211533206; 456385424; 1062298114; 860158453; 646615248; 974258126; 496005129; 990700102; 134699729; 1036721742; 618249898; 712284191; 921287883; 941833899; 698027378; 779035983; 698084302; 995574089; 52734251; 584286419; 866426551; 801945868; 1002680418; 394803221; 9519068; 1059174785; 913012800; 1008432173; 935041708; 90179369; 767561801; 386620032; 964032315; 247210121; 7222696; 684314001; 219451885; 55663015; 877411886; 690058811; 886270508; 63698893; 180771618; 819308612; 908397843; 946424781; 622856145; 218210756; 995955792; 489317268; 879229086; 359086563; 214216485; 448201918; 967131386; 417091207; 911585161; 136587801; 258455906; 844332589; 278947569; 693719748; 268247715; 896110145; 843161251; 532710613; 723558525; 163067467; 123752187; 497434910; 525234275; 278732566; 532148217; 464524138; 863941642; 724599690; 534169004; 393418026; 858671725; 372550904; 978062153; 728180724; 21874685; 254994459; 119149577; 114219844; 797018165; 719390611; 965392163; 1024328553; 99247748; 516228562; 25846654; 908110933; 786611195; 889798508; 595781609; 979108329; 622810719; 215476379; 508520446; 535106071; 44977355; 948399691; 1020100418; 786117918; 574187112; 398913995; 617497669; 333099210; 1043013812; 78611737; 692692591; 49427501; 890355920; 543627797; 417275737; 499045599; 386704768; 364314367; 16617029; 1006663603; 430913264; 647129769; 414410056; 515652429; 439367445; 124584408; 1021811143; 59353847; 39323855; 290394430; 143064709; 321581814; 829959516; 227440284; 700408424; 73581833; 602233454; 534153548; 916731857; 1056368292; 1046140565; 822389185; 393918001; 618575930; 1040885144; 79822123; 20877723; 258678731; 867894070; 889175442; 56695138; 739575190; 671935281; 756457986; 593147999; 232882232; 1070053431; 1000271834; 287050147; 143894270; 22055283; 818465582; 757790863; 238765569; 1015876699; 197280376; 17713347; 203717598; 210627229; 62129341; 518154818; 814409126; 953024340; 592218479; 20441544; 409408337; 681749469; 89010492; 607631326; 378681788; 536131843; 1057109667; 29704439; 353114446; 414861985; 549989336; 607373134; 1037516882; 495648934; 782977745; 701089210; 974746981; 776525152; 947083899; 963044575; 32437392; 1014367097; 426593145; 851393948; 731403914; 183711411; 320435004; 26789535; 40503691; 612160599; 1027463417; 120824392; 1058050948; 190936133; 404507194; 712702332; 353720096; 606028944; 336222701; 913919616; 782843825; 938500310; 216502512; 775572784; 656134848; 681672531; 918129870; 211229670; 471780403; 798896683; 424829695; 173725340; 22540840; 451377825; 988508067; 864909103; 116729184; 438361420; 188285188; 506507295; 1003770047; 857355752; 951064433; 201405387; 507444924; 479199728; 993427700; 711798020; 987181824; 809430926; 1054127096; 245162706; 646318175; 817791796; 222771790; 1069946194; 508837396; 423610751; 977786284; 310157947; 811790221; 900409579; 473109552; 763940764; 124390753; 504682927; 479244677; 167343680; 879826565; 163682900; 460434853; 767862182; 691601936; 98843154; 414913768; 378545693; 532439125; 856039377; 789011875; 496285435; 900618026; 508668160; 280893482; 353668360; 283097293; 138858126; 715216050; 279583310; 436272575; 177625554; 740497029; 666328632; 80182186; 650396355; 152468077; 35285393; 858334045; 691119128; 304884735; 84567559; 286414866; 942695943; 6708313; 365094007; 176200460; 791375102; 45333538; 274691281; 744402685; 1048058153; 334607533; 302564199; 494690531; 669395935; 490104330; 136546491; 456564382; 800263387; 875654214; 233772314; 329463308; 804750837; 792086402; 682518505; 89803491; 1011310541; 67566694; 251260602; 720243429; 326608448; 311983278; 567497329; 610988066; 611133898; 1044924633; 727008369; 670449079; 296519047; 1068373591; 391571380; 534679494; 557885203; 617593146; 48831818; 1068905414; 653840626; 1020580241; 608038729; 867727218; 995431882; 531977082; 537939810; 812003169; 200948834; 422007699; 956014479; 596210604; 770528650; 607292372; 454657278; 202248508; 590444828; 818296580; 778656002; 705298446; 166019721; 657856522; 26553926; 297255749; 853887947; 491800876; 401485962; 137309134; 287978353; 53774909; 911913646; 564786026; 576646106; 1073481305; 576344195; 212873933; 828652435; 552602425; 795838399; 642285824; 879710344; 1055613929; 520322502; 527347526; 47323784; 138442206; 511154241; 686930396; 52754198; 438208314; 454401726; 307188756; 44482204; 282935490; 802734106; 137378870; 526868996; 937137938; 876685039; 214443926; 103212036; 301014222; 351792394; 891101965; 959569373; 893405721; 154734719; 562851817; 704655897; 861173333; 132693100; 695908442; 979004140; 82048676; 924500153; 908208635; 1066807712; 470993194; 178119333; 211939647; 314858512; 636120246; 971221578; 18331549; 1027963793; 1066103317; 604910348; 734584589; 15882341; 1007391046; 514418138; 805056820; 825894521; 869519633; 659672948; 579346415; 296682850; 714314047; 817699138; 439452281; 53621993; 428472051; 404501082; 365532597; 282307389; 198705513; 466982133; 850297292; 107803233; 665759063; 181279689; 574156015; 809368575; 379611402; 627441993; 862769522; 768597298; 1024864211; 521946838; 341117797; 138288625; 78318746; 647786580; 300735059; 618488730; 629000768; 137839539; 167418133; 4879188; 181967630; 126382146; 307980550; 779105046; 94118624; 533217187; 377524001; 860194060; 782081933; 609655332; 705244434; 905604988; 760997084; 151184339; 675294363; 468467097; 910199344; 623372913; 927550934; 1051744190; 111733218; 604904833; 656734353; 97099445; 992762429; 349054932; 1000140923; 804995462; 586475082; 1038300527; 410559253; 162815510; 500315834; 763455327; 698168812; 1009688539; 804332899; 689348731; 718925743; 743577029; 1041535433; 116507402; 167476455; 971120892; 512216858; 755213528; 770360220; 533220680; 752116755; 768589652; 371105044; 909991527; 509398236; 718399042; 831983686; 259627666; 784267330; 765378435; 968757201; 706198600; 6193808; 975308187; 633059481; 173109629; 6595834; 469643723; 431033803; 248552899; 150865808; 182180203; 809399410; 280666412; 710437196; 158275199; 404974733; 874773336; 622864443; 1037011080; 955145410; 257156072; 523055449; 631254243; 612751926; 778101643; 488482050; 727063073; 984678654; 730856744; 407466698; 348875933; 38360514; 633359089; 874442350; 188523266; 346617858; 858924072; 312163887; 576154313; 258815815; 519031934; 571337391; 706619503; 154243971; 661503010; 1022382960; 1012690663; 929590031; 1048114791; 400249819; 905371550; 10099355; 906805739; 388363858; 100361003; 849088672; 158958192; 795266722; 574685625; 364542904; 739285162; 118639790; 209870881; 703602999; 456841241; 926620997; 656802074; 620785839; 38286277; 1037197537; 1004790959; 13302499; 646721868; 633121707; 904916574; 323643011; 812965285; 307715672; 65375083; 370068998; 611075206; 766639595; 68865931; 739173575; 129811174; 1045698517; 838222508; 397031913; 28801467; 252842833; 86863790; 576341380; 528074227; 549708934; 409067004; 509798464; 813282889; 384658977; 28110493; 772997946; 982638075; 814341127; 311326038; 597711226; 940052968; 337057699; 342535395; 497741006; 600312112; 309384784; 714714011; 899716591; 550057524; 364701175; 428836260; 1046146691; 1053586880; 921561494; 1031911284; 928404956; 136791116; 292247611; 454445773; 597234215; 666954961; 397999793; 618250673; 388789225; 233235292; 14190202; 831280836; 401182323; 975484581; 692221831; 425675506; 448003482; 774702136; 587560790; 10417919; 529546745; 121243810; 140278623; 226533003; 102336961; 573494002; 1013496921; 479626432; 998388565; 330827611; 720671264; 972410392; 386669026; 814419287; 610018272; 766421430; 378596760; 618426635; 302695105; 1000477852; 88211931; 1026478792; 793626136; 46624065; 321238539; 877105637; 4276562; 512812833; 934709025; 563648395; 930878510; 16964573; 723841299; 495480745; 886360064; 818635798; 406754800; 861975532; 653026138; 665783706; 541917232; 500595002; 861451976; 390572106; 385744324; 953686323; 610324296; 325502150; 78595301; 58697649; 924870049; 220398552; 871309134; 770569739; 660775809; 913917435; 807784989; 233107647; 420650975; 122137523; 800689841; 241024356; 584660377; 871031399; 1034901212; 218014948; 402380463; 190789765; 732463617; 1042867584; 640278914; 955206107; 989533605; 1008684261; 1024829416; 611732781; 735829699; 883842676; 74659157; 204863141; 728439411; 231542888; 1055232444; 532611356; 1066202044; 645923972; 473628614; 509472861; 790932581; 525561408; 144698624; 645967661; 244834095; 66474047; 423844969; 1001879090; 190480115; 647124791; 812970865; 963427468; 937082383; 553177252; 188879634; 785313540; 1021949682; 983057215; 432684766; 1069745547; 817609230; 148270550; 582661543; 936553360; 840976433; 978196961; 989787724; 913117466; 336356473; 945869374; 513149159; 854605705; 95203546; 220368947; 1054462520; 494772994; 1054840055; 66258168; 578719206; 162680113; 473003673; 202934812; 106593303; 633098234; 284304086; 802344045; 346992051; 992641697; 261964456; 90041140; 990484676; 1073406821; 871392360; 84143586; 509329099; 804391704; 313119722; 392168167; 309905264; 323702732; 79923640; 124657738; 31039744; 347763782; 514342445; 69356255; 169123351; 122115602; 44429991; 510983168; 110781131; 377506877; 639166558; 105115847; 774981173; 451573255; 910706291; 24326173; 886870132; 124383488; 617842486; 263137630; 69110947; 660315828; 296661505; 847308636; 611509977; 579704667; 73258487; 815734548; 729206199; 975309700; 828874945; 985212751; 597092852; 232559426; 397603158; 678214193; 587979575; 874609036; 808752436; 568764139; 983684545; 617742615; 773556178; 61784275; 841475394; 1066195452; 989908033; 242623734; 711029981; 248066720; 570833048; 1059073092; 898948471; 364568692; 612620115; 1037071716; 1037304689; 618945065; 306142048; 31640716; 528688113; 610474777; 197326193; 40149563; 107788362; 751001718; 417241763; 576500773; 702005691; 467506504; 362210195; 576772080; 561473153; 229230219; 640809912; 533186753; 781994095; 430226127; 258298845; 808678563; 356012602; 409428627; 295513184; 994483730; 138447008; 640771883; 730901032; 537773744; 966558143; 628645053; 64476778; 646868407; 361691911; 761464885; 670290302; 760799675; 1000915823; 806047547; 705906366; 414774929; 951685094; 612483287; 852609143; 765956390; 153408174; 760615572; 420694486; 1051606560; 1019774503; 449175440; 1070233667; 254818161; 358489759; 135721706; 219264831; 21951983; 531009187; 445765987; 871938496; 168074687; 94695313; 628012493; 895896018; 238055814; 104388418; 408531221; 624580384; 918206331; 431391730; 731312478; 543405243; 574055457; 434448226; 673527841; 193694973; 968171489; 875213655; 699190871; 276855205; 889999179; 450561916; 873677403; 798753277; 349506198; 1054443028; 687828173; 577907264; 893640475; 308496692; 701303548; 746188659; 867257380; 1012292324; 837580330; 149592335; 686633711; 225120499; 415068562; 762639462; 549182950; 322697251; 983683918; 70023267; 329491555; 256824535; 225097113; 302615262; 260120716; 266044111; 99279436; 395376452; 246009117; 607131644; 662697219; 482709663; 733414173; 678758472; 356341764; 102155434; 900206070; 99503185; 411762279; 629581261; 826722585; 265436016; 661708628; 775542695; 1046313448; 76785094; 466616953; 551767206; 190133605; 151547374; 650195456; 278723810; 110211162; 569529779; 797554410; 754208422; 1052219302; 996505090; 525740268; 943306631; 168793369; 49350744; 529451619; 851874783; 978131113; 267924761; 833713445; 754221856; 634851419; 280205746; 877220954; 320478819; 857443058; 27746342; 765306436; 609045448; 448126963; 75655216; 507151395; 761729181; 188683048; 37496933; 969041038; 969753278; 129466380; 304468642; 875333410; 819809707; 62975892; 946922193; 155539987; 359403211; 180834146; 308554741; 341032999; 998131027; 198327962; 430876701; 692501823; 599737967; 933996619; 994287574; 483461899; 343919729; 833002248; 248152525; 853594863; 1064615661; 596208463; 403737034; 311083514; 418204903; 625249001; 30661291; 1012525947; 828958400; 881946274; 869706896; 294241709; 716513752; 612890708; 360711176; 8179799; 158630775; 665233408; 746460399; 354650882; 236290937; 427227032; 374650414; 832537532; 240433868; 523994772; 229986970; 474246634; 847354375; 608970381; 497272699; 1039747629; 693230371; 17713932; 124700894; 124177613; 787294112; 898910421; 690225901; 230181534; 103469418; 633268348; 1007739217; 268139194; 253970235; 1027394383; 62529393; 502473223; 762010767; 1038218650; 25316926; 509850856; 496046252; 717042559; 885130988; 594402476; 224399916; 834514416; 275533165; 10855473; 387275890; 60471887; 1063814522; 70250983; 889969800; 878761348; 527856525; 1014070351; 539086255; 296382110; 919875883; 766305997; 749031633; 42193674; 14421730; 888850079; 265597138; 303967566; 280863510; 620335392; 433486341; 54201439; 903297595; 648885601; 87058144; 199426062; 1050880567; 838119909; 205383219; 228251277; 443970402; 787525419; 113443337; 567223908; 459621071; 384873382; 164386115; 534014361; 117078092; 800533441; 359856348; 290608081; 360654717; 509235922; 7457664; 297796186; 434565888; 8268268; 308747959; 505946097; 217456280; 918876785; 715266154; 663786540; 337210868; 435771364; 481853987; 530465066; 651832312; 632020859; 332318075; 460717118; 243754329; 993241023; 183092805; 534493750; 146327465; 329682499; 792940105; 608214506; 77283947; 269919412; 793918664; 374539430; 290822910; 963554865; 192753175; 444751350; 855677159; 496239916; 611833159; 198166476; 191327090; 536802842; 940904563; 945573892; 1062404043; 470927702; 485654769; 217569250; 410062783; 1054341159; 400739735; 950893778; 530946284; 456352097; 799672510; 287284201; 426522405; 279755963; 522680167; 881613647; 131698478; 706179316; 321935929; 508692496; 598824494; 1049408876; 75695010; 436226892; 277972216; 673812563; 579041918; 751089835; 425904371; 278524624; 198440250; 985698794; 382510538; 820948138; 997037084; 837721106; 119763430; 256804308; 71250613; 662709021; 936108144; 859386292; 578997184; 136704622; 331011324; 217833790; 779019070; 460036024; 182475788; 509854924; 87645413; 606396373; 445975131; 36796913; 572380639; 304933923; 594701608; 837442421; 850170793; 554619480; 1011907739; 145568504; 849401437; 743167569; 11387031; 83707187; 823207573; 797187353; 170803277; 882010257; 904797975; 675268822; 742655787; 562853077; 1027954056; 1004306476; 978564050; 910998446; 274487797; 736928725; 986313320; 726112405; 793422075; 780710449; 1070349105; 294965396; 11988452; 820859876; 92903818; 953621515; 742788465; 307217383; 344086849; 194369487; 520897822; 876810008; 3437567; 957542189; 301827076; 839980947; 799294265; 748305025; 738513391; 683938027; 388290050; 406406404; 148027871; 353570468; 328124922; 461385615; 109232644; 429259792; 618832463; 746463699; 64952246; 544606505; 122918750; 641633119; 372585205; 668465500; 155911848; 515858475; 206922963; 631761837; 758359164; 944313322; 338383244; 968371063; 257271433; 196967081; 770038975; 134122714; 856057378; 295525101; 756265506; 482436315; 392691106; 482710707; 741510052; 955008837; 518488969; 510346133; 488288712; 645771505; 223427329; 459358984; 161280203; 690205217; 979950683; 888914470; 105008164; 536086659; 899755655; 575326935; 525604443; 28142745; 392410470; 430054436; 473922506; 345588960; 934146959; 768507020; 80113693; 446403933; 26867524; 618869020; 419204973; 494598512; 593786218; 968305875; 403958043; 1036163708; 950653396; 67459176; 817682819; 344479255; 466523369; 925558803; 970219444; 649274942; 788898350; 435173918; 621651491; 382236580; 808361753; 501528830; 749809506; 411597839; 238612417; 49865243; 579324299; 304814850; 282838299; 253176882; 963980960; 259485358; 516580920; 332637715; 1041875532; 126471159; 962154457; 295739092; 676840093; 134577390; 521039421; 881078063; 431059954; 887293340; 158059046; 712161495; 813201652; 820170040; 862964208; 560097734; 591875050; 293730621; 866745174; 859642242; 772083268; 42699980; 643079269; 133332840; 883830918; 717112493; 874558886; 1047162269; 96207029; 706031963; 544849510; 338320737; 239806546; 328844438; 308967294; 524414383; 262928677; 942034456; 1004742427; 453307384; 590823844; 780437880; 742770000; 964497998; 338887144; 65178092; 198915960; 44184250; 423190360; 200106066; 398314862; 185966065; 522993665; 349463783; 935670479; 839462823; 184117720; 834120489; 991962570; 60236004; 202857464; 694533373; 252518824; 472342178; 37595901; 36333351; 204168976; 721818380; 713186211; 598490683; 115620672; 363118571; 325914187; 748699828; 588146860; 621325585; 403707390; 671572862; 58887477; 357056069; 1058641747; 620480908; 455704860; 287070686; 486585871; 841436912; 144547656; 908574865; 798025504; 216653637; 666822520; 189251918; 586637605; 11654029; 60979051; 816187318; 538327045; 403245817; 829340376; 192024834; 1013722511; 995352520; 558902902; 150201478; 37279421; 693161191; 328605352; 1056951757; 609623449; 455500248; 470375728; 641920561; 379948401; 785620609; 321882884; 158403697; 879505453; 535662865; 869230780; 570386519; 502507943; 225300201; 1038315789; 117049524; 723599371; 720811377; 26621807; 283530762; 50636873; 648259847; 725785649; 1060022172; 55596378; 993276659; 201584274; 158089752; 30807634; 441252088; 845810258; 1043627304; 756956635; 589702740; 1040963248; 367248528; 969969467; 146418744; 716857671; 917609052; 83848844; 245385014; 82038659; 856017865; 348282803; 782204069; 943332138; 1002686188; 556536040; 313365180; 153076279; 464494118; 322629523; 925151851; 991937424; 875787586; 163935035; 650086295; 986331305; 177995888; 592983884; 7639635; 954159191; 48742005; 401515649; 858396027; 1004849998; 352748381; 916383634; 626675644; 765775853; 361135634; 22288194; 316610093; 613646825; 300879488; 49495222; 998571228; 221756239; 643344138; 178868848; 159319014; 1012913568; 628256307; 361875259; 183028252; 44310843; 1001451012; 270063572; 423373179; 517956711; 1052460720; 771845165; 156439721; 295327258; 110166312; 82121013; 912886782; 376707961; 705525697; 884352120; 373737314; 412466532; 72436791; 732058072; 451799642; 742872687; 192557495; 988854588; 45990752; 59827955; 541914119; 523033508; 153128871; 249512611; 322041991; 587450070; 952253564; 810190435; 603508561; 767143538; 222807497; 203068443; 281820319; 24614624; 804673290; 137491345; 769614047; 310831555; 91642037; 1039528631; 226882206; 538838710; 932688512; 909610528; 295963328; 293556628; 264939888; 626658416; 782107103; 939811273; 566020823; 182372963; 385705488; 849062712; 313970388; 1064378780; 347521570; 319217600; 996853658; 273330681; 952168282; 421163620; 351029839; 249968552; 276834587; 596573849; 406231487; 350134148; 385574973; 644324583; 182537686; 12890321; 541244319; 581107824; 860931745; 1067867946; 348578087; 257422561; 326968937; 642334250; 35695684; 768911258; 588028550; 274384047; 85571147; 77456853; 518210555; 403946022; 412219722; 996223321; 940393911; 635753354; 943334027; 1066653791; 1007836738; 503424376; 735583791; 265814507; 800650399; 430398090; 773599484; 645556592; 246039794; 582616818; 471745468; 1028496490; 67317884; 836249704; 963519271; 734924953; 844536495; 54977659; 851301822; 812163897; 21143804; 1284055; 922848485; 122878043; 369084908; 377169093; 51984735; 471518319; 940667993; 153298346; 336702014; 295961681; 444487794; 195686797; 770060450; 499606956; 453907174; 377198356; 617741827; 387134336; 838879317; 816858060; 419176788; 707807565; 298278018; 1020684210; 1032899098; 667435129; 964572516; 763896495; 762396220; 79305424; 194373671; 416661852; 537458482; 839195820; 573529154; 1057032965; 398860723; 1045268687; 538766122; 123689598; 113563742; 1064715059; 458629549; 337177269; 875130918; 806800788; 721069160; 773938034; 109364552; 611744801; 25183894; 1016671993; 695172441; 534056982; 398380220; 558023738; 413900700; 173327565; 94776656; 255800594; 100170726; 182183275; 654209659; 424293508; 415385233; 415156967; 286458964; 382972192; 347090479; 241340669; 37945243; 498963339; 869111726; 651212237; 1008554936; 653642517; 690837945; 418094446; 363881185; 598899784; 408714376; 138926611; 382251962; 211780818; 493660978; 313344269; 981276839; 401125598; 918558256; 878790031; 745624603; 445666145; 916158212; 220330145; 539372289; 1022723174; 958880368; 1032148232; 989929166; 932415140; 870140518; 432816598; 166651692; 276516437; 313239100; 990199640; 270356888; 242882606; 290882380; 381225472; 268053071; 821693806; 607969784; 472806377; 738044657; 665525194; 850549127; 1073226239; 885050419; 809884902; 237453434; 781376794; 166675726; 391351181; 253969324; 121039195; 763703304; 442562328; 1026836735; 765406091; 274634266; 52587351; 894353617; 901726458; 62344222; 406125298; 367725994; 614891097; 315055807; 76641691; 964998879; 318251544; 407401085; 314440199; 168254858; 917863934; 735390052; 172089628; 581382218; 192015641; 373505978; 139210462; 793221093; 987147962; 634978881; 242615327; 160277080; 478223199; 899624851; 854309677; 689531257; 587228530; 307890062; 867348025; 277282130; 408485; 638753740; 463919500; 770365746; 1016399694; 292191205; 303479647; 934525473; 926170580; 96805326; 394290649; 765637559; 441752879; 1005911364; 161568521; 104128116; 555629501; 82037812; 171910955; 864689595; 296734627; 1000170711; 301619979; 673344311; 1013355551; 211581151; 800847544; 280133253; 718203788; 560416930; 286165744; 728921609; 794623042; 341049770; 830800084; 640897651; 536055306; 149113962; 226333127; 733828831; 911154777; 203689672; 355354903; 746850876; 742942434; 179744501; 607984602; 793849615; 486280284; 306419651; 142787853; 637628446; 968013853; 167574040; 426622950; 495038880; 843510018; 433892072; 646569701; 65435498; 432681314; 1021007872; 107801209; 710849576; 784107052; 516623928; 168520454; 981592861; 133989933; 958087550; 431068634; 922715233; 760508274; 221590527; 1066052719; 452810640; 850746920; 450575302; 736095729; 306719847; 771325523; 617190901; 554713114; 577463890; 466674899; 494876423; 316189387; 485350771; 651932796; 554225936; 420669859; 739454005; 252063190; 362568984; 62039223; 946757658; 324392653; 836879222; 225432019; 517448264; 848058240; 345514488; 734925441; 109392635; 969473953; 161263597; 549441993; 399255115; 576019441; 62130539; 783266635; 482901915; 772573977; 880918022; 976900038; 767170535; 1021259049; 1002012619; 386752098; 996066728; 747076010; 313051454; 619280475; 370573694; 883763529; 841389609; 161047383; 644036659; 644053740; 125359245; 105192626; 822522525; 87113370; 984366325; 640777113; 454164473; 350455873; 127388575; 282219425; 913236361; 76328580; 1007189891; 15639187; 390184138; 769853591; 866821919; 272272813; 729276898; 30784230; 777963349; 260344360; 929285863; 900386088; 245000438; 41395415; 464631687; 912599727; 563039970; 347548251; 512705085; 105619878; 299591795; 721990819; 529422159; 595027644; 281499364; 34428551; 112886928; 46541888; 914751332; 589091601; 554185788; 423416104; 729428928; 336254545; 994122882; 277460354; 390985915; 1052407885; 348687402; 916736075; 250029140; 411999741; 978098954; 90110699; 149955355; 895760319; 945829523; 610004035; 700560509; 732257324; 865399017; 420957162; 991300067; 990936333; 206082814; 140096011; 313754311; 71997972; 554549611; 336548080; 742292701; 80076399; 1028820614; 864817945; 609399313; 237362710; 490090460; 512993485; 1032015022; 458260692; 1039240760; 900410108; 691096323; 799580552; 480522242; 560884199; 171556252; 1035454155; 876988795; 220866914; 793656887; 207325109; 68643867; 256819688; 292818194; 515240476; 503653659; 772777599; 355236877; 480101414; 317755736; 19355047; 126111428; 904060519; 944922304; 870546064; 47158671; 838897896; 812868154; 439422153; 492791958; 488104244; 492024641; 845180739; 717449952; 233259367; 234333722; 910301007; 218682578; 431938080; 485170576; 874505657; 801858397; 301251697; 341940345; 1072961196; 521696474; 719585224; 609252334; 315324578; 505859817; 626894427; 814555707; 889547939; 890660668; 81030404; 512290742; 836212843; 738859397; 229016154; 981868037; 203600641; 526553036; 730406629; 1050729870; 1026500434; 1001748003; 513225459; 975451163; 129027833; 635168923; 380806248; 902118185; 708828130; 389289274; 291522582; 495049294; 587391541; 492153658; 678547367; 842465543; 479202057; 1049830074; 521470489; 587177760; 947762472; 498891020; 187664315; 111043237; 244031344; 328147194; 427173172; 477145196; 1073314421; 306043001; 577297072; 674315570; 138338148; 572588554; 522345728; 455748738; 793316040; 267026082; 341412136; 930479875; 406067046; 111530178; 15309337; 1015347871; 67266990; 850906158; 758630917; 948559962; 986774666; 799459778; 1004363865; 638260093; 33639646; 848681242; 98304689; 1017954789; 995015724; 926697226; 866199624; 160021600; 458824062; 763903565; 469715987; 921582798; 540506308; 563402485; 126673568; 281603899; 113250587; 284345790; 825173617; 779247235; 472931919; 212599816; 601622251; 241409257; 522887043; 1027823301; 280282838; 513437776; 308943125; 956171668; 311105307; 606831596; 544058027; 1050146898; 45138072; 1045288384; 95461697; 695339898; 954719781; 926945529; 83083790; 328982063; 893271488; 490495080; 221509796; 718464062; 739111815; 95444108; 1055513327; 853079578; 197516398; 50904220; 774320577; 290690663; 539009334; 936170040; 934550237; 921564608; 277806765; 543551782; 436277113; 322323781; 557928633; 549705135; 584731236; 8730895; 773960299; 281217339; 291025791; 877419751; 538460172; 174494545; 81736545; 412710453; 633516350; 240332926; 619797158; 167128194; 954122465; 38802683; 725075566; 87777623; 623696835; 776143058; 726249085; 258322530; 916203701; 134379405; 579384091; 221596740; 27293974; 976984170; 46429364; 911561060; 698115382; 780659807; 1045452608; 555284608; 798632137; 327352875; 530865172; 899405188; 1030808168; 627756608; 958900010; 403070089; 848334964; 152613867; 720400696; 709668209; 754290297; 580297173; 196581731; 660538277; 313920713; 187261942; 759405228; 195637043; 406514610; 847132730; 698997256; 245977113; 629250606; 536147988; 533257609; 806284836; 610902264; 153460591; 996068295; 761448382; 679735516; 43621548; 364729730; 908610298; 594183136; 229921285; 971154353; 456877295; 50027228; 696060545; 172905930; 237918452; 792986818; 358893268; 537620795; 846120512; 318237637; 848450689; 768979489; 429473826; 960800931; 372595323; 950261120; 432638474; 649694985; 972278719; 88754186; 250275563; 83969583; 640590133; 982973292; 205496227; 394885010; 171201311; 524578719; 180110500; 436398768; 648709253; 700974267; 449178638; 1041655919; 583800988; 489905332; 1000379329; 61521584; 571670805; 887440289; 2700932; 1029374127; 404150734; 760970967; 844274199; 477455819; 125837032; 926316072; 891302885; 901652836; 816640733; 410090152; 1070211381; 563797868; 941447138; 489290033; 974281285; 719490614; 384608370; 1006921842; 813313567; 795322977; 83617254; 866378348; 752018789; 42298556; 642497871; 235938273; 586565145; 1016807843; 473174750; 332895782; 320113156; 1058190453; 326259143; 906938518; 524602185; 846323683; 635930670; 697988742; 341597947; 77231805; 745682702; 210924312; 1061877390; 138339493; 583214848; 419575659; 251493641; 380764841; 1052536278; 289539371; 998700853; 403131713; 348995139; 142474933; 122214061; 512702264; 16686564; 710843309; 117027304; 1046753571; 592265148; 150449078; 442661901; 356680591; 21701355; 408019385; 566345983; 816462046; 776229332; 353478270; 991916553; 644260840; 524364961; 553836566; 434750717; 1027823344; 248847013; 261395205; 726122640; 189299890; 863971891; 148297657; 101248980; 291919847; 744331094; 201990968; 398684344; 443117690; 581251493; 610462117; 760515980; 340378706; 320858372; 824211594; 206463534; 847962034; 365797841; 1033670308; 560491659; 450171378; 557716526; 696821612; 357414582; 836912580; 470495426; 976975182; 394276658; 528373467; 909038823; 77863243; 1011414900; 383929824; 59095674; 134208704; 951195189; 672726644; 673206424; 660828962; 165012944; 320072615; 58856596; 737841147; 824462762; 103343769; 789637816; 557395637; 783968362; 291865537; 686659007; 867316547; 482633220; 370459330; 363410259; 1073081246; 141120324; 8008496; 333177059; 1062421263; 294592980; 55309496; 690523675; 121929722; 206309569; 138614612; 781846544; 1040290425; 727493506; 788944382; 392704091; 994650353; 727741617; 788713058; 864447120; 407419322; 78420864; 694274946; 171053078; 948216176; 848412779; 128747646; 936527254; 896715119; 503784820; 98568955; 143538931; 985743572; 57171438; 123699825; 123698919; 907473147; 1031049481; 362805208; 358768329; 99307165; 803513011; 885600340; 768489846; 530377025; 675840423; 714833719; 996987584; 982976191; 318836153; 156610562; 31293448; 108949139; 493601417; 71561383; 493761184; 557131772; 960046442; 538522721; 165645272; 81986214; 290445053; 547187605; 192059602; 864654126; 858613070; 923918887; 507234396; 297357204; 912283169; 96888295; 286587179; 1052928; 987390657; 805082528; 856707045; 77888557; 581845489; 143263292; 422850961; 1001085177; 520793760; 195420856; 292309704; 149125126; 1022784196; 367009950; 944776269; 371586555; 854744077; 21505657; 85773952; 233983394; 71909837; 360811004; 153926884; 139525779; 189709755; 1055403023; 728829114; 264946647; 1030028689; 850694727; 1035992081; 939252093; 680869508; 538487901; 102684421; 104696609; 556377608; 931415490; 873150538; 627300277; 68262956; 835410622; 647809473; 452450658; 634825830; 516309279; 1022752607; 253787656; 735589508; 1054431551; 773977082; 404433091; 145962877; 1008561520; 1023877816; 398687380; 1064847850; 498170227; 347187263; 61515469; 1013632809; 581064119; 1052007257; 1068077394; 196207104; 251550982; 362719363; 912727497; 659741394; 377537045; 1050707998; 724013260; 964986641; 708942374; 821998590; 1036555147; 581508263; 565059937; 257539852; 119246840; 781699549; 355980296; 184851505; 732567733; 38520610; 1003312036; 277860218; 153615422; 874484631; 348936996; 659400154; 85347925; 911030499; 130378575; 521018857; 532112031; 534430911; 735771451; 67308734; 402104543; 959452136; 739107024; 92148479; 390620090; 3229128; 460609195; 1052713702; 343112649; 1001967252; 862003018; 461830298; 1068191061; 917192788; 634047843; 889392567; 807345843; 329790229; 878798616; 931606373; 780432338; 215413984; 341733237; 760810122; 6240676; 258856360; 58285577; 707595585; 899451345; 212733869; 249522230; 612904049; 947410746; 327798274; 580072518; 988648373; 949051718; 42072609; 501170589; 321892748; 914452294; 572164304; 341243717; 241448476; 1045057871; 918021538; 710840666; 861626535; 474118174; 731860028; 984053578; 210989565; 503179647; 984228371; 258845647; 156820006; 389926908; 164188438; 244070512; 992864055; 147046987; 573370502; 1019068562; 974262441; 578379197; 72776730; 560830320; 687755526; 878374566; 306994631; 963962823; 591585853; 1056915682; 570187991; 268954040; 472008272; 931180866; 1023588464; 575591390; 1059892599; 945682938; 915401200; 777746761; 476632720; 711515934; 853383583; 517891444; 1070979586; 317441147; 76355601; 199167724; 601073700; 696893339; 683656396; 879479446; 350958153; 56999412; 92240937; 592773354; 167670248; 487276260; 512289484; 67151096; 639535799; 552843405; 659961334; 1033941141; 85653306; 355835922; 364127730; 115043124; 140850505; 516747316; 915844726; 27847732; 797123886; 949476309; 471260421; 943125698; 891217591; 843586099; 876976272; 157343900; 336050176; 805756942; 975762428; 541123537; 664367498; 381637493; 234851065; 22168529; 730300367; 326190349; 346050917; 247191035; 242463233; 780441414; 253907171; 42631825; 465943235; 872040722; 27328910; 649715427; 458832938; 59898802; 109271253; 899912226; 893761843; 98516272; 858052492; 983231024; 201644176; 559012605; 180326619; 83788962; 348175647; 57143063; 257108217; 430385878; 785680220; 201776160; 506671312; 101900625; 24489043; 586649984; 109204154; 1043426448; 757566496; 876517045; 487125700; 352640113; 601753736; 793420385; 696769196; 871633534; 41234380; 151882252; 401828548; 772211287; 184752749; 487648402; 415682806; 740837595; 678497099; 266614133; 147954683; 779746973; 557816384; 245315923; 934141214; 166432282; 643558077; 821317501; 752477222; 1049665626; 254933244; 871572804; 711726136; 203010408; 607811751; 112252740; 769003124; 569863252; 137229722; 597132062; 94589556; 221242173; 474118555; 621252595; 397333851; 270597382; 672161633; 689160573; 775650653; 370428177; 895178185; 1021376059; 1017497366; 217838673; 827568685; 138731236; 613999314; 885797542; 805031986; 708246188; 730927742; 642292567; 522480345; 697313664; 800884804; 130351210; 715387705; 249048566; 106088597; 828642733; 478591066; 693732615; 866088248; 189148331; 136757735; 1024751349; 442988729; 1053710183; 631210583; 683800710; 889431180; 336638634; 243695; 1004189273; 194505347; 783207148; 233636023; 329065375; 991335541; 506953198; 577398025; 314171883; 506346747; 53762515; 47896914; 1012999800; 494651356; 875380037; 304043169; 540291121; 151406264; 1014827772; 447981875; 914105800; 538957165; 990508425; 410926874; 255827422; 709073857; 1011612921; 389742852; 698483748; 103593144; 1068432325; 628421526; 891883156; 235951652; 425763673; 706521733; 858787422; 430408844; 1018326432; 932805400; 893206608; 546970792; 264640097; 514430075; 606316940; 871688727; 496170075; 576966586; 340470181; 428942996; 612510737; 880027661; 100182; 841335768; 574639859; 653322739; 646379250; 152268876; 872121504; 476712118; 790916492; 425574736; 848580878; 628886113; 875229104; 629925713; 40339480; 413792091; 924355336; 469087597; 315772618; 447512012; 692774097; 113672453; 184932577; 900920625; 282897351; 459847922; 535565568; 471063840; 32844872; 627645781; 875969890; 720432903; 673180975; 446338374; 1038970447; 3552719; 612783131; 1054195937; 444257706; 19444367; 858068767; 267178690; 643371006; 491038873; 293857420; 817568037; 624375568; 979471449; 17904730; 617746406; 635029492; 45611069; 98379293; 745175660; 256932343; 862331001; 747585322; 983911892; 127702048; 882162905; 85309366; 724318157; 876045838; 55933527; 709566263; 809826725; 493299732; 391146931; 958495602; 966714275; 641162237; 448151734; 374179660; 950443593; 330423160; 875441730; 223835314; 135550858; 866381231; 920485818; 626988980; 131211539; 297371292; 53607734; 1060498515; 455196551; 142986829; 414133508; 668520150; 629997040; 95692511; 17910990; 39370376; 373744768; 780518224; 717326893; 365509695; 1021130302; 446739671; 926195390; 553634308; 633867646; 798030814; 9518160; 716094186; 330376869; 31959725; 812817356; 830397094; 105017513; 132232389; 334321255; 141247377; 44922481; 667291681; 642642271; 789516589; 806599324; 235594817; 42949544; 991948226; 645376834; 110119365; 622209228; 229009308; 922471015; 607452881; 950440543; 660610230; 173785509; 623615828; 919715100; 859643229; 922020288; 576550049; 211157786; 569143015; 989157218; 114091065; 266138692; 487372419; 776553451; 842033275; 549900708; 3304857; 1026063733; 843975458; 640405793; 707435166; 452979788; 187148873; 1002178648; 304272831; 641037757; 795083055; 551302165; 554436852; 1015651810; 767695402; 187377853; 173902945; 1032388129; 636547259; 866662237; 816973370; 852345691; 174356974; 369724358; 296832391; 557741917; 132029128; 974097909; 248500932; 461932929; 445192366; 119241676; 680095134; 928910958; 967513382; 768467977; 1020349421; 383473128; 757833323; 568005986; 616120970; 528153919; 176478795; 182096914; 174408743; 790634615; 304923047; 972970607; 951448438; 131277801; 866574303; 337250672; 1053003913; 553543569; 859856519; 438283510; 325345348; 47638543; 323918653; 597489431; 67625967; 636269983; 464119171; 413897624; 725148130; 734416732; 973823217; 740477664; 905157575; 881338482; 4416724; 380950482; 765499271; 483635334; 995211955; 525842198; 252472603; 330870978; 678556840; 506090153; 703870704; 667460535; 81366754; 468158404; 714927162; 886519839; 830691943; 1064503512; 952319240; 282239609; 1072473986; 90705998; 704363577; 433772830; 687233235; 875693069; 694743299; 908032907; 116660703; 26029535; 27083107; 317964799; 527014231; 1048677440; 1006128946; 563072379; 409186842; 733293316; 706543871; 306059905; 547612345; 842056032; 211010190; 220701039; 193647656; 747101209; 349099612; 560024455; 862701273; 584220099; 1063819063; 901092682; 1041011866; 294908262; 558424261; 928446355; 185153046; 978122462; 374530555; 533319116; 581084748; 721368013; 570548560; 972236772; 179368007; 777212217; 236303019; 915788061; 737052485; 33177656; 83519945; 879641009; 899145470; 773682867; 584026731; 138426155; 714558330; 845375790; 105258792; 626252653; 730931359; 774134060; 446105690; 508686410; 91508018; 955536985; 1026710725; 587331648; 99660532; 1060687829; 260748236; 340484556; 782376725; 219395940; 760303762; 985608263; 308612382; 837165720; 572749874; 432243039; 263798572; 743550791; 212854395; 802658761; 628106616; 644849308; 101720835; 577824330; 869763111; 18171774; 1008116480; 57562422; 105294263; 338134804; 160063268; 409555934; 517536332; 816453355; 637234563; 508465682; 1126490; 1049652969; 922023803; 1066683412; 167937063; 599860599; 629007556; 1050415897; 1035096174; 826720160; 385348600; 658094699; 27109136; 954496080; 1068542749; 9645733; 786750612; 245586809; 70010616; 914375513; 235851866; 518611338; 925772838; 750227943; 1021666217; 282623573; 837856989; 883057388; 773715339; 766506724; 768346300; 354782542; 839092118; 882418638; 579106489; 677438591; 879141085; 576880381; 471512247; 671156316; 920953904; 547602677; 181267625; 6490862; 999001528; 170726026; 81393415; 996182528; 964084105; 329834233; 478205182; 558483873; 439780999; 743154139; 963181294; 22163843; 780556681; 113458674; 281467646; 658303777; 384492326; 67942899; 954706229; 167777374; 450116987; 443864305; 201308212; 853922; 767799561; 902640658; 281030867; 192124995; 523141951; 606153577; 803356757; 43477961; 856890128; 9807203; 869847639; 658457486; 738364101; 89070783; 818969757; 1014903118; 449747361; 914640370; 195140964; 221623844; 1027395154; 905567963; 712308065; 687946800; 952323411; 1000539583; 617989638; 862394919; 57278191; 189510420; 477444648; 135916551; 828287595; 285171325; 1046251375; 943347922; 990466815; 876421856; 1040168500; 861480881; 53403136; 939351988; 239419429; 53405242; 981014308; 879856109; 615305725; 786280390; 880744539; 270261899; 124066305; 378719299; 270328430; 38612432; 305051513; 289072487; 997699588; 70267687; 787876899; 364988606; 966739275; 357075101; 213061255; 540291282; 160685002; 728793356; 440241897; 120956014; 85802581; 420272385; 443020818; 839810985; 389788407; 24115562; 515423260; 940776373; 850367732; 310259251; 199568651; 888682373; 250102500; 272878249; 113483609; 1036891146; 1003200415; 714602819; 74301664; 941370081; 667217405; 687461775; 456498163; 681865454; 122516027; 377113176; 101701312; 402194174; 668910487; 124875268; 752460573; 642469853; 405917745; 67699950; 357173083; 142867047; 948947232; 643727883; 260335852; 49679577; 1014438596; 237122804; 854325049; 556896900; 88308553; 983266960; 863928288; 193966563; 240860885; 494301114; 696528664; 665928358; 730671991; 477094183; 436444504; 361117935; 117146594; 652501438; 9505352; 75893078; 1042524787; 116013598; 511559078; 18843953; 448019842; 258101559; 226086141; 966714337; 777696321; 564927485; 643584007; 84489141; 1043977517; 338911861; 302501053; 534329115; 104396911; 534782370; 1029345247; 655720181; 950732889; 490649805; 452118196; 52977997; 284908857; 1068768903; 808663208; 136237970; 1061631900; 711579185; 774324151; 612124713; 885887100; 254490674; 968602585; 721193626; 208262343; 968064597; 839534818; 895955978; 27157655; 557162421; 669094966; 288433636; 865134941; 152274944; 255524069; 814640743; 685029078; 262423889; 365466634; 425856906; 717342593; 530441274; 435121880; 943462074; 717866497; 649642977; 357645544; 489795184; 611180319; 351707650; 1002817688; 992464967; 488029664; 873301787; 643533734; 922145757; 730571066; 849989376; 443212020; 751204461; 794904966; 898569121; 404347089; 607207590; 693079445; 430739563; 664251797; 695396786; 49078196; 295595827; 792938259; 951680083; 835940058; 473339586; 775974713; 52697265; 1070821486; 846880310; 392325690; 609868099; 788538298; 1025952363; 730715779; 11836824; 160231433; 772448588; 519348737; 591906716; 702998120; 44320693; 1014793058; 328554269; 529058204; 514943414; 65673502; 422388786; 727358722; 509961086; 127460740; 46798567; 756198058; 738559358; 412489865; 1057233558; 265250245; 876352441; 528632969; 120583980; 415867061; 395080827; 340836451; 1025806514; 478669458; 152603144; 772771048; 547331399; 581569033; 939169362; 139243546; 825512435; 462124702; 93160332; 850945560; 894291691; 716285687; 913962640; 567781687; 983690616; 178994913; 991905859; 696374527; 240930337; 709507334; 365862090; 1055838209; 546944147; 8671470; 554357064; 929552734; 576077522; 589108516; 151899313; 505539030; 635639998; 588038043; 83282190; 927754744; 409255344; 427372425; 1036544880; 98222457; 592580692; 1072550396; 813056799; 963085060; 506012159; 206707589; 103975080; 353058967; 552528283; 253384326; 1057077821; 520101920; 32356779; 227441856; 991293119; 1030252281; 347584742; 665178250; 695550666; 972365574; 1059937370; 192450245; 435177508; 1022542548; 658928075; 305318714; 717035759; 306664158; 253069783; 7470160; 252317914; 435628925; 429536119; 641446850; 161012551; 66403191; 219973055; 378091579; 406317551; 704154594; 578096310; 482048768; 1042783096; 237485434; 104853781; 147469548; 37070685; 752847913; 960708607; 579719092; 1030039844; 444369916; 987256117; 543548941; 800132530; 647224031; 668874987; 1005943002; 749014381; 918706538; 930616306; 37377957; 361856635; 1037926356; 111447959; 38756578; 476249580; 179633603; 54977729; 1032602165; 785959504; 541277170; 708191245; 650414792; 221655438; 412407081; 33418860; 328595457; 62162255; 2394210; 516271370; 431905182; 161582819; 810064375; 472450593; 766430134; 250729395; 497369268; 183379462; 288891885; 281875021; 588729946; 865039826; 270273086; 970820102; 447778455; 905011331; 25826440; 369546070; 1011121602; 946229366; 108687807; 436727382; 690714284; 978063900; 762330442; 446225876; 847374098; 142281141; 846484560; 55383292; 829100700; 732158886; 291703050; 351487190; 1037075512; 756885845; 274515211; 512775353; 1026257950; 178098471; 86951125; 404702731; 1061392765; 748145992; 923008441; 203549803; 558075918; 694367731; 955273200; 505731850; 138174725; 990095292; 204947366; 188511435; 11890937; 44909486; 959392558; 489459517; 735122944; 1070547703; 237881277; 712794856; 758275122; 180020869; 84039543; 594600028; 784854861; 257718867; 213426040; 852627097; 929241285; 90018272; 712602126; 149261807; 1002036801; 797330845; 731931888; 172888987; 164084211; 461851244; 919076723; 30225124; 723134838; 472863888; 361379736; 28634564; 120883041; 1018299105; 408265875; 343774940; 114671501; 179242472; 706416390; 188456608; 579404858; 222135318; 581868555; 522941741; 389419526; 305031884; 311533880; 734307053; 225066592; 654101624; 836977748; 768198308; 331000306; 465659881; 751095663; 1071321255; 515884146; 363158875; 403994250; 1025247873; 308774558; 961963311; 230634618; 113530398; 175032790; 330124758; 65622916; 820533249; 872626252; 900346729; 772767504; 701640849; 742872648; 869921661; 330423607; 30985147; 1068625242; 687780301; 473609251; 1000945286; 658473900; 425031663; 1015039692; 357387223; 1026679042; 404890861; 72470453; 548883196; 921332374; 294932084; 459892110; 98684483; 728746421; 808471134; 881255777; 210075983; 690794740; 281573498; 852603630; 700544242; 328492549; 674414380; 130942143; 13232445; 683315832; 742490648; 740934666; 970578671; 50713123; 870125108; 728932609; 981398209; 89898831; 201161036; 582083434; 968097927; 346781889; 867674719; 220139984; 812352662; 324982021; 979242083; 171023728; 965347333; 432255017; 302498208; 116888162; 722877075; 722160004; 687453395; 1021831382; 773346845; 965436639; 756633032; 456085501; 757505762; 856741326; 829521073; 632988145; 135404350; 949677690; 350003616; 145000736; 205003157; 905649621; 815191763; 204507178; 686382716; 760932521; 747055433; 309071625; 653127417; 289259420; 356849946; 453122582; 762392800; 549811169; 431646923; 217915463; 391563326; 674156890; 493307070; 639106521; 99923628; 301193332; 441686387; 564385191; 684533512; 42514012; 60776943; 348275216; 1038222068; 552125247; 603423285; 920639137; 505207767; 389888120; 1057115470; 382813033; 768616385; 161230696; 222459515; 1061588368; 211245643; 196068045; 214716201; 524788740; 193309729; 1018690847; 604662919; 181732876; 648659295; 671032680; 762878730; 767408099; 877530334; 1001409203; 209392765; 909267022; 626095561; 227866755; 548968883; 37528839; 432229876; 742085132; 506820165; 838821023; 774709699; 377860442; 231384176; 808128; 911694356; 439912252; 520185194; 440268250; 411463881; 12545577; 677955320; 406091981; 333018727; 262325391; 838878277; 500864014; 50589688; 819204043; 410269397; 379892228; 1030115903; 335045019; 352051806; 149188520; 484402648; 624173633; 980636755; 796480723; 1029139020; 975001168; 382810093; 380175171; 943156876; 590095876; 610927124; 969057845; 749241936; 199296282; 303907878; 789849638; 588665993; 543179585; 881562412; 215173367; 889982159; 777072495; 625462288; 1040109717; 490081163; 393132840; 999899540; 648280553; 470181313; 647334726; 808896266; 291401850; 930908144; 472572692; 43373040; 1009701894; 1036319648; 313445073; 256411464; 371303929; 726915452; 793680512; 352466095; 883172252; 928833666; 663678396; 436919046; 873252426; 613161454; 314386473; 576353072; 62077609; 84299084; 627353458; 277334114; 11908720; 82274586; 746695487; 793369047; 153566426; 947479332; 172780679; 356913663; 1020720214; 606029612; 480257450; 726820840; 635349339; 508723535; 361076935; 93285381; 891627292; 973414354; 102160717; 1064508569; 369448941; 440899524; 164329878; 576573878; 590518820; 615364990; 162495379; 383511459; 791551903; 1044022607; 422475896; 217530852; 387344838; 256802984; 203016521; 752655034; 572764653; 325267462; 727412112; 334673803; 488882441; 153137206; 717707881; 867206484; 83908892; 211783381; 700428938; 888709273; 556771890; 292365568; 814205207; 661330031; 1021368058; 883288209; 16532903; 943317983; 885422017; 210258637; 807723294; 35511134; 38824968; 656101857; 854878537; 1065785816; 232041893; 358862324; 1019341193; 906071838; 593582367; 831309074; 196133583; 1044719655; 343436202; 80110751; 957550185; 520717322; 962846290; 348678182; 662340385; 771935731; 715055426; 1005661990; 960259429; 963359987; 751037315; 395566154; 529552441; 812042622; 947808979; 793704235; 186053505; 885449942; 893236369; 693320483; 495459368; 819569477; 831883108; 621210826; 695021728; 1067016193; 278468085; 961669053; 428380685; 217643985; 104896698; 430504374; 359291234; 50766021; 921885998; 205178452; 204242928; 14009395; 178272567; 119868593; 421411119; 648192174; 902402122; 494619918; 400348158; 875153534; 297813934; 704405531; 208588280; 1050648450; 326748652; 958041057; 375535259; 34938690; 56104103; 5954405; 152964050; 624804151; 524176741; 909446789; 544197795; 561277856; 63037477; 1045802480; 669858844; 975160029; 49114690; 153981787; 454729901; 89468500; 168778305; 135464152; 1002874701; 976431807; 967856087; 291251628; 414393972; 837429450; 351965359; 382393975; 933254763; 296138110; 19265672; 159270004; 487071859; 1022813930; 1051193802; 108690391; 790776665; 290134607; 709718810; 492686581; 611869261; 856394649; 363011751; 663334011; 215173078; 802680935; 564130269; 811253244; 105307724; 207194843; 17688079; 298286978; 386750398; 681707029; 145653281; 575675299; 525840754; 259391026; 164480445; 372786784; 258181828; 865680608; 120112363; 705416228; 110507689; 212832706; 105456996; 887965498; 349021357; 119302379; 928513565; 622238177; 580420761; 701935064; 536991903; 671051126; 80670464; 428015849; 703676297; 1014058148; 532907006; 950104027; 2624226; 24360589; 330118155; 900505559; 889171265; 601553069; 559239055; 632081902; 307255827; 48957135; 267637010; 1863848; 953872790; 725681896; 195347342; 1054241265; 735279394; 1044131882; 369014626; 493064831; 291361021; 574038177; 696848510; 841260871; 548896215; 599425258; 301673877; 504114805; 712997263; 35502841; 366423531; 985399085; 235244888; 353262450; 507994648; 633184256; 705967252; 581732697; 289976006; 1059062141; 948162993; 86520744; 395430943; 1753870; 777839377; 832367474; 752689569; 817453156; 9910982; 858066782; 167007869; 1045350526; 461761877; 197283238; 288551453; 569980645; 950633695; 148345660; 935157468; 949427336; 392864220; 126290351; 677923309; 865782774; 944947481; 684458941; 183215596; 351184830; 115943387; 1022312865; 967345410; 1047031752; 677213465; 4366181; 579467847; 981190672; 218385062; 1054088754; 600697187; 57943852; 769110253; 745959688; 487656177; 6713453; 865164718; 430093473; 868531849; 733606698; 532294983; 331173414; 480274600; 650422412; 297689278; 101639422; 1065209753; 545169071; 524597666; 1013435356; 82375020; 372971165; 1071505660; 240479672; 403509589; 118567679; 367455195; 1059514563; 729241006; 247593286; 359179504; 483768154; 198599189; 867380351; 165669270; 934779648; 408738170; 653555593; 1046725786; 1059065639; 916916216; 111104287; 984965728; 476241051; 770490241; 183764976; 953845900; 632389349; 850994259; 407682331; 256662109; 633166134; 988553724; 373945356; 836918378; 184534535; 741790803; 1000885135; 730243593; 433198279; 261202178; 390747838; 758194067; 848054784; 215214177; 863115723; 962841945; 476351237; 1011204353; 490256747; 820813483; 540718218; 622570569; 213374262; 799458422; 606181187; 256015071; 527995632; 70437295; 353056643; 483150639; 200941893; 11153515; 774848454; 53772264; 544635976; 704090008; 171238084; 787752740; 760272287; 2376793; 488411636; 403552256; 757349173; 403499904; 186916341; 691121865; 853343144; 1036747187; 327443393; 670590158; 337040363; 268583651; 187445999; 972062594; 115483741; 695669156; 979723845; 502953650; 873363102; 970644710; 467407862; 422812421; 436562511; 769556176; 573936191; 155119515; 983175626; 753493106; 818202576; 497720151; 429503021; 866531287; 30144211; 1000672632; 1043195468; 377252753; 894065326; 11805267; 822849976; 329097445; 514234086; 123575513; 769348406; 881512048; 317282814; 528056202; 628768843; 456811323; 495376772; 398227962; 483343035; 821286109; 827177352; 616585079; 755220677; 919349146; 985469079; 470573653; 164097686; 689624416; 65929115; 832034886; 554269666; 932453603; 605880246; 426381515; 231721993; 94466363; 296350031; 782245353; 492679045; 948095368; 924607778; 739789870; 1011561275; 264159316; 381172346; 158092176; 723498166; 412296454; 1000444120; 244158886; 253090938; 694622697; 792792932; 625781167; 906780816; 302909486; 384637713; 771460818; 537930938; 38578683; 1038699678; 397760386; 447876162; 622104059; 530087102; 460868860; 496944466; 669176346; 1122158; 874150994; 361816684; 2684792; 491356367; 126770725; 75932862; 476055504; 890255209; 643399609; 68060543; 535282881; 819868749; 426721524; 849890044; 685883218; 80492680; 560521953; 404239318; 733646468; 788590801; 313732400; 232818392; 694394656; 422360171; 1062194428; 268057910; 154299247; 817732127; 924568366; 556109714; 478864736; 708085787; 941727133; 293537377; 506349144; 220848752; 388812235; 504178172; 1068878765; 721514439; 433896588; 868076715; 553796837; 621630652; 1031979512; 975993671; 19121808; 697885336; 524415921; 469598679; 536355176; 607828685; 1046830475; 1013854168; 1067001676; 268731830; 317651715; 293640785; 214918800; 102323609; 959531289; 278393830; 348300068; 285604568; 158305974; 9711275; 765906592; 647195931; 893148427; 305268728; 89855923; 271800398; 766759453; 125332767; 555355053; 471842026; 832832139; 925478292; 801831386; 175565552; 377755773; 987920352; 960420951; 899752064; 1029637234; 748306372; 140772897; 484372955; 1026815044; 1032640480; 327263102; 803230270; 30025374; 1030156813; 11465996; 697878637; 296059015; 313469425; 1037157213; 353397896; 846213516; 190683940; 150519443; 661709000; 1015808721; 959058461; 132085002; 428470742; 1030282974; 620572739; 562561644; 567804983; 936033254; 70648265; 379457877; 445212412; 130072811; 495473252; 446771585; 910659620; 451701532; 208348490; 23240761; 423682774; 608637463; 644242493; 783968045; 899419553; 9279007; 33811840; 573199261; 595388895; 833705271; 89741105; 604412924; 1022930158; 804428421; 85300434; 428866728; 118512934; 183509411; 648768164; 402934510; 664572541; 574969731; 12812904; 760824524; 26873173; 827772564; 586388830; 1036394265; 879745076; 644388928; 151469423; 229552932; 1062240990; 890631215; 285554656; 171340409; 761784790; 139832169; 433157585; 1056267242; 405456051; 592127424; 186333407; 746527153; 832004161; 1028254743; 906023236; 365491396; 102239866; 438425260; 411997046; 619098509; 829656820; 162005287; 732778687; 861328515; 164970454; 793132511; 141455665; 821886921; 261693156; 733177676; 817412656; 315630069; 856494853; 793027700; 694170400; 546043488; 130476658; 791821156; 612358338; 901948819; 186690161; 261624032; 838384357; 627704093; 490488406; 668825435; 870715235; 122478388; 964187722; 932960841; 576341626; 690956973; 802373600; 276335634; 857429953; 637182711; 597147604; 936317544; 561481558; 905006534; 216950847; 773369687; 913595017; 808869818; 508935589; 568175159; 908963386; 886938744; 534302983; 741895721; 51367094; 700895539; 226948910; 845227638; 248593280; 104501375; 282244865; 749610229; 365078090; 60647631; 556485031; 470137299; 766759489; 905746476; 882413768; 335529669; 217078841; 1055638483; 731608161; 1021988851; 852360642; 44014766; 21809944; 505401854; 367831504; 835092007; 321331822; 971428500; 1026206678; 244315526; 779295898; 670576168; 972892180; 506804069; 17808101; 369912144; 194876957; 139130707; 921002853; 780194528; 363098876; 876261918; 783647632; 257057142; 117654365; 437988422; 905412491; 500299749; 387027100; 73157906; 249088912; 602876564; 720510546; 883130522; 920013553; 565472830; 192548477; 880910940; 598926117; 37330951; 157307696; 32874542; 416049261; 328288114; 311388246; 792937050; 513866535; 413620343; 412339864; 698602858; 783471948; 496879562; 1013611972; 475963287; 120345698; 429464378; 496258818; 816452860; 97201594; 545031180; 274043834; 918338003; 1056630435; 383719524; 1062730864; 874665113; 142281634; 1038135795; 782287882; 1051740324; 857667976; 660392424; 978475804; 800670863; 512521644; 851202374; 359320811; 169450709; 815137886; 376436806; 814153981; 351048398; 85467218; 756450929; 149815788; 504828217; 553237820; 40624730; 837398485; 811551155; 9517563; 351705055; 460743887; 553850640; 557778489; 202014421; 165707499; 331874289; 940361492; 801871111; 943885234; 1000338231; 175950934; 522007696; 981716289; 319954316; 256853947; 879552692; 309913757; 257369177; 847819176; 822658580; 876226652; 597266924; 583713028; 398485087; 493739543; 5406716; 8870938; 554136742; 994562633; 295353884; 771973430; 433173726; 497589628; 541306080; 834701082; 675678100; 633313319; 465463485; 229098926; 892651520; 64195706; 376718288; 779423599; 236526315; 75269974; 488270580; 200550306; 735084842; 892825101; 459352355; 913482830; 924666932; 146918674; 817313468; 539470429; 669045292; 279026266; 454045623; 968530668; 872658160; 747687825; 1060154540; 91053171; 572086461; 578099542; 331829588; 532970639; 425953615; 516172628; 534288243; 887018343; 913061705; 909447917; 323770847; 1023870130; 199013076; 685667598; 1040833912; 24032840; 751688801; 1015668747; 872536581; 114792536; 357189858; 57685560; 289906062; 683026795; 684982807; 934992712; 238176574; 267320397; 849419108; 631987249; 573796706; 439536368; 326928477; 635013264; 884555056; 1043174948; 568524187; 720711311; 558631223; 760097927; 498489692; 134616845; 873885298; 853734273; 85371565; 623013401; 1053948311; 9360194; 734144083; 623924118; 908455730; 54344326; 265509775; 611259201; 786000141; 836123950; 428767967; 823655617; 204866428; 863900784; 933951921; 476170885; 396124435; 699126907; 213341345; 742525966; 608843113; 259736067; 786100836; 1002533410; 364811789; 260785935; 11230918; 931787745; 938383991; 180759456; 526994293; 438935101; 948185061; 112440689; 698731578; 583955408; 408696002; 537251166; 414540601; 573449998; 347473455; 330493234; 945877185; 915019013; 755396553; 338238871; 544476468; 588684650; 915409356; 1038512024; 1047867519; 1016631228; 344396040; 187715515; 1039706234; 298949084; 907286306; 159700728; 100441160; 410644346; 556037229; 824709999; 168814356; 388617877; 400203047; 628623414; 588722753; 313873298; 626947199; 594859467; 400763441; 298488626; 746790462; 491477872; 966000164; 304223990; 633776642; 86224005; 1012817860; 938396745; 1028880592; 15263903; 838731605; 773499303; 644254334; 460370318; 602292942; 24452945; 943554929; 951516539; 158077792; 48256879; 220531562; 665878901; 98125157; 968968852; 1046986876; 473002859; 347687857; 884698945; 325520041; 97238222; 1005968921; 667662016; 951776238; 653106768; 43118811; 192988540; 257119850; 177063350; 915923789; 908251008; 117039118; 816292136; 769176582; 797303663; 438373007; 775307085; 1008618746; 663707568; 203174181; 60293161; 439775023; 1001249182; 398061085; 650368141; 849676010; 510173329; 585562051; 639698857; 17059415; 205777725; 733561061; 306800193; 375511009; 228881401; 737056528; 134786738; 71980937; 888233592; 1054260901; 532959020; 215503859; 1049699561; 1039772427; 594394627; 75385499; 1009016057; 907992515; 81399820; 1002445194; 330895768; 1027205493; 840459681; 639851336; 389620313; 747771592; 440467320; 665636009; 153372378; 817376837; 674347494; 293929119; 863895345; 932377204; 703230512; 639827487; 1064757718; 211822530; 949948614; 761755282; 113959097; 48909233; 56843455; 518522676; 117657900; 481609017; 878699521; 407515437; 980108573; 450564188; 937438578; 374603460; 674333012; 945284239; 883624833; 498838650; 978393502; 721009097; 457778155; 219802090; 778534818; 535479460; 797687443; 825961168; 212275440; 466694770; 950430016; 641882046; 854113395; 938756022; 740974182; 742584546; 778729027; 910389953; 440693659; 339812942; 857673753; 585499001; 580664928; 986639292; 490816289; 447625769; 683575058; 364371772; 286431819; 479976411; 93316241; 793571893; 671394787; 515504982; 202490924; 485805820; 190040127; 591894239; 548352168; 4354112; 307304050; 107051263; 972989741; 660405220; 1054451628; 912967812; 412360940; 567612765; 333273497; 516728005; 596834831; 340580942; 766651602; 813127045; 451477325; 499681206; 536900553; 194166815; 431440104; 135898671; 612467169; 912482473; 716938574; 906996738; 8031620; 386848072; 349071572; 132431369; 333637232; 750101670; 402694387; 413715; 701926991; 85356361; 493789728; 769565325; 221238622; 746823861; 571488962; 676235645; 207694743; 456568291; 166536853; 200116195; 1069493456; 13342798; 297335776; 967342725; 732896176; 263886772; 600734409; 1030659764; 972988553; 819581758; 673294333; 788907386; 866872506; 734118155; 81257463; 314716477; 73126222; 143576060; 709787435; 826579820; 434814544; 251037080; 189654601; 401588632; 732204756; 303172452; 286806779; 1049568994; 773886419; 416817136; 210128857; 278047393; 518885691; 563339456; 872629319; 480444745; 764803439; 1006954395; 810422594; 670209660; 308716342; 890728004; 489743286; 556402354; 667194625; 927247933; 210082129; 245406854; 457661163; 1023420185; 959630798; 911061253; 685913131; 29575906; 381953587; 148328998; 1064371461; 380395921; 1041345282; 907846263; 164817652; 311020694; 888787112; 887946351; 98904403; 946872937; 403794746; 805114147; 253560814; 871828114; 83164163; 217105054; 930787601; 203352252; 1073517139; 411069170; 731505698; 880193776; 821229704; 515881721; 186008372; 875360698; 204903694; 215807602; 378473840; 375713065; 1036378349; 611084216; 75380982; 1052743618; 896944652; 960198983; 970846844; 929817574; 430460751; 691239132; 956655496; 912036193; 991469923; 1024682850; 517457538; 372231042; 411985416; 676232104; 644296680; 91932409; 849264196; 653918732; 969008035; 63556074; 239312165; 297590428; 229567942; 266788388; 937104343; 776421431; 1010003788; 990198469; 825392757; 887192496; 2228783; 1031459825; 142945836; 914344633; 766454422; 660877476; 1048794701; 739648791; 298085304; 391572284; 44834987; 675341594; 464037609; 139185060; 365978543; 342569563; 705099875; 344181571; 455982733; 153055222; 886364551; 1029318771; 499606125; 160965255; 626584658; 143713408; 100613940; 995721578; 525110035; 508886104; 835935888; 654478110; 908694785; 962397640; 815770761; 316008629; 82058597; 683550284; 1005133947; 605078111; 592178357; 686202416; 364393912; 917977283; 703583742; 668906881; 14335513; 902316321; 341357730; 819512181; 976337540; 144228205; 837486917; 1071297102; 125992800; 57891650; 817502094; 483596832; 306548008; 629056052; 548069689; 578064911; 514858615; 153000058; 42980816; 346162168; 269110019; 206824197; 656774278; 636452243; 364600458; 355405045; 1023704294; 917708185; 422425411; 790437988; 718803946; 596762728; 851155696; 538075955; 626241079; 127161255; 121644187; 887162836; 980073559; 769760050; 755093216; 889821771; 383600480; 558493852; 433096453; 418305917; 289815676; 942655400; 563268328; 6454416; 426153288; 218181784; 94223643; 498680479; 590379587; 1031506754; 707519124; 1061382012; 605647021; 712890172; 875105848; 486989441; 227386647; 443608519; 401950473; 755026970; 695954066; 5353572; 248304115; 667253600; 174742630; 27650374; 583596295; 65230142; 359250890; 716751411; 567290577; 7969359; 1025506046; 844356617; 884250167; 297806294; 584924154; 320045263; 1045585065; 504681221; 218526057; 960982321; 985198931; 812879402; 972148667; 219813815; 102150668; 26611026; 295393836; 87163267; 394319093; 960668740; 948945709; 568485587; 348799146; 819125505; 833774221; 127196717; 408120071; 194945394; 591825511; 154691549; 889932071; 599654332; 1045425848; 604425151; 587745613; 792648471; 335079941; 199668469; 969343344; 987302410; 674138347; 386563078; 192175755; 895165873; 610536429; 836121172; 568096920; 172278729; 164887764; 432454769; 296476258; 348021181; 553762225; 349827745; 753782025; 375270593; 943776730; 996835100; 346280139; 369459009; 563219871; 889473475; 863982767; 576468432; 1055326906; 501099891; 81232277; 40878670; 999284966; 951502013; 1005417870; 275826671; 215177079; 134614713; 754616913; 876301864; 968916288; 382429012; 894756735; 473150359; 595299367; 957244776; 162118378; 420098481; 1057232570; 707067566; 537052390; 246028259; 53090333; 314334685; 211686699; 56232367; 78718033; 956324331; 442800191; 745519855; 306597775; 357543883; 304872629; 573879565; 114639234; 410879038; 471710181; 938014516; 686931459; 1066889668; 528500609; 1057582728; 366070245; 1000019534; 778525037; 512179233; 561195580; 295491528; 1053101517; 316988314; 148254704; 892803032; 604192150; 18351853; 1027213811; 468341632; 1002477654; 610813607; 300507927; 43131883; 479480208; 411613554; 20688150; 809642151; 11533334; 544095417; 707952834; 1033264963; 604440341; 794694631; 994150129; 573914342; 72705386; 243752145; 1031214772; 977762297; 140182450; 71536758; 669205965; 698672175; 924684691; 879430196; 286220264; 727492101; 60398946; 675323699; 915586410; 865977002; 1033071935; 994441136; 838097776; 268235241; 1033350738; 260577009; 941622918; 754198702; 1012071090; 516092820; 487979388; 822115963; 486292066; 290931461; 984488831; 1004051900; 757596316; 736975131; 326056407; 297102290; 845585795; 724651333; 828956677; 18607743; 13892320; 26788835; 253600737; 977595192; 22982472; 344938048; 810342872; 87570401; 298811595; 852468105; 300943034; 843651106; 834567333; 88883031; 362429486; 98197474; 924458277; 221022277; 261798432; 159545329; 193030018; 181919410; 349343137; 321795307; 936064013; 268805742; 783294648; 974892552; 282515290; 887401970; 1046232819; 351180760; 211451797; 497810861; 486938138; 722791599; 1050671769; 360603521; 752748242; 89494148; 534746964; 781312939; 104301214; 169544249; 1062905105; 450505358; 985472062; 193813005; 90450420; 69777603; 350510954; 258182631; 141630928; 195616281; 440064753; 775354958; 661164510; 690947851; 238343118; 339797921; 851609440; 490279403; 1000631906; 228202040; 1051334473; 648630; 71000351; 259624005; 108544275; 273117673; 329436609; 690366617; 988332361; 70904029; 305647317; 240479136; 151603388; 979030504; 295901908; 966425372; 907230510; 363055228; 871802298; 287069410; 685085518; 630292562; 123698178; 163552467; 385980753; 783049053; 278912560; 376314539; 403474942; 890114418; 985773800; 95751582; 47080502; 491921337; 281257151; 712211500; 194138000; 446610560; 466806950; 398280745; 528890936; 529963202; 108564100; 977755117; 14896639; 227871198; 426826989; 28315943; 647718989; 26664769; 229812168; 308508678; 752697044; 688885593; 785867967; 554309682; 107590168; 792917753; 248691301; 1029172738; 598394893; 372295489; 771692430; 648410153; 417723745; 248368838; 428078177; 385806930; 847543719; 35224977; 170093796; 27379880; 584333073; 173487705; 226083344; 952970062; 463721216; 572904954; 472373497; 433866418; 843352822; 744333040; 542009647; 439550940; 1072139850; 446561096; 970105235; 382205200; 115329732; 474533820; 196979601; 628799104; 610237590; 835039823; 1011149133; 240231604; 309330244; 1061723528; 619770094; 417773607; 176748241; 101688240; 999565893; 105632351; 502353748; 982604666; 546344089; 1035483805; 695178636; 1032132003; 161646221; 347855467; 371797791; 251792476; 935586413; 396916098; 1043871338; 500315013; 765157538; 172741616; 319303360; 704620244; 902675741; 38205273; 63221695; 435507038; 667085677; 412338217; 439352210; 720198383; 215927236; 973589701; 484040540; 1055973420; 220558482; 899965129; 757003456; 947373790; 582594756; 280273299; 867098148; 354091277; 192384658; 745294911; 265518658; 659575230; 593822149; 74667871; 275644845; 78371345; 916829880; 812233516; 504890824; 344159959; 569181521; 739433661; 87870503; 170008562; 747862479; 347319873; 222071152; 696065950; 978950805; 411321895; 505112840; 21680349; 1017467259; 601007089; 891583351; 568786339; 984911768; 223876059; 104710056; 814247722; 84749604; 197411580; 173730253; 217914557; 820987727; 998992439; 49128329; 120725696; 668971077; 82591037; 968034589; 575388177; 1001657349; 591472282; 514223283; 696360132; 641162809; 384499887; 149181924; 985690391; 712946849; 189006992; 898611696; 418304354; 708379904; 455734982; 42649802; 779595922; 822865315; 229025662; 105581809; 399815516; 520727227; 113043350; 418692469; 58796534; 622387168; 306594553; 658387763; 257418169; 355321988; 1652626; 375453869; 476396903; 1014110834; 311592084; 55896101; 500770243; 12810413; 55235543; 756074881; 1001363546; 903147039; 503539529; 311845632; 240655068; 726846012; 768267042; 217253265; 1005929073; 131710409; 979294346; 1008647991; 311596400; 41772217; 666331051; 247913827; 928023939; 231022273; 429899212; 763141674; 138128842; 1071250217; 362203645; 319832036; 108445087; 114152613; 618545185; 104570081; 641575773; 143147925; 148942123; 34396882; 77628294; 998727102; 905088765; 78536600; 256772809; 418342445; 511092481; 314157632; 22289777; 666910906; 417877017; 277254976; 868732277; 349806513; 964199506; 483154043; 969852613; 639585585; 615236220; 454440992; 402820906; 676345669; 907683773; 604958577; 921757518; 897721161; 47297545; 395256657; 14914176; 993962185; 448567602; 269465023; 191205823; 1061969394; 225867676; 917419145; 661725910; 966605477; 502907706; 889526975; 608358761; 1062249845; 121441245; 320530898; 227840783; 831124057; 953204588; 154033484; 604028574; 411486175; 175766724; 916695969; 740860673; 770407926; 105891113; 991586081; 483864712; 708792144; 699368877; 546439859; 791258340; 490246833; 897932984; 962506116; 417825037; 41069042; 221654767; 830888539; 640247969; 536314289; 1056715100; 898398249; 474986504; 305423657; 496719615; 549239164; 1036052958; 325542953; 285770970; 283385879; 915989241; 570831815; 354464748; 944037967; 32043602; 126423048; 998884390; 980552696; 614457239; 201417645; 919897204; 808075293; 258058265; 788522505; 93713620; 904856443; 833659412; 133927044; 1029012088; 938894038; 507348269; 620508776; 116698452; 404999121; 768728301; 71012950; 731679865; 13815878; 496778497; 186339861; 73016795; 210965103; 995279867; 972557562; 678527158; 267025783; 694884611; 985330899; 800243576; 760163013; 88166327; 55116413; 452235591; 788636278; 943294091; 842030854; 297611868; 1001466442; 8493776; 1048078437; 375022460; 592008039; 100811268; 360853224; 554890017; 424890540; 756422559; 105362686; 655535919; 787686554; 490129843; 735720904; 211063508; 240663517; 893989869; 499533857; 652231944; 1054736497; 952262827; 6473619; 520520086; 1023156121; 749386505; 356533569; 540488653; 1060649209; 803287923; 1021124539; 15018809; 1028920864; 268596750; 1055240825; 642224093; 413175066; 11535195; 115206348; 901505004; 569630530; 282265929; 161581492; 172483906; 302841944; 386065125; 21367076; 881019; 1016645456; 1062452627; 574730623; 395374065; 455667547; 34772047; 475830274; 549664187; 540935549; 665422618; 604972596; 862650302; 82871516; 837870529; 805606588; 897254335; 51923620; 496084091; 380988172; 611866683; 182115198; 796796043; 156687596; 220338270; 233428147; 735956255; 748399032; 884249670; 142457314; 940863133; 689599182; 263438924; 566547918; 828361856; 296842056; 637063485; 472090027; 287919856; 429037392; 695446288; 424331869; 424001914; 861790091; 145478034; 13815200; 18666978; 619152807; 900494684; 259504932; 509236970; 870065004; 400936573; 894406674; 544515774; 135211696; 884205143; 239973148; 576734952; 195057186; 901520914; 829438641; 191163319; 423167717; 889798124; 921361179; 908816901; 878827937; 951514114; 397803964; 985217575; 740347000; 175830761; 550794987; 5108145; 52127604; 172306900; 340649480; 209634583; 594049274; 888127926; 114229193; 492530493; 56972469; 611638843; 885401642; 617135735; 571502243; 739497944; 455316037; 630459056; 191608715; 1073613492; 614561348; 470904113; 264578063; 982209; 100703191; 921579315; 415594118; 347676609; 886767590; 524659585; 507979432; 287472333; 360991377; 313967492; 407753836; 986995576; 279335752; 637534073; 739302306; 668406903; 33555951; 520074007; 880447360; 882574143; 411401620; 468535523; 177030165; 111011669; 319036722; 448071182; 731011976; 1014629420; 596299031; 564675356; 545030288; 182973677; 612890011; 837472400; 807826284; 914942265; 982335849; 920654521; 13564154; 1030638889; 938706042; 726824674; 889908233; 386821880; 805910525; 567745314; 320834939; 583695923; 699648326; 421223770; 904559998; 310283147; 664016216; 1001232506; 293145938; 306876512; 672250192; 770530473; 256322371; 425955700; 1000123088; 831859611; 572186679; 116216226; 650099785; 1038267369; 828300580; 784798458; 110611425; 624425558; 619641827; 637540776; 967898034; 502825937; 989986751; 959610789; 722960590; 158173158; 730750871; 340958440; 204937412; 514822531; 297853638; 249008132; 206554730; 542864418; 57894722; 973129859; 1061982826; 304729834; 509615248; 481969479; 484997170; 351757513; 227280069; 229517156; 303287302; 78206782; 424395033; 155976014; 321105065; 883199711; 813880406; 143430086; 155132114; 229069692; 860594855; 37530748; 187202804; 791388650; 1012571330; 737718603; 495144483; 687121951; 485804372; 135399108; 830245496; 90347218; 740342339; 700123065; 792498276; 814543861; 625047990; 767507200; 760833284; 970478092; 71626099; 562685234; 557052768; 1069825871; 641227940; 412242692; 1019507308; 821566502; 506460978; 650079030; 950037672; 791995683; 615395858; 940878239; 964319149; 1041339650; 730894013; 663263353; 439466988; 26833176; 489466092; 938118728; 76046426; 11331226; 230692371; 825379267; 371619246; 210957339; 421164374; 340807523; 815328874; 104888237; 754371280; 427176831; 418995251; 220740671; 37158258; 940980431; 825208877; 602012195; 737793432; 147424128; 815661679; 950212469; 578575013; 293374524; 357813406; 233722123; 88678283; 386759353; 825928064; 787308473; 1041954020; 61808197; 1061595398; 1034040964; 799851765; 721164109; 6250271; 353939827; 471831976; 366367630; 866530819; 417157907; 373304307; 362303491; 1012992686; 351430986; 111184061; 366238857; 107364711; 984092264; 960043947; 305907486; 588056107; 734430560; 708421395; 477639536; 402949983; 17107510; 562712307; 362039365; 699000343; 469894232; 457287131; 892625864; 865511654; 573065856; 126556408; 111164250; 962231273; 946131150; 665921760; 858258077; 994165568; 701923884; 335415763; 229125974; 1037880891; 440358934; 530861649; 574206588; 1018612606; 519555843; 92787441; 860177510; 892431387; 498007265; 569579543; 198532327; 35406816; 586250246; 68004479; 811498061; 701682207; 954425236; 204796075; 79564811; 950285266; 529424605; 163265445; 132510180; 527637934; 1059674323; 234801148; 131759664; 947052884; 576133189; 321927087; 573732365; 238858955; 1000649723; 356591005; 728471745; 697498585; 1053873791; 430626412; 471411500; 930566571; 349196658; 1007987460; 283014775; 711917280; 460446095; 802772396; 655388790; 924447922; 868083229; 268816373; 559582454; 887376075; 1023709732; 462463998; 705157492; 283429775; 777332466; 267217475; 1038895292; 351785380; 939158284; 491533320; 630667169; 919312851; 917183389; 737634330; 695213918; 890571465; 1071539683; 506939653; 251416665; 118815854; 861126396; 11445058; 866218123; 25719497; 214727785; 517914726; 187397387; 377956780; 620718628; 341771692; 1043948813; 563715769; 888127723; 205419139; 541136012; 680498104; 689394362; 478001562; 324437861; 318480137; 283304055; 76137286; 517564086; 273896901; 243786206; 865679713; 796137350; 217152582; 529487638; 585553675; 35993990; 1015568297; 994416425; 545187542; 960126838; 103760286; 834169524; 684851526; 200888436; 822848093; 57489595; 718435450; 215033569; 989668056; 308114179; 964374081; 342244191; 752763674; 10590134; 397534207; 490569497; 632413841; 484583348; 87703301; 1057406133; 469866892; 750108388; 810620630; 740934700; 883001300; 1047504885; 524856487; 357159026; 838669575; 818473098; 888664136; 746916031; 430107037; 227236702; 124307597; 201956069; 890895927; 806099468; 506076803; 440788624; 183025916; 924712800; 283720926; 742535386; 597791955; 134575950; 68052262; 374779405; 177281884; 696428230; 616260233; 369960413; 276446799; 951074587; 830629544; 635035476; 451223422; 870858162; 964651141; 361862380; 696584803; 13549308; 121370842; 715491817; 814536215; 1044765222; 191408506; 885413230; 127169804; 940757831; 207935247; 910602932; 15508102; 10150450; 791905421; 506227845; 674775806; 189204873; 787269387; 700558879; 999792864; 547888304; 620723223; 701685603; 904653311; 431769024; 1017674319; 22112134; 1022141224; 104837284; 15049413; 617787443; 1023996987; 92738164; 58231067; 322925651; 52956419; 1011982190; 726669343; 462246244; 1065405204; 683955664; 292261227; 985028627; 567651243; 55537732; 801961531; 619426744; 520516874; 533279255; 567003406; 1042611085; 903789948; 285229101; 310053119; 868946632; 129926844; 957975813; 109233817; 10659872; 541331375; 811752790; 708800334; 1019039816; 38034690; 414330548; 937583537; 22733317; 370966191; 849316873; 595527852; 746187899; 188619873; 735690510; 586490557; 631765063; 700764485; 905629024; 251672944; 737592828; 351589751; 299712008; 844950460; 334235947; 844809869; 330973950; 850556939; 523104885; 251552212; 153890834; 61313233; 862456674; 722329495; 130056055; 947807861; 509400077; 885697428; 383849715; 816277416; 911612773; 55766664; 423394758; 81681489; 67614646; 702721307; 798650139; 355750454; 418715827; 369411901; 924345213; 41365236; 814354478; 1007780811; 746024764; 644080993; 967160721; 922799745; 518717618; 1027288844; 182798875; 90617537; 990996812; 349071077; 658849761; 934509544; 712473422; 408234468; 366186877; 517864995; 216950903; 937508640; 261970173; 545800583; 921549321; 616200289; 1039849117; 747007420; 493438467; 874520046; 633926451; 1027064223; 210577072; 473013430; 246301339; 376755249; 269542982; 403475017; 920465370; 624694658; 272285150; 295803229; 635943802; 465805811; 877309898; 915330548; 644427429; 506156334; 249558216; 230957553; 1058961269; 942167646; 629659413; 1067302790; 480797845; 218152562; 203998196; 859271945; 928032072; 793472531; 899172241; 467393427; 271598124; 117473077; 530166162; 701239716; 1062667773; 214205463; 831106531; 812050853; 300057695; 385527002; 344100571; 63434934; 84699430; 752363581; 847773124; 435359142; 832736783; 488517768; 23316505; 160092165; 464438084; 697330451; 315038896; 908490526; 985886817; 1043083376; 835844824; 1039121143; 800074556; 163276209; 940879779; 828189807; 183999008; 268257888; 365964232; 232302615; 1051977665; 256511535; 802255596; 864622328; 755141667; 206859890; 506539185; 168378268; 1015779604; 659393145; 393678448; 238481059; 880435153; 411099326; 714777874; 718065787; 36041953; 725900335; 8876698; 885641999; 192510012; 407694664; 854638366; 891387057; 817868695; 395252838; 990683936; 314087857; 256061761; 486699379; 408762425; 750526130; 474638871; 143438282; 893903206; 64428994; 794055137; 418554240; 535291000; 834188635; 560594383; 43263676; 297201311; 924048490; 379177651; 1068949868; 906991353; 418345175; 633775060; 205386128; 1073497268; 379315988; 301879046; 116616979; 47892768; 368449591; 142566565; 660045572; 986393957; 466735247; 273618113; 414711061; 728271164; 670636904; 791431100; 28857317; 140958335; 949323951; 808126261; 648033095; 804165722; 850650263; 764658186; 579118290; 411035505; 646293750; 20354050; 373799209; 260689422; 1060121441; 907483710; 856587406; 861286878; 12951182; 670895551; 545564975; 866526012; 779894411; 861689672; 525410357; 899424225; 140741218; 300330533; 311429120; 89453091; 703331904; 356356176; 321619747; 732049359; 186699872; 679210249; 199329722; 382877066; 265713286; 769991531; 888669951; 676360667; 207878696; 1069185481; 284035530; 674877089; 133903978; 91357547; 572170105; 124449828; 725463733; 760122602; 559234766; 135348687; 198939797; 517360532; 578723656; 354411050; 681384863; 753055190; 203617886; 1016877646; 523737695; 1025273507; 172542748; 953159299; 233178282; 299337893; 41849801; 896501683; 777400523; 612993106; 608993155; 826469789; 707523697; 420384103; 612157841; 55437952; 216165384; 203652027; 513352660; 25112811; 268464852; 361996268; 507926537; 978839464; 385638969; 963157560; 540251832; 592442859; 647935014; 309782729; 502710240; 28208218; 618516000; 275103590; 1042703431; 9103692; 341624243; 292656247; 713456061; 777314551; 334571399; 681137642; 683963139; 542001580; 190362909; 896654910; 486448248; 617609526; 340606847; 445504645; 451364951; 154384933; 338885512; 606839308; 320292799; 21772576; 642372878; 1020342112; 686846589; 66159547; 351118536; 1004960038; 1020570906; 387993027; 361236901; 250875713; 167624953; 55732047; 780650768; 554567317; 192308852; 735935116; 693064820; 334928483; 567710884; 387796412; 1019655115; 495620684; 865366130; 800322164; 951359127; 706766232; 440837025; 669335984; 256452248; 874292018; 707457028; 108676971; 646298247; 927909618; 403363265; 936365828; 231426638; 223348529; 66909719; 90156806; 331392404; 36786810; 103905345; 720710548; 188129198; 225389871; 61917897; 132872115; 894388577; 710919721; 393972698; 818143539; 732270871; 949825838; 579232842; 753090429; 291345633; 1007953777; 5709951; 903518892; 994558759; 1001575711; 352802682; 273654734; 748582817; 1053006850; 815499868; 778985510; 936652861; 47491510; 330624128; 1056827809; 602348998; 714597304; 77099167; 773241473; 401745886; 112157599; 572293466; 633206151; 31419833; 677255520; 771241204; 662725470; 128663830; 374600160; 185161507; 553491857; 222556283; 899206799; 646027792; 264426255; 368144059; 448872288; 279693125; 210442854; 226748568; 149381317; 692471685; 662194140; 954484128; 738693222; 506628046; 876166116; 934984872; 86116071; 344832109; 553524128; 546877665; 899148597; 567324944; 162476253; 547733460; 947011805; 737211421; 825896120; 31614381; 507895404; 478609169; 892563881; 772265566; 601792581; 264284778; 594435783; 1066453775; 305585997; 316681476; 752606850; 925189696; 671738177; 677430298; 8208493; 52851798; 923734391; 375899545; 1037927594; 463407185; 216731138; 1011247345; 348948859; 514295483; 653946067; 538599866; 268793276; 161397817; 6943419; 102053041; 794216207; 803735613; 960674789; 485667697; 485967941; 553025349; 687482590; 645924079; 458573177; 1052402864; 654324127; 755787922; 804523608; 589413428; 414729787; 46650619; 489855360; 846855239; 424028150; 244472163; 396561725; 9625671; 308772741; 273040826; 462429259; 450001864; 61258897; 650647431; 35675679; 972006169; 408118695; 153968794; 756836270; 727103946; 213678; 1028922373; 222603393; 853877021; 260954560; 891116633; 52930667; 988089218; 1040789601; 1066550310; 608702148; 910392761; 258807006; 444238182; 167402927; 898041827; 436244078; 612777065; 396483948; 303994934; 402841125; 333312444; 320193697; 465221093; 173853270; 1027374869; 1052900719; 243708350; 604105165; 744932880; 1071893489; 394841385; 951521159; 651515100; 61199904; 919347822; 1011791414; 993903036; 229516519; 450326539; 832983136; 254546934; 236760198; 814448093; 818281684; 435894343; 22869513; 325751946; 766760795; 799420507; 721888589; 116605321; 486415762; 470732579; 110366196; 686985417; 804647777; 538663095; 611128344; 996802933; 391446162; 103026336; 317835186; 721152806; 588905727; 517554195; 321440806; 195953036; 855234082; 387214444; 41859705; 178867686; 872962745; 705989326; 59948098; 560374669; 688525182; 138000367; 120593388; 547201132; 743264126; 946276814; 763891234; 337705351; 395287381; 275142420; 321906885; 565719395; 474568921; 325770095; 871617103; 903473208; 170766386; 709705731; 243623539; 752997112; 188091343; 501090082; 779128727; 957352927; 451899570; 825699819; 367795754; 492845419; 628042729; 216994801; 757425661; 967164233; 686802083; 149062781; 426854134; 877215458; 995602530; 769071868; 619252273; 1047885019; 866980168; 436845648; 791917984; 28704382; 708190983; 433109087; 956360528; 786920059; 349507537; 520474787; 929159709; 730401554; 609960558; 856759664; 235657527; 340175187; 444104461; 444614; 89298113; 612937803; 189877777; 519045901; 717675791; 617340676; 634116982; 137878622; 709486230; 670782513; 422696042; 399025027; 196432204; 36116312; 348470827; 284483106; 509083315; 172112828; 509633208; 909198744; 370184618; 1046775232; 310703894; 35320277; 79052905; 659450328; 845930685; 130461835; 196973293; 544299659; 495387465; 396961338; 58855955; 671719533; 738696991; 557651526; 526246005; 996356115; 482629300; 1026035502; 445146881; 766683008; 88181820; 307593294; 239085755; 680307744; 597478911; 37088470; 889796772; 966421245; 217817128; 521439771; 798193748; 596447307; 581011786; 551869164; 1011541291; 985557156; 1034552016; 31608244; 633864155; 55704326; 256859810; 975948655; 847765864; 63692315; 649048970; 868317548; 109589949; 873178146; 109856681; 133716444; 239303898; 448803078; 685156047; 471421825; 563502263; 323472150; 124679628; 450138218; 89322997; 22123007; 822636979; 1020084943; 5316146; 866673092; 49908564; 118531654; 879092602; 107671835; 355187121; 979204616; 498402768; 617070327; 33805994; 912006760; 595017109; 736157184; 1050703817; 181308684; 775646566; 820074646; 446020620; 554552894; 378692512; 465590752; 651328273; 153860035; 346993588; 34411540; 174418245; 83976363; 743105165; 509812083; 568781845; 887789581; 345907987; 732796105; 440597132; 79332491; 847566069; 272616085; 1069446518; 548372583; 311797878; 126195454; 43820696; 965916979; 550281845; 243328448; 661992745; 320753605; 923843049; 51496009; 748724533; 366979317; 335634703; 631768942; 632409724; 1060629191; 435959019; 216251240; 372402256; 754776065; 656908608; 691339104; 345627768; 751258064; 839090870; 978581060; 579864366; 478041875; 838881299; 391350294; 300322753; 253333744; 366921761; 186941075; 796655481; 244575344; 84239359; 143197624; 203302131; 720253976; 258494684; 139670354; 380096261; 18859686; 710217360; 12582830; 532917752; 507044909; 288243130; 834892109; 698843575; 18077285; 185851737; 132819523; 243536720; 444557159; 1017028667; 1041565137; 175087411; 62225645; 245155563; 931402133; 435135469; 527848890; 458448742; 205055481; 78662136; 527066411; 1028687867; 72357134; 518607515; 106022162; 359530487; 114259128; 365472120; 146532092; 591883628; 555968721; 816834670; 486935599; 237044136; 512496135; 703781352; 974211312; 233804863; 29788822; 156652970; 976810793; 953238999; 993927935; 345455485; 908582330; 1037556163; 278284879; 750105107; 720465044; 979702615; 993708459; 330459260; 112205753; 861196805; 371495587; 1041580627; 219980186; 123969965; 387040928; 576423536; 591202513; 588806998; 1059340538; 1057525110; 820098870; 1048598880; 318237518; 1008072114; 515742310; 750752613; 825631986; 874782398; 216581089; 933363170; 602875377; 925152826; 989265910; 261971985; 58362849; 464996567; 86546764; 829193381; 833774383; 862544936; 823578060; 477859585; 495066339; 28626892; 486465829; 200717105; 1049348252; 528172723; 860077763; 509892837; 621727908; 199249847; 504667391; 745151601; 779291790; 1026007404; 876324559; 366471353; 571164595; 747898641; 482304549; 968693955; 915032904; 70421600; 427205562; 24810613; 1007709042; 381478590; 329345841; 260117497; 41666489; 25242284; 785503421; 90550725; 904179617; 532249932; 520814463; 138725098; 117860974; 307180506; 981697248; 333482054; 168484275; 603004936; 139288939; 932903462; 526130662; 121958956; 760568397; 440786004; 458526590; 257956450; 337629794; 114708520; 17081526; 145090476; 36963708; 905490004; 584768903; 376982734; 507414754; 731422429; 767582833; 887003470; 822007714; 558949802; 651260547; 515964128; 361838354; 478414883; 789982601; 879345605; 953895218; 569743789; 499582359; 167619996; 605957586; 1058432536; 130731919; 873585911; 682160056; 1032692441; 752399416; 794231008; 590058788; 35115573; 193781275; 465145541; 1046692185; 527782772; 847084915; 524112953; 428852407; 445186390; 98841706; 614361285; 1050117135; 2429062; 805304351; 1022770190; 945764613; 349092267; 102620241; 82863880; 897631311; 771329451; 13500240; 612059976; 520226471; 853057969; 800969587; 472308145; 191212406; 814814826; 748593440; 114668216; 60047403; 309195672; 308926938; 213817940; 1049610688; 173875475; 231476167; 730616591; 409248016; 757236292; 789776728; 1007125173; 917232824; 841627138; 1039323596; 675130180; 610179951; 858187696; 610123791; 447613472; 528556233; 517280810; 435643706; 771149275; 442875603; 643596502; 32003394; 112719109; 696192163; 429362483; 683474514; 330733597; 663876335; 642112126; 741721026; 287673461; 347704030; 568120922; 761927791; 758003976; 145961797; 247119943; 299193722; 351844803; 552907451; 883789718; 176382515; 435828458; 610994719; 387654035; 279107682; 339743475; 335151242; 401146324; 88314649; 933841167; 401564197; 917931862; 311568732; 99437969; 736551172; 497415951; 931197554; 863217449; 436597144; 783259284; 929423383; 70008354; 226068011; 925956012; 160553833; 136564019; 1005655535; 93975072; 154114734; 553820104; 129510450; 318834297; 945439735; 590138685; 767485186; 960379738; 304389297; 62049490; 880162358; 534916255; 183169772; 236117684; 558099188; 965919879; 841935757; 72919022; 19333171; 875741582; 498286486; 671581134; 960613465; 564944790; 556043319; 94157833; 712962344; 429048598; 1011622417; 554839934; 305584544; 177779835; 467452694; 133319254; 486471014; 381966308; 169067762; 26892321; 546970535; 177425762; 628792912; 1001224096; 311119540; 49525135; 1055026030; 1071097549; 688073405; 705726843; 773843235; 406581690; 552249221; 107435491; 701896689; 439392572; 224709329; 432705417; 318213219; 187914560; 1067118288; 313087172; 924035375; 966044039; 598763166; 556724665; 29428051; 353861428; 888555183; 47096316; 402889281; 1026626609; 394431010; 18178313; 665095528; 531239478; 670162770; 350879791; 925651295; 413672513; 114896437; 141579694; 948643945; 22198365; 744935897; 123418423; 1062530350; 844512494; 996727981; 41012307; 585212388; 580340755; 928595736; 324463920; 517839252; 409773870; 764469311; 514713676; 974097332; 365794801; 1045072474; 706182608; 869239505; 763989024; 882903689; 65590607; 490856277; 809211995; 941024426; 413306844; 456348360; 653934304; 229961246; 990307511; 942574692; 197246130; 769004742; 538460434; 190306589; 232930776; 506435009; 962900308; 253113747; 241328541; 659052194; 135375999; 495578820; 414738710; 345199186; 362798060; 114224690; 518306975; 532161613; 989680919; 644967042; 736640998; 197492731; 707960228; 90886427; 165443468; 563554195; 136969634; 197843223; 501793670; 1059520955; 195182691; 219774696; 737389542; 1058165362; 859718844; 800538857; 77318553; 573296449; 807784151; 1032770601; 981303996; 861775031; 579834400; 343361611; 612829326; 900360266; 521905836; 861717072; 234828167; 255938094; 493156368; 634396774; 417624109; 833006996; 751607179; 469811418; 1020725707; 627186268; 944352520; 544241674; 516238911; 500622516; 674884374; 708095426; 360587264; 841856964; 214102711; 548180396; 488240747; 388715009; 654227939; 712818211; 713648734; 480347693; 1063027647; 735755810; 348917331; 10129090; 412152387; 244756246; 405273907; 867635562; 501317455; 21182542; 1000520175; 609775136; 842306775; 529990122; 1038774160; 289302603; 1013116895; 782101980; 470640352; 793599499; 702571915; 660053296; 382107702; 794904657; 242595619; 591848100; 667005728; 172715490; 1010548069; 660100941; 532344073; 234218645; 2024636; 838318949; 855606771; 363573416; 870807333; 768094377; 177727101; 534303511; 955331434; 672632380; 39823844; 717868706; 287419109; 878993065; 882536972; 560338134; 988933863; 932555928; 990234465; 1025475910; 641831340; 748003670; 491088917; 560584838; 642999331; 678024284; 269039202; 492894674; 892989602; 398600037; 174877668; 1063482542; 518898828; 16043738; 690485921; 49265185; 596453109; 409315816; 145496586; 969772854; 557797064; 520075174; 238274226; 822698059; 348091459; 143122459; 982086263; 58202227; 951432202; 291373697; 922978854; 1065714590; 634815106; 414770666; 41212929; 619805040; 513028557; 791697532; 402122467; 554340657; 1002238547; 999364285; 666955712; 677583278; 562887503; 7853206; 826492068; 791522651; 1004419719; 45252276; 570848375; 1005381966; 439745401; 204034804; 811749097; 281206353; 211070179; 498108811; 746994967; 735126251; 628192138; 729674055; 112172476; 254740285; 228352442; 384944418; 539283572; 729545512; 106804494; 980383558; 22294372; 625004747; 71844367; 831487311; 278787366; 165006831; 274263956; 713891414; 511953802; 170207888; 853443993; 340361045; 145791782; 744576545; 58442852; 1031541566; 31252171; 977519543; 274725229; 357889675; 474350733; 1071030893; 877031438; 905907886; 885608543; 881702567; 913450638; 272546788; 844790925; 734261264; 189995061; 909944267; 241646912; 890688094; 70092887; 134539459; 15307036; 415638134; 389746205; 1020803599; 784624010; 419086206; 1039775117; 407865251; 464483546; 917067654; 639381239; 990550355; 845213538; 881862930; 624489947; 226566358; 847500785; 856663770; 44542981; 526616922; 62028048; 416095993; 936864546; 1001015495; 1066420753; 367462547; 891755538; 680063893; 157152617; 933179876; 947641189; 371051004; 619100903; 11599380; 791451433; 470266756; 319291207; 62027380; 866547383; 856241329; 243390522; 443011325; 578493839; 911514325; 329189732; 101942785; 219494799; 46627627; 118181627; 379474718; 866866428; 836172739; 864861448; 495398238; 677438406; 645948493; 1060777182; 933099900; 476450310; 781604468; 863685132; 836868051; 298631583; 865498615; 439557756; 736789699; 683429117; 187996855; 426258349; 818620094; 292136683; 240993326; 738799078; 484223063; 857604158; 700034314; 297668516; 496200178; 584507014; 967191966; 618572417; 890076801; 335199413; 188163293; 739735218; 261935775; 810065486; 650190460; 357240831; 578949319; 901066121; 821060596; 872949617; 574288736; 821295242; 939461213; 103157952; 549997046; 864882731; 962446767; 959284132; 270560419; 234335670; 360313751; 757899965; 122533781; 1049522558; 41315103; 1047804582; 482436448; 553237493; 487416059; 218748479; 817170239; 257328220; 1016197270; 340865632; 209156265; 209890599; 714336340; 248034823; 298770473; 139989479; 234739740; 662052128; 971961627; 568985838; 183329385; 28174520; 374964502; 121555906; 636118517; 504548617; 397292974; 153233385; 366066699; 983187849; 769278937; 710648449; 1054185937; 237381960; 66814175; 558926879; 17738451; 630309935; 234566152; 322801420; 854104334; 101392277; 174335356; 940870185; 1058149341; 506638987; 455472156; 68786958; 991409819; 234506209; 810586965; 24778723; 120516294; 1072971126; 42445253; 900963648; 863762234; 386829174; 500126751; 533344383; 322219896; 620089365; 790961504; 1016356494; 371297185; 148673171; 663051244; 576945049; 821133814; 121098411; 882389114; 240054457; 71586503; 626555915; 149416484; 1906457; 66705116; 990914084; 1052770405; 125616011; 388082362; 590093747; 510748424; 578556007; 601145442; 540300098; 549928571; 95114968; 1033973979; 990607486; 568944977; 349660980; 934277853; 192927404; 234512932; 814479314; 378188804; 1003761341; 395771294; 641056461; 281963186; 31434368; 734598699; 84229859; 245971289; 402463157; 903843478; 956558585; 397325471; 766387584; 690016280; 504211938; 381881879; 770660443; 448150339; 171192586; 625028154; 354220487; 753250514; 883480428; 940310381; 125253293; 215519938; 428247857; 380944702; 206749805; 802557552; 619206757; 225318455; 781400251; 145989314; 47859635; 722180846; 284174511; 283390554; 554691734; 515823561; 595527617; 212506058; 11873011; 655298371; 117774730; 979514193; 204083461; 1037277503; 171382539; 874424631; 842155223; 639117384; 144187393; 966913219; 1024889882; 315391822; 404695343; 699121738; 1001738487; 776898535; 915245538; 854602401; 122729555; 148591049; 115645361; 266519490; 536918828; 914987060; 353528581; 498826152; 377831568; 112158517; 939907062; 269701800; 841414990; 783747571; 1001487174; 876546232; 1037741186; 258812303; 268581941; 809474657; 712342974; 1044205890; 634307670; 393440505; 999278075; 86867558; 489368646; 911764228; 1043572797; 244854269; 517992458; 737958862; 622806535; 991659172; 359169462; 501536257; 282205092; 962687925; 877730902; 1036362924; 697248829; 286766603; 453523464; 901713177; 960228481; 188320995; 669465832; 1060035374; 283511814; 83348059; 291420500; 1066998736; 468378736; 381625569; 1013789483; 805881559; 891717239; 733758748; 229034121; 717126146; 35922207; 570094335; 159939231; 702250442; 672350564; 289547979; 775557736; 455319663; 823537976; 159766019; 457846178; 86782363; 582197704; 774927574; 519441962; 360996761; 743772104; 1019094406; 101213301; 340106240; 832977776; 40596486; 246564681; 672436015; 55548601; 1045222628; 59343796; 958188081; 439158600; 205288394; 639038184; 197663210; 797232705; 915595462; 127626904; 835054060; 188582996; 581991481; 183867259; 176381111; 980922714; 377468347; 881442478; 190898188; 504548457; 348764480; 147426151; 484920395; 763122982; 1070442541; 784188577; 340480861; 106853158; 492037598; 746426587; 914049733; 708317660; 827538940; 483925557; 433818555; 743575899; 311048038; 750400271; 172669763; 319450021; 732570201; 628419490; 126191332; 461108498; 825177849; 164455436; 274069496; 560996886; 930089502; 188713853; 984417283; 1013737951; 816692736; 81501294; 868003845; 422829960; 715564007; 346242918; 128750363; 404550508; 301376125; 740300391; 764315447; 1026333107; 279174230; 405005632; 487857967; 296411743; 970985269; 973138845; 496651485; 687133905; 934081530; 864953949; 525770577; 873433031; 977030739; 250161295; 295840868; 1056866904; 167463138; 18669712; 10188910; 1033923355; 696881764; 458247692; 335952903; 294449318; 174455971; 125967451; 977682363; 809861645; 777982795; 520861346; 855938884; 675895745; 190485969; 619101831; 16633499; 149965408; 217512363; 785435947; 517033243; 715562575; 292442122; 997476657; 284338396; 933018382; 103837634; 431589042; 12984447; 458340640; 433169204; 143594595; 864437074; 665209641; 994148876; 366993850; 1027505788; 714257535; 938753672; 216029073; 875939285; 373340393; 137825429; 846267312; 35976988; 1001831090; 662639952; 306998166; 67668059; 229357883; 690693894; 762413416; 270990903; 385071265; 785338474; 748610110; 833954578; 540853020; 1042597614; 713177514; 697930477; 498411008; 642233624; 768404345; 806111973; 249988756; 568843139; 1026110521; 85518000; 597955754; 73751963; 493997590; 694266664; 894049672; 1040664009; 212436916; 676083850; 891753389; 1050962295; 948267524; 167502671; 655264660; 568931927; 796101050; 37167693; 183870338; 292357336; 1000625002; 52741387; 107602623; 393031909; 131526452; 20710315; 473867425; 186906465; 133898005; 892289404; 301273783; 245739297; 437479633; 817302994; 210902167; 742313427; 1012715063; 563865624; 98495717; 848636810; 710833494; 524062533; 613327353; 22342604; 203696296; 102536643; 708855935; 327930244; 272928202; 505436524; 584941299; 722651870; 139480540; 495578915; 3358033; 97083395; 502157211; 498259289; 263580031; 848563160; 227944094; 496520224; 777459208; 795708647; 467326396; 935953181; 942384873; 410407591; 585131354; 697345944; 201476958; 424697012; 439922749; 16625352; 643883847; 200375433; 62932756; 357066458; 140039869; 620705232; 151142230; 222004989; 205364633; 92498959; 902317962; 835948904; 704987505; 1029887637; 337374101; 263239593; 1013014063; 823766326; 586335278; 926830409; 690876056; 949534592; 190073161; 545438284; 597127482; 915024374; 324557588; 763672703; 1021089983; 939704348; 520846516; 313512106; 365302627; 838419426; 708586540; 368801571; 108580845; 223370584; 860194302; 690990807; 239438910; 80900306; 747489201; 278430365; 1067277596; 722624224; 804022750; 78530601; 513435446; 10200007; 28475852; 337071665; 680468955; 699098268; 514203721; 547710757; 310508869; 887789537; 323385506; 591830173; 325129588; 311145348; 415178383; 25403182; 378240388; 61556051; 384934486; 496455745; 299307351; 357277834; 410428024; 656258311; 67268255; 65869239; 325593524; 312903422; 295816217; 262665277; 550385737; 959534310; 335327899; 390403851; 561629023; 408216457; 937559754; 599611130; 976758653; 681109806; 140375515; 947533402; 59977323; 774487360; 185724611; 365864803; 354876966; 346378329; 617160436; 513464440; 932933832; 351215132; 862766192; 936810733; 254472804; 79036385; 14904713; 87631093; 504135046; 823572809; 456463180; 853562044; 47239504; 874692411; 542446842; 213560162; 225284576; 441696711; 906796247; 100624752; 336024806; 727794286; 629243011; 883364079; 406813429; 134765561; 807911854; 969296190; 167170993; 660879228; 414059241; 80997997; 1067302818; 473246293; 290792557; 584713250; 833056749; 853161734; 629349749; 1044545073; 182574995; 778747183; 487582444; 678193374; 759549411; 671982682; 719214534; 1039943527; 603099797; 925084006; 604083181; 580134513; 77586864; 1050087522; 808164473; 1056517147; 668398237; 186581418; 421780324; 657650617; 11846989; 557054356; 256556659; 555796093; 731802027; 413365314; 373738294; 44249049; 416122929; 439626110; 346085461; 395827429; 928627105; 643795608; 84014809; 937235813; 296099391; 89066110; 689813969; 452346936; 369727587; 360200518; 500134226; 457256168; 628285293; 546900113; 60756432; 690329521; 766270344; 661266850; 252000980; 804282554; 693950548; 802330196; 487314109; 489719522; 810652610; 53908652; 73179364; 869694712; 139744164; 383602725; 555128567; 250100911; 771013112; 1022372374; 902922566; 793023798; 109401808; 38061737; 20136328; 595138197; 394478621; 922017715; 934568783; 586501648; 346319275; 466909879; 282461855; 464531925; 544587887; 616518788; 821809449; 557647869; 473012223; 1061284210; 666892611; 643327053; 891437153; 998436350; 531151955; 373285357; 621377283; 647679718; 299258902; 884287445; 537547621; 978618420; 1035521118; 324144769; 612453257; 296668908; 529021941; 543574088; 996591420; 209916506; 701297261; 1035032048; 642482632; 353358629; 523508545; 105129473; 1013106566; 810806794; 90574319; 661048854; 187159319; 215249757; 749498223; 295767197; 691066030; 502176371; 681761614; 180762960; 14038258; 340328285; 934183479; 310061565; 43162666; 963414191; 11283910; 189253398; 352780670; 872868036; 236056911; 114899544; 682308826; 392476446; 1039969318; 618912154; 370925186; 762704012; 968516383; 84642672; 93744656; 274327621; 878190515; 279569254; 917968336; 258890209; 973132716; 289776706; 247385753; 791893900; 673334998; 75307892; 92799502; 946928349; 612994057; 298355916; 992874387; 842271916; 932141258; 979660951; 528534500; 135037027; 42155363; 231326142; 959968382; 382229632; 1059709150; 335160941; 849951282; 146236132; 436024035; 674571477; 702132001; 691258136; 875049274; 448554781; 1046448653; 476677033; 946668625; 365228356; 290983102; 185460253; 947181772; 175701136; 640474520; 1032239523; 207313120; 594585284; 1033095853; 168481243; 703992886; 762598645; 695184147; 1036049558; 639817758; 275402233; 837636888; 241345968; 584743120; 632668403; 238849951; 325592348; 1013826067; 435264156; 392006593; 185244685; 223062079; 328440723; 245535146; 597359214; 1034287306; 170515944; 769228375; 716320659; 226697776; 788544078; 842930135; 19672966; 10694109; 468848005; 297173146; 605824054; 321943994; 431680304; 330971189; 116265582; 881878231; 813170738; 185316732; 843065569; 355774784; 854057857; 880684038; 627168891; 682703632; 440617031; 296057219; 431700283; 290934826; 597708980; 1005991771; 392560080; 295751397; 78360861; 205580606; 140344795; 126897520; 859875250; 170251128; 518776465; 278732739; 498075448; 75888175; 357956975; 401506499; 105445503; 792766256; 674516776; 1071758181; 564670278; 374647833; 218239360; 348039420; 102498120; 203185557; 8085130; 768719792; 748493913; 181895556; 911128247; 524987855; 501201233; 341001895; 188810130; 1046779824; 728127514; 280562820; 546621976; 1055489588; 610988709; 774481786; 29393994; 379482998; 443617996; 858128850; 308839132; 861731092; 246285695; 673747060; 637404901; 574662418; 803732331; 767369605; 1027221592; 122379421; 346676326; 646469397; 1034312227; 296614850; 957746072; 814247553; 708294744; 673903623; 313041549; 872594715; 548104453; 705886865; 962834396; 246640190; 212771095; 1027631356; 1013678959; 1034126847; 31090701; 79590114; 1036302484; 486435423; 737576076; 114958725; 140012068; 691076073; 299166715; 532310367; 927747552; 378546385; 1056525190; 1046357543; 663554451; 1007503537; 618955330; 145315826; 595668547; 14584379; 647257342; 149292743; 93013992; 954660555; 1023854268; 447418089; 993582889; 46729432; 133709030; 606608000; 785997894; 579487071; 143985453; 42567400; 890021258; 42250529; 596238662; 309589168; 617491589; 98647652; 937735980; 162653371; 870395943; 329841432; 999823842; 735307165; 352616345; 698672775; 139363815; 534374563; 881050534; 325126257; 440589953; 834220550; 489973781; 644005122; 466994345; 711779166; 187981903; 1004636274; 469504294; 207384997; 1008425119; 103647774; 827679106; 703675728; 16271985; 19783121; 658236934; 419794839; 504495338; 189759925; 394136456; 489635763; 993266223; 1014866040; 402667195; 671646512; 19442987; 402671195; 690226437; 676528840; 635360303; 111440711; 676672292; 463295136; 465236610; 32861876; 179427163; 292011693; 955972092; 45494708; 943061005; 743449215; 429999333; 199950875; 916201953; 695205334; 566531662; 807801031; 39546745; 899866365; 845362101; 1003353556; 351924054; 245015031; 1064284806; 262685663; 617455929; 242607889; 959863735; 270692289; 1046036490; 262126580; 394855962; 672786731; 932380693; 611883833; 588659649; 331998316; 66721939; 724267681; 229764204; 797207191; 298477713; 323143986; 111692787; 171225977; 229283979; 700601533; 913975324; 304355958; 662707149; 362333981; 748493588; 948684158; 554787876; 483559747; 534253521; 550958749; 537448634; 336667376; 411885127; 347760370; 1642166; 645888930; 898195198; 10202193; 222987437; 768017188; 969480183; 613789713; 1002461433; 852360693; 247088677; 485276077; 360199562; 331014367; 844690504; 545873137; 423893356; 352070517; 566768109; 759590954; 475246156; 228224763; 436608454; 494384461; 778022725; 467624521; 631225172; 345377616; 875544841; 220350341; 297844902; 996804292; 563959741; 617163343; 672188107; 816155657; 604192064; 683066288; 744653726; 136921719; 721568806; 62764061; 232308501; 427115219; 864460900; 152160492; 596498143; 969727709; 405958025; 735305757; 157781139; 788188997; 919038183; 994099794; 47929200; 533630855; 685141315; 228182236; 630556859; 251714027; 225440753; 1020092903; 539110779; 892407976; 207842984; 700990816; 228181442; 447408475; 872172473; 533057031; 160122506; 617067607; 251906814; 226488213; 786972198; 995103350; 834334841; 541118585; 359870914; 129536851; 238098714; 1069070836; 660784487; 820957609; 489851696; 813916857; 275471568; 419581367; 640016939; 821542778; 1061461813; 307444638; 933601999; 273247186; 146650054; 388790662; 800744321; 863809234; 663694906; 311434634; 100461966; 634080985; 816339555; 544363519; 438456684; 973292374; 630905198; 991946193; 385561938; 432703311; 587831113; 596677024; 177221499; 972508322; 346792413; 306273802; 759708074; 485384456; 869011837; 264401075; 871073853; 741210105; 637119963; 386786045; 666208563; 375895876; 890833767; 960594992; 535917087; 30017811; 169220497; 1015132111; 36630018; 520609395; 1006497592; 628118709; 429047766; 849236320; 530615588; 871591782; 951286158; 579076400; 698631942; 865107507; 580573634; 667629147; 656603606; 956421688; 747443100; 558380552; 1022966204; 674525794; 709977146; 35594977; 515597866; 138180448; 472677120; 586834736; 590186023; 1011531063; 945927928; 440479340; 470669331; 745066246; 342917054; 959291806; 609243355; 542733953; 405846673; 258761261; 478524866; 731918106; 1022409349; 281352482; 93738682; 129148213; 270856430; 415008941; 940474202; 450513127; 579896096; 1072926730; 655893798; 29709750; 424744939; 800157036; 696429244; 767699938; 637205402; 640028771; 197415961; 23886926; 178972405; 198486453; 292464274; 172221854; 611462000; 950010678; 164485804; 292428918; 364642089; 138644266; 577921236; 901258785; 486157525; 870759717; 668805193; 1065201708; 530460236; 708272290; 691524672; 672509837; 677158971; 202250078; 629155785; 419410870; 304396307; 83929076; 276477182; 939132825; 377026374; 408444249; 613289249; 1061927774; 653395874; 836617406; 69332038; 365515403; 706976632; 379160080; 60004002; 725095507; 708364272; 942253062; 48848928; 308310254; 499394477; 238582062; 523189023; 289625877; 898466704; 339217288; 269134621; 351701639; 219824731; 329428681; 554374451; 908079291; 65418392; 350754878; 805176594; 991270464; 44603215; 544032443; 757944708; 237596321; 562672906; 226290714; 783903393; 52585741; 848479697; 88840314; 650146687; 947935065; 935086596; 905865864; 557151919; 172854101; 350086050; 30182649; 823295212; 651917591; 841328020; 701822150; 567911059; 1031118699; 552654199; 960252684; 939347483; 276799750; 922237120; 656427735; 693223465; 432546468; 223352771; 1032949336; 916680660; 1027421922; 839120035; 730906901; 632692257; 549652221; 379709751; 772713520; 77224250; 763762634; 1025307762; 95356996; 308741377; 950341185; 410364226; 103002028; 317255137; 412750205; 783165395; 832050143; 774671530; 368760607; 422352563; 622418350; 434076518; 200445592; 258321147; 282772998; 674241487; 936814733; 654391831; 743212712; 485676651; 739490853; 249619311; 661142553; 990900075; 934162204; 477846113; 773552708; 662199562; 1016085503; 597353591; 718177828; 254801803; 812756205; 390263169; 166960990; 236976600; 232039380; 59402974; 503328433; 866144272; 327967181; 1023814507; 548041580; 459679660; 694341527; 901109555; 185363204; 432513924; 927750337; 644108673; 579310728; 570969370; 110113125; 272295359; 1063534755; 981515344; 451504300; 625711230; 1066322067; 853603117; 209650350; 248686034; 347034080; 1058812347; 369669061; 24054084; 58027942; 746286663; 499102559; 236273504; 749392172; 695955295; 761137632; 952190034; 553056291; 626137406; 386804717; 9799869; 805311084; 243408700; 88875159; 623706710; 866508947; 545394600; 706987457; 279350692; 819929581; 130649118; 225284855; 643065473; 667215431; 234420079; 1031574445; 821902403; 302870176; 79570805; 289737976; 613457535; 1179331; 105917612; 295800242; 664976952; 1033873005; 352229166; 843916676; 180573037; 220313466; 521852348; 121117164; 523831171; 957470446; 20921240; 711742671; 321218226; 40177913; 549705833; 217975180; 1070921212; 633011343; 389203130; 829417148; 229450835; 601846727; 889096473; 88260462; 654871178; 231408603; 286390027; 319962259; 833101747; 785130808; 263619967; 360447961; 99135987; 869001125; 735874953; 849764429; 649321561; 450569951; 447205257; 965951920; 423424122; 63566313; 488916136; 76716692; 145800935; 235640641; 191922402; 828312796; 465477310; 403813725; 207267464; 270019291; 558472642; 454264283; 585326784; 727477590; 715936545; 349812653; 476063592; 358889408; 698239416; 311517919; 18931689; 506415328; 861519674; 527163942; 352303468; 727678833; 712450675; 770895697; 1071196474; 688078737; 19779647; 562650138; 397579975; 44535723; 31086691; 893182903; 405796921; 987597877; 550898; 493567048; 99461824; 562475324; 270906876; 73858544; 532090438; 252317293; 772101708; 6121512; 682042180; 71433295; 39147869; 211854514; 766496707; 1056255823; 340357036; 690938997; 91604934; 441094574; 265263882; 705947536; 399305531; 1020790073; 104002162; 1013779761; 421397763; 708940642; 1003770390; 692423366; 95244510; 653528673; 601653060; 200767591; 552578850; 1055400448; 731183564; 392829617; 376750411; 397003209; 49657197; 676138768; 468864818; 631011100; 152625289; 1036808357; 155268346; 849168814; 569069919; 604629851; 198847957; 707411207; 538052926; 565341671; 495578906; 114299263; 916087784; 75774671; 675396945; 855470434; 314670409; 406647854; 224899702; 742881197; 291046992; 278423622; 143893037; 34316054; 89108500; 473647297; 839835189; 323328052; 356996583; 673021664; 207860016; 212883582; 421872078; 889149400; 487713166; 461975861; 802869047; 346883959; 22795044; 528445961; 276429460; 539559391; 1061014837; 426197203; 578282795; 714486801; 413965912; 817696721; 533017230; 505481383; 713888028; 176760316; 781853227; 84490268; 691002515; 890231590; 706721945; 19602208; 66884193; 968814144; 697681690; 519374064; 1001099631; 329726924; 782807151; 798278637; 527990284; 825619311; 115441957; 623389987; 103176219; 471791590; 599684404; 725053056; 541139559; 1066865314; 705500069; 1056198929; 192132141; 201297771; 987614252; 235652995; 91783307; 140164700; 1016219402; 429190509; 12672240; 780205428; 364855004; 1046404761; 795367535; 457565044; 1004929199; 852790693; 1050848187; 203110765; 905198431; 735644470; 64185082; 417727252; 803071951; 409153987; 375435276; 706481569; 210176129; 216927997; 717964299; 837324449; 396916371; 452614823; 468211785; 996707817; 94527266; 150834701; 1041922772; 373408277; 552693799; 138402620; 155291968; 978415210; 496748744; 897671833; 910465423; 412805476; 644979904; 747306594; 587575357; 68872189; 492353335; 880888863; 805247350; 631990582; 934246028; 963241701; 726394478; 934024139; 951570189; 257995452; 335522467; 134470267; 166976480; 509778767; 202269205; 220587605; 61229489; 286392348; 552272872; 1041700906; 688421364; 108341081; 188185032; 924151804; 197244750; 290709133; 315761304; 822844848; 572123623; 784130764; 288673310; 866704390; 296918342; 3297336; 704567945; 1059250114; 224175823; 911092183; 288741726; 919416467; 479423823; 996692304; 979847227; 1068166597; 588745436; 521906552; 24837440; 279543545; 769340254; 316255627; 966488090; 303193060; 798764473; 529765770; 650541710; 315843579; 7860701; 1065716610; 421335882; 649644681; 150995266; 527990714; 377564707; 38516021; 309138549; 405314554; 802859364; 175637953; 273059721; 456497938; 194035946; 368656532; 975439039; 806792534; 872862110; 204404419; 368475155; 401205784; 191497133; 292281253; 950989016; 411432780; 1009727539; 9094770; 824408025; 692693859; 90758577; 21609506; 399068685; 843651376; 426627207; 717456604; 324776262; 46619002; 551207220; 507869034; 145762518; 317392958; 492012833; 129100262; 110931918; 721481019; 463212862; 1012903380; 1035528822; 310199181; 223957922; 363151537; 964698913; 433702434; 485467536; 250689437; 979929441; 977285816; 468779138; 656353224; 475580460; 330578585; 24692137; 983507352; 6429643; 4949200; 45243449; 9075340; 1050940212; 41162765; 146101114; 723767543; 962130157; 307458832; 75809220; 684604421; 253117675; 421450046; 474866822; 876369736; 104793258; 878307533; 843011320; 694439263; 592744186; 153163221; 915245055; 117590249; 648319016; 447105241; 815246589; 346494747; 321395848; 569349366; 1040131016; 599241843; 364611585; 697823897; 664273852; 61083513; 405280181; 730508243; 500233410; 745964156; 1056426658; 269117275; 133781563; 374750875; 759655317; 864408064; 118505541; 579162513; 1017253439; 334810093; 157787164; 1007782061; 692122082; 898576280; 138519799; 673130013; 375728726; 360751782; 363290850; 1063092576; 877462868; 725757167; 772888493; 181917740; 580721779; 735733153; 613329982; 550837664; 721434252; 842671902; 489139174; 224781286; 390428326; 650028633; 1056598950; 117232889; 554472463; 746915492; 166126698; 888825279; 760603245; 301002333; 356332721; 152222589; 683305334; 1043221957; 440005370; 773366364; 289379459; 58771298; 59509586; 316371162; 737071778; 952453060; 210459663; 846088855; 504907231; 670441583; 974112063; 168425021; 458428874; 537407738; 267570906; 354124572; 56428969; 677950289; 219671165; 1051063208; 645106521; 736227686; 172446310; 1072254959; 486921632; 925207647; 109736280; 487214540; 95216322; 140506181; 481983342; 648357988; 145385632; 640291672; 711257360; 735576511; 1050435635; 740628373; 647266554; 37961854; 995216520; 983183254; 307478067; 292875456; 997792911; 348060900; 1000456002; 417532453; 1041327199; 496534728; 702864868; 1052178981; 539429381; 951044844; 877235351; 591402054; 890386958; 610342354; 327567467; 419419140; 880065188; 459721292; 313339138; 577490827; 844537623; 97273068; 138420305; 448969431; 453110407; 514102497; 520039070; 782928301; 28062291; 623666910; 444295471; 611774826; 735762281; 677066189; 781590564; 803121752; 599870084; 872623371; 662652824; 531591126; 213501393; 288143575; 224772677; 500717860; 730034633; 1061673805; 545796705; 897144069; 617299868; 1002341709; 58604236; 350933791; 476299216; 13617785; 100474881; 250611143; 959950674; 219143977; 759777849; 385822424; 855206339; 985001902; 469138135; 594007190; 574710917; 872510435; 710383164; 718795415; 119620962; 290009704; 774882955; 931688571; 358582141; 869608369; 675742390; 87455039; 1038733600; 523398974; 1035132085; 86737746; 509106778; 32704077; 985665923; 887153417; 330861194; 190813827; 499606585; 382616143; 406188022; 333469443; 961204977; 64186023; 522957473; 751029788; 320692269; 942279046; 200804635; 887912724; 249885364; 894112428; 473724375; 831371005; 850567232; 494937528; 1012328658; 8162059; 83244988; 674737650; 461792853; 986106508; 354352298; 719016801; 1071857335; 964448898; 78274634; 416206136; 827039869; 289680669; 838682344; 806152553; 802028733; 698792702; 24301471; 1028477660; 602745909; 530474821; 842592264; 872838365; 843165287; 254211439; 1069778495; 773190390; 194615347; 982572711; 971450099; 769627508; 68788669; 1071397540; 366039450; 1061172164; 601749751; 147552223; 824870873; 1071438199; 599131463; 756731848; 785881435; 291482621; 277342979; 354837122; 762789310; 993220118; 966723102; 1025296285; 292172039; 549904628; 507607029; 593020900; 25839839; 491536127; 976851479; 1055654465; 336500680; 158827582; 708968760; 219205523; 382386416; 373962838; 282781402; 451560421; 756967794; 424832694; 1033172024; 27316029; 727422851; 903655289; 988447650; 890713166; 291450310; 1031724066; 922086961; 1015163201; 191477912; 28843642; 808410255; 1060928435; 178209232; 1067566958; 34313930; 946707630; 31559698; 943486312; 478651518; 905023951; 930508561; 1069365175; 987086537; 669508215; 498355120; 909421966; 497298080; 416159338; 737784669; 7655972; 326175226; 793295607; 76945502; 629774836; 634145405; 324931087; 282582557; 685970822; 655981515; 135484424; 156042542; 136109483; 540983932; 769469561; 503778930; 732391028; 476411923; 411616428; 536762965; 770315251; 772209462; 669634227; 761184669; 397596335; 592980596; 202649470; 526938351; 1073420000; 415831569; 1039764694; 376133354; 367463058; 821755325; 759439839; 23982179; 905518593; 287477907; 881336349; 249499921; 790735061; 796527892; 659261365; 621895876; 916521705; 494056724; 1062349752; 494877402; 945672489; 849320129; 287313792; 278879592; 926927545; 736105192; 116570334; 390362668; 36046993; 1005224599; 295910819; 502031701; 1063648697; 746220484; 489785558; 211794135; 745618146; 276858231; 836263779; 322852030; 24701510; 301655688; 973593552; 288042950; 691402738; 937318074; 778628613; 937117074; 392979710; 284330286; 184135308; 65334761; 130669271; 437743446; 306513445; 494259843; 760773039; 699292682; 163152787; 411565769; 658566079; 414583506; 305626082; 470125300; 780746684; 315568822; 1046867402; 15023694; 174099582; 551017349; 437627708; 400551198; 327355041; 630129670; 705938889; 44447890; 335489336; 722867503; 476859751; 612474484; 568981512; 127626424; 58630050; 337182432; 768609251; 65447509; 972043841; 525043076; 751047800; 674594214; 280736609; 1045546881; 329873341; 201255005; 843590070; 1049533185; 153062127; 986169262; 973139477; 521007622; 350954493; 707663490; 49355171; 405386696; 85484795; 773985829; 250902900; 242659362; 294620775; 667793376; 138775027; 984434072; 1006182926; 71561003; 654871582; 54383882; 514916628; 793090472; 976113365; 195771156; 757190246; 173889072; 217176700; 787628903; 526588944; 839512912; 833732806; 794642299; 1034855948; 931621634; 631200650; 305386359; 1012708886; 124775312; 228585470; 886064756; 917077596; 620942308; 64433123; 744325788; 809313148; 810401601; 445186805; 507025801; 509353564; 707501895; 872234379; 69046078; 976743723; 437838171; 564294642; 396233277; 915270428; 1059480944; 133196310; 298261535; 684245243; 359807506; 758644363; 853323251; 1033586092; 289359930; 1033086471; 489245335; 267024707; 44231962; 1047500465; 583249440; 1048839807; 411423903; 1071746658; 237551460; 291115750; 288654882; 556445726; 874817483; 288103385; 544549347; 1043295949; 889653167; 879286195; 462747529; 172300655; 426518352; 466327141; 403050227; 68273718; 814549107; 819428178; 615402207; 451539790; 1042703760; 605750018; 277148124; 164726436; 360090660; 148041002; 667736531; 510853898; 700477210; 630454092; 322883750; 667754161; 983847292; 979845244; 631188828; 33094059; 884863993; 166202562; 350907741; 375656604; 866680192; 554530060; 532258140; 780180708; 222271120; 41801519; 765155279; 459436097; 658952090; 432246719; 556263313; 178216999; 529997468; 445356900; 1005654888; 484008774; 914245336; 365948537; 530304193; 887857565; 1002120375; 1043138612; 1023641821; 780401048; 721357057; 709283459; 513725808; 94783309; 625867782; 820816813; 265337711; 78321875; 1035148640; 104378760; 972799238; 150113491; 642625979; 559791802; 644394433; 768297783; 372671375; 454115332; 956210970; 29941344; 1051087366; 248175143; 480294440; 872739702; 129063182; 871406428; 621877315; 768706074; 372477088; 357889547; 896788894; 871385643; 167988341; 21976896; 667921994; 536992140; 517048309; 611087252; 531356257; 949360568; 251006156; 431124543; 174766498; 67684427; 468500256; 838707117; 993608829; 1061295223; 475464812; 542074826; 1061627637; 796709643; 797709964; 246309590; 360447247; 1034894542; 135801897; 1011786113; 1007834369; 106470896; 482126497; 712322109; 268038103; 907130488; 158790274; 620827545; 650708723; 494959470; 590929766; 386139845; 172817717; 487622032; 375924279; 512872676; 444914304; 387324105; 156523845; 49469601; 392733013; 751316475; 766498571; 405761849; 973787545; 335879847; 306523740; 628003215; 769544955; 863863184; 1029506669; 75357970; 854464206; 751004371; 257418653; 688807119; 791225380; 957615525; 351404001; 422150213; 289426213; 720246416; 618324071; 531346939; 696993834; 212975538; 545608129; 922575076; 998763888; 230664078; 958555882; 1022621556; 506765150; 675607237; 503729940; 170552086; 393748725; 786092601; 973176839; 147613275; 808543248; 107678830; 38313230; 109768605; 939266441; 195627545; 183989545; 792035680; 795638864; 366494201; 639703084; 321217086; 290412075; 660595174; 759313918; 133279584; 635329822; 89873524; 373465090; 128860833; 944606841; 961574971; 989288503; 334244237; 694158760; 714497568; 16616701; 805497016; 209484195; 575560409; 186387158; 993386280; 201674749; 659465597; 753140321; 489471574; 862593032; 552805037; 220397047; 759856185; 466369808; 1036917057; 85649665; 1010889685; 492243740; 11984715; 405094951; 813826325; 74936767; 398451480; 47655243; 591675382; 1050157255; 674520691; 750607181; 49326510; 974863558; 357925237; 450485355; 347693470; 548916722; 797535689; 395867724; 650044149; 234048987; 588792060; 729523212; 652694917; 123468756; 126365276; 1063679176; 215811118; 264825144; 683364702; 670762045; 964362470; 240336647; 384707857; 758272159; 144472492; 240631236; 609695308; 810391417; 61618054; 785945851; 373573686; 99530370; 149842343; 1044104286; 274690057; 600725120; 504505035; 227826042; 156356821; 493896990; 14965283; 604566588; 927941987; 162485965; 558261096; 539514856; 54865153; 277359; 28651524; 786792679; 965860838; 177686314; 429034851; 664764714; 762129954; 49000026; 1072226222; 331447216; 694340120; 1039388574; 395367303; 296111424; 790778763; 813181699; 1046486624; 323503815; 592965514; 993083864; 1041570464; 393392301; 533293694; 282355850; 395377183; 114747702; 181556254; 769359447; 1046270245; 660784871; 653154024; 567740522; 497685936; 385748622; 1008124764; 993727075; 36397670; 83968157; 58347144; 290911454; 119837371; 117014486; 1056549431; 789108920; 171190154; 331574358; 28914433; 345663072; 653363190; 1015066101; 1026643466; 231452747; 418219211; 46076432; 1055638562; 98058547; 425220744; 945027091; 1055997107; 947678024; 766852794; 522149784; 985038661; 545366956; 106465930; 237923747; 866208569; 788051147; 660028137; 622213928; 73566670; 96095260; 565703175; 284173109; 516191584; 557634965; 553729235; 101392082; 927490726; 390177182; 528022673; 165396033; 702212271; 404898651; 988132583; 92947432; 157781499; 653537588; 158939338; 717011009; 45290390; 827313415; 587861078; 647867241; 763051576; 263323901; 703093463; 308833312; 168947640; 523215368; 179455721; 1035940518; 400351310; 284176869; 650210093; 964340209; 732873053; 381422740; 552077890; 422499245; 167250163; 933009858; 393388543; 646067540; 157868010; 559076274; 648361330; 1002987487; 389619843; 1016930159; 410462605; 913618561; 887877655; 600760757; 706377851; 838577655; 656626080; 369904490; 32172695; 10344233; 703157446; 499690975; 781573041; 639131882; 78964572; 540158527; 577051560; 150249812; 147366683; 808511083; 106088837; 462012086; 679580202; 146878764; 698174516; 642049131; 1044215035; 858477011; 240005173; 907391285; 348864968; 660169049; 180405553; 1060999093; 95016627; 233778383; 906870242; 1067028239; 321335429; 184390541; 946667399; 51966584; 841239715; 79094146; 123089291; 699562199; 192775788; 284568939; 37526167; 234218695; 110223402; 916171713; 284528996; 796125478; 555538743; 324806374; 1020319136; 501408287; 972332319; 624142477; 183664112; 1048659041; 325639196; 489213002; 756860868; 363475645; 671557011; 187428913; 368323788; 556362726; 1070531996; 606295608; 620181317; 1073081507; 394289896; 406477371; 206761870; 855343078; 341052751; 700493470; 482991867; 269782433; 818917496; 122434126; 95060058; 261893592; 8856039; 463063957; 420786998; 638140544; 1013175389; 116367770; 60785243; 968371137; 557029644; 480339660; 681740638; 257023125; 776825363; 685528620; 391170680; 743713298; 325579872; 1045729872; 673725770; 481804116; 160508956; 198112726; 241986923; 637597705; 908569559; 1033966959; 776870220; 890255062; 398497302; 245173541; 12123384; 340814999; 1027522496; 730521641; 391187768; 926582099; 175253114; 135568295; 59052825; 946226408; 354157364; 62015666; 513815369; 717967864; 1051740017; 44699852; 573773892; 1025556492; 688829954; 653196056; 609857411; 888712763; 512522684; 375568658; 876095151; 127161703; 1048683120; 966144092; 597182691; 351923479; 158699546; 452320237; 276625634; 229221944; 822518140; 122637756; 259083325; 671272454; 18810454; 45922660; 75887761; 136070596; 354113298; 687650207; 84826595; 85478956; 626732277; 559909038; 613667178; 602105316; 351649628; 681929034; 997177345; 436898485; 516821974; 847005496; 1034656019; 230957410; 312819889; 221942178; 1014775062; 60374246; 991963310; 271706280; 253420161; 996847256; 624207110; 141068919; 493796824; 782282492; 558526476; 169447955; 989879619; 856018792; 444205826; 632569695; 220368337; 848663297; 119486864; 854672225; 817773198; 423347643; 21427267; 707075555; 916525242; 550342160; 590426269; 137376259; 590761398; 34967286; 467770504; 1057780846; 988391001; 837501353; 502443230; 1036225089; 1054882759; 869413935; 366671061; 445895626; 404511242; 518746138; 775349376; 361329649; 557965776; 764661823; 691941379; 981049357; 239096518; 328576452; 568514317; 389094047; 761898915; 800161484; 501364090; 999865280; 466812718; 766243211; 719877726; 394539048; 664981155; 808030944; 474322850; 958711165; 107253653; 853806253; 965681843; 913264682; 205222565; 929503229; 920466719; 279268962; 805218775; 19748334; 19297944; 258820200; 411027243; 46273567; 634155555; 359633494; 451516370; 902265520; 830992759; 400724997; 516573560; 430561741; 1056996146; 697463127; 711963407; 482272253; 900795944; 788567586; 648998287; 148505451; 983418148; 94748554; 398279046; 466619153; 492725799; 39125676; 186050900; 237666059; 1014716368; 599144842; 975116067; 610004695; 929272648; 780597221; 244900869; 286328828; 302371632; 526068395; 462761636; 780160169; 316045527; 193797697; 574724439; 698578907; 901734391; 97085363; 177683426; 413643512; 832876567; 992910095; 1064107604; 52501168; 312652038; 195811535; 575250493; 711240778; 980169258; 930682796; 323272262; 203350023; 789604357; 906205014; 472828735; 143010010; 1043588042; 160611474; 942661957; 370352669; 40780776; 1020696566; 415285320; 594752093; 667820752; 110502726; 859551392; 667191032; 1039090954; 460448299; 672679948; 453291879; 246789337; 130066128; 854054862; 98458305; 427776901; 106590416; 757830317; 769766432; 106429512; 719027697; 26806570; 612678863; 405435997; 437707113; 705354193; 766613702; 1059555569; 716825301; 356363753; 697028191; 19131023; 704342114; 824214412; 934252121; 957662982; 1000582358; 262648178; 476032113; 461125560; 79799433; 116072818; 914530546; 76423872; 12669086; 222889781; 777164999; 274239238; 888513945; 650754902; 224552974; 180485507; 211654679; 364353993; 532948956; 868819278; 804597171; 413383419; 993143458; 759778300; 939147369; 129221116; 644084770; 407015269; 196193811; 323473782; 403929373; 440277597; 359023306; 157098751; 787139433; 980897514; 27925570; 863001321; 170691854; 62661089; 843258248; 942610592; 854949404; 607174038; 986481877; 772472308; 38729760; 754745793; 735450522; 854538670; 94714841; 207886521; 220199898; 278835373; 388662089; 736308184; 456765908; 615082729; 43557179; 138612027; 185247026; 517580882; 621955262; 574531327; 193648769; 366288477; 504941343; 639708711; 327414724; 315305269; 952692333; 361769757; 876382334; 498857130; 551514461; 579017452; 418929631; 429307472; 1056257810; 881090972; 323794193; 15537467; 424764521; 30882959; 308934173; 384267111; 668560297; 926145399; 817660400; 1030968615; 1013103677; 1042847991; 1005641561; 1066214376; 648565208; 328664857; 807468311; 567372391; 162454723; 835744088; 870503040; 662380326; 687628804; 390769339; 25839886; 251792753; 782868496; 4194620; 914357466; 158687861; 1006908936; 148423318; 752033054; 562523963; 766826682; 603901557; 819502870; 457978402; 153173051; 98172360; 352160780; 241899323; 448700600; 593483697; 855788193; 960062751; 398023738; 464647476; 321213624; 687552282; 729408818; 467911293; 373205714; 900002376; 557581333; 923689844; 479014946; 739799918; 77877300; 668997586; 842161210; 21006279; 503508141; 1046492336; 396290926; 603187347; 378441018; 1050492466; 1054433731; 608365133; 1061841390; 672307563; 441761783; 397272227; 404416106; 52346589; 789034684; 671684012; 621838034; 948426681; 973122955; 815453213; 324757240; 910758272; 902883387; 155447924; 666267747; 748750512; 704383401; 260887588; 419690680; 586340660; 544038202; 472762595; 58493129; 1072360756; 572832591; 487213984; 135074434; 435827014; 56860169; 434936572; 59295335; 841598179; 966640035; 875744494; 624066039; 1060481117; 11033269; 132755018; 675353022; 517275161; 940358954; 987662302; 70888975; 539374801; 694211579; 39873086; 1014816193; 564382769; 735795061; 223168785; 858869617; 222543519; 1016032819; 816325901; 863502486; 627481701; 607633317; 842170363; 701808197; 144561820; 476634500; 1009676001; 345751854; 226681539; 70779657; 245021646; 277136792; 680192221; 852413797; 969519391; 504322132; 383445618; 323312171; 450918906; 902568678; 3412578; 154083062; 858156074; 297393930; 477881262; 507242939; 674240081; 1001187799; 580817010; 215299825; 244884731; 474855081; 594593574; 13034087; 80216487; 628550116; 439689936; 681733542; 964907143; 1029397356; 328029163; 354762016; 60490973; 1050290952; 929897310; 441297381; 895139589; 911881730; 418199602; 993821105; 531035405; 766937474; 734165616; 349862867; 798402866; 448591489; 278877416; 208691989; 802860949; 91315457; 990814301; 978125540; 402280194; 375053996; 40110488; 70410409; 1003180602; 20229205; 321948085; 131245596; 1012471625; 658531753; 608737756; 1050909335; 578955787; 938503882; 297403948; 906023513; 295198539; 954275790; 811485478; 135431600; 571865654; 336692571; 638333983; 210316260; 516372137; 886961933; 578662012; 336248401; 49418259; 485958037; 563868912; 905748197; 3354494; 200873440; 421677526; 395318803; 903710910; 763151691; 1069821053; 671067968; 583471267; 430892460; 56356163; 886495276; 920621072; 1044362894; 765034030; 930452640; 973490298; 971430786; 1026438141; 394249489; 110928591; 687050458; 233925558; 130351555; 1023231274; 366783843; 685729776; 659364532; 681263922; 122071610; 622379146; 821649234; 625972769; 283277544; 115256949; 950212374; 651209182; 288709174; 781681273; 488608971; 201027751; 447822294; 268381982; 526059117; 721812051; 427745538; 203824500; 349091517; 576620541; 215507885; 662717062; 398630594; 604710607; 186655451; 100849238; 769846391; 768849713; 625137975; 258311775; 217359999; 2634271; 141239196; 317559563; 668322764; 908586762; 51290015; 887781686; 302996143; 626495237; 903035563; 648883716; 373785491; 814055648; 648765987; 953006174; 148252071; 562915110; 293231695; 819532255; 857841780; 588156067; 1053685667; 1052929538; 920300752; 980602117; 774437395; 715251263; 284538758; 880240271; 987817403; 426780667; 558555542; 426071041; 530686071; 218753910; 609926015; 369097867; 676843750; 1003846983; 207640039; 324589760; 763271331; 572296431; 746126476; 107766417; 271499292; 744589802; 973879768; 133293314; 248454801; 733193117; 920654166; 1057851599; 137989071; 736741875; 868825429; 767348878; 215171965; 641378799; 211633136; 603074503; 603468218; 1061367122; 935657608; 1032256010; 691301070; 783706628; 753278144; 663295839; 600416014; 168054142; 1056430853; 873685813; 554145803; 303450153; 657154950; 501293985; 348989774; 701477244; 1009286773; 1003096963; 1006336858; 1036700017; 695992276; 1059520729; 793366779; 913396729; 788719709; 609395669; 1008785156; 505088217; 791318612; 529171009; 535555725; 1056211434; 605683050; 399551132; 223455111; 547469872; 553787384; 304478209; 768807152; 115215151; 946962822; 226242285; 605244235; 195823882; 505739395; 782755650; 788702892; 399745421; 59483206; 940384491; 444908857; 145051906; 832608258; 112412642; 399649644; 55943218; 546001590; 212543897; 173898882; 393416699; 96631157; 579471477; 993302867; 866969936; 483477883; 509932214; 916930648; 621593912; 520079183; 1046083449; 747019886; 48569127; 615132268; 957690502; 951846813; 271169136; 883316358; 611500513; 392785870; 547778473; 681913720; 957287180; 264088875; 13973744; 351032094; 136847195; 259688823; 991117327; 745974782; 248980413; 287299267; 452313893; 951299510; 892612571; 450965162; 760496251; 676761550; 450064928; 547987125; 424736175; 315866258; 968696662; 509222452; 658257722; 445562190; 969707666; 536297874; 234694584; 778368252; 568237522; 490651301; 323986779; 349936040; 715442236; 890611050; 560109323; 859588167; 868543241; 322049828; 719705307; 119929050; 883289224; 249031123; 596000595; 638256876; 31102862; 611004829; 638376999; 419410186; 216248196; 465058266; 209072450; 820378730; 409216350; 687749829; 454193206; 219549330; 877728114; 210811704; 951383443; 226689115; 707628959; 269032177; 760270724; 834019569; 376240925; 352390648; 312712430; 524215253; 1032956768; 755368622; 1010432979; 1071297302; 166388358; 67908831; 109823801; 1041227510; 257019178; 39656287; 30206578; 467680374; 14148673; 373485916; 691338793; 212611619; 142937296; 4054323; 694523625; 523609218; 810981424; 329561165; 114319077; 960648354; 27528514; 377540538; 36133194; 272316585; 92654024; 652306535; 381659749; 141671207; 1029263952; 393052162; 40851118; 25858373; 978050332; 703871468; 720844074; 835447628; 133517904; 141816310; 205341396; 468128947; 966177040; 484910941; 124429452; 393781102; 520946505; 343027041; 356887726; 3652115; 821569412; 547420035; 412648219; 327919916; 30378186; 700186961; 745601908; 541895634; 1039264370; 1007019540; 454504685; 945866946; 678420160; 137514039; 240762396; 199010879; 763250272; 166084008; 380180939; 422397292; 979904649; 13932844; 457258430; 810598054; 553684730; 72397475; 937239573; 881363002; 1004090646; 93395875; 36388804; 432205071; 46088980; 906358672; 798077201; 90851984; 53593985; 919904131; 992561424; 777705730; 189575925; 672934262; 317062909; 1022249981; 216101784; 491456119; 935871446; 307473292; 12341602; 74672450; 773563330; 255476441; 474186537; 436671677; 297480945; 995589444; 795341409; 356035500; 439822791; 104824943; 53356251; 912231291; 719446980; 1034424025; 772945553; 36479254; 461420969; 708899667; 317277356; 708863412; 253334870; 194248398; 161065722; 350683048; 616671007; 247268220; 986916709; 279165508; 187882638; 599454887; 843428720; 283793613; 895491252; 83985203; 957962584; 638582999; 33697799; 652058749; 529511983; 280741525; 581843624; 364618563; 929650319; 602496037; 96553858; 964120113; 1056194582; 397905241; 578875908; 441879460; 255348481; 190585888; 762950883; 350626196; 462196721; 462007894; 929230889; 960434693; 537776854; 365688234; 253563600; 833141427; 874485123; 647895388; 152680997; 506075115; 636953290; 98602764; 388894565; 881634748; 623890951; 318518848; 336493321; 48846063; 1057863704; 995230074; 417836685; 65905236; 651267451; 356842477; 1001383351; 475685507; 773613093; 230202582; 760153816; 678646311; 55398032; 395652699; 386224585; 705085624; 725245479; 88852872; 560251904; 757156083; 282236400; 481915155; 477265857; 577106386; 467478127; 968452978; 465355425; 297778436; 1024386969; 547136534; 312757950; 1022325502; 617582260; 246299172; 1061333578; 860289569; 716660842; 190696670; 67427698; 927102472; 588196392; 1045825950; 387147463; 211344997; 821456110; 171144075; 1065294734; 1043598477; 56432794; 299151055; 193831893; 286210478; 487504200; 133100978; 675261960; 276195798; 427069361; 673691968; 1002014231; 1058588134; 671999225; 292450643; 785289018; 1058002120; 506827448; 463731574; 1051045260; 373537479; 283437275; 910615783; 998038094; 952603223; 286468094; 176525937; 970703129; 990957130; 68741921; 992003421; 897558196; 650778542; 408095761; 806044688; 659941857; 997489692; 531409865; 537412708; 277409959; 188475851; 432545337; 625021841; 793997049; 927788136; 682550244; 76584758; 1014525763; 972764681; 829190789; 869433592; 768720913; 784005630; 699949948; 181316990; 440856586; 791947203; 317190916; 1072763133; 856099278; 705720093; 891952834; 444261332; 1041605346; 735736676; 880994408; 701686392; 130464471; 369931362; 917551959; 924214282; 719008478; 820463058; 364864726; 6312073; 318027842; 790789968; 529964238; 37703711; 659042312; 235610381; 170146500; 448812472; 201371143; 1002040980; 165492816; 13191563; 824264905; 82253964; 528030183; 846576095; 248441313; 1016965080; 432047406; 294262837; 583079100; 720248572; 358274692; 805399140; 83564288; 544377612; 693213636; 990705904; 595194926; 542596899; 762480286; 913446345; 482312069; 704205892; 973428962; 425141932; 90451565; 701812925; 693707766; 962940006; 973652588; 253789612; 700824805; 268272161; 159136506; 262683786; 252316329; 167135997; 618312234; 396859123; 947164553; 837165469; 175643955; 144771654; 410687363; 141740120; 593902546; 463278629; 338044436; 751233284; 801517470; 869137336; 119472338; 94072352; 61270763; 809096997; 521363144; 269320960; 404266268; 990552439; 184013685; 604824767; 722684313; 477398915; 114393899; 314713583; 368458293; 996837270; 808475383; 1008647774; 674905850; 685311856; 923186536; 47038586; 609211079; 68507465; 918291687; 828817926; 1027902871; 547578625; 774687138; 35799835; 919949446; 925442411; 687256225; 200169711; 1021365897; 932147694; 87702236; 957972228; 168177339; 556271675; 56173277; 997833289; 966601475; 936581635; 541808507; 727684315; 1011052139; 74318483; 194473920; 508279159; 776129091; 331118001; 339018290; 57398123; 479815813; 351799394; 578629997; 665124306; 109153670; 656971642; 1056668552; 721547595; 995867566; 917089517; 1073241125; 65667293; 401531104; 149804835; 901444060; 41014764; 7153852; 165514513; 442028200; 324132556; 218339178; 771930918; 96182307; 1063716260; 964941820; 563213477; 189035621; 585554255; 103275717; 27121436; 344246548; 938808903; 595858743; 727195033; 621700208; 372930743; 818208599; 952081503; 764854459; 963474067; 431002410; 1008741421; 498012008; 508034248; 897369140; 866782296; 831277410; 39582784; 836582063; 99310161; 525165700; 1034507197; 956279692; 900550150; 604976993; 102238952; 406370944; 247098819; 619573740; 854530113; 583395644; 893570490; 454115987; 774579677; 1005722858; 48545770; 780542546; 316111497; 467657237; 409636412; 63254475; 160724980; 751006581; 536691682; 930837646; 994763133; 420150245; 266164023; 343824923; 730410540; 158654831; 915572568; 731757687; 948350121; 993408523; 1056284792; 1014107441; 193027444; 910757232; 775146597; 746260088; 891712901; 467385231; 347268217; 794738458; 645688746; 952137672; 26078474; 951003596; 137028272; 1068332837; 733505770; 787123302; 922207431; 63965388; 111016183; 463539414; 640985537; 739811207; 402700665; 593885895; 252461530; 602181271; 481271870; 1027956573; 988956817; 984973739; 557106836; 713342548; 73569304; 313684163; 336713812; 674596012; 610679089; 982585652; 440175769; 517868908; 944926286; 1067721864; 952028962; 330096344; 450700243; 831374208; 99609500; 31292771; 547923537; 1073179124; 522911512; 866970824; 419105679; 186918206; 181133617; 165875986; 1032858273; 38369527; 74748103; 1040910176; 500780859; 374885852; 918408639; 82634319; 39822564; 784529125; 392759055; 529711189; 670960169; 971757319; 204530441; 464191947; 1030230483; 484412170; 595036546; 938087085; 1056830924; 918095812; 748911929; 727281502; 255766629; 648526905; 858748775; 393988214; 781585400; 12477342; 308810723; 916896385; 582143345; 816967772; 154001728; 99037848; 275856402; 157105473; 74789769; 347768569; 103231902; 862151312; 1002990748; 703825164; 94909502; 389997359; 166124994; 1041600260; 245770485; 946365655; 263716248; 289491086; 502532476; 748990288; 198721879; 1063781428; 885750166; 13791399; 202096917; 785189339; 712657299; 328444453; 611350581; 102252583; 578359267; 239771203; 881581801; 163839589; 858318779; 753821506; 194674362; 350532910; 25632917; 815072709; 808244509; 540719734; 727646580; 583436588; 776804600; 940168159; 12297195; 523850813; 823403328; 506683070; 630741332; 517238657; 704217759; 1068715244; 700010520; 119105843; 686527943; 908415298; 882504453; 126874030; 968997706; 616031282; 602733726; 256406479; 232132628; 459746971; 666777570; 41836068; 164430620; 97893780; 693604933; 934749332; 414850649; 559310380; 603805314; 827291321; 348365498; 283005537; 497008863; 673062849; 646752211; 850210220; 613465170; 504666620; 390577325; 1024087706; 952890752; 197975453; 638224221; 7959005; 281989903; 1009947582; 1156979; 835532848; 479119056; 954358713; 66347095; 286206151; 632310503; 1014582373; 214823749; 349065663; 457726267; 413724386; 321370099; 503308536; 454572529; 35126187; 566072889; 946903421; 608124774; 677060998; 125578890; 715453132; 796494864; 999468375; 888251466; 348108357; 724477719; 830645169; 530784941; 739712507; 397139771; 1045183622; 683399654; 479400830; 895869601; 464170184; 355604616; 834271580; 665042659; 278012719; 853223827; 316845393; 108579424; 273707257; 162093936; 595482314; 147404714; 403644056; 448494769; 362523379; 1043321392; 51381997; 829295444; 518124554; 303008317; 884922290; 133893855; 667975279; 1047440485; 199120102; 164118226; 774976759; 82944720; 773831925; 938290481; 823914464; 552236310; 216341074; 726753244; 400329097; 1062556165; 639389971; 679259821; 1044269217; 296155739; 536170166; 76444382; 622946978; 260062135; 71126181; 286934145; 988856083; 748634199; 615936568; 457370989; 73502340; 629943064; 240207201; 850691015; 292340837; 256772149; 230640256; 942598780; 850081069; 690263058; 600102355; 721407700; 329907686; 1060791103; 161074008; 347527738; 291417957; 803949801; 961176552; 31105281; 662029936; 718571913; 687365277; 296228815; 27522038; 187236121; 382637741; 1059116164; 1062701886; 904098809; 359667830; 198198915; 572102672; 1052199967; 82145845; 690980003; 641963813; 687712355; 928093064; 564263306; 976449394; 247009113; 203983154; 1030480633; 1062976227; 915431276; 718307367; 324777419; 389290564; 125718001; 651044069; 972747668; 918941613; 922603132; 137394286; 488637031; 478505176; 498082625; 736656245; 477020414; 889858873; 968397022; 326009541; 654722642; 331603028; 338036046; 1040402322; 641201389; 503867002; 534356169; 702029404; 202508497; 942823323; 47514368; 601558477; 965360436; 464534668; 90656240; 1060547033; 505065120; 33543891; 129229214; 384171464; 546693065; 203349933; 178912143; 311497652; 361891966; 147473512; 919117443; 548024807; 299595474; 885260443; 380631133; 725811800; 473744269; 257406034; 740932590; 279245708; 1023828840; 1029027862; 590753210; 545578394; 191131551; 1018999398; 298176914; 879696339; 18891345; 164693111; 123084648; 1064151450; 352478363; 829144491; 638818591; 279440523; 446453780; 437004176; 75777454; 339023170; 453480987; 65732395; 376930466; 815468383; 638508265; 673698667; 562881997; 425756192; 400038025; 1041558564; 246767624; 964193251; 490229150; 937937879; 68980845; 1058463817; 276460003; 201306288; 591220130; 331744104; 10898608; 229360999; 541461872; 440519003; 9999731; 667751544; 858295922; 947185794; 278415474; 63341097; 262698610; 116404771; 29744975; 315295391; 198453454; 88294904; 735202928; 14845818; 897679005; 53741131; 255051438; 356101510; 100749951; 222256011; 343725341; 168153684; 526476409; 81220526; 313164529; 720245524; 141423371; 902766838; 55034459; 427929580; 683867093; 520148355; 528602880; 538637838; 866984234; 167564780; 377310585; 22611864; 523760047; 833379402; 548975571; 498297077; 497104076; 739297135; 631607576; 909262614; 392398653; 654188186; 515757720; 1055146048; 477135914; 608198375; 503757607; 276578854; 570923174; 498950838; 137462457; 6172181; 350331031; 724423575; 68927942; 84275972; 66976216; 920619746; 67829826; 821038076; 1022400369; 40335544; 349239857; 287416697; 90488091; 472133042; 634651541; 875256487; 914760976; 1032277766; 755192512; 117565804; 322322360; 168046681; 285959870; 396314640; 641021796; 877437853; 359113422; 848629137; 976876406; 293897073; 379633553; 973165564; 621123543; 384608919; 972629645; 261089646; 354903038; 1058937980; 278063243; 158895192; 462582471; 1044913448; 210451296; 334888496; 703307964; 601917227; 359899988; 929718636; 630146029; 443404639; 585038029; 777103296; 548569334; 1021938240; 602837158; 997754519; 115392956; 179214992; 267717119; 1020736235; 468011688; 809897932; 1045642286; 883128454; 1061748687; 454658354; 741373791; 657391296; 210349859; 599493907; 402458823; 787311639; 463646879; 615782914; 73458477; 638298708; 914346647; 704019366; 18487879; 1062988159; 542022750; 763748841; 307477809; 1053609849; 834229494; 190543688; 268828186; 397193862; 66476536; 714658234; 898182954; 439033336; 1069094230; 344485607; 625350761; 495596066; 1011835322; 404248828; 681712404; 913673237; 931481616; 933212432; 792355828; 235620565; 781122021; 571586356; 996694974; 67076135; 613964622; 464520975; 575404780; 325094199; 817858384; 918973848; 646919862; 707536896; 631849431; 336485428; 645349682; 667503542; 512772469; 489505520; 471059916; 389504549; 469975008; 227953632; 359442588; 1048168906; 1045413070; 667513690; 808488990; 809084375; 809192032; 849911232; 303406909; 609323635; 870746341; 298715960; 28491416; 241108613; 667437080; 39213427; 720921095; 504129749; 628299738; 866140749; 938174088; 839069808; 968018277; 433625213; 404599986; 275119364; 771619883; 17290374; 778868483; 543216144; 275485569; 260720545; 144017768; 458709789; 98270932; 849671837; 1067058678; 185568001; 895196312; 620763188; 547725892; 921273851; 385805196; 473896402; 528638706; 772044538; 948588708; 34736169; 100617282; 826083845; 380542806; 851478945; 648290338; 186269437; 148525213; 170361589; 364581345; 988743021; 437503778; 605954388; 514146427; 938793986; 255489522; 451570456; 721169141; 99978576; 510179466; 88199620; 546124425; 322000840; 195883075; 1003188580; 643774513; 63870450; 502771217; 714754292; 321854980; 154885541; 496448707; 205957977; 587599044; 403359658; 561272910; 547065029; 137774961; 704190044; 590393972; 636183855; 619360435; 982668602; 878357135; 174889966; 666847996; 687317793; 167128769; 382131102; 132460422; 656613560; 329061270; 368063984; 864046037; 20686911; 722332641; 238934468; 941782214; 5702201; 130458368; 519255708; 940288820; 101213123; 80232667; 1044049262; 265344871; 887158260; 672695349; 1012302590; 539568106; 234215400; 38760868; 867333761; 501376231; 690418828; 733462080; 44206116; 535703583; 813204019; 369650671; 474941230; 214431136; 506561767; 283209978; 93521280; 447737825; 116191834; 76413161; 1023700467; 678871316; 1070193334; 792516493; 434342722; 343447998; 817775072; 397494707; 84049259; 748607691; 656010899; 790249699; 182805269; 235691034; 303304140; 650992129; 495799425; 438897066; 115020285; 966669022; 77723245; 899097561; 686918284; 740363501; 84997806; 422128049; 211298951; 183852880; 1068451129; 42975054; 450518439; 524382076; 323645157; 248974536; 296486496; 784717282; 732532947; 278448869; 891831058; 304004296; 25886857; 89008150; 955473710; 1024353424; 999081718; 221499548; 141697504; 477951898; 466275737; 299313145; 746222166; 538811996; 738168355; 998050873; 242333083; 939435558; 354334001; 360105025; 3980180; 528435356; 970154083; 124387424; 555112813; 959062420; 1035812666; 144093352; 683765048; 632058777; 731846094; 452153421; 558920543; 14138557; 98771551; 806715054; 895923853; 633634426; 260442917; 179946131; 900538699; 1018856996; 677812843; 457006073; 136762774; 237784879; 1036754456; 997516754; 300525197; 888821641; 897180876; 540249759; 824099723; 179567534; 671536772; 37623459; 1000798821; 425937471; 407285906; 72177512; 986100609; 400422590; 289256424; 673543213; 508884442; 255720063; 825542274; 684108020; 86101286; 812224887; 375248328; 516950006; 158110202; 340208063; 232410009; 1021238871; 273188095; 814909185; 268486650; 479107211; 267869441; 855361232; 1008229061; 684224829; 107556640; 11604426; 143500112; 518248254; 326639280; 373122152; 931926597; 636705415; 445921080; 602264225; 25457303; 282260746; 512542361; 706461056; 731057491; 592352932; 16312212; 483474028; 287503347; 876031176; 962156149; 261006551; 466346159; 275504689; 612855055; 1032585431; 324721162; 697683009; 927126600; 301319058; 1033429394; 247028507; 742564693; 957901019; 987320598; 567668764; 875530640; 725950323; 547119878; 239161756; 976495813; 248757460; 234884608; 273322301; 131486786; 709772862; 258757776; 662492941; 27101251; 975546170; 770040803; 432516134; 978213325; 67581929; 1000593258; 1037319446; 411367293; 487352672; 330338390; 1057909799; 708843196; 715191165; 981159736; 230254575; 823052608; 79520988; 187472875; 868614605; 363850330; 1040403713; 251994035; 677148167; 229594183; 248026879; 127739151; 514200419; 231304528; 382478714; 1064098108; 698439122; 949996778; 1038783602; 882596180; 749811040; 445022286; 536153455; 413704992; 594834912; 928312849; 535623605; 655479819; 213405513; 904731893; 1044588377; 13061005; 239639898; 981786135; 212439099; 1038915069; 926311882; 1053537908; 391597097; 988652264; 242985355; 975277897; 969363899; 506324024; 518584315; 1046933233; 434506661; 1406417; 706730950; 580804960; 351933722; 715921276; 103477817; 130298690; 400163534; 973986833; 1054678632; 878937331; 530088371; 237916728; 682746273; 228608058; 391089027; 219203340; 406934266; 249097431; 827314157; 99559033; 417708780; 309131890; 47646438; 562991628; 647910421; 84405953; 797553443; 784970648; 1041276377; 263730175; 1005158414; 254582143; 466164469; 660041074; 515846039; 320785080; 289801029; 244327807; 980837240; 435646472; 881737672; 213385701; 1036616640; 890790561; 270803522; 1006557815; 7746393; 169105190; 186288292; 258310904; 264980904; 194242794; 846202048; 264128144; 870554886; 899428591; 58657069; 656320716; 432567273; 368187262; 1022953939; 497303536; 784109714; 951399657; 948179189; 612098445; 948268451; 340907093; 642197153; 261777471; 425116439; 198325002; 681671606; 157795737; 693411885; 679635626; 92648728; 210539928; 761030681; 224957699; 268948515; 1014660710; 890321225; 712434378; 404573728; 325715085; 222922157; 425273131; 740630096; 487748606; 489279555; 588125791; 194590536; 365972059; 625526439; 362818041; 616988908; 167660703; 875441119; 121034772; 285457376; 972499005; 383920244; 693350358; 769576111; 1047236873; 174282236; 80186569; 454842821; 367739518; 588573591; 350700527; 738886723; 670479680; 192515166; 868644257; 955607921; 405803281; 994063932; 907380876; 90391536; 830257354; 606534363; 994099182; 879319649; 399259346; 365767161; 86578372; 1018021709; 57041237; 919081035; 290629089; 478285423; 451314098; 526897841; 722149353; 577959942; 235686897; 768607502; 798819520; 476831317; 841823887; 921507119; 47814734; 547106789; 31784185; 226643700; 293184385; 101255705; 958222895; 533821644; 174110764; 712811690; 784667561; 189113848; 143652221; 605117239; 103307725; 863819551; 286776455; 776383869; 885016157; 107868782; 274947788; 38212827; 213426630; 137428026; 806791164; 965892316; 209209839; 13161080; 855468226; 431088081; 288973033; 1008010959; 287573101; 294939159; 766131273; 368415815; 539362560; 823441697; 818763569; 676734340; 580689397; 962719794; 665608557; 9126365; 455621582; 487208319; 840422122; 782641732; 109630406; 731089764; 681093771; 604051071; 1030373517; 1000792493; 46397392; 450020794; 294079392; 794989888; 874752964; 584520872; 633450492; 79185907; 166231795; 931552906; 696920305; 328420983; 394778520; 2604527; 56484742; 20787714; 123227826; 85387175; 339130575; 1067192217; 989131660; 577774338; 842401667; 901198045; 98292621; 729154766; 343762592; 753790660; 70527229; 306022756; 198423828; 565959376; 473815506; 209159568; 699306676; 157277743; 348783629; 35487330; 242344136; 610183223; 570324421; 392813808; 766519256; 1056642791; 136795718; 213529796; 489631392; 1006098986; 638924504; 827448407; 563548636; 552633311; 526016070; 953770022; 640538770; 1021429063; 216282406; 459832206; 687767442; 922095650; 184445361; 695103737; 961502500; 1066358240; 770454370; 1063533296; 859113970; 27913719; 351400783; 66771296; 396483338; 198734346; 237323341; 207019529; 926766180; 167855954; 442693366; 728623939; 1005252064; 68068767; 183970872; 952844670; 532458963; 935930909; 122762602; 170268395; 256121188; 618044983; 360359084; 405732212; 600052245; 970089240; 583112084; 302624655; 128444803; 721297943; 645132796; 854451063; 414955244; 473389910; 922780723; 1047917555; 319137591; 685461263; 410609080; 64455988; 470743555; 53960756; 765930031; 624417098; 539759934; 533575974; 347023508; 675221137; 106374871; 28940196; 797952255; 286624655; 601595199; 26371408; 698648862; 97364667; 532328703; 364431771; 141075315; 565127253; 236447658; 154056113; 274031757; 147764945; 527508620; 502664946; 153812554; 385178159; 861657941; 288870989; 770011646; 50709844; 522667219; 12105023; 393952650; 784398273; 684684744; 700266335; 975382617; 634064509; 918753930; 1046770465; 802990172; 604882950; 171142083; 591851437; 782702876; 481622; 350176361; 578516128; 371446567; 588223566; 159624973; 1009095349; 258585734; 124153824; 691796791; 235536427; 32621156; 486311136; 900495259; 1017213763; 502177584; 943136719; 443484696; 751037780; 884284677; 212520844; 403751200; 630882219; 760402613; 3385893; 242909507; 239047470; 677093941; 909600948; 395864800; 754377390; 814327483; 486453279; 232376187; 1045170090; 629820381; 80702378; 316462687; 168344749; 565244623; 7375520; 568484997; 846967123; 418808447; 835604; 740456919; 75381762; 666474146; 15967329; 42764323; 894214220; 518052832; 85957589; 116309134; 164209353; 561564798; 872395931; 672036989; 953036342; 420088526; 761682876; 510414522; 301681141; 312684625; 553901404; 984595550; 511499838; 324842418; 117011524; 873282879; 297054129; 472482841; 705867004; 673232298; 774435333; 376962434; 109004589; 806856857; 509558789; 381466244; 935158242; 1024199455; 545299743; 222448529; 361655006; 891524516; 900349205; 249490836; 553435343; 744855511; 476900691; 144466040; 57821505; 25070654; 109610903; 615518019; 769670509; 802591666; 172501046; 398604336; 493452983; 167807505; 452392451; 404243346; 390094117; 918615821; 588842404; 586207729; 490436952; 226181804; 96257866; 591489264; 964499407; 498057977; 690565294; 74571446; 277437438; 858693227; 1008736796; 656439322; 42244109; 512024905; 655230570; 272962337; 744747645; 159499764; 596641463; 314768621; 1073478706; 416509463; 460317278; 76908284; 1002272317; 772861522; 477544059; 241258501; 680562139; 175994094; 478554126; 985070401; 339370243; 923113632; 47762934; 211685367; 972511645; 511162680; 819901712; 536212322; 368825360; 166831044; 846139497; 815109487; 41042956; 125691977; 822382977; 304515987; 144389975; 234532421; 395530612; 402353590; 155538967; 919501284; 847599961; 788889182; 412736565; 354308120; 301611597; 539367046; 352355306; 588333296; 867649463; 485698342; 276711856; 154378896; 368875917; 432978074; 114549071; 862558729; 251138803; 270752299; 825736557; 248464937; 88753974; 759661462; 780040851; 113056121; 80150245; 284258782; 682724586; 388060355; 307104582; 52881756; 1042072294; 820286190; 151820241; 229982163; 226214127; 75643804; 683219412; 13140630; 782440970; 669961371; 246775645; 189248229; 558346451; 287857667; 720796546; 747385105; 394771449; 1033579988; 484541243; 328719050; 762861342; 92719898; 215334489; 354064266; 510869866; 78540108; 906489923; 710120908; 706324141; 299523252; 759865215; 1008100182; 250326312; 184906485; 577861958; 510464271; 630693623; 976580727; 208744163; 170014342; 264753521; 334625988; 553118459; 677724374; 613575433; 110199711; 977832626; 429313172; 936600928; 386986556; 51257895; 404952375; 403972367; 999397259; 747181871; 710664876; 373808092; 342927467; 399587214; 620672266; 81874237; 179719743; 736557027; 415907825; 427882954; 67074727; 943726115; 855839939; 77337953; 969559654; 219083069; 1038186109; 565024599; 449988867; 612808137; 405385656; 312180368; 410061868; 902817700; 956795902; 832543872; 751907105; 1054038127; 510209553; 1051163547; 617357995; 452889203; 560692217; 996996273; 769504411; 614016743; 493569603; 646895561; 459551784; 778805688; 1044931677; 833988530; 373884025; 243471468; 28875468; 963055334; 425939320; 935061274; 1069898508; 573023572; 661268075; 983343507; 937187227; 903960445; 140970418; 555527502; 14630606; 20952750; 1059739382; 1064102515; 1027074198; 882309485; 503027873; 850459174; 567350505; 76532012; 1071201793; 810796333; 944890270; 780647335; 8333400; 751534682; 719273796; 927646694; 709051303; 586986372; 987369084; 580522231; 891431937; 1051839027; 173444014; 154355489; 248747546; 496710814; 201498521; 993279757; 581643568; 44407160; 701010925; 821078002; 904636852; 49890525; 835218435; 346679867; 61338864; 481397684; 613037487; 77218025; 746628901; 440127514; 893835731; 158767243; 576114165; 894611429; 539320748; 484383975; 279095835; 40466448; 465510278; 787732216; 871064139; 624090161; 74559679; 161562067; 521469885; 750800618; 781926237; 708587433; 609214530; 360504466; 199413830; 967741599; 558658110; 400379365; 433168647; 399964592; 899834339; 404163753; 649608398; 923031722; 445004661; 682405904; 615934571; 744249685; 728391531; 1035164577; 942930616; 225718846; 574863775; 446772483; 907586603; 374709831; 776272220; 1047641764; 827661944; 1071296163; 805704191; 764487141; 1066477469; 9638107; 39275072; 664027352; 547982863; 479009171; 6861967; 227987021; 758145426; 35108836; 167385455; 34295364; 69920219; 136083951; 17662173; 111774954; 870881489; 463645745; 203745163; 1004106687; 567136831; 161741557; 721169765; 711362825; 819757246; 899790827; 728385154; 714735392; 966224100; 677508929; 1061188797; 1007846765; 221476810; 710064872; 545054243; 381494111; 815027313; 886951046; 480580920; 496230279; 870514552; 188416574; 480759750; 101540827; 458687202; 728299921; 870805614; 275421263; 607529180; 504659490; 519311849; 314017598; 561454622; 494213919; 721920854; 383275960; 126583194; 660294629; 191858443; 253947651; 271598494; 211190669; 633196026; 930388783; 216800623; 203548768; 353085419; 817022245; 509966280; 757716359; 116108846; 775044055; 157515077; 203995749; 534200275; 964840997; 187992607; 849719433; 101815224; 580724140; 108938694; 390493247; 262019952; 1063179691; 106615812; 811151192; 537137669; 942118589; 206839520; 818829416; 681122368; 290476949; 140332021; 774837578; 680789111; 110414537; 335428795; 542207490; 858032294; 600566829; 227912640; 800954512; 116626591; 1005485845; 394067802; 435953148; 712135046; 348516491; 873227789; 369114946; 206053993; 63196178; 291950323; 104478635; 557963156; 463177816; 1021539466; 210319883; 946988306; 211418001; 975741848; 129248792; 376573797; 571343361; 1057421850; 654261022; 887566480; 484384339; 888061958; 45331913; 73629277; 382807380; 48700431; 499777111; 120759053; 810749072; 472008866; 681751726; 568583354; 267908059; 826023418; 459247778; 809457046; 941111043; 104331461; 97837166; 33809761; 316927903; 922456870; 859033664; 295554640; 572383176; 284123980; 118463913; 803491705; 485216519; 553539128; 728848053; 281636682; 861658320; 694539248; 749031315; 542941774; 755732279; 1050600153; 700823693; 303660582; 637279009; 888183706; 867563571; 664214941; 158069806; 205226625; 957639697; 158199276; 532754715; 944255793; 543945283; 793505189; 343369534; 359584076; 882862251; 378723860; 489999500; 779426795; 261817253; 1042656518; 989270951; 1044655422; 626415224; 1058308040; 850651274; 226025029; 13739221; 59110360; 515861462; 522127790; 221309842; 466922189; 264279585; 566486259; 271293519; 1016837293; 389064403; 392430140; 830154229; 976782740; 238856124; 711029193; 686973486; 307760480; 103247618; 103373310; 577881322; 877410018; 715292759; 587790390; 984713071; 563484471; 1057808102; 698508351; 557591836; 627762193; 649346265; 933738087; 1014284831; 420152880; 355286160; 168078936; 393852042; 482791316; 65119859; 672198452; 626261257; 437334348; 908224021; 574313242; 1034925597; 165928570; 614203023; 109496059; 572594930; 299643847; 86493821; 281310491; 312298032; 211683432; 890248589; 504312375; 690823736; 925216063; 855554073; 193068856; 126922715; 439682293; 622357992; 1067564634; 539106893; 569371516; 344770542; 656331692; 532426019; 680412691; 239794978; 682967319; 645582733; 90047161; 54512900; 797251771; 911364668; 35357005; 414294357; 818620057; 525940240; 635108346; 695960270; 293358005; 132165546; 345813512; 20177932; 356368853; 55627371; 957989177; 214622713; 601259283; 901311071; 776750583; 262651318; 569920192; 182596063; 463066155; 86395636; 111778370; 918442115; 158653234; 23847234; 671012063; 615222454; 438280070; 583262098; 899092722; 92230698; 838989608; 453816976; 980175058; 848896168; 892908142; 301081545; 523999976; 755505592; 509340754; 166217599; 911374606; 857101368; 717189520; 50566089; 339156209; 848659133; 50254560; 950107041; 191032735; 208824330; 1057505987; 466148663; 999607484; 624079425; 911771068; 668964100; 882841106; 880417955; 839649199; 435080031; 947417335; 646617353; 769110523; 110211188; 343806719; 945983563; 696645653; 868963375; 979285622; 726113038; 511433409; 322504276; 532678835; 196311508; 28552917; 869080217; 904504344; 467276721; 984839659; 1059657717; 540423558; 900623809; 589272161; 399059265; 49816967; 251926499; 684803659; 337968388; 47732210; 773387719; 4078666; 582025917; 870732004; 120672381; 802541641; 718500454; 1073632275; 133058986; 457357538; 949503563; 419669314; 447016318; 903364805; 517432924; 861783692; 218574887; 668931187; 55010270; 444344305; 275039457; 113962291; 315109661; 898498218; 468519164; 459801093; 175549627; 820462836; 1016948180; 822494178; 617870031; 23035952; 677091538; 724077159; 548015498; 649909303; 987062341; 1049362361; 765136707; 646877931; 840255397; 80570368; 1015637; 357129242; 786785249; 691142205; 742266108; 807454487; 642099711; 896531138; 1051528766; 643169330; 172306545; 399366030; 993523844; 27652001; 756204118; 96844483; 813747043; 192135635; 321113910; 183968482; 740671253; 478380232; 760496047; 425907365; 265722847; 965329451; 519237726; 653762911; 585583883; 119578222; 549086128; 630292088; 21058847; 187135917; 626352142; 45270715; 383030022; 444849366; 176815252; 620286479; 518190532; 181188998; 830965738; 18473281; 526816506; 163070322; 224573865; 272096692; 481413861; 79293772; 560150194; 239342877; 4216640; 1035559056; 400599739; 281966324; 446121742; 708478813; 319889262; 697015233; 995773383; 941704098; 434007014; 588373299; 767484882; 975523847; 507871344; 325988496; 668773928; 728747182; 640935619; 700376744; 673311221; 1069895008; 24137500; 448751060; 1027720508; 574515399; 1041716563; 104056036; 1013511261; 933602185; 722894212; 882276259; 734614677; 490486199; 87479411; 1009786404; 555944024; 235705335; 406903090; 272522534; 244244121; 736157010; 255603040; 149373764; 217849869; 113731695; 372925702; 374916084; 32043874; 214131021; 590919211; 998113308; 387754115; 115503488; 551437163; 738190987; 279191637; 42709804; 463807238; 51825335; 86259605; 986894465; 774963944; 40329016; 902759062; 173454321; 121831410; 744870621; 553598879; 420321740; 202799337; 91881916; 909501970; 831709494; 237088036; 499996020; 281875039; 528300004; 399054689; 958244978; 133324093; 248825157; 725122373; 384595504; 274656351; 738510756; 1069870736; 1057937882; 736596053; 858725516; 1049326761; 190675731; 601469467; 263737844; 681276308; 778333657; 590944172; 381369545; 776992146; 805435358; 767090533; 201970750; 1060266301; 165795704; 789178944; 803299795; 957871041; 1052586590; 579089898; 568829815; 86657867; 371002450; 428696917; 46881290; 52802299; 859132445; 303183687; 64220668; 25361653; 848884434; 161692801; 307353932; 936511548; 1024456023; 231812837; 240368522; 764147338; 685509965; 32114530; 197322835; 578076278; 258116471; 889424276; 998614282; 254950497; 587739637; 375218350; 522023078; 974687795; 956252346; 976012804; 323762749; 341048894; 463665647; 910121752; 6265233; 163476255; 977386564; 444148461; 937001350; 1036261233; 596025721; 898890300; 623463435; 881725569; 229425191; 837410698; 267901842; 352749914; 122282455; 16919281; 487014956; 189251751; 641400593; 909255888; 983625499; 479757078; 14969287; 760039920; 62973641; 749076769; 407884448; 208892792; 872265843; 197539905; 797474596; 27306715; 309761528; 327309844; 173583035; 162280327; 93731157; 56506898; 123696549; 566549696; 577242262; 381612475; 650365680; 416141977; 599527542; 892734003; 236676716; 664183312; 728135657; 541421900; 1015271799; 214953660; 379120244; 234439526; 997046034; 764820340; 448223659; 436050770; 311117719; 589990329; 88014481; 689880058; 174258041; 308122769; 92502238; 465463016; 371268971; 473948916; 485313126; 889585532; 389628826; 83793122; 524046681; 193558383; 339831089; 352451539; 951511904; 244398155; 111278773; 767544477; 560141144; 552583365; 89532858; 836012327; 159596335; 34123667; 803087764; 273974462; 331121271; 461614536; 610092232; 908367855; 100926767; 367813106; 640694089; 567237630; 485014474; 955413350; 640281303; 92680743; 492579160; 547626574; 885329317; 404977242; 302560136; 434534056; 795510120; 400776440; 1030162998; 755025221; 1069245403; 186581878; 143893913; 570558507; 827995284; 994472798; 87461619; 477770837; 486182478; 80920049; 22658399; 624377025; 1031384127; 381967874; 680814126; 737242942; 27793874; 494540536; 676416713; 503059545; 1002170996; 773771203; 256216871; 553067065; 1038943819; 651094213; 1047128450; 123432325; 210248596; 911033691; 380713424; 383004222; 605845225; 1012532499; 402446164; 507324687; 353077248; 1010893243; 501728437; 810008919; 781262381; 985331003; 1050499035; 80777715; 41717207; 1072780880; 514613241; 854903681; 300592777; 282301871; 243142888; 237647912; 875317411; 113490712; 374491225; 750197915; 134469476; 998653892; 376040984; 908619230; 144414256; 88420793; 961186059; 749197187; 1045740849; 350400558; 584366953; 939337059; 858248288; 1000918156; 774734709; 200137563; 673153325; 234038208; 113636348; 901250396; 618489414; 727814511; 164027962; 120977142; 548636477; 382474942; 51560594; 284712125; 408240958; 327732597; 623098367; 26938494; 739607149; 761542588; 843376460; 716044208; 192998511; 888946869; 1041399615; 57161034; 905449073; 386797439; 311084531; 687882574; 501912763; 298454981; 640632313; 873849399; 863442230; 620800247; 536735309; 1065195598; 1027881800; 994074425; 498474101; 916089173; 959981641; 1069353225; 128397622; 1034411230; 335575612; 1042866615; 256059213; 1010583035; 676825703; 995909651; 361239625; 1012427557; 137194717; 1047633936; 665044398; 365248952; 628024512; 750167517; 159219594; 440754702; 388287316; 959298016; 510982577; 410286566; 349578072; 888267061; 931119620; 696552684; 937216452; 250435114; 869523151; 578708816; 477624578; 838218630; 934636843; 914111191; 175634232; 841510939; 656366778; 1002637715; 52605647; 33373058; 579206530; 592060559; 465851164; 686897206; 597054235; 284072606; 66562277; 890215089; 1022976773; 18094406; 111535562; 302628081; 1060880193; 449817298; 585338278; 682433852; 230665853; 604748293; 747498119; 213770910; 753351361; 526872684; 1011298098; 479204096; 211182221; 182086584; 428308852; 246565499; 101760415; 861364534; 124736856; 825327828; 771305682; 224777084; 637112647; 993811292; 685039531; 389839794; 451107795; 772365072; 374586621; 336439722; 419675522; 652592329; 786917153; 102025051; 1012019323; 1043874535; 1037092497; 939438494; 491808833; 856527696; 991905825; 217454400; 209618233; 1019123916; 90329853; 1043686117; 735766034; 334050100; 347963628; 724926709; 660289348; 281802605; 311006225; 976355865; 250198542; 935356746; 811653725; 588429572; 59784986; 397181576; 596842647; 80891680; 488289555; 784351314; 1024850028; 72728672; 251050778; 1032795500; 445538806; 987460321; 176486521; 487708417; 761673180; 880963334; 105764178; 635461906; 709231195; 623966698; 715459840; 4745214; 947061462; 393445440; 548666291; 945029670; 867601611; 884322716; 909532704; 366636749; 657837667; 894296053; 288078307; 442275046; 683613819; 752563300; 593331698; 537532031; 1020696865; 929414294; 772848049; 553651067; 1065611834; 227074816; 1014389245; 483977541; 772146138; 81839632; 758646832; 440210528; 664005657; 353806158; 1071154443; 741079899; 809455596; 431620636; 677035751; 329626352; 851385652; 417825398; 192349504; 469574714; 179354103; 726055849; 833292314; 538085714; 329561116; 681677671; 441651341; 799420426; 1010092439; 1006288406; 402933708; 83056836; 530214478; 573206678; 757145016; 825901841; 187722855; 110786157; 1043064497; 765413254; 51755584; 62318410; 988327278; 271385845; 337070187; 76185425; 368841851; 449588315; 132398621; 998659664; 116421123; 894242179; 935639889; 183094584; 372178860; 229180620; 1006466074; 112646087; 349450469; 1040354630; 820851006; 545477849; 628618592; 986440105; 519961189; 594686820; 214255360; 967482133; 755144315; 275081491; 515836839; 696819279; 170890045; 1036110267; 295024510; 406320640; 576520412; 838625952; 66770040; 471364952; 605763509; 937760908; 1049272741; 662460952; 807571360; 547153863; 1052916574; 283865101; 509110716; 186554123; 304723457; 564600061; 701980656; 545519309; 694361919; 273015690; 802657799; 645593229; 274502916; 65077020; 411139844; 10532279; 887067991; 698493041; 295779097; 505008495; 778680577; 156057925; 594140629; 599017716; 304465579; 711582560; 87437129; 535870414; 597540912; 414690987; 94914269; 844328152; 514854071; 1029750070; 883391582; 943795068; 283651744; 1055074894; 345191553; 530921355; 340358551; 627709513; 555114899; 655213337; 566632291; 529772012; 113415135; 251166695; 894330589; 614019436; 11653313; 618227609; 348216149; 851481414; 1030203775; 390822798; 649621955; 635066127; 537537754; 918813017; 270036974; 381258936; 329414168; 723202621; 463630510; 823268084; 42777757; 756633609; 107934503; 92488510; 631979074; 839975760; 971349459; 416450671; 243641315; 428322742; 738925024; 82361827; 852719106; 87555631; 325305779; 844493185; 386452196; 452515433; 513632622; 499687702; 1022704930; 33018054; 603016854; 109115876; 519537596; 108994817; 1030889281; 91425870; 161215347; 614255616; 460836723; 798931744; 463973719; 70396499; 232946851; 384973752; 942287173; 942375835; 523475761; 886475053; 178748465; 191027420; 955474045; 114980051; 133243217; 905087950; 44298860; 123047722; 733122271; 312115461; 655946566; 911762001; 395752702; 42479538; 131350949; 993872101; 730235324; 343689375; 204475307; 26178574; 169208765; 678600461; 548286552; 870002255; 370840401; 511573447; 778097693; 33815371; 977108292; 654858470; 465357108; 620116344; 799798234; 216405266; 13514473; 227306142; 542870339; 886968666; 859439630; 632254738; 374417048; 473600709; 496730740; 900882717; 344690857; 836749812; 434606145; 839616676; 1064496695; 253066994; 768493463; 761220111; 773984709; 153341996; 1060089734; 572653467; 455049769; 257968171; 217295175; 298626514; 256096278; 492697536; 572620227; 24969367; 957419609; 299355354; 196165052; 244490575; 120534652; 921451051; 554002784; 605619823; 1036679872; 406767915; 709237292; 56095153; 623816238; 79110710; 553758594; 208347105; 172099346; 321524167; 695219995; 1020857201; 539716772; 665314250; 222443423; 305526884; 951020927; 973711414; 95488838; 252545829; 363533221; 652506515; 496925303; 26388897; 49598412; 496661680; 515241632; 569756023; 667209364; 235461577; 715605843; 744172812; 325059216; 460089759; 176620824; 719288762; 502691913; 1014232441; 45122271; 62183587; 199702131; 306492266; 519407962; 794201549; 411646292; 654436932; 183643304; 891349195; 987400698; 564869527; 413007370; 1051058688; 193434121; 859682611; 70533836; 623340929; 717850047; 794339379; 319355242; 676352347; 850169727; 325663357; 935909367; 139627235; 358655677; 505489306; 638216089; 755974121; 174521598; 1001514808; 1011023196; 740454013; 949383332; 971153490; 864850781; 959210800; 164306202; 540779047; 114949632; 766422275; 836247941; 662424651; 538255152; 1013598828; 389222951; 914003515; 913849973; 592584933; 260791027; 152961235; 874399075; 255584111; 201614022; 960413278; 940600217; 344946946; 149907127; 578608313; 825885095; 163743496; 403202340; 942145091; 180476015; 532882862; 561880193; 212597020; 967892030; 934279036; 1046046504; 758896689; 929810995; 1035838230; 189674124; 711049664; 540096148; 786361576; 154791545; 1017558803; 1048192815; 45966673; 637537391; 321404744; 648657351; 544603213; 889499858; 370627309; 720094690; 18701312; 182463480; 675391996; 392848935; 369120729; 767855597; 334805330; 324657060; 633781753; 668067071; 148633007; 602037547; 735965921; 407536396; 150354912; 930586759; 962604948; 729925710; 404748973; 1058414354; 390467466; 475296653; 302662946; 387204995; 16955219; 486373404; 367744518; 1033124995; 998958826; 635935870; 835677776; 27100730; 824428212; 217870584; 616266633; 199063927; 180563189; 60096524; 605352940; 1008458104; 244457501; 980227358; 586170391; 22411248; 839817381; 293738630; 345830593; 43649219; 951187226; 1070881015; 442107337; 998089659; 813041783; 396452270; 155958622; 122749894; 60831195; 904895130; 1056159672; 456393878; 515784182; 288461354; 762771744; 915546505; 730446953; 465777228; 50847696; 1016095024; 591020747; 545575649; 707522624; 67516399; 426461948; 170421917; 1054944877; 226629373; 910779903; 688663739; 1035688375; 631009311; 618989213; 209584878; 83651295; 442921921; 5242111; 974321125; 308253737; 608249677; 814435467; 746169012; 699332641; 733062235; 894664012; 626064237; 353844682; 410471069; 726761924; 353447333; 717005581; 893179471; 386757624; 723971123; 390106714; 722019444; 520152360; 317270343; 769790500; 777773028; 365081108; 359842277; 383685676; 611389664; 895068818; 1050551201; 901574667; 700449514; 301852654; 830122105; 348175831; 169029854; 296379624; 589558888; 975745769; 752374562; 278278854; 31861244; 576375343; 845781437; 53732754; 223357566; 1016692034; 981143578; 1048994474; 273229970; 347563880; 302891429; 551201560; 96265147; 250455237; 288634412; 32494764; 1033065689; 397563951; 246554200; 365688440; 504314438; 613184525; 63876451; 290942713; 647524525; 554758686; 675619841; 1034057876; 1030758326; 309613983; 286759349; 548207161; 140849815; 697342169; 689778158; 240950871; 212494171; 865228780; 626464779; 149286289; 1040130490; 825076714; 145327513; 910434516; 330880011; 146791278; 111861084; 44751542; 1003327319; 738213011; 570014834; 156856024; 170504621; 51308600; 590354814; 236414032; 550306755; 486232661; 321468517; 879255925; 798905909; 152286815; 1007529321; 964313920; 394802609; 519921790; 824596037; 479599849; 84675470; 663861419; 142413161; 240647493; 505274556; 935408677; 738611268; 854160825; 741976743; 457531278; 711187205; 300053963; 572591524; 810715107; 194748225; 472581596; 717941194; 623867424; 173548006; 417848407; 1022033971; 742311266; 418242999; 65169057; 784426475; 912922954; 118904834; 514109126; 265923821; 301539806; 248505798; 535830023; 430380786; 440111824; 132687004; 265706102; 546845412; 764738904; 38613966; 15953452; 242305354; 109841585; 897501811; 394850047; 763529013; 237514675; 894312323; 978720052; 420553491; 364175812; 995669801; 267505289; 697152142; 861755845; 801292715; 840258; 1002962352; 203781238; 254541413; 461804732; 964548504; 938455198; 253194073; 324938224; 1042107119; 343980345; 24389475; 626530341; 618030159; 565055522; 230254226; 762749218; 844009694; 321216281; 492308735; 260065450; 904249467; 73908829; 810849370; 877107347; 764987353; 779373802; 546845200; 284538946; 21901320; 521120574; 68284424; 155499052; 439910010; 138033746; 837000230; 982611808; 558960721; 863332282; 647079359; 2416067; 437286267; 900075766; 85657305; 690158581; 935552487; 977790727; 993716910; 822216908; 730046468; 688738492; 405457899; 808195886; 610824963; 721084331; 848251410; 683021218; 741784666; 369663836; 916168970; 1061833516; 752003356; 130733850; 385845472; 37174362; 553754185; 1036959661; 823435650; 389900401; 764259910; 692776467; 918214087; 556144754; 614071896; 668244426; 1009942619; 1068341422; 316899255; 34427300; 938572042; 182235563; 120117149; 653026218; 970114315; 795909679; 173880611; 876323560; 496788196; 378028375; 644816161; 464144274; 144923649; 37503526; 369411345; 446822601; 225788869; 993678203; 51426052; 6422245; 693793210; 720786407; 131216094; 645243519; 743846178; 121644150; 787736522; 78220905; 198659020; 411435644; 1039181368; 1001377704; 910146169; 879511471; 570551137; 596257086; 665836824; 515036244; 215428953; 970517150; 476469649; 67920628; 443838776; 880244128; 725121156; 172364695; 188890330; 27009744; 244583715; 968342790; 356968271; 918016279; 66256573; 650407327; 707301281; 426696097; 980680566; 176396575; 954913983; 1068580191; 256614917; 133685447; 440586279; 801369802; 751717830; 120014961; 225298263; 495614499; 79777455; 692684937; 951913163; 726398046; 577477277; 57484370; 823588329; 124986003; 944354567; 8300865; 715252028; 617317861; 211521517; 430125209; 240742523; 558064279; 625844236; 236569359; 555239892; 945641992; 244732897; 1049967955; 553579305; 574989698; 718512162; 667930754; 1071112515; 882629660; 19804684; 523385867; 493651600; 347425299; 990959650; 986841762; 478422768; 256292084; 758186894; 926483932; 778884723; 651834883; 271650979; 222096080; 480097033; 339062056; 981103403; 135554889; 315224251; 176219734; 814330871; 693969855; 550037816; 643358578; 634520210; 716903514; 807673712; 567639067; 166166588; 855218724; 535626415; 194575789; 63711579; 860457951; 1062966888; 178386453; 808241362; 603660558; 333501900; 617155104; 580606439; 662742210; 76862696; 1029164887; 830842578; 513786494; 35370695; 575976105; 953372813; 382065179; 175145795; 1058334338; 495243182; 852097896; 66567398; 963027088; 65264432; 366229373; 44338330; 1073102055; 157588011; 961819622; 676533793; 356828874; 176935872; 321334977; 458753489; 382892876; 1040616757; 1042042707; 968481397; 1037457682; 787273135; 336569614; 528823459; 511016310; 257511987; 302042141; 957646602; 567883790; 393423872; 85869068; 437843700; 934269561; 815332488; 621084507; 364431586; 1014162633; 774840897; 156397470; 429424954; 289576569; 1010215035; 945612651; 33367753; 20376178; 996743454; 878598195; 596080820; 992428237; 555117305; 473617947; 940526414; 325561464; 1040733498; 917366804; 926478244; 65164446; 837682533; 336954491; 534957463; 650581904; 433505378; 542641075; 786219388; 672268512; 166565239; 399727674; 72098642; 677092986; 239347854; 879593623; 513378864; 630178799; 840578841; 37176247; 163904392; 364698731; 1049993891; 625163645; 668179146; 676639206; 772069567; 312067667; 428967192; 58884352; 664131287; 274089556; 58170748; 414351665; 288782184; 672998637; 37379947; 489259366; 668307151; 224647934; 356179331; 812047413; 853513489; 923685685; 788635278; 629827150; 199653427; 256901023; 248818036; 713081505; 448444241; 324791583; 905362389; 998495828; 844451351; 1030806998; 695169451; 438235804; 921358647; 760755791; 520726662; 476947665; 500655720; 617904133; 919910848; 58050996; 276695751; 503219924; 53156669; 122118209; 260281023; 700032137; 4352767; 869602743; 934148752; 348911835; 1061103931; 43997423; 882544492; 790808100; 99758135; 524038890; 538928355; 678459826; 129176670; 940211892; 71407720; 76598989; 198479332; 788419140; 749147947; 335006275; 406607801; 255734454; 834714519; 330300025; 773571911; 708613992; 746758297; 363551413; 1011300858; 988695802; 902261856; 224849611; 780381091; 256282924; 910837060; 437395079; 399670537; 343303635; 890324781; 613702484; 115471693; 722602057; 126522726; 55274257; 28870749; 168814188; 520117876; 275753999; 575088799; 18572582; 619568638; 614859156; 478705269; 1046987331; 511685728; 894930579; 1053946187; 688492484; 205057689; 957604147; 123438670; 771034604; 865770199; 494273137; 282764418; 507939116; 78999848; 31972202; 876910572; 1046092369; 245364833; 512355952; 512503922; 395506488; 174764481; 669918888; 832428234; 626112241; 862886954; 484797524; 228276568; 680213115; 631041442; 216527861; 172834018; 775282232; 137700647; 7114595; 90930758; 834308773; 397310619; 391031553; 332309200; 949932483; 164824218; 298761348; 195658169; 484580933; 454322954; 154704616; 823547262; 309577349; 790490851; 605840568; 9059640; 765782184; 271408432; 1028325503; 304035787; 8468524; 808623203; 240326045; 240763829; 829676989; 916765226; 702509341; 82064014; 631462480; 1037148390; 273437525; 341967737; 251746083; 418053467; 634570135; 250068997; 748196714; 72633279; 161977276; 816071952; 1027374077; 507582078; 132674610; 147202215; 962977787; 169012451; 913858325; 688267763; 746852187; 944848085; 893273346; 775348198; 253208939; 166698096; 754805251; 1030155842; 383850063; 722274857; 751292186; 340496119; 968741436; 811491208; 782019354; 565305908; 687318977; 185848656; 201085494; 1024109232; 18178094; 342323845; 422719192; 868664011; 179480041; 294877995; 316404340; 18482306; 1040900350; 757942954; 691381536; 756479161; 129291959; 790641290; 517244852; 3742276; 158369239; 460336128; 316648570; 506340110; 6564608; 57863693; 429431740; 535550924; 91088224; 1066144712; 484817414; 947520582; 120412379; 177100313; 705319663; 782793893; 655941802; 937123141; 240407821; 257658278; 418082542; 3183018; 937680744; 458624275; 775795422; 100253629; 427699768; 414543989; 683228656; 57444893; 312511180; 377680961; 514113104; 365644429; 128397511; 205853608; 534595028; 903419856; 999048581; 529077373; 18276315; 826969367; 459104134; 614547859; 68769448; 673087840; 419759899; 397402899; 598795917; 656787465; 93774332; 472175436; 349078214; 281768888; 785219718; 749797027; 164587814; 47775019; 128837936; 349848605; 811686480; 948197173; 192543999; 107258448; 286940115; 791833993; 236183300; 676897025; 1068949369; 974701021; 907011798; 770554088; 321043836; 302597625; 102274932; 220268738; 899800008; 193876807; 924658309; 614257197; 291785883; 62344249; 468395274; 706627999; 566654535; 986679368; 630081389; 322653897; 1059111463; 527005949; 583545504; 626158425; 478779919; 900160461; 751893168; 1059281252; 587922751; 36007661; 114097187; 687056093; 909140658; 521093905; 463897049; 875592312; 116930184; 980655968; 831915974; 387263079; 123252670; 672328610; 576512329; 105773970; 930028756; 138260643; 515247049; 918749427; 1056379164; 550335094; 637921556; 569286165; 661744419; 312466253; 737973063; 613695963; 821083164; 112096890; 531941654; 118982323; 647568129; 1024283089; 964860944; 794628237; 760159490; 56931626; 661581928; 969717119; 934390213; 519606031; 299565949; 425270278; 106764388; 973737332; 680630210; 58369717; 926439907; 498335651; 615387275; 566343771; 1055701634; 959276204; 668320054; 698191346; 605276322; 576512121; 1042900320; 706964818; 779532230; 726067016; 595527137; 950434205; 828755402; 378530266; 926423698; 724832676; 359898290; 374213502; 872668586; 897718450; 678636415; 865118095; 858497811; 813556814; 540629954; 525384428; 397056916; 832429586; 96156214; 924557804; 637712721; 103550177; 906639701; 101614043; 833198187; 59703289; 853619310; 226398378; 539488361; 932796801; 773122606; 668643865; 725915654; 217038614; 874888341; 382125936; 289162356; 610418817; 446405173; 770997977; 1005203931; 432266783; 353768980; 628269638; 649301900; 208733301; 380045099; 119503808; 525888437; 632157304; 58858759; 250778249; 407608278; 595281115; 276204875; 344077449; 885671562; 698517191; 812399274; 517183369; 606473639; 600549105; 354049405; 802122769; 964239917; 868818383; 475061866; 393225938; 1042473966; 579896243; 345256878; 675593232; 479227656; 358963272; 895412581; 675879139; 169214112; 271225624; 493721873; 1030702564; 117209916; 378810919; 393206621; 892704425; 824452848; 317181576; 526472958; 949226852; 974016870; 496910533; 622514087; 839568571; 210447393; 976099071; 393324231; 692300502; 634285602; 539481089; 306960242; 640987339; 663986531; 365045953; 322067347; 586709872; 593870033; 813968679; 787419592; 842250816; 1031302504; 857044533; 1009630858; 963414008; 776172342; 871918253; 704781948; 116135046; 127683396; 234330459; 1002356319; 724748200; 526889104; 295199401; 995703068; 727660081; 481195992; 291178540; 966694119; 883887159; 664301220; 155966751; 970394357; 206076339; 624962524; 78224571; 742006820; 1039103969; 464349517; 965494164; 588198216; 137189656; 113197224; 198537316; 237906271; 1025546889; 983295981; 989813264; 847219321; 760572776; 311013704; 180264663; 115639787; 12991871; 884987812; 777143695; 365599156; 1044226452; 818649594; 1004054813; 236958463; 1031152504; 723581061; 800194369; 47280662; 266811246; 923784824; 218461212; 615932137; 294710582; 339006446; 628220640; 268048858; 407829384; 135090295; 175974069; 420206664; 480739391; 185684342; 701539731; 227493518; 700698098; 131385229; 671818241; 838234049; 57619506; 531346911; 436996585; 175279656; 565584931; 1024079679; 761616315; 110530096; 446589460; 827650958; 121754071; 417386905; 1018669382; 578077273; 926625015; 64354456; 827210339; 414981335; 56627318; 821225845; 360747985; 373773845; 573225621; 1001683846; 835578954; 868887974; 275998480; 382585095; 751328803; 420511187; 201012007; 572656721; 1063789844; 903790583; 384407340; 80264733; 605751064; 464486413; 926844778; 721683866; 589301417; 1055651476; 966775953; 1046843469; 881173016; 986257712; 405294021; 1059347226; 608403166; 419781915; 475872755; 586527227; 361000568; 691086325; 986459416; 199479903; 963876736; 256704607; 351458696; 629082176; 580960214; 149524003; 589298858; 278859225; 218405626; 701958479; 234608345; 466509148; 362748236; 60342077; 737699985; 611072335; 48347099; 131636136; 710005526; 954953391; 126477789; 929055963; 227444231; 772000174; 955731151; 437430644; 454854582; 324843178; 663232619; 856031259; 749312294; 257084208; 519351394; 697197352; 805209034; 278823940; 634628067; 782556979; 731710240; 378967426; 632969759; 824862289; 1035307044; 756114900; 1020448080; 200566372; 492691222; 961834528; 685415839; 462163589; 508191022; 451960953; 30723626; 254731306; 330299829; 164309492; 426582893; 65536702; 246859594; 871536748; 48255321; 221858903; 248912354; 749555643; 50207469; 414182888; 152535976; 30268778; 768335557; 40919472; 879245352; 640013940; 1061180546; 359163011; 1059879222; 395788727; 778944401; 1030816636; 239461746; 81550901; 58717252; 772343026; 410092208; 12489806; 869131456; 976574719; 168210760; 1033054248; 459252846; 439311394; 529690828; 962111587; 175305096; 929950872; 624337849; 913451241; 318221516; 511992450; 622719209; 714666394; 5564300; 407244005; 91139482; 899780259; 678524405; 42728685; 576577554; 625460343; 484861619; 163787338; 908736759; 317796337; 709611871; 573294140; 1005541638; 564057850; 190417494; 397598854; 472188835; 345862774; 303109663; 867138062; 622455654; 828594139; 926816609; 995448875; 719801775; 1039424643; 364508963; 879978545; 145691101; 332586656; 142861748; 107276262; 694912298; 705474646; 681197643; 691050363; 386853037; 188481658; 724159655; 371731885; 382293289; 175599496; 177338163; 797904707; 691459719; 70797455; 1002001000; 540834972; 452884; 1014046601; 687529996; 1045171993; 678020012; 399856669; 815432953; 984832123; 398357974; 258761956; 449249994; 303306775; 457485113; 33800315; 618555918; 68445320; 216550864; 718716175; 287037499; 586229418; 13357062; 713626297; 1021368037; 90720925; 215978885; 465652192; 393233683; 646705516; 1019592891; 244730538; 744160654; 12870690; 690827794; 204161945; 484791560; 157922366; 954790677; 649788217; 536035260; 963323486; 791275394; 679789516; 918100388; 639918017; 1033489219; 555942509; 162607908; 8146309; 1058278584; 237912438; 515748360; 139678974; 969633998; 31288455; 257132555; 612469045; 2818460; 419878747; 842937276; 275694242; 645943848; 157407126; 667227951; 108617176; 352741586; 461691857; 971142143; 833657626; 858102226; 382729144; 1054460010; 523707107; 519924479; 193053552; 315596843; 639066697; 1047022156; 448323832; 889760689; 1029360928; 904112626; 83225100; 151721730; 729540259; 853455720; 427940357; 955079625; 381100112; 746134528; 849571327; 535243177; 262331210; 874381092; 640209083; 828692110; 220629039; 899158836; 596312758; 740430340; 287820057; 855384476; 891843887; 621144792; 934252318; 624896637; 260687870; 605583418; 766228554; 642319477; 908645721; 857598819; 703264788; 384871800; 506746585; 149164772; 649427279; 876670254; 534068730; 125423887; 678245883; 661872396; 832130369; 639564313; 264172993; 989231905; 867164039; 56830904; 362586894; 161509882; 255714554; 268285761; 48233107; 349553154; 897181391; 785923195; 941378854; 444829126; 99090004; 403327425; 566377590; 1043926383; 814684870; 454948253; 259918492; 438259712; 568016881; 132568847; 105374770; 343751192; 184125667; 18219012; 45278977; 385350702; 67967676; 750891313; 1008786160; 1025179290; 961380330; 751132180; 825654576; 576573168; 835193051; 584861466; 941251044; 306309574; 954162779; 563181073; 1242966; 46253895; 832954611; 1060942765; 681018076; 647059751; 933048423; 203076838; 683770854; 334765971; 275972712; 74733287; 909084989; 1057871724; 292271952; 574615803; 567595277; 193678052; 686734710; 163389262; 1038339263; 846037388; 774724945; 872557110; 969413270; 973198571; 1013413059; 971787249; 901395335; 160838886; 853510179; 955103716; 138545489; 902717490; 955225102; 620958306; 147426448; 54462575; 898654611; 110473263; 530833944; 1022864557; 342184886; 438130753; 359853914; 1065891232; 746179891; 308428927; 707361229; 24040230; 902325407; 874631672; 750851225; 371703959; 99753005; 245269350; 903428196; 443239884; 21726271; 107181547; 868986037; 392722446; 740026798; 1064298446; 403257998; 298572464; 1009643546; 809305622; 860812981; 593660756; 131670413; 1024003145; 674707174; 158698332; 842914732; 151970158; 119934797; 937310522; 31609831; 227387920; 89909344; 166643944; 959472321; 79516861; 723918645; 104712010; 714665342; 667097018; 329011601; 589793507; 218155468; 608902472; 974670457; 702884812; 75784772; 202244048; 738581302; 600232930; 946304466; 511769283; 790587812; 528789391; 1005347180; 247880505; 36852013; 183262192; 260411709; 266870404; 800806597; 37546829; 704263603; 505183880; 197141531; 473960364; 1016725859; 510879704; 197442777; 1039467342; 445902386; 338686890; 463396917; 808606443; 504247822; 834149869; 292091018; 941893001; 668226676; 541443063; 419746798; 525932199; 623376717; 140383659; 250544907; 428743978; 587320036; 84465130; 297295178; 1027478731; 511840463; 631685160; 165834769; 884455018; 340596042; 566442492; 736472877; 193970554; 511997961; 620241469; 129470046; 61740147; 548787752; 607511764; 178559815; 751132077; 463802328; 1040318528; 440879904; 420450243; 222503737; 776182600; 635966045; 405792986; 569605421; 551811594; 62456142; 1037402262; 1067523040; 756518464; 73172476; 655526309; 281229491; 28061130; 82795135; 1032527009; 214748485; 55399526; 353388602; 145621080; 379296918; 555468934; 80578205; 547511480; 879226662; 1010153769; 878990280; 808069212; 327660831; 661647433; 700740290; 464195130; 570224429; 454256973; 230266984; 283854101; 521317059; 70131015; 54115291; 486979618; 483826702; 350005293; 166690202; 797009774; 916398790; 460790239; 765854657; 356346895; 947457747; 425562488; 293616049; 431492230; 126177132; 837635568; 848265434; 840971841; 137241830; 278018536; 176473596; 88652731; 573101519; 454121899; 815188779; 991529128; 672885860; 138468791; 862507303; 344624253; 329786733; 737321698; 753962700; 416942324; 1008235791; 1039033668; 615809623; 464045086; 816260081; 405678882; 581224023; 144365219; 579043490; 583560431; 1072893666; 814193629; 78351996; 774895391; 702105382; 318099249; 137360111; 392320462; 845423643; 318462629; 685355062; 137298575; 863689183; 1015450726; 822954291; 1004861144; 1023192112; 252299320; 364408622; 888118151; 888619455; 100965792; 239991126; 596961597; 314946736; 502046893; 498908061; 662493172; 16200839; 381659369; 275152976; 577938715; 1053464499; 17437774; 875473318; 455328174; 637740056; 964794844; 911569176; 379753480; 324092568; 310422103; 1006310643; 436500300; 960944643; 105595566; 21262385; 477022952; 359143681; 899618080; 857149109; 690519913; 799528149; 746862513; 297130658; 197304345; 1065032773; 374286731; 963433860; 593905287; 622685410; 917769633; 301041168; 706202142; 43770209; 492110506; 23698040; 849462903; 845062181; 601448169; 309457114; 399931618; 369026693; 933682344; 159222535; 10600749; 300649166; 1054227416; 221049178; 566619121; 277692501; 941078465; 718393587; 1007734650; 338809997; 681082311; 868359769; 310867164; 784130474; 881100229; 107707213; 213383431; 1016262442; 820694537; 567790186; 170501874; 401802983; 831284869; 1051645247; 42000321; 229217613; 772924250; 227633994; 823298981; 715467855; 344453030; 152419838; 402276992; 320687955; 1029143102; 38390024; 917920003; 624503385; 1042184168; 45964540; 177029892; 678976405; 646159494; 693887539; 153643989; 908247888; 736339385; 887627188; 233112545; 669768568; 1073678086; 204846618; 306470704; 45264495; 751440342; 364573020; 337603740; 211604835; 642328414; 691173544; 334523867; 726497689; 497809638; 892488533; 852072350; 201869910; 219006010; 1048065389; 1068664212; 661308388; 372506897; 672252958; 509994307; 42358925; 379384313; 1068839839; 400664446; 814655056; 1029934976; 256652315; 812116113; 752649903; 859093774; 151174513; 201255685; 104662333; 239478803; 346551904; 613549942; 861046455; 856379030; 257645557; 159340930; 430200148; 832984399; 598013836; 770787022; 271780687; 561280663; 141814681; 336773102; 257784809; 754064477; 431439438; 495874733; 173958910; 336749644; 841455016; 402086026; 87382764; 80000796; 492927151; 912286602; 247513728; 864975555; 855841359; 19318755; 368149869; 548388305; 764508375; 758953684; 650282108; 753731390; 557905837; 229773584; 1048232284; 654580126; 160297365; 509874631; 534221149; 319532332; 427637828; 1016100938; 639152081; 966015196; 873424463; 401276350; 225923004; 280753200; 552819038; 425078332; 676770126; 572804002; 396992788; 718961176; 244883163; 169547780; 1071884920; 3022307; 967166172; 890180680; 959550970; 32811127; 193620021; 258708912; 361938322; 406418588; 165277035; 30141481; 398545980; 292668169; 977277419; 819813749; 561411026; 600243850; 468449368; 283961588; 635167387; 672933373; 740499955; 672073800; 547749826; 850915662; 4072067; 944781661; 172019158; 946304079; 622756300; 420230793; 532458955; 897612272; 434393917; 869099542; 353018679; 211205640; 642797819; 691223288; 197476161; 548868806; 892988731; 334370712; 964950515; 147602405; 486489337; 827357894; 967891567; 171144790; 544142284; 565335363; 278548707; 380168905; 646456195; 748307520; 182910610; 426651834; 677587960; 166401386; 739661063; 421834473; 505317606; 798090491; 721054685; 373806303; 258087185; 647847032; 1023080429; 436393865; 721340560; 57001599; 466638154; 1040807641; 60129047; 100098358; 261432880; 656622516; 390611581; 1036757605; 623145551; 980920385; 155874019; 1055352829; 223213905; 709147199; 522457389; 593970123; 406277579; 199371646; 592885086; 85669008; 679520365; 586018068; 1017106766; 941940206; 340110117; 821963161; 239860733; 253274060; 435296738; 822008817; 812087428; 698990951; 748272469; 653012659; 531227472; 574159012; 38706454; 91660842; 442344716; 983017205; 436790385; 36433310; 565645801; 274518307; 338306175; 581308046; 866188074; 348359132; 197369599; 304672900; 491706975; 618295014; 315924378; 395731730; 583642565; 344351300; 230628395; 637098882; 433523909; 76968926; 329091464; 439784166; 386962937; 491194624; 532748463; 360872760; 557768891; 752265173; 525103234; 29989911; 888488149; 213486309; 55396913; 922071376; 753325571; 100927680; 556088472; 382835326; 935543563; 421279196; 165922262; 537590534; 25925869; 14084646; 575133342; 1047263675; 340664035; 1016625028; 245682668; 567289801; 767187205; 726520608; 227779315; 941402652; 1029148253; 485215053; 576777945; 241197364; 665356344; 304637328; 704238313; 321495493; 448985412; 1004252429; 1010109541; 7465633; 820901629; 833053807; 453675380; 60615924; 254063301; 851542584; 848432166; 649286366; 50536269; 127992216; 584528153; 417843043; 903833996; 238038348; 83665670; 77307492; 511222409; 703273687; 1064295489; 991951269; 337693872; 484827310; 1025434270; 500894257; 542799137; 746773606; 858558985; 478050740; 1004366552; 901901922; 554234848; 568570133; 177682413; 91772243; 581458669; 62161358; 1061152275; 443317084; 272387026; 164270392; 1004146282; 932552695; 1040814229; 188566339; 149613906; 705553578; 1052484680; 465936612; 1062448343; 628544565; 981676712; 136483991; 447576122; 410686738; 406065898; 1767585; 170345170; 677263856; 510071098; 994466296; 42190277; 634655343; 54297567; 748378093; 1010248789; 112501506; 193385143; 847856820; 792141351; 453240525; 1007493818; 99405452; 765214954; 1009500418; 255852612; 534842896; 706535334; 339851210; 900855206; 777956304; 744224345; 786962731; 197175692; 106495205; 200039281; 665039700; 446416828; 103575486; 763340218; 706406917; 310150108; 694747425; 883343365; 888386813; 570304128; 455488826; 229080287; 21536848; 864548546; 162462872; 637742254; 483401527; 522447448; 744264887; 277213681; 743069020; 219201839; 821667370; 987225948; 80489677; 338356466; 107015652; 919053168; 304513521; 224771503; 777171440; 1065162582; 290003771; 597398456; 734174106; 4477723; 274584527; 722247821; 98738792; 44426766; 673860557; 427478462; 991754102; 393980583; 122453502; 128016786; 330090758; 939829087; 337162595; 274748160; 313231590; 350363503; 923963189; 136434820; 477643136; 63262045; 742645183; 646224649; 942583659; 338730816; 250497102; 269981456; 884187211; 147158020; 151132598; 899716029; 953613737; 644202650; 716218466; 410564266; 425199934; 113255833; 1039634615; 829931075; 451876462; 960525420; 851608978; 390734856; 1013917623; 263916236; 464044113; 57476622; 823845668; 368946335; 164928188; 847913819; 286212462; 367510190; 5635285; 286974164; 1007874692; 953302893; 745271130; 845063558; 318364635; 400237901; 248317264; 1027068221; 719279996; 675541239; 629698097; 619343188; 166067817; 234995791; 266516118; 261861248; 554719; 710344063; 948738839; 223438582; 21258308; 103792540; 665617113; 247130054; 21498348; 695528919; 826519339; 799176890; 1055926574; 752676077; 427568543; 18188227; 1024226547; 832185256; 888230294; 470195357; 815652810; 925925832; 303806509; 753666579; 74402975; 458246395; 711253495; 695797574; 485817536; 788249976; 656218910; 934298826; 160520178; 921059261; 247855789; 593391711; 767842124; 68076937; 572512376; 837096553; 314725076; 856924998; 167146432; 412813110; 359730713; 354791219; 17847536; 846996587; 500959930; 152799548; 861872530; 336204631; 564099275; 259650006; 778533538; 1058353746; 434424639; 16481219; 943101462; 468555470; 273434670; 13920888; 1057989209; 582348824; 36151733; 516109110; 871728098; 794839544; 980648847; 925756241; 1035582461; 89708726; 898492041; 215472181; 928115398; 1068422775; 470139036; 278659919; 659672559; 637697326; 836635762; 47427633; 98220814; 992750065; 309303123; 895133928; 555742985; 354989247; 893467616; 523543454; 203839148; 983514264; 529339036; 572464917; 956923134; 1037533651; 10182185; 1022655538; 682752841; 820435788; 500797454; 208159673; 630324554; 965388974; 251062683; 1066690795; 153877948; 473052189; 1014982094; 813067166; 977121715; 414661610; 494275336; 493199375; 1015627821; 215640292; 665269139; 352491244; 387394428; 477435212; 42910937; 661931796; 55633638; 814588791; 456392225; 210646675; 258323529; 353176401; 538956164; 279479330; 916258847; 609320559; 33982519; 53427572; 935389604; 141184535; 829269782; 525984875; 13577349; 749512470; 320339045; 1066045802; 199690280; 199965180; 168169479; 174024477; 822120993; 419970970; 589202208; 661923723; 999299827; 788666319; 1072781371; 1033212435; 618304261; 1037784590; 965184008; 923028467; 8977298; 894789427; 738141586; 669065367; 508040422; 542685603; 248683585; 958255540; 144268970; 1071801373; 878855002; 37280141; 481873483; 332325771; 646392552; 295562741; 310362370; 946779970; 337730915; 886547053; 921727817; 464146165; 755117402; 16275452; 185863535; 808406518; 934702668; 434907288; 557513215; 492216719; 714014454; 532795773; 541597252; 859691752; 890671015; 231023047; 59617459; 649627188; 429644448; 374097696; 918914899; 829281456; 399945958; 40502058; 524722069; 1037396362; 257388163; 213791661; 164931917; 475973985; 606330954; 923863309; 296068692; 586976242; 764055136; 672538589; 372583448; 710400225; 324368580; 798778644; 605369277; 434373150; 449654830; 828495707; 207221283; 509651929; 678528234; 590769451; 909959097; 536624977; 22330940; 525902547; 931386310; 784381240; 397114198; 620661959; 1066122155; 298243681; 127173979; 1026760035; 681810066; 453462786; 1000708047; 972732850; 901473582; 116739085; 399193929; 62144073; 444514140; 152468872; 370375747; 1022788387; 671991263; 422313460; 552234617; 297992979; 769289407; 86684631; 894119787; 278904210; 507942293; 45890864; 640659027; 834442601; 1054273805; 301663224; 327712071; 525175156; 294738706; 1071700535; 485903819; 655968252; 643412087; 77052834; 1057176599; 1028736404; 676662179; 183587721; 815295365; 519459028; 86844003; 834317256; 500053884; 868184742; 390655503; 746119814; 692193021; 889843519; 308554982; 779142508; 109293881; 361796465; 283400858; 143837041; 160610513; 543666403; 128621572; 1054746729; 345686234; 448388872; 635227155; 908015381; 885020666; 75661289; 188100988; 1011372420; 73964479; 351881765; 894573193; 372490008; 331067910; 560011987; 490682593; 635358815; 396359781; 184746616; 304469218; 673690557; 550686116; 112869315; 1017551364; 1052731434; 1005714658; 329220501; 839751873; 343185559; 328837782; 946472186; 827389710; 931696595; 86612256; 966286418; 689443696; 877965303; 1027085335; 828127420; 191936159; 594153242; 291562648; 772687303; 308821204; 732517617; 13554710; 1025831871; 234909261; 416594850; 111643813; 149041721; 810572325; 1061825840; 87314966; 938249793; 1016362627; 71167578; 31405729; 701068271; 1061599549; 759086505; 50348160; 139586625; 741971885; 739802993; 1894536; 701187500; 429909463; 981803069; 842377395; 194078235; 320607163; 914181395; 997248968; 800757889; 208072972; 1018585610; 262657149; 1053321464; 460396550; 289467990; 125578159; 675056680; 128966026; 1067250053; 928949953; 551638854; 508790684; 701513894; 907332095; 744788040; 876134830; 316563858; 494994197; 517159865; 587066623; 118041324; 1071199854; 737111449; 35971455; 94919416; 286144855; 565887376; 861805829; 840222988; 642878988; 697346169; 31249991; 273794335; 1039316207; 280518954; 686501239; 896429489; 825853284; 147832460; 736211851; 643528846; 583331826; 853074217; 1034537710; 471397344; 1025288473; 367204230; 184374195; 514372025; 811498334; 813985615; 110711672; 631882809; 34227622; 345969601; 99524725; 350754341; 204181048; 721828707; 798420202; 606057983; 1064851716; 69830811; 311920367; 263932056; 1054551928; 858408478; 551255615; 1064392658; 735231365; 458563926; 386747868; 247812742; 114678827; 120567515; 792064102; 409764567; 638077758; 774127367; 89901216; 462135241; 127354018; 451094256; 812872733; 706377244; 31351035; 445447689; 722944135; 22692463; 919493579; 94886668; 269947938; 1004890270; 903624415; 117709164; 781659457; 574426592; 626260423; 844633715; 434928618; 691580472; 165106398; 16377685; 739603733; 315100366; 149203685; 627450323; 1065662095; 243265497; 857868002; 438151257; 838958148; 501924316; 220858986; 87190553; 414568781; 477735593; 15020616; 158638674; 729843519; 796396775; 800198075; 539469309; 696578761; 258155645; 138329148; 654931478; 255753674; 607479548; 21040577; 907095117; 317707371; 229220481; 923838088; 395625582; 676842386; 772208274; 173614907; 797771717; 311221962; 639389392; 96923204; 298981832; 763566328; 11057792; 927870323; 878349744; 376076812; 706434661; 126223942; 138331389; 703025189; 597459015; 606948297; 836631814; 331606764; 411177545; 807714903; 628320682; 948719726; 1050003163; 598718428; 912293179; 1049423529; 34993767; 353282334; 111820072; 829409037; 190522830; 507292284; 727428914; 234891416; 1028552257; 332916071; 799366580; 642914137; 116807659; 299054160; 512705676; 635481760; 633729212; 691671870; 95584952; 966833750; 61382738; 395237896; 233800492; 82950592; 503487183; 961687990; 512426319; 659898884; 10580453; 555404973; 271554314; 334067545; 227849012; 366927419; 633611446; 615571598; 440109891; 301501975; 215623615; 390707727; 855536206; 335276889; 311727452; 580598244; 681951304; 364156895; 914435763; 71313546; 619864399; 800445981; 839970674; 842311077; 665657883; 799721074; 1042770955; 597332172; 992178670; 438686992; 468600420; 7979945; 870590125; 408609925; 59521329; 632729884; 860774970; 11276737; 115547834; 172837014; 221069948; 35559436; 298548296; 896521250; 652193755; 508079918; 629672962; 42177854; 430186935; 883422382; 103103115; 631723742; 167413884; 744241889; 102467619; 695770148; 596667441; 916350919; 80687472; 735607411; 94444682; 307953453; 403207399; 591734160; 516450328; 629797696; 679521679; 398390869; 883326674; 68521770; 668025723; 672347910; 407664981; 569370171; 768586037; 698339346; 1022300942; 161158662; 77354071; 222930190; 457779919; 343111266; 59948822; 1057561707; 752466607; 849860241; 177818563; 211633601; 354779295; 705453268; 831397065; 501034088; 229369129; 431073204; 485844840; 835891912; 193592460; 396529856; 394791229; 292625975; 687754438; 871481753; 728140147; 749477770; 282157205; 895210015; 972119263; 577070334; 66193824; 942227789; 465656492; 22745463; 873776578; 285948004; 487549379; 468925273; 968317757; 686673156; 180700538; 51789077; 875519185; 791651360; 682370923; 99216274; 520193454; 927974177; 43615108; 939265054; 445004413; 4197476; 1631718; 398310088; 318391847; 526291222; 377657723; 1028778443; 602927073; 145610111; 756553689; 854361095; 310928063; 335615600; 932370973; 466344608; 983232506; 346190822; 400037253; 1065540767; 157160210; 883342396; 700998346; 641585683; 940450413; 218639194; 95122075; 145524297; 912917890; 827780856; 384881103; 38911835; 996610622; 324516621; 23415365; 211497494; 1016720724; 41075497; 273589590; 995820568; 487588654; 258574504; 423578219; 874426899; 211797381; 249991311; 124464312; 22918095; 677983439; 937790521; 794529607; 370953575; 23348029; 562674943; 721455416; 958197937; 987713869; 144511816; 985248719; 657553635; 880122858; 566231655; 426655035; 176951741; 961488935; 962757199; 360056834; 344045604; 388255188; 579404352; 248251918; 460500875; 525481395; 193618596; 949404464; 366844324; 983513429; 269666188; 838887183; 244507469; 128344249; 1014470365; 978498487; 164962172; 533193148; 170090368; 519002353; 164461434; 663446931; 1051463103; 134575861; 65366609; 1027318688; 894883766; 347356943; 463192129; 695316333; 479490565; 433648855; 787635200; 838803742; 67869635; 874809693; 702910929; 1039852527; 610829276; 279717065; 282175075; 554018091; 199454920; 177986555; 45663965; 768936650; 660796943; 938652252; 624309362; 282284969; 162508535; 283008474; 352346638; 315582977; 361766763; 768649769; 966113486; 32593129; 281936188; 66865517; 348045920; 25340539; 727489749; 1057082925; 215198734; 291960788; 105089129; 994291854; 724628505; 584209158; 48073571; 300101894; 264872727; 255909686; 63727461; 3213591; 442598092; 768147145; 771033220; 749472576; 909259132; 10843672; 1007172767; 100593383; 566259358; 693406415; 1058137411; 289876932; 1042558498; 286639553; 651136543; 947581041; 866330907; 570834274; 296359933; 1031773127; 892386429; 470620102; 735466145; 853098304; 880137912; 988041259; 588986757; 503689236; 928926649; 633648326; 76063620; 355120376; 512777197; 213757994; 689299042; 615277027; 372286546; 799935338; 49355491; 235930637; 164182822; 1059192761; 765808325; 230953618; 253553012; 551775978; 756572871; 153974409; 742075354; 374793533; 803886293; 237762970; 560539517; 236007736; 401208270; 176161263; 853722562; 246165871; 1054563599; 802299601; 305165748; 778326348; 908377490; 715486278; 574015721; 107831408; 791859498; 164443166; 665773396; 812536187; 963293634; 514805031; 671303509; 977931353; 897989951; 166175298; 454754139; 850428434; 662149279; 153887906; 905430131; 996204095; 507200489; 553914526; 592793959; 377727556; 491363627; 69564456; 1045577830; 521168193; 37708099; 796047306; 8437350; 4814891; 117725961; 888933844; 968536572; 426040719; 121960767; 617219356; 468855298; 972829302; 67701492; 120570174; 766985186; 124964325; 263134236; 355671389; 53525484; 628872063; 93045308; 918705455; 305232568; 22338813; 812229714; 228964833; 595660342; 672401729; 421411245; 349072481; 127347849; 561618108; 604596362; 312468945; 108659166; 430799585; 965983737; 683005252; 1043858072; 1039836893; 349239170; 996078828; 418105163; 708173226; 729223499; 699120967; 380971116; 185045037; 1057214131; 261211846; 666528720; 237767741; 333744540; 972000381; 840677184; 31532190; 196382990; 755696518; 1004556946; 977063603; 566273672; 593820936; 564266367; 929357874; 310378171; 895405559; 393750685; 529801787; 840159395; 1022081052; 17772258; 165430510; 1025725952; 958449442; 433482323; 44593928; 1047529681; 324511229; 539447408; 1058695949; 864410459; 251585118; 184045693; 204621284; 951432563; 841756240; 942542769; 105139776; 146082228; 884374204; 206648680; 896283656; 902763407; 1058596626; 281997265; 207274485; 834080317; 350681009; 345567130; 461346465; 607400172; 904814411; 205337251; 946573442; 972909749; 863177790; 395124772; 324628775; 475931831; 111364736; 235704963; 887396490; 636234524; 685096054; 418887182; 1034937959; 899979987; 449803837; 537584885; 220577435; 79503267; 1000303171; 602721348; 596166321; 422955187; 1029350968; 800022801; 838669385; 688577922; 88361861; 756609746; 495600727; 765097755; 353914227; 247799699; 1001308053; 229150183; 1072941851; 350080771; 768606730; 15195600; 180207152; 256872833; 278957788; 133393654; 127164511; 824902460; 641714060; 497496130; 751188769; 737955970; 458528557; 689363215; 859854309; 891204498; 757874396; 501494580; 1024635202; 675044615; 64945681; 322142350; 808286230; 788862912; 832528659; 268260045; 477906749; 1068649461; 527748036; 903085168; 84663011; 149020452; 928574007; 660734435; 733107479; 946677458; 1008718791; 868776649; 311129858; 342142341; 958431513; 231082634; 507163660; 559914743; 571208256; 459576226; 191334345; 144382674; 551698349; 362005129; 574556756; 92388012; 104332961; 15436273; 1036894178; 125009898; 482776996; 718858296; 724703518; 79939537; 272151301; 1059200933; 646790242; 81184023; 875734828; 1036444325; 596278680; 114432536; 118797552; 493572524; 22245950; 95417717; 276100389; 545440843; 906681936; 175410900; 86547628; 756125742; 411648210; 613106015; 808224165; 892637407; 242680191; 426340251; 1056989004; 913566885; 907722624; 202692117; 374936437; 167680729; 63951881; 462529117; 315804343; 136278352; 760626496; 522171718; 689059028; 1043053916; 411600649; 1070747233; 1040420572; 686739594; 901562290; 1016290846; 473119330; 533564107; 673786602; 883606684; 400523733; 838242740; 904584824; 241531649; 659238349; 937805940; 890851545; 291414055; 153023220; 41284500; 188648704; 840325699; 460766509; 467281741; 371708927; 198928794; 790608315; 489001524; 537609956; 703110924; 441764308; 196421578; 86320829; 813024814; 28237912; 1069106202; 1070102054; 995991135; 848098288; 911475530; 938674250; 45237775; 602492140; 66572608; 306531185; 854077301; 946790637; 909576767; 912160323; 19337711; 750073535; 792745793; 782326089; 45267616; 257709294; 968860943; 731152893; 742421768; 930514297; 420134002; 83412198; 1018203328; 75766279; 568220260; 685700832; 507392854; 172500445; 333333713; 336863964; 975029990; 424046872; 541339979; 82320843; 665691987; 864982499; 911338942; 892182032; 145925960; 238824082; 1032919250; 813938904; 262024975; 885407220; 4152665; 949120590; 282185478; 534779423; 325858829; 695204034; 437227148; 802692200; 863493898; 761649208; 735014796; 121024565; 924830454; 4272487; 976527497; 1008384144; 593995668; 18231225; 458161563; 645565712; 24783024; 540353241; 1057708306; 959029057; 131408972; 740103552; 885597319; 246375516; 463267793; 74237511; 867413694; 37263415; 293531123; 428585209; 154435109; 135989462; 976995788; 202170848; 190779845; 117353732; 912874312; 44931962; 164803625; 157906286; 236444493; 983084347; 176116016; 897083930; 735951539; 827634527; 265650187; 127101696; 136379245; 330296780; 195656037; 877240830; 359645006; 1025772661; 788028549; 596038032; 244896409; 564208413; 648000531; 614149355; 974480719; 1063169332; 115885548; 848490209; 757876301; 567545330; 163383762; 957647701; 59759856; 388288298; 556183788; 85124090; 820952589; 445159403; 765894246; 199311285; 761168584; 868726464; 486210620; 947282484; 29011910; 333060701; 933816288; 322648214; 617935622; 329689165; 1042558050; 459041972; 927657368; 885377210; 37952985; 265153642; 688013664; 265462268; 204040915; 780962530; 28215595; 760867448; 621170299; 227170951; 525557577; 659052475; 429308256; 1045062839; 393018051; 98869425; 191533401; 323710333; 879825115; 51606565; 114629174; 241501260; 448162304; 78264519; 59451756; 4631369; 959821937; 874354414; 702704729; 500850119; 38081117; 677125852; 965524774; 910561555; 350582279; 117756604; 1029565808; 1047224394; 323020672; 412698585; 797832231; 436653807; 191139626; 1012520346; 120399972; 652673520; 130158967; 867767290; 608059051; 356551871; 447019994; 94365653; 102389187; 173571065; 1058405675; 667741679; 702863133; 334546122; 366311983; 167395652; 488963930; 378265329; 600179117; 615165267; 351821315; 439894079; 837303339; 364607426; 656150997; 101065267; 386905660; 950497426; 918874419; 809559347; 1007370360; 976077438; 548691251; 330740920; 453556100; 1765886; 802819985; 110397366; 1014379148; 1041152521; 184405523; 995853105; 114186989; 985906860; 625852136; 699309784; 916691107; 750910830; 381329518; 762896623; 473986081; 1067616327; 393008830; 696910005; 1017523954; 1016867762; 812934867; 651984663; 425656015; 1000638659; 544860852; 930271242; 390553926; 1029342550; 630293448; 609255260; 994792769; 894054932; 479427634; 892549407; 978804385; 285916425; 1021282513; 283350131; 474360382; 311575040; 901257647; 676573687; 173009609; 126539271; 834343818; 886652319; 56056200; 1067304009; 804905417; 978032289; 428291949; 405301344; 1039421530; 341931567; 1014417736; 1019238289; 116486806; 636752388; 478102360; 517351057; 942915356; 774027278; 767476394; 874017219; 303534017; 452583716; 368975805; 866601828; 446155558; 201701787; 363935760; 406466683; 597277670; 318951201; 858606930; 279254869; 204405192; 224065323; 708072232; 62903084; 832892813; 80954934; 517562947; 269808263; 316345021; 1041370710; 667101100; 215421588; 821903370; 998666665; 199401548; 406771373; 346371226; 966599673; 992261498; 147926016; 1054749521; 544684349; 602719041; 639031464; 1051598856; 641444288; 604949682; 322789664; 45655521; 981850625; 1019856219; 132016486; 13642055; 1046758603; 320550187; 384483092; 792534003; 188041785; 395591016; 709238267; 532104565; 701376318; 956827904; 50973547; 56487407; 909939911; 148647848; 865169310; 1073174884; 680812236; 1063307020; 478257356; 459604537; 32051725; 998201997; 757918623; 396928241; 630287151; 965522774; 706668716; 842902365; 112746808; 294857342; 184622767; 292780818; 503935336; 516722336; 458051436; 1073061212; 459248183; 394215507; 196297004; 275066681; 1041087766; 969634629; 477225179; 155896441; 547986429; 830954059; 156290475; 348476985; 49489617; 665547472; 20478161; 678329551; 707206171; 907252397; 108289678; 530478451; 622751787; 968242156; 1039144195; 63873387; 647271977; 310215763; 1016130083; 520217351; 99543381; 226859108; 771923010; 102474289; 475068724; 744692158; 907727199; 407302914; 699701; 515954926; 63686849; 646465161; 245430208; 144813617; 68080469; 433344193; 876850735; 80088742; 478540497; 523047113; 838533683; 405565530; 54542111; 28730251; 1035384955; 817690396; 332611669; 135447388; 899509771; 204354975; 750125837; 794137314; 541662475; 919828163; 571964469; 318588796; 569240994; 207408940; 1027926494; 831920991; 795617930; 631301463; 403063483; 9164978; 196023988; 720055762; 426808492; 857678595; 92668491; 290262678; 323516830; 498158021; 711681645; 372527655; 921773099; 503476504; 516503550; 433211347; 423692532; 249114163; 196572655; 44826522; 330095243; 462229671; 365482934; 269870096; 237422609; 1031584149; 690680233; 492659605; 498256858; 567120853; 32218617; 751841241; 330857277; 673119061; 472024854; 914967813; 1056741461; 213656207; 840443418; 380921728; 367551088; 552351863; 144268303; 631178172; 402479151; 303815564; 502811271; 605060148; 243962871; 690078353; 381384756; 336268313; 706399945; 463758777; 718532490; 560196215; 597183670; 41498650; 502084776; 1045806763; 172264484; 279109566; 1067521623; 239496561; 19087673; 851442924; 468524124; 699492627; 774082450; 702582943; 410747598; 141107904; 818053967; 1047450493; 191294501; 1036937832; 879608749; 848141060; 141332353; 506405659; 257105482; 166959398; 693742584; 782041829; 816094667; 382733590; 42404851; 27276744; 153352015; 726562697; 975117393; 229139514; 599539074; 699222843; 333378948; 754647897; 50522151; 1072241246; 523844682; 782103865; 575662758; 547470806; 823956824; 184634616; 1068169426; 866207914; 5726765; 602476164; 201577920; 883330613; 753089135; 601273908; 496589692; 750025613; 311644957; 509345936; 758162958; 556488166; 17924996; 629007566; 886462095; 247618261; 718486284; 848004598; 18923331; 1006220439; 59551421; 512526668; 793080522; 532016392; 1036583941; 837940859; 414861971; 955668865; 973765376; 100848237; 485332470; 209384819; 1006044796; 938311915; 628355159; 43416730; 346480938; 241835535; 820624958; 131445173; 992229376; 537827163; 411383675; 558960650; 584856023; 899569850; 919828235; 513198745; 723444123; 764615138; 579929158; 641487844; 632576358; 586275133; 864282213; 751368396; 851100563; 597518202; 736289061; 9235348; 1072744739; 894854028; 783863572; 861361760; 261568916; 1056721875; 948849784; 829593050; 400142023; 628171226; 567103182; 599802284; 916055692; 843368; 413955796; 792196918; 444325032; 335524814; 327369638; 722376603; 590584846; 1059512505; 781988696; 895621932; 81065627; 218596328; 103392005; 331144466; 795079886; 202394498; 429375372; 58243528; 1054610490; 646850375; 928461783; 535224486; 826124810; 903479711; 13730981; 885487996; 98537985; 938170305; 468582062; 972930119; 374376496; 6499822; 1018182136; 467078300; 1070401480; 36489390; 43904122; 195514140; 274463545; 153947958; 840653719; 488998334; 642969383; 629825590; 1024609313; 47745660; 46125954; 172567524; 561011370; 932164356; 126760758; 773835555; 1002054338; 467085693; 495218858; 472117621; 778037985; 711180673; 331977673; 489258054; 232351768; 275713920; 477745742; 35705111; 623814378; 623343594; 96268568; 686869848; 678306769; 662110650; 519532963; 436647895; 154101742; 887964946; 456372916; 464310315; 133017651; 483402985; 878169910; 1039774790; 22888823; 949784682; 1053700573; 716924967; 371499486; 128175944; 55105305; 856781844; 1051184059; 229172521; 170466825; 783464039; 375487540; 1040361647; 426782223; 518644218; 994320437; 518618856; 68860259; 240853130; 985145932; 871608482; 649532073; 902136296; 438822811; 448407571; 673392342; 409760824; 513368089; 104014766; 333544757; 792479102; 440051256; 384745791; 988113697; 988313292; 900836676; 457972553; 116556709; 959075798; 942296295; 603024210; 867248992; 148912536; 895439697; 1058716882; 383269159; 332179956; 551826665; 536108064; 257466524; 938189878; 548338447; 301907092; 561791873; 958130591; 199730924; 296891050; 574851366; 740170359; 925691442; 10142283; 834737865; 742272102; 463559346; 458625129; 754393896; 535420529; 105278439; 442909553; 1057662253; 923963336; 374751464; 625359017; 391815351; 436717696; 1036279238; 210659930; 941368120; 144071469; 1053517044; 1007660192; 861031701; 241717611; 158821741; 1015584209; 987887242; 975410837; 241168813; 791316620; 697624712; 819282912; 861232442; 570058755; 715789422; 995252209; 358035100; 1037959402; 9702677; 109806100; 589459004; 881453167; 150388418; 356125445; 984615064; 439198202; 575536836; 524421672; 845347666; 603262738; 95714154; 764224136; 427748289; 1058822440; 1056841411; 582775855; 13411596; 840552647; 7904471; 404645931; 1057880447; 1039864101; 756979400; 689346171; 380625177; 1051781235; 1007457549; 1062654678; 330540982; 416004488; 415218415; 608599363; 133818124; 777695237; 955541395; 730824746; 72896411; 275761939; 114774896; 148796783; 790156405; 700549192; 792641827; 1006066405; 325901201; 310313467; 1071207615; 337934751; 5200948; 389080768; 761052176; 749427304; 231619996; 454413742; 685537699; 1068864860; 298369627; 475151647; 906918860; 896121383; 938955245; 834969300; 377206837; 1014976980; 78554794; 526994162; 831360687; 294596972; 463099840; 818663331; 659124216; 968282879; 1012509457; 269171945; 457039887; 388986828; 299700588; 903732665; 875833445; 234509042; 124821592; 944689553; 489448975; 547690694; 180656542; 982098443; 362952081; 804027506; 36036604; 593647880; 274718026; 656091375; 450347734; 251032058; 259023337; 930360708; 146446979; 112523151; 203242612; 609195277; 819483965; 663731054; 443511094; 841198497; 945923450; 796780594; 570721859; 116140094; 58253516; 358234129; 68394961; 432271438; 13485936; 882941555; 760416778; 278726841; 460243171; 402690243; 98690311; 587510992; 21998442; 103263379; 975445250; 671965386; 738567299; 128047484; 297644954; 684454675; 892596096; 659950651; 1007646338; 202282153; 507462707; 77529188; 598055038; 646242279; 300020490; 142356782; 253286837; 538895655; 169222837; 634020575; 340011064; 68277578; 849887899; 199114421; 718926695; 886424524; 91355033; 236572139; 389432890; 764311878; 351187123; 390899629; 662926349; 830079954; 827422916; 822710548; 221055714; 484854528; 882445677; 326900077; 654694288; 655424790; 445657600; 191192902; 497615043; 489936208; 242605433; 807929258; 712506785; 359875529; 333177610; 443378306; 458432342; 640821150; 761117691; 918485007; 610671400; 518282304; 42608428; 109141743; 738953392; 903640732; 728941016; 416468960; 512055860; 966039934; 557684641; 1036704364; 108252407; 453920929; 72549276; 948372757; 128581202; 19681399; 926067154; 864112289; 889707397; 596494780; 46129918; 977024893; 584055900; 163240893; 1012486513; 365247922; 661920284; 690964455; 658447659; 209601276; 421711028; 1015636674; 80279300; 113259763; 945518438; 357269111; 709986511; 446382298; 485585660; 51057082; 652057877; 253429018; 956900876; 174605807; 418107341; 209220719; 882634077; 847313872; 460345028; 958087926; 56413364; 592175828; 247664230; 813333896; 552270417; 373436312; 607819613; 185737194; 616124973; 417767702; 259280821; 522253081; 140347608; 537698308; 618575186; 259434196; 57741619; 185894897; 167961452; 302997223; 161605487; 383988241; 885471343; 349942158; 553683678; 677646926; 445307810; 396226540; 853142477; 577222660; 237143339; 318756501; 233162068; 927110654; 715169486; 285532084; 300718331; 99202284; 747021667; 119584207; 586541812; 1034146188; 994792163; 371249652; 349491977; 239157687; 194314987; 330067962; 525831903; 1057403255; 40811621; 869700005; 945421210; 50214760; 308861778; 603845563; 117155655; 62345732; 768066529; 571708524; 493314276; 1068264312; 1011862106; 1051909146; 793128917; 486953167; 740778361; 322574635; 56182013; 1067240020; 133700803; 222141885; 577360727; 830040932; 726133664; 648305808; 313084235; 318371263; 570992501; 233068422; 1050271534; 656153224; 35184049; 385704676; 730412108; 253256222; 20256150; 144709497; 312147564; 515606740; 506283203; 1046640670; 873047812; 514714926; 259327251; 228942343; 644493107; 65015598; 422025618; 212765078; 553317628; 886073587; 586824698; 432051380; 161340433; 500236307; 1012918111; 267181033; 367155511; 282408882; 365131815; 971125656; 869184359; 999310439; 465649556; 1022740719; 800162035; 697665678; 218175348; 529321875; 513684307; 929753908; 900985651; 414086653; 359033785; 161046728; 411260016; 196095111; 36878549; 187369780; 609753171; 41502512; 182210793; 782975790; 311852353; 21996096; 22018884; 210728528; 620095188; 518130415; 559554884; 83686961; 181226059; 964724291; 293487514; 935772526; 125965959; 681419837; 845933451; 358744348; 899988039; 669596908; 373634799; 324125245; 636492295; 8834193; 786863255; 462741378; 148311937; 801836361; 984359715; 457706433; 262226942; 262531215; 222589559; 743580762; 321906467; 32206263; 967168361; 691675788; 63490187; 342254515; 308650969; 99844679; 294894228; 888970595; 746212143; 245123102; 536967361; 158352359; 589017816; 955248046; 404265246; 1035048424; 610211948; 342964569; 64300979; 343177728; 24234982; 145609288; 15852509; 85102166; 105423097; 897600755; 1010440043; 1069715165; 1032185899; 882646099; 697877593; 66001780; 162820342; 401757391; 830141980; 479229775; 820331869; 250115777; 209407916; 166716179; 852500795; 193300212; 437972548; 313713997; 183574580; 269869978; 45470466; 1062434315; 740632539; 585326183; 529472902; 618305442; 983574444; 730092986; 893593927; 378858576; 454188187; 789139852; 476998482; 786805697; 495305560; 762428333; 239882102; 499705694; 250651553; 946971518; 837347453; 345401300; 27428582; 581045475; 36654105; 917112346; 505652845; 987604026; 673247089; 835360194; 889621949; 41521001; 521023971; 257067393; 592269955; 318458400; 491287457; 195030036; 234266019; 152861061; 946456819; 350164577; 450043038; 178718122; 96336267; 490778960; 989161284; 1065770181; 839533302; 525411641; 914551419; 1025838837; 873179070; 19324022; 305127056; 408989759; 961163475; 600666948; 266974329; 922791803; 112284100; 866129057; 717389085; 967596263; 618343358; 559821718; 530050347; 632955164; 686286078; 829178250; 1053976580; 759189301; 320729007; 38523393; 377510216; 398993215; 5179678; 105098553; 1025947024; 937783995; 778805940; 723951754; 42891545; 80438006; 725285266; 614787000; 77370058; 81360751; 383226307; 494430428; 180738180; 313270694; 8303449; 27502; 767908303; 1006024237; 943257204; 391682765; 204726756; 318030265; 570002805; 510792233; 292090165; 537293487; 49992600; 188678084; 923298529; 157216210; 1054071309; 447029114; 685967477; 282190671; 265866913; 828652992; 584864735; 355321327; 1046948200; 371448498; 608348453; 785687632; 675425826; 854702301; 619796390; 758326318; 572420552; 323970360; 674774320; 385703127; 104713989; 959936857; 537894063; 2771913; 160462443; 322028429; 779040256; 960810793; 422015257; 678168482; 57495261; 228589151; 662276106; 1051693637; 206221857; 100945536; 409824572; 350585197; 992786067; 720806611; 776180243; 1025028975; 250243739; 234730881; 652682176; 1045438361; 751007692; 277299102; 933885125; 1054872313; 215151096; 634515010; 114650886; 845229506; 1069983296; 469218807; 854182167; 161526728; 633006850; 435628897; 99302666; 632046425; 861960818; 327687835; 296051330; 766359099; 220976820; 349495041; 481273472; 658714028; 46981382; 572710435; 787574256; 383943272; 1059601652; 628603071; 474415587; 1066467515; 155291280; 73682910; 286674653; 950988679; 484110757; 496316390; 560061505; 647556429; 798343028; 92512732; 162619788; 290332885; 35380279; 917284903; 338931443; 856784708; 170167048; 730299368; 124881259; 141442636; 316736627; 703880507; 110740031; 865140793; 755827010; 106592545; 619135896; 578991996; 568222556; 75463622; 1005220936; 453128013; 929605534; 715401055; 1035056568; 990513075; 408399510; 101624470; 744924584; 256799035; 126627253; 343353580; 607236814; 887058478; 166067000; 869148353; 568079095; 1031159679; 740790278; 947437904; 418949054; 581883758; 461449572; 89428562; 572445827; 285650766; 252101794; 959855488; 627775064; 533031130; 7376388; 804431289; 209905656; 165797542; 614200074; 955854559; 744491347; 492859053; 343286600; 932374847; 848962838; 564638184; 875622487; 352294803; 331510940; 259751330; 159199958; 812863487; 346395732; 95660469; 637161491; 742687943; 1039260814; 579103472; 669894817; 637218169; 596787197; 428850567; 1055521712; 690249513; 480209631; 321479190; 155599371; 662698620; 746002925; 890623949; 771050551; 325756100; 465251592; 379521975; 117344376; 838664249; 723262502; 60221229; 212712368; 245233244; 78643554; 68414496; 728560398; 140325809; 561101693; 395754980; 959211956; 913185032; 829220161; 190341377; 679242409; 900453628; 757023558; 630591515; 499304890; 670472377; 172019991; 392149630; 641139739; 537472846; 795486622; 133271111; 989429598; 725265210; 537527048; 418075631; 66889652; 205476782; 766045221; 396553477; 676081605; 109771513; 196015640; 943488844; 513362078; 835342320; 253570788; 27678836; 675370332; 865442447; 684317051; 553701055; 369274104; 892847737; 773956299; 1045632345; 981328986; 728272372; 373329457; 833321970; 393157143; 44838254; 639783406; 662423850; 647645147; 893050512; 161877576; 352944118; 140238494; 772248233; 959071092; 685963187; 19319190; 696646577; 458768586; 553707278; 278262679; 488886129; 973736211; 360864105; 868867938; 75120155; 903110348; 147203017; 577496981; 220443676; 529403342; 835208324; 425538377; 92652456; 507849310; 612581431; 165862471; 221379590; 651029974; 907394046; 145023165; 640678574; 435127736; 211837273; 924405740; 281397692; 254634149; 932880076; 805339414; 614699985; 38371192; 171602576; 33028273; 906520440; 488588703; 303472008; 23843679; 509656032; 712689089; 189085520; 31525990; 803901925; 48628186; 762859743; 575012455; 334860175; 919618672; 372984184; 485439396; 714157649; 478172926; 317199418; 1049799726; 382923345; 873355972; 124342470; 124405336; 850088578; 517003627; 145757116; 293001772; 693993264; 514300962; 898547673; 405041417; 1013621482; 946942580; 670445542; 995928260; 33027774; 962475679; 699015039; 337647545; 348788587; 837594832; 255077588; 1053610087; 297870362; 406006600; 289966199; 691516172; 953750369; 981372034; 970313227; 799058718; 78999989; 332328238; 769846799; 1006621748; 950061251; 450047864; 277877622; 629627392; 454453447; 77665717; 781898658; 351150135; 248632667; 879563180; 976432326; 727913579; 797073821; 160702194; 929428100; 918271348; 49643272; 264411404; 881788016; 688123589; 36132359; 473540115; 733211567; 433735012; 529599641; 674674073; 358440250; 590498344; 208484813; 112708541; 180194562; 811723434; 605935786; 953627968; 595255278; 1072327561; 397261049; 946619458; 888886339; 752732180; 859167655; 471219599; 815024846; 277386323; 7107795; 293034531; 934047075; 233434567; 282250450; 903896347; 587784875; 1028916842; 641248769; 1024782536; 490079871; 996464516; 614644856; 1007474012; 551338019; 741094243; 207954702; 232291528; 527756084; 797999186; 715986709; 694494076; 625580788; 241347413; 972654106; 957680420; 653943945; 256126038; 524027737; 396521114; 166496837; 663261071; 351058314; 660530959; 740998487; 502339983; 1057023503; 442790006; 774908502; 793173480; 32418308; 321031161; 1033116237; 634199872; 852947138; 625319780; 285072872; 128294197; 986058488; 733764139; 687444899; 487615871; 80306567; 692510712; 922303581; 739926736; 639830537; 217632788; 787679609; 995493670; 898802463; 339505050; 1034835604; 1036223159; 332130915; 661651531; 315866466; 127879101; 619234801; 149197163; 598712826; 453324228; 892415529; 1013929021; 89796210; 788832645; 913396429; 972688255; 648065500; 644409308; 266807440; 935715378; 272542077; 409175579; 8312869; 167854160; 882123179; 1006633765; 717923695; 946657830; 517800877; 502492918; 837797295; 982583700; 1073554255; 229874064; 532779469; 586858508; 72117497; 1037827448; 332824369; 242211377; 841392761; 737160226; 274136016; 49992652; 477799272; 193046084; 994794262; 453715177; 474555361; 1057418139; 997126647; 905096795; 452497264; 972477960; 123997394; 570016746; 747789023; 992284867; 11942209; 1009885257; 936455028; 402245490; 161195517; 170366383; 557142352; 1071457288; 62190473; 857138186; 254162897; 293073712; 959468707; 329663013; 79465385; 941978606; 682492905; 555966915; 53479734; 543749398; 1876633; 596174573; 652998227; 347966126; 166084577; 863877109; 1044641660; 842871602; 77004745; 412575931; 371274880; 496251642; 135760458; 343799127; 251113375; 629952103; 241342078; 755605836; 1004744082; 864649890; 854301595; 837887936; 928772155; 99441550; 242860087; 632833548; 1008539332; 590514908; 399367755; 644134823; 921318106; 188578674; 56312394; 999243163; 724415709; 159959390; 867691062; 339076869; 247792178; 375734999; 685451603; 134691292; 737010187; 935502463; 850104784; 234274315; 35544382; 444440365; 651001627; 1065262386; 287883393; 962835771; 479865904; 752923597; 748870628; 459226829; 429637241; 842061545; 1014238767; 725809663; 1007516751; 287842744; 589839788; 280538812; 561734215; 528211334; 1040313888; 397713895; 763108917; 634095297; 7828199; 8601854; 713926039; 525925850; 497196717; 121565112; 403737352; 356418841; 402790040; 585367138; 478386186; 936237022; 411204321; 669292609; 645252020; 415109212; 153639421; 866130222; 668539761; 1039490650; 742221501; 243314926; 884989671; 1057502995; 353246440; 747564161; 309353092; 719099713; 808020430; 31195644; 1041651791; 923047649; 369858621; 856100914; 79576181; 182204285; 543252475; 948307147; 266433058; 569862720; 235916286; 29124489; 81253649; 25260801; 238929542; 776594038; 1063065715; 674123330; 48994419; 208888101; 496134754; 359025852; 1068942785; 241076994; 296553065; 427948260; 1071573402; 571906450; 1051116489; 841857991; 669918729; 555387258; 576181664; 341467050; 188454460; 404220724; 513469734; 322563479; 901205040; 823251072; 1071638574; 1039213373; 521715397; 284613160; 826244161; 764054580; 711677249; 497108887; 656283793; 603403530; 772686314; 260093171; 765277570; 549413679; 669910293; 138697252; 458548097; 661857110; 16068281; 844497945; 876870729; 617514897; 754273395; 545402738; 111195360; 281840851; 680912178; 888335257; 942378834; 80586876; 267587770; 177769690; 614718899; 271219201; 45381564; 342535011; 5358735; 594854234; 874008040; 408222757; 132524289; 914664455; 1040320335; 192302461; 214264595; 698289654; 552944637; 34533224; 659464290; 400443021; 653254081; 753269111; 1034256068; 691167857; 49121838; 1064031441; 765693068; 303667538; 198350326; 511775035; 123186040; 286380289; 416026126; 498516362; 132970142; 453336513; 566768638; 243691903; 369108784; 121799237; 260715453; 104716625; 47320240; 913535846; 637526964; 134478184; 380441164; 266854268; 940025274; 409366028; 291316191; 872849616; 982443209; 174130219; 539873008; 238512054; 80207134; 482745671; 999788621; 659991354; 123902794; 343006479; 699598941; 621167290; 678823054; 413472026; 669815686; 651154927; 580099979; 108170122; 949070664; 566548072; 147013970; 546900; 165944835; 938775763; 595948302; 61334199; 917108595; 1015004103; 250792484; 966782827; 681420797; 962612641; 344238097; 375056108; 569757406; 86715226; 416165949; 535887604; 569501450; 622800371; 93292756; 242487547; 1069458061; 262518717; 542645497; 912886617; 214298910; 641596068; 361473401; 753673930; 544175636; 460211042; 211742542; 360499000; 401780779; 657533486; 416845758; 41460739; 315829859; 719057355; 144227687; 927638888; 535127332; 406847581; 757808122; 466906443; 990460201; 196097746; 188276515; 743100407; 715197638; 1064999608; 985256497; 827758231; 386905310; 950303337; 663426394; 868266471; 935641674; 873959620; 232788730; 788113291; 382971367; 363350103; 1014920484; 164220550; 325439982; 1014654858; 1021781298; 123381136; 441473070; 693526516; 289299329; 916768210; 757743170; 972731822; 810018020; 809545894; 199064298; 138507950; 697691922; 58577788; 792322749; 49964451; 59430863; 1055567732; 783307936; 703711897; 279412876; 743863966; 1057243639; 421064903; 620136817; 338048026; 773357326; 771473559; 926696817; 435349945; 575411415; 441252115; 638371444; 321974543; 865441224; 348489903; 759866253; 119807857; 93853599; 682655949; 125907196; 395650070; 776483479; 924832316; 1047840150; 850008916; 17221919; 366702264; 29954060; 397847437; 57852618; 84930872; 484686618; 615790077; 936150736; 137992712; 266525204; 568088363; 786184038; 363079338; 681985808; 393296097; 43867984; 197976489; 809281759; 16522999; 635957445; 666192831; 423449279; 840078953; 976905815; 1050341984; 716051517; 684900880; 132533618; 865171582; 559517501; 920935578; 558866369; 293447815; 283022702; 954760192; 225015839; 242646189; 945012646; 233768051; 832447854; 966792651; 650404018; 262967428; 835864629; 609028763; 225810630; 362676826; 680510925; 880312653; 526970712; 950694569; 87013380; 683195738; 627879924; 106999201; 274103976; 373516849; 164894917; 187879815; 317590052; 1018471223; 941822898; 831278502; 17506109; 1059065190; 443472030; 739174949; 685838650; 126326947; 229320212; 684308485; 502046504; 470805653; 406509140; 574384935; 457729232; 396887427; 29860056; 387123749; 521109730; 527698577; 693573747; 933637508; 321016710; 90804072; 173130329; 15331983; 105452232; 399102716; 721956142; 412762063; 771116402; 88489910; 325648578; 203834968; 563611408; 117247102; 168316053; 853937161; 641331029; 301804150; 543359707; 938653388; 1058042492; 881922633; 311914105; 263889467; 761275600; 964901982; 345036860; 968048683; 708452101; 102853661; 294661606; 842115528; 152832676; 45834401; 70416170; 962134939; 379618837; 187760728; 331478901; 302847099; 689417471; 784246235; 118456812; 394547258; 561012; 632063589; 653595434; 332060864; 601398860; 206701671; 82517452; 546692846; 74782885; 773283045; 531622072; 811909910; 304672035; 945391519; 185345415; 56979508; 353968640; 332431994; 425962038; 395524088; 584778518; 569012605; 484447819; 989068523; 377993478; 449160127; 324856713; 388985513; 323514086; 1035290376; 972539500; 482143509; 781157270; 719340732; 758961878; 74193005; 742524003; 824693518; 339015725; 666059543; 694714042; 946382722; 119084807; 224469985; 104749102; 594635377; 408975504; 981430542; 14512957; 652607573; 974905455; 871357648; 798332674; 760554440; 161778237; 652033136; 1026754391; 284133619; 687196220; 769325826; 391578834; 922211016; 632847852; 424962443; 992722889; 527165465; 469416142; 4158633; 550137333; 953383603; 625854663; 863642582; 910704618; 350546772; 924203044; 967373473; 113918167; 329538597; 92695654; 707538428; 489276666; 661163452; 1062942696; 570484075; 580632696; 622901025; 775128830; 221058608; 1003722394; 495082906; 696429780; 1017331163; 148807195; 950526090; 538117255; 803832147; 140335666; 173797382; 1021132314; 13997135; 586030379; 383983731; 650614776; 161674109; 795195240; 551064596; 413223545; 616884811; 977402349; 1009967044; 159663523; 148062916; 743725929; 274471378; 23811331; 544438535; 884581685; 722916688; 1038353593; 60571891; 138836594; 192223935; 407112008; 1026748727; 8858977; 420309577; 302491047; 764808705; 95943751; 294972108; 542548063; 762282278; 72139570; 859339461; 576750900; 821288502; 524713900; 867601576; 360344452; 815993327; 359260352; 724237074; 885310967; 448500172; 748157585; 322977071; 833082144; 245831646; 749318512; 944496966; 613266239; 973406438; 26215538; 1036394238; 238959386; 814108487; 592161913; 996506153; 952928018; 735680911; 109538699; 952587815; 901055057; 154082054; 903547153; 869331415; 360266568; 921294200; 154015063; 26523158; 722522507; 625988547; 247917682; 857067982; 1063939956; 331861340; 823357275; 509938683; 1044399342; 872283724; 1048430257; 716845368; 822041816; 581623567; 675936766; 1021434749; 661661761; 193324845; 718693394; 94844995; 325568641; 151114428; 544228336; 651178055; 1032437083; 830134431; 753291568; 533774723; 36576418; 802420857; 1070954630; 991027739; 989258135; 528927470; 1017954259; 436944027; 784469212; 431575888; 876170724; 831310297; 577693671; 209494297; 590917059; 788058778; 298444232; 1009946945; 1006350276; 928539833; 361182049; 66815074; 479094237; 952150922; 42994309; 269790869; 173206370; 826337830; 882144943; 5797323; 722072195; 130587915; 45046440; 324506743; 220130657; 569112519; 334635812; 556167340; 607508801; 110199061; 735625908; 700345545; 124030787; 64922095; 201257653; 594132753; 386953536; 927413419; 991469765; 454171427; 950680264; 844925456; 93043216; 440567600; 726934076; 886331691; 110192307; 366309389; 35528088; 299602005; 814823982; 570224402; 456945047; 12557563; 922883706; 384906703; 925148886; 157428133; 697594922; 548975611; 748966078; 458415968; 57004; 141490715; 712181707; 93554552; 166518993; 549212609; 834380755; 764479575; 283681625; 240613318; 687947707; 588254500; 642894195; 881557934; 60583633; 108751719; 29572680; 253927211; 877454228; 85579386; 10191183; 302262384; 590829935; 824027692; 496886687; 516093735; 434327232; 205204527; 633898281; 587843656; 979154146; 1062762238; 649945607; 8197994; 47458650; 783527423; 1056644344; 852780418; 621239109; 895293697; 185052421; 279244176; 222550927; 426705505; 747948227; 607365991; 923906923; 675393883; 433538872; 392039240; 411679088; 820885988; 99568669; 753062567; 300655877; 24719594; 693157206; 223170959; 1063306945; 786477004; 1071303491; 879849940; 827935475; 656510171; 197190350; 421639937; 201023286; 217689598; 296963819; 415206472; 748666213; 531413139; 104513224; 597723443; 546302195; 642440030; 849570975; 372046045; 287742272; 924466947; 173455744; 183535278; 839115340; 698364202; 934705990; 870845799; 978274479; 134674466; 992758462; 790855808; 329351681; 330549476; 1048896299; 404420891; 952266146; 624765094; 511053072; 33359873; 667515104; 15294233; 109014347; 555940406; 146285509; 1059365067; 436690848; 371894420; 745695487; 768462897; 383211003; 638411831; 483401169; 772295354; 429257408; 965753615; 293335676; 220306468; 843388732; 923339847; 442860884; 295445398; 78998222; 595729100; 644940030; 215549112; 106966918; 600709352; 743054919; 327168194; 617591944; 332273792; 776802127; 822589304; 452707961; 40056578; 971993071; 380837529; 531288019; 213312967; 137996945; 281850428; 70223567; 675147739; 504323074; 1067474818; 228552711; 728967315; 448778471; 959317245; 64107631; 714214964; 597049916; 961797736; 1020896622; 1011755623; 968229273; 990987122; 9706745; 1019356412; 807790205; 130371674; 452283776; 853949988; 8698124; 98622048; 866634749; 169736547; 60504798; 632478442; 607809808; 881201382; 7928422; 936542412; 813295862; 646394176; 66162051; 465566665; 663810319; 123404609; 397326740; 1025344057; 251073267; 879366347; 262958289; 697266803; 64211030; 382811525; 829862885; 703105896; 1069633057; 42282836; 643332352; 503194201; 509555745; 525704991; 259072775; 938489935; 384355641; 197111274; 775308484; 801860764; 613556637; 772997560; 303863264; 55984006; 711042929; 719768162; 62622499; 925330794; 691929046; 700665833; 63997720; 1063610012; 35664802; 20605104; 486432422; 280930549; 971399039; 398631566; 247900707; 343362152; 140426567; 450605091; 569732855; 625220764; 538258092; 302358051; 352821219; 743641448; 66975615; 694618237; 770503528; 616995020; 212395352; 177736758; 221981972; 855874948; 194491960; 258087433; 1004843198; 873376341; 952765938; 69255877; 152831956; 1054847555; 396067180; 906371127; 762028281; 96331199; 319374816; 616370102; 756989068; 724499110; 976925453; 599166438; 570249962; 771704840; 860152756; 242675281; 962125518; 965811408; 900856933; 286955460; 710566134; 993615229; 98350429; 954480687; 1044877449; 669572179; 669799339; 821803903; 355194066; 415114799; 734075183; 560212103; 505556682; 468771371; 471972149; 762665916; 373553953; 458284807; 510947315; 36058059; 622318703; 986177869; 573583893; 300163565; 322485172; 120668368; 891446501; 535186209; 774804910; 626053101; 560656129; 486281173; 913570634; 214183773; 967887709; 883463522; 133617601; 584276317; 400162569; 881492222; 41681761; 36798661; 576614228; 734861659; 682707671; 802118143; 719096412; 911817670; 172176697; 923052336; 528209292; 182972256; 674541021; 465657554; 891345032; 997162632; 387258525; 325741191; 217808600; 89858609; 488770597; 994383058; 962509243; 851869531; 294404215; 576085185; 123521385; 179242571; 638815050; 1070746973; 641145427; 710219891; 152946572; 857062680; 614196045; 57928464; 898113113; 326782182; 267260675; 855807048; 747859749; 758646442; 549142605; 803037645; 228681975; 1031486947; 529752466; 596761845; 312426787; 927697623; 216498979; 328582665; 36441011; 341024909; 813103064; 252284075; 104188340; 215026921; 1016877138; 947734600; 127278810; 561334648; 459480962; 358969720; 599436037; 892234805; 289118852; 291773622; 66169074; 253797905; 252326984; 912169257; 1006844227; 250339748; 388753817; 1072514530; 418660930; 1036847261; 782933457; 725289332; 54141185; 950146361; 965467163; 681055880; 882566313; 990474246; 116151384; 216482640; 987582134; 97885810; 496752665; 657497243; 892386835; 495174498; 1064459414; 347524516; 324160168; 1024895591; 654130882; 662792326; 391483095; 932020378; 13767978; 1061532785; 1028637939; 243286838; 32874997; 241027681; 705622975; 273778937; 16338420; 733716281; 841741327; 291408141; 425151820; 76374724; 680954741; 915859197; 859152987; 638237864; 201985799; 633566812; 369162435; 264965059; 267081151; 354146498; 282987338; 81529939; 1058681071; 440309792; 799173301; 385182844; 288901543; 69060843; 64631039; 78146390; 243208427; 616780766; 353673119; 10252149; 363377687; 139552873; 734306680; 763379459; 551343363; 709661667; 92123271; 397907413; 264026304; 200862978; 289844650; 61435387; 1043399003; 58527479; 617166526; 936363290; 211423078; 1009188668; 355622989; 987426890; 33606313; 557196623; 721616525; 666767430; 1054101927; 506246747; 833216444; 597372613; 1045070560; 161700598; 335731178; 94944174; 1070093653; 738209547; 44454114; 401717174; 142692914; 902972337; 697647061; 240024048; 916702886; 987405498; 705642427; 1005558269; 917353894; 299940027; 555051014; 1060809051; 432314762; 874673096; 688857319; 937677926; 1019676557; 113441136; 836252898; 499347226; 346740567; 754920687; 635281469; 153205685; 823179368; 411584539; 256129452; 78845375; 627730846; 699737057; 817587806; 18999412; 585917700; 77084416; 894023822; 688844986; 812893325; 8393003; 275330503; 188604615; 953251203; 446860077; 896586445; 335858776; 849071031; 933586354; 688426843; 360062269; 331416586; 815246492; 716635047; 311576769; 987032507; 950220400; 271012281; 1050830345; 236099600; 821527558; 1014921296; 193527778; 869872541; 775771931; 641805067; 971627273; 534094913; 246184148; 154507476; 1041806210; 424116682; 93626866; 552393429; 184518332; 270176495; 508419821; 1042536403; 589270884; 224081548; 511375253; 453663631; 79363462; 459770109; 972267038; 320616379; 763088882; 488547308; 511595609; 44927433; 572307015; 821520083; 887704487; 813678820; 615530034; 754795498; 143459739; 832051144; 878708504; 650346986; 748212955; 152972541; 154766265; 802933922; 824311157; 105365205; 979933540; 38483399; 775680437; 111688331; 449448318; 1060750990; 707146227; 232065379; 887657323; 300854848; 1061281708; 210883506; 585526872; 596604990; 792865209; 721737430; 330697369; 1060396546; 953336236; 237085875; 135453747; 163130352; 873112998; 919595660; 969623160; 419383494; 796566570; 484471602; 817703878; 593875485; 967859412; 116482584; 295475237; 983069467; 1039870190; 43739342; 203411071; 393731875; 125292594; 68932617; 367140455; 436941421; 648683825; 100444676; 1049605540; 115973937; 64073515; 548307622; 572108263; 554580420; 563273901; 338010251; 378146651; 1060159459; 745064985; 414357342; 456133019; 29821723; 31532088; 759581171; 988867472; 254789870; 46264837; 471532253; 623609315; 441116112; 265878312; 745042937; 336390333; 18820672; 78303346; 548737505; 102609618; 655439774; 297346662; 789439137; 600915983; 576587966; 629685004; 911434006; 47433188; 300331749; 1054398071; 980428386; 525482976; 825883278; 660887993; 374568861; 872395558; 86625374; 941268575; 701390093; 1063629839; 980328379; 936625713; 270673883; 566369794; 747882159; 418268189; 1035785523; 144111075; 275714621; 173762025; 115113018; 651793585; 984714113; 100835251; 1028337908; 138733708; 898716225; 277184530; 238730033; 878102032; 440291205; 302260698; 966259930; 475608122; 705535026; 322404090; 919023462; 511634997; 194783117; 391959634; 407749333; 238129213; 624688094; 746990038; 309958190; 793817514; 493932783; 902337461; 719616483; 959775327; 1021916751; 349405120; 122592515; 126499721; 447444853; 104368138; 448940932; 820976846; 28428042; 1052767957; 123757668; 327569203; 814787472; 393438573; 691715521; 446684810; 203243117; 912117310; 7153137; 514099745; 926163724; 966106939; 363513024; 798636446; 861970127; 852076771; 579730666; 462599900; 843596715; 1073634192; 917763610; 400709794; 809232413; 351895233; 379710983; 322313965; 772242104; 532644754; 644661365; 802318293; 25112306; 1023309210; 170110188; 136831270; 357577890; 988102057; 33750854; 11666126; 997722987; 507684476; 624333667; 587135338; 38263300; 466249736; 379421712; 750441800; 405028758; 818584332; 605608606; 68718472; 777334269; 47311534; 150750056; 1035356472; 247373012; 174562784; 544740467; 743913909; 23091441; 434994676; 305998696; 905210573; 73326876; 382775369; 841075484; 702879045; 959703547; 286739183; 311150905; 171116065; 646071238; 613382202; 136326131; 184925755; 859343899; 766500016; 409683923; 889942595; 861427415; 966831817; 59397873; 985844536; 134580696; 438028924; 490415079; 306266150; 578646384; 271179932; 36964895; 550878799; 490103781; 24222468; 570030563; 1003718521; 30394652; 799745393; 192379730; 771678149; 242584662; 282498279; 573772578; 945774073; 918114179; 560017192; 951631539; 429012236; 572986623; 852931904; 873311058; 765613652; 870886854; 759080327; 358772984; 100583000; 410031336; 362228533; 6974865; 751558255; 999813524; 670155733; 1045605384; 624840956; 259871977; 872547761; 795521772; 669568744; 170797820; 553867533; 1042393434; 45734698; 829495211; 931776062; 1049346923; 432760618; 194984044; 443494465; 101124721; 1003367069; 576050335; 274333052; 818012916; 378965891; 188828618; 297857365; 108824968; 396616544; 610375747; 473628334; 490270740; 953836564; 1013632357; 851786691; 211615210; 978883943; 837920175; 289105504; 186809326; 878375298; 469060235; 383505034; 827740111; 12661234; 60141882; 774743592; 501968284; 1014654830; 188167451; 325792227; 888563336; 343313509; 294216813; 299283944; 638063566; 166340113; 1027551693; 596444964; 831268984; 956344377; 453427999; 696784702; 492389094; 407372332; 12478172; 249532730; 343268606; 381014907; 504776415; 644435418; 399212712; 190938943; 131696964; 948915680; 920589518; 203307319; 679807495; 1062590163; 35069251; 63306816; 389144319; 981517831; 678093739; 260821683; 71379607; 488745986; 846261312; 1034393005; 389237436; 191825400; 851584442; 633930702; 810769464; 702225778; 685154018; 757753947; 151898615; 567052623; 736501170; 639010081; 429099603; 348540674; 517469498; 847599874; 885726199; 125732996; 935752532; 1052304815; 450193287; 491680266; 298694819; 508732703; 1043288724; 880517785; 204765790; 250232309; 157440644; 590971583; 452905347; 222208151; 430058541; 38387094; 892394652; 653420187; 323287660; 4454465; 517665361; 365094430; 975402194; 977265126; 1045395589; 1003989336; 348636010; 495124985; 1029678198; 650349153; 704107157; 569836806; 1044788691; 292843096; 135708056; 55466023; 34136157; 674643007; 602557920; 797610203; 931100767; 914977670; 45879090; 681900337; 69838489; 579009530; 864776742; 778656938; 735435732; 912302706; 902807610; 614427568; 492016495; 790842193; 169277201; 635656284; 924656783; 843211188; 290374629; 135371948; 289173701; 1000631451; 488832867; 280583404; 883634314; 510207604; 1064477556; 192517448; 664063305; 562659793; 472724562; 221343140; 485916437; 498013307; 371150716; 964457125; 175050510; 209144851; 208042110; 914611268; 783085050; 658191207; 252379876; 619582801; 254483350; 980703680; 134238430; 1060832109; 122899830; 569873111; 838241375; 589904965; 767454575; 624495804; 216428957; 674625008; 377812600; 1069640744; 1041415133; 519567004; 518843787; 661168996; 615045227; 651090705; 944170725; 659389024; 763440301; 690679058; 448729735; 229930626; 220374868; 901548041; 392049147; 375922011; 426601609; 69067211; 426985324; 213932726; 361848819; 685776121; 632594839; 253434820; 251642111; 465659408; 60588768; 861336009; 287669788; 525806049; 205549648; 497284941; 509738202; 995086695; 826063030; 379920629; 84949433; 567188086; 1071966263; 589817474; 403714842; 822738645; 996990723; 816003962; 835402456; 990060175; 717666282; 171025586; 775026002; 366146119; 789796928; 669919390; 376740087; 675588729; 488854687; 958444007; 1072689844; 925273227; 978189005; 862537099; 1061322716; 974546687; 298347286; 270072016; 15730456; 416484431; 872070282; 854411733; 515016581; 1018904282; 873755621; 608349154; 852373573; 28733098; 7559609; 67434263; 930932585; 344022428; 152019506; 17773403; 1033416057; 848616725; 157030796; 707438990; 17661362; 648101091; 599274855; 755142035; 758560286; 471174205; 644947146; 339538813; 1071127245; 375396249; 316707661; 546108537; 161448839; 137154495; 666053105; 834949548; 573827686; 1051550276; 150765609; 12861302; 842785345; 642416950; 309705489; 956452780; 469132216; 433559349; 968277876; 855331828; 848958086; 645391362; 488127793; 408499153; 869644543; 271966065; 847354235; 344360072; 445415820; 391205316; 244277348; 25439310; 723964295; 421644216; 274638380; 50767429; 425985938; 288693482; 332306225; 773186075; 167260212; 182850497; 445716799; 40863499; 501795227; 807440614; 529525406; 210473485; 828902890; 393603062; 125563320; 590699081; 804063375; 953856890; 575491304; 590184864; 444870488; 522976953; 590278332; 921137905; 424528809; 213194811; 276422610; 374196372; 230650494; 1030730450; 426797151; 212798709; 88713837; 454075891; 512544919; 220896694; 13032861; 592530602; 971706055; 381505611; 747935796; 294621540; 417643014; 281326593; 780796559; 26932702; 605888607; 819250750; 684000076; 702832202; 720719014; 35585340; 966614657; 963461710; 634511912; 235208804; 249503019; 28322614; 109305792; 346101628; 607874013; 971388899; 989797354; 622252281; 164294775; 56940141; 757039633; 588346377; 654199376; 260705746; 198330677; 945099577; 34996477; 108970587; 832416779; 857360280; 345788177; 448808126; 270277915; 610863905; 176925124; 960536649; 779302660; 1066454839; 804664309; 75409402; 387916315; 507833499; 878118215; 920093764; 121128619; 18013893; 53878556; 564887500; 978361897; 747665137; 323182798; 358389419; 851495953; 415929952; 463930417; 720715497; 630330915; 136773943; 226631642; 182519769; 896358780; 595015346; 439875079; 252952452; 297003519; 300927039; 57977311; 154968961; 617883879; 266270037; 670072296; 3162781; 739820434; 822130997; 250765307; 823023714; 542320558; 417276459; 1027554992; 37100304; 768400397; 342647343; 434704471; 667539422; 419740970; 647595312; 375219187; 850244388; 246043808; 562168389; 512330103; 272914296; 774427286; 226046716; 390259345; 857604430; 682182498; 1045546324; 971044168; 443350065; 343522012; 227222695; 247366114; 1012259043; 923032164; 851997570; 313161983; 285057389; 1025136568; 997206333; 176394912; 126395973; 444162491; 770521988; 1017839971; 528810768; 505917084; 626698754; 225008145; 852758615; 487277150; 969359786; 174463098; 382951318; 509132923; 1002458659; 981832563; 1035456787; 626333936; 14538601; 487156893; 719483735; 249341676; 573663409; 877482377; 610426987; 963514470; 807698540; 837882631; 353464454; 294636759; 306115771; 304919573; 6528876; 808225972; 992842031; 79021131; 575371324; 323140268; 1035467794; 207944610; 889593942; 611397218; 400871995; 833743718; 176731855; 776146904; 407045815; 151646007; 519341067; 257293674; 1053113716; 223350419; 362961152; 690481614; 350745883; 124017024; 526311526; 655215791; 859487999; 338055494; 44733119; 577183143; 158647551; 917257437; 628910244; 382269707; 337148231; 179823901; 89765989; 601422677; 138435986; 170155582; 636351496; 1072392963; 1042168045; 331399110; 790422927; 289590284; 1042979508; 971634733; 643142678; 466017848; 328536640; 659120262; 679555705; 258793022; 210154492; 280942383; 56698658; 855973784; 64029802; 404711962; 896961940; 344854723; 907567585; 630710997; 818009193; 548001365; 828208875; 952527449; 217034245; 401819200; 228882470; 279198023; 172982747; 168969135; 518179507; 887782699; 1058796905; 182061200; 1057538402; 801910691; 167880419; 697296169; 610889152; 868794019; 1060616015; 222452391; 636093136; 813168569; 422033835; 685212529; 450585610; 156295264; 606165794; 794932479; 520275003; 837539274; 900395700; 909941020; 588237014; 1054866488; 133789724; 1026586756; 188518640; 625498353; 609331371; 573588846; 795103680; 283149638; 875620765; 505200161; 948521901; 144310996; 841465861; 307323787; 870898762; 173733421; 423522302; 605893460; 961803109; 704680918; 6154932; 886034732; 496589261; 579998380; 902282742; 665908094; 979826424; 662453141; 611988404; 780658158; 534242322; 19350871; 716439739; 681694802; 704093421; 557405053; 337585128; 364028950; 181166006; 760527058; 891487781; 238630560; 662406555; 836972412; 796061906; 694718820; 758007001; 341169186; 61776633; 13853867; 364213485; 364671618; 681710435; 661601437; 336150593; 14437103; 817007640; 444246559; 97477237; 333550586; 510041115; 272719756; 150907244; 886532341; 8459999; 408292469; 897458370; 342617494; 943926831; 324174891; 807388846; 166808104; 736093804; 397830098; 154984235; 734035282; 1041092499; 493285853; 588379780; 434482389; 610457792; 1008092958; 642693423; 1026301193; 1028003079; 212306287; 1019679409; 326610276; 602330964; 561631661; 853230824; 290712630; 131840084; 520261923; 470955294; 316120898; 976833985; 936577156; 242376626; 112688451; 470314443; 619302614; 190387238; 467616186; 869378401; 624684654; 906361487; 339896752; 69486683; 761542680; 398891641; 51121558; 18621142; 1010284817; 134316183; 125076535; 696029874; 968363100; 284214432; 699804107; 1015857724; 333872850; 106804091; 308120863; 980329604; 150486121; 627905523; 754109304; 48085113; 286846650; 670288301; 1021250654; 462791759; 216486443; 96310925; 81225754; 850425436; 682159325; 694803168; 790661058; 314807681; 1066360824; 866612650; 996467461; 1052168905; 735208301; 986343609; 260617216; 751046119; 543681638; 948025983; 627559307; 829543217; 183401307; 622928777; 430967335; 201937856; 560270803; 762043776; 9490829; 307966351; 859836884; 928187542; 998122918; 118413655; 765534785; 4400543; 211629657; 926187001; 907671541; 713813603; 505035158; 533816759; 21240348; 371661507; 714196798; 1045276913; 841772910; 1021038361; 558764536; 937102035; 185079322; 624691411; 1027028245; 894833021; 996260820; 342670369; 6067815; 332099421; 270167240; 57423619; 246490696; 393139911; 165975394; 748462708; 314433457; 1041879669; 968268290; 988044314; 1068025928; 989086577; 497399132; 157940540; 471685730; 424580533; 418575370; 684317881; 147243762; 1069575959; 69078042; 241072202; 60826598; 184658116; 376611377; 576092767; 1010645731; 994019864; 153789412; 864414262; 477815495; 775158328; 858110203; 14517339; 120637141; 686090151; 26427996; 92187856; 499347290; 287489912; 619183749; 957780734; 931807028; 935588004; 709354014; 990601942; 187506320; 952191938; 608902623; 57298595; 740091376; 394675532; 60225279; 769466572; 951442817; 916018967; 975890307; 666310877; 350811927; 183717402; 215534957; 673647326; 519240910; 899571099; 787795636; 705746937; 405561519; 862462898; 932226036; 599625948; 766997929; 429326731; 865877164; 619843796; 302051079; 186885673; 665342604; 765336393; 823991096; 804743924; 998029176; 798297630; 80964704; 660050330; 312520210; 33047084; 2766165; 1046093271; 651569727; 867723272; 52662326; 375064984; 468685657; 270464481; 695263689; 500199209; 588197885; 516883584; 614396861; 820960842; 454903249; 370258378; 202628348; 100859691; 727511384; 714499962; 273294694; 637239031; 826894321; 74952018; 539545705; 576951092; 320173260; 141597687; 733304390; 1020412723; 481206686; 69990078; 255567668; 56078584; 383630478; 705996583; 716595646; 709982752; 330833272; 442660031; 617485668; 806965201; 517453792; 91306350; 642535960; 83287949; 359578441; 637215915; 848852876; 35777167; 154642492; 691538491; 16126155; 122226245; 966733181; 106613658; 562162699; 701167263; 910286838; 271587115; 503285971; 629085759; 829762626; 29085261; 162105911; 982158024; 5724186; 756369781; 981832445; 819224344; 396363385; 114914208; 594359260; 445863645; 48633687; 315160004; 591176770; 150583393; 314376407; 406204944; 866234190; 993586306; 989956323; 228713270; 851401591; 765702844; 740946491; 217271248; 701417789; 636197196; 234251060; 878980661; 198028345; 287859797; 626197668; 604499837; 943285492; 878016228; 648835669; 332542788; 465714413; 195147577; 612116625; 931671940; 834696557; 438360268; 806895788; 741791849; 918764472; 976030008; 676686956; 33369624; 552042022; 126684567; 410848314; 674757026; 362031278; 237325114; 806902849; 735910881; 746086099; 318698448; 910284057; 914867854; 67883523; 228697953; 834961784; 162519836; 141625875; 80205137; 684063268; 689766087; 74479635; 38413561; 1047032988; 473111544; 721708793; 91615211; 657856226; 851843018; 945171021; 1072214417; 847388637; 729696991; 831985709; 497954689; 1014135400; 157572055; 607591006; 177132685; 953183379; 126512609; 320832130; 1055777969; 72325781; 98128629; 825428579; 612168031; 147503967; 896706270; 436373623; 959750353; 230718136; 538470489; 435133052; 988929855; 59808043; 921700887; 558135546; 46240813; 892044736; 550022503; 165282667; 898741683; 621970465; 310787624; 221669955; 566525528; 238170389; 89043209; 878003333; 692090680; 376192393; 383620090; 162379850; 454138658; 129778517; 1006256928; 338579742; 445779881; 566742874; 716882911; 106846501; 887331848; 1036621435; 981351364; 33206786; 1000605133; 869064030; 623262574; 357749259; 1141680; 371299795; 504574938; 994672049; 987924778; 362647558; 399709107; 893184615; 408365507; 868663078; 377565247; 289830612; 450174554; 34549623; 281935081; 768309535; 238899727; 197528428; 566815492; 373391065; 559659645; 705820162; 1072800405; 323845142; 860836667; 380891762; 241557667; 903106403; 997356100; 446557219; 78318829; 424601921; 660240166; 385939783; 474505648; 28030064; 542338922; 476826618; 861735377; 883179647; 737773372; 362846772; 400520917; 788812636; 68166796; 357514318; 873807523; 541379050; 252582612; 325399763; 435772022; 792224170; 672771273; 742097482; 624127306; 408148549; 290212485; 854327867; 714398588; 765144667; 946081738; 470507354; 161999247; 64823920; 168940646; 537847088; 184680212; 482229083; 113473393; 444017753; 319530441; 635618177; 137482681; 565023441; 968822439; 923232246; 765509421; 31069582; 1017588998; 721459118; 371109298; 216578820; 812678218; 535232314; 646194049; 506907287; 670085227; 276927444; 482573121; 810626277; 800486249; 481177784; 927150046; 756584699; 242411395; 690963433; 370235048; 608177405; 402116420; 80982062; 1054694052; 1008514112; 604281998; 1042246740; 930263271; 987437160; 797759345; 124293365; 151018720; 462161128; 1073100363; 551907263; 907238380; 397844029; 465754934; 315776451; 294983732; 1019159218; 255597317; 486798612; 770571371; 287890538; 529870092; 727582374; 163812770; 388251924; 163308688; 518975122; 681277135; 971155448; 397730597; 1034537827; 421416930; 940232773; 1041707139; 753661246; 96515671; 1056854608; 535366742; 766612563; 676411038; 875207355; 818811014; 650743575; 444678134; 747063459; 72764039; 219880814; 73410333; 982850515; 636460842; 148310250; 1027534007; 394597793; 476256452; 453182091; 229952131; 918109256; 251338510; 715103005; 172654578; 164433104; 682266972; 544096986; 463812126; 796948589; 336157370; 428902254; 337266471; 890531112; 271696601; 652588025; 192687980; 56631510; 577295183; 912178260; 465144809; 215877882; 487052373; 648435091; 849197978; 13550616; 827350560; 38292356; 855436342; 316477776; 726288285; 182752095; 924800251; 751164340; 280147303; 809304540; 430902953; 628020207; 610689365; 694793336; 1071540051; 90922737; 246754885; 343228317; 1035712423; 121994011; 998616431; 986372225; 456328943; 391922894; 982158272; 284181361; 989536621; 1010947850; 241443873; 92132304; 588425227; 747517313; 178195730; 890736235; 892024605; 1020129682; 945328004; 834089925; 28861012; 504480819; 172109272; 124627444; 6982152; 500159120; 346040098; 870230987; 447667197; 678501359; 393982969; 1018490839; 998568760; 172542831; 275257457; 799297438; 891523640; 523436809; 344234499; 882930768; 663197205; 290860127; 468110854; 331160671; 985558265; 1033398462; 427771313; 670177683; 399974889; 790778254; 507421207; 691141730; 609914247; 721560583; 939577972; 803607263; 821124299; 790554765; 329331005; 344201983; 432699391; 459869265; 449120581; 400697025; 982531308; 242814466; 591127996; 708258675; 823620454; 347892189; 511305471; 47203686; 350211809; 277360235; 384368874; 615639800; 910788173; 762780066; 96441159; 439861822; 661410857; 685967677; 224625958; 866575533; 382561784; 832039011; 971815870; 827286774; 74279262; 486440032; 426479968; 393065070; 207075754; 293426948; 93753315; 1010523068; 886325078; 858738676; 101103548; 587763687; 1026574424; 1028291561; 206263870; 498871434; 670769031; 504735728; 194945828; 151768920; 934881814; 280244836; 330120902; 951837805; 381368633; 763819129; 786350426; 109037721; 143777140; 225910440; 521513665; 234813181; 774633711; 270693328; 652982231; 569847498; 815949895; 486927566; 348440232; 771766084; 1023685257; 862274100; 166323193; 971669297; 202614211; 1028460792; 989234257; 345852735; 637348920; 662830469; 81760531; 1062693251; 521724996; 823699056; 32183170; 491798251; 162641934; 67736270; 452481; 264524323; 610111767; 42487251; 206129714; 459486766; 885367926; 624078812; 523195898; 758962216; 875893243; 47461506; 153044809; 476918933; 951521696; 88832845; 882502934; 460762259; 593342581; 251437998; 382987539; 321693426; 186162012; 669076342; 554835216; 150430537; 265442040; 685135394; 406656672; 573225099; 981003021; 952586132; 247558709; 1012542957; 747617957; 1040346176; 347470759; 77021810; 117046998; 631706679; 604988357; 430092804; 467711608; 479043342; 418036346; 34749455; 48748246; 670406000; 217624794; 1073007698; 108610845; 695504852; 458388848; 166588598; 865176708; 840167763; 82679323; 429290959; 1051026733; 123791593; 677034777; 948816218; 597980107; 558302090; 968719847; 820624744; 287622342; 419954897; 476212469; 264181652; 256053210; 452649864; 392803440; 868630221; 833381571; 631676448; 866234544; 454417222; 303846355; 240360641; 336557825; 447728687; 430486065; 960661971; 332454601; 675088968; 716844283; 184375752; 1072574080; 282366983; 592206781; 761297336; 835715235; 701016093; 878591705; 100240018; 250635279; 713117725; 665632661; 1046096379; 571734730; 1045035390; 886258727; 282044257; 732631582; 261960286; 331194347; 546632238; 571740946; 452533031; 124272032; 579715520; 550353372; 845653632; 457197931; 379186710; 175443269; 1005653658; 24176634; 599391568; 322584891; 84187692; 1005474284; 692869521; 438946742; 778122964; 464139849; 126327922; 502604558; 66831448; 172436757; 7638963; 775270667; 167776902; 4076857; 970111357; 583735474; 934014212; 67793725; 230403627; 592977042; 822145327; 993285181; 900944275; 77367536; 731697638; 983014174; 610334329; 119975299; 1026993834; 110722952; 387621020; 172954397; 692995242; 1066990863; 690597695; 622410515; 75409787; 496738452; 458938027; 303465095; 520649443; 56672902; 634892951; 852425915; 436678208; 123640042; 698748525; 285691928; 52168776; 493786174; 390369134; 8066796; 34515750; 564535675; 68820141; 302749195; 765659436; 973124720; 22999737; 118060822; 344724763; 105450152; 342224205; 1029033388; 566168252; 852979622; 885617371; 808801020; 333134830; 834298410; 438446967; 754420515; 576266460; 403898828; 375936736; 880519796; 136337321; 795922092; 116485036; 694354778; 235457300; 696395884; 492900241; 942982722; 905556365; 356231894; 284123635; 566930151; 384169219; 802818165; 580379764; 305183452; 93324196; 511077476; 764253698; 824669859; 984488937; 461686016; 726210019; 420345845; 752644711; 669065640; 728602335; 427225659; 956338765; 401280288; 93637175; 32304214; 809780665; 845643278; 858887808; 375166214; 127052744; 869050638; 777656389; 283173462; 222340230; 33343668; 4614026; 858033889; 995858931; 383968183; 454355300; 394485337; 842990186; 634802298; 966485596; 878822442; 157063342; 933654560; 568196976; 363477099; 1033574387; 682789749; 35490357; 766821524; 735600920; 322820607; 48493232; 562061180; 161322877; 738835506; 576006246; 390120585; 300582807; 319771794; 416358419; 704864754; 628580277; 928240335; 1073393800; 1042284028; 634542351; 719380138; 319560583; 769231434; 1003607530; 513483385; 819821294; 960563570; 414152219; 440942944; 831731269; 916003730; 924730801; 446093462; 433378245; 867982565; 420906043; 315480021; 201751473; 17995234; 742551804; 963339557; 98424822; 531500065; 447783925; 728283847; 1023414770; 994337747; 240036298; 278828297; 749442596; 247908863; 1008693014; 216063541; 29375166; 663613562; 1012955615; 57072988; 257236056; 87415611; 450694469; 848512276; 557150023; 862987046; 859045381; 832162941; 162217878; 99153933; 898157207; 273340091; 467586488; 174944122; 676043160; 460705824; 960160912; 632904743; 237520538; 424297025; 250388865; 252104601; 1073365264; 650771274; 425467029; 77284933; 314171962; 982023611; 257861204; 1056945752; 657238150; 201083033; 563220302; 961948045; 928824981; 330399537; 875962385; 410188903; 879879607; 775687980; 956648420; 362450572; 907640688; 216161086; 827133972; 16118858; 555959691; 700401864; 32934314; 816446228; 195035755; 478986104; 653360222; 803489447; 412071450; 605896372; 758715376; 912012181; 957915377; 905601720; 837896458; 604589081; 272050551; 544681821; 1014002652; 92275521; 163277720; 1013256193; 674981496; 864522983; 741123240; 884734049; 523574179; 22424319; 662141496; 693558953; 720475155; 690002247; 573121769; 75665726; 466179243; 699992280; 823735207; 26468255; 311974893; 405178551; 802499159; 213997644; 695035692; 928230483; 419233891; 750421155; 276506967; 484449826; 159161125; 698413837; 240379135; 5776523; 450555739; 97681528; 39726102; 258019452; 502742868; 258569117; 550163608; 313266083; 716905724; 894471650; 349569496; 756644110; 899133220; 296497916; 382892447; 639108779; 501364928; 324430483; 262723138; 171597533; 1043069030; 945770231; 992432465; 398448151; 346563370; 931122555; 228882081; 186932645; 948364501; 826049208; 792558669; 112236012; 917732265; 710455185; 549252270; 828971402; 357227909; 193343912; 1023345632; 409375468; 326490124; 698096070; 87532992; 304669910; 291037335; 626910318; 779998138; 839234914; 570372844; 1051968219; 779696810; 750062355; 392082628; 649815294; 562299758; 866892843; 359042751; 728846466; 229519839; 424089653; 719159393; 165567525; 180249372; 296158418; 810789321; 318845114; 714107462; 590112029; 808512664; 618522423; 671047549; 475788971; 1073333791; 641035538; 393545053; 630006690; 168565542; 694137189; 827884335; 395879397; 300300026; 418450207; 521460565; 712247077; 271790824; 714068226; 547398721; 819934506; 244373270; 275224985; 751640516; 368349791; 749444633; 372894493; 251821840; 334032389; 847476422; 43438664; 186881559; 345948317; 473333443; 384557516; 197489899; 758997570; 411907717; 180512004; 375121531; 280262757; 723695673; 670369827; 229273213; 150630725; 735787834; 53859184; 194724598; 877677984; 528572757; 463929639; 394647400; 187597970; 672733393; 523898245; 351246994; 299862596; 103746116; 178515162; 586550965; 691603544; 219204523; 775587752; 31267552; 1014328348; 397960316; 8516196; 813523782; 208829596; 599244018; 214561970; 638907302; 151523223; 252462154; 675848698; 818910394; 938011759; 1026268419; 47178860; 667756221; 543914468; 1067803289; 533921336; 314128040; 64303278; 520331664; 878024232; 27531611; 409397514; 588227771; 62690090; 4157807; 236605832; 293589930; 204514197; 462610868; 348314326; 320491916; 566390401; 963537951; 653253858; 48843132; 329713958; 680068663; 18157435; 715302459; 368870301; 1058561859; 564017640; 449256735; 113405139; 555978330; 563187364; 986567871; 678220531; 944202878; 438833691; 29281130; 112549212; 1006699542; 491341692; 61014894; 919995401; 488411187; 968948429; 624403482; 774685176; 1033026756; 59559317; 791455106; 166558805; 525375670; 452393190; 328999333; 4780252; 183973797; 565710303; 894050368; 808671175; 463017515; 33700006; 969751773; 1017365557; 703265577; 586467575; 203986787; 954395381; 918199389; 1051412902; 172531717; 856382556; 884524510; 84007723; 31866180; 511594404; 974942285; 553979719; 683274042; 1024557562; 46520639; 537239604; 983103980; 201234474; 179000681; 705046266; 1007037790; 888918107; 638019830; 769692651; 897344191; 1046008984; 198138339; 997628688; 35122870; 408985631; 147546439; 684364057; 150180094; 1065408056; 238493842; 181143796; 130482316; 461597243; 610392427; 292179579; 116251462; 144569103; 9875767; 395342438; 451617235; 707221617; 628186807; 517525409; 800548424; 679450117; 230821400; 175916861; 700248404; 542719015; 202434926; 87804319; 336500775; 762669325; 352777047; 708655288; 885035034; 449419419; 817859700; 137536276; 43176959; 262222690; 125345446; 920503149; 413025485; 234613724; 704992883; 773690460; 461356070; 90730087; 157338789; 655379830; 457123184; 954679314; 478555334; 400841467; 153989024; 866336727; 474199348; 68515133; 77465374; 278138719; 296172047; 259013705; 94952473; 122054097; 699080631; 821833566; 784631612; 508489081; 899416002; 790036730; 1011981316; 987746212; 372305758; 383509771; 548073668; 970398522; 957712982; 893023302; 162662763; 171658513; 812320089; 55516780; 1012244906; 642603262; 1064171500; 749777450; 237725126; 551064422; 283237762; 630022360; 607000727; 684457199; 1068549721; 635454966; 235537725; 265528368; 434267953; 167942384; 901022072; 500178776; 526408959; 411407355; 671660801; 442597079; 592951157; 122360131; 569945799; 192911100; 948904352; 815973715; 357629710; 138005609; 248284394; 176570409; 522574344; 874367490; 74064376; 267575691; 87115401; 1011925667; 603668344; 400732028; 125482438; 101762800; 393638722; 125276308; 140226580; 673088146; 1051302020; 1035361284; 700077125; 442229186; 320794286; 559018942; 732182159; 904867276; 104337088; 498685981; 681054872; 573626929; 230709649; 469753354; 381250833; 909281164; 675720573; 853104353; 521246091; 41025370; 543065010; 813299656; 475054034; 96187934; 642246746; 600821811; 286418138; 975063660; 257289226; 591795891; 613548174; 376834047; 22371064; 808645736; 585455519; 466505240; 241532593; 280812465; 954956388; 884412752; 661918739; 914294232; 367270733; 769420202; 332657074; 117810733; 720664149; 755832734; 969573109; 699328338; 540665234; 801614468; 405980920; 361058908; 774136666; 787967203; 330830945; 19336048; 680247331; 930812670; 784623756; 462162316; 987775453; 251431499; 772646549; 955212994; 943974622; 955632733; 826804586; 602913832; 964638108; 576359625; 324123502; 474624569; 113553768; 127263600; 442793163; 414233617; 30544024; 895981642; 796845663; 977071696; 681295506; 330311866; 376256515; 687642023; 151573332; 993860684; 660281550; 966053098; 813791271; 670394097; 992916356; 49710917; 80568439; 714992982; 975022230; 503589636; 533981675; 662723566; 1027379015; 855587616; 623227847; 964519675; 559752094; 646743220; 396597792; 982605693; 572370694; 548463009; 108110577; 797473206; 1025620196; 195271612; 275613639; 752674792; 113150011; 96022376; 701954619; 306250100; 233804160; 474311827; 323907538; 252354076; 582909889; 519328098; 590430514; 379234189; 722045480; 123044166; 567999185; 571261662; 774725009; 81414632; 376703715; 785549384; 774906265; 901255466; 395022439; 1015163354; 803089828; 17356138; 653017260; 694478916; 38950008; 472342722; 247627232; 499796411; 292099284; 1008502809; 131702454; 486571283; 437927478; 401355912; 999474736; 377955986; 28776942; 45197871; 239057845; 617660307; 457487020; 783390951; 475960573; 958513039; 64510326; 250849299; 322208406; 415520887; 164453438; 1023230234; 1002466561; 718998985; 727999281; 541248663; 1024857041; 417461525; 169428034; 303497384; 268553996; 146706265; 724961609; 438749787; 698970214; 397021525; 2682414; 512783765; 22067814; 398218273; 349884297; 560594346; 2247619; 265054342; 241687213; 1014616621; 785735975; 252821602; 921227096; 566103013; 646026449; 1000254312; 329681148; 567792041; 335909694; 780456254; 244087467; 585400727; 333270627; 631790182; 6862850; 497025251; 689920889; 593135498; 17214463; 816838716; 641117647; 466481183; 699399966; 43119609; 224658194; 79634650; 649933783; 221314955; 932750804; 142172630; 757633267; 665810239; 169345062; 4344188; 93987999; 493221661; 319411462; 526252747; 167939817; 364723634; 276980571; 924393566; 321771312; 728174572; 846126718; 151025975; 418357301; 1070590496; 298193678; 543957174; 398318701; 736143068; 934073971; 512469248; 496152098; 832994187; 344942713; 146436089; 122388124; 918967853; 1021484721; 190800625; 623395251; 242248724; 271296992; 171971298; 1001016251; 328910621; 340033605; 63995100; 259255027; 481665895; 722122519; 953987072; 266825481; 139313552; 695714688; 733312588; 316011462; 177375595; 1009628575; 119272846; 390994972; 18363415; 3360659; 752783703; 176003781; 750759319; 312812651; 755966365; 1006259897; 429808688; 758588711; 348645912; 369408153; 333690408; 3226408; 741071217; 63605489; 1048551299; 173274156; 488657836; 996134189; 916693286; 771710189; 479504292; 557527723; 610430519; 111711902; 935380050; 267833177; 464485966; 384158477; 502127139; 469996892; 494034792; 585908592; 932746779; 956821375; 126028498; 574085738; 511312132; 749431682; 714171156; 913048479; 587246075; 226086092; 559958144; 594644398; 81325843; 766669876; 166091461; 1014078502; 780957206; 56317341; 1022848881; 157361468; 416309117; 963020284; 776947446; 673829850; 206158140; 151314333; 73480736; 678521249; 43907668; 646822282; 997800790; 104387235; 56231780; 172549742; 90050782; 984825577; 92543743; 1021863693; 944865472; 166825231; 940603917; 534811214; 156711544; 170096872; 437238910; 724374291; 191920136; 299545431; 641812915; 427389577; 949082157; 404007482; 387736786; 367607301; 1032326493; 1057720149; 908243460; 291104971; 134266014; 94316862; 271524009; 395057385; 14929840; 155729913; 232358566; 382798812; 167602297; 1023313492; 232493256; 288361174; 766855037; 188834468; 998031757; 913121850; 304884992; 525625762; 241490865; 1006093829; 207802406; 321741242; 781305199; 517100700; 426399924; 872684742; 637226222; 126412926; 206786383; 594444091; 903109090; 600380944; 281670410; 353134197; 101885071; 493683033; 166016004; 810782632; 707576451; 949309966; 545023140; 708193432; 498163421; 429238081; 312089475; 50220893; 932820594; 713300304; 71871687; 204880029; 544450765; 437085281; 335985024; 28159139; 456341246; 372004792; 910956618; 726650839; 359326628; 599652092; 1069052856; 586497204; 628026491; 895009268; 886367532; 731307676; 266218739; 755246483; 289189540; 828766599; 1035641436; 408422190; 143397630; 896735088; 13030233; 531836878; 482111274; 265110148; 350740346; 1008285620; 769871726; 31976520; 950697551; 2254597; 10602570; 851612303; 619426639; 932737944; 583953473; 804508636; 349995714; 972388267; 1067620918; 987045472; 686528411; 87394251; 369290866; 121594637; 249091510; 7482044; 57734955; 931542606; 410896107; 153241784; 395812714; 11243698; 106747891; 864168196; 378590547; 520453871; 201894306; 272670481; 862239384; 789846565; 92517176; 695651154; 983646204; 956562159; 995615563; 515617581; 850212741; 2023331; 630936383; 953638225; 4368917; 124874371; 328814510; 1033095016; 994231135; 596249694; 171232356; 298946414; 631473445; 760896755; 541312084; 823607030; 23812514; 961211515; 138148094; 585993505; 578929198; 592053049; 605873696; 203243367; 1032619476; 255795550; 233354183; 289224952; 1028674278; 594531870; 290459451; 784806200; 206465379; 397437719; 374066515; 624993762; 410427758; 925862113; 257037470; 966149387; 971665324; 1053853333; 427927594; 444152734; 108190875; 375239154; 198330916; 1051864928; 178253046; 148512158; 910613801; 628615259; 675184036; 6902395; 728828961; 977887687; 311091880; 345181044; 539339881; 438104710; 237812911; 331879423; 466857782; 500943610; 971519944; 24120366; 174955841; 918023457; 839745591; 844403485; 42652832; 993394829; 121720096; 374126871; 299013231; 308129877; 1025074611; 1057869953; 613094538; 339549164; 586637302; 390681382; 531002597; 858961840; 872984154; 307851966; 372033884; 333375081; 157780589; 721593778; 907132770; 173749054; 444666488; 437076996; 737653350; 301557732; 274706147; 587083419; 265637259; 405118249; 260493290; 668982492; 559697147; 910068148; 957977631; 224105863; 358290301; 122174558; 556864203; 940939999; 635131190; 987248014; 987919080; 39251991; 411142973; 784857854; 71361717; 406379587; 594528935; 948247401; 891407628; 201208637; 255153885; 84658635; 816363758; 410143105; 376038520; 118960713; 964140124; 964268705; 712388181; 961260737; 54040120; 877329799; 55409418; 841660956; 90251276; 958633957; 619184798; 827873035; 690829353; 830889613; 920175116; 624896742; 102078345; 89600908; 720310144; 1046376136; 724994826; 215711617; 697361111; 557294216; 120599326; 984209214; 98291830; 237082963; 488310878; 131030793; 670351147; 565737219; 345456382; 26047656; 99837837; 358083258; 300370761; 48894640; 444614761; 57714551; 736721944; 694815216; 572282031; 385814751; 785368620; 671521711; 31623789; 920049795; 114871195; 751161655; 982227956; 163477439; 999282241; 792634940; 411535176; 150735805; 394993905; 812279198; 59143181; 367559638; 522780531; 575925511; 674263087; 883295454; 92321704; 221584388; 972429860; 53805608; 367717990; 893643549; 864088622; 757629339; 679801108; 253385113; 249370350; 669709966; 170817778; 374676571; 132029549; 963237619; 357018623; 1042721634; 971328225; 438750941; 725395437; 978633351; 982908885; 521826575; 437712010; 214621327; 266544490; 900505542; 479910917; 168821584; 643641387; 191713007; 814943609; 323944011; 800409480; 927807257; 592694260; 984663901; 738778557; 243041348; 707454941; 12310386; 638275353; 290822210; 927462035; 310879986; 121257208; 681431155; 366977148; 399160127; 761134017; 281681127; 62830488; 315608330; 942394554; 368791487; 213979715; 121394525; 633485559; 309026868; 741219977; 555882757; 763574239; 1037036605; 2687620; 432053391; 43263128; 36486907; 651681280; 492858599; 673266594; 150018272; 1004435252; 233954528; 828152353; 906748566; 451730873; 757433446; 31433493; 551949200; 526694480; 198059423; 609510612; 421825168; 628100191; 737976573; 887719042; 84636618; 578869209; 642964922; 673425536; 217716253; 38028573; 591689008; 261109299; 280621877; 882366806; 618847728; 1019436934; 1006832829; 121821109; 863044490; 686590551; 341255406; 133433204; 446283481; 71031684; 1061921731; 19441412; 807166880; 300740084; 453295639; 746035153; 560404873; 762446027; 102112910; 492781055; 702038750; 327590184; 640379803; 371193487; 293249065; 43183755; 773768565; 331153196; 494748687; 711621520; 547437688; 756148606; 688220264; 232706236; 1059572126; 790254134; 834517522; 716968975; 38343984; 806353372; 525812689; 333600663; 230513892; 619241827; 1051084547; 658303904; 409251770; 226687357; 140987861; 801928090; 157878553; 97611965; 331001195; 586904839; 1054509575; 953638241; 178913445; 405765486; 742296997; 56935857; 275291891; 741492182; 1031046771; 565891447; 697540174; 597442318; 744175309; 629253765; 505310481; 706968900; 72419119; 235452593; 435227915; 59735101; 664725350; 37869414; 969581914; 972956510; 873825880; 223815944; 1005313506; 327615146; 489589054; 346273852; 37214213; 950995211; 613500498; 131665972; 588846884; 172745696; 635271942; 605527360; 425235199; 84266072; 1009615675; 919847791; 855545255; 426669777; 856424671; 800016169; 341432127; 7638652; 397082799; 530743887; 751982334; 669621054; 653671381; 736063445; 444443260; 506479372; 190745787; 994626112; 477136800; 800822939; 860685406; 18159013; 203984691; 996314949; 1003993119; 676234048; 34550612; 547246530; 875258340; 3184083; 608021520; 124130057; 371882405; 174819182; 233043295; 341450120; 932367430; 176870881; 881012606; 1093481; 643965480; 1016224717; 942946516; 691840118; 419373231; 624710755; 694170287; 46300825; 584129881; 993705328; 286859580; 648652610; 347181041; 430962078; 850896947; 211285057; 524850415; 664953752; 242355066; 477701821; 983281292; 398885476; 550331903; 198482245; 373794309; 1064071933; 909412101; 495541658; 1065937922; 106705381; 196934200; 154945148; 961802189; 207042945; 362645701; 984437822; 726383123; 620534904; 474467959; 477711184; 758340909; 281791144; 819036365; 289517137; 623456796; 910580752; 946255368; 334519729; 947561364; 838964188; 1059030942; 633264185; 300255340; 834923166; 365899863; 477089398; 642071705; 808088567; 326597511; 241498431; 1010726053; 917041272; 244198377; 792197600; 113659086; 854964366; 1039901092; 194978817; 341938986; 56001644; 318266774; 648921626; 165192124; 444988345; 622248214; 784316805; 295541712; 314019819; 38194466; 447880295; 745272657; 906225569; 538661925; 913856880; 224854589; 771720719; 21417545; 508309541; 957757190; 948095001; 49456739; 532198671; 928588809; 856744722; 41196250; 797755978; 77958515; 44206411; 984130454; 605353019; 103911207; 169054594; 453980591; 971842; 640518975; 401064976; 195861359; 356608242; 181488076; 73288259; 341531020; 1055480459; 1004435311; 530381006; 654541414; 64710331; 765234833; 179169060; 350804196; 1030280000; 689860055; 114647841; 1042082830; 808002211; 1003022328; 876188802; 771663951; 311180801; 782686475; 84858681; 466705578; 929818314; 299927345; 812568567; 190695336; 674460497; 455804188; 708316279; 439790631; 735356608; 804486798; 997769223; 285726680; 772729105; 981001493; 276450998; 772929659; 766257618; 518684370; 1044495779; 72007320; 124837420; 252307642; 928138752; 619507681; 727210100; 1037985020; 748443778; 864932752; 236000394; 931831464; 921255335; 781548392; 907207320; 406080582; 653291305; 255458670; 256724724; 52527270; 46700960; 573758876; 265913876; 589260864; 161468861; 583150971; 339549270; 296861911; 420900939; 156695580; 620409987; 1018685868; 100085269; 350051132; 273230442; 1050026249; 800102261; 791229855; 470707; 855436298; 126965830; 885034700; 637715769; 677415547; 346663115; 566014932; 388226763; 210506963; 155728299; 667488816; 385810894; 949561430; 194852157; 666355722; 152272031; 266478914; 560291644; 81188563; 238924946; 702500516; 137317407; 945269530; 504580710; 373117953; 860600128; 778394536; 563147810; 524882920; 733166012; 476306026; 983029549; 461952243; 638713547; 517999910; 726338495; 658712334; 66010130; 840688667; 949064267; 531023541; 1013898446; 143953316; 878571998; 1057272314; 515547420; 906920834; 811413983; 572828084; 275215479; 654661849; 386307087; 129234907; 61343712; 244774908; 382236155; 337039265; 645749688; 271859297; 875850758; 788138612; 1055466807; 669874171; 106980813; 966076418; 766703643; 564224718; 683366081; 774507987; 551087317; 346627181; 343647547; 663422167; 964594238; 1250237; 794350472; 604744649; 554409845; 73143657; 604345282; 1030439991; 346301421; 220545558; 578891570; 684405329; 52193910; 65676042; 967646671; 31765000; 494476359; 752440814; 911585171; 845181887; 157824030; 575577804; 518980361; 456378869; 582703542; 926717616; 367216210; 793723892; 729375860; 203629981; 863220513; 304416686; 908555373; 291628412; 862759398; 862663324; 385293976; 43343621; 402758191; 138406706; 768711649; 449305138; 1052923548; 665968223; 1045887605; 133463380; 268927915; 600997834; 619168672; 517327436; 307848660; 124186786; 778004454; 226464945; 988159214; 348679545; 959173120; 459966026; 928679232; 331814434; 1061095833; 128012587; 1695059; 435683127; 224906848; 365569069; 905013204; 426109507; 61325516; 920658123; 89965886; 3535932; 898643940; 198318682; 210942140; 940400225; 391140162; 53933191; 259266541; 138587340; 314797095; 25575227; 79993094; 500326056; 101237914; 748051858; 15813760; 550933330; 603520306; 533793088; 360118847; 679471619; 863992049; 542985995; 344433094; 701416889; 508293079; 1039239367; 899864169; 120171591; 709317916; 990338268; 936937697; 595466268; 207193223; 995358372; 291263905; 274672599; 876634732; 635964324; 687672955; 253833836; 571566888; 817185054; 553613600; 675451879; 202823215; 542662002; 424054451; 1003743422; 723258854; 677534440; 980113919; 447947122; 438706665; 504440961; 25515788; 475214510; 976717045; 360286851; 709981338; 833751411; 258901973; 580858334; 202955866; 581881298; 470835294; 838218036; 642781458; 222148905; 815924823; 924472744; 600798466; 70176103; 199048832; 320215179; 277199511; 824167476; 1032277677; 469216411; 378297486; 359842381; 207591833; 923785620; 44983993; 817831060; 840812767; 46032780; 1031527838; 182323792; 154744237; 905162505; 679257885; 475145159; 866117922; 1020777167; 904721750; 116546599; 230525744; 998041855; 498992102; 822835105; 228323585; 288172058; 354271836; 496480729; 337015997; 1623197; 883713374; 648543089; 238552281; 784112568; 808543663; 1003763002; 843864491; 452105335; 29894005; 406981217; 712428900; 629474041; 1058027177; 569434245; 542135291; 158761608; 881098251; 630280216; 1312892; 561268508; 643069921; 503671842; 480806275; 189756535; 146498608; 16200757; 1057688926; 606532462; 916063608; 856142367; 637063193; 280637586; 427314285; 390794629; 629331544; 383437953; 750870362; 792685463; 142098185; 851529686; 5920853; 729508261; 27695277; 773014868; 811132111; 592273734; 938234654; 160795199; 344886892; 354013074; 556797542; 369739842; 72512069; 235745842; 580633495; 785028927; 858746971; 853361394; 314803610; 153257635; 569874704; 871384799; 536154022; 679838460; 672269440; 52191928; 975491829; 289657777; 827509260; 843295838; 594782643; 578730794; 647861054; 451677724; 185072558; 1021690111; 498534470; 237705138; 511259393; 635489429; 1848547; 765800542; 124724572; 738187950; 398450717; 535908843; 1052803800; 66789651; 112838473; 143710151; 437835484; 1020309616; 105512771; 683079561; 113788654; 769045944; 270514783; 228970176; 767715940; 1053785361; 522742034; 130544105; 598024593; 1000011712; 475612460; 248270979; 834773875; 988066428; 6213895; 244524395; 735243533; 747680537; 228048314; 185237823; 217396516; 744349773; 543180395; 69628282; 827927776; 877135593; 872339088; 411408539; 1015954254; 256426071; 231254426; 799556422; 647927811; 670106285; 556517951; 943729544; 1005446717; 1014952688; 500152595; 889762392; 814550951; 969784003; 133440716; 219100349; 458487880; 172681897; 417883666; 592704127; 367892605; 930808981; 636866591; 756815496; 259252371; 253450899; 528845874; 641065652; 368573144; 924111889; 345373005; 538576660; 748801821; 621876359; 614114089; 424330797; 578074907; 85266306; 278304212; 547013497; 846300888; 658864428; 458657835; 233961725; 86917413; 562306860; 498553390; 713395516; 57806103; 642091890; 933263124; 356463207; 727068840; 40753560; 306803414; 896012744; 785550846; 264533296; 764989180; 764913937; 556313617; 557924693; 856186087; 929024179; 228317337; 571730186; 471696576; 535507688; 979654473; 1021410463; 1031424619; 975105526; 884052021; 526743359; 638492688; 177056818; 438944499; 648074306; 119318835; 1025107969; 695079757; 478624888; 292211809; 296613044; 27208714; 997241300; 778365674; 80890718; 731122661; 813386536; 964145322; 259747684; 366970479; 641905196; 519873876; 828343920; 760518929; 505493026; 410926474; 945268798; 667564129; 437734429; 621194712; 217457255; 349697041; 217631193; 902330110; 952071553; 997836397; 730841152; 202726889; 460536512; 352578288; 908363480; 792634274; 1043954085; 548098777; 924469406; 992540125; 21256549; 1070652553; 417620622; 728816386; 577077378; 121631056; 2766847; 618530375; 721239512; 1004378924; 1060240534; 415942244; 434636705; 808469463; 996166350; 104281170; 935588247; 1065478752; 372970467; 332439214; 802057351; 227313863; 423101308; 869895708; 51162216; 118691324; 892258546; 863692236; 693236661; 646586438; 618114724; 776454098; 1014726144; 608419996; 917130104; 684061617; 356512253; 50812308; 708077035; 776029365; 657320344; 485446152; 489762401; 506530308; 810625525; 370535271; 331563020; 554711941; 107031591; 320222951; 106166161; 242257906; 897954206; 1007685071; 96897700; 784701632; 855407675; 706095437; 611991064; 775480393; 273708898; 816869534; 406783624; 94630140; 168223247; 611028581; 812201888; 199463402; 701717047; 899632181; 308382963; 725030565; 629071588; 805211881; 133371611; 900816952; 620464377; 952698524; 456765940; 847732944; 308788779; 68459587; 796702867; 1057754656; 910399475; 383398739; 421075106; 205937707; 650283082; 1055815133; 1058311956; 36547561; 586650990; 865378879; 970421463; 712291152; 709950201; 27915558; 738795096; 134493504; 427075459; 697143211; 318300281; 34734470; 259450299; 121538224; 833115955; 544432689; 29092629; 953550874; 486534369; 136321526; 786399716; 740323425; 670577922; 166960883; 331735584; 454904522; 134735462; 402607909; 580569929; 47302598; 523968884; 296783833; 393797650; 773004570; 731958960; 858732727; 304272879; 882689246; 599635036; 67027585; 374189605; 199068807; 1067885821; 204146204; 456486140; 791695480; 764415243; 797277773; 163116598; 181508373; 866753503; 202784764; 453997279; 61094116; 549356392; 40532978; 718256899; 526372284; 584581540; 66334392; 1015243680; 242317863; 561031499; 106213318; 774142105; 120991550; 890872732; 324478993; 1060813548; 323068279; 23547757; 377714469; 761507996; 912210518; 199849903; 721335210; 645714478; 825385869; 334239087; 824647763; 979251953; 309367471; 458907125; 508609058; 664233137; 294356390; 592100755; 111804883; 641048628; 511074624; 541530346; 813016087; 710096286; 70269305; 525134218; 962370485; 500193146; 828503819; 270416564; 43336330; 839980109; 417372936; 858641243; 513796138; 4882051; 1012940291; 378631181; 389265794; 1020811574; 479735466; 391683358; 883774774; 1072993063; 722182720; 99327475; 917641329; 970267510; 806520814; 551213675; 659653292; 168449502; 671955866; 38961377; 985413086; 830185318; 1045174027; 234563896; 365407186; 823863384; 655722145; 309172132; 457200697; 851168357; 3534577; 432365147; 384364425; 973088854; 261854664; 48520787; 821092344; 308388847; 863022596; 169108461; 465032197; 600573208; 453038234; 244038298; 400824186; 963138394; 581277904; 527550650; 926728292; 323521659; 918853403; 508835464; 690171428; 745339478; 173486163; 395055978; 495960523; 844637161; 165426011; 907550056; 1051946687; 1030533588; 144340004; 65611766; 164303085; 589615473; 1005442703; 1045082637; 936101307; 217406500; 432933304; 458996882; 516847624; 774576031; 917141235; 500385099; 147783287; 820294834; 15269817; 145834032; 435073395; 193411602; 877548105; 288834434; 842011598; 377455601; 800335084; 25957426; 1014615684; 395662991; 643265473; 56290099; 958456359; 212580459; 1040524858; 112531005; 520483183; 76902544; 947818077; 352986476; 186928175; 307075650; 781875806; 269429887; 541994912; 668941864; 287188471; 515634089; 676191142; 536326142; 222599759; 391066993; 134920414; 1037809457; 814291171; 26602944; 244298522; 318091233; 617967129; 479017893; 508209441; 841992187; 501911317; 130054801; 1022501855; 947837762; 547492443; 153452398; 190677554; 356173441; 486209991; 1036881397; 846108821; 825019447; 435961095; 1185547; 45613306; 1044297557; 669044905; 374502952; 274386595; 250361624; 836684420; 1066888754; 299505229; 536275399; 13982657; 646683919; 922172407; 1005690981; 553486498; 413547545; 66669658; 573180699; 412047127; 400567418; 465716894; 751511924; 762568747; 710761027; 720050943; 443453977; 612256680; 1004856972; 394988005; 412194166; 885124645; 43657855; 85438963; 44743160; 714485085; 413387518; 786642902; 425859251; 329766524; 666582913; 559146027; 123898108; 442598998; 168738130; 1014506863; 178613450; 232260347; 880274859; 814028333; 344380519; 988653677; 798438837; 609858322; 907128194; 382682335; 480916316; 7745731; 103388253; 249321650; 880671200; 854270874; 236096013; 760727197; 612080244; 933082625; 320575062; 583838545; 242970797; 897407093; 543521420; 64582165; 268977940; 1013388975; 119679256; 910784224; 260869854; 806885006; 265633782; 1030036940; 470593418; 9198044; 578799896; 6654118; 92153908; 552394073; 108751982; 881401034; 300041904; 389537121; 356005882; 794230817; 759753299; 3943731; 827936715; 703165656; 1006226287; 951259200; 612544142; 768334955; 806380238; 305278219; 656335136; 1057776488; 1016216648; 143063522; 89700496; 335919614; 55312355; 921794522; 592423450; 38613586; 658234776; 566210262; 554127224; 933872173; 196320444; 328571178; 24451966; 459533605; 122329453; 424837565; 252010046; 837770931; 934624116; 524405306; 526808115; 520638245; 71229721; 901865960; 85307746; 514117811; 746293018; 406302646; 912697742; 925145690; 1008164332; 972282450; 498898894; 173159104; 853266844; 724320687; 342509568; 377361853; 197478853; 79428899; 390474972; 129335325; 262034995; 951528898; 50386285; 779671590; 536586021; 438067001; 530451397; 342166784; 171748149; 145631065; 162722667; 264362759; 977458352; 586860027; 710677406; 767534295; 106495030; 918443376; 1023738742; 429506657; 1059004511; 916608031; 701987003; 76685524; 40919098; 86533004; 648651315; 169029708; 226029687; 452317547; 24860111; 150345632; 667686630; 238169549; 1049531926; 58464562; 535966202; 697423490; 942381879; 896019391; 229315685; 590700586; 294883434; 546033671; 906501534; 648921458; 1069038561; 1020869418; 326023964; 427604581; 922191422; 42170929; 407431079; 971581639; 640848687; 510414702; 803000256; 241854504; 676022997; 92187218; 140123007; 91667360; 709150956; 799652836; 439987319; 177406689; 318232411; 855238839; 451303824; 437500956; 171616507; 193119159; 475851248; 1047626841; 211940421; 440497308; 184187394; 682907647; 100549049; 252347003; 157786805; 1023979883; 101634906; 512336827; 234150090; 87453912; 72164013; 94165122; 499104379; 75411537; 898615095; 954046124; 258157406; 396854888; 862779178; 651370835; 785665691; 973351929; 61313778; 398476631; 240190427; 925554159; 930252038; 10603149; 988368046; 695846330; 59194954; 689957240; 121227246; 983277944; 793982749; 214866921; 264850070; 993655310; 61884674; 903624666; 537142136; 97190611; 567632034; 226565957; 467598658; 505404797; 740995864; 436321515; 584286719; 564476356; 633999399; 835432772; 48987678; 951646664; 1065739465; 808660061; 1072074770; 522411800; 913190073; 370171236; 836631906; 1050520146; 157643171; 87405370; 787280858; 1053532582; 729137653; 80113519; 616155953; 229263042; 1027700294; 932259047; 211815983; 698684699; 790128128; 399733761; 653695614; 724177612; 690140574; 833081499; 548573799; 509924443; 747193011; 1012329246; 368381317; 88288168; 23523004; 49674165; 92023819; 622331045; 726641859; 154700323; 981096467; 553739231; 126789370; 396967415; 373073678; 351894989; 793741647; 313730762; 885559002; 629273524; 80021220; 275245952; 819953782; 875474318; 1003360107; 477734350; 649952929; 714713445; 487321404; 240803362; 212718758; 460859690; 538374989; 451942067; 103585189; 59000089; 615312277; 113796451; 316870738; 636478265; 766019258; 309464210; 69733990; 28167582; 692063509; 898742406; 906665743; 1004471782; 341935791; 245059414; 255226192; 219967155; 230283506; 995998424; 909502280; 569527516; 869334299; 1054924442; 320407655; 266814690; 385936631; 65706490; 541374255; 663237091; 15629845; 83701193; 908727146; 321033945; 551765867; 517608070; 395041751; 527541156; 353282402; 955967545; 853491405; 644957791; 545857861; 721140217; 928841723; 601171960; 113481842; 978339542; 1012681919; 82215079; 821196783; 585098926; 196787096; 996934894; 350461377; 996519682; 16948500; 990298327; 503497723; 155302652; 803404585; 362173723; 732263435; 494828694; 70744506; 138115964; 224846444; 64190503; 176904318; 348600641; 807300249; 1043145116; 41706591; 846062281; 918055381; 595872089; 992944502; 145344933; 294841524; 193196089; 735358667; 229813352; 395018788; 477813892; 933945515; 704060747; 136784480; 831078278; 224706786; 79763696; 1056685190; 814510723; 391490117; 358340553; 493682983; 16668701; 244396210; 794702930; 666576435; 1049487905; 625078042; 626216758; 794336437; 17474860; 478682815; 1059265684; 65477984; 336823908; 886612576; 364602203; 343625090; 1027343738; 18196564; 739324047; 436338932; 868197407; 887891744; 323205065; 162953246; 38270656; 258596354; 426527239; 712844713; 616009177; 1055098837; 1020653862; 90007776; 1021114372; 484509071; 788771603; 945197131; 1072105371; 351392460; 835312427; 829490308; 763783514; 425286180; 363021181; 440978853; 1017924462; 328226152; 812061108; 526475102; 689278320; 125031249; 493643557; 71059917; 959159793; 552131615; 747527824; 455163724; 254356957; 317429647; 523970071; 804519179; 503514927; 744086579; 355920822; 16675049; 358903361; 18929718; 1071883063; 687154470; 775749098; 614928763; 574774276; 722676027; 970652260; 681874057; 870809146; 1036712675; 938232118; 822515720; 114351662; 994127715; 19176914; 786859121; 907343990; 987322884; 115079156; 514672110; 911523607; 198159812; 322730225; 144861152; 447343633; 453254222; 306642088; 334696548; 500912783; 168844610; 196815456; 565887887; 210131166; 13477044; 85584964; 579460152; 104254678; 131500718; 877752350; 663907244; 1024969428; 251759032; 753753507; 391334856; 300953519; 1030543604; 564149873; 167438952; 726607518; 518075022; 286362474; 112744170; 914434358; 1063431213; 209061991; 200598763; 862982090; 104761588; 1053141349; 217765218; 208258049; 901398756; 870873656; 930993420; 791397137; 953594701; 564976516; 825125376; 1032969402; 230806495; 176423589; 271030250; 291207768; 359081261; 584233882; 295243253; 61004712; 947541446; 28127435; 724709228; 705246764; 161271836; 497629039; 242008173; 681039049; 876822952; 50370999; 77063032; 673354287; 325456704; 873083481; 963881540; 778304331; 212025814; 461385462; 99018143; 139127533; 743421042; 919285981; 327570497; 1040053080; 136038137; 247270138; 378649997; 368810513; 945890420; 854400847; 599499426; 480602814; 631000973; 246417750; 664432719; 30174360; 322026631; 745647888; 568408044; 207663174; 21781376; 775269087; 917180840; 550163817; 68184085; 666197687; 405503728; 1004228356; 907744519; 1054962996; 617086; 992355601; 338669097; 75027506; 53880619; 80806270; 403002924; 787652353; 656229684; 894839983; 367249948; 603186707; 592114791; 165594136; 418920421; 232845817; 271642663; 260769881; 105685123; 324611523; 381395695; 455323621; 463691535; 808501821; 17664166; 428825810; 835745226; 351556142; 20813869; 265331263; 738140253; 219174397; 459527015; 100111286; 332828497; 184908146; 1066517752; 81497190; 476460750; 422892456; 107018366; 691512758; 195250270; 20963298; 353871181; 495269163; 801495157; 362101470; 378365092; 713729713; 292055750; 481616887; 959440025; 744794231; 541366465; 969243527; 436012309; 611070764; 78327292; 429359863; 480980703; 798767465; 832189748; 919271622; 520326062; 741075786; 886573413; 825588080; 8492735; 936578109; 588156701; 737609836; 912755660; 356287225; 554203120; 207980080; 619513456; 940279572; 426884737; 731629811; 874229806; 862566447; 298394319; 437505164; 601002623; 925146477; 417409979; 13502860; 840458505; 38031890; 989210837; 683128127; 768326912; 482524710; 423967325; 1017538754; 241405105; 532786976; 638410655; 738381884; 814531366; 453922367; 590366638; 36215169; 70019631; 844454114; 571454941; 694911014; 692530596; 86540564; 1057114842; 469563393; 541900217; 35937042; 660339427; 512826935; 646767409; 134806454; 695057973; 930535162; 295040330; 448370165; 181438318; 1006584438; 304121588; 1015042799; 762364244; 589418036; 686182250; 962828304; 65028067; 2163171; 820519202; 561793169; 205971766; 536971056; 146815602; 465380459; 377646943; 786987471; 930984780; 239391395; 761336878; 1054067169; 824695063; 389310637; 204333661; 473448394; 1069787102; 465794863; 79628854; 820367781; 11894158; 621241981; 315124703; 648723586; 546546054; 1014488149; 851120689; 234494212; 315992576; 89602253; 246310011; 912756159; 384245248; 1058899867; 2560737; 179973874; 765600374; 336725427; 773801817; 501985665; 439491612; 289661233; 867364521; 988002030; 13896231; 327207794; 906150865; 122899896; 811285232; 1014593899; 526500475; 447111364; 778883991; 443799378; 423619549; 141167720; 503267432; 191702550; 816013116; 260773327; 435705988; 94934050; 808089640; 964618891; 981917840; 444406907; 928745316; 585614002; 1004218009; 405094430; 21594073; 480725809; 749911883; 346085412; 902724737; 454845891; 4636573; 107916939; 1016195739; 108448489; 530058617; 890880539; 64459416; 449155397; 418578207; 1016444261; 245193301; 340850731; 783082842; 633277977; 92335370; 407097237; 866178040; 138500783; 1040188524; 655336390; 994987329; 415999311; 852493604; 802654085; 917599465; 483827333; 436136034; 83378421; 308556244; 348801049; 384466092; 1056796564; 978212714; 227871377; 499141003; 766218329; 669092754; 297194348; 51109037; 453639298; 676518374; 1027909912; 30763386; 211656199; 297623974; 215682502; 141683489; 629564108; 223368196; 125287035; 432304817; 168936051; 364185244; 259232992; 767097767; 734376032; 143326260; 289043258; 604544375; 459110907; 144285174; 169318415; 956366695; 649359406; 478394874; 546136325; 483624396; 54851206; 400949919; 555399888; 281286866; 161302831; 298810448; 662055940; 152220364; 991446631; 288244492; 519862156; 358885658; 88892317; 279717649; 6727137; 343641281; 405320581; 142304475; 660511789; 28777268; 754300184; 194274337; 845556736; 435001775; 221726297; 238826645; 817025749; 729266866; 1069115975; 840465929; 737863591; 313897964; 626033484; 553767364; 869398378; 23908386; 522538674; 7854355; 939854520; 760539470; 926479139; 818229918; 240496394; 355661740; 1017267312; 146019216; 203046411; 245605400; 971065932; 50764002; 755883693; 50527337; 939748662; 72792679; 552146921; 1048025972; 1015835119; 203518509; 1020412063; 192575376; 122957217; 833125264; 966671261; 1038995411; 463966655; 391380541; 157476522; 42442577; 639684378; 60860914; 580375162; 264188982; 214000201; 790642735; 479415440; 740850547; 267343162; 120481926; 998866031; 869531836; 189343595; 699314029; 87102349; 625009528; 853062019; 465178232; 179699086; 1020441561; 210998918; 952970904; 313023143; 416408790; 214216517; 638580754; 719473670; 44155033; 244453017; 376619831; 22744984; 919581614; 45018819; 316325801; 812932535; 436333495; 349901589; 997647972; 454774522; 990493148; 670849716; 212502940; 267009430; 553138742; 988227582; 964238709; 770243732; 600518275; 973463934; 43215993; 87095959; 505934029; 678048162; 947278276; 5185643; 655407050; 526539809; 980311598; 760946543; 6428804; 920289951; 512531815; 896267429; 437140055; 456491740; 19419244; 366409045; 811804251; 280759417; 838766523; 693273070; 1046105019; 308675795; 268735868; 764638848; 914699273; 237626385; 620636468; 231068930; 880359080; 133868479; 431382914; 943302611; 173083617; 922954676; 625015042; 831769860; 155323129; 79484224; 928561898; 1003608103; 169436022; 246128135; 167729915; 282602876; 775281875; 190152219; 314031300; 892972382; 425398138; 816184555; 9304145; 553711206; 284873308; 759881195; 220239828; 59821102; 375540502; 1029392451; 876800450; 854156673; 256623069; 218103716; 1049536859; 483180411; 397738776; 427856045; 590477760; 720775295; 187963014; 270503901; 166853197; 355315035; 604647088; 842915778; 218404246; 244972063; 987987721; 29378790; 952569808; 685162813; 1009281653; 929898359; 465970185; 1008693362; 566033032; 349394755; 222253709; 654695336; 11474760; 951336046; 1006416140; 750161289; 345410111; 844696437; 166693773; 464349633; 1067976311; 276618535; 897787416; 36888230; 161158665; 1009312666; 297613094; 249967416; 675795436; 38764549; 418600228; 309231421; 82581453; 924295025; 525146043; 909734225; 60371436; 513803747; 525930512; 531336913; 52089677; 753342086; 193195901; 296422653; 457083881; 494689526; 237106831; 1005988789; 313681554; 814791455; 979942848; 1066203817; 716281947; 348205052; 435679973; 691355252; 199419721; 908190071; 75029395; 539423959; 1050114942; 516787216; 679592573; 986126527; 3429487; 625327849; 235702001; 666357654; 964081506; 888236629; 42955590; 825276336; 526454438; 84621340; 138755319; 473537061; 346910042; 677819541; 713960367; 396358583; 466513276; 802865798; 985962697; 1042699323; 173195336; 928589312; 36544274; 747299378; 858283187; 819447781; 588576478; 170914355; 332424395; 1058123910; 331175894; 229041198; 330137613; 73659101; 1000300543; 1030593801; 274862126; 124471195; 278110204; 488081798; 321753984; 235625029; 336201358; 1007373312; 88847481; 342591572; 954023664; 357631497; 705736556; 302498091; 140287226; 989877049; 199389838; 682403365; 486984759; 1006153657; 1062387905; 42462309; 238933987; 1019836115; 399093458; 651822524; 904179719; 975983506; 165047427; 40201364; 512686666; 684363285; 541754493; 375545752; 609147298; 384835909; 335772911; 67610744; 1071722347; 538536512; 321404356; 62558222; 680336315; 549219958; 594543891; 633999318; 597715274; 885114608; 718719558; 708410525; 779193134; 742490066; 859276995; 920277365; 193817138; 1008165482; 78737293; 633240970; 181428027; 855875131; 856893381; 1003182801; 429855778; 392507685; 347335968; 1060259331; 770517516; 531322910; 480866034; 270927; 1050214988; 768879356; 78599235; 376391298; 774511138; 899537003; 261464430; 474166421; 1031902142; 321127413; 426527348; 888880794; 668954656; 187832741; 503471683; 143757647; 972291945; 316786262; 543406812; 440073204; 590492199; 635320136; 6753567; 750054022; 400283080; 330095797; 182621546; 677238546; 354831396; 209617853; 957097865; 119793885; 746921074; 537129429; 977811409; 596205940; 711240974; 187756326; 148789064; 338410100; 407823952; 766170808; 455760491; 536500485; 914534653; 745430316; 548771193; 201772541; 794655541; 345041392; 919938154; 568233034; 913361997; 660109320; 1031691165; 235330931; 801715868; 364755055; 677262918; 349854531; 588653438; 477882161; 875487368; 304374561; 357694181; 242569647; 1042207067; 855159567; 714309671; 689239000; 756313923; 927102005; 726992225; 9825904; 658608517; 727280312; 657453549; 1054184797; 330443552; 182142401; 571550223; 293387256; 235608648; 223249375; 609106927; 641938334; 214083630; 479480066; 857760333; 532263334; 48841842; 425702902; 893457715; 34088919; 1049826823; 556973607; 506490230; 935101967; 353431882; 118127529; 189422534; 620054349; 968130621; 442404786; 452317487; 1070909974; 1035882258; 997579343; 624595068; 340616112; 346863672; 137188919; 979776047; 699757885; 384144381; 897453100; 136135406; 354104413; 815420679; 121736438; 909566074; 378375415; 118747726; 893464274; 672407557; 1046845216; 440336272; 587814202; 308498707; 1000569019; 449872110; 643880276; 800219257; 504836134; 857695913; 975548294; 52399709; 784945857; 143625290; 879512557; 447041408; 273355704; 44893518; 413429996; 804297082; 1064774516; 306477753; 458910300; 728056424; 669793607; 366142463; 635374667; 392845936; 953090083; 41577344; 639472793; 119382024; 169807014; 452981129; 930903731; 617916153; 221382030; 79348398; 1054700085; 1046591084; 399004803; 788188414; 642124549; 764499730; 877262163; 322124645; 873185129; 876486735; 355875834; 120031799; 65333504; 389467473; 801478418; 552814516; 691451131; 964741812; 248966699; 165623989; 660194660; 896521043; 106204999; 454531721; 429686207; 175356859; 733729495; 887720675; 804250463; 341162150; 877309385; 587323595; 548621773; 779753844; 445245927; 535028154; 170849831; 928725964; 380424293; 984335592; 400182850; 570971264; 796387281; 791279170; 52728819; 1056922031; 1047725250; 23352421; 775154837; 917581319; 295653653; 299399322; 867950493; 876093341; 117258354; 584512309; 790928625; 841506953; 787347095; 813575329; 171579866; 328562854; 82668210; 554460081; 986414604; 790451735; 68098295; 949267184; 470353343; 185237978; 108321577; 8954026; 253971866; 640611245; 294102471; 626103649; 204423280; 467962220; 272916437; 22386071; 178920537; 155453925; 255656130; 173808623; 774306418; 688234440; 60623232; 279287420; 149366515; 157313313; 171602792; 361952839; 103491115; 699426694; 46918711; 957802415; 820317674; 316728788; 499425460; 90783585; 537598014; 692184975; 314745850; 737312447; 711203825; 537937444; 471476396; 160612109; 58764336; 533966895; 542811233; 395466122; 649486904; 974784644; 450550240; 267886635; 168734346; 452586919; 918132510; 603615530; 699653419; 231575908; 97326920; 169245171; 636774813; 775417074; 125117077; 613084894; 329231124; 933687572; 652553306; 729536244; 607840690; 590356812; 256822682; 647872218; 297885617; 75987117; 506616293; 10895831; 771159895; 337501314; 393428492; 1026186980; 390789300; 394953419; 622233309; 1044301907; 798927826; 410237094; 861406406; 464489663; 247092268; 225367361; 1010219250; 780592224; 291381727; 951386754; 458827393; 236374656; 795677649; 66208330; 164183056; 247584002; 527733105; 359548083; 744730159; 846785808; 611448614; 1048099329; 440703829; 146758754; 158343511; 417493779; 785335721; 318330078; 558807709; 132838117; 826603450; 1026002037; 607993125; 477399080; 840881720; 582390829; 109922746; 170175314; 450919069; 493559492; 541062265; 612865302; 1009674492; 454611310; 543143829; 473130496; 619809420; 928305439; 170098990; 482744459; 822729880; 15960180; 398738891; 351795635; 323864756; 328791078; 436907529; 879700310; 725338189; 274564874; 86486369; 339437654; 544728967; 52139638; 485139777; 758340319; 500392887; 671197161; 777176400; 153923709; 587892131; 208695161; 293612107; 109299389; 246844607; 773989559; 137883429; 459636865; 536657478; 986755159; 501430015; 842740190; 667225761; 1012589025; 946986307; 263610496; 994490046; 34762982; 114935201; 741993607; 20967372; 378222049; 80428546; 1047623018; 432879976; 26216573; 42327638; 190000159; 84431130; 754343757; 898942669; 824348496; 890048648; 766112912; 226469245; 358226038; 831317098; 492173561; 1009287336; 23884276; 732291518; 488272218; 667167403; 732920241; 640099816; 476573555; 518447679; 243592884; 22790859; 885020137; 973141294; 524413117; 929582290; 716115900; 313603013; 527515228; 605048233; 973699362; 930449625; 485683935; 475694984; 152172492; 411518240; 388572191; 649091560; 904327718; 203531893; 156690543; 447792897; 312599556; 562888603; 915818144; 730130120; 935031802; 512164457; 15880053; 763164958; 488345546; 975218037; 30553691; 713105935; 134600621; 933509832; 311625085; 196295867; 872538095; 698247528; 359062665; 230745067; 328098476; 1058103450; 298238057; 527993664; 791885028; 706694465; 968213509; 516517793; 529157063; 377492504; 791435593; 900831849; 10666076; 852431958; 586974771; 834999857; 653386674; 339917610; 1073158018; 717146731; 576236913; 349087154; 131439769; 995578482; 753230139; 848423246; 382784841; 266623739; 695755854; 844779866; 861425761; 4916812; 900024205; 173983617; 53349846; 453234023; 240859616; 374475319; 396674937; 72134420; 198622292; 710978700; 38346253; 131344100; 96999202; 868197037; 935649654; 823402188; 548727199; 408407101; 348234625; 1039195281; 523838191; 266553839; 368582655; 964941663; 198628991; 890617509; 40791063; 762467279; 911379939; 170619009; 256377753; 583494759; 895736239; 428230133; 95196841; 808528648; 702860114; 180108956; 151370237; 226508407; 438325119; 157435125; 324668808; 290655585; 538259096; 232054604; 728855908; 450111664; 91641271; 349021088; 545900209; 780786635; 486827960; 932403840; 783108898; 349215913; 1015206182; 1013180045; 897343079; 1071110936; 545985700; 1018958964; 144932747; 965158477; 118979656; 414908694; 935831323; 578232888; 142571639; 344541930; 240217730; 279636728; 727404166; 615106510; 270879442; 979794022; 254924480; 16896888; 691644441; 785957214; 659975645; 908081456; 1031614149; 588991356; 1067622197; 382265592; 253839985; 1042634839; 977104853; 996348199; 344976369; 274912275; 928842492; 770063607; 1014014936; 156589356; 240224508; 485872708; 315311485; 620877523; 661659533; 853753091; 767724542; 512127539; 150987602; 786915641; 594361554; 813568026; 1014723131; 246236955; 1029367792; 922614221; 861364054; 1040737865; 87615003; 953856609; 618284977; 422125248; 968824625; 217898939; 307696447; 588045525; 281054745; 220081013; 776884439; 137690713; 988325261; 274996609; 440075642; 1064278415; 365477468; 365129206; 990724973; 314973982; 746391271; 353889333; 541160391; 312946123; 747750952; 950979704; 3940393; 403376629; 51418060; 325393612; 637164900; 106679088; 548909998; 153297919; 556991826; 509361960; 347210788; 944370557; 469366579; 132998503; 564591050; 935099802; 1023236186; 367560681; 551443296; 996071309; 33626942; 913142334; 576338163; 918172718; 518702139; 640043587; 138511113; 627089290; 611565104; 316088785; 1057377670; 569635721; 292157587; 52523163; 343854854; 790354133; 536432784; 608257432; 170282508; 849971600; 914876920; 759247209; 956716446; 714798928; 671931358; 240818488; 655038666; 877760569; 52362287; 373268473; 328650694; 560614496; 727508484; 32894323; 160340928; 47360011; 154344048; 628579067; 1068637641; 1026366926; 308043011; 813593008; 122141014; 510213987; 406000442; 11856078; 636087430; 48700786; 94521890; 121999834; 1037243432; 413406241; 824778359; 943463460; 629783008; 108909468; 799082940; 529815557; 689021508; 456283738; 267975962; 778334145; 733695040; 330995502; 865964030; 151016547; 258578766; 357969312; 332436897; 285464399; 914443626; 799301446; 575635696; 656851890; 157622615; 838480659; 226211234; 787285586; 378757455; 1070920920; 465998316; 241745887; 492796510; 758127746; 317748236; 714887879; 275784427; 1049018587; 1040502372; 619278456; 234019179; 763555689; 653903605; 395575488; 358203909; 461354590; 993301836; 138645555; 925950436; 339672056; 202808918; 562704427; 744999822; 66281557; 631792959; 1708548; 510110396; 538168567; 264724564; 806454851; 917490296; 41740956; 46592398; 145992452; 335141339; 1016405615; 158120694; 465571552; 257491105; 914333966; 925297969; 766228007; 119424966; 352089662; 712128532; 530279554; 106390174; 684985826; 484151781; 966595907; 1027948603; 727519772; 423792116; 438607128; 166411125; 1011888518; 982196067; 57216546; 47305327; 255212100; 718430194; 713523813; 661058649; 839593213; 291460265; 381396781; 1018332974; 374275219; 104200417; 652720287; 781353897; 697542191; 937796620; 1033681142; 312534875; 982110485; 33664562; 1043503858; 158818425; 114502051; 958815516; 368044841; 229474126; 306843136; 621542346; 507215137; 953919741; 450715172; 15818733; 476806292; 687093697; 860751816; 47392860; 967177045; 709177164; 931702738; 525842313; 588529301; 765334499; 47480733; 660685120; 769520507; 824813200; 981603770; 717696852; 918328260; 320980443; 777753864; 107254505; 595673097; 986288373; 716966671; 109965311; 735018882; 200440666; 136513781; 725846393; 938174382; 118901464; 316715647; 953460590; 106006518; 583562416; 239725281; 360716421; 770325760; 951003646; 297150374; 408511398; 123700575; 736904568; 916171016; 1048310019; 526777696; 844323713; 573549166; 513395882; 100308162; 81524747; 56039792; 1010326990; 840309622; 744186173; 285286691; 712810085; 816341685; 924808663; 24740861; 787915820; 96882312; 665941026; 944101716; 745001957; 786739171; 842706139; 583756672; 473923455; 789066470; 43744934; 310039109; 271493639; 363421038; 510167552; 853431228; 926986079; 886930639; 941510192; 168565308; 229410787; 330796115; 173746180; 180423786; 554263365; 129485896; 150062249; 871638974; 683642213; 916208592; 260600388; 1049333751; 526706887; 149956037; 710080069; 496214691; 764961205; 468742953; 691426094; 1008982635; 265430953; 842081747; 4642931; 796167522; 93468008; 386132250; 748972302; 59844627; 1023886191; 849897301; 582728184; 369384752; 947703424; 557477805; 187851; 910384623; 1055560354; 403784018; 1073648930; 648324730; 958981831; 312028194; 490720630; 837286252; 389305756; 809590545; 944723497; 1067123925; 131356998; 197555472; 1011066544; 543311992; 161992592; 1050600604; 341218431; 415669588; 400681217; 341731277; 42000963; 41646041; 257654493; 92164392; 618907656; 906691219; 166037750; 11975739; 356446317; 694586459; 631406450; 58427755; 944198511; 33944871; 383926559; 954459216; 291227570; 340413587; 526365254; 94057505; 586538768; 518482741; 44485524; 202770809; 344206789; 72635172; 1014345120; 452329623; 890647748; 135253689; 186152684; 85843848; 324470367; 496962119; 803301350; 329363200; 835617423; 84066643; 1012859572; 525292748; 626318757; 763134082; 654617885; 1043643453; 160438726; 163006854; 207742322; 99475621; 942905949; 91758674; 650508806; 429395755; 310594482; 687728894; 776137205; 194833410; 80804174; 183534856; 438778781; 494813721; 513222140; 92484109; 1056019091; 204143149; 594919285; 504555755; 1050138066; 708076757; 975163615; 867045069; 258768499; 383512469; 136636270; 367043486; 876181428; 505821582; 994224084; 796646973; 898945811; 606427248; 335292439; 350719486; 177151812; 640132714; 510979201; 640837453; 1049991096; 373787840; 944425984; 537025345; 421456661; 408017289; 869795166; 853138812; 893262734; 538688666; 1054661601; 779640145; 787525075; 58874929; 789456207; 590591157; 1004074196; 968455733; 967259295; 378007647; 19921748; 470594450; 722755766; 284236616; 114442911; 563370257; 884269939; 735605470; 187568737; 118284410; 1012259474; 141609952; 14419394; 52242287; 52560287; 1000180771; 497782444; 582668146; 240271641; 47968525; 82571424; 984993575; 147688241; 211680764; 392437843; 156294739; 131121094; 464946449; 503984871; 662602037; 378678073; 656988130; 913118093; 376367234; 563532834; 691514677; 539047666; 51562513; 507470120; 480682100; 614033094; 286695671; 102512859; 229425074; 796802912; 850720149; 994517758; 160548745; 404041046; 606820170; 432377441; 147422512; 703202069; 1042557347; 228132116; 627999400; 868154008; 199981010; 81782200; 164152958; 933175114; 441109738; 1018816976; 340735501; 665772132; 235276181; 432504972; 756950921; 337492137; 561130358; 235226791; 284139187; 1003814282; 343549596; 1028961; 850340530; 438129934; 550581085; 467599052; 553361904; 25502312; 447393107; 218262086; 142455895; 1063078886; 680406488; 120427064; 696058075; 455132436; 581567880; 186743780; 248340940; 263284616; 472878447; 914569391; 45103944; 473717479; 681332510; 516616264; 1020040024; 506923703; 438104784; 392573901; 845856627; 1024704661; 346023130; 1069093756; 180508484; 889246823; 596675882; 891550404; 885940396; 422831085; 277907708; 899067806; 137958589; 289520166; 581103333; 858007494; 789698539; 241837500; 4292917; 16540845; 704800527; 750228337; 732798544; 1041241037; 998180892; 946293568; 662500930; 951796433; 100190711; 940852281; 137358040; 163565366; 746044441; 433535734; 950277909; 883389052; 209703865; 1011130871; 600357736; 920167379; 746294884; 286630017; 859815572; 168674396; 886694574; 215823029; 418049854; 339371388; 863540126; 663274607; 700054376; 267839182; 81691424; 496253009; 652907531; 495751444; 73014799; 331134975; 760383293; 820404740; 111488994; 877879562; 325878503; 277778885; 570465359; 301510259; 591781195; 877415791; 559288618; 50228326; 1049253174; 457188834; 731608314; 167396426; 637508892; 704880561; 23500186; 678105375; 631856048; 725538863; 961180886; 500272317; 542905547; 461764394; 84945725; 501018344; 1052752471; 999932508; 954505610; 440330728; 920151320; 255051051; 448168786; 652867274; 944814730; 879312425; 467447547; 357040313; 994225100; 482751246; 654802217; 683774958; 831635258; 574696819; 138327191; 683575349; 619253790; 608613774; 948047922; 801986807; 533676034; 340794067; 625649206; 1032993698; 59277188; 610418095; 604563093; 19597889; 314542850; 383061132; 558340183; 226273427; 361448362; 524211108; 468922908; 159435084; 536608097; 64332175; 421941664; 214256614; 69771018; 133520060; 894322197; 348780689; 24995232; 88617269; 274652328; 368277549; 620113913; 557958715; 231200888; 123270944; 817112223; 655171881; 929727200; 170144189; 957764777; 770708786; 129059717; 725879523; 705719806; 668068027; 497689115; 448967279; 450323348; 281379642; 639043169; 382936632; 97934198; 660588872; 323832724; 522982641; 314634801; 362506472; 549896694; 615816216; 910878290; 298942576; 467829904; 479319095; 17037989; 832697562; 46281498; 417824294; 219534314; 601313376; 778516068; 609951097; 182519022; 605853144; 494307344; 260291556; 304460796; 259507183; 787040117; 981037952; 193180962; 792088160; 867189708; 903006910; 839372666; 168168352; 729698921; 851117550; 567713788; 126323935; 628297251; 198904082; 756785917; 422796545; 595429259; 326414553; 731342967; 756678003; 291453422; 836572650; 926159558; 368679141; 80098238; 815150846; 658603606; 59863798; 568164692; 15248973; 468631551; 933171807; 840040093; 665139129; 795520287; 1005433471; 46735201; 640875987; 52923653; 719295225; 885954376; 81948713; 458198303; 757201453; 388134224; 261389398; 509728402; 155764799; 479163569; 711157310; 722712288; 534588627; 1073632373; 70783200; 513813185; 240725064; 258569662; 465991423; 234499934; 959286480; 73287248; 424056223; 960957089; 792514601; 1035276529; 185328057; 135882345; 347905422; 88167332; 324095869; 635400542; 327856467; 95866987; 597212760; 167011904; 754114012; 565972564; 648216214; 884062346; 872604668; 471344605; 684329885; 381656475; 671081585; 609339941; 912152293; 893402141; 569581074; 316135575; 584528866; 102595182; 786053273; 784745766; 486714842; 202038665; 347274415; 62225506; 97497045; 762922230; 726715372; 869396209; 857653633; 495623204; 888360828; 756193218; 959687792; 40804970; 362539740; 57050386; 413085858; 146331154; 247713988; 673908260; 285709970; 1005690246; 12537463; 706997243; 394427452; 110701288; 378825519; 247466785; 872262083; 1028580105; 1025597426; 929339678; 148266568; 521150476; 962227794; 610270756; 192663553; 739788577; 576173827; 304969979; 455619726; 245954694; 845470152; 1065913209; 642347328; 886979043; 873426066; 30686769; 529173670; 1068040097; 253031276; 160973323; 839727533; 308264741; 571026021; 488780201; 311157125; 440353565; 363621303; 597904138; 414488764; 394071709; 336989326; 190868568; 479622278; 677344798; 114200905; 302524627; 1023041209; 166505735; 201567954; 1023555761; 883503545; 975614320; 11383623; 2373844; 938241575; 204986612; 374797399; 276463518; 441798092; 983181941; 505813066; 837788451; 71766347; 55990612; 331508151; 568269286; 819008578; 886544091; 536183120; 529555134; 366992314; 1042071697; 639245529; 122932551; 909290497; 664793816; 158455953; 779135613; 279737350; 908467763; 220186619; 852767246; 351526166; 364240341; 824141692; 284068951; 84937001; 771807861; 904557828; 369924393; 115663118; 304246884; 306613378; 248789730; 150876360; 871052775; 333835595; 921478112; 448160933; 978602937; 713221900; 818700307; 119622456; 704121174; 165533821; 547152727; 751505881; 426898220; 984259537; 165174093; 123034331; 928910072; 400004881; 782748772; 110914190; 229603932; 542963612; 828837931; 958538889; 893962902; 914331009; 138657084; 335499920; 478963343; 457992598; 723103088; 536238757; 904811302; 973564545; 251318762; 213180830; 900499172; 260117402; 573797797; 463740390; 695878031; 882477612; 277435779; 529931378; 937832454; 755823078; 988870895; 584413054; 278365124; 1048378892; 12346954; 765763138; 585231644; 469605351; 836737925; 226655419; 106219242; 337029719; 549977462; 259575757; 866094730; 330667347; 991918642; 653416527; 708152429; 810527221; 720986911; 869388832; 598305421; 277177151; 872858504; 823719185; 87241496; 763037632; 454395808; 754204580; 296575897; 379125572; 162900590; 398974913; 301106582; 431256500; 220675930; 262407192; 95331874; 963096892; 414860652; 657698264; 477730035; 23240557; 975935762; 408951609; 321325330; 650504487; 345332320; 503876046; 569904817; 757038460; 135053880; 146211993; 933859654; 142620168; 933390724; 667237364; 795065165; 176070085; 330963531; 377680919; 379297354; 348056740; 514865156; 508056594; 305929038; 1015099284; 425292095; 840676423; 687245272; 609330628; 875049771; 533249219; 161540034; 90396658; 710968278; 169671601; 187556533; 517072422; 564435400; 659156561; 1028696457; 979862158; 4188659; 615836780; 542144736; 165567345; 456658617; 223645660; 1006429587; 935185504; 1008694672; 201974886; 813366709; 654829043; 786738941; 505060645; 1014853200; 808156863; 416603848; 969095740; 296844590; 454974109; 774265072; 885987002; 990543771; 743716767; 982815443; 747195625; 743149899; 219688971; 493065984; 756197917; 979157358; 917425623; 754192406; 499127684; 952318344; 710380583; 364003925; 167107362; 882990636; 69609281; 478023191; 1046407159; 78786447; 29977240; 796445309; 932509141; 946932334; 280307228; 192803480; 758055840; 385674253; 818620132; 63169918; 136388331; 550839832; 715716954; 1072854565; 812866993; 626982090; 974162699; 650130438; 460876330; 679740018; 491570909; 66070694; 373338330; 237184811; 374645340; 517449552; 490391240; 968629198; 534402926; 660546426; 901117437; 739140521; 828022207; 846666288; 418897532; 953159228; 226017874; 614117175; 390898216; 390848654; 651925316; 318020123; 1017913900; 73926101; 426705609; 419791787; 644603817; 699244895; 848668647; 587685765; 348380738; 428953278; 632967897; 345989791; 218841184; 302428949; 453166582; 710754419; 107426265; 240418859; 403052209; 21592385; 731348477; 632394005; 312098120; 53550633; 437465430; 98454765; 216920441; 627020190; 877091946; 418728512; 262525361; 138193667; 997751184; 34170460; 500709630; 597331696; 1027485168; 533232963; 464325028; 562840746; 1064792886; 362262520; 576825435; 761459547; 731506913; 404311124; 79985435; 950131292; 843966184; 1047965669; 589141730; 406051988; 687979570; 818019571; 130899907; 807480677; 709080976; 201051539; 197753820; 676810805; 402938082; 752237542; 512870019; 992039956; 278045616; 371201225; 719902980; 726608114; 630429613; 26179887; 789670179; 828547865; 295389648; 961443423; 70887597; 667078546; 499435081; 978784941; 346509149; 861247981; 975631529; 279245926; 72401490; 516348599; 423120190; 862313773; 271671219; 878689331; 911145502; 740562121; 831084562; 1003805400; 594736899; 198027089; 616590854; 945164779; 423493552; 353916029; 237629869; 980670762; 1033869467; 63355484; 614113922; 588364784; 266762139; 647736341; 785712150; 32833825; 910301558; 693857287; 947880498; 96550284; 188258789; 163685472; 861218174; 897477806; 474445336; 323958938; 334783379; 659727699; 955926359; 714321935; 923877529; 549138671; 404472278; 337146088; 57226519; 169487249; 244103044; 353871270; 372981034; 669230314; 783702421; 876890459; 385218521; 974349827; 978464478; 961121652; 283606105; 755749069; 1034034694; 614820890; 608727330; 1038494104; 366132558; 514114511; 923035120; 308523007; 602094291; 902161782; 359208209; 93296349; 459143677; 517628630; 740556711; 641136301; 857246077; 16617698; 776626100; 1011847640; 252856867; 465284586; 66021504; 200872795; 84235982; 833359817; 959967908; 888452801; 583793808; 1060011768; 708244137; 390702479; 957480783; 604559875; 633932765; 910718515; 9353084; 261369373; 499240979; 282839744; 1052563178; 797084741; 277931634; 416817427; 423110995; 720004157; 637343678; 997652151; 774293784; 227907759; 972683877; 294159858; 1013750924; 663396625; 1003395122; 90845467; 576588478; 699063244; 772103861; 1034790101; 124071973; 553726197; 186848464; 726909970; 849474941; 837947903; 494061478; 430411553; 488371156; 345112480; 181659795; 353462419; 66677403; 457207470; 68068501; 727322487; 575176583; 639140112; 316854702; 291012586; 491420804; 701300621; 965032448; 327041863; 1023253643; 101673824; 364275364; 71978628; 194316838; 96572849; 589992272; 932126006; 445544678; 211575555; 10106608; 472790932; 284747490; 456213086; 823507574; 1029381338; 981933665; 264205097; 353139397; 72592628; 447096154; 249876890; 150153758; 29482820; 613561266; 392693906; 1053438524; 510984685; 285492146; 428015322; 752132535; 105306770; 635727822; 781663670; 617654259; 32874131; 74832192; 473899632; 406154345; 134887992; 732982655; 951496453; 322267924; 538417202; 434445453; 1009451348; 926891852; 428903190; 944140866; 35231179; 1046544714; 41419456; 957999125; 662367064; 168492277; 93004785; 169521025; 31703024; 444002372; 213457963; 377434223; 933919231; 599088350; 997880852; 173961334; 182130300; 431418233; 1003082356; 927354739; 526057430; 796667815; 162814953; 102766662; 623078801; 700678715; 846352126; 974077307; 102485337; 792924518; 984515558; 291939893; 480252733; 415551371; 151732099; 504413771; 95489595; 100067352; 432196215; 45970803; 572109573; 715873257; 528088197; 956298524; 583512512; 904587533; 121313019; 949219222; 894371036; 955219659; 21384882; 392970918; 408168587; 1056019342; 630530791; 700857951; 23602173; 475167884; 720421774; 578604401; 99607155; 473066996; 751637982; 431331057; 15039244; 38764978; 930728964; 767101314; 791119067; 906961394; 68433910; 585394439; 1042486630; 385815176; 971280757; 965572480; 871847196; 445606146; 40501034; 706490388; 544144694; 334515511; 771520749; 942304469; 543502881; 1001461346; 776007889; 166275519; 989299973; 948440199; 649766879; 437947349; 207763047; 245705341; 504676529; 213538173; 211553918; 214394476; 203775853; 111073846; 1038092560; 724185380; 183214150; 93596334; 994553188; 948112815; 926568818; 686962689; 624399792; 858945883; 400628696; 312584453; 69647403; 483010590; 270580730; 419702761; 624439641; 209290159; 794368057; 550139081; 870993800; 952190164; 428292989; 204052024; 709465258; 453860042; 90298239; 368533645; 861173408; 242447372; 587921179; 745476189; 692092534; 559305295; 393570465; 977851805; 437610755; 908283977; 638196341; 1950910; 917333080; 64498834; 847065615; 675946155; 180707743; 863677827; 779441337; 74918908; 665407672; 236298049; 396448530; 317460880; 806688848; 408732971; 48990605; 46698321; 295258573; 440515180; 661055633; 115045527; 684085528; 257139036; 79551394; 997129157; 702585076; 286005575; 518451848; 734735693; 486084817; 879108615; 953676621; 650749336; 609950084; 1044793; 60102776; 709723665; 136035374; 95241758; 318054706; 685676127; 548737280; 9336457; 121779165; 913173701; 204410651; 1033111410; 987890570; 571242718; 292917275; 1023000330; 678037873; 47934400; 65331742; 100831089; 622293274; 611016728; 113457861; 725030; 445845618; 594518284; 627890145; 950581865; 304387027; 872450468; 472061606; 1045881861; 120348042; 397836878; 176247511; 825717374; 828604328; 431249770; 984159227; 648183221; 538111241; 903108008; 924302777; 147889569; 376598945; 332996805; 106708469; 733006889; 261511552; 307099340; 552236601; 254276683; 319657530; 345176396; 1030237170; 794125496; 1054905423; 358904594; 564787980; 1012389910; 801612206; 279604157; 506315320; 757381552; 560614814; 676463083; 741986488; 187737864; 238873897; 253417914; 70676147; 880278347; 898804877; 711779793; 512736631; 383151493; 927195725; 499503413; 807204574; 769082901; 485475940; 96171887; 51862521; 1019426509; 45668090; 53159120; 232429182; 568001807; 481275292; 579295859; 149141843; 663263258; 493745829; 470741576; 573415575; 735944943; 208128894; 624900688; 166440856; 376906152; 51780486; 404523625; 1025934463; 151007307; 310738599; 579665810; 442579791; 972667437; 171285058; 377391600; 154833605; 1019332114; 484060787; 713896099; 821887039; 105732793; 452952519; 838663578; 157952890; 690521034; 830843498; 832550703; 768342991; 811719412; 582988106; 689171670; 962473822; 975458242; 789433384; 649365641; 127932598; 862348773; 63670795; 1050188074; 510341358; 73810867; 267323236; 971076862; 858707792; 604513113; 208536398; 688724574; 31282812; 787439289; 836654985; 103363340; 670084010; 795251792; 672683842; 748494488; 585785576; 2817200; 73646641; 151318776; 131789939; 346137231; 1009327058; 704859884; 1061211629; 859751651; 629773035; 208035562; 518909374; 500441680; 563956470; 680562205; 779134811; 480717628; 34367398; 66099167; 713554778; 147011692; 559861816; 246589369; 426879819; 633254908; 764263121; 776966005; 904242402; 1058760421; 100331829; 1042066113; 547965207; 892740183; 749838544; 823668983; 156759932; 527375853; 924516547; 996469530; 1020640970; 520618105; 890008488; 659911156; 485294268; 1072599457; 787104504; 98179588; 542503626; 73505795; 722453091; 700338038; 284027465; 365552864; 92686670; 405604571; 36072194; 120255118; 444723024; 352343385; 157157588; 118874840; 952106370; 246654402; 408211308; 292728123; 357266852; 406818165; 35393792; 913944600; 414838327; 631880131; 670112273; 207273069; 384529016; 749814066; 748958455; 15957058; 826866606; 69954654; 666310201; 105024446; 105970597; 1030797755; 156821364; 875080844; 968042960; 897363393; 194220950; 737121726; 524679367; 276856513; 61286443; 164096122; 222660322; 108392680; 551447396; 935554907; 692938716; 537409228; 739299761; 335658094; 34615536; 141403812; 205382145; 1004647154; 1071172393; 445340630; 511778599; 830745128; 272091326; 188578921; 217712445; 84482952; 1022183193; 250040984; 308478683; 547432714; 622937053; 709275247; 32554751; 251387859; 504767886; 113789299; 118713038; 1006299868; 442121698; 445329001; 742329895; 759571859; 673117078; 265209341; 696745232; 473732365; 927845755; 221522356; 824093634; 311590771; 1024146487; 896887763; 350507239; 614143475; 894633414; 224931393; 331511953; 723693255; 34702342; 714537625; 585982944; 292011782; 542494723; 765400644; 130166991; 877549979; 848051961; 719930802; 694316842; 880586172; 563967729; 967259899; 1040995609; 771272620; 834440529; 657545107; 974568115; 417661836; 601659924; 489550677; 629472194; 739315730; 417745658; 634504334; 283492403; 676928918; 817404663; 210508955; 229911970; 211596375; 657385206; 289704790; 307979893; 266064054; 285193912; 365457371; 672700344; 874906374; 604097933; 389257530; 1067216995; 75188083; 327759838; 532433619; 625693403; 581657739; 273993166; 617751189; 36708307; 85307947; 867405573; 434712632; 792962879; 919250703; 696809197; 8713250; 970694759; 264571978; 662140201; 69762721; 275619205; 933068565; 146485348; 787234593; 192300021; 153202931; 251620087; 526825226; 359586383; 1043696968; 809204824; 167871320; 124819379; 298120948; 137261483; 541335849; 637282251; 631615223; 613765983; 358062721; 279889788; 232962270; 814945071; 878276555; 796727531; 43048313; 905564237; 1046811442; 716427113; 903267585; 227442522; 401866452; 872252146; 931210726; 954782274; 366227524; 355082039; 332799674; 291641314; 22223083; 995810588; 591645801; 774980456; 378481567; 903293782; 493818307; 823979610; 64600472; 405163680; 112077700; 95557050; 1071510972; 214722919; 320250120; 52444010; 565642533; 651195913; 828309797; 7183624; 448210456; 189131001; 173762672; 1020161640; 970047896; 225958111; 1036112055; 957228628; 587664103; 695607197; 377790134; 161869187; 79337993; 437446893; 62682179; 201959257; 883758906; 66654914; 1070286054; 404471220; 290551810; 1752320; 814902506; 708208313; 590736121; 660301002; 232981978; 332582820; 822960447; 141148603; 874599817; 644942298; 115321475; 677735899; 574421655; 116337118; 82923224; 722100476; 61447776; 123075275; 498778959; 842730030; 556565039; 506835091; 44885332; 594946503; 1064761297; 549460002; 547224947; 407841680; 736239162; 595836369; 33501486; 293358618; 277292358; 850162014; 959250346; 307262098; 957549310; 660497130; 613270211; 892194383; 564432951; 615950620; 393738789; 866283291; 717295766; 987199665; 488984382; 40520539; 78407314; 289466201; 1008848943; 427868919; 816838854; 764141039; 735718091; 814637413; 212560182; 869454199; 748228443; 249120568; 363504426; 326079796; 549143657; 682138360; 764761704; 930946019; 988209029; 520593579; 661765064; 439514453; 881218726; 775775433; 355021996; 337696977; 979806990; 913622126; 874613674; 617799042; 715833121; 1036109043; 378612682; 117935226; 375332160; 48668189; 74538631; 988365487; 299264879; 615191888; 301636505; 644077759; 764219130; 781247397; 927922317; 85914722; 193428669; 371736780; 632411206; 562233534; 72934002; 714910734; 838201529; 54327616; 350170224; 79519444; 487266547; 554711393; 669573928; 115882405; 826962676; 913500657; 794648838; 338608102; 427660403; 70824074; 127678529; 667065171; 628630793; 820778814; 177031090; 1057477236; 795150320; 928171034; 934787047; 756793105; 439181282; 1054550552; 640315432; 739348574; 297145336; 935386753; 518707815; 13632759; 329161449; 846896174; 691963182; 907060956; 515793863; 543132424; 937992536; 1059507224; 200938078; 792850101; 580215861; 66919626; 478971186; 137300048; 916304152; 462854234; 414278125; 602981184; 607390381; 574747616; 850597771; 122213518; 99827915; 387489548; 806078469; 524006267; 818527462; 609407612; 270385988; 39618914; 548642109; 173057170; 348314756; 18044574; 190759280; 685989346; 603618515; 87864703; 289471164; 510017852; 859680220; 952470787; 473683945; 620628453; 348218121; 435434029; 420025616; 468548738; 74488489; 971065680; 768061082; 240769727; 204292603; 890384131; 952872708; 587937926; 1039415922; 992137551; 164499323; 853664621; 206098229; 861132481; 232259150; 875518105; 751283375; 1006227940; 848931173; 780708545; 434703486; 294842965; 673425006; 134268829; 672544111; 626782932; 757477438; 421378268; 415914897; 1058802807; 349154989; 749780321; 238630238; 710870030; 1037716814; 160311516; 1020580642; 125495365; 380862433; 819527516; 193297997; 942785453; 21590494; 615116927; 330505318; 622056630; 639816753; 19865789; 153927681; 565009072; 424824833; 393018175; 297977530; 413282903; 469230009; 366099896; 291205738; 630710096; 413959017; 1003904077; 372229192; 833644530; 475732770; 803152145; 43387333; 194865628; 982447574; 1052286049; 1004941062; 47636656; 825764753; 899323819; 559982264; 971837728; 614487804; 205956448; 463056031; 622424289; 555909307; 276125426; 380646680; 83636550; 534089513; 509630775; 678281118; 833866943; 74557869; 688686058; 545533919; 491239475; 156996137; 371855591; 596861397; 947929681; 1063641923; 481061879; 128316932; 609111587; 317738084; 585774863; 612491330; 670858582; 316290197; 472608716; 509373918; 945869631; 1063939431; 886798764; 295428293; 752354570; 804359525; 726389707; 949772563; 24491339; 847229217; 648898083; 400081898; 36868733; 592313368; 590673358; 269383013; 103605609; 588004988; 16671715; 977173981; 733624579; 577655097; 623530551; 130567723; 303099206; 1026277362; 706372730; 706432202; 242256021; 249786254; 712940216; 219406573; 82286546; 809611108; 9788794; 642039190; 553134911; 21251908; 239096040; 395174964; 29767071; 60881241; 294311308; 189626516; 21917281; 72141668; 188051525; 223202279; 27052254; 629389340; 1036139540; 583141390; 897295831; 815157352; 161959884; 176706708; 750841506; 768781267; 738399565; 165775671; 76132116; 864326736; 784711307; 640157686; 903574354; 415632240; 281952963; 606630659; 41608343; 50196829; 215423366; 793455353; 702100695; 346231397; 727059843; 872066165; 293128233; 10807515; 1058339240; 432472639; 1071812207; 72062396; 194545865; 546368143; 835135404; 234164632; 894189488; 179810151; 504108172; 386162965; 87652233; 376594786; 712599586; 858721232; 746074869; 909112599; 451085052; 677695053; 712588414; 820818459; 520512285; 784308534; 741476937; 585523338; 977817490; 1019044577; 67081153; 623135067; 773910006; 502799558; 615962422; 844982785; 217126853; 155334817; 200012006; 899199840; 720425983; 402584401; 859904855; 128113886; 1049323688; 853291985; 755727715; 289137012; 711814838; 1031531730; 115562350; 54577603; 614739724; 223243748; 182326383; 950380553; 734683653; 796115879; 837995073; 177958879; 137355536; 742308688; 138466961; 887844093; 564270752; 1008979411; 232969796; 725829560; 382692681; 270318214; 109059914; 362298689; 410526353; 433584170; 47139650; 36028120; 970942002; 599879099; 380326074; 755966234; 94327813; 812688948; 78438768; 618648939; 528989027; 982137927; 459361907; 938391530; 62917050; 104153593; 346063936; 282866887; 146530362; 624642848; 217356034; 1009071653; 686904503; 273057250; 966620734; 682683413; 861877137; 925499239; 252478797; 866540116; 958038983; 815842723; 862762539; 903838505; 887509829; 936995772; 651950577; 152658319; 354302865; 264221398; 342907609; 576657120; 354959794; 669419187; 901681706; 775248214; 1040362267; 171708353; 577338706; 6028557; 265954007; 635647233; 500104739; 120743208; 839674171; 294796014; 50113176; 919804103; 664933747; 861974; 801030722; 252880982; 1058679708; 750759784; 458255407; 87369583; 1058268032; 299410280; 414882665; 569305536; 15183641; 801598332; 661835157; 84186392; 251919458; 1038530275; 375145290; 344540091; 848037389; 761655506; 951330957; 682997414; 641815395; 242343565; 270980764; 363678899; 1072614808; 559318210; 438673287; 1052423413; 924062513; 697161086; 891021710; 214158200; 799142836; 893568537; 503014380; 135035777; 878986089; 366922841; 949002608; 721491449; 912086178; 691806589; 582193027; 4267419; 631920451; 582751925; 498573093; 192214135; 837525653; 35623005; 28646414; 1066679513; 565308695; 83838486; 383825574; 417288472; 429167786; 1012178044; 952800150; 8534347; 861719345; 1013253255; 239745750; 148105119; 532213707; 520967419; 416907266; 1052152914; 740162791; 894377065; 1008754460; 692218120; 1067025029; 419034572; 895169854; 20538072; 431866382; 972105859; 372766556; 200687343; 716504218; 107078194; 507004689; 700395496; 547027240; 170163671; 489327124; 986103986; 893968949; 181614149; 100035986; 358129334; 926365518; 346139097; 327124566; 1050989290; 199875803; 979970963; 764440406; 332559229; 483140263; 953754589; 378484389; 284910156; 337029122; 642002073; 514958470; 1004769273; 169237198; 580319982; 437161427; 1033726391; 114555711; 770413278; 279521361; 145076702; 831070071; 704210462; 983624804; 186402720; 619247687; 891517869; 112962412; 761392269; 391154925; 58439746; 290729646; 908325734; 210003702; 1056552649; 574453124; 308368158; 510735221; 353680626; 1046202872; 1016554912; 304841354; 315215152; 660776031; 722386263; 54945296; 364532953; 15034311; 587471318; 626561486; 101222011; 1013568526; 233530195; 802514418; 890947211; 61275014; 317806023; 1071719506; 732770547; 342315105; 1031374001; 519789878; 799819723; 853338610; 267762672; 1065677948; 950480677; 861744434; 153293198; 770641819; 20281164; 847544625; 387606626; 203183264; 1034178541; 984226366; 442700567; 121622462; 215372328; 947187961; 178686637; 904071160; 449622778; 743231658; 57746791; 634222767; 241571493; 585158951; 39328253; 59143068; 544863346; 111859850; 374625969; 781281875; 519246454; 1002717992; 515617298; 798546220; 923825099; 627302255; 451560483; 26881578; 763844165; 109949142; 438990237; 9101536; 808211735; 199786433; 514424881; 69613394; 938561830; 822153975; 500160110; 354906023; 913173638; 111238786; 718501716; 305109915; 923011070; 542207821; 809420582; 628783533; 332524444; 378393617; 250659188; 811776872; 792782647; 756940255; 1018681859; 522449242; 131149732; 474346579; 715301223; 584422940; 714266212; 649454322; 274223672; 187752005; 362286372; 668050725; 952569671; 792328952; 665487606; 464950976; 482813879; 438561127; 15177968; 98659748; 206599231; 469721852; 754781828; 117513251; 171866704; 937343726; 326074410; 845155945; 368137461; 313019355; 789565869; 462629144; 595752480; 161290264; 140514781; 93527702; 835905619; 219538844; 534571643; 829353269; 408706641; 931342493; 486709848; 357893908; 147872652; 895395307; 784206904; 285787494; 1071968634; 33741935; 1069757621; 138719033; 1066862837; 884402858; 182533461; 262972372; 995259958; 627220019; 909343630; 681652847; 1028565290; 977160815; 250556548; 292698270; 890541147; 220796901; 949536916; 111304078; 489366518; 51676202; 304983379; 11381323; 386048250; 376772097; 865498823; 751367216; 767764551; 32047133; 692269060; 571436917; 555005685; 777217666; 831427252; 755574770; 595421666; 774004502; 253347671; 192505884; 814936862; 63056879; 640768881; 746540497; 156801659; 920168227; 721047183; 482820854; 994839219; 522008335; 452834262; 67603079; 977588278; 65056553; 145846682; 623222377; 666441404; 102242579; 753237935; 192295871; 289857039; 62007134; 391444318; 598307400; 183864677; 582897847; 280668186; 510196414; 682435294; 313392376; 949714307; 803811428; 330672461; 700649270; 300392010; 512037130; 262341442; 172305199; 406565153; 1034090189; 400798009; 49333457; 80713293; 595641710; 704511918; 1047679256; 174627448; 502730942; 245515369; 21219186; 736929141; 796534472; 437003231; 337981908; 476197799; 938623355; 804419398; 602027144; 237000869; 944640005; 916947710; 868368449; 14494019; 457894827; 153234598; 677736762; 974989820; 294531672; 481903040; 9322032; 542480208; 288141580; 2680349; 277304939; 45485791; 643048723; 435637408; 445809393; 975822157; 599860477; 931571861; 436082538; 962729952; 443398181; 803213672; 177501900; 743409598; 807922610; 233877525; 766088516; 605884077; 591434780; 979940326; 392408896; 676876568; 1063505092; 823345740; 532637679; 823906621; 143243376; 659408327; 589543597; 661823028; 509186825; 918460433; 306995941; 833734834; 1045416497; 894484358; 992019353; 258928951; 464659134; 165508080; 918628752; 771688283; 315007033; 724338189; 659787546; 785470479; 815620571; 126642295; 217423609; 666874020; 139502936; 355929230; 1025774583; 761447877; 337685763; 828280945; 790591914; 524969227; 365771072; 879440648; 760417900; 209124575; 350224072; 265295377; 48476897; 411472934; 945990135; 917536234; 98624862; 389886181; 597486038; 551400885; 24281691; 423480122; 322568450; 968010285; 138565027; 716070930; 425518303; 459878967; 393139901; 11849631; 827695836; 386189839; 108761112; 137095511; 500829305; 547792434; 574400411; 545180956; 1064119661; 762052955; 1041092903; 808987463; 803302666; 477069323; 907528867; 708905484; 224665037; 569914822; 96567976; 36290929; 717378471; 258138280; 981865253; 739326272; 968057059; 661026114; 628194229; 229672846; 485057908; 826321532; 983414368; 12869333; 891409583; 372567556; 215925258; 627349014; 631689642; 614283713; 950784917; 613836872; 1053576741; 1066735531; 43219048; 272437585; 456304422; 297361851; 1049404510; 693714248; 756649969; 714709530; 599917200; 888433398; 312855909; 194550556; 947643584; 725445762; 76429984; 343618183; 147673588; 447756217; 442585416; 467544106; 770884919; 427897662; 1005334415; 318582670; 540025381; 639723946; 838840174; 872626942; 762454265; 1024936188; 454023293; 956342893; 609219225; 619826941; 175415287; 149052433; 554298336; 742755113; 959586820; 303663131; 894331119; 832510681; 313532678; 105965586; 1007195080; 793301353; 898030520; 134470589; 658654325; 653988777; 911375018; 1017594097; 214097673; 258078584; 272172366; 241138790; 4865665; 335373230; 596666139; 501178300; 115972881; 472369845; 769567409; 178823820; 1002043757; 863673082; 149651512; 348579389; 273878282; 190124137; 750885595; 438883157; 1058751171; 838833355; 389506984; 340642967; 580644534; 762700435; 736610306; 831289318; 381168056; 802422030; 750100406; 394503702; 656557450; 1047756836; 374576306; 221020899; 236872401; 388890397; 7208644; 771150753; 390004155; 229611172; 490800721; 118601013; 405012156; 220912428; 899447855; 684548907; 151799715; 866227261; 606956461; 406364980; 536614905; 143077465; 439547311; 7098045; 188728886; 383505866; 570005532; 251499624; 863324440; 654177905; 241316047; 1031914725; 518475211; 793399204; 836675465; 775672448; 1011167097; 830540326; 174356770; 94442493; 616864524; 406055253; 149985959; 317618445; 423049033; 920123070; 379586502; 560769839; 347272249; 611827182; 466663305; 614440501; 79564008; 218653255; 775105997; 283004810; 631735992; 429518400; 1062114271; 387230242; 300935065; 1006235383; 709876889; 547650152; 1013941307; 743916229; 967581723; 181325076; 1069932688; 979057279; 821291506; 226566407; 945961976; 645581037; 711333263; 791509480; 97667990; 412897178; 784969593; 570590017; 700370001; 264086990; 421068382; 425790393; 508459574; 473045683; 786108190; 143070159; 193351796; 835390049; 911213840; 630666016; 730974375; 755533141; 569187715; 535471025; 624640324; 455160072; 264760449; 581510014; 167997638; 315689541; 175987162; 1023448826; 969038532; 101257976; 688579150; 295445219; 439564751; 873356797; 752341949; 30120587; 150126778; 307031218; 563491653; 1058015847; 671120462; 98165953; 877493834; 63360063; 604713914; 141638659; 1061717569; 343898985; 772503801; 643512902; 854960602; 792501237; 436942013; 626339315; 312629857; 623054697; 1048147487; 175048512; 907455932; 875935370; 560316164; 353551364; 1009142830; 713877561; 995627462; 681463331; 420557511; 90418700; 188544018; 797087901; 382725523; 1064089929; 154493784; 501013273; 270191204; 502847028; 811601082; 27015549; 164061227; 81441560; 381438657; 154469416; 201201471; 1009672933; 267825682; 453992359; 104460663; 121550519; 266479470; 678235727; 252290598; 451951558; 51353724; 875934348; 16192831; 820026191; 75386337; 903555132; 744772996; 450818335; 566137350; 154116720; 929911193; 435176155; 234556326; 849866512; 24596409; 518107321; 129257010; 202719403; 392362654; 215409314; 331363508; 423930994; 909930599; 1031628746; 84444003; 962833652; 1009785570; 1071091321; 323615643; 709669541; 140865199; 672426051; 1068944982; 536149864; 794546514; 9068485; 133045259; 320678253; 990592983; 840476375; 443270779; 178624735; 665635386; 906779606; 799749986; 104521295; 798079099; 54267728; 1064275057; 420472054; 610634710; 444435463; 292734763; 1020741321; 447024108; 329871571; 228014916; 25941941; 672250180; 87154919; 288798550; 291609573; 400513248; 917847999; 483500821; 740085372; 985406188; 652151441; 885503519; 956525679; 359905489; 717234928; 294340666; 35191694; 536878510; 1022176505; 870326870; 118980140; 783468434; 480992956; 163963680; 776301781; 558632075; 799597530; 680143734; 602088284; 1069423072; 960905948; 692052584; 1017310723; 641162025; 536029572; 796187915; 264626921; 270702637; 820028899; 1007378863; 669949431; 322547178; 894259390; 635378479; 252757888; 827600636; 134264160; 400831709; 274718260; 305696139; 480406506; 1061778974; 934127492; 514745565; 958642480; 197215645; 65498174; 712436055; 719805933; 69099684; 901227315; 1546823; 270886449; 265516683; 163812134; 848713597; 638009150; 268915848; 859853444; 475438425; 349212021; 226174486; 392123042; 603012139; 619837424; 774591798; 949013436; 16818992; 669821943; 592890144; 265322982; 417077376; 1023857951; 17575142; 118048271; 533011952; 565735832; 492225036; 173544316; 724211706; 486985137; 293742512; 316559266; 425007132; 752337416; 405541438; 897602021; 617746189; 930288513; 429780652; 991117680; 42189826; 482028440; 1024634796; 875218508; 617204009; 473169640; 889823336; 680274752; 841147564; 507801999; 384408944; 77645177; 518101082; 20199211; 1028720267; 495008591; 667440813; 20990228; 926793862; 94327508; 105042174; 41105931; 347089380; 584825900; 281989202; 924349939; 151290223; 456580094; 932198023; 58316200; 361965207; 657370200; 124012582; 1044379182; 969950079; 533164694; 1001409107; 878249543; 478396356; 966462844; 763697893; 782317016; 750666492; 581975915; 38655122; 774758148; 539757380; 151928972; 479156436; 743878028; 268296554; 512687523; 20870823; 421809956; 888652673; 771137774; 291597157; 666241717; 69717409; 452711115; 558642305; 355577113; 67940262; 848001704; 696069578; 154429501; 491845536; 971226699; 200323745; 563927743; 792362453; 577666607; 91787152; 814818975; 931406204; 97112416; 689233421; 507558279; 229795468; 428340994; 10380799; 668011443; 1000496220; 697109619; 556533640; 100221097; 1063006977; 19137310; 492926411; 586340064; 740946843; 483601537; 18183163; 575630808; 106534790; 186699159; 563669376; 784531233; 954190445; 1047581034; 72621519; 180456955; 217684507; 595575839; 714193705; 359897924; 690049977; 868166717; 572024629; 363966057; 916292803; 374999705; 1391583; 244489547; 793993325; 782644279; 994945000; 126422210; 567665932; 782100563; 13258757; 58077764; 172438975; 1003576186; 960465396; 48235294; 113656481; 793686371; 72401912; 482572168; 583160940; 380553214; 15988822; 459575440; 550021340; 716356045; 239242412; 667846246; 138322820; 418031234; 400751745; 1042975145; 715344622; 488152725; 180665918; 349004842; 933836640; 611868420; 555811062; 980114552; 813681776; 992571519; 765979440; 815361436; 560493472; 39368400; 792442232; 16090073; 848412129; 200310864; 421449633; 444220635; 890901316; 1054886216; 989810128; 63897995; 460412590; 897087566; 434241553; 11573388; 1043104933; 397642426; 682990285; 841308766; 1069660634; 744287250; 895718550; 917605726; 212349619; 75923799; 626899538; 516489581; 637477004; 875508305; 290950660; 502417895; 588812038; 166418755; 120310336; 328957596; 437435379; 1018612048; 144803024; 1032164101; 325873668; 500188678; 127181225; 686274275; 865039149; 304102196; 891568529; 146959266; 762216094; 350944023; 622407891; 511520039; 467412742; 230278343; 403584715; 513975528; 1044667314; 287367603; 575071370; 77142613; 133498353; 229403215; 883374887; 231415530; 185310537; 645829897; 636994690; 990638463; 80451863; 240136548; 479341109; 965755328; 779093769; 806081038; 103424294; 169033171; 620434720; 11490890; 359899179; 581986850; 130495779; 206631897; 835560415; 635709308; 147964323; 1009440438; 860078020; 496524015; 751683797; 763659037; 655956550; 632209590; 173237894; 275309393; 778213545; 991320597; 583878648; 954391572; 31007390; 451318037; 566141055; 158219534; 996489387; 855163650; 661236457; 307245523; 430137608; 890534154; 956222192; 1041840935; 767655222; 662176281; 347279805; 650305147; 855556000; 943419650; 535321741; 728359773; 1022719632; 31207279; 709087379; 229769819; 142876342; 356681050; 197632231; 174912913; 138565985; 142259058; 804273248; 240126106; 228232135; 371264623; 1044851198; 510902582; 594751405; 583969367; 664207992; 190012054; 774798846; 417533232; 245412978; 27417844; 651345434; 527501318; 388857455; 9345751; 642012388; 637571387; 528010007; 714789166; 1018934402; 368348014; 395553179; 636289999; 782225373; 111475796; 72849024; 619573670; 29829510; 181553330; 658304317; 619736033; 779553734; 703883872; 246724558; 716294290; 1024192487; 617899981; 915016795; 306924437; 407640811; 259630725; 413029116; 723215674; 195427559; 140042141; 771245056; 358335572; 736510083; 209968099; 399461121; 91458966; 901650410; 15845863; 390154033; 750747486; 431178164; 13560840; 848984869; 1053122362; 1015687757; 327380788; 473568759; 879466433; 30140411; 431695828; 124469486; 10376417; 949259964; 956444634; 158557606; 798706403; 432757530; 1073331609; 769435749; 101524881; 271704041; 307036012; 736832458; 756929187; 401624417; 320962345; 734709697; 891143762; 611511973; 150675528; 862626039; 189729619; 779239889; 997740865; 91725786; 913315010; 348857499; 813502048; 772316443; 1062708842; 448568455; 401522246; 722109901; 344006644; 95307097; 102072406; 372363163; 224813943; 112243150; 144827783; 96713106; 305866515; 940136411; 621925825; 695509943; 494341371; 603652661; 152270226; 474668896; 183120778; 1001579719; 770565231; 472635889; 210472191; 421999164; 750729599; 936229056; 1061214241; 752962599; 296922388; 942589005; 171775078; 401251719; 693289463; 913793498; 31983691; 479130310; 414326339; 825244269; 275742101; 1010529875; 1065634684; 735146318; 271524326; 941322581; 577961446; 1003358515; 261779299; 656105656; 1067822287; 786718258; 112374189; 177757440; 549130451; 585677838; 575869125; 406282244; 864739131; 357717436; 384029495; 812097288; 182512812; 729097370; 718455372; 740413905; 169786300; 246294128; 433419939; 396074004; 662555069; 41545406; 115535339; 581116558; 827731562; 843918657; 809982163; 377881956; 353538582; 201618539; 622387987; 60057783; 505632847; 16056348; 1050646891; 945046737; 768407422; 171191295; 95684148; 186290982; 799313976; 364122142; 501868339; 797919715; 423250968; 577712879; 723993709; 573219328; 54612643; 780475883; 520329714; 929738981; 596533119; 768166938; 1044222041; 106020064; 1033276563; 377490951; 1045203093; 999883130; 628225604; 373101951; 688970221; 606929664; 227978315; 333699206; 400721598; 982996683; 323768114; 894648088; 83570810; 703724120; 991526522; 724573227; 169091821; 66196618; 553388064; 691429207; 875050420; 590180544; 819515112; 724921028; 824918009; 874853818; 770460177; 939665233; 855716813; 232725344; 333860435; 266910548; 241168462; 260363754; 695299667; 839650837; 468110147; 664219710; 294275568; 114057957; 386257514; 196802451; 134595484; 156510067; 868828628; 1012377374; 654752663; 337007413; 574125318; 749642239; 382779902; 18870587; 744928357; 224909778; 959453253; 385269107; 536812532; 619401329; 542376150; 245707184; 260817964; 731392924; 524081263; 155534102; 1022489990; 65919673; 894950065; 231020929; 15741587; 834615314; 7119078; 245560081; 110213284; 807875802; 131713687; 229423853; 631736446; 121940250; 919186463; 441769280; 900551067; 164093233; 443673512; 25194487; 900496935; 665157466; 1002781875; 1031623935; 981629442; 449284118; 701281471; 897440527; 332380017; 268830084; 604720216; 734086546; 493470852; 287654313; 97706542; 16353781; 9808434; 109536291; 22541366; 788759154; 1068822790; 1020291952; 401338525; 788155450; 927051427; 984106638; 45510416; 355153601; 159548268; 1014549841; 438880806; 643111636; 600727631; 234286784; 147997410; 688265033; 977413590; 194237116; 401818204; 225441273; 793975675; 755320335; 654597756; 1013809318; 392773822; 155528175; 554365319; 310462273; 383409742; 883974728; 30526394; 561306679; 257715194; 380834592; 456046603; 894449556; 85969293; 702394127; 356717343; 89529123; 596483157; 949676818; 432252815; 646475433; 34465518; 318733577; 411994176; 934952606; 137979720; 479557051; 149592653; 889328095; 439432853; 568610937; 905495221; 131138411; 549115328; 757970839; 51973082; 617341325; 807962924; 241919616; 793319001; 304823840; 966764283; 598838811; 172100346; 861693996; 622784039; 284085030; 642092120; 88500277; 398012630; 527971369; 818574483; 707460071; 701939805; 834757837; 239437009; 14256492; 779815504; 856611395; 863338655; 743483738; 805638504; 839108195; 982735046; 607769400; 379343913; 23264363; 376437711; 591548264; 878183801; 996180122; 126830366; 259927482; 813137090; 387401131; 619073927; 944032330; 691014127; 708938520; 341991848; 328655667; 82265743; 969933691; 325544657; 807717855; 995803117; 855045823; 469046632; 698160130; 818935306; 201075491; 399453087; 543744250; 294526894; 728596263; 769229834; 302109683; 323360311; 665405942; 143252068; 395059137; 125810842; 302139546; 7848235; 326958696; 27315467; 583972805; 731117013; 46751659; 202892119; 237193190; 257226187; 843085458; 595317128; 850317748; 427644878; 239715708; 191617486; 495705591; 686684731; 1009984275; 828194086; 719755678; 78049846; 20445857; 805861038; 326004381; 878538275; 863968317; 27243522; 739231498; 110511703; 428882610; 37098869; 896647166; 211623805; 707994228; 599751456; 750542216; 1019357755; 650711106; 452369012; 394314096; 232166174; 1011980653; 355966124; 1005744072; 771324283; 434486611; 95761150; 515105784; 169386999; 916875838; 470128718; 567119015; 73294127; 422911286; 740480273; 136850329; 405580877; 222016206; 573340430; 617775734; 32655902; 128653232; 746403606; 334311801; 152074469; 647785056; 277671821; 436761648; 154195159; 64861053; 719528958; 421123765; 761029419; 991971546; 150834586; 548786395; 114532906; 151645087; 504304527; 625720470; 919052910; 832874482; 371144296; 604693887; 672806599; 923956448; 6652569; 332932050; 71648563; 1018863945; 69648537; 913548736; 130892892; 640542922; 373699676; 124843598; 946685372; 609395827; 368805468; 686307826; 1004816916; 741638920; 389095572; 108681859; 688913864; 557855164; 102313337; 674568520; 842362265; 717657676; 798832202; 739924933; 854230420; 661955376; 280369815; 278265069; 987280025; 980892145; 952078783; 454019349; 66009463; 327750816; 738773113; 1018299253; 894693582; 45545643; 532085096; 939575261; 753533017; 915096832; 947825494; 67120376; 1070361956; 51936342; 370349822; 645770559; 697691252; 749203294; 134112210; 1041445642; 754965585; 600624718; 1065964335; 374878309; 1039892445; 246837714; 1051406971; 831734529; 352455652; 417864196; 448369781; 215167922; 340108755; 634734391; 581518219; 214485381; 348549965; 853667796; 786074624; 638512707; 554747722; 279100632; 127988179; 983322147; 632226869; 150564874; 383741899; 109017253; 1040670547; 393164046; 442646832; 520074188; 536180018; 214776632; 276417686; 220738305; 456749240; 824629427; 795763060; 357692673; 89638063; 890884731; 779007512; 586602918; 393733220; 312914713; 570062668; 990070337; 503850324; 439485259; 388247263; 716032429; 958234320; 156280168; 396071305; 282814060; 410544411; 107690999; 275860571; 1019476117; 709507021; 427403943; 489821452; 858956844; 801825324; 637415502; 523825466; 454335820; 161678749; 182378915; 852774732; 655752054; 403451225; 108579337; 183744594; 1045166433; 514657215; 441849987; 908378595; 683018923; 493015247; 615235960; 167452493; 850226953; 705750534; 654327970; 520109940; 726116742; 869509809; 557761546; 82811421; 958940025; 144489992; 302331974; 19189732; 374570318; 864790355; 475291328; 805207553; 1068272158; 1049823688; 398208907; 844510531; 987926673; 543973639; 698554162; 528194331; 186348961; 447622126; 126656514; 1056364386; 29634579; 585592786; 190844758; 622820006; 168191600; 455706893; 410910584; 745022578; 318724404; 289582013; 92811536; 104935339; 263491408; 21499662; 771285283; 224316654; 160738973; 6905580; 218536054; 798133395; 529812784; 513521542; 527226041; 796831040; 743278826; 970229081; 447451466; 304722990; 918980709; 777368058; 827399445; 899677359; 773436427; 844205128; 247357248; 521378526; 847350702; 260318360; 419737914; 734379388; 574208487; 845095893; 50165286; 438932935; 429626467; 160251222; 279233884; 91956669; 751850266; 1006894613; 8862545; 242832393; 712907054; 397440236; 445063496; 878874321; 1051436854; 113542987; 995730; 6226192; 508578876; 627662350; 374241477; 371567754; 1052709923; 717948440; 475133501; 626527654; 685916309; 290733642; 1014637703; 195726615; 540965811; 961606354; 966666647; 587072803; 1004447604; 146360647; 650521364; 894245898; 1005410768; 328649035; 300034800; 930020659; 951553528; 511771836; 807247772; 781323424; 64404239; 563196885; 814922262; 616376685; 867020733; 781831980; 423165191; 205496740; 458159082; 258426943; 455714376; 31166856; 553575466; 123753466; 927110637; 1005086760; 163277207; 88305136; 1033983270; 968231023; 27046759; 1019979084; 184964235; 562311742; 24460801; 987025659; 1071516464; 912049121; 937267065; 694297074; 345184289; 295713414; 636844249; 931842101; 221079866; 825594339; 595770320; 631623691; 667667325; 518014843; 1067740711; 279127067; 196917861; 764308732; 253267343; 445141515; 821456099; 841414166; 370900145; 183320285; 812200827; 487274493; 441268557; 452309953; 347031320; 273031048; 526275414; 716134; 202056156; 473352911; 812888080; 784296560; 601665647; 893085209; 870537473; 876603526; 351517964; 471779709; 1040119901; 121792903; 530408445; 433972605; 782009097; 1063633906; 751536188; 368469575; 406320248; 661848591; 1844672; 878213325; 982793286; 1037262072; 565109931; 857381952; 1048662113; 876308887; 963237714; 253758733; 429352827; 1024422197; 311065587; 578256654; 303289605; 381533240; 938880632; 127676629; 235600024; 782751735; 1005992151; 186484792; 173691324; 1026190559; 118992623; 112437423; 218325591; 855326886; 680524298; 288956938; 550593893; 527261272; 83592305; 580794760; 715384808; 1046928161; 1031375952; 1016882916; 625536989; 886209883; 801168122; 726110950; 405021770; 825463189; 161158289; 594047450; 703375585; 538982854; 50894979; 900695715; 446818199; 483546833; 387022039; 65389547; 30973599; 711401021; 109202310; 302246258; 923817837; 215252479; 774335937; 58816887; 950486371; 696224826; 1013632503; 201641298; 903756720; 430381562; 650477720; 9977134; 659615331; 769131711; 469132093; 180215616; 265453887; 325490771; 620829444; 806450003; 89314825; 49072011; 337598083; 365301340; 1053981125; 32091912; 36253320; 851997273; 594084499; 976322493; 724434931; 806958175; 531491105; 314010076; 183942299; 496678312; 580777983; 637161302; 426947074; 224224726; 940751647; 608961469; 939480384; 767921252; 526641664; 102386490; 538563329; 4967073; 62137606; 929761229; 659210022; 894578532; 755333632; 671486422; 731098213; 669256897; 331973559; 330256252; 56689451; 929074847; 663317708; 348375472; 711793560; 349587010; 1064195387; 590652984; 52433567; 685536355; 279783695; 268154031; 861343689; 188787726; 780500317; 692091323; 665735855; 206988698; 174767281; 43441845; 361096599; 479749386; 949932360; 717213208; 59406761; 753138096; 14034070; 513398692; 422554048; 411049281; 77875127; 948087215; 323959210; 630573760; 834417528; 373723090; 9971755; 192253398; 178203487; 530773357; 246075660; 894564565; 435990693; 771293450; 931725985; 69777485; 542620449; 334814709; 423002978; 775580304; 639230068; 137458707; 94911728; 992175067; 480739832; 332535910; 475944176; 298663827; 445617985; 768782030; 191602878; 898810762; 388353203; 585380896; 310069413; 232330196; 915692958; 858652665; 87436639; 531040588; 427863744; 352659978; 51558836; 16607127; 1018713745; 159409972; 516637872; 676416616; 721878264; 225316636; 397416563; 448797977; 304261801; 1030439528; 935180531; 667797216; 510096896; 854097029; 619140036; 554029252; 715385285; 13100543; 286994235; 723855095; 418541549; 137341021; 701861737; 197925322; 741955581; 827149964; 160795285; 614974630; 1072437976; 761483163; 1058623995; 218466055; 119569306; 597695756; 594784741; 293323773; 741458398; 535323813; 644071449; 402994151; 281921684; 1018233413; 235318249; 533311331; 547876354; 837860229; 169527916; 671943594; 817648266; 73341389; 570238718; 380803762; 406497370; 129188702; 140907433; 497172564; 928441681; 1055969287; 798107924; 366938670; 883797882; 712188805; 807621273; 597998283; 1014691877; 80495405; 79433178; 338557400; 446459900; 610825923; 876025769; 392190246; 65553862; 719110755; 817864154; 538596507; 374625719; 285069717; 630377229; 130828283; 785223912; 140716725; 134282216; 1040160898; 111250981; 865789030; 683578967; 541935437; 791113205; 974129105; 883680742; 247297557; 1041210788; 632967956; 439965263; 239018892; 438551711; 714527474; 505359146; 727562697; 552631201; 678324116; 947437386; 1068922022; 443847159; 865253838; 293039842; 172188025; 1062775527; 815349837; 179566394; 48524207; 898454671; 682875543; 120254443; 701408529; 254543783; 756089058; 656292883; 207308953; 725635401; 120564676; 85347270; 652244951; 783436952; 661316588; 215046698; 616742308; 317568204; 103071311; 419456119; 96855987; 886544802; 590319432; 263214504; 752500595; 1037526101; 848205763; 747686007; 736251787; 1013169998; 617770087; 268627597; 203303743; 346220324; 513535806; 867298558; 211351152; 867950723; 1057195000; 263946929; 860053519; 18316976; 179919212; 701689665; 338700453; 878732039; 273244903; 871610236; 937277374; 295174327; 435895112; 1020074183; 227076941; 1044486741; 101981007; 1007637744; 740904703; 858343223; 93552361; 319537222; 586021632; 204733409; 637346231; 114687558; 881013961; 1018507661; 553971; 369001742; 54187937; 810629711; 267021946; 806264365; 340433894; 610138930; 307138188; 286726709; 128694511; 931528669; 999322971; 695224727; 300255357; 931165232; 308631757; 561813958; 93891987; 695465897; 764905498; 866410750; 1026806417; 656823163; 261395848; 315998616; 1049061189; 662109808; 600424982; 917141654; 2968391; 646327330; 477008603; 417066292; 579461058; 1211166; 792381644; 176316334; 489977244; 521158726; 549526373; 746811077; 940722362; 771249114; 678644584; 281514446; 251263574; 668374916; 406194017; 879612274; 7358700; 212614269; 336523230; 61882732; 814037486; 668912264; 495066829; 1061458245; 431991403; 1033304549; 549740518; 998912064; 20573145; 88645117; 76003738; 694523333; 127427621; 525972807; 105339117; 348872282; 81008672; 793941382; 273675069; 524281361; 760426175; 494550126; 777378373; 383615645; 792048385; 407644; 36919043; 105901849; 62573256; 780765012; 43001123; 154737561; 616653607; 398529947; 402366914; 344821008; 507746520; 136032064; 155244394; 1065801936; 529617578; 883242129; 1025251361; 197675137; 1002813278; 255011642; 202536467; 278083392; 563780042; 737621982; 117106974; 616385216; 991177173; 898701405; 763969651; 80695936; 1031012837; 923724656; 608648613; 890335167; 12330641; 904869567; 557737359; 812993149; 204640205; 777588679; 110994227; 594549770; 134006845; 654562331; 855787176; 79016884; 88410717; 132858643; 700320993; 738091509; 566093465; 160637713; 201870953; 1061282744; 452599686; 562567589; 900704690; 477078686; 337662855; 221495381; 59479264; 838000904; 818336107; 469669543; 301787186; 548721800; 268510586; 1062326378; 106640957; 858878311; 327856972; 841527285; 1024862049; 370289529; 812311131; 175686261; 875833422; 374895000; 675259325; 6637551; 587487594; 919663700; 14060814; 85753324; 737865621; 172756025; 682433248; 989263390; 275430861; 682757365; 406219769; 23247591; 171430870; 360355607; 545970928; 76106571; 617402426; 284971703; 346722903; 3990172; 233319727; 462008530; 229862082; 759684003; 213370365; 512739597; 915586141; 407499019; 714054251; 268698521; 548779439; 825359670; 386927790; 763285737; 44001006; 690825286; 337949607; 557346722; 966082880; 875618974; 861797729; 481651612; 1057147993; 167689146; 512648340; 937501338; 500513378; 573996285; 159771615; 351535581; 175217404; 566615951; 414334601; 604286058; 840207567; 1005425918; 654779831; 823788837; 188984408; 694261408; 1003973540; 293295931; 597182156; 173211953; 346478567; 557636859; 188406550; 342234879; 532301207; 1007497375; 300392450; 941538310; 808569400; 301014224; 401862628; 581148270; 552444730; 144586596; 49418696; 28180252; 559696826; 540915524; 999228083; 102875032; 997970131; 809813273; 320345940; 197972264; 744663098; 534434646; 996883640; 333403225; 71071432; 342628223; 114039025; 525907549; 500455646; 72219784; 70210832; 79344157; 469715655; 773121218; 358954401; 772791654; 750666387; 116156216; 741168812; 596516971; 1008885705; 1037400730; 545882657; 671690919; 72386867; 215268494; 998317590; 613607043; 726209699; 274889156; 145047297; 26368579; 534485420; 533975035; 23635822; 732824919; 219527634; 456264883; 88318700; 955890841; 15898034; 47539112; 649176668; 1072839659; 696528197; 761713120; 853517278; 31432523; 519129490; 911856092; 121874704; 991487394; 81386599; 957246579; 185472658; 192950030; 537935635; 411790660; 839186117; 765266769; 588743528; 777031060; 262849784; 539372440; 985887438; 901988259; 719688231; 164589033; 926363622; 463657468; 999854743; 716951917; 558485331; 998081113; 595612519; 37846704; 509476870; 717656006; 1071711743; 405014762; 503983335; 981252687; 867884773; 351860563; 407401820; 71068494; 601783507; 423737539; 927579273; 212681885; 559049983; 211076026; 264642940; 598927480; 770587100; 814428519; 698547733; 355336347; 435963444; 325171243; 729209987; 732573742; 789044631; 1061189232; 154413317; 8669511; 235555143; 509663536; 795965308; 737996080; 851320033; 550358690; 167519346; 720668888; 187526361; 722177897; 168073839; 484757855; 333905752; 679780197; 465215794; 255048471; 768598742; 293106847; 501577056; 180965973; 89740253; 303067557; 607994424; 1022009085; 224581827; 687235272; 466001276; 313857249; 681079685; 344096719; 876508814; 345594083; 464511310; 670057548; 116769727; 249407197; 425349310; 777756600; 153440683; 655847696; 191869986; 232609523; 453693876; 9921905; 929275610; 1023083013; 768953707; 171193288; 709053719; 416864172; 940677268; 1044354090; 183900514; 993559061; 326820039; 928162974; 58636589; 7962845; 347420231; 442739373; 292629597; 64013913; 766041697; 735384071; 841515154; 19301724; 835426789; 251515994; 307621534; 968720653; 352169043; 652645669; 192698921; 600982117; 843765671; 818916686; 824577318; 881414722; 278306518; 837802494; 688263294; 155349018; 272050487; 249924921; 363934800; 204787821; 681027762; 736084841; 562606553; 125950858; 278778824; 749169300; 884608167; 432932878; 754508398; 165659990; 664193110; 34428447; 226362488; 814151235; 680131020; 841788622; 174699610; 189304218; 343671229; 999663231; 624048075; 30456920; 740333825; 178702372; 104181291; 608396201; 269827695; 760816430; 561214985; 93258024; 132775107; 241332716; 486718764; 97826810; 679256638; 60252410; 34913247; 271012271; 604494363; 413501780; 765728923; 807347228; 880185235; 400633824; 576884850; 588024071; 126732481; 905803388; 657008316; 831772526; 553588487; 141027840; 753485630; 337003553; 701538505; 184041357; 120339173; 801104215; 826588293; 180606045; 99195871; 955751793; 746927050; 1047617051; 644134955; 776359874; 271159119; 155656738; 521662089; 620083507; 1042824649; 544262050; 522137107; 312275534; 466323364; 84929726; 228123538; 827499077; 971569866; 490957458; 655331342; 552105665; 666274648; 1032209897; 658648893; 196837392; 772194137; 1065820401; 413973667; 649633647; 937737172; 348711350; 976432422; 325050831; 283771079; 394515873; 606598447; 375901537; 947343589; 255327434; 423466435; 689641965; 594891924; 416702804; 737994263; 1035140367; 533308905; 376256915; 23766711; 387392658; 736369202; 40098587; 265252246; 982562174; 340829650; 263562438; 11231667; 78431554; 636712932; 400875413; 278522668; 133682420; 82550961; 771839626; 302128417; 777540476; 604127653; 196755183; 548471586; 479550493; 445187030; 533187789; 125453900; 811605420; 572540007; 1071373707; 988414479; 485213031; 312911178; 272625746; 63668393; 638595524; 994941892; 437496535; 931122186; 29473338; 655533008; 354075575; 202183567; 799269473; 235369339; 111504698; 832771118; 204509927; 127526356; 35942223; 477925441; 757995268; 594991621; 375714001; 556924165; 347249702; 182589573; 959682617; 967984864; 927674236; 498520404; 877402757; 856005971; 702881652; 44289532; 58808608; 214203918; 288929320; 670809065; 617254115; 921425562; 597608803; 312883832; 258363118; 672880375; 601967096; 813149418; 91720084; 643423038; 789372823; 1071909043; 355951429; 956696721; 145481474; 1040949475; 162512282; 285890902; 750812031; 201802209; 508451287; 969228919; 179027350; 703490050; 963708191; 962044403; 433463819; 278471250; 158749175; 470027655; 353110374; 930725141; 314998827; 864777845; 292850035; 900269907; 636995525; 371934474; 17914022; 646837451; 217717216; 1070379872; 1020501242; 241190566; 799690788; 655782775; 753655750; 106117685; 562469496; 15976572; 315135939; 722735881; 731120912; 342443686; 866970799; 652935196; 42953542; 948242817; 474890209; 842349083; 1059554145; 557264861; 804505259; 40909166; 690580949; 599541246; 32822003; 424251423; 811410653; 341278106; 44552214; 642860047; 158648990; 498946238; 46347477; 196168128; 514726788; 146134511; 378860091; 48895987; 211754758; 11618403; 82601730; 569093741; 92913862; 814411869; 1058136001; 537254272; 415073104; 505721736; 1011031916; 267984237; 124718742; 210103064; 96269606; 544911875; 966881254; 316497378; 658587937; 1039907317; 595490023; 136359219; 920700028; 820464728; 834048791; 94125734; 582375946; 24946137; 1015772007; 1049285220; 952184251; 118074747; 588460304; 401235642; 489322069; 195121538; 801679429; 77786423; 844579595; 317176140; 483043139; 408902646; 573115050; 954218558; 825026410; 522370000; 678054768; 331300208; 1019631972; 177624897; 74827794; 1014431706; 898462822; 591837184; 175735603; 151297495; 926589403; 181946031; 765571334; 32561886; 265404282; 617308322; 768835571; 318718203; 281987630; 77743811; 328649386; 638679149; 376336031; 821704758; 789793609; 517612949; 674704036; 328003458; 212136841; 753535468; 948027218; 824095606; 242891034; 786898874; 794874250; 909238979; 658399553; 593434701; 339275692; 964904066; 59253416; 144963905; 477741429; 767146520; 38040089; 670843287; 211656946; 297746162; 981179497; 775643387; 699870120; 506522828; 672887831; 22852588; 277144518; 29094520; 1062563304; 832122849; 762168648; 1065951637; 843501283; 143874237; 395886932; 425910187; 1038369533; 17817677; 739379094; 711254452; 880552584; 374830747; 839740329; 314480248; 636984425; 412055817; 156016730; 699320229; 269171981; 913174710; 400910905; 1068692746; 252593829; 487070564; 560062139; 610206673; 297341902; 246806484; 659748971; 194320543; 920235897; 719441205; 899258234; 8045289; 131553318; 693214065; 903969843; 633338284; 330765521; 727824336; 727616883; 283933039; 328217796; 632015250; 895339542; 542591735; 1036060792; 1052656460; 290837414; 251442959; 424028952; 1011940893; 280429793; 652830280; 949772116; 359995092; 910266732; 594583617; 411404668; 239685175; 833017910; 146542616; 215742750; 428308176; 580878194; 39967612; 288158586; 987676599; 986540245; 474967227; 249693289; 626599813; 1054370795; 9297207; 865007457; 943390513; 1055195172; 519147435; 537881759; 697597417; 817452353; 724271155; 936613609; 199463581; 715250292; 945292580; 594164084; 747298509; 738299532; 620579626; 69755768; 1061728973; 316960781; 519605095; 151797268; 703074721; 5865550; 617863662; 70056780; 543227255; 1010965276; 621003862; 215998542; 999602508; 684948259; 58004716; 880170061; 383884852; 242503199; 26612360; 1001642162; 974513626; 330269801; 34045366; 108292280; 804551110; 362210581; 685850443; 848498916; 867900092; 331270533; 768832928; 780813347; 167524235; 75061408; 466130322; 920765015; 239889934; 104737595; 821169646; 1062222078; 267436394; 225255455; 530139411; 896525786; 310725808; 934305105; 80438039; 220891955; 681065488; 822931731; 978694525; 675544544; 892333011; 809720130; 1013656152; 366084448; 873718443; 870701427; 719051127; 882359156; 705217555; 153293399; 539751614; 750457406; 1016268917; 640392318; 768560072; 990095811; 628608468; 596470101; 789480911; 987997362; 455503511; 398504581; 114923652; 6288605; 735651946; 745636561; 635561215; 475826539; 419742401; 749714540; 188997333; 403605940; 388527803; 247422390; 624604612; 674540959; 937614761; 886899704; 240929707; 484943730; 465889987; 935908609; 29269701; 581897129; 397511149; 903440451; 646791278; 224562946; 62241235; 813057147; 40058128; 743688030; 54276785; 1016279839; 555544804; 150633916; 815648502; 432343872; 934043507; 161722197; 245758956; 185689580; 35844201; 841155927; 1013049266; 1030899914; 9764820; 333000292; 973605794; 672656446; 692082345; 779252714; 149743385; 299556229; 817713529; 627273268; 891287792; 349996558; 550808184; 1059971450; 949389265; 783652740; 1039250651; 740324906; 251281767; 804484798; 644189369; 84440913; 404638715; 54362482; 326217802; 166911407; 640280676; 224527769; 252115907; 872519294; 1024312296; 856750185; 746457506; 983058914; 714947850; 973816275; 4772115; 464099814; 316274290; 596749418; 1000888696; 31626887; 44532290; 514824525; 201056708; 1016589196; 533644276; 809691252; 629002401; 707847151; 876723543; 167721266; 492825517; 779656271; 150007639; 716160319; 475373087; 80113556; 986434533; 751508719; 123599725; 691269294; 1032340863; 236752488; 975412894; 605854110; 928280639; 479999540; 432654977; 748920130; 31117621; 857374493; 81011139; 324927012; 8642423; 1038525155; 717688824; 620666772; 542393931; 885944931; 134550773; 743817483; 876059998; 2408024; 396787996; 275511984; 1020816731; 261014661; 958044724; 772598716; 553590089; 809965897; 670660265; 609991899; 840678731; 276517678; 979451802; 1003127285; 925921765; 91714884; 855242713; 723941485; 954030406; 807803004; 323034842; 667229469; 686343599; 823491179; 970177000; 623777506; 262143920; 433767381; 96652232; 247015414; 584858928; 140197340; 652503543; 44198059; 738569035; 343866284; 409541425; 749942023; 925886102; 863037228; 96924259; 945814562; 454247034; 1049521474; 438822506; 396021634; 74417611; 210390172; 970621755; 1072660878; 811793464; 273023655; 676734290; 526287109; 543254078; 469249905; 912384200; 3446867; 1022212144; 226039037; 636557097; 380518734; 392287945; 420475414; 476698652; 165469284; 689930481; 760354096; 37073520; 231316491; 120306892; 951641233; 135090684; 584613471; 287710051; 519800887; 814186546; 228987084; 42385325; 717571203; 365768865; 340948552; 177496402; 532652727; 265197110; 527436772; 959523957; 511971991; 1011597910; 77095263; 724144331; 538619839; 190945967; 396438176; 55826380; 431291489; 344254731; 969978390; 235209408; 245754236; 886983894; 501290307; 183643457; 695939897; 608287264; 673141635; 626654663; 399654705; 622968391; 567665475; 176560813; 802128226; 655895332; 320880719; 839141206; 422315938; 217286926; 446559061; 808293350; 657868119; 377501572; 277713089; 549223431; 355840002; 603482753; 542190544; 783383059; 114307375; 206592175; 386767361; 537114398; 196193031; 560464709; 681097462; 467978279; 480504219; 543026557; 1011557936; 511791453; 674200434; 959797277; 872249004; 28606918; 844791354; 612037087; 126650447; 968308252; 822803602; 563323357; 966925896; 1023223971; 935994019; 718238548; 38807179; 139490776; 8756043; 288475801; 211308152; 93161581; 780205641; 751394770; 77255203; 425965459; 942695901; 597244150; 382043372; 858451215; 899783753; 944662137; 632431833; 1044012127; 504976831; 163278113; 154766761; 127616311; 775114692; 966479683; 484247480; 171358838; 873034021; 998842639; 487567546; 585001480; 14235468; 876175636; 1020893519; 350630917; 263828252; 696882693; 403562025; 687676262; 767263603; 430035444; 324022851; 932342852; 218585627; 1033496023; 861954677; 930872731; 680930038; 1051164226; 768504602; 882572767; 691138208; 1067226673; 50046193; 636182447; 354765565; 702431284; 265200120; 1014721247; 431320645; 719182896; 953667534; 547684926; 594209108; 657655362; 559732320; 783274709; 1060482160; 1056130055; 581567257; 773641276; 919511990; 891853543; 96834104; 453469218; 146388018; 49230675; 1058218953; 426632647; 340878268; 266423834; 371098371; 191605828; 118885525; 577076684; 122427254; 616989929; 236212428; 968437460; 892816519; 57416137; 566569244; 577375239; 341342856; 222122809; 490603758; 221478697; 396681858; 403462626; 84875857; 643691327; 431593060; 260943923; 359676198; 630205405; 602376792; 604846268; 187900483; 275784141; 129794627; 358514043; 395160178; 704521656; 601132435; 88445112; 785572898; 784001908; 349658085; 993462590; 1005760632; 745536638; 441115285; 27920054; 706489842; 521704661; 302090872; 1072483239; 995929576; 871580546; 1011758557; 606892025; 423728790; 843513957; 566218736; 662465582; 787245032; 452648118; 186360939; 777142103; 982623337; 462653588; 554320543; 578500207; 460749487; 822150044; 611017752; 119713062; 215647151; 545312884; 100991197; 801745376; 288465173; 1059653766; 949152743; 1034979350; 897198218; 744393424; 1048410095; 954106095; 570864812; 610196857; 449807878; 839843232; 913483911; 119900717; 803543638; 382471485; 693163889; 765439681; 231814019; 259030015; 292715668; 345324989; 847452202; 163553908; 382015949; 711163713; 917926342; 852650862; 192705727; 85737165; 530159939; 183086341; 150320607; 799488047; 485704371; 972297313; 822838381; 403345449; 98254919; 879979984; 227826142; 856945214; 652917748; 366455853; 504331371; 1008580253; 849867823; 1071834731; 772215622; 898109372; 515385516; 826255580; 613946516; 1040248799; 1052066207; 30316558; 735184403; 996178422; 311669368; 614969313; 88516929; 1065099262; 498710921; 761326028; 1053434479; 226797976; 394629479; 812899020; 743103301; 899632935; 713362255; 986872547; 396320236; 818340554; 805294098; 136007518; 67395233; 803085909; 844512877; 553953662; 1043846032; 68232404; 625707540; 929205136; 239590227; 150086628; 846979909; 917771467; 71689940; 244181314; 527624309; 531997708; 235437390; 330497823; 973413967; 933526662; 218599569; 444955904; 895123844; 1008078956; 718590107; 455893694; 581827901; 523143906; 870871139; 554261024; 498459546; 584989485; 642565511; 548852736; 1049869128; 633386024; 211457789; 549206490; 27289082; 511048802; 665607154; 863854985; 1036240815; 498509346; 450546778; 780718746; 939681330; 656095826; 378187977; 130836402; 241641407; 220737199; 1003855074; 568308737; 330195400; 461797135; 807660988; 162400209; 354847715; 667783644; 822301230; 1038972338; 108430841; 202282056; 789092013; 423468650; 969708884; 28972948; 770417408; 425975837; 164009928; 525282345; 273869833; 1055699509; 232209180; 668353675; 872713821; 1040684817; 778152541; 4508033; 511997163; 544654272; 695927659; 192205861; 707422655; 51623061; 447547494; 889935705; 804489580; 123880302; 57046338; 842581423; 531356230; 755283195; 765118054; 326779869; 245432432; 257434359; 426379279; 962052281; 1044622687; 759873160; 273562545; 106018423; 20182336; 1027620875; 283141253; 898493881; 858233326; 518931269; 512149988; 454946029; 929167780; 199273109; 156515168; 54533705; 845794134; 742708325; 505247211; 871622571; 503824389; 975139737; 724525273; 36570893; 464316842; 410330390; 1019567008; 98543597; 792265591; 767141428; 250177433; 800412530; 143610051; 80883066; 899595322; 579706934; 50302924; 77377922; 390512246; 1026151111; 862585103; 742997366; 786649325; 488551153; 106948651; 459846847; 499338488; 113215359; 887716554; 766526950; 246409209; 690602295; 221980084; 1038244799; 860827742; 551238520; 151863455; 442472399; 1049542473; 294567460; 167109218; 390086631; 534041811; 715028134; 903405300; 161448195; 290016035; 712741158; 568587226; 446472761; 369329466; 788187406; 157898794; 444688856; 948058280; 224914212; 271711863; 552688702; 608321929; 491163164; 858085562; 413544288; 149422721; 186456768; 891315728; 959152240; 600065245; 853114169; 131434044; 836241108; 365193487; 322865408; 249341966; 288878170; 652687844; 401924297; 739737785; 247062279; 584704109; 91208123; 505806404; 1062861384; 90826409; 727940199; 762579563; 451996698; 850320958; 765677950; 732830414; 346871016; 945273801; 5161293; 569087598; 867788665; 986910158; 337139458; 32008114; 246699189; 391759010; 673922606; 120950683; 977752706; 508167660; 62674478; 577554112; 634711459; 709074454; 988771452; 138984920; 561207269; 674972544; 422647229; 775544278; 241655543; 129386903; 437358597; 1009688270; 590687920; 952845531; 1036815719; 859919307; 833420378; 150112825; 708418473; 937266693; 236855380; 261136607; 540610444; 545133217; 61650620; 43735268; 251580654; 117295403; 321545612; 251090772; 156518041; 129246722; 710007757; 1018043552; 843690161; 478761463; 946693658; 1000941160; 597205733; 541541889; 996044628; 971662860; 767853002; 822175532; 592204425; 143554603; 732427549; 113041412; 645671698; 726164699; 640009341; 925571587; 659822440; 425573090; 504367549; 624099247; 513829914; 446983222; 640861864; 546632177; 924753692; 64320222; 133105353; 281422269; 933484803; 481271672; 501201950; 832976467; 513278619; 461855983; 1018226919; 565515144; 274623045; 335458751; 20571277; 600216815; 615829480; 786033986; 1041095831; 489027767; 870618884; 8757962; 828046324; 1062025952; 509505044; 460993243; 349611567; 894195340; 90034413; 385237273; 652556940; 368416873; 107880634; 291812685; 425303746; 256706460; 164014437; 844560080; 749439943; 803857296; 373383264; 55458392; 455394984; 668243431; 213517383; 270014022; 318536242; 187168690; 347218917; 77242857; 82100582; 330562322; 656719075; 655669577; 786301569; 38922433; 722232875; 703708308; 985662839; 303719635; 128617389; 583079982; 449404401; 724034995; 316946708; 694113990; 635503339; 990437995; 594111754; 960647578; 678838450; 665526325; 2032673; 93828896; 802112574; 308586626; 603082324; 831812720; 143480725; 550859949; 290227405; 203819682; 78977301; 930939169; 111177482; 917360571; 305272837; 423260931; 188432405; 104819744; 880306579; 885213947; 339857900; 192323750; 630970981; 344506156; 577060036; 65366460; 68097180; 825785004; 406200478; 204800957; 629320924; 685250710; 372696082; 1019264690; 999877239; 360257925; 53123119; 276459749; 940066599; 960689310; 718084065; 232624581; 890169974; 199033036; 944022176; 607272929; 505482536; 230516265; 209661411; 880439959; 174662270; 1073162072; 389681382; 402996260; 658891130; 183176699; 379065446; 1023824497; 690701500; 547855008; 705229242; 259847356; 713420621; 390368493; 1026583518; 936349031; 41926687; 694204584; 847346012; 991777791; 55145470; 642707357; 549652586; 1028514127; 1063149919; 252047030; 228298870; 291664111; 466563653; 667496273; 365911101; 538468039; 1064886019; 308048985; 494663479; 187740655; 740719832; 251126503; 991230979; 398057670; 917806593; 152161636; 998152024; 194790266; 861775522; 879070246; 625505003; 443520483; 552064517; 409154093; 115831779; 659941329; 834494734; 843810471; 812944511; 1028001347; 295905033; 640377515; 580042221; 47371578; 739803867; 336441261; 782244593; 6147248; 594407257; 471571543; 338220232; 101773833; 518136639; 926697698; 339001675; 728671766; 908155078; 816341933; 108405967; 885132280; 205570660; 517814036; 72698618; 717659802; 885412653; 1000490130; 200083160; 603340460; 472898467; 1016109796; 32379648; 610848916; 950911506; 463186054; 405230827; 497154844; 743048117; 502028179; 392752388; 670398938; 343574860; 764035603; 28311802; 425849349; 567295189; 167382873; 14610642; 960538131; 984204187; 894066371; 813744523; 915604836; 329299965; 727003723; 712577512; 1006389432; 959418533; 858531641; 624217683; 885890996; 49584645; 970684347; 46928400; 8240013; 496434950; 329107980; 588331992; 243785850; 1011793359; 939596743; 453031660; 628406639; 272980546; 380171893; 1025664254; 830618767; 32128106; 465161445; 920656879; 577289927; 117711902; 786918605; 814009350; 561583642; 653903406; 717770706; 306532041; 438172899; 102221227; 792699079; 684181241; 812083759; 1028403965; 87860055; 875055105; 829143953; 459080123; 56413293; 867087079; 818720873; 602279332; 1014762598; 824667700; 895626592; 819923448; 507838988; 547741796; 779766359; 365625747; 462838581; 687980083; 625555909; 901425168; 482108260; 296006911; 576325289; 1019428636; 795425350; 253628036; 182954145; 942545013; 215532621; 653362408; 468494011; 27266992; 943893814; 363361244; 289838117; 957213739; 556138355; 852203674; 795681062; 137975028; 1010889927; 136419927; 620787932; 226555434; 847017069; 668389087; 22553736; 311172627; 1069404386; 304668759; 13561203; 131327423; 481953614; 794806839; 950688247; 239584762; 967246339; 103890712; 92736085; 275179468; 33922641; 655045566; 199337287; 816837615; 744592509; 850938252; 588326617; 1027594666; 834458547; 475553302; 285772060; 347042160; 792997329; 766058259; 826558804; 849467305; 483538258; 471516889; 769551202; 133211048; 402569138; 1022848980; 105136211; 898369547; 448338563; 223602037; 751980511; 825812200; 983177593; 599211822; 226645833; 211474422; 14648649; 1057039908; 901456303; 73976144; 549558054; 212963575; 452542580; 980647229; 348356365; 335158199; 104765509; 868241459; 123969595; 338846648; 877903449; 347616102; 297923716; 425351450; 811017086; 136901803; 664786257; 379982069; 798959510; 307220420; 591966539; 64332457; 37451432; 441885293; 184343293; 172970903; 737588252; 61615004; 158129568; 92099115; 90820383; 737402398; 291098603; 72643781; 103081010; 178592547; 692485429; 305376996; 249326366; 1019459724; 459391176; 913560967; 1027642467; 616756054; 568227600; 936745275; 825013889; 829791926; 258421962; 777682732; 14845595; 185596231; 474936225; 388647345; 13354629; 407374147; 911155993; 30454375; 743239903; 908705890; 982039202; 1037139149; 815697489; 1038020196; 395883643; 854883218; 136431443; 415338771; 667266280; 427928714; 822219077; 686766011; 586949861; 841446182; 294587939; 920470709; 201101801; 959179774; 525469013; 992146202; 808903683; 512111330; 123410725; 271034654; 365869823; 119700725; 844860621; 842681506; 941307280; 531177455; 697811615; 578945247; 445668303; 706139913; 993723755; 175463821; 732269138; 866049774; 262930854; 532362874; 237811556; 566820571; 70389491; 169322419; 177806650; 286256010; 908823931; 128195867; 439223718; 467575222; 243660860; 25275613; 887380824; 949908528; 191283964; 810482243; 1048633195; 151866200; 290101266; 740948234; 1024994959; 206063905; 977999457; 883292221; 873491449; 778884305; 215679178; 117503670; 312792799; 964190115; 226703119; 396956035; 403438330; 462602314; 129852749; 957812420; 166527228; 460777704; 806244306; 347833776; 300913940; 67919860; 423288844; 87860863; 69118647; 687112654; 892336004; 318703258; 161273937; 382027688; 439912087; 425258983; 112526094; 1048152247; 52635782; 711254730; 513453156; 10270255; 861315830; 621163989; 134637236; 784503935; 208794944; 22638085; 165248883; 932302829; 899740626; 345036768; 772793174; 255415239; 992233233; 4826986; 682012972; 880354359; 58136934; 881370421; 1020046305; 893574144; 765553222; 176535736; 729988413; 63409907; 752402254; 679196866; 30256034; 448707452; 102311112; 221589700; 237345664; 523690230; 255305386; 223902542; 844095166; 493442051; 518277659; 153731060; 687693850; 498176186; 678756200; 8815543; 1031949219; 410337048; 434355916; 569459841; 53198125; 1016689510; 138017492; 862675070; 851390598; 980459354; 259150925; 94203581; 963396604; 17762248; 469709184; 322073908; 275466463; 971864984; 875554597; 59653994; 410215490; 308336619; 920936394; 766310827; 705015955; 203282764; 99707634; 590218369; 476925922; 608564848; 654186102; 734971011; 423710857; 355085487; 319710265; 721405777; 797193193; 296545414; 896353510; 797972010; 425074120; 606225025; 1013388579; 787117788; 919521839; 1045604031; 987599219; 121686210; 704140418; 599962181; 740274967; 152338615; 345601228; 509051268; 342799769; 756506757; 262891620; 82781730; 90798609; 861636918; 302108416; 410585209; 414272494; 1049503749; 898997316; 211616461; 406789296; 1072907118; 347274207; 86949538; 50241879; 530264446; 148308046; 271546438; 197076472; 768436613; 320408285; 754297647; 119972305; 458107348; 780117426; 894641432; 833230119; 1071879637; 735341413; 34561992; 596873321; 169813943; 757893088; 548922390; 349313706; 471818244; 284373359; 649394431; 753679671; 615307327; 269041165; 423124692; 978539627; 596591059; 943572962; 1059845301; 468586536; 849585847; 587176863; 755951938; 290461129; 561318193; 1062361854; 583570245; 57745636; 118583576; 487721294; 306954721; 858276070; 753253146; 671490943; 624320347; 138111073; 491451602; 359904009; 708826406; 654961302; 582267105; 126261706; 659775333; 328681306; 958737286; 169932643; 537839409; 149507375; 520745308; 94256493; 718364386; 320250923; 3977326; 761507000; 732844690; 307805165; 487950293; 992003877; 376149762; 287871295; 104900823; 362086866; 241872949; 5308699; 267694766; 307303861; 572579937; 593059946; 455279067; 640174786; 758122902; 942397136; 936651753; 907441602; 180737206; 380270538; 1023272802; 110467580; 392795110; 14958137; 739105278; 850177598; 340480658; 677518793; 513136691; 969726728; 768461281; 245141244; 687332579; 388655347; 401777688; 669776647; 451833159; 379399824; 1034951239; 785140586; 584095350; 697068285; 599119094; 1008561020; 595157300; 682419167; 205383272; 722007344; 179889331; 190614883; 629447359; 712582419; 353127837; 413759762; 722898324; 855228318; 1050559998; 482189213; 514000853; 218752135; 289160200; 817131873; 406447482; 823289907; 771046502; 140851205; 328346013; 66530421; 791255287; 495793978; 522805662; 653560878; 843156156; 27510954; 189740301; 64251198; 848083609; 675583452; 405685978; 894184292; 836205782; 563469154; 750957879; 29368760; 979437335; 883647952; 994458974; 214359301; 719299308; 890377213; 1058000573; 512496598; 55196756; 275336292; 970881705; 253828353; 352434285; 506709770; 296555267; 294183843; 747368521; 533127342; 963580761; 669623124; 322868536; 55276565; 988599718; 770750478; 1024899941; 487621070; 476162689; 60523309; 429241935; 255840531; 195483650; 1064741422; 207122054; 106722984; 933465799; 335986570; 256643350; 972143892; 55893865; 720142166; 649002472; 385537437; 230716501; 1060354331; 276664924; 1001562839; 79706065; 649268262; 19788913; 750142279; 535503267; 340036878; 186152285; 523540908; 205317899; 1065794160; 348662723; 316154634; 556145020; 834499726; 638488301; 466898651; 39890849; 434589463; 678517291; 368328762; 881950617; 574844341; 419512106; 141347939; 978310524; 808622018; 336213117; 1051291377; 608491224; 771622811; 750295883; 220727747; 215367824; 454619999; 323748258; 661366177; 116798970; 758559243; 523206706; 381604160; 265520798; 668174764; 614597143; 227073165; 501694624; 611598226; 132676126; 691687259; 556305279; 1049306615; 481815741; 540727344; 641983057; 818338929; 913457498; 966181418; 322128007; 414507894; 313673831; 557635692; 839863407; 1006389148; 310881840; 800649335; 81721414; 230697679; 242898442; 329045645; 179034803; 591636235; 236406300; 279935374; 136437054; 222709092; 404751378; 344395733; 345650055; 392690612; 36991683; 803167441; 253320761; 960748531; 327825611; 305752279; 1048691770; 617509984; 1065766993; 465456934; 654536031; 902921849; 30485196; 1039381721; 823816090; 671020109; 584804089; 88269478; 173489636; 484304633; 121159741; 37385090; 266771967; 74149510; 599334159; 247728864; 986071611; 551565197; 589630526; 774377254; 425246950; 783675816; 663272136; 592276638; 646079171; 1012391601; 399220658; 403402630; 598951697; 408838299; 109114436; 944882043; 460567136; 701427790; 428954421; 762814668; 767058225; 126658748; 70172942; 346531260; 444339875; 619852642; 251319250; 776252444; 303716477; 269875283; 684512433; 535284164; 786457786; 390960739; 25810272; 1023028458; 317489675; 53859558; 248777967; 157347999; 414047011; 246035576; 656060488; 514990516; 492366387; 564341906; 66007348; 1035759049; 499696373; 824151028; 183254635; 910956203; 639379734; 610611802; 252916328; 508893202; 738931527; 676900908; 418208324; 220095587; 213412009; 1044286920; 898276931; 43565609; 87299010; 200647255; 429610211; 61889529; 770979216; 374481349; 960191283; 726111039; 584643164; 143782984; 53793349; 856748002; 390262308; 505003346; 175129514; 219195766; 525674402; 964909829; 144237691; 517593865; 56570974; 320199171; 872224832; 343155060; 147099654; 254657468; 929436137; 1057528302; 962745343; 728525889; 20074559; 961321862; 584440303; 560128848; 779365425; 934333891; 508632674; 982307439; 744510929; 804527187; 130558309; 331907117; 297224545; 826710053; 718059829; 212727610; 119319904; 216242214; 6947972; 493286706; 67462998; 954162737; 744348136; 57531078; 943350168; 1026731746; 897069607; 74556420; 4290713; 668590515; 1026319789; 838919446; 223625331; 579808345; 924920273; 555462588; 918017538; 1060039492; 599494077; 76967383; 756626078; 181827082; 486644206; 785935987; 809856334; 23010526; 465398870; 1017922096; 208730448; 130639207; 692502773; 591955754; 444203784; 861287487; 779442589; 790933653; 965033405; 376840652; 801054055; 94215069; 363727009; 753626520; 386579862; 47135813; 723809506; 230484871; 201543214; 709657962; 244944607; 72081091; 19417573; 857883930; 180419298; 822548772; 728464868; 23799186; 1035651826; 715144449; 851024682; 762838084; 854952422; 638555030; 645576445; 154770300; 378713809; 64252312; 347465098; 779750912; 45028500; 623119264; 343094146; 258068289; 179770800; 726940322; 275603890; 481722948; 12188076; 441573200; 305641066; 194793739; 290192647; 16364682; 653209982; 288416231; 232193623; 539768770; 876298303; 800572183; 105426411; 816661563; 599023548; 379806043; 177943995; 192953468; 999423877; 373485076; 646292894; 246728578; 447202156; 871177926; 571051217; 276423424; 114773949; 469919393; 821761869; 953967896; 124586559; 417242061; 483275451; 613760326; 529277565; 992084117; 878781422; 226188392; 663629024; 550046441; 54943047; 483403686; 706541972; 942858254; 944264436; 181908788; 279628521; 466306785; 327017810; 81489781; 405434408; 43005999; 823747070; 580967237; 974047493; 296102218; 942720748; 535928311; 912114398; 961829311; 594695770; 435123605; 857559086; 913845654; 466758865; 140568991; 626059535; 270066336; 197452744; 776813621; 1019556054; 145531642; 641850930; 331430504; 142029648; 782779151; 892085570; 16668461; 71612965; 787287353; 257621623; 245694393; 229200809; 835811388; 5773568; 858485577; 499838274; 598760786; 397354172; 324616047; 520678447; 743731390; 614106151; 441230878; 627521840; 33631094; 33624426; 60684536; 636359249; 226790944; 276089965; 152270828; 418280540; 909808056; 986658850; 263614695; 655686342; 954047247; 259313837; 968190971; 86948939; 1044144995; 815509020; 756867395; 204766473; 25581814; 211524104; 324766792; 623172656; 361302397; 476190420; 476887889; 121217340; 222762115; 458774648; 401743169; 527860093; 144570497; 88835298; 408738166; 171395453; 563553167; 189446807; 476609035; 374905476; 68941800; 275190240; 152071672; 735728702; 393064213; 565416887; 39795687; 164208494; 922342943; 564122173; 19872276; 606726017; 465379023; 238661771; 252959397; 105597902; 305971476; 751824833; 340310854; 286175236; 403907513; 69058535; 293917628; 634919155; 225503620; 538500383; 1031343100; 1061182922; 898017865; 429242545; 780693681; 438704576; 376665052; 531753916; 366284893; 776624609; 487357301; 404208473; 699481544; 937597144; 77650427; 596380243; 958130675; 880234566; 382655005; 833038827; 989575590; 18119240; 426299496; 44604967; 819161025; 286422517; 338625129; 771642433; 860463564; 397937349; 318936291; 953972089; 1038050863; 846692933; 652572665; 382394799; 795815263; 272307874; 882546824; 458696268; 25058370; 611849577; 19608047; 807843056; 780171254; 580722785; 706932007; 1000741452; 642579716; 278598676; 1018241638; 1070983583; 571153624; 971989755; 371083242; 156813001; 397582275; 89688863; 156385201; 251414817; 1062424331; 540962915; 199700001; 997849326; 43295605; 332446755; 814040426; 303313018; 858504172; 734317915; 20914902; 269732390; 755841037; 567978540; 148666719; 820908887; 142110279; 322584715; 1028422912; 780765011; 849245330; 643830901; 58839589; 957648893; 912515354; 615030261; 842250949; 1059445737; 150114799; 199536733; 481364080; 465076946; 994740460; 994676141; 128970664; 1002321184; 832683216; 252884637; 714594862; 720946779; 216691449; 943736770; 183655603; 724495009; 768787307; 491489839; 932618730; 759224641; 339965285; 1030249383; 1004945653; 353641715; 156950192; 915925157; 1014300494; 637651964; 544341207; 228968843; 292251992; 991278365; 624048544; 632876200; 1055091238; 818375163; 754755728; 695434080; 709881875; 1002584017; 1027817726; 112752314; 95085172; 556201172; 456819952; 596541249; 727912044; 617218625; 649719449; 630528649; 974373621; 820748089; 706712310; 532111234; 326914779; 348446572; 988004086; 623115271; 785154623; 145536409; 130291161; 706166447; 752118111; 1029556016; 999332994; 509290786; 461090316; 665406808; 310075552; 497674579; 280850411; 755394383; 69364433; 949688308; 714332276; 7293493; 330302738; 30305245; 307408033; 843771995; 883011743; 824946027; 526317865; 426911558; 804696676; 439323217; 962292438; 686485255; 287457667; 104553915; 302560013; 368285593; 394042887; 881027697; 259969630; 373079566; 164512349; 354170734; 573870935; 605850663; 704457057; 976343587; 199411177; 726783852; 693074819; 463331443; 674594835; 1028767367; 462134670; 819259527; 600289959; 708419150; 59239795; 693471739; 907674165; 306163355; 162329994; 721725670; 548276588; 301557747; 574074487; 970808706; 456795924; 73823315; 495316311; 881592158; 954316385; 832809024; 22675865; 367781212; 877760052; 1068003665; 834908625; 692887191; 358903232; 1069255793; 383117851; 715946104; 1055400709; 167364618; 609430938; 303684691; 255118376; 23070290; 284968063; 361029137; 558641794; 980446582; 835702103; 236069898; 545225848; 352773020; 376335222; 145339076; 229220534; 304475098; 884036881; 1011661051; 15088216; 115276570; 671780389; 881102691; 795748573; 248749015; 622381439; 490243078; 713117878; 733474961; 1054355317; 597879438; 76156896; 117591301; 92190008; 674221525; 180064310; 801572550; 428589507; 288744366; 70158512; 350651021; 761093079; 186795041; 259253494; 140759621; 760626338; 993198026; 535336785; 693543603; 208647068; 761667518; 828391115; 415873655; 221944407; 251734977; 181231728; 532892116; 938589683; 461202965; 946211584; 780607636; 9555632; 328013338; 1058748176; 910524225; 415008693; 909633288; 537991463; 1013352895; 196740046; 851319673; 535098054; 898243409; 214687263; 235282036; 1008586301; 500684478; 474117475; 512496447; 666858508; 135540296; 113532520; 989106451; 891224653; 351025755; 196803540; 442603740; 397984592; 328134874; 10488512; 83148895; 930003787; 752105107; 861154883; 501050773; 1056397038; 453901922; 962715661; 909222498; 989169286; 493343902; 143491035; 356520224; 1068352839; 587534239; 280466007; 1020454583; 931392174; 32101875; 28343609; 458899934; 672139987; 309509031; 228718008; 123579023; 379977860; 493026112; 788060598; 77502834; 496204503; 278666347; 977888420; 994412829; 820413944; 888339727; 564531214; 679182461; 1029518780; 1053774775; 546489374; 479783426; 584964723; 318207585; 29473868; 127623284; 553734582; 816585904; 982582186; 826375471; 978073121; 806844566; 773080669; 836568434; 520456653; 575959061; 867527614; 700328356; 556276960; 99065760; 1019495791; 7036339; 507676540; 214049457; 912110710; 35720008; 1046137620; 673540214; 1058553963; 968654109; 840188236; 948151828; 662555035; 587607632; 1048404244; 154346470; 812823281; 683261996; 44420883; 398866490; 758642822; 748965585; 163029300; 271698416; 213045592; 137519880; 30993552; 145941510; 861542387; 411913296; 568324896; 273320245; 158284869; 252681241; 848317254; 1071789728; 211812257; 183081814; 729464911; 29405434; 843251481; 47554645; 254794066; 391258455; 956708488; 1041698229; 281839664; 261707665; 857411813; 332728397; 1050632195; 297699536; 352300427; 190716784; 1046648200; 740073344; 906396695; 60488121; 7922113; 501987715; 665817560; 1016161524; 131781124; 280904744; 629665221; 296331047; 285419898; 313561169; 1049236029; 893962262; 978570813; 572581606; 519470137; 851141562; 426324933; 253765176; 901560248; 546311115; 481994504; 96065497; 66702277; 801845585; 218136598; 139738906; 1018769684; 91059886; 349903399; 79999114; 83106473; 215977738; 907443564; 661379187; 364095354; 348707752; 737376567; 1060440414; 587521609; 6270401; 607084761; 273224477; 113305046; 687517995; 514764798; 691806626; 256122212; 81839302; 635013258; 1065023628; 643211535; 793976714; 1020935728; 645922473; 272026709; 530173194; 730303328; 362002401; 42602883; 539073895; 481526322; 36696435; 512808127; 724068637; 958354134; 974644247; 797153726; 441383944; 755038660; 969347661; 787040257; 776207977; 373171249; 830743687; 909873548; 738541368; 957187762; 785256781; 994993388; 120076127; 46998634; 556037928; 542622626; 662872778; 399714167; 201625746; 149431889; 346190055; 413129642; 334521; 266852880; 912855611; 363332891; 738334281; 1018962474; 967790097; 843665354; 220106131; 144682777; 885726165; 962119863; 228370437; 640887224; 550749111; 908954796; 872610672; 371087407; 712725644; 721873609; 996478296; 548476330; 1057395449; 288904274; 856321605; 1003873226; 85665379; 403689380; 551937789; 906485038; 84373352; 937961076; 876237904; 655824722; 617230900; 641201224; 853931727; 142781760; 350463705; 1011769507; 660088474; 852387600; 864245985; 227253222; 96436481; 796807839; 750075048; 214279589; 665373846; 443704594; 8343699; 750161409; 235750589; 599228445; 966185746; 31300890; 46349046; 645093444; 559050010; 796608096; 488943140; 398190855; 469542510; 18353312; 682951798; 760767925; 695150700; 980933598; 870329089; 681081959; 354281641; 200013532; 300739504; 641262166; 12807600; 741017120; 555644907; 268180089; 888630855; 494061340; 280425781; 296560127; 146685685; 962982271; 627610728; 419110836; 862715680; 439552604; 1002507695; 365318430; 581064756; 916489311; 473547842; 707814138; 876158658; 324958343; 697854530; 242430153; 914054183; 939454269; 423666409; 1013996555; 148089561; 214807138; 33893834; 287414489; 786840526; 120911547; 346432011; 785706248; 433104352; 1068665772; 652875171; 224503195; 50254073; 228131234; 1015808025; 984053082; 409287575; 848167988; 861183277; 285348743; 728432876; 499482970; 910426065; 573209646; 411739298; 444642065; 42909658; 614667357; 479316601; 283997356; 318801391; 498258542; 725540840; 1072748889; 285901905; 129856799; 755629370; 108613841; 485368594; 490341920; 735608526; 508739672; 333370271; 255236193; 390135045; 883544878; 974056711; 509230847; 400002937; 1004741679; 171628891; 202569508; 832644484; 313399930; 486929461; 544865033; 127834970; 259954154; 1059553428; 814007346; 645595454; 494683124; 987679770; 581197360; 889296410; 593684290; 840544260; 571098908; 306165654; 169748881; 391963210; 763351555; 510001152; 922415651; 889786288; 625903180; 952248334; 30407660; 189367137; 490075315; 720410931; 502020495; 561739389; 551358973; 543819984; 952187358; 752858694; 334399043; 616521972; 213864334; 659953355; 213608302; 18437408; 143730374; 505894248; 384318244; 949730425; 556005620; 787934214; 416700011; 333977057; 511609831; 443676140; 120662836; 856894577; 960703677; 465363184; 492378324; 719689506; 168727828; 192157663; 889598216; 864064053; 357094017; 659937726; 914521412; 789937539; 963552182; 360075944; 589925371; 650657965; 996689663; 270505199; 447014696; 906911806; 1011390925; 847811152; 783173979; 675360738; 117917089; 768998178; 307602734; 1054240662; 293382486; 252875220; 810741907; 468253675; 223427234; 943696292; 961968275; 333431058; 118090482; 1055134303; 194404140; 308967013; 933880037; 464564527; 291850410; 169391017; 882869301; 737060160; 126911085; 6125051; 672178802; 574147077; 993482167; 740169061; 474441987; 260149880; 60410291; 370702947; 109901977; 884886982; 496925722; 251048109; 284180390; 374110179; 344612401; 619939668; 238602602; 1064359370; 422947153; 148075781; 270017995; 602621876; 834842594; 328723378; 103897111; 436343884; 853459595; 383256071; 99418551; 539042512; 615685484; 1022101266; 741390101; 530192222; 209567894; 227823314; 62684441; 976622160; 174402073; 707390183; 346280695; 808925440; 893228454; 253620289; 191906831; 429134598; 761815175; 989523554; 379205060; 221339842; 756205768; 605166180; 417841693; 416275889; 261070236; 941901384; 493009341; 612363994; 165511806; 966747885; 110946941; 606980225; 958756834; 924515862; 92178880; 66841563; 602597575; 115454197; 423443075; 655053097; 891580154; 93713508; 161382196; 386902053; 675492675; 4553018; 532690598; 385978091; 829894191; 413854551; 376914944; 197855687; 830503714; 237505819; 832686449; 853332718; 992765319; 628804750; 835589685; 841586947; 647601723; 728629359; 140519587; 569027687; 825879303; 313110100; 66776332; 691945010; 800739566; 218851151; 325403612; 28485096; 863942222; 930971929; 378551253; 453945121; 164375907; 891954251; 1032819343; 535810830; 112411836; 220039712; 201651980; 781799102; 377159875; 820474199; 961217119; 389232621; 57546090; 402733946; 275790844; 177943574; 440318831; 565221749; 1040155222; 755706921; 153810358; 82363940; 914305263; 604794794; 725320291; 923958970; 436285206; 561612386; 7126533; 396714329; 360072653; 113171406; 564656080; 1041188905; 725725184; 23961974; 375810966; 413545262; 480935721; 568439661; 706605521; 36611922; 230696109; 736375341; 117464616; 832936922; 834142421; 376100079; 1035824474; 1007734156; 851985572; 488652888; 988487146; 842103885; 790635983; 1019381065; 987544912; 990976477; 326636753; 399338984; 1063985405; 237169316; 755281187; 304127290; 430007862; 278966724; 432582598; 467680818; 137375378; 653431665; 834304708; 230244356; 28964455; 739087200; 559496944; 266406285; 84045465; 1002117564; 809918309; 437956002; 236730425; 591605307; 76759656; 129867817; 982924640; 868260527; 579140216; 431818871; 113652032; 371517979; 552695731; 720059913; 125200729; 967164648; 938339615; 37021914; 1001884750; 695562304; 416764246; 790769322; 1052120462; 448097568; 828070935; 65382746; 536028268; 323785304; 683470137; 383309701; 877253369; 570002316; 6790250; 726038569; 677803048; 903036068; 773779489; 313683728; 471512452; 422880615; 691907; 708427831; 327134232; 965570695; 686693671; 1054421540; 194669314; 361357558; 1065147245; 435421738; 238795126; 540213538; 17051051; 343011862; 953451355; 505159751; 561420102; 319966496; 930786562; 146479594; 299331034; 760168059; 317821011; 878499134; 973478129; 650860965; 830063396; 966710997; 550460370; 855752113; 427549887; 265290442; 112620706; 36767428; 374850495; 779788400; 494259562; 841185881; 743764698; 747674; 832022074; 936886842; 120548788; 837541636; 635174165; 57655769; 552672502; 570826418; 180148435; 494842216; 536013719; 838392264; 427197594; 191483401; 380232238; 279554346; 1042830446; 1015337701; 1024604636; 861893888; 705081429; 344171550; 1038171355; 458573562; 510035271; 1013956847; 834090959; 187747187; 718639321; 286036637; 256994752; 118594143; 602903779; 161171939; 311074753; 709168187; 863961593; 161194533; 242467248; 482414042; 630891830; 908615423; 596796111; 972276721; 1047128018; 363363272; 375948657; 1009152239; 595743598; 787338257; 790690056; 318913892; 1034529343; 212730556; 636768533; 398608779; 405634417; 968205734; 355277814; 984284665; 763886721; 166888405; 809200625; 516927454; 353390921; 180721270; 340498309; 109721269; 244945693; 716006865; 866586982; 344459283; 945047639; 654063631; 147371823; 957146445; 431318737; 391988638; 153556252; 617594024; 148813090; 107256398; 1071995417; 442802295; 611495254; 463302981; 52943170; 976720150; 80139266; 390422211; 1036374840; 504576525; 1062172694; 857203042; 445919798; 667564968; 732125669; 279443117; 493340681; 747575992; 1031520237; 251770250; 571064455; 605190797; 552691274; 659647106; 34251841; 634776538; 719462802; 45037721; 497371202; 58428984; 453953704; 693533248; 722638760; 932085123; 920119383; 663998955; 948761658; 375077790; 579486062; 493816435; 934878095; 797611639; 231390247; 473981652; 900144844; 763623648; 686171186; 35279576; 561146452; 508935793; 1014827316; 152267979; 917900038; 72542267; 801608457; 548037089; 813177494; 182191596; 311564891; 740289342; 452639448; 449511523; 310594320; 147904239; 284105152; 197452358; 436163895; 5861195; 39136217; 787853536; 526466313; 993780547; 100816064; 160123496; 1024110156; 274427622; 583448548; 493949986; 317840188; 141563332; 596599144; 335720152; 582333711; 655673494; 870932444; 853541963; 369169715; 229077452; 1020736543; 377177759; 563567303; 41887494; 150961450; 1069056544; 150246246; 392499771; 930974985; 1023619836; 815589391; 911188917; 145777395; 30518272; 711032531; 194892684; 516607891; 418267738; 415218691; 1052745810; 1021833507; 961937850; 505704587; 880005253; 380785253; 700878967; 791024902; 40845241; 363435109; 196714513; 1053656169; 856891806; 969986048; 765033148; 810740077; 298918121; 870782573; 810041628; 934664563; 125992237; 817237489; 1031832095; 292812487; 617856900; 251614149; 686965590; 573932482; 591812047; 664287602; 505411430; 71854191; 309541154; 915547031; 158696854; 452117787; 263731953; 753998009; 558183626; 259299421; 134911818; 504336056; 144185914; 853837926; 476331679; 1040643653; 72703126; 578114180; 56802108; 313302921; 114032172; 614709305; 42509000; 72214984; 574496143; 158827095; 356241158; 881074800; 984449520; 473104902; 491822800; 556578312; 451883836; 316918365; 19679541; 431320945; 26487862; 299128915; 488105485; 206988525; 435571553; 345281914; 347704153; 690594106; 865672781; 638300764; 627947187; 221153665; 347934452; 516947778; 19764178; 742105835; 508353622; 422243482; 1016390430; 94852554; 653567824; 588442848; 252176260; 732480598; 413212621; 675648972; 877967009; 1046294239; 463903240; 307759998; 1001944699; 662279206; 369479113; 731737077; 1039632164; 472310690; 204172085; 474014252; 757212647; 531222917; 643598721; 985425978; 835767530; 831613698; 852450897; 1052572347; 29177276; 333372541; 241944902; 243243390; 753996870; 417518753; 143561837; 1011574315; 515636596; 607882841; 643596466; 762134855; 837542669; 702290639; 426904592; 475554399; 702497102; 119752776; 285918032; 676359856; 211281789; 144317317; 466799496; 802563277; 316198051; 402252423; 307727082; 774535206; 46167086; 992807953; 1001100888; 28181670; 430935369; 860494710; 408552033; 133481094; 520446421; 38212941; 575723907; 248465375; 826150878; 505568357; 780780154; 485110410; 104074407; 514579726; 14183951; 443561798; 313651091; 958769160; 32392685; 110291223; 180108722; 205618263; 148202671; 798689288; 398326295; 411975584; 630020800; 207635003; 798251872; 1053099766; 100438897; 869876646; 541504355; 1017875458; 592440064; 194695462; 672849197; 1000222622; 924702856; 301586890; 664995055; 277964872; 538061704; 330228135; 1052554699; 722825111; 905281906; 141400273; 697712617; 1044757701; 974766676; 74862836; 655522352; 840484654; 746649145; 833356820; 989719986; 531772332; 218821060; 378037017; 315131344; 336700192; 234642015; 829048002; 188481328; 96249870; 78422970; 108141713; 977012166; 654591108; 193223113; 767137022; 642669778; 588214208; 43284821; 291160711; 500237252; 385549069; 883861578; 184553893; 119163488; 228300444; 634470684; 985969547; 161576649; 945567045; 612396570; 155711511; 232232367; 872184576; 795595488; 58528084; 727855198; 1013772266; 837854111; 339153604; 1017562027; 831013244; 821390030; 234133498; 1028771926; 22232492; 910031396; 414759189; 44485814; 210331741; 85010863; 488890313; 891837712; 456493982; 1011749625; 103075970; 523789463; 788961907; 184249930; 42332175; 546823475; 232646138; 907462578; 508972083; 163049364; 581437641; 308440486; 146083369; 609664198; 911343495; 891796294; 676846107; 563386134; 401801040; 67121770; 923176721; 922112939; 125421051; 35997731; 866217367; 710421383; 127259811; 520883527; 902760406; 700582518; 26054488; 212285362; 356866010; 930766348; 1008325273; 405003719; 918729022; 1040836300; 270099895; 197837607; 951515360; 316238598; 767768405; 991816931; 926740187; 486071164; 991255000; 354198137; 968730493; 254303493; 705838818; 257177277; 1018659992; 443999620; 110586053; 56791221; 342969924; 1004600650; 1003377714; 869812536; 58839209; 715220223; 492135046; 888385926; 1042376284; 243829969; 314029285; 994807186; 536029455; 258156700; 546623363; 214785579; 1027167626; 664623154; 138649618; 631799371; 380741191; 317888684; 21127547; 434866310; 662964845; 1070887623; 346746528; 875643210; 45714182; 253104286; 631325487; 84655248; 937272133; 732162501; 397163074; 468447255; 663237889; 307528162; 105971017; 694242010; 1066148655; 907294719; 449753220; 652643582; 454881915; 910353655; 340492980; 307913397; 537891816; 558510592; 770525160; 835497279; 1001753606; 518736973; 759664000; 273848005; 796447562; 769857023; 904076603; 5511039; 890664047; 395442410; 505314946; 173299311; 986540393; 966572439; 67833244; 389669820; 1065908877; 86586992; 954033922; 238311965; 639506217; 454042177; 424915343; 868304076; 14748518; 414496671; 870678012; 30199620; 290967328; 828250669; 352305372; 39176320; 581303722; 397023575; 926797771; 194763370; 818239393; 958292257; 905659430; 562714659; 273036716; 359775123; 846361482; 1014171633; 814007326; 899478639; 934832684; 1008479784; 810882505; 219325093; 405987300; 997273149; 637730996; 283950645; 662961478; 894853884; 69624945; 910357241; 1059588571; 1063820224; 71118592; 311283737; 695899873; 162473837; 335770829; 53484429; 197702375; 809122937; 479862356; 862444832; 589592617; 437671472; 386159991; 449224177; 390112915; 335120360; 303850879; 145135969; 238545396; 787769930; 788486867; 142775013; 284824215; 87130957; 986090402; 352114879; 635464344; 292838542; 135637521; 140859769; 608193523; 705543601; 1050856339; 743753698; 280037571; 828600841; 879714632; 922628308; 238531838; 493654699; 163455528; 724174811; 967760074; 89324275; 175114417; 709449939; 816092515; 164696945; 271779582; 1067353587; 467897194; 505127674; 436438394; 401340405; 128331018; 905301404; 410328281; 408586533; 775312843; 920523800; 698668190; 101328696; 1040643198; 869180347; 487276282; 980190805; 300529491; 248878557; 352702360; 547115426; 315732268; 781702772; 472911864; 896369980; 734441374; 943624272; 337219023; 222926468; 696399921; 18405170; 752559013; 530777889; 728313397; 59608679; 573555416; 238647461; 249912459; 983919478; 54813215; 872446914; 202591932; 1057389316; 876704908; 875404029; 251628766; 703953349; 427586943; 488009645; 719564545; 338332461; 602525173; 631936295; 434051925; 1015109556; 309185085; 959721173; 816766299; 433383450; 919862231; 979542042; 938147559; 771614265; 1004755433; 411995862; 1070564204; 1007822708; 920071377; 220319063; 831581382; 762342716; 103798583; 972089796; 1065870968; 541513505; 562899079; 882162761; 482757399; 887228540; 485359491; 614208960; 192685632; 12437200; 151066111; 815310191; 201936453; 52243368; 1011711601; 5931681; 31637884; 405931913; 875046080; 1058582307; 605331994; 485169969; 187699048; 566687902; 1005535774; 482333258; 283169798; 394739180; 285596742; 198413924; 547169735; 710789821; 697207775; 772193502; 753335412; 572392132; 165348259; 70615120; 513795675; 448710622; 350174722; 1038886302; 332095472; 734162614; 148545826; 157168990; 284550925; 661688468; 398039649; 797533079; 797403809; 902718683; 875168399; 653154301; 333552929; 140918512; 191053317; 662210337; 572749647; 211803681; 906751319; 685642352; 241740880; 823909543; 391595343; 72755285; 496201511; 53775947; 473326334; 478893740; 979388472; 495509079; 279437700; 13570991; 164651322; 22628912; 426126109; 615526754; 227084617; 630874610; 177704847; 255139735; 551029056; 2070340; 747531010; 1043311352; 201772116; 906199579; 100775679; 529944671; 93654990; 227672859; 133091935; 721198523; 25826850; 263224614; 833507060; 891985843; 730083228; 369111752; 570488310; 1071026688; 1002655281; 314154991; 360518024; 197125754; 765001294; 5066627; 619780297; 27206727; 254418521; 714010449; 371235097; 579895222; 636785370; 760607698; 817786251; 700194871; 33064491; 9034527; 907505358; 527657837; 855230685; 928670564; 480194430; 147036069; 894718400; 832184205; 283918095; 884790911; 38422578; 259134075; 827341648; 2678042; 372978187; 983670824; 129997425; 112153340; 340843021; 66414294; 798003709; 380165522; 331036984; 368014578; 158269107; 674349752; 37016992; 413155953; 611229019; 973036432; 748915769; 38176891; 912229205; 857212333; 750993950; 463042053; 184361282; 354379256; 660992849; 73436491; 260293281; 1034842971; 953773706; 11504782; 255695744; 403359573; 209967123; 754191232; 148030426; 546478598; 420146481; 764464181; 526752821; 855389325; 822444011; 369937989; 474129128; 451101391; 542821102; 432045303; 182001496; 330982737; 707022246; 125344579; 778419273; 423137793; 32692686; 220752882; 546699025; 549575629; 378256547; 512051291; 154921749; 547833487; 305444026; 530533074; 652549867; 793013930; 985842266; 330316958; 239319608; 487046221; 450410020; 377807659; 840531230; 341567906; 1028771966; 211109280; 257322536; 194914074; 845003423; 628885408; 1057601823; 418660878; 52515698; 729052032; 441309691; 888510351; 861200879; 850726449; 961969069; 535827368; 1051241999; 895557894; 316774881; 558987586; 1016821979; 709838066; 185144947; 659120384; 929306480; 589038774; 813087963; 414485260; 1069745496; 659358598; 73181648; 221465903; 1047322510; 254137676; 398550114; 920582498; 514866669; 820703560; 976622309; 1026993902; 644940946; 1015520347; 533945111; 1001251166; 198604965; 230376329; 363143171; 385826567; 557163733; 374850568; 81617364; 911683215; 476558471; 283585739; 55276638; 551151507; 190036996; 705536843; 220032146; 546607335; 935237824; 253327756; 565758216; 352856016; 419282560; 702810460; 145072051; 486192389; 776187010; 337216933; 457854590; 871752598; 843161423; 710270757; 760326651; 275238153; 982860277; 287617194; 1066310078; 551643901; 149546434; 982651065; 150257255; 153994941; 152147579; 625639182; 47701002; 650661957; 1043729121; 815755779; 1026019837; 758779767; 799214987; 361533518; 26003929; 318453545; 197824767; 544754155; 212991295; 805914076; 198832024; 789370325; 31502616; 436265388; 62238982; 437792789; 124558100; 1063173912; 26707209; 714642632; 49119016; 416438346; 572776629; 599040592; 1042371623; 13658076; 623345831; 373448425; 981977905; 806926097; 712051627; 59924935; 769206923; 303118232; 346283649; 118292910; 524635694; 331587593; 49089692; 885405915; 238533577; 599243578; 511184919; 890708408; 627294774; 120437860; 210002899; 1015346396; 1035822377; 781622358; 218876111; 916238144; 751933336; 282564000; 72402761; 899391883; 940529489; 199958909; 35173144; 395322798; 276478352; 1223389; 41306303; 1008097684; 63703188; 859158150; 609906436; 715987925; 359654981; 219699678; 399833033; 558494470; 583322121; 851125596; 371145692; 154695210; 1011379086; 520001232; 920857780; 928739334; 543692493; 1044018153; 134947637; 948298290; 878896009; 267788464; 906055591; 762603512; 253221262; 986133054; 835622468; 366438043; 776694340; 24062322; 406992796; 309234930; 699528355; 74339927; 103568681; 335200563; 482681620; 942042148; 735174080; 215229300; 590428073; 754940664; 466520929; 173577994; 219405644; 462892796; 840294251; 894827640; 421608954; 565462344; 399868105; 243031533; 1062369551; 37399906; 769095191; 582262667; 993734093; 222486796; 750769530; 529350538; 505772854; 832930952; 991893491; 1061008825; 375565658; 197434438; 125150565; 303159296; 829409071; 1071183717; 854363193; 589641293; 96224487; 933757120; 800106783; 110856163; 100179961; 762932363; 878447968; 797893529; 156731276; 55527757; 45273696; 1036569663; 814058163; 852492407; 1009346890; 869847664; 212637642; 1033186231; 358439830; 310097742; 780125629; 163603047; 429202832; 849476; 171513808; 350862339; 435671249; 937523732; 612670733; 654215872; 772543902; 450668385; 459540300; 912897318; 790297701; 417903997; 949228037; 65792684; 553026618; 986470182; 658698128; 760718263; 22082182; 479959339; 37559422; 557866975; 659197929; 685782230; 175012352; 755627667; 921619710; 413413926; 238819755; 90557150; 604542378; 726498984; 291789702; 253783225; 345843938; 150639423; 56666481; 516588437; 448706440; 615760164; 496126145; 782624691; 72113896; 68310232; 994950477; 940182523; 873154189; 342962724; 699351077; 178714612; 784894950; 285507882; 1018170540; 740916953; 307808834; 945234050; 601256792; 209861172; 261820967; 382943628; 471530877; 1071605980; 823050706; 72328250; 209815492; 397584975; 439694545; 415116240; 786578971; 494243065; 120425282; 976711999; 123615802; 153349457; 452684480; 370925348; 796561894; 964324609; 730518111; 629820694; 125094194; 241457930; 437990165; 847450694; 735506110; 606419871; 555338441; 12261842; 678767587; 859009719; 77836264; 87692133; 195661858; 660789915; 1007176664; 64373220; 665909094; 1006744190; 347156128; 694182608; 986933207; 359644288; 261036659; 465793793; 414612792; 100795438; 800678261; 25089610; 542189547; 680308616; 149631986; 864499798; 42046985; 258813489; 52201486; 1058042900; 240774435; 876788333; 35130845; 1057581546; 408334016; 10788716; 464863049; 149865170; 10637569; 789259767; 594185915; 494197015; 656465196; 488614183; 900434515; 352369788; 134269995; 445043359; 910222273; 943497132; 233624495; 679997216; 469477936; 1050340144; 393867143; 1002531241; 300755333; 407399748; 222144222; 391100324; 910965073; 518638729; 90561925; 1042415816; 460603211; 1071258029; 786996267; 803916941; 516342050; 11590402; 758745328; 729597660; 591618220; 317783466; 666719782; 108410772; 585290352; 890752668; 880441787; 957040682; 922826181; 97358075; 589953345; 25315590; 60284322; 433540309; 294676546; 347345207; 1023492137; 53234569; 236564399; 117504736; 535940824; 1067654646; 421557321; 454525551; 712616672; 536040254; 117293886; 159170152; 976997757; 86647249; 315030182; 301917913; 579749451; 467265721; 747438766; 940874715; 64627620; 992018881; 447361379; 379691742; 981226266; 1072362503; 254569641; 492987975; 307211762; 581011347; 963341009; 303516927; 532326694; 243936395; 584531162; 912814509; 193996852; 147969090; 582285246; 778287710; 139125647; 503077500; 644261284; 4974267; 316313150; 1034959909; 1040836961; 621238535; 336168340; 331658259; 311741352; 674045794; 577619266; 661840999; 505759786; 564644289; 523161700; 566343684; 189319056; 108788225; 609293885; 405403816; 260440280; 993789616; 1057556740; 547640597; 711869800; 833495257; 384485955; 461698750; 275329698; 764147752; 203702886; 137327222; 217844542; 994603339; 56230102; 29791438; 731943737; 30599845; 1034452088; 465590320; 498623735; 275719927; 711729662; 73697704; 989088162; 140421944; 472595510; 351142141; 115239834; 91267623; 170146613; 830909279; 213158605; 399056339; 539252042; 976824952; 654808142; 120328750; 117362001; 132494840; 939298836; 764503828; 285161312; 134410621; 759735328; 859026107; 140785530; 305185724; 747104614; 295425177; 828401935; 509631594; 776649527; 524331988; 804787196; 72180621; 901346804; 910977573; 1028501924; 974595195; 605186522; 806946139; 385097051; 937283338; 348207866; 364906940; 954139634; 827081231; 239691290; 782699209; 284991473; 262113861; 905085489; 567147930; 618864917; 744050163; 570262649; 993503227; 958823894; 560249390; 531867942; 415253112; 160549350; 925335025; 1069882713; 161206448; 444005726; 384122668; 810073711; 753975241; 413776228; 594554146; 833566527; 767030808; 489064200; 663395720; 444766766; 891967683; 472529847; 73378035; 575931535; 806905811; 720944357; 381731882; 694742987; 675802515; 400510130; 314320576; 490258390; 1051341949; 297553895; 706898014; 746605801; 821847725; 101731807; 405326048; 671365257; 606612793; 886371815; 320492679; 791109290; 191945672; 87168442; 917102072; 380463416; 533980024; 56638564; 154207087; 1010409848; 187602132; 44275032; 1040026058; 698613259; 800251144; 126525903; 739708075; 352201109; 1026359509; 564214781; 875463077; 110474102; 435694109; 579182063; 642562294; 18074431; 265704257; 219502960; 402774781; 495070774; 205207920; 906131922; 463680945; 951538472; 592844488; 467067336; 1009045257; 730270015; 471703028; 717998337; 314074892; 493961855; 852329576; 424013761; 993053708; 806379957; 133703211; 13943245; 779411609; 113601979; 303702614; 399148864; 822405183; 1058105377; 931933920; 1060816433; 88819733; 742289170; 983378090; 428171319; 563243688; 852500955; 864301277; 442018463; 330067249; 123177845; 161962672; 792948427; 883996822; 220512355; 886253814; 516070357; 1069315928; 800221151; 780802381; 524835089; 632652794; 4536279; 530339806; 731402980; 1022422474; 776193598; 592575528; 985589973; 1067997763; 908406459; 603727159; 991543602; 75864339; 1044268895; 550922903; 520753059; 342607513; 58026977; 445293910; 58955024; 679811207; 120854883; 1043135685; 585145338; 22014792; 873564061; 522372355; 948131790; 777555550; 62334392; 69203851; 1035130397; 700368046; 560708556; 1049579376; 825140922; 558451556; 1052123233; 882424167; 172543858; 94532851; 14211260; 296606618; 719957611; 410905327; 784188306; 604286569; 601461384; 485146977; 778589864; 824337388; 1000230068; 556208239; 670667610; 389221680; 291146978; 620036982; 996986459; 543435013; 418927236; 502895524; 507230624; 947287987; 673130422; 379618670; 614687004; 782334903; 441123586; 920575407; 395125533; 623294637; 791069636; 142828553; 934695853; 785798151; 626979703; 191144450; 906166484; 958438768; 493658572; 565855880; 349667101; 113745331; 91106279; 316963673; 911702159; 510792114; 237381784; 59298534; 616829639; 810306542; 518732494; 848113824; 232294308; 781820574; 169698342; 83893607; 31895930; 67251627; 367963951; 711617542; 107445862; 560665750; 802947765; 592645045; 1037161133; 192135058; 763544502; 788885999; 580683539; 318662000; 309614278; 266518733; 510194341; 886854624; 631863607; 115977148; 91180928; 391290226; 1036239236; 571251992; 329354165; 619774525; 909389912; 114956114; 833813516; 583764952; 757467818; 660316585; 787688426; 380287750; 756323700; 383076411; 756513322; 50749030; 751405003; 127827240; 742693702; 565284424; 748148838; 944421303; 33680633; 1017446137; 387102260; 621054109; 644124951; 257523976; 253504894; 506243803; 269811912; 160808321; 552318204; 60335171; 56615934; 693464892; 922539980; 554456661; 992095432; 528411446; 995972211; 711552346; 1056329725; 555892003; 362017207; 361390181; 112470316; 927546827; 807337710; 719974044; 1068920540; 390318441; 543550033; 237653811; 611763670; 97697260; 335761096; 619120784; 763095442; 203836594; 642818123; 755242996; 497699123; 901892023; 44398937; 1016626768; 7833543; 192892991; 201607698; 830654512; 460334375; 205221599; 605991199; 585047497; 376497701; 826944353; 671135124; 428789152; 493994937; 454326162; 468361835; 225246993; 349311292; 59057256; 627068661; 273253329; 482234822; 1041166898; 345129980; 640184430; 455119604; 1033470921; 400769039; 717089189; 8376226; 204823351; 753378238; 207387405; 506230710; 437832539; 785680781; 497930890; 483471133; 170724850; 315019767; 859721794; 650179448; 342908940; 185046201; 249842547; 88275411; 263628419; 571933730; 945568435; 134059755; 817976228; 218011458; 310075223; 271424049; 54669720; 402432623; 127912111; 268949390; 131473616; 763421038; 860193148; 1001730333; 626894460; 528332726; 611374125; 680884774; 932247604; 873828711; 241298722; 1031002542; 875777469; 395219310; 356434994; 1056002006; 430416328; 494561486; 695907620; 792805246; 311876451; 60822160; 125139950; 237123814; 141860564; 227702645; 861982049; 1009314484; 544025600; 234806741; 280629259; 972812212; 227017969; 225623913; 948783589; 673472252; 965025771; 327420264; 378924910; 1040644369; 549595007; 156517495; 498959591; 668450896; 848994976; 46907847; 317847646; 610944128; 478088407; 261609360; 727153170; 52759053; 723476359; 267704950; 678703806; 859808616; 402867758; 625660899; 171173848; 1071132262; 693261682; 688642616; 170557052; 590234388; 1039451504; 630423361; 456602765; 989429543; 924940901; 950687408; 404935341; 131931454; 940888611; 748472693; 540633325; 974878519; 415131749; 433213688; 996823897; 304139543; 386318403; 598920309; 140213339; 837123518; 19358043; 360345977; 803603389; 217154579; 618811588; 747849301; 421366656; 823295238; 823081978; 965045262; 248384560; 187507068; 46651203; 332785455; 975343189; 83915675; 839710009; 695774371; 415345832; 517255532; 150540325; 370924611; 413800326; 19874824; 206710088; 772311333; 867369118; 740332429; 147117273; 1035325155; 753252255; 876605400; 658967055; 381664275; 466968822; 350977781; 854904824; 196300392; 549175248; 470576906; 325270971; 672131968; 590047136; 259997118; 307971343; 832961205; 625808339; 905860264; 151442926; 572648982; 53503115; 434070885; 404889074; 485457330; 596468617; 78214678; 876430134; 794479038; 481151494; 473108021; 236263948; 199616013; 447032976; 223777927; 572005008; 653217132; 1010288988; 869573484; 704970461; 818405085; 433566039; 594440527; 885955736; 222256955; 869582374; 235376066; 607420802; 263258084; 175588177; 520316560; 938175194; 1028586083; 998681840; 271374321; 474592828; 503716708; 489363200; 780428625; 5672396; 132070386; 457924924; 960325510; 135463414; 245615223; 718118547; 876873115; 1016787369; 613568447; 113029916; 896374144; 479028531; 708201314; 691849648; 677678889; 837395662; 791146910; 474836478; 288279130; 637229913; 886595437; 153941152; 174998677; 86985216; 448582769; 809665338; 1066930966; 313476803; 674176097; 996677851; 357880082; 486631701; 85190079; 826545627; 587109831; 1040531833; 328262526; 357218169; 75573932; 566903491; 443862183; 287084426; 536454478; 927848444; 140118613; 209652966; 435844795; 752452822; 801465433; 995848952; 939047927; 565154435; 55339573; 592849354; 298949382; 776525767; 813980425; 249508212; 1052269954; 928799861; 103505380; 592335482; 214653354; 156230937; 200261570; 477573428; 611220086; 374397462; 514232938; 725276914; 606343406; 1002365090; 805256345; 793793110; 579413579; 103430185; 583315070; 740298447; 81303254; 626235189; 1057255156; 1062949094; 162288551; 884700988; 61178157; 937466995; 326030287; 691808220; 891268075; 341115581; 141525022; 1034438071; 332767653; 394272414; 120943638; 126490342; 889719011; 217089928; 183350042; 626537082; 772042302; 802518664; 63283966; 915182449; 345459005; 349902245; 362239084; 964878127; 30386365; 648972270; 416333378; 304260663; 73659296; 626760357; 833054867; 880271726; 394571585; 878447577; 308187747; 963202397; 828588259; 750858582; 598432670; 671631051; 218884843; 740083692; 84158719; 946528852; 730383437; 1022995725; 180880128; 57512887; 1003774462; 1071974544; 504147964; 903382667; 812874220; 848416764; 762847579; 359516541; 1002308756; 354631869; 940944501; 451315743; 530091434; 1064636773; 55712741; 718811481; 1014701022; 945051323; 254107758; 521152603; 898952072; 458100506; 724701605; 202415647; 406767313; 906158378; 248912892; 554353380; 266917741; 744151490; 144535458; 463299876; 109453581; 324373069; 32067820; 692173320; 988258683; 165734163; 993026032; 565170184; 95551209; 272684489; 581998718; 66467619; 824807786; 495453021; 154752132; 882103808; 994954369; 220551451; 855137256; 386860648; 520472324; 112313152; 492672112; 359855382; 698772831; 364798365; 1006015968; 15326054; 384621567; 966771491; 395746429; 72360645; 764040586; 530007969; 782662096; 604375044; 469809263; 378903539; 842432839; 34185590; 586725232; 957977829; 708360964; 69377608; 446731421; 544070111; 1013677843; 812977824; 68051506; 15814350; 36955104; 854463344; 250087269; 978601501; 537492433; 714089744; 895872324; 204980536; 719168294; 90175682; 253892688; 726357765; 33438655; 828667523; 859071997; 170932421; 237116764; 948591868; 234461232; 1013943678; 663745847; 298602829; 405994852; 1062512283; 896829213; 705759759; 414398017; 5963037; 769030202; 251549732; 369228480; 627997658; 337566986; 656998959; 58237207; 110206311; 52630664; 103145353; 145914668; 335821359; 996404278; 515171184; 364730756; 877572919; 387544664; 887957229; 339626002; 631080; 210036255; 343014281; 734670102; 449406451; 99947123; 462081881; 638893081; 23531489; 92466314; 967688654; 860853601; 652397406; 482431230; 399481837; 183819233; 53162006; 714502528; 357112385; 240793456; 678053840; 627578341; 94485541; 758506690; 720360790; 6019194; 329400569; 183122182; 765185972; 120138004; 867944952; 64283285; 840933976; 100900302; 721453940; 837461578; 798048410; 720189143; 889908079; 899614570; 920301683; 121234638; 259764991; 52396314; 633902820; 719028480; 281443082; 477599454; 338647344; 568455526; 883831180; 567706630; 699052832; 230157137; 740262422; 845105935; 939465664; 444142797; 33011348; 700089139; 445484859; 887289278; 1029184455; 618420573; 1029541845; 191552914; 808088991; 423051592; 278433344; 670003107; 1005241591; 378968187; 567415604; 241107238; 86897075; 116211792; 902921991; 418996294; 958635691; 888988264; 543093100; 920566244; 338744100; 917809288; 685446946; 969151678; 382107140; 557766864; 68733914; 274454950; 975182622; 437709043; 654313449; 627510710; 388301108; 520034834; 411906912; 272679519; 465143792; 618400395; 413264313; 356211113; 261366293; 1069810049; 474837709; 756037608; 494713880; 214641497; 235932272; 274459867; 851884242; 152972361; 878891612; 1000682361; 755632721; 1005430611; 286902080; 506796276; 506774265; 357449362; 951560849; 348769855; 236159692; 709419954; 881269476; 1053192666; 518130139; 860211617; 418637034; 534622779; 242422205; 875192187; 647492679; 929715395; 755164346; 309662374; 591920408; 1031092197; 254667114; 555875212; 741814448; 242711586; 666020229; 136027568; 553486993; 7470782; 409135519; 1039042427; 946875008; 149530851; 1031218235; 90580128; 634645498; 309302959; 172098637; 700018224; 824732388; 8396710; 43610353; 430725329; 1037034495; 979432581; 559662653; 214285258; 580660198; 727509839; 960018934; 462682382; 838274248; 68917988; 630006517; 764462078; 147600054; 328704697; 903721475; 495764828; 630219124; 1072475918; 899474981; 274894311; 726812031; 2693847; 940215186; 519779449; 891704519; 864177557; 753652475; 896902370; 133465810; 545604738; 742332570; 1009096244; 25805174; 542389492; 637571177; 119552494; 1005371215; 308034197; 953233538; 981917013; 427956933; 746345127; 873287297; 71018823; 841952427; 582703579; 673592050; 335956432; 958402427; 299155309; 314082475; 417947519; 301330664; 1010283210; 243298941; 233598171; 123153167; 43606689; 984644254; 513558060; 817571151; 407183834; 560985968; 876989196; 653055648; 808193728; 303441126; 830376056; 750330478; 846323192; 157744395; 149443269; 804657523; 500926440; 393803766; 1054560626; 746856136; 539101528; 177000528; 294551203; 1035650893; 551964741; 501014546; 311297216; 867238636; 340937665; 125173631; 482982234; 171844854; 312871023; 770928851; 590784696; 552558080; 810194609; 874663818; 992755843; 701627572; 648191156; 738003375; 222651710; 330123356; 220121272; 378727718; 199676068; 283050131; 15797165; 508158432; 320608402; 310586193; 1010901440; 975752324; 285963627; 280746377; 177507331; 243676309; 45776072; 982678882; 769020413; 437170697; 723403536; 188131519; 980258412; 631120541; 1062892791; 440231375; 261003089; 162069378; 321735582; 278652484; 978696593; 508741413; 1043802016; 763638573; 812353771; 579815459; 369719786; 622107142; 814205027; 236753329; 587265393; 919774709; 600818323; 549735139; 267926799; 432902343; 83834934; 504279561; 661961670; 400338788; 673971733; 387702092; 223696863; 107358250; 319153456; 638962282; 882796530; 281265671; 498802272; 88368725; 754336033; 694143132; 211865376; 414029372; 893678559; 779382268; 578228551; 630742020; 235339957; 340088336; 361002296; 185209970; 513134859; 274248040; 83355473; 552140937; 5180615; 918245306; 122365536; 686154808; 752599251; 613955332; 816851045; 733490018; 907117366; 194592845; 912322377; 112591774; 156595923; 607497235; 648414769; 1060411399; 42031895; 671167181; 992104004; 365582525; 350030756; 102349002; 148699330; 551829740; 607008763; 615030045; 464632303; 822595773; 903553630; 718270756; 739594117; 371835974; 775450576; 272134113; 10091268; 52126544; 786176869; 38188572; 241656394; 429667248; 30465230; 759848438; 20227096; 863810526; 849536354; 561408591; 724930245; 853330341; 84053245; 28016281; 757681523; 956421500; 1058582300; 1014496187; 917025658; 500251010; 253019012; 157935252; 718197192; 313470800; 384175987; 116986965; 792107937; 940104248; 82668239; 32481117; 605988389; 131453458; 941969185; 691468746; 552938557; 150736972; 1064624841; 198353280; 313640630; 160487282; 429174649; 862761563; 963622502; 950173739; 208256298; 237445767; 528227403; 182645368; 129540668; 429503170; 425143284; 215361246; 81424977; 754556246; 560370375; 924963622; 751490342; 1056542068; 489432940; 359745096; 506298936; 787652043; 37680881; 758708228; 96539479; 579110793; 36491479; 161648186; 190972709; 40910852; 201205317; 638432079; 546952844; 996670241; 535650203; 681379992; 55940457; 545778317; 303391116; 38303350; 153863996; 247082312; 946792409; 963680232; 620487649; 666063321; 1059458288; 561443130; 302002469; 926286157; 445701144; 793666003; 406076508; 777351127; 622558349; 913873386; 163383189; 994225770; 680619060; 233306807; 950188172; 641127517; 495987659; 397124745; 1016619706; 626035878; 690929540; 649664056; 833825782; 749114353; 624638950; 269316960; 526921090; 462019615; 306857218; 801981912; 264698871; 898297040; 428846971; 543631267; 983679911; 892207684; 239729488; 732604626; 85091568; 858752293; 85067850; 472400446; 604043346; 558315511; 40567513; 67059541; 982765376; 1067076948; 902288218; 19976945; 30322131; 857557184; 473343454; 781898418; 890978452; 1025734508; 187090139; 312502776; 666571545; 378089002; 245355941; 388284089; 440649434; 467144991; 192830641; 664504126; 430450891; 671717398; 1029635313; 908797272; 834148055; 981451941; 755257081; 902424683; 234832571; 654657356; 133485558; 734679045; 844075008; 37979483; 36378069; 549848653; 1038658320; 466325627; 821762480; 1039512031; 448074276; 578360254; 621451848; 1016426143; 175289279; 690099298; 156698102; 311424043; 108865720; 766863814; 1003502039; 223149215; 363597756; 479273715; 545454530; 330513015; 239194353; 803366181; 676054863; 563128429; 1013264669; 84371154; 917125801; 4093259; 664777118; 34421232; 216052394; 527860170; 26409896; 62648860; 135710125; 966361837; 382827860; 410596573; 785711813; 290238090; 189995757; 38855159; 429574931; 307525309; 915802946; 214715241; 441604158; 898773787; 510900785; 683599274; 796682226; 792444941; 186291456; 634037251; 652536601; 229184793; 693206273; 452246074; 198172451; 629290137; 921337895; 494513104; 534867857; 31689619; 361263055; 41197239; 401661997; 229383959; 762773696; 630199383; 702311714; 1046240557; 608016020; 198145354; 313093063; 757471337; 829306874; 105238881; 698126494; 999395857; 953006314; 182836696; 563343357; 902736737; 614417993; 373494974; 736347707; 793913956; 331197144; 629514414; 861118968; 385714296; 322623386; 1006426903; 670292760; 239323984; 57629244; 842946961; 571742297; 593894017; 1018124457; 1020622767; 662244489; 129985994; 36805790; 86458488; 204601071; 56065441; 1009683765; 966659417; 315767703; 766195429; 845923519; 106117072; 668035245; 365055266; 441065690; 492904652; 942496253; 383200998; 157545817; 108389093; 666895612; 171598803; 815735352; 684670995; 544552528; 361341008; 518866552; 76381171; 684842394; 484459924; 564730078; 1019307244; 886403906; 785686967; 317683974; 599748514; 362335250; 219606460; 142166549; 151086394; 574060715; 324984640; 75921375; 534810194; 234391380; 212587888; 678218139; 573525656; 1044463863; 918842443; 738873110; 53959534; 367673016; 867792713; 79838443; 78084733; 945405761; 13948422; 932918509; 418706368; 969828536; 527037367; 982499369; 965631728; 702733162; 63930742; 892700573; 954639316; 41046052; 1058681719; 1065268228; 705724576; 42197335; 234506703; 494259735; 969129632; 497840161; 650698890; 239849361; 436456156; 1022026566; 177857586; 778429761; 1070389256; 356513959; 1027546016; 205804329; 199831138; 535345770; 234780014; 301775659; 139882696; 678224389; 201333386; 454809804; 774362987; 542113861; 406719203; 1066425117; 438516570; 1046378503; 246620816; 834957560; 975457124; 658296616; 320057333; 760365863; 77031048; 186955453; 943099545; 968690783; 924493642; 773277327; 398549474; 145403228; 560438074; 67996026; 1071987866; 959076839; 968305751; 138594545; 614102088; 648898738; 501280659; 651578238; 1007736367; 595535276; 521263438; 131780271; 854871005; 206759571; 771718655; 854299787; 327861211; 56548703; 9146970; 226323046; 533746934; 312836487; 702831783; 826047977; 255337705; 330732655; 318307526; 956171867; 860008659; 328104570; 711495712; 530043803; 247945814; 419954800; 933488601; 690904570; 1052655567; 409171858; 336003791; 1066765079; 626991148; 618611524; 449584921; 634760308; 761993946; 887358741; 47902453; 551330222; 402692417; 863766000; 854678748; 586205993; 600705821; 103796304; 710302700; 623154156; 281019071; 229467910; 1020810110; 839900764; 149506685; 557110511; 105390723; 512005150; 896123531; 222750422; 189484876; 1019398854; 964817595; 161282439; 834660818; 801817252; 116378347; 601431236; 409004621; 301485015; 20358452; 9887535; 1006415899; 543849535; 772954988; 410152693; 207832367; 784665230; 626808266; 493712663; 501450658; 325555406; 175008410; 469260831; 607661579; 439156954; 769495930; 546781297; 1055662068; 1069972329; 963741981; 396362716; 324281896; 242807733; 527419076; 316670244; 297335470; 400648188; 268078999; 90786825; 348412765; 963688339; 99014827; 251179333; 164176315; 974620989; 232906173; 835882979; 248820773; 1027290864; 682980462; 969508227; 740665346; 305095213; 789158004; 169765501; 989176975; 32397970; 689182091; 1000045562; 90805514; 148761469; 719920408; 755346365; 341806801; 4183457; 112172980; 947763423; 137976275; 854598487; 1069809914; 670502526; 653693938; 1016560216; 236982110; 30171166; 834705206; 725551097; 900441840; 695366629; 124918041; 76540000; 181370765; 1010019727; 20824369; 363090242; 905519008; 683405443; 670620638; 299757881; 251338244; 886538107; 339468952; 491386706; 934990446; 592215695; 994845377; 952141221; 807896028; 1054597879; 764781289; 54860584; 947463479; 273933622; 384982143; 426041183; 142881750; 930054072; 198714909; 321642842; 177799917; 1003713935; 109936950; 213106830; 280498252; 911684605; 381596998; 175987406; 852481073; 426979728; 504134542; 313576715; 762661558; 429607896; 565370098; 666408651; 662345537; 496320921; 284758041; 213279954; 559565069; 27379839; 109225147; 477216206; 964287126; 970652377; 2419387; 1039531830; 989001175; 527878780; 905499865; 783418707; 289047561; 851223203; 359290304; 144484000; 543775903; 394317815; 9553493; 853364138; 300088787; 951654381; 124111922; 927149; 56700511; 548004627; 20534067; 518097695; 313667301; 126426763; 66083265; 233903660; 369951351; 248013418; 725204445; 27459106; 865638083; 573944515; 236416565; 184227824; 23926002; 975082080; 501250730; 824971311; 201624053; 915342969; 1016723522; 771107910; 574949471; 609605864; 529518182; 1069134592; 899711218; 945478233; 919826323; 266961779; 1019892694; 71208000; 490109035; 926868481; 342002752; 276738301; 520344102; 625265909; 683830106; 578681087; 785645177; 680994146; 834991711; 394163439; 520818066; 449300572; 246791225; 698774871; 883530278; 9719319; 566045635; 329534524; 830255692; 235797476; 471859033; 1007543576; 909383423; 974168027; 1014144075; 300528514; 361009503; 247074474; 661286375; 921785714; 852377169; 575700380; 866583297; 737792339; 423220444; 1065727385; 1061315889; 800751913; 68431580; 888758403; 1051920585; 74006012; 281891640; 829954192; 981503564; 234782811; 248143201; 619538970; 921619280; 295102880; 116563630; 252707771; 121700672; 6632270; 427516856; 756835109; 812630985; 350436523; 407947811; 532948998; 509467576; 521943053; 130015502; 110474897; 960919682; 861030014; 137067831; 731962856; 351917048; 18097897; 1041349313; 319794648; 524080280; 176138381; 271506132; 221947551; 478794712; 34111541; 938061508; 205635237; 385488486; 720139959; 586473440; 680483110; 557850654; 984400182; 607747514; 943192580; 931914241; 278381473; 671570255; 245079440; 200406124; 1020847868; 1018265439; 375505223; 222686639; 148465814; 885084754; 100890167; 1018681514; 810549917; 530443492; 453525224; 177904269; 53390913; 920488031; 899851369; 312268510; 50786200; 220154516; 906900107; 451661724; 734345485; 699454668; 884497776; 614041443; 56340977; 530998125; 898186176; 73682274; 957148119; 436978890; 815216248; 46268792; 103246123; 447636278; 659403864; 59526436; 126875225; 266907634; 653994336; 865822564; 166019272; 840462566; 201871970; 311343112; 706816477; 518233435; 573189389; 358776129; 380742902; 470431666; 167482446; 109861851; 947750644; 73423969; 204539710; 366851423; 964747724; 209981414; 536544357; 690305806; 829497727; 685221946; 607984157; 576553730; 503039856; 1040695921; 194301569; 477954165; 133565116; 1042815498; 526801926; 785395976; 504073839; 943246346; 28186063; 83101792; 743215394; 688582841; 712617204; 963857892; 391101444; 68542787; 931545471; 834027678; 796278884; 22153845; 944510753; 227396943; 788750637; 66811944; 129266482; 1004095690; 637951951; 926412230; 1012136871; 321207481; 483842080; 650192242; 164250723; 974285402; 140287029; 95338541; 417081856; 589591666; 121607378; 307079342; 1009479000; 271170574; 724668017; 4232323; 55176080; 345512037; 977997077; 819038377; 1065822388; 535989421; 958261310; 97649460; 1039713437; 1021807128; 586811511; 94891547; 963915555; 1003648659; 357557790; 269639190; 63427562; 556707684; 309875980; 271963948; 683650025; 94645900; 15835644; 237622973; 620615991; 863960948; 525940998; 150151109; 443414649; 848944838; 508228697; 448601798; 854206503; 273180858; 1043074994; 593331467; 999561014; 680654306; 753831943; 591149201; 31331638; 427904760; 4020928; 433946799; 609613766; 809410092; 232886355; 44068911; 997127586; 938958074; 720555826; 304726670; 399603553; 139503702; 1043813140; 1045146955; 489779220; 915672680; 1070016879; 798652801; 299372805; 1022288029; 149658238; 735090562; 905669743; 1006767436; 177383781; 688726819; 540361884; 502741573; 65425313; 796172421; 10799219; 354677913; 628632090; 286052134; 359642272; 579938899; 534525833; 948178348; 590783340; 404837589; 270141650; 808046900; 279572094; 214362240; 987304692; 665013719; 958562997; 72936482; 791148364; 620031002; 958369743; 397555555; 107685135; 1024450227; 1016694218; 899904081; 1001245610; 653668158; 725223799; 536321131; 418790689; 326278700; 877923152; 285920256; 827050710; 929553600; 694929791; 472054499; 261291260; 1003529514; 895867224; 1028872928; 852780783; 312216488; 122981693; 112376483; 278342944; 272674656; 374524482; 673787617; 1035641046; 217661109; 75006646; 774632493; 789443485; 399891222; 862612786; 576723016; 259617031; 75107939; 180348643; 262034285; 738543244; 518604780; 239925934; 795157501; 418854596; 13689288; 913672901; 606802545; 789151342; 986716686; 1011498894; 1064602674; 683746121; 546775224; 23650444; 997914231; 510024794; 185230144; 814533192; 457183280; 995049112; 797263489; 859044909; 588531921; 981794502; 1003309223; 1040513486; 503582516; 951469085; 838236812; 430260787; 948786303; 536039859; 760677866; 260583965; 731763840; 592578147; 544865036; 800978938; 692559539; 874198510; 747553204; 163621713; 1038568007; 418044074; 216243078; 1015935748; 3085168; 680315822; 925615648; 846610991; 898379924; 823269137; 727150166; 710155392; 439125917; 242965133; 424809084; 733762341; 108158298; 535905679; 979422669; 478539987; 457407373; 856449584; 360892076; 654199500; 746597243; 538208357; 249656760; 203405178; 233071898; 947603758; 1007572069; 122537712; 1046810174; 360511137; 247915723; 298321339; 133152697; 803799944; 192649539; 974095561; 426604613; 1010268897; 307597813; 976002522; 877679984; 669134217; 317783455; 615748050; 664472032; 883367745; 648584609; 705017650; 169315810; 25900180; 80994109; 818407192; 1041195388; 837753058; 371031537; 1031451952; 749385250; 833859392; 454497335; 902832265; 730948026; 419386329; 254148645; 811978189; 617282432; 826964452; 1034398539; 277886256; 580074323; 402714439; 960707126; 762809311; 242571554; 386009801; 672296587; 1003734615; 1046735796; 492441778; 505237800; 272365427; 9567670; 271172399; 195345774; 800603270; 606811255; 146510900; 973052628; 153051167; 725425520; 875499501; 942519780; 447514110; 533853602; 323771876; 875876580; 198944055; 1035714966; 701852314; 130911184; 775780089; 557396161; 928210362; 2125054; 313986774; 81882562; 987422273; 263235816; 268749991; 361259553; 267080546; 2468042; 375182148; 226315846; 9661557; 478293608; 897047090; 166084635; 966852219; 1049581828; 666352866; 123364737; 354215363; 469889582; 855699123; 168465034; 914547098; 336738744; 119660309; 687079375; 666123670; 761956394; 477964493; 1041107562; 669157317; 748803144; 444050621; 441424383; 316693183; 281094527; 621575259; 74624821; 565923705; 94338843; 746208523; 987924063; 302208809; 695344535; 96480606; 48874786; 65302955; 771411330; 853279536; 761092155; 280574295; 319838255; 115361157; 404027543; 724776217; 997970680; 680010252; 845808914; 921356507; 682484417; 1016164857; 236476622; 163647261; 602306416; 74964083; 637316719; 747460077; 490061960; 769888590; 79735283; 517770821; 371591596; 570718812; 749164109; 873958360; 831062619; 471132191; 749093958; 190213616; 34968713; 1027444291; 444542704; 687114151; 493786675; 303830933; 543101340; 473584562; 983707665; 1018367518; 568027546; 1027342644; 1057434147; 964570440; 420759969; 202195687; 124013270; 411304813; 355161743; 898267902; 656220620; 688413648; 119406374; 281728146; 683531839; 52224418; 806876347; 77339042; 641008059; 1061231788; 165256508; 996849594; 536880808; 903854736; 39314968; 104444986; 455093866; 65059476; 984487402; 650891104; 573304576; 612532069; 170234525; 143150783; 5326910; 504778118; 172593297; 686935024; 861397627; 396990609; 150321580; 421651625; 83658532; 225801511; 522386632; 403832624; 989184473; 653955041; 147237498; 766465786; 647638385; 960468876; 29689355; 825002076; 944803863; 456725258; 1045402003; 617842816; 1024435809; 585360789; 209352534; 765868622; 48750647; 93551131; 322428968; 149373316; 223703836; 47504762; 867451824; 829241067; 194096351; 522537070; 205015198; 261980447; 902115622; 280211767; 293704056; 858971477; 204678196; 3123329; 479596589; 718697947; 306284827; 781766223; 34765787; 863926253; 569559681; 436864808; 692822038; 42846224; 90815670; 208504777; 751961539; 829934179; 276798407; 82737351; 394441059; 39702539; 960886233; 649252524; 112312681; 203213609; 33554796; 770873002; 629759623; 578005155; 504055214; 49260772; 48281227; 468734090; 442676734; 840315626; 3734428; 459082867; 924017854; 384515496; 933069757; 742423316; 347929794; 923258565; 677485548; 969582724; 603554820; 1045148173; 101278669; 569501327; 586249911; 199557068; 645386487; 958407293; 1027539046; 705501056; 147510307; 960293858; 901016825; 201795247; 984692898; 566270757; 189652008; 544166756; 571212317; 1044618272; 781274840; 761565412; 411932033; 625001368; 588920582; 1044596741; 1016063661; 520756653; 575822666; 21500760; 91826021; 229215879; 838483217; 486389264; 869009337; 1018293479; 972760739; 989314221; 548828931; 928906267; 917986083; 1054212863; 741555974; 147295487; 79748813; 159039378; 532708652; 299408183; 240897139; 45690802; 559404857; 323641200; 190588660; 1036924348; 415417801; 519534769; 876617381; 313858495; 469095043; 17792717; 140285575; 417010182; 336298386; 660108082; 384143717; 793338161; 384496093; 988021110; 176122107; 239345047; 882909563; 125661936; 64594075; 261480195; 645480440; 346845635; 850686460; 611232421; 980805833; 832091268; 366142809; 775276217; 834110215; 551815332; 175859251; 1003046219; 103260938; 409118507; 602304194; 1053738448; 147574463; 1045902679; 921070889; 177085156; 847027207; 181564224; 497831719; 438944945; 627503803; 12357881; 1020019872; 559640339; 819231911; 643504631; 467489995; 12779661; 798051767; 513850368; 492348191; 172277778; 555892141; 504974120; 347224225; 837418384; 422787434; 913004014; 878668766; 397666942; 638920899; 982763344; 979406299; 749449964; 584975615; 989899820; 675692283; 62660497; 995486986; 722022757; 743615411; 639775916; 488181538; 798752034; 8669833; 873040374; 588132758; 523986842; 257778155; 657233068; 183586552; 864375037; 570724685; 192723701; 324807628; 643321496; 449369862; 847564978; 667034739; 468533843; 874081703; 394938733; 820865410; 246558532; 1010192853; 455693463; 46223413; 351809421; 103785061; 108863413; 466946311; 123832213; 53539190; 428575386; 682135451; 1044949426; 208209358; 1073722577; 607038460; 236687461; 122744698; 916669500; 184612369; 979137561; 1037110603; 838720125; 596061773; 764535738; 610911022; 181694905; 377134116; 410056599; 667137539; 590387284; 1003657407; 237139843; 727143071; 765374239; 764289753; 532761218; 411646007; 462782200; 815331021; 429006665; 35749442; 1068979462; 269068059; 877211750; 460877936; 918389437; 483596990; 765984677; 407620527; 600707036; 195677493; 644291845; 45130176; 726108696; 981969090; 726472428; 612583451; 659060950; 120518948; 145871156; 922979174; 773309409; 15913410; 122434383; 736156667; 177827119; 296385392; 786834885; 1002637024; 253296998; 124867538; 812997385; 747954344; 445576332; 107559789; 841699116; 922084321; 694846484; 565228290; 667368918; 378427993; 735585038; 676123528; 1056390186; 894959634; 344117639; 494134556; 1046992674; 694933548; 915825887; 219009144; 355268132; 142110033; 849201838; 27851815; 819890076; 403594803; 500558364; 387198060; 763561598; 74816812; 526326596; 264394458; 612241666; 526638680; 827432999; 319731268; 159908789; 828090488; 1038831870; 1070526484; 146344713; 76496666; 245441695; 865300799; 514414369; 268041789; 229484441; 988315998; 315146645; 979496602; 589522861; 269086672; 460581001; 492314400; 29470675; 94984972; 275732855; 899540027; 510415496; 589342709; 818097219; 277724438; 262061247; 796739631; 991932403; 521718061; 1055750098; 701343273; 15016263; 240597449; 869620689; 67002716; 880205904; 58562794; 1015290314; 894102272; 661769970; 1033974121; 736591470; 65453441; 550338330; 676508300; 559621462; 306200014; 971999002; 306450508; 436557649; 248958036; 642179679; 600977779; 717695415; 656655554; 444421386; 224624290; 580974211; 253201499; 587754970; 66990866; 78526132; 1003353076; 646424749; 607649597; 133167786; 439047678; 10800426; 197733893; 701746383; 191030290; 916636192; 963673391; 40154340; 536544021; 494480795; 669575927; 926625724; 855460313; 989165144; 604835689; 966198271; 742120096; 153631292; 686564535; 292385883; 569842874; 104613039; 360654928; 196362163; 736146573; 52298933; 871083167; 274650420; 521124089; 438240628; 728642952; 914691135; 481819790; 223468996; 906385284; 406812305; 490777966; 326063008; 244897871; 214835892; 773229742; 1022739294; 8695188; 266166228; 691250477; 425454223; 1042117020; 1011498237; 470842978; 492691537; 984099816; 82897492; 686942177; 270921198; 904171497; 185258720; 910554729; 628666970; 180383685; 73270682; 654933057; 275950001; 229857013; 529380897; 813511360; 815205957; 333941026; 1050830855; 639611056; 36422259; 512107658; 784578412; 271728780; 726815209; 483256791; 208113768; 414231277; 817096859; 9304291; 1026844085; 275909033; 272679130; 944169204; 342062373; 776377736; 472714042; 490162157; 286949832; 693056032; 969572823; 51323294; 783255102; 114707114; 891613902; 653865473; 1044001509; 654485067; 978372423; 1003551430; 914259583; 700468708; 829282415; 742594197; 816473308; 595154551; 680902072; 960198931; 573816631; 536326041; 459221799; 431987726; 870857074; 230241937; 194736835; 272147114; 805818457; 104747796; 1062871568; 78340149; 499820009; 617412255; 194955304; 505948441; 670728967; 342364010; 282038599; 575467719; 692554646; 644739764; 528121514; 916305448; 786877246; 525630832; 778393511; 904698268; 736503167; 902546471; 181722504; 818882115; 492554213; 442740402; 34520087; 411430186; 376395925; 33529467; 138251889; 960094948; 902863277; 749900989; 247699502; 65448531; 601888312; 859098793; 1177321; 993806516; 984124906; 615463147; 874410847; 177062514; 93677567; 879000971; 997180958; 979416103; 509176441; 173574306; 952435196; 821336814; 116203371; 1050174056; 934695185; 500380610; 336209240; 745966426; 883755383; 750940644; 846774755; 418302404; 611766381; 299091291; 699533253; 246600456; 988058666; 809202300; 373489935; 140476674; 707145223; 183244393; 936139128; 181567323; 893665838; 671376398; 151316259; 681511487; 55865870; 697340762; 927710429; 556286253; 207282533; 750370669; 678855609; 992124709; 224176335; 830187082; 148035295; 24487860; 475633364; 1006681430; 496061706; 718415000; 488343816; 445234160; 653825056; 84184377; 208606307; 519375124; 973973883; 572643550; 558783848; 976122697; 1056978526; 1027815226; 658020320; 966194340; 657567327; 348605278; 486825598; 598978324; 368643373; 767319334; 996926852; 480644009; 471270011; 251301696; 237684525; 843958640; 781480619; 53591116; 520828396; 187554472; 1005587153; 105236562; 652551873; 1028116875; 50229309; 147931928; 296781760; 263014142; 19992530; 558969277; 611876220; 979489796; 884336743; 885619274; 667701847; 146597669; 1050890231; 761978215; 483714721; 1056983236; 209115587; 845566241; 613115478; 492102144; 969986626; 402308284; 1029489953; 283164105; 650753765; 740867226; 427428307; 304264959; 362404775; 813884487; 495291197; 1025250558; 408805930; 338700958; 182823479; 526255073; 428305621; 823040965; 767396707; 878747085; 919422495; 787195433; 601270309; 102911376; 801668892; 280964743; 758356068; 493898322; 662636226; 772757182; 529685882; 681668925; 94844118; 948192767; 242154121; 813484355; 748828664; 126526065; 464648665; 76269943; 767327042; 319830957; 64993896; 9852003; 701809047; 240732345; 739176046; 378404323; 448558195; 399986715; 509066266; 479790354; 1071567405; 137135307; 878484632; 847738424; 869953331; 746375682; 18331238; 1008674508; 625272665; 777581627; 214048756; 422660568; 278118490; 819353178; 469085313; 804924904; 873651594; 172167304; 224128812; 412756141; 57506047; 219072236; 471525582; 480919853; 530475654; 880798178; 646734348; 604399938; 676170721; 265440600; 367323796; 700619152; 71816145; 573219565; 204082333; 874347730; 512901015; 630827875; 60293271; 155581277; 1050174204; 1071618983; 1051733771; 280030180; 431028047; 965519742; 480823748; 100209635; 651425531; 430742846; 767136762; 572061999; 1057531153; 64162116; 1016715560; 816596079; 198350777; 135623765; 808736588; 695051405; 644733716; 530570517; 341287510; 1055773674; 6971362; 429602507; 895926119; 86314254; 162373646; 171050566; 970354384; 729417966; 525912414; 479717036; 735127465; 913756390; 672062847; 276527799; 48062770; 1020391884; 303262855; 33577334; 153346247; 743305576; 943093014; 717233226; 132125408; 675677595; 457425997; 642807400; 1018970790; 172819105; 590815408; 306515669; 424576727; 200510914; 634361934; 514886394; 220970798; 658939180; 126432900; 591329964; 153737943; 162390423; 668811380; 325130069; 715829519; 399846785; 795505008; 516477751; 66624526; 161372968; 391175547; 831964184; 92170591; 1054129659; 841681112; 30951508; 150352285; 310695803; 952876555; 759830835; 309928328; 171145394; 95361624; 547126887; 806533426; 59723869; 235139389; 823782852; 367231359; 320120123; 565757496; 859750285; 471205337; 688760194; 634311890; 234238641; 212415498; 642661111; 1038192963; 934875079; 318587096; 965988106; 873810839; 483867327; 506616580; 1071065611; 206214260; 760849799; 120132083; 329440979; 742840966; 483589544; 299512372; 48494052; 210216053; 830875782; 224525837; 699441403; 1004016100; 700263538; 963444288; 847041566; 556495713; 130063912; 12809985; 472416769; 1055952589; 266837652; 713434741; 985897611; 337081107; 298700984; 533274027; 340215817; 210201981; 581267593; 774981390; 641603499; 1060044865; 1008818558; 407823544; 355086033; 127267919; 514017309; 17377956; 271758153; 375902563; 437068604; 572483105; 87392952; 501793560; 173298489; 1025496136; 125960310; 804773874; 1049576223; 899415882; 278214800; 678806568; 956733294; 345129111; 136126747; 49506996; 527437837; 430866899; 669497512; 29884096; 1071467218; 429386578; 308554731; 1010317684; 633966356; 1020526318; 538027655; 383202289; 917841920; 62095557; 432106081; 587050831; 715393859; 921291231; 118302313; 1043589775; 368626822; 950913066; 872093877; 585763760; 349922375; 714458356; 53880489; 72243559; 882513959; 430264277; 979030065; 95857753; 27581145; 847965612; 658524921; 195063071; 659074992; 212189999; 8691696; 69413847; 605324027; 710599943; 316049979; 288858037; 108645062; 779848234; 28867359; 187969090; 95431828; 456977786; 253404243; 479006450; 572556823; 152498068; 57216558; 637990470; 262475593; 967570545; 951070135; 674915303; 254216022; 1031058804; 792512888; 978942292; 119750911; 346210589; 803572699; 753950254; 33648311; 706624375; 539650805; 594413074; 411148491; 449520779; 998917624; 1006656483; 786934876; 342047171; 148229860; 378993495; 761225314; 359231726; 474066929; 128672834; 291191623; 71447949; 983743869; 174386226; 44962191; 461417837; 125468827; 1045534325; 47497110; 796338955; 650850798; 916158846; 444222662; 565812194; 475663598; 159103592; 798386128; 50712309; 1060453058; 705916939; 1049934692; 490032796; 17939234; 723422043; 811527423; 201985945; 896347352; 184689983; 647200855; 556668824; 116274360; 196754381; 123398563; 947338055; 1002233357; 1035204521; 52553525; 346192978; 842271189; 866785628; 63853202; 266640255; 495686667; 957299262; 821000094; 201863127; 640520655; 826183103; 672152976; 559004829; 176355199; 192877571; 391189053; 7234798; 100469868; 563871930; 694909605; 411247962; 819386120; 694192768; 573726421; 544652568; 848580469; 567246083; 1018808979; 223308616; 940466397; 455179089; 841566917; 866248889; 300922224; 181758031; 205045409; 93565227; 563694232; 437434203; 496385967; 792768449; 501640129; 905326821; 378879453; 46206016; 479687823; 556842551; 817498744; 79047930; 1015317912; 981940899; 543751222; 333527443; 818650448; 496003604; 955954307; 794481281; 60989748; 382492016; 349628093; 512529838; 1029979150; 420919516; 1022832258; 1069248624; 820149068; 561613505; 83510389; 710125102; 623792452; 23542770; 9155640; 587013087; 876811180; 502326732; 163106940; 415811846; 704072778; 1048690366; 27361691; 347414089; 345164219; 949725438; 182217174; 416343056; 267286715; 960900772; 331225587; 1039011843; 298518249; 959103405; 470010519; 466074523; 875874280; 1051790475; 941174132; 1026589233; 307937919; 812752533; 114937339; 541698509; 613500275; 1018926882; 180521589; 455218757; 323363259; 633378235; 352105252; 827294177; 403404935; 500971462; 361361537; 132621093; 1038042332; 395578071; 396857656; 276574484; 240578018; 206447798; 292584282; 835335688; 414109830; 795456126; 747424210; 804180153; 241197665; 426804093; 196872772; 313992300; 967001704; 209143443; 488911145; 168468054; 1022082570; 1066898806; 681061263; 711812022; 457831656; 362927205; 826037842; 386754109; 532444563; 895359568; 918845500; 927424016; 926828355; 920791290; 123361671; 923914647; 374486911; 184935650; 816749566; 575981755; 186478622; 50689828; 818628391; 981242285; 19237207; 489713368; 324571983; 414520362; 300951165; 447766074; 88919101; 745720570; 865574687; 412928202; 177196857; 274185049; 856516897; 1007785621; 636544828; 731688880; 394809350; 339339929; 866990461; 1036995708; 634691502; 428928044; 442868401; 421805777; 201731889; 689191483; 121471125; 341198961; 120394456; 454020192; 363146202; 738803637; 582517575; 773345263; 256933068; 515962437; 225419395; 710805508; 171907708; 1006831259; 542099772; 869485997; 621698669; 560117630; 606990236; 340278492; 570704342; 173369329; 775584042; 798888902; 1063791017; 754298927; 36150333; 888009720; 672468780; 216406884; 844815931; 12407880; 894686134; 82486810; 1018484623; 1058235196; 976094384; 259076214; 131533568; 897563059; 671955841; 823367953; 781805100; 9335617; 915254292; 859785980; 883247679; 532011021; 636939216; 978801033; 1050155260; 617268607; 612337536; 423611547; 95904048; 357644950; 563352443; 22799167; 439046868; 141310004; 506337271; 585868907; 820929800; 91473462; 297156090; 229226350; 562335495; 203250924; 532871098; 907008570; 338125895; 371159019; 78634247; 978213650; 805971929; 993655330; 960350552; 191292685; 1004377123; 806377844; 27211999; 355147781; 742864980; 625898867; 160195912; 1070047823; 810077441; 708613471; 86527498; 573288115; 119859206; 163173655; 164850475; 961580894; 559981894; 786154201; 537621984; 20503462; 799698703; 573048130; 256471214; 454441592; 731523550; 459584556; 816586931; 394476020; 937419188; 216964278; 183483042; 1044648260; 19302390; 395413848; 236689162; 931451163; 679275247; 975744992; 632233043; 1045009887; 600764799; 552778317; 886707900; 1058363842; 1031364113; 197209097; 246246376; 797962772; 599833062; 879461538; 311943967; 218431079; 949718121; 646398005; 217577509; 152544946; 401457825; 637626065; 877629639; 589983552; 745666166; 292552081; 348589177; 56818704; 294008788; 409947281; 848957413; 1062695399; 980414791; 915612220; 103304277; 53642697; 49295173; 407453890; 195449295; 134492808; 894454081; 678835133; 349654837; 155817223; 471077142; 1040915989; 818063311; 682742731; 328853148; 413106556; 829015074; 245019720; 69981559; 434109968; 1032133781; 14237147; 1028448457; 98152905; 880127597; 283728643; 1058864082; 384147294; 424226434; 825071903; 496860296; 471782620; 311381872; 701009532; 707615667; 1042158574; 799023706; 498632181; 423930355; 343705116; 995271248; 56950338; 301145217; 418659437; 432240944; 898204719; 169282924; 375037455; 256136561; 264135101; 212630523; 691441145; 320471802; 786102367; 872191249; 793327290; 209467367; 1000508204; 707312911; 974422381; 194781895; 1071437187; 226650668; 1011116197; 674757156; 989624635; 378503340; 443253268; 361976934; 381669034; 684504424; 915178290; 709070567; 238893571; 438370817; 574644409; 978653090; 450193080; 317695753; 350708108; 128776177; 105822037; 864572090; 551532400; 676435219; 940786236; 154326732; 27365427; 734340833; 310032895; 758105765; 474905563; 277129899; 1062926126; 698797644; 482701308; 481324109; 441460899; 167889844; 997784228; 1049078991; 97544950; 443891167; 424043817; 852401375; 25630607; 181796086; 1029985987; 159956970; 289752929; 963040571; 724311919; 865386224; 583230537; 699339718; 167994338; 748058889; 428650969; 328717476; 875310075; 743286995; 505678958; 98319599; 321979070; 924133431; 790837966; 197952192; 436247022; 339121011; 782716130; 61844165; 406699491; 259250818; 612775259; 108421454; 802506357; 611228677; 688722057; 362081183; 613993308; 817845407; 73474773; 912837047; 167393129; 87018195; 2975146; 372309615; 716333903; 9238436; 1009995113; 903641804; 176325277; 701207829; 46580866; 111167076; 115008389; 829617646; 523593780; 72030224; 622344628; 697672164; 851513081; 214685046; 265392319; 318145028; 369837350; 195855756; 860180173; 503061462; 783000377; 750322827; 1008448741; 804144122; 945803024; 264892088; 563972693; 570935731; 723164673; 377760044; 880059133; 353722222; 320624215; 309449628; 31584719; 587577236; 692392309; 1018582826; 671781915; 238325287; 962956871; 991570076; 602589667; 292827693; 559191181; 877770652; 533610811; 847140419; 70078733; 1023370714; 588252818; 772933877; 485943789; 738888800; 932919315; 637716765; 1056464765; 75762063; 85931206; 204637808; 572776209; 410922355; 225395351; 693283224; 119351618; 92741921; 593332502; 28069622; 977564970; 353793313; 31001917; 213837876; 716972370; 718609383; 681936122; 653885719; 838106215; 453318026; 468648710; 453460018; 510733916; 824127309; 514756948; 427715851; 721740691; 299831762; 712131016; 240736258; 300837804; 152556467; 7251112; 869458851; 447729682; 1065341535; 1017978540; 338068493; 166952573; 412620709; 377226539; 72244862; 842034899; 543506432; 1049376777; 145278256; 106788743; 249686665; 213187837; 508231019; 1040162482; 1004777507; 139246000; 514821328; 1024939875; 826896490; 831857076; 454304583; 318784613; 384234740; 357015096; 60685204; 991106915; 366298255; 415812851; 633856966; 629571046; 144561083; 882854941; 942534332; 906308081; 727930896; 757127318; 164795616; 717639853; 896395453; 739442080; 128915044; 147208186; 233479099; 548283061; 1002288733; 432924139; 126946796; 11299255; 136778386; 610817810; 995688207; 37767246; 911249349; 444261675; 901145180; 914678087; 634626669; 41384136; 646723561; 17307154; 318894147; 899599949; 77592202; 369459996; 97689130; 946080220; 1063966877; 946451757; 227181768; 635774796; 229837981; 115446252; 1048657109; 390549068; 191709894; 729551436; 935430141; 909454263; 982641917; 1070493868; 465974446; 313731576; 707108252; 134569436; 353949820; 475444148; 211720683; 27205899; 219310492; 868668307; 492169564; 960002822; 801177703; 732936978; 156993380; 967495137; 544135911; 912674240; 670744718; 172158451; 336591731; 281514660; 1064987174; 528799734; 387948049; 907965222; 716473326; 259057777; 704438807; 341556718; 565406200; 483601917; 528697474; 210469350; 965434691; 749717729; 646476749; 60879250; 996691280; 942144732; 937956345; 730546834; 282976070; 788548936; 100211112; 166002436; 775085069; 403328946; 892879763; 923115082; 1012849896; 817200962; 277091459; 208306299; 470307444; 507442820; 417478541; 1006277192; 203116199; 2064900; 954255069; 280271798; 1002583279; 182577386; 91811117; 272972897; 161028111; 635894707; 546025416; 19035761; 215161744; 586388648; 463064424; 770360683; 395780307; 379578855; 665454475; 49147719; 877978872; 635594650; 975595334; 123938677; 83171558; 363217909; 545362828; 113514017; 241088393; 882709867; 420749666; 156652570; 70479052; 374183710; 1853992; 138402590; 338895637; 1048318282; 835561540; 291688494; 188058512; 127858566; 452737962; 40372076; 7990874; 741285313; 932518935; 811373245; 640706171; 31158001; 743999214; 531781152; 552084821; 1021066303; 1007006140; 30682024; 28693551; 829861540; 948618414; 732759751; 724538519; 583307722; 387229317; 914476140; 632291312; 421634435; 639625410; 108035422; 182585263; 763687846; 252291656; 1059748862; 187530382; 96781146; 445610050; 168283684; 654756528; 297709718; 75074395; 169138287; 1008323856; 327722874; 197065655; 775081032; 323685626; 557393535; 945095072; 746723373; 342688638; 932569051; 216096881; 540142561; 669983514; 650299475; 232597214; 302928508; 995819719; 626090918; 92427056; 106134793; 456229711; 1053502653; 847311404; 406800531; 886924143; 102174702; 561484564; 234342425; 823054092; 616820781; 999777887; 559428974; 1000097648; 450706318; 864785702; 111531459; 180762473; 965665293; 595663806; 207180572; 446917168; 300599610; 711897396; 733890978; 393794325; 553089315; 865777837; 173767098; 171921140; 879298058; 603491923; 44071855; 684813234; 47821058; 387885893; 724264703; 1030975923; 244218232; 442532386; 271126777; 479792381; 244818149; 1025773779; 162113475; 729425763; 409836668; 614670631; 567203300; 953623762; 161405553; 395646139; 135185074; 412843677; 464977564; 827577794; 197339625; 743497267; 725050410; 875148169; 419403971; 275666508; 218222189; 680507916; 651280527; 322276264; 830584666; 686153188; 573824461; 708740104; 335626076; 354532612; 873018550; 954848543; 971110254; 56911307; 308906078; 583867510; 284828398; 846603449; 677847653; 124830474; 736535189; 133030245; 221494835; 217491944; 727175738; 1001605853; 759394102; 500958026; 89595939; 7287493; 491982322; 527221213; 165542172; 477783594; 598438031; 171878907; 433612227; 813559386; 538636187; 64474231; 266502403; 274897167; 422094126; 1068922969; 511139071; 929019378; 1047693409; 289665544; 524215084; 292039538; 649639759; 40733251; 998244827; 9531968; 364977628; 517676658; 770114182; 965258758; 394396852; 642803420; 947337463; 741366555; 29055104; 1010749451; 745163096; 158221431; 294738003; 788918879; 788056347; 248129549; 139110505; 1038770456; 382879470; 971939198; 297129402; 592497923; 337325553; 797937364; 637171013; 489761031; 1024510112; 1054361194; 11718320; 990025573; 1046089839; 917960849; 313049898; 12753943; 382100021; 159338608; 90140010; 20901053; 147156824; 277384689; 652898858; 991003666; 658868537; 675440768; 137139337; 253341367; 502081895; 141749424; 606586676; 172621682; 244158168; 283774942; 23413503; 876945291; 204458797; 866351902; 140574556; 629291642; 67365436; 985059834; 18282328; 321308738; 796265434; 1037332054; 799256623; 565923112; 987920365; 1046654247; 103848498; 1035352023; 386774499; 159774715; 748402631; 879549322; 870713234; 552983990; 951742348; 295081652; 221544018; 384466919; 904357541; 833061382; 558161564; 939486805; 570492988; 641990549; 997280457; 936298323; 113929213; 898090861; 284161290; 829989409; 567528727; 932155760; 25489446; 558907583; 230422583; 615618854; 316361664; 912235680; 761546215; 519630060; 892587678; 782102816; 326814728; 233313694; 331699135; 498888165; 528674567; 656935245; 484997835; 925811824; 787906074; 888580416; 294641105; 252423637; 353059619; 1065826124; 965671958; 268806055; 89515737; 952719512; 920257442; 618627895; 781182635; 1020310336; 842284468; 1072055212; 879597686; 450447000; 123287174; 324184332; 911809288; 87930408; 735214724; 703358010; 903026758; 16192314; 740399233; 320336043; 191725749; 340401486; 1018088195; 932517796; 426260739; 871439156; 346450529; 20248623; 257400284; 416846105; 919064287; 188065784; 70931061; 156686769; 578103537; 689672900; 1021674231; 307835370; 482372103; 83838745; 991590554; 890238489; 420942448; 62530311; 1042937076; 995663293; 973412595; 602006404; 873474613; 158566224; 723003183; 510194855; 622360213; 1030610964; 235327283; 124547655; 47722465; 624980357; 872961406; 1010065506; 795621978; 580516423; 578761110; 51868306; 541475900; 1073336828; 938151058; 880041467; 993923392; 553642290; 793515678; 20545022; 432237799; 351597898; 1011850186; 421729600; 405012390; 1040141077; 958119823; 374821662; 216751306; 497538316; 628033146; 464848272; 114066792; 820339142; 455688853; 160966815; 645967738; 143720459; 215191764; 831105120; 722950746; 105058173; 1413335; 858024142; 430152045; 206316145; 135811088; 713824019; 395569775; 754973763; 807860190; 849923660; 471436390; 308166876; 329990945; 786429109; 256955439; 345753727; 764189726; 614053995; 714983760; 551217688; 22320520; 869275093; 666510989; 860498202; 611793093; 173804432; 983754922; 874990416; 373008977; 813001025; 550922203; 780843705; 359539496; 436953627; 6903126; 682669549; 224809768; 409498471; 749911878; 186118522; 553622818; 821330241; 342714160; 741970678; 614789082; 706417259; 756055459; 549435409; 707026072; 277589494; 327842181; 261770877; 839030590; 771650036; 931822525; 966630916; 419731766; 532103042; 335509390; 411694371; 392253757; 385592984; 411215153; 997458597; 503352138; 468609997; 512733517; 756480058; 986253893; 753609672; 42198003; 641041511; 512893698; 822861335; 819512693; 755241693; 786594694; 275809555; 277970930; 879464143; 864979533; 800634125; 231746831; 1066797601; 438741544; 1024580337; 701151712; 853276896; 100355874; 348679479; 301034848; 319196081; 152120120; 379267108; 204604384; 864665319; 134528196; 313627825; 555878818; 523220449; 23165319; 831224586; 717379326; 726010801; 145363109; 560483429; 50059148; 84683067; 61217033; 546670361; 795582799; 660693006; 643141982; 63533850; 614445677; 1055784634; 459106342; 1053738873; 743221306; 232282082; 761538552; 541999287; 1063754965; 417305687; 356197495; 519552175; 881106899; 520115378; 694329323; 369488609; 207841104; 377606137; 319020195; 590168304; 370367198; 579286043; 956873488; 679891808; 355008989; 765521620; 377418503; 1052452491; 754828941; 361617356; 119646981; 368254877; 277535538; 291246154; 953159663; 110254721; 287973020; 554881677; 555557076; 835231350; 500192574; 657101402; 642545461; 781517048; 16965564; 286201121; 728975400; 147011470; 465535138; 74317035; 522068931; 743987368; 99782473; 82941733; 455302043; 768629234; 284405736; 986421559; 759306572; 740549712; 522279880; 23092628; 852041119; 342303229; 973540149; 742195525; 769833381; 903216027; 93254332; 1014209048; 794078715; 913926996; 735983703; 683288425; 548471662; 343829318; 541094917; 614129501; 80938864; 444510207; 809332913; 268683495; 866728415; 69973852; 409540782; 874922822; 847358055; 675883837; 499003401; 351279747; 105432527; 223807125; 849224006; 449747650; 226862786; 707060507; 1049448268; 341983398; 885898133; 960151686; 788221765; 128016172; 564837676; 412859192; 43037599; 273139390; 776896857; 969473258; 518231775; 653688835; 778963827; 568302423; 783905287; 991527503; 589799848; 957432337; 54043778; 436210482; 533054653; 407239408; 748901341; 503213609; 172044509; 280861253; 459060834; 884740326; 743543977; 534210253; 595336435; 75258158; 785418500; 620595654; 132166232; 1002575326; 909379664; 817297766; 357711945; 437139825; 134670304; 978811167; 1070592337; 474322700; 280277650; 828916442; 91528763; 494646110; 807711867; 704535640; 29261451; 349335292; 64273785; 91964781; 436670968; 502274282; 511834189; 480287693; 7219530; 926341354; 269922277; 679705258; 371745652; 234700561; 427482080; 738934603; 915422984; 717465530; 504090094; 291462796; 628151746; 1048956558; 473323716; 80645901; 815843046; 917811239; 209734860; 628221714; 884214252; 1420812; 298799197; 195291584; 626007176; 489863277; 391437249; 20744967; 724653513; 508142127; 813314277; 111060088; 370015373; 202378910; 1064205947; 303899862; 321962351; 310439738; 10488528; 141230335; 219049305; 248698813; 379487718; 397214221; 194950306; 1043717176; 644045066; 622516863; 610374952; 5629078; 896355898; 183490189; 270494554; 385590956; 1005898794; 381672172; 584783623; 520871432; 953601270; 825623525; 928194513; 691190434; 738959991; 354071608; 875327679; 518406526; 48090591; 721627812; 1014334392; 339196359; 78459558; 1012680134; 493146376; 737382219; 381363944; 313385056; 974909995; 304150553; 541142025; 264765225; 591234706; 450575694; 260146779; 778065077; 302456133; 1052379886; 1047121077; 9422087; 211625389; 64866282; 947426088; 758153295; 353216573; 729060945; 1025324178; 495856241; 596049273; 987995237; 674758820; 833900769; 285300457; 304908768; 194180342; 241677315; 712088553; 445538431; 1020163103; 195888516; 380728601; 526701397; 816549386; 769050591; 538061575; 394408237; 159974105; 277138965; 817348974; 272006194; 527727260; 543890882; 996534991; 1055499645; 547597551; 790760089; 140290050; 459693891; 509314539; 119250764; 876518521; 304368319; 302337151; 385238489; 1020995633; 523774430; 1016691101; 653697312; 729878211; 780976691; 1046235279; 870202904; 172931959; 1056579667; 127026369; 940320781; 131516222; 487978537; 477758219; 555858128; 48695283; 471317852; 471221964; 281782752; 320539540; 829053933; 993635527; 53099946; 369700052; 433824249; 364058062; 606985187; 1045854542; 607878211; 663118781; 82007669; 260902972; 8905619; 526203844; 86465873; 33619422; 313647310; 49782459; 536448685; 1009970425; 400449317; 914862188; 747837413; 98796566; 60171484; 412651287; 66211282; 570624025; 910032960; 258432212; 958542575; 780514754; 26432468; 773342685; 105361697; 697085051; 171342718; 395019253; 487119210; 610283683; 1045801040; 198046212; 562090614; 682993629; 1072524597; 7450267; 1022329629; 388226103; 742822549; 323690007; 825240910; 81878426; 893443872; 368623156; 343200193; 934184586; 867285706; 243677148; 528314538; 586283337; 574367845; 386588177; 59765269; 691775298; 1067094019; 124660505; 346079434; 917342462; 48557455; 669992387; 961141272; 674680573; 634428964; 443926763; 706466117; 818626404; 458146314; 766389438; 641368243; 213383854; 701176069; 141359842; 208651144; 1072835211; 1073662459; 792305558; 322879730; 303851871; 752668896; 191453284; 737347458; 452580762; 296615973; 481777558; 188185465; 537852918; 263686386; 824151424; 907571939; 875168046; 1052608539; 413170621; 754298615; 107527907; 471914621; 143323467; 1050227772; 624650846; 859314819; 671860928; 568152801; 145741963; 1028260281; 769822418; 51609681; 552933645; 177899822; 194445539; 534755205; 1010705045; 1027554512; 363075147; 320219732; 901222902; 682939501; 1015102311; 766750140; 354608692; 434072891; 36509499; 1058531096; 413571601; 919490556; 632579797; 322337112; 190168045; 709955421; 960976236; 782525561; 733282374; 534497305; 573253634; 817417322; 668999988; 302545842; 501279023; 154226951; 1022945737; 370367512; 124260518; 544991081; 73559023; 287244245; 611797715; 869791240; 1043734884; 436385120; 1073692248; 169968661; 387930386; 1036538537; 95825488; 919049763; 600041734; 583858898; 1055042218; 1041738129; 261929664; 120611041; 930388798; 733530333; 425263629; 389341871; 888750482; 339425533; 970658405; 766885215; 536473798; 3948310; 1025372211; 707472536; 120899157; 356812325; 1034691047; 825361204; 751316538; 664638835; 369317176; 480575279; 994221788; 322668082; 339527558; 435527599; 92139805; 200243421; 247510464; 722620029; 517588917; 155696469; 118460163; 953888204; 411210095; 638546583; 562369714; 97085326; 230288384; 613557787; 899337687; 322035771; 498566177; 895203561; 267871198; 1040758027; 92595335; 471087653; 303675934; 732997431; 493490128; 125976316; 746315026; 665322774; 969799294; 736581495; 910094924; 305450136; 204501702; 359215356; 895882522; 835397827; 1009397540; 500451943; 388782364; 553619330; 420055175; 83464532; 968987596; 75901489; 594503666; 119694237; 537420862; 691929640; 751858642; 452730761; 437271842; 325848646; 241000454; 388779742; 633288003; 693441090; 1016983537; 869623607; 784169654; 405780738; 538180775; 950463242; 619378997; 156535095; 818213036; 985243436; 658883285; 670731867; 16567676; 300438169; 560169534; 951430474; 78685043; 693246676; 518729489; 488740495; 941959001; 659180816; 540226831; 409560378; 587360688; 1023082804; 218971092; 520749230; 1044481891; 502257323; 18965100; 362311179; 370165613; 480987343; 289418907; 186208646; 149641716; 454714349; 767982195; 861284827; 517849271; 713745620; 860300350; 164743909; 406780272; 750999390; 496966090; 891845939; 198580048; 776263213; 273247336; 585099994; 528037099; 1006357596; 273433415; 676167762; 658167108; 326138798; 599288399; 195809184; 918850593; 753451096; 15563126; 792752834; 676037520; 291790881; 293073573; 149250830; 778958812; 245326761; 469322828; 895769876; 13696519; 940405193; 784806668; 474487037; 339030703; 473584675; 642982919; 873444374; 159595395; 315920793; 772386561; 229220621; 545864490; 723203409; 782823415; 195204970; 749698482; 764031483; 343332657; 750582013; 580864407; 354648621; 734537654; 385343128; 87200299; 130267943; 155935447; 138128782; 757289821; 587425488; 855892266; 918302655; 260285692; 976873871; 375817496; 254840647; 52857595; 623380772; 355022188; 762300177; 935352381; 227039256; 507606891; 382495187; 181377159; 567954552; 165792082; 889924245; 597638233; 941723852; 419311913; 348838647; 189323591; 134767847; 293878070; 121692969; 364810125; 831157062; 40657420; 24643026; 617580344; 573058925; 1026095233; 590786594; 286727111; 594212172; 897957353; 749537815; 35884102; 441752429; 60717028; 893768144; 752174994; 429055924; 317689324; 121298233; 321359466; 67080979; 360036431; 828502055; 691328722; 316297233; 165358879; 424285972; 408328537; 31090324; 554779614; 318840722; 867449206; 61641709; 313228239; 887346277; 2925791; 419138514; 384204465; 769793565; 18433423; 990604054; 695174103; 180949101; 62917959; 289290463; 547925454; 82377534; 1007852617; 738303330; 85659678; 977665676; 839234650; 405858107; 673279299; 283811534; 164534193; 247574636; 724106989; 71871961; 960020178; 313799081; 473982278; 456092401; 932308906; 814319793; 645733523; 282003054; 428368917; 483938977; 1070979088; 512552108; 208917604; 784878043; 795732559; 640299433; 590396246; 411291899; 820406776; 428602430; 333327470; 983615005; 431320739; 633061134; 586469436; 26153769; 446245270; 1030085691; 947524625; 172950004; 352707841; 673785044; 651617547; 891716086; 440300221; 228522390; 295054018; 17940718; 503412329; 1012228137; 878880019; 908672882; 230727417; 346547335; 221324353; 811193734; 312000675; 419819468; 378689727; 239259591; 287924241; 930686088; 725439928; 429973502; 982444135; 1030535676; 446982707; 1044976472; 418860236; 99419783; 186059289; 286640149; 907851864; 581621782; 299057351; 331791672; 879517855; 699782699; 283573515; 156388527; 270839318; 739784563; 39557965; 729944275; 860157132; 382311929; 860837645; 479391637; 928713107; 152921363; 982599129; 519323586; 504088992; 518535385; 734684462; 888021684; 507419968; 304094673; 155287527; 518600940; 407894418; 812299838; 846532500; 942758554; 513198195; 578249523; 367489522; 861194130; 432089524; 1028952806; 417965591; 664160370; 289357358; 389243414; 1018184523; 143070464; 380891065; 849502114; 996844768; 65917358; 496077175; 455075941; 618958355; 390572364; 857960966; 1026549923; 203693463; 566589934; 288965459; 346258788; 18235237; 270536161; 261061705; 313229673; 840449825; 1013698944; 517759738; 411426564; 177718231; 1026741114; 594404939; 850017066; 719615593; 660464535; 755584195; 322649791; 59160419; 839485463; 117710008; 932986324; 609470207; 540494299; 824765663; 397628112; 372112813; 752023529; 163327596; 838771958; 676107669; 96708440; 1669105; 922521766; 580561492; 707202191; 912332155; 587214437; 859332050; 152889157; 421525116; 296812793; 612358186; 863801873; 77525557; 1046780705; 839692804; 890515490; 650858805; 839484262; 953314126; 19197409; 48482410; 328770152; 385635632; 50600109; 1064726181; 901329157; 880733069; 290962428; 46768060; 674425528; 416451249; 836610380; 850651744; 231345832; 59961428; 1001978626; 664649982; 129066134; 782677506; 150462954; 215629336; 440768666; 203202413; 323815838; 342361838; 975945944; 305955006; 37222901; 516071208; 1000873541; 1030274909; 679155218; 198243246; 143489218; 387412247; 332293372; 802285346; 734573484; 499863991; 725385602; 109436459; 403909715; 484308890; 870673102; 300168119; 108659727; 864126950; 538122672; 1046449377; 742409535; 984599276; 651859403; 370933584; 52632207; 65547479; 103657153; 216710553; 93151744; 956076124; 101956510; 714538995; 523510049; 187794821; 181412174; 721839105; 285126160; 468131375; 61262038; 225106840; 412600785; 868606383; 13145131; 291112425; 789685474; 462086142; 758092069; 831744733; 795481262; 744956400; 302744458; 275986206; 971341740; 135832191; 900215382; 731609981; 543937004; 546475305; 637539212; 889447705; 936654626; 972617251; 453002741; 90874954; 633559725; 196119565; 1060633644; 408569263; 48987353; 92529120; 925622212; 966678916; 969757175; 840556561; 651747412; 734771942; 566439498; 959909690; 107484833; 931034016; 153632021; 900278874; 519114355; 607136690; 540546564; 999078367; 904044154; 180301151; 796590744; 839953502; 70575279; 402100877; 952221925; 943184374; 263083357; 523134681; 865386555; 310203751; 233139703; 164259114; 827685957; 378933194; 860977510; 192520181; 53233227; 929929127; 595034521; 164569562; 518333835; 199944460; 630165561; 120375763; 1039451545; 157255945; 275771730; 543827036; 809270505; 341737319; 481534069; 162794099; 774056289; 107660826; 64383568; 683082446; 836476413; 645531222; 121364152; 259531636; 1024967511; 1027996141; 336311649; 350532318; 344126980; 558435174; 37914167; 733469347; 61399657; 161245697; 963976070; 204767479; 560850300; 638941648; 39845203; 375785610; 453681993; 517742046; 333972965; 698506915; 117976310; 679547681; 705669329; 729683451; 709963484; 594549491; 38357636; 408010288; 147140786; 411116740; 549361314; 45995669; 31146316; 933961152; 265797771; 802651541; 844093926; 760857886; 784167949; 252992350; 853231421; 318914013; 66636796; 482324814; 609323557; 92801283; 653079229; 604159263; 934715882; 771914; 94306071; 825562895; 63560307; 705241531; 754881676; 960722828; 406642934; 886732167; 514220813; 733011996; 958173194; 636784591; 855329003; 554585153; 892260515; 597420141; 815184369; 645205920; 562391687; 509830190; 162700411; 887871747; 981888560; 81433465; 916028411; 220847126; 819580451; 181523352; 78038000; 83752973; 985130803; 1020399094; 189629739; 592915854; 371072621; 616786474; 772509037; 120881953; 54899129; 416717611; 779120865; 319989130; 674540975; 149551554; 600397108; 536777355; 680636861; 476849912; 609445854; 116053492; 510731552; 584090814; 330327899; 717392229; 589123632; 379736955; 120705204; 1051367202; 414589567; 323904775; 1001840441; 770267194; 1025083432; 12292982; 251471842; 879716541; 242005479; 934802247; 146867870; 617971741; 257297915; 572056163; 708434022; 339358742; 184081697; 872960337; 123432945; 979948628; 782734677; 368304624; 570538813; 88603584; 79670284; 629764988; 939070437; 556244096; 204242738; 77379304; 777473137; 1002459091; 359485449; 814220348; 662642262; 620309055; 275521970; 413540792; 937771742; 802436791; 154778907; 733389861; 37668244; 66318154; 854674443; 522062956; 74102269; 702124580; 183284086; 908399397; 209835804; 14766253; 166812311; 120218543; 928611650; 962727264; 420562168; 915350531; 764006146; 997939061; 163386146; 913505448; 310134835; 338473508; 211961604; 545799229; 558083785; 879492931; 407419709; 165808032; 137098553; 384141399; 549063846; 1026428811; 504501906; 546011272; 681709645; 853999574; 941405094; 763424643; 99188563; 615773900; 640368446; 556210348; 83303898; 499432314; 421489237; 285884613; 792196252; 185788041; 910095475; 364443410; 21821412; 272887799; 341518926; 670795858; 286235928; 591455695; 112650340; 369378596; 502940319; 96061233; 954554834; 750372661; 360386840; 588624370; 898965490; 416091236; 1009173622; 241434844; 458430427; 424389246; 611905025; 753598000; 541303966; 126148087; 948733458; 955289957; 819109555; 741510584; 660933151; 147331313; 62301865; 943692; 672106167; 253028019; 1073153167; 284315045; 973820586; 158125750; 32778475; 103869421; 594195086; 708158132; 157181996; 574615044; 54493535; 997644495; 566180993; 865259954; 911195793; 1029737296; 875667829; 422876865; 307742973; 560013518; 348447182; 885127767; 195767329; 864248086; 1044471801; 261743019; 823838910; 257750840; 103361452; 477148839; 239749064; 453152699; 901457749; 147615760; 557027582; 561978498; 743027771; 1043361587; 828521055; 531557649; 210716411; 245576066; 399470971; 817888726; 1904154; 586444270; 94750854; 735839047; 1811952; 607125746; 905671989; 42567499; 1061527391; 1016330787; 1071894069; 600148844; 610112900; 165943855; 44813058; 193445457; 812696748; 321677190; 836194234; 118297237; 644093236; 707413885; 78053782; 475275340; 935099678; 137849416; 887353832; 179546921; 605866981; 1045985051; 155087369; 200826324; 571237783; 502816589; 527415463; 581853123; 628525740; 949261948; 263049674; 301964791; 556529306; 46267861; 706223117; 238710741; 919935389; 609882772; 767632786; 210779329; 16929228; 174687391; 731679073; 117751321; 416888765; 895159929; 1057087936; 837597357; 110993845; 534004751; 546164333; 891868962; 216288043; 636294834; 737926352; 361849761; 13743441; 295479455; 739961538; 959575916; 883569356; 903780659; 455935731; 262120040; 460861635; 588386971; 422270402; 377321337; 640637375; 168988541; 665296495; 556464399; 902101615; 190619557; 93262562; 14333901; 851331517; 638758101; 179965642; 176794753; 280977278; 683044665; 764380192; 1057824946; 529422077; 524713564; 634694308; 1039399495; 602983416; 962831885; 512638928; 890319423; 464251807; 93909918; 471845748; 291637691; 1023639013; 534962996; 538896494; 269497971; 471998667; 286555014; 825868180; 943490267; 945156327; 407679800; 603779346; 617448342; 746534004; 141443505; 47919601; 918037981; 31065372; 1017372672; 308606590; 345286888; 44027440; 642252488; 970302697; 396501805; 209172028; 764424462; 515439093; 1016612562; 584387204; 841706480; 879766929; 6671322; 628018623; 855788676; 59876398; 384327046; 544191913; 719879785; 88828480; 31186490; 997496072; 438435721; 621615553; 150665600; 712408449; 339993308; 681547828; 501969508; 180629031; 1011280832; 893663830; 740940476; 197430503; 225795564; 393906132; 1019703946; 839174822; 335101874; 360674535; 93252490; 864909516; 903726778; 898558606; 417061157; 800871969; 871534330; 422714019; 70625531; 203186655; 546350226; 68616743; 499148580; 816925490; 530695553; 345426598; 579707849; 583798412; 979401132; 733466682; 265490170; 432475789; 608929915; 441685954; 449093121; 334730786; 942195906; 563244916; 279514730; 790025848; 311631928; 368300460; 1000557328; 160093605; 604786863; 972002931; 696905774; 268247077; 906271637; 859199395; 1050729629; 27758350; 415432267; 998684576; 996217230; 727236809; 579095628; 766450597; 214014031; 1068418067; 654709578; 816802895; 838444025; 1072570247; 548020031; 1028476349; 892483157; 1008743138; 473664304; 158511572; 808343098; 1060106829; 73271387; 984002470; 700084155; 203361048; 884149741; 689527834; 123182728; 142694821; 773783133; 598592945; 925626941; 257897695; 588056427; 351373699; 904614997; 780083056; 710422912; 936666460; 571976465; 558930411; 489040941; 588146105; 982542557; 533551715; 921586834; 873186952; 1032234424; 762164921; 783098325; 543908942; 350166198; 224792344; 383383904; 528731373; 723817307; 708992558; 343936434; 893011956; 1014280604; 336318856; 288560276; 74526885; 624096879; 715754014; 135116185; 1052850919; 923606074; 394523046; 77520145; 623158720; 434174046; 150335563; 426965184; 483474683; 582469884; 361930357; 563980240; 722376027; 516267657; 689752056; 334481485; 928464728; 967611029; 292898369; 299239792; 526643956; 1060235856; 292454321; 495257280; 891993373; 512200983; 301937848; 203910769; 1039232878; 77004399; 980132029; 665042534; 974153354; 191217264; 137223633; 930861848; 715196120; 995085184; 100246957; 48847615; 879923461; 835046417; 143825208; 32336971; 657393966; 927350381; 1036884542; 143585281; 851740802; 246795304; 32708101; 510254252; 86531254; 312604422; 990927141; 395041602; 888457330; 899870915; 450062395; 921358030; 915566054; 227194786; 901886354; 716640277; 393997253; 827658519; 89986920; 211004805; 634028093; 888074454; 1044904720; 796028079; 228363832; 434435348; 1011350425; 606193908; 200720777; 483028724; 408884249; 86455452; 45424854; 887793816; 78183952; 765370818; 941611585; 925132911; 760380341; 152713113; 651640005; 688655876; 218570031; 749779848; 93477799; 56345269; 216441604; 21050881; 206887982; 678894483; 1006586769; 913918647; 540141781; 886569612; 637288007; 803720687; 97180913; 712083658; 417205485; 512957541; 726772385; 511162383; 724739800; 999480297; 18436363; 573072299; 583453419; 56247155; 602576644; 123523232; 640131854; 332836882; 439343825; 151967180; 314346303; 693061428; 894658775; 1029118842; 1021580046; 235715878; 122321621; 891271241; 284152719; 323472321; 96121110; 187134631; 57713996; 4215248; 1012278001; 910037733; 979530404; 1060229876; 860312299; 1068597800; 11334479; 49272186; 235948792; 42749850; 178681278; 182763085; 379797721; 673863337; 324761829; 122019585; 1049979119; 90576270; 686368089; 162360541; 893714263; 829703778; 202175837; 741289022; 240504384; 49836395; 983905389; 607779326; 1000193596; 75538083; 992673675; 809054488; 700461427; 392844800; 477518731; 126117121; 621092162; 236369348; 890218832; 532409677; 684239696; 39697301; 271242485; 887596604; 660832157; 573725711; 608334617; 924503098; 227104883; 257764815; 1016486642; 27100021; 869430320; 37625448; 345855506; 582121499; 3219275; 743117049; 390883821; 1004301892; 545780358; 77848396; 336566743; 483670798; 984147305; 487418912; 240139201; 192603559; 758568529; 208042587; 814160702; 103322261; 261274625; 323835310; 416199203; 749341299; 574751076; 430741843; 318240849; 581635048; 221451213; 588623987; 811926612; 561836322; 633200450; 57811753; 480208250; 337742940; 25376767; 41710568; 1066001421; 470019731; 586898255; 40981026; 180051582; 340717851; 381230013; 703524907; 228238907; 98678105; 96008180; 805308672; 1053676100; 216120756; 518058480; 978216369; 152903552; 603824582; 581703550; 133284524; 808259077; 84535441; 860262940; 1006152148; 31495608; 906012869; 703515265; 992752074; 1009741540; 592688564; 222730642; 610902902; 551637097; 535058439; 892554987; 249196612; 301208033; 747732727; 1016895059; 490198371; 109186780; 117693673; 1027497573; 277901788; 265461247; 487145494; 753213704; 507230318; 170346543; 246366924; 74497647; 66108972; 800178987; 214971487; 745122140; 1006695355; 324357985; 1013884612; 546266149; 191585380; 431750617; 803220925; 669988629; 69432624; 839425603; 336634888; 295711941; 581339929; 851599688; 286695686; 982764230; 113840617; 652484599; 740095955; 703696641; 37747159; 386360224; 860094945; 750445428; 749673632; 354448956; 67760442; 452089710; 644622427; 382836091; 714326986; 16674300; 893985173; 141306060; 979966366; 396810432; 551636194; 228030874; 517339857; 637462467; 894123564; 350905626; 467819872; 401371738; 733318533; 31467334; 1065402217; 361036529; 967997986; 44981617; 864028752; 285581984; 950100217; 95270815; 104248246; 326754781; 275686464; 832100092; 201484092; 365070484; 525940189; 906546094; 42945196; 354214296; 54390880; 280829651; 317781902; 945284378; 224614103; 1018551807; 960527415; 515046441; 350678552; 36136195; 752385391; 1053949150; 243874288; 653328102; 202908991; 517336819; 391148822; 289432753; 462515605; 55815181; 980018040; 798426752; 815156166; 294051878; 809214561; 875628907; 213882713; 547809531; 148261595; 75312455; 399333765; 272022854; 339829575; 749315794; 99958001; 850128636; 476282411; 809641627; 796073517; 409733907; 518359501; 549297317; 54794361; 324703344; 517371468; 66573434; 365455055; 243326271; 335212017; 257272543; 1066773090; 266427821; 1032322730; 972332187; 847719722; 953458027; 514446288; 676987410; 973898111; 718502582; 786486072; 620103291; 360927582; 413784252; 45269604; 808170384; 407746552; 212318317; 112708293; 1022245691; 731552928; 676843456; 279313781; 989439877; 252930244; 288250613; 908134775; 227853408; 414276136; 675059009; 514604761; 85222013; 164703082; 140670440; 333946926; 302368787; 492489543; 453920307; 336879879; 892997774; 419414291; 729572814; 993544603; 419109511; 294908563; 777334812; 593319867; 540696777; 1019437685; 102938005; 638076789; 391357106; 711180014; 115632161; 928966865; 523124400; 193150530; 885672344; 965923605; 262515693; 478639640; 91091361; 36776692; 292622044; 111244534; 789399827; 227333278; 306804505; 226276407; 166516773; 249961613; 112499368; 478097587; 879090209; 917640695; 372850398; 469599639; 157442480; 345431266; 288089147; 856536314; 984400680; 17104930; 6128427; 736508073; 399644740; 1036311146; 339101663; 89767816; 1027237279; 1059629276; 69338008; 1061193263; 51720733; 811165656; 762403001; 1039987957; 852130566; 524522603; 94388423; 378504855; 1018390556; 656754937; 803595058; 565085101; 891794350; 383339570; 491203006; 670989933; 150452574; 136228061; 313246157; 786666152; 265907638; 767979723; 718478117; 522130752; 18347543; 152231795; 463878130; 713389416; 791430097; 1043024506; 966196308; 959745290; 600664157; 49946607; 533101656; 313942558; 201913448; 544754169; 131813804; 668724537; 716863553; 584124131; 1013216418; 530589707; 332623133; 302894596; 62550381; 92955138; 1067966748; 581266671; 491091686; 359565168; 824462298; 626049894; 905454222; 309399900; 751882416; 362556110; 908383570; 544226807; 120453720; 851536744; 408404335; 33648683; 685613178; 663366057; 579826797; 702455881; 165534244; 816956829; 832744563; 695393138; 208791212; 946487258; 852811574; 105411671; 269993790; 159396586; 193912799; 98705895; 110544584; 765556975; 667986314; 822590914; 591087532; 214434779; 637041391; 664017607; 572860404; 94340048; 763800107; 277150837; 1025353598; 295019953; 867369947; 64985919; 466266502; 1004816027; 901854418; 342123301; 695044018; 652398907; 824011581; 95540888; 148287158; 217804758; 674552366; 389133145; 137642551; 262906529; 493515363; 546494968; 383921154; 760084775; 330537467; 667095048; 353082651; 630747714; 402778751; 570276658; 648365359; 746257562; 1031488058; 570603936; 789893442; 260170361; 1027867489; 503587384; 580984638; 410977773; 79336783; 274755827; 637625584; 714398935; 305903708; 454374427; 506002938; 845357696; 632709495; 270037021; 173434030; 104297105; 769423692; 299814068; 984187827; 511059965; 660308730; 314543299; 828361597; 860261633; 10714863; 713828193; 1024830174; 895357351; 947730781; 801673112; 215202218; 27863883; 912269468; 23328725; 692289890; 992953686; 941620794; 504658024; 395606860; 734632152; 186045901; 556049233; 654582746; 444874732; 180947771; 463063041; 615651971; 145140172; 441075222; 607118165; 432437645; 177917724; 438041700; 781427122; 547762060; 165271797; 104838261; 649679134; 567055580; 38186950; 397374842; 558812470; 304217933; 558908809; 280683773; 1047523733; 1014531227; 111678345; 881883316; 392554267; 285451806; 138620578; 1024955276; 690045105; 589426679; 413550613; 254610011; 424022442; 353509604; 1043352670; 161770405; 1009437296; 363352407; 881775541; 654092533; 57124591; 748869838; 821916285; 190232124; 194920314; 505547972; 422506885; 724336470; 775049806; 1042973423; 923512684; 924141597; 887124965; 267779774; 40579359; 743880494; 1042658316; 520094860; 102889983; 902792477; 1062120972; 998335102; 455739441; 253212527; 843112437; 231909993; 450358481; 999332447; 365565736; 686235419; 1053400977; 310056905; 558211813; 722523975; 366573344; 523364460; 19491251; 302191080; 177434014; 1040518129; 1068889080; 184131619; 424028400; 63480523; 44141175; 16761957; 941663990; 455942420; 547716517; 866576022; 767812396; 720912944; 854754724; 836708642; 24379188; 239242906; 41299081; 390153019; 635786644; 923408331; 656472286; 726138215; 291606235; 179746252; 974368360; 947576134; 905034266; 175516155; 695001418; 132753759; 339286597; 383976915; 534059378; 201679000; 90680362; 18070701; 395883097; 448388848; 1045982901; 505110244; 1054785090; 520374491; 1003384117; 653621515; 382895367; 173513727; 78180843; 90674970; 239819319; 498495028; 640012039; 849762386; 548448998; 892234537; 577752943; 352114983; 823594304; 712190679; 1027187802; 186100900; 879813218; 383119400; 269494581; 820466597; 764711122; 847885435; 711115557; 210316293; 599925602; 1024177856; 464320282; 422978626; 677469652; 4833117; 541139255; 599948854; 781593167; 592859657; 748474381; 7274937; 455859941; 508621390; 452403212; 636665867; 822119473; 144830462; 556750598; 1006903260; 581044455; 824874282; 675812815; 167896044; 962138616; 603271369; 367179950; 739186941; 366986740; 41297912; 879562795; 803884811; 14505982; 784287907; 33819248; 405252721; 589115392; 244165447; 1048371113; 48145728; 415293066; 651662626; 160813395; 265186595; 922972009; 1036397879; 488115443; 447448751; 492319035; 282780734; 865809333; 98098728; 757442837; 53551453; 742495717; 938825903; 606932287; 694703901; 689918813; 838390393; 791119780; 137601691; 255421262; 391873121; 726085359; 208823242; 350129346; 867696769; 623875199; 378409513; 173287966; 1060585183; 102611380; 677641547; 744882199; 849358064; 798323874; 26451116; 503927997; 621751391; 861664762; 473974712; 993545561; 72328186; 710157694; 758699837; 198666072; 495095965; 496102943; 69764494; 952423099; 373881139; 231802653; 159030928; 790309190; 999990309; 419209119; 413275343; 35875200; 428443586; 163848199; 539794542; 959451710; 61904788; 980571122; 700886902; 716383553; 652547615; 1062976919; 126420064; 649419850; 572820207; 1032472468; 603923948; 399157674; 1025071344; 819719761; 234555199; 844832565; 29806768; 541240531; 455686502; 973948515; 324158413; 544507532; 26461390; 1044010956; 762098373; 672808202; 499184628; 650726832; 416427361; 534554483; 267124569; 349327599; 755955392; 139737851; 273106281; 946663873; 333308550; 820994354; 1013601789; 172239150; 796272048; 880744771; 937297547; 2126797; 42549697; 920101148; 592995199; 188413392; 523454537; 817408471; 656269612; 711346925; 1061053532; 744219984; 242949620; 859942770; 501731235; 228799118; 204438906; 766585443; 133865775; 742742550; 135119715; 683800727; 374330620; 873499044; 436643584; 284427401; 934739619; 344694866; 715552341; 563592597; 552770528; 215595956; 714022307; 787101385; 384650376; 514974607; 302157762; 188243477; 507622768; 899713056; 392794342; 136308903; 226918468; 488983719; 332631072; 51429886; 496659659; 100823915; 916445119; 728802409; 152077166; 935248910; 526549433; 717789053; 869239508; 45630848; 365920125; 806192064; 37601501; 174153441; 761305080; 288765285; 598340041; 284434868; 326934438; 488746190; 190006644; 936497223; 757996004; 1072920930; 687840888; 614358844; 752551845; 324939790; 666104519; 915084960; 594993233; 1030408362; 476894626; 1023733183; 787154057; 322190335; 137046334; 327714703; 768739084; 634704421; 897054857; 500429219; 951781821; 431297371; 92260357; 1003544330; 132966031; 126467901; 315470574; 309089868; 170474605; 180483414; 352197967; 281792290; 256084427; 866552218; 125267846; 478193552; 55110350; 139313868; 135300611; 16730118; 388581879; 908252756; 857639520; 501292773; 636380860; 102827775; 104254854; 105543481; 484355656; 445841842; 480278858; 844278393; 443917284; 1059996784; 623237329; 699389012; 564690701; 958652157; 206080915; 538276392; 738521455; 223660455; 834165022; 62623533; 264277079; 815876650; 573330484; 809250535; 300205502; 1006020465; 147748519; 119214860; 938208959; 84087548; 443294201; 1056878470; 100982425; 867291449; 693456083; 670802593; 677693081; 286317523; 202518204; 37903543; 545854993; 102005212; 618384513; 908718799; 614287499; 922857585; 753374802; 1036924878; 784315673; 555410466; 285609796; 807075616; 319031367; 568687747; 107229801; 744243313; 484275963; 461099262; 625503175; 179412334; 948623860; 178581235; 740138477; 106459660; 534960981; 996748015; 888607125; 13211612; 400549069; 508268210; 104011026; 1065529403; 755358427; 67175381; 623538527; 933662902; 769303806; 464595868; 561286376; 656662530; 745310111; 666300387; 996207632; 744812855; 1058257945; 363212367; 1064024512; 10631812; 18550745; 518240814; 259664025; 461031255; 608644211; 650620626; 293909677; 386641803; 417861758; 82852109; 254838125; 50351029; 538448670; 261882083; 115487515; 948895668; 752028146; 408304158; 156636104; 116786666; 30103855; 361179020; 850702707; 684957710; 943007535; 957802730; 885710817; 168913835; 417743699; 300265240; 564486171; 716561989; 888607424; 1039051747; 924731356; 727200588; 20375972; 586992509; 281070806; 702218268; 831287408; 989949495; 410180037; 63516094; 706914320; 139270556; 862606921; 874524904; 26454007; 546147718; 728343110; 242278588; 381222084; 588950826; 661139227; 1012278670; 1021605008; 501293656; 971176226; 86143121; 985526328; 953059789; 408369264; 391197769; 313416339; 558672571; 231497392; 524589487; 10993876; 623859773; 125814588; 45339902; 768112651; 979428076; 120201478; 862857950; 125204907; 820979188; 425826930; 331675686; 425284281; 528158442; 762467775; 336480638; 641277389; 874570130; 963767763; 445091427; 130832778; 178776736; 1003424367; 1004781980; 944444048; 826916785; 240521474; 153826002; 539643711; 415698257; 851297188; 755360970; 948613748; 57830235; 638671934; 657599522; 523172465; 1012888007; 84872378; 85394144; 371445773; 988196069; 632250192; 549926948; 899772564; 1003808604; 76306209; 341307242; 58946564; 871908225; 815755559; 648227515; 137055312; 927835706; 861942702; 942378002; 61276189; 59470279; 650237210; 233112051; 1041226463; 936358526; 974841607; 178825991; 150884252; 528666416; 245115655; 627003423; 612138834; 413605188; 102487920; 1022066075; 827632940; 30379219; 159954285; 773857425; 72682427; 591723761; 145072087; 750451958; 963659049; 939024377; 498447041; 876787950; 143977456; 788452166; 655859422; 396735694; 871518386; 237778371; 297546477; 679930791; 847006148; 1047212433; 619592506; 66078360; 935794691; 309332347; 83294854; 814271537; 97359423; 312394360; 533014897; 228312468; 206934566; 365392195; 67820844; 234779140; 802835499; 695295093; 660508981; 946926583; 669567115; 644019671; 82243053; 936799294; 150503220; 755324123; 79380950; 29582541; 309163336; 246366134; 856283567; 376215284; 896813130; 951328475; 495161784; 474103466; 148210261; 920675378; 906592952; 816970881; 82283060; 692283374; 288241113; 241131328; 702496549; 455671331; 623175077; 618907607; 355840643; 622898801; 1057448138; 307377860; 578397370; 16536944; 663149317; 372651515; 677976924; 909145738; 760524190; 387498630; 264007879; 225526902; 678823031; 778472059; 597373113; 494639789; 228665541; 162016104; 643240184; 125005562; 12813646; 646652666; 1004915507; 452875413; 553118773; 9961348; 327833868; 354373830; 398468028; 220026911; 416105625; 663080513; 687163160; 639189157; 610964962; 450977842; 133915636; 985377704; 856900067; 697413456; 714967786; 973510853; 922423064; 1046467237; 1030135913; 257027351; 195472890; 219780224; 629101929; 210481962; 821078704; 50806163; 506878528; 357609877; 1066129585; 1028142930; 162939142; 970620669; 1041808053; 648822623; 7946956; 451156706; 351536908; 512578308; 880457949; 289899380; 971511228; 855440817; 1024726341; 86366916; 894751037; 586057287; 61432466; 165477114; 535922314; 416067907; 970345703; 856116253; 1042206780; 804067776; 730385419; 1021562216; 532168067; 867346428; 307803507; 1016872594; 903460338; 460090181; 91531995; 11981124; 584481718; 2984282; 472458401; 536871660; 280614030; 51651284; 252759876; 191710638; 375433386; 435440781; 896013879; 200983647; 738259621; 258569708; 771477145; 272607962; 386961102; 501954304; 814149961; 557058866; 587374705; 515836660; 290962121; 89261924; 223454782; 397045262; 1017510267; 32077973; 333991245; 577780219; 841809491; 430418354; 697580197; 722272371; 4438892; 785357497; 266777760; 89993428; 942076525; 969902711; 833558239; 586581672; 759517921; 12790128; 769807773; 822264993; 154960317; 137681847; 798328689; 244706072; 186512658; 794678160; 522457088; 181275995; 736016169; 437365259; 366143074; 690505976; 349915395; 481969157; 784349429; 783378983; 450082416; 358613983; 177648275; 728727411; 818272754; 454085062; 671671093; 723682924; 400298850; 740744482; 630055995; 369869535; 842456151; 438733693; 614757131; 995818048; 356514067; 902149952; 464093074; 601953852; 735361455; 135732227; 121261895; 328373757; 548440627; 1001006906; 672973005; 700615217; 301847382; 152035534; 470056982; 535622410; 311472492; 491733775; 951691530; 219913145; 421263586; 492135088; 317206761; 370017751; 125868516; 649825213; 962207266; 275439123; 435450835; 710542466; 798463963; 486541798; 400289620; 925304867; 801316192; 669621752; 259083285; 205962136; 745699016; 815534330; 385176552; 1016224318; 368805687; 717118144; 105152408; 597891071; 562066515; 420814145; 939674734; 708880358; 118609197; 748753053; 13284960; 648732664; 748216039; 550024126; 736154004; 538561969; 888679740; 594800753; 897514238; 521986642; 533309472; 867834411; 147255603; 762193873; 645978102; 911754824; 461519775; 739280621; 209898663; 453091453; 772486364; 330285568; 756043550; 249438459; 391472543; 720141107; 889022208; 615723658; 1009700562; 284107816; 697373844; 1047194545; 927887710; 794591886; 679972015; 993918535; 622736688; 118984724; 57825420; 948785989; 172700498; 764852609; 840421044; 310367687; 621721524; 593453103; 306879558; 156787609; 173031465; 101477351; 851891125; 298375250; 60256174; 837832804; 531607739; 976069970; 395605097; 767247459; 280846209; 634779691; 280865234; 414380080; 772600636; 306214428; 1011437819; 505197313; 474258787; 734615571; 542998872; 730882967; 819183750; 1006307523; 158822633; 1012201335; 752757490; 96848954; 382012820; 993109717; 560470125; 1054735687; 161563368; 18535321; 310416727; 96739310; 369061104; 836859928; 583714005; 867573261; 939054660; 233106151; 678376200; 94715495; 833920855; 998807581; 61200527; 873105089; 402067639; 230703149; 717711390; 404724271; 122530361; 1013487348; 204350356; 613252005; 765732692; 161954549; 756631662; 502864376; 690051581; 446877183; 976082819; 1050225397; 338155773; 984453191; 852419831; 604921532; 317802484; 647052416; 567375637; 807096667; 641589521; 383190546; 1024741493; 601930619; 962646461; 591392002; 31504354; 656104290; 776422446; 467721705; 288155279; 319308733; 231572814; 1053450973; 992002384; 853473276; 390846003; 598352751; 83738147; 310141502; 135326432; 78899865; 105977026; 529329949; 396709600; 1031623683; 1067048136; 318902209; 903593737; 610236312; 403651036; 657167308; 255793414; 773262902; 959221033; 51234448; 406150872; 278283024; 296432662; 782635304; 501301964; 724418884; 150068836; 639139610; 666978560; 901055115; 325830657; 590765679; 722234546; 667951053; 788571462; 36778742; 501020189; 614393896; 577957740; 954804605; 458913318; 324770468; 1039639682; 817840525; 705550313; 747122018; 597831; 665080788; 830492585; 820908567; 423229979; 33499688; 524304121; 338115400; 129568551; 853616780; 192787707; 519608878; 1028021157; 905253019; 587649366; 1039773070; 47761155; 1056076138; 569190392; 255757986; 666088946; 799699122; 298230120; 844036162; 393648209; 101545067; 613308367; 70416760; 345311996; 931334638; 539092451; 676945174; 487518614; 902855994; 167960569; 746271330; 180532810; 428332120; 581661388; 928472159; 750947834; 698479785; 427910980; 621283599; 752069163; 882418193; 368518799; 33036274; 993448536; 655012998; 88645867; 574817586; 598998868; 137694805; 873081265; 1010751922; 158565009; 138940353; 420969072; 912828749; 552592365; 435756099; 910736887; 891679965; 653094453; 1013783476; 296925823; 888689294; 831954730; 416721619; 926872974; 897793119; 626796562; 726694705; 519458902; 177182993; 928186075; 492489489; 914820997; 171187848; 294839536; 490268659; 549685002; 321802625; 837777398; 1033539478; 586103926; 95887358; 804700735; 216294430; 1047939251; 459551196; 923602952; 123100486; 282705918; 1014566168; 435933339; 486988108; 695391679; 584740080; 448730137; 391864993; 301574828; 377150558; 471373023; 473468905; 295271409; 982841867; 622102667; 632118073; 79471528; 1004057060; 35004159; 330968693; 424360618; 455657023; 927233730; 208400932; 974084587; 336008192; 563577199; 745989104; 96758616; 39757563; 3276232; 779828057; 183183631; 910783922; 950235374; 611915526; 30731850; 677553780; 849973219; 337507390; 830874938; 664914091; 331776785; 909403077; 379018640; 35073035; 177538008; 698068131; 924230029; 128304104; 192863774; 936802784; 598888284; 370997373; 482874588; 225551537; 382897852; 25873619; 165213700; 215272104; 1035065124; 546268807; 89887538; 164120296; 89422643; 855688820; 675543188; 417598492; 814891469; 322691610; 979714130; 244359178; 1059403477; 504343645; 1032963896; 234548213; 430134677; 689247430; 110228930; 1054132421; 976438205; 942784770; 326310912; 262396140; 321231362; 202339853; 893995376; 569791299; 174980435; 422887292; 408612562; 182997826; 31000860; 244920378; 520756218; 197589231; 638492714; 986269677; 775602817; 986164308; 797776748; 137576390; 703226675; 431684304; 68188082; 400354005; 442891756; 853522169; 693172709; 333700373; 588319124; 469923897; 708623608; 467572273; 70480099; 754832411; 675415502; 26092354; 447555945; 203760320; 498306044; 204853839; 538163984; 452385384; 382176278; 3428184; 927965048; 327336817; 803450708; 955963335; 340302655; 896207584; 151059596; 890548974; 304867235; 334713978; 858374493; 707588300; 411175116; 626624935; 422612743; 258520053; 863957349; 248958373; 610484258; 872414768; 755681302; 949960394; 374357168; 592739791; 425968594; 646747904; 477878178; 840998223; 1019806835; 947475359; 1060560489; 652972777; 449478219; 154277778; 777385186; 1000626144; 300668993; 931044666; 954237686; 315714001; 742586942; 840780574; 595448058; 392515593; 70134996; 927869897; 892165539; 924206083; 1060753934; 680768450; 508858576; 751348040; 1024239355; 461533870; 475655337; 975916257; 415174454; 363907312; 1041534931; 568605433; 114971777; 316273049; 228279476; 1015325313; 565804834; 244117651; 11861333; 664881186; 797943288; 374556869; 733043782; 492890801; 698172318; 1032598733; 1010222566; 211008472; 39002194; 895484919; 20229070; 246676905; 340886629; 912754583; 854377791; 687370731; 688775981; 165831150; 265197893; 231257544; 686216714; 385764416; 88708802; 47370100; 670465231; 996875882; 642901129; 906832067; 823275491; 307014175; 857168957; 867950876; 490180499; 343944765; 7256395; 1058488039; 105265583; 828566664; 127495009; 409428704; 813173943; 866773364; 828642973; 431617615; 116096052; 517435945; 21422459; 912271916; 283750822; 987582288; 718166810; 437641921; 829676127; 545185399; 244737029; 381877819; 575907815; 961539472; 104071544; 577780269; 753213008; 109911276; 408197346; 252316979; 462006619; 865356683; 800343387; 997403453; 527594839; 403176515; 115054004; 368525307; 462952706; 613323082; 107755830; 397134581; 930477652; 1035104993; 579770171; 195414895; 56047318; 366038841; 652900931; 324880169; 613180333; 501094376; 782805721; 808840757; 1047392739; 931826952; 62120289; 475673144; 921240483; 847229797; 941319237; 485404472; 489075444; 978483642; 935938019; 149371498; 541948108; 799494850; 910985466; 933759993; 110232819; 87565792; 574254540; 751837959; 437254384; 850562026; 89646163; 455339543; 744524523; 211324583; 982728577; 619111344; 1014176036; 151464272; 26518375; 1027867314; 537100829; 599709886; 313033306; 41002269; 845437019; 892386683; 60611980; 978987742; 973900282; 193488475; 102744418; 229408016; 776519396; 334282556; 994022331; 257064903; 71985045; 338341691; 312136833; 416915363; 882030766; 584116035; 134258156; 764447972; 343336750; 727658713; 663991692; 787010289; 606801561; 611186640; 795308456; 1018284648; 187132993; 234439306; 795776233; 244935344; 652982104; 979174727; 904009689; 107462999; 992897018; 746238470; 814027151; 784607265; 231019064; 605468016; 202532472; 219448447; 752174177; 713426128; 823782697; 446925700; 200485339; 346258006; 831274705; 496365120; 439888098; 731274726; 443873538; 7602711; 436015586; 547649927; 327900286; 767775464; 567179621; 7633224; 388822293; 716822805; 149520737; 579495864; 660218391; 83782851; 484431949; 348847687; 472172080; 357156189; 304567284; 387919643; 609522639; 582973246; 818790136; 553869981; 585438736; 594762470; 13786444; 339855660; 206439091; 461541493; 842065157; 33360973; 373995123; 755788397; 976790825; 88203148; 847282768; 649339927; 763420493; 102556785; 992782488; 93209276; 381603414; 512059720; 686199047; 128568013; 970949383; 312883708; 783737441; 815067625; 330884713; 980226027; 814746723; 157935860; 140682637; 798639625; 841120139; 978208353; 193947431; 906824880; 815555871; 682496453; 99862446; 603972386; 792019595; 687351044; 1068427427; 492648393; 797200567; 614891993; 1031697555; 82902866; 959208886; 265075632; 1037224103; 1010065612; 110672611; 82251137; 884717736; 334422821; 829725598; 219459869; 474848402; 732182339; 184236813; 1047365317; 984260970; 642827343; 314866538; 625302902; 494477601; 590224867; 717130897; 187707725; 59384775; 410282037; 937700203; 138840942; 178352190; 609836902; 43289737; 773773959; 49800251; 600330431; 40879535; 946886866; 427269302; 720544738; 445166256; 298661453; 715844857; 169038862; 335275063; 984666374; 40855427; 755242945; 900817944; 1060248994; 1039080971; 721771682; 335157092; 16925673; 622953524; 148065105; 743117551; 413869632; 494192286; 743783807; 13249254; 109827098; 23532585; 931553004; 268789394; 959193672; 366724229; 952513645; 690538590; 721026785; 971301156; 1048704701; 720678085; 405190204; 864579433; 180662091; 988668062; 314979957; 623328552; 275941873; 220750844; 169745649; 878611269; 138243305; 499679083; 142676473; 51604056; 249989878; 688202006; 539998603; 455575570; 230699259; 148925536; 32425314; 213445396; 1051378686; 99420626; 138409680; 110765435; 806825546; 111737421; 15613587; 201270005; 475003641; 30956594; 239631387; 527740898; 1053964769; 807491206; 477847904; 289108731; 643864396; 1057077242; 430027311; 851042441; 232387339; 896021698; 177448445; 490585083; 635916212; 93092271; 607206238; 325785826; 169123589; 90017608; 610703191; 210568990; 34688913; 870445068; 688511766; 236988740; 563592717; 518507977; 945430164; 383246721; 928978289; 715521910; 478941576; 609062797; 899744478; 631599388; 1039377944; 399409003; 241523843; 158213192; 877480098; 267749765; 844405413; 697405564; 816050919; 982742347; 94149241; 1067726220; 989082630; 560268104; 503730326; 50083107; 153852247; 627837982; 33326447; 199823777; 694166439; 149024488; 478153694; 915448223; 818522223; 934173754; 134181618; 46046389; 90912936; 400964108; 320384553; 685639750; 565917512; 16157141; 190782128; 180286231; 834747604; 293936969; 372020371; 723638296; 735293320; 742147192; 52939693; 112249843; 814387703; 1040677680; 973563030; 952795412; 210566470; 800984530; 117407700; 1014756121; 882692256; 1063449315; 55565985; 1027755800; 654140166; 1020635989; 1005314068; 397656027; 431496032; 803666885; 43792376; 734222736; 712847933; 118692986; 285788285; 367227714; 896793967; 598911711; 398226170; 415968272; 622339698; 404676809; 791456584; 916128911; 253403549; 81902720; 1070779604; 56326622; 303276760; 936918911; 3899874; 1015691378; 158753872; 7602416; 774165872; 464257884; 851129427; 886064302; 844888426; 946055185; 466434145; 737403580; 117941144; 368849572; 96698036; 611326017; 622891698; 454514902; 485225551; 782918121; 630863485; 198248558; 470090434; 667414054; 108634237; 646123391; 318789369; 353905644; 632366220; 800604319; 148331905; 100292349; 529914658; 679184288; 384139096; 1070248512; 606718034; 959345929; 918157285; 505544252; 796009260; 25802084; 920511095; 466580451; 65401320; 338440482; 674854205; 264321740; 915114134; 841352752; 543584379; 191521194; 576160017; 649837416; 912829395; 147612182; 113489971; 792012044; 289970749; 943993300; 672805739; 669630952; 118923002; 997756263; 845405176; 479528129; 424882236; 443420847; 276958286; 556756536; 1022878873; 755363100; 220983021; 745614132; 939506655; 952197020; 685063986; 882679814; 652869245; 814199850; 923548590; 334078939; 827461857; 832721137; 527560592; 523627315; 407025504; 636872740; 828508522; 510330320; 621150853; 885894507; 172910255; 679210268; 17925117; 1038179172; 174833377; 269240754; 732399466; 640252497; 950897512; 986783430; 309619819; 567142962; 833968138; 537637450; 321813900; 480944659; 862780699; 772294302; 88479288; 1058985670; 886735139; 798890570; 6293124; 339330898; 246938108; 244675079; 726796352; 1059263973; 943605754; 208579838; 1000321254; 621676540; 345243309; 67710026; 1039839472; 746873059; 683044912; 505434462; 505628914; 933866765; 109274506; 437895573; 74586693; 864796363; 468500501; 147238950; 308289904; 250096787; 999027068; 639062510; 812494455; 730295687; 90941568; 574300079; 53537644; 728820573; 356275095; 660829138; 969657417; 811241562; 509771970; 50628305; 209199452; 970050895; 38783172; 1070304388; 295793448; 672280016; 394220443; 546713733; 818168396; 562183190; 96501257; 528685610; 1007763911; 1071324693; 835617457; 770540286; 160917559; 1025527992; 392593014; 979269596; 972588887; 807967467; 578398534; 1008254170; 85575533; 637868033; 26307141; 608464821; 1003042500; 613722520; 383916083; 814101629; 1016445801; 427982453; 155600873; 400961106; 85275363; 421493044; 1008994193; 463138829; 684128779; 1037384910; 693587779; 35159010; 886784852; 235956856; 571589824; 854247445; 346501244; 880636863; 334060924; 711771000; 922957543; 987861449; 486743514; 208109323; 743414694; 152506611; 375629855; 159754931; 925254; 861451453; 187579016; 652482430; 98276126; 823518476; 388795090; 563947983; 949878727; 499609485; 837043584; 193763467; 219978899; 119823609; 808654424; 78960164; 719133592; 713284874; 998003820; 520680325; 1016826959; 159482834; 904232764; 332199633; 222267755; 345226879; 859527026; 540749264; 382788345; 626912834; 450927173; 619059758; 79221542; 816769154; 118945641; 675121645; 579947291; 63220399; 367688223; 1062154916; 864947856; 888092286; 238719217; 812757525; 685663188; 258454010; 1072768154; 509648841; 77075520; 353933674; 111312357; 230684447; 225632928; 749420035; 15738550; 929695929; 354659527; 241974929; 399729613; 916275547; 498938452; 632037948; 555315409; 496745052; 564678705; 577494864; 372108415; 791738085; 624258195; 983230043; 818460269; 320244076; 119615809; 356600886; 53876206; 646906216; 797594047; 459070602; 764070592; 832961273; 917454030; 401210420; 828554844; 134506766; 870670907; 1060147481; 643872538; 1051056941; 517586782; 569102737; 279005870; 183633419; 247053410; 40764641; 1048758955; 898285058; 1003308320; 1068492400; 836525751; 742047818; 157860278; 517761116; 316003498; 657086283; 287629113; 487455782; 69377413; 367711989; 744192921; 653358292; 121808624; 153490140; 133399928; 373597551; 447474506; 653176422; 639492846; 304362191; 732563737; 353613208; 772585021; 534783139; 118203698; 665310657; 764241409; 461847166; 506055764; 636398918; 433192613; 980894412; 478659475; 229653627; 840890435; 641824640; 640957199; 357214023; 672427850; 486012205; 108945479; 1064164575; 653060805; 699551454; 325117457; 441287977; 382747583; 71750534; 1031592528; 159234133; 964471064; 893964587; 40119044; 624055058; 475593832; 386890419; 242483096; 820563491; 376808601; 552205582; 674501237; 567420753; 111024438; 719627010; 850128474; 690885779; 1046205132; 199625818; 544437429; 877467428; 608814841; 606092868; 677808412; 421526179; 822694596; 76531722; 708292192; 217414748; 1007037191; 703969615; 960196896; 419243254; 26338042; 470080970; 283942306; 44095346; 360682577; 14384291; 271046855; 581428520; 650799137; 256965750; 105443991; 544030518; 589099201; 626200586; 887194621; 336732746; 71508476; 93725272; 810863029; 61439741; 21414557; 47609492; 493618896; 18534010; 546546026; 533283273; 256242576; 720163787; 1071665081; 352339287; 816724741; 148442071; 195152925; 815627695; 343172171; 950073223; 684629213; 829267573; 551103494; 458357716; 1049695214; 811730905; 877922735; 648457048; 812061050; 296289987; 561241160; 659130536; 44814873; 674311411; 614788258; 37617949; 1006751301; 779443492; 49774535; 175537950; 929982436; 163798086; 724774991; 707900161; 425774797; 596767295; 1046948510; 23368759; 363854843; 1028258149; 1012261592; 129078443; 35059546; 90832022; 568879137; 722838731; 689479547; 237757287; 93114526; 1032993928; 437238840; 100615709; 960003241; 617357276; 621893111; 823021444; 891489290; 440134693; 891993733; 574923845; 25564073; 66454637; 899848770; 198924404; 742459616; 342246646; 143804826; 1062661583; 100616421; 40161332; 772476984; 207166881; 38672353; 385942392; 105747530; 962121904; 834597094; 511543357; 681828306; 486848180; 323631920; 525664132; 607053265; 778392075; 275370731; 1052215507; 590995417; 859467532; 382956844; 209702331; 459715136; 460679691; 695188844; 499835501; 342539257; 829432861; 120078715; 635514441; 942220501; 599464820; 510885929; 572445508; 88678123; 159233792; 475698704; 364943278; 21692401; 284248255; 1007031956; 499528595; 95158451; 1003162490; 215286465; 68878139; 694159022; 45419333; 2685007; 433483466; 311045713; 163792385; 1030143216; 225815774; 1067947792; 190476519; 830079995; 1012675714; 81137547; 385485903; 859698154; 525878994; 1042138331; 607207950; 658969528; 211323829; 797815712; 621950350; 641284287; 672503701; 3805268; 573997311; 365387775; 898513962; 91433400; 351686547; 660913751; 1032761467; 645562899; 171264440; 40003077; 241097557; 691404057; 312138451; 155209498; 902834194; 203509498; 124078777; 524671244; 664226676; 876562252; 544302221; 1013776889; 927912385; 481711272; 341942152; 43139740; 112294993; 146957964; 696921738; 760766786; 717408637; 535160349; 875495438; 434720006; 587647716; 216408091; 329381230; 106054234; 143004054; 418168502; 30662800; 1064571715; 610752706; 1034809968; 446559190; 140228334; 630040047; 673793894; 700393403; 553197454; 825695448; 839267755; 539290119; 801263091; 609898531; 906203910; 310340932; 612314516; 292004917; 745658633; 697686640; 566324597; 161528851; 599859807; 163302047; 537315543; 609204928; 873542200; 191248706; 230911852; 323709888; 412191739; 199268419; 801943199; 611193066; 303349952; 11631857; 554866860; 1032395965; 891469092; 813672934; 459444183; 573134223; 616432559; 922531390; 799008911; 318413496; 816620229; 1063031410; 445903200; 1061110871; 1031733814; 826301570; 99704924; 428732361; 683145345; 133098; 307496929; 503803407; 428152713; 454121107; 363181833; 347428107; 743719693; 396339406; 25159041; 1024502847; 181939768; 1052090555; 71380715; 685582855; 302103909; 883571535; 702390079; 208847721; 203256064; 633973028; 764707161; 1064332859; 486673803; 1019445841; 691442678; 1072147588; 1031096413; 564084647; 931908499; 946893896; 379845734; 16349619; 1051461797; 960659695; 821542018; 990271610; 564153281; 257355642; 179652603; 419844267; 489172712; 531159129; 740852655; 93415880; 521267949; 553128413; 387188963; 917106289; 22425425; 489869891; 1035038127; 483002844; 782200168; 154234613; 539871584; 77892549; 140761701; 36525756; 428381266; 292866033; 308849460; 122374949; 518387320; 299867628; 493435392; 305864237; 501436416; 846844474; 283927552; 370861633; 330264300; 612780026; 60420333; 145124600; 112994134; 845848027; 418734085; 391999946; 295975793; 305839074; 902554184; 759802280; 745962306; 950504889; 1073645121; 684793622; 1038396122; 961254090; 34373542; 521148110; 305988237; 644529511; 696373878; 460558008; 196230693; 623447069; 165030489; 354366324; 343833929; 251753978; 2937639; 70275118; 137977125; 830812986; 64076651; 673902414; 354012733; 884947644; 348584633; 1029285905; 988368539; 739265458; 440360122; 963146668; 1040119287; 937631105; 604668005; 188857786; 141883668; 534349121; 599170379; 520703159; 722579888; 610211526; 1051397209; 223401036; 997164487; 764341127; 603813304; 752389214; 228790135; 967699685; 595864606; 667484854; 430180263; 772963177; 63266014; 243372879; 807282949; 359902554; 849784607; 145080424; 529772737; 436505955; 244775749; 546482669; 105915396; 362799757; 956964688; 591761955; 708716411; 1070557974; 1071386706; 1045355573; 653153285; 86999306; 176661335; 1040692335; 399168180; 55707985; 22268230; 136868565; 242510617; 863828519; 1032305450; 118709043; 796895280; 1010264453; 136994097; 498809382; 688483690; 789914734; 192823919; 309986985; 810737356; 867190758; 1070734417; 681154117; 23870182; 437694074; 192285407; 1027612094; 282035444; 205172240; 1036800805; 114100336; 478043016; 10443001; 195623792; 433157032; 689897224; 905282459; 410438070; 30542261; 59240537; 980598151; 401006429; 593077132; 875571921; 332462755; 472659025; 472089952; 220904266; 112636273; 151936624; 466477116; 606034141; 694452951; 1062301071; 570218496; 785356619; 913342915; 219393556; 21256226; 274322590; 748301008; 919702378; 77513624; 929911665; 1070659914; 49265162; 131222366; 125807895; 1019306055; 616044457; 124630464; 681451299; 729829208; 55644660; 613997293; 127006241; 890930657; 658748524; 963460488; 81563069; 509364818; 593719494; 245034512; 516148729; 492671256; 102921035; 410293040; 339971403; 330980264; 657996208; 651969289; 500166580; 706550049; 676189272; 814945877; 642409943; 462258268; 273644345; 980369228; 264947121; 521721624; 529560495; 795330966; 374108179; 17829209; 1067913108; 689463496; 316037927; 1043632007; 802277890; 482510467; 946282190; 1050674745; 214536940; 256869521; 662355172; 491168998; 638710370; 920951920; 653337439; 54153776; 556923293; 427896235; 238900267; 794525298; 1034618996; 103733644; 359094963; 882993924; 266027676; 996409273; 539106785; 1013172627; 609193924; 822693901; 515960344; 226288074; 55856979; 173686567; 679602119; 686832120; 293421815; 726645218; 829721283; 69240294; 264996723; 451651101; 427393356; 671737021; 426597322; 959749528; 931353114; 997562830; 578449898; 1057104248; 275018071; 477232649; 324870785; 98552768; 35894048; 38530014; 453798855; 355799223; 583868513; 1068108803; 391036080; 645241978; 172470309; 818248298; 1056176989; 118456486; 175637560; 974287010; 626873987; 139252978; 186727099; 195754126; 679308438; 198022704; 343418830; 1064424928; 724456511; 1019769279; 736342639; 81214171; 146643869; 852880456; 495803392; 541669768; 1047147084; 835280574; 130301429; 747412057; 792925854; 918890754; 724599719; 603388582; 272706859; 724737522; 432616370; 178786757; 984865497; 1017918281; 131024311; 373762157; 581720328; 55511242; 919802276; 142255875; 854220136; 233964587; 644923941; 206945489; 459479636; 371924570; 618123890; 255625996; 732996600; 10979198; 846663603; 392346897; 1004895872; 281817822; 864134937; 415575259; 120368165; 766218735; 748640856; 48915328; 532050125; 1041961944; 256708668; 78697644; 249402222; 197885061; 246882395; 731311324; 282323006; 1036304900; 359940713; 224979719; 121668873; 928767045; 673014820; 513779071; 842519026; 335613404; 872195837; 46990862; 886636112; 64471975; 638461493; 756053890; 938494178; 680102563; 903096762; 118337149; 6304205; 531955643; 1058159480; 534494609; 44406104; 1044191547; 725593372; 934796099; 228054071; 208919164; 1033431820; 901340330; 606832929; 974992492; 819098414; 322375433; 587096823; 728370133; 711991941; 1072118877; 1064947206; 826289988; 842807439; 190960285; 290627796; 956647167; 919028028; 754268924; 975198586; 621960967; 1057219390; 836452368; 253644756; 623817797; 234666724; 684453722; 197980954; 355238660; 161056174; 261288176; 1036161375; 810135516; 431778023; 425568751; 596289256; 590282870; 381094872; 864870298; 376162573; 971797755; 568248780; 691270220; 778537459; 82263046; 797484011; 284272801; 87576020; 212737774; 405168691; 708546029; 95577733; 296080805; 296327948; 363571720; 516231319; 221572315; 105586139; 484686605; 364693791; 518618294; 614449796; 399095444; 917360417; 288402164; 581928370; 882918978; 943882308; 693668963; 546495023; 244300529; 362035995; 407684829; 198326076; 757935725; 61471098; 750354887; 825175895; 790696299; 742596665; 188682555; 193414080; 380161056; 445245837; 36686204; 529899073; 246619559; 744908844; 1028545196; 948828132; 24120033; 372791395; 943032393; 79458837; 676690434; 20647972; 26003166; 416339669; 793196506; 305959599; 1042223852; 65090540; 199873171; 637182223; 39362326; 380152332; 755755937; 751206331; 417111250; 351555190; 100573873; 546536767; 514800711; 612791879; 192218971; 712371198; 785958830; 1072484945; 5220184; 658428238; 990079420; 1011944746; 542236038; 264593082; 276952035; 559315979; 899002960; 458397280; 1043956505; 85471271; 1043881995; 126402176; 550407324; 739069356; 746785046; 366925737; 5455796; 481450998; 220676633; 391214463; 380057980; 566286781; 11098720; 152939081; 823884732; 757945864; 834249687; 239186505; 472165347; 608487783; 751405069; 151211042; 64187783; 680624146; 171896621; 799050013; 94736053; 82832334; 98280519; 62326078; 490327996; 701381615; 1022133300; 1020182510; 243832440; 33445255; 165431002; 496096640; 1006877955; 97764309; 297792309; 693500071; 250359953; 210192145; 577855806; 609255844; 949974958; 914191001; 661475533; 395048683; 793905924; 782593348; 907410575; 512044327; 851937231; 201183382; 209818235; 996188184; 551214054; 861745635; 962961517; 490517135; 70626665; 967399776; 534542101; 567886007; 514186369; 255365638; 443895181; 842709904; 850322941; 575636292; 24156727; 432791419; 902949789; 742547437; 241623602; 880331255; 474475746; 697584249; 49274675; 32646077; 981156237; 182261692; 598376278; 903146336; 126131874; 948990170; 829072487; 369330048; 411432233; 755753916; 130324809; 838402361; 1019614772; 308547872; 235184226; 75134513; 685268277; 575775474; 208412333; 845756744; 1049715883; 860689690; 322813015; 825164525; 753914893; 775129132; 1011425134; 873983447; 868204867; 883661616; 157343309; 690007067; 528802192; 434336926; 763537220; 433401525; 236979950; 858082424; 991364789; 859236118; 788756934; 228398136; 172062473; 209624181; 1019882272; 537790520; 576309852; 224712978; 393934848; 709670731; 231814568; 572129462; 710418644; 524465592; 220003080; 921522217; 844182555; 210941193; 615403651; 524225809; 534473441; 181591619; 514220574; 93635542; 144391797; 904670853; 77016785; 673514708; 975260477; 1062685673; 12121455; 193062342; 1037967860; 994869634; 211210784; 648975024; 784820620; 991509545; 532966128; 879313955; 113868370; 857788507; 158047378; 554123227; 136087579; 610494980; 142869607; 462479074; 448015501; 329666593; 855770003; 880991463; 143525912; 927566809; 277271790; 68919032; 35417318; 263427594; 614954528; 764874833; 103759034; 103129256; 415473390; 419071888; 376372159; 135896759; 285146671; 566016361; 590757346; 311738070; 517975574; 228243420; 993002902; 237878982; 1056903114; 927362261; 877038205; 880068904; 331186714; 422256853; 445353483; 468458527; 456931485; 226546238; 949820263; 535350636; 285844376; 187568434; 71946568; 540708666; 175632016; 1067259029; 1026032819; 574023754; 996642517; 698156865; 586575435; 301422051; 1046837266; 798621571; 52269087; 499069443; 295838611; 777877320; 395885896; 964998568; 649827493; 754012575; 681103046; 104535185; 798565321; 187075317; 83145658; 507496141; 405290839; 460079183; 424424012; 14089921; 86886262; 160228702; 635614946; 761257951; 59734745; 88791682; 940271924; 81837008; 472939201; 35103499; 862417178; 27349003; 252507597; 420614175; 576951704; 50826312; 355093388; 62477544; 449927499; 779437463; 247357084; 557742644; 161564672; 702548362; 1049049781; 683564283; 630073440; 747025436; 479249679; 640824311; 219388232; 6319357; 83911325; 541354222; 567453007; 387040665; 603057802; 396689442; 950690954; 274391727; 522777628; 540716699; 140376066; 804595395; 24070507; 507408399; 197698441; 591588381; 615828284; 916989108; 196619689; 291924987; 942170836; 869496971; 626332909; 453366390; 771559909; 908866060; 643415067; 365839141; 457519271; 911641009; 606306025; 471828612; 67787138; 338377921; 385591444; 477195117; 160787749; 254746844; 349914221; 1058913815; 560866200; 505532936; 475415297; 48725522; 160569912; 482873953; 728566732; 176878912; 407822709; 658086791; 555097910; 466622683; 838581239; 387394714; 809941016; 984539441; 1205494; 229600334; 83340333; 369781761; 513956408; 19589303; 588888102; 796195817; 205022121; 343347136; 998234247] 45252) + +let test9 _ = assert_equal 1073741823 (minOrAfterOperations [241273315; 1001151194; 1020274203; 113268625; 706746712; 664633219; 269870292; 283576396; 418383327; 930150216; 905375709; 791741662; 344482765; 682332841; 857797174; 707796034; 788295607; 100433007; 1439402; 630636161; 458652585; 654010977; 556033335; 853246489; 473878449; 169562720; 120638866; 1072139896; 205791626; 109581020; 612100373; 622267518; 670956491; 430521892; 881723574; 155488766; 931078318; 160229591; 476832730; 861228702; 825729015; 695542265; 621984502; 82152790; 705721334; 894498340; 1073640706; 834525609; 959389630; 913069962; 575364203; 898714081; 80843450; 377475832; 332784655; 534498821; 421949145; 1026229430; 324549391; 1071775346; 676180749; 537458961; 342859872; 762409380; 242194128; 492732363; 1070863927; 110329033; 644427965; 86036770; 881591247; 996746816; 252470675; 618268422; 63266025; 330121592; 537452118; 982763878; 382838112; 69311505; 525973357; 590734121; 349087079; 355922676; 89095665; 1072693008; 981260704; 388030128; 449684941; 973778384; 831796321; 135087800; 143709783; 31751971; 893244269; 103866179; 279257985; 528585843; 699499278; 136481794; 864244631; 158709573; 292580888; 318451556; 398394496; 860478105; 184867035; 1057978244; 878435110; 666547015; 682606637; 1686281; 22688376; 183365576; 686736311; 625324648; 1021867846; 879416336; 970984797; 1063998957; 567597049; 123164776; 738511936; 693117741; 91477429; 913591362; 42049852; 73078608; 131495432; 252982227; 599817506; 876207922; 694440565; 965770245; 580337058; 136474398; 193860753; 250618716; 248376657; 802660142; 651775644; 324259014; 549614760; 698928246; 142106038; 891833683; 1039117659; 268514065; 778534245; 47713731; 9185744; 43945453; 677088286; 459627868; 568484307; 1034697469; 124681048; 368443011; 527106228; 862799299; 669803665; 684248494; 383675608; 281757735; 436824114; 203134782; 830274410; 925081566; 579155458; 242740766; 637047311; 915659649; 669549975; 295017039; 849309190; 228420609; 840281153; 158289516; 566530882; 50078017; 850211019; 387748692; 487839718; 103341184; 904745532; 40155594; 45522184; 451569371; 775166470; 519002208; 1062801188; 267386398; 1013469014; 836256585; 256281044; 1010973507; 247691151; 534421860; 599530711; 296375316; 599476231; 1049619022; 869637203; 376034893; 749676500; 395344244; 120909530; 567533381; 1048274405; 457150770; 130715992; 950414071; 21707064; 284743902; 48452641; 400056979; 505913076; 161939596; 919825561; 923065727; 310279470; 134403466; 355629907; 405342776; 584754742; 1045324546; 684385039; 929014110; 966786310; 104603190; 215728358; 271229827; 968330698; 923864637; 328445182; 279274607; 993798591; 857604940; 910546564; 756927365; 1067225850; 295793957; 836341383; 402615163; 309836418; 248989209; 286184963; 1017511433; 1031100717; 6803121; 384591893; 152872026; 136792081; 799474501; 291958553; 568768572; 339298271; 505569068; 16085401; 657154445; 695840616; 510680748; 339578812; 238525898; 692385661; 830504480; 345932715; 289965649; 749877640; 256655806; 150656414; 825116799; 196272433; 876133769; 60522293; 662233892; 1058313836; 955772133; 83125500; 364033068; 968248909; 104960425; 422144158; 374258140; 66809471; 460996609; 702390238; 692743356; 559771624; 459235972; 421891838; 1003170221; 184915000; 139956438; 384974901; 613991213; 807555234; 480481734; 606382639; 784671207; 551602911; 750709603; 725264475; 953486355; 849230182; 865075402; 782223382; 879033390; 268324631; 816126005; 688310968; 714087495; 925797605; 529129976; 608808951; 273130032; 781611504; 53216963; 394160358; 1072631577; 980684052; 741339128; 734698259; 57825872; 589928126; 548426471; 252981262; 743618806; 132524868; 648478388; 333338012; 251269743; 567923674; 270934094; 291117749; 136202664; 385483858; 404907189; 845614602; 895570789; 670117525; 550571891; 345210103; 524964066; 698578885; 703537423; 209963601; 107661122; 878168214; 411252827; 251437248; 753777362; 634686911; 483757908; 662664830; 998677663; 268396162; 568906886; 1059313688; 739422978; 761596056; 191964770; 749472749; 956733941; 883707161; 822086455; 127163866; 876211761; 677601760; 8759890; 156820538; 982215008; 525328931; 843791511; 63613275; 560122842; 603891420; 644867735; 218695613; 1011787001; 1044003427; 999135037; 69600578; 316123203; 359216512; 308793984; 416559652; 641113473; 667627334; 642674442; 367510398; 926793168; 207760097; 545058073; 99788285; 438875167; 582428207; 901639366; 975851080; 918419499; 513165496; 823479401; 858451603; 284047177; 284967484; 179862422; 197167215; 367962468; 770241118; 363309629; 21244618; 691264313; 655053046; 230007166; 714016605; 648566434; 642298464; 725155558; 565317334; 299158757; 359323190; 559611717; 749096120; 676371825; 233643546; 176111976; 577755097; 758001277; 49040118; 825118517; 394096367; 195419831; 20997519; 827874843; 465211993; 1018845021; 867792803; 132562441; 621862562; 563465477; 500227230; 442008830; 269011491; 197875372; 970939100; 964310195; 234836700; 74015434; 671959343; 56928440; 603310560; 447325564; 973841813; 224954937; 49387249; 59539351; 409753361; 108214864; 322292332; 67719702; 82313325; 928526661; 1023271048; 26842873; 639645644; 146778865; 773448102; 778325257; 724723150; 750063944; 943611238; 284150332; 433831754; 944681086; 851305891; 352447456; 409463587; 63065697; 423438866; 789826122; 179870448; 785106029; 350638218; 815939795; 269240551; 965525598; 295462979; 982888958; 741668244; 567091425; 825186408; 670764873; 428896900; 585308828; 1017274519; 75010377; 572319916; 569399029; 892518220; 828240435; 380841945; 64410866; 282926139; 486784973; 622153181; 153098078; 674015793; 870620377; 213995875; 481674738; 634888321; 894890256; 481105891; 33833579; 56147199; 210131195; 987686410; 132177393; 667238953; 573144032; 146501514; 533509080; 722633072; 536167487; 525409932; 287783617; 296140074; 901502107; 331710469; 103936697; 706907510; 405172423; 714088208; 588927451; 1018741173; 500417634; 201509879; 529561713; 297694774; 34617314; 626682150; 729100160; 765622639; 905903448; 242084675; 47592511; 761703499; 173752098; 234832302; 646071362; 287747259; 785426015; 580545268; 371637010; 674928811; 623223690; 228330243; 493797040; 9502078; 1025560475; 1007137732; 402444432; 910218288; 918356519; 683941697; 1059177979; 957305674; 111438243; 307269400; 297010404; 567984020; 36680370; 794976402; 267135482; 913803354; 915710705; 657113564; 829422902; 981113486; 328926680; 991764363; 904069256; 1002462598; 680903191; 595024754; 671111081; 634634649; 575257989; 1029410717; 803572739; 678949168; 239128123; 881696192; 918263301; 18268837; 654044549; 73871496; 896835093; 499720060; 348496862; 149760232; 628991143; 1036155316; 293809270; 222321647; 343202422; 308910965; 641450521; 553321895; 96280274; 549584205; 31641925; 150923145; 814149916; 283260868; 241770829; 474475364; 653602877; 732524951; 574791191; 610379116; 241622527; 859448189; 822417134; 480942054; 244848305; 766114823; 1055333841; 150232648; 87424530; 303225978; 875406391; 547627152; 1030375872; 185819130; 1033821769; 396364580; 655065773; 268664675; 72141484; 2630656; 452536347; 842386356; 409609243; 426001540; 885408200; 75615195; 305491401; 958017056; 768338913; 772452781; 378759351; 329865747; 154558470; 614381921; 962579802; 247366285; 147236498; 157212304; 569942403; 449817152; 113903162; 741172282; 973591164; 902302590; 169326343; 334316831; 234782159; 130409207; 328565399; 326247767; 824947900; 304257633; 758833910; 777265266; 661308195; 292539047; 853120769; 767851282; 472662963; 989211964; 632618421; 894278472; 373660834; 808328822; 528489900; 474033450; 283307278; 777682921; 897151186; 70656521; 551587198; 312181058; 255143568; 142558243; 316004422; 277005232; 1043137411; 906739668; 51581515; 288389120; 117588342; 820484812; 628368087; 143778181; 712772871; 199313078; 236954378; 492194757; 270295994; 550942958; 197138611; 859749691; 885525559; 479817990; 75493096; 806909264; 778548898; 223975914; 819767159; 885758800; 477553318; 856443716; 33464323; 499465979; 121227635; 1043419936; 593882869; 192197486; 116622676; 289293804; 147967437; 237490539; 684224848; 866095735; 1009965894; 975322611; 6883894; 578955497; 862414674; 604888229; 521534165; 708028798; 66557946; 596344398; 980183014; 531852954; 748392945; 790064694; 447362071; 178829074; 439983592; 258618750; 184498568; 174354245; 497554000; 903741893; 100586858; 999879694; 85168853; 1013825943; 534831653; 1017729574; 914309776; 264603985; 762572049; 844443194; 221548251; 660572703; 140271035; 666535568; 708525212; 1014015070; 113846825; 1071660128; 45521092; 264707065; 920970996; 646647586; 688334634; 886924209; 783307779; 282949041; 158437687; 938053425; 243575640; 857539391; 918195443; 422709688; 493373034; 632045287; 702298690; 126972449; 196714066; 78149469; 595068038; 259434047; 596072592; 215731088; 471101005; 746398316; 97990175; 242700454; 629903588; 483259483; 970908461; 669557105; 944494237; 71074355; 433074836; 226576797; 1060828511; 242682273; 47332950; 537455221; 854395818; 1007809060; 1052152845; 866354229; 600036347; 745443604; 1055342217; 521614390; 614071335; 224359062; 909145740; 847956943; 647995819; 609537715; 269267754; 792128744; 492636971; 380761192; 764386990; 984426826; 341796364; 130499520; 861463730; 954317565; 874801709; 519973950; 556304619; 522583574; 8777719; 388389048; 948698355; 442760906; 705661473; 906243361; 315936761; 928101379; 569521240; 1021659704; 768060900; 866877893; 526156954; 1064735473; 201587352; 80893259; 1052940610; 1068915753; 258595064; 246142978; 859342304; 701515772; 642905512; 298313486; 951136033; 981714142; 1012417; 670087256; 332805343; 126621253; 162042880; 1027900339; 612258406; 261223164; 1020183415; 299533189; 1015553669; 815307364; 1045817666; 85606564; 433676275; 572771395; 166914199; 748017326; 747171196; 398050316; 196648839; 1027539036; 562396872; 920208228; 688313046; 111612669; 638582831; 357373022; 329911872; 646638849; 742107831; 337509724; 740310489; 29788973; 582629588; 506471347; 331202011; 259625205; 843252895; 668589553; 63363287; 113249954; 876394366; 559278488; 392379662; 605136762; 454409966; 785769975; 768002443; 601566563; 282514834; 98944914; 791292122; 49150766; 750524726; 442849019; 230808661; 376639992; 226165304; 262971497; 376784865; 192448469; 12011241; 195697841; 95861542; 211932215; 836373279; 685938109; 13346870; 588693026; 150870427; 883523452; 180173741; 369833933; 782536229; 171484716; 752850171; 76217210; 79221590; 548829161; 411309241; 1004848241; 831110947; 458821704; 234528360; 402039342; 469450461; 751942231; 622964463; 221530233; 788362939; 730912148; 755362603; 327802309; 289837125; 1007640811; 385507791; 413601611; 913015337; 575642815; 393143232; 12158300; 704291909; 440963134; 647120901; 91279232; 532533120; 893885600; 20431060; 611923040; 917618430; 97972442; 713376072; 939352367; 816356385; 58693315; 272739841; 549232436; 1035997134; 544500171; 211791862; 407699296; 615373587; 1061899786; 736142347; 600706140; 344791400; 411268307; 1066019766; 772800247; 74920602; 57974424; 483989898; 474702502; 295762949; 512100867; 586863643; 215821665; 407272652; 58581420; 510167085; 763327680; 813261259; 103838941; 126103829; 815828981; 203439687; 66035858; 57018164; 597490814; 731969563; 223465562; 22286133; 213007482; 1792283; 824458136; 864114331; 176608512; 11010437; 769870610; 715407040; 1003751453; 629834130; 96398151; 975860766; 179016297; 1030980574; 32254174; 479341101; 462838460; 128290588; 1020564102; 459717969; 918586565; 981350899; 415786828; 783618101; 217321251; 900124805; 623664782; 712464497; 646549274; 43190577; 455256925; 643573569; 283515713; 522908059; 805703014; 816812518; 786262572; 430303890; 542767628; 153470414; 402540111; 301686657; 907553889; 943868504; 592857508; 251426932; 491557929; 116054259; 878364419; 1059167778; 951580164; 900467602; 666448381; 983716411; 857370620; 407444274; 358431551; 243126100; 853992388; 891313094; 11223043; 940766896; 653926608; 998299136; 931897489; 754619144; 1067567579; 557962716; 373455551; 198446876; 1019668038; 295427868; 819070238; 118176167; 34676644; 24700572; 1065094740; 268125319; 104080746; 457263869; 838824717; 306452127; 13494248; 957284186; 23075497; 337410101; 791643363; 602158222; 933572684; 475126794; 613802085; 948511410; 249348638; 246826980; 1017280079; 879229977; 3921547; 410150941; 112868903; 752338497; 247361943; 363370540; 608727123; 28380141; 661693688; 901798589; 585773670; 541132315; 1029245723; 636235696; 82955246; 721063816; 491303876; 355200096; 297396157; 440058489; 99636408; 159509080; 860117795; 659633823; 283871148; 304812805; 18665009; 549560403; 672395911; 362391028; 503571900; 694930810; 160163099; 25473217; 52381198; 369930929; 969380908; 647525875; 271117214; 667332608; 667859316; 540560597; 279304152; 444176017; 883238473; 831897522; 867423104; 811364406; 61896545; 742112016; 203268347; 181827346; 578299510; 396744337; 483207004; 890535638; 535687683; 395906574; 877480585; 497032710; 488826330; 203408259; 555317488; 496570806; 287866357; 184654647; 1053602276; 1058585362; 162710176; 37912521; 295860006; 574402263; 1064788566; 284979748; 429806325; 156891276; 443875722; 87114160; 538100830; 500878358; 649755094; 319695215; 977228586; 355551930; 231248796; 514455808; 56865785; 545057475; 952910015; 319041254; 787654892; 829175290; 558311183; 696009992; 119328275; 15022374; 951526000; 561938306; 132415036; 432849335; 791678546; 781980; 175616839; 1064994844; 402541021; 1054169817; 242156522; 201582713; 82440549; 566916865; 678877369; 428928249; 616230188; 457841568; 663573668; 737707442; 541006054; 491366354; 142077018; 813794842; 716404323; 551628946; 509883750; 861031102; 947436540; 1026317495; 1013765983; 899334484; 111077420; 556250063; 468704308; 1037369511; 171806985; 731306723; 443099218; 46623391; 905082324; 704339637; 484278293; 697833945; 984159167; 582427727; 617103373; 94210592; 218281358; 813221100; 299845783; 989646367; 675108689; 580095926; 176697224; 395406540; 163905189; 973738066; 1014611406; 761510725; 1046239909; 144622225; 954228515; 237169629; 231501964; 528434789; 487382985; 157548902; 692567597; 4183975; 440578784; 672329673; 395996621; 360236202; 270235195; 1039530156; 967191718; 63799603; 984866312; 281141258; 309578762; 7937183; 223900797; 434407865; 428336052; 1048998823; 503973511; 192376684; 546739298; 947693701; 122920636; 862389167; 845317488; 360909978; 667512625; 1073545794; 454536263; 830293132; 499477604; 281287594; 624799070; 813157; 150233525; 837692426; 144080615; 965093651; 472217887; 73632658; 835296859; 340152154; 712083095; 434045437; 24059433; 849386544; 762036120; 1050169195; 729671373; 239831885; 735733725; 458810097; 472452764; 585281401; 498965190; 759033233; 587015264; 248991244; 127161586; 689277368; 1016203546; 270508256; 472157299; 1016834113; 923892227; 130322164; 370002037; 99080193; 21362732; 404052247; 1058341966; 37803046; 748437185; 687944263; 676663501; 641187102; 953765056; 495311178; 626073980; 816186937; 551757776; 328022965; 842158913; 313806081; 373189055; 914205268; 84157985; 316590637; 909606194; 1007853048; 883240297; 981943823; 540633522; 1053640995; 372998195; 555868874; 535108614; 1066015372; 459265284; 319230984; 777404033; 469813616; 920045532; 128438600; 763840386; 934672007; 310669409; 90783701; 1061159174; 74175564; 589387915; 325447842; 504276269; 664901011; 337536773; 764211606; 77431228; 538406831; 301097770; 828891565; 582841441; 780772534; 286773816; 447785004; 158312318; 341032067; 967562415; 974872537; 1009280877; 497414939; 531121798; 266240668; 612599287; 718669105; 486458371; 881616836; 486842030; 882673252; 313916959; 153924221; 52535709; 678774961; 429375532; 574925552; 364164372; 114384865; 500030388; 533023083; 700881257; 68333144; 333986491; 246379238; 346673564; 627798764; 302553861; 582434227; 191285933; 473168218; 917377937; 198835392; 429500041; 631768487; 292366204; 898346907; 300729326; 61920281; 559379280; 767931972; 387134768; 284752604; 783257047; 955152515; 764316881; 802291840; 505108541; 391203896; 962193807; 353051468; 963460218; 522946333; 43646578; 681980209; 426464251; 874625450; 460324595; 106729939; 281114959; 60780377; 299960050; 368136144; 680243002; 424189073; 138370121; 256230254; 922192647; 717956464; 659212996; 242979205; 340593138; 616689623; 953807974; 828074471; 282155702; 71691826; 846231253; 291207480; 973873080; 893551756; 314546974; 870789663; 509169810; 644626315; 52302515; 367159804; 717087055; 1069506699; 570823527; 942419013; 965097682; 655685459; 119688583; 1039143990; 120415398; 579059869; 974181030; 431822867; 319858226; 634672640; 973504282; 469552293; 697508320; 31054298; 551793765; 541914223; 1045480781; 328584647; 678153225; 292914308; 111437136; 994057467; 198087441; 788653769; 529801002; 5890568; 81330345; 490656859; 1041188061; 830732195; 915841630; 384904663; 1023055296; 971207891; 498291466; 586485888; 357196277; 814136029; 169668587; 642638064; 984466087; 236597449; 363565983; 540434782; 1024794562; 917148500; 840270101; 635687801; 491630048; 78002436; 187136932; 1014310290; 1025248762; 737137208; 38050806; 930440544; 191462850; 271858434; 589487875; 902468685; 936971885; 95979214; 660921364; 152228370; 457421281; 1008515874; 972069909; 1065351808; 686264925; 599122100; 537365613; 675004681; 364828003; 136082907; 614672232; 617319726; 28703586; 456344016; 941652387; 1017323587; 477658398; 305482989; 440805692; 405074409; 779889087; 622311928; 333932653; 720743010; 976228114; 922036394; 900766676; 805818422; 288149115; 281382542; 123483616; 708056887; 110650135; 727532734; 667364457; 585119549; 178348561; 25446033; 632962587; 349866262; 934715996; 321535881; 1018523677; 1032403639; 725919482; 201564723; 715457010; 332843259; 960514308; 961421393; 459070843; 201296605; 92359099; 1054624803; 435173356; 434437045; 992932993; 419178240; 318034799; 872460703; 892649445; 449984380; 543511856; 256148947; 110847188; 646241369; 218750761; 323396660; 1022140021; 765509906; 538558348; 1003544550; 156151; 261539903; 598255243; 395121001; 955933956; 222251407; 171620678; 347690621; 864765941; 652235763; 168009596; 1061604394; 98922851; 525853926; 566124391; 645476733; 686111927; 741185807; 451998288; 182178047; 305724736; 1069976633; 40316467; 864235193; 499805687; 193774067; 226843653; 278780080; 184656221; 175260146; 286008996; 940990144; 223044773; 591131217; 622200120; 260572494; 702286239; 4848290; 679818295; 251125243; 274973700; 821558807; 859391081; 413457807; 774071238; 637928352; 266865167; 529039078; 95199407; 505368707; 769723256; 169240933; 151842646; 806429879; 811478310; 483554461; 102947001; 111517133; 338323639; 428462261; 530495511; 97324508; 171304358; 717949885; 973942887; 835499286; 853461781; 455862401; 620489939; 1036630952; 757601305; 748845039; 650340276; 969428442; 987511854; 660974834; 168143555; 640201531; 566620699; 647473165; 839184450; 421939774; 441973286; 958295878; 428148425; 695667509; 216120887; 830744453; 1062586470; 782667132; 730429067; 7438703; 109493629; 115560840; 126175059; 59130477; 391401548; 368680747; 412655140; 574643817; 694352108; 483147548; 151624448; 553264841; 619977066; 435036536; 397428122; 610393499; 1042402398; 416397769; 1016982069; 529412454; 165890481; 525082512; 619469479; 116723887; 1021546426; 174637058; 744116313; 205907168; 363286161; 610036131; 164683587; 428392635; 530221034; 795580537; 572804243; 376986299; 557972555; 116947680; 129107523; 272276933; 630556284; 885606344; 428798093; 833755676; 240292471; 148207041; 622010081; 1028142995; 622784708; 200025383; 124122796; 77941077; 265447044; 100884283; 948517894; 104466353; 369579046; 105903532; 452423738; 981326028; 696313277; 1008507998; 248556844; 165042586; 709743199; 1066573196; 427970536; 859979219; 73629428; 981241007; 482667454; 709456163; 780238537; 1049815011; 171521448; 1036050401; 120449658; 367312151; 1015931875; 455730796; 985365694; 336989160; 1032084486; 573479348; 606013853; 1006604878; 442581582; 856440374; 236744200; 489670580; 554198933; 844731132; 93517285; 313007325; 648924548; 992771533; 737484790; 119809786; 392335155; 973943930; 620882122; 317402688; 820164065; 59931164; 110156352; 337478304; 590810674; 992858391; 722688693; 498246393; 385477675; 118716097; 551989891; 309661836; 489879385; 794092794; 169767226; 373360320; 740654259; 931221549; 818752722; 350624688; 460077746; 313275264; 925553267; 357142319; 1009343241; 994246202; 176260550; 531813655; 600797294; 867007343; 165536198; 505606878; 195923736; 698728915; 249516611; 772744016; 409830055; 996978204; 756490121; 320174472; 985265996; 662890812; 286718302; 625696989; 389663716; 243180048; 970447164; 577471162; 764013931; 594088606; 183840356; 877651227; 520646057; 608409137; 250917548; 964906517; 952334985; 907454554; 611392151; 683050521; 767790059; 645600268; 870060645; 330776729; 467861533; 383269724; 855831343; 266854558; 974204828; 754831947; 444489019; 331979787; 368693640; 368030196; 228720628; 197700959; 63189679; 1058781142; 638721687; 361660496; 861437868; 351647169; 1043024167; 229681726; 513110876; 453773301; 482920084; 437996066; 522404467; 984057397; 615874270; 73283436; 816316096; 1058899627; 849059729; 31328851; 297452808; 403245630; 920782993; 929504676; 266248333; 275751604; 189483167; 799970504; 297932486; 394151142; 1000518807; 257034768; 257152234; 811916631; 1018962791; 160566813; 1018757506; 651951085; 1008906; 828334607; 821088855; 721791385; 336885534; 483657195; 603218806; 417077977; 855905183; 714390624; 626900019; 536567380; 703782690; 918129887; 1039862925; 440246908; 230194862; 147024484; 707460674; 313445441; 104346151; 1040563695; 329618097; 280187671; 999611858; 180511110; 886839671; 564474374; 511236390; 846367522; 230296423; 879875322; 609460305; 611980039; 686349561; 55635025; 346275096; 765540359; 612543616; 583182302; 528597149; 844665300; 818955455; 714203268; 401407839; 198446719; 764591366; 914286334; 1071829149; 866267098; 448400520; 913914436; 898217190; 297449206; 334359439; 750745446; 159898015; 735271669; 778537982; 72649288; 686555924; 890683664; 367703412; 62733102; 432595851; 840243665; 140717936; 492572592; 931046892; 921734730; 871109201; 800884888; 808788345; 847523049; 34728197; 490463156; 773449778; 225171863; 764348046; 722199888; 875450523; 259609143; 316735627; 287177110; 168158629; 162731255; 309543924; 989142115; 11962712; 536722116; 972460504; 653409161; 72960421; 429960202; 984386132; 50667169; 1003866693; 831081944; 42187767; 957636208; 247921456; 444264915; 453996116; 175356837; 766084349; 150304621; 933336111; 637188925; 715587629; 645817497; 255297663; 573608434; 572825762; 483569143; 178783233; 738701163; 1031054166; 583046956; 99921353; 127992708; 687497589; 868313472; 711919383; 704963074; 878926157; 903352238; 769203238; 48873832; 3999886; 162441664; 603904064; 510835179; 559399923; 417763922; 1010665037; 1050957122; 226274311; 583592997; 775024406; 773708282; 41306642; 121537287; 884388427; 646560370; 810652151; 650107845; 170609291; 795294557; 302703569; 414558544; 436480757; 333848621; 11980796; 415935822; 149855566; 726063479; 455463470; 273719147; 432201895; 1035353872; 914091245; 777239980; 95576021; 189015455; 17093820; 927548200; 399585413; 723664752; 974282092; 876668256; 849971236; 895403054; 981896700; 71953994; 940794593; 465592116; 140521480; 1020864835; 160558262; 47010379; 555553347; 656658449; 633203293; 959393285; 81882742; 772419740; 761301673; 977543766; 771962963; 42486035; 708197551; 367843342; 777935873; 138875748; 766300734; 858398714; 982717995; 394151230; 86568291; 705494867; 647581428; 249769550; 51204524; 226555273; 371244983; 563089671; 465900890; 540868628; 652148772; 984033027; 383180052; 562875001; 457734860; 973691404; 515623741; 53746000; 621135250; 235538580; 924966823; 436729190; 221788432; 25202017; 819663743; 664184396; 832839581; 528154823; 1030674364; 916118274; 1000695648; 490145860; 683390273; 60774967; 43955087; 344070021; 271546717; 552206518; 745793056; 136710279; 397270972; 820924776; 888483881; 214684256; 653424970; 974882217; 36416159; 240635591; 451050211; 153248559; 471064290; 802626008; 565437119; 510368720; 645943266; 141735696; 386755735; 936164317; 858788364; 962035389; 325040556; 865203462; 236902692; 376246542; 1061517354; 249249450; 414821427; 867197388; 686718657; 188254039; 781532081; 615302371; 79756138; 22796153; 443069334; 411571543; 126751340; 952869997; 922638163; 817915644; 659595915; 694403196; 127652145; 771045109; 185838308; 515165566; 374460051; 392491932; 684926070; 769077390; 615415969; 872371979; 999243689; 528107771; 603166002; 369938110; 1003782799; 799453829; 473158099; 658891369; 691640745; 768718672; 455143064; 1044543648; 197975682; 493991448; 407721850; 907153079; 682988052; 216450179; 23407666; 790759588; 586380694; 1033940967; 364129157; 691909046; 664533038; 626313111; 410161074; 576261361; 194978855; 1026704767; 396410504; 296622425; 466793038; 34126502; 30268036; 879276982; 281029084; 429800473; 386458451; 1057068669; 435257995; 739629245; 1008713677; 668045289; 880930673; 981025906; 335060757; 147910966; 765958180; 443473200; 818329272; 601252723; 1010424126; 1056649385; 854626945; 1235140; 712953953; 23710942; 994883616; 545613407; 65431954; 239223414; 441748002; 247988879; 839018542; 388878946; 965697004; 899120913; 763315424; 440079703; 1016412187; 499979885; 257465012; 100662339; 502544207; 826502872; 85758243; 902692960; 1023612657; 959226734; 541474632; 413819805; 215811520; 778760020; 683478318; 31133314; 398997757; 95155953; 643928352; 408822147; 634499048; 112402307; 457258904; 660078412; 605221698; 774945980; 49948562; 706221519; 619778567; 849319259; 486926890; 378176437; 183693394; 789978775; 218276469; 388697113; 656258970; 375100208; 279744454; 775698478; 392103427; 349852671; 530651727; 541028208; 340629472; 8413367; 179517548; 549270948; 728874490; 1014279994; 162584208; 676305325; 772909420; 99429463; 953498220; 579293458; 736717868; 69603457; 392762284; 804482432; 443180426; 404318894; 383094368; 239405181; 66487710; 535607781; 105477250; 931292719; 564771134; 155644855; 232497807; 703801643; 64317924; 604041778; 486608899; 508396120; 402928758; 187839412; 436894620; 874931262; 766224126; 476219904; 62656064; 953755509; 248491352; 683335842; 590836501; 127383545; 756405032; 701135033; 1000036654; 455329291; 406578130; 166833981; 454464136; 1052381675; 376742015; 444365437; 540677756; 121028062; 75510894; 225053553; 975797492; 321973294; 1036776798; 620783718; 1042368514; 1063230168; 485795845; 372901709; 1001982725; 436237508; 556369588; 947754939; 256417498; 930921363; 503180034; 68288953; 79194823; 22922477; 434591191; 645431406; 193633808; 626371634; 265175028; 1018951715; 636483575; 857445609; 27115585; 2133873; 836182651; 84677633; 730302219; 658325621; 1043861945; 629023823; 326685708; 948363036; 682358956; 441860929; 272415312; 1047493291; 179366292; 1046463451; 97853914; 764782025; 917027341; 619015555; 687436873; 410391; 774956938; 981065260; 18048594; 150045283; 372463021; 393044576; 420471967; 223638373; 984764468; 960689351; 215076594; 339616725; 1072396681; 195720234; 480358009; 231711664; 725990428; 1000474473; 31967796; 132359092; 506463250; 880278828; 496609479; 649316843; 495856816; 582202001; 563221222; 982526444; 72017365; 472565755; 501784686; 572160379; 67154798; 561884469; 402992958; 283137156; 282596267; 236088947; 554123637; 143839040; 846722001; 1005782824; 521038765; 932713948; 695523209; 543361313; 1007734567; 186091618; 22023707; 373389426; 733180249; 592146143; 28881286; 196912612; 211621200; 781686988; 463406088; 234298788; 254411506; 719197120; 544931850; 674433527; 616678035; 28656832; 642976676; 552688336; 781362112; 207746796; 335593708; 339236084; 789131834; 789776325; 354179190; 515783913; 157421911; 302032033; 512470290; 923875818; 164292535; 892783913; 452260838; 844882096; 691502284; 251031852; 985970539; 255612193; 942179088; 521216463; 116845496; 645831560; 279968590; 837065923; 713722197; 476932432; 389250775; 800163680; 611989294; 29946273; 648765566; 911298822; 144447804; 344082545; 433366591; 71368956; 580166309; 176664892; 1058637990; 351901937; 663584775; 446907894; 966977005; 35943852; 1003707222; 435787794; 638758375; 868629946; 22068398; 509369026; 308025111; 780123940; 599724568; 484925849; 599786719; 847196779; 874674814; 139361860; 601972472; 162630346; 719314863; 156390855; 930274867; 487583440; 317369129; 200923441; 411227970; 1019433625; 121171217; 568885880; 836553051; 175407018; 7899654; 893251181; 409437377; 383053459; 346223153; 508648278; 531279423; 934763609; 837165800; 526249414; 226259924; 598591581; 374976642; 948207249; 656967840; 927766073; 950049222; 804859528; 637199665; 992129085; 647312112; 165672105; 559218187; 546959990; 931192225; 942649975; 340141866; 65442273; 128094952; 38292438; 662955616; 376610717; 718758031; 300460207; 863083626; 986722258; 442043047; 631178072; 454548856; 892171778; 41811167; 312621952; 113764969; 577512518; 267989489; 1058653560; 114061217; 886405484; 687275555; 662955137; 979463148; 477077897; 675069578; 677246672; 126734492; 531453933; 282842464; 1012602081; 183375559; 694402818; 351090768; 341100060; 120078805; 78509799; 294989943; 13047115; 754710508; 189680555; 364446809; 277140230; 208918419; 829116433; 591499842; 1061102915; 308069416; 502008645; 84555686; 842882166; 792483192; 220072697; 1023666756; 456283511; 475314215; 951620764; 899871050; 226834044; 866979949; 501639915; 302652031; 43704988; 207445538; 794172312; 364853908; 620318316; 844097515; 959596010; 819981864; 1072584819; 944637927; 411446684; 958168479; 805172493; 815280704; 133788345; 853967590; 29468310; 319546531; 805264898; 244428863; 1054284889; 198867228; 1023205982; 323036064; 11325387; 946015827; 29946006; 213499537; 608619265; 1061842083; 457406238; 426310406; 176049737; 618733055; 481245899; 31738847; 202603395; 409238808; 515221511; 498621085; 500648852; 784477224; 1052367705; 583706650; 793838370; 865837968; 312568400; 834534508; 1040225524; 548921964; 107743911; 721367088; 208928773; 777764343; 729673818; 919312665; 601573086; 1050503442; 226197182; 1039526102; 221728118; 796054659; 985741144; 193101299; 72608159; 291921941; 616697695; 609090752; 883027348; 185080361; 887593765; 496959959; 12284649; 40465725; 684183893; 116409676; 862813683; 1057936469; 403889542; 505896713; 48249123; 302404638; 320072743; 410325754; 314206740; 882147421; 611815120; 236039095; 828601660; 350379969; 304857887; 472473971; 1032065915; 265700251; 565665924; 1042549767; 284810160; 249040457; 645452850; 639966322; 536256261; 469813673; 182660933; 264836429; 520912972; 212505260; 528347783; 359279388; 628101735; 901670983; 891471211; 963408487; 780259397; 619215246; 660306497; 20630453; 1026478652; 407161425; 576729063; 271555640; 914406091; 652774498; 141464733; 327327353; 158672641; 352717586; 208600111; 1030928318; 712829560; 267546605; 560019144; 976502210; 596894498; 61427311; 335438183; 420404313; 574121300; 1041658222; 417430225; 301443895; 834669065; 526530862; 686183515; 191209729; 268212366; 681165261; 82673336; 169369652; 684420814; 211653258; 856393197; 972820742; 466533132; 777468917; 1047708496; 777866517; 61965098; 814919044; 429554576; 502924321; 899502208; 701926271; 350170368; 601019011; 147041638; 229402653; 153038532; 459112089; 31062984; 868053742; 966033868; 343229572; 651077673; 901429941; 297282448; 280877329; 650055121; 396778686; 351563250; 547375073; 1020723047; 1056909752; 313514477; 1019271429; 868388158; 156696560; 578184033; 809395411; 988322541; 976034203; 417357224; 949784994; 825401371; 678380117; 637959619; 562519277; 671225501; 476937449; 224923292; 478677895; 125219694; 13039399; 193372101; 243081441; 1001983536; 374804286; 847779059; 584781700; 302920629; 243060154; 347591847; 819388777; 965140928; 34235028; 967331594; 709445389; 637526643; 562176711; 804119845; 858304222; 93765888; 811899896; 826114558; 275498483; 338171770; 186235742; 1008308795; 137805388; 402532972; 341208434; 566375043; 73613291; 479182940; 743241915; 475837629; 523005822; 925597222; 406291531; 1003104193; 274717376; 1032988425; 916799020; 321241321; 420353422; 660745826; 305104769; 729883651; 165727751; 247967367; 511600595; 15836641; 657507325; 930228993; 356053493; 16864016; 551189797; 972516843; 129330824; 215248034; 1017293786; 168664061; 84906569; 664155321; 579980925; 632144559; 332106942; 796028609; 775547092; 716383428; 946213603; 940825453; 36378396; 822478162; 74179810; 771374841; 325788417; 41296757; 253120937; 837200989; 820821430; 365144687; 434864167; 866351374; 1049030033; 237112124; 678276490; 95474591; 378761019; 459245273; 95661808; 277565918; 284596128; 77208410; 29405695; 382587955; 986822992; 783293179; 600448565; 698041619; 357245233; 373470303; 625526718; 993693983; 303909214; 780304424; 803552459; 230152056; 366376716; 447925726; 73874524; 766886281; 303533565; 166850108; 619920719; 326930574; 829937777; 511734649; 771861882; 333184488; 997394789; 237591959; 182929351; 544603730; 86492159; 672158137; 437245430; 1010873942; 673084751; 481539259; 505952091; 599922278; 1037714109; 902852510; 245984021; 324596555; 888347432; 600660640; 1017537430; 779676589; 34320443; 703684668; 99299016; 820734821; 32982417; 421127718; 498638922; 102244284; 78112573; 676900404; 531975959; 824770963; 619509307; 798117866; 585848254; 114465905; 98105954; 962416377; 200682115; 702124278; 712901219; 564783676; 971392052; 499239498; 1069799214; 14601899; 491096504; 781734106; 57450156; 988752473; 605313104; 1043710149; 836649176; 385647355; 414214559; 153767009; 1010032788; 183372657; 121061047; 302923876; 946475272; 34285524; 390055841; 999209143; 697138605; 759178117; 36269761; 346552526; 611036734; 226105311; 629263420; 179505302; 687133234; 792427249; 328684580; 1537640; 666668258; 483433588; 413280790; 91118848; 124441106; 569682554; 801672573; 434854478; 247736839; 557023410; 805862064; 850329371; 972681050; 398349288; 389819299; 448066937; 497304396; 84439733; 469126611; 631093174; 341544463; 306175064; 910296766; 687151050; 879654718; 270861839; 724188804; 149063316; 217660549; 1048427531; 525140816; 832197875; 372411940; 336375012; 15636202; 844900837; 245367000; 364912637; 898133371; 136869666; 1067307103; 104174706; 559383767; 792327427; 730077741; 133490617; 13672533; 16613660; 775428676; 770664219; 598010480; 396500826; 255983032; 705027447; 816952780; 383801866; 866687073; 694858740; 33065052; 295923619; 19342575; 339797169; 538003147; 5083037; 579972955; 768433323; 249556385; 960765800; 963589241; 525777870; 687972625; 987117734; 511794439; 290484487; 282111616; 144921270; 884282373; 1051394173; 3886953; 167492404; 1055910179; 860848129; 91650709; 1054832613; 936603421; 75324675; 421399373; 807236561; 74852363; 966128813; 130043210; 736561754; 126902513; 669062431; 492198836; 385227094; 545482982; 411571914; 218580464; 673224447; 813145239; 155392311; 524254810; 156542435; 943693273; 319776357; 876915534; 738738300; 621256115; 147700796; 710461197; 945310618; 720687546; 832149319; 1020862448; 966497930; 977831618; 322620175; 611601336; 241356433; 205593692; 128288394; 467053050; 175360943; 588581355; 1027441537; 1018006781; 343008116; 468516819; 658267690; 539886470; 572647547; 303432781; 570573186; 411651490; 928498648; 953140329; 93334536; 745167536; 951115696; 38654304; 472423795; 271719570; 412006025; 536556369; 380298168; 124346770; 257025693; 813398583; 1033924222; 906442972; 541726272; 896314932; 820662288; 629773296; 658314920; 789259169; 972908966; 1041161942; 711383549; 855739738; 152077212; 385806009; 265242089; 727947301; 115498333; 47780980; 374430273; 535465172; 901414291; 933836388; 608168916; 437004979; 437589627; 903100086; 163365238; 778597814; 701534887; 656493285; 543772590; 1057223913; 175123085; 824591851; 718424378; 846491829; 711051087; 919257780; 647260259; 34181037; 611755647; 813729827; 174734500; 921663293; 596488032; 1027606800; 953577357; 222596062; 144849919; 413021552; 2635362; 874462430; 114086941; 705136161; 140200247; 312173069; 791023024; 522386752; 167918745; 146048366; 802264918; 12265611; 726019892; 127505328; 665695754; 23851435; 917365690; 888140875; 487008779; 741729017; 785975959; 468776515; 794776321; 121790141; 269602769; 124011059; 38684706; 597916332; 681198094; 263949896; 300218189; 11823861; 696570794; 171112133; 310692271; 1017683704; 878281641; 319757500; 253303817; 1023070491; 205116914; 1046153140; 182974571; 295922595; 85983647; 348384399; 181030652; 182561070; 750045452; 979231737; 574268072; 609714663; 650476997; 938609438; 104173548; 724301829; 387554298; 974961191; 86914402; 236452747; 91478256; 867495778; 945229589; 172584377; 315651337; 452099447; 1038979711; 947839807; 613187135; 16178312; 318122331; 711678153; 130283731; 560746986; 159718133; 147759913; 714836889; 918523947; 974482514; 686086805; 959950584; 1003074194; 391816342; 742624823; 932406175; 227045417; 344216683; 270111592; 240648195; 332421817; 608721436; 417030649; 728630404; 452496649; 172726723; 117048964; 146828728; 247487960; 174082403; 784100722; 493915889; 65052246; 466637242; 221237280; 8039322; 174917182; 1029999806; 323117282; 252934760; 992622132; 96421094; 394507446; 588031527; 201116670; 19830691; 739559730; 536533346; 645532794; 698411279; 795269902; 565494453; 533098610; 1037153872; 596903719; 506061522; 168329921; 556111721; 660281172; 239815042; 494281311; 739002791; 183006012; 784800371; 607024390; 663344001; 241121696; 473176889; 499058344; 758534031; 655269508; 5004589; 330669239; 104546165; 317472682; 258552599; 441732843; 175987361; 148667490; 854725204; 442527496; 605848388; 99052778; 167504855; 40777338; 342260719; 154587233; 33440877; 773697500; 933486377; 597103169; 168333467; 1004507358; 642430924; 551770950; 835704061; 26022681; 719056113; 526403034; 960022934; 198720464; 177641233; 529296909; 811802991; 743578806; 837409582; 296327713; 412365641; 891456857; 749974568; 190836713; 978518461; 1037097173; 847110765; 151723209; 64734225; 130422711; 491636189; 641230331; 140116649; 928212504; 923957556; 602915474; 587072035; 482078811; 1000116922; 691894502; 262759496; 448609673; 315296211; 653248772; 433930746; 237494497; 351107809; 952192084; 500153326; 734918398; 129410496; 174065296; 334185698; 412775299; 698043248; 638093363; 378918678; 783531823; 600116932; 228107757; 771498220; 920077091; 1021026386; 207205164; 70483363; 3546820; 888171461; 1035928820; 254981426; 602515231; 1072453819; 923641831; 429844350; 345412680; 643541580; 305038656; 1026841860; 185133794; 67667891; 1033203589; 949571973; 692600711; 861140073; 906635182; 849361155; 44953951; 501099332; 625861192; 390110004; 387483986; 420093797; 673545366; 1033210719; 930509374; 986951298; 402963149; 5466803; 767465883; 884687020; 64831612; 318948269; 220778161; 544336835; 190534012; 46690413; 615086286; 343745684; 249879186; 622012370; 1043283413; 413032900; 643526469; 189257701; 387374934; 791437547; 640436170; 965941635; 645935810; 638227527; 457790722; 706057481; 946370575; 275257880; 506882849; 836028211; 494476091; 530816935; 683157851; 2610030; 643883351; 826963002; 1025373290; 581693600; 387615151; 388613200; 701516458; 836465666; 791232035; 208043250; 1023419715; 302349268; 195409001; 957872238; 796416462; 478716277; 323408781; 632144999; 998306276; 246326624; 1169307; 519244244; 254666782; 654338855; 558420081; 768917211; 93623095; 332658146; 684340417; 355146011; 1043810010; 538946105; 699325623; 873451860; 93320556; 683784503; 208254531; 422338506; 999507004; 317966098; 510315013; 538656087; 272013823; 709268531; 138674029; 1067164548; 343951762; 816790723; 278814142; 929548111; 922362938; 903757777; 435392145; 741984699; 793232449; 809367523; 916236813; 846121175; 188651077; 111246033; 357302185; 163399716; 543003035; 767470547; 832037505; 993782170; 827606051; 289523995; 629711739; 923476040; 18735723; 883309347; 775535856; 2381200; 544386978; 853533814; 425964860; 977336529; 38057228; 503809061; 224384753; 1034392650; 845779786; 457570652; 1044262889; 571441932; 559454445; 855923845; 545312691; 78753016; 121514018; 423519640; 128690296; 1056677410; 982629919; 278013891; 1054673450; 183194876; 832497953; 957476939; 214123289; 200865317; 204326334; 305789132; 795435092; 1038767181; 475613183; 425982060; 869862367; 634708165; 672067255; 653990058; 202625435; 51709230; 472588562; 1007570065; 269692019; 760736116; 33939066; 100836217; 737483364; 42267024; 162339227; 292394929; 220317435; 1025066755; 54253472; 719800628; 606275700; 331637776; 277826707; 273011614; 1020762715; 285526447; 561030639; 745434983; 614859800; 646033605; 974578489; 1060021631; 107073888; 227806784; 704570872; 237450748; 605384969; 320818598; 697909418; 42559010; 921639755; 209656795; 756064250; 950787030; 106042030; 56716641; 910664540; 1022388854; 759918794; 1013665384; 929296461; 431784372; 1036123599; 266136823; 543484365; 1025749188; 883099593; 810423926; 707951838; 121072018; 635562096; 157166198; 508757819; 145188529; 115084372; 70294287; 57857008; 447927301; 14738229; 357325469; 354723793; 95072549; 170149711; 81325246; 264257638; 123264788; 277250394; 785099202; 110711177; 634918561; 478605142; 924389454; 876810672; 180995098; 261578691; 657605779; 706448539; 178600683; 688578499; 654733269; 424218665; 1028721824; 962192451; 898417040; 237131903; 230410991; 507357429; 137767754; 206438851; 492613282; 554306609; 371934271; 826127198; 277417691; 990687766; 1019473239; 1025823405; 546035695; 78724719; 672941622; 725202277; 433257262; 508366931; 631725302; 441580845; 255616892; 863949524; 349214761; 876038626; 534758078; 972539699; 718123446; 335282880; 451893500; 571434914; 11332155; 131706788; 607993370; 835917417; 737058913; 378492340; 531813246; 552772599; 267031755; 808734368; 763947628; 127532188; 852984115; 924993343; 33293709; 302046292; 872717314; 384181645; 652236804; 986331447; 159570422; 988543031; 657210973; 38274306; 720709277; 747593319; 578584392; 160558172; 455052341; 887330945; 768185917; 795019996; 637098443; 107171261; 310768182; 967085013; 935913985; 966600034; 342550224; 275126643; 468099369; 125447370; 430597798; 864030542; 709924185; 482997196; 855063056; 324480284; 381123330; 584843523; 1008412112; 819994129; 760484239; 465912232; 1066184508; 497262000; 536214967; 525997796; 994683598; 782201236; 252793114; 793044737; 371809285; 254712402; 582536648; 662191703; 453603503; 614216259; 695963802; 269427974; 24143371; 700932593; 729065411; 320814623; 940827050; 436496938; 949685873; 704868872; 248413037; 1014270501; 117873363; 210306716; 343597363; 185492927; 44441347; 886230283; 609586104; 983340737; 841835157; 766422616; 1034371427; 568907977; 425318493; 930279528; 89869581; 1019855699; 616878651; 807790654; 812671077; 817613601; 305148280; 963727477; 965047645; 1010399505; 244221660; 203588633; 87407314; 155704710; 183449466; 814956109; 909503609; 631892417; 529110716; 546020478; 667206935; 434284211; 837447386; 698298113; 247604684; 842071417; 951027305; 973813827; 366120955; 284818172; 488831211; 931308337; 329169998; 197577474; 517545522; 564506392; 841860780; 517366834; 257160811; 158306566; 261416777; 378497288; 470857053; 372943603; 380265144; 513717316; 654957233; 1058078125; 348699964; 831636918; 463945784; 506454215; 669411782; 578680953; 464177597; 947849150; 701913558; 566701213; 934953677; 707976528; 722520799; 509381185; 136347055; 779350462; 408276624; 697574323; 256170509; 813734399; 475941606; 414258872; 414708777; 658558857; 674704974; 269729799; 268109569; 43748236; 178413956; 870407291; 928960829; 235912100; 967600434; 943106761; 252248599; 1057151129; 975773002; 16295804; 411916350; 116397835; 180221629; 386635913; 492898019; 6227985; 179424347; 527918080; 168065515; 461124875; 201308233; 690871247; 807200472; 1044793368; 815153697; 409834469; 721166634; 757676417; 690550471; 221246782; 296791746; 678298895; 992663897; 240456987; 377778512; 641607112; 755711555; 479186566; 489101788; 364347997; 293191076; 1035367694; 166225844; 582877132; 859523930; 360974086; 645950563; 754485600; 1066700480; 157509224; 427948775; 586205009; 688692516; 737276108; 913145041; 1066771382; 291391859; 1016516065; 379736870; 752384820; 263180625; 1033413354; 524582240; 94763861; 619949029; 103092073; 280983663; 706843003; 975956479; 492749566; 144865912; 290581652; 73919132; 329055657; 214842603; 505956006; 866284236; 658431862; 233552203; 720030108; 780173294; 600184090; 149732443; 180981617; 767801978; 73355179; 33220457; 783995391; 564029466; 121171944; 640970076; 799747107; 82550600; 517025054; 308725432; 60986820; 276546207; 358180612; 646204667; 977721486; 689117195; 211496659; 819002856; 1045007589; 860160253; 360561236; 700076758; 826073140; 903860980; 297254091; 21491710; 439713839; 899879389; 220516979; 409277664; 917604982; 595309114; 499808865; 57365564; 387735605; 901046256; 360516710; 775918308; 161316582; 894791768; 1031547084; 819792323; 681356214; 225298362; 180819882; 703393445; 711880586; 851198884; 710590855; 1010511092; 561727946; 472853187; 295547906; 374287969; 280360549; 623670360; 241519847; 191293426; 419415733; 732845212; 41622730; 1008228778; 35796278; 254648046; 918164137; 143001847; 476725641; 1072261856; 52631445; 1013498321; 916972192; 287992211; 814605604; 910183092; 172425134; 773428890; 890104920; 844858091; 440643964; 330596001; 454164533; 896286397; 616498929; 829296371; 403847084; 611471940; 445166903; 1029243032; 845409635; 510490222; 772055288; 264361137; 463164091; 491874831; 301991625; 345552691; 531230306; 1009224135; 329842074; 377679463; 23810620; 130054486; 524112893; 615304198; 428974494; 131090604; 603130991; 165963211; 209884673; 511378410; 736423220; 651692903; 178284896; 322275023; 183543299; 968957522; 1029829217; 801093214; 244494504; 414168051; 90217017; 210852157; 647742786; 1038998679; 943179868; 936940556; 782283808; 69543868; 734439786; 712163385; 255011133; 3313591; 678840734; 937324362; 698159542; 1070613680; 542043370; 586723144; 592669608; 7548240; 743089013; 280388415; 96978042; 84116343; 1068783619; 755287846; 818184143; 411996032; 816247577; 812999771; 467749922; 360978365; 566938983; 866559562; 297202172; 451718565; 657827239; 284731461; 137199429; 921995008; 61758378; 1030851740; 169396212; 968225692; 666327071; 350347786; 880507558; 297410040; 976736344; 636961967; 30277911; 990400321; 288207139; 386930475; 109310; 116623360; 525802793; 143360976; 990489591; 858493987; 921203826; 281457210; 105782459; 122503858; 848516940; 471266615; 637128906; 913281533; 252570890; 456212915; 644840729; 882770774; 872010895; 84464745; 139752311; 325822886; 100641921; 878543195; 870593082; 397819210; 313290253; 248830313; 379038334; 905868306; 707283561; 299935692; 903144661; 187549818; 65830142; 356183605; 358359017; 124051725; 856410213; 763812561; 520193735; 821789980; 743311857; 665292429; 175379792; 384641096; 554255302; 712335815; 62632004; 86819829; 138126782; 1005824211; 601661871; 127567082; 437018983; 425073969; 513029297; 200411921; 88944185; 271318927; 760270508; 985869145; 730509736; 1001964516; 499962719; 859095704; 113446596; 786732264; 106984792; 1034070616; 271150928; 999694292; 386946182; 588921301; 584356547; 192515087; 62085893; 711615512; 578548194; 423182228; 898584830; 1005094607; 1009802373; 150096694; 757210434; 518887415; 658341062; 276764500; 579619541; 164120460; 627389045; 407553809; 303982658; 813382638; 130184176; 929616297; 307002370; 388789750; 419846310; 505388448; 641441641; 931610985; 884550276; 707025786; 492291973; 524290317; 466679743; 160972883; 800228025; 729150777; 1041515631; 818753867; 666015506; 65850264; 208386753; 922863717; 204548582; 103327624; 796591097; 793516918; 139414351; 954756023; 684349005; 1073628117; 245973128; 345485492; 600598866; 392291053; 525341841; 288396733; 646839287; 898021818; 1057251628; 1019202385; 1024185691; 75559834; 795013465; 207986677; 19639794; 513600050; 988924830; 1033344630; 562479730; 651809049; 54337375; 534769159; 349711702; 826540474; 16607476; 970977969; 447906959; 633655968; 78532877; 1000359423; 275145484; 131413946; 655051323; 585968960; 680699890; 580874287; 82848525; 194210019; 615884124; 165366680; 890132491; 194921397; 733616302; 1057744862; 756668080; 323839655; 979951757; 101502840; 154650614; 657359055; 885358730; 892433759; 195679667; 903001302; 680027451; 481056811; 955945354; 540891723; 217709645; 567854845; 526799310; 1071324153; 773708408; 538203632; 795194533; 303414781; 557545663; 353694527; 717463822; 838058969; 671386671; 291710141; 196730104; 566536573; 1005662234; 888247561; 720645320; 938446842; 205917828; 249398505; 213288127; 88246098; 831729505; 317600772; 427463008; 151731344; 566651208; 190638145; 716617337; 794250367; 166929967; 1055461187; 815727811; 154752591; 150136083; 195143727; 773299408; 728834317; 248063265; 769121645; 666661099; 90298921; 569837177; 1020569420; 459395736; 686614735; 552523252; 661468167; 36039180; 32756565; 267346467; 1073565857; 238982136; 179113780; 863808577; 736562438; 994327183; 344354961; 791286501; 817885409; 727999761; 1012859235; 669683993; 745050079; 532185884; 143829297; 454844567; 528318491; 533336930; 1029891808; 328358062; 606941447; 1062388202; 976750685; 345565090; 864239222; 480728620; 22082881; 527541918; 454720305; 481982236; 963264619; 577047041; 1065436151; 42201932; 294783213; 460410075; 83122826; 179068434; 714581781; 901754007; 700381706; 664745621; 130552961; 793466270; 412547844; 522643171; 534130743; 718820761; 1066132062; 498268219; 721789071; 1012539721; 227090193; 239506903; 627008424; 1052060235; 950343743; 656439335; 997047557; 488428098; 665601861; 127468089; 679187528; 448469717; 343349427; 1039901118; 544238043; 327200619; 606630995; 357468777; 1052989648; 1031908660; 260385868; 526316480; 781165372; 942898705; 932833167; 799943104; 675134339; 1033700596; 364741820; 150613147; 113948438; 867584257; 262463005; 220753058; 233149985; 229659610; 607151660; 987025149; 849413035; 951523821; 132587622; 277607863; 584060854; 594547030; 358240660; 182885397; 51914118; 434434432; 482377465; 539290361; 199183597; 886341441; 403395029; 716658029; 178051930; 596389183; 594991846; 573113966; 930102523; 534682891; 504813290; 151104915; 312358505; 128420250; 542196714; 890366286; 749861048; 786170842; 1996163; 46195444; 629324170; 979957374; 68808431; 190412488; 243958526; 282834719; 889922087; 747985236; 32120930; 593625310; 844955525; 463808869; 294965837; 268919148; 2636529; 631716227; 123337753; 475566128; 962416932; 925717523; 347654095; 42762089; 37955597; 399826955; 707066363; 272669992; 683753225; 338323419; 271187062; 724403165; 907286306; 958218114; 900543285; 301851212; 924142396; 772276782; 329032049; 232062470; 268709532; 129220802; 434736960; 940791755; 422877030; 630460413; 948627791; 406437866; 922692577; 609371371; 505262817; 528248581; 963265118; 658355082; 137061295; 432780659; 670253190; 341297256; 488115966; 598406728; 690057060; 115832520; 361688964; 870754801; 655995407; 846599448; 385008542; 106192428; 348498360; 772092057; 339753668; 194339111; 926799822; 546396925; 550878575; 115535954; 62403896; 581256899; 255944854; 420878966; 885466841; 418403944; 120268020; 350503554; 622037845; 1052572957; 263356991; 42074017; 506939235; 964391654; 977231912; 359663953; 760364490; 35637915; 477198430; 1047551849; 682760396; 795000968; 843245543; 143410317; 807746853; 98604649; 533745772; 527704891; 879521136; 872463153; 146663481; 111214554; 424495880; 8147058; 414826381; 780318316; 624290964; 636551108; 214609933; 757085050; 383893825; 723093902; 599004153; 638907752; 949122412; 646641015; 349682724; 860064151; 923447287; 549870205; 229196473; 881405390; 613076408; 376972540; 884225579; 682668611; 1072353423; 64038348; 511637266; 595405195; 309087141; 736905143; 345780793; 1030707103; 142760283; 903092581; 7908740; 23092825; 356078483; 906932561; 397645086; 1011229657; 423156825; 286129883; 740793571; 238945075; 752338057; 990829509; 169835852; 230809999; 373759086; 85673862; 117518230; 138137888; 985837047; 1027925231; 79498131; 93036178; 609848691; 16978361; 345335574; 20397765; 457344305; 475447179; 4604083; 580268597; 809067443; 1014434852; 403763762; 675387965; 302405533; 499785806; 399749719; 332657734; 13160108; 78530896; 891868771; 919195334; 717360409; 221888113; 905280531; 435756738; 608182375; 306228053; 210211120; 524430464; 75996336; 790260742; 830315045; 48513789; 702294241; 518624807; 162824155; 1013340052; 61444177; 501814744; 737419260; 1030480322; 1048815969; 602424001; 528457487; 841838769; 53740976; 980230615; 13056201; 798928060; 46553433; 95544650; 1050359890; 797115623; 933798557; 253111615; 851722939; 1010319726; 966702876; 472941412; 401568844; 897492442; 866669353; 238057692; 979392157; 433335686; 860096136; 665435351; 45006927; 99695799; 429607084; 631686155; 716061699; 211134490; 25217839; 481944495; 813514380; 1009914249; 302999129; 1008094385; 118374228; 29588052; 707946241; 186590849; 825100745; 558951535; 826948751; 806104146; 488163948; 88496264; 1012690379; 827532017; 222818614; 189211777; 624224021; 943902230; 848261403; 19009322; 904442374; 967079315; 31817756; 921240328; 492490294; 472210742; 497368553; 740049812; 92838901; 880556719; 340907739; 1072494950; 534226516; 1057248469; 856051726; 552588947; 1037541534; 930826763; 298703761; 1060371845; 274058403; 708496893; 991939922; 686936681; 535062745; 879362507; 459804233; 456738861; 558895605; 655913475; 891230329; 450634403; 935785448; 790806285; 1067764338; 647950318; 558605496; 53424655; 979827203; 205598152; 240251532; 425515731; 757831493; 407609321; 53518566; 921196551; 1059620032; 552424997; 534640013; 957831928; 106121208; 689422056; 586312402; 558242340; 894734661; 845863648; 112959584; 833266564; 587430091; 278935495; 419212506; 925530329; 108283035; 405240515; 377532315; 55340311; 130799517; 392188644; 62387087; 731213279; 81410109; 821010005; 934336519; 232937256; 622651415; 304793587; 199359139; 924379459; 831107238; 196664321; 222118966; 399564935; 672093932; 428646719; 645339776; 727350209; 801061379; 812124060; 774073290; 162769241; 664595817; 876338784; 1006081550; 786888737; 752999290; 686585875; 776186746; 561634179; 107860174; 461608670; 160890301; 458387005; 649535518; 745524923; 885786166; 848357540; 97195697; 335482399; 664382596; 18185919; 619886075; 893744859; 363638727; 41773729; 825750716; 681537041; 897172053; 28270344; 514377321; 393651096; 180163990; 347496723; 1009414121; 906327419; 539023449; 975359759; 1072461977; 401831713; 956739566; 159412378; 570909257; 953865760; 233174328; 256461165; 751220143; 204865076; 665074145; 365435309; 62582983; 244294912; 543176972; 779836501; 690781993; 16886720; 314154844; 1040035659; 521939578; 450061982; 829859694; 891478460; 824674649; 1032595903; 287100365; 1069241089; 176522595; 51829251; 453269844; 971217551; 712244822; 651823724; 812032264; 862018641; 936812345; 829219921; 483698670; 721002407; 306419420; 1059374974; 11595025; 511817534; 992457377; 950926586; 652807767; 142434501; 311645272; 175733707; 144409235; 810106760; 784521710; 370307838; 469247758; 378812268; 620803029; 396934898; 298884061; 129363002; 689800058; 588853991; 667341546; 1013792966; 501747059; 556897580; 909737974; 163574633; 373854037; 40447312; 198369812; 426704810; 866294179; 677434613; 495065549; 990915083; 674414294; 536302706; 157653029; 689770802; 610130383; 888950721; 310443817; 320501103; 167463148; 440684174; 592684001; 67929257; 41666994; 184198199; 5500646; 504897568; 576613527; 515019936; 53864954; 83525272; 866669554; 16361878; 582718318; 440922622; 901235537; 992886471; 738379237; 290831365; 557302473; 661800107; 158526091; 6979642; 375273778; 937404530; 895897854; 79677743; 150799418; 286704947; 147685920; 604586395; 410240680; 653122600; 188547410; 214235188; 758921802; 250243089; 87051747; 331094406; 246053439; 517976651; 471765178; 518488353; 825954043; 664343630; 2860567; 825394615; 490554924; 715052245; 687962838; 180031395; 434404122; 587470841; 715101593; 197481800; 139132933; 1044193193; 509610414; 3876738; 332156577; 422466192; 560253517; 732859167; 619864345; 332741547; 448893532; 712423227; 72492611; 24993829; 530474229; 924692594; 31911672; 114338655; 613853144; 344768464; 268385322; 767877644; 294985480; 59329604; 228725386; 543157447; 496028043; 1009537382; 83952177; 870935751; 612120526; 428616137; 335272143; 994853580; 414244076; 1006353201; 145936169; 79892536; 1018929467; 983552471; 827490827; 169403857; 8818888; 295276842; 986887683; 840712506; 458934443; 351004011; 86831405; 59451037; 105502014; 134524970; 865090023; 15473131; 817128722; 68027467; 154700131; 539210256; 714935834; 550233371; 114763804; 706331631; 58325648; 870297661; 590381650; 97936386; 296601653; 505381320; 625772601; 892215201; 83213808; 614746051; 234052329; 576066767; 494557220; 423435004; 608661196; 981812199; 921821441; 375976846; 1044209016; 656639752; 116468801; 1071047480; 181682411; 395687985; 388987015; 591989775; 651292450; 272321940; 39716444; 286889026; 758895107; 885556032; 711037654; 528758644; 263512899; 288026782; 815664180; 822336265; 100729114; 126410364; 288641045; 148439361; 916045762; 120251045; 33655981; 493579839; 834775171; 208137849; 844564606; 41193025; 398869231; 64381550; 740968626; 772823457; 707263050; 727317711; 250438489; 324903893; 625923093; 78277429; 151623209; 901521515; 759184682; 681595073; 178299445; 181963941; 433581378; 734599010; 1000508596; 651751379; 256676897; 383407048; 699425990; 852985621; 848535960; 422305948; 417310764; 215448235; 207837665; 562628048; 376216288; 918358153; 224650312; 336413609; 699842143; 725765647; 935712002; 429094938; 683308935; 570816842; 874066004; 860143098; 417961000; 533344728; 498517668; 615036258; 76394003; 261526617; 520056280; 803221836; 180955101; 380248742; 857685518; 998575079; 650068791; 422892892; 758541311; 202875679; 779882293; 202770684; 9478768; 32809104; 450455799; 219233846; 541565562; 957527206; 33696035; 434750789; 1022412218; 566883659; 657276131; 751269895; 74217654; 398825161; 231380877; 232586904; 136029033; 877207842; 2313843; 9043419; 614332311; 532211329; 867965553; 536818400; 579268186; 592713481; 329083386; 800272748; 94035072; 830547732; 597222071; 64714711; 541022615; 92457404; 321022373; 24618442; 845622444; 374162718; 462726091; 462905195; 826329290; 996175741; 474656757; 585393623; 287252606; 479038235; 580636050; 433304398; 237047002; 95310117; 822045202; 56459236; 658508613; 870299969; 385729189; 436426661; 146182506; 1015016455; 756968509; 500620868; 572361510; 156952343; 885954712; 178333234; 99050380; 753038518; 605380122; 542719535; 971122464; 910887417; 606233915; 574125932; 258045542; 582539253; 640018827; 25150269; 324685150; 878680754; 967429090; 223633359; 70647528; 473202998; 135729; 165424750; 52274754; 228988735; 142076720; 1016454665; 775916486; 813852184; 760271941; 252791498; 973843507; 849829028; 473916863; 398631904; 39732935; 319652885; 610541926; 922095572; 744858866; 850354409; 378695462; 340657450; 995202096; 832346941; 752868886; 1010841965; 618607962; 795426231; 464231868; 311317744; 833595151; 266389143; 943078190; 686578993; 1034033620; 1042504075; 479396195; 421688947; 550751674; 210365397; 418279920; 1057084050; 622192267; 361851251; 825735728; 54965257; 1064401504; 987916221; 701770102; 354160020; 198204741; 561996155; 861784132; 293660709; 1009554760; 752729209; 512729254; 310097764; 811016628; 543267935; 378557070; 274364426; 837703518; 418922285; 831852476; 27019082; 624285421; 507078254; 747373410; 883118189; 577618156; 906070036; 431736026; 210004788; 775295832; 321499073; 552407773; 90322696; 259765273; 782845653; 630500548; 817445041; 55813541; 742337193; 196626295; 484587134; 1059454927; 929149339; 273868627; 161080469; 330215643; 907564333; 334575083; 272198285; 540173748; 994378561; 279128749; 186666345; 772308742; 1018912721; 977803723; 779158458; 143226602; 276245496; 509764834; 361042748; 807551168; 210311116; 86622714; 978447549; 510215220; 75834389; 969675660; 402218036; 250806682; 280635073; 290050206; 1051985256; 448316370; 260618061; 539978924; 1036261721; 634612263; 445071731; 507579226; 728917721; 12653536; 572016724; 132775594; 236490131; 920926968; 384109842; 873090170; 308182429; 467556728; 547134527; 740700672; 812227852; 784553922; 470004963; 718022808; 1062076254; 1061035098; 1048622791; 785844359; 1000372293; 613706402; 679917730; 118039606; 646232160; 520756806; 381924597; 116283966; 912074926; 426513640; 41655989; 228609745; 2847758; 389664119; 9507157; 180950835; 223852925; 247874247; 242879968; 793399031; 283195639; 575112195; 894967598; 577187123; 115258974; 214387728; 954244906; 887574699; 325803223; 16319647; 531127976; 297991915; 551612876; 872658482; 368401739; 264870729; 262517056; 1041177569; 432523576; 563146579; 538040758; 288643892; 871585889; 873514321; 415269781; 463906662; 743252800; 864789328; 992367923; 493786203; 271540386; 832235319; 164796177; 1004510777; 559789782; 560435896; 56874583; 826398172; 707496136; 544474342; 25807928; 500861740; 523533724; 379297621; 420627524; 932582351; 1314125; 1065269351; 98773626; 299754284; 341695026; 427475248; 41597306; 306601666; 900470117; 22801036; 758269154; 268668114; 1070800038; 223660866; 1035965720; 997162510; 975345660; 1035605186; 845512800; 1001648838; 470035098; 866374885; 1013187216; 53005398; 360521328; 526883847; 175011678; 435692992; 180500008; 791702707; 217349238; 114796147; 613714227; 378216801; 138714464; 57841709; 131335382; 935073265; 6612018; 1064627323; 142958815; 123636354; 331726925; 440182772; 142261092; 274732570; 1017125307; 337072713; 555039442; 75546422; 266852114; 720766092; 647393314; 204273432; 365846463; 626897148; 288216291; 404127147; 281895505; 571359864; 1058073801; 607413940; 2763260; 228875178; 613292359; 803248249; 481850231; 794189167; 111410727; 489243028; 197032864; 376324030; 861033676; 964752212; 61436062; 562290383; 1070740499; 518710904; 433703776; 411981703; 816258735; 782330880; 521338812; 480897636; 958615502; 31535107; 877078885; 22468319; 885341977; 775270348; 713241253; 370344276; 595827015; 908459536; 194718189; 923223562; 187386259; 313618593; 956200247; 408393049; 146718615; 181802489; 586324969; 960389728; 787532223; 751794313; 485677910; 241856947; 933184816; 913010298; 575580691; 819136326; 143127968; 191866572; 872915480; 794974941; 6918488; 618231260; 1030363375; 494652631; 188484738; 902182113; 998525043; 361813652; 1005697654; 816733956; 27895603; 677183704; 418919191; 586417860; 340891566; 341875407; 406497819; 623214201; 710063677; 8949828; 71129053; 1047825267; 354570568; 594749553; 118917229; 422761121; 511046254; 437617837; 153594147; 673873180; 601879064; 438040335; 729940053; 705548930; 443147508; 553686612; 71756117; 892829142; 589754028; 90088560; 300798987; 652336435; 542098416; 215468273; 22353695; 916544624; 128538661; 227951885; 818279807; 1032879068; 338921816; 956121748; 822158048; 657719492; 309992115; 902363447; 184609918; 582173284; 816697102; 969781628; 5192688; 123614576; 45916953; 3631456; 199512375; 613034975; 868779758; 714138516; 140899805; 1047098353; 925305554; 781856048; 761722119; 338793416; 82066713; 52109727; 1033519242; 151224736; 493844425; 385187882; 172750752; 590765027; 376222006; 683385352; 597490591; 854728677; 932699817; 53251848; 17480822; 791463256; 397122657; 55763261; 559420417; 290557581; 859023171; 380072066; 244062776; 995818944; 717510608; 344439157; 160118649; 335119899; 957557098; 278078914; 818890217; 210112132; 860066145; 21908088; 1022449738; 870796794; 388426805; 348624864; 415754568; 472951782; 942674023; 650062247; 795014187; 348596402; 663821311; 716199824; 810705926; 318859119; 915096277; 587514375; 504148904; 525073134; 319353098; 537939571; 1052761948; 780353749; 129857080; 44876119; 329944765; 541376857; 949234607; 902399829; 48423479; 824735212; 444734547; 185961465; 877607949; 838796390; 607162314; 354844421; 442133754; 389933464; 526514533; 363209286; 642470906; 904780393; 168222751; 925274832; 260990152; 545639925; 191214288; 1022946738; 526112957; 1024351748; 606626657; 376285389; 770168843; 1051238803; 77369953; 61440334; 118274380; 927047655; 725985030; 572230287; 41606049; 952558292; 809401103; 688732788; 350458861; 681993854; 449985972; 1059719944; 772819427; 978728326; 870962549; 53769037; 75984209; 127048940; 835082324; 861583359; 953644524; 594249192; 680535255; 284389258; 643701983; 806798349; 51098525; 740905880; 979592913; 542273257; 88416453; 682944660; 669224660; 788928625; 146244679; 605050363; 311401419; 634174052; 857402835; 13057854; 314343701; 909538503; 406997481; 1036118585; 819328661; 200037894; 130496817; 186930720; 483891921; 462442191; 390884990; 806597920; 984836298; 709974476; 10676360; 662521076; 1014003243; 127367935; 923994908; 960365945; 441804496; 1031414522; 999070147; 438899785; 948021535; 547179533; 113868446; 248525097; 713071072; 757636522; 15700230; 1036945799; 119365334; 165671991; 49299471; 66109682; 23560331; 799264365; 594764137; 118748282; 454924060; 516301655; 873453753; 385105005; 865649286; 177697276; 920292861; 258414188; 726263496; 560870343; 473319231; 263939152; 76014155; 190869136; 264146785; 454190459; 375663914; 347963954; 344865868; 773501933; 220651420; 297403271; 673717807; 1013176458; 724215936; 372801263; 358087092; 776742712; 1058700430; 81501321; 583431539; 152083852; 843721595; 750200055; 1054447444; 733255434; 1040175849; 498097034; 1014746988; 542217156; 117061495; 420063861; 856899844; 439805485; 194257529; 129949038; 212473733; 338247319; 588153588; 926833221; 554098425; 397956499; 235734926; 657192502; 645095322; 816613135; 67173931; 397271627; 765197628; 587108006; 387693113; 810747016; 525695584; 369804045; 392119088; 915837043; 639300441; 1020853558; 716146427; 102685563; 891150516; 474919050; 57131155; 363499229; 587061880; 306242730; 969636043; 997763326; 851716044; 264242086; 429099242; 710577301; 649720974; 528602189; 316972505; 129502632; 551876225; 123299657; 369220595; 1010823538; 491568655; 736062609; 195747042; 736203367; 71930010; 585100187; 820478170; 993192725; 250401652; 567047521; 171027556; 552493629; 330992707; 1045086842; 991414793; 150030261; 619309560; 532630344; 182648342; 856746218; 456488458; 680994045; 819073033; 783756803; 559641531; 1029129589; 355064490; 370810057; 50181768; 77283620; 316579935; 895123351; 816640434; 407491076; 899669277; 471977324; 775731857; 1039182264; 705203174; 228944660; 433863820; 488257365; 473748327; 707211554; 629284098; 133205873; 659365709; 441718247; 477323098; 601518139; 494616480; 369285324; 456325410; 849991109; 777378922; 451423325; 449129417; 797745935; 415805615; 492604378; 752228477; 477831967; 469090389; 911804757; 115220805; 597941277; 677569970; 277013087; 897580004; 13335669; 163642122; 151412788; 587755593; 896256626; 12581113; 135031832; 570299703; 366856894; 813468039; 270035674; 578232420; 308340048; 400763668; 525106275; 440026705; 976771497; 110727482; 287039687; 32011625; 169915556; 615258245; 108816429; 500987801; 189428558; 148505428; 548518290; 404571043; 725614945; 471855247; 753195106; 797985317; 820868760; 60279239; 578351357; 442537487; 10873333; 379342992; 1032678423; 512830279; 509938780; 66308590; 1032699490; 358390841; 941997202; 991022284; 578739973; 51063178; 158490623; 485873406; 13677282; 84053411; 491749343; 872877084; 141671117; 446899093; 574972444; 401193089; 202237284; 85572127; 894190290; 528318386; 777659257; 162933646; 902666590; 174122813; 724238672; 895622908; 833462282; 831254668; 910467446; 1062351332; 950549183; 958276886; 284222742; 766276267; 813665390; 651122829; 498784900; 445485667; 182010872; 835025583; 804268990; 494577246; 951065975; 316189238; 352753553; 231642811; 973115812; 1018230692; 685839852; 28700654; 30664279; 61401086; 1012374729; 856777585; 87363236; 560802121; 969350537; 56801371; 749261128; 280484048; 489912067; 206883324; 814952091; 328496321; 628325673; 974575820; 948121956; 409662600; 13097171; 59009811; 1043707919; 269081810; 453146346; 744467452; 522509775; 907006043; 704125869; 451150293; 338231689; 111833111; 60910332; 69635868; 85434819; 406655251; 924620898; 416294742; 1018024684; 889345850; 206824078; 234112686; 380647510; 306334136; 49905622; 1012251358; 693747269; 823847535; 291857881; 119545819; 817720970; 617390643; 642623688; 354905795; 505420588; 612947673; 79996285; 129631581; 463442055; 457850285; 344796535; 67734223; 605489534; 484477981; 823096384; 882495678; 47948057; 922927477; 625610435; 920918546; 589295760; 869702302; 442765170; 132195639; 407631919; 630057057; 395506894; 520760994; 931344732; 758724949; 795422910; 91096274; 465070638; 77350458; 654278062; 744000098; 959160259; 999832533; 886686873; 228038211; 206893882; 896468651; 1022371131; 244850545; 725627853; 478089901; 755353093; 759552967; 180416592; 120073710; 450584506; 791175834; 727637414; 213670677; 217291077; 141726293; 563223618; 945610751; 604035873; 1021124783; 933762695; 446179894; 677002169; 101752876; 138050808; 399804550; 344773589; 480459522; 100694697; 369610559; 873187240; 1052959623; 1008651813; 931391053; 134784677; 845757169; 898756852; 941271772; 740856315; 991503832; 90731910; 289773054; 125915841; 856508218; 718844298; 930706587; 131195709; 603220201; 1069449961; 373775132; 520560807; 362307398; 285403518; 276276105; 922339580; 936695720; 308534382; 354187492; 991675718; 759577426; 414194621; 592307618; 889948507; 532623304; 902721969; 211953746; 810459766; 617833109; 392777331; 969921968; 1038837501; 402322449; 838073834; 980133960; 1020457370; 165938437; 115696130; 916865595; 775634751; 526956591; 666478304; 961372487; 290418675; 905402435; 772682956; 674049018; 952225795; 475340773; 263341646; 288033955; 541975173; 824663375; 923139797; 139013945; 721457465; 954916991; 151602948; 58787401; 661439233; 831935719; 215661465; 468685506; 154391824; 568117258; 530149094; 56785240; 907689356; 332689907; 1025248457; 553672653; 904333679; 190776847; 471984118; 634395868; 683967051; 1052077858; 525424379; 356439551; 1015952313; 349987009; 1072327892; 868816402; 755314555; 853410875; 828501353; 1050801284; 859460042; 340842439; 748790706; 152222132; 238060600; 757325831; 17591412; 515742911; 61203335; 526301609; 89397200; 211070595; 841689364; 9191289; 896750871; 850265574; 470960520; 178963219; 107642000; 1000636834; 1025436959; 293467997; 570317770; 406593844; 980295021; 454953263; 179427432; 288241445; 388200622; 847564726; 670907358; 395861917; 816511657; 29935092; 813153980; 332816881; 941896987; 256656440; 1028816582; 43801639; 652619565; 64755337; 651385780; 240760184; 636658868; 36055100; 329027494; 954250750; 912509562; 624999703; 475411862; 699677673; 429356676; 101905024; 953453571; 194239068; 946347607; 132533534; 183992937; 359718317; 799627908; 742767190; 206432502; 364282651; 545950342; 567868136; 192346730; 96511999; 96444589; 22788230; 33357257; 606052462; 961714000; 198269358; 95918443; 68233707; 340467386; 832466067; 395794568; 587664922; 1071718891; 145269070; 150910723; 225097269; 346141555; 910055681; 390193083; 932072734; 884881284; 794465669; 144780429; 917137930; 759615616; 382713951; 948393660; 70194974; 817893210; 8332195; 30097250; 787658886; 388671524; 329346967; 591823585; 227529301; 857779638; 954638806; 3408467; 371438413; 167316504; 617745318; 783869880; 351252595; 857471496; 491140002; 1034388107; 413605708; 417260705; 215286745; 444973604; 67365678; 612893158; 53076088; 726358029; 354960454; 812484437; 63884701; 614408993; 747896537; 902854426; 623627406; 39568839; 451591173; 476453590; 906739738; 1058701092; 741962031; 643762721; 172148421; 716157736; 600561389; 488637177; 140316190; 150462684; 662730657; 248185574; 882867365; 436359060; 416442378; 325734000; 578984064; 937832245; 751929832; 613971396; 65199105; 815912838; 981150688; 686477722; 495213882; 929116745; 476777943; 763602187; 520111243; 76762845; 240749203; 546837592; 567845529; 24733509; 782079271; 173775853; 660515202; 584482609; 10476007; 868216476; 454410918; 630654372; 107923591; 536943871; 321039784; 102245868; 509497796; 315770919; 849928187; 610125440; 400362297; 28250056; 510007377; 839005579; 453301271; 831416350; 763414220; 403502209; 54231933; 53230694; 257880423; 301462433; 420025656; 918178144; 197873403; 155866280; 388379926; 706961325; 54316078; 11643912; 591131900; 692435982; 867863129; 843216723; 118794307; 430532487; 295165465; 798453935; 655868806; 502637168; 749500597; 739356219; 682455615; 736867783; 904064551; 523001484; 885173032; 1052267478; 167380338; 438332244; 982719815; 937637375; 828445563; 686748158; 401436821; 683081349; 969489804; 718436481; 130641716; 541889441; 338397087; 850659769; 390269059; 882969379; 254446562; 973520986; 269235210; 356528010; 375423007; 282453358; 640652539; 1019350360; 360666814; 292326505; 589374726; 215488057; 643776382; 938047087; 809525911; 939945779; 892905196; 62340568; 1013012701; 472042784; 11604779; 506301967; 16388954; 910218882; 641140314; 497475357; 352062141; 337083153; 310214831; 302176151; 502896379; 846493709; 165802571; 414575463; 315571449; 711338407; 768764294; 840565562; 960842220; 908187758; 319604654; 303714985; 716722865; 720922741; 776495596; 802460929; 309293563; 803606893; 403053808; 720720248; 846015701; 452284029; 835527138; 420737989; 275125105; 501137961; 1002907473; 451870509; 219742622; 443807714; 101605027; 1050583440; 746268241; 652369887; 436256729; 771542382; 117455978; 43888925; 990153153; 188947476; 865067453; 422238936; 840749157; 1022642121; 418627112; 96437366; 864729628; 483605023; 67398886; 29652858; 406680855; 707281040; 676625072; 943021028; 993643738; 462764476; 30627614; 689885418; 841809328; 135118748; 348978672; 734701050; 303810730; 591009930; 725235224; 597875041; 818850500; 540515805; 916545435; 227031998; 320302397; 104507814; 642247457; 30846486; 715997872; 1049580820; 453235631; 415725573; 608236409; 589624252; 262139660; 38105398; 467467385; 508225502; 91553645; 236721260; 137460994; 830736817; 901506318; 739127306; 86553333; 65114752; 86626733; 7643008; 607784879; 425790671; 1018477579; 60700195; 300954335; 1031838209; 150938595; 389871681; 873496338; 177473489; 226247467; 620593373; 915138190; 924634564; 694258344; 325507606; 318360748; 432394199; 655549337; 286716760; 266881659; 998089514; 954304955; 1012304697; 272547653; 726965370; 349810825; 517859324; 509180226; 994571758; 652906999; 415302742; 367658955; 361486980; 396413151; 251603830; 296294111; 601941380; 958948621; 360446833; 452639791; 656186424; 119230722; 386675274; 1060875541; 2698941; 865577916; 477181000; 742188434; 484234718; 959786754; 33091086; 841679334; 84931309; 1002656365; 803423674; 504748668; 13647358; 256847720; 498018194; 408351265; 842116101; 459059186; 362797484; 398881144; 220556440; 538073507; 587162273; 174295644; 972455493; 982488207; 792089160; 627714289; 133222882; 798757817; 30790366; 742779154; 522083130; 23488990; 922183691; 122480921; 646920442; 467172879; 551397701; 986538915; 650262501; 96233982; 582324464; 952353747; 37407858; 861831458; 712167124; 630408396; 251440646; 982407260; 356219153; 500394080; 571346218; 682322833; 705460051; 800918885; 736860091; 471347562; 456778929; 45251205; 291677176; 759940879; 550596960; 167255823; 188731293; 755792724; 1057852995; 262818510; 35896363; 32465204; 224174570; 342112272; 362616889; 829578027; 213906508; 755727216; 642396821; 411519850; 461837843; 64418109; 99836171; 798930105; 369167375; 480521392; 360774537; 859122986; 439412424; 406703737; 655153423; 164930937; 1025460162; 732729271; 1034520322; 350796141; 418687082; 15474397; 45333437; 165419547; 465639275; 493051771; 1026201058; 664119812; 186781234; 673722414; 738731572; 12640525; 288734885; 202293449; 122276039; 76556572; 705699804; 831664162; 73760561; 448664436; 242766411; 936730943; 5915800; 676024325; 35839235; 437055318; 262870897; 1022251257; 78279384; 571379529; 178253026; 423103355; 414666377; 745857563; 1003381528; 587191100; 907067641; 895979045; 791830809; 118679860; 561582381; 747269435; 183971994; 454468949; 215214752; 445274592; 171187793; 976606842; 10673932; 112933860; 72990349; 962882791; 747546068; 954040588; 879088419; 1011852220; 909191853; 386392434; 258256492; 640517545; 706870884; 213107328; 758413901; 292509243; 676190917; 569217964; 547050059; 277457258; 68195377; 887301237; 590037909; 958673126; 122686475; 982744096; 577243028; 180026652; 674221274; 84851974; 789202956; 99416714; 306782161; 500626673; 336361316; 569598374; 287352428; 59566882; 1006594844; 463436059; 880178995; 928162534; 119738340; 506688821; 32690852; 283439698; 563718146; 198656479; 756725298; 1001269751; 52805478; 655946005; 92732841; 800450823; 648640175; 32138504; 526787565; 219238453; 883197813; 670802512; 125652357; 131901266; 615415629; 102721282; 806098050; 525447135; 776101496; 611714453; 313292932; 548544420; 634327714; 39326602; 444342288; 113269214; 838667064; 281989511; 83018360; 880561399; 733672150; 25993391; 210268293; 717785182; 986966211; 31072808; 646209402; 859731742; 166355921; 435943835; 869783475; 772107576; 412786099; 566994595; 430860579; 840892871; 85122111; 723208170; 787656113; 522639888; 919340515; 764651773; 36772341; 577577303; 771362216; 172733187; 32920412; 1044082061; 283891417; 24465350; 440839222; 692317536; 131836699; 683278119; 143936105; 92196316; 727005492; 641288719; 59150971; 944865030; 451973742; 899417509; 523771666; 339117607; 856807870; 292371503; 1040997633; 517445643; 1027693690; 869479094; 261615927; 928674344; 896888160; 41744499; 436328021; 975139640; 1062404453; 749622063; 624580859; 673935489; 311930761; 102149958; 547722969; 556583039; 748257163; 586034192; 391856306; 612816428; 337169100; 61703144; 347440537; 132508357; 762980676; 605054533; 970467683; 538625975; 953390332; 385665359; 96961306; 306561402; 807986422; 764486056; 854584046; 652265032; 179219119; 517198351; 892276122; 359830019; 241427543; 524379374; 935225025; 917754138; 905390740; 1011587423; 876548327; 545573203; 889263675; 998476332; 917001730; 791275904; 361333521; 776336131; 587764698; 447587036; 460838192; 215925623; 883451227; 993995511; 130961553; 878437199; 261782867; 832040987; 983521443; 235656114; 681025723; 9674888; 968189290; 505081185; 763644356; 110248325; 1022303229; 649606777; 776211159; 662745440; 7400382; 416006389; 793674429; 495361724; 1069889611; 820377799; 943383818; 363735529; 939416547; 440465914; 369589524; 779668041; 644468299; 494171784; 913188346; 923200016; 1032147292; 185954574; 1060320254; 108370720; 856583888; 305886758; 634359378; 423704192; 587134625; 312646396; 779344389; 689135574; 802361957; 408395002; 890965868; 1039918720; 149778630; 252194850; 404300450; 489336202; 241116803; 121927241; 17573605; 133402725; 720677444; 191157440; 709058072; 697389361; 228794306; 443293955; 306018777; 309546324; 647378798; 507521008; 749772085; 14752051; 874059750; 633281930; 404698503; 315916885; 736116442; 1397309; 321347307; 283627209; 808779481; 499569336; 304167135; 191427362; 518102401; 758453808; 736122685; 44238922; 620116299; 576311234; 375225981; 521816264; 92159533; 179584950; 114563120; 450780849; 838409732; 136717440; 575659492; 160325595; 152758023; 670635884; 365767653; 967632874; 133267832; 907710353; 34815765; 232036891; 468828246; 120469702; 856781823; 128685585; 93390517; 104912629; 896984050; 793304857; 758704588; 651461591; 118461305; 107531854; 47139402; 131915166; 1007950214; 872418436; 186490344; 28191495; 172649982; 476109183; 4627802; 677010033; 885022966; 747302651; 544410129; 1002897637; 990265147; 29209452; 928175481; 313892744; 566629849; 721571547; 812199439; 484782951; 202053239; 559046761; 364329945; 373095163; 586556253; 633541815; 314648303; 876510675; 881501424; 781431853; 234205939; 15425129; 42586823; 420835539; 163098095; 714949668; 248844583; 770966934; 538582034; 340252364; 700310437; 759645131; 1007432402; 134762804; 942175346; 631082794; 898579734; 200826777; 734888223; 356042457; 413038641; 907837970; 101761808; 1032845490; 265813292; 250313862; 715990117; 151780140; 224320259; 184898732; 651186438; 30450121; 857390022; 492787761; 958645755; 582402557; 482730433; 343796753; 534508620; 1009839909; 224371375; 148790463; 636467111; 335910551; 737709848; 76990000; 173957230; 302878939; 89523707; 556950607; 238863789; 326012784; 227730266; 1053098055; 836464407; 366256671; 531058025; 890250828; 685771081; 359669099; 452299903; 121220997; 35503771; 1050802392; 151407101; 63867359; 508405906; 234412180; 982622312; 552993972; 1066265717; 935801903; 738815108; 80736305; 464372457; 235098342; 199787594; 332981573; 815042208; 574686873; 199143046; 674926346; 655554166; 822089798; 661786320; 408241945; 25927493; 1072324030; 229280121; 55671753; 619846178; 1056674842; 825719229; 948200838; 975202313; 307869770; 1069709183; 536796719; 200806251; 992040300; 560406427; 81489465; 167273001; 812960851; 50490346; 510241590; 200766034; 641510854; 297268745; 1003480054; 62251819; 713095797; 1017648557; 53212533; 260494505; 172338641; 582916074; 233565819; 1033367274; 433517016; 408958005; 19958091; 475063185; 746303741; 491760673; 38575186; 955594319; 106663337; 790010344; 1024984357; 834710014; 96214049; 847642675; 210207120; 133606623; 286286430; 113248008; 658088949; 112192692; 646915765; 1005989165; 523640589; 503614343; 641819223; 522117163; 824064633; 1070502885; 474698844; 998808691; 1006423912; 788653537; 1045235200; 560219423; 1025794797; 944271284; 335422394; 257485338; 654486560; 470547359; 833018504; 78144475; 866974032; 423484214; 270904835; 840204316; 695285374; 549676133; 1009781869; 1045953837; 569808440; 866840311; 715064368; 842763906; 40317305; 967917888; 110012579; 751028136; 18618578; 826454064; 907218561; 574618404; 197852925; 807042335; 977521678; 353512075; 881666402; 61126330; 59978607; 125859731; 968567157; 359209602; 471424703; 941424790; 240818046; 669116137; 35278350; 428856767; 877915559; 657532580; 156474236; 536477398; 943091447; 918146117; 143550355; 338480636; 561831856; 424247484; 918597899; 66480583; 461752904; 88943779; 649831777; 364410676; 865949457; 1046502943; 52556322; 760951080; 742634343; 751098803; 502277955; 449155918; 1006604967; 877753834; 733250663; 398039003; 608219105; 21254236; 143661014; 625487344; 53586285; 820544747; 657722535; 593638923; 130317567; 409929383; 845371222; 311137437; 939772470; 838448753; 694137131; 749631627; 117903515; 349666484; 53954024; 456990678; 840095363; 530827712; 820615578; 93421516; 430479463; 195260059; 724911319; 368027810; 707092354; 167168108; 759520058; 631412895; 798398374; 1023442672; 395253037; 101758984; 70881300; 998578071; 856805018; 681180329; 936678968; 853731135; 189147913; 859179281; 23535991; 382270862; 191475361; 117182309; 356637954; 588923736; 199715147; 332475811; 320962113; 648017079; 160662574; 54216204; 850749178; 12652393; 1067290496; 999831371; 1072492253; 399048523; 715445675; 1012094119; 931929204; 274780498; 607651056; 471957818; 377439230; 149235488; 536587520; 680161306; 1070274531; 919497670; 570028239; 390012866; 619417885; 1047344137; 959640409; 510277040; 516792016; 560477308; 1044884962; 159805654; 921033131; 271932686; 100466706; 497350244; 883028710; 474650978; 302300344; 250921213; 171410563; 101893043; 569605974; 242327391; 538768584; 965718326; 374103731; 436342109; 316994986; 244091561; 678121220; 97755217; 94243901; 349987177; 35516558; 418325351; 94312792; 598101883; 515411543; 266553572; 419295955; 940692012; 104108160; 472046301; 612923098; 411853889; 645874213; 1032419153; 378508629; 101753644; 335492267; 563024127; 104458510; 246636713; 21570355; 646816546; 365778649; 82521496; 641977460; 651355698; 109468422; 586307248; 557535489; 397728323; 60692040; 196335040; 644985508; 321956980; 1054972509; 584801755; 73906006; 327028804; 30899737; 717554433; 345700662; 715852188; 69880295; 376610088; 994593912; 823971684; 3801171; 876989055; 330529958; 273700799; 379968342; 906640180; 1067912105; 507223473; 541389825; 777676274; 185132381; 482390373; 800321493; 290575182; 318259132; 748078640; 419583900; 399681306; 400448725; 155723409; 194151988; 88259104; 522169758; 669489792; 510744028; 145798140; 125814904; 511665221; 107474103; 49098684; 815247583; 76948161; 919271267; 765492007; 303104862; 85428579; 158914198; 617861428; 660102658; 1051718098; 129764684; 63937766; 504082028; 190208160; 940001648; 513204598; 206964489; 577981023; 694858401; 790046946; 209572850; 235917297; 157894014; 945954559; 179844131; 783450070; 781413340; 853948263; 727431684; 973989320; 466110151; 203482918; 9654341; 684056219; 968532004; 582543604; 507345894; 1018346310; 412646274; 917638003; 1006600314; 834878656; 120579126; 104615901; 235613304; 54907791; 238228602; 36931501; 388740233; 706637113; 849105929; 966182037; 853398076; 698483092; 310988510; 381112500; 120811789; 707682875; 967970737; 912539611; 244217900; 688721550; 628884092; 804444801; 949669710; 322732089; 1007502114; 826054369; 945894031; 991402470; 549866451; 75202848; 881609288; 163127999; 1039072504; 1037054369; 998480462; 1048024399; 315561466; 1024845138; 328493402; 150283453; 246014043; 56039323; 700735817; 538741465; 483158636; 1016659448; 1058820839; 330014352; 521397031; 62049443; 810792498; 716223716; 272675704; 649801; 430254423; 455553972; 200116822; 235999348; 25133807; 285082751; 539073690; 873894892; 573249991; 688059128; 740874505; 580420277; 713177104; 585311972; 207150411; 862010531; 575310564; 944736054; 902679090; 31248880; 1065174607; 421262462; 1002084597; 792172555; 37457195; 502016955; 569494395; 74232468; 240755784; 539022449; 131700778; 96068614; 3714656; 461154064; 956607119; 372411010; 528585489; 494372823; 201456768; 492846151; 358740310; 501462209; 265040290; 548171797; 483014173; 172848804; 560683529; 104789980; 1002734220; 347929282; 521280605; 831131685; 694776548; 886420025; 630658350; 178016073; 145390939; 550416431; 391323964; 1037255386; 236237451; 466199747; 148418377; 210276189; 388541541; 354569148; 201947687; 955747337; 562728380; 478250834; 994472010; 959880741; 180990269; 409930984; 1044197448; 334533554; 335194501; 342761583; 451381577; 227423245; 929802613; 254953750; 471121322; 497004098; 432795953; 461455254; 459765012; 23104527; 327139909; 169438645; 674830193; 816311760; 153532131; 809196258; 573477429; 968064112; 763389031; 355809542; 952100243; 902034705; 647905328; 946891441; 637697954; 382408905; 887162255; 397566284; 103680236; 418343518; 1057354513; 658721305; 382089681; 406756408; 461706692; 86204967; 872202173; 52086222; 307749959; 153143657; 312074062; 651455476; 612969672; 834661899; 1045056525; 854547233; 221976109; 516518670; 896294513; 289062728; 441146019; 445456092; 861340425; 999616849; 120810965; 1032297910; 377967004; 645208848; 88150910; 835256811; 843264970; 900584662; 142024144; 722991729; 3993762; 774785606; 568967833; 654789387; 788510505; 502750993; 635183012; 828155490; 268311769; 590536799; 1029291109; 847949916; 600368055; 885727314; 906807883; 941916102; 990199625; 678453470; 617714286; 660529491; 788863420; 931287101; 407180126; 406773419; 427180824; 557437660; 454278598; 588994061; 286323002; 295770515; 674659513; 135433806; 311158436; 352630488; 278823066; 613506096; 148719177; 916557835; 653077063; 945417028; 260909092; 371938064; 146419505; 849067508; 326080378; 1023407421; 40231489; 899389026; 992014844; 662730603; 924840747; 857172376; 870428614; 571898097; 1020644774; 546735603; 622267600; 376314484; 1038643781; 456381031; 874588345; 333219383; 1059672956; 586522572; 176789204; 622076392; 600394153; 1029128850; 58326500; 178482016; 66317531; 260498372; 751281311; 297319076; 169147639; 448269785; 35488506; 944846151; 225336124; 784692712; 1027435887; 176078884; 469081632; 34330211; 194158320; 760775097; 79254566; 924474586; 852430228; 276168149; 66439000; 1048736140; 1002337265; 42573436; 110365390; 1043798371; 124435463; 555044016; 584640871; 995226562; 954391602; 858457155; 580901694; 121082705; 238386891; 236201708; 710359001; 32700916; 559420297; 483877482; 240813321; 750224; 593496344; 389744362; 515818693; 742370591; 291983969; 516103586; 749534692; 15719670; 969745429; 664115170; 998949669; 603947732; 1011081396; 711683230; 39685862; 390240124; 798116625; 56467389; 396532214; 256542719; 1041246004; 955565115; 750279288; 503089916; 954687056; 395812790; 1027868718; 62894394; 40681894; 11516679; 760879983; 717169937; 543581529; 773470541; 732080996; 850932419; 780986294; 436862735; 888791374; 696805066; 1028837115; 924893902; 401454735; 1039516886; 315757614; 234971529; 799970492; 419505347; 992036103; 717308697; 193047289; 332190224; 948108727; 777831509; 612729678; 540361471; 1035991428; 503849843; 638965540; 624132012; 28716177; 466142202; 728897810; 67660045; 256045681; 361025080; 538614808; 578674832; 741549595; 508380938; 792136032; 907912900; 694450836; 520457794; 453426659; 915133930; 446604497; 733262703; 849314192; 916540102; 914973944; 275357858; 56931764; 834312199; 8500682; 329790222; 858871965; 173144885; 1036654090; 384198128; 164880306; 925509564; 205638156; 422055686; 405442024; 273111013; 84683281; 814770083; 437811357; 329193720; 479778007; 710861111; 379539992; 627933896; 127644163; 48707092; 249774927; 1025591142; 352765821; 375802674; 1008509534; 788173964; 280028756; 879613709; 630832140; 270725605; 744740041; 854181597; 353055822; 358417904; 998867496; 1012164679; 618462068; 306874711; 636632026; 259591550; 917428752; 732405630; 581773874; 182826119; 577555915; 308166928; 979897499; 663948135; 543367739; 521934711; 260338727; 451572992; 481817423; 309372411; 36577535; 520621207; 756335371; 748819763; 49846962; 851935112; 995604549; 644063377; 900213099; 560047792; 226161132; 61006600; 518097405; 558075203; 937352413; 824453860; 444748753; 85068461; 265145394; 93058401; 443212209; 596560886; 855022114; 759734947; 293342028; 457066029; 433151859; 291699360; 417650038; 1021616044; 870572765; 614940654; 304537417; 659666072; 525316403; 901748324; 791280725; 314194305; 519546349; 527838901; 54590625; 981806180; 214045217; 379696936; 440414132; 190539767; 804624343; 630992267; 400940829; 70824719; 16458698; 355229089; 726182049; 605750966; 228103314; 886137420; 69704567; 254079137; 376743316; 859073072; 741142328; 551895139; 873935008; 860420335; 1037573624; 58444054; 2008435; 647491087; 948833997; 24345198; 641537224; 105362361; 626377272; 847998686; 366752214; 699766527; 800073915; 377347654; 157722215; 4169278; 635569263; 218956531; 30427907; 1003344943; 437753919; 87129273; 213037172; 939870141; 590696609; 780894648; 1067398596; 333233668; 762327520; 234056060; 427671335; 387790179; 85362142; 253978995; 948520802; 593310052; 206014291; 533282826; 973847159; 289674519; 729076791; 495035417; 90206684; 805355368; 643675434; 1056078230; 52472887; 945659866; 1028353176; 522517157; 525789629; 1055607174; 719195692; 23544428; 28081439; 891359950; 523609495; 1063172697; 1073458920; 765382247; 846178766; 304257344; 402281051; 609809078; 894187783; 626556791; 352213941; 72423398; 41108103; 117755281; 830711538; 895333547; 22048243; 661580839; 581102762; 931726822; 192238171; 714879446; 842386673; 812002101; 469202341; 396588122; 540576314; 487405602; 260279251; 60321624; 360788646; 108772994; 113296956; 1006047659; 945684587; 440234583; 1015715781; 343499668; 789501133; 1062967947; 900937183; 572920599; 945773952; 280760381; 659688509; 138690373; 66573534; 855544761; 51297104; 571464782; 362604565; 100045120; 326383272; 401050946; 597620377; 816512515; 733489979; 41388098; 305718315; 156080420; 698025287; 333349067; 699326840; 868305783; 146030584; 188218376; 858256237; 73783675; 653852380; 371069824; 1008535458; 719271379; 607898800; 228579319; 668876485; 664863687; 1027154187; 1004756912; 899268625; 10889923; 77942455; 819493822; 381630271; 1014327461; 1059204723; 214527710; 613263414; 1043540594; 642193901; 792614063; 519361712; 538466887; 441417210; 351648055; 366095548; 433985144; 929990737; 400072945; 153857356; 96612709; 515477700; 214471490; 336088442; 19815615; 495758918; 4133669; 326566397; 120271789; 242688707; 576379329; 788640754; 1048736701; 399988983; 770771652; 177713493; 385454273; 115725185; 126091330; 403314232; 657387887; 99773242; 600171392; 690326745; 520946318; 430437848; 906013308; 481308123; 103814454; 398078653; 68197558; 603297111; 784365287; 848596665; 794407547; 889068637; 441152274; 330032811; 754079313; 290428563; 715748901; 738401047; 283508204; 386478077; 649931645; 547842882; 34056091; 278690148; 965120417; 61901125; 148360815; 39318527; 979454527; 874565140; 692839439; 1000954310; 866751137; 867870310; 708986300; 998872227; 97866559; 905401547; 1068758163; 527896585; 210074603; 682341428; 250931464; 652349965; 485642148; 593799576; 67887394; 279963485; 988500471; 812132151; 263184574; 138447430; 159516733; 1018817386; 1068380750; 489960169; 13042256; 82320179; 920687661; 171956784; 908601811; 67855248; 1042857362; 745367; 234807988; 1048836194; 198854433; 391124607; 456869305; 605918842; 329429190; 794790611; 563817335; 145386847; 960369975; 60283946; 420307673; 58907920; 792404971; 791619172; 726694895; 804332450; 268375520; 783007863; 575209632; 686628318; 819094612; 277518061; 897818512; 1012455165; 124459055; 1030892133; 86385883; 694133752; 356767788; 120377900; 761915696; 719938648; 425101745; 1027142100; 623747083; 280171644; 906602590; 289380672; 455004990; 436137238; 311091813; 922086403; 165261903; 188658286; 460930516; 594056161; 168019565; 141304540; 136135558; 116621856; 314527949; 997205095; 125736884; 284803544; 190396729; 976108918; 705795179; 541572526; 755815573; 739873521; 143010909; 231692447; 424560425; 672159445; 46575703; 208021466; 488569662; 243416525; 1051582775; 207470980; 611741339; 372846997; 430734180; 195977092; 399272155; 200177397; 311651509; 700244529; 394936982; 904402078; 1037746457; 743872423; 704218383; 306853056; 704452223; 946398892; 930788861; 11925882; 252102893; 235679351; 175742386; 821609049; 16650615; 701051249; 868549269; 635082407; 777617361; 876817626; 130257916; 460947400; 81665315; 691545239; 110436901; 818048245; 18998535; 315648944; 360408493; 753610799; 1030599971; 210945623; 411367467; 372547314; 289530814; 397044645; 959108348; 143013349; 756227308; 181338394; 313574300; 942437521; 848420927; 33823153; 598629999; 492969323; 1004163331; 359835963; 364277103; 723276247; 551046994; 592008593; 527916951; 533225385; 899429016; 1022797366; 462208936; 30675877; 193289606; 739023706; 136119463; 1020581829; 530946208; 300813487; 456270726; 8012583; 50123021; 486963247; 824716778; 119510196; 91398247; 7226088; 960430348; 320290524; 115921412; 956179418; 1044413834; 537913464; 316971960; 686327430; 957752616; 801425800; 249555202; 208306088; 43910165; 731132266; 719033470; 885372147; 782705669; 1021214460; 568951030; 711403421; 986309222; 678312798; 374610637; 906359731; 768669578; 18394249; 123630849; 455361690; 48017138; 453395616; 472182533; 717103737; 209498800; 84104132; 517815787; 1031041994; 64257987; 329925479; 865810198; 314426783; 395190177; 544436017; 59752708; 841019518; 590924029; 1070185090; 1006299078; 87540323; 460047538; 138454468; 363892531; 661155207; 28683249; 90464438; 618676971; 332236530; 352961268; 721120220; 592595527; 56310182; 271156496; 637351509; 68723336; 783065171; 57212543; 446641053; 568135213; 166008530; 209717714; 493142885; 453510057; 742570624; 102144357; 695962666; 887115916; 431149387; 79167213; 93087142; 656514013; 620656707; 749261350; 836221244; 161300021; 277618139; 1051276060; 277135987; 192078572; 161646630; 100779634; 1070400622; 963699508; 164896252; 272827574; 397630518; 47374616; 876132262; 161999827; 174114563; 752162411; 367623498; 990062798; 920298797; 734149187; 668626872; 611627401; 832848414; 269773772; 783799422; 344198035; 450478614; 80708851; 82519010; 347942245; 362656183; 972043059; 1052311312; 539046039; 369862015; 799556068; 680515594; 8827503; 8587100; 66576056; 38320537; 439433167; 130544880; 210970921; 361279902; 311254019; 708835632; 199731248; 38290636; 366544319; 856165240; 953131183; 247101361; 892518226; 822379336; 803614406; 662287895; 254941392; 1070592692; 159394774; 805307213; 374763398; 905571366; 135955535; 862041420; 480306368; 699990437; 508805807; 659529289; 62763272; 248416085; 597808593; 1063056059; 95672120; 931913179; 1061704790; 811410189; 777696312; 221313161; 598287497; 26811389; 1033479398; 992016652; 909381163; 630347536; 26439558; 759523857; 888941364; 563828736; 1061741455; 454257762; 140135769; 188713185; 176336936; 866274640; 317812432; 857667525; 515848781; 773744290; 352235718; 662399253; 567729631; 1008706797; 593986402; 296446080; 976253912; 316600573; 812383582; 112450023; 35795215; 291883791; 709845687; 347110359; 945826376; 448484900; 500409177; 72666093; 830690367; 318341296; 816851974; 579243644; 553030200; 600313614; 123773600; 195358089; 289190257; 257309452; 1036218366; 845119439; 269067580; 853574798; 360956431; 841416601; 1052851755; 809449936; 1059493858; 870564902; 720227738; 1031671496; 560115498; 682171186; 764335303; 926992603; 463148162; 774246767; 739480852; 43442384; 569214789; 425749945; 810072522; 1058339587; 41036889; 720024747; 156419641; 900112409; 173267493; 908253303; 530712555; 19025146; 50982956; 174129632; 903355872; 985646678; 767513596; 570938732; 889243896; 448064310; 77024534; 150486742; 976468961; 653607668; 658410836; 965144055; 159646383; 462774548; 324737144; 91966477; 845089526; 855613693; 492073649; 175441842; 235987746; 1000948390; 341607241; 365435924; 190705404; 397210261; 10042289; 952433747; 978947827; 970650377; 382218388; 988186890; 807602040; 599993605; 496312673; 5023459; 839304622; 920160495; 491497962; 879542060; 243855516; 522944607; 284756152; 896261509; 757071454; 132973720; 1067197698; 786172752; 234898236; 689042507; 24391378; 906347663; 592000182; 386157092; 351246282; 756327045; 339483195; 511807659; 194991897; 252498326; 703246460; 1038022186; 893389719; 758354340; 977113157; 19264500; 401850017; 232437615; 158105765; 1066573114; 504612005; 622382240; 383887935; 169381369; 1005480143; 479097636; 557323673; 953530765; 632423657; 427478846; 80454834; 440577326; 391717082; 1023780774; 170716750; 20472522; 948481697; 877457888; 66722394; 1033270865; 58434837; 684078393; 583183674; 329638123; 846525218; 11779249; 258180267; 825109804; 823206581; 840124344; 861427234; 861300556; 134985854; 554189154; 38864129; 124705260; 903042792; 619383136; 553828787; 597591207; 785243287; 1028333670; 704882883; 502132191; 602829790; 662041291; 3450740; 259413904; 236649575; 218539518; 1060823467; 498623849; 1061522789; 510862368; 210932143; 131655790; 332221962; 995519167; 424036213; 413338952; 487982561; 81729683; 384377167; 267381194; 94483159; 594708925; 950410241; 697665584; 1008855668; 754205989; 579530384; 606236144; 409083400; 445022924; 698562902; 27784864; 9959593; 769483406; 903738254; 702619709; 877300684; 1051083391; 769415577; 430979212; 797761087; 128650942; 814177976; 629528959; 278357585; 198006925; 483972820; 529790272; 160299754; 809961249; 443707600; 28304545; 690265788; 97802268; 1047265570; 572314409; 282351339; 533309953; 48111604; 33096264; 212458225; 382071350; 427303445; 654406908; 1033953461; 628574328; 238728630; 311469421; 524499927; 533502270; 679093916; 926131858; 149092754; 544134009; 611638581; 747360492; 294833405; 447811480; 720794375; 265029491; 682997064; 459556904; 1031948332; 299200904; 898087365; 219917795; 391881327; 600686643; 120354391; 15007479; 810764271; 18935744; 252535661; 203854079; 647764693; 220170710; 650121879; 512020173; 1016643352; 891747474; 528766238; 235160613; 359615258; 1062895993; 798084621; 470986893; 247804641; 781189742; 210217166; 693483893; 691043116; 698067981; 667311188; 27644335; 308461909; 640513160; 466632076; 962963623; 35322082; 701597857; 662457354; 829665649; 674306185; 75045381; 201063; 558414545; 1062605855; 31340860; 357278305; 373667712; 619280773; 657892016; 251129539; 303203316; 877666250; 448157406; 260987170; 471339494; 605601538; 532429540; 526169054; 508602611; 155949767; 504990370; 164583311; 793938074; 251724391; 105430262; 642214359; 271981464; 607567096; 523418938; 297719724; 582050810; 785440549; 775961523; 228821597; 769480324; 292557942; 721132389; 13554915; 241459360; 918392673; 99228738; 718240863; 914936656; 513028548; 539464480; 661635976; 644506571; 37405820; 272012288; 796678944; 60499354; 286904544; 1009112555; 672688711; 136595970; 475858209; 231497833; 766717083; 364568016; 954424917; 765414833; 447153825; 1058463121; 266428089; 109508398; 1018456545; 17141649; 772612400; 757542507; 198622483; 399022745; 28248627; 315683346; 418472561; 211540680; 154599414; 680762411; 647067621; 508198968; 468503982; 555835552; 765703703; 938671356; 394329107; 732513662; 204220808; 649896133; 801288127; 435073649; 538718944; 57469876; 229134883; 455470230; 755733146; 581874104; 642643489; 699689907; 458414071; 252816522; 461437476; 457507349; 502402149; 116970470; 175361182; 889499226; 683855505; 832371; 279053985; 458462045; 385922530; 222751695; 1033964868; 552732718; 8948384; 955724158; 677560532; 274913212; 216904077; 619508838; 624915978; 864308005; 1042638425; 626020137; 274688361; 735755327; 994229152; 367554660; 648444609; 210356373; 835180460; 424683036; 483553810; 943220453; 433985004; 483898002; 447870884; 315432720; 691840378; 563899088; 26778128; 946182627; 740594217; 614486477; 806487576; 981614658; 615287540; 866621938; 447692712; 980788238; 799883244; 814437922; 607790192; 1049823717; 142050917; 408646636; 664603072; 654930324; 947676743; 794078533; 66419870; 1028073687; 569806288; 747124302; 188799279; 987392124; 821420092; 125240803; 387320448; 1024747261; 1034558806; 483669802; 833709200; 453174138; 10996826; 53490922; 725271574; 1073397335; 497469505; 557117339; 577921055; 727229889; 835259626; 32212662; 405262685; 658376166; 743501444; 153680020; 589522465; 462824285; 347445342; 243534390; 785168099; 50917366; 972338399; 647883018; 715302155; 148265177; 526642284; 269794810; 223801195; 951860075; 602369493; 263445336; 900330108; 486456971; 540172897; 520312953; 108706408; 392331578; 348332028; 341627112; 123594362; 992671847; 915381296; 528162672; 1071042271; 462421078; 395195381; 554105649; 632478172; 197611510; 59935457; 971125721; 191716109; 476767951; 860193545; 612182868; 697599595; 940137249; 497394212; 9725331; 857029432; 756340501; 968827981; 179229572; 440701653; 993408176; 579310146; 7009964; 819723220; 17543822; 632914947; 194199698; 185080857; 846196859; 889195433; 240780939; 984566747; 561687927; 542026696; 859832512; 368115930; 133526943; 731093523; 268341639; 564974676; 398963223; 762322913; 1002056213; 881786919; 558743658; 710444675; 599430627; 824884103; 975078693; 1017598325; 881252345; 732064012; 880065502; 366214992; 433169003; 1025749706; 1070188727; 22079290; 173889684; 805275223; 170426394; 620018796; 906088013; 199792306; 396279281; 639019329; 35762150; 450874181; 792172232; 407139987; 308404358; 116231110; 343980364; 626385557; 1066525244; 203460621; 692717445; 1052261934; 1050333813; 634055903; 492563495; 279590056; 1039159949; 1070129028; 1071750242; 348053521; 1055796701; 108777082; 297607393; 285845805; 1004263753; 521102118; 115316504; 1030831890; 901195707; 472599112; 210948198; 966207055; 652618730; 996207374; 344538503; 642505560; 843220414; 546526226; 452703133; 1071611901; 688231114; 199083277; 1025122317; 418676016; 427831976; 466145096; 554048045; 177055846; 331686307; 409095321; 1037122350; 702419875; 315004487; 855509355; 888267953; 494468270; 419920526; 66249584; 137659115; 976856677; 296269767; 454852286; 523712783; 132766230; 1034315675; 1001470622; 978057952; 290050308; 133359300; 438595223; 645412913; 961083444; 493218315; 1068635154; 64970041; 979456451; 1036406446; 618278249; 837965395; 625401090; 144662817; 295829529; 1041667664; 868242224; 334312486; 276232228; 445528353; 970894415; 1054109068; 95222508; 358311298; 142472219; 578069355; 19287087; 120939708; 317196058; 727363928; 885589765; 360830269; 448334248; 758289264; 572855947; 783911233; 428517121; 509962244; 134158548; 446542973; 667199913; 294275043; 457311164; 859592562; 109834808; 420332222; 953322280; 1045120035; 1000297803; 265362552; 532478059; 451870053; 873987088; 134184991; 1056511222; 480012329; 124783965; 692128019; 1034042016; 404859955; 99505230; 697163183; 162783719; 842188247; 52840486; 1065269555; 340733423; 867814291; 941053755; 908283423; 250261543; 208958825; 17356075; 579958734; 324886253; 111642444; 355872994; 85946936; 583641467; 107712702; 781101384; 284689052; 156277624; 305024075; 137997452; 473573037; 175053257; 632501434; 1035611330; 245781267; 11038742; 471981890; 41775058; 935609590; 568800860; 1005095219; 793444989; 918435813; 975702100; 858921936; 167836973; 519169814; 1025386898; 950576011; 729577470; 634819711; 189198008; 553520737; 443298003; 137555191; 618831325; 994581690; 548351512; 105668784; 685146210; 435279299; 534368994; 638733744; 842425961; 462010435; 144628023; 790909340; 385240131; 769801148; 526008670; 407440187; 877585640; 392483153; 638068551; 659435422; 1064278677; 618594360; 22812323; 526138962; 1031527035; 156810512; 225879070; 745301822; 25173686; 735470049; 108406819; 64546566; 324508587; 546384597; 673725012; 981818867; 532019534; 710971050; 1027075344; 485762480; 993394086; 701889292; 1043648555; 845766772; 1000996812; 302258475; 184554163; 651056891; 34595667; 736422499; 922864571; 570956082; 199142063; 146975457; 805529477; 737749274; 492300682; 794440788; 602909083; 860628875; 793716589; 147260034; 374952456; 459055444; 737774832; 146200111; 804177922; 974755717; 1052665442; 697448282; 594404502; 819953710; 14939679; 111968892; 516068749; 746558582; 408472125; 424079973; 1019361390; 207041715; 814565414; 94700742; 1041395488; 487346817; 477141897; 471813416; 335073715; 525692782; 1028907982; 367143659; 807905164; 874505994; 532039680; 542049160; 579917897; 854106279; 679720085; 61886635; 885726397; 46475088; 498140301; 835958379; 1036761796; 1059763845; 857595940; 41866164; 622313988; 192405210; 597116636; 447009936; 910572235; 240911808; 814153847; 315355226; 226487277; 281533211; 582121603; 842491397; 732053841; 234948622; 883807444; 572750286; 840522526; 164750620; 149818490; 538284636; 699553524; 775173793; 795849170; 766498973; 498010340; 601964216; 50277263; 755393740; 923953728; 1013133720; 40463243; 859468905; 696556881; 839392272; 508722093; 94710527; 244591295; 719180365; 913968055; 431842083; 470833096; 292732648; 877492137; 835860346; 234899028; 472581199; 441700217; 483887766; 506410646; 42923809; 133044841; 408872175; 442399164; 224718938; 507556224; 896959811; 205324952; 833071373; 379511996; 371940210; 847570182; 987473113; 910884654; 504616945; 554663713; 66623056; 1006475886; 744614154; 164183634; 522682539; 254940130; 783860962; 422201031; 198782403; 595277190; 1056528249; 43788664; 1071269871; 626878200; 1060849521; 187243639; 595885688; 1058675463; 443653427; 785766605; 133945913; 349735478; 273450017; 961544350; 974322947; 583353509; 808465947; 533955842; 1030734472; 326644181; 323863011; 218186046; 223446113; 594320023; 572194923; 701512760; 608759478; 869644221; 160932142; 54991643; 769820532; 202039726; 515267437; 744319276; 698440818; 252479456; 344799753; 701523068; 8163185; 471585651; 201995088; 893203977; 1023902969; 68353497; 280518898; 461324355; 819360503; 846553131; 571940808; 869475271; 275744838; 615614285; 182879698; 925517918; 257890099; 172619836; 206514971; 125505485; 715524952; 664385919; 226966220; 600990194; 930008432; 368573273; 577045575; 276295513; 335371617; 176887495; 444704101; 1073229462; 776139602; 478886045; 391301197; 444085025; 235150359; 464824447; 175212117; 577597028; 292762744; 138076134; 235181246; 296166220; 763563806; 756665349; 623947328; 976266317; 196512402; 645099382; 327743700; 162314288; 754473392; 479102539; 447420462; 726689024; 105036696; 882563882; 998492398; 644878235; 284619728; 112495801; 929503063; 47642012; 220540997; 186395978; 658426296; 802549033; 362336258; 6520877; 732021968; 151984221; 271881504; 371098419; 318927496; 960114406; 991036228; 765167478; 928294942; 412689393; 637140520; 721076826; 524112184; 365969718; 461881363; 584542998; 794088244; 813847089; 308294043; 186563339; 270984513; 538581614; 163359526; 95855385; 432917970; 150149171; 681404; 689256579; 73883347; 1064022405; 38304099; 347222176; 514319933; 686302483; 1059675961; 723624898; 446032102; 958922694; 492069673; 839685417; 46521673; 247296109; 602840471; 934436976; 539124617; 225730478; 833487354; 762669721; 325819239; 273440997; 254316004; 119778205; 217674011; 855715213; 1013782083; 720393040; 901897610; 154843598; 913008933; 1012160045; 432540388; 810823678; 977548943; 413244112; 230727786; 641576781; 148807740; 346766959; 811223980; 633295293; 111823355; 180856358; 225937591; 977058214; 36913358; 449804952; 52851010; 552309912; 1047714180; 438746968; 204798832; 1020667981; 415941233; 37437466; 111898971; 208964169; 185839825; 608572712; 70366591; 810363529; 374816466; 480995121; 551991126; 783490726; 370074614; 505195911; 380324607; 43674723; 735491056; 702346156; 879720926; 124067724; 494339207; 306537861; 949394187; 245852763; 310668819; 1003466219; 344573621; 846437345; 450811276; 544608590; 451495858; 277516884; 772156929; 538848281; 30227624; 18946309; 781278699; 961703387; 171964675; 669915885; 488081414; 425433840; 548160289; 479829659; 643393391; 938325428; 362195226; 889421674; 829180727; 860363440; 4933666; 1029653194; 201614431; 1006680983; 577167542; 478011875; 75644076; 156725878; 776510678; 255532119; 906692947; 641155204; 346856645; 202889101; 333849083; 270111845; 1053738370; 215913469; 376494655; 807030457; 317380713; 263547386; 99807136; 284076098; 843597174; 993671346; 576806795; 184007679; 1057627400; 4352980; 501961780; 312067169; 868868826; 884186614; 610796844; 238214698; 502985907; 620390639; 342510931; 540180608; 472108012; 14907134; 310409127; 102900456; 654625070; 953247281; 717476611; 114004279; 37620441; 549653899; 735002220; 979811566; 240110484; 517608775; 944644503; 766743449; 294889280; 199386283; 726846811; 422025463; 843199265; 746852812; 778763007; 789581709; 565012199; 18919124; 996342038; 427655309; 899736447; 13832636; 265199376; 808729664; 173456046; 913713053; 33449944; 149445178; 303035787; 664295546; 292972242; 40790631; 659661743; 16394712; 600261878; 298301184; 867293369; 337028144; 976064055; 438519962; 251521856; 972412059; 886240377; 57768288; 602410141; 147011996; 822059055; 112563880; 943473147; 25736219; 195031705; 222740498; 435961298; 1606785; 769837485; 252447699; 947267228; 496152207; 879093526; 1051605305; 582054986; 375361876; 514556; 337533827; 378272649; 1051438459; 916532979; 392691053; 103457166; 646936779; 731302810; 543537967; 1036448226; 1023982396; 651567011; 628170934; 784187810; 882014898; 400077480; 709427869; 872367894; 571627752; 949235740; 1014204051; 214349896; 78881880; 896149828; 384336155; 423917285; 491120395; 60077733; 561351182; 452564018; 267797407; 616224317; 548812778; 404541086; 960466754; 790763682; 526015367; 785632170; 173723773; 754302824; 387269466; 894611206; 979652204; 634889097; 189592264; 426685196; 561045089; 73457020; 114369504; 379667291; 485575569; 560110391; 561101174; 13899385; 747717758; 552824906; 72638262; 452910076; 878351091; 294520824; 262929282; 760300999; 348749242; 857487699; 862116544; 834094111; 819135544; 783122249; 1000382807; 797953613; 392523312; 895691856; 777073464; 655167479; 586346644; 267208779; 694701633; 420878184; 980322594; 1034512096; 513495026; 773110343; 620741136; 572210696; 998703891; 134945758; 273487853; 561537695; 598205065; 660159435; 578638010; 448586935; 176746704; 48171878; 576766140; 1049307619; 104440674; 524686795; 221399520; 590673936; 454455481; 772944819; 486091328; 355314292; 892466390; 185902093; 989444050; 453513901; 38610426; 515461827; 289152421; 53698012; 28989894; 304174912; 383336798; 144426832; 165732693; 985855772; 968111660; 369330507; 1048951769; 274678380; 653073407; 89696986; 768424211; 367251990; 818324688; 955136689; 865456152; 852986486; 727589720; 979973818; 407905013; 813265405; 366082302; 656268617; 439628942; 784100707; 951668466; 153116876; 518622249; 403390430; 237466442; 768242981; 700863484; 857792178; 961742402; 749143410; 782217774; 408472928; 403453253; 920881391; 586226497; 704140348; 783362522; 867657713; 1037087836; 129476120; 776292297; 763767457; 368118991; 515144112; 874728906; 1070728864; 705930651; 841380105; 771003090; 976290827; 915955208; 422001314; 359338100; 382057879; 836969619; 286257384; 745494452; 76580106; 794850784; 558790420; 133409454; 127137120; 803378574; 300418279; 86800235; 713081182; 358306; 650666627; 616280380; 409728067; 823698247; 874560139; 393384943; 151161309; 817926666; 23566475; 585007044; 1056290945; 396552848; 242990689; 973770680; 371997972; 915701331; 257624043; 443357614; 118307247; 98710783; 255908785; 332822922; 402356798; 1055468869; 28635653; 821117768; 798475686; 210000902; 511939522; 401609279; 887777497; 172747278; 513060666; 572019480; 557496507; 97541102; 787344528; 349596483; 848621714; 267938242; 938382967; 41805166; 893752591; 676445896; 561269216; 185585522; 372641675; 603996393; 11310322; 953329827; 516207051; 334336195; 255913007; 423635505; 807106662; 190046046; 549081294; 557576425; 611644566; 384888499; 633154751; 459321179; 297065619; 542023496; 876214251; 154358422; 669311394; 985158434; 962682518; 65365293; 834874118; 464503629; 1024379551; 448505634; 76263825; 278699368; 64955388; 285084582; 328327844; 271024354; 636400162; 971415210; 777100640; 135483818; 197625034; 411940454; 845296284; 733913954; 358317457; 219869173; 796724993; 833883275; 160671075; 980074003; 841854365; 474950089; 252951172; 1016882372; 1053103013; 459052318; 711980135; 401198606; 1004416396; 29218642; 232756040; 575529889; 557431313; 854333549; 729601334; 900355957; 694143592; 915398595; 940113532; 768852943; 678707263; 381923464; 615035795; 919943001; 953572623; 148186433; 799699808; 791876379; 21275103; 929725839; 851708727; 309328012; 1045759351; 190603139; 687784689; 593186412; 755852170; 888606972; 859800364; 239012131; 216501978; 165452585; 672023246; 644164357; 351952849; 393563476; 718556040; 641457603; 11217552; 907636512; 337708076; 939158408; 758008792; 288812741; 818247698; 986857982; 693543949; 754028524; 974616333; 177228201; 460183722; 25636060; 82690129; 69554495; 24340166; 575070084; 819357133; 205942136; 720463158; 296882232; 465383480; 910278439; 409511098; 785795805; 741155280; 802545089; 556020895; 230030826; 360790799; 219711514; 168955689; 511831940; 1011559192; 504360187; 1020645413; 572195768; 606345331; 844242165; 426378960; 218500621; 253127012; 412788114; 472625709; 910056437; 117574391; 426820609; 148735004; 263084570; 795250787; 795045621; 510376012; 431929149; 263111440; 212691516; 277225443; 219839442; 220321578; 44124264; 80527046; 964836906; 230010717; 576136868; 791530792; 977782656; 120575722; 506400958; 259140297; 331740779; 158960147; 522875588; 246554034; 877229240; 307601490; 461413928; 761174333; 821163703; 64604485; 345041676; 317024153; 765009578; 747204625; 260992103; 585159281; 365080367; 836518525; 688351127; 126692811; 296334984; 839211278; 429408191; 118256742; 989517154; 668893483; 449317681; 190400091; 479333083; 770270297; 531637163; 1019751818; 22729396; 234971210; 4445601; 266704109; 737580565; 835200125; 485568910; 667973016; 349423212; 793652710; 56862232; 890282569; 520292898; 570879683; 500920730; 777619803; 1010879796; 611720261; 263110294; 625954373; 231143701; 690050293; 414764622; 261452910; 152188913; 189394345; 389804266; 173549951; 121159036; 126631565; 581627021; 810820400; 750170427; 272675194; 58409109; 277867851; 877566203; 810537048; 123949441; 180004731; 986817755; 777077826; 19324432; 598668242; 530700758; 1000644854; 1050670737; 477030781; 386735688; 641471126; 734839664; 247452389; 222044684; 554082257; 734406435; 534891589; 426474153; 621506008; 784939532; 192033690; 55207609; 242876859; 296468267; 179311493; 1019642733; 965481811; 586284589; 993106932; 134172089; 137950240; 633570709; 104536426; 777564219; 84215181; 838977796; 33529485; 248433398; 1071641359; 270381355; 481932817; 476445918; 1880320; 207909440; 1029631491; 985739596; 428211578; 414528431; 580869482; 240607795; 314796354; 1057487604; 525432955; 644830956; 931779810; 400704900; 697949556; 673981982; 884088323; 748301724; 247103111; 1020717207; 358304902; 872927916; 450441229; 94737194; 447349998; 1048666895; 131052466; 64450019; 230987057; 399505086; 909183096; 501100544; 55362753; 597783643; 31044495; 833270109; 248767462; 773688627; 209169691; 1065077893; 547814842; 772538262; 727749641; 654528661; 219089634; 370675672; 515962142; 930375406; 891167725; 860614168; 352370282; 24610713; 493132870; 530772061; 835810894; 1028447929; 359623913; 66703138; 18744757; 776323515; 425838902; 109745180; 777048487; 597031997; 243871625; 68024208; 484895180; 238940158; 433655489; 977234973; 508002434; 1011203806; 111543509; 151518816; 410204048; 974416286; 656219456; 684118; 441427435; 98763596; 564979102; 503817793; 158271107; 815929983; 442384577; 819079934; 363256195; 646635508; 164025169; 868406418; 356388990; 975380588; 526343693; 472524442; 120169763; 670021619; 732448149; 992636542; 980537907; 397345928; 360491017; 278606588; 1047560485; 375407535; 537652396; 1049343718; 45757351; 832305842; 477812432; 272256560; 467119725; 144986311; 941322407; 295871101; 65134214; 100508535; 83886589; 505504218; 649107174; 649840783; 329697970; 179788094; 719558010; 944615424; 841154491; 221587449; 811388694; 433651395; 732619603; 509789646; 114394607; 514318757; 912121032; 721637860; 431932791; 753747455; 31220405; 545869050; 377662885; 769594359; 256176730; 305097488; 962889685; 755143893; 1023384646; 889487410; 565363547; 54006885; 877471357; 704109281; 722670638; 918355718; 18995027; 532010290; 588712722; 197477054; 294810178; 742806686; 706788576; 960022600; 883559172; 149316883; 334379992; 486405725; 495043993; 956739118; 39042512; 328367526; 127916046; 919577277; 289591770; 697916081; 771322819; 181242746; 896959525; 279707294; 180210131; 374049638; 13891389; 914448980; 499403744; 929621788; 83049052; 41761626; 248207322; 1035545548; 1029612292; 175235138; 426906055; 170815712; 387294205; 454230664; 819727413; 143854735; 177030858; 959923815; 853885632; 521704348; 202794865; 269972755; 424976716; 318544070; 248691814; 538652860; 269082130; 259790241; 559465265; 136306603; 979485851; 404784792; 748351727; 925776663; 999171867; 110214270; 788842561; 152191924; 31649963; 90161856; 95294395; 444060823; 674157254; 764136748; 725859640; 244102489; 884809326; 1069149577; 488814346; 550911300; 314511949; 444988399; 713794502; 139028936; 97524337; 75314035; 27804062; 929555507; 988575016; 534219988; 160141704; 317905959; 510767309; 621611470; 942768028; 103253899; 12084679; 277276691; 601839198; 856116434; 646933779; 907261568; 113141817; 422079586; 957045744; 615101723; 827104222; 713592640; 887559620; 385952301; 355162065; 535607017; 279715497; 362540446; 240367745; 764990032; 739131606; 392917888; 92342109; 331215292; 920713272; 24001003; 862548997; 695408467; 378542205; 818737136; 773764820; 726510318; 765276733; 418339730; 925108187; 311940062; 789886425; 45508429; 160009486; 141365952; 518716562; 64662430; 28938488; 716220833; 1050597175; 12890363; 204400372; 343860817; 400015133; 446729483; 170680118; 181778872; 587986026; 148665973; 199603294; 915278087; 744297409; 525185142; 597254755; 416792593; 961147944; 1033996475; 229377757; 1026247001; 97705555; 453688477; 376023090; 197789213; 422885414; 63611761; 332089821; 705445960; 1010006605; 847537052; 193249471; 631420933; 716271574; 254033755; 831589533; 610744689; 937892713; 815743691; 621744896; 198645815; 772864140; 273998287; 566655724; 635269700; 653661891; 224767692; 193642638; 321834009; 436643462; 488487773; 158638519; 489101008; 892673748; 300034885; 633330560; 993452104; 361144792; 605014453; 273407258; 1072122875; 681325555; 187346691; 419257; 448464534; 692476045; 910924417; 755678086; 690414723; 349937445; 359860702; 111900966; 561761879; 948311134; 441386678; 892388953; 861923505; 581260748; 681968130; 244082327; 493299275; 1003928588; 507849408; 423636127; 373980072; 703827212; 828718785; 1024319264; 205656224; 618934915; 158634063; 464667850; 399408245; 358271949; 845466015; 95333430; 14252589; 816184781; 1065091608; 512976393; 793022378; 966898135; 255988005; 424428353; 75489527; 664444714; 696005929; 1015362793; 487434418; 1007495161; 694429373; 914019360; 145130642; 477825746; 331429374; 82354807; 373022214; 247894382; 371746485; 602728858; 39819663; 324188017; 967833189; 528430944; 210422918; 374162826; 214497427; 234421047; 562777089; 918873824; 387338153; 259669021; 55433660; 749032030; 410484989; 886517699; 411473847; 558276607; 539185627; 174817367; 785563014; 982388732; 643393415; 709215167; 273401045; 410028591; 1018472227; 740558493; 416363435; 606206776; 741598557; 606137091; 240151948; 531215453; 73922253; 351958896; 985657151; 639723441; 1071046789; 333217335; 437605540; 1072228660; 950697352; 558949024; 633823831; 281977386; 29656626; 668161456; 1061863313; 633746219; 742341515; 964748374; 677040267; 673561853; 682457250; 924612393; 161558842; 38494470; 207256764; 839279243; 552285581; 226157147; 384941666; 1067989399; 408415900; 704654829; 224943327; 641925107; 999102447; 103582277; 168494926; 640342387; 140630335; 483694168; 213087982; 237210825; 892419263; 794420161; 257426176; 969716676; 955433974; 656444079; 583015133; 97795714; 616679550; 51962035; 80934078; 496982344; 86188374; 1037282520; 367461846; 359118198; 814705550; 732396400; 479396719; 943603139; 153390475; 365947099; 531339559; 461638697; 761190357; 627708107; 969699840; 7661309; 782562182; 84146707; 387004637; 182692461; 615028390; 699064104; 866671278; 19398722; 985925572; 263863518; 692293445; 127319312; 530121074; 770017781; 567558385; 1040036944; 176668127; 202988498; 1926885; 328665358; 1018377871; 494812311; 927440591; 233856849; 909884388; 485568155; 745813579; 14784104; 651110301; 880511919; 524795385; 159014134; 148958158; 150553416; 135432472; 977975276; 990464442; 952365097; 994310335; 551869565; 162684067; 181535202; 700884587; 249626934; 805469238; 182392873; 810756168; 223499998; 192703337; 317462257; 421554289; 707410796; 581219732; 638099760; 161973329; 903250069; 204229729; 304947590; 14666926; 395683625; 1064279478; 1024202436; 311302290; 276707956; 396065480; 416259156; 784068963; 512412007; 565046481; 135148220; 551426796; 772072328; 275504468; 651292499; 244956557; 1021982775; 85459685; 66163940; 126488399; 888669339; 411207420; 328358400; 1038700167; 525834814; 516890251; 215096181; 310002203; 265776777; 911991421; 601561234; 940913692; 139325727; 543860281; 591178296; 107672128; 133315170; 679322279; 207437821; 644516737; 807971237; 673764923; 329269479; 387390267; 994304441; 744020643; 330450904; 503835808; 899668105; 416752058; 750169271; 789912028; 901241471; 230264575; 404497668; 351532990; 462572363; 919202753; 6162827; 9040232; 140883792; 963303000; 615448957; 709205462; 914843838; 672140281; 43496472; 168727038; 313389699; 678916166; 543396782; 1073500063; 642766481; 303630986; 11023743; 1053169090; 831611589; 772265585; 520550051; 415264915; 584168975; 683559761; 967941556; 113250444; 508724940; 591497703; 531657592; 350400606; 381938442; 630566569; 895423601; 630824673; 648545991; 938446951; 469803150; 872986759; 583417928; 89222301; 529722740; 663360857; 722028438; 533191393; 279792876; 840623554; 739837059; 778475855; 482702421; 978170668; 863760537; 925250951; 509783231; 710278333; 947727653; 149397399; 113027088; 124115409; 21473296; 171512139; 937495625; 687420564; 292286760; 92382024; 522722966; 191465491; 177125771; 485375167; 113027858; 479343231; 459198126; 665184337; 876597154; 629514205; 883187228; 730530788; 624851522; 508848370; 871178280; 220433683; 817644100; 18218434; 299922091; 818418859; 807981479; 684313025; 1025698272; 474224814; 382047789; 314246634; 529919689; 222529893; 578902008; 815364078; 126216514; 120891103; 998445667; 481790907; 152658966; 843922607; 402079550; 47669815; 560165070; 595532887; 660504000; 850932860; 1036228531; 847572123; 88442475; 67038595; 313842485; 450900309; 289554372; 759407884; 325121505; 321940404; 338506572; 419820910; 420139955; 689206770; 43076872; 787975819; 370261992; 254194299; 762032069; 417212118; 871666093; 888110554; 455290101; 873810692; 872906636; 1013579633; 898229969; 106600493; 1017372334; 408289108; 961878384; 570902111; 653442796; 362017657; 491841668; 314106957; 618709433; 763918455; 283276978; 311424626; 953961965; 850098977; 566372690; 173110005; 178649440; 819656418; 1024639069; 1013686191; 244034347; 112853502; 460058214; 831291398; 797066453; 307125164; 366851562; 945273444; 158310142; 341321297; 555779892; 695817396; 30192206; 183420200; 857941699; 265140479; 458099995; 823038078; 404760383; 964499904; 407207139; 398183232; 157075909; 599626289; 370297044; 962051157; 1020765362; 671930769; 183416414; 760699628; 4603906; 624870033; 412365709; 480704080; 98972095; 587375102; 219890108; 1071415891; 1018872617; 5970210; 922029685; 72924018; 108877463; 850871361; 987432453; 932064163; 986182639; 248090192; 915499019; 506196102; 917308080; 956960876; 483439375; 950076662; 935977850; 146431687; 704950414; 640326504; 323226541; 193167659; 204751557; 252761462; 97627872; 652357276; 1007946053; 357631990; 292914847; 277977652; 753984633; 711618220; 536591927; 286516578; 151819586; 785031168; 174583344; 369520192; 570155430; 444366691; 366314508; 229415812; 651085030; 379539227; 162992769; 522150402; 902535011; 58227914; 468920374; 819471718; 684913394; 627953336; 420200109; 699359301; 361117586; 741085244; 687158630; 20941079; 533039178; 916449152; 532315257; 626481114; 317776252; 103115307; 336310876; 441272964; 185213852; 12268049; 850758914; 51153739; 1027626300; 842823930; 63410663; 55481027; 842527636; 666581734; 577016680; 756222125; 501014286; 447881614; 355823111; 974046664; 920660116; 415973143; 934007716; 598725628; 496377089; 934539626; 55095644; 112603781; 547746725; 255028797; 795415641; 805262037; 717026289; 398118055; 953952753; 661537197; 402855610; 993377160; 62183011; 112564627; 487303838; 611792935; 698813961; 855741879; 508756665; 397787162; 210614966; 628967796; 389511586; 924928334; 253285480; 605209358; 384869779; 992422834; 444062157; 554240808; 798841945; 762891474; 836853542; 482280776; 531021366; 323178476; 864059165; 36721936; 610702879; 150355012; 667245985; 182603015; 73036811; 328814521; 219955936; 851181058; 918561928; 209075722; 671060884; 42293880; 845956278; 911678998; 597838931; 49040122; 315977966; 666110087; 622901151; 644809285; 515392241; 253902132; 837911700; 307188867; 752970589; 25104318; 467230080; 567347544; 211887941; 263982522; 54989118; 114924224; 751856930; 559650876; 68632881; 140258182; 572506380; 309915077; 287159845; 422312986; 168291200; 414891473; 405770097; 714396758; 190208600; 484138255; 583097080; 864351175; 635330727; 699126616; 21027920; 101400900; 520629226; 308686385; 486301869; 430310273; 898173005; 115965113; 82773439; 355704478; 143001043; 445442305; 145606074; 391574871; 449658997; 360604910; 317303744; 462251176; 545306857; 244160155; 869214807; 52936266; 152066900; 97124691; 658489926; 913927753; 159248675; 249658696; 977606541; 41131607; 762365683; 608320749; 883656315; 941185017; 851428885; 368325678; 1038104151; 675507852; 577507008; 124503566; 580123515; 807238064; 957546391; 562795252; 172633203; 284568478; 808864042; 397324468; 19247773; 761203689; 989485986; 188645012; 529169849; 529500705; 915162178; 581160979; 414185262; 915806175; 898762935; 825122242; 466770350; 982038093; 882729329; 121942495; 85841272; 408697601; 432767703; 977481094; 714575401; 946749030; 763835833; 1013198806; 795067761; 967107388; 1003299806; 721532535; 742611422; 337414083; 1023030272; 1009058760; 277400012; 571003798; 977434724; 222994138; 752464573; 665636255; 473446395; 115036526; 463129331; 125844821; 563933097; 326392091; 231671731; 222434929; 199079729; 568117829; 86723330; 703215971; 440347306; 949634299; 536643764; 1060505526; 86541881; 384122785; 214854902; 801805125; 1053588195; 147259160; 1042206368; 893904407; 365275447; 503493710; 274245632; 503590609; 876639846; 93282580; 951175611; 929233746; 595779353; 373999669; 87173319; 794246980; 1065895367; 906477579; 539698330; 233306521; 560528503; 591748988; 393800578; 1068297703; 542780160; 55848438; 47766588; 92176090; 778469116; 850736223; 198337414; 930869146; 713563621; 951561410; 1020424356; 883843184; 462386270; 996950328; 189480927; 141151104; 240147176; 253824342; 500612816; 574536051; 640126507; 1011139409; 408918263; 95606146; 339317098; 72106016; 218524121; 77113932; 378781671; 893359257; 450938498; 31423099; 611058337; 237179689; 359265312; 755821490; 1027295082; 547332789; 309799404; 522609885; 601425707; 156585615; 551620503; 297898459; 242114111; 245435755; 229618212; 193258985; 834997769; 607565497; 960035033; 450545796; 1059801134; 523861154; 569581608; 692678305; 892465832; 316125290; 903735313; 947952928; 337241202; 979898484; 349265919; 767339379; 109449573; 40511271; 351736765; 534958869; 828232369; 1012004168; 170520546; 110671809; 358956126; 262212840; 287045964; 42784789; 747879562; 425579605; 41234092; 707206263; 370702740; 978245247; 493789226; 1032900450; 429172188; 634898580; 720040685; 412312501; 458351880; 564472092; 564392682; 122706248; 663755031; 277257062; 941035986; 483377077; 548778081; 288540251; 539771266; 647599310; 102642018; 162018532; 877988676; 18254311; 587454704; 542420007; 331344120; 64374261; 343786480; 116421782; 370941213; 156577585; 126574271; 335318384; 275404994; 477707597; 526154381; 61380950; 593433644; 944357316; 10707515; 538304607; 705842401; 292098481; 583259489; 479177200; 587234373; 571590995; 48303698; 1019238971; 1071611690; 221242402; 588515524; 1058078736; 744408160; 541649224; 770965789; 233483992; 494164652; 942779744; 42003324; 919051185; 374531134; 781673401; 485431094; 442703245; 991668823; 94365564; 903927111; 463931495; 405290491; 754702447; 94890529; 589729545; 120496359; 444462546; 997404120; 897550446; 518730059; 161247795; 853582900; 550022114; 158752360; 158120719; 354416149; 471555200; 880473316; 924431566; 213299149; 123122738; 465846879; 430941588; 111305403; 410702496; 841045485; 561004588; 417872845; 134276551; 273365860; 778788177; 108564734; 58008528; 795070321; 578264437; 1018059016; 287032278; 988290719; 1018001558; 811034073; 740569805; 410798738; 70764525; 289578009; 425997037; 185624378; 967917213; 83628367; 283713774; 53468883; 634287628; 791379667; 675505880; 127509148; 546431651; 737059811; 491428621; 443757483; 811164960; 308601598; 609507154; 717865632; 586089477; 1052570794; 171712953; 463588969; 189576108; 228091744; 643590306; 17853134; 513134873; 159794293; 228440450; 646454777; 916791262; 311969955; 540970055; 633951531; 34509438; 69501516; 152444550; 613120563; 157051982; 788918009; 482016796; 957732637; 357900351; 885201827; 66497020; 733152268; 192562117; 154952089; 945983791; 451014666; 609099311; 37879198; 436107247; 337967463; 895511483; 298337848; 850256790; 476419280; 444376222; 308020846; 541797033; 124888337; 43843957; 628369829; 404455855; 119915533; 649268350; 369220044; 1014698320; 372257341; 305565510; 655921644; 80055761; 880285435; 238261756; 866221155; 293405858; 227295004; 404736479; 804843159; 157634420; 230504030; 153570886; 486358368; 634278303; 257562938; 600020990; 908131928; 785649811; 852907711; 786386798; 7658022; 122599223; 734129883; 756993134; 512662842; 739359378; 566765586; 463112996; 319197386; 503689125; 688179673; 579731593; 918222705; 687319975; 333287378; 382401984; 163445701; 748128543; 609242075; 607954121; 524222387; 713891158; 61007945; 252855816; 75506906; 1035885890; 662120609; 776631340; 602004875; 399676635; 899473233; 309467420; 107940047; 393789080; 697619679; 1056213286; 464252562; 384170716; 342602321; 147312543; 380261078; 1072140648; 1028970864; 437976428; 517846149; 369205856; 262409914; 18578043; 396289827; 256421715; 957376792; 794249444; 339006046; 753636253; 100732494; 450417461; 99335826; 994087810; 56858043; 978968755; 45100389; 774811766; 796874150; 247478693; 221554912; 695746518; 219146924; 930066364; 808176340; 629693833; 183531672; 384389205; 680817733; 1066879572; 177844805; 422670; 1024245372; 886701349; 721034427; 51322749; 370895170; 419976329; 318340307; 489713316; 789126085; 231662666; 1047113437; 138294314; 949981090; 457804851; 318716084; 233692042; 1063250676; 841704974; 24879940; 495083842; 1027829509; 504551598; 1002040359; 648497354; 19240347; 96790605; 829029976; 781195975; 151639368; 367414100; 747862798; 349076960; 916577079; 1065914447; 461238008; 473456998; 1024669743; 107866216; 625436559; 587346768; 289700954; 1026913092; 714397378; 308259337; 533667927; 616234043; 895773233; 783003613; 534701445; 1020514827; 254052141; 639386539; 29291014; 304037243; 1012918366; 836722751; 149083708; 1048837344; 30066130; 262593807; 488217496; 727890618; 266333014; 695222488; 772962366; 878880958; 979684249; 1050511136; 744232850; 247059671; 859094276; 853032397; 722378896; 199418619; 377512936; 112958012; 668865130; 27316093; 842097071; 322200174; 879586576; 870255811; 765448050; 27160713; 799201671; 672229138; 885168422; 902694156; 177438902; 621806869; 433511688; 407917202; 501602803; 551556561; 497475150; 27819488; 554465178; 489305573; 209471508; 601662614; 181781090; 514837870; 722837518; 619293337; 316346510; 768958935; 481058148; 217209793; 164793633; 912265959; 1047931743; 303087179; 832744779; 454577113; 927201124; 477015778; 494840560; 808232417; 688203126; 91421778; 248217401; 321161626; 538419095; 132253745; 675156075; 393676258; 783423715; 982508531; 837068551; 70645814; 239526859; 470471769; 554918917; 545455337; 963331449; 560127856; 136295288; 19882326; 969782140; 591461006; 648124300; 585514102; 110744325; 278031166; 145976473; 610922828; 820682335; 249828218; 766375990; 493569683; 402977353; 806651545; 813644914; 250416025; 319859418; 277370583; 883721188; 454519902; 91378704; 170957207; 1051463620; 210214633; 436244456; 393544777; 891989085; 480598067; 319895368; 311370651; 152350821; 183966676; 762572897; 30145401; 141888135; 117941527; 659374451; 374611890; 969387479; 206786505; 57593325; 213994121; 582647794; 711903151; 348884507; 728597678; 833880342; 777113034; 647206997; 523334516; 989371549; 680050042; 687150150; 484817918; 449062743; 34971246; 845926233; 925000427; 512118445; 457446439; 506300854; 872262705; 157023531; 672632477; 1059411157; 253758993; 942499508; 902823168; 942625192; 61026597; 1029748104; 599163134; 319948528; 239858756; 977133583; 296129101; 87465960; 759381568; 806498536; 198482135; 475483475; 907695083; 867062340; 160487257; 293609297; 120404475; 629192281; 356186123; 180869719; 688589400; 596847605; 841598177; 734675634; 460745429; 469906340; 203669600; 715922492; 624143310; 896787087; 400258210; 1053266656; 871583166; 175216984; 578970520; 565726431; 231754142; 1018647390; 295809596; 958054854; 982548064; 839316219; 409132803; 844109894; 1048626775; 14214248; 840031098; 581099957; 332461898; 316288477; 588402776; 566683992; 438232232; 162170485; 45573287; 768879961; 328704020; 956276810; 568463110; 1033203706; 563382482; 1045902006; 322919355; 955622143; 997300779; 37494940; 1033376581; 567894421; 962613592; 7221108; 795212309; 1009093794; 440358146; 569553464; 643712984; 349708733; 442870839; 345873673; 1064935983; 371326083; 750886436; 323409961; 297325440; 886649356; 876746361; 272904509; 23431708; 1009823403; 733061256; 118259610; 945843871; 35524923; 933251194; 1013415678; 476414605; 575224220; 985199582; 206463922; 682602155; 358680462; 592690749; 687077961; 873554677; 548037387; 917154608; 58465359; 155155092; 639493822; 207921658; 404450773; 459908529; 208310593; 439229154; 761133553; 392222775; 514462560; 904080338; 645867801; 890160685; 172110118; 187879451; 439213606; 994788168; 576828793; 78989678; 876226031; 300675156; 816522305; 14913827; 929699794; 318559634; 998179268; 819557047; 818498248; 276994026; 261267578; 119338590; 325759427; 12674395; 316495528; 437562219; 1006177380; 377442895; 1055045975; 992321580; 920687317; 1058273447; 823040686; 339574575; 940895888; 315613614; 970048092; 723968997; 359334098; 43464357; 442604282; 858512506; 607794453; 941083944; 85697646; 856114226; 275934880; 895758982; 1040001936; 184271918; 226950942; 576612805; 3142498; 75320052; 397706049; 195672279; 592938953; 175061452; 450213192; 886196516; 680727223; 323867854; 872499559; 63597607; 777406569; 294695266; 787563755; 759649018; 814170242; 636551905; 391421136; 312170729; 326896162; 429806394; 490857966; 578779639; 953643194; 811099353; 142461191; 345758142; 526395936; 759526468; 516979942; 909291917; 778866947; 999929450; 759026857; 923054786; 84641615; 546589381; 338737555; 10066445; 27741771; 159861817; 823412387; 663100425; 760590479; 854137474; 51595576; 90050125; 353235088; 933011127; 976725494; 685593578; 508205662; 386903180; 929344546; 663626647; 422260391; 136581283; 296889827; 691183078; 335322073; 129810918; 135411681; 826705335; 140082770; 1013231521; 899657814; 692927817; 1021429607; 110972584; 264228742; 327064144; 395221096; 301041218; 523860606; 748168243; 121765084; 185018715; 34726888; 90299271; 31922073; 583448008; 378124712; 17850124; 566107700; 400194498; 759637489; 35972492; 36854053; 662649260; 1041283430; 178733449; 143595269; 477386243; 61801513; 923542492; 700935813; 1046722332; 626532176; 28364406; 699061558; 366784297; 7333924; 82416884; 1032156555; 12173785; 934816082; 871712510; 720783828; 803857243; 879713706; 1008157076; 3060716; 602306636; 1008331611; 180959149; 494026253; 299010724; 694408644; 67300881; 738549809; 378458501; 539441127; 963489782; 925922976; 509158427; 119587694; 180522351; 641352385; 142931104; 475268551; 270205879; 441610022; 314627184; 596359092; 681470514; 93816266; 646322496; 135344459; 396744689; 401710071; 258691233; 183759512; 761418443; 576343728; 150765563; 694069980; 467489312; 751553545; 524770076; 967727923; 57704905; 769694452; 881427598; 495000672; 56293926; 121423478; 238999197; 1039003671; 432162293; 74426224; 946907286; 334578069; 1065410727; 681039413; 226261753; 546048774; 446918675; 743648805; 39147955; 696796415; 540137790; 449560223; 475252926; 8339080; 301330881; 481699757; 754513907; 342521555; 742093204; 583772208; 851469673; 676732017; 995194513; 829894301; 673765851; 645801909; 715397762; 948315028; 845944363; 502081986; 431157390; 706271206; 440735733; 107423824; 271671471; 984658279; 869134223; 660296371; 1025951250; 696593819; 958958493; 790776089; 181421502; 292436584; 902069976; 717657998; 310548866; 838507382; 929145037; 465836853; 207743618; 711765667; 266266127; 103997892; 270885406; 308045671; 493540884; 440532296; 803064826; 570382826; 270658742; 558228968; 45548946; 952603224; 828032859; 534053362; 381660821; 883163224; 449456974; 768533444; 1013152678; 672120992; 973852375; 169225305; 945671175; 79919971; 493820386; 719016963; 457473235; 1009026558; 966317933; 681933903; 873727426; 460067203; 985768594; 1031794662; 589015195; 553027540; 278300242; 790710939; 901778081; 417366020; 270051654; 177280208; 180730327; 318071527; 442392163; 71427426; 536308685; 541549043; 911624458; 496745311; 67989838; 1015072485; 696394041; 387830430; 525553323; 816028264; 650040714; 61670658; 64822559; 634003859; 692583523; 421468645; 205528006; 394310977; 760516116; 342750557; 775806374; 814861647; 822368855; 36487799; 162174602; 465624236; 135192912; 562791069; 428264345; 241242696; 393061052; 1071762294; 987318046; 868005680; 388386146; 362479303; 178187742; 565477282; 1058127986; 418322913; 917959608; 676541553; 555934770; 552700091; 192477966; 713729964; 430691788; 937333268; 1044960176; 657591206; 631864191; 587437397; 125632682; 1026488277; 834066339; 1020587296; 958091836; 783017268; 1027419964; 341977198; 910527353; 1073443900; 241405591; 129087496; 67295064; 1036209467; 261919081; 1059945326; 291299608; 981092149; 795004235; 984493883; 977857084; 181841677; 77672711; 873631415; 832781911; 788381286; 303903413; 372366184; 860500906; 763193613; 827759786; 949673185; 672120755; 113799904; 566006712; 923040907; 832641347; 517972924; 517852802; 269332894; 330151633; 683374409; 827823618; 200306505; 846322664; 746538835; 8381179; 351618643; 801850267; 356943365; 122407755; 383280055; 533220349; 1020967423; 415025642; 76242540; 465109268; 59848062; 279641223; 145815430; 466282707; 296323547; 362770334; 131953213; 951852778; 908268306; 467881112; 930131847; 845128558; 306476243; 293093551; 713927824; 808362867; 803153325; 224947244; 98646809; 15968088; 1032364255; 189920741; 732469780; 679171403; 421083021; 221966645; 344494683; 239387607; 687529453; 484386569; 965629752; 3162130; 224468360; 484627992; 662409363; 1068671428; 704511501; 780017376; 12773491; 772661978; 650521448; 990637983; 930350246; 983022861; 412313023; 433447170; 125990873; 1047830174; 715343327; 204459605; 189804118; 769952952; 1023171125; 439582929; 322414838; 332561501; 418785550; 675733695; 214711863; 205156354; 803437252; 55957434; 954188679; 459913635; 1046766155; 745090540; 464030696; 322019062; 853170744; 726549661; 303901085; 366536423; 452454396; 499772069; 28361546; 677346274; 866591431; 1012047980; 460864808; 969283726; 1019274248; 371374699; 56785394; 1073497722; 862274099; 1014864456; 841064085; 56030267; 928801664; 499854341; 774979865; 302386463; 880056217; 681668005; 274044460; 230699736; 308864383; 928901368; 820779976; 712131912; 1040909114; 215935719; 921856244; 756133741; 908462816; 18517792; 405839787; 300162359; 137321110; 201708976; 149357340; 75640982; 768257721; 138446323; 397448602; 646239485; 873677379; 655383900; 698378175; 451214819; 756655533; 722421919; 740633619; 794253011; 847640580; 722699654; 1022734819; 256909992; 743122028; 450158725; 836804247; 737968209; 1006032721; 862872594; 744645634; 284874936; 326947344; 469802026; 777877353; 249195881; 317816934; 141471034; 1048753175; 596494311; 1041968662; 205376812; 151704130; 424976236; 320054708; 791669394; 390436444; 720249148; 863475816; 353279564; 274420501; 929373811; 970626937; 1069263587; 432214836; 342745452; 681652590; 82090093; 262375423; 239935203; 367715996; 361838250; 277204493; 338608552; 220565686; 1046471131; 539442923; 11560077; 644651924; 485800883; 695909509; 717527723; 901260441; 561038583; 209114670; 272899147; 609523016; 341693261; 895572471; 878005144; 110484231; 48343309; 736956715; 354372485; 588489011; 573350654; 143273443; 179357806; 974649063; 193061266; 368197793; 699553099; 657384663; 596619685; 752334302; 235962469; 360973904; 749611423; 378540821; 160184267; 593573299; 666136442; 920158905; 863696223; 224345611; 1022184668; 978564663; 13971505; 140995300; 306417126; 766349107; 710862016; 129852862; 998719553; 1012437718; 876632195; 927317760; 228695735; 738455641; 570494670; 988109621; 761762083; 1070224000; 262221477; 445777867; 178385037; 232449914; 604607144; 896895028; 469677880; 691422576; 455861841; 267096110; 277409278; 968535282; 120268914; 661958401; 857904894; 1019155296; 139102795; 769183851; 741659817; 51518557; 1064451865; 263195692; 561817266; 1015218090; 258329746; 903514410; 1036591153; 302702109; 452392378; 493060863; 267709815; 928911363; 321704348; 115326430; 185496044; 456894137; 162967484; 849912535; 914509819; 971422239; 478041002; 200319520; 837596912; 884154361; 119268744; 923099574; 834929086; 296776260; 201705624; 424604083; 880897385; 420773666; 943226338; 268795770; 796071927; 243863780; 236725916; 1039523041; 1069209664; 671354642; 230552237; 547527523; 278374988; 990487027; 80686861; 604050888; 164576206; 75438455; 305082150; 345904887; 277990277; 677544148; 493332647; 457206055; 1019638077; 918776495; 32657595; 954502737; 490174138; 774690486; 813695941; 160702130; 815787195; 1053566872; 825348092; 669778483; 130498840; 979968309; 108344191; 883074740; 110197164; 829861835; 643884092; 1020111239; 598175372; 291921145; 170767685; 588782958; 154754090; 437025760; 84381522; 314145155; 29992575; 808973370; 694374913; 373583481; 863469799; 1056320792; 793879549; 70424912; 1039073275; 90295977; 562365312; 828829870; 72729041; 624276237; 235326584; 45268969; 103334138; 944768477; 204631736; 270641258; 742548112; 718811985; 492221561; 1058754901; 167457542; 1072452339; 24262764; 934697930; 140219357; 221409635; 664814847; 887752538; 82028053; 514966133; 927306877; 560088081; 897475936; 3616076; 144158459; 1037729041; 633950290; 742278929; 1011933204; 606081416; 334624736; 961217606; 956928370; 1049804762; 383276882; 102560628; 1059025721; 519587014; 960232804; 622398848; 973700634; 1023416363; 4181606; 838709985; 568196697; 536169427; 983457364; 926094305; 564793505; 125938921; 162002601; 55430504; 176993600; 315437483; 772358973; 692355484; 931184599; 733226974; 221173304; 921933785; 929008574; 316760537; 1020014799; 205607604; 442803599; 461432822; 394884809; 269691918; 1035115955; 78437445; 374750442; 139834474; 111650355; 698994393; 447509825; 224169482; 297039639; 172265513; 617456868; 367849902; 549864571; 653061434; 619474026; 517617198; 189213152; 768441400; 684657735; 741708892; 647817538; 459989372; 467143410; 821283866; 520941207; 259118867; 126266006; 353650141; 738627617; 374898776; 853360880; 253445836; 756267006; 77088083; 489705499; 758870878; 598641334; 196535379; 15861002; 980354276; 988523208; 652211998; 145861391; 774208275; 348047227; 781821885; 74900030; 489735375; 788483218; 860274913; 1073654774; 267894959; 728446008; 331716357; 162503438; 48569760; 638164032; 112387051; 616437197; 324131345; 897027010; 1069876806; 1028856679; 209060667; 126364070; 919772534; 1063541234; 951356216; 133193592; 613162432; 304238464; 456433396; 853268596; 288125714; 403970959; 509314496; 132479983; 144669452; 4016379; 620222425; 299594503; 971343224; 533404831; 61028684; 26443034; 1018903380; 967320018; 891442008; 943117822; 747143312; 850231676; 943904648; 205130615; 671942979; 400318453; 840917391; 150753854; 366045103; 696060381; 809373314; 438263004; 440602389; 837006185; 771025222; 62005994; 604923782; 918693307; 101582871; 22057160; 919753007; 282998970; 396918211; 615632916; 48028195; 23199855; 813616753; 73912329; 848781194; 40379846; 416912130; 157276206; 728709005; 237628175; 738692045; 678047265; 352997072; 550356057; 467092226; 877856210; 932747149; 1013529511; 156736343; 659971509; 365743261; 1040242088; 444851200; 303811223; 796309037; 1029496866; 638354768; 11025014; 280991261; 658572601; 975357535; 678435566; 1011131513; 780133886; 932314; 339976147; 1020090430; 287329887; 254293768; 1034556236; 444936041; 410515353; 782395038; 183745168; 985949797; 928309276; 420161535; 1002932273; 382684839; 738991308; 907523832; 79132052; 748716214; 97491388; 266228849; 912699029; 894524944; 172863223; 463266609; 651326878; 1025749391; 690736060; 117112; 1060670634; 498120606; 345449355; 982578474; 953487296; 385007822; 136364544; 958130659; 1023092726; 837774795; 891463111; 361634727; 164533407; 910976388; 113207490; 808119048; 669378787; 397850906; 840337144; 831249323; 970525722; 361845883; 821526430; 338548553; 593410194; 217462773; 297624658; 126377823; 88244929; 100366844; 514694491; 837703682; 54146858; 1014936080; 534065311; 606990309; 652852533; 363534375; 1068686741; 481191565; 221390579; 762735320; 220674511; 852597726; 362954429; 842118957; 926443186; 872200832; 835642005; 308324270; 464453091; 844492479; 936423602; 372264039; 69532097; 454806391; 279916465; 532831266; 823540591; 634011174; 1067250918; 621059002; 879647788; 625987350; 475310491; 74806512; 952658201; 224511426; 670132613; 100211042; 662198969; 427328466; 485841512; 105500125; 60645475; 961123909; 1013332501; 440560724; 1072032357; 997101271; 921447799; 17772033; 292706674; 704697343; 70793816; 945589971; 789032786; 1072277460; 603815817; 54405522; 1066139265; 458677974; 331632297; 937553077; 499611968; 139473903; 606233543; 705036076; 1038673320; 504596488; 798333593; 785119363; 837209509; 719224953; 737603040; 260460300; 310640794; 27439133; 1065024212; 987304715; 43852182; 833508410; 197269852; 833175183; 848625933; 8996868; 194928522; 91114439; 534142283; 981661489; 874877799; 910766428; 291667963; 605726768; 423626249; 773709352; 105604361; 361463984; 359182997; 317224081; 907623807; 864246247; 381615721; 180301216; 991215803; 272999155; 867832784; 127633101; 71284676; 970127901; 242703904; 374789772; 78622237; 975603929; 166635032; 358563192; 807779887; 288697534; 667850772; 78255649; 224947766; 10215692; 303878079; 102921221; 1065120241; 421680372; 835408814; 402987392; 432567810; 1060882019; 500066971; 1037483844; 329834052; 1959231; 1041602828; 279061161; 794009642; 157570089; 16491065; 696134311; 894384139; 66864793; 484062194; 326061408; 985828498; 478193034; 139041116; 981534521; 510116137; 802724100; 202681215; 986317050; 1016110631; 175502750; 850899334; 564055393; 872475395; 639034122; 1019285124; 561632212; 586969150; 563993111; 756403587; 130946280; 767322227; 886332629; 666966948; 835675584; 41399852; 953873167; 453695820; 1025386495; 763203718; 414370435; 20651530; 871011445; 156864938; 523629843; 669322839; 924507897; 369670509; 317491452; 312678527; 617085935; 520106574; 1023951105; 635138089; 340597900; 712102632; 477945394; 1014800028; 845739733; 30696024; 452389636; 39435575; 321033196; 104138668; 66128260; 592299057; 119603514; 601911523; 668640351; 313228247; 763524209; 557421200; 303437981; 1002537365; 151734715; 940265897; 177734093; 705681335; 10708482; 686335131; 197280562; 284937948; 342877862; 255354366; 970061821; 608491962; 263320199; 998548195; 936710374; 985834400; 939098410; 243070270; 399718136; 492418865; 563098597; 158523420; 747707372; 11798219; 548827017; 798786442; 107324290; 208656363; 909615059; 1064962424; 213703809; 653620355; 2833539; 742388383; 811879546; 710950396; 490227649; 20577522; 201066991; 869179090; 188624166; 558880748; 529771307; 1033521601; 255456050; 59052681; 1021235051; 138688055; 760207602; 66120724; 946123662; 600125765; 68936007; 1031741104; 884833730; 1059687963; 68970251; 78634446; 733157816; 41219505; 807994169; 251758120; 418609550; 651675717; 235180392; 44451875; 780515389; 199744820; 939396000; 462767341; 203574033; 389945831; 62655704; 147555243; 921014506; 738958339; 617173481; 831517562; 35694505; 823828193; 485901473; 739054910; 509720211; 773889615; 490092257; 457527149; 539953181; 98505236; 717200375; 970636634; 1046492288; 536579642; 266749923; 954763806; 48565905; 271443804; 921707493; 1073492018; 855882222; 511767911; 953087836; 197755400; 1060828082; 1050638277; 873923200; 128036524; 775419145; 679568481; 425468073; 764179337; 355239653; 902243325; 631398983; 995835617; 433311740; 102877375; 260565488; 681320499; 429744260; 1045920147; 906305997; 300456201; 382942473; 554686689; 648185693; 38052557; 1032274453; 512923397; 249333017; 444310801; 1029295232; 246339065; 831819024; 339507739; 821667898; 749765110; 407929771; 52632757; 953354021; 324563389; 864386677; 836586814; 522979671; 1066221770; 942548118; 317346163; 504153188; 882937021; 1012673838; 851890466; 154067378; 1036438343; 16187268; 246909931; 273523734; 984629152; 743322031; 815409437; 79061606; 467874897; 2169818; 650767954; 682692198; 493499161; 882770017; 1007373277; 700010214; 313568960; 974023867; 1069952537; 739377540; 498570746; 2800100; 251280424; 29634579; 525518282; 41608358; 456934581; 1048104762; 342259677; 519102043; 541465832; 549267972; 629673267; 182594007; 923745918; 775687645; 943420069; 186841671; 105729979; 205948762; 622952849; 816874659; 538430207; 842807354; 366792601; 570735071; 980223668; 600474364; 820644737; 340677137; 871879389; 93943731; 512262520; 715640272; 680855194; 832344716; 591173893; 999529301; 296838600; 32251023; 776746480; 483899459; 1038003285; 581681559; 191482865; 92001882; 709071461; 784386900; 41148679; 156704064; 679849822; 678189445; 837394776; 208892375; 716719145; 739382733; 510131853; 362285345; 487381655; 829112565; 456986255; 887585887; 909096590; 1018547680; 988655528; 361022141; 626594885; 942264124; 739185147; 254312482; 847344152; 405889245; 937277293; 636737046; 23636097; 437208131; 444089073; 45099399; 736721536; 706859888; 834532335; 829995165; 931231862; 582705148; 36381689; 140556573; 580366905; 516695759; 487088584; 55921217; 963845792; 883064307; 904221838; 457786259; 372094564; 428395712; 420844039; 683297244; 423705682; 749777890; 903148052; 775735508; 56787808; 378853623; 603072738; 716170424; 955343644; 433360636; 696538952; 12728606; 255753281; 744665399; 710370337; 1024031775; 49079608; 925588146; 109435064; 1064888510; 511466919; 788737491; 393955218; 592900068; 72674933; 336758981; 272379042; 178412131; 812084329; 951738997; 581030890; 659520390; 355453063; 649206165; 369762300; 598724698; 455897033; 624332410; 538277718; 127613153; 803858806; 675588470; 953998581; 976924467; 189850954; 881945055; 174357160; 969971655; 390636615; 127975357; 789129893; 225251077; 367398334; 177484034; 521267952; 612527439; 450458745; 1047242305; 912040391; 582085841; 306822192; 229225121; 956341692; 875037949; 1035780312; 910502947; 644749170; 870258088; 406604473; 40248144; 603632590; 172082672; 873664461; 338721255; 12230350; 214634168; 572639097; 82558491; 776423267; 76890550; 966643596; 159555994; 129459840; 15956216; 751219668; 907678931; 20285218; 139049747; 493424799; 801169005; 539055565; 207044954; 189064192; 667603488; 957880679; 170870246; 1019141314; 1023212544; 930723824; 5815029; 326826261; 15671610; 714277820; 930572319; 204749705; 273654186; 547848252; 20200876; 238194663; 694295014; 116529537; 125771796; 233964418; 800537438; 928653367; 814236509; 862182320; 987571975; 782708100; 663210479; 374067171; 648323190; 11172257; 608595984; 984125242; 545396354; 14013325; 202373665; 992004975; 936395849; 796747944; 782676440; 1050549233; 592067165; 94312287; 59722598; 665025152; 861410571; 645151465; 613511120; 937118252; 121198852; 1068983620; 284938012; 621344605; 131616651; 61586932; 774460479; 382042653; 737005844; 495664658; 871357555; 1047670573; 742352891; 405302470; 186721806; 664463261; 273926195; 264743922; 597038325; 427367134; 327845080; 11605576; 368458778; 769065515; 323106248; 393674308; 265554491; 949407775; 578743246; 563350580; 289818558; 603676941; 291770654; 198961391; 348260331; 289687789; 518662020; 589390544; 371907181; 303150593; 1053954603; 112901157; 170083766; 800519490; 505193787; 805284825; 743592253; 278462760; 255825883; 467561914; 872174014; 812677306; 5115814; 1005552434; 308763027; 796572973; 414499620; 603109649; 454951351; 706755068; 951313971; 12404331; 483123558; 178832069; 955005013; 23178575; 379243127; 698862466; 570153259; 938369808; 818646293; 874624425; 437707029; 410139766; 430240596; 438049562; 758247381; 514445026; 699923824; 583968195; 847700301; 313451152; 146395721; 123691933; 140976214; 82619014; 335587054; 327764532; 432449514; 192526828; 115871430; 116274553; 114081905; 173429739; 990196484; 192603593; 602488119; 702253304; 140155151; 176031232; 209507454; 326607302; 848642457; 637670659; 37226790; 375411162; 819644522; 261867866; 578457285; 225534154; 932680529; 91948169; 819151131; 384270330; 909747065; 746064177; 283331762; 62342955; 482176791; 950326637; 798489269; 913013944; 245930548; 412448212; 380610479; 33306922; 909291916; 353672774; 499904294; 171080434; 424551603; 198288816; 403814803; 159913620; 935382609; 264321958; 114094577; 925671156; 811365501; 30161000; 441796911; 149353939; 488139807; 60706927; 10104619; 69950233; 521216658; 63845096; 313120658; 440157423; 126357722; 992683881; 841689580; 700927003; 253895509; 718918070; 24941292; 303071127; 975618370; 608322693; 449276784; 358321334; 359066068; 1000479405; 253132782; 201697655; 108915447; 654816404; 308157914; 414225223; 601434038; 788569441; 90540001; 118400662; 689774622; 982459313; 603577105; 90517916; 389306346; 253661475; 132109520; 79142034; 841207246; 218870364; 680940093; 721515647; 392296371; 357664007; 778434052; 478787413; 678606241; 800237291; 1028713572; 873733351; 920901155; 144107815; 582744134; 998403149; 166652426; 1070513849; 366676239; 709936392; 1068825279; 767001524; 496501346; 512661217; 1023729517; 540860027; 640833085; 334021390; 61267633; 47371718; 105111306; 387836740; 236118146; 91105590; 478073647; 735615366; 846751959; 658096599; 633049100; 535663705; 490182747; 299910207; 501662763; 96417419; 297603399; 187831035; 761012544; 827985034; 213122938; 602149413; 379378229; 575162942; 155111203; 271568162; 585347871; 737510953; 1050289633; 80579616; 318851515; 810520361; 511543385; 641606810; 333617264; 97968841; 467688709; 1071335494; 694979159; 198356243; 416905582; 914223964; 606444317; 332604990; 829986561; 515894999; 786562075; 342073727; 854518620; 319585217; 934983849; 698238499; 925628634; 84276215; 609116174; 967911462; 40319781; 930211057; 221657955; 221451735; 1072639504; 736590066; 438431206; 1055930621; 766279369; 329750622; 755300226; 629583479; 412234197; 701020129; 586336056; 466028892; 630731689; 272895397; 990935685; 275552316; 366335639; 372112566; 929156824; 662543776; 668466708; 1025333186; 449247452; 619875188; 889915819; 95578916; 464039775; 547422774; 640271471; 104866674; 386090558; 221071655; 93175387; 641720127; 699580917; 963592700; 696503059; 887655750; 879369384; 933868447; 891729917; 311937415; 33302721; 896930038; 213561967; 462888645; 322369418; 945110065; 737595404; 57790446; 842854216; 531524775; 344256920; 1048219063; 651750365; 750075200; 530752468; 384506297; 683462733; 573177868; 110036383; 852669168; 516691154; 897474704; 129757585; 1013690980; 491465860; 396723483; 692104854; 501352487; 866336942; 522604854; 850652310; 599993712; 537451124; 529507583; 915692874; 749753768; 391033763; 96625300; 1035002893; 125613152; 443466303; 860856392; 671835180; 694846648; 259444947; 783633436; 190809034; 613743089; 689388477; 233301572; 540381500; 727358205; 273394445; 604155041; 929846886; 234441914; 334048181; 714626193; 240428723; 310041120; 173431004; 146555461; 1070546285; 247526421; 430644905; 491076029; 1020948809; 362042966; 602446472; 331544031; 569453688; 871120029; 217170988; 552665108; 1069125676; 386746176; 611996424; 909617038; 345888669; 263459945; 716605066; 641050922; 423204157; 1068399986; 514299921; 513912346; 1058985766; 1050068277; 815320541; 1033159642; 366413683; 478429795; 834861577; 847563894; 822977505; 80948149; 687551081; 842034942; 943221838; 15868871; 753945396; 121467437; 730637822; 848181062; 225967887; 101353606; 779914793; 193315545; 43052435; 349851333; 1032453142; 442707252; 33819395; 345373346; 606001534; 214807296; 980650492; 882122992; 291094433; 1006614080; 295249140; 373055237; 670317113; 587673006; 391503952; 376697106; 825090069; 582153971; 708628973; 769666028; 321777861; 638877400; 879583689; 847688952; 778454153; 559644032; 509266639; 605441793; 386834723; 350581853; 229225140; 305519219; 831498902; 801844204; 418913006; 1024288296; 999757059; 888140316; 154228275; 391532231; 616384493; 404461594; 991986121; 638999077; 73602144; 365752859; 685937756; 726785519; 652630592; 44470557; 222767704; 477671769; 230667106; 676305032; 1049859242; 873598393; 222278543; 780899508; 26603238; 64394940; 868121637; 647023163; 216670849; 12033421; 510524492; 779460882; 67429790; 779066151; 903084547; 203629241; 736648207; 955129900; 616949875; 517378640; 408903609; 292986200; 536340846; 710721763; 1019622712; 277810346; 189165478; 379996702; 767863272; 527252051; 105221129; 721564616; 303440583; 855034182; 690193276; 983808054; 492766056; 804338051; 974311892; 214276127; 610034689; 830455779; 66342835; 76829454; 929303078; 681826504; 21344940; 753277916; 177011323; 498402224; 163481609; 492967462; 799265650; 227020217; 271697981; 936244691; 787071622; 566618988; 632492944; 502206977; 1068254038; 839613378; 670034169; 708106046; 527866894; 844502352; 638499988; 284174807; 1026153167; 1045324969; 67292867; 544209004; 1035908004; 991380069; 968547742; 318306165; 108497957; 17527245; 1046599251; 87770324; 722368852; 381699806; 740385096; 212202597; 22694142; 933153112; 414702515; 478938549; 439822356; 305944609; 346559872; 119216635; 977175698; 995907103; 326330408; 232291752; 640608735; 183633808; 724826730; 96715150; 440109829; 270770684; 323178018; 906281174; 674271957; 440574682; 595513861; 330111319; 888824660; 674240204; 1010346902; 113918156; 18333021; 661362208; 1002020021; 571365187; 880637181; 409017607; 273005479; 83424093; 62738795; 556468623; 37680966; 871407684; 912497166; 134011757; 819260314; 23746261; 167299772; 664995801; 736672131; 825692120; 826253476; 891894632; 42740278; 518030321; 120002282; 43597321; 992189275; 849937783; 895999133; 429589543; 842594592; 726006725; 683513449; 372711457; 428540306; 166684410; 1070725296; 743883847; 86553995; 968363213; 71621513; 884562132; 960339117; 682774244; 867928431; 134832782; 385607357; 746131925; 417184021; 415082293; 21101431; 132223545; 1071545713; 46272477; 1006886513; 30254369; 313701410; 359755917; 506042272; 200043405; 260055328; 82858987; 397273447; 629033521; 443299568; 1028833947; 117347014; 796302865; 287603876; 885907915; 260579056; 549150682; 552951325; 1008203315; 330972506; 390620024; 607801438; 20713881; 964400185; 129512797; 89264525; 627452019; 621641551; 812535170; 474229023; 1068145563; 75015003; 221537251; 1000879919; 638158146; 279376960; 840422818; 46273409; 397954277; 1059868602; 440517320; 1063688092; 149674097; 497883545; 506889284; 496907004; 378062997; 478388408; 269029692; 791997960; 1045274538; 654911775; 452263173; 745301347; 309972185; 248903250; 356103883; 444958819; 744107837; 683485126; 240613330; 836954703; 840903097; 338389074; 55284488; 440899151; 848700677; 281395894; 313229461; 771771502; 738273258; 5339651; 291319819; 134676219; 1072577570; 287556819; 214671423; 626380386; 1048377367; 800142322; 577544447; 675315417; 184690804; 717315516; 227950335; 930926149; 29330576; 448315749; 697370584; 948251743; 582190389; 22110991; 158175446; 231422091; 262628683; 902269981; 229101118; 684003367; 207089540; 264855502; 234033235; 43817300; 7079744; 528684436; 214049406; 924232187; 215739736; 843394004; 154650737; 764372601; 439179860; 648941680; 613663630; 573277287; 356868499; 918006362; 330588041; 293191609; 1030510396; 704273887; 6910518; 618528070; 1062997971; 67278697; 977368749; 955945430; 428919991; 468421636; 202675969; 803646207; 1018023981; 447852097; 291793992; 753275694; 416426103; 551039455; 208313672; 589614621; 251429750; 51223623; 177174059; 119849159; 287472791; 664263906; 329378452; 166351503; 266515863; 166829895; 898869008; 987953212; 269818547; 291438058; 576488493; 1068910167; 227247767; 1034712807; 665057801; 472296470; 1028911655; 817578666; 857814053; 1028356166; 604185768; 241725514; 326168038; 107812896; 315922783; 508782681; 1003475888; 866573209; 417464853; 952575998; 279727662; 274416929; 123823110; 194415352; 168941585; 188930366; 68731385; 654399236; 137457722; 186908967; 733969422; 323995471; 180186061; 287516212; 796596876; 804731800; 533617375; 179125370; 77726060; 382300332; 72158775; 539383578; 554949176; 989035295; 144166534; 97012645; 250401431; 809046133; 974269122; 561938330; 32684366; 816170719; 384143562; 749110322; 770610484; 883148665; 683936162; 900536280; 921329014; 618790189; 223712563; 445095217; 988595240; 761154124; 748559483; 931459469; 440754462; 908626907; 815537505; 1037581605; 147696223; 103409660; 110356816; 123447593; 691979898; 602876242; 399344557; 919265422; 779065860; 574199962; 77925391; 694005725; 538618311; 871554036; 866987084; 409040781; 802626478; 1054384063; 1044198701; 500219792; 208906868; 852931302; 854340280; 484163117; 813184906; 903428743; 234847731; 506335689; 586897624; 440248978; 145658408; 454160559; 92668190; 601472967; 433764781; 544350531; 321697654; 715028970; 944371142; 611805249; 652182478; 876158688; 232962016; 715992234; 214224754; 409942481; 1070714321; 534442383; 296503129; 604373931; 126904147; 342984660; 696518635; 489327912; 249967921; 772369668; 815269033; 804358776; 76884976; 993926341; 741415554; 981545739; 213505352; 298355773; 773839703; 351824376; 851325617; 65281995; 1001391513; 575870368; 975278668; 696411954; 790921447; 384927374; 703896168; 202817130; 529040442; 312660396; 89479560; 1012685485; 733612563; 58355786; 1004835614; 41994512; 464681213; 530833156; 988338225; 606920079; 459525546; 114969792; 397199608; 771426673; 770377820; 133808804; 1048448597; 934359654; 614646651; 704140271; 1066384084; 961192929; 600163963; 199324000; 96035180; 304129165; 1035212975; 906411473; 161253321; 548245155; 854284244; 483321609; 485583068; 422892220; 51445242; 515022730; 913408258; 405422338; 948621970; 1022770315; 107380248; 253673465; 438680498; 677253331; 676259439; 58196664; 1022362835; 476691252; 715448162; 243210866; 546077466; 14231839; 1069453730; 206276504; 284074329; 161499853; 842322183; 376253607; 207479841; 398982101; 300985521; 438188308; 579781563; 761594488; 991474115; 996933332; 196264297; 659077989; 664977276; 5491233; 1026456326; 125520391; 880930888; 160172038; 562324228; 691261990; 255615073; 1098989; 37485141; 655855057; 601601087; 887785385; 622265547; 597420200; 206249258; 816667347; 633975450; 156204175; 1073480185; 438317929; 21957255; 842595383; 547912799; 318732351; 646821305; 698950345; 510212490; 458958495; 50390671; 305032091; 608746410; 591418008; 492245532; 838379178; 1033018707; 193558550; 917615576; 627262946; 685538147; 572883739; 939733893; 930277674; 593257424; 344627826; 147675719; 687182829; 308602576; 337617983; 1069029965; 728251901; 568476061; 1005407600; 158237805; 909310684; 498788142; 475488672; 814501513; 591017299; 817531759; 120675226; 227365994; 523237654; 370264870; 945771972; 769827303; 223311064; 130353672; 790570458; 51964615; 13204649; 516732051; 549870694; 594824457; 614875987; 169513766; 893116355; 111610195; 35527011; 269816924; 823629871; 266317585; 707789153; 222394176; 1019808588; 817131571; 446183589; 151375443; 888938169; 382250043; 268488200; 693105329; 593019193; 493308924; 527379570; 371900060; 912469670; 884367687; 952523933; 922010899; 165864206; 944056403; 699717517; 392679998; 22866129; 271063706; 947643646; 1017712296; 51794061; 917858861; 716182342; 765529196; 475673784; 212980861; 51066434; 823238365; 700277830; 1002546877; 80020713; 183759439; 378980364; 120424432; 752234678; 331654418; 579614593; 867386137; 1018364833; 209227968; 140774108; 242398604; 473935074; 616547760; 260995020; 415363757; 733512959; 383962956; 709938460; 961489461; 776331124; 523087817; 573503875; 818886559; 208562156; 1017724324; 501543676; 471129959; 883901275; 845575856; 375694605; 923830277; 402468630; 536916796; 1013142111; 110427252; 336560884; 451407572; 915981824; 1004915887; 590944366; 204696884; 1069569841; 408993094; 368448528; 319915283; 531076555; 352705779; 834954821; 273322326; 814009962; 162520255; 692047230; 975436622; 369276227; 493880360; 434483217; 113511467; 250001020; 473091073; 12124110; 1004636216; 261469298; 251053433; 249196862; 232925881; 808903769; 936613305; 554817332; 422779572; 86117552; 604291917; 1037876977; 205930396; 539720833; 897381991; 645598618; 558868259; 12895094; 257372270; 510110291; 344569907; 474686075; 769644323; 212681755; 7029170; 850102884; 206784404; 779969487; 271224684; 530677319; 266437531; 1010191586; 96125566; 858529691; 895720147; 786222007; 954138968; 264106319; 779661018; 5073801; 652037860; 32601047; 868113013; 255042061; 849592119; 169179806; 163911013; 896440735; 588766943; 801313978; 1016482887; 772219819; 85360440; 458650597; 134462107; 127721860; 665407371; 508232692; 41279688; 892148342; 751286202; 319806922; 621256432; 401441937; 752146364; 411073338; 974031563; 72102765; 228205245; 772719448; 214550054; 542538744; 764786464; 873066656; 587200104; 520287868; 904235770; 962556953; 209854016; 271509067; 98935052; 738823612; 557459751; 254580632; 989685110; 79090811; 601492253; 516879676; 341438567; 896776209; 319255407; 508390680; 836269274; 1017918416; 311994546; 114196019; 65784328; 900801068; 928078319; 71681868; 879508127; 962312184; 511952463; 725563485; 611952742; 77884638; 31603624; 360184840; 1054568398; 36410932; 991002855; 757936247; 893648094; 1059919962; 700103100; 179305430; 454684554; 827497088; 989841869; 890521868; 423525908; 333057220; 635197018; 776470131; 721481204; 752792436; 889818976; 569215091; 66027977; 652471998; 170430292; 537066095; 672811457; 396083374; 877155636; 30203216; 158297975; 179752120; 393684006; 724496366; 739389850; 273297924; 333521555; 585024812; 979613144; 212617990; 407086138; 62775484; 891445392; 390340491; 65869383; 363054043; 407095376; 566976090; 299825919; 776711146; 332893945; 267234345; 451749780; 1067574916; 445650434; 166063511; 1034311704; 106370168; 161509816; 28874979; 264104385; 1038094167; 376879934; 566836156; 262282529; 938325201; 619991817; 329801467; 979823232; 84375679; 335833785; 492857769; 1009158984; 425239507; 807276635; 892220562; 870362153; 422214851; 223786028; 590692566; 380202314; 367748550; 344517089; 406788926; 42069683; 635070910; 926722796; 25132638; 543882112; 541190394; 401090729; 543896819; 583668099; 300222178; 944297294; 331809548; 92481993; 572848369; 177075327; 1062404018; 218051158; 751702699; 379394940; 478625840; 42042867; 144617481; 762913063; 852180563; 881524850; 691295446; 392644808; 577583313; 532342728; 716283062; 833507716; 858027566; 63957760; 623159664; 998970887; 825110109; 952975114; 821723558; 129905081; 506281555; 994434580; 916382273; 289763971; 585479282; 1047389287; 862582943; 903929065; 1068700635; 891114938; 379984062; 185018641; 275493909; 119417777; 415642639; 218985212; 394749062; 393542510; 324242890; 828986248; 906685737; 776806212; 842264149; 154466459; 983736763; 472639592; 411563660; 365279282; 472743709; 816046010; 737286733; 676465745; 381176525; 702108821; 1057323399; 185395690; 1573744; 195986400; 41905722; 485316652; 700281695; 231719261; 945290036; 855010662; 975920020; 651343820; 307289124; 733395326; 92891608; 11440855; 559795783; 530061722; 627984476; 734898622; 157500064; 91184903; 883897962; 533261069; 501770786; 759694332; 630329723; 77363011; 147470442; 658746575; 269402287; 97207951; 80988572; 489330214; 649592426; 974843903; 147692850; 658754789; 269068182; 556210398; 554847030; 286983384; 48424576; 310312799; 843546831; 70679561; 829545163; 136008454; 789649148; 573168218; 1030165929; 1022204374; 982128509; 713381975; 324254644; 47042362; 296376754; 33486177; 286817636; 940240571; 836595478; 369209554; 159058779; 181551822; 916999703; 655526494; 392583728; 952399732; 98074540; 781758625; 754187482; 633479386; 756903379; 937071733; 597703091; 171528076; 327304838; 596466161; 394130469; 166240481; 785159855; 568158621; 1043206453; 312742701; 762301640; 85431552; 456601775; 619047926; 474042031; 596001659; 431051933; 199542207; 393707436; 981901390; 834219522; 317987542; 655714224; 895854147; 772465375; 666708880; 123494912; 633682186; 298394264; 706477449; 509677540; 256375709; 798006495; 48097171; 921606152; 407588790; 631191508; 95086115; 577319080; 177101358; 242825043; 221756585; 126540935; 839816681; 922771090; 906548522; 264852573; 81248875; 207014120; 718120306; 541697963; 739121441; 860338016; 300798035; 524813994; 811445259; 134719034; 930356992; 259977856; 8259782; 882231039; 810597334; 965731335; 964806598; 505782199; 735316717; 193236514; 534618059; 443897802; 986122784; 513214312; 115408781; 887190676; 364086231; 835196569; 600805313; 965235874; 707163695; 697481356; 543625043; 671061247; 407392406; 931655995; 222622521; 614548409; 169846454; 912125263; 438624162; 385466549; 470893033; 225126156; 60157746; 681545181; 144427705; 294606958; 955849489; 301461074; 679771500; 920375164; 700635818; 39446686; 994951427; 917931069; 868789601; 161786223; 544404993; 1039415510; 1061527624; 496291816; 239877181; 302728901; 369813245; 191488593; 825309507; 133000965; 281571447; 380124540; 145018565; 1067325134; 71391333; 1073357254; 863670673; 40173; 275003412; 1056581665; 349360271; 13035710; 754920134; 333711988; 125743951; 162494038; 900477367; 7049569; 307752432; 91284432; 696604616; 698426843; 355364117; 553148253; 887600561; 205906268; 680325168; 620537299; 386673233; 995996373; 393013391; 802460714; 784447625; 957313161; 290424915; 70603592; 722932943; 605131689; 871963621; 898211018; 248456701; 888745250; 15031183; 632746791; 239795223; 665233340; 341689329; 899076595; 149906622; 922528163; 62722896; 174678788; 284067954; 870009278; 429626864; 782948261; 895572635; 1029535712; 575763000; 606999548; 662864081; 279501950; 886733009; 193738109; 796214391; 220552270; 331124523; 917616319; 252856350; 185184502; 1062998693; 845939919; 744238753; 430959864; 223938421; 458161883; 543153649; 349203745; 366789986; 2352865; 741506751; 163244904; 223061919; 569206379; 232064414; 962300245; 445852318; 839513915; 48762995; 918469093; 851369465; 1030433147; 594050276; 437627677; 873791778; 352095532; 389454645; 695252719; 554053833; 796330745; 21379451; 254129971; 548107550; 412984851; 389641665; 779344041; 1003970069; 139003293; 78675720; 979351239; 601741570; 832380815; 296757814; 468905367; 722125970; 701744739; 100175181; 627864709; 609438064; 162639249; 1065973202; 957422147; 299808078; 485144133; 691935785; 14351066; 150518686; 729382520; 370877574; 735273085; 653020650; 4544346; 114066040; 176376665; 378391106; 113145839; 439272512; 669619106; 663786332; 957554327; 944909891; 692634043; 878387882; 614372188; 366281983; 465984685; 148005116; 277618459; 946644405; 915825551; 886801405; 923720890; 640205074; 809904674; 991838490; 520881317; 64583020; 1023451020; 873810156; 600271553; 244369306; 51407886; 765575873; 330088454; 1008156888; 56570474; 768966065; 776544931; 241419580; 711847838; 542101161; 897045390; 221677853; 1071086871; 692601098; 905840865; 111992138; 164668115; 435534822; 304226265; 674932484; 355413418; 515016876; 602678875; 533588169; 264622684; 815506006; 264802901; 362787654; 764037734; 944976463; 881573842; 813589605; 102693532; 740790094; 670923901; 62610094; 157321141; 510687117; 559877414; 1044650025; 593143811; 619026431; 42713197; 935263555; 687432489; 398049338; 585770772; 18040109; 619248543; 1005639437; 632526743; 733026393; 661355832; 387726526; 260570820; 1050638493; 345352280; 835124999; 225316541; 568679944; 507787928; 987034119; 611827378; 158597062; 36499043; 120306112; 117650039; 1011378528; 933045294; 884253274; 514304323; 686466356; 691681375; 141339085; 378317906; 945385114; 892845480; 852591731; 926952521; 673969323; 301667681; 205167487; 1041007147; 672373389; 402191061; 434902588; 354681944; 582962961; 806794421; 753571900; 465364346; 936567006; 920470033; 614178674; 340271820; 673272171; 850764408; 97267422; 424330704; 160571547; 147677706; 766313285; 833772034; 432857426; 682608282; 583310523; 520992099; 48847464; 266147214; 851189647; 288444127; 686650671; 406234567; 1027640843; 238713523; 926713942; 876240143; 117999983; 536778114; 219177162; 704761222; 787498089; 634292262; 44788040; 698157381; 36426572; 620941864; 56826345; 554789618; 26016588; 876106077; 465776244; 1045765363; 279926898; 548228267; 47546067; 733787881; 1058784103; 330815579; 609863238; 391296311; 870601306; 919686265; 460936357; 895254067; 810078858; 349809462; 71650270; 737299361; 1015940037; 263585387; 546495593; 734210649; 1001272991; 580040450; 896384982; 988827834; 84883350; 50872836; 625581587; 160274079; 350061107; 894499874; 579718521; 671652002; 954029269; 8594261; 251161553; 35518928; 556666900; 564668588; 565033619; 688110615; 480624837; 84817651; 541313196; 256419978; 720997874; 861363468; 703480019; 629924759; 527836508; 230624691; 172672718; 1001468295; 173827272; 88622353; 572695636; 253758192; 447017403; 257667784; 799194841; 527933766; 1029056472; 746543565; 186552826; 751456025; 314762200; 925432231; 459264913; 109649682; 368143186; 861559701; 480517012; 58286201; 252982763; 108756824; 1057081168; 660785373; 506237871; 500501087; 1021880441; 854109539; 776986593; 458421817; 371603837; 151696047; 667361295; 395351330; 30795321; 488762169; 37916418; 993807892; 535702821; 38331232; 551054270; 827812148; 378128877; 1067835744; 318952084; 504517760; 273115951; 578894488; 858643017; 443943600; 557542305; 236082163; 845326083; 327958132; 415375944; 24097137; 3832964; 730355362; 822279263; 139008356; 903851906; 743429941; 137278524; 373119378; 127455597; 676710460; 115924851; 636466950; 190110607; 233350019; 1049918869; 712595147; 836868846; 953208986; 33213082; 793418887; 186582801; 539859798; 110243157; 43338451; 165302211; 214179190; 375441205; 309007650; 515722247; 1051191215; 612776187; 724860246; 131768380; 656266945; 49476906; 1066577568; 44264220; 428835992; 957703493; 679339573; 577506833; 353161888; 979404753; 1020987078; 734642469; 142648608; 656973356; 671744530; 264898597; 3526450; 408702481; 941538040; 663854737; 150987730; 176366549; 379578883; 75417833; 1049792206; 960079065; 219185036; 489223983; 452295802; 966028230; 374155140; 515941509; 126331543; 837398981; 765533918; 300248753; 425122644; 373455975; 709675675; 700001158; 745558152; 363901651; 937019805; 535429234; 754376400; 332888247; 835624588; 547367769; 751648751; 976518076; 830894900; 856291859; 692668366; 688298963; 744468241; 975051169; 811809434; 537611321; 274557366; 396171892; 17010737; 470637050; 127810656; 149477480; 976718602; 216353360; 851407984; 748838756; 259092151; 478971495; 768750372; 792773008; 202223430; 48028342; 1049187032; 30030772; 600093917; 968833754; 828961191; 451790503; 685593272; 578502464; 372634465; 612341909; 51160259; 775290930; 257924417; 290705978; 1056088503; 1041592657; 331702489; 971665599; 987998837; 799314250; 177809279; 926032498; 301331415; 333186638; 26801362; 1043032672; 294369886; 631466167; 791213463; 991388423; 412019084; 671091784; 819400906; 849218913; 833092920; 443316252; 468937744; 978218329; 519815040; 244272327; 107733029; 798912155; 538321342; 334969042; 132591211; 569773151; 673953036; 112376816; 681367770; 750498867; 10395198; 281053736; 644832507; 269385253; 516741892; 1016782423; 525298284; 240729078; 506841608; 917551359; 409056684; 471981570; 961162722; 473940045; 832293867; 720180432; 636962021; 39466379; 1054758798; 15473228; 782174540; 665196577; 595045057; 945469511; 902733942; 350079310; 415966364; 589284443; 732483445; 331235987; 589319815; 327239974; 874748206; 839693734; 664396862; 946768334; 115808709; 679779601; 133238207; 532163406; 580741755; 283350757; 457477942; 365050588; 239797445; 634052710; 222765367; 304391305; 480706759; 671372590; 587112784; 392095901; 870686021; 446008439; 403351953; 703787338; 369647092; 523258199; 485858071; 343635206; 1020203291; 771350207; 595824930; 994796273; 638010971; 149673524; 753098808; 263976761; 334282746; 980582061; 654486803; 603368965; 135001964; 310335964; 95711746; 581725994; 124473348; 621164104; 981622938; 481044855; 152179294; 606556005; 232670847; 369846807; 959464196; 339742715; 787956159; 873184562; 468209470; 747932435; 461340987; 342818157; 287762901; 177193922; 569766107; 1063625348; 278404374; 135250102; 789366697; 361172217; 643076191; 733429082; 1013501882; 734813019; 49108510; 540984804; 348545392; 553159729; 958350744; 144445265; 777155870; 994056210; 1040258544; 624616992; 273266491; 445472648; 36875324; 942237786; 171075867; 511675382; 411163312; 962916236; 647485853; 1040869583; 671100613; 473619814; 362792147; 42929445; 55194442; 1071039583; 1010877614; 102323163; 756349939; 93066650; 783036924; 507604289; 1042123912; 632867387; 885539493; 865968670; 993550688; 325817969; 600365729; 48486366; 466185718; 912421495; 103649855; 493286718; 491889247; 507211377; 644065153; 247789619; 373486156; 745283621; 1025575732; 341655569; 365153428; 561829711; 880997681; 41589422; 567090677; 471329542; 806404325; 846320613; 638006579; 828054707; 761453061; 422430426; 987887663; 336656985; 617035204; 186737042; 688896138; 794660421; 377132999; 589802031; 505735282; 396118846; 561834751; 618869247; 418074048; 528056895; 821198836; 889097711; 710932440; 931190006; 115969840; 747862825; 157487351; 131246898; 474975478; 169109763; 85509046; 433918535; 836127741; 537919150; 338692431; 667073087; 317310881; 15408721; 404063803; 850015929; 814948842; 721934432; 57951116; 661613031; 362145038; 718210792; 637787224; 606261580; 156320986; 930195767; 845461451; 572116716; 653711095; 478725932; 411443331; 175052496; 1019109464; 985143960; 194463121; 771973101; 728735097; 788549614; 730060199; 57967916; 459938160; 263796929; 613405322; 1003457793; 822255169; 341914062; 11481813; 411489811; 111368421; 273391297; 865281911; 564808380; 736992677; 687373761; 315831514; 110294073; 31900362; 219619258; 811400511; 887817050; 147906076; 47742588; 868676441; 167706724; 525614198; 641794497; 757573754; 98167744; 299156053; 865768686; 362149325; 594280654; 27673292; 306008554; 209194053; 883195972; 112331429; 1001942560; 350054769; 703314689; 341010076; 195966634; 838858699; 468809986; 28063384; 516880901; 4012167; 996118576; 928440369; 531262826; 17722136; 407615284; 361762628; 953139223; 858086304; 446006779; 634957818; 138660065; 540872641; 431143824; 1040763339; 744212506; 127596691; 262889501; 635260815; 738475129; 284194699; 849242744; 509363742; 685688914; 263488791; 785916240; 320063810; 108642219; 981122001; 432818205; 333529814; 1038442731; 249652842; 689743840; 812959047; 138365899; 675241638; 1005057781; 744238673; 829841698; 869074746; 552895001; 622153599; 698831769; 523346207; 442587682; 640268387; 418069245; 868730725; 160909357; 876857954; 640623414; 58467627; 208815893; 1071209792; 912698284; 637170595; 268234034; 527012287; 386826637; 1015169275; 717893112; 453481541; 980747845; 875980164; 273902676; 802613892; 428347237; 121022342; 255802536; 714899176; 303750545; 607592468; 1018190607; 591975763; 144365815; 556562392; 497386208; 666198376; 1072619817; 570117902; 811062502; 369993069; 930021690; 331799625; 748860473; 315206805; 1055793132; 342886769; 873991751; 207996610; 726859483; 971311266; 433889339; 211555923; 259965588; 408515003; 252505136; 662196824; 815789796; 625450238; 816570014; 250747662; 545176915; 775347766; 241576393; 107850220; 521085944; 1043698116; 887980417; 680957804; 75790765; 476828887; 982342969; 926403565; 345855587; 192336007; 635327136; 870282559; 976810327; 374332110; 877221247; 914918937; 765052582; 907037845; 743342751; 901347105; 885306052; 501494216; 745719996; 701116493; 514408761; 769775792; 556626176; 279555017; 539841107; 329799479; 261022062; 774599731; 505632920; 880728488; 600501384; 803138777; 853375326; 841115819; 394062154; 847762620; 1021244349; 676135594; 499323636; 150443508; 304265211; 234937294; 508763564; 368811086; 1047228032; 995670542; 584021836; 774111154; 675578287; 607344059; 263094258; 332179785; 284986086; 492245040; 418142709; 229654266; 949024408; 113599007; 214637805; 1003891532; 85239181; 897873171; 29755835; 598939753; 94810775; 96307116; 675301057; 373323104; 325197481; 742157235; 148723518; 200071092; 422070340; 334223622; 498740291; 125461899; 877881108; 622425274; 398444644; 893797; 740105962; 865645175; 719924848; 127548662; 661377464; 510973664; 217628225; 372404279; 698333161; 416907535; 1068933825; 156947934; 439137542; 735378821; 823888846; 188218380; 677855809; 131117198; 668419226; 67826828; 164584432; 1043712079; 520043352; 342596292; 986584113; 350338996; 371799880; 389993962; 767720084; 495916815; 399557768; 616879938; 597598790; 1023379328; 947078994; 344415890; 759461089; 1001309402; 631789158; 562086647; 730896818; 554513776; 178494723; 28151045; 158808123; 161274323; 607308266; 399088694; 1061242894; 845251608; 300524380; 46860493; 177263933; 873782908; 604561802; 551323484; 391241062; 980414571; 68341012; 117868329; 935071955; 603028800; 790375456; 617505040; 314742445; 914367677; 79427916; 214815766; 985073763; 270586140; 1001402002; 1032445869; 145801446; 577181765; 80969308; 430705220; 151621713; 165825296; 63395891; 73873002; 183987661; 974762242; 958546326; 318996458; 213122214; 1057488069; 395730197; 1048808912; 455730907; 565734529; 119280015; 915359088; 88650628; 2699961; 357376985; 826858834; 226287386; 495814411; 265449129; 787076840; 300200654; 378872217; 530140314; 801594868; 435195744; 942050866; 1055685541; 359772298; 510707514; 561136636; 725166343; 206271302; 11999301; 251736441; 527670284; 505981271; 665692468; 1082442; 336819623; 74518522; 677216897; 463286828; 761367091; 1052113771; 553756522; 393574319; 500879919; 849619917; 576329430; 801759889; 877396241; 522121807; 187332085; 898755445; 208290671; 158269958; 933681106; 255523952; 773872046; 741719409; 727146108; 987063567; 916003133; 681064851; 760612935; 258503630; 140939077; 852527249; 1030300727; 457623994; 674470788; 626378087; 199320298; 161520249; 501407262; 720209822; 209179983; 42073185; 739390915; 543445879; 979462424; 622995217; 621252068; 406707767; 11869513; 802570080; 648383497; 151270918; 121227813; 577885033; 104013482; 986167089; 637054403; 344814620; 327567551; 59876492; 66235999; 341782286; 709455601; 1003208846; 896709713; 23891090; 811514538; 684986123; 151419688; 286236840; 612891462; 288869016; 94065842; 62534770; 112271471; 1067850167; 167461053; 815062654; 278628394; 198869106; 630911386; 582322714; 302403835; 212017847; 831136903; 790729052; 458086330; 456605035; 56019546; 719703289; 179982537; 368878439; 458028947; 900249650; 816083152; 686272953; 1024224434; 126541269; 743534299; 946019160; 170847625; 686680652; 868469655; 785290594; 346292233; 553066176; 100203572; 473091412; 820604919; 522913483; 587356445; 322635644; 196320142; 58662420; 159654622; 916893881; 379321704; 240711038; 101172917; 953224038; 679162237; 997106082; 214614576; 197052478; 838551523; 223381304; 203160948; 72099664; 61972946; 422241621; 405924008; 304866088; 856842035; 719211048; 715718741; 200929245; 922668489; 961185973; 937544065; 45524506; 210621365; 199690700; 754100501; 87158226; 976984282; 580919258; 336354815; 327525219; 266235990; 681547720; 827593814; 609728908; 936601315; 297956857; 533825060; 1042199763; 57218537; 274192976; 503430053; 286391323; 335338263; 530484414; 552988650; 780513600; 1036206449; 710855816; 199093191; 932609288; 97550226; 846367963; 746879474; 735666801; 327011250; 31591919; 362581759; 975165829; 549082066; 1057043855; 535838193; 364821517; 146250361; 14128073; 605486983; 665860191; 160777513; 607625628; 286656587; 803424783; 968080307; 823933813; 924276623; 784318872; 777416123; 939296697; 638392987; 941425380; 579998634; 631608783; 1039636913; 798455196; 34513947; 388099555; 200550921; 594535201; 370605752; 458095472; 733977931; 348748238; 975883091; 795696249; 834762641; 694086297; 183761008; 737722271; 706575402; 90398169; 341328735; 85912306; 50989323; 626979246; 311902093; 803226660; 266722957; 137172387; 73344154; 869391809; 71431796; 933100191; 388602407; 109561496; 490469978; 1009496675; 929012577; 926066374; 1051173712; 59407967; 132416467; 861504829; 1051040801; 492850450; 912037483; 580571887; 1043081745; 1006398848; 754386163; 877921817; 179979160; 679993011; 569275160; 110872558; 885927000; 195611395; 740254371; 348261202; 476008109; 217098918; 927735908; 785280213; 595437364; 861821557; 421967928; 831406683; 305917337; 22478823; 313071757; 149202552; 956820398; 1030769416; 518755204; 479490469; 579167347; 854886182; 249591800; 184970046; 601651583; 230581357; 769558147; 477977747; 310357700; 393347309; 193649741; 534494635; 84130997; 780281769; 39737968; 956732998; 604403612; 112221709; 382418287; 764767931; 612153337; 535451021; 591628570; 343261663; 400162664; 526830576; 190242017; 499973847; 757266728; 208722445; 582307060; 697080504; 70470497; 1045461034; 528898709; 484519276; 1029857712; 1066142500; 702773327; 89045585; 521805293; 886912906; 573283633; 108007661; 802758479; 386145720; 538432717; 119864555; 1015272015; 148998947; 575000443; 254855849; 76751692; 127088187; 164689294; 766566750; 209275604; 382467358; 945266330; 260389528; 599696340; 623753622; 294100966; 835646698; 97570453; 734670031; 659019348; 741019040; 250049223; 584789118; 423926141; 525286434; 191780386; 445557428; 540119060; 599515969; 784453246; 29943338; 919248406; 192876655; 755017849; 370509487; 263294019; 220134639; 251553342; 967479703; 64383507; 85085987; 59641059; 882208224; 757838054; 941005705; 616722513; 1043492865; 331659430; 464669887; 878440540; 196249303; 917191702; 556544823; 732995620; 446546491; 640662472; 901172639; 566545110; 174716615; 408195268; 181813668; 451001987; 913151062; 347636839; 128325442; 236208253; 47545126; 1070063985; 220283309; 105687621; 777083196; 680492877; 580318938; 890080258; 690265309; 920207674; 235032331; 647668328; 71157398; 409798682; 964597918; 511616166; 392247888; 356334511; 1017399996; 128995833; 606615707; 811608795; 592165031; 369357659; 353083210; 567650101; 123412649; 889609620; 547802612; 511953374; 613664120; 1018147398; 425527616; 206773296; 277420575; 878316912; 18456225; 646447092; 768843568; 399198115; 67764529; 809890662; 375675212; 1062841967; 668155145; 912568661; 70868746; 294693504; 753164791; 423351200; 35454661; 521794040; 641341388; 941234566; 720006492; 235126017; 94216195; 283257228; 613692842; 316476649; 341071927; 502161300; 969420077; 73250160; 566179831; 791309173; 772161144; 856602484; 618695893; 587436313; 829393443; 225668055; 238538951; 751944945; 344451981; 308071193; 503331099; 692834742; 595254363; 660681422; 18196433; 983423486; 732233739; 612068237; 436877325; 503503717; 702843052; 481007982; 185710748; 1064465824; 1015795179; 866883903; 1007915169; 986306266; 307660827; 28890790; 410592344; 249095124; 963791507; 332691711; 944615033; 239022983; 801040061; 25342080; 1027676196; 296245436; 826409290; 908218484; 1032773469; 1055279816; 286733556; 562035827; 103143371; 667929650; 751201928; 361735350; 957463273; 817068506; 51982291; 119634864; 901441618; 787158917; 775230027; 610889764; 853495648; 937604085; 751347158; 673436953; 971659593; 728814419; 801907419; 68859929; 988639657; 1041047861; 407570120; 699015343; 389538920; 203921906; 581836249; 891881956; 416073690; 475148315; 847419466; 1028687179; 968347229; 702017315; 182057491; 657833368; 975048273; 480122380; 918740634; 793052385; 197161645; 978839443; 943302961; 100586731; 569029776; 282532473; 231147865; 324369178; 598362873; 1040102255; 691617844; 246569451; 784874738; 813504799; 425095482; 714656284; 618577600; 774264725; 275580220; 450158094; 706379937; 438118896; 502535084; 3224904; 1070494218; 199583373; 453936150; 173219666; 620417594; 120963481; 958255496; 767910176; 642208712; 12076479; 60480681; 407540675; 184430818; 404276981; 1021408402; 204949336; 5319744; 563996698; 797971872; 360265344; 948176985; 362032777; 1056377039; 1043584442; 118490624; 662690575; 1038991722; 502366185; 896726421; 1032303151; 94246092; 119718371; 14750140; 884207003; 956878826; 1029984034; 1057175410; 739133722; 685249422; 242322863; 740045266; 1000759591; 810558218; 606740697; 652772721; 833897892; 451792181; 701945797; 863694150; 896546207; 357470596; 428531138; 205514843; 550974446; 223805075; 55436863; 977581413; 920143902; 250518884; 783126087; 625047482; 151953146; 356989029; 550105126; 761217827; 514846403; 708253386; 364958449; 665281764; 105836205; 828649685; 102411361; 581248997; 135818875; 164230892; 960559259; 74501972; 670241638; 667132954; 983684163; 624789289; 523626163; 808064983; 29177328; 1848976; 37003714; 9607090; 65918036; 320999015; 454333362; 796972468; 781991237; 878384900; 487350730; 497785622; 1055216327; 913166547; 164360665; 513270191; 786385539; 981897206; 810133825; 713658718; 543624938; 447202568; 441841074; 655496153; 669377394; 306527300; 808883051; 368529801; 566339455; 742508676; 743788005; 679108638; 58325163; 886067958; 108302225; 275873050; 154348446; 408110528; 785836697; 138745034; 780149414; 724278888; 330236575; 389465426; 491774405; 394590036; 162275036; 586842811; 984914605; 288261640; 819523491; 975916053; 558524752; 1008670049; 901687414; 37054330; 915240849; 499905618; 435089435; 610904740; 258020816; 620223372; 473678487; 902082142; 461075067; 732058595; 647686672; 739873388; 1072011386; 585562216; 391544429; 3355297; 412625544; 495523680; 888945180; 610103288; 884738446; 872972670; 687449263; 248313233; 17412949; 29328515; 160261248; 118569747; 964735286; 1033057041; 1007809697; 753658374; 1043973078; 44871436; 523803653; 107795139; 540853697; 362346019; 1028118855; 513153351; 43591695; 949409017; 201937976; 1006851247; 422910329; 869854784; 448248958; 584075891; 343573262; 687372769; 514966164; 1044094024; 168044571; 774258334; 582668002; 57766474; 550125348; 967974364; 1000693798; 971047447; 688342996; 291072213; 162664671; 624700082; 36794177; 142359913; 125586819; 612520718; 48458415; 329373081; 557125988; 1040568497; 135069220; 341927713; 935719069; 789540488; 30398231; 481803848; 901129721; 338182042; 651198893; 270329526; 904727347; 136625160; 1027032972; 33690965; 858662722; 244699823; 593265581; 489412997; 644726204; 1006684219; 363554121; 81145298; 840112735; 609611846; 102230846; 411488866; 1012171154; 1027367906; 803054323; 642995525; 955563893; 1014573163; 1013477260; 1001318698; 360259413; 375787863; 60467559; 841076460; 190197778; 196211522; 520162633; 539001561; 788657304; 850247708; 401244208; 915216155; 607941363; 535070353; 78334559; 531947919; 1057090014; 823450237; 347148821; 226186491; 1049926454; 143894767; 1055345756; 226433969; 921091614; 678478887; 929604265; 374863927; 381377847; 240576500; 506742868; 810304346; 203847288; 897463709; 579768717; 409855550; 362009338; 767663985; 902482988; 551881612; 562170562; 271366032; 963204741; 404679192; 218233493; 46486192; 582932072; 702846436; 105037200; 776838000; 723621880; 240780075; 230702949; 474439684; 690100651; 1003747971; 665272780; 668405168; 511657280; 450190578; 849270838; 457568923; 882177612; 754834470; 226830998; 901786784; 451557849; 201587668; 461726722; 73354975; 650954865; 84564520; 475838787; 314939667; 414115206; 4510271; 954640214; 466746986; 902038054; 872281470; 586296925; 37632960; 363672038; 1051935749; 110960937; 292719081; 668990539; 791233670; 821612154; 885640703; 23057005; 661223048; 487371235; 738260136; 589744051; 639125581; 564627470; 146233452; 832171689; 1017951213; 1027367476; 1001726393; 637428986; 428446266; 888358914; 413594387; 37489729; 545470624; 1032246840; 956558678; 196313325; 873765454; 103761552; 701188831; 377559044; 893497034; 869572398; 437559872; 66789598; 830317477; 700282614; 971894930; 827913420; 558310455; 726649784; 328467555; 755421360; 624465727; 71518436; 870941996; 787866036; 198144755; 615989681; 817944204; 628646670; 756060000; 45082937; 524215496; 392367960; 97274386; 454265338; 617116918; 145056763; 533371763; 544626070; 1049738718; 351621145; 605136329; 338573584; 954854947; 618115460; 415639508; 319752629; 570691548; 886947031; 236449289; 719331429; 757477813; 567058522; 311880619; 118764392; 812667108; 486221831; 253278242; 308507301; 951898801; 483706745; 383900831; 146864185; 748278321; 187059392; 105401970; 637472153; 789584968; 126329027; 132732978; 479419847; 931941533; 569535825; 1012363625; 129510253; 461368638; 1023536308; 754889360; 559626203; 158853793; 354386388; 907685267; 274593104; 418958720; 975856453; 968580847; 1051302568; 903277371; 27542894; 980516894; 62415501; 368763513; 256753901; 1040554673; 480325167; 597013118; 143602655; 366216787; 1020617428; 554624622; 293129785; 957337869; 340652155; 836436768; 733021448; 278384278; 43250090; 1053748531; 533191285; 814835563; 851323390; 818654172; 994165428; 628680373; 1029474685; 385127615; 511162098; 450101662; 395379548; 973916362; 707448525; 586549534; 361512653; 371529215; 363657675; 363689899; 627754394; 976032871; 266368591; 305816941; 422649251; 337612999; 1070936720; 155011406; 957424579; 857178513; 60408046; 575817129; 749234437; 174584896; 152834517; 449941645; 84073511; 856252315; 551329185; 299343191; 1052123270; 623825988; 717238258; 950061342; 303279845; 1005493449; 63240080; 701227613; 880114406; 848411415; 272813836; 421118031; 769205816; 270052044; 477852025; 118329170; 788359213; 451460415; 142019865; 969818135; 503304141; 772111502; 511533348; 281399186; 129376959; 22853717; 170483311; 94463280; 21936612; 1053847178; 1021738021; 600124945; 1042260680; 675493702; 545271971; 191160854; 462211969; 211352946; 29660671; 161637565; 326699531; 1005829092; 1061886891; 76891912; 913190341; 845776511; 999439256; 815778687; 729459955; 335788765; 550272016; 175139924; 163662741; 1460708; 552546746; 340929061; 163066435; 129936645; 884079577; 1000280423; 432073763; 665733238; 524354394; 614393152; 829515356; 320525929; 230777562; 438207167; 578997835; 351055315; 714758779; 1066653311; 1008139755; 66642511; 462802678; 910943963; 953255796; 73402054; 528249409; 409528548; 609006603; 874903933; 615156716; 336619401; 584520978; 632745783; 115972972; 648487385; 631546313; 1036074136; 886333700; 809398276; 971792281; 1059306855; 976223341; 307344168; 321947140; 627778250; 169476383; 216540189; 193172563; 240545742; 343719431; 822718766; 681682175; 12780651; 660559199; 7314482; 41941235; 666268295; 241041669; 746741303; 78518487; 376840071; 460932298; 829930111; 758185486; 1063077103; 605343935; 1047336174; 65920060; 234910835; 24908807; 996786248; 724028660; 681730437; 730325259; 25169318; 739403911; 506246670; 431210450; 170895987; 305599667; 401111534; 536282700; 718186061; 297734945; 120291125; 1023277486; 585134699; 864818138; 489731005; 931354131; 889735755; 323128781; 798413675; 62338515; 201810518; 108027327; 533499784; 722588017; 559333224; 277737833; 681056867; 12586097; 185499048; 248463956; 526539328; 418506749; 107649480; 465185506; 1055915590; 712009987; 1003757; 389125092; 777123019; 17291304; 59312678; 311054544; 1022379514; 851216733; 758048823; 388467194; 94403786; 1056533981; 384009479; 455113503; 837506855; 779381266; 288333577; 120385953; 456770634; 760679755; 858528345; 719932788; 161849860; 510050749; 481406185; 603907836; 700928192; 300742976; 484870374; 617879533; 890107348; 822794672; 176271985; 322498950; 957450428; 604975880; 304110688; 934259081; 823105362; 894650271; 982050152; 452632689; 197874147; 429185985; 878385177; 296217832; 349949919; 111020765; 640286282; 474343609; 105609165; 664184351; 805419923; 751340394; 62069747; 758286542; 730246872; 906203516; 508164479; 765870145; 70502781; 274827771; 363567606; 70215510; 618167576; 425538454; 59583679; 1066009002; 429643441; 570414362; 764914828; 516338379; 745183209; 949201220; 36131314; 187156442; 1019245375; 679515221; 993222991; 335456565; 291246350; 158979156; 338905592; 506890631; 558596455; 284466758; 110045091; 304250021; 665332095; 222870801; 770809879; 456919326; 1025457126; 122161956; 245222593; 349301746; 84612993; 811139032; 1020834630; 384238037; 266712100; 48659193; 425386432; 474725636; 137871163; 402075921; 18129263; 3318543; 1017584238; 908285660; 614868097; 483916165; 479782221; 98035505; 291059140; 221500927; 548044003; 400821235; 195151032; 785333249; 937365789; 537758616; 630484815; 191071228; 85768425; 936438883; 47698496; 1031033632; 875835930; 388707790; 666533082; 338113183; 216896058; 418891039; 246487847; 158282859; 615581335; 571686399; 549962455; 481695098; 812409782; 851152909; 236443436; 418166683; 694428189; 504004399; 796209017; 152106460; 420260056; 788596065; 135972825; 1002302811; 686760077; 907166519; 906720797; 1050332364; 964754457; 342333864; 411735095; 644814708; 945494068; 1034651214; 272188365; 800522606; 1040310559; 867544289; 230516226; 801604076; 899034576; 479799461; 629179396; 184570529; 1022152232; 330049943; 982512610; 849724585; 965968451; 743591515; 916177829; 1033935150; 632885733; 166319924; 989745032; 359798127; 831541181; 871983730; 202100674; 953448303; 667076303; 909576761; 532785099; 682736728; 636124049; 933056562; 366102947; 519638196; 461079527; 512470350; 1054293849; 556172744; 394642593; 1062922435; 113960909; 21343680; 1041541655; 122188340; 357060018; 748322372; 844864076; 215941033; 351005414; 858081217; 403907521; 597629066; 605936392; 75260465; 835224324; 411344959; 929541025; 835667244; 977898611; 503224088; 89483882; 741064945; 55612765; 165033958; 878851305; 102602176; 811755330; 949883304; 913532187; 694125705; 583464955; 898690373; 1036164778; 1020211273; 314132641; 708336404; 236967345; 130844120; 255390582; 490373964; 702710621; 342364256; 478020613; 593099612; 514857956; 48688159; 865023931; 270549975; 792285529; 27708792; 754424217; 17271314; 753273559; 1018691204; 61537406; 951823678; 717902538; 373810132; 471575213; 137286313; 407100445; 118036842; 943397917; 541987657; 344577764; 224347146; 701090549; 195448326; 1029505248; 24953307; 188716394; 575595696; 776003995; 787387246; 399207012; 124637361; 116906166; 142780584; 465828435; 709385297; 287617627; 269920079; 862791153; 412100056; 215670521; 860663360; 520365655; 181425923; 746259458; 910363543; 213068242; 812056846; 405459479; 629925535; 275091707; 42991553; 922109325; 476620556; 279824101; 1035178262; 62385468; 313717098; 1042125831; 443545086; 245222445; 262300963; 982536958; 337862829; 496925561; 889859022; 176608305; 979647889; 369481904; 95258423; 127867808; 205220699; 1069185020; 314755967; 764988432; 53373366; 1071405657; 737875692; 801163496; 93259227; 488831059; 1053992216; 940842931; 729641625; 697574713; 527647852; 372615220; 969298140; 228221222; 275598476; 930753139; 951383172; 44455222; 510106814; 979454505; 494223576; 775047649; 743730959; 191685602; 212614795; 147480161; 525384507; 225530933; 651877378; 460647111; 823492620; 369685301; 940951887; 412385337; 652111054; 1009813605; 99945785; 749911237; 99283869; 744098639; 1070939998; 48749271; 630205457; 545193651; 973741694; 275510230; 55126041; 398864861; 648033539; 954132500; 548793269; 420867952; 457431946; 503209471; 709081573; 111744938; 918636028; 1054397689; 888741624; 729391615; 613628976; 624878651; 875749051; 222972789; 996711690; 93628560; 88458582; 335842142; 787592516; 784889066; 292932742; 261927785; 186243216; 534724305; 512334267; 562858340; 946301526; 940846703; 241103891; 650518312; 877961135; 224625219; 612875448; 174125413; 526362888; 697727657; 55643541; 844489642; 721899724; 609523888; 839770505; 791215540; 896840614; 362773923; 538778989; 769422496; 895789700; 398949249; 555091305; 90521730; 915940879; 1011547858; 524655009; 685282192; 937398782; 258432180; 334017669; 746390830; 90243940; 124831425; 1050252999; 379132453; 335862110; 435337167; 778466534; 252663207; 666471464; 152523638; 6670242; 425652688; 570262433; 8146781; 619326965; 140152460; 754430157; 86976110; 508030379; 844057200; 251698114; 1009061806; 21613647; 318683701; 288054336; 326710324; 845306869; 54178989; 529787416; 69824236; 54006892; 835794365; 401949503; 448382308; 243736724; 180458829; 931814272; 200316922; 418663891; 4921559; 459983124; 316842120; 830081666; 2809082; 560408336; 89950160; 402852114; 969260030; 472804798; 45662505; 820035937; 1071260070; 947202150; 601064457; 42058721; 80803528; 77234894; 794953445; 611380329; 779797278; 775262354; 889084964; 1031566670; 221301994; 541111224; 29623988; 931839719; 764793215; 97577868; 64403584; 806655111; 425965932; 217386256; 773869192; 926274297; 298765359; 393204202; 351493125; 590435004; 185415734; 367876180; 717429818; 147185038; 412579956; 529425284; 334079431; 752622643; 961644366; 715220556; 205890607; 24217156; 301222625; 173692770; 928647492; 206885801; 994239782; 941674688; 884764419; 1050544033; 203880859; 601690474; 749726346; 723691262; 91147467; 298584217; 310745858; 604121773; 816882638; 335616336; 960349662; 1029856493; 7149553; 355312369; 668912799; 765494790; 367083749; 721468466; 838283450; 921631861; 930556475; 611943158; 162611763; 232595226; 630161585; 225918632; 848754936; 895658072; 662022992; 598209747; 580073670; 49832937; 846564752; 1031681233; 617585973; 712548091; 603209236; 382350990; 593291965; 722590384; 403384666; 217687753; 346733375; 732635850; 894501834; 1060333193; 788871496; 920762999; 287119355; 403073131; 637311592; 237493146; 251999378; 542277195; 154603060; 376488791; 631717352; 971136309; 1046854821; 508994565; 866293414; 677256523; 673822438; 118746288; 168825536; 519346924; 22139147; 985039791; 689657964; 500544; 563125581; 444022501; 370277241; 700268591; 227871852; 444276513; 65078336; 552715939; 463724433; 19158046; 910679555; 896897695; 709523947; 681327921; 340092272; 600925512; 799725288; 183871220; 1024134760; 502384905; 782343591; 121640838; 860018778; 629878042; 165055622; 715542602; 268326140; 547189225; 663326476; 208414531; 145744911; 459005442; 384467299; 45216927; 753149539; 815987334; 815599833; 417994243; 1059989008; 795509722; 961149961; 702700843; 409075219; 325128205; 667105875; 791238668; 743392754; 887585196; 1066860110; 134036021; 104730747; 618867300; 112967331; 924016452; 496765691; 618926027; 376869416; 427802081; 552209866; 872457311; 351513173; 229437384; 352869070; 540525555; 676551301; 898444059; 392413327; 1039049944; 73240456; 80275808; 698203171; 440380873; 867708542; 708358969; 291402221; 818940657; 866513897; 36054895; 448792739; 99898521; 728230332; 406028092; 715127315; 154409013; 568354419; 105492068; 315101593; 48618893; 66660174; 109814873; 120632449; 483064074; 72418892; 752318051; 1044290299; 233621069; 716358084; 664073408; 894395865; 877038964; 49401484; 747611122; 71794762; 631875037; 679296157; 794157763; 701424995; 531898568; 25724011; 516485940; 997823569; 731059419; 93298065; 1044009855; 702242726; 654883923; 40592560; 361625316; 22149019; 552159230; 984085801; 737544573; 815755115; 409676437; 1041531879; 729602840; 379366346; 637048492; 683524103; 212783525; 719805111; 987524633; 191304515; 1012214211; 454654583; 23984277; 310444447; 550340364; 223390665; 831245485; 671324887; 629755633; 1008259796; 392883545; 706076994; 59790764; 638779010; 294544208; 207551520; 413644743; 256890885; 158079106; 944431651; 209234033; 912957118; 1054436722; 20307437; 624203831; 682253767; 401751784; 276652474; 414153708; 944039493; 791893889; 180364104; 1006984878; 587674067; 45093843; 685165983; 758458652; 845751721; 637595923; 674142712; 416555883; 540294271; 398654044; 726606929; 884013143; 771547257; 15325466; 1060405174; 240779198; 211862423; 58624953; 705725631; 418770027; 197090724; 831417721; 812864067; 666190101; 175789770; 685227348; 675026234; 498199979; 283924900; 335947261; 210815888; 261705302; 399372851; 363891081; 774714256; 360957661; 1003498284; 758721696; 296912902; 33005779; 422297634; 676016553; 1046019312; 1053145868; 410276058; 71366403; 277322136; 939406258; 459382608; 434606417; 678888295; 732917600; 915876733; 837258080; 789188790; 501768145; 537024873; 51599402; 216570100; 1051405853; 442426254; 533279151; 803865002; 850722658; 914705838; 447447853; 898876582; 98631126; 524704749; 431530545; 114089552; 88500144; 74149340; 65493104; 1002939049; 884215403; 406852524; 617578454; 704911730; 136326171; 687990064; 1030362506; 866206453; 795828021; 831974954; 841498214; 514987782; 582854643; 86951144; 322591775; 799444618; 492270363; 775876037; 841471917; 201569929; 154058421; 102465832; 999937556; 450994075; 162602724; 277504083; 344886114; 1018071297; 343384624; 809806949; 979251748; 153605766; 969291694; 823272957; 857731295; 276408591; 774211964; 338824135; 1058076858; 85095244; 812012595; 981478076; 589710297; 287681653; 267939488; 897406402; 352789879; 947270980; 1007244786; 29319314; 729986734; 305623852; 250587759; 858046296; 526483967; 607647989; 344214925; 56153353; 70529664; 832008928; 852228564; 734522036; 970841587; 277762399; 983306966; 948142183; 966814028; 60735475; 815698558; 891976378; 869327859; 406487554; 1046946071; 599834421; 649951947; 201188987; 529823290; 392246979; 763530202; 142283470; 27271990; 980053056; 906253289; 361084084; 696618997; 844616350; 981530919; 853888320; 340802848; 102722589; 1044496580; 11221602; 1031476536; 1001098400; 331877084; 88467500; 343417356; 188339633; 586719864; 476017212; 1029150820; 852653723; 387316994; 875000938; 962785529; 425979798; 2432503; 403200301; 1013658934; 573016435; 428113378; 87135129; 410460169; 64443257; 756122805; 558133836; 1048036375; 513966722; 716658126; 154213984; 866445617; 881896359; 601484225; 220870346; 190211357; 85606016; 589346148; 313889251; 4517309; 700486862; 592535170; 698994131; 705610325; 477215418; 331470243; 602214721; 428137080; 543398410; 130539706; 227995824; 1024654476; 958370547; 730657236; 291606870; 226574697; 961616902; 277251909; 1013474306; 528906945; 490091916; 925591502; 677061246; 26909074; 833356138; 665588231; 513578613; 1046046366; 214231815; 600477322; 898646113; 1000807300; 935911396; 3812673; 448103375; 979146195; 705109269; 712313903; 513710183; 445622819; 519139772; 816314717; 35644086; 1070729990; 431607522; 496067702; 532390701; 212145; 837763672; 761738951; 595885961; 928193036; 582114502; 116877094; 663434492; 816552690; 926402435; 180341867; 846169414; 84527519; 217831775; 668440768; 67618476; 410550481; 601701797; 935558474; 779699829; 136611165; 980965182; 1063067207; 1058074079; 508343536; 933831326; 287927264; 74567400; 627768628; 1009323388; 468200967; 1071467542; 651055464; 624338261; 40981907; 695966729; 392197815; 136013503; 304892705; 902931477; 164216794; 633770572; 658676016; 269730486; 89885513; 932835318; 665842172; 424195511; 605001211; 141253816; 594194117; 742454606; 994983918; 96492790; 1008041060; 934260643; 372260076; 930401962; 754108151; 279602511; 347991357; 406706208; 281023407; 741869045; 42976285; 905860295; 605185838; 633833662; 184599155; 494378478; 582432928; 414036465; 705708095; 656810734; 56032623; 664222805; 697613316; 720197598; 700006419; 10603681; 918224984; 585190283; 355777622; 602265865; 778765133; 883496518; 31765825; 45893710; 757659684; 201208817; 110435222; 196984312; 869849218; 63740248; 103395795; 1024257815; 832376564; 6171872; 352423675; 741842557; 414912266; 802695551; 101248173; 552737380; 702644746; 737549395; 705925172; 45814293; 974938629; 609944037; 251455384; 61031496; 590266579; 784802966; 594700565; 1007751943; 75968944; 894417722; 130798746; 526816803; 975388998; 1040161499; 362372030; 539122111; 893891414; 680094247; 739145815; 238045222; 1050433649; 852189543; 603337503; 514236679; 541870947; 143009783; 651264359; 827171020; 329469211; 583954316; 6443274; 127413327; 557676956; 897781261; 548856478; 1007239950; 796559852; 1051578359; 425071214; 285693701; 899382975; 661098178; 896686603; 627656388; 484588631; 848918451; 116193943; 129416903; 132187477; 690274988; 821965099; 618726026; 115956795; 498060889; 928750083; 727279876; 559425749; 721201525; 381917562; 853475740; 992906917; 1029388609; 339619838; 95453587; 614634017; 76960811; 675387102; 58143550; 71693325; 347985634; 220967185; 45827549; 128274753; 901888279; 206105106; 511004555; 64231897; 659762658; 391878186; 698374236; 934389505; 781000219; 753329015; 49896402; 739273817; 179942412; 38148056; 431788440; 135408503; 1065899473; 457260359; 313473990; 114386692; 758427972; 70747666; 1006887264; 235421731; 304679786; 425196758; 208092196; 255123392; 704689461; 1015384951; 1000857669; 668754819; 255687254; 414236372; 713989588; 218563137; 702991045; 88035428; 684637799; 320838325; 197071561; 618530955; 661259711; 440607501; 565712084; 729003692; 1003525404; 867637072; 587175731; 387662831; 952382745; 414749533; 255454119; 650679095; 937575382; 641866288; 133485736; 1034440954; 781883453; 230952643; 5479886; 249737775; 652479515; 597481071; 1047161723; 979325423; 591136821; 500150908; 902988861; 620273830; 228606105; 31846645; 985394966; 44167577; 702336132; 977503498; 70434626; 178576804; 741303120; 143850574; 738047638; 985121560; 208968405; 711977915; 159412912; 831111503; 935491921; 861473346; 359563084; 651200745; 975930169; 801599807; 409658083; 411183816; 767546764; 995537339; 268347321; 474114998; 369198725; 395688142; 307611373; 535821821; 919857642; 690549974; 269885682; 786913971; 63986993; 472698466; 1016484122; 213901415; 660050457; 310203384; 797819680; 912527707; 495395545; 554254867; 538344460; 276776890; 423144781; 1070403688; 871340786; 348048336; 543872452; 858577211; 33465596; 837396032; 465479345; 778683581; 365847889; 802800896; 726234185; 838234696; 255152193; 595328148; 406103663; 894561042; 367544944; 469731455; 51077998; 425131634; 389019416; 880003619; 520812617; 455492360; 96411772; 556829726; 858063157; 165902401; 305635404; 435380417; 234013697; 524714784; 263953417; 781584854; 1022419240; 635055573; 956720674; 600224599; 826437734; 254930709; 12131684; 77175900; 437423205; 256667866; 180667146; 407557561; 465530517; 122940274; 449415571; 180602299; 588220274; 600029890; 720083291; 203805124; 524285262; 874024586; 1065702537; 30328823; 487889861; 631480023; 79248758; 617669004; 568891242; 378732519; 109666831; 156979551; 350876094; 495106478; 176027752; 1012431778; 76412698; 273250755; 267447488; 644072919; 799736090; 171636410; 828835668; 671789913; 843667935; 486013397; 704144486; 186322309; 334318911; 897154138; 598542915; 862493748; 2479234; 113728784; 586111077; 332845127; 1054606830; 167033999; 307196469; 179288960; 834400113; 416487336; 347645886; 324920791; 451625894; 871836623; 589178065; 407479874; 927995563; 124581568; 193942171; 875770666; 907994339; 865078107; 737917824; 483552550; 557350401; 45693766; 297038774; 241049331; 774075998; 700216499; 705519484; 830521492; 91719189; 421611821; 347235167; 466103288; 63015918; 732366427; 21510606; 529777840; 321926836; 902075467; 931842355; 319814417; 509250566; 219733174; 407548055; 533147374; 397201022; 525356692; 928777618; 239424069; 161569938; 149152692; 778711138; 28347321; 822746323; 107830327; 806644727; 188765454; 987324808; 782844394; 395260195; 822699623; 15068945; 180423953; 881348132; 593092179; 1029403237; 919331559; 840435622; 645785149; 62133028; 307515389; 736581364; 672580027; 54698675; 427073840; 411777345; 104413266; 734798926; 1019896080; 20285001; 737403545; 818137099; 1010123961; 558509771; 232192155; 313337823; 349125961; 928960907; 247778855; 922473882; 423981449; 119394121; 916915739; 531796844; 56613645; 311227717; 568715344; 344729748; 580931240; 1000473795; 458493598; 402150423; 55374517; 422575934; 6414569; 294397228; 772430388; 514117141; 901261743; 306532554; 206325384; 484037178; 524163047; 562451457; 348225; 601156908; 445117768; 907908875; 761207786; 116879779; 182712289; 31256829; 845168598; 746477786; 404973582; 132935778; 300772673; 793413694; 876954387; 12261933; 463141103; 980398391; 172716754; 330369599; 727255319; 1065644669; 215537415; 355597757; 807893469; 457549953; 763232578; 940127022; 1010671563; 967520142; 19246831; 366853858; 587821680; 358908516; 157559280; 483320798; 209947659; 573532937; 281804757; 670868859; 215937468; 946684340; 402721077; 683076474; 770625598; 653812680; 246818810; 444098770; 483004234; 579113821; 939445482; 921974394; 423523570; 978212942; 95406151; 405809052; 717723156; 1063871832; 635439157; 909651419; 963252383; 840179353; 144959420; 253986246; 203771755; 140799798; 295605375; 961593920; 1023097744; 441002886; 726471905; 897208529; 1017739067; 1065165617; 96094112; 947697507; 276690172; 231252802; 677875633; 990937299; 1016438535; 499836814; 435160748; 384113375; 801307011; 188152045; 936740739; 279171918; 315465530; 627550572; 202730550; 528979943; 655350012; 288290375; 790768482; 605757020; 444500066; 510007782; 212613694; 619683985; 526723731; 395529332; 500837683; 278584114; 1025224109; 764113590; 833776109; 1021368624; 497022133; 652045249; 1048900741; 672401554; 395911954; 82429375; 339638251; 727891261; 843759913; 1051975566; 413225298; 327316372; 528572894; 308968924; 108488460; 388421835; 690896548; 51187174; 157584079; 84079747; 878360388; 275437687; 19102489; 777458521; 145914112; 176995828; 481457045; 368804851; 36561691; 431349430; 437319409; 513104148; 1050226303; 913961831; 958123464; 392213347; 995517403; 729795526; 479788431; 682486631; 467275113; 285643336; 454105056; 899801322; 709502461; 928436988; 646400425; 739765204; 514803580; 339607567; 640565392; 1045913036; 86671244; 146613; 841164674; 902764851; 10617451; 889192415; 433958913; 463166939; 1068124864; 68364409; 217242558; 647052447; 122058010; 467182792; 978058104; 700730706; 363690995; 858978388; 237081225; 75437552; 354296833; 973432951; 2689460; 868239293; 775627066; 312123598; 695659254; 519336518; 118513920; 812903817; 452835558; 486435113; 55748256; 855133708; 481066729; 1037370426; 76793672; 37077828; 467461294; 286625659; 366403479; 141428925; 670270027; 421929190; 659100187; 661293134; 532380661; 767359074; 1049080362; 307603415; 409315646; 824159571; 94246197; 189089175; 888425546; 573197981; 873916745; 518073529; 660410697; 10231816; 748507195; 644320781; 1070049598; 381778861; 283472941; 25397206; 420345078; 939200162; 106780877; 378508600; 129166187; 382612500; 166283914; 443006000; 488597451; 393203634; 846217896; 1038838833; 605016003; 50846089; 34232891; 722238755; 193319547; 396812321; 520063140; 410629888; 948980500; 108789802; 484182189; 684971622; 366000154; 256082153; 80997071; 401123233; 678060782; 772708521; 89762795; 306862072; 19789155; 980103129; 36964442; 585385816; 14001322; 1020147436; 465262949; 955416508; 686158951; 442140757; 322729400; 370099314; 231128526; 721797104; 573845660; 796983518; 149703477; 821767811; 269253704; 938277859; 399121574; 691397861; 219232927; 926106466; 331677757; 122799832; 673606022; 932334758; 1055603369; 879979226; 100762895; 828680370; 838391273; 63539447; 132909704; 964710370; 778528801; 449541788; 890277556; 887701057; 528410291; 402094272; 465213254; 314770419; 136735409; 807483969; 713250098; 337577725; 209781617; 237264341; 973831504; 773386875; 436526634; 20191233; 916963967; 381769631; 206154711; 152329057; 262988688; 428808415; 188965214; 360688827; 543078275; 938394642; 545568246; 794282419; 731240263; 175740917; 101229704; 332239453; 455260109; 773310433; 614694098; 770201326; 618184994; 1065888329; 1042436088; 559791928; 48738818; 58843517; 466353866; 159306437; 292050288; 646866833; 755254529; 920212929; 328615423; 664477313; 974516651; 26355854; 134040324; 517664017; 75141715; 607333011; 620948600; 856854843; 931322490; 359625895; 170296895; 119595055; 331706481; 532916780; 773141069; 662113398; 785647235; 14470218; 762112416; 876174752; 631696960; 546502179; 140967993; 32280543; 521264668; 908822017; 982771504; 820834312; 1064871402; 661504824; 706683835; 55198765; 986598356; 345189855; 405339327; 416844859; 470453195; 652346500; 428386838; 547048539; 561797188; 286784585; 355830499; 441687434; 424085038; 448286387; 562987857; 569616342; 930436133; 170157402; 643295277; 582793868; 766657182; 585498663; 442638384; 131115549; 840916175; 615989758; 740911525; 966955034; 281018378; 917732238; 541306256; 568901418; 569459554; 795217761; 1013241005; 1002381078; 639912900; 704973888; 597217928; 312245855; 642718095; 240723446; 819094912; 400280275; 356193699; 1003322223; 275694512; 868361775; 273273464; 684097389; 209600591; 799972573; 1044645611; 1069337936; 12489498; 225987705; 833935678; 268235595; 1024454411; 522295488; 679045952; 666088921; 505165963; 734264797; 512134326; 442092234; 65763600; 631877235; 551827501; 421277539; 342490977; 757705868; 250888115; 843419911; 717058848; 564666190; 200617569; 383539250; 503509972; 975570209; 56299855; 532010579; 402054647; 482652068; 634549452; 823238214; 869593888; 716824800; 471988156; 740917854; 114869999; 366233864; 611627319; 574884355; 629438796; 218759634; 254765965; 558454736; 577798008; 650746392; 154933299; 1045196796; 567520564; 117438724; 1130319; 533771546; 681664584; 489777875; 153707426; 320226157; 253305460; 94280867; 351039143; 789019752; 80994147; 251550047; 352242473; 668272328; 334963886; 951731889; 376616733; 450184717; 899215158; 296688591; 902515648; 288818531; 418749530; 806095775; 892058236; 827661826; 506570385; 527062866; 109090930; 884287032; 481841499; 209926663; 813920302; 76310481; 762156465; 883990692; 1013732176; 894238140; 717815891; 412097465; 720599316; 227793165; 841623821; 661869043; 126805537; 859772411; 709684224; 413082222; 679587846; 419821446; 307221392; 862841931; 208439335; 859952081; 142230728; 902109586; 1029835849; 480636680; 993020687; 27260110; 1050494122; 401046025; 489833107; 756617954; 276191; 121194391; 919770578; 209325169; 604238578; 616678373; 441765575; 36451075; 842597508; 703972139; 495174459; 981735127; 1035542684; 784432412; 598605810; 230584301; 659607757; 678386812; 959465399; 803726875; 211306144; 202577965; 679691424; 507019665; 347967657; 445607431; 450825790; 887151667; 727736032; 979085652; 451520552; 451288060; 993558555; 222242051; 539168553; 301016504; 3640187; 907372119; 752504541; 1026566763; 237641606; 749463550; 341920373; 219657879; 1065493502; 883147415; 426560032; 100249558; 311262351; 208466585; 942429890; 910417717; 38520008; 396247097; 380036772; 373743943; 897807300; 86308960; 915002031; 923513452; 749135908; 279617634; 253120698; 722389144; 1012380996; 333952377; 489335124; 1064821815; 68681436; 666438457; 503357436; 550803715; 167004026; 422240549; 681981021; 848393470; 637896167; 796620404; 151711375; 917133480; 912033456; 185791537; 324135509; 987168711; 863037991; 560003614; 1014821241; 196397711; 970170533; 397570257; 281241399; 1007373648; 948286454; 401890460; 105044071; 445653237; 904339952; 398108144; 267599965; 774679745; 181544546; 93989792; 833658858; 1035035860; 192209276; 344444200; 907257405; 438134515; 603477090; 377246284; 239340011; 317664609; 834857348; 503813974; 317550273; 809751696; 920293269; 38229401; 128796716; 534012098; 741487654; 981067539; 417586985; 853127885; 232415664; 76365218; 179792391; 547527041; 817942164; 424498959; 561045701; 777945559; 782346846; 305303416; 410350681; 295631857; 582682093; 717258723; 273726317; 747572210; 853481052; 563657217; 770233232; 500780386; 459708339; 333209030; 298806577; 535754009; 744752664; 1046624246; 421504558; 1033578710; 998484682; 926951986; 898776217; 953091176; 12098014; 952596319; 477460693; 1044286522; 699102998; 580655744; 696783151; 632543477; 821955046; 221968079; 321666112; 228922208; 881768065; 736453388; 643791048; 773078195; 905819669; 1045657955; 438770718; 581263846; 693794503; 175603335; 656000818; 383777462; 333923146; 730049674; 62235933; 970391886; 481725303; 292703091; 73425029; 94417272; 899531485; 871036416; 1055058656; 405966699; 500223764; 272433640; 501520066; 493175829; 123677659; 904364354; 133142159; 114144291; 314898851; 180357890; 969354948; 337867857; 831299979; 493664677; 558581189; 988365670; 1029186158; 943996906; 245417613; 873669975; 90830411; 828098061; 623960210; 799836039; 96219823; 730154719; 834343218; 570352164; 317394659; 129025631; 302031670; 834838141; 272479647; 278872844; 93540890; 237216213; 520010019; 24973430; 145383015; 801089756; 13468769; 914131663; 591305822; 405088407; 227454345; 487591632; 995613016; 709385391; 184056935; 478852332; 419295160; 184812187; 672348851; 814832015; 1037546105; 370500267; 544355398; 689614227; 804637483; 607940889; 481741515; 29652308; 1058683731; 982082764; 598039274; 802589045; 961220514; 409135661; 371712088; 147144203; 16976934; 409654289; 641259604; 808697184; 946467355; 393020757; 741019068; 1066592989; 1054439388; 750571523; 96343363; 892869287; 823644590; 143927236; 129930530; 892634553; 389986956; 784603370; 177273313; 394541036; 839844817; 486597564; 792110379; 256649152; 442494836; 467081331; 784323838; 283919478; 203900712; 281795002; 65508837; 221472569; 937386920; 1019649812; 173923291; 538865714; 561473376; 852846557; 654007979; 333242296; 926630041; 726668606; 869333033; 66162954; 395386608; 267699435; 323049636; 606864564; 671998643; 716789137; 577078520; 870362514; 222862997; 427188594; 81898304; 792367022; 294317409; 973570721; 870221889; 143158923; 911223360; 187481765; 810106120; 1073165935; 192662364; 913570647; 305515375; 876056401; 808607901; 151832666; 293727201; 351995048; 1051066162; 116287827; 453856750; 684143511; 847027584; 882129285; 138420574; 204069727; 969173511; 120145256; 810558402; 222947825; 426246007; 775334134; 566519948; 727447743; 540984315; 17684744; 217452517; 214313836; 53748145; 889849226; 241803917; 332229743; 399646777; 128229619; 493059256; 1051508030; 81541257; 623302883; 778595220; 953424616; 427397140; 994901648; 596105867; 138991542; 364021731; 249944026; 284350541; 346467288; 56969992; 58431815; 1060562025; 1020730776; 878930430; 424876568; 119810993; 477362543; 979235726; 641965854; 790469693; 887519612; 585378387; 521131400; 243997969; 1062679460; 911030366; 1027105924; 249883229; 906576737; 735368124; 556035904; 75787624; 429528132; 638185304; 167004268; 447730624; 556366549; 476223499; 355300381; 837304764; 230140265; 552785706; 943586091; 562354147; 524204210; 367460762; 119023344; 595373782; 170688228; 988232074; 439375686; 1033132264; 874075820; 109926971; 228490311; 941285823; 852640087; 129752681; 233426653; 731255473; 102815855; 899389662; 1035457128; 370552302; 524496; 351377375; 161232263; 301639386; 646750309; 802894885; 4920147; 542446991; 633714961; 754398085; 467045340; 1051210270; 930424111; 287378576; 58167424; 1043546045; 216143801; 396153012; 1012395907; 863076680; 659179763; 155226490; 525323154; 1004029361; 617315639; 196935768; 877093619; 288844934; 455980455; 187361135; 824651473; 125732392; 295727321; 364276634; 273093859; 703094292; 151535138; 858047853; 851293284; 641038641; 688280392; 987504701; 963905821; 791102563; 147512746; 87549254; 701160399; 488356065; 458740419; 265829328; 371803853; 15373046; 953904727; 879004335; 812691340; 110297835; 369843295; 427958656; 705810944; 70904711; 930113556; 70824976; 1009774365; 633157045; 107693576; 613557741; 535674465; 170396249; 594527240; 722269916; 251868692; 573460161; 490640644; 348102536; 773629196; 485048281; 840619047; 996266278; 202231778; 1013215004; 791117779; 909181031; 103660911; 257564271; 937036260; 684394771; 798212030; 523028612; 753324913; 958550791; 39104974; 753377093; 1016492944; 737056269; 852390270; 846606143; 823825665; 880844766; 13395160; 349459054; 507988121; 621488595; 313621574; 664842994; 751856904; 237270502; 308471800; 347975426; 538560096; 1060253284; 754660851; 972124514; 904446501; 304995955; 1053642766; 843924427; 711343525; 939787010; 562384675; 9756298; 534371170; 673962904; 174506596; 58231005; 418262518; 684717956; 805580109; 264648842; 60690041; 183655093; 463659112; 78654928; 74585670; 314087296; 58234715; 570021311; 549015199; 418994839; 197333887; 50588925; 602141127; 114610044; 689293827; 4922283; 898357355; 566480540; 850880458; 509737065; 689091210; 342378598; 1015580706; 463547284; 448394528; 802860937; 283774842; 828312131; 972969053; 741099940; 342113619; 254105510; 338970248; 426158542; 411031654; 650067574; 992484540; 423591128; 114398187; 1071776648; 466634217; 699849526; 534129459; 1049486511; 858733335; 369280838; 984917520; 774920735; 293658460; 863320303; 402092002; 309748179; 100333164; 182621386; 656901118; 914597079; 872438392; 742956417; 822943580; 582577069; 28477401; 570385249; 412400602; 525613072; 244513910; 313056188; 485713075; 138203275; 972962101; 862107382; 910444456; 451329544; 328733314; 743700915; 954548166; 448941305; 279432730; 1058367739; 165825236; 842689382; 86562736; 82691180; 784732112; 935981742; 881439792; 708930875; 820667326; 583368464; 22619525; 71359800; 744387235; 747899649; 73808111; 499248760; 580420814; 767610997; 799024315; 1004782449; 807386857; 341630025; 36834688; 610069769; 874595337; 757276464; 805673161; 464675870; 856653613; 830703858; 963602066; 479187586; 514999894; 227994104; 589083143; 774798985; 406100488; 602729344; 978595827; 822363654; 398000615; 757147668; 544143093; 38558958; 267016659; 132788982; 64692427; 190230724; 203838819; 348091447; 672142361; 808675583; 272854253; 386474875; 404796056; 677600276; 90849797; 354264557; 177697286; 879781504; 439193341; 120541781; 729353327; 907575205; 869630377; 747372457; 650220177; 841920143; 275704550; 322588262; 691215711; 232155361; 858469120; 636005495; 433869160; 860162040; 582961442; 607101066; 907312437; 1067429910; 581934936; 36290938; 1061190418; 957336439; 82004807; 857691966; 297553106; 290179984; 304702750; 616809721; 322049185; 19647077; 1067385000; 545683284; 534289705; 312155442; 741950730; 404028321; 51845762; 208736603; 870821147; 132509215; 635404059; 363290921; 87091696; 689938526; 872666535; 848597187; 857992493; 1007676527; 1065533558; 624256716; 666465929; 500966119; 986166248; 922515548; 516714487; 830939741; 279182407; 370087163; 329970014; 102819177; 293269075; 208632275; 885296681; 644517531; 293081472; 397773811; 723963261; 104689352; 359606692; 925890375; 359362788; 227855729; 209046378; 95954404; 289131749; 427286979; 518079468; 117504865; 675954771; 879442039; 179408990; 746216854; 203427291; 233440191; 895380408; 545791860; 100857184; 69902501; 375682482; 489981666; 419919164; 716327212; 292779600; 137126439; 344736805; 744569753; 651280264; 313654669; 247083124; 184334463; 6138021; 871822954; 731016055; 1060447069; 377153348; 1004782171; 174054974; 516528100; 476669835; 81111256; 779670703; 946891876; 508746707; 371158673; 1718222; 641780898; 1020357001; 288674282; 345719788; 311408655; 985009701; 711411942; 384158162; 176494513; 598982584; 491725058; 744684732; 497364527; 17426886; 207798989; 962209644; 972864837; 684651865; 835736411; 1043309889; 970534045; 370608672; 976892930; 445621832; 960254751; 146766402; 193432728; 776852029; 810421996; 795728142; 527235896; 767542733; 392258245; 5250458; 855973437; 964900414; 915822320; 90293794; 979712709; 380831218; 1034068834; 841867922; 212620362; 101325265; 549852524; 560166487; 1036946365; 42582778; 968047464; 696916111; 363584501; 746211869; 700683227; 126125286; 117541451; 603401716; 1072581668; 97373878; 459019436; 384191583; 629704795; 613676441; 209200174; 89309159; 965188034; 84020813; 142855032; 392045275; 154489440; 488088844; 978129695; 552801760; 753024392; 176885430; 817196450; 601287183; 59614364; 764474424; 626921706; 68924063; 446635937; 324103189; 416458169; 1070220655; 186618237; 768784323; 788856517; 33259413; 433327816; 464408798; 1012827857; 470613202; 1003437261; 597959281; 322924160; 144760430; 238923239; 254561245; 851237373; 99373375; 288918131; 163036285; 32990251; 452897664; 130661582; 45436475; 609078909; 1020525824; 328001614; 976626078; 188987473; 418555219; 735455733; 304843066; 38265399; 948111856; 917130890; 494813144; 307570372; 951882524; 602093179; 470001921; 1047761578; 366049856; 715615814; 833989242; 590161889; 538370546; 796509728; 131017099; 147451521; 666026001; 656668019; 594690466; 786604557; 699323630; 834360350; 533958546; 149559831; 755513849; 396643449; 577564975; 595206408; 635288569; 281106102; 922020058; 625316395; 832017340; 434355269; 655783008; 1025537272; 580992720; 1070057096; 447171912; 464752711; 110223593; 509368599; 172718171; 1040539938; 1005772342; 1065929253; 834321725; 174271788; 839634166; 79430233; 143287515; 642813882; 418529860; 346638163; 618334454; 310274932; 83246364; 56890526; 98859601; 927238954; 451133845; 139249949; 80777114; 305852555; 814682299; 463280323; 564855193; 973685490; 249616127; 910760645; 837202535; 722757670; 93614657; 648485207; 656508911; 11492231; 428468597; 918465112; 431168793; 526167225; 672756085; 104184218; 803632041; 870749322; 863099310; 1067978284; 797712549; 466368540; 743121678; 569731927; 834573660; 670313271; 221522297; 792641362; 190682213; 281187849; 132389495; 683896630; 139278618; 1000336976; 104363914; 370204379; 978282108; 647969029; 280816382; 482325440; 905082281; 19957176; 735451362; 404259107; 929680963; 487001215; 934084149; 386844997; 82309000; 784237366; 437230813; 807107609; 1062917232; 507945317; 460221307; 677958110; 346794776; 111202900; 965839176; 87492123; 609435035; 893792893; 471236930; 450851801; 940153004; 676113690; 688681684; 154926026; 236895106; 448127871; 60775513; 52174411; 307594679; 941689898; 325387488; 351870908; 583704820; 742775077; 241779852; 19810108; 1007399226; 176922930; 982524850; 618452181; 305684597; 875792686; 478485761; 185297618; 815911244; 541356331; 714626996; 254989836; 828886615; 552344667; 699751714; 56127591; 683828228; 1004296398; 647123022; 847163094; 744801772; 326696002; 92041641; 846284800; 163672659; 330907378; 457740204; 91646765; 682757280; 658992; 724785586; 321513053; 627738790; 763986036; 618783851; 919417042; 639352048; 879397868; 505028513; 441211246; 94890895; 1052752309; 57229147; 1050546957; 778127152; 324988296; 54750624; 355618266; 214810170; 713824143; 10506870; 274288896; 300764948; 361659033; 1050458466; 807780428; 849980242; 104628666; 521685643; 295240928; 294574639; 89861634; 193478491; 263295431; 1005012138; 644563316; 707507439; 392311013; 947590208; 362401814; 996986905; 122945446; 353274145; 1036606994; 971817718; 402545927; 219021117; 903782245; 191688745; 639894674; 420364922; 447880761; 37759250; 177176200; 892468345; 633261570; 550076376; 418954877; 785516561; 1053567121; 124817832; 1288418; 867488410; 823381951; 349392398; 813816239; 799080517; 252194311; 998651212; 897680494; 1035174751; 920639102; 161786940; 904511137; 53904623; 990196010; 297575852; 50513418; 281191643; 429671355; 102682862; 754963242; 669492640; 898621348; 318398455; 734152764; 226728881; 855093261; 857663862; 388725272; 379279589; 770560582; 911185261; 373263689; 184598290; 927120793; 467931623; 100394463; 426072179; 424227156; 597181284; 1014041820; 106751561; 974449831; 257116155; 7106087; 250617445; 1057456057; 790999352; 805877968; 429071995; 86416848; 157623975; 617656197; 774221603; 912722778; 664657626; 620592586; 443806211; 224056549; 457159367; 694014073; 743431721; 933266083; 829430735; 811815183; 496891123; 49199707; 493011508; 751354931; 380311091; 485884741; 972862572; 77848356; 1028649638; 529019251; 863230585; 590109645; 813986911; 686494719; 824257122; 1024894593; 862686984; 353065043; 849457017; 458408700; 69686827; 308324145; 313127890; 9930397; 231425564; 1960063; 344798660; 563311310; 266882664; 919988526; 120962377; 378945856; 893201274; 800407517; 563836058; 247079015; 629863341; 117580052; 1000074189; 763700237; 419584386; 26694557; 978204316; 1003347247; 71283989; 869156046; 14186746; 820849084; 595362492; 564039833; 600611373; 657112916; 276041056; 586247930; 73307126; 71171101; 962090505; 702254318; 868251934; 117702860; 65388313; 924998989; 382335116; 138249514; 111102579; 449189079; 512827832; 938414957; 866549647; 473394955; 674886585; 36382540; 798846326; 43459880; 115945223; 254316484; 389174414; 783517655; 260036255; 872855927; 170126479; 8076026; 267389578; 389203971; 886896362; 51389332; 49486766; 853998788; 904372388; 1206228; 697736236; 54834552; 265901268; 451147959; 934519669; 969314573; 918195167; 756338904; 468102263; 1002518382; 349073344; 168936909; 128095276; 210180540; 976996101; 478194587; 996147613; 902348886; 647193394; 478145214; 690506828; 441808768; 165856544; 335408421; 43778587; 636768895; 1004807116; 293483704; 405930844; 163542877; 706276030; 878562894; 701640570; 921065749; 747731838; 455993055; 785614117; 29086105; 717959690; 972033870; 323112373; 28782508; 280047155; 387831474; 826364279; 776430923; 160517093; 759788102; 648872331; 606664732; 1020802065; 639398911; 54217418; 377454513; 313400587; 1066987936; 641014523; 939728407; 155253043; 674506558; 126572065; 782661790; 909783127; 280910393; 7757099; 127009608; 752547562; 895234626; 203503971; 554270860; 512645317; 237529970; 836162486; 955986131; 768135460; 203277199; 42141873; 329045400; 599105924; 288942434; 398038303; 440708071; 886502787; 198097438; 567091451; 1006092029; 308711127; 397036955; 432542502; 905524768; 44588163; 871999490; 94778116; 863259205; 550382252; 59688615; 718532648; 311244983; 965539005; 190260246; 270211844; 806260736; 154055826; 145037932; 560970581; 725172207; 662720007; 532426099; 720063875; 785991608; 21716372; 697643940; 218171159; 1067115757; 624787324; 545626120; 356026580; 904102165; 65287122; 756575152; 43200750; 798135343; 504359015; 775923976; 23207002; 26246488; 466343116; 407387738; 322614051; 939094786; 477917000; 191751229; 1070829322; 412350806; 378708667; 519559167; 264820739; 574191917; 906837171; 1016639710; 764956549; 225510878; 104650697; 519824501; 920180282; 491625400; 380883367; 269748113; 873903414; 897614745; 356978179; 691332587; 553899779; 741102175; 87655246; 452101763; 10257021; 414271692; 957564884; 713054421; 402402271; 224250640; 658839955; 1033907762; 955731484; 110887456; 475356717; 601543767; 781914791; 893912271; 863890851; 714204730; 90713293; 891861474; 589364133; 390856858; 17899751; 133416430; 149538118; 650306571; 561355865; 590523723; 762663021; 115767585; 16766780; 400071755; 193047402; 784691024; 455902242; 1027691715; 65458077; 54093575; 71087768; 322294619; 63217119; 797554434; 563906751; 530238150; 863583901; 583499038; 435010934; 305702438; 561130311; 811078018; 2639673; 952376362; 929120234; 632226850; 21260440; 505505374; 914364774; 166242078; 74103921; 97197039; 205073704; 972033504; 944518270; 72924985; 379361445; 218893877; 1028411882; 949720736; 421783522; 445219247; 537593854; 651172356; 48706480; 635945222; 217688728; 365231008; 30918515; 161165560; 851479175; 446084002; 655955847; 374526879; 827271170; 59801094; 346355333; 148667829; 1005950620; 619401544; 748875010; 988775761; 699148373; 986122604; 76860287; 822655523; 291863282; 160336525; 796942986; 398632911; 53997840; 396488184; 581681382; 45968096; 264394585; 946187552; 1060024360; 1036218498; 554605770; 323149934; 841322374; 648132165; 460597967; 1061529181; 220131522; 801584728; 659191355; 214981167; 478170648; 588127296; 289116647; 1024092841; 844136544; 884525697; 380968863; 980166066; 159994227; 260589684; 803144311; 978719455; 916000845; 515757197; 5462447; 751137587; 353265068; 183014001; 382617419; 513810568; 900910226; 857641892; 56550591; 187068379; 202240351; 292851702; 115120852; 819403877; 52397294; 885109249; 881335958; 628842623; 385961776; 635041491; 695318083; 445955757; 759332509; 928729382; 1029527165; 555683971; 47154578; 343817607; 46668373; 758190815; 555576267; 1064014539; 324949887; 542574163; 331660037; 1072467585; 136554439; 634548420; 240092751; 782452868; 566222949; 599654637; 333374449; 502455795; 784955515; 596721184; 965381308; 621401133; 896622634; 195497953; 629055419; 840176004; 211745341; 637411182; 288260171; 183487564; 248677241; 336572999; 278602988; 714113326; 264323635; 1065621918; 365521726; 795007877; 389565799; 332556577; 555825535; 323336825; 593048727; 422902379; 435090662; 332439104; 477115615; 293884798; 212616917; 861164508; 862046886; 928710996; 36071946; 133247642; 377665701; 609345243; 866455580; 155439534; 97106282; 676139147; 403559034; 444463549; 652911075; 659291857; 788474951; 744775652; 403663301; 945049771; 57876589; 241522102; 1020220799; 1071145704; 464936551; 673238562; 818585251; 826507377; 418662700; 60051568; 813315748; 398743019; 177008467; 992618487; 945097659; 900099277; 286445530; 710453373; 130479401; 125871958; 62951612; 271970237; 1021948591; 426775351; 358627189; 927141540; 93726114; 83433736; 189705453; 924920507; 935083179; 227618696; 8273546; 145067293; 833277861; 753806898; 173986515; 678944447; 920309541; 920602576; 425737042; 476941337; 853201597; 963040589; 367665416; 157547502; 272625710; 373182150; 917886748; 75446511; 138280745; 645272478; 622865216; 437891998; 372337984; 137670550; 493178948; 316426113; 313207188; 491445681; 392449764; 947038933; 550784144; 932005837; 76247929; 62346381; 411675428; 636997323; 519746009; 717531649; 251911039; 907223598; 906596650; 288955485; 561369424; 435507017; 656103824; 646994479; 861582420; 76945157; 756695712; 754200137; 254406318; 270916488; 974091308; 40815862; 474676413; 1025625482; 414155046; 236049104; 739394310; 292795720; 308821809; 284403316; 398897678; 172346083; 742496411; 522606732; 853863094; 253604924; 236760367; 596340639; 393701312; 854197225; 1033608795; 267308769; 775403037; 125873056; 202664252; 227947170; 376997041; 509678969; 668873282; 765537195; 774209147; 1020839065; 692483471; 306100754; 585455072; 398071340; 153142281; 379481004; 903780771; 394074939; 760490345; 511982006; 1073600756; 198329210; 459248584; 503385927; 526477686; 117423724; 72482153; 179663985; 832882881; 340988268; 129483745; 270975555; 773861781; 449158085; 738691000; 306789619; 626920877; 314674958; 137819835; 758869082; 571906519; 230542899; 841258525; 219573052; 284738592; 475167410; 816380247; 335848116; 850934808; 341986285; 837897654; 575829833; 532359011; 1008574270; 704332865; 817194605; 173337219; 980041758; 529475853; 1018422404; 1072686924; 910836516; 161008065; 216199677; 1048359064; 662679006; 715625068; 329795001; 233609233; 355627274; 359323526; 1047966841; 465234618; 295895789; 925903228; 541168683; 807226944; 114545727; 78585258; 304181815; 58273541; 321122923; 71390329; 391640097; 585840957; 398021914; 990639829; 932241781; 807463010; 4139179; 695278113; 48658307; 1030599304; 317806320; 18407113; 437869590; 118226130; 324781483; 975541505; 497190258; 204834000; 350271498; 945918289; 180307300; 391745778; 843862101; 894377640; 494679918; 380265865; 528496294; 767116449; 788132540; 244776937; 664411082; 743276623; 1009893387; 864979898; 129146381; 519723823; 623434809; 688517000; 13916210; 104290450; 745965441; 1069642153; 506700321; 816666065; 474112606; 155389067; 532410580; 18841584; 238284995; 185967018; 417517835; 421514588; 382506167; 658950270; 716478110; 760376293; 157838356; 462615398; 599819175; 721687270; 911967425; 338422059; 348745509; 351574707; 431245433; 42534499; 51462578; 906580663; 493885891; 946507528; 956186960; 4254989; 919455213; 265218400; 975211693; 172952566; 573662050; 50141413; 1067663092; 169301330; 3634564; 451618381; 942202078; 1028788637; 518640783; 617072878; 419671199; 683352691; 421857465; 130896279; 538340675; 218470509; 626250176; 260014076; 41366424; 252998454; 521130704; 1014993228; 129785707; 642520930; 730094787; 1035224508; 280237064; 818304173; 601845090; 971006528; 673922958; 42711303; 165451197; 183350564; 897127233; 558927214; 928085344; 67137345; 532394815; 327235609; 473368425; 967133573; 681531566; 366133614; 523039288; 867677179; 96775602; 97693804; 247963780; 115329990; 833618386; 458815442; 589928854; 708188845; 993452890; 629500246; 546909006; 875349604; 300964163; 999347944; 476760534; 399664873; 107548646; 266816242; 47739336; 296256168; 664458810; 882866841; 276192757; 799784880; 599273252; 497316933; 113331052; 158322002; 512874054; 353577069; 726932976; 426262805; 406006327; 833287886; 209930884; 437631266; 551863223; 589440845; 151510232; 794491667; 219060010; 740857061; 975625883; 448715882; 51798719; 119791796; 485708478; 571167372; 171825535; 619901613; 949292614; 920103054; 1052797989; 400842143; 845214611; 397510751; 148757546; 946768266; 826558105; 704527521; 979444587; 776656666; 646310684; 730347394; 543666771; 912650453; 981454378; 203241941; 489419886; 826712797; 738577470; 930244366; 510778682; 678322359; 704815531; 691401759; 524030009; 238604584; 504859511; 203599754; 13571204; 616540857; 103889292; 653527139; 473178215; 711828134; 296193530; 688080334; 419466583; 939532449; 681261032; 933894994; 437780511; 906725118; 679073877; 650244244; 59451925; 41462684; 78839222; 852114509; 75599968; 74761956; 326795301; 284658093; 807929329; 839995345; 817601079; 5653367; 680193783; 464036256; 813465378; 975593435; 478423211; 986169317; 179648483; 1057678656; 906760465; 683614478; 251036856; 1030597099; 903303157; 307197483; 882929398; 411076560; 427134148; 96399633; 820908405; 570432431; 754349886; 746409281; 186167515; 1055535092; 448083719; 421229294; 157091619; 810684310; 588392755; 708037288; 548416457; 901653627; 132330826; 161402481; 437026114; 720625740; 304572506; 988205690; 880744578; 692835451; 1012412241; 886896261; 658664491; 261885987; 400975103; 796496436; 702588866; 527820650; 431212540; 743389495; 289267336; 1068355511; 825491043; 620031009; 358017162; 1073665381; 643331268; 733684620; 315987095; 734594264; 450747190; 812941206; 299732381; 684075662; 905366534; 523520762; 725990661; 1031289705; 778399136; 182824187; 879644169; 50496119; 928042554; 346491014; 198475526; 868264380; 871463440; 350614528; 318063790; 284519402; 746367232; 417005450; 224879935; 573611409; 675178795; 310110299; 979306734; 659619709; 641448155; 38405462; 52155096; 900705058; 990362270; 871298113; 308861421; 567024646; 411585042; 67455566; 622165517; 851638627; 956781332; 348833167; 807147561; 207856287; 619401409; 452495341; 360372305; 1058356592; 559722430; 703951906; 771252037; 434071459; 579787423; 58528411; 220891553; 164765602; 371257246; 1008283243; 625847390; 1048598757; 822581709; 841354679; 859943348; 736086335; 359151584; 722403324; 1051886645; 447060046; 978153009; 882901717; 398430466; 896261144; 764276283; 462116528; 845302794; 978546257; 1071514345; 60377650; 321402076; 439147717; 728093132; 959206630; 871742853; 711797320; 430883196; 974730274; 972924046; 282012519; 1051739308; 612623040; 217832338; 246244182; 783755777; 693408128; 1070343545; 413021098; 457061753; 877162370; 832796026; 330576506; 401366085; 1059151720; 182282696; 635274626; 775604191; 823544635; 25311868; 631778170; 483984143; 53735205; 282137903; 758025513; 782759731; 782941508; 557795273; 922524703; 796547699; 974121857; 608215724; 782493315; 389976314; 435850552; 286719976; 60656023; 208013262; 504942339; 723164971; 150322659; 620304563; 765839889; 558113147; 162549636; 383667900; 474779080; 362031752; 136736648; 1065382722; 1073444973; 225062091; 190616645; 789678125; 90498550; 1018306849; 242801114; 368315868; 208400038; 798494099; 435592169; 752208952; 579683606; 76787731; 986289813; 844661594; 295337145; 214046584; 733708384; 124550534; 804031615; 677690042; 997115746; 394909334; 21783052; 540281772; 25567972; 868449966; 790961105; 901793486; 669400665; 1054889766; 281367979; 136587120; 7874864; 788379290; 568945424; 638327713; 590226648; 799381917; 575230463; 312714058; 309927135; 288215631; 703908245; 793562014; 302961840; 974211308; 687462380; 376732619; 585839511; 568760235; 393565236; 478958223; 750092770; 754541239; 616301063; 577312607; 782241271; 815194679; 597783998; 72365080; 567719970; 487307512; 514502817; 249351632; 625612022; 73749473; 975313857; 658878678; 529346206; 306033924; 643025936; 333481414; 197369125; 22011113; 349459256; 57660717; 378052190; 1040370869; 853605535; 586616639; 731163954; 253666037; 14160686; 320475344; 681550428; 247127434; 725440685; 183907655; 270923447; 1055420305; 1052827110; 43613127; 490812347; 618264556; 801451325; 390582522; 639455997; 743356783; 633499559; 1013879996; 113651707; 115819556; 768807588; 471327805; 1014409349; 305233016; 137766213; 146555849; 162053735; 416485438; 474558094; 1044823676; 264130648; 842375988; 999017117; 39489737; 511922134; 3649385; 461056247; 923277517; 661455428; 157033844; 230466729; 156158955; 425247132; 219711018; 479533492; 374023196; 571837009; 950951558; 449868520; 322870057; 178424700; 625306609; 108783494; 117143100; 974666532; 832192514; 65374432; 60112295; 603573048; 115824016; 20156196; 781287981; 488910369; 476080808; 864781225; 370071415; 694758164; 914717196; 258292205; 109358914; 483409429; 615661591; 261886112; 657250807; 347726931; 484906050; 320213457; 84021455; 116079410; 1042487787; 655051426; 463977317; 513573605; 122475748; 652101890; 610080292; 389595591; 552291209; 404134382; 803237297; 317898842; 522664185; 831536590; 129550651; 512999550; 522991072; 980693265; 825367083; 313431919; 204573835; 589327986; 927777324; 515581050; 728119388; 68123729; 933454852; 224421041; 922610741; 454759209; 804213208; 220750098; 696623633; 276155084; 694104068; 816500895; 966408247; 505449544; 85917963; 22799147; 792218053; 467983303; 994542236; 864850394; 1003323913; 902395462; 236130672; 565396835; 934097359; 32393418; 936568002; 344896311; 91359569; 595967845; 370486730; 78188253; 147987147; 1028229507; 441064102; 269730642; 702601686; 26788364; 483217226; 531787095; 626603297; 886669770; 643031442; 742255841; 476400703; 452549674; 258707511; 271416354; 463689622; 353054085; 667404100; 365006560; 654778174; 351257102; 258109122; 70882041; 901930294; 722155815; 933670625; 686843235; 674094063; 365115881; 806238914; 672499071; 13663493; 837123084; 562749689; 1068070758; 749302128; 75323589; 713505766; 976781801; 313344848; 244029213; 754105446; 1022725307; 433187775; 660379614; 795843054; 298227040; 543073595; 597353749; 848508134; 1008708163; 838482812; 632467812; 183753278; 101283756; 82967346; 903448834; 692295786; 926217769; 424210447; 711410286; 414737181; 158317737; 181172444; 176800542; 205849741; 345939181; 337658432; 1053085253; 897481758; 977468893; 331887832; 434688196; 998732189; 523884582; 496715487; 641358857; 754649990; 409197083; 233235293; 124440047; 357741973; 837619525; 460874143; 987798079; 239336679; 724621402; 896666055; 361505068; 22314572; 891257756; 549040735; 871507864; 768223791; 784570324; 279039617; 515152713; 612003626; 266581095; 435011278; 569806877; 878635537; 372784748; 410630557; 797630014; 393605152; 498162851; 868720565; 679029216; 134430655; 685830951; 277927849; 157552290; 667334974; 129888975; 761014281; 741892608; 54546453; 3254546; 414577875; 591200636; 718402292; 613056115; 420332533; 977537044; 141348432; 48892391; 973301700; 818347959; 467227138; 840579595; 951711356; 624314369; 428850849; 641133107; 991356763; 196358141; 573787549; 56087394; 243984974; 910664487; 477308934; 565283652; 1071988565; 746029637; 1047802887; 793653540; 917092890; 142171010; 369831218; 741830776; 634109818; 290462745; 637872926; 1016297387; 120114320; 748881225; 224101619; 906791170; 599757294; 542784676; 454820298; 110519950; 737617243; 909829204; 427234540; 425156789; 328119332; 837288686; 279140631; 549704706; 384094759; 34056197; 586868316; 952885761; 513278491; 44993247; 776516941; 165658267; 641823886; 452216843; 226515993; 139915582; 962006140; 560039980; 851766778; 512025714; 218523995; 695341183; 438298551; 1031289243; 603384030; 274179030; 638249491; 540206384; 380097369; 835722249; 17936230; 895454838; 742877761; 900964865; 524063320; 498281052; 959835447; 224992232; 984934253; 201872018; 736745072; 933136739; 196750169; 79223445; 359416040; 57597532; 11903220; 408266733; 778394453; 866325413; 295346909; 258064144; 580214530; 1036842062; 1052890519; 575447990; 992214782; 434366872; 484059966; 713679418; 805609971; 272728712; 403678266; 386302930; 840057303; 1060239218; 658653641; 453190439; 325295280; 474465712; 740392491; 250735791; 47061599; 76821354; 812657303; 746870461; 35873686; 870527447; 365453767; 769013777; 779473361; 942056823; 391300069; 792564954; 1051817067; 514121505; 32291607; 757489359; 653233715; 803692801; 258931752; 186379459; 871048416; 351605926; 849665672; 258826600; 1066805620; 734821829; 90318106; 545074251; 291273666; 391264365; 741371207; 572817902; 614367458; 551249397; 148263705; 340409731; 639394080; 581753106; 514484110; 17922215; 1051238094; 539465249; 973056403; 735842913; 245197947; 504086986; 45382702; 696340396; 98050202; 569400726; 806426497; 350504002; 804609757; 1043661791; 91340185; 443916799; 535930638; 275404696; 916437825; 138092489; 547548612; 427527046; 44988555; 297025015; 885606522; 160438666; 252746722; 598453035; 548451393; 945206679; 1052534586; 768065675; 874941466; 788076724; 1033853968; 855560457; 65120924; 277816975; 99570779; 901101233; 856725340; 882960539; 706021007; 737289977; 291107919; 917121610; 623713196; 259890041; 478931880; 162612470; 200833352; 28011484; 933743645; 328328463; 1007878396; 560570059; 962960614; 651378432; 612541463; 132608557; 1029787355; 118895071; 641875514; 822039444; 284398111; 497702141; 1029224113; 1056334391; 78065091; 680631325; 973443288; 356898583; 653285924; 879100731; 37224475; 114939689; 1001899611; 730452441; 980035245; 1002574856; 794958670; 524718979; 162818917; 141481695; 637869212; 175010463; 105337906; 721403910; 875338659; 334697398; 433351033; 925429127; 659857164; 835320951; 99290826; 739312684; 657698899; 68901372; 94294774; 14346457; 573392812; 13957375; 720590568; 138978138; 739158491; 461659750; 191947431; 424872097; 889252634; 697251181; 139138613; 723654673; 67340707; 770837242; 591229663; 864094154; 664753559; 592179799; 832414881; 679278919; 192805592; 526506364; 346267826; 712300563; 376561327; 594964517; 304074737; 439121860; 414753247; 149874789; 656852797; 389296940; 463695027; 38893966; 650401895; 916356302; 717899223; 1021687315; 845608354; 810332025; 1040739997; 506978385; 591805748; 708702818; 628640851; 1012424342; 890144175; 614083902; 964539359; 1021424149; 45396364; 996561753; 639009881; 367618642; 445392454; 528383573; 885596489; 552600984; 678449632; 922165108; 857144115; 270560667; 461228783; 195238598; 459166731; 798037209; 923063027; 867877519; 393857126; 361127756; 618477677; 296777629; 191225970; 326833583; 821038221; 709730407; 83623547; 149676881; 201911529; 137879660; 115655231; 588371267; 110004871; 938945563; 597067855; 702579217; 897822426; 520930584; 175246394; 620280217; 752139618; 869264214; 555998467; 712645064; 74094529; 48842328; 639641225; 361640539; 1065375872; 500316767; 682135343; 508485204; 620436142; 113978818; 757087838; 535740964; 837112065; 180622778; 606912293; 870192477; 77638331; 619180493; 765818102; 377151062; 586037955; 904391770; 61961797; 213827725; 708606730; 103114308; 656889753; 705011864; 314053961; 790425027; 287144888; 532004038; 715726828; 252658764; 28782909; 947551544; 84297219; 267586434; 446796178; 260568396; 622742231; 1062827180; 1045800698; 652295008; 983752061; 1052758779; 934099786; 862906886; 1039312468; 692035381; 476154923; 529254709; 937993521; 948680491; 329417379; 521649245; 115200528; 596221966; 100357118; 305776559; 448263979; 984508989; 672291570; 206014554; 642664591; 991371; 860033859; 508773967; 927437492; 751989638; 64682873; 559667817; 808849133; 365354120; 903049449; 453965522; 15853793; 56317217; 926777773; 184253207; 288804131; 166349060; 432340163; 68296227; 121236437; 305300208; 420803578; 1032466891; 162476946; 923635178; 943040072; 804701521; 134848539; 338047470; 108881768; 606770431; 961482545; 648797055; 697751251; 1017354870; 701861908; 1553480; 334152201; 1021971793; 415864242; 498537840; 546154838; 853501995; 401462223; 323678176; 690051036; 1047183876; 59589413; 117861103; 1043512228; 281638933; 1061625599; 325745100; 627567437; 1018861264; 579997729; 558980491; 839716187; 1072031499; 733805880; 387896238; 443592284; 211221837; 256155733; 186201976; 744796307; 196668084; 352996182; 705494984; 502346403; 442229200; 663687698; 659522096; 251504458; 158813528; 103289418; 366518564; 194609598; 616133710; 254818156; 876934845; 750316078; 856088219; 396553277; 562785298; 52705025; 617919898; 399772442; 493081268; 916681508; 133164637; 288815257; 861047561; 261740733; 717719566; 619213208; 556127915; 783860768; 366294699; 114033863; 973284408; 747245116; 623533253; 285173766; 552199390; 694075224; 858276483; 206250068; 1065580862; 559746804; 291608757; 138387803; 620095224; 651765192; 830094089; 793116858; 935904455; 603217557; 633747425; 125541952; 31156698; 261469146; 435120038; 281295153; 582670563; 1030562834; 752273361; 515540419; 957643852; 798843845; 427313625; 43860792; 124793608; 665552593; 1034977936; 115255468; 987036968; 119453226; 427037136; 108139007; 670067277; 47032741; 368277340; 233649473; 544292004; 689677332; 921911564; 930660386; 254943373; 985057209; 730681427; 43055262; 29990613; 929873983; 200791036; 430851203; 491239336; 952313231; 701256569; 1047845966; 927114448; 76084579; 674198555; 212251616; 480993686; 110978978; 112428403; 765011603; 856611991; 950590606; 238479265; 648360641; 1048523850; 124534490; 493551129; 929614987; 613342522; 894462328; 558214336; 264919532; 527489690; 370911341; 304618764; 759122240; 586773723; 582576725; 1047006201; 243525541; 483536102; 771039562; 38125214; 401434134; 789247109; 894711432; 878814703; 898422185; 87781253; 605047902; 1052750149; 179064514; 80451734; 993623259; 342017524; 1053940686; 324429260; 952294989; 23618399; 1030465683; 617983259; 419623105; 86746289; 625961419; 331288051; 214426577; 1065988129; 655469555; 74459888; 576521520; 707336445; 660398696; 709121674; 57087008; 472308677; 320988619; 580103577; 1058655046; 447046135; 26922885; 204905708; 824024271; 25089454; 443547780; 782293959; 791415836; 379082723; 286336136; 634181572; 193399144; 374900772; 638545076; 719358261; 144466785; 661433691; 624358010; 958227647; 871170126; 661932187; 618332250; 567467840; 844464909; 561931176; 974071145; 465689319; 647222316; 1001588277; 1030099557; 454151454; 118491621; 262777982; 590896440; 312681950; 117721065; 395003285; 571790406; 637031639; 147263886; 863395836; 309921464; 294392479; 841713558; 1057038191; 1066814229; 928014812; 220872853; 994792008; 220669302; 434976524; 39288128; 81434681; 669574437; 393193503; 556735311; 459958670; 998767010; 841289531; 1035759161; 273437244; 139737220; 558255510; 611500974; 910673207; 518806084; 46934152; 481705166; 269411852; 361998489; 832021802; 1047944588; 859776408; 1026407419; 984814740; 946650205; 1027331719; 897451264; 410813342; 206294786; 193901861; 1035089505; 655464560; 727061926; 90945117; 558091194; 660541249; 288792494; 861475299; 955291677; 13204930; 145029717; 530394796; 329260848; 612276441; 592963954; 24814667; 230150732; 761972723; 831686967; 867360069; 581877712; 494801898; 776888299; 999616349; 589942532; 587651803; 903443309; 90211423; 852465768; 749165697; 103871428; 676415422; 139615383; 923042120; 1058811228; 1057731438; 565174854; 575727436; 702907028; 291873286; 121244798; 361418300; 913864957; 692517267; 390982411; 229618817; 894914548; 394918028; 908544623; 128647643; 37177771; 722455142; 359304048; 135647826; 668119073; 718216297; 167227674; 348588321; 308797728; 130626629; 969228265; 70283110; 218574359; 482503544; 664814401; 544913204; 840580236; 203357285; 24595812; 821692339; 180650514; 597693542; 495978760; 946635779; 397646750; 604373308; 965786282; 356027229; 781914640; 502930505; 675295007; 817982674; 754510245; 767176549; 193987186; 840756062; 174916758; 280712361; 167788438; 495823941; 216973911; 719480435; 896197356; 992450725; 24390797; 419433508; 466440979; 736560868; 623992862; 819953867; 664309474; 454500881; 756192694; 32812677; 741185393; 33078321; 902934909; 328762552; 145199259; 874547890; 1052370659; 706337872; 670265044; 1047987042; 145174869; 1029536832; 198166282; 624105698; 535350695; 742991369; 64605421; 749425202; 60383394; 730413904; 653232232; 51739257; 411204193; 91759623; 272557809; 179908432; 770345113; 356718038; 731328671; 554350039; 179931671; 236880927; 205853805; 21213783; 548102137; 806779855; 893025077; 266319463; 75131963; 331506724; 87704253; 618023253; 536209103; 101747879; 840280829; 963368027; 437533485; 320173926; 1030773773; 402031803; 592438827; 62044265; 647295775; 928627618; 1038777971; 444661505; 809382265; 427075463; 101260041; 959235550; 1018447256; 581589943; 243042999; 938506250; 272067784; 878408099; 695061874; 962744551; 163393303; 993223282; 871875135; 79260653; 905974479; 877189934; 524479720; 242893538; 45171250; 16760252; 968866487; 481129504; 189668110; 738236602; 325197109; 767518331; 467888166; 352503302; 204973344; 333683158; 797119132; 919889419; 146425396; 33807460; 726837057; 55854142; 427552105; 912257751; 737213560; 538401848; 1036637229; 1067875052; 959534267; 28188654; 101677935; 749299100; 42867485; 873979023; 41627544; 116208868; 65857851; 274031351; 560653459; 484958204; 63815641; 575114660; 569292171; 689318412; 320702753; 687849652; 257179999; 1043242386; 822744048; 343424910; 988092587; 397742329; 116520382; 155422218; 43408632; 325241195; 505285383; 660223829; 194587711; 67286697; 528163885; 616168604; 8337737; 331600093; 71333908; 362653878; 385802152; 66020936; 514408951; 179938978; 208193319; 902600398; 357757737; 866096866; 714980618; 748832552; 532614811; 392877501; 549387994; 749213648; 6358017; 434841893; 799550212; 430058219; 911152554; 147194846; 316273818; 963522338; 818107894; 845005280; 650073152; 440468677; 764139766; 1010510583; 859018019; 1006185788; 230271364; 208315317; 891667990; 465443431; 702682311; 943489072; 32584745; 1010760168; 879263499; 500803022; 328586870; 768471043; 405911981; 849024694; 844033837; 252066524; 555567280; 118078628; 623971533; 317323335; 820983867; 514367675; 741106030; 521296063; 447816431; 535973952; 47419690; 640230645; 204400904; 623110734; 40778556; 245892059; 646270005; 63911068; 179822874; 688686114; 128647478; 743957072; 415623216; 14027431; 598786292; 422972027; 667897281; 296427906; 675320793; 604977490; 781166902; 608068407; 101887248; 720658336; 855747705; 591763002; 98326602; 130171783; 11212233; 620163570; 802668031; 954401494; 3095955; 1060902940; 93625557; 740664139; 756764903; 1055571871; 976851725; 757377995; 104973037; 451480991; 197886513; 296847512; 617025655; 942062365; 857981092; 763451668; 1030178260; 701217837; 207638253; 60856368; 1065889892; 956996008; 234558877; 257150548; 654808485; 374649214; 1070471452; 972132478; 799655859; 784444730; 76798555; 1036672281; 544439862; 18838596; 909750281; 287448102; 258852536; 640022888; 671687254; 717076126; 91368581; 52177976; 373201787; 887293425; 447548464; 864667748; 219449547; 1028633694; 925888131; 77004842; 49646702; 21255495; 236947607; 522657709; 732582711; 539746780; 140207480; 836623724; 887519478; 498682243; 1016719863; 657409366; 482628836; 897489643; 740063242; 719926005; 800098858; 91573913; 435768079; 1019474059; 965435858; 533576470; 948206377; 914962835; 951261569; 234600240; 756167071; 660581436; 125825779; 305571936; 86851342; 326551762; 563291780; 780839213; 54793504; 259010384; 416527864; 171700130; 209476329; 759820134; 983844513; 178947528; 245035731; 506539641; 244087391; 1014220649; 847900095; 665134642; 650938188; 254905874; 88312044; 62439195; 19608882; 225123691; 888409942; 882834058; 666138430; 1071991161; 6697102; 508215631; 746004856; 231760307; 472109973; 526274858; 581577502; 256357937; 917879012; 604483614; 1069132991; 717499901; 771711176; 729350308; 115458178; 98423331; 858357427; 795363858; 1070699284; 338212858; 631955954; 994838408; 627477262; 657496036; 697131361; 827153226; 441710106; 351874950; 343438495; 1065130816; 195798835; 425331022; 209805267; 157040488; 495361289; 771953661; 382136235; 137515460; 1011917989; 808529300; 889077408; 355876877; 580442133; 22630211; 508913784; 305519694; 269127658; 104028217; 347046495; 795904487; 539843017; 447813030; 598022305; 444725935; 852574851; 240828692; 287749014; 215042747; 110315027; 278563397; 414883897; 937407499; 585656500; 200460974; 607385731; 839613421; 731494815; 362182632; 409560016; 291910844; 752122546; 873793552; 563002089; 552096457; 469154558; 764226548; 952544370; 938761411; 980154295; 1051229870; 902374521; 568503887; 303120579; 965327660; 325662466; 870587466; 384867078; 613996670; 59038048; 799303759; 276629704; 400462693; 733341953; 559152492; 594933448; 342523876; 766828090; 779406492; 123837290; 1022524858; 404490756; 734419069; 789394303; 374616894; 825619812; 1004498427; 810642221; 951294793; 743136741; 417416725; 449720935; 939094563; 359036982; 318171844; 237085061; 547067898; 259797526; 944939662; 409559139; 987357920; 114261035; 1023533166; 477808249; 861765434; 294034197; 110443864; 5444822; 373369663; 958327776; 387006520; 660233232; 235374393; 417284887; 59788122; 691863947; 1005659231; 307235333; 453853624; 536996261; 204537325; 226788154; 1065397727; 895166250; 66003615; 938541246; 193489213; 78316146; 413400065; 690095156; 610086498; 453600351; 581382302; 1001955412; 710212055; 107463504; 119789729; 433695597; 1031351354; 527607214; 724151364; 732897183; 377725118; 412054718; 471418096; 683491979; 362886985; 788568215; 414121844; 585500429; 129109621; 474211621; 740794464; 696700514; 350731636; 43268276; 706057291; 665788457; 361088912; 128293589; 666425692; 579747248; 351338893; 923731474; 616054150; 132975329; 588147068; 678853755; 993794578; 979165686; 220951603; 886331757; 785050140; 466196440; 605433957; 473408155; 6458464; 430697760; 610042349; 820092189; 85730382; 966529889; 272082378; 261432359; 771195316; 156796094; 393728640; 648389976; 135241187; 677203712; 64910295; 367856493; 911729435; 628116611; 401598179; 63187150; 23865571; 465348969; 243299977; 1067063409; 915324665; 1023689563; 260512467; 436425636; 779700279; 143087763; 716121735; 960414898; 341585470; 411567346; 1008216408; 931974961; 635914064; 317061446; 495186806; 1055300985; 854042186; 525036831; 805384192; 15086711; 700839866; 1004325197; 739149011; 667836874; 228999805; 451064660; 97303371; 237828822; 287854335; 788125340; 37726437; 882992725; 247776219; 672374479; 602842744; 522535146; 36312351; 427823486; 957279843; 354105345; 290056224; 161390765; 503880526; 158175472; 462678393; 1419946; 857905246; 8921753; 25093677; 350083704; 1065997690; 730710694; 253566963; 682184746; 384665743; 426516907; 541600329; 961325856; 275199871; 394192769; 1040267113; 186474336; 526959718; 577876282; 1011800526; 334872142; 519791672; 465847733; 231220867; 412050070; 307140762; 414267951; 902131321; 382709602; 1044161684; 929983264; 464911199; 1027420261; 152633444; 941406406; 900555499; 375741091; 749365584; 204726892; 763471817; 906318645; 250354716; 634620085; 592574658; 291531433; 137779513; 247849575; 548547466; 980212220; 994873327; 466257338; 259380742; 44696808; 532606474; 92902904; 984501374; 274994760; 410567481; 884451672; 108309276; 703062465; 22660326; 22531037; 423346230; 573631383; 648970794; 402805765; 49003316; 808703706; 381085708; 54528526; 170915249; 559400519; 1009800131; 606512474; 510364275; 608054863; 341650174; 1031112344; 982374137; 967137480; 1056711593; 268583202; 163559782; 420162322; 881421307; 665444002; 267311954; 694906585; 635494612; 712971372; 813079887; 221896825; 329746548; 755524738; 275701664; 865231056; 895786167; 554500778; 160061654; 812997908; 988601630; 978485656; 635698849; 526439411; 441131797; 955736824; 683695262; 114953765; 58626493; 1007323911; 705287599; 399478253; 685946380; 487621365; 10585439; 409774242; 762792013; 589705095; 106645509; 676558568; 1038545552; 444693129; 1042551888; 50596178; 1049937926; 732136006; 408798498; 507161643; 690756518; 6185063; 225279939; 554122290; 947238240; 445311170; 50021811; 267069879; 15573038; 451912078; 845556417; 407645237; 864010212; 289648864; 165843118; 644383101; 424639970; 191114667; 721278336; 580202886; 837561785; 925800910; 864473027; 489328349; 321253218; 826555312; 790558215; 568964393; 334268294; 534683369; 911591422; 841130253; 66838438; 437187520; 290217863; 729125749; 616164980; 591131166; 683906212; 550730349; 413212999; 63420616; 985067090; 962734983; 874467612; 316657410; 1051575928; 873277656; 1002660622; 401131485; 641487636; 128022779; 375548919; 928025060; 621360182; 843160659; 647947913; 1066897619; 925501011; 238049161; 897951797; 251496735; 1011041014; 350486393; 440007163; 209554; 727985172; 858934294; 884787993; 126370612; 137595297; 40525286; 781526520; 224681168; 409083563; 317052401; 219718953; 267568601; 425023986; 713433669; 912262346; 367490639; 144553434; 85111003; 949031346; 441154248; 445196272; 620810582; 65667986; 200503829; 464857106; 981133682; 34913131; 463516306; 771757645; 318949539; 100924200; 202111072; 586954034; 758854465; 345829017; 291503058; 771602295; 495367635; 236272748; 478930536; 473354013; 76718130; 919031109; 179742103; 739774574; 1009680134; 57197457; 141123382; 904006579; 191153761; 248458259; 75133701; 981708326; 437436642; 83311270; 926193629; 33578777; 520446554; 636418579; 900657104; 165953344; 771033037; 305768809; 233932774; 947952712; 946806380; 838611220; 765960782; 207949624; 430543857; 928286231; 842733368; 263513941; 604029844; 738258955; 1004770439; 989578813; 682414452; 126953012; 527885564; 745993956; 333731882; 591608307; 389240811; 804457774; 275273873; 403308544; 834073524; 600277930; 116184400; 189904096; 643655931; 811287011; 781486903; 550587559; 700285979; 546646989; 957481628; 280324513; 17450951; 154906365; 22734383; 336519564; 1036418961; 207921531; 256440325; 725987047; 88703588; 234711225; 248971779; 552326846; 156802622; 270712730; 1014978486; 405718959; 995028319; 828275082; 649278169; 436551680; 642392072; 972483444; 502396028; 722777805; 100826366; 967647437; 754283201; 755727949; 561678690; 101492397; 1059695700; 1020360132; 934300714; 1043836085; 390151893; 846551154; 726067137; 236222059; 385009812; 353010810; 431041585; 989776770; 161584923; 244207207; 445570292; 198085029; 598503904; 416554169; 752645426; 252267249; 393577431; 53961894; 571167704; 239684246; 734266492; 1042271466; 520367108; 106550333; 793877728; 553745032; 903309604; 198910099; 954500341; 620268832; 1041039298; 885754759; 431450144; 578559072; 1033574779; 564172516; 652790318; 1008519529; 518085792; 314932422; 421611041; 765349438; 932832348; 91508851; 790716758; 809806642; 342870066; 1055204802; 345627689; 119945817; 574102143; 414235950; 359235479; 180062703; 335171713; 245184947; 706646418; 802176793; 349344551; 776787152; 1006597817; 612803966; 696187464; 668619370; 1044614403; 737734142; 183843757; 974200978; 127768564; 996982755; 727921253; 912742880; 952848192; 1016911357; 490113345; 279971670; 252036672; 95618576; 643660682; 1018019094; 484301103; 814128119; 982708015; 915131475; 957042871; 564102975; 440157088; 468154394; 747589719; 588751800; 816941344; 90441977; 128550095; 597518857; 656906188; 507765164; 539864787; 273262590; 1014817849; 181918814; 785954362; 599114890; 193366535; 785549718; 165345931; 612950374; 237797564; 69508751; 361633104; 421191947; 829138417; 171871463; 611485940; 362298449; 495772731; 48540383; 689662473; 877285775; 513876808; 909783778; 978055000; 709766115; 1073476253; 63487567; 457401356; 551479896; 750405656; 757241660; 925569493; 365969881; 769898532; 59140675; 755526769; 892108290; 285820073; 1041132025; 10947267; 730959460; 493341474; 495301177; 865682710; 8427811; 984366431; 315084447; 762378348; 340481178; 694197124; 738306869; 369429712; 1041844111; 522657914; 292418533; 834491538; 293473843; 133977678; 131896713; 693009737; 453716209; 120848714; 766768647; 235627308; 259948741; 910180454; 258672402; 763151576; 952856125; 549214442; 318156455; 371635292; 340050237; 64286566; 771261723; 74616473; 522431842; 412737169; 1058007112; 226576805; 855402583; 560445974; 632977586; 188039510; 860512971; 991508190; 539532181; 123469502; 536770969; 540844282; 218981528; 654975705; 1006129488; 459698467; 785757684; 23250173; 260878371; 509176425; 157609012; 41595450; 736475254; 189367194; 731673636; 23266007; 1037240453; 387988397; 28529526; 1017647751; 606887182; 230895595; 186529436; 369117388; 323716108; 956986728; 255964536; 343616451; 274724386; 809370712; 461325264; 908244432; 460513704; 321460756; 927316203; 549043310; 679376588; 839197480; 918308112; 67647675; 465080515; 1062196248; 343080724; 719214571; 628178420; 325693701; 111797401; 389582628; 200058816; 15953235; 645176902; 1022385215; 37888520; 944709216; 179998805; 491215249; 1036174277; 864456999; 236221171; 453617856; 762995978; 955679645; 151290322; 575163804; 974524027; 773461184; 909671330; 298380979; 799429843; 926709379; 781467582; 998425519; 456060267; 82433884; 38589485; 265502332; 700423763; 212105227; 967452113; 995429168; 987172165; 818521511; 303559037; 230265628; 325240259; 579769372; 713096756; 556622139; 249760424; 180356962; 846820929; 658137882; 740093254; 425891862; 526896231; 960740450; 113685623; 639463365; 992812675; 800728440; 472204483; 636971066; 899678252; 988046814; 171695490; 87878246; 367551565; 392568668; 701498664; 273628277; 989113913; 112483671; 271133803; 911263885; 32016934; 347390325; 674258502; 729923398; 480617888; 497919866; 96929537; 99044440; 777061652; 687815189; 289707307; 479438114; 135461921; 897776890; 400366985; 1041271453; 167249995; 671083595; 34198; 451017474; 993698731; 168126605; 60469517; 949983280; 105603541; 894609240; 204841333; 126761301; 244556769; 449802131; 779375774; 578021938; 1011858755; 278828661; 396573062; 816675337; 316810617; 355255408; 586312757; 199797824; 809275129; 854774443; 248667170; 169080251; 1558014; 83201928; 940118789; 480171409; 171261325; 159035647; 592419104; 89864261; 727614978; 641378526; 365169556; 456913856; 68202028; 134456390; 1016352363; 719623976; 260222736; 773238008; 487665606; 488311020; 567991658; 371414432; 404897570; 525465428; 793828908; 76258542; 855844575; 922466925; 201277422; 1046261414; 844085786; 287014233; 551013719; 454308682; 158526004; 324291964; 215196282; 370742358; 1068368320; 271936494; 248173402; 712617889; 378546114; 16076889; 236957872; 679505840; 814874605; 408462701; 170961314; 198604347; 691448387; 240135704; 646379970; 924847291; 196899794; 591041506; 208520267; 251392449; 727767845; 594783326; 703229696; 523554596; 975763008; 328563457; 214109113; 579702136; 449265012; 880185552; 355725468; 544700437; 240261393; 868369940; 786291046; 323709756; 1042311900; 110247197; 491685440; 828961821; 921213196; 805249026; 842429192; 143093133; 601818014; 175638738; 1006973377; 1051884340; 263904787; 826125482; 733586502; 1012350076; 623725421; 739900467; 1046215184; 813409440; 227449894; 647795549; 648309812; 926300058; 955418529; 994436161; 988279958; 531907944; 906306677; 661554505; 314365263; 23256684; 138789123; 385883050; 889278000; 576700706; 555115263; 872474748; 993108952; 441690740; 648239212; 132623396; 964618691; 193403539; 665016293; 369210970; 328581284; 261226374; 207322531; 484187359; 254766647; 770126681; 611439056; 1034931349; 179139670; 657029053; 863711177; 1055771063; 717229570; 543412094; 91615903; 886543924; 836374100; 116879164; 493277130; 419755636; 923851876; 583049076; 454070464; 375165868; 81308325; 917338149; 663493132; 396936679; 712576180; 267043432; 687357517; 863925695; 382594874; 1066682313; 453435946; 588284528; 911872408; 996291056; 47830910; 269841110; 20610356; 873724541; 383039926; 994335603; 631813985; 342189442; 223020200; 286217039; 578671582; 896257375; 168068466; 285121643; 622134446; 330916174; 936892762; 759409001; 737219302; 241933473; 821545982; 550113919; 569115393; 592121590; 881593749; 947234974; 871190320; 87627560; 433542679; 11909147; 821972254; 727409287; 898442305; 465148830; 872256542; 1061707537; 894567861; 553862998; 908877987; 123857442; 877505811; 569689846; 147888322; 997704031; 969990110; 779907253; 506808023; 591587774; 799993530; 1072218463; 149075035; 516308128; 606833368; 231614092; 625169493; 192527848; 295649385; 439585376; 693854208; 420447484; 665895033; 224390029; 767908740; 322961409; 424658327; 356693343; 431017613; 743292595; 1011545276; 448020590; 167810218; 1043068759; 70253782; 669916888; 523734545; 202641662; 847272226; 591619025; 461085567; 674980523; 619627040; 414708524; 804899305; 682313635; 855634049; 1045477461; 86327104; 373099999; 522902698; 330754763; 103442875; 482921071; 952493551; 220563063; 440600024; 203420770; 1034720683; 183085552; 197397669; 758479496; 251030576; 143252642; 347232878; 920001313; 428687505; 446724804; 314615697; 54610188; 863709475; 544998075; 716541386; 667971281; 288495903; 114650683; 473031468; 167723741; 237299715; 250397719; 856902140; 1034539768; 88275089; 808781678; 553724829; 169963273; 574819763; 276972183; 918680645; 311302485; 359921673; 558716351; 17578798; 329160826; 119677917; 221560625; 83046746; 83882908; 815824672; 811706427; 783287595; 72099298; 514333130; 623797634; 520697525; 175519037; 918184587; 1050903886; 625026973; 35297572; 203664941; 246901702; 435968073; 353552381; 817082509; 800199892; 457076311; 838089532; 333149812; 1015488640; 187039817; 466619290; 198187809; 628257612; 56560279; 204024304; 803370151; 752080500; 979781012; 212968642; 113517685; 676033789; 593096410; 239011948; 1018640012; 65550939; 978351770; 369565501; 460167819; 740846889; 650466141; 302806531; 779616058; 889863535; 467324628; 177606215; 246285495; 548075053; 383960989; 449416901; 802375652; 1034873313; 116330963; 901804233; 938416975; 578071710; 316000686; 694308196; 476475564; 954150064; 320458611; 282538166; 388114466; 859103054; 717617996; 883912386; 75974555; 863694882; 781586344; 526607633; 873098215; 526806629; 96925675; 318494760; 715062273; 245078658; 298692122; 303984485; 306781920; 766089535; 239798416; 8009214; 293006329; 270339142; 222529047; 524939673; 1056130759; 941338885; 572970400; 839169388; 68005408; 3171024; 443667024; 668782251; 1058311860; 972137642; 387413019; 466849313; 836255633; 773857247; 307142817; 693558506; 1027173610; 47461444; 765908301; 252724842; 363401804; 487325445; 753102943; 78551002; 542105232; 243887142; 185100432; 1006165114; 788725168; 51616447; 353181704; 45062248; 688861755; 6947849; 920825330; 735740857; 965739309; 989754950; 765647578; 636621152; 767980192; 573587323; 954233292; 760441457; 410120279; 1024897831; 180806820; 392503665; 163219685; 668001146; 245492306; 953121562; 154895623; 775543219; 507044267; 500367470; 95818074; 304196857; 233579653; 847186888; 1007976110; 75178302; 1044972330; 610260740; 606148549; 358729894; 1058771855; 107934987; 93100823; 1053915013; 374329601; 448159984; 1048601700; 765271656; 925847375; 623949831; 852685151; 1024723264; 543031904; 489459100; 714327288; 989365732; 945563280; 705658514; 214846370; 923696468; 626027707; 807536146; 338971204; 70208130; 362911728; 663202116; 319333890; 274199602; 816413267; 1002544878; 360866414; 875787104; 471731628; 926951268; 632301991; 860953455; 696521475; 22282346; 388628222; 606028045; 459880469; 952110699; 938491351; 386508487; 137891009; 462113693; 1056792717; 279268373; 93584744; 564277744; 517965232; 736242749; 315887463; 330809435; 215598794; 569260178; 769428612; 250155505; 290200376; 1033371924; 1054527469; 718344048; 868805766; 672370067; 339261549; 532251204; 125605789; 875617816; 746381362; 613710664; 106665704; 820411075; 472315579; 74346558; 350120734; 253581886; 802954147; 778536528; 1004305525; 146541398; 146911233; 848954392; 752490073; 144565194; 257840128; 854219613; 391975787; 1073556638; 307808070; 698179352; 87071548; 375058834; 505837667; 548237845; 151945179; 953528844; 685289940; 125697027; 980476650; 726812017; 800239610; 876177562; 871037415; 378191747; 644858143; 683876118; 621630326; 152259177; 746098398; 692228067; 752332668; 598268134; 391725866; 366844020; 82908276; 787601303; 982540244; 173256801; 181636391; 299523732; 259980726; 235437270; 398120490; 856089912; 43220535; 333261701; 12839594; 95658120; 1021840770; 94403633; 915136424; 899074925; 693666366; 889471762; 192412668; 985580174; 276146994; 464046976; 435675063; 1046884802; 315873640; 257258087; 901583221; 441084068; 628953026; 141625165; 434057225; 735702915; 552244639; 702835364; 503892858; 943064511; 150443678; 238429419; 824342718; 526106989; 138709701; 595442234; 832072260; 690692262; 53461417; 115715064; 926638235; 634687563; 147117554; 92048374; 353803484; 936171159; 370033267; 107450514; 532151825; 284704388; 784941938; 971458399; 565965143; 543521395; 714782661; 161114236; 984830981; 557853805; 814394402; 193936328; 189150144; 251720920; 1063599967; 665394940; 100092057; 519335719; 44065495; 52342891; 120528325; 97304965; 641194073; 727968298; 266677629; 803569211; 201638615; 1064854057; 911465410; 21475072; 451727195; 1064737373; 972997566; 212473126; 170423038; 376697688; 990914774; 168804020; 845679654; 546284026; 926720679; 1004285391; 132635720; 307316459; 237598379; 529078106; 514891386; 188099787; 524132476; 608147170; 1043755994; 846168626; 173804448; 879259625; 510390507; 27317688; 86914325; 160718752; 420027245; 813872790; 25945088; 291565329; 134585096; 628509848; 665809504; 315649940; 622677100; 122535342; 161577011; 267177696; 446714775; 550214405; 304611268; 899870734; 907297901; 80715365; 1007582628; 562720014; 897105095; 388378738; 115367594; 715289420; 161080851; 431145444; 73147588; 313152338; 12321663; 291566374; 911233276; 264663396; 755240628; 639837883; 608239874; 39580187; 130691078; 738209068; 23505621; 616585083; 654520134; 488438680; 162836057; 129341198; 885285519; 39387166; 895681829; 151143526; 795357599; 425666148; 188406222; 199347026; 163315865; 290329278; 910338836; 391111426; 295374071; 558713644; 54735594; 332455341; 800569124; 1030270241; 962646545; 627430377; 498953068; 784588416; 403160642; 1045223909; 582537775; 185297867; 864174198; 272293550; 1015823692; 899330991; 327778046; 856117229; 870590067; 493066117; 125779166; 395746683; 884324971; 326657181; 351495183; 381428506; 812305416; 197447953; 383988548; 618668756; 894644175; 1048253181; 616868313; 35585682; 552961852; 253162659; 935749024; 772562897; 880357136; 51217128; 82743164; 946942924; 253965905; 633879104; 498128918; 657407935; 474985560; 557722586; 138758289; 638928686; 734495649; 885113922; 845979183; 220137765; 684741852; 686002157; 920446349; 988246024; 433156668; 310660534; 370054783; 182698727; 172858363; 949419316; 670173932; 257688337; 553836602; 1055951133; 391335546; 580081580; 594399588; 347797166; 5683395; 273347696; 723749102; 559585395; 90856128; 357566895; 404031413; 676555408; 829090188; 41698109; 474220767; 524154816; 256883576; 407730275; 308785717; 910621231; 24580909; 288445679; 921127891; 967184396; 186660437; 968466442; 64596397; 1065695970; 458975650; 27053991; 1060910718; 409117727; 185259597; 284164087; 946530919; 961432142; 952492112; 80290109; 487758920; 507183559; 234481767; 211545295; 87928824; 697558276; 154699632; 835634376; 966499864; 108117039; 360743501; 991121587; 286816832; 1056130145; 996681092; 74348163; 321807114; 351791261; 592046255; 443623012; 241041627; 654984; 491810323; 69303386; 317553965; 462331708; 8464999; 193936644; 299306518; 198962616; 619338440; 875266435; 458681034; 318035540; 982162383; 532812080; 756658552; 324086301; 460411677; 104027349; 727291908; 176902098; 941835996; 386140067; 964450643; 520114191; 782272298; 597079615; 352318499; 738318616; 298109027; 1030542331; 324792630; 1014018462; 755965165; 272678817; 116251764; 790721226; 648539574; 331343378; 951885322; 972239592; 649478543; 383545407; 619231370; 532947430; 676606502; 193774502; 778552998; 646938769; 318850840; 251821656; 269383092; 353477007; 470400677; 673223143; 212202637; 252553901; 682604202; 1037309131; 12953647; 712412966; 138352370; 148085399; 1052248457; 182611465; 756552000; 867512593; 141714815; 392973380; 740338722; 746135475; 1059288444; 804766309; 806451942; 484969980; 58360906; 1028816025; 834738655; 68689770; 79422870; 781620163; 275642287; 605304535; 202889288; 794083874; 867723510; 120443591; 665443451; 847366883; 248847404; 448445087; 464092446; 251730234; 298429892; 248405618; 1068663846; 521143883; 153878218; 107455414; 809583202; 68373980; 987794023; 972370138; 62184343; 49090596; 151247854; 724770642; 900856138; 660694965; 778114088; 833483658; 803037546; 681981300; 140597732; 44465940; 64196644; 147000660; 409369168; 227213624; 698005735; 870456837; 908615424; 296053464; 936685433; 890135320; 589471138; 788102474; 371347345; 891181266; 712391167; 689709774; 259208535; 414263580; 842089497; 880678105; 832534069; 883409372; 149974443; 580272079; 395601144; 80459302; 413752431; 429055551; 881538288; 493888450; 483102038; 1065380585; 873754981; 427391532; 146969197; 182717501; 576880205; 792366187; 558858458; 359767726; 420322565; 1003870138; 282981456; 914957259; 832556739; 302690349; 920481061; 744985887; 661295669; 365648540; 439875984; 686100015; 195577544; 689511683; 558150513; 958085190; 786106581; 466994268; 7787064; 367169428; 552708987; 100658661; 790207155; 300511305; 906824353; 27548344; 984974411; 701159195; 255509634; 1052193434; 510348137; 761469192; 1020679575; 418652643; 409959989; 410372098; 1014456654; 735629073; 2260495; 727680137; 319805566; 762493884; 156482273; 979877037; 252568211; 2180822; 885514186; 201605240; 720743025; 478717516; 541385080; 1063260813; 196849913; 680371745; 205962797; 875135531; 502278848; 74405453; 890503747; 622995780; 410177859; 306889867; 466338956; 20026883; 685304997; 579948758; 195417101; 78572613; 310062671; 822322032; 914470583; 261570730; 745291129; 983292306; 1057217098; 492415475; 465614911; 859533426; 1001350312; 562116242; 749923396; 736651186; 968691971; 894300136; 108285153; 125697786; 625947242; 853155759; 754794696; 1024060799; 74811265; 615527432; 607773356; 933866861; 620283740; 528861240; 857364481; 107581748; 634807352; 613452267; 718469987; 923495682; 911883318; 299858833; 276038788; 815857673; 883689028; 607928063; 648901766; 1062219430; 656025582; 989172494; 313261120; 433480247; 623019518; 981731742; 527242787; 362807918; 534707776; 459984175; 559547335; 623124997; 779974778; 939989334; 114511761; 162950851; 47293641; 829374263; 580866091; 668653540; 985047367; 895866866; 544514272; 666754796; 133501360; 686776359; 1044205773; 782495885; 472440745; 761793609; 6647559; 649142755; 563663126; 348770104; 852836288; 269629158; 577525797; 391096999; 38927186; 899497984; 953950498; 463520856; 1060328205; 639239726; 379428769; 513199256; 725998546; 695623534; 664168871; 168243963; 460158506; 969263732; 495770564; 312781360; 352989210; 970211212; 147471504; 740843646; 429196783; 6834342; 1031277527; 738827347; 598442499; 845371836; 983718930; 925328711; 223450707; 642312559; 125393921; 444962144; 1023849911; 964185259; 654329611; 55309883; 108736408; 361434344; 744387559; 710530221; 1008170459; 231509680; 496242436; 920780186; 584723707; 367211747; 795439677; 695131140; 257617337; 917645287; 287016241; 339002021; 710078658; 239883103; 908409014; 419989596; 489433827; 533179310; 891718373; 1052235948; 894574158; 888076625; 850804592; 911549230; 783405272; 1014598107; 872254937; 518791072; 420188566; 19479616; 775378902; 486471524; 146143212; 712927561; 300907060; 1066668574; 405348569; 963992293; 784650436; 889191599; 596532505; 214661888; 540601118; 634208167; 421378700; 685330389; 879208674; 844091990; 180545823; 997467056; 1041973026; 775915665; 776022834; 783239714; 19180828; 476130927; 218954166; 444031155; 513032801; 865357057; 1052760881; 95042009; 451423824; 781972332; 708477006; 551922238; 557365670; 308964006; 726905817; 964856164; 60001194; 8506212; 138095054; 706433255; 77488457; 486312941; 893135647; 733472141; 152367888; 837652799; 766821880; 276660556; 796341254; 498860360; 378936255; 777782642; 682396776; 784624160; 906419817; 52294311; 912567755; 576560153; 797204981; 182366405; 509540684; 759202193; 63007003; 465038427; 263296390; 536907801; 282291047; 306596362; 655439239; 439051958; 177161484; 202747193; 121515388; 339067072; 632838823; 424008518; 246867823; 999100459; 44516560; 312869347; 1027459569; 44269261; 720859149; 595639166; 868188489; 36898737; 341370295; 1065793247; 1042580461; 385945466; 560343151; 873906037; 213631321; 360670905; 676743345; 753376590; 723722625; 850550275; 616043406; 791002082; 358487984; 17379673; 156272651; 880670061; 1020278583; 786699080; 552957902; 205888395; 522009774; 455083682; 394160843; 223186324; 33320432; 1022792918; 780765078; 235042803; 796080666; 946741374; 439044352; 558017160; 902357686; 709524979; 145640691; 659199324; 176577140; 1037477264; 213312116; 270388115; 486421781; 468195520; 389405330; 46160546; 525698507; 578311104; 335302406; 116736899; 90847445; 646206862; 35761920; 547027303; 1046696211; 1008500870; 588475993; 430091643; 899710415; 27194098; 95995013; 734263153; 413285991; 565638035; 1062134923; 437584685; 923656708; 688907167; 24469391; 968452501; 424784451; 386709028; 944093936; 261577750; 690929775; 627898560; 328241837; 466034044; 309256020; 34978661; 885186931; 638746204; 583887725; 870396115; 134459623; 851460403; 588970675; 697626798; 596539975; 1016750179; 1048819467; 10013004; 62893839; 355877875; 833989629; 123344834; 696207696; 153142812; 642618168; 948795189; 617694829; 745474592; 910564568; 780661924; 534486972; 60304667; 290113124; 458283019; 962815386; 1040463286; 499519511; 11045265; 77669682; 523010889; 270391103; 721797667; 368213511; 677341499; 649571988; 56521551; 263690198; 432116109; 57715846; 402424712; 767122079; 1301334; 288423072; 335640096; 488138992; 989364405; 536694523; 718882729; 190237266; 393613441; 743348994; 699944320; 854981045; 470393135; 980088527; 354952740; 189167889; 704353636; 815180864; 328143164; 120119376; 106586685; 432043324; 806660356; 661851941; 904376959; 242832861; 693323127; 945451841; 420990755; 310125484; 1060641986; 460579845; 171638823; 436904492; 850115327; 375447712; 542301690; 301302408; 627079387; 132369646; 507213758; 999527168; 974931732; 655549450; 436704719; 131093789; 360414156; 280236822; 1062327997; 1017683658; 10445442; 932883807; 939025148; 233205307; 1019164991; 767794974; 957705741; 718413862; 943536796; 672626151; 685008677; 903348256; 114084196; 409774500; 101369578; 232238532; 239623255; 373671970; 901215395; 283348006; 56158198; 964491841; 99820912; 837990692; 200197842; 194523044; 551899205; 80171509; 1071617409; 125995172; 809135311; 7533378; 243309173; 776817563; 11013259; 29250392; 900990335; 291941514; 768850341; 60450808; 120884575; 1043273812; 466543590; 540170499; 914561335; 937420021; 672362317; 383799570; 662009305; 966939243; 515099854; 703452342; 135274730; 371025027; 528401039; 754286364; 680926072; 60556647; 721444898; 577035566; 190214476; 152713427; 51990388; 884290944; 1003985356; 939616698; 724204632; 18476048; 978422496; 891387527; 939906991; 280687069; 639804031; 29972358; 460050630; 960848537; 251263131; 321565171; 891562551; 801380412; 42102832; 770842448; 317283429; 673622032; 749065946; 755616360; 973527516; 864519742; 227651057; 89142456; 730761529; 427455975; 155253716; 925375521; 687301877; 70826660; 741623857; 780105140; 19872926; 282887711; 681988921; 149493090; 492673795; 432774798; 577584048; 307594296; 15625936; 397179016; 451133999; 15718182; 674503426; 909416390; 384385789; 882194111; 887395672; 1034418237; 260265157; 242854004; 371060984; 832778710; 1058910408; 321921616; 186524748; 970023821; 328486844; 329329958; 464141626; 806286072; 798872471; 181155405; 1029843252; 464273460; 210829890; 182727589; 42388330; 856149408; 986420401; 376905201; 777777118; 338815569; 224993021; 160763271; 742475398; 880682739; 800764776; 722856461; 236453479; 791403214; 649513217; 523513775; 475256827; 647739613; 457691839; 702447930; 262772790; 324659726; 717001597; 427031807; 58798964; 598609746; 243165841; 224402313; 714417081; 284562606; 855814081; 98379162; 35460079; 198862315; 563727984; 808581673; 1053253532; 450460052; 933259933; 482988495; 920137032; 82980446; 367476360; 922446566; 995564826; 765730657; 262823697; 582215185; 716987597; 858997259; 706131125; 3828831; 513537260; 349425893; 1017035102; 1048055123; 686712952; 612793098; 636474961; 467306357; 898959912; 916677534; 224915490; 376425425; 169556083; 806868895; 856030421; 672029132; 1023662482; 893976983; 1013198392; 379342285; 312796313; 638188264; 492365414; 972954370; 850383061; 181495412; 111508082; 618487003; 702812444; 866523176; 201754122; 422210120; 1043257765; 833036336; 435735822; 720445159; 840206820; 824385455; 745101928; 139463401; 565845597; 251337854; 662612405; 639651632; 933542014; 477222976; 672258136; 424274820; 901252355; 12811910; 1000041530; 804920394; 480694120; 590169418; 1025804951; 512546285; 405360944; 665953207; 528157029; 1063471163; 919246597; 426268149; 775198306; 197770368; 61206208; 405895237; 144444931; 560258596; 115038133; 488611320; 907801768; 548975962; 91266023; 25064931; 369841311; 22187397; 291492389; 140201810; 487908052; 419189706; 902548722; 445239675; 240936084; 809131842; 518427998; 272821940; 969823309; 204539193; 143856263; 720213211; 241272862; 1004574166; 192096818; 554088748; 18135191; 32214386; 704486290; 301988140; 287387705; 63605990; 293950864; 11190948; 308066376; 415907279; 164712874; 618164379; 696729410; 805842240; 976984323; 869055221; 9257298; 701141617; 969525766; 560826928; 342606162; 927839843; 718432531; 822138067; 859223328; 400424614; 1049955707; 564148166; 937124953; 1040837396; 859448834; 715170138; 668868765; 746336354; 126307923; 585880263; 989466989; 136886850; 419153882; 307322178; 847249381; 209434903; 811959961; 165934782; 223050683; 507344569; 920719919; 266249216; 320743614; 95518805; 778018336; 919303464; 647455628; 29219858; 94158183; 922151380; 466043908; 245448601; 92633317; 634913974; 621207204; 649520429; 125774629; 225401742; 557231408; 290827426; 684769538; 652388584; 552280534; 150566143; 547891356; 595412220; 993659821; 510088975; 689210367; 759155956; 71523644; 553874149; 282596; 36284383; 263639754; 854694124; 316907045; 1062956512; 917046303; 163027008; 692179740; 703488364; 959427494; 655115590; 545030231; 618736400; 384351252; 436148725; 919956154; 35995420; 176784408; 456410552; 1029176247; 858433514; 402321993; 928192432; 308317520; 81905570; 471350860; 2079888; 420210769; 782370724; 898691630; 924886144; 1037276074; 406460496; 520938442; 402725748; 397479379; 511771996; 645326914; 583085160; 818482928; 779204232; 590167184; 210477526; 629446521; 580579598; 41745226; 582342038; 368501524; 970740272; 282570378; 8606464; 854258488; 679683652; 369588106; 565105192; 503417393; 960493355; 208918950; 940610753; 154909697; 138351054; 121442833; 405889285; 41014537; 969792788; 454463238; 227945732; 1002971383; 682705658; 966565733; 1020393866; 674035897; 346389516; 542736647; 151620919; 197692253; 673950291; 136057525; 7254584; 178210863; 67487268; 652279605; 172884822; 501175100; 370577916; 467857535; 28780987; 944619607; 720542559; 843095632; 1063044833; 447803362; 46617592; 117100695; 146379230; 515149100; 560810250; 165934117; 13126944; 757500561; 218274944; 452260203; 1046340056; 980292895; 762506273; 297958492; 509925742; 231768242; 283656114; 362460005; 371736797; 945212346; 631080004; 202655094; 587993577; 454255019; 381901053; 722146969; 69626422; 43164735; 759771926; 842678836; 362166150; 150709729; 670244302; 842862504; 630961503; 678083376; 925827219; 685296582; 267394432; 919617249; 353284172; 764570277; 90755039; 69779297; 184225219; 987529975; 673539028; 123743068; 87977333; 885138727; 613020653; 511546827; 1056386372; 178371964; 511691714; 2272118; 698120855; 424650487; 752571264; 1070623063; 716025435; 881189394; 450008518; 462799467; 942796296; 614239665; 550988408; 684399932; 631105216; 795388833; 161622603; 293316252; 858111581; 684400385; 152093019; 836971643; 467544655; 369525322; 522178717; 683481867; 801324743; 440655148; 206645084; 117024363; 897214817; 871408087; 569712151; 179288026; 886672030; 470491229; 9599896; 148174138; 332931670; 629708183; 397537617; 1063051506; 649455361; 167176571; 324277796; 505254394; 672956594; 415383327; 558844362; 1032513404; 911312863; 80302044; 844967464; 69195460; 416412820; 841634348; 262110582; 326841380; 801238140; 46827921; 995351307; 947020528; 588770322; 452757864; 965332589; 585466997; 694364381; 53041615; 730628327; 437529308; 315005004; 664091209; 225592230; 650055626; 591485441; 248291512; 438082291; 912129747; 151993988; 627461659; 154166152; 130613846; 245353045; 49797292; 8496159; 803500946; 1050748061; 168968102; 733273136; 932849702; 212566105; 490024982; 283095672; 206775809; 164117276; 475124097; 489638848; 52021492; 31938260; 408581494; 465895949; 146349263; 117141013; 589395238; 62030163; 807947753; 77982873; 778738824; 809998876; 37749715; 625003203; 96090665; 569604904; 701837230; 821586148; 498494531; 141114266; 985547269; 439604389; 60397452; 978129995; 446288052; 288511250; 252000465; 1061528426; 456881220; 949467294; 130064597; 305988098; 520321308; 1001901255; 303768759; 225639408; 971946651; 971980700; 412470858; 628046294; 732717845; 866977101; 119495782; 756936626; 303437883; 592009815; 492410810; 833213419; 822990255; 755740199; 49551082; 11859826; 493502508; 43547974; 434976475; 401618559; 343062923; 277119993; 343176345; 100120977; 735309046; 522525632; 950883143; 1040980961; 265322017; 690337242; 829499140; 714834184; 997773337; 608697164; 433590672; 205552083; 469164576; 786703263; 337019952; 658415471; 608546210; 270213533; 325731573; 374151359; 1049499493; 657077013; 862825211; 126359620; 715347009; 527273193; 798372036; 497134148; 705187775; 985398014; 856034507; 781356461; 207367037; 741097809; 902788780; 376953976; 45950595; 602379907; 223251404; 653227684; 936219540; 857337870; 12597407; 739813134; 1021426276; 197256987; 995993922; 712200556; 755756017; 187825033; 739671766; 615658470; 289165193; 526127946; 593227066; 972745100; 974241397; 288542552; 638893302; 740035549; 402892300; 317649077; 117145639; 245054449; 586398186; 732375666; 513190247; 1008671892; 884300588; 1061590066; 929824190; 749242033; 842682052; 875823876; 433735956; 563393186; 360284410; 754636747; 621323053; 759213981; 266521624; 461869510; 813628006; 164539261; 874995274; 660385874; 732866963; 1054207791; 202312733; 758297435; 443400016; 305897150; 788914154; 558938522; 227847848; 632033380; 229508451; 753178190; 600877618; 665127078; 7980318; 747995997; 212174674; 768811045; 204627097; 498391650; 350774509; 879800420; 995540798; 760645994; 962238592; 1059128098; 948145075; 370669915; 411703654; 729529025; 1046082175; 614063265; 134020650; 474347825; 388565454; 43734018; 62391295; 895230893; 261209080; 846968997; 680608381; 814611027; 480077958; 804149022; 984076220; 802658092; 795976831; 136384518; 240792003; 216406131; 580889385; 641947444; 712307236; 927727756; 623137557; 89018715; 1004522524; 1063845399; 620187835; 678022438; 549750762; 841216097; 866290089; 737059641; 1031559953; 741897626; 526574190; 624193023; 323397458; 306611195; 995047388; 32495665; 8583593; 292112252; 240258330; 1008980883; 642407729; 118529072; 582224443; 548182847; 721092210; 927790279; 287334660; 669294398; 734756809; 206519084; 878416275; 216278967; 137835768; 767863189; 798429593; 945411090; 493709766; 86326996; 847445206; 460683638; 535242186; 242643439; 921774628; 553128430; 182631679; 592498494; 902508779; 468060277; 576248612; 927030935; 80759366; 576192377; 254919370; 710003167; 167324201; 671265117; 31489875; 1070592592; 319014907; 927451692; 886083612; 475051919; 776493443; 338120355; 482542946; 226162285; 495527034; 1030294175; 7650922; 257546521; 770967946; 511045677; 940365789; 633887943; 713240803; 258713366; 303559206; 855812787; 887628574; 114039875; 1066606424; 189083724; 326147306; 437257550; 383522881; 644973857; 83215761; 862823124; 830359914; 301128996; 362066064; 806342520; 41916092; 777238059; 932321494; 150909273; 232734979; 310222901; 589468479; 1062618259; 834698547; 492701028; 276687039; 1059896688; 595746512; 355004335; 339986018; 501670104; 451067370; 219675107; 974313917; 640516847; 973831957; 438409388; 362603325; 60409433; 116327720; 220122959; 148948725; 848344667; 684138442; 262248872; 433733569; 420355781; 943561578; 920661756; 733235352; 1023697822; 651012891; 662604813; 1028202409; 197504728; 858728554; 946729319; 517435739; 176590257; 1039427442; 579776927; 986459161; 92735107; 917185217; 1038635699; 844932443; 898847485; 1033418572; 491649655; 1032656136; 281129993; 397376670; 805377638; 827972148; 512346966; 405246707; 888934064; 223374868; 494079643; 969643506; 789659939; 22050643; 381459985; 565591125; 899798661; 809577641; 994814086; 69325878; 232256026; 129903831; 211002679; 849656128; 1055192638; 609089095; 420135607; 919697617; 809231486; 932652881; 352611657; 204499611; 236384838; 970540771; 572670233; 1023182289; 241366484; 88332432; 879827108; 595240819; 77765678; 824202872; 128069385; 591416664; 506006734; 71453200; 898142891; 367606440; 716278568; 270225603; 606912842; 665914849; 319556918; 4548647; 183856479; 336708643; 701143215; 96056395; 738225047; 163539403; 93885361; 139505088; 747050037; 712052783; 946141998; 854442796; 882709986; 503868657; 397214374; 146327181; 51730367; 492146253; 515048944; 864708124; 289977585; 27180130; 283018815; 1033052383; 164216002; 935274469; 489780385; 286412620; 1063754194; 546160338; 734624256; 535629640; 81535914; 1071333077; 11329119; 778466983; 404334814; 866018933; 833278370; 980615662; 981035413; 538821009; 97601729; 286351357; 489030852; 867577670; 526378019; 1034555418; 930908782; 828854225; 664152596; 1019674007; 1013955088; 637601941; 392182270; 236228076; 897241489; 1007477578; 434859070; 444051868; 793878262; 797184559; 950946886; 49644721; 720054528; 845295074; 54307176; 744589468; 6995999; 502200201; 27849618; 963522586; 873831250; 512189440; 990887321; 907636770; 739674080; 105681453; 914618144; 454006812; 657088427; 12422685; 109139911; 314945272; 1009583079; 991528269; 362679566; 548509334; 17257888; 391036555; 302053460; 637455670; 430338375; 193985546; 104396380; 276312049; 304099148; 757866091; 51740207; 898625071; 1015286011; 188943346; 436008245; 613286695; 670778252; 864531331; 417858365; 546973838; 573011069; 35446450; 474178490; 536836278; 666784885; 973490974; 38284286; 716606591; 826305702; 662430788; 359813699; 403429677; 339554847; 105599773; 598663031; 41401235; 109226140; 445209087; 1041139478; 449323347; 686441552; 19995216; 191095504; 615869383; 331845888; 139916467; 498524496; 232821205; 170254696; 925616674; 264952315; 1025818838; 39990806; 786584796; 994852471; 712908508; 924439572; 900072968; 763656813; 527443433; 23427089; 813164705; 285989038; 81728308; 386148016; 645589913; 167620687; 771398316; 616189828; 658431129; 141725954; 942025756; 831461209; 433116102; 149470042; 238031487; 344931287; 762048157; 219428087; 61277133; 806998193; 937614043; 167590194; 35121995; 970499777; 539871282; 44247650; 784636927; 1065865996; 582788863; 705649864; 644147904; 490469939; 384416679; 1027596081; 883448558; 54777572; 237571528; 421373267; 551704244; 170348169; 989027721; 290622400; 538755608; 797040037; 304038908; 337677442; 815680827; 381740057; 175414311; 365576467; 855961142; 652638932; 150115793; 179879800; 193306347; 281646650; 896258785; 28268238; 618580457; 663117408; 489324763; 807638974; 137375795; 985286406; 505328103; 146573436; 410272196; 243384277; 295729692; 96944352; 299190444; 639493625; 369377787; 481861333; 710036715; 43617981; 631367063; 691512584; 663815510; 635226395; 1072004852; 156722407; 460037980; 41943163; 543132495; 43567363; 175973969; 910492977; 235586254; 700214569; 226765844; 768584575; 244440546; 469288776; 32353799; 117421340; 780673754; 704309828; 469171564; 1060444716; 530560713; 986124365; 1003956184; 902970415; 343101569; 665801966; 628335167; 404483881; 582106005; 892736013; 351528481; 168039921; 603743466; 196896916; 768140308; 906884260; 709649586; 261603980; 346678555; 195829983; 160095828; 744244382; 580249219; 908321753; 553742678; 555305731; 212124867; 1001610717; 587451151; 30421762; 785396766; 445888602; 312953305; 797417884; 667887093; 662039161; 254019751; 812125680; 704730160; 1057337134; 509473537; 354104489; 923527563; 276536290; 199876215; 1061784325; 83816970; 679016838; 760536542; 1022389946; 82854555; 668524220; 1068925595; 929489725; 500259349; 583656313; 177682971; 632594456; 718134681; 889090935; 574036468; 562725769; 448074641; 1072443264; 670132562; 392828908; 947546466; 55978884; 1005871931; 189323044; 5561688; 1813236; 673708245; 385640804; 393984948; 171875996; 666227595; 510122654; 550694051; 911833961; 805517284; 153793296; 511556566; 285292796; 255205424; 323817225; 743346505; 771868883; 1056156054; 1038444341; 946505969; 226268272; 608047171; 187866439; 54692158; 844096849; 716681977; 313804595; 128369625; 837721243; 850283198; 146043890; 61118746; 151422999; 776919969; 660599224; 995562949; 404766945; 385187140; 822653918; 460735998; 499263672; 628761172; 506341233; 982061178; 582598936; 993840527; 639114246; 786202845; 549344461; 392977528; 952486211; 839990696; 83706341; 187908213; 229697852; 383262119; 820609368; 387322363; 75958319; 899995328; 892433492; 389900330; 359206882; 164161088; 615763981; 277694657; 406420187; 588853141; 14077785; 1039635543; 516335611; 738910334; 561863247; 415086240; 549987309; 596743740; 569633583; 532170612; 196683383; 170241953; 808185708; 625342628; 443007090; 60958508; 166353116; 247079538; 370740089; 1056634627; 750159771; 363666201; 974642393; 337300598; 331700988; 580541407; 979206684; 1033669387; 456572748; 1009547699; 992066579; 605873818; 935101616; 683661119; 670941853; 589310912; 52142460; 64617329; 375820077; 509022039; 846359753; 861283707; 206631800; 566076790; 818968004; 150472793; 53104556; 995869726; 774247451; 711681705; 382443643; 822805529; 879998827; 162333383; 985950945; 324189864; 221823045; 151455624; 33556540; 19001811; 544593062; 91693061; 855833436; 1046426435; 839002677; 606206246; 905799753; 932848937; 1071365635; 467795897; 200778465; 263133672; 96093592; 282784929; 487217412; 930304215; 575739977; 105382417; 206173705; 537625561; 838586425; 225747959; 604140615; 279094204; 916604308; 768845096; 286964355; 929175060; 205181805; 608513456; 196306930; 756215594; 290079753; 800782461; 559098153; 121811280; 895134261; 349523806; 115754931; 893559060; 457018181; 385487860; 757559299; 20815308; 877304120; 603944155; 518299527; 1002179167; 211941263; 633738391; 76582910; 250276476; 843708753; 994192971; 409716714; 142712122; 382549039; 406513316; 665809536; 218968837; 1045741130; 108812865; 853989419; 1017865943; 675396317; 93822834; 1052592861; 459851417; 384693927; 1026847457; 336666752; 46080704; 698240350; 239991091; 252986051; 825470164; 189463931; 881957410; 574795497; 104675026; 329378659; 580710174; 57631829; 227038965; 988308797; 712854459; 669399416; 991904655; 949455606; 140255265; 977760666; 918155740; 900711588; 1035928688; 954031958; 78448144; 1019200872; 736969395; 997728895; 83585503; 528346203; 622799672; 755160385; 394572908; 911947149; 17372552; 1007750485; 742011443; 90884991; 425269507; 1022304297; 203574871; 792318932; 1010419429; 62013281; 312384949; 463743673; 50717184; 869161103; 806301803; 366204547; 612141779; 302780712; 551261714; 604526632; 718761739; 531417161; 124516123; 29667049; 324323802; 108226894; 352517086; 420760895; 152851206; 693796758; 658713526; 906897632; 667686265; 326548537; 638885681; 478380694; 453776464; 15576505; 1071031364; 32542211; 908274286; 575116519; 89148462; 803154398; 379478496; 387442384; 660750884; 175569740; 651099049; 614552283; 537706737; 306815314; 773309025; 909718043; 671911489; 637877380; 147493723; 128188982; 703318218; 598276309; 783341565; 382860081; 800046038; 335546569; 374390057; 27095824; 628132767; 335546245; 433544939; 187721356; 810213631; 454223778; 474482950; 674669406; 327267845; 308342755; 443507485; 603625503; 944808864; 507060825; 147021632; 477370991; 956253245; 979656202; 801297856; 749160887; 592514582; 662996542; 775378536; 123525802; 826563325; 658871286; 350111128; 339042236; 18723824; 725168990; 25385803; 65841072; 466788203; 637530961; 1045836114; 264082673; 34068367; 585582417; 375501982; 1002368949; 525860057; 1072213482; 715892083; 113964569; 962915999; 167258136; 583426697; 741973362; 351440492; 804125884; 998281782; 821945092; 507052241; 909986356; 402878278; 1047284508; 762755845; 953850588; 670219436; 62085795; 727924234; 164998958; 958751242; 811380328; 853819401; 619051158; 722616565; 355447; 1068098351; 731983449; 166902329; 159650783; 266000657; 447194605; 197861507; 302492225; 324135364; 1053105628; 804997562; 610932107; 211707692; 1053223428; 626961811; 46378158; 856527417; 223302616; 142232452; 53281760; 777415019; 451837336; 524850405; 326918311; 836075498; 252395485; 790651440; 500357492; 935408196; 1063600464; 222512900; 954386182; 747490697; 15286374; 369562988; 513434040; 955677051; 836722684; 645427119; 223978114; 907342183; 430307848; 467262821; 129000907; 701866235; 205802233; 675562551; 150326618; 1035146982; 192671990; 417581670; 588172384; 756264438; 753282159; 142886866; 64091726; 1021853479; 883222903; 568392315; 1057423338; 278592233; 1017893378; 380551306; 701197634; 506695969; 394200617; 382454014; 885072252; 837846002; 452739124; 734030799; 587972395; 333314557; 241016279; 287102762; 330531242; 708684883; 581502848; 1009677956; 587112916; 260960093; 1058710082; 209382541; 737912240; 728261046; 279625174; 202836941; 834623748; 785221696; 566897563; 806586553; 253937419; 961654336; 940430660; 914485488; 489490980; 532939358; 282289090; 765531044; 202605772; 450659040; 767862970; 1054346777; 772618331; 458007442; 275318721; 456544204; 495507153; 543566935; 1046699356; 24916641; 59385613; 1053161489; 362736923; 969747894; 1026965151; 313714635; 578359460; 872239727; 734433060; 655006963; 566570541; 151108893; 847411681; 204191426; 1041720152; 223652970; 79596605; 292170193; 727117667; 874039698; 237218527; 968137697; 672097116; 619433172; 611015050; 764237928; 253347070; 518106889; 404538362; 1039728297; 68527067; 580307198; 75755525; 536222510; 208693774; 451571786; 1030280565; 388541807; 143913995; 1003224578; 331137737; 820181178; 45103806; 34466884; 343064997; 632744179; 60087281; 134692715; 559580420; 937014714; 665106754; 845510386; 377600765; 19536194; 998513401; 747735472; 714209605; 781611229; 553938644; 494489759; 524233433; 1017851072; 267712818; 102402235; 727492237; 232520304; 882239536; 623882424; 140766650; 820833517; 207149563; 679264354; 635470859; 720291077; 1002145851; 697375538; 74780765; 107494037; 569154644; 486593243; 898372119; 162342937; 1061045318; 1051051466; 495166254; 684394266; 785272911; 903412071; 660384736; 748982798; 809829372; 106030487; 443916579; 788927216; 931826066; 20031186; 613297689; 249976758; 781063563; 591020698; 79937610; 403669659; 984384493; 831610011; 22762797; 883555690; 901405894; 360032910; 408052273; 412997960; 90263640; 779807042; 1009916319; 628865878; 937881694; 600696945; 854994658; 251957419; 512311345; 1013040400; 1029800913; 1044478438; 394961; 556666767; 570714793; 612153452; 337408667; 1039190022; 336149936; 529374203; 258290834; 1047701104; 118052685; 1052884330; 478604395; 946043297; 157836352; 490495677; 168445080; 346059063; 320755236; 597258752; 229084039; 196752980; 302324724; 558079320; 143866036; 164192153; 81625058; 976266392; 473202172; 645009388; 438175076; 340055726; 223705211; 545026577; 986706651; 61999237; 850626201; 512899779; 958181888; 358355451; 726412605; 1025635288; 348645198; 731722387; 962790089; 634133346; 26527818; 961313866; 313518651; 681368797; 430992710; 821406292; 864163295; 510004472; 526749949; 51903083; 811388804; 451210029; 527429702; 1039434689; 759043324; 473483140; 1008904145; 197479603; 393172879; 742070556; 135457587; 268114616; 511507385; 153020811; 864264622; 152652898; 960361128; 797521140; 546824296; 94881923; 777681412; 10350512; 883838830; 158881794; 872409016; 605463136; 651769077; 876428057; 509499698; 459049946; 1041814966; 219149962; 888699911; 670224073; 722971653; 1055497436; 461946967; 886496534; 186969516; 330663113; 751688796; 544874342; 887642885; 633466152; 617742228; 492941402; 472819892; 686638625; 619668562; 724021818; 769522128; 199069166; 1024883135; 1040646825; 151854210; 1004034705; 1065479040; 865924167; 652914014; 218254057; 20547001; 880406054; 734057219; 91543345; 711060029; 284014170; 129619238; 213950062; 854382936; 863690094; 947954174; 350874928; 581036024; 617425459; 270416315; 675272231; 809788362; 200870892; 574083506; 958581977; 466074742; 140058191; 326847855; 139361679; 960967074; 536887948; 848445632; 133182502; 657568031; 940670497; 970368985; 506253415; 200364595; 109862008; 388876289; 11122416; 552753241; 12463015; 885402525; 868047431; 196919128; 749690424; 820104894; 592237935; 364013969; 1039717705; 193082202; 388889285; 383983357; 1016352719; 175482125; 919378200; 1021489118; 821045298; 956458763; 940838078; 481135502; 539533531; 814823176; 639358484; 670859269; 158476268; 213544196; 1063640856; 6131084; 455686018; 515674195; 129347233; 375491650; 575686993; 313709032; 799492420; 78137406; 352428746; 856889342; 396998757; 873304705; 205625606; 313366886; 689434514; 552311509; 231889866; 614172925; 237940541; 157388582; 25071958; 31846426; 488683217; 591440998; 1053436832; 898977483; 387825339; 303074128; 36267309; 259216807; 274262928; 960789282; 88754242; 54043186; 930662694; 671597258; 229991749; 943170106; 557225473; 923790196; 681060377; 158965692; 1056943291; 50588078; 631272007; 946965195; 92901711; 832524082; 531892338; 346534149; 524823264; 341503942; 347189382; 680240733; 1021780946; 894055643; 88404248; 847970979; 972257902; 257631518; 142484654; 508516446; 991795527; 340499101; 494713837; 92055313; 92521896; 852808456; 257147709; 855696832; 36308851; 92532578; 640354776; 665552163; 501695420; 43576225; 650066992; 165384825; 947947676; 679695629; 922447144; 798189585; 629934926; 294756495; 693371845; 187694687; 74002480; 115841925; 374617822; 104711387; 971573742; 888491616; 1063004322; 905135838; 170419944; 646463864; 988520444; 151306773; 272013972; 1053431869; 330049244; 540754447; 71755111; 956699947; 711306013; 521811708; 850943607; 848628494; 861683012; 587433222; 295572748; 116178135; 951779868; 1039733341; 247736743; 985560537; 862986274; 152999313; 16470677; 1031042145; 401089979; 930647564; 902496668; 722957025; 256096772; 592255598; 98010115; 558034027; 205852138; 709552410; 386077056; 774638829; 515255887; 302451280; 176424044; 839947907; 178163059; 127642186; 814598717; 717237539; 548570110; 373859051; 282306531; 621723388; 960325; 564482968; 317498938; 447111162; 410769342; 536609704; 724167791; 517289456; 842873273; 183601128; 75045920; 86248711; 183778298; 173423291; 689125116; 924677302; 543535485; 969274424; 1061177206; 1057158670; 69509257; 562222749; 11671877; 407238609; 871218656; 1036969851; 853915819; 332283267; 369783342; 649558356; 259856158; 897212561; 682162499; 197469493; 928516336; 442830396; 910885335; 40254523; 797582670; 69239046; 205778868; 793757522; 1052036599; 261933972; 1072932821; 17739042; 694085961; 8970861; 350442339; 342192214; 647522253; 468040837; 96689106; 604563168; 1034478047; 118007093; 639544945; 900521301; 415804148; 736936031; 789431262; 620741661; 186418605; 840881904; 890077897; 1021866013; 622474598; 233280413; 940257092; 1052488930; 873668498; 119159067; 13804096; 700335321; 286948409; 176458522; 244704712; 1034310682; 114221186; 710885660; 618732269; 37838122; 579890118; 702743761; 685673981; 610619230; 827057595; 60518501; 347006838; 261970219; 763962726; 897165226; 434991807; 494449285; 166167643; 653609608; 414542083; 703488507; 981737604; 765042130; 713949674; 521859651; 640253798; 1013313998; 656111860; 796797746; 824735537] 6198) + +let test10 _ = assert_equal 134213631 (minOrAfterOperations [609704279; 595006509; 694526451; 195253622; 305835938; 1036944712; 529743239; 148261483; 37926556; 189548113; 786321818; 186404375; 68995114; 1028760941; 691141113; 433794549; 730087530; 236229234; 572175262; 494646060; 250249743; 39451383; 686190620; 15550711; 692327302; 537520210; 183433620; 125435745; 594547956; 274715537; 713211787; 1053454645; 879860974; 399676623; 712070787; 585202945; 132695995; 25192777; 739637506; 1044355769; 602401008; 71373205; 968302245; 614557603; 919493158; 610886738; 43794130; 379514216; 337474518; 41327241; 789990692; 708476300; 699926978; 695872655; 1058689059; 480346913; 98437261; 860704288; 615813168; 934344573; 451617692; 252806860; 596626469; 797238401; 342411922; 300335420; 706473854; 270150215; 408963417; 562270047; 518040134; 180151279; 92505391; 3256518; 474922352; 366093421; 89818000; 914956145; 29156577; 921531353; 204153275; 418305506; 373147387; 87853687; 1062010562; 313919427; 806220155; 293024497; 434534430; 999191551; 855425927; 702144364; 1044575315; 88566142; 993200630; 310984239; 155954264; 743675807; 1010664026; 395938977; 679269733; 511271895; 699602601; 378285701; 37612338; 933780110; 432697289; 604986144; 267466321; 96134523; 55652341; 904654386; 639680031; 551667934; 354712995; 370558336; 420704479; 61995874; 954229405; 900528374; 179268000; 192048624; 215093297; 817864955; 533708561; 568046637; 1000009773; 21841712; 504908338; 695395618; 81754986; 489119686; 949451000; 647414886; 758040486; 565991283; 604143649; 118558922; 571336347; 899983700; 240318790; 796657013; 592358098; 578411487; 967233806; 647153392; 582284818; 1064060797; 175777204; 835694268; 298864058; 564786270; 359200947; 7080584; 243118931; 652143652; 103913148; 77373304; 53496129; 193490733; 883024233; 758108620; 814824028; 582289516; 576680536; 602003883; 768273801; 674575201; 260119843; 178619470; 916632718; 1005749698; 250674764; 432938087; 543936174; 579211335; 175342294; 923963955; 800413555; 310283323; 862613318; 287805001; 495965212; 411328128; 767198119; 498660898; 927717351; 944622760; 797921654; 503453587; 319147861; 677171535; 851714473; 854496360; 173229514; 326803309; 693708987; 219049195; 351270960; 820250343; 769793104; 760901439; 57068373; 675249811; 461153832; 720395246; 817685603; 976659928; 879651540; 115549099; 40523837; 1066160758; 864526356; 272424125; 851850258; 350911022; 110101428; 533592243; 91408308; 687221547; 781760439; 377536152; 1015586020; 631405995; 928680740; 659194117; 637780743; 726649277; 820037108; 717140003; 431013974; 206902108; 371114061; 394743039; 95528726; 396271608; 101066814; 796898125; 455712113; 248687123; 281983051; 203727722; 33731029; 35099481; 371031512; 1055412125; 47879194; 341253964; 660998489; 383259273; 549382903; 138639831; 975452562; 614632503; 257450026; 651315949; 221128274; 305431667; 498302685; 239036289; 735460365; 469753990; 500583116; 250558190; 465707037; 715615620; 117089646; 352471378; 108130239; 22022914; 873036425; 720850551; 383197824; 522946081; 851132863; 77939714; 1031962547; 278835226; 951202895; 639500867; 933678399; 774701489; 976864740; 554422514; 1052177829; 880320543; 82783898; 409926882; 776924207; 113180076; 905043012; 623525971; 564380665; 860447571; 438243521; 850583644; 69588494; 766930746; 98304578; 795183156; 303632583; 245286598; 312269862; 9235172; 520849016; 473326467; 1010833328; 875740434; 318366788; 146404059; 397355027; 871487099; 270029646; 431812268; 614637622; 352177443; 530070721; 303818211; 183366376; 706190613; 960951387; 535112233; 46296846; 899101115; 828509875; 597792504; 614903400; 950279917; 711095700; 204398128; 637125426; 777265222; 407295213; 197423755; 980179212; 499011858; 496293613; 883238816; 749269538; 2917278; 509298597; 1025447165; 27477520; 612247597; 696242725; 814845324; 909746081; 143751975; 28001237; 126031359; 462354625; 600053714; 547594229; 426316041; 990670922; 22773250; 993096776; 887322399; 630367545; 739217193; 651732896; 86301210; 230975029; 681734803; 321877219; 707429574; 47500076; 16587719; 474004529; 534936252; 844515229; 733836505; 1063203672; 587001792; 137074217; 917679592; 779317837; 907566905; 4659552; 846625834; 725855034; 208953341; 970196124; 340027426; 162306969; 113232516; 821087400; 625447631; 181357091; 573641174; 533409700; 654136180; 706191910; 731955868; 1044089143; 132917775; 839847537; 248777814; 33066745; 691486802; 303719318; 277406724; 273498635; 979420998; 914677377; 848079335; 136969555; 31307788; 375964663; 844357755; 479514730; 942154436; 592796676; 776513198; 127416582; 501360274; 886181437; 240762453; 194836710; 804941646; 302080524; 500377239; 957688889; 120273012; 1061749081; 626938214; 628303771; 671222566; 139786440; 648722251; 257489670; 966648596; 211033499; 970974897; 853912602; 921886973; 493798929; 856486833; 570931680; 114454363; 727503871; 1014082788; 392416008; 682012344; 563188994; 195258424; 226903457; 73511079; 417117583; 622071672; 779862175; 207444333; 968876811; 925416748; 596938044; 269072606; 181708729; 302971068; 984197142; 750842957; 87959128; 767777406; 184875439; 996560684; 37879975; 644350252; 937645399; 481768291; 617059699; 212656468; 442759197; 42349436; 717233849; 515252545; 809514814; 341672676; 337263828; 607252601; 538415066; 663724346; 763822123; 295320266; 256534398; 202906223; 871997932; 953589497; 107674939; 679843300; 403629662; 397300574; 137919884; 173613172; 411341818; 333466401; 462525409; 605097537; 994247366; 398169413; 979584546; 948565776; 666976907; 290417050; 451631768; 788974273; 160058124; 481720509; 469903678; 161614510; 687927218; 644768763; 813549721; 761122243; 1042032605; 155474976; 243745894; 698944483; 147052004; 574984984; 715366132; 524206845; 538644294; 632765057; 1061134671; 99403841; 159089258; 527151017; 11865723; 1056807529; 153703573; 43094859; 661219612; 699344652; 1013985497; 490754275; 511437060; 952526867; 942158303; 328097754; 495631648; 649261686; 701821455; 447952193; 552222409; 171029292; 960676691; 498086739; 565790271; 583486699; 225101255; 1036196237; 625938344; 1004622369; 59084558; 474400599; 299246066; 282036391; 429875832; 613731348; 920449502; 1060385942; 597898470; 980274043; 779564631; 299471238; 795310767; 184823198; 713717655; 432315202; 71753193; 941857625; 221007982; 116732605; 282377465; 991343461; 330521344; 381629639; 320210597; 305936512; 341786302; 989756417; 645646059; 667460144; 298533940; 1018998125; 942016395; 833619107; 298726453; 741546729; 1021886773; 418578400; 21006423; 428344961; 806490143; 1007278455; 222340433; 260995223; 741561031; 700635706; 264700808; 899283302; 806745971; 500303076; 118605191; 106662804; 997213417; 597436718; 280645610; 1062672374; 42026742; 383588266; 787045399; 972625002; 894390933; 74446685; 699469486; 836250768; 68550516; 596594242; 600652011; 297607930; 766387833; 65811301; 63452002; 87778010; 973427103; 737788503; 346851526; 894293612; 1037409773; 332684833; 169371868; 574604591; 968427348; 542282201; 120762339; 421247738; 1051544633; 423534302; 121598073; 129439105; 502801839; 321622753; 519956235; 278333477; 953518744; 117957515; 668598407; 968816885; 755768769; 512935967; 457815804; 702335780; 312910369; 973845761; 693742310; 774785541; 621104480; 486494628; 422532303; 169990106; 492060218; 539363305; 53096931; 556213112; 310186914; 36394812; 480138820; 469396248; 1039728336; 320197562; 404931943; 651678918; 820348824; 854546681; 1019735632; 1060734559; 304925802; 537530956; 520772282; 32287560; 531280847; 364227504; 114612942; 453120353; 764294934; 993280840; 1021683214; 613533391; 203243384; 324146618; 1016572988; 465477743; 961381824; 1022128027; 1016240558; 294611704; 467654304; 561334044; 526796648; 563825796; 200708807; 47137094; 746322841; 766134204; 718483784; 823397030; 654886353; 152724221; 132084494; 917180919; 84103980; 616042866; 944121353; 418167553; 46653479; 831490692; 825193083; 310654717; 90086014; 776800496; 704426128; 101164198; 132446492; 57037560; 962603820; 756624053; 1001010554; 102456023; 671023841; 994918694; 1021214147; 495869478; 577046730; 604864583; 977971010; 298399332; 808061663; 197415232; 1060972323; 308899437; 1025196771; 341084901; 1004688133; 57047968; 83571346; 740455457; 662363; 67317177; 225190468; 771681082; 39172725; 494309042; 45346829; 211062847; 283551672; 273379432; 364693731; 599646414; 929112721; 362265207; 145190679; 653550924; 322636672; 866186469; 464611680; 111278263; 12874906; 875703149; 594246253; 799025944; 448856545; 606181065; 780156649; 850080052; 194182250; 249640361; 581055496; 47482660; 247140795; 764855268; 424000297; 723735008; 663929374; 380562281; 541906051; 899506232; 898047999; 302378161; 437031058; 842084417; 277668688; 153905703; 53458830; 849649091; 488079332; 252498497; 971927927; 456766402; 1017833267; 403319843; 113189003; 262080351; 381910955; 332226017; 284934533; 754887106; 777892797; 104943995; 214883811; 609274600; 411184441; 450460962; 245493795; 308440701; 922954596; 503692159; 266766832; 92829605; 40616951; 1000185013; 480214569; 58061670; 402506729; 430357624; 51399355; 26885345; 923360098; 58122691; 1013219787; 651670090; 484611230; 787351357; 612351550; 622068361; 775893577; 588805089; 390915591; 580662890; 486758944; 440186182; 77860022; 482648458; 204785098; 548724006; 790776424; 449743736; 950257288; 327583435; 430992504; 953974234; 33204302; 656055681; 922772684; 437976558; 900053153; 552695607; 862047043; 903057970; 1043246239; 25161141; 305333190; 397016412; 843591396; 247218241; 932025854; 899722404; 158394179; 3775391; 8141871; 267657143; 89822600; 194148758; 738151879; 1052307211; 941011949; 1034815765; 206125387; 577929643; 464746221; 553579773; 621550584; 211862561; 653008403; 486070689; 393774620; 1037194978; 549261633; 585132240; 577457210; 569821878; 822230410; 1163094; 78006241; 442062602; 501312363; 243449118; 734909516; 507757537; 71439869; 1013932484; 793412920; 542166022; 937565604; 533777503; 1048229983; 1002211151; 197744910; 879206599; 828884647; 62462163; 508208866; 633387640; 703478186; 740814149; 11297299; 529044878; 893387742; 103915545; 171259720; 72903003; 935503592; 312261571; 343827440; 817553229; 973945295; 568844346; 510312690; 1021051994; 495680086; 410476414; 513245438; 238075931; 625182215; 870140124; 960309625; 996028498; 1073520439; 680957926; 232061476; 509865567; 321370441; 1023293010; 870834959; 439418858; 79080322; 824895388; 638908766; 257939621; 761928478; 799068777; 736130848; 124285593; 454836225; 327807040; 66786920; 561828411; 60934853; 875994281; 1000081194; 586684890; 1016710810; 608251351; 348165891; 47640390; 917044459; 539330379; 194406493; 924644824; 1021376447; 549995542; 1022870187; 1058945630; 754980783; 689926881; 328163674; 122217301; 1026583467; 303131229; 40379430; 63597581; 142913631; 242959793; 890749509; 717496179; 400066456; 56673368; 1069951556; 504260756; 676472870; 376756175; 473677379; 169479649; 643493617; 833387161; 838276033; 90326208; 362704997; 387780712; 779007944; 539225473; 302388197; 1057835695; 174510677; 83799513; 291928619; 717254605; 551646761; 43692063; 484727629; 805725271; 1062242663; 977984517; 705928114; 532809627; 159155577; 361504287; 948273220; 892520477; 1037331815; 716134405; 592541595; 387688505; 791807683; 640192272; 772524995; 1051891225; 114836356; 513562106; 989032570; 666404015; 822344917; 795405933; 432627578; 305058613; 924702447; 51803202; 1013575612; 62937068; 871610183; 1050159215; 1063465822; 956448191; 224420297; 379929384; 1070168341; 540011006; 854795215; 834115802; 214422771; 900962645; 222907098; 954882239; 1023434482; 241536887; 257859878; 754081068; 1051290475; 249068704; 681619643; 172344774; 333094393; 960702700; 325102575; 828525048; 175373971; 1003684689; 55786259; 478145857; 649196497; 417060888; 860639682; 202056506; 824155559; 275970736; 31081560; 749697987; 112545263; 322064224; 419730794; 315214941; 461236620; 91883330; 869863932; 23600205; 593330259; 717983799; 24018456; 610576536; 425248219; 947905862; 609122319; 586010749; 884751429; 473146840; 521092396; 747440564; 988580566; 664187328; 116765417; 295114859; 428470573; 178087265; 940772839; 370687606; 700945222; 719868237; 803226196; 1064547159; 56095265; 918873943; 897409719; 477247343; 477839386; 1053141274; 133460501; 103822693; 574900230; 974988996; 694821048; 320909688; 361084865; 423213334; 876788229; 252808509; 159976225; 4772561; 963113043; 526570862; 70750805; 314277072; 924121114; 747299371; 44379034; 978549348; 61581774; 380600629; 246058268; 921371312; 675989266; 25437875; 425483290; 179883586; 35631652; 1034135770; 436108650; 128290735; 374207418; 750674173; 496880550; 879409115; 243031482; 593764994; 988679277; 622778470; 1053723388; 977697698; 841305486; 173161102; 1047750867; 14395130; 840534768; 478328974; 15980462; 25913645; 858669052; 812545033; 628657316; 314499229; 369784673; 561735960; 450287551; 72357579; 229890360; 167508481; 352871251; 869658500; 690456571; 829140298; 1032894654; 184083628; 535536038; 925391560; 358966355; 256755360; 922120292; 68933673; 795829139; 330115694; 958121786; 562015377; 295125922; 355367549; 867547047; 219924079; 655418260; 441858072; 163869399; 1005076464; 94872437; 719933610; 211802980; 266417602; 547362368; 395004677; 700633839; 719302657; 393558666; 587533722; 39847697; 335433039; 276279842; 99256260; 511070684; 1005120150; 315872589; 628439612; 249726811; 773732466; 713768352; 14123932; 239157244; 864587659; 660381333; 548211027; 343748851; 217493489; 306301050; 817018953; 443990923; 974975103; 1049635937; 24164355; 1015891223; 102266981; 366003865; 776701576; 325794556; 518372668; 1064713134; 884841258; 716510232; 782199238; 977151893; 728092981; 142366349; 636826105; 114604290; 204065367; 900633209; 784895328; 394042460; 229854002; 589917380; 1004991069; 911575971; 428828948; 386613167; 844141315; 1061983293; 529607726; 743172238; 989970258; 617249287; 182732497; 416032848; 288120879; 975057275; 852975672; 693510648; 229527842; 203255243; 776018413; 1046843697; 1050050441; 821993033; 775056585; 152858455; 26945521; 733157543; 686286899; 71160602; 720154246; 114631352; 735835074; 578988502; 325052114; 465291033; 588015136; 50934423; 685103781; 456994978; 912486012; 1021346786; 630416042; 261450838; 869545102; 1057524612; 190135428; 814580153; 766308816; 843067955; 942116448; 531866609; 249271125; 397256704; 640095110; 31239191; 284217643; 259206430; 1067872733; 785670750; 39701130; 102867654; 93050585; 270242809; 339781769; 376094919; 592258939; 655716818; 897767359; 200702151; 630878572; 148344953; 855682572; 110308080; 476077115; 699434202; 466698579; 219837622; 55742298; 379073464; 358569278; 557202306; 482185604; 522230874; 299369682; 249294860; 7444849; 604701119; 697227976; 126932477; 755136269; 493582324; 789165014; 621516963; 183078647; 919600553; 324568189; 892082805; 999168470; 583528972; 250143524; 45001165; 28082369; 936769562; 988447043; 795978663; 771952990; 197155234; 909796007; 890726488; 731157475; 287829433; 394898522; 881523413; 684987900; 637395444; 733198091; 365697402; 611315072; 207695004; 810012188; 922303975; 484278675; 459101972; 675252873; 35655023; 61424725; 326021309; 478542686; 1035486486; 1043429095; 160597374; 472082597; 865050626; 516164221; 872989999; 406191513; 52013921; 559592199; 434635776; 591845708; 597607026; 528556628; 1010361671; 141576417; 888135773; 257358603; 49743975; 1060145672; 129094547; 633931673; 934599272; 955713081; 654042428; 1039771927; 492421637; 496266892; 1011788335; 401420503; 394524359; 399260522; 747480137; 639369756; 464923476; 601016376; 70829168; 173940218; 890179055; 146363570; 315560581; 642676196; 758404281; 488519702; 471063605; 447693885; 970177122; 620840800; 1026544023; 627032991; 837389492; 927012467; 1057151750; 970366803; 810076662; 611121255; 5468497; 854428928; 405785556; 1062517366; 1007720207; 1049220016; 270438335; 551082142; 179232323; 766722870; 817053780; 259350914; 451337901; 451699408; 104178877; 648827907; 562486244; 907802028; 830665348; 279835250; 748600973; 748116447; 119245178; 898102146; 138480813; 274604095; 746926319; 27618566; 26508546; 550646089; 567994738; 741264136; 590317719; 201596746; 660652848; 817675793; 632877830; 1058088196; 601231714; 219966952; 538844567; 213122173; 1045683536; 510604367; 670653568; 781349593; 1030544477; 148330365; 504560954; 974485294; 634246070; 908211949; 889813027; 982027380; 613400469; 139379146; 383391513; 811190344; 800424487; 10190648; 13253561; 720218102; 318279970; 43803504; 643947200; 512775367; 502039366; 1063908555; 133183787; 562702862; 699722912; 1043681334; 126298621; 1019176116; 191800341; 875393202; 863780509; 486633053; 527973745; 978463978; 206107005; 403656843; 392420496; 197947096; 600190730; 895533528; 286664223; 650991413; 296512420; 812494248; 81694099; 153644748; 317430986; 829874423; 733510836; 1067016277; 856369424; 727547581; 583475827; 299061658; 383850771; 872744583; 100902592; 37424085; 271031252; 741615333; 1010744422; 431862287; 149263068; 760095051; 522672767; 581586940; 767620957; 895829292; 152840345; 120139245; 569521331; 868940978; 1072121005; 123665427; 420671115; 834041177; 136586841; 406182030; 464363806; 726560755; 383000921; 64440812; 64868746; 767207036; 546503150; 862828174; 724365146; 1018109255; 990660424; 28366900; 166727802; 608662566; 392595727; 690569117; 767977408; 1029356614; 591027237; 747134014; 227616219; 121028874; 775832723; 999748875; 711169713; 367736069; 881396435; 60763145; 518075456; 164492405; 348822422; 6307996; 619625324; 950022985; 748695634; 70589185; 461397490; 402989617; 177747731; 504679008; 669639647; 963598390; 741360166; 705619852; 616320036; 817672244; 218645501; 635552798; 171448960; 30667634; 15736408; 118107120; 338995145; 784371086; 474669342; 777265590; 468391423; 41112668; 554231313; 456504614; 207580907; 331512852; 930984305; 1053117659; 73059984; 551648539; 681569114; 444874805; 1015132458; 808193335; 843938800; 369480542; 1071289979; 400833272; 82455981; 865794908; 672988362; 271409834; 818431145; 502175089; 48967359; 535286540; 1013074668; 521017018; 591299764; 796720008; 458660342; 574896729; 537835302; 777590845; 892530523; 759691944; 532699784; 463619194; 557341393; 407059917; 149679595; 426756720; 168700769; 596431742; 912518038; 546396289; 709224849; 831828569; 562720266; 156380295; 390433768; 273199858; 186163273; 571358785; 154543480; 977277846; 54144477; 941790000; 581829701; 707141276; 819193152; 741806159; 540023018; 542183682; 768518870; 440294514; 565464621; 363972201; 613652024; 780840354; 380293463; 127929295; 167666980; 785955356; 398787310; 13551496; 642758105; 19161729; 1024909769; 634099701; 46090964; 972439964; 417445451; 680555746; 920058761; 207128679; 800469100; 48785521; 941807562; 131393081; 82839516; 609302282; 173242050; 304036940; 482266825; 725146487; 956375757; 1063382998; 643610018; 568932750; 689728601; 694296410; 601404831; 310600828; 833676053; 3214603; 137952889; 445319349; 750187963; 952603623; 1061327769; 990080477; 719791672; 968689791; 91345128; 524263155; 735125461; 322696696; 321311639; 827191327; 424120643; 262597618; 430817080; 24018498; 409321563; 777235479; 677812481; 897670762; 359220987; 105112244; 911721851; 769516024; 168085374; 269825633; 138782276; 125838319; 844952918; 24432646; 160296509; 511406583; 223900895; 1065652839; 440617252; 532024035; 169419931; 977040124; 687974383; 520750775; 1003583901; 983968842; 755859477; 646054987; 566137785; 643079520; 226635710; 809473486; 429483064; 710979084; 697659998; 569938329; 241772961; 401166668; 121580731; 442584708; 423756747; 425884945; 707983058; 108944486; 366829007; 11942616; 141464992; 920272255; 971454763; 460162772; 664706982; 2764353; 956025216; 773610998; 48966750; 102819472; 926026254; 870012958; 178389596; 936046818; 1022943701; 820170932; 711378051; 49358216; 224204626; 374011420; 469087541; 687282682; 77114873; 544171292; 690208470; 411989467; 522080103; 152236013; 804480709; 596514217; 120698976; 829400904; 213300619; 835750705; 232056224; 850762839; 930974361; 548691694; 914535669; 1042501337; 37517854; 117262086; 861087217; 254317946; 838597937; 189229957; 880730118; 932894625; 560279334; 871811315; 184490198; 877464711; 355058954; 564559278; 197686897; 7472056; 905092854; 817586471; 253157887; 975642888; 252829399; 126444622; 705192761; 284709983; 414689928; 416574070; 550806094; 460017243; 882181546; 196509765; 110543905; 588823611; 40984342; 619497946; 139302504; 904195881; 113893903; 873269972; 311422265; 790747775; 25234144; 234597904; 418068106; 398112479; 622290693; 641440831; 72015248; 618384118; 1070724979; 410296291; 675113053; 224122631; 48794030; 651676964; 1042864468; 430035199; 134184708; 1031529066; 748836820; 131077052; 1008884562; 678355025; 74910532; 590826016; 344951620; 354873814; 874494806; 368865049; 327946365; 46157372; 992830944; 56007222; 376766343; 315954271; 127279324; 338743357; 1050695172; 986624180; 863164818; 894683266; 530635815; 463344582; 873827278; 894539468; 692196244; 497704349; 528575476; 1048970751; 729845056; 213836264; 85706416; 909947111; 233260860; 284474318; 339601148; 961985151; 876762601; 1054000826; 35546822; 985235060; 676412717; 299248457; 118828709; 354499884; 786960285; 831981264; 507406486; 1058710427; 376141037; 1034951779; 457041668; 56210882; 100919382; 1048654641; 351045848; 609250584; 870685652; 1038163106; 380255974; 828712920; 975307926; 760456253; 450187473; 532521440; 467772398; 891962456; 372031961; 201075223; 36621055; 41661768; 781745162; 742089386; 359707634; 257648262; 294263212; 757860091; 270453900; 886751151; 496663725; 216548492; 161579914; 149028940; 629237500; 867698652; 249984365; 359134055; 733021060; 516456001; 870666232; 1055009720; 21310248; 1037435698; 543977625; 693070016; 838220868; 516996605; 314055194; 283963095; 112557992; 941393173; 76055271; 812080502; 796327089; 291776422; 554438259; 194779051; 462307152; 772034983; 582143011; 119894099; 974742349; 1005288146; 147307050; 2364750; 705896861; 408973569; 468691865; 694118939; 260288855; 312253057; 528830010; 125587586; 222944718; 863236145; 664351225; 165786955; 399561331; 651759920; 355104731; 1030479875; 383747589; 144052111; 617660567; 588720082; 917770116; 28928033; 449441815; 526170851; 1030024985; 913988514; 295515915; 9789742; 446732702; 266661337; 889233798; 77201384; 929736369; 11585634; 422453641; 443400413; 159819607; 188428519; 636739617; 623291067; 17765849; 507942220; 997316218; 731275109; 710481230; 734264030; 645281247; 902790333; 447426517; 351000420; 419103834; 350742166; 609501304; 337748164; 198067394; 690699759; 1020313507; 594471772; 593945236; 846293763; 408983643; 417993990; 188209933; 548842745; 287348217; 82882728; 286434235; 107843884; 737684328; 640829237; 656116727; 8441915; 325803699; 401653925; 1063921115; 946991593; 778739971; 345310406; 274263814; 639447382; 254485793; 405132356; 86227101; 993466859; 663588601; 745614557; 102538246; 212248842; 882489301; 516759589; 550981814; 793127413; 792925990; 211435838; 395189926; 584022103; 386259896; 566575937; 697196112; 516428344; 725723286; 263824062; 840336508; 673081679; 258071376; 364828086; 743251028; 143801099; 270541211; 374591621; 50965222; 711584024; 8118116; 472590181; 700164062; 1047900816; 708761827; 21874304; 1027320777; 591317080; 388039953; 446336320; 644033778; 352784211; 365115893; 625558520; 914645464; 876077655; 426682262; 387456022; 24360501; 559279714; 891908920; 978252634; 1066825676; 557026651; 1049956308; 27480856; 816543183; 692707130; 410999920; 821669747; 607979368; 666628455; 503227574; 693877022; 490668999; 822991550; 230063486; 853381976; 434281255; 167881014; 881719362; 211425751; 987640147; 36913050; 697260318; 679674927; 1057398623; 1033529162; 577089672; 287434976; 271923426; 482890672; 660616843; 633996236; 891702807; 16425980; 354081155; 307738275; 1003769823; 1043803635; 805634153; 812815717; 365887323; 851936570; 796140720; 157382403; 640008097; 101690436; 529688672; 1057742813; 127277035; 407742881; 845682458; 609471499; 365674815; 854255664; 271458439; 994732965; 496723997; 962194116; 233963179; 838726722; 875039529; 827464261; 724106326; 817107523; 580462342; 649722253; 6313534; 768723250; 459228987; 432033142; 606782530; 18608470; 121195597; 555338929; 703829423; 481059571; 881956608; 363462092; 853908858; 492956929; 195260476; 355355069; 901578934; 77657114; 1053523956; 827109375; 1017454749; 682846752; 793812901; 29960257; 1054127853; 754741297; 485068933; 823599506; 183674160; 940119206; 297235745; 705154111; 873708293; 995424281; 143012444; 816336506; 196551022; 486201149; 763000374; 555774807; 431653931; 456749856; 490258867; 766986815; 918047822; 606890974; 524728649; 257593601; 564904653; 751401354; 1056091933; 379735573; 1042809868; 566587237; 310057545; 552010394; 231605824; 410200326; 456721109; 654681796; 39225448; 599481722; 1070959542; 759908419; 938906834; 755864753; 786584389; 76600524; 942567455; 1020054941; 564391795; 693255287; 981186811; 1051213577; 756535196; 47824335; 859863621; 1009142588; 838947348; 102183839; 98504306; 815508424; 510175983; 581678184; 658888340; 48185488; 574391369; 286921461; 471784078; 604122807; 643545497; 339931847; 564011539; 170782789; 589380311; 991609469; 808433141; 887362471; 599857592; 494116981; 649030035; 146865358; 974237571; 724268540; 820734714; 696435179; 871168229; 617251645; 986896379; 521228720; 117544105; 394994487; 314622512; 258961732; 753734818; 826502573; 248271158; 933459119; 825110740; 198470920; 654473576; 894415523; 237776413; 237076592; 361109425; 198136751; 243871121; 301164959; 849368616; 475617015; 71399263; 824336537; 139079264; 603803952; 689313630; 184737654; 695805154; 162704686; 495942796; 13769514; 893075175; 32970255; 971405281; 309802233; 528351887; 1020869801; 753857258; 673478159; 1072443945; 991583490; 903482385; 990920431; 251485330; 1036547943; 700858067; 659809158; 886037481; 340568502; 675550108; 589007478; 148367085; 288229789; 638837570; 731825729; 1016281812; 48910853; 498047893; 748644885; 13809389; 617200707; 701062733; 584315222; 625046486; 267707782; 555675400; 985638912; 764695751; 998894393; 40867562; 160232399; 688396771; 160206657; 20437644; 331737159; 257984915; 1064205141; 195046633; 40702464; 1026377542; 641554043; 289084812; 474318453; 203329655; 584122652; 183924948; 546486329; 99722010; 359701067; 459588813; 268058691; 130346730; 342884541; 720104014; 347090984; 839475112; 435168738; 213108811; 354184773; 107825934; 592503695; 643952455; 499658046; 561251182; 225848022; 654173215; 24633422; 269723097; 823401482; 830478957; 783829175; 996927397; 731198711; 1040061578; 630370196; 492119301; 1059764510; 162118199; 559240866; 750312544; 76017379; 342302165; 623596470; 169728328; 323345596; 313275808; 98659430; 200961884; 394033088; 373454299; 1048707044; 715506677; 450272181; 578841394; 56733586; 243955109; 827334800; 395335905; 391911682; 1877218; 623769489; 557029870; 974651704; 891728589; 628724872; 928160488; 917436470; 721465331; 322837980; 782070581; 1055970693; 590967293; 747247417; 120785064; 800783164; 216643982; 991924095; 454570176; 631958311; 244104510; 906150120; 316689518; 699544165; 103457998; 471924709; 872222497; 939579681; 946553203; 424481442; 286413686; 874262167; 839233195; 472262914; 322631140; 484764844; 473873133; 523083751; 788405666; 549404535; 447382705; 423140554; 476004931; 409432598; 16259630; 924536483; 620252453; 1065407328; 94323484; 714640538; 805605251; 579922720; 507606152; 750832107; 748976672; 205926388; 336980034; 87582936; 384892615; 997408846; 918229061; 278724977; 903080902; 31544836; 465856098; 399044480; 810023096; 492171686; 772849658; 58766546; 1051601846; 558641940; 1056253387; 232875235; 404797407; 915978353; 256708303; 472652012; 17792508; 173821084; 471267364; 322776321; 648285159; 79023075; 211579352; 927842145; 731579707; 704418132; 952756823; 523471459; 448122066; 775972639; 488154641; 118967976; 324655721; 227733037; 499122115; 447905499; 263538123; 419466350; 368289388; 10080523; 738328378; 956142450; 1013188383; 674565410; 59112018; 1024623814; 102286067; 144590248; 112475268; 997134783; 585262190; 927910448; 594158836; 481954740; 204774499; 158518713; 860220900; 369860306; 173453080; 1059033692; 97468802; 222554427; 978703293; 493315192; 266396566; 387447484; 185201409; 797132086; 872876266; 579554378; 310534157; 1037389815; 724599018; 25098969; 475854862; 1071557221; 318815168; 537712134; 226653835; 1046954989; 582784855; 190550828; 322904888; 704421192; 187840620; 449737039; 107988801; 51606961; 240013952; 251704880; 581883209; 90482820; 874053597; 394505360; 157079686; 665311442; 16151016; 861800773; 636050996; 762233196; 63470822; 109999208; 271399519; 737610248; 1055111542; 577976684; 189205929; 751012599; 665154089; 998575552; 681057175; 837217127; 409181323; 329085256; 422504486; 308818765; 69135883; 884847491; 126570189; 338252799; 461166785; 554500886; 688050683; 453499392; 913952022; 689552881; 668762844; 771595507; 595743403; 83696932; 77305584; 709375450; 117813860; 276599759; 773404014; 392919452; 764894109; 533197592; 25871579; 338719906; 149227021; 209243882; 312238041; 826642729; 734006808; 1018818715; 759471418; 620023044; 433181189; 386972353; 397277152; 413000443; 823274153; 479904543; 215746435; 381595042; 50076546; 722879443; 1020278939; 274446044; 884103442; 880246923; 1003843801; 517452901; 284850245; 660775829; 921344675; 980047305; 59218188; 466619085; 414721410; 338612400; 769449229; 910124235; 284511163; 871365953; 758136398; 941843048; 27966383; 194208065; 952570444; 55572373; 845286096; 824715614; 1046041941; 602783852; 703353755; 755777305; 643351233; 914847928; 195625328; 1033612143; 281369130; 148091062; 116544020; 843153314; 699804350; 695470161; 550041641; 805290472; 75412383; 763382629; 580545110; 277117876; 28195891; 23677698; 957842113; 100973273; 33034477; 37248059; 977217534; 212004418; 782135814; 1038654259; 212603896; 62191401; 272561009; 33605586; 629830286; 18685870; 508852689; 295163787; 856893541; 121846826; 926168722; 505532716; 132785201; 209556386; 148815370; 308300805; 179739026; 395626382; 320324983; 532105068; 601567164; 644752738; 593561339; 356219814; 765217978; 631006234; 81852060; 858088464; 745808806; 980636609; 889376966; 817408628; 30885403; 381128955; 429405814; 689878080; 312666670; 710939396; 252604035; 859905017; 420306120; 941939751; 200018014; 54077557; 259945101; 954274715; 465418495; 639451735; 72133319; 586457871; 450411974; 227294993; 1017803679; 990130405; 899367079; 163178212; 632259955; 672764416; 789601928; 178640253; 14318265; 559656860; 505221604; 281863114; 860846924; 656537071; 300630858; 780664433; 332458127; 842779133; 532817884; 492458951; 895259472; 360628074; 425888915; 955423511; 312880135; 131194181; 759298827; 824104758; 74528971; 1015002441; 837275844; 434404398; 840663032; 308252339; 598565825; 915763105; 745935814; 943673705; 992689565; 787342389; 567223331; 56372948; 328927061; 1058113072; 643235016; 118645659; 699146029; 850481499; 190216949; 491866186; 93629713; 399279352; 600189505; 420588878; 967464426; 69322430; 988117843; 811778739; 27642638; 161965308; 297167512; 582182063; 1061743704; 1028959565; 545553262; 831627180; 349241512; 33293768; 1056364696; 834998561; 981548783; 692300651; 82873979; 512804265; 1009828452; 146330161; 559426298; 39325936; 91926935; 806108039; 802898804; 737840875; 739062009; 804081400; 188320358; 627674969; 1024218736; 745501127; 316069416; 156183346; 933598780; 355246970; 770450476; 460933620; 665784844; 316480556; 469628660; 892415810; 334318698; 124801223; 35526874; 825637787; 687244190; 475080992; 462129184; 58133945; 187366891; 923117718; 689738658; 986826830; 492004798; 496843802; 917724491; 232751683; 449243235; 558196370; 814260326; 486857356; 656763891; 751076199; 1055850401; 710077767; 15980293; 580724807; 62648709; 612594807; 119361217; 563030878; 684797872; 153900946; 178015662; 654833710; 631213197; 2390993; 892625234; 412471605; 1055961484; 440131452; 713075172; 81666557; 210749283; 333137042; 493448485; 547492211; 294079168; 153218216; 789698112; 711985274; 374946401; 274931734; 424544020; 406938440; 607300598; 681749211; 636975125; 322364672; 533519718; 235328953; 539660921; 598678533; 360858588; 620445519; 933526675; 176163938; 445784178; 873148299; 712267458; 534728554; 953491520; 611429312; 467006475; 441302566; 251249; 906811509; 577618929; 388233466; 178444491; 688606428; 498688130; 1073730705; 66506041; 350177120; 666066935; 929397189; 957419369; 656151500; 243060008; 622118098; 484443926; 240232292; 814862352; 797506642; 255328043; 781692175; 936545528; 403724206; 181374565; 291646499; 73579363; 296096489; 410926766; 730831820; 790070943; 1000984682; 106358354; 318770572; 322762322; 455205245; 394372783; 509874451; 613981141; 729313232; 226574175; 1000991615; 987573941; 23422681; 35357530; 901642706; 224351709; 401388960; 769340184; 407050825; 608308214; 491716911; 542186720; 414288698; 386895012; 447484632; 887956146; 61776462; 687241394; 715001502; 350929501; 356241267; 235543292; 890971834; 886761148; 149537368; 659756986; 355123069; 389539145; 326578905; 1006410457; 128122359; 246738701; 690574525; 52580129; 354173880; 159467808; 500779406; 289827589; 444274263; 749895919; 391931376; 429825708; 726740563; 217254271; 477312260; 141586162; 56199550; 327178750; 504063564; 153829919; 1026821793; 500425313; 186989949; 644660435; 375084059; 274293827; 592859469; 394147808; 494429390; 920536650; 844364537; 167937695; 734294004; 841369964; 421890925; 712994124; 306887253; 10644155; 398407719; 327248388; 1012068031; 777577294; 64811152; 234250659; 183745324; 789309103; 952297132; 10074549; 614735764; 355548630; 714235556; 916822053; 759584330; 460133380; 876241930; 1070398037; 98310064; 929539318; 3720826; 559577837; 33004567; 886166641; 764872889; 279618995; 14177649; 540855471; 500910107; 470585630; 783749207; 635775776; 396275363; 958637997; 220752747; 592361562; 380240019; 110892489; 570236452; 809470261; 168892075; 1025970776; 626615662; 739383138; 867102031; 921297453; 250789032; 461442197; 233818340; 445526248; 782670112; 1060974449; 540734084; 776500995; 114213450; 195454204; 736287366; 350394560; 723437402; 808178388; 588326887; 230036143; 474745937; 296944893; 81187384; 899472112; 662626772; 1005947689; 625342231; 242663971; 338527510; 1062625391; 586516169; 898195356; 1000741804; 394325519; 410355481; 224344190; 48814829; 627572098; 303868399; 103468382; 26361008; 588228950; 20071094; 344943016; 827848961; 288428436; 88824213; 205857912; 554237078; 873596334; 836542713; 1072551318; 295357901; 340827984; 188464600; 151896733; 354837287; 187301013; 1033274254; 772243337; 392818921; 114091899; 51775662; 684257393; 461970455; 379067641; 148890967; 17736084; 262137808; 683721491; 758724845; 523607012; 748111255; 161029781; 457851844; 799953691; 905440618; 619278637; 768273964; 285052823; 719921130; 944024868; 413302044; 586952192; 395536936; 561406019; 862754874; 56381479; 852970075; 303359537; 204927080; 146865221; 10827812; 878909831; 320632686; 809961044; 916215737; 1024613515; 523042815; 978525266; 135016174; 479414335; 1052349275; 378511264; 358899313; 611743785; 848773784; 528416650; 895635292; 1022011728; 445785656; 1050150562; 266757959; 467554240; 720333599; 472832464; 651011659; 289424341; 409009656; 1053550872; 252696931; 281974159; 486005962; 408678079; 443879626; 393221467; 1020370936; 954072734; 13569286; 339053768; 76138945; 657077384; 585653126; 196632476; 160079943; 239427404; 751260446; 497674047; 57291961; 619250004; 85502490; 851398165; 1061633936; 985171431; 978168018; 467582803; 973047854; 274309213; 863091200; 177141251; 72728643; 303335998; 704788409; 1059200496; 185058362; 337211620; 920911517; 356302388; 617984585; 816471417; 788386598; 362463880; 393692692; 959725966; 249040079; 654082899; 498628792; 967833821; 509761427; 576175470; 156547674; 736826035; 486265377; 46870531; 929459687; 56674497; 416791904; 36323866; 960352889; 199110252; 441787094; 1065305561; 522643760; 923517612; 564299798; 421229219; 212633394; 439679032; 670107826; 1417949; 293453146; 649759302; 256683994; 932418994; 617700767; 678665006; 894146318; 719416435; 932932816; 628301248; 188754810; 812720598; 63760463; 180742085; 755306775; 797467454; 516165206; 999327754; 624579719; 557682484; 704335443; 764329518; 743616336; 1020282681; 243258899; 141070226; 315187849; 805556699; 856961049; 900801032; 879116479; 1044310549; 956444604; 19854206; 822780459; 71343437; 56194479; 433687871; 245165372; 883964234; 504553948; 733976682; 803927834; 968869574; 521181815; 1038060310; 990536031; 440790425; 493484007; 652983469; 102901510; 252634671; 357210482; 817214656; 492983017; 537892092; 434537645; 520954118; 57038262; 48748391; 539769758; 508614858; 486329673; 282320349; 461577448; 982708951; 559347275; 674734095; 9668388; 1034718577; 367745986; 547584385; 257558198; 875844449; 462900099; 341496103; 915537892; 336685010; 496643844; 667530523; 835078085; 142607907; 954092431; 208455738; 482105115; 145162112; 433589519; 237241028; 436412366; 568859149; 94463394; 689969212; 220513522; 422454747; 1047615250; 636923714; 333788675; 593372206; 535880452; 940387942; 677609743; 573742490; 141467623; 902030235; 339002964; 710866170; 106963265; 694853020; 753958531; 779540713; 780572532; 1000527141; 991581174; 989763304; 510120984; 930760487; 694034282; 432850863; 239715720; 69596177; 187416116; 584760381; 146296465; 33277338; 484412559; 210748815; 983583317; 569481152; 102304413; 408974920; 512707416; 748272249; 859555100; 709901053; 672902070; 283380530; 786268163; 585953932; 665993586; 719664867; 414421235; 1001217040; 716196873; 485122557; 17288449; 338779606; 194137633; 212843789; 388891825; 81955870; 94634447; 803554726; 612125689; 892928950; 1015231223; 64770420; 985391370; 220191558; 474083095; 1069202262; 111660503; 359458031; 235744846; 205926904; 313301613; 464026093; 329753034; 1017210754; 308760182; 127608285; 810704350; 437718587; 207981685; 2061205; 71881695; 345907476; 18583038; 158115243; 909692499; 177978228; 772222016; 25346039; 476144687; 258678437; 240735754; 555738700; 907075165; 908245650; 431298119; 13608875; 464383438; 659413972; 112593692; 643232166; 972679428; 776039753; 221375611; 755403239; 432657059; 216829728; 132966203; 739956578; 859477799; 259489901; 597889864; 773359552; 135453618; 497154784; 826984343; 143104084; 797723499; 1059981987; 344703403; 874034857; 350108114; 811378094; 72449573; 100420512; 445764790; 870231565; 385916030; 30667257; 509865540; 505762239; 308996556; 730509224; 664273260; 707754893; 969100820; 714115693; 508912668; 746811364; 805495502; 600590132; 611873212; 511732541; 139218689; 705371940; 945968026; 143674666; 28192316; 656142888; 905981539; 1000419613; 43027924; 1049340457; 533831256; 68312669; 992737484; 806719659; 172951708; 953512142; 825294599; 833702383; 152337053; 810173998; 422007659; 1005508444; 184233046; 697054666; 529487010; 86446633; 729574601; 219508441; 166942303; 375827067; 856298195; 655388346; 943297518; 63768269; 653257982; 791152439; 350577512; 511151849; 1032227550; 243121331; 870827949; 493656550; 216959317; 680466212; 44670559; 9285054; 479463882; 690069195; 571391159; 216736960; 240135042; 644130054; 685594607; 1022048213; 274482438; 711510995; 795792418; 566006550; 178698718; 640867793; 511759991; 754871841; 712786980; 1057797734; 928579530; 360702456; 990028086; 600045926; 64576455; 868518786; 215196989; 559922316; 514822773; 393669657; 858754701; 184445721; 131737491; 62226184; 987661876; 629122696; 128318888; 6777372; 932648406; 87625224; 719739657; 109049834; 963277426; 449979046; 388293657; 720439709; 441216580; 146863092; 793645018; 265116049; 58588844; 155860420; 404398098; 920793836; 1040298847; 267951281; 256282910; 770059514; 743883512; 1001256391; 502723886; 80916032; 198224788; 392524361; 119659455; 337849866; 850848413; 722346002; 558896640; 74008927; 777929233; 149629650; 203081773; 687292916; 551649939; 158092480; 72941390; 713729782; 657688737; 105418656; 578474176; 911567659; 51857897; 647213409; 220045563; 144067463; 994655214; 647746380; 749024383; 874836781; 171548435; 542239972; 372121; 456027324; 373236702; 39095467; 246414149; 914742311; 116340574; 77425618; 999731346; 690113179; 1214049; 405623021; 578974751; 358883650; 171754436; 474602430; 338974143; 224040057; 218501929; 1025086499; 791875577; 928215863; 74840201; 888271173; 247837732; 714834130; 183490901; 77521123; 150087612; 722247181; 73073273; 136280453; 348350090; 591859016; 25570040; 245238601; 127259755; 66722438; 748812826; 987734058; 808236177; 814324564; 408935511; 45902954; 1004544766; 306064928; 349611884; 664003872; 38910666; 1037739418; 828303449; 945696584; 358592392; 52677166; 219749757; 1036513927; 200268048; 928305565; 504599394; 351578547; 260436820; 750024864; 820124982; 1013322669; 966354457; 173229870; 681292021; 877190044; 624887023; 330167367; 374028956; 233333529; 1039854602; 886344511; 750824792; 711635539; 589217650; 53470010; 599649532; 1042525671; 770647980; 705824105; 107552979; 63769152; 389276351; 33340866; 969631291; 794671820; 750013496; 38232435; 876519072; 177303779; 285652299; 213414309; 1023894782; 718420372; 946788534; 141401817; 152210233; 347933124; 149291525; 343343066; 274820865; 1035894183; 908306134; 880157070; 680652233; 1444148; 795729696; 727472860; 316481344; 889087145; 107624645; 653087116; 46248052; 602697566; 527796897; 447469673; 661340770; 816870946; 1038357166; 671439741; 927794810; 1051512974; 331791939; 783941961; 421544508; 658196332; 147434257; 288449850; 378370749; 875943550; 424146445; 449917720; 341229017; 347064774; 59711102; 410716098; 981257430; 99324350; 823019900; 302811939; 1054981436; 896949999; 1034775913; 368039459; 388770789; 830909274; 27062150; 54870412; 754525096; 750117102; 173668456; 402399184; 142636028; 617886014; 680317159; 923223162; 634784014; 833526699; 957226118; 231713905; 773043030; 1023087677; 14968713; 287415218; 466049946; 295750784; 317896617; 197586604; 847609279; 154457831; 815325725; 404489427; 394139220; 701779196; 10331351; 1000440279; 1032821287; 948865163; 201841885; 858621235; 506371931; 535003177; 83543426; 898298941; 392927217; 772740815; 776567459; 188185448; 17254113; 1006211019; 436820007; 297512116; 289833866; 311130929; 302134570; 52191060; 73411270; 284935481; 304547330; 631142967; 887014015; 315193604; 605066547; 1004954742; 19563632; 316088074; 688998807; 75216506; 479351128; 1000879108; 166103961; 707931206; 75429968; 309656534; 845810472; 1024989991; 112259293; 586463483; 907723074; 496131177; 702775247; 82027032; 137984225; 585372619; 33454268; 302314459; 423368974; 142979436; 319303835; 413939314; 803222130; 936824322; 216449308; 57888526; 630037154; 523446718; 664117928; 178392146; 1030154344; 451545610; 859598150; 791142691; 989320230; 633823542; 699071797; 9025416; 246527120; 1054502147; 111411188; 851025897; 312660338; 579857179; 943237808; 374984467; 501455904; 177326184; 844264919; 563488373; 1025422060; 893812502; 225555957; 807593823; 758401492; 1012513815; 86398212; 474834433; 942310289; 954529164; 458895726; 679094035; 897092509; 374502821; 69085260; 121678829; 560491850; 468664028; 892925968; 522777681; 84526094; 383152702; 381568441; 932974137; 699356962; 978758851; 681283331; 183927715; 471685758; 826804418; 823139023; 680671140; 867402253; 326043891; 725425523; 257607508; 765161528; 451150739; 827546525; 1056187532; 264788905; 27259468; 623320475; 134748692; 1031585214; 164283359; 530166912; 656118664; 365952642; 377679797; 244598557; 881047536; 141576220; 170706230; 63324335; 403698530; 402708418; 77219037; 840244058; 926573566; 386836397; 543099120; 171723386; 179002663; 256277884; 450270400; 811963767; 904823405; 493587597; 674740955; 232471646; 892506466; 295661272; 1041018886; 971005865; 19269522; 925312766; 772969760; 236568729; 37169174; 7765051; 875057994; 251503746; 1059611958; 571071938; 1058658931; 384040890; 281554630; 175547416; 457472332; 366511823; 268563344; 185283607; 289393340; 943223120; 882151483; 500774912; 128323066; 296847465; 161335199; 725946510; 534514580; 1072717374; 395198064; 451635736; 294685684; 652972506; 501116499; 901410695; 92217750; 701447999; 1069119455; 690537354; 747156008; 401278376; 478802000; 597677320; 167431699; 245926132; 551880099; 917529463; 787354748; 62844207; 633472240; 292845657; 838667998; 591895751; 942185414; 855166525; 845627603; 18662031; 1008613549; 497522476; 361012233; 327084964; 489536256; 548198009; 218231699; 751292200; 1037795749; 43086264; 136940017; 415887681; 583606013; 780613585; 688479799; 497785785; 708424778; 567799585; 1021163465; 749978574; 293467128; 804773425; 997118413; 273181432; 1065055097; 726084316; 325739366; 769261447; 528224832; 854362576; 837604234; 516009074; 670928762; 492248946; 466850572; 965898606; 182276976; 628758248; 617509173; 564878036; 796740277; 821963130; 692012591; 727903884; 169666062; 395336668; 500940559; 115803795; 816984888; 47088567; 645797700; 613421649; 779794298; 387965475; 23250763; 707903780; 1000750476; 929947351; 265134511; 259208726; 1001989839; 357770441; 336222696; 695772750; 631740691; 996711652; 570134288; 93263562; 681726261; 622298467; 504651320; 583014073; 329715815; 651211790; 169426186; 603781503; 246295926; 70152948; 930240408; 687031494; 841502454; 311351984; 412288537; 793641094; 403482030; 219205967; 202285145; 342126555; 428779207; 908570450; 340946348; 966807715; 66179265; 406789392; 907986092; 870681786; 471011890; 762514570; 183352496; 483948884; 1062328439; 718791800; 244511777; 490549904; 247782907; 708471493; 25714324; 1068824610; 277183998; 208089852; 959756901; 901795128; 727047727; 448475810; 42661438; 435605500; 111889543; 394940295; 1017699990; 251734922; 204490544; 747440951; 37958391; 469923274; 496603642; 15706006; 37223298; 466037490; 145197884; 996916218; 210128690; 632788025; 478053459; 460661984; 855522145; 1018520006; 657093804; 160030515; 613853640; 329681063; 872856176; 309015007; 392726592; 508433728; 443450548; 568867233; 489954521; 324119862; 657399529; 524709740; 781884207; 243100717; 701971507; 205060543; 268244215; 511491236; 79243448; 917510015; 898184910; 384192540; 975543539; 736565022; 108420312; 920969252; 790542671; 786155339; 1002094368; 355580392; 143347207; 421224866; 548795382; 91912172; 123581279; 346315088; 841497392; 144614683; 311075857; 391324125; 664154991; 306265289; 618092887; 201544988; 346878704; 53190750; 898425503; 150773565; 300810434; 921257082; 188801003; 524018630; 460232081; 164976140; 376216947; 107182723; 413309219; 289919892; 302279909; 759475749; 594437634; 32637445; 834020875; 968380226; 289087457; 229463763; 770745242; 948059892; 155499906; 172469441; 853698374; 1052697164; 830234737; 971726228; 609391278; 183366635; 298620437; 419047982; 66265343; 1016389666; 657698947; 612625935; 355800890; 37394442; 991204397; 297405271; 286351129; 259578689; 108157499; 454085023; 666505556; 166398120; 645650829; 404286108; 853466720; 30038796; 411126069; 645144528; 576551452; 957209364; 195756484; 827295806; 773692704; 949363932; 277554911; 139384938; 448442889; 568187552; 725810165; 802068037; 249534983; 529310494; 139440294; 47360889; 562390788; 97144508; 722153353; 295777116; 546313758; 138536123; 318765702; 756018996; 292466646; 632758901; 431953838; 437144636; 40350535; 447786893; 31715840; 316969088; 888427494; 819603006; 358558484; 161953628; 27371550; 406136038; 805432734; 283441724; 374767446; 707506922; 209549258; 35880932; 167760199; 903019266; 28825885; 953743655; 35394094; 1004052781; 156937460; 652724686; 704921904; 854838978; 605435061; 72668180; 791831198; 1053695607; 645166422; 830194432; 185943237; 227294859; 49234420; 133955624; 463275040; 322301883; 792785901; 236907459; 144844109; 602210999; 1018574722; 269492875; 816818939; 857212699; 154661133; 680272131; 536466743; 802841686; 857965901; 301531038; 971582196; 472289461; 932788471; 1049238424; 676822731; 90783536; 716421618; 747753840; 695683859; 31781335; 971455143; 595847586; 59952267; 274320001; 719170816; 1002891815; 871494260; 464235010; 878388108; 706413871; 624383985; 598276960; 222525687; 965912157; 950687121; 148720342; 753181245; 485499380; 1072734903; 523463578; 281101653; 972156998; 181882464; 124838045; 774887244; 917184897; 403066413; 537162950; 822631631; 252542212; 660036940; 369614941; 758448992; 1065207378; 640670432; 840384987; 68976901; 387468781; 976433079; 736133058; 298090078; 658437495; 807175131; 566595932; 569328410; 940066886; 889910771; 613293906; 231718959; 757329769; 446993834; 149233112; 606969690; 227563993; 345091894; 904951947; 917307502; 799431599; 807335717; 650989246; 573498360; 787742409; 605988475; 1065605616; 990429245; 752494763; 16563845; 240003831; 80229016; 395850613; 584479569; 913682522; 947682895; 1031925029; 572098028; 1070640390; 1055145660; 1056716696; 816607415; 596539638; 732501326; 1000255673; 514887484; 128751294; 301592322; 320331812; 527101290; 11111612; 183898423; 511928761; 674227840; 260858941; 80643196; 62778160; 349132922; 236130507; 1067639664; 52229306; 412195995; 244276237; 996179724; 785382905; 904980559; 670717745; 779964804; 534655016; 273969778; 193062204; 591801838; 586319218; 108152976; 834439522; 903335021; 181824694; 393768587; 447025634; 414042568; 760791586; 167883966; 221654125; 810763221; 802346694; 295864327; 260192249; 583535932; 1049574489; 517102557; 675639957; 16014690; 837772308; 412587418; 1038544986; 740833419; 879376168; 646842557; 542002118; 91466836; 657515978; 13983518; 354323990; 40486900; 294407891; 758216710; 221967933; 376309591; 830706809; 352679678; 732192410; 177162227; 35949483; 282428340; 67459476; 636559267; 1037209659; 145969710; 363950750; 644956292; 795971904; 264713404; 857179906; 103355963; 754194762; 502949206; 843581577; 68073242; 154931399; 588960134; 395583452; 558567854; 27332186; 723990908; 18672355; 515093307; 207902727; 605549350; 767006332; 331629803; 975014849; 472258070; 197285535; 295870353; 912978419; 412106510; 136485852; 593154458; 530975078; 637876781; 824744857; 18581527; 217341237; 793259611; 666646512; 957891622; 124165305; 569344082; 234288707; 1024600983; 335676227; 61812523; 924624561; 111526034; 271441730; 795589173; 898604774; 109645627; 809516871; 781528543; 110270420; 258794926; 213573870; 93478956; 208093616; 458262311; 621790335; 53841805; 676514696; 623426620; 843701184; 150507932; 540169493; 952676463; 202216827; 878713807; 265383850; 38209707; 752597031; 484540377; 541370065; 111923506; 62818646; 36352124; 188506206; 107436938; 595796911; 994299802; 143296061; 862059883; 417407433; 983358326; 161679233; 879074350; 331773538; 853661933; 696744880; 125863409; 832137690; 624421023; 618330578; 439508879; 621527933; 672797781; 139318186; 331540288; 446823889; 192381843; 122502761; 419243689; 142439076; 579746021; 251130607; 878169967; 905327142; 652811030; 424855456; 576219773; 64553649; 74918262; 429207879; 921153958; 704365471; 572845783; 660779128; 577408897; 1002395061; 576995606; 769068168; 1043429873; 730425829; 58938886; 169265881; 220664707; 351588686; 743351291; 50973728; 159490157; 48246634; 887555927; 844359314; 438391267; 1008514896; 680527144; 610116697; 168422747; 1043708325; 58051903; 955035044; 876569232; 162953197; 438828883; 51740636; 388710689; 436972242; 37194652; 439066896; 849996015; 442695690; 470726605; 176772266; 294797135; 4399935; 978900714; 1036685170; 1063568597; 571639732; 979132065; 715471082; 690501851; 152996095; 683904556; 109149952; 38879316; 925853; 314049769; 528967211; 125393732; 443692566; 904153489; 931876594; 945932840; 988594000; 767384014; 976852358; 791184054; 377058578; 503119716; 898038408; 246904400; 613328836; 477651428; 662900884; 478381055; 129341256; 719660028; 693796299; 809614416; 414930718; 1013155307; 221980447; 834639768; 185726948; 804431796; 1058866632; 536632793; 445431190; 781042060; 349149934; 388660791; 860896100; 88685025; 691822112; 783676734; 871106956; 413239410; 21343577; 270721968; 712657220; 449310642; 329558980; 193837230; 382377072; 56442063; 86524706; 831310773; 169746151; 367909597; 904958945; 735426475; 261433586; 342632864; 452606554; 90712137; 66430066; 428028744; 826819421; 216366487; 99650219; 1009088449; 804531101; 678235159; 440199215; 996046969; 433471426; 732894804; 868509306; 139755678; 846394218; 722582370; 470991618; 339198858; 746779419; 297767325; 414245711; 993542640; 512190418; 130991801; 175740041; 226902492; 611218915; 996979770; 305965689; 33788240; 68995824; 296567788; 301139010; 378178981; 729587769; 478306628; 494333489; 253731924; 584135691; 288053302; 733972031; 66918023; 526337484; 340804656; 906262003; 1061460509; 233976110; 289152041; 458167512; 543125551; 1020151388; 1072296875; 753411932; 198934265; 1000398956; 170225568; 432158902; 440935747; 93619115; 554035570; 516065105; 620955690; 811709972; 42258766; 22121939; 158057165; 951460598; 722740975; 886017371; 624962016; 800510177; 72124255; 989359188; 984114280; 963837263; 547989644; 1007522493; 221790677; 899432393; 789425656; 394448690; 520356831; 762487920; 65859325; 925532817; 329804769; 998143748; 923003233; 121789853; 1073283344; 818557283; 300156272; 24978324; 176494719; 522673978; 972085350; 901485125; 1011039940; 580303655; 511267549; 244424084; 133418956; 893117777; 551742053; 175432454; 288787327; 395978977; 959545611; 591216204; 44802087; 956271264; 247807303; 549506284; 583797090; 727198290; 353413511; 248245010; 129433701; 364047770; 1029210510; 660122462; 843997316; 215926361; 206254492; 1061677128; 374749056; 233507888; 160693366; 731170602; 672505590; 141122541; 327323229; 1015054808; 514318437; 734494214; 338800203; 680428580; 1015658039; 142267451; 1025770211; 546353370; 225648477; 421404361; 1042440170; 953230590; 489923987; 982965035; 846390564; 237773667; 675659567; 519215780; 684166246; 588271149; 639112547; 161799849; 956951396; 863629878; 688572541; 310777392; 285908218; 532458432; 1028107698; 708916402; 47217561; 520884726; 524813273; 922082654; 830427294; 840238685; 260170466; 195562016; 140468263; 430401789; 641953740; 845669768; 1046740208; 219168310; 639168082; 736051296; 615660351; 832130922; 84581823; 1009240355; 448267839; 544743960; 199375380; 546523079; 477180930; 840723791; 52717917; 817694639; 711063983; 749342897; 710188142; 165203620; 339708109; 1054089910; 419048821; 789161757; 713525052; 14803904; 235523847; 682252350; 833773513; 969970064; 1044385216; 292443229; 955430172; 606123840; 1070909241; 75242571; 483674926; 663689629; 632196086; 814510284; 18492799; 889820243; 503956467; 754133550; 939809186; 24860237; 858391269; 995037162; 750438196; 818368843; 932196888; 1038958801; 489767156; 787839986; 194112007; 767677690; 319631783; 1020406665; 450975272; 99323004; 796003703; 504730796; 528154219; 177143436; 1059547072; 544921766; 96405323; 1003541018; 205188409; 962934324; 789230663; 180883596; 157732519; 800926383; 594013122; 617662919; 990943003; 809517113; 431156879; 569020654; 31685592; 142460743; 1036304701; 59406501; 960155613; 884027787; 57660697; 1050391187; 298856912; 700176544; 563018283; 119750569; 383569799; 466727909; 653751400; 937304393; 625054570; 950921128; 359094949; 265159471; 988887718; 414028981; 224653632; 208068402; 516563385; 419841009; 845012708; 231779161; 426220125; 799304867; 195044901; 212290376; 540345315; 143847403; 587574719; 113643808; 169181549; 492775195; 37966959; 395433227; 399871304; 177408588; 669391051; 260397618; 69854321; 552379399; 398658870; 916902235; 238721148; 319515240; 797758203; 554424153; 795828354; 602044102; 13064658; 764265471; 888537510; 1003330232; 1032084515; 969831149; 56273019; 892678744; 854751077; 916144854; 756757011; 720714570; 524017892; 819614895; 830045589; 211473775; 19031335; 974949583; 490743844; 730143436; 682695628; 749581276; 533075744; 592286043; 1044200482; 97399053; 815174471; 826927767; 351719589; 189938945; 634271050; 30764794; 92514180; 202819872; 278421647; 637358182; 426944421; 902664; 748191299; 783628309; 886638900; 807171380; 306753654; 972417389; 877339968; 452333017; 98643977; 662694957; 309037454; 966571983; 109379129; 961891387; 888999609; 353844916; 1049433288; 68988852; 1005586138; 414789824; 828555289; 513738471; 102859902; 949237734; 445071855; 977144025; 627334638; 444751421; 496835971; 574618657; 439911208; 277848879; 582284214; 928008718; 293097403; 526488897; 261600661; 877004585; 505944996; 1053165947; 19861487; 970595898; 367956305; 998812396; 849054267; 881213428; 46852003; 900677706; 42384030; 724833003; 526007790; 493114657; 262371854; 556866108; 638534430; 1009508111; 727684794; 670283320; 282961146; 84725917; 605717672; 826412532; 384657211; 322223369; 405359543; 984212200; 94691597; 746474753; 168850927; 623382544; 356389999; 811700803; 127392732; 903625097; 145231783; 699827986; 968822909; 959835312; 552988648; 237276792; 640400040; 628754043; 18630212; 448281928; 189359459; 495677212; 931157992; 496569353; 126116235; 381524474; 920263104; 820470895; 104980712; 72402131; 293923042; 6213209; 249205333; 216860747; 52525831; 161865730; 268787410; 26551211; 1039012797; 251041186; 618907114; 366558452; 733526686; 362964461; 958066016; 725941259; 298873843; 399770877; 405358859; 107739286; 951422567; 1058587287; 642786353; 650259716; 516362821; 870904007; 54492645; 835565667; 862546341; 483609359; 620938445; 872336655; 272131189; 204586349; 802085358; 123674330; 314720388; 273321956; 738718448; 226076464; 1058024555; 739398287; 248374865; 963549194; 47425342; 706004273; 767623999; 872977736; 855413206; 874706265; 800046002; 179175924; 689286388; 256789475; 575733038; 748494834; 730981217; 151537557; 984309998; 129389110; 655200409; 733084753; 907476038; 1070043817; 21536611; 350310844; 863924920; 873983688; 1000333371; 593081632; 336025881; 168508500; 432665099; 570787250; 538507461; 542904176; 108782654; 628404871; 898419364; 437095833; 397815132; 210473299; 959873401; 936005884; 953922277; 888451742; 1048157360; 541288663; 581992648; 1033781023; 278626621; 425538819; 269218683; 789420042; 153577126; 748683410; 1068841183; 1064786898; 648159357; 298410425; 576292908; 410390981; 535111542; 139606395; 127091966; 971160319; 399103636; 181942407; 337155560; 535156068; 259844497; 518349732; 277916447; 401070261; 120132980; 152602436; 973912451; 767286464; 852346808; 573442678; 348146893; 79219775; 657152050; 795106898; 1008197445; 261915300; 221299311; 904400016; 597521131; 951861389; 821776793; 1061936624; 890718719; 1016610474; 301435212; 118048444; 797909812; 770183725; 206071843; 538014195; 472554095; 742616191; 320188172; 18364414; 400357144; 54894218; 334813562; 890603804; 755982639; 640693272; 800757991; 288466778; 797152517; 639112913; 603868564; 609466336; 217257179; 450325730; 375759231; 814414966; 650095382; 56752087; 192472198; 618917661; 954886819; 73463611; 626774717; 564976804; 249679729; 273412870; 368624943; 627644845; 760301976; 645971317; 376722821; 144381898; 945418351; 713014438; 774723973; 208166879; 479978429; 1019376598; 341537813; 131713518; 139948942; 390165478; 912838184; 477957895; 1001016066; 813602253; 607817925; 236326631; 360306998; 857111260; 631832465; 206812511; 656439683; 1073139663; 81399044; 847935360; 748721471; 356059987; 156827663; 671984076; 1029574887; 316533903; 622692989; 796010398; 848559654; 339983951; 110902276; 371285122; 543022571; 561493497; 329821203; 252759425; 148385495; 700764064; 902030145; 104038325; 868233977; 931421411; 1022939705; 953107343; 100676208; 219287208; 674471876; 166453956; 698473472; 206576868; 561481591; 817657502; 390150905; 700603541; 799936674; 957283839; 650912716; 618735381; 221236264; 1035318621; 446249649; 570983445; 207040519; 499815062; 927629892; 276504645; 372910551; 647357646; 1015900317; 543521543; 174967954; 908685647; 1051536401; 508560472; 114052652; 91476454; 731515692; 825793339; 931596884; 218195587; 804123237; 351546139; 412069301; 783830134; 713832726; 706719160; 641288634; 1052568745; 862671824; 462875904; 220723673; 561175164; 1014752318; 621376958; 860486322; 208895267; 131573229; 337734674; 807852081; 625352614; 357293602; 1019419724; 743961669; 658688198; 780400839; 1028281954; 511890352; 536361221; 311391148; 415816546; 230214934; 38912737; 321020546; 519407010; 851759726; 989925541; 528601945; 833605464; 303465056; 292575051; 643904326; 82733990; 190457361; 409448643; 768047701; 372968692; 59727993; 599495090; 318621509; 294152430; 422118164; 761981031; 1042078154; 954784731; 533301194; 708438920; 127003491; 249183038; 482016549; 213557936; 925180968; 812840240; 761217037; 576371936; 325705339; 711469617; 359924252; 63100546; 372356073; 696256967; 660648263; 567841524; 557704466; 562868553; 462357838; 252544631; 1065490336; 771396456; 191840739; 724810508; 839191586; 1000339916; 35005212; 715774647; 707796681; 213332037; 1030603359; 383089135; 796462792; 524091812; 753365437; 168798826; 619694055; 721195426; 935541451; 253642128; 1029486294; 510150708; 344890331; 252775022; 897684984; 384649680; 405058262; 834744037; 432345149; 686995734; 771132995; 352403402; 185570732; 775191651; 227203132; 758437465; 155150804; 996685953; 876132607; 473461576; 604912757; 578082714; 1033313797; 97976428; 72615267; 53031448; 993771522; 767713388; 750714087; 850751612; 369794634; 826978596; 839153059; 783791782; 381489070; 438885591; 46009540; 258942094; 1040318809; 571401493; 504246757; 370597378; 184282095; 772340361; 490714374; 224777971; 200949656; 289861593; 60900172; 197944794; 360828128; 851955166; 503311591; 769398196; 1054077872; 879816452; 549495892; 963256859; 633020661; 77702832; 310407055; 416679784; 653993952; 3712229; 359596469; 413055763; 4150204; 444973599; 542151813; 474516446; 695700120; 107296472; 1004009330; 1068427433; 403296516; 349280746; 458375670; 257979966; 964634612; 155154591; 283186304; 472372003; 244839375; 59804753; 29324212; 843005238; 753878151; 659731517; 691018419; 289719862; 289951751; 185720734; 95318151; 617709978; 651219211; 112647468; 851959728; 390254899; 263391673; 107523226; 639056875; 1014263634; 1067215853; 438803896; 289017287; 414732304; 750547512; 422833458; 509257710; 775779782; 893783652; 225183757; 768534489; 736650612; 396468485; 786609162; 646106450; 473159223; 440898989; 662430313; 723364543; 267464502; 814675450; 587403726; 12396665; 111507577; 139578078; 17115197; 74912988; 571289947; 834603367; 681544633; 86331106; 874758574; 112316186; 929977090; 256761480; 27802924; 304444259; 990648072; 416173362; 472012520; 738790425; 68777166; 332976942; 154000381; 548445028; 1033093734; 131993820; 810329269; 105787912; 316759373; 446010836; 382466401; 1051854537; 252354871; 978975035; 505605346; 941136318; 624830455; 764625852; 211925104; 787676633; 438124261; 338130422; 297739050; 643359501; 74277629; 195089385; 692996523; 698652776; 890804538; 198013705; 233395180; 402103899; 204283840; 132700062; 439013229; 803515625; 494666900; 909736982; 502985105; 1041729486; 833192339; 765076616; 506878948; 243663746; 579013184; 879884510; 74978737; 462143878; 649714502; 728942234; 484545055; 37881914; 716318361; 915976367; 588767920; 491138069; 747507735; 571720335; 831406254; 374954824; 246374860; 992862601; 197627373; 401051130; 240641200; 876478745; 405235804; 178633548; 575010651; 446146830; 623137254; 285317420; 905380569; 91315619; 588631900; 1032740703; 990494575; 342763311; 76097338; 185184737; 359451719; 422915903; 138667457; 787645470; 674153705; 712051081; 171885858; 761666572; 979592228; 1026257949; 1002376236; 734232976; 1071546639; 603012582; 921248939; 941070906; 208203103; 929245171; 652678470; 761577208; 297656092; 187175862; 68445526; 426373495; 1022371788; 904173365; 702552848; 768813177; 305927671; 76857545; 38165266; 953897917; 265479500; 316903681; 536961808; 912117955; 1057716854; 923286080; 262368542; 638893694; 336840603; 448135071; 22886402; 611646043; 977054256; 413352299; 848517238; 629218256; 1025420627; 372512818; 552965879; 331629228; 246920331; 248558178; 729917591; 17135477; 428942023; 747476206; 374217916; 726537932; 897484681; 435342434; 229153611; 609584226; 103730942; 924218829; 191087213; 286956298; 909532543; 366834369; 595680642; 66724502; 709445723; 419862178; 572411315; 682934045; 1027742009; 936314046; 722285314; 851002216; 494651676; 366124055; 552643893; 559714500; 363545437; 1021207446; 1018806190; 314809077; 497477754; 528714062; 191019560; 316803570; 124214351; 773499507; 976455088; 799901533; 798305186; 535055679; 406138421; 643073314; 1041132772; 501759350; 625788266; 447808213; 1013821227; 398364537; 202882341; 1046663685; 564004078; 192448662; 223978374; 661943885; 661687402; 915999237; 976884544; 872567136; 577978640; 713759183; 901500437; 189686734; 1050072317; 54359062; 572555497; 966225076; 690057232; 549204458; 901904723; 346350011; 593833046; 798586054; 426539444; 580314077; 139381842; 858762917; 376503974; 334145929; 984639784; 509392279; 776493032; 55806477; 129900715; 92543617; 125301079; 242076065; 690683688; 1055741152; 632986529; 455847834; 409642594; 110745962; 858563475; 933960509; 928656845; 409264853; 252334799; 304704788; 498120638; 347852470; 485471815; 850197092; 295963686; 231545575; 505709685; 31193549; 398441594; 628787149; 553881594; 625660279; 660303065; 513235535; 265685636; 34120092; 944644358; 987763707; 862525355; 283611191; 283618857; 116650933; 275706336; 389678748; 484598907; 446815601; 1002676155; 118790029; 652537062; 815421052; 717427253; 770184661; 162589089; 555914280; 827462857; 699057165; 684456930; 407611503; 671691486; 174702141; 59509801; 528349623; 1029912966; 1008907353; 367292755; 479609782; 1002389456; 901211146; 896493478; 449795938; 97459191; 47504795; 546966003; 692419314; 745641321; 819145339; 663640805; 256478931; 94588676; 148173009; 30456941; 1058989677; 268547492; 616316806; 468383834; 350951819; 72236094; 263105657; 529242239; 454354905; 210084717; 474902926; 700066410; 574278675; 879191166; 110652370; 176015298; 198724836; 54542089; 316608909; 476217544; 372789465; 311449473; 656624183; 660185683; 254292739; 708416611; 1009836802; 60875028; 428930774; 792386872; 235872640; 714555645; 85662484; 119535198; 885477610; 704881060; 747148362; 459698433; 815646237; 993210892; 993433830; 31447585; 460787077; 515931002; 357202116; 1050367799; 22373039; 269565051; 219870236; 565138487; 111967056; 973617672; 152166455; 862663825; 579793156; 943869055; 389067592; 496393830; 832934039; 417804718; 775713033; 528799751; 77717028; 713521882; 760104271; 195853625; 692129446; 715292547; 753269493; 521531688; 121663174; 411073963; 16332214; 466332035; 384786246; 713483966; 1070776834; 870154514; 241016320; 182355831; 653230790; 533910764; 72520960; 981074069; 436277083; 265157131; 260332289; 832984124; 610290119; 556651516; 1025073302; 88008245; 256774399; 729400974; 509305174; 877175411; 564526346; 996810674; 845321353; 9221119; 928730484; 3025366; 90350874; 943854730; 454952927; 464359059; 70892632; 1068245270; 660928528; 608087899; 254509567; 520449546; 139161049; 206351689; 822450300; 520105523; 665727828; 877798290; 297823048; 115937985; 774749656; 918936575; 801327555; 1045626343; 541463964; 264237333; 245627802; 883454871; 107593579; 584392651; 788557697; 834485898; 391517378; 525455111; 480797854; 322089785; 382631918; 826516435; 932355894; 299925095; 235329948; 439115161; 684859552; 644647278; 972950958; 176481139; 1059277385; 39917227; 467154974; 246596754; 854758658; 614015815; 575244938; 1070062874; 38502374; 426800317; 872421252; 744398577; 229665446; 233687140; 477719110; 1007240870; 66842789; 112237698; 955872615; 320812034; 1031792405; 961204511; 385963450; 261194937; 37897904; 154607793; 48650514; 630133011; 502358883; 191644191; 1036162597; 1022715148; 643631741; 907990512; 915965209; 509911333; 963779685; 529896031; 802839401; 679723639; 1014370560; 865285482; 392270681; 22152923; 943005180; 207262362; 765355336; 525628782; 341270649; 159232019; 599489904; 88149331; 24146848; 156465268; 671897231; 181380307; 868711031; 579631552; 85927088; 524479771; 72953518; 912816408; 638678492; 670915033; 889579897; 159508224; 46694405; 420651125; 607592705; 241551140; 84559770; 27257365; 59927690; 746600759; 296570579; 429704288; 657512202; 23609571; 852006141; 623755526; 430068945; 965834303; 992192383; 647842174; 201043191; 445433833; 24280700; 139160684; 599868426; 51921023; 341806627; 333088433; 625790013; 879235787; 778282754; 459715932; 947051428; 879450797; 896336014; 88866441; 964047493; 685516444; 494708265; 969400302; 164167879; 726204453; 154509638; 468559335; 427418435; 379145291; 186629290; 60911021; 118424738; 637955552; 833023721; 811067152; 720737555; 50230189; 954781377; 630904722; 426629224; 748623849; 987367102; 528066387; 837989889; 778603303; 443243796; 8580728; 614163886; 49345827; 196146082; 732501802; 666909770; 709639136; 479284683; 361815749; 669986294; 19571390; 967460673; 346890161; 363292058; 660357436; 482606299; 1016888446; 187475589; 891484349; 267244196; 51024563; 442459852; 837910654; 663865083; 797950327; 221915484; 364082808; 802721085; 684352219; 944205829; 551268837; 261902313; 221731138; 18753236; 797741865; 654193798; 677340626; 434079480; 86140997; 1053258792; 708989460; 815020291; 361803183; 521229165; 33514508; 425709215; 136151262; 623041766; 286484475; 757803676; 232729224; 141919488; 239784060; 686845409; 51263191; 27521725; 222297031; 796613731; 527064284; 284205066; 790474952; 727411155; 222660883; 661637843; 594940991; 957484926; 948042264; 829534194; 394346530; 641644727; 463114411; 210884609; 634101307; 6096773; 530756011; 531051076; 285304092; 748801429; 1067626750; 1029567243; 6247999; 211044410; 466405818; 1042463539; 173987987; 876478824; 622091163; 318059179; 450462235; 253082522; 638609222; 1046093738; 544140511; 243859841; 761185033; 357729520; 498302743; 943649373; 830632336; 409775022; 184955569; 82803075; 58800551; 40709622; 580993535; 694299405; 579746636; 359039397; 357236682; 811917589; 502952096; 231009183; 425276606; 559887116; 141950323; 707714418; 887805578; 953567991; 151092296; 216377107; 1019497361; 191877859; 848423242; 960075070; 765473128; 131611197; 166456650; 61129101; 1054605512; 515665239; 166382560; 483578061; 283090130; 384388068; 733851246; 565336307; 433438029; 176447308; 574409154; 769292065; 57325318; 649921495; 899868385; 446025157; 701690470; 533421785; 632084014; 1263510; 656425859; 957455753; 396025698; 815858253; 938595537; 192765624; 1025603591; 545967349; 98727256; 305916490; 119718886; 385879636; 288000400; 747911523; 1036540077; 585332841; 315430842; 5635079; 613150671; 215556454; 606099909; 347122249; 532591303; 1033920912; 418069893; 921926005; 125788724; 619390806; 951701223; 230916674; 934312200; 655894738; 424828490; 822525693; 485376216; 1255025; 520033412; 288449294; 657280349; 383812856; 689616080; 60383317; 112763040; 1031083104; 361220533; 31307734; 480547071; 1043962295; 386963852; 308381067; 39318620; 806590086; 811239344; 44037295; 264322333; 1020604088; 291268168; 51154580; 787550297; 379784370; 781512910; 128700959; 941957562; 612534214; 241603634; 142158963; 877491445; 1043374192; 557893673; 618304732; 833445033; 10424989; 67835217; 413591863; 84867023; 405150259; 416829152; 529162280; 472717550; 1054887036; 511573540; 123614480; 957160181; 14441860; 798797042; 196353680; 838898470; 346969502; 100696547; 867976575; 560661065; 657101521; 900973164; 297206104; 30120765; 404554224; 859529005; 969404876; 1027483856; 229612132; 378932470; 614064274; 735428456; 400826374; 202462931; 652739585; 853494026; 685490997; 28936508; 7400528; 956894430; 341012265; 638164476; 528434788; 349703458; 196073524; 742896907; 317969779; 1070251113; 1027254058; 626159592; 526407686; 815640378; 238547805; 86775055; 321591459; 33748227; 752498149; 158221360; 637974809; 926584148; 536321269; 155445654; 629436092; 104896687; 830648438; 740889415; 41439875; 226423746; 195194331; 678462282; 507899542; 420276967; 238523765; 503856520; 803817203; 492315661; 693861596; 689977395; 544311178; 457659138; 968627785; 821092820; 514549692; 433853735; 298014099; 768044904; 704525758; 792683559; 1068007884; 1019511429; 651197495; 881817515; 848939432; 748425424; 845916875; 132192991; 246628670; 148612420; 194895615; 1065959116; 1027176554; 127878313; 159593590; 757685938; 425433051; 207829619; 1063183233; 1041242303; 985434950; 928270809; 896587665; 261955776; 1037277397; 71003944; 973276791; 607439161; 714242721; 29656293; 26413278; 800989; 618482231; 996595001; 658152939; 283560923; 211709357; 213102009; 554983271; 35761104; 678824349; 431036025; 764692573; 411748447; 816899786; 200195038; 8666298; 930268142; 676534646; 362464556; 815272861; 365920889; 283357677; 391998045; 1034376496; 634092771; 402945985; 890223727; 582427710; 301382357; 344724391; 579461006; 542741316; 692462750; 601936425; 265542090; 339843176; 717135827; 562111084; 459632999; 168027831; 199463801; 862687495; 213483826; 1054030573; 1072373130; 916939175; 352137318; 90951833; 985200612; 7936043; 121056942; 861489625; 633215294; 371686155; 901868126; 454856909; 140173762; 368929979; 440141878; 926233938; 739602765; 812631130; 497361658; 958187970; 910247533; 481661240; 415588442; 210034947; 968262606; 504327859; 826319830; 963265214; 470449853; 684370463; 915965408; 254541669; 293425743; 413355734; 148384079; 23509081; 792050624; 212265821; 972980495; 796702208; 836177517; 384625129; 692179992; 659616969; 690460485; 125440243; 212797907; 901378673; 595996088; 537658467; 1027110832; 1018050997; 687528789; 103142112; 494060575; 587286656; 618022589; 554396358; 177022245; 431806756; 336782843; 918011955; 893575024; 1003512270; 190223197; 939110294; 535672162; 147138973; 362878889; 601630092; 1054716554; 744308473; 11429154; 867442601; 1023851826; 1029475900; 185887759; 781667810; 612406415; 59954283; 577562630; 235662324; 297878842; 608133122; 6921475; 449763879; 356141540; 758098286; 70726297; 207179094; 863370255; 506400861; 839718663; 114444339; 822204045; 973812842; 503960451; 506785404; 80705736; 783216641; 65231954; 826678307; 415101587; 613471040; 969306614; 191405560; 802163884; 411938125; 399129112; 370491718; 348602650; 220019945; 850853804; 838891368; 439313110; 1006188523; 590456635; 66350998; 550479914; 361536506; 370404836; 220074598; 320602837; 57438006; 977836603; 134225186; 1067189267; 72978868; 13964640; 674086112; 1009607606; 717742884; 854214460; 1027746370; 805190860; 546026538; 17793488; 32967336; 599616125; 979008208; 787866287; 58641859; 873262916; 402854719; 383320163; 817587062; 858381688; 558822070; 185559208; 28149468; 392196998; 477389119; 488204513; 328488351; 1015357707; 620103829; 27482420; 829686011; 623353088; 587032010; 214036783; 720940938; 535146398; 251626733; 178709572; 991803512; 477516899; 244868987; 93067131; 128380265; 886928774; 466260593; 621508917; 532079222; 949278186; 1059548063; 883257588; 282079835; 765781170; 360171282; 533125982; 742025858; 28866221; 610802925; 981843319; 829631986; 557061690; 313384014; 76328337; 250195962; 8060463; 155507501; 295344933; 791017978; 931915752; 608072564; 102113970; 703957785; 749100290; 913889395; 1073693643; 213888980; 434318899; 868214999; 1045882349; 771405650; 375640544; 693646406; 393291780; 311661936; 529048419; 975750544; 1058942251; 414093255; 982088166; 457680952; 92065080; 311616506; 1019912917; 1026982138; 439002020; 950175159; 403306115; 960142184; 318459185; 533179405; 954922655; 729836895; 125052357; 299425874; 744510629; 885717910; 209254204; 965325904; 467550053; 65497386; 328889359; 667837289; 112577040; 101288090; 986082243; 946171834; 374093143; 992336695; 942352224; 401350229; 478465374; 597314754; 172125072; 57121425; 222898811; 934187815; 863288352; 1016921968; 647838560; 241833660; 123424195; 210360524; 308428188; 794260039; 1024306639; 855466803; 283475416; 773473840; 772791857; 754769725; 429528791; 919872521; 241303931; 474040632; 932122053; 278137706; 1042861519; 616334173; 377407107; 714972147; 698588334; 855374062; 484343313; 701413587; 872143476; 878810349; 926667365; 200552267; 946719198; 182008735; 36598444; 116483134; 297891798; 1060850652; 512912929; 111046; 876704564; 753231519; 21057004; 846891782; 213716646; 846774225; 974327996; 762937259; 497094833; 729186265; 322955357; 561192869; 371934869; 382629147; 55171897; 924235668; 843294746; 983603887; 94703415; 126837692; 734366327; 723946571; 511978444; 360238531; 682184746; 1039759704; 62683055; 880866605; 930644092; 231155629; 547199257; 548224862; 178306188; 802138718; 42713737; 357326814; 266087873; 838970142; 633592269; 628274149; 242967116; 1016677213; 319280143; 205573516; 1008980611; 918927106; 743148510; 357606650; 577634120; 838850122; 765960572; 1066266222; 245170439; 255078527; 365797474; 494856476; 247462304; 92582048; 756872965; 492919565; 178976865; 321868042; 162192977; 744350031; 825702490; 253665145; 501722552; 224192680; 684103307; 643094812; 989095588; 978389986; 653393734; 89936128; 268379409; 201753666; 367003011; 52455190; 302911993; 900471343; 180527632; 817448583; 213048329; 238813080; 396849037; 586713734; 884224468; 110304325; 835987134; 774593683; 317126812; 918033622; 220081913; 118999990; 963965549; 1002525783; 535726316; 1070431449; 58689338; 378248663; 76099029; 827254086; 184293218; 679723035; 507973717; 560250710; 509578371; 1015863253; 835296500; 375765234; 239444988; 126284702; 403946062; 93527478; 562094601; 414256655; 503736903; 838174053; 1000261527; 424567323; 367402064; 856370446; 812975043; 379288687; 351480293; 174424719; 89104697; 599378790; 119540262; 522441647; 515519776; 1073024836; 394515867; 52383918; 930446305; 576967029; 790689275; 133075904; 675834852; 450085347; 709508807; 392877161; 1019347279; 983862975; 180372464; 254879117; 483495921; 328501048; 82614759; 983494403; 804419181; 1050345844; 664537993; 638407538; 718086644; 835917289; 1041734588; 797733909; 490830246; 206548463; 469125346; 73448237; 704735351; 390373717; 666515000; 857525286; 837936525; 894094970; 1021026143; 785354813; 170986844; 1025767085; 370953679; 507642016; 733441611; 567447268; 599218402; 1043178235; 1047139983; 32757558; 160145155; 996569501; 443418087; 1005939635; 863981206; 992357087; 803143762; 560485693; 403029012; 911911888; 567826236; 793089929; 717696272; 812368587; 294736472; 509258665; 1049220963; 765484263; 100739993; 673300377; 67806107; 25649355; 619640883; 710305019; 570528474; 369951938; 709622529; 77255067; 495886231; 514430257; 197510271; 859766324; 754654872; 196220875; 153406354; 739330988; 489873168; 901833928; 900462895; 34713617; 230359982; 489988956; 423676354; 39269575; 995937401; 667692388; 284582302; 131261558; 183163797; 482401354; 434977103; 490526271; 17707577; 639637999; 656630338; 1011299127; 952291500; 143779930; 74792763; 212559093; 168462572; 174116632; 422754233; 986852620; 126317700; 270070501; 269320652; 854898958; 573904861; 688013614; 927268050; 864061247; 1059494078; 600115574; 248793677; 1058355360; 454683294; 436072003; 172645748; 1038125816; 351428359; 706069588; 942264705; 872931437; 58020774; 982533521; 323764480; 85228162; 675311246; 99772360; 7327466; 743833781; 121483350; 122085619; 56371099; 66240025; 391052190; 82404440; 424326140; 247399296; 408683633; 990335776; 484590350; 827523540; 27648584; 590127694; 625543072; 507848208; 82188717; 484035727; 1006616728; 777840096; 808977533; 177109147; 932994566; 442779758; 333965126; 729155411; 205743646; 586347332; 252395901; 299736405; 773583412; 631408969; 334720216; 55659483; 847486184; 954736615; 666877381; 242052607; 274745723; 382721144; 331623158; 336859545; 226751772; 998287664; 849340717; 792992714; 286687555; 367751925; 441576690; 867162760; 1044009470; 933362916; 412276620; 522843891; 831413976; 347858816; 104925261; 715533556; 74237857; 419033593; 970176567; 622781424; 123791407; 995073315; 312953992; 232350547; 954903409; 855808150; 968999021; 165546475; 1009720044; 495133758; 756402554; 966845553; 867772719; 30270200; 401987815; 317466664; 427784919; 238854997; 865709611; 10691605; 585926293; 129285769; 620003820; 498423300; 588912446; 745880985; 308428258; 986609879; 44315040; 932678339; 627417659; 1019467912; 516207022; 391653642; 430581147; 903379848; 85580923; 123119500; 707230802; 207785582; 195825261; 701550843; 107453312; 813746863; 24403845; 397817088; 5942064; 1061416454; 825046332; 338553370; 105291157; 893391925; 425124309; 533896161; 183578462; 625041607; 76987902; 534722013; 878719484; 569603750; 145708791; 800466373; 488224372; 555334778; 129292549; 979945876; 624452163; 176508114; 335639218; 409493797; 857293150; 233772555; 1072128590; 730212541; 374170699; 985894614; 821794917; 132821940; 655642308; 742059042; 629023920; 770389258; 358452924; 247876355; 794957796; 531549398; 994704727; 363246741; 807052239; 200457868; 384327577; 473334713; 443926426; 921035023; 9382628; 529312698; 706018898; 1036719937; 82305694; 307959763; 326407914; 127044048; 320135219; 547771401; 730436903; 126506345; 248408676; 513575697; 918461348; 1073271335; 929434456; 213137310; 824502458; 640078596; 777892150; 663283186; 253056309; 686734655; 976089869; 226738890; 772388076; 1008434622; 196720775; 987026433; 251354947; 181965863; 8243011; 1052052638; 573292622; 708143972; 479681009; 215706190; 261652624; 737906622; 263590731; 1032579287; 395870710; 385807485; 886836782; 230527197; 772266480; 151942707; 604439816; 140709325; 357830541; 415689792; 83733354; 710374368; 618845631; 959507776; 506725168; 790004831; 68213618; 781613945; 776378317; 297695332; 508242622; 858452274; 703541387; 195590783; 537345002; 696680657; 28340736; 227181874; 83829578; 27163038; 560558335; 775539399; 1059417489; 1049741285; 590124423; 996459002; 745036097; 605813332; 545659720; 312890312; 548136839; 59381044; 750249170; 471606296; 229750162; 943872036; 379564018; 1019237695; 549096513; 366387948; 88031836; 457155297; 871524700; 446765225; 934942358; 900955812; 1009438808; 80178984; 898863225; 831670679; 821627940; 942208525; 271175; 955954852; 1050551015; 519844193; 640241982; 29104782; 416034323; 112876304; 588851889; 496143591; 451505808; 156490950; 941203; 610398013; 727730887; 688244943; 108955023; 527901509; 239654410; 535962845; 366649024; 287764436; 200600286; 892448629; 760249586; 422988577; 322323145; 155305476; 787912417; 282798129; 1058905247; 1053044620; 262120482; 772944226; 731439641; 488918178; 309721317; 646701464; 284240366; 429893019; 145989346; 846316220; 205812038; 702529514; 695043919; 194698046; 114925692; 689482397; 97983540; 230784552; 503158840; 288602720; 969277401; 366364483; 815742482; 93642190; 835982968; 452314109; 919780442; 66275040; 895054924; 277223424; 192693628; 381519106; 774467774; 573186074; 657089188; 521757607; 421785246; 106454412; 1067929818; 1054659176; 1045924893; 507888017; 492237306; 560774644; 994385360; 399538959; 365531000; 795987803; 320194318; 499618159; 758201312; 481267612; 542039673; 249018286; 310113511; 677357455; 750790845; 371712766; 748650747; 120426167; 563764074; 441505723; 315819027; 91482845; 42786637; 824357051; 362419084; 172701696; 544036702; 828184091; 340883770; 83939996; 1017842204; 763351222; 595525297; 841342543; 224286707; 261932748; 291914485; 808304133; 76528932; 732974355; 80592944; 966516357; 7661810; 644718496; 288966741; 127276408; 131283072; 310434043; 1039195897; 471908823; 11244062; 1072784067; 993193470; 642482603; 794242527; 475104476; 682426950; 1012657254; 307679655; 838680159; 400388506; 1062226611; 195653207; 785303726; 967323691; 680123967; 474050414; 849385097; 854883178; 191697255; 937288362; 1016238480; 395065887; 845262350; 904841465; 181142836; 725903073; 988114266; 1036727363; 595287243; 88851232; 956565222; 651338627; 314405057; 610983447; 365445108; 562488078; 898237141; 490488392; 12847436; 1030084713; 304782273; 39123844; 150518928; 617766077; 562303844; 127405928; 118902814; 391076987; 95105027; 34409584; 539892544; 1037906000; 598759413; 163337005; 594475276; 691956487; 139172956; 598357383; 347830804; 889547522; 772339740; 51210550; 283304570; 334808854; 353175837; 894256546; 479266475; 6816740; 792139581; 1036750166; 902730234; 196022765; 16588798; 62233359; 974059246; 725383514; 701281760; 17827423; 60903253; 571179431; 960544026; 569824907; 291306162; 176055219; 417092488; 1061785725; 448848261; 868604111; 75266764; 1011661537; 219080040; 480206279; 306024371; 112921794; 1066765525; 617457100; 89316865; 910065933; 737070236; 756672443; 608191006; 21070737; 892996042; 1006070724; 295847707; 149390761; 1015842706; 280380347; 961915018; 585694407; 516993429; 355160833; 1064674333; 864239162; 806355104; 1046998566; 623971474; 241644792; 979900692; 393116426; 47028066; 621558171; 1043514816; 118152702; 959478688; 770198449; 262827112; 420415020; 44808525; 494862339; 631132376; 693233032; 1003753577; 935668297; 942445976; 347065996; 692223357; 148425327; 73716484; 617207435; 642421515; 1030700992; 1042373770; 429963519; 649640916; 274613401; 999562146; 99297379; 1020470444; 491706384; 1065867129; 901831751; 73276720; 659943312; 663251606; 998548706; 475869609; 830453649; 927838174; 620048731; 658217581; 444444407; 523709707; 201976614; 908266261; 157098698; 300731124; 195444173; 574164719; 517492197; 439928869; 829958229; 863368271; 592131918; 535931406; 975307108; 141267461; 1048598646; 843909862; 785445066; 76189844; 712681175; 522931022; 741390684; 163510018; 829437905; 193269346; 344356545; 199177091; 601608810; 437248743; 184032992; 1057761504; 411384144; 61754757; 413846689; 620639049; 529037602; 570226059; 966141895; 124068892; 927427942; 288178174; 690663847; 415709200; 755755754; 335606175; 723212606; 496633269; 21356741; 523906487; 528307052; 591580142; 688901068; 895854419; 51050863; 153521455; 550162093; 538681763; 665588937; 834354219; 397764179; 694448629; 172242186; 718130365; 167068843; 535151981; 493283560; 396759715; 537005770; 943616051; 305658689; 916376844; 42693351; 185392894; 116287839; 160522472; 534309278; 867175085; 761091722; 715074173; 564178920; 892635861; 867075895; 602414170; 593411798; 415617047; 909423780; 292548279; 736880927; 828120757; 785063134; 230012968; 463495382; 636571588; 570595897; 171814759; 1003227052; 229422431; 352017287; 316361323; 687383453; 341452989; 501256239; 701372011; 720325986; 163375228; 272811975; 23088403; 258393327; 745118817; 502611344; 515905616; 342885172; 562335523; 715815668; 997669692; 554018518; 659362278; 675542521; 790905812; 226766092; 202547181; 799973876; 150930813; 366059209; 180087580; 553952815; 624861328; 859844806; 527534008; 219352507; 994271065; 853490992; 1007048959; 1033151581; 810031587; 197276377; 152042837; 310229424; 328553704; 357219037; 387492606; 638043225; 31130642; 223913867; 322802088; 933272721; 379097430; 818955084; 184834689; 624767030; 142102674; 749478576; 304813712; 284428871; 655828641; 378365669; 924234396; 70787301; 14033433; 93043730; 986245962; 535351313; 493648183; 121817854; 188017893; 248698218; 761044847; 58695821; 927591989; 212246022; 967384711; 79346265; 286309021; 115726990; 776521569; 453337042; 435435374; 412607717; 1052266830; 527252382; 580820013; 256078843; 17718404; 85475749; 647242474; 1061440178; 836489335; 397826104; 576430656; 944043087; 452006597; 994088475; 989755819; 715120488; 29918268; 743932762; 545051491; 853972440; 167376190; 301652073; 519679934; 513028392; 1070446247; 715843450; 176012748; 242531236; 657778776; 783314109; 920441321; 820573057; 386199626; 75188903; 859235028; 158316074; 529518690; 701818356; 25968160; 703073332; 377567765; 24221898; 614714675; 821437354; 908201392; 386629189; 157824974; 681326473; 715146630; 1003184248; 617732679; 190547780; 449612082; 777351137; 579169221; 760823318; 764851833; 722621490; 952071741; 676817279; 738265248; 683807668; 614829341; 882283201; 377634095; 322616508; 297320992; 635664974; 69913397; 366648981; 960446373; 664202259; 840626816; 152698965; 866018144; 879743789; 399151338; 349926445; 46407672; 971596890; 546553585; 630172322; 404211468; 277477485; 26776302; 654322282; 923216180; 673980965; 449508153; 651142746; 404930176; 798099553; 335700758; 660037083; 259167543; 254169961; 643681548; 398033443; 133372389; 10138583; 712029529; 375155389; 705365113; 923283156; 236614211; 788240665; 1042597032; 684546801; 94294270; 289411964; 775840198; 593887078; 453849897; 844618852; 155983648; 376652254; 732831085; 1003853562; 141334613; 208446081; 925289518; 888642929; 883113122; 997474221; 858149591; 195811971; 928493900; 872124402; 954156864; 891013171; 862336873; 757456777; 110839713; 1002613090; 493144083; 789298856; 403485825; 220460638; 944253541; 132521009; 438620346; 523075888; 383695165; 884510631; 633446427; 964381868; 27767016; 684898511; 262949470; 438254262; 264098649; 912847889; 446670881; 998457655; 819734220; 601060361; 761460767; 531227948; 317985632; 943325998; 805431991; 241763649; 666687984; 556934690; 25237654; 322190573; 453627799; 770529971; 65620966; 193786019; 946801790; 871433289; 1026468024; 157645876; 112716285; 372653626; 601652247; 428730643; 15155309; 8551094; 281352619; 581124206; 651690171; 483670185; 525947042; 617691336; 989319203; 283362601; 447877417; 829355094; 426243881; 581956338; 296595363; 789324827; 116268021; 372553282; 130199276; 498523803; 722121836; 367328239; 846023393; 972456731; 569083348; 666305374; 222474906; 824303161; 1004823323; 17913262; 738000261; 933130240; 120774789; 561269334; 473401620; 1067620485; 844286534; 539220515; 366072789; 6052528; 121354411; 629001217; 874491474; 185813625; 854102676; 365582621; 232218979; 163184656; 1031958903; 572853452; 245254724; 859865416; 860304836; 643675995; 444121428; 835434027; 591527935; 311427536; 575471920; 211591986; 386688243; 433932163; 1046723087; 220188689; 504179714; 157627131; 942138004; 466864861; 820306958; 803456362; 388136901; 702439144; 247508042; 246892194; 359680448; 264745945; 582240272; 317590249; 112699566; 474198109; 205011931; 1015308674; 3346557; 19878199; 97797515; 574070002; 183133314; 381312521; 994377669; 140660095; 160188494; 686471934; 646164979; 909895530; 66306823; 859320746; 472507045; 969623651; 810953425; 472582771; 594323668; 89769761; 42864710; 708755749; 963368256; 590256443; 901351445; 674562564; 341958425; 1009394055; 1007260068; 940946647; 184856157; 975581399; 166014378; 545128759; 21439876; 241194011; 363706556; 115288951; 64424234; 297872135; 203196643; 453054164; 550117109; 847513966; 45441844; 375095301; 168807992; 427414352; 8404805; 223883989; 454635689; 961331156; 688730702; 508633126; 324086378; 449742204; 652410233; 885644888; 248328797; 417918845; 795532993; 636253332; 817447657; 204380437; 296539169; 394637699; 580630790; 377829301; 435199029; 442664117; 583733267; 817828999; 324709661; 581858649; 243606433; 275983611; 640316541; 446942248; 111254798; 461468649; 38838063; 428895508; 361978035; 705799711; 1014748447; 13114311; 872896005; 93572248; 57250322; 576875715; 84295298; 1013664523; 88821573; 41270377; 237460743; 766016438; 547031032; 483391059; 496848590; 354491037; 151589763; 653182201; 117801834; 298160091; 789896649; 253813791; 564710494; 38738186; 780406155; 294957876; 337935627; 844247498; 604529185; 337761682; 899154295; 161652913; 261863588; 479396645; 589602600; 319514543; 178952086; 43682339; 833175786; 380599927; 494376087; 408055640; 283679372; 576578239; 685619542; 294252394; 764642087; 736566673; 601466926; 290254256; 640175473; 244862966; 384196485; 1063492328; 325013314; 685455340; 350122375; 1032959863; 1012957877; 744960287; 589217673; 277958791; 981481545; 47885125; 46335031; 69238605; 983010589; 806793922; 649338537; 86559764; 970914099; 608946689; 156622162; 34887200; 166903174; 625860354; 729006794; 991419424; 327262412; 63633533; 397609944; 1032889552; 42827279; 119596529; 488311313; 701871168; 960548614; 350199509; 282336898; 699900805; 82385448; 281139135; 878057199; 257325187; 215340556; 589431077; 809432198; 510041711; 89732982; 915151321; 259348603; 841532195; 1036573315; 603154624; 765943724; 836226152; 489087773; 1009766285; 90111581; 761998129; 571699883; 122418714; 529149788; 365600899; 908834671; 163857369; 130761979; 1007348368; 626325102; 758756606; 1042288495; 293682729; 505585887; 930228324; 776304474; 745934357; 540637036; 863837585; 997209082; 593933805; 753094564; 660318325; 167248597; 792164457; 590066740; 984810286; 480710937; 688425652; 68300134; 136009136; 388992089; 806824207; 468481177; 267421975; 145793113; 402289599; 302862859; 284412383; 960023029; 583754462; 323662636; 3157954; 221834796; 787401057; 1056655456; 107111423; 290421689; 638822311; 27507717; 304295003; 238615853; 551468042; 11188933; 329288888; 44850109; 204345160; 721123264; 258277381; 871322075; 1025735042; 270110610; 984640332; 502920415; 330471096; 179354624; 270049604; 565992901; 813748821; 131041446; 674190814; 994094899; 833848738; 184138440; 726194920; 809560069; 798788952; 1069930903; 685190077; 636813942; 577987999; 848888378; 492490128; 32226228; 583254763; 278550338; 398267600; 810457848; 447304337; 814170369; 645877681; 425278874; 615592950; 489324407; 782638020; 505643085; 917371222; 711839671; 18572635; 111136592; 596708455; 622233589; 545055368; 136526839; 1034418498; 864784301; 225902976; 914177670; 1050015486; 189333267; 115519676; 696290912; 1044357137; 1023050177; 202361476; 1022821711; 656692831; 799657322; 498443934; 448202720; 395678335; 8547899; 205613840; 50397386; 152625246; 804816005; 974251989; 337401640; 849104983; 620975310; 951052317; 759339930; 347685878; 934886823; 908517971; 1046612162; 931876617; 319533423; 770454835; 366108780; 283586047; 495828181; 104919855; 744464481; 624805787; 300418927; 822207375; 260134863; 805065962; 182102809; 779283241; 969704446; 839101135; 456651200; 280500923; 565051463; 981635099; 125488385; 934035104; 359807619; 820155957; 1016397673; 894087452; 562562974; 124938051; 68225550; 374860392; 1058296594; 253694671; 123682823; 404276216; 411480546; 943200253; 102475195; 230209491; 24350771; 906298437; 690590755; 866172046; 1053063579; 850644855; 241091378; 436942683; 305256792; 281950276; 377960167; 641601693; 496027503; 951396088; 594070012; 101440175; 715205226; 221468451; 402576480; 201908204; 164390622; 596152020; 351458863; 925289121; 406167906; 449559108; 432819635; 529217415; 219719111; 561634785; 1042437932; 621746382; 1025776828; 525444289; 1060154098; 804467411; 1072972887; 484202311; 545011465; 186317505; 924584500; 990348593; 144404879; 921308433; 374581922; 805597604; 50233014; 924953579; 901584085; 114870929; 643878455; 998299120; 224713075; 317140419; 100387478; 318256539; 420993839; 96649236; 240582895; 701983049; 982543481; 568725979; 560725980; 504196725; 759516290; 619293229; 930263945; 978603919; 469904089; 321659418; 577369336; 623956194; 282977253; 967347408; 574706240; 462788641; 517057467; 1008144614; 994153788; 279984976; 549979940; 472375820; 1025424798; 829460256; 1049562204; 305236517; 734926678; 1059952920; 621351685; 720307054; 620371161; 300850074; 127657196; 681448375; 153060690; 73760273; 338230509; 76418457; 255337019; 891956783; 888241713; 500499155; 297444536; 765005168; 74105181; 400031672; 92203830; 968438663; 326784666; 731283758; 681245132; 863046969; 224576908; 1048173289; 72174051; 941866884; 963065215; 964453220; 669011003; 128128831; 388973351; 461926612; 87904352; 322748995; 300522699; 881585380; 175900179; 653854274; 722698006; 763582273; 187319981; 156137587; 236939832; 829002952; 960936593; 413545850; 999420095; 722905584; 709277673; 258138884; 573580989; 101582319; 411994572; 905211673; 1003719823; 1026680507; 916015055; 504978259; 528925282; 658211514; 1013270928; 739095871; 287482415; 901459182; 246802459; 763878774; 350733583; 1062518660; 829243823; 412413117; 521795775; 490449994; 293876980; 310866341; 132230736; 232795060; 718128982; 955824826; 652663317; 892285975; 450938817; 553993904; 399596868; 332346413; 956688757; 635576788; 529865898; 830865924; 107901316; 895891144; 164722302; 1052206976; 993029144; 817815425; 610268564; 1038695326; 450004997; 322513363; 305696661; 245722933; 677504437; 707090272; 989787287; 713393634; 702962817; 594813042; 259736712; 730460062; 18933899; 202056762; 868247363; 97530182; 790051293; 653206489; 588620475; 187628746; 69872022; 696449442; 510129971; 798013746; 632134529; 211484019; 528404842; 51645638; 875224252; 869932675; 896981612; 19702393; 60721753; 536340065; 351460526; 911332519; 331897186; 599940897; 901705423; 980764848; 35432127; 893183690; 72185931; 953108984; 271780755; 905629359; 207556562; 1049423319; 769492083; 847341500; 254931727; 66591083; 171284664; 726222790; 1057261439; 312552440; 331746903; 67844597; 245521045; 212802009; 682102706; 525125216; 744857358; 751762330; 494176172; 1025486253; 256629490; 995594130; 989996902; 275666913; 810561321; 995844845; 517865085; 788872781; 696386358; 173123539; 68010859; 37199811; 985606963; 490274428; 473353201; 383804004; 423800757; 602955166; 569791375; 734513318; 1005584533; 841559817; 611674082; 760989642; 892495842; 1023990562; 324676209; 837136351; 1043215206; 411570039; 1017775411; 193558114; 21548298; 990809292; 24883953; 1003792973; 283298708; 83388182; 814610081; 852654047; 733073120; 142781257; 85320515; 1061380470; 848810015; 75125573; 954482517; 564508922; 629438597; 631153914; 950179939; 897615974; 390576895; 715983163; 677041883; 111920792; 310490532; 93346970; 588015105; 384202799; 257984166; 257323460; 35066492; 301914107; 675951824; 785747020; 727515187; 341073783; 363449483; 310186372; 732042173; 163776474; 556230222; 592952640; 65127288; 450786655; 761245175; 370054852; 223437012; 857620723; 971100763; 267659752; 411913126; 264938991; 627137577; 1068448327; 503768016; 225465094; 765089232; 612005620; 433439899; 118979354; 928695828; 622364276; 725455282; 201196551; 927899956; 604726727; 895558046; 345875175; 52689346; 279632890; 588213227; 23005398; 495937743; 799370973; 170613772; 953189867; 729605500; 518236448; 427396152; 48237923; 656773908; 427314032; 1044125263; 771859808; 284902333; 673189650; 99023536; 659097221; 370190333; 72855925; 1019163525; 680283344; 586559511; 875566888; 864382190; 487513585; 690359854; 553582172; 903851940; 901155008; 9494829; 361553142; 1018676356; 969233215; 257876599; 816545818; 1015724130; 207576256; 573532933; 642344456; 787964626; 846715508; 500305320; 214331182; 823894916; 265750058; 624226605; 511485270; 475772928; 271566164; 242885406; 980129026; 690474623; 663842586; 862629793; 172054678; 933234384; 941589111; 197386290; 425863546; 467074025; 27941036; 597382355; 398639569; 74937220; 94487445; 732491962; 666712833; 946499517; 788576123; 180779964; 231593390; 397955703; 939086822; 92669286; 916766133; 904012673; 929480747; 285349567; 525317945; 1040129756; 886089937; 888472441; 397798547; 832659337; 466120543; 55341649; 691397873; 102060526; 901042413; 349633340; 14323852; 29120566; 1067538555; 497061110; 281951241; 242251949; 172410863; 12551950; 777233721; 79929186; 79414557; 352365696; 999170800; 84142333; 635251238; 184193344; 282041497; 262398265; 540147119; 607817498; 569048296; 90829280; 819965699; 772728968; 965456238; 318319845; 465319331; 424674329; 298272803; 780563344; 1054977832; 865013713; 910594958; 502474973; 905844881; 268530514; 401723560; 163213641; 190809900; 699947439; 1014323247; 934374496; 348215001; 68901911; 94072381; 881518505; 1038606905; 951338040; 795621654; 832000925; 683122439; 749820660; 558372601; 908525558; 212070682; 151219827; 2466933; 466526872; 373415086; 810866862; 301098080; 1025272601; 375978305; 198755635; 237958216; 185547721; 851497099; 439486851; 539966589; 566367548; 649535739; 296167892; 781231514; 935128417; 194895984; 985058079; 723813228; 258221412; 369071475; 171867123; 500809367; 312820022; 307861052; 151721562; 409563088; 543949941; 945813010; 93916629; 1048369976; 658485299; 848720553; 965416993; 715039884; 468547854; 866323555; 160417649; 1037766151; 260184035; 910207784; 144254399; 879855363; 747235138; 335522454; 60704612; 122897830; 73910300; 689317418; 704457176; 410018106; 508553435; 561690779; 1004017103; 668507490; 328513012; 876031167; 954991248; 1019219611; 535938578; 578718391; 255625376; 871338848; 866811822; 345836031; 959545683; 562244373; 66817381; 680234300; 530538702; 530988958; 886197349; 956539466; 441381163; 452064477; 1033126926; 460927923; 219218377; 133548685; 424420647; 449042310; 367152132; 502996844; 866853734; 131402330; 19157144; 181802661; 993296695; 75306464; 147755585; 440479982; 95844130; 934084616; 245416273; 167236042; 301457678; 671284819; 868302628; 244989253; 422591855; 534663594; 863935785; 574593836; 608150300; 868851622; 255996667; 415311947; 331797243; 784422299; 173821121; 557548259; 714331108; 845261166; 959832994; 24644610; 554139145; 458975744; 965773513; 42906943; 81523991; 472908710; 397432713; 182009585; 588932960; 349963157; 222332563; 790063143; 106026177; 418384349; 540689502; 48670703; 679255772; 573489308; 120149351; 783373700; 1073090803; 1029840886; 1065331066; 669737901; 562580297; 1017735029; 825106202; 220831278; 348958552; 174923688; 718386756; 448193361; 454392862; 958473082; 370974704; 732090252; 708497379; 851784978; 204330548; 470647725; 312326047; 415875893; 798906059; 551580246; 572402094; 350027743; 679386967; 511085698; 931211103; 277852155; 1045639513; 707221714; 379204567; 173498168; 259217171; 27146788; 219830934; 302310596; 792273559; 106988431; 367420880; 210973139; 508933702; 573667973; 842838912; 932860809; 833023852; 765339556; 866569748; 190976401; 295065603; 396874188; 792263094; 754142081; 736513372; 907088672; 644835243; 7577190; 975648571; 375202436; 969744127; 1061203377; 588364026; 535379936; 320016698; 284454260; 6368240; 676091254; 87709455; 86903230; 373540923; 466487708; 345540445; 1008700417; 905318898; 501559758; 244476504; 732866986; 373093235; 276930627; 866875391; 741924007; 346348233; 380580966; 793683672; 502331992; 700620862; 228316673; 310814813; 628156892; 926520412; 196035612; 549156757; 255422044; 534909509; 302820420; 595499720; 511589319; 1072153159; 533117055; 206083408; 152417062; 659534294; 731770726; 1018897072; 172371892; 902093208; 916478614; 978691354; 922125922; 768394246; 408210309; 733187859; 849338886; 265278480; 415128990; 790679011; 339137918; 169908412; 552778954; 575168288; 1064910007; 391589527; 141984611; 88580264; 396563792; 24677234; 834331675; 514940490; 210895113; 804340408; 428232918; 384679039; 480714820; 728427953; 518272063; 576039355; 764205543; 204899442; 612315739; 144631376; 225824455; 43609238; 647715892; 598230771; 675546273; 269037459; 528071283; 117489002; 933926518; 840020164; 651473022; 413322763; 308101932; 800753926; 909343405; 990109175; 228449369; 821829343; 128840532; 82328503; 630298523; 322484743; 937381671; 405373233; 440698323; 804702330; 238953599; 1039313867; 57427195; 340634852; 352770454; 981329171; 410072191; 1049791367; 593282333; 304155625; 5971194; 1048000606; 1037062120; 87573409; 1013216083; 106664967; 604246767; 452330619; 836999808; 553196334; 1055044290; 35666987; 363608153; 58281227; 28076617; 131955847; 482951404; 877802087; 276552221; 207872800; 73157327; 102771108; 311334650; 643186188; 867307737; 643372773; 1060536326; 504928650; 226254138; 955556614; 263897449; 349670371; 996343246; 1042607811; 809442027; 1006998996; 922437699; 126483569; 348413787; 292970632; 855681018; 2578534; 852662791; 907015579; 1014018208; 1027896055; 118899357; 2834657; 1013398723; 1064097443; 759613060; 142045226; 344598195; 406390854; 731591631; 924966438; 694502676; 856118217; 758742301; 714937038; 657792769; 813987863; 488583746; 370290609; 487688393; 541515614; 14898332; 885095326; 5703889; 1000258933; 55866408; 652783548; 556783169; 733895575; 520120846; 108902530; 284412287; 242161147; 777394193; 175803105; 1031921906; 857730398; 614968440; 592998129; 1069627061; 311259341; 286818807; 303360884; 1032238595; 18463112; 735256050; 263811532; 955924188; 55339249; 1041905293; 67712979; 110914649; 24538242; 548822628; 609289498; 296015183; 967984727; 380461021; 109950305; 428788539; 890738407; 859787480; 591929216; 967600973; 38597331; 96364543; 916676371; 115993199; 854690133; 975767025; 774316698; 985682142; 702646366; 85289936; 676352450; 969473815; 623794895; 704137935; 745550619; 919976263; 48811521; 883677023; 89992357; 750309237; 955487836; 53976883; 411473157; 78991708; 299486863; 631211827; 417884676; 149212532; 335767282; 25207340; 823143494; 843641154; 60657069; 115872207; 1012768535; 614644486; 86408633; 486139057; 697546035; 670600319; 788531356; 284320934; 494257946; 994201273; 671604368; 804687673; 964485857; 47271644; 941058829; 1030253396; 263756827; 963108399; 886813561; 606808226; 263913168; 202625881; 335162690; 79282171; 584195883; 620605210; 797680083; 109749173; 668666621; 500595150; 567513748; 530768509; 898940978; 813436805; 797669481; 1041723576; 972537015; 1063851957; 867999250; 1050537949; 913486560; 490981235; 951262003; 416953517; 265716417; 549448660; 440518756; 989216347; 625584477; 674772162; 790253831; 157983991; 636061286; 588161285; 124869469; 982388971; 841591471; 899774483; 21601786; 1049307701; 426051713; 1007842680; 78976095; 948301503; 469398429; 789302025; 389839119; 830300659; 634015469; 839382310; 99978277; 807364367; 842304013; 140618338; 807890771; 314448584; 487613033; 112297004; 565666615; 476968150; 181876321; 354232976; 528995804; 186887166; 232535493; 452971067; 663648678; 298795946; 865413789; 452464135; 367388632; 432435618; 840294171; 68534713; 414951040; 512547512; 186855473; 358811829; 463466199; 218914333; 466887265; 853756008; 577022123; 205304919; 229709159; 953605135; 104279005; 953688917; 288285592; 945223845; 624192192; 763656006; 228183823; 823876472; 763550699; 771207190; 1053144394; 613721363; 188514898; 318824949; 957495825; 974471120; 146424262; 846362599; 671907169; 447388022; 565422033; 777565797; 764709576; 702487993; 368738040; 1073076499; 874544840; 490834348; 408964106; 656465424; 590050991; 28227494; 264712276; 714010677; 882635432; 161443717; 645158892; 656112368; 784619130; 755344038; 384427613; 378331387; 554914450; 641234837; 279822521; 1020918705; 1070767399; 699088413; 605887085; 192442404; 424465265; 261487013; 838862945; 1001560152; 245424118; 1017620256; 225925786; 369013826; 76516928; 777712949; 486149647; 482282216; 186144441; 449504889; 783257375; 69209200; 211586688; 648034928; 1025353698; 616501768; 364528147; 189514035; 424898072; 483313586; 558642086; 321766743; 449983191; 911636759; 474608009; 804908860; 208244703; 27869855; 660328938; 199588077; 136548792; 78294016; 118185062; 760641295; 834276263; 678775535; 745598902; 325745094; 443008222; 905431372; 668527821; 79873767; 130281148; 675522753; 668854328; 220156027; 413515060; 983913742; 299435886; 987910929; 656168866; 672649123; 1004429776; 907893433; 380399194; 671068744; 397686572; 157574658; 292300192; 924029551; 1040909443; 1067875580; 352784513; 1034895218; 950057010; 714900760; 528550870; 227740049; 189871126; 981763902; 914244652; 213818701; 182872754; 51095610; 510028068; 222857268; 297555851; 3147192; 85108030; 875112026; 584468176; 859071096; 6915732; 315925859; 1000913890; 850596180; 817012259; 664286296; 507420812; 147388854; 282174468; 263063183; 494185769; 345840525; 788713703; 865308601; 992038359; 189911718; 673720355; 988363943; 387267757; 500578130; 652998725; 256649704; 891730829; 884665127; 800736660; 268023573; 148246227; 468828357; 868537508; 803189812; 638481288; 338810268; 49764344; 193956906; 872021787; 303172306; 359359255; 907990980; 166855727; 857962124; 246572945; 289159299; 154646169; 948490757; 775547692; 660491299; 672894149; 733609621; 428934230; 148570635; 726060555; 629651361; 1018303236; 249929090; 511897085; 145555255; 874684727; 594746304; 998377751; 6622893; 723767486; 1042866623; 27631697; 377573228; 541974585; 642643557; 637545860; 680840038; 398627718; 174175768; 452594819; 125662709; 489100265; 461459037; 255319054; 396684987; 976107547; 385067574; 772713143; 555447739; 807015613; 349359867; 1063925995; 919556182; 174360808; 318168653; 1002478270; 60417660; 485110530; 1053730384; 124618571; 452906335; 923196395; 399988436; 814932071; 692371323; 800192794; 275548163; 454677342; 256362442; 60308371; 284892504; 89196522; 616599931; 82136639; 511333605; 95549688; 256695623; 170097223; 674410475; 727946054; 655505387; 686943836; 391580908; 618983058; 384682659; 897891543; 461940643; 1068263480; 210372440; 38833167; 556878256; 882837992; 284671542; 868557146; 671121108; 212193817; 388117066; 781463452; 568376494; 618655505; 564758033; 454926608; 506777587; 331300489; 437129103; 629792580; 18062404; 1037537992; 209942609; 133726038; 900169351; 1003144584; 923575048; 99003881; 705453120; 441806371; 65615306; 150951888; 764904851; 606689015; 70334748; 989243076; 280155946; 1013459850; 751888282; 37387834; 973346056; 531673978; 412715330; 71610273; 610226668; 77685272; 174703094; 376118573; 658419442; 447622471; 9403434; 543546935; 166474250; 646762694; 338505209; 627322034; 1061338975; 580429424; 22236912; 564146611; 771588633; 125873852; 686112509; 159259263; 779164069; 353278221; 950205337; 335068185; 239500926; 437373647; 852374765; 1064265121; 1039722216; 563332834; 96633733; 109310518; 666481518; 354187057; 1039893108; 780203344; 1008595635; 700584160; 15824300; 546330379; 662305832; 157484830; 328604394; 506096162; 921790394; 817404842; 515793743; 601417768; 573467422; 47032071; 972338377; 1019681066; 407484521; 171595508; 495917408; 719453851; 890701289; 481064318; 819905068; 694445412; 277156809; 621623059; 1035809848; 520147924; 882479296; 800761389; 812398233; 408799818; 686236996; 876959909; 280818610; 419718298; 736295091; 162559473; 509503476; 1024756269; 507163726; 627219774; 331527315; 1042466203; 831379516; 761996147; 507228287; 147341649; 748492328; 155006223; 626578349; 304614213; 836821291; 273471260; 538817401; 637791217; 702628911; 381216280; 542556265; 87997676; 1065852964; 597915438; 81980258; 128100206; 213431869; 352847038; 80475419; 34187961; 132843486; 972442388; 281784667; 617100728; 972689795; 918429886; 1070079285; 657129536; 909594646; 683308217; 586463260; 677274799; 838639558; 810080995; 75909845; 321457585; 640124416; 645586978; 320538325; 346341324; 259557826; 256059071; 685027131; 934296440; 25948339; 1028449331; 314256499; 79933738; 40099155; 977258265; 715220092; 257048708; 580549375; 324197507; 316484581; 798155971; 401714462; 222606634; 264165856; 628077737; 400093715; 526880628; 443954286; 719010958; 213062535; 254114120; 430441009; 299603340; 811956009; 1042067447; 80206933; 34465045; 705099512; 544373629; 375932939; 663504900; 270854408; 518010679; 676144334; 571586369; 412692272; 856715172; 383729714; 100014914; 256725988; 717200163; 824707411; 286856368; 966455218; 778777712; 1060176649; 380166663; 252374898; 165391300; 176636025; 728496284; 942115868; 930956892; 1035291420; 682257638; 429531955; 915401811; 424195890; 586295605; 1055642140; 899397959; 364747255; 70114350; 390931343; 556896230; 534659505; 858207032; 37651765; 240798869; 265011075; 194464853; 555756474; 580986871; 531327640; 1033127096; 65579452; 763312835; 834802465; 639281030; 839310732; 623087726; 384434622; 870398495; 92196169; 606731519; 539381292; 635088554; 213037846; 322920545; 947020862; 8751877; 915863777; 417511231; 469494252; 400783387; 574937636; 128942383; 1014254857; 529832390; 614649849; 380472167; 156180829; 441377542; 895831774; 933081025; 787705714; 1061330093; 863770774; 723487138; 366593534; 971766891; 673238200; 782311783; 371928743; 247425441; 48328919; 106131792; 270397064; 186467055; 515718673; 482439545; 1022210011; 517165019; 212323370; 747993149; 663945533; 19199024; 193809026; 545168917; 963153127; 544617830; 394924349; 613928576; 132927470; 469515678; 856394013; 966518276; 41357131; 144612461; 225302934; 78526455; 949323758; 604614235; 100771269; 420451843; 200936542; 230496019; 1056386874; 313936767; 57748340; 896609739; 176351834; 511096593; 1037673073; 580946013; 155318765; 973990475; 635750497; 710798693; 720222330; 431340350; 21439668; 359218899; 237941905; 336080970; 768160000; 936852133; 785500097; 396021773; 605181051; 519567857; 99415519; 970570849; 185159019; 521273597; 751617576; 666580841; 736524368; 961898936; 776546334; 927569235; 729085550; 235546638; 991899723; 362445880; 282232130; 790368976; 144136484; 861122263; 915108324; 360493798; 654194243; 416011682; 223564648; 766341436; 735851638; 336731903; 397014230; 513359399; 913968741; 194068285; 375337392; 459794735; 388855337; 8317004; 898337210; 762056099; 83618012; 423565111; 849648522; 172828794; 524802140; 560221257; 467068587; 691929454; 667195554; 590673975; 917737709; 368255787; 154178335; 161052836; 804271925; 362822168; 508823752; 664455391; 768527600; 869574129; 804498987; 490736647; 303207966; 488858268; 890346033; 764697761; 937238479; 546059837; 61171089; 869726333; 962455173; 29140765; 958132084; 583102614; 969016196; 202521792; 981067974; 835455902; 59488639; 916494044; 511432925; 503428961; 60254992; 824188660; 64841437; 423821171; 264938073; 214498620; 712267379; 585216251; 954765333; 579270555; 934450968; 184195363; 1038416483; 902265129; 1059512106; 512809295; 226225729; 242195876; 989764781; 120255845; 1030848498; 632658621; 440052550; 506651059; 510082557; 319068242; 773528719; 365084192; 371262410; 501312314; 966069594; 52218765; 1025886602; 377240795; 687293844; 218624300; 1055023678; 587934570; 441869395; 58495815; 1021665123; 86154743; 520902142; 105494847; 359549309; 593562570; 314873774; 1050276634; 125002192; 29426722; 543389678; 1062915145; 943742313; 440274503; 386627712; 258439360; 284140427; 478100750; 21308193; 261477716; 1013548871; 426262043; 679360124; 362208932; 362011888; 720699707; 482538940; 902628690; 151968757; 59929105; 882047165; 526176058; 241906826; 318473643; 470997119; 520614346; 989110129; 727591335; 686761784; 65182628; 769067115; 722357270; 51816379; 190928652; 474726937; 997515008; 950204762; 826669962; 874405701; 91259759; 763570799; 100835574; 701710150; 575632336; 446555878; 376440475; 368533607; 1036592549; 708887758; 926575028; 169584131; 645385722; 554244738; 946395900; 507836667; 947698698; 746106681; 967458787; 1020335561; 810872117; 512581694; 296763807; 199972646; 213383730; 238212809; 921538308; 506751327; 720691128; 872863235; 780535006; 48745264; 474991266; 702327719; 1001621018; 935057827; 476316869; 1018219619; 574527645; 636769790; 710227065; 452516827; 281048116; 622796923; 230243569; 141304784; 237748192; 645296438; 909852255; 115013403; 741135334; 370042024; 464588272; 310568942; 637210403; 319257089; 796972612; 107657191; 279433209; 574217251; 1070830666; 226534673; 53531408; 1071519753; 713456519; 933120640; 561337818; 255856930; 221950410; 348190485; 664549907; 104742363; 388792611; 580822862; 742451872; 969976532; 316465420; 902160932; 469031122; 538814017; 113499152; 308583822; 755335487; 631383007; 110305964; 609215047; 913557769; 986712840; 14128199; 133060548; 986270958; 554179500; 241983589; 540418241; 318381861; 566039368; 1036134220; 787784365; 404236394; 442804337; 513602907; 772981032; 650551451; 824146930; 1036964439; 780159814; 353605361; 423140068; 209961451; 983944677; 670842215; 246186557; 432779714; 925817568; 712546083; 363848268; 1023249202; 15818147; 638625172; 478169209; 10009856; 964810535; 552260982; 554677125; 678446174; 488391351; 819692313; 110040934; 428997572; 432792175; 600206181; 779429594; 690996118; 30372568; 600755296; 947950817; 988992568; 710545275; 789982165; 130327674; 754666784; 578665885; 419849116; 737929686; 655877396; 22451603; 606632915; 727425548; 1056589952; 1020252017; 784392502; 289660006; 416168336; 436559307; 991215252; 64150489; 511263871; 1006586699; 387855369; 770020782; 545146295; 778392267; 122150817; 292781340; 402694285; 196709962; 463405432; 344146029; 1033304789; 645241402; 483126691; 899316932; 546166422; 907417266; 181420965; 806861140; 734142891; 1977043; 1019252325; 1015336668; 232821115; 472637998; 648330535; 584947772; 603641043; 24000473; 486489501; 390019224; 124356076; 434366428; 331688500; 856175954; 700919092; 555649945; 871844070; 806158341; 563785796; 954777707; 495245404; 469063037; 1069872000; 734615147; 19377971; 133084209; 532146062; 407585598; 782189655; 798531106; 438609279; 53996371; 875887826; 325973530; 657736151; 497391918; 785669; 655499569; 203617265; 878062453; 441563151; 490525400; 914055868; 259822409; 863930823; 353717925; 107129104; 214128262; 574851634; 502565872; 336506354; 14457420; 53091664; 836604139; 975716471; 777813361; 1045599666; 609611833; 981468250; 997508052; 1071753956; 987719730; 983222142; 960181865; 41943832; 312189604; 718456400; 901132439; 83966832; 940362457; 832688227; 842898368; 629160388; 99792376; 435432933; 463473857; 870324476; 66137374; 1031873132; 774905217; 836187262; 77226635; 518187715; 813286451; 699740497; 486877662; 1023830082; 174839283; 785727221; 607840239; 475352579; 1041675231; 149935673; 143495375; 402998065; 969568137; 877746386; 1021170843; 981372300; 893944409; 581562282; 414409791; 225397404; 331144158; 653963868; 2588217; 165453608; 951156980; 168911412; 943748034; 862038207; 630692262; 673537868; 567870422; 233707276; 150958324; 914222764; 659658040; 580123695; 43178388; 475569144; 792591386; 419877964; 810362072; 215708067; 204849338; 738235936; 1073237835; 111377478; 956838164; 987890612; 239596471; 819535284; 161155890; 1057968936; 428743006; 655468052; 143682348; 24876051; 860738840; 799431788; 923188015; 935293529; 134415108; 145923111; 851176757; 762491494; 737015241; 442021562; 929451483; 734103700; 406642653; 317329601; 603360660; 851965759; 283942946; 313798978; 555207106; 692303986; 766065469; 1037560645; 746419281; 660173717; 650470043; 979937372; 5456557; 627676223; 802230749; 76786678; 338850762; 756257912; 702393578; 454334506; 279594964; 415510564; 170315227; 499635115; 636419617; 98951201; 854441433; 36001438; 651293896; 168790561; 896920497; 504456282; 60538416; 1028499666; 268312563; 913941032; 203999081; 113633496; 248877855; 397845456; 23482907; 642431230; 869721178; 951676809; 1047734247; 7099097; 332983883; 291019972; 557748606; 112273289; 725121022; 344414747; 1005646146; 917336778; 831653315; 59209582; 691197991; 923406361; 99226323; 92530915; 290034454; 969942370; 351208893; 747587587; 664049086; 305972712; 1047631914; 891843039; 631429431; 227189670; 597252059; 718798317; 571086578; 193838252; 286385241; 629404502; 883101205; 450221903; 34800504; 637773258; 297226517; 206362010; 223149051; 1021455800; 975664509; 836414495; 236935838; 782917279; 976099959; 590401458; 426586718; 808200822; 246906972; 267245388; 232812484; 746696007; 521960644; 910267900; 239222496; 395655212; 758862372; 1063021853; 115612524; 70025971; 824265312; 274774274; 453796057; 905574908; 360628933; 88886483; 825212867; 524827033; 431605078; 587075455; 12363719; 952938882; 43315926; 650821855; 14068767; 76890662; 249613233; 9296190; 126457114; 346501315; 841734667; 316344519; 1063434884; 955505737; 728617771; 901373920; 32459396; 83640062; 628884014; 310293857; 759165686; 780984647; 317709493; 810345719; 690653574; 820587887; 573660797; 204120379; 43809550; 10513860; 903188514; 807503734; 411355814; 518721561; 504910739; 44575337; 373648565; 20363020; 252681661; 1042789022; 947934006; 106008242; 880490404; 310913420; 981306358; 637612776; 575546829; 300812995; 808017883; 374819974; 526534534; 517349865; 245633831; 326746134; 14132372; 356746648; 534307565; 340245684; 307039019; 1003208136; 205536277; 1018707389; 701584754; 173337717; 320837290; 126368478; 386652825; 347716462; 976915978; 513778349; 41379960; 803432039; 181989260; 192017270; 236782402; 116112608; 633499708; 169930388; 1000842843; 497825814; 589329955; 371175245; 191550791; 999709390; 780301728; 303118922; 585715096; 478796081; 336634769; 664751784; 412950794; 423435591; 57103787; 251445432; 399681106; 232615294; 143937853; 236845526; 284687697; 664155415; 332239960; 915508035; 303886562; 516239395; 397294365; 31734753; 737363077; 766646443; 237557835; 704625758; 183359635; 847925084; 170155535; 118437358; 646562870; 376084002; 783009606; 158042943; 1021697682; 216437589; 378779860; 1036814465; 910990122; 410888198; 839288593; 549606217; 946363843; 621884749; 160694351; 381311637; 106643493; 364918094; 361595679; 548451987; 92537150; 848692265; 91944290; 388434775; 879071184; 834185503; 617530900; 150641658; 496801933; 677626703; 234263585; 88380218; 441194501; 614865158; 58789506; 508007160; 1010564740; 254210967; 845096805; 393642386; 64998078; 404995905; 778145148; 714458501; 940850053; 335681324; 125174467; 1018574619; 641923292; 129960657; 74710010; 637131543; 336295128; 156756409; 576410351; 89140672; 847166888; 211206192; 979019873; 778932332; 465870588; 184428485; 469623669; 1056412062; 132090426; 516202825; 849168309; 1025129607; 1010220905; 792591931; 287991891; 45047527; 14224711; 885273455; 150808728; 977137366; 869985190; 333296991; 100598981; 674640905; 802254153; 765526001; 817887619; 875033668; 61977092; 911815620; 971435205; 129609156; 437737522; 249102960; 490537626; 82207733; 625135877; 445474609; 766452145; 550715523; 611413835; 106928346; 353480876; 989572904; 1020245735; 832500252; 529673361; 40530219; 656372451; 1004498329; 71602080; 792369429; 452416336; 405236914; 1066354535; 1056703160; 938497154; 758781634; 345262717; 1003158603; 4774902; 557553751; 690976125; 709215365; 460922408; 282173982; 741999561; 582520786; 803251118; 1004520453; 10694902; 887086376; 180421876; 911702518; 528458560; 121254710; 491978939; 819934931; 394500830; 1003806077; 859878450; 884424921; 174484973; 476395989; 121902108; 920296690; 657066782; 476619759; 596041723; 940206394; 55716620; 743180238; 142084233; 1037976517; 184338302; 774719075; 69761392; 655147185; 356787923; 590320393; 470057784; 517391033; 191390022; 450630446; 991571889; 377636608; 734537938; 176516433; 659676774; 237134181; 915676283; 773971603; 954413374; 1031995421; 121413756; 27649897; 520326478; 21037214; 399770283; 950508841; 790661444; 1018040983; 195594468; 658678468; 614805725; 1047363364; 1027257144; 290807956; 487008481; 872004324; 437539966; 568804098; 243044379; 380439753; 830792897; 475432808; 13964864; 385821842; 203153774; 75335669; 815137870; 529253706; 840371306; 718175709; 662411777; 1029406833; 656491388; 805796714; 508214258; 22851522; 275078102; 831329330; 163432617; 957258926; 342459511; 978789306; 682195735; 778814067; 910087700; 154355783; 546808885; 651496396; 746636647; 145533714; 98632495; 884597900; 752554047; 648542138; 264765264; 863921799; 140260418; 267692791; 338208994; 1067603254; 638851967; 250819222; 672860279; 958986991; 56932923; 840396523; 943183147; 520165881; 175405704; 57880248; 491913206; 819234239; 790630835; 468697956; 540012872; 666735107; 558652316; 166811795; 624779428; 813504486; 582360319; 120112737; 374757812; 1048158373; 166231769; 491107311; 245957300; 563129116; 707248419; 165006301; 265237348; 363596140; 966560169; 538139997; 166127029; 900953105; 652815668; 424067441; 106815110; 279071789; 524341416; 44099486; 193829753; 900542883; 864946065; 831471369; 555470112; 879677336; 489325032; 733275457; 685723650; 145704377; 768432983; 583239236; 29175820; 347474542; 1003657487; 787758468; 621866692; 297001920; 45610008; 233337038; 6810536; 839640665; 8153734; 850365815; 399814413; 988022722; 519348635; 970416629; 294371930; 335379063; 377042947; 385122987; 213908554; 484533747; 475905135; 704918816; 5660954; 588792956; 759687055; 744552718; 156790625; 716445190; 790433115; 497931691; 696597824; 1065256542; 911079236; 773691544; 495395003; 215106189; 528967539; 352340618; 668084633; 377604763; 598420534; 454364843; 204423842; 414733839; 422980236; 1023305223; 125610217; 79664585; 969285124; 691147489; 632001708; 522225901; 960654904; 2771869; 379035400; 41849494; 526437735; 959076403; 230434464; 761888279; 880504131; 167454923; 92036651; 586115939; 184085372; 425737219; 254376062; 40109065; 362485911; 901485822; 142993031; 471243731; 546035562; 1007317725; 127065089; 990492433; 681038521; 818143625; 380635804; 980027681; 737134244; 152336771; 1029190374; 1038987267; 445687457; 1032659034; 985448405; 412406558; 618783847; 1064048565; 476434973; 655994164; 728595622; 178278347; 344887547; 557322863; 665458149; 729242455; 372206553; 783181771; 75886553; 109974793; 234116019; 625300815; 160631820; 801588702; 163089441; 975650064; 449278801; 1022202242; 692266462; 291139461; 906442023; 601814884; 277508039; 785402275; 477967654; 1071544031; 887079229; 235118193; 499730609; 279875178; 997959231; 288012157; 817930147; 537083496; 454369627; 1039083271; 792820005; 1041990029; 978031; 754295747; 894556021; 976373691; 314239252; 328148948; 1054519121; 97286898; 873916167; 186154233; 804993062; 422723630; 219062805; 660799495; 804871580; 415884623; 194110149; 217579537; 807271415; 926654443; 866191454; 82643091; 585696181; 767719422; 415283355; 946106153; 820576761; 317743554; 609123055; 897952043; 317358858; 545197015; 290676401; 845577460; 268007206; 425817322; 764275051; 520390468; 855289161; 974336474; 667997833; 515691933; 1020604372; 1007392609; 937387693; 431338902; 614715794; 1052928726; 38619015; 1000559997; 863534718; 258342737; 810727180; 447394082; 648157611; 469953707; 907145142; 296236785; 573679990; 216828775; 926301926; 1040192984; 839884923; 211376259; 453143182; 284894996; 803635395; 854250995; 1031008182; 76985509; 812718381; 825442639; 443715893; 1031750643; 34819454; 672342521; 667685087; 52946296; 543390599; 486966867; 549656743; 504349421; 621660961; 95729311; 143943145; 723548888; 260335740; 500851834; 303422272; 1040910023; 350433310; 855452903; 217999686; 881890400; 812612673; 804500661; 77786448; 261339171; 262636197; 667241109; 950136451; 940410201; 857232310; 138173037; 476807724; 1056883903; 846597453; 538117389; 849876627; 434836665; 182890409; 721635666; 225313442; 656206474; 999641256; 420798452; 8688124; 792543975; 680332344; 31052062; 23959272; 595363349; 699688099; 394881695; 328331304; 947399397; 850803240; 44316323; 943181913; 19565368; 928345721; 717451908; 498825949; 473726849; 185537261; 50486287; 252354372; 277780271; 254663327; 313722141; 492245184; 1073298827; 868981266; 700126565; 236755120; 198818198; 1013138822; 525618052; 1023823575; 555678143; 469379262; 412361943; 798735426; 606783255; 342002604; 482396430; 473757987; 273835518; 961054895; 272736367; 592372868; 528839698; 280349472; 753871413; 546287575; 705297962; 1021107506; 916155912; 1001898264; 281071461; 363855773; 81422018; 613815883; 648777642; 791378639; 621622159; 1037408467; 447174942; 1008043101; 586260579; 934700365; 746525485; 623272932; 930653355; 835346220; 849505154; 355911120; 1049747210; 437912669; 810965042; 822834733; 25619771; 211180552; 1013236411; 106127736; 606217055; 103918508; 633427454; 507839050; 24977322; 241670717; 432859192; 574267268; 571557235; 129693216; 122300796; 634987013; 117017324; 188371198; 921162804; 994200350; 662241440; 1053619243; 237536718; 639450949; 528603296; 1001406021; 185899563; 152422028; 15701939; 233186624; 585477193; 515678066; 11079526; 754273857; 1001065385; 914707169; 985227328; 525058428; 528298594; 50972739; 157376257; 136146978; 999402130; 49947923; 172813296; 101125167; 811945731; 483374053; 579770718; 783266575; 374956193; 714239504; 389844317; 1020167704; 322680334; 693182878; 573934899; 958199773; 944277365; 1013720683; 365898603; 947791731; 183104023; 808245110; 923786247; 71376146; 280121053; 593410338; 641553473; 232221693; 514865325; 326127972; 1054051450; 883260810; 105433952; 1067509042; 286687394; 509892871; 741661835; 479848205; 213292546; 249179113; 374405369; 729980995; 586021214; 45371679; 297948161; 667054902; 988597045; 170771820; 434662686; 989797728; 686226851; 103494166; 695078882; 820051382; 527100504; 908867149; 370767067; 353226210; 194561385; 939783365; 389364536; 648045168; 1011587188; 315910363; 979334357; 525317539; 79389848; 508706194; 162358947; 20391531; 382781710; 1032382465; 848873878; 437621697; 438607656; 166588852; 474774569; 403688143; 847654132; 236436699; 137232665; 555821965; 812844835; 435897140; 489768374; 874842625; 905863012; 73823147; 642185462; 695527734; 610438165; 728677202; 1009234978; 835550910; 979475719; 509157832; 357984154; 58993674; 661708423; 370714159; 422957409; 11518844; 1051317641; 1014691465; 426170796; 230300326; 441981651; 16928624; 498969309; 398984120; 933876441; 604117228; 228058794; 688245057; 36963605; 20866443; 380395452; 904589184; 849298270; 317162799; 140256393; 194086695; 707131789; 42723193; 11558269; 975154097; 984195609; 223272293; 195959091; 781681401; 42538361; 768508814; 146440168; 1000426730; 164771910; 81166198; 188742566; 1035817491; 366262833; 880648839; 18111674; 176221660; 1030591692; 455936012; 631644461; 350964956; 460989351; 1047415374; 716304813; 487933867; 858550608; 831111252; 993019793; 976275473; 370021713; 935698339; 966822278; 243442910; 968056238; 366504250; 655443096; 796101826; 104292648; 959021615; 38073366; 16701371; 333102910; 76798831; 396407564; 122520103; 740118222; 471925911; 259213090; 724936423; 753130535; 832485429; 597257904; 890448860; 808467594; 465865524; 101531844; 1062515691; 204606508; 851119409; 51243823; 202525506; 114140122; 87689048; 279222971; 112163916; 333297516; 887265920; 651375741; 679739187; 201375751; 163481186; 911361867; 259411206; 427180545; 370653563; 48325828; 599425650; 743296828; 60257231; 1010422886; 764687252; 373303486; 562314721; 550226941; 218308069; 206096376; 741988592; 482809747; 143262157; 181096871; 702183767; 325532005; 136293884; 597167168; 1056266520; 906697575; 1058050350; 515473441; 607354416; 81741119; 207906624; 1036144898; 875886944; 473601379; 821273508; 251827700; 1066469568; 382583617; 137110733; 738150362; 951898684; 474231535; 501597327; 831938934; 183394536; 1027240182; 715447297; 99476259; 1060534689; 894919362; 433782910; 167984269; 630807198; 993877394; 423268003; 123829339; 292220075; 77105980; 492493501; 547259145; 214548134; 411512803; 316306500; 538285588; 270811008; 154904943; 898270649; 327939155; 735439021; 974883683; 969148136; 244578207; 753216489; 288877859; 1003205724; 66566958; 182348025; 245005779; 344679519; 1069577443; 602232529; 908689057; 894144967; 805798093; 217916646; 1060384657; 244552772; 316210847; 287871637; 111048479; 15131166; 684759620; 892559970; 59348018; 843102894; 1029200443; 210498783; 90711946; 704425415; 476132707; 455936738; 88410147; 98331237; 497834390; 715405912; 938860216; 542575958; 538087439; 988651385; 382180275; 716439263; 421492995; 727105802; 991083970; 514417556; 119249008; 818211872; 448934188; 203547935; 447434584; 924385578; 472857511; 869332066; 835257523; 730635775; 517156339; 206100437; 81833693; 3373703; 327034604; 726596277; 64052494; 754877151; 595131441; 1048611700; 380194777; 38442129; 650150957; 730737799; 602861722; 136151162; 49210770; 19163971; 463670193; 481181557; 26711277; 822974302; 1024472725; 832376165; 488726944; 151583774; 648481566; 827637598; 606379916; 166530384; 680315225; 555474502; 695649552; 1072993825; 716681012; 539582410; 428878088; 661557997; 551468315; 810158585; 499020007; 92700540; 21871214; 1059950863; 477120096; 824120019; 1033346978; 790545134; 988330652; 227068621; 615528093; 531698570; 928286025; 744296368; 463596879; 8486883; 460634502; 624899834; 450579365; 798936998; 604746476; 1013383366; 435036502; 142206519; 535440493; 749351032; 992596215; 130413058; 478704630; 828755789; 354864107; 51840862; 470371795; 599636056; 235029308; 543603433; 449322336; 197157855; 1064161941; 875363080; 585446722; 1060373286; 546389918; 742466169; 741381473; 402309587; 673457678; 164278775; 311543454; 1045308487; 172709726; 996802406; 1011732971; 467068456; 890445980; 505093205; 225812013; 795531307; 244660391; 290365596; 944065862; 884585170; 601219876; 436853934; 52765374; 473834945; 542447207; 219459553; 697830749; 946409215; 581930046; 993405218; 434230875; 953508519; 659161176; 78775316; 50045901; 601969755; 25287974; 302212727; 915627716; 783723677; 647341934; 209064743; 452806122; 900247709; 861703371; 898716582; 2008710; 589300829; 19135577; 732774667; 996696721; 465690602; 665038627; 156681504; 323002355; 75316737; 690265460; 988146111; 793004644; 974431842; 757581675; 671696154; 177059814; 838491096; 1039828297; 106936397; 37651923; 978223237; 386310543; 177360506; 777796787; 778186100; 746118528; 110027474; 337038244; 324369752; 110783664; 598816536; 781454869; 847759023; 973879510; 173355450; 399199228; 680186972; 474124562; 171981385; 301201946; 920674410; 580937066; 91092905; 771222949; 809749797; 753504407; 168845589; 149957775; 854879654; 1051794711; 887423996; 14231697; 223717588; 195539018; 148625201; 78301126; 78391557; 634655753; 94889905; 910688101; 809482025; 933383570; 869740120; 370806298; 443065194; 145604045; 986472990; 980487771; 169478711; 961445434; 947309524; 62385582; 468745094; 712408773; 477360431; 732707186; 724889307; 71430511; 61838559; 651839279; 569570109; 841691125; 647992299; 940711306; 780307331; 872561511; 226196837; 918077619; 666180375; 23210670; 640957302; 932438897; 1005915646; 836732420; 953427204; 1036059388; 311930697; 1042172980; 815970150; 528123908; 509694023; 172434297; 733104753; 894029116; 341080451; 326837443; 927894322; 374804107; 399030184; 248128658; 938188703; 795680983; 261686510; 21345881; 527817179; 405698785; 872777981; 727066967; 622898126; 464235781; 840060693; 435384141; 567642248; 641381989; 406787150; 576574579; 1058593585; 702017087; 533829404; 27995646; 849163267; 89545322; 651447795; 460264886; 226769079; 879350485; 241864043; 445206381; 1068163875; 82205052; 421711359; 189167988; 270952626; 580262745; 1013733116; 717549734; 361536642; 1032140892; 613291902; 156722329; 729792568; 796736422; 437945249; 796137830; 630875191; 1023764587; 721820403; 164803090; 967382443; 113896658; 1055060703; 452574162; 64033002; 476843152; 24782301; 1061559188; 653689605; 840734260; 296052244; 604381840; 1037980554; 1008784638; 572322081; 572486089; 262608728; 970873218; 746735506; 1030523648; 1046324083; 188496074; 172898375; 331985688; 488405628; 558342512; 777785137; 170944744; 153611721; 760488899; 820414833; 1016104423; 863154308; 31068388; 258838951; 337186347; 677382402; 432098391; 488691227; 276171175; 950319234; 104919846; 260721720; 968308436; 881976798; 381792647; 895222440; 62298039; 108160130; 698180648; 798328555; 707948759; 112106200; 143060048; 1067521643; 124043142; 886338627; 978066812; 1054527100; 125292950; 7863521; 209188459; 734332412; 560563727; 329983051; 1016893920; 715036796; 476937140; 393298530; 421327614; 375280147; 78753723; 105646580; 23391943; 344857034; 973245363; 913019835; 279240882; 218131808; 820099736; 143973596; 950554338; 106036042; 742299686; 180530137; 987825120; 868776132; 73296079; 297896505; 839377613; 1059560615; 998105977; 326240254; 740896308; 740899912; 76127043; 864550509; 694642824; 494139528; 143775923; 830895821; 95995643; 794393466; 459064643; 537520723; 920388356; 1047784269; 752095320; 120498471; 36502361; 44997696; 595094395; 1060298867; 1010478499; 762518048; 735085508; 782267486; 933168352; 1033754954; 454586202; 615130019; 219906586; 395199509; 265279550; 959482768; 516399922; 585888343; 387044236; 754394226; 397472638; 998412806; 19412152; 555253974; 811742117; 147926550; 245666213; 15303374; 764279224; 532577421; 194286261; 273682103; 789449028; 447994034; 153744475; 464426892; 995949695; 49531372; 610341611; 760025938; 685152928; 868737087; 1038264467; 389982375; 557682277; 168558424; 873579297; 569777041; 187241969; 888674705; 427755460; 375303307; 937670202; 87394076; 377432897; 756502846; 527659536; 706005810; 493859226; 957683949; 1028849740; 325075838; 644793590; 231055491; 1069427084; 515244528; 595369991; 94464717; 1013626466; 474297553; 43025810; 398028325; 425219475; 33621842; 966765720; 583884906; 468250176; 569277157; 757143251; 610848197; 360139656; 832862041; 298695957; 724376598; 319441001; 217176124; 945954909; 695399113; 1043080331; 28611570; 776475942; 264650763; 483963408; 626531391; 4547407; 44438304; 737596423; 106914818; 50807748; 460324131; 287005157; 58645822; 1038679022; 257870309; 381415555; 751784640; 1071057835; 188769738; 446385936; 305722463; 676202606; 152112347; 571352364; 313589780; 626612786; 887652999; 210704003; 762457315; 280433666; 8255483; 1048324336; 405432616; 17039443; 576998618; 715104505; 311603849; 285593154; 338167039; 265883640; 7996946; 238762932; 817415403; 340604608; 61670278; 1044243562; 332357950; 917773654; 1014062137; 581270009; 847927772; 285487592; 962513792; 464847204; 678674696; 811018735; 7093726; 123292513; 50927161; 631182682; 1025884403; 924744409; 214291741; 499022858; 717579391; 459262948; 386132837; 156930667; 147225225; 31490306; 593825592; 1026113294; 131612703; 388566776; 604842557; 110215480; 557202671; 881599106; 581077100; 753680143; 411818917; 335076289; 799448896; 41109527; 725537922; 186257120; 42279715; 652095614; 1008153727; 171074792; 405525418; 503310615; 823716694; 144372587; 117942023; 265810688; 828309882; 252595585; 924359940; 237116008; 595580385; 349192080; 592586880; 541920827; 649273377; 482411460; 144481350; 771452231; 261560244; 194911501; 766035026; 929102602; 810988683; 1044071433; 784735367; 1017274781; 545870946; 165509239; 379571933; 962238104; 398594301; 918028711; 361239734; 109090935; 798196528; 369597772; 425050738; 905579227; 373379794; 916694319; 925538025; 1036778766; 422579184; 898513001; 362947898; 719750419; 1008798512; 372989089; 779920584; 404727713; 677500402; 467603933; 835699161; 549247240; 982780109; 1056371807; 455421386; 43895929; 676392424; 818210477; 541103174; 756245731; 281649878; 956556056; 947167218; 1048983998; 16305498; 771148666; 1029216451; 708812150; 615477751; 388217259; 612465100; 772351900; 121518477; 754710578; 730918008; 832402386; 45053072; 998602888; 552233047; 1045018616; 669840788; 189558343; 195904271; 552822734; 118232632; 385035789; 103337856; 423897390; 571828377; 267929069; 631919858; 60023188; 968227072; 840875947; 125685181; 577189745; 734456263; 536103642; 774484686; 911393324; 831810009; 945647715; 669506935; 1022262909; 1072458695; 971082841; 221238812; 1008391145; 64645307; 269319324; 106051196; 670569524; 793214697; 1007067514; 873714798; 96121632; 412468709; 552990064; 363487641; 959519413; 788793981; 175951749; 524644203; 239718294; 79780886; 747288243; 464428019; 81780292; 775551301; 302876185; 832990038; 714807109; 584856214; 615577418; 1020085940; 921877703; 553128290; 701868894; 743870939; 1008400733; 827978286; 1039832453; 582903303; 1050663237; 1016884674; 591134573; 108178510; 576485993; 1053810037; 692068553; 277902744; 376185403; 557107936; 523768032; 908224271; 657728540; 179212136; 633689678; 649101009; 727715572; 51200297; 49528209; 917318873; 882119270; 666867204; 828774626; 302046599; 702836058; 437145846; 469963789; 976808612; 117547726; 1040021291; 270661980; 412830218; 880828548; 34414094; 520839212; 890626826; 88760381; 792370819; 607227589; 3309683; 340060610; 78570843; 298407619; 742767353; 290633344; 1064842101; 974498698; 886617832; 162733670; 115930204; 827481583; 683159903; 46222068; 738989407; 16209258; 978439772; 751325896; 951436002; 252954757; 779898367; 496489887; 991585947; 1007357156; 79863144; 141576438; 994842582; 270197689; 932666648; 61507395; 546021722; 574247031; 948175094; 476192105; 24343323; 94010146; 623191874; 514309564; 199289444; 838638934; 484659255; 188102934; 546544862; 950185480; 559269822; 955048051; 707951432; 150096544; 586884016; 763529079; 829171953; 649523839; 699769214; 332488587; 108486657; 32994460; 605722775; 426686775; 428416023; 140652408; 202521525; 434986333; 735920989; 738596133; 1042758246; 109298458; 901004915; 788179203; 1030311512; 948236009; 344617636; 548107389; 696616962; 286417091; 798875155; 936229121; 63833003; 238948647; 1057386665; 331728443; 304641695; 483907558; 440223135; 958915005; 372965307; 574738076; 286250463; 452418355; 656445044; 120160044; 289336924; 592466634; 929821273; 722241379; 416428906; 190553290; 86718651; 614835172; 435261606; 34309205; 990591542; 5631059; 687433562; 410692437; 534194911; 625115372; 1003469409; 912371574; 715136777; 956940841; 339284305; 846073769; 512241343; 586654475; 123577170; 238697456; 1009653102; 199660270; 903020459; 34211462; 585348908; 748071722; 328095390; 362443249; 547907145; 210278406; 809652; 903446702; 665218366; 86711492; 712114959; 1021232436; 37269997; 461463053; 541451725; 988858332; 952714859; 569735481; 346180535; 703639309; 395422579; 185824641; 894247615; 563125091; 740384650; 371792154; 612104391; 765433775; 17453889; 718063356; 203446836; 171956078; 128853099; 132678499; 806035167; 984688181; 799617459; 91111240; 935391656; 752181073; 910745778; 161612903; 168245364; 715874926; 1049720249; 576733559; 238262016; 75885949; 56008476; 182560315; 100813193; 715350829; 225624001; 868545145; 878920269; 717026007; 463367592; 1060612316; 36908814; 477333314; 225773902; 291612818; 585595271; 444830137; 743981646; 911864974; 29224880; 368024004; 865727746; 448672977; 1027606010; 659100218; 452004004; 32869125; 923086674; 326417622; 697794591; 279297053; 744035340; 945729460; 393274659; 967207136; 649488097; 746354366; 996118894; 289290001; 935709068; 245727170; 800134185; 1072882542; 1023404800; 347499215; 285870825; 25947717; 911522952; 1031961646; 143795115; 7132376; 247003805; 90497171; 304751162; 312555700; 443948030; 451390672; 799776214; 659144630; 505160971; 752094524; 362374392; 748180340; 371424071; 186799516; 604617825; 705779945; 98949693; 600211; 983958206; 335931845; 115346472; 298271125; 80667001; 192413893; 367062774; 470157617; 841023732; 815241080; 955391965; 588999166; 837986854; 880265503; 749721446; 791773611; 102210204; 28272613; 944730768; 241655301; 220859263; 499334425; 533291240; 67493278; 289636972; 572441059; 868043878; 809347002; 490623642; 601456560; 387501907; 666741081; 748888128; 517461724; 169002740; 433484957; 145710539; 771403486; 257006840; 1046071347; 658040404; 181729364; 79928055; 97651046; 525587391; 226315268; 354465697; 1035911737; 1012302167; 529215842; 146084976; 954998559; 963397249; 871565322; 398003990; 174954144; 824098304; 66076105; 502694975; 1065813602; 514978893; 1049106207; 931875677; 292274738; 135576081; 923007127; 789428910; 564682830; 426457164; 1007591565; 1058107537; 104685108; 679179473; 256481245; 132391096; 1027457260; 713585519; 342200572; 1065366950; 580932084; 561709340; 879514328; 815377766; 321600134; 737673724; 644848877; 549614967; 942986695; 556708185; 880128029; 193378045; 417313625; 776032944; 1000075199; 599234099; 90067108; 713467249; 240844917; 928471690; 168356307; 346204196; 158654566; 807555883; 60275297; 1003339804; 286986285; 620905442; 617255478; 229657675; 889788624; 619896983; 20359584; 308035582; 332172076; 723613655; 672161715; 243542556; 957160623; 890159522; 373651290; 779803115; 433932326; 448314737; 400176479; 1005780801; 633425444; 738592173; 1042786373; 964926630; 293941567; 71748029; 227676413; 913385726; 94367483; 1069183649; 766798102; 187845721; 273050374; 993889229; 225677808; 262229904; 746418926; 95648323; 261333602; 847535427; 405238061; 749001742; 718285647; 675377116; 395895753; 122000714; 64202668; 311212278; 160777457; 384702918; 674025312; 985289281; 50339657; 189116769; 689957607; 38164210; 1071085859; 505176187; 85222359; 293158515; 480029489; 390996855; 45639872; 972230584; 990916878; 997284735; 29439794; 240977145; 685130719; 55395487; 433410216; 119099207; 516271767; 160155811; 478356836; 256674624; 952290417; 130523233; 824078041; 575205692; 33387678; 271763899; 684195315; 538285436; 284840700; 597981519; 209596416; 365093515; 116548974; 886293352; 925261371; 560461834; 843877242; 967266985; 565481118; 847107140; 346140256; 481170393; 701041106; 432991412; 497838838; 371090375; 733682250; 709964891; 232028074; 144302159; 31912689; 942531722; 518824700; 129449768; 980618597; 10771768; 1047560187; 513017739; 923683147; 501328519; 940637765; 508285814; 238535353; 635490459; 764727286; 559511521; 577693389; 805704957; 859051231; 869586153; 1056912628; 848756651; 806446559; 40061360; 1063397413; 433709410; 125257635; 923525274; 631746014; 376472866; 509720302; 1003048031; 290645987; 986279537; 577933634; 1052895539; 946909630; 843830888; 844950505; 624012401; 1028088445; 948556728; 483552155; 719512024; 717546973; 694041497; 437059313; 460489576; 1054119436; 971891506; 41164887; 531104911; 720010498; 769414759; 597842780; 94116420; 907598805; 98625545; 637365660; 481267900; 135674025; 580659274; 53889230; 557526393; 975873632; 483405988; 641349025; 433559764; 991328476; 801034964; 497809647; 1034149993; 857564432; 256288337; 696149658; 299027195; 225333129; 754323012; 482868893; 422380685; 90419834; 378293958; 359266969; 448834251; 50005267; 30480102; 120627542; 292143254; 997629518; 777221699; 938057184; 383350665; 33238091; 884733424; 1006002580; 893529570; 992865095; 886759304; 734464962; 199543373; 78494500; 181164333; 1014111523; 308266715; 442556393; 631079355; 680693043; 222939687; 811720422; 196671329; 673709228; 470632190; 195642868; 797717933; 968845976; 622658024; 974947341; 222944351; 921228997; 984596861; 683527923; 378106837; 982481652; 612602153; 123001437; 910849762; 675072567; 139261918; 810197205; 995522747; 198913820; 691791820; 246266905; 797291244; 1018531913; 943382328; 915628080; 172532884; 1007621903; 49830013; 307015626; 902765933; 318713707; 78429373; 19193956; 567958980; 439744106; 888831560; 928880575; 499952655; 304779878; 854918768; 285783450; 101371169; 771845712; 903422615; 946541312; 600623878; 104488574; 264469353; 946781192; 572859155; 717397496; 993322314; 10973904; 46725925; 955390120; 715142554; 553435475; 967020717; 874337731; 851865325; 419376990; 317133955; 780980197; 976299257; 274392968; 659359860; 948171962; 243971045; 39980322; 113861818; 203449298; 554625153; 150391791; 84762469; 1035222156; 908201597; 756061981; 483027332; 598819411; 1019974708; 283239007; 1062369263; 231899098; 674662861; 1000547425; 166608207; 948978058; 738910811; 823114115; 63581025; 24844203; 513041489; 390349466; 1151387; 881260259; 350115695; 1038439030; 223764287; 840917782; 292793836; 625154308; 578040652; 860879678; 295994673; 275220642; 139854654; 163919718; 78585768; 139722906; 518028508; 187978100; 130918329; 1012523144; 504000702; 393102920; 657102531; 557397065; 322082250; 148888348; 715988648; 530346217; 455604579; 189021584; 867573220; 321436293; 272348297; 911969934; 346225377; 142560260; 1005801655; 986177289; 467959203; 301128305; 140459518; 159363553; 1006097164; 457452607; 177927575; 134515824; 563147911; 1024510585; 433456680; 872475741; 896571958; 745245512; 353147713; 633115955; 633003457; 285048210; 801969897; 992973767; 997392514; 150137102; 1040880181; 517729782; 289142403; 1003563723; 65161748; 615179364; 840145071; 540655814; 684851788; 779786102; 1039901722; 4075566; 184545511; 244951614; 512987996; 473209034; 851076058; 411207029; 721171173; 145009381; 784176137; 609138561; 921405996; 505862194; 1043319899; 19743417; 83892678; 988028988; 188411120; 923266572; 1034551208; 118194198; 1063938497; 144673143; 904480344; 283754014; 589627661; 466336237; 1046516910; 1052017176; 387428450; 174167351; 140038163; 756103475; 647483545; 784275126; 548741954; 323074940; 530296565; 586869189; 889320092; 111475401; 123783307; 709564526; 29407555; 261017830; 529960196; 522054179; 85536766; 207807742; 499067972; 581758225; 148574481; 243564384; 579799731; 869629537; 284895644; 688762164; 705679061; 106996088; 183495576; 435819674; 45234306; 130156115; 574032148; 874419887; 63666847; 1003197561; 865928803; 973490265; 757206095; 545931842; 97519697; 806484515; 398670257; 63977337; 731328723; 68261097; 998605918; 895692133; 681748163; 855378170; 415334489; 547211172; 818285679; 913042348; 799038781; 410455105; 720481392; 132418704; 721988649; 435860280; 563804838; 102986599; 528956246; 707024128; 265259240; 839851556; 553046414; 627382126; 575110319; 264789685; 383042206; 178636784; 691701238; 536218857; 727076536; 751477475; 1045308612; 1042385788; 737169047; 831841691; 706166683; 487357097; 361999010; 960851889; 486583605; 872326218; 711027642; 501286004; 331214113; 905113615; 1011515397; 224451189; 844712721; 230756892; 1046607217; 804662784; 233030490; 525718235; 636725541; 894983282; 11054519; 121468729; 398721804; 566528670; 543334582; 551283346; 904258535; 835343032; 649258659; 27487625; 179161994; 800494694; 907857465; 930816369; 270409698; 875771213; 879294279; 794216854; 647820359; 720549068; 678146708; 357573934; 1041918539; 681399384; 569683077; 303687801; 1022960084; 501242195; 548169876; 221370112; 690802455; 268888054; 536782242; 601457618; 452261581; 135937893; 1032005575; 168854022; 16109972; 880976004; 199626212; 251661718; 349375076; 447946599; 469765331; 772445243; 1003774635; 912827723; 441095758; 19500588; 165951768; 587990315; 721064136; 747363627; 815884674; 935828311; 177285133; 364477990; 389629906; 444891013; 592713430; 589894072; 370851215; 179245331; 276302475; 37873393; 844324941; 264220363; 262081580; 9780167; 673570932; 95225383; 28734786; 978593526; 772805726; 863558868; 671871667; 130300267; 794153579; 1045859105; 843457756; 1061630671; 156930321; 834882998; 128470945; 592559679; 939605286; 707876341; 908676909; 21660738; 489503724; 409872091; 253816737; 826589598; 92718348; 56910556; 442174133; 443768368; 992127100; 312864495; 803362037; 438571290; 359440863; 819916782; 700135788; 1051581354; 588170478; 417904108; 693526859; 788829114; 766228282; 424365814; 898147570; 550643201; 202822846; 472975849; 825194441; 291930951; 130698374; 928655720; 354581904; 867609933; 738187565; 584495185; 1037271023; 902329941; 288316939; 72060747; 385759751; 381977587; 747140298; 855488988; 795595775; 1054287698; 810869511; 540446312; 880791831; 742002826; 846558625; 886961180; 598707185; 368000227; 911352265; 368523574; 353725707; 963474388; 746553033; 648584499; 1050160841; 981592494; 316805856; 772561423; 1022288173; 220752688; 993108585; 227424239; 793937907; 664740754; 673752492; 639716057; 700172605; 475943976; 814430164; 968393175; 449403747; 995839721; 392103818; 656983248; 838337014; 799133115; 280725816; 384057110; 1032282841; 879641353; 439827238; 621049427; 892464033; 952148983; 502519419; 257657539; 928905583; 188636973; 599918175; 108138484; 503905671; 328092860; 931917929; 113433074; 622734037; 410950432; 680107584; 798189889; 937772442; 968363817; 493691351; 112273862; 476952979; 262303877; 1012697878; 25532970; 518111629; 1026259586; 1050171132; 891785002; 190667628; 465873896; 527726994; 725201263; 322426604; 738021880; 751245573; 978251526; 717832966; 922089554; 808759797; 561591278; 826679265; 223155228; 341901632; 382686010; 520331465; 590915592; 1023892867; 726955996; 603950832; 574633554; 760574989; 309958117; 471278172; 628813229; 853578982; 806963240; 721647342; 71457537; 827166271; 686475120; 357413452; 4765087; 980875851; 935945895; 1000426397; 887182685; 805894360; 512823939; 626666169; 499388249; 321218731; 906730664; 1054835429; 416655066; 154671011; 492400875; 935926314; 273992419; 956276444; 722969451; 736849188; 1053650249; 574187750; 142944313; 213103138; 80019505; 280438734; 862787798; 1025398031; 321005932; 1073620965; 522449609; 126812733; 53100740; 283895247; 502911367; 235904593; 307905926; 987833954; 592331763; 217271320; 894824377; 718046816; 964113351; 1063943097; 724604549; 413937017; 795386716; 604926438; 1014296644; 885125123; 184605094; 564264221; 521625305; 1024332119; 1064199888; 915968860; 904294316; 34789989; 133602814; 261062498; 631714842; 151932222; 172072417; 935818007; 956702586; 32011287; 639306140; 229305226; 496063626; 313373497; 719271580; 621587267; 210908036; 179386558; 126587448; 770890842; 185247272; 671559674; 279544866; 862537551; 653669975; 40163331; 898916634; 544064099; 552137138; 881141776; 109626370; 590739100; 827442750; 763353154; 93858486; 363762638; 548286460; 102138459; 81860407; 1016625260; 997079362; 1351752; 432331781; 750789481; 945271200; 223295521; 397252633; 215569229; 211389078; 569294573; 334695886; 1033081757; 441710669; 440013297; 345599593; 520200134; 315560378; 25430587; 928312496; 184547451; 279202326; 830303581; 984686770; 957762775; 96182139; 19352845; 450777310; 439517608; 729690514; 508294109; 844393338; 1001569192; 933343225; 145396496; 446154995; 1017420939; 395386978; 267577783; 222131244; 783130050; 105397114; 981753510; 1040137173; 368455762; 984241575; 822978585; 995046094; 23658604; 432682526; 693688553; 657196745; 1019409907; 181689243; 912237844; 368045998; 1014042818; 282426535; 14174041; 761901777; 489755290; 321111053; 364613217; 468131483; 6439488; 701748557; 932475364; 494689001; 486402534; 121821092; 297086551; 30150109; 886730103; 390989110; 763195415; 396099215; 18975658; 822821395; 421987693; 388431506; 112630790; 829454826; 826276463; 226541395; 747175032; 415291301; 552194358; 209042840; 174364050; 38261916; 905995481; 514386626; 789803043; 1042392354; 181160431; 40840077; 469788121; 700762926; 117054697; 23721725; 299329819; 21400570; 465425170; 171191039; 427921946; 1067667479; 368202783; 886043645; 904345253; 1046977312; 159737698; 478737264; 584242659; 19841107; 269572671; 236922524; 63582981; 295328584; 766264629; 368936986; 568662796; 926961166; 494914607; 314444492; 875071992; 703825410; 990678324; 933650316; 284869885; 248400956; 528120369; 827486047; 547626808; 1026899104; 565942211; 368069696; 957089702; 413589963; 525023455; 1052191903; 870621499; 893263750; 36131627; 295261767; 948125964; 227661691; 53842552; 275649149; 855394606; 51628677; 15081642; 20544971; 442015314; 845437851; 764854144; 51497128; 705944827; 36171085; 756584355; 1070033668; 318763323; 679769873; 346346611; 1009523928; 400929880; 961542033; 565871314; 245102814; 826121192; 1022573285; 1021646421; 6006884; 988514626; 676237244; 288496152; 498533200; 811891927; 40462667; 817619205; 331756241; 171760608; 694758740; 271882506; 476484325; 196317886; 824228999; 1024631564; 909946297; 748539181; 801195308; 914453753; 317556475; 994427319; 574134379; 210022013; 320296904; 468376135; 479689596; 273592315; 695046302; 156186301; 537573176; 717056041; 209577890; 256211951; 818296712; 835307925; 775624511; 781252721; 408744843; 800148150; 664862467; 172988686; 774146342; 498474057; 802339735; 648879192; 966973374; 629680780; 607575812; 619301020; 387835203; 238023145; 91976792; 329189839; 870394556; 230915812; 788344981; 433873712; 159016277; 504931445; 379977359; 264625476; 1022763423; 588684744; 24215557; 883507709; 323252555; 501911649; 45854254; 292270518; 497199706; 6545384; 446070463; 160403877; 48997992; 354938539; 305196831; 738096138; 802860357; 724517453; 854248050; 911523444; 997125068; 133168450; 585307203; 966399352; 983735104; 612743332; 283368190; 892488976; 589127765; 518002867; 1029865016; 44047605; 941855950; 157578398; 729654622; 246462935; 318388123; 751363370; 279178171; 717083249; 793890566; 537804803; 372796786; 490925788; 298174831; 377509434; 850983341; 724940518; 389002217; 974869938; 922405245; 616828185; 422768805; 385534445; 470397591; 519987308; 807360355; 269811363; 352689061; 371310338; 1039479042; 46671300; 131153161; 422520578; 143365683; 99818295; 436679626; 94160231; 566702380; 571851448; 329713058; 1036226552; 472135694; 143741178; 284963173; 405872551; 452154012; 222408246; 830499753; 587830965; 710089145; 464914605; 450439218; 494942771; 305024147; 547521590; 816008388; 335368328; 636804032; 545606434; 1013968852; 838667629; 549684150; 38754394; 361512812; 390343362; 462255263; 527432628; 4201235; 1001732645; 922001235; 538180451; 829012486; 741000856; 204579286; 877146128; 772647026; 617584390; 899282454; 22235565; 550002608; 821396121; 570579306; 213345633; 63633863; 446082341; 117881389; 773674701; 1007225929; 628633276; 747807908; 622554694; 902483202; 580336509; 23332410; 738297613; 810585956; 466994044; 595419281; 560031136; 609729821; 322559598; 194780422; 743664379; 42084445; 779906816; 153318494; 449279833; 68305240; 252430800; 770692513; 644826371; 494499822; 375164529; 184317631; 994098343; 827022005; 953485956; 570300969; 8263018; 173538770; 544249673; 143179526; 22644973; 151263448; 771534186; 416851571; 832849971; 574215814; 43663735; 205845159; 611294949; 407896655; 405993342; 203379327; 828868046; 727459560; 421889470; 701483910; 33974512; 725929337; 686983658; 616957144; 588949574; 990822188; 400328582; 361220047; 1004333960; 481119092; 656395560; 599847506; 388121871; 79056853; 649646394; 803954035; 997252482; 41830747; 860797957; 441925654; 268271290; 639832795; 646335006; 935236091; 524648683; 664491174; 248325428; 625042176; 842735774; 414241930; 565001894; 480509012; 413800503; 212338889; 782529422; 44752937; 746205050; 860913456; 770411377; 457224616; 506055909; 100663128; 69816880; 645791112; 555424253; 986659708; 384007103; 618535843; 878266052; 663870177; 560105832; 901312102; 27996979; 649252782; 879751576; 454088608; 77298826; 54025723; 791283797; 251443488; 517971267; 614197981; 443937985; 527836832; 490833331; 80138337; 1069985936; 794775871; 608596688; 38268512; 155760393; 772119679; 45829394; 839024589; 848318546; 673921249; 162689824; 747467653; 722731541; 567440083; 493515713; 466120562; 472546106; 466300596; 141772348; 545728242; 863661471; 405654309; 393361539; 472131566; 785957568; 530399055; 1058224655; 699264208; 140702495; 616225082; 587158063; 1045651977; 194771373; 915149673; 321317706; 189429790; 758275970; 121370394; 9285349; 472510423; 75003913; 238206643; 15672187; 15621691; 623907353; 155779161; 783861743; 760207579; 43173056; 1014817702; 336218645; 827219827; 267440676; 374044099; 413766108; 111825275; 602497411; 1071984365; 745722975; 1041094285; 406840751; 762096010; 64362926; 980943042; 903243042; 725479873; 921306476; 788192974; 622715765; 696135779; 520355266; 646351189; 287566903; 1060967617; 484857771; 209020894; 276876283; 200073869; 43889284; 323326946; 777632132; 424892877; 858831409; 121533281; 292986751; 499356822; 162421416; 898580622; 276081201; 591746805; 938411164; 356755132; 748758310; 263691444; 445415003; 488039860; 803106213; 175379445; 328005545; 625201833; 185580432; 468046006; 479861389; 136126476; 287775672; 119953502; 968646321; 698427690; 883967840; 54425432; 993404952; 1248291; 431980620; 643510071; 563157487; 217528127; 79337681; 558835458; 803214313; 998436091; 1003937793; 792115020; 1047925498; 840919118; 384218921; 712334912; 717391339; 814146160; 687290732; 420943938; 653453781; 499963366; 983274278; 422942391; 422591707; 826691569; 1072549130; 134233382; 52272253; 561110555; 736489400; 70053969; 794188831; 8291679; 468950375; 904474898; 585790856; 829159546; 749262811; 715989681; 23301231; 10374434; 968439495; 683034210; 1026357077; 339076224; 151760759; 497775323; 597716192; 936845608; 806156555; 122368530; 837554238; 860736562; 173321089; 417788011; 170557566; 634696275; 189457955; 591162502; 213957958; 416993470; 988610194; 735765365; 237277122; 562102909; 340403636; 314413866; 769719694; 247710012; 86517019; 670901273; 586899090; 695510119; 698740948; 174861579; 902248395; 534539465; 727734048; 375052137; 175613384; 140605993; 242502604; 480600610; 111566040; 100915749; 655771606; 384850246; 39455010; 530841618; 17974543; 356981235; 680025278; 623669065; 779765953; 653067651; 156071680; 260333712; 209091314; 250016979; 374288027; 131783813; 82987404; 537636470; 191361540; 338123651; 332552954; 651544223; 498411622; 586338840; 171522151; 682486982; 917313458; 578175105; 288949397; 88501503; 453757228; 309876983; 465049893; 654141168; 568501176; 634843216; 984190752; 464905318; 472762577; 34865291; 879440268; 110549515; 414687242; 531104820; 87036707; 1014744415; 442671823; 944583831; 563873985; 475183367; 866556725; 994576573; 463310470; 119658453; 914517800; 911139681; 795055409; 1044688190; 888155541; 992163737; 184943682; 173446652; 695466247; 11119786; 90472574; 349200552; 444337091; 732786938; 689861040; 397245377; 649464043; 729008989; 655676360; 920927172; 381519800; 931665284; 520709336; 58947088; 597198326; 890496890; 676156588; 748448372; 773821252; 348569801; 693595170; 94212386; 978269198; 16403143; 1036927968; 1034301524; 748102880; 203293820; 383349096; 535156900; 137063199; 728151030; 723541666; 401278402; 706578192; 1044182015; 147483240; 157862094; 987198341; 1010294780; 1070105852; 1034373700; 1013994111; 246424222; 966321220; 1046223715; 721813090; 348278678; 291468492; 201569003; 343363006; 136043531; 787283979; 734221755; 450239490; 609924685; 1029299027; 920572060; 875019134; 754455917; 593199199; 532591286; 823626525; 932899616; 638970515; 492047797; 124316761; 462854127; 264497999; 245196297; 238383402; 428432632; 1060806778; 567065048; 728774252; 624810046; 223025304; 113107533; 486660045; 517597695; 519353702; 985437518; 374388514; 841704335; 246644912; 82620375; 714710750; 210979963; 519404233; 972561880; 992504347; 1009780724; 938423572; 557293479; 677152158; 594944446; 754367837; 330342615; 991478538; 604861254; 884795846; 22843051; 604414041; 762999316; 811324283; 550840299; 98693324; 823145356; 857740626; 84560695; 255746354; 436506925; 139082246; 490238801; 221025019; 987572847; 530553383; 178321853; 128704117; 1052513601; 460191753; 727718433; 123094535; 673915617; 1046240532; 500939996; 13985822; 895117350; 752809866; 714208345; 167633565; 710689204; 329334539; 99276674; 446864725; 348968731; 722080052; 821381545; 979259068; 93760185; 1052781355; 322618293; 177170160; 474131795; 197261772; 996277119; 219486284; 206461169; 286101173; 995213723; 171480883; 562510246; 357212053; 52672654; 974682770; 112859733; 1009421393; 673485623; 215939382; 952768366; 748637074; 1065653801; 504844509; 1046213573; 499663111; 929876667; 426353072; 999316301; 63926794; 155075158; 330804992; 1011709351; 423927512; 598001564; 963580700; 873579478; 823709108; 74693799; 486184206; 454007145; 425716618; 1005100261; 983473811; 160365478; 145410469; 785731793; 173873661; 871057795; 795174000; 1000010311; 502143758; 982950170; 838154645; 533330276; 332142961; 1029663945; 149917043; 11784571; 416788296; 144563441; 694790938; 273577082; 36944800; 582750061; 1029897596; 457485213; 755220927; 1000206130; 907350756; 443125527; 270803900; 91904220; 988306590; 957084730; 465740440; 449577562; 148215284; 92132538; 809337989; 458412840; 202480554; 401198412; 149909153; 610602091; 427868708; 373762343; 143879565; 798043431; 1063657187; 727339430; 449169818; 794349706; 816443178; 737518858; 634455480; 298732978; 734702759; 1007637473; 794173061; 291864781; 376947460; 416279055; 845664738; 455091321; 419047496; 120869102; 916378590; 947372387; 817381508; 45188757; 779816482; 427456612; 218685627; 585578293; 934187183; 469300964; 328294448; 570801640; 69730782; 942582583; 459820955; 318743063; 1033291479; 182554801; 230908105; 86660855; 458891396; 34068737; 147921653; 819478802; 430427328; 924313303; 169104164; 452433925; 535896817; 21740033; 184507584; 1021330621; 287721044; 438574932; 280454213; 5266456; 677600755; 309636428; 966167552; 540266480; 805357878; 175483319; 624645253; 372912071; 168003022; 666955353; 993215262; 290901897; 734307489; 20482990; 53394949; 341772722; 172258396; 69222461; 18564380; 92371321; 6228359; 188410277; 602821809; 291368182; 826799880; 146675614; 134144182; 1054339763; 103136119; 1036833865; 570580136; 123242826; 395799590; 115589806; 92444891; 369457261; 748949732; 267439233; 647507780; 1030835201; 551365965; 429773963; 927084350; 472309512; 683203737; 84239185; 279882321; 552929124; 319717723; 881104147; 376879940; 505101438; 286532025; 179741032; 463059193; 514812832; 495175484; 902183660; 1007310550; 522241993; 797369358; 536011429; 671153889; 383940391; 534577463; 959499410; 433765550; 174120677; 162747311; 543403053; 2293798; 294089259; 343964351; 909972817; 984456448; 533191953; 799224319; 606847807; 327236332; 953500518; 49713310; 837601520; 768693707; 24152746; 718108316; 944052301; 135706106; 653385903; 381804974; 699235448; 867191872; 179011711; 18666082; 893532433; 768243286; 459484773; 866825141; 28017959; 403671139; 974795462; 148637414; 555013531; 73230816; 728188510; 515512203; 17050170; 420564367; 1003882195; 243138412; 408266307; 607157757; 630360295; 1018013778; 914655249; 508719235; 51351713; 91192061; 729563485; 277590937; 823538874; 582717250; 686586063; 90340828; 597102279; 641990940; 724968082; 852769651; 584866319; 474682055; 403108791; 891545358; 996151990; 405794102; 241081696; 32628111; 308471306; 622431465; 669610359; 267855643; 207446276; 83461420; 167232896; 292536576; 881967890; 88964777; 43826802; 315268098; 1053267915; 492360171; 160669639; 490303452; 94063935; 849191901; 513634771; 202154487; 929786415; 21983041; 647819008; 1023584324; 1061677950; 883078085; 541880420; 645541819; 342479471; 617354489; 868139919; 881713434; 690804348; 757154578; 408712215; 753008178; 350627338; 290625474; 952625148; 852247340; 967180289; 910699042; 264362276; 304431654; 491251999; 202636634; 578702739; 930037269; 313725554; 232379566; 224845181; 817784147; 226250385; 774757560; 889761934; 628963030; 376041937; 400847024; 976689608; 658070547; 57150807; 561633566; 30032642; 201695665; 438431124; 87241328; 112515981; 576203880; 476592348; 742059104; 445875940; 1040909697; 335162522; 220679621; 638602712; 316377571; 537294489; 773206731; 392876906; 718778132; 778648144; 797304405; 210488415; 198439436; 261166632; 227326990; 807841393; 477348063; 886979962; 578634026; 982748136; 350431880; 23227370; 126548581; 532305216; 871903644; 1064552798; 75517557; 711583091; 191041349; 538442236; 614964653; 35372387; 681017787; 646650534; 793212194; 832422666; 777084959; 157021858; 942338499; 891224779; 60765304; 990799330; 323264086; 576917495; 640261923; 911240871; 695559627; 996909532; 493989892; 326971731; 1034014341; 527114666; 1043399582; 359857267; 916787494; 230544696; 1018331653; 744294810; 855736287; 978617718; 840446290; 21956216; 741540113; 233870498; 637953799; 605856795; 876344974; 720283014; 276268510; 822840957; 89136405; 92535115; 338832516; 115832063; 358608687; 448358281; 793541118; 149162311; 843902038; 227420815; 93850378; 145539822; 143320264; 210625438; 517912380; 557525754; 910526167; 647604175; 1020630966; 102990879; 531831127; 1024879085; 924288761; 757186077; 528755597; 159709615; 760602326; 276218879; 843842640; 978085372; 102761646; 683719330; 1013258866; 791598006; 210921317; 136973892; 843513906; 527076682; 991141809; 551408325; 986286669; 660927441; 53788543; 327375827; 683418678; 177216322; 1031542444; 968821967; 866114012; 503345267; 296746115; 4910603; 234685820; 409304191; 712689734; 1039719711; 887856956; 350699174; 224673870; 4151287; 509489096; 1039977111; 427562423; 1034003888; 858566651; 1033394970; 694393593; 894712700; 664610493; 849022973; 898680535; 315870928; 430303529; 494647875; 839365353; 433753048; 534323290; 630352006; 936345944; 18495842; 597187937; 360731684; 573275178; 208578274; 896986145; 406424562; 220574461; 815596550; 643970282; 257879313; 362956784; 119573365; 1021343555; 331246769; 1010043861; 828567000; 294969886; 643632730; 347384675; 1041008135; 1069560930; 109109146; 577117665; 841783125; 763516216; 623299269; 9995139; 317748664; 827635682; 187125088; 320990184; 28488138; 988452543; 383763887; 484696383; 664324392; 455128333; 768005493; 717705213; 476957238; 149488250; 477107492; 684057139; 66354373; 669706808; 362359594; 176834656; 808668881; 1064536364; 1066040077; 756327035; 668234116; 1053137405; 732263105; 913445952; 1050862338; 865663240; 26772516; 607436298; 708628421; 807713898; 957352797; 1023053910; 976523799; 655223872; 757581100; 1065747818; 511280378; 742827099; 176042522; 187985173; 338710829; 886244870; 159152478; 308440980; 137890321; 907041128; 1003246586; 21046601; 514693242; 683939282; 9864301; 519391176; 358139580; 282739805; 1041151695; 147481387; 527059423; 745879649; 424219331; 594877651; 19083234; 456404990; 464167203; 144868243; 332445513; 876538143; 27935907; 606487900; 616177233; 743397412; 722335870; 552060809; 12873206; 829657232; 1013502580; 199136112; 43307209; 685966385; 1058641579; 398560142; 503329718; 652650838; 467640519; 877463547; 841436610; 307097624; 846827709; 75243908; 366541949; 825522267; 716001026; 949134722; 76688138; 205785639; 1018567815; 524560383; 590867689; 537133644; 291059046; 32586725; 52044223; 172473073; 928629803; 159230685; 1009747493; 504625048; 1047597371; 91852814; 1023433819; 888663590; 816195487; 355707498; 1034909857; 1036535612; 1160879; 491302742; 869509445; 87439895; 488030162; 202158391; 408202275; 359154443; 1071603828; 523722702; 1052951880; 278221342; 400679503; 89596460; 1014765002; 419850088; 195848747; 401473645; 1025880254; 114913776; 698715592; 607984748; 483131593; 863467063; 667331475; 971961761; 1060773998; 892169737; 640646541; 803931931; 569813575; 818798696; 1039013073; 555229447; 22001389; 546985953; 41835659; 527553186; 250608717; 171218683; 756236674; 148016138; 680508912; 1023278284; 348074995; 414759907; 435629922; 143741919; 774019454; 773037451; 983136708; 530833943; 1070565003; 1011499277; 627996746; 234760385; 433990504; 737924440; 649998990; 315280235; 790521366; 901237620; 428363239; 1006999343; 231486677; 887273434; 850515532; 711628862; 470045213; 383439630; 858565800; 305684064; 535298180; 1006710357; 1009684630; 380639686; 966156251; 115665853; 788437106; 838039532; 518761755; 228554092; 440380868; 510308796; 446556273; 232385308; 49944334; 254689121; 201632763; 683412869; 371788627; 610216308; 895255473; 257862477; 1017205590; 428587855; 721267991; 428830555; 223724680; 836297567; 1038467393; 240970134; 48156115; 864569670; 726419803; 626668462; 481750811; 573970790; 995959458; 164062399; 877329407; 201155619; 541711603; 262777884; 359663645; 1056907266; 175941479; 960005291; 286204633; 478934855; 740524902; 749206807; 1005794803; 633832154; 492987324; 555150008; 616240792; 824432856; 533114666; 687525389; 1066491884; 780395534; 401810318; 310207021; 167492078; 184955331; 50517805; 18621226; 889920270; 143341528; 75937716; 975341644; 257192418; 547378215; 379015578; 55327890; 393194469; 314083957; 1028537054; 243179837; 274014188; 953003882; 104375480; 15994653; 944206620; 708660028; 286046936; 983631646; 496746664; 993606931; 185325355; 415198474; 979825316; 192254797; 1045994519; 1012213983; 393990187; 552892574; 724136366; 521799267; 114425556; 890633143; 812454807; 550464034; 238594641; 562749513; 611357112; 108811179; 79253368; 83599788; 819211726; 319881665; 631574111; 108281755; 122036892; 398966296; 429577530; 935785071; 164446574; 1046749253; 983182593; 562867242; 524496446; 621093343; 876595947; 359512990; 1046977273; 93534577; 1020300160; 994962609; 945779825; 583208578; 138486150; 819863323; 167854138; 1014572536; 477814332; 287287106; 254415366; 280661431; 913363796; 440968709; 538144362; 1044125275; 90078977; 573673418; 841426341; 425740321; 471129206; 738395567; 648604551; 25362104; 635181065; 94365452; 734835144; 824409713; 1048166442; 873480975; 519248199; 704679368; 925341818; 948331526; 938518348; 871843439; 921386514; 713235193; 61112259; 802900760; 962943867; 520752160; 783101226; 982768579; 68890362; 577263264; 533363556; 866280886; 598930068; 753961911; 106782723; 370353994; 629981386; 61931985; 167267879; 1017328482; 416967786; 773396212; 386420260; 571228422; 107101644; 139585661; 295454052; 353425541; 992576661; 796664501; 512666475; 594724347; 569250528; 672740599; 119472112; 722856664; 755346543; 400687337; 89386447; 578268625; 894215184; 429194136; 395387073; 296746830; 949951199; 502905940; 995863111; 1417991; 683711545; 53384770; 708039545; 897354600; 782599678; 421401003; 720323148; 335866466; 587136519; 587837057; 556267364; 1005233716; 737613000; 417932268; 221493173; 794693150; 363747793; 484932656; 913712040; 223158098; 398822020; 856689951; 357497029; 679630828; 1034859097; 314837487; 620236389; 913416933; 569575926; 576292726; 412380807; 489953121; 733513326; 902817017; 974253729; 991720294; 267392143; 407324493; 605388449; 38823599; 664738040; 529449525; 537777949; 362969883; 296754988; 1038195623; 446779220; 283687127; 927247762; 147038366; 1032927738; 886903403; 81127264; 612360876; 1015491644; 71424674; 837548805; 975419362; 558765385; 852218832; 90053117; 187071787; 131260535; 627992962; 1052486845; 653638959; 973261495; 729161890; 158941007; 215317868; 58026553; 910492133; 536524953; 310749489; 193255606; 934020567; 616669399; 495502252; 1033540950; 1000522076; 169142796; 191912; 775950019; 751198552; 310043189; 297240022; 505550704; 1063323112; 450513386; 724205303; 475077544; 133787861; 634320013; 1035777445; 1023725326; 19397539; 267280189; 498610420; 380771133; 669006787; 523586641; 293612781; 654951648; 751362660; 24763324; 579476860; 784855510; 328840059; 661425705; 695586662; 9472869; 598298966; 90533004; 795604720; 809822708; 539527262; 215365859; 408070295; 448869864; 736453003; 130361877; 822307587; 556711723; 314262377; 954245648; 917114132; 88745895; 177188052; 264355980; 439362289; 754511595; 225754422; 111550096; 241784464; 784458365; 425957289; 20766904; 955863688; 859764457; 878897717; 234513688; 578663897; 277217229; 238761851; 863122569; 445322131; 255683231; 239505728; 128457133; 1002188403; 717588543; 931616799; 542408624; 867984350; 535587501; 1054379338; 349224651; 147214900; 733448296; 604524170; 417660403; 845325329; 887596425; 266209712; 57712535; 820718024; 882126072; 50055126; 795393162; 908765542; 780375041; 585423203; 512993604; 820177121; 53320897; 26858607; 1035335242; 361645948; 373033196; 288302708; 576277372; 571752131; 124507945; 99141404; 326672867; 554985366; 84058287; 60467268; 179700381; 234935220; 25280155; 946302186; 450155080; 40485547; 441265794; 1071974108; 953109750; 347530663; 709768089; 67847080; 793853865; 287837751; 219669650; 187184697; 49816592; 624425849; 933440733; 556249483; 879102564; 758776324; 590179705; 574126731; 188134464; 648764921; 739493189; 385014479; 837296123; 364385767; 582705515; 461985778; 745795288; 70701056; 428893367; 52330267; 682771980; 49922051; 434313894; 101191786; 453167526; 471593043; 804716348; 576895571; 49009228; 1058446815; 744767289; 299395007; 1051024388; 541745402; 638179724; 531378091; 241620678; 543666208; 346391552; 363622154; 249849899; 395443731; 479323630; 431741951; 746214059; 921696862; 731400631; 1013776332; 190627299; 177414046; 571112794; 934221662; 26844797; 672052297; 859144372; 305592016; 505641804; 263603044; 634909841; 732447678; 514381669; 8832351; 585112118; 840173739; 942544677; 175738171; 582406268; 724858978; 917499126; 519333079; 127141429; 23688315; 471332851; 950678630; 899656247; 77593141; 127083455; 105740274; 848134131; 150268791; 666321816; 832147923; 461882103; 747171895; 821417936; 898101102; 576111865; 55760268; 396950114; 975039259; 693056125; 342097296; 850050076; 165553164; 592012472; 398041385; 222794058; 1047255020; 489523226; 340885812; 927916293; 478390973; 476325381; 159561923; 943056934; 624528366; 943202336; 426902666; 785510795; 774858379; 874154949; 1036707699; 610554607; 860557408; 342950124; 18909041; 1005301801; 392633242; 13003164; 712428731; 4754862; 473521203; 757756974; 268701115; 616584725; 618260155; 974598532; 533435996; 283884575; 635774537; 982484722; 741074866; 342872469; 27962233; 909203097; 494179065; 312609121; 813085924; 4670128; 939881188; 677395928; 476684487; 307288105; 770364689; 1030075525; 816133159; 754199412; 43086220; 837073099; 653630417; 516064113; 819930123; 999644139; 197814148; 583932609; 681772223; 322587988; 641360276; 248886184; 407557794; 564300935; 980864329; 1068493045; 392627600; 41574197; 1009746703; 351514254; 1036353163; 1024343049; 5598697; 848036172; 804957509; 58069886; 285382608; 568799215; 825404565; 19168328; 73714741; 808842379; 474152867; 370828967; 539590187; 132304402; 410321057; 800444508; 809872563; 233672373; 120961658; 85923766; 518025197; 795498333; 618719317; 1033342598; 636700609; 573695972; 869524590; 786273618; 622917071; 511365679; 189509028; 625126119; 324409835; 802477912; 1071107240; 338553318; 418375293; 243921103; 142924964; 290079780; 501120070; 856122834; 470033282; 506078801; 780849552; 755288084; 607939354; 653712097; 362596775; 62745536; 162295193; 883515005; 516201663; 87419128; 131366048; 498174752; 553412830; 515776742; 861427277; 787183655; 1012649363; 128716960; 523460193; 364408493; 557137109; 65073665; 926977391; 634762454; 268357990; 657507446; 720893667; 985335973; 587238288; 399227899; 104940081; 237693765; 317083737; 297160337; 71649151; 330186735; 141058430; 307971147; 439492380; 296595785; 810777290; 637832358; 108638113; 585824044; 501791327; 402058419; 909255890; 492431630; 184102321; 88936374; 458249153; 750064723; 586985428; 976857811; 1046287519; 1051019310; 587189998; 601006145; 812217389; 967777852; 538751423; 841746281; 344972542; 604080273; 547037699; 863560657; 502012184; 577362770; 249054960; 131672371; 963967932; 10024444; 187843803; 1054654193; 721414473; 804060176; 941649752; 383535143; 527615030; 467510772; 517398843; 1000290807; 395186332; 136514672; 10711186; 848850578; 976631391; 435219877; 377157702; 88376603; 376817559; 605746353; 564498882; 902512502; 899273976; 858677540; 106303650; 451262260; 6339164; 526343468; 417752146; 32755156; 7999093; 508251252; 263644676; 251703718; 11150170; 228621412; 226303315; 651240322; 965363309; 459051938; 516171816; 124080982; 522901395; 741574107; 924921100; 290409716; 288094403; 599918128; 13087975; 49018264; 351884407; 51431414; 726096531; 795284101; 402528456; 993967579; 620871272; 96776635; 340772642; 460214166; 686335031; 388683003; 597678857; 505516369; 678753459; 210942092; 1008171374; 246455765; 517059632; 503096281; 591517576; 86392655; 110978305; 559368414; 385857098; 1003141902; 775435945; 931640464; 704564767; 932193598; 97975360; 455224961; 7123327; 764602563; 106645257; 609154517; 583021012; 63913543; 1009380474; 659236513; 107004255; 882723462; 613904075; 562730617; 334531067; 571280691; 365793508; 773066162; 187628518; 284978383; 792478564; 308107846; 929270554; 111520886; 270770449; 1043541911; 1070584111; 783298603; 218733321; 237548510; 251537237; 259814009; 646304627; 305075869; 1067053421; 56735343; 123933652; 620264930; 872115478; 345991394; 406459871; 654441003; 381137300; 917838096; 468170608; 985913340; 738490482; 353260693; 740634362; 869281566; 963495007; 478944470; 927564915; 486759816; 920434913; 125456807; 880657867; 506341994; 716565627; 1063033634; 404512242; 349437394; 1003936861; 966351021; 434313123; 745470718; 558530502; 850843442; 296518847; 321411976; 848686047; 178398871; 815358307; 247498470; 317591684; 42938140; 868352704; 1004329470; 85249318; 927608161; 959463171; 205192128; 640387728; 4305531; 715213480; 110037448; 868356610; 970528888; 1049004179; 443937295; 288173805; 133802070; 949489477; 690138742; 909435499; 397717426; 696936241; 736307372; 754749837; 65491016; 1001601011; 402109417; 634049460; 317901330; 202329088; 361787291; 799510256; 747225609; 555334188; 249011909; 234736151; 168876540; 453648246; 208199551; 861950173; 681284842; 388427272; 937873151; 263041627; 906609248; 211945240; 711233857; 75600840; 1063110837; 600701129; 720466797; 182196340; 835084464; 468405501; 454404227; 1038848184; 457740811; 352395068; 529009534; 376156122; 821875740; 659855982; 487184595; 834740869; 562861634; 950694889; 863327700; 158054919; 1072952203; 357373134; 246066819; 664913120; 637205233; 25201634; 791616584; 926084707; 1041412482; 356432506; 773924242; 18453104; 408758349; 1059005246; 1045812271; 1026495098; 159102025; 704362899; 265632357; 453664433; 629579190; 636382552; 41546996; 706212630; 990922343; 1064499882; 294194552; 200499425; 639207653; 53255510; 498950587; 642187503; 753668850; 39388239; 460155066; 408931218; 313470274; 72618770; 159018982; 1047847562; 186238707; 851634956; 222232676; 124011370; 624492132; 470328569; 315910417; 123432890; 656264910; 243486869; 450932111; 234592743; 17991778; 123132396; 405883375; 56873976; 39317505; 59636014; 122758919; 107343239; 519071724; 558992118; 509168617; 480886575; 371654280; 908057186; 918992641; 228507411; 682480764; 977700160; 894361936; 626548297; 496246598; 581513410; 942690684; 307103525; 337203754; 390628081; 1028102555; 950753565; 539648588; 860442085; 787270295; 59300216; 46661549; 821872863; 449860470; 96766672; 368647386; 622094331; 905275184; 299098079; 917651612; 1030296604; 1006504495; 666959918; 657752264; 800733568; 381748552; 509819182; 656372345; 139207026; 920483780; 864315134; 71807860; 804918923; 381786124; 947640360; 59968574; 113943185; 311902854; 728093222; 1044546462; 368268954; 691174649; 1043092894; 122446803; 484566868; 1030297038; 596155599; 902978178; 650255304; 395765628; 1037839646; 498623347; 829241830; 1023859999; 715729694; 727950025; 695119902; 606979369; 683612576; 484084819; 989902567; 1042619079; 713148842; 471930729; 771068798; 769580876; 42163084; 767563019; 461005463; 941291189; 291216760; 131348558; 234845114; 744989103; 257926507; 864459604; 224809864; 316942735; 1031411468; 637322676; 982422336; 396184751; 57353340; 525920745; 429634707; 61593091; 214257113; 570738649; 964380190; 398211588; 857188993; 374494912; 891940458; 374836521; 651143902; 736293888; 231438006; 752865164; 682672824; 432313096; 767971485; 840504941; 568218828; 877950240; 705730856; 373049866; 1068371974; 997051725; 433963177; 529911605; 595403845; 764030108; 267995241; 521861956; 378448656; 816791607; 168333297; 271923014; 853940701; 1073703933; 682441792; 758003869; 65641277; 300701484; 170981703; 202403595; 675526950; 861347923; 775000923; 631230578; 1032227180; 742822653; 80122696; 461327030; 536751162; 43376367; 475796338; 995270502; 508003766; 264198505; 695792112; 437387490; 274839214; 384205748; 967078258; 413309915; 233911445; 759978283; 832111160; 262528144; 300975270; 245927894; 732901334; 895804606; 1011569590; 603882455; 516753378; 34132679; 1052912661; 502621843; 244808383; 850099750; 107323124; 571885683; 209504568; 420387282; 706113630; 779943109; 79529009; 336076400; 357729910; 561358994; 18243748; 550983987; 737204117; 820519353; 429000329; 106382029; 220751992; 684254149; 158686459; 707762538; 481041007; 784102862; 914317097; 468151653; 99105945; 921289074; 207863033; 651880705; 46928187; 90465577; 184320566; 1043818751; 866996701; 467223220; 577035504; 597181388; 233181413; 919839245; 44349431; 186910723; 547266511; 1013413558; 993594483; 111009846; 864088477; 193307313; 719494432; 92398200; 83111681; 824367402; 601978716; 337986164; 788425730; 236526947; 799122734; 72318523; 634329896; 593494891; 956734998; 879783167; 295318079; 1004964588; 408961800; 1042433359; 701411471; 128542622; 135610139; 31299356; 642777679; 272421516; 104421291; 822069059; 719445318; 184773387; 596722173; 786832533; 91186596; 1061252810; 339500338; 180027020; 1014707297; 703265774; 713297285; 412410061; 1028373957; 239365888; 915852422; 954169772; 747876996; 32910494; 595955590; 386401542; 787790592; 48950159; 254076055; 640682963; 743896790; 784198612; 324497834; 463401180; 872111965; 700866453; 16622674; 1033344535; 668240258; 10717701; 876238166; 377137834; 1070603395; 610960159; 1051577644; 71737433; 218207917; 47803484; 109658920; 29497189; 848845180; 227530936; 131949462; 515166399; 577398860; 377483561; 615999792; 741521490; 625643643; 82434221; 1022030035; 266407927; 598041761; 246569037; 170473387; 736653580; 275243262; 611029354; 432240355; 1065445302; 1070776754; 205322135; 264812243; 764030401; 1024067361; 74900736; 659835755; 882109675; 483416379; 888751885; 882758727; 635725435; 646340415; 881653059; 351936831; 635121552; 192620219; 311095865; 538438426; 423528622; 569502316; 873138802; 59483637; 687665135; 824869806; 980511304; 268144904; 532897074; 280062551; 530776694; 471947164; 725833925; 74793527; 844186518; 137413045; 259431293; 284306435; 726788321; 190922558; 308591793; 792984082; 905985686; 840462289; 885421281; 699260047; 618526033; 79345969; 246166376; 369583379; 495443000; 660945352; 884750725; 1064690061; 726808789; 916522578; 326782349; 583700729; 322048637; 927896727; 418255955; 638702340; 671044453; 420689729; 207359541; 981059157; 671001115; 346632408; 459290653; 1023882000; 48403866; 69932532; 1068217317; 401930743; 234489455; 116566658; 914073263; 848404470; 281960643; 704174596; 886144394; 424486520; 382076226; 922478397; 446916490; 110732977; 679550301; 520167550; 143361305; 491386821; 543395233; 502694679; 685500022; 863877844; 1069595782; 236334568; 740937356; 501814509; 661193017; 479560145; 997885336; 652163199; 166565563; 779107755; 102750094; 556276217; 17892902; 277920779; 780609656; 732915884; 829025496; 71666107; 629282570; 1014174240; 862272728; 366091821; 759184251; 1071290152; 393438969; 82029173; 791992492; 1016190140; 441820; 371313383; 919870702; 351960421; 287508281; 276240739; 33736178; 450572667; 707120008; 713635093; 332317613; 392942672; 350310096; 987711571; 605913739; 652806823; 612746993; 895045806; 920820611; 619630896; 106759501; 168966645; 613358956; 931707614; 249256011; 270881123; 603455030; 93553430; 312912699; 518953850; 99797269; 599241357; 513656530; 413646062; 360165127; 1007954180; 256206818; 314896294; 372316676; 659123719; 297759070; 306155406; 413769402; 984715795; 100175809; 595225263; 191715377; 333394360; 315410806; 1003434017; 573429465; 467289681; 972134384; 238985207; 650182384; 201334924; 707900440; 629911680; 253485748; 1011051291; 706101170; 536824563; 521386636; 705650223; 703333990; 825661397; 128455655; 934490035; 23769301; 286519175; 164603149; 606172262; 328134990; 838190084; 19213370; 824615920; 567565207; 203513899; 718505822; 35803707; 622269971; 343964684; 875758808; 570728123; 1029137145; 461338116; 653275668; 120579469; 296540473; 513993233; 133954820; 783967313; 828127581; 799495887; 95914886; 182082457; 903149341; 275050574; 237083791; 329907786; 821848925; 500954535; 1033455257; 136915065; 703884035; 887200539; 78854812; 369801150; 910836934; 256099966; 402976734; 486383869; 264545407; 1072187448; 513980741; 951072162; 590650799; 613764305; 373091711; 952077120; 997715924; 600495871; 412049570; 4484472; 332956698; 229865237; 10252005; 204408942; 873004351; 583013051; 909604721; 742575778; 438013008; 238984224; 655153360; 947351899; 1032539727; 593990010; 80978738; 747104293; 337396523; 227679452; 533867337; 643757678; 582259608; 320780672; 639126480; 461936375; 493945773; 376501907; 12439075; 610859962; 497415647; 833339406; 176958565; 639024378; 921564023; 842034901; 93817090; 571389143; 932147409; 465043907; 511590894; 1008965628; 448887736; 677921217; 102584383; 1010541947; 43849530; 269394576; 227897119; 1065119680; 984561602; 609055640; 1001022271; 632888016; 853028887; 604053666; 938050897; 801179491; 984933162; 823562511; 307384635; 760881547; 201011168; 835130822; 127130181; 136569116; 249440737; 692946258; 924150312; 39470131; 228307086; 965593747; 411847673; 559547320; 680773987; 435896270; 694609159; 27620511; 243054369; 886029840; 185884257; 1058278198; 864405143; 1050877994; 461587534; 148260160; 28622879; 673152432; 252862260; 215526859; 115987362; 389839658; 1030710974; 441144605; 855986640; 795803535; 674012691; 776804193; 262049183; 611681370; 305987283; 142317422; 586939637; 663659308; 305917725; 494668087; 729498426; 566034932; 426263176; 462792617; 965410208; 742918538; 226240197; 554387270; 94600786; 732785639; 677173294; 535145910; 297750023; 888368410; 205845228; 688068730; 292730415; 914121846; 956785084; 146277028; 764053397; 179910595; 17991693; 305325779; 845782983; 122952754; 24286726; 933988542; 683044621; 924113937; 600054620; 923993322; 856484524; 997836775; 405364276; 532562664; 138926725; 372328209; 509194017; 848573227; 739863164; 452956242; 173252211; 203795348; 540485682; 640824136; 724502940; 192355550; 682728487; 27585631; 612861880; 123011107; 694789012; 19402883; 810685900; 200596799; 277896363; 508664136; 928486128; 69822164; 413530440; 870072523; 534765296; 8412419; 937966584; 794922388; 85071435; 2809713; 52105496; 219910758; 545366570; 532251830; 476632365; 528169236; 463995897; 661727990; 479099129; 994038000; 245844323; 950799054; 357167042; 149899447; 878989499; 495308575; 520036354; 793886757; 337962925; 878500; 840549637; 467024587; 392307744; 888058342; 366308326; 914323921; 785710078; 1061379525; 1043993244; 114529858; 483635517; 621956341; 526930246; 761263457; 366648638; 155681200; 446584553; 715544915; 726832576; 911254301; 745505401; 731500398; 778173792; 208032659; 3259952; 806343928; 325464821; 783020692; 150528390; 1045073211; 765790753; 905863994; 126145279; 470559674; 322146422; 64092341; 806164608; 620318489; 969251671; 513541654; 853624245; 397149978; 210409571; 873375920; 316799361; 515979799; 470957989; 522605013; 439000344; 957924355; 76776016; 702296727; 19364534; 59347601; 445971157; 531943824; 315089971; 915174202; 385272174; 956116124; 305684216; 794380779; 301385537; 642117981; 752205275; 170095137; 844986964; 218671216; 176758174; 611016482; 999981511; 313259390; 779781681; 925714151; 881899472; 671672612; 360591420; 318573045; 455415763; 454241437; 644693561; 640475286; 602503571; 507754818; 1029644838; 1049713562; 97680097; 914370871; 579400543; 224115874; 798382118; 653942831; 675729690; 83453823; 825070243; 185606482; 809990123; 504571981; 756517210; 483851497; 133156808; 235353578; 465502401; 177618198; 2132094; 9183975; 413596434; 426670274; 864469375; 503520936; 756605177; 554835925; 933850262; 844713543; 336743083; 648219217; 20230189; 468564772; 284687436; 1067626968; 76053288; 41073892; 183723200; 256056364; 329931269; 747438704; 560986015; 1067337560; 659896275; 1026236918; 244573129; 300596746; 621776719; 163263327; 771903665; 561956755; 314729451; 225356844; 485535207; 1027887610; 701316378; 467618395; 1030115375; 177793757; 125382555; 203972584; 145662439; 864381731; 106424123; 980645737; 677585967; 125977004; 72751465; 6534797; 300248553; 999855298; 154488781; 437981610; 563929667; 126248980; 422111849; 560339119; 864311034; 705537052; 573011360; 498398763; 934071432; 1048300098; 170353920; 821523402; 1002226186; 75940090; 1004701383; 199722498; 281426688; 746613869; 628078629; 667909826; 112228692; 947325788; 869486578; 113852115; 470643569; 572075517; 648992501; 191402291; 468500886; 982756054; 30479334; 117277013; 574098612; 653317999; 252108426; 439935151; 591382453; 1017023519; 316782159; 35277479; 5296680; 531345641; 342593972; 575588539; 872545724; 362106388; 44282021; 94299389; 733770123; 951422240; 926200860; 511206836; 499298185; 706079851; 530389299; 235338585; 565314066; 87422966; 16503633; 514382024; 824207720; 921299926; 100410015; 622216214; 498158565; 801842652; 766148538; 334253165; 717358878; 314266892; 518335444; 349459837; 804623101; 978844825; 678640573; 951026679; 458160177; 488655021; 82839146; 190267441; 384902337; 75383022; 387321076; 479371231; 360577052; 1494705; 842369316; 542747203; 932206601; 551215378; 143625464; 58296812; 421310131; 301920342; 602722862; 68800628; 934055649; 827760526; 295334461; 994409740; 785502998; 759808030; 131067148; 626653267; 950596337; 757381545; 617430067; 370547797; 87520550; 163811175; 742330403; 635078059; 822469138; 950695251; 475189416; 182801103; 892107873; 594599464; 395994956; 913076514; 466473586; 984192770; 192075363; 570000022; 428888961; 489506703; 711840384; 585966304; 465917745; 621582351; 863375098; 364401936; 544914365; 966241878; 218850884; 654704637; 365098196; 66970853; 916512976; 289424431; 1006469331; 136112214; 479189567; 866089778; 1051039878; 622193040; 480999171; 498719205; 1070097825; 271419622; 679882849; 270242006; 486563778; 697106513; 610081243; 575947489; 720347329; 903214649; 19789747; 436575334; 769027426; 321459324; 986855041; 219441136; 207551476; 690914011; 93601920; 787713097; 767557952; 519385847; 619697741; 853072894; 986444781; 825489905; 776827279; 58722448; 462952309; 824814610; 655994690; 64602782; 38139756; 550862414; 291222169; 13625362; 408523324; 83567697; 707494239; 314657186; 532082996; 3787109; 195153391; 929389652; 309624830; 973758518; 943607114; 679685775; 665669659; 107763463; 258929342; 953328580; 931642925; 848507294; 64768127; 730103283; 283304724; 362095922; 705967131; 898293172; 1055761449; 597652882; 997139481; 531124850; 970548580; 977815065; 765719518; 180731756; 108168466; 318270152; 908007758; 663284422; 203066481; 967369788; 265918597; 854066682; 900844617; 539436939; 970537078; 383714567; 320595073; 889768509; 1060608287; 455436136; 697879237; 583673974; 609271021; 537695393; 475014374; 850083889; 788782972; 1058874883; 482340748; 774125503; 930097069; 627116997; 91257069; 329048976; 160967478; 546184554; 171119346; 230722870; 532677604; 592028261; 32903402; 704604173; 614107310; 944407189; 84245684; 672190576; 439551536; 305577826; 569299233; 884915382; 681680841; 387254719; 1004935837; 88323554; 754510431; 460510900; 564471807; 988775232; 637271222; 977084657; 733037350; 1006959030; 712291957; 555287901; 222696222; 875144462; 373641430; 120409747; 641822783; 437232656; 1010100985; 493661021; 935847355; 248215645; 243762646; 856816824; 572475280; 693005296; 612804220; 343034434; 437426178; 855537725; 519260091; 433368361; 819779014; 143375162; 148563505; 947217814; 282936277; 81648190; 218504314; 885452903; 268996190; 719273371; 841816845; 807513271; 1033254523; 63025367; 385406797; 582905475; 297354447; 20508837; 906515172; 379734991; 237245368; 238295755; 1073157112; 710270485; 509963133; 208520784; 674055161; 105271623; 67793566; 500620584; 672688353; 673998530; 238187233; 142440224; 917287280; 220425020; 868144324; 778242814; 151067752; 878260143; 85669064; 315247879; 46093879; 538035025; 967149114; 442255272; 291828494; 947407944; 909732644; 947624232; 1049739584; 819265731; 867879930; 957860819; 581210141; 367809364; 979876677; 576136157; 831049862; 804692329; 416977116; 493409534; 597527528; 408330736; 1037456276; 112843537; 1010824537; 701220385; 1040467666; 393286079; 657210714; 309706721; 1054692482; 920525456; 701350399; 623545385; 606729165; 473685837; 381152147; 135552335; 51309848; 555428654; 618353529; 298479714; 758235326; 602012356; 397406440; 1071404791; 347566615; 104246293; 352995064; 594175463; 214552265; 524519013; 606928080; 596222747; 752949713; 563337128; 901968743; 963534695; 637202787; 205165047; 646307639; 143663501; 997497443; 1040410534; 827668139; 976298674; 256234293; 41747135; 212933586; 173900403; 31288816; 309474528; 949926606; 859843685; 310442274; 886697864; 195375131; 380367862; 100377687; 541893804; 783808100; 717004146; 334039817; 838358686; 415452725; 748577301; 171908101; 739140746; 989641386; 899169408; 529460431; 933109262; 211889809; 157944330; 99064576; 26856833; 715933246; 343418418; 972654294; 13419753; 649188962; 269252417; 681178621; 612024282; 388204709; 917193867; 454870643; 407645283; 698019406; 582978071; 154060662; 1053514816; 118092057; 493936285; 365807102; 144452551; 113155194; 554790416; 725973862; 465310422; 887322639; 27765978; 831748461; 917281591; 811486124; 484281331; 466856108; 897148662; 99777350; 463462127; 304821022; 606947449; 645812487; 694865853; 839487476; 186620014; 1070736956; 147584413; 170606325; 525600579; 748569344; 637078275; 806793851; 227042815; 911077544; 196006082; 137447696; 932270478; 953212967; 801838833; 180859162; 804036623; 399350279; 27908954; 590797235; 210817235; 1034218180; 529346193; 296529786; 914080619; 1073166484; 874705857; 1042628468; 1039065393; 544204012; 697225468; 87219231; 283277641; 1034232021; 961543379; 47554415; 226674784; 879938031; 336607154; 226480654; 363667612; 152089148; 269029368; 456936578; 508791087; 60122271; 999445577; 781187926; 425791223; 1044784259; 3828204; 80021717; 881469232; 536390486; 444069874; 916969582; 372667471; 328412142; 481244578; 201428926; 281304068; 590187952; 412566781; 63397678; 228767254; 73238533; 924332912; 729521943; 197988623; 809079037; 84379591; 917217325; 149652258; 38688980; 782851137; 394303343; 467112242; 351340339; 204917227; 460451555; 808365796; 428422293; 727269988; 318467158; 18966193; 895291960; 720163310; 541396286; 230157092; 566139473; 424803940; 412277840; 624926111; 172886455; 430396130; 229678232; 1027099451; 664091810; 146011893; 470213985; 845479317; 840570824; 326168227; 57293825; 662261637; 1006474429; 344508938; 623173849; 888084732; 118818159; 739485321; 370927857; 774455526; 62490473; 340198550; 309982126; 748539205; 22833049; 152786252; 229204674; 701534573; 145126694; 583810126; 29594518; 1050353830; 835150359; 763654933; 22223774; 881836925; 975908844; 184716185; 675280412; 532379190; 54985628; 935358107; 237376195; 642413825; 729534551; 958204172; 1072616415; 37012912; 444786782; 49980710; 847989657; 769072842; 867879303; 43708631; 459463638; 143177055; 1071058573; 236989331; 925436248; 111119521; 521365228; 522447987; 966656942; 691641429; 1064583480; 178731350; 302326431; 820819326; 300620603; 34167748; 138346113; 765432488; 962490139; 438101386; 452036104; 965803209; 402062454; 713165316; 639705024; 538025745; 677291096; 501986620; 690604168; 581561666; 170198008; 680432988; 40877698; 189594627; 463210311; 919483681; 553644645; 769902750; 935414227; 617102112; 1043121610; 897688008; 294168358; 499279967; 943546478; 94018834; 677930221; 730379456; 300269947; 858407711; 304605996; 31599844; 138280471; 555867686; 988862920; 73384074; 863220862; 1025895549; 467125560; 279775763; 157352518; 307426700; 474088802; 763835679; 948956567; 514611096; 713564985; 452949138; 5237931; 716353583; 780467494; 906387356; 935510175; 1000741719; 3792485; 678754693; 484307117; 880471901; 1038265487; 896481067; 563165380; 152320172; 17271696; 410986957; 577321206; 1013130739; 707408713; 948433920; 91945020; 285079762; 896915638; 564244370; 89588197; 430401288; 619295506; 525135338; 917995532; 631947628; 248135838; 305481351; 224919721; 262240161; 729039594; 1017994180; 341407753; 881168370; 299057295; 794411543; 447794190; 996478870; 1001322696; 342432419; 368518927; 113568158; 1060632509; 480454753; 116760392; 539591641; 718222326; 532110537; 673247703; 322149390; 237228611; 445649524; 844989082; 466225751; 732536887; 890651979; 578521127; 832287434; 146751647; 339481001; 727814443; 916377811; 236358251; 834827621; 386244154; 559870080; 275649373; 540600187; 889137496; 178149323; 923798823; 722479456; 843161304; 732743435; 337610278; 716853792; 1070682469; 39562058; 420446426; 406169245; 299783280; 217365756; 313863921; 895367584; 302568150; 797710663; 199962862; 938641272; 103915504; 649635103; 382217375; 652299601; 389184170; 838791481; 204240473; 680370292; 257821593; 712233569; 414540521; 854177838; 349216634; 418424614; 271824936; 79297273; 909854972; 950957114; 671092060; 219815332; 527117918; 1019169899; 589103309; 701864424; 470888582; 1068402312; 566965911; 334147197; 617222905; 610314443; 494961315; 775962203; 244332575; 468201377; 851919591; 887179492; 93058540; 693449241; 919523125; 116880951; 828092662; 973415089; 159205907; 61848983; 639396156; 993674834; 978844642; 322392689; 197479701; 172102715; 417592378; 944762484; 846286247; 264965891; 147156804; 613909916; 984014720; 44227810; 845273154; 1048287627; 891624897; 451226925; 1047326673; 1016727798; 873095129; 458211349; 516230388; 382899896; 813419601; 848986294; 383927998; 956676961; 323749016; 645523526; 975711979; 512723717; 201659241; 844878084; 328121118; 735817891; 203954828; 579724549; 566922853; 807893361; 1036709947; 355764236; 214609918; 759328141; 352949973; 887115197; 262895185; 78523068; 275938020; 295557720; 567078994; 870292229; 982716425; 69937998; 570749408; 744558132; 613226751; 128051471; 17042535; 572804547; 862562529; 506431643; 527187754; 986902574; 490145554; 373408101; 260777608; 550904467; 501267287; 1027045529; 150232241; 690607167; 799176219; 695495818; 617177218; 843917917; 22498362; 711575274; 367192357; 830089865; 17166312; 195158832; 101618423; 192622038; 494665137; 39526013; 447799622; 584848729; 284259901; 318598971; 230696147; 1038351442; 89721009; 813661916; 681418518; 483454352; 268040880; 732113149; 933771234; 337551420; 994791455; 25126835; 185564297; 615886336; 901859573; 268365465; 450063149; 694957016; 28430673; 847097190; 646702394; 338670549; 845713687; 1070057217; 812661024; 147615849; 743009279; 882430504; 1003552325; 260271177; 298713766; 109326953; 123014025; 419839201; 6401500; 692897683; 465162913; 3934720; 226967179; 602265430; 219613793; 518723029; 745993282; 65182068; 679886470; 980450990; 1039875704; 251677975; 289739033; 432857037; 632757972; 1059835158; 571759835; 744347028; 471897475; 384316978; 334662685; 291772768; 1002234556; 1004671558; 104846512; 803379946; 65475030; 290266387; 136271324; 833333318; 373958789; 156303239; 435415899; 216862804; 1028620176; 949285667; 722581374; 532460620; 671000249; 185507284; 485828937; 900610686; 314588189; 738208158; 423018663; 801317761; 766630179; 539359894; 69179792; 299373205; 540711222; 430524085; 711189226; 205158990; 146053992; 996892428; 465147688; 435795859; 576048607; 287742452; 59935830; 309115013; 236862682; 878553146; 515622953; 338528730; 935294411; 947528471; 923755379; 614095482; 779502155; 538841044; 445582474; 355439111; 687669635; 1064195354; 951499316; 183510561; 1028504059; 339731547; 214242808; 314768314; 251160044; 122248514; 1059624268; 828450777; 134176163; 827169963; 124111243; 795225150; 526674124; 283743277; 897900603; 135884316; 985092184; 289506410; 137973595; 295272680; 1002714833; 503620669; 80560666; 299074403; 440772606; 279795380; 1068592137; 27918351; 848042692; 677904176; 586846699; 609453357; 1015541079; 737766011; 41152958; 556011884; 1027900530; 680699638; 873930065; 590443365; 374449703; 766161301; 514818517; 931740501; 520765588; 912391888; 414867150; 627434476; 18895865; 727704258; 934188298; 676746138; 527621808; 883309734; 366901639; 574173535; 410333401; 677602558; 540888029; 828664101; 572635074; 680697037; 709738652; 180695827; 752855131; 503353695; 1009439452; 494983424; 383597444; 219369112; 970745956; 30429195; 253747233; 857045594; 635810800; 974898354; 953695627; 895848704; 445631162; 42872624; 331668137; 562662346; 160979387; 84733615; 144353418; 972938020; 185136132; 523122489; 25136772; 893580124; 190228803; 380944719; 181530551; 599735947; 896659056; 577497671; 331778610; 820489540; 435038715; 481690017; 90135007; 778718106; 850943090; 415651922; 870151111; 645937519; 205073312; 508045061; 111604897; 442367812; 61996796; 852905550; 945300150; 461712890; 443153797; 420887885; 856253896; 588856570; 848303412; 592887036; 279730142; 703304530; 728834291; 250080347; 688234275; 75559380; 429114550; 449160673; 885230501; 787638869; 1046759728; 639746894; 297215084; 204540634; 928781945; 231344260; 1024765475; 641240105; 824312181; 259795402; 197605852; 524232267; 460475568; 912605553; 838055011; 121636948; 281739348; 92881387; 60178994; 273990947; 696947302; 681097370; 698922427; 310280202; 531785237; 809982262; 320283928; 293316816; 520422117; 539870556; 154526568; 860170156; 265014209; 740278549; 75773052; 533537370; 970450087; 762024285; 440521670; 411110373; 240476332; 503408859; 548920652; 990625908; 394777089; 625069942; 309619284; 1024215483; 135898381; 8506185; 982646463; 997739720; 537689832; 1068002761; 33280943; 70499245; 397564938; 199972790; 27614505; 57984126; 834812134; 12940732; 578657811; 464858317; 780385235; 571274709; 525390429; 969833232; 538374421; 919125596; 710680539; 630944075; 966234; 371833989; 553830682; 143249928; 1005511846; 948511563; 1069452856; 889743095; 632736442; 144679040; 303484594; 764427103; 725092862; 218665712; 698193748; 514989962; 862474189; 252334900; 530913541; 1032323524; 137913966; 243237074; 979343169; 395806196; 221647015; 51720227; 435916720; 612447344; 865987671; 170567504; 869861960; 271937768; 409932197; 386022085; 833478126; 439934016; 473845469; 494869421; 46513529; 291941534; 17251292; 706390871; 363541851; 278547245; 396942658; 693455929; 738117854; 463385321; 357742492; 324881913; 709401568; 842231041; 854907860; 213035828; 776859878; 300391917; 648966402; 717338409; 506526132; 40491846; 240415716; 686216729; 160594636; 698828645; 183647651; 1028115519; 753756978; 327650675; 184872788; 117226391; 482978901; 212469861; 663007226; 257389518; 526088199; 1041706952; 558501850; 126845921; 142095595; 14489596; 186335029; 192096722; 43422024; 37848609; 314730248; 619615705; 145844177; 122182419; 355363864; 748916365; 438601044; 837635029; 41696473; 562070017; 134653519; 922337999; 920283824; 922214549; 150715289; 98625410; 56070556; 1017377560; 784453159; 858185758; 96681001; 224159026; 659885536; 198265091; 662806522; 817885656; 503079117; 796153437; 231717882; 191007092; 1061981046; 928760974; 611764068; 333223770; 147679914; 720366549; 90183021; 995873927; 834110669; 691447239; 813788599; 829380087; 448385255; 607900281; 437211001; 1024507548; 409388172; 662669505; 406924348; 1018722901; 45967169; 1037487992; 348127658; 52005146; 354295404; 535454839; 345924269; 401228510; 327626532; 668598071; 706603835; 103626645; 149305239; 616054017; 52477996; 976070160; 55047075; 379915643; 474925153; 652222506; 856728506; 438618357; 769109120; 175044176; 817734110; 524592439; 736705511; 810357494; 433759187; 226418468; 688971180; 95029890; 407397543; 353237584; 157921259; 850756387; 804017233; 338031731; 377075288; 565512600; 889045182; 138729355; 255495633; 766852124; 93765042; 969039766; 939573254; 647578936; 363993592; 526526218; 206251982; 428611907; 32820908; 576214182; 748055898; 878105546; 504541462; 106945088; 513771352; 862336883; 1015996926; 18650539; 688796147; 739574333; 815035602; 194742340; 590744164; 580318930; 71646161; 519170748; 674745611; 763616044; 858855108; 921292742; 419753119; 467767570; 956423799; 661760343; 211761818; 607880619; 499997774; 378167896; 24805413; 99089030; 558514747; 197313672; 397929470; 151284911; 902076257; 1017694873; 589572730; 814133418; 663983075; 721198367; 842322196; 753042019; 325918617; 262642179; 559260823; 897266912; 1004421304; 782153568; 124922895; 276382722; 331491204; 700449056; 399250188; 366165811; 1068935465; 219337746; 778311095; 619431059; 293208589; 422995271; 901001034; 503584559; 811714399; 659787360; 192001597; 1002614048; 596237867; 157349155; 434247479; 82343724; 319503725; 412002292; 748017500; 878697345; 768118474; 695977705; 277453314; 918491776; 697479880; 6759089; 222343887; 551973394; 948582038; 458178275; 76476024; 641930671; 655558056; 488228524; 647201724; 486495902; 453531478; 313989096; 121032704; 352868622; 493024296; 372533359; 993330662; 119784656; 738559729; 715871606; 974677890; 418602683; 805715170; 817349218; 343528268; 429793336; 779398062; 607016724; 701557973; 773462381; 424713100; 728255300; 851623084; 814207413; 475091776; 159696531; 335237884; 168882170; 646654239; 402213999; 943051173; 991459595; 425616765; 1071612805; 850417257; 244247449; 74961899; 449607743; 1003513516; 171047862; 796551824; 198187526; 657603599; 163054571; 172141424; 989018538; 513812808; 982767308; 824908376; 576653093; 1020632938; 174912444; 267561400; 42333064; 880841968; 156618489; 1027817629; 820870168; 837910713; 434704431; 625756215; 869555599; 220142797; 403052861; 964031218; 1017272545; 250913437; 595389457; 369450273; 603915646; 635085235; 872958798; 768089843; 951151114; 606837873; 321096387; 984536899; 393436784; 542982597; 833615751; 200157491; 128141968; 348366941; 168510891; 843492903; 758272996; 152208925; 411927413; 109809786; 440785687; 503009604; 297611032; 809507081; 823566030; 174805305; 920602586; 1030590746; 506485100; 673552120; 1023474610; 742928207; 433678526; 444304541; 863895129; 492942761; 278753719; 284513889; 103093107; 251478736; 167676072; 211624812; 534853176; 512952228; 477811056; 1043418990; 262958444; 300381696; 110912931; 433640770; 948741234; 850940130; 862432776; 611726400; 514235247; 750517476; 879397601; 52275350; 553830406; 189096090; 934695978; 715701672; 533244658; 85794244; 560620216; 603362300; 340463211; 509743900; 589414779; 745265699; 763889671; 670462132; 384758960; 395218457; 653185248; 777375286; 12151963; 498457616; 868739685; 47648847; 472929033; 634499255; 788367738; 85568581; 338752405; 691575910; 568793966; 1010966708; 563829456; 65730432; 435480968; 147764290; 590227245; 1037836028; 658722860; 735407873; 269787563; 448642320; 721239191; 892844666; 789019968; 608591556; 881064844; 854084911; 845833914; 912187909; 267934282; 677449168; 509783203; 911633223; 539165379; 1048924208; 425306042; 942486067; 550924618; 9401179; 800766304; 730639578; 894641376; 5877824; 612105334; 241681521; 85199972; 936070966; 899927385; 648852666; 735302159; 405108324; 371636507; 75481625; 551725473; 626693553; 927616480; 163215570; 507611078; 247684122; 960306819; 684362836; 360737881; 898654190; 379285687; 166670351; 984910306; 334291977; 965412234; 477449695; 175782476; 836793975; 1060362865; 246373171; 624815351; 844271682; 392350311; 104845258; 904086792; 708206738; 238825148; 889338369; 622128822; 808569287; 330589572; 87925073; 487199365; 1030716615; 982452193; 876171078; 939178857; 787185815; 25852804; 364143077; 939547144; 1055273352; 305077445; 447038610; 332309038; 846790772; 104333981; 1027223230; 286062668; 719509358; 336862185; 288990449; 274016894; 637173826; 410367977; 60007288; 943092470; 274588712; 782083131; 11818018; 557296240; 693206803; 923647523; 187600310; 312274934; 148557385; 716147636; 241179455; 122263750; 477285468; 199700681; 764637037; 1009136193; 32386902; 615278118; 975823268; 31341097; 274744364; 674419228; 546637395; 586050358; 21902967; 944606530; 960727308; 361702299; 624685961; 404099140; 250154313; 194647184; 386524416; 937690239; 153927362; 864062199; 397122749; 716693663; 150970101; 1044288300; 1058391445; 927353277; 695018758; 923370828; 114944257; 537620365; 914873388; 805996367; 16159403; 106067825; 594400914; 1050871398; 957771932; 1068802847; 701751734; 1013762895; 285039826; 323945566; 291050094; 771024241; 450212159; 63646010; 461097552; 754271515; 168623289; 939939356; 798785645; 495261877; 734828840; 452264975; 772253301; 387897012; 1061030104; 911623180; 508778345; 108078191; 755991877; 665720891; 597259653; 1818325; 121135116; 900072356; 79894627; 908065147; 639999469; 198356602; 637343074; 227995515; 627776689; 570478481; 856643478; 895537792; 245408793; 476098464; 417404649; 351352547; 456383306; 298391857; 915540776; 1066758191; 854543579; 636080331; 1039970964; 897896879; 311998323; 412951742; 923124055; 822228054; 108758028; 375026169; 947781872; 543672311; 86451599; 367314254; 589940822; 819232707; 263935721; 543712193; 10272045; 785380917; 671455532; 1004062367; 843446226; 1047228600; 583170160; 383772325; 565367709; 274527749; 516589496; 650741559; 155575932; 450978559; 887513245; 784588078; 454579104; 728163732; 696046540; 5694178; 534979074; 165821159; 49153957; 820555410; 1044185081; 974318603; 434720281; 659297452; 473966881; 497010997; 762216920; 709460337; 620118008; 319581660; 177864055; 153207113; 913927843; 204364208; 725019766; 889028616; 156370729; 82765739; 162039390; 375981591; 899669339; 931102912; 35618217; 157511809; 812138765; 221878647; 398929388; 512269327; 934540378; 8752155; 662500088; 713925678; 670215854; 1052148056; 567944867; 30379436; 154946084; 907115174; 769098650; 1042307835; 7955218; 226053855; 967251464; 1056944156; 778100707; 155918517; 506966576; 404008193; 415400590; 617388616; 871701600; 1034668583; 643301570; 585324019; 762186254; 213304486; 180609772; 876567553; 973981330; 277477697; 572882694; 464601173; 48654471; 142911300; 1037163716; 181401485; 858199619; 528736173; 550803794; 332443582; 580796071; 746019393; 257274609; 178031471; 331168700; 776104044; 633045379; 71008867; 71779309; 632973784; 920631331; 826686176; 883750002; 880425932; 341924214; 192989406; 763553744; 954955037; 6628851; 275520301; 770203591; 721274296; 867727571; 4276617; 441400604; 675874486; 474360790; 216623620; 375224063; 80185420; 142410447; 707939760; 898014269; 654881098; 268521745; 335548250; 76362988; 19661108; 1028584756; 1009436843; 418634844; 665960090; 971332423; 23724647; 683719887; 679372454; 839615067; 598752687; 532990069; 377864021; 802994895; 91438068; 580588222; 896181378; 227837939; 515364789; 957246090; 776840958; 98567651; 897217718; 247642496; 28705991; 607972319; 747424743; 844296975; 868344663; 1023860508; 178795654; 185305439; 1017048959; 307258798; 499040387; 348923128; 503556299; 963239785; 176639982; 925967118; 375300074; 287912568; 417710362; 1056909786; 138187602; 638905653; 936386890; 218672016; 86107816; 351805266; 1048439114; 1030197173; 233776170; 577255792; 759695123; 895142171; 902945873; 789705683; 952548425; 989811904; 43852995; 409601898; 308327910; 342211437; 857706886; 293006181; 1065411758; 958996222; 255835773; 739272523; 782478177; 704908665; 427257771; 744001428; 336422860; 1051775249; 89373201; 26742604; 368834868; 295906013; 822314840; 348085752; 645501280; 647316768; 840959580; 479464115; 968842585; 90758825; 300986878; 554521706; 531849501; 227715688; 258853537; 668173759; 973978547; 374686754; 391219457; 148022505; 5727425; 962169131; 993076610; 418491456; 724363841; 25402237; 616552674; 958735434; 293594413; 87279650; 9414236; 109194672; 627358708; 218277924; 680339750; 287542025; 815273204; 659557979; 34388889; 984937694; 483364905; 403808905; 728909568; 733548217; 556512409; 113944394; 553847113; 675516812; 288769864; 457808066; 799049794; 157874806; 953965009; 268793244; 866241399; 642403786; 619646280; 591510504; 1070010839; 703909780; 480247321; 276825840; 309361950; 299799876; 899690876; 221168270; 924310418; 926307598; 355716389; 339877676; 515922657; 328079615; 274337370; 212005454; 428053948; 492899336; 853331674; 407704871; 840662858; 1057673445; 620004475; 68938595; 643856490; 723199987; 216101605; 563004376; 844484657; 900489115; 267417312; 995775808; 109434955; 953513999; 381073444; 91150679; 627419329; 935173767; 973499134; 298477391; 6604562; 598273261; 699146489; 826429563; 902970520; 1005279358; 588166313; 69661525; 424700705; 650929675; 82232482; 606616159; 922683965; 1050076118; 270443787; 762528331; 995566826; 181436737; 4477217; 544870264; 1049207175; 31433745; 912983791; 118069767; 220461908; 589366865; 226221293; 397227061; 1004318216; 25926987; 642013552; 308490869; 616261257; 270426007; 319311612; 26223915; 985082237; 75672257; 118050640; 1010179329; 642422534; 183520873; 12828262; 106707030; 492119360; 651057250; 476101404; 934614442; 315878372; 326975899; 126484811; 73443889; 274869004; 402884885; 307302733; 1025492297; 734800756; 292081843; 562175741; 275615172; 220365780; 400894862; 59058613; 387527344; 189263862; 551642399; 812385737; 669873681; 291713854; 287166871; 73173685; 42050401; 777500061; 376404955; 705104257; 722819725; 922511369; 736398672; 345568153; 626787134; 1000424042; 811928233; 443424454; 378845531; 1037866351; 765337432; 7080183; 207699054; 286171325; 578924817; 1072133044; 100068607; 929251145; 753874188; 350745681; 859713096; 553423724; 765083498; 332402638; 885550665; 210921968; 974995777; 75815430; 452603952; 791965373; 328077791; 498401531; 628062749; 791036298; 856399876; 198785459; 132710094; 308703677; 769436990; 82459011; 148523460; 815341703; 883164632; 799650941; 983797588; 159608414; 507696037; 635646740; 8797351; 82095898; 577212408; 487428803; 519708606; 555400209; 648856791; 463147932; 124710235; 541474798; 367330736; 635609045; 1551156; 441264749; 1000626027; 634152655; 970503829; 405828122; 130550188; 453469141; 102211953; 989137089; 92520530; 168071522; 617854604; 953107465; 532714704; 529599542; 597627062; 338859778; 320023335; 5094104; 431139789; 751443114; 558985079; 929530288; 39567570; 40012040; 315674273; 297281148; 136711582; 262995000; 128648558; 492199365; 802699933; 433678068; 720070104; 460739611; 980404640; 492876558; 27723070; 703412701; 983307472; 1059620157; 517284591; 241780582; 710972251; 1614724; 795088647; 869157840; 561891244; 433015011; 749443625; 484826610; 1022530740; 890931010; 484748159; 587668327; 200130788; 60490052; 194046420; 296449485; 709175534; 878072345; 216152264; 180157256; 934026032; 949693861; 957603709; 771415561; 416802708; 266139798; 831839076; 621275976; 415085844; 891534371; 124180386; 877567693; 635068146; 545692274; 18320043; 806418789; 1017022350; 860819664; 798155302; 184275769; 887344100; 735614391; 137902851; 165375659; 829767521; 792361311; 799839347; 584963104; 102236355; 223527179; 234030404; 819704967; 389110213; 792259366; 312325725; 86615782; 732960203; 266778112; 123098188; 1020134551; 151275184; 702259714; 499360964; 575754491; 484873628; 175637181; 469826833; 438464159; 991469655; 144041430; 948820105; 888595580; 779504629; 578484564; 186314013; 324689062; 766972967; 561112912; 292197764; 550292220; 731287133; 618668996; 1043298465; 7174137; 93307183; 111480379; 53820927; 221620742; 898708626; 1001145602; 316448280; 996638782; 594902796; 319749952; 139041224; 1006760586; 643721320; 476414213; 818592698; 521686198; 33319265; 445436078; 520781701; 174084366; 898667447; 633274367; 833913937; 839672568; 593668780; 766426728; 309785074; 551034724; 662525711; 625381782; 489894337; 479937185; 1071629905; 486154402; 1053467404; 678513905; 30342609; 322020313; 751705468; 737789537; 352622357; 16169234; 553386362; 108633268; 343244144; 833044007; 180443911; 279744322; 746314697; 273368242; 304006721; 107652443; 563018695; 121238585; 655601292; 373884841; 929066074; 850082035; 744694507; 834635464; 818757188; 743581236; 377728020; 462590291; 300196282; 123104639; 911199435; 418452510; 28658669; 346405209; 870706533; 477490009; 218348088; 361145984; 596562402; 1072826029; 1015629121; 914253458; 439804250; 622173938; 486069834; 266059619; 897863740; 68280414; 316917231; 181690578; 567010741; 1040424132; 720485196; 964395669; 165667148; 330669242; 909093415; 303316551; 475479362; 340723638; 196758781; 118177161; 76600045; 975397937; 255350331; 530786776; 784684754; 66944952; 541437076; 112174534; 55743893; 566741209; 244424583; 725585853; 358907554; 73641621; 880755462; 488631277; 138486170; 764512209; 478330775; 1035495047; 333091096; 446649638; 71547678; 679882871; 952787045; 731097275; 490140699; 988789664; 666195140; 122689473; 709365076; 58555981; 54559076; 460605205; 142615656; 670042496; 448126860; 950230168; 156200182; 108851231; 362589584; 989208018; 152707409; 1004091034; 549952833; 650086927; 471322114; 705057032; 673459278; 473468779; 797888069; 335649241; 1064824978; 775438780; 181204037; 668562053; 539687435; 931469523; 200657755; 832387998; 1035415707; 718735790; 676650568; 360146166; 131687083; 218761780; 667863931; 347077984; 314393384; 399047385; 718063213; 721458745; 880872835; 197357872; 54426360; 942863812; 1025766293; 274702946; 336783522; 772991573; 669556551; 437575797; 789251713; 14249313; 107708118; 556658589; 308979419; 318843396; 219130083; 86154044; 568746309; 309674046; 1062754197; 790759015; 483706306; 318180947; 534870972; 133462586; 22486926; 742499447; 505219581; 40386804; 702583857; 1049843255; 504567715; 701734079; 801080052; 357223822; 341564680; 111510769; 678847977; 226936748; 910771725; 643107916; 688620349; 200536209; 827813800; 37723913; 1044631010; 672465064; 899386929; 839199953; 340310596; 157468565; 333026358; 536633179; 818526495; 453891314; 161064189; 467874652; 377823420; 566857006; 442115288; 474995551; 662539479; 757517484; 185628131; 194480608; 962946434; 760414816; 359549565; 780288197; 836441535; 1020233574; 681813998; 150649885; 79056289; 126183699; 593077921; 443228130; 635757127; 409845332; 204756096; 90899939; 127338521; 554417014; 905482200; 888615886; 794039151; 4580278; 628483829; 675745034; 821757898; 875864311; 150695259; 981545007; 492392307; 880390219; 210528352; 581035134; 621493790; 880382523; 397554699; 589173727; 860830977; 419995665; 36134019; 657578152; 105345124; 961653540; 11516643; 457460889; 342874123; 813592052; 213329859; 251654321; 947378709; 162611003; 976444305; 262620438; 1068108527; 278339523; 621596121; 737864829; 21015823; 698007392; 936427633; 450280198; 217284386; 313507999; 650129227; 290960755; 236762079; 8203233; 573495966; 443078022; 706528509; 975837696; 112499283; 59005104; 261044144; 219285539; 932071734; 757030865; 108238933; 1059547060; 156525270; 753973435; 73787192; 384881055; 64265064; 223025386; 1003654927; 933001661; 954051488; 46942523; 539991842; 147441141; 109637481; 2522442; 718363895; 888678874; 586662486; 1048320160; 297546132; 77454342; 797266502; 447699369; 602225482; 678516146; 955762264; 384267528; 433406246; 915725219; 582100625; 162601176; 313539922; 725665198; 506462382; 632331626; 404186079; 472556498; 433271807; 356299118; 98906304; 857493806; 107205745; 272537928; 650938713; 229989876; 324245347; 548488644; 653342454; 497643813; 965456754; 1043915068; 746968011; 27569544; 943343765; 918397156; 796247176; 89603012; 118964620; 714475225; 902967880; 675973547; 839948912; 419716121; 120540317; 31701794; 928015898; 615202292; 367385143; 711546062; 639030622; 154302290; 508047497; 467162891; 478487053; 605633081; 17064967; 1026237108; 189187302; 91505973; 388347582; 783664431; 174082519; 357421533; 708876643; 708984681; 71387389; 326490200; 397898883; 135839794; 951001386; 350313362; 15785951; 657948207; 473813632; 907621764; 567646790; 561413570; 569958421; 212522779; 982372709; 344623094; 985533424; 826412311; 1024262966; 885276907; 437795049; 1013964547; 698673689; 710773989; 677426826; 695837468; 132036719; 446545802; 970464359; 328187056; 913279952; 811081106; 399841367; 621132665; 942880381; 577339347; 718276701; 1053484883; 530560349; 315588685; 537143946; 755793257; 526225191; 583948741; 291509778; 619728697; 407609516; 105892418; 140205562; 188164689; 182059592; 326270413; 403458591; 143355395; 315147024; 407747002; 349682681; 952127325; 692939120; 781877554; 51565752; 576867266; 157077046; 165690440; 39671540; 866940927; 911689812; 370701744; 406437911; 1031934783; 926479258; 677595970; 481957822; 329548328; 57073417; 795910805; 679664136; 484974530; 281763294; 181305247; 334820223; 804346267; 705911175; 396125703; 640130696; 199362389; 947555400; 883160205; 188517730; 225989278; 321482360; 735492164; 102760247; 113821994; 30304714; 1331516; 155287899; 1054103836; 225564069; 858123671; 824244917; 225516401; 820017331; 204275740; 847527937; 203704632; 782807695; 161203791; 851144958; 223776331; 688565659; 187452405; 21829517; 709311421; 580801242; 652910702; 115463763; 171570589; 274066020; 711100694; 738352430; 309771876; 855272941; 952437278; 173183879; 610660123; 877601980; 597343746; 1055435099; 57390000; 1039421189; 730079952; 210942983; 373556666; 213524731; 715517392; 370818146; 420875821; 347231565; 511101294; 1015574075; 1000367460; 685481227; 491055504; 700406438; 363901302; 964125123; 747000739; 987161421; 780081545; 971827897; 158786331; 854786398; 1040049814; 492554776; 407264287; 751760906; 678523143; 671988237; 485886756; 113376623; 572311437; 14082926; 369535860; 438150147; 299266096; 75751327; 370966827; 247763345; 495867046; 925523120; 925530956; 518276869; 972399206; 673104956; 1056293334; 845475206; 152227237; 611167480; 701921324; 524404778; 1030881578; 208401886; 379501399; 601800119; 1040059878; 198594076; 1037453263; 717577008; 666256920; 807472849; 449367284; 219677347; 6197357; 148272800; 324752343; 524863881; 717480827; 614595865; 556460059; 780667553; 486941496; 545423739; 1038107668; 1012335265; 68556360; 187833836; 75988626; 849616654; 557003048; 370646811; 746706827; 721411071; 390795075; 88943437; 624378835; 451869533; 14658107; 90894669; 197400996; 953240467; 152725105; 458569286; 640870356; 530550226; 349106955; 36633915; 281922344; 885955419; 177027058; 949652890; 1063183654; 499810888; 885736565; 329743770; 509246316; 696801716; 326104280; 59149812; 104415046; 364965165; 679077908; 1026484043; 91887073; 606471807; 424095534; 669846487; 874459321; 29043577; 791707425; 946070412; 121455905; 816632781; 380839822; 692867864; 413376674; 703479787; 660067384; 335070916; 488260454; 813845579; 740024967; 313473846; 555162919; 394956684; 469848256; 385757914; 158226786; 457924667; 312925244; 839042460; 646731852; 1004655455; 60089036; 93748183; 442349038; 642380595; 347865826; 924379574; 113476738; 527348639; 833087347; 958783341; 684262466; 729892917; 860739067; 860383705; 289147087; 917955790; 829186605; 886692738; 924353050; 757544149; 516909692; 653594233; 653511120; 511038648; 841111862; 177146785; 832734172; 477482925; 353546903; 465503674; 179957392; 692379777; 835160474; 676725889; 389725625; 659050629; 997343502; 363742482; 921868478; 646963952; 112481947; 758556717; 734674364; 303055950; 727621289; 1047580005; 127099579; 961310070; 274661391; 895826059; 895598659; 729126796; 391313167; 615530893; 331697406; 921600052; 24110703; 308984942; 797389369; 476771469; 516991753; 536859894; 931671980; 479804946; 774108497; 725692804; 148435496; 567623480; 587825187; 328367362; 929400106; 519448407; 210214375; 568847206; 326576360; 784394901; 877943449; 574509949; 547957861; 992004233; 792263973; 469058469; 633697439; 1003718916; 796482912; 605796230; 740806406; 1054693159; 633607176; 391817453; 925819502; 692134078; 774765635; 386967286; 1063558410; 190763889; 853994751; 24968717; 372350405; 435289031; 235564137; 991220493; 881681022; 18195294; 403741666; 121337394; 933185572; 557055468; 628528302; 657410290; 267687728; 685629621; 276790922; 358523978; 962792451; 1067945730; 565034593; 761605103; 1035317859; 884283216; 57385210; 710915737; 799875095; 315218919; 504992219; 173959197; 622391670; 479216927; 602628432; 168689162; 715820088; 184429784; 55563091; 727281928; 587471734; 20000954; 248863118; 159606537; 261331208; 740548700; 747192076; 685452623; 509376325; 407030725; 750181970; 399110187; 488581797; 97670977; 741909333; 256517619; 941371141; 529886903; 376345270; 981191425; 692360654; 92560642; 1015383858; 752448671; 905505482; 611121041; 100702562; 513908594; 658053865; 340993327; 60389156; 254808015; 563509544; 278886496; 574938381; 775974340; 211802695; 948371223; 831870512; 699007145; 14677630; 205297974; 180597423; 1002592480; 963448807; 1048447524; 106952751; 438309567; 779115551; 60868018; 951247666; 886328329; 792137804; 983535336; 890841523; 619840418; 879809070; 21866092; 930060476; 82373193; 419016244; 698043739; 406991563; 874792249; 763091386; 770516; 356569694; 733383282; 912812617; 171414108; 263915861; 680553413; 277316157; 326173048; 921018614; 784506850; 505367802; 1014860091; 316335966; 611751443; 934122941; 335133083; 556282092; 107600943; 765402581; 653582582; 344101015; 856253949; 1068502888; 69181270; 722227685; 927877040; 655642137; 304712050; 889374813; 202123588; 151502916; 529047128; 928580904; 97558613; 948350161; 914783147; 922417321; 655328746; 802512753; 302654973; 503584255; 380335887; 558996537; 159107816; 37705320; 129294788; 786237959; 440704116; 161701824; 148920877; 330827914; 917712863; 914210725; 471760265; 781810756; 310102408; 535243332; 925386831; 898382854; 426424886; 379671081; 421586400; 634200546; 393507714; 350239776; 665914732; 397545111; 435146859; 205652463; 200779283; 745564998; 111322245; 1053008016; 409045814; 575708182; 848517546; 341865044; 770877541; 343530849; 103588438; 502215139; 976064915; 107258045; 23913854; 580410055; 390972135; 613877391; 1008085513; 513553512; 48319659; 406809778; 372046880; 859707284; 651879079; 688748746; 449157508; 518113979; 642628849; 601169356; 687083746; 883146237; 122147767; 864864370; 440842388; 1043557550; 560543153; 926413026; 66227746; 20631429; 763781130; 1043973502; 440053383; 512376882; 534703628; 11671521; 957746749; 563586489; 605414441; 927243613; 200035755; 432924062; 385005677; 135601203; 631440818; 160700099; 319067958; 307224363; 382518787; 392951292; 294525668; 698484728; 357057737; 903689978; 63767175; 305290250; 109978885; 450664357; 63316626; 135778323; 986719502; 809536488; 599352933; 802564078; 546179323; 621878426; 320075053; 444473385; 926115265; 660963488; 457509535; 415867074; 265805535; 79322544; 515616311; 277171607; 842423375; 974558558; 388248339; 1072887788; 518391531; 292516587; 281649548; 195082816; 964280629; 78177160; 444149357; 928570302; 86511647; 186541561; 654249182; 834961652; 996391947; 166873571; 406544926; 438850174; 898220235; 664081246; 444211277; 834699643; 502595656; 190850026; 686830923; 488848268; 796408861; 156309080; 391941403; 674162730; 749208435; 51234984; 975465112; 519712822; 546947445; 36329624; 209038731; 58608515; 391364362; 174521599; 151759556; 372996702; 375516152; 695012655; 874802123; 274599056; 368149277; 448658830; 815087931; 650413868; 662589084; 989138755; 111034415; 423661122; 517011419; 587476327; 181013659; 118044397; 49401812; 883608059; 127822013; 180779370; 108172180; 21205446; 213147731; 96712279; 843727591; 822136909; 782323941; 430248306; 523719726; 223008104; 3919963; 434151592; 396641231; 987164041; 1050950001; 138742004; 332876087; 284808343; 1037279097; 576878435; 1946805; 516517009; 849754026; 400937359; 188355394; 291952499; 312603983; 522868976; 165058218; 968793396; 589395196; 900432153; 668604970; 984521505; 726136495; 427513100; 851821691; 1058878281; 1059062341; 718281370; 216248568; 719362721; 920953031; 906823824; 318007407; 529298366; 1032270485; 88653689; 752453521; 188559937; 519094866; 883409264; 812611472; 723059853; 736569316; 588627349; 254680205; 410222131; 708175484; 600695701; 846160846; 755497687; 541543046; 398555141; 564242111; 134710000; 27146602; 1060966530; 778193216; 902450995; 563082130; 893210056; 111438577; 893010169; 678976635; 292719523; 882450736; 503237841; 935684889; 1041848818; 453913073; 837296066; 778751332; 408350220; 879756834; 764770611; 226271961; 210700339; 204928510; 192795991; 768052299; 450027927; 1043093782; 764795019; 216756346; 154262798; 552284980; 409055215; 528931053; 314934919; 65701622; 464011358; 964185540; 660319595; 810286911; 799754303; 1013049422; 649009258; 419234622; 875020357; 543546809; 207946127; 197175807; 521861647; 226957153; 519806200; 629810662; 649123059; 618529764; 656704854; 244103073; 1072623863; 682352149; 438204696; 338118624; 828417573; 212173167; 242668746; 28256626; 739594907; 653400195; 542852150; 202767112; 892616778; 418307174; 40518896; 326407913; 810625015; 136461756; 79296746; 252413620; 293899899; 950255045; 598528773; 829859692; 538811744; 45596509; 71183307; 119701282; 632928684; 270027894; 282393911; 163514402; 791217686; 371983607; 76741656; 645136847; 42506601; 753791299; 689978241; 361633841; 828823476; 266289583; 536157506; 100755856; 469585772; 12694387; 434158047; 765687769; 468943663; 838795857; 84322790; 249185067; 460676727; 265712174; 720816725; 865431449; 712561945; 187655146; 865615952; 749467012; 140241608; 4895124; 292202983; 622807632; 995719140; 526350117; 215952922; 402628044; 757416664; 806474079; 859080483; 671674559; 185551409; 153258578; 952032190; 9699372; 657599765; 607811831; 1961072; 560476614; 272659772; 525143367; 422174702; 396672172; 740408670; 624345427; 897580557; 29923389; 356829640; 538411563; 874801983; 699825662; 1039709842; 785589814; 712886897; 41730497; 923392564; 548507636; 724120934; 473822396; 1005974137; 361408070; 819263710; 491511636; 834953648; 595108475; 210643527; 55938143; 685638761; 309244782; 584456082; 8738650; 955933336; 129944816; 246736282; 683718223; 66808515; 848947060; 254849064; 829695278; 355287627; 951045721; 571335002; 539414610; 637217282; 730614447; 690584073; 893263141; 776715460; 712639947; 891985085; 491039157; 801654574; 513781818; 466922684; 528349329; 713233957; 981490269; 159586281; 703768496; 1054599333; 1034093267; 809331992; 126240931; 692363279; 590542438; 609781911; 255443057; 670530805; 417192348; 884310309; 910256368; 251368256; 384589688; 317117972; 705673149; 209439335; 426780179; 960351034; 767567826; 805451197; 609468075; 1036217049; 423706882; 730851745; 548911169; 270824435; 676570330; 868507532; 196229721; 400026682; 251137961; 548793660; 1057214806; 4682884; 777303417; 660360053; 932405065; 575870340; 196504715; 66177057; 851601205; 355499250; 1068630671; 999598388; 1063558315; 787878432; 632258832; 23144223; 707494171; 773038590; 461572822; 1063637429; 709600810; 513160085; 350555761; 857821171; 918971407; 667655161; 845757059; 923848041; 92999424; 606297474; 189583216; 1007411053; 250927986; 262682127; 135170037; 1061113823; 985031789; 19836649; 916976846; 727397499; 413682591; 919407212; 794909962; 719509708; 701261406; 589039288; 925732596; 709447550; 371623601; 626105933; 127165682; 180334271; 931155648; 94167106; 974475589; 61759174; 668844417; 383419351; 470620602; 794254783; 85141659; 1041059602; 990897219; 449970413; 877612557; 1059646712; 1029359050; 834689580; 109463742; 26376903; 1058611682; 484226661; 303864277; 931291727; 518668375; 711684532; 902788953; 440781580; 194604283; 351536465; 1022243385; 350770987; 63900591; 548276819; 612466886; 1003457465; 839259978; 387150959; 1014429871; 549978645; 822449877; 82018330; 757994324; 770323961; 852241962; 131563708; 634318543; 576070818; 71691737; 369124747; 690861107; 837754267; 841676051; 252236726; 23969769; 571159444; 882570136; 687183985; 867626918; 1064750604; 195362821; 1011172905; 322592847; 460294123; 724498373; 23142909; 287738837; 118820377; 183166947; 992863005; 668079686; 238012747; 201694278; 529167174; 64505849; 696878986; 142401499; 214247820; 824405623; 153348859; 493725415; 647391954; 920608794; 808350535; 497675553; 159911566; 254564238; 737104060; 599789980; 1054351029; 940304932; 82997253; 233447701; 155524304; 557747822; 660400387; 666527609; 882211233; 824384704; 968678585; 513877898; 694918583; 332748726; 474951199; 404875799; 963028914; 275910787; 1066663; 8110585; 294494636; 283744640; 454526750; 1036713955; 401318768; 59319851; 805526438; 624840165; 346183993; 508401924; 277595530; 987382342; 943861832; 1018501368; 799662072; 730014097; 30706020; 814043662; 867504127; 1001001099; 290583956; 679455293; 568501856; 724506329; 955905353; 284697365; 303503533; 387800632; 51999019; 784851591; 924650955; 253878955; 120450441; 901602877; 62204490; 619606543; 547663946; 48336008; 382286203; 747130311; 26320547; 275101474; 505930311; 310781628; 837096724; 160418768; 915548749; 874749144; 432102856; 639395669; 19154741; 704556617; 379341089; 894651206; 1006997065; 577996112; 389232631; 736591252; 273752578; 615387562; 317888048; 981238607; 241788539; 59549607; 272716723; 241792284; 917989568; 199715991; 955801703; 654776442; 471258659; 8989768; 342018469; 91493370; 1029778279; 573743475; 540661291; 918930460; 1072609992; 757051784; 920737658; 610497980; 11514850; 631941008; 385994359; 69354573; 737526938; 1005598150; 248040334; 991181926; 258012438; 1022337620; 507779472; 180879419; 465670862; 551994142; 1039333797; 737618057; 1049129665; 627575002; 155906810; 233329480; 42187432; 410701879; 547681731; 1040467132; 777854773; 911823573; 17015984; 641668736; 478235103; 349939991; 615823881; 473894961; 12226696; 454862101; 142015280; 113679649; 186888285; 891543449; 474028949; 426662589; 113695078; 885690530; 577777905; 159921432; 251918214; 975334012; 557577694; 368588890; 140081564; 742613872; 502669504; 788249465; 1013802595; 317861405; 536784547; 801233617; 489396363; 380316311; 1003770544; 640653282; 794017816; 931238516; 126871750; 447918071; 953076739; 775224410; 742400973; 794638840; 317026551; 957104150; 917451670; 795708709; 485376726; 131779810; 351230230; 435141241; 856759980; 840735625; 591815201; 942710746; 591922003; 822395172; 66737636; 598501721; 552889430; 37805051; 565324351; 418955387; 970864040; 641182950; 907863185; 345838688; 127478406; 692439119; 324073148; 878216056; 359171154; 497871540; 43801333; 1048829808; 491240665; 333452216; 424528771; 752627291; 676176647; 621480565; 983502138; 179758321; 432370348; 823271917; 77887371; 1038268021; 1011764997; 631255729; 1034453307; 627952231; 649136005; 362633343; 205756642; 37756447; 655873587; 190619042; 939535557; 476450116; 201286122; 1060902742; 515063845; 926521018; 343990364; 747852489; 593487048; 712546595; 582338117; 146403359; 825819908; 733131628; 915642942; 798606546; 770523636; 221554011; 1047130489; 698198625; 288344818; 280761604; 1003920497; 632223442; 171749237; 6468336; 255100272; 644907465; 716324235; 127195209; 467609677; 48150847; 506987703; 591255621; 301135507; 281912493; 15745319; 949788600; 641883880; 648411343; 755652009; 42828115; 906679967; 780185898; 992404968; 443011638; 435954447; 854068273; 621126538; 375563761; 16989253; 568300510; 618087923; 624040081; 320914978; 268790362; 1050745386; 635220831; 630682920; 258616710; 363926280; 114134860; 644894118; 426357518; 459038060; 830643575; 191622975; 417698211; 959654322; 536400329; 322407084; 607345401; 740628934; 875669809; 583300740; 770583410; 294243435; 828015210; 73357796; 794716083; 361094372; 919770833; 917439072; 1008740608; 684539440; 544854888; 506194293; 398997426; 1058950419; 105442866; 872072860; 821466414; 169742264; 792587472; 556130816; 784268209; 1012881321; 629077693; 47444191; 728440877; 599883326; 593417795; 603627439; 9219470; 196592882; 31452254; 462851980; 988302245; 946323632; 34180237; 786888406; 17266568; 12483779; 88684281; 96611581; 728052402; 999766547; 368362697; 171313470; 635334057; 662722479; 376607310; 307457218; 557010160; 369112077; 609306582; 728273465; 132874257; 439795617; 824930391; 579349931; 739432589; 610038903; 832814240; 1051530478; 929521009; 767573545; 794314358; 812395872; 84785408; 1045155443; 615649810; 829320622; 61960792; 182635084; 492838652; 724117529; 1071187900; 906196230; 286199273; 200318235; 416461943; 596759136; 267250577; 194366664; 403256921; 573291966; 933589384; 111144932; 475529247; 1043524060; 909093264; 944888755; 834024531; 183997765; 780836506; 624284454; 538126252; 255813123; 601029250; 97147726; 737288032; 661024897; 38233635; 452088158; 1045848030; 274376657; 153782122; 458321274; 796887645; 510663351; 895845586; 862767592; 975020125; 953062958; 151790429; 106569655; 255680612; 370615353; 1021104219; 678802345; 753896914; 221614593; 703876481; 484356571; 473500530; 910986712; 132201685; 222821653; 562656788; 146822084; 772462942; 826533284; 535176958; 949473278; 299161234; 570345315; 365060340; 917213267; 373575128; 1029733117; 1015000642; 685653918; 182214555; 1059948523; 182206426; 601578209; 647032766; 1007176253; 1014545519; 208488758; 112560492; 202554270; 969921558; 429269207; 261286613; 60834138; 1044216518; 205185955; 48348882; 608541723; 268922098; 1036740041; 59809712; 761013186; 893480817; 672516631; 144247481; 464920782; 913270005; 391781350; 193198563; 275380899; 648467778; 368026542; 486843818; 624993826; 183996395; 726507462; 393119912; 286555550; 1008485181; 1055451687; 1021668393; 902280284; 301218126; 180509612; 215578294; 968480381; 473852761; 818881373; 953923112; 84104522; 424122584; 386513189; 857775033; 316145670; 433478714; 694631844; 1072153445; 634252349; 592300425; 844099483; 963296213; 758568484; 374469373; 1002505958; 3219423; 320380192; 774644360; 901182112; 718432821; 927342976; 298582444; 49180664; 124257168; 1041271413; 225192563; 144848741; 222110503; 1000071070; 918207251; 918352836; 719334562; 97963619; 802275365; 596930146; 123946235; 378876215; 917361418; 841027278; 1034353677; 153903443; 737652097; 542302653; 130093909; 297405159; 770152920; 349730104; 309259475; 832788889; 669417610; 106291887; 994862557; 1056585123; 911198011; 496788114; 756256822; 797566604; 838222022; 293158142; 427293594; 711850212; 558191710; 639126770; 5578314; 339186769; 1023445514; 264819193; 801747899; 927535713; 991775282; 575695734; 712001281; 657160554; 56702945; 452928685; 597188759; 334403221; 335515105; 215434885; 692670884; 20927069; 389308718; 718857783; 278162255; 831931644; 455314737; 512177417; 800927436; 99032819; 241658194; 463444747; 501579093; 263072139; 71741343; 583300436; 747241300; 325913602; 184523829; 218323317; 882588345; 887735980; 984776560; 840114079; 653535744; 523487757; 199282117; 395785802; 863817351; 508395384; 44496932; 578048982; 677552822; 910473523; 723834687; 493126956; 219759150; 893757408; 918870703; 187660977; 998502133; 155740797; 864202335; 967558906; 843699988; 205965024; 377631715; 838550876; 281783985; 659217905; 1046819518; 8235695; 730955981; 569298239; 387254603; 1049243234; 493963788; 283912852; 532003053; 839948069; 209129423; 995224153; 997026681; 125834252; 296559233; 539091373; 791231437; 984209639; 472552282; 415254492; 39422898; 930819900; 804089763; 1059031168; 788002696; 523469523; 1040026569; 676984007; 497142930; 484190706; 798103639; 684504915; 779983925; 764000426; 362873773; 696788247; 244606118; 107823905; 160850520; 659046085; 446818481; 197821291; 466817468; 828263656; 525772290; 811178364; 955908405; 323620294; 136471358; 426654005; 855286171; 261794099; 1027145474; 939254745; 977651327; 54637582; 331598223; 246252258; 1008366197; 1025137846; 738100029; 279540686; 934151454; 441157352; 493573399; 996584011; 596810126; 785170581; 876522613; 439699387; 264543907; 344000800; 232179442; 307447953; 991326047; 55333135; 999119873; 332117609; 891713980; 594488700; 135636513; 614372815; 628968871; 222796504; 659467416; 388585480; 399725387; 909165905; 220507764; 786466275; 95525986; 491510851; 610728316; 555673263; 1067599562; 879771692; 1066081471; 152077409; 41570801; 484344139; 654409340; 355958740; 888221535; 446359569; 414191771; 530493535; 53200523; 131124425; 579690198; 537881481; 178181532; 301029062; 922696532; 929424570; 686328612; 1015990263; 1047603330; 329103202; 399326119; 260637723; 702677663; 418289209; 102465724; 562304994; 931647716; 310644990; 819642247; 20898932; 630451868; 915514083; 342531073; 489923607; 238513965; 102096864; 523545439; 1069242922; 461963949; 171777781; 390076425; 586561590; 459283836; 179858966; 428435352; 959863979; 354000601; 446882807; 985307640; 951919652; 475702402; 526510710; 970383880; 783815712; 522444404; 145513419; 904002799; 336149223; 773642008; 212101291; 533110930; 496436998; 924243451; 631496444; 928487828; 352895010; 953678435; 527969731; 109324048; 411852221; 589795268; 179751073; 726529494; 500704082; 760884285; 338556183; 966860923; 668115923; 129201728; 325506998; 1065589742; 1001145936; 785622965; 627047586; 660387131; 542790799; 137705752; 764554636; 131391544; 26522532; 1042787698; 90236710; 573727571; 975962651; 489227230; 894438324; 940885934; 974720942; 603753753; 140991454; 259039464; 779202864; 879950578; 668940954; 914928176; 985455072; 864495330; 720075473; 223558678; 40696934; 620847963; 341923926; 826535737; 709845479; 262230626; 359825857; 574661993; 672414875; 111546199; 389077717; 796002707; 756640811; 856940818; 8913267; 29090686; 211566137; 506083128; 333063029; 1037815301; 417389309; 1004210801; 81484539; 13052353; 914444239; 436258790; 550291444; 1067559383; 209279735; 427633260; 746287723; 14685412; 620082597; 567472077; 313429498; 531493680; 26670929; 446235828; 1037971564; 1031337545; 639308886; 831683515; 906572862; 434871909; 555444049; 143163785; 762767245; 237531529; 323581780; 667944331; 1057044167; 106503351; 954536772; 922481261; 426159970; 990449076; 193700804; 363423100; 932200512; 481633200; 626920311; 590125327; 794907874; 764497608; 89903353; 207099133; 1025310621; 46044981; 873467504; 808193803; 949005453; 736719504; 216338930; 976429861; 858530901; 589127520; 399641069; 577696295; 527081010; 96336212; 500976736; 260234494; 497605012; 347565259; 749704361; 766876187; 186918332; 538250352; 589348159; 857339630; 464184467; 1014965367; 73623204; 482430135; 500363549; 11953058; 382044926; 292360668; 236298219; 439488591; 799047269; 603080536; 392256798; 81755745; 623701467; 233989470; 1040641668; 823381855; 328408338; 868682235; 941230415; 415048123; 552120451; 872540512; 7113491; 3504199; 619106390; 606718122; 179947786; 193219909; 847371962; 176222783; 725674273; 919417446; 155782109; 71793433; 295410357; 379946620; 136281753; 528467419; 826624945; 183096935; 828557552; 552938169; 140133634; 654445575; 965118296; 720486432; 991078459; 928625072; 636841127; 380323891; 28153059; 631613480; 815059464; 540315688; 691588955; 688781688; 986226817; 463847131; 19534720; 973369621; 863887604; 1069493232; 940323548; 188866365; 1065805565; 477068683; 890027021; 255543575; 349723332; 204437560; 54629711; 1068606022; 931602217; 544522661; 193235148; 852312693; 191096765; 50375988; 149796184; 1048037989; 945039688; 825913662; 531100534; 703523221; 733779428; 502081934; 950835397; 312247122; 346856183; 765907267; 675165998; 704470610; 323765223; 816565792; 229410723; 949011062; 429130445; 212265430; 690215102; 163289109; 1038712856; 436694828; 209215379; 102717045; 1022920959; 918206192; 457846545; 705926558; 450615939; 818059971; 1031634033; 125237487; 1041159880; 61867716; 791538760; 684764016; 277678275; 90182311; 33808081; 1057333536; 688489036; 376424332; 319320320; 132414698; 236621494; 44558967; 665891700; 324011277; 389686778; 219362136; 298982479; 977662518; 722855686; 1028413425; 122100408; 479944135; 535121334; 281723018; 88942786; 370946289; 639997505; 399308835; 347062558; 90961342; 322843898; 550980993; 733383759; 289964076; 772159232; 460910749; 458882250; 279983023; 284928718; 224259781; 142185079; 276262880; 967616425; 468982625; 368009185; 315178420; 879890520; 102873266; 90825469; 907858857; 122013907; 191194511; 1006602146; 383526788; 365571655; 483493460; 563006997; 13956334; 824587762; 407066207; 231249077; 313920972; 780959662; 311966162; 243098682; 262758286; 516827991; 338909626; 764518206; 531208844; 149266275; 885531422; 198069860; 379817427; 180211390; 927936393; 260817153; 309859523; 226591351; 1053694304; 783672502; 281300924; 491665460; 558465655; 720863344; 315871463; 290880767; 202639480; 57697309; 668190526; 1055562690; 915251710; 1034776756; 42816533; 257561130; 969944469; 587443339; 17892796; 1059163300; 209710426; 888788788; 981666450; 1063604182; 580854551; 576071896; 695648668; 339040165; 757374274; 17162817; 373424072; 680147520; 539583644; 182523201; 815319546; 1062374715; 532370062; 941678572; 397476803; 724471785; 833356566; 845498533; 206964410; 713902110; 574002058; 442769991; 330826088; 1027646531; 529627279; 363189638; 538777292; 586651494; 1060007005; 258908317; 1031409680; 389767008; 978984024; 783593981; 483589479; 156173442; 683699943; 73995318; 994514701; 396058096; 601677822; 112066974; 23826598; 79784864; 72913304; 185678175; 639446906; 792326206; 256399520; 444916376; 267653878; 18385187; 367932578; 986484901; 865645919; 238484183; 189760290; 477684982; 593598448; 157285253; 49262305; 947317407; 606748130; 87112638; 663958885; 508659201; 902527366; 583050193; 836741075; 723265761; 896991133; 730902915; 886914477; 1041255120; 655594527; 206800189; 259518739; 976212660; 305219305; 301336396; 4631858; 814494781; 1066980810; 78187004; 844836322; 250017951; 453514284; 735682066; 603989219; 49426162; 123803231; 937913867; 630447125; 107932993; 81981701; 241404483; 1057569463; 143658070; 803642454; 425740121; 1055825361; 870914921; 352943791; 661455283; 443189339; 798670286; 976677843; 144316849; 142887760; 407846303; 432560797; 848250736; 531917762; 612628288; 567249858; 376537614; 429441810; 444911666; 410654200; 59053455; 50895890; 579051547; 701755388; 638213849; 49643852; 366672032; 839177400; 771141660; 578517413; 920012430; 849951036; 383384314; 518201060; 614714137; 638454381; 706540945; 152732553; 389626617; 259662501; 709482408; 734872737; 176637307; 239916008; 758841646; 86191189; 841595791; 107325577; 178122755; 1056487905; 457749447; 569752995; 263576216; 779327457; 934269552; 931735377; 919154321; 246500262; 890725035; 230111213; 520606832; 1058377143; 968645879; 843060269; 206102914; 89659521; 170682290; 790163169; 653217069; 1035774697; 196242469; 188466484; 943333089; 748385546; 276759192; 854885921; 128650368; 74168066; 968801585; 866609861; 400533031; 1051038778; 481064290; 266786015; 984591326; 46976455; 503825872; 868652806; 159894255; 689584914; 306591501; 984380620; 192572603; 88357928; 1057878224; 784742228; 361673092; 687115199; 858443874; 680951037; 881984582; 701411523; 865082876; 232481010; 151404943; 74389902; 961707181; 1045619600; 378396250; 865948685; 438896000; 600587452; 358226784; 99870440; 860045658; 364583894; 769625230; 138539353; 673628696; 797887057; 740362529; 591169369; 506552929; 205139668; 568377375; 146539806; 629486943; 192796705; 806713610; 790120922; 317613444; 38973399; 1072227551; 775235559; 964277007; 184596025; 74273112; 638796172; 137281117; 250197420; 600559653; 405608051; 737387874; 526693660; 220423870; 1000076564; 1034812211; 1062281465; 437465650; 724058832; 757895289; 6770616; 799726457; 728752259; 216762367; 863569785; 829452038; 1032505843; 550467815; 1001405365; 340877256; 964279687; 262845838; 776054827; 60729617; 566093544; 39034733; 640934561; 763340553; 477976129; 848651675; 319046449; 631666245; 1038492802; 724896617; 291947032; 720507419; 575698897; 532615280; 702436657; 1059242523; 108650343; 258887911; 694750374; 911924381; 675286056; 41513542; 334971239; 10258686; 364562828; 64456897; 796707023; 1017830158; 767403589; 865928399; 608120202; 23683086; 682973493; 357820718; 480170449; 658915428; 831757469; 37947378; 307231439; 588867716; 520201645; 390803309; 520398591; 116503423; 1030810621; 564815919; 600876386; 949213556; 82719806; 378443188; 522198249; 856292434; 767060237; 113178161; 797601532; 650039574; 903695416; 405576237; 743914326; 284683152; 617340214; 1004082669; 464536293; 939577377; 946021249; 261290679; 641916226; 569710573; 629346884; 385301235; 965617575; 145576686; 830779611; 781415718; 524024401; 991242450; 899133450; 347507593; 513150328; 65692818; 197072135; 936344247; 1885517; 37934505; 288663659; 684048606; 17442590; 641936949; 1001084164; 912591360; 844660810; 590463080; 252483571; 450977329; 609480569; 251892774; 870280575; 178125810; 332128024; 753451544; 1073166174; 626535131; 1008369960; 850957421; 954473073; 124939578; 991554967; 74613341; 733208360; 647931695; 557525769; 655293499; 652026814; 1065354665; 980809356; 756421525; 88484603; 545280560; 916387871; 744400646; 560969981; 219639314; 653237970; 577939230; 570707902; 849240012; 721199298; 2432929; 163193691; 409983988; 476058559; 195001002; 920211113; 956644492; 759314328; 303348919; 61371513; 311303066; 193647637; 130881792; 3771866; 1000985957; 518174965; 12640412; 914913517; 798288119; 700360234; 96423459; 39457140; 378596414; 369940293; 902365409; 82295039; 897217480; 116149373; 50225744; 785279979; 399255729; 968024822; 555146685; 1038436337; 296996770; 998592897; 681281330; 376602438; 759470760; 438509549; 779429821; 779751579; 342696929; 388755689; 138009038; 199065812; 466247242; 139082561; 477197432; 895900486; 494423649; 660314268; 90285656; 262571798; 763815833; 11399690; 169566550; 497362673; 54846382; 500376246; 538854919; 709959634; 754964863; 104861780; 898745404; 849664314; 878776936; 77856201; 237600666; 43154221; 822169691; 189589214; 474976122; 1067567015; 947718479; 384252548; 484926888; 456014692; 810984677; 42468999; 671105099; 321812871; 856025165; 50096703; 777097595; 357639787; 257026395; 280827590; 21366885; 707287997; 979998407; 402165777; 154851082; 696540263; 332606583; 662000617; 236977919; 12363033; 124558596; 249835224; 539310752; 239423426; 17125637; 231326229; 840472267; 974854723; 1017665799; 981712948; 485683933; 1037841979; 1029129782; 48290595; 793847728; 232653096; 855902974; 218414559; 459226097; 801258123; 852011868; 896026366; 964253325; 233474464; 642986625; 988599316; 635573433; 483684790; 803008182; 379558583; 744291282; 140673843; 983530281; 49104926; 775736435; 338753423; 1041370206; 404263942; 9683265; 800671019; 578165018; 982773794; 756621104; 214941684; 86511632; 265114771; 798382282; 548142683; 163689958; 981454808; 170988690; 585132378; 338256093; 732621898; 639210868; 175919606; 173848937; 820251566; 172383268; 126310759; 556699234; 989620762; 274194120; 172555733; 393378869; 726850634; 96535911; 411018463; 688068331; 209064536; 297452142; 1059063931; 959399374; 643022301; 720876367; 10656251; 844306277; 29478373; 766464498; 191759444; 74290354; 213704379; 931973223; 3983840; 248367195; 231751163; 166702472; 595875048; 968556363; 913813321; 707887696; 688030315; 658329289; 1059234105; 1734499; 38654345; 191761179; 162297407; 329213908; 766652128; 438099377; 128669839; 516425621; 629322669; 537226958; 591903507; 897938052; 176560162; 138393096; 447582798; 83416384; 510283138; 914148027; 228505492; 971250866; 810904050; 432472776; 425314556; 617850034; 185944253; 81076750; 304314585; 164353601; 711203571; 363232870; 679969401; 600560810; 834062344; 242989507; 663997972; 363751751; 274604526; 67999754; 571737377; 958036863; 398398358; 508813541; 998409233; 672506193; 358846544; 306724379; 824806846; 482388047; 147860783; 463073899; 120085518; 260348706; 350762594; 504516757; 852783225; 30119680; 883641913; 47587629; 988198169; 266785075; 762901043; 212961184; 308342634; 510643455; 628540713; 17555728; 781522668; 602393239; 602892173; 181170765; 84404559; 158881564; 445064429; 15581569; 813904713; 1031344614; 5350601; 750099059; 277248880; 411047657; 33795577; 132736643; 118623016; 601621263; 603313469; 589493433; 790700070; 201802727; 499382907; 578599523; 785021261; 430373954; 540755958; 168466242; 94821471; 333863018; 715490488; 871973198; 1061422211; 355685187; 559651675; 931224931; 684116664; 38227104; 513707278; 908091208; 1058581808; 313075203; 916310670; 690761486; 110903216; 1030554976; 3172470; 566468191; 899564968; 397547440; 1024757932; 735422585; 561101578; 371445650; 1025758620; 736654592; 359325598; 494434079; 418431303; 1052787025; 757831877; 774849521; 564344265; 827232114; 658869773; 1013821818; 610108669; 801755361; 618443315; 913395664; 971174667; 163032266; 582629065; 692197205; 966422601; 887778728; 109720411; 815089362; 989850070; 863650822; 904870344; 464357245; 507644584; 455835559; 83979248; 98184224; 728525318; 370267879; 376357427; 87132097; 1051190021; 853083115; 792208340; 114101456; 138012608; 738300914; 804473033; 314062313; 64390031; 568071826; 46914818; 648265274; 244114327; 1020206296; 458956443; 533734663; 471419860; 712465577; 905278816; 826579800; 381393306; 619806053; 210870142; 64002835; 1004406230; 774083779; 694906542; 1033313471; 641355120; 107509800; 380900483; 919367731; 1061960347; 680332072; 873572567; 711456336; 553549871; 527417779; 683304833; 659799918; 277803880; 371827866; 958888631; 850744538; 1002474652; 793511368; 894445996; 517779519; 610057065; 213672905; 226708881; 316721159; 321298676; 38414470; 412290807; 94770275; 116364317; 828739958; 242128403; 303171531; 986026067; 991502178; 655772597; 708287883; 679664814; 590747033; 709630577; 654682589; 869506283; 535793104; 476819592; 119412921; 147709835; 973509924; 521596402; 652049902; 135174436; 1035300532; 811692875; 205112285; 92211629; 905816539; 349084489; 234570341; 506093229; 717938135; 285351927; 145444953; 568764440; 438153859; 121973484; 1059507894; 314928088; 74829610; 992849370; 245302137; 602142459; 580504704; 582906416; 931084906; 1037844666; 790798612; 58480916; 213383205; 863301273; 922044681; 1064916044; 1009065420; 494700966; 742069099; 610691497; 274086140; 284632744; 182238772; 143633736; 871878481; 1043675008; 610386457; 550769713; 413405581; 695267626; 108653916; 488264566; 426941961; 101493034; 24711392; 183040661; 531015997; 140121654; 256654865; 975688464; 946798283; 899986065; 106351038; 85686542; 221964964; 1062156630; 224473463; 11889504; 818903031; 4632805; 530393059; 353910205; 994721980; 244637023; 204176; 454340719; 1043400471; 900902608; 463620563; 185706195; 18632270; 340405111; 1040460931; 840033577; 40817288; 177851334; 667919086; 257589975; 492899270; 208881479; 326115081; 720440385; 559513293; 882789822; 725631612; 940787668; 680069740; 640120967; 923107280; 30917371; 247071374; 232541887; 974993684; 114873864; 1026810919; 793945600; 21427264; 296960951; 305180446; 843487846; 482663230; 464478693; 638149861; 1000487771; 873059003; 856634279; 1015651432; 562664797; 928335147; 962442470; 140566309; 454502022; 417144565; 112243460; 613644857; 491797579; 241067498; 1022778186; 519395543; 1026712275; 67596971; 1033828510; 1066547788; 393360870; 539086257; 158612661; 894960458; 608444972; 485409935; 56703242; 487024589; 691848455; 555085964; 44445611; 683781457; 247476959; 250087972; 897326526; 950693933; 703446143; 353887296; 358149863; 324294790; 776683044; 860963755; 353644084; 776771740; 407324335; 298066210; 356084608; 705022569; 604164226; 736745078; 485298596; 151209442; 596172636; 905325079; 874683906; 369742108; 979170012; 65133055; 94620281; 709121185; 886736248; 366323032; 1052431465; 1027600696; 382326837; 738043424; 1072589472; 474391641; 291801021; 574051818; 218777516; 996887298; 984215207; 180210799; 830372432; 572058125; 819069980; 441954776; 754906462; 1015054589; 251072875; 332629035; 417352457; 623630459; 803654387; 283335639; 713674370; 650571161; 27462676; 459134969; 768297496; 225080824; 939626453; 674897642; 108660018; 808657699; 973792455; 251056284; 325712498; 42581278; 455551178; 1064761480; 608248828; 236822309; 330736288; 585036059; 890911096; 218514165; 480440824; 10445752; 54600723; 781262969; 165557586; 953102421; 1044048689; 697408668; 743158918; 556354816; 66534422; 364577790; 659354760; 96000035; 306606175; 586681904; 534477124; 764420195; 981591758; 1059515660; 688449293; 109055015; 509008188; 324881957; 10441929; 791160328; 881657188; 137037045; 490058243; 112676970; 463820308; 396140015; 847388413; 627508144; 689318031; 518103708; 261690243; 790046552; 1022206058; 152869888; 972608523; 603600266; 191394469; 296296745; 547731741; 759670251; 81205834; 307419617; 583576517; 329092340; 417323631; 206090745; 625428157; 72580533; 76382355; 1019489971; 713021416; 847130195; 41934835; 977166962; 1069039785; 701607714; 72920259; 799980870; 117231774; 606372603; 661856677; 1049499808; 210909738; 728546110; 957669044; 190057828; 123593349; 391755402; 52072239; 225254884; 695469337; 929811820; 355839282; 355200480; 125605575; 478765137; 47792014; 820502818; 237168129; 90106908; 436956164; 735014273; 241325801; 855155900; 240896107; 485757193; 685401851; 1036267329; 603004401; 203493561; 586707716; 1049924822; 775053116; 287191872; 298547459; 74448709; 643438523; 23950246; 379051583; 666001673; 490481625; 485353872; 84032516; 1027793129; 816875566; 766928832; 754488281; 797994230; 231649618; 454213211; 1001177276; 1048220165; 782814094; 526316908; 1066301911; 221505119; 849240750; 1044345425; 55962589; 297890465; 532410307; 862583202; 511327842; 1027488434; 933440419; 8533027; 276785745; 614650702; 270876257; 1033216456; 742983862; 571419318; 697062274; 198168493; 60269052; 1048361418; 446277547; 287866684; 677933103; 685527887; 1061668555; 29901585; 495301199; 558691547; 888923184; 988190776; 953016610; 1010836725; 903963736; 503732869; 98335760; 779471616; 309027145; 160269715; 163326806; 981866386; 767565901; 642214926; 140614907; 706124963; 233527969; 913626834; 713485087; 190839423; 918807821; 719654974; 858818893; 914887008; 484899873; 837921607; 792368505; 918068359; 310034084; 899581760; 23651008; 465626922; 220842715; 839341848; 212890189; 762648088; 314201246; 424422471; 786889993; 223930374; 411409788; 402811008; 479579267; 217573945; 493489789; 394727262; 264481347; 913696232; 276490060; 262147892; 904601807; 275895670; 223463933; 404315196; 958149344; 701848299; 123805479; 371737358; 623167325; 217714926; 1058141744; 503222763; 779318329; 518499708; 799538854; 2463288; 294531027; 188016891; 535176151; 1025882025; 11310521; 252405866; 607159900; 470908623; 227791558; 460899878; 207751869; 420489138; 569766332; 828414795; 445449269; 290611880; 188156784; 63474312; 407644557; 547294414; 386790694; 552334221; 961034139; 602030385; 1062506814; 160833183; 672723361; 834627224; 465411219; 146205235; 4756149; 98180590; 610564343; 183963152; 750211683; 894045098; 133090841; 794132218; 537137633; 772539751; 169474040; 226200101; 771870911; 303282237; 461158490; 853429699; 422696750; 767129088; 998503533; 202731022; 41310882; 1049444627; 182830230; 60615658; 328102496; 572741067; 152583623; 899345044; 383230606; 828093753; 871139332; 622822384; 808671322; 120910121; 181323264; 610868797; 140416372; 696584876; 404662524; 63466093; 237049896; 325285722; 568709367; 70879106; 806406166; 837919525; 547390414; 267130352; 406199846; 801732968; 1045449396; 465450634; 953682040; 609347198; 144043836; 443491805; 423906062; 148249271; 529146942; 91631344; 144216598; 915946267; 41949687; 272192475; 105828269; 684643155; 293577710; 210729781; 1009625144; 654439571; 553351783; 643703676; 879134295; 1065120999; 684081766; 160623002; 92901218; 607169517; 283574800; 602285469; 729885326; 369625947; 1030683163; 278579719; 525348837; 882278198; 469412464; 149858814; 997250977; 88101493; 144042053; 267664214; 727508011; 150961350; 252202014; 465229875; 383353739; 633608127; 256407902; 790262671; 123698715; 35727239; 148800230; 956826285; 1036841191; 596889756; 563226176; 968023817; 495875993; 365356179; 103506870; 177811611; 958026544; 465750330; 182155180; 525771751; 493587395; 358886694; 626732827; 783816448; 6425162; 573433833; 741793627; 514854523; 351843973; 566547254; 896671294; 1013603283; 827981783; 724733992; 915685977; 831113153; 535427266; 637364231; 365014496; 156109768; 470360432; 114146590; 483696447; 104767144; 958983064; 771135404; 160497306; 599762485; 661261610; 924085978; 27124055; 452029045; 56499557; 755825590; 432538967; 562661724; 26935968; 332999655; 128065452; 559573130; 872306047; 663893225; 892847633; 1043394266; 557538095; 956297094; 918338309; 865624108; 401403692; 1059031882; 305889742; 790995992; 573688464; 17243716; 168085889; 702535983; 278502833; 147496127; 995421438; 459752958; 799725782; 35711056; 46699514; 423633322; 33437106; 377851662; 27333000; 307389212; 289585393; 566171312; 620851112; 754586954; 310708506; 718757502; 961691813; 422440437; 810723007; 89341597; 666874671; 908962995; 544238788; 848611902; 294994026; 1025949963; 34726314; 971806491; 274607285; 454912194; 237607854; 376966736; 647422509; 815516208; 636931377; 70336792; 423207791; 323971226; 1006683357; 1057790165; 1061977130; 300890187; 438942714; 503801786; 197418170; 1026287470; 922009172; 258731934; 394150225; 666886129; 259872615; 610506925; 733348953; 15648027; 604651146; 1070220684; 131510996; 390463433; 497701746; 634291382; 929987345; 149548969; 506296956; 615333633; 365349551; 463230482; 351415624; 1014735034; 629118542; 1045955889; 50684389; 879831842; 238436685; 369226621; 925907181; 648630206; 903805835; 722929772; 985424982; 904817025; 334087105; 283197102; 865600374; 460721579; 1065266654; 293061829; 420200689; 938101072; 992962114; 349765457; 207797755; 294775418; 826469611; 42039689; 592107473; 549200936; 1057268888; 159652482; 104766527; 394462578; 68355410; 296072134; 997573905; 766940818; 1035933788; 1039499048; 111101322; 978183506; 733816006; 1034240075; 276608476; 486583111; 586652515; 50664806; 551561237; 867445953; 729194196; 659993241; 1054450983; 488786222; 117370908; 241340293; 379184455; 352225863; 572824346; 288598600; 421622997; 537762842; 606629046; 770195752; 107689250; 786292861; 359813276; 314003018; 536240811; 568304140; 200293605; 975581638; 328328609; 205100465; 634401734; 761151543; 751143783; 911226911; 711630416; 864967792; 841230635; 697249075; 70119724; 331382018; 789243913; 1052409311; 661354930; 981422804; 299239856; 592132356; 289075542; 731518578; 647699882; 615048729; 130341249; 770613677; 1033455596; 178349132; 339819652; 22180302; 651309446; 198825367; 782492690; 753920837; 839514051; 15414264; 1054687256; 468437077; 270977279; 100931147; 609954080; 695524688; 861391331; 976976285; 391099018; 494005482; 949051282; 917425688; 128720091; 967721433; 1072502839; 670809476; 249008944; 252748636; 523639518; 584775990; 938573762; 417288478; 816626987; 303613698; 530767630; 615496125; 873376160; 957459489; 506943236; 83940600; 175750537; 512862689; 911040568; 323335584; 187461335; 435907644; 840610501; 115915080; 85591226; 155726855; 1055952138; 19641831; 69477032; 212734002; 548795849; 227952147; 905356563; 592699005; 348002042; 843501519; 212936672; 1045273255; 69161640; 1068057718; 970290642; 1054562359; 704307885; 674750494; 636231579; 71862453; 318727756; 949896607; 342047430; 524393409; 211553858; 191123271; 396686407; 349835118; 335637964; 430735657; 706316055; 655842375; 407304746; 245383243; 990886934; 91511212; 654672738; 906840052; 234141595; 183909917; 578857672; 111384573; 134819007; 117297975; 259051483; 1027748575; 872266545; 37422171; 21388531; 462772350; 585354701; 637087930; 96432417; 561798673; 390669272; 900549146; 764643277; 333587734; 295944112; 301783666; 492614078; 149414529; 1001408896; 945188154; 909257479; 931589401; 385031619; 619807190; 541323880; 271005014; 426331721; 1048472413; 645869853; 439178307; 263658856; 610776908; 1008442288; 754931592; 1019440699; 532700490; 871735515; 411051654; 133244650; 843085042; 331821091; 380043024; 366418990; 349763671; 979868166; 207176854; 818934608; 401878645; 770255901; 216828535; 635279800; 725783161; 489788030; 354915161; 768328370; 630541697; 828616209; 563671335; 800162462; 933980809; 149507906; 170823777; 452150232; 388635994; 961247802; 206838812; 349251779; 389487718; 122327399; 375432910; 435730045; 589772571; 791683081; 245695651; 734321329; 267524163; 895219735; 493556605; 47728335; 484469041; 868597532; 1054083160; 773410455; 1015819695; 426181637; 166549081; 353489182; 877823123; 697690423; 130001917; 665720805; 863027054; 12427093; 740783317; 871538324; 1003990931; 107425752; 251976436; 149111353; 427127526; 758590683; 239347853; 177893462; 647479050; 1012063553; 184798223; 190896058; 164897171; 375851057; 190161416; 500192349; 198684951; 947889042; 695838654; 809004000; 884668491; 52148429; 732964900; 322163366; 180779146; 352627834; 532822540; 361591867; 760275859; 308565164; 835467883; 497786523; 687110261; 301908823; 844296173; 168148591; 235294706; 701598792; 654388725; 800913151; 653557531; 821025827; 531573847; 595895035; 82400356; 1049948930; 324093410; 562901764; 66225099; 791264026; 794848782; 476838783; 889887819; 632654696; 839336736; 1039505056; 560884956; 774676359; 111520374; 642600079; 868452982; 430063088; 595783099; 1046783367; 524534278; 302168675; 878871870; 457266504; 825577403; 523248291; 502990449; 943516758; 26007209; 974188060; 1065991962; 591488542; 751354256; 32840263; 268999934; 305191116; 217861718; 841996745; 469461320; 670435513; 39348781; 408855765; 1063771607; 852601205; 30778640; 60013636; 778039497; 419959808; 636622685; 896702871; 1033922797; 1064427387; 791989453; 565826476; 525475713; 40471636; 870355509; 896421034; 157457373; 161062222; 825487508; 84374805; 219251361; 1012964726; 512185114; 405843567; 57305686; 1041624268; 256839942; 497852954; 112061449; 829961885; 929439459; 545455826; 200911767; 617022230; 952751526; 501223225; 50660998; 232703247; 980150376; 27918768; 111933742; 772755280; 1019692239; 640792298; 605856453; 438852794; 536544006; 71662361; 960086920; 375855689; 589029833; 963373368; 162205709; 225069449; 518120477; 97421495; 252560339; 609360892; 1017538169; 775964966; 447043790; 416459196; 610410704; 335101056; 180755700; 848659906; 262248667; 355950257; 285808057; 932685869; 323345864; 699389302; 328609761; 410277299; 886116850; 332336309; 779934129; 975218493; 474497702; 786991132; 35825702; 722863487; 16867416; 78231554; 158580435; 714503262; 809068217; 981726982; 364746287; 794271959; 149064639; 848375094; 320467510; 389656993; 743621461; 777095793; 957733375; 731186829; 705809270; 449577838; 607256434; 239907896; 341806826; 3466696; 1043516386; 330644872; 409314732; 385721638; 955595703; 625146373; 916634897; 353565483; 921012041; 717473128; 577121198; 134831990; 876144695; 436541507; 156815018; 865695018; 329656792; 26664243; 448302654; 491876472; 573615519; 184994757; 529858917; 930679398; 945006546; 219731547; 691151826; 953203567; 392166358; 68096149; 113903761; 94081490; 313490135; 110601742; 461504970; 859793569; 587030686; 478006795; 974291632; 1044623680; 994613294; 155327739; 425529829; 1045923780; 854069266; 446266015; 707918555; 754176; 541650049; 13806902; 373542697; 644992018; 934379879; 110709140; 992098263; 605185959; 446253981; 982533193; 649373640; 281125464; 904085724; 973312542; 401758867; 497341939; 372507886; 552845985; 312169279; 135557696; 968499095; 480336472; 963600324; 35339336; 308974696; 39826508; 25853708; 304712572; 577509613; 39130136; 501755514; 680214488; 338996146; 132464206; 966234701; 467818917; 583076293; 272313098; 966997140; 511330237; 217905866; 625391885; 774743033; 893442274; 9227613; 1035497056; 575585929; 676661298; 113334805; 164590986; 764391620; 328942852; 520081375; 221916694; 463741056; 325491426; 31476211; 1045934625; 1052843088; 307509573; 150693726; 41289595; 1009355469; 549770647; 367710944; 357605470; 641611021; 762684934; 538590367; 648971315; 587154076; 295778759; 38551426; 778511885; 653398328; 795541570; 830733694; 829115159; 836149028; 645844443; 928695055; 1024441232; 374543677; 872596548; 56816876; 605870546; 722708884; 727846053; 886214880; 965855586; 521910476; 509059731; 454200091; 806279373; 673921541; 421312309; 20138661; 50483719; 944644839; 550350061; 412198564; 370476420; 743981443; 488533319; 763086615; 128522604; 577348953; 200495791; 347737945; 537262304; 647673506; 970726389; 1041390260; 968231613; 380918790; 326897488; 367731265; 93296827; 146021581; 856094774; 993388549; 1058314790; 314615526; 115183679; 127309161; 294806054; 528701016; 445171325; 37378242; 105069792; 530652763; 465709279; 195767528; 23327058; 26146347; 314402309; 281611415; 934679053; 882227310; 430857864; 435119464; 897105080; 172243201; 141889749; 61427120; 258495637; 573055656; 897661419; 22889080; 417348012; 667222850; 282796171; 641789651; 248347511; 541718209; 849537992; 220479615; 866530923; 745290890; 90788677; 628649262; 526723731; 42029139; 931929203; 735077597; 297467290; 858866196; 848342598; 574517384; 624608995; 850584214; 622304193; 691633669; 616165980; 209404731; 160386409; 304966958; 157092361; 39899786; 58495884; 915578744; 483877307; 229016034; 678605201; 641944866; 757352485; 641562552; 417451200; 53413643; 901984626; 93591838; 855082593; 16797302; 783835117; 970522954; 1070390720; 311957791; 955322487; 487811787; 652452083; 207039480; 706791514; 1020748250; 921098024; 406984403; 158808550; 376889676; 906295847; 103859053; 941169819; 412380339; 25233720; 317199378; 133761188; 438871346; 259370688; 100025981; 80180216; 990525710; 856705821; 1043109961; 516196747; 326972451; 243565639; 216120187; 915937441; 949155316; 584710390; 867043490; 728032021; 342289157; 326438483; 581394808; 1007223582; 969395702; 881409124; 8995783; 1046436731; 719321829; 1049480603; 423130835; 852772875; 714961947; 989835300; 784573455; 883178448; 533606333; 351190720; 332309576; 228630314; 361989573; 851193523; 723311564; 877675372; 76161300; 348009281; 591587243; 257210206; 646963214; 355822874; 566492375; 456505884; 927564988; 1069493459; 225718699; 1016936889; 766741011; 481110924; 478943547; 478989821; 730403151; 693551049; 141992492; 591602532; 548994571; 781757145; 505931017; 389876388; 50185814; 619880023; 701744952; 817588701; 554632741; 727351238; 826567828; 381886119; 1071598239; 823217973; 19176383; 993223384; 55213876; 839137354; 615628752; 424367669; 711949968; 1035894461; 291662826; 105007701; 972771753; 464682817; 307121190; 332276720; 18281602; 115112927; 204128046; 488666499; 690064503; 462293773; 128791623; 479245402; 960154531; 258432307; 843135328; 300669181; 505135654; 1007415669; 756834600; 590144179; 880712514; 152679033; 972476645; 979052099; 995422749; 749228368; 702389177; 825126279; 549612569; 988496108; 224006820; 300620969; 725217699; 396498388; 901742125; 805955808; 56388622; 237745801; 459000485; 22233626; 949784331; 519479490; 1029044416; 333505288; 342805340; 246190462; 115443595; 262143537; 956221786; 218639605; 167176486; 303517824; 314636505; 440999053; 279771534; 917306511; 7284525; 934287789; 267254543; 487617105; 852606036; 798944638; 648203455; 895344683; 179851132; 650479002; 31672576; 854027947; 416494165; 504501388; 439206693; 816657086; 560039103; 1020089522; 480529927; 394065933; 353979869; 291214996; 296515298; 175491778; 593064943; 684681609; 618622610; 686014716; 1073127014; 223064026; 10759074; 992793792; 489719066; 381505855; 906146862; 260148680; 562280533; 874387954; 949911069; 300102640; 902317747; 687499846; 674957217; 469778988; 997198481; 930761525; 686966813; 897844330; 690109598; 955493812; 6694284; 116169744; 232043517; 429477050; 611635034; 673423873; 954768102; 765806853; 591613811; 323668586; 819921507; 1029720131; 1005066315; 939502709; 103990632; 967344032; 41972388; 991719467; 722630033; 852178645; 404077773; 531136651; 626563314; 184342831; 410520423; 535681081; 310660041; 684370999; 998544783; 638065690; 62594092; 391196538; 745280639; 1052423991; 989532017; 1050079623; 52020414; 858737550; 774336929; 699732981; 1038936870; 502680820; 935498062; 785926428; 427438433; 210165835; 224400427; 237152491; 728193614; 932193265; 701439043; 716679215; 571936863; 253025161; 986939113; 237810541; 1033285222; 107447529; 786202920; 408733761; 836789535; 80559207; 845464900; 141635882; 936446960; 755076885; 502912675; 230605385; 222793181; 1061264459; 951704323; 284483278; 24783358; 820586936; 110544285; 1004330856; 22508762; 551956510; 703989310; 864601974; 983957076; 568580085; 308533154; 1036636136; 133916068; 988170517; 907492606; 189729428; 230498289; 569261910; 665526884; 682528513; 67297668; 172408419; 757673293; 662552381; 1028027889; 571545190; 909513458; 924848156; 705080657; 248137491; 801020490; 596224393; 720844065; 385817549; 779193061; 591414815; 951470700; 411297313; 405443635; 960014456; 183380191; 1054879907; 479457759; 193645875; 555376364; 669253469; 483838431; 432601987; 39360550; 402470909; 942780246; 146199805; 847157410; 621076543; 246339278; 392970801; 915953351; 761832961; 723588781; 955006058; 217751149; 425664130; 412872269; 369193353; 203998170; 823368760; 918095181; 325999384; 446826195; 601581803; 1053954721; 718660500; 297121107; 67702248; 239762449; 931664827; 317415640; 684491969; 88460048; 388117427; 18729214; 793152750; 873723826; 207912822; 569863481; 191337556; 322846064; 938144384; 498205425; 150776910; 285462672; 362669578; 528962697; 821941888; 178240193; 1034872909; 73820099; 80909946; 333014610; 1000541957; 220676385; 376092388; 612218586; 872169927; 649376433; 292500447; 228040356; 240355055; 91198714; 453028895; 765885559; 62136354; 1031449922; 210237166; 437268543; 494359295; 168690045; 359670356; 504463978; 929518752; 273549869; 1033254750; 864319004; 240601691; 455841354; 450428930; 925442724; 703175932; 214853028; 94613657; 504027629; 913919899; 844624002; 89780600; 278111450; 566434479; 760568403; 261083488; 971115070; 663832540; 920325737; 933403497; 75209092; 606055259; 376280717; 222321542; 473661265; 119049251; 905615051; 323292181; 381476814; 114777312; 403822485; 720302733; 794949987; 46833551; 1045435287; 332907365; 377123380; 322447869; 693266739; 525699023; 382748488; 718832618; 141139625; 283922623; 94423387; 27690777; 623111367; 141122340; 730604068; 953804320; 899142677; 589591532; 811488980; 466699090; 197816807; 719997796; 198765960; 234035212; 689364402; 890367801; 816798166; 1043208869; 546289311; 535449716; 942547323; 589543510; 460652668; 910227270; 804377701; 151434918; 320163621; 108272246; 31218528; 745028297; 268948817; 881698884; 1069094668; 600501578; 486884446; 190148088; 2705617; 777458032; 605454463; 617328307; 254014365; 468239200; 539962199; 644084946; 982483143; 206367888; 1032047414; 603823818; 429320305; 988790227; 356053724; 729469937; 146171754; 415307498; 154036099; 219367481; 169394553; 542970775; 947873437; 547994280; 224525429; 157586375; 624361834; 542337148; 367170423; 919316223; 698242967; 974728527; 305187036; 64011848; 40376504; 169699015; 14594488; 529152921; 909384308; 123743268; 173999366; 763567375; 76318710; 283864342; 639565929; 294507136; 309301822; 38834037; 243277665; 509891693; 138026564; 710234689; 569986696; 240342235; 247857240; 666022917; 4009606; 457705270; 712133913; 5652126; 578003743; 921647152; 301289275; 70308223; 123106561; 102059918; 206171684; 74362767; 733791565; 577419551; 1068868889; 226835268; 454867060; 279722024; 988859087; 361474514; 115721578; 426114294; 52281178; 373517005; 276045872; 990284355; 1070216901; 604141229; 542925122; 639511315; 679187045; 698159452; 736223394; 240200632; 667031171; 428831136; 366349596; 321788338; 606717339; 232259035; 498908873; 61380441; 53531059; 338308265; 51882030; 845578783; 611190560; 815006078; 517794624; 949443146; 392167049; 952622113; 302059222; 560593970; 1007790058; 587418921; 584149938; 994447735; 31303951; 485300911; 226337686; 257377055; 558080984; 900534417; 1064936349; 1000993792; 246413676; 684888303; 637818797; 29623207; 229774330; 130788048; 188040075; 836652616; 707984070; 563068090; 792020226; 1032615719; 324236420; 522666647; 753569146; 11982067; 110900863; 432674079; 757093373; 533503029; 269893067; 510306333; 333869544; 7159443; 858442635; 906129055; 152620719; 949651865; 571601474; 986646409; 639601378; 56052888; 1068022578; 502582756; 439808727; 102225373; 708869253; 206392287; 41503498; 74078454; 522119448; 327999562; 341087497; 386866856; 1070076053; 649916288; 261627017; 48895347; 848045965; 30096675; 603363517; 169021751; 260843096; 1054486031; 169236336; 119332286; 162662215; 190393403; 64512340; 131290157; 45990325; 2402093; 950278302; 231916644; 447677374; 722092010; 805148772; 98258974; 24051363; 1001949572; 532721344; 353340200; 310654049; 533968856; 280519273; 1014107287; 619561485; 830824209; 130525652; 793201811; 324155539; 173188650; 289770758; 452789801; 510060998; 796650897; 485036708; 750067925; 769509759; 639033235; 674942354; 582291284; 1002618778; 94161500; 441149628; 558617532; 346061544; 864155115; 872917941; 107763165; 820961824; 760491450; 997738400; 922018587; 527529502; 243703951; 241036447; 367976990; 399233451; 14696779; 777042743; 190598527; 691620295; 508145470; 62018102; 890917022; 120601947; 1065768687; 17597736; 488947785; 812653840; 162907064; 60936751; 96203464; 421000006; 50377919; 254117064; 218602513; 684063172; 680813887; 932841835; 982025505; 554893399; 842119544; 611198139; 371712885; 413243665; 659000856; 806080153; 16063800; 563881456; 398455187; 1041017371; 459216497; 324717305; 877122929; 657860941; 23540136; 88898183; 210533446; 927781693; 508164203; 91978074; 36518704; 46173657; 962141641; 249373469; 784790272; 266502021; 490391644; 866021212; 603333673; 254563402; 239479911; 59995408; 982163399; 553630839; 846047639; 167831081; 841687340; 486337126; 507828196; 197328420; 865047673; 540971572; 1018470377; 702576176; 181226756; 151797201; 724183640; 186491636; 883757353; 1064791546; 912039187; 974224054; 713179841; 607841900; 669957888; 802000518; 1039080038; 776885025; 551761204; 406419611; 92507657; 1044176323; 567572545; 406411874; 858713893; 592225889; 830592813; 720743519; 13759653; 606209212; 447627801; 1035839990; 168581838; 154985701; 6702720; 724187191; 457195882; 141485628; 291307806; 428650865; 244813952; 876369323; 93772275; 422442708; 932637443; 131838336; 984067135; 382601713; 957662420; 231858183; 1052780735; 132359029; 134518284; 914447592; 867444760; 17102912; 826995201; 974665613; 727663113; 208489125; 829799654; 3623234; 176495613; 147046557; 495503206; 900705474; 601447225; 530340415; 1045646589; 403162751; 945467548; 634852874; 1031363276; 327914716; 990954802; 502056510; 386618875; 894248852; 511305659; 919226028; 396888862; 498129914; 913081263; 619386501; 902453796; 238428003; 827331460; 731881831; 299569500; 73406990; 509307723; 151696267; 497329426; 80770082; 815112250; 582605693; 465405308; 742109045; 496627214; 207598331; 397920896; 45472407; 120761288; 236306362; 626584258; 792414451; 720531517; 89453790; 1011085178; 901043435; 967297318; 373966940; 951587948; 901273538; 432100913; 855403038; 290432386; 680556518; 85147203; 581892548; 586843305; 422498931; 59147054; 314321609; 829651680; 191354849; 1016433284; 801571889; 1028366502; 709956143; 169584458; 946232980; 858914344; 783565620; 849288377; 24674528; 842104437; 59936705; 863449908; 779558457; 796313809; 272186348; 925845480; 875197630; 578264644; 797716615; 417043562; 16154139; 458716138; 773147172; 866959643; 115108595; 202890127; 1071996002; 678700364; 232037064; 988419097; 789814482; 286743666; 486512861; 199914485; 370891675; 1045792558; 537268119; 71160224; 221818041; 1053185360; 13766596; 616057014; 809949324; 208326995; 244580724; 211134289; 264982764; 330666346; 365113911; 870649561; 845857885; 209390449; 358969801; 533179627; 403587517; 452879498; 889961580; 274516881; 118000648; 216793470; 31665238; 694550291; 644994022; 342201504; 511405247; 868349087; 302284969; 801323127; 686872537; 488605290; 727083858; 728273681; 270807901; 954802029; 659198464; 83174077; 727088928; 518759854; 496110018; 176259514; 768591867; 1006633481; 650995454; 264973623; 137830737; 506246168; 500075215; 702048042; 487254494; 638755827; 365143452; 317984669; 593770028; 384254373; 838192424; 694380610; 948496374; 733384091; 117566483; 189548825; 376422194; 246394024; 914188815; 842354083; 614675101; 594786445; 637279239; 840183546; 718301057; 535441287; 361404510; 163371121; 172225759; 737327309; 540362182; 374039979; 991169526; 8000638; 112890818; 798416221; 849525449; 886502111; 995283410; 292930084; 1012782580; 1048901838; 791337653; 883639981; 121768161; 456051122; 311297048; 943491170; 193455355; 723113675; 289719001; 960728945; 680800104; 838867751; 28558962; 647852470; 357840423; 712634985; 1007930807; 191255567; 544834512; 832301522; 542018778; 571549376; 1050982982; 851987177; 373146940; 759021390; 256655794; 466163945; 974664106; 224305064; 405763657; 1066273647; 3379055; 960148039; 773510842; 1045122279; 260775850; 908904496; 112689337; 1017457882; 493726863; 925925152; 938254694; 442998868; 345047171; 525558830; 1042286569; 526650067; 991683461; 842088053; 755206748; 422725557; 548799668; 856987146; 384174649; 173308639; 1041084324; 181274090; 145101482; 936399218; 504329950; 675193153; 938055217; 131377451; 606489560; 332942546; 457442351; 969208024; 161662459; 257180480; 329207146; 91258290; 983444917; 301689056; 716643121; 268249478; 607488486; 1049375506; 620399454; 390632510; 11518614; 912074173; 578841553; 875929939; 1011049802; 265475685; 50797932; 3369820; 1003021174; 230857621; 499974762; 421772896; 772830713; 650377636; 740145615; 934151977; 576772833; 668975447; 634718185; 566107595; 193354406; 222214831; 842677585; 1055094038; 781801580; 844710170; 820380740; 497296264; 569791707; 881366370; 1054875016; 292077468; 645255158; 351916269; 580538371; 495011914; 852935396; 43060244; 351531370; 588985101; 429582875; 932032262; 409970685; 176775195; 81296753; 730970707; 158089880; 222463082; 964032922; 248871065; 200531253; 639787198; 169060293; 777700728; 231049088; 255958965; 971530720; 203536691; 192772950; 972691525; 595693045; 146132247; 463604736; 538507490; 92945613; 577792502; 429988951; 616549739; 499130825; 84670027; 183152640; 1020963833; 335807066; 62370049; 66819307; 389567249; 147073182; 194063586; 130574856; 232066909; 195544719; 840888420; 489011294; 73325746; 687860325; 133578340; 684877043; 66271987; 316721788; 629716230; 204869577; 834949198; 649704644; 642644879; 340806750; 1048164807; 996348973; 412639109; 819552296; 809172014; 1069897597; 727506370; 633197395; 310750321; 67961451; 150809338; 854711413; 932767946; 190920294; 779566338; 607194783; 261790809; 583034629; 620204411; 255240455; 166703669; 27646790; 439372100; 13047231; 671570080; 495976226; 944695821; 582992134; 230684521; 812886571; 797039512; 863212195; 331999628; 160069515; 287880620; 657584982; 553073187; 965926463; 386296306; 501366901; 474005329; 907177621; 556925637; 342920005; 963629096; 638272639; 1031465365; 771712130; 328863375; 643817753; 918570189; 516537990; 543658081; 298236183; 303214554; 208846357; 674388471; 534468228; 865705357; 236553442; 324531804; 155080562; 946109135; 628556914; 410640612; 727525360; 872594771; 763172581; 990055411; 815688542; 643614628; 822957305; 127280004; 998262297; 628900607; 426385417; 76594996; 363200385; 919057243; 252909061; 587936505; 627736100; 377518568; 818870418; 344360307; 807435818; 364108016; 604860043; 197595675; 524382349; 164494458; 808958747; 79468873; 303805500; 557645430; 654158552; 44397758; 288559660; 205596414; 428491249; 814992733; 306734061; 830590884; 1022506822; 738985547; 104033047; 842342237; 311377843; 507961337; 121238263; 126725346; 477565544; 143135478; 273364581; 610085506; 315035653; 125687773; 187825808; 833551192; 534546626; 181742405; 947242974; 704870931; 602732499; 103958692; 322835728; 600032924; 162260083; 850396614; 718351071; 827888239; 393891721; 822856866; 599761998; 607405914; 410950330; 460459513; 39378876; 574637082; 673964384; 889172260; 607847731; 728552963; 448231563; 889714258; 701783197; 476946413; 164826792; 147649426; 878160208; 133849785; 80505139; 304117277; 292990657; 695093729; 785571743; 536783024; 576405982; 45864048; 256354098; 939355152; 1038271671; 74009386; 607770053; 347315172; 1009946295; 1063875097; 353942678; 735658712; 218501016; 355454687; 540885529; 623248227; 233645648; 774571149; 968315418; 394052114; 1004535214; 1036735211; 814819826; 106166456; 6673758; 155364025; 316899476; 251774744; 927417812; 760199089; 244192909; 193249850; 188887992; 1061315806; 280099937; 777760669; 865067556; 349798294; 996442142; 883757284; 264208793; 622415738; 736718662; 343439781; 948204038; 58191226; 337416089; 559743506; 546606867; 4141822; 989938187; 866037350; 137127287; 591101616; 222925066; 212025698; 917840066; 986228143; 250514257; 70812917; 129044205; 39223365; 660823650; 565289058; 704170178; 745224694; 713463363; 458752107; 473402677; 907554532; 950762337; 201954260; 830124982; 3998288; 331444526; 1040849560; 635846901; 120602210; 251468693; 609854860; 231710270; 534441407; 614522518; 751456690; 587680010; 1014577989; 247145183; 179195513; 695838577; 863304839; 950272460; 770631488; 851225941; 164557140; 754960943; 579508221; 90477971; 353371598; 155156603; 1060801772; 494821867; 1016201225; 797416757; 1007981537; 260369360; 47696929; 838298677; 354109292; 566189930; 604629357; 403916328; 333672976; 211665947; 984714773; 496409890; 939662835; 353756958; 241932587; 343667972; 1037398432; 975803005; 461578250; 930409631; 294305108; 926932597; 298234471; 124407072; 136695291; 469147622; 9377922; 211770228; 596935862; 971346663; 315779536; 16540476; 610397414; 780693275; 418237563; 114534602; 857735190; 329175162; 618254563; 30989352; 1008678579; 163202061; 230471268; 1028356444; 919320881; 133350446; 776353126; 781439462; 798964470; 670959412; 12591562; 787433302; 1026415503; 1044206527; 333674404; 54271454; 876057553; 416962662; 567781543; 333929611; 1029071141; 203490484; 268718800; 665114838; 205016657; 828259492; 1066380612; 822518169; 236682766; 101023919; 120416777; 179565249; 917520264; 1049797959; 376373292; 206648374; 445934457; 516853106; 747196725; 1015560752; 427855689; 704519097; 970471369; 436294824; 2576871; 511625933; 661775631; 448192287; 438952717; 1058243393; 738535055; 526240316; 175024244; 12474683; 80535373; 113628651; 990083010; 899950865; 574524799; 1028547045; 393397145; 287942275; 486280952; 92874400; 261949929; 552570558; 572802215; 636590455; 406376706; 866300668; 631011366; 265837386; 903056860; 495278743; 335984741; 507041415; 314316385; 606748908; 18553511; 83085086; 177256003; 1059774445; 439914970; 661947596; 85225828; 842389523; 232426592; 451067974; 636569802; 814956573; 1051782455; 568143392; 1023043151; 294191165; 388441548; 702992631; 484432756; 290337658; 765721334; 645381809; 153447131; 717546355; 804313890; 640860338; 453188589; 731834576; 1050506821; 48059997; 338364058; 685871533; 1039683105; 1053963678; 296256402; 407234150; 401852442; 77558476; 88525196; 637537309; 645956317; 999785456; 659341516; 195336265; 68421033; 408761537; 291527960; 218543032; 1053461991; 108355597; 86325358; 222014067; 92149137; 683825138; 230752327; 208946735; 483934228; 440146514; 759238748; 748807126; 633183678; 1064777175; 983011646; 898956945; 998792516; 455184643; 830445092; 49636120; 56521610; 622740146; 602827981; 863294954; 439217485; 436401855; 600985109; 715505095; 16418788; 26237529; 115478687; 1045583142; 636431272; 1024585412; 623517772; 284068590; 867665807; 582183734; 934893110; 328215439; 340574857; 829262199; 861314660; 476563158; 140147946; 648054572; 1003262899; 403061928; 1001729246; 825442277; 1023973231; 587990461; 542606426; 91598882; 289622677; 995378951; 748979073; 427300071; 641342846; 680451895; 868365655; 550201219; 431677293; 762568829; 1032528812; 379241199; 411196743; 207513425; 830162864; 466860419; 977926732; 975323844; 734468725; 807806657; 1017454021; 15245249; 77186850; 11057541; 737128146; 249482801; 865125535; 906373491; 141562529; 30677033; 232515668; 470114471; 180959009; 616038945; 409739767; 662486511; 711298476; 746656713; 204866052; 906463128; 647491942; 703588603; 453224884; 51932566; 532626211; 128233384; 489585609; 298043373; 818731931; 1058233400; 681875026; 179857179; 767390589; 1034331571; 909977839; 554272078; 679622203; 608424922; 6018338; 779073753; 331751842; 36657192; 891219034; 354528608; 240892042; 274696412; 436656137; 184770758; 596203263; 331753573; 945186272; 466650893; 1032506513; 361087298; 721652720; 391074362; 169625377; 866082999; 681133648; 626721870; 416127243; 845293385; 77771399; 556054146; 100790684; 106980817; 442716416; 86505582; 965885934; 467965027; 374959079; 109745656; 758273479; 1060216604; 256017412; 692212524; 264403576; 64133835; 328373236; 790030664; 387419879; 143479312; 649442698; 989989255; 240621048; 431335975; 76911792; 371489483; 535193718; 761214285; 369046591; 765526488; 963964031; 564641362; 658293180; 1045585574; 1059288585; 363946772; 711606395; 697667408; 606379248; 544034955; 618143156; 5334672; 1023083332; 866756982; 138398999; 780283491; 20644222; 403213073; 796645594; 922760200; 443740007; 342101016; 700977850; 660487861; 412345550; 50201555; 892004902; 55421898; 1029411071; 498362054; 674582307; 928953731; 30077536; 1014186204; 477342301; 340848744; 854987344; 285624850; 916589682; 189352523; 1003486800; 993221314; 860975073; 951045257; 28724506; 918968722; 926841669; 527774263; 463195226; 253571268; 662296706; 1021413663; 992230605; 29847225; 281570870; 631948769; 1024318474; 304371593; 136463409; 94346820; 583845813; 487892184; 335297442; 379086844; 123863764; 308241310; 996752092; 494824829; 519500362; 344239876; 1017305470; 197721826; 40560356; 938891688; 966178658; 273313528; 712643379; 701429053; 888967425; 49793044; 111204760; 254549658; 944635723; 840541847; 1017813555; 640694615; 525155835; 939246678; 781529532; 919571469; 205292855; 879005022; 635511702; 323532325; 285219021; 204428565; 879002599; 572111961; 465832626; 442930117; 158208072; 187219923; 1054134555; 103727615; 957951269; 518853565; 301227227; 328897031; 391691478; 275330967; 18276930; 414706510; 249043801; 9155137; 88347715; 39309250; 813526730; 601029687; 139595210; 214783466; 90984411; 876376263; 647542207; 248976942; 547145955; 352011993; 1023245732; 305635067; 1048386916; 369065612; 910889395; 152906328; 978624213; 644605869; 45504878; 699049320; 137666969; 660610030; 737801183; 1065888444; 34348618; 95371523; 243411425; 726590948; 912785112; 839638571; 875128973; 3154448; 54891386; 785628900; 598148684; 361888915; 655203803; 712831916; 93211100; 707990582; 16403242; 244258278; 400275156; 562210817; 546367240; 579791062; 545374867; 692003592; 134662451; 902690854; 268041528; 392474607; 995689621; 659792059; 334935288; 856455239; 316081679; 313949270; 669550906; 897247651; 1071107291; 387421748; 779559195; 726613807; 595883189; 652459006; 86263216; 977498693; 270386060; 679564821; 373703461; 393807181; 142860145; 191612583; 595956360; 989988831; 82726483; 513945603; 683070819; 602420824; 309583219; 522151605; 939585974; 201049073; 740005546; 66331848; 653028156; 55853612; 826925160; 679057592; 544588127; 884044388; 199315884; 999608807; 1012533730; 804029860; 1017432017; 22006072; 511631439; 867309040; 940622471; 285752983; 159477287; 1044320577; 194823308; 926146967; 257782586; 606560000; 604318877; 541535870; 206117720; 52634688; 695375944; 979523092; 425040407; 84967545; 433327107; 308158438; 303597588; 626388837; 499677460; 213006631; 892934067; 687905012; 911432777; 730892227; 262783714; 46654685; 946756024; 262705111; 90003337; 281621145; 1024333410; 595845985; 819153392; 850585897; 742512208; 803247462; 853456369; 484043144; 768817858; 875172365; 530124353; 897597000; 735916312; 809930041; 564883330; 671652983; 526956180; 96726399; 498257999; 962327830; 431569599; 32273283; 100905877; 612901139; 326370701; 852579580; 982507045; 229325809; 428856859; 721687501; 452860035; 5241730; 103743397; 971821814; 1050537164; 984984478; 242384396; 152252130; 288977125; 496352591; 837449519; 131668866; 336889034; 456229522; 11735017; 613162670; 580687420; 466677948; 339394520; 378039051; 600396989; 455993885; 975597620; 1001967128; 1023572015; 781070509; 431223797; 757885505; 526976819; 702611945; 509997070; 913430921; 1020916238; 768208548; 349804918; 765415638; 460973126; 396673298; 63917097; 431393881; 439955874; 691635325; 319644177; 838878047; 66018068; 561950366; 97954463; 832502671; 577338974; 218645283; 221033729; 665214092; 738401538; 482510031; 981542543; 599163915; 486987481; 1005849867; 127381458; 1058702731; 832154001; 571270358; 936211223; 886631658; 851205051; 462603781; 103393214; 594769324; 133704121; 451760979; 673339477; 920780972; 304878613; 135475554; 879118521; 131027921; 442584753; 392755569; 719748416; 417238407; 1015892790; 1025035912; 1000030367; 446444594; 895977721; 7249455; 254044533; 114216282; 436058956; 476523409; 157413528; 218426047; 609666680; 53497498; 143774373; 654160012; 975645921; 636856403; 814806255; 252440799; 973172959; 502047676; 891202115; 74515637; 100115463; 248062898; 802840791; 332286635; 150015130; 837084319; 624091987; 569908858; 927516055; 1004872502; 527738762; 82299357; 355543125; 296298166; 172596419; 127612299; 705291023; 59367427; 816525145; 818948121; 521317148; 592392372; 742682566; 857770234; 507602456; 613466576; 13514340; 1039966534; 826838441; 981270587; 642925733; 76960373; 952181828; 287546104; 675128578; 504926394; 542589071; 399067541; 226043855; 519738035; 724436790; 599537870; 423580612; 998608470; 183419501; 352669381; 1033097973; 842493991; 103662798; 160340536; 1068145581; 214351075; 968530858; 356057397; 652710249; 848497068; 146998054; 217086838; 737583495; 60538809; 975958696; 136978215; 338459213; 435823717; 360514622; 1071995614; 991416023; 767461623; 139761164; 97725927; 1027234960; 937592410; 132694532; 552578263; 935351064; 439445054; 729932588; 985248537; 536666970; 513037788; 1062410478; 674722069; 238616064; 995761801; 176437896; 41879013; 85267075; 585108136; 869020945; 869310967; 93604936; 981734376; 129506266; 240155209; 108448192; 663459975; 297824875; 146908191; 83561261; 983409675; 847792709; 541394634; 33075409; 238339699; 414137079; 760438096; 107218904; 877882632; 1033773328; 97164384; 658734743; 686262792; 390012972; 5182743; 857654433; 262081501; 758808728; 999139663; 452362016; 800174985; 147329067; 133155531; 491746199; 687695318; 123781211; 545454909; 116811254; 844233557; 631110566; 906554548; 410048733; 143008869; 500036767; 807491792; 877974773; 459917742; 375683820; 543272589; 356092753; 212968521; 1038307423; 1052352405; 89468316; 652926552; 18684670; 767266448; 549128275; 370409826; 841599872; 134439817; 464598020; 68153517; 438074678; 629054574; 629856671; 319516116; 328015563; 695756428; 248968361; 664988069; 427283176; 259673195; 119193486; 721786686; 654848606; 74317273; 353471891; 131424488; 315303554; 624326918; 393510342; 286817521; 721686078; 1067706482; 787159433; 36926281; 264757368; 361960318; 106344387; 239775434; 645496929; 198366775; 577083531; 255604152; 722051321; 963208118; 1044864762; 676820672; 424053749; 776837604; 872466655; 504848435; 338999175; 681053593; 67953242; 855212941; 733148154; 323574862; 367468310; 524278871; 1013466732; 755517836; 108128449; 929061648; 1041189870; 948532932; 833940179; 365932178; 163747517; 407711695; 576314407; 365434454; 743213141; 978994650; 788675908; 1024287431; 281916643; 728414155; 376669448; 735131303; 314855753; 139488138; 132358220; 351542481; 580501526; 234663281; 759059116; 1007044346; 168432713; 762753465; 778863104; 955891260; 782743181; 121048597; 559260274; 463398535; 666382139; 588742320; 448894072; 484121784; 787859433; 149187514; 746052637; 1040104501; 304334845; 499909174; 315604838; 821569412; 222094792; 474756550; 592519152; 112640975; 824876524; 620909330; 345866685; 688535608; 488395051; 462132710; 677242842; 697360176; 39179069; 744558678; 104187440; 75733912; 829935743; 819568749; 44580752; 200047552; 213937612; 487125216; 612964177; 298705478; 972865209; 908641713; 372074061; 512389751; 524533309; 565633622; 46289952; 934924628; 1014831597; 465627240; 143173447; 956267200; 184959903; 243498404; 563470333; 867712543; 1051325139; 281235407; 404682043; 165858380; 912131800; 500524731; 404024979; 557160337; 717662036; 969710281; 820090651; 625297960; 341059877; 545913557; 899538427; 661241214; 708133823; 641836951; 1009186810; 681479644; 442871260; 715774619; 486211193; 738496304; 337692455; 943638111; 196458247; 613694999; 833125719; 1049986313; 422348109; 1031974485; 965455989; 208527230; 40088133; 393352345; 1068991257; 51919200; 244307053; 500653345; 614393769; 971096816; 565851517; 109086121; 1010460807; 567178925; 1004530840; 681108394; 515965211; 8155483; 1043401239; 92065727; 557276284; 578245722; 733767140; 227261259; 312396081; 788977054; 229377377; 676831505; 252252257; 851469198; 1062455284; 141641105; 802855633; 389036532; 843664869; 260834337; 969566906; 523540290; 39105470; 528052859; 929504902; 151745553; 415135543; 822919487; 590255513; 326140639; 355794524; 475441361; 369490349; 548757404; 1060577270; 710332028; 629478999; 255281908; 481134174; 1017232238; 1002968086; 50643998; 416016923; 595090708; 348526185; 250647335; 47771585; 760223203; 383017918; 1004544051; 998093064; 446713351; 12156261; 469259675; 642963452; 665956411; 340395679; 260962866; 357093795; 434441440; 979711073; 137813342; 1010611458; 661282512; 837928404; 793093027; 751148208; 164440722; 155495228; 895949766; 545949116; 407009752; 533228641; 118016713; 25936514; 293171059; 975882597; 871940418; 404254030; 531596784; 358139066; 829997686; 659672293; 557451469; 951672469; 740887196; 915185201; 1062844462; 390333735; 419014723; 658154776; 175011913; 262832890; 1042536607; 226872464; 621039157; 545479901; 149143315; 353063749; 951007093; 593444672; 213256129; 632948474; 467426278; 517497296; 273358750; 290268864; 174405909; 109074943; 28832105; 209285856; 939545373; 55188251; 755775782; 993864745; 518735297; 941885879; 246105630; 49535473; 94038947; 942704302; 591862480; 625203405; 802225167; 200685953; 471737254; 431237476; 958508628; 911555728; 138397258; 260671796; 1002638934; 5809662; 195162664; 90397086; 405585235; 842706609; 950863729; 9634108; 458599435; 440724550; 792961921; 334278749; 121768630; 274904611; 994812676; 764429068; 307794076; 720654471; 896583283; 944281415; 567035529; 91054013; 227912349; 93478419; 651346129; 865903703; 376637799; 1038176600; 840642271; 612979178; 244224561; 666004583; 180668717; 615727934; 717675142; 208792761; 871099757; 874194691; 841895573; 531475472; 205143768; 421246043; 784111149; 329223813; 407067922; 60701000; 460188385; 715152939; 178842974; 1038438692; 132776862; 376564407; 265152733; 195185200; 939296756; 435487046; 836436421; 190994090; 658932180; 815552519; 304474777; 894339416; 655339196; 26203664; 58387001; 682335145; 694294589; 780826949; 164534835; 580374088; 19826960; 512185062; 483558371; 216105788; 1025913100; 397988899; 217066758; 201113387; 135427446; 428616163; 508757315; 726297604; 315401324; 431367913; 520283063; 443960005; 218242319; 436273890; 780677654; 998245295; 690281575; 856173839; 639595657; 822304787; 961457196; 24235418; 36849069; 828260052; 341047381; 910656522; 64360933; 718220957; 723797512; 434152680; 8027950; 925777042; 605560160; 874844990; 314481750; 668029430; 244665151; 971258730; 130127839; 636230707; 291326318; 716771714; 106684233; 98427872; 681986409; 504750411; 191271704; 760352927; 829793832; 43626781; 1026728241; 799538445; 811207305; 359100396; 479647694; 741932977; 257918082; 887806721; 559986347; 261028293; 116918986; 744384318; 167796343; 431620087; 376611570; 919155432; 649033194; 184067761; 682983421; 741500591; 770772297; 882582757; 337465727; 963502443; 517984869; 178910697; 249118668; 211395458; 241591236; 827117358; 2768986; 351947073; 753161867; 353082; 647794031; 494621629; 597548768; 979839171; 787691361; 60089817; 304038300; 738768941; 678162489; 184196227; 722501710; 1027993698; 264922273; 90176257; 627754682; 127316227; 512190191; 311048490; 860786408; 553585661; 964579563; 169574840; 379936243; 58484343; 747134693; 136184687; 724635879; 153209452; 418570924; 654452560; 181547122; 554291996; 955183951; 956879003; 820583192; 26544009; 347385461; 300404146; 551557775; 410852164; 534324249; 250657533; 548376800; 644788081; 351391896; 919144264; 939521614; 793210669; 593867252; 332674003; 318946118; 1001894501; 529360812; 33997119; 439540426; 758658126; 17147477; 800080912; 207278411; 615909510; 527548867; 948197008; 953946810; 906355997; 935851794; 791124230; 573125941; 368112221; 592453486; 43286569; 654168587; 158028193; 905402573; 499327525; 272791506; 1053590007; 300274617; 664167279; 121299122; 224693942; 490427393; 310387355; 712954760; 560516375; 945887876; 623144632; 488646118; 1009825052; 563831983; 180308672; 155104753; 34447926; 691962943; 275631594; 681910675; 635497635; 462384436; 116890395; 52093776; 238760114; 689008565; 861915858; 934019534; 637214128; 986792479; 737854414; 237136728; 871765466; 659582658; 60055340; 942671784; 977794506; 104609113; 934459135; 361058855; 475624093; 1064364138; 164297321; 673771797; 127716138; 206361156; 492416772; 820465241; 433791098; 600083855; 303696900; 117489366; 424631952; 579108458; 930077922; 537428422; 692796092; 985173100; 57711465; 527966959; 176009212; 344610999; 210135104; 155774892; 25602572; 840169859; 161416864; 469444956; 701965186; 143541611; 1031603053; 121553548; 80977119; 346031049; 331502548; 285227546; 1047760291; 327282324; 917879083; 500763832; 394614685; 112778396; 182734601; 596520313; 170358086; 841530067; 1017099569; 590290921; 71023950; 732388558; 511963426; 895347776; 415876325; 632990995; 208613578; 39683480; 746015617; 227604253; 961974776; 632401527; 910541247; 1064484269; 112987234; 1034865996; 317969727; 8561755; 237094366; 344344161; 293852873; 1027662399; 723026575; 624227453; 532115454; 162083047; 214490894; 765140623; 962795928; 905664041; 679331686; 563577612; 364181283; 296532491; 955368628; 469706067; 423986765; 897289484; 44304635; 105830667; 270210642; 574608441; 1023793466; 696880808; 134922302; 315847231; 629064489; 553008134; 651522883; 773745330; 611482855; 965255564; 514420893; 292953559; 148314039; 125734512; 1014711645; 36648521; 359312307; 613502433; 478449761; 639969904; 851399116; 716588433; 243044334; 844122438; 870152851; 83742565; 630916426; 469627706; 1065996313; 197788403; 603870129; 302870683; 288609233; 779939090; 847699653; 767319464; 213850764; 790284765; 896918522; 29364839; 326226001; 40880062; 218361124; 657827039; 926074566; 1064641806; 622965064; 210803565; 356074773; 831362670; 818546815; 368224610; 1027145743; 241805320; 1023370456; 251661718; 91067736; 11758353; 207877214; 281897237; 401062820; 644673702; 468693238; 416749198; 574466952; 284233084; 518210755; 632181398; 179172806; 587566350; 515737403; 671485054; 621151146; 991028182; 355064999; 662884211; 111766; 766745839; 79624168; 455748702; 830197775; 1047923105; 835987063; 657579369; 468907912; 560856005; 500966561; 1038982276; 974671116; 698123689; 296423003; 104268130; 207894875; 806719244; 524265453; 1066558520; 879419899; 533061276; 174264007; 34738840; 115981028; 879473068; 1004130962; 754665292; 907146853; 590122172; 729499934; 20528180; 240438895; 535151596; 759334942; 314690283; 765235015; 967987071; 362918493; 28631077; 860389964; 66141259; 473882112; 472708239; 358400925; 235291159; 774546706; 524736320; 741143955; 86911889; 345335076; 43828386; 146124094; 225231106; 655271299; 158651053; 596244863; 731413540; 793176176; 624664310; 632192250; 962435954; 207684281; 449661429; 668133188; 472636133; 608979457; 1065211181; 308448363; 629677506; 102648857; 274911955; 282268071; 983669165; 957645840; 537996432; 479469788; 649193324; 150882267; 802036749; 664883130; 179551762; 7215222; 259262199; 755364914; 9568836; 593531112; 786361417; 353555776; 266408947; 63445068; 668435547; 568281631; 743692853; 64918598; 444609880; 893030213; 183965785; 607680467; 350212485; 755223014; 210581705; 442986710; 965500771; 327001605; 725023835; 823688865; 449008378; 306110105; 53976078; 1047222368; 1041111622; 1067250187; 793702908; 859569046; 203562034; 285811121; 227856927; 844519217; 524463197; 520339018; 1061377451; 413269226; 1034598222; 598163586; 1054765554; 120958939; 470907789; 822916567; 616732244; 361890292; 470707153; 528835957; 875487971; 529797708; 656286463; 715836032; 929866274; 89547060; 434979132; 807705251; 319941266; 68573264; 738281473; 108456586; 1031864; 606912424; 20681951; 600383801; 377230574; 737038191; 480315423; 495410920; 481487736; 500468272; 98094544; 506186647; 435553057; 619650824; 30347049; 1034029231; 232903250; 215338945; 45274047; 626364476; 188677669; 267728731; 580923532; 723558587; 263115592; 673960603; 518703245; 758165189; 702522206; 482932862; 354359424; 81565642; 151822980; 936642559; 70697422; 47446474; 107233537; 117480534; 368535850; 996747434; 236243459; 294323150; 843404310; 951151333; 489662713; 504485851; 932875335; 790005971; 1040987688; 1055101506; 15110151; 812358530; 398655380; 789596215; 1024589480; 845032349; 565418885; 847466906; 513564425; 435598631; 730091072; 933688511; 119976447; 199616420; 275102646; 845754483; 31149466; 514860575; 118174263; 377870118; 786286824; 636041479; 1028573876; 448617265; 260252044; 76009505; 189344200; 969711523; 564633428; 301542140; 546336981; 212921128; 498735823; 241345665; 948646370; 252012568; 1042236884; 891831495; 946510482; 628258774; 7645335; 444762065; 454041856; 930531676; 37669318; 254856371; 389614551; 925892444; 983039256; 34437177; 70744768; 807559563; 455151983; 738894964; 252281576; 929101607; 329829776; 307814269; 667188366; 1016752773; 595925329; 839942009; 653519725; 861746116; 882771570; 294092689; 1065858338; 302821815; 698179152; 312752134; 757933655; 528044099; 651251241; 944565140; 703484091; 887681739; 621879691; 284293555; 209944863; 590484775; 330379187; 270111897; 354548928; 735451155; 997039046; 838962153; 779357606; 1007403705; 726029421; 860723363; 248857804; 984518074; 653817165; 827872290; 414461946; 992858082; 606319675; 263183757; 325453096; 234018289; 255679823; 1626039; 245401628; 449835245; 512070150; 238734454; 892709083; 981586305; 92430510; 816618042; 289229233; 9600182; 556119343; 459611956; 609100969; 814200302; 903303191; 55627464; 593197288; 152284755; 820600224; 469546716; 554792567; 764532250; 643412569; 316954683; 148006276; 434486782; 984661997; 572219774; 274799656; 552311302; 750657805; 80410167; 799853357; 691992037; 1007618925; 108691585; 920127430; 118782557; 417891895; 254874680; 543370197; 100696607; 431650401; 712482812; 870434440; 99337574; 583269559; 537110839; 796011873; 753896648; 645904266; 112634344; 583349631; 192114307; 975972902; 888461247; 665011998; 43237163; 317356284; 775294466; 550857213; 51608583; 686589876; 314486423; 38003607; 24594560; 509377736; 165688196; 394213681; 810315252; 205064414; 255298903; 307229622; 263358045; 280420913; 404700521; 73841770; 704232729; 106022854; 145211932; 356750704; 991947410; 875638319; 63057757; 812302269; 996437202; 359501752; 542520974; 855390046; 989531734; 311252784; 53503747; 946713457; 662734375; 447945463; 467431799; 285134833; 294894320; 271271422; 727399106; 99356381; 522978978; 288759943; 986995049; 744445666; 298941732; 763997805; 902412867; 736195562; 956631580; 982876335; 185666458; 1040765917; 106519399; 1002242192; 439549415; 466020057; 290926295; 786580674; 849111647; 304009611; 382714280; 652518438; 768369928; 546490175; 800308448; 1068899982; 802438171; 952327862; 140572922; 996360517; 441284535; 890333302; 246072550; 12090887; 37610058; 418820180; 852125845; 158613765; 70864483; 996118514; 751478120; 188354045; 61647828; 660344019; 382954608; 543436482; 23757910; 191816035; 382366848; 463544171; 236926900; 476140275; 706101489; 744893627; 662459745; 196933584; 865066287; 403921577; 850330611; 126853349; 679171391; 621395072; 816823418; 873384521; 702572069; 690323791; 53627417; 373024391; 625350462; 523083864; 886035415; 639415520; 206812505; 337634376; 537962089; 824267722; 906416696; 745313951; 332990461; 926179025; 433334709; 14554679; 411083538; 988839542; 799647536; 721683633; 411668180; 671831431; 1011744935; 885530038; 429809439; 450562488; 659434838; 333367885; 818346963; 703726993; 853451104; 40940211; 644606158; 588455188; 37858198; 241819020; 307835383; 1018995154; 740963759; 785304215; 642236842; 756517295; 521652484; 1009941491; 1019633815; 162785709; 701297313; 603470947; 35831844; 202084902; 470752225; 856372641; 490024202; 71897215; 241953967; 786909598; 273307584; 354746360; 102470756; 216255477; 762428712; 282285449; 598537681; 536323555; 156278950; 677936333; 385752434; 1043378199; 1008648775; 276692008; 999085225; 136073675; 276334732; 578281853; 786947991; 104150382; 599546760; 1018802513; 918879070; 765240431; 76069284; 277593518; 617133498; 881436458; 885711550; 643926872; 856103455; 347930116; 318421342; 479254483; 439521373; 615565725; 495395244; 691132660; 18447242; 78810146; 1066811871; 851420025; 827939649; 83556696; 525934579; 445900166; 1025057438; 446365875; 705455180; 28193884; 458881325; 243232486; 578215220; 592011111; 950368446; 351161298; 1035240518; 53148510; 162228693; 435926173; 913557646; 231682686; 91584477; 360565715; 494193652; 783480745; 335867094; 154104119; 656338148; 103380268; 166417737; 698770347; 1066559881; 769042527; 13282210; 99200958; 410454977; 142872726; 351253325; 49951661; 193868632; 131593816; 129174003; 981059608; 564357206; 363206215; 378706529; 890365932; 409783736; 691427393; 821775888; 501263663; 632430402; 311418118; 457057316; 1022676789; 263245714; 768981564; 941176286; 30458131; 319491642; 1017056869; 752076281; 213756736; 796409623; 61963887; 131476229; 309547; 334395430; 616174998; 163565555; 840690139; 122161260; 85551333; 265708155; 184078184; 449660044; 792999881; 516868435; 360811962; 54837258; 172297114; 377963553; 90262995; 753660030; 921312494; 476421752; 279471425; 643429340; 572288077; 601777002; 669967745; 198186928; 529092098; 516112322; 189852486; 91248607; 732536926; 382380632; 193291648; 992532364; 976862815; 840854341; 822071252; 116345626; 848142198; 237689733; 83770262; 18587667; 693569334; 806823494; 251693417; 1109357; 732917897; 951318230; 421775987; 313000547; 727039341; 540634958; 7224803; 865459413; 702102595; 17085564; 894550168; 1025325756; 532269613; 426158213; 200772805; 54560950; 936400240; 726649718; 581751013; 362355455; 810437703; 62172107; 79330188; 1008819092; 946013593; 5474864; 965364492; 198126509; 60461537; 410335927; 856673523; 923431074; 155965967; 158361047; 590223470; 44937862; 1055594500; 990560270; 20017611; 59015989; 999941338; 81020171; 813909420; 146798569; 313547193; 499364597; 727365597; 697866712; 628282933; 1038885527; 674398171; 618816028; 261488815; 190298888; 227684731; 27944591; 812715345; 772803955; 191613039; 723871656; 237447156; 362687790; 334549440; 264345086; 1016971361; 142599616; 991616430; 774754141; 74260073; 505333236; 960622191; 996034102; 677796923; 314914936; 349993880; 323040157; 952011878; 263401814; 991025461; 385505758; 270290730; 80202121; 50638391; 849011187; 556193746; 658216460; 476234041; 457323271; 1055937417; 734786044; 803257784; 910217845; 899318475; 509937578; 577067284; 29145894; 772055748; 159821487; 657143902; 712349107; 14142885; 873432064; 310416024; 296602389; 220092744; 526710368; 72057243; 622946345; 1052632721; 804191275; 866815566; 338612742; 174898998; 529383575; 217400503; 355181061; 1032674908; 671816600; 933840114; 365654243; 95414412; 284011527; 966921790; 662501861; 545216898; 3817101; 1002801337; 513660207; 669902463; 287794756; 591564182; 685533412; 338770828; 6045323; 875360282; 1049637356; 21523873; 730806242; 52319436; 547942974; 378620424; 301531599; 942884253; 360493824; 923476962; 608107234; 1017318337; 549079539; 68301018; 707377007; 234304972; 374316092; 496916075; 723166735; 338234602; 913684413; 839828473; 142794532; 924280626; 308334715; 97579907; 461079316; 899527835; 135140758; 944255812; 1043272378; 716436418; 991506750; 611548913; 132016123; 612824758; 465409673; 844166169; 1048987556; 285291209; 828426430; 544640742; 1011231468; 259594502; 901670278; 250916476; 567638664; 842627886; 187952557; 627427789; 1008659977; 215129132; 83590224; 1035570091; 976402189; 316124677; 131816516; 37279954; 338339787; 782030693; 858756846; 432922520; 1064588984; 714404012; 560425658; 642104363; 1052118822; 1053319472; 158538188; 581979416; 620257844; 367437764; 404134935; 565818680; 382699071; 944289246; 618390955; 573466583; 446529820; 517257290; 655465691; 234883018; 722680338; 1047368357; 606767001; 873856546; 630426790; 549394206; 729615498; 1038579351; 503194418; 371983298; 955344068; 114638897; 544135314; 544592264; 1018825450; 309931587; 906444950; 732184889; 213056762; 891542994; 286719165; 917937827; 957462650; 558423034; 708679597; 291604543; 723322373; 50576379; 490063679; 951792775; 582527822; 33564659; 238345065; 500457575; 698900577; 965235897; 672010192; 95361743; 218552098; 687914659; 487839330; 1063978677; 379318006; 781448348; 311282980; 493310860; 892355078; 1014360591; 452466022; 226421533; 577752016; 482967200; 887916030; 1073118045; 969342159; 504317855; 160168689; 272919573; 609450080; 848907099; 58314794; 546023667; 968546676; 528936580; 77632060; 947221393; 832148792; 116915015; 62840207; 788875166; 34199925; 474482980; 592033162; 317419773; 189380230; 654997670; 415976964; 672022292; 888934859; 564221804; 221134696; 375314444; 686623385; 179302076; 547877048; 681798841; 590110486; 418061730; 738662991; 982927479; 981546657; 195927945; 877852250; 639350378; 583207267; 754171659; 402746649; 893674030; 765847906; 732222914; 775629470; 63408430; 70667041; 1011154315; 706412638; 799435088; 124997227; 313808191; 453269229; 583776755; 1072971417; 995603947; 338358087; 116745804; 579127459; 571741115; 314848635; 171377067; 483768841; 64810909; 682104552; 771604771; 811437830; 592226343; 341469329; 124578229; 650923549; 148403929; 728986480; 7843013; 38974442; 1022974685; 563799539; 730830069; 940484835; 955784011; 405545986; 246919587; 427486853; 660018137; 177895024; 184282963; 1021304189; 850821412; 939276827; 757926178; 250175857; 968540461; 174413774; 985811420; 951516555; 32531050; 83440932; 188641701; 903234150; 554389224; 45278084; 615180852; 935663100; 367366906; 924157561; 460857797; 1028485001; 822200198; 1072670249; 662251406; 793955967; 3921092; 770297243; 869818778; 98082142; 57583091; 163683510; 788297767; 430803846; 549665790; 281252923; 34462502; 579374787; 13944103; 225476919; 296682886; 986505309; 650129271; 899581478; 99840077; 975235280; 369564899; 402768787; 231828235; 30722169; 111120781; 54937831; 986127522; 683396347; 584902507; 582848383; 962856274; 128518865; 317142135; 625518158; 1037986566; 787868120; 208123705; 768265068; 1018218037; 615859751; 906308864; 946509501; 934538470; 636268838; 781668485; 1005209782; 34366840; 276813550; 556659289; 337839704; 856240276; 778607145; 454275721; 959341516; 117899150; 265262164; 215234659; 710432362; 806486477; 6365536; 236812853; 852826848; 321038309; 2199084; 117227593; 1033446172; 668581905; 946185353; 370513026; 597398105; 644636180; 448542235; 314040591; 290637588; 508161035; 968939964; 972750976; 1068155087; 223293769; 303833555; 725829141; 296563152; 769086080; 82937325; 939239883; 512188554; 371132777; 311354964; 202668342; 901836886; 959482679; 810366568; 654023233; 71099022; 771162156; 109764755; 1052096512; 509988740; 577999377; 4279425; 960384213; 791220313; 387478229; 1016623166; 884756177; 148649333; 804839523; 528728166; 527641542; 34620278; 323315678; 176670703; 465334097; 297881547; 674226677; 907916681; 160089295; 458065093; 255082913; 1027716595; 933951589; 867697489; 46453086; 719893858; 863580797; 442665899; 45982624; 317396077; 715539298; 750740392; 1069333128; 585486193; 434675072; 215546895; 547577933; 861914894; 253094692; 480216811; 203632032; 151707986; 622458043; 432437092; 81198906; 114986405; 925437264; 121095358; 337592785; 1038178262; 600328097; 115664400; 645502517; 383699693; 702771585; 47500504; 282130414; 1057610129; 893363890; 395831044; 659916975; 1704194; 1003460130; 388129094; 822467797; 848546348; 52220865; 531208910; 588260289; 272935794; 274425312; 600270839; 539410919; 345349255; 820673352; 603771164; 396225523; 461961581; 1072817975; 697051401; 638340964; 556611602; 578805232; 946250405; 369833352; 89739130; 613206474; 355254079; 521998484; 720357610; 184369084; 167103037; 494859734; 541934318; 847675459; 572081194; 746568845; 760105185; 167157472; 718170819; 1022093688; 368491723; 96976141; 136124860; 303538542; 792519899; 740428341; 573046688; 533498695; 955884161; 783761242; 749302557; 267708023; 811014588; 409257027; 970285926; 230715676; 516621764; 606661518; 659982708; 803003982; 834604332; 569037015; 638521657; 1049330493; 289577067; 636194122; 487081957; 522422071; 220247854; 220004834; 124611291; 590683291; 664895975; 782877601; 742358600; 770610504; 295053459; 402502574; 892313060; 471228258; 787138304; 359815279; 708089288; 695463363; 364139091; 762524283; 979595429; 670626517; 824928967; 540343271; 1053545415; 172534371; 285558820; 110073710; 769365663; 341202409; 320318975; 390597236; 964507901; 144074501; 392435768; 1019308450; 1046361132; 348956587; 913631740; 107212273; 832317535; 771601565; 1050172135; 235133447; 225223197; 836557079; 93927629; 221533478; 449839847; 723278833; 113593547; 57901396; 608686232; 863583792; 879869871; 1006153264; 642051619; 871534260; 69155119; 902995773; 434210428; 924730456; 100150858; 411146574; 1017756281; 694143829; 274125365; 511528628; 343240180; 657910592; 776874525; 430675867; 880638557; 202548436; 740240042; 883544027; 529122241; 199514107; 502269132; 109312159; 293438729; 736349401; 379382099; 843172525; 766393418; 638316124; 619211719; 953703183; 676448477; 552038885; 636792903; 653483783; 788289113; 352880742; 287665916; 127805248; 876062667; 891930667; 127206491; 250813552; 401708954; 424553406; 490752930; 507971650; 942967349; 189627772; 602096856; 90132184; 468738841; 793283290; 903348390; 478579490; 763798999; 1046792294; 113033477; 193913039; 888387515; 454917755; 83002341; 20910764; 541550839; 972031936; 830538980; 82644511; 99699652; 919763394; 142220418; 805460154; 44470722; 1064151874; 50391594; 204277737; 118203860; 301426905; 342873185; 811734584; 325905691; 551059143; 1016870292; 1062600613; 659258074; 419824456; 460613075; 577990342; 114069061; 486523794; 62422201; 838855116; 774550413; 552240441; 635667406; 934641890; 483781537; 834475953; 570908445; 91796747; 128633192; 243499427; 755634005; 240649522; 361304064; 790609760; 806472102; 833813741; 631347878; 634137060; 530477520; 198833080; 539956145; 544804985; 711263920; 443108054; 196080066; 185975009; 653412477; 619683122; 677713842; 875941646; 184599768; 676423703; 302100612; 663689175; 328551457; 1025742830; 13398681; 180982750; 1021181386; 791866542; 774720226; 228176958; 425802957; 1064711921; 536279153; 978998366; 761331497; 579775520; 1065048131; 987473995; 681249842; 478768156; 419087052; 822267266; 1019191005; 76258708; 240784803; 1064698870; 55211304; 262262827; 44982849; 106171314; 187169985; 329313355; 5248011; 88679836; 578923726; 103631439; 457564760; 483265658; 922776687; 73234400; 135406206; 982584701; 864124395; 123215976; 7282637; 257981323; 414995395; 775446984; 491089641; 82432215; 187986260; 989931462; 596081553; 202707077; 280425454; 471320938; 993037783; 359108612; 721737187; 87916590; 269391971; 263618517; 708904781; 66489550; 151776362; 637238566; 452107973; 579936045; 581846495; 880383957; 505876284; 779000777; 764380630; 698357187; 940785514; 956629808; 410861267; 762780111; 371262604; 308064461; 87392838; 893155664; 1067352791; 772923087; 822861574; 1015803878; 750263749; 388518976; 890652018; 54806920; 954560350; 4545257; 993210647; 964249723; 671910826; 234198709; 461418558; 1061452919; 970206415; 596519188; 253085336; 631855179; 761571371; 552393107; 752561280; 240576477; 586512162; 574529773; 80233903; 550917818; 111260878; 165681475; 484132899; 947644139; 708034878; 268226765; 13753011; 684967905; 152162482; 17318261; 80539839; 609611891; 452429237; 907253837; 309625382; 913822878; 867165890; 376741009; 569501571; 840771170; 121148696; 507812522; 795109929; 367689751; 342108041; 981666391; 667092931; 454368130; 359608324; 671963569; 274938111; 698041911; 514369344; 451633957; 543977863; 359183955; 226862631; 557584018; 481871357; 217643514; 205718439; 776770640; 1055533414; 1630836; 383069013; 384936529; 781458704; 976127493; 594727742; 454115764; 192316796; 209662824; 287904754; 172983766; 179550845; 416570385; 394702505; 492964652; 193900281; 406601240; 378892207; 114402794; 84522859; 447620395; 554795445; 553154535; 129129178; 54838798; 456394659; 653884112; 961939083; 554108435; 1017825737; 827076564; 958505996; 977174631; 356638884; 84269269; 167368826; 731872983; 312906030; 755450469; 228995662; 1032073104; 1024393329; 120271533; 245730387; 854127876; 657913312; 313715375; 246257681; 668848972; 316729968; 277609196; 163374349; 419176785; 436303960; 698196065; 1049605873; 303489220; 78004040; 570395999; 986197101; 361622368; 262921373; 508065834; 818460519; 313805089; 289427788; 782392253; 742685159; 260967937; 345615426; 216181566; 65894637; 717084129; 16385967; 77763647; 925582980; 210098963; 905600470; 5149522; 447236038; 301496714; 723904851; 88541780; 85588698; 100398445; 860522243; 19600875; 1023786082; 99493853; 499002037; 269399257; 436317612; 1017332745; 510324525; 382949224; 150350571; 530142027; 463113693; 295365840; 635314105; 754579190; 620862680; 721716542; 1013717788; 186750417; 1061679735; 410647464; 952040541; 433937672; 493642473; 661827580; 922750439; 377407223; 137370196; 266755912; 745882322; 417087842; 48417583; 43003262; 187333754; 124318419; 913950049; 318832962; 513758072; 816394282; 496707932; 826059845; 630111218; 339965381; 424933229; 470542502; 637672878; 16180233; 920030961; 1009751806; 210758591; 572772419; 213704044; 491693476; 686546420; 731346126; 289159175; 36853702; 395197140; 185190989; 981931743; 600012250; 215099763; 763787640; 278830171; 277563812; 647110145; 115668562; 800174020; 32397023; 423878896; 24924089; 931571135; 588229250; 901120036; 856411769; 847756491; 822474246; 682821922; 71738444; 302052207; 433850576; 263268080; 272347223; 469154658; 886704086; 257123420; 105459171; 504526103; 1054468137; 963708146; 396485836; 314205882; 665775872; 479843372; 1010597703; 717905751; 20767606; 409386338; 729629558; 194537633; 1005483327; 832109939; 435558498; 266801236; 110979250; 266092006; 695785058; 753241616; 407149574; 472184744; 172873978; 262268390; 144761479; 233918638; 14164845; 1014771960; 273442277; 233232819; 784636252; 707125736; 190805276; 464342596; 1018948000; 698763840; 800838786; 1047874295; 724763736; 133635147; 789719474; 216796539; 942393104; 13463543; 1064351802; 487142789; 493786005; 461429739; 313201706; 152982955; 387893478; 1013192338; 383731445; 296317950; 466744748; 140690636; 112948245; 49889093; 445745570; 483048712; 961282090; 924452037; 760589061; 21564195; 875588724; 363579423; 866156195; 914186552; 581331307; 475915965; 794568546; 963786295; 279634111; 775314859; 999264885; 909932324; 404068948; 553325130; 62478028; 732514725; 199030641; 478899307; 871887242; 869927347; 329638006; 1008140304; 397100154; 742250026; 37963854; 693944697; 602157384; 609856324; 594376058; 103007213; 37175233; 228454130; 958494199; 1066499854; 962354716; 66423645; 470324226; 37363804; 327436912; 551814351; 514523161; 619480602; 542679307; 830060543; 1065223541; 608547956; 777529991; 746234957; 337539175; 931840941; 1024519057; 1045936109; 922456806; 235307708; 146876153; 191954559; 651822582; 97038044; 970326327; 752197466; 931351652; 646369101; 43281995; 1047689072; 61790722; 351040659; 117622263; 17086395; 479627515; 378470069; 397084817; 365153046; 246054736; 309615765; 261222078; 86011176; 379009075; 644324644; 916198417; 339110992; 502804837; 140226607; 414721236; 292649819; 480843519; 334122886; 591639004; 366717798; 758876610; 361959402; 707676943; 537992369; 698236569; 333472738; 106062715; 535872787; 763375508; 268604861; 39071370; 869429774; 794014515; 596836006; 1044836332; 365569407; 578685026; 320880077; 932738558; 924545309; 964097030; 593882680; 137900186; 999091326; 890262868; 496837449; 511333535; 782236618; 389212354; 280918545; 819966232; 470008996; 878545693; 947807645; 521614373; 575102786; 1072486065; 766005671; 460966918; 763088549; 154592112; 696743454; 847779056; 887721980; 1024665488; 772076499; 1057314597; 95544422; 693280327; 160702995; 673944253; 646910645; 605533760; 1041393949; 393126097; 956098821; 91184203; 107922472; 1039978594; 104207993; 310263573; 386188456; 642720374; 988356004; 37989450; 480018754; 524934156; 892388733; 532837521; 558732304; 540904043; 749672200; 437471368; 277680190; 456867103; 277618298; 138782736; 629951044; 81183326; 285034943; 566867964; 291615962; 722351890; 517320186; 271680085; 1017029333; 56537519; 917685967; 594753426; 967531314; 1003801433; 264074312; 516726128; 973215314; 733918440; 145002139; 22700244; 244326508; 346538264; 481819412; 550559181; 257931201; 719437129; 910968944; 641754832; 899701957; 400321516; 500279080; 117796851; 824023068; 262713234; 650437084; 1019251152; 165498951; 1059865185; 777171305; 797683708; 445330801; 940316413; 785334789; 261614776; 625572027; 79745150; 251526533; 691068436; 783384733; 297918263; 609441753; 871987981; 484236075; 716704530; 332304366; 286452286; 539215623; 227329518; 25424189; 9271972; 674459578; 668513660; 163025739; 684146408; 740699200; 565636377; 1032215195; 602407141; 913329907; 917740695; 127570135; 31516424; 943132018; 184850221; 294496774; 22370885; 521151174; 632318105; 649504205; 742971186; 779335075; 390282648; 776527222; 900579909; 445629811; 679839158; 231953434; 592754199; 953103378; 387419839; 689490408; 463641699; 600278938; 834298539; 129800037; 626535010; 457898897; 164858810; 435214870; 27592368; 650578504; 111093437; 906454623; 47084492; 363275112; 652514187; 734041171; 876106560; 848079331; 183297201; 577690761; 208766011; 500343055; 44939532; 887989520; 637839282; 453661739; 907878368; 879461208; 1039054924; 549769249; 166921307; 637734864; 1042510922; 705923659; 579718358; 211233298; 798402671; 358578983; 819079401; 46219986; 729819270; 344527267; 848314010; 448419773; 1019080691; 608232450; 968802161; 538313274; 90853540; 502282010; 977173838; 1004420421; 590037115; 891678691; 678164300; 634158703; 800940464; 702190548; 502063960; 1008261188; 614014331; 733640738; 31299013; 563359182; 183813056; 860027852; 489193486; 410232316; 539083468; 1068417399; 826792609; 114496953; 746493091; 148116317; 463063892; 157941712; 731850642; 142557525; 441453865; 216318485; 893332865; 1069373009; 1038180835; 27209356; 555457585; 10776446; 979726969; 1022921691; 362097252; 922610391; 452962871; 291216151; 798524449; 94669935; 740152144; 1060434275; 953666849; 54622156; 408650868; 442240272; 370416379; 459495144; 129452628; 759751400; 137864450; 488931548; 770839244; 181131614; 150008466; 264544052; 588404015; 657276079; 53857786; 857830053; 105430982; 495881878; 417901844; 909828364; 173640249; 246049300; 34928441; 53361482; 660792911; 897243293; 1052595532; 583052454; 622572188; 496410476; 386181928; 302389973; 742960859; 286575935; 408078739; 269520727; 430880618; 963473831; 761747204; 659797271; 750590609; 125205551; 434911623; 973270322; 517242665; 690965560; 433549933; 125457716; 487155372; 831004540; 874103675; 573521065; 643495551; 760047534; 551639315; 679425384; 100224838; 708475898; 455987846; 179160959; 683311639; 624289138; 919886653; 603510321; 654657421; 999341513; 205174782; 634867848; 122078976; 930659446; 964839651; 894832068; 683303878; 426602111; 535581802; 748852348; 575166543; 202898357; 377906232; 546953190; 719328144; 275988651; 385109678; 732340295; 228149948; 825482634; 145319182; 93931520; 655919023; 539519866; 1045540523; 751930978; 106762674; 406490289; 93578737; 857834407; 1014656721; 647106831; 1029559040; 399541826; 884749332; 909540443; 294731416; 539078116; 231317776; 204527581; 995322133; 381376908; 344295627; 945445091; 156014604; 180971261; 3640182; 159862827; 637994727; 244664728; 851229037; 17435485; 876336936; 442112695; 517575042; 382542218; 699601160; 791005097; 729825162; 780694508; 635380796; 890191957; 833233831; 492867449; 994953815; 888822896; 1055764104; 243774660; 231768168; 472374060; 166653218; 48336518; 430649336; 957938541; 124518616; 181775105; 194112749; 438325471; 569356086; 112616517; 499522976; 153234794; 335929422; 803279750; 377359296; 905617527; 1007851191; 220625531; 749070097; 592692737; 655275279; 444652863; 1066833554; 608787633; 394825556; 252322626; 967278640; 409426047; 663026704; 1040467824; 243195907; 483597935; 700236707; 991154925; 435776846; 612990411; 587355311; 568988974; 922882807; 807947800; 186892435; 734820383; 808133936; 695015315; 155676015; 935811012; 407939938; 717012919; 703838022; 924421973; 735214463; 317132322; 133081954; 508734120; 474928621; 734310679; 401092102; 558737704; 537099417; 1026538977; 687554767; 567822247; 505142040; 825720578; 348268031; 353422843; 766421726; 264234055; 269493593; 1007062920; 369391375; 543473067; 95296340; 965164462; 645075120; 718321986; 916756765; 954919362; 865474519; 584256324; 815990997; 659375568; 801653728; 959545373; 473259736; 617711124; 368974616; 432513145; 914317658; 69422408; 154228574; 806218414; 608294166; 540731680; 101635351; 793088226; 1027766350; 976379861; 555548819; 296406715; 791160230; 424454003; 775923459; 766431110; 616128607; 162484050; 1053745961; 3620843; 676426409; 316900167; 802339316; 917370137; 541911563; 55560948; 280235565; 370714529; 515957588; 713389650; 343644140; 417512246; 514639863; 504645253; 19825404; 85083673; 701431114; 41722123; 548319923; 278468699; 888725858; 965008636; 383428824; 339410516; 832732650; 997719674; 1007942736; 958151696; 1037603557; 536115169; 454901104; 1008636389; 276410160; 635291735; 208758943; 373500499; 994926226; 859363931; 953822215; 608098079; 174827635; 443315272; 113730256; 652271499; 636743404; 590505556; 86681412; 426357605; 5449683; 586536887; 591719052; 755037183; 965944658; 441716125; 490593137; 720205337; 552672869; 677736003; 467567336; 219638665; 74531173; 423099019; 439755159; 276337840; 648567511; 44516104; 790198468; 867521439; 279679197; 455473555; 635599101; 887631050; 821955899; 604321012; 604085817; 254822713; 724025233; 684558322; 590779988; 613176777; 847360583; 839228216; 38031728; 1022507283; 855212777; 745974025; 962896854; 838144208; 187547198; 98852599; 1050482389; 777790662; 128556793; 814096528; 175776204; 726249574; 454804641; 846170958; 649740572; 379092795; 603766284; 825155043; 1044287230; 183708458; 989304891; 338777540; 356956774; 690574660; 286907174; 797419734; 907342475; 45015572; 901676312; 571580578; 821194481; 121776932; 267176167; 297106406; 405630049; 964045216; 977073546; 27459889; 137506766; 438514616; 303318403; 946318777; 992439465; 506277384; 365138718; 1071696046; 661941981; 489922881; 444426706; 222722114; 20328371; 257392943; 702425528; 429470903; 649000955; 896132285; 762490920; 387161484; 56405641; 929557279; 467744524; 3271649; 212650053; 694101903; 996620675; 232939103; 443921921; 147515362; 442042937; 891607781; 569424927; 374432358; 25895226; 1063040050; 636735645; 363948997; 99748725; 637528289; 89861873; 388140452; 613461166; 334093146; 670301560; 499610615; 478568253; 940527975; 88213059; 801139138; 78933694; 524335886; 54773892; 898857141; 68853034; 53586801; 777855604; 837562487; 776994171; 503980510; 60065286; 250235224; 627826146; 511360283; 441199653; 982492017; 1006841172; 220208635; 633325199; 427407309; 248948951; 71616723; 139698207; 379089902; 549256016; 937603010; 69425017; 241142455; 555953667; 43968712; 586924919; 309711930; 205401771; 156799191; 698643977; 951628089; 348009152; 801002696; 561708894; 419621562; 596832758; 186222773; 57161462; 1006477806; 432774686; 198459019; 659144443; 962595725; 345320963; 107114098; 683723902; 591762665; 540866494; 1051672944; 1041845092; 1046561905; 617533938; 84877407; 1054678803; 557208812; 663901353; 51531574; 366921493; 395604133; 483229248; 540646846; 1012669082; 1029575315; 313491859; 329678350; 334390094; 188236364; 536493389; 1300828; 984162302; 109961309; 13432200; 335753696; 890249590; 291907158; 990989119; 55894270; 184720436; 20148495; 669318103; 510673255; 964992349; 491196511; 818269946; 342550555; 198062083; 528707780; 229762343; 522553031; 940384008; 55067932; 220134098; 498746604; 830715352; 824827619; 280541778; 484960838; 415707328; 195551722; 951515974; 123373587; 574657112; 696551706; 735841790; 443247958; 402640713; 616100342; 796335090; 509573319; 398088473; 185200193; 429853969; 451188950; 615790768; 151504487; 293561740; 183748757; 722736994; 1050344085; 692354725; 1048776107; 988462274; 1023239517; 902040133; 884399385; 141940289; 325599080; 386629880; 580973177; 479883828; 970752729; 23939491; 434854498; 142863121; 753826231; 989736166; 840293709; 196074144; 706645107; 975011261; 82532639; 657584743; 347049982; 696444823; 413366314; 177700985; 764778348; 43150343; 360169693; 1025978710; 585035373; 457350238; 807110021; 329104568; 581820466; 747983623; 286400572; 756427681; 1051476385; 860979637; 253444337; 566212577; 59032452; 843886073; 206688262; 813711250; 873497936; 637013493; 73256132; 1040599280; 759862134; 521637502; 317596725; 244021107; 200297284; 924524548; 371239187; 126776961; 423114097; 770845784; 159620023; 347314653; 1032671694; 885864941; 252442711; 722467263; 162708527; 291274216; 643381100; 331009471; 624012418; 880273619; 336571233; 148797914; 330392777; 316589058; 274080908; 877523778; 422708027; 879219709; 130071409; 772551424; 66873062; 1067849543; 646106588; 108967696; 148488633; 972353623; 151248628; 34296378; 101137198; 171281210; 309089322; 361486095; 378072461; 331780006; 623500915; 801796308; 873145473; 988394086; 142323831; 426086779; 399888595; 218774578; 747696550; 825718255; 231436821; 881190832; 94961535; 1064801085; 882537549; 168879555; 282185022; 178692977; 143306086; 826792047; 206952630; 809947204; 94778880; 688489036; 26799692; 358473969; 1046415486; 836862815; 152107687; 842752506; 396435453; 932592485; 583318416; 229958455; 938969042; 944954343; 99574976; 389779115; 1073067379; 350798634; 1033377565; 509325542; 290493350; 802629763; 8507293; 1038370811; 252843545; 973199317; 174515399; 135001054; 880993205; 531667613; 435390066; 806339825; 1065223210; 333547641; 386834950; 79349897; 634911206; 251337315; 54466297; 1002974801; 878582494; 336856262; 312451481; 78058563; 495839090; 252371501; 698872381; 954774068; 302429078; 481226577; 538860389; 647396681; 305918734; 383064971; 229252801; 189413838; 457251935; 782876061; 207102763; 65653771; 125116539; 679454128; 234911646; 243053891; 552982304; 113108507; 213907931; 26046238; 875344282; 652786894; 58105232; 810796559; 823515607; 518091703; 455786095; 959963588; 1031786660; 261408992; 205784753; 234874605; 778815977; 923408926; 528635408; 25043929; 35319657; 959437001; 651522446; 157249786; 907664886; 754342156; 774929461; 191833296; 652284125; 874937272; 385356940; 106427137; 670624364] 21878) + + + (* Grouping test cases *) + let suite = "Test Suite for minOrAfterOperations" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + "test8" >:: test8; + "test9" >:: test9; + "test10" >:: test10; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimize_or_of_remaining_elements_using_operations/scala_tests/MySuite.scala b/minimize_or_of_remaining_elements_using_operations/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..b6481218680578a0bafac2dff40db7cf49182676 --- /dev/null +++ b/minimize_or_of_remaining_elements_using_operations/scala_tests/MySuite.scala @@ -0,0 +1,44 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minOrAfterOperations(List(3,5,3,2,7),2), 3) + } + + test("test2") { + assertEquals(Main.minOrAfterOperations(List(7,3,15,14,2,8),4), 2) + } + + test("test3") { + assertEquals(Main.minOrAfterOperations(List(10,7,10,3,9,14,9,4),1), 15) + } + + test("test4") { + assertEquals(Main.minOrAfterOperations(List(524090267, 312026048, 238093783, 305937332, 332445133, 678889095, 766430227, 907853586, 526154269, 787602279, 652231487, 599477278, 334513195, 576036332, 272672599, 917569445, 179248110, 115211167, 93032584, 496133264, 855780297, 531534974, 49905719, 900249290, 569853120, 740859117, 833224511, 455336951, 362685097, 780010552, 345300210, 888064726, 626528431, 121227462, 64416630, 332616726, 236137767, 614682954, 414750430, 471878894, 521944724, 921471261, 772474049, 155302327, 842705940, 339745555, 519885436, 520105500, 681263804, 771959697, 536287876, 594482759, 575265054, 517053607, 883295489, 237510116, 44048610, 684473107, 51072681, 434862542, 999814343, 180711256, 205743066, 1038939263, 58193189, 341137325, 383725441, 468256521, 82112489, 930414702, 171729462, 161215988, 18046645, 948199819, 897161275, 324574870, 324356740, 349437184, 295267297, 106863232, 55931821, 686762097, 711714829, 446561982, 1014161326, 204961608, 291741059, 638586217, 641026113, 658087918, 407256649, 756381801, 160256447, 713668585, 733818375, 12599931, 429624718, 392328854, 830739746, 28502010, 597851323, 290031500, 588662265, 993676391, 749856914, 1048222236, 569925986, 909246770, 890092342, 859843576, 231966559, 895467204, 179762331, 637872399, 217640004, 872181489, 751659632, 463109573, 126518327, 370666390, 757754842, 750326232, 174813562, 280610000, 953198654, 766587992, 212009609, 232102824, 723879680, 835805797, 146268757, 116922326, 544440273, 822098719, 484729568, 340244655, 165874140, 82075803, 675129355, 7405218, 128959368, 983758367, 642210801, 202482303, 821578980, 444239986, 697222710, 7022788, 701605306, 414067809, 1057969821, 914834389, 404485854, 55202543, 227733051, 918237494, 470959727, 668538750, 743940516, 305472196, 182726743, 780652111, 679402466, 823844063, 768243971, 756709234, 954510095, 250658293, 919758364, 818660895, 27119045, 8831362, 105791340, 342592293, 815891588, 254218602, 846805038, 194505754, 976154477, 91235027, 484262003, 190245936, 1011280150, 65850939, 954372198, 354144400, 336171637, 251863691, 493624647, 666534334, 382737386, 257748212, 291470385, 842150481, 612002480, 498184107, 676864926, 622779242, 713840163, 713369858, 818754550, 652057638, 952951370, 121125483, 48552072, 289817519, 934517324, 423320455, 887457203, 517490899, 994953375, 531885949, 28258115, 116515044, 1066698635, 8322820, 137404588, 944327758, 822207964, 724495147, 640835910, 273514718, 567205382, 661482033, 348153585, 724488680, 43382687, 874631462, 99642134, 134520436, 500726439, 111144734, 424455305, 606142046, 635230309, 851528253, 275836383, 479318671, 790222976, 164687204, 332654723, 762385381, 988350441, 1017139534, 757669774, 512680982, 679708750, 26700833, 440154094, 422255913, 1050603851, 31539925, 716845184, 534988722, 1014413402, 194274876, 200578837, 576063459, 371817543, 905279830, 712322069, 444552564, 139755701, 195337179, 610008459, 705646953, 842892034, 715482895, 5453392, 36159377, 633630300, 305000814, 894139870, 354629151, 524762499, 604172068, 181780919, 832664546, 563595668, 717588503, 49280406, 663399216, 1068603514, 293060651, 517809254, 1013083574, 941499989, 101714223, 328426785, 842411660, 830770046, 319611731, 322963462, 49338228, 121323750, 264591896, 835115240, 652333317, 193569845, 408777794, 751863471, 236484001, 380766026, 133344534, 701636674, 44195082, 694056104, 485219269, 82441352, 578558880, 696450510, 484502368, 16850595, 366945976, 565304534, 589120248, 741704199, 767338504, 569614474, 301032388, 710010165, 308674335, 833740968, 50497256, 1041196938, 972994274, 835138772, 1045366452, 600332460, 692505577, 371495125, 912349331, 222807989, 293432999, 894679303, 114451976, 320121257, 947329925, 285159843, 792078751, 464321589, 663796737, 503902688, 766664215, 534650696, 129138357, 139549642, 955367333, 801370561, 958191220, 238540738, 19065173, 177568979, 530979971, 156563967, 848958107, 339826093, 465240939, 73191667, 658546441, 982323920, 422708886, 359092060, 570014948, 339951426, 591756315, 330303725, 966886723, 237657780, 402540622, 38892755, 35326898, 1067523297, 106084208, 696629376, 313614985, 1060073670, 1034696223, 183058334, 269306411, 979929651, 471796054, 923620998, 509148899, 278174460, 56127964, 929384099, 478122758, 1070841228, 707590984, 893668996, 803324624, 808912419, 841972067, 727462234, 923020182, 835121340, 538364489, 1063652066, 220071672, 47234934, 25784788, 831608266, 804021130, 591294615, 129199459, 405629441, 712391310, 1028152578, 859955117, 728966301, 844549155, 782201944, 805024686, 742468057, 552125083, 736413402, 542958739, 985747208, 77950210, 816024512, 241034503, 398936238, 97013629, 373417247, 1031327540, 195553055, 929181278, 603266517, 658516098, 701406801, 846375569, 385693498, 885070280, 536717269, 656285227, 508041760, 115663473, 309662209, 829853498, 581057661, 371915502, 141343876, 37106681, 429768677, 140051579, 825919731, 715854611, 772021990, 30963942, 683322281, 190485449, 659698041, 183228301, 185091488, 1008139801, 1047066291, 102834348, 535034861, 14990317, 688336942, 452154289, 853548508, 707551717, 156483724, 887668008, 533162589, 338093450, 567476576, 265964651, 176758776, 740954139, 633363763, 828225717, 675183623, 30888434, 68461570, 297889797, 380781764, 254953785, 49109800, 821163518, 377675489, 290875577, 22654442, 436529890, 754260017, 193443918, 283381677, 238231190, 1040981968, 486198409, 771830278, 560896544, 281110044, 748847707, 801259012, 1039450159, 830061530, 353898151, 885515827, 643640224, 267491957, 943715193, 753902675, 376974059, 694139124, 64686139, 226300432, 918142962, 995633517, 648636213, 956620921, 56336308, 198465213, 429539176, 772825956, 728602315, 344502037, 544484467, 1024897728, 555001760, 962769074, 519326370, 292446415, 194965358, 199246274, 664975187, 658234311, 950431273, 1021936025, 137237175, 574420008, 353613666, 591791909, 303077282, 194895331, 900281387, 413595989, 132010670, 547792813, 314608869, 600122688, 1791059, 3305991, 394936449, 462414193, 716812125, 907458284, 956425635, 47289603, 599355733, 532781764, 295488261, 735191817, 853287327, 775331673, 1005235555, 971472184, 862976596, 84841516, 207704078, 276908004, 651317272, 787094318, 534417158, 975522208, 492521814, 406648803, 837298703, 267372933, 205133831, 45227716, 754337807, 560382590, 985613845, 901197772, 502516041, 826895251, 714107208, 618694582, 191610422, 1016598051, 911830911, 155060018, 522268181, 867597276, 297571740, 273337944, 141463906, 336106774, 830033241, 809116959, 982414633, 884173995, 150167162, 813693429, 821964053, 313500983, 540543057, 1048523918, 510696106, 847585323, 214784126, 662885103, 639998645, 394463110, 457937261, 114693067, 315753514, 127549552, 954338928, 50233395, 798538143, 783475793, 506291133, 878844008, 631037244, 100984831, 831747672, 1052601368, 208811083, 687548377, 336898447, 584403584, 830874654, 832220716, 711630016, 74631668, 1010890448, 373088752, 803079396, 8713930, 528147424, 273151000, 125978926, 44390684, 338755411, 839245338, 449786003, 49294616, 746702640, 964232697, 529008405, 376644810, 982398261, 814123756, 1054812761, 177381282, 211357595, 354667025, 89025228, 873254343, 673885420, 596994465, 397405245, 230668799, 375555736, 530150581, 392067804, 382758572, 93728017, 595040775, 254234620, 493927028, 982653482, 139725313, 480518776, 809344478, 31975642, 37332620, 346706603, 419005722, 715479514, 441443007, 232826167, 805234930, 478643672, 160660810, 531338711, 119614866, 641358003, 865954199, 443786968, 903555311, 969278263, 596402972, 570729410, 736106314, 348586094, 181979684, 379652414, 396594027, 960707627, 104054539, 18109389, 919018796, 735541607, 111814612, 517092696, 276685918, 339734950, 990783591, 622074483, 464193326, 816238814, 926540349, 359813173, 418373335, 598496443, 665999758, 105165173, 55857037, 773833891, 919230924, 177065867, 758451491, 567973219, 401441943, 73658264, 661506118, 316083924, 172913982, 403426065, 475880944, 908262287, 568892747, 600063804, 89489135, 1010517253, 539806130, 364431116, 766830208, 633225727, 378167348, 180067567, 240817847, 526596916, 617501208, 351706548, 835659222, 604554542, 241382056, 782664337, 280849253, 557757497, 258752252, 273395281, 837943768, 640775677, 980897341, 187835039, 793105601, 450375397, 532594726, 31138048, 239952940, 691729091, 26966568, 224221330, 1059370985, 66301424, 973461628, 18013629, 366605015, 917646859, 100061317, 950760905, 908077585, 461336797, 481456108, 112719471, 801965774, 585452647, 534550181, 494977584, 531196251, 971254048, 549054276, 213436046, 1065883515, 806005758, 813720121, 153504633, 419466686, 463621880, 645336785, 384625705, 433862733, 536821814, 368999430, 678293449, 378548420, 411528921, 171700410, 566107675, 603446752, 690421826, 390950902, 173317224, 193085170, 812654058, 754944507, 685589777, 1055090949, 1064984261, 945614516, 234314598, 75156121, 83253688, 167791403, 319884212, 945720896, 545772657, 149176208, 221808103, 259141803, 87487113, 15258084, 476055156, 984727085, 644414679, 474493359, 6137579, 535702558, 48797284, 953635042, 975374609, 338547898, 678486812, 893902128, 891809474, 343178908, 922130807, 289698390, 762950224, 827004571, 816022858, 710727518, 197790992, 855451303, 342171535, 783395017, 94386911, 737237001, 422986456, 691244585, 900622621, 549312374, 887038735, 891468981, 420314440, 378330534, 237476228, 643255156, 991032470, 268638503, 854292573, 1049058065, 682784585, 813189699, 449361781, 394669391, 702955520, 601583718, 751382071, 275111789, 298269656, 581627724, 782073873, 26367223, 767965179, 420118147, 309590429, 13804968, 868747849, 553781546, 1002347874, 923390296, 164476647, 1004976599, 777949161, 512506419, 626622261, 399057027, 458179177, 1015504579, 822220555, 282215357, 927328527, 56186055, 223593024, 23799787, 987275267, 657662153, 271298878, 1023461653, 882924196, 374608510, 1031143142, 444333275, 27562312, 558114191, 203178717, 909087523, 328186338, 506604905, 848072377, 25338337, 459010435, 834415346, 179569914, 205145897, 502185039, 800757626, 283341023, 639465878, 790398599, 418098740, 922954034, 808600236, 578109617, 87832988, 53365395, 715075119, 354167448, 777099209, 512284549, 94648119, 239167637, 722172054, 296996122, 65636832, 508450565, 696330758, 119370885, 634662684, 488185129, 422885621, 539595220, 1058148713, 506820518, 809747363, 1013935339, 534840602, 418461036, 1926925, 352783719, 805116918, 83797089, 119784518, 859467441, 545311074, 270267341, 299167921, 837707290, 355944583, 729269626, 101003143, 485473080, 386164259, 171078352, 565105431, 834851193, 1031936268, 668575575, 457387566, 106862462, 135392720, 721550830, 727187529, 457635222, 230187821, 30423279, 238911098, 736143576, 1071097917, 881057270, 213024209, 683142027, 301711033, 666677753, 156602308, 967154586, 448903161, 1058957065, 314005010, 289682917, 54140816, 389505435, 297859297, 887618108, 700367943, 410803607, 241427945, 18811521, 106840963, 916628524, 192992633, 134145192, 608232210, 625065514, 1041103565, 786549865, 919578922, 645871616, 574782220, 765016303, 825862432, 610283770, 918976781, 786954808, 674532644, 770057495, 207331131, 77695545, 875992506, 459135728, 204140341, 953438273, 518728607, 542706851, 298753489, 311410957, 342115557, 329757559, 210139568, 900355533, 485509972, 372477664, 512875264, 280587065, 16598133, 58237189, 505748091, 208669315, 1033140823, 905162784, 841221025, 43719931, 571267058, 755337357, 444128052, 454009072, 594379606, 456958562, 763730397, 385014747, 235395045, 1030463061, 521714987, 779487818, 53900302, 291686141, 124337799, 34787953, 170456676, 194317911, 173908365, 517384070, 145190911, 70467095, 1046035743, 345421144, 222394177, 769216511, 739178509, 250827182, 402674617, 184249604, 479809725, 1047135167, 291022609, 485033015, 571048638, 296190848, 884180412, 116996224, 530800279, 456287710, 495549331, 711597617, 537647503, 100758210, 333820316, 233129983, 825440026, 704333658, 142671401, 815428350, 780366226, 999803625, 891090317, 324327276, 787254148, 347486913, 604234227, 971484504, 1072752032, 467685701, 907903918, 255700277, 133231965, 704958472, 338332331, 36208029, 920808229, 9313569, 1017202169, 247242462, 381237428, 215133408, 1019420114, 1052245512, 570757377, 152954585, 976955925, 685942414, 681221778, 883232761, 195710736, 162931352, 382849227, 361136169, 566104664, 202398654, 51974076, 1064569090, 409658548, 592426440, 397238950, 1006902159, 573552883, 615030537, 680801444, 1010850690, 60468348, 710746610, 806344604, 133572909, 299380856, 13481307, 3517770, 1037534669, 1051379164, 150378767, 852129801, 187112925, 134261079, 384926272, 919180444, 529725853, 292420695, 447377005, 953712672, 1036380247, 109509539, 1049095929, 835001772, 155792085, 826128632, 607132937, 554303669, 801958871, 1013676106, 74748012, 502679986, 808514326, 771188722, 768942397, 484794617, 926595982, 150552643, 722870830, 921509433, 349622380, 983411098, 748188129, 225569229, 113214468, 796856238, 290959120, 974049322, 115373420, 642706203, 141610609, 589024153, 899560397, 639619135, 455194792, 1035634355, 33196390, 1037950938, 33354213, 184838978, 417868290, 755957617, 200362758, 592570346, 762645982, 905204536, 338907791, 700931917, 885707502, 450118032, 505403280, 265633208, 714770236, 224611494, 671252281, 210865431, 356847865, 998394009, 630740913, 106105907, 506646768, 650117781, 845536127, 1019925131, 852416587, 207102872, 749935348, 599906054, 976387798, 138374376, 897143974, 456312810, 210622622, 887725060, 118127556, 1028175793, 32494357, 783866850, 555229930, 786674829, 842749155, 330350299, 685740270, 1028130555, 946121811, 613595979, 41889150, 856685110, 636307933, 761561501, 386545562, 344256656, 462241826, 420409467, 925877016, 805503170, 723019696, 750630901, 1038411894, 906001083, 675639639, 1071253996, 115195225, 755218796, 901859031, 714655217, 506093322, 174568344, 116030451, 929265573, 584338499, 210365247, 965167463, 282378893, 782196273, 363709220, 522672607, 326986006, 868723913, 527363342, 916149468, 678517589, 328922158, 932321966, 277316840, 828463302, 812047436, 843976275, 775943146, 138146996, 78825856, 180106535, 1006214882, 706919986, 848346419, 464661063, 789092456, 827537310, 771491273, 428958770, 875598880, 562011939, 558911117, 756072922, 403947459, 72479719, 152063510, 898891287, 589468143, 441292357, 1007257260, 861628099, 776815784, 131268842, 727782719, 364777070, 448042043, 783315437, 90672570, 326250336, 805377958, 1061382030, 597429845, 671290229, 832987089, 732143037, 862033173, 158354295, 228489332, 361057369, 580217103, 204758633, 136548670, 744849748, 713370925, 550280272, 364745069, 412616520, 922092012, 576344089, 266741590, 294017912, 645165026, 497375170, 322397781, 592110024, 259727000, 4361521, 1022736790, 15771169, 836138460, 17614875, 703007937, 77694368, 1045166579, 955029599, 871507899, 988227220, 951182541, 1071606248, 943561742, 876282780, 921137712, 236438413, 214428506, 648204237, 1053513547, 372121579, 998013139, 982406706, 1006549197, 487437877, 857898497, 363113089, 619114263, 251829393, 659094149, 755617893, 934523634, 28168200, 73132764, 816461664, 706376783, 912510908, 878638251, 23916583, 907464547, 76073212, 106143910, 157230799, 1040229573, 127119223, 402395290, 268721603, 702003434, 133374642, 167098403, 597775497, 678346167, 302267961, 673087449, 579860216, 372642133, 805117748, 612295263, 932098979, 895285086, 983566925, 760248919, 1069817686, 592405689, 665052297, 694649271, 171990152, 862372872, 799626401, 889223014, 927181246, 703528251, 936001778, 974530228, 930581389, 2696788, 159797650, 598778012, 534834083, 595786785, 969567768, 136435505, 530056978, 447242342, 734178233, 180432863, 682045361, 887501191, 428179274, 292805049, 499056626, 336371155, 458048767, 849572455, 25448602, 503085644, 39487694, 142078112, 45780628, 391053279, 419389539, 550859355, 539272016, 319547620, 94360505, 176598659, 926979734, 271375151, 717285956, 973219095, 1002738703, 792807091, 968671279, 535073112, 677368177, 658717029, 435455481, 445980983, 108875424, 453635267, 270118193, 43603659, 818455653, 206461214, 33773819, 944623080, 429153143, 664435462, 551920717, 1016444755, 458588044, 924862898, 471651639, 785591988, 762588172, 840955825, 43871043, 886121623, 84964634, 753509544, 23466322, 35809862, 291767274, 277718802, 721803952, 920763681, 333901468, 856980438, 7594163, 229896934, 480217866, 558157209, 513935441, 788778394, 788919490, 657667463, 553613470, 484539408, 657751368, 1027370850, 1052337697, 991473717, 846449078, 343351363, 43611630, 993600566, 325433339, 955345647, 584876973, 135608817, 939153831, 35106773, 967662264, 145442295, 998936304, 577657138, 928201364, 565625993, 148826063, 224826185, 876298194, 645448560, 692279996, 215641521, 545526972, 477242246, 609036185, 317598484, 802420693, 638995235, 256311248, 480598535, 1015447432, 932288554, 1040254643, 565235990, 311847399, 128745544, 393103014, 721914646, 993206269, 777961162, 774420652, 284807704, 266886936, 507105530, 12470748, 536765480, 439437398, 70124835, 744546657, 606648397, 36594212, 644672230, 497530244, 250151542, 929680452, 43471168, 743786752, 853564635, 34665399, 332537429, 217659958, 159144053, 1002287722, 90373922, 904487494, 96987526, 796481611, 534685123, 637245768, 829839804, 438641241, 50026026, 706509865, 872729076, 236985341, 222635843, 349058791, 418778479, 379265639, 291570719, 68655134, 915694908, 761342328, 518795296, 41660235, 270099615, 938892708, 684030620, 412385457, 838436063, 895739844, 606849231, 495643362, 931801373, 837151898, 559896205, 775556123, 5546835, 92488786, 905783, 375663078, 354438116, 871722368, 145989914, 919498553, 590306012, 619295153, 1007033457, 1031170961, 480713224, 173890535, 344873728, 711893910, 938558957, 653694719, 232231904, 838297675, 609449765, 917400060, 561479107, 208783292, 662064986, 762105366, 1016936260, 952416766, 1040267881, 18958246, 834362888, 428852519, 531437662, 439173076, 1052277824, 10302573, 63107164, 607580733, 1052051522, 166185131, 435367840, 516939337, 1053048161, 164509812, 691940420, 537847763, 166516960, 653634212, 504066491, 325605260, 534631772, 646604816, 683633264, 966363397, 8143525, 508161882, 134244299, 707741062, 942840794, 821907527, 1003342786, 216518257, 325549349, 981998924, 281833411, 807165331, 886130372, 884272248, 620881594, 512941457, 70318584, 505313098, 590426954, 223767836, 446568043, 417038728, 77538267, 735161218, 975126722, 996077956, 49935313, 60297066, 830502108, 245035563, 799707860, 184564453, 708141583, 27798055, 927330558, 778522896, 425145192, 717612342, 80059691, 612223035, 863205377, 715458913, 223734359, 274846260, 294422032, 551818222, 345949270, 156490858, 873509848, 758768839, 603629293, 50197176, 271372882, 711814093, 319145973, 640468358, 632926874, 59773073, 735505981, 269261719, 659453014, 374063225, 452343097, 99741817, 186663966, 416433800, 959295035, 819717032, 880713836, 801501575, 761561745, 212381961, 970206606, 742620117, 683060379, 967780176, 699804530, 1012012101, 794940911, 775246413, 929715462, 320155395, 711469480, 32137909, 833461346, 518397384, 617575012, 796374461, 265017371, 91057595, 107148586, 896464321, 539926627, 123344542, 109836006, 383889747, 219125775, 750711205, 236643188, 108395901, 887796185, 178932214, 162726574, 1020411850, 668446482, 798767000, 548996526, 851415476, 557820452, 529371625, 416004096, 1001281346, 448820802, 577802448, 1073137962, 296409954, 314705779, 525575664, 984472125, 170207964, 671334674, 421525417, 169160561, 682843872, 889895775, 786236, 693671763, 892543212, 813844201, 159503586, 110286113, 326764099, 194614420, 351935395, 279730914, 412673024, 836518108, 497895494, 263710619, 200411603, 906156448, 130985949, 150283061, 292080802, 632740665, 241606525, 1020258838, 266733065, 1027450765, 422057588, 903491029, 53281922, 433848770, 541111736, 759391302, 990635893, 1024368902, 803066812, 307207869, 912702511, 106943549, 75736412, 815501553, 998722314, 355735104, 992757564, 515819493, 847178691, 869986198, 909034482, 328545775, 513479136, 257716785, 680754573, 278547877, 500552585, 1021787252, 656638175, 781712342, 847572354, 919646399, 241346006, 539389993, 532694929, 396104834, 1024228348, 940467009, 671161705, 665640384, 382190731, 580434425, 12407200, 265645449, 1072145412, 57083040, 352965723, 896639233, 987077341, 966176770, 222691469, 350992712, 851108609, 878654204, 465443932, 654347075, 683731752, 673803355, 163965330, 544416754, 692468557, 576341057, 242437230, 231107478, 284505609, 247754048, 78886255, 801734266, 377918829, 649109182, 458728210, 683917665, 459034549, 824148026, 481545522, 600630369, 9587573, 948659808, 645882764, 1011276122, 1023727270, 739958790, 405550563, 493260648, 504470601, 228602250, 62559097, 441076125, 904581516, 845255725, 417066153, 1004766891, 596596310, 720132112, 27858197, 572742342, 581536947, 33643770, 847838233, 72326859, 183651314, 274566943, 732149112, 594546162, 989060948, 374917569, 296539980, 258281211, 1057493460, 120521796, 648560960, 253034840, 344692333, 513109985, 196068948, 863491488, 237609545, 727105900, 1067273741, 416539780, 555119363, 983486362, 755363679, 166773701, 327501880, 329171802, 276192001, 704770805, 875056165, 853070922, 108782913, 342494811, 473927359, 413032478, 943573287, 776299720, 321254582, 880728820, 457840666, 679583175, 380843167, 942846187, 703773130, 213673010, 33098686, 357468551, 1026008330, 328795538, 626254112, 909382898, 111991741, 902326175, 342417869, 609659006, 106510968, 45364883, 651003366, 281355070, 594187627, 278364647, 184464316, 187201019, 1032339347, 370459961, 204122375, 719265004, 149814259, 921750533, 15450399, 109526525, 405019511, 46734402, 354503533, 930352655, 1066215984, 470504961, 364213130, 719085633, 342000476, 266350654, 787056151, 1060314798, 534005591, 102253947, 365614573, 577943389, 123211770, 166268691, 258500163, 53866902, 574795435, 1022939458, 521010063, 1035122158, 223665413, 429925896, 604892312, 732859896, 35851383, 170595866, 488549418, 314622047, 526492792, 782612094, 537426709, 721838206, 623806058, 808262522, 149566521, 165189255, 903404682, 635756991, 537196760, 266987691, 884436941, 742719767, 873709979, 484880529, 1013694745, 289634883, 189619359, 549697992, 206440037, 514761359, 778636577, 243141078, 604405136, 1068107400, 271114835, 796715144, 20155238, 917017583, 771654305, 715921984, 552261206, 78646574, 1054920825, 198730091, 309694443, 113594789, 248052480, 900833559, 139988755, 872174346, 827039449, 95370281, 350020118, 928086083, 596245840, 844663880, 642487543, 150069550, 341510335, 764443471, 185636360, 220880687, 92105336, 934064473, 844602367, 317368946, 332679393, 733896692, 32890827, 677629303, 49011132, 784354494, 86841133, 120757253, 735669703, 830215381, 910714388, 309043829, 831946222, 408582054, 451110953, 390508349, 638738453, 852435136, 457460545, 913638982, 748454640, 300317776, 1042941226, 184251733, 692414572, 935077733, 752778561, 576905377, 530500687, 90377798, 682538060, 927568593, 882523530, 933779999, 498956053, 392254912, 1037864959, 867590843, 113612570, 704059520, 562183442, 638584205, 418280550, 273498877, 281712644, 44725384, 166954497, 760455912, 32400347, 844790990, 64644606, 692179273, 166481926, 877526522, 153367661, 279102045, 896801709, 322730921, 612720707, 223842686, 762485526, 602405669, 669411044, 947310304, 407796464, 642509773, 1052172054, 887352737, 646275363, 415746386, 565585839, 377701032, 114600712, 717441915, 318745638, 136415733, 163580107, 644928283, 163804670, 470944085, 879466543, 212632339, 860960979, 1009540162, 446609509, 200669542, 13332672, 923755342, 362139650, 460898527, 336920104, 468228042, 477596551, 904706878, 34501124, 809233007, 51877026, 525168908, 190170379, 17468395, 478980493, 534856948, 997314876, 354950200, 501063042, 199303055, 109324769, 831382566, 612491000, 351638979, 412709881, 405896136, 465500856, 155643225, 209072113, 471508081, 836214730, 778395715, 225769519, 739445157, 932348524, 592938119, 96337921, 582600945, 995308788, 575981036, 238426371, 11058411, 327703323, 711560310, 55337111, 265847186, 35110959, 1062076376, 606271944, 878235448, 150267950, 453667014, 597400362, 505922147, 417937699, 841317498, 704208986, 237888441, 755163602, 10301707, 737476596, 239311980, 555403024, 624405528, 989560291, 305213871, 125276377, 610905728, 200734036, 663284152, 411762837, 280682360, 692981372, 758391837, 123522929, 491687338, 949309120, 501698152, 892940219, 1041155317, 911231113, 1019282115, 4780466, 860826278, 1025143445, 996370534, 169344673, 575360243, 269295135, 963347771, 87779680, 419735429, 93653371, 114278358, 376535854, 652554497, 524446859, 278641608, 173032047, 916337048, 753565136, 733100705, 267771861, 469902596, 96754607, 547713656, 742176183, 1025866153, 28509349, 600273283, 565754446, 676789164, 957434786, 202583753, 72047464, 333710915, 665505699, 177347107, 919504208, 301776566, 806263685, 525303181, 910647044, 761927635, 969083137, 347485014, 174674990, 233549350, 551763089, 90424623, 124713836, 757270587, 171304734, 391970179, 669248359, 1033236574, 430878697, 482845908, 471616795, 26905921, 885902180, 769812101, 941921971, 934651529, 543787469, 730802374, 114854984, 427882648, 849545139, 1011009843, 964262374, 475500741, 176889237, 1034944792, 86445603, 133902493, 933280866, 833465448, 961809673, 329229372, 632779191, 109579664, 452278514, 257160433, 420078738, 701986737, 765221476, 22174933, 422535670, 814180731, 655879235, 135278953, 835041723, 67868804, 216788046, 686857959, 914469300, 625712475, 205240898, 103424978, 872361544, 135047097, 1000970971, 124066913, 531062610, 608969773, 874773900, 749376803, 724862350, 640625306, 1057650166, 564134489, 386700075, 848974830, 162024239, 188509059, 176802103, 653034098, 220425134, 880050151, 860696117, 222347098, 1059449759, 799599372, 823327879, 450416770, 324192278, 174936747, 499792338, 891255315, 379252512, 770810171, 1051619971, 161632597, 518431638, 55991230, 371180607, 738633290, 930385816, 27694826, 659890289, 322094626, 610907315, 703292077, 923035323, 99353053, 423367149, 627211476, 123261903, 863610309, 263830033, 989235189, 265723791, 123479357, 528570855, 173275910, 300685684, 921864857, 108341052, 396552630, 674513912, 256262141, 838986257, 667993059, 800085797, 788848748, 644229078, 76984201, 362750181, 915312463, 406324156, 53352833, 421538580, 407981089, 391839174, 262698648, 913106306, 939877682, 704193113, 939781646, 268299252, 50144149, 664283896, 920158123, 794397896, 415746719, 501836918, 845085601, 114376782, 771429076, 98069740, 1018672047, 425380180, 745015335, 620535828, 122053014, 579007860, 153250778, 567292728, 909224753, 179858001, 1026542486, 605891073, 542662865, 1001938969, 938125930, 899283402, 680005617, 349883448, 817378021, 760451874, 163567429, 813836826, 177162321, 403876822, 1063451375, 415273088, 841982241, 634148580, 625466290, 556355453, 855237778, 1061186151, 567302381, 179204259, 591951518, 238722049, 725169467, 911714517, 689529328, 1003997749, 825476298, 767505585, 392480061, 901932502, 1057071382, 811255116, 910183478, 520186940, 385816457, 192201960, 595797706, 75349671, 203910057, 903922064, 537510302, 1042833649, 927751397, 99524900, 778519089, 852432556, 702202148, 166778240, 683278060, 918837285, 255520867, 392670529, 374355008, 835031268, 290525331, 748951212, 995622749, 939968943, 162230572, 406781841, 899756607, 983192418, 878557237, 336276935, 1044413736, 18228772, 651363429, 1008148591, 1037779459, 808655691, 294096753, 487825138, 870987559, 220991913, 8916417, 311383475, 714608332, 423388904, 103145574, 385628312, 942974419, 270278218, 132208883, 1072922153, 590359672, 863314533, 1022957351, 500926495, 273817018, 674047269, 793948505, 624355179, 911246165, 21321865, 844485983, 996786409, 45138615, 337026578, 995263156, 823063506, 531858662, 991119556, 560651550, 967777466, 630015071, 822686318, 836230690, 953839023, 869103686, 101472123, 903818135, 692430398, 864771072, 551157039, 974460896, 1041234619, 690614369, 794105410, 1034405436, 547958046, 764536867, 301666258, 761552632, 643731826, 26898501, 143121535, 859426340, 1058040137, 258054528, 147506653, 873438110, 128147755, 310562164, 966894199, 924091712, 701329848, 732432552, 284715349, 556379237, 14719111, 918168363, 38726417, 300209241, 726881965, 1023174912, 1007286373, 794447680, 415359488, 990957529, 721813645, 681491905, 195697408, 721676550, 757383449, 718832886, 103869775, 98179096, 577757307, 822070481, 923395478, 204050299, 802694774, 113570160, 491900758, 704538507, 621026472, 83491372, 276395894, 497009159, 903396369, 258761703, 513985931, 577518959, 1029812490, 433722404, 881249824, 186316440, 972279632, 340635566, 518134460, 18815675, 233411846, 269002373, 326910572, 541315800, 217784595, 931789984, 438544540, 490526455, 198814321, 130890174, 773867813, 100565141, 1032716258, 612273915, 1045033102, 336514145, 483018217, 111699482, 875786331, 314962235, 620137336, 838564201, 823228570, 476442383, 261064987, 231188078, 645501010, 265948241, 701333060, 999442881, 662620110, 961474677, 668539349, 973592564, 755688263, 818034956, 608531016, 655244463, 71007047, 594650734, 958162122, 570952051, 411886739, 782764269, 507725385, 148947408, 647985823, 108853796, 240456525, 212915268, 757742466, 905956239, 245055507, 968865534, 669841128, 850751337, 233549383, 771234412, 463780203, 958746726, 205650008, 389526551, 1046978480, 689357092, 606391268, 269088727, 337530752, 748469582, 101359941, 797238082, 1068302529, 17531, 49340419, 294442892, 754049934, 732176558, 583466480, 581129587, 49399686, 234648152, 1061740162, 875155428, 868609265, 505824668, 92086537, 936885195, 448271590, 252045510, 158752759, 161588485, 750388445, 74873002, 228961422, 509018237, 427293399, 989574777, 240275431, 102061856, 20357175, 372101144, 1070106446, 246529937, 380286079, 76107763, 285504048, 45615241, 622899159, 256373331, 931753146, 928372083, 393920675, 727296294, 237227921, 266372206, 142810464, 729357274, 195517555, 205887541, 506400135, 294138421, 323736394, 402378794, 978050648, 31700502, 831433433, 187617063, 240536443, 336637763, 657539856, 368319514, 920626234, 97506816, 581330755, 803585762, 841938153, 577744357, 966620381, 460927650, 375824740, 143278945, 772817162, 890780964, 561227907, 981363250, 231602897, 241219104, 492298957, 897029536, 235767017, 42057694, 765750928, 677752653, 661242929, 1046746657, 891268165, 965483242, 822903521, 432579198, 720446027, 127149584, 987852890, 807002580, 985797847, 684318813, 137993974, 63923790, 271570131, 117120799, 668488591, 386953721, 636308812, 339651386, 90001944, 888867995, 930203903, 261094838, 601287089, 176149061, 743396463, 1030783051, 219876510, 707417161, 940549890, 160999127, 426276004, 558358906, 51315185, 846491395, 651397486, 722043564, 225163958, 36836235, 446853677, 826989046, 304382799, 133532201, 1021350366, 29932223, 522967203, 345248101, 265532737, 953475741, 174113362, 515348617, 1061798133, 387938195, 944690610, 702584790, 528174614, 778825104, 1005262374, 919282228, 696514144, 570303747, 1052665701, 1004774214, 631067657, 950174940, 785085852, 97572277, 1066850739, 1058483442, 561128666, 403282719, 393469341, 690339490, 973583186, 862580479, 1041778207, 1018745129, 201353575, 242225645, 1053346435, 1030786448, 785879837, 69006903, 770180798, 319810206, 197249572, 92728839, 384436428, 384881635, 549856251, 612116115, 998513243, 216873999, 8287980, 178698344, 881401747, 1035230687, 429953767, 77894327, 280381024, 866655006, 744949514, 146379368, 627606756, 747432775, 600315066, 933447433, 36565859, 688887219, 964279697, 257701191, 817694817, 97336559, 1062538804, 461956252, 747000141, 877736072, 666117057, 340499182, 53980318, 832128276, 944513995, 639549190, 208251582, 769361788, 1042403811, 433449807, 680040086, 100872537, 474592911, 584656522, 452920356, 491819943, 1021336419, 167766120, 460393577, 190725792, 887504377, 298610833, 638562247, 757795097, 328508288, 603287017, 743055233, 940883200, 774426973, 771673837, 47998712, 351989031, 103694389, 115377230, 821212188, 1033057388, 41059185, 354524229, 791817312, 1067917064, 131081599, 732150799, 321612793, 169106485, 730866809, 59876930, 181787815, 178456494, 1005401129, 912447153, 182307011, 684329887, 1047871039, 278739577, 331192184, 694009625, 686332716, 216548195, 133129611, 623792972, 603718843, 27988037, 877971834, 528015642, 809747287, 622170422, 354295624, 646019814, 856954389, 631094284, 747800876, 743386887, 195316887, 432403006, 41036234, 130675708, 748731707, 404379480, 365607596, 391180163, 796297211, 626546438, 254235250, 226335640, 997795921, 863062962, 452569335, 213648079, 204060039, 111674429, 219685091, 985119097, 587898026, 675193730, 678282200, 107482724, 529890363, 669825397, 830755692, 477568384, 535325478, 350733945, 594509491, 538827934, 292863721, 524173496, 124514593, 684835220, 436017499, 200915767, 370981220, 498921893, 16222200, 45324345, 266505771, 589369168, 512779924, 82469523, 159112796, 754218717, 648566399, 461558265, 304155412, 174884377, 215270907, 39202561, 715562600, 172881227, 393507960, 537238038, 371129331, 844332125, 712721444, 586650185, 260790548, 903819820, 787953734, 1053193081, 504426267, 167130533, 810248555, 64018193, 263174107, 563018182, 694882427, 711171991, 346672183, 303315835, 925936120, 1026568283, 618958684, 340215632, 529693642, 844648395, 449074959, 547294945, 426270002, 309178930, 301963608, 333568162, 17636010, 352566489, 567402404, 641009201, 48082415, 240932984, 207842411, 326196744, 834467725, 106268869, 786372811, 823177307, 471469659, 31211253, 514002876, 862973842, 794249803, 218804188, 304267901, 1029717632, 615447936, 365043242, 500858891, 41441860, 36202063, 110482534, 998820577, 839939036, 610925920, 235323831, 553740228, 990780133, 525380738, 377270246, 360497588, 476015250, 1035791076, 576513931, 907293155, 1053862775, 842376023, 806243073, 128733087, 872102216, 889771375, 896862867, 362387684, 326252179, 700846694, 372658334, 1026717065, 500447531, 10083675, 587135643, 391116001, 54879382, 61126194, 957522764, 621715390, 758130571, 780945231, 915149112, 324377758, 20908778, 860112583, 712230849, 551839436, 455056128, 509669013, 440520305, 940495441, 662848838, 176437245, 296415268, 543774669, 264215885, 798218785, 1067247974, 411232646, 748466111, 867688481, 648070937, 217216380, 882306167, 335951350, 669001374, 79654391, 519045778, 1053621199, 116189962, 158165023, 414201044, 86652621, 721029436, 216853133, 353852749, 935776493, 677678304, 23369388, 210391551, 25022562, 531976331, 611572215, 991534468, 41086119, 750046585, 717971549, 98076603, 490698376, 72354232, 511352126, 572926047, 244596578, 391990159, 793668444, 814166363, 506376336, 600550878, 368721982, 849989780, 492375988, 610039332, 370634144, 101039534, 310459146, 394504428, 282434276, 1050715825, 1069724901, 297607498, 28522549, 644814431, 206406307, 596458313, 946319867, 560861367, 695048883, 921928587, 379991140, 718023805, 1066525510, 128957731, 405970357, 615609740, 739237960, 80620228, 58048813, 199551044, 441287477, 1001907373, 536539065, 478185494, 109054317, 1034695377, 1028696234, 23582463, 111359568, 119665684, 199301902, 579120808, 674869805, 341858018, 516548522, 894450967, 522631992, 1003124789, 105848206, 412878005, 906428150, 653685402, 655196919, 91329171, 465395165, 987316063, 1027862973, 829585829, 746566654, 866860500, 445460072, 1066008730, 87010138, 220127009, 545774383, 703002727, 720258873, 565749599, 317814843, 175235414, 389884726, 889299105, 54117382, 131116229, 986232411, 920829305, 27913393, 377404208, 1067196042, 790364482, 232584086, 685560837, 707414156, 251587728, 103220769, 820477492, 53759249, 682655117, 677025747, 845289939, 53911174, 650541393, 839217776, 41389763, 162884043, 467551449, 492792112, 866579400, 235104588, 389933865, 946246051, 534397769, 866201323, 233887223, 781357369, 351926957, 1015506698, 276227461, 372191233, 1013891119, 363176389, 301047808, 435796891, 809434095, 852628274, 982514523, 33368698, 564746020, 630757562, 52740812, 11466566, 86940235, 629083207, 30549324, 551678489, 224889461, 858077283, 308151083, 736693249, 83652144, 367734829, 1054630789, 101801748, 861335456, 553257304, 659822521, 504715886, 889680931, 133261958, 872471307, 874251543, 398333516, 251524158, 836745783, 264891583, 417012250, 1017982553, 813617772, 1062181173, 379410033, 321283312, 592466360, 621384136, 607999553, 1067060904, 495512971, 206574067, 92921252, 605283163, 597946505, 116949529, 966871398, 152896476, 591619526, 917559488, 1007999575, 898913094, 201526572, 190403519, 170540480, 655106259, 87606301, 1053822571, 560018783, 844940352, 475329824, 691021177, 402304367, 612772871, 463588907, 326481935, 677858564, 445459861, 255055535, 102871307, 626091547, 941491687, 35479742, 1018915812, 6151476, 303626657, 919341550, 354622323, 461028769, 802486104, 260733058, 743095534, 831214275, 893860434, 1063799422, 629124960, 598347433, 1015237349, 746704752, 665025326, 6602492, 508111434, 967414975, 697468108, 428859905, 831737075, 392935106, 240388034, 651512757, 26817991, 277684297, 825814925, 224021219, 612111785, 325126363, 184332525, 261253676, 80976231, 38657276, 785112225, 174347450, 319276391, 417807040, 568820993, 280525355, 847244955, 620227915, 428125939, 121321298, 86624809, 106633643, 967442058, 137749006, 726890000, 100819722, 80015512, 778167248, 393456498, 446561116, 117291220, 143395782, 777189485, 580931901, 290997958, 388843843, 461880388, 253951732, 148646991, 975318690, 330268930, 671128989, 176875760, 707888246, 702115697, 323854232, 315447760, 522096994, 83689945, 675168870, 121243876, 348510287, 87830393, 170583979, 1064269888, 355335191, 624602004, 9708875, 993050980, 867418014, 234771879, 223769088, 614128351, 233583310, 7057281, 198306204, 548761036, 245187005, 1018792170, 500613235, 343290865, 388740728, 650221540, 346347858, 307476236, 425696313, 702513493, 366937118, 319429798, 480745829, 838121383, 648899275, 661751082, 51059790, 817508405, 355837251, 361799859, 797773287, 926760281, 638177057, 999599143, 318575112, 866663458, 64431502, 668804523, 628903110, 564280421, 851735178, 218921481, 1019045622, 1051260019, 809735716, 613536768, 496646055, 346431505, 677693702, 883188519, 913433289, 521446561, 561060439, 299849892, 706022513, 909591625, 867207595, 782739008, 507873127, 17477479, 905948822, 293064406, 960038309, 532017737, 5238690, 5452038, 889737252, 794778831, 252056435, 311950857, 903681464, 650232685, 509440728, 125049700, 1009217974, 453575211, 16360419, 800982405, 862840674, 869945689, 1011588177, 832094851, 331335331, 235813727, 295789135, 627749847, 575848695, 708801640, 815993675, 81106648, 380967524, 174098297, 265167706, 608758491, 671569646, 851550217, 538973235, 381518908, 511687520, 866804066, 185533251, 200529030, 483228542, 87501137, 444083645, 218415970, 712316430, 514984347, 56095302, 312636703, 908771312, 569766811, 5372197, 924879501, 394160378, 979672419, 612124168, 309798171, 1045373382, 517277464, 398501394, 679988684, 112142280, 966695157, 991814389, 657586222, 593582242, 293077894, 334410358, 257034463, 390382617, 418329826, 688566660, 372362121, 983404475, 558196218, 971944743, 177924218, 673004419, 918245354, 427705539, 401085400, 148086414, 497391751, 658183169, 757189695, 833941499, 528585011, 1034447023, 442152471, 767508554, 513902810, 927251134, 774290114, 226789797, 1002590287, 829763828, 145495746, 97899899, 820327511, 633206244, 265239237, 89988147, 902392734, 86068233, 649108456, 177251983, 342341522, 415729576, 87893539, 18649924, 819466110, 178354885, 668330220, 513651982, 512976339, 618982659, 243570882, 210356741, 200720509, 76377830, 970476583, 740682623, 811160285, 268061578, 288151239, 471424915, 693410215, 702422219, 557377751, 566121204, 611242003, 249619544, 846134210, 818142038, 770208026, 62759749, 232752090, 344951322, 1011372202, 202366382, 107069502, 244084371, 128674513, 730803790, 22670629, 292713574, 381785605, 839818795, 1002002922, 785779899, 781691437, 792981597, 986778236, 429124282, 414905059, 761791767, 428836115, 979708106, 108647999, 307611448, 509165466, 283499403, 10150709, 1024727258, 540523114, 939262084, 664860063, 903339591, 1003326880, 743615503, 132649563, 859352689, 628726389, 525873608, 37923316, 1027331076, 987615471, 436346181, 674604730, 1001954105, 689111432, 366599608, 452037167, 249709539, 728316573, 582079213, 1025770193, 433262823, 389671449, 69185483, 1000358331, 70114535, 578055497, 225000233, 2867820, 316342555, 950902918, 895867936, 749165541, 197498699, 270531943, 96115468, 904070957, 1034251708, 397659927, 932236308, 693898714, 589546056, 5967840, 783384076, 493010488, 918186536, 227451232, 1021566252, 851190991, 200723209, 468207480, 783301177, 951339610, 450734691, 882642874, 777173256, 799465522, 467556995, 182273528, 636923116, 402423731, 945241731, 957996095, 401885138, 628240471, 275326821, 521110088, 126214067, 511780228, 553094614, 744060991, 954528272, 758113942, 430564447, 628099436, 151544127, 323838863, 43025612, 361802278, 237015835, 905744566, 496134528, 56348176, 379510221, 983704700, 304376797, 384929367, 607548837, 803764723, 228365524, 481563956, 764540654, 981834419, 894701344, 444018556, 868086186, 380945748, 450633355, 902328819, 449779580, 762020708, 1060999390, 391723721, 356085370, 368411152, 496527010, 1064792535, 998943924, 164144270, 98330094, 728130323, 317342891, 937606275, 995306186, 597522725, 1053108988, 904889331, 213252512, 117281021, 428787894, 662795167, 177060836, 523733207, 870995636, 950961609, 851993315, 125455734, 81675396, 643529766, 652389891, 982993835, 742093594, 732560274, 984586469, 747834195, 315010709, 803660437, 941550471, 1017571440, 321331832, 477099244, 197602657, 172760478, 1017814144, 747217731, 524267869, 658002568, 283395464, 402328154, 746272602, 715931648, 299665508, 924760256, 957347132, 244555141, 3794213, 35878667, 834634807, 581564316, 952891292, 62100845, 506939148, 186363306, 340751375, 699692566, 129283135, 420705224, 281113777, 378367364, 709588818, 940232824, 612560912, 884227451, 289088991, 296674949, 403852038, 1024996008, 185657292, 609048766, 255272158, 186986372, 243574357, 470378750, 564329416, 155190529, 651542511, 576135757, 894761378, 331832352, 356023433, 657846679, 751182954, 854515039, 238111029, 963280373, 114332401, 787045787, 435043138, 915299017, 464432908, 147083893, 584711737, 788262080, 341564298, 623556688, 10696823, 272175324, 700793269, 9444737, 285419603, 288133166, 1036529717, 718256380, 1029886321, 674118260, 855574135, 305790912, 378853983, 637116203, 307243781, 419587358, 152014027, 923428999, 913115600, 567439061, 972743807, 594848262, 969196136, 746065645, 928377688, 582493170, 989191750, 383635953, 781787894, 1023929465, 532170640, 691090296, 987211877, 137340528, 545867361, 33855451, 229841265, 564906939, 227203856, 240039369, 237904174, 113981728, 468518399, 672112074, 274105444, 350770539, 420514463, 666692056, 490472900, 148878997, 832427789, 85696374, 40206257, 92216680, 789751409, 969212656, 974791273, 646624517, 854639613, 270165647, 1024393136, 519709538, 992810716, 842704243, 801789102, 746295564, 698533852, 982651894, 489356924, 1030350525, 829726701, 880957429, 8892795, 219058482, 647225753, 830349401, 434900306, 406259022, 97746814, 529463146, 744946697, 364365796, 320331036, 642419168, 31261607, 962869898, 785345551, 390783324, 37167998, 875960692, 189260561, 969893415, 701844466, 624415583, 67671885, 517443526, 380693467, 559226595, 289854045, 704372155, 634613759, 762808467, 180533596, 406445962, 360901320, 577453603, 1001281957, 580614647, 407184951, 642902198, 782547924, 122712826, 293969639, 942568071, 927658901, 999684981, 281630519, 451888648, 1026689575, 957014982, 118694979, 1021516378, 426119188, 1042740168, 379239, 127431283, 956270448, 850284107, 8498978, 995886561, 953970583, 675484158, 432624256, 974770911, 359439648, 441358109, 780306809, 720619155, 319211016, 167664005, 920236963, 221900659, 937953985, 787172187, 27798524, 1035717871, 981856654, 596791412, 450813088, 456273249, 248976110, 286838696, 795684998, 901984898, 490818265, 554943980, 1005666596, 599984279, 355902475, 841269572, 569225404, 391890038, 1068676901, 151244537, 443169904, 1007117496, 243087502, 810997628, 192230369, 963495744, 441309909, 205752784, 92958861, 5192866, 792145535, 171816173, 934151508, 136720282, 908909614, 578173093, 723340384, 288690764, 178563845, 843421359, 149689847, 155760356, 561398849, 179458884, 657047294, 597150764, 1069464815, 277905915, 979357184, 905042830, 138629930, 920493743, 444334452, 948220055, 468381359, 738194040, 996013252, 464563162, 1021050058, 52783381, 964277720, 455432608, 722423246, 230186233, 947200498, 840358990, 264536986, 844285523, 765308900, 360522255, 1054557022, 839545804, 414074041, 364397391, 535142256, 251227548, 485965193, 436729285, 556465165, 676365876, 98772347, 506674907, 611048118, 706896665, 778366342, 578128550, 1014631315, 28146619, 597553269, 692329506, 467229830, 638517299, 94860128, 365445028, 130932796, 1004643480, 960438204, 284434633, 930053070, 1054013242, 12356821, 780978057, 994640793, 183016095, 346204181, 251300456, 98873429, 579763292, 900640501, 168072654, 698303526, 470614101, 366194559, 553226149, 396575013, 489518839, 950552208, 248715499, 1023042842, 992816519, 395753399, 445853998, 226792573, 485334426, 950364535, 534617276, 798878910, 147666983, 327854307, 788544477, 284250682, 1048660920, 100727880, 257800947, 90303675, 230168458, 669929860, 203232224, 893304736, 671648620, 996554884, 1011138041, 85394644, 180680891, 959489014, 1028154380, 993827094, 959954328, 557293924, 617249644, 120340328, 89262592, 504703323, 861911103, 977321011, 940006781, 367726402, 486467258, 1059767287, 601372761, 464481028, 270114899, 360238886, 1045707423, 194585808, 976664828, 192833962, 817592945, 24995959, 621688719, 304346099, 376126543, 536523005, 73855370, 659659863, 48019041, 140088510, 977928520, 836501653, 749336626, 831971019, 582368203, 575686579, 241944810, 43908039, 893137338, 715512545, 927689385, 62789792, 1001372804, 85658285, 530646099, 592210686, 1050322003, 25176975, 603790621, 502580987, 946737520, 1044348227, 317290091, 39395046, 179922093, 254866067, 50475615, 65940587, 271800090, 56230305, 413952152, 962665081, 568885716, 795198740, 929928355, 395886351, 714588507, 825084080, 209261799, 109945853, 59851554, 346948609, 64286903, 780072569, 1031961534, 299167570, 912841635, 108762132, 173048099, 464057351, 991692356, 591236991, 444295384, 321167757, 7636481, 73388614, 36942687, 672265478, 732690248, 677304858, 1060637791, 332070676, 562228415, 634650136, 162056081, 1072932816, 392957392, 89343756, 464821566, 646854463, 461987612, 55899217, 194661597, 90994634, 600586726, 672456505, 102526949, 736380242, 495597683, 791149759, 213037123, 434427793, 317880996, 697726452, 701399901, 736005220, 391674943, 34494478, 93652657, 586656658, 556860458, 906456653, 89678636, 992013111, 918449411, 825316716, 181460650, 890585842, 436684929, 543866580, 387569905, 736147205, 350517388, 644014110, 908227308, 189411152, 1006957976, 324364825, 723631772, 967157882, 141121036, 376614617, 86369469, 726028945, 838619109, 1061726962, 522643560, 822252448, 660192387, 428597171, 536954517, 824998857, 562100323, 607286941, 44324213, 997285066, 1062294506, 856563583, 460275632, 884788577, 893999767, 569080305, 330804409, 1028489066, 1065640758, 118948797, 309597019, 899769815, 601837456, 92059231, 196344096, 503122881, 948694820, 165581256, 835615456, 818380370, 321708163, 464833627, 254064585, 508605989, 928861580, 611738238, 515456554, 655402165, 232017700, 510149316, 990008218, 872820982, 404203915, 963563119, 941972939, 917634746, 908380643, 512342887, 6196218, 691739510, 833820330, 676172922, 561453347, 416853858, 555450371, 482451263, 429794921, 117376407, 865325597, 5777068, 521313864, 314214213, 568454254, 845497945, 297862123, 142989361, 790061683, 331940198, 298034008, 455582410, 614232788, 95791394, 391050731, 370233432, 186965921, 28933233, 143284474, 1005056153, 639808592, 214226057, 1022716801, 966340086, 1012143393, 730445451, 68353832, 167973352, 983267580, 448545428, 170991671, 1038619795, 699219380, 97380251, 783587118, 385487388, 553770048, 807132801, 244221226, 526393226, 541749168, 503619898, 270195512, 896322560, 103956737, 390874821, 731324873, 597196399, 815801039, 64845804, 448241537, 664969574, 497613247, 387342881, 612845614, 859380923, 14512847, 858078853, 498389805, 935696048, 888479085, 774806267, 344920043, 590758520, 817133433, 543353876, 996965962, 895320317, 732696952, 134565902, 799163161, 298827245, 909370254, 44432368, 34207301, 700241090, 555812066, 537550116, 404203590, 446639962, 686890127, 45124731, 330901147, 997057970, 796310556, 603385426, 177365729, 997578959, 361040786, 148729487, 391663153, 146869785, 299624800, 801825590, 755106939, 355625742, 27177863, 972870313, 78158194, 431171396, 112848886, 271772216, 47490740, 733320167, 812357099, 40170364, 1054804455, 1025559678, 732332838, 270985116, 267671822, 384762563, 744776195, 23134984, 706925312, 416555799, 712332067, 163041989, 767959189, 902650196, 109603503, 669612303, 718771583, 677328659, 902542565, 892971840, 760839665, 446475634, 188603304, 348214466, 467212811, 947411320, 1033995916, 54413834, 922301349, 271573178, 992361485, 96203621, 684953019, 404619743, 7779370, 408256130, 822277765, 489966780, 983270660, 882162227, 23027136, 394851599, 401046702, 747293703, 564078349, 413218837, 413632817, 353721453, 500149955, 316527657, 1020671317, 512185540, 805012916, 518953232, 423017260, 839194671, 74539958, 495476260, 1010994354, 588229620, 757334926, 406597838, 283931084, 865711827, 16172946, 136917253, 640597370, 517978640, 641369295, 382346380, 416496413, 60149957, 291414851, 948547894, 81165460, 655816608, 26603448, 429968793, 584420396, 650758677, 249588626, 1027241663, 771947401, 454768787, 1073574807, 531876928, 952215823, 649750816, 791883339, 532514427, 451500173, 390409897, 651230962, 279707291, 968927516, 210297933, 930024456, 199657242, 94828346, 216623952, 225995851, 271966777, 738939870, 1007002296, 354484130, 504626292, 813410211, 956898929, 35937411, 10888531, 544570567, 857073203, 647375320, 974519466, 13504214, 64782135, 444410642, 4169045, 610140778, 556519858, 897045891, 185978869, 972961640, 930429797, 734970138, 849759676, 788244324, 736637723, 725334125, 274044457, 157693183, 338516672, 831525059, 168562228, 718149571, 878759211, 5514381, 352379991, 647970229, 584290761, 48228251, 940866180, 194577033, 672249841, 354744316, 459993223, 386410675, 311723654, 742871277, 857306411, 752564054, 592813765, 682880793, 9203063, 18208436, 642350171, 740441410, 743891768, 1058608928, 556218884, 867383226, 718790866, 759253257, 449812148, 601486549, 184511435, 442177150, 255725265, 550044256, 122049227, 373180430, 289039201, 107287837, 689337754, 182155787, 550364999, 975662516, 398638003, 13321128, 198707766, 852163582, 712572414, 89839185, 324478655, 547971042, 812812033, 1070853452, 562292931, 128586934, 869505569, 688460780, 678404811, 538409558, 448890934, 535384434, 43377595, 46136795, 732258897, 997648913, 608999755, 720149239, 707894175, 123259437, 375316057, 621844234, 697131625, 235144, 348597617, 267219555, 407399237, 586257017, 423996694, 351994104, 291476612, 354030242, 741676367, 247792653, 796745105, 1058340614, 762473771, 113043051, 3181074, 841434651, 898039245, 694017890, 169611135, 725303829, 266677936, 883711719, 89387952, 886989276, 510381622, 57817588, 707008508, 653430716, 228055076, 437265491, 507569993, 712022255, 530558783, 256608811, 7254525, 38587743, 829400486, 117678293, 220062193, 981289335, 261298545, 898959248, 913374670, 845318870, 90396523, 702855318, 54644043, 1025578121, 344320054, 585278117, 438453606, 1027327885, 422282672, 661208570, 748296202, 1007433834, 907110111, 84689620, 1069872574, 228628337, 199169278, 934886259, 66097849, 158937991, 73099971, 246042702, 440663123, 761823909, 484141686, 943025453, 69183999, 511015600, 550540273, 630488184, 793038702, 412523827, 851890039, 920434958, 1050331965, 410262834, 1070908095, 876209956, 478223445, 271902936, 902441817, 816993242, 12508510, 916680791, 818703205, 916374537, 36216718, 667834977, 303920785, 306214364, 1034800321, 676748434, 1000713291, 614073848, 552459115, 888743033, 949407272, 165093792, 245149929, 685445017, 463384199, 866071346, 734665561, 592845742, 462127132, 1024105680, 424631455, 580053530, 117483550, 552878154, 685025203, 767877058, 368135054, 557453059, 20337084, 99212877, 172894929, 592634687, 711510516, 341833345, 153780819, 808506213, 996042119, 911983410, 291046561, 117644879, 414661440, 904425082, 1020192738, 36588872, 912086105, 321098861, 1045176099, 424710270, 812625241, 605372881, 47816537, 59392987, 609437733, 48020584, 534100809, 722916713, 989487156, 683178846, 783122278, 379936234, 380979989, 22150746, 788512804, 116378746, 776159575, 592146960, 808955724, 1072664525, 770135821, 361699230, 585627225, 583179788, 707994158, 589073116, 874009053, 418703596, 1028183000, 978688497, 167155268, 363609915, 915098236, 830083388, 692467469, 919084034, 1024853277, 184291036, 175669688, 52689217, 467800048, 953068735, 521210362, 588384449, 1034036750, 776611763, 745144087, 19450257, 506709352, 501141640, 967386812, 126793967, 936369784, 594721285, 873980911, 839424628, 397975643, 517820627, 486851062, 308386456, 778288060, 296678150, 878537732, 821703754, 394280339, 777577449, 224404282, 518077099, 972367623, 332793710, 883454110, 1037261931, 858539874, 481307767, 311706079, 662444953, 999736541, 1038349097, 381305775, 999314386, 988288671, 988061722, 4048007, 198011094, 40051789, 112982652, 240696942, 243839191, 121108332, 1028794330, 223259436, 586197664, 56994704, 1043486928, 1044954146, 992023136, 259299579, 1012428367, 468091514, 237138056, 25429009, 433247028, 422880910, 300515304, 222829216, 555356487, 583286982, 886086271, 29681161, 690480482, 1039196251, 135891613, 555183227, 173999117, 175425943, 925993391, 605843563, 774649358, 84260601, 106215107, 765220779, 644655101, 847511491, 542796408, 849038625, 230327674, 143684649, 302387487, 760852783, 637786539, 755758807, 867627620, 458797515, 1012872345, 234847632, 230026826, 678470969, 1048337694, 1001442777, 894668841, 1018500000, 156971138, 984898372, 262986967, 259712155, 52187538, 675535751, 22249891, 513412012, 312578422, 755905529, 323473287, 765140856, 580894351, 895997563, 212192484, 917343169, 199390137, 482376877, 724906899, 131495162, 1017456999, 21607769, 617332242, 112308464, 263835840, 2533703, 868146837, 446865330, 852525968, 453634414, 708190256, 206652742, 355087018, 281937219, 1026676023, 407748026, 42684515, 147383306, 725963177, 987987763, 198784029, 254364934, 4989933, 530488900, 1018668336, 1023391405, 846603268, 848600464, 363497091, 75350792, 491303072, 407640324, 360671853, 659591515, 548643559, 326324192, 340789917, 800441103, 552185087, 512993972, 204006010, 669140945, 550413215, 710155393, 844118915, 969192379, 387172422, 470471480, 435786644, 293616132, 697286226, 1002923071, 455976564, 634375323, 283197257, 511149448, 610546346, 557765094, 988133778, 1006220035, 1069853172, 225063465, 276372535, 406593177, 647660464, 891445619, 488515754, 902874337, 892524048, 146824159, 72563784, 593458126, 841251922, 522507150, 788815748, 701776169, 656872284, 192441614, 366911582, 997732832, 169015629, 305216198, 665303207, 941407192, 992019388, 285748385, 536598242, 1052927551, 1045726459, 85926187, 729319982, 594770786, 566473454, 53635476, 584642046, 67961345, 30687647, 6697876, 480616014, 760579423, 322005987, 721986022, 552164914, 441693013, 542910147, 842268896, 664295597, 603541056, 293632665, 847679553, 911839187, 979696786, 181724825, 375477085, 166463325, 484233346, 692411369, 694766874, 986285851, 524034298, 417759842, 844612705, 821275309, 330907774, 243588909, 992385928, 527431474, 350386912, 326574887, 526818826, 770875481, 759071535, 474723087, 532640368, 47603048, 1018279659, 216622431, 261945161, 863552659, 193240785, 827872682, 33424180, 910506294, 393448541, 165168949, 1012773371, 759787146, 489685229, 1059980414, 635795208, 916205850, 966742502, 1062193836, 93128514, 733401276, 100772610, 590326008, 1015045963, 1019491201, 417122269, 545738060, 698310293, 1046059234, 948291495, 53327444, 379754418, 272376481, 568448077, 512080311, 365504122, 996067649, 734550529, 603483627, 1026965772, 962006612, 998023336, 1057776114, 474891748, 259352787, 406911878, 885267647, 986699923, 935461130, 968431214, 749449766, 616379099, 13941018, 706063606, 476394565, 126317481, 728431492, 915903593, 186567413, 185711720, 543578308, 898602753, 1066332948, 745272825, 81091051, 766729963, 906067376, 280917383, 660771063, 920560104, 494751836, 529057841, 582713331, 532693771, 272946366, 862743560, 784395718, 69063920, 645344016, 339899845, 648931455, 567689925, 241508490, 258453180, 1056769355, 301853757, 658447706, 497585948, 345358410, 958101411, 1006806519, 838231154, 448951928, 1039760883, 355495399, 993436958, 74984255, 1049753571, 578124121, 83043910, 447536832, 988589480, 233637175, 610883587, 607583918, 705614776, 358009966, 333463258, 459196073, 831702016, 1037799652, 124603172, 931496727, 949060147, 730079385, 510065957, 943926447, 729134480, 42831437, 66731574, 648638898, 851152947, 300893058, 676769346, 1044429929, 569465205, 433582937, 897953393, 957405613, 373671727, 408723206, 959064098, 637796990, 665821736, 832121083, 308400524, 738570345, 543309533, 223446645, 779221513, 324298010, 473152718, 528513112, 922512895, 9123280, 696296628, 547582973, 19327910, 689035256, 774053693, 49347263, 378124021, 949170579, 671210239, 929885019, 1028496190, 1020690695, 1015301808, 890465767, 864759691, 707600723, 792307324, 721471759, 915933394, 357508586, 595535723, 467312713, 167211393, 752681157, 150390085, 956488254, 1035953867, 27679779, 159902437, 198736341, 642250097, 454196652, 1005283141, 969826559, 368406066, 332674785, 869984828, 427950680, 439509775, 865973229, 222689448, 604175775, 531824549, 438356072, 866937774, 562773099, 942707793, 932805353, 819200310, 122648320, 740780242, 551933863, 90821520, 761825568, 678242498, 868465203, 653952759, 473300576, 816640491, 263704763, 280666068, 344753385, 839970314, 144781088, 162149527, 306885986, 735836727, 440029030, 417864766, 550241021, 53391565, 536363264, 717630704, 357140531, 334904231, 851536238, 456285283, 179154393, 970985753, 807579821, 510033117, 1058338832, 711136492, 67812732, 609009927, 929912313, 830992297, 318941318, 184829997, 331133291, 1019059644, 611441049, 168354959, 831558525, 243328403, 990962948, 447780118, 118831323, 69399922, 494368907, 545435189, 417955745, 498991017, 329124562, 780572772, 1067587309, 657358511, 1028831393, 403075930, 516287033, 482750832, 280518908, 514285460, 993692066, 864888415, 752177559, 806861303, 411167809, 892881206, 42316469, 167504008, 473917559, 617655699, 987711501, 1013029234, 707024133, 166436831, 1054640391, 532426870, 1050008522, 238650065, 360627531, 1059241140, 603265820, 995267168, 638822438, 276732183, 813895489, 580983741, 103101145, 853097485, 128437888, 631241661, 88294010, 707875142, 952714507, 877779496, 106237284, 62007429, 666544040, 965001793, 359938484, 180730494, 943965241, 847744058, 829312627, 301639506, 296817996, 590856799, 207875533, 550387219, 966562734, 934628966, 34051470, 50317341, 324172024, 318981031, 566210986, 409666536, 540917911, 703204529, 369865443, 150519437, 797225819, 926657287, 907770105, 44779178, 97365393, 8866837, 840528302, 293133368, 733024937, 1020819454, 1034405904, 448283889, 447682059, 125377204, 800901686, 885145658, 838125615, 118579351, 700755259, 496682164, 580453, 791577718, 646090498, 218534277, 163034904, 720718380, 88052465, 711132009, 462208276, 84055376, 368148476, 998885833, 285344644, 903824975, 139587562, 1048523751, 35490116, 116727296, 400175811, 881918234, 891626536, 85111389, 181245370, 1047555258, 23295636, 48392610, 821496295, 752717923, 818932136, 371313784, 23334918, 45767376, 1003147218, 426756205, 487746193, 49001891, 545903264, 68926696, 497937594, 502884461, 564668914, 226605103, 327995261, 492421816, 334717991, 495264503, 910832848, 27052034, 353924316, 60709436, 736246472, 971301493, 394614071, 1047435894, 769635944, 675635894, 984164202, 57450402, 660887269, 722508952, 769309860, 84016111, 943236028, 727951598, 890033883, 100862652, 52590896, 120074578, 795775220, 932313389, 618004604, 915146891, 393788276, 699920613, 280090332, 1050568033, 89888142, 971408955, 498499122, 871354602, 1057659758, 440142743, 306280236, 128757890, 772103342, 693134148, 236811944, 1059587246, 1006537082, 778238712, 831040654, 835806742, 653107049, 214783052, 1000216606, 759984814, 156175291, 1022358276, 649442928, 753844984, 463822547, 169079072, 132623531, 558743809, 618413773, 646253470, 44274982, 555213605, 154359763, 919395237, 490828982, 154442509, 995162576, 701007745, 590503664, 682780928, 484167646, 945265330, 801828347, 237870279, 80808334, 602447741, 483733319, 384650944, 252729224, 719812155, 624438015, 148357534, 321042950, 656823907, 608697343, 623354708, 939748406, 646990503, 339407470, 981363112, 59659617, 906908310, 422366934, 150735545, 388255622, 205017706, 908505867, 359804032, 1010696569, 444314172, 407720229, 286802912, 973359390, 977827341, 429967819, 884694623, 550391643, 1061307880, 506811989, 313593637, 83692914, 689672600, 926802776, 67505236, 54544099, 916277610, 857378804, 415867168, 859779331, 779964326, 1025801677, 197736818, 457968239, 1017655775, 969052038, 353832378, 607479423, 689524216, 185317237, 155002823, 958892827, 622022429, 101389451, 913607216, 874005348, 270689661, 308793110, 834140087, 280006305, 610598953, 906155090, 391465266, 240351461, 473362567, 352948842, 704040621, 886468976, 160974493, 684905483, 171012898, 894229981, 383290402, 508995654, 992202572, 851319041, 586642994, 17892956, 188073186, 273574263, 846302357, 768933216, 116996359, 48274002, 700468137, 318732715, 640235391, 116406541, 327990168, 780237359, 429416489, 997571651, 564477932, 809887285, 727100932, 929741230, 930463249, 552467655, 563312366, 733149386, 825718703, 1047394767, 982071971, 913505875, 553930515, 1065638069, 923900641, 208452867, 1008801213, 107869544, 342852496, 163331575, 679241991, 742248146, 924282370, 894725452, 937135231, 1020215902, 771463516, 900829327, 665585333, 1051225198, 1060923754, 927592203, 837206623, 158482708, 104135071, 20425368, 277688617, 536949432, 270452247, 198837757, 651822490, 629937505, 931990829, 1016630273, 260884771, 1026717054, 692456932, 972787549, 431518162, 148242897, 456635712, 931430731, 386466227, 896150027, 334424266, 119581624, 214570421, 1027027419, 278305913, 441950277, 491078038, 30522592, 637757941, 517295882, 574060517, 788630489, 305460591, 375651698, 438020636, 630094228, 1002866426, 840416958, 341550763, 917994246, 437833988, 829353722, 945231019, 238379315, 395907782, 169216101, 879461392, 113583347, 1032195837, 61849018, 21026418, 358738592, 845346741, 708834600, 508326941, 222108425, 170575353, 646899434, 543012383, 10389995, 811175963, 415289354, 173009755, 365224339, 852810342, 995044964, 15953549, 45570632, 1065437267, 728728154, 131716541, 399218857, 224178318, 1073481421, 968942073, 663623201, 272140050, 263564221, 815030754, 748639524, 981963041, 734334422, 870056177, 940018764, 712565222, 924942980, 174825234, 296206018, 79207801, 714325379, 713174786, 210881637, 221087676, 497599547, 901809120, 186008802, 696604219, 399332526, 221086395, 35367957, 509443416, 270268718, 94957067, 788920636, 782103070, 32149431, 646710011, 844932197, 740761434, 956861, 208798895, 997843979, 914966165, 904168689, 268225042, 638496470, 965813451, 58308784, 798426051, 469152584, 76307838, 385780782, 94048846, 672672776, 656841545, 333008279, 219206330, 453527443, 221494410, 852579887, 981385662, 621243152, 816601176, 700854451, 21375975, 466394035, 682266896, 149084140, 97471876, 83789500, 399457992, 166569640, 920820405, 605657654, 1069443034, 72350902, 972530109, 926347765, 546740081, 395327234, 131570373, 410622801, 429041236, 330751620, 752847142, 580396815, 240075418, 80012282, 585861730, 505278264, 394622023, 524748146, 441945996, 930041497, 975107968, 870148316, 531569373, 397677416, 298304924, 907608350, 263176491, 502081482, 389288878, 732495707, 716086819, 636136245, 90659050, 346279784, 758547774, 256441526, 588802500, 872845371, 198714896, 833008444, 272838114, 263165307, 436835810, 548313776, 487565644, 998853757, 168765585, 711064073, 691382910, 974454251, 660020163, 867564477, 389129126, 495948619, 580953583, 193468957, 634289094, 941397686, 108537339, 300005864, 923117044, 735421281, 819607811, 864477180, 260888499, 897981665, 966910378, 1000444693, 298530745, 143982702, 683148609, 513190452, 383645405, 868305055, 499295011, 214582052, 235480628, 973442838, 133886507, 879820958, 108462832, 839859282, 1007359644, 463655932, 124767267, 867831977, 139281173, 10339352, 309255847, 492332873, 1071718183, 381555195, 407350028, 1036345325, 254998515, 700892656, 421998831, 482810088, 937810108, 44923649, 335649097, 506955556, 594079084, 920192413, 226856813, 133281060, 819155885, 945588933, 769431589, 573062103, 990334495, 543432513, 490285655, 560128621, 776412578, 494561534, 226735316, 44233357, 61535094, 681503064, 136158881, 559540305, 766043467, 716249932, 507028547, 602191904, 970897125, 224958066, 996452712, 1030718813, 1068143470, 766170791, 403475051, 428684741, 582209795, 422812919, 762569927, 509672178, 900764928, 594540592, 140560822, 798391360, 802095053, 993375898, 171429799, 236198109, 754228214, 127438152, 1049684638, 631274876, 144932578, 170903415, 240673277, 866539452, 864959532, 121428759, 933167083, 504673528, 525896654, 527637140, 473649833, 504394655, 160486644, 915665229, 757469568, 558776007, 268812695, 514911288, 67789159, 402638248, 224166068, 234144621, 89831851, 757575936, 36965014, 458139953, 541011036, 682215651, 324707185, 214274598, 479677792, 468594354, 686837205, 476235359, 11661923, 337943600, 485680615, 203498213, 123674538, 956304245, 982004086, 284699148, 224216804, 194459819, 758090691, 463555094, 385608287, 481267359, 228598644, 898981219, 724503634, 290819209, 348793503, 510851154, 499937302, 153066950, 167686948, 828392617, 30832137, 818025884, 814472544, 26574284, 611001777, 975160970, 1997196, 246505295, 957845886, 1008132998, 1025892185, 324338427, 337320652, 92181119, 802599499, 392653906, 536268756, 6170127, 6004133, 1013125424, 877913769, 919883349, 65065564, 461580876, 230962765, 1027819636, 46557282, 760202085, 811581211, 865989198, 1044447963, 805660374, 134210911, 1063836405, 426923342, 470622833, 512824112, 1067313440, 882929228, 822456832, 216122935, 32185009, 1053378715, 571454731, 1031241731, 46982234, 96493249, 339999968, 523571540, 709645119, 357115344, 1029878552, 559221361, 1009132764, 944934526, 992176895, 323605364, 949483343, 10135735, 507407149, 584880394, 682416633, 713464355, 1021538202, 523486318, 844047545, 761534611, 924323778, 674204894, 924337060, 1053421095, 803785714, 60580197, 1013214582, 923726500, 151483505, 436165609, 202874387, 441948837, 861292905, 140871311, 963672836, 60559907, 690825606, 28778477, 478291643, 442446491, 977013060, 724633413, 566366410, 732941465, 848411347, 661029581, 567870917, 675564762, 624667334, 1007947755, 453154584, 278670772, 574900523, 305684983, 448578636, 501095222, 234022375, 623450935, 57459334, 1061979716, 699582414, 78587394, 787635756, 800155998, 163431183, 340422910, 611369634, 381875673, 118405140, 901454815, 220532469, 1057074625, 288532076, 525223482, 650804422, 903766407, 688372758, 739862616, 942555581, 29113050, 526395473, 343613027, 676359599, 846022169, 8831365, 353721137, 54043550, 703243774, 246710929, 559757407, 12072252, 501251122, 1032904214, 1064719057, 883005423, 463982708, 860910487, 283590344, 823518126, 113326012, 492828276, 792595328, 563169753, 1043663170, 1031765563, 359183865, 273684636, 1019716676, 846371216, 40748905, 806976629, 942450775, 762626537, 962134960, 948587307, 529573130, 158218935, 102850010, 65426392, 551582503, 855035696, 1064586223, 750703174, 721190530, 143904176, 1000148991, 1019657803, 558783138, 117546093, 672009298, 462097299, 419061809, 385011395, 178488722, 943345068, 249834995, 685612039, 775674535, 6733903, 168389099, 895340812, 1066301111, 625463053, 460226434, 551020350, 34904124, 257803787, 296097064, 931649406, 678876338, 256931448, 207716159, 271590695, 1016190644, 129220035, 835153520, 336786625, 138687849, 157399106, 583092398, 47954991, 178368777, 1052594284, 385282651, 461386074, 62938385, 154940428, 456473136, 53535455, 66619209, 809182850, 397086570, 586681341, 360351713, 715654610, 774733123, 221920006, 1044534095, 953924804, 999414837, 130730963, 609045222, 299926611, 439366018, 616818697, 633919122, 478603425, 489200559, 776908665, 1062274464, 941171479, 978907616, 135237969, 352548900, 433892128, 365072302, 655429126, 130740492, 69887235, 309667852, 670409464, 312992265, 394694124, 167656568, 551304489, 896184990, 719037826, 409775850, 868383202, 471744610, 375286157, 51418991, 1045711690, 63966247, 924924201, 843851669, 578489414, 851125933, 683067517, 123482511, 64017661, 172106888, 159205073, 797804650, 1029214617, 323235493, 106131147, 570392199, 271543959, 365696474, 554246406, 712651496, 293038436, 677416389, 194314615, 27577846, 471427757, 997251430, 194846316, 858948732, 96058925, 6693716, 840348983, 184085926, 102045072, 338665818, 818216651, 243556522, 644904578, 869234422, 946515966, 426970060, 624880197, 656633992, 247094661, 211229571, 76097176, 269509513, 117819299, 505576510, 478563773, 190361431, 705315250, 1043216456, 461063326, 181576415, 537103360, 517204880, 971718708, 1035253293, 343415801, 74186073, 536445156, 953679480, 202711358, 555484407, 372221500, 596550324, 706973137, 500866944, 122051498, 349404150, 543234654, 272893311, 319293714, 64892823, 423130548, 722266823, 324911214, 781381069, 294320709, 630049175, 906425959, 889167237, 394945516, 990035539, 1054226457, 310603517, 764670637, 966798027, 754495317, 313099231, 25405845, 639827967, 395830947, 983231855, 651978394, 239628773, 684455615, 907537907, 513958558, 171781111, 351549840, 40412202, 720718901, 1048439926, 706318969, 434817242, 633891068, 761243115, 1030764936, 663783416, 952050362, 466121970, 158413498, 1043186479, 805968782, 380438589, 994064570, 233124674, 661053693, 922577287, 896271039, 865988730, 781184960, 111547780, 438726446, 491008403, 348289358, 610578509, 773689293, 790674222, 73110460, 54825046, 898282317, 115517333, 470468772, 76565695, 969282818, 195260378, 655634330, 694602910, 749120941, 139002549, 419645693, 803349019, 797903313, 148486578, 59532788, 325461946, 442717884, 736698865, 83295224, 353435743, 545688353, 633153478, 767343136, 51315176, 438235309, 1068427217, 814302764, 104758153, 318747779, 417876069, 143359151, 133849628, 1052012576, 1060671630, 830903132, 675951832, 1021470162, 551104028, 748335343, 228441533, 137663886, 1007342745, 68616965, 845728585, 66174446, 981163529, 918603652, 866635734, 164017321, 1043479959, 960584146, 723186871, 82774632, 406983990, 25022203, 71787015, 599192618, 337592544, 627957239, 243887941, 920579881, 555717276, 714692730, 907679268, 292661128, 1053342861, 108019688, 335905446, 860931862, 1025819260, 559811082, 94682212, 749345343, 99162272, 911761421, 920657865, 362692829, 217568418, 487021030, 533030148, 543277154, 213016400, 825380575, 846710567, 666988166, 974287841, 506925131, 129863638, 348744014, 706333048, 717178409, 368685844, 223714931, 336798731, 722010829, 77417933, 500674701, 472739807, 92180946, 333399298, 447720480, 548155859, 570847303, 345551339, 272494653, 706121841, 300511679, 479144579, 929651572, 928712879, 585709358, 663893503, 175101092, 434706855, 996905937, 309287698, 277988867, 781954567, 900500090, 545668459, 239811497, 446007591, 103848109, 571081347, 1033020555, 1052479822, 903098418, 693833746, 526331466, 284548660, 898979869, 104697585, 184087842, 855366630, 448516059, 83283898, 267751089, 319906931, 466419970, 924297871, 377026397, 257140582, 514789737, 89901028, 348745679, 598328884, 682265463, 500016365, 661938595, 967584922, 1001274065, 688889407, 162270939, 121873367, 391299982, 879422023, 156380318, 665886557, 702099469, 636513573, 301391159, 1020850938, 168165798, 541434123, 156967786, 178313666, 258824053, 338908585, 960471503, 919082242, 73572870, 348269087, 115475204, 1023707991, 120554815, 517163422, 494180992, 885370582, 394708139, 159731956, 628814181, 799524720, 630960104, 447083537, 279914055, 98330644, 508106670, 278392263, 551724311, 1030587034, 244605265, 1060898824, 960299257, 450871000, 753072055, 1023037155, 300469370, 410652620, 108784566, 750386794, 296937961, 766029418, 631872159, 696289350, 1049517727, 207612974, 294710247, 526818795, 226848187, 228849806, 467308227, 262662091, 639990505, 1050991546, 876821316, 327917949, 511956912, 255377796, 142871378, 837210337, 494382339, 826584438, 140150292, 850602247, 399280120, 723861714, 926662927, 457515227, 5837883, 484228376, 938428348, 830312650, 336176653, 760381332, 635826204, 714895646, 227606239, 745123376, 687890253, 1028259348, 257969061, 665635865, 930611352, 41246917, 450164382, 675257087, 906195887, 35632334, 243079927, 553610141, 760988642, 843510528, 185316516, 13239903, 563576465, 867281405, 185255061, 353383168, 1426602, 23289077, 359989920, 123445143, 22964912, 204897438, 537927813, 128470463, 547594260, 609571334, 557154345, 115268077, 568078866, 203188725, 128971002, 1018936794, 236310739, 774476449, 832624695, 436616565, 617204574, 514465929, 45941753, 388189108, 420539694, 914328956, 816971438, 594527695, 100784340, 705229917, 457432265, 658236442, 506553736, 679088854, 349873759, 752125762, 653696307, 295520874, 110981298, 687066438, 931446826, 94244005, 229769592, 615053533, 394130371, 274441855, 314735644, 462418597, 783521293, 121094397, 357536665, 577502313, 424606383, 591033065, 175527833, 455865579, 574889919, 834431008, 997567498, 372279464, 1051850131, 128521007, 715977480, 120154250, 39978814, 268690672, 517737734, 277423800, 253467173, 90128141, 1047693510, 493133444, 653365401, 183622545, 970054610, 211865087, 622850791, 794827654, 251896683, 338618631, 746021399, 580290995, 298902903, 556322264, 323657097, 773906444, 113746321, 982583176, 1014282099, 486572002, 561511822, 549345677, 167394040, 99525697, 1030748097, 462404090, 1061000133, 629244235, 600147881, 921585912, 43658970, 236984956, 1022183051, 195066087, 582368524, 361516805, 461253359, 206798112, 115872176, 932797826, 924923084, 56687942, 66276640, 999401858, 1034052861, 544190306, 377872516, 38922997, 508234703, 201665194, 114938179, 1070723697, 72917543, 874326807, 611846713, 347863986, 679636276, 618269810, 522515099, 277686198, 258982930, 472288282, 88434491, 774562778, 168462919, 455265218, 990956370, 565691978, 1038537797, 96164467, 251351237, 223591776, 974577651, 173422974, 783488275, 461447398, 1057380275, 892072645, 573867813, 696437103, 952727859, 304194286, 480092073, 341553924, 364302390, 577495569, 1046224453, 433747058, 34241144, 732239054, 979990566, 921100196, 856897641, 819803037, 712963245, 98143699, 219050555, 818013504, 274465450, 917234210, 711491292, 684694711, 847176152, 537103570, 778477728, 1059839611, 408485870, 241271679, 1003743174, 1018209493, 620415613, 216702825, 120196152, 190752426, 413446391, 101458839, 158288763, 596882140, 116011957, 383771705, 1006428709, 720078147, 861656426, 345060706, 1003078088, 686027774, 123495148, 816391215, 237081932, 461581443, 895039798, 542930061, 784400242, 598379553, 346483089, 988201418, 461319833, 862830475, 171496119, 1016540542, 101067542, 865909618, 73525936, 685601648, 580808256, 50799891, 1004098884, 202345879, 663271888, 402871730, 714303264, 581584563, 459333690, 47987605, 145190320, 701477330, 68235831, 643462709, 1034314088, 897322771, 127046732, 1019543938, 996958021, 355681107, 137761180, 589902287, 1038651772, 125388815, 570930930, 263957730, 990792049, 355966608, 454582862, 349545827, 773544537, 235751489, 101291977, 93698403, 750125044, 437050147, 658932863, 107504107, 855171868, 736237572, 377884848, 520385782, 859654065, 476163630, 650860389, 962822623, 387747365, 760482246, 454385298, 583675296, 777949440, 769414526, 1022939728, 879842102, 58209479, 70206636, 154540923, 864045167, 420768599, 272359149, 904328632, 25302931, 235524919, 773155862, 8278442, 761978227, 682305561, 537010552, 901526368, 833638902, 628430774, 40930079, 360966615, 840639730, 647140631, 57784720, 236162473, 276474568, 754806762, 552336319, 775480630, 494683056, 496628810, 908518534, 25670183, 7475543, 683457980, 247920275, 348914647, 111649281, 452155635, 816218352, 819635895, 284737422, 582083035, 423372769, 827357076, 608392140, 940656537, 17833835, 705585683, 935652788, 1039655960, 218174311, 301091411, 1030601384, 566635803, 425775737, 980527477, 476320051, 784769302, 556295325, 404422282, 776906827, 729505229, 950655597, 856360729, 573361613, 836410482, 1043558595, 159262781, 876614235, 344853972, 203160156, 635069137, 1043232724, 201116156, 1004280003, 950892320, 1015782141, 833149866, 169420338, 674345858, 205329149, 375817647, 364771982, 877177741, 504281523, 181815607, 387041538, 42717624, 133894588, 221768972, 310804673, 585795115, 714155857, 658313397, 223842064, 118791217, 1054323041, 675981855, 762628405, 578400277, 638800740, 783920175, 591620377, 393262748, 429017269, 305908529, 855671375, 144943733, 36559160, 608374358, 329179355, 662242160, 620104641, 376467099, 73771523, 465301876, 66963786, 589696275, 823491228, 59331000, 212281485, 971628964, 907329660, 813770376, 275939163, 898801754, 140366616, 374902920, 553189375, 235270466, 957691495, 294972971, 376658555, 990244899, 640925119, 224784784, 911697772, 200070688, 1069057073, 670168483, 826480593, 558022925, 93402968, 859953247, 148683728, 901533852, 107664138, 595294485, 495768712, 929612692, 241959270, 905828744, 403430337, 547243026, 685325577, 816120437, 283750689, 886198610, 856294560, 320232355, 45157259, 929157573, 748490592, 590018216, 731361279, 738060192, 232813496, 77479188, 688552254, 1051734626, 621630063, 202872310, 851513805, 239946206, 72397855, 1053988085, 807873097, 601869677, 957658387, 789916412, 449024447, 576365417, 1027091423, 504323272, 1043054827, 510751243, 562051449, 862963536, 681529260, 352160610, 1017714273, 1001641443, 362308837, 810768797, 581222289, 639677685, 179468449, 600897300, 657675591, 198822502, 83392871, 654293839, 43416221, 723975801, 1002300151, 315485694, 627967373, 640197020, 590102591, 95517928, 848348097, 249925540, 337740314, 14971471, 604354355, 1035072129, 641441400, 827927668, 374941175, 1039415092, 629141269, 255071865, 978715443, 212526852, 224003026, 697418704, 188187187, 348504624, 940070063, 1052557643, 3189182, 810586203, 87339603, 842481790, 779528301, 1011455270, 714964936, 756548729, 1010457598, 480473256, 50702119, 722134893, 684559458, 172045374, 616284445, 628705766, 827177185, 161874389, 212106243, 995602389, 941989552, 266029058, 435998898, 221222365, 836570517, 469689008, 312253889, 772670711, 302184776, 752385909, 143521964, 131381541, 482887663, 367984517, 831968665, 854984220, 976388541, 328992369, 15966267, 688851541, 216049880, 1063826258, 984470017, 719591375, 479489588, 818283362, 787353460, 133562069, 46308448, 1020325503, 354723561, 905315056, 756222694, 840951689, 631702495, 721283956, 687172217, 237609209, 148410851, 217314705, 844065832, 753662168, 473504003, 205877393, 734864976, 510211466, 616185997, 707056762, 699310764, 1035869234, 1048097751, 912655625, 900111026, 563128415, 485190865, 742491468, 317731191, 365529632, 169372968, 706216944, 222062531, 762357318, 330675151, 517327004, 808165203, 875872255, 75104481, 228219207, 445810660, 607418224, 354312762, 540959809, 869152327, 722324521, 948370487, 1053117781, 874819097, 485312288, 995313108, 84850004, 831032344, 334962214, 443383763, 463865433, 768270008, 901606509, 797494978, 414858176, 891346551, 172256255, 954798837, 911062386, 362313417, 355801013, 729522887, 513971576, 966271255, 960801527, 487108862, 633111828, 651788723, 582276935, 404041743, 1006617027, 1065018882, 896814927, 335835719, 371093056, 46491985, 602452404, 486501009, 86960841, 434636551, 955345678, 570619643, 194733819, 314638572, 174978893, 383360405, 781930213, 622321993, 739540147, 170946953, 647285205, 272020509, 899679431, 270429109, 837236855, 540641598, 699779435, 145773061, 232094452, 90196897, 961787932, 690350117, 914400521, 394820583, 595773827, 514198479, 677374798, 753578784, 307492825, 61731233, 304251668, 1003736252, 212586285, 806567824, 696404742, 185077695, 336476052, 389248089, 298468674, 839449092, 1000703242, 973012605, 995396761, 1024038204, 895358385, 480924073, 424754286, 669077162, 925883340, 907729994, 264028974, 723885600, 1047900522, 233668356, 932103686, 809370025, 423218270, 1040774311, 741456429, 152690494, 710400785, 1050379982, 39306614, 631347377, 1049195239, 1038913680, 683564226, 572375987, 216994852, 232231999, 600450223, 719501240, 908078401, 745174032, 472657243, 183980472, 555673763, 474883582, 1004517943, 778002383, 889277018, 237437828, 183432737, 876151899, 618920621, 525501392, 567881894, 170439799, 645086030, 685880157, 425858354, 654517454, 337333934, 479417191, 290337, 926021559, 139257993, 610622294, 327309261, 953764701, 20898925, 984243659, 686257462, 481306521, 365910251, 357143019, 468299371, 255622079, 271380438, 359692599, 372801789, 613695773, 673213851, 605101098, 878915839, 275151503, 1270107, 106072533, 1008238461, 355973722, 124113447, 625908377, 1005755526, 741781853, 538434735, 614810734, 569089108, 670951241, 931482777, 861386651, 961139280, 244946163, 370373436, 724223858, 873817546, 844330669, 407532825, 461741086, 603436224, 13456130, 497224172, 150809758, 791030415, 818352039, 830506705, 378418188, 799429969, 746680901, 872255345, 913757481, 433702451, 492395973, 871919622, 1000077895, 436024417, 584209781, 738818336, 400421372, 401880138, 872913875, 893927323, 847293524, 383124354, 409032695, 1031015801, 401402159, 336922967, 1069186327, 301729844, 411177673, 177810221, 872591660, 576692268, 888434707, 426717447, 325523966, 1014950359, 626859405, 788559267, 262677514, 613233878, 912583858, 317919115, 850161618, 798440405, 794138423, 410665153, 830455517, 795957252, 933637445, 790929542, 510978339, 336150161, 963708375, 594122274, 886759406, 915563272, 107805782, 972374144, 249032763, 472708511, 484694200, 462108364, 649640516, 130202898, 484106960, 68674613, 231279113, 303261665, 93421184, 83858230, 707134415, 164149547, 338500947, 413777153, 417101829, 806176589, 696538505, 64990784, 321327479, 617804856, 525662794, 367904752, 479317400, 227238977, 109154142, 163471371, 1006989071, 1016365249, 741554342, 278125275, 845069918, 81612885, 855418454, 884960548, 395914534, 410413176, 252212047, 207641998, 47245246, 100441693, 735034239, 1058278076, 978094766, 1002804111, 772795627, 254322909, 210921543, 268557438, 832070634, 62164306, 660508574, 775351594, 649774735, 821603528, 408079726, 557567021, 403830607, 557076050, 521402419, 683637790, 787351322, 508574636, 959113841, 200826571, 915359223, 372706109, 458945436, 559865542, 336856675, 941776428, 674044952, 903456285, 449437284, 1016319336, 602671678, 859332293, 751328350, 1038696909, 660485232, 381584015, 174790293, 708781331, 886289952, 301786481, 901600017, 392212693, 469517542, 185929817, 773484533, 1002977488, 950866730, 965593448, 925255446, 251446250, 886254807, 484735813, 382932523, 453232660, 1058425823, 607618908, 625882380, 211081975, 1056617023, 389709044, 947435964, 739278220, 654984191, 190310563, 466703694, 618643048, 608822432, 657596490, 276453564, 348723183, 703933248, 809608670, 512330997, 697419498, 654959070, 84269624, 652633125, 902072106, 694718826, 597071785, 368070317, 283839353, 144479444, 333922930, 960437216, 770850258, 994388291, 874879893, 1024329380, 763718243, 1064392393, 3095107, 119943470, 438468416, 150423828, 988568105, 438247398, 556749682, 894972322, 77205170, 604204211, 858573861, 870774261, 995994144, 764609696, 945582292, 1011906922, 868698355, 526530843, 680420580, 152785143, 862243799, 1005373178, 306728785, 382326697, 227489008, 567854283, 351518094, 969717403, 430208643, 998877682, 673203645, 208032736, 954035272, 131718334, 171980567, 636752374, 693653942, 222184812, 216954483, 75996744, 1016184830, 991525285, 84040039, 199854268, 595602608, 583750004, 722794344, 700489629, 493466626, 849220721, 503530615, 332188028, 1013013779, 878860945, 16186360, 810586488, 887561554, 280899537, 1024358444, 478678403, 131604633, 321066523, 793860163, 210783467, 199336718, 30604825, 887374896, 864067621, 671795167, 76672589, 685894809, 989227174, 743439629, 156218651, 1040863732, 1000628138, 503204428, 974824730, 27174881, 921591464, 287198146, 818506386, 842607826, 168340299, 112601004, 714368961, 4062910, 234854889, 515729598, 185223506, 599872320, 384584500, 806530641, 882641513, 591353747, 472421848, 1024564447, 106992428, 115644982, 855221797, 280150324, 244908801, 386094736, 93077541, 970236757, 466038349, 369770622, 1032525621, 1002974911, 479022862, 25551527, 262381609, 808346475, 605631489, 1006101957, 694374221, 567386226, 584249119, 270820791, 710490022, 1045270760, 640951817, 67539879, 840194606, 838132585, 502290831, 486783843, 129953444, 960361680, 518036375, 947050598, 105981072, 703267553, 1055588576, 388722403, 78199659, 411564509, 574315580, 159373069, 701961234, 167332331, 219574880, 933390410, 785148532, 321731081, 389206430, 944784608, 349889329, 844727714, 524835079, 715629223, 464641463, 569557648, 519871781, 321299276, 918569216, 989279916, 628027756, 923206517, 18748208, 484774446, 947576855, 754324331, 288770648, 53374977, 672975981, 915396276, 416446803, 899991571, 780273267, 956095495, 247896746, 276678993, 274760102, 322900086, 403701291, 737331915, 300883944, 265255959, 131807419, 1067149032, 416831157, 1046048095, 356902619, 870464328, 815745392, 173126464, 642758441, 12874857, 948118724, 335767497, 470575745, 394620405, 483952267, 251983002, 676691207, 935980175, 649620866, 221440246, 519584247, 335980701, 30902609, 529565849, 28160027, 639876472, 84987609, 311672492, 76290990, 886770198, 147133720, 625955820, 486342948, 27904032, 66274428, 902070039, 78892018, 1006813156, 970215079, 927136073, 195790523, 559125335, 869609561, 247387536, 1028148996, 623291571, 934973991, 962041568, 903907886, 566728465, 839265988, 787310621, 54068255, 121045030, 19218016, 471607881, 448717805, 709090311, 430142527, 648733226, 1055653504, 1010510437, 591497185, 765069268, 199835214, 523702403, 267680421, 625084149, 770806404, 410481485, 16456525, 976405817, 253467793, 550702098, 290641246, 592239103, 557052563, 372804973, 816981344, 593583529, 1043531611, 649391851, 589940458, 279414351, 379434895, 856467098, 340656864, 858448093, 1010075071, 133992058, 440051668, 201756904, 262236863, 545587450, 61397162, 850474794, 111971893, 754024085, 948005630, 659412676, 49984583, 59214914, 264082472, 12260626, 879293712, 210887802, 963371981, 641936312, 420388718, 1019657324, 621680985, 891693554, 615806884, 817886946, 179387764, 359806101, 521702399, 246846770, 447058399, 569412201, 1045929809, 885793953, 738516756, 218276489, 696244262, 663712025, 319371827, 587347832, 702697146, 13128550, 620722725, 311343778, 79719120, 460656878, 97568296, 682682760, 37115837, 202141837, 843494603, 826384924, 378409125, 756270918, 854726814, 186633673, 144043257, 493533277, 322310975, 913999358, 780469427, 43208961, 177269134, 274766951, 13015737, 60247417, 167873970, 136030439, 813011161, 1056293838, 742951736, 138924884, 157358086, 438882622, 742249939, 556653670, 292947259, 661892514, 507783124, 1028951781, 630518940, 921390915, 325068582, 823688032, 88844599, 295410853, 689154313, 756276454, 790832840, 142260562, 36306444, 522836017, 635763469, 771739028, 166659551, 489337105, 990596318, 42063228, 392154426, 881025381, 812193296, 389129865, 885927583, 362234796, 817964610, 886342544, 158906657, 900269870, 505958831, 465315133, 753668898, 614954201, 358035723, 375222163, 266321707, 944542294, 580203315, 861099062, 732822398, 1039305322, 959820112, 659921430, 309393039, 273009283, 564674378, 1015846990, 652716368, 214195530, 743912585, 444980494, 117388923, 160430772, 685130689, 129529046, 176946638, 98073974, 1010423661, 73977218, 207835732, 637666928, 995706213, 957693648, 434518432, 578221803, 12813478, 674667790, 752994206, 614785379, 731843001, 540577463, 214410207, 43686360, 481865982, 821909713, 954313513, 135046392, 696109246, 321219621, 255300797, 5182445, 462814020, 983527439, 546120869, 443230731, 897930640, 957727464, 66247009, 172883691, 830261481, 793743296, 573536458, 190547948, 363263131, 562458035, 450636627, 2536318, 1038080924, 1023179209, 737667251, 222777631, 1050658804, 436639108, 524057608, 126660932, 494190371, 753132010, 991144299, 347081785, 753589569, 825116338, 959488344, 723542229, 124298200, 823096622, 882108658, 845355056, 640197458, 964533786, 893231690, 235736521, 499157302, 457507163, 536114635, 546466695, 265669255, 129537342, 310427446, 998684853, 773417811, 450665640, 502032194, 309064214, 842461033, 741611464, 770056818, 92433428, 465554956, 200763617, 281313729, 601326165, 886843896, 86215244, 14904328, 434090807, 133575549, 445266587, 831005978, 551167023, 1055837661, 803411397, 684239963, 459431782, 574029144, 782270702, 482604669, 393533030, 522103380, 101006830, 823969041, 357171534, 739361827, 876751239, 604708536, 800656471, 797280109, 96172872, 481462668, 89979294, 947481415, 901067617, 35441653, 223070912, 705017627, 766314218, 527294535, 624853977, 871749336, 501716335, 1036724038, 628686387, 81134405, 564813802, 498867795, 42712690, 1070481155, 769747371, 869432094, 50750004, 657977845, 42858716, 173145383, 593497858, 39614985, 217754310, 340610025, 337751587, 1034739685, 232816821, 861237116, 887318354, 997833418, 126107754, 145573885, 477624788, 904633922, 847334921, 821061947, 753760834, 913376907, 814063655, 141818132, 381552117, 1011498339, 240393600, 62616545, 693883751, 734149565, 512994499, 932395814, 230216268, 79072458, 327432258, 718342295, 463870158, 7675912, 420302867, 797559547, 1034934863, 847589445, 610206197, 479448622, 160205580, 870561984, 838302372, 430921795, 1065004463, 147488505, 990547628, 968458320, 933254721, 386420259, 243559993, 47210242, 674149252, 500177438, 771389824, 711354601, 994179840, 259806186, 377216697, 865560965, 64907684, 267366779, 485712360, 981762491, 719225717, 482717809, 1048655780, 364538988, 992823667, 33749710, 763211594, 1047383128, 295206314, 269368313, 1036376040, 176381473, 326443353, 94558632, 292987723, 265659556, 231754807, 409202854, 528292888, 772429613, 54191008, 655439094, 324442972, 703224066, 679567004, 990018345, 433696043, 397856584, 505145732, 466855135, 859242538, 682753555, 104886002, 1053653414, 692918112, 258167100, 420774753, 288615986, 602401577, 819343754, 535458793, 731814877, 143491230, 688885098, 788139828, 593575452, 701378189, 505945227, 419915176, 358810495, 332819584, 352242821, 734084733, 354344648, 288178014, 862680407, 919669023, 179828895, 242230339, 465326024, 73376398, 866997562, 326882896, 829709575, 469386244, 589743520, 385491608, 367402538, 705028383, 849513943, 546901735, 989517725, 609418265, 664029352, 138911736, 502392874, 212814399, 164977912, 531757265, 615998278, 228646703, 1024420735, 391431434, 1071069503, 157823281, 193368517, 667459153, 30939589, 365021499, 356255849, 604514142, 732208984, 644297856, 369637997, 591720219, 468045995, 848949359, 756737913, 572568310, 760167248, 145599498, 1034980814, 711361916, 709439285, 347671671, 737977438, 697959979, 192420444, 217632425, 480262955, 920048915, 492089448, 284230091, 259901969, 977693748, 980764714, 710732433, 8497241, 967977592, 859239486, 179581293, 660466425, 319208699, 858357288, 244460762, 509452097, 770105815, 133861319, 433606232, 66317183, 232555132, 675797188, 339488374, 342680012, 274339172, 471766001, 1029341876, 251449976, 734933430, 292002878, 1042915839, 588918149, 561675753, 387656967, 1005284358, 376921232, 109107650, 916360817, 564391070, 872527747, 809475034, 572744403, 137356519, 1036594047, 23399150, 883803005, 173432418, 243393337, 714390194, 776086442, 353485078, 597068481, 469201039, 269971033, 366661153, 178512717, 641439525, 450315669, 497623018, 3975536, 57864345, 724644787, 897645868, 894963819, 267538843, 947424549, 1070298450, 227870893, 495903660, 528719495, 202669449, 555314669, 302727405, 897558509, 241235357, 367505632, 233323735, 57436138, 708055151, 1069603799, 666594448, 745182511, 1030488085, 910554868, 984375460, 287656068, 738360543, 831422588, 237121781, 979330861, 454724750, 691134262, 688298533, 631057756, 1037618655, 789356877, 146681980, 630748471, 230537189, 483368028, 685024183, 993247004, 900313745, 549595809, 164143837, 420356915, 638067667, 369250674, 845429594, 916115716, 224800862, 558391781, 665837102, 940828190, 372461551, 1031402991, 669640077, 998556619, 150712052, 150772774, 435033601, 318950978, 261450285, 455646051, 913932065, 242127248, 1020758726, 620404509, 71423478, 274552608, 332706538, 440625173, 1055102303, 527296754, 803910289, 207626189, 787570640, 873975188, 5850459, 667721871, 44746415, 206474876, 657993757, 875499502, 828552598, 962929145, 492114982, 290332849, 817514932, 824012711, 59874039, 831692163, 519441081, 848654012, 562089122, 969160701, 907602426, 794005362, 958882126, 217967050, 946417789, 67061919, 382655122, 754620797, 34462700, 644904048, 982133960, 885283168, 887886362, 699912376, 338943368, 459776722, 370036916, 671614701, 959384029, 1036285649, 350968935, 419164369, 994976749, 662121817, 966983040, 772491708, 67889889, 953944897, 791663073, 864079013, 183690506, 972292911, 940326049, 905779421, 627051128, 679292762, 28433725, 862525393, 828545349, 405556739, 866462085, 77204576, 100455496, 18517399, 101354101, 854238961, 350103147, 423826807, 899797316, 589821070, 917694743, 1043873336, 440827086, 270689908, 788212959, 106963657, 930393480, 162807270, 1003757328, 289626271, 775561587, 832243078, 941307335, 475382543, 678380875, 23534557, 330737357, 680739542, 16117743, 919941182, 914003796, 175549906, 905977120, 314042470, 598299260, 1017029731, 735308022, 763448039, 310983144, 1062201539, 691790869, 743402093, 639487494, 826421688, 4572973, 1010315553, 816226879, 798631152, 263232910, 1047415769, 879622832, 91012236, 166393324, 538313648, 525443086, 670596865, 465509452, 919585379, 709237128, 796527409, 433402212, 73988644, 120454506, 988631864, 316731334, 576513249, 343715250, 271219634, 183163594, 120432460, 590226529, 37161989, 1053417274, 156538816, 757557538, 744135234, 316680155, 380036534, 211804770, 394624182, 196658210, 125822431, 992844817, 909664430, 583075415, 437192665, 76291932, 594343356, 848323430, 445135732, 158500909, 425663988, 417558739, 819691992, 712710297, 917752403, 134410201, 295368416, 426859553, 657764783, 530318683, 469722396, 469232777, 314795627, 816281543, 289502985, 392297622, 619303972, 252738053, 328841657, 1057811310, 826055398, 1046257379, 903091878, 27124252, 739813873, 49217795, 322938250, 342801839, 36442360, 353841571, 913436807, 60989356, 868472340, 68407258, 840065804, 822115302, 837617448, 422862646, 1057359969, 253691943, 785817778, 410226851, 846031215, 395588371, 295967710, 78749735, 383345656, 214371521, 465097679, 958454415, 603756247, 562700605, 1028953506, 921615684, 210637617, 110214603, 800733338, 463188214, 442083827, 470410687, 468122965, 213306648, 685183011, 762889148, 632276576, 716699827, 967918079, 548868902, 998031234, 216378842, 841123389, 664984372, 78544517, 950157676, 566440827, 460521431, 367929203, 983129682, 544841547, 983203203, 949754311, 552685685, 182300841, 69051349, 548904966, 561688959, 363985812, 102228268, 575764852, 884294160, 126060093, 673253469, 134910867, 51017561, 940127472, 462852760, 938807985, 427876424, 1025486170, 467181520, 613052741, 299862722, 379594822, 746042218, 411968863, 993094410, 604824424, 946956275, 539195756, 486887393, 478343977, 795889050, 497419555, 21751552, 562463283, 1045938545, 12284090, 513016767, 531816344, 507713719, 731396861, 817978493, 850337218, 644041115, 135565528, 236612360, 847938193, 867955193, 664829310, 546620184, 1589961, 449153868, 1054006934, 193792923, 435639869, 525741795, 192335550, 675165660, 696109648, 185481046, 660227825, 111276603, 434077386, 807032546, 1006333327, 264095557, 643391674, 27950241, 180768562, 989265893, 647426281, 687891290, 386046762, 587362714, 437521564, 729522391, 1021488437, 454779290, 519179694, 810987645, 244879521, 440781499, 147427214, 917538477, 1067791157, 397432455, 876916149, 395208414, 285474286, 483465169, 789119934, 273325710, 800905763, 890530902, 495267551, 490535354, 24651351, 412411864, 1061711996, 266477074, 400279930, 949647774, 127830582, 1022569882, 418794599, 871288358, 977005138, 905845331, 537368516, 507855530, 285398754, 255774440, 446827112, 963723124, 463782725, 1006358041, 986616524, 20577947, 641246198, 366006973, 773820339, 620827222, 898103487, 943940860, 780978359, 514217265, 312158346, 106771960, 1065516395, 816288078, 870480238, 288898197, 613994255, 1008849651, 1070632478, 669251547, 865326, 139128030, 839609376, 780982978, 411979033, 487360589, 257777654, 333523790, 607317409, 521314235, 935139570, 119593639, 996827562, 751829367, 972988459, 496992618, 862637457, 802111345, 709917972, 138960811, 293903252, 804490603, 768307693, 1570416, 84889530, 631713355, 519331812, 52704401, 183109452, 392075069, 591419097, 744697839, 684937627, 519974122, 279223185, 940826704, 312219079, 251854826, 119349564, 936714930, 955248938, 715741190, 113385585, 647840474, 532876107, 997074401, 286759263, 789889853, 854427135, 717239204, 409664225, 61146509, 998483901, 523526410, 947416920, 148711328, 392234240, 1021538201, 994487386, 204231142, 185514815, 378405873, 48942983, 314013095, 339162299, 1072660472, 620210802, 904285922, 276886415, 440732673, 31989127, 143396102, 855772963, 453195770, 704829419, 768050695, 362601846, 85223767, 941151450, 1071848282, 321095048, 553342021, 97152862, 301493733, 160353016, 818767764, 790081308, 62177011, 568228873, 587571568, 319923880, 117377168, 523933496, 1014433232, 319595540, 322061130, 1054655271, 183901552, 998694874, 895804375, 580541461, 668492748, 1043367618, 411693785, 551416497, 683595608, 895967937, 935883598, 868958985, 227262182, 766182471, 1000690886, 800704213, 827459235, 36961081, 146582015, 191894873, 62842405, 6975313, 80074773, 337122873, 419132835, 185011379, 251301537, 782904719, 819779179, 247612425, 572203003, 655231102, 794490077, 751047002, 602153524, 378908490, 119126973, 441703193, 864357704, 625831849, 871026523, 394858578, 1050850890, 1024738785, 839831976, 951089918, 1006556861, 933314180, 1001403417, 429729048, 214991031, 342332522, 643470506, 142569916, 935579692, 77226577, 782108522, 310828441, 414644446, 373121251, 455445762, 760444194, 35163211, 502364705, 30753948, 277073624, 208922718, 45262434, 620337688, 991507382, 899737949, 541461586, 956024291, 90638879, 95811318, 746832160, 244488250, 167170659, 104864010, 118564877, 912502980, 398502741, 349089773, 389214625, 703797620, 557798681, 93753496, 726591247, 666107580, 97053685, 115067842, 935617500, 679809846, 752815229, 739204164, 210777481, 779965229, 320506146, 579300435, 714497163, 373495718, 766945508, 430450112, 492187502, 6373681, 667339973, 1013116646, 161526573, 132193859, 124689193, 205521544, 368701515, 163534613, 319132241, 475266964, 943842851, 698523735, 366802115, 456456397, 468980577, 473676269, 722836653, 639962769, 80497887, 896391264, 451524885, 478676124, 724677025, 595362590, 867583241, 376262715, 134652937, 455450850, 395976554, 478489749, 543656744, 685635428, 965956689, 652057202, 1007892075, 278485627, 873970783, 233203874, 720829819, 542444209, 58802008, 666616363, 889161549, 581552948, 88415508, 515358668, 729174790, 8596319, 232842982, 132659666, 1039463200, 290720521, 320547972, 950514825, 271017585, 773728394, 627671114, 491172092, 15222286, 983206317, 459210274, 10667212, 251727066, 330276988, 171934702, 986836095, 1005901994, 40381412, 516062019, 392598040, 450355108, 1038085963, 55761814, 251732632, 985933890, 807714893, 128844584, 1004063920, 1048103565, 412546046, 728053036, 908729682, 241747176, 413408639, 817389362, 388598881, 567018152, 1012392440, 474317845, 205309109, 519220452, 980367750, 748145034, 787438869, 876970800, 191307913, 947182846, 233147721, 183314773, 326960866, 488824530, 999784900, 314375925, 729393681, 89393462, 968791791, 294116967, 277302419, 667428385, 1037107454, 1062192843, 203581, 865424134, 389657251, 385317709, 79175266, 506005644, 920799859, 380768579, 317319557, 555098506, 659591089, 190290758, 896348046, 485975938, 543020580, 494925638, 321483952, 696292389, 57546017, 869669649, 696518236, 324194720, 701195443, 567578122, 224005924, 643272724, 768750588, 722645970, 942586548, 375362798, 643915950, 493456632, 668807199, 574321975, 282049137, 92836134, 161777101, 671671318, 49414130, 590486292, 1051934471, 906987552, 1060739200, 107782107, 789955599, 345958253, 191015302, 606217389, 227570050, 622887502, 349368143, 534401662, 107720836, 888022658, 636109671, 957037544, 101018003, 993478114, 354954063, 574308439, 464568785, 721421447, 524139533, 970106120, 449963804, 673838386, 814776189, 431050633, 918730813, 283002109, 833128411, 673653487, 957791600, 845073344, 181011003, 67762632, 254109435, 599098861, 1015110230, 110251401, 867639926, 111576958, 123577940, 94537574, 365019505, 733260311, 178579203, 993300321, 293205600, 50441450, 600856081, 813396478, 305119992, 387391328, 402149834, 490715351, 489191027, 215971223, 888873624, 940686539, 159601780, 942775561, 180001760, 41723322, 599151305, 559045003, 300006360, 415740942, 704983664, 1030042549, 258491434, 876309730, 123059324, 72169071, 146282951, 937060448, 825090234, 793655539, 972624144, 947636387, 258387618, 745006183, 513787128, 807233725, 832867008, 170211819, 246008308, 535588176, 495668774, 38637709, 177955742, 102419581, 785449959, 345313827, 780978972, 400967479, 226381036, 106410208, 542080427, 182553131, 185294884, 672193441, 939582523, 364775887, 629058008, 196227076, 444034074, 652160535, 609462167, 1023979551, 623631382, 408976503, 295368323, 120043789, 1055223739, 793355948, 785642677, 235017028, 376990523, 985174808, 82926738, 698208717, 1025234306, 109356444, 566984390, 933342394, 224410371, 180485915, 25184779, 964556876, 495182621, 629407111, 1051811512, 706908894, 556828829, 448813903, 99698606, 507069336, 410944696, 402394445, 93312528, 284335940, 1040236922, 241379914, 24450294, 29406254, 312477768, 395852380, 833631263, 75662287, 726208095, 683367087, 682954384, 160172893, 834007590, 734693208, 293307665, 95322761, 901498834, 163453744, 582298330, 530059291, 459176444, 426163736, 856973191, 1050458471, 541156831, 944583503, 1033452728, 681065592, 603641979, 287750171, 107812104, 655135930, 174402035, 996038742, 664042485, 272203648, 216683967, 447239646, 312185402, 607479554, 463237014, 699295787, 861044954, 433795524, 345066643, 606764040, 438234547, 594038417, 348394114, 308794168, 290030633, 539662114, 83276232, 161108756, 367312444, 739823862, 288127255, 133999452, 607741419, 31174162, 917068149, 987827980, 352026224, 391231564, 956342230, 798848701, 238530767, 346186796, 469290489, 467728659, 623956919, 929748068, 316620412, 11471389, 934732643, 515030636, 875434712, 616498549, 460067579, 104670942, 110855019, 625149794, 973962284, 979527667, 379682719, 50532284, 730837407, 1024198084, 310290161, 364562169, 61895082, 814266661, 350831132, 320142264, 366119226, 955469474, 135015508, 844919715, 1011444544, 420347919, 1025664578, 949913254, 502107386, 586435820, 662324072, 508335236, 31816297, 282312601, 94737591, 559411846, 896515165, 56611275, 465586954, 360350022, 268886791, 52032364, 683869482, 1005942152, 422381057, 298134732, 699264228, 946527837, 254777000, 926034343, 136022406, 680655198, 1046884166, 647041254, 591089900, 127332401, 36363395, 619535234, 901323942, 132177254, 894120673, 853656874, 44817185, 290220276, 1053306080, 39918521, 1030680690, 156400878, 692732014, 783234745, 114078841, 856654850, 881989548, 682202558, 820558200, 935888980, 715530585, 638999517, 593645505, 465691866, 1000038580, 1051620254, 757291598, 693618149, 927258363, 177199444, 902290792, 982933158, 882008677, 1072798778, 1026223527, 1052556035, 143079839, 288692952, 86396284, 835585741, 656128353, 183647754, 674978672, 55880500, 606288409, 991193409, 99866118, 936390497, 510686121, 280593146, 832248749, 319231191, 732341190, 361286408, 276419779, 894239113, 876811498, 628125083, 170823681, 23902787, 718446839, 266217873, 354725864, 794729820, 948114275, 932258718, 821830271, 295169850, 312024970, 102077834, 82357725, 207584127, 354250977, 590309140, 444116056, 438277986, 542979581, 90271731, 628270008, 602196932, 150611745, 594885738, 79441961, 31588645, 631851281, 586865781, 649633969, 997171811, 446364687, 851659315, 972025591, 644283675, 144685985, 722385598, 367491905, 615116287, 392730821, 494581095, 140013710, 26060862, 743451103, 1039953461, 51497665, 334012251, 788171866, 185633883, 649822774, 717774204, 424750131, 1060440136, 1004147345, 441179959, 569388825, 172374748, 1048202218, 577939625, 463256675, 732756563, 340239556, 374216709, 224416448, 373224418, 468305412, 512020, 53385746, 661615459, 742540160, 546489402, 513408533, 372936371, 298088954, 92345398, 970417125, 164382915, 669411305, 743688703, 326267950, 216711018, 411008789, 905131341, 515326653, 1073199309, 367732697, 187774233, 849545442, 665534318, 136401238, 93274479, 953592983, 474939089, 764565246, 161420275, 5716261, 75375080, 555091814, 333639113, 1012461411, 245223041, 858427369, 995877230, 1051027904, 896079037, 149576216, 613900677, 966425743, 96181608, 539582261, 160307869, 736079082, 701951787, 926652611, 300355725, 159233719, 610466101, 129470028, 262829192, 753764172, 472377215, 509465818, 291344511, 61690949, 873014772, 754754755, 1067572712, 288091729, 669549306, 953590349, 325851078, 486040098, 701681188, 373968010, 455644245, 577273434, 99672206, 696914766, 546467057, 637842857, 790169071, 876788498, 672913986, 587974618, 1070883197, 740769583, 714088603, 1053399589, 96239433, 241893173, 120987958, 403421208, 942952334, 582871922, 530491450, 1015968729, 955232181, 512857714, 729365916, 780838057, 150123054, 922417204, 998914101, 443747146, 371020783, 362631518, 865455577, 860154534, 202394936, 318411373, 971594827, 339441341, 278686595, 781222835, 799366767, 761390083, 608310420, 881556756, 649205017, 218371671, 1014508124, 334496949, 956606453, 718742889, 98462998, 99896228, 164893934, 368483733, 568486897, 152911601, 449343571, 744048698, 408780080, 51936420, 611860915, 378914622, 388471923, 822478127, 9192536, 266164663, 948174796, 395117826, 334150519, 661062750, 683558831, 240695141, 1003544810, 168590540, 342725599, 275557700, 899760085, 586365413, 259497749, 172904880, 932112736, 64524229, 272148707, 910475893, 170496217, 658313418, 438706570, 1062827752, 183504025, 865094407, 896728506, 439204193, 970434789, 7640093, 52147317, 470588271, 1061887354, 198767876, 572462684, 682573913, 431261501, 53516809, 5610294, 124805028, 997201446, 83367149, 4354758, 570494409, 103569625, 133538333, 821655069, 242032038, 11074237, 900667511, 956522625, 894372001, 335867034, 969568867, 1061043230, 363443423, 224813678, 114041389, 660924312, 713842552, 806405643, 21903275, 767326868, 529033847, 503669587, 947589596, 99746286, 488949309, 659354971, 144255470, 768634289, 74169341, 1026888473, 322783907, 1041291270, 560376659, 247897217, 56470192, 224332052, 260951774, 722635469, 488296966, 158162916, 223212404, 741354208, 826062467, 192599797, 312601929, 285173931, 688328611, 67519394, 231410990, 816202966, 798134742, 176979671, 303064201, 13026343, 1049146676, 241068491, 863337796, 400772803, 963995451, 545923810, 754521826, 893744011, 805407097, 305171604, 645861943, 195933953, 129201309, 497751887, 221575547, 73126524, 262621955, 92131345, 619984477, 366939703, 869935238, 854431774, 829478957, 1048249477, 774205554, 746581096, 129861725, 987920435, 614418041, 411398408, 997098968, 83234269, 371828292, 913735849, 939195874, 168226738, 963906442, 771252600, 990447703, 628827050, 416321078, 927474579, 782095064, 90715403, 715805866, 593239655, 618736922, 365743111, 778398918, 790598213, 955285033, 408131437, 299921436, 274539793, 624052785, 99442499, 121638613, 1057740108, 60248193, 13483651, 473414146, 87227653, 289097635, 549489253, 355353125, 713387185, 785216547, 481109733, 399817308, 206442579, 996237607, 174328349, 1003696697, 246817968, 390241636, 347755268, 246370727, 915514027, 659585844, 175960414, 1040075326, 775198940, 306463771, 348755797, 878978927, 959575649, 28952120, 337862505, 220921339, 228307632, 310481717, 829676254, 826207835, 300241152, 509516846, 459320743, 286813757, 406140123, 633154344, 249780339, 896288132, 813103744, 779315850, 180285499, 612017178, 336754111, 983611577, 229081896, 458321705, 226522053, 750722240, 1022020217, 77572746, 789849892, 247747954, 894736055, 611832984, 301367469, 630275331, 815132713, 710751894, 731286411, 35839653, 998933356, 585050770, 926584207, 67723382, 857417025, 602217535, 936752272, 590713822, 951266232, 101459105, 169525468, 252675436, 321880553, 820624838, 152300912, 442217899, 67421800, 324894397, 753291886, 580236047, 107109330, 166838506, 337765511, 478038945, 950210401, 857098004, 891478912, 751078712, 953870186, 133351047, 791965104, 262066093, 891148437, 506621902, 817745419, 527385751, 932357594, 1045183221, 801113775, 344682555, 1007737254, 645522233, 144666030, 715866879, 91010203, 148066600, 515709672, 299881754, 729229361, 1002782681, 691011084, 3776944, 297081427, 229267677, 971363255, 311519315, 50775011, 372768262, 1017824208, 167292135, 729850465, 497294362, 180151313, 500260965, 1019944715, 989714044, 664825703, 229290688, 998095696, 955614741, 757612081, 107265024, 538120675, 517737766, 633408114, 226163928, 613575391, 275536940, 534541479, 947725704, 802018390, 380153135, 987779867, 643302400, 476426976, 221394052, 101214576, 606277668, 920538448, 687851411, 216925926, 278574898, 205815851, 405342029, 638299069, 281375140, 27408644, 198914129, 756616769, 514540443, 961760216, 280253894, 171596857, 552247935, 727870226, 642550503, 425741775, 702804928, 919836634, 40501390, 836263234, 798902257, 643937865, 876929031, 505524044, 251484421, 1012163703, 75827295, 783107484, 671043084, 192669747, 735907121, 337273418, 890302452, 1005052238, 952248901, 164553209, 585925686, 598394430, 97096501, 654722250, 271405519, 71030548, 451248738, 312115214, 959706212, 991072036, 441112459, 497416725, 490583713, 396224612, 624908568, 518717173, 417957517, 319226717, 494745117, 473243797, 69425268, 496900045, 919895268, 270432096, 447570761, 152932400, 1056695734, 458566912, 289513258, 790025054, 999871609, 1019424348, 3366671, 95735649, 180550557, 307905592, 1014163778, 46377070, 559268329, 1005795348, 75749907, 528660310, 617185006, 654595540, 340391475, 667341973, 627227686, 911321781, 282133393, 807911173, 2336233, 417077330, 901026042, 684078090, 181922397, 643872094, 293074536, 12141306, 176742688, 869370857, 119934895, 609497800, 23135974, 604632011, 406273323, 515526549, 500807629, 839629979, 824036799, 911414343, 355097634, 21150916, 616782641, 449685467, 253768373, 60136332, 452331826, 246266313, 958809750, 1033547404, 161327755, 343809551, 453683731, 94093012, 394770249, 1050639496, 121831650, 286302184, 347168282, 556546329, 391181726, 563362340, 843249414, 189700520, 352350983, 769985920, 47945848, 1002948087, 717884555, 978166997, 1026121147, 565038812, 192720621, 531351523, 700063758, 235790526, 494826764, 877169429, 891441890, 82460473, 544460972, 456902438, 186681861, 323779806, 960998693, 726670064, 1053008583, 175779753, 243819521, 766627215, 78116509, 560545786, 468248013, 469969772, 307332933, 145778040, 8844617, 610219099, 145360115, 257553140, 431180807, 493004712, 19010848, 943870409, 548449205, 371355085, 906952902, 481160254, 834094668, 541265259, 545800419, 235222395, 653594507, 925917201, 951830879, 187193134, 737843620, 387419654, 51625841, 605383668, 159822725, 735649341, 786175332, 220903897, 164260088, 938811700, 605859917, 188590864, 678183467, 525321887, 233434401, 814964001, 973809709, 945058750, 66757806, 192769338, 434883748, 1072380403, 727951882, 14857097, 92641963, 127206017, 673205822, 219563032, 358114190, 1027689262, 756700140, 425995946, 1055103229, 425827038, 1034305363, 67027868, 873055064, 513178826, 531245608, 792187438, 1053998611, 77789368, 26313938, 1047054305, 1051641823, 741291145, 1063877242, 313056758, 943315211, 102955627, 925596165, 4312474, 855679517, 711871407, 582145026, 630744777, 82506279, 308572380, 858154298, 837906814, 420374556, 91505456, 75909120, 889138331, 428378204, 900603762, 1004712132, 422982830, 982919777, 887089702, 25647134, 669016343, 292294508, 218006762, 632697932, 206029671, 757648438, 705867790, 89603756, 1051024036, 202642859, 489081541, 523496438, 728748566, 1024953224, 4625128, 651272456, 908831160, 227009987, 988475471, 300885626, 1064146966, 973016328, 203950199, 165686287, 356286955, 895187391, 467313930, 1027351719, 780219408, 890119367, 679799501, 65182663, 870841365, 456447123, 649600428, 500718863, 452787331, 863948081, 885049632, 244495606, 817601589, 848072408, 537562746, 195683860, 809781475, 989255930, 401870029, 289415613, 641000336, 544528377, 889706492, 444441409, 1011498453, 561795375, 354059237, 677784487, 741859470, 867485285, 155010945, 20826848, 956447214, 38595593, 998076573, 758815681, 421512165, 666784583, 464273733, 1045927231, 444777483, 932915702, 1058674604, 255638841, 137530308, 41948812, 353041691, 999995026, 717137798, 813905687, 106726325, 542432285, 214846310, 552852226, 481707004, 358374083, 11632881, 705155583, 126793440, 847939274, 498004864, 631041782, 371825484, 607290025, 640084303, 1007139583, 219651395, 710279981, 17145712, 242959476, 982688056, 109945378, 835724262, 650922442, 954816802, 794995216, 916713987, 180280588, 975912154, 1002732312, 54673755, 728626657, 384328869, 388604358, 1010471270, 353660512, 128172256, 589086311, 922624693, 521384567, 58447388, 677741486, 1062276087, 238105832, 343043315, 520535170, 18435714, 748737657, 638017722, 655063727, 271445466, 68332626, 797012958, 221089567, 848019391, 173881754, 90998229, 293882594, 318772278, 733982812, 150291695, 111677540, 170103251, 125394721, 8543969, 810757910, 580206085, 468685401, 149676686, 327444819, 630252249, 764013412, 890809749, 591750180, 476665160, 640310377, 607021625, 653219693, 909394023, 208228454, 449163385, 109444383, 786323517, 183498601, 109410948, 441197458, 130108663, 912926661, 836383100, 989490154, 303475803, 835286451, 281808811, 161693503, 495110019, 677196897, 435365854, 703742836, 653992009, 153473454, 984175613, 474628307, 73211968, 324726379, 1059104598, 13534967, 154345489, 268565064, 822193915, 504604109, 341065427, 505848621, 854907276, 720403301, 17075802, 643034710, 917651358, 871167538, 955055244, 679001077, 25447263, 932544882, 86238955, 372056514, 469093036, 872400084, 382778901, 498109675, 498164180, 683429767, 731792414, 676521670, 139248096, 309648476, 463401057, 440713767, 119249436, 722728247, 563482357, 296973432, 855961826, 434312735, 248416875, 982922782, 1058494488, 637778501, 395171417, 428119837, 974837885, 1025451105, 841474127, 926150283, 463801734, 1004720433, 122663415, 583301429, 152602963, 35372983, 11013336, 1056332604, 255981753, 584934461, 673186191, 504486049, 476226116, 445543147, 674913962, 195587969, 655856479, 584526384, 807347471, 630098621, 927861117, 757224772, 1031914296, 728571938, 883823089, 897361961, 1009075292, 720975299, 1026725712, 1024726288, 412321278, 297787823, 2395793, 542161897, 529734302, 617640797, 400977179, 298580605, 315440144, 385713959, 895176399, 742913169, 466421189, 919579903, 851503464, 478412162, 981335122, 313203070, 652107600, 573955003, 1036316526, 143542717, 618322107, 593261185, 970224758, 561277390, 23061379, 176071862, 899329018, 763241205, 525420743, 1034429327, 615646028, 74197033, 810066655, 811284727, 232362612, 1027018413, 436801374, 202704845, 838865730, 786318729, 906225476, 251134699, 830663436, 275034176, 50244242, 304725825, 431408632, 811769351, 852130669, 179585459, 541861643, 495170837, 349395747, 552991815, 287334535, 670094511, 395572410, 465442378, 776588941, 872607221, 1015565180, 536727645, 422786717, 175505016, 114960264, 781046781, 890300881, 490263883, 103523111, 199570880, 261290490, 543167327, 860973293, 289779156, 210349177, 305130467, 477670786, 318216809, 874945533, 567675031, 422008370, 137919736, 365799585, 650801040, 683974479, 69992016, 554140742, 603112096, 412982755, 651823188, 817867639, 974974551, 356307450, 360344176, 633548741, 269674258, 94742806, 64819604, 898250669, 993619249, 78010821, 442848726, 791092392, 710166545, 745014566, 450291334, 808720930, 346508561, 849322970, 307606140, 468334781, 11886206, 5970446, 332922542, 728040666, 158140741, 664068066, 5263724, 433471993, 627620612, 376236921, 891195114, 675667282, 952325804, 194611986, 778703133, 162528400, 1049347846, 225292059, 565355658, 15127959, 390093817, 930103552, 1001373480, 190643964, 879487516, 946104512, 163491097, 18468926, 478169249, 867653341, 775996374, 345165614, 352185125, 337146080, 845112622, 356730002, 522274705, 980176311, 911550362, 615063202, 386356504, 499996095, 594913419, 691786266, 558869631, 1038425105, 1016549489, 533019167, 921984193, 431032873, 396663345, 307433111, 611450815, 357197784, 217689257, 965877974, 298390269, 694807589, 229675889, 150811760, 119090671, 677755636, 90926880, 992262859, 31465656, 988716668, 3213586, 146266525, 725371322, 1040299009, 386514024, 944542492, 886628510, 761956433, 71817281, 823618536, 700344595, 233936656, 63555639, 167808985, 343012910, 675197024, 340497234, 417886648, 280740951, 635231552, 569128235, 798065594, 823679102, 62025096, 155753772, 443334968, 143473980, 66706489, 68047001, 1039010287, 256411159, 197631088, 50462557, 382842236, 79477375, 575091860, 249757134, 1035447830, 222277511, 731700654, 902388245, 696156760, 108339909, 21281179, 652435360, 265782637, 767446509, 742841434, 573276444, 956878285, 467516877, 174539235, 143900972, 549234543, 93284984, 183283423, 801862434, 839243250, 919664392, 465013632, 457492302, 1055250759, 616506155, 859464891, 844452992, 60507614, 138823797, 152386682, 148264394, 143060513, 1049693051, 1035425330, 353532082, 290298868, 569312179, 522145386, 718622920, 7953467, 837858386, 98611925, 1033357964, 1058293637, 889978152, 958944889, 721142649, 816003440, 705583621, 256202226, 181335065, 834924522, 388213438, 508045096, 906646214, 112443495, 952352912, 531645619, 775454669, 374244550, 365415824, 1057923056, 204852363, 164117957, 749244562, 489210345, 214897391, 1057474268, 869563541, 127331948, 863276056, 401616336, 99921504, 413736048, 253239620, 24377392, 652715129, 989807467, 707167167, 962525934, 562223393, 139199885, 685633095, 838498808, 64711732, 610302645, 641380118, 272630100, 445803887, 119115784, 1048487387, 354926721, 505637796, 450360802, 242785764, 243752971, 435061462, 530404518, 572576485, 796363270, 307151787, 343267530, 168948110, 906992250, 225670186, 671498329, 649336888, 968368859, 724887460, 44009798, 1039158129, 1049766657, 1015857186, 743987003, 10255749, 967162446, 877812321, 51250159, 674443172, 118555879, 87904186, 17925245, 760199344, 108125182, 426212590, 1071497690, 143816340, 338267674, 115239067, 845271136, 1004184184, 984939067, 738436361, 854324003, 309130924, 157853073, 676864752, 1019282595, 284889062, 448690808, 6631228, 967932247, 627234222, 310551360, 251567749, 778275269, 495334273, 849900973, 9905672, 120161768, 1069003622, 1068713375, 36123584, 834941296, 1064027926, 617140611, 1016493826, 735647722, 978856326, 235672802, 160253535, 811599420, 995193247, 385361194, 173399109, 305200418, 659611314, 962248912, 746628073, 517350301, 959361469, 1017464685, 647467506, 757431268, 795929427, 659860933, 958669389, 531503404, 728517536, 343999278, 181568396, 322362246, 582084595, 841997373, 748072231, 323192345, 166246461, 197520058, 1064849285, 937730869, 429534649, 507387696, 523327850, 399934658, 959689181, 17117810, 223300165, 231943806, 424701946, 783129346, 459545605, 175997169, 586463076, 275588145, 710350451, 105709661, 683668504, 712829726, 913461991, 106541991, 148409341, 788272907, 173538936, 861259419, 854349426, 23249765, 33426186, 1012751915, 918652650, 925609538, 421045919, 467163812, 428585777, 582456754, 236327769, 969273536, 929792250, 887258660, 624440152, 785252340, 849085269, 573687787, 918175957, 343355345, 739820602, 965566255, 207508153, 188742483, 223418221, 499222944, 437653027, 298265534, 684726977, 1062442624, 246513693, 1021018875, 443337899, 838053568, 837172206, 945934177, 790707755, 961592219, 531913461, 597314587, 1042296882, 200492613, 313283262, 804500776, 576536731, 1050145796, 419440913, 613594369, 404536532, 530766953, 638103050, 379151027, 993433153, 997129645, 579574623, 704416682, 924909194, 991963356, 393165569, 982878979, 830113793, 866706118, 1069802984, 396949815, 713751382, 974343061, 1061832486, 105488280, 368072271, 224397933, 422720388, 910358574, 587876897, 140156901, 739605941, 790892875, 456932024, 162495794, 901623098, 459378668, 31749894, 695693426, 350148613, 877826567, 376556753, 73380965, 819248204, 327962517, 553486876, 497161185, 572829427, 299888573, 331562251, 310734476, 1062106547, 177021055, 625409557, 639878842, 545441114, 1052044525, 874375235, 820827776, 957814850, 136924691, 718402165, 501726816, 698096548, 1055924910, 125112202, 256610672, 17756089, 5073964, 5750129, 515671635, 370841377, 287662881, 946626272, 392910406, 292181955, 566912054, 197423110, 586783764, 344762498, 663292693, 83015159, 42973369, 157165572, 744558075, 660162701, 911987277, 196898213, 280368175, 584102203, 537738348, 533599547, 259186473, 66478809, 93166147, 466508343, 1007911183, 335250279, 323429424, 747173007, 778767802, 734704851, 786514606, 849475955, 681460387, 409631222, 744997058, 43360770, 255035601, 806483019, 171444216, 640490253, 931177619, 586044166, 224757163, 997540573, 132812822, 648049810, 776131133, 262485889, 483969069, 403705036, 676572608, 652608508, 476812309, 898706350, 703399638, 462868227, 663773804, 881891969, 140925750, 539415758, 253197785, 939843588, 989191779, 864569593, 936223906, 601537266, 282988053, 269829451, 1013104059, 842844538, 708444303, 437574752, 944751045, 524749327, 631946611, 699738770, 128302719, 348452542, 26678324, 427773498, 582187148, 267869202, 6311254, 736348009, 128386440, 843769685, 520071493, 369467125, 17658698, 292614242, 260056593, 40202595, 726669573, 831074591, 1014254511, 966380907, 613332291, 1039171592, 219804606, 992384592, 243418213, 667086761, 797483836, 901401090, 962334786, 54414230, 1009043482, 443356340, 452824752, 258402027, 827478086, 70894995, 883356542, 722679275, 272688380, 1053806693, 722655034, 326668348, 11589459, 407499174, 270648934, 94545733, 563356507, 682701253, 715505503, 978416716, 717822745, 325584903, 1043228503, 821325232, 1042480560, 318775954, 421654530, 702753621, 218652530, 724878127, 309908896, 230692868, 275955441, 970898267, 480369898, 702140292, 936933457, 47372296, 904419652, 966321755, 795209896, 632808384, 321697800, 628686944, 924685604, 100007805, 748631530, 30163491, 899012082, 608143022, 221508399, 479897377, 1054343028, 670187558, 603083790, 940108498, 995424218, 321975010, 114436460, 552625316, 118205954, 286087805, 638999071, 300356547, 809232097, 1037932532, 180573992, 951033252, 760246495, 44650507, 884275028, 394556586, 668849419, 55580970, 794066213, 45920861, 352598174, 197584756, 907139225, 410188852, 392259252, 537715505, 114435165, 117802932, 404720906, 880273714, 336424371, 260243321, 654911763, 244631958, 36924117, 551503404, 498713104, 141283522, 78903067, 203588029, 233929689, 48060657, 483045693, 829928771, 35300931, 957827556, 1053438330, 618432932, 786091690, 773084112, 437160558, 1045291148, 503948254, 680986247, 460662648, 42854025, 30451965, 238771922, 258494984, 874526165, 495802331, 479324789, 46631397, 752211494, 546156848, 33100061, 266590874, 148689465, 662852733, 46268201, 1064424099, 881722616, 522746356, 179639514, 427297816, 244803102, 837758807, 443658707, 675964793, 189653301, 867500674, 170805967, 709660204, 39168732, 854071470, 385449671, 208237981, 448859715, 297522110, 1024365256, 268986086, 291426850, 384515185, 793049294, 865046679, 283261566, 943593216, 728900145, 420477423, 261428094, 536470831, 57454413, 160445911, 79018545, 382400144, 209091371, 54084195, 181955730, 1042739743, 408744220, 710440599, 173903034, 297685947, 491409922, 178853952, 1023221950, 408502707, 67953300, 922263847, 264054876, 277257200, 268884346, 309342735, 852465087, 1066105359, 903704438, 288421388, 1071515369, 351621288, 613660931, 730602312, 454749790, 548937296, 159437622, 560442133, 152105542, 1042726688, 942803985, 556310728, 154331381, 851322194, 800316306, 25933663, 656932867, 480401341, 74243921, 129770495, 960246304, 937413589, 92420866, 1017298915, 999638450, 13807403, 586182047, 471909962, 496768158, 76738749, 232958527, 13088643, 205370453, 177481780, 739427050, 895730941, 93028115, 144793104, 1040151226, 289628181, 910179976, 449066343, 428164418, 552893309, 816611364, 571912511, 318170081, 593431965, 453356389, 913387782, 550151982, 364241422, 260411607, 820728017, 1064316587, 480163587, 485145101, 500376455, 631643208, 177309566, 822877956, 976400611, 505213875, 347526907, 1005574746, 539946812, 369059735, 685884185, 1045205617, 135243563, 645626396, 473989953, 618307929, 305145627, 484353924, 507143493, 922344885, 241366617, 311989853, 788940301, 1022731111, 372966806, 272801725, 592364877, 467404340, 913782594, 9815963, 517426180, 948490131, 29995151, 165402206, 934411633, 1003001617, 553567124, 999181778, 125820994, 62629661, 403905919, 513983074, 48108741, 576634732, 1043016815, 632337366, 868100718, 280172555, 1024078843, 1021629252, 834519114, 803642178, 277363183, 342072189, 489141372, 919005403, 258107655, 845364020, 317146087, 193611233, 10259959, 1014564986, 423293353, 792093869, 721516772, 22316886, 1068818424, 949646042, 469233061, 758026416, 435946445, 3593827, 1023582123, 726800920, 323569224, 110374538, 906096783, 847341287, 476972215, 315044878, 501322038, 511424424, 961709877, 113456860, 248178235, 2600080, 961915876, 452478138, 189683691, 572273375, 408331324, 221878942, 691723974, 312899566, 117896796, 434676117, 817164182, 228052643, 714561913, 188258624, 301225863, 740610773, 339727176, 194991672, 91961599, 11375926, 242908058, 330033534, 704228646, 870724426, 131228356, 400810186, 7960078, 240636700, 154279119, 542150827, 480783188, 227556935, 202003282, 285222061, 735322244, 934610939, 422844631, 893762799, 1052744036, 433853998, 797666890, 777137060, 226304381, 43722674, 745001170, 494115248, 78918246, 293980356, 821183428, 409712906, 339616837, 780115143, 872860812, 871555251, 144721367, 131649073, 436472758, 588165409, 1000027870, 354031940, 593763277, 298961836, 54391360, 260409439, 194691952, 431898655, 350536627, 575827326, 1027678585, 773587031, 254567652, 101058143, 879092905, 1026839728, 558702692, 123059231, 844857873, 660100636, 862420866, 945119404, 201657575, 243773026, 691110384, 204151944, 543052392, 47032147, 803571315, 910624601, 635656651, 836033768, 915483741, 493739450, 771932040, 431847870, 175914031, 816347177, 27721140, 231904677, 593799332, 221495967, 992371768, 769903197, 131490959, 639673479, 637334394, 336275013, 658175533, 329561683, 183999707, 518061306, 80814507, 341426893, 828066280, 563897551, 549315414, 784942202, 337642318, 1050962891, 569456336, 876774766, 76681466, 570930124, 361857884, 681135545, 141298454, 305261392, 571845387, 1013349388, 852635694, 907136334, 838391260, 74728445, 358323090, 810792429, 152197164, 591338538, 93407672, 416169396, 669066933, 995194241, 502657729, 810262274, 237185439, 224917608, 425718526, 182391336, 785936519, 287604310, 222085523, 609322496, 4419250, 375870121, 848989246, 389709963, 169693611, 753000599, 144564220, 154758217, 1025138793, 614068173, 292379346, 640242145, 183136603, 281790217, 1012564391, 683246765, 945729320, 807319666, 423434795, 281933339, 1060044172, 454431847, 434369085, 240656588, 221959292, 224603523, 427130725, 725067668, 1057462990, 23760472, 722480250, 761187912, 617361610, 1064134891, 121710450, 102845162, 17176089, 739861356, 831790795, 642368804, 631588254, 478158938, 698987981, 180671810, 1050815809, 281112489, 996738045, 183522437, 475162859, 687716832, 695678753, 16992992, 978300477, 334268690, 524248551, 143644396, 515975993, 97543192, 768308310, 945322495, 554116214, 103441293, 687153466, 177616456, 619352402, 941293788, 798778839, 1065968575, 331242217, 558605886, 1007899656, 413805721, 860085716, 1047364859, 720926581, 589540823, 656547067, 327347952, 1069524314, 209979615, 740030147, 629956863, 498827641, 861682407, 605245675, 215732860, 5148393, 231937686, 783502710, 902696941, 105353619, 220216263, 228526177, 173422323, 73283161, 825650689, 633097368, 822100138, 1012956219, 979286357, 288595154, 732950626, 944689001, 609330356, 501891006, 52473920, 443964861, 873021112, 131319752, 304816898, 367092045, 477938986, 670294629, 521467160, 825515903, 145069725, 1064533183, 673329083, 122620073, 254307365, 982791713, 551811320, 259758741, 612608115, 572700771, 191176226, 97588642, 781743329, 995128790, 392583755, 99881419, 351016214, 429357214, 841306130, 464089528, 1072116735, 972691496, 919846947, 291371552, 562544348, 937155316, 212767396, 774272006, 520537765, 631526801, 680134503, 868700071, 287275895, 292844501, 94959477, 204244152, 517039703, 649921688, 480658337, 103064473, 429110811, 135331992, 749355718, 807256105, 693499703, 1066613231, 857942041, 622654356, 52167153, 836253484, 60105085, 320309316, 781243253, 131491098, 296166519, 750684671, 184327950, 765504579, 418721223, 870506336, 965410779, 461093675, 796520564, 697586559, 488121815, 870301000, 896192970, 822662130, 329420739, 878078698, 321672527, 391599510, 419937922, 958012473, 1033100511, 40039297, 977001351, 469096982, 591761401, 466093348, 313803517, 57881124, 650759369, 81915163, 788627186, 37903516, 12556330, 256593118, 491915665, 712708826, 1062398544, 810697040, 15830623, 136386514, 187070398, 997652793, 299605948, 860509406, 997846287, 688911530, 20145757, 423562985, 1057698705, 1065894536, 932698968, 45098277, 820165292, 750049389, 833812245, 724683459, 585527085, 61811716, 370952692, 815374901, 29084434, 158778937, 117092490, 218168636, 188601133, 44888549, 351278800, 482524882, 836999143, 442495091, 609982673, 861317303, 62862092, 509416227, 482107656, 911212902, 829054084, 958029091, 80290659, 504501025, 644163003, 180401785, 975386393, 677690111, 421647264, 4588454, 1021500569, 568435662, 982165725, 492222069, 299721689, 57424937, 779375672, 123075177, 311226699, 963101677, 420137892, 310886966, 903724912, 651370611, 973736057, 901731674, 1062117153, 270537166, 601259771, 1057125743, 288621086, 632080472, 664584860, 599420821, 654664695, 825397029, 519262056, 827034907, 465986120, 142432299, 1012297635, 709604786, 717610520, 814114061, 875604018, 574418865, 84239721, 708739039, 399892798, 771171586, 466511529, 551675252, 1002931749, 333695516, 34276402, 29841450, 95469241, 51077165, 995114682, 740184866, 54788007, 175139478, 621016122, 37715174, 513821960, 1022671258, 960612295, 948523377, 580610577, 602062254, 867704787, 345938207, 1009258861, 549938578, 72681030, 584712422, 470853382, 114025742, 546789394, 720576469, 213588815, 793880729, 1061872270, 642151456, 600597770, 535493323, 973695954, 832504321, 547014131, 205414754, 286312855, 633054379, 394078626, 93217047, 459036280, 296413611, 777463277, 749216296, 377514452, 352318653, 362140685, 403362695, 86115265, 163818177, 1033521897, 614894209, 256959642, 992886672, 536854775, 1024695412, 522365911, 380417340, 82878940, 971009503, 772358594, 832180256, 1000299401, 40944590, 769334324, 914342753, 340129944, 631018749, 816493987, 916466175, 804764875, 787715193, 785693737, 675374612, 948971072, 441702415, 297042223, 1002758193, 515159228, 182291395, 94919806, 191832555, 655851595, 779619620, 66611960, 965381605, 264930021, 725440923, 416955800, 317086257, 492662749, 1022499319, 434089091, 42669840, 570540914, 820970579, 668724798, 229072572, 375463261, 836759007, 723788277, 925286823, 383243362, 1023147809, 848747891, 866616436, 695901196, 369344995, 485892336, 212900962, 574034144, 727621925, 99003358, 1029274862, 169611624, 269662091, 51773997, 926849842, 178743125, 448170084, 200943332, 677712297, 749860559, 837611579, 641738724, 1040174850, 220285500, 347830776, 598577042, 372104025, 428566313, 386196680, 1042496800, 213565464, 461853591, 1002691852, 813095859, 317258867, 592798880, 165646663, 336019949, 878720185, 1050910209, 1044458701, 217561640, 540446294, 30217638, 445196869, 26470943, 939142955, 702061819, 205637973, 516663970, 957588028, 978041769, 205096485, 302569163, 127360664, 619789222, 660816673, 189761648, 188008262, 299339900, 1067387872, 848407335, 1007772597, 1000552173, 687387554, 257850828, 832139450, 613876048, 728215648, 165819821, 857633756, 145429360, 922747259, 758042530, 148174209, 458664581, 751791042, 314035574, 549967040, 651546286, 917325354, 412597931, 566061891, 803488345, 463062865, 358819190, 314695288, 176067638, 33077084, 301753363, 839679387, 1028562180, 144562350, 919578181, 351161616, 311202915, 180850268, 772044637, 868253756, 1023077733, 751408658, 793295, 102116598, 171817254, 46062168, 799173106, 589301860, 165548472, 357741509, 106281818, 325615237, 651163286, 5602116, 205164513, 652191919, 1065175124, 356492187, 226770324, 81101439, 419398285, 471176356, 724881266, 320001812, 585048992, 501820376, 914953558, 371872075, 289922337, 47127886, 655007294, 183055486, 252804367, 1042469765, 118695845, 531007479, 119780984, 450836757, 621085607, 973668607, 308399683, 106114616, 405048947, 291053564, 872628282, 476770907, 143663056, 915631143, 976769912, 789644245, 674000916, 408227262, 953959769, 796376982, 265619152, 431894743, 39064183, 13996548, 212274688, 950515422, 2482321, 5456125, 133211387, 157392829, 456715336, 548399108, 58178210, 252469611, 648862767, 16667797, 956598084, 228982077, 682534247, 694340273, 26156149, 789531824, 35738483, 666046031, 816915150, 1030789704, 205933068, 828650531, 404338798, 607451625, 863538823, 781439440, 852255280, 718340004, 1011878441, 739780058, 551205304, 825913242, 727064173, 175891699, 971498992, 192766209, 952909567, 116926731, 654295184, 680633583, 156960991, 14349995, 618993978, 10858771, 345584982, 547269863, 960286902, 406919528, 1050900034, 2917073, 646800508, 291786758, 438594620, 10496901, 23995178, 512367914, 81132740, 63565779, 696863433, 1054894236, 819509135, 387149634, 866752940, 975866405, 1013180126, 939894460, 87890150, 276177071, 708525029, 335337933, 1054861623, 951287305, 396915403, 320385325, 255191351, 637208180, 353568357, 639670015, 724504705, 405111432, 94589612, 540221384, 749156514, 878074331, 459930282, 109147408, 66307505, 854223746, 1057486623, 713460864, 700685836, 272708623, 609047873, 563048143, 374826370, 456540256, 278962183, 180375466, 635583143, 497920472, 841953240, 774802207, 651446956, 929911388, 42272061, 815976484, 254181644, 196855672, 347545671, 155017298, 158209184, 985158983, 725042921, 641746695, 781269828, 444509153, 290031541, 186213365, 836925076, 216996876, 845178714, 1918074, 627628585, 248063666, 223693689, 1011374225, 687974229, 102571376, 295666758, 96755782, 509811753, 979450021, 182819496, 621642335, 470251547, 636144411, 6443390, 520569186, 1071916151, 806177675, 75608423, 397741664, 736271511, 909266292, 155980321, 814896340, 112865250, 1019662263, 940260251, 657963028, 1019573693, 769751701, 163047205, 430450535, 68267163, 755470793, 507691313, 238248896, 955380392, 209929639, 590592218, 5056932, 812074183, 58059157, 842119218, 295937503, 123298663, 706684613, 603853226, 106547033, 155761303, 395930598, 741562005, 163814995, 638598272, 660985247, 688429541, 773439779, 774652404, 139732114, 937006191, 129418339, 460848510, 999650222, 1022249656, 501741098, 203647462, 469594706, 9302844, 1012330767, 247054459, 325243437, 296686866, 344352472, 300381924, 546984596, 915445970, 392177978, 43767349, 509877222, 544130591, 416437400, 777306575, 1031369694, 437918066, 88265742, 591536579, 130536484, 1065474749, 434919675, 162823700, 996139693, 329635891, 804294456, 1054386037, 691488934, 33724788, 856116304, 116041016, 996964212, 352276352, 932901420, 421705006, 835458835, 838329741, 470344526, 660279381, 177503920, 850624437, 1011712341, 789482760, 156187817, 182658766, 837493964, 344140920, 31863459, 805090705, 49921967, 1819206, 630232051, 895107148, 879682541, 802144359, 605949977, 1038880939, 58415480, 992689064, 20260054, 14853561, 163169993, 938289296, 510921759, 847426147, 496234747, 306284962, 718550674, 601108298, 447626631, 989693821, 512759887, 157471829, 967758344, 428602375, 895846712, 126888451, 413380146, 464292056, 124179676, 664265, 166894404, 7453852, 94051426, 519498337, 503719909, 771760985, 927006586, 1035431728, 608252333, 252582904, 262165671, 86994802, 282430997, 197414313, 485051840, 410680872, 1002486592, 599831102, 763562379, 113300977, 327480078, 238868501, 561730112, 190071544, 459931857, 1022505087, 62047045, 247485444, 952154698, 119072401, 187537773, 341995799, 264997161, 248995589, 517301085, 377108572, 541374107, 633126727, 954626504, 321169734, 419923630, 1058681160, 869486847, 155033291, 924839200, 984523175, 922996727, 987356413, 322983414, 372279955, 84364683, 200031758, 517569369, 438610604, 435995572, 142961519, 667570309, 195914574, 259595789, 472376794, 320894057, 70210423, 613281911, 304376536, 156773853, 682488333, 462588896, 682911178, 446424112, 943078485, 582357667, 898667418, 700343721, 707742924, 497184820, 28493472, 1010837610, 848190031, 28175395, 600046762, 513044668, 373304308, 494907532, 1072342465, 851766064, 454617040, 594286290, 410002742, 358261351, 1044820664, 339231687, 541166731, 138732021, 396812064, 167259174, 256644296, 188843896, 126778014, 214638330, 626176861, 957508731, 570634048, 514908466, 905469067, 654711554, 890869259, 679262124, 572151327, 32473850, 635069167, 963331932, 392232510, 947966944, 530160585, 337192164, 740233923, 115098735, 935408377, 1045910860, 457930767, 104534307, 474405278, 889799865, 229557912, 890183913, 4011582, 176795435, 138089011, 811477988, 842450199, 629415316, 1060467414, 668291411, 327733365, 780516156, 951468354, 639599393, 57898533, 454192431, 158092950, 130695729, 927766691, 481564380, 494314803, 64693203, 1019214272, 273642436, 663788357, 315104000, 117957821, 275907895, 891479104, 848989929, 1069466432, 809038654, 935326577, 831913591, 574404234, 786606741, 503613609, 125778084, 748809231, 626732160, 800178956, 414455277, 315588276, 529991596, 561311772, 700796769, 885791719, 419168118, 174127846, 756246978, 934747797, 469976903, 338008125, 614043928, 341799587, 107237451, 633998287, 332895966, 529469746, 269171567, 888803952, 635210327, 983976758, 574966141, 824326929, 1061399359, 390031616, 954855305, 414243008, 81107529, 382711389, 618057784, 185667106, 758574105, 67078102, 864631708, 113272796, 787100404, 250013048, 1008246429, 360955406, 1013531984, 226203766, 659314019, 527671787, 408501973, 357665712, 933004628, 753583416, 1028173586, 310231465, 491704103, 178904669, 780773840, 454966572, 719693802, 521272962, 558948418, 238254969, 108062014, 35555362, 905825188, 496331504, 73899081, 368423726, 736983070, 845950523, 217381863, 415794335, 10082362, 47933926, 908913113, 90973105, 901304978, 321373240, 611235630, 72350244, 664792122, 242622537, 10214068, 244319095, 40813467, 564602844, 793539951, 96576481, 727234203, 796961822, 1060239221, 297570982, 155558659, 233814960, 136966034, 108178631, 262928397, 76158786, 835723852, 841227191, 467373660, 602893424, 388258909, 828248944, 493648638, 461569230, 460491111, 483971680, 134033180, 457488185, 602596095, 109753155, 1043813351, 618529630, 201864941, 910298485, 982533277, 221737047, 485750605, 825329918, 232247651, 838352189, 116808262, 92909010, 866766405, 117146621, 1063456820, 93526316, 20297562, 303583482, 932469335, 199822735, 1057716866, 177401603, 956962871, 588681418, 781379793, 245242717, 257931392, 896180991, 187865203, 1038264693, 861674779, 75281228, 624551622, 733705046, 540330683, 750621835, 727704680, 92432176, 58713977, 444888895, 606510590, 221456410, 628902114, 970752354, 557623657, 535815076, 569012089, 798224190, 461783068, 696733688, 383146813, 1041119240, 19764107, 207297015, 1064645775, 31146075, 253395129, 1026290647, 103460480, 811579303, 291746091, 673286882, 696245529, 179791908, 553067485, 258961401, 1036981339, 403067539, 441405531, 31210113, 1048001184, 523998424, 744462334, 191373920, 266348963, 363610381, 994301402, 339777380, 51466746, 423688656, 524582977, 164557002, 1024726526, 473367560, 503388274, 212987455, 896657909, 28947471, 37508494, 422359680, 779163168, 761703132, 671416690, 513582999, 189630644, 459015818, 1030692901, 1044922618, 619106782, 254018013, 82090372, 494337836, 230808308, 242054546, 1065539720, 999669916, 373633189, 703436897, 286363907, 661777171, 307839354, 475282040, 263433643, 394407991, 571754269, 1056834041, 75843164, 1051687531, 763524313, 687362766, 338838771, 461093207, 859419350, 1033189431, 633397683, 16806453, 1045658123, 839937500, 464905031, 462533428, 98354235, 830839112, 645800457, 501422114, 723292601, 146735751, 554531928, 578813250, 794463745, 214500997, 850400473, 343349713, 440113193, 36494148, 20842181, 145756803, 810036751, 91387821, 907951701, 984763217, 315648113, 820882382, 544333798, 998602048, 864742740, 547913954, 704218590, 724454343, 873427065, 87914141, 872537684, 558215805, 303340599, 1039119442, 468177062, 961804239, 304811664, 99996974, 804978431, 695150719, 750052447, 443523871, 1020020880, 940339457, 638637936, 440632285, 1009218865, 226811829, 459564196, 849230782, 68492335, 225778002, 886496165, 101234337, 592281373, 543282192, 1048665526, 1012088209, 288644619, 1054646778, 573249847, 295805456, 828214917, 524960178, 237056747, 979677677, 95975019, 1007761803, 420323810, 593542344, 440828576, 988532972, 340454925, 999743276, 541738394, 179026585, 843590274, 59391536, 267008129, 358785486, 896518305, 808659614, 401493819, 338070705, 401747487, 359618695, 691440941, 207187118, 804882841, 921903101, 817694728, 820133320, 727624009, 701950193, 625450545, 704422345, 597076236, 618725717, 495547474, 755319628, 318032433, 442238731, 391591318, 113586798, 1050634468, 111291190, 176718448, 89966194, 115724958, 421599069, 1053269681, 941368643, 461547453, 954927428, 183701384, 576153633, 691301707, 117374258, 896991178, 552124604, 754348805, 882850993, 162517969, 78632490, 161506535, 617723812, 750957817, 110388018, 199653150, 633889235, 416930159, 44493812, 709226226, 490788635, 832203713, 478881087, 14134791, 737622539, 49595582, 427768682, 888938740, 667433783, 549658842, 665537193, 554034765, 756201558, 204138212, 1011576334, 4143764, 946200576, 300698702, 612799889, 162110471, 736445150, 208256807, 971290849, 420379142, 344189927, 410182119, 356062029, 546888771, 452843428, 843671500, 471862654, 1057479602, 197151835, 545293048, 838519997, 61069686, 723961711, 992597675, 691963756, 947362213, 55703271, 116480404, 297938357, 867415108, 594904808, 979458370, 250047581, 396886176, 857927448, 180625321, 811720990, 307037218, 265750669, 107722199, 19995721, 707146105, 529097197, 342700838, 525398129, 191568136, 30187654, 753298239, 470706016, 460656839, 816673504, 259985593, 936807798, 264469484, 263580074, 9449530, 398029539, 773526691, 175075335, 783243575, 410110374, 431652385, 845885866, 339213206, 403222200, 689422805, 303765892, 389977124, 838847521, 240199381, 747569117, 27164409, 771244685, 1022880406, 924052264, 42207426, 746343667, 786020499, 64124750, 453845793, 337010978, 228751176, 283848665, 698693792, 510702229, 585757018, 42244459, 439402757, 943442462, 1025798033, 330543121, 395115669, 291418428, 303295255, 1049027631, 954100809, 208598590, 737876666, 54487472, 935836496, 171320917, 110919738, 808164080, 220460668, 229630296, 709020905, 596000500, 528631486, 776486272, 1069728286, 590891739, 337588525, 442698262, 796215827, 855077422, 719913496, 990862850, 345426559, 860116652, 103978845, 698446015, 36028263, 710798208, 299935704, 229558183, 373147282, 240493138, 213992110, 1057567430, 1070258500, 27779983, 459587720, 388058903, 246385202, 829808654, 628072236, 584880952, 264244737, 665632977, 260401445, 505151852, 1043107291, 1014666182, 949831301, 173126504, 908573576, 461498137, 797598986, 499621184, 358493969, 614239600, 688083924, 532065937, 183951260, 279420681, 404886626, 232800117, 872950711, 231430604, 318565184, 286096924, 478631044, 851611747, 706318365, 339443762, 458442483, 152572407, 947988415, 807540093, 868849940, 948774510, 142480409, 1016651345, 440671507, 167763857, 108848276, 122645132, 1002037954, 386415356, 335241594, 678024230, 30076955, 431723018, 751737532, 156876706, 1024860572, 1050071779, 839005832, 632642145, 439059211, 306805462, 318837688, 901667582, 111111232, 797702752, 340024390, 218073173, 296471811, 869580476, 743712659, 931922614, 249606990, 542960783, 487047178, 722058519, 509795484, 691534018, 490464390, 318897551, 972397477, 394118494, 865211244, 147839402, 181081769, 1036440260, 504860492, 86257595, 912378271, 775798771, 38132299, 1056288625, 754410303, 316267052, 979324490, 791418101, 408482434, 827548743, 255515747, 519039780, 211196259, 208096596, 1041937071, 972863199, 731067093, 843278264, 295679861, 1033262558, 114640909, 703713371, 778713825, 733491271, 861976220, 625232663, 602545474, 879989908, 885032446, 647230885, 973514943, 695350639, 457518570, 229449392, 218690997, 456747763, 1019130219, 516644890, 170928305, 835613583, 839521613, 575915018, 712327293, 48375304, 798107472, 910219598, 1044959979, 199022632, 845973743, 694086298, 323893786, 764860551, 492487515, 775743843, 29350849, 27771578, 253303679, 536120732, 870676860, 827028234, 1032817264, 78762649, 748479094, 600279836, 885977369, 222884449, 954262796, 229137044, 997026174, 729597161, 934357067, 208240924, 178855730, 680594323, 922245046, 766184938, 291850512, 156588245, 957686332, 416865360, 938986216, 32787174, 640879864, 374721886, 558939656, 112381001, 952135475, 180989814, 429656775, 215034027, 286112470, 115357515, 95000059, 696432896, 44121614, 903053515, 894425231, 357354397, 967913195, 102190489, 564728282, 445698426, 185341767, 100320518, 857360998, 231268546, 102216847, 538902940, 815770222, 147214774, 343673219, 716859448, 892058421, 937002584, 974411758, 24771464, 965915264, 372926003, 770066879, 1012357687, 246727853, 457319364, 605948666, 650824578, 732300988, 718315381, 184949770, 266585807, 307697516, 436325650, 265782302, 872932298, 152596579, 781005912, 607608719, 241611404, 991691878, 70357500, 418922158, 688121815, 851742664, 46362353, 606978439, 209080722, 272704043, 83954682, 270224694, 970154679, 308418800, 937112387, 984938329, 682780408, 418325000, 139516487, 942558691, 639923271, 856574224, 333359803, 393006702, 816859938, 32568440, 424216758, 942548101, 761600865, 510826300, 222251052, 785492935, 587178934, 109637248, 966103481, 665153584, 697863487, 812175435, 388781863, 661934555, 519284301, 71393184, 400661118, 777031642, 193784163, 463412125, 342607543, 531614115, 108656633, 424525360, 388876673, 687287687, 173874915, 824100196, 1044021811, 102134456, 795854012, 45998383, 919084720, 104596019, 804370485, 221279256, 870714745, 736097564, 253790370, 149194432, 878356093, 443413953, 1037403181, 213568880, 885921193, 1044494026, 589181511, 309129968, 1014012091, 842809364, 468228486, 732964969, 9611616, 502249013, 892291973, 258247234, 93787876, 716507508, 930784497, 182454653, 683836940, 314850994, 975002787, 803873962, 251661320, 50331338, 974934854, 852699887, 536686878, 586620768, 877266123, 221830470, 678156090, 1019850141, 759551265, 343983824, 1000898426, 386031878, 822771712, 632364477, 529038138, 930171328, 166894588, 95366251, 897396785, 386481699, 78564090, 481872414, 984618972, 162268911, 527072005, 683678095, 1033089875, 335374263, 895179589, 714876466, 367073103, 143165198, 729925566, 735319225, 1008724931, 723360078, 108264873, 451829296, 712840922, 15867064, 737789319, 132312207, 614413693, 556611022, 870051638, 464711706, 234147417, 575341085, 483909149, 735138627, 57578589, 694149260, 821723714, 158252228, 235030997, 434315193, 263139288, 371186726, 209857832, 955705608, 678158147, 653046810, 679749393, 11960912, 761972616, 600946914, 416339498, 51787364, 20375446, 1056290248, 77357289, 182866598, 1050836595, 331859763, 1062807135, 179809379, 776295235, 551034938, 732436695, 887975404, 710603648, 260112017, 786408117, 278606025, 206478302, 1025113297, 657731736, 986702847, 639224713, 1035030410, 447099668, 760254346, 1040068582, 332917551, 483631862, 877779880, 662556921, 125496051, 760983265, 978613583, 457105960, 445475404, 110610718, 583400553, 658460119, 575126102, 232857383, 937149763, 698930966, 787086196, 982953452, 749682558, 150874819, 332927651, 1048381785, 826383338, 150816768, 666240638, 819605724, 537761624, 651524232, 89889719, 248972622, 624977313, 883678272, 501243521, 918189621, 743414510, 903059898, 1011782348, 926157784, 93375263, 491921326, 696227698, 113610868, 614466452, 708371053, 953002052, 323817402, 285123944, 1064235995, 510009513, 152255277, 960638167, 241033796, 241847386, 500379387, 702505976, 465201522, 470544041, 960411000, 276145791, 725755526, 299891045, 906738698, 250262813, 108430992, 523960548, 829450863, 747750195, 191162600, 1061816744, 900598244, 291602783, 758653560, 606359844, 810427058, 203430968, 610874880, 129020667, 68735410, 398747266, 429000984, 974198545, 476229802, 196486626, 435902012, 855606953, 456425967, 519732045, 400560259, 617294032, 335067250, 157887812, 385647045, 623438939, 237432871, 766562561, 438909295, 826793835, 999869603, 775258925, 896617180, 526760277, 654647327, 734173691, 635315961, 895319683, 623197114, 915733757, 755786370, 424833529, 786612829, 146804409, 723323890, 604973600, 407862691, 30295525, 335400554, 902784097, 129902580, 349981451, 258403883, 499550011, 228186987, 1049508822, 608755652, 354112761, 931074899, 523455167, 200615846, 586414559, 266783980, 307523505, 640708467, 761764407, 950352119, 315609486, 680354302, 1697152, 461498691, 718277987, 947008857, 889194167, 501886251, 205280200, 492439056, 968902031, 454372323, 214563587, 1047380639, 100548233, 47083705, 499094227, 976491001, 556214966, 43550245, 687895650, 789901529, 872723351, 101283809, 892227735, 226143746, 976237222, 636066315, 971228223, 817216856, 733063095, 217044452, 1069072036, 952014121, 1007991672, 622542360, 689826317, 763014023, 341609301, 213352907, 828182498, 18287111, 271233077, 539743662, 116387140, 86376589, 139875380, 552280815, 1065339991, 289874783, 1016617847, 725264417, 188742443, 940157164, 257368919, 529080204, 52244302, 247415555, 579278152, 1038012782, 536051785, 767486610, 387451432, 79767046, 531249001, 616148615, 612850798, 708403250, 648584589, 187372813, 928996048, 285514266, 38746284, 21467664, 49026822, 549193335, 549502244, 29732025, 35239250, 729694950, 1070594025, 183036135, 562364974, 612656164, 1054883135, 303581522, 747448813, 537923326, 28508332, 557886603, 881562271, 1071612620, 904108970, 608115780, 967495328, 970453892, 807000955, 579356323, 864825514, 46497790, 450945792, 75313201, 840716369, 324607615, 407725743, 670636497, 373929576, 248506434, 964721699, 758550857, 1043083726, 1062738204, 895699029, 339055393, 66453258, 430177531, 826591808, 692319870, 738748497, 917846094, 40053053, 698694680, 217321917, 727878653, 886151163, 649800787, 351017137, 345772131, 707109024, 939592985, 187589069, 229465867, 947098864, 63594790, 628052900, 829865387, 678715097, 601877718, 1019927784, 375533837, 356462365, 631686632, 27822003, 460772997, 771621525, 590744807, 212887876, 495236653, 1068656130, 387457798, 1039056133, 533632416, 817372629, 701977983, 7059083, 104088133, 258799533, 146309476, 777047194, 974994745, 366397114, 819060973, 180974795, 71411419, 913880261, 355432354),6524), 1073741823) + } + + test("test5") { + assertEquals(Main.minOrAfterOperations(List(375505244, 639979254, 301003254, 33140916, 825909894, 558144251, 1032941318, 898728472, 173430912, 430068287, 648587347, 803752912, 107624580, 617915224, 821463205, 1024900053, 157677865, 875235078, 812474414, 381603748, 387768207, 470819879, 282750346, 443411262, 889839429, 1067252125, 738753008, 526140258, 44163866, 549366831, 1059685024, 981645521, 724866938, 56572470, 809708973, 251598442, 794087849, 1035447165, 374222968, 143384106, 810661325, 96610450, 912348447, 605317408, 906520627, 952145128, 263383426, 430095476, 601662221, 249576435, 190854966, 707209479, 54185621, 161830353, 454590602, 764999234, 786282873, 861465759, 312196736, 241523295, 1059733606, 982558772, 1070380500, 59414492, 1007198072, 64451059, 375611108, 541262731, 706350268, 1002859422, 72112678, 32215288, 796615428, 942637036, 283388984, 348177133, 736927695, 836392984, 944705257, 129891973, 295950732, 139593725, 499523485, 633158206, 16437286, 414390109, 548038050, 24570844, 949179917, 287806311, 93545661, 458625313, 475168052, 933118559, 281589070, 526608147, 373046668, 422915860, 732455368, 562217945, 352804470, 731866400, 433307129, 690723035, 347781363, 1066143623, 364871031, 473141952, 613795992, 336178046, 633704014, 261570403, 935946499, 971358471, 569913488, 677123998, 584530943, 331662410, 594885291, 950294376, 235242304, 706325796, 948190886, 358790140, 406886958, 40139078, 237834546, 356877227, 741850157, 985939748, 1030060340, 5565019, 174286138, 393915911, 866863959, 71147383, 962085305, 382115452, 639129627, 166863832, 911405827, 217186324, 1013262698, 588689779, 209589792, 270410166, 166626413, 731747485, 710581717, 1038595085, 673115428, 498773919, 832167406, 786806471, 761549391, 337794845, 724783949, 779065132, 490326237, 172578120, 317225860, 411049946, 19892183, 306204948, 466196539, 345894285, 548544573, 900815888, 443959476, 984382123, 324553745, 137224296, 768941905, 623704247, 656340955, 837590269, 732969049, 808852151, 662978212, 1050660347, 109569596, 747702201, 521947438, 893589771, 497013101, 907438264, 932039928, 97553996, 775587163, 456127867, 759588414, 160119230, 601228195, 563428169, 711754662, 812897158, 450486541, 161760023, 273063930, 343141903, 447523078, 310132505, 40203015, 983138784, 1047434323, 998352055, 374135432, 212691063, 914028591, 1047118454, 1029123060, 109454513, 282041584, 946406690, 319915045, 966839396, 397856684, 328197931, 717727246, 372386517, 861633687, 23817217, 120428518, 492615649, 1337199, 606888804, 636608039, 526750783, 407859027, 231265066, 4841600, 803863809, 17165237, 1032380400, 88131764, 620394826, 103550213, 167705230, 853898880, 828473063, 189633001, 574758497, 25356761, 855447359, 945657783, 732906626, 916831296, 805597601, 983878356, 173902008, 687214931, 208842246, 1010969067, 352011412, 194559772, 412500033, 571570682, 556014923, 537951146, 498319098, 459706431, 203051764, 732623279, 860404824, 1007908025, 489334734, 96514484, 988846627, 648449534, 223675946, 806203718, 275410946, 250807750, 379274377, 181948347, 469816312, 1066004419, 46326992, 788474298, 273406247, 845203530, 536977212, 1032096012, 813211316, 450167583, 687552135, 802262407, 516752582, 695031694, 5715465, 167595711, 1055182452, 355513407, 126817543, 390783432, 37987523, 484772065, 127271501, 152366900, 465191302, 977033681, 436195367, 881988050, 87487152, 351556031, 661098089, 83571731, 538901004, 776610081, 144026281, 432743398, 343695142, 905999279, 840478007, 758700899, 1063106361, 1021040737, 277693826, 682638743, 679355014, 404315828, 183225947, 597355302, 201025660, 896624587, 250432424, 131752725, 507582419, 489585637, 44125375, 744912094, 1052760210, 572936052, 415361798, 940360209, 483934032, 149172828, 917823700, 282810335, 854468911, 945264559, 557576442, 849978103, 262395590, 547055354, 186925694, 398922210, 92013426, 51897971, 898776862, 882725560, 347462437, 999033020, 768564174, 299122078, 198152912, 586020894, 610488891, 700956431, 726405058, 650365410, 485662169, 334270378, 380418220, 115121320, 1061343011, 447537240, 262482032, 591966743, 111378156, 589286443, 510209611, 1068482893, 369635521, 379530749, 663399906, 184275841, 122758666, 898065476, 644371061, 849853262, 1012155606, 154297727, 837421377, 964330087, 514095465, 1051124996, 115488498, 990978599, 992006860, 977534938, 163487735, 886289629, 100375290, 705847153, 836724022, 762855857, 415576827, 144812473, 446123406, 964529882, 472572186, 1067509707, 9536106, 160767677, 451303866, 36839044, 999389337, 1029829169, 499275650, 138506988, 1055203046, 582868725, 55813351, 869456410, 530217826, 320277940, 595737818, 967307005, 61401226, 596189597, 642315055, 444417883, 379605267, 1039291909, 1025830661, 199480682, 41888962, 906179725, 488247685, 163332069, 491146678, 691336801, 1062430222, 775388551, 1035533140, 871314322, 90540380, 813671741, 402495117, 911269564, 434661747, 468265163, 64202592, 584049068, 1032328042, 808243842, 630180164, 12577964, 340571862, 411407018, 193867256, 559047655, 247687884, 645923619, 916389003, 701239294, 360777509, 624355981, 1070651764, 77755588, 83720940, 19474695, 862107226, 837684851, 378980486, 969555501, 664207779, 615104285, 791948262, 366253015, 905145673, 359915618, 63546983, 156781737, 114677090, 624401298, 761779870, 825298134, 995315226, 177807981, 410400331, 624253809, 385007426, 778009621, 1019637130, 738676135, 140486064, 460429168, 34420407, 986487209, 1012336726, 745585352, 1040219473, 313300070, 791810720, 231837310, 342159178, 499500128, 700955779, 178620637, 1056703025, 173441886, 1043047547, 626455074, 870582360, 169076045, 828837250, 176965541, 509799265, 987182121, 828315371, 753416854, 987986258, 851384787, 838324519, 175387919, 863623875, 91261565, 501500761, 32222691, 666168097, 840171224, 943292918, 571009579, 861891710, 567727592, 460902437, 362176858, 981895342, 834534499, 998881564, 72141618, 246889995, 93241947, 837834528, 438755769, 827862653, 942748986, 921764420, 765438157, 1065201482, 570794411, 278846151, 610542145, 921819056, 567752523, 1028575906, 764066615, 95766111, 535275223, 339831876, 670967049, 811719046, 359878800, 267360669, 675926945, 903908013, 153714078, 507364357, 1001649586, 544534775, 1000217336, 911556265, 921569650, 556931977, 3943267, 875956627, 1004045512, 870936136, 583679972, 939137654, 234955761, 953296976, 823013576, 808754970, 257325604, 499136884, 958970407, 247206299, 1047431528, 996466917, 741237232, 605291069, 322680591, 206908711, 164247429, 114826306, 81214583, 974984932, 380686367, 244509353, 264761395, 441135366, 58650869, 660585426, 567258106, 891856468, 952297895, 248067338, 151508278, 409309439, 127331754, 489170515, 958473908, 567418099, 631279301, 7602328, 124692763, 108772808, 1059848341, 507673348, 835856260, 664308599, 2581531, 175429049, 246683407, 457675956, 350673254, 748347369, 1032178611, 881025983, 133431472, 312788989, 885130773, 950209664, 519571504, 495121085, 623206857, 212048358, 656728043, 1002690879, 384426193, 199958575, 742748357, 1038938644, 323526810, 306583059, 217709668, 879606605, 179296154, 987367888, 425936215, 846834891, 1055749841, 625442279, 73766009, 464043295, 859478871, 75065027, 305036527, 1038326184, 457125481, 875654988, 955028404, 913472361, 1063160649, 342449372, 737406286, 135209213, 70573619, 696860014, 1065870845, 95955242, 1010227426, 208692910, 315639419, 656785991, 631037802, 443939817, 427198388, 304434991, 479004155, 481449427, 785042399, 352497373, 779272239, 708541390, 53002079, 43587030, 605957282, 1069975007, 2030629, 951751309, 302993380, 1055588704, 906069622, 360416794, 28876800, 355429265, 213180673, 752641706, 308761762, 94913080, 943939150, 153721661, 577867502, 816193766, 389504998, 193667078, 899372593, 168250535, 169001616, 596813620, 796857574, 262190745, 422511485, 950711781, 29072730, 1066423735, 151856140, 764324343, 926732580, 249252575, 424372920, 1054036580, 761782503, 79969618, 803626200, 449857912, 772184366, 1044976248, 1063701449, 802172611, 1072015134, 559590286, 305636019, 45477942, 492673459, 68990188, 669182484, 674053323, 766357064, 240812510, 650732991, 834044692, 186849259, 646098326, 872986013, 515323556, 278784910, 881616474, 1062964941, 442069973, 824067206, 82037579, 675371757, 806556942, 410924520, 187374602, 898384507, 411644960, 193298803, 131154190, 688638558, 722716869, 304937946, 758227755, 281863799, 208817461, 701960273, 710335430, 655543463, 111191101, 1030207954, 837670815, 117072929, 138281442, 625444718, 393318516, 470437229, 590704907, 761128418, 452177720, 13330889, 348760238, 601989197, 443474058, 365973350, 800361506, 656798546, 176186074, 369582998, 3889782, 252828307, 246604635, 465921097, 879684575, 782157771, 538864995, 89319377, 1063068971, 323096008, 1063493450, 561397976, 634428878, 672427637, 207225531, 557216025, 238063232, 1005065795, 1038086521, 663985989, 200449355, 21344047, 164475478, 176991743, 797626826, 972769000, 979576875, 756456654, 2461445, 447510342, 59642904, 482340007, 288413582, 112044812, 277482885, 236341015, 181934904, 650370401, 909634989, 741143360, 714210344, 415314943, 797464552, 764566850, 613011178, 611154479, 163393060, 4784117, 576456290, 12828888, 720273331, 145618676, 253232071, 1035172293, 798581494, 316846222, 4558177, 584023730, 1056869502, 564676188, 138008296, 689508953, 227649729, 223005882, 361079165, 345190224, 3599326, 847157078, 951736009, 655384157, 481386590, 547892714, 1010512981, 658451356, 606593839, 523204052, 1041854526, 341152531, 767677848, 450495754, 401214459, 84315304, 1064629168, 566114154, 430303862, 536257241, 494657209, 875742860, 745135025, 1022973046, 286985340, 457487959, 209171868, 419533371, 158911704, 554840843, 424276098, 185757881, 974202254, 338775847, 389940580, 157824982, 201008750, 412455380, 574690499, 797957132, 282050656, 559491196, 924166305, 1037093173, 200539283, 457758705, 638039988, 455732562, 994993745, 694025352, 773934464, 40066210, 393987080, 290703904, 263662900, 1034831283, 990649748, 463968808, 896036616, 540359550, 164878094, 15564277, 231459897, 96388058, 1038548796, 296693204, 1068963076, 219910556, 682639333, 537233751, 903024425, 366745364, 652102108, 1067178388, 798012225, 40876318, 163637899, 172351634, 268309319, 342031764, 376152176, 568494998, 559860134, 454573163, 490233930, 906855558, 164394958, 98135804, 1004677812, 518203748, 611789248, 703600509, 475648110, 90524351, 513660237, 942535285, 389095598, 220963979, 655732086, 321461377, 833034254, 706583690, 1045004937, 385533505, 282644751, 1014970150, 413520578, 310170889, 739382328, 677981832, 228630184, 948614121, 574063218, 337523680, 315189228, 942137333, 920524474, 430144959, 501868733, 631674827, 391717432, 518102417, 850166426, 196466735, 255576774, 32670715, 569847724, 358843477, 75400297, 773626898, 893951327, 410716969, 708493786, 993051218, 188734754, 48380855, 423749621, 998352496, 345283856, 125762941, 188591967, 947069857, 971593949, 1047927733, 744668052, 129268588, 159056967, 1041968401, 364971791, 689196845, 956853843, 548297497, 154537733, 246865491, 126264442, 806610163, 426309851, 244118854, 852726173, 567730408, 466636296, 930345746, 211781767, 43199872, 193149004, 527476500, 994345514, 18865216, 776086803, 876148919, 695319971, 193197095, 511206919, 546962540, 688580438, 928897813, 941125053, 9404978, 290334594, 695332491, 326829847, 475520396, 809587252, 495042052, 170507501, 148899285, 705355398, 344434750, 368124925, 1033043711, 205726974, 162512915, 686883550, 106097025, 609546219, 279293876, 219466067, 519441660, 719588990, 1062919866, 532980885, 513353248, 661085021, 36830069, 1029914386, 904195165, 1021612981, 117366361, 118114922, 942319337, 932173092, 199589120, 979938929, 948576762, 762380916, 758101052, 844786969, 979380594, 14927880, 67565978, 690507392, 468756953, 859549595, 59071461, 823459449, 309104618, 722243919, 355098076, 1053894521, 197038047, 152680032, 651987315, 476508175, 114304255, 385530974, 340439572, 1055850886, 229390806, 385060663, 174222182, 288576249, 40571644, 869504027, 35281816, 512736463, 1036340513, 787459919, 162872230, 12284207, 247391619, 1010846033, 543852780, 529991792, 315802683, 206686889, 876100374, 94352324, 199327046, 880475355, 546641337, 154128240, 930144645, 563852243, 416011295, 285407746, 419970484, 1007858351, 688213193, 72219774, 960680216, 762503234, 43372866, 697124306, 81868893, 257939159, 150208196, 66702863, 712401374, 11893662, 438320153, 51178950, 613409515, 952897587, 650248673, 981070215, 489509870, 351384946, 928320369, 378506940, 943106840, 462886048, 1064631885, 810645592, 207915348, 27368626, 758260843, 569772944, 359625645, 4551144, 751781798, 234959296, 114075398, 586664611, 84820509, 907165659, 893144398, 402187065, 849318747, 878742330, 587634823, 140880663, 388642060, 868285837, 25695379, 1052379271, 840796520, 573419591, 558158446, 929026640, 1002417055, 1039005597, 1020819294, 803536114, 265973196, 234804852, 297088123, 345101014, 441199294, 782821017, 908656856, 46284488, 522711808, 14529072, 51731283, 819178544, 707548878, 819146111, 791586219, 830894174, 1026538076, 938365401, 115713047, 374777521, 1037955128, 889200415, 849890928, 535730332, 630860676, 8273058, 954903978, 737967747, 384879285, 921655980, 434720679, 902618195, 202459893, 794687208, 1017691208, 379948484, 280149343, 412116616, 936159417, 576205343, 119898458, 269766162, 840522155, 279263149, 203158591, 192162898, 44471865, 834564465, 319933729, 763721238, 388342572, 393163246, 505818909, 872750542, 410006762, 153902154, 39137068, 306253916, 254882033, 542888853, 713559927, 842724014, 546827889, 631579483, 367289000, 197210864, 474786298, 317789529, 471340048, 290301165, 3056174, 306208649, 699832415, 510658840, 994790767, 674607212, 899904515, 77787403, 2503696, 918761189, 620956950, 816547999, 861020094, 238247045, 975042935, 486647366, 683741356, 753040295, 634800431, 86248820, 728319926, 606557537, 527469059, 163437782, 392376215, 773577167, 533598871, 461242993, 984000391, 1071212824, 1060700723, 322200289, 730713049, 534129096, 464164443, 572468960, 702970431, 976402894, 432175877, 748691579, 171678466, 1001944436, 126145293, 904184642, 363306286, 66671753, 680685100, 200633960, 840623863, 555274561, 914474982, 586672624, 1042533174, 793390683, 254382671, 10328249, 976983689, 54604976, 992056569, 518226204, 879538315, 672802207, 165842797, 456200110, 1067611722, 410026699, 409483903, 244146277, 62762501, 62022251, 104369544, 4064803, 993137202, 422412628, 625653186, 1006411335, 584640612, 806135983, 692147932, 838077966, 847613655, 603327341, 773908902, 556187540, 879887899, 834518842, 543089725, 200492774, 395054903, 515643915, 283157029, 85987505, 215822340, 595992665, 391160465, 780479365, 329189725, 224376159, 400648038, 155913250, 302790107, 346164333, 553488041, 499673051, 1038512180, 86071844, 277613836, 532870371, 389757868, 620401171, 1034143782, 707312145, 173986287, 577222717, 597019650, 853728572, 931670447, 281637822, 545154390, 434156219, 367106859, 562232849, 1001809260, 1044189206, 50062801, 654587789, 638801078, 117653505, 1034802071, 609395253, 874648143, 992371415, 447895102, 815333309, 567690288, 90915305, 1065207861, 566286894, 503171277, 966529892, 788229611, 639780378, 277519339, 890416579, 485993674, 71313328, 994640353, 304778380, 843115210, 134549398, 232140779, 185356367, 606268003, 124085503, 897687243, 670175999, 709186986, 632090694, 512241557, 1071009294, 752762573, 294177866, 164702808, 12961928, 842294542, 52871758, 873359320, 1062860755, 339529800, 218113437, 984882135, 419258730, 676535348, 738329003, 807472493, 561847272, 219523087, 783740589, 705727133, 693714652, 692098423, 1063992181, 435183675, 685683623, 716203203, 629619815, 289099254, 887045837, 1040318774, 122472284, 704321707, 909597303, 463571620, 395347357, 917349460, 476873168, 921665109, 131333962, 96559937, 621755046, 490634250, 523517345, 642256920, 506502624, 860002946, 27540298, 303488763, 687036816, 289622585, 269602182, 301087318, 416769857, 985448278, 823836657, 1038740442, 84888780, 278350071, 996051705, 236634262, 68581656, 1071172331, 735140954, 860471795, 846808614, 138861415, 487618233, 304190195, 801312751, 902611582, 589795841, 1002191494, 312774440, 892913986, 880353765, 183771819, 78938734, 218412499, 160524962, 1053084730, 434300401, 395641951, 824021826, 740128528, 367086316, 485189267, 966677305, 566207592, 809698686, 223299584, 885721450, 546104269, 454940252, 817194696, 972248611, 437962147, 292950770, 89453250, 217341751, 411568189, 983185959, 1036716127, 441489418, 158966284, 843655874, 433530778, 493523316, 1042242039, 67337069, 379310793, 119225268, 106700668, 706257150, 903285787, 8850508, 302143481, 949360166, 158138209, 745568298, 369322600, 392787335, 971755388, 760048155, 1010510839, 609380543, 824919125, 387403467, 959095659, 884061873, 134653855, 80790090, 639302924, 162898346, 421660653, 634632884, 927735201, 268621085, 369489102, 595257146, 169887153, 193450543, 962324659, 763533058, 235481653, 323526814, 538952016, 606471602, 317131160, 388972240, 105730355, 603771506, 547776626, 588166242, 625619919, 199671385, 595896340, 735790882, 656535092, 803506803, 687259913, 75632145, 418895463, 416161130, 759317305, 953120976, 744663493, 777102292, 1054755356, 476520879, 757956690, 1039876948, 337816307, 597688135, 565275645, 792040833, 187015364, 1058659676, 137285048, 234015257, 1046857695, 666347462, 255271623, 272575106, 288324528, 18096673, 512139138, 907003241, 1031473922, 1011651022, 564314008, 674053941, 595249286, 810792110, 377956917, 1051365656, 119796579, 73953019, 1046262132, 165165512, 564768509, 401255998, 650532176, 311376607, 104926109, 500616383, 984425724, 285889617, 377902595, 662323049, 875612756, 315312223, 159851905, 666032283, 11783331, 410530011, 202532998, 289179381, 562547020, 104241850, 35750248, 331956560, 830771385, 886425173, 1037987300, 219529071, 471526831, 1015185048, 321818312, 802054708, 824065205, 568174748, 591511586, 1030181397, 784176480, 803506318, 749343162, 752809874, 462780496, 214697222, 174472580, 220915362, 1053105886, 685495182, 658596756, 779190383, 944994504, 516589393, 362097094, 1039579763, 118248574, 672395522, 13800027, 72131982, 845463999, 484091538, 329379327, 270999225, 401723020, 708399250, 431189147, 623527102, 76907338, 412508584, 289733118, 627533263, 568705594, 979318560, 429354467, 108748364, 638058685, 501502790, 418621895, 952253204, 533734973, 85810584, 456979346, 744136609, 154017087, 155665168, 26693015, 670998184, 41651113, 237929148, 784627115, 703821672, 923804949, 596471091, 729202238, 723714205, 930718705, 370530163, 20032864, 315206333, 241452915, 703149906, 396982016, 737385456, 709508742, 343610705, 331963578, 920480510, 487900862, 974247541, 126946700, 45612650, 391668251, 413185486, 570553453, 940576098, 807146593, 898121685, 333668799, 272119305, 533213728, 571846949, 27861312, 639023082, 613877197, 94408628, 519142834, 260601958, 980755267, 920977534, 742281034, 165071895, 936647113, 882203276, 85655414, 437620463, 611146439, 82809149, 961950306, 294170983, 119390381, 14179430, 874671067, 644634944, 499320422, 898784310, 554843520, 43266731, 594704483, 502070971, 319564458, 972583508, 117645381, 857671710, 849873404, 391896180, 1028184902, 818371518, 228517544, 556594274, 891610872, 569343810, 1059890952, 213034254, 589203475, 621271677, 167393533, 708322634, 168671577, 571993741, 748664753, 933462894, 691091732, 476697883, 117746484, 533593722, 94342906, 366681677, 241270101, 823224054, 277985251, 142685056, 124981513, 706514743, 281222439, 248917954, 229484297, 906549851, 458970734, 972522986, 507142902, 724352566, 1025899615, 55917698, 436397193, 160825549, 1049004799, 828527665, 82168838, 395506629, 399079700, 510919474, 122581465, 599319831, 804152511, 471185659, 213103314, 978889168, 301450066, 508110767, 806478578, 867145708, 619438617, 149572136, 404410810, 247517626, 988948293, 1021340973, 812956341, 745631561, 1038081758, 859693714, 956668403, 703507420, 611766393, 756107721, 415369048, 938820610, 625029445, 177057648, 22069506, 1047973305, 457107682, 480167629, 647886106, 239195806, 37441276, 322940188, 381930614, 818464673, 839869544, 293846233, 400998358, 33641790, 988100408, 655750927, 383158919, 387387154, 121628806, 496604196, 259056982, 623768499, 403822393, 215314681, 129024272, 182700750, 528135497, 863870797, 858299572, 836796776, 534317517, 813277918, 359386674, 1051151663, 295089085, 574349361, 1010523142, 558589628, 465800893, 1003221770, 839661226, 704361267, 47264653, 713325213, 396358017, 321019502, 334039397, 120243185, 132544074, 361608196, 443656302, 850906990, 874937570, 468992178, 642213052, 530195276, 959215164, 1033416375, 153506073, 267180124, 412823403, 195307632, 245980338, 584468114, 1059922913, 557887613, 82888696, 1015184394, 906770103, 343858748, 35229606, 342457675, 724289793, 846375428, 911029700, 732807254, 667128265, 679646442, 342530633, 894107604, 685415926, 951996051, 526158791, 234960385, 368483858, 219271040, 911069995, 32956727, 71982687, 965086239, 575396931, 397205177, 522208759, 754769191, 66038808, 104536296, 234372752, 719681666, 300217709, 291596300, 1005236943, 227759173, 492784678, 777568918, 61655736, 872916330, 330215069, 829413854, 676837891, 324697009, 327312212, 1038481288, 441744078, 552580965, 932337915, 929761085, 606413676, 390773688, 637835865, 898087342, 17001742, 747544442, 136301081, 993732408, 413625166, 209272324, 260936838, 313660390, 851841661, 499674362, 455312303, 646194210, 481537601, 590028967, 693123074, 138695183, 349435423, 626391581, 326669863, 1016632468, 182825063, 128301882, 946967132, 515220351, 545510593, 538249107, 269719234, 413045498, 622574675, 944197579, 238827705, 223932547, 788358919, 478989844, 854240461, 633228031, 846465607, 935120890, 84575097, 903240823, 323558584, 882683936, 632637064, 1003942567, 723684944, 238353695, 136662447, 273158570, 602323197, 230465133, 1022774901, 47562764, 786789997, 329090807, 546085989, 1051286172, 89266571, 36359803, 104746869, 832785774, 594184250, 509017992, 142092247, 188063559, 440757528, 127362398, 951089035, 853176350, 694130163, 336902379, 1017003677, 235270050, 109880563, 692552193, 878416024, 515378868, 667310271, 258067394, 667484678, 323844340, 630036846, 847380135, 550419894, 552311062, 344289620, 936327371, 321010268, 653595378, 832941011, 1017224527, 666818321, 434934369, 47343288, 631371228, 438381455, 900860808, 824759998, 307257672, 885231582, 645505484, 655310298, 1039476648, 301435761, 1063611572, 62685447, 80464527, 467663891, 445741173, 1069972331, 586364911, 420879831, 314117812, 100526239, 790548371, 679841485, 455376049, 853983330, 194364662, 299251928, 802706647, 797514944, 252593323, 936577618, 356542513, 480758151, 386115836, 585990794, 284539530, 203659587, 269767006, 79533369, 377325033, 930100613, 133052463, 622441822, 398444853, 578578803, 985489392, 622583476, 340151424, 100806811, 252697699, 682631581, 901240489, 605861792, 896704893, 547390831, 641805248, 885112770, 1048435289, 75938241, 970405222, 862514497, 577951686, 496092745, 494236998, 816586608, 478424512, 477946970, 596146869, 596772697, 628245048, 996326738, 198105310, 26702362, 109071593, 910569910, 888228911, 864565139, 605474372, 277346397, 523375393, 574540853, 329624296, 242878068, 777585009, 514397150, 949291446, 813956878, 211406301, 761328786, 565368418, 922969168, 109146424, 70343382, 187123987, 52075610, 330230603, 248099767, 583943987, 43182538, 348136049, 518704616, 1015624245, 52541534, 594128190, 748149500, 692906098, 1066084613, 882839394, 309420288, 208959550, 598504327, 782770764, 536000551, 881292824, 679366903, 84270299, 850300730, 1049772647, 607693419, 597189210, 746163182, 393930462, 567177697, 982756073, 195895407, 1000501095, 849095194, 360613821, 608894451, 951308211, 609159752, 654146555, 818018672, 740516997, 176131904, 576652004, 933877181, 184939627, 102506279, 101516591, 362885226, 1016228815, 873213373, 176165489, 606293272, 1028350835, 582814078, 1020809490, 254553847, 772389475, 766227874, 373942706, 435359339, 856679939, 485518357, 912696353, 34320486, 78850479, 575049779, 575967036, 735534086, 300497548, 777892790, 885745564, 306704070, 323171692, 432495763, 675445090, 824427904, 129109069, 551119137, 778171733, 785823608, 651941844, 244526473, 506856009, 389975340, 338111786, 143028616, 36247774, 393500016, 20431209, 772306252, 63486725, 438729804, 973146725, 342588940, 553519064, 214149102, 411400566, 913073297, 90981349, 106063898, 810447994, 885206617, 121493852, 400110784, 517601950, 244136624, 498522973, 594282710, 389038284, 350097464, 137289364, 77218542, 864831005, 722514872, 546266734, 259525429, 588602233, 790763590, 48592629, 10403111, 777772875, 24823706, 1073171450, 368019662, 219513835, 818894844, 260268238, 73559832, 699307739, 235574575, 986578063, 247415013, 670209721, 691503119, 178773436, 682751800, 312277863, 832552248, 74847397, 413492077, 427363637, 613524096, 678625769, 287209100, 397978782, 474865037, 786660736, 858429054, 316355314, 235286720, 429568207, 781575670, 101562102, 344929540, 212209612, 352935012, 839804793, 477650262, 582564559, 25306830, 472165444, 762092334, 717314351, 950870428, 465243053, 96629563, 80361179, 3093378, 1957666, 33642765, 109732430, 555401648, 204459261, 862952819, 170079421, 1019288651, 442295421, 129313871, 1009863003, 298973211, 367269346, 258055160, 342808147, 354544008, 874357619, 374404480, 50826608, 333769436, 122191131, 981226223, 592482879, 748604631, 724775548, 82570329, 970926768, 303257504, 234977033, 77607259, 704856217, 237359358, 821843096, 1043097660, 464303337, 712202445, 496966565, 300660310, 682596288, 423056391, 87383513, 32379821, 182472406, 203563717, 827424150, 986563504, 499214140, 825405684, 653748461, 269107647, 324932785, 387404864, 762644984, 169720812, 992156346, 345216562, 383736216, 1039585687, 73272058, 560447198, 801609755, 82327904, 596849128, 933007412, 788299453, 210401679, 631969567, 149935184, 482364006, 47625986, 184147116, 873783891, 479419151, 907717813, 499386351, 264432752, 205438083, 165886705, 917204892, 1036482879, 1067343358, 957401136, 496965831, 1065789706, 1061145626, 923138778, 674758706, 177441006, 268494361, 412041348, 945486813, 931145622, 636089283, 470134947, 756634704, 227867917, 872301113, 246253885, 215811352, 980031231, 55019941, 822571238, 292098397, 963611345, 753508413, 23183248, 808111373, 311102583, 565414068, 801147374, 120764327, 670378825, 211894833, 203110878, 412580496, 632626278, 1068094196, 527286587, 62104724, 387412547, 654523114, 967008101, 154009507, 974420648, 103217989, 1065536622, 905855250, 695491464, 866818476, 690366857, 835360581, 842142110, 418559278, 484192317, 968187823, 504433969, 895991568, 164106712, 206154102, 252535624, 842291077, 31236136, 566669709, 527581083, 945945137, 1050593948, 568147762, 470650115, 1061160887, 803167558, 758438693, 310584317, 806943086, 584347914, 920054489, 853862332, 1031351098, 928594165, 117802981, 322297974, 839087481, 778238033, 873386197, 336144954, 947830531, 921528818, 913131706, 660686399, 147199149, 396025064, 387063538, 955880539, 329635031, 54261608, 438836115, 815651901, 618135654, 271971239, 228078812, 182133147, 779993129, 311160597, 591260531, 274480750, 1001478778, 515623063, 1002701086, 675639944, 883756865, 1043964215, 248637148, 665855354, 390018481, 686130242, 431781602, 662422936, 739650216, 25970045, 800594465, 163072570, 353563421, 135111712, 542602009, 738856494, 51238940, 653278546, 205603353, 1010572517, 1046120311, 411610313, 328545893, 144590677, 587452735, 1059812931, 1005332147, 621228399, 531655457, 722656565, 140024015, 724391641, 384160898, 597075501, 327906411, 765842843, 809226971, 414590800, 320450428, 551183338, 287579911, 304919248, 268634176, 293738507, 190775879, 526678656, 38171082, 72075958, 895120662, 798108738, 383029682, 283083628, 743653977, 641037457, 808476559, 664229449, 727846800, 190580933, 1063907780, 911362712, 1013717839, 290799280, 590109403, 26910180, 620267112, 332277845, 345473727, 382296181, 93479591, 873175863, 986493524, 168058455, 33205604, 347189624, 120027403, 551027683, 1032504143, 491220647, 652807044, 770104384, 103755174, 317867667, 998111727, 298410196, 552398990, 852932297, 729094451, 841982393, 763844372, 509000797, 44364263, 658418865, 949898410, 1014424627, 747035177, 430519592, 431105098, 837336681, 315778233, 853903026, 747425654, 918054706, 601005624, 749429453, 388530983, 633632074, 244619747, 978508926, 562055200, 912336224, 909257212, 934817332, 119463253, 517037181, 812663308, 754867588, 29603025, 554829710, 856355401, 515475360, 439100263, 115817845, 434840739, 32515137, 1071392268, 313061145, 936683762, 209488353, 671709489, 31246269, 780403768, 689173315, 562234421, 589579962, 954784408, 700563876, 397694307, 202534852, 625729891, 899987858, 118755682, 132541127, 374783833, 915789950, 688545744, 300346187, 1061392849, 820563022, 709240821, 416516319, 208697279, 433580198, 29451674, 1042803826, 255151114, 201227113, 953407403, 152535832, 989182847, 60442620, 728362996, 50043854, 566318981, 703489259, 772587797, 462097140, 10999976, 62986276, 932473505, 80104914, 533492961, 573096965, 89540315, 31416118, 301580294, 1066634070, 202013054, 624694819, 879274017, 3908820, 753693577, 753910728, 789707728, 893617695, 795566266, 347956250, 22117986, 351608211, 592103060, 879858041, 205137698, 431277867, 120836229, 665615643, 659800914, 657123098, 1045927827, 426046905, 888302748, 303204287, 675665875, 788196642, 843031525, 882986365, 23524878, 709752047, 1004751389, 385022132, 1004192152, 598999759, 276747632, 644551494, 7914755, 152866258, 839666846, 858484926, 236047983, 707743796, 1016816983, 563848824, 905883868, 455751160, 111303887, 859528059, 1070169364, 671051096, 670204604, 822517078, 887998114, 5128710, 293038935, 255619251, 825254690, 537939345, 950573930, 172999574, 988981176, 915251844, 640145623, 727701925, 428499228, 560035391, 1069033658, 564355368, 365517832, 10406575, 245496937, 726906371, 248508103, 757793818, 779067204, 573307014, 625751778, 121372447, 229116851, 66810900, 730669247, 25317716, 302114615, 862155845, 651030816, 462565027, 963044779, 1067363501, 751384968, 269040243, 696008274, 646591397, 1017215276, 449317375, 905091422, 98587968, 133121835, 680564995, 175607879, 270737364, 401908405, 6792469, 619244041, 732291976, 73610873, 399975408, 1064539343, 1020014526, 331073231, 216664193, 977735555, 73682282, 624592545, 235721422, 671429985, 781837097, 929503241, 578524303, 621241451, 201405282, 264305570, 572724861, 846498645, 92516417, 549920164, 377713093, 330436917, 192901211, 546685734, 354092010, 683794715, 999468440, 150012651, 844705197, 1037772080, 37493424, 311993961, 899976228, 265349458, 808524784, 834575419, 977096408, 687005490, 35807282, 243815800, 77281579, 145419838, 127030105, 535583352, 1025361502, 1005264427, 119884606, 398019341, 769695140, 294844702, 430010084, 200535673, 855294465, 228846465, 314415566, 125893884, 325332969, 26181014, 40562917, 3405202, 486262287, 72315747, 609297214, 53590749, 590395773, 914731075, 1058863102, 292726953, 488340899, 486324978, 669752206, 446675960, 818513221, 431104114, 74840425, 308409646, 157013156, 839138309, 843380990, 658453460, 956891589, 327738737, 330306981, 935289078, 704365390, 68565114, 948512980, 729003125, 378230581, 906420707, 191345626, 499631912, 164341004, 555679403, 991233959, 112148412, 13171246, 657804758, 216097062, 857514572, 1002058885, 328882478, 165955333, 831996391, 348420435, 459923707, 430981118, 166506866, 285882611, 94328398, 990066700, 338553813, 634275873, 671830526, 575649243, 952357522, 965704725, 888992315, 1064876705, 156498391, 236449029, 940877739, 635755228, 944084561, 85623733, 100278340, 248717973, 860991646, 622568992, 397570975, 443566522, 982856417, 589392807, 284199637, 880302988, 597870625, 174792861, 245648351, 920622952, 94276193, 589211999, 486193751, 155785693, 416483969, 549550940, 430811287, 151513626, 434887685, 822051225, 874935211, 838928307, 86512458, 165027400, 192275292, 260693350, 916415740, 177771207, 669841347, 755085095, 254420639, 741188402, 188266810, 950324832, 822450786, 320085634, 880639048, 1015237709, 716272682, 951188918, 959539199, 234181393, 548479533, 240225615, 590654871, 949332480, 224464946, 15347303, 97367344, 990351133, 766232067, 16394235, 930842058, 277088768, 442311002, 1060126837, 889725424, 250920354, 721030644, 21140493, 966125074, 885489298, 538646966, 58873766, 706375475, 150122297, 950759640, 521373550, 8957442, 235308732, 133450399, 709495935, 828908389, 347882658, 302055870, 147372136, 989565049, 687780083, 238669005, 141562707, 171379343, 946897778, 133288811, 549757364, 377117303, 420021964, 807411661, 284806413, 161038732, 27069466, 798463311, 906344262, 662033307, 912120250, 181335612, 864708964, 467196497, 733256683, 537861779, 310102893, 585121586, 228733065, 180613270, 766086037, 198198885, 363526094, 989847819, 310004422, 513997769, 256911781, 829633196, 253013317, 550351464, 831032352, 749092813, 257209316, 153761338, 316338033, 283050110, 983134341, 918959277, 73336102, 838989348, 316266171, 1000868421, 262688090, 964992282, 262154031, 376363227, 675204393, 995428169, 424759542, 151606009, 525417032, 13806097, 472470226, 996199091, 317112100, 198873790, 698137209, 284011960, 108144875, 315430053, 92598296, 971717797, 818445458, 408193077, 66640245, 1022485862, 700203980, 219121963, 631923590, 97734795, 540424040, 1061164571, 786215941, 644534882, 63988235, 41524528, 446615334, 91681977, 618486161, 759659329, 351234854, 1008795059, 370176163, 311599068, 178313514, 204356528, 648655998, 10147521, 83242311, 511183236, 155198050, 699310455, 358155560, 182247419, 149295496, 1057833685, 417371091, 573373089, 594908900, 901099977, 983225280, 329242366, 67225039, 385730581, 467945305, 432277828, 975964788, 737815909, 678549082, 113692400, 472905556, 201773487, 952912842, 328492972, 393893512, 80509027, 927581586, 88879893, 593363107, 1043009045, 377917575, 907315048, 719834439, 610327154, 1055194045, 183073775, 163019486, 246798308, 165452583, 280014488, 216043648, 769060396, 284551888, 831491594, 848172000, 406515831, 466940223, 899799432, 485489867, 922403046, 374792409, 899249300, 351123143, 34102896, 869118802, 660447118, 1060170692, 621358601, 104150153, 107790298, 18424065, 618111062, 78807923, 625888557, 957613503, 933024338, 733764838, 781820807, 143914649, 616063492, 313998536, 150438913, 5545761, 606728364, 699949409, 942520134, 638776748, 397917358, 639944346, 968814434, 127340037, 704556562, 816633780, 10293489, 229344989, 843827847, 1025978593, 238860953, 72890861, 284013243, 42166167, 828113295, 981749288, 557009166, 602699876, 190776913, 69821617, 1016792042, 216398482, 1045114066, 1017513229, 733240530, 201002327, 588210786, 953930626, 442646937, 617945317, 780659725, 876606417, 844872620, 923453882, 706427393, 699000981, 22636350, 450884498, 299335311, 392421877, 70488526, 1028841694, 193305125, 777999612, 709721223, 175307437, 976536794, 534565345, 997969436, 64822015, 9105295, 410200603, 688457153, 122192590, 298455617, 1068462047, 90935368, 1032610497, 558582864, 1058709373, 801517384, 335692359, 23877067, 827338372, 394777777, 701842267, 218795079, 555889945, 373506629, 961115551, 830558746, 986385219, 923642749, 165471987, 921389304, 218233098, 798698467, 552168906, 348629088, 547008683, 680121332, 867735932, 131732264, 370645204, 226741918, 260630302, 312165075, 817176694, 420241401, 1035118299, 242327966, 583721222, 540975159, 257628816, 118182716, 408598661, 686500884, 248699085, 1050714857, 232438766, 194153976, 430420201, 227544154, 402224915, 744633254, 1071255652, 882523458, 954374703, 507874820, 956155746, 923728770, 605090643, 677259566, 457341190, 305669441, 1061167428, 583319922, 139263478, 697577218, 41753674, 538971102, 485105510, 939375959, 877581822, 1038520728, 62789328, 614447394, 373327409, 665944486, 507678299, 108474618, 350430840, 408267797, 302895252, 358466832, 749236017, 523279558, 328503452, 680015517, 19205056, 781469390, 381484143, 532678196, 623282863, 140077590, 947360144, 864914423, 381915575, 762472310, 33711137, 744460128, 662787028, 1058317504, 269603010, 662012201, 315229992, 558049365, 35724396, 718378279, 103083990, 672089627, 707502488, 704768846, 773139530, 706474896, 249450143, 957030104, 977678029, 938803004, 927579268, 89283526, 759348388, 318128522, 246789285, 709108450, 861657974, 118032649, 443791817, 299213787, 961861412, 957005536, 120540250, 786610634, 562009232, 669004650, 363411916, 777735718, 848540377, 327406158, 1057392854, 974535233, 1020828507, 163875080, 27026364, 1024563059, 979955294, 576790857, 542552664, 866365304, 874214661, 605240212, 479927968, 644069126, 979155550, 340441971, 666916843, 248531951, 684418364, 1058584045, 264563151, 799295869, 447917104, 950360824, 753241739, 317842970, 736794038, 603517230, 456755980, 154570492, 884692645, 174065840, 439204531, 931814832, 261992962, 334842663, 784545631, 1000630826, 915376507, 846246787, 521114777, 382044544, 968490299, 61336429, 325512688, 456232256, 837220709, 129216778, 878349978, 661185132, 266731932, 757752766, 19633896, 816404526, 49398896, 51160623, 206474705, 940880317, 383047794, 472596772, 394805822, 414740792, 1053432014, 336273212, 1030267818, 508879601, 865114063, 459778340, 283999874, 798135087, 778134120, 981376274, 28371788, 487124145, 800283759, 363933913, 1031732485, 971989725, 232936437, 904467588, 276072201, 199277278, 118492091, 185262787, 965840543, 569641767, 651018463, 282839484, 228534840, 552785397, 944989430, 795683896, 22727983, 623443367, 39185078, 823211784, 843137210, 416051220, 245722052, 358563041, 68006471, 402881999, 587697964, 426520233, 820816759, 1055482656, 44120313, 381361888, 666357721, 894118116, 883107224, 1013685436, 441625791, 602939438, 196861511, 663975145, 410433790, 481157676, 60561292, 801887892, 175887267, 706860362, 680100199, 286659946, 829547894, 1063948112, 307860385, 529005424, 483629990, 214419600, 130426819, 642836782, 378584345, 447495045, 877265316, 289303056, 21410604, 936898437, 162201639, 695261443, 623951419, 100163525, 1047084301, 581703374, 614459170, 664370352, 3151715, 387348424, 405943172, 172391656, 806582504, 359650865, 492872477, 69377687, 704662995, 436103305, 1053137035, 65698765, 48643088, 202702641, 465944923, 113654267, 658820807, 1024796561, 789271743, 1061205846, 750143178, 381390926, 454134473, 620939348, 245716554, 855067919, 471627741, 726315452, 210006895, 765950340, 214119783, 24022075, 570716860, 1026115543, 494381063, 327481158, 425832710, 764792839, 523988257, 330562672, 766180102, 714932361, 1023118365, 8360804, 274423288, 559251172, 62242827, 559683343, 119902109, 662564809, 941156799, 381680053, 754992094, 311584291, 267246421, 319710149, 36661046, 105492776, 613350597, 396891787, 629136076, 409725711, 1049146017, 597414246, 922275073, 877448654, 632309503, 134337815, 949567295, 821731274, 959984262, 315138827, 299940237, 104486836, 710917946, 681867519, 236646059, 313382739, 832211322, 407305804, 200911303, 339434082, 597851038, 53119131, 155679030, 813486216, 715109308, 350660307, 635100442, 598284153, 186778915, 951195798, 321548434, 574727605, 959516380, 881047938, 1042906372, 159196771, 732837914, 136743552, 599066934, 1060711668, 434408199, 654025809, 501783964, 523781660, 335584879, 585876840, 759165403, 941568835, 358726008, 928067449, 1015535720, 1023668657, 13943702, 542484143, 71722503, 321285959, 219284763, 113917583, 438316671, 594722815, 777263975, 348107025, 620684447, 789667195, 258505394, 7447587, 787018246, 259147150, 765975540, 735879202, 299252644, 778248247, 585677216, 752791367, 1041407970, 110547029, 246768794, 782264449, 978692162, 295197098, 435170317, 1051160562, 689977780, 686216375, 128193058, 29922081, 584812319, 290915101, 722716313, 393717949, 357402163, 567934694, 590399326, 232390568, 472619878, 995321972, 395458546, 974767690, 34584800, 320129600, 802330078, 422810314, 610826165, 967181685, 174999143, 260131392, 693203008, 323694855, 931051324, 57350018, 865942325, 664628158, 558838146, 750347285, 438499063, 961331947, 593053589, 53636455, 564604286, 581400396, 286620698, 173644378, 305614360, 593900708, 679069793, 1073549689, 129444135, 457837723, 737101159, 692282324, 353751138, 621942646, 495376664, 74328631, 274646811, 201190222, 807433129, 1014261376, 569952231, 360231015, 688748267, 582914131, 592507027, 197474885, 146160341, 726369628, 145946803, 676195761, 679334186, 194953761, 893449124, 470435062, 840895009, 246264370, 803559819, 36781598, 68488997, 838406178, 4072337, 503384129, 388843899, 929852504, 113307514, 160843338, 6082502, 505334043, 631288966, 788956190, 254642216, 600715752, 1012503217, 898060581, 311989961, 813178594, 851746889, 552878875, 210410669, 554437646, 374131121, 1002534772, 1015214071, 72362737, 358679945, 810413634, 606719849, 913395896, 659058692, 311617417, 277567945, 727833255, 474901730, 251877384, 680615555, 476332469, 543957166, 769324037, 684070097, 590265697, 935709080, 343112525, 811085158, 449104828, 956552883, 742349622, 933320256, 63563831, 502816538, 846636372, 946516764, 221447710, 87492841, 977296692, 197900832, 11813685, 581011139, 835220192, 771760603, 457130697, 808388246, 841592341, 866068154, 354548782, 108893378, 1035617788, 166921983, 774806082, 80251935, 160231954, 958536219, 200581246, 979618348, 117110538, 969073944, 128536345, 1016899224, 609679376, 953725962, 375099336, 350189744, 472869543, 381436985, 67332742, 319449645, 922763659, 772097605, 324394070, 1014345834, 948370737, 240758811, 1049277092, 1005156075, 866315986, 184904942, 47393135, 808366633, 103883464, 776459660, 519614771, 664283297, 951629671, 91355780, 866763897, 132404119, 188702895, 91585017, 630187663, 650545292, 304882853, 356427858, 613285815, 641790964, 979141290, 814805840, 970146133, 753168841, 852560148, 590370457, 46383699, 1027355660, 824372097, 138730381, 671640759, 1014671571, 766446773, 760078968, 779765334, 231634697, 780451812, 385086614, 715316426, 260145810, 142403160, 212021927, 501683341, 504772423, 223975647, 774412208, 452547404, 353058140, 966164594, 979702682, 284259639, 170221743, 958695859, 227417490, 493866271, 1044814656, 430470425, 281477037, 737338914, 412939993, 709005041, 135220114, 683339312, 371193307, 531698768, 591739524, 1059489551, 395143739, 574814850, 228961499, 944588205, 962601049, 553550957, 57906023, 60823871, 729152529, 845682760, 215526204, 766076655, 850901523, 735609647, 656381403, 487446904, 470291388, 868021881, 111705483, 776618298, 835805411, 647878303, 400647202, 299512044, 699640056, 356594583, 81583178, 601519051, 860636231, 170332065, 418899415, 703374673, 786606113, 911356508, 291663834, 146965533, 370402978, 372247438, 513792083, 894247140, 749512138, 890004516, 449447119, 1073382863, 374242725, 477325222, 43680753, 912560704, 374977571, 317992821, 976935673, 258324551, 608894702, 537370302, 896407432, 481428737, 833124962, 775288036, 19471351, 518967288, 83596001, 795811262, 420592447, 452783485, 556878156, 581761002, 643034186, 438883363, 138862475, 867716372, 419022001, 274209684, 830210783, 534137662, 215579807, 746134443, 20959871, 321532822, 353757791, 500512071, 27351848, 1073446052, 799254950, 100719436, 803248605, 262954345, 500743429, 967705152, 863229787, 919928187, 745334617, 257105022, 606423950, 108102025, 136406847, 437260787, 587580707, 914740091, 139427047, 864215906, 63503288, 358421800, 359555286, 1033036913, 378344677, 479961887, 424197467, 792829472, 395003139, 443769864, 824334477, 306742252, 486465338, 411023690, 291945466, 569029639, 540784258, 200205378, 805018347, 245416865, 76113950, 505503516, 1002785807, 439808827, 212868688, 2782181, 117400718, 407020254, 663301839, 700278177, 411170757, 610556544, 399184635, 439772526, 127264823, 959652832, 375671581, 63873313, 582075593, 651207209, 998509440, 123497011, 988874489, 409010687, 857884165, 623241363, 1002990517, 181482861, 1032246913, 512154405, 125264657, 186678660, 594945096, 891559698, 851439789, 850274534, 679072902, 543443097, 976177314, 189939009, 817042846, 337289743, 702926849, 54572121, 379592946, 755707172, 757392594, 897956645, 679553208, 763674852, 481272347, 1073324199, 259033598, 4518061, 1005903841, 909686010, 717664844, 911185067, 192957199, 552791404, 199170793, 135878199, 296942399, 334219397, 140162699, 796803480, 502446140, 52033836, 1037013201, 299403249, 392511857, 508410492, 584790, 501493623, 899848960, 429241530, 238330282, 722185223, 789484053, 807148782, 331974784, 379945772, 1072978277, 466860529, 342643526, 803113012, 638699329, 392617937, 275964463, 897899038, 444199093, 888673364, 557083961, 790977498, 912684762, 1054775605, 190217737, 550316754, 392844048, 42088332, 484767433, 300488425, 787310348, 363673596, 813677301, 685990922, 180323656, 139192326, 1047565329, 484792832, 1031948738, 468886977, 992537348, 1052883400, 209810811, 279588700, 893838938, 218394416, 968835960, 222330486, 917399233, 330297661, 374980708, 706173785, 631130295, 504203462, 733573145, 285519586, 280257457, 226053994, 912204142, 617557274, 1040685354, 1000809812, 421826006, 757980300, 999262028, 545350256, 516393713, 718610415, 1050779995, 900876208, 423178823, 259872652, 245100286, 894396667, 715055208, 148123628, 761477831, 55633110, 311069407, 831855343, 511762737, 676094135, 874795701, 540940193, 386372058, 780149143, 665758842, 1069873699, 955120391, 188965221, 517647439, 801308413, 1028873891, 108704211, 826576310, 528247771, 979591648, 430903698, 366005693, 525505489, 708425139, 500483255, 543974793, 615073069, 569218076, 662723988, 326360647, 751068718, 940387975, 964223809, 406930496, 468279042, 822650278, 584565898, 986195956, 242760798, 574409393, 512783161, 687549761, 327987556, 458110922, 434662929, 602537699, 880752543, 936468602, 9158912, 775461637, 1003505747, 486368056, 75815178, 770586259, 806436722, 956616206, 503880414, 407722880, 230875965, 795867816, 1001251225, 269569393, 893987097, 329071087, 686651199, 704253090, 220660589, 521466126, 103820435, 816921747, 688755104, 602894894, 21253697, 513401246, 897805818, 425697711, 961727809, 618926925, 769803904, 868237095, 119135749, 646293975, 782008830, 820781866, 779974046, 442291018, 706588593, 245040674, 436708128, 389487971, 199314025, 394311982, 236440326, 176477592, 767495011, 242282985, 848723641, 495386752, 911256930, 691173335, 291952757, 478389149, 1070548389, 466565741, 666104530, 933510479, 315106155, 935281321, 242204387, 191679081, 606265876, 643563683, 154336043, 125296268, 1034610642, 212486302, 988416244, 955822340, 504788606, 827749561, 294346097, 194515785, 279621127, 634767964, 411582305, 735386897, 911572774, 969347056, 43618036, 560943966, 893751857, 306346098, 460236000, 869925074, 864899529, 835760632, 216601008, 420599606, 814471868, 1064504324, 484415967, 125194711, 550359672, 209351688, 410949643, 429181089, 423578637, 1025354562, 992543141, 896957229, 960628474, 1073087935, 222590450, 278561706, 343586294, 1062180468, 809952019, 46061897, 537378666, 721233004, 756860068, 259747332, 1031180273, 800894742, 548882228, 545911678, 9313599, 393529221, 5703228, 282494470, 341107842, 750867318, 989268111, 871450313, 585990212, 583534616, 23275978, 330604935, 157070475, 290249708, 313475966, 785731810, 289218928, 668914537, 173206493, 245449034, 660911217, 600646954, 299121781, 694447012, 703152222, 796359613, 258976950, 690076401, 751101663, 503591027, 255540864, 305907359, 658687808, 160883763, 554610554, 331101547, 882212568, 664370776, 1045672372, 483592255, 491636052, 780405051, 399348498, 693124162, 238988628, 69221506, 189572007, 632863198, 471256476, 673943223, 1007852480, 982041344, 950160463, 451954271, 656293674, 642421098, 946691518, 736942899, 5549707, 226504222, 163800366, 342125476, 386703396, 272901011, 491355983, 516182463, 751313582, 446185464, 993971333, 713510150, 885466847, 323940734, 629317660, 652020086, 270692268, 870630905, 371158610, 447290555, 192020913, 675191231, 108507264, 300296777, 80375443, 31940343, 782809534, 869772452, 120985845, 950184671, 1041934379, 392532266, 614636860, 67371485, 1020821353, 781999351, 1012639788, 881708396, 893579477, 472186943, 43298927, 85687800, 141113211, 110172637, 307243074, 746151268, 118872848, 660756070, 860441763, 400688486, 362635978, 695773239, 932925924, 779175330, 193743668, 599469129, 340350822, 176477148, 1045755590, 490426420, 248214047, 918470711, 128432240, 32332439, 552846823, 407748066, 42622859, 1063159029, 1025184856, 727223446, 353796576, 593378756, 1023348738, 770347564, 368403241, 898320005, 746419629, 1024621616, 150022544, 318021831, 551097834, 896422362, 711518366, 653551680, 585270018, 1001540830, 47449238, 64401897, 393543981, 346455280, 520525117, 687407527, 656266358, 526435875, 145462573, 908478813, 393041061, 516965413, 425868610, 752841082, 7887545, 1062560397, 712136347, 1034911301, 913972118, 721002469, 269486608, 472631064, 8181818, 1002781880, 920763139, 872271667, 932363071, 337163339, 360745426, 140466304, 475935712, 504746090, 509913629, 569300576, 208526006, 1038318824, 244647084, 442074338, 157566101, 264603154, 817621188, 191920352, 551835323, 757560085, 506001259, 479417002, 59978442, 188060407, 802785608, 566325697, 318612280, 868950779, 489190275, 23253028, 437341872, 386133421, 887196861, 27666490, 56553511, 640835135, 450360854, 554075043, 903833255, 833769101, 669752920, 218585035, 70231737, 926478496, 466634500, 183926844, 1020518658, 959390218, 993423281, 136373300, 167041857, 323123837, 820540170, 283926894, 128370183, 227893542, 868119782, 200803348, 589100704, 318083275, 568090892, 1045513890, 455375909, 803709860, 595744171, 638019269, 1020575327, 1043571524, 613529310, 957828754, 252893349, 26799000, 807343877, 675628234, 758397515, 22518075, 747607004, 347347910, 33022348, 303962257, 93807280, 470417778, 439047422, 494528457, 335831657, 713613294, 66336741, 269224237, 899529356, 230684655, 935075556, 708150211, 514724363, 977505112, 431625393, 690724316, 556693487, 591400028, 563467334, 466497945, 947925550, 683373428, 578803941, 397046645, 115175157, 855380635, 564434733, 725185104, 282644202, 5396848, 848713092, 334883047, 332233049, 626655695, 326757730, 812878731, 1002439406, 332529823, 695143694, 458044804, 620701110, 678131702, 923191125, 704268192, 724387157, 157484778, 704258035, 811643564, 1064763045, 582363804, 212953856, 478787795, 194887270, 166912636, 1004590755, 396330701, 545852393, 366922357, 788446920, 903453642, 71811292, 958189787, 454246455, 169947134, 429120962, 144103062, 968596876, 483775528, 381626385, 235553857, 978427616, 803049759, 789233578, 196833475, 353585665, 929382125, 141492369, 420357085, 82729880, 925613822, 981026805, 467099037, 115601918, 320900240, 822802228, 1047075008, 303641845, 593018665, 995436343, 791569733, 448915436, 339629244, 208713010, 1069844657, 941009236, 263696149, 242541405, 185635174, 57634834, 62613680, 748076266, 522416363, 702260673, 404847486, 805278395, 599028602, 367078023, 404089086, 171807047, 310808677, 154520418, 786190983, 1053215403, 320908712, 645541359, 797092579, 872595979, 1037903226, 1052873632, 246257258, 614690945, 59420934, 692388636, 563877622, 660653585, 539440328, 110124774, 120586869, 358814515, 487449115, 102202949, 799495003, 363183808, 149196775, 958804881, 65685065, 55849836, 962612304, 524734629, 125966418, 259667614, 41721211, 713780359, 1048990520, 735278530, 125847118, 797032578, 769398932, 204680166, 828729249, 429071212, 499109177, 24589464, 342316749, 705130567, 7599191, 124009297, 605047568, 157376226, 561668252, 250329978, 120773097, 562638102, 970984454, 780789134, 923792785, 562302803, 329357659, 916369943, 260064538, 141210133, 866163589, 625373598, 779457128, 406745970, 503766028, 896596411, 540397723, 898328594, 258624037, 328464961, 813718701, 41828091, 867745721, 868161036, 51129066, 613379447, 260204111, 379808222, 768747956, 269913928, 439072120, 71811886, 950723002, 286585210, 384988845, 489822130, 299743884, 129992036, 117190547, 400313598, 880607326, 859957726, 277092383, 28091655, 980625787, 861625195, 492467077, 116060267, 969906151, 591836997, 496227488, 246795902, 358401538, 5637651, 709896818, 151511784, 511272999, 77880424, 328440304, 33204561, 998751133, 61592169, 634497720, 792177620, 129475297, 789017207, 1042758204, 42793106, 603569691, 60687820, 497823212, 1059578835, 518199024, 407181616, 1040315369, 165481002, 1024624369, 1011210768, 91880232, 269702872, 514949074, 185670668, 1047283265, 1059289674, 554404924, 1026815746, 947843687, 985537008, 274748090, 200433731, 421689242, 77266557, 137754928, 858162134, 319066794, 599197782, 672902208, 876538395, 593584729, 954681513, 560142677, 558002065, 564515256, 214362917, 870902104, 447510796, 870111381, 261065103, 269913214, 546953560, 1036710490, 513122860, 1028515471, 458035777, 964751296, 711328115, 223604757, 249763791, 970591979, 789030496, 419931935, 905040616, 156660908, 1032408305, 1032008973, 628250350, 972873421, 243260787, 509542853, 768972917, 157908571, 796004702, 214055822, 818203778, 918059242, 1010692381, 907972369, 594046861, 740323952, 961394300, 134967741, 300539492, 866882403, 814626483, 5624410, 861740861, 272209600, 25318269, 25644444, 816824928, 713405347, 545116701, 615392734, 566028753, 479377499, 72524596, 90940345, 104505635, 555005252, 719563748, 967439869, 529812840, 889679078, 847762202, 1053719213, 835179930, 309047482, 471294502, 699986844, 416834661, 377089343, 193530703, 929794430, 169551940, 716037063, 627406446, 534527486, 579672111, 360811890, 1041593218, 685735411, 212493011, 112763075, 753959400, 166751530, 26021246, 443812992, 383580657, 613290064, 830770635, 334493459, 543807742, 727574771, 492915160, 89151631, 619014350, 253819266, 231006561, 9579490, 670102414, 204142363, 8625031, 569680797, 341428378, 86905705, 566853752, 618505354, 893994008, 961381215, 826322610, 227266122, 332368042, 604516779, 28915398, 888330878, 1044063557, 373637917, 789334281, 199196609, 337877624, 150676513, 744045554, 117778767, 543335753, 845034983, 729252144, 614994009, 557805361, 238024917, 633872075, 393958604, 48652496, 724760180, 396318303, 370981768, 269094416, 413171775, 652673043, 381721763, 878011977, 771840746, 323771953, 345174966, 855700871, 421455570, 622343398, 182164864, 332515767, 445679102, 702911566, 986413123, 49558964, 229568524, 608164711, 1055065262, 969298443, 1068794767, 263659416, 664088649, 322782523, 975966630, 495340068, 388882397, 444294385, 143735050, 549903601, 761611068, 854258576, 417697595, 795317739, 754659779, 45572263, 737223241, 335861245, 794636231, 59917955, 1025683507, 160128395, 37728381, 726088767, 378125488, 768080410, 741218548, 694018196, 519550703, 873529750, 1027823121, 983711563, 200497402, 212878859, 655158396, 263697098, 829827160, 60844672, 571931087, 848078709, 255182352, 315312289, 418794382, 760340224, 92728375, 593912015, 255727898, 965062826, 741593775, 786715439, 33305562, 1014860332, 286544589, 273526885, 589130915, 712286676, 211635277, 345451232, 274025094, 177101533, 965774431, 339705416, 348717186, 478579728, 420027997, 333754255, 693666025, 596683907, 595950654, 910681307, 655353195, 405646025, 40080522, 901738624, 150829589, 1041095473, 465682869, 871295300, 628778437, 1037692891, 331749306, 910499834, 383482225, 539338861, 331325700, 867376443, 489555931, 1012251461, 195597685, 799108907, 836828443, 249409039, 876793285, 25649710, 821876116, 1010937347, 929932899, 138631828, 627966882, 896896551, 852496758, 413341605, 139491630, 451478886, 625118523, 206300753, 877219108, 736247000, 374305427, 188951081, 162824461, 537936197, 599494272, 102142404, 725891172, 456947806, 427948914, 703738398, 394995802, 196345596, 368196493, 713899492, 74478784, 773446364, 426242131, 828900525, 342149639, 246628059, 714248744, 69989912, 993808584, 595809652, 1016084408, 28477360, 276545655, 405386790, 435858466, 192928939, 869111461, 316722148, 315796197, 86566453, 131562929, 862723014, 230501663, 1060148637, 814629521, 361934944, 3945969, 685070191, 442644338, 907895718, 508832903, 543522769, 278675114, 564320831, 629652491, 697973489, 851916071, 445802676, 586519833, 646302731, 881256701, 510373145, 760214206, 540341720, 202268070, 95659681, 1071828095, 748166269, 413217790, 744196102, 511136694, 402380150, 828399815, 221402917, 328846603, 903830763, 503542082, 134015237, 85708516, 555945555, 651562204, 430264099, 212985979, 462650110, 555008798, 767708875, 914760903, 168573708, 79249033, 718339052, 600215781, 66776424, 349569107, 642480302, 283678245, 937976231, 205995330, 958067838, 132295055, 284504520, 443173295, 949607687, 692194439, 734307729, 802729105, 864940190, 183152600, 44101719, 87178298, 1042723687, 742241349, 82544874, 22246657, 308397379, 20002784, 439683332, 913708154, 764262595, 800707121, 529067544, 1057488873, 854365462, 30665247, 418242700, 764959354, 482415304, 389109949, 1002043896, 31442104, 672809349, 897036842, 678207312, 639169446, 40171454, 252746144, 410569045, 926035065, 530938748, 273572758, 122734199, 526166432, 279915207, 449411930, 916638684, 738544579, 371525747, 429804779, 961643024, 750202329, 705121579, 609647564, 533311731, 576434166, 502104782, 387426540, 620428583, 43838146, 648730850, 864802868, 443715197, 753120988, 503219604, 544414034, 784978139, 31318846, 954544727, 643049036, 190926058, 504942386, 11738512, 341274576, 866023546, 466046573, 382794339, 509341318, 1058358503, 154151028, 198518356, 190520233, 656064442, 785051915, 735912861, 161181548, 853670646, 954905324, 427335222, 1040515013, 1045105136, 126697591, 217756193, 111395983, 632542250, 849855824, 745987587, 845246983, 106638555, 517245236, 321246905, 605555696, 1057677664, 992428406, 62324104, 525398450, 183348376, 385836072, 329684814, 398325509, 864865928, 118596012, 160572659, 389453768, 982503673, 510044584, 739064826, 474223179, 217945970, 773388304, 773763297, 29366726, 334694869, 880179498, 821495416, 663027427, 527863911, 760728304, 463792350, 244810215, 7673087, 398802684, 548936999, 1050652024, 963196655, 611145461, 615377630, 668777982, 238208948, 969176528, 681404573, 678708169, 495089509, 682748943, 388283416, 838009996, 103851301, 293388704, 730880694, 310630115, 618221634, 633501117, 681770382, 960853460, 209553584, 71599022, 354644414, 305651123, 854376721, 771464227, 997081313, 555789437, 424121364, 748151985, 520490767, 615204837, 438590562, 717250958, 108726915, 768903688, 410553048, 18927299, 447776081, 601761331, 1028505558, 979189753, 589010030, 201350361, 351840572, 1066535243, 301313715, 481986744, 176842857, 665009716, 1015004410, 962511228, 70882151, 297665039, 1048021055, 885374436, 618431771, 259285409, 729281096, 734672482, 258551834, 1038759278, 479445479, 644390094, 3501926, 146705588, 82542075, 489536752, 118736036, 101434726, 876102706, 860716568, 574744338, 497595680, 195169081, 622910083, 989536087, 905159917, 885978617, 675288443, 823995393, 112629985, 576998497, 36455756, 540929831, 306826791, 488301328, 771441112, 988011111, 43302944, 238569692, 838442229, 1033879959, 331783705, 590905562, 266374863, 736210407, 1029737308, 61340275, 11958420, 485160157, 975288592, 876457313, 512921279, 969396981, 1040976215, 446188017, 595413981, 770009590, 523278345, 451640995, 443760612, 32822302, 1005507739, 763343322, 798558289, 1013650753, 989564243, 811023503, 581011383, 578159673, 826433972, 535449714, 887449364, 599743176, 755306840, 399358080, 186260352, 945477677, 104159556, 675938197, 1018768367, 210887278, 789214280, 173363627, 732740423, 70335738, 386529142, 307444794, 819521459, 1030972346, 416345796, 59461259, 506775707, 261276440, 659654580, 159351606, 766753457, 137832299, 864202228, 77581287, 796728976, 957630745, 176734196, 766645486, 837490121, 105675548, 927514056, 207044543, 262154160, 333803906, 960151720, 473754898, 413936829, 508386669, 644938335, 591096211, 292423440, 814559877, 36096997, 623560014, 283546346, 934877597, 27795575, 776640295, 311773916, 627425006, 1015976176, 123860706, 350103369, 117238491, 146393592, 1001079873, 348016603, 51376571, 1010614115, 941762945, 123363364, 370024021, 838252751, 821884201, 598883816, 739916606, 589424410, 89076590, 52851668, 798818103, 325377229, 9155917, 225274567, 254496335, 766290903, 540939270, 63075334, 969417125, 466791549, 607017274, 756337200, 986513722, 666061526, 93971713, 917511848, 482166175, 454828904, 1010168627, 619556879, 637340832, 1004377429, 860122824, 935281177, 87802376, 495568938, 507251467, 152216463, 513694942, 370699073, 939787976, 684405586, 694555498, 516510357, 101607416, 569908246, 312774344, 854506683, 393683710, 472868095, 798670754, 1043792476, 366313656, 369606494, 19717717, 752426373, 138089664, 1022437313, 935704225, 180380944, 684936065, 149247891, 390409955, 643962837, 1026378656, 230433905, 344741346, 979395082, 624974817, 472113574, 573935570, 942973448, 938339622, 632195861, 192571429, 910520398, 1045134450, 443259639, 149038917, 796393671, 726459346, 1009100629, 643387258, 282004843, 925908755, 544620604, 834569462, 612207774, 1038255801, 764007991, 1068066333, 478563944, 622555193, 990627155, 335833191, 822387254, 598332218, 849854894, 329964032, 510652955, 624101097, 332768973, 86119486, 1001387126, 234901995, 89221489, 485460393, 1022424704, 665491526, 648323099, 480950848, 185516811, 557491039, 755037182, 821683508, 739281372, 740015958, 540340068, 892008856, 146576824, 641104627, 947532161, 434019122, 397583911, 190679629, 580277024, 312733983, 595957898, 1029594214, 978800264, 892573034, 539851133, 914811876, 247343477, 107489102, 261434508, 732488418, 761821068, 847406322, 1063035098, 854622547, 388936128, 51997004, 924066421, 547278651, 885601776, 675986660, 679869798, 691111553, 138277635, 825596085, 727079730, 473044856, 376120588, 839060759, 34534441, 271936135, 218702082, 54122065, 833332506, 279656962, 976508780, 883782338, 820335447, 652179728, 324770306, 727192154, 112108099, 302826315, 1052131739, 139467466, 764609068, 672876405, 583894295, 922790911, 148826781, 838590387, 472827328, 777233472, 940780065, 589028909, 310249118, 432539977, 94594227, 520116963, 230678453, 819273915, 223857219, 479537161, 702811863, 396287129, 208359898, 244620667, 883865452, 949329878, 201885963, 695352578, 569812821, 291361468, 1001782071, 193483516, 345082874, 369339000, 802431583, 787458130, 66493446, 706291365, 337963852, 108785274, 500235717, 181977602, 1024253641, 380118585, 182869003, 970668671, 626481960, 219115988, 297368405, 1036060220, 221625432, 975333336, 475144408, 423972827, 392652224, 206766320, 153113433, 105407462, 220129030, 587671695, 706758188, 851121592, 342531471, 465453058, 631156907, 254326449, 542349744, 372750243, 781029914, 977567144, 883801987, 351283827, 729815191, 77951629, 256056618, 970712665, 424888914, 148623960, 839130400, 943338061, 884488619, 1020410519, 17756649, 978557184, 55053758, 53644147, 378027016, 216753859, 130870921, 1028064704, 172193518, 8719950, 467929575, 956209254, 805948335, 614455132, 442677242, 669343280, 532425524, 57334793, 674112554, 579828120, 148282515, 51928746, 18788895, 394416102, 630324847, 629295895, 322782901, 64190146, 636405287, 649628040, 606327810, 247121650, 462766924, 831059139, 869441683, 17417199, 591547435, 1002759233, 506251049, 301996096, 954312426, 85353834, 1050658607, 850606103, 1048379012, 392370026, 293393198, 839387142, 855348815, 939069838, 47069210, 653336269, 183045202, 304028276, 98217494, 617104656, 31177099, 557668447, 371887271, 762879264, 1015056958, 691647123, 77532034, 889414577, 641129644, 949436321, 390274119, 407005950, 378210441, 1052878229, 638807304, 117361531, 40657575, 184104338, 577350634, 116612860, 262903543, 862716611, 613224271, 205745949, 987936599, 16968093, 184027366, 612002623, 1033890220, 650255595, 1050329180, 115680707, 598126882, 290459414, 878708672, 29949794, 566586306, 1021944596, 706634022, 915065538, 179801427, 780792580, 836889017, 144003615, 147979531, 983769090, 170910289, 183006811, 828241193, 388774896, 1002857117, 566672667, 33076665, 583020548, 287185834, 1036212881, 702704064, 434305538, 660738169, 960633122, 684744250, 544923158, 440723076, 463804885, 97765635, 467790105, 196652138, 1003306870, 345251022, 357422331, 403234904, 606413905, 129929133, 246186146, 981024372, 503627752, 663999175, 798328338, 541742870, 104707304, 464305320, 346384688, 239032191, 767193581, 622481502, 741843398, 984851210, 220747985, 453530520, 1032353418, 45277943, 731115516, 162140885, 257509014, 735186074, 206003580, 119214863, 845994352, 61203785, 128353946, 718528687, 467467828, 492820246, 812377397, 736162775, 173996376, 234951239, 607815284, 366701653, 290539137, 295093142, 28421503, 148956253, 983398581, 943423605, 1038515259, 485013364, 700705729, 428712351, 994879217, 492803024, 839739411, 128966790, 231343102, 883163226, 868676269, 406935379, 17700901, 878528586, 617078792, 568292573, 231783929, 925050203, 512196357, 199224769, 1056204230, 657064055, 1021589073, 272712883, 733687981, 975563048, 88621335, 793604021, 999343063, 956187095, 727373594, 758463916, 1047017497, 966516638, 1056183160, 281819780, 647094806, 915275742, 632722089, 744487302, 23241976, 57822808, 748913928, 133794087, 122446582, 506343401, 323834746, 284895924, 58023646, 563308692, 967935006, 1032393594, 995867637, 787528849, 459303890, 317649566, 837991023, 633245911, 910195080, 713184063, 181336496, 90123499, 22583721, 8795998, 494604938, 173991977, 579008054, 737151217, 1072958029, 912983557, 203417766, 624376169, 842173986, 170035384, 567003243, 58844645, 16935359, 410428909, 228187174, 5808421, 171886313, 590926833, 664757292, 880520187, 823044508, 931647653, 567416850, 910524427, 175908579, 791365784, 602162221, 726355534, 269857684, 730375392, 664160247, 274354890, 315291063, 48593611, 412081788, 854881468, 23495232, 44761087, 183091221, 794003959, 215309072, 120476984, 231945219, 742030945, 575291673, 854043202, 333626092, 416779070, 700255644, 825348415, 443550190, 211134555, 248531875, 343699554, 573982399, 584386355, 141238493, 323525133, 273264319, 137888938, 472527296, 600973173, 65257864, 1063191998, 478052457, 630271190, 624026282, 1015412613, 966562371, 624954947, 225112772, 835594342, 15019956, 76245950, 446830719, 795639112, 346852708, 1053120720, 521942156, 999094407, 1036945203, 1059145861, 315820022, 790094341, 625841318, 765110301, 187377354, 890847652, 217778637, 747952788, 243755359, 712072870, 904016244, 881966362, 105578053, 465581055, 248150229, 912954131, 372054601, 798849072, 199400896, 114037604, 164237124, 51716015, 85003768, 949150315, 1002989228, 575116726, 1011541309, 1063664542, 473616022, 15941357, 72736964, 704778909, 323498334, 589812718, 191269792, 766138602, 698381097, 160526749, 300789943, 16224458, 795752943, 809621216, 555005672, 809385212, 564637573, 868278218, 87728791, 561926052, 26409927, 463941839, 191522060, 190985274, 29308209, 796011382, 123872055, 32471835, 577895837, 834260548, 13000824, 81204470, 871232385, 671906252, 812281621, 101634180, 479617167, 606737367, 283062930, 654181719, 14476445, 437345241, 901307041, 612629834, 726661146, 126092756, 23640456, 685981115, 849463691, 202939195, 458210188, 867768238, 948835234, 1064914211, 880714493, 122010397, 355292319, 46950876, 1064943099, 476565916, 895606244, 46724581, 69493324, 120876606, 810068212, 638936024, 164394401, 353837857, 932094244, 38806790, 215508085, 817174656, 806985841, 737273112, 321766003, 773890148, 479661300, 331272990, 786202169, 1020614221, 475243399, 232154738, 1047562288, 977873254, 886000037, 768556171, 1045407634, 600767574, 289684141, 281690303, 650625388, 422652764, 279064295, 878761051, 927004055, 870824509, 751263784, 368862756, 409859443, 609560292, 90791521, 725329105, 856975628, 552259222, 1048806967, 244602652, 995492497, 69099135, 985735989, 203068685, 292524782, 650618068, 721479413, 222852294, 511739738, 1023526699, 730523891, 434003661, 888829881, 233572027, 638200757, 934062212, 692620099, 415442184, 63310731, 46151508, 734834988, 831606404, 203989433, 651039636, 679979441, 645727253, 843489727, 969159431, 627380481, 1030614323, 854720010, 569815653, 88828838, 670550419, 955570138, 1515198, 113500638, 407072575, 325636999, 535595617, 873111660, 774018551, 403982999, 488375830, 410773625, 128884132, 668841205, 625106731, 536258290, 873417145, 21441007, 746400587, 307510930, 293641103, 839963606, 885886876, 730217006, 885774687, 709038365, 248799331, 811977224, 439723104, 970759119, 719413315, 777822266, 888378115, 1048372857, 836023643, 432890630, 983655975, 956531876, 332460013, 445633226, 791040080, 678860929, 989927680, 913466579, 971383514, 1009598480, 38628457, 497789927, 264282552, 450038515, 481406307, 918538968, 173061619, 698640247, 651424926, 992364362, 300774347, 63105113, 429384934, 96873389, 133609743, 275418622, 677041909, 859753789, 320030390, 502404222, 887221187, 859585841, 325353761, 1009221525, 348207947, 938519898, 590031002, 443175411, 175930311, 437282331, 872331537, 88370380, 401454595, 534153432, 744402163, 570194749, 1032809672, 690936729, 966435965, 598443069, 321411362, 189371265, 723640043, 508362925, 457984210, 1029507824, 488348203, 1013314185, 884403854, 361614019, 254487098, 333082786, 863864555, 998107237, 294222423, 1048363567, 139206181, 144752774, 820029440, 314041168, 118505523, 409638991, 658165738, 441941024, 1048402819, 963243533, 106848189, 724770762, 734730082, 928807569, 492076195, 152401066, 195585579, 934990508, 960139204, 688183441, 873692237, 890015685, 101717330, 440741830, 903584675, 290296598, 705900327, 1046507889, 922304952, 38037260, 26878334, 472038117, 245317171, 58696204, 838580171, 451889102, 619048477, 895810385, 20043821, 548604421, 873442123, 485485661, 325827468, 958672592, 317524256, 241841156, 576245537, 93767086, 748752168, 885231441, 861315946, 201964100, 585240189, 253640128, 986215362, 902805013, 239829916, 804573131, 917035426, 867070721, 976675731, 153669898, 885363357, 650845835, 123286822, 472015436, 217788095, 70880544, 128024149, 796684579, 551721017, 150484287, 1010725305, 460402370, 470928058, 931321334, 640928702, 529219473, 744936019, 1041744143, 133709660, 463722089, 848372936, 325070075, 348745991, 951204588, 73392754, 719836435, 622888522, 566481351, 153666279, 623994603, 291399389, 1974652, 564976125, 78260087, 159687030, 916431641, 945951450, 1071763889, 180809602, 216330329, 112741965, 411360203, 761348726, 839870233, 551296214, 575317660, 606770047, 382409176, 47363309, 480206960, 351578089, 1063521758, 645456079, 796692018, 30854072, 851862148, 153889979, 195414279, 22070534, 474382722, 623357353, 1009361817, 536218663, 849063052, 958246177, 359138605, 461782484, 2995080, 93061972, 157634026, 796297899, 784926084, 497764492, 396265783, 951306660, 463650278, 381109118, 258988055, 822050256, 871374200, 1006845569, 994157454, 362780284, 612484343, 284263153, 696003934, 675227362, 216102080, 106613646, 145861980, 1048346208, 144440523, 127457279, 639726820, 831183231, 158761841, 504986464, 480737664, 481672560, 993599726, 603388678, 1051021708, 659538681, 174665829, 982773675, 118920459, 1021917499, 615771207, 825076808, 216919343, 426891141, 240653480, 965308144, 487746519, 784265264, 288586902, 372319895, 550180066, 222496512, 843397553, 878615405, 984347548, 145215590, 860611743, 673951500, 737158737, 1061513611, 685959133, 397258613, 328864303, 972180446, 324726802, 725548225, 817896804, 242830004, 818887758, 454107830, 491883733, 149726067, 715455564, 197881989, 108272887, 800051819, 492348363, 420267315, 160726545, 985152261, 605825282, 877749616, 106476192, 44763939, 243001934, 825055921, 37311837, 648674068, 884123616, 168797088, 147835578, 5493781, 676357439, 29957038, 7076968, 834521969, 1017991360, 679648620, 528341615, 853254709, 553560930, 99652529, 959176834, 749426099, 514434246, 1044941697, 923367094, 854612056, 1059092446, 149989606, 267059554, 373852628, 575947844, 857264638, 814512016, 310940900, 234441630, 871183850, 1015302255, 826833186, 89861619, 994603532, 353541919, 773312959, 441731278, 773218664, 29221542, 702554622, 619814748, 871151868, 213605497, 839911992, 28498152, 897792747, 1033741166, 680792020, 144598035, 631826535, 494025263, 907930538, 631405153, 1039140706, 972058601, 31212901, 611923365, 667742726, 660481971, 604659933, 595961214, 659352038, 175845186, 420515822, 162520538, 682813573, 871809839, 1008406862, 921378382, 51802580, 903861346, 191815359, 961070238, 1042996227, 168861789, 578545346, 106788055, 202783735, 457757650, 808122521, 838350076, 631030511, 395422310, 770520441, 231540759, 934773997, 612918134, 290205228, 767674833, 982498437, 329870716, 475738607, 977009710, 74027428, 445754459, 995816160, 157516788, 339441654, 893786303, 783004262, 628268094, 213969501, 394298386, 723647531, 524050104, 1011153846, 142079314, 597915489, 736811230, 929465521, 1056153356, 250037793, 486207534, 437109643, 107550382, 101657784, 677499018, 833723439, 66613161, 496475065, 210294838, 953254050, 74832648, 87290495, 215966969, 964995946, 637232105, 277062385, 864527981, 1065247882, 993228097, 446070819, 446093972, 962222461, 64503806, 174827016, 890048320, 940171548, 461195899, 277307678, 209136320, 328966296, 122174646, 152110618, 565729003, 334711977, 956479898, 573220684, 558708725, 109063624, 274703420, 641111398, 756951326, 993656196, 29415840, 221030009, 84367613, 233048328, 768595418, 298772887, 944753219, 593489468, 40036802, 238743445, 781605431, 229728188, 45645052, 371712949, 962219054, 611185708, 1060919734, 1063075447, 332749672, 754866641, 830173852, 117794390, 646258908, 104190760, 827445502, 474167064, 1051999121, 398408744, 72452567, 494372235, 522546615, 573873196, 618184294, 462749376, 635818293, 249617467, 595724363, 879875234, 724848462, 427434501, 672675640, 791382671, 137449486, 529663107, 709564463, 504348888, 464547130, 219604540, 777979604, 1012970536, 14023382, 675303780, 548364660, 400025988, 1013662271, 681082556, 165031226, 910609468, 939271622, 711257149, 813690203, 574622335, 440209012, 26810836, 46598527, 294408290, 466705797, 249183937, 562118144, 663434759, 624737932, 370464885, 705453761, 382427399, 344225508, 64617084, 840000362, 765303200, 1053961652, 172416426, 1059007919, 508044483, 767537965, 889936837, 155616067, 929584942, 808302005, 48647241, 105472441, 592845249, 762329984, 157096823, 394755447, 630504564, 8035730, 303258010, 607547608, 688442935, 757240622, 941593386, 153117008, 1017120113, 208923036, 648064539, 513350457, 775236175, 732023014, 345005924, 696067105, 506897537, 1035320358, 167129746, 819852651, 597369980, 823132995, 133727293, 61857673, 176782373, 17893776, 195764480, 332815125, 44896852, 578863420, 248960858, 769339023, 638635678, 799239015, 636688753, 35038556, 637591183, 315338088, 548112623, 1057633892, 142122052, 225037432, 9810971, 48708913, 623248693, 413385752, 696498756, 896620339, 1294396, 208355429, 297357973, 1005822554, 317928323, 312784723, 832669729, 60985902, 299025986, 715938584, 772200447, 350280935, 1069845470, 630669819, 948175155, 921487230, 130256503, 1014866619, 786775190, 287565279, 447171681, 317641820, 134651626, 134726754, 805318661, 571757846, 600058315, 827472564, 61758781, 41287040, 1071674970, 709431544, 781417022, 398168284, 3764325, 351385336, 345742404, 455160419, 951831907, 39269706, 952781934, 931599102, 272631822, 601527446, 382568389, 247467261, 256758912, 719840825, 654135418, 747103446, 858140979, 570860223, 525301169, 238492347, 927684075, 345511698, 351350460, 972894953, 821060379, 997766254, 54136070, 496507913, 986783139, 747568934, 1057326950, 1009919008, 198950192, 700289438, 592585933, 778783309, 206236765, 797730961, 297144094, 91518887, 826268108, 504267124, 156489573, 809860905, 596701633, 554599192, 865812688, 450346460, 727848911, 848861059, 771957823, 762630, 42030080, 180024116, 869121357, 409430800, 911579936, 392856009, 246364778, 184632715, 72220867, 78162668, 1000856705, 96744943, 343109825, 530442844, 844301982, 817932536, 930162152, 893631224, 912126553, 628386597, 679553723, 819736126, 964332511, 577686163, 256902390, 210694046, 664599836, 13572864, 609498050, 950975752, 110685311, 625675153, 1006249805, 927053012, 455863601, 163240017, 97308233, 598553621, 1035979410, 440461916, 508318879, 1048678811, 514726340, 693960031, 185887411, 183376308, 447600749, 46903753, 34889467, 327197882, 1010279000, 517567379, 27858037, 1062729902, 303858549, 308090267, 521342544, 718661086, 432288497, 617438424, 150068123, 654964986, 827933288, 805298082, 389494005, 1063869127, 1036789118, 280072361, 537214857, 259770810, 229217338, 805349922, 861926867, 905376102, 471157043, 547017095, 864787900, 1001143275, 595147955, 1035586545, 285288112, 1068986053, 802807578, 765237189, 264336311, 1044853943, 304955966, 229932443, 547173151, 493381375, 264374144, 700559173, 8438762, 1011164505, 1041701186, 876282202, 984631105, 600425903, 596957134, 336869009, 458025833, 656503046, 871645454, 719454657, 488740242, 905385804, 583059490, 1041516103, 730838985, 968617255, 1023061719, 1066505860, 375506133, 698503040, 115088777, 60546711, 666277024, 90694330, 200782251, 343558104, 78967550, 1049198980, 43611318, 208985750, 453592728, 579109763, 1050814262, 237460427, 946074983, 34741349, 111333652, 751695388, 539273955, 796478629, 290009684, 921692223, 682337457, 542160905, 936493745, 420588467, 633304284, 1010156337, 468974450, 787791681, 1016670774, 941445328, 463524501, 633564829, 164583824, 301995062, 23121794, 110978108, 168730098, 805531617, 903229821, 571580595, 75443962, 947344756, 214442622, 3209331, 719409726, 74443123, 637736097, 438543773, 661937077, 152356621, 26531721, 64971119, 753796583, 772687647, 225432078, 22022900, 792892609, 77016304, 714151046, 373740500, 1041828637, 662141317, 156787825, 327879027, 484376464, 737428853, 448129091, 899335650, 495137679, 946284964, 464691344, 467192218, 735496867, 528487659, 608686607, 763298940, 657062550, 618383100, 1066118355, 1068284646, 848432457, 730904023, 1027233617, 264195545, 834371518, 840886241, 420786665, 575983431, 475362277, 144953498, 825763177, 864036093, 73712952, 266960837, 126583990, 525480080, 501157849, 362337394, 950045737, 523266927, 891881105, 325157600, 953410503, 578279356, 1029001595, 38120980, 854371868, 532732118, 375486648, 465292020, 332601620, 273272855, 507114492, 276713540, 643514267, 603587016, 181173048, 256939408, 1024107894, 358318617, 289981769, 974076269, 402461693, 713818042, 525854331, 551122542, 905609713, 667695507, 164703522, 438927598, 726404266, 217490080, 135132063, 876798764, 17948879, 440523744, 466353015, 15147212, 37358289, 511408589, 381405941, 156100802, 790613543, 566111221, 423784831, 834076235, 606911035, 485661588, 515828746, 1043882671, 89293530, 717619725, 422612429, 57073604, 23230301, 557537648, 769255477, 25377700, 827995004, 237887726, 880786645, 67632871, 1036135216, 601109602, 238571943, 6865067, 702876221, 857409530, 438550410, 364446243, 871462413, 619494079, 393190113, 538120522, 47164869, 289037287, 303562319, 422359480, 192644211, 179023822, 965153403, 12954729, 194678815, 566071305, 663195937, 142018764, 180484708, 148002631, 1016308703, 154457628, 1018688820, 117229002, 973825707, 60414506, 34186696, 272067151, 577837497, 693783421, 81131820, 106732211, 10690917, 496539549, 219568970, 1069032299, 788594580, 330723926, 509868634, 86023917, 267777493, 141520167, 74216369, 846395954, 811259624, 403669013, 326682748, 727189412, 499144351, 970241143, 25100853, 617332781, 914508363, 193444176, 576667577, 579659511, 858114786, 690009953, 191078590, 922706994, 671070890, 981914395, 311844973, 856426014, 356070154, 185872068, 912958317, 794618627, 328200489, 302726677, 254345541, 929050864, 517847148, 119123363, 718849299, 231512089, 432052880, 452936004, 856800359, 612244430, 560381558, 427815352, 616730121, 639945861, 449762295, 17429455, 697746280, 686811175, 431103653, 431095356, 453483700, 391508723, 189203694, 1049023205, 55375030, 411058024, 451568168, 857906394, 838473062, 982275254, 407368510, 1002311006, 271876473, 87301355, 525774162, 542766835, 744861861, 718107892, 47685964, 306650040, 758903831, 194131668, 249202752, 1002244340, 971537182, 206385613, 366527850, 998730562, 149544892, 315907214, 202098982, 747825386, 358880155, 413891708, 641740769, 684920714, 642131654, 57147804, 219731697, 429202869, 58050036, 855722354, 13186818, 557125275, 907975765, 885097188, 818494750, 355163576, 975698224, 269816656, 181473624, 786745384, 221502477, 599278142, 8574502, 475209213, 538460819, 379576095, 954241334, 727799887, 500630928, 1039529985, 685575659, 497174590, 299490662, 218592303, 220999137, 838039336, 939639116, 78867010, 460635160, 211505163, 797985973, 814926314, 494676460, 416598309, 135393108, 1043185344, 987356964, 156633488, 41444941, 892948468, 1046264468, 26727166, 587471519, 638310623, 362282210, 1034944547, 494939004, 993183441, 148927292, 30124384, 1064477240, 349448808, 10752478, 281540899, 434100253, 397603890, 692407320, 494711352, 898762707, 775166705, 741680139, 636705600, 270362491, 318658727, 58388108, 75922064, 813344840, 813917691, 562525935, 256989075, 575120060, 446601469, 931922934, 141229978, 199454813, 808011645, 535602257, 406975951, 486216928, 449076190, 717133530, 443409582, 1933892, 747880939, 32604773, 246355818, 402696982, 42224842, 46107764, 357587084, 967630877, 1034704402, 582524327, 938495146, 132284844, 30582267, 102727561, 583633601, 116959517, 364500166, 381479998, 967149657, 888184253, 268039932, 301332410, 248586416, 249478487, 42786319, 874349023, 431206656, 74671323, 112037694, 926465737, 1034553591, 678870781, 273387150, 984367018, 594161186, 826859443, 973842262, 267602582, 517930057, 70256185, 501165564, 752380271, 668947357, 135867429, 108742279, 437942721, 152402139, 745767651, 102224107, 564931866, 595170846, 479531118, 363401279, 392549509, 890623312, 883098035, 666798873, 382164868, 904994987, 374647186, 757827365, 357968328, 1042905072, 576049459, 910057586, 943908702, 261429895, 849121517, 507739786, 545685126, 1014991603, 938956422, 864004411, 48917603, 82795781, 530339052, 93045397, 633135378, 904405062, 920990857, 508929054, 365709181, 574381200, 53194160, 315625848, 37132910, 55595070, 245166258, 398602950, 198853542, 412625049, 496575813, 347929689, 444022480, 721864999, 335062086, 411162137, 273045308, 543147060, 481534222, 419636172, 82839285, 936395949, 1009101090, 755353611, 526088223, 631058441, 366949658, 125636639, 101436093, 196824222, 725534261, 292658776, 244412032, 840876601, 763862398, 111865321, 75020029, 986547863, 503735750, 482619838, 75367062, 468049229, 795094325, 103295405, 87022123, 880398702, 941590289, 388433082, 492849603, 269696628, 658884136, 940028431, 437613697, 973598977, 746924815, 239176527, 422858275, 625366358, 541026723, 514423535, 418304775, 1060869903, 771205843, 730055596, 431942639, 652704681, 804174061, 923551505, 476755323, 692371658, 146415330, 359401119, 633098640, 994598481, 13849931, 948814982, 170084943, 562739937, 267819808, 397623959, 520866238, 250065763, 992156996, 242254108, 650925233, 154071807, 882316227, 987852535, 854934075, 223512128, 76499756, 552230013, 229041205, 76108110, 472542838, 236879178, 25161964, 941944083, 827277925, 420399659, 317952806, 951570779, 830277764, 167171446, 864340534, 288444129, 374254720, 1049296383, 260400155, 339609443, 76776724, 17554438, 587001126, 629136201, 1039969625, 794374223, 115154741, 765219089, 431230276, 595547406, 490543779, 408393875, 100701747, 542646919, 549111428, 537923510, 592076480, 617239471, 502401329, 84059870, 137016624, 298123574, 835295025, 707113829, 670958086, 252505600, 1007590872, 935292103, 157225231, 655185412, 202818417, 189254593, 534369954, 1001144698, 274533936, 1065712664, 845706520, 970839841, 249826316, 726794054, 112431492, 571577965, 473667235, 822307073, 790586166, 430154163, 1023503403, 75070322, 230190267, 565682716, 267899037, 135156399, 842938853, 784861085, 214387882, 937165867, 233827329, 103083818, 251909169, 394366005, 1066772738, 372705736, 400810882, 891146876, 510488082, 367860297, 452723681, 448560853, 1038290206, 443048591, 313725597, 947162674, 85067120, 152985292, 520845017, 1052411550, 601477116, 638665478, 845361234, 671307405, 747555465, 708904377, 526658064, 649488483, 644354994, 874395880, 907267797, 465609748, 558885037, 358172274, 492151046, 842136617, 723914361, 668743577, 1047630617, 172009737, 790619971, 1039673638, 591373491, 789916962, 299344636, 396343921, 24357811, 143317987, 923842202, 291148167, 831136644, 126459781, 936882456, 821933277, 928489343, 658619384, 861850448, 1033487781, 1011475758, 425588908, 647749445, 20439929, 581248984, 718847132, 894598234, 717613345, 892140149, 456052228, 420137342, 482011544, 576129854, 1029574169, 613188341, 634998759, 754986486, 53358121, 586378711, 815264154, 37087259, 1016784993, 853181692, 829154950, 948935691, 895918130, 861580177, 245375427, 708221245, 687838755, 389649939, 319382865, 655007909, 575394606, 568945913, 666016031, 430370008, 1006143474, 177350815, 670953244, 37177912, 364897571, 438372249, 979605649, 293806257, 220005991, 982660321, 277770102, 526490231, 779075025, 542682929, 623213187, 762887418, 932267428, 387537602, 916574457, 616398723, 514176008, 307908597, 326978442, 904008851, 202564058, 542009763, 513220745, 604371117, 392779528, 755336683, 5729917, 176108221, 482205254, 70806245, 338716240, 875579639, 631779913, 421617380, 604211777, 596575618, 428753563, 670614524, 285780239, 561034969, 510097921, 845603835, 856455321, 185441068, 822097375, 685197937, 195379960, 525651460, 707649023, 461122787, 358278166, 767990197, 404837018, 612156344, 347022432, 1051842420, 781567691, 973029276, 28856914, 81735739, 831293958, 292404603, 28396026, 756956797, 174640135, 627005407, 975696386, 422686989, 131461691, 1021442924, 502057256, 76875594, 13110601, 922975899, 114100493, 433430132, 463686570, 1024030208, 406948668, 1013149785, 64431026, 164440906, 193511892, 790915693, 89992451, 94399164, 1037118869, 566843029, 804107444, 80715309, 623183096, 466605354, 807121629, 141871785, 605131000, 427881245, 809770128, 547232754, 668098752, 422251875, 333723899, 603744730, 755555531, 972513025, 676674617, 552685991, 272711853, 223745504, 48508988, 368183199, 389242947, 227329707, 1008474540, 399817415, 238280739, 53188082, 1064383429, 305861094, 736394950, 245463828, 960028621, 934649204, 898951928, 300079122, 407764578, 383230995, 777313321, 887075811, 21299997, 994447658, 51079103, 172129888, 460754968, 269913573, 933526990, 567781540, 926772986, 1067148445, 471013191, 930130661, 166050263, 2905262, 39013572, 52091184, 587702815, 272035978, 287365379, 70666444, 697506668, 856410731, 900657214, 998901755, 547506579, 500142206, 1060358159, 659786811, 873316517, 697126705, 391916638, 36446610, 350319388, 1011959240, 922333367, 952115749, 687111682, 1034218430, 499676474, 615930268, 815952271, 778541790, 594544378, 222524933, 676910950, 1034079197, 14335880, 574786991, 152247381, 619896219, 973148731, 340251358, 467917201, 510692296, 397087038, 72558596, 816388749, 28642386, 469134337, 140491608, 426175056, 245636703, 905219298, 527155057, 174872432, 996378932, 450718830, 313341313, 252260152, 948672808, 128851033, 192292042, 645949065, 757123701, 479898089, 170736386, 937292585, 271329272, 659304011, 238567402, 29771090, 116828644, 1065359628, 126650045, 1001795460, 306490657, 503764438, 743405992, 971003482, 890200710, 567054776, 770075263, 442671730, 26265655, 140035991, 22272609, 49611528, 403553617, 133329219, 265624997, 190987722, 337778825, 399775545, 600228197, 1051322080, 25005797, 395171962, 759939148, 441992391, 947941627, 491327403, 196068578, 21602476, 238803018, 379838764, 987666779, 108189790, 104229089, 990679140, 364002849, 576152971, 939725, 481419002, 655408629, 196419880, 593844974, 840865659, 856277089, 741117008, 4417153, 660130403, 838348955, 678363908, 34314106, 102308217, 602024857, 690537472, 782422149, 231623288, 10403258, 595393765, 479898198, 327308755, 431469816, 146442195, 346016949, 1071896426, 462267390, 608561574, 821964426, 397327181, 568747497, 197136613, 598245901, 678555975, 930769043, 267082889, 563321239, 527960962, 399503310, 633541598, 957086439, 848252777, 706555632, 487587415, 1040776338, 203766979, 626915443, 480480085, 1038879795, 213217492, 322865867, 718282094, 349537913, 834871063, 712992348, 818586551, 945134712, 1001431057, 90397119, 203912727, 930699769, 674625557, 733260212, 745947446, 5522067, 913512328, 31491240, 712508925, 729954121, 459525437, 100615679, 620281938, 2547196, 501805922, 266060204, 740796607, 241413984, 607736671, 663659147, 53000376, 1015750458, 1014889114, 54985660, 160705851, 371427679, 760253684, 170206576, 730690882, 682505390, 612336374, 344449435, 274977268, 914924384, 111173136, 715546813, 1072487444, 433706150, 77713793, 441693700, 980763439, 777400017, 537413953, 1029599333, 643976813, 824270744, 516023872, 301916688, 211901857, 779379207, 665074664, 404458882, 396875413, 664739883, 491621810, 983479609, 271470379, 1066257567, 22670962, 407190244, 627181871, 940191116, 717676332, 469879236, 528956047, 525328231, 209951774, 502723245, 212838876, 574438051, 873680327, 724426240, 558311765, 1014620604, 286409456, 744309661, 379094947, 251479956, 902510670, 840865983, 859929333, 770104315, 521356608, 118140669, 225176753, 295082547, 997247077, 1030142582, 806682040, 991866574, 663482947, 846601311, 918204831, 903223230, 915341550, 659510635, 381399663, 375750298, 520944321, 136818360, 533618704, 610231122, 126264754, 669473090, 704676520, 1056941793, 708746920, 206085664, 144315639, 694613286, 772258406, 736750790, 670214637, 87164188, 41686161, 978365091, 38114413, 556099450, 342177668, 970943120, 258262395, 934196291, 74352880, 562763194, 849312394, 590065638, 106349563, 835554312, 332767504, 255701593, 800862022, 169016193, 636949259, 617696791, 556662311, 748836777, 790387761, 1003681505, 708070031, 636273495, 496692599, 1028781380, 191440197, 500679655, 835087145, 307750640, 1006788693, 209249716, 260207675, 139402385, 989986999, 1053429479, 191890030, 641005975, 235733742, 887919617, 462825083, 654741864, 294620261, 452537382, 515178968, 860211338, 728024536, 21269951, 752104478, 732266780, 320164345, 370172069, 545014104, 211832050, 887738247, 74333096, 900371379, 324510588, 27835353, 732789250, 677342617, 1016573526, 615471133, 789814532, 382528908, 418516398, 288196069, 717285907, 776197497, 665786933, 796391701, 295057969, 790029115, 469705849, 607243883, 724264604, 323997356, 842153020, 917670189, 674407482, 56706546, 905793277, 454532605, 85235184, 411474498, 453028118, 342102489, 870761462, 487693592, 608750241, 821776228, 971247635, 686658863, 632321401, 294768253, 76647382, 805328906, 837065706, 648101936, 700001427, 839641224, 504524237, 321864592, 565512522, 566292829, 434378685, 773527158, 432560395, 611089999, 480374070, 878819995, 392135246, 384909755, 951278747, 681204022, 99215121, 657020316, 259649825, 548984739, 976816596, 744854945, 713266600, 51826182, 51414329, 865046750, 550688842, 702645294, 57729965, 875252904, 859775095, 450382723, 331158782, 362589339, 466816280, 104965991, 1014485455, 929711499, 640699040, 117392605, 1072616500, 19056641, 392946109, 464352873, 992600078, 802160478, 870695621, 218196143, 17918748, 1011700928, 666606078, 33241564, 602075904, 818602373, 356839892, 163923417, 274289584, 788101711, 366146982, 340297927, 1029209173, 293557860, 476656979, 633873078, 296816485, 48836629, 193334260, 214504262, 661918347, 124507323, 811176146, 397656174, 353250505, 393870925, 166272364, 373393449, 429330422, 781188072, 116215535, 344156414, 475053625, 627664486, 690680587, 170388350, 42305887, 538195143, 481231329, 565421082, 88391917, 494665048, 817693639, 88805995, 794285036, 42333083, 75622194, 388949402, 153150454, 82570993, 487846511, 917938336, 833134981, 247711146, 994678063, 946842243, 843617106, 745298989, 872557348, 515049481, 577085212, 212056482, 1064426204, 822093051, 360675160, 273951754, 91072025, 609129782, 427152408, 388699606, 822499484, 812249707, 897831089, 932584462, 504809103, 234860878, 448135639, 596095642, 744726310, 101955632, 1020663594, 746070660, 877922289, 215537350, 578537647, 85732962, 122624162, 54300950, 334031533, 721598765, 784974038, 948037386, 1015504508, 978518138, 863869073, 132376716, 37717969, 247015122, 221396959, 622342075, 255189215, 297263383, 988818497, 807760104, 48665722, 642176489, 63392371, 872812181, 616740647, 470951508, 465493976, 630973677, 796982673, 836932554, 124878271, 211182479, 1034181218, 428300420, 607304635, 362673154, 888201634, 715988360, 615326662, 929307650, 472609344, 203860356, 456498404, 119923215, 628836573, 1001948959, 515146354, 525605939, 560008002, 628414390, 910818548, 402157563, 791875955, 292904388, 577353831, 46725252, 435061504, 58912611, 859266424, 164653137, 401258333, 390742876, 268328006, 173785697, 814315062, 1069382118, 650450458, 489827470, 264747662, 718381409, 158881839, 990886283, 162271214, 796088695, 303134719, 518660440, 589381491, 570254075, 336151967, 34923870, 255388286, 324794146, 757945112, 730725601, 558041152, 137400847, 926296458, 753924120, 117352818, 259151670, 1057562948, 25437286, 1057875824, 908311530, 842310895, 523051246, 341555532, 49515200, 312342226, 639438283, 115284995, 308521788, 329613467, 1022102833, 349076388, 222941596, 385661034, 436868731, 809421411, 403717793, 667413475, 572217619, 849639079, 516504677, 364416125, 399218335, 487778010, 320155233, 341435122, 546747638, 727840216, 799704380, 315337434, 904462338, 437397945, 437032288, 1058138307, 892534747, 825745188, 581070926, 1986848, 823284825, 332443150, 992546892, 352314611, 237015107, 586072409, 357642819, 244693083, 747199522, 86167629, 125427167, 494012103, 740037455, 878336159, 47117841, 416608593, 545513874, 1024437974, 1049899787, 317136784, 951096894, 861739406, 364874523, 628673604, 264447204, 554426287, 375142169, 60623092, 78725278, 333938269, 649419295, 754901907, 263576091, 1031154934, 511202057, 850077717, 926093107, 835689059, 260110406, 358391464, 685142694, 105404248, 663207979, 438563027, 270904096, 712248931, 465973083, 474186803, 936982707, 546030946, 297173367, 988097325, 631193309, 166518413, 229348993, 624453694, 211141166, 256591140, 104196059, 91901744, 316729810, 331160551, 600947061, 108072318, 152409058, 886674910, 268103975, 627678388, 702827099, 573904651, 244825065, 560046753, 481523695, 975587198, 395666805, 640193691, 382626729, 401795566, 516487810, 876592917, 577111438, 883636231, 1018637704, 752208552, 658857958, 787404343, 878104825, 472932050, 389842311, 567166455, 483513951, 251257990, 668114928, 261878133, 763711940, 128264468, 693671041, 501248280, 63245563, 28416256, 811557441, 885322313, 488685954, 1010803954, 817978511, 860892821, 736934511, 226920207, 238135240, 954317548, 1056053019, 323411875, 956483430, 746571768, 361000164, 894970442, 919154773, 972511417, 75535661, 321430119, 1065676452, 359229613, 756002507, 261364117, 1020895457, 451367511, 101039845, 867408375, 82277804, 972508462, 449956137, 701460897, 824784691, 117578391, 953706991, 339264137, 331695083, 960324774, 1027865705, 323129818, 291854994, 451564715, 724432936, 784070003, 486345342, 322669369, 843333414, 954824801, 281857443, 937716250, 156007206, 199937356, 944510577, 10027165, 156038410, 920121074, 769054134, 364261999, 699024100, 315785105, 76707972, 647882836, 717038472, 965205511, 692471033, 624743070, 411666527, 108404259, 267732448, 229996977, 589474781, 560699370, 407388541, 607499552, 46437809, 48475325, 270039863, 839155202, 576849834, 277924083, 507668217, 274786822, 5436523, 415426229, 304833576, 1071317437, 378083820, 647809538, 362875086, 638824457, 401729858, 439476661, 514522255, 181655617, 380888603, 605142854, 718973951, 158025455, 25847463, 181100339, 1033108624, 157188089, 19407529, 806270889, 501791570, 1040969134, 330864720, 673039046, 709660108, 903956169, 951232695, 301137889, 521053026, 788589277, 206794002, 706233287, 35793872, 45947590, 465275455, 257090766, 406899492, 850111836, 993282077, 124939181, 640702025, 730261807, 259949399, 783340596, 15067206, 631857343, 361401843, 369138719, 634605325, 1037802084, 692089273, 357268980, 797934588, 986150876, 381312854, 698775900, 111791768, 149837625, 187254849, 865744969, 512634771, 119132103, 797666454, 593514575, 649098759, 607983936, 73725250, 985612355, 361242339, 496988310, 756591734, 204164066, 793433206, 157911305, 921953340, 512452544, 908193253, 843367357, 869626112, 593934657, 525355191, 479017122, 159023110, 625170204, 996999181, 579924662, 420589639, 344842904, 929494043, 453354046, 864040709, 286411013, 1059707112, 526396417, 92556674, 532360733, 945713076, 590963007, 301183743, 747274880, 476147397, 100465239, 643638289, 166450815, 555823679, 978876745, 257129571, 954514291, 687387382, 461328045, 326462807, 356173158, 649472304, 346101187, 536483768, 764159070, 533558965, 235838765, 840743770, 891604532, 176227165, 460284949, 14265175, 818289293, 79025342, 488659240, 203631213, 100311274, 875766824, 331188190, 696307085, 516297967, 26080278, 535913314, 17528215, 36576371, 286931224, 620018449, 142635670, 790995390, 571694427, 424255519, 1008515909, 450391016, 325806259, 840534538, 195728153, 195432173, 313953299, 518744665, 460787216, 1043688958, 1029700720, 772090184, 408489648, 616663151, 1020837193, 874718219, 403829830, 804459316, 889504744, 1003586020, 112347054, 120394355, 823796642, 269275725, 606038901, 819194925, 1033119050, 346383910, 273391752, 779622832, 745244368, 312977519, 128896389, 854458465, 1043951933, 760527389, 470991778, 737212624, 483944294, 461323306, 782386443, 160168092, 38851300, 529961641, 200584158, 223118179, 243843776, 936681316, 162166263, 722455822, 349885415, 303452347, 969253813, 223139499, 724655893, 135143926, 351532552, 28712021, 883062324, 636674644, 203636785, 21527166, 844006040, 113186906, 695390088, 348327793, 142872583, 95997392, 451691170, 798625944, 1053205275, 656345326, 770297311, 827985228, 522737114, 503683016, 919169918, 878863105, 550651569, 194914510, 254285815, 504612230, 229740945, 1006210158, 849106871, 81775124, 836830730, 850137205, 121355415, 381276516, 631729627, 932291605, 745977870, 269804397, 294865838, 299004894, 570775865, 428498685, 536745740, 52348836, 994004173, 932275616, 201192134, 513772536, 805759231, 55450971, 177575919, 137015614, 41574614, 684450090, 663050433, 199193064, 797984024, 438200184, 609930250, 722139365, 462547252, 936122718, 176836596, 901336371, 143464302, 141274618, 843716617, 316290558, 153968813, 831800728, 531930416, 575546470, 130857881, 142347293, 805090132, 511839647, 51393271, 262130001, 497131359, 29403770, 738711267, 277175995, 262456177, 312515654, 804762362, 318488235, 708571423, 644696725, 30060404, 403460384, 664385670, 489722486, 950776690, 806507680, 668115801, 781718106, 921971922, 526282054, 658104529, 521740845, 608140727, 654557779, 755746586, 264285497, 755564894, 592034124, 547200531, 1047102643, 656037137, 996708472, 1051919926, 461135266, 694135089, 777538315, 232230145, 659406892, 812312896, 1008202449, 169373933, 1029551155, 653562463, 341348761, 924223258, 350130259, 178512032, 436263129, 834801183, 744656501, 932302674, 879826702, 745260619, 978577565, 283103511, 969006927, 887093167, 792393544, 185534393, 505988724, 10006412, 98483983, 832423342, 454067785, 315724832, 1052619732, 428557840, 575756365, 986958780, 405380056, 898772693, 910132351, 311402300, 715687942, 833212952, 914310705, 29914794, 91908491, 972873216, 866359131, 155817953, 1036623037, 220170096, 225992416, 9521011, 668536103, 834908022, 940143751, 832835020, 636780327, 971711585, 898914084, 680478618, 333226316, 493461321, 520701543, 1012712496, 813158645, 893918477, 223819520, 978818350, 723181306, 388502081, 25671729, 365999199, 963544620, 890869485, 465207125, 1072360171, 1067167501, 789426631, 1025140347, 246181076, 965270184, 45755798, 915740048, 591744071, 738187253, 934609259, 514814898, 2878764, 387642529, 98328466, 126435786, 963941832, 403656706, 627647177, 153377621, 814301382, 176206204, 877684788, 11940177, 202684510, 26595268, 790859391, 796816747, 663874793, 971258388, 747914580, 918738705, 906043185, 512030702, 403535008, 687025961, 392070404, 1008584263, 584552784, 6773344, 794816815, 90284900, 159437411, 319323417, 453851117, 585152674, 806410648, 380921634, 221307387, 1057164405, 534204772, 946976797, 839850798, 728035541, 127657819, 388797988, 1018409661, 802538119, 868037752, 213703313, 55098220, 376972829, 784427175, 533027582, 1038670915, 669933519, 835637666, 124183594, 274010113, 548457707, 902641880, 373780017, 410984883, 185577832, 392628772, 982192471, 364286562, 534873076, 173874023, 638396875, 1045155876, 802402007, 498004473, 787285594, 488285761, 995017716, 699218667, 742142300, 313413961, 275167039, 122489651, 496157928, 63914426, 557111318, 768823942, 283482487, 981512844, 298103463, 270925371, 22500616, 480776410, 318694682, 192745552, 972382297, 967962827, 12879314, 707789456, 1061984201, 336129677, 213096471, 571169551, 608623667, 997955237, 23462446, 282080386, 650001080, 68508096, 859109087, 511506261, 49702314, 1024345233, 906099699, 930411009, 934488961, 873940994, 264609640, 1055904723, 938639544, 995688283, 625016279, 951773879, 1005223189, 749865947, 757434234, 422206093, 22331668, 80120928, 128433835, 297229421, 61558943, 914330232, 284753311, 768297031, 305439037, 539685258, 591128005, 30224387, 1025200618, 1011120978, 259570689, 278110343, 703657107, 471609603, 585487616, 841602358, 974449831, 787957064, 525359803, 370549581, 258638462, 389072412, 824033190, 178899021, 79562244, 489886885, 169541618, 711010507, 101582501, 316013033, 67128356, 803773322, 19745427, 461420956, 92187617, 966854033, 908771580, 369612814, 81368611, 713344572, 200147561, 571479549, 602682290, 249850962, 259746469, 990497389, 295273, 575325954, 149974335, 694431171, 257014343, 1003891818, 217707486, 862904392, 179732501, 842973573, 643447451, 606858933, 933409834, 619516264, 423922030, 341218088, 32036425, 1030140694, 392750358, 755569915, 959257360, 746890138, 769026382, 576383578, 881669736, 627032952, 441597898, 27617716, 354147638, 548352417, 160902308, 959373623, 764143832, 519963790, 1011090292, 1041337657, 643879549, 663466639, 191112970, 156472117, 215763901, 30479675, 82080080, 775630257, 48895382, 116526202, 143709410, 142877023, 295746246, 975283738, 957873241, 327509385, 538712171, 460537619, 170020096, 151286375, 772479197, 353318683, 700278148, 833342997, 124987706, 548421150, 233883424, 912415629, 118562816, 196496864, 212269035, 289519386, 238540666, 574425243, 226700417, 426399934, 214941212, 72740069, 638908675, 925384691, 431645140, 472444769, 81752851, 1022629521, 899144817, 728390722, 774711439, 187780703, 985734223, 731225042, 323747303, 946460725, 257657767, 1052722190, 696713714, 1039644458, 416274250, 76079107, 445134679, 253260679, 863912871, 669791915, 1005802779, 235694703, 124192004, 411181594, 458409633, 264242218, 389402977, 822664857, 118630375, 414122573, 273093694, 454913458, 809863914, 363770086, 282334060, 627697404, 711644323, 812449167, 469922688, 383363179, 952058997, 267587208, 492686122, 567103752, 1051645056, 696413835, 716314821, 808114081, 798999877, 898200848, 714990570, 841769824, 115243418, 606620367, 349220768, 713183697, 817720805, 935258198, 949588922, 958131708, 124993169, 812231277, 257175188, 19011172, 964013757, 831968498, 126439546, 44406093, 759194973, 867565371, 969676350, 259708378, 838203366, 29270449, 217725250, 992262120, 137414726, 18612454, 979175749, 62472398, 239163651, 836188762, 134938375, 193832394, 272746733, 655438556, 840414021, 762221024, 368773338, 113178542, 331389602, 611253997, 1006722957, 205840961, 789661201, 258345219, 184286794, 1067556020, 623874384, 711472949, 734308505, 353628322, 515844044, 916256107, 222437279, 677124502, 360582822, 959224377, 874269436, 893191652, 78587909, 761471481, 457841846, 458857106, 297267358, 719481449, 708888356, 710727635, 874503483, 379323274, 1068654828, 630706456, 998199158, 306265970, 547540659, 579153056, 367316078, 233647215, 741791475, 707719607, 1018208087, 417551040, 817910846, 489330972, 157512701, 606006620, 376151658, 344976802, 398019311, 147526007, 565381722, 925115968, 1067963991, 1072941534, 327549694, 666899268, 552479147, 71725375, 502732619, 883126756, 582591006, 43956690, 1041915426, 715548929, 739365769, 955438338, 798936794, 748868444, 514789602, 513484462, 975817182, 235678137, 897283570, 20021419, 839143000, 463636221, 74997721, 133345147, 70951939, 700857009, 1427027, 86640200, 266737389, 78922333, 742543539, 711569884, 710518630, 717555058, 850359842, 276881356, 194575334, 311611592, 549310384, 28831827, 102019060, 973519896, 592908361, 436538849, 913253299, 280107619, 259044488, 280697560, 641792317, 894351694, 718809412, 170198725, 187561543, 216495685, 568515762, 333381596, 803307318, 330208084, 456519677, 763140480, 65933882, 285092775, 1042782072, 492755655, 964720436, 589661068, 95390697, 869862110, 267179895, 509449389, 828315851, 411114144, 575881419, 48328489, 195188823, 775010243, 371247489, 401859799, 941522573, 1066358262, 879332055, 229465640, 8361858, 427414314, 750470851, 235374079, 712844131, 196345100, 465322914, 683427327, 808935430, 269654298, 657322968, 926013162, 147024289, 630501802, 41277081, 177702322, 377108325, 331419965, 737957964, 604211591, 1040151182, 941296572, 709476391, 837316485, 455885199, 512529158, 493263294, 358368985, 244331755, 426995612, 1048874772, 900535715, 254830492, 283689733, 1051928780, 707767055, 615498970, 193735442, 883629153, 532403708, 812724727, 201196806, 393534166, 1016231543, 76845962, 35032524, 612848976, 843753258, 782818261, 828166417, 498538225, 1006178691, 477354522, 179031226, 770308768, 945038317, 308326183, 704586551, 130744872, 585486376, 860479864, 803172997, 531558210, 689634761, 355692694, 183352403, 184346468, 121894646, 977337008, 355056156, 990137831, 1034723767, 456355875, 755580748, 454778331, 289205048, 583258388, 979172834, 654804697, 443995019, 295542433, 588486301, 86286843, 32128379, 860252579, 491018363, 845465939, 489475646, 640538340, 165534749, 432780620, 749805017, 826142888, 733251273, 504095490, 131950424, 913784975, 375314023, 639999619, 268507801, 293906344, 773090641, 288633098, 530503547, 1012913369, 299049184, 998525275, 181170327, 436113910, 477944924, 218077589, 644902783, 828255849, 749441215, 36658487, 275397531, 1015262247, 513014515, 812159468, 212888803, 119991066, 184845097, 839855969, 198084068, 862192189, 907733106, 931353600, 493936301, 49623868, 78809180, 567486493, 184367085, 750306127, 367462023, 569038766, 865180520, 506119824, 887552931, 371645504, 694504054, 2251901, 1005171136, 700187415, 40422681, 4943553, 800634806, 845647901, 470389218, 320120939, 188014533, 112709177, 730011524, 879244261, 29845114, 67273858, 1041624602, 292140418, 219605585, 760340715, 66328503, 539267931, 826426993, 944645216, 865372125, 703665398, 828168391, 143659552, 1057841328, 943711466, 286316312, 14537029, 631488476, 838190052, 369429998, 1057625294, 1029709307, 782840236, 714367389, 110357871, 771566338, 355014838, 963377866, 259434299, 951571155, 828413476, 976940481, 756612118, 57620647, 1054846356, 338907788, 783245907, 372671137, 1040562556, 864651584, 619888710, 853873706, 317348899, 153146164, 826915615, 655395921, 145688644, 677582099, 896841465, 935906220, 724673061, 862261500, 868105601, 963923753, 937520005, 400577202, 295212069, 1053453326, 997368481, 515898186, 824406877, 845577230, 372859034, 607234608, 32410332, 113917576, 122517096, 25748545, 51560056, 823146607, 874764283, 149928331, 667104997, 566558230, 966463170, 957626439, 284191723, 1063542121, 785802714, 823612027, 417303939, 390949714, 364242737, 524812497, 281535618, 766577286, 358017355, 812101928, 203647222, 323087253, 717869233, 845726417, 1000581925, 393562077, 210788703, 324852217, 766478710, 297712075, 335736357, 124481773, 574914085, 408661815, 538274489, 662184327, 295568975, 126425711, 691710079, 247169865, 799221259, 516767293, 1046573005, 673692485, 529305021, 511635733, 345287141, 142722808, 989356852, 689961257, 871590132, 946556932, 942051191, 35349028, 264702807, 828788659, 72030783, 225271127, 1014863941, 556154891, 675895783, 453467316, 746315699, 959846858, 196547667, 775227317, 1058515102, 1035152237, 497188848, 300806044, 275970614, 77893469, 955988820, 215928554, 345176651, 134464699, 308410112, 583554186, 628870703, 660713230, 198091801, 46879564, 700400832, 153433642, 977059908, 361085358, 447475716, 486129068, 404667437, 60248876, 864052146, 19836924, 1022283687, 426039780, 972319478, 1021012586, 546289709, 1037423897, 596763775, 699806890, 595584819, 52297657, 258706799, 767891425, 484350801, 501894531, 340786491, 575917744, 623364085, 641182428, 959131917, 451340385, 436999641, 112310257, 175016610, 406661003, 993544974, 260912802, 923933040, 25481771, 42932833, 791310037, 293269993, 550453478, 100383278, 286664658, 621193516, 941142439, 823818673, 634181736, 34327981, 1040314972, 633210598, 896844195, 443124414, 245913798, 569997531, 70077324, 527160048, 671185751, 208544302, 379363575, 49782709, 531495302, 738963624, 81291585, 912162055, 612175813, 360250118, 726475664, 305693985, 739302844, 237690832, 423745285, 959425366, 1024081956, 573364737, 630086335, 630247714, 636289200, 589572087, 275096198, 778725581, 491631373, 739564692, 324850540, 393519785, 23282807, 318391801, 109492785, 474166041, 468495045, 625851766, 1025874121, 152410662, 238253289, 146294914, 313046939, 30947448, 701573980, 435265, 271904146, 540923520, 559490018, 242235269, 837081173, 284662195, 705657766, 293411015, 473159330, 772838300, 222930023, 28545920, 1061701295, 519935219, 696677278, 64029778, 490565103, 301396704, 528076842, 308815733, 740967057, 756061851, 819667499, 882498693, 706782983, 292421694, 7451883, 611162712, 861144233, 904590233, 19276216, 599843450, 432232727, 62160997, 266565492, 784571934, 628926507, 981088558, 1000298279, 15581147, 230999323, 598908537, 1054838503, 916922338, 726470969, 235272870, 572730753, 295705555, 403631888, 201873402, 444499534, 718749595, 623769284, 516451453, 780841231, 812713087, 862199930, 914211126, 1018921007, 677245677, 814246303, 134209137, 767838413, 388645130, 543918705, 315287681, 491725179, 375676115, 220853925, 937284941, 177643740, 244384547, 292203409, 748028398, 654720307, 379515892, 814532428, 301096899, 977235309, 351606322, 499332195, 233800208, 1037860064, 429020832, 344208179, 87393698, 578878724, 302749373, 294593051, 103718492, 920549815, 169001468, 826499935, 1044626942, 812359408, 549528755, 162911100, 653743306, 727453349, 756832796, 793235217, 626884280, 857265828, 856521792, 679195607, 256653726, 520966655, 423876402, 858594255, 437488231, 1030277600, 950621632, 351483743, 578260391, 709917580, 343463690, 721722972, 323838172, 907134299, 593770255, 833831974, 710526171, 543911009, 748048799, 716127166, 466689920, 703234072, 975810811, 650966837, 207269421, 761079503, 58466250, 271803427, 1002726369, 57776590, 770410107, 48626863, 825569023, 629285364, 986328278, 555419807, 341524747, 491474329, 175934492, 163948541, 868606193, 178164046, 469817898, 139035946, 1031305290, 427205165, 453096381, 18475030, 19445132, 686967146, 657000996, 86486580, 861751343, 780748320, 713859795, 50319680, 567073041, 205573583, 568251256, 817896103, 341855471, 420395130, 568001364, 921401153, 325640838, 308022299, 348915763, 561228672, 414939591, 1011595995, 841944404, 932737520, 166053507, 232244365, 91917119, 952170208, 623816576, 422827312, 1009939142, 200704843, 520047529, 54059347, 597618297, 1066956443, 29273985, 1041536985, 220242295, 506781374, 673337142, 537097957, 737505765, 895341490, 608034937, 512568761, 246733407, 1013079292, 733317819, 664083481, 398079842, 176608676, 127863716, 518990907, 1068551301, 867425818, 229173018, 380023384, 246726461, 788004225, 635260589, 838666991, 134747428, 182668810, 683022974, 254924019, 584166202, 1051800331, 790790617, 341869859, 332138964, 145321714, 69715397, 894244674, 553609912, 409735186, 1037200496, 669238000, 711999519, 542053225, 1046501901, 1053722989, 994293288, 472709975, 685143653, 953558655, 498125295, 940274213, 1004889629, 331336855, 996895130, 118760895, 394464633, 477688141, 983868196, 306005784, 61897914, 798609574, 992644531, 749537207, 267224910, 138945431, 117443269, 242365504, 359170220, 621281752, 706078233, 86439533, 979049090, 750334944, 458485404, 153522402, 311705024, 89209852, 29080784, 388741195, 339577592, 449082873, 654289348, 131133991, 238409508, 538814694, 976327335, 169011765, 878438578, 689105698, 337429169, 263245929, 345308399, 145030931, 151838362, 447768322, 920470042, 800482716, 593524115, 986567725, 615705950, 778202185, 738223872, 991197816, 19151370, 815390870, 1065585648, 983089374, 433798019, 843022306, 702788258, 305113001, 698541689, 1064780219, 966626476, 45088814, 298384946, 118490000, 964200912, 967448896, 312572982, 328132346, 859942452, 763316063, 857673087, 489870619, 839770923, 724878910, 376782137, 958737023, 326919181, 899228509, 926925526, 88346434, 176151702, 2087440, 964859944, 585040916, 315497059, 510520217, 494459069, 859743747, 627430232, 753855265, 535600864, 133188544, 720814968, 505378598, 729560971, 137636128, 532544145, 338701701, 795434740, 1028894096, 358675528, 426040241, 508389907, 306070668, 94032400, 760422811, 497867925, 845254564, 813200238, 934897021, 140208096, 201591166, 239679504, 802015799, 163563521, 242173350, 271091000, 220298334, 489500075, 827663692, 899632498, 1034379675, 439093668, 183479134, 968797330, 532986925, 915016931, 432424982, 288259327, 751234899, 459668279, 809863315, 70152097, 992887561, 413264943, 24839290, 344461788, 453950624, 141848120, 876827937, 59565178, 984181172, 966141267, 909776370, 664488174, 1026849585, 715476122, 536823842, 42442147, 475740868, 589774700, 485158426, 492898600, 693750518, 301638558, 30440278, 280731070, 607834731, 864752010, 529418639, 314438424, 399585889, 817097010, 362406373, 392722070, 397778776, 1014227227, 429396694, 89844690, 708130100, 223817721, 135321208, 607043686, 368664437, 711891602, 305906724, 274557935, 123549420, 421055575, 332401099, 772117212, 888498893, 818948695, 627461043, 913134821, 458523945, 313680197, 713663361, 128662359, 978717773, 732142081, 174275305, 604934658, 836581464, 215349752, 988273189, 256312825, 63349609, 921998978, 89138921, 586256420, 576357898, 1036170565, 307174146, 1056358144, 19798319, 900995320, 834499754, 252337169, 732226720, 155594228, 552481765, 161638757, 623766356, 972664273, 170298779, 325338299, 434725352, 842824229, 1031721725, 749685737, 29929230, 292695640, 502128019, 818992678, 941765852, 244514593, 1065024962, 996855374, 924847527, 488318756, 229188821, 418523279, 487341162, 433473797, 996260593, 506032340, 949040872, 1033771070, 375837243, 749794059, 722876622, 425904585, 543309332, 283120637, 97997950, 257617351, 79221579, 311705170, 166920030, 707740060, 715883309, 647197395, 830277507, 613410494, 629432007, 165631593, 406993736, 456112496, 674829759, 87423828, 960589152, 1045481260, 679319860, 347818661, 194571298, 247987330, 975331176, 1028756688, 228410399, 181530782, 318471184, 632228970, 581198571, 749674349, 656184495, 424624356, 701330975, 470603853, 536677994, 930598367, 602697817, 217923821, 1043686945, 726926019, 882562403, 749156467, 645441821, 445363417, 455464665, 86774116, 20857154, 243324130, 727910796, 903412846, 793543800, 378173611, 767122090, 333841927, 283811850, 356110847, 948905710, 561102036, 87781069, 930472164, 75132848, 349342973, 952075228, 531771008, 713377873, 984648299, 817478627, 388553473, 463101505, 267699120, 800133177, 913026011, 598144444, 812269546, 110156332, 698189989, 738314515, 401929912, 34647636, 694279693, 1012493981, 678191717, 297555164, 798240279, 771666859, 421990681, 726743496, 132616080, 219752682, 1017850584, 256559214, 370702881, 349426706, 823417466, 574644787, 611085200, 729160426, 428478906, 164058328, 21587584, 380525166, 606964509, 486402864, 100679803, 184356099, 128993460, 192747944, 440825274, 363080117, 529204676, 158254614, 3470281, 933073045, 992272779, 144914696, 698879514, 671145502, 51177673, 983759168, 256584704, 931233041, 219494834, 563257113, 1057135254, 527165074, 745198164, 673828975, 640042217, 155171558, 622207153, 113240611, 972598860, 74819243, 169232437, 1007874577, 156696932, 916853800, 744551492, 1055291944, 762495134, 843978731, 517735155, 732166996, 669778758, 381996488, 22893735, 749172078, 659353714, 147287892, 226481556, 229866141, 996553687, 74094605, 997954693, 497807954, 109567954, 842199111, 403859961, 1055535860, 843039376, 650482628, 277910287, 228326879, 258325956, 876610815, 104136430, 793771012, 1022517426, 372878007, 1072179921, 589383455, 581091369, 294708369, 1001605365, 329441735, 392664765, 415008106, 1028289827, 128438783, 787633743, 680501028, 387785848, 458417177, 1012550677, 921373148, 419635038, 187743856, 350468852, 1039189308, 270975862, 811865191, 56631120, 848071354, 182538184, 206932796, 262661274, 1449120, 751969877, 789253806, 895799546, 622991664, 152547190, 153950613, 227817905, 106852898, 405085987, 829310839, 333655873, 812415979, 876804243, 559887726, 912816016, 761676236, 440097982, 1045684790, 443217483, 360380020, 89566185, 432108483, 43981272, 816258621, 79294370, 771137592, 80336694, 314018593, 942096595, 714535171, 106037299, 115572798, 714003945, 971598048, 865001915, 408326173, 620856520, 662595222, 42505482, 605442375, 127249398, 640394546, 45746236, 124493269, 342094247, 227731313, 998084515, 816233800, 221968838, 670506511, 550141779, 363375201, 290920302, 573450557, 900951, 628064897, 757347611, 586444255, 210338429, 831288672, 1000813206, 884548654, 1064839514, 962775613, 1040487003, 575126363, 963828234, 149790707, 298837094, 934600502, 134851345, 863745461, 193890750, 999537264, 409407753, 257942719, 722404793, 908657597, 858754904, 681785691, 239831581, 260898636, 251598937, 1052849861, 848389989, 257077674, 814738818, 229489111, 698218725, 1035817383, 88075326, 1041340596, 96544091, 408341747, 308732935, 680453102, 278097228, 296066798, 514145903, 87939375, 697903748, 269371192, 687741477, 661336104, 440641573, 461949744, 1067284725, 496213010, 846385461, 1030759305, 683575830, 514512858, 851229334, 448514042, 899863546, 889480069, 563351031, 548031842, 1032679065, 329649322, 149945628, 152223790, 699752725, 497088474, 646957048, 487227016, 798895203, 92686274, 650795805, 275046148, 872062778, 555238581, 59848979, 816464400, 135767482, 893832804, 1044677111, 369369603, 749154772, 755775890, 556687033, 76022896, 17667771, 1001448081, 901272187, 395904502, 494731279, 623621110, 676263131, 859590981, 653103774, 1063230948, 853526472, 1017645531, 303027295, 322227005, 656387234, 809046044, 258913886, 262651250, 42237326, 193702639, 807532843, 597948178, 447791389, 612907208, 698707565, 119776315, 583126009, 805155154, 671416605, 822510418, 1004368997, 883292283, 1037868156, 733154522, 387360965, 405147684, 362749881, 487892992, 851069771, 825155668, 622594622, 1057548767, 206446959, 485473301, 867536755, 409350045, 375571339, 765095658, 457137652, 720707770, 672870529, 202473095, 883762912, 964625264, 268460074, 486552513, 638001073, 872970007, 742372737, 985232242, 452931424, 216834484, 776434623, 715421797, 391801594, 567543037, 448147669, 871150053, 22171419, 368184500, 981162816, 509804512, 382534969, 846569782, 610567213, 755583843, 338160572, 702871810, 657841594, 1059038165, 1068345139, 133573357, 949763175, 430966394, 43900216, 302791758, 511554237, 784244384, 3518823, 364224175, 741248077, 871594554, 656892986, 26890385, 959579455, 437709853, 60332661, 178234170, 674660669, 698696275, 129700914, 808334963, 776274969, 148761698, 138507690, 627047570, 164098216, 379841425, 147366913, 101626158, 148380146, 991274164, 502344826, 277669241, 127187146, 915579785, 618440485, 405149337, 376468816, 927616702, 239420216, 879620241, 1050165172, 596928525, 317651008, 26877898, 550841968, 1024940644, 958603121, 898112320, 397238915, 1010140710, 177435238, 946934267, 878304813, 994035524, 452047345, 42752789, 196451146, 686115318, 272875592, 300039057, 273557661, 722748242, 984370233, 796872287, 359668045, 839135961, 863437981, 213429340, 542170967, 688206677, 616952551, 887919132, 521304086, 171584523, 427003709, 605921711, 253632356, 169624311, 788808983, 222669227, 587774319, 377400510, 536861619, 25389031, 99300654, 1069374770, 659357999, 168101879, 44360119, 66295181, 420087685, 395533036, 608202612, 233015990, 1048840519, 382677958, 71066049, 808969182, 648283372, 355643698, 125604617, 470712783, 596541242, 986527640, 355536119, 131280154, 579538911, 432473672, 484699238, 47602740, 646786656, 244541185, 85031436, 903398384, 268401412, 408863335, 861735714, 35406730, 780037115, 679961612, 313085958, 614885794, 24728139, 465117887, 674126330, 1008603799, 402034736, 24835592, 73556548, 1039666499, 962461087, 818923676, 691935522, 980344879, 303390839, 551759435, 220595286, 542330432, 760329184, 299264670, 953753158, 962740971, 542244458, 906936623, 441753087, 207511181, 855552502, 504320672, 136449621, 971216880, 855113523, 158490889, 1046152137, 1066350541, 350426279, 868583721, 907873830, 318908065, 3677586, 523007820, 462437873, 534551434, 466137410, 810819331, 668792379, 130011957, 956331396, 239247572, 844543503, 942771582, 423899977, 1011147576, 359762660, 911105388, 731895682, 877640289, 372871475, 472457577, 610111282, 622560049, 560077892, 954390154, 586771089, 662612129, 709865869, 960873780, 738198511, 405772478, 260033194, 686346383, 834554584, 470375639, 324435470, 272332379, 486282083, 419112251, 435940166, 146699538, 256324359, 269982337, 291754032, 410140647, 360526930, 128068134, 341849450, 155620713, 45024911, 918108116, 807695789, 225996349, 483016323, 816931954, 136832117, 936569335, 994687356, 187823899, 798964409, 221512, 1042799430, 317060145, 238562351, 1057434762, 579022788, 816331865, 356192662, 770908246, 45586066, 1018141739, 861790046, 350946482, 154317688, 503339096, 641409930, 788169583, 481042350, 398806557, 858408237, 1044725450, 364313885, 570583558, 899077452, 955531729, 466523652, 631218382, 81933354, 300320119, 1013861116, 202011089, 649047839, 918439844, 945497244, 1073264976, 447045994, 110805422, 346160175, 286484055, 896368820, 282267835, 646995995, 385106557, 476295087, 1023037117, 907150959, 1000412162, 720315669, 169069980, 102598152, 866512086, 339730736, 486135401, 1009038266, 753006947, 150353374, 624925151, 578601408, 1047893143, 1073449831, 662821816, 48969402, 568444123, 943938520, 748235869, 337079117, 314385008, 133459279, 74496368, 275750585, 944100808, 365521435, 588845102, 379947664, 212053591, 87252586, 563968200, 957482063, 589024623, 739725168, 553648466, 692665981, 349026342, 437475736, 413845977, 919626321, 549103886, 453632685, 811352515, 68748003, 534573811, 1048134008, 949875554, 476381212, 570491593, 776022218, 954151038, 829841080, 17808435, 598654347, 89697072, 949202030, 367432068, 446234742, 970063713, 372098227, 440358169, 1052579512, 339982922, 187938969, 590596060, 180604938, 801625794, 369522817, 806226154, 304980269, 848789316, 470638007, 245439336, 27696578, 642219962, 404362684, 883267124, 317127545, 104889625, 978251030, 760883453, 283927413, 72844621, 481642076, 338378850, 73278156, 430208515, 736410305, 270441363, 705812956, 5199189, 706228529, 1052217462, 758803691, 563731654, 30551260, 185671069, 619313814, 539319127, 1020947148, 819438161, 127286965, 989479966, 399649928, 337693140, 536719223, 448859877, 897191485, 454081937, 357297208, 554792497, 662504965, 87445471, 754557252, 483011997, 125835349, 392361996, 252638703, 915405566, 1023083183, 910845722, 204990414, 281536225, 747782331, 786073851, 523071738, 195817790, 1013629563, 512586622, 466852848, 38909146, 876191237, 389043498, 453424861, 552911698, 58760546, 374462208, 201553517, 480554630, 456708710, 947289793, 245120599, 1010175883, 1022451247, 1021758951, 35871927, 716191431, 502602927, 324707067, 707596083, 38685102, 605713497, 91658307, 919095671, 489000517, 387685014, 646513449, 587710224, 380448557, 630485377, 145122964, 1032035570, 847105484, 1000624103, 83801343, 596013581, 726274993, 897401371, 67464927, 869929445, 946472793, 417807393, 683376125, 322316314, 671500691, 242947080, 878023013, 919036985, 699031304, 391411422, 44133015, 42239596, 141007969, 696844868, 56064723, 749568270, 318452883, 615479690, 154979682, 371964747, 123950856, 6938693, 539315523, 144352847, 120505181, 40060339, 923655424, 328926214, 199898573, 906593722, 559984556, 699106206, 935927669, 527706987, 114296564, 803432255, 285998118, 790093806, 550734556, 1057105229, 134716100, 1035253918, 234409844, 1040766259, 259873172, 811584742, 576170554, 640887697, 418518258, 975910675, 142227013, 828922989, 1021452376, 28011818, 861679404, 625680668, 357129476, 250705755, 505235858, 1010987363, 607591940, 522603061, 878377707, 514457339, 599717219, 113540918, 85865089, 327648384, 309003998, 766213805, 765722494, 550617506, 356001976, 467918298, 933695995, 35699306, 900001076, 439858311, 1018565657, 36123420, 796699732, 1004341810, 1049383196, 98415043, 1047481783, 539030455, 912670095, 809378640, 841718872, 619233207, 997279981, 1017741637, 222157663, 628490414, 723967931, 363300820, 916201215, 54311718, 11566725, 551130313, 216719949, 332427110, 161927856, 413895737, 952727017, 47621959, 6480947, 729793856, 892421445, 501038912, 411718361, 363557563, 148852581, 406410163, 394127911, 879910322, 330755123, 98015024, 151460148, 235512540, 1042852336, 105057108, 1001663404, 1008612625, 79610790, 486608521, 717027650, 597525230, 377958121, 94581922, 321312895, 739416440, 908548464, 906937485, 1023890074, 780324369, 897565444, 747771168, 995093588, 131308798, 739579388, 836100320, 858766921, 769301434, 664721341, 832316904, 5858682, 817263611, 800902516, 405472657, 537082767, 963127057, 265784267, 366877419, 413873796, 3579818, 723382417, 168956224, 275897854, 751189743, 448230938, 140078604, 869638815, 91956561, 551752955, 561983863, 54744305, 338705786, 699738304, 7708980, 160149258, 498545963, 36177869, 994884309, 383287525, 146614244, 185567637, 841426447, 1053609979, 112717015, 894374391, 758490471, 708363293, 278869612, 74625195, 365596355, 103224219, 1053268628, 747138063, 913373533, 435700977, 145329897, 1067254323, 632201019, 82480068, 1052918312, 254186231, 597549346, 727282854, 923503966, 485096257, 675709167, 928124369, 810588683, 674451401, 272720541, 940512038, 212554881, 818433197, 496196393, 293350873, 24842091, 372367750, 643604376, 468783243, 959130700, 86991315, 54842446, 308363954, 240596581, 201892470, 536211442, 83961424, 523995584, 459160547, 497353755, 748643357, 135460222, 516576498, 884202732, 513375855, 924100596, 11647450, 504404098, 306194809, 461201420, 825867075, 224683525, 290686790, 797418983, 68599515, 236178054, 522601283, 687469529, 345501338, 1049828887, 684234236, 204512429, 386030455, 327883945, 366836508, 795845514, 792024877, 890274123, 214786033, 1045014939, 809934814, 1018813083, 956452063, 902917305, 788037172, 561281985, 306654267, 748891201, 807156664, 651684748, 236109315, 146783171, 384277294, 239828911, 574665835, 580265173, 328624739, 33613158, 1055681139, 382328100, 765089551, 744649281, 435516052, 526729216, 974355853, 667159789, 13592689, 999759191, 973269678, 614227267, 946841536, 848768339, 494145312, 293468765, 130425999, 708218805, 654049729, 1007018615, 318755041, 256806765, 105849182, 557917735, 882088551, 763327287, 775326824, 262295558, 30793181, 28137935, 979019097, 795064285, 797533563, 520048746, 949352204, 1033935579, 4150678, 411761281, 661226933, 485014196, 558100455, 771784684, 528829897, 232971933, 675962028, 967544430, 944712904, 795611195, 877604600, 996627028, 403999631, 489854085, 236387609, 12309238, 1000008603, 328538191, 372911205, 657967847, 700090025, 189738775, 321223556, 57430626, 816326178, 202801576, 895837916, 199421032, 491286445, 476164151, 491210192, 572589745, 246750105, 623982673, 597736401, 1038703945, 298967841, 11352322, 916579460, 708900102, 560396169, 612295458, 380193429, 618588975, 175045460, 347555800, 285587304, 668989071, 913210405, 273406541, 508484637, 242431092, 964494005, 151831043, 55453671, 848706564, 37308275, 124043987, 849820332, 833116635, 589022124, 383504443, 179437324, 907691876, 822584149, 884676411, 1019345778, 23685783, 742579639, 298072896, 140183062, 381946115, 994511306, 457716794, 105377689, 949550305, 311727128, 219316199, 765852517, 813649658, 391032727, 448088439, 724366718, 180431047, 1048512990, 652852364, 470051004, 50141294, 473464945, 644161366, 744186186, 383791777, 123652758, 1047631045, 238238427, 581840850, 1072566794, 136284849, 522549562, 463324280, 470241401, 488214252, 147466898, 854883745, 743224867, 443461499, 520398030, 660800671, 876484240, 257712623, 694865258, 197081701, 966418644, 759572614, 626942068, 835770732, 878931719, 479257134, 54573680, 772138986, 499473364, 823419074, 972390733, 227804116, 136601488, 1013681521, 748509221, 499098105, 621420833, 992317133, 137375696, 416242568, 189366197, 68179109, 890986419, 1026470749, 553027792, 866813839, 155612094, 76067887, 933270526, 641433551, 870627087, 371829785, 286251380, 673555808, 1045847323, 593949962, 901998418, 191332774, 348232572, 910354546, 801478721, 773640733, 1039327831, 939690013, 584833349, 467473171, 458352722, 876717410, 995254598, 829583452, 415960681, 1033184920, 964339261, 316474862, 940608323, 722545352, 156560506, 484184077, 123541340, 544189548, 914077895, 851042144, 362092869, 989258074, 764713851, 541258567, 247036455, 107134259, 693639, 460876484, 124633997, 771520776, 615743422, 284202431, 447601304, 639133168, 689967555, 200827523, 79872317, 618282704, 137147915, 507880491, 594216529, 585792073, 160596494, 238582250, 649659459, 429366589, 417965033, 353500901, 811328040, 16960633, 298444869, 604589306, 783547672, 574575135, 501115326, 292615526, 595689364, 888633139, 765091399, 619747163, 1012730820, 396870716, 151162079, 525483131, 644719656, 924996076, 904422235, 659619522, 503529571, 1057400100, 627920276, 1008458692, 463077462, 939115545, 807608896, 563883774, 818617548, 904318718, 979113769, 341921142, 540252596, 598881943, 801268919, 319372964, 1033167957, 977963972, 604026389, 478544864, 955097986, 1041079800, 1000604774, 991413396, 88770090, 365474020, 738246644, 620438042, 285788015, 498379380, 358030557, 277880442, 744741741, 616145416, 644846955, 610759039, 758900705, 947435575, 691039040, 338973946, 451587668, 809341903, 555955623, 116969388, 662225540, 884213730, 934056954, 302335796, 872830390, 933774919, 815895391, 766076335, 598256438, 602339883, 4367856, 396270743, 26586260, 567160005, 913318012, 352532408, 440899359, 209809472, 298638536, 190126861, 617747195, 177921760, 1035715872, 878128461, 1060288849, 940089564, 612297896, 201772893, 873264132, 388776262, 439111012, 1005743453, 694196188, 789652824, 905088047, 817379098, 951125150, 490900956, 913898339, 869953824, 577557048, 967349625, 506080830, 68655448, 658333434, 961560277, 879417002, 543874931, 622431670, 686976871, 1007540842, 927664, 608061207, 71072161, 150772223, 969539489, 826862166, 766670548, 213049245, 741698000, 913909977, 569259080, 1040586680, 865268861, 683277382, 821041090, 556059318, 392284908, 296720405, 734391858, 480090595, 319803037, 850308347, 767076553, 381362839, 494454021, 942158320, 706546030, 933200596, 731798616, 26635093, 360317379, 760835534, 728361343, 769942384, 867080515, 597682918, 824004005, 515468774, 649921957, 160371352, 223833386, 747841651, 1024845845, 771481337, 690737105, 6720737, 530120837, 212592320, 727745660, 158585802, 708974513, 104742553, 560514901, 397325816, 581464604, 86309307, 319583574, 263704302, 475254959, 388094733, 950562569, 83216974, 902605351, 159830872, 119864478, 912047590, 269992886, 640284212, 895821236, 506832511, 858070793, 180959356, 540527056, 410198296, 330548244, 344809241, 459782057, 383760697, 1037940139, 375946523, 465120320, 117770927, 418204201, 565144238, 716618530, 342429796, 354648040, 413020231, 322339443, 885301387, 987126690, 47560344, 869182257, 181606636, 735855855, 640845677, 197221869, 572905377, 796113421, 947032974, 248126105, 184116143, 704825498, 344743277, 217871357, 451700934, 17293474, 800511986, 533104084, 611591435, 88714891, 460484264, 795657723, 1034836095, 49569700, 46113704, 176311039, 969935165, 899227768, 713992643, 28653000, 56722523, 852376994, 858646337, 398703489, 819594371, 962582574, 885858457, 935903300, 470496011, 811321258, 690607789, 726701573, 567400270, 154979709, 535845019, 795304634, 873237570, 278834951, 370760616, 1048315956, 236414941, 779389863, 187203181, 634012799, 706040354, 942613597, 1014978728, 1060259771, 860627819, 1018610408, 225419154, 739143607, 254691641, 213244359, 206925299, 715547503, 268268711, 1052123847, 228209254, 360060866, 496558612, 890903053, 478466702, 1004845364, 424336124, 1039415608, 300545376, 297986278, 494234821, 264273712, 347434736, 329203965, 101565655, 835717656, 441648591, 1019286920, 625613543, 1001287500, 42870337, 70432442, 959481456, 861426690, 1038252616, 727207159, 218831705, 509551062, 358691945, 806288165, 196562312, 288168098, 659931233, 228787503, 59850180, 827504940, 1025781242, 31531648, 305546774, 106064060, 208074064, 599859615, 504466354, 636778581, 793290927, 347648118, 393907896, 713297871, 292689522, 893531318, 841651242, 328195680, 24527466, 28322005, 955269728, 911752786, 71888976, 207933017, 379453271, 91802573, 106636909, 78062553, 739072265, 300482790, 605647877, 378552723, 601553874, 21180357, 907356035, 581963092, 164678589, 732635074, 257606186, 882798423, 163996350, 747410561, 1010041003, 628549420, 486532442, 444996487, 791518066, 363829679, 582416187, 735132901, 348224858, 689400031, 459829311, 806788545, 719821018, 378065451, 514964630, 1044115044, 307278286, 1051945014, 279707753, 20345364, 565498718, 854888796, 310545521, 625304981, 745374384, 938186534, 897130340, 76996835, 922687576, 182396666, 46995307, 857265691, 922728438, 337787602, 660040122, 639224185, 89550329, 807141678, 90601795, 1022176450, 632173978, 665866328, 747686180, 420447108, 215897533, 224923024, 419139782, 811888402, 716269191, 668248521, 557128517, 638701985, 924613629, 735892077, 413255225, 342464584, 980298561, 821139683, 623187616, 950545147, 132383476, 395988447, 387328564, 375693193, 493894803, 575242294, 507387252, 779801610, 313285993, 1010642378, 209793826, 706096961, 429807097, 217128202, 596717461, 405284487, 1020120214, 954462829, 719574770, 753168772, 439596320, 35478914, 468030645, 765619663, 379337743, 798735030, 462242678, 567108118, 969926720, 149976049, 829223256, 899051262, 95554526, 945750952, 457441923, 897683778, 797201641, 545922652, 597435157, 538586449, 946772601, 727583558, 859157432, 183931314, 844436768, 656478499, 129462145, 753427906, 327402141, 130295454, 932195987, 16798106, 462504617, 109310449, 67270043, 553744182, 352326908, 115825527, 491676515, 964023066, 577532078, 906943430, 138017885, 27515318, 140738188, 774098410, 62336928, 375188182, 727657491, 808707158, 437721936, 148980726, 999640880, 231936614, 484514837, 341776592, 640980612, 855102637, 305296200, 301257624, 360878153, 367450, 51535930, 1024268333, 593323550, 293832038, 479297277, 962875103, 160885245, 50391934, 1039752743, 733933583, 331515019, 550999353, 187984588, 580439509, 634771612, 278186501, 398752908, 1030501262, 347053252, 527491187, 913571735, 506594850, 420401212, 192251928, 726801859, 779852677, 655676084, 295972484, 505968478, 740873621, 1007848870, 206149314, 311768708, 862949942, 728645911, 587415685, 998839004, 502427150, 506032434, 583065069, 485534333, 383922555, 558883793, 624468570, 352233082, 451080369, 123172029, 315455935, 626115422, 662153863, 987709573, 683693087, 905303543, 288004091, 909915690, 427989174, 513954463, 146367178, 772113706, 271779907, 717602998, 1008029058, 285245109, 916662760, 944819479, 570628804, 228635958, 935602061, 498201480, 79255801, 293787428, 981647331, 993549737, 811765836, 181257183, 725994332, 141784947, 609704346, 46855818, 615765454, 891971572, 252782803, 214425734, 437092984, 171631443, 663488186, 797031638, 674815111, 881918504, 185755823, 236838255, 951183117, 413373867, 151914035, 945323223, 373068954, 557880903, 377995469, 393850149, 757934580, 334725980, 417210491, 402403730, 548483475, 627712257, 726025853, 143881443, 1068169762, 612806759, 727316337, 175429601, 506999437, 209480549, 558447134, 614679146, 1062382558, 590939217, 501920205, 988588474, 85304418, 136196904, 787999787, 198136838, 4068989, 23539474, 729701286, 443209635, 230060634, 584377723, 830562440, 698661715, 253492753, 906686186, 553261255, 163219935, 228177048, 888679187, 505999300, 305752621, 1037681440, 949569206, 416077577, 546532607, 820780488, 337717645, 768188426, 991734204, 996673258, 290666232, 324183753, 947351490, 717234137, 956809296, 202919108, 206614323, 398347697, 553376245, 170498134, 141918573, 3101458, 310416445, 631739039, 11262392, 1031733536, 918218648, 882158373, 201551111, 797523364, 637043836, 534639801, 91965077, 758981284, 109170736, 659834788, 24993662, 247340890, 223874735, 671677673, 346248053, 654997016, 348647237, 841201336, 663478223, 259149796, 550224783, 925799819, 79839911, 743698953, 831735999, 123965808, 462624212, 856412623, 874370297, 475794417, 920158442, 372519149, 417724121, 408156711, 494763393, 655324673, 108515994, 639587923, 634450907, 894673888, 522436119, 362436799, 163684922, 441608663, 131026393, 153967000, 205384877, 427459698, 146176304, 346274924, 977130728, 42403970, 477186861, 269934110, 220800243, 280420426, 211577814, 301601967, 63831148, 431757197, 1058024079, 1039217469, 688076564, 576905709, 520010505, 840771308, 765274533, 560233817, 206090228, 656162556, 658597481, 895322712, 35563650, 698254410, 75941158, 818486976, 708023988, 196704476, 453519205, 105342297, 592432989, 13032221, 642549690, 140461352, 1055307474, 196714779, 895535443, 484240894, 866245255, 515158204, 359594217, 433953911, 251207484, 154566485, 602350388, 325400510, 707904350, 408895955, 281333130, 122149531, 174480637, 592779718, 1063147056, 39935665, 1037824254, 394688684, 213478766, 563243975, 1051409249, 257441889, 665820477, 710400281, 935991336, 518274695, 245358517, 744446464, 93955856, 36038242, 267413408, 310971593, 739732441, 83054724, 259475325, 396134049, 331308832, 940034963, 425267812, 1007163155, 798235384, 692210820, 1017711774, 656494431, 790706502, 808231004, 53106275, 93992509, 452474645, 463975682, 997985593, 749659813, 716292975, 616085724, 994042254, 336466776, 427492641, 856882062, 417613201, 213949884, 604366355, 461392729, 766748902, 465608401, 581807024, 934242115, 257605618, 708244548, 1005866712, 157833782, 814856716, 107726335, 409616335, 245767130, 164008280, 843083290, 47179352, 712847350, 1046236949, 634382745, 899035170, 745085291, 105628298, 867623023, 436087132, 624414188, 933808109, 481429789, 228784585, 602050829, 338394040, 181986551, 688034357, 494675181, 654240005, 155582869, 431993790, 823186145, 414983180, 1037926045, 113099963, 897051854, 878477742, 850294170, 206893212, 1041082613, 182290206, 688892301, 433385920, 348420499, 42028170, 640635865, 913715427, 136291748, 417069350, 197501721, 706381963, 1046292693, 286465966, 208407946, 993150743, 997755841, 954425392, 252159064, 392855020, 818083056, 858994498, 1013964960, 19826402, 161866437, 125222341, 1069967102, 464200699, 893045552, 802040699, 759227011, 810300188, 323459873, 904193417, 36831333, 934610283, 814378806, 211825227, 530610371, 162493982, 175489070, 880453266, 972165458, 588456951, 413805945, 752924442, 454557148, 287788608, 80771894, 162446525, 996260054, 399013475, 104403406, 573714614, 734882966, 904906186, 790567426, 665945460, 143665568, 1000702028, 175096212, 605852744, 815203838, 298391181, 142186255, 503087656, 1008017154, 562112551, 155138821, 324702331, 413533162, 602795117, 760154936, 145705958, 819929103, 947743385, 899406183, 26653862, 45976632, 675920905, 358722094, 705033697, 920115874, 456068816, 779198829, 350175264, 462226312, 960818709, 139652025, 32497498, 3936187, 225914786, 145887274, 425214555, 290807305, 1071549316, 704464466, 512705039, 115937668, 354639148, 804686485, 930857966, 1013395400, 423362660, 1000495030, 193687505, 433442319, 106221458, 18504755, 144197078, 285508731, 910422681, 897193514, 646235103, 803115007, 621360332, 688212496, 280061547, 618619650, 517364221, 653914646, 608328356, 191427078, 111748972, 382796082, 662315384, 329897561, 1007084146, 477703972, 331239348, 650336907, 924971465, 678856259, 295025667, 8796055, 906031335, 976277499, 209116673, 85596461, 454975072, 277731947, 165880359, 160553046, 460628461, 931571889, 180317207, 872307828, 175395036, 243161691, 189198777, 826531579, 753901747, 758475429, 217160119, 787064769, 441325034, 166102192, 1043864730, 682085481, 84461571, 632607822, 1022235301, 33539871, 715877720, 254126576, 791776535, 207468024, 652145430, 229318193, 129966800, 147783325, 112853886, 176933410, 785354612, 315213603, 363409341, 106560481, 734045889, 735940541, 262786948, 387717999, 1012243748, 614327212, 82752074, 688304318, 823784498, 976744789, 172809747, 346295213, 454052435, 991520492, 572089185, 600617532, 223997427, 758981133, 312001469, 572103601, 847201136, 649862402, 1054208448, 505106414, 778231000, 236125266, 303955118, 459256215, 951063722, 815736602, 300445323, 193797160, 458715448, 1056880740, 25757577, 1053719167, 558597038, 318330213, 111308830, 1034371703, 284334084, 728910770, 852768172, 869257795, 495999313, 40021262, 985029057, 966718482, 366899214, 923135901, 481540090, 453914835, 255083886, 499201796, 645916629, 359105811, 826285330, 5186034, 314755784, 414837888, 255507775, 1072450462, 778436467, 1050474766, 417646309, 961329147, 692821151, 206218980, 313425081, 88637586, 503318758, 33355171, 581699480, 837349873, 589931081, 536358799, 809366862, 129607857, 127210720, 492212321, 593789555, 757135517, 225193051, 900068440, 336251504, 172355860, 405784235, 307519132, 477086426, 796335535, 795034071, 1005629041, 910926077, 425151901, 1053289037, 347524144, 244552133, 73303688, 482805536, 863731379, 847353888, 196791867, 738972873, 943715969, 706560646, 793177265, 895043875, 489799549, 81948101, 734901706, 432651010, 431498537, 784982548, 921192376, 451966360, 243788253, 828199211, 477038319, 396857517, 7131450, 456204313, 175332025, 45981939, 345719685, 878301708, 377076974, 551900340, 673852122, 1008845319, 334727967, 228784538, 53946497, 352391305, 458861930, 591743873, 794264235, 189238205, 1051868030, 733103730, 807744184, 651378311, 965740435, 540423998, 231061732, 28596088, 858395960, 954913689, 271034817, 614464265, 720038706, 242241598, 45255198, 807240006, 886767803, 862506086, 138931609, 109214539, 127886533, 254644456, 71239223, 1037158818, 1053966895, 914188238, 828301505, 462820211, 788128646, 986417644, 90655589, 220359606, 127510243, 787725461, 244384012, 830792272, 509302218, 528676441, 497603546, 694221857, 129769630, 30666150, 1009895873, 949706379, 351661237, 350973882, 474526920, 109203149, 967715606, 879509079, 791714785, 451604758, 807806652, 373193113, 61650873, 176609975, 813179519, 994897972, 349099088, 828655435, 1057127889, 684078834, 692166864, 1038077169, 361293974, 345716582, 469334205, 179827388, 893086600, 700677937, 832167946, 323872377, 221169638, 466686809, 516465293, 100196775, 415391888, 611460697, 310207686, 512948104, 162120266, 243176063, 395101305, 55144059, 766152367, 262201506, 861636557, 96649414, 423676588, 722569388, 1069293295, 506289203, 271399522, 192948871, 363911227, 727765850, 649575166, 329674849, 642904449, 569935395, 61924819, 853227216, 972650899, 656175946, 147262706, 45964396, 169601495, 929320834, 961555223, 59119410, 1037402993, 464976895, 612001026, 97600430, 598869775, 779699476, 792379743, 46189372, 978980875, 1051098111, 414893384, 45169592, 109810274, 38329680, 857476715, 28679396, 730253121, 86437153, 603447483, 390083065, 574621952, 695771460, 1049421503, 683213651, 523513931, 663811676, 96435685, 757200951, 402437080, 836927079, 699102554, 325584185, 848698133, 949112225, 146257755, 903857870, 258260309, 360241807, 132171317, 492484374, 234288330, 178255165, 23797055, 99544991, 311711077, 149950916, 112541692, 740778458, 163083090, 61396811, 883790968, 450327085, 544587638, 754184110, 113442278, 912882846, 962153602, 863784106, 810042504, 444932380, 210118030, 257493271, 627517385, 120391253, 970804564, 68777648, 150303678, 140507063, 1028475592, 366267328, 497231062, 204869464, 438035418, 1038670797, 373666317, 875606284, 216255073, 261017761, 523454625, 49274839, 375367968, 327385531, 280250848, 852310291, 49724535, 756299659, 849304225, 14647943, 1020226968, 1012598872, 873733160, 620667327, 154340066, 575881669, 614315500, 973037281, 108126810, 304186351, 514604783, 900221818, 276821133, 515169877, 720224747, 480416952, 516634063, 126168388, 651728199, 670113901, 71153660, 123716135, 54239522, 912082408, 498055458, 42171702, 691781389, 967536498, 839082773, 934493857, 510990155, 24469963, 950705528, 127364196, 1030761789, 1030332102, 338523006, 478100399, 462995018, 21374690, 1038918049, 552015032, 639976918, 99466537, 79132255, 754237627, 956056093, 890015510, 878251812, 774466506, 989656968, 929395598, 729168891, 118086402, 928637256, 319951738, 944839059, 725680672, 93592402, 852601936, 204911228, 245479065, 616739629, 914341700, 1029372488, 881006799, 466621985, 904586987, 1038910256, 354233482, 728147053, 862724882, 618575511, 295622883, 352014880, 129261648, 736921459, 1073055287, 214469065, 688249043, 951129582, 344986486, 255609513, 557932375, 327586641, 46673909, 60623143, 771004481, 334635799, 891124469, 494805375, 891517462, 166327781, 696438438, 923857356, 468452163, 33992202, 1064069093, 665873670, 136102210, 909718035, 578929421, 183011045, 86967600, 769844224, 777732488, 689411606, 479677696, 219740002, 695321599, 884790061, 231901810, 1062232893, 443457796, 1068012360, 858605603, 891617354, 385205296, 195325331, 392002077, 144172931, 873086817, 1061547988, 289721656, 1021177865, 147941169, 640867109, 428099051, 773183989, 972761723, 150746162, 1054487613, 628155496, 997850341, 927631082, 610925425, 450450588, 124492349, 471546501, 603643757, 40408447, 804615935, 840670891, 806720646, 621433010, 127977183, 665724787, 187202944, 85956362, 58943267, 1032958056, 433199509, 419810937, 63602483, 774617652, 467935181, 640800367, 561766862, 446612935, 372391349, 362036050, 683478507, 711583742, 796041911, 283751407, 353910349, 884150932, 566646866, 210753609, 487209419, 330615240, 298601478, 890457246, 707795419, 609565292, 915845267, 765462543, 133376278, 592444636, 1046116112, 193432080, 61642400, 193495798, 922727190, 226526324, 597026525, 966651218, 824356662, 832593730, 31398110, 849218145, 409622616, 542514436, 572877770, 14190756, 959938148, 658632069, 754207570, 510278575, 533860909, 695442217, 322713797, 352859747, 17239178, 159088814, 974964798, 242383066, 203594951, 823544756, 999337804, 849559105, 457756291, 621947989, 672138156, 513344842, 819116569, 729223213, 342599131, 774752479, 608863473, 328368190, 418302817, 165231731, 245667309, 596323912, 545270228, 441241104, 191135204, 853950482, 730414510, 34785767, 602773977, 425665172, 549299437, 714229926, 947118039, 315048723, 234060667, 322745596, 649524832, 87315764, 37710080, 334697983, 104868563, 424064112, 614383862, 486766055, 593671521, 833202608, 787647046, 470686469, 950059272, 364124186, 954707357, 288789005, 1018831437, 590385234, 228463540, 618226026, 975765766, 928912866, 211040664, 961782029, 35194811, 291308083, 558492006, 149315202, 737712398, 717103747, 378054407, 1063693761, 709462132, 154681408, 1060313706, 873358362, 390328673, 118314856, 157593581, 788361786, 136676085, 601176790, 98260031, 702570903, 99839093, 1022101361, 742856242, 5826062, 592464130, 698333324, 954275104, 494579864, 1017480052, 1032167864, 13937598, 1071620251, 619358821, 667179046, 861016763, 916420165, 948801267, 59879131, 700844385, 535065946, 55205722, 314797936, 642429341, 513067883, 762677601, 782521479, 329360946, 202806440, 250562553, 966175234, 864867711, 416029565, 779435066, 317811834, 572523010, 804689054, 377223579, 873986724, 316267127, 242180485, 915312826, 733968260, 173289109, 1032884498, 345569760, 422624948, 782129219, 18615310, 838415013, 324881161, 105451652, 93093922, 95651665, 1006893056, 110074359, 464555580, 945877447, 916914308, 305966719, 927387755, 903540426, 524974226, 92488510, 787831620, 410540523, 599088631, 1038434261, 55106415, 310882871, 1003234842, 141786430, 714592604, 835328056, 339648545, 33229851, 1057519279, 1060019046, 236044440, 831382414, 531678580, 361412536, 548691214, 386703094, 4161846, 18837444, 520328209, 663959138, 374054257, 462300452, 787412134, 1070169992, 684818290, 189757846, 924568412, 984457367, 1055907399, 858601512, 11447272, 182099765, 1029381059, 817830632, 602056691, 526660766, 730888559, 35739244, 895825773, 210223173, 875605840, 776872756, 318297124, 813744114, 309748221, 688644600, 210102533, 1068769754, 636710588, 1062464708, 726944877, 206250653, 113295993, 685435167, 701026096, 974062716, 884103554, 176928341, 1041355543, 71554641, 526040548, 930813752, 393152046, 979904339, 956197918, 617339536, 394637705, 52707644, 471079843, 778227244, 100660897, 507359992, 138343118, 46309179, 789938170, 434009441, 683100990, 395365664, 1044668102, 366007733, 643723747, 890714003, 1070150853, 1031052727, 263842797, 143718582, 315170469, 582757806, 907620406, 239961998, 132611259, 413558367, 117685852, 802805266, 255297888, 2029811, 413185038, 811017112, 1066434853, 564502458, 985569311, 367675806, 795415440, 645850802, 458402100, 392692167, 933045846, 477192626, 333638921, 333956464, 509818703, 811992336, 985501362, 1017724687, 256271667, 804922271, 929904300, 544042061, 290903114, 75668402, 702181355, 528316181, 525043302, 481523630, 356119060, 150469705, 878143699, 941823931, 776594893, 214162627, 757439963, 81180861, 682023301, 723634688, 425713662, 140177047, 242209920, 126356207, 700670821, 1026948397, 915362092, 749338, 379930009, 677594472, 889097908, 1054446991, 373102733, 934992435, 273929149, 169060161, 791083116, 760628358, 83733175, 717131658, 602553080, 162715951, 190646442, 932102337, 248362741, 458330933, 63212013, 732764050, 819975458, 1443145, 722371703, 402110805, 382316275, 579444349, 623764749, 627051143, 407887436, 228978913, 89393048, 693022502, 267455979, 834414930, 786991361, 202009973, 224076184, 140907067, 811790474, 325288548, 330300384, 971019525, 605659066, 833483251, 700110666, 364236213, 91755773, 791890512, 922132659, 575063641, 969488244, 121291432, 133950006, 361863037, 554041370, 699292903, 1066681330, 872030446, 236046419, 643158578, 991842037, 713234637, 914217814, 323834022, 684572210, 671467369, 344777986, 158567576, 310901279, 1020690229, 689310868, 320540893, 497554204, 908841058, 931187806, 368401705, 286084966, 934927636, 682384046, 8195810, 674540818, 975704768, 246932309, 528353994, 369576642, 626094967, 317929490, 723567286, 540972951, 764967863, 779133475, 1026617510, 109658794, 416173604, 47500662, 841273076, 77822212, 240037769, 276733480, 19677296, 1007094541, 353687638, 529365127, 336858441, 314452917, 652909625, 258764036, 387214448, 111546728, 871032639, 738860052, 830585049, 1013602497, 209678500, 713795305, 925479831, 915562007, 952054259, 931025410, 99857720, 721089616, 1024879763, 377251278, 276567542, 469610768, 41146622, 256540294, 346977018, 724726233, 787371280, 752827151, 299228568, 127475724, 27388472, 804870233, 582844018, 617086910, 131886436, 511548990, 830833889, 653395680, 509511383, 671186962, 679299387, 912459610, 892217828, 243552514, 315981234, 287881022, 258812016, 1012054578, 538862668, 232047667, 743841294, 1005297751, 805732605, 56107748, 1039394211, 563106743, 98009891, 1039058272, 920092541, 1006864201, 52310442, 746688386, 812449310, 677231919, 1064928534, 421277330, 810436808, 274051857, 411219365, 572729598, 977379810, 132811334, 1036452477, 355203856, 703204340, 98759022, 474545165, 912421859, 927346926, 982125410, 697761443, 319165919, 506717656, 567814082, 301360989, 875632820, 377755479, 356634616, 618950868, 936055873, 872301912, 363478156, 766056564, 861007950, 324651124, 336069993, 1158549, 765248776, 266122728, 230217617, 56655862, 668144447, 255350982, 282783945, 32342581, 127246873, 891800255, 1000200379, 119093827, 987590158, 462259281, 475350708, 972000329, 723791803, 495883204, 984413898, 249911085, 205457765, 52782357, 81430998, 203370012, 62283564, 3809963, 784451547, 70403203, 582382735, 938957784, 123165318, 247395910, 104619370, 716984526, 294680826, 630120416, 694502315, 713111022, 448396598, 571154611, 98071915, 137177348, 117635213, 552089032, 297374931, 570040053, 284873247, 576934835, 395659929, 602269844, 654934932, 475242696, 1035685627, 377367812, 441191849, 372564418, 551389651, 197780209, 206165747, 114096276, 681037433, 124017473, 82523978, 384188879, 608491574, 444712364, 677397885, 1028313858, 936724910, 274725497, 565440068, 943635518, 1007032351, 320905065, 54298427, 849428786, 310152918, 898993736, 520256275, 756412116, 264047674, 610761330, 929919502, 818902497, 648223260, 508924276, 832850653, 344730900, 617395550, 251316664, 272644917, 14840811, 684480706, 256459670, 451194437, 362469548, 980195974, 321915612, 302364456, 230480099, 109377137, 826408585, 793863527, 651318516, 126298715, 760091922, 962422394, 785952590, 954589036, 296274044, 877784263, 224583880, 286972482, 605243236, 269489078, 1007618401, 507265252, 47668773, 330651044, 150138557, 1065953287, 15270647, 183151499, 247736609, 771891595, 314594812, 136607822, 783834414, 1041585025, 716146308, 307621802, 20543144, 1027391402, 1049939951, 1007153187, 614647473, 962272884, 248857419, 752055390, 621902325, 679448702, 208133972, 195125918, 1034196990, 92506928, 970080032, 713515353, 960916226, 327547035, 650244680, 858328164, 630732813, 789053227, 171017893, 31177663, 638228984, 815186217, 496202742, 1010046707, 614913589, 431159352, 673483928, 173591769, 733190262, 318712839, 517391350, 569986676, 171190865, 765773528, 370649887, 52867045, 959487438, 289390406, 513358512, 459272907, 61082805, 263270664, 402548394, 739084189, 780193993, 831466684, 902487859, 1062556101, 855568024, 281825898, 454821019, 28100101, 940552447, 76833558, 875003828, 115628820, 944950327, 98486931, 26525114, 394272254, 26483369, 504065043, 861278206, 465054436, 135407329, 159218571, 1044912546, 944681117, 585319561, 939035906, 170904624, 703459701, 849754814, 317861152, 151646655, 206077254, 1033185875, 421210944, 182092750, 536385770, 571502069, 406558089, 690792904, 222092655, 64713450, 785781746, 243170035, 438090856, 375269510, 693007099, 116079373, 917180464, 772664025, 773837203, 99926407, 661940032, 904807595, 287641292, 1040049647, 151637270, 352253366, 137288066, 266582144, 322038859, 649300070, 805425213, 886889961, 307046967, 590072736, 959105204, 265948430, 915060903, 711395611, 615140097, 1040982364, 677022230, 481884775, 392511053, 1067517112, 140869761, 343643977, 1072771202, 54406406, 956918589, 539269033, 1063001079, 861403190, 194934411, 65820055, 867503736, 279016400, 99983818, 134159297, 261523329, 880789313, 947651308, 287604486, 121792957, 720980433, 58563544, 642354712, 249860517, 821375543, 55947475, 631411662, 157471545, 699643550, 77922641, 407004518, 344940062, 229337113, 515644327, 449681956, 777941378, 891765226, 412058090, 699584629, 63306197, 727029961, 321867511, 150821651, 627009506, 209208590, 971072146, 672397000, 976919356, 896201577, 14028198, 204680875, 1038160432, 516324448, 608985012, 312099473, 736884800, 430748691, 393711839, 312846994, 991940421, 1038769453, 70894190, 903323762, 870181659, 683518272, 807397965, 170039541, 229157495, 1026243676, 139974881, 325076729, 214588993, 75089460, 1032797130, 25930754, 201831702, 434815581, 48956211, 754980611, 51897676, 881987346, 71334172, 907635423, 984990975, 101213835, 895113812, 842699824, 1063145803, 332347166, 442046803, 271544405, 446719594, 1062864616, 142322884, 236547956, 119715188, 23995673, 840023866, 1055570093, 1026240264, 146198514, 708995520, 704311279, 373581071, 713958382, 791723626, 76846462, 289018182, 377797213, 714177565, 55629684, 193109743, 625124618, 9800573, 461785832, 259210835, 855570688, 370908196, 783763191, 39609657, 353442469, 999538776, 837253532, 600956035, 159373639, 971353282, 94549182, 801593457, 254831325, 172562584, 102768256, 1056433088, 482698493, 158563953, 741147895, 175317052, 22419572, 421122483, 373848163, 251780050, 408917768, 20702375, 851678452, 48038035, 567563969, 539415660, 149976256, 107082354, 752154787, 825021052, 788687849, 71842809, 750252829, 245937942, 767790909, 187233391, 700052568, 567104988, 476682661, 207065552, 596322140, 397186394, 841461894, 382909510, 938591328, 296259539, 841178504, 791173112, 312168237, 1053498594, 91468143, 810770790, 224115259, 1018874729, 724434684, 18608681, 630274448, 298765495, 299651241, 98914945, 677162506, 183616123, 977209122, 715734562, 199121762, 660968724, 883560432, 766763895, 611976108, 746769413, 433901164, 307807263, 159350117, 172158072, 3757170, 688248437, 257203660, 43922617, 984300731, 237939015, 345025176, 773444945, 153234681, 363060047, 669905169, 158215544, 4594129, 779377080, 981834096, 802026911, 195138161, 508682109, 326004945, 381993096, 328412319, 226384900, 249314545, 993762885, 609342516, 25332958, 794871156, 563304740, 91235116, 125736870, 72917665, 901033173, 670688815, 639964438, 981465274, 952289526, 828772383, 299290196, 636423025, 106253945, 575390775, 1045744028, 277224880, 271692764, 1523293, 930930431, 479603950, 330160687, 665030830, 522536333, 382912342, 316686236, 496646882, 725322092, 1005184464, 62829111, 573642949, 386414490, 180409378, 168877691, 847600901, 705668763, 9325851, 996756095, 995000493, 837458310, 537022003, 981004674, 660579806, 917472258, 425173105, 98762412, 498572368, 125393687, 309772635, 856826385, 308620943, 494674051, 63713578, 1058279500, 486436618, 415796353, 179774605, 775836654, 980061144, 803923836, 272789658, 521854928, 461092468, 997580339, 383149558, 784537978, 385266977, 430436808, 373018566, 451910143, 799663288, 896017957, 643587283, 637329129, 216307049, 280512618, 209808691, 872418860, 1005192034, 141821271, 1043970476, 570614707, 980434783, 818154398, 103711661, 364321413, 781337097, 787330443, 724119451, 613831541, 384177150, 561031419, 244888220, 120380198, 1007897371, 406315935, 693279181, 969756144, 2778648, 1038495009, 851608711, 898609933, 842670844, 356672536, 1011279513, 634896266, 418591736, 393509626, 77133454, 891063950, 353540073, 586772306, 1004007800, 268420863, 827737963, 525418653, 1003197372, 167013443, 313171436, 591766385, 690981505, 881077893, 507543534, 991156091, 234263015, 931801158, 244013527, 932097109, 427608067, 866089422, 946746548, 748414198, 30304221, 334187750, 420241529, 287993038, 252051185, 948973103, 195346405, 764490183, 663446812, 118349009, 989825510, 957551675, 461851668, 132574083, 105197549, 383596936, 451153576, 1015695314, 633378313, 288164071, 668773887, 43895854, 630170958, 727934490, 380231174, 328121378, 230470875, 42231494, 906314987, 666019334, 806974916, 954959450, 1065824590, 126727316, 745614725, 38282485, 362501686, 1030309327, 89633262, 813732877, 543271232, 743214016, 927575524, 509658399, 849809338, 268756937, 257578226, 665894512, 520708745, 1032634897, 218946439, 905308183, 681993127, 291552372, 553870407, 504160894, 445092052, 666744462, 1012512110, 979874020, 394912719, 125868486, 1025293329, 816368045, 425301293, 525909030, 8106056, 892442094, 29135282, 337253828, 624057160, 996671947, 599932189, 1006175771, 256576092, 1031358710, 489168393, 1044116434, 984857137, 971304437, 91353955, 461660950, 950320142, 167650554, 672956388, 438598193, 633324256, 188865524, 167775971, 510863960, 691633286, 619363042, 266398565, 1028969218, 1046467287, 978006274, 654577336, 823389860, 296763203, 292653859, 89930682, 454595555, 1052134952, 541217656, 872594218, 587559598, 565689340, 817098330, 984405917, 966387966, 879036622, 188541713, 740255469, 448379080, 767278785, 611759012, 431100043, 700638286, 424896961, 663689532, 643076411, 829686626, 992513912, 1067734200, 1029654476, 118581231, 28452630, 738414022, 818529472, 965217316, 535902828, 223447113, 631553713, 55381655, 98675696, 260253182, 656740021, 141429141, 791918877, 182220338, 563403352, 40895781, 568647164, 952100267, 754523799, 486837763, 918576584, 738174633, 368649571, 305970006, 425192957, 57237327, 1065504471, 340651155, 142807018, 670315475, 510137443, 868354367, 608180921, 23789891, 786231848, 920174239, 867897486, 917155035, 550537370, 935354139, 607818977, 160742272, 607092147, 80097651, 690005682, 681635709, 730088524, 611390109, 941692135, 807439571, 23880522, 767763704, 166947212, 139874353, 909727755, 813941458, 917523813, 43983819, 127702260, 349448205, 1004812303, 218276953, 523061643, 997498546, 510410169, 600720298, 31456622, 830021220, 968299271, 403913155, 932166770, 45047647, 864220475, 277539541, 1004966339, 253816153, 837631667, 243581191, 1028946, 475848959, 654443213, 965393376, 109127219, 754351148, 496302572, 317964094, 971224021, 896573223, 834894758, 496599434, 733900105, 105810629, 253567454, 839265809, 444986665, 16603072, 263007572, 145381335, 569001093, 693356572, 771385792, 661129477, 331207505, 922051273, 540930223, 1057871006, 978799352, 655019535, 448436206, 229946615, 530099788, 167868821, 783561269, 738366762, 185367932, 595699495, 1034767287, 599043550, 220060691, 746334817, 99744386, 252789843, 236487748, 290142808, 14680104, 15661215, 1014021064, 242101597, 777009394, 178897946, 192380167, 561882330, 213659945, 547130601, 292058966, 161895690, 503134521, 299348700, 36586811, 868837041, 666457114, 513183853, 217908007, 613273657, 683111280, 767640673, 455841527, 489083373, 515150287, 943665767, 561909184, 628260915, 657922250, 101878553, 323652916, 828260203, 824976989, 772066654, 808133041, 138838086, 82058162, 227242618, 992063104, 844138200, 58141148, 1050649577, 131992168, 1040160286, 147598023, 975956857, 787472824, 676833738, 28110693, 618564377, 898250577, 834244970, 325032728, 227499996, 800699074, 315789611, 777804414, 478703609, 1003988139, 108431837, 85381250, 499438233, 739058776, 670594148, 696992810, 549560971, 574127305, 268508997, 381021717, 1002674292, 980098825, 458149847, 373454453, 85405979, 925440982, 914105248, 57099559, 12597586, 771671850, 6183632, 1031498289, 353528548, 669560134, 1049685096, 838851757, 687829270, 505391208, 598585393, 320399811, 999980085, 697372628, 906851303, 426418589, 9144979, 768363010, 81486006, 1060449553, 1043280414, 353356606, 735365061, 6369901, 459881898, 360507186, 864693328, 439477115, 402399819, 1025664955, 655037727, 487204523, 940611460, 875060771, 477596697, 880934278, 767542502, 503396391, 892458074, 637579148, 88623357, 610215428, 35761648, 693702329, 1050639210, 44913715, 59198747, 817751970, 493936447, 300630714, 497685133, 1026285191, 838300613, 410455116, 656831006, 18112701, 315937073, 487037612, 53764781, 100578501, 566279625, 252538525, 333528634, 275943943, 762497332, 392684985, 61765079, 564121660, 622638323, 79323942, 49692846, 557888778, 209338147, 555757921, 822091503, 490676888, 956084947, 667351493, 894828231, 266628892, 256906052, 109519345, 399568751, 444010037, 492962723, 999951995, 482528788, 631108946, 627418273, 220752641, 576866501, 252501779, 545666630, 409200839, 63997217, 189354721, 420736896, 539455509, 2262843, 204044304, 840219410, 119261241, 307464116, 622746907, 820979569, 449353027, 113080140, 673873442, 787607900, 58197958, 133029263, 192923229, 305734524, 68482562, 246456411, 929253290, 368837739, 724979858, 1068865213, 563888662, 863022161, 447057104, 727483223, 534799013, 378439427, 1057927020, 904582357, 700047421, 166544165, 92555223, 234919407, 588403187, 712787411, 590380967, 1059615218, 1035429205, 485601944, 880691073, 770861001, 628700211, 21348113, 738939553, 98368019, 404197105, 734569418, 572201878, 581497647, 522431548, 852651532, 748587956, 836405149, 657567279, 307212025, 608752060, 299204003, 945649913, 292778165, 872939293, 937048082, 621171193, 714948287, 181999233, 302985423, 1013143299, 172047008, 333870012, 598205481, 663731748, 652582561, 949630092, 518191729, 443868936, 368330161, 127570972, 160217391, 846324835, 63368158, 704140988, 92145049, 946687933, 177981919, 134911860, 288322999, 564418039, 792381041, 918893159, 303771194, 706158184, 881971356, 366979290, 1017020693, 909596207, 295492411, 45501391, 362807027, 527189183, 182385187, 717680603, 100245701, 294756849, 583760920, 332576669, 354342078, 1070217940, 239949777, 984268948, 1041897708, 630232902, 504236936, 86526242, 324563356, 229132568, 896243910, 679097447, 433187139, 960446320, 479979843, 991140932, 462733304, 427547232, 178196908, 779047808, 626874450, 581126485, 2123778, 40713093, 20373140, 59923901, 270005046, 857342071, 1027001249, 1069123197, 381660709, 414066666, 301927036, 518790952, 306436826, 772753019, 878550711, 1037100472, 553180146, 684044778, 790580516, 1055609121, 745339143, 478599570, 1066137727, 586178603, 6012966, 252041622, 1026839516, 259044999, 14353770, 883221206, 666586087, 160450091, 830574720, 628456887, 276527649, 260734771, 434681841, 828057925, 801395706, 290200892, 447780430, 77607322, 206862196, 551527542, 913793693, 407527023, 483030852, 650930510, 440977607, 488527010, 806353371, 1050270110, 817825092, 902436005, 320147535, 275741568, 368436635, 163226738, 883411543, 307474735, 394585185, 523101320, 570276242, 839079928, 444456260, 229867677, 974917348, 533520450, 192501943, 646255765, 89615770, 972135359, 69522412, 565733105, 217037750, 720882454, 544021029, 770454658, 1070409010, 256675371, 288732761, 789834372, 97933353, 120271457, 604791610, 581327443, 811358168, 718090869, 1061359568, 601377323, 226418127, 619103415, 543656035, 983981543, 855405024, 1003169109, 187127519, 185687742, 237135976, 883743503, 315623067, 992379873, 529586329, 606829147, 392135287, 751316049, 916411370, 564503406, 707755426, 754395461, 382319147, 170405304, 991474303, 453995827, 676778550, 277576744, 234593124, 991339272, 267239622, 931644402, 191297043, 565995747, 679193680, 55097478, 496237363, 775523906, 71146075, 401136078, 724058996, 948906365, 418053894, 744198636, 802042717, 764549274, 803228396, 912462028, 448996325, 823139084, 5605139, 356281163, 787292458, 749758557, 489226280, 130504370, 160417806, 335356620, 448839811, 998005542, 920503625, 914328639, 624809182, 467525210, 710729067, 445894323, 758365047, 449878292, 616570565, 952294357, 449963199, 644523345, 234799506, 347954015, 1047241395, 420667152, 406121020, 434013844, 684523203, 120077504, 294762643, 797399794, 300478931, 1030461784, 446363349, 1072650254, 874533028, 105274836, 897746130, 34419696, 175673066, 1040715725, 348479403, 493779415, 303818967, 724300432, 211075354, 531107329, 51036826, 886749419, 23422662, 918640305, 404608851, 703501911, 263085071, 645327365, 127455319, 600019796, 764060806, 644661217, 1063501684, 657869606, 600318133, 505178232, 970403285, 175810409, 659595488, 409219800, 968910296, 889157661, 75918966, 294479714, 481070087, 442364890, 467618829, 734367101, 981984723, 889528818, 654859376, 914236782, 157573391, 966233856, 475314415, 247694875, 276903719, 423902692, 240630594, 165258447, 336060137, 663097257, 939821025, 696738760, 311508488, 127325956, 777895898, 362409412, 969016309, 238693058, 55198537, 50202014, 635760333, 208553912, 413430580, 394674731, 681501281, 112156211, 156076597, 350056666, 485058988, 129383261, 799889684, 473984972, 467378068, 626076013, 397340459, 396876098, 786576951, 904671396, 908079384, 505583543, 118395582, 875823528, 503543398, 653400303, 324398279, 31692630, 129636728, 1051636453, 472249838, 998104763, 467825228, 722688479, 560596686, 1056263557, 851326585, 924479714, 570403222, 735324118, 415605251, 374004069, 545330314, 491903993, 1021001906, 824638478, 732202513, 429146794, 239581727, 1651950, 595694226, 69132777, 274138249, 780954341, 186753225, 959658560, 207572501, 820927909, 106112453, 377533666, 501082385, 743320281, 1034672042, 333941124, 121121923, 506167006, 83042729, 684726805, 495762464, 261671885, 1041554885, 505751147, 398159238, 755020364, 52556490, 154198352, 40734502, 332456046, 161878529, 1035642446, 825942520, 1049898633, 979757138, 44787446, 439865590, 945203815, 284403745, 441963182, 80900952, 652320616, 331174653, 1020138605, 633881067, 603858390, 302736554, 1026649560, 904893534, 833792067, 559718600, 201765881, 305126919, 480658252, 605064874, 849253260, 210352087, 267354231, 693161274, 390333060, 661991052, 590573707, 60945445, 1037212476, 520096026, 767202872, 570309825, 580808604, 747894567, 617361322, 81743785, 52317737, 315977723, 493489928, 544055728, 609456364, 433975211, 614879435, 418060208, 472342196, 968726715, 239125531, 864460840, 1072296573, 723271606, 446277250, 307462325, 868813569, 748351069, 143327216, 384651925, 158294073, 587308714, 96349337, 133266194, 380624319, 668330586, 885044638, 638010123, 347755591, 567071806, 317864739, 3090516, 355142768, 470339615, 46808470, 954239349, 515741371, 802712433, 634043527, 807090407, 260009661, 720150521, 276293712, 533741905, 730536339, 518705074, 843447925, 638264356, 619786912, 993956183, 850549463, 657628467, 24245103, 99497335, 351557550, 32392551, 110450746, 697038575, 198036714, 651996910, 212330670, 854176199, 653703301, 835889981, 724106528, 583134136, 239940737, 339352609, 949121884, 104898781, 116420013, 292466146, 557981159, 38009224, 265108655, 276700216, 783817719, 529929599, 807540055, 642503058, 873726197, 12337360, 821206592, 271602258, 87457080, 314692620, 605745227, 373564279, 577684978, 591189254, 319086621, 617046065, 749744158, 893424827, 658042499, 228529235, 166280014, 612561297, 868617874, 1007580440, 529449020, 861801312, 1050519080, 269436351, 177571089, 1034106061, 82737018, 590487492, 106357823, 258664340, 436894342, 447976291, 68048630, 263783613, 892654793, 1073116665, 480026751, 971796619, 385932364, 155167798, 648031372, 213788966, 761091410, 428855086, 17881949, 422515632, 672962860, 99798734, 435719705, 355109836, 901538580, 1015953547, 473651860, 84782178, 974645711, 785706354, 307461282, 950261346, 525174352, 249045752, 433646906, 372577531, 814917059, 928897141, 183657157, 477034878, 820061965, 211406127, 866046970, 664075484, 710949073, 24953321, 403963471, 51124826, 114170246, 56755407, 490424744, 357234204, 572269111, 298766284, 458579276, 513650472, 977538840, 854804697, 281387668, 418276938, 723944529, 337299790, 535612155, 284630569, 399391762, 116813102, 775816177, 26908933, 574977864, 45844948, 553843421, 549606595, 162525038, 1045569033, 808357429, 192137805, 112575232, 1058823629, 803205649, 505268980, 428920467, 850922509, 720930253, 748107453, 263057259, 522054904, 84867354, 76820819, 365079484, 881894384, 709871370, 230013540, 69199471, 172528856, 90194732, 449782701, 162678377, 1030727535, 372455382, 411003449, 228105414, 981797703, 433669853, 532118831, 340501542, 1055746713, 923645421, 483476574, 1009877812, 717414234, 447377128, 469116884, 741264940, 1049048312, 616349583, 1029169750, 1044048056, 643474973, 561047503, 230266761, 825817166, 399539424, 430474526, 911412049, 937331452, 428800863, 650838567, 11723986, 435652774, 938371098, 747018790, 45949701, 821743654, 282552408, 831189780, 361369041, 2953151, 609652273, 124327955, 639594977, 164906061, 838644042, 907507522, 885563647, 308525674, 893018503, 263597993, 515465753, 278771748, 9085845, 756101580, 1012546757, 43301874, 746419285, 412655155, 284859766, 395569488, 831078695, 844427337, 368411153, 638202692, 500496991, 812183977, 930031916, 204733628, 583354301, 862366433, 145022178, 520485747, 1020098912, 719052749, 792434594, 415584795, 143725380, 805233983, 40045375, 727001381, 584100990, 456191242, 386342039, 400938636, 766308397, 536357652, 746879756, 378469039, 804395831, 664468937, 34884282, 978905372, 929912601, 315329392, 344735115, 669452121, 950920486, 386817847, 986079201, 558173380, 510189903, 936888528, 104521349, 474319812, 985192641, 187132473, 634945513, 685890820, 580492333, 912790712, 279683594, 515808524, 282371804, 952074517, 121617896, 739234271, 457494966, 595895323, 898465055, 702442024, 1001729756, 1047560885, 962771349, 898014613, 612063850, 183635377, 1063598028, 568484500, 541822139, 639176721, 916771422, 515139193, 776337187, 152170296, 614443402, 992472191, 617067144, 1014274207, 907399604, 785144235, 542603384, 551933830, 1059449254, 767842122, 205487580, 533491080, 394064175, 923500432, 421265636, 493554103, 720654358, 662465124, 619230383, 774625391, 380728581, 706226631, 532080220, 141641321, 812399901, 350057456, 857203141, 104992159, 972885467, 997644290, 801806373, 402882417, 393705465, 787605649, 687077755, 874852340, 537612397, 317893577, 883563413, 968681813, 255806020, 830292827, 866679395, 853714615, 552004424, 751341685, 464498361, 750431575, 687700916, 417530095, 568741810, 476202969, 1071292135, 469661701, 512017762, 728907353, 610823460, 156171581, 329329885, 399110235, 605320866, 848689158, 806638866, 739764167, 353186923, 292844273, 720270348, 406784791, 512527117, 5122293, 125142514, 293006419, 861404721, 482849089, 184389999, 978467211, 357393197, 226696599, 891233443, 657190824, 1045784172, 941065743, 310668933, 972536321, 763266799, 513183702, 498481464, 489130069, 1001814507, 980389699, 466216389, 39319506, 155442492, 1049064812, 17816978, 253085596, 970024347, 517790646, 655921231, 947455485, 557057226, 11192338, 842356944, 614538082, 160909465, 911701721, 417445796, 57408685, 507353482, 771926112, 996335034, 367886589, 716908081, 158247059, 256589252, 699514139, 898372829, 110452430, 909758119, 681690647, 812029553, 194220824, 243529266, 22238367, 219898375, 511005144, 568697098, 193777198, 551941845, 1006620189, 334796085, 86768754, 903668167, 59657511, 916278894, 946719583, 989878736, 241903673, 406630165, 698068151, 1010647393, 265541950, 78284605, 706528143, 751345043, 715547300, 147950266, 502814516, 266243207, 329471744, 1000704928, 48273752, 1030363025, 24735016, 88053808, 901113159, 501215023, 715917278, 280166308, 692047342, 865001607, 301688114, 215811762, 256360184, 265195749, 607928043, 164638165, 386666109, 606827841, 499714976, 587978755, 349509160, 150097393, 163553641, 109161534, 913844411, 896324351, 851012056, 151055882, 164658850, 916298573, 400301525, 872074578, 210247329, 43096452, 860111654, 887470779, 918084477, 253145789, 770604111, 362048974, 17039142, 183517016, 284439590, 991290557, 148456502, 612419622, 28138154, 352838829, 454802568, 89497810, 1051599687, 1012372613, 874091829, 565686366, 96360150, 111496148, 424199499, 431961237, 547494980, 412712048, 174213705, 675706103, 812920558, 571151298, 515756183, 905270357, 242573077, 323551156, 408656831, 377049431, 731923485, 505216213, 1050207813, 1072080858, 578559249, 989583127, 383531652, 305788236, 835682506, 557336530, 237733707, 866236764, 999382676, 860336807, 501185135, 716889240, 800038879, 172459746, 890384536, 889086424, 453424787, 989850395, 59830304, 789688114, 1000733515, 141112443, 394477720, 1064017329, 472221531, 981373837, 504535662, 554342645, 834755843, 371601092, 278078336, 767120109, 222332824, 21489729, 169937249, 910575350, 104856828, 164194029, 274627410, 188293093, 260746110, 591344348, 263879414, 169063462, 960740684, 196652372, 482867521, 878756554, 4475450, 240562122, 772648861, 159073811, 1031258015, 1009540954, 480286345, 436983203, 59499036, 975366259, 38141744, 501935380, 157955820, 400513208, 888562060, 185771963, 607160868, 813066149, 629745690, 207253544, 779987017, 595449327, 925348213, 54863829, 979379669, 260335437, 471990054, 966599001, 357108213, 408407602, 108118304, 536607141, 269857171, 408013523, 287577700, 84350731, 419558846, 871565531, 1039031494, 82172968, 752762187, 1033211333, 52226063, 251969976, 932073977, 899064745, 722716394, 293138769, 554744293, 14542129, 290933103, 111036574, 264777612, 472431918, 642446190, 300834254, 646785994, 783205663, 71153694, 1022936283, 381255558, 861626733, 168893582, 137262696, 865425881, 889905993, 212181401, 1037154654, 230199857, 116653190, 89683468, 473087763, 39175758, 107237990, 648031891, 855800898, 28716237, 319191862, 155754305, 36809205, 224323012, 924376670, 453050074, 157514994, 517396614, 782227696, 277104381, 969372236, 61589122, 36642373, 122365493, 442803929, 1005134971, 82355182, 585815559, 621166651, 1023621061, 982110249, 383194721, 454988374, 776266186, 792829083, 72225790, 399314810, 737394351, 268894299, 852209869, 478931167, 230828287, 2424480, 167831669, 1037982412, 753914463, 816426199, 946457902, 758799261, 977189355, 249939316, 250817580, 988204403, 907697573, 114696667, 789723379, 427870534, 81084523, 483347336, 76486698, 753595859, 618661797, 419908232, 372322140, 484618431, 878249016, 676932173, 663443330, 647979840, 378755586, 722819735, 276672492, 32416716, 704038978, 494486866, 805192913, 295571024, 328890151, 127324971, 1058400539, 502170929, 108163137, 615241398, 613670521, 750977336, 352544215, 353091456, 921804516, 189280074, 170509366, 993912731, 180985185, 754323804, 617084711, 361358545, 936621410, 83947890, 209503844, 472510578, 781060914, 282906335, 5756954, 556319510, 57862779, 156530485, 527286769, 354770535, 163315589, 158232035, 847084854, 331147646, 558111195, 58541440, 818074646, 25199033, 806616328, 766531416, 672575165, 12842613, 267063720, 387752534, 114231539, 85858356, 281153687, 456968705, 328818189, 867598308, 111959453, 146391369, 991873368, 1047636522, 1069463876, 379320470, 1002843939, 522430005, 20087311, 174853741, 3337131, 323105020, 790829947, 771339133, 837163658, 979712623, 1035159037, 122880422, 1011661379, 298055681, 574438803, 453189562, 845927516, 104554152, 86643704, 825759564, 1041580366, 49849785, 131666042, 78376786, 614052810, 871422144, 715340702, 178180929, 32140830, 984074062, 133304223, 643260524, 714188230, 919041372, 140069414, 577793829, 386927069, 807231920, 590990295, 1061269147, 246340091, 906164035, 861428458, 392629910, 270999606, 920959993, 1051992003, 283681083, 128640959, 15016969, 956110786, 3663123, 733434801, 238947394, 939865707, 703644023, 835891899, 1047518604, 71687722, 106245122, 162995800, 142535510, 365297330, 387978791, 604012398, 809569555, 11136720, 876485934, 648099624, 382437672, 891899648, 539786643, 542400796, 640824584, 981119207, 624177088, 894995100, 450742873, 668888445, 247239107, 604162976, 963325597, 235161784, 565900605, 12184207, 162143095, 622217178, 493706598, 840235554, 764289888, 1010746109, 374996704, 1009181665, 749991079, 639973130, 357506424, 473114272, 961619495, 984874955, 1006222524, 197548130, 85662296, 281221413, 208116097, 23572001, 969398041, 1032056048, 139030540, 682767957, 1018935037, 985145031, 411826429, 509128571, 226240809, 808373720, 925793644, 221687805, 141319069, 560331807, 218954756, 1012356231, 681954874, 248197250, 633046447, 667412589, 784804009, 204352491, 922314953, 219932521, 284764196, 413475499, 840083693, 308093564, 179179352, 255519259, 902086496, 41328720, 724353773, 695571692, 509718932, 409239859, 811253519, 52572493, 544044948, 120553508, 123321144, 287580150, 352284324, 182160796, 11845638, 97787168, 111195142, 229659057, 198515594, 415260797, 937542639, 27076581, 707694913, 325739019, 673116901, 579111418, 991709403, 640246667, 49262035, 939879415, 479122076, 241814932, 795490811, 233132355, 506916623, 375072444, 956738481, 628329888, 154286308, 558790930, 297762184, 505661814, 506664409, 430307108, 710710211, 927561602, 432425486, 722963384, 634898165, 1023839934, 271941064, 922083730, 248818282, 271900294, 600179437, 559107439, 444031629, 337449970, 344047559, 118406897, 632842337, 379019600, 45519792, 214548064, 121349101, 747737848, 186318056, 967017877, 791149476, 1003996356, 952512187, 696491533, 537713592, 825509670, 10500779, 518933615, 38005622, 470021857, 687891862, 511032179, 763092382, 832748223, 129405165, 65146857, 541311347, 374621294, 323294880, 551874423, 361356347, 686863311, 11577683, 422861735, 943021789, 715817212, 842913157, 411465914, 499381725, 517128810, 59179338, 1021578692, 643383328, 679967581, 48121832, 1030321868, 230150976, 179972171, 257194256, 220286863, 918547229, 128845133, 182531615, 1008582423, 432940755, 393585186, 482431091, 700405123, 1004970594, 400693038, 38357027, 840301587, 1031459253, 521892945, 541901407, 532114736, 325171197, 578883715, 1072935732, 1015477754, 179709079, 652964686, 520802191, 602190621, 1019271712, 204010729, 406202489, 456044497, 279572414, 865224376, 100691555, 183870809, 888228962, 405896575, 437981531, 777041605, 862804559, 865405183, 123612025, 255213087, 728456965, 487245184, 329661777, 492157243, 666412227, 742108159, 635336183, 695578889, 130823080, 36367025, 488991456, 531675856, 96603150, 46869331, 542342039, 732511535, 591792817, 262359756, 867239820, 1036887865, 65130863, 580363786, 349418872, 305896359, 638681641, 1024085099, 275401803, 173031465, 894328336, 52411876, 394846044, 677957496, 404979060, 872040122, 918839703, 53681140, 149039018, 753160847, 337249900, 430768741, 1050981185, 96391170, 1035477885, 910267985, 149765655, 231569508, 567144128, 20750786, 244775029, 215573846, 511019232, 980488051, 870820263, 14432395, 928843920, 407168545, 139972867, 279170973, 745687196, 301117280, 837390268, 275287693, 884017717, 595001686, 131511473, 655808497, 990284792, 311411011, 737679661, 192672814, 1025910251, 530034423, 985408713, 526874879, 376393774, 901262990, 145334499, 613662021, 752339622, 118749423, 960051057, 354569019, 406225159, 753459610, 184609168, 25081043, 22720290, 574476225, 644735932, 154086896, 220405918, 247305598, 1058232428, 796830933, 225077799, 195499943, 552563827, 283163388, 240957349, 547497423, 381808676, 1014644483, 106067128, 207706986, 27937353, 620924689, 329942447, 654502043, 651248412, 930351674, 478158379, 322119723, 700503424, 268134499, 1035992235, 379799859, 283507049, 258481728, 380189473, 575177885, 236852629, 1040761046, 961267729, 180425057, 624249676, 276937583, 943773099, 989812180, 930534807, 710115736, 630508405, 937419264, 425267908, 265035028, 966470837, 313825814, 290436118, 880233014, 859435391, 447968476, 430199298, 421032285, 453775431, 109736706, 94634059, 54831582, 952972555, 941214567, 1053276146, 592373663, 66276806, 890629050, 683818422, 354407566, 748662917, 717416391, 905661027, 255524191, 624754459, 182772569, 1070703414, 89040162, 815085246, 516872620, 244725060, 440817155, 215119944, 623148429, 554617270, 292623663, 395096050, 786552189, 902262444, 118646395, 831742272, 666231352, 377999408, 220128789, 193707088, 450418867, 357041314, 580345397, 400804921, 83277935, 837201917, 47799833, 491522897, 608759150, 889373047, 23601562, 61527520, 697416010, 849030559, 228742256, 1047632099, 457074803, 163642068, 372313793, 708203233, 194118760, 830915275, 642241979, 1019092251, 310718593, 567768737, 1069529259, 672912565, 418892290, 379270143, 290761305, 924046039, 130458824, 590116023, 859240136, 550643677, 602738787, 107654398, 955385322, 231491469, 214633019, 337278785, 543032207, 498581962, 605934938, 1055241299, 712599991, 533511729, 919505063, 490886311, 513243729, 652144520, 84588639, 301582131, 75661443, 303871427, 42640069, 731475138, 185472268, 628126782, 167766453, 261292979, 31241900, 799083016, 227427634, 107195007, 593388962, 19947176, 266417997, 147569501, 65833689, 109214616, 756183469, 774140525, 731034661, 670935274, 263993112, 639907537, 630265455, 870481549, 1057366405, 741722079, 936075591, 419580599, 859549563, 266741113, 316503225, 724467625, 708608774, 89408247, 626406593, 606531946, 82150722, 503551976, 25429232, 641566189, 767102878, 142812651, 114316521, 457363819, 725136378, 240478321, 953224076, 22699070, 225195400, 1017186567, 681978351, 478324777, 1056706984, 618333171, 651902423, 500285736, 699677639, 232393352, 586886505, 680394713, 325185510, 13887265, 311353785, 284062358, 652785518, 810246974, 442307680, 705989790, 755454283, 605230707, 183242174, 104108410, 686542857, 103888393, 563322698, 801663081, 140386611, 694144510, 607145668, 222855738, 1006587875, 1039923711, 940344977, 847755247, 669949536, 783859782, 661956791, 97892701, 64032276, 1022460369, 487161113, 535067172, 912527684, 372914597, 99866758, 582494241, 3931596, 615503374, 275192691, 670576667, 691219260, 403522273, 938864314, 393131547, 403878177, 493039166, 585433477, 161726103, 779154205, 715797792, 557701554, 586720866, 291599347, 948977170, 725586853, 314889229, 924420760, 601131894, 326401876, 31487304, 544842705, 927185720, 947643869, 1016853262, 511997377, 515905155, 437673507, 413490575, 539582880, 931347721, 605424843, 153750842, 937834983, 906533828, 628305463, 482208613, 754231802, 959919463, 631669514, 558822594, 364607968, 28421993, 861343784, 538885086, 184229190, 240259257, 323459394, 276309381, 723662224, 321242516, 1040900508, 69915392, 875713772, 155450852, 75231036, 712657841, 83291903, 934918237, 692660694, 970014324, 879115414, 391475671, 981475342, 406305542, 669750416, 428678151, 841455037, 65644971, 130394994, 275288004, 807118991, 890275363, 648943015, 642967208, 258366226, 141132910, 98236418, 49989041, 963421536, 294743993, 1069402768, 372562084, 909447799, 951340344, 1006843834, 857089871, 189016908, 77854072, 126020437, 1050042208, 901435106, 684889089, 700812030, 18398405, 231709673, 20716026, 882343697, 781862719, 76436905, 210798014, 316767242, 843215342, 718464814, 569321710, 898802702, 496675227, 122287309, 575189419, 122733421, 46447838, 250910843, 841997376, 272343441, 775710087, 493602902, 758779388, 784890430, 17768532, 891172239, 777671430, 252392254, 115980539, 977002911, 735492533, 438590963, 357864991, 601454637, 291835499, 391423107, 24684185, 57949348, 66856254, 421130425, 143297984, 184871063, 468598608, 577198617, 108447677, 368675209, 908172197, 285071356, 1061679960, 217740807, 105893030, 967315801, 774143080, 63935386, 942696818, 727555037, 426155594, 106722783, 846199586, 111486225, 151309355, 1012349771, 679230291, 926706199, 297630781, 850951429, 826309425, 154055269, 118968294, 983856054, 570881183, 414108883, 527174889, 991724407, 847310158, 782692232, 693720938, 337668423, 475638853, 10208935, 986097178, 792087411, 261716514, 239577090, 184636435, 1001890601, 1070920179, 447869766, 1066115767, 468860025, 756185039, 143915314, 281402255, 577257958, 726638820, 318025935, 688929357, 1046169990, 833809859, 231683136, 366042160, 589370916, 1028761401, 97762238, 622129564, 762003657, 583972129, 956229954, 484536444, 128116913, 204797371, 321414846, 554170193, 341388396, 676042201, 993897704, 616985369, 952205768, 553796708, 960980086, 7475417, 956578312, 1049119170, 501602594, 1060252891, 471457321, 654782034, 488153009, 792116708, 574443783, 169407094, 633160407, 1069341892, 598925173, 77992620, 136526423, 195107538, 623656520, 849218197, 113781274, 748688312, 717541751, 500550643, 189799734, 336376608, 882412591, 238248250, 897965971, 893802636, 328072355, 660908190, 403701999, 664744085, 701110581, 585875453, 636725960, 654595214, 842608550, 369162755, 102446096, 983175849, 921667262, 389627589, 537708777, 145229430, 932849560, 153991224, 697312051, 735244376, 538227964, 769588966, 297301476, 271983141, 522998033, 396609769, 545243207, 235453463, 702877366, 693203431, 798620385, 172643906, 662823314, 532436540, 450401853, 568785114, 578772688, 932418451, 391419134, 207119448, 1039385816, 1063195720, 378879883, 641211482, 314352067, 745103738, 359230554, 630608915, 17302788, 678808790, 690260895, 693350226, 551536514, 513108643, 670061842, 293919557, 17974470, 742574141, 330175770, 191108031, 675546095, 211901378, 928243726, 176502626, 534426532, 762383246, 806946420, 726487571, 672258771, 998245131, 84132729, 690632942, 681507560, 345003808, 454421370, 89099136, 809104254, 93077824, 978448444, 136976879, 949822360, 52117471, 544660310, 763934078, 925953273, 460175497, 511708640, 611842096, 297894372, 917206810, 617410351, 880650787, 975489504, 1029557990, 1028457141, 811699886, 920536908, 553210147, 361484612, 655830332, 227882621, 727839490, 969124715, 604735792, 678477395, 1016050953, 1207853, 767772536, 517197648, 575644007, 533834453, 202606271, 616871300, 304791515, 422409525, 961697597, 660307136, 468874997, 862560204, 754348470, 430175605, 525847313, 810985452, 55959007, 563466434, 550261102, 338754237, 263397739, 141571096, 507175549, 951704687, 834549169, 360678725, 851174063, 911665066, 962236831, 471362104, 620977217, 951564418, 981890302, 42326936, 771826458, 719956027, 18520339, 494839072, 14257118, 957518474, 903886557, 601860655, 259867262, 1068187888, 176253181, 380518221, 644159550, 876958295, 441162711, 739430446, 906584821, 571686162, 254176497, 315391516, 915152932, 949797581, 732140414, 995609519, 288993685, 933742, 351765823, 131393403, 41603890, 350258378, 843481162, 58672618, 858833689, 925718407, 1061028993, 746695721, 115579242, 559167152, 545913981, 15723449, 561693002, 956505556, 337616085, 434233213, 721171873, 177271226, 579867141, 138213378, 493040478, 993897586, 628494866, 745018718, 347883916, 374272985, 588696218, 894982352, 213864366, 264306410, 309840200, 596323597, 648058578, 760753012, 986386345, 629589192, 758174005, 424228810, 738223664, 621826463, 787564478, 805449751, 754323968, 585795038, 614331418, 216413033, 856238942, 622839178, 225559277, 903859075, 160625845, 183724992, 53235781, 857559505, 547963597, 779716553, 872877291, 577210202, 902301555, 124783048, 188375973, 724334332, 596196660, 471143125, 539741017, 271758943, 181596956, 1040033234, 673804555, 724875892, 665712492, 360992472, 567301800, 715074271, 720956319, 786192367, 620489855, 185359107, 897276685, 594198575, 521154961, 606714231, 16141705, 330796348, 824551947, 259906805, 523565713, 589752726, 949623465, 545829071, 345113108, 532018648, 11398422, 705024819, 826769205, 513319024, 928264227, 748852422, 668071162, 684243249, 754671583, 899548711, 315034861, 223804941, 377983291, 90074862, 662226003, 653633952, 354563136, 52852956, 526319266, 486219382, 639161037, 703341013, 1047660625, 95235587, 868117760, 107727553, 109541404, 532122881, 1032890581, 126528084, 257558093, 660824978, 870545504, 35812248, 53098340, 965060391, 873327080, 446094439, 537866142, 520883731, 50728390, 632927206, 1213876, 93018649, 235693989),16476), 0) + } + + test("test6") { + assertEquals(Main.minOrAfterOperations(List(419903322, 688313459, 980520565, 778186531, 728156044, 624785199, 657345095, 600477471, 84801537, 918679624, 490711431, 441138238, 213454370, 974411630, 826264104, 607720179, 902524014, 444967370, 862247273, 242875835, 910165871, 234085344, 56194074, 669961614, 580482922, 102842631, 838733798, 865213362, 174902297, 324262124, 43612545, 1052603088, 448258986, 78235688, 726214989, 934622879, 956710518, 989435480, 705776991, 447074093, 808023410, 556483273, 104533741, 879637843, 684408412, 622120989, 795161136, 783399911, 813310226, 1030907029, 686190807, 413288229, 1004166644, 1023022180, 129497557, 354107595, 1065413816, 290589625, 79916667, 284304480, 332679726, 796032677, 718422367, 598059210, 596283479, 443182717, 229645917, 860349771, 231040456, 855848076, 873894335, 4358310, 193369625, 156251499, 208591385, 378646994, 118986689, 775540593, 840938462, 989338504, 84993787, 539962592, 49170592, 1065398849, 655839213, 790826529, 313701856, 564283566, 466416494, 836304380, 147697308, 954973000, 76617442, 1048824033, 887846413, 254276909, 420038139, 905768190, 703530825, 792067153, 199839840, 407749187, 351490476, 991498362, 384750321, 443082217, 778248150, 1002636021, 1068542543, 374415959, 1040971587, 945025935, 799778208, 683471198, 162995731, 656866562, 1071611333, 791076753, 736144094, 512137058, 507013552, 880387752, 1022746980, 977811997, 576200117, 675971886, 415300227, 165201856, 401015509, 806143344, 255185897, 404206786, 924262440, 432585639, 798614181, 171373027, 164454118, 777761666, 244588253, 477096333, 961735804, 949765904, 908002868, 279418360, 770458150, 335010281, 941317570, 365870568, 941481536, 425610038, 701178117, 25766278, 433593525, 200911499, 414310979, 192231436, 436086338, 813687008, 286775669, 753428386, 946668362, 141872550, 134754960, 951777274, 29872152, 814884739, 263219348, 430441262, 619616328, 31981485, 114725231, 558789639, 8570896, 486662318, 1045292612, 468294179, 204660873, 412319862, 145482639, 859111653, 710346452, 840001646, 191484842, 735302464, 471119719, 1052586807, 195133236, 21125183, 144548369, 179686319, 653354670, 183802239, 841494069, 634517576, 382671470, 912697337, 733558641, 114578817, 416492954, 738807694, 1037329494, 185913717, 424015851, 52211668, 1247879, 648416745, 790877581, 858332348, 305186552, 400076193, 560402492, 830465710, 972828067, 906454992, 188241551, 955223546, 638304228, 728812085, 1021152368, 383123183, 502877257, 959140704, 611313213, 1069905771, 831702066, 39452912, 302422955, 717825840, 419583159, 884641678, 799518030, 934461558, 973282936, 982557666, 814119517, 737160348, 786167020, 674815927, 437700178, 646682659, 272899346, 701631141, 223716939, 269783697, 687247339, 340175007, 898124411, 88003061, 34267468, 1016436645, 277926568, 434810100, 134885341, 286216180, 576160272, 709025623, 307425796, 370697810, 407837507, 928198431, 519250205, 727912066, 160229504, 889130670, 241442482, 938160202, 980659102, 523000236, 14550533, 499765531, 763973358, 494467960, 11452410, 270019710, 998404681, 942854489, 438629055, 974360577, 142417263, 522616133, 745637981, 973680269, 41518275, 214837532, 259525576, 1025845193, 354561150, 686298098, 325077000, 88159629, 73868329, 231817361, 629664585, 99206636, 765562878, 226262955, 935437397, 469180748, 759337480, 19755996, 882074865, 79489295, 424374494, 667958867, 245299215, 250245245, 244061826, 815590676, 159861074, 528333856, 943510027, 521449973, 836237260, 88127150, 359221344, 526308976, 450841381, 42115276, 643189505, 935971111, 548792764, 700201725, 854178260, 138730366, 89262120, 507590337, 33924048, 553720962, 160961307, 900053415, 303870001, 992709457, 846854954, 285686467, 637012705, 544707218, 794668873, 313410245, 742676275, 1071618343, 19436565, 163194953, 1065852815, 573327034, 667993998, 764963590, 359733236, 50588984, 57082058, 606594635, 548473938, 379417727, 112737524, 1068584616, 808517597, 569493239, 418742907, 312060049, 668230157, 500202325, 260073638, 16988131, 681806689, 964535753, 678210710, 466610822, 395686844, 795452793, 710129161, 926040318, 1016593564, 431585965, 101037733, 1007128600, 495096514, 170741563, 1050344411, 249886317, 33470668, 925918735, 696908659, 309263881, 793746401, 730316956, 781322995, 586381290, 754574933, 37115674, 683024027, 494215669, 358256783, 159152937, 97702287, 390933579, 591943400, 363885421, 545462334, 385736988, 75100583, 687707263, 126571461, 792710976, 299722363, 452394152, 557269825, 171956285, 673420811, 124702052, 1014435314, 854878299, 639207627, 185026876, 881139862, 829983250, 660201307, 208321081, 948998256, 595006958, 773996369, 402143015, 459493326, 509843218, 495861451, 809648379, 516687012, 166236911, 1028219609, 197871516, 91787129, 389134782, 739998273, 748285581, 449928336, 301341493, 188525211, 142191783, 561939123, 599879587, 442941688, 955637059, 238244805, 707424059, 228685881, 771469157, 811555052, 897069330, 951811193, 276919007, 29393960, 1031961447, 737519466, 345252856, 954349052, 866818855, 330797033, 5858293, 439794186, 370348341, 745754193, 353230282, 904230764, 519661019, 254887054, 756675595, 139694958, 938211778, 511053630, 345984707, 636133251, 142978751, 275871440, 1021510473, 170354902, 814208178, 370923856, 299917487, 118540309, 737535604, 830237432, 569913709, 122688096, 895637971, 429603850, 188818406, 559839006, 423282923, 230833962, 168978543, 468342897, 830196701, 401117933, 134436125, 24319379, 806054292, 93120824, 129999490, 612778810, 474427066, 629503183, 685261876, 514009465, 25347970, 538808316, 654322698, 197039941, 1004652125, 134414823, 979953922, 109031535, 128999803, 1011902952, 71220257, 415745468, 80664570, 670015896, 1059584519, 716627314, 381896075, 522680472, 820115610, 92563767, 1056541961, 1063655803, 794960603, 765042543, 751570522, 476769541, 975671417, 807141144, 712348872, 851283655, 228886072, 790968481, 710651696, 452627611, 933917179, 348542700, 208367369, 521488293, 370434036, 341529578, 782925332, 652593355, 285390200, 637735566, 534776277, 824020184, 700501854, 574235164, 657599823, 30325796, 63176444, 884966756, 925935851, 505694827, 965776503, 783222588, 924165289, 737567460, 562030525, 995439966, 997782552, 95917301, 323713651, 980612264, 368333309, 883864549, 152182408, 437365089, 867457385, 1048294143, 847642172, 745616444, 458954218, 614258986, 654879656, 5241059, 789838691, 900341357, 849357876, 984551062, 380533738, 823084289, 820705900, 861268393, 180169387, 799809303, 381208860, 438454209, 429606694, 670285469, 97100661, 561241118, 990232351, 1027086323, 500418691, 725234260, 550514290, 849582323, 119888205, 852436724, 997356525, 620665781, 978015632, 697819272, 927098413, 944618400, 145307974, 110550033, 382575542, 380344517, 96058360, 221342195, 875024144, 293066211, 659619665, 100552225, 545661163, 513837450, 1057309622, 572234579, 438960134, 494907887, 115377354, 173540896, 549014538, 196116333, 581475126, 152173120, 170817302, 453541658, 711812256, 557585117, 610670070, 977136391, 209989676, 483024416, 235260499, 747346723, 1012293003, 695886624, 109474890, 986072547, 519835783, 1016979293, 329204328, 901450272, 402663957, 320333148, 540755308, 1070438078, 507428383, 123048305, 12775252, 836635607, 274998821, 80425763, 1032171547, 160354355, 750236046, 403090770, 459961641, 572149217, 787476007, 1040533134, 582194946, 984034195, 615394394, 313155324, 607737665, 364231086, 987472888, 570760263, 677952076, 1001822083, 38820911, 321740672, 1038650913, 82928738, 731558331, 947613418, 1005649390, 521850983, 987272434, 392425986, 283556280, 461088206, 375132831, 571380469, 951302252, 997636448, 384062399, 754989882, 780515773, 383621295, 43300663, 385251676, 116645236, 842607353, 676698614, 1004840686, 817414044, 525357147, 748050289, 675177749, 107190016, 966921341, 1036392846, 170314167, 63122594, 791902429, 638490250, 452903390, 309705950, 696083402, 87758501, 386393289, 468761066, 732913435, 520597951, 439856385, 726824197, 656941283, 688518114, 990835028, 44908290, 419505538, 526078713, 1039368681, 15942505, 844396678, 395229133, 822563145, 594684846, 687938163, 218217093, 579800250, 898843041, 393314108, 510486815, 393271512, 1062184595, 419592561, 925420570, 572312604, 890050540, 74251217, 244191009, 477642153, 104843439, 968083480, 1011582071, 198594170, 37276278, 523941185, 369565997, 804617038, 664986719, 23609043, 539284557, 219784008, 698662093, 538233319, 959855430, 151733782, 854602959, 497503459, 748611927, 221807091, 895848512, 50590047, 887037568, 293984754, 617361109, 175483569, 125740052, 391637672, 558453074, 61171735, 1073268545, 568882903, 677357397, 1023959643, 201004110, 598235045, 576417662, 374845664, 688159441, 655812207, 284066120, 704628758, 1054852519, 167048409, 727524544, 363874212, 359904934, 374121276, 817814723, 801442089, 181806578, 350067096, 978360857, 660950828, 1037647109, 101104725, 929022519, 666401241, 233778463, 302811665, 885018836, 247669787, 1020190457, 36028049, 611437845, 1043081986, 541925280, 939204649, 829765701, 1055569927, 514740934, 710929332, 888843757, 977929883, 13732107, 750038880, 491565368, 423262289, 466133970, 257667321, 549272085, 209438800, 924785089, 589708050, 684574554, 707559850, 57991229, 471116904, 945056255, 308838712, 217006139, 613877518, 715958812, 853900323, 729677420, 256671463, 602973457, 555163525, 161889029, 857348390, 856426078, 632994872, 908956780, 778441587, 683547270, 52365671, 65333064, 730741040, 876891266, 76489744, 1054213916, 401090549, 227018737, 1064010180, 125308115, 500018012, 195366334, 567142551, 983560471, 633781991, 988667525, 619889367, 722897059, 660514371, 972176733, 915640390, 674107047, 343732530, 964673801, 897393953, 443527382, 903639224, 822967761, 142730952, 9702060, 753231857, 74936240, 889115545, 293259503, 251061257, 207619865, 262779125, 90141328, 89769773, 252701709, 205998048, 942203071, 201845225, 603393098, 479070682, 705653925, 228459556, 60210095, 46322075, 601384237, 847987675, 21851313, 765950229, 17857588, 550037614, 581813301, 803212862, 567684234, 532848494, 628623800, 310246795, 768893391, 617951245, 220783986, 871171889, 876802114, 619106584, 295292378, 933116900, 288068209, 575331395, 781778123, 641288337, 389603278, 130329316, 653870182, 425979305, 474989165, 75530234, 439637776, 409779379, 608070738, 1042442378, 629593021, 434122457, 792533815, 696752030, 880900078, 625799453, 396451842, 40206528, 594415962, 730138851, 1026891350, 1006620684, 876628927, 384971280, 301897130, 285882687, 739677228, 137009669, 544730266, 956673691, 371061225, 100953473, 520612245, 391253145, 498652344, 974456354, 96855210, 200305536, 711047739, 103456843, 400092461, 913850517, 137534348, 853680110, 775546425, 152831562, 851175363, 260364005, 726704211, 868296214, 453904202, 467183351, 906544277, 964163996, 630470742, 130082157, 186070115, 12342320, 148352420, 816982450, 645084474, 41608615, 161679100, 346910689, 783032445, 1020537514, 261031072, 994462572, 157299070, 46449697, 360377908, 570565985, 278440002, 954859574, 1022566262, 668558480, 832822523, 292611355, 821858059, 530185047, 296418185, 499656945, 429632637, 1024274689, 587204188, 470974330, 89358678, 640141626, 1002418672, 490312047, 310106211, 171205864, 213846394, 468134064, 482229731, 645742982, 85614860, 1061824727, 569929946, 22539895, 718194676, 11874796, 46825663, 1061730575, 75520456, 282361559, 921457962, 12957471, 405459176, 598724396, 582333105, 1050616900, 447655993, 339375819, 986613211, 818339725, 847302158, 754351063, 945308045, 96016240, 700240788, 377855230, 926696676, 224546084, 856011295, 320801749, 475804804, 380300317, 909900113, 35268291, 165213346, 503444435, 856025250, 675263094, 16928944, 670623448, 858558591, 48826898, 669906476, 998879990, 1028234990, 287064441, 530318783, 749561600, 80399440, 135206014, 26006926, 788773730, 352434229, 569774388, 395676382, 530949721, 308727416, 973900644, 91267429, 954700232, 821342013, 777524040, 437895334, 406686965, 304677578, 101153924, 461798859, 1072743473, 272042341, 237216363, 921843874, 494865628, 922147444, 97630303, 287364949, 967207050, 601462396, 307092603, 129098093, 16297214, 44426252, 427579268, 68354726, 686623826, 605590463, 47622085, 342402023, 1071621451, 781269984, 2410862, 276870874, 1046637726, 589260076, 478126883, 535274561, 1007507891, 619156034, 560935752, 356610104, 589602792, 228073821, 1016769744, 64632008, 620787956, 850735414, 686579665, 171791814, 879724502, 506140104, 1066016595, 362715956, 528771667, 7809061, 335658611, 1062954636, 260282554, 675295389, 932153877, 988201175, 718962383, 197364078, 700577087, 11164924, 229132464, 136100531, 321978308, 724558723, 386884110, 697152984, 952440066, 661335342, 152659850, 323053298, 972321535, 787628197, 100898531, 120108102, 681581068, 849892307, 697525981, 387725660, 846790388, 868913139, 173275421, 360342306, 295924623, 790582128, 2162323, 748052597, 48015503, 312275763, 787621178, 876350776, 290941433, 852551702, 606452855, 851334719, 586773607, 819805299, 47623215, 540277435, 15051152, 803550880, 211310750, 563375820, 841957965, 719976592, 102207285, 253031081, 858530726, 744107368, 951073385, 402930250, 83539648, 593711068, 11956308, 672243737, 201043970, 738465903, 246176775, 489814840, 512135917, 993255226, 301128838, 397913686, 229437853, 221372414, 308332997, 887971732, 989669454, 1010710381, 682637814, 921063552, 398306700, 269067405, 734309333, 932051927, 944352460, 1006773420, 66640658, 484296330, 227148410, 963263571, 884180341, 632213232, 711226487, 260817125, 570564641, 180846262, 755598455, 238551654, 375473680, 1036751668, 457207930, 325508411, 856581843, 1000903456, 909615641, 790519109, 4269180, 473144590, 826435625, 873219190, 415134683, 938451493, 1054746712, 692877959, 685300856, 518144865, 908380201, 659793981, 148960458, 487569785, 436654012, 548246645, 551217040, 927781170, 645663518, 780948290, 565904077, 457146262, 804976837, 489975257, 700500649, 560350882, 991467675, 589475669, 554617486, 574865236, 872439283, 983966725, 1031186898, 991668369, 1033569783, 311133064, 306796529, 609322534, 1032942282, 149237528, 509624458, 1052603497, 54651522, 516827236, 362137070, 345910268, 852752005, 429471291, 220550753, 1013254462, 827125693, 933496062, 1016760871, 330916614, 326782525, 1010259736, 652879588, 423724451, 558302300, 78619099, 8941144, 924990983, 814166005, 829565515, 586957227, 36415604, 294702095, 144700137, 381006767, 296580151, 821242581, 340441224, 243734094, 806563036, 646197302, 574858975, 731972337, 694091486, 829711464, 724117138, 957982542, 113174423, 1050435692, 381558601, 11459581, 336342845, 821577763, 342215391, 594665431, 416866221, 216595169, 293176707, 264847532, 691379134, 952615058, 162501470, 855481550, 137657740, 815625473, 350762483, 408228971, 563683440, 695869600, 611546383, 970455277, 349692594, 1073601426, 692467305, 289157762, 980589096, 519789283, 1018361943, 836960149, 137050906, 676377410, 146590418, 695212805, 320939521, 221735880, 174907962, 524324393, 653889711, 380893440, 329304130, 1064897374, 77785540, 131291185, 557608667, 660800631, 274985757, 322461711, 557124206, 277089274, 447761865, 932101714, 61326100, 264728699, 429524314, 458169208, 28174845, 997668555, 632424643, 644105518, 359969614, 177549377, 1013004086, 764549006, 676610495, 884894369, 69172462, 463339716, 554901536, 489003377, 1002427464, 956818450, 543257910, 77803797, 761228645, 412607755, 288258142, 878596648, 174526813, 1022711824, 108480702, 358949042, 55862203, 437141030, 278952414, 756622725, 800064912, 634397641, 166363611, 899083140, 12867913, 879692980, 566190973, 784458576, 455450122, 593018867, 1067017096, 2967255, 104950001, 855018518, 947427213, 254769525, 1054117923, 52237089, 431282835, 226400719, 487308847, 716567341, 735199555, 171513078, 369999130, 320174527, 997145225, 285923420, 936975748, 325750107, 103344055, 1046472870, 613556515, 191536018, 416028218, 282625741, 498758280, 496613997, 198584177, 608169654, 766244155, 231301452, 452678456, 642908194, 623383814, 1072420726, 342941393, 775457987, 852966375, 800953511, 545578796, 719018360, 581696182, 1071849910, 425429820, 823545504, 266706918, 33497808, 733700809, 849780642, 700699958, 632180155, 1062166508, 159217546, 234531789, 867365599, 1061781538, 211023111, 137304160, 33309651, 255072850, 190087422, 695100818, 815665951, 484276162, 187496880, 742973917, 482860202, 390569455, 412873140, 469102234, 278669747, 31296345, 799778135, 665679688, 125936467, 784478394, 289534459, 423108840, 742402684, 377010140, 769343554, 1017440917, 682316827, 873597584, 658911981, 854521796, 985993140, 1049355795, 124200246, 399219048, 100759800, 27320086, 317450479, 874001953, 1005080750, 43325247, 527052647, 1060045637, 1022365371, 509346047, 240246267, 786538142, 900797592, 366863696, 229501480, 266812293, 239610258, 899495619, 868637671, 352903131, 758234359, 1005851701, 962133878, 136430080, 636363927, 517460936, 260916895, 108950912, 430443576, 1020691858, 1048477930, 15776355, 135661682, 127851798, 943799991, 258389016, 818195390, 57710515, 628136691, 513483465, 37124938, 452242420, 409844659, 969736104, 64141282, 544590518, 527584066, 167559935, 28282920, 249307427, 25021894, 558735445, 966334243, 597295185, 51241982, 538274514, 735779445, 345459636, 437827191, 301563561, 93954702, 199581077, 567351755, 802190793, 105296534, 544347855, 685636133, 67695731, 357477136, 789893746, 402000918, 87030825, 950404464, 139294393, 428629678, 739807513, 8761205, 1042306262, 602099622, 73839598, 436210674, 114084395, 237081783, 687520231, 576812643, 244062097, 684271929, 632165578, 60647106, 872481051, 230052427, 792228480, 265714695, 271105061, 114236580, 544566912, 21512415, 311499756, 412874215, 600396869, 711540998, 221942757, 320361679, 972074088, 857690478, 657541864, 4031749, 301527974, 506373719, 175381560, 365956915, 985415838, 201587092, 720054473, 1014834897, 846507660, 1032660582, 466373944, 638654411, 252452264, 405738733, 83215995, 567138216, 315210937, 565006905, 878784953, 749489395, 507649367, 348234191, 923767344, 894206600, 586502746, 538400392, 572442657, 650315389, 149755445, 690523512, 62319755, 771841941, 46042965, 212652466, 500114358, 384645156, 527034014, 580511354, 87872498, 88106790, 16958841, 156280149, 128223797, 280015789, 214730653, 35812114, 61734609, 904925295, 457533136, 265162655, 748857605, 413268757, 760038558, 637061724, 48518328, 762746426, 452006441, 295191777, 193736716, 279469338, 784503961, 782757866, 800194228, 1016246466, 641875913, 991887964, 721440411, 494391150, 94142592, 739839149, 981673104, 850016607, 545682197, 686948070, 939759740, 1006499512, 750788235, 106935526, 462447252, 263185124, 970108392, 535473260, 1013714320, 1043260195, 17499727, 74786478, 911892558, 122201370, 13681963, 417557909, 837581569, 820015839, 170289440, 471308940, 915355420, 1001731261, 893477900, 223922051, 51320793, 413275596, 887984166, 589087889, 1001264079, 969972559, 580203985, 1071810890, 892641911, 979181308, 908474862, 115591140, 26663295, 902713098, 475725998, 477404959, 441398185, 810961207, 837052510, 873577998, 302982027, 97313698, 242673337, 1057685869, 1033648716, 796125634, 690779106, 4135971, 44386411, 512795058, 68827162, 493062155, 352290145, 679346551, 749940615, 165278996, 793839953, 798815702, 500176982, 97624270, 899106368, 979782093, 149873864, 986185308, 274433507, 797245726, 174124481, 613658784, 736668690, 335075502, 1072992102, 823285171, 672112706, 555231255, 1059732323, 683817355, 818761247, 756241653, 58464057, 587105210, 182738192, 816996979, 980688635, 716265905, 566911266, 275326620, 116024470, 454530160, 255937709, 387506756, 240832785, 537886969, 1054341003, 135482924, 182787154, 104354585, 590337071, 108078127, 862495672, 902527096, 721885102, 621892944, 680778248, 238590546, 326927758, 1062311021, 67931373, 35920203, 659489679, 569421307, 881975427, 649060942, 571895751, 524640755, 426471774, 378733610, 604392390, 1008071836, 309700078, 467207354, 771800498, 841498277, 796591113, 276601243, 571848871, 127039041, 681854445, 841497929, 672749174, 959327389, 897248398, 389327760, 48620111, 814890334, 838041475, 232305566, 547810362, 97601033, 612006422, 630413459, 211640735, 813117391, 851735704, 1031638705, 740767187, 174182028, 375376187, 24673444, 124789875, 176350870, 954139687, 506094332, 789858189, 402917993, 710371269, 834212646, 796587632, 374660688, 167562598, 509983303, 834826379, 923731499, 522861851, 933921374, 871221086, 633414368, 190290211, 560748408, 439755355, 653934934, 266136459, 965386562, 91362196, 507873678, 148883089, 430362488, 295993362, 625707838, 751721658, 142388893, 71186396, 468950171, 250288578, 66632400, 374787730, 823965094, 580299287, 630072597, 977835624, 1020609131, 206673798, 625118215, 506524866, 290152242, 552694081, 560072515, 888377099, 887199307, 55861944, 214934343, 417529155, 704091774, 972008644, 638777674, 695682197, 474989609, 175795593, 685626963, 416144486, 720971542, 886223758, 259042391, 55740372, 721893856, 770397838, 108116682, 634217797, 618494529, 1022954122, 493284102, 233260470, 512265830, 24076693, 765548141, 369811040, 439373224, 951300334, 221165880, 1060287113, 719903635, 759584919, 372304307, 1025540281, 293140294, 220565228, 103489205, 243489436, 1034558874, 454001038, 873782217, 634299200, 348075436, 691546958, 570072160, 189796089, 205578380, 351143039, 340341527, 382694279, 991248958, 373922832, 232028394, 513223310, 997885965, 198712486, 631049961, 837043928, 20970086, 714136470, 1023517183, 26753498, 888229995, 854777169, 798317271, 449552015, 438585380, 306281505, 284034732, 642877660, 831846901, 451800560, 4146183, 501428588, 555236062, 1001276374, 301874097, 113060409, 1025595320, 560618367, 540478163, 310943930, 108278653, 1068456927, 768839330, 753618715, 164129282, 956540325, 47898257, 323344476, 802369181, 515325176, 1061719695, 105155235, 606115353, 164282681, 556458771, 550064029, 736077248, 954118347, 749558122, 59709959, 234240592, 566296216, 502712222, 197652940, 345594423, 487488910, 757252200, 1068538056, 391057160, 904762563, 519198983, 445456904, 119891178, 737578397, 625919936, 229554022, 418627496, 997820504, 366043991, 6153341, 54955180, 849595793, 550730052, 475293779, 133603134, 229633721, 717782602, 767329237, 483749573, 747445095, 381701545, 484107736, 980782550, 178211201, 890465014, 580636594, 316817178, 416120910, 451204037, 1009851774, 259405218, 80550161, 1018538828, 906406580, 631924551, 144508843, 274768369, 578210512, 113089994, 313008319, 177134835, 236221402, 978141837, 915702750, 692939750, 3153177, 1009852865, 331688575, 887877162, 513621331, 486238568, 877169169, 1009830147, 919638066, 812851486, 972319777, 25962300, 120821877, 48788599, 290643493, 216517175, 467108279, 58176735, 856163725, 957773949, 688825149, 975184020, 240713321, 942599227, 478025875, 901774160, 270085563, 1038515046, 3385720, 437540442, 994501584, 1068864323, 598745008, 763084694, 652691607, 978695992, 906868233, 785537398, 765387280, 363379812, 540406987, 691986041, 144970580, 415292760, 25920987, 842356769, 608074584, 487754229, 545734556, 510554794, 759698164, 487152775, 104150756, 222794907, 228591574, 186895023, 1039654305, 247345981, 810929038, 528885534, 853980236, 640120496, 1031098548, 805576381, 1055915797, 677553630, 842236188, 880166184, 569758519, 166434058, 40897806, 122482443, 848883645, 539998281, 838461136, 930712666, 295399647, 738237606, 535063231, 173114357, 369731548, 399201281, 720409890, 933854439, 332446519, 440814186, 593134985, 819584615, 689114225, 149005203, 465981432, 999487905, 139040026, 288967501, 364372552, 462604033, 743106203, 110056806, 17064042, 618935969, 259012299, 673493899, 139135704, 940997402, 833210085, 798426299, 498708433, 895150206, 480553675, 114787368, 958920817, 824572653, 588279982, 4373879, 471687488, 428040704, 899925203, 107249782, 156074056, 657232517, 1068519264, 191659677, 823991679, 613994376, 286717364, 150793033, 445081200, 225295863, 954132698, 867493680, 899686488, 615661644, 875865031, 735807413, 683707114, 448161760, 38093899, 1033397035, 115738525, 593368736, 198782687, 913815416, 759721191, 586853765, 110945750, 347258797, 568017242, 957798657, 246636729, 309487083, 350394591, 764980760, 850827553, 989031505, 212888649, 893947108, 467036266, 574299657, 903947360, 726512839, 936801052, 329001456, 926440472, 299105578, 678232785, 155160219, 844271690, 658733663, 942195514, 1006838516, 46640515, 1065426611, 980717618, 906339498, 797577870, 231362640, 58234258, 872874571, 743409312, 953921083, 457449998, 1009307667, 126274337, 408461916, 797422865, 435787628, 871876677, 590737185, 800985704, 261062560, 502313828, 381739386, 405984944, 450337581, 1020013554, 476960250, 496833080, 611625838, 330537009, 769630808, 496445386, 562716682, 956226658, 192024683, 596546817, 943902169, 793010493, 73016076, 875940168, 617781977, 986109084, 179444597, 330688906, 1033218991, 938639340, 327321601, 156392586, 1041779024, 362119403, 515888216, 757597844, 233227551, 839254106, 816996946, 862667467, 76081424, 993876975, 116894322, 399002409, 201338652, 655952015, 477267432, 170042572, 877812202, 1053500844, 297158880, 341833150, 613705026, 281932535, 792799858, 142808107, 863498947, 342903491, 289420272, 967132687, 249578394, 202015566, 250840447, 565623780, 570276536, 665029529, 816817116, 91805232, 825709552, 991990826, 387219907, 19373203, 902866980, 432119063, 901387211, 241065519, 511600961, 712199350, 991156374, 621505482, 826224128, 440697752, 913707339, 917110535, 716980252, 279734444, 888617829, 174349627, 644902833, 254107291, 363407529, 300258274, 62298428, 440055830, 1596393, 186831925, 1069118694, 991331780, 445829723, 911540781, 706027067, 115526460, 505707122, 833125452, 106677167, 13763032, 162569571, 355550477, 531093173, 422766279, 567903160, 319526195, 126166044, 802055160, 72982139, 1012794470, 360822071, 988973177, 705861999, 772506045, 933008201, 711141421, 548327863, 911438764, 823823855, 217017953, 231638202, 624360644, 466619923, 48894138, 378532929, 882513897, 311330187, 548434541, 414299453, 543502672, 235191553, 1068585089, 307656150, 421219705, 677639634, 526574524, 743775017, 115085047, 326611387, 79835231, 73821404, 170601810, 848797823, 697604966, 304499798, 535743748, 659975335, 655356660, 95527780, 701405179, 434429830, 840810925, 753325176, 359416, 233929345, 62347983, 91283274, 333541438, 808954262, 558659549, 881002260, 878571884, 962984541, 103513800, 1072746611, 882436100, 1047134613, 602624237, 48791460, 89529188, 217840179, 329363134, 257807080, 542227650, 973942797, 258315909, 863504935, 1005310948, 214644540, 735547347, 622388477, 224177735, 305203887, 508430059, 48612220, 133107811, 873460389, 1025462894, 1007172348, 386634479, 401419645, 837185341, 805335492, 1037634212, 701426513, 740792107, 108540996, 555033591, 221508713, 917829933, 255909700, 762527361, 603082571, 607040228, 575908887, 648682776, 755536593, 935331268, 442703912, 25273875, 1045264873, 301350014, 670744016, 660446670, 698590824, 645095871, 868966984, 883331971, 30311594, 433320737, 163410417, 509784538, 632010668, 779847571, 509540067, 444312286, 980687733, 172784129, 375486066, 272700560, 149387989, 426296574, 153420557, 829967203, 969808089, 958183787, 1030956502, 817534928, 499881864, 839850102, 39699322, 640076396, 865648870, 737876663, 475115237, 684749786, 498390530, 2849681, 744083403, 157695566, 498966169, 821440953, 104216213, 926460239, 823203777, 505443814, 459187262, 409924052, 87482867, 371434378, 389208723, 82583946, 149771757, 40442130, 805886328, 415904083, 330782104, 699060343, 983663586, 1058691767, 219614220, 541631364, 7013613, 598488151, 603849291, 659561298, 653982775, 286468933, 418404397, 195750973, 77795550, 157937363, 460589580, 164994619, 646794145, 1038690048, 80075717, 30475986, 161927197, 810551503, 742125782, 949008793, 797634773, 1043707074, 17088094, 381415990, 1040037252, 230108182, 866816710, 224452161, 544336856, 66124140, 653227670, 330356614, 685659476, 58573639, 111706276, 560858308, 748416157, 369098167, 1047333355, 671607343, 802440940, 983607795, 644015530, 846991360, 373648345, 843279800, 30653113, 666820775, 333866079, 448731631, 656983517, 168774068, 1072999503, 434887955, 647006649, 675671949, 388326208, 208935955, 221165972, 26622023, 107659042, 539983157, 458841851, 979178158, 529293044, 30574489, 207640073, 948963419, 183729934, 476223258, 926043777, 311939013, 508293175, 520585946, 1068008504, 17646387, 802587725, 403582205, 528657602, 707458937, 1020647968, 584579096, 398893924, 4694175, 726180796, 319926571, 547666777, 492154421, 945041423, 662552569, 1015343864, 45086970, 630022083, 938587796, 1018202788, 859753717, 404741971, 598780909, 121431935, 604265531, 367515796, 504765486, 75874608, 546602286, 643745917, 164022792, 475935043, 662422093, 566561744, 966118323, 309084121, 614669959, 247454302, 670927416, 232436066, 475429307, 38480707, 780165468, 255817038, 268871695, 960250675, 1774992, 1069283460, 590338783, 742154004, 609255862, 573404181, 705021195, 62449298, 212698550, 1023710427, 742431961, 387644526, 798481629, 428829812, 575878642, 553901175, 1020453537, 966207013, 632412426, 209776570, 395458218, 799351628, 550197460, 469739871, 806471094, 797706433, 300075335, 980249382, 465603960, 164205085, 550352357, 241858663, 925411364, 628451967, 862831806, 817027454, 865766898, 149265061, 667216299, 306949042, 766589397, 693696282, 61674908, 834405104, 172519891, 776599400, 16482142, 296370117, 344594650, 950844295, 573521530, 280491055, 273146175, 635696627, 931396337, 979401451, 23841400, 123925692, 826925208, 426809760, 594737799, 283487720, 444554449, 520419002, 281871750, 604330727, 734763698, 71158186, 616502009, 79076036, 76351129, 356901300, 992307920, 5347832, 230583930, 441771187, 102476769, 329101174, 225351024, 977975973, 1016140557, 633829310, 1039239473, 424461408, 929067158, 893969166, 765087465, 59722543, 520227833, 801028919, 191092888, 533890134, 504285948, 312482246, 1073669724, 778764604, 801123096, 356162279, 818845445, 678453204, 931779805, 541805452, 375537301, 761720281, 868724353, 106935533, 356755802, 935870901, 935232575, 776934318, 711366736, 783918082, 1011635546, 308617377, 1072855919, 30074243, 967110078, 456406969, 550815254, 992798228, 354201635, 992709844, 741939045, 695224566, 1017276561, 564231298, 371180239, 810618572, 668093959, 27319540, 306391873, 1069497606, 621965850, 286380081, 765549229, 487081400, 342001129, 988829123, 920908458, 455168964, 397847830, 749786821, 366648786, 217561590, 37726295, 870904092, 326108411, 885364139, 321198437, 860864855, 175254412, 119675345, 568388649, 510747164, 944298658, 916345266, 50006068, 794824187, 430685857, 854941493, 682567139, 782160791, 955134476, 473370708, 752257575, 365133798, 455019378, 915818260, 695622518, 429561139, 737466424, 143211942, 812001817, 598743698, 189904141, 567630763, 243916249, 583748835, 21386990, 196888671, 1069065997, 839504029, 460323561, 430910650, 336359861, 829920, 46970033, 827139442, 479809113, 106851300, 797875608, 564875323, 877715758, 635320989, 154399934, 961490679, 946967332, 241143726, 294170281, 939791550, 271142297, 852930166, 220490855, 153260932, 376433077, 994621078, 416788896, 355104117, 556858319, 644880978, 659852318, 275446507, 820504543, 29519215, 844189908, 561714774, 903993430, 981697536, 439508056, 55990192, 706774772, 574493500, 599736958, 49644190, 454777344, 879290568, 215192628, 30568959, 38417042, 911096080, 135979637, 121858804, 931125248, 745534565, 997532213, 152286408, 304129169, 1063329475, 91201251, 350935872, 997762335, 808558788, 823120230, 979654914, 760603802, 942464105, 12383675, 547969078, 876509711, 855401270, 912365682, 39351868, 991078774, 50235970, 2005088, 120856200, 508231104, 1037755563, 588600301, 281684520, 419243202, 916931244, 495859215, 598217072, 521873784, 720896442, 997402689, 725949013, 203008612, 432998963, 894854285, 799972127, 496855168, 595563587, 152972444, 785557375, 933330662, 900467406, 1049360647, 241401992, 885392340, 785948048, 91674083, 490348514, 458545917, 727571327, 924464676, 579608178, 340386498, 947439072, 859345536, 143655123, 248708444, 910983420, 453766780, 1061789425, 957849743, 24982723, 79098972, 606257667, 1029087181, 985616239, 869706329, 1041580372, 280936028, 481534898, 121593556, 365242025, 845039918, 436485405, 907245894, 560579729, 725697211, 15294924, 359050315, 836896151, 706786582, 746815955, 117645735, 128682762, 1070986986, 572327553, 698276412, 64336152, 192785474, 198281012, 416335616, 561326599, 763164473, 881080939, 68684039, 176804147, 174533560, 55749633, 438682759, 843451017, 487209040, 391153254, 346675265, 168768077, 579631603, 485414439, 497019995, 530849600, 419503384, 517302000, 917737442, 466053014, 369120916, 642194740, 826435882, 329615484, 838221815, 156195856, 974268099, 61318327, 529787421, 902077998, 572982705, 234961180, 897921209, 595361519, 863666727, 832306583, 338139906, 895174611, 707940651, 214896565, 11312945, 260539726, 412898450, 17633706, 260100515, 1055920063, 79856126, 289399514, 498646840, 136222286, 677068863, 531677101, 1002708439, 905163806, 849858378, 572475404, 127953977, 560730039, 60844452, 784900343, 220033224, 95167562, 728662280, 960812603, 597691840, 796021962, 738628331, 213520908, 540535604, 534253861, 307783277, 453288198, 23278278, 842890403, 990591843, 476551899, 379104057, 104157198, 599114684, 780796121, 1013123736, 64212629, 62747307, 678655571, 76493474, 6072498, 886583726, 1035027301, 609602041, 390002914, 722184378, 763045550, 947842346, 385529614, 250573076, 886228596, 860127972, 133073401, 237292392, 433077006, 401954928, 7082638, 848050768, 197886643, 701457265, 74751223, 688734513, 68562572, 331806541, 824792590, 424537315, 801908058, 655003480, 122680629, 1039394365, 510718752, 1066750273, 126166661, 417936325, 97598711, 236306311, 36575647, 188719070, 74615662, 494906631, 495039912, 551581056, 884003431, 726600683, 526579059, 549120837, 181097197, 181621672, 14812193, 767515533, 949661792, 39013100, 326149148, 749419174, 795477451, 128898780, 99479586, 757189075, 367442136, 979629104, 440774931, 498716270, 193236300, 881085082, 948943338, 97932030, 799944770, 656237590, 590024579, 298691744, 773087660, 886768013, 459764473, 368635971, 372548551, 95645642, 906565756, 959570240, 369608310, 827826289, 115813347, 98208408, 191711390, 460451523, 754396107, 240435740, 636816146, 688550613, 516132480, 1040423087, 954766159, 956011394, 708153057, 690047141, 1054195097, 193219634, 492688081, 158134248, 155673222, 884413341, 162729903, 37057248, 129684638, 667314996, 1044584724, 179697568, 157978240, 74191319, 1059597766, 436084768, 645905361, 350647723, 856061495, 792267926, 919198424, 568228177, 543106687, 18877591, 712388604, 932292574, 1065898292, 424367035, 237089815, 383413414, 67190467, 407723362, 962470769, 535271448, 243525531, 399393847, 451879001, 328509146, 485141380, 745566395, 189495435, 484308565, 784783698, 208584888, 175470299, 435117360, 248098383, 617570570, 134661866, 608134430, 980294973, 417678182, 503026486, 792639261, 433161251, 948939652, 1020645891, 912137567, 671968046, 268543972, 462402225, 296809834, 948209665, 1053313740, 8836571, 1004965949, 593684918, 997269066, 483621031, 1060065574, 786837269, 140863777, 389824552, 1045524171, 153088249, 430027334, 64755652, 817902809, 286828384, 506121984, 576273429, 849889240, 214920000, 498174079, 760004976, 1040534813, 837105226, 736928262, 519279842, 221005199, 234904358, 504962620, 277148172, 674219254, 1050518813, 915055241, 1010290956, 614603074, 244408102, 905322560, 421121007, 916123727, 209584482, 1065068699, 51411101, 920540698, 176271403, 107508278, 394117423, 605768290, 809210423, 1028878426, 935563209, 232656082, 831023019, 840396869, 482121415, 93434793, 422057543, 102819546, 398441015, 808634093, 403627784, 217162192, 66043506, 332687992, 892474384, 568198592, 369020423, 228188120, 384706683, 928353174, 722681406, 348364770, 288141328, 27776860, 1015982190, 648293071, 109359242, 771242684, 10461361, 683512829, 891814427, 983056077, 666415204, 385773172, 934993717, 958662155, 297108181, 1002586270, 782876359, 965482194, 551347237, 333257337, 670840535, 295861973, 486776805, 263879954, 438221968, 1035844094, 640232047, 1052028905, 256626674, 285264109, 922073740, 696788052, 1048461416, 386165250, 508443652, 204567596, 80137023, 1045716884, 616606049, 708423467, 342664170, 1052340652, 732731476, 161215594, 73174179, 308332364, 1068427899, 692934853, 949386639, 794605480, 530231861, 250935805, 591477919, 251388671, 379269648, 933904783, 321703956, 429278623, 368469196, 923365039, 796918874, 378223423, 813489342, 285759974, 560279068, 304460092, 1041868402, 481809435, 696127781, 1053685067, 93625630, 1014476490, 299976454, 843348654, 186177773, 1034726293, 926803605, 198282601, 173049733, 969025743, 833154122, 96180637, 536763882, 529675767, 499263089, 1000137953, 359054360, 566607224, 430930199, 713985971, 1005059581, 960674095, 168429014, 606379615, 1020096656, 388928172, 593972494, 43328490, 321677685, 675400179, 29502029, 963436362, 359146293, 915827323, 693263582, 463185753, 466092350, 482754635, 416355819, 503755129, 733563080, 1010217792, 847388940, 214817950, 736368189, 839790001, 1030325254, 791857079, 771079240, 301921996, 555081996, 644058464, 1014520091, 625772295, 584054005, 839678750, 996487033, 803437980, 588133033, 784830538, 989609366, 803554837, 817848936, 904961207, 786407737, 552842196, 262659050, 447121371, 966446503, 558010851, 435606471, 286759014, 999066836, 1071382422, 830717576, 519931935, 1039311858, 338448048, 508835682, 707615329, 678774723, 597556929, 857949545, 323020783, 770628291, 806047102, 269195986, 473708711, 458541632, 712249515, 966194735, 260042140, 586281272, 55358879, 628607385, 563020927, 1002749153, 55945993, 1050680782, 387457218, 83524415, 376839991, 1001507779, 650350105, 1068764650, 930051103, 70312366, 916433443, 635481169, 996326555, 1004832098, 543774171, 668566311, 262699302, 212303310, 1065479059, 321519344, 325318138, 1072974951, 676901070, 953205809, 654899448, 695079228, 738884463, 246339391, 264891720, 544242867, 99090325, 1031721096, 316485526, 490759210, 244021888, 1044771356, 845980410, 597147746, 872246283, 459626974, 238948208, 462145989, 725301215, 205634308, 507901979, 593297341, 901812056, 64888142, 202699863, 565107473, 166534641, 850606471, 728774262, 159183960, 226081439, 1053982588, 255623101, 862944118, 384277193, 450742649, 786363974, 587016990, 778024635, 40352094, 301409778, 514149691, 216829848, 715038627, 385161526, 211963700, 521887405, 872298848, 644249683, 608266274, 1071675674, 205989070, 763893534, 427873340, 1045983576, 122485353, 946252478, 969108291, 745750083, 771022469, 272590618, 966403676, 866694894, 404731833, 594023053, 461278402, 1027702662, 937792890, 91548211, 635467461, 910060709, 92712899, 62149068, 131288598, 521727413, 189255280, 80098341, 374277595, 913661565, 291595613, 140797999, 860957256, 1051978594, 515870660, 293859329, 393848232, 239693788, 69907, 947263919, 597685764, 834649963, 16078294, 642195878, 535240333, 33573878, 421092725, 1012893056, 64080678, 553452645, 243110442, 294818698, 946819172, 28485613, 912122078, 1000501368, 586771565, 820040691, 1021070105, 968378271, 570008555, 373839082, 39224245, 220122144, 492347276, 65053290, 618238208, 438951079, 272940472, 368690082, 553165271, 983869292, 738013967, 411154910, 102166724, 163094681, 115719814, 337395087, 196759281, 803533395, 907311780, 71269624, 1013241632, 457669033, 788177886, 461358950, 765601694, 958618803, 180169121, 775441965, 963500237, 850379901, 213476432, 668007558, 155849947, 285627933, 579274444, 514479393, 706223230, 1013623611, 851782130, 736455845, 890575317, 4688745, 861112381, 243197772, 1073585456, 834696560, 659196976, 253594068, 412482347, 1072028228, 60497811, 373015559, 982852266, 881464741, 649730581, 931198700, 806073761, 860299570, 144849247, 801914490, 229308220, 319527719, 112657413, 779296795, 468396668, 658177983, 1052194911, 409801500, 440887365, 64784294, 922784089, 82000887, 851293850, 443710141, 615096098, 1047019038, 1001427485, 356004948, 87833000, 602884871, 697295438, 369215099, 1059939898, 425297642, 985401329, 100269683, 900967394, 302088110, 434218656, 917798066, 600368446, 627448146, 699003999, 952794393, 802071372, 1034610584, 522333171, 1022573758, 221455538, 226854860, 582781259, 956625331, 409332835, 801918424, 602114398, 663662255, 664122908, 119109171, 9038737, 495549623, 464348255, 976050347, 926398266, 868522279, 897398735, 921115838, 689342765, 487263643, 589656793, 30188177, 673826499, 1000500552, 759413579, 581386813, 673937415, 649379012, 941158583, 298613786, 67182300, 136153014, 682666443, 251074775, 1011744256, 286179510, 848923239, 694010814, 202505229, 279701709, 952752020, 1011012898, 539327382, 190116095, 1062410078, 850205573, 795812590, 1072529072, 76082574, 792824784, 577034118, 170453779, 633277470, 880362925, 479475552, 817940842, 933469787, 179477944, 879153201, 902411280, 887979703, 789420504, 467601944, 355915031, 467619409, 703523306, 885578410, 387685723, 983638850, 857891947, 295637886, 589970094, 704007742, 538775091, 947667335, 889906133, 867755760, 798534047, 916302479, 214672629, 859245450, 284284934, 761788064, 55826706, 566690210, 156670059, 578241654, 766762114, 609242419, 27389499, 27278028, 1032575963, 884772865, 906891042, 30968389, 717318090, 188043203, 291318451, 893634128, 857977530, 651877254, 415453455, 108530908, 548302021, 246469547, 12485477, 269661901, 513936296, 435262359, 594795520, 832593834, 233209088, 573900886, 919897424, 1061697915, 594253138, 347393137, 216591012, 738003768, 747164889, 1069399058, 1010219736, 971778617, 1055527970, 420554534, 533703218, 180442403, 857117833, 663128148, 235985958, 805911183, 805811860, 330208919, 47719276, 19541204, 594994139, 78251995, 440664887, 580077121, 630519588, 380227288, 62077993, 263437582, 42499648, 244479317, 706331033, 69847897, 506741005, 729474234, 23753289, 751887456, 212732284, 119172295, 919867875, 590487327, 1057408, 6927967, 783028186, 245818305, 355586655, 233263336, 651092887, 320026798, 92259588, 162789500, 579166415, 918781606, 132845302, 894782773, 846716736, 96674822, 291635518, 801276661, 1005652853, 186332264, 464759449, 324918254, 96845613, 379360135, 815417077, 292754465, 277794768, 167065726, 155358060, 150866529, 14754754, 275936041, 247889436, 927135416, 184240983, 1058097370, 114177707, 494434361, 668470125, 877992934, 190993918, 118778249, 303727095, 830458701, 462073176, 958106968, 37076537, 416149574, 848888033, 77346094, 132257872, 790070074, 313549189, 1028474380, 119866864, 332470324, 159551572, 650750952, 307649761, 501325596, 535884763, 180037296, 632578477, 397629957, 410261557, 831865505, 891939985, 116983129, 191805826, 144910283, 1021861832, 279384005, 258997549, 619713564, 689501642, 200274465, 141748167, 952856656, 53431410, 1036207100, 308162574, 468829885, 534013007, 216291699, 1021170297, 890638422, 70844270, 689306629, 492176275, 841632136, 15084638, 117217647, 176715629, 21132590, 78962505, 73304001, 172549504, 372234308, 995182998, 164738659, 851730015, 709116175, 829229092, 544590918, 312658677, 1015700820, 517343113, 860973530, 477988643, 885386011, 904535444, 971679170, 845408085, 558766145, 453720181, 719751782, 191220302, 1054733670, 680447064, 878950912, 24007137, 172932208, 311180193, 7173331, 310265708, 95505601, 178604931, 464855618, 382682317, 878902815, 796996771, 310878420, 1060978112, 144746569, 647325179, 319105106, 1001177967, 655792380, 613804103, 494053910, 261165653, 945661564, 552064192, 79379849, 4082780, 909868529, 809944382, 851362540, 878639130, 853531388, 974180796, 786520899, 272800600, 199338901, 278676133, 423112628, 118400405, 552714846, 651821678, 986809893, 408319374, 422051353, 59460419, 723595815, 322581923, 538687270, 250212992, 545840518, 690106684, 635573130, 890995508, 613285835, 705298163, 527146071, 747494614, 188863009, 267598996, 925590566, 54425469, 252274775, 771975913, 601569770, 883666508, 1036630255, 450915393, 672205280, 539864302, 1063380692, 399956401, 198954132, 378872166, 904658182, 999927058, 917169560, 521137245, 131167002, 970683802, 611983867, 927319819, 152728355, 591315357, 451041357, 962897063, 671069148, 547972794, 692286694, 514670439, 871862361, 576279082, 225303470, 129882628, 295829793, 872489112, 720235153, 68903241, 984031839, 998714986, 1015400395, 813817099, 1028056973, 185376830, 655553520, 162979176, 402085037, 281669619, 141751396, 331962872, 77784792, 61789934, 963031108, 7440592, 809138374, 116681570, 969286819, 37947808, 565692190, 191875611, 979182420, 725695107, 108369903, 850823454, 1030194235, 98250782, 276451121, 593126232, 852775962, 352979791, 580253328, 107572215, 698840888, 278888620, 824326580, 1058114630, 693406633, 218013048, 542798568, 367934880, 299964437, 562045425, 282413798, 444524607, 968759940, 22353354, 939855614, 291293989, 1072782846, 820309499, 547211884, 405943254, 71024776, 749715524, 902999891, 991431915, 356367967, 737524050, 78979037, 367881287, 777364889, 354144329, 287938369, 607871266, 754173947, 469820534, 995140781, 319987310, 579189621, 812677988, 935382138, 1040150471, 218403697, 518621213, 156581200, 102806909, 188933650, 659021837, 894968654, 860791338, 201790999, 902993073, 558483486, 809948926, 638936162, 178962600, 89233226, 812016439, 370714057, 322932597, 183685442, 838777175, 53160280, 1067091963, 510429070, 195802018, 481694600, 20074373, 1065844917, 886458187, 501333953, 951429026, 136269007, 36746442, 701735787, 523372152, 478316540, 795939588, 511074076, 747564061, 49426966, 428105706, 494963012, 544152915, 548194888, 470142956, 704073163, 598201788, 573472479, 68458749, 920846030, 44124168, 730454614, 868877345, 983930995, 295078025, 920623717, 932963067, 917537264, 828677771, 854858927, 27440229, 92115543, 1049273168, 828581439, 62406903, 274427993, 440791758, 284906917, 554027070, 519733597, 423563005, 200798064, 635543710, 34789939, 60666658, 963651820, 994970588, 1046184513, 805260429, 80009733, 831701287, 677230930, 721492357, 822139538, 732474622, 90455958, 724963985, 753424390, 208739827, 196147750, 828604793, 655834168, 814880380, 819232100, 32482825, 930531743, 772703413, 147416442, 149550282, 458708883, 638296512, 821579900, 928423038, 596314427, 816411670, 616570671, 815798886, 392061938, 522818951, 276158038, 705293218, 275100819, 1038139695, 750073459, 730334999, 5364706, 750298742, 106844171, 224660715, 660169938, 655422142, 257239832, 149329545, 966696454, 59082082, 900324808, 368634791, 824286716, 1013896001, 891796931, 333275813, 760892463, 662454925, 590969406, 86104911, 684609833, 449124750, 452400506, 305439154, 111991530, 88281146, 882153439, 81720854, 106374558, 176354747, 239595329, 303440970, 319736517, 1031889939, 374005886, 1047953279, 176450584, 1011315932, 187933275, 506646048, 85632058, 821048974, 367743530, 1064577513, 1009291683, 283779874, 246978055, 175088003, 489359789, 1043200144, 826124266, 551703507, 297527205, 136233913, 1034577962, 824337232, 46344396, 515003245, 354548728, 428627699, 1010026930, 315433382, 93115669, 125160020, 664911323, 114049365, 198911140, 696996431, 287602816, 448320596, 761985999, 1052243824, 637227833, 262201734, 341351312, 16760676, 436414528, 442025266, 875038696, 407083050, 340382903, 808577592, 236393021, 711235180, 1061090126, 421841215, 216804763, 853568796, 202407269, 749800162, 935375381, 120689788, 1041109241, 1056680277, 93061461, 677998751, 253684345, 932149470, 339436648, 222054439, 906341056, 572740281, 866560765, 1008683195, 235520055, 124093964, 718983602, 12989508, 223089670, 743549404, 585404124, 494997307, 518325763, 217746395, 510335402, 2929512, 432139751, 760153343, 47309286, 791133946, 926225498, 935540632, 345306401, 70903458, 598089735, 791677846, 90465572, 765707282, 38000623, 374211809, 18141135, 606087845, 530374574, 179643579, 793168051, 795175691, 947478607, 516575680, 882148090, 821472490, 681555259, 1016879972, 629058621, 390790444, 166389199, 600110992, 527146820, 721132095, 441081120, 1038356886, 1062151485, 1053668128, 1051687935, 202430176, 259111883, 124334037, 544096857, 71740219, 947336824, 847805949, 674428662, 883020748, 648026165, 171252190, 754736134, 719927200, 997602414, 651138469, 989290363, 178293415, 876211755, 301417553, 466512617, 503922019, 800041980, 694703664, 348788830, 943778976, 1037365306, 59134177, 396938906, 129040288, 621297009, 106815544, 187663233, 612630559, 235012660, 148811553, 227784949, 907845059, 789542305, 269351370, 535378785, 159378606, 160184961, 121503002, 1054342711, 405255047, 102516637, 286240563, 626326384, 652924236, 966736699, 889182677, 647238624, 579921407, 66837996, 566571856, 845892928, 835108425, 363668474, 257149748, 1062452088, 1029015349, 88626512, 287577984, 63668456, 469560585, 145711298, 806509742, 215018924, 117043570, 92197712, 46778662, 194068166, 815184578, 528180045, 854471733, 825252790, 816058292, 553083318, 1066761171, 221067130, 654287166, 52576542, 915585132, 852409971, 275267884, 434926170, 79646262, 135069231, 301792932, 74142443, 384819060, 338032833, 406782212, 570815081, 109135856, 270178698, 815925553, 711840447, 654729773, 835621138, 567083639, 664380899, 362769777, 246363510, 1027025172, 294636879, 494046626, 1061388406, 497021340, 7936761, 495854260, 214049094, 95831752, 654884624, 62038880, 125752449, 818740874, 740834129, 903289314, 676054270, 737810187, 839597023, 157483674, 179282553, 301263358, 21692321, 797950174, 168294504, 368607309, 111591444, 997377739, 221033202, 738353941, 473197853, 431782879, 362691208, 150925248, 153918192, 51007528, 592520581, 367215570, 863177483, 23853876, 7808453, 828296042, 893356958, 159659885, 861866070, 276307850, 82345420, 725149696, 979906284, 454143442, 842428773, 327627858, 511888633, 748190114, 247498196, 684477491, 1022208791, 295428320, 635973102, 272575034, 371662050, 841303133, 603886250, 492781689, 698877781, 493619539, 311888776, 561633765, 329227232, 782972606, 307420675, 755626052, 613370526, 264769685, 256717358, 67881180, 674164915, 220500880, 553877374, 653762468, 31956842, 639673073, 311310473, 715545872, 427160606, 461848176, 831218655, 1041821584, 45204151, 877139719, 312266716, 420902799, 965404282, 59091189, 617948009, 389550126, 7987474, 748164270, 794452505, 883545146, 568283696, 612004156, 329710586, 127533381, 651016089, 590257072, 250280401, 425375072, 542310718, 729140057, 1062509776, 939985411, 985427565, 22191186, 747068815, 582376553, 290835001, 527287514, 562636534, 101281634, 900936865, 634726271, 1022799243, 284987504, 956949562, 708430886, 416448446, 957266371, 110030000, 283354480, 1028609806, 28688904, 375360802, 356407731, 222523304, 329113355, 288104971, 465880638, 670238900, 281882979, 181578322, 238744133, 405364415, 54288946, 1072043044, 644140406, 111055962, 396366078, 13412261, 25368920, 103243624, 783989428, 1044823672, 909806323, 619449123, 750235093, 60475312, 637411983, 311472572, 631028131, 736919271, 894410878, 495707462, 512526846, 129186431, 848919057, 662228235, 190072536, 586206202, 175375177, 810094382, 611224730, 1033272184, 714914141, 790413327, 570776453, 1060232988, 127740800, 297955788, 606649277, 39281444, 432468653, 202217786, 664511406, 560714257, 697745660, 524215299, 1023362767, 986888293, 760572579, 65490665, 976727742, 930571352, 725300559, 826539906, 176220604, 558389334, 45051861, 38364282, 173908212, 144796939, 568207595, 934519240, 794790961, 421837542, 94687703, 334187239, 420054259, 761063373, 332411998, 795847085, 284670558, 719703364, 152397368, 906995304, 455661347, 78554242, 641951970, 276221019, 703599583, 1093738, 839186477, 20712727, 820914546, 403849619, 583158643, 307182671, 1017557277, 365146325, 984677527, 135813295, 384291094, 259467679, 510944066, 684934079, 743791673, 57684894, 137512561, 1037368206, 377632623, 933602324, 448245743, 1039294051, 477949287, 340872830, 518112928, 410274231, 1045854748, 538952840, 70849687, 162006738, 57639869, 327680702, 761251433, 710780811, 710611255, 288861900, 150282972, 1055427194, 307573108, 137372597, 120466722, 306755464, 99219508, 954677619, 303468091, 381541919, 352635407, 861182916, 930997543, 48430996, 1042710315, 72399076, 588545126, 196978397, 46934375, 294409251, 914343170, 767480145, 990443643, 210163789, 1065691944, 309154742, 656234411, 603031556, 352532653, 228245423, 847170824, 726375488, 261146850, 380298323, 896676189, 663153171, 218566502, 663144021, 182375982, 1041133352, 971092524, 273538672, 163615796, 358558286, 164411376, 25448956, 125498034, 967472441, 1048384492, 424295418, 969043852, 705817659, 305595523, 999076494, 884724263, 264255881, 526218885, 545833087, 956172626, 531304266, 862483026, 154164289, 499695063, 947112053, 629216314, 411947800, 920112406, 65796086, 429685479, 29034645, 697902802, 963713736, 744043143, 195905735, 454748866, 897125004, 165112736, 992728134, 890475812, 371023130, 656330041, 429018246, 726953695, 278709189, 525712508, 127194709, 631676203, 250953853, 212296707, 963583050, 635521544, 468715696, 757088716, 558022467, 726329668, 292326498, 67357506, 875241306, 66501718, 49068540, 20237987, 164334769, 996586700, 10279504, 347630283, 398731002, 19451342, 782514297, 657957553, 980330944, 928398967, 1050233311, 1066056346, 264250901, 810292261, 253237232, 1030972894, 208338083, 276354766, 155427978, 410010520, 260434963, 115145721, 864573644, 864416257, 559074025, 1000715146, 814043953, 528950046, 953336687, 1007564836, 46274860, 626141646, 505027727, 76546774, 774648306, 363893236, 593039058, 786391281, 562812739, 9831501, 297699012, 684138991, 391011256, 427881890, 1006583647, 848613859, 116889719, 203914950, 260583450, 442130687, 475808370, 657227532, 334419313, 365400904, 245579078, 812562175, 270770925, 752458005, 73854901, 968890762, 918838043, 519708559, 756516403, 306157146, 776675383, 8327164, 923664422, 670655478, 674841538, 538568507, 34131616, 257963938, 545254184, 565287295, 701133640, 170889316, 748737849, 737660989, 630988430, 360696616, 112863544, 961912560, 637777536, 286113831, 943487518, 895853272, 1058721097, 252718824, 153537330, 971223422, 88553894, 1018090514, 841423740, 560719784, 631680733, 255180507, 308114486, 617119292, 32224359, 1072844877, 1071801023, 775105200, 140655830, 805499139, 895810074, 935150720, 594394188, 1073360758, 464606717, 1039444268, 554499385, 112031267, 48638243, 987651750, 1001221747, 481591523, 205465310, 298289067, 312263421, 853587929, 1065924215, 282559466, 366118832, 119162893, 297217338, 324866067, 801675331, 196394705, 133916080, 932232934, 498428311, 727823146, 285669117, 877506043, 56295701, 648294435, 991527280, 200334398, 849295913, 505928924, 505002975, 400898117, 567009810, 499575964, 234537464, 616985380, 203598895, 903446854, 410501208, 785882068, 724678616, 761236487, 546729454, 13422052, 1027796252, 165794966, 560023912, 677115688, 419608191, 1008166381, 161423886, 864711677, 718274621, 54314128, 599129080, 180147731, 271831657, 489504310, 34552159, 608667645, 18487938, 492302264, 256807235, 13478023, 791790960, 27075347, 838714916, 280641891, 740559360, 208134524, 521048141, 565465312, 298230036, 580868716, 285332973, 842470314, 64238491, 741146642, 841049415, 451252964, 323685468, 250189981, 396947349, 41106667, 416699830, 794830698, 702749796, 657072872, 52647286, 227968273, 568609161, 307805145, 984583510, 501621191, 50559171, 649553405, 465439502, 210652058, 857964877, 262879692, 784001125, 1064238529, 18599502, 652362908, 327568145, 955272387, 767534018, 301211558, 601396158, 833573899, 604461797, 937225948, 1053193066, 287043753, 514078672, 347224939, 183981144, 1025696074, 795624116, 386588188, 65671373, 898992870, 937831990, 538870700, 687772627, 909916523, 681154686, 540987887, 394722920, 302381368, 266474572, 269286489, 891394581, 992876022, 82106149, 225413561, 411549997, 621106040, 350729698, 726522185, 889893777, 743942735, 265502041, 590792574, 238093928, 882077943, 49546961, 607720108, 978620859, 526575710, 729288789, 989031862, 162944587, 259552960, 820719820, 842350561, 1044579410, 891368590, 409664964, 745244346, 149183271, 97757165, 436476439, 765427450, 92273556, 880065616, 1003038499, 966169199, 300038544, 1030502148, 685296715, 623530956, 371136327, 675826605, 95085560, 738060722, 349561115, 648651481, 992520477, 989072863, 486610985, 348563989, 825914330, 458899128, 159826432, 1035288136, 990851584, 909836712, 207458766, 997516735, 625364289, 522462112, 1022677502, 639262884, 515520903, 29152619, 700289555, 260118610, 84977742, 244598228, 723454987, 185916374, 851388925, 189902566, 869211350, 786031039, 190888803, 228991701, 123924548, 654981837, 590589872, 33342662, 468798933, 124037307, 388142439, 957441751, 15388295, 456122517, 808050962, 1064981433, 853776112, 1012364977, 92969951, 663748814, 149808022, 978350737, 715430924, 451445830, 161195708, 325269970, 1030145204, 972516523, 532521445, 259063789, 487549310, 854932148, 598313591, 1007276398, 942050645, 554651082, 109019473, 1030125650, 368485432, 892915390, 713649891, 272540158, 333814440, 632720471, 540847932, 754299207, 690869209, 498394725, 380756549, 134216645, 276799378, 545390377, 698182626, 871988567, 1010259879, 488740018, 13764366, 12002098, 409951659, 585394931, 278350875, 709021726, 411260832, 330938415, 205531285, 931794533, 8070445, 335417430, 603654174, 635549947, 40016615, 481030358, 600257647, 854835194, 1055835912, 276878738, 918686170, 515376115, 325546099, 531272258, 570417611, 800639657, 35897833, 747222520, 980808982, 470181463, 102298187, 668102228, 140169774, 196690195, 300450890, 182027036, 441924642, 989050055, 1294337, 127185309, 794914326, 300132806, 904001952, 270720069, 323170813, 165642679, 513987800, 1042088726, 171067632, 460174625, 440356837, 16981892, 938516827, 818162233, 845238745, 894209460, 633652756, 624456429, 913097958, 1064053127, 802731085, 572627234, 645438586, 301140930, 200163789, 134914689, 693779068, 404811413, 1065817553, 324202311, 455104451, 35173353, 327003068, 106484214, 848903272, 616299716, 991049228, 705366906, 782271169, 157551427, 324499682, 653855244, 675676070, 929591749, 94831960, 204741381, 730757684, 823253966, 9973910, 274051271, 670785451, 1006779218, 81417804, 1004711384, 486712560, 48397902, 82678999, 939720068, 502849884, 1000098405, 533374595, 112297702, 271933301, 569494175, 650249407, 970449801, 868466390, 457946559, 637671407, 775414953, 9674838, 379302377, 588494549, 428487913, 968614254, 184389738, 764537916, 1064218566, 830392292, 759204571, 899626274, 727583263, 402830779, 341447190, 386010753, 416725322, 890333062, 301376506, 786302935, 264185004, 599318045, 185962989, 325500188, 576410587, 1035583609, 86848837, 433536693, 22013669, 1051199016, 222324729, 664041403, 753094709, 900101114, 835451786, 651557772, 124085736, 835216256, 237680822, 545507609, 474955370, 779387960, 378870238, 893568678, 59366424, 597878530, 128248580, 623742544, 161016050, 297538281, 561599935, 85097424, 258242960, 162042302, 323760830, 770333613, 411431738, 968967071, 530087151, 57866008, 637870311, 949531984, 21300549, 368998383, 608928050, 851039550, 704982780, 1040208921, 900374911, 81354066, 742722609, 706960348, 790321780, 974012316, 417578912, 817400813, 230434267, 527841641, 267099585, 519984680, 792541622, 624889846, 645777980, 9986410, 364130493, 843300580, 56305610, 186432954, 847558438, 133981688, 443754736, 397514797, 153153931, 261881666, 534741133, 140904980, 66097992, 708968268, 197054951, 488911235, 1048249873, 139185614, 105236886, 335581678, 205361297, 110056222, 692143801, 502999073, 437518214, 247616681, 79253791, 386952161, 171283212, 761232637, 573133727, 337695125, 670256558, 167266975, 327201291, 695801602, 646563377, 892341635, 410798758, 148867337, 36993123, 211229765, 491713671, 1011457340, 994903605, 1046093487, 99070019, 207550094, 137525550, 890749997, 404061467, 1054553037, 79188007, 302697313, 138088922, 477084207, 964032224, 658748790, 1066963553, 451215308, 749272390, 385449072, 81641027, 213297450, 885161171, 490796615, 814264090, 554935026, 911915465, 995898401, 724055135, 356012426, 420184227, 1008688107, 302732733, 201967245, 965609835, 301176526, 993088625, 332446121, 938467816, 663971510, 446626362, 127051615, 469687116, 441195949, 555206280, 811410328, 575181940, 526720260, 125095660, 221434611, 1025099733, 657099649, 169514195, 620148246, 562907237, 523273373, 827464569, 319047597, 890507243, 683709468, 821176021, 773277654, 705639531, 745065530, 753352230, 1001632307, 703435808, 775142432, 871685748, 994507088, 79159090, 76552917, 717509533, 232149067, 712445145, 422686505, 924065355, 553798677, 667410314, 170532698, 923293348, 205232778, 354770303, 364915603, 181380481, 146907372, 93410136, 1071006354, 412864063, 407223227, 403124673, 118438408, 370330317, 780740478, 1017219674, 785901603, 934309297, 822303928, 162216551, 510549491, 592718891, 1062029813, 892131011, 76481129, 186676960, 231110705, 13296855, 107419911, 598060010, 807280316, 770886851, 597440076, 390538813, 947131327, 1071780002, 22180429, 472555608, 205538635, 108531043, 354605949, 720771337, 231866483, 10547876, 697452625, 333148499, 278399228, 843547976, 659090042, 275820134, 750534595, 960840439, 882829165, 337173139, 311268528, 857893975, 540983403, 56925657, 802167157, 234126900, 695802031, 579723030, 978834810, 436444298, 843674611, 815916914, 725115045, 928532098, 839643481, 97265185, 303906346, 79122143, 653519523, 52688287, 868979067, 737383804, 493359511, 983061125, 930545464, 424327916, 151138454, 359111119, 569084862, 691869314, 134164155, 325275474, 364817203, 235459025, 228507790, 432967869, 68973515, 995791586, 889214161, 1033646635, 874159169, 668235340, 608827869, 954133536, 1035866799, 296857459, 287532544, 532848082, 1030332916, 55345281, 435011606, 559445220, 815329902, 985808225, 328756996, 255919506, 240267683, 525165705, 726956152, 753991452, 1010671709, 841831707, 592111590, 866049101, 605253449, 85325839, 25682678, 17437206, 231708910, 16218285, 9178867, 158091854, 222827435, 120139260, 151179298, 331202502, 1063199420, 163966695, 989533196, 406499030, 816564470, 151567457, 819043632, 436359599, 263420390, 461968327, 929581883, 429084730, 264333354, 263668676, 865565531, 603600861, 332263430, 844494208, 57548236, 619697412, 294984993, 299554798, 662406796, 557100745, 81713213, 864444076, 382468825, 860679743, 882830208, 294126809, 724383456, 786033000, 247698036, 293579656, 982713827, 1021974085, 288618634, 487298858, 304146567, 637339392, 908855088, 960867517, 671060342, 714313355, 793466176, 235127077, 54134572, 104892504, 721669808, 808387074, 375682353, 415356533, 800178022, 995602206, 927863149, 174099605, 684488527, 913104666, 794950285, 746898346, 732919658, 1051846380, 412074367, 569217987, 1013273538, 111818520, 544499818, 182758777, 447105374, 1036149300, 751707227, 69254318, 696222084, 624629370, 152517685, 222094239, 493455892, 331280748, 277866825, 838292618, 720274116, 944149797, 933429490, 278798657, 377254478, 848392839, 419385463, 774928385, 458566490, 732110703, 189909171, 866308024, 496395856, 825376351, 611945320, 830631180, 73899890, 795888766, 431244384, 680534871, 1069397334, 940516572, 55122998, 876531257, 662458699, 990445427, 595457668, 773620800, 1019602649, 1057957154, 1050643786, 308024137, 52936034, 77028660, 833800470, 364784986, 318443889, 183797152, 458769372, 120764703, 468702658, 490971561, 511698286, 605032679, 366111175, 478598039, 650041021, 930530674, 419058361, 772436129, 307069931, 616618814, 477295197, 298593778, 526954775, 902044826, 1003016689, 650051790, 441827074, 791218872, 745987208, 279449796, 234656178, 1017873473, 411076058, 768823079, 143767254, 567165625, 849398599, 234872071, 958574323, 255271733, 717806300, 912048718, 561912419, 229318300, 11579578, 717822170, 923825455, 5937061, 847176653, 495703879, 124897569, 896506461, 790912057, 463288008, 499111558, 1029478521, 161733073, 16455800, 77849476, 380775749, 235873706, 717993782, 889258310, 20053896, 172497339, 71178734, 262295001, 1037869044, 753458335, 712788540, 718036084, 146187996, 815641720, 525649288, 485123755, 348333752, 968418005, 358563441, 626728068, 254468091, 83561895, 700903503, 260581228, 623946659, 284642128, 347860503, 806507989, 561568318, 1018639749, 1057874225, 437632769, 854478469, 884126155, 1037207629, 214655967, 555118788, 90926842, 955208775, 20094864, 640400069, 334629125, 820471654, 378810410, 907296067, 447635395, 730534974, 474689408, 597502272, 72471456, 71613109, 594839442, 1009985545, 850293778, 929470791, 633504864, 567391877, 968782312, 168420802, 875394071, 593172506, 95080725, 667274623, 346348638, 250122621, 511825027, 1018523500, 572058135, 810334480, 88907219, 17211100, 216516614, 182778928, 926654183, 518763144, 485362967, 459428180, 261098560, 764401434, 576565344, 77181489, 339040899, 433554853, 406245175, 375487950, 670255734, 882188143, 78429741, 197999782, 872581677, 883913730, 379531623, 436408234, 275175642, 833844275, 502933710, 382314952, 316360595, 229435363, 352078703, 24846582, 828809392, 439868074, 491121504, 212921649, 77358125, 50957653, 76139202, 412273549, 321794595, 750127428, 542794995, 278564016, 458797664, 524882078, 353489861, 843609915, 744253315, 5516059, 528998722, 283061892, 385248020, 877715283, 45505930, 384398303, 100063167, 201244479, 794509855, 834746587, 378514492, 625238602, 779648413, 472854637, 351142364, 798177307, 699539377, 589778674, 597318523, 463090342, 984789880, 388358193, 51979226, 725111306, 42500073, 735046036, 167425992, 901357100, 368522772, 554978667, 659770225, 1015736154, 989024703, 302759757, 699978996, 470147806, 404896423, 244210986, 90092397, 919686813, 890089091, 291217851, 249743226, 383625858, 324799115, 464654120, 498818003, 175974653, 989501764, 1006744079, 748041294, 32373304, 991360431, 593222170, 618528276, 585556941, 400931433, 567657976, 56064226, 411081380, 1060069226, 999150879, 378158602, 807553018, 531078641, 730840847, 1066798536, 539731798, 125379589, 322087078, 776551015, 706140237, 817922517, 171900648, 587469617, 418108127, 465547870, 881454017, 145680324, 1012642850, 56900961, 316015890, 339453524, 755815284, 495677323, 44053022, 379205038, 712950278, 145989562, 638576161, 651497363, 750782220, 256916865, 747634745, 177620948, 456064439, 882988312, 753435435, 306326581, 32945594, 317352951, 325056412, 627603183, 112185101, 1053195881, 743165930, 280711914, 756128386, 526523206, 331456968, 1055601194, 968950276, 442408679, 390535006, 380741040, 346644467, 253152936, 161624672, 805977094, 32369504, 4197288, 927892874, 63174754, 696633540, 369602249, 860738353, 160238397, 192042148, 762539312, 616911851, 516851785, 9354057, 435717299, 46185511, 756649121, 401311455, 51467248, 230882924, 231853206, 737637046, 899163546, 719075349, 504005949, 100487479, 1041338523, 934281024, 954760380, 326663650, 686838848, 687768607, 801038241, 880079536, 399843411, 96261839, 29817812, 589026829, 91736781, 350993230, 649492031, 607710335, 427581571, 860508880, 538924569, 380989195, 878779919, 212139822, 525752328, 842633642, 623274782, 863989949, 141805471, 272212867, 212299272, 968444043, 778507396, 794326754, 136127784, 190596771, 6955545, 343771899, 1024637754, 142539247, 572612474, 524367504, 824253514, 474711499, 130019501, 1011011972, 252569309, 874237603, 189480365, 935270267, 706431861, 673972142, 124397155, 185171779, 664305912, 782442592, 536279134, 465745062, 678730792, 680100843, 481787667, 190340045, 377580004, 508657065, 274527882, 166142538, 341027995, 105155789, 848943184, 798775371, 889283526, 154362172, 76071354, 346502421, 409230241, 135190976, 1023130358, 259206030, 837228193, 665326445, 269839004, 90571066, 872672555, 337051111, 332493491, 5094807, 598162430, 378630352, 140024846, 492367545, 585979259, 300067258, 782055083, 472751074, 73585349, 691225019, 954469899, 144309171, 871535159, 346314141, 169204097, 934832584, 926497700, 264016947, 569289547, 957766966, 245728483, 279242566, 633701438, 39142545, 226231735, 110704577, 293784868, 207580925, 802139628, 137422433, 996641891, 864884674, 844569260, 134319852, 745938187, 797144943, 406364362, 632311065, 952626095, 516387326, 510313508, 943418193, 524189977, 91945122, 588392071, 74546807, 124011007, 733648525, 1043282996, 333772442, 610534928, 874955363, 243817753, 722846390, 206396518, 868086769, 391585822, 497800026, 372293128, 825395488, 155781536, 224708086, 926883242, 306030698, 157628593, 549697230, 525570225, 705400538, 558552472, 311247083, 712020174, 820501641, 654789945, 781641095, 330105811, 432507546, 11922208, 346524574, 976948148, 238798644, 611333129, 599514650, 520570711, 536439467, 911809936, 666746086, 54960448, 264149877, 281922124, 1029912906, 88019454, 348739274, 765483889, 885610206, 348643291, 406973519, 462304535, 20391327, 1065904529, 937871345, 720794336, 677860923, 267340901, 796548470, 103017632, 145039771, 884264310, 107030722, 40966090, 98701965, 971134778, 950449094, 692949768, 779079457, 312887445, 943797603, 331160573, 406473161, 895175250, 698473059, 191497148, 135235135, 676051938, 944075995, 369498825, 497960920, 827909733, 365368402, 203297785, 1040089631, 210492793, 742281909, 752460878, 750981253, 66003789, 388875450, 54721715, 137688221, 131807744, 479330594, 250379811, 653737102, 255438772, 121425004, 754402264, 943097590, 212567864, 291425350, 883975864, 605591994, 314835025, 971664295, 1070795420, 1060090009, 221666210, 394111775, 264398821, 270653045, 940822005, 680534564, 317689451, 711913542, 838213662, 329463996, 679804977, 864063603, 160056043, 752497389, 204481888, 866566745, 12642606, 172158924, 439869053, 856912375, 944440236, 517181750, 194155937, 584118700, 439745338, 515474144, 15839713, 716697199, 859822391, 949246858, 40349692, 488016615, 284323195, 862416759, 293608131, 863567947, 576357729, 830384481, 497462428, 207050848, 417820310, 429331363, 262594364, 527110039, 183029927, 635745866, 336299373, 812943043, 222360639, 1008758412, 1026349497, 837672167, 9167493, 995445226, 808642123, 450697311, 577581126, 858915967, 279866403, 514624799, 982609030, 621908824, 964583275, 855056748, 200208557, 339909641, 618687836, 677255011, 318758257, 877118512, 737589632, 1052101864, 146645367, 7538533, 466041368, 1044602317, 1062528809, 408862182, 149138955, 874743722, 610075832, 504958918, 144634538, 657393019, 98458444, 178292979, 41980702, 466801468, 926007280, 288166331, 758528741, 420962098, 739903268, 541374539, 1001393263, 373462484, 264148664, 940768618, 954997512, 294168981, 105031191, 996979949, 451740261, 136742951, 3155774, 156162641, 249264481, 126753639, 138807683, 418350337, 412220108, 897912279, 499306724, 501941118, 941867136, 205880122, 725417834, 699924235, 612575401, 707362420, 304608, 483353091, 662739007, 817342012, 877688608, 704489751, 555671666, 730227509, 1073300767, 446293325, 633781325, 881769975, 6352609, 785963693, 354332660, 837416463, 864001983, 547715582, 355340363, 650837071, 715504252, 850926011, 896193357, 996757171, 237030386, 823672700, 305324438, 329349981, 128725692, 42662105, 110775533, 732276542, 976190706, 221194705, 687397915, 191094657, 343487324, 830084078, 773442261, 486142499, 873856501, 554566222, 952247808, 941238415, 316308945, 623955460, 709584140, 549557525, 630251819, 451739164, 557870290, 180466371, 516598203, 410342724, 601429212, 326560127, 715412932, 94153238, 1033071230, 642249117, 543851135, 206353123, 195314798, 923009566, 459793294, 658250302, 545873665, 718004172, 510870794, 656463059, 183607077, 1058945582, 917109106, 923328992, 916720318, 437557397, 219204976, 393783981, 518587307, 379546353, 629026662, 672107415, 774318501, 1031944709, 236698068, 119341178, 294020915, 601794699, 707092965, 362877214, 178009495, 297782810, 559712696, 805694127, 457573878, 461539725, 684340636, 823660001, 1013725147, 426839288, 520063626, 90500452, 816482451, 850996418, 5772188, 580656933, 892855429, 416472037, 73291419, 297933364, 92589479, 882684934, 1050488265, 393404995, 1027333225, 403114227, 85704944, 249288698, 837509743, 1822146, 419477022, 814771944, 400128033, 373607946, 538972022, 849873448, 386239393, 338599783, 487137350, 832696355, 464362580, 626671930, 420045821, 550054074, 505116180, 803262231, 298572612, 394720832, 180298695, 1022699695, 381517012, 39949769, 825417715, 409638316, 814528601, 218392912, 989050646, 633478739, 528603242, 548137597, 32299959, 437686763, 944728758, 493474615, 1023015278, 937916384, 702865103, 196617695, 544689607, 813608809, 764378791, 1044770312, 961028405, 103925315, 968989565, 248411991, 169862847, 166538851, 116262719, 390292892, 890319306, 958171922, 660084759, 506220425, 299798781, 650385422, 252603335, 440839042, 949679720, 723079011, 527675320, 76094198, 811841530, 822465017, 156488517, 656909637, 736063905, 1070717093, 722676380, 699214756, 398953841, 388895442, 279381650, 330865023, 755892792, 1073096584, 335971302, 599964698, 626821949, 878396500, 515783164, 978976079, 566127651, 370549820, 469329017, 145100642, 1030740356, 440265915, 758078469, 420924801, 752568729, 915835616, 8691732, 62782690, 649483034, 671471471, 692764470, 369489444, 907326704, 371311056, 340614591, 21026199, 349410038, 373817172, 220347851, 308419740, 709560600, 671609359, 590525433, 119615299, 619233816, 986381833, 834638461, 92877010, 606815714, 314675914, 487188080, 467517848, 407406925, 446771616, 142238785, 589533804, 238817523, 414497916, 830815532, 1005559926, 909114872, 973255097, 445526702, 319669424, 887917851, 551473558, 805511708, 255328227, 613949283, 498500336, 609152159, 380089407, 290681222, 705072054, 707302188, 658495966, 776565310, 26115158, 5583267, 640877969, 609559962, 496785783, 804278667, 215326593, 148302671, 740848674, 717086368, 509626950, 13421687, 1052456585, 635484346, 97757735, 826093536, 806544134, 825067931, 1001891167, 359958928, 132980677, 269921919, 986640312, 1040476118, 587414208, 805961751, 385836973, 726190048, 194765442, 524944762, 711971817, 915618722, 940691579, 241413561, 741359978, 501986479, 80800261, 657361605, 1033305655, 332025779, 771506912, 606705297, 1371953, 307212827, 914403617, 279312296, 6034666, 746066417, 386543895, 1037054967, 705401622, 622862064, 498291055, 526908534, 489794709, 660661205, 910382869, 996824861, 902351487, 626435942, 503501355, 607538594, 932203636, 179824828, 366543391, 853767650, 937746413, 148322199, 493397726, 994796143, 20246558, 227093153, 493829052, 139043331, 51207717, 392732172, 832560107, 422119469, 468575600, 431982155, 176604312, 184761108, 1022196729, 832455472, 585749527, 8349815, 119371503, 317428804, 387574714, 285074912, 371563066, 167929479, 858360072, 851797884, 749991878, 13706531, 505277158, 159217850, 377696440, 201074246, 671639315, 886431566, 605211049, 291786735, 792389826, 3504996, 376385536, 1043008047, 97375701, 110351834, 115653826, 396233310, 432823195, 1029723076, 830227811, 914819934, 960364600, 111984961, 151928007, 119052873, 752191551, 758238628, 919889414, 910465755, 312871251, 415309018, 744881866, 782065424, 239963483, 826379076, 470435695, 1036586528, 220961113, 639107234, 153271511, 416552038, 394365102, 558920915, 568284370, 896167445, 193874949, 457769910, 261911572, 795445080, 332668070, 570094404, 705524976, 618848617, 151667371, 701493485, 366450405, 417136820, 280389570, 248313298, 373525280, 447425863, 672627357, 311836343, 300342264, 889600739, 807629614, 9832990, 741848976, 335317029, 543540986, 1072646630, 485631404, 675160349, 935288494, 182742954, 679928877, 567753363, 7329756, 102421596, 283647075, 559194996, 618792772, 893201672, 939518972, 844109122, 972459957, 674735806, 916285258, 736588175, 91307187, 877552026, 916318289, 961384688, 895700205, 685068596, 929627262, 957575411, 229469385, 248517188, 105423638, 59729285, 962524070, 1031816469, 749427766, 276100807, 312845719, 1025601885, 765703274, 600539555, 701957105, 207716511, 254356983, 203035399, 563337241, 622145164, 170681485, 613480838, 826495553, 778309561, 573973074, 504138767, 920387343, 2320803, 950941054, 140418292, 915390448, 449309957, 261882071, 25689566, 656646885, 345545585, 442289748, 821790424, 738139030, 258138395, 1073213197, 589328131, 579986547, 402461567, 919996332, 371126177, 531602800, 226420708, 394623712, 938805855, 965389037, 1029461342, 523889215, 525034406, 520653398, 312481639, 1034681661, 591176968, 662247306, 853709298, 415441416, 1016731887, 37567413, 828017687, 1048605546, 981594299, 247226445, 375079114, 582775764, 1014351065, 345058515, 757754275, 868087216, 157566240, 512951302, 894038526, 723420173, 476584109, 581247898, 292565700, 369191187, 840559179, 1045794092, 150427295, 732980225, 375178663, 359411796, 270508854, 46840036, 107285873, 371309712, 662403136, 667767667, 2827868, 1054533519, 157738035, 63255925, 319589400, 501104285, 866998786, 104896363, 199988400, 1069578233, 247632754, 459109362, 815393466, 201233530, 24921422, 228150908, 663968142, 66834367, 408764652, 920730033, 215553631, 650079869, 476632652, 5625926, 529865945, 392842584, 568350016, 893167276, 946171474, 177860658, 794595122, 945421870, 938503133, 424554762, 16712053, 841454912, 557214930, 368343738, 821999396, 545060761, 345669511, 826814341, 272861371, 320847839, 761848382, 413102654, 381910811, 916206947, 664287465, 738919681, 952307959, 953942607, 524019194, 318234146, 1018800589, 315804813, 56925682, 59048025, 167446192, 468430738, 515975285, 5189352, 227387495, 905006685, 1018315120, 303384047, 194659381, 577514489, 680531831, 949262024, 558852495, 607419928, 653186763, 64421833, 682288105, 958290938, 408111682, 90294822, 659251947, 748629694, 518593752, 523461600, 887169910, 100170585, 989062055, 747289855, 639584746, 448395549, 72514303, 313937632, 661926845, 463789203, 528470043, 945461919, 998195339, 27415554, 987834501, 441190194, 898698610, 10815016, 943485784, 342716142, 263952197, 921006885, 207962523, 94551973, 560899473, 298234906, 799996677, 392551625, 163822669, 122723865, 858234992, 1035618356, 377698178, 105989105, 284056136, 1067510275, 61969063, 548087295, 341380308, 191825102, 204338703, 802332523, 310521368, 341480679, 468996466, 936406089, 347658963, 269885162, 682801181, 37369915, 853216556, 942273347, 543045257, 463892344, 306290148, 653952158, 1013487691, 913824073, 703558087, 354783882, 47567353, 972942940, 977574735, 1060877461, 851782152, 405595111, 444281906, 234376587, 392765313, 714443468, 1072167443, 974443708, 74004776, 993806088, 20187798, 676148703, 187498491, 508403819, 1012731595, 370682018, 417824659, 748135182, 126221103, 325482858, 121884420, 363807879, 518907979, 842779875, 794468018, 247195003, 12348829, 814958801, 1040045361, 38035909, 84631456, 644665104, 881776868, 595141855, 179781721, 482190041, 581292569, 231811503, 486084489, 875997377, 906575730, 375176826, 214354433, 288546532, 677104241, 10179113, 4771008, 31357949, 954640842, 934711188, 202447351, 362215513, 810210372, 756805871, 148405062, 866080324, 264189697, 1047678855, 648276604, 74251471, 816444820, 176238764, 640949516, 520498395, 968462949, 609174247, 639307740, 185287911, 643460882, 76180166, 840695982, 588918891, 925524934, 808142420, 969367952, 757109145, 492957686, 995887954, 732827456, 240895159, 380809183, 510286409, 434019426, 469266736, 921644514, 355775450, 873501321, 755378803, 35194776, 816338740, 289991501, 622731876, 449397071, 255287828, 435114916, 61017767, 174588157, 370086881, 611372090, 175170904, 72453129, 477735481, 623621249, 802628986, 1012645062, 63084806, 853362539, 248377742, 577238886, 556614817, 494022041, 104767518, 459495596, 312005688, 94592667, 832289135, 182674370, 1059072918, 518833684, 964705415, 799149840, 238745961, 841419516, 51104265, 254894801, 589517510, 778596993, 742166182, 462756643, 477235985, 1031579901, 649850196, 120015973, 63356868, 405321104, 638227985, 522805890, 159260791, 235098246, 697946194, 96536571, 852392272, 115744854, 647817526, 1058325753, 569880101, 772392973, 237255252, 307131777, 832358550, 413209960, 635876432, 358859360, 699510976, 91552177, 606831428, 132515356, 350806990, 858058064, 286987013, 1023856037, 551626545, 188666282, 608987911, 778296187, 749623827, 802249394, 866555537, 79431368, 352110930, 193061351, 948003259, 439027435, 902602159, 846033233, 848609085, 741839143, 429528672, 921089132, 376592592, 672526655, 385150225, 6652024, 389262585, 366010858, 748710837, 877942286, 712117257, 709913894, 202693324, 363933017, 631663611, 1068249200, 976503751, 164601975, 38676039, 750664844, 166160537, 378772688, 571485810, 662232241, 254801472, 677658027, 336811967, 877471976, 200323334, 762999416, 945495653, 38114384, 61924371, 764835993, 138761198, 771953648, 427717613, 1030377547, 88735111, 179309944, 1011354745, 158626753, 777656555, 274971926, 859361209, 135101583, 975175471, 973747603, 714639537, 814174944, 838494100, 824963790, 695873712, 540235884, 166596628, 875561262, 1023101140, 591841126, 355763217, 758997216, 80334567, 324867060, 363574364, 985611192, 22498876, 755016446, 492935019, 527946300, 320460997, 935785679, 758488455, 199701019, 77915813, 308455543, 236251175, 947560281, 708556440, 406803575, 454352738, 789472648, 292586956, 750116256, 898677387, 205949420, 526647521, 75933637, 608297472, 302793400, 328927558, 1068200280, 404239517, 696908165, 110847838, 268915722, 165705306, 540619955, 295923468, 618392977, 854667280, 642628432, 771360193, 966890582, 731270607, 517648024, 15296145, 432372171, 521934206, 796221848, 380515082, 683472883, 732235755, 698112187, 279527388, 285829558, 728464518, 588745894, 528598839, 171867936, 681933757, 308286639, 245149753, 837125541, 473986702, 1068167512, 605937776, 580998363, 46629150, 385096463, 678952510, 198009942, 840306876, 1008146803, 625885938, 421663090, 760998908, 526490704, 933677438, 1060931885, 183964220, 338868527, 709397631, 954298748, 362459080, 30540935, 291143664, 3603875, 691529662, 346887579, 561009639, 306570937, 562255471, 156646418, 734194987, 1023925644, 661361302, 333640104, 246917204, 840954609, 981240230, 928958642, 781083319, 753138466, 944224395, 251434258, 681273193, 788961872, 686729580, 865523251, 861158631, 566684746, 470439904, 850808050, 295363577, 399395359, 747969408, 355165683, 820384675, 975916165, 329931995, 158159758, 666677135, 693464135, 774014443, 108692441, 928544583, 68715746, 616304092, 520600183, 957325125, 220755660, 655040433, 940083578, 45366422, 521808687, 49913923, 178162405, 580511608, 376576035, 575673594, 749469733, 651206761, 234702980, 337189763, 345046599, 589898386, 127818101, 68069289, 180797035, 525249894, 808553252, 153972529, 768486752, 774871686, 374183179, 544730027, 693696426, 373816978, 845701583, 772846973, 562778801, 75568398, 470350806, 365334760, 914221276, 793664088, 130106098, 1005055752, 382541856, 717758, 347452070, 234817162, 797110410, 198360587, 150251629, 500649341, 277892687, 141130436, 85123839, 1065126865, 58484886, 713596669, 483518600, 714399654, 278656082, 375519632, 345572550, 460713279, 984918460, 862630062, 635157762, 542822007, 564542307, 757766694, 32877754, 907766041, 577314491, 673671448, 88240021, 952486897, 148459294, 134413295, 796678538, 850664513, 980314997, 705662612, 215099206, 449275360, 726024165, 884603299, 385516542, 454153759, 858770177, 282916534, 360683214, 455826007, 689185410, 402571150, 572386127, 926750119, 159644090, 79026140, 329814414, 21085286, 920504319, 368460208, 496073694, 452249418, 955253276, 570182635, 698285105, 183460127, 78754227, 788083809, 493420796, 800898568, 1050161065, 1046311496, 264513333, 5640287, 81719524, 297759540, 365393616, 393110940, 58879342, 606589010, 219830704, 176975562, 999862851, 398186006, 941751638, 819964638, 347022408, 740628489, 563625668, 291122646, 168989742, 376680178, 494918339, 626280033, 40456155, 811129242, 717783013, 551870974, 1009703935, 257291039, 215063069, 100178243, 170128444, 184714054, 69632900, 678598666, 240800719, 877271681, 132829274, 77631500, 302795292, 869202530, 630407353, 838734402, 930784759, 17484137, 320201267, 431991711, 189560096, 139273931, 4003892, 457421450, 629999890, 420342112, 602137874, 412249840, 547580519, 1005395337, 273250535, 73462221, 122555803, 609349807, 552618416, 363803482, 474100717, 409939131, 551932901, 322554753, 113427453, 528246165, 219909654, 1001623983, 255431545, 852240202, 206976458, 514697477, 42110469, 758514891, 289594219, 702452885, 181731948, 355195276, 210920637, 633063574, 549652295, 764343055, 613285423, 709598546, 603839723, 937477609, 682278239, 612212951, 352417204, 334787672, 169624117, 679741757, 575668800, 316209784, 1025215688, 805151304, 357206964, 731860153, 80749796, 654020565, 783633802, 106188775, 1054960049, 849308914, 238137414, 209299301, 4501838, 583660785, 452190980, 644485662, 641872127, 837603167, 378271891, 609625663, 568987666, 597924343, 48451826, 896985744, 269021319, 679367625, 1030118451, 710261587, 374989718, 249741049, 593663099, 875519131, 44658631, 1005225968, 736042206, 512119420, 122864209, 534372213, 226647560, 367058113, 931676839, 69848384, 937048398, 373363425, 641965447, 260712710, 387469087, 367983046, 506480874, 574957139, 776832219, 850422138, 571764175, 496658290, 912130355, 368254773, 93515237, 51432994, 116911455, 128834989, 90724145, 702980164, 707367717, 663044272, 564031626, 130400369, 46432174, 767562606, 374846415, 466883640, 640959249, 951965066, 837493178, 232556497, 343899349, 77254917, 331921900, 300250300, 117426606, 519604014, 713090756, 19673324, 6979383, 45696581, 800648671, 237533666, 309773518, 1005618023, 456812494, 971309806, 93968911, 647085131, 98151127, 666364110, 478254513, 100706564, 161031949, 1004460557, 89210076, 357390082, 886901595, 678824564, 175776411, 718356509, 1041830149, 816947743, 265206510, 481021485, 1065669283, 558004810, 821589808, 485831847, 1031651926, 749067096, 205102046, 683679789, 716472587, 868285393, 962823744, 271772753, 64614610, 566609013, 608001281, 1057528437, 52003707, 217233980, 828678961, 865992915, 299862607, 73114350, 421141202, 177338570, 695335113, 502443469, 187296000, 801586106, 428312977, 372793697, 633265554, 87420143, 706659148, 663038784, 407562085, 468695820, 1057801782, 837805014, 1008845457, 120906369, 94777486, 996354622, 79256886, 179932452, 745118903, 791400800, 90582695, 22461937, 400610702, 357449678, 755836762, 457601230, 432795574, 438656465, 835423366, 852556565, 381310500, 457501763, 1038611303, 208441096, 842419270, 1019827265, 834026838, 547017542, 462728055, 921025378, 1028491065, 441916298, 1071307886, 619006033, 173978621, 550809141, 425141251, 933621483, 888130464, 657124630, 387279696, 712163099, 792176382, 61275615, 352083218, 154282699, 849719208, 239551513, 974011339, 808420199, 428524597, 249864592, 673068955, 1070475017, 923140942, 844982694, 832573321, 878762081, 386360729, 26506475, 912107151, 705262609, 675280433, 296895738, 418696762, 933501746, 858988746, 1066402215, 1064225117, 788877724, 428103269, 62470353, 405581823, 249264659, 464332069, 597722360, 504043984, 1050584067, 928534956, 879553840, 716291512, 640368868, 205586197, 797766505, 194625147, 149044651, 255306878, 587602316, 365933668, 249826099, 493220446, 265201243, 532236178, 908957648, 473956534, 388315947, 956120223, 550098792, 65785385, 101514584, 729479344, 751739823, 148649058, 549617791, 517001958, 398202074, 142343432, 65053138, 76058291, 89755064, 905107170, 178704724, 824636830, 237240773, 656178152, 958268557, 272305390, 831282754, 1048459969, 383821201, 207487386, 207379926, 958074688, 866003530, 586576086, 519285787, 25685371, 331562233, 726306892, 621253333, 311183346, 369455427, 253385861, 722961966, 851550273, 860317553, 306260778, 741668527, 394891033, 301724058, 872298426, 842793815, 146229066, 794170643, 476957646, 536490606, 673265456, 563447828, 1010994478, 682896880, 1002152954, 52335499, 465681101, 268852333, 109581478, 20171145, 135101059, 658821000, 354928177, 401023714, 9760948, 149180494, 102493463, 17880853, 1047527727, 258204408, 847261330, 602653268, 126164259, 515274020, 66966974, 295757208, 688591580, 483213163, 355461567, 977186309, 1053419907, 472295782, 800967941, 165299676, 419427832, 401150314, 741985540, 766487537, 972050161, 935885178, 705216830, 503729896, 559643801, 356275089, 179985747, 684977820, 586350008, 895689407, 737061458, 685906916, 956549659, 242259824, 35192525, 220366192, 500483874, 1054308868, 289655052, 13570772, 159708425, 237441979, 644933511, 314976772, 987258683, 909774724, 97251667, 825683972, 670258090, 203280158, 376827184, 1016919425, 697758620, 235531138, 653197835, 244392742, 162119698, 1049747815, 1018769246, 741645845, 1034270983, 597179343, 273037183, 736581689, 636988622, 104196826, 230850315, 462551131, 17692653, 869122993, 972648992, 6466194, 618016658, 391179167, 920677599, 417592411, 847333365, 964765363, 151570146, 352048502, 976885547, 234418733, 450853424, 173893404, 677390589, 1038010758, 146653335, 899246623, 682958614, 494432590, 804268492, 377002175, 829386943, 461425603, 772477125, 173657227, 280080339, 1060713870, 739816567, 366768029, 475611047, 951488548, 404851966, 1010626233, 558473305, 909722082, 535514387, 337270237, 710108607, 1001104060, 13765044, 620279803, 699804889, 967511314, 682317756, 118286319, 701344470, 583188383, 464840785, 151245241, 598084874, 185332025, 146352415, 489537341, 545904178, 542363313, 917433777, 808910249, 229365564, 169750890, 563301646, 123157047, 726938152, 784590926, 1019823276, 431483075, 77808524, 1003377699, 44509343, 360949410, 726460826, 790403352, 199754733, 484344388, 290468467, 477756276, 796680610, 149665417, 155880982, 285069610, 271098216, 168792090, 472028968, 302936793, 766266902, 398354517, 516026437, 1053144643, 47827393, 1001186732, 541933388, 550578704, 694356952, 1071788009, 683958741, 749572859, 839555299, 978502462, 962641898, 361075298, 340893458, 887785456, 463435292, 991442442, 672803561, 246924317, 18063322, 233713088, 503434827, 624932448, 281547164, 281564979, 1060780520, 288112875, 238350704, 788116105, 303876227, 40076296, 384920533, 182900594, 951100279, 959551066, 635710393, 810848831, 732478155, 664917457, 917143266, 57442601, 521226323, 63745813, 439824710, 413100852, 421973153, 744676123, 643344659, 438298695, 758414293, 648687381, 57688008, 211773493, 834015560, 1020995819, 834767203, 530937319, 247625316, 582635245, 353274256, 982061204, 698337748, 174484377, 44169665, 232283540, 98956961, 378515065, 656382279, 756070530, 851958459, 375213613, 795947023, 933088075, 10963199, 419891698, 587260822, 1060502053, 140095426, 1019498450, 827881259, 212530959, 874082419, 698528146, 299066366, 806250776, 1043440762, 592084700, 604912747, 694909610, 558078513, 999575439, 788661489, 60994245, 1036383757, 240373489, 752787717, 645089343, 134182368, 349634841, 49849694, 973539164, 397936912, 544622190, 206423259, 448264993, 197307709, 109107602, 811106392, 258658932, 732883135, 161247010, 79560680, 537157063, 680161345, 16683844, 347585206, 151042084, 93007489, 724240439, 864917202, 147745684, 330927850, 727723197, 566512236, 460638870, 704820274, 784299438, 1061617728, 600721805, 420808884, 389486036, 975410656, 289910471, 303736937, 630712329, 444537304, 836223785, 517477261, 484277808, 613133139, 338992630, 688182482, 681933058, 948620262, 1037645699, 192834207, 502697744, 1022120235, 686458727, 582945491, 858996806, 2284003, 146875485, 9596089, 39075447, 1047936389, 409882640, 570078528, 442040619, 978353714, 328669102, 639371828, 183433692, 861483340, 1029422067, 557075930, 786167819, 290571934, 929568751, 288853016, 511737971, 500298243, 812328364, 711008110, 746068908, 574846024, 797286890, 757630969, 747704174, 452272089, 955044881, 599385144, 691726121, 578782909, 430271099, 460968873, 830729754, 540390613, 147145579, 559358130, 248857871, 618445965, 663620224, 1033502755, 705069457, 115759056, 579873072, 687744269, 770167095, 627511373, 911923192, 856635787, 247170029, 926838121, 140612996, 979105964, 1042951651, 569031714, 986178462, 520038338, 1036338234, 583544529, 258611419, 589932806, 989362768, 63870918, 770739986, 705368390, 399475217, 570604020, 590002634, 211024102, 134059090, 600015615, 596867495, 920650521, 227384724, 1022618081, 609242530, 910286676, 297143911, 312422563, 159117238, 229059430, 329935273, 1009934330, 332927899, 794787591, 534613620, 345519468, 177145061, 825904528, 1025783050, 579315001, 227034417, 695195023, 107992411, 721858413, 830601678, 1003340281, 83357980, 323374613, 473970887, 787896253, 285633405, 487871120, 590936501, 160741205, 254647013, 812774894, 145646595, 665305889, 418281828, 356966238, 381209179, 918934806, 501543588, 85705114, 822251885, 1009954395, 368683503, 799933536, 560495186, 77957971, 667117482, 409057258, 327933456, 179881619, 117853278, 751002312, 195719682, 796027307, 489542536, 931143124, 1001486711, 847885652, 703499966, 874685685, 15939056, 198125367, 467262615, 474059422, 313417017, 502951988, 975981245, 97110203, 957566165, 670074036, 885576986, 556804579, 861194923, 1043340102, 901383815, 234882984, 9120666, 595156719, 567080490, 1001353392, 783365337, 706460439, 131939714, 650067149, 395731101, 571157785, 652048647, 997605791, 352163913, 78290746, 821098874, 973785200, 935406898, 657080443, 119922901, 689565550, 569321835, 289335115, 995971658, 490860569, 45609259, 696028409, 931327832, 122789950, 1032802132, 975440428, 17279978, 111124728, 901292735, 216851744, 1022118171, 44843665, 731731517, 348871791, 330523476, 1017226196, 622615485, 197929165, 1023880036, 227726919, 764280515, 361733423, 2556819, 1015183638, 42639889, 327015970, 243620655, 513080519, 682376936, 866921664, 681286801, 471099552, 154950698, 889285077, 560417419, 663983002, 412521114, 65890014, 223127498, 633608892, 147817277, 665246988, 105978921, 219823950, 517688680, 1039664940, 729058463, 623350529, 469143360, 945442365, 736872994, 899308443, 487614587, 170596640, 807059161, 852553763, 1043360595, 19082203, 1012435190, 418484848, 957755891, 891787439, 429499069, 842176022, 648726631, 261665365, 919725887, 1021298789, 825771549, 1023872836, 512362528, 149955103, 699561366, 847342884, 934089985, 771234857, 284430902, 316975219, 642409525, 276375989, 630707384, 20213541, 714040397, 375129258, 534152115, 174642579, 685247596, 337300172, 81242199, 55339359, 822810129, 69395913, 59306296, 993701527, 522816966, 938203527, 70736886, 333578009, 564451937, 430039915, 976567697, 141340251, 367364502, 423721472, 330611267, 585233463, 739435869, 816865304, 285660528, 1004345728, 366098038, 2477516, 379215078, 643312670, 1059177343, 667939002, 680205159, 440078351, 534677038, 913994446, 125731496, 398045281, 514027442, 1039417417, 256890613, 592330817, 104439498, 257191262, 265932871, 607734044, 355293064, 689041781, 872724211, 488327948, 1042370799, 4315341, 278160889, 383085864, 179633224, 278999421, 216463634, 616712625, 534902847, 745247025, 402818333, 530402835, 891855381, 925903021, 657302138, 149134822, 566929639, 654675419, 613873945, 379077884, 162744705, 1007975571, 975595049, 103935553, 364153204, 270926707, 66287411, 543573939, 709755025, 41179642, 246482892, 949463334, 372187842, 589661140, 432443464, 741883602, 295788678, 458851941, 32297596, 273319802, 771438407, 178351091, 333425964, 331977283, 864105775, 32222354, 421068177, 1018650746, 65948142, 360466780, 239839415, 864949843, 521798106, 659566029, 534378139, 625928047, 1016570099, 263755960, 128826238, 931693159, 909956272, 314610948, 994609559, 907127691, 267832144, 545589332, 286689853, 206684309, 377052200, 127489192, 740824295, 982903488, 651546866, 986041074, 849694231, 932251376, 200918137, 293630592, 183863267, 500251449, 487368520, 826030184, 606931386, 209950833, 184845549, 374908607, 67603248, 663605958, 902945403, 836700699, 918589445, 517385418, 185448383, 678612397, 780388393, 1050543012, 662749641, 1009989447, 763596384, 424744884, 795052375, 583055513, 486041230, 700238793, 478776241, 906113705, 757695947, 937635251, 7541590, 682135696, 809824416, 4432532, 1034746732, 301368097, 789710709, 591129515, 156785377, 939054975, 382304678, 765110079, 833291645, 784689702, 141468257, 594930572, 1069215728, 1020133267, 877144037, 733576265, 19488356, 695223995, 100274670, 782943844, 544324954, 655661269, 106832221, 339201527, 211671803, 288050541, 577853449, 363003385, 14306998, 296357415, 487407376, 530196531, 175487311, 221661648, 744238634, 813169781, 974251539, 27668759, 746391920, 448100620, 273163099, 993780839, 1063646490, 241373725, 691167820, 725056118, 402640988, 623416298, 979254414, 983448433, 714286923, 1057846845, 364608006, 792361282, 123791590, 250283876, 121094919, 872936532, 648024188, 1011169923, 425870446, 25325317, 1040444869, 519198109, 612225758, 79488926, 424408644, 34977258, 1014490740, 189569867, 860138785, 578895937, 729238124, 313924894, 131366146, 278744080, 26385986, 434334482, 750508, 486049471, 84684684, 849981026, 347908337, 531550936, 186476881, 1048327981, 729575090, 311978080, 884292575, 81209335, 255144267, 880322366, 292305885, 1019792302, 576074406, 274617419, 581659691, 304650060, 42084514, 853113587, 96791914, 617659456, 50294921, 1072576841, 499904634, 946035750, 322278412, 135718522, 148192813, 240772610, 48890818, 406127137, 450132505, 456606444, 264427947, 42557310, 654998793, 444796121, 915050169, 10877547, 792528470, 51003660, 376833429, 446721993, 561846368, 174583497, 446609662, 792487063, 90791407, 105071148, 1013320421, 144799773, 565720684, 222170319, 476574631, 1025647271, 855858904, 147915168, 211732619, 403478503, 985854460, 976806455, 882370667, 482570764, 894129450, 436357167, 174275793, 374654038, 1055075089, 15382571, 24271253, 863695138, 904906110, 245211410, 528309479, 445565105, 735484583, 976250729, 557813855, 288099722, 983902209, 526195978, 667260078, 70904985, 295469432, 894363684, 745106747, 1009608396, 979482319, 604752850, 50363247, 693862920, 709337114, 512761081, 1034616961, 806952239, 820669615, 146265127, 51909503, 685799303, 779884320, 511218148, 76826378, 971244839, 1000659660, 562767338, 639419376, 326866224, 863418760, 274064768, 4997549, 506986570, 618119102, 245381152, 930003519, 44593454, 46728635, 764271556, 330913211, 588863665, 1066564076, 976381535, 1060119029, 233738453, 1031991082, 829674738, 141395756, 894181902, 653394556, 883436917, 495437933, 810681130, 414980266, 842554442, 7742070, 817864346, 64073802, 841585335, 169412924, 772583775, 677051003, 221313951, 669381356, 817523817, 733574704, 1056728757, 988596548, 899330174, 558638815, 503352734, 860252943, 737613610, 659559017, 638056773, 484641952, 1062135882, 75162922, 756017634, 124590491, 344376532, 44854361, 123693486, 405055686, 8400563, 56914667, 87693798, 911702731, 153547899, 410312418, 669965817, 916156430, 983074217, 867474974, 376565963, 471434456, 245367414, 626110507, 431494188, 624980442, 640961222, 984264689, 419976045, 375442920, 1001089752, 941524048, 124315241, 862461998, 352405804, 765134158, 842283893, 36331735, 221167523, 589244391, 798311102, 472865886, 378449229, 966176722, 35921816, 515286784, 807154476, 273632127, 467923294, 883258233, 902854382, 753473440, 725512515, 1004270140, 615600911, 898207913, 953921625, 478858279, 892383878, 161421446, 649835509, 38901044, 985917401, 201355823, 147098373, 430358609, 715264398, 628499487, 1049442191, 857376744, 985485821, 272656715, 479621525, 876789568, 339274212, 1013343941, 194730793, 162125851, 367302038, 258230212, 356658728, 624508516, 826822341, 810118446, 659292650, 436794590, 429970788, 913669268, 93785339, 47043019, 406351427, 372961299, 864598269, 654281605, 118097477, 742616720, 273120112, 963739179, 1063660843, 961743991, 654209871, 326415485, 526041960, 223611303, 693069171, 555620596, 1023522050, 125711110, 223585975, 378742685, 983122534, 377728956, 338857169, 705160876, 219341325, 524501490, 65101995, 651581402, 355570068, 150902136, 758951204, 152526520, 804918815, 976763556, 291861141, 833145219, 303983635, 982224840, 752234930, 664820239, 761924065, 17771202, 992476093, 439964863, 993672372, 336570745, 209085903, 552935647, 418411993, 936089050, 517660541, 566880550, 214514048, 982710540, 867623592, 641307055, 794492861, 900338932, 531657860, 633377090, 260870126, 830695068, 46963889, 394910701, 139645831, 953816760, 1071586112, 1055360761, 113204434, 864482246, 535478965, 952346516, 373235931, 781228923, 958739473, 196341819, 531856251, 792772507, 575772236, 763167794, 15067274, 21589148, 214191032, 411700799, 966070844, 54565425, 772684763, 313807045, 942935562, 329641389, 862336265, 495951173, 975521409, 779788055, 149401914, 968342671, 351590529, 384112426, 187632074, 899015808, 337228978, 701963137, 112141473, 815405885, 73073087, 129414418, 1052081052, 438951440, 167331809, 93423524, 814055412, 6130180, 267333430, 782740927, 195254989, 45480243, 310634356, 796899520, 852052790, 667628569, 1003420139, 117889208, 361805584, 649086034, 913812399, 1037152509, 217244652, 549071806, 643238236, 171430530, 764858541, 1035471439, 20593045, 392885960, 597113143, 38683558, 255351114, 408714124, 599536753, 35662933, 913933815, 939639517, 333459352, 202822146, 421310809, 375922343, 874569820, 909020426, 854063315, 369518832, 912166350, 233140997, 223328423, 265676720, 680061048, 61251230, 656339023, 979671910, 6378234, 387872070, 661568096, 122850199, 985327699, 1016908340, 832398849, 746833789, 861134252, 1021456431, 742313245, 954340684, 42939520, 126237077, 915713633, 706246748, 331487096, 336520660, 533792765, 235464454, 999427995, 181807438, 551828221, 609061130, 716914731, 737746128, 1022308685, 294760299, 771282445, 960655457, 624591635, 716967853, 697500127, 429491253, 34245983, 567675172, 929892566, 242439101, 607912520, 669505577, 388352073, 792791014, 87106138, 35254800, 128887141, 422005737, 439293022, 111968496, 896865709, 615287171, 935425224, 190959775, 427834085, 192053361, 1020956715, 934659241, 349809807, 217366114, 920164517, 93263517, 18054268, 761353421, 555104592, 556517680, 438610251, 388019876, 969971471, 767304488, 379227472, 125866082, 902264519, 965499529, 351316035, 227333720, 574904494, 640588776, 308125080, 17523635, 856294995, 645922520, 65398573, 929052112, 516694495, 553387917, 794587985, 70733509, 181847057, 205468174, 574080799, 501949773, 211787133, 840095367, 603665441, 813999836, 560353330, 315225026, 1019037711, 88265807, 278922586, 866475373, 191001607, 366729580, 88459327, 159571482, 318093422, 978640441, 964323327, 548210692, 569692378, 214832966, 568911476, 897150231, 629554409, 614425009, 543841320, 40804523, 539306672, 882171281, 215943326, 602155130, 924236147, 797568935, 947217968, 51790686, 235846378, 945649479, 314235307, 495485333, 519788028, 595380320, 551913708, 723958093, 714753918, 577427169, 294794973, 109554131, 977078842, 1043811277, 335796830, 480586598, 817438145, 118904785, 606672567, 202665759, 123580183, 495877378, 216270814, 197819674, 239507450, 563937885, 5793599, 284912303, 712278979, 668095908, 353787645, 656334776, 661300231, 113421691, 682480956, 47573162, 733951878, 187014029, 312347933, 216175719, 132315909, 140610819, 1026333052, 948491810, 575680174, 519742801, 1073021859, 405733460, 978494647, 991057024, 348472403, 1052620418, 398877777, 529117041, 286865628, 1049577091, 734506190, 755286995, 438918265, 465770467, 780986158, 798453266, 92763753, 154886586, 406144438, 38020883, 94336080, 806556222, 525183968, 996979575, 143671141, 1006462331, 819813824, 881368480, 434371765, 445978605, 588246428, 132235651, 640912621, 811285271, 565720057, 97796419, 92031277, 732370045, 661184551, 58267610, 295390033, 1051548180, 841920881, 688254906, 517268981, 492095735, 748693923, 107582344, 52567307, 696765703, 812386044, 372489120, 463239084, 123359713, 1015741498, 769696734, 238489510, 442396882, 738317104, 674141012, 952505247, 1049067219, 841703557, 765629245, 552476261, 571811015, 436541248, 974569166, 380079319, 475657061, 198161067, 464455899, 967469764, 548216267, 118728620, 314263365, 680045777, 20899488, 338478000, 454503725, 469667350, 222678120, 403133909, 681295418, 527573258, 225067176, 117495644, 882006513, 254445861, 898002830, 883014863, 200336005, 736708377, 476640252, 833990941, 194075310, 888201888, 180575813, 789596905, 350130556, 903576543, 874933757, 744596595, 270214731, 545545621, 699760545, 381453151, 459415299, 181353797, 772016391, 746346354, 506949771, 1014695489, 443787014, 1837729, 796235800, 358010712, 149579400, 493313888, 1003115090, 950723575, 899204629, 32509458, 396353007, 143138277, 777351525, 855365072, 979147275, 844918019, 682682584, 471828599, 857249421, 933763617, 425806207, 325570397, 269999466, 317832760, 953908869, 586245719, 915079099, 60185786, 971984266, 394367112, 223403501, 308915650, 879020115, 112596500, 150760215, 589686271, 1010078929, 666161934, 803929949, 903416084, 606243269, 174578520, 1063843045, 238758576, 108878414, 913880158, 195774722, 867727042, 773839230, 647147084, 220643133, 291476596, 978001095, 768910409, 993921890, 87541043, 455197817, 921204306, 101263585, 626734747, 747923133, 496913748, 342402051, 917764523, 176776963, 686343370, 733080009, 81432673, 564534408, 745799309, 990103289, 51647685, 198656364, 990927862, 912914133, 775861397, 275563752, 180601727, 8909525, 1053117418, 398052921, 413305834, 752247619, 181581703, 59063150, 38164570, 102603387, 318041192, 639114448, 1064364913, 959422298, 976563412, 437064071, 955893165, 424301751, 716521133, 876212661, 296087821, 626346080, 358368860, 670774550, 596861328, 66956844, 233277695, 1038052471, 957791106, 897992707, 402723745, 244391832, 37736512, 975565531, 5895155, 699639818, 257354499, 764648363, 783845463, 912698883, 498510594, 6393777, 779368724, 993780231, 988880374, 477429770, 184744250, 752173801, 823050001, 1059615128, 307715309, 886367204, 580003410, 286411671, 528847200, 558623391, 302607702, 930913256, 287386500, 406617124, 463898848, 833733792, 762065443, 439888525, 585368266, 471743498, 208803595, 466220746, 88763929, 799724895, 176430233, 812291948, 115292841, 989289459, 86690101, 267230677, 902024313, 744277062, 461617022, 988474602, 386900224, 168783879, 414546677, 238316744, 669992403, 723971561, 505929956, 278188839, 824171035, 839683505, 322173713, 486963282, 189102516, 1068708387, 25386624, 355646923, 547162102, 142964323, 1020682286, 726400375, 645610980, 822183572, 102460495, 52706669, 423288709, 568167265, 810701712, 123246769, 615608681, 302639279, 208441430, 307020478, 837086443, 28562624, 54200910, 1061430612, 806184579, 537323082, 445620060, 12093439, 482101920, 434919195, 821728144, 302016383, 81745796, 721265995, 999761220, 585064871, 15470919, 559874283, 703440853, 353547738, 228214706, 71261225, 141835468, 529549699, 369212915, 1013231174, 587315976, 678773074, 501518148, 716271798, 636436570, 735202421, 379920261, 662530131, 39960551, 308485640, 884694093, 379187261, 94579168, 859841611, 683618019, 431132756, 1024312904, 895576881, 890706324, 105293759, 30294166, 755935577, 433676320, 212877423, 576392190, 227675184, 580553571, 743517110, 310360507, 991228194, 971578638, 1016065440, 909856990, 935098096, 53923380, 31209537, 707747444, 35137952, 444850957, 811647143, 689276672, 718007811, 171457187, 964358115, 703049494, 842565823, 329222716, 1023778567, 18702798, 689609058, 431506608, 230118457, 293272157, 624568782, 178756496, 707141720, 907925408, 888642433, 392788576, 1049952317, 284460084, 679931853, 953006797, 762619439, 1072350926, 700830831, 377989879, 106697941, 887009702, 480074431, 628177937, 879725380, 406223149, 956322853, 898940642, 363931448, 487172098, 134566278, 886084146, 147182857, 871687610, 810095704, 123536990, 799491802, 743210219, 73489568, 129190878, 108197202, 884995839, 664270908, 859291012, 414384285, 636184320, 30908831, 1004380312, 397459368, 846953174, 706912583, 423580452, 808780814, 615371253, 1028259107, 792776155, 953406095, 660893957, 376062746, 316385252, 297156501, 21179314, 258408298, 403277857, 181890041, 899129109, 252181691, 618661757, 840812753, 385128684, 405189014, 512064502, 211893781, 56999116, 661491525, 673863118, 1057867979, 179025079, 662339603, 584069810, 945918739, 858366033, 523137133, 270856815, 61341877, 733792092, 542194205, 627341911, 194001866, 700772383, 483923412, 494707449, 159274315, 171765857, 77824131, 258604707, 1069304785, 157406154, 855950211, 259480945, 652273369, 288955403, 198108096, 518495417, 175063225, 753346247, 684243856, 787576295, 32017502, 951598512, 401389265, 1049428992, 187094688, 558439158, 460937414, 844366969, 79061926, 829908503, 68696347, 70101541, 143224217, 546557390, 650675197, 833328252, 834380395, 996250926, 706671788, 253853778, 430898026, 916918253, 1062321609, 367327327, 509637607, 705717640, 76053294, 852831514, 770369216, 675525448, 415377492, 386111427, 208257680, 916108577, 648759876, 1038692772, 939691496, 421677673, 828316496, 996122214, 113029746, 354421770, 331291615, 330679885, 776706760, 488216066, 882496394, 138539109, 940053592, 1955695, 728090482, 446875317, 788413224, 317914, 905499657, 547812608, 143067711, 583098504, 749360578, 907426425, 179695376, 682595901, 474197525, 1068550414, 130364579, 525587309, 644880213, 153659956, 530612215, 177857222, 132428732, 559517909, 480371953, 565737340, 557828482, 179995273, 728740140, 315665958, 491251972, 853773152, 937858143, 485717879, 597598479, 853766192, 727130211, 442111475, 951393653, 364397419, 1036797178, 297164236, 113361072, 747855202, 268833199, 602213748, 511378005, 1064202817, 730780204, 1036305888, 229347195, 838021620, 125136513, 75515349, 789646836, 291250714, 464906727, 22123394, 415144373, 583676087, 145729668, 28882953, 357925899, 962989966, 1068234188, 190763548, 795297447, 837833820, 373391997, 707264164, 984079793, 786802529, 745538683, 786282009, 370126926, 73840912, 828231593, 644968968, 6726256, 215587736, 398355849, 222597835, 253246945, 39231476, 909369844, 847690997, 673639689, 633641544, 135228813, 306708033, 987997848, 589969307, 996113784, 54013049, 562431463, 122115201, 1013406840, 976412389, 668779269, 76381931, 324218875, 1004602829, 529064740, 193883346, 68817975, 53051401, 1024793526, 1040850125, 1043418793, 101164843, 837104921, 192260715, 1011727528, 932455179, 866450504, 527808313, 786417978, 82740088, 384744638, 175185544, 469468956, 677748358, 295203451, 266171765, 839668449, 528814490, 531123037, 103662460, 231046816, 564680519, 1057228214, 558668028, 270593025, 409140026, 1072848837, 597276274, 534722360, 310320410, 964689289, 899068540, 1070103516, 673093292, 638364826, 1021325249, 928615544, 377660704, 826484753, 363283920, 363387697, 1038773140, 466038308, 341377224, 51057952, 647363139, 603980625, 669987539, 1027239732, 161608879, 304276448, 716193593, 666788566, 250285845, 906414532, 178228148, 608712433, 971439000, 522151482, 61037230, 174086182, 117796102, 1023589020, 457771970, 813396188, 210882460, 431922230, 339052355, 1068003445, 59947271, 1046708986, 1025253446, 988755257, 920967352, 329941417, 38506741, 433913128, 102300666, 744944427, 660116029, 143040386, 1022609780, 894447404, 701819226, 1028554694, 1061565312, 1022988181, 851033624, 447676929, 1054504642, 553577177, 614629001, 814113657, 1051617263, 269448792, 435967476, 509858323, 731040969, 733482832, 851026630, 512080566, 776537799, 265746379, 182178226, 744757298, 964242494, 842770126, 590083107, 579396980, 193469818, 586596299, 303431175, 44243611, 5678487, 109572512, 837051775, 121044926, 949713206, 976849500, 612465960, 520055440, 583964638, 1070800307, 574599321, 614454000, 399149598, 182116143, 957070064, 141449534, 704200374, 720696718, 859625989, 471539981, 227825277, 39457169, 136986153, 503201775, 481156401, 451347424, 571382944, 272740709, 263399355, 485556825, 774375239, 427495950, 361726499, 365602873, 135237631, 599821971, 64991910, 321588936, 753325518, 545130035, 87598516, 36506071, 1057467602, 2379281, 90254602, 364205318, 838717468, 972810489, 172993317, 129186392, 44353217, 1001015018, 1072275481, 56344603, 670530385, 1067382723, 1033230146, 309793819, 1030107455, 225607755, 531496801, 1070611791, 789616343, 186223972, 141881341, 281507980, 645804852, 1011288101, 638073485, 435586690, 1039183809, 368611654, 967143754, 111089033, 866386912, 959267125, 730762631, 263769182, 1061426270, 352689179, 338550338, 874462595, 154877016, 232513709, 54414218, 826780228, 754974267, 139151919, 944214269, 195615807, 358613357, 965586752, 755739165, 151371447, 1009969650, 1073541744, 410252501, 358414290, 960435067, 168507826, 563185340, 415183551, 405969729, 732817952, 958782694, 924401334, 160632722, 496380328, 604274707, 631598656, 320341636, 357072503, 546872335, 1051690082, 792851834, 794686057, 561191796, 363242085, 395942766, 12056887, 984621247, 152239502, 125884965, 635050779, 621666892, 1069370724, 197232925, 1044069077, 501273856, 315598009, 271165706, 459446074, 784229981, 170013367, 569406833, 234935493, 1059979187, 431020133, 364832341, 386622737, 869656484, 1068429628, 921340860, 704370421, 272943522, 564587263, 81071571, 22368825, 497870710, 605253118, 225432998, 489078126, 730548845, 225994958, 200968037, 179309206, 856087255, 492577796, 888231800, 857321521, 929763541, 691380557, 693796146, 758202597, 850834606, 672126476, 1001193990, 684228978, 769890330, 827223300, 1031024757, 462167178, 21238657, 779667293, 457413822, 508722246, 113275336, 960437203, 211309650, 1046117223, 500509489, 118918082, 36278221, 801289687, 142397523, 250938869, 431118972, 535570497, 61183729, 266857088, 937575296, 449599861, 317163230, 45087772, 625913656, 486300502, 1068176748, 427121351, 560690215, 593982336, 667710425, 433428583, 874606881, 105382931, 395852806, 870490253, 1068050511, 787101918, 946199917, 103232447, 147652382, 501539610, 659118802, 613236050, 305527017, 204678883, 429662578, 762282743, 135787605, 534951734, 612642430, 1063998302, 518084187, 683657104, 506809395, 131487012, 222762427, 846246588, 166066987, 12404757, 26768050, 900360552, 440926926, 173450227, 42452229, 262306056, 826253493, 473293843, 1007721394, 951326655, 549357775, 853080377, 543265397, 77319796, 970514514, 554228268, 701026368, 79930599, 453324222, 39575701, 716454419, 187062994, 314849806, 295862708, 989687120, 180021755, 219326156, 551251542, 448743223, 1028032012, 1049260313, 294079747, 868577379, 193995104, 840793567, 478167938, 185046430, 777929486, 394208488, 712300059, 523286857, 984365319, 250936471, 67301288, 932072872, 90261437, 99360337, 437413777, 785241712, 157719134, 48127251, 869550377, 61491432, 899158451, 17081937, 393240434, 132858374, 853114576, 267943349, 736481025, 27486621, 347093779, 1018295084, 15746923, 233681033, 719098336, 978434239, 257312097, 89031174, 63650379, 737597341, 35366965, 1009924528, 180291895, 636699559, 843391567, 317566985, 894572216, 1016527905, 539207298, 886972953, 550605129, 99595471, 395750789, 48602226, 292824161, 194975287, 210079332, 993619300, 1026541047, 262712233, 1035591390, 188956306, 995228218, 387659382, 797055554, 905980810, 380943423, 156946766, 352640965, 623608680, 474297669, 553099254, 169071982, 1065652075, 27257367, 892893169, 421304518, 655667334, 348004320, 120765826, 661574670, 983100498, 498946678, 353217239, 971606951, 366569568, 114769627, 246597832, 1007603633, 725010369, 343555391, 363683827, 461503845, 72882084, 340870763, 935375739, 199077246, 108137049, 933469830, 110422014, 677931850, 928161812, 970124442, 294274550, 736639939, 567100110, 1026959047, 269611225, 308062654, 645203412, 886945305, 798635688, 859911268, 977380414, 505111471, 1038852315, 762967686, 151863442, 1053975674, 277985320, 481044406, 600134200, 218828304, 231338121, 866343092, 387988572, 816618183, 894743934, 565370568, 79231868, 802002770, 183397893, 359253064, 693343687, 357149188, 816534602, 646701858, 441046561, 435419265, 807712196, 417094923, 443913754, 978114502, 1033994986, 318940797, 745490333, 191674879, 887367821, 179480993, 672289637, 1006921977, 286613050, 822722269, 12739459, 62342751, 120738451, 64206142, 1073268110, 367663277, 180371384, 165520888, 234258975, 824827749, 384126997, 147258077, 477127924, 231212960, 7920310, 140991843, 489758205, 684063139, 14194027, 356543109, 204948400, 896448297, 957680048, 625007336, 246247795, 823823147, 739910327, 231626012, 836076066, 508373104, 701706255, 285837674, 256993218, 1024141469, 827442114, 68557336, 972052828, 163369654, 923295823, 630063240, 190497282, 177595122, 351647768, 365280552, 278682852, 544142568, 512826605, 621132240, 177403369, 522844211, 129309542, 661535648, 342160223, 753300213, 538235666, 348259153, 78713127, 37617358, 152819037, 545655595, 857291858, 239807162, 94731617, 501287826, 168390549, 997110629, 350971561, 954961303, 862152484, 1049302305, 941947879, 917615641, 573410378, 555549462, 151401344, 28429164, 288519101, 562914149, 447648989, 128595075, 191510720, 493966697, 205861751, 853172544, 59415992, 737004406, 848147507, 248396528, 160323010, 715601649, 435732844, 71336219, 808548197, 1040002265, 749003820, 529288997, 1030631253, 192809804, 787399844, 960821971, 402492495, 1002152402, 704553261, 427996671, 197591207, 577551621, 217806414, 78594199, 903049454, 631579543, 1026933692, 844414461, 28389050, 27315862, 60397956, 472445522, 877382649, 149432295, 973112842, 511902637, 509169571, 516775002, 409383502, 269783781, 99847961, 103873470, 375639886, 807999180, 1031922104, 190201470, 178221313, 352231115, 817642522, 441592271, 973258481, 383148409, 551068836, 430180262, 42869959, 12634644, 267234682, 500847728, 3429257, 537281211, 177394679, 108584805, 206210418, 911498313, 626057167, 372016632, 343935279, 688410748, 589614708, 714646400, 927114808, 161165317, 85595037, 944082754, 1064997895, 414685601, 906731482, 1054549327, 842599244, 950658257, 930132060, 526805798, 851799557, 1029772485, 618136162, 947551168, 11949740, 982208416, 646241298, 974945593, 1035495502, 440473784, 627196373, 868678943, 206146575, 280702243, 260785356, 542384814, 29750369, 511873152, 679787902, 868347107, 1047370924, 447545752, 359643460, 348099392, 84324062, 240730611, 1042873076, 85690304, 159810933, 405807752, 288048528, 1016195095, 954376787, 663764965, 831412703, 334061080, 212481213, 154828333, 330262948, 918578150, 13439160, 176336793, 688518283, 994374040, 1056859700, 593818935, 145882306, 708190265, 104743846, 36619199, 207060899, 100248736, 593603656, 607253282, 909094718, 344659044, 663159754, 64122645, 774885678, 707909844, 713753380, 252785897, 987068147, 799033219, 39018852, 1025593428, 182113006, 851123179, 888426347, 414645318, 832685682, 19698873, 589627019, 358012505, 710901465, 981109764, 924319853, 16792773, 707894320, 1056193717, 1025826919, 176316401, 572001152, 326451254, 657639447, 169220920, 182798005, 967547872, 917445472, 656793500, 55407357, 442125039, 105528621, 328807084, 1004216608, 667256957, 7516086, 126925295, 873576759, 734009740, 905371649, 224497733, 165781259, 696460124, 450401754, 23254678, 67776736, 208288747, 731688844, 874379910, 959593435, 1036389019, 48426494, 523424618, 248067050, 944661557, 618075163, 655530922, 305937246, 782936015, 920929549, 255399737, 313381930, 810717195, 879809896, 262502894, 762047152, 54605674, 914242099, 376095980, 627665343, 23577417, 950633811, 241482871, 205339011, 173373675, 255233588, 899725484, 400789961, 685716181, 898648614, 789943755, 697195337, 111942856, 750655062, 83095308, 12605695, 1056358705, 564736106, 462368393, 978528483, 50771347, 313994675, 723521270, 423332341, 600446548, 340541715, 434419823, 656289930, 756579054, 655903595, 18341851, 177599222, 11474167, 59494525, 705222726, 64997170, 53183143, 178663474, 867184126, 429189505, 448652194, 87038406, 789341771, 571610034, 136109917, 885416730, 795116564, 238535357, 848980979, 175452414, 631929622, 297938333, 572617188, 678439456, 503578081, 289952784, 11156406, 97327294, 325698436, 225255990, 893296779, 244874382, 898289323, 375441275, 1023646793, 494482656, 488040835, 1051467626, 670672484, 933987951, 518980576, 298912746, 864675793, 823991954, 1038540411, 688911325, 416273896, 496496784, 79055910, 516493545, 997158232, 843673545, 544033184, 126100930, 358425942, 1002634500, 17464798, 731333472, 256667777, 660037729, 106389506, 742886661, 491990040, 115749269, 41170920, 621021673, 261973347, 42186732, 229652488, 469757974, 750860855, 490132744, 839236439, 1038900309, 309391202, 272219180, 919412149, 529187593, 231878508, 866842446, 43223952, 689781650, 160643391, 373446016, 988227412, 573543349, 319201535, 79414718, 552525452, 838685634, 654392817, 571015081, 950325245, 107636469, 30719246, 1035833762, 618332104, 712303988, 745475602, 989629984, 524762471, 272725038, 216856961, 384857202, 976323970, 279187430, 1051773398, 353714718, 21902250, 5527251, 726919826, 243618424, 923410689, 568135448, 27584090, 50661786, 421242197, 299316570, 236802809, 535707288, 1051571723, 79455747, 1013770636, 498739877, 96690185, 1002493219, 211280973, 138794520, 915866177, 1051394445, 664439684, 931482390, 1042941039, 504762532, 704232524, 62751770, 34102122, 586303962, 203418032, 1046683142, 71942703, 12493376, 168119645, 984550412, 1024252082, 302199167, 241860504, 401998675, 300417273, 420587886, 892101370, 890305765, 442424514, 580272605, 192400068, 701456216, 16628521, 107490586, 903716090, 958507549, 690690602, 1031343998, 1005436247, 930599887, 127368319, 1065397250, 987910746, 147773176, 971051278, 281175507, 1027988566, 663426291, 882895240, 37090712, 373898045, 643030061, 1038840639, 934269815, 867627197, 322456601, 70420971, 277442118, 380659184, 631522171, 3455656, 761232722, 1015920922, 50321230, 715323227, 375205382, 733053877, 163646763, 1042961894, 688573467, 643188469, 231671331, 60293399, 699122004, 331945734, 582611332, 742268531, 900204511, 161650859, 154230697, 736952249, 65592640, 870591256, 282743044, 37051786, 952503595, 706560905, 426062293, 212479190, 76008745, 347759344, 349980685, 826992920, 293765350, 646107606, 470514301, 599459065, 868859072, 59675663, 468481430, 892628242, 1052873033, 1000130985, 198766610, 1034630015, 1034019192, 160229005, 147462520, 176796664, 237237720, 420184044, 1034669516, 340659420, 1057567803, 557337860, 827805431, 4891845, 1052940668, 766676120, 757565372, 942144203, 969001728, 786649440, 524255666, 763062311, 74097569, 235987547, 958632812, 30413858, 1001239111, 886948881, 1065316701, 918298200, 311591901, 915362911, 500654191, 301629438, 689332414, 933003738, 405355443, 750307830, 678744530, 912730619, 436214839, 841192196, 409222067, 76816047, 860163391, 933262455, 406778944, 185537619, 283131272, 159806946, 989858235, 597672435, 745996421, 854257964, 11676290, 796523367, 851534347, 1024394942, 851441644, 357739249, 805423004, 295851808, 245476590, 938774924, 543636467, 588799604, 367467827, 479866003, 887315435, 927545390, 583683592, 354038565, 605095689, 853805962, 299621610, 990555744, 1006682801, 157485966, 80615952, 732571925, 166678348, 717885177, 191629677, 859143585, 488683530, 6580579, 770274874, 460792450, 58875920, 421036694, 231310989, 920788651, 597396335, 84699675, 493574949, 267631301, 502720862, 642560670, 78509495, 192312861, 1019446457, 735365437, 852888137, 555491979, 654997572, 707580848, 885314958, 722387564, 314565713, 1019001269, 446049539, 35648891, 979090898, 710061403, 184786576, 461374675, 526185231, 973139963, 896146710, 1019030313, 576988082, 806957170, 185956237, 183092889, 15355885, 664593452, 174035463, 465055497, 770104903, 817109022, 141331, 901213812, 231811611, 215074628, 809195850, 316248097, 362768842, 758861928, 4929410, 897267945, 648956341, 46238187, 554596526, 609171811, 1033155101, 709837706, 623411679, 773098790, 632075065, 501298146, 185692046, 475280869, 400974139, 459413365, 293290007, 956987740, 12837892, 728681772, 608441800, 986808985, 618092991, 633250522, 135954231, 177285298, 425191184, 489154513, 1025811330, 228914605, 172689561, 859455871, 992636876, 491112113, 165161489, 878555551, 606389216, 524743071, 945019156, 1012558530, 604322109, 467518396, 459115002, 788549643, 119424259, 232217004, 281726320, 937919184, 957383026, 926329649, 496139132, 134326675, 410395829, 780099885, 440392109, 351972278, 756624308, 705467522, 86563951, 1023819637, 298904791, 558444576, 998863037, 854974622, 649867710, 787272632, 1010289167, 708965124, 663195089, 358697108, 509417316, 201753421, 982303846, 257806800, 686316879, 300123339, 800132441, 518949150, 958542437, 329095913, 356900846, 406071708, 848601571, 1050619477, 986455312, 961751544, 565053506, 1001268744, 162823473, 128312545, 628121101, 808397539, 7127684, 576150318, 76155069, 953562661, 623349698, 298074618, 132344352, 678355192, 766439796, 370114250, 98675452, 276221653, 431560129, 688705937, 606188671, 500023622, 483266256, 622594700, 791592617, 584590848, 394421861, 174684259, 1067266318, 298416367, 278642281, 345646715, 531679355, 983401307, 747359429, 765312082, 121034164, 862095779, 201256401, 764192736, 971671518, 495233823, 468047731, 819925819, 296857976, 790875727, 13536943, 863749820, 709101568, 226843673, 456053573, 688351663, 696732889, 942917601, 68645174, 599295753, 256862570, 77446213, 242930548, 827885302, 713663, 922547022, 152701471, 925045151, 765197559, 50294491, 725602635, 204626433, 602704857, 849719285, 849629877, 793484645, 374985455, 1047953362, 650846931, 1049964638, 10749358, 29404935, 790715272, 249650162, 866501501, 670152121, 51168520, 290902828, 648439210, 385740914, 18308508, 731648167, 739401426, 183605559, 176651284, 897618846, 429931043, 207603242, 597949625, 156734981, 734940885, 100087651, 927088919, 739028913, 836100541, 367530309, 353140784, 150205619, 49135284, 901337942, 724402539, 12679647, 336524821, 386909400, 147621967, 56263237, 508523847, 790056445, 644891090, 952737451, 97622766, 306721712, 950682502, 235830194, 381141288, 729838184, 700324155, 512662254, 489764334, 95982304, 4994761, 877106612, 488472899, 1051973038, 505440218, 566704782, 552690545, 475751513, 727560894, 1058743854, 855417402, 205301909, 1045799604, 696724426, 306914749, 791320985, 186021103, 231723818, 23386876, 140105880, 793914731, 993976660, 1072488713, 984437558, 676231266, 1010227715, 894599478, 894397089, 941608874, 771073584, 346196452, 65731700, 34664427, 196150938, 949081763, 473545169, 632852353, 233458469, 900539387, 880483095, 938514613, 405220182, 554938459, 320374399, 799640382, 633957472, 265023952, 753822363, 243703377, 977921471, 524619365, 815751113, 51096694, 1037884597, 430654442, 179040140, 998101967, 896217739, 251691661, 426007366, 275410636, 757405354, 257374460, 1058132212, 272819247, 167758129, 288444500, 908811393, 1038959462, 171105246, 432063894, 518235340, 796722954, 93977114, 1061081763, 119779606, 506482609, 872713741, 370172547, 139811921, 261417971, 58066257, 685507556, 358958095, 111086377, 466018042, 323472113, 706508551, 291774539, 365120090, 229242768, 905574567, 672488910, 258515532, 103666774, 880636894, 36447395, 545615226, 916617917, 302909313, 569549135, 856411682, 891382592, 461302934, 988019970, 168398630, 938658120, 308568464, 504250129, 314255050, 611130101, 533714372, 1034105535, 857446033, 619477514, 803518805, 423867853, 97469679, 781602187, 608491640, 1052671510, 124245157, 417158809, 642590643, 179852375, 108346207, 246062618, 438817988, 78229000, 458185645, 895465210, 249375435, 851798091, 1040356469, 374344636, 211353271, 47665875, 426129052, 181979624, 264634184, 745257637, 170683243, 393208306, 704633364, 724629236, 895714718, 511867347, 31165425, 817117473, 1020894371, 73928217, 766177110, 660476387, 652296242, 528595711, 273451232, 550669546, 1052124513, 608510180, 106165265, 639140243, 213448327, 1046552555, 467528510, 87606, 499987430, 77737060, 64774753, 755834223, 928848221, 458416516, 443069637, 445460558, 1060373872, 812003752, 142113462, 748366651, 634932061, 280112415, 534131632, 6878989, 443152000, 1008104906, 183435811, 921698013, 433326875, 559074785, 932598236, 98529421, 26923010, 203830262, 1046052427, 234261037, 17385613, 677421126, 861786433, 59833484, 367620457, 251770102, 602938758, 267301503, 778789009, 670014823, 765249764, 546289682, 53364459, 959381157, 632299891, 462351452, 407761658, 919860926, 779928321, 55266596, 625519878, 119383192, 826705529, 895315442, 993406797, 256611591, 615908489, 73697185, 535850068, 423299447, 493818441, 580480993, 299161523, 649459821, 898201523, 662071713, 340463885, 846058152, 355659789, 824213150, 394216017, 683332920, 934302829, 1051991568, 861854681, 1063138117, 1040645313, 895827473, 905187810, 199457468, 790491296, 517054853, 1034937896, 1057442190, 464134122, 746191053, 1037832886, 253697425, 231927930, 451740164, 442042508, 367954856, 260890452, 57380013, 916048020, 413516560, 658602805, 588331992, 335562987, 625015935, 882568630, 684057855, 328235528, 312148150, 995134780, 734449546, 18181758, 520073814, 3220825, 854905709, 1045937068, 865955900, 166498309, 181300034, 508463158, 337156329, 659564156, 195102438, 882798083, 584505948, 188140184, 60771178, 127371380, 475880105, 120582875, 373155441, 112966802, 86317737, 84757978, 881096592, 708482586, 324821269, 899471254, 260337101, 425034742, 34982548, 514910503, 242235608, 428367312, 930350972, 519764122, 752909169, 57721751, 992008278, 146925636, 387001649, 187289107, 52342125, 986572113, 749045197, 587500301, 744474200, 468708175, 220331903, 384944465, 75004781, 468002313, 122668277, 249571734, 715713238, 958582188, 968479241, 514298886, 3116311, 239946123, 977310629, 368625230, 588529499, 530495785, 1068282551, 234606289, 441764943, 869553404, 286417045, 162373737, 922432271, 1054649179, 434739684, 493689, 765390133, 10269747, 868086965, 358085690, 831518985, 364236205, 414189677, 43362462, 342459410, 749198414, 513964277, 736290955, 450712812, 588647049, 241605087, 784262751, 742576837, 986827518, 291602058, 206956002, 767006938, 1040712538, 858620235, 828472884, 8450790, 315372158, 532854850, 538529780, 940256846, 74412930, 522686374, 101377196, 891983143, 112224160, 964142088, 1055238951, 546332607, 708856849, 60948463, 811447494, 122046854, 885887262, 672289622, 987508217, 374681288, 1035771557, 800194219, 675030351, 538584089, 495333242, 918465086, 610895313, 715889761, 1048620795, 333067719, 470745593, 518003506, 450291440, 910027391, 159546635, 870985573, 219844143, 106292053, 602446877, 19306841, 1041135484, 443644312, 786423356, 49184488, 1054529391, 517163867, 381778022, 401377891, 368131607, 177359284, 1006244013, 55117433, 107538926, 306484018, 1060343614, 254912518, 452112920, 627682677, 197421462, 773396815, 181165870, 1051782036, 14218414, 499410337, 420931673, 616574820, 482013186, 1016181279, 216407962, 718913192, 451453798, 60211079, 352714966, 251327857, 94835564, 267820346, 1042719068, 550163492, 722654519, 610176272, 742264662, 884901632, 579800451, 112403768, 391825358, 552082740, 486624308, 121048971, 509765385, 179989059, 511394764, 462339591, 961026539, 870771359, 151658205, 896665267, 823968127, 406152300, 914422549, 245012890, 269382147, 925540125, 886590819, 553448204, 67042646, 170696729, 167764475, 336682419, 42825432, 1054518612, 750868594, 701715770, 779015042, 210112455, 922170503, 286851311, 146379550, 265247511, 638706935, 351066504, 329343764, 759039729, 712790475, 233121685, 180080433, 611825592, 311817412, 507523995, 475056744, 32847082, 636178650, 42839450, 164183440, 349895249, 369269954, 586568959, 780468991, 492198468, 1045939729, 22997623, 969898446, 870207862, 151211601, 653945813, 647695785, 558397594, 59545481, 286284454, 686559320, 136457225, 266430228, 558631624, 157362350, 1020595995, 14557147, 493359061, 232334729, 388982244, 760397480, 895233776, 529024429, 507312751, 235573340, 1027308064, 184124883, 23815892, 866019809, 78927057, 583694750, 111050251, 732598973, 75783487, 1059553962, 666679133, 46752292, 658983416, 793025593, 446259109, 276757704, 126681445, 800319542, 760768147, 515703824, 364332125, 89967404, 1036093600, 25439296, 802618782, 128662100, 309689010, 135407641, 68279194, 854772535, 554471220, 557953431, 678892778, 377106601, 122361407, 279972122, 579193716, 966299130, 282326542, 1068923581, 623225204, 719131708, 141073137, 170522872, 24834876, 909078779, 379206042, 463632023, 92348076, 360863068, 985042411, 718478292, 870769318, 18102357, 307009883, 216941142, 920717472, 365454665, 1005813126, 701512497, 75812391, 868566043, 199982472, 606868293, 613558975, 480527819, 175946976, 1052068566, 400782820, 983979497, 923318496, 195907068, 1045252060, 833527866, 183125668, 475979372, 53281212, 946327237, 417814847, 187922689, 349078115, 637368006, 674462195, 695667829, 800214881, 325594451, 167441327, 397087333, 430887383, 515331800, 436193709, 437323442, 809129917, 394138777, 652734092, 938005920, 1008458449, 61873389, 672694034, 745901985, 598982649, 602866434, 46475280, 438197291, 104131635, 907017442, 1064438941, 375714703, 555877134, 394675660, 82264279, 525572006, 844525230, 751742916, 350528369, 750700563, 782250467, 923866745, 838970356, 381431091, 565136116, 33404677, 597174081, 111690160, 654680749, 759525290, 977639614, 490112979, 1016143114, 211374857, 334880029, 1031734046, 879798046, 427897776, 873056019, 80644767, 485426097, 757807213, 215340131, 335716850, 848770784, 600983771, 677386739, 866547290, 970920564, 58331428, 172543966, 335843414, 930765885, 5121056, 130971981, 260175238, 385214687, 5183558, 1037287498, 634873342, 479308147, 646262928, 703348758, 542088716, 690003914, 526264419, 381617482, 63149481, 943522759, 179834948, 243572722, 197868663, 13070463, 1015241056, 829743084, 202596753, 255035519, 1041334583, 90657265, 116796806, 641507926, 33419721, 1051458157, 850604429, 504761534, 174623316, 528886121, 978912365, 837697610, 761155777, 478734685, 777642860, 257043542, 154563162, 180523788, 852645229, 351024221, 283600968, 329852034, 1040930851, 124248930, 130926396, 395848040, 835422834, 698254380, 219358614, 762232640, 457618429, 128009545, 207577300, 388827379, 436262337, 479291931, 1041641245, 7151820, 591785767, 614861583, 1070338557, 177427722, 316846018, 870199518, 1001436015, 108563680, 175225406, 340979407, 11010925, 858128691, 693427660, 731405040, 1003600134, 118387166, 778619362, 346586665, 684946631, 760588871, 780386002, 849379982, 917775942, 1036767244, 151211358, 853464460, 505995844, 185965274, 1513423, 448643288, 281008716, 722441728, 109721766, 357521484, 301305119, 430849337, 312402019, 581838645, 1001391023, 678899439, 806949102, 62923938, 192320291, 524091991, 206084447, 235531899, 62668474, 216333148, 374323863, 915406842, 506588703, 613629625, 499873231, 55631830, 201865976, 199741289, 9483706, 561128019, 271243350, 581165006, 69661071, 363233267, 247293094, 616622391, 689074696, 903386588, 890823924, 811624165, 841474270, 733076298, 231378900, 452995658, 92841743, 935945413, 563828570, 620749508, 424292754, 183480833, 920577705, 554862412, 224651045, 1073443933, 857082281, 457661897, 962818980, 158360195, 469404680, 129210147, 244611515, 359601127, 555131664, 402417106, 537621084, 730423042, 828716488, 683478925, 451541615, 506967880, 381423408, 233637889, 238505118, 693236635, 729661800, 241873024, 370828335, 843044666, 698628908, 968340085, 358120668, 541320035, 950534975, 207838000, 290411853, 201513005, 195401746, 451328153, 440986631, 360101818, 923095805, 77142043, 19827058, 419651840, 740146583, 905177043, 655634685, 556338850, 640460676, 857401688, 493917157, 725800153, 231097683, 677433895, 108829587, 771422776, 689319441, 419054702, 39319943, 248276793, 630557226, 559351082, 258197988, 958632689, 337559088, 991116526, 773162758, 33585976, 353615848, 507879935, 646282857, 352564125, 400380633, 539708085, 35885481, 15916973, 732659413, 827219633, 252149863, 88267781, 572079042, 491684625, 272016433, 523047918, 281582972, 1038808293, 31356064, 544842588, 797464826, 747143930, 928867470, 699439654, 335313714, 1014197729, 789385643, 19559434, 218071068, 706246966, 931406402, 391209173, 631316289, 1021457068, 904834081, 1005265648, 937227162, 598311728, 446866003, 521243640, 488211293, 91902972, 542934219, 15612429, 762003057, 942050553, 40284759, 862560092, 410264237, 47528322, 754189000, 453364316, 554182422, 488664557, 632767985, 997854267, 921705926, 1015161414, 510895637, 584823061, 933361834, 238938095, 3682485, 751776221, 1053032593, 277711147, 214428241, 366502556, 479302430, 617432640, 341465706, 647466113, 80665589, 910766622, 845140041, 24675597, 337048598, 482827568, 917405414, 132673677, 979884585, 816526566, 981606950, 62790003, 714869151, 772447626, 504416393, 287329651, 533339095, 671978228, 146598153, 227987832, 880062863, 64115113, 1009895680, 212595852, 81901467, 615124899, 954097974, 1064281680, 100458689, 826564622, 942770995, 1056882535, 134087980, 708291841, 864344401, 715616218, 1024464307, 347357136, 331914561, 941426533, 150037418, 987764989, 905019710, 890131723, 891764393, 599951834, 128527712, 763142237, 214171160, 922835336, 6251335, 719036442, 155790429, 646063755, 801984184, 607489142, 1047564364, 349445159, 663211739, 186721833, 38128493, 988212357, 127787386, 861481579, 979692513, 890709099, 174842490, 464230651, 222352970, 646831952, 412145083, 626577357, 1052545031, 681243041, 70605950, 47088784, 262140364, 931865056, 775064787, 579159569, 283085748, 926643355, 28143574, 10000403, 368524738, 833615561, 52699308, 271713529, 487114770, 490296232, 316655842, 661237678, 343542375, 727619318, 505312262, 352379560, 453971886, 676758550, 761960753, 243165976, 593655245, 525398827, 299265885, 914031240, 1061520128, 212148906, 219295282, 546600979, 278444905, 206832352, 970230241, 602443340, 694423585, 389942633, 919271543, 612464396, 414939665, 44169751, 724131270, 812697418, 66708427, 154210613, 435033402, 689455087, 927959350, 6802046, 101521888, 131383146, 503270865, 272602613, 440891594, 514722591, 913470289, 640831492, 1063593401, 1069948755, 931895129, 798431982, 134655976, 1053660300, 371789105, 230953301, 289275644, 846301305, 317079661, 702374978, 427823644, 1024319175, 289389733, 175682497, 188951686, 348018636, 504785947, 975654351, 439024995, 75209302, 300890943, 833873877, 1420545, 195440810, 555691251, 523961915, 531563568, 194408985, 442264985, 572473840, 26742295, 651280939, 57369038, 844717713, 981904498, 399442015, 569989614, 908891946, 435519815, 743882597, 275627499, 799247888, 214556845, 260174966, 422859012, 213339255, 11129664, 571227893, 575492624, 399363168, 896334823, 831218239, 128254272, 497048196, 145524418, 969296276, 249322649, 559909829, 484955470, 1044455382, 782914955, 1049531496, 107724359, 174249360, 778693056, 852438097, 561327450, 796786808, 1027376233, 57333315, 924276129, 1019786046, 580313114, 64905669, 560276706, 645533963, 68096301, 633989248, 685645913, 953525761, 437425048, 117932599, 71058712, 590791596, 1186870, 402129021, 539125124, 819994794, 442921520, 643839019, 515363362, 327604109, 714028430, 662056666, 999426217, 933591413, 272158427, 711227400, 553000564, 246475431, 11998859, 930023339, 605166895, 258797953, 885455312, 1005609205, 153500604, 438395019, 1015578712, 791995951, 911673918, 243426142, 714124086, 448223029, 755048869, 992687071, 1044039009, 291409113, 839527440, 1040609033, 232880222, 698066222, 947142420, 899975647, 766551912, 94854772, 212519272, 23142158, 482192760, 830416864, 837929402, 426672201, 850579709, 40972672, 89304305, 664764204, 591438682, 168557319, 609379102, 434295888, 21606093, 39282559, 579306019, 281367056, 569746351, 336871574, 981696586, 392388111, 71386950, 848842449, 594186076, 248776694, 977895160, 497913943, 1042118284, 1011622201, 328513768, 607475212, 594535179, 894077525, 898726768, 957861301, 626574191, 206108828, 309043531, 517526061, 48921498, 783462708, 408836562, 641455259, 671527188, 144872023, 480702227, 341460769, 426223970, 322438568, 940048001, 879275277, 501210751, 590405669, 40946485, 588376919, 133015324, 353263367, 738432510, 445219358, 984865487, 949894135, 126854802, 502875020, 167176461, 614324579, 17314968, 398289791, 796171214, 165275266, 186219308, 707504143, 277892813, 270669170, 122030966, 83815815, 4265009, 687433864, 646200184, 228404810, 275072216, 312635349, 114423462, 127726222, 532883365, 541585421, 652874921, 839553856, 445782145, 923362970, 935950562, 169175759, 361419312, 900618759, 618463945, 337465415, 184962206, 697023174, 454231774, 551226982, 261866841, 360402643, 171791213, 844262403, 426715896, 871970765, 32823226, 730423499, 966351294, 218910399, 626489770, 46387342, 355250275, 106443355, 571697190, 958848413, 1031920119, 1015295721, 934546736, 827063922, 424984452, 335470996, 452953785, 941761511, 184346380, 996949946, 198051712, 638264802, 571943045, 881503604, 13435552, 616440703, 924301973, 1070301965, 321977030, 219830124, 210116541, 546090330, 273111029, 507852374, 616453648, 41892353, 393100048, 119309107, 395759844, 418567477, 110898325, 203191406, 133296989, 667193502, 799627431, 26246570, 951053535, 411808933, 422218193, 2388505, 852445866, 988004787, 720235052, 943127116, 748004417, 875338505, 281236254, 754841931, 16315527, 184119398, 297581371, 119174540, 869932483, 567498340, 236026394, 729961821, 290838607, 360991758, 781175883, 246678695, 174977252, 330846188, 436817823, 672827637, 767184510, 1013882888, 1043673808, 790639667, 347623413, 677543332, 895898890, 519634477, 983296022, 155723926, 510325433, 755451411, 917506923, 144759136, 542412298, 160592668, 297849495, 729021249, 606076220, 891989724, 47632954, 822656261, 816071160, 290032794, 30847858, 778021937, 425238049, 607857943, 1028200551, 873687912, 264615473, 736862477, 690715634, 793754184, 777174013, 443076776, 468702481, 994756264, 594480219, 356656070, 31793266, 650655360, 1059897607, 527431897, 311871219, 1052397604, 699572508, 465455044, 756588202, 185433342, 354333696, 775345464, 325948622, 596870841, 752547562, 415697566, 320661785, 13476768, 932598306, 628530234, 503622511, 302789562, 79214218, 930930630, 314986172, 44108388, 927251804, 938032003, 941552552, 803196944, 194931925, 39706747, 217043298, 49794451, 9174024, 591567462, 570005810, 124821465, 471168998, 469024078, 267145761, 227264551, 380596000, 412597771, 941585784, 444810409, 434942157, 601110793, 910919968, 90305384, 591446685, 133442339, 684801561, 340202142, 359483778, 264473430, 479513871, 653748865, 894039895, 149323844, 347519994, 828218479, 843855230, 1029684112, 1011789228, 134075816, 100646335, 667049071, 275109108, 559466645, 667165834, 17901096, 483778646, 998993361, 639506355, 398652947, 477200670, 251345308, 485120687, 760555491, 608658687, 878561716, 186295480, 935556643, 709077341, 275105226, 840216610, 747915969, 930723246, 934055464, 75815597, 706623596, 251207138, 876418282, 1021335759, 834626470, 959231562, 287851966, 610838963, 236016698, 921223465, 942524648, 772677986, 1048620926, 224592604, 746671129, 853657972, 1025617926, 347568273, 918655963, 392342307, 562985687, 252345578, 501339294, 1026379948, 794812885, 364701017, 887418006, 209951733, 549983634, 194200496, 763184813, 821535983, 161976739, 130759169, 928498970, 757894091, 194311452, 494811290, 469593074, 26754400, 1070194157, 246939533, 180637824, 105656921, 883876968, 546986717, 574187689, 557478942, 442047424, 335260103, 697342041, 75947594, 752924030, 547850399, 56784729, 246314178, 500035158, 662353296, 439565113, 818923952, 406886258, 45663944, 500684439, 162969448, 839324179, 822160650, 325934780, 526808827, 830590246, 837035996, 101011844, 734448094, 77060177, 774369531, 570095007, 558387690, 912591814, 653791457, 928669567, 403920414, 927522221, 775853317, 214264864, 639535790, 1012764756, 424488438, 716967237, 439686640, 34247511, 863320199, 112402400, 497558941, 635795762, 589188768, 434596902, 869794734, 104935243, 53882479, 8415713, 1045767826, 919412860, 786126815, 199124478, 432235016, 68043851, 529007171, 910214212, 617592732, 492577134, 441342723, 590131408, 785524091, 120811969, 695726357, 675400184, 711199389, 426351429, 349807807, 64735337, 76693184, 204406381, 996160427, 272814539, 1026988355, 927876634, 53466134, 326170990, 354902737, 141411321, 827528240, 960398286, 691510553, 1042150940, 493706489, 887394505, 1005636399, 406994122, 136445769, 1010220875, 271217882, 1052766435, 70763006, 436451556, 920081207, 607230002, 851357009, 272019744, 70788539, 576656201, 620453378, 755415197, 64055500, 419200337, 642807054, 111737502, 743087434, 902254852, 976076805, 101931366, 550441645, 101776346, 632598338, 508157648, 500687997, 439283325, 289836067, 1040742431, 45389530, 877405393, 1708575, 119681190, 529821771, 783560253, 578078576, 753622504, 633591735, 567930167, 1050415839, 137546105, 465503608, 405955906, 735023248, 687298774, 50492766, 852347291, 684951641, 919900189, 991618602, 144953357, 804147951, 355775424, 510456892, 136706098, 1051850050, 748342499, 512679224, 900384155, 808058221, 167191549, 390578768, 24224404, 277665194, 72993859, 988581854, 429433584, 384327895, 703595720, 180989520, 387216226, 222297682, 872109530, 441069021, 964278564, 228313969, 390025651, 292274477, 694433276, 114723428, 911201563, 522132543, 971824841, 779536391, 123105904, 103677858, 918866154, 234944240, 298620257, 391521515, 352293594, 625060243, 458218062, 319702888, 891387625, 88462940, 810751114, 1029602804, 192295105, 253434948, 1031459143, 504272518, 421380878, 1026810138, 596019374, 355724331, 376679604, 400533279, 235025035, 431192200, 126245572, 270031292, 1019815063, 884709350, 426084683, 250060872, 228012297, 758972084, 128562950, 538678155, 544123432, 369080662, 968577638, 731718547, 478288871, 633186758, 835252152, 90550188, 100786903, 536656998, 87046319, 1057019807, 530118746, 128486249, 550380403, 920270405, 375044120, 214709626, 334235958, 509253850, 437779824, 356890706, 474144766, 612205505, 915112913, 1062720552, 163691010, 609951439, 381245715, 322769637, 428135056, 1019162197, 329273541, 852729539, 435606136, 989176563, 1010122054, 595926018, 659089971, 227438511, 291362998, 81490957, 254975793, 8052632, 348646284, 372443963, 705322977, 464293949, 1042775889, 667409598, 940799259, 769547301, 322231955, 448824974, 761795111, 804008875, 249609336, 988339509, 296317379, 860413509, 439736303, 788498902, 810983505, 487784436, 54881817, 881718312, 227330333, 465815225, 1034900916, 643041981, 354134290, 318377752, 635823957, 461319251, 400687696, 97964649, 443347748, 377159852, 181824097, 655630051, 1005717497, 602151068, 975648285, 719054114, 94530976, 239454604, 928422180, 319388175, 282601021, 121167721, 626913399, 754328143, 1039814416, 985049869, 553208038, 500623842, 770053641, 375262545, 599191481, 1006633353, 31983121, 683566176, 668945821, 788176354, 166919543, 516706989, 686042940, 410721409, 440206284, 396719237, 251165009, 869534664, 434161322, 726818068, 1008025073, 227837727, 182110632, 591598609, 77776305, 959723017, 78817893, 768595417, 204368073, 655999856, 913001526, 229442061, 333922307, 475594394, 1010953934, 848104592, 391144614, 654787971, 751377683, 113195292, 671795442, 182170031, 208274676, 712670389, 29378380, 568772804, 856589495, 152572375, 437988907, 943470297, 478293146, 14256895, 589799461, 743074565, 989688787, 206098503, 224661329, 825095875, 200755308, 308283533, 263345997, 180032665, 1025479553, 526580402, 300542877, 439944796, 255370695, 322536473, 650671903, 615839292, 1039769399, 92255035, 1048141734, 701284530, 595486616, 88869296, 761623082, 517335252, 239893257, 172672919, 1014004879, 1037990245, 101327363, 573612331, 524742155, 146904441, 959736285, 692557777, 1072891585, 897762601, 229786934, 59503757, 709068664, 751302114, 87116988, 822018077, 440539537, 519243513, 131159505, 66021319, 141126310, 888877365, 84616168, 330329338, 44484721, 89624563, 820281353, 433144219, 186541804, 902805419, 286813386, 537784377, 257278841, 377794421, 768528525, 500809353, 467903224, 193517434, 1073271763, 486554368, 723854949, 619994536, 797151322, 309564151, 408150866, 544304817, 818536200, 935557880, 755258889, 1006413633, 611743585, 164788342, 722505654, 650137086, 789063640, 788548710, 652985271, 332191395, 760535024, 1032325150, 1065024241, 366687852, 879891759, 1037368497, 639769891, 659051855, 189794005, 13565005, 999002866, 169653862, 468178733, 942907554, 886261070, 949601109, 1021689107, 380667000, 780305379, 1053090937, 326462493, 978125863, 835208899, 231723715, 51640921, 831242446, 324922245, 387318920, 711786491, 735264755, 65725402, 1026418818, 264014569, 131079084, 662404853, 692844589, 761117531, 1022447043, 944135870, 757913264, 675692095, 586193082, 2190678, 378008204, 1627691, 608174701, 816631630, 273659698, 999928949, 36123079, 604991639, 53241046, 49014740, 941683445, 859553142, 735735807, 29660470, 647979858, 197191068, 224638325, 11030398, 648505686, 385954895, 1005260116, 997223981, 857691547, 981264459, 979422250, 205150204, 133851057, 1035092403, 732131422, 752798202, 255614321, 914456465, 524230388, 288301029, 939152178, 110138017, 540614614, 206925208, 338650064, 348251477, 799420595, 493759958, 44439429, 937093074, 993069561, 405073371, 673474304, 761114303, 818283255, 372572332, 460830417, 174961478, 856160199, 795267759, 506852708, 56439454, 632876860, 897082489, 898913329, 426243174, 840989985, 244981807, 904665990, 1001063434, 1057635769, 679905643, 1071799218, 765913855, 1061996468, 586983104, 473291090, 593790253, 424221653, 392808218, 837067658, 426232700, 805576633, 716799247, 88674623, 5459104, 531732226, 305172516, 282666715, 698070098, 752637606, 398093594, 555219474, 1013988061, 55489130, 335524047, 54260268, 649308817, 784304676, 1066658187, 594291792, 132489223, 51022861, 475526, 318900081, 253490740, 750204823, 923784224, 503266610, 526985539, 1031147073, 1056930632, 411571015, 705824454, 762890382, 921518243, 941149046, 899061436, 618128438, 430305718, 63328752, 902357809, 377106045, 240844861, 737115886, 557530813, 712767994, 27595000, 847169656, 919220669, 617939622, 447041652, 746580110, 681785986, 535556777, 984352302, 221623679, 1067161028, 194413286, 887500482, 837968196, 335359592, 364648661, 1044889573, 367392309, 442469278, 511097849, 650611098, 103311015, 648897475, 123068313, 974509414, 1057791260, 707910822, 794304922, 23971268, 949573920, 1002924748, 826755885, 914536572, 1016393585, 295821090, 170829958, 573881489, 350490571, 275933191, 166691053, 892501386, 676340523, 140192060, 564638220, 113427238, 392440717, 63374764, 1000397295, 234233381, 376125121, 629379897, 237148802, 700604450, 370926882, 800876370, 184877833, 152116334, 475822334, 694311844, 85870731, 127126268, 584519988, 21299818, 324182360, 218195689, 448271572, 316651036, 764387640, 666053767, 641337208, 546225953, 420568173, 9470964, 43373402, 6460034, 238771697, 319199434, 726548602, 1049362308, 554905436, 435794712, 815489050, 89233660, 393711581, 1045447781, 417625155, 345717274, 236120663, 470018911, 176019969, 209866260, 256189283, 263679629, 814222077, 941558027, 672724611, 843074227, 479206998, 288821386, 973197203, 890869048, 270119844, 445016271, 962391203, 888792018, 1072075764, 519271056, 333164667, 46241357, 249131382, 707508431, 608837752, 1068331538, 287954500, 965837429, 33906590, 995035116, 490321056, 920571970, 341977654, 251233458, 268797907, 608486247, 567086904, 641946758, 620909125, 722695237, 561715635, 124888883, 711041427, 906589693, 1025643308, 813597176, 121598040, 93590446, 101343501, 71239042, 309804519, 879795010, 364859154, 557115883, 351789738, 320090226, 12404951, 453957675, 61896997, 537331777, 365892710, 741009766, 1071563239, 855090105, 448140017, 933059986, 44953723, 1404778, 113096657, 989789642, 544873736, 541967607, 895467353, 1043158670, 845986037, 877399737, 22898246, 431365783, 205096110, 104783232, 1033897339, 420515561, 371055279, 721022932, 207571346, 698299090, 509312869, 682549231, 741249595, 831679668, 596049754, 437731493, 847620871, 754781871, 107207553, 1029157031, 56960797, 812557152, 579767260, 49415718, 132644733, 597364741, 325818363, 56478194, 72529978, 631251145, 763616156, 1043450398, 365471110, 114419556, 937789457, 417405279, 1019138292, 20008054, 645885160, 153839601, 454048548, 98745079, 536837666, 184746802, 945472251, 22274976, 916997827, 946189513, 896819091, 677875929, 850125522, 709040800, 944274336, 765777978, 1069726687, 336117424, 302297831, 827313986, 802877579, 472014593, 929685905, 533640105, 1011368265, 733369084, 536075118, 505127547, 694919847, 134442428, 509769849, 628042642, 562027754, 23900349, 990092169, 493811113, 643470304, 429837726, 875536819, 632235943, 959422010, 411684932, 848370936, 342742431, 1063254855, 179576918, 478349027, 577054456, 46884567, 50387489, 293615222, 710982633, 720044837, 683142179, 431413604, 188297574, 959876645, 738182370, 307930790, 422981710, 629377601, 977208519, 859477721, 962636736, 483998234, 295111125, 828910862, 477870375, 963417656, 644758816, 930798150, 899289023, 116844221, 853862278, 233948894, 697835094, 168787219, 484191368, 680955023, 464937045, 705547127, 896667302, 194188607, 504222379, 725321363, 152621549, 247733014, 520062248, 661984454, 192593565, 304080802, 214952952, 457918689, 863441699, 30127461, 1021130595, 836081355, 1020470326, 531938926, 887060819, 532008789, 699401768, 412965185, 649461163, 449546969, 3268309, 845450103, 1027490705, 771408835, 968260911, 890305379, 274497988, 700713571, 574503945, 1013255183, 446053905, 65054226, 498222476, 885004881, 134901719, 867891098, 1043205581, 128502782, 937415815, 585294875, 216151757, 964048916, 191829024, 890804686, 869773849, 948267574, 340584869, 481058575, 755459151, 368346517, 859607619, 409186640, 643305284, 375743159, 72335719, 995066517, 619163873, 903451388, 456669431, 300694749, 588010258, 240223654, 452457676, 38939057, 349186535, 61711271, 182918988, 445798202, 951718340, 825438313, 479751252, 397675178, 122164652, 481001132, 314222336, 521679043, 858729943, 955094223, 666536524, 39981682, 918296638, 362009962, 530227385, 291172056, 544987048, 32048272, 162401411, 593137518, 855769847, 647168550, 483770488, 954874071, 465357487, 783440622, 979794557, 430747424, 112050794, 1013060995, 313985582, 404836328, 225590054, 924497819, 132873285, 69028634, 256209688, 798074341, 712450535, 359350722, 640535501, 741827724, 672775700, 585341420, 685917722, 78295823, 697947685, 653079188, 165266877, 990486346, 879532909, 600785792, 97181688, 772737178, 507724152, 272472543, 504418283, 556203033, 32455960, 583013257, 29355382, 618975147, 562621100, 553782625, 517331217, 21417200, 179918711, 521599636, 781060033, 179087078, 647161577, 776531922, 617711915, 841591985, 1016272187, 754733580, 386948664, 644152231, 842896140, 6624565, 710329462, 846578471, 1067586863, 441125795, 800379597, 559519043, 1030732599, 1040066438, 461544014, 165904855, 252656830, 300786262, 157312349, 251328670, 34128798, 375980801, 1045610723, 817947372, 983409197, 412007898, 895892678, 870686733, 103505987, 884859317, 737523527, 863192780, 841856853, 580687300, 300492491, 1008707080, 15500606, 658857088, 121787167, 671684107, 214214918, 582083730, 443466809, 249584703, 139585057, 671648436, 707620365, 628652295, 283810597, 47266234, 947378897, 519858929, 681592011, 411018742, 16555110, 10750011, 968177419, 700328084, 579024049, 539247893, 112683595, 518137642, 467041060, 471470835, 381548090, 398903768, 713851947, 702564133, 51469253, 512114440, 467880720, 1047767416, 94653262, 379703356, 203141051, 854444706, 903298303, 547308072, 625932572, 735892033, 375354652, 244311739, 16988782, 998016822, 701054869, 830244361, 130913300, 771343151, 511871245, 761175534, 428061250, 918916192, 586254125, 62565767, 105252058, 795939432, 1028479851, 764950964, 1016878588, 1064395938, 229199262, 487471797, 568954736, 19157070, 620872659, 694695952, 991207404, 815909219, 655297004, 110087449, 588569500, 469474990, 401418881, 876943277, 942361273, 536972971, 787507798, 1052319756, 806053851, 214044393, 216023411, 984620999, 1005627164, 147564853, 148883099, 1038594651, 795529550, 1008902820, 195468486, 973346938, 359162489, 61833662, 501756178, 479900056, 928934405, 71821044, 608447520, 1486996, 100935639, 388590541, 665893367, 339052745, 841929214, 1031795718, 579927282, 868435879, 979257719, 838939485, 551441346, 335044321, 748357193, 864461449, 405492072, 315005944, 507131992, 18789284, 561916947, 36253351, 403330631, 709680956, 113826691, 735462068, 674828688, 159824187, 916992706, 566781902, 675028233, 793513476, 329973114, 389526615, 40981317, 557986505, 982671876, 248055430, 592304558, 290861137, 951601601, 1024044029, 801613929, 631435211, 421298681, 1073189667, 194752781, 909636048, 901545686, 852600225, 813725851, 175038769, 450150060, 491096528, 578004320, 364416276, 833520506, 58261383, 170242790, 617299839, 318331674, 629616517, 31905254, 918559701, 483847355, 750246717, 626234226, 818302046, 1061556820, 109120318, 344674166, 851639650, 891485975, 1652087, 134402415, 1037214052, 293002898, 340356414, 527800669, 911418058, 417532977, 482254925, 893856725, 544202841, 776939629, 105738030, 47963349, 944793428, 407885011, 409630212, 551509422, 306919885, 223186313, 181729162, 835627799, 1023556261, 599547578, 493468566, 483636482, 130274598, 609265353, 303278064, 627265889, 964300793, 837783701, 46438203, 341764524, 728320663, 432478621, 582036528, 763093092, 547715454, 791178769, 907842045, 494888104, 821164122, 585291986, 367104334, 512999713, 913892629, 184891923, 738785367, 853411215, 782732858, 229397677, 366934485, 992721796, 806564863, 288073986, 67100887, 973209431, 920270702, 744115958, 686591109, 101141119, 331193065, 687753346, 992726342, 540415834, 384984285, 492527535, 357510643, 168102125, 792806981, 27808827, 282094077, 201705453, 477591097, 351192980, 141907734, 99768910, 10976585, 20491582, 2835086, 1063044234, 786230648, 549616563, 866788749, 500427798, 974967469, 986042741, 226814948, 408052888, 956167747, 431505368, 968659278, 918514146, 573285334, 290516162, 109321694, 841688039, 1068329819, 251905722, 57698714, 742911908, 152881764, 138432990, 155960712, 107278403, 292571805, 839216514, 874344142, 28633614, 1047028672, 843563722, 685396639, 379577854, 356644634, 383233216, 1042768261, 209588297, 246398713, 339163511, 743740617, 640851599, 841933224, 714741294, 116059647, 306693373, 182508316, 191226586, 501487129, 765121024, 1035054100, 589540946, 105184796, 1035649483, 92451488, 647617460, 4092061, 504702811, 604880521, 276903106, 1059319870, 704128597, 317237128, 412466566, 269665865, 513542904, 455018449, 305150547, 795650531, 249807082, 976396017, 974018524, 120812655, 1042048717, 855387705, 178624350, 162826915, 950834662, 906170703, 190624512, 921651589, 776775431, 930421658, 812485915, 624663989, 576178314, 1053742179, 299259150, 240386913, 892131394, 467976473, 311906027, 140291516, 614001130, 186528875, 440802554, 133465011, 446999189, 179969207, 584321895, 323918211, 344345603, 61929242, 225775587, 347921263, 708171966, 682429174, 543724454, 700966503, 923817296, 1060889018, 602212912, 845087928, 956856798, 709195947, 882463375, 245882945, 878271418, 1028892139, 323691814, 686233173, 733577069, 824039518, 787982418, 486613185, 411435257, 350650379, 746401499, 229565230, 670355145, 478629999, 379994009, 338847155, 43016348, 167026425, 28350893, 954943858, 382622844, 689669410, 55479911, 402388994, 104533497, 582936174, 277750428, 984279066, 823100298, 295912501, 502846216, 20931220, 530571520, 167674364, 506326213, 432834376, 877474172, 3792497, 588608664, 687412402, 1047600718, 159403778, 201780492, 643737029, 247427198, 398564467, 362146321, 978087785, 1012357977, 183228010, 151886437, 870239411, 544832730, 356282265, 986764412, 340872159, 404062539, 450129246, 890868741, 239580513, 334711427, 373000760, 706560240, 917244121, 562073796, 212750551, 137258905, 130158820, 451367406, 250074228, 605629354, 255364438, 874829220, 329496546, 976667801, 414182304, 162552783, 199489914, 68793082, 498731569, 650483063, 825937923, 299542309, 401877077, 566750355, 970496470, 183766210, 799623453, 946455745, 968956798, 712886167, 604332056, 456558639, 1014729903, 118395708, 580442814, 1000540261, 171734531, 790984623, 88829546, 561183493, 852509996, 736013039, 432947359, 1017304394, 882723876, 108626348, 340236543, 299314075, 731169893, 936063212, 984540383, 61393103, 53717642, 320437182, 691565815, 338427714, 822253790, 6695928, 598006452, 422114192, 954676194, 470217636, 402405861, 586291127, 300663640, 573126051, 595564533, 746871423, 943779462, 141735748, 225699571, 492152704, 1018594428, 956305970, 550211196, 923984709, 137308838, 308177678, 724674536, 144528971, 354984218, 427573692, 202209032, 650701880, 338584386, 69507630, 819017668, 685855745, 508968152, 422580834, 287627641, 100269273, 775217268, 189542771, 709585429, 290701193, 279222022, 7279315, 1006497055, 236180868, 709499938, 122176616, 914609914, 888462963, 846392222, 748489304, 1016883625, 251833703, 349392424, 332592166, 58103229, 139119029, 443461433, 188566775, 125598806, 113300166, 30622616, 529104769, 615767860, 87473152, 1002997319, 504033237, 85511729, 433003065, 146738038, 987208922, 459511635, 781400743, 232007693, 907101724, 893240617, 1046237902, 417030958, 582733653, 493517409, 445052493, 659515847, 490824727, 708601619, 125254170, 550475079, 471502023, 164453749, 225218061, 342595394, 808542111, 21330220, 126602634, 278498739, 707731681, 1028919397, 231064181, 933543398, 623445662, 923054604, 604592734, 510270242, 995159327, 685794875, 797571736, 239828935, 669712144, 451151740, 516248641, 70298171, 258439598, 917550302, 155632555, 979000653, 48401403, 906817376, 673419824, 661264079, 44423386, 438860287, 492544547, 440816538, 492896289, 480180965, 683586603, 354026496, 206662500, 288392272, 349859185, 479887855, 199077694, 291582402, 290409026, 46781293, 969552392, 600835534, 145174884, 922991774, 363529308, 899201623, 876131342, 672435291, 28928973, 452874306, 1004883961, 321194542, 751803056, 164274003, 323651357, 117636477, 146639277, 3602968, 447569471, 889888977, 973933216, 76244071, 955227871, 1021845230, 476229618, 409859959, 136949810, 1059617459, 80583592, 733103078, 720215356, 200619353, 404512543, 594774250, 142328604, 564983699, 613293791, 897141598, 63512692, 40875364, 74684434, 744904905, 720932941, 1022291750, 815801468, 100533875, 200687323, 881572173, 833123123, 251343989, 579155035, 217102249, 325932896, 538126087, 399266330, 415882472, 233657023, 1055818319, 49699522, 577484840, 98607373, 616072406, 109561920, 918498916, 172378945, 678864237, 894636374, 375865338, 771965552, 921189001, 276160584, 908213524, 272932269, 183854242, 299539993, 982309140, 3636903, 1030185686, 54807341, 846020811, 1005791279, 388307098, 579642605, 581820504, 355412051, 735243974, 82131560, 81014057, 733082419, 565103574, 644049836, 376901321, 944117097, 719633268, 502284639, 40093480, 744500300, 593575333, 517498481, 114807133, 483422837, 825621451, 132022100, 13340150, 111638334, 948674018, 406614751, 654436646, 190653421, 983041101, 1054785708, 867996902, 59241786, 14785332, 1055247032, 5249446, 903034252, 60205725, 862427508, 437966767, 32052325, 920189211, 664959587, 155644191, 237908639, 1049392851, 190992531, 724338744, 1051061871, 1064053341, 221811131, 710681339, 491152633, 362676855, 914880257, 893390909, 380859623, 459673805, 1044185622, 199728379, 235040486, 201171529, 49925716, 844296594, 946755906, 672450899, 251847948, 721452240, 710940431, 508917552, 702826543, 173084817, 295777562, 621242388, 622292088, 72848034, 612112720, 789646077, 305278341, 800702017, 826572841, 960127649, 602057112, 1026070953, 392731367, 856916119, 407834321, 86402621, 232868381, 371653547, 206059063, 986449055, 878057190, 328197213, 144953028, 1027590286, 917070848, 664526736, 61734533, 125332924, 651804375, 128017537, 19127224, 756335360, 405690029, 342693232, 842913123, 349252598, 1007334383, 447339824, 122209110, 685186172, 457705041, 960846620, 340329209, 592214818, 1064333281, 285589230, 17196690, 609432558, 455175634, 666000657, 600327621, 913081421, 458353446, 406464287, 1021934725, 935068666, 312695346, 72164442, 117281873, 633969987, 235519191, 928890884, 668608217, 683603716, 419640960, 567116988, 458876481, 317405805, 521320765, 520588733, 10376992, 130230465, 729821713, 193556336, 917058118, 460689707, 264050161, 320427314, 78600455, 556691761, 394096216, 646271336, 361499374, 582951342, 506369625, 240532466, 739434206, 383266317, 94931739, 975328061, 393678397, 1014297986, 618177741, 397776277, 34921757, 304411805, 396534600, 517045119, 527316002, 682016951, 741031043, 162567938, 575703966, 271903239, 946019165, 595587126, 890840591, 154811215, 702319772, 36479898, 958058407, 346539288, 1065008240, 674245376, 242059980, 1030184867, 276208785, 657217986, 730241206, 903218322, 399746538, 809502071, 265232841, 57133544, 916658187, 1040630003, 926314699, 566411617, 148397458, 220615892, 17399264, 256940954, 158163693, 549295776, 848431883, 77349067, 106879658, 709245297, 854301575, 973895913, 254749415, 530615542, 652241340, 985546559, 138080659, 741744785, 894949576, 885903268, 528991622, 370998820, 304374261, 647550022, 746209670, 987107054, 481950439, 349238783, 253104090, 64536734, 204684031, 419187393, 1022440448, 347989627, 422590275, 6217896, 941204437, 858722778, 865850272, 142609315, 234298274, 299472410, 77818983, 809029933, 388280151, 679326266, 291405393, 21569214, 957488647, 1017784129, 1062571150, 1047954919, 986662996, 791193554, 397016879, 616215007, 545471489, 651781218, 317894196, 483932777, 71758227, 650942856, 662066413, 751425055, 857012847, 451510563, 589414199, 418193049, 418100274, 653216122, 919584779, 1018120944, 1052901893, 280230675, 951716976, 739267744, 944792329, 1054651736, 613912327, 761455756, 595065914, 414489044, 574620715, 680777048, 358571730, 964787070, 946525113, 717615813, 1017768533, 247982747, 1024827438, 310174248, 145943548, 638149955, 106557854, 904102612, 693655932, 721440044, 618771364, 172010607, 1037654269, 347396948, 671030131, 378635764, 866541284, 698735420, 324993497, 973835026, 407913154, 449087681, 373058145, 896224702, 42823094, 862251526, 140835270, 589483108, 235135855, 18095969, 613320886, 47346229, 390371034, 752193809, 849815171, 96676839, 821944553, 946508249, 301894413, 977474887, 619662001, 319439031, 438122702, 398379406, 498722975, 374090297, 676598918, 399817455, 841479886, 927917396, 1071687431, 1051492796, 1055480682, 517815300, 278521937, 370236931, 363747893, 391770701, 711945747, 131108526, 853820836, 577906699, 206874677, 268928850, 221500403, 70782557, 524874013, 240318169, 478385584, 607871577, 561265020, 485630311, 49814464, 273376948, 275754739, 328489055, 625447281, 131172410, 1065377728, 1019154907, 840275629, 903542728, 819371649, 420279789, 832749885, 663535128, 409559140, 267697406, 115709211, 256846959, 91130326, 971526017, 508607869, 919452106, 553742746, 251164563, 250212564, 519989334, 43621777, 1004553186, 18369682, 281560358, 5786595, 633513936, 968462725, 766892018, 221394815, 1037680109, 220612185, 841556140, 316894613, 1058042152, 682737306, 976616192, 971225118, 273540632, 992553112, 219175226, 373087443, 1049634071, 110287914, 399000269, 468810310, 542462114, 1065281309, 800315650, 210986266, 448894570, 697963216, 465740665, 1037624218, 309608344, 595946525, 848640862, 463803814, 655867046, 744625867, 69132790, 950807978, 16267344, 409913994, 350925208, 660455945, 401011707, 857580565, 841571209, 672281288, 273348434, 914738557, 832988677, 610030274, 856089695, 191260444, 232871498, 643283300, 1012260237, 500004658, 405989000, 882997720, 271485375, 188359698, 342321060, 93952909, 462046362, 517643582, 761545256, 1001146907, 279922899, 748101397, 627242248, 541997774, 768001422, 224075168, 233629555, 128900315, 788822484, 614130385, 968287039, 18489223, 951060427, 648167844, 691165666, 882960812, 360448157, 179296580, 520145909, 639829445, 125670338, 310936956, 669528707, 973967841, 425718370, 149535460, 1051140443, 33579922, 1036976502, 441358216, 399235128, 8372289, 1020704797, 56600738, 905578269, 636761243, 387446268, 464721696, 651633738, 763369982, 195225074, 739423928, 200828582, 85480198, 707976285, 78529357, 214627408, 283543395, 933774196, 640189016, 667200550, 946541601, 159663523, 536784310, 501450551, 1030200723, 738217005, 657284419, 68779419, 466601521, 190273489, 640998695, 283652402, 715240157, 34343953, 4424760, 1013662555, 242304615, 107633635, 17729982, 123396366, 324683841, 317378449, 945157570, 659722899, 245480700, 371663632, 10956285, 495760397, 95710923, 131354330, 246371495, 1714848, 860586011, 529260731, 439994599, 668266770, 775143774, 682773804, 684497612, 949999695, 348480222, 370218929, 1068036366, 491642350, 101345104, 1038044852, 935531454, 618242747, 988515128, 188375438, 404997397, 956148352, 286143836, 521199316, 907954142, 491210396, 497579979, 579808495, 204085208, 375345850, 678772818, 137567915, 809055410, 704817257, 59639590, 580045427, 685463556, 595680430, 74455939, 635858023, 104986830, 192299451, 577187253, 75443559, 570582382, 791664836, 445540933, 982353945, 24219649, 66755743, 733795543, 325199421, 686502148, 121204667, 390734270, 777740336, 1064741890, 419597163, 784322, 332747334, 473928441, 747312659, 1036279489, 423007381, 127122663, 813493398, 1014338355, 1006761378, 318180041, 464678223, 609106639, 330797293, 129383092, 203629753, 622263511, 214707514, 93107642, 202405128, 893462356, 62717996, 1016975290, 16503082, 532986456, 657797310, 495248292, 1072791218, 280835806, 52185158, 620734598, 1023450153, 935309283, 345890832, 788196665, 754567648, 993287406, 590885484, 103694489, 292592468, 158323408, 59603352, 403062399, 389314830, 949854264, 853641559, 591948688, 827404536, 426609, 87323743, 402154759, 729141369, 459578981, 1063479866, 854864252, 931102829, 651214910, 274137285, 794173905, 487002823, 853672535, 997718589, 189722067, 967330464, 847511170, 761433228, 702201587, 818081617, 913519734, 689381661, 263751229, 492066072, 330991203, 501188785, 44515903, 747814796, 165230453, 257599681, 380214924, 944376283, 923600951, 874257374, 1018442848, 277209006, 346060830, 682938968, 909612601, 619451804, 515437969, 9506811, 865919992, 327693355, 479786571, 361555250, 566997715, 60355026, 125885811, 1053619, 430064287, 285461705, 138061786, 839688127, 504467401, 296844854, 209867731, 634298754, 916937424, 891794368, 380581119, 348467689, 161234080, 469172987, 645638575, 854054759, 864787811, 195595968, 735224782, 722414287, 772907578, 112071860, 754332736, 594049807, 214694711, 379538501, 2816280, 782967026, 215793137, 153327149, 577591116, 84884885, 427431178, 199765695, 971916742, 808567368, 485555353, 56287635, 710992733, 732773071, 461810736, 581595618, 237889099, 643172431, 623423990, 890302030, 1036339163, 549955474, 791525108, 637658685, 745411030, 228862385, 156404970, 954346793, 1002768062, 319895043, 81548693, 243725881, 451310576, 31391269, 291076267, 44163127, 292990856, 402500755, 752569146, 480572806, 145336261, 735243816, 387661904, 346756875, 762572079, 261218782, 1048550768, 440815545, 861232451, 485189671, 157891520, 952185464, 122702217, 962773701, 492725697, 632506989, 27986921, 164152950, 80900814, 537035410, 648317143, 982158560, 113650129, 1026056508, 539405615, 293533019, 76167847, 1050199194, 172133319, 282658091, 962873044, 691215584, 679374511, 859606402, 638165169, 232914762, 899458444, 734577370, 129593158, 166321957, 568782608, 949575840, 95543070, 638616394, 117363106, 284979784, 961140518, 937736472, 664594855, 144514832, 1067719262, 746354202, 350936734, 822983801, 49950602, 775228060, 603031127, 455589481, 384247398, 3598168, 21445043, 798966970, 634668589, 933643373, 57082631, 449385653, 616483260, 302542554, 24241045, 785377713, 723672859, 779712086, 65241151, 352460138, 186998310, 445812746, 903565244, 149663660, 800737039, 987563021, 730733891, 805487366, 697209539, 241245995, 1071573891, 11190826, 83250597, 840232816, 346490785, 610873604, 253106754, 815780515, 792783026, 425968420, 249748179, 566100875, 555368184, 610971143, 578683264, 427483447, 10636012, 601311367, 699833780, 389189343, 686042103, 277698085, 209173680, 240951554, 854129421, 102537879, 728945823, 642217398, 1024682270, 566199963, 923592022, 260308332, 493636664, 129658453, 96995358, 45813572, 792561177, 966009687, 315435937, 860589957, 378770340, 702342969, 381235195, 576004916, 329846483, 541070385, 271705180, 937772801, 875969921, 270544377, 640576835, 303393972, 661573652, 261792626, 246627893, 984525299, 849908100, 966511685, 539142652, 476640119, 290759394, 808544239, 1072459204, 954423601, 594246261, 3070677, 711835590, 1063164778, 923887932, 1002951850, 596665706, 646993008, 713005113, 178134394, 917006440, 25950563, 859910010, 393722278, 271226827, 833835577, 298014200, 436176659, 427516542, 406183673, 1012836503, 420110731, 640641169, 594587531, 18278123, 943539998, 897720882, 967968182, 21857954, 531108297, 30500587, 436092407, 369575857, 790729236, 114857067, 874862640, 994796620, 85085238, 774600245, 970197837, 453421542, 197338296, 52467911, 444870800, 341910187, 580009705, 297838162, 343829123, 81948764, 1003794003, 737664856, 633418427, 733870087, 841543361, 310848742, 464469693, 744730481, 892695864, 507975276, 1050145124, 946713483, 429549116, 555907285, 736149807, 91275074, 329484875, 93435137, 1069241844, 956296711, 708128839, 860455235, 349722992, 525339264, 276323059, 771650505, 357409838, 334547311, 530524461, 911504529, 253143198, 590993175, 399413178, 1033091521, 431289313, 933282556, 590649031, 941779260, 282546778, 245816992, 1050734608, 898911665, 391680844, 338598665, 117853779, 1015241400, 789720789, 242167210, 928823486, 184144655, 535084521, 819584665, 436680511, 734893630, 100434575, 209403050, 164128919, 869273985, 598429062, 572618318, 562594952, 509453659, 585318032, 216774056, 548548072, 690196306, 261814069, 622134575, 384784234, 53348247, 1058311334, 727203520, 898980069, 990684785, 825162493, 763096663, 777528804, 782672038, 781629874, 399142586, 433457517, 726167184, 725510273, 277410223, 292051952, 1045263435, 426648814, 580396384, 899296781, 708847123, 1033176885, 741327400, 200891556, 317606492, 860113498, 468813101, 41920927, 338640733, 95134232, 380441169, 1034563312, 42350777, 778450079, 332817067, 791896785, 360162175, 359474637, 124911607, 482272617, 324671206, 837815341, 580178606, 325158521, 953879760, 550793960, 292173535, 987225244, 1066484384, 615267197, 121411560, 319671937, 59477445, 1011667181, 641729633, 24049799, 373497623, 87552011, 825638377, 936612284, 880524236, 865366805, 767647385, 780307219, 1056503467, 947523567, 981978332, 474783503, 316093082, 49088187, 282342482, 711166903, 597233064, 391725615, 320897219, 1048841956, 855164838, 715315384, 191953670, 437208033, 416735867, 235128612, 214102363, 218523836, 624561378, 17539528, 255301478, 699610449, 190043769, 81342212, 630831132, 43182079, 819908942, 992509127, 74510721, 875162350, 554413236, 229083607, 993882696, 613538778, 604153321, 652162387, 744396569, 377405651, 425130264, 207136761, 622416638, 570606049, 17706578, 390122552, 1005708079, 1066008811, 662488806, 1055574188, 304892221, 212973663, 577614533, 82985224, 976511993, 572536321, 484728446, 710270888, 571773951, 227087628, 509440176, 989357818, 17406029, 340768123, 20771282, 709314385, 557901612, 717107819, 835651488, 57084605, 64145122, 104632898, 24537783, 865734515, 611950323, 138873736, 473049903, 465188834, 675598926, 1003587737, 72498346, 525736083, 318290964, 147670085, 456636023, 263439384, 7981635, 771161050, 20767111, 804233512, 572554922, 167231296, 116118452, 858448956, 586941609, 435180816, 805922273, 590880671, 1071563293, 219945519, 634418165, 107592770, 243981644, 206871415, 958072915, 87843936, 813026063, 26893588, 213365113, 788373591, 321871783, 1033630586, 268749641, 549143152, 971901538, 513158645, 42835603, 1067363068, 1068458508, 802757434, 801473949, 57477664, 778995557, 1016135501, 544452886, 963628520, 472280777, 297835950, 1023574219, 61701619, 183042705, 673000954, 723303989, 900596162, 979903805, 540629209, 918597242, 360159000, 327183989, 187719591, 152965827, 770350872, 408900538, 658964698, 790994637, 213280043, 920706189, 867314195, 821557847, 911759151, 1054571456, 96130992, 775334333, 669525559, 235812919, 671999574, 808118602, 484382925, 330711472, 82688565, 692046936, 514598942, 663086628, 302642639, 782280194, 12025578, 502449622, 292398125, 1010808285, 936155492, 640846230, 393738278, 40674142, 348552440, 495721460, 645785261, 534533972, 687223214, 797780437, 302494390, 634841335, 881470723, 1019636755, 920322181, 207405104, 238900099, 971161011, 639202671, 226583375, 945606124, 501871572, 544679513, 880666048, 958171861, 867536714, 174545494, 674309281, 1062960261, 993949418, 851695303, 98446600, 41418286, 211125812, 624871384, 1011566091, 834746074, 1049584434, 501215542, 592029836, 776810732, 442703046, 231780832, 75558409, 711127141, 904700500, 772244626, 867031774, 301086925, 957699160, 500876252, 610687799, 143398795, 841533005, 117075378, 667799367, 179970623, 331237493, 748529574, 1060813318, 57248175, 376158695, 607254839, 1015799721, 1043427586, 98504537, 625680348, 192150435, 1049532720, 709597649, 741604011, 230567441, 729338429, 373738788, 57582560, 493907685, 636004142, 1032013100, 979592673, 872436393, 490823485, 87770963, 158628549, 413061426, 833794304, 833676031, 1015744310, 747520623, 196521013, 950244629, 966745442, 236735531, 20482088, 1042669376, 784313562, 96128934, 999870216, 695357295, 128617863, 1018207002, 990774830, 624328611, 557534910, 983593859, 153184815, 142056340, 30125338, 907630332, 255090021, 807711038, 346778502, 899130565, 460857682, 490320488, 1046693202, 416145309, 975629011, 109946186, 32530367, 960173229, 727708212, 608308277, 751687191, 1042272869, 80603120, 687094950, 119673333, 451774583, 905150657, 642295666, 274524104, 851881708, 498957552, 757769967, 982014825, 158089303, 663158380, 65674376, 580606044, 621995486, 665972205, 337894131, 421504656, 165512298, 1073587917, 925448445, 178066071, 659626443, 666959391, 108060312, 9369599, 215263672, 473714991, 540546904, 321667571, 959662004, 944446024, 609933578, 474847365, 685900567, 426502612, 1025656618, 430552935, 328363378, 517190189, 64049860, 276771072, 1054382069, 25415812, 677725923, 395915648, 427443174, 175248233, 1043380371, 627068903, 186441960, 321959345, 11127669, 448918244, 391066668, 370532164, 199488596, 664202321, 428227518, 965417543, 657687288, 828399671, 673729213, 326042180, 82118235, 265840096, 570549907, 336018974, 483487641, 816754816, 551247192, 863009628, 73969914, 232021454, 668740492, 235279971, 654985236, 438586866, 567640983, 577519091, 629834061, 826730171, 12154243, 516712976, 635181129, 800998711, 837703204, 1040991324, 669049702, 15001403, 18937255, 127643775, 207374974, 175849083, 603859245, 222388406, 363924909, 151209504, 457653292, 205040332, 150799177, 515846248, 284005103, 873908029, 639302263, 635086849, 106135657, 45135924, 667293828, 221220272, 93503034, 92853352, 776957347, 75382579, 870951005, 871526154, 190803111, 1043016063, 424353691, 563328554, 492675261, 908074298, 356887693, 814501004, 324268005, 742263421, 108399340, 982617133, 813668683, 211591554, 39624257, 51403922, 103186056, 310504370, 921293553, 484928251, 286288313, 596250004, 59078256, 266500441, 578676824, 260706086, 910570920, 250028661, 787582871, 429421194, 567891725, 905544777, 44002945, 217805179, 388556633, 63189114, 179132093, 718913872, 309656647, 250171757, 735003190, 862978296, 189674799, 551728382, 570174344, 1006378507, 9722417, 442225396, 881947656, 923100007, 263390571, 397096814, 714582566, 577053150, 637826837, 755709135, 136778250, 156127323, 108334811, 952826035, 857345607, 359209898, 558236042, 643092800, 913821839, 341873779, 729016254, 1030277622, 733642559, 760511833, 5902713, 576320342, 454067103, 253011968, 239977641, 733467074, 17934462, 879323131, 866084120, 923512616, 644383580, 68960263, 531741710, 16241040, 197965318, 815615972, 489390344, 1044401110, 977615609, 32441041, 450629104, 298983130, 141457179, 1020663411, 552935457, 10499399, 568235144, 33339199, 731556806, 711604928, 289288501, 562664614, 947594945, 183945445, 246572115, 426476813, 293824442, 156464431, 995400225, 708267770, 997028394, 279100612, 674226171, 752165692, 488476967, 104069176, 119726871, 926815059, 364410577, 963216503, 234808842, 55317162, 443167717, 628138068, 279015397, 616494562, 1068759299, 486690133, 456780079, 820724687, 325312460, 308682059, 900545435, 788347931, 490679900, 852986532, 1023750454, 427314422, 126738310, 931701367, 144492095, 782179570, 454112050, 911398762, 938611348, 566606652, 635726118, 422031931, 184824429, 263004148, 593447777, 1052797515, 603168854, 424702304, 119218777, 68558586, 96420317, 648138428, 31131048, 176958014, 754812634, 249444942, 639135552, 697680421, 958321005, 529131491, 810501964, 1041132164, 24361923, 498087116, 362534811, 585172158, 2138889, 153527812, 177853280, 247542188, 519164882, 398808528, 746127883, 275188411, 325429150, 283237642, 930846155, 189922182, 531508050, 891170722, 609608028, 407856532, 618574371, 870796083, 869053707, 830320290, 185589628, 453794195, 222697934, 439430767, 895108072, 402706726, 906703061, 662037541, 931374781, 62103920, 1011885435, 593286303, 919386839, 25014161, 1069018351, 783730174, 450438533, 694159169, 203455871, 212784754, 601043206, 160804521, 879882020, 279734959, 767237879, 607868301, 432409545, 727344140, 1035689959, 131065276, 6146450, 801061124, 641156275, 316902636, 892260099, 1032999648, 1016646574, 139440905, 1072313521, 557293018, 944333290, 837691260, 690578889, 809835991, 433587270, 768186734, 317654435, 779876261, 990005104, 835993300, 1034112788, 881144104, 285749142, 1030646153, 827019375, 697024774, 598463262, 865525548, 670545487, 49288721, 890695869, 923273586, 983067160, 464147564, 783954373, 74281922, 330267730, 265577413, 990052200, 183702248, 105302218, 1050584997, 772237075, 871607337, 863538452, 178275778, 522912894, 796389588, 774011225, 503145551, 306385158, 94639381, 1010424396, 1002595712, 122532160, 874325050, 796674670, 264534440, 610425254, 310093147, 777129499, 287513641, 188579785, 307410524, 74431245, 305526570, 137591947, 386687369, 295171497, 850658555, 396687395, 395604141, 769531270, 656371733, 446350253, 992183162, 991427524, 1055353626, 142305871, 442212711, 934069760, 693253463, 398646514, 776361562, 511005574, 1047771485, 1042868409, 213554667, 939553634, 95197950, 462950313, 503742924, 267081032, 369583321, 235147640, 91566228, 54088464, 735243829, 671863851, 676558457, 684895489, 601922827, 236064120, 835649360, 236104864, 833022206, 627487400, 505345959, 482120282, 692230623, 915589326, 294923930, 356436739, 1014143360, 764401139, 496175360, 381211563, 982997279, 62690076, 236351735, 172104515, 118527441, 355554334, 1050816350, 709556310, 594861281, 577871384, 561780472, 579346170, 557080183, 70815690, 382817464, 934329522, 929916592, 358835204, 835036963, 496547866, 805643416, 96517211, 216923484, 408225473, 6701994, 997397857, 190023327, 1049670838, 655534090, 285054309, 4597182, 442092472, 373691190, 682550319, 611505361, 460328127, 764093716, 726718364, 987579925, 728404853, 477715051, 428848469, 352940767, 68383907, 435020167, 832037245, 287941718, 1009793000, 802050591, 180094474, 696459105, 793172956, 659930125, 179785894, 631526516, 755284798, 418662234, 357049896, 905857839, 287825619, 60982919, 1054631667, 1068229081, 98062519, 707973827, 1072781413, 542012511, 245210239, 899417878, 59200770, 815336034, 337147139, 523527865, 742264675, 982022113, 493783706, 191709850, 575101913, 775794779, 1035035560, 126095642, 316872244, 163972216, 25947386, 654427734, 531395781, 4201028, 758996566, 1014572901, 149719074, 1012795805, 26418790, 542982472, 851931572, 705247714, 965840083, 869863022, 310452891, 57968300, 633921471, 725604432, 898871633, 772257747, 142580764, 526776887, 1028581519, 637311818, 617974934, 648053854, 814648241, 386508978, 591983470, 884829685, 552829360, 840695229, 457334167, 915630514, 498765909, 203865083, 391981203, 32140624, 201001382, 796930506, 732161588, 499781897, 623376086, 241908971, 851758878, 172106558, 16658866, 325006525, 460698677, 110723630, 96540478, 341160925, 1009432501, 629303392, 339026402, 737582682, 643328449, 174476224, 831707923, 136854467, 552170539, 923204891, 336901865, 850068772, 246503080, 771662816, 469249387, 586658248, 1068668570, 194508940, 434364452, 192438550, 256389398, 768573887, 459844651, 83225070, 1051591970, 259383222, 71752598, 351578968, 41555092, 84516839, 612907966, 838132612, 1048181169, 570683801, 718441605, 54796940, 1056656665, 959284306, 838773447, 926259441, 59272873, 424349140, 552673993, 756684332, 705044622, 747310124, 847942335, 1031711638, 967190630, 836760279, 198151678, 415756567, 1017245266, 218987220, 870877902, 263347375, 7775085, 813724695, 975328153, 219030989, 658274728, 553291938, 216709542, 782236936, 644757896, 850838741, 88395268, 796248048, 864435342, 806024356, 583140360, 341215460, 408711122, 1034496930, 170327432, 666203785, 268683218, 298249566, 973661293, 414763441, 353297471, 862709219, 801301360, 814185438, 352716211, 618832041, 409532264, 217367296, 403852742, 276788179, 262963684, 708793287, 246725393, 662692790, 488630810, 489740768, 732739356, 525112206, 17455375, 972406691, 310885219, 430521204, 637733962, 1030987838, 577365346, 950610322, 628735197, 147572662, 140034558, 426245252, 343909015, 271836654, 75639483, 54992183, 990155099, 112170664, 890545972, 629223035, 1057980178, 147575500, 899575379, 394602632, 81952193, 71993438, 196478091, 76758475, 203584124, 272302517, 181093992, 76798849, 955404115, 220402834, 775834193, 682241896, 938398656, 869131505, 139387632, 856712671, 379238982, 855332175, 465809170, 350274347, 347616585, 1056881483, 761150514, 818625132, 836780702, 525694664, 38783707, 910470794, 344375056, 418386793, 49766703, 203342280, 847744394, 333123924, 825115015, 856041514, 1063747147, 188558514, 91604183, 290067519, 294584948, 381082702, 375389286, 654100060, 1069459690, 243733680, 902774347, 631056351, 158889561, 408663286, 66044045, 500630377, 343523439, 1005620888, 849208403, 312680470, 577467370, 838476747, 56391271, 792046613, 300236428, 11021062, 204015168, 360273695, 923489456, 1043593410, 281386609, 102104684, 45052545, 846436046, 744771705, 506325648, 521241945, 959146233, 86900813, 18038932, 779828687, 1026673708, 63393593, 126576183, 419383934, 971356184, 922362159, 986820214, 467060737, 775989793, 663292122, 656713340, 568324831, 492924164, 583968484, 550058339, 535492539, 55059885, 727256730, 78725125, 868512616, 1044384678, 936112719, 766643107, 316106463, 269747478, 487758539, 928192400, 513767959, 166807154, 31190843, 586520908, 736238336, 251999899, 524560772, 256869146, 1069076148, 293810696, 22823517, 938890536, 238570187, 105063259, 70140553, 261478671, 1013856783, 171725706, 273186126, 369013762, 852031481, 96600949, 863346249, 748260958, 467173082, 472897015, 846011372, 828303918, 378976037, 743980677, 292070608, 761941447, 993301187, 60318187, 867562952, 525361194, 929229021, 354770782, 18816823, 548312284, 79475226, 1028754760, 664680919, 768763907, 490455672, 824910359, 179485634, 774467813, 610990579, 119381599, 246647802, 970399114, 543452171, 754045383, 263574965, 507886388, 29908171, 393213624, 394686917, 606928121, 297525875, 606271194, 849580798, 661387768, 258454867, 86232679, 165674295, 181387069, 365042727, 782794529, 735931088, 528205132, 594808423, 485059799, 780555991, 332522761, 260876388, 1071283425, 751068841, 598569535, 356644856, 773324938, 882453345, 258849971, 139160306, 480544547, 729886286, 314657329, 514008296, 907426775, 593608645, 116195947, 951167508, 336552215, 525854893, 707169051, 860529475, 809096086, 994130918, 498302387, 702892403, 199713969, 553983373, 72408969, 24450695, 248488852, 481593896, 781092541, 625591563, 703575771, 433293060, 752085483, 49169266, 550978945, 107946653, 208495465, 622560536, 411999378, 561665207, 844943567, 173903635, 274165637, 941926464, 151035260, 322812072, 247836906, 163325484, 746637821, 911635548, 104048353, 344498451, 296813247, 780295025, 404449745, 861358842, 687978226, 243373858, 822542159, 444092856, 85800137, 704654389, 846573257, 727023739, 485725797, 1023265579, 365552999, 2126907, 1028894295, 1027798402, 739607675, 959070594, 862942193, 308884008, 633651564, 915538373, 203156728, 764479903, 100794826, 132122477, 134744358, 980928856, 73662243, 91924559, 685679887, 390993887, 214564619, 782741189, 332567434, 984543195, 109558686, 37959959, 409692602, 309138502, 217756526, 856571661, 359769565, 112824269, 118267022, 821006924, 417581275, 588265077, 256994154, 814630554, 158100496, 598044411, 992644868, 488635124, 652185376, 1037811368, 510964175, 947313217, 256137113, 775165774, 748953209, 519221529, 779326914, 883433905, 830553003, 960488150, 121730291, 860994193, 262263251, 876684105, 535743529, 272640044, 765228576, 1036514778, 462336203, 349818339, 512506512, 412275113, 110997174, 1004964156, 912414075, 1068343673, 203980790, 852421060, 974077435, 431305456, 972010527, 1067866610, 1018185946, 461232915, 799909510, 335409869, 299074223, 827094989, 812755923, 949699454, 714516390, 52545166, 790746194, 347676553, 325313001, 84069079, 1019077830, 472552284, 457122226, 315379711, 400450927, 803796840, 152030154, 890536666, 430609109, 522154180, 345096042, 654798383, 1001437471, 53672104, 848717763, 210955183, 366581566, 627027448, 362080362, 841290085, 1066281611, 854838268, 271083756, 560681775, 87810439, 841403788, 587160567, 337060989, 206462491, 774461384, 744146124, 27112749, 836590669, 1006893796, 1026553546, 1025124321, 1069172482, 976517461, 79125063, 329685542, 498753743, 210201293, 472410630, 668002524, 730297952, 397626574, 946507069, 170391179, 1049303008, 742041990, 880232556, 101371963, 433711993, 594792387, 273530691, 312058125, 767648582, 970106180, 938093790, 581414439, 160827987, 737359545, 696109889, 123378535, 668272591, 773376239, 352008734, 167057876, 48776101, 378975624, 166596959, 1045635887, 730527388, 909364348, 494370303, 670941835, 873023614, 572621136, 323201751, 839751883, 611779177, 555713152, 622757530, 94996314, 320941554, 547665989, 705136614, 1048965152, 195247560, 26727197, 364680862, 695511298, 71628681, 155748953, 204280633, 1038493176, 1064154752, 304172934, 697149584, 977835136, 800445793, 185762783, 215099101, 662070456, 846065836, 571391126, 382394116, 847922847, 849622912, 927243573, 161432990, 948023852, 697175958, 564451312, 765909560, 286191240, 1037567765, 220754939, 458704064, 18230914, 879434704, 589812317, 596433414, 525017789, 225865357, 693613434, 42962154, 294962277, 862525389, 530293833, 677893631, 697515519, 1065309718, 324672404, 983297635, 864505780, 956638995, 346343420, 976605384, 210753227, 147781812, 405079891, 849652376, 639489488, 745670826, 925069917, 243775863, 974124210, 797664895, 1067891190, 420705145, 977116198, 12774549, 920198890, 958347052, 118519671, 286729086, 653316721, 344583527, 991297010, 582246394, 759724176, 665958945, 894137017, 948325308, 705506448, 22046877, 1002716608, 518249020, 920538528, 425422523, 225949017, 656551654, 937083524, 408122082, 148602151, 33892387, 95096493, 686412832, 40046134, 1024778574, 688839570, 639530596, 656886177, 934325110, 222258332, 917598390, 601511714, 820679287, 568831453, 160735753, 262214825, 1004802974, 528948596, 284354853, 266217724, 1028132523, 652240060, 494376427, 61451903, 665174505, 264702350, 995913791, 113515896, 550594160, 833553908, 584827696, 12792421, 134776312, 750320210, 160243395, 904394041, 919480373, 811513731, 722982380, 708097243, 168068989, 915309341, 652112352, 143725497, 969397165, 595373164, 213061516, 908280912, 683977377, 3310583, 731735014, 233827798, 125948416, 696332712, 31505738, 713755557, 1021542780, 664627113, 5617550, 1032112382, 618047001, 120907690, 696855790, 377906714, 130940814, 515223970, 873492014, 85624102, 843149120, 382045700, 793482006, 190211722, 950419847, 520202999, 685771032, 868958255, 675560447, 417928631, 608620323, 350484341, 736264359, 226292867, 600546799, 68777703, 278538651, 865464464, 812726574, 893596401, 534415298, 869489185, 712975157, 325945673, 864940558, 403786568, 598224946, 829477865, 739896469, 573669558, 60095071, 524538146, 780549424, 444496419, 666216277, 70403123, 17313801, 195004287, 88582326, 472695533, 280776026, 22084476, 379525769, 687297440, 228343601, 933477618, 682648829, 569239573, 1023195845, 990286704, 826606044, 90535560, 849081176, 70776360, 978443353, 637114330, 281505487, 745383260, 135127433, 672998445, 748892001, 802821593, 64744482, 798162982, 947367944, 77137554, 373681650, 803451609, 666718588, 128584198, 2220271, 19681557, 627852830, 792035847, 540897017, 1064151094, 193829494, 763246621, 315460453, 593338176, 287096256, 736675437, 806559328, 971451691, 28721596, 798289422, 424940316, 257572919, 756264330, 263350274, 370824126, 212951200, 556603851, 630046727, 420532979, 712621030, 775715842, 240933254, 405277638, 395773121, 172700305, 98416697, 866646481, 561961234, 290181707, 1024288618, 719426737, 857934794, 546326691, 852074752, 448416352, 411393177, 543425642, 756075738, 294166772, 411172868, 516133970, 119009648, 531083402, 965580713, 644609779, 849769643, 53220622, 241345529, 758521228, 817680559, 1042827501, 339036350, 550048609, 595125258, 365997239, 981841526, 679538806, 751236256, 338538225, 739578253, 731939324, 401305790, 12467877, 553519212, 692328819, 140622268, 1027238037, 923944447, 289970831, 1035096120, 196191050, 612316282, 847256259, 966448424, 951532045, 184435636, 357634723, 600699304, 785546101, 220897371, 551106946, 59137067, 536766905, 217605718, 716457821, 645026054, 619946234, 1019048724, 976810981, 129523411, 917135010, 382709471, 950559625, 666989043, 439301078, 52031950, 747117769, 777590960, 46604695, 1046841905, 582499340, 7616980, 1027269031, 983942860, 688945244, 499632101, 503642625, 733112952, 1049640844, 6969410, 966096302, 95415431, 588688980, 942369736, 869949951, 631787579, 174155314, 775443666, 447965334, 239223296, 347242714, 601966258, 666840154, 385034400, 798341088, 380229381, 509842601, 688531945, 705641837, 962162913, 347234163, 458877741, 820623971, 628706685, 246723425, 1068304802, 457248561, 479083962, 717453121, 654746510, 356473858, 71935263, 643661800, 79259823, 187202263, 562931536, 322923911, 804138652, 368599256, 793521283, 946578159, 185876834, 861789736, 46265344, 535600117, 770386152, 479719478, 387227988, 928493456, 88089529, 657106200, 132822031, 865635522, 1059495502, 317353986, 662460852, 925432207, 173055165, 440825970, 54282934, 197405019, 1001384687, 387442091, 654663427, 1039501501, 507970915, 619960643, 1030006408, 967316402, 172149405, 949424815, 211750260, 701491192, 900813568, 283426258, 767882635, 724110524, 1040931657, 209448511, 129086476, 920720430, 469451758, 760813984, 489228762, 839464664, 23438938, 325830004, 183647795, 780165854, 1017237107, 284319637, 205120984, 486260993, 640313022, 275031450, 681703692, 972102018, 1029785732, 866594262, 168961423, 92355496, 725929001, 169885037, 1026156197, 37063502, 472501393, 794567832, 933342319, 531517547, 140953893, 1069842214, 483709129, 788043649, 761602942, 453860304, 640240687, 992111890, 260543492, 419889878, 751801768, 781941646, 584270197, 152563763, 226173196, 284950855, 164285878, 793221182, 445265463, 877910296, 35090333, 307784060, 744935047, 340851150, 540692227, 750733866, 466659477, 80913162, 853731017, 524301553, 586366485, 469590131, 105219843, 1041999955, 187846541, 749041055, 633050314, 817947963, 137777489, 843815575, 398869333, 859497685, 672393539, 297432268, 315221833, 276978804, 139223003, 1007068335, 358500066, 37270279, 746712062, 95868466, 68446315, 771372273, 123526883, 874533898, 86721211, 105423075, 505901981, 737713110, 372260818, 819006094, 968953267, 412304720, 1003803211, 244718392, 1000809673, 224141355, 204086576, 575080126, 429724031, 373520267, 253024898, 756792018, 30693580, 254144640, 858155636, 964419755, 1052976299, 401182142, 1036842914, 151387321, 264494187, 981793432, 763834720, 599160446, 1036172021, 681067927, 964461323, 728343241, 805017917, 56227841, 670230395, 345556530, 269027493, 77233982, 196223113, 53413302, 1072690610, 462260996, 315010509, 30952099, 98574499, 712239700, 92892747, 785640884, 298864783, 457477352, 636010197, 668859124, 284048283, 979549667, 893959900, 819617302, 1051474113, 943573238, 131638857, 15879181, 403468368, 96416659, 977939907, 594290381, 619581910, 641535169, 896051560, 230934202, 862907464, 849123051, 1001398779, 535627898, 677694772, 1053037795, 485186584, 863160269, 702347770, 560927037, 582172160, 43300702, 987821213, 273745629, 777155685, 822350298, 771099817, 703850273, 18879836, 821142703, 101667785, 55007969, 1055259031, 528602715, 531592780, 998521240, 660314611, 373368153, 682215288, 403336804, 329596818, 135446604, 1018360500, 675447235, 127923931, 544165762, 900654186, 108067733, 92309295, 713650912, 741048518, 160815275, 1031282929, 747766386, 447911842, 784335815, 705949099, 33958880, 879400424, 54945888, 470017156, 988389142, 232495731, 253247012, 920942508, 349136072, 588494898, 757065705, 511468324, 239496759, 887376415, 733062896, 651370967, 1056710715, 325713929, 834381478, 770700454, 335764125, 570756776, 1022432067, 458967196, 452919198, 84631055, 528463698, 369945926, 129989586, 496785002, 968189308, 713110447, 367791818, 907620264, 1054178154, 517530062, 522104069, 555674662, 113374030, 857713910, 44515680, 194948702, 175207509, 423249151, 310516952, 684885394, 311518398, 836278697, 576385512, 444039722, 705528427, 22329988, 414790272, 648045916, 697307170, 723672846, 913606376, 870255126, 605722765, 448174176, 1071790291, 808551529, 389089114, 291606784, 1054877532, 549483364, 1027974489, 138714088, 567301330, 774943545, 306409776, 548451250, 171304184, 1038613237, 507909242, 128108672, 143722894, 1004123518, 556799147, 129265356, 1073640757, 802170759, 813456737, 115181358, 1029544289, 59034335, 434583639, 199137061, 576841388, 939896393, 267538471, 794812278, 34727901, 1070457709, 959568144, 168354294, 547603392, 939836785, 789588257, 550500985, 734515377, 775749958, 716580221, 742278226, 139338503, 92154636, 513867733, 885329736, 480426526, 873191774, 1061683006, 224017520, 426618753, 769516041, 156022461, 635086306, 201021761, 111123669, 189675146, 785064856, 527489672, 929657158, 231290680, 506444928, 316579080, 768348290, 800363184, 916691712, 806981743, 942049169, 510654274, 568043607, 604367678, 941371967, 488627899, 599037378, 140145205, 664944327, 282285244, 969210179, 248587034, 908474090, 107586109, 573023375, 316014514, 1029266257, 905718877, 992568188, 953607521, 190114685, 688241568, 167422731, 958907333, 526300335, 860010114, 921895591, 525940084, 833074460, 319651285, 931172916, 383208344, 952089987, 617825449, 495592082, 1019570108, 688018066, 177256664, 1042538988, 349116891, 866915981, 267301522, 750615020, 772330219, 987662334, 374913709, 904033816, 454808259, 297406089, 89483744, 707096870, 336327752, 486824872, 567297621, 689265840, 117033629, 706380235, 636739549, 506323919, 339354428, 731663178, 557562164, 337600351, 425850943, 1068392446, 528576261, 809070836, 274094236, 574221118, 114306762, 88689903, 579275232, 921743404, 160603375, 351666828, 484611690, 314282, 596761491, 775843930, 600581283, 144359519, 708040156, 674446788, 933373314, 852357598, 565079577, 926157092, 61024415, 963752272, 979407213, 503835996, 696972480, 688230496, 766238509, 38996184, 632398146, 323015330, 459961202, 183878962, 84028771, 546526108, 182294524, 264734481, 309263765, 341915388, 195513607, 388272173, 651539948, 678094496, 1037640863, 955913916, 333178088, 268955532, 424487667, 314028279, 612502087, 554092075, 509838554, 820025417, 60298476, 929393535, 312085753, 294875058, 177667745, 479638326, 842723982, 1052747834, 558962739, 980638818, 931167563, 525613006, 301270619, 790626745, 808655355, 104570932, 721614771, 1041998418, 317623288, 508219474, 908491748, 599299717, 873012956, 992881700, 989211714, 150733285, 1049724943, 135967834, 633004929, 812135166, 582579403, 136539772, 237834401, 720215591, 181013394, 801419480, 418875804, 471308006, 551194993, 462268034, 966059953, 772527475, 310244921, 871360603, 139467379, 155064093, 858219131, 793447794, 1001093814, 492373442, 905187859, 423159110, 759730827, 301548994, 693329757, 507211455, 733021029, 1029266988, 965689573, 240007667, 401523428, 148589836, 1071378829, 364561443, 715235909, 34187613, 862484344, 784746638, 707222575, 650720021, 821426402, 585118148, 483777181, 303639952, 888868529, 1044860961, 934976726, 415149790, 370483270, 126958123, 1003214533, 469634098, 769996083, 734336936, 105403156, 205835405, 306051310, 171232426, 89749289, 994673489, 79851398, 339032492, 55500745, 804102048, 922376174, 604199562, 531643611, 778704300, 1059424247, 917271710, 367338502, 80143722, 86449201, 139662822, 346737830, 122677750, 1040856025, 378385358, 750540148, 472973921, 924728055, 731353958, 888713518, 163581358, 899660882, 128108506, 1007475365, 128371586, 909925462, 126296372, 317211014, 746449798, 243856463, 262380583, 236642733, 815538939, 570017021, 158750664, 672356193, 441382759, 864355214, 1020558219, 196284963, 584703369, 678235839, 531959621, 944501278, 688858091, 271461815, 264716231, 204770269, 478094572, 900607546, 251466097, 1038212560, 772118583, 880279223, 590550178, 764467865, 148446235, 854844928, 724245486, 500155403, 704544381, 57118090, 122922308, 888481060, 548660295, 482645314, 279189642, 70559561, 273745482, 765175145, 49338408, 56421779, 382567023, 23794138, 895051371, 920302042, 672697544, 624931229, 832308003, 390420565, 783006684, 73662272, 149746173, 674348542, 505829754, 165715197, 576697520, 1011038694, 617931517, 1012423344, 205193203, 745691436, 594405947, 510076284, 893719962, 464103740, 251460027, 158367878, 170451345, 51450076, 716003894, 1047098081, 139462898, 163786789, 30948706, 959950180, 951264342, 1049721594, 914023874, 505454773, 228386237, 253238321, 491046216, 1055754379, 987063234, 640961220, 101906949, 656209171, 72142371, 325837469, 1061867669, 908224682, 709447588, 672212042, 718785626, 1057516575, 988827796, 512640618, 284121290, 67545760, 605012613, 741202204, 868458074, 808786170, 678650353, 777882337, 357408980, 915258997, 444542224, 814074826, 372863231, 546833997, 814750075, 689965136, 234872392, 614880553, 943715516, 75840564, 869042369, 406824788, 777017522, 786813208, 14462391, 276217370, 85911534, 245457661, 528142994, 158325300, 455938648, 374283706, 221371833, 782132639, 1029273448, 1003223769, 712355639, 416766333, 261817273, 338030930, 702849568, 856546399, 613281126, 92538797, 643356951, 232013546, 596088593, 771281656, 837225209, 667629909, 625508964, 222568091, 433712431, 1057267091, 752666408, 906420258, 1014973360, 1022273101, 115182396, 78612733, 1032017589, 145988633, 589537672, 410980578, 652588641, 642984254, 373349277, 1043227846, 625501994, 617295676, 547633549, 841339988, 890147003, 959046296, 1069971872, 63603126, 825795448, 197156280, 126041911, 725400049, 159528364, 984903468, 542808062, 475382678, 422131537, 721109773, 987534613, 962180323, 723693483, 643529884, 427640918, 983873425, 747640209, 88259526, 60403509, 815963593, 581336651, 440915518, 751905394, 418263109, 20529582, 688976057, 855573940, 564048595, 573851891, 734526160, 681855873, 401180654, 264792612, 679958660, 1067389420, 1058726618, 638681415, 718378349, 775590283, 338124506, 425950534, 896722836, 33614314, 278609685, 695282564, 768743784, 198423565, 285423346, 921094133, 695104194, 30695835, 478735137, 193227649, 143179199, 1015214081, 539181259, 939052265, 740986133, 287864391, 738617914, 640707599, 845171865, 945815122, 179309070, 124857135, 995197343, 343471624, 722526304, 826750923, 533894181, 46354047, 304452630, 24112312, 523533454, 276506873, 676942443, 431208647, 438570108, 688315007, 457029990, 401383067, 940123848, 687046017, 863696930, 531435778, 209069099, 206117713, 218539137, 332236019, 397984582, 172915346, 227273267, 577617715, 63738956, 1029628138, 1064551898, 701780574, 836504435, 203800812, 491371981, 703149541, 173427601, 422183781, 449746655, 930810494, 573436250, 3727880, 76783890, 383448498, 914652489, 711128516, 119391255, 1036190202, 883215398, 639181665, 169247644, 962161142, 655676577, 944481074, 175325451, 1041232153, 230506629, 825536035, 827016610, 696971171, 7115102, 157295875, 651874695, 94413026, 64339868, 835685685, 715005474, 1018946327, 599019020, 213039252, 463520295, 281436619, 781828407, 813421110, 235772640, 640909677, 5136605, 1021689910, 406433585, 342437845, 933609317, 493544029, 933935396, 291837196, 671735826, 801337719, 335977703, 668660322, 594992523, 621102666, 126740329, 524637377, 457002705, 604601054, 1034887788, 1048436984, 19262946, 192817016, 508085335, 320159546, 838015697, 734510784, 450819263, 366402167, 719777757, 839871831, 1002451818, 1071487868, 680455772, 981263178, 612896194, 965597801, 1029184021, 959123530, 816096827, 378916677, 722022262, 208780102, 968150267, 247320671, 38541748, 735865791, 435935291, 955726958, 522448948, 122756721, 1041024858, 461658882, 363342785, 1013204850, 673171218, 462106282, 943833703, 543517941, 747245184, 34628614, 574058704, 327689432, 515085208, 1000763686, 364814712, 1070092177, 638392799, 915589835, 217496699, 542305239, 63860252, 805276585, 1040602292, 980745536, 871295020, 68482727, 542079561, 1026435790, 466828116, 333759885, 509423427, 407406531, 945749942, 862023250, 771282194, 872543128, 102853192, 886803363, 331347862, 980809238, 203623763, 553012784, 533797581, 856742285, 21991626, 555905555, 74189043, 354018222, 529747391, 95916392, 61143920, 1045698101, 934935267, 436926226, 193868348, 137482065, 1040519412, 591237364, 207030381, 359271180, 848252014, 856717179, 694544087, 1040319805, 272966236, 137450019, 330406195, 913333425, 108032057, 381366101, 540430074, 817952067, 604243568, 609870774, 639142609, 569878263, 471351149, 757889171, 157064032, 597048791, 963305611, 1047742051, 238598217, 1011567193, 983735445, 863925688, 428007308, 204265696, 850152854, 1039671698, 642192315, 597699756, 572509831, 654838749, 118504800, 262333750, 867513323, 498188265, 412098965, 877956939, 133925931, 866180582, 13043153, 391780437, 264091426, 888885929, 585734423, 627092298, 318160517, 725918912, 92591222, 593208610, 949597341, 359096943, 29942656, 579538741, 194002439, 446890898, 842516261, 127439376, 808281545, 382743038, 1036874961, 263646907, 344555275, 749830978, 740813629, 830247795, 712141502, 83705453, 469247168, 259134328, 252805458, 10583027, 229149172, 622901289, 221524429, 805366680, 10911190, 494005580, 556946551, 310068708, 968776906, 719925869, 530584486, 96291564, 467006692, 997500286, 632919216, 458900152, 957960439, 353325961, 797413430, 495066079, 806195209, 1011516885, 688624028, 174177593, 19278406, 66286536, 106385177, 793831853, 214128555, 1070953388, 729411327, 847785574, 269383537, 277315214, 677841806, 937878871, 291203674, 593220990, 112573128, 975556127, 915871570, 46904340, 59490349, 640479277, 935271207, 1051621265, 655920820, 271662322, 976013146, 991677907, 192086430, 257939818, 499425520, 1069902256, 717594283, 657671933, 1071439039, 372741524, 687106728, 263167225, 864150587, 302843779, 87027776, 683938359, 1058931737, 288506060, 983938229, 620565428, 525846230, 790552380, 599631693, 1032003484, 941916600, 1053308798, 832967744, 533826922, 1038589013, 21726530, 103900445, 608031633, 684477784, 17011949, 325919984, 926315687, 980116565, 132219795, 101738376, 143484546, 284619862, 631068547, 1043174687, 251928015, 985504715, 524256140, 974214556, 113933273, 946222516, 379888826, 722431506, 745125107, 681061802, 702322132, 669233549, 771387137, 950463659, 437572314, 816987438, 953127281, 809960414, 567984317, 473742010, 564276770, 670740643, 965170694, 4845865, 436451983, 901078518, 872575303, 483190269, 749736187, 819475527, 785219928, 383082617, 399745078, 37766989, 797497669, 1051542680, 415962825, 728557388, 694609312, 800255715, 157966785, 154642667, 1000446630, 1038709177, 555684430, 284450003, 234516773, 699371733, 430087675, 572729578, 256578878, 711785268, 440738064, 734786514, 403282628, 572112589, 145760635, 73025550, 310470190, 76332232, 632735138, 379257295, 900507528, 58750690, 71929888, 724543574, 536982183, 38011282, 914682923, 968235405, 688758027, 790328921, 875621143, 645411899, 662382273, 748488584, 224215651, 446306107, 1035138404, 592158354, 450900826, 724604265, 135561743, 282523782, 992961809, 547608897, 474566296, 330562617, 294815966, 740727011, 848661370, 299084476, 458996270, 942080316, 37998058, 262741333, 195547794, 693725580, 316713138, 766786013, 898678423, 864500632, 283173169, 893820216, 1044147146, 387802352, 228011083, 1048854602, 428779064, 120382420, 613793320, 490702550, 796523285, 526206493, 288304882, 992102796, 550921468, 468141334, 118335453, 759580436, 785290990, 329564850, 683287601, 618253474, 403434324, 332159519, 845941806, 879917808, 104020604, 947118970, 1041646802, 1048091884, 614145806, 209019183, 445518807, 564674130, 91576422, 198062287, 113748721, 557409471, 400223986, 579269442, 820382306, 583792253, 930454328, 695968414, 378058842, 499168104, 710528075, 25397758, 10834289, 353915154, 966964656, 309013930, 636106151, 569640610, 582542033, 59145553, 392233188, 942923151, 803603254, 1010962720, 825142828, 28821178, 347644953, 729060774, 752665988, 342081988, 590931636, 249655312, 280890034, 95007994, 169427560, 322683411, 636952104, 108435694, 484666794, 93538094, 597882199, 201997957, 1014379815, 843390204, 39071725, 367601142, 791440426, 196108102, 412709808, 8861575, 356087243, 375824536, 944981540, 226114476, 227908635, 533762629, 98253541, 536654942, 928780387, 979540355, 261618262, 318906401, 976465168, 612768687, 716573645, 250800845, 438292115, 568057899, 22601341, 716001007, 432162696, 2818151, 834505794, 260383282, 627968933, 968614711, 778085886, 658114537, 409097671, 319496180, 290210298, 104332554, 701977822, 873823064, 427572338, 17842933, 20554542, 54134394, 933618772, 771601373, 1026171199, 785158895, 530080791, 260320978, 862410871, 585601821, 149045809, 967883188, 511079409, 900869884, 64438044, 152354940, 383337324, 677846038, 265136052, 502887352, 819091084, 91272316, 881548052, 814148165, 224209153, 549127678, 271700788, 304091, 72266683, 27122453, 113227189, 670369886, 666526544, 1041664999, 829876737, 776706499, 1071688819, 74930487, 776403401, 374358665, 547728992, 233716539, 995906352, 103644880, 898803936, 327803414, 786186263, 866979748, 58288024, 540584350, 941128588, 678560221, 1007199288, 196736329, 332201588, 803507129, 381474433, 518692399, 43092299, 438133662, 603839336, 794869793, 806466614, 246526764, 799533163, 929223497, 949020863, 918086684, 690980555, 641321939, 900495020, 169572947, 892897958, 395221040, 1002905942, 209268458, 688293212, 334553296, 799958392, 240626275, 338419047, 1020586476, 530523446, 84812388, 204333616, 56631294, 981851596, 1032911804, 1041197053, 91341277, 831579006, 49420285, 297929524, 532878968, 117950149, 21356853, 630285839, 549617918, 389344993, 602800943, 131815032, 377704431, 668816311, 379947388, 321524381, 565217765, 327106711, 669080159, 361647373, 200122141, 924987907, 349261449, 749847256, 477072897, 181531511, 575510856, 483418186, 713292327, 338368760, 824850428, 126795999, 820161152, 737640344, 126412055, 314007889, 455805256, 795704888, 993738752, 553097470, 74574657, 790772251, 742371725, 569438140, 111392050, 133371308, 241296792, 894222444, 401411077, 834717123, 616614738, 271991267, 364269683, 693775336, 1064236794, 211293475, 225750688, 480838179, 760806, 68874662, 193109370, 93301850, 565076756, 26658163, 332053607, 967979271, 646793807, 881321015, 786242010, 1072577126, 1057352111, 48496288, 833023838, 121663813, 442418178, 834916604, 567257577, 130501617, 311770106, 885530790, 958752624, 886892718, 35930969, 561418937, 482056341, 806483251, 1049987418, 13829690, 224318291, 953214789, 612603223, 836464150, 433085058, 287204475, 661059959, 636900289, 630201480, 994076351, 197061742, 932130046, 506634715, 644651741, 409564829, 1065556559, 879658427, 140730810, 1005183145, 184580155, 18100203, 915555953, 810704460, 913718240, 1011131838, 567886292, 581091871, 71769421, 735556524, 1032336898, 701539991, 698488962, 844377940, 408302966, 426519404, 761597713, 698465374, 512635424, 735682902, 392105569, 956865179, 307912211, 360199508, 701989876, 435783943, 920764285, 1068277545, 1066471697, 681579320, 893626825, 356985532, 972937447, 830253527, 665663499, 199770905, 988953305, 100021673, 54858489, 894622753, 362073367, 289447900, 1029418744, 123312753, 982911700, 510049818, 572889482, 15737431, 879548343, 195270534, 817867881, 644223143, 906221148, 192021198, 1032866955, 413541398, 487197565, 139176009, 91774771, 874218495, 891604913, 223334127, 820700766, 435226195, 615024278, 503120239, 338238746, 856834134, 480208501, 325374586, 544224871, 808714947, 624144995, 82023115, 678057084, 506891579, 568535093, 479495469, 685567935, 216622168, 912094057, 706999752, 373117848, 182495438, 782884937, 81617866, 56458184, 39976595, 811995769, 322206216, 874937951, 654898730, 958864522, 881833531, 1060717218, 924660515, 571340812, 239959687, 710703222, 740347291, 705757835, 639291171, 686566187, 545471964, 267137179, 465938782, 312466058, 307134079, 895760587, 781477099, 99507771, 228337232, 942598974, 107979783, 323706803, 366770716, 619936475, 591370766, 308250632, 928757134, 578301957, 641314728, 895302771, 870957767, 350862016, 590129224, 842956838, 649397558, 322973443, 139981062, 592714438, 280861450, 399174261, 863128922, 25585070, 642100995, 321208785, 80652321, 901952299, 835938789, 241075399, 584788189, 883102855, 36103689, 872512861, 131963834, 717351355, 319615941, 244542622, 339831290, 826432949, 778978110, 239642935, 559092440, 1003245092, 37467198, 705272936, 821858556, 485713591, 3033522, 459835870, 164038733, 794684782, 333174176, 25727209, 1066788235, 797446322, 1003326985, 238257947, 432889161, 180616872, 606736623, 777279657, 615892421, 915072423, 511986033, 1065663829, 170762945, 479679332, 278125474, 212895464, 389695696, 683445048, 534497274, 353512492, 416106792, 517574033, 416796992, 541034797, 140028931, 454857833, 782470442, 318254405, 969709941, 978263244, 335154846, 248605920, 239327931, 171047176, 801314, 39151144, 944664954, 600367483, 333192850, 858707501, 327057127, 58972466, 137911227, 422116961, 152112453, 526887182, 826394288, 980368938, 763634919, 677314176, 263972692, 314240396, 874730050, 822661621, 231561191, 1010640110, 921570042, 732520878, 266865787, 152009595, 858072273, 167825363, 895887959, 787360950, 118443176, 711804737, 53638390, 298899609, 562894878, 730195286, 252778418, 733892035, 1062446649, 990059654, 906490697, 15945893, 520026337, 700275539, 1049639534, 454193286, 463192882, 921081419, 312763738, 250560404, 187143026, 398626584, 663935034, 1010377630, 211517290, 523888482, 66538652, 343533083, 696571640, 519260624, 750013207, 1028566536, 882672169, 369843395, 879996846, 843229072, 201182918, 249768492, 819196571, 196309501, 349383519, 669235655, 393507412, 66908078, 873735905, 122845178, 696805599, 548156937, 386414341, 782955655, 173962553, 397876734, 677555697, 60390691, 658745990, 637424799, 727570320, 522301067, 984853150, 1065434058, 475471570, 466797481, 100155940, 415951910, 684053649, 369851742, 303110908, 371596145, 764185222, 1048844242, 288050818, 1063534425, 57383237, 372302645, 575906894, 801567016, 1034516217, 216906263, 585830087, 240541659, 753984016, 266702108, 1011298491, 436463573, 224708650, 897433140, 204082114, 731138729, 162725483, 846725520, 952094971, 16320589, 240090926, 77680094, 784439825, 797025067, 673359182, 1045239275, 590945650, 415139649, 195271385, 452253546, 264993557, 242974269, 122262121, 950202294, 559636275, 66414230, 904777942, 934197693, 130996800, 419197310, 536679593, 709960802, 371344969, 1009125953, 11139751, 463518788, 178145786, 912080936, 957277502, 1011637969, 981387081, 911366673, 771370230, 458968979, 9699112, 444530583, 625636146, 464806795, 1017185639, 722635384, 628279536, 827805818, 839572890, 452546864, 625891959, 794383222, 1006405304, 663031517, 972616756, 776935191, 120921464, 1037019415, 820125996, 140584093, 48081858, 997383311, 836239003, 993746446, 530201677, 387410901, 1045622441, 1021839517, 521418894, 447947178, 106391479, 209836709, 585246773, 981879343, 995636512, 320710863, 273808365, 550656683, 543046901, 48108333, 634141905, 397169222, 712239521, 1018130646, 762766184, 630663283, 414767600, 321677176, 180052492, 540966454, 98805828, 864341843, 624976268, 683590995, 342716242, 869311034, 495288330, 643606527, 412905984, 303548557, 723322898, 994312081, 795188488, 477896278, 957352570, 1005466548, 1011517437, 522113357, 999340159, 281763759, 445897684, 901271341, 51565672, 533336946, 909163289, 508036906, 697106191, 106514237, 804442555, 536234532, 215704157, 509274631, 498582302, 989408706, 339825185, 106377056, 354975375, 80377734, 209081779, 457412376, 200715486, 733199997, 315554704, 865256303, 693547852, 391920291, 581224305, 892535662, 618473135, 59424803, 972542383, 827977846, 117406836, 717031356, 1015258217, 775107740, 770283690, 441604505, 640048756, 872342112, 243891042, 1023781419, 716321044, 950073028, 966137078, 170540380, 1055085175, 559312719, 269957341, 644973390, 196662036, 843537270, 1025866369, 904763376, 389230768, 306905226, 108953451, 344753050, 266259237, 128204237, 893007330, 1054364095, 221952192, 787087187, 678022420, 112177392, 1020994598, 422059718, 1055800735, 161793290, 320137488, 671137194, 568506691, 45203820, 416054116, 996027396, 1052892669, 823068452, 796741612, 208888573, 128384561, 1043539100, 620389328, 2171958, 438662112, 57905972, 913741921, 1007862489, 37835095, 580737603, 918538794, 105252052, 851703320, 61795013, 713564151, 912503204, 103592393, 772599801, 40790703, 501123686, 941925613, 639681925, 508297467, 536268678, 801937985, 539977749, 938230356, 85573331, 441711669, 98066579, 567259503, 209616892, 970367133, 244608937, 604755093, 253428817, 988229777, 868995990, 771384359, 52842567, 18971780, 746372374, 575107201, 681069740, 784401531, 456752983, 179673732, 133088272, 618460323, 969257522, 621350489, 732805709, 665147107, 291195930, 97060902, 1022019863, 816508689, 185188589, 519867200, 234922632, 696287737, 287278962, 670765539, 777451788, 24156554, 54465265, 945244109, 852228790, 477375190, 741520467, 569703575, 559290419, 951640622, 946397838, 341618206, 422199552, 125692871, 1001406769, 268110300, 353812281, 654496065, 680051868, 75142928, 566814289, 1042744219, 968149971, 132579238, 584076072, 774914177, 193265159, 122981592, 968434612, 1007690184, 694788187, 797495661, 391177913, 233907746, 834853467, 882161394, 637908055, 970848522, 373948659, 339832895, 751801651, 865806578, 145094823, 693736768, 885908592, 80651810, 450649582, 630365434, 455918693, 457222074, 306237960, 893166500, 104430226, 881890322, 311486983, 910499201, 550191950, 105615986, 814941619, 190583169, 859432456, 69152425, 169045180, 783776763, 810749691, 903511893, 105735397, 159230498, 1019959442, 48104615, 952311770, 566228923, 809165931, 1070817164, 651034713, 716724101, 212962964, 224993057, 909076421, 206599821, 156766760, 491680743, 811018854, 398521949, 434769425, 386213665, 75578628, 713188250, 570202032, 749163454, 631793566, 82670732, 252241534, 269184955, 871367618, 474769003, 690632086, 446006586, 897580073, 483169795, 1066153929, 994530537, 324141271, 600138722, 484977681, 511689410, 620190228, 58465518, 870622849, 139271720, 50079865, 797251962, 922183381, 541605504, 1004358032, 261819747, 497025886, 551964635, 562985493, 490567538, 982027703, 387615145, 675754551, 543644268, 691625358, 929333159, 966564999, 1026040551, 1032137254, 45131694, 11485034, 104933082, 165460956, 882144430, 570686606, 992622210, 184566067, 721639973, 1030363709, 177689662, 131050733, 6054313, 92770063, 840823583, 871143900, 483424830, 485404414, 687038444, 916176417, 460419960, 1043284457, 931242588, 206047483, 963820606, 530645249, 652259498, 151635233, 213574963, 495468864, 711917915, 744948128, 871858347, 810348129, 91084067, 585201293, 611566856, 678578836, 446681736, 158566717, 612510622, 712483742, 39629234, 867357821, 361436826, 83016072, 105020691, 435846457, 735802135, 651956282, 956546737, 36018985, 645418970, 1050379885, 685208541, 369960808, 832004714, 960435301, 515507038, 546295035, 1027494663, 454455892, 794380237, 1008014484, 207079712, 608274718, 923114172, 768867338, 688370702, 267262562, 223750481, 587518424, 830301323, 265180784, 40359662, 182146315, 321629794, 1049161777, 89626971, 225212786, 101617537, 319150567, 602705391, 845542642, 117036491, 775200868, 296391764, 1036690272, 781636912, 650961617, 854131267, 99463451, 787993949, 973046133, 457598992, 943966678, 945191403, 20739338, 1056774365, 599566482, 294220810, 24697379, 879819270, 952183297, 123769272, 551060856, 207527881, 635963579, 758894624, 1001092820, 956290913, 583200258, 448735733, 14550519, 373192435, 1024101580, 345887207, 760501426, 647516773, 37848883, 574584974, 743960819, 497400237, 605932645, 1016808163, 853850747, 75594857, 288450013, 622469339, 408993833, 787211121, 178935165, 300846433, 1039144063, 68791921, 599315140, 256712585, 169715217, 198952772, 699658369, 380260933, 643549602, 21149553, 985357615, 26977954, 46491995, 101814463, 858184360, 231044148, 848139011, 30514382, 934430055, 186969336, 261107632, 903198648, 184459135, 360665746, 349466265, 975282503, 550228487, 753912701, 572975288, 821563801, 243565559, 722803210, 115938285, 1061862168, 256417965, 846739319, 758824911, 160832876, 535523103, 348533773, 543139387, 456907364, 21616208, 730330584, 863902328, 470334313, 190033211, 790580784, 188114745, 844783887, 791537166, 534615692, 675119731, 412914789, 292815479, 361931626, 554117971, 580420791, 53119012, 562167715, 634519003, 663529614, 575733153, 124616943, 685368639, 191477016, 525616219, 18471701, 491349635, 571558753, 994162597, 312729934, 265432481, 244478924, 214639248, 35390053, 687656925, 996344581, 22503346, 389898127, 112914398, 602965512, 29678225, 232360792, 692028350, 434172125, 224448287, 204975871, 516550223, 1016877802, 1023934096, 1030004034, 1051845517, 269776185, 266536245, 644874407, 843127957, 650169778, 759941707, 17061896, 779314618, 621949665, 606542731, 294700197, 673634023, 1027214135, 1068223029, 435231982, 43770198, 142158631, 413673463, 141204241, 183689746, 885924089, 672459586, 957095954, 190338250, 409014856, 830051795, 327748723, 852376670, 924803381, 635985460, 466724441, 207624558, 397209310, 253753440, 649577742, 721553468, 665386468, 304146092, 190636228, 202058418, 561458383, 417116149, 91347018, 528811493, 131447187, 921711924, 607737487, 325175884, 477350400, 1052257009, 1016031817, 592076104, 385889849, 677823664, 844796233, 552588367, 104037095, 787700560, 767225633, 799445710, 762008617, 50540728, 816453134, 677167430, 578655208, 582355934, 208548908, 1055588575, 519756937, 912192976, 244692563, 375941064, 950771997, 432961994, 780562978, 447449632, 639338730, 953973335, 64638075, 536069647, 770973970, 836390607, 933126174, 1018565440, 388966903, 649878426, 653752692, 48543894, 808177701, 662310030, 818422113, 777370832, 513984832, 490889892, 245025326, 332800837, 984389026, 132422060, 21506271, 185703643, 257438056, 449158285, 249198216, 842536562, 814399922, 246354053, 710887887, 201257178, 234563094, 97109233, 705690441, 948644313, 930727149, 835581735, 193489005, 560714966, 495924155, 364136489, 469644497, 957616788, 222564011, 1062352369, 373653188, 418232338, 209068821, 8778731, 1027423067, 1067400576, 691682685, 76036106, 652508097, 733455093, 151773964, 823790882, 589220201, 709566666, 684035587, 205892986, 1005528607, 783622856, 747774567, 180103125, 189674807, 672029556, 1028941857, 269007845, 935562420, 761843558, 51663831, 783643862, 558599104, 207670622, 867215556, 739981126, 802331536, 1040190664, 280061901, 288953543, 773991309, 222682300, 93751980, 63335491, 387899560, 889488904, 280167156, 922098978, 679886584, 18864341, 287229583, 703675972, 692448700, 436464935, 838627871, 760821386, 546706652, 779691923, 616905352, 1033945629, 476604866, 262070371, 630100095, 882618957, 559992089, 860925110, 634647007, 976237809, 440583249, 614981696, 983013803, 36859246, 341357935, 1064156247, 663134395, 550069379, 423058861, 151314747, 763755133, 1068459019, 963610385, 30873299, 80331105, 36016131, 755558649, 626158797, 1011886679, 101401196, 468069352, 1008515122, 598761789, 951152995, 92304558, 962780879, 506814340, 965812111, 437381502, 372044194, 776622136, 190056733, 489243561, 823266244, 979867567, 343680746, 877326149, 366364239, 386878081, 739998745, 950050989, 192912091, 610823786, 673982028, 755981750, 488230052, 28796163, 466456539, 177495627, 466190857, 894333070, 957712562, 802342270, 291046267, 208149714, 572374822, 466963077, 513779962, 437835074, 179980880, 28500650, 937025872, 853520076, 951250892, 752068501, 872610408, 769836341, 1020538220, 687928451, 231358088, 172702864, 233198411, 232974740, 840543626, 240891583, 394427664, 989527371, 615600002, 493335581, 917020574, 256243216, 380430046, 499079872, 791548686, 128127040, 684892157, 96747560, 907251201, 837312184, 308144421, 717874160, 632233739, 155098209, 251745386, 1024465005, 815113585, 900606126, 506389187, 558546868, 57720404, 113596216, 958854705, 28437881, 54731054, 995991704, 10520505, 328104579, 832175022, 1041198495, 936557618, 341805577, 455508054, 473651824, 853612716, 94151117, 25915531, 468300055, 201353608, 887921173, 884540574, 393450452, 707376800, 1037510808, 491770145, 524341364, 316178036, 368168505, 611198728, 286048263, 371338005, 638359041, 704982956, 909228682, 928213716, 741275378, 557430919, 92505828, 1073552401, 804926628, 597166681, 935475234, 1110318, 194637307, 560543573, 798007274, 376554810, 777575278, 837763406, 112858353, 271321971, 351589511, 438729608, 771060028, 165830636, 467360832, 327573553, 978892025, 64734711, 1046992457, 619263621, 207074798, 1023496489, 595686727, 617039558, 950059150, 986082085, 15528164, 921714990, 240661010, 214512042, 376442874, 953825666, 341047832, 1047381652, 171454038, 169349590, 708749204, 200649424, 258691601, 551602803, 592597885, 1052643872, 310494527, 155621881, 501626235, 422395776, 677753832, 206468506, 60061393, 604901493, 280780435, 972953350, 744779661, 572438394, 650605274, 779568376, 120102480, 772849867, 122856468, 123418285, 407669386, 397790251, 545339768, 54614466, 1057061484, 745024934, 930442013, 1066011154, 346924918, 107651729, 470814196, 387202433, 835609102, 977870756, 371731184, 345109510, 916364503, 283372961, 1066781010, 950724188, 357639003, 772775683, 670688731, 583645489, 927759969, 793060987, 138340264, 590233616, 193757095, 789529192, 216614659, 479683247, 226696877, 519911761, 24398709, 130936520, 860611467, 1005301789, 899700776, 27917065, 878749841, 810574420, 672902387, 305911685, 439032336, 255261528, 490183516, 414773528, 476319046, 60291844, 1068435539, 475969675, 225497012, 817007395, 943153426, 255486865, 138720005, 228698663, 1064557175, 517494992, 453551190, 443217296, 552912202, 755121099, 756162302, 99352517, 827123971, 56263443, 568350818, 406200393, 665181565, 550060518, 261655352, 740554889, 259977308, 768823470, 181110474, 624850822, 10440152, 601465300, 677927083, 1068034477, 970762898, 535589307, 582416170, 385885066, 281182665, 29804918, 1032605087, 364682054, 892558477, 882914747, 143088676, 655490965, 219940167, 784524736, 900780359, 27936153, 695284950, 518143414, 263553200, 313303985, 733934956, 108147540, 931067428, 922673817, 713315436, 428285426, 217892477, 852225845, 1045320925, 957042253, 497442455, 44603458, 934108773, 104972954, 260956511, 24555664, 370601379, 455413139, 200605577, 90048182, 823112038, 368705368, 555362938, 282694080, 830226232, 196612411, 690436950, 172589297, 766329328, 728754728, 688680333, 230867442, 277598021, 94172174, 75911972, 675917407, 406997139, 546635012, 701534152, 38328526, 24956626, 948435062, 110579781, 206651389, 99910026, 209855514, 809024042, 681553094, 283916438, 754182334, 669706960, 532213150, 69212878, 1068897802, 978076331, 215003422, 801227922, 864017143, 214960976, 768172829, 482584980, 715815533, 359764008, 507898054, 150359110, 904910451, 872020985, 336113542, 969571321, 452385278, 832493266, 927667380, 732948677, 430171167, 382280376, 733115526, 249633657, 642516097, 369650781, 995917001, 601361638, 1038486040, 723000029, 1016875031, 928938173, 836774487, 749139453, 726163640, 662246349, 219917288, 695599181, 713881306, 333122691, 1045804977, 1065034186, 860436410, 668078546, 41525776, 571507842, 950757166, 701967121, 299924300, 459498274, 402231876, 839546761, 306242912, 37472910, 230924534, 686373686, 426411632, 364791799, 960603822, 78484980, 233804294, 882091059, 227263569, 44259456, 1044075641, 93313834, 74062082, 370604771, 349267236, 197034807, 910486991, 769754563, 138481043, 92955588, 669091762, 668506991, 364872803, 415991167, 380105952, 789900190, 996844508, 587803617, 865845943, 905786393, 891468360, 806437509, 619176079, 894855106, 983028615, 851000561, 233971020, 34971037, 634433699, 483394564, 861002203, 9030598, 892249509, 1024111270, 175570673, 272935272, 505195355, 627956177, 828957201, 479120070, 648464391, 756509194, 505196418, 619052444, 391506851, 76667079, 942915002, 1018696382, 621184362, 334035874, 455961553, 872269915, 625012227, 714578873, 718843250, 107222383, 545534457, 41788196, 1002732972, 279556714, 548233065, 650728368, 219157599, 613918247, 967299825, 192455514, 6484844, 287644242, 953717387, 849952550, 502628534, 1023848700, 586665410, 720014007, 897718982, 366207048, 232242146, 393294787, 342645523, 114185690, 540688529, 468503356, 97289052, 312301874, 10044361, 283474037, 562520571, 1059295458, 612990007, 468186301, 798013188, 903109814, 206488187, 914007125, 614929991, 1026281203, 249385257, 43852819, 192462522, 837268983, 694735010, 209539507, 454329997, 625332754, 267680583, 244298438, 1045474028, 665682252, 692651143, 302063558, 198320939, 850938029, 220846965, 185070727, 50905557, 27036863, 405324797, 206257579, 161869495, 53340171, 857141861, 733087752, 356843803, 880567948, 649216328, 88766077, 489940621, 918490730, 864487361, 175681459, 1001240681, 444365725, 146621565, 612758376, 110402859, 754325751, 965643950, 823388294, 815288609, 48766267, 180483935, 963475332, 933652728, 208152958, 452995546, 558865330, 760504662, 882993018, 303872030, 717087519, 82921237, 225831974, 559982956, 64653011, 48013393, 893412189, 336357738, 867860714, 949876298, 669892866, 784259806, 500338120, 571920722, 216551504, 79211664, 455865082, 1048258065, 972685995, 665134874, 126915973, 760157416, 721305129, 112025586, 176293030, 950166928, 970604394, 607240693, 502996858, 211451297, 50195131, 909452413, 974091901, 1011441732, 579398956, 940335137, 388327055, 176706900, 390329577, 1065994376, 1054926082, 399477902, 906058768, 907169985, 25340505, 722753462, 1051321496, 944862025, 15629841, 976791503, 1017100947, 953631385, 766792489, 1014451155, 306419456, 243730558, 187210239, 17236593, 706742468, 395729132, 101959337, 21021745, 854542257, 474133503, 108042915, 104853903, 1027025813, 947145951, 179265483, 329516514, 886815300, 83006329, 109124696, 599104437, 36410239, 490328916, 812533111, 787253500, 16632429, 1068650599, 1011540597, 1041704498, 154365569, 846230939, 688436982, 1053872263, 68675352, 806477832, 828350928, 1008962241, 403433452, 520076027, 256671807, 244381266, 280610696, 874819434, 819050556, 160785212, 567235641, 434296096, 845919286, 47478351, 687438483, 117656763, 438855822, 158157898, 1017078731, 918215752, 625564444, 705112699, 398100550, 417969584, 142644940, 435421032, 1025117149, 289744936, 15698464, 49001360, 538602352, 986013441, 937294509, 289123964, 24250518, 63197443, 182349807, 914610589, 5465068, 515038769, 698166989, 659668744, 132461436, 722360810, 422823440, 652967575, 642782128, 526600573, 253256899, 686969075, 92893439, 962107694, 518093032, 799525465, 252887294, 1051089797, 117777721, 823284049, 860777405, 235251575, 937257916, 922022894, 892895773, 308674108, 956196453, 260003208, 915720165, 681503791, 518136838, 760707453, 851123202, 1023461776, 414170551, 81220247, 889673249, 673214127, 23647361, 1011023993, 947505296, 623241531, 578643761, 733664213, 126724155, 1046143772, 110415240, 783815602, 866719102, 442797880, 353534590, 382237944, 99285266, 387493955, 581888568, 612440863, 917753697, 578837880, 1073022673, 951698901, 877017527, 549952804, 405162722, 397719872, 530642782, 637455365, 616256845, 65650671, 307480645, 312870910, 47656300, 889973851, 181195090, 694741811, 702091518, 636043626, 1053868600, 465961778, 96752704, 1013203699, 790052494, 863995479, 165379225, 1016734644, 214874054, 787834125, 864221889, 737114302, 1053927773, 88618140, 887628901, 599255586, 820620177, 396374720, 748052530, 129189195, 157750141, 486464888, 81120459, 1047400440, 942226349, 759862797, 879482091, 383433116, 141369631, 670751468, 1040602054, 174059995, 979027414, 490097943, 429434360, 14073496, 648837254, 755039952, 642779017, 212260869, 931690407, 947263295, 872654583, 760222748, 222683904, 551824752, 558980466, 391578939, 967181357, 856245034, 975380476, 1032689566, 631016503, 238010188, 510309354, 904232822, 218210750, 938206336, 689560245, 348135387, 652821965, 1039593180, 762863950, 476771886, 181629547, 878089982, 217343530, 411234005, 25882657, 369179239, 569339160, 562267198, 1008072217, 969470624, 524274013, 140800361, 379216942, 1053086355, 1001928308, 120836870, 1031067215, 560205554, 982414661, 46256367, 131389633, 910099991, 705050012, 475429666, 302580682, 183654325, 458677572, 778477360, 826723515, 477928204, 458835525, 744326249, 713270817, 39485423, 490747285, 675026702, 563403788, 488763661, 748721832, 411678664, 588464111, 106204531, 440481396, 157663147, 909170659, 206281122, 371316381, 1032094101, 764884298, 764948070, 944343471, 1002947260, 462721051, 330770877, 224282821, 885317613, 435684902, 1005933583, 660148655, 335758609, 902011661, 836421990, 678251753, 195551997, 1009082042, 226737156, 879751239, 295251105, 696927592, 859403011, 46066883, 718045763, 419667626, 322583435, 736100426, 1003434760, 216768424, 756262326, 990089193, 876040467, 327553376, 765464461, 252068478, 849082381, 906863076, 38729536, 1019546653, 691938160, 927167873, 229043134, 235064126, 1010495432, 748496932, 291999134, 881389837, 421397473, 252939187, 41399225, 57094010, 493618694, 951582190, 263729878, 241787697, 523521127, 103652192, 961097448, 719405820, 258109078, 487308321, 173514240, 715401921, 49267384, 1037252983, 776591267, 573037594, 579259519, 787378454, 445198423, 512069630, 55199085, 22639856, 1023884750, 492645274, 971053146, 1019183322, 249539310, 569792703, 856418014, 74293007, 604905587, 727897132, 735978720, 572098880, 523605321, 303041084, 451297752, 467302410, 808828914, 201145165, 230795606, 565049234, 416428360, 641579965, 392072254, 230281859, 574669256, 969481247, 368921440, 705906605, 688912161, 996535015, 783328953, 865418640, 286240446, 351856886, 278166884, 608942824, 92471679, 322796187, 266573845, 352449854, 1015356406, 44835280, 923613461, 83376668, 735190239, 638804939, 702266571, 579409526, 612356473, 551868404, 556624255, 157470882, 20452634, 479380708, 30318296, 579125843, 400529112, 454609925, 598520177, 486529651, 462290412, 730040604, 984894478, 258353413, 997059090, 175843647, 522588249, 952975616, 241738447, 996203586, 576340101, 472051408, 643447056, 1022584098, 323340090, 606103773, 109499572, 135329583, 614369899, 28590717, 51697885, 765320543, 50750756, 740483101, 273558314, 1248804, 869341524, 587636587, 76207626, 1029584580, 74267654, 1104176, 686752873, 242271048, 546341032, 89854314, 721369707, 764725085, 316352236, 286190319, 321398661, 218040089, 712976869, 681491813, 658720096, 612891052, 267785410, 483625271, 841475987, 595585248, 259918397, 570488262, 792407579, 517047909, 626018809, 269738534, 105947926, 9510808, 758580395, 727569126, 1013593268, 1019515673, 322287550, 401456229, 111847028, 1068683112, 338547145, 467450581, 517788245, 166261277, 458734321, 185409757, 562700931, 805790702, 786200829, 104778598, 929957167, 618008034, 387363464, 696745493, 135577179, 824587916, 442405605, 959889513, 154629402, 573256133, 290528712, 618879438, 348376504, 1052846363, 232928991, 858586839, 750603359, 284138813, 147106386, 876645759, 616003620, 269568610, 319808904, 238190606, 247174315, 566874767, 518499435, 594827915, 547159514, 689080658, 614060696, 664026272, 999144144, 100182950, 1055455242, 819517204, 60658583, 378918634, 380769308, 944408760, 827136424, 296303508, 481300031, 46213363, 11115471, 225051640, 531909096, 343296069, 137477727, 992935968, 526575251, 336649160, 224027627, 717281305, 922745120, 413500747, 368465796, 860255068, 982315584, 649743476, 21836261, 306771495, 939971940, 484935691, 547434813, 453219704, 838729581, 189390906, 467885322, 1043859638, 30631412, 995739179, 71099400, 775126846, 783770052, 135853386, 875982456, 17022893, 690594793, 497906624, 669326533, 1008466029, 218720054, 513326755, 626664380, 470723628, 563809069, 898845924, 631477729, 918104491, 628405468, 422465853, 712062105, 931609259, 431038523, 82206751, 997457493, 989300266, 604045055, 614412606, 645875629, 838963257, 566421790, 701604079, 388442415, 865553785, 181674801, 718105972, 687681080, 953182648, 612393601, 471780796, 667641723, 5285982, 486436555, 386832802, 820989875, 727481447, 185240946, 740036352, 543069808, 761163852, 764629776, 870532217, 744795085, 745648861, 1048075189, 663456294, 476715334, 412833899, 750940455, 445664396, 695067920, 645076684, 331094520, 648346866, 114665270, 112330724, 459108365, 67053658, 344795290, 845587430, 741958947, 800560413, 420129575, 118095961, 606653418, 89183954, 634473930, 183155106, 503782180, 701917540, 255678637, 150644368, 961691311, 287586015, 350000871, 383353310, 353046079, 272452140, 136015754, 337321627, 859739096, 7137947, 579906013, 923998878, 592208944, 873982635, 98722915, 194053476, 853984026, 68614158, 752820763, 1037009092, 564951586, 444487334, 642980888, 631433063, 1028421615, 693516947, 861847827, 980873876, 982243805, 30326906, 93732188, 1041968088, 898143112, 689220371, 376317306, 917388997, 339707021, 486323499, 819179398, 161798918, 104529498, 168625706, 715139731, 821243739, 88420396, 324236787, 643722046, 684959097, 992983802, 306970412, 139992589, 1055095617, 217946856, 303758353, 75386276, 1066759795, 742921994, 420811165, 644647075, 41529891, 757999359, 947824455, 903453406, 278987977, 523658472, 119879754, 744920122, 129210295, 455190472, 886580832, 741328718, 925945859, 861743774, 37038520, 856749446, 764644732, 873771723, 78899860, 164741455, 413912174, 974967604, 422205288, 764725271, 369800839, 926825253, 68805174, 551135680, 224754261, 114721007, 818876197, 727993051, 191168230, 847775216, 830500400, 112672415, 303403363, 880194776, 112485086, 741573569, 48444632, 769608876, 248440259, 213779998, 567719039, 259244453, 508797354, 42711253, 558867015, 778957936, 677380572, 126854375, 132471499, 813051371, 711445367, 1018277505, 672564636, 167722838, 1020605586, 718610725, 165083295, 88148093, 1016278489, 298363887, 17040079, 856851670, 814597211, 229437683, 321563103, 533766772, 378368972, 231179, 925432113, 555778030, 367366900, 584887306, 737103988, 859104355, 999625181, 472229093, 619468946, 731165574, 678914775, 340984455, 45137941, 903916246, 478881245, 181951931, 270550688, 683122707, 166603016, 126099958, 101485926, 93590302, 1052812157, 672300834, 799709623, 1051190529, 69493578, 72699906, 781888311, 428177122, 94620224, 134896984, 466460448, 760262630, 686766849, 823745646, 1042129538, 1029468523, 604352424, 641542307, 446948649, 832313469, 910487383, 211744925, 683399064, 521861861, 951532119, 351220204, 528162056, 1071768164, 414674948, 439609998, 633431690, 273424101, 607077585, 308912868, 507779450, 338655234, 853180893, 1019258981, 944184205, 261992990, 826898171, 345079319, 491653039, 1043099896, 333401581, 647117006, 276759238, 363725308, 1048384295, 619707888, 781372495, 817246353, 686709984, 643703091, 664102548, 327092438, 429787008, 287532405, 231732712, 419205589, 763189503, 152608878, 793642210, 307462996, 24514706, 489582335, 810645658, 248533174, 487404808, 706501532, 289015651, 1017011566, 1024481217, 573666258, 1043016330, 168800004, 448879263, 792699100, 775485823, 534742999, 385527847, 746149042, 430761863, 135260648, 130400825, 909913763, 140427194, 5617687, 631796618, 768769141, 8480552, 643366695, 212203584, 438083910, 14011197, 1027128961, 140402690, 194087071, 1062756351, 923132346, 693536553, 1028160016, 711467822, 234506224, 281001493, 722489710, 529625773, 908927160, 899278548, 447281993, 509565071, 84177581, 741554297, 961501942, 704923844, 177786614, 998648387, 786296517, 752745755, 421223337, 686206755, 168999333, 40519728, 925440287, 532536575, 140035062, 460641744, 131896245, 402579952, 691141609, 60992133, 416227409, 378280140, 57142609, 24726467, 759300956, 296935392, 91013749, 637586392, 885655442, 726200853, 846712128, 1046751871, 740882779, 53261153, 859440102, 384767941, 644743545, 898461854, 25670561, 390144941, 462185482, 207341094, 58988697, 588760204, 438859649, 205130540, 922022179, 157484153, 825896977, 766945737, 971020111, 95819525, 802525832, 1057111856, 12921930, 1069097752, 431427178, 984525943, 305629553, 129973279, 957825654, 548307694, 580759910, 334722096, 400864659, 831076931, 380832520, 243027399, 921631610, 134664253, 291678037, 636356177, 535539983, 404499135, 200393392, 282573123, 854271217, 1015921231, 864000182, 49425065, 162228665, 318689913, 1045298324, 664720967, 159091447, 966378647, 760920027, 493886674, 669086512, 535383417, 136611966, 658174507, 539319921, 596927739, 348667205, 453500560, 1067937996, 96098921, 817315655, 1068111277, 563440477, 99940702, 376608834, 614125828, 687522545, 335792946, 110604844, 276180337, 446478535, 31142424, 609344146, 542297053, 991391978, 982849266, 1028585226, 524895176, 998153037, 277650445, 991153573, 1187914, 21539238, 923576910, 1017463547, 458093567, 835152491, 219273353, 96824677, 997671263, 512622227, 793957013, 61668114, 242792994, 498284349, 824692116, 154387586, 849015275, 935110737, 246130931, 5022650, 270979906, 426149263, 245207965, 215997603, 222835981, 813923821, 979192232, 964149577, 892309765, 981729578, 778627151, 1011470582, 350220132, 286079311, 937635371, 184814273, 631397064, 634445519, 965006445, 857931568, 153034545, 471396667, 757797695, 315023283, 483202715, 1070570081, 332866268, 966020878, 396206132, 795451560, 146673012, 1032272110, 78703955, 370811057, 896188636, 922709773, 638084896, 734597497, 280159888, 244516480, 454455319, 25860743, 540093034, 51500115, 1013180030, 447626559, 709145493, 727833942, 465385473, 678229242, 277619548, 369963653, 276231751, 738594314, 621595626, 519821215, 886078959, 902565255, 755350710, 831397700, 141053935, 222696784, 186343235, 95410139, 250221086, 400153806, 366391424, 672320166, 523139314, 77772267, 735013924, 145890498, 559825596, 969923434, 431270266, 689285423, 375834500, 747213565, 443890338, 906984875, 31986308, 710436619, 246684576, 908355724, 506092989, 340123593, 326152326, 1072713691, 892981445, 343229362, 864487075, 935025036, 1051267163, 297566785, 662701356, 373214486, 166663443, 754471612, 455774997, 599936721, 705560891, 482671411, 1846798, 351509358, 661887322, 59615166, 310948607, 403308972, 613004574, 645266269, 762150395, 57439211, 665428096, 907355617, 366355973, 782140730, 998384205, 93704632, 819561555, 237134608, 412243098, 241933725, 882385798, 838248340, 1000403923, 564738448, 108763801, 131851307, 472325856, 385291882, 231546564, 865863889, 617835168, 350887479, 1004207752, 607553404, 706711837, 822813186, 67695466, 703021752, 538778025, 1065150175, 871363394, 424391847, 425207258, 723631024, 1035318602, 995751945, 602399689, 409684584, 904269055, 997039994, 904002113, 1060844545, 769885696, 1047298807, 177646951, 503986124, 253909354, 748959384, 458394760, 285008194, 444879737, 873943941, 270604615, 415863893, 609882169, 18189482, 92593263, 740797883, 331447640, 877580417, 449015341, 769987658, 325882262, 722198691, 782732269, 561623447, 18218770, 70343508, 802661867, 252648848, 259969096, 470854111, 1026776240, 500493884, 581582298, 975283636, 225496365, 788079981, 280424590, 558939948, 277699601, 321653541, 10145280, 113990721, 1027177616, 81241660, 1032148595, 616782804, 598353171, 529596200, 843432162, 511908162, 127513388, 694644954, 902140944, 619669214, 837054852, 1008730245, 716719268, 122529484, 430456515, 961670222, 486187401, 19576901, 725482607, 298531641, 977658429, 85748299, 1045795425, 128152676, 2611352, 721275667, 172036748, 150789272, 165048050, 1876894, 499818837, 689111384, 112130572, 684591642, 37632456, 159531016, 861218107, 546239422, 677857699, 168431098, 751082939, 527799229, 1016482897, 489181124, 399241647, 43757948, 1066261960, 392580790, 750781024, 161516319, 138482485, 261097950, 23589734, 870139631, 647188670, 734919037, 742011754, 789962736, 527508325, 279051444, 20993894, 448659101, 441008136, 587945910, 9067978, 1053691194, 890662824, 392357460, 316895487, 329376013, 166712178, 908420990, 583451227, 541483896, 179887795, 413293431, 235289876, 662248143, 905771770, 591193095, 652507557, 815026463, 543189895, 343531082, 297502092, 601666075, 947434049, 1006160794, 98947832, 418886463, 1044189638, 91195130, 1012632791, 332461908, 316135215, 844660503, 470181539, 378294671, 972928792, 967253253, 575332569, 291751476, 1063562173, 526115271, 979588936, 171500809, 635870670, 932811944, 792564595, 1039535315, 641832553, 64337720, 57170943, 622730240, 31248853, 154080714, 785041056, 836498008, 217370829, 455279441, 678741334, 575807697, 379327677, 523317136, 967972706, 295032478, 951137367, 335610968, 805732243, 662496619, 1052980693, 366481811, 587189255, 400062887, 118825469, 740946241, 57712273, 453007622, 611996598, 339427310, 311662722, 686149006, 1058939978, 731300924, 828129032, 331583368, 157130773, 395025377, 874591490, 985279667, 394894227, 508011715, 764118777, 468052187, 702644047, 123982705, 1011434953, 639628785, 119636044, 778768061, 1001970300, 286320037, 115393666, 903336873, 384029497, 838838664, 71026231, 524757285, 732486477, 517513983, 307330633, 978079774, 871309038, 862026539, 606587442, 5911017, 586228908, 32141756, 390242894, 864296810, 731430437, 261099633, 917557460, 909925691, 597580953, 136807533, 759077182, 522650311, 138522316, 761040183, 273280936, 580889591, 729206949, 816188248, 708407522, 648091954, 246381731, 996457240, 857274285, 91964667, 502256767, 722512489, 122893167, 218486997, 724505181, 510968705, 355527788, 929084780, 64403302, 626639281, 883628432, 950146141, 729862767, 117230385, 285338220, 883923994, 722905428, 605884657, 1003206986, 43840085, 476060624, 626538437, 829513066, 326303688, 438699572, 904759630, 49722031, 103849208, 192962359, 1003021254, 604394491, 914931270, 90057869, 344661807, 585559475, 434911440, 408344273, 933504818, 9909027, 225833989, 715896284, 272246877, 199413282, 42129370, 1013640564, 681988493, 870354046, 40251811, 869643403, 522182464, 735335925, 291410627, 843927549, 940217004, 236515858, 718043195, 423880546, 33303892, 978799429, 1000765402, 684883996, 765983934, 534987600, 841230113, 221124240, 576879992, 816271292, 442172366, 459437710, 889264445, 221781106, 1048588841, 579430105, 372450287, 876746112, 109328596, 612320054, 438661794, 288305742, 975307017, 625890975, 719538733, 964410491, 805189737, 354829607, 952827817, 367773743, 702656209, 192985017, 318127186, 1062455462, 873717781, 665474305, 494925633, 160775497, 194927032, 45727425, 832330569, 382474592, 504674974, 1067645285, 519670347, 478846832, 682043636, 425241449, 1003420111, 262512313, 638869533, 399802777, 1043567300, 740535726, 86005710, 1022662444, 276960431, 124847971, 695372147, 914911056, 168314140, 23190494, 16306275, 270135723, 918813402, 859488262, 888203892, 601164682, 361542138, 648318451, 651555533, 429827948, 74046637, 512177601, 776229342, 247244042, 805476032, 948663192, 871808530, 284518788, 919673899, 844359144, 188272750, 218102487, 607691834, 90381001, 911873727, 535808351, 866023730, 853756266, 135644498, 632059037, 1002002556, 494021894, 11899952, 688788951, 555001581, 878905685, 317288143, 350779638, 994317014, 788278655, 473055360, 657543323, 900236139, 176055823, 925746353, 827994831, 829429451, 295239702, 250057292, 274651569, 1070286972, 265500949, 572853228, 391904999, 252913605, 175180753, 655624397, 751405972, 632079942, 395675263, 737211765, 728797811, 896015797, 285890817, 965976548, 901743730, 982922192, 1024452141, 869936805, 690996082, 1058156899, 974871317, 349102744, 431058561, 1004079375, 234411954, 328913872, 1037289116, 912758750, 736785498, 432367225, 753876162, 518589403, 1029145720, 274917119, 672700593, 811559419, 270920489, 952737417, 138093936, 99897912, 82607001, 75009891, 700086108, 64618975, 488479653, 681865075, 464994910, 330734446, 574529627, 37625554, 104362861, 277160685, 849237508, 438688131, 69933527, 937551258, 163424515, 146309506, 767149265, 275948146, 956680740, 222923109, 791665349, 397310828, 562426553, 363577979, 555002015, 410668229, 201803599, 1070128086, 797461771, 513000396, 521463549, 835237961, 325065034, 810451141, 97596933, 1037004227, 3057240, 744005620, 86594696, 663876625, 978048703, 475606045, 322766062, 751288879, 552008175, 477144787, 631392541, 288126191, 438059718, 819043243, 775870141, 658127925, 1041060024, 741830405, 472214602, 762726013, 166307407, 561191683, 1058966277, 735291778, 480143371, 659288112, 73863410, 381085686, 38535514, 781733134, 771077840, 1044992027, 886198596, 409373867, 479262573, 604564422, 524092191, 646146145, 412157991, 534714851, 55324834, 597151089, 23450631, 327616161, 718554238, 585516739, 1031377433, 691279092, 336379720, 622598826, 568415032, 990771150, 270308878, 355179060, 902492842, 948999061, 590555844, 1033221299, 1041423931, 266928989, 723112923, 375151493, 56805729, 684721187, 426590797, 115139084, 264354954, 904040097, 771607333, 598958091, 177902649, 1032807122, 507494669, 203804039, 98775084, 285933724, 98278580, 316666926, 184644086, 1031299662, 192979681, 967887349, 211489675, 595217887, 101333667, 171724834, 109735750, 349996654, 227397061, 730796568, 1061122042, 629688763, 120627019, 522715444, 64279937, 273954130, 970067733, 60514365, 496465414, 1064214618, 722365759, 446004450, 934381036, 306179095, 1062011954, 869065029, 240842183, 140576445, 693928537, 40432254, 148696883, 903509577, 452726000, 438521152, 159998084, 1066879066, 618038497, 596226062, 116127665, 622581370, 876346858, 509715212, 440670249, 581777194, 160944839, 912822766, 312503759, 9569512, 839918138, 716883643, 345939153, 892682406, 339623116, 423224337, 747029378, 15551621, 649726543, 207312241, 1071684576, 701014380, 90534907, 411975861, 362072185, 615914767, 48962923, 504579304, 789770421, 1041283176, 768866064, 139970823, 690477188, 912357531, 376953613, 724399418, 909857947, 547353891, 373889889, 733723561, 651850356, 1050136868, 342303448, 152014619, 220100723, 844642047, 367574177, 982160404, 453543431, 982903350, 15186895, 320756162, 467176358, 427245925, 44533009, 713321303, 564237590, 298541267, 376799715, 814623839, 957089406, 339915388, 800125242, 989219092, 417799338, 98773162, 839523936, 881469485, 39934320, 347895604, 857332390, 800601690, 529830443, 849607429, 54260021, 720049902, 453020814, 413497578, 180556702, 317867939, 412139943, 132280261, 286999963, 683828461, 588968349, 845717913, 152563844, 231262428, 905203311, 97882960, 593499441, 354250734, 450791650, 821056679, 1060583278, 654911405, 546394901, 845663852, 802816848, 797906653, 808852630, 742006253, 648251928, 935993959, 120888950, 355410149, 43606530, 734200391, 334156395, 108588472, 442346283, 506460950, 282994174, 229337261, 699647674, 521543731, 737585493, 43394934, 343553752, 91336680, 413259278, 575761240, 201028331, 1043607062, 788393329, 229884744, 162126437, 881595370, 767369673, 629699446, 57291013, 124804416, 1014043033, 658039099, 682414108, 112491395, 338100196, 866475275, 363939305, 501273677, 813180821, 306851362, 530257762, 969528037, 725955864, 82802923, 385787316, 327739487, 1013706570, 818634918, 99607653, 826172820, 966616342, 657374313, 103259232, 758484824, 825896955, 97277120, 967445616, 1064406782, 779494849, 126500296, 350603593, 595747334, 462604456, 576287491, 760614286, 304936349, 786659053, 342689685, 889387831, 4882392, 460959895, 220199057, 220037578, 582413209, 505941904, 213414274, 188663596, 407245753, 906164013, 949594534, 402622725, 764731375, 669315373, 517343230, 27312573, 983276776, 1039720760, 769308950, 945904972, 1056964577, 413516017, 9400326, 678864527, 480503976, 70702191, 67090144, 77036898, 395057108, 164946224, 961985152, 71618238, 127705881, 1001606832, 698027424, 717847147, 1053387431, 990291359, 813110318, 300847446, 1070867729, 587248702, 817889126, 512622350, 478889390, 746690952, 365879740, 552044863, 849601274, 409656064, 261642225, 739928931, 383721603, 564572823, 387029320, 84226533, 1048354479, 627828165, 818190370, 406729553, 752951853, 384018530, 892446041, 599562251, 529402487, 483180178, 139850240, 583849127, 422230311, 310087622, 773407602, 1054889079, 688243624, 630197398, 13557777, 390884185, 238350531, 737930962, 62605814, 1050498708, 118818866, 858986851, 378902203, 5830486, 533482935, 97467692, 734567477, 242018782, 209915277, 336466741, 75504971, 634315651, 906724146, 874458786, 900574784, 2759501, 359041545, 814384606, 443736574, 855166115, 872706521, 30944312, 318843748, 383617549, 109979954, 1021448015, 782856169, 496392365, 979463034, 574300525, 225497, 236457561, 546793187, 918517842, 766333439, 905816657, 284505323, 222572081, 437640095, 939334033, 460104966, 604024040, 425201654, 694379812, 731616400, 833685536, 312389602, 508891403, 126320778, 810631807, 352946166, 647340095, 439233445, 77599165, 961127955, 692644784, 559602355, 451223425, 895481502, 745432108, 924975924, 207233351, 950816815, 915756329, 147937893, 867482386, 729854657, 578247166, 256631373, 1072097084, 58282974, 231710337, 795702560, 952451153, 284945899, 270475842, 152947425, 618025795, 553789930, 681892643, 1031705404, 603610130, 5134264, 348802747, 766459107, 352599638, 633618929, 307884391, 1005211045, 500778879, 921219465, 1056576947, 499606636, 158025371, 975468293, 783574777, 704252234, 306290337, 549818473, 90731228, 513858363, 640382038, 814877275, 184621719, 392803374, 20235737, 162888190, 226423290, 709693692, 765162677, 255442555, 28754619, 178771867, 542404929, 608310975, 811835230, 83204286, 164728369, 228287558, 305352534, 365125799, 879142210, 984572542, 166244860, 734849463, 33430140, 117569877, 130734640, 494039803, 710074951, 644080544, 638128338, 680765349, 780095810, 1021453887, 389288206, 816083268, 31574065, 618345318, 80970926, 710682565, 915872161, 459832748, 962488291, 834110868, 485403102, 375909062, 996168718, 296818448, 442909451, 902992667, 805660522, 632391008, 895069155, 354296705, 378729488, 654807286, 574773814, 357212555, 591005814, 365951237, 618885, 936794710, 333160692, 128745036, 478631517, 488995249, 685440881, 194246558, 817808644, 436194468, 151679517, 576697973, 872865560, 100695234, 1059153346, 958021925, 774071472, 607080409, 1022328864, 898997270, 773713061, 403566548, 563338955, 202429330, 642175292, 464904638, 777369289, 787910456, 4854468, 877864062, 224479489, 860065795, 548378363, 51088049, 1031716639, 501221202, 466864006, 1046155891, 466592976, 78008214, 472826159, 572130446, 653933970, 735969158, 958299571, 526277639, 473534889, 514363886, 395206557, 183911324, 960222712, 938259077, 1063129765, 420707698, 504700475, 746394494, 883913806, 446000419, 577894695, 555143256, 702375032, 597409643, 249450835, 387420916, 940759818, 607458357, 915142560, 815737107, 232169569, 733734012, 476909732, 1063653795, 465956711, 607534032, 389590640, 47500706, 839768387, 946007554, 871170835, 658167118, 115583539, 645890518, 499527991, 266398350, 935186411, 881562346, 318475009, 3605132, 79581573, 503675765, 310887030, 24156955, 1024963719, 11724040, 25047607, 1008668898, 857233151, 954417450, 702813451, 496037003, 495811693, 833935864, 649627937, 965155909, 588631272, 758501007, 124755280, 778323668, 139380570, 968217998, 1064048843, 355412502, 374710505, 994561796, 1060427761, 967271805, 656393607, 758984719, 521106130, 1042593182, 888277418, 955288374, 1022241201, 766620967, 1050376503, 263834886, 596126046, 1054936589, 951497239, 1021016229, 657075156, 327146222, 857233053, 1014321402, 836878517, 858329112, 410261453, 724610304, 372710693, 522000193, 535961983, 533490800, 36889978, 1066552231, 860777861, 132923190, 818164681, 431678626, 272348365, 112456685, 191117933, 661560582, 505815825, 290537044, 152977282, 1000809012, 52365494, 696440214, 263433914, 257138125, 1031926841, 878127976, 477615589, 312984500, 873247796, 326857396, 815682531, 612450569, 757503137, 963529871, 651872922, 718604269, 50073778, 443214267, 833932948, 909209440, 803709025, 963379950, 442945706, 587833171, 959664112, 161433896, 260180989, 743631291, 707034840, 748966191, 911594303, 1059991561, 712093672, 1012164, 388387707, 604175310, 359082166, 743588936, 817589893, 218115072, 526414831, 360867932, 201546484, 554530255, 133051014, 375033967, 1032204014, 126618774, 516350024, 1017378384, 565778448, 559179272, 220845034, 171970214, 610679982, 1019587306, 785882584, 383593917, 463180378, 828072858, 454005437, 224808823, 960512423, 1042622826, 235658936, 696970334, 590260945, 691730452, 1052309586, 426287240, 125528296, 865773452, 37944604, 218370031, 13386792, 240257523, 44595459, 116586810, 335297515, 990490596, 414606641, 310199041, 190453971, 283268170, 493519684, 111565897, 395867601, 406040333, 132428540, 754907837, 264774722, 284443815, 745753889, 98795123, 871408070, 191748479, 230796839, 406276383, 75124874, 1024364390, 940549034, 932513134, 987917895, 697001249, 1005443320, 861077726, 199337090, 250780538, 817150268, 524103049, 780861147, 326662733, 169309319, 425328742, 151284449, 1056479384, 826197268, 401648371, 505538603, 130424605, 175117828, 246470526, 131875422, 877076894, 687180103, 450639061, 529786377, 98992779, 878445753, 572883354, 640024927, 576955950, 956162555, 587926, 204690887, 1043213844, 428542734, 211231849, 874738064, 294577947, 2057985, 713871136, 130224597, 564063964, 729229570, 492303146, 524239692, 873027159, 225283412, 755897222, 468929022, 316223541, 351310767, 160709397, 993342152, 384532927, 449074228, 155421016, 758482227, 901713828, 234482861, 266454050, 300954031, 265044803, 744927290, 776336351, 421224194, 66005207, 485387516, 404973286, 677424510, 636814100, 790578148, 711553042, 24156028, 920017681, 394565345, 510246468, 633458243, 907732886, 567699732, 955685571, 1055402682, 328595038, 37549436, 567475838, 569181258, 432730802, 116643920, 338785226, 576079555, 784575913, 255613406, 868215622, 1001118607, 531783959, 963660183, 882539926, 610389599, 777777129, 674220690, 1039994506, 404859221, 65676744, 506308195, 775327279, 319666002, 445709465, 282922157, 413868103, 834852327, 56836410, 881229980, 563034687, 718864738, 269573958, 610462902, 364643176, 706806085, 197030960, 107022807, 301751220, 213935616, 1042677654, 713219007, 956228177, 1044725292, 822151225, 1976772, 13009308, 163824925, 368605510, 747475898, 444602474, 345017853, 542994922, 51830647, 1050501938, 943151703, 44236435, 935256930, 114507541, 238151032, 517269308, 616517134, 587870739, 97586995, 254078796, 646076410, 629578992, 846416649, 880856363, 896092991, 307446326, 1046640231, 337873424, 350502235, 72648497, 629103204, 458074860, 300000566, 772554888, 123992506, 179193902, 884997751, 885842902, 1048197048, 713611731, 949090612, 556673490, 116030337, 935108832, 110864014, 594570738, 919510887, 114876033, 267493030, 90843791, 472042684, 584770765, 349332190, 752095705, 666887943, 913770975, 630498631, 965533592, 995416273, 1052065942, 842394772, 43492879, 1051044852, 977106159, 353920614, 134667357, 427098296, 660684855, 429859414, 316267331, 205926561, 74899284, 534211147, 744710607, 785958232, 305333060, 119152557, 49390097, 329980339, 824044297, 719247514, 685613190, 761930067, 739930376, 781417868, 716628520, 561076673, 1066456785, 607193501, 196859966, 499522069, 24757792, 1051710011, 835932709, 944601373, 939224491, 737716293, 10739509, 1012221541, 1014734242, 227931912, 987779080, 870368171, 614581424, 781145517, 211737279, 446458286, 482903247, 350729524, 932642658, 742193864, 198695609, 980471822, 697286215, 383023978, 503829365, 989308521, 918025318, 1030420975, 57344450, 207471344, 1023489585, 947099981, 1031165268, 430112271, 318612645, 672660409, 596760080, 274158853, 986311143, 37803067, 456098320, 243835379, 75746464, 743009097, 625089751, 235990944, 28116832, 33275943, 884724041, 805546290, 689717664, 1068785693, 998983645, 928724534, 187434539, 522849901, 968032756, 647746822, 579473480, 52842144, 501084335, 559736589, 246485739, 421235794, 1045852410, 976702696, 613199034, 884029496, 357891282, 697862375, 934022197, 567400199, 825311730, 90699405, 708588315, 840894140, 477890092, 110616265, 641019936, 164275662, 876414987, 538178738, 125696331, 187466990, 149750452, 398441097, 16647931, 591488096, 330354950, 214194737, 330191721, 754130659, 170012954, 505471055, 355791438, 837644335, 140990557, 482788430, 29111766, 187105747, 797239363, 338398569, 527989052, 852414784, 485117793, 176547755, 874235618, 733270670, 655876878, 382307753, 1038296703, 545939241, 991086430, 709901733, 219841452, 549403838, 757538450, 947255737, 477745495, 94359254, 1062285065, 557320564, 499898748, 891747444, 421128477, 322454942, 350807933, 286283389, 840646377, 525225947, 1041774595, 82681729, 746741500, 260045970, 517864806, 579758323, 810952761, 487612821, 1011737275, 773675204, 424431091, 153668643, 300060228, 908414358, 37021960, 923869581, 396954055, 367333847, 90952563, 923106871, 197245298, 530189579, 469829273, 353463984, 98794274, 144118158, 539699181, 449269817, 291099218, 796614089, 871169496, 924858651, 205476217, 796624729, 981442297, 160036580, 901227499, 273413352, 179020019, 930861746, 87954081, 39861066, 96033707, 300361071, 496032404, 138792834, 675120125, 536903262, 194657976, 672401787, 292639805, 157321677, 787699955, 905403322, 950052036, 675590649, 256224258, 626776367, 438431302, 479786745, 142858851, 96546036, 777118775, 730698372, 331707592, 1038337000, 280493118, 575575820, 935732756, 845078861, 839738083, 1044401718, 941692208, 445918754, 906660676, 441365910, 677081517, 466033794, 1008549334, 602848949, 501730786, 610409701, 724895038, 277888164, 292030864, 124251413, 559094038, 484840065, 258453651, 820574420, 1057496271, 755990293, 923881939, 368610783, 394754528, 417042023, 348723616, 736706259, 605167146, 496540163, 366221735, 9069359, 376188829, 1022460416, 881761492, 846848313, 912400256, 514938479, 899664360, 767313828, 836636523, 795560841, 344620322, 273649843, 705136009, 58543666, 118652649, 188780927, 764865319, 209357266, 419673743, 1047498845, 1032253195, 863555899, 305503342, 290571729, 109690356, 326005827, 746782683, 493778351, 726503821, 564337891, 166424558, 351102208, 288490367, 593826343, 735853505, 621126934, 950778362, 521796742, 89338121, 954643697, 346385731, 184010851, 79355598, 554905415, 943415477, 62056275, 191175968, 39004730, 343068656, 587403464, 297011502, 1014266929, 448006528, 1022873293, 821412218, 189831258, 908661056, 938149636, 72954468, 310339299, 890391068, 926805037, 2385192, 596180076, 839606485, 711628475, 1071191381, 192468527, 299560442, 411344423, 827450598, 954489362, 987546979, 646413620, 262611540, 848019698, 912643368, 691429582, 309040196, 980119351, 561697267, 894509178, 904908708, 496194737, 770884387, 753985653, 1030500642, 9751087, 767756384, 870491280, 369642662, 501875346, 572364344, 148441775, 889982193, 320602645, 775256800, 67889716, 81059389, 126133047, 114979484, 203548458, 492416999, 209666040, 363315976, 272818991, 267269415, 4299442, 746409446, 141114652, 934456553, 785267337, 940671113, 844796176, 841348264, 429173132, 69938567, 647803914, 113231350, 221843697, 409814476, 1040328365, 612361695, 695244122, 559133670, 290788505, 19251930, 627136276, 63556820, 406108684, 1016384576, 341476297, 37803586, 23082310, 386425172, 910032412, 465746994, 690395688, 17617569, 128407677, 247023659, 295742880, 14960064, 94788107, 1006792957, 1041503086, 16832533, 711966053, 91112297, 783441757, 283187497, 1019561789, 480423784, 484512229, 75819369, 542553845, 674732009, 811280898, 926532582, 528381130, 89538980, 418978913, 411063819, 954193474, 921235388, 505650098, 932629044, 159751115, 1070111743, 443629165, 558594638, 194396701, 260662498, 153801497, 781711946, 984034862, 247615015, 21476048, 875538290, 167915870, 100110091, 228728646, 782814200, 813518024, 927832725, 954513792, 135258711, 182673404, 452928411, 154187865, 691313648, 892443241, 911076916, 1007222500, 575754202, 419260615, 583454402, 1017928728, 812465535, 244290182, 451112807, 855125276, 684926999, 354834501, 421589909, 735259129, 356333943, 617509675, 595536907, 904594662, 921133694, 1031067589, 56828998, 681043649, 715887879, 736693700, 262906305, 649874149, 512466993, 68095433, 733721739, 976239313, 572530142, 361729933, 710666848, 934060609, 559077491, 790849609, 25349084, 138427431, 439670165, 921542447, 385613771, 827608452, 1019217565, 737667210, 596461329, 687191699, 707694031, 788092880, 552832984, 791991517, 454846405, 939991695, 683311543, 761460605, 174288361, 288079635, 803293250, 1062259831, 17373793, 147790129, 834600167, 60716013, 656380662, 134252506, 965346461, 74017089, 486761197, 935664824, 780940890, 842877977, 342194359, 550298033, 1052975832, 988906708, 702227431, 369865690, 213644265, 171329504, 491938758, 812038373, 11576746, 690226803, 943903415, 296975737, 16607048, 505402074, 218266691, 58414327, 975424291, 1063767400, 31500479, 277332007, 795551381, 45842817, 485575347, 769207035, 541184175, 722259537, 166198486, 219533849, 471788376, 591172041, 673924229, 748192821, 233287866, 447224796, 654531561, 985356688, 254881718, 145839140, 965548647, 208077274, 898202631, 449839251, 446745890, 483275944, 265766617, 652720081, 344018906, 11398465, 657261807, 231667940, 232174217, 723704533, 306350891, 866235367, 999701335, 311138042, 1058295569, 429828524, 317157304, 990417220, 1072295797, 1072755790, 893929980, 189272840, 82567108, 899386452, 128735430, 738991449, 378390305, 211790880, 1028737936, 821539327, 813314867, 172416353, 86329468, 883011520, 1049442948, 46955228, 27585879, 636115294, 487520789, 233729141, 341532976, 1027822658, 450843634, 416663697, 502658535, 675035031, 137237357, 1069083877, 677726779, 341140164, 745408758, 976616713, 763962843, 720725938, 183918151, 956409980, 768889651, 550062120, 112164946, 252374196, 121508172, 922949317, 235335067, 913975656, 754907129, 712111424, 739157000, 791931850, 451355506, 406608171, 859445311, 1011567881, 205292312, 8302777, 366109838, 836522103, 624953054, 741821447, 729110432, 941629837, 593130072, 148288304, 648867633, 705009702, 827394605, 1019790232, 737863820, 1014309535, 816458456, 893494749, 27999509, 890432478, 350973651, 107158304, 965923138, 111443974, 666779068, 417487774, 933869977, 706233169, 731182287, 561866635, 727829048, 870800972, 594721981, 587251948, 119552578, 409688143, 884591083, 105250153, 151603020, 86405930, 655193817, 319605191, 522430432, 276992270, 197755059, 511662614, 944748221, 153739070, 115217306, 341431409, 1002736769, 169337134, 694879049, 329828451, 156668457, 1072884344, 541276890, 20072862, 968976810, 386935017, 242899340, 130453751, 957884825, 845515181, 120080763, 811309945, 693054333, 702566010, 13720435, 993456277, 697055543, 447703127, 154745438, 591787026, 15160424, 189919701, 392053489, 758702899, 925646898, 757164363, 227311723, 459611330, 932344365, 846488167, 501823102, 288261576, 449572078, 950989660, 831718007, 624098387, 754199826, 3460695, 115928742, 305505736, 462716354, 758584215, 308421954, 349456396, 53802307, 480760825, 309224457, 908642219, 762793953, 195093346, 457519384, 696927898, 926384292, 812733246, 738858861, 1051550590, 276580731, 496722277, 300756593, 539337655, 361408887, 30898775, 780564420, 29547430, 91813542, 348366415, 686354715, 521411739, 84925082, 860665322, 545842008, 202313059, 415489833, 454663444, 87798350, 812497543, 849007746, 120790903, 46559800, 9000885, 207067232, 901067590, 707736471, 969663847, 1030257333, 623073765, 201137782, 176570988, 105772029, 408523437, 383751770, 428790289, 505193531, 19261269, 668589506, 976351921, 655865662, 542062994, 850596120, 551907838, 224984420, 857661425, 595953491, 152753312, 654430924, 887024450, 326998411, 877586921, 629559235, 850574371, 539250817, 1048460612, 788245849, 153593697, 604240953, 291792578, 558589108, 599973985, 830917787, 436646294, 114493405, 45813896, 1049910133, 987020436, 1052403061, 352863469, 333180753, 898062529, 465141101, 182793280, 328770938, 966376703, 557075970, 181258866, 639112823, 464921195, 3082736, 683474658, 835063229, 643836575, 33699277, 340074548, 991091557, 182630499, 69962224, 105335745, 15905558, 757255637, 519921726, 994233402, 789636581, 619407384, 646792374, 1037821290, 404156123, 738090789, 96077485, 697550467, 690654843, 936543704, 970461090, 479517250, 897188299, 855206809, 708124244, 905862273, 199378652, 920951587, 29077656, 882277215, 236321034, 460680704, 613942788, 426993624, 383609775, 58346297, 654163735, 865117069, 834341035, 1011910207, 759749065, 34695252, 260248348, 241961322, 933427819, 1034586858, 522472191, 392499344, 346729295, 286768576, 284556959, 467335612, 872609451, 962997467, 191763432, 1053090823, 1013284302, 852742386, 821749685, 197137819, 1021546463, 623215208, 244213195, 782565092, 706254425, 167464290, 307663004, 121494005, 497325848, 432301214, 316272779, 836884323, 636204518, 315383368, 483452563, 845471326, 619505642, 248128264, 70495256, 39502682, 716400226, 295791561, 846964477, 797306088, 366423644, 339884189, 1018749635, 662696807, 653722482, 795945112, 269195587, 402811101, 454544332, 892958868, 729467551, 541825325, 185807834, 919106599, 894034785, 86031971, 52097387, 162701192, 153619046, 1046182183, 260187234, 939033044, 964748590, 981103880, 4077773, 235372753, 780689300, 1020664859, 278726351, 35892045, 617926509, 540314713, 423929585, 392407998, 752283804, 553112929, 712765277, 42497720, 319606042, 519356799, 960287963, 859615854, 684214743, 815312709, 531677988, 604543675, 94072663, 272270017, 426063028, 362958473, 800021836, 888393456, 105753715, 1054336839, 277182935, 400411597, 963216442, 119627135, 740303245, 459605039, 672274097, 1022606923, 39986745, 281204344, 540732359, 786807593, 924576310, 987336166, 686284193, 337117033, 471975659, 354957832, 596300611, 309243151, 348808861, 68361556, 241093096, 534970993, 1023020042, 929146955, 213905547, 114475440, 1053144002, 445650322, 702618003, 1002905920, 697268549, 924052499, 438512768, 14317499, 322301051, 501431544, 533686918, 297073963, 114640385, 1062147730, 845910215, 217336038, 729153595, 422364633, 195487148, 778608260, 434821053, 1026760672, 334276113, 486694757, 91708342, 677724005, 553140084, 673478056, 1052708641, 520572207, 957887986, 492875037, 706662667, 710444260, 98525732, 767595296, 972646908, 222818896, 466135336, 930284870, 113006695, 918665925, 273651663, 826337648, 935251117, 458186711, 441715549, 451090566, 112159195, 595729830, 805881159, 117963491, 975860888, 765860968, 677806981, 872743070, 824522963, 136940826, 521551475, 754358276, 627423681, 405929209, 155538550, 866673945, 414204224, 264448290, 704264841, 605267208, 601184354, 533345845, 947652981, 851827811, 550644094, 865068729, 19090840, 965644041, 342934320, 735343063, 341272028, 1048508323, 131548904, 215879498, 441171450, 1036326545, 238025312, 778390698, 266216230, 1059404161, 1023343648, 223493710, 421582501, 264686558, 585660805, 337319723, 722198349, 76636874, 548790887, 701705402, 1073672495, 790815857, 940802443, 369086418, 734668829, 1053270725, 617176902, 647794911, 301298165, 449867353, 992869883, 507872498, 789286001, 808888454, 642275676, 821209267, 780894248, 783978103, 74836754, 641295111, 916190546, 956514146, 30005012, 563959453, 421854205, 857778999, 704320595, 1058647888, 788659965, 640072969, 151941149, 34569276, 153832098, 660205311, 611148960, 375819434, 213768520, 799200062, 574770179, 331364910, 269576162, 666497145, 1042261623, 309863849, 74106319, 376815467, 909206026, 18931894, 854990586, 620318290, 258488651, 639598412, 897835463, 626668270, 981726604, 802885197, 1025999243, 992206533, 699080654, 671238268, 319151973, 575019865, 289015116, 284145868, 12810597, 674914831, 713060651, 378869823, 571968750, 705475504, 888290919, 88455000, 176331967, 96346798, 69988025, 572441139, 108782288, 1016265491, 447996320, 48881789, 263239838, 828759469, 835352730, 379973072, 247879230, 816063952, 339714743, 38623354, 512617732, 966691472, 220700422, 156982002, 601451038, 143260658, 851323324, 357361271, 672197113, 468780400, 1007111075, 17418867, 937320683, 325130178, 933643624, 919269207, 1018216662, 828589171, 674990177, 57866926, 815277692, 136335277, 806382867, 336695789, 873235213, 657432257, 953216650, 590340385, 897647972, 258969842, 1678751, 1042087786, 444725886, 677951891, 386423047, 1029802304, 941042691, 895631771, 199490608, 954315415, 153597759, 290824279, 583955525, 659507026, 975554208, 458467318, 4495255, 512820664, 735342590, 164938103, 370480753, 647486133, 779367929, 881825047, 1031390408, 720454374, 863981787, 392674358, 942334307, 139782043, 33709450, 303404861, 867131518, 413366803, 546865147, 88910635, 758861428, 49894643, 438064300, 34787890, 24169526, 371771632, 67231252, 645443991, 352733267, 944372080, 912848443, 729116165, 1025977703, 270712778, 74923754, 963483273, 774999156, 627542482, 903336619, 716136576, 856684312, 770812161, 801319890, 775579910, 907961021, 79180677, 441215559, 670613554, 840545426, 121881180, 753968792, 208980584, 72636647, 302357202, 580412959, 355688547, 489051774, 519256672, 628930646, 897733575, 488598835, 1015330748, 343112876, 580757253, 1020078870, 510900748, 649263718, 55608780, 822902957, 640229021, 616280628, 922189452, 585608230, 945483627, 618255306, 549019196, 331067251, 578744846, 371616822, 1067890944, 865440960, 656930596, 738916704, 453091720, 872045650, 720159682, 865812844, 565981067, 970968412, 631773224, 689588485, 235139258, 1058713765, 209583418, 986551266, 878990356, 740655330, 900762424, 212911275, 859708993, 327658798, 240306048, 70530679, 451055454, 742468433, 672282139, 608409488, 535506877, 236238276, 924650178, 592456105, 996932238, 85262597, 457912826, 664198850, 111583268, 239878833, 1064643343, 5357172, 1063488536, 954264014, 1031551977, 741818656, 622440129, 5594480, 949563119, 955371679, 345212417, 534163656, 544941928, 270604256, 325901339, 1062663700, 686623475, 75515251, 601917264, 938914063, 131147410, 944286617, 459699953, 759442677, 870668584, 954532938, 294866635, 255371854, 154685577, 213287678, 750303337, 819514485, 147847955, 763040973, 391823404, 976918198, 1062335396, 420055483, 63983300, 106956385, 140130404, 60894043, 212285333, 138510570, 970360059, 1008565604, 600741772, 471157501, 889752783, 790969591, 660821296, 486664689, 175624525, 623900231, 974620076, 136271498, 473214644, 147755211, 979716636, 530099743, 1008901574, 643130119, 221112375, 306762861, 211359933, 951073246, 31434592, 868232792, 791690546, 229377214, 211543635, 299840179, 282613600, 98696349, 291320876, 75399200, 49953286, 889811311, 792068556, 201963344, 546716685, 754104325, 10499260, 1028251169, 818310543, 482566328, 826732353, 55756360, 262971612, 391292219, 922295848, 313481011, 74445232, 174596461, 783928804, 655125343, 479432405, 23649364, 366925478, 116672164, 805746083, 216046931, 801983136, 795785449, 745539806, 710758113, 566612086, 145883507, 391589910, 582388148, 527278924, 274673938, 917945505, 313558859, 522408368, 133003719, 666508539, 959240571, 825706906, 566383108, 1002902778, 551923278, 180629944, 207994089, 241151209, 580115606, 479030379, 113642817, 623966321, 375060749, 116628046, 911649637, 877388828, 695991240, 542979881, 417079536, 303357693, 158032164, 3986860, 120096881, 333820141, 595558901, 1048919788, 788384858, 1039377708, 841705432, 142864190, 328847815, 840007238, 1035969765, 428268755, 367360885, 482493226, 481884257, 107733928, 409218641, 99464883, 830883207, 170908856, 562166607, 260147488, 819401837, 723875266, 411345408, 48540384, 586386592, 974099158, 114128259, 478812307, 1064158957, 775161925, 635297698, 365592138, 917573890, 425812345, 267130507, 554160340, 573457360, 555157358, 550977123, 289012601, 205043888, 285871781, 236472161, 238671146, 617023211, 547293790, 427354409, 407937597, 164434765, 755958369, 1003120683, 526868965, 58442506, 987599134, 359209633, 264200835, 1054690261, 1054042081, 211180938, 246019800, 182151158, 56863383, 573836786, 136543609, 1003771257, 334031399, 390364903, 1057314316, 870688798, 246544358, 72163617, 1032683050, 1018593946, 152568934, 142961979, 307429852, 985231758, 819867986, 391068835, 190769591, 255379245, 1070893949, 1052683780, 221264024, 595076179, 499041790, 890954208, 251941253, 212432229, 796458105, 813450265, 934746999, 528063779, 326296145, 686572493, 479220009, 155122010, 318050523, 103191657, 220630169, 14688737, 17353005, 783138656, 376618464, 973778198, 554475192, 95652576, 409405885, 449586489, 1000735669, 675105742, 398189479, 22608683, 846305481, 83800016, 596486986, 540920138, 269268464, 378013479, 815397645, 210578909, 309366133, 542648223, 341989137, 81417065, 76585154, 681298624, 906911436, 779551564, 137441224, 627551316, 703145042, 108956898, 169333516, 895686523, 74677981, 421177467, 1069493103, 198968884, 248943418, 1867154, 1041014420, 82504213, 93046289, 148776133, 29627899, 759328070, 165701848, 673276183, 209580297, 1063067905, 214944827, 507717251, 741834083, 743854655, 590803851, 595068074, 817023726, 585644644, 321250207, 895419879, 677728677, 352934631, 639276802, 940420547, 228872888, 995249063, 192576074, 40873374, 909633291, 567793420, 443235994, 282396712, 24820141, 687630674, 807460215, 595127367, 347788776, 546201784, 139608552, 785527712, 672333132, 323651406, 317050398, 572148527, 939662137, 214963406, 573854808, 642779392, 586690742, 556521480, 151123102, 772590557, 550094745, 513093890, 146382183, 1062100302, 1300507, 732643551, 395596653, 298571932, 77184759, 740326040, 591283566, 39867156, 615443635, 631083806, 662360558, 129528838, 197351379, 574773396, 768515832, 527155540, 932226994, 959739853, 827113080, 412844341, 464861041, 109478108, 942542491, 774291627, 677522652, 813377756, 695835903, 1067339616, 1055785741, 154075176, 194970455, 758469677, 928296492, 818598211, 149886782, 363145334, 621611487, 575616997, 426322940, 361360670, 986968477, 907017471, 363357976, 1042758708, 834963995, 578677827, 988817177, 566987307, 206058641, 73673362, 532342503, 683399484, 256347573, 167282374, 986697191, 718589210, 693877158, 465244755, 311443515, 641106639, 808812827, 734165581, 506506213, 293215429, 236826653, 1041598107, 696558431, 590960931, 431881286, 1021823367, 372324096, 640463114, 1035588147, 361749150, 203232499, 483933806, 72921678, 826993444, 533626909, 393119091, 184281836, 459951870, 815300559, 201298006, 246926117, 937344717, 176308279, 264815515, 124026081, 424872070, 512668005, 244575505, 411656753, 570059857, 697503138, 44491580, 175356119, 1016211416, 445907108, 1065248598, 94272987, 252570074, 886451432, 1068228471, 220004751, 675133359, 782999205, 38618906, 12406196, 890695349, 683951677, 673155787, 834535720, 256785341, 204855198, 74159533, 223079395, 730570325, 960548265, 831939485, 970084872, 1026222635, 683108133, 90961280, 769339710, 28039315, 205032396, 885960478, 109847599, 490308150, 776730076, 337132633, 181649962, 975513171, 506724516, 242703741, 489463782, 219008181, 5434811, 1063309246, 889269126, 392816150, 91007716, 493322800, 702340257, 126779998, 650502402, 452914367, 294379445, 301316290, 549742649, 388231161, 152363799, 457996519, 170516831, 54504584, 555514425, 275716996, 278183568, 643603724, 408076622, 799253725, 332096558, 694698006, 79353923, 1070656535, 374287761, 511287578, 231202266, 668238642, 802012608, 611750251, 422390988, 143791283, 61371686, 629229183, 92212739, 772753201, 757847403, 774377217, 44189303, 683183093, 946944472, 750835557, 229967327, 95098207, 59742444, 168337123, 845363604, 790090378, 367622276, 240510763, 84334370, 927309375, 720724174, 921238910, 366734832, 53806804, 510564416, 17109057, 1005980623, 516716635, 808182855, 46097473, 454024345, 766343976, 785823398, 863186606, 19735019, 730179411, 367503583, 475024637, 445717397, 984553527, 294148587, 235414701, 742028374, 932064617, 941570375, 1027403801, 403801018, 26658531, 951151197, 617553299, 480452108, 676527241, 449545576, 726112771, 241480327, 977388755, 1044357846, 120044811, 512733746, 68055539, 245146536, 857116926, 303542936, 152154103, 483008546, 598088065, 493397522, 73377191, 49011809, 145041697, 579336418, 547158795, 945133605, 17779715, 174101845, 337363754, 482089717, 1033921847, 1038013829, 329662220, 355552163, 888728506, 333095944, 139283916, 370789711, 119790489, 61697170, 263718006, 498725444, 110350961, 279714658, 503210677, 810654836, 256826490, 1008795641, 451486012, 394824265, 478227072, 562393758, 640508087, 615057343, 185814271, 970131581, 226652003, 88356501, 477036869, 1009245394, 796219633, 274998533, 782618714, 318949378, 317385311, 817980635, 358311822, 717088605, 601601578, 334845695, 231337461, 431046545, 1006117237, 567716070, 71695121, 945195812, 577247191, 202713174, 930130586, 1060583688, 874132828, 606532902, 193808359, 910694684, 441877709, 226649016, 832436510, 725741717, 819310071, 917961445, 393282772, 111578731, 967045240, 689050446, 758413173, 1068151661, 494314997, 113605164, 1066809704, 621459199, 136895753, 906267100, 899839180, 435605599, 1014015110, 1030214086, 589736932, 852793021, 212713782, 360657892, 936877124, 859869200, 369190012, 397452249, 151662743, 696747900, 133049547, 967120385, 85249327, 980903478, 868201401, 338044783, 955180493, 541709429, 46049250, 1008803644, 992446205, 205586449, 797508031, 829795861, 223047830, 102052342, 376092080, 1033518826, 724990064, 310623202, 279566891, 209538746, 855770732, 315318405, 4217970, 205712943, 302005083, 780568511, 361631143, 679959317, 567915021, 631000907, 548153957, 760998956, 139286643, 616331118, 143366446, 80606860, 569892916, 475428096, 989983864, 877010548, 997810790, 85003936, 903169483, 822919463, 665644576, 801717826, 853826708, 315280048, 3977643, 806970371, 780886500, 659980038, 302460962, 10410023, 563031806, 743985029, 736799022, 1053148897, 92591848, 751050687, 295193126, 560454215, 159411581, 280132470, 1070623618, 522037736, 34089791, 804394049, 285588270, 824373157, 247457391, 857213103, 822320482, 309047004, 982872833, 845788927, 902876427, 745815657, 831215352, 725002143, 485790019, 417729982, 679286732, 525651047, 786549370, 357960877, 911375239, 874597064, 437935839, 276075254, 574624040, 1062365641, 866006251, 702434202, 968165806, 426357845, 258384471, 477632083, 30555161, 995891078, 37588438, 128232936, 508358357, 437684047, 713392164, 752387352, 717724641, 67984610, 500186922, 569117471, 498554684, 1052521387, 849032938, 959197026, 221293931, 1001232157, 239235783, 247778012, 843835118, 577181400, 556937483, 555876578, 566024036, 280570288, 495255892, 799318088, 187653400, 1061723441, 99293012, 756702390, 443746656, 472412224, 689916207, 758524510, 815785688, 409089086, 149314394, 288700430, 102426675, 398000283, 298590831, 203224257, 141751207, 611877973, 334896675, 87414595, 672996905, 770329472, 209674697, 44804024, 885808403, 3314307, 112656858, 156503877, 797286062, 91490308, 903067117, 308765750, 606326399, 770411998, 147649480, 387099244, 945764570, 21723349, 705232419, 391948361, 425757664, 797891477, 719140053, 373929933, 881947529, 289999174, 917596558, 705086983, 792391134, 261383881, 747606089, 366397852, 624762020, 324048434, 489661382, 211962429, 210952547, 692381452, 615267304, 534119968, 48436536, 923236647, 95697674, 46047912, 966243350, 928131876, 966906833, 348232905, 833323886, 68684025, 234348684, 447111552, 1045947777, 574343554, 605098383, 651552024, 346746859, 497334015, 310549093, 174962297, 548175202, 852127960, 755039218, 75303271, 789473885, 584929592, 460099634, 666879878, 654335939, 583788526, 241674598, 490075265, 347181481, 146226851, 330586898, 798979846, 524004434, 313712227, 389311042, 35314960, 901302625, 467102467, 1066030327, 866017334, 612513480, 80022832, 401622559, 779821962, 56055612, 862431254, 762743874, 933694134, 428841545, 201916625, 398088432, 793947313, 449888279, 594375378, 694337513, 214265321, 335840536, 703479368, 169587273, 343020653, 758557549, 44111270, 758083994, 609012445, 299249917, 506459316, 72563918, 130892928, 500014164, 915724563, 756465548, 6232091, 431036898, 468569107, 208512336, 266557692, 264192594, 738057056, 737949669, 890803440, 336043468, 451837374, 248384875, 599326874, 1021086402, 131447258, 335928683, 940597431, 992478710, 1042415213, 351799337, 584767122, 881322632, 436521292, 428578113, 280400486, 1061010119, 62985850, 898805900, 894302250, 273873389, 47260647, 575137183, 391811230, 48334945, 925336716, 896623045, 251779562, 105266635, 904905554, 782731209, 1052565587, 923160713, 665609963, 1002440998, 968250297, 678277679, 1059092169, 1052778923, 284136167, 27787584, 546706477, 32472895, 813337592, 131681996, 287519872, 589926897, 873277396, 1039527717, 983590196, 692206235, 942607736, 508533879, 961091845, 872213789, 1004911994, 499877805, 813391725, 410117947, 926386967, 393716637, 839028021, 1073295166, 169193386, 11869657, 30262027, 854025732, 992734327, 1053607671, 78958790, 364555191, 282392913, 142646076, 618001658, 449294956, 156978104, 696657289, 1031497366, 487024762, 999496982, 430273341, 398645847, 518312827, 482809058, 518220118, 760570806, 117534753, 690503310, 27743253, 890284752, 628848924, 2535436, 71178040, 79751843, 625630931, 790290688, 808742525, 531107974, 603183583, 663089869, 565712695, 918673566, 671128787, 350364693, 950662186, 736374958, 273824262, 913342263, 286365669, 4233573, 367680685, 424440383, 766973414, 608669491, 78152379, 131622215, 258090397, 254901537, 248913650, 722494757, 1056617748, 531005051, 604586456, 949818536, 816032445, 992676502, 514297579, 54208098, 922703953, 509060232, 1053545085, 1023791159, 271795472, 500534035, 940071887, 71615594, 314769865, 316674699, 1071404452, 837185817, 262145927, 477380455, 425984595, 742500228, 1018085351, 91068178, 252601926, 641584477, 763515738, 67422185, 323633246, 453365909, 244721101, 586619198, 359445345, 135042730, 33605766, 862191242, 122576899, 431517178, 148977293, 951657588, 783723648, 320985501, 484784081, 576848932, 1028946836, 648683579, 800607731, 828027797, 547343257, 334817528, 529335918, 997840478, 14060003, 858522183, 215643034, 647329991, 916299024, 677327547, 356471289, 652907230, 267561025, 300155267, 762661879, 336705816, 142110987, 215492571, 441484313, 4854595, 16336990, 818634184, 777744385, 511051220, 323384063, 65918983, 845586397, 922810355, 601278737, 775175124, 419179761, 25119347, 29823470, 956245903, 244241886, 609810321, 19853429, 925876244, 299726656, 535518990, 226967578, 849608207, 13167565, 544099046, 955427085, 776709073, 700179921, 998061381, 448768535, 621328186, 197705012, 202585862, 4990304, 423680798, 857379714, 624049417, 955211701, 547020095, 1018250719, 56572151, 414629342, 46756576, 740226524, 734779086, 178887385, 27888351, 33786485, 536961362, 352228637, 608064342, 537500376, 347867829, 962200785, 625311400, 852081454, 372658198, 194048061, 369071318, 176703664, 1028068771, 966921297, 929273489, 276391541, 115812005, 906674577, 884967777, 763619497, 188221606, 681799561, 631435672, 608167166, 327924860, 10602912, 759684869, 12238173, 830401083, 315775314, 998469962, 889079092, 301840668, 900283840, 745678398, 981861269, 112207362, 1010454116, 610094647, 934990582, 950651942, 934702990, 673354954, 1071261933, 166566445, 659964848, 726900096, 488408857, 583163965, 862229127, 244194445, 384237507, 612023029, 350412732, 633015615, 516372159, 277534248, 359868265, 538833893, 851111999, 992650115, 275145022, 464136990, 449775374, 389312967, 286268360, 827845110, 854176524, 77513665, 954800925, 60983286, 362811701, 111450985, 481323736, 392058110, 668821369, 666896167, 865438327, 627123502, 370287281, 504915836, 215786134, 608232535, 1014481967, 674675044, 284923190, 291927711, 430781729, 243504987, 749340462, 268538712, 420806351, 847976396, 62389737, 13672985, 601001723, 88060977, 734996415, 347306916, 118904696, 790094754, 431513257, 218456743, 522540165, 370646839, 852338092, 601777523, 718282997, 258891978, 960456767, 41205091, 355330645, 240558598, 433043513, 729060906, 349618514, 126036246, 785509471, 1025011097, 748573052, 650022285, 345236089, 968792650, 759481355, 508505603, 226452155, 526491507, 833879555, 304533188, 622423988, 418535825, 175617842, 375888807, 644051583, 843239424, 911131311, 870294533, 629674845, 801621676, 353028384, 677446846, 926420811, 177038709, 220823041, 592726146, 15102578, 878003365, 377297089, 819545788, 738220843, 349100008, 474032099, 749485897, 131335290, 171411195, 710981021, 1038897535, 274703157, 483362895, 207674414, 958381258, 959386229, 949925795, 308594406, 493213952, 348157448, 443346226, 283119694, 276701908, 794615810, 632188228, 945901591, 859138872, 841491373, 489585363, 44744830, 1027007767, 356950515, 354302680, 368071478, 236342535, 527367180, 433657257, 788266869, 31646170, 35798052, 738561870, 332403388, 390671701, 178511965, 803417546, 395679032, 864821284, 932181714, 499844728, 190167668, 527483637, 471777618, 168309379, 341410029, 783561653, 326317072, 285254229, 800165507, 736031876, 432063744, 206202008, 636601261, 554109335, 534200200, 656500650, 566088491, 237410450, 71239155, 825748742, 41950916, 10932673, 100615179, 752925156, 895905741, 856875794, 435722231, 456448260, 478822063, 1061139812, 903046859, 812573982, 22566577, 56082642, 1061222442, 795002278, 379815768, 409772137, 974245707, 312074919, 51505319, 797957363, 788931933, 544528607, 855182704, 844212806, 933225734, 357104007, 431715102, 295562835, 156390921, 937095741, 927937937, 867031889, 937934788, 78005958, 956237398, 645179707, 534873719, 731214940, 276910428, 870754012, 867784339, 112192441, 964647771, 487088157, 295850241, 710050625, 557604099, 2283248, 307824122, 1000820821, 727657863, 949667778, 286740764, 997029156, 566389728, 844915096, 456468272, 295745050, 220781195, 113353058, 691933275, 1073337387, 374751134, 575632741, 591238911, 1072527449, 609131779, 751139426, 162487682, 41847860, 280244781, 1025340559, 972301018, 254867834, 1042600692, 565745328, 1007734452, 984582492, 1056317801, 907854101, 2195741, 678372710, 1069239642, 86025580, 430659171, 89902732, 699972958, 334890810, 975202856, 490116181, 288169089, 730431549, 272850674, 532663538, 986487713, 76386501, 354479009, 935112583, 466744496, 860485597, 740541149, 133714252, 67465038, 79909224, 57405252, 489145454, 739507216, 161168709, 306276954, 500539805, 502782909, 752855960, 88306607, 692393977, 270689955, 785434351, 44481633, 617240164, 37321892, 892073760, 622308824, 391524836, 388973353, 402531867, 790611991, 740435319, 949866135, 1017361596, 480402896, 537149622, 706139014, 223018522, 392256794, 1059494109, 160224118, 1015408364, 172724716, 993933545, 875156825, 907172868, 292613888, 30373482, 768926245, 702131519, 899765875, 478607116, 891104597, 961870440, 440945032, 119998350, 563040986, 184031651, 692055955, 867299198, 505939840, 306223134, 857206613, 589712653, 191091618, 793554677, 367859831, 991509756, 869314327, 158024632, 142346746, 346025808, 247665146, 736254109, 816577407, 750564437, 383957813, 201215852, 702279556, 412137483, 227598923, 989753285, 176957049, 299859493, 8442546, 119846542, 158437161, 410916979, 142615990, 632029986, 335153799, 886656424, 615060377, 300411515, 797431814, 875146738, 53920544, 497058600, 605074456, 1027955327, 367971190, 526958589, 406997106, 53250202, 186299494, 79563036, 666866979, 1038908051, 752950681, 898483953, 604489886, 577005149, 749433996, 538515063, 714937741, 314654858, 1030298659, 835785260, 102833343, 799301015, 227160094, 886918259, 433752828, 534627119, 516155986, 467886230, 572201073, 967499356, 714920706, 926977211, 427454195, 229962734, 947699055, 43514649, 989899583, 1063910101, 261333780, 135001920, 669793138, 55351446, 953202316, 795469361, 41981494, 114781492, 584576155, 44899214, 891371971, 419948472, 973804364, 372726753, 904464252, 634953245, 750838344, 174482832, 619969704, 17018478, 15524916, 344357975, 657311995, 836332231, 441847530, 204233282, 365131920, 696967321, 321882515, 410826276, 370906329, 634112734, 430284598, 759441499, 1002894743, 921474550, 932390401, 628137105, 488286528, 57295006, 883081960, 850017453, 453203214, 700276996, 344553314, 1014780384, 48123956, 919851230, 559795076, 114823779, 107826110, 956524094, 879346630, 560051118, 376143214, 180185022, 75886860, 998463391, 382962030, 607772565, 431479179, 67906114, 899350895, 938443209, 383327665, 943971076, 160923703, 620563083, 159667593, 665262234, 334206435, 871870118, 530789093, 684971113, 1021664370, 4187370, 662442357, 251018335, 537290704, 1055740867, 479029329, 497152105, 638705198, 218578509, 358441603, 696112362, 552864140, 514036732, 190345720, 183389840, 332012626, 869279528, 229819782, 305448870, 407641084, 886746580, 41461241, 648484046, 806520278, 618655437, 1043148339, 475135530, 72758467, 815461865, 364652469, 585496334, 316394773, 679101805, 606039541, 970746135, 972726799, 917873898, 736023442, 95267090, 899732440, 457766966, 352575001, 830150035, 952818220, 259727116, 328512951, 770396719, 351191483, 1010011394, 832358283, 322993618, 736246092, 370663400, 467594328, 599400902, 131157347, 569020519, 1011365427, 735480889, 909472878, 852649598, 654085216, 137927147, 512221653, 226556851, 878511181, 707412495, 643327556, 916375455, 741533991, 316011257, 473200718, 60346971, 373172053, 296456897, 628656381, 652050883, 122374417, 285790114, 769678093, 1007546131, 265377860, 515538746, 374240625, 61700079, 347377308, 136777073, 27377574, 367622074, 546437650, 728681493, 133888973, 879589253, 2344718, 1071894991, 353464834, 586423483, 863181431, 900105698, 339951851, 731048711, 121566867, 824976899, 480571433, 968980459, 5907202, 67912715, 714585018, 985182015, 492737562, 434167294, 1009119969, 442346873, 912819062, 5092056, 633535932, 498556337, 714914510, 323536630, 222580161, 891279017, 294189531, 397498113, 791090261, 330760470, 332310883, 696618023, 325900669, 592913694, 798435515, 118319454, 5069145, 976863833, 675244866, 280612430, 381376847, 995467178, 979731589, 567121102, 720448586, 159389409, 684325818, 549831925, 540421126, 574748343, 183264757, 571470133, 312834932, 610808823, 1010503112, 532313984, 592246041, 966826903, 512191835, 492425903, 206230501, 902921820, 144996238, 105403356, 330675061, 1038701484, 219460883, 1069501701, 159198410, 220964277, 532522723, 340105441, 628819169, 738607217, 220383391, 672710330, 386965980, 593660980, 245230782, 872509524, 1025630437, 212702647, 1063979163, 689480823, 1002590481, 144073899, 930532146, 647797773, 613467572, 180868478, 387162921, 150330672, 72809606, 195273754, 852253622, 578442865, 351253723, 76670588, 477755926, 863043878, 639820247, 212677862, 283518183, 430149894, 123076303, 646417956, 1034392503, 161165719, 769298919, 471043471, 1045700468, 154597882, 52216889, 688153738, 647414516, 2658154, 975747630, 533034943, 634053833, 1032818313, 138232468, 518622938, 43839303, 268391248, 61060558, 49148652, 678771355, 134854772, 959428907, 338180455, 589163623, 1029032587, 914613711, 475231389, 361304020, 358593688, 260039219, 694856869, 104751315, 812719822, 421278710, 710750745, 304386930, 1015440317, 182056274, 140490806, 675003018, 129476584, 881330825, 1039456206, 307772684, 463451317, 49104851, 168436968, 2974009, 289633921, 246387702, 590507875, 592385949, 204921422, 689668497, 258796503, 363489605, 315725854, 985543223, 977324545, 692065319, 923295791, 1007517602, 843133720, 324102189, 682470830, 710007109, 1068783332, 580373256, 216945111, 592265374, 1039063878, 425766733, 745260012, 773052178, 979455288, 746399023, 70176585, 586130545, 679630359, 1051693151, 632144694, 212417316, 849014267, 882817659, 237855019, 241895693, 891795782, 426607933, 674112091, 450485202, 699378333, 193968378, 953064977, 323320774, 384333596, 645647090, 606811113, 1022254654, 855787885, 767567785, 601531266, 404545184, 582465650, 664952745, 472647015, 972716107, 395019452, 859480897, 673654481, 770054605, 413560497, 1056797463, 458115376, 388240613, 766666853, 1062580100, 776097133, 939195596, 265236855, 718370867, 256164110, 694268247, 23774760, 246810056, 270782803, 328439721, 206026654, 342372152, 817343726, 258092531, 674138793, 799870997, 717679990, 727196506, 531089714, 637255698, 131308806, 1053520712, 882648797, 604985847, 196678740, 726828337, 891467399, 882687761, 612227336, 818189633, 466062321, 431950119, 451260634, 803644333, 137768720, 473897886, 1063551726, 50369973, 413197116, 933027264, 447912274, 609386627, 498366911, 897460499, 987231907, 447336617, 952416439, 752007661, 1058072005, 359010864, 519868215, 991146293, 141511583, 92191387, 37446208, 164892088, 975538754, 824957593, 969939904, 709150850, 685746734, 277944643, 935626805, 740311321, 767429165, 671665850, 824290928, 314898204, 90346338, 293480531, 767472570, 739146030, 891502193, 896129054, 363948634, 707895885, 572582459, 786893296, 744352452, 403742305, 328093909, 1071703801, 589112860, 163105791, 847241881, 929503606, 431400000, 254013897, 222163212, 1036242389, 545597996, 1071132249, 26500339, 885908943, 295661934, 921008943, 202917627, 636224187, 673398930, 705248889, 527001786, 349098587, 1036647624, 745565834, 945357473, 257436468, 847629447, 595137846, 504850338, 1043830578, 396394474, 311963351, 340102326, 434042687, 454328838, 358813413, 390096008, 1037241950, 714673274, 1027418391, 374473934, 351261364, 344319172, 619406455, 1071746902, 531937369, 646123435, 234261300, 466998053, 840508807, 587114745, 236423036, 500253615, 680640513, 1060317095, 553347312, 152058679, 227141608, 877196928, 83747031, 739193343, 101677547, 927423741, 654330310, 846905509, 677163721, 303397197, 418014618, 713192139, 212613921, 688756985, 352952017, 519898907, 473437279, 234875214, 970296560, 455721591, 171831320, 613048878, 1028861022, 646589635, 263058648, 345940927, 218886729, 9840619, 803814276, 217924042, 626053357, 14025579, 121217207, 439392692, 667629540, 296180276, 328485642, 579524820, 127207198, 951342461, 400846985, 251600065, 729668478, 535840394, 913418479, 980655289, 520525302, 718260965, 502196888, 871316460, 614499837, 744467580, 915269771, 367146384, 189074673, 290405305, 854318348, 502990348, 622911465, 24465356, 397961080, 417499149, 200647268, 835944307, 326971488, 666847424, 480847101, 506038118, 561258340, 412881495, 1030376785, 991899142, 559036226, 82858497, 361534861, 120224610, 268691168, 786343545, 880340755, 1038871559, 231119074, 225210397, 1054476979, 224926565, 384157319, 801667645, 16753251, 183108031, 656539396, 665071511, 936576208, 781712886, 690374996, 277218581, 289049138, 470509934, 260948731, 429540077, 149299047, 1000472677, 232504766, 728282596, 314703814, 280006965, 504409681, 51216840, 636060834, 894980898, 127537045, 231971925, 339726863, 999803879, 846408519, 683105764, 1048814224, 27272329, 223089294, 486039128, 589377507, 225595945, 840206922, 906433117, 221311563, 320106248, 1055657702, 650919682, 716918437, 542155942, 408991381, 984991495, 120068065, 796490673, 298981419, 528167982, 116601419, 194956048, 511934017, 141827625, 246686899, 25430644, 247819634, 124599387, 130368842, 625083354, 965317546, 408405365, 673962585, 433391439, 911907513, 558588139, 1017639914, 67171732, 214597509, 588417318, 794662171, 127634498, 297636125, 165405924, 301671245, 774152368, 1040593072, 673725983, 993467663, 33709637, 459024715, 907728640, 30121449, 1027249794, 233338262, 916844336, 233812929, 862675389, 30473149, 262459671, 332610903, 477784989, 1056424515, 450906012, 865395928, 813687676, 43053325, 432958209, 207017165, 667516110, 517108605, 468445374, 1024512250, 809681684, 875619385, 12097133, 427908873, 930887696, 993881273, 26451767, 91575071, 832144214, 123720956, 147136622, 619123427, 994352199, 409649008, 970014971, 305749477, 288209526, 256958474, 981507624, 893255045, 335147079, 741914209, 160445105, 560025858, 991877291, 418679648, 401487345, 558239646, 498775269, 59499513, 997400645, 608314842, 705004605, 688372134, 566418929, 994435900, 535564198, 868676346, 568978578, 407779562, 642334436, 53354102, 1065326468, 1012186370, 416542512, 420211926, 1017679397, 783928618, 93237090, 506295282, 524464756, 533107675, 1009747216, 423387638, 856101861, 254013355, 511968589, 279142651, 185197138, 719104331, 810893519, 779235293, 331582727, 1065015861, 94895156, 1073273812, 1005947848, 909012275, 493333685, 377877271, 37774641, 342944380, 944884159, 317944266, 800706853, 530010838, 300078853, 754859999, 557713644, 697984787, 976740341, 282935629, 956263452, 1060636964, 502923517, 26968290, 818992313, 148854638, 682820970, 663819143, 944402030, 125252770, 929679639, 987661972, 70569543, 690129331, 1048051806, 643181196, 319603802, 217887148, 415251950, 482472544, 360546077, 247172889, 172832964, 823442439, 476132124, 167947984, 877338193, 599962173, 307813319, 164445737, 169314799, 464392185, 1058214863, 195681202, 233723892, 277436205, 90560856, 678727696, 659694439, 311386891, 376648952, 635992695, 352032884, 685210447, 349026851, 1068856492, 825164472, 1020929541, 872779043, 844530392, 574327752, 49108097, 124890858, 446176400, 778301104, 113748895, 346366209, 373887230, 913145033, 416605743, 969648741, 615822401, 1028422377, 590043117, 846934586, 118389442, 327928549, 622048628, 1004258728, 2175517, 525792302, 993788020, 198658310, 839106630, 1036132799, 894762531, 29152587, 1024981336, 808212189, 552497499, 632516766, 562196334, 1050798737, 1037829955, 892674497, 337378669, 757048394, 698722932, 412694574, 573962862, 22825404, 109726042, 866643700, 176898512, 966054694, 925540245, 950345839, 476579599, 763412853, 523265018, 383106125, 373675999, 1061127946, 1028725750, 1063400042, 1055627053, 298732229, 409130196, 201891948, 623373377, 1044849254, 615870904, 1036053219, 1016128802, 650163958, 176335337, 821228601, 121448405, 102191350, 495703755, 803934691, 833361617, 724028497, 200615662, 304575543, 666111753, 282172162, 279145396, 924269293, 928741330, 282472918, 1067401100, 90673277, 525390756, 409659111, 834893116, 700929853, 1054575145, 43235379, 664968277, 846476969, 1030001670, 306483085, 1069841702, 308749411, 197317662, 398113130, 560954421, 338284066, 370782213, 1064730517, 485346084, 588723972, 189787923, 11394084, 869794951, 1047681818, 1023952181, 673910715, 676368347, 893781391, 9337062, 724997575, 264966626, 361470391, 546999020, 791149795, 451590612, 1009152041, 712046982, 537273957, 486654163, 989747983, 106111944, 15383699, 815789375, 862195849, 357438355, 519684852, 571417833, 310248655, 91909191, 658832809, 74321312, 941105730, 233001514, 459608206, 250598267, 993948660, 403595089, 622893687, 1210338, 848756253, 795056735, 450465537, 231874933, 1072333235, 25594820, 33994998, 489997295, 16926327, 867153319, 225916206, 531398632, 92272250, 501626906, 580273595, 857106713, 774267112, 917260020, 814742555, 463577836, 858702411, 8198816, 1021072307, 695387083, 619766797, 871366214, 692994554, 1004029975, 77959578, 11739382, 591503235, 132918512, 1069816403, 1071923585, 318078310, 961507795, 296779975, 141855206, 271574699, 601732248, 124848711, 139466750, 844254243, 435225426, 820656060, 372448869, 246741474, 154885265, 100036522, 324899071, 15028711, 519579387, 4563765, 560807098, 208592159, 530472836, 711339703, 748713265, 937220099, 879612636, 1020689904, 572184405, 278066181, 979818561, 704061857, 445188089, 180906529, 686991282, 411605447, 731616505, 141308035, 991315730, 844695329, 165789459, 129376628, 959461457, 299189921, 244164983, 652422000, 130778353, 474010971, 948959287, 808751342, 544411009, 361860560, 827207496, 232351927, 450934823, 420387362, 672288384, 292504340, 971904332, 108525968, 922891339, 999455117, 766432737, 193915155, 920929432, 617524354, 144712339, 621370557, 724451190, 466852886, 86483277, 287664855, 618825303, 196153152, 340660341, 764798760, 471027097, 36297266, 653026893, 237641431, 748801316, 161839970, 512412457, 699103972, 931592861, 32381296, 1004858595, 1021496472, 595009552, 952534761, 1029777875, 371477712, 876417104, 861211924, 898886039, 900936543, 259390252, 727923459, 128148250, 270128012, 8983518, 638337852, 496601472, 640353010, 1023878403, 752118011, 411130904, 884199563, 270818950, 1039649060, 563400028, 521288136, 159731531, 190175621, 795104434, 814337044, 1015713377, 294684472, 175115926, 884063907, 160477250, 18243266, 197923471, 183208912, 378837, 628180332, 769969723, 1020255247, 364507624, 1006539935, 711275820, 962561298, 119705402, 435852499, 208212526, 108648990, 130650556, 214844727, 106665934, 510285349, 1041439510, 368957661, 263279035, 1002809833, 787896910, 724427075, 815265653, 57389972, 508902935, 660460309, 787684841, 500730355, 216713395, 1002111468, 599085340, 1066290267, 958453783, 201826936, 141240464, 950371827, 302608173, 186446653, 701835558, 491668066, 201698355, 775105752, 451988635, 336441692, 657266848, 1023930980, 316678361, 200641525, 123143501, 6894724, 725224519, 509997091, 45293265, 763639668, 227868812, 868797135, 468334375, 8387209, 645552396, 278561174, 293650534, 989709385, 837422820, 557867424, 791063117, 1038412350, 900746233, 836134408, 567701760, 290753967, 873208620, 912405141, 920785236, 821496617, 380165368, 45636512, 417484822, 1007266952, 277845694, 268131303, 988236030, 864989349, 335958383, 141874690, 992812530, 665090532, 307202542, 425648464, 298015388, 137127512, 194249382, 527078941, 687664636, 692924070, 894452784, 159655607, 795360195, 223580131, 632473519, 267169708, 798346217, 1039778858, 74495627, 951987014, 125951942, 23258632, 870039797, 543553821, 370689737, 421562819, 57337946, 73946301, 709576132, 1067910039, 639131306, 874294370, 122372200, 661990038, 365802418, 10197249, 1067938920, 1000725261, 382625339, 1024493827, 698410012, 260007618, 187553894, 271095471, 837530, 191197547, 508883230, 298050704, 715221794, 208570237, 1034899935, 338893871, 933843870, 459582747, 662721091, 691897696, 1027202666, 547507039, 559422397, 960069523, 723229069, 297448254, 502848506, 229953837, 611107197, 56973964, 796369544, 401912308, 137843911, 124364566, 670371642, 316981724, 53882936, 583384593, 383916320, 871584448, 729207880, 294021219, 883030991, 114352843, 348740739, 586293257, 416884451, 517055920, 731847214, 86738138, 675104098, 617958125, 747859690, 826700424, 204655962, 84786598, 796760741, 1031061160, 892265497, 1070727051, 125771909, 442762179, 836321232, 77632695, 906763831, 463828798, 583589131, 833949461, 370392010, 313832152, 665891908, 446851888, 789767957, 189797141, 465340305, 417109324, 109216273, 693206185, 200364100, 845759314, 738733240, 241784746, 807056847, 997246375, 964266213, 377956450, 400618184, 451699749, 348376987, 250593702, 943439858, 19764060, 279086205, 1030460030, 916619172, 750473081, 686309954, 555963479, 28619880, 389196634, 141952116, 777769040, 298909187, 305577560, 830016085, 168352627, 695295706, 503771836, 178767080, 82159924, 261481979, 1060241351, 768793452, 942912241, 677771482, 205593266, 674457068, 769721877, 289684712, 422818032, 693535578, 712184279, 191965758, 527198280, 68118675, 605456181, 732097714, 956598998, 529170201, 482158305, 281282326, 447334857, 643335476, 150509676, 649236062, 865654171, 1040195651, 153122284, 206037924, 542505670, 361247259, 254123631, 35879628, 159928032, 318990370, 236138296, 142077897, 400802056, 939639358, 756971028, 590579992, 95995671, 873033807, 207138886, 670665299, 501680401, 398114164, 984494527, 453798067, 750659284, 329886556, 478830671, 334307140, 693107431, 758503442, 435460098, 689056030, 57600561, 249663713, 896158146, 337063784, 937821591, 404860589, 795507039, 175158921, 251096151, 199596822, 190645756, 103425491, 731259316, 86989809, 1017971683, 394554425, 338752142, 551580606, 49455672, 943024541, 125308089, 776929559, 951507471, 200685455, 38080120, 60415072, 969730492, 681972893, 676609751, 777359332, 963088623, 820910392, 172255208, 199941560, 1032507813, 900438371, 132671744, 408608242, 201198706, 730433071, 68283956, 424468555, 82093785, 952554723, 15088314, 537536703, 669320969, 222150318, 738443942, 858969864, 405942956, 713924363, 882193497, 464077216, 315616899, 714774839, 658165132, 480387224, 298546064, 1038008346, 443924377, 605008040, 765679404, 387991593, 189448359, 67446346, 876269653, 660593378, 865434156, 886406578, 647982212, 739602865, 838311804, 466878438, 502970369, 991741182, 580553906, 982843998, 723267015, 1062414014, 340179739, 882714457, 287070234, 739207522, 388070136, 679539646, 616896158, 577313405, 1014238330, 905161133, 253804020, 421779904, 424901888, 669673966, 158156502, 725529304, 857587671, 44895507, 198787323, 480328696, 845908623, 795792853, 869654661, 263411218, 226100210, 367975041, 951972730, 173399619, 674558030, 541791223, 766820576, 85846273, 416102079, 413851224, 703672409, 419368653, 9874111, 783147950, 295918528, 957651443, 25992237, 384062796, 549116556, 161683902, 929560221, 872695144, 150777059, 228335470, 381113057, 610611310, 341951289, 777415614, 28703710, 871058396, 118423772, 418202584, 335908062, 786493356, 75224559, 714228952, 386883201, 60348771, 442596480, 482105206, 17456988, 927889342, 906864183, 351210748, 961374244, 25113227, 93235033, 719034732, 202682033, 2079415, 110635376, 48714307, 694383462, 37092168, 409763726, 48455918, 713919217, 181887580, 1056945890, 9333364, 114242150, 630781107, 182290107, 135237168, 111910078, 550861845, 42259105, 52924936, 65070566, 291350609, 128814867, 603376130, 500515234, 22042259, 742854105, 1045167903, 1014215805, 487343594, 501588312, 116819339, 890329312, 864678315, 83627600, 582660073, 585922484, 1017549131, 803587085, 118885079, 677862214, 748376020, 976051351, 304213673, 305068974, 656121843, 659506177, 484530754, 580463304, 4637677, 410602547, 462940456, 101955722, 690989557, 144130392, 850228911, 279239396, 937317106, 844358036, 783772354, 511904042, 977476433, 378779347, 42043575, 1008358527, 752892991, 351038673, 947277524, 352243455, 693254132, 83320590, 727419146, 168872340, 637809077, 307506728, 381469580, 964002451, 93160712, 426543965, 851293867, 76659083, 996565317, 277692920, 235966817, 542108064, 331243079, 508319608, 189960900, 947586888, 402712052, 335886348, 103418930, 806809092, 817034897, 911943778, 631717091, 546176356, 1021194211, 1038962577, 363571856, 800851762, 99476261, 274698083, 520264247, 261964450, 846973715, 650929118, 157001390, 807854771, 434799193, 675586691, 380791790, 902876803, 844190287, 14715410, 156297870, 281133427, 528188137, 1034682717, 784546098, 469021833, 465720868, 568580795, 646302442, 997876019, 540169460, 352823633, 554867179, 1033783862, 802299631, 939612786, 381031228, 411425312, 283535795, 797870666, 952473733, 206292971, 620105173, 665322413, 23636195, 150907532, 549087961, 574648632, 288530434, 502735942, 60566053, 897958930, 241325859, 364244099, 753091438, 959645901, 463913891, 61503774, 95332213, 14138132, 117633757, 835233545, 719332118, 875839788, 385015935, 195549091, 12082574, 707653531, 169383133, 1045288412, 397515019, 807209031, 890917069, 338642128, 215021835, 74467000, 209020371, 984338169, 750418073, 346949434, 675856403, 64350046, 806121672, 376501586, 283271658, 819097752, 216030414, 292901184, 595683988, 277920628, 388786927, 215912064, 37442490, 577953543, 213300206, 341181277, 124066275, 1031188279, 794933386, 941744506, 389515826, 594829235, 711661800, 671898765, 685792775, 341648697, 97263008, 103794520, 306769809, 981226440, 165478189, 714648064, 2162806, 827674328, 829461623, 782418161, 400925829, 780694942, 79212323, 58163481, 260400625, 327776247, 972718032, 202622675, 719511580, 108144727, 486222270, 272629577, 580975358, 889955144, 78207305, 931057012, 700889440, 586238119, 619177733, 366404810, 480322194, 39392960, 1011951158, 83677373, 120654354, 933979303, 278245558, 173757930, 492750982, 392419366, 530333377, 119103912, 288498921, 342299367, 749301373, 54114195, 159204906, 103591793, 397214712, 340243974, 358406247, 552624409, 111086134, 974055978, 577082885, 222720926, 739841668, 573014772, 11740928, 777330692, 436050111, 1050933537, 665192854, 744763937, 362444860, 930770058, 95726927, 992810990, 376304526, 289528394, 68607899, 30231807, 756020506, 302048205, 737014473, 122270564, 30102316, 524625324, 877485209, 1012534379, 753580332, 484305101, 196426265, 836300063, 694525763, 562149937, 313209398, 54092581, 406364040, 948352498, 577926244, 155097799, 415364442, 157676244, 979766511, 106081462, 658800885, 976153273, 859125206, 939865820, 764805754, 559711381, 310935210, 801441704, 917866780, 659585409, 1007433466, 52112600, 102641292, 123217163, 971828217, 166640187, 594990794, 489369199, 1038891248, 927729711, 694733613, 414409078, 931315150, 107179076, 368569407, 242488138, 140171788, 960869073, 925137297, 440946238, 344593813, 1059358301, 671870015, 590333588, 726973806, 166860098, 528423322, 160044477, 862778195, 513988156, 383803325, 861802978, 14759999, 124729503, 685581742, 470774242, 30113213, 374815740, 440487327, 878802069, 738299329, 432276649, 65420915, 307593734, 482856636, 783330054, 320763046, 758021486, 736417900, 173290548, 967037418, 301518888, 653546724, 334066937, 80510675, 618554589, 1020568493, 504518867, 697497176, 377817536, 340302845, 74376198, 477197810, 578643060, 542462023, 976686893, 953920787, 308656046, 939381655, 47585018, 286578603, 738726648, 1065607914, 1027290911, 569660513, 498328703, 1064091263, 173768407, 1023233602, 567207087, 160405425, 287937652, 850525571, 620264660, 566668201, 172920159, 847002369, 52620739, 163573596, 984519237, 1064756681, 320128313, 1068498736, 225796545, 631087115, 990597983, 1028438596, 600346286, 86432257, 859132863, 950727950, 259141596, 54631935, 455349562, 104625102, 245766669, 115333108, 213921035, 156806110, 213962179, 222879172, 991171908, 431026759, 326598288, 459379003, 271634526, 341407958, 439275799, 295627830, 914753263, 31938427, 189319006, 989688606, 163328652, 564798011, 839197815, 317281928, 448942000, 951917477, 265910793, 87361454, 180615764, 171552753, 295687800, 972256200, 942245640, 360375412, 192016307, 107102626, 548894908, 814967032, 730149463, 518251774, 43305249, 131784734, 654344480, 671355609, 798222294, 556992490, 170023004, 665692702, 920743914, 791629084, 1068714273, 183073182, 207645247, 425818711, 589753150, 1055518924, 684600197, 884533690, 99305472, 458488170, 354577137, 464321419, 123211656, 124981308, 774750775, 335319046, 100486822, 825098197, 925761575, 638597608, 204588749, 432947016, 667570499, 290235184, 159389852, 1050786400, 8984935, 25633985, 222302369, 521634039, 273377397, 958337109, 734662589, 540918630, 1069075657, 875004944, 75746359, 840529474, 96925421, 945103578, 1033623734, 247805160, 582902933, 59277185, 353073883, 203416859, 398036257, 1050891974, 898530028, 514801411, 873293389, 782898418, 262855876, 196200124, 900930847, 1014864774, 1008843834, 862699856, 560476514, 130349019, 139691309, 186140794, 501791727, 213799544, 627455884, 794509563, 559080890, 890926726, 105592796, 799143511, 773667988, 805778346, 481583621, 42642512, 908559473, 268566696, 141741211, 766330026, 452248899, 149285935, 800687247, 872837962, 1064312391, 57793868, 736788110, 149172324, 934566223, 373061326, 121366415, 809557455, 36613658, 416353462, 300786892, 840352899, 897536316, 574148058, 931203470, 113144100, 559284144, 682887430, 683751355, 326108277, 313571230, 575725004, 578211721, 788036584, 831443890, 791535299, 986859726, 415991960, 395754045, 196649279, 303321504, 258895696, 159000145, 176114382, 11863959, 588054807, 232160949, 823049728, 86281500, 1004805943, 578830434, 690537865, 131698680, 958780256, 788698124, 322511540, 978957439, 924472764, 725344475, 342184920, 125035724, 477335868, 261309625, 27142071, 465789378, 308809207, 374621289, 987480295, 721415100, 509289114, 773255100, 65175762, 867077294, 329482075, 213404703, 454269093, 760177693, 38532313, 838712781, 617741524, 603733532, 654512048, 443489247, 339181603, 896310434, 555651207, 235898138, 63837710, 835894833, 558741488, 678630071, 89162775, 144711666, 447452473, 131561542, 653854324, 164224967, 167416370, 495776638, 898475939, 990871128, 998782663, 789996674, 645346193, 298491115, 291576161, 576522355, 299423249, 740541310, 673341447, 956107223, 937419274, 173099605, 122634314, 1067655301, 586243108, 944904970, 859586012, 729787103, 99607753, 261098190, 949203479, 40720043, 951737408, 1013669930, 34271253, 19729509, 483344707, 673946149, 31704938, 1066058578, 35831895, 899466573, 977270998, 416389159, 962424859, 951009118, 475705437, 952740767, 679374684, 249515953, 155135319, 811627315, 594923942, 497753441, 1035744721, 618161493, 673850522, 359161710, 233985708, 862186486, 496349006, 1013062654, 672299871, 1008466427, 880115190, 635061464, 854969239, 182497462, 166614391, 400815845, 826344872, 166190524, 445329358, 562066928, 1020510078, 314031361, 823086387, 32794632, 369455200, 360236747, 244550625, 554671219, 476985023, 170347048, 1029459896, 1070569526, 299049349, 478416565, 994293413, 281835420, 859560136, 464225914, 568048233, 987124255, 164292473, 633127126, 1053392674, 629887651, 31833283, 289905744, 370048272, 604844362, 135273421, 476470309, 516337415, 156083527, 856832624, 299147155, 1052896560, 866761998, 485500408, 794487459, 976302001, 491517052, 266031221, 33969154, 831632105, 45199622, 820677804, 439532890, 240544338, 732425610, 604310168, 634783210, 656974058, 241349260, 819533331, 7714492, 938189240, 696159307, 902162983, 938573790, 944649589, 626923293, 976473129, 562909539, 968194085, 9411692, 937591660, 349144367, 598631442, 957381364, 1022014308, 150120753, 97457398, 835394416, 429950812, 483950341, 1036802710, 483238227, 739565262, 262310303, 368066643, 349373105, 266341227, 205632566, 583604917, 782835405, 457729198, 64794767, 737007930, 577972872, 1049487884, 198947325, 131527078, 892882865, 690904716, 842685214, 889293484, 510547720, 976343106, 556358756, 780250624, 968518379, 1011022886, 387692510, 108465457, 608363077, 858170734, 234872087, 553541657, 675998316, 607518465, 706031528, 690337000, 166100442, 77492768, 950434672, 858363674, 814214796, 147458019, 208969693, 872023109, 487885406, 899996557, 1031769811, 867555677, 342837316, 742838163, 640115043, 407708941, 115790453, 854223179, 748670249, 694451136, 911286840, 449176998, 393174545, 865001067, 228006031, 288636504, 191506450, 256908449, 926480141, 111963228, 878537599, 341106782, 278209995, 172030436, 46208904, 397664096, 641024625, 459845406, 906859582, 645625575, 399660993, 957582803, 364143899, 180258652, 364143601, 922111734, 784180209, 741363109, 355710886, 208377332, 668290802, 864406598, 380760248, 685036025, 795052411, 916084170, 390203304, 321379930, 91889569, 837062325, 901834325, 516751862, 545673576, 205741335, 112245413, 89779674, 555034812, 623032567, 5615163, 74984461, 137870662, 780612154, 20299980, 789203714, 500136393, 966571241, 19704742, 514434014, 325747198, 960105911, 577202588, 577586335, 362777486, 138966977, 513971893, 444765168, 251379928, 1049792136, 989526861, 228813775, 525666436, 521051572, 98694013, 903969820, 349151941, 678489602, 258015740, 15766711, 267669215, 526441835, 480428845, 551364051, 914503059, 1050147415, 189889387, 787600243, 799919080, 904333697, 694592064, 219005216, 532379088, 307605835, 210267670, 616976251, 537441514, 773077834, 706302841, 655137848, 290522694, 760699926, 550450473, 976109349, 507562358, 631615769, 452964655, 73735581, 257374536, 538680513, 93920410, 180220610, 597875409, 530235290, 454675742, 298315529, 609735769, 765776051, 1026729525, 314801265, 679354313, 119111399, 357703096, 1044329691, 53449929, 1045799514, 477856195, 98726822, 645245913, 105254330, 333069667, 802350864, 946564473, 544003590, 190144734, 422365829, 736986064, 561983568, 471475925, 656580525, 727821974, 518659652, 411724098, 1072914086, 373318757, 179507571, 765023160, 1024435043, 389441205, 496777307, 862491056, 30050908, 868681778, 722108208, 423201934, 330318395, 540838887, 312032819, 784824519, 267405686, 90329477, 92985475, 720551385, 681554996, 13664005, 516587426, 87524111, 657550163, 547984147, 596765143, 264774108, 595993670, 376244385, 412566908, 870990061, 881964350, 685129538, 884830367, 290961040, 747602526, 506438429, 796763326, 276477925, 634207555, 968030785, 961293866, 78819526, 632405198, 55642320, 39206228, 492436101, 800057819, 537396853, 117162466, 410868386, 110738060, 961587221, 1012563261, 853089862, 414802893, 875172473, 429969104, 10144306, 180825392, 200387390, 559253723, 746602862, 53293011, 335624576, 28738164, 1015850563, 940722532, 74860669, 111719148, 294895499, 682192146, 654834494, 472227233, 74735327, 830751008, 897117882, 1037961124, 778925724, 43077166, 672263073, 472399991, 409836637, 783554760, 131323026, 72734036, 126353189, 699149055, 422334284, 172353751, 688497428, 105578116, 380174786, 894548926, 559322903, 127438020, 845480692, 484572965, 214198132, 340004856, 2723836, 618468751, 645188800, 964401694, 60826640, 950825464, 900327305, 314880117, 396539268, 737647960, 49098839, 38025744, 824482519, 247330253, 577706502, 975727095, 674425548, 414997666, 285381025, 555559891, 352081494, 21603586, 1015072176, 940100853, 398082073, 85391154, 888910308, 662791189, 154747312, 217248284, 931932480, 56677869, 31429188, 287117022, 917248387, 902977180, 1053211889, 447254519, 297734401, 391404296, 478301996, 523267469, 799915621, 1011325982, 22479522, 554464517, 475171502, 1067144398, 693951505, 981209268, 22576986, 495151824, 785605303, 482831184, 606843432, 710176299, 1053561649, 677841562, 55879203, 17798236, 580247963, 937243490, 1030543062, 401353564, 766030203, 316528626, 370501789, 141937244, 100214677, 51141462, 886211474, 922445470, 394229940, 824300324, 825192602, 72468316, 63028561, 934776021, 679891838, 321840090, 814382674, 386212059, 266157245, 902905012, 13855029, 670431250, 544283160, 361789654, 298384337, 573198770, 631988504, 838012978, 890845696, 591287322, 667155600, 835129119, 796018153, 885189138, 728089251, 772671923, 945317196, 568900092, 859441019, 896669176, 353173083, 345355959, 997119883, 705686640, 562514006, 871618679, 359580463, 1059656725, 485773545, 50749567, 91402825, 29546848, 494174468, 668956775, 850028865, 429592813, 725646154, 524247022, 84357150, 391844617, 18951445, 804286870, 557373342, 427237322, 754588200, 198983208, 531698712, 413175870, 854112472, 919518185, 382017192, 836593713, 711167133, 319989626, 776990905, 609675083, 907096429, 707033737, 484978066, 21463139, 981352104, 677729526, 869138344, 901019032, 373404630, 715429931, 820317607, 571281745, 168419976, 910552797, 692710528, 427987727, 754552085, 646666122, 975739297, 1016052291, 166365499, 543726754, 787849403, 886610476, 48719093, 880668366, 213998555, 866077714, 538263655, 653783610, 405315446, 982808179, 1073274231, 275707351, 467960919, 568525138, 897966839, 95820399, 927671639, 785045573, 760084336, 76287513, 645695361, 256690134, 903546602, 899453417, 277936471, 741921376, 861747548, 388726321, 957605662, 303300504, 803211751, 659002233, 267118530, 585914092, 472518731, 174530691, 273407313, 425069973, 645547673, 257696755, 634745827, 965173634, 548483688, 454147672, 762899608, 470255099, 890982877, 355058543, 765541609, 753125544, 840264272, 971626702, 772150423, 593424262, 404544852, 839500517, 447176717, 231423402, 689273877, 345816293, 115566690, 179363028, 266046589, 400009728, 742670151, 715504045, 342878884, 87971706, 81640495, 808012973, 1044039579, 776140108, 257980980, 536429516, 730606511, 618480629, 365852754, 579278991, 818754179, 303126022, 128603241, 812067695, 511707206, 892404636, 703662759, 401539900, 807181444, 911503679, 218604342, 77066052, 563130277, 24929868, 1062915204, 679077679, 716369636, 77564182, 536275655, 963572039, 333229616, 43857313, 630351117, 908314451, 209762826, 387415617, 552260663, 578865041, 530556762, 1046376328, 880685277, 445985669, 279627749, 402581491, 1048900117, 545911266, 8039167, 789939946, 343288545, 702717251, 226064660, 193058063, 260982029, 774086696, 411358187, 848498992, 19971465, 387590801, 219935192, 791932295, 314755304, 14847898, 82318959, 621598297, 212484540, 28062226, 59519654, 325755152, 887834981, 265747013, 98797827, 681260211, 149962638, 242694009, 316185632, 816867846, 523855017, 913880487, 426951770, 508071565, 860410160, 369227267, 611856852, 556331894, 772985954, 219462542, 506671532, 1072450441, 37621722, 993873138, 666899206, 1010006139, 1065790512, 623663044, 677356841, 761583681, 551225557, 686378031, 144885661, 678626540, 309452270, 845311103, 683381135, 564100688, 778128815, 404151174, 52418247, 446779712, 633160431, 837325161, 351428950, 815390561, 467915063, 376377919, 539997932, 824864844, 846850758, 386801349, 806590162, 193141283, 528551310, 402414901, 124239543, 817540155, 155249839, 954787314, 426880714, 446890720, 361543719, 938056404, 863942969, 746650644, 860591519, 74395755, 493352264, 97270292, 193536846, 5197864, 728624274, 954952885, 797954509, 177545645, 107182082, 206030384, 402162115, 842083690, 147435798, 626140847, 338580658, 958844080, 516129628, 262390684, 1070844771, 568244832, 1055663215, 780148, 389889763, 898007857, 700657156, 521408125, 8533741, 455755055, 480626224, 860250563, 455213529, 648917501, 888595517, 655538955, 223178029, 578654805, 543632201, 552718974, 762031675, 796189153, 655638540, 714292525, 502578039, 236001623, 313939103, 37090640, 265360275, 369272266, 258569090, 879000425, 357192487, 122576749, 83258601, 332675331, 411483647, 831666839, 454567215, 645697914, 407611382, 870558466, 998481294, 127266606, 553939729, 494542239, 963278252, 911646149, 972550882, 402551704, 424114864, 245910017, 616330888, 169171411, 815801704, 566689849, 772071703, 317607383, 356818884, 397095001, 20051121, 775354985, 243506925, 112480250, 792116174, 391232473, 57103285, 214740265, 3051154, 969306490, 19954899, 1034890738, 628845908, 695880370, 247244079, 275304885, 681189522, 595019501, 694554607, 756467403, 787786956, 64544062, 293922905, 890395303, 782116721, 267915387, 595327984, 879900370, 125545691, 375479697, 983664452, 1011509644, 503821899, 456743167, 414832355, 6983237, 534347254, 476001435, 984962417, 116143181, 417474061, 621475014, 402131274, 375976303, 841760774, 331189109, 368855207, 1034483162, 357151030, 735306905, 873323444, 437431890, 937531951, 646018936, 1070280948, 602256728, 644439658, 101473349, 481015695, 380486677, 429191724, 808315111, 515850262, 522020243, 541361087, 243443540, 885429405, 255709627, 96004834, 44438661, 404335268, 530283229, 530663804, 457018549, 865645981, 151358314, 751086852, 667810275, 142866295, 467882148, 387162955, 232304094, 983600885, 13047605, 441540734, 615848779, 659047936, 283272770, 1049209680, 195870826, 899401271, 614596962, 849907758, 579897586, 994493695, 748143751, 1056676061, 51263390, 180386172, 76175773, 605439519, 711799041, 461741160, 640828479, 103162958, 349436522, 898302369, 890769540, 374660667, 421801131, 658465285, 318245324, 769945460, 338209851, 418460685, 127840717, 809289921, 706080532, 56218863, 621052334, 920108940, 10300323, 843185563, 539792616, 232915300, 493971432, 984557043, 224620080, 44802643, 297317875, 734259023, 529873428, 669256996, 886406990, 703710030, 660302860, 259677922, 399335209, 875918990, 315915650, 125316253, 801581967, 514336474, 491013244, 656349471, 57487063, 340358667, 285894146, 667917275, 573670984, 145328756, 151181023, 1031362325, 1049337780, 479396779, 551049075, 601019378, 903199436, 840783625, 644550926, 125614941, 435656137, 836942764, 496819756, 1008924951, 150216076, 549219933, 829968757, 727070813, 690769109, 1056699143, 176929440, 711943431, 97567205, 754305198, 540405309, 567132933, 492983653, 464027069, 795513097, 297517050, 371125529, 555269563, 69344957, 5716898, 17710298, 69216312, 640770215, 903855370, 998719352, 409409055, 816285813, 732599575, 127705181, 189085832, 385313079, 509858094, 109416565, 418985665, 1048023851, 265992274, 695691651, 538586400, 543075362, 663996545, 989825079, 310239537, 796873376, 302285304, 110734028, 892743585, 287822305, 727486900, 476233736, 910049388, 558500124, 58500334, 388510302, 722329480, 601780357, 700884826, 844037365, 167467663, 311442839, 1053541224, 177107926, 20426138, 276992740, 897659342, 705131054, 378150749, 201823892, 130740302, 856336387, 364192197, 391553444, 458194101, 837223843, 957632073, 989257922, 804743142, 136142014, 1028090230, 460838431, 857298638, 277018296, 89725430, 212115464, 756247863, 1026051588, 501293804, 449456245, 432832258, 545361811, 382027329, 814133088, 465549069, 609246681, 965253396, 1047667372, 946524849, 231001257, 153996536, 405134822, 526308030, 329037134, 983000564, 999612445, 79353881, 770484090, 700593099, 869841547, 63277706, 300797652, 333832398, 1022648738, 386488151, 1060700340, 357100841, 831261463, 722369504, 979040403, 1054901350, 940334217, 16492093, 916231939, 916809760, 664664481, 993339171, 466993435, 734157084, 729780649, 589042980, 73181176, 280456714, 303327989, 169614863, 133624869, 934521590, 951181966, 156630518, 412272817, 268891091, 68853592, 937424850, 1063723249, 565495532, 341137472, 441365652, 252454211, 398823557, 57795451, 29931145, 295300099, 696921436, 852161081, 325622890, 21260862, 1037169587, 811011548, 644085370, 164239114, 143946268, 274960933, 53134733, 134374208, 1030092432, 939092802, 762885709, 883322530, 222660806, 418337848, 539086909, 655318736, 877428899, 804495131, 440441927, 741280736, 769493539, 319749466, 999158646, 120803439, 16300845, 974002852, 39199866, 207025424, 537897157, 403106701, 606302392, 719340873, 679330046, 517400790, 402471129, 351276432, 836088462, 827805016, 833695010, 693695003, 695440646, 601486452, 806877995, 622238749, 690486255, 54139166, 670282527, 78421961, 262257002, 778343288, 100748539, 88126362, 26068276, 997139491, 432317566, 533556861, 364104416, 288905792, 950647570, 626294391, 6546160, 338476969, 353690339, 1003552184, 732734478, 360803299, 283473477, 749758137, 22587384, 878907760, 819725957, 591947844, 339088560, 256720520, 401640237, 987429373, 341579221, 499963596, 957519736, 421355818, 1026781907, 799144434, 541892726, 789879114, 977846061, 34624613, 302837338, 7156762, 246988023, 669671753, 405781266, 671003751, 306815062, 137993276, 211422238, 796185837, 743624903, 741734921, 1030329741, 514678291, 376823994, 595945574, 969633975, 169189090, 984068232, 1009662908, 805194965, 607198821, 538961838, 11000611, 771424886, 307948299, 554134241, 363476716, 427742162, 629654708, 890455287, 263471712, 356134147, 513376178, 654255223, 719303695, 729666788, 625494272, 1041184491, 208496068, 668328518, 986594480, 533605481, 838621756, 788536011, 413587572, 212565756, 495553979, 555372480, 354216046, 875367142, 230203243, 481441288, 785005051, 1036664766, 699810450, 899700061, 1533250, 713051140, 844753178, 118211668, 683207568, 901594353, 484713539, 495720404, 283088068, 1071060779, 251514442, 79093643, 925001630, 221294630, 972475235, 621828474, 830796069, 442260883, 1067448203, 118819707, 242762466, 793651962, 692189608, 619033508, 16760731, 845908951, 196966741, 298090342, 832867195, 518540523, 134873357, 125475240, 988601764, 364600597, 72469546, 725949111, 398329650, 521630313, 635198290, 704727250, 72881864, 809717658, 161778833, 440077871, 667293204, 174773046, 1024876006, 452637563, 992443374, 457509733, 1039401294, 821641115, 221851469, 426562816, 439250047, 260826479, 658957091, 648817406, 658357160, 631149802, 52094856, 546100131, 832753207, 927913070, 979376780, 398364799, 322053895, 88158703, 397963611, 945596671, 124292619, 546063286, 129885080, 457084232, 673835318, 688877059, 441778078, 829117598, 201310314, 157941520, 708671518, 421459032, 619810310, 289263389, 913604709, 53196991, 414396117, 246085294, 347292776, 787954184, 443470242, 779133056, 771886418, 1043073543, 778456852, 884506157, 615739173, 123522250, 494122268, 846901329, 720817021, 932822956, 914905723, 750043542, 227056803, 673747881, 654730616, 163350297, 898928670, 507050611, 872105536, 519197155, 543281346, 109939231, 958888660, 1061191495, 668186410, 752147143, 101361477, 682530628, 159640014, 754875254, 303230588, 315884621, 317377206, 714783577, 320332420, 541316325, 412055251, 416981714, 521232583, 290094108, 39505001, 1047940794, 784590719, 932030138, 635859601, 720368453, 440798660, 907673525, 781841347, 686479761, 7675455, 38444321, 391899030, 123911016, 721690222, 219384613, 830344599, 367216056, 369345073, 352582441, 1072907721, 827703718, 420745196, 513820660, 390641745, 1060631323, 319339090, 185317846, 127435527, 205315200, 544737247, 507778545, 346782756, 736755565, 177246662, 943850401, 640461846, 624354249, 734672040, 194305, 480797713, 817568303, 488489833, 529568785, 927262103, 1007914349, 557113172, 252525924, 127855383, 673499033, 722357221, 791712116, 460164443, 255257153, 609772676, 873400246, 690707332, 1040186506, 647327240, 817383317, 46312062, 868636442, 190108556, 1001207390, 358680419, 902757052, 368192751, 998953430, 434921025, 779037548, 277667593, 517605626, 316825272, 182250412, 731648457, 564880350, 676220443, 285009165, 867408513, 775317122, 804086429, 658622864, 603871898, 991265147, 251136901, 49634263, 946299325, 105761385, 873383256, 910490151, 1044490060, 550713620, 581357397, 632011194, 684973922, 432454079, 493663260, 397969907, 1058164117, 658220259, 549180226, 729173403, 183673793, 199167022, 1069459150, 140150623, 757665900, 462714477, 46242085, 965358833, 613295320, 936559417, 40915277, 736276642, 1059813561, 290385821, 611748879, 465773457, 840814484, 51730584, 495797192, 307844469, 22413753, 454005250, 671355492, 498423113, 798462467, 473525791, 461855843, 764605907, 101435352, 865555061, 545135729, 32867169, 219792979, 477670717, 1067237302, 437196110, 401109877, 1014004792, 653502993, 663874632, 948251088, 49938811, 1011586679, 997379320, 1021722324, 864750035, 688310980, 680873486, 53180595, 418183228, 1058111172, 328331622, 483766970, 734734217, 200581139, 35421954, 444119345, 752357534, 153001111, 934526573, 43880484, 981927891, 130544117, 624546480, 982378841, 995300362, 688486165, 474722377, 112287434, 96258261, 671986396, 475708733, 100188730, 944424663, 205056995, 1064792311, 573291905, 175761024, 630208422, 841568350, 696053563, 814469786, 1007141863, 747286695, 654753794, 404326317, 909510811, 57272467, 1022339400, 891528189, 750519439, 141712860, 681441408, 145321860, 688857954, 172548437, 1026368743, 276429363, 21456261, 1022424892, 125535526, 437384802, 532895606, 609710362, 712061710, 22697371, 97110444, 590686153, 106350421, 15413417, 1050492140, 168796321, 497952480, 273562101, 429778048, 852864154, 713437446, 137897537, 282069269, 149746264, 76565520, 223252808, 658393955, 345232315, 310719309, 6579174, 480393037, 156992322, 647271816, 872093744, 23450987, 782431210, 648342729, 695270864, 793897292, 497285077, 825959355, 897590649, 233026501, 110136581, 159529907, 688341665, 172604036, 722107015, 727549782, 544070704, 90692392, 778990806, 360496844, 803497722, 974930315, 908292673, 230374614, 1043526400, 767407643, 809363768, 168252792, 640887271, 884355446, 296286394, 992573064, 540909450, 965729285, 111058801, 368508962, 819818554, 28712482, 195148510, 1071528992, 260969012, 1024767423, 609969286, 495011548, 868975538, 806742926, 298614567, 541460375, 312826718, 733091281, 407364207, 452634108, 660051211, 811019096, 209296197, 184997353, 1067500590, 159589720, 924189369, 983046071, 613662224, 936196955, 557623395, 42182743, 961051106, 699357713, 947523899, 178225908, 1057318471, 342115679, 355981044, 14886507, 837800927, 667974772, 23202489, 981518056, 650455234, 1026296538, 180307879, 832033020, 333769105, 611473585, 113104759, 124609643, 803133816, 756399570, 213125027, 774738811, 780610514, 692399004, 80901101, 639872441, 134954105, 614488171, 502390980, 699543095, 32999828, 10606412, 461016454, 361995916, 216000541, 261040913, 707876966, 498791354, 268798656, 1070823372, 839548428, 408207257, 458422738, 959476797, 892372792, 907661757, 771558047, 627508537, 646516124, 46195729, 490056170, 944026762, 1056617923, 782420618, 654383393, 708388656, 733164447, 168230236, 46789680, 485756821, 1013939552, 1033961811, 218791539, 136093287, 555406869, 406926389, 1015932588, 682818628, 630330149, 119419738, 59350880, 709505987, 362335158, 349262526, 696681853, 689772981, 211036638, 286644553, 555079499, 963785129, 652089941, 961990744, 451421701, 173101592, 368550127, 98500509, 619729862, 128576175, 538693190, 441435830, 817276897, 900067678, 14578463, 695160026, 185187152, 595361004, 518059793, 807806293, 501382478, 1035894549, 373266557, 783366133, 647233589, 998518088, 173166096, 130721253, 727681745, 474394176, 226621736, 261940306, 576287779, 452175418, 666335903, 267164702, 95207893, 732712638, 973879867, 1044872640, 393868420, 771410136, 964174229, 938859316, 795719109, 284451066, 1012149365, 928313588, 909080102, 496982405, 893294718, 162102170, 737899114, 1034596338, 173439625, 1006743526, 732031109, 624326146, 137057303, 988997351, 714294221, 1020435237, 756173616, 8491334, 78289718, 98974488, 473175100, 371933613, 925908624, 53837992, 981327469, 270484040, 569482746, 847372589, 318308715, 1006394370, 1043287095, 52237312, 1062430525, 597988345, 947189610, 237481409, 614718695, 171879216, 645214464, 672244503, 530546551, 412479969, 779224860, 530734143, 732811113, 641142938, 733235910, 636057200, 906716216, 4797408, 420928681, 628119633, 60417454, 245953533, 611160334, 820256365, 84947807, 388876704, 317748187, 545955869, 650587893, 225840215, 428452874, 207619639, 627175972, 129494807, 205946756, 161791511, 679197959, 957414234, 436856116, 900681233, 1054813519, 276839497, 989457468, 716730253, 1009283461, 1009602822, 621013072, 646138133, 16801203, 9819207, 638743131, 998369495, 991094393, 828932355, 873665872, 992716799, 831295101, 1033688999, 888524261, 1064087832, 828509131, 636008392, 347343463, 406181, 1068223716, 757623437, 743132920, 698536598, 799960007, 158809294, 701550260, 678090569, 220249917, 1027546237, 671372574, 2684215, 961853108, 798308878, 640212580, 671721551, 965019986, 887125822, 641486882, 497668874, 838747450, 210235804, 697273810, 805145099, 389783454, 61468334, 39734882, 292651727, 377025047, 178182541, 33755185, 960476954, 788900020, 940844974, 498145687, 844244264, 489096380, 89806706, 324649946, 365972917, 39801657, 633990422, 560003646, 253808096, 575393669, 5644481, 847811424, 112880623, 712491869, 216436975, 211129164, 984202309, 343150525, 1039099536, 386602807, 194694303, 241851384, 822063866, 490664589, 554684613, 272548441, 306109151, 940588350, 12733899, 926482244, 779180306, 455471875, 30284489, 731567629, 420107921, 155267878, 375005160, 690694081, 623253326, 877256608, 60751128, 167273732, 686453892, 551922329, 778730521, 419669708, 1055702944, 781561891, 180369783, 369154606, 104174021, 164670866, 840560770, 439538185, 889296706, 70318960, 324483109, 49363591, 694008042, 409571219, 235543270, 696428636, 495274989, 750226751, 1064032781, 959181314, 999083107, 855137183, 959648099, 870863026, 323255083, 347271921, 435648501, 91512939, 701043309, 395685819, 1008232379, 801909683, 712717407, 762247100, 777707102, 407699315, 259273917, 541415809, 71828016, 434962311, 735829717, 571731597, 854897301, 1054715813, 518579606, 746785796, 987929722, 347197135, 873178968, 9629528, 382014044, 265325185, 281988803, 985394315, 932092458, 599252858, 693822000, 181264838, 816899512, 950832598, 243668103, 520420993, 279773223, 755280035, 314229455, 320396629, 599869097, 600173988, 1008332832, 151308525, 120105983, 162160014, 791496307, 672459750, 403427159, 909383795, 236352434, 953798641, 470812865, 261869968, 678220259, 10351343, 820175522, 486722077, 986016182, 680775595, 1038463118, 328123754, 462670623, 218350131, 1067514293, 631088265, 23398067, 209113516, 980356215, 1015988510, 448055401, 84200688, 436466266, 131406341, 192103459, 91829624, 18038738, 382164723, 767088542, 817782500, 691204306, 870511429, 229881218, 875630331, 87621839, 800221070, 1000046976, 32696407, 855566415, 907699151, 384682686, 721867772, 149217180, 1008029330, 360798660, 418321101, 855214324, 1062141730, 231713037, 492504034, 544605343, 516650686, 150363005, 1000316710, 587269742, 524745706, 1064697295, 433802090, 130181627, 320605397, 686011479, 367259648, 257101848, 905419475, 150554379, 987597376, 598679755, 1023035326, 288886276, 963475220, 83289523, 117668740, 631820908, 635731466, 452534477, 1007475756, 306675977, 74079383, 919076389, 675276295, 291296468, 1031379133, 879753818, 373436468, 1005174420, 104997530, 897355688, 462940893, 1015503609, 450788746, 677393594, 223008539, 519759288, 370702086, 412120913, 296298647, 58242546, 127393260, 1012674643, 62394781, 162893526, 610997424, 441400382, 505142383, 861192787, 707136858, 939689855, 459061598, 568404270, 420216480, 900801185, 437703332, 846255303, 67585959, 1073295515, 1040481651, 399386499, 742469270, 552559860, 924238690, 574173853, 256963921, 39252872, 958686743, 853847336, 999538656, 960816796, 847413925, 69755684, 368798341, 236843206, 165450126, 1006849039, 559167508, 466917594, 1030093781, 292259111, 722228082, 1027393217, 12218622, 470824585, 363686159, 242526735, 807460778, 5152189, 121423714, 681977230, 431675814, 647245401, 421820205, 624327049, 985202204, 916942014, 526296005, 452776734, 1035261700, 250418288, 217292451, 682895770, 953016497, 552099924, 19913956, 412535926, 622084984, 715740127, 796631485, 481654519, 798742062, 235693528, 480733452, 511132761, 338850588, 23132345, 870849908, 850379021, 1057039060, 654958503, 486461473, 555763922, 564690098, 328982633, 422250934, 984728645, 97535285, 99220066, 139324706, 1043895066, 427806279, 877806957, 1026884325, 452620662, 891874772, 471391987, 917250555, 933643126, 634237172, 530476286, 931282942, 244677183, 403278887, 1029658910, 84433442, 349691098, 633032113, 647635761, 1035756112, 657242871, 1043542035, 644030523, 196543452, 501314138, 957802636, 814834550, 881516182, 340602321, 389791179, 458610748, 762951827, 198004928, 355064331, 294282822, 763885505, 1067383829, 590005216, 8756077, 170949946, 587441975, 805533677, 183155576, 388675463, 473916831, 631391446, 191565814, 226778343, 1037194154, 768412067, 586889423, 758052248, 658409037, 661339895, 1061311176, 705811856, 10412067, 648871306, 376749423, 700822992, 284805923, 421938804, 454037197, 333395967, 322687599, 622959287, 118412154, 229546003, 324752171, 312959305, 539344672, 842590590, 273794514, 1029228387, 993300192, 167387567, 613340560, 858265221, 451776094, 772698682, 869228840, 915929866, 189083870, 464342688, 915292350, 416073972, 825438690, 215917201, 166134035, 607972335, 147674066, 427846134, 530876107, 111727661, 1053009548, 253164482, 881772704, 654899443, 506211151, 282832702, 832724791, 806003646, 392296196, 93343976, 611106855, 242793537, 869723574, 896515571, 862017911, 803058263, 959654930, 606792032, 366793279, 948740722, 147655926, 1034374437, 624586992, 185090708, 169425695, 97607877, 816241402, 463419194, 747974125, 655092287, 278853108, 920039751, 612513696, 326033932, 424645846, 209480132, 313911645, 747316697, 1005179998, 714678698, 21620519, 818600184, 1054753799, 337313871, 695704534, 264864002, 35631411, 525925120, 802062517, 654383665, 495754445, 879965284, 883039119, 71759137, 751105372, 815570073, 379924165, 1042843807, 618868169, 282110983, 800267597, 8202171, 438112684, 530042045, 244218464, 756826414, 10796155, 270404965, 376132439, 565833731, 964385857, 422507021, 189078751, 150340579, 908484014, 431981905, 570708283, 678422171, 427675471, 561570344, 430129518, 401630488, 930160569, 439723532, 740120355, 930514968, 230924112, 698186496, 1003844200, 516400379, 1016430889, 855651041, 36824680, 390242940, 171866378, 310988940, 199438748, 286459983, 373150743, 406642941, 924531044, 123932807, 994309640, 982968927, 289585965, 483496825, 1010516478, 956825509, 218664856, 451316219, 811485719, 353223022, 32024434, 259755346, 694060329, 601044826, 419127930, 948686171, 395281474, 819367006, 901800163, 1039342705, 831986927, 108061262, 1025063683, 304843425, 52897647, 123436128, 616632167, 923475941, 367908803, 868944168, 615964714, 251656587, 26704784, 940348599, 859274911, 331446049, 8381257, 948511600, 678457162, 505732761, 34146811, 481537171, 631675455, 658698108, 588653650, 323027675, 819084452, 843679338, 37163089, 456277741, 1010379948, 475452609, 62300147, 769221183, 690235012, 164923946, 260556851, 908762777, 277896098, 43254995, 337077184, 189088892, 327363252, 1065460892, 781428891, 82840911, 307363009, 378978841, 748423862, 685111751, 937460028, 156474812, 227331481, 832832483, 792045178, 113071276, 154651610, 951892252, 824093211, 905602609, 642640369, 115981215, 445387138, 728717648, 797157169, 569436405, 149663574, 741526841, 714523284, 108948420, 835137802, 920044640, 107360477, 94590309, 730768711, 67866377, 269692363, 72205144, 653327993, 189386157, 639436458, 101895084, 652139337, 326450983, 845698511, 313332360, 220620120, 207501734, 371953746, 113687268, 311188984, 710747245, 713983694, 1010733659, 1006336673, 995895654, 1002185599, 1002845597, 918989945, 550928869, 834313505, 623927414, 94778102, 983239670, 327690270, 782950022, 201248421, 869795723, 893597394, 357678475, 691848534, 835738626, 109143995, 146494726, 216124140, 15846782, 186285670, 284538457, 759873505, 588010186, 119613081, 244146794, 604841739, 389335554, 210144624, 684781945, 752571152, 207704310, 262190132, 1038243928, 485210800, 823844783, 874952055, 517845298, 506098395, 953895705, 382618712, 780987420, 47881592, 943928776, 115992534, 1005386299, 260269352, 974260176, 565001067, 753978919, 1047098753, 37008898, 393279028, 242880821, 763421063, 868058332, 171332008, 541699383, 986574407, 1042120430, 934196370, 5553739, 81623290, 232047811, 421707431, 970086934, 574900664, 100098804, 657595231, 602262330, 793551087, 440364581, 316440469, 158100431, 410397957, 715825006, 627282216, 156663096, 530161177, 557422927, 1034088551, 562434630, 665204402, 326371924, 668556734, 952702726, 733930274, 518255986, 644274754, 363928813, 319370825, 431031537, 267245589, 740569322, 448023533, 215718075, 980322931, 953395419, 133764184, 887087988, 1012511345, 366240659, 178626850, 853041427, 141886582, 799439175, 94480300, 20186464, 170058311, 13989368, 413156217, 808618527, 796685757, 819787411, 100988691, 716002277, 878714253, 977980624, 1025274924, 1060688022, 904063686, 567786988, 926776059, 556298598, 175458410, 76849849, 905770433, 239987441, 471202121, 868803909, 908681117, 132144974, 285715777, 1025120988, 832089518, 910862774, 66964750, 816311445, 673312256, 440129201, 404384903, 648024271, 830197927, 504740476, 648399831, 371546737, 996868331, 226240919, 601458443, 245647685, 713041302, 200242525, 254305376, 654090505, 479946823, 376643314, 143380813, 482052053, 33459520, 19689035, 457851642, 319952397, 648428909, 851754976, 933649949, 602471604, 348746694, 738499152, 331054785, 432342898, 311546619, 952827271, 186497815, 319452411, 963559046, 250167724, 440111898, 605549248, 103244477, 918273551, 101914668, 928842279, 173513227, 396618591, 537148700, 172701765, 593551145, 371598800, 27020557, 731440226, 485385021, 490163592, 280337427, 882431213, 868650320, 354051113, 692043956, 81830424, 30073172, 517598086, 76003106, 27612356, 706932870, 546710555, 115831015, 1016352627, 714097796, 541917847, 122663379, 730861321, 523823578, 823049696, 712583804, 135017121, 868867767, 13788454, 47085940, 91282624, 768452014, 447562364, 928691799, 308763017, 385654536, 389305362, 114081516, 1026039736, 725204995, 665152830, 168002736, 111225405, 605605561, 408560384, 89016220, 565640772, 31172159, 216777376, 1069040314, 613326146, 423952036, 846563079, 622799496, 634529215, 59324782, 417364462, 385619468, 295207598, 780034166, 458786211, 585077304, 762468668, 217628083, 476517337, 857990936, 469589483, 235737183, 364944237, 71066845, 239094063, 209454868, 80377823, 51192193, 865353616, 370562258, 469407685, 928064755, 879185737, 290523750, 759568740, 503200492, 36162858, 54077347, 699986521, 304470273, 76748306, 81778905, 1026931104, 716978502, 747325678, 14232386, 693121978, 451917155, 871401027, 587344178, 201059597, 504657956, 221701719, 197857638, 800804390, 1004009930, 1024568036, 369207764, 620519971, 704213018, 757194891, 114229234, 959175357, 627120142, 790773108, 1052141090, 688773547, 61293375, 582700474, 727433578, 412167191, 70444862, 764562681, 523774432, 1041019533, 751771929, 516171302, 309073613, 981675780, 291543969, 240725704, 89155225, 787470284, 736526507, 435066253, 59003591, 925176898, 398299547, 824481376, 390387243, 704955278, 957587167, 669025006, 110407908, 571280576, 128723986, 629310074, 848738340, 936745765, 792090783, 1051026233, 335244772, 588153988, 91524052, 136071633, 469049397, 996731119, 3176049, 896787071, 478071615, 1020463537, 920817506, 960682645, 917301963, 529013815, 497307878, 1066175297, 77335429, 886534762, 629266757, 929265595, 501890548, 946822385, 20480668, 738165537, 1035805111, 291824949, 889796434, 391294042, 785996930, 800347016, 668366326, 275415672, 5968217, 138792885, 201921005, 401184265, 142182795, 787132501, 632709185, 702630975, 741387030, 185881215, 362529435, 107409370, 273553800, 713011761, 109610935, 708049508, 879143521, 425481293, 1005702606, 258750985, 438835498, 6222195, 502605362, 105210031, 654485472, 71579406, 367795980, 579513083, 516302688, 240049249, 100062278, 916448839, 188850127, 429761794, 628679667, 511062632, 547450246, 363304921, 1023077933, 942606581, 80825327, 1002561709, 557487497, 347633936, 1043366835, 841185211, 518747334, 310830300, 947022334, 177392262, 387695663, 345665932, 550170527, 361938585, 836828728, 515518237, 1040491375, 799607475, 208454251, 217132114, 622119229, 949926082, 978187202, 373319215, 339667270, 840351384, 698367325, 981280495, 773369927, 721412472, 434527239, 994605647, 349900794, 503977065, 674356195, 346148202, 365056283, 872798395, 720721983, 605580049, 550534220, 52547464, 952941846, 380283940, 1059244482, 173922994, 937589906, 1053470331, 490311790, 909700610, 951961564, 976569896, 224505362, 1065719294, 511877660, 298759254, 576362111, 6398180, 462283247, 522778778, 713124290, 125031506, 390293126, 465663308, 569431493, 1004396765, 924685372, 930930344, 1073501756, 428921262, 658704963, 212342697, 858549079, 118539419, 892355263, 241708840, 129683886, 734355173, 1008673699, 696100080, 439232504, 721190124, 922131602, 309062610, 973685323, 384643787, 791216728, 874653428, 509370019, 177498417, 586322073, 707781780, 237145355, 926838180, 79929729, 205268540, 749731698, 624301506, 1041668844, 36549989, 466939845, 217132463, 759165476, 701538548, 913989356, 714120863, 452696621, 184153595, 644832563, 481209490, 688013669, 168973333, 140124437, 458593510, 51405782, 1029504782, 623252193, 237943966, 549922717, 727639542, 620724495, 195621688, 399194029, 147255392, 612541581, 578142935, 448615003, 143767552, 368054393, 132176659, 386233658, 684637976, 1029487753, 1018556367, 628334570, 1006252388, 633488732, 14251757, 998152790, 210928265, 348340774, 889904551, 888571364, 910080719, 684213937, 487890944, 300018737, 558165786, 128869448, 802519573, 1007789922, 85427936, 262694554, 943518415, 714955903, 202720538, 211216807, 203588454, 384834412, 483731863, 542601749, 980045767, 233393338, 1045516631, 647054921, 535307287, 710428372, 1016877128, 305036523, 387819808, 147012822, 1059833328, 533706752, 961341688, 855189614, 523632545, 714296095, 440460800, 593365593, 755297666, 911504683, 1072508004, 94825535, 470820035, 398891897, 398430435, 311785871, 483014624, 322619605, 394922916, 63348298, 735565097, 390796695, 563634677, 715247395, 227882378, 61294026, 267953752, 119926016, 115377262, 603255518, 311770221, 423566341, 503882533, 709105784, 49433683, 386337377, 447920777, 571068517, 726647123, 163336759, 419498797, 426984648, 522514998, 772597252, 437780545, 846052733, 429746380, 127024541, 1049218033, 107257481, 302440741, 641615098, 443709349, 33635848, 330494637, 808143676, 84682196, 116557389, 195451394, 439649163, 205338968, 85788305, 828701113, 793749206, 583134631, 428396257, 228723235, 345971272, 514959102, 450701831, 301124391, 130719270, 144720922, 712649786, 548355445, 756028743, 652669061, 882179652, 757638521, 318686434, 325277979, 263229863, 413870875, 406461852, 451813288, 146038519, 1031609441, 134385615, 276582166, 1027919657, 719937522, 831188545, 133574227, 144941481, 147556085, 1020153586, 713590581, 11491425, 546221513, 952969079, 244308769, 154567578, 985943769, 402596305, 875756456, 663864720, 722876584, 402081362, 244800216, 381910949, 1001419734, 910633696, 181388560, 947259569, 925739937, 65380658, 976218077, 148115727, 1032184066, 185723215, 1040693318, 897066000, 511578607, 222012619, 191932396, 782479838, 449937677, 312239925, 14750245, 557914958, 272523431, 912186141, 735823368, 551960768, 117588964, 137169656, 457352735, 766972944, 899034858, 131990386, 11068081, 615011165, 186059582, 106895940, 765067710, 889490798, 33500527, 797434875, 612680266, 472348162, 599265411, 560918860, 454485873, 408307886, 733304386, 220054387, 549928934, 35558532, 106261539, 478723275, 77663607, 299750898, 188293039, 848848755, 46019294, 195790679, 54336459, 459942302, 941528597, 961359999, 699228530, 680311719, 798582703, 202293670, 552681889, 27189795, 891600914, 364464205, 127182809, 233032963, 931192947, 462557772, 48358109, 603605929, 15758545, 1053935510, 83973140, 753773836, 1064095533, 356657727, 657997514, 946590596, 920004638, 59494718, 904731696, 729482536, 191458009, 618248273, 606195141, 604692856, 367449793, 650981688, 325065576, 392595941, 447309883, 802697730, 709495990, 241086049, 709303453, 6389065, 1033784979, 314829287, 354803677, 549605369, 816277203, 7046356, 172262122, 582148401, 133719034, 275292005, 114719780, 262452854, 199430999, 811348115, 854545726, 723846065, 71027100, 670600063, 980855704, 723761422, 215475530, 312011839, 443522189, 318632741, 749720183, 1024069413, 925706474, 1025248027, 1042610099, 208349568, 58412166, 137367358, 622465427, 589032412, 699246252, 996795820, 983996202, 505435993, 105818856, 822341794, 774045627, 230913165, 48180084, 466027360, 133337278, 659158535, 955741059, 1011785759, 389614719, 99765248, 1010135391, 611050819, 279873359, 647682692, 839325431, 379374504, 1039976418, 423541931, 555144711, 932394177, 628469682, 490595045, 29507463, 992826635, 545068863, 81881753, 653480196, 122365322, 808039161, 165322653, 304084513, 513848062, 955167893, 919743575, 371583324, 74112040, 581778920, 156377382, 277621605, 294407116, 682284136, 550988279, 722043343, 138944624, 72049336, 1053870691, 964379335, 464474500, 700474855, 767207898, 451406203, 863198568, 397260593, 989744101, 223468895, 452803909, 825779698, 602349836, 623724615, 193850993, 408584679, 1046594674, 91354592, 894558022, 158161711, 489801088, 176407538, 440042245, 853681414, 746529345, 603993702, 405128822, 869811237, 774954639, 533178008, 1011887076, 284629656, 218111095, 194074917, 381814756, 759023130, 215826975, 855398720, 444981031, 684085391, 368546942, 580510167, 771895385, 124373496, 186143377, 530355561, 690778852, 541509539, 760461271, 532288954, 940140945, 596905075, 601097772, 191569634, 124113281, 497957320, 615986246, 399121091, 829848706, 600307592, 836893211, 50503266, 48804824, 272624543, 885266803, 527356285, 234741713, 1010929624, 911865432, 52062352, 1001732507, 879396282, 334928523, 337323007, 938197054, 806366956, 482446570, 75367035, 152465340, 902668196, 176613386, 218656933, 475170268, 436794859, 530152630, 305635654, 2548956, 309586685, 590252547, 762471787, 213158672, 85249289, 237404933, 443063879, 1021456875, 195562277, 538061016, 611399025, 580176005, 54392240, 567055241, 746039930, 375356270, 245065289, 330864715, 368346738, 209710479, 235163681, 19172316, 757598995, 732337375, 517821285, 150045425, 462079002, 312867764, 160130593, 920728424, 25768903, 758184581, 626733118, 408807117, 894313787, 252094137, 374977328, 206100808, 1023624931, 417196595, 28807363, 311221208, 200690394, 750985897, 611173220, 950206336, 179362647, 70226808, 765096830, 432516560, 422999686, 462066881, 397906213, 763986737, 569820809, 374925571, 289830222, 1065686455, 166097899, 261152673, 501393914, 1057022989, 80361642, 76877967, 285475618, 521244837, 154094654, 809942974, 27450246, 511779542, 120033740, 565533679, 208624654, 905294640, 618986504, 868830568, 1002257732, 833478651, 698633269, 1003380120, 877173480, 682094590, 80177849, 222339480, 1002477972, 411427850, 890467087, 1039195589, 203710183, 548248577, 344325694, 310699077, 378026151, 833625167, 600554335, 688009308, 463553452, 543001541, 958835401, 198560217, 877735405, 271780822, 713665994, 21048468, 589999396, 384679738, 520289560, 939327968, 509884407, 395845629, 320729331, 771328206, 479686880, 531299109, 116344445, 894218624, 33139761, 83002687, 875159351, 1019963991, 47035646, 1017588087, 258798306, 521223669, 708837579, 58592088, 185094567, 302028019, 648479641, 985683865, 355517436, 522121564, 882330510, 860086611, 950641756, 217588537, 278485124, 1061864090, 904317163, 626406480, 393657667, 683708247, 673874877, 478176483, 1004086381, 286770890, 457011515, 155473470, 26153408, 615006597, 1021782526, 51020349, 548561866, 81659214, 122423684, 658533273, 296520168, 7676777, 170820127, 686296513, 698184273, 1042110899, 110112160, 1034218777, 845147986, 114856633, 470300606, 966351729, 756987143, 461915228, 409438825, 259884871, 1001633075, 357822888, 592617519, 421058328, 65422340, 355790427, 962918444, 399896298, 720453711, 185817445, 236445150, 284698310, 56532000, 644993395, 963268035, 921575200, 1054663741, 364109628, 687837644, 1048869406, 144986275, 124476259, 1034128163, 571632316, 426387614, 542396866, 773119332, 204870156, 329746371, 130802286, 9282948, 993016561, 1007073453, 437046025, 261461111, 741366276, 1068515782, 248203354, 232511478, 280370012, 14619669, 905532227, 1065463887, 715118523, 512497694, 463766498, 21216735, 806127231, 692130348, 505419529, 964580560, 277381191, 106963327, 1062935783, 571504110, 999711255, 569532294, 876841504, 369781790, 245194333, 106963935, 1046065864, 238570202, 863655888, 59347599, 881222248, 908641269, 103820961, 38922847, 1069570134, 114891935, 117277107, 482921279, 64577349, 70293087, 142263499, 1046594197, 732862841, 844767270, 621627003, 513469708, 943150666, 901407111, 589567270, 267229595, 88302155, 955823371, 469690093, 1004315634, 833053690, 653818622, 965866867, 663356945, 1066814385, 138296056, 789044570, 702597846, 853968458, 329977402, 394067724, 478238929, 730349751, 206436877, 270505572, 1003810569, 13029267, 840339502, 107173852, 496081825, 132384987, 827548351, 130042065, 555428922, 1000429414, 232208915, 27181869, 302137574, 876981238, 627076693, 753826324, 214830632, 317113434, 784968776, 172239648, 410533331, 1071087680, 780671657, 104394004, 680021198, 736889161, 846803034, 606687057, 678910653, 774073550, 596396972, 703474753, 460964845, 84215785, 650562453, 649031660, 669830830, 626006951, 1020214279, 369201631, 711256595, 29494491, 852372844, 718457988, 226061669, 103070729, 699986837, 729989069, 677237271, 654084115, 166044722, 739114907, 57068219, 853110491, 893671587, 208058744, 947440378, 209616896, 741462671, 624601998, 200020228, 54881095, 350799269, 857360644, 873452907, 550481833, 389246429, 506718823, 153335290, 73046978, 4825618, 143696153, 471921535, 229971217, 52270115, 940391608, 172148644, 930562132, 943367518, 133993892, 327903808, 90787005, 442724511, 255652774, 825892017, 417222485, 187798534, 588661320, 912556969, 893351725, 866736519, 285650617, 901424313, 284087934, 142987179, 886427900, 63545696, 759458751, 1046133884, 651163885, 1059752906, 450910123, 1015225371, 662332635, 923901184, 64510826, 257704301, 977336488, 530737306, 258574947, 433497483, 213110452, 407780797, 746902396, 706432923, 568973969, 558977754, 581353504, 322118784, 598608425, 473090352, 739161557, 152338522, 940001822, 493058826, 826092182, 468578379, 402606502, 67110440, 268582168, 1025364514, 117434532, 633183208, 859039203, 919059604, 219457748, 582792964, 323168761, 542917246, 559484923, 298551566, 335257107, 182329892, 278752259, 674499188, 667671156, 967833131, 273089276, 316905914, 1007870145, 732555666, 571673616, 448180773, 723576484, 888453666, 166896960, 661406538, 475062920, 412945787, 810154674, 183216305, 658684624, 304353174, 345394299, 1066510586, 760600565, 980228961, 564469172, 224471440, 819174685, 898099288, 841090896, 185307559, 545646103, 55758447, 287447298, 585270353, 340839972, 195137710, 414640550, 979586388, 419615981, 1043715044, 506076658, 1006371628, 360900318, 426027108, 454641458, 419112669, 32799924, 274006043, 664833200, 950187378, 190550440, 787393893, 335950449, 214339397, 876092809, 1026001041, 255492776, 455673377, 667942099, 172363978, 509449727, 800221836, 584221107, 227007924, 384927046, 615842158, 970782323, 390517930, 386948301, 330724276, 244826816, 588117989, 268438371, 1011828980, 437093962, 1037574058, 168932223, 318769663, 53167952, 886133749, 54044544, 1051763249, 785776643, 724173150, 634697972, 754765743, 296874131, 503517304, 241680747, 568772923, 799195396, 861148610, 572156850, 1058383112, 756314552, 404543930, 984721619, 175667614, 343366419, 494306055, 265141549, 1004991533, 528608079, 335608, 698326339, 293999178, 856181382, 813224412, 630923212, 129860439, 954160757, 1061371670, 578014452, 828476141, 291685481, 979560536, 888881832, 32295431, 1070236469, 691021827, 250838857, 767943722, 839131683, 383466281, 670156611, 342310109, 29641762, 149516019, 280596288, 310395172, 1021719816, 333722153, 249196475, 969422585, 471627148, 214535741, 407559050, 308795109, 465249890, 890812352, 596981826, 755353024, 446597275, 38035576, 564346464, 693034714, 665846058, 702302204, 701623156, 720543778, 456355757, 67314759, 17561463, 847624974, 669884245, 761535381, 423619681, 272217739, 299779216, 695848636, 14405363, 446379055, 290134774, 233560784, 331248654, 225940606, 492973489, 138032776, 375554425, 713524065, 887360416, 1047110568, 60312959, 921557673, 159023913, 302472813, 418377054, 774753231, 107783551, 427752346, 230798875, 562972279, 224571737, 563309210, 848492982, 46407142, 582160920, 381198507, 1048074215, 34895374, 903650801, 986617162, 562893015, 346397789, 333515282, 128494314, 346994029, 306912323, 1009323147, 808343911, 89485713, 725311947, 599344138, 668045894, 654894863, 881397019, 1015340636, 403244382, 66911532, 940612848, 285505173, 628231711, 858665395, 704895365, 266254918, 494649257, 102697346, 629886824, 191438659, 1071537610, 444423626, 467321022, 496205314, 805777570, 852190733, 360748212, 647662260, 524769106, 834047123, 857405867, 648448009, 188165412, 53898682, 391769269, 833259961, 24092645, 337769629, 500853402, 290279963, 1031606930, 850679101, 380713993, 728200929, 598859427, 375801723, 79560082, 831714819, 741484037, 92776536, 752451013, 381890471, 951493992, 157871740, 941929483, 682286978, 1501099, 829735613, 103425450, 423855946, 1065413555, 191115752, 922433905, 180005072, 83640204, 692369735, 631422562, 152974746, 289708705, 878265617, 773401780, 43185716, 189881569, 795566709, 131435239, 292846081, 14950517, 596739712, 297751561, 561032988, 430841151, 792330812, 203582013, 75321405, 128666756, 557952990, 90697439, 377057087, 354372240, 82175690, 593380917, 343351870, 697318838, 796249600, 176889551, 486006583, 971385734, 628070202, 400212655, 978295637, 613529211, 447475550, 765557200, 509825713, 1028565964, 242175395, 113433425, 467901094, 577437265, 1045190417, 188012388, 977279548, 926393537, 679734802, 320490362, 618560476, 1060962498, 484716180, 80890051, 177372399, 689632913, 914268669, 994750086, 984935546, 1045087359, 501907647, 897762207, 32852022, 421645062, 555912974, 950813177, 175539700, 93438041, 870081168, 670242252, 193101370, 636609540, 417808051, 332598976, 1036492651, 774588571, 341321952, 740450212, 265601421, 501949009, 721847144, 850294297, 180462199, 645595580, 223336305, 543159009, 10616613, 268039621, 791040946, 992800106, 527166246, 138485597, 707392662, 898532942, 125422529, 357856769, 382056651, 650975836, 346229177, 367391117, 327032699, 667948675, 374662594, 631787443, 855066251, 1062731568, 542652899, 314655347, 295029737, 319759597, 363511770, 767022590, 224423759, 792639588, 614954116, 258203788, 1002905781, 1066840586, 689971999, 580621850, 585103213, 769147042, 979885629, 1037695984, 958617882, 443664962, 448177312, 592015790, 743033724, 925811361, 435936778, 123859732, 487760713, 1064795969, 278045742, 317423139, 899553973, 1018352817, 48606556, 699785621, 45771009, 658514801, 917524559, 278310221, 510562639, 116112012, 501883684, 328439777, 685738247, 225514246, 401036466, 867046280, 338401554, 174394357, 356862929, 921107463, 1016427992, 228760825, 848325090, 89655808, 687247608, 426167466, 303860628, 756494523, 537827923, 896012455, 11464617, 895891931, 1024740700, 221555085, 154692654, 28140662, 252037020, 362350055, 1043225107, 536566100, 768120581, 1034622976, 880821931, 461113177, 498918404, 513596997, 931335273, 1016363920, 750558524, 253006923, 263064215, 563374611, 519119727, 446745633, 419498919, 783414203, 421337275, 555433903, 273174911, 823936483, 502799230, 326125995, 1053937693, 55424811, 316513257, 897905874, 486279728, 686400700, 527267365, 1067401407, 892403631, 184230719, 179357330, 991254660, 440546537, 134135716, 197570093, 488495902, 402005243, 455797377, 1041794515, 937419354, 1043050536, 344861054, 496260990, 433383759, 253108288, 847392920, 724393904, 143266583, 26220339, 1047085500, 322191838, 1001047936, 1720292, 790660770, 808903812, 63380626, 458284705, 793109047, 631932608, 927962355, 1046751770, 1001323394, 381004452, 465509189, 762194096, 596021687, 372548668, 22463349, 891499785, 352186268, 795540280, 981445847, 934743931, 984746949, 929612156, 493995993, 212622184, 495715724, 792433855, 132611280, 436776986, 180764259, 473928745, 156994212, 691743024, 624258134, 79439695, 676427131, 210476930, 463532371, 1009542381, 789991936, 981917869, 1011561363, 33742509, 120245798, 805551857, 864006334, 429978995, 413313037, 28504392, 217529955, 712062396, 956404718, 297937168, 458839851, 103978886, 849184792, 84380921, 139299119, 363384676, 420277792, 133392752, 746063248, 458976381, 1063815721, 356692909, 65797623, 496095036, 701726607, 104333936, 87457256, 1012958439, 188729843, 527754465, 913191808, 304615865, 480748996, 541616331, 182234825, 621670953, 620608653, 800453054, 95345893, 633822494, 552467227, 1038558601, 403194337, 721552740, 844123394, 936057768, 84740069, 539950408, 940114864, 530868390, 464303873, 157075164, 662227138, 174358995, 260356119, 377632, 584017741, 762073968, 160653561, 246956998, 287996697, 101414173, 818808214, 412874438, 928601714, 897328446, 381541303, 1000783637, 244783970, 137013161, 1033667528, 601551634, 654805190, 1068577203, 1012655128, 955346447, 505838489, 233153286, 663947240, 824642995, 429986081, 691411006, 1003858255, 1038131152, 1063830782, 941596608, 467686156, 447069681, 977707784, 164666685, 353712651, 102022589, 81136954, 241381304, 465334553, 128585598, 801044677, 492637561, 267287819, 350653986, 53841323, 275620828, 435297898, 1007500031, 278432030, 361420865, 941396136, 61535227, 709460085, 688433605, 745009405, 861440727, 1037098588, 632365052, 863834423, 56266057, 133501493, 431033505, 418467948, 240725639, 819676712, 616984122, 308357956, 423735821, 210799904, 609899765, 352908549, 570665004, 247278671, 1002513307, 592118020, 757262358, 1022353013, 748441919, 994595590, 279401698, 195922953, 970051832, 777752409, 282895476, 854316759, 78890486, 427400588, 25301463, 550070787, 821582810, 369258151, 275019494, 569065600, 68568158, 645046245, 887177899, 1014454972, 400858834, 738237703, 643844211, 94188070, 652419145, 838290530, 908487617, 204549800, 977767185, 397835325, 424921201, 702349664, 377621043, 589639565, 483816360, 456588664, 775465708, 207754115, 119999560, 241003102, 45380763, 799694008, 295414917, 982315280, 193738139, 326124435, 159022191, 72745021, 684683156, 909042058, 872898479, 615477992, 228913724, 993918901, 841119466, 429343560, 500706054, 833434952, 962824370, 231956412, 679598532, 819254127, 706357690, 493052636, 909285465, 1066240868, 465436308, 692284407, 747011234, 145562153, 675279470, 563759516, 1057136980, 409989751, 422391276, 452724169, 944010548, 138370031, 1051952095, 354851081, 301671101, 974334118, 413746851, 423167311, 960004187, 71428811, 314598821, 406197202, 126601440, 920555771, 641798377, 875778622, 589367023, 703912063, 423241285, 267198092, 620565127, 919110847, 230966697, 363591927, 654191233, 63719948, 610998159, 1058077243, 63633495, 276804692, 804438803, 270693024, 492255217, 54305003, 1051560566, 996226988, 382695125, 166410540, 370419350, 1065784376, 358616203, 392510132, 1037341646, 231133674, 817714176, 800204037, 93869537, 617527550, 572695656, 1059284840, 614561707, 969019785, 313818220, 697761100, 1037278782, 996620668, 709723528, 379808724, 206228101, 692339652, 459212153, 865508652, 262566922, 991862361, 352010298, 434928966, 948870206, 919156947, 411770382, 972181553, 753226842, 981943208, 934884012, 397277001, 476443461, 182925099, 819887896, 1018194493, 753511917, 749795054, 821786718, 1017668824, 200626845, 951984072, 54792825, 1022135709, 16253392, 350868868, 451066005, 1006783168, 492288521, 608297885, 1039657507, 13295394, 367876259, 541530326, 536211210, 343317551, 530910622, 25874497, 432894332, 380152411, 96116516, 609636496, 42959479, 223386590, 727467630, 579353600, 852484304, 158371801, 822578339, 957621820, 339510286, 45969271, 657971186, 134189468, 302233816, 889398930, 812865406, 181798558, 902791381, 1032382626, 346272880, 936542973, 1017665666, 731708873, 107190452, 591094150, 825793983, 971158667, 335021124, 267561364, 51014086, 644346149, 446293110, 222674407, 177741287, 882403814, 396068230, 594896406, 690204768, 459530482, 705698683, 1003303088, 675482869, 561369387, 182398285, 755410326, 734091500, 654508917, 897956187, 528195746, 429906235, 568246776, 450641258, 64143774, 281780836, 492451864, 135879607, 156551494, 831828413, 323874830, 579463556, 360304464, 321553338, 902584478, 367415191, 711388039, 752797188, 412458986, 884848339, 669942190, 1070374417, 358863491, 826330871, 448699466, 196300433, 666464823, 471645664, 438169078, 538593328, 174214401, 794085012, 440060895, 653625408, 419464354, 600391767, 127135388, 93201124, 1066104674, 738579446, 357961342, 888981346, 878596025, 54022794, 154101510, 849711449, 903371888, 211157725, 1033920287, 663838193, 778904884, 670945304, 889168742, 574803304, 974765501, 336824991, 320752795, 545966217, 345872396, 838314539, 774954681, 256060007, 885722128, 296015794, 95952660, 635008588, 224255101, 320484866, 258314999, 188581476, 1063262624, 233829878, 659465907, 805435064, 840677942, 655325594, 292693119, 583358114, 891919869, 586512791, 932429804, 239045348, 815354720, 1019477925, 615608251, 179287746, 574020712, 650025785, 564259619, 486111721, 54159303, 728698080, 230180160, 809739162, 645676157, 766542098, 619359264, 133882677, 1015279461, 574127236, 249053203, 738744309, 164304201, 1009700192, 787640767, 204628299, 479794259, 390906737, 386348913, 272245518, 693920659, 823345485, 831610131, 660153183, 643448682, 599557750, 446436300, 43011678, 270515082, 830254729, 185202422, 168898793, 507358805, 400670295, 638207880, 309531408, 177702461, 76430883, 96543589, 74310010, 33918748, 234304998, 133738477, 268171790, 895967785, 1025381772, 166416057, 291064164, 869321838, 951616365, 489569757, 307342422, 525427503, 282794509, 759149170, 412952490, 239513881, 777722266, 772328700, 1014638421, 607589848, 86209874, 500988891, 491164859, 698144817, 839713132, 922353183, 744561645, 859585866, 723665965, 330779267, 22709405, 767928168, 930966864, 668103856, 9300414, 803863423, 20377750, 298219751, 970736444, 970580194, 185389810, 718363462, 575201639, 251832901, 29240656, 489837157, 97250613, 575184564, 989309193, 224846700, 628069331, 594448857, 557798856, 362762569, 386731831, 67967833, 248532625, 722720083, 849201471, 1055009370, 813689509, 116501950, 904188652, 645746057, 761785273, 509168230, 730790136, 887174270, 179052089, 220515843, 47220851, 733104027, 192119119, 777148107, 423958156, 450945140, 27498533, 126927347, 718973373, 1006498809, 120022890, 100192282, 1015597300, 628615825, 599576147, 226515203, 737955796, 952329672, 190227882, 285140049, 91049903, 950452657, 712863718, 448901700, 347290225, 761797377, 480138299, 911440629, 488393650, 785238098, 1059623900, 53691141, 975779442, 439940254, 675968865, 671803819, 383202127, 63056873, 239468413, 186437688, 700338123, 415434674, 688185010, 900273847, 518965131, 643389615, 500765151, 521387470, 223324879, 333352734, 692508324, 259899329, 257341203, 1000113217, 724515380, 170725428, 332657036, 343663833, 1066524710, 167808223, 314739952, 636109906, 645137997, 636617296, 765894886, 107929178, 433281235, 24632200, 390583750, 801460882, 361673871, 723411003, 122515791, 653078755, 277611742, 907520147, 179408576, 487603619, 379952592, 887898320, 1030787084, 434212410, 1010516010, 804292382, 42352411, 968085068, 257274596, 878368937, 552019924, 1010866928, 837656688, 473938539, 236346289, 465238104, 456839329, 562539945, 122811936, 743209581, 989193272, 459851641, 1072585037, 887468846, 644130297, 434798555, 529595430, 402036958, 239578044, 397403904, 459099580, 381219346, 455867306, 305395620, 314663312, 372492071, 705182071, 176084970, 742593083, 369372310, 385092476, 784245735, 90453662, 545150549, 587401693, 1055161273, 436731699, 264231014, 597411511, 238482822, 1070974889, 347530751, 316408142, 245422535, 345160732, 28358118, 956937677, 463010339, 696009814, 467753630, 1069056661, 1009998761, 1044065474, 1006727979, 1018876804, 217916360, 498901059, 846568871, 514439708, 649212983, 191698701, 332676152, 57581945, 287494097, 1047217567, 389023103, 115774929, 165799899, 500077334, 750487585, 712030870, 56062205, 226402275, 282778573, 245513402, 90582762, 859071064, 817480597, 237134851, 396219492, 795828217, 788459872, 170149627, 307916536, 348804071, 696181437, 389030626, 384940847, 482359537, 947800793, 484825506, 200931955, 183370730, 118641908, 868822664, 168145684, 393403891, 74039895, 1041038760, 800001546, 772959761, 577290136, 580143572, 298972055, 643038559, 492624584, 384375808, 328987018, 333611350, 744273522, 405808875, 837513333, 866337037, 217546563, 293834001, 924783532, 717910058, 669799555, 101623486, 384292845, 293507892, 484877085, 155034521, 1014143568, 203104000, 786076940, 711513063, 315848247, 514527798, 750367504, 979257881, 42187484, 442529166, 626510851, 876297249, 999902490, 314209145, 442130613, 602614112, 641132960, 1041701719, 247665526, 1001640055, 490874065, 489175045, 851795276, 147009814, 910270137, 740205382, 402657155, 308355160, 1029284824, 553552110, 727367322, 723043485, 260671052, 597542353, 731107035, 908630362, 896840146, 520169241, 889306387, 748837840, 94664940, 172650965, 656987471, 74758820, 39927673, 799807117, 167601277, 946052205, 212462477, 35767517, 375122616, 848356531, 80925718, 994735791, 122563223, 740432717, 923753953, 1047385421, 445487238, 714867163, 733376989, 384592290, 230286191, 677566021, 904049355, 663610071, 744940522, 274702701, 562122594, 1069087123, 1014052926, 804423792, 1016660886, 560042243, 798229573, 783116077, 565761104, 743124481, 129382995, 116972168, 553830057, 2383527, 723073643, 252675710, 140161188, 761087180, 425458716, 654796490, 701651657, 682771709, 20131398, 524261085, 645627200, 723255544, 850658097, 968296376, 981563590, 371733007, 241946711, 143309270, 149728705, 476893440, 21716489, 935004590, 497971061, 267418669, 41684394, 588991486, 146736, 465031498, 92479448, 55865962, 234853702, 665106777, 987881051, 677197486, 930334380, 690143585, 89651317, 882519320, 372991182, 471493125, 703425159, 15186520, 276345549, 667830966, 22928700, 90339783, 119660185, 288244056, 599457337, 474751040, 791981419, 925825812, 85659544, 994421949, 50988103, 297610107, 161736979, 251439916, 700604506, 200740589, 372250943, 578585121, 487930184, 177476448, 965255760, 749263208, 972721003, 202397200, 673616332, 916442384, 1059313938, 377170655, 888724594, 1066472215, 852825296, 14891202, 835287739, 342025837, 150889565, 957844249, 21575573, 988529064, 19679391, 978989665, 206660447, 927966804, 1039022479, 82903383, 1073723921, 413363370, 635004441, 905012754, 300074932, 851056339, 13226969, 161580105, 684273989, 760435468, 953257896, 256778108, 794142967, 17594313, 239929789, 914671502, 654765158, 472816385, 32019845, 967744641, 46858755, 276812197, 649266303, 914089722, 915126936, 882949987, 902639571, 504806603, 393173059, 1012655990, 396462092, 12646638, 603741156, 573343756, 348441405, 562894389, 1041548768, 746998081, 595446056, 633042801, 210638733, 862054237, 860476294, 450877781, 1030174094, 180084903, 310075135, 413877806, 14913924, 642450580, 285198355, 811608823, 775588660, 655288890, 1064897048, 739238101, 341260192, 504245924, 770329822, 453122195, 914917975, 128601017, 402404899, 991909022, 420185016, 3534476, 272631986, 345229212, 30473193, 129383809, 654758202, 241368151, 364198249, 1069908446, 156732572, 742904643, 382005100, 182211068, 179580244, 324258984, 980180671, 910913373, 1020898193, 221778885, 549854002, 1050397752, 359887476, 632575936, 262800171, 307946093, 733149615, 13905122, 425055052, 971753548, 412614297, 382234674, 763116326, 1025156313, 581866611, 840109277, 498734979, 383018106, 714853410, 940749674, 284155732, 1011980063, 959318970, 639117519, 24425803, 349516640, 843576688, 522247218, 371231003, 294347276, 219520148, 393804603, 678730615, 221320402, 923014740, 91420608, 110649585, 358653766, 1055191047, 246859260, 977133568, 101086808, 131029216, 1012539106, 434997382, 187732718, 1069207357, 423199634, 192665257, 628136555, 1048027477, 433387676, 1031180547, 414586394, 149758390, 138222210, 621579239, 165782947, 556957881, 481788675, 907618753, 271153959, 646857643, 608966389, 87968140, 716710670, 1070595904, 781097695, 868169937, 160021008, 321178122, 149182295, 477409156, 228256503, 689058997, 226372800, 656308709, 802955696, 868986618, 88141700, 4850311, 32335708, 765983219, 8703768, 646475916, 495090158, 494561101, 899189951, 1068018678, 568590241, 577700425, 60430263, 572209740, 164364386, 973484600, 350708203, 414323624, 330364373, 595647891, 290004318, 559073001, 484630635, 194199443, 215956100, 335755613, 1070902125, 244996593, 134867960, 64947491, 16296739, 256538956, 779996088, 1004876625, 908109253, 74716054, 334998862, 108580137, 15380794, 769704661, 177267704, 766201862, 284865969, 883903664, 755209214, 133502579, 823250886, 886718798, 1021344903, 142103055, 984020849, 186923321, 33927631, 616627495, 962079094, 199118359, 251107283, 111639277, 488717330, 416397457, 217668120, 304693675, 858645251, 935411467, 148876978, 913534386, 972832999, 83953552, 540781720, 1032941380, 794133099, 275316071, 1010412277, 205580733, 627357998, 423838346, 957760237, 538516914, 328346062, 418598340, 267382655, 49641000, 147547860, 602254746, 737110888, 990960882, 619821904, 492340799, 930750440, 932019732, 438293107, 869294606, 602892221, 439779251, 280014432, 10436348, 547566600, 398197196, 713916719, 317528086, 882472060, 528733562, 129816452, 1022034034, 584938682, 447000133, 138879385, 215844555, 431492141, 366835749, 134348283, 926745574, 436176675, 171375019, 196928162, 505307417, 411434676, 61687949, 820599070, 782585955, 316282549, 267723643, 133187555, 819009343, 690802828, 762642321, 868526626, 470400621, 353598526, 957478071, 902341361, 167438543, 140343802, 558583766, 572534929, 920327045, 223127201, 20176466, 540314063, 154681766, 10433793, 398868561, 449362990, 353360295, 700320226, 544134995, 536301469, 704016525, 735086843, 414827198, 1064347032, 624632089, 142502801, 405203438, 557682088, 848954790, 594373819, 674275616, 813320454, 699749648, 727676494, 487548358, 776565909, 950684364, 1026264473, 231564947, 427854626, 532242574, 748300508, 356428934, 558371918, 832843754, 554993335, 340308667, 374345180, 236304367, 61618518, 553902679, 926884276, 351565075, 880757570, 586244503, 811157184, 416524198, 800309567, 238776695, 929971869, 610180326, 252934726, 293677600, 211250892, 420931408, 371040712, 562314098, 174530347, 1008527592, 856686797, 929642718, 1041967396, 500697223, 773115926, 607051876, 875389000, 707063876, 85199920, 521717224, 200275662, 571392814, 197043538, 743009924, 101120951, 750071970, 687943304, 946205446, 540168947, 499815950, 69627489, 437222119, 360287111, 504826792, 20136572, 343492714, 837941713, 488636972, 405390602, 305520856, 332895763, 798725541, 1061107519, 402926695, 868623552, 241670912, 1069447323, 587338097, 434399300, 171220493, 494460229, 529962389, 683277584, 59908756, 404106280, 273437229, 10764221, 111148795, 147210517, 541027375, 882287666, 912174723, 467480947, 318701200, 924219589, 849730169, 549307968, 579886067, 930376842, 234173295, 11901850, 453893863, 917144763, 864522912, 225591924, 579962236, 885376414, 6687938, 756161990, 532945844, 167335564, 435210981, 432890595, 648895630, 919153485, 732074930, 221709153, 998729887, 876045965, 849453155, 783498627, 783015112, 905567502, 851580765, 51179115, 892629161, 93431578, 663031811, 636673007, 261740026, 1017755761, 660050766, 296859907, 1004139496, 807859217, 888651941, 798430801, 138528515, 341656823, 221028257, 553124226, 314214356, 727379195, 388623195, 612207846, 874637410, 491495855, 661303425, 33290705, 218218781, 316612413, 333445934, 428551884, 50120547, 772115235, 189286482, 531294200, 116608450, 560731266, 406650872, 427865876, 482680846, 12578305, 363955410, 551009596, 1068572621, 62635771, 785622335, 430985294, 368414914, 212735135, 769083439, 761484974, 1059746514, 1019265020, 767294788, 252376358, 439135759, 969344712, 854879463, 506797946, 722724014, 1045200124, 295282335, 462386862, 755010560, 585167785, 387321470, 1041460957, 198859270, 1062382440, 980186993, 533624793, 100784864, 193617138, 300967292, 754194875, 1043448305, 569496556, 564920383, 389037134, 396144008, 801108607, 981292965, 835185480, 617160449, 789937566, 875889870, 228365370, 811151078, 503574309, 840240675, 437899496, 426040818, 567519330, 504839001, 233010383, 150799029, 683407665, 202046625, 994580732, 212537299, 201398884, 823466930, 1071087954, 726812974, 177260116, 849486495, 673751562, 214346209, 786217289, 799035672, 955007426, 947346693, 551128903, 600761450, 936794259, 91315169, 403109552, 946318324, 162479615, 425607808, 1029131055, 943339270, 394987533, 486339900, 228178428, 570222764, 776774401, 717573347, 384398594, 219945383, 606289575, 505710876, 537878075, 40697377, 979687818, 11354089, 168936506, 381450157, 1054915885, 842563879, 578444921, 37199651, 874307453, 533122808, 334254737, 920177715, 733306397, 1050339349, 208716456, 859629753, 677240195, 1062493866, 270933699, 670603950, 891182450, 983911539, 460165822, 62477956, 660465493, 384678188, 675733158, 1066202976, 225283710, 373023201, 704456059, 170837334, 599781850, 209954676, 565455998, 722650999, 761283181, 96808970, 507583271, 330074058, 284809950, 569033246, 405597991, 330105892, 915253336, 428068878, 1057613452, 827127064, 236843928, 580027674, 434168537, 777822113, 288005971, 16155543, 352241225, 483197622, 322916368, 82227734, 472534817, 435507193, 272577944, 1052994891, 676164594, 516895219, 647077902, 98258077, 635465928, 489455756, 142318974, 172049384, 136307330, 571576504, 263895969, 109495407, 140899741, 911760778, 787252942, 309908000, 736716646, 50697780, 265582380, 579455371, 528749600, 223157985, 153462194, 394302338, 26792985, 620309548, 903173105, 676496720, 290683006, 556286495, 336727023, 813194274, 818270313, 1056615050, 407728553, 313630715, 502621652, 838457258, 194356215, 838773520, 1064761169, 852968132, 58304576, 462018919, 777059193, 884319037, 537954911, 788837954, 450406381, 433987193, 619091587, 531928883, 895591788, 400322153, 679084664, 890240276, 467422155, 381293989, 510048043, 336200098, 625785681, 945739565, 773243481, 323228727, 344309794, 80524231, 585927153, 6489985, 844526913, 380271702, 41225779, 621933918, 39527625, 742407790, 364669856, 994176676, 573601274, 678685619, 829871242, 209098488, 1060409795, 878449856, 714855339, 540687231, 4308721, 703854187, 871518017, 663648871, 14222638, 203423771, 807898425, 874241702, 876435549, 814509016, 306928328, 315151052, 641362204, 224648030, 940723655, 343617625, 850491797, 316503954, 712773209, 637938804, 865354138, 745023319, 587925896, 997167614, 1044773065, 619422544, 37225012, 228371330, 577999576, 549213977, 278262456, 703963911, 690442349, 656786361, 6958800, 995772879, 457501855, 95085451, 487052544, 699076391, 852654453, 104065082, 294605166, 408592502, 184287135, 952557069, 971694800, 534051101, 516224397, 149402368, 195172989, 1007716131, 95557150, 1072042189, 331977650, 755043624, 281600536, 540133137, 886057863, 852704211, 129785267, 1011956126, 662429689, 404012473, 939765650, 654241186, 585143382, 726087177, 535565731, 567461354, 172208288, 395743502, 338646458, 623980136, 1048470922, 242585663, 805767460, 17097144, 7333419, 267850667, 398582156, 678374612, 623110215, 151797608, 872644098, 545598361, 148813981, 187339517, 944870852, 68119332, 148724641, 918856485, 856862897, 441456641, 245734046, 245128250, 839429113, 756922062, 1014849947, 829531592, 213901564, 836784376, 536790010, 408486454, 571633256, 765160056, 31819118, 898306677, 349144117, 817181226, 977351489, 796749303, 635461919, 1003942487, 634504180, 261099094, 296496923, 10399904, 991564055, 767719976, 762548238, 1045411075, 574970138, 937129965, 594266133, 626725676, 528316775, 915634449, 65433875, 129020818, 284296130, 594837473, 534520715, 870334012, 537085007, 298512479, 1034617717, 859497851, 748408741, 943219323, 282612460, 468703473, 502636727, 297891829, 1042031744, 432606154, 241901579, 652998192, 866001408, 397755785, 263795613, 604600965, 82795361, 779972763, 980131046, 186388875, 971987167, 390707714, 429763448, 228635974, 512904522, 742869325, 179217745, 652037981, 5046327, 225474837, 781632784, 89959278, 304178820, 1013274371, 1049976485, 511846242, 878892156, 278795456, 44609704, 2887956, 873335482, 716092768, 755269066, 549219151, 346255255, 316473422, 934122228, 735826939, 58423189, 1021358575, 545784765, 750577447, 1039454940, 632895628, 590403420, 641246906, 880696461, 483650097, 944177489, 1001147836, 400763030, 809070912, 543468061, 901434459, 332061649, 857685041, 419225483, 76415047, 492266521, 387980770, 208749317, 531794895, 346874400, 973916628, 775413391, 1071505268, 570104728, 350395290, 655519674, 591655646, 883778030, 699947645, 247262490, 41621731, 672864327, 539420991, 191949044, 903814919, 848600663, 485270459, 421713195, 121981515, 692034917, 817393754, 810340951, 80378458, 870000658, 737955423, 159527500, 359576690, 489996573, 395575769, 272694145, 164426733, 382912777, 382829288, 928103313, 143053989, 947444918, 572059651, 250097009, 27434402, 102454794, 750840101, 1013623701, 973405941, 541807660, 1027278760, 456279927, 922784255, 108160330, 100419815, 218970466, 247312427, 86334510, 578901618, 187346077, 382410309, 932761858, 691133424, 633371160, 1053806794, 435909468, 306998189, 597173092, 959628309, 370694856, 321448086, 836931200, 140695634, 27255135, 209671378, 187664827, 36706721, 931741041, 991693917, 489338487, 788124687, 459912632, 354468584, 747541380, 946731891, 1002832786, 787690494, 911779931, 29722065, 391276728, 728394008, 544563415, 312556704, 341863079, 162325081, 256566413, 588697225, 212766246, 55698814, 1043891647, 686330984, 476367149, 1052481592, 934326580, 704462365, 452924525, 787407656, 484571779, 1037851148, 1071742715, 446999432, 939159310, 679251629, 487546488, 1061605925, 404104901, 325122896, 46849151, 940952726, 920566477, 409077150, 935824046, 901980100, 197219510, 913229292, 108358765, 778297147, 724495114, 935695802, 899329380, 336593667, 87431418, 192039405, 436055388, 781232800, 257467150, 464842619, 91856229, 400575769, 851804430, 672538945, 733544177, 264980418, 714261269, 995901523, 829157686, 450552263, 412864741, 123895439, 319524377, 721933223, 755258630, 1053530434, 20962995, 493722048, 430549101, 922759635, 47768055, 873911144, 449863829, 905361792, 425400225, 544083837, 761903, 695211617, 368718488, 320393399, 204811900, 1037953865, 454472222, 485963546, 294275489, 888579965, 366378358, 213396766, 535869701, 710505452, 104127113, 568318911, 947871555, 428333582, 287565838, 703628925, 303915822, 827322077, 670111708, 563298966, 549925589, 101040393, 592403691, 914409016, 1047289445, 943079894, 562179867, 767973941, 192780627, 418613544, 512373618, 207818330, 612161525, 850710472, 960277835, 581520060, 455402829, 782929649, 673722445, 15366619, 144087543, 933697570, 60012969, 26838533, 341664922, 414200412, 446435583, 502022593, 545988553, 437029698, 994949358, 468002637, 654448166, 429062444, 150055308, 1062279619, 795079771, 538626681, 792646921, 810653287, 732448784, 957651148, 613743176, 975033116, 341061147, 875301686, 286721221, 452583222, 57911720, 476765734, 466123058, 911109093, 120651917, 950956767, 426126018, 111701440, 310137940, 607220445, 1017297650, 494546370, 1044246112, 832556830, 414650943, 132919338, 579138528, 280884123, 893954867, 17028428, 59622137, 230218638, 239043034, 374080686, 980017129, 4563233, 802696248, 759783587, 899549691, 814313714, 250948351, 659614853, 109183117, 969673959, 22827694, 92479424, 852940465, 131157721, 829253075, 833639688, 891924121, 904509428, 313893164, 747759802, 366767173, 500687749, 784835272, 482249307, 934019042, 157276080, 479815946, 1034017963, 875929100, 127440701, 380754671, 493810663, 815660997, 168330129, 538204631, 946244721, 971186988, 847402253, 631777164, 594672200, 879275411, 68664362, 105365294, 702323362, 932982845, 969005031, 666422844, 195529186, 207589927, 959231450, 371601952, 329679619, 1007852388, 137110913, 986369609, 148595448, 580042304, 729422693, 441703726, 591394442, 549539687, 867175254, 843542788, 313128946, 713465895, 433193169, 884112420, 440213924, 996514941, 230926916, 348226842, 429622183, 76715670, 805842674, 370214188, 583837201, 569880039, 569982052, 342095524, 492848765, 963612534, 162312038, 882068600, 341042618, 180788163, 611925305, 981437369, 666517883, 484402003, 44533126, 245546625, 290418270, 550590099, 791852021, 871982090, 429764413, 169475005, 23658501, 225653646, 691206521, 301827139, 1067919643, 792387652, 153629998, 769070818, 894187976, 600562192, 539495544, 803272542, 850671780, 710386749, 700279584, 202602923, 844793774, 406857994, 410205492, 8851356, 884923370, 694346465, 797070996, 501057875, 635392942, 447769440, 811638588, 13824574, 309223351, 650034235, 577315997, 191315699, 1057987268, 718172183, 227241956, 723235419, 339167619, 341040242, 592868019, 283321335, 913221699, 609792783, 930304388, 341101382, 588931383, 32773706, 841053356, 1027559126, 792431570, 601012787, 274668364, 164426970, 548676020, 414154130, 560342543, 1011089277, 1034706507, 730618215, 173162733, 265091420, 367078926, 385250075, 762064615, 150853302, 709075589, 12671855, 1036916230, 850447802, 827610112, 618411753, 397230507, 1072653967, 918810664, 599625586, 245630470, 1008624089, 536107920, 971119025, 633660043, 51131605, 989746268, 242898946, 883219084, 595226717, 61784947, 1001576117, 362846251, 441914443, 545514373, 383206022, 765639675, 473887399, 161335581, 843014820, 632558860, 679357781, 179439663, 292058972, 1021068936, 677493472, 478252662, 814355274, 798326926, 619232423, 430912647, 854434797, 117621537, 450119915, 1029610662, 322527710, 1071104221, 122274522, 593010762, 59513923, 233833122, 642300018, 586937579, 626173101, 918756106, 643932660, 390646209, 969431359, 202705456, 642820895, 263344724, 468438260, 968939694, 988365495, 276704255, 218912379, 994600036, 4671294, 522613270, 1032049620, 693928751, 975089566, 52996808, 998987668, 976404500, 568395657, 741277068, 759596623, 133343644, 681353800, 161942884, 374165822, 729401761, 939193655, 768763682, 575527793, 802499578, 721854190, 710478251, 272239031, 151028808, 143988085, 51115672, 791685018, 431244420, 87044372, 678605197, 372898158, 716523139, 944128389, 416503080, 25160492, 747546258, 1000149427, 274110448, 948241592, 821354004, 1040326030, 867686300, 309760993, 1033617202, 26309637, 278162525, 545925198, 377952058, 786560788, 450361752, 753887204, 795382468, 567939613, 706450531, 994430655, 373295155, 440795933, 866427908, 785949712, 868797155, 131106745, 23424072, 56400620, 620910674, 946143746, 863977715, 297092575, 298081232, 686332113, 640699178, 600472232, 1013845390, 409237062, 967858009, 874667579, 755571169, 380198665, 319706531, 779521839, 871776611, 657139038, 451052856, 201083310, 1048641356, 146015303, 687516025, 500405073, 261695849, 56280649, 1013736838, 1069148567, 261357034, 665549793, 425938032, 967734190, 928049873, 1018519809, 483428753, 96651309, 556998718, 156099475, 594912181, 162004548, 432779581, 711488096, 898443478, 103138204, 54285331, 504647630, 711184934, 388458240, 168039539, 643735225, 660713619, 525795701, 313775332, 249700440, 426276507, 1003731575, 846328369, 376413528, 1011159271, 137189927, 779160051, 125888995, 129249315, 120976416, 861060075, 619769226, 793511625, 59597715, 894647336, 503652011, 402650282, 640612120, 928850663, 12578911, 429322984, 931299723, 737737308, 256662035, 772956704, 555131711, 367206143, 965843840, 652418319, 398549360, 314011001, 982277714, 82378732, 454778387, 28197703, 597865891, 706899717, 779591460, 564719438, 414822471, 412109216, 317041980, 749016581, 145292932, 314514565, 198073692, 276682216, 788271800, 140168040, 633693401, 256010610, 228530356, 988173383, 594957898, 841040500, 876363276, 948580115, 645484822, 1023617652, 940089880, 895728162, 521653262, 858296213, 163315590, 464843572, 962436542, 622011421, 399934979, 228355312, 673638551, 730965985, 298422099, 441712360, 493757125, 3313440, 920295448, 613697168, 573389169, 927349970, 186257295, 91429226, 845501315, 356586480, 803078650, 548385046, 129727453, 202940742, 676070509, 71647328, 13384946, 660274678, 162925453, 574962400, 17157891, 456884067, 23216374, 369743835, 690717543, 94639130, 578356319, 617210212, 811144749, 167882818, 551691946, 8363226, 191840495, 517802559, 507655345, 771680398, 505255801, 474779439, 784490897, 1032784903, 304875547, 97840714, 74278009, 86232834, 470028908, 316065013, 945871551, 116209686, 520423587, 31626141, 266741027, 625578867, 45291678, 266263599, 887034639, 782932169, 538361454, 209660862, 1041839540, 699442334, 489711126, 171392492, 796404989, 706697825, 418928422, 1050717101, 1051130980, 890577237, 755833928, 466724907, 33020944, 273733917, 542243156, 193421747, 520794799, 505764841, 891402438, 575755945, 721247646, 852727771, 642692503, 570861799, 777411122, 1023759126, 969582535, 458802861, 622834008, 778047938, 689835576, 993265714, 229136601, 274968365, 523514657, 911636576, 211133037, 207528276, 510717050, 71004226, 411888394, 839195093, 403335729, 713863667, 630693, 791655976, 584016587, 79040474, 321775259, 1003359936, 241512886, 509528610, 912532693, 1043125524, 579543695, 677940584, 312657819, 449532834, 713074891, 675562289, 978681860, 136860953, 560482385, 936699343, 552137251, 109513538, 296223280, 714802198, 153328487, 273903385, 285671782, 471889488, 1027496237, 145805854, 1037940821, 782306786, 798805459, 983340405, 508136201, 163929425, 10868915, 60138980, 850782151, 172505876, 629010224, 636370077, 303185921, 309115393, 583229677, 471970835, 517837017, 729059686, 49564072, 523274953, 855351505, 37891324, 301346921, 47887545, 917305154, 499932396, 635397421, 640320683, 679617537, 583502526, 400397459, 402118615, 513640683, 20083287, 192018650, 435665920, 912629183, 42093938, 333142722, 984982327, 305705336, 985283083, 522662271, 603058918, 432587620, 429049001, 853806285, 67068254, 644853228, 1013855250, 560553298, 457229100, 840751078, 879058794, 1031761788, 651636066, 892507720, 379113127, 170501321, 656217236, 188614422, 590434480, 431858542, 305680735, 651873924, 263031826, 977352927, 923682663, 71024602, 482684793, 499217377, 304685739, 100113067, 945965536, 305942388, 250465276, 631633358, 826351519, 579462461, 1068989066, 477819476, 253013449, 441444527, 529487946, 717285525, 498915544, 683946760, 279604567, 130823886, 515582723, 93665250, 252922077, 431623414, 684147149, 317730904, 501832325, 12023079, 1031586340, 1010089781, 91537063, 891695120, 847225085, 574818873, 378050907, 381588376, 862533310, 383022601, 352281071, 521115922, 141211734, 732837623, 30262832, 46364043, 1066293939, 832146950, 863804015, 741911300, 806772322, 664665098, 790039244, 860393446, 37733165, 212505773, 1072374156, 925854208, 779971978, 721440126, 1052577670, 897739676, 418339284, 972435457, 13695525, 707430384, 15200785, 830137053, 118471989, 386120584, 485715587, 482323797, 175493769, 112223766, 813618058, 203118644, 58250932, 878237427, 973632316, 762670058, 653594689, 76396221, 2600139, 519803303, 419368491, 11597895, 860136287, 819434310, 943290421, 407775588, 95599123, 85745289, 854778286, 71162730, 150307315, 392564867, 33047491, 48621346, 631848306, 575031969, 55255877, 182738686, 89404649, 462633967, 405882994, 342235732, 229024511, 358095407, 534023967, 824428082, 695722909, 924862998, 400480785, 779504354, 113844878, 115929367, 755623454, 481108565, 85015329, 256309822, 1009129543, 473344947, 293001345, 638119004, 762733171, 791406643, 759337047, 164109575, 632714472, 1067273099, 368497504, 441987419, 618795450, 157013142, 619412745, 167588348, 964988100, 50868982, 728704473, 141295766, 487236461, 113110486, 148938232, 253473172, 334854223, 541249304, 114257789, 905550109, 147844111, 193925324, 639952379, 472045992, 917032415, 59141476, 851480426, 1064719646, 72810626, 253588703, 356626828, 53323248, 519351128, 584362775, 402937417, 822507350, 212249269, 399037537, 390028237, 774891117, 140204697, 355742210, 1048037539, 24378091, 341726887, 1038749084, 483794979, 560316453, 870123015, 78003697, 538341269, 205119591, 649670026, 926492334, 459570479, 261329213, 851167532, 981450346, 666688547, 1046925497, 966186894, 596259615, 884587911, 369911649, 378685194, 205566690, 393060679, 631802502, 844089632, 901152425, 958214527, 823737482, 100171273, 282274465, 721319696, 131514185, 839862963, 9867541, 330676416, 1027503418, 312010816, 144756217, 902234203, 738066640, 992041201, 736081947, 682491173, 318668999, 445055006, 146876189, 395703406, 235839590, 715624348, 724564659, 845341653, 872024483, 562712205, 422356356, 580467739, 982051649, 465959938, 467664020, 321096815, 911109142, 403292731, 255769949, 147210377, 447839333, 1072854626, 663894788, 396963629, 1040950013, 451061957, 835814171, 562389070, 458735200, 386957577, 336516220, 990755065, 636756945, 1035306235, 732891966, 871040960, 184126021, 655125525, 349410057, 527976048, 1025279428, 480124369, 610319476, 839946196, 618610788, 80827310, 880770155, 664745242, 1030647114, 1005367599, 551822565, 550801323, 401630645, 18622397, 429724632, 120133892, 186083724, 43357964, 661263474, 207532659, 783037369, 417975238, 88089936, 938409643, 27169417, 677966919, 843348271, 342574847, 361325549, 777761366, 478289634, 15622923, 729983607, 304286762, 1040111419, 677847119, 858980650, 129629994, 731726271, 189926430, 54085983, 145891121, 596854825, 671714308, 223468268, 251811619, 848197113, 939477824, 282998639, 1010166962, 925342667, 60637095, 328679538, 633537705, 271084585, 271316434, 830417153, 56083265, 783813840, 312992706, 789419274, 138523134, 17905159, 864490489, 474751086, 862376564, 871106521, 207650260, 964355688, 758957101, 755408160, 501691220, 929207523, 773783731, 756138427, 238849596, 861014429, 895741948, 903823463, 71771650, 132496510, 720298211, 697926731, 505768645, 835513769, 148781128, 453707322, 388478315, 543428421, 179026295, 1023404562, 806952085, 225417715, 72567943, 920042562, 1047715393, 291825483, 318673661, 411718483, 894783090, 308848447, 531315390, 654516045, 520463711, 171754813, 695854302, 256882434, 376094104, 644607082, 547404018, 506350353, 982751398, 1001842046, 770446849, 878996444, 916168282, 1002786686, 91885474, 927507237, 300717614, 527997529, 984541058, 533082688, 423162053, 100856502, 149241134, 586674079, 859931893, 558808951, 105381902, 234829067, 574247061, 619598410, 432827963, 91215651, 293800773, 738888513, 348109730, 385793593, 350568150, 143490285, 393140658, 854134521, 943205879, 488797816, 654814966, 189271469, 909666882, 671465911, 356960806, 731049662, 158520169, 950236204, 115727545, 801810259, 569162576, 42373541, 942794554, 59232315, 260510513, 19518441, 355737098, 80471472, 282086925, 883488772, 576044979, 1040612456, 1070380534, 512150845, 583433553, 195887541, 1070322445, 1065508000, 866537880, 684063579, 765641712, 682743728, 590927684, 869527640, 718490805, 729071584, 595563738, 1022510703, 1052342522, 259673785, 190193581, 306073238, 1017463416, 95323497, 741733824, 738011969, 457161914, 369867885, 616791104, 255046983, 994358053, 479490779, 930514437, 487563544, 211808234, 977881633, 413794183, 888351631, 635913259, 588689708, 57968903, 200012248, 953316836, 44394599, 51303032, 661389942, 420187935, 51920348, 793677126, 912684187, 249010208, 361847080, 139727919, 479254141, 383172118, 1031141473, 489466908, 807108128, 119008897, 140255800, 281325516, 588534491, 89527765, 215355426, 1036824451, 590098159, 226660196, 136773170, 819504173, 859033539, 589680448, 549544885, 743150336, 607982914, 825089214, 1055364119, 572395602, 504587822, 690110530, 299042780, 92210322, 508548829, 553740306, 800913029, 522137814, 913690554, 380836745, 548224790, 221555002, 261377790, 714955501, 386643516, 929900783, 652518667, 884758616, 598964822, 852534960, 8780457, 310339698, 995626185, 356032573, 93665080, 264769909, 573121454, 233632272, 467437055, 828627942, 360215891, 1050800872, 462417864, 986481336, 931444236, 324827871, 18220275, 814440555, 940540832, 89044248, 180647348, 638884069, 34833901, 766904212, 217824663, 903260505, 856048479, 179349657, 51658117, 462115930, 44813812, 331594970, 101710134, 493235302, 474225767, 185299884, 620157477, 468501738, 893806654, 301711602, 12383558, 435903869, 448281264, 705422495, 267957514, 525085793, 892233534, 905458300, 358122550, 911579617, 305377021, 839364785, 377769385, 150818362, 447101392, 546812686, 444240684, 692905027, 235947913, 516871031, 458318354, 34716876, 909321386, 435134782, 727746869, 783478401, 429171999, 1067977426, 439122106, 878854193, 185652932, 654468316, 904273159, 219068703, 885620946, 440462326, 608775410, 189118440, 380117377, 771974242, 737808689, 479532299, 458979092, 794997965, 855111846, 534862640, 975384227, 823558782, 311487225, 740427043, 604524529, 866077752, 500687258, 464386767, 868635325, 76030977, 369004405, 1007587310, 98241403, 796430293, 1019581602, 195389520, 946204186, 16345525, 126627351, 395123312, 42834544, 592088658, 687856172, 696919775, 361677063, 507822652, 718922326, 496315300, 849592307, 674872323, 297583271, 365513344, 760467875, 315494775, 792043501, 871172797, 702949272, 386921259, 923035840, 386589242, 546158509, 71907203, 985487624, 946126591, 602449543, 248961387, 935599791, 527207026, 833613395, 105804296, 1073450275, 561919740, 162204355, 980280468, 904898346, 523372344, 301629353, 915447246, 513190344, 654776029, 7603486, 303407867, 893448030, 923024926, 357488544, 183193063, 2991835, 593741461, 118309384, 574360291, 187649551, 46235907, 407495351, 290375455, 119183301, 687752533, 239619242, 262493397, 577745025, 55623623, 863723316, 252189335, 60439901, 113802181, 404128047, 1019817969, 939961055, 312843906, 854748878, 541546908, 783550014, 1064040164, 944475006, 386738587, 100257068, 957780223, 982951463, 826842511, 175098482, 847347179, 666196518, 973463794, 413081713, 800417280, 181558549, 88989101, 244936010, 559098856, 330798601, 914750221, 272962706, 447817577, 789371523, 1068367461, 1032488964, 723568925, 340434397, 1048978727, 211203627, 11290588, 293244793, 927447219, 453895654, 840288030, 320950654, 826294647, 536879900, 129635782, 600358390, 340966992, 870904270, 604960822, 572296274, 708566527, 1010589577, 197183541, 662045911, 331701292, 1041693938, 990108566, 899894992, 603029498, 799388875, 895021214, 434799475, 375423523, 1014115813, 371807591, 48102478, 302416883, 817830862, 292914339, 664680787, 347752966, 163368715, 279425602, 443031108, 617219652, 873118513, 783893405, 470953460, 901650222, 222128118, 837814608, 774512183, 681259399, 1066356934, 192995370, 435547439, 787261311, 297487949, 561011317, 628563403, 919451493, 650099420, 577272711, 43769155, 1002753345, 166590244, 429974315, 70448783, 586423168, 451018543, 706109911, 768494674, 289021823, 444020507, 437756947, 32382137, 171606737, 684303541, 483122420, 849199012, 114429674, 1015043618, 558893569, 312298339, 331412880, 1021213241, 885051575, 1048184545, 362464205, 231809209, 69259615, 420049479, 367303122, 1019866931, 734614166, 216557269, 109925268, 566781032, 238904111, 256291227, 173668387, 630062042, 31888132, 538193014, 610366253, 208033658, 574702626, 745339335, 31813957, 187772243, 527778601, 514328841, 543319643, 677386804, 994187562, 158045485, 34668219, 162840318, 314145088, 584483639, 102896030, 911068759, 239441898, 841978113, 95009870, 397023495, 62288320, 553174137, 340364446, 861595611, 378166947, 317502041, 488117404, 60872798, 259955235, 442782779, 887975078, 498896272, 802488407, 108800223, 150087762, 818849683, 897930850, 855321190, 386998316, 670460848, 148460227, 258100419, 363561898, 189823672, 850504795, 405308928, 449836326, 38195573, 206367924, 361851172, 297180392, 728005287, 88479445, 389363785, 179569329, 1019289196, 243677663, 859563744, 112975263, 478476843, 628961211, 442148284, 389629978, 257927611, 539305802, 973389659, 490951752, 115570428, 200299538, 276042295, 313933273, 989292485, 189466882, 299706566, 978296798, 153155100, 461919941, 105538988, 133603159, 102719520, 1027856438, 45115027, 420067628, 180599563, 933248773, 624352104, 990122248, 994111309, 1057603231, 591317538, 371775708, 648680182, 615856073, 934837223, 1021999538, 17311402, 249217779, 184100963, 73369332, 75072744, 89601664, 894353242, 789396358, 251818713, 215083184, 96802570, 185857408, 590016024, 499233882, 499925930, 356359402, 983308579, 164622418, 732634766, 10320212, 593011900, 442097346, 184228665, 127317146, 554721422, 342485500, 969758452, 907252676, 101954488, 481109237, 464969284, 1028543473, 200592216, 425199854, 766151874, 30989621, 875754485, 992345326, 848464838, 432120325, 933542214, 121299642, 433418305, 1018014108, 587791480, 371713031, 664564624, 768630392, 479703034, 937691265, 661978242, 773315156, 195028517, 176821337, 1010293424, 461923808, 484270168, 463234307, 522945421, 85409903, 1054691082, 713697692, 528060891, 639645926, 363777264, 182212629, 40613728, 991185795, 189150041, 674971909, 714332558, 879471158, 59539678, 525076902, 1023412417, 803718842, 605647855, 861186316, 962282146, 705008920, 413748138, 366898179, 665496128, 348391113, 70406738, 747119536, 948158101, 101838800, 594515215, 233244722, 515805507, 506906932, 582344980, 755267300, 883129237, 707532807, 583274732, 435296649, 196692057, 479756235, 558758924, 281192396, 735202295, 642187387, 886842529, 711375723, 845454353, 39505032, 1004226560, 468265222, 663160591, 767414834, 249700423, 56842775, 628764141, 250947608, 31641907, 801500539, 355990068, 767543606, 429733584, 206137767, 1048193726, 514153012, 975243834, 645980812, 1063887612, 178264173, 365431926, 76143797, 4796672, 550676301, 342681612, 988680013, 603960633, 143560740, 909604215, 723886583, 620620173, 263245409, 192014078, 578233834, 415571097, 225250078, 1040330431, 1031233537, 805298889, 621824376, 288630830, 744506955, 128405049, 637442709, 518245339, 209711501, 777050919, 478002014, 877301096, 369305020, 322990762, 245103086, 757002192, 51294795, 447861568, 766940197, 127871365, 774638221, 131504084, 638156722, 486273819, 361829631, 75702483, 314753046, 615858316, 222544334, 387968877, 42799875, 121826122, 182529829, 1065438172, 832163347, 406535808, 371190430, 105031893, 135637064, 485411247, 424323913, 844603926, 894738542, 185600729, 221153171, 150035341, 765749765, 385097048, 546973003, 928194532, 361211794, 902380109, 730009561, 24648012, 24657585, 1065091363, 844961258, 981674816, 938976614, 176547805, 494738598, 196589341, 1030984432, 298068239, 764455878, 810937848, 149133647, 98491919, 527047676, 764771565, 793853922, 776430833, 743044653, 731715662, 145437906, 490994609, 1059986064, 601887775, 478429298, 376161537, 668117888, 615949923, 110307415, 636659308, 713417293, 863047730, 834510842, 678278258, 905855398, 1001027896, 209475292, 379819553, 910667530, 607956237, 734847765, 274286767, 480563130, 174757655, 108837651, 700686753, 652414990, 574331445, 429860008, 816320515, 573738764, 388285994, 95577357, 785157267, 609932400, 789475464, 278287239, 486432862, 660553064, 680473888, 299785752, 392091627, 253559299, 933658033, 43750227, 30120353, 290745693, 607620933, 53704184, 519621190, 274964014, 785445190, 955341092, 568638678, 20769163, 230587579, 667080708, 390860789, 564176738, 24056136, 178664539, 54017644, 339979937, 71782095, 992984934, 393970405, 1003066997, 606485575, 589432754, 725278785, 516356763, 199495992, 447162249, 1006841449, 79563974, 942680531, 597489436, 899668167, 877232526, 147881959, 1046537662, 362511699, 924284052, 198351587, 201842388, 442877645, 386674384, 879040024, 206703439, 1003832991, 573082972, 443019904, 120459858, 1026688422, 654915982, 528557050, 17239319, 237543779, 284337000, 874648788, 985960254, 286992590, 403945028, 42640269, 216314591, 945154045, 143187423, 287294667, 459776814, 411134667, 522280476, 235545622, 1010113580, 762935811, 1015320174, 783398313, 68612674, 686095067, 536341204, 706614355, 196501569, 532209944, 96570275, 328499446, 114317500, 211502172, 60802757, 199110673, 218514079, 632677579, 21697079, 500662689, 345145424, 356313449, 238531161, 814805284, 183577475, 548971560, 655091018, 761927415, 371445463, 143082652, 456442274, 83899541, 950875640, 480617556, 560874220, 668198731, 305724734, 662608672, 560461776, 1001786396, 931565806, 1028123488, 725900631, 949266692, 117438689, 268897506, 55813702, 746417657, 517671866, 152741763, 182027413, 104126286, 513298468, 438850809, 105398826, 818377417, 31697705, 346712847, 256552567, 576639507, 845174726, 441470229, 984709089, 838474223, 143213500, 567526408, 787337595, 584779739, 585730438, 54917512, 272127909, 817220130, 698651512, 502955790, 1052621871, 210526182, 984050642, 456875459, 52864653, 729062278, 424925508, 833096063, 785936681, 333925624, 757656471, 101784837, 98909519, 346601507, 70702396, 144732193, 855448599, 245510752, 652929586, 955257584, 3422419, 342823248, 953703089, 984368912, 488416847, 76832018, 949512346, 728422429, 328123444, 600548242, 60223375, 954931734, 930171262, 837098959, 988370304, 507386613, 933823989, 995647680, 304681113, 908608499, 431474776, 457511416, 1002340975, 962245002, 828374303, 456397275, 541233924, 55645522, 712940803, 866944282, 802173223, 591643294, 381039601, 995713469, 73385340, 263560640, 364060590, 1011744185, 167907347, 707514255, 697279120, 108168215, 970251170, 845802792, 143484365, 116552827, 1017689281, 93539855, 139078925, 459007298, 271712439, 30589053, 724379448, 246604748, 920186672, 907190163, 226989612, 960815371, 177934918, 471499788, 57700900, 909007005, 565210274, 926068112, 196387276, 900039730, 282849166, 318992191, 755467789, 431223363, 744503612, 368947382, 817836383, 914770763, 297625008, 1037375248, 499669697, 262362539, 51421111, 888623647, 533664863, 13253760, 272591471, 1001644993, 289154662, 595354793, 43165934, 933420974, 499223197, 626612358, 921757166, 801025692, 339259681, 70369620, 1010843936, 593783065, 674350817, 209542013, 133372291, 1045621439, 1021443117, 94271857, 220636083, 700825786, 470604469, 115798544, 408117210, 426236323, 301932027, 970314948, 424652405, 491108138, 140891779, 170220636, 790462607, 303791339, 800225385, 955228840, 993739922, 961155725, 684490229, 262986994, 499856662, 430786794, 535085268, 122897338, 1069679460, 985309920, 612012191, 48938640, 677049788, 406025448, 407883836, 757207239, 350844454, 909999792, 307669235, 1062260477, 107351184, 747971089, 314405380, 585895795, 336025946, 174860134, 512431283, 505481552, 401910166, 810657360, 1046738335, 6757949, 444771971, 625518445, 486141311, 79582518, 198965141, 402767815, 531718538, 404786930, 131797285, 24138087, 718575036, 863854938, 279308340, 273854298, 488014496, 628963265, 262807847, 666897819, 125095063, 719290193, 97082567, 148076710, 923073431, 69176866, 973410835, 778757606, 333932605, 902710207, 823428478, 629203479, 887196820, 938196373, 8710847, 1018037423, 1017790855, 790444537, 610867953, 461672231, 199289266, 935580467, 158989176, 520332227, 300544490, 740923820, 679169594, 607530732, 1040635110, 578971758, 6326633, 84217255, 627488400, 748139330, 1070906224, 33048638, 825365584, 777303553, 95953502, 457133821, 421910985, 57832465, 995146661, 559328607, 871023873, 533805490, 387802450, 475524954, 16506203, 542966992, 640425438, 328186444, 500746454, 966714142, 691283736, 598421081, 571947081, 281378329, 1009537078, 896369547, 291567996, 563244658, 162360349, 1051856531, 628882718, 1032299430, 182096976, 174840345, 829955853, 519623050, 120070663, 569292913, 54079430, 651932872, 1021517040, 521700871, 974068731, 285926235, 293648025, 610308432, 262212314, 289070991, 742329308, 978148302, 20192753, 292931167, 42141075, 882665445, 936881605, 633063435, 983959944, 174826625, 460583531, 286660546, 694018283, 564264788, 116028926, 226864567, 599812182, 550699970, 915380601, 913614495, 102484099, 322459439, 1029246050, 139707620, 649958777, 624347829, 907554949, 229566176, 357295220, 70997991, 260573432, 520545220, 48225780, 869866994, 902994047, 10761201, 809545210, 170003680, 119886732, 641508863, 838369268, 517949558, 702327297, 616149787, 818154831, 511688085, 541780933, 968506956, 884010824, 558690119, 850297618, 1032426318, 919605334, 979891912, 295741650, 89265744, 141709146, 242359093, 681756733, 464918519, 886713198, 974150376, 700399715, 572252456, 164538711, 447066927, 39200024, 910807383, 901748140, 886730987, 393460647, 1010682522, 871080062, 766582406, 973129574, 129183940, 250742892, 175546673, 585853410, 344441302, 401671727, 785106465, 580823930, 166623192, 270112483, 135517466, 230760684, 53366954, 444895589, 649185877, 777685862, 687136549, 572343137, 432168143, 770399012, 832734037, 292675591, 979982618, 226317474, 164223324, 85387307, 374863885, 1034042330, 530581945, 719233216, 760190706, 567222556, 199347806, 792264765, 8991928, 872519629, 633542123, 999491128, 413829072, 238907306, 461683142, 896262307, 179699298, 315865756, 83896066, 395725151, 603159417, 663018371, 286300908, 316369219, 576599325, 926492967, 280135049, 527984818, 7689115, 875846818, 310305448, 65807575, 864024058, 102725988, 317222807, 690535524, 691839900, 462357281, 404973911, 858229049, 12621458, 469181148, 786698425, 835129262, 109655593, 96423949, 735324749, 1038703893, 443729469, 943701351, 386213478, 222602570, 1034716494, 1000913015, 389989645, 730483340, 158337091, 631586075, 638951585, 964700680, 58404726, 1037417382, 830643692, 20329764, 866875792, 690734369, 177637389, 211309514, 639371749, 777430035, 760246675, 711185918, 136344836, 876324978, 741159034, 1013473543, 881234959, 425175065, 372233442, 328676803, 240547032, 398508162, 971721201, 895333702, 689407841, 542169359, 34555706, 985206572, 598510154, 897285801, 804151096, 506307241, 132241086, 893942446, 863877450, 933354400, 1035689004, 119379463, 545345142, 222205973, 95059483, 918016419, 37130032, 719965571, 865396141, 923890968, 913569315, 215990585, 407718346, 952226521, 327146594, 613781006, 21998841, 223396070, 638177405, 487293838, 985543706, 417146232, 723364172, 488389218, 97331887, 743277852, 665661271, 479183183, 328188959, 447957966, 680841370, 174274377, 405301375, 559308033, 214179905, 9157349, 356513615, 615044050, 82363966, 986559045, 264532601, 435185750, 984036177, 1025332288, 641216123, 678320241, 476478300, 400545589, 557655085, 762210534, 664217981, 136106828, 31913396, 510083915, 531402731, 704976217, 865803600, 842538420, 529283114, 1059759356, 963484046, 290494049, 973007604, 223973758, 525157669, 880497851, 594049252, 862488444, 849542554, 453548292, 439441755, 82282265, 376616900, 17475783, 394392827, 614569710, 976827536, 740998715, 656457406, 593558190, 867561686, 29052153, 973852421, 543472497, 290476703, 175207966, 259515842, 479284610, 276969242, 826214689, 52040745, 518887291, 955128130, 930311616, 166879989, 858255233, 560966321, 280513475, 328060114, 985685163, 907149992, 674000031, 521377148, 461331518, 566649983, 850857506, 175755745, 912228894, 1057601215, 889561894, 379800892, 489743298, 540258675, 794211543, 703403395, 626514194, 327088089, 995982014, 798573381, 826656364, 595559285, 479283855, 599651544, 854875263, 578546759, 402065765, 630299534, 746710549, 596495178, 511394700, 962819287, 456011833, 196105710, 67542539, 984808755, 813814028, 695567910, 1023833666, 30042891, 566028084, 439893163, 910774186, 858680566, 1040772957, 275360179, 1018075068, 449241241, 484055295, 765825300, 780884172, 67750171, 372496215, 369880448, 258782899, 561623580, 265649888, 954062606, 988071956, 934187093, 586381409, 514958523, 1064102034, 117968188, 987698048, 487210592, 243535458, 938539661, 615410803, 623566824, 537838716, 960964295, 409358977, 900020518, 880666987, 568047579, 620038188, 640015988, 548845065, 11782784, 391450077, 373643412, 407160030, 1042499111, 939718204, 220790210, 146200743, 733278058, 888691441, 575368088, 133328138, 771015557, 126620604, 808111961, 715284679, 836566773, 879780767, 1066951548, 532640483, 681605333, 323702176, 448057721, 203685041, 724490976, 439449191, 209123278, 1017945547, 34513806, 671259500, 567517311, 201910317, 791116898, 1057675374, 759041552, 446716277, 304068702, 536121196, 441841464, 445867913, 463847355, 1052405573, 208880268, 689125746, 328359777, 471713219, 423923151, 773383007, 594994943, 981597041, 54740188, 311273921, 728334777, 655906600, 369895361, 666085027, 408186420, 1006059124, 210654747, 974081683, 80360319, 911282484, 486551321, 809007857, 9488894, 28910412, 373059534, 115403881, 410918044, 5483754, 441177803, 586435858, 287135091, 835952278, 778749244, 507566451, 904236510, 396527903, 1022174110, 452454755, 216142894, 73437545, 727514110, 1020325992, 26794385, 162473580, 579112625, 565224204, 702367737, 666975960, 817322847, 611502625, 244851462, 447724218, 106882788, 464939029, 666913348, 497704381, 289865806, 33070122, 812421746, 571921754, 460637886, 498985294, 884866848, 324182213, 691355358, 129276407, 954797157, 661677047, 193718407, 180395052, 773437536, 836471981, 347556860, 868796036, 838592783, 574523226, 609433769, 915058649, 989113673, 661965905, 544215515, 353850774, 305132044, 789623185, 550864340, 255869833, 521326489, 1015608153, 677403155, 235341203, 82464636, 189802379, 89640019, 561057654, 204362434, 293524620, 586193465, 934695685, 437819265, 486912488, 299837341, 318267590, 142347752, 614592991, 683593133, 81513815, 497204164, 1001626273, 276770965, 612520153, 302427865, 290826524, 406922633, 651734808, 632338269, 641496326, 958455438, 188430015, 1059130910, 875721053, 412506775, 583520698, 224258096, 857386613, 313589770, 905129216, 797677497, 346649177, 906848658, 1004949778, 842275406, 692090043, 526330874, 288023700, 109703413, 339151766, 412208693, 734050582, 281369043, 739325181, 561221114, 288837359, 478882665, 901794655, 988473891, 316662411, 900170915, 8509908, 657456125, 826352371, 250482525, 592920638, 946422690, 167078710, 125038250, 363432191, 469595257, 411405252, 692991509, 632782375, 965500303, 487660945, 94106895, 33947160, 543562763, 876718287, 943657237, 898692432, 950782428, 8535607, 1053664850, 584739835, 91937704, 611821273, 337593707, 1000451190, 126507789, 878366689, 34104517, 77956210, 475901676, 219594950, 753373111, 558347855, 763834553, 222211471, 224642279, 675698044, 766992179, 467145082, 312021220, 36961537, 437024995, 637736423, 98444598, 866350109, 811987926, 1016039205, 446687242, 83536728, 144877143, 1030506922, 153687629, 2740413, 340078711, 668004050, 265667054, 301880666, 891684779, 1003636443, 540829737, 932239357, 136458812, 183462634, 18511613, 748403316, 661083020, 805141307, 7121072, 430381878, 153216451, 945436575, 631190419, 314315872, 463616928, 290166066, 1007389276, 71855137, 506551783, 520727731, 448790813, 856205202, 304828147, 813311012, 694805117, 132458614, 317315700, 611231509, 1069216280, 180928979, 1027487239, 576128393, 410724204, 914000994, 719926817, 87638696, 115064216, 948282827, 765559573, 117907445, 366266909, 364011596, 581587058, 878413684, 88526935, 603003287, 1035099533, 427541748, 403706357, 545138300, 989495622, 312796708, 227773113, 705297484, 410918823, 864141699, 1017184215, 295198276, 822234375, 406409781, 260301155, 117692443, 83915421, 382979345, 791188920, 484442449, 561057436, 1060537542, 388804954, 51717262, 389601386, 489073875, 496821490, 990736571, 193022571, 955258548, 654087206, 577316288, 735188729, 647645862, 1029481720, 421361192, 138957081, 576355867, 670977144, 1056952151, 990115487, 449518551, 211322908, 564816227, 702906644, 28412773, 494187725, 493551710, 975626749, 373193389, 940423875, 377842352, 484212684, 661717431, 29434367, 976841842, 524794516, 162791195, 94748882, 369648817, 229698755, 844540351, 762474576, 217491471, 534183844, 604540994, 1034491244, 2073382, 405284075, 614939938, 307363618, 1024870006, 355023060, 722691656, 78488679, 987822419, 784585631, 424238760, 726591387, 69992252, 889126475, 63305723, 414315565, 94396778, 634828133, 455876540, 543661790, 379478056, 134166211, 577147287, 661605740, 276991820, 1011723554, 118383693, 977867346, 247074885, 1064308583, 700039898, 419135381, 303993111, 101133641, 356646010, 413524737, 584854681, 1010237423, 35133639, 814985497, 24098991, 3721592, 85651258, 1009270827, 381774613, 561604580, 394251617, 860471884, 915353529, 382336732, 465225247, 1039459661, 338073848, 1035161415, 227877455, 453037263, 751248174, 532566060, 874389003, 73944513, 626060101, 289291590, 974645621, 404206840, 535924521, 583574782, 12615596, 257080679, 196722720, 416764855, 990972499, 338282202, 196219649, 789776418, 603447159, 565248611, 868339719, 130854341, 222823376, 576791407, 43581519, 798588837, 822219697, 193704586, 396104722, 80075203, 315445817, 680263986, 448613172, 1014931352, 911826452, 747629037, 261059316, 778773062, 555797718, 206424523, 337240295, 535782484, 460210428, 601200225, 442165893, 1057171348, 196929683, 546796447, 415350485, 564168146, 455374183, 369490950, 38722842, 221596214, 7707848, 454599266, 25342912, 753583583, 291565119, 152487281, 601148285, 611138688, 481917457, 156854051, 362786568, 264364887, 814545754, 1035694953, 806082887, 430988392, 664906424, 965741162, 979300525, 833707914, 199580871, 302343500, 877137034, 215214790, 298517297, 282369314, 316734832, 105634679, 175109229, 563984677, 277145420, 267917888, 642633617, 638144976, 644918205, 1029489334, 723360286, 854099561, 1044904805, 792172334, 136062643, 444442200, 952282117, 410116737, 149469950, 967024990, 530473045, 635028887, 137733346, 1024823851, 68199031, 569153831, 33975936, 437997565, 997896222, 991142067, 176894213, 856081469, 119054005, 729025034, 185074328, 92489803, 443458115, 908696237, 144640092, 540138243, 123731739, 628523453, 363362495, 903191918, 280530325, 367703444, 955657083, 871289915, 467469216, 389764120, 649073102, 748778593, 738354631, 877629307, 923739291, 544493999, 675958841, 319329659, 470133862, 426618258, 89585063, 878227579, 702952429, 264166484, 499051404, 257235880, 983226053, 752714925, 541690257, 501290760, 751577003, 236919232, 213763059, 883654832, 1046572457, 727526449, 480314814, 359811278, 812152493, 979496334, 113181416, 341601038, 810388817, 375436589, 526954552, 713520276, 982849605, 1048065478, 897226684, 942663703, 212562288, 917584319, 173882834, 216339, 753524768, 665590673, 552695381, 449952417, 18810687, 519588322, 483532620, 717185543, 977491520, 789247412, 335131848, 387385803, 188345809, 355853218, 1071359959, 860799701, 277265652, 992684384, 18545013, 731161707, 743099808, 1060880866, 989138607, 833751259, 944395219, 928475047, 357696714, 646625641, 263119448, 394669377, 756513177, 988550806, 240315679, 918967698, 338248864, 618372470, 243617957, 601906904, 99422415, 2238867, 667072443, 730171243, 228944529, 602420653, 848994732, 661096660, 504067020, 809856132, 568272069, 544557118, 69305910, 651439857, 349580778, 666028749, 573729610, 440821829, 870896127, 355407039, 187365131, 523517292, 783264580, 328482888, 248618218, 411657592, 896120886, 266673771, 213027633, 403234130, 969081124, 892701160, 831384507, 561393221, 396600696, 651891268, 67400551, 703616955, 772453484, 1023591724, 343681913, 922026108, 1030421233, 1028101357, 144649819, 733062054, 415442675, 961242042, 325836299, 649034559, 445617173, 940379451, 701382942, 1016375428, 869141683, 300853516, 943053541, 987649058, 1037538225, 204832715, 135891914, 801080716, 827594915, 10963514, 590286907, 1016528418, 277128219, 123788924, 730702292, 727387397, 995096394, 1052103708, 507935955, 465406766, 884306249, 762535754, 883555267, 712954023, 366108435, 714934146, 48457937, 105532301, 568232968, 101301786, 931845091, 1046072416, 946688371, 407547179, 255686530, 418120513, 439772204, 805719509, 644289117, 308909160, 332415770, 773025620, 250722075, 215581514, 884842897, 333307412, 425394016, 367558022, 81355568, 458342164, 493301320, 941709189, 871584940, 1070666946, 121680277, 77113521, 564428463, 940337142, 1069035678, 982441834, 594812329, 1028493728, 594031141, 254488558, 871324762, 1044746029, 187602524, 530877408, 912274670, 851085199, 594664754, 721653773, 607796690, 511558405, 792774157, 903170272, 216586790, 431419970, 351419864, 682459654, 24323843, 918963735, 453081912, 596644039, 1002950419, 758481859, 78584638, 72637895, 590497446, 448785230, 500304339, 751800253, 836612658, 985648616, 453505453, 344124388, 922085574, 163190529, 579952646, 731917056, 942848848, 976250888, 103208268, 943440301, 624759403, 474192791, 639122756, 13967381, 683207689, 445843539, 1043585427, 392228449, 579670553, 244143833, 1008378983, 485006057, 816115163, 385155862, 84823210, 382549783, 548528013, 765048944, 829102504, 236250314, 339827020, 41884760, 1013469900, 661997264, 70787589, 209591947, 976410115, 759909695, 1038319719, 704784001, 488142836, 49564608, 852729204, 77502044, 108292532, 393159042, 460913762, 432788597, 810688843, 53912747, 579981398, 628701106, 302307013, 732674505, 894039117, 233985688, 604481252, 784547695, 280308714, 905828520, 81993180, 437250299, 749430557, 365264317, 1040122622, 397895173, 133326059, 914601904, 531425725, 360831744, 182164158, 153679428, 905941077, 484837216, 553404822, 406163828, 771710893, 432142302, 104237867, 534558914, 484327372, 439918374, 585912670, 609150179, 566532867, 764282891, 426178521, 901153893, 784431067, 660245295, 243721599, 205705738, 392228532, 224955567, 454243588, 211985057, 434601943, 431984079, 654871672, 662387708, 111476907, 989127982, 262766348, 741578578, 572703787, 527033157, 714455797, 601850929, 98585536, 973525879, 247053512, 95088586, 936656811, 318415825, 241118826, 227861425, 465107086, 703897994, 14779814, 179892732, 864658642, 198084387, 173859146, 157854569, 494187093, 682064577, 862390908, 180013161, 30472916, 603786650, 299835395, 571959900, 275065709, 876255273, 625675005, 445376309, 413978861, 923734769, 359790539, 642971591, 675028956, 986767657, 573641209, 818969502, 779700457, 853621609, 381069438, 1064825981, 449070393, 621013910, 807282108, 447088221, 1013628333, 841753595, 104929807, 673918735, 754950549, 494647329, 707896232, 227137204, 78728315, 431981677, 67359056, 53854112, 424913411, 597148876, 922217053, 404583270, 60850469, 199939012, 619234478, 596878522, 315259090, 640859870, 575105354, 761120326, 262335684, 33040820, 198756791, 722870288, 173450701, 376160241, 192439746, 568026022, 906251762, 648126593, 442936035, 837401661, 643095016, 720893672, 176786592, 68604311, 35815060, 783861418, 678326886, 960199223, 556647431, 545001725, 777629239, 824566673, 716735520, 389049556, 113510027, 769465575, 756990298, 182577206, 703534388, 115837342, 897398281, 689599616, 873097300, 1048764013, 663933194, 750217925, 676169060, 554977202, 415128511, 412781675, 400382921, 1049867024, 12754220, 455128895, 256512710, 72172643, 305877893, 562578246, 867180653, 892864481, 959856270, 272056839, 114571175, 509781392, 372361744, 243746110, 948432473, 121920852, 541046302, 713980839, 802374980, 966564120, 942261705, 614862808, 281410829, 578738253, 1017971759, 1041948655, 877874566, 452024528, 598039453, 344380940, 154729032, 119894794, 9269885, 822427628, 385796511, 949026722, 829305636, 561874411, 973957039, 33699439, 84439257, 631499236, 739063227, 380950676, 623022587, 919245478, 786296540, 380203140, 993531010, 716822637, 1014877816, 306492641, 348303318, 168950996, 752059701, 66518453, 618060901, 967606436, 935344494, 5848315, 790996894, 64465443, 962195431, 937393954, 366557530, 849417430, 861519715, 876355762, 597822838, 386981178, 491539430, 254556388, 531274084, 856222375, 577032427, 579281048, 841426562, 1026965747, 916797759, 413448797, 777978053, 640820717, 121598047, 1037576005, 924402188, 754637953, 451532746, 333214741, 320285407, 87317281, 9518090, 311800735, 63646092, 828643678, 340208348, 964430823, 460445391, 940476677, 921948293, 226432020, 15928038, 288934406, 527576004, 1034435248, 139878458, 126349351, 142374903, 995321855, 21171194, 228567240, 737578861, 514090511, 106903949, 570057976, 731810408, 406041864, 173931572, 423365394, 999546559, 1044011010, 673796099, 165793283, 625527564, 400929353, 734474324, 954873017, 590684991, 86308582, 189609578, 684684880, 557772223, 445921253, 833158299, 238159034, 578635781, 587495413, 555619733, 359048294, 71623142, 935115751, 1028966226, 530354604, 277495387, 145297799, 251602014, 792939387, 1061619453, 688962758, 747570170, 263140895, 212108139, 463079233, 692866906, 10129826, 1030688690, 343057297, 747805916, 420999950, 396381864, 518958066, 436863684, 393361355, 778301162, 900289781, 536456588, 1033956890, 495559038, 981647090, 927849989, 525249984, 799671930, 633477423, 596254338, 217824219, 588997582, 813658030, 741992833, 137080410, 112003407, 664371132, 14868181, 170462469, 402171436, 772035914, 155516228, 903243551, 465099556, 957838562, 870979180, 758174794, 637617729, 331188246, 360439199, 133687394, 809989795, 922543424, 771023708, 80279086, 88317857, 591748280, 946172258, 255606149, 495400747, 263953338, 221240473, 905341837, 476122689, 814371117, 9874474, 246438212, 91557857, 772965037, 296030807, 286897393, 1062012621, 92960369, 919129041, 310425027, 960012522, 131033453, 979061014, 1025478505, 96684022, 996644712, 918100456, 401390252, 252817440, 778756118, 863000377, 439321410, 547382009, 736477453, 860398567, 806449182, 40338834, 682743666, 703426529, 716697636, 954677940, 501030642, 514525164, 708314424, 800341070, 497369965, 386902553, 279836947, 572943309, 967636350, 426751598, 156164488, 732792575, 740654256, 321540160, 744422790, 605814139, 859929287, 454028593, 1061741419, 695124506, 1068307441, 700833748, 540281807, 30995774, 93136617, 882669844, 477169144, 926724889, 208976795, 916851268, 19163998, 991907333, 614037461, 941856094, 9120728, 1024688025, 139437711, 668346175, 331396528, 902255907, 512195694, 614313836, 558980597, 1062761055, 36225493, 705328466, 215187575, 542635316, 371551139, 869861042, 423221420, 98686394, 499944605, 772507230, 862965469, 586085456, 1006429558, 911081395, 142521346, 1070589467, 365185351, 354919805, 688685321, 426534806, 29801470, 635060025, 505986446, 698394550, 614668156, 832762463, 831914449, 252886798, 604347552, 375220081, 515836735, 123389296, 526838744, 399785235, 172312416, 125367679, 412399862, 227049165, 955227973, 737126054, 624837771, 403445593, 780152761, 66980376, 820245632, 867112233, 1056536552, 886516792, 941201715, 625259005, 422846775, 604431603, 42517301, 797206264, 1052901799, 395111932, 1027903147, 376442663, 895525214, 185052372, 857307616, 133992621, 553028463, 549666123, 118312323, 846934122, 645567216, 837453921, 828411002, 616469702, 867797691, 1061823868, 743429222, 431292082, 491125693, 415455762, 838302568, 632768363, 665392133, 977345867, 875213536, 905432914, 1021217253, 800499588, 338444876, 195365402, 219488902, 892237079, 63443159, 440291939, 770691181, 837156577, 153774099, 436767402, 949810787, 30062866, 73708853, 125397475, 796221643, 532670619, 484149437, 282343017, 716020175, 532965723, 1065609840, 798989145, 581044322, 1034990146, 306394833, 449468220, 700609549, 602086541, 823266789, 101873506, 261124646, 703337354, 54695764, 410002883, 112197396, 1024993790, 638706914, 768045515, 451301236, 767686744, 172150426, 607419661, 477843014, 796596658, 553102970, 551401802, 531584195, 617575964, 908947940, 1061436904, 511614176, 303496606, 773971139, 881216797, 389609499, 732220322, 754962050, 53632040, 997668480, 1011851525, 509591620, 409365962, 154365641, 431843738, 414573470, 223059630, 810832608, 711856199, 973231019, 131952670, 938618226, 359311043, 944222551, 330694013, 1062300599, 242028757, 367022988, 333646034, 868597051, 328827535, 446984054, 402683548, 812330612, 793165543, 532341191, 482796737, 235741060, 951003188, 656917452, 484383548, 849772381, 706223480, 505330533, 568807216, 137739870, 748119504, 1011852784, 667281349, 640456479, 25745218, 518325768, 545560176, 863465584, 723384460, 612153827, 58106729, 146685170, 582141931, 1045881430, 633814738, 1064804222, 619958810, 115506906, 65294634, 308053917, 619060136, 180832819, 781956394, 1006171418, 783776023, 624754745, 1018743595, 970586094, 382765508, 124656206, 127119144, 671010350, 966370721, 961491470, 57858486, 960184815, 294316808, 785476957, 365591993, 579682081, 1004526906, 499916581, 1064575114, 636834871, 29264749, 816871000, 471248055, 650679196, 361284377, 373551765, 336012721, 147935426, 323175494, 859983102, 46575206, 520206784, 49982403, 231587758, 47608035, 978920460, 856709958, 361963648, 603338256, 800410272, 208772551, 414775071, 27319065, 1042538105, 1041015286, 589853511, 925870363, 1040830911, 816642843, 34689331, 355123314, 823054391, 290021286, 564007421, 533589425, 521897292, 937105074, 414070645, 1009017245, 427063513, 438912910, 673123755, 332683584, 255225028, 477957996, 498883434, 728539494, 797189809, 712778778, 166090919, 565241794, 44500637, 712110659, 106649674, 591452136, 626153226, 379809172, 479536492, 176345861, 1042496851, 451273028, 404857546, 298860741, 887212429, 1039827076, 940062455, 446469059, 182974664, 88921242, 836191172, 119252493, 791614809, 278122776, 103481049, 867611385, 1018722635, 396822329, 843372147, 1049537598, 272496771, 381501873, 544790264, 231850215, 971366547, 1055608789, 921241366, 229583424, 636861607, 118245810, 205871084, 396342695, 433251855, 93638213, 169278031, 394441673, 679956538, 968003408, 189620633, 1014128987, 1007858488, 50353896, 778006426, 218063565, 1066745745, 436550035, 608454547, 763508955, 254159657, 29830888, 410658813, 437088740, 735105610, 983925427, 836133229, 877519745, 270722774, 593007641, 461688987, 945434898, 748570240, 36379824, 1047204974, 155111034, 204546870, 730527886, 248247127, 536380028, 305673650, 130265323, 805646627, 464235867, 169274688, 766353554, 31640770, 192296259, 987646198, 970918167, 167714832, 602207456, 323395307, 123140978, 648810991, 479612119, 593856376, 972811989, 419956612, 806068408, 637102435, 417702392, 1007078560, 335532907, 171916297, 42067704, 705815098, 992509193, 205327829, 181598533, 930292635, 355492117, 393980422, 198867136, 934712452, 948336665, 65940197, 290120888, 963802176, 282491723, 601957926, 618002664, 232152442, 401775297, 582826413, 225245636, 565722782, 741061837, 409068117, 319821171, 735318128, 803922271, 403270783, 765542080, 898494878, 437384309, 207755974, 667786633, 368784701, 621509929, 68921370, 1039976075, 205452666, 1033718981, 383812014, 896068545, 217439954, 856817718, 697404755, 335315174, 522071783, 315652725, 863109557, 730671190, 21658686, 997201287, 809176048, 209690802, 311890506, 677664031, 679106837, 737500858, 1062849588, 16719874, 770818523, 674626079, 661176419, 977447391, 546255475, 487195244, 1022684392, 619168940, 166167518, 917307410, 454091043, 718042478, 804575737, 490328195, 229959241, 865552257, 361995202, 784702714, 370714975, 84233091, 731295385, 71237627, 724867607, 1033849478, 644670514, 806306881, 382323698, 510754532, 163570824, 586467602, 267329843, 656682868, 523755951, 905409026, 1034300013, 133861060, 494345687, 956398054, 238677282, 513806653, 1005886027, 105876466, 703954382, 724976064, 313356513, 970472505, 521429962, 107461754, 463708486, 240894306, 855050649, 761187612, 546032505, 569383432, 697439724, 143332794, 744428494, 450601104, 546677049, 839111189, 219267858, 137201674, 399867215, 805908966, 669855538, 949769180, 424478538, 420941056, 442614961, 204286246, 847147381, 472477103, 443908176, 841983123, 237250524, 227487452, 325304474, 410701203, 556905711, 553951069, 927316808, 861607247, 966057048, 1069951030, 966338630, 41038254, 734245103, 768566699, 89054088, 1036612325, 153889228, 470192593, 6548726, 186757213, 104535364, 796823142, 930625170, 725880541, 308994271, 734054569, 97032615, 1047803321, 428269976, 550394738, 782185782, 274461667, 696357375, 839521685, 965612294, 1053087378, 1053069641, 279653810, 1739137, 623396960, 402156123, 469299154, 28422784, 174585244, 93927948, 694105858, 5504593, 448593358, 574833106, 915483354, 959540288, 538164761, 1065436661, 521088107, 19964324, 589395447, 979511702, 746515888, 460983929, 745858126, 19929322, 949236213, 773812201, 581308853, 610073909, 317842757, 436072987, 570073598, 350588024, 235418527, 443389707, 381165586, 905218143, 892480104, 318067160, 916724281, 929612457, 307063566, 87933506, 164116998, 763117062, 526818091, 577662879, 1003954619, 630762177, 539119485, 904004372, 772771107, 513692138, 853506049, 207276164, 224804929, 817258739, 490732575, 285375648, 513620982, 1062110935, 878231881, 598957426, 366868785, 23745877, 358228677, 1073371380, 822067663, 534756344, 714255450, 138536987, 980837746, 779801389, 181049212, 620761286, 760414412, 844476530, 423747024, 377511030, 594727671, 457890212, 220962346, 595255033, 252767802, 770295998, 900626267, 137400547, 470828726, 898198063, 463793335, 774974621, 620393060, 486673704, 361167787, 161159991, 177485911, 790054105, 1023821573, 98341816, 206379518, 460494229, 317861904, 813062751, 849537022, 229566427, 596012956, 730589003, 52102649, 924013719, 691689731, 387378430, 141857633, 506631807, 788947740, 447036492, 641355959, 325369703, 144890086, 632523376, 560311196, 78680281, 1014949171, 647176466, 337503429, 634314601, 256739485, 1000088778, 628070005, 30876251, 636427959, 20389118, 510658050, 154678418, 487767637, 944513481, 23270097, 136819321, 983629724, 72001877, 566038328, 500952174, 224127247, 1069425110, 138942798, 377521745, 700293232, 100357329, 387245752, 244905595, 1000963985, 294704082, 127911591, 665690947, 1003490762, 374364672, 260303364, 950548552, 406407693, 515153162, 605999054, 753583967, 338454411, 439215728, 1071673859, 235021632, 922390925, 120379771, 552547589, 347927443, 381246249, 867867303, 627188648, 465615583, 258319740, 954346532, 507169366, 496806238, 289732233, 438131606, 637326885, 756364486, 86353308, 806204460, 479631610, 172189331, 350898168, 43175457, 718496607, 37879810, 197316267, 687897802, 327181131, 123050968, 1008341448, 94027197, 265155786, 369343117, 306791134, 689983670, 317946288, 811199610, 45008922, 999193988, 391056713, 979983496, 181546049, 911558785, 504428255, 611575358, 547884255, 1021965758, 200692677, 55563017, 512636628, 982989098, 403527427, 344444775, 944128896, 88582291, 914657686, 350264278, 64381352, 81547312, 187069973, 795231053, 387973493, 422774086, 959923265, 637091431, 75504444, 730371310, 206586981, 831388941, 769311787, 581270204, 168031173, 945109123, 1056471823, 485886249, 1056085590, 985763161, 431297434, 700937443, 576379926, 955105174, 1071707218, 825535470, 2446947, 439859947, 1001543827, 665217347, 1044809457, 714860642, 757987411, 117737727, 506482290, 908688091, 246628805, 646447439, 832369377, 624182243, 919038173, 1025811994, 1059902212, 863255703, 1006998479, 430991422, 166863857, 115533308, 457789781, 353211199, 701826581, 990456644, 245223253, 784746261, 482312037, 683854903, 129936230, 873850890, 797943363, 586781331, 924285786, 112932735, 175304612, 678490006, 950396519, 598728993, 1049479913, 1000678346, 870050895, 839746156, 1057969456, 815166722, 939604038, 178609338, 1055312387, 631862831, 547114669, 61559716, 725757353, 713234586, 603663926, 556248991, 763926542, 835795066, 390215067, 686004419, 10745294, 594273446, 135465161, 343085075, 25732060, 875446735, 516689797, 180826769, 155583474, 547864419, 338368929, 752465869, 862738526, 585121775, 683725248, 846831733, 129206989, 919508644, 864067961, 97266647, 405801229, 656919293, 793953236, 495625617, 1034999193, 215810733, 59414020, 747084070, 39486743, 791217643, 303615990, 622436493, 886409623, 705732056, 715937263, 370262056, 79067305, 32865244, 392083815, 488016344, 315333428, 1029690236, 93503059, 716889247, 952086111, 246512040, 696858221, 758702789, 725167753, 318181446, 487954209, 565918882, 346971770, 721109655, 670442685, 816755522, 36461145, 1039509338, 249014648, 743700347, 600277683, 324282197, 924167645, 562725327, 426389687, 331517683, 651328751, 1002213570, 449457082, 739736010, 224940649, 1019375208, 565270673, 227869300, 922142960, 680951727, 496061748, 412175045, 542707471, 233413078, 415876702, 280709051, 625093966, 794868309, 86352169, 158332057, 423926701, 711321781, 277491512, 639846982, 358542238, 791382515, 956774432, 378182412, 151882035, 11335060, 882985186, 426506633, 197665483, 468761028, 203403510, 462336854, 65781558, 500614066, 713697127, 745182923, 882516609, 16972131, 628609425, 926171066, 930019969, 82963127, 242851041, 967202985, 629821717, 41432983, 524963706, 516221275, 979326267, 1052355587, 706222868, 742729681, 730471042, 687512475, 29172574, 1026884537, 732969809, 1058448807, 420734120, 29093209, 321994804, 755492515, 667212300, 977546579, 716590387, 346107193, 365146709, 249664154, 146463459, 66273924, 159696396, 961484908, 392871370, 1070961037, 172789814, 817084484, 589065919, 846980747, 136223418, 581714344, 794734463, 334993921, 421142921, 201163925, 249906581, 629249506, 961149201, 1041065368, 587349028, 1012283031, 151540808, 106306841, 1072745976, 85724280, 892288683, 597302085, 841441836, 788720613, 757311569, 899582561, 20576140, 339237321, 438794636, 340807909, 267137538, 324655894, 666213391, 383179409, 672698288, 67256665, 2606769, 540061920, 234811307, 516730086, 315024909, 374324675, 316868623, 875382708, 303896063, 862419789, 607294728, 352999819, 247822742, 398570598, 669461877, 31160887, 976219023, 767091265, 665570350, 197765897, 785449238, 530967518, 313909391, 146575455, 489956408, 972432097, 74279724, 509747171, 489313414, 494257764, 459923902, 877546305, 639487660, 667378863, 169201245, 796567049, 112206227, 6193862, 961839924, 587573656, 514234979, 680519350, 971280897, 1066827495, 666624614, 836201186, 2411488, 386095623, 854998325, 182463361, 680637069, 1019777324, 399926844, 186321921, 1056949787, 883083303, 872146688, 503742118, 945722179, 484038493, 741288421, 342307984, 287233153, 931054066, 516306350, 847389379, 189518225, 391248376, 572000561, 1037593260, 1048692961, 732881794, 649511200, 577598573, 946695054, 654825604, 658872571, 257141742, 333650305, 596569339, 7990042, 369929815, 347775807, 68319308, 978048066, 918520002, 612210449, 886436723, 817203564, 781368065, 622175319, 831160975, 623429889, 420823107, 772713715, 202995424, 477785576, 18852482, 797584719, 730597856, 190557280, 355922718, 433970036, 357932214, 371024182, 110504707, 101409443, 72903936, 617878592, 834695788, 116618458, 791639802, 441947879, 643585839, 512443115, 936747396, 63439245, 807598066, 314232390, 186703173, 426832952, 176246938, 106185623, 87963513, 174515185, 191313402, 2328435, 995161648, 836264903, 385199493, 416202154, 874202020, 221232495, 230639439, 601535304, 347164422, 560810510, 880540820, 104605326, 51490143, 87795466, 278438178, 303176408, 320334909, 840570361, 873081978, 780716959, 809263327, 947016233, 206244030, 720878848, 573876763, 299055818, 314757270, 296887196, 140040107, 491052629, 293499517, 809304774, 52736445, 152290294, 258773897, 348275851, 222378151, 457923361, 842179354, 72197934, 539099137, 464854622, 1016194068, 755283059, 100710184, 976474105, 831943041, 197004836, 923415494, 852009663, 233117215, 953535657, 1004762490, 720332838, 995284237, 25599258, 152210003, 324667231, 777536099, 86866117, 306148428, 777201357, 773104676, 844066099, 627891942, 867647118, 996952975, 83454955, 749314766, 894326229, 770061759, 921311153, 941039115, 400289876, 38193322, 1070648944, 582371151, 237755574, 457130363, 583740360, 255268924, 118302576, 316680567, 580874947, 781041379, 450579816, 197522842, 208399685, 489974358, 238900136, 345903049, 808730973, 687965970, 710122285, 541270015, 639491781, 3622612, 201380373, 560409075, 1033059473, 1007181154, 712394768, 400947925, 468163481, 723478410, 984229648, 251214368, 562145944, 275908688, 926966323, 1018343024, 600261380, 141799178, 1020910181, 420086336, 896842601, 876167883, 434287766, 492633742, 84443507, 85866018, 265744024, 601099394, 689363670, 536162587, 959702698, 551052399, 866320885, 442945517, 806081733, 469655949, 337096880, 175075226, 797688046, 223100421, 999234075, 330819363, 800687943, 285851922, 307419130, 645354632, 410135384, 801317544, 739978004, 500566654, 561861579, 869266872, 486816672, 293273475, 218341752, 832193403, 310900388, 128639440, 211841519, 990065530, 999229733, 977837612, 420240345, 899197716, 937396447, 624820990, 546193846, 315549452, 627726304, 639967149, 370018777, 591059227, 967686854, 904517959, 1022494510, 960833361, 542724047, 321774312, 466576889, 371324674, 455801284, 27651824, 241697267, 789817972, 79684926, 542113744, 868790634, 799497765, 313440552, 968227949, 1055968534, 524116485, 842388775, 1040562934, 734278325, 10039139, 545517324, 531788702, 302376687, 560912630, 300901613, 996199577, 322739102, 974541870, 1072047655, 131745290, 796420115, 425563855, 398825831, 794462394, 696622676, 58100332, 481767660, 805318382, 360603637, 996169131, 1036563998, 630523540, 534325066, 647856094, 621862513, 442037170, 1029141384, 881749260, 1020330905, 310902196, 887579218, 73051348, 296099167, 598578433, 1045319430, 176429202, 930158417, 952401906, 212040762, 858280985, 414062560, 1039588633, 927736129, 1016115294, 934044321, 797877806, 487271950, 776850271, 364814133, 151417163, 443800223, 6738531, 147641985, 589550136, 327297171, 796707765, 816640737, 473536168, 373025941, 437400435, 297830206, 555504020, 227194357, 152030335, 660488324, 265347174, 104684059, 530610894, 145345835, 835224462, 954640922, 231862677, 30475382, 306528818, 632657527, 830759813, 227769427, 159313283, 100553082, 964221503, 5184912, 922537204, 643036314, 973076388, 526337001, 286362094, 825173692, 336348261, 194649217, 895915044, 761247463, 419346048, 187582488, 1060724290, 875172007, 260203161, 899784371, 367640387, 778548808, 408672827, 581877122, 974678909, 146554470, 890302258, 440867716, 72169026, 28527461, 645033250, 713130096, 219396604, 181292631, 548473464, 4377161, 5979754, 812487960, 376262767, 754385579, 339101971, 984852156, 1014097343, 106737975, 77838817, 35110915, 619700451, 841772298, 944976764, 833505554, 560170080, 824663387, 18078722, 1057333774, 346173234, 206067571, 183728058, 265004780, 328348129, 1008968556, 777452519, 267927508, 572988559, 726229953, 1068058173, 868536585, 297244976, 17928749, 361958683, 460611831, 328669226, 261471236, 510406676, 1047612017, 507983614, 84766757, 326025360, 56146433, 321246636, 851961397, 843893954, 236400214, 694551106, 613347140, 593411606, 224122973, 932373414, 326951665, 70193544, 608451339, 793141468, 70147750, 452206412, 532330026, 159820569, 928674412, 222837078, 934510607, 829100507, 1055999173, 894254191, 351032439, 867260220, 882936179, 424003325, 996964685, 555367870, 496401805, 437781648, 746528388, 487183811, 524160006, 481496178, 1051685745, 262875591, 337452983, 1000050915, 1057664216, 78590896, 969739501, 176439480, 937157933, 827470757, 497396353, 774945155, 67993585, 430036703, 667533062, 282053174, 753823875, 502145909, 833557298, 874866496, 105702595, 287058992, 850174149, 773829116, 955335297, 955214087, 745757729, 936548180, 57106021, 838468979, 283586772, 301049902, 1005580358, 592723724, 117957145, 977771950, 433742752, 518874508, 371988020, 673008931, 388827305, 130282808, 154666633, 592607541, 268172420, 880094777, 778029978, 979693525, 1022521954, 1066372241, 242756779, 312949107, 923700410, 754318122, 764814165, 1064195351, 265805000, 771883148, 485936416, 779518537, 232201616, 156305168, 604790370, 465432053, 907427532, 851698540, 455860216, 109170158, 410449985, 128388203, 241769361, 896858741, 175898121, 663376510, 740014748, 970489129, 182087775, 60824147, 577612043, 856827788, 431501838, 379423403, 473528889, 543402308, 253335716, 220103595, 617207863, 92201906, 713831485, 877257973, 459467808, 693382929, 645128838, 401753180, 1033748669, 207918280, 1040529800, 878983318, 1033348671, 5844431, 615687835, 503936859, 629562264, 20746289, 709056454, 289244362, 352378116, 7100329, 517068575, 950194422, 64502359, 18586737, 346633293, 610315713, 330613611, 787191250, 180075454, 686281801, 1045090744, 405952372, 451610575, 867606806, 825407179, 403213989, 358436875, 280673200, 214157444, 609434030, 99151982, 83600728, 1050555683, 234417688, 384124309, 1067823509, 954477177, 907934273, 563309846, 625740358, 350779838, 163646591, 815389615, 701684609, 397140240, 20396136, 1028162223, 652817590, 778521876, 1041724676, 103997273, 519181314, 844290179, 708767554, 467132212, 514381433, 476201566, 312284456, 263275644, 438344104, 399036779, 446264915, 360196480, 336916078, 627250378, 868932500, 888608074, 407656868, 780209257, 699110731, 833690262, 816677416, 343747714, 28597655, 647040084, 143707198, 830397421, 68526130, 434772243, 216123259, 491597323, 703735438, 1014671394, 1033126928, 854421453, 832518726, 518287203, 657098362, 600250849, 719305086, 44610047, 594776124, 548684474, 597848007, 910465645, 841401130, 66463401, 604130273, 9497276, 1008043214, 568077881, 560807384, 600040992, 1030435618, 148964440, 923940257, 270446372, 815937317, 259831077, 630873067, 370591719, 497560347, 381028392, 152473706, 860960526, 272301238, 303538128, 628390029, 786480632, 550067528, 61508241, 837034354, 620236136, 744510146, 714238281, 566606189, 781366722, 399021935, 290144533, 820826669, 409490706, 7099723, 958625714, 911049320, 379355383, 114978576, 374649096, 828823074, 871824288, 220768109, 312276145, 777907393, 364746481, 825000007, 174096978, 447754985, 780362990, 504132890, 353829321, 182131484, 511098967, 675122864, 982357315, 737525456, 359964655, 930095739, 654486315, 895065870, 495129026, 122333143, 563376252, 285013005, 964880537, 513200459, 907589682, 1011294103, 32272324, 126983186, 408782843, 413491374, 27678670, 109372345, 589309395, 129459963, 833197102, 915945138, 907905101, 814768677, 682787516, 968365145, 271347503, 370907848, 840766509, 142773207, 899113460, 1054241299, 5980015, 47275157, 939350662, 497851744, 875301038, 1009555280, 745007792, 357281936, 12351749, 286257392, 700686708, 262963118, 269475003, 896241881, 315258558, 77381140, 238290851, 352268201, 863063366, 151318844, 453889438, 149158526, 399533687, 765053282, 634758240, 130709421, 67444810, 438012995, 806151908, 982178030, 889495302, 844488472, 2097304, 995119554, 404292718, 749397375, 312070901, 748408468, 579034818, 682147964, 685755560, 1017406482, 67145967, 845410337, 891115783, 1021011939, 792060472, 12893857, 1068374833, 116278421, 459499871, 602838003, 50941514, 44840715, 876658297, 939555142, 30430599, 1050035542, 625720783, 215885690, 1038062635, 913020085, 196281509, 565803526, 750812500, 246226100, 446480422, 630626825, 1011415515, 695804419, 164338580, 121942569, 641658949, 782536624, 178322227, 538803390, 67236664, 342336991, 1064542109, 1071984637, 70418126, 718899984, 525724386, 911582518, 240871899, 960912156, 655258241, 106243859, 610834074, 447003034, 1009447623, 450838266, 888412231, 966702673, 167867042, 608072088, 361614839, 110113052, 839864158, 432155063, 636695168, 383139001, 405889194, 964674453, 811038542, 652074229, 662281247, 164897547, 289475494, 962586699, 413819965, 89059078, 268866051, 397639510, 922324088, 972437150, 249457054, 539635253, 355932986, 835387055, 345368106, 856134357, 456673999, 353193603, 732697337, 944048145, 479383653, 151443443, 1009214222, 409737777, 932555221, 216008792, 645770363, 438432433, 453855601, 365441855, 412013680, 540285366, 339435106, 984154370, 658058039, 62013667, 672984437, 767720750, 894896314, 701542797, 537574596, 748493490, 52274122, 443027530, 959802971, 538305792, 467043884, 41888878, 678445086, 282949628, 951313566, 190886996, 976669081, 824116674, 147755884, 941538703, 779150309, 395555554, 670483086, 880117188, 140139988, 728810065, 1051262304, 157604195, 461805050, 157131215, 860665979, 740501931, 909454894, 120181620, 309219713, 629433243, 87383677, 1010372635, 1064807667, 245619587, 585411248, 58368379, 331617143, 1042705430, 567675872, 1067127441, 179946655, 559066279, 252850750, 660817612, 949424023, 692834212, 650107195, 828270181, 579886593, 877513684, 919286919, 880778418, 253480435, 424330651, 814387875, 244988933, 194796156, 105020680, 167033516, 464485306, 207435559, 138299424, 1035807881, 444703446, 929200657, 425434362, 666424862, 513695517, 1022399141, 762171256, 512476050, 849547706, 47174865, 1042330748, 952550320, 131849478, 893040601, 994879358, 4858738, 387528206, 35193009, 5460920, 237862211, 448467663, 116878591, 1073108573, 978302281, 957118062, 119684209, 683422807, 95588573, 190725170, 374835677, 493429413, 374029007, 1029016520, 77890001, 262888509, 806248107, 180040797, 614200653, 246401617, 468803035, 718204896, 362617944, 653742374, 243970338, 799778395, 436394186, 751261878, 851149846, 118206024, 579047039, 838746123, 953962326, 869173982, 608146221, 953590345, 560380608, 846326537, 75170689, 2822902, 970431231, 57230958, 82028448, 598290105, 936266443, 508150421, 1014954351, 283230176, 419271985, 584566966, 362428721, 252733325, 521398399, 705057205, 945156636, 993255016, 864614878, 179990800, 809248356, 312721052, 367631379, 137720956, 704092635, 705693195, 888656707, 110759498, 322970183, 895695098, 925285721, 1001452220, 65033707, 213662713, 472962927, 174423250, 646467270, 867004629, 689604704, 932700477, 549574974, 939431669, 169330385, 81644555, 998459603, 199693372, 422091826, 904107180, 326822027, 1066418967, 398984378, 856989249, 917763878, 967107238, 104225738, 382539810, 426240772, 594333720, 954150460, 46858586, 667292125, 408337763, 1033808811, 390270643, 1058807135, 875916536, 929105723, 347217618, 377156812, 373346110, 421924345, 295737571, 385807048, 494653898, 141738272, 450297070, 355402516, 456815336, 427639312, 443863882, 437292931, 932147278, 1023635416, 378984302, 768251793, 567649561, 615347689, 718826733, 525510394, 160256137, 268217790, 397738529, 440201076, 722395762, 446812192, 306781934, 916813532, 897017905, 323612191, 408377000, 818495995, 20791104, 843881948, 426794363, 304879178, 609324504, 146833797, 926836004, 985800254, 617918015, 91233898, 473264305, 682231674, 84446558, 847357936, 209956694, 455138667, 797993222, 393407483, 152357823, 351858744, 267022737, 588202643, 622152344, 915274499, 778275274, 146304875, 759762286, 310580144, 8529867, 195077093, 695919414, 200605810, 678817789, 145815109, 38058303, 974808689, 536402820, 795520473, 909680847, 535145133, 685672258, 313643047, 4512607, 83462483, 451913268, 543768904, 267537778, 151316057, 859101703, 281056772, 75757356, 641970589, 914501629, 898845409, 603390025, 615660699, 737752170, 942852733, 197885683, 571233024, 416990908, 887397255, 372830203, 499483601, 101211999, 1040261403, 677440451, 152324021, 300683587, 208304772, 901620550, 691620390, 583605585, 164138060, 447597514, 573996170, 123271223, 87339622, 104644884, 501778422, 914464881, 6881937, 967799124, 547409231, 680878289, 639927125, 612695695, 819253741, 819694405, 658964528, 1205647, 721685393, 571323752, 703578254, 839512256, 366174734, 193682666, 467642027, 644619708, 879179167, 540580841, 953073772, 809966482, 664373823, 131770063, 238265289, 609268371, 988134381, 933167363, 530761678, 141140389, 143134804, 624967140, 29606760, 51016674, 316077392, 1045090405, 425827047, 218435884, 636197923, 237458508, 367559938, 1014505242, 993533938, 108148178, 520453421, 896314965, 187505660, 370293014, 517767288, 959296551, 152256561, 460734147, 432577556, 327209041, 3675733, 174418955, 617180662, 796106627, 691919474, 516099438, 849563453, 904446718, 498018234, 857232438, 1026589370, 1071998959, 289319459, 81740170, 597980087, 851254618, 710756863, 335387422, 717146821, 583210022, 1056150977, 592725747, 171867252, 410588736, 69117622, 840956104, 359564374, 358999416, 446606652, 400179025, 48299180, 196533641, 626232939, 950061682, 936051218, 678075872, 143548463, 671472332, 596714512, 174085039, 31115868, 752747827, 994050845, 742706610, 214431684, 238645297, 434994197, 117602433, 99702179, 302230161, 270544102, 541735834, 218319425, 378244276, 452470644, 421192612, 1022380677, 1050200286, 110503713, 677579331, 522220522, 298856520, 173919721, 1056585802, 456378269, 1070640108, 463557823, 1041768809, 764462071, 195841708, 173178068, 898371150, 69436073, 1008719015, 467280192, 729706636, 1025632879, 142231962, 954191817, 93566150, 786828801, 632138719, 763414007, 30157452, 7086415, 182632502, 171543940, 1069941471, 409371239, 363794433, 783899282, 644240440, 792548911, 83845633, 916881067, 224199544, 621388519, 645318979, 723416130, 125429236, 753849881, 487511778, 514827808, 697962183, 783937271, 491430465, 1022563732, 412070318, 412771012, 737835920, 501600696, 570249007, 1055166548, 611344968, 632887208, 474295106, 190314610, 536369572, 961594095, 514262362, 677233333, 654275021, 134281537, 926598311, 660543825, 610688124, 634285590, 861768658, 636893505, 391699800, 936473303, 182874717, 320997810, 862044237, 759816090, 857149263, 254570002, 701795460, 755633006, 565360379, 509683713, 694811695, 714951357, 66808512, 918390246, 1001070621, 987428652, 500630654, 77768876, 1009306668, 540819494, 185536384, 898743165, 646185711, 449667871, 997563148, 261719638, 1007945899, 169915189, 1021238875, 883267482, 657432798, 568472137, 720824881, 215446882, 767436686, 99570803, 29070043, 514200494, 823919930, 797439329, 411313025, 586479980, 920748631, 309926732, 581155458, 248919115, 245388666, 732822158, 92616878, 780797509, 597913562, 726754577, 421460253, 228752483, 215610365, 734906148, 433442420, 1051163108, 861803484, 1016908991, 787947893, 675809480, 708863901, 693740391, 113948386, 382529232, 60385447, 135773170, 117300517, 336576926, 733604785, 681386946, 954743120, 1036750476, 105556436, 698753040, 66965122, 184367965, 81714577, 809385574, 1014212223, 274577859, 41763946, 744940129, 258987337, 477895926, 698469411, 1029948574, 131781500, 308917398, 641687628, 1003961166, 487342248, 915290789, 524810524, 845998452, 167675704, 993832066, 286497025, 92639378, 294520489, 14399976, 127104845, 135260003, 57441220, 865919159, 971904174, 170755721, 627859098, 22710778, 62439507, 791248592, 1063343860, 245553387, 714728273, 1037767697, 183129756, 355885705, 820762436, 572776375, 529072639, 24703428, 299509857, 1001846049, 585234120, 768656495, 164980488, 343208763, 552324970, 796609548, 872641888, 520997872, 945536769, 636009882, 1055638833, 588759304, 572120528, 249716981, 364219692, 639819144, 1050587101, 933438352, 426612671, 291284034, 480541645, 576162314, 89344851, 1064683491, 695497611, 523867333, 321364858, 575731006, 594437218, 341913723, 468025691, 283376568, 370015146, 421764388, 870751234, 438626745, 288121938, 7659114, 643808367, 555512389, 1048801497, 251670350, 67526703, 984969219, 671406056, 468986253, 1019208279, 513385639, 959536402, 912439157, 296348073, 918779009, 645624707, 957619942, 348743367, 305061149, 1007005606, 426971779, 90263171, 500722627, 1005535824, 114885378, 565892227, 239493925, 245138786, 310880944, 425506916, 944000367, 93370183, 414712591, 137445998, 939219111, 935737993, 917905668, 450026169, 53051938, 38851019, 436757443, 925215880, 528639363, 1005895610, 628816220, 48140075, 754559025, 148851172, 421854842, 1002466016, 90997805, 812075908, 290714124, 115551334, 913439604, 300307790, 216050511, 296330656, 979597073, 827084646, 818888939, 448031240, 604047381, 627566512, 674628369, 799558720, 316710446, 125332783, 279317782, 661050272, 518405212, 643384747, 841652714, 699826691, 64681177, 903526658, 458557276, 1035589173, 366737855, 994910120, 813147042, 541564474, 525969681, 368281823, 444863348, 804641771, 712097747, 802135968, 467696525, 223057973, 142138534, 1006797331, 815130657, 595961122, 865397855, 973485348, 851739081, 525399616, 529067598, 667855182, 672541369, 604228114, 1070254781, 836734697, 542527162, 695143060, 377483585, 268733924, 369614724, 415813583, 315406759, 398593388, 439822223, 974933191, 377372592, 502439902, 169508372, 433187984, 162252128, 681472927, 256138778, 409690383, 368175180, 396601803, 485190390, 542721550, 797774529, 900571240, 83961819, 659106922, 2126304, 849501808, 937398353, 29581098, 1034974818, 79230381, 440273184, 138790403, 745205285, 703235785, 110863166, 527308867, 229011372, 583997916, 1022370716, 14182173, 755425670, 793623200, 44051000, 261649788, 2117181, 956744621, 308850760, 419729185, 707254213, 58851713, 272309749, 288598104, 237036966, 118921454, 239327923, 897473399, 697742027, 577268543, 754119742, 712410277, 688955983, 216516132, 521987877, 340551518, 711964926, 7767097, 161692961, 408700154, 1719309, 313965058, 688755414, 704059925, 929947429, 993960923, 847392910, 128514638, 799785359, 1012751609, 899030201, 749227078, 205579685, 309304573, 660919483, 1004142460, 43374686, 816328981, 728914194, 511736935, 433064786, 704537407, 537082422, 243926814, 21221813, 29663172, 211311133, 1071597837, 637245859, 427427906, 744811131, 780854502, 671290670, 606467223, 491299699, 554208391, 704213933, 162173090, 776110534, 623955176, 996964836, 87499573, 38939370, 825960522, 958652184, 135704252, 248288926, 354477051, 230661954, 62465950, 363996524, 238810716, 520324844, 748781874, 360570750, 850645957, 247291168, 994811091, 1006016432, 359058574, 200924494, 910675592, 170841351, 617765163, 314385986, 656542771, 670214094, 177518383, 1031786199, 628158752, 152987568, 631622801, 601042867, 552252476, 1040589817, 438596018, 786385289, 923428637, 111554837, 743931810, 817095771, 504692352, 398630201, 166472915, 590665655, 224515387, 163699662, 469120575, 679441674, 673158459, 654807111, 1029813565, 890097150, 188689100, 971447021, 560120833, 947534544, 70372116, 1044888078, 334968203, 264229219, 1041034255, 275210809, 154885887, 816868619, 1537050, 876701566, 205373247, 253519415, 184319377, 687948109, 807833904, 976276208, 1067008561, 681928502, 559958969, 146459698, 962956905, 101519755, 512240719, 188590275, 874603930, 491862934, 416105095, 643014741, 826038876, 404392038, 973960449, 877544662, 320495428, 628809299, 242017294, 580820989, 302078573, 867448670, 502285710, 363018253, 313269175, 262278506, 193412014, 440875807, 305970986, 795909375, 910066253, 72298499, 328756248, 666304326, 1040724384, 359023416, 287171371, 57665782, 1053138143, 882242753, 373546080, 843601265, 1031418456, 232054906, 516364686, 86605300, 354635158, 377675671, 209202663, 796599447, 187059214, 450249752, 672872443, 941893493, 397747265, 1027424544, 428148132, 638173281, 644258330, 1025429929, 137975856, 996006060, 965201477, 820928853, 810221483, 669628538, 342473697, 1064259387, 975142709, 527479476, 356660259, 376769154, 732606869, 1052955738, 796152532, 534230103, 1023386007, 565034027, 163935030, 733533944, 654733521, 745586824, 450973804, 979601523, 488283087, 209238412, 851727120, 763063644, 887931220, 1051087774, 274469741, 913592839, 436030123, 79330542, 888772237, 846650065, 1011896035, 399463052, 816299616, 67391377, 130376414, 854765467, 418236262, 169392290, 849917084, 764906700, 733074011, 1017839981, 174052101, 752152916, 1068139086, 760451260, 284554774, 782885996, 324507506, 619521403, 825017872, 497066116, 49882051, 495266797, 486232932, 432158370, 45032214, 841309570, 311422903, 995072443, 222092646, 570984449, 936780422, 1052332124, 405595757, 73343857, 253637083, 943273950, 320376865, 239730210, 764566752, 420104941, 906672044, 948883499, 952927487, 770959401, 1060875988, 960215875, 168503538, 196837323, 66252605, 461017847, 368178122, 826183554, 782397991, 1060871813, 890426048, 119963126, 526061711, 196120352, 413948543, 100525430, 82278113, 623123070, 568339293, 456460920, 424423439, 358644674, 209534310, 400568988, 381102823, 957709791, 572124498, 273286414, 167376340, 212122811, 776128607, 187046014, 859670076, 513723646, 157469941, 154586967, 393800268, 334960135, 160293942, 706353289, 455028384, 144565725, 468767138, 643202981, 551065356, 1045320925, 794314785, 419201946, 285419901, 685357727, 756706352, 28425958, 92736581, 286168741, 966828477, 296454772, 724023599, 638387207, 448115736, 862822782, 856018064, 232316310, 127113932, 88733816, 884155279, 889074957, 735913320, 220081379, 19918705, 1058983008, 813796717, 294031759, 904468383, 74809980, 381403290, 910275780, 105353941, 845465675, 374019589, 21274972, 436597329, 533613572, 326128685, 530009405, 10334206, 797363141, 703135923, 175238764, 440437214, 141479715, 509300273, 1022901986, 387065303, 863404943, 702597751, 558292772, 861892034, 859522177, 537515484, 52762697, 996660962, 901097555, 126970969, 1053468681, 408355262, 239140629, 997168367, 127414335, 339987364, 1254887, 449612541, 302746744, 706841129, 960069267, 363994930, 956321384, 559940693, 997472938, 303053610, 305056505, 789121250, 136665527, 257848139, 468215954, 583854165, 1033845002, 393437410, 403353056, 248189136, 592611501, 31837956, 947922976, 793693895, 810276190, 156132726, 358279983, 298494316, 901086332, 792208308, 423965922, 601640967, 284697951, 1004759292, 364232057, 1022776139, 118965682, 80409880, 706249472, 1057991202, 501007482, 809591336, 199814748, 743553329, 422744667, 743406285, 1041737812, 32491582, 553108671, 233218816, 395364382, 337398659, 67782178, 202641194, 557476928, 322275258, 638329826, 198066447, 232654894, 125279925, 377503337, 884802588, 178919007, 541411774, 506136600, 66262100, 1065237621, 1027910661, 658402151, 166438099, 125603507, 82674329, 360299688, 229392854, 444017404, 878034024, 417324032, 845029174, 337794791, 360579348, 927773753, 118268657, 41179660, 860934947, 729478034, 20214087, 760032659, 562007094, 902022297, 277654977, 274687732, 49317995, 761910891, 339350811, 921781979, 944724146, 530558786, 391707072, 667576911, 532290974, 718297455, 1056987854, 175225162, 900133706, 828472770, 721891422, 495334640, 599528530, 548435525, 927029920, 519364003, 376938007, 634040286, 974249161, 1054917081, 852854292, 268816813, 382794114, 125599736, 427437430, 896121635, 86404382, 655493328, 650002891, 264862378, 612986384, 125963417, 739704478, 594067971, 410394994, 123505359, 1019502662, 330916044, 943271827, 768892320, 370232686, 932432832, 623366617, 270954336, 497981713, 700615455, 114814136, 293239298, 391598427, 704326941, 338966294, 871430137, 777159084, 484248809, 7173777, 831562903, 847854165, 588272387, 1010349331, 233739901, 556863186, 258899388, 959487800, 70225942, 952275173, 375757290, 586473439, 674882713, 47507861, 372805459, 934616861, 455071434, 221902160, 242357024, 703262535, 741717768, 702086801, 809013806, 973638957, 913751379, 893391479, 427190260, 332844299, 902219391, 864073637, 511941484, 801761355, 191936476, 85158089, 1032575873, 596839729, 797998815, 1047441737, 934788284, 1060655083, 804685127, 623092827, 727904848, 494007012, 904899766, 399678207, 479707270, 461629992, 433232642, 128060816, 245595712, 220787453, 788373618, 920350216, 344088275, 122676645, 96734536, 1073043821, 993461198, 581354420, 1065937991, 347545044, 777901960, 927062752, 479810789, 337378757, 519742271, 587065976, 853663232, 423487366, 673160727, 778222102, 443703946, 899178487, 938340048, 926281051, 401154127, 864772584, 251804594, 563353600, 131477165, 348422495, 546597381, 994589203, 744413087, 998467798, 793753275, 762717644, 193665546, 1008109088, 875206745, 728007716, 470678340, 96050829, 256688500, 248587396, 10460473, 1022525186, 684772052, 413745180, 910544840, 69610719, 861070139, 796155741, 648292463, 366280558, 65498399, 130258825, 990131485, 748515791, 928750735, 156305519, 706561570, 222211597, 345397139, 979439736, 834869560, 523665214, 852377789, 758424193, 20838411, 621335394, 558512078, 316411118, 28692471, 584883453, 843465406, 421215019, 849195905, 446803402, 679273149, 996846491, 116237509, 277288319, 475661166, 326813220, 707077323, 291903685, 324880662, 86493439, 477205053, 893751703, 467372434, 121626841, 750020778, 30554132, 935345216, 152533234, 645798454, 531690639, 388873744, 962047881, 231229339, 694536003, 894821175, 606727305, 806453564, 674372125, 1028420544, 480545251, 48454832, 706842018, 46137844, 407031663, 639713941, 833531108, 804291361, 920916913, 957636551, 948904853, 770529861, 58664018, 1068375235, 434265395, 131408228, 850469765, 566063806, 940515165, 492043046, 150007978, 734935253, 152491534, 95228402, 518702357, 1008260641, 428667172, 802593819, 544532299, 601614860, 297724991, 111011900, 667419827, 1057676956, 853799183, 7260246, 885292616, 174220531, 1014580031, 358504386, 1066723324, 517767906, 508931970, 508959745, 589752525, 479759012, 951637709, 110854969, 1066132381, 983274413, 412054779, 796904564, 990748583, 580240581, 1072923939, 873329004, 438008340, 761970428, 455408517, 792941024, 52688695, 135986447, 115897937, 687874997, 20558788, 807400030, 29592595, 345684075, 732929814, 841218841, 81746921, 481365327, 270096437, 617780222, 277661300, 115361794, 935954828, 162475326, 375888178, 691450029, 320803207, 801176929, 734461719, 666803007, 664269796, 27890153, 675926376, 391174474, 402342148, 465628332, 640880327, 398573449, 231643182, 20588759, 114011217, 808917817, 723283992, 299133652, 221811333, 672855322, 118430301, 1038815359, 186416718, 847241443, 194093521, 1022744043, 514367762, 769522310, 88433779, 190607037, 787096669, 298887294, 36800825, 105582334, 269190406, 542401314, 217869581, 575184148, 602433632, 840725326, 918123449, 1009192491, 454347963, 557162942, 762797174, 600535103, 692059163, 47511171, 1009364342, 208269570, 960065486, 385365425, 177183912, 852260010, 107156212, 998103626, 805660630, 468508662, 613619456, 4830872, 351332419, 891965496, 437745088, 1071649571, 580325316, 239441889, 180646997, 546096555, 273315866, 71199327, 92251891, 947007898, 641879794, 636680720, 835096430, 432665425, 619726269, 295378058, 85077504, 1016552915, 392510611, 741856322, 341687061, 571268074, 220015172, 268731178, 76136898, 41739457, 226524360, 913510106, 108147845, 660648107, 141942946, 328486092, 13966686, 840533876, 801289062, 796230557, 699477487, 891494366, 683423062, 198337772, 563537474, 122883081, 80803041, 550251116, 1028795370, 445674953, 993698982, 950664314, 1049355468, 28056558, 611435421, 660732339, 1072962418, 655665931, 934186433, 327929012, 105660921, 553885027, 673612106, 735155186, 299223525, 161778214, 613731251, 910802046, 637807652, 161766415, 814527587, 335481654, 821999074, 432297246, 777692327, 249634968, 661530924, 152282840, 290351297, 434933284, 359067907, 507701820, 102730119, 325262332, 819836718, 880434193, 154145530, 39646508, 700800543, 996212204, 417924457, 406309021, 89056677, 889367585, 73059822, 206331799, 985176802, 916759082, 803268152, 781597024, 787887496, 572065208, 641269383, 652802867, 449238872, 413510639, 746262838, 202478123, 483346377, 817590640, 949971585, 575359230, 881964617, 305495117, 665128432, 116241952, 917593666, 1023414317, 3428944, 829347902, 759740123, 6621267, 1020252018, 1065017758, 600376923, 108133677, 42858045, 25502994, 354586114, 489396469, 181458998, 726386634, 152562091, 26177341, 1056506482, 505771870, 116351911, 953184356, 88868569, 197390140, 291433837, 460491585, 819458227, 429475007, 590642641, 890602593, 83748006, 377896981, 394929743, 746278869, 95755305, 22992817, 538319455, 345168404, 808822016, 312317405, 747988113, 1017508533, 828993975, 208258876, 630851057, 332574558, 833923069, 129654322, 104979254, 521714362, 274964820, 19230540, 319847784, 660179699, 812101376, 213379955, 540408135, 667593, 882532202, 216047988, 281818785, 1005907381, 981658105, 973889074, 775147604, 985149602, 592798269, 1045354976, 629278398, 1061398250, 243126660, 88374605, 224023845, 104560899, 532060600, 794952741, 309748107, 922379579, 72476361, 106632221, 953433317, 860959948, 1007896492, 979025047, 623593115, 900734289, 571033376, 315584640, 410600930, 645461698, 145008005, 666629174, 708720137, 997434286, 348900974, 585319534, 504340061, 914885426, 939673587, 236750380, 330057810, 187426437, 362900059, 574506346, 703387690, 773164869, 365383907, 327356166, 404591195, 474545195, 602675742, 272699454, 673747566, 458303263, 817330184, 332938870, 456168549, 743799368, 968475519, 403847209, 200948975, 380719490, 1071997202, 850524382, 689257368, 84570008, 733993224, 693575364, 206021692, 469214588, 39525564, 99880919, 179167943, 487503524, 612502426, 1019666995, 414864031, 513318827, 348045179, 620119667, 491751119, 488343171, 416669953, 338400415, 704145806, 591086393, 590842041, 868310932, 881188232, 844680838, 197993663, 792402850, 749248923, 447032786, 471304429, 241098437, 625795662, 48992702, 385247211, 781522750, 165706838, 545437985, 15675052, 396577126, 788341899, 983709481, 89701219, 369884916, 485061778, 459649001, 622068737, 195543779, 280264164, 725581884, 888876970, 54543706, 519671761, 1017001458, 574344827, 148828223, 125054541, 447421088, 996059260, 485244595, 893861770, 873100284, 408235578, 315109236, 631141080, 329606762, 70080499, 982292590, 1026403266, 350530148, 466425910, 996544185, 596344973, 606189760, 221442266, 447315359, 145207556, 775572731, 22204121, 874037046, 797848360, 623975468, 92471891, 278979501, 373469892, 724164035, 656369534, 591677658, 791333086, 715452146, 787963315, 126976977, 1044766218, 141255535, 550656211, 750980891, 1004806585, 185158773, 189418309, 742145323, 108234437, 56359209, 631213347, 727615425, 882445766, 421582441, 652818888, 445808741, 658749300, 814111987, 524759714, 715971218, 691284704, 76316717, 1044503019, 243628840, 248234152, 423812369, 570999481, 901105489, 1055820992, 770275897, 806088666, 242528666, 466721508, 125450685, 95051404, 925027100, 363087228, 285089184, 86042794, 1024823652, 569541859, 774850335, 575237575, 854389930, 33825098, 398765008, 452143736, 755813755, 411140196, 480655526, 691757068, 181357992, 765226216, 452267662, 1061959337, 44583295, 843080921, 372023830, 575269074, 957538898, 137174151, 846825117, 651678447, 353202313, 343929005, 564488251, 271667222, 825748693, 627203250, 999053614, 928897855, 446233088, 1058382056, 419137441, 448988624, 411942950, 888646082, 175316620, 422923745, 178185150, 175867016, 77259909, 1016319026, 916188840, 215048458, 174994646, 53940270, 1070677069, 945724309, 699543781, 406445065, 298297356, 543915105, 169501495, 936128778, 571784722, 761803515, 690495095, 204118732, 146170549, 624328087, 51023606, 974152474, 127356874, 1068927122, 649884891, 628426539, 739198649, 876120311, 261480414, 252748576, 1038918696, 626119113, 970590699, 945199843, 931939709, 951389343, 1059965173, 135159941, 888812970, 1007284014, 741398934, 434350523, 474309639, 473706375, 841608488, 1051947142, 1010889973, 541559699, 84356711, 386571969, 561972430, 650944239, 3280185, 524046498, 1047800426, 346876154, 160660089, 731426474, 1047954344, 77120669, 884605363, 517213655, 464815379, 249299570, 630605740, 978827326, 439911333, 90842420, 925407059, 105386511, 812498244, 281114149, 245528346, 582860372, 278819655, 140492412, 836980928, 620524152, 998522991, 194446936, 637997957, 286473441, 141719176, 1004014682, 299671430, 387507635, 958363081, 650705396, 837559618, 851369569, 210803086, 443295649, 463394055, 971483480, 740970664, 19537188, 774559862, 990847686, 625907427, 182370909, 925172793, 634008005, 777268641, 681155659, 707688517, 940923376, 275562462, 315751472, 738816412, 296562347, 231621920, 911173714, 692377506, 658700602, 931687609, 849051062, 686087551, 268509146, 667788887, 836457987, 192087909, 918409376, 281847566, 213878231, 1072339166, 112764287, 725627350, 659296767, 702837990, 897924291, 969129248, 21502984, 124757989, 253614705, 384851107, 585692628, 490615781, 301223015, 727047146, 207859851, 180587658, 693284971, 731390868, 423018786, 650363187, 242067447, 115934704, 486285328, 125241192, 916827603, 409301946, 447486348, 1063274266, 617550044, 451896062, 257959149, 693838679, 1059289195, 1007055064, 710960384, 612640126, 27324253, 284215884, 481967480, 406058284, 381092466, 352216766, 727935753, 581319537, 953137396, 138026791, 88953138, 575140009, 512899532, 527745760, 851610338, 744626277, 298417848, 491903799, 184055138, 457385552, 113974641, 780197418, 150404951, 916846547, 311044547, 706677577, 449570873, 1038677875, 523170853, 373921719, 321526012, 111756823, 885566415, 441677206, 823483179, 172657553, 600986323, 761556263, 346026143, 724058764, 600593461, 810217824, 18616217, 324601126, 533330283, 509204860, 578869982, 649745701, 873476379, 127311917, 705615578, 99683130, 449443028, 936060197, 505525683, 439098966, 32802739, 636958773, 1059725840, 1008410814, 578021574, 604171857, 184231534, 108778987, 549085260, 1050672361, 375195894, 675936149, 404384532, 1030116173, 508767770, 261936477, 732405258, 996372957, 57158456, 521292100, 848258930, 713132548, 927052474, 42230547, 651329346, 598777829, 940215035, 290025543, 767126983, 701953408, 570547154, 870840061, 380632557, 1046691492, 537244594, 776686696, 801342583, 322031838, 370851555, 699604382, 826401080, 131829642, 6668355, 825621933, 395230468, 669777502, 143314488, 844156948, 866786574, 315501783, 627681950, 625499524, 355939748, 590330364, 125981731, 23695064, 991227627, 578865761, 158045973, 737937573, 379922093, 196577348, 85469206, 889344083, 931773370, 958689916, 297749131, 156221556, 201013228, 1002392528, 256168716, 370649655, 161746478, 339598747, 577964533, 880144197, 529320523, 53122420, 198480705, 567693344, 334644580, 555537946, 1058268737, 446172562, 882445035, 669080567, 434311208, 228439698, 897095989, 427649153, 566942603, 372296213, 668519021, 876344155, 1019214991, 649852513, 391739156, 596822957, 96755467, 703646180, 590750139, 843771545, 107117710, 323734278, 27874098, 207436538, 693818883, 966370133, 481687308, 154341210, 741431267, 992171826, 1016511089, 109779256, 237387815, 177178219, 106086923, 53816990, 774094241, 109425492, 338243330, 1024604408, 303658395, 265153498, 215143919, 405909028, 375151915, 357379457, 577937491, 27614100, 641296141, 388953910, 688675709, 128327000, 517667984, 230659721, 512593072, 30252314, 801120307, 818068911, 17566346, 449031920, 536720420, 36651867, 138432920, 161998131, 338074208, 1059447113, 114180226, 104999671, 665154948, 284588087, 830956681, 139277807, 660786297, 236621525, 858769772, 197165809, 24041829, 453733797, 258772949, 108270720, 1043878714, 919417757, 38850417, 364682077, 53408421, 550905994, 381832568, 145127361, 800540459, 564621444, 530784156, 1016094825, 49014035, 177921990, 353849744, 141084528, 288319004, 406299241, 35780464, 856220886, 40916663, 1017818286, 929200167, 529419868, 675703122, 426917528, 739824623, 23382588, 1025076283, 783566913, 367900562, 25242460, 484194498, 444798789, 867176116, 288006785, 327788765, 269869598, 12458050, 476385741, 902048523, 1028250827, 532934319, 77836921, 566552715, 159863556, 801984937, 115725358, 234513145, 699957922, 1040645246, 237197628, 1048681386, 947578749, 562416120, 252557532, 495151482, 423958828, 723740028, 890546203, 115036241, 134027498, 188742316, 954918641, 687808829, 856606944, 577684887, 530684270, 156064775, 160353353, 5380419, 804517410, 677919526, 349160997, 466509374, 464359567, 982951432, 974117702, 176568418, 618059163, 123831183, 1072413596, 768761001, 895914351, 640620491, 342284345, 824523011, 357381817, 447447964, 380267499, 892368449, 616574871, 718025650, 543343203, 77238, 254323042, 289462960, 712450597, 543390314, 533278638, 698134882, 357339402, 914405009, 91269314, 763396183, 551630213, 765730257, 1042323218, 579132647, 624795725, 894331322, 461462346, 337118240, 795567929, 922798652, 626931491, 580697973, 703364050, 531293452, 584333860, 136547884, 985218672, 201644624, 240636350, 1027362252, 530711263, 1041417034, 829649916, 324130118, 77502264, 502377053, 123097181, 259967896, 478310115, 143833203, 891479024, 631345363, 1022439056, 1036441087, 341886422, 583866404, 971345882, 447305210, 515654113, 463930031, 940771302, 773878160, 239168525, 881126206, 559996099, 635525816, 961107776, 872774150, 23467008, 596164982, 570544028, 892294759, 97658623, 12266205, 1718137, 671954301, 131946933, 566416892, 686457881, 896547269, 556004785, 404692619, 193561242, 45343815, 128330622, 1057533444, 210432113, 340928665, 459001491, 965387421, 565153820, 613260986, 219708423, 862826135, 457038255, 692524400, 92639712, 499525791, 130175845, 546073470, 626659739, 1032060412, 706931486, 360647238, 226510424, 776567105, 936071174, 23571243, 849467550, 988988504, 25870322, 954508088, 230844905, 620842821, 517600999, 914927905, 742725597, 245814205, 868402791, 863121120, 490630258, 734113186, 78467782, 490544994, 572079592, 867438321, 1038271300, 456261471, 878273211, 729053446, 586194681, 656855157, 797630596, 449443906, 526128361, 963579845, 34833189, 70681288, 769518794, 187090370, 625146861, 931928273, 980748682, 99481453, 611150411, 878105360, 602377166, 337071482, 329985672, 869433791, 952054212, 720919006, 41795599, 980503084, 997729796, 50051185, 580561612, 335442745, 296197018, 71658162, 758728835, 183097403, 363066211, 489055205, 299903773, 305582101, 1072445366, 250489873, 382035100, 181380613, 830271133, 606049953, 852109539, 91424623, 824396904, 528252251, 908801880, 524489733, 702901906, 792874633, 229020038, 1012087433, 343185408, 687934928, 352924428, 343872343, 635392092, 709730262, 844179423, 296431932, 926630789, 437151802, 43108479, 269437314, 716812911, 277055216, 717770011, 818309184, 247052056, 553487337, 51614690, 339173099, 531286010, 268203668, 93450720, 233550138, 699988009, 772032705, 24172189, 583246830, 554609250, 121384006, 733996146, 997969615, 647472984, 745579042, 498227158, 3357839, 660395170, 351499618, 351311563, 816785783, 417698696, 720526814, 864805875),34360), 4194303) + } + + test("test7") { + assertEquals(Main.minOrAfterOperations(List(561899403, 446769935, 445347738, 526821394, 159473550, 893329741, 370495610, 636918545, 680661225, 64710305, 879808134, 393751123, 714379067, 973823054, 1070662144, 690774625, 232047947, 811697446, 660278907, 461570285, 601583867, 608685537, 813724549, 719567941, 793155929, 736071879, 588391400, 836106977, 355503708, 587279800, 441602152, 65024871, 654870749, 559450009, 45162210, 1062489496, 964565307, 732590090, 315025718, 412592241, 491136562, 56593735, 877052184, 538108926, 961248658, 923769505, 723272697, 540473088, 995558192, 701290204, 470802822, 559912911, 292050936, 482337831, 636939491, 468999704, 160628081, 756303626, 334062939, 348333623, 447733028, 731168903, 781065420, 527220414, 71442406, 548928936, 914486336, 666716824, 100986831, 33504938, 956814806, 1066182448, 47447118, 61868777, 167719176, 630818411, 93661482, 665362665, 598048521, 536189372, 544327942, 610350492, 427394825, 1025946136, 159961364, 955656675, 463042744, 631747217, 479768020, 269131463, 886118405, 126691247, 177351013, 430343888, 231331746, 613721246, 192078325, 223021760, 875006684, 528685836, 273783403, 1046103710, 363728706, 266934724, 370602361, 285858478, 897522034, 145700975, 967162050, 129537078, 688325610, 228086553, 304358730, 267725652, 348426115, 792642173, 240955238, 247256989, 1020482107, 905140380, 736579709, 357062547, 888278110, 258312226, 941393128, 891655172, 554528239, 997434806, 836645764, 509860986, 854883932, 487540684, 760827796, 318838473, 965266988, 130441684, 1005285476, 357692721, 824351692, 480602892, 1042679523, 729216269, 175200529, 978741828, 930608520, 778460364, 416556819, 850868732, 374271984, 1030793295, 362800447, 760426758, 283586147, 676912742, 982984612, 517712343, 41392501, 232116703, 943026933, 1060830112, 239469447, 1016339916, 20080797, 463379872, 937854755, 1062022827, 315234487, 400345463, 1071570448, 264031621, 999248577, 839677474, 897297484, 252161387, 387261886, 223377129, 434536991, 349117165, 112985061, 11586296, 872445184, 159896372, 202917954, 6653952, 221014531, 1033998391, 84442649, 777450285, 47667260, 976353259, 205590826, 457748745, 864910584, 562214675, 159496512, 599572947, 595616810, 25199110, 908583819, 683644639, 706345307, 944764264, 105660142, 1043720936, 821299857, 126928143, 256535631, 583064909, 525968866, 352047352, 325845536, 446727483, 313950729, 598848699, 251558094, 737094827, 740862912, 660275177, 409728043, 1022291712, 62787236, 793860456, 66044711, 172357256, 591316576, 210208973, 173865613, 486989736, 603324239, 665429556, 404848662, 875249449, 786996604, 199397429, 1054274161, 137889381, 142368501, 716266273, 803980296, 533183364, 499141079, 385678357, 568616645, 279264611, 344989850, 511745012, 590362112, 447076055, 55314435, 809342392, 645269151, 78311715, 860925720, 179452953, 487281360, 241709136, 839229904, 494310396, 71643160, 839718797, 254414049, 506730100, 894575460, 161961505, 819617870, 893932132, 40989959, 228284450, 435648186, 663475253, 277182097, 318774696, 623506272, 70360235, 1020973508, 550853368, 725673053, 162565641, 597741361, 407885808, 932312605, 538550487, 410968365, 467979994, 682372022, 42324527, 979735447, 825724794, 728939629, 312561122, 768108589, 690957083, 655120026, 148986212, 247735010, 841306598, 534685285, 54069419, 832483892, 969153808, 741237561, 202214685, 33176233, 138844308, 173187579, 707552925, 844541328, 91661073, 798490123, 688444256, 824022639, 217817380, 98235893, 753610878, 151374091, 435875617, 822889410, 107932043, 152381575, 402337381, 116244351, 726297854, 335309913, 359272777, 465932350, 11779909, 1037931747, 764123505, 790612566, 453915236, 138848278, 1011289031, 232461123, 705099324, 255360323, 510493704, 869163728, 117746327, 372406176, 884588946, 922835708, 276141330, 246348997, 258001101, 427112633, 826151424, 894190270, 967574880, 768236713, 330725428, 515810015, 643673054, 888989829, 729691810, 1049722182, 138303439, 579091606, 885613454, 550666044, 878582799, 504513654, 774212672, 138456010, 533567993, 553281975, 197449736, 520112150, 1053906666, 764302587, 567757151, 881305963, 1002656957, 594525342, 145745379, 309141185, 544905166, 1028621140, 514442092, 869609105, 994528947, 935255561, 822020162, 275860138, 81232114, 111975739, 578951244, 391750423, 1064561694, 60078546, 121872733, 132690151, 916382, 952515654, 848827949, 943471195, 329174788, 61623749, 83505018, 132225053, 91241365, 242357945, 404364501, 333034421, 993824062, 542784817, 1018470956, 368054624, 285199438, 376321376, 958024727, 869420468, 678050555, 116310929, 472215956, 314199760, 1060991029, 868829317, 1000549384, 603407699, 608000790, 256233533, 91429353, 444142402, 949197672, 505872601, 417284506, 761214406, 853423935, 676367786, 413004949, 1053641603, 38113286, 821178566, 151110917, 165525995, 871897699, 29128577, 471381286, 838201347, 336159732, 978193020, 1018555571, 890924902, 242540934, 170694724, 494228995, 807969528, 390565731, 845060377, 127365826, 955260908, 423258663, 1063830320, 589111175, 342560241, 531254453, 1065698796, 285313040, 489286767, 381751214, 298137249, 877744132, 524125846, 776534180, 198632101, 102348445, 814900826, 239959466, 697288288, 862741152, 888897795, 1033225630, 511915371, 854709388, 403422869, 1073471074, 163221739, 981218679, 66138386, 197808615, 1004393963, 139674994, 318692068, 393459098, 973667642, 578861969, 297654841, 224386617, 587588893, 1069203873, 882022737, 839593830, 785643400, 109812811, 829099984, 628790850, 529947820, 301226981, 918516960, 615411745, 52762737, 983770218, 24239990, 538581397, 34904062, 699004530, 456601218, 648405867, 494120504, 976602159, 1028227200, 613000341, 75530039, 674218260, 644999815, 413704405, 329082923, 250194085, 296075937, 5488470, 924273293, 337983974, 420649800, 973748212, 440354251, 796296767, 295412613, 854217941, 694513167, 805231777, 708293601, 293243828, 300927735, 923319497, 771100577, 356940558, 943482768, 808191400, 185151805, 891198830, 165393581, 1041033709, 643260927, 830959043, 655644059, 860517796, 1026681631, 318785537, 687743446, 180785965, 643765277, 930229942, 641447774, 959771898, 92769388, 1008553498, 422077088, 132545172, 214936643, 901971583, 1009845788, 25065594, 196768820, 581244587, 59628887, 614359066, 1046476790, 278774821, 202043656, 707951849, 1064101034, 987991381, 343621861, 879487446, 183413135, 1057298471, 543511504, 490659212, 117208050, 869101750, 159552432, 715538509, 402398364, 755036152, 437040938, 108968695, 971082201, 957614399, 836593107, 504930332, 129712144, 1001647255, 17193170, 530170372, 656293894, 522390060, 470852379, 982964843, 974798794, 39332213, 718575071, 474706602, 1037807783, 910855069, 94357138, 494348189, 430330836, 343317156, 273613264, 58882160, 209001502, 507333911, 248068990, 432889894, 553978168, 1056209393, 401704425, 713221539, 562736379, 283425472, 609320617, 101965632, 391162630, 926055733, 1066841834, 203952291, 194960427, 908611352, 317691926, 306013214, 51143118, 567291991, 518008234, 688367863, 546366309, 797376706, 916467082, 28211358, 980076799, 158911012, 673121600, 833143011, 60290143, 319945837, 913040789, 787457424, 98266551, 291982639, 548929495, 114090556, 665151459, 662189872, 578095322, 266321748, 112563383, 776334819, 841876062, 63212038, 679085230, 923971253, 744834649, 728810387, 920034662, 1059048626, 64905123, 339668083, 514524839, 827416695, 65176778, 529097241, 624648259, 9371011, 313060544, 390847571, 997078619, 710491741, 1070008327, 10401354, 163593456, 917603768, 657744096, 178281325, 345731995, 628742286, 1041860449, 709009423, 898582639, 923072673, 305715817, 664290968, 279370930, 417991421, 831316939, 822076535, 680266753, 820070999, 11400689, 713846812, 516716061, 58965426, 626812192, 160563666, 252860723, 405355188, 481124033, 232244193, 501219535, 792888276, 865094687, 98134877, 343169471, 266197786, 757098275, 477181720, 705103905, 693416734, 1064692537, 801663279, 32937861, 384728326, 915458804, 666451701, 474178545, 753995541, 127557178, 747257351, 341216276, 513306798, 270911627, 181389237, 22091068, 2924466, 82905909, 763628276, 1019177548, 820377097, 285772978, 346584670, 81764845, 765649447, 936759305, 305667842, 240681883, 81224263, 153502928, 117189984, 142640449, 322627305, 998781849, 710421691, 442214485, 308299203, 729692122, 756199705, 491303387, 683951501, 382688700, 635783557, 649796025, 912527793, 59930935, 247805232, 639915046, 940591421, 137991113, 257563942, 658512907, 141553523, 60180443, 9160272, 216138424, 84598201, 552817222, 822934477, 100081986, 452414901, 970485968, 540421558, 591605108, 475900765, 619070437, 695818429, 293512238, 541232394, 903031766, 724759848, 139971951, 451924890, 131532151, 972121441, 212460889, 878749894, 511908038, 522484545, 262820073, 799383461, 295176290, 830507198, 578597197, 531995765, 149236703, 667164, 366553145, 188780601, 129652283, 134946225, 471442941, 869690132, 390888124, 686407491, 7213664, 83354365, 947507029, 404585821, 894718430, 992150796, 305968010, 41863874, 1003022608, 909105061, 1007462559, 229382513, 317862002, 914114411, 100792980, 326662068, 28245842, 981940983, 260311798, 865375313, 61336084, 69172458, 649568367, 421837796, 922541881, 831614025, 820883851, 357740018, 898004320, 293376810, 651656983, 216443955, 498998181, 722732380, 277617605, 265280897, 776238849, 677442369, 418828787, 870134869, 944929044, 248161056, 853135419, 694294322, 439963245, 368929022, 704309090, 694907752, 623241949, 421813646, 313979965, 922108590, 931278697, 10821420, 439195777, 404287699, 900813594, 159418285, 408248676, 39110842, 781604949, 533195103, 543432391, 499928144, 999577750, 299824617, 319914086, 299692081, 405657700, 1065915606, 22544478, 40426201, 557066593, 469541520, 141665605, 656094626, 436231335, 328057112, 424281319, 597691694, 597698719, 31823913, 390374963, 184096842, 96994739, 783539352, 521055396, 169342596, 617912959, 650649062, 771819535, 158749823, 277829836, 984186070, 886452114, 185489402, 228758462, 961716667, 883157465, 635590308, 539213727, 987370696, 176700159, 151405718, 531364949, 1014186269, 4608581, 1028673126, 585897730, 802213178, 272606551, 287376269, 212362580, 1040439206, 1041421035, 254391045, 890138662, 421308516, 959156327, 408663037, 335611679, 598683814, 31784017, 963283773, 800471991, 933803878, 791650566, 973170801, 181826695, 129171525, 840352012, 80317094, 173782520, 217864613, 894429543, 549211372, 162643305, 765471441, 764122728, 158459930, 940788718, 259643181, 373282676, 870721533, 750056384, 518644405, 510979216, 356829852, 618584207, 386860024, 292424641, 461203710, 836766535, 974969624, 786925718, 543952396, 488287144, 991130866, 290641970, 1022418105, 240733048, 754419629, 795457354, 390545473, 58069628, 603337703, 668826680, 119496186, 728139201, 868725853, 369759719, 483707250, 413936908, 929352432, 964740873, 640301651, 1069671818, 247034825, 674029071, 356515523, 502366578, 347041282, 161094222, 969148409, 730947935, 1054102951, 965684547, 804637954, 830788198, 172137569, 434688430, 101652302, 641770090, 825833470, 950849948, 601490130, 22495775, 866567765, 522186273, 670134013, 829156790, 101432454, 677510341, 895143409, 821883249, 159776925, 293263794, 708610774, 415459896, 462581826, 717144220, 232973751, 387231519, 1013347524, 44544277, 331417785, 342376373, 11916190, 380814140, 891335223, 266031590, 712186267, 603480226, 984238052, 444648489, 808633353, 398805570, 315013944, 1050462629, 638868407, 775199301, 332230578, 501198191, 772218089, 228975542, 233162491, 734937320, 196375451, 120740750, 736554774, 1031556448, 977666579, 207587218, 486878291, 444293229, 118639782, 127429237, 393255519, 2726573, 610238508, 41551454, 549426619, 922609654, 464821751, 590956681, 754609136, 598923959, 798186612, 766488300, 329637727, 562632104, 770566755, 4440138, 933469590, 730810796, 113940424, 758612505, 700346661, 989219875, 1002832711, 641961563, 389288771, 164246000, 339991553, 462309813, 887975814, 66576940, 318328095, 456332771, 842559230, 1040160392, 542719600, 475879177, 729707382, 999763376, 89879429, 488309641, 9434160, 741106387, 722848541, 967939420, 991651958, 528584790, 162257156, 227800541, 990098045, 88748622, 183125323, 422957707, 565230868, 99083166, 978791425, 474582163, 23973745, 4177842, 691582087, 71729381, 643330403, 975501061, 339401744, 75769768, 383411430, 197556833, 1051996809, 48344626, 360388892, 827232762, 909341371, 385086411, 668136348, 251716679, 830528313, 316224396, 1019885311, 691554504, 561995647, 842862276, 555426629, 382605284, 575391986, 806008550, 320741870, 329373104, 340062779, 590173012, 66877337, 801120766, 406303805, 912957013, 694232813, 485069537, 134398041, 400788445, 358818537, 126100581, 480773800, 265891815, 292874296, 528585572, 840124682, 971767061, 184023478, 16754736, 1032036667, 776516274, 436282136, 154725169, 76873473, 212156715, 269916910, 928926512, 773472319, 686178150, 309235034, 687496457, 909952295, 164654704, 1000676474, 513094000, 407116059, 587356253, 994178945, 1060293397, 97557372, 574703807, 677352942, 147120124, 646333837, 925353675, 273910396, 782365088, 963390574, 459469153, 118948441, 881952465, 69923944, 387641492, 519533597, 1026420599, 81898009, 1012723000, 420839289, 820372505, 922735585, 862396791, 606438053, 377241735, 774473867, 522399788, 830920157, 181423518, 75415751, 58656800, 253064908, 920161331, 298133290, 947950448, 225218998, 391855104, 379192577, 564478247, 173217136, 43273753, 699719658, 316791602, 883779982, 674270858, 402151016, 804542778, 7300378, 114740532, 802310140, 568989102, 864729437, 331069896, 149120263, 740533755, 735353773, 26378776, 680571827, 328749645, 949899523, 645369584, 194960127, 524788259, 216973285, 124146966, 162988858, 700793028, 894088345, 180242124, 741090797, 858646453, 51866950, 488421934, 914228665, 838934126, 604088460, 703751705, 631467366, 177266544, 987510429, 813555373, 1023211697, 1042784620, 654354690, 17922851, 158326159, 170972089, 150047436, 256413402, 307651840, 984773102, 45572016, 1011041243, 250547648, 859715184, 894386566, 488081148, 391253536, 981843894, 220933734, 937480361, 200506062, 507226368, 260513957, 79930546, 335930565, 963711236, 43899639, 421030288, 338044672, 1025736185, 786970483, 768744069, 1063258496, 955200905, 913101870, 669768657, 525532223, 581054707, 348797606, 727216236, 1265133, 211632906, 228924392, 510883903, 314723260, 78292817, 887761958, 76600733, 48903695, 664205792, 927297855, 449678926, 615150932, 1009987796, 426702034, 647717835, 903036049, 79642275, 683645494, 753048707, 287313423, 676592886, 799931027, 811506595, 238796801, 730867693, 203729079, 381792054, 654353057, 19265435, 842963684, 766178424, 535437002, 303957676, 954257547, 882189799, 475796926, 640209825, 868834243, 300677764, 1044044078, 1009395569, 390431402, 378275151, 524073486, 241648174, 166340401, 608327842, 359882936, 459354846, 125247607, 980239366, 458620404, 144397679, 248241742, 1069796812, 294371130, 661516970, 95264789, 770613174, 221663024, 825033424, 798218326, 986340319, 850411783, 140925394, 792684945, 522197611, 868294169, 994859594, 404549048, 170442712, 888332843, 630832327, 91096948, 35076976, 496890142, 815255138, 854415848, 367320929, 899636106, 259579224, 322463119, 500333465, 906820933, 488753477, 937569685, 459019204, 851857722, 890005198, 120629400, 506168142, 561503732, 832846544, 907328331, 1059945133, 433698238, 965662932, 336224687, 596846924, 168518092, 25287183, 520267884, 693923950, 1020909672, 747166167, 191142307, 712196450, 116501524, 747497986, 427631469, 739486692, 801161485, 622324404, 331289869, 934368944, 641610051, 518683503, 483143194, 755847875, 780031354, 67187419, 718241721, 905815957, 1039176853, 330573107, 83211863, 570999014, 312744316, 704858207, 616003047, 785149792, 802291003, 58975654, 796280691, 122653742, 739974833, 687169661, 613663303, 273293465, 629635904, 36293235, 297450316, 438126233, 1037848792, 754955246, 204322288, 979693892, 247897063, 868107948, 951154552, 708582065, 544574412, 647152305, 945967419, 137209286, 1049518587, 901659921, 167203009, 577888923, 494895111, 391743221, 134989736, 1017325871, 25900088, 849533595, 828555510, 14478476, 927889905, 947279058, 508009343, 724347660, 365544464, 455547521, 347349859, 940840724, 1072856751, 888059327, 346938095, 431366370, 344239301, 605733280, 658973266, 1007354565, 719736832, 445001830, 818763922, 185319142, 816337790, 398395273, 119625359, 271237765, 256466251, 384692033, 593174906, 633838151, 580861411, 58345914, 205089393, 1061952663, 477426895, 681059429, 337137564, 372462049, 850940464, 986912913, 417709830, 236791162, 658606195, 698643955, 356996252, 702146539, 658356265, 680608124, 171621143, 961942347, 782561302, 562305487, 363947978, 429086098, 534908131, 542903897, 349076735, 263989530, 132905117, 992607416, 473102662, 815920725, 407841266, 371853855, 751022717, 523119078, 197310031, 346534280, 74657127, 914250795, 1031755894, 112222184, 749919502, 38280307, 238379544, 321338361, 726694188, 850611808, 745018542, 855256125, 927968903, 250487475, 445371026, 704075376, 495826383, 580344864, 596950546, 192583221, 975132973, 358485240, 442199282, 550744143, 831887817, 247128381, 1007184534, 370121004, 977928184, 552209559, 827692331, 891048032, 957459817, 348993370, 343952698, 647785827, 656225971, 518152874, 1049045807, 1040018814, 1002284857, 733370575, 943058467, 506601170, 64744174, 1009851006, 238054963, 304442520, 902387217, 631522680, 494017055, 588105230, 79079111, 98747856, 1066604196, 299093503, 133163090, 1007669030, 346941737, 887646834, 782909816, 1016513259, 963488903, 924491181, 585738473, 267174332, 449461628, 293873674, 853844552, 197338714, 45342510, 238412210, 64064718, 387518381, 828278338, 230519750, 228812889, 215369983, 268231103, 804508521, 1026792838, 988107716, 689334530, 664894995, 198448759, 878758402, 377000804, 192653714, 458611046, 560679620, 160212529, 556964898, 102113373, 465449283, 369918524, 409057128, 114765900, 531859396, 221034878, 741725072, 274090755, 970195357, 850633375, 810114971, 487155245, 519653477, 656032531, 177061049, 323457496, 57473017, 554530857, 469413632, 886941715, 35701031, 530933858, 10085791, 617119894, 904233668, 360262562, 659475529, 183748660, 803505600, 970786294, 908857375, 452796772, 69250782, 191688299, 391548896, 944670082, 223891867, 2407870, 139839593, 190837420, 34261988, 752163907, 447988395, 773099279, 227992773, 616622061, 20363316, 807103736, 112986324, 326309960, 1003583612, 754239278, 1002913340, 175342708, 112050773, 326076909, 226619705, 893030295, 750392974, 1037648814, 790662405, 1043206080, 692557936, 163403304, 942270898, 223218305, 1068429420, 1048535976, 287950992, 344090145, 518611278, 768663379, 1039566235, 319222487, 584695241, 516092003, 211405984, 330044146, 569345037, 751193510, 799031185, 47378360, 515180085, 889051353, 625824240, 579260395, 348425745, 1022999198, 22105349, 287739332, 470120060, 945621665, 1035082399, 924821933, 484648722, 658737976, 447651079, 908339841, 262533503, 994159133, 828103147, 747794185, 757811059, 286662401, 955855888, 947384647, 623108891, 100685292, 966624139, 620830734, 295516403, 10242783, 876283723, 1039176425, 875731985, 681774303, 403179658, 588407466, 574776917, 777557931, 260624802, 412263822, 1072717395, 323720301, 544651776, 175527435, 834295275, 692958428, 739164205, 1045089519, 977714426, 795706362, 202820838, 846741708, 655344024, 60803660, 150400168, 994529655, 497108797, 1036690261, 785903106, 451070995, 539682823, 47631477, 1007096231, 1060457881, 770239022, 847453442, 547376215, 311406815, 31132366, 1014369779, 83820012, 543996883, 406802100, 523849058, 13992374, 86371016, 185110484, 826488153, 218079215, 1012451123, 496116504, 312888253, 60645318, 687487302, 948321653, 523788032, 693272868, 5942006, 323172949, 544680799, 407765510, 368970065, 918422172, 130248652, 539367590, 80268122, 564637740, 815573754, 32135516, 626877639, 120311747, 703998515, 681620319, 976850773, 950423667, 726686427, 88851978, 541645182, 1042477070, 741371192, 678257463, 671222746, 189976398, 221609772, 208374539, 127008261, 387586958, 636510008, 810698186, 55144035, 841660741, 810919728, 762789145, 1072012360, 681525832, 791665315, 372746339, 197862085, 1006897035, 703887568, 1030187235, 252953274, 142892470, 448029658, 657576525, 848877775, 443711283, 951563298, 915600745, 873593788, 448002743, 227946095, 1031885567, 507258826, 1031178764, 10563503, 507507394, 1004347724, 735507219, 316488348, 900631639, 605302986, 220684517, 96800067, 920077085, 218138684, 39986986, 170579726, 774695809, 41355918, 576439587, 19022986, 85002311, 737061781, 320732221, 748676229, 676417325, 892169081, 825060560, 84182639, 999899280, 325544977, 859879066, 1071950414, 91888153, 976693230, 449953705, 281068071, 222438170, 323688033, 508252081, 961325034, 334884755, 552724251, 51994028, 383525770, 538766251, 381886484, 653222826, 435062696, 655099363, 249641065, 149443055, 922851863, 713779264, 147419814, 883451501, 422487300, 164057532, 782018293, 453891949, 30788291, 307619484, 48483312, 899064950, 730108319, 13048937, 761764997, 734191545, 131919859, 46121787, 765887632, 708916543, 894042874, 257491929, 779014106, 592698434, 794889520, 224986286, 261074203, 97433631, 890184015, 330282497, 749622513, 794105592, 1002938071, 394587016, 9414638, 128494928, 446357874, 836760273, 889190400, 234511108, 953420923, 9261281, 737821702, 7626653, 192681246, 246303500, 478429387, 982793347, 195696596, 355531278, 475606223, 646233749, 119931004, 524304133, 479932031, 725050671, 103417122, 306091941, 233148206, 819190319, 749612852, 535092277, 948214305, 184370395, 751231365, 778786008, 154322824, 321919572, 872406269, 461919134, 951474211, 866544689, 385185035, 761611441, 560652707, 1004766328, 171952207, 486685776, 575266750, 451138726, 328883416, 740544034, 777546932, 968268814, 1042637405, 953129289, 917870484, 878569684, 294587050, 196742045, 693166880, 106023749, 463760073, 482781034, 917475338, 1011571451, 764036993, 300452066, 990584189, 787510385, 932024878, 140882495, 222726624, 873330802, 1072844391, 96272947, 824151880, 783563554, 150066895, 501320277, 471071973, 670123361, 399652346, 282303449, 835664455, 244295105, 450121229, 1029782776, 2802344, 908721959, 970341022, 138331239, 553427241, 326896247, 129259386, 39735665, 667186182, 562311534, 7341679, 284646489, 735871980, 704863622, 858855616, 580582994, 156084404, 597496601, 9858061, 426614600, 188132738, 1017246593, 595904292, 761146316, 790396646, 86323610, 761406328, 818059108, 735873539, 173543119, 668230834, 899648333, 783605863, 265698821, 144871247, 912853822, 559004858, 46381899, 1050875616, 532828513, 468596776, 332178659, 723225474, 310502443, 467243308, 1066283542, 514209648, 621051547, 135681982, 49652142, 798013145, 66665505, 840190936, 937748880, 917564120, 331579727, 983926449, 1006500609, 294497991, 880261943, 269484990, 56922971, 808269694, 187371818, 973571015, 510564921, 15643006, 679227210, 717307192, 290032219, 824415836, 350236861, 704126618, 714411498, 558273742, 1014027812, 374365988, 10336987, 126978709, 679772821, 732108293, 327950239, 484506225, 571973068, 461441709, 363088108, 60797539, 121197587, 744058365, 872633609, 69532854, 804989407, 414121592, 155209086, 733434683, 628213678, 88124773, 183171025, 195512044, 999849272, 868121795, 798069447, 16249255, 617850884, 34366061, 563464252, 1034389947, 788775049, 1053911580, 672778114, 229083081, 225591481, 497599301, 538406002, 894470085, 198310573, 325837103, 171678746, 641980836, 962189926, 882343941, 40999777, 308979758, 86881515, 959432973, 527064748, 1068784383, 486196509, 970855920, 118286867, 498370184, 556820597, 1007998986, 690279610, 341235561, 322472124, 663280540, 886911046, 359033291, 154020189, 422215747, 106177579, 282009045, 707059091, 376655871, 662241152, 695715494, 97220917, 860861196, 804104305, 1043113537, 74300034, 1030400606, 983099468, 558566479, 420876509, 168995581, 464259955, 141506357, 430534284, 185265071, 606257607, 365004534, 743367475, 754611517, 786345085, 52432081, 372328838, 1025383449, 512920817, 320214196, 84477855, 557408565, 297853000, 444061301, 877981603, 82215127, 865413329, 598182777, 598752598, 283456618, 319425805, 703986470, 542707910, 785747812, 973712819, 675027078, 949124662, 165805963, 249070192, 353717231, 1039758806, 211512154, 678447381, 198843972, 207593875, 1026158027, 703198979, 148585757, 910305203, 28609864, 19277331, 277396042, 278147076, 660178527, 489242540, 1037001208, 778226772, 544158359, 843194463, 631361348, 90232082, 963621871, 91091499, 121206028, 790685065, 247367448, 106835331, 684568329, 322094130, 69287102, 620450479, 998845376, 266531382, 428559399, 486984065, 256987038, 929365704, 479820617, 717248715, 991585438, 1029398547, 292832594, 872536125, 683440737, 30436596, 377208376, 617273560, 835504649, 938536523, 1025566397, 1050276855, 1038238944, 278627594, 817750800, 272507382, 113839621, 550945570, 310736893, 978692220, 865370848, 588132105, 502114725, 931861833, 189847657, 996917209, 75001072, 746596506, 106964642, 205699701, 1035597039, 872665175, 233575649, 681121349, 283886283, 353594066, 980144541, 344689023, 396551107, 712475460, 1023497875, 345227941, 1008069498, 648148620, 523002901, 759681683, 21692307, 260027701, 436504243, 51361736, 16835087, 773624900, 356924708, 835676635, 1028163168, 723175138, 61987006, 28687398, 735609034, 435010508, 3080454, 26108503, 951034685, 178252097, 729876752, 117309183, 441061227, 956103309, 84069403, 222769288, 445170949, 221440766, 293268221, 350214399, 188457458, 527544349, 938890893, 119990766, 725045135, 925470731, 47177326, 303614760, 358000655, 1061582435, 353015702, 541865118, 991912539, 775972163, 781187379, 473433751, 925642115, 640350086, 21149482, 310685449, 579867483, 776134798, 554587508, 163346064, 361176329, 58880700, 138974852, 77442824, 718170291, 249461651, 6883662, 761563734, 322411793, 387113281, 631011112, 551936288, 508522594, 371677954, 511045663, 925315037, 938080164, 454494444, 385970761, 792869554, 1050833531, 1024929764, 851785605, 735047962, 639269737, 313783333, 1045331886, 233139175, 896216929, 608866674, 812281310, 634604694, 531850008, 945860387, 990451292, 98640415, 385829201, 300003842, 571988357, 311086798, 10657176, 472738782, 437420359, 992576599, 418238970, 558780478, 35768105, 225373099, 214541875, 897952612, 128252850, 120967833, 711445771, 1012487210, 637432080, 685487805, 350872896, 589800388, 174401488, 49061989, 1045752565, 148573638, 204542202, 1027825438, 1037348823, 931907544, 690919178, 919692168, 459243298, 745029830, 533643190, 813570944, 356369799, 535409384, 711421574, 634569311, 458633176, 1056116943, 53083440, 714017984, 942888305, 511128997, 443165630, 225455803, 1064863510, 376189632, 881435200, 108558244, 712071944, 278219939, 687256876, 508448077, 190573302, 478054497, 625764544, 711781723, 1041324366, 977192764, 408328965, 1050406887, 921652328, 969555649, 13495289, 32718535, 432766436, 516301989, 95781038, 119965203, 948367914, 1004852280, 34444762, 986705510, 682880865, 639243418, 218454579, 194466938, 639253577, 266369398, 281581791, 571778631, 785196072, 947608067, 324848973, 1007228499, 695644778, 188386429, 129830360, 207351860, 451211596, 675012662, 437032765, 842460801, 460600905, 522575071, 1015686853, 254374431, 188353486, 738629834, 442571199, 686197235, 860321055, 439158551, 142496439, 845743264, 463541811, 18958504, 132851485, 285156040, 470851446, 280440967, 771183302, 914858244, 6082673, 102285249, 635301777, 179584954, 905512715, 175143504, 281867827, 140520871, 154242886, 927631272, 561225333, 771619813, 968091863, 968510636, 413711539, 700392359, 443999774, 477096010, 56041395, 604570772, 313237631, 750579249, 1029515231, 107209194, 916672511, 495752256, 664300451, 359082941, 705486991, 1030423977, 996714285, 228038780, 16255908, 886684953, 193885713, 342520289, 729462472, 641943141, 153508210, 203761482, 865332754, 424394686, 399131530, 451580448, 1040356402, 126763536, 513723400, 431703168, 83549114, 86042169, 242072955, 42516955, 876133600, 990563786, 954420446, 779854803, 803299273, 16761245, 822112740, 62256259, 33650629, 90079361, 424508125, 422172345, 411735029, 357280841, 976891683, 51795273, 563261795, 908820636, 1014355169, 501630426, 635691189, 88164580, 1001827267, 639280893, 138237191, 654409220, 888565044, 579055277, 746743643, 158622207, 204437679, 237392964, 240230091, 298755987, 337137250, 42201830, 542330779, 900332860, 498332630, 611298535, 100265949, 529373555, 340638597, 133966304, 285593833, 227549515, 780172275, 213539088, 46519252, 471763902, 228956883, 1041888204, 485726327, 746014223, 524818604, 72690581, 980063372, 1050327497, 862351592, 604288328, 215635581, 844950882, 351526069, 821511000, 312120883, 497628618, 10232801, 193000205, 929248941, 1007858866, 11965236, 763659446, 121069094, 8532444, 236393208, 46062222, 865272341, 991758577, 369754213, 434385005, 335889202, 302469010, 72577071, 71527720, 471377539, 897057263, 347149285, 983551543, 281435563, 720714473, 259262132, 242620142, 156686974, 854970206, 337285180, 450050515, 545768223, 1042912952, 957811222, 714499588, 526334684, 36142081, 38062674, 739979486, 927850798, 277372177, 786358033, 236297534, 119279208, 422478730, 71662697, 989546480, 307880138, 303329037, 850752483, 920227644, 731880132, 860298614, 440111713, 430286177, 256158734, 784346809, 62844064, 680155607, 240514710, 874695587, 173852684, 347425778, 348829188, 1013734792, 395365998, 411984673, 919112805, 676575478, 829644572, 992019779, 793561191, 129544061, 97594, 934891887, 920637009, 1042874696, 581707958, 90761079, 711960084, 556898827, 993874693, 675328472, 776168299, 941721651, 688212859, 428519293, 630017626, 45455195, 702014697, 102866247, 1046982215, 417586140, 67959399, 728788389, 167165625, 75309224, 694513043, 169823865, 712575174, 602414731, 1006049417, 343884945, 415378084, 964987688, 521254139, 461646274, 143682441, 457963246, 510007168, 585208136, 649372062, 613673935, 140999142, 817706892, 110544845, 148802894, 162432163, 768572793, 1039240574, 1066453994, 578360402, 134661810, 169259623, 130999325, 6905547, 607164701, 333450926, 825411434, 1032196066, 509881210, 417593918, 985496783, 54194192, 393336553, 732258516, 756410907, 490260700, 17782805, 826812188, 926608025, 459549554, 175751874, 419453820, 580429941, 848980325, 443032407, 778514466, 481530751, 784762388, 286339898, 246845046, 451204404, 669584407, 971602295, 195780022, 454877267, 677380611, 484343312, 880081275, 885596742, 663240085, 944842308, 1022494707, 469784536, 359039102, 319522637, 1012500588, 970984880, 620593842, 838635383, 728689274, 307576747, 855524861, 128200551, 116340373, 514855630, 874607777, 419512267, 863998709, 1041374313, 791949489, 212941522, 622830427, 924752856, 573942480, 141271896, 741178535, 303302104, 87497860, 54520411, 261131299, 697808775, 131695945, 148686219, 671773391, 719815422, 571123030, 943517873, 956284173, 534953934, 450599470, 328164987, 220145020, 929596694, 117703214, 882456727, 391142936, 152672629, 290952541, 714273840, 787255463, 1023992737, 156069952, 202770821, 896252851, 50851353, 141352628, 240198666, 282466677, 421111142, 690985038, 771766827, 106647571, 865091142, 736914747, 871636882, 357241908, 803840707, 100877323, 461121982, 428668083, 979895584, 315545870, 771860679, 601324207, 1005032447, 1030927738, 785165020, 789399558, 174801060, 136399166, 773777660, 239052699, 864135157, 635980658, 701693099, 1060141474, 156433561, 490013745, 133757370, 23583717, 793017076, 981634800, 1066266094, 944127238, 104137213, 419404403, 1051445878, 158734592, 500546136, 1030915784, 343399176, 126248587, 864695571, 536291356, 9711186, 661425337, 442625936, 689874809, 776828767, 388692396, 563311950, 560397953, 659336984, 1039165718, 853702085, 485179894, 762063738, 157369818, 772974118, 185112056, 982517169, 523623045, 745599299, 110252488, 799209633, 784390957, 386870551, 947491651, 425658642, 19605502, 887940273, 289328896, 179519779, 843830764, 267447844, 1628419, 200297445, 1022918226, 180530541, 90438829, 1014003853, 922325589, 302108297, 476194292, 1035681425, 596287039, 745510233, 476294760, 525779958, 556663866, 394216107, 742242128, 808680715, 1053131465, 814791625, 34744071, 748962939, 967889433, 825059080, 327257353, 357198615, 965293575, 1057729297, 526281855, 865908761, 60071667, 953009785, 616466636, 238457652, 311060746, 990034722, 427281396, 442337408, 939026864, 921883246, 3993213, 1059617106, 894860202, 206889254, 230351441, 811006886, 748242892, 431019489, 55062086, 685252268, 641220748, 111631213, 1017188034, 406462230, 36204499, 279911496, 930575227, 368913765, 322210952, 273651920, 339424874, 9841779, 682230691, 654715290, 27552492, 582109666, 408581624, 68335522, 804197098, 851228231, 70868672, 259736837, 712409621, 559659541, 939557361, 118766400, 235308940, 585185127, 314686029, 256933653, 153807717, 186358917, 84914096, 409733450, 238839588, 289195169, 1012611030, 678090783, 544654064, 300170047, 60488868, 953190248, 91131294, 418880294, 673079572, 254075825, 920757580, 318798461, 664709510, 759528192, 642298349, 933198006, 854991160, 788345523, 623986037, 309920059, 765216266, 209299381, 568067773, 700476002, 594265440, 18759981, 439457930, 828632759, 1010467786, 276325165, 1046959581, 539212760, 1048106194, 757149085, 40703193, 879705366, 492222520, 399387624, 767325125, 514780862, 824367116, 77580615, 941566898, 448576827, 12476408, 3650045, 1019187332, 390999280, 218899488, 733623970, 626842861, 409565022, 228705583, 439808365, 304693800, 734888593, 779546277, 129261000, 618090380, 188954514, 292934746, 558686108, 339545326, 800687978, 805704209, 793343809, 374510803, 473276740, 889168792, 1042125154, 420530777, 388620892, 580526382, 728241005, 1006133727, 1056400258, 849897192, 107881144, 224529899, 934135462, 997361636, 900935103, 949097151, 1031608761, 583748749, 950982237, 306233562, 782038000, 11513982, 866747382, 397047121, 768721453, 664580747, 741475592, 840261886, 763692840, 334991783, 47945997, 1028295873, 130024217, 664794814, 365091278, 858811353, 213232992, 441760846, 172286361, 675971177, 888527162, 291539645, 817668018, 999521098, 207619108, 8860615, 746653169, 885077841, 35132185, 405516945, 465572788, 171748048, 54829407, 81107578, 723996606, 691349687, 212814189, 665302703, 440358689, 68192323, 1051669114, 654865842, 263571363, 7967846, 890982195, 1060284512, 446848082, 748716816, 224861087, 483367481, 178163561, 654733661, 241960370, 261972040, 918843976, 418670010, 1036150783, 628478754, 22149376, 607542353, 23391091, 446644717, 291244058, 465754161, 231027685, 849966389, 571094888, 496348749, 1006934522, 993059247, 630882806, 218797488, 311151799, 453959430, 210070918, 566342426, 571153485, 389450020, 814156255, 330452083, 836721094, 242810504, 21207912, 882360151, 587867461, 133119984, 142753656, 878354702, 620473662, 797579074, 280240201, 561641767, 670395523, 899165740, 481251490, 26033460, 113247754, 866088827, 676966075, 1070641409, 708340914, 50434214, 502353530, 356648853, 642557129, 1072927683, 34305242, 821855386, 842128814, 984522533, 223198273, 59424948, 719234515, 145428510, 532760179, 357409016, 934153941, 730302217, 344547487, 1027487953, 147245050, 541564402, 374098433, 917768820, 329747090, 237347358, 600813511, 950572679, 1004831133, 280840773, 38397654, 1055757240, 882698673, 939651905, 664061003, 1020896928, 839903957, 168902960, 856011327, 185098085, 894801778, 227130456, 855797154, 577404007, 98256424, 313221170, 667053061, 482273272, 34056173, 762858030, 485585578, 933204420, 937271793, 1035176699, 589895921, 1013169841, 545097641, 77035, 839110663, 1061517657, 527331156, 214240565, 860968998, 859888388, 40082902, 678974562, 950537885, 108827273, 401971348, 699843193, 378057347, 1052648398, 499488719, 913891316, 284786980, 124396991, 237475753, 507623655, 1045240026, 343781620, 658959842, 74018271, 558818617, 97501144, 657964089, 485980023, 366023734, 964949229, 259622684, 211056312, 626132916, 20056574, 601914807, 208658814, 1013441162, 1054751579, 697902649, 119486616, 977455748, 390727947, 634696698, 660361650, 529722269, 245693754, 420883274, 486457673, 1011462079, 784813974, 1067706827, 76030136, 432373658, 532412723, 455207595, 865597693, 480259286, 68437843, 602810990, 674124535, 620770854, 647725110, 882381622, 476619266, 86104590, 51029489, 468720417, 304418445, 673581054, 819194017, 253839442, 711821931, 638791804, 677381701, 993267721, 327644432, 856241838, 432025504, 1044736493, 720568036, 676709529, 163527382, 843906401, 472308457, 34402797, 869084703, 715721316, 139288098, 1014499711, 1046806868, 413907616, 234151056, 5994457, 821023473, 547640708, 452423495, 5919751, 772887793, 692509027, 346098865, 132541304, 1059877722, 587973631, 914898298, 173256609, 435941601, 825549375, 769863818, 453411590, 407113796, 559503512, 247081157, 350366203, 131639256, 383080149, 655734802, 201400625, 750003983, 175918135, 618274865, 545729573, 475378110, 173541150, 55815272, 433108284, 1038088434, 963721382, 338911545, 1010214048, 402823193, 175176863, 45004099, 196755131, 372345297, 444686683, 843663007, 482426913, 678190971, 963573973, 808953790, 132499491, 164392185, 509800824, 373692193, 497104805, 8012906, 189240703, 121455157, 475018333, 165130094, 874647609, 525921881, 316259213, 829102856, 103476100, 270262155, 320646930, 991549016, 447319038, 49574611, 172909739, 773175483, 360574954, 657766976, 450664549, 455205970, 235754521, 324588894, 968342864, 759657184, 444219182, 205629255, 791486453, 419206872, 560104739, 128334268, 910106899, 742383169, 263976022, 950650085, 1048124415, 1038175846, 40715576, 461274923, 1010141201, 541163850, 907290133, 241249752, 710208801, 326007509, 875391662, 506105299, 1015386378, 537821880, 249930189, 238497012, 136766953, 741283673, 448689822, 396705750, 319334711, 571755591, 499705386, 493804501, 205843435, 862443051, 314862646, 818019619, 401222346, 189182930, 572255817, 28045015, 887081629, 567905475, 498529407, 90945130, 944602194, 412873779, 333034197, 298191465, 1052475348, 45801606, 358510288, 839130806, 65004816, 443760227, 572776306, 978304882, 1021679481, 564843610, 809074463, 850100902, 625413164, 296761983, 564001002, 912254548, 104650329, 986998791, 471319827, 877970769, 493134936, 674632594, 148387248, 958494548, 393055777, 450414643, 80536622, 231974987, 782220753, 343732773, 681698391, 373205829, 996029216, 455439128, 911286375, 868194613, 249855127, 562901156, 726347848, 889816144, 854617535, 773624377, 331119944, 922161210, 470688881, 349579911, 1047694836, 519700691, 254573428, 144444448, 290843370, 686007522, 603672625, 32312189, 955065613, 607701440, 464466025, 521336736, 844855186, 428670688, 112279188, 410158975, 946523652, 491635288, 174386561, 328177549, 1066074949, 966109864, 98872817, 224403903, 828701266, 1059998102, 492937825, 316688544, 472666347, 585964470, 190633466, 761666686, 1054500361, 60668911, 98758325, 451486643, 617862997, 123277753, 519458105, 616478444, 946935848, 459175162, 923451262, 666538205, 482018124, 679930831, 280833594, 905874673, 543360011, 784018608, 463645290, 437963981, 1040686299, 917898848, 432506133, 160207249, 931547551, 240924982, 708865781, 296859992, 19620953, 422216419, 128383969, 817600203, 1037393980, 544967146, 941685048, 259671202, 941668368, 338779060, 121152220, 899694987, 761455302, 132850378, 919009629, 552330363, 180914124, 500879078, 984695172, 1056656922, 310652268, 678132257, 836477878, 931608110, 396847987, 51902032, 844316403, 812170490, 669726670, 454236253, 636221498, 477702904, 316334483, 273437615, 258948479, 744699626, 111485812, 140104446, 1064085521, 509092334, 674438912, 916744157, 903544922, 327525785, 773806647, 537902290, 1066230683, 549147124, 564812678, 244336432, 685937873, 610799347, 741054645, 592714725, 653015874, 80421727, 582355484, 1069444475, 287785056, 167872832, 674827717, 633158741, 313881427, 972709404, 890009666, 765458101, 550350733, 46605374, 57858437, 762119416, 521622419, 498490493, 949171675, 119044136, 343700510, 841909996, 194955780, 996826864, 532890820, 706830322, 217960302, 740009144, 108824401, 338451716, 140961714, 941334732, 352691400, 668493077, 943846243, 298868227, 317947784, 875350928, 978442033, 687016439, 546918284, 56593796, 249081074, 605393764, 744278510, 518621220, 381978974, 214027314, 453928722, 746848528, 1045540151, 931298925, 824817247, 315846473, 304437154, 978550632, 519840007, 914249646, 495639004, 973411866, 859003044, 1016737020, 682379861, 675104975, 234056570, 552535989, 875634483, 213514625, 273002713, 255818298, 40057526, 317283926, 202179112, 245667035, 983812813, 1062330604, 661223982, 106563891, 978744099, 996846175, 261853303, 779280441, 925729237, 739528621, 440293310, 602440983, 27427715, 517364427, 569804711, 299871431, 36784361, 598147808, 201706399, 658990345, 937522160, 168483434, 609314044, 361164066, 799822686, 676150561, 877060135, 697238717, 524778471, 918907089, 492391538, 404745953, 322317111, 311369517, 631905782, 501189780, 968101087, 1070464207, 510712740, 539592169, 318994461, 692156424, 392416998, 880416528, 959751788, 892651425, 739941244, 128978703, 106123764, 910202249, 593831379, 993465023, 375987974, 121203324, 274714391, 775090399, 398509231, 412049041, 874201256, 640652176, 482313689, 54644148, 920092662, 147585081, 816725357, 683298317, 90235316, 238931071, 491570816, 8785370, 905217999, 1009888634, 1030016622, 340281282, 519948738, 106656567, 1067313377, 461531604, 87233053, 813649291, 159037542, 860304544, 963217992, 325857732, 809365315, 1020222365, 862746874, 316240817, 108740923, 34037031, 195049035, 484597258, 983103174, 203590800, 503048464, 449397941, 211731673, 390095384, 464139100, 43533156, 555959286, 144036758, 53292357, 921414120, 271197368, 798662164, 875098131, 477062409, 727299329, 34916919, 218380287, 322973875, 561241561, 417099961, 387714967, 677241488, 224336860, 733958533, 515781363, 101662389, 609411664, 633819953, 667994501, 343889694, 114440122, 555083706, 284031969, 276951090, 791720326, 889320601, 752804302, 487365894, 49520639, 727115839, 665555603, 914377995, 140747393, 763930737, 391998902, 837926760, 506326880, 596042511, 172817302, 1069861777, 110997608, 708103729, 491929653, 867133832, 563332012, 712141107, 736280865, 230626857, 1023161053, 964637344, 324783534, 791050565, 467221186, 221457649, 826974953, 185377111, 759323595, 269138332, 945813166, 455968052, 876105649, 401610117, 935214010, 135366629, 884394442, 79190275, 634597864, 641232215, 687924706, 1069495744, 362550387, 1039202536, 915434729, 748468868, 866887981, 79410647, 402382369, 891476468, 841901146, 922929069, 761783279, 498768370, 116226924, 725669202, 707118523, 525623525, 648613024, 904260991, 1036241993, 766686146, 694318921, 150644831, 191415307, 859291031, 298192643, 962297196, 374557102, 405056727, 739907358, 882995039, 781154593, 334176158, 858650176, 48197159, 593071200, 375030690, 779530455, 15926929, 37367567, 44711449, 534279002, 713770263, 647076943, 586362679, 435199654, 346121806, 1058885630, 204870649, 720535530, 1018036996, 709994573, 740904043, 202871249, 416343833, 810690707, 664992367, 223303635, 190587140, 294377307, 826493197, 1027490844, 163400370, 314598418, 365708376, 474370128, 218085755, 99247082, 1031487889, 1036395714, 928395000, 8889752, 793243233, 1036481527, 477177434, 420184380, 1062900421, 216206594, 248321702, 962962041, 959293084, 265931339, 33472779, 578083643, 324640269, 419007764, 701206389, 272163667, 706572024, 594818909, 57323227, 394858533, 636069543, 473870705, 389073809, 715013922, 640308982, 196918489, 250438160, 954243875, 597426026, 584199446, 260099038, 871452879, 590423750, 101091339, 389812949, 649654283, 332283996, 502613408, 45137014, 879144055, 4440834, 781420423, 410144356, 1035516503, 297638567, 772632309, 764958293, 488670861, 933451559, 223146422, 650789632, 548233120, 300992341, 775018728, 942560740, 263155267, 132108916, 370250425, 855111842, 960596810, 197547371, 908220708, 21782328, 805766340, 334177581, 195112833, 29087520, 930837170, 532346599, 822779459, 462601946, 261030113, 723474153, 89973897, 103317452, 218508442, 258648897, 386701846, 656242076, 262963782, 42352245, 582277018, 26390063, 678533174, 660707719, 125484554, 10791638, 537344323, 707558067, 522975254, 599968477, 428112069, 972140942, 310447999, 854288799, 122341104, 83484590, 501106863, 812343119, 45682089, 303118889, 693245972, 1057662863, 745483991, 904869803, 161544349, 938911921, 1057473130, 1068052905, 766560699, 139226165, 851222568, 770029844, 671573102, 580819791, 1066974048, 154579151, 562449490, 670508679, 169384087, 1068734419, 197144715, 170526113, 613618129, 876847108, 1041929422, 887469309, 1048436353, 975969211, 245559811, 775587644, 364164292, 1002863744, 807369884, 975573100, 198034780, 207773682, 944731271, 130308168, 591791652, 68000578, 648945476, 450386171, 109703606, 1061363909, 327717576, 879787865, 463035407, 372669790, 766657070, 529457759, 983857471, 595703165, 818490210, 783835772, 496943019, 324101428, 654765928, 35485652, 1006074077, 329823446, 435548285, 868851856, 715120929, 1030574141, 57704381, 151994701, 531017233, 777667230, 428171014, 82443011, 800839278, 749964067, 854014678, 282620604, 1036021290, 762116605, 357765082, 241155337, 734491669, 775967371, 910341132, 974855798, 706923765, 1039304089, 864263737, 730774462, 987817771, 231092260, 26828265, 870209532, 449729627, 513416209, 701972165, 582542248, 576388263, 825125041, 566251576, 266665850, 167005642, 328575024, 948316133, 27829524, 728029100, 369421220, 682571266, 70446402, 620121596, 169492476, 803735357, 341152812, 803489493, 865419886, 454103475, 706041764, 624032064, 152885877, 328027792, 191123370, 364981806, 109349951, 558345513, 702218980, 1007980535, 495448378, 1003491109, 836484296, 329093203, 1061171244, 461980569, 608032872, 278613389, 927077948, 729003318, 665999659, 307110794, 408008385, 68066589, 962091884, 323678783, 86039236, 940401783, 252357610, 697281120, 467669410, 852572781, 790062723, 189951047, 550383557, 961552974, 17361872, 665991697, 740783630, 378305750, 1072559790, 28700245, 139834635, 845363831, 1021641119, 401898076, 784800425, 284291899, 597037241, 904724854, 469352033, 44840961, 48806133, 697216162, 700372474, 427704454, 95607831, 623009717, 674439440, 766900412, 641597463, 236952241, 392801327, 55667362, 1006023183, 207548462, 317705798, 988342282, 416891675, 298116207, 579438830, 818449016, 829781996, 875556156, 176924233, 67577459, 168393815, 269669604, 68400105, 592459296, 797495284, 920938113, 400817979, 893482578, 466631854, 236082717, 640006660, 401279699, 807530462, 775011556, 543210758, 797445294, 211922498, 481058286, 746036068, 225382131, 93636407, 529157921, 499375750, 133037964, 993843574, 74016187, 568222008, 183734784, 602215627, 574264622, 493301010, 179638107, 203781891, 655309293, 182023038, 89298277, 888246961, 208026949, 743480998, 722476293, 456548743, 723533376, 78374113, 333078761, 267645919, 300929963, 975751874, 516500812, 368370799, 199100403, 257349668, 30587212, 1073400933, 219449730, 812372929, 739834205, 101429988, 550144259, 284421698, 442385863, 303844292, 504748563, 465334271, 113199415, 135954781, 669332628, 894928724, 272261511, 419023599, 483616285, 221640264, 1045268864, 1052721379, 1073356164, 650027621, 493760037, 881767031, 860207943, 1009881613, 629403299, 805142105, 342091653, 872459445, 308463319, 519836249, 921932020, 380224794, 135587939, 965163906, 990178768, 683448560, 39940849, 13589016, 710669933, 485159706, 759836355, 573919876, 514865126, 871102765, 71858556, 837068945, 628540816, 307155925, 983133463, 254640740, 887894059, 994352925, 632017009, 235029516, 318548646, 504000586, 95005178, 247536131, 615647570, 823302628, 697488690, 460806828, 962071595, 220001664, 685359403, 985220507, 496631799, 1059328357, 399707958, 791276617, 591484398, 567127006, 590900401, 888029985, 71419735, 554785780, 587692959, 42792489, 364940, 446138160, 950907862, 632506543, 219055394, 315847294, 177111126, 482777259, 437423748, 794548049, 878367094, 344715371, 813717069, 570596365, 536207250, 801607414, 934420209, 1005177414, 114057659, 865183130, 970373344, 17666354, 917504880, 89773520, 975880942, 197247473, 1051278773, 542359320, 120339795, 769839278, 403313694, 788332896, 1050510279, 196267337, 137975138, 362726449, 136032383, 290297970, 1059509880, 504452426, 441803797, 892046141, 263039915, 415205717, 1068046501, 233195386, 135509278, 364092959, 478699205, 208858982, 1012849531, 289523109, 525178791, 933032837, 887945472, 596776271, 748699273, 377158274, 451857940, 661541494, 45213973, 82924234, 1068357002, 714133290, 212268640, 173957079, 682520693, 405614826, 368633201, 228870662, 871393394, 472369460, 194320345, 864559411, 918913907, 1030542274, 621104711, 949177060, 1008197448, 178024953, 610893487, 986569089, 901449782, 662803899, 361690833, 936367061, 884200031, 463932257, 1071367013, 455249766, 546123064, 739067494, 91665415, 197694757, 1061911246, 797559460, 733721532, 21259348, 238727777, 953501424, 861284443, 921733966, 455542847, 702527169, 74121815, 838192943, 40988344, 205059120, 902206084, 586962762, 664762611, 1000199447, 651013049, 747198958, 50629707, 480227658, 102532967, 1053646820, 797862772, 215369982, 855451362, 133301671, 214007171, 544662593, 439931449, 578136697, 319071827, 651255995, 871688195, 929579990, 363681168, 873184491, 20576485, 718564776, 784098859, 907138377, 624757306, 732056460, 287269887, 791839137, 711496429, 293335195, 366736762, 792539973, 588749928, 567076498, 162926240, 778956787, 600995878, 938227811, 316202737, 15827615, 83033956, 1043736121, 661070419, 992365064, 668430707, 1008187014, 32895508, 547091772, 167578818, 601512665, 968789604, 461780413, 84022430, 954119553, 724530842, 115749437, 826901583, 479223191, 815089478, 495106257, 295135411, 475096644, 436160979, 891134030, 838683797, 1000506783, 560660051, 300361175, 867284896, 449439048, 501036858, 841384759, 934521996, 797415644, 249347159, 337991941, 621976928, 875123483, 542988427, 430406624, 178117323, 400979582, 1071830024, 184273780, 292345680, 420236094, 1006304963, 1000165489, 490078645, 592999973, 904881892, 506483518, 572041444, 361402922, 158914194, 251509103, 693495873, 313506448, 155477618, 229518814, 885026935, 793213046, 245564173, 238776917, 117025113, 191601950, 756500829, 18702276, 266978683, 747914342, 844500012, 808416987, 733778370, 583323198, 61071210, 25466720, 976031164, 541670477, 117419286, 485128962, 75446272, 236933828, 410559195, 605124739, 686324661, 649120180, 652083733, 829633413, 382176968, 761908290, 1057735376, 284396676, 114129997, 88968516, 946824648, 67240097, 497857824, 956316715, 733931136, 703363045, 220248487, 705902416, 861829122, 1019682077, 497350280, 594155901, 144191490, 651882497, 738371514, 730212028, 670786806, 645764900, 254796412, 251316647, 751996039, 33342451, 740195152, 197755335, 348153983, 129410108, 540397917, 91110758, 439931232, 354592123, 679460377, 1042906102, 733994144, 630201334, 401228982, 841599305, 659732115, 174247131, 152452082, 362384200, 683271208, 820120857, 433050695, 542935427, 744178468, 249600961, 852824293, 695624653, 168523408, 981981587, 273621738, 321785068, 13396674, 486619548, 726278887, 658888949, 77384103, 398311868, 862279659, 398338805, 181194133, 239887304, 4792156, 265611561, 991460231, 435369419, 190770363, 800478892, 345352419, 148590713, 724659336, 916068606, 470801075, 751493277, 765157962, 902829094, 810655676, 440610100, 1052504361, 1044399514, 201720145, 953998333, 920488803, 232660910, 868286062, 795534729, 306133094, 445964465, 1022904640, 249495767, 354003289, 1011646813, 1029510031, 280301528, 1006372266, 1015897741, 579639197, 889632104, 894179896, 259143784, 571139424, 514143685, 687147965, 797319856, 400777667, 871652024, 188459052, 624790673, 161631391, 572387910, 496022014, 64613566, 166251974, 942388154, 55334346, 23009420, 802721322, 605871290, 121392205, 1031820034, 17395333, 569697879, 130004580, 72894373, 995642441, 73795978, 338651227, 779637505, 808226787, 987246598, 497892404, 571489469, 1036443125, 445100892, 211708132, 357867196, 155384103, 792350104, 283737846, 312419704, 996069641, 306413461, 751392164, 854345332, 678334917, 444704595, 340531629, 487087030, 132202174, 299227832, 531923126, 54805669, 402338440, 688923603, 271516128, 655999602, 825712945, 777192512, 321075842, 68572233, 650660328, 732705814, 468796597, 402953321, 789074417, 288407213, 707646914, 678407989, 677767625, 852238193, 133737186, 135847851, 464597267, 291241556, 407227086, 871786510, 1064808054, 915583243, 11791223, 544099033, 487379866, 720042334, 850901503, 2361702, 472452639, 201838348, 895645615, 424003396, 112313999, 60450224, 1061799629, 372259428, 566804430, 334838123, 138655569, 1064272384, 574220653, 194119970, 156103589, 68696077, 918804862, 265109820, 381201402, 757478333, 1070280776, 30656107, 330002132, 765144708, 138477614, 64723956, 1009995941, 568552964, 884747253, 365708614, 839443275, 472700873, 142008797, 550834125, 407345182, 974771219, 1004803549, 431823294, 133822778, 418170980, 466461438, 85989086, 595324848, 615131315, 464866000, 839058139, 614400946, 513000739, 95328043, 63244400, 1013438798, 44279777, 567545672, 184838044, 312767870, 622349040, 672113162, 574144309, 199925336, 627007101, 153018515, 101474661, 70576441, 979924857, 844685979, 152503671, 809795239, 968138768, 277653991, 412744814, 518568874, 263393663, 190660559, 533372642, 212129857, 974100510, 1017065095, 101126098, 664469640, 61404122, 664342125, 313554808, 459667759, 706097010, 766716241, 713320483, 145469593, 841176228, 473006897, 553594962, 764665079, 513598124, 169971577, 889665494, 52513649, 319480826, 436800843, 1013941172, 84923023, 378870792, 471705768, 1068494314, 775209023, 175971471, 391856407, 994338152, 1068156571, 536072376, 956459595, 536364631, 38172604, 111439578, 172405661, 422596135, 3380275, 1024513406, 580068151, 162727584, 817739889, 862079765, 156366026, 845468049, 979432327, 441393818, 217798708, 755352247, 228588937, 346928675, 230583797, 620833769, 504111103, 819390454, 1025963188, 139499765, 408531987, 261630540, 566357725, 470688720, 502148205, 967023849, 311062835, 566032600, 315950985, 87243668, 139003652, 698872632, 520969902, 684565431, 238124919, 449124104, 143572713, 341186533, 808308106, 822160671, 167717529, 593070335, 792827540, 265934072, 393386673, 127582869, 678113827, 492498664, 317075087, 122388374, 626198897, 359390107, 482724544, 965991874, 322865347, 947954712, 552386118, 380504066, 534410397, 750769614, 38085452, 452187416, 379276884, 20525419, 223112780, 968082022, 363707304, 452716730, 1020533309, 318508535, 279519395, 226413591, 427862720, 988609498, 435475856, 358653123, 510874592, 884022001, 177719554, 986862706, 930232321, 627699807, 476643224, 112566207, 789923351, 343146165, 416579892, 520896053, 673462522, 924880826, 1013437096, 561626869, 986099816, 96034638, 255357909, 232289675, 395268062, 839413157, 141565027, 287741883, 555552035, 216412167, 439587177, 183541771, 570906573, 663725243, 35525382, 887038039, 703155799, 348419673, 842215877, 89698232, 399305813, 767971733, 9676167, 220095092, 371099856, 258505765, 520234975, 773634962, 592585437, 740959960, 377008814, 945387935, 1041058194, 487516083, 625140029, 905742944, 825013167, 23748791, 452258415, 196420223, 321732648, 101091936, 1046910691, 213245974, 594418974, 987900500, 23289568, 242235746, 695303422, 717654428, 89871627, 199827639, 351685518, 188118500, 222800435, 798539967, 661032178, 760946347, 374731182, 19387373, 340204983, 242660622, 979264174, 935630638, 360971727, 1065679450, 442926670, 308249351, 945905564, 558137478, 678778593, 684852591, 580871757, 647492116, 129086787, 569970211, 523629644, 1014513392, 617852517, 829736538, 29052063, 450541580, 475112277, 135861293, 973206461, 939812294, 468321729, 205256026, 1054512318, 981636051, 21488617, 327756018, 663809972, 475701633, 191529406, 430359567, 308815808, 990892960, 185814695, 672226786, 741086691, 437686016, 70677905, 928387486, 969061945, 808116370, 463284593, 290098774, 1059505501, 446999323, 552007883, 700314493, 608251808, 649123971, 495867111, 1009260996, 565534895, 663529010, 855000509, 301270823, 58967027, 340030250, 354750626, 795384538, 1050984176, 605420442, 577576098, 511629356, 472796269, 71642656, 163869342, 661758543, 362312054, 903778622, 1045852110, 1017551541, 366442451, 667479046, 1048159935, 487364941, 284152179, 865832975, 361037603, 785554690, 972216852, 826315561, 938574567, 655373876, 793342422, 424745882, 178569010, 314722701, 889957617, 451341676, 385212511, 69666198, 1019282285, 992657500, 794605086, 452844425, 599681189, 755453495, 337377778, 473899621, 236702845, 27690085, 72390979, 235171427, 698751030, 597906768, 363814915, 278467921, 490417066, 650994674, 160949423, 926670060, 668735751, 1035879372, 738630104, 768792080, 462524695, 447970322, 1021759779, 1040824753, 45899616, 698533569, 307614493, 111586033, 50829599, 437949451, 378448752, 314872223, 253583146, 368758070, 431922085, 473867505, 774915210, 500928667, 745281840, 726408239, 505841035, 571602036, 265181590, 541963811, 1006837677, 235400726, 993760378, 655771522, 669580992, 408969547, 586095490, 217384140, 756538959, 103588143, 955346892, 1058337942, 658347760, 390442223, 469191736, 1021493399, 10737530, 165107231, 136850863, 794613577, 1049616098, 243619071, 840417732, 696390584, 584001397, 292805751, 437017650, 441301102, 556072528, 533941054, 280830884, 144174038, 1034973483, 79006352, 454668665, 235039720, 1051470001, 924453840, 814420120, 177074559, 1037065447, 438301391, 728113472, 898948061, 144875940, 570693544, 226772073, 891722044, 830727261, 272094819, 837450905, 1033735741, 879429107, 396136912, 338611938, 691500512, 413489835, 2992974, 105173914, 111354712, 1054146716, 765270764, 960991993, 150277575, 277566762, 504679795, 133363765, 449136394, 971531990, 122508859, 84404763, 680267791, 220564414, 577762087, 292473871, 847743404, 648789923, 280775236, 196471276, 208137380, 573454770, 887599291, 711103697, 247761472, 249928890, 556704045, 875701127, 571545683, 282305410, 369118779, 756233352, 822496886, 206883852, 907857678, 956873364, 408455011, 369204516, 511207271, 242942896, 840653927, 399897458, 44430993, 675992283, 649923793, 488026267, 240910785, 726802226, 550479160, 809150606, 1071943929, 796244247, 684064843, 521770484, 773123020, 716512683, 35638469, 112355172, 774382013, 374388545, 465443288, 296557163, 990217689, 984576004, 20245942, 534414671, 780623515, 140212820, 859935425, 631747678, 886552380, 548779967, 727716342, 7574380, 345137246, 846978812, 327785206, 926123707, 311714869, 538185225, 764496088, 886893743, 121419000, 984365520, 723023397, 56921502, 723873569, 196939195, 110811241, 316207713, 288838548, 149232127, 331570595, 1364710, 203799628, 23268667, 258304456, 718054942, 434363414, 390147712, 125205991, 114129119, 184669338, 1046571336, 748910508, 823177989, 462329766, 305881154, 252312438, 106721007, 922355632, 1058617150, 1042338750, 1018381631, 815089977, 857836018, 961983433, 829011297, 154088631, 356117165, 617340779, 677512163, 270014690, 1062601305, 229230115, 223404512, 857979613, 1026982418, 741860341, 841288978, 931491431, 694205462, 1033706625, 863994225, 559065147, 421839337, 324069848, 383964313, 415899350, 112099877, 51164887, 415227416, 1072134413, 505515825, 268528281, 1040302692, 866213788, 59004692, 964930889, 298888588, 976272022, 797873752, 274080850, 901325667, 479210998, 231903762, 719674403, 902954574, 507182923, 495788345, 857148275, 477488823, 579902421, 762054915, 36436885, 972769620, 299785648, 1012551058, 482735146, 369766759, 906454060, 362547432, 868388572, 981234437, 399312188, 331724171, 57592251, 817489616, 475913836, 35340773, 994322287, 325788606, 308066686, 25548448, 572477746, 443399707, 960320672, 109088812, 232743752, 695971622, 249036619, 914357847, 582346770, 151689957, 971720956, 659822859, 405824382, 216046385, 80798437, 355777521, 765686526, 598054389, 1490026, 758257224, 706309137, 914146533, 388821928, 495816924, 899110318, 950726814, 681633663, 793080536, 517440301, 70166526, 791576393, 516111406, 46890373, 282144245, 533619806, 485011156, 485429588, 334905770, 871460012, 22799299, 59953809, 960832874, 184090975, 261093373, 850085411, 73427203, 764649147, 68369329, 694745674, 446164723, 39960506, 88574168, 817393951, 634222781, 978888228, 959901110, 71325769, 672783245, 847121106, 807105969, 319697304, 890038180, 93062327, 522610871, 101350018, 28501326, 294800161, 528118674, 610979532, 410587316, 598215512, 1016668818, 758381977, 233626331, 111750813, 545999325, 994024160, 623827902, 803656104, 796601794, 286771879, 306046953, 415012909, 345244310, 174910833, 1065625016, 136515635, 1068072872, 842584356, 250631943, 145672048, 104101176, 815328491, 369551750, 876466971, 364128199, 121880983, 560091232, 314385382, 962627530, 291510412, 86530553, 409305106, 335258917, 929158680, 811729325, 1025649087, 234204526, 15625306, 662629556, 232145323, 312721378, 837216799, 486273793, 123679947, 462801561, 383639841, 270606311, 698424644, 371872208, 320888515, 78577212, 197596618, 271395658, 460898044, 161119912, 827242957, 525144253, 103077034, 966379798, 802324530, 219700799, 822822090, 691805674, 452837234, 129660553, 412555227, 64817751, 796878294, 232682299, 408243536, 52652073, 221269433, 752460500, 128065431, 151436745, 661296227, 707462332, 513477407, 828235068, 902260375, 323193178, 519000123, 259807051, 668059699, 674998692, 36938526, 169440325, 364708575, 645135548, 382438734, 1017253505, 298457804, 206152141, 410110639, 699423047, 807394716, 721302332, 301864396, 884586671, 714672607, 226940735, 183811703, 422622896, 353378525, 956009538, 716614356, 23642654, 332928422, 330410259, 1789620, 752596619, 123041723, 889094677, 408820757, 1041203269, 805137029, 878881500, 155468316, 40579267, 364249681, 74643773, 2494598, 20976148, 897648895, 8356899, 481867465, 917717529, 565745188, 919711179, 412676364, 1028461806, 1000111241, 467151762, 483227148, 145568891, 600765025, 65738008, 520040021, 122928786, 622632560, 492837280, 979084726, 278724650, 158186847, 933008769, 570085347, 426066727, 27672449, 862367884, 29636704, 384173995, 130707359, 914793661, 93917937, 774037875, 249444193, 1055340003, 5130256, 820201504, 505385072, 925228380, 954456549, 336724271, 486876978, 1028587187, 555832305, 647335604, 341715221, 408461067, 536915982, 516623393, 60389605, 490627003, 446531374, 610230414, 100128193, 869163244, 153417891, 501847724, 235841291, 347068712, 252162063, 706725777, 341908316, 876484546, 308916947, 3132946, 70383736, 531082627, 398844196, 880967577, 855768776, 804306707, 271958181, 1063986549, 879614834, 886283552, 133614836, 671221161, 748589990, 632487881, 17374939, 13053888, 306629349, 1054600077, 468644116, 572469943, 1005326096, 283266230, 484364189, 959178339, 790664334, 852110411, 1028122916, 642230173, 693055183, 810696387, 493933322, 290537960, 788584648, 694848897, 837630696, 165229523, 64056052, 296617494, 844126078, 1049068779, 423352599, 95360354, 945147180, 691336645, 354402499, 605329781, 412322117, 268879078, 568874620, 23291662, 83519774, 324062934, 605060115, 870755101, 28265132, 480322920, 712584746, 551833387, 455427217, 66128861, 145603872, 1071066905, 893136285, 834911889, 406125394, 568852220, 196532302, 540332180, 688878948, 800576211, 464927001, 5318870, 88661083, 62460090, 35538099, 268989513, 853580270, 1072189446, 55611, 492487564, 64938807, 463709538, 628233743, 1018536339, 578363832, 48464999, 1021222210, 511028171, 403571459, 122466601, 77369221, 538329959, 994166807, 483908191, 399794828, 941036877, 802111505, 866952381, 616115469, 406548187, 895127235, 636435653, 774791438, 306050946, 744125412, 18735890, 119845731, 901484064, 472247259, 531576587, 755565553, 981962965, 409068045, 740699065, 953670, 959134849, 78971399, 1011992795, 371036278, 894976187, 996820936, 1025786385, 753632160, 872442612, 857334835, 53559986, 489294516, 461595787, 42025118, 949952837, 664554992, 22112080, 366412808, 491530475, 770336211, 175219508, 35372670, 547590760, 794657586, 397403009, 174794708, 922605911, 447757794, 1065625221, 191670039, 932716426, 687608900, 102122232, 362266360, 602408024, 943974449, 740601419, 727873882, 457109981, 109075200, 1024352220, 575260496, 226296676, 632597155, 119060776, 167532740, 1044691589, 496111013, 303327526, 1069986185, 1064266320, 240512351, 465746094, 1046609132, 488275622, 1003179272, 761045645, 324120591, 1002068707, 688632310, 38742229, 457940281, 291243533, 132069937, 270564278, 346997712, 20864173, 472604421, 649643082, 702603935, 491741405, 270552611, 186904466, 502878887, 665333791, 587474283, 492650457, 526102802, 172482580, 1002789393, 467338411, 398548282, 1049757515, 26775628, 1000127881, 716375222, 1008452764, 34389490, 33022192, 935845003, 680111047, 519764718, 446626279, 184318813, 130000948, 569069235, 834042678, 313982937, 512951692, 385008522, 272437092, 915665003, 1011643876, 498966370, 588116242, 530860783, 782739136, 2647744, 265903645, 939396743, 338753210, 975099928, 827289128, 954225313, 910826514, 305390149, 837380238, 252592313, 249558771, 663838259, 876855613, 867296492, 410301672, 850801222, 906599467, 824233442, 82486767, 324824765, 511624891, 351534188, 919497215, 732079700, 47870417, 745871780, 1062089959, 231032597, 823552733, 900024231, 317892782, 383264043, 914896078, 1027179523, 320437492, 89059919, 714687722, 5537696, 71666248, 981109899, 264100773, 982392467, 120283981, 533876758, 1011795955, 1037990366, 522206425, 178630341, 684592862, 18923064, 626031208, 739430685, 775133841, 247673187, 60551668, 979432211, 142468217, 1023913049, 569190392, 46260925, 605979919, 685144691, 1057441427, 594578382, 1050973933, 419928414, 195696352, 32021071, 264382316, 944792239, 1058245020, 843384229, 781289085, 832004915, 596821030, 333431971, 864871495, 923125303, 810249132, 820852279, 763098046, 548950779, 558797975, 256665702, 50148610, 672673798, 596533207, 85367229, 239897000, 860043824, 859446259, 916995860, 141948158, 129781775, 190700629, 578947434, 108902631, 602966503, 133758266, 436898622, 477173524, 487269690, 508821157, 302364271, 207375960, 180305555, 165384368, 216923344, 789724138, 568026150, 998538103, 874872952, 284243291, 744337076, 564775703, 340787044, 764666135, 572312148, 785535966, 78783917, 727674909, 377057273, 344468633, 238376099, 972144418, 640654600, 310356245, 255714354, 625246577, 851150145, 792580238, 996029979, 648224424, 794132997, 385574574, 638094439, 903443172, 1051851558, 45751819, 548032788, 695384573, 668234482, 543142855, 534557835, 571479216, 1049946026, 971696228, 141693268, 776571732, 339669940, 173819607, 930785430, 639715342, 341158210, 605020097, 984892631, 992966844, 731939091, 934928338, 590315758, 551916608, 1000991498, 896644777, 293247884, 1069763112, 476813537, 804692485, 974737589, 499809381, 979018678, 363503781, 455566225, 995707682, 768257172, 738157044, 594784176, 705842359, 601508935, 581700319, 542721782, 791467806, 625008622, 185241858, 494990461, 957013435, 771463250, 439121422, 450340935, 506935741, 553252823, 541405354, 89428466, 719487647, 95164382, 169777905, 563535967, 132709020, 336673393, 731530136, 715010816, 968632735, 637010526, 193806099, 743999108, 438683262, 1068149696, 322315064, 29910321, 420828352, 512244362, 959697724, 676428195, 984832213, 5895105, 598923622, 36138528, 433275880, 992460025, 513059505, 116669052, 157777685, 328511132, 594962923, 59251587, 404127373, 584650312, 181254235, 43950260, 234079529, 212419599, 369346730, 487550959, 429465133, 58113773, 343705182, 622421886, 357861617, 989001642, 764118850, 999392930, 901266092, 795827820, 313406027, 199949622, 949263337, 338573923, 878328045, 540791917, 1014656339, 217846868, 220685450, 244760333, 563092006, 611194064, 452763761, 989354990, 66635488, 941494079, 863614507, 311965213, 554314172, 655721148, 1071568247, 470248658, 895560763, 87177713, 939332578, 859010740, 460924756, 575492943, 422844066, 511485241, 77713665, 314228172, 733866342, 409570820, 371337119, 315292319, 839484869, 169452472, 340812473, 765059444, 532433632, 137188556, 747359509, 612556123, 46375461, 523120222, 1064157770, 480128124, 189438817, 499784862, 622751274, 68167058, 543188558, 472125610, 210365724, 282953029, 669506470, 409947162, 489288834, 209388993, 937793433, 289540497, 1050834708, 1060229158, 674235681, 69677820, 907175507, 29109370, 999526308, 725855929, 255256737, 159169203, 68951948, 723883831, 1009687989, 422969736, 101459349, 800886008, 840244095, 521609707, 496801315, 852285879, 574134784, 86241573, 841059264, 301659935, 352482297, 1064913674, 912779512, 820806900, 224541395, 302283943, 14026567, 84933393, 1050207586, 786517399, 33774219, 449131810, 382321060, 73164495, 935376944, 766130988, 147285761, 177471502, 87370643, 376808795, 913450013, 907284091, 795787910, 452916115, 262309665, 37044076, 889223879, 700088814, 687272929, 484073715, 676247439, 136583587, 360058328, 737255418, 2635436, 397839524, 119543758, 765742590, 773967159, 600489156, 112966947, 452334377, 428314852, 741796157, 302921011, 710385647, 1008264321, 995946935, 906641882, 758819845, 454837639, 721303825, 160980600, 882845852, 1018722769, 573868275, 696063964, 24120829, 80894013, 743339300, 1053020696, 971741929, 602027867, 894490258, 65894722, 783222811, 1063385989, 280741839, 4862161, 144838913, 545555083, 762570709, 184041419, 658795203, 245222628, 224970708, 587344338, 497296732, 526302283, 788030563, 763452032, 313147705, 944070680, 519807744, 109157152, 315782612, 504242990, 793110075, 173347453, 687059448, 214201454, 210628283, 775796072, 731651983, 949661882, 1036917773, 448699216, 149145972, 463712741, 668955841, 343681756, 526533997, 807151529, 913146512, 413990291, 429186970, 401351640, 299139859, 1053284153, 721122400, 605070485, 371948600, 20966180, 38636022, 885048711, 1003876738, 119975640, 260013972, 754000180, 657527934, 1044309502, 67108153, 20991852, 405816149, 706377420, 171928381, 976871623, 270263723, 659698087, 323003362, 462955224, 1037741320, 836825009, 737930986, 635151164, 258575373, 696610709, 660651835, 862485232, 325045041, 1018745059, 344025919, 739758161, 709328505, 615263414, 825866962, 848754220, 810918428, 320974776, 422438688, 441245849, 372746150, 648816810, 975410823, 1015977459, 950311991, 824733684, 168810324, 314563950, 102176535, 97892878, 672247720, 962077722, 928245489, 103190361, 1042637204, 894978090, 989090807, 283829434, 217915313, 288540818, 662297132, 236248956, 130389705, 275046202, 207563179, 336658215, 347461873, 1008086294, 283416124, 568299963, 809429867, 111126849, 982113719, 604500909, 785308802, 885970436, 323382091, 61852406, 715437676, 117235711, 234405892, 569548613, 548455768, 113863305, 665702329, 305284755, 46118167, 485962521, 795189099, 518570491, 800835821, 420301497, 254357577, 408858778, 490171814, 370944343, 943810583, 723585097, 710462810, 276202681, 938135349, 345076250, 384663376, 183139165, 973915761, 878317381, 815479307, 695977751, 445026354, 871043172, 282146645, 575594112, 213133943, 335063846, 902350030, 639159088, 700436089, 302731291, 813516767, 775353350, 567472660, 202401821, 53006645, 708286514, 77337376, 1060819994, 284989075, 165724268, 630091307, 1016467161, 491120105, 652589921, 26895326, 354529977, 574189259, 855208813, 1050589521, 272510399, 710332697, 634956703, 607038652, 130571245, 141273564, 605442639, 806632455, 105358268, 72607737, 519609160, 160337639, 954412381, 131171519, 1804252, 884737889, 748332697, 39981494, 411550156, 436426156, 676572778, 539649295, 896511085, 240712155, 474893727, 798657250, 996217967, 988624756, 1058032241, 260069709, 777664077, 604820570, 226959538, 502662688, 892834017, 389796176, 31335451, 717815877, 55367964, 737188727, 415880805, 1043181229, 1014750974, 1032331926, 539154594, 1006699168, 359052224, 385691933, 868392099, 612922117, 272667761, 5758610, 582576324, 560715386, 1002574546, 809946972, 519863725, 771186171, 74628875, 1072603896, 555043849, 287426806, 464730342, 239878783, 912233970, 65903991, 1021366226, 766341155, 554475054, 712121920, 571275320, 663055213, 967866936, 36683846, 387654129, 532249988, 285108169, 403165564, 10489607, 904083015, 1057301317, 223155392, 226092837, 823887139, 1024763113, 510591429, 304364495, 563764544, 1040013816, 131705955, 550622679, 352271134, 919297196, 407312954, 1027057715, 1068351116, 665087668, 441135684, 588695550, 11092773, 267708626, 480025806, 409787697, 1047130338, 23976402, 537025459, 738013121, 171123524, 914888449, 802747295, 885001160, 1020150310, 466287099, 934741591, 957316034, 312820673, 723412488, 222396793, 502475414, 439820187, 288314795, 350008227, 501910165, 649511940, 724119470, 240682730, 123110522, 199830198, 978904374, 658079974, 907108074, 591819598, 672531232, 1014943662, 381588481, 985266655, 529343426, 475621794, 717979596, 1014737518, 514949775, 299254392, 220562082, 1072582710, 1065083101, 288885047, 135084911, 414066811, 415494769, 810638203, 1018871568, 928757046, 538466065, 693931723, 566031859, 910137880, 458683911, 860023277, 792543715, 821779726, 572931313, 755345254, 918962397, 735355441, 591941021, 770419060, 16374236, 631005333, 696116172, 708983122, 935426033, 948158317, 150616783, 262886439, 45097025, 1049474306, 830392627, 368819645, 86946465, 609806058, 640645851, 937101311, 187800479, 1025796411, 48379106, 458579222, 669295332, 1053506940, 769178941, 211484835, 496027825, 868939314, 519265556, 729507350, 568375495, 538909003, 463340598, 394038888, 396613093, 641087910, 573442690, 832655044, 802846557, 255192881, 906862308, 184102711, 664309152, 22162923, 302105083, 124446087, 576569290, 267955449, 267289561, 891329490, 428129800, 59194801, 397666441, 379625035, 379972713, 773089490, 142762541, 58306249, 585988911, 418089535, 330049513, 764404753, 770741885, 173734485, 285135358, 758133706, 695391531, 1832479, 624792291, 1044042560, 1006014009, 158756528, 372020539, 522333429, 814608402, 142809586, 342663455, 704111160, 365223825, 1032640052, 777221465, 1034768334, 751917506, 546445313, 736875965, 583459773, 833780133, 441033882, 517075106, 1045664849, 268258112, 839320947, 447650223, 628480665, 305378516, 150544672, 97190843, 177622205, 665741095, 798163617, 156263806, 952391269, 563092862, 936494024, 15589073, 230248020, 713989177, 155357084, 127299031, 1026711043, 840344736, 618546058, 247335657, 479636126, 756226, 1023624410, 432186439, 983382907, 1027680632, 1038938157, 617258656, 845985600, 597562424, 746483224, 871652307, 218787793, 27268449, 119253279, 840969322, 356726993, 31598852, 300501129, 267486033, 976912028, 527108061, 652413486, 1035627736, 839729932, 554713824, 4181062, 24654493, 97654833, 826799112, 571310292, 976234743, 1048583674, 103364584, 895264949, 828172274, 485291550, 1007754939, 378399575, 592790074, 296727728, 705590606, 611598370, 233993323, 664467878, 341727877, 1008212654, 532561458, 556370930, 239790696, 1022895724, 133571344, 60209907, 1001771928, 46596793, 583230331, 375810946, 431425019, 177332957, 987450149, 42980986, 250213311, 101112827, 206329500, 261548521, 392823493, 872449801, 822237630, 934536788, 366332159, 78033402, 883603398, 136573517, 203812627, 837239170, 394619645, 726662047, 202698388, 565020361, 801603818, 42689743, 49248710, 128844668, 837757770, 575706382, 292031323, 945417294, 519644690, 452231404, 519659499, 67084733, 632065886, 442048359, 241826639, 1030476208, 567336197, 466504314, 1020931493, 439621953, 831643386, 395799782, 724595336, 607112393, 1038740244, 224974211, 411084695, 512252945, 1033420304, 727119469, 773125538, 346754479, 437697512, 367427923, 756088007, 346813370, 507600494, 239797199, 566558944, 521620184, 368278352, 938969680, 239316341, 842878483, 639995096, 777880378, 513436661, 618592206, 145054926, 146175997, 981744875, 572826736, 370386714, 740474588, 945982530, 440660386, 361791470, 780558885, 147313972, 672823097, 684375624, 649668, 577621069, 621736501, 772746170, 376474778, 664498828, 440288833, 334814672, 6529534, 17303269, 734591553, 859452470, 294421153, 255395253, 467903108, 509214856, 619654460, 826187713, 63385752, 493857912, 1062604445, 257886413, 20375208, 383858587, 933299853, 455054399, 436325475, 681796407, 589378880, 142886530, 98241065, 231225851, 92241762, 960053101, 71147822, 451423475, 153392659, 308130519, 1045739793, 673526090, 989791424, 800983515, 191869332, 934965840, 717356540, 504515754, 156949026, 748861693, 641823355, 282334121, 193174245, 563594024, 235746498, 157208928, 166146388, 335448284, 1035406389, 633833171, 901133380, 958814849, 260877988, 348627705, 961360195, 36993248, 295751634, 169833753, 321827353, 799118020, 129183101, 1057810273, 92375759, 600588778, 1002203364, 161062107, 206381321, 558530570, 727124158, 81558773, 342714075, 708709143, 701263952, 1038056584, 561766359, 864335311, 449791774, 393359407, 286591290, 1056887984, 1050552170, 1003769042, 304612739, 811531363, 472151229, 778417761, 638082947, 26313868, 339693197, 935792364, 536062302, 687725612, 100297311, 981810915, 404382989, 729633329, 982245293, 75343718, 521425096, 955407878, 755092448, 40961159, 528254597, 1007401894, 372750771, 970205566, 193755003, 954943222, 652091365, 171077071, 303926331, 881368429, 646176297, 441989618, 862016969, 357580707, 387911186, 1031185098, 834321146, 970295239, 9892511, 370573653, 900460963, 152949609, 797906941, 949175140, 30656448, 788974430, 406145904, 944985254, 429104717, 309687123, 42191612, 29801412, 588585151, 550493845, 245125311, 530083512, 1064390176, 530534816, 1022489925, 1021780875, 424200347, 777480047, 992881638, 1039017794, 503438624, 565513702, 595610557, 588635943, 859001662, 115125359, 717410864, 818149788, 1046226345, 33416172, 935443951, 257117644, 936893289, 839493104, 815326807, 429979185, 264688652, 123286378, 1007029629, 1052795087, 257820305, 966933496, 36917174, 988258161, 740844550, 163374102, 676170372, 874126111, 783145141, 167433733, 648249273, 119171400, 362284684, 373015897, 62417637, 405652964, 197891829, 670046007, 861085525, 1010208173, 193838261, 1022221595, 496468540, 35158211, 1055609147, 938377507, 882126849, 819494302, 667209338, 172422736, 140454453, 67347787, 547438117, 221997990, 544819377, 271074238, 179397086, 842979269, 272476581, 952508873, 271365295, 971836138, 707896162, 815450677, 214858246, 701604185, 54893563, 925156288, 704552311, 635439607, 778099561, 296596229, 20897473, 646624373, 341804168, 161069517, 25493678, 475745029, 721016666, 358520002, 126133584, 22788329, 576793543, 466000869, 1072470307, 945680698, 822286426, 590485737, 907812136, 366984867, 870145759, 1072079287, 848268623, 3594371, 509491802, 593985456, 605966143, 223305555, 848758759, 258710435, 694045703, 572511854, 756351041, 1045618697, 233445209, 459479643, 367194132, 18331317, 535657967, 454982151, 113335230, 769298142, 629599277, 472565473, 351790062, 176945064, 1050790531, 679600018, 1036241902, 1005739603, 1004269862, 141587805, 425152670, 69511960, 1049429395, 881404217, 143676958, 300616247, 759928426, 215425350, 628512113, 720557042, 222058674, 516184853, 119635353, 633512367, 82953565, 992416703, 917868687, 564614774, 735120088, 437061182, 1025300835, 398800896, 521397579, 1069560419, 388171129, 801577737, 46231208, 561837370, 53385569, 721630071, 985124439, 967939183, 484898086, 91506573, 323363404, 964112812, 892188781, 477496120, 1034537807, 834913770, 197513521, 620427150, 113089473, 256301236, 1007937362, 126294396, 393930539, 744208431, 970449640, 39980374, 663420642, 102552774, 381453925, 364893601, 594897441, 817691778, 282044594, 980533491, 429808549, 368062525, 204842887, 270554482, 786274065, 170377218, 242250507, 166843498, 450256168, 702254113, 79564177, 656583427, 249450226, 216798331, 251867954, 524983399, 526806876, 326084812, 966118898, 844823874, 941102921, 414187656, 177326331, 169785762, 474972224, 245655782, 32157641, 289584577, 817217541, 764860565, 720678701, 651210208, 501718485, 666695204, 469034174, 727188820, 504661296, 237912866, 922307585, 149196285, 601742853, 498907137, 350695312, 754815300, 747963435, 706972876, 290274657, 93041181, 521339882, 48979558, 185674527, 178756698, 778183931, 546338015, 34486887, 472279230, 522709386, 759376034, 315624372, 183079047, 835641728, 100377733, 151853356, 755980702, 342574603, 582115028, 679827520, 731671619, 136383138, 852917044, 542267036, 912245678, 479447790, 200360258, 1009574127, 799846081, 973645404, 1015165911, 486601916, 944447236, 217008077, 836285789, 869154636, 584135049, 195377146, 1018789020, 253401283, 784378174, 903079080, 79229755, 775341512, 308630946, 181291842, 723194408, 519317381, 1006454179, 151860663, 765790860, 698451145, 994960748, 663984242, 882614113, 1052718989, 151583332, 821823295, 843299267, 310050027, 834084164, 313033943, 656572588, 127059770, 953846085, 1027031827, 878366448, 1032223496, 703245877, 51227079, 745414932, 354822761, 959420863, 909315893, 842812728, 669285989, 900073243, 982448126, 139081568, 192950629, 433233004, 654201196, 992635751, 795234115, 116640884, 760119918, 443197999, 832857361, 881141328, 203090574, 831669136, 347927809, 657883157, 586501093, 238308876, 365065488, 949486621, 871963368, 577664710, 1005146791, 59494224, 349030145, 693797107, 470498830, 42640747, 266189638, 1020770465, 547228636, 546872658, 627202525, 740062461, 261663497, 351026095, 155497564, 1068759577, 354733725, 495678522, 589741499, 175527706, 906080488, 124680636, 153950475, 520953662, 151347717, 631647231, 939391083, 506737692, 940068222, 471678048, 161055893, 368438751, 158808580, 389089350, 977623280, 588366841, 933986950, 303214435, 781030991, 76714666, 623190984, 406111679, 462619383, 438149615, 463587388, 492237804, 620367095, 726866928, 785766754, 943869684, 12712453, 55618204, 882743926, 709297068, 402840293, 849257590, 544676398, 128013021, 496982135, 211509440, 129698740, 363691230, 729777031, 461743010, 157418005, 76735869, 156752251, 317098156, 434802212, 591798124, 463666503, 128053022, 804555190, 347429512, 536523582, 815212287, 390876522, 815651620, 527474410, 1050360973, 876850515, 875044018, 1007201294, 485808471, 427595901, 905316867, 1018714840, 66181911, 344919628, 369872454, 506694755, 448916209, 972202893, 896026924, 381175391, 176780314, 430577967, 589925298, 12417929, 172293841, 1053696735, 376161339, 108451540, 852962185, 467722169, 1066282812, 737225759, 75999366, 110073943, 649065442, 289147335, 275745614, 58625779, 732028101, 909333236, 1069322024, 907570454, 590431189, 598193230, 235629313, 509275695, 487681899, 371325511, 923942265, 748523051, 1010543592, 189383649, 81586800, 350731002, 300545690, 928040197, 649058173, 846001271, 248918313, 542740266, 71496987, 266084977, 862586625, 201364287, 210340360, 857587453, 160907263, 987262004, 451493545, 1007481136, 938245324, 806744378, 965852686, 453659581, 967083135, 1016434334, 897504343, 406162067, 644145117, 224964881, 43935908, 755202033, 647788101, 966027173, 216428915, 94637244, 630929886, 640423265, 93731140, 1012767064, 243137177, 633438744, 389953002, 14922193, 17941498, 57407150, 724465319, 409982105, 1019934753, 901892792, 174662873, 142662821, 611880162, 600101657, 879141168, 364763981, 141436673, 1053172015, 142425767, 688751346, 577064860, 753648063, 134222468, 992779290, 957582215, 180353061, 230972973, 424913525, 369342163, 534923822, 685189029, 930875357, 447822550, 537877366, 219165988, 250748125, 417480563, 280731548, 512749385, 151770203, 646020064, 847856670, 471607684, 539238605, 872743360, 119006715, 72540559, 602940741, 1053443356, 673127734, 282880344, 769739345, 324597471, 464755693, 671272426, 223658372, 68827173, 266762760, 881131238, 538099487, 561529015, 967665030, 807844867, 118793576, 297058205, 831692297, 312697976, 658944805, 242508925, 898771556, 791308242, 931217074, 629959296, 722075173, 128218721, 854295901, 377759743, 380979857, 891882913, 313773152, 46131205, 199583869, 410069340, 906479189, 46163851, 933962007, 525513333, 587300283, 886121105, 517582960, 763789503, 728263738, 1017369076, 471547292, 725704045, 719744134, 838875198, 1011984739, 216827997, 294676682, 652879743, 821966907, 601147772, 55318257, 749083410, 908287447, 448634289, 86599018, 1026093456, 465280070, 245978316, 900724581, 306120048, 124704964, 135334154, 384829478, 436345633, 312030576, 624551098, 330452417, 457988520, 88855688, 210772562, 184936781, 573633027, 306475284, 825658456, 361149738, 639935772, 993720215, 281575941, 1030551300, 611460839, 983068103, 1069203564, 876673841, 723814417, 535160846, 642143710, 689016201, 585256800, 936631596, 1062491972, 949694163, 552212330, 15466551, 592949729, 652179657, 622140032, 673633881, 531202052, 350553335, 504152021, 723983992, 103700470, 90890308, 908103095, 402007657, 100264477, 369699045, 745700614, 888113442, 897023949, 788517814, 864820496, 630914997, 1034366846, 42600369, 842799411, 160399432, 153768959, 414549863, 477125081, 73964639, 298731446, 1032251157, 962848219, 906672293, 950176269, 455015689, 1072020716, 506360408, 405592234, 598084270, 110942930, 565046011, 40977995, 27252296, 733795411, 517083235, 364904752, 279267907, 372511222, 759005903, 382887973, 379329449, 75955718, 123118212, 147812897, 174347403, 716128427, 380644527, 555620646, 513752361, 1030071781, 907638399, 837787921, 424922278, 1031909301, 298517525, 655030906, 101168619, 428707048, 689538221, 309906329, 558597254, 714035569, 1054163532, 996208717, 33656959, 930251432, 379705933, 255258625, 1039860028, 925368546, 890231943, 125870119, 682944725, 671823856, 402451951, 288422562, 112660765, 698967115, 356216265, 800295142, 951239947, 263449039, 41178452, 1025455943, 831691539, 1006856847, 477400005, 304895026, 733581937, 102303176, 113776073, 26449099, 716469150, 803023100, 965146221, 753595884, 19281388, 103648654, 837033403, 347369991, 655934984, 938585753, 83078533, 75706508, 775084740, 699955727, 201604503, 739948517, 917688270, 388489927, 726072449, 546244930, 619854164, 268344247, 510032638, 677599735, 413588282, 254654349, 619583964, 581103845, 349265948, 419519366, 560436036, 624312897, 303316317, 809485205, 1007415377, 121898736, 14039245, 21093319, 176764664, 250760997, 776876049, 173179574, 134125357, 81658875, 83863919, 118114802, 1016708458, 201932216, 466841118, 586774111, 218097621, 266324312, 684593517, 693347254, 171442677, 699293351, 347815381, 444583210, 769407049, 351500599, 537079992, 338586984, 355814356, 392432807, 1066489992, 454154712, 990156765, 224310140, 185132891, 384530285, 637788389, 98879251, 304505614, 705088873, 302967102, 808590123, 377503795, 677301694, 945884962, 706267313, 349129921, 782356899, 453781973, 712752282, 975169964, 281698245, 83079027, 605320667, 66399152, 812434568, 428074545, 964169857, 781089414, 1001595794, 1045173291, 521773566, 231625959, 644060346, 150576512, 370437196, 37212426, 310032606, 541599111, 116644967, 857488373, 418062782, 33366044, 288322232, 487995515, 379459551, 28131490, 375512983, 1031012164, 245443820, 654582377, 542558859, 65021517, 693153851, 61953077, 52383324, 487427099, 904479633, 895977710, 908568846, 704762021, 45525433, 277774269, 887738924, 220641214, 475182638, 600475108, 394347901, 864936345, 958295783, 612669343, 228408662, 121634125, 182278053, 713216079, 484881809, 939410771, 19542860, 705918104, 468659130, 811931447, 358074255, 90597776, 634506023, 333979484, 616325881, 681732691, 70206831, 521480555, 827531491, 35586517, 565605323, 447941886, 113917165, 526832069, 677835226, 1020971118, 962348170, 927180869, 881477639, 755748410, 58437030, 263512670, 1005151623, 189137799, 903506033, 697943100, 290754745, 650429920, 392814204, 846826365, 812724714, 591482755, 65130999, 211735249, 928935183, 1004216992, 726061628, 689628655, 50010759, 489972028, 928122442, 955882851, 726788120, 1014674953, 130726212, 1039122506, 97736620, 951246469, 922520647, 1033809305, 218645237, 257557968, 375725225, 185779975, 634577261, 786318580, 752919741, 569008230, 581631086, 411310470, 463438544, 359303838, 56139361, 683957893, 687676865, 567961284, 427550647, 175865253, 691900418, 799986826, 202099967, 415502145, 738483767, 656604289, 600108446, 688736422, 937211304, 125157686, 237109052, 542088746, 768071092, 157594658, 991313645, 273868555, 863613391, 310643454, 514252361, 274896353, 418447602, 680210719, 424664548, 249250464, 986901193, 726606629, 803502230, 412207582, 626579550, 389953547, 641137606, 223202066, 779129418, 776471970, 344601428, 404820980, 739853676, 79861419, 264320891, 346752790, 1000669101, 673864257, 354268998, 671787967, 344027004, 315727226, 566325955, 85218073, 276833010, 80795346, 151864544, 330557600, 506289431, 70854148, 336457641, 224974770, 288968977, 60102368, 489572541, 913506967, 203948178, 776650913, 921183352, 677308894, 129364635, 334619772, 297954, 215098514, 362752149, 266872112, 550666236, 425795641, 340817315, 937862003, 934859384, 195567547, 196533766, 2011580, 1009756503, 161285319, 382309804, 659516923, 408351510, 333631527, 638141621, 817285056, 421579036, 205949948, 292814596, 168996002, 550221677, 503922580, 473210583, 731193274, 214221724, 843329745, 469279124, 19537068, 164248383, 886225791, 620402657, 479914111, 494435125, 817778122, 642570993, 292765452, 49607073, 538067893, 276759122, 957646260, 623755526, 469268039, 252100071, 376819034, 105232300, 275833580, 984675484, 572707310, 845934626, 903048316, 406860317, 521432637, 40392408, 842620060, 1042867808, 35176930, 1046302903, 989268052, 74621604, 263611696, 322807665, 371179958, 205171827, 1002604485, 10710874, 1014918299, 174961680, 859958159, 410744506, 924779893, 938205055, 776938966, 555629851, 589830505, 677311607, 947248478, 263555406, 622436253, 156381638, 311358385, 1027003598, 303733842, 470585960, 1032890961, 1073270767, 441422126, 57326481, 759008716, 618602301, 780191877, 865739701, 285697317, 715421255, 622509844, 807067988, 898770483, 610323045, 624895724, 563865894, 482407423, 337225455, 844755743, 896012395, 843242088, 574735549, 255426222, 367128049, 845227309, 106486587, 935067557, 274902540, 411475481, 544696318, 193119623, 1055531418, 1067154974, 827252699, 110096697, 827756961, 794639978, 804904134, 167331342, 527695533, 619675514, 552310636, 1047225603, 560699962, 16587897, 798961468, 338437240, 949172988, 15930102, 384438768, 211975450, 650825982, 714745625, 960334122, 611057133, 373251494, 720091277, 531799724, 826266256, 449313362, 484592716, 996182817, 348238243, 326849569, 613310217, 822145678, 35549126, 737538114, 86750303, 29986125, 147806788, 199506625, 757407980, 1051769028, 1009462482, 1002807110, 558260413, 873628838, 311171257, 968139054, 569815111, 162101120, 270466686, 989554354, 926588566, 309559728, 286787375, 119822631, 903849398, 392562906, 354974526, 102709484, 311752274, 434524770, 961551012, 198073070, 854139984, 919248819, 870563425, 863461138, 529051433, 718628013, 683665285, 567460757, 76246837, 788023614, 355345557, 795938204, 745703273, 615674891, 116112098, 512497895, 83573243, 358534639, 534370342, 585992473, 735367061, 242964734, 190148693, 955638002, 195058861, 957670009, 1516083, 853018743, 1056500611, 193261654, 562113669, 241032685, 107310123, 1018896027, 469274265, 1036342855, 728999916, 168445005, 327576952, 815637350, 150816533, 524778383, 1030846204, 865617543, 844036633, 306392874, 626254725, 121059398, 206203269, 1017316127, 372485553, 799258881, 117076246, 495343412, 955662580, 409860185, 791736774, 584925788, 947946755, 216965428, 297466087, 981815595, 511908989, 520449226, 783228875, 936049282, 464992092, 364849451, 23752822, 59114158, 393587917, 1054567934, 736206130, 937767979, 293721068, 410446409, 955314137, 160941324, 295411124, 940968406, 876164268, 482090082, 542072549, 520007052, 282055602, 571998492, 693311644, 202303485, 33885548, 676256827, 968938010, 651350564, 548907483, 967249150, 158475363, 292463000, 199991113, 789583484, 45053476, 830316130, 406448732, 199626343, 1018828161, 649404639, 868820599, 1014249799, 262986901, 298442169, 375245390, 746981339, 853378581, 109856759, 775376629, 151249637, 626150157, 859868385, 362644610, 849450999, 170393379, 331759659, 364607748, 237884575, 719789916, 884717489, 752252287, 359470715, 892163255, 336878121, 124075906, 684848236, 194085665, 218691572, 845213915, 751939400, 550909066, 462473201, 485448518, 233630301, 240564350, 669395820, 729009767, 911919998, 370943160, 154017234, 905896836, 769356298, 1068448549, 782477158, 836113313, 163915630, 12351368, 145091904, 258799863, 321963936, 803155605, 250272604, 172287012, 755944061, 288813784, 177136386, 1000388517, 250938090, 708865978, 326969334, 524240137, 452701508, 287156660, 462231463, 876186335, 919760760, 423571549, 958750836, 485371500, 899224843, 236757076, 301396146, 871823954, 852016565, 249016240, 90627026, 341365049, 445484413, 507510955, 806152344, 564271858, 194305090, 815643028, 608909215, 179909579, 1060943567, 811869483, 49018655, 151564460, 932382769, 1071697931, 1067640537, 847313198, 255556471, 926444415, 1070860, 838662338, 728816339, 269441046, 310294205, 308143253, 23552076, 80556145, 730020822, 1063980193, 694078875, 833375571, 1007714571, 658718754, 992644641, 288424611, 605942591, 947763013, 360436822, 608885095, 492380323, 488488159, 156563936, 370122015, 305131169, 623061349, 911452634, 519181746, 271648177, 908678017, 535677906, 479509411, 45126190, 646997362, 15755962, 234310619, 419002755, 353627559, 991436030, 473326408, 714467027, 287745689, 425829807, 178797811, 543422227, 983753465, 498257482, 695201020, 225700126, 593095092, 16227448, 162164388, 35610207, 59966782, 840333812, 877231117, 423159458, 275442511, 528998647, 54709151, 420149303, 946966477, 701212841, 745822265, 531058340, 204637905, 839952138, 1072335204, 427874230, 313006181, 166643141, 254002649, 951123513, 1030588298, 630290898, 126836253, 896876353, 972876629, 321310055, 317467848, 394248801, 412805399, 732339705, 905705459, 394349892, 715017574, 396465193, 995610417, 176903780, 170390315, 538211122, 173634167, 68744902, 142712576, 607997491, 58706137, 830404229, 200474455, 1019657166, 576518564, 387553344, 790037145, 1055095219, 368099496, 367329907, 207156514, 817355054, 176927391, 125708508, 461668244, 597212147, 181632967, 542771640, 814106692, 148232400, 459387957, 473941601, 231560583, 214113654, 861239263, 337455099, 113800158, 533636667, 588406917, 255546211, 573353217, 831795138, 286225968, 789287795, 761009634, 535740731, 528894924, 85248399, 974604335, 176672013, 333942933, 816732325, 843567788, 47367993, 563084313, 948570483, 611757998, 739596776, 272124246, 835078228, 102643763, 146265882, 571709686, 1058811951, 708024996, 937520484, 73527858, 32661477, 140129745, 223082405, 35004269, 523160454, 1003659816, 303173879, 96173826, 353586006, 644750836, 102088817, 591490078, 511889779, 348297906, 772123185, 756251631, 43060422, 735918622, 935188686, 59012599, 861833647, 683792483, 540964125, 246618918, 638279153, 1049037363, 670738782, 346511348, 714456766, 605951312, 900109132, 1067368606, 499799409, 40315347, 464765322, 140582406, 972993358, 2762980, 441301237, 888341677, 687746269, 144495365, 852853885, 58690793, 759165095, 823830572, 851229513, 57275081, 216058082, 344690747, 826037009, 302667503, 617688291, 455066165, 274526532, 102412191, 532375271, 512777180, 102525487, 262095631, 367593552, 162068798, 225435705, 754568337, 536034207, 702338968, 428300527, 829109876, 354694809, 249365591, 661769351, 135402525, 93701487, 561697095, 800991172, 828206447, 894144647, 256584159, 986764715, 771878620, 756035068, 24161336, 811898286, 898813998, 420348533, 735544921, 122768532, 483510170, 1032332689, 722973181, 617080017, 1039509481, 823189745, 84797267, 374038191, 843171013, 272543432, 939132739, 337391593, 319159958, 48258588, 970572900, 834001231, 218735941, 426951716, 455545938, 594430030, 441894041, 527225364, 621130878, 667988900, 153101340, 183308377, 407903687, 542285924, 342198293, 340839502, 750972509, 349989363, 355455838, 564156017, 953782872, 724855226, 193200311, 749378833, 997662358, 854805832, 520211827, 643319945, 49063368, 16210067, 239079245, 614371241, 696010821, 740436439, 923161855, 859757960, 984049548, 941890655, 856224743, 639024594, 156091936, 527070872, 240182941, 37230019, 247104465, 418126148, 213532784, 519248531, 1011536938, 474345355, 58732859, 582327174, 702470572, 231468187, 223699522, 227004211, 503338657, 386674679, 112486538, 38742020, 349502138, 795309497, 381250132, 90514434, 742475233, 79996506, 402103790, 750725133, 449911600, 270375102, 544384455, 453917937, 74160385, 1046183604, 210394922, 69296668, 375862960, 1072881611, 80979547, 761612568, 257658540, 16344608, 493779674, 836327003, 26759206, 171225729, 941346064, 566593583, 245592213, 99471503, 297150492, 407899280, 216415371, 895984750, 27232569, 257001975, 582047995, 948714785, 958741685, 879979659, 57937636, 239097205, 914976021, 550288300, 629706142, 218961312, 780215312, 352145098, 377050359, 741044248, 256211803, 358066731, 540912868, 129775737, 594994524, 1026636961, 192567747, 425686216, 303828688, 414442142, 49355221, 1007821402, 250398732, 763615633, 492847730, 277928406, 286143717, 605930558, 807753760, 63965415, 862518947, 805891307, 661184454, 756991365, 975981169, 618911236, 773511065, 804579619, 816105645, 326139395, 80071028, 966509751, 855163782, 939767249, 225346486, 13600864, 5619369, 343988473, 382747254, 1036253238, 943723446, 364004871, 71412113, 732206733, 39406121, 452449725, 1053991697, 44953053, 525425080, 175006374, 640266691, 275920030, 224704851, 506462380, 295192183, 96223894, 148957988, 61917978, 250199447, 232429237, 1016984745, 601155210, 884966313, 937168928, 1001799590, 555000566, 949332389, 497257229, 8917968, 827977173, 629821620, 801902921, 540340840, 170196001, 983734392, 501701031, 884504611, 596492471, 313501032, 517221971, 654305120, 349312277, 634117962, 845898338, 731529127, 524530474, 762670296, 629843643, 1635274, 1059551058, 519964639, 363242023, 391403544, 99591069, 851946162, 715762193, 489686328, 1015386981, 635868766, 527710796, 987639622, 839898497, 349405777, 249005441, 987959666, 209922027, 226501597, 148230586, 12892967, 210244395, 122188294, 723778232, 603852066, 785464456, 466300086, 1056690976, 755803542, 42859910, 824065621, 1045229938, 310041213, 986982739, 309893063, 167678492, 203270367, 1040215566, 180106002, 678567027, 303812677, 465382841, 642281419, 314920829, 715328052, 579755280, 802857267, 922676345, 765115351, 974636121, 549549580, 550263932, 297189890, 135278252, 1055590851, 177212111, 647401719, 178419252, 727363780, 956073504, 883084743, 970821574, 480875813, 371874248, 567063567, 201106377, 1041602203, 992924456, 368604965, 594303713, 146723214, 671113471, 545689756, 720597896, 895160807, 450466011, 352951441, 963514232, 289340580, 282971377, 631656626, 48833612, 836336715, 545831916, 717586883, 690192537, 706355018, 110999303, 953788967, 931467446, 518145647, 384445784, 49952954, 122523033, 728321992, 92573537, 203585360, 1031550420, 530506686, 1058607529, 369267461, 678627594, 1012209240, 51647296, 246868895, 691023221, 1033461098, 901887153, 321867711, 234393187, 236084045, 675785846, 854302634, 742360196, 377881317, 615621728, 15940728, 598419456, 939625293, 417255540, 572909227, 447272528, 197750580, 845845299, 541786462, 936314829, 578757102, 14016040, 269887377, 709720185, 252356561, 576672689, 625221970, 171907088, 910665814, 1045136216, 195889405, 22974825, 813456585, 868347646, 507388405, 1072370954, 646175018, 65311253, 749326179, 138561560, 602507622, 923372002, 498498262, 649467057, 183623056, 287402157, 40391926, 1045126113, 794326799, 66138605, 588363783, 509052973, 983140782, 931922980, 464784754, 144742096, 171276312, 215770364, 512757499, 417785493, 795187036, 204475655, 317446061, 747373433, 353291309, 537739527, 266326505, 313086531, 720095395, 1051402574, 660566972, 21150518, 932935670, 395204524, 397958115, 658286450, 150665245, 412920239, 868653308, 761599492, 726901942, 708119231, 965930587, 413633852, 816883393, 478493109, 1003340330, 920864989, 299620450, 144472425, 379502670, 122747690, 793937520, 842591724, 889635265, 1020794129, 263190067, 486448854, 73978782, 232673825, 746511388, 890952604, 398276091, 856311298, 752614891, 393149499, 475449520, 214804653, 284407059, 733888103, 516372556, 274370194, 380743780, 174941125, 651021045, 500677839, 838943238, 541853452, 783931744, 1010283213, 26249984, 303414221, 58865244, 230293125, 605285198, 27080943, 735088694, 378834093, 580872014, 150336561, 110183096, 189718354, 894547450, 440170428, 718673563, 182253592, 1018231253, 867184317, 129577868, 200688373, 1052150161, 264257513, 538640488, 251185232, 594918221, 805924549, 24151247, 268161595, 778252034, 479231185, 655867724, 492132513, 406607118, 908389676, 682274667, 466543796, 555015000, 18085910, 1069173664, 631606328, 580479594, 790950809, 676696811, 481700881, 945901039, 582381147, 635513195, 1061052120, 426910800, 511074078, 844071224, 626679107, 1050314649, 108284558, 1011119188, 888922261, 433172870, 382333829, 330183514, 887269577, 662577037, 342037982, 770228107, 939983471, 66902908, 475881032, 622958711, 59553013, 749200139, 792120962, 546515934, 261659249, 437634991, 318971359, 980252540, 185561519, 977030139, 65710684, 922399675, 608541244, 132563230, 186123808, 332324133, 86817698, 8536565, 885670820, 144069602, 131489973, 420907052, 578949007, 13020958, 861798830, 1054796158, 51428271, 330547341, 970329183, 888980004, 521436896, 72012492, 427412798, 958046465, 994537113, 800497989, 70606697, 883011952, 36490366, 780541546, 218459275, 580745836, 1026791317, 1000284668, 79276971, 404395849, 762835537, 579925355, 547683937, 892586162, 326239120, 118758403, 966898678, 375702850, 779480686, 512233153, 53969203, 163622053, 377920573, 493141126, 476402036, 5320249, 540853843, 398527644, 856594646, 809239463, 573509814, 475732609, 457791559, 999934414, 349190099, 457699459, 978771551, 244290570, 957330748, 501898827, 1028264807, 409389734, 9585358, 924022714, 72351530, 482084607, 706548444, 191792927, 246371796, 621312927, 255507687, 997026306, 817679572, 444658675, 735699918, 853228738, 188981139, 550406901, 357361432, 27963454, 822198263, 398777474, 1010915552, 456773967, 902067213, 543466447, 156924626, 752636536, 507535100, 878894403, 668327585, 677589007, 767927642, 42428795, 997894505, 800120523, 859286291, 663646671, 757325263, 1062695561, 151201863, 482999486, 53540402, 965959438, 586091213, 159665045, 456607315, 125415093, 789879630, 375366906, 705351234, 349399003, 24423805, 503729817, 625154089, 1025704952, 672075779, 985455340, 240154545, 762647472, 979109733, 636839609, 678823508, 55946747, 684250239, 176201714, 553570065, 493560684, 365936100, 152822313, 964962271, 463786288, 1012570693, 585160401, 384353547, 742063850, 420473864, 213050457, 553758632, 531077162, 149361478, 1040097823, 224078240, 788124801, 1000970453, 494317234, 856248015, 623892681, 523605241, 766352177, 565668536, 458293565, 945884655, 191229692, 320805342, 484875502, 641853027, 1019508069, 1000674411, 1060431008, 538328595, 5853451, 696677629, 145399121, 568001927, 686473958, 920065847, 124321326, 419292710, 477058717, 513276076, 163498850, 958428408, 368238606, 413239283, 312059714, 871350873, 494616137, 900204154, 1034026738, 743756084, 210514364, 380792673, 381564359, 172224040, 914810454, 546043542, 157332064, 2941869, 1024435089, 523307557, 967416612, 567108960, 1063955160, 135740541, 600844325, 894264486, 702146950, 605353581, 904491414, 225982422, 719843748, 330153552, 1058309062, 584553241, 737311513, 738832083, 101035498, 242699368, 513751959, 630062913, 290556770, 846040750, 319947937, 874958655, 562396319, 871500184, 899144205, 294761082, 236656426, 26892058, 321215921, 546930795, 754874257, 823234587, 452532113, 984582501, 237390589, 962428459, 81377217, 872064106, 684818570, 162629894, 814002067, 918665925, 563767894, 651351373, 1042816424, 499657687, 342901828, 779846079, 93878171, 648668808, 629471874, 1053066664, 288577444, 806176284, 805499540, 928628409, 111612545, 432844946, 430624107, 265723361, 295916974, 366785744, 576456395, 324385089, 428441455, 157513601, 452505523, 415879403, 755966391, 653487269, 1048937581, 43628661, 369506347, 35886100, 783772840, 993811879, 783152076, 560092855, 393366631, 3622668, 458020720, 608833685, 650201156, 544426559, 802490802, 158881040, 629094254, 288491177, 715622848, 327103832, 914577171, 128291416, 956937040, 899894271, 159957357, 489641508, 811949996, 838994576, 305985881, 497182342, 655298550, 104071070, 458423209, 786101255, 591134936, 397931269, 943007188, 826620010, 504904585, 996947133, 586416242, 990654847, 1037733524, 98422562, 69454825, 660468560, 740885429, 187110733, 423086961, 108823537, 756309608, 1017554694, 25932402, 432847370, 760108630, 1070793495, 114213765, 774661876, 100749844, 856231084, 307391714, 3414376, 411901623, 177781423, 938881221, 795834919, 480051394, 429602819, 286057473, 706972498, 410092560, 985813831, 859900348, 343470259, 587178888, 163330147, 514397783, 433557572, 767775011, 640372312, 91668645, 310790348, 152370636, 42447308, 656375345, 375977494, 60264579, 493849509, 1040779255, 543350123, 263706250, 386765700, 815568774, 114621225, 253661041, 710112502, 961577921, 62189988, 584183226, 1069517718, 226423131, 894234980, 126526393, 839273988, 810068154, 920163274, 522291226, 889475156, 1015627799, 857236779, 585953586, 966657806, 1003767090, 236470910, 1058423715, 191580791, 622851801, 173642606, 897980337, 407233847, 1041767491, 362455521, 645936933, 996941086, 74326209, 768830871, 462640997, 570548685, 418361367, 134993507, 20917453, 966846739, 471382413, 756092379, 368932754, 595876375, 198871783, 59889760, 742322576, 414246272, 413467566, 733754235, 951795111, 440626660, 803771471, 603579139, 299721, 53166088, 490825763, 942031420, 900496926, 799849747, 17424716, 438390433, 344678870, 1058951295, 741364211, 249081614, 412560640, 422258579, 658939702, 627188203, 454978863, 154943724, 589314007, 560306513, 961030057, 1012062812, 663486659, 889686541, 802615777, 1057478988, 694890647, 835131254, 129291663, 692779207, 369386017, 220748501, 1021396029, 939396763, 659915004, 55233413, 912629355, 373151129, 117667963, 439532043, 822921405, 995498752, 929033393, 21485170, 248081385, 740882085, 495796803, 896060094, 193981125, 244296807, 562192173, 90631439, 735839063, 1065538526, 857689078, 623365718, 652763648, 970335546, 1036058753, 40739553, 447336387, 467572386, 824156325, 1033995279, 144201230, 415550465, 859559438, 442284432, 656360141, 368892360, 145800555, 681517018, 535565705, 941138880, 553027926, 826302569, 162418897, 558920999, 809629118, 857770177, 503822762, 354291030, 133839892, 294173768, 544527764, 915782791, 17822275, 620722706, 714072117, 492560325, 743088854, 764564805, 403634270, 628220277, 589922662, 972896915, 655360369, 143980961, 207474037, 287636036, 730051822, 640387594, 73230694, 369575231, 351073798, 426812670, 437913512, 525505213, 283830645, 185798407, 599537597, 85327531, 903407717, 1048798157, 571674927, 425899094, 702144961, 515059970, 406209730, 900571316, 137853516, 529907423, 724038046, 890749088, 527004002, 205289656, 440421311, 722747974, 35474555, 839402741, 848571939, 116153845, 98271063, 513926587, 876219099, 801021757, 982168602, 859953947, 816597496, 622487157, 345232194, 543545178, 643453060, 737902209, 948408660, 626407860, 888755049, 626961264, 281308332, 791372157, 663019774, 634564191, 468875625, 148600614, 504410775, 692421150, 312694065, 711320238, 626809799, 319197677, 274243278, 728138638, 18215044, 970399645, 21097233, 221183936, 118322766, 236383642, 571477035, 246270906, 14595246, 839488973, 176166359, 316540440, 1012099817, 192877025, 855162971, 668403863, 117278602, 697814582, 293577871, 491365819, 1029881849, 562511653, 321675338, 736257233, 521335319, 1056700391, 299182244, 1032735024, 536841993, 379362949, 935102153, 590245867, 468760027, 214889600, 576041991, 495418046, 50134660, 267327441, 52575246, 954126911, 556054796, 714883521, 13404850, 602998894, 748984542, 607211692, 397598498, 631440078, 106433256, 592293877, 765783218, 42899418, 290844711, 445545472, 857779921, 596642836, 463638697, 141336751, 624192609, 951109939, 235416504, 830736877, 657400399, 578150682, 552043887, 1039751477, 1071452059, 59635658, 56814627, 294301780, 925102891, 736072149, 267425432, 364098993, 399961936, 276724760, 924097201, 532179399, 273052854, 716889006, 623064817, 990279722, 1056348915, 880847506, 519093954, 604879606, 368939546, 688026998, 634280879, 368487014, 666596361, 709167445, 728304135, 753068803, 833657369, 50928159, 507262961, 178072318, 875782730, 1040428539, 498348549, 677718843, 112050438, 829692046, 37685183, 603597669, 1056966602, 922843575, 286441048, 43004228, 464835936, 737435940, 566177706, 897794248, 87124582, 274347457, 647306297, 114063557, 266555746, 685228873, 578497183, 752802311, 794717770, 990870096, 1043760416, 420039235, 931546618, 124186194, 502965525, 204853173, 217405263, 603978686, 916660689, 821233626, 874843852, 287062128, 578682495, 99024622, 177847663, 511246332, 879367504, 323664026, 989417316, 927144505, 1002585696, 1001274852, 122537841, 952736615, 87959717, 154920163, 786298589, 743606032, 288092488, 92092099, 1073733163, 737622604, 90887818, 511025378, 63542592, 1012696953, 626350134, 131913418, 742578949, 212451531, 137263880, 544103806, 1061643803, 604551532, 466367685, 44729529, 366351378, 338943069, 186653872, 790178997, 986034275, 129392908, 407952007, 95505811, 381203494, 777314485, 59547470, 999472085, 1025680281, 408765335, 726953684, 15756618, 115563470, 958221268, 765127837, 809916814, 317460863, 676805519, 222155276, 173547364, 309554867, 670035975, 604574618, 1067128589, 582885579, 278300771, 365333198, 1015146432, 902200351, 291674092, 801644552, 824386181, 779529438, 277147212, 933718848, 1018754034, 980055340, 661061412, 861171451, 364778976, 774987766, 1001613291, 374568215, 661957550, 806879022, 1006674195, 946441181, 652654054, 936095504, 134744184, 873425709, 468217511, 376913957, 1052091261, 532458, 803369124, 274726911, 111304188, 477793268, 347669554, 630011715, 898141542, 759588203, 679293936, 780228234, 737427852, 937202016, 109549020, 89815834, 466198314, 894493139, 43173965, 998252587, 288025532, 700235315, 407268654, 245758332, 486196440, 415535331, 318449456, 1030235531, 619838459, 565357426, 902913967, 757966043, 771302341, 811473735, 100916815, 481404590, 486882256, 560680219, 63216000, 219040146, 585778402, 1014226727, 654718538, 808602782, 998842396, 870564421, 875877205, 761094578, 1038248925, 962219129, 979313793, 969378468, 874161655, 738868098, 600940118, 715026646, 131072066, 330690951, 479330208, 217548618, 862602764, 792253967, 386945581, 896337221, 350597367, 608170996, 485653591, 596005507, 488393337, 790318795, 772233976, 1049016911, 354426320, 599263431, 197417702, 801503958, 1028768751, 642286305, 588932396, 55069843, 389122984, 1010543485, 396360495, 42020876, 179855381, 859302489, 610944995, 572905048, 800781681, 327182402, 331764232, 87281784, 631129991, 336762595, 521968666, 709673637, 404638427, 688579614, 418504062, 890907343, 862022360, 939275462, 983888139, 1032864833, 546203158, 119493508, 882288666, 547855647, 372931360, 615278865, 822090039, 536418697, 398085568, 591579067, 663894941, 576032132, 842510140, 28260008, 131824658, 111556006, 858308093, 661103696, 815834789, 729822247, 158788125, 249621748, 980746928, 318237494, 337822192, 543093402, 797926451, 570877195, 371004991, 496264076, 508121155, 887816605, 791419197, 268122708, 193185299, 710075082, 874148489, 894143620, 619668665, 252100381, 292385670, 924618583, 370421113, 882807026, 374449243, 450606594, 552176699, 100318507, 1049396578, 863144693, 132019877, 1004506989, 587236086, 659084641, 775749930, 343820626, 108733065, 708579758, 228006594, 175411031, 976210455, 573356823, 817971920, 277176714, 59322629, 742342244, 250656013, 16007456, 509972112, 490540437, 541230742, 976492819, 228796083, 803997570, 454808154, 174826291, 602532917, 66438282, 240060978, 1009998139, 742987077, 685115125, 161458974, 515375655, 297219250, 816945167, 538367087, 43682313, 552273983, 667653980, 487780931, 771292503, 337311743, 193175937, 929548772, 717775677, 873206493, 486617766, 591403055, 99532922, 695898371, 206595382, 97257756, 838297658, 983759969, 257972701, 270923192, 1067435199, 785366716, 933350948, 445563163, 896101077, 1005526436, 211899043, 435509074, 59793995, 883316681, 923744247, 846116635, 815386032, 1051001530, 574205349, 124434926, 816964589, 5443806, 252601602, 759484725, 1043029967, 172430048, 851499430, 134325704, 724668588, 866118358, 956566066, 186429924, 307701707, 328603284, 221033758, 413352153, 691604114, 509168763, 308802786, 847320908, 118708522, 301431857, 264140200, 774866083, 936991782, 1050224365, 1044957240, 621746822, 382972294, 820438528, 1013970655, 577443286, 252548589, 407257520, 235450205, 338573387, 254747154, 64321088, 463523929, 989660010, 79632364, 309344634, 161912993, 993804133, 990443854, 1042676352, 654272824, 73781274, 407758379, 301217560, 597808249, 557172698, 125252306, 149652694, 527717675, 706943847, 852216899, 679703014, 928390584, 80714648, 674628049, 881616771, 1035682369, 226437478, 428209282, 906864081, 403209104, 475102871, 744597397, 985934538, 30180496, 539838942, 443424034, 189973657, 105990877, 20840472, 73930072, 582544105, 145762607, 781401989, 594389757, 735840398, 1004679129, 767901335, 337421257, 640269218, 859365844, 849844502, 1008381255, 380962804, 230614028, 434852709, 822943874, 136586680, 354569855, 17871957, 565822654, 339984053, 100949194, 740353087, 363368976, 558481494, 598802507, 547940336, 522539163, 731338174, 245473686, 154506025, 855530789, 341538889, 406316935, 468514811, 247241615, 577471055, 37171369, 850549665, 626091550, 568736329, 336764524, 562399716, 719804779, 88131240, 276073184, 801695980, 169595629, 683813531, 1004912621, 36539762, 653695608, 463399400, 600498985, 515487605, 16364306, 317470542, 293597418, 266174962, 837349548, 539613015, 709319995, 806134634, 37125768, 449260024, 366509258, 805107047, 134918830, 118411267, 322267715, 456745307, 391184218, 819149241, 595284734, 631369167, 963286843, 12536865, 204173870, 6924246, 966865647, 296855567, 164091871, 988009907, 87516518, 620531322, 654069225, 192249317, 276227690, 339480310, 765952644, 303818368, 977413473, 616476017, 843320008, 758558995, 246421975, 616608025, 181758808, 329314435, 977908368, 265260762, 1010852119, 232953340, 174229677, 702750155, 760098557, 760292034, 620362161, 379770647, 807559440, 595926444, 601684188, 842271644, 855325232, 622701071, 108496503, 931549590, 945941429, 1064106042, 35302609, 18054589, 176992716, 214566779, 557767694, 219171632, 945724371, 257655949, 271747408, 852256976, 568301843, 1068114861, 845841337, 1032959351, 714347701, 275525294, 293685170, 279221435, 606566300, 755196767, 457042024, 827813887, 141408589, 402808847, 185474884, 182946260, 27849929, 82757319, 39548118, 816286551, 635609745, 1016330985, 705526415, 403237303, 317830321, 206861896, 581474308, 824749620, 463234674, 986903970, 711208851, 775383577, 103811960, 970758398, 653258272, 881615486, 814061201, 370387249, 927350780, 500785062, 106392618, 182748157, 565906625, 349298545, 995103086, 256026685, 904506839, 91938792, 183206876, 761512671, 939977750, 717005214, 303290321, 55178411, 908282487, 713280252, 1063669499, 541626502, 1022771925, 200025905, 879788867, 1021004184, 668953973, 218889670, 391702497, 26754507, 630208287, 960194677, 302385758, 484201484, 501364174, 468871043, 388081581, 478192602, 975339396, 744997863, 636327066, 744370393, 89327848, 736485736, 428651686, 179435534, 119352715, 743090823, 892990206, 989438806, 6698128, 193727444, 300074538, 671115456, 76200381, 710248515, 878858474, 980391969, 672546949, 296076992, 1057430182, 914562350, 248964177, 953113027, 737484880, 880673998, 322812572, 673992721, 333163889, 255565938, 48600434, 142462908, 939605592, 929604149, 553301711, 882674220, 495721449, 186358530, 475593251, 583199916, 592887985, 800486222, 569523715, 809185264, 104571023, 293208299, 859122789, 214703587, 602344005, 498229521, 27386848, 45525460, 284951901, 526084157, 335170200, 830928901, 244908649, 778711056, 274121517, 747237282, 931627770, 747001216, 53838528, 244327440, 994060651, 944324974, 842904904, 439510452, 794925658, 493394256, 907700829, 327003050, 883403894, 896230560, 644031449, 914156797, 969615153, 940650775, 224759244, 972256159, 453075333, 775984682, 1034030908, 153701309, 671686253, 894980899, 89494229, 323998290, 881503818, 75655234, 671289990, 20497169, 920582847, 631502630, 981127739, 353016829, 900701393, 556689000, 261687659, 443038505, 332325602, 74558384, 94719479, 631694243, 390429745, 353624966, 583897792, 196966139, 1041725623, 327212324, 221202298, 670695693, 375176390, 1059323288, 724136647, 121610165, 473709722, 994941313, 401989005, 250524557, 246323114, 971382565, 426150564, 830551526, 305308440, 388177853, 500138396, 363426535, 636542917, 398838912, 247429053, 329909514, 938954944, 654412452, 820425411, 732930326, 838040966, 614353113, 278613984, 80946213, 311581705, 947392995, 841209218, 311080012, 470179357, 173398036, 999302516, 443802434, 886000875, 181759791, 308477128, 1058514557, 612931214, 281990501, 270304189, 307663266, 527008943, 225700381, 162323679, 84092654, 648104191, 1064049876, 256544127, 601631089, 952560054, 629924302, 983879780, 899468656, 963983972, 849014090, 942420873, 1038716861, 540864857, 463039304, 589116648, 459301278, 878199402, 420938080, 559520424, 902988858, 737503858, 118111133, 436601607, 872208912, 1059558281, 678140189, 115892807, 275187840, 468452646, 846163164, 878573605, 968675274, 793835760, 505691060, 789771423, 707134670, 90864964, 497790316, 863326326, 86663711, 61774027, 872575644, 295160548, 354732064, 693451231, 493908542, 537551824, 458665975, 373104308, 24177781, 27873797, 179504373, 570881652, 900675677, 939465036, 697370180, 226205934, 425357991, 698041329, 931284237, 821662555, 897940455, 1043899117, 50139619, 208685921, 815761689, 693071552, 617440014, 321607137, 1032177467, 874643750, 56019495, 672751011, 467052138, 340314609, 417703491, 621406555, 884189762, 139258231, 804307186, 940255660, 675166968, 394077550, 360461546, 971859100, 953879334, 336430281, 254011614, 197567912, 60736257, 695232891, 320717805, 465512760, 1033956628, 93547636, 786612263, 294097651, 349334300, 17539902, 281612119, 798556042, 639249162, 524814264, 934170715, 790592818, 588932710, 46821546, 789126938, 765825802, 1005333206, 616447405, 268065527, 965555747, 1043069177, 440862041, 159649448, 524585562, 883539847, 451200254, 459498450, 555960687, 91617772, 649909342, 739816066, 717758203, 687152511, 241081208, 400487656, 777846405, 107219653, 542106101, 408651680, 432216278, 532494730, 772095522, 422808898, 529667099, 362702013, 864194752, 1063176552, 678199180, 448446753, 232704807, 248171043, 419080435, 261672440, 205632294, 943502568, 797539552, 175274024, 334691831, 148073566, 14858797, 655162758, 3147018, 1020927977, 420820320, 107830782, 71278505, 1024675308, 714723322, 6370915, 491275766, 974077764, 139265741, 520727497, 145695116, 251140181, 322846799, 1042467379, 650562029, 113681737, 84358922, 437092936, 868674823, 824114653, 870719926, 81951666, 668287499, 959614819, 119467260, 699977103, 161085713, 676828839, 844023206, 297190065, 1060260800, 742376463, 472658287, 732531645, 379915484, 242108471, 58341565, 674075842, 846742388, 913982412, 867611284, 923247269, 313869451, 484288987, 162568299, 159779011, 863261288, 270576672, 41230975, 759648942, 909712172, 650501304, 789345667, 582325946, 473087359, 355556358, 772147036, 53540695, 548824488, 1042097777, 476405836, 173242896, 485747006, 478933276, 160710195, 665803008, 405303630, 893518887, 528212446, 655609284, 339898577, 627621587, 899645322, 571310586, 893031060, 795617359, 754380835, 165601403, 76727617, 72955640, 60307482, 27193692, 134158304, 427913828, 57857297, 1016694232, 543231765, 383048655, 415243982, 100641316, 700436142, 174259714, 570107461, 979503530, 310829996, 817124238, 247322978, 91031212, 590416638, 99652475, 860478330, 274005853, 478668920, 453849540, 494418586, 284909866, 180975601, 975892603, 910213242, 675395439, 532101125, 724807329, 371384919, 781992451, 572907661, 15367454, 377616276, 819499691, 356388267, 155910791, 252351878, 556853309, 518022628, 851318103, 538535825, 718560792, 391038424, 651533915, 124503628, 661746158, 18121988, 1068293475, 933850623, 1021963457, 627822438, 241364803, 656238316, 1047541108, 990732145, 71340931, 63977648, 293784333, 966610987, 710207599, 209274572, 767852826, 1011830112, 299732751, 84291983, 1025614914, 101890028, 311254786, 847831932, 643554529, 507686922, 150266029, 818049592, 113822435, 341334234, 680547921, 167114984, 988523815, 103487347, 83317594, 439240966, 336162066, 15539636, 32367951, 891051105, 439067475, 408648433, 644986405, 189244679, 768317603, 496605540, 560423000, 260318182, 526138356, 494066287, 1036575259, 164300493, 111279814, 836461954, 263075120, 754473700, 841052934, 305018675, 65118574, 154832805, 662546951, 157558249, 242296969, 131013693, 908466000, 307709690, 735062035, 931737833, 303670485, 97164632, 482343970, 765735823, 967925976, 693068707, 883104591, 240721777, 401848788, 519034577, 226914824, 532137621, 530188806, 184655195, 81383240, 656564552, 325137049, 850777058, 665030722, 466789100, 119419513, 998969638, 179777737, 259881478, 968036532, 886331870, 28721488, 899789281, 136735448, 254129103, 186616464, 783294630, 519183150, 915158856, 443055530, 500633736, 311750406, 520821613, 271995582, 330390797, 602927931, 999096966, 193471755, 971423043, 14779724, 633385925, 895432252, 484356648, 979023369, 529004774, 665840725, 527128419, 106776257, 882370792, 375809497, 428564931, 285960002, 6423850, 1058133959, 200622231, 247248222, 397313664, 298560392, 148791664, 797860535, 202785242, 1052853959, 293558968, 989618719, 680287691, 1026622676, 189251976, 440351778, 130977384, 93670760, 904409870, 588139953, 772496015, 285076809, 913022399, 39097830, 502271945, 20668631, 1031496731, 633992552, 562986104, 732826787, 144637342, 1029337543, 652821782, 650181391, 449356520, 707748874, 488280943, 701778982, 872069923, 131128726, 927945150, 508613907, 647228281, 701479286, 583904148, 229397814, 563807150, 221688891, 119590869, 934909270, 691215896, 819061597, 165290238, 725714439, 36294618, 776321089, 548471601, 595165900, 946747988, 231625424, 411440534, 941942906, 242881353, 282795027, 61583225, 1031951082, 836377557, 25488466, 662876228, 796863602, 1067310071, 833974494, 611056922, 174161143, 375030966, 178444651, 1038551656, 135989542, 855337130, 1058843777, 124464073, 642307941, 565532420, 187704506, 588645475, 551591821, 430632122, 663528681, 489624105, 393108791, 824084759, 799914360, 63810233, 806045688, 818191243, 370332758, 544761009, 187270591, 549298907, 583147525, 439953167, 1047311445, 654555517, 571199898, 531057943, 645669227, 947431554, 281795559, 205349840, 494185459, 308897223, 715340123, 470205038, 612689306, 523813882, 159666745, 161251516, 802139817, 680456777, 847027277, 484136480, 63790240, 187942722, 853657128, 534878497, 972251873, 51819789, 800453816, 930681647, 24779709, 807456586, 152940711, 337850986, 978906205, 47618730, 883676652, 2184352, 482790138, 703717577, 534870753, 208102434, 507500955, 374014473, 691437788, 176867772, 377754261, 549115782, 958958814, 211534552, 673211531, 479603229, 222187379, 221903071, 725655130, 53172702, 918937071, 721164323, 42914497, 356219825, 1048578299, 566186425, 1042855809, 289170669, 692882757, 588463007, 344633435, 671547748, 947218455, 958879058, 444219338, 745951634, 482844104, 113834301, 404192471, 65721246, 394340990, 589725571, 877722198, 754991139, 46299418, 973133879, 37643906, 27682450, 339965613, 393088447, 743254070, 787923049, 178209586, 114051765, 531702043, 857894289, 151172738, 30684193, 575455172, 1073358619, 928747025, 88793800, 213177518, 583077610, 555261175, 7587942, 482781385, 263518899, 285458858, 637239523, 583280014, 980234592, 731867664, 330685523, 360598579, 241813337, 970080127, 212725529, 853751957, 826639685, 1052011941, 68430317, 922396036, 279949830, 566571058, 268284686, 440117354, 828280213, 797618154, 381301782, 380399035, 571310391, 848092119, 189694400, 209731688, 1026777807, 784720979, 571198784, 1060983574, 866080121, 724240338, 202783145, 714249441, 158198574, 733448582, 767069983, 876189339, 465826504, 892817639, 669274337, 516686203, 578972609, 936630831, 355930789, 959450264, 534497825, 249957349, 702506411, 901947606, 766100550, 587260165, 158809950, 651034489, 477441956, 566266360, 975932273, 478029209, 380056112, 347844669, 931235352, 925287278, 429481621, 616904555, 832639722, 401540809, 564341904, 415413751, 120449074, 689593676, 28627989, 499841569, 506607140, 279422670, 540524616, 283792739, 461474421, 337341388, 431308415, 133357034, 787915960, 914359336, 733141382, 377414311, 670849690, 42762563, 907746807, 566495310, 79530557, 1046338779, 810132989, 140439907, 1063000669, 259889509, 726098882, 184575186, 157114939, 507562717, 837774313, 252811748, 834022431, 597018111, 329517017, 1034333462, 929936293, 1051536736, 240492925, 833231140, 322212851, 238169698, 384460925, 544670978, 530149641, 471775065, 318161211, 409078950, 941534608, 738814636, 347328020, 276561447, 191239261, 803551050, 39954927, 571092401, 760091230, 655009570, 883560267, 99086767, 926362088, 910805941, 117753913, 1023354505, 223257907, 422757702, 610119712, 720773556, 1034901561, 706709019, 142320994, 320865788, 657942768, 585744338, 123263568, 105859775, 866006782, 886391481, 577993329, 37989007, 270387062, 748163166, 104624173, 33596456, 580909525, 741428097, 327692572, 878395115, 951193580, 649595600, 669365649, 860578400, 511828666, 1030218529, 15115162, 319197383, 897186832, 317697609, 977148724, 662136311, 250750739, 53066547, 838916668, 486356564, 816391435, 461904776, 707305186, 1010299328, 102825517, 555353344, 1021652231, 186256316, 32366592, 23567060, 53894378, 601492573, 91212853, 894056100, 436863705, 452580089, 468893326, 1059150501, 75888480, 73348582, 471261808, 241890352, 857856904, 77743056, 1026592806, 570576392, 247301710, 719940218, 356559469, 686753790, 394985058, 715852587, 1022178321, 1026416860, 530186173, 165926497, 1056558170, 381469219, 520502755, 537461490, 234820092, 958196286, 934332008, 695734639, 743839988, 189168427, 270834974, 578434340, 214304880, 151350645, 692203051, 405147717, 939695853, 734075646, 367361500, 554913145, 161242799, 936484403, 126576006, 146684216, 579578427, 1028281582, 955007983, 417953122, 138203071, 431905675, 257145724, 688324568, 686246566, 751982803, 922000583, 30797584, 40288086, 851251069, 515917270, 99575209, 593791723, 531648228, 107174167, 208561066, 525832716, 602330196, 712734875, 336637068, 356295992, 532086133, 17216022, 279114810, 969608613, 608800069, 799168653, 310324473, 846641115, 392602764, 562813212, 446335062, 745840110, 98397269, 462986950, 969557212, 151628131, 491880576, 751790797, 1031091788, 98208984, 993012984, 1032856551, 1004995020, 589028055, 562150665, 493031694, 651344074, 512130763, 224046906, 517756752, 994047861, 1027836921, 245417109, 216473159, 830629221, 1026963616, 715059245, 637637040, 602186047, 905759869, 961504545, 1057950461, 440638010, 549676149, 456817719, 149988514, 744894378, 609590741, 722341893, 919425212, 378956351, 643039328, 309083076, 18500333, 218415049, 41099074, 118906792, 1033474186, 699897621, 940261792, 271859318, 147807638, 604069303, 476306048, 585443639, 781325595, 56610608, 731179813, 129839525, 314187144, 222361328, 317803110, 674700944, 299517400, 639283604, 282785887, 442524181, 622021299, 628942490, 501700429, 881181220, 289566953, 746102483, 86301731, 29881667, 640474513, 728665263, 386845511, 37332776, 400461616, 771622962, 703023428, 784608466, 685999688, 324474373, 965862722, 916976826, 43104346, 60765985, 1066280343, 948847245, 1017184884, 151615401, 524193378, 253854698, 622060940, 533767559, 544216165, 770585877, 669891056, 360728676, 203075645, 12264254, 912646404, 87244775, 58303799, 496867268, 608715665, 282683280, 503980365, 199454540, 482272057, 493916516, 881778013, 1042427100, 447780770, 131698173, 429860299, 974255182, 513243142, 484329746, 531493538, 876708725, 735192479, 712197957, 460461279, 398671830, 637670126, 247950628, 639798564, 794919489, 777962671, 821245355, 671663467, 186284799, 363316326, 719044616, 127520516, 915694523, 547501253, 386770397, 120809349, 930407631, 294169089, 392169711, 964132723, 884921125, 597720553, 887203049, 418533911, 291458272, 975998399, 764809223, 352193826, 1023806782, 758827562, 255408739, 604578761, 54868137, 464674950, 160431883, 639810065, 1014646407, 654743818, 738625995, 373784618, 774925640, 78102301, 943247920, 461408261, 931556975, 605228600, 907641197, 705869216, 387219248, 1010235844, 985762984, 183736193, 5342699, 911853514, 731426679, 150903593, 947137016, 613032288, 487884263, 823163694, 552085987, 618052497, 167468524, 91586144, 738381551, 594649565, 135893121, 562210713, 706237783, 275851950, 40621394, 142207910, 777972708, 751638250, 960871381, 682279057, 142170356, 454049073, 358871599, 329217637, 518797889, 457195944, 397058706, 1054160321, 332376521, 539751185, 597846049, 177095135, 128954043, 355051368, 209634757, 604677137, 222778871, 1008222257, 392554619, 469018739, 33910528, 1008114871, 159362407, 440972754, 907458343, 382821479, 166974544, 546822102, 393873574, 568830131, 495106088, 579845420, 352996213, 521209491, 438032727, 335959035, 105229846, 818386933, 122656405, 774581678, 822185683, 454082966, 301487311, 884870611, 612166213, 869935149, 655464977, 942399443, 717869320, 578380855, 1065153325, 69041588, 571985698, 674895931, 613669081, 65458567, 66364667, 827995082, 1001716294, 632624305, 69175423, 812692603, 446620303, 829250909, 525726752, 576775353, 377825122, 870750235, 564533390, 287358174, 431758584, 194922743, 437350806, 559126809, 23556752, 706783619, 440851627, 29563109, 736313107, 320953892, 807101965, 994366256, 666781421, 908345539, 781438738, 22831718, 822886337, 1052338439, 688604456, 563944697, 732823766, 761914442, 1000081486, 7828715, 145006481, 177942801, 839591362, 295431207, 540882697, 110483211, 167455708, 316050008, 146273254, 537703497, 546630963, 869779691, 412833231, 605924984, 408694532, 436043003, 827777441, 149517274, 668262710, 149992442, 968503161, 273869826, 681049397, 755511096, 76693803, 960951682, 778773967, 612094327, 196180825, 195256267, 393270539, 128399409, 498574599, 681521706, 638173921, 762227139, 201662136, 807817524, 619685896, 226871031, 201200776, 859445815, 992323645, 560709090, 1029685922, 510166348, 661520095, 558811859, 286306310, 843210299, 502671561, 616605764, 206367354, 249242475, 561886119, 4736344, 682349855, 260209225, 47579400, 500350127, 90710360, 19563930, 233227054, 943845096, 805841362, 557824620, 1004282749, 363132122, 592617603, 1034623221, 64086921, 552014315, 310636449, 584999703, 338243538, 637781233, 412156959, 203187112, 44761673, 340311300, 301371518, 878473589, 526784696, 514414166, 530538897, 910363998, 604624553, 804097823, 995106708, 672048739, 877992601, 565866422, 1018214714, 491964381, 133661582, 346425561, 547450088, 453176017, 22580494, 974148104, 1034518560, 781750089, 962164942, 405106933, 715343714, 369610368, 797540948, 710729539, 612686545, 374693537, 490407439, 723043789, 156876790, 374264568, 15423563, 319214806, 972452943, 969047206, 260061423, 22646503, 854007522, 675766118, 493884447, 106783543, 675539923, 921411408, 1058697433, 526783408, 133807035, 81544065, 589208304, 996558781, 1004021226, 320851533, 315572126, 901525603, 664336544, 958974599, 21361039, 13264154, 411036886, 119396798, 171715897, 1045019975, 772320606, 966889968, 1051811869, 611400178, 18426555, 805999047, 707938609, 77593706, 419770257, 855472242, 527748893, 576962510, 576445937, 74024020, 149187587, 319844387, 1008792965, 621459052, 657910024, 531617402, 516816022, 75397117, 294245877, 1052896859, 150182192, 365783757, 765291942, 981194115, 961737670, 154904159, 1012871217, 1015700470, 234487079, 799730908, 270426855, 38873098, 930126440, 547709955, 871914690, 515346617, 187960342, 707320729, 559428439, 657211682, 495595730, 110685757, 190201627, 504364698, 71861235, 285543474, 269442940, 397965051, 808278134, 893747964, 950901794, 158715496, 107201155, 793557844, 227149579, 776618053, 812110792, 93300445, 827353112, 876841212, 500873400, 819096663, 141409539, 1007280753, 900194001, 41455027, 665673845, 449956817, 913661941, 510645278, 590862526, 804605442, 987906703, 682971190, 786580251, 912066904, 741614969, 1013795355, 935295341, 375475940, 918785226, 490553803, 299120840, 518876732, 945583080, 842373304, 978229198, 667213076, 352253746, 316880914, 241185953, 44441622, 9246420, 929576903, 206462911, 627516051, 578079512, 795739860, 798182738, 543151577, 656632429, 14846042, 388667026, 657387309, 804068126, 952022186, 1070608954, 843183745, 133391328, 122857414, 819019671, 710262142, 336157802, 433078044, 387431172, 363130666, 719825179, 773401169, 423828553, 971668138, 1069967333, 500338077, 891972733, 981725827, 647913066, 181747002, 344871185, 1048905707, 881885714, 49612565, 87243065, 622991262, 989553198, 47290623, 95750763, 952851368, 988206469, 914097642, 254109815, 590850191, 345598543, 181442405, 334664564, 223086866, 910894439, 959398263, 1019937269, 613868187, 466539960, 985683013, 988401316, 359729381, 418160279, 185907971, 682038385, 80429806, 43492975, 867104179, 283219694, 1005017394, 210874129, 645342547, 540894964, 350825742, 179042666, 442775518, 986595006, 90862143, 225650112, 102335069, 746001379, 110918737, 897568289, 415085551, 981313272, 169799574, 579396899, 1055580816, 254447266, 1060079868, 1000782328, 773966830, 123410830, 277040080, 43126155, 673834997, 714916787, 229643568, 6495179, 371443172, 360849717, 238087879, 313145244, 387202470, 1025103620, 305575296, 7441604, 520830842, 879529398, 938200561, 684690541, 356993482, 102315316, 362512705, 131287175, 419603966, 378379073, 963391317, 275103435, 44906996, 908025337, 203293376, 396509038, 361273981, 778467394, 501238347, 894360593, 520042923, 119508594, 380347222, 317401968, 553404370, 448553296, 54454176, 794663827, 377299798, 935495541, 199850268, 510602174, 1035833954, 612788011, 830782535, 873477932, 835306556, 8540451, 570689228, 61345275, 1031768804, 1003765652, 68478431, 44294553, 386697508, 248413568, 376426212, 790449135, 839317599, 367696925, 1036598756, 321075489, 418186231, 440743935, 1057409986, 428990598, 644501471, 560664728, 645791544, 839527451, 750566198, 910314579, 982622239, 143032341, 541394843, 759503604, 536513784, 316873554, 54915691, 622959072, 737360880, 150845549, 793803248, 413549000, 176330744, 169253385, 884649721, 80636435, 81564990, 1010658685, 81722933, 733357912, 236263815, 297300920, 217500409, 961101230, 253723040, 517710442, 699793256, 669344655, 601915770, 638531764, 776434756, 736100901, 608547985, 721579675, 732392108, 1000079248, 56055136, 237524026, 202301848, 51495545, 66607746, 180202315, 366471500, 164098416, 21491027, 308302054, 256217011, 540621802, 932102732, 714237821, 79482380, 378355736, 925911209, 312336507, 1013351873, 442316961, 503110676, 726874343, 761153622, 966669056, 285671060, 386052834, 202851039, 421160244, 928705630, 431148360, 784496542, 76408589, 345154602, 563251369, 387992065, 848016635, 390001648, 857751220, 299488192, 906899667, 229438484, 612623801, 370173246, 981993432, 143844979, 760372572, 1072991265, 421214705, 657877202, 95513459, 171180236, 507266062, 251175305, 950817726, 1000208250, 878301486, 854614728, 696745674, 446215111, 465961897, 36994293, 498235859, 1054561440, 92357560, 866658462, 450405518, 28725481, 992755023, 603430260, 586959753, 929822094, 503509217, 246375307, 109722000, 590953277, 137360069, 434009803, 764900303, 628385806, 393705151, 272300970, 954079782, 363332997, 736719316, 740849967, 1024216240, 299316751, 917787123, 882302682, 57403113, 695105813, 424451781, 716381338, 738582907, 65354016, 940227976, 241031255, 26348637, 982947615, 845296156, 172978767, 30254364, 837975474, 440932466, 356713762, 614433849, 332481297, 984091105, 120811413, 263687006, 538493114, 728900984, 848521938, 178538080, 972975000, 425105865, 439596754, 434752845, 732571872, 456380739, 535224540, 545736716, 682169823, 191627086, 413513919, 162594666, 637915910, 408237994, 696114193, 879047584, 730085240, 23503444, 2678992, 12626424, 703304767, 229267708, 564466078, 220894306, 789212725, 675129582, 101671795, 598067409, 836383062, 217189907, 837544020, 18776212, 53800541, 486631519, 796350921, 1025213972, 209097234, 587420235, 759592326, 766903780, 491262916, 300723194, 647117001, 1063954658, 632727214, 882741281, 734281478, 334530841, 888822388, 156171746, 851134614, 664688493, 205297385, 480492667, 885317587, 674332138, 649846786, 604988897, 509878789, 985165421, 341501495, 494025848, 869697031, 655352147, 767429083, 566689492, 174946501, 59143770, 1033831056, 473821737, 248682906, 385105421, 35066402, 395465961, 320965577, 142091718, 504114430, 618698262, 419172927, 950442157, 392366137, 234638925, 1033284912, 373161789, 418236973, 561794848, 579499229, 552716596, 930493250, 118388684, 366875820, 981976539, 849190152, 695508275, 326920149, 579151891, 1046240285, 497027614, 227157481, 905453591, 963342464, 219348592, 800639293, 783210572, 947345805, 464380145, 660217420, 524969134, 829154960, 454243073, 199336226, 944017176, 29780911, 869590781, 345602042, 716121754, 760470681, 45210114, 560189466, 931324569, 851481465, 723512299, 393939390, 433770817, 507825628, 810882756, 659687148, 33321277, 775928397, 1024781129, 925571888, 698655959, 327057463, 623966568, 454746156, 57338628, 769276818, 143338043, 819877427, 390128087, 213254069, 394140730, 800662797, 809512544, 322384708, 849896793, 330703540, 715762921, 168081441, 976397368, 452325646, 267618980, 1061806613, 284139658, 312446012, 429841369, 686625054, 563127202, 822913207, 957827524, 412503138, 496929065, 943462319, 634521075, 944305343, 1015031209, 175491100, 454043820, 421234170, 744291758, 173985139, 389189669, 41771487, 847002474, 811939413, 355643491, 368105591, 881601176, 645704142, 406156076, 454825745, 577591607, 58460739, 795231268, 934069916, 94581333, 874246792, 593861482, 1065930817, 702740022, 873847018, 562604520, 317093885, 669213522, 85337904, 236858846, 968320095, 903324208, 243999451, 292531457, 24095653, 376827092, 659675640, 314417297, 433895720, 779654832, 953305979, 443325747, 236778440, 1046949904, 515829337, 769715861, 230964955, 561220817, 1042638504, 790651459, 654259615, 553389567, 515919983, 994395537, 289528117, 776245069, 25742972, 315038158, 1058984737, 950654498, 571512840, 729250693, 501765550, 15267244, 70127070, 774061224, 44006255, 945360538, 702017828, 830816738, 634974765, 337863565, 1051702019, 980790341, 579696250, 589000404, 10815723, 3729183, 290656020, 281413431, 136534262, 825899974, 535216131, 337182690, 626807041, 70503281, 815588203, 373737224, 979238905, 802480349, 43847910, 304121822, 637881323, 1009751212, 303116519, 683413442, 421680359, 367693271, 663787719, 402884488, 69911132, 951843162, 89589701, 857568049, 862466905, 299877921, 633513075, 1061840957, 944302894, 586911573, 752308261, 430598979, 225914265, 208925395, 629031623, 110134624, 412122845, 231230984, 821764386, 366741190, 772706331, 428276832, 592079519, 918789403, 436745465, 489315294, 286681504, 361356152, 55468443, 724322994, 396121167, 573216773, 356660035, 522377863, 451152527, 537088529, 52807377, 1009887816, 380036104, 110877495, 811986719, 21669736, 941648391, 32920609, 241840803, 133217296, 534382593, 943116930, 551271413, 215248308, 602854465, 467431280, 799214872, 523855150, 806689223, 177826887, 457991895, 975155583, 427158998, 704396923, 974281992, 73155449, 937091236, 959500833, 199877046, 448300926, 420847698, 83869860, 749137999, 26409579, 587492898, 978315679, 976846072, 936367633, 262095845, 395065023, 996906661, 590292574, 348263730, 263858671, 968412712, 251651897, 107036360, 571916794, 486396608, 330556921, 497980298, 507653488, 403732037, 697031822, 298394300, 635024553, 744320222, 430045502, 928907703, 626995385, 560492553, 392854220, 523309258, 612802875, 1050319400, 737987260, 517090708, 1028802852, 651693849, 728351904, 624298447, 313680085, 728984060, 607285502, 444555235, 820148686, 366685740, 711396168, 632080446, 460736716, 840958674, 205392728, 117211415, 647287402, 788651525, 58071745, 148837332, 241720626, 295103460, 1069755559, 323187914, 533164298, 396340711, 1003132144, 1019623235, 150630654, 145047777, 918967565, 388771082, 998548854, 1051944473, 42172231, 733337522, 576577533, 467764052, 205430718, 419526330, 721445315, 132198815, 274780140, 725604181, 1040073081, 268859820, 535587770, 499402566, 747078107, 761828083, 1028116531, 1014838233, 672453031, 30228700, 521268167, 775365010, 807026780, 179574504, 10969490, 816098454, 248747731, 897034824, 138134190, 417337168, 32398132, 359206537, 672193963, 742581562, 732878899, 1048706728, 60115193, 794551881, 296478106, 958387773, 1014452599, 571488343, 398278117, 862205452, 665466805, 216214949, 987450621, 894602079, 736373882, 240253120, 583782022, 144212432, 986011177, 596443155, 835080688, 647127944, 412513817, 456418061, 93682830, 742162961, 705724888, 366327759, 156855873, 856533826, 255080801, 50034996, 347635785, 48744029, 175601658, 588515719, 458716257, 613586291, 789015217, 860901004, 3580364, 680616428, 860367393, 584557834, 963834440, 773920127, 902574304, 395802958, 1042560729, 679250803, 787077052, 306028481, 777737206, 791836961, 1008693359, 663970320, 464614659, 105976957, 508652079, 327683095, 621908016, 314358228, 701177581, 965171623, 988866706, 34776338, 422402699, 372723699, 378983366, 991572350, 547937821, 693965519, 750571851, 653207524, 987250682, 659962826, 741928770, 318448217, 285521552, 631681404, 509638716, 141899447, 815092725, 644144406, 70769191, 566384041, 664997315, 373659665, 60316991, 832515501, 461870852, 719802710, 506969977, 713604535, 5314365, 322716271, 357801852, 725312207, 678315329, 247241110, 969522006, 118680987, 539311832, 558259015, 792933591, 296347374, 55176120, 74008699, 181948901, 361818286, 624529603, 183688676, 164028204, 131208102, 611138466, 275262840, 95687945, 228918617, 896679408, 609838464, 173576250, 343642575, 79636108, 57859911, 515272622, 871216487, 789567745, 194007366, 967246035, 533313209, 735852444, 152936304, 408347924, 5708529, 8256630, 849075182, 395923808, 340196127, 374044338, 396668729, 968950462, 655782316, 392171692, 634849404, 407583203, 107884679, 353285421, 889014843, 495134710, 894323758, 287770679, 52363560, 512838327, 226523952, 41255563, 970881335, 923251209, 56911038, 1047969459, 977594774, 62544231, 804071475, 539969309, 174386340, 1005737293, 282294146, 212166623, 139447117, 1002834452, 673549838, 911094451, 554713355, 42972296, 201980092, 407406051, 404517705, 944907503, 271561427, 911509480, 28240850, 689793703, 747981015, 321396268, 199796297, 921740145, 566960999, 964710751, 161963189, 79322292, 13316246, 91736790, 515530130, 686798689, 204225243, 781185545, 539419378, 784309287, 695480967, 763844451, 662166054, 45588111, 42470572, 859149403, 339759418, 180607124, 758675573, 631503719, 188598574, 711576206, 824869240, 37539951, 124496161, 421769561, 789714693, 475274729, 548915147, 523472273, 320088644, 444533160, 241693543, 519753391, 989151226, 877655011, 82026067, 217078216, 936961786, 742219661, 325993600, 693041538, 781230254, 1006604717, 207222246, 546738289, 281654724, 92356368, 196498438, 781260972, 650268981, 785190849, 289520570, 743098373, 115139807, 519798790, 676156082, 293870808, 772103036, 733364489, 167173700, 274439015, 1071152992, 311279481, 217551202, 661524405, 343214219, 372510521, 246134174, 421550144, 534854427, 965670791, 849262001, 630836091, 45554104, 939354795, 249827773, 323256132, 863233610, 190871276, 913500257, 535660493, 308367830, 669882507, 84189274, 791290072, 863251075, 639595912, 29911350, 798535822, 885611403, 520640636, 632724238, 953503810, 1008227682, 276840268, 1004564773, 960273817, 156913438, 800680016, 387416272, 835614472, 304253522, 859191676, 704406512, 364213640, 382225390, 988834574, 158188107, 705226008, 321247943, 585052163, 11440566, 30828277, 735024150, 573074791, 121511296, 676976921, 356872131, 314895642, 1054698312, 867441884, 1047167930, 221587498, 915360754, 419270549, 829722861, 653769360, 353343452, 1001561735, 750641296, 370343581, 973148291, 1013767082, 364637638, 274475236, 664335919, 45771914, 721154102, 332549576, 481447156, 680801296, 339607879, 43449291, 161180224, 641135029, 1069739904, 701860034, 895304561, 556336114, 931510657, 528113871, 75560247, 102547086, 907133506, 1023599585, 126666427, 727334360, 961421153, 15193710, 830728081, 81119273, 190182019, 864912165, 997203248, 410116777, 788295002, 1047260517, 326832675, 15753255, 450176433, 1030028441, 812261920, 841857376, 927255271, 688121180, 422605099, 66521517, 715267255, 583833071, 379403430, 1034519933, 1049900450, 64744977, 710628415, 720436229, 686187624, 823296348, 983734370, 245940006, 1065650873, 60823872, 1043140421, 1019185803, 228246977, 248234786, 440144929, 1056979272, 172243292, 1010089392, 1030434452, 210007719, 26279109, 94795889, 380892876, 303543017, 660330536, 53017176, 526056899, 616337926, 617506500, 853589998, 464190034, 990698322, 214546567, 63605154, 422671683, 28613147, 288198441, 557429088, 1039827737, 573340828, 911737159, 411359053, 419795362, 941882217, 54402383, 1071048910, 593201010, 1013250771, 294790664, 923030972, 910919472, 290962554, 125223607, 192119408, 732262993, 966874999, 529863145, 399140660, 75639769, 490944646, 603806961, 418424459, 121408708, 872487012, 311115381, 157504643, 576111259, 359734270, 916620652, 908929819, 343082754, 874008171, 683148597, 21129539, 549639306, 959108446, 314971907, 209636874, 1037240640, 868368582, 257485844, 820963539, 613363448, 479858609, 723773868, 718422046, 635007379, 76264783, 743234916, 1033275050, 533990195, 476505990, 791249665, 962362565, 398230663, 534140850, 535997815, 264308220, 8737003, 37374290, 119619568, 995031383, 290208236, 201189024, 41515007, 497028109, 775591673, 531152681, 598073021, 226117528, 866094025, 1038583819, 448876036, 389400827, 917745659, 53526708, 33242093, 592237064, 861384001, 520777388, 594555993, 1000651568, 203681854, 729586794, 647856908, 462306199, 93595449, 922023746, 651422444, 846789555, 217342157, 509550547, 889525760, 643357547, 281423343, 977803049, 263808425, 658314467, 320541756, 353921846, 685043426, 173925655, 197896007, 1017497057, 550293243, 890355844, 767211969, 1026288930, 410327498, 242404685, 974111168, 302978783, 647952107, 955313960, 811393412, 194881752, 335589868, 792389910, 321044807, 862899392, 17706835, 884590577, 353553622, 798560666, 715296166, 635410683, 738814176, 910958955, 458430931, 100321383, 340146960, 282152519, 454020102, 357991584, 6565530, 280855797, 158493894, 593847827, 816448220, 34043019, 882053780, 958594835, 1072323277, 726534072, 50110805, 271962524, 842638785, 114772690, 184497637, 780086045, 127607759, 570346441, 463600416, 270678520, 437423541, 924239373, 989477179, 220898949, 839408630, 407043839, 771054650, 978026604, 527064168, 752982540, 643108911, 977535560, 296918329, 721644674, 958107490, 180573059, 403890725, 1016461757, 727031226, 1033126333, 359269028, 312912112, 566043983, 277345972, 430405132, 807978318, 713553952, 827193220, 377574456, 494121174, 91377439, 839979055, 284777733, 573161655, 1040412933, 818001809, 1063055078, 449006975, 228510666, 428476866, 436222873, 526880274, 22073051, 817776968, 925499227, 734422415, 133121690, 341185006, 869632710, 935846996, 113776622, 936587433, 798907188, 811337183, 995803407, 706430078, 54477646, 545114670, 935355953, 230980752, 786440281, 597469934, 1015115657, 311874829, 69064247, 1028364757, 987794068, 452626993, 972397134, 739474904, 480594166, 527095639, 32333079, 470582772, 684967321, 677975603, 422847966, 681229955, 1006377834, 826759041, 653319027, 188041466, 876965929, 603935007, 453196774, 105180509, 10866107, 97360586, 86104842, 597923821, 191932483, 588634426, 650533372, 319650382, 129807214, 403458170, 513297268, 633671891, 264273776, 302168187, 774820177, 1029363220, 567056275, 164741248, 880054371, 64946052, 2754662, 74810764, 325510509, 296892025, 823005763, 322239623, 273769578, 676867760, 463113742, 526609920, 100052876, 357118716, 828802617, 463157363, 501075330, 679333619, 170923781, 202586803, 684290588, 893482238, 609248380, 52604391, 1057808642, 1066706908, 628352615, 978256442, 308940707, 1010470814, 452667519, 842365719, 137016307, 964525399, 53175847, 459484873, 444377606, 101755394, 378919445, 478438186, 301248054, 899867438, 1055149570, 368273334, 761556526, 433519437, 320659205, 941866892, 171397853, 749069732, 591282290, 912023531, 240065233, 87972137, 539394740, 95445504, 81476382, 882657106, 139896634, 882675741, 695303853, 175877052, 432396454, 669794221, 641451524, 678112721, 923525854, 919516517, 386529062, 125979258, 1016418429, 246474849, 781585353, 920401377, 781421095, 631412581, 793072332, 478169506, 968763345, 231739402, 975371319, 994792075, 127555289, 880962967, 432837526, 1014930738, 2866886, 912183770, 39727383, 450111896, 538882668, 250746446, 971515196, 48622826, 176201380, 22643715, 43823854, 412174103, 650242997, 681884312, 260705884, 323822828, 164874508, 631237863, 994552945, 998359873, 310157052, 891139364, 17884641, 27006768, 455816546, 172319880, 585717807, 891640669, 75511343, 851149792, 440925115, 702865308, 965894901, 724222977, 403395633, 595068852, 378326500, 908507141, 343571979, 288410878, 219416280, 340140672, 822382448, 720712569, 458860196, 848591134, 939292219, 595126738, 844205970, 866312492, 571322635, 257488289, 505353359, 231006238, 83696574, 120067830, 326389694, 894578291, 288602652, 902031024, 205927511, 548008829, 877843487, 73605348, 978459418, 623209756, 539955027, 294912069, 408579772, 871370309, 469987207, 459890490, 612703504, 515169490, 1009956296, 911657310, 67632373, 30973511, 413932555, 101616590, 1065856410, 1027958081, 73257335, 24495956, 460336829, 494185854, 705546800, 577379831, 189715019, 821015703, 949273075, 351260440, 410563886, 192464751, 229925097, 445103454, 245120202, 630945954, 735579896, 663429147, 721254748, 1011985117, 115064246, 104506567, 672114767, 69820939, 937025881, 768771017, 969953090, 765580171, 194006556, 489994857, 488603789, 211150932, 293091385, 214645808, 802004907, 1066601698, 540074504, 970976440, 549031374, 728865849, 923573246, 306555095, 538238878, 628057081, 968966216, 1055859287, 414370409, 108477584, 801272908, 421681025, 998956711, 785723625, 658053540, 543149650, 180573204, 388411078, 685925581, 428635126, 148963623, 189799160, 60827755, 697277917, 265694526, 30488637, 14789220, 201914533, 1058404441, 326183115, 709142795, 70423343, 299270804, 731864739, 286576266, 291916012, 27136541, 1062372001, 954615034, 656112470, 1044965931, 127229992, 605748175, 616717581, 35254780, 315375469, 538302391, 869373249, 433508790, 849307665, 141116668, 948871093, 839097263, 585869102, 633725189, 115724983, 502193295, 357635899, 356989248, 820865775, 590974281, 711917505, 755817325, 578164913, 947947582, 735744521, 1024380868, 677881846, 5754755, 719885541, 682138831, 434149515, 120613064, 503757713, 698890649, 792378018, 615363459, 615486493, 172309260, 713782169, 64655768, 546415181, 493849850, 534821802, 694862801, 702048441, 283739730, 813894534, 572371366, 588370047, 895573191, 866049277, 971073189, 186307729, 437978034, 44853505, 954467858, 159716419, 647167069, 423867652, 595231010, 114171794, 851910108, 92648472, 801958726, 330083400, 139304865, 148412896, 345141247, 792126522, 730782892, 466572019, 432461353, 337162310, 540624043, 503991761, 561692559, 1013319745, 160140515, 113646865, 288825196, 166296182, 559476340, 364037692, 850230070, 848948979, 993200715, 232958126, 859048505, 88760269, 9699312, 112664680, 554315076, 989930319, 1001792486, 467233766, 835693060, 23193370, 1045141702, 13894651, 733960206, 965816556, 950407070, 489998652, 787270127, 454738273, 920843813, 847145407, 29152534, 3136388, 806296296, 309339249, 769517760, 424367452, 263365282, 242770303, 332514510, 163438213, 792414047, 793210013, 638369120, 470342837, 25715596, 344409338, 459794698, 812000414, 438759952, 141875544, 548788024, 875362582, 529215708, 56491353, 816264967, 203044097, 350507328, 356516741, 993677658, 142015009, 634745636, 299220486, 89046594, 366991354, 7601330, 830025798, 316905070, 109758141, 618080743, 432823368, 793163969, 216137748, 23749914, 178060903, 897303493, 156441440, 805133427, 92477720, 963691542, 615767006, 859444390, 90167393, 209079457, 578392321, 1013804567, 663919553, 827408484, 396088192, 874497113, 936793058, 1064790897, 295426878, 978785974, 793672307, 999651574, 528534626, 321372231, 822067288, 461739231, 402385850, 1057114549, 504262845, 829858326, 355175925, 16153294, 729835005, 14458931, 109954069, 735014268, 639107010, 689022942, 446768715, 666356277, 767961726, 310625397, 955715649, 318860491, 145743492, 860911697, 636031148, 766449561, 470400407, 264146201, 490101279, 41410745, 512715789, 616745062, 788540772, 305452614, 90208575, 188941440, 109981704, 273897803, 278009785, 981918641, 274674236, 418206323, 389999251, 818331887, 94054053, 457401827, 436727516, 1073446212, 473440019, 787809152, 797040592, 99845589, 838116899, 621137321, 201520374, 53713404, 602926196, 376099785, 648842402, 507042948, 1009902642, 783741888, 544907654, 25778937, 640577477, 363566079, 346706848, 554825233, 846001301, 908282540, 869785435, 1033835671, 506224168, 542826745, 718009102, 296412175, 907599734, 522554149, 395959824, 335886623, 464097537, 416808698, 465205455, 1071596305, 55883899, 149911530, 805586082, 1070407444, 598645088, 836789353, 493641007, 408058408, 970702479, 482092369, 194640007, 951795491, 1001577887, 276907762, 313423282, 501069550, 650020554, 760738141, 286106629, 265291752, 621932642, 953607190, 208369151, 592566665, 959758548, 776840504, 206947623, 1037069698, 811831074, 561647213, 506729055, 914489679, 496155687, 1011293516, 432324017, 1022129968, 979643427, 473398677, 234612919, 42012754, 941255535, 639765031, 214738590, 251580448, 74070217, 739411241, 917627193, 131870477, 219322835, 263272069, 634401117, 1052539771, 389554546, 32167480, 386355790, 610666436, 176257111, 485077774, 85922901, 347403213, 366226527, 124131448, 186285763, 138530341, 680863273, 218539455, 431777897, 398509443, 470178346, 737358484, 923124375, 828028367, 697005827, 682461052, 551127176, 374180939, 688937519, 244054578, 927466367, 388240480, 836561093, 229066282, 662061009, 705551340, 692489339, 240373595, 775961907, 1017176183, 197305953, 104585250, 651061567, 797374196, 121468389, 35509902, 590378259, 60922912, 614284343, 420202290, 254508413, 78564874, 463511741, 404601063, 550683345, 547206600, 1023009016, 547696237, 580682105, 202242658, 27308081, 73877977, 711826326, 572005087, 1015160061, 964101448, 367148295, 215596615, 807117573, 480412530, 431602205, 788812526, 918369771, 674010372, 368541661, 519510298, 551631761, 672670519, 580828770, 230493482, 462626468, 709998646, 79577823, 134496086, 720883853, 35989358, 741016863, 857303980, 545422817, 443981265, 178397325, 353319690, 700241468, 277709581, 636200315, 806866740, 36372632, 249235530, 566192290, 654359130, 714237260, 1006789127, 902812955, 964963404, 6594688, 646391225, 651308401, 633125685, 312437769, 242739946, 215260758, 518936124, 94624114, 743261377, 62669165, 717305938, 151322075, 33603134, 69857477, 654881541, 860632134, 959874889, 186643240, 721596452, 675059377, 501529785, 339969851, 711431323, 505611685, 131448791, 103264607, 545619523, 946648590, 164953311, 846723271, 877715738, 54985311, 253706228, 514286054, 866594180, 969853585, 135745954, 561175914, 797838377, 34385708, 360502707, 397439657, 715213524, 1039670632, 655417589, 66688693, 786090814, 656560479, 681963004, 1013658518, 82638905, 423797680, 655942721, 871117996, 611765095, 245239910, 645419234, 195204407, 626012954, 492412003, 993823218, 400899583, 634382442, 358542103, 1004344738, 582691166, 99758045, 465434093, 973975368, 97237053, 549845916, 543324257, 824147610, 1000377715, 166759691, 160613651, 1008338325, 539499992, 963284191, 831912739, 98004391, 330417935, 48409827, 651022056, 328932322, 84387297, 432961665, 415074118, 810954521, 941226385, 894639603, 599342492, 68159537, 912519494, 140484409, 284239641, 598090105, 252783370, 909298152, 871607518, 310926641, 560413075, 822002518, 193774581, 597599282, 421414299, 770325129, 1037850578, 1039543555, 884224354, 799718625, 208177856, 312967639, 173947533, 1000856615, 1045605946, 738853985, 848930388, 848359029, 985538944, 722971122, 209743290, 475894274, 27130038, 457799912, 748705271, 86811544, 305395251, 811653396, 75752457, 579979697, 1032255383, 226643077, 429907895, 51933035, 908009817, 338566343, 974474397, 626611938, 324340901, 819853122, 848234367, 106296605, 1044985858, 201149211, 207563493, 765388031, 756544219, 494681903, 1052730816, 539353624, 5631910, 628359131, 247037240, 756136901, 649231598, 893095093, 804740809, 856308244, 1072369967, 573088938, 552075752, 135725129, 609302845, 616325880, 653048602, 367321649, 957422347, 38408233, 390744614, 20946460, 353517273, 880455152, 59994848, 787751169, 824937742, 536680727, 673982301, 132187126, 727445050, 627232573, 37795793, 416977823, 315477717, 510937230, 703126943, 269370393, 167029032, 336739502, 805642147, 279964670, 199217791, 839501391, 74389998, 273902405, 536209397, 112159864, 3591470, 561864986, 908577401, 896355624, 177260937, 156425273, 272682627, 62239361, 1034561935, 317833348, 230224552, 804202528, 984288275, 746992574, 248414758, 442881414, 7859512, 1046590377, 52743940, 287752047, 3521615, 594793340, 472408300, 835669690, 238617113, 567878093, 749585917, 578220781, 551795578, 1027891862, 319680141, 386554225, 895443609, 854758251, 831055855, 198061653, 461125741, 722995736, 35767850, 691184826, 933771126, 748037093, 692913821, 386250288, 277734700, 953007603, 890495763, 959051783, 30504368, 193590969, 47469787, 1067717591, 81088172, 300264059, 971813251, 924998665, 407899051, 638511348, 1014458732, 1073414848, 840498046, 506064180, 206509694, 730336801, 682309134, 771617357, 267657805, 494580427, 567856394, 146936639, 32013329, 94679052, 991481581, 455429805, 624131819, 427081802, 1059403914, 900946264, 1054649081, 396911104, 35429328, 245770237, 390480878, 130576049, 340778920, 955851790, 700640819, 894305361, 774205982, 579568779, 925554474, 371967529, 238396805, 944014909, 808105598, 536332847, 24750646, 1145217, 479550297, 255827466, 524837377, 876828661, 457812828, 1050271911, 537333305, 857295919, 242925515, 578573933, 646292794, 152925282, 1014247277, 116933359, 1008715037, 621664847, 581652792, 798393514, 238314020, 311319533, 30248145, 885520281, 879744663, 753972696, 202484886, 789313732, 835271095, 161460490, 782661992, 370024685, 393210881, 370614266, 24269130, 309918781, 560040104, 364463284, 1054582708, 962164177, 652810067, 509443877, 615616857, 184061794, 986842986, 456887357, 178705887, 298817875, 95494993, 628232746, 279656825, 731893268, 84971585, 366391053, 466161268, 551781519, 109946158, 731426694, 961677189, 631539989, 1048952027, 111754055, 677294347, 167686648, 225522146, 526018250, 432434813, 579175318, 223921891, 298933902, 995458839, 715363297, 504323228, 646936336, 455280418, 218604560, 277070355, 978489059, 994246726, 956874024, 722477530, 136862213, 673532329, 1050160698, 975334135, 210838265, 952532860, 767355625, 896581946, 589821623, 866351280, 618294010, 236889673, 180909025, 544501168, 857506105, 735556853, 72599202, 187471777, 541562358, 1005243898, 108674077, 384312035, 682771363, 306113001, 719307589, 1004057116, 584320884, 911637290, 744233636, 1017331038, 980867455, 234684946, 356322392, 309124538, 307356759, 571643929, 648887908, 493517958, 605535673, 653903779, 845660171, 477385832, 821063937, 123551036, 86463522, 464347946, 1039070747, 515119469, 985635381, 1022989665, 591868616, 184778754, 393849151, 258989174, 203689193, 810895444, 909367725, 236707657, 418690525, 87900073, 737731107, 850779574, 752178525, 823879305, 131279001, 281957900, 345429063, 108833675, 272545549, 712393250, 592769233, 942548790, 625507075, 685925389, 568621719, 665971804, 218860880, 563980742, 43395024, 606182185, 315941993, 359737632, 652638634, 863163939, 889760300, 736521162, 697818821, 259729078, 873807554, 428055063, 476526472, 797258339, 860858445, 266598199, 764428375, 940671713, 630673458, 72887000, 447170318, 1005864437, 589071553, 1053641499, 515587493, 228157765, 557834914, 505180772, 635512859, 59883286, 184195316, 874574477, 487739361, 372923552, 156793773, 656369042, 1001993405, 731153846, 10403387, 892905651, 540025143, 109844029, 252793339, 110957594, 598721298, 991820790, 436240665, 495149605, 574785073, 581220634, 962327634, 381159418, 413124767, 496210436, 161555767, 492801405, 804465189, 122563148, 485315342, 489567864, 695404445, 917603535, 198000591, 977870979, 399849026, 363429397, 797029537, 244651291, 115410236, 230765016, 279090431, 107864737, 222918302, 199983874, 947666521, 635405513, 380538725, 818481706, 236075607, 912549668, 690844680, 891301371, 874947930, 823141501, 198889581, 678997003, 342727842, 1000027550, 546756695, 248865665, 522309433, 429538677, 270039268, 220767121, 111297573, 243346299, 157677258, 1035995741, 482875653, 297991051, 810579543, 203948137, 990544091, 205002043, 992812338, 340542988, 498329586, 1045279335, 427325224, 244396813, 447889320, 386233646, 265012760, 925486185, 631403414, 176597006, 138880613, 502702073, 428941395, 443582566, 318584971, 642330032, 875048486, 80837146, 677163855, 1034987151, 335588198, 350095927, 911934364, 39311136, 783719075, 903952563, 188612714, 953267283, 349915281, 191636036, 900415303, 793026765, 718524257, 694707304, 611775166, 369607284, 943435466, 627634089, 122084140, 683402877, 476166412, 58166874, 724642781, 1011315387, 168238391, 854547060, 55558525, 651695589, 658397494, 738958680, 743778612, 909011813, 353700402, 689557575, 126271874, 2071682, 884151465, 514414909, 806252847, 236864862, 958797733, 751629194, 120403058, 880403267, 517280882, 220844032, 444806954, 283098001, 189584852, 52851566, 467171615, 603038632, 935960273, 415728113, 491542345, 511879030, 429918876, 67355990, 908265232, 979382381, 752969226, 899912311, 209903475, 301395390, 519455803, 899480401, 399324490, 382274633, 833928926, 919401638, 568371743, 437509852, 1044838822, 607016119, 421846304, 383568606, 712039384, 358400298, 1008535781, 1062986901, 91521579, 350112041, 473735393, 525447468, 646171614, 516873096, 1059538851, 771176394, 869983598, 30515487, 788377058, 890929796, 545436009, 857293173, 736249989, 1056296917, 487952575, 155503107, 630581278, 87600912, 4970311, 1041266245, 1053619431, 619381642, 735971257, 995475480, 503337156, 599414307, 712158491, 384344060, 541700527, 983254084, 851837040, 295888645, 357732948, 752011350, 635296335, 1052950423, 32065039, 551151341, 229178513, 498448086, 422405704, 620802782, 842800055, 782323919, 291236213, 794420202, 1019708205, 203785385, 986454988, 598322855, 566112151, 87340964, 714524338, 723221787, 367505202, 626443572, 515784126, 705516369, 654078462, 810294485, 676812848, 870063750, 634351408, 376570324, 564909740, 1056221391, 838199520, 288210786, 106454960, 206695332, 544789615, 492671996, 412041993, 216322280, 878183756, 403337443, 291520181, 696308277, 872964217, 35226359, 621995024, 356890447, 915121547, 80056705, 850733001, 943595040, 977141801, 1047864292, 267260491, 239215328, 824868810, 733127107, 736438286, 169931950, 667295836, 855297356, 656620984, 511438726, 857772430, 905795703, 15290123, 1068819526, 954440088, 2818910, 735314619, 756493399, 1073544961, 964477765, 148673149, 306239371, 1039006895, 920408408, 721961163, 776701147, 809375467, 203564883, 49656400, 95681983, 282629029, 509492349, 935293005, 659044046, 851034297, 945026229, 397656119, 978694257, 548487419, 737714622, 873816118, 435635426, 1031873453, 1008449936, 222098493, 678675933, 326722685, 313341478, 933195881, 582872389, 975979944, 501275876, 771644979, 336409336, 921252105, 616675678, 747323373, 491291550, 655434058, 780920927, 942445277, 297043773, 882178612, 1061956820, 102442689, 830083187, 786277191, 790892339, 150353808, 879152470, 764217224, 453129633, 256403111, 706203652, 111925966, 403069250, 857587938, 162722912, 954288916, 164752807, 761805953, 601786300, 166162944, 584872259, 59378205, 969297892, 449131973, 178363755, 605466353, 211581030, 784169575, 505747629, 159532258, 305937662, 575950229, 915980995, 465751162, 936915432, 1050319081, 846828178, 458421432, 918186579, 774130301, 861298617, 1033126376, 979524259, 1031336547, 839849858, 359698516, 335251020, 1024050696, 3826537, 1070937152, 126383707, 98548869, 873558516, 370473874, 233100169, 527429930, 638882256, 863736489, 785285549, 838286956, 351923360, 403287122, 723497324, 815506146, 253653677, 842758162, 57814175, 995709563, 602057828, 839357540, 565809852, 1055037963, 125405265, 960561588, 267474250, 151611718, 1002514522, 967564036, 234466823, 931830657, 775569058, 270619426, 505566310, 257524239, 719000226, 753905893, 536645551, 291538124, 1001210643, 328770905, 735140575, 410137002, 190505241, 299392201, 903346647, 968781568, 1007539815, 617818487, 469338751, 699950587, 324449923, 38579945, 929748361, 705975477, 838650771, 737122464, 502202206, 501017568, 758768776, 436936186, 933109548, 594251920, 674285581, 993727937, 888701108, 937117844, 28573090, 357070514, 415576257, 614348576, 408881571, 951798666, 948434001, 415309065, 454499747, 498498013, 771023247, 15160397, 739392320, 273730556, 415890286, 546985161, 780096823, 114103768, 864308462, 850501602, 696955666, 201064966, 970378245, 911385978, 883779843, 98517892, 65617790, 795181304, 695411020, 65833119, 591080385, 946959132, 686833311, 827927240, 987833861, 575985297, 255535673, 449806948, 713737865, 601461530, 318886579, 484217859, 29170484, 210511788, 9134239, 527933579, 32943284, 689335707, 469025291, 936333212, 925132586, 578562714, 265120835, 585606219, 940894942, 574951732, 586249826, 175749918, 955501634, 67861920, 214472095, 83528116, 497802043, 166917569, 640079188, 737039344, 649711285, 198581368, 392063653, 525173450, 899300999, 817434708, 457758600, 396715472, 1008973453, 494600287, 833442972, 448366382, 583043503, 154443256, 70035835, 701661041, 843614332, 451554353, 932517210, 156764985, 923780177, 485798601, 177416093, 811415165, 587434693, 406163726, 45368830, 901838161, 707635854, 124259958, 89352194, 390806710, 902858976, 331220462, 495368466, 87972280, 381176663, 302579150, 146181251, 427062081, 123284809, 293898625, 595169968, 70324539, 856864166, 168101891, 734062968, 872100680, 881336787, 680571298, 72765747, 112294571, 14133079, 885586318, 858850411, 846136685, 1008564878, 45939873, 158674313, 72505717, 769717969, 897434533, 890372816, 569092441, 161159536, 510099503, 968174523, 151078215, 520068022, 155086217, 555259043, 367145868, 838074535, 711727216, 740755500, 249709933, 256598259, 696798358, 68835977, 5818364, 305212248, 405922418, 630308119, 1028312846, 646442610, 205267170, 769528690, 278805318, 1013478043, 607616344, 183215799, 617224567, 753976379, 713852812, 534212305, 307209374, 647710292, 1047470912, 983229561, 656731212, 235140061, 465329406, 394639727, 292528271, 295379286, 600607947, 115312270, 1028732307, 946186263, 692700595, 580672622, 1015653171, 434259876, 138425946, 924441020, 990120803, 897700002, 888216905, 99134741, 261710752, 465028480, 1058792766, 387695081, 783907258, 936015363, 378845191, 658984340, 702315205, 94275611, 944468683, 806003965, 707375759, 62480888, 361556078, 961417062, 560120689, 124558434, 610218260, 977224793, 640270406, 72353595, 87083754, 764255740, 1052087679, 947036174, 758803653, 51399104, 754308026, 889098271, 463616642, 821671316, 305971330, 200104984, 881178250, 1006795191, 795748822, 692633444, 398766276, 764367004, 380261363, 313846069, 249835933, 86314542, 123842424, 74575937, 337126773, 835551115, 969668544, 491732941, 519786646, 295884868, 591376137, 770440679, 662297067, 963056697, 524138539, 59149694, 754044761, 426999517, 175326429, 604266331, 264564341, 838290987, 459858720, 90190519, 780080984, 389373020, 211786703, 114943593, 499921776, 708763249, 888059243, 823440652, 190029961, 432634385, 383008013, 253329557, 709619837, 1017474221, 969501048, 932078024, 995692425, 175540100, 148581285, 244380741, 915666762, 716542982, 819432291, 844717046, 237811514, 727774338, 639335160, 571084527, 512459087, 269570513, 262258681, 24052324, 349786023, 26028554, 844236111, 70202693, 396614004, 359953725, 140696882, 219055458, 622038265, 1037419095, 586083220, 773842255, 192042499, 629872375, 305606164, 940411227, 624926881, 796265861, 384277364, 337974456, 662963566, 623565665, 1004332355, 130745309, 633646206, 220598005, 33038775, 454444413, 1004297125, 503722589, 845211513, 660043548, 126436327, 808118190, 102008815, 96549221, 112031628, 370184231, 872775380, 2841920, 355523324, 795056855, 850547074, 584527226, 286351611, 171966751, 931993331, 72438826, 733950953, 702484405, 390737433, 377198418, 724780014, 876297944, 129094255, 134738161, 631406174, 466970825, 650934790, 845916782, 453959150, 848434300, 63586468, 483934579, 889712244, 154922759, 731355531, 991896912, 660719502, 287512860, 327252333, 402068587, 688275234, 380705712, 818115849, 383176484, 774173485, 1021721819, 1054478133, 424394312, 470034176, 477967218, 928002274, 554495404, 712763339, 132055308, 498856075, 909376369, 523448788, 832871714, 582060870, 908022532, 320583737, 1015911648, 708090056, 413229724, 905512098, 689404643, 892506664, 767535541, 263668101, 1011408085, 1035442635, 364365976, 714753299, 50251360, 353175402, 431495537, 831111863, 512713827, 655391701, 1072969790, 820377984, 404841975, 689291607, 219118194, 84829299, 357480768, 793295253, 684540836, 1016650809, 202460374, 440902422, 305748291, 962024564, 282348286, 1000091455, 345887341, 693206931, 699174983, 506058577, 903560051, 669748270, 518210433, 63032206, 813338376, 877168782, 368782549, 110369362, 271383364, 991548355, 417035547, 327523883, 278202138, 64431985, 189269454, 57406167, 254671559, 177057509, 885070575, 406271528, 443873933, 161279930, 756455497, 91415332, 705086443, 967757796, 761126905, 766699371, 600770399, 350151824, 566461863, 509497021, 203981464, 631265304, 171086801, 995783481, 70723184, 624906158, 845736440, 988715897, 550693718, 115420658, 976991002, 98532685, 775272884, 1072455865, 709445083, 816840820, 517370834, 611761748, 247774595, 394904989, 41239992, 425566693, 945538781, 901196443, 232647759, 947864970, 674100888, 787481319, 33273961, 680174501, 671710196, 534357887, 616152243, 333204801, 280285307, 772127995, 556920318, 690515193, 314254773, 694008909, 193566655, 150654053, 231534277, 859466920, 474614268, 747790663, 364056634, 499355113, 837862803, 902338600, 251055934, 519561790, 761684962, 662330412, 183164857, 822640088, 980735211, 841455497, 356451241, 799575310, 575773461, 806789253, 670611705, 1027014845, 529553655, 654627140, 234454249, 110335611, 991686622, 361112053, 569755315, 697461417, 1057790552, 525858546, 560935251, 74377035, 590139300, 19758353, 693931502, 1010404282, 33212535, 925068881, 719076603, 607745871, 683456958, 184454265, 379892467, 666234539, 1041990767, 452205808, 468140727, 535123849, 1033080763, 349620698, 202706306, 1067496892, 1003775940, 145008862, 736708957, 729784074, 538517633, 445371170, 554094879, 820711056, 465998501, 141873025, 294905950, 326089375, 63099490, 405101519, 675292597, 643288397, 509237778, 882736744, 513567965, 360679675, 89186587, 406832125, 209041415, 957373345, 94850720, 155419345, 27775599, 16314894, 908629460, 967123323, 13962577, 463826055, 414383456, 1018151770, 723225653, 639923572, 895597796, 658608448, 30813655, 271373003, 796882125, 750918985, 244084536, 157665728, 586340497, 800214487, 526760609, 606864277, 382211731, 25513862, 400116959, 480607637, 609925497, 383013330, 106671184, 606266936, 286866806, 295647570, 926403769, 250587886, 79485996, 868356052, 731762369, 27352640, 312922072, 400052754, 21722574, 229611317, 309104608, 1013164902, 526083687, 321267546, 574282890, 701577415, 302672969, 451806811, 522883909, 803090541, 858405671, 838336443, 1054967904, 238019734, 313359037, 387218739, 460756258, 134464790, 125571471, 709460013, 361646357, 477998189, 97780762, 550931146, 262577313, 505942037, 253061343, 630601765, 1573896, 148217033, 492415978, 513184564, 640745225, 269169807, 592663998, 799198731, 794966890, 302676879, 36301634, 454801823, 776532748, 508834373, 284335971, 919470134, 464075332, 29627078, 151449173, 95561761, 253603847, 1006421372, 452059461, 927654170, 186854770, 370690537, 614349890, 502870444, 167012761, 7216291, 526722529, 81012906, 39315974, 793727064, 162383735, 761147139, 133320870, 623780995, 882128693, 342144356, 891850223, 923083068, 29960791, 156350809, 757780509, 224279947, 658565853, 937535584, 782298489, 755334315, 438868321, 286335868, 437329434, 23189537, 804861294, 188495716, 999138624, 1034398281, 242738778, 754317791, 1047728438, 347831500, 435469442, 248003825, 62740176, 755779479, 541011117, 720530509, 909087164, 831232850, 859956014, 678549303, 335566970, 334591334, 95082130, 555635290, 1016223228, 1073275421, 200657019, 337499401, 537658813, 876924288, 976927608, 499180332, 332906660, 178882764, 779786077, 24346444, 926884489, 763141916, 457782413, 493407571, 891799697, 707399708, 19047806, 35765649, 560522217, 646167838, 63021985, 746272768, 82725677, 734990429, 249909161, 492830425, 256408971, 298936133, 112321362, 304212177, 248464917, 488884253, 224113011, 80918448, 889371633, 881616616, 1072322045, 348806039, 219568647, 877243688, 655527095, 693864593, 959438983, 788217593, 116080867, 569937463, 530233587, 793634482, 862914596, 1054697177, 604724873, 697761466, 415097304, 1065027546, 373179305, 157147310, 874255167, 360276115, 445959376, 12632454, 285396822, 353086209, 1040593150, 392542937, 758010967, 617745148, 895312618, 33511504, 274907400, 443764993, 62777090, 371619863, 17466951, 703918010, 543463571, 781202893, 472772423, 51456123, 289805432, 461353813, 802411645, 231341776, 79889117, 732502492, 175663115, 735958597, 31642269, 945854523, 163732828, 1038332880, 889573564, 29359361, 976811762, 902673707, 811399241, 450937074, 540163582, 636674434, 792002050, 86493499, 331004289, 512722112, 609502085, 743327051, 257674270, 739233582, 270135725, 52707793, 668129125, 369314466, 615100627, 413765404, 1040018358, 80107836, 673120643, 751780326, 768242877, 88216731, 207716425, 303625611, 928678059, 269875921, 644754985, 1003338698, 1037306015, 358138103, 123190144, 251038365, 173273666, 476688559, 725212104, 971277548, 609351143, 183749471, 897385394, 39700733, 858290666, 203115965, 919289711, 377620944, 278630058, 526491040, 313278762, 686439506, 409435874, 696655383, 790728014, 67173477, 808946344, 117459038, 903664330, 854366685, 925475287, 739596202, 336733775, 297775603, 581462553, 286723531, 409497481, 457893095, 32336395, 895888176, 977749220, 482501615, 717929398, 39621653, 986325579, 443204883, 899538708, 178543983, 344439455, 190910532, 951540268, 343593624, 577230882, 356009604, 382194269, 410200511, 300403656, 277173097, 9571353, 1036854713, 877472112, 842026083, 487353985, 30916034, 169981422, 231045979, 364517847, 435817168, 387834790, 441470158, 210775029, 1059564645, 272038318, 969857131, 645657699, 877312587, 78993294, 86655762, 791882627, 316244521, 665511359, 395929313, 337436151, 479822852, 37055930, 200335141, 283861999, 189330567, 479502018, 263586694, 488495049, 1071061057, 919913546, 353445297, 1012754760, 180663517, 500037412, 596500114, 598223115, 761022688, 22099184, 934186939, 843228665, 3277973, 47337606, 715571369, 1008495958, 169605330, 1009951234, 57954684, 944143478, 907948765, 210875372, 302932047, 347887364, 144501535, 877001254, 1061243892, 631586699, 983045175, 839258624, 835898997, 496017889, 614639047, 420989000, 850570963, 817528280, 757656157, 253114813, 846235470, 669737101, 171107033, 214174184, 674117250, 127974743, 1045365389, 379785909, 743057381, 226531955, 974380740, 634886514, 659683108, 208665413, 217683123, 107881312, 801796675, 1062949894, 464641054, 140080408, 923585732, 344187042, 441145051, 1046368334, 863232768, 11063065, 929417835, 1038559806, 406328676, 974673886, 787946809, 1064066592, 841588590, 742893535, 554715173, 796252522, 307150165, 590259862, 488062499, 154330636, 306960418, 1029414287, 298118818, 287034488, 459571075, 1033215786, 943565156, 563377856, 753295452, 291322882, 127261255, 891346231, 119370134, 823614164, 738861249, 96429313, 101519722, 748555745, 6078994, 13322076, 232164753, 943057705, 624947013, 966240655, 785887884, 78283711, 946010509, 382920589, 108385154, 876230932, 999656670, 949356860, 158179413, 601588417, 920430807, 175408038, 479486804, 470137778, 852531624, 281899442, 773974315, 816761529, 489196148, 821196363, 834488431, 1024488225, 243434852, 791796796, 890329239, 459732240, 369821505, 463005848, 584451075, 338440778, 822664546, 281554678, 963336179, 570182655, 691936, 617444411, 198964887, 13964335, 411885406, 665668815, 40226938, 377039136, 201774298, 71776076, 706586333, 331688706, 23446205, 363778021, 436808163, 298553209, 526431575, 1063771194, 721551772, 330269665, 116676642, 876317390, 243298053, 599091417, 849928738, 1038158560, 238921712, 184680182, 936058925, 645621999, 1034778537, 82352423, 760889778, 90195238, 854209451, 888186089, 7264839, 361057507, 987216810, 175881058, 48132977, 612177159, 551877533, 149745552, 962081639, 865573027, 257931935, 489882606, 149489204, 947683021, 25446859, 206433668, 525013818, 215050134, 41255527, 985255078, 173290114, 926956393, 581642662, 952293964, 102677985, 653571864, 1048569790, 919798528, 1023801454, 325176284, 679196401, 258058197, 126679698, 142352220, 152049936, 566000433, 717120245, 201674866, 530994956, 680987618, 27986685, 849485449, 687073664, 539560005, 8510231, 329794013, 588147442, 730618079, 713893251, 606198620, 475385373, 1053653270, 617503043, 302011743, 146059795, 617758706, 158932685, 172241847, 161004237, 1070207699, 685775575, 628196740, 1018790095, 89711010, 760476456, 164425537, 180874072, 726669847, 444305842, 770079937, 1058049152, 969375281, 929253493, 1056378346, 566828473, 166951485, 9405373, 861646758, 748641811, 834883321, 866494961, 735183243, 773907000, 372123726, 751462910, 552709804, 985445324, 939845935, 106822281, 460911612, 387639084, 253086988, 222857004, 958993197, 1072146299, 485117267, 290939393, 102175257, 572280580, 200110605, 525544028, 977207402, 886133965, 803342211, 747676209, 815309875, 353476996, 780066124, 47660599, 206111076, 683537464, 92395, 185205769, 222731348, 21054391, 546434345, 212361642, 216470454, 556194273, 1004810201, 166004290, 308433356, 318649213, 918659071, 137975091, 472549655, 269536128, 897917685, 193329217, 353762412, 238714099, 813154974, 546880383, 160332616, 669801638, 865331293, 846345602, 512283418, 775560954, 1055346065, 47823908, 498063488, 135240058, 167744303, 787824162, 766093464, 401567594, 54963412, 291603419, 967642690, 1054419489, 506810135, 169323648, 703392690, 172245992, 651706419, 122551614, 948944561, 165597176, 24034135, 480208021, 72489492, 994484918, 240380954, 473992545, 906231865, 686745622, 672327835, 39886684, 694521543, 571893342, 197231492, 1035540842, 81782540, 59926969, 919129962, 342106024, 963525952, 119823428, 506668809, 359001266, 551064048, 702734440, 208229919, 392987316, 580228081, 352094237, 277966246, 225563488, 344494511, 769888981, 372633117, 7534782, 869415923, 525400124, 76107906, 868426407, 465981423, 677984216, 141413622, 418226970, 534771149, 420469826, 637775837, 292204528, 249878826, 610980111, 978447556, 328182290, 53108864, 674759596, 413110657, 31946498, 629711061, 615459942, 693309204, 58387239, 600166838, 75464153, 578831469, 974267651, 165488368, 358149350, 1010296671, 267651263, 784963986, 993044904, 48433520, 88325116, 836104068, 916389435, 364192959, 792153361, 841648922, 777047239, 766144903, 607090564, 366994722, 209978478, 490916932, 1072061615, 235482654, 714321885, 635832694, 843785437, 250543139, 559068608, 431811204, 155439272, 326132384, 584103926, 600432034, 913340500, 839226150, 639280356, 1025340616, 976936803, 330156958, 371793137, 828196237, 135434471, 46461356, 755035674, 473436410, 281501734, 927059148, 909593813, 442275790, 189227519, 302991311, 603339734, 160647654, 207607180, 1014123489, 991137542, 819218729, 781748719, 985561862, 1070575041, 690502685, 1048034144, 570935355, 341212157, 715625459, 274012236, 362438101, 863485143, 615593401, 535597957, 990495836, 694410270, 813773813, 859000762, 1049972763, 583634394, 105262886, 604125559, 699191735, 254114372, 292677630, 566365439, 911867797, 335460341, 828314840, 824748391, 92402627, 961191484, 1049175072, 582795291, 819158472, 830535107, 941358766, 631909253, 648530445, 797874421, 30968669, 234855953, 98263450, 88481223, 452319591, 805493084, 1053194630, 56042822, 333480492, 239615005, 272024081, 406648152, 755191096, 1047683783, 70610814, 380811773, 1046196028, 463385213, 900733634, 698608181, 308698659, 54593833, 720787107, 122390252, 776579142, 604026993, 326604877, 237361176, 858921992, 806627992, 630447105, 27289468, 141431763, 361659958, 12065454, 332982837, 486965673, 289031991, 289264026, 274731892, 786915979, 71325521, 552789575, 479715956, 466513752, 371331296, 538504682, 1050108527, 620329954, 647513213, 1035381084, 24452704, 1022863471, 31359431, 267387470, 259753316, 174683331, 841638591, 766813581, 1073090247, 282950155, 243094850, 910028487, 646092429, 474189461, 170013727, 138327875, 1019995640, 948047605, 643519657, 565591967, 210202224, 719255051, 605517528, 882343473, 275942808, 622638916, 599127077, 306944811, 1058859943, 1016957483, 212415664, 159997843, 29293270, 908635617, 920338120, 68729666, 862345809, 139435665, 647721848, 282695615, 271740584, 288489968, 877719230, 751109090, 1035422490, 720878696, 965664475, 743505414, 58414510, 746079573, 822836972, 79604523, 455139455, 1072909648, 428964402, 936649144, 52136820, 858316883, 378939134, 482267210, 611007973, 854793496, 775464626, 73486110, 894847257, 821875244, 210986943, 317205105, 703941058, 259384218, 161122408, 202006814, 743177510, 489453468, 1054544053, 73330930, 827363879, 376700443, 525039515, 885251286, 244744634, 289628039, 874720681, 163149751, 193882107, 137825699, 13648428, 472731897, 288724608, 257090708, 267156861, 394035702, 910357501, 134191785, 377055928, 36020152, 224892073, 764932316, 772811818, 719677368, 249646611, 168284326, 125872647, 1058503469, 747670659, 293861626, 16700070, 338347020, 1052140057, 414194896, 530150807, 517775905, 158922174, 180909693, 700432676, 212116315, 728010155, 961518931, 521492117, 1022223724, 260093343, 332744249, 193779575, 260215740, 901446979, 793943576, 48668882, 532948089, 450354056, 79907247, 78669992, 858700396, 653613088, 567698139, 165138358, 70697759, 505381462, 270125818, 842587072, 952643835, 572860414, 549702532, 286567623, 84431772, 821219598, 737557644, 16909869, 545146942, 932584360, 33516545, 728401212, 4192428, 27670745, 778707483, 106144621, 82395302, 876370783, 370925417, 669844470, 311641607, 651860322, 919330853, 43514968, 722243908, 357262655, 653911968, 253325979, 468495152, 321272548, 286593662, 401534432, 442503042, 649831773, 573292102, 496376979, 177746287, 666208394, 650072281, 1004743486, 447893554, 196557537, 231188514, 186311201, 791303182, 95244345, 727971622, 143048907, 10604673, 371300441, 888966035, 546316044, 291349087, 353385701, 307285210, 90157099, 550046335, 346282957, 77855692, 617230591, 352540843, 370577959, 649417449, 278517687, 384988896, 34234077, 339395706, 630311536, 105180408, 68326111, 375709055, 841691465, 193885370, 495964951, 589096722, 660579035, 955360241, 779175176, 988721273, 667316134, 586976297, 834549806, 265496569, 990910551, 420801204, 801433100, 370093735, 941762008, 46047399, 1052098068, 1071658785, 649869345, 546349527, 620912430, 139378187, 595867627, 37071089, 527213494, 405502309, 786730740, 720266439, 1040165182, 941447361, 237634831, 343500089, 904110529, 963652706, 964153299, 356832191, 452798383, 204404110, 76449241, 995031222, 52694713, 1064093537, 329092101, 213848582, 555545940, 562629453, 469774368, 893684995, 334951773, 643446683, 1020360014, 1024202256, 104726061, 474279811, 744951020, 644077630, 647019551, 818175590, 845956642, 159731192, 940900699, 1067362489, 100638799, 162794815, 784839142, 270116379, 568694710, 428596026, 90131186, 546022898, 932568896, 958517678, 668248583, 369078088, 1055013521, 552533759, 697569511, 1015054953, 208516472, 684898609, 497556799, 473347846, 509627984, 722283968, 733428345, 136601832, 962640902, 275028479, 688135126, 97200223, 458660109, 254224818, 432329654, 959971936, 169181297, 791689228, 658983812, 711230988, 154816043, 753975873, 940396004, 405381054, 1011260658, 130986599, 40919855, 383325561, 729688530, 66398219, 845567347, 579707346, 791654097, 172827548, 863242572, 517868810, 749311969, 986282278, 453308888, 9929325, 517908781, 1040693083, 947119160, 1006779444, 395157136, 736751712, 353827833, 813292731, 888091687, 1055022935, 531808455, 299803037, 912624930, 309954594, 895685401, 792248558, 418666377, 182460121, 562904838, 993203576, 23171684, 821946096, 972999781, 804175527, 823998048, 115970969, 81253214, 224773333, 979469825, 942583237, 284001011, 1063554368, 565313153, 869462389, 694323401, 907303462, 369834608, 758643314, 409582084, 488964586, 717879017, 581417894, 96162955, 255290074, 433727939, 1068959855, 193282118, 1072966733, 451685960, 43236341, 978503382, 921363835, 726786279, 883307577, 557058806, 24058480, 897290056, 144595460, 189596814, 476908382, 981227092, 596799003, 945207058, 44225794, 782549588, 109386448, 961430576, 87082217, 247020227, 414524438, 305938280, 8175693, 67373783, 609068796, 473728191, 550756387, 469663097, 14803934, 895769416, 3285144, 220108803, 807047048, 275588295, 855819229, 829965885, 299614131, 303678180, 622601832, 430615750, 7806868, 643989309, 723516189, 431768829, 85578360, 455418551, 390130061, 35625716, 909733265, 928717037, 716211497, 717347169, 621473245, 521459623, 718695460, 280999275, 122805887, 1010585305, 62325145, 472388647, 635484259, 873331480, 1056446065, 1014929838, 664263584, 61097479, 429316632, 668394778, 1036488928, 1014075890, 28932372, 858659662, 849066893, 246270075, 373900698, 796934159, 1040263930, 224988202, 145197079, 871802223, 519697082, 570612438, 314078474, 336694878, 124484598, 1008050471, 628852942, 486667949, 1024061337, 289302896, 557758030, 19994229, 524214964, 1038724187, 911458832, 517443451, 357587524, 315721662, 583029275, 102840643, 755467211, 685588787, 272142406, 535787946, 589942908, 594451069, 609214727, 39693699, 1050350615, 100861085, 956416697, 381802795, 123915827, 253759273, 83432297, 970143695, 636397651, 178697161, 122630529, 335259281, 924112626, 867171979, 12847197, 1057664907, 1047298367, 787661921, 613289533, 468764049, 299107601, 81039432, 966281246, 827812059, 168161984, 268579729, 96971571, 862364578, 1061217506, 470805990, 1037181495, 708852615, 741236957, 39794119, 1018481985, 980755510, 872352210, 854325295, 241777664, 16702507, 465992074, 343062675, 848101651, 923284709, 835913149, 704378879, 323955053, 222482475, 286808843, 458610764, 260332860, 592991888, 36088313, 479837990, 307352631, 735948278, 292966580, 52492862, 664013574, 95623713, 901241242, 753326696, 393184378, 291671221, 785202334, 753336801, 667373715, 766355157, 907231614, 653778847, 884662343, 363865746, 922351210, 833081767, 728432927, 586068261, 471737348, 75888873, 687288339, 691221182, 378054941, 281675205, 367552703, 779867148, 765604534, 31073381, 114600754, 383547663, 886964050, 1036730419, 932359516, 799393041, 603467269, 876643139, 86032750, 178725344, 561192269, 675255877, 934933665, 685033043, 129823499, 619994431, 607274354, 370388148, 803966069, 762540190, 262742908, 388111853, 230417672, 640674970, 763196120, 412196926, 841446816, 938566220, 364221352, 770517691, 458845673, 334344432, 701206722, 414139264, 190879004, 888552562, 438202937, 110217684, 189555928, 1057998529, 143770182, 56036905, 534590726, 570403329, 790145168, 462995155, 920507509, 887732319, 778082775, 477673549, 159625961, 183258364, 546215043, 938303118, 116395058, 532253782, 981685705, 112978314, 136495748, 814811009, 128305112, 584995343, 403389801, 439818957, 684854960, 423680297, 434001378, 87665483, 559221990, 430426406, 308284612, 325733785, 582576315, 1044529929, 701070633, 638022344, 658319959, 1020381650, 761988917, 967989767, 714803930, 109926388, 740404895, 397812098, 132657314, 1006800690, 24421368, 132263531, 663657653, 640985219, 934347500, 967835114, 317939087, 566599503, 328832745, 949297660, 443831390, 85493708, 414758458, 639428676, 5147093, 850759335, 388030455, 69154719, 138521088, 491949205, 807922813, 1028795827, 160577316, 970824, 614060454, 741554394, 428089054, 618331260, 295606831, 645689955, 141788776, 787221129, 154833064, 1005785538, 85706414, 759927267, 410491204, 232152936, 164695060, 467706634, 674369216, 1001297001, 576097437, 171251156, 822488079, 611916933, 810714220, 430890968, 714260136, 381913407, 172534884, 689526702, 723642251, 815197645, 884247788, 809379676, 375535253, 165701357, 402170610, 1041282665, 941268593, 780270358, 391990981, 1056232171, 82177748, 97968496, 462532444, 753378510, 522670141, 164193443, 125528070, 327453794, 486889915, 544808269, 56683930, 155727748, 650073147, 540575340, 1029377260, 6901184, 513597688, 1039787112, 72879007, 48440673, 405775194, 627557696, 230453231, 830521282, 699403860, 671921463, 86592317, 136662830, 559351664, 95087463, 236969744, 834777449, 769231664, 20022304, 332070238, 916957284, 518380271, 174562111, 506311463, 253352018, 736803595, 370746818, 572927161, 531812962, 506870466, 976898442, 159672317, 594215459, 892884948, 603150534, 114900255, 1063754722, 103016753, 17967100, 589620800, 20823297, 749648781, 243997595, 330450080, 253213371, 667943798, 811118687, 669416835, 44179519, 792508416, 668932587, 500689175, 338955565, 552076191, 531316840, 44365568, 375457640, 622124307, 132871410, 307381338, 782564587, 50069020, 370633022, 816283089, 30660111, 606284771, 908756280, 415713208, 577985498, 1023135300, 800410781, 158872213, 1005775052, 336609248, 305231592, 197502817, 492269167, 526858309, 268525978, 174439573, 472465078, 663346546, 673754647, 90783984, 298564422, 560111562, 117134024, 356950789, 294095514, 448669424, 543912983, 649674557, 269989922, 466038399, 327401541, 505794315, 329213541, 804408513, 628181397, 134062396, 226473283, 995960831, 720114465, 45611903, 110811335, 691822376, 394063067, 265611907, 489701768, 577659477, 574930277, 741827199, 506826308, 735014055, 494831710, 361475400, 781164380, 791340086, 965977168, 383320055, 728331858, 73159136, 117251820, 277489497, 482620888, 671250012, 761603687, 1056789531, 125903292, 523879071, 285893506, 808090199, 166359640, 584781125, 517178575, 179686984, 529926866, 830609587, 172116996, 1024840650, 1014855492, 665430308, 692147178, 251237783, 83559669, 945582004, 892936528, 134695579, 823740695, 17582107, 923593758, 274315123, 1064206553, 438976185, 409082927, 588998090, 672514799, 250838466, 861206297, 282436515, 46019332, 50001886, 577393628, 970387872, 299507864, 183556461, 610126726, 718525109, 765737633, 380778724, 419810109, 76999783, 354666689, 788470531, 678998765, 599962707, 863531365, 738139520, 174620656, 106737883, 739635063, 598330510, 24782083, 227639586, 568617267, 855267670, 976581744, 360656056, 1037741547, 1061019542, 404052588, 899139455, 1016009192, 818413422, 779927181, 658688057, 277600800, 510597134, 840519146, 8011216, 371648834, 758518402, 1013137620, 64264987, 731841023, 999078268, 510660070, 48562489, 460736737, 711674326, 658163461, 185702853, 925092798, 727272475, 581351057, 781524077, 815146824, 969652067, 864235646, 257187449, 277911246, 985592680, 883658624, 232688752, 132691041, 668303245, 629967908, 557778233, 504170359, 51759323, 584859879, 894044834, 915527576, 890391153, 463776983, 866549813, 534191316, 364480661, 883991333, 189990585, 71019040, 143715818, 621174464, 531498132, 74178784, 15732545, 711801267, 739822143, 73742197, 796089729, 546806478, 303568995, 897884815, 504561378, 729770470, 548811228, 21772193, 831187123, 554030613, 958739232, 182681, 465364986, 988089302, 629268925, 557310486, 992526373, 227676281, 838852875, 880197648, 11240001, 358487938, 1041181992, 39662403, 1035640575, 477076035, 56129906, 202685681, 790960497, 1066164105, 519881931, 905774687, 641715959, 423034248, 900530604, 820317128, 582143088, 894221902, 222252552, 708977190, 726340197, 580806450, 1033830118, 385102379, 175850260, 46217817, 627775967, 616405907, 391400390, 720695105, 848276076, 178191851, 47215662, 949590981, 60212152, 207915948, 486426865, 903790383, 442135541, 1060981962, 757811036, 109291325, 666618478, 217325991, 229522665, 514223877, 663325354, 553151340, 888098481, 562111163, 50859919, 846828466, 590743298, 798540570, 235858361, 200450437, 140283896, 175037844, 954292954, 760669335, 298287569, 50220433, 779087492, 452442628, 100947814, 93829736, 717311158, 734550412, 770323960, 730156872, 742054985, 839290595, 184315943, 269773175, 436981840, 185361854, 477018998, 707338803, 982443985, 793442298, 1007675739, 36183102, 629235350, 581697189, 948274012, 424026408, 248891927, 74817549, 1070020889, 977347579, 406538912, 44548067, 553417993, 154740582, 999314844, 805013487, 52042473, 667447353, 992567512, 570841203, 923228040, 1020268346, 121963059, 413313818, 796945470, 1006995532, 179118025, 605346988, 734206686, 619986928, 1068768029, 818559007, 49966048, 153833127, 241934407, 366186402, 500981855, 231826354, 716450246, 1037828742, 447582062, 615790018, 757123287, 412854011, 227150474, 210313207, 153776362, 783081799, 244703347, 1049993271, 422570595, 516824201, 113949653, 572468394, 254842958, 175057764, 322705279, 895815047, 951059967, 308633669, 171226119, 294224101, 90217549, 764296020, 303712256, 484660264, 228982252, 829646116, 552390586, 269894595, 565388306, 637806493, 313948248, 783690455, 81996007, 64779758, 614254215, 338906447, 38329711, 227168086, 765584384, 619058741, 506818893, 763018968, 867919059, 990341278, 31534668, 262505122, 81250723, 343948566, 605479580, 657489013, 762092659, 422311786, 340586014, 464090205, 1020516193, 514959762, 186770216, 495687146, 365961800, 118131104, 301508584, 438232812, 811898166, 160042549, 970780117, 207240090, 173885140, 227435234, 874223782, 953883899, 1025659050, 702920668, 226991153, 260696873, 721334679, 147124827, 677513252, 453697714, 1014326560, 914583126, 539748460, 871203928, 913777986, 1023722773, 566616683, 165094485, 645664647, 855886692, 824586972, 806996680, 879255243, 861871895, 893681446, 984316858, 1030243723, 282660666, 648303238, 799846564, 215207143, 892456641, 160379118, 120101006, 733641797, 36011984, 219899532, 496144222, 688773828, 36154149, 296226983, 328563286, 909562956, 369953858, 353457385, 581380635, 223195004, 661789555, 417735572, 151427777, 272221885, 991900179, 769565042, 497984491, 181460748, 624460269, 421170763, 406446611, 505114364, 340339922, 451968821, 806145666, 993421547, 470703254, 857293571, 374318356, 126868426, 575675517, 56294278, 427784585, 36276775, 2062183, 237427226, 529041296, 971625229, 586341085, 995957036, 177263456, 398021815, 128473324, 1028960152, 168800505, 838261084, 802072032, 766774875, 732235895, 598638841, 609547385, 1022362757, 660485405, 444713956, 766966690, 132794394, 23770175, 957123637, 832202551, 266352939, 1056145388, 118041900, 721553209, 1012676841, 790018061, 581073288, 328016244, 517161099, 909593798, 399466686, 6456476, 726040605, 779236333, 616508413, 726109186, 778922113, 91266599, 1003705084, 305530416, 786344870, 351464706, 567566183, 421103890, 379670653, 460090713, 588683356, 113697571, 588686567, 929995278, 965287311, 711116191, 701929078, 355517656, 994306080, 148222410, 1051874714, 898147608, 481692534, 843907679, 680628994, 401867306, 122179967, 869994129, 1055200638, 687999618, 110365901, 762165073, 209190860, 815244440, 195111655, 523525421, 249383030, 568208945, 689308188, 415775924, 779358987, 332281390, 652498316, 902540663, 227687533, 344095793, 99330956, 755101688, 107285656, 136828348, 413449641, 475210526, 22590760, 793862038, 352596332, 555766503, 801580771, 144701139, 483072119, 531385087, 809280358, 1008171115, 430706114, 600050203, 1046600484, 317872957, 909093304, 732403922, 279042579, 414258734, 816282035, 399724203, 834815985, 893142176, 907644399, 389209728, 600150514, 795902977, 753732062, 808542152, 667739406, 660196960, 341019660, 927685252, 823438190, 767171996, 61162150, 446384233, 478845385, 704914436, 746155181, 5600856, 141773097, 907384526, 307658715, 161372007, 206564811, 322429317, 720791529, 126188880, 841623159, 499121972, 467404005, 327416449, 956241009, 934331029, 681694557, 341018967, 546185948, 979793775, 209050548, 313174358, 575614322, 782614656, 504390932, 666263567, 316662264, 230769177, 776572830, 697682875, 818367872, 558977045, 314913351, 732857475, 212191561, 77897581, 111568457, 994646833, 585829575, 706519425, 1017924608, 981430251, 973365604, 477242265, 734410849, 39744387, 564793335, 743231601, 1039752982, 913933732, 457460971, 229747174, 274867269, 897841005, 71569921, 924021624, 702518148, 456552557, 145735489, 1070127929, 821378471, 1004436194, 635895778, 748200700, 919180041, 851655851, 569040376, 743193952, 1035646688, 270725779, 628341540, 194886472, 477290706, 584442972, 244823407, 948981735, 152665857, 553158218, 523802463, 465472980, 1023352058, 614587496, 26626493, 97990220, 188331139, 1054223718, 1015533353, 964856144, 211785727, 501481512, 567651899, 486874576, 677084729, 634252057, 932438513, 86490194, 653881188, 295572606, 109332468, 594924761, 522392703, 113087163, 255251864, 722195678, 879717895, 71301453, 137289718, 62377518, 664060934, 154670419, 710406305, 959723399, 1004664292, 67421302, 917712648, 319716561, 382443228, 796940273, 183742068, 58711661, 279621937, 273560802, 165945682, 783963304, 852869478, 287808896, 693275313, 120306360, 611431500, 675680410, 932585314, 573653822, 578084490, 627923881, 716455281, 808494787, 873135596, 362756360, 503718590, 18257541, 451982051, 804072630, 518509321, 265265251, 350475678, 247523347, 976433767, 307806943, 184573639, 758816336, 291326860, 972526762, 311037429, 786898984, 221480402, 827523994, 360573925, 523713692, 394169555, 230582394, 174154228, 656238709, 797888257, 784253999, 218877422, 781550252, 591709827, 852093143, 182119965, 572986817, 816630870, 47340748, 604175919, 1055680155, 276108854, 301482356, 265704928, 1042614065, 924335214, 920505343, 181721815, 704019030, 997977082, 625145509, 550113102, 465616082, 19775639, 85146351, 1052457901, 660395885, 651696407, 1062206454, 452486118, 127092716, 1055934239, 266976762, 289709082, 275291981, 416221062, 767816457, 787943331, 767840280, 1010384503, 866369158, 641044746, 13469831, 207947579, 210471306, 491043596, 647150997, 906050086, 53013902, 943769536, 774720986, 1014004532, 109355845, 932699259, 685453019, 299625454, 591050182, 439272708, 520701447, 436736774, 452768481, 515446998, 583690617, 829594749, 921462943, 868200699, 678385864, 580950286, 690541338, 208642443, 1052280148, 507948255, 215893725, 916585746, 493085761, 1072272688, 436046267, 814398337, 46231394, 841072878, 308329754, 178296425, 269065186, 295625168, 171591316, 812254931, 831735029, 70156639, 923343805, 935133774, 91509379, 1073721935, 1048182629, 545125670, 837864822, 91408614, 719022022, 149871417, 955921908, 591779908, 287619168, 312532686, 1015169111, 205821396, 247217381, 582555124, 584130239, 847638056, 592681135, 190125939, 65134882, 461233356, 684056965, 819294297, 70935539, 39308321, 533973048, 834076819, 785472536, 733407376, 488827040, 14315354, 477559883, 24158514, 580015488, 1067498232, 559252198, 139147588, 229882320, 110234102, 468393600, 824526158, 1055700920, 818836372, 917113156, 254397710, 740201881, 21366985, 374086810, 710714636, 136347802, 541457746, 258314889, 439090325, 697412966, 571527060, 699744100, 165556030, 604787512, 80164307, 472382628, 102985593, 694809495, 202419881, 368651757, 90338184, 798304119, 709716129, 327495153, 710482798, 387076901, 510877444, 118601325, 866526572, 352342275, 332296234, 981995254, 10944600, 198730094, 474702358, 833510335, 593771904, 712353150, 573876522, 137443848, 224329285, 614615911, 809124737, 344447157, 412608268, 76429926, 478470229, 968099206, 741306874, 739615997, 516494001, 68720277, 199348698, 980108233, 534288436, 48678643, 675306112, 16507797, 858608336, 364617422, 1031742792, 844121837, 530469415, 648784718, 43383136, 450592994, 425613770, 176860063, 68566284, 140701989, 1012795907, 637346508, 921429687, 486276474, 6610931, 621711236, 536492565, 97089092, 378165533, 385339376, 811321451, 348807237, 404880310, 316876867, 1006473488, 5678293, 55794588, 55045042, 240565258, 618420773, 419590643, 797533100, 707351095, 45500143, 516603544, 12522305, 521590245, 166222056, 900864069, 103857981, 16395228, 207554597, 360912779, 874676046, 945487627, 830710426, 847330041, 541750381, 390865405, 522166472, 512962790, 710314425, 872376832, 361193032, 1043551439, 702191590, 303644615, 486809836, 944396343, 370821998, 191713370, 945308374, 749309098, 27955131, 847364497, 710695535, 821618604, 424953842, 336205568, 710098641, 1044338564, 535960318, 518051525, 770445778, 470373844, 375972871, 150218323, 445422322, 80366641, 174231558, 300019065, 77186565, 381414843, 739331088, 24557150, 748277357, 1010390681, 565104527, 184641082, 666380934, 583414499, 787093910, 949730630, 399798299, 217559695, 169111417, 451673622, 971213458, 632696713, 870806006, 426380283, 340621659, 166217593, 543302566, 836011774, 554503818, 1031938004, 14843303, 554551751, 880656090, 564118819, 911791873, 80147497, 1013376102, 893008994, 655281342, 496631055, 889209762, 701459642, 22944134, 786090005, 321576905, 1028041168, 673037131, 850327893, 919868926, 932829650, 693127294, 798556825, 633496437, 803178964, 221514958, 167781286, 403914676, 993081553, 421294721, 521022522, 131802600, 259116153, 474086567, 463045199, 938118815, 666321744, 888440957, 536696159, 760936222, 750716369, 454671655, 793575589, 535113135, 691616447, 885201262, 1044903118, 396169599, 586497273, 28643620, 719366751, 631235478, 903538395, 1058161537, 732512657, 1015657503, 266977039, 169590402, 682384287, 953390773, 653186962, 565455085, 954566090, 791794063, 322775254, 730054858, 214525827, 834825558, 102134709, 301391785, 909337470, 427925864, 894873881, 85517177, 870474886, 554630085, 760301384, 50928739, 631809643, 115459877, 38414751, 794767896, 164632608, 393149845, 600109001, 189469042, 850465829, 918161892, 319099422, 900185110, 541266643, 777540016, 610725000, 427018663, 237009608, 918043862, 994512094, 10857508, 875342681, 669526837, 55156563, 90125189, 799546614, 848927630, 701524815, 572721337, 986551400, 420006750, 600522486, 496060081, 202588626, 681371380, 20401136, 1062868707, 72412986, 831644741, 833100780, 677298106, 319735620, 1056787411, 674284228, 215064333, 891567487, 558909522, 424438448, 882480619, 1042110741, 905737792, 1023075381, 216928861, 1019423758, 467555436, 835876010, 924740906, 390774906, 959773056, 935542355, 636083529, 719147485, 475629813, 1031908225, 657566112, 369201261, 724933469, 1038823044, 952061200, 528574275, 609548478, 760716166, 73744455, 23443110, 79989790, 413685547, 680122755, 1057784056, 761884708, 894074244, 63925607, 1045976152, 850645577, 733364006, 727327169, 249366871, 946294020, 791640425, 990205450, 713481221, 141230414, 827585685, 511392363, 568772932, 34117220, 973899234, 342742784, 770502998, 991084797, 234730795, 613638159, 358285831, 617020713, 294168452, 376841133, 322354448, 691916593, 1044781699, 748849567, 963286950, 348813000, 890339512, 630533757, 481230506, 743723632, 265079896, 289583558, 971588720, 220710090, 603443982, 208843650, 787513531, 645482173, 83086549, 255743200, 57693854, 985988490, 575374814, 325184322, 456776495, 957875882, 920430749, 568990269, 999416869, 938900976, 1019987939, 332181620, 786317215, 609985150, 240590503, 827129799, 643418626, 618622529, 435894086, 278416234, 534588570, 204116193, 853998401, 869494998, 782575855, 343457328, 1050113481, 385527076, 500128016, 500393052, 1029711667, 494466013, 393909865, 972579561, 1051488702, 880607985, 1057776457, 262256109, 898582866, 799460385, 19828228, 311569551, 201615943, 951455533, 433377023, 295720217, 486412970, 947558455, 11864460, 1012709821, 718411586, 1034934494, 13080514, 384887293, 376742180, 647348032, 469711518, 465450460, 230767181, 673474146, 972938745, 789170919, 727777683, 1021738674, 718450804, 861112561, 102511078, 730078288, 583692105, 1053640376, 1037248004, 179130466, 539757077, 193424915, 96580794, 813531958, 737614446, 649335281, 138149978, 328004637, 660269126, 370200970, 216152586, 641883238, 192278624, 298535516, 839371161, 565346954, 95805527, 371054038, 659412040, 412141100, 438698701, 971974572, 147469835, 57995718, 74194902, 195694672, 226285448, 343242986, 413927381, 945768651, 576145043, 687373578, 367229227, 661891674, 357533488, 716973867, 262039778, 408296560, 584210506, 100354322, 220459205, 445751281, 147074115, 757044449, 83208620, 391807349, 376897273, 823962198, 602205135, 401996852, 636949318, 538095004, 651063653, 961082732, 308913756, 221332337, 542174237, 36083209, 1018862574, 549850536, 265504563, 57672761, 284852324, 1038428842, 812422198, 996843341, 915883556, 175170957, 57332473, 810212610, 613382242, 361354239, 671860005, 509598540, 1073533089, 22610944, 725984085, 631435997, 287604277, 934961655, 346668039, 828866250, 930618330, 37079680, 16801972, 348490878, 643373665, 459593543, 9907166, 94611680, 1029464298, 301416069, 558041228, 992159756, 1064981088, 941888615, 290332823, 421709603, 373915866, 941063775, 623341396, 357646910, 510215689, 242188721, 894576919, 598768363, 794666574, 72437924, 421598563, 454124498, 626339207, 719007329, 176298838, 584113940, 651073143, 322920948, 611501927, 774966297, 23679339, 254013555, 605630671, 759897976, 670139899, 598055511, 324453378, 384927727, 215621336, 93786933, 148301406, 110244221, 58975818, 257470933, 195946750, 55772405, 240459312, 764824313, 675964805, 1069011647, 933940028, 789794353, 54996097, 8972949, 884237824, 743132473, 142925432, 917644819, 558463292, 227784970, 429352102, 157170191, 855136825, 386502894, 408479018, 756691107, 126321234, 880748128, 59051808, 948764308, 464942949, 801476675, 608564855, 129081159, 553494390, 460069320, 266832867, 1013435990, 417626728, 971593910, 25499530, 489550202, 893322734, 458269567, 804075866, 770511183, 250972008, 1016979852, 423251192, 871614381, 440995905, 610506033, 208120599, 537340349, 644415120, 14167684, 275267728, 97642641, 667199073, 719067019, 98042868, 53133948, 457443023, 773552379, 838800749, 644918966, 709346229, 679516106, 147250038, 783890407, 666197731, 539397047, 3257108, 837158452, 1016880186, 294496223, 1018095047, 429072480, 505418475, 81493734, 922043593, 601429940, 139604285, 709671415, 510581644, 122833050, 599459667, 623454831, 166762821, 60975577, 156114361, 342279005, 361595846, 82673796, 155130160, 431618419, 230210270, 947464685, 765176425, 239832391, 480980342, 139630099, 660537353, 841201201, 667022224, 538335300, 112365755, 802215715, 321973891, 96715910, 896837217, 924083580, 661026913, 182083941, 918569071, 577641681, 800523947, 528033105, 288778064, 707674331, 303342555, 770585483, 155431316, 325015622, 1053430359, 1007158369, 367194804, 3699791, 132809725, 419179703, 976270641, 638678578, 569068987, 187454074, 188521063, 972925957, 784371670, 509154656, 626267276, 55664974, 209055867, 245977515, 367477682, 276168050, 658000275, 856021485, 834249126, 938268059, 692391611, 539481131, 607309676, 551791042, 131053291, 849101767, 250596972, 125738721, 354798070, 844434353, 544438199, 288737071, 109139800, 327245042, 782390646, 938003646, 916739433, 272420450, 398968986, 332131355, 482025393, 64396413, 265027139, 245740026, 751333179, 734299147, 217942378, 1068617679, 710285192, 828639117, 964395920, 271298067, 816340629, 465665793, 759444027, 137195179, 363659321, 841003, 62523088, 228336950, 770086933, 720447443, 831163329, 1028882974, 926552652, 474029079, 450524948, 979173639, 864630674, 422917339, 510747533, 771540378, 920414197, 451783637, 1049691770, 1041612753, 740057497, 545119840, 950650384, 816708539, 969618942, 619160209, 153631571, 902313077, 783687081, 391789689, 421348807, 316539332, 1021056528, 565977549, 743929921, 409656623, 337652503, 536091279, 428013908, 1053851911, 1006268081, 132620654, 793907551, 246695995, 196747654, 713202258, 214760319, 487259207, 806054547, 855597099, 284389667, 409083351, 95526883, 414246809, 950834973, 956472191, 618853151, 263144404, 802959367, 364454536, 231398476, 513895889, 97318045, 210802555, 142647036, 756487918, 489913290, 900876339, 723856930, 824549745, 939856753, 23872560, 74003122, 564383633, 305695844, 540746561, 991699976, 897843688, 837135936, 86107225, 407158535, 875473812, 755527796, 301272490, 1048713929, 125259061, 824968436, 728996773, 1050881937, 650246029, 600880541, 70874854, 554264296, 108343258, 511933493, 698379770, 327086070, 246613410, 160663564, 301847737, 609867135, 219427915, 377111347, 1061659003, 44108251, 104995186, 990624266, 845838793, 614392391, 24913195, 418368946, 129004650, 576989452, 346760483, 937031343, 235284053, 1029476530, 541261992, 639786239, 473077381, 669289846, 907767648, 384416556, 893570113, 1036987118, 666120622, 379007670, 366892670, 121941431, 766319687, 993936488, 497881942, 792118474, 600470839, 1035280185, 492061744, 161264119, 291689957, 539579913, 852084172, 12323520, 1676996, 763651530, 687058364, 22548251, 28284571, 907472296, 761156550, 23108701, 10145758, 463958064, 345693268, 555458550, 880690294, 550581001, 246253283, 331814522, 768634858, 449280182, 502885704, 441241767, 559400928, 867058723, 428503747, 196251894, 163012544, 707985290, 183982313, 540248080, 828043190, 336934201, 209051624, 577363881, 106720896, 424768266, 112267936, 374026568, 625439026, 989049516, 238339757, 778321086, 490189516, 637095648, 999761244, 541379767, 604686282, 351050251, 231055415, 818024676, 306405096, 317687429, 211205382, 286538428, 822605548, 629467260, 361537895, 650374419, 112228012, 545957353, 367628874, 365025256, 287665372, 682780850, 674876436, 555394589, 537978553, 572970972, 855043997, 1890121, 94013938, 549890975, 412344515, 396187651, 1024713347, 463342229, 293864807, 165381594, 1017557927, 478091749, 648323562, 950536471, 53033090, 840500286, 931435273, 1021222664, 637681871, 687730528, 73886080, 300872022, 360755908, 154226672, 662747883, 947066424, 245641833, 448282737, 321638530, 276316340, 176057543, 285185075, 869004610, 72731321, 348177233, 692328781, 659308138, 1019353182, 136288181, 944346386, 575492502, 1051770929, 890156826, 412497064, 117833686, 564649993, 999964941, 957418646, 412001392, 178638185, 976448357, 1013986525, 916130328, 419311954, 302384402, 1014943208, 275168702, 57135732, 904968855, 99580012, 250978052, 909975990, 201992019, 93008081, 127504216, 191286675, 312802796, 426210851, 623501843, 312999152, 588938646, 627850490, 674411704, 746953750, 903760608, 251935325, 763938276, 121371404, 523167576, 292528221, 1068398390, 819063041, 325895415, 118764053, 11939871, 96624169, 329071542, 452482885, 712155410, 799085910, 626396325, 729984435, 877042671, 796965323, 742897923, 314753825, 370147049, 172524707, 221938766, 922552400, 90998405, 32211565, 890301786, 525898024, 172611858, 425921988, 6051249, 667837431, 219759683, 427520291, 474658582, 200214211, 548989925, 648919960, 711161327, 277314748, 965328894, 823152059, 477133605, 239293335, 605785159, 162318053, 217276009, 9906333, 872252369, 289880414, 1046490814, 440597557, 8333082, 1014252154, 523941406, 63444504, 361435475, 514390137, 77243921, 178051891, 583220203, 383770493, 1014388365, 865495412, 965963457, 126029604, 854084411, 859831697, 306885415, 114292081, 213942698, 85228211, 1062953176, 755188197, 947887416, 962961533, 761498129, 750444271, 540372449, 340335398, 273027858, 179224888, 2915410, 374001768, 86330829, 412506728, 643056156, 175635020, 1017485254, 916518301, 967121878, 338550825, 71857429, 426847260, 993360053, 122804332, 253458302, 95359399, 497090739, 830117762, 980668698, 398878589, 606915209, 797151387, 735657070, 859512709, 783223650, 893640586, 608140143, 988875614, 880289110, 662882044, 14758556, 297495258, 162658526, 332204926, 234336819, 432328615, 421464977, 121347493, 123452969, 166819378, 1033852340, 844544641, 54729261, 454761725, 580491725, 395659727, 5487549, 315189908, 624756898, 222856787, 171786609, 147031420, 494549765, 80808262, 257392338, 414997456, 197866079, 234500689, 483158084, 226294669, 672850875, 484809595, 514378662, 422490406, 911741255, 265491796, 124832538, 245825330, 188944319, 1055401780, 603114990, 1040160752, 444357057, 657015343, 981989449, 618366253, 375541803, 513744436, 499531965, 289796609, 418720011, 339290413, 1030822524, 254065549, 653191527, 223783521, 728304022, 883907663, 44186452, 435228636, 254944635, 327989975, 340673678, 905561151, 1039626630, 518729627, 480282426, 675723106, 284893982, 733123858, 670177558, 958651985, 288666777, 618285826, 221317622, 562369501, 279802896, 1054384901, 330908743, 746042968, 242927720, 296929775, 375095133, 730953017, 178857291, 24400060, 789050890, 591510169, 939535292, 611508530, 684333434, 802365955, 322936636, 5269081, 473113794, 602736296, 229144472, 406020962, 825881292, 868416176, 1006384259, 273625419, 442019119, 648840615, 389818767, 948148858, 654326783, 879409772, 773052483, 725943495, 777756883, 912495580, 185468518, 177079274, 461576375, 663199867, 531525130, 900922179, 292276419, 476392852, 347516461, 491004531, 98794460, 622792883, 393868611, 266437289, 73771544, 468060655, 67713771, 1037957027, 260906591, 990072888, 144453077, 827506801, 823195630, 1021847156, 1016105070, 1049091604, 1041500757, 994385281, 929325486, 142162184, 672926792, 831742225, 488657997, 606381666, 861754907, 131633157, 1039766135, 965840716, 179118992, 607462274, 225164582, 711820721, 673373730, 814036372, 732571883, 244111165, 329465942, 132051428, 715261613, 602240864, 453631419, 746344167, 362051014, 695135996, 115875296, 29432762, 30222725, 285992976, 679612720, 554373759, 834890598, 169533993, 215790044, 1063148007, 264606285, 1024365862, 949043056, 122601761, 824334849, 1042059623, 963034276, 431556245, 611130053, 79515766, 246033998, 856630674, 783988307, 529437578, 623916389, 1065669415, 907203064, 738422371, 272694785, 596963310, 924662349, 375913547, 144171501, 721324378, 709772640, 187357067, 382491909, 686152054, 485183384, 570715344, 39277384, 780315674, 985047909, 1039549987, 432625359, 157692614, 707495371, 821497174, 600489189, 115667721, 364139288, 3660713, 775612054, 794867899, 867135287, 1022021476, 257404711, 667800234, 1064021361, 835121273, 780067566, 580965824, 315066067, 534855036, 447945446, 68764102, 1073292639, 412341975, 330207535, 651915429, 253386284, 299655893, 183390216, 249646864, 413178272, 804844820, 996361152, 371181793, 987679990, 262747902, 87119258, 359871315, 291970729, 805001114, 145141989, 493913964, 732067373, 850714939, 785789989, 207570922, 1013952308, 716706208, 1068174743, 420688436, 152456838, 1006367195, 422609593, 98834082, 1059669620, 835737713, 35454028, 216233403, 202840840, 708830538, 513271932, 601708673, 787225840, 377318937, 793744223, 616718215, 1030260493, 475437889, 126371315, 279856511, 1029213411, 10472732, 307457259, 315308535, 401086553, 259164973, 147793372, 666029414, 504764335, 107678589, 597472508, 1019441223, 858689452, 613551706, 191141284, 743951159, 527038026, 929236103, 338430995, 186903747, 199348979, 536388984, 949930095, 519997422, 898373051, 612073900, 916940380, 416394549, 902755206, 137301289, 631351441, 477203036, 204972008, 682788961, 908619700, 599961400, 60371535, 919194890, 824844450, 208350185, 662765742, 927362850, 420289890, 533157846, 15686432, 488854546, 207577407, 403612645, 740813591, 3819424, 322942416, 389706714, 1054238302, 22315202, 890783698, 1063789811, 934738633, 538858241, 854582324, 314560949, 248723135, 206468798, 103682581, 787920867, 56617606, 947683911, 589021537, 585901561, 781582701, 613129358, 200107597, 381138427, 323334552, 885092478, 920703538, 517683178, 330880092, 605905865, 650687136, 289544509, 619411846, 502494871, 609502877, 325640897, 551128826, 69716950, 289678736, 671950027, 123350906, 241745206, 987165811, 198501426, 519378664, 902493050, 656403620, 31628824, 225294572, 365858636, 163048584, 1049614123, 365393939, 754148614, 28549794, 340166214, 852238934, 777518130, 460254298, 994703380, 201707595, 238394872, 291419588, 536258950, 900459343, 292901103, 309624455, 55408290, 363107465, 80551683, 821957834, 381887596, 921755116, 66771079, 901769906, 299105323, 148147477, 757471062, 173178833, 565211400, 439784239, 221014896, 575707766, 486540204, 106091753, 103413959, 566660181, 792230912, 670662947, 90869600, 536142338, 250676777, 496979097, 513291884, 717311300, 570011037, 935454126, 161656729, 712541343, 505219752, 341070014, 605236072, 981282453, 384003041, 1009323208, 110799352, 586575904, 903623631, 191622802, 85327188, 584049591, 310370517, 803440446, 534312042, 251424174, 599161572, 575648521, 532512475, 1064055292, 946362628, 158299384, 322365168, 312421601, 224175211, 626692997, 685414480, 80383631, 433077481, 648618638, 690559472, 492977112, 85176601, 493407809, 148803354, 161618523, 629075812, 412377374, 358489014, 152664664, 506504364, 630796546, 52214633, 199417621, 856203825, 446598519, 71692774, 1041492694, 894817895, 395634861, 414307064, 591001858, 252965714, 868847552, 864667723, 824878951, 880065016, 35325461, 1012251409, 596505546, 336829938, 481927358, 201932457, 1066669633, 497121908, 918823772, 244773943, 1067140059, 496955001, 293412066, 783523031, 341851666, 850438200, 625196324, 427698748, 856880618, 413935108, 874687306, 71442475, 403915028, 25741775, 297859125, 203495623, 276438441, 49973425, 321776425, 690644050, 655538030, 606903821, 775298896, 583828456, 618207864, 403552688, 863558062, 901238403, 682401045, 500801464, 92285852, 812548422, 480644491, 756266827, 421355868, 231009993, 18776949, 20753785, 485193716, 106117571, 351920619, 332671900, 581913026, 835259786, 1060691085, 125477371, 314570373, 1064041031, 965765911, 548596622, 227622912, 489561004, 170473378, 304749597, 576502341, 341661536, 2908499, 1050007277, 906384670, 228905524, 137014455, 944942428, 180078007, 987277041, 422994255, 670105887, 524704944, 792906716, 479218118, 229894790, 75030831, 379262512, 849259757, 917339916, 331961501, 329068706, 927079324, 858408813, 439672115, 576759494, 329164011, 912745653, 197771862, 726318637, 168952997, 808502729, 552636517, 594065059, 505399689, 451796324, 528907655, 747655414, 141385864, 282671087, 861729456, 814096741, 763138328, 220784827, 449449504, 106884595, 632291542, 1049763207, 260857205, 924659536, 994973605, 863006201, 628738259, 879503281, 670455312, 167216523, 803546757, 270809501, 462428098, 895171604, 660499795, 521914325, 1058385345, 665953880, 1010764584, 512585354, 352304949, 60204134, 444603982, 20890104, 74705178, 1016210913, 340574371, 311459632, 370346865, 406499522, 455293368, 159385364, 869649794, 90882088, 319029988, 938565217, 710675351, 252782354, 600059728, 29021209, 1013436280, 196493222, 834430395, 1025273172, 359666822, 471502840, 696994764, 757494598, 104275631, 133475813, 1055743395, 911218591, 862057202, 552768363, 27533557, 169282309, 144509378, 110072430, 93148252, 257701365, 130067660, 199632627, 319990499, 940556657, 796130617, 810971411, 341863177, 423426043, 913865006, 678526501, 987984170, 964223265, 809194488, 548979411, 699677736, 187229414, 587628287, 570448100, 165067782, 1019973060, 460574396, 765284860, 546899191, 1007144863, 684424114, 542171596, 611305585, 139100770, 36660905, 131841994, 372843314, 470807322, 918104118, 998235420, 446056102, 112458059, 761265735, 209885599, 211521395, 906437667, 939372133, 13053296, 611250938, 283386819, 360574772, 865250886, 1946517, 449784948, 1060137381, 835159042, 914117328, 328406179, 801607604, 653938471, 387212056, 454142712, 1040743057, 631783327, 325303576, 1029356051, 388466235, 241574536, 1023505843, 609025149, 664890942, 424453239, 332919023, 998173629, 610200473, 97543888, 81114511, 313047216, 290512542, 208968046, 1050323419, 366161441, 1036565395, 530733433, 33260621, 1029055838, 675190815, 1036203807, 328573920, 543682315, 214035020, 208753052, 672473375, 699376175, 881720037, 1066512768, 159876044, 554230690, 168689544, 592560264, 257655647, 802637745, 372102691, 744640872, 514821279, 151001582, 430762698, 690209684, 335349836, 786674467, 1055274363, 540796201, 559697374, 692224530, 745002416, 1028034058, 522499209, 449300357, 781744315, 63037154, 657819586, 38866816, 765144076, 937786768, 130823792, 969645558, 272800999, 663185657, 638590557, 695174562, 304773638, 354190188, 945576783, 637845134, 368858387, 27498182, 820109924, 106849597, 878798783, 639947141, 748287815, 835114670, 164113023, 1023054319, 736229948, 524140838, 482898592, 433766863, 826418328, 181084778, 834198859, 636229711, 1045266912, 461250443, 744769805, 257658260, 315809561, 966451378, 876233937, 184072254, 984964893, 386595300, 551709856, 585222408, 977910404, 212046678, 611643677, 60801825, 671068954, 926297997, 236009406, 786525392, 884499633, 828257275, 465043907, 718573308, 546727366, 935121993, 516587711, 123246467, 198741438, 254273718, 76009074, 1061331133, 215341057, 907276262, 429724592, 327912198, 611830562, 570378997, 647640765, 436077096, 817500857, 957182501, 510179111, 440487122, 69847031, 799908694, 206275008, 71776877, 319497021, 377880052, 256671039, 969410591, 327308136, 496477456, 629810289, 799114585, 671623695, 484229158, 848768861, 272338156, 171029163, 960282349, 1065098022, 914462056, 1019563848, 555269261, 1001745018, 568118562, 150820404, 209661583, 125808672, 898259152, 544843052, 296913710, 721608798, 777152866, 711099485, 65762754, 256224474, 488640105, 461080177, 703374589, 57752116, 399207161, 445909203, 211406590, 739463093, 194566068, 576311598, 238276941, 52735425, 568025401, 1008885564, 409646566, 184915172, 186345768, 597289001, 188714659, 877709134, 995917996, 440671519, 442596591, 46765328, 1013958429, 764451771, 403782801, 522848007, 597235723, 924714554, 528199624, 935084440, 723230261, 805922078, 320792313, 208047847, 661970446, 593649634, 635445141, 235988523, 888060520, 654891089, 73679324, 312459765, 181157053, 299001923, 788925826, 654920417, 25137157, 437027002, 393177638, 684566992, 60442619, 981524126, 45457774, 646373077, 957731351, 975878224, 488153934, 300774886, 464964997, 728252322, 600174637, 116260650, 57165149, 556680201, 990504253, 920420021, 18705099, 110449720, 986961003, 1020875881, 789829224, 183399540, 135139268, 653081701, 316692348, 1055261045, 264838568, 1025404080, 335641809, 354742798, 113967406, 496466017, 453878084, 400547696, 802646917, 619265073, 777730846, 464032989, 612324247, 200807537, 473304658, 310133820, 344016254, 749658659, 380839166, 419323119, 603460374, 349635413, 13513791, 595127139, 407060971, 349526643, 100751299, 400970004, 721626168, 713127342, 786239575, 258804966, 139024300, 649975087, 37936327, 981296546, 365796934, 1008002541, 307354019, 360145371, 1018690574, 534536447, 209229822, 1017205610, 397800892, 185841212, 521036581, 839174312, 513510051, 913638536, 522451345, 416637119, 126430119, 590686299, 308010907, 896818921, 955932359, 160267004, 87295314, 421644028, 880095537, 347958694, 75028014, 578097913, 1047574805, 360926422, 726835926, 582760212, 415727790, 1022571483, 186533425, 825951142, 1050239333, 881143392, 713277491, 913343868, 654021387, 539076816, 314739843, 298887519, 768724574, 453623421, 825325961, 251256271, 905736115, 267569237, 802385268, 179635912, 26601493, 466061422, 366602914, 21888686, 531034436, 1059942172, 76506582, 706978801, 837977370, 874879940, 207568477, 807001801, 1052500926, 262879531, 899202684, 470493601, 575799300, 739581914, 573832460, 594513320, 90163749, 334591492, 521715154, 807265998, 675907533, 64576371, 108894219, 475928531, 763844676, 540165333, 281959816, 392173474, 693999596, 16066588, 96502120, 415348521, 198153502, 549486884, 437882283, 436126306, 852735652, 415408141, 204051165, 533012819, 592830245, 132533399, 305186467, 1012834492, 832662194, 1032295613, 249472356, 129918527, 32284077, 182904708, 1028204614, 599067794, 396652294, 147038138, 954528048, 131479707, 601919904, 1045623207, 53755432, 437264863, 57827246, 459514777, 184458933, 228495718, 652584082, 353514523, 767530252, 646126344, 1018609641, 549857999, 112914372, 501780430, 833755343, 513447974, 224344249, 244202481, 106124999, 1050028801, 712657723, 173633752, 256133492, 728916459, 917736868, 127999652, 847788737, 381485181, 461782771, 126372212, 804901319, 935278504, 560108727, 567204034, 28126942, 134029949, 711642949, 502223247, 179781682, 879641002, 826163405, 454226143, 865753442, 360835623, 683117363, 699462137, 389612113, 348076599, 638236240, 70546565, 364857661, 92620057, 566907035, 229937965, 990785908, 641967100, 989190025, 173598459, 952354269, 422309944, 898432077, 205197797, 744099630, 162399950, 182967619, 490480498, 347436856, 153391098, 811431789, 637102053, 490540934, 32190341, 760107566, 709603548, 421487933, 593466474, 159762204, 609951432, 821919888, 779058044, 644734335, 135965342, 342505678, 704429168, 133722175, 254373206, 282896114, 780183785, 868301767, 33472785, 933787090, 402569402, 45480385, 684158838, 70234913, 590776419, 410564535, 893073518, 1003227203, 178721891, 399484078, 876086942, 19251209, 820629375, 754220729, 467072704, 1016991914, 931486694, 4815107, 686415728, 555597166, 910911611, 179771177, 262672229, 869418429, 248597184, 94646654, 46774660, 341512722, 418971177, 629712597, 69605652, 176873586, 1006175794, 295493800, 378258832, 291624514, 923924252, 1028559216, 705006855, 694497883, 997594064, 1012712249, 1001611284, 425975556, 148279452, 1022137537, 493570715, 495873943, 601071611, 1008167104, 414116726, 450798828, 911686693, 617679180, 192190275, 335153011, 539833014, 507641201, 120648829, 859225012, 403070534, 353361429, 128677127, 335126039, 110862603, 934728229, 807596776, 955805024, 573198531, 439053124, 355499128, 1057068057, 601989277, 121139683, 967119828, 851514475, 827105959, 819148677, 271321871, 675921184, 422797845, 185370396, 698907337, 965886877, 934719396, 535659113, 770529263, 390998737, 1040132324, 803306882, 364999428, 186058828, 971437398, 739870129, 619352319, 546281949, 494918797, 269592470, 283482540, 758073226, 198481731, 727017889, 725464082, 799498004, 784177264, 159881487, 422764303, 691047325, 1066906565, 332224009, 810277249, 789005272, 432948511, 450474113, 1030794804, 725501422, 639359693, 402846161, 493199920, 184948096, 438951027, 189344376, 772695317, 947513944, 820414898, 611584491, 293428863, 932285976, 495028287, 556553453, 954331055, 358258476, 43780315, 616956843, 649464102, 712280076, 550195140, 241024517, 287162917, 691881242, 122261111, 794657320, 158444827, 499195433, 153141340, 984593129, 75565318, 547455824, 519348656, 491133961, 540045258, 100918545, 342299425, 217325113, 704077118, 300848213, 990777512, 656382557, 638296072, 568386093, 444953102, 808035570, 331484847, 639307178, 207801479, 390308272, 955121398, 619201240, 628618336, 678929770, 831647781, 1013159594, 405067070, 839965115, 292774068, 739158453, 364430520, 82888480, 206339240, 407329603, 330141072, 657969632, 504854831, 497151077, 405341838, 293007233, 1035369001, 303419209, 450800502, 538762798, 1050989986, 573957741, 37087167, 126209652, 1030881720, 833586601, 120649121, 816147382, 664618708, 709645833, 956243976, 935589521, 606667605, 905067862, 938137293, 1059375855, 700679902, 899743334, 714784745, 35347075, 281501395, 139642955, 699286134, 869196563, 412622206, 77643191, 989132282, 1044070085, 737606988, 700522653, 348603686, 1056834620, 994440767, 715686027, 997350206, 951122592, 440783807, 1016577437, 597911341, 496242581, 216448701, 487747504, 452385875, 193053499, 970346105, 688666303, 1004945547, 403059827, 1050741471, 791715306, 564169028, 233846156, 468476928, 298508982, 518661805, 994043351, 871865390, 896471637, 195438038, 36996182, 453262982, 911094964, 171104725, 554656712, 341906627, 806269964, 447397818, 464565361, 1052436647, 529943747, 367639338, 406853456, 6498156, 76112754, 715000822, 254943111, 398471880, 15213029, 792471764, 256475954, 637646966, 729165355, 967926382, 54545935, 804063142, 485598876, 164935286, 116007661, 533070567, 644847052, 1025441180, 95710542, 776412252, 937427736, 944020693, 396418540, 960389322, 716265308, 1030545114, 244849419, 473336564, 404924468, 578588325, 151730517, 493250545, 555160332, 675351509, 108296186, 1049903618, 519818528, 317599371, 624562859, 1060257238, 778034765, 907968505, 372716660, 820737478, 186354403, 325949165, 548206994, 384181451, 322269492, 551533788, 658139320, 556158131, 387509325, 182669270, 707126524, 508270393, 529426091, 129554567, 124509590, 466341905, 716436629, 491699036, 228676640, 1060863079, 555355207, 957466480, 626403241, 820702430, 917513989, 33871331, 128490611, 975217675, 1012267428, 935160770, 57913721, 972257679, 366582125, 448720534, 27621199, 822696943, 876733826, 89851287, 1059203378, 769799348, 769720573, 559865295, 693484022, 561288218, 330580695, 1047583201, 44069224, 325896131, 960557786, 29363090, 597710844, 427779439, 1676006, 486498332, 753462331, 677602722, 433002868, 821231449, 589312788, 56778049, 811815142, 1050441655, 604751196, 845608946, 202796981, 177155501, 269250864, 1009019503, 745959357, 794285402, 563626995, 232190004, 9622012, 671238877, 1053605010, 875508555, 233759804, 640347334, 37689945, 411285393, 359463426, 969231543, 877280741, 682531753, 961791555, 626824319, 625505282, 261752545, 322098421, 145616353, 59902813, 1054499355, 238765807, 532470582, 191279554, 228236736, 644073798, 381246676, 494509577, 870870562, 949445117, 574264392, 253223106, 286819620, 577976021, 834227664, 19364090, 758489914, 961849247, 578884805, 437281775, 971334502, 1054720938, 1032454198, 176405726, 1034184313, 707304638, 183610503, 999352396, 454477464, 410102833, 623113660, 173656962, 135917811, 559301987, 508185386, 585670435, 838601334, 259004915, 777153381, 959556307, 933894989, 98257814, 223907559, 1011177706, 189885325, 941711687, 829960921, 214976545, 959604342, 374023331, 855078755, 198306710, 314610872, 860783741, 215890814, 426821482, 199350121, 632255453, 423691201, 270396159, 211178924, 755246297, 478247, 992913972, 202425074, 966388970, 78599226, 1069779655, 1038329606, 431640626, 531381641, 897146816, 313370093, 918285557, 807049560, 619294029, 986872050, 656019936, 233100935, 131506183, 787072859, 171236283, 24577548, 448765108, 411696069, 66680641, 253306413, 308730885, 264550890, 339871946, 499001558, 28580928, 613087195, 900693406, 463034832, 241730111, 818029371, 1001660605, 344227548, 896315881, 169117068, 949858562, 487487992, 45496503, 941469533, 55910442, 1061538933, 613962798, 724494580, 762653255, 565327373, 30927999, 106169701, 617911945, 202811758, 651440680, 551989824, 613691854, 536241854, 952124346, 1050293505, 286549409, 399381479, 801875310, 431376875, 281436173, 19605083, 921592735, 159457295, 648468159, 702850909, 679193917, 204273157, 893874676, 61457116, 589270235, 498480111, 71876321, 869272187, 136969731, 130394602, 330647461, 382294949, 457292092, 406155055, 298339108, 1012226557, 633048970, 956916660, 742370114, 796630322, 902433691, 47426286, 676989371, 79743648, 693210433, 267573066, 889986085, 332770676, 748427649, 1039894051, 466821214, 756563029, 918073405, 522524707, 958926380, 394736073, 293227732, 770590870, 158697327, 593756947, 1009243233, 1019774298, 1023586393, 713242025, 145984028, 833339201, 12543975, 299913421, 80162197, 425704776, 145000436, 148886046, 533131695, 34205143, 1047973977, 134844885, 653468430, 410361195, 828306669, 748393197, 421754730, 836331775, 1047702725, 400785871, 240790993, 358587047, 977337069, 268008303, 39121060, 882118169, 735592587, 710953157, 926521690, 288562476, 924573977, 648474015, 774065920, 455841058, 1011231301, 355975717, 528456602, 124206781, 469467752, 987759097, 292454757, 598894496, 33197138, 583550320, 830627337, 137466968, 393090153, 15614694, 53390041, 749462282, 11250552, 174460952, 712231043, 411697225, 590502663, 612935493, 362637652, 931872392, 8949404, 899802049, 78176344, 993978949, 732913148, 309399567, 59545115, 369199363, 982425459, 307902052, 312690969, 991867219, 96140958, 441723834, 340066263, 57366821, 721636208, 438625493, 127206147, 573877546, 1044925464, 187885549, 296108941, 675926751, 44794135, 302929095, 837670446, 80133113, 378500309, 636886073, 585383129, 656225276, 900945653, 771775706, 234413243, 928075169, 869914601, 108037262, 612578965, 1071989813, 74391391, 838162651, 581038442, 38953835, 778366656, 636068541, 291419721, 412731904, 955514469, 104836350, 517109275, 409383494, 181624858, 157319180, 478628000, 495759942, 798492591, 306893154, 349912821, 527282026, 369351750, 789917658, 985498293, 498864546, 65530543, 649498875, 286760422, 121895946, 319278985, 862133640, 32245278, 299446985, 403892610, 78951430, 413291508, 711282445, 750525382, 599474918, 925429690, 392549741, 471455658, 561431613, 766223935, 318034677, 480163599, 347603118, 624669284, 87338325, 492319355, 569192003, 942924046, 853315707, 221258012, 883382264, 649126398, 760860680, 1029604122, 924903814, 733735594, 326878143, 526514145, 2799424, 124879075, 1057230962, 169719628, 992337200, 799735635, 548495028, 625680486, 726865408, 515210947, 491890663, 592070866, 6329214, 754242367, 396038075, 710198126, 540535199, 539160320, 209426603, 159249893, 993414598, 502631960, 205527976, 449410716, 960396914, 206104157, 159164356, 743246673, 345455064, 711623219, 569172914, 442137514, 682818631, 297246329, 496335236, 365190522, 374094813, 684692189, 320135957, 387006091, 503735741, 17584679, 258201869, 80061037, 636964172, 4628439, 35442983, 697734675, 18082529, 185812543, 350520310, 537379268, 732531808, 80009956, 711493095, 276204990, 292243873, 855438937, 393095143, 207871707, 798091134, 536205417, 708046815, 997272053, 552662029, 906937300, 125365224, 685497008, 734202971, 942613566, 209163125, 78493169, 206269814, 187185694, 502123932, 552117085, 608816914, 373181849, 985492465, 143748667, 431336046, 1058428146, 278369029, 101941503, 593708146, 341805648, 15406448, 577273218, 915063098, 598099555, 168730483, 784625734, 745586157, 30805942, 135228413, 880128388, 872145758, 744513675, 47921937, 469157590, 436800584, 882771555, 356620621, 740054958, 1054012483, 516436114, 568986783, 727947215, 20729580, 833845228, 193691375, 867691450, 445118161, 194220030, 835401626, 50063910, 687960313, 750271222, 1040278591, 20716785, 781419310, 19734880, 96361278, 912723125, 285173909, 232200045, 464328474, 406424506, 791429126, 840959578, 870083741, 43340461, 520149644, 13018987, 346457492, 273795429, 460395889, 453079600, 204325055, 474982403, 548289878, 680118579, 533310747, 775084157, 711630927, 157277198, 186307544, 1046259148, 759985174, 325829633, 463388948, 805949049, 41363620, 928135588, 753182258, 134499007, 1060464967, 510668171, 923078277, 589910538, 607386103, 378132271, 663190034, 6516377, 1071474611, 290326229, 153657522, 1072939954, 557701105, 31193573, 195443164, 259177435, 959985076, 466420160, 110841728, 85495472, 758672105, 786883480, 552476802, 680103943, 979412991, 275415110, 419145745, 23067555, 1034020692, 18852894, 112600675, 220467980, 892775047, 970868556, 600154849, 741726354, 509307956, 513823126, 620559126, 353919771, 859689323, 864797584, 15434170, 456470340, 217382092, 571088899, 187008381, 199448607, 1061860962, 778366305, 354768863, 765338590, 285235947, 750457597, 801261038, 30737458, 659217118, 74521962, 930663745, 1042992445, 276965205, 115821675, 947685862, 159079384, 459721327, 760404020, 408104659, 192782612, 46417804, 575135385, 494770545, 863346137, 381464587, 261020239, 508879090, 713035074, 390074608, 812129874, 750011061, 94767797, 666512305, 825268224, 90933052, 471743903, 110525359, 492689909, 712779781, 604753936, 583993545, 148388164, 542868152, 733321584, 836064362, 675968934, 12060101, 990065839, 84062789, 622471866, 1013796866, 677740598, 534813722, 487004390, 882594671, 577642400, 849782296, 347076612, 572558904, 95714541, 917420978, 821980518, 197343830, 609992213, 1066219389, 606600696, 602486993, 1054396261, 936356462, 69469499, 167007485, 218199096, 813301829, 18549691, 695739993, 510649298, 704483742, 556896342, 434587686, 194006316, 1068650564, 384646649, 806121200, 347733673, 582068425, 911307747, 165073980, 383535374, 485291620, 84206379, 991211196, 896096040, 681178171, 774400938, 184392936, 703016902, 412116305, 890519844, 355990573, 266511846, 519443052, 862786312, 968530062, 370426982, 909163204, 87977075, 247888706, 264242610, 393209181, 516209432, 770063800, 576540469, 447930924, 923087724, 298234842, 455029471, 953304549, 264099788, 68858148, 117433866, 37228665, 1005325359, 20068991, 881960319, 37440880, 637211997, 268600115, 1033239690, 698960271, 137762732, 873862884, 189469168, 357900711, 165983643, 502614250, 199518132, 699521363, 925035208, 573805006, 372274357, 514975471, 1068466701, 110473815, 703746501, 676698535, 643464517, 384255135, 291732433, 523161667, 1027958387, 1060703255, 50850095, 844796430, 1033844096, 811380549, 1022157612, 639739119, 62229623, 1025282520, 486399339, 438982653, 382478400, 53118129, 152481436, 681051057, 653618280, 798200155, 411456136, 188865474, 752812613, 173578042, 656145495, 393354989, 668205366, 320522925, 1022600338, 99415961, 783386200, 369217457, 1403889, 468562908, 218811475, 391905673, 347353692, 839316548, 27622249, 975200353, 748925257, 618547683, 1059481234, 248643064, 1069502925, 685096712, 1022945853, 1023101334, 163444549, 259947476, 871225883, 612168972, 117546002, 37873138, 803182552, 592094507, 1006059702, 103574132, 9960284, 382865884, 452223561, 142820674, 874727678, 119011957, 825799853, 175251400, 880186650, 632062361, 1010171688, 799521531, 795829278, 152386941, 541940807, 687270889, 319219737, 325634193, 259214950, 808349468, 196591767, 195257420, 970598450, 741788296, 155236997, 437254900, 285381966, 511307822, 467644989, 837963354, 289924163, 878454427, 398137073, 490467066, 453131778, 415376168, 964008961, 501316900, 76144004, 999958488, 51871805, 265263176, 246475826, 734157530, 614575887, 308923110, 699718326, 575696273, 340795683, 697312866, 864711155, 290563380, 387932647, 234714428, 42809671, 578150440, 241426377, 716788467, 852165474, 473962647, 286975436, 920125631, 400790319, 413676234, 534290999, 584787680, 264430691, 640434588, 345252027, 783206500, 373507548, 429272671, 489951713, 355484739, 288917695, 266815903, 294934663, 571271641, 1027130251, 154554735, 307359512, 940122001, 509253562, 109902224, 1014025444, 1071785087, 837250340, 246776313, 362379588, 692547175, 421168740, 1000187123, 638983516, 346890194, 37106549, 451276136, 140430267, 315303972, 850735570, 217294127, 283836171, 855728085, 770785669, 402454366, 307917287, 741546097, 575298840, 9554627, 407790064, 683425085, 313125446, 949742977, 1012519484, 1030296087, 1040719831, 20838484, 864082075, 91892706, 930470942, 6830275, 14965037, 1038185481, 812579323, 772337392, 582234703, 495719929, 604341804, 138432574, 440846754, 859834373, 889401079, 270625678, 185786760, 659629056, 985876583, 612170510, 1022734158, 364053940, 936656032, 1045635777, 708954680, 1026506325, 167403747, 134342041, 791683584, 389187662, 707661526),2830), 1073741823) + } + + test("test8") { + assertEquals(Main.minOrAfterOperations(List(442771833, 948202144, 1073212693, 936297336, 252293459, 675286744, 744850554, 479424528, 496042104, 814025435, 755447888, 744678234, 478063415, 646557751, 1016556152, 712394720, 254169261, 1052243242, 924949752, 830986059, 251602690, 864047696, 729396783, 988563475, 330091186, 1032859847, 660020953, 797514212, 832932434, 162982869, 243584058, 773097559, 636166832, 600922654, 772120767, 464790523, 648399992, 175779423, 278821123, 295339670, 307594097, 792223728, 681675335, 699026349, 723750137, 15357680, 908216538, 583639267, 546792479, 760967564, 74600801, 231539702, 385574091, 107203421, 503043673, 1005124610, 152723078, 64716869, 759282956, 936646615, 368649244, 866465129, 686699967, 1052341371, 952765555, 601492041, 950026320, 1057559755, 781246889, 273606437, 423951857, 799974818, 211920045, 452371415, 746995195, 313295472, 32526091, 47777104, 945548904, 812996678, 512990659, 845593469, 943804710, 898390405, 674512771, 383319973, 1054625537, 613946127, 968288617, 801119065, 480726467, 679301845, 992059686, 70961143, 21890989, 784593299, 637242598, 978299138, 149255204, 251306898, 358957016, 820951444, 56655336, 484290193, 938157880, 263052364, 856288095, 200688855, 44015028, 247595340, 1011121247, 515203093, 907918230, 780005936, 114010715, 142526046, 670776509, 957156802, 531461029, 392149677, 271782553, 1056965451, 746548661, 137531935, 360739412, 674789381, 803807320, 347937124, 62531977, 436515097, 673745839, 709905846, 834260481, 313897426, 638606566, 726319303, 665506882, 545637341, 519160813, 123665330, 720150763, 558843235, 224249341, 233542943, 810690268, 72411494, 559964882, 334551027, 519648088, 164416287, 1034094064, 719720970, 47490628, 193764155, 97953415, 530679635, 731175461, 706595494, 599870845, 56079735, 775989596, 900121406, 149016073, 268895277, 449928191, 943634041, 803651846, 452629238, 940797331, 450817053, 913628666, 290357091, 261763773, 604115247, 692598197, 990559349, 262971565, 138464499, 681321879, 102071825, 613335950, 697601645, 607407806, 289021661, 897644859, 926324368, 1039601658, 218738253, 1031636392, 327100417, 237533021, 467388468, 844302920, 299942946, 973104127, 139916069, 942927785, 878413246, 903955072, 564793165, 76557932, 219718923, 376720063, 861636199, 789060276, 327826326, 106947856, 23442720, 420762560, 535996713, 173096416, 90776334, 500870054, 962266709, 315225596, 713832237, 658133229, 725409298, 912968216, 627711265, 808773525, 988568385, 776986974, 574698426, 917827816, 572893585, 745229977, 478372848, 816741803, 634466377, 849162687, 977834887, 986418762, 386502663, 47221495, 650350363, 222637919, 169792323, 598283055, 117319034, 481700950, 1016282626, 160837280, 31887194, 844747185, 241628076, 855484588, 387723086, 187491960, 166151006, 172172281, 986854295, 1034487481, 954064977, 601031782, 289234552, 325448899, 417108869, 621221783, 787303075, 1063517522, 875454570, 243015304, 45574846, 605611042, 679121898, 597310956, 808354297, 696082484, 1056617369, 409791900, 780538214, 817215955, 928395352, 146787513, 575782834, 689057444, 95779705, 103691996, 620367758, 612362740, 414720322, 401818313, 346831002, 703764857, 705064667, 795977831, 163590298, 101573118, 160766547, 360604285, 1037564377, 175039611, 1069939640, 682697964, 536295468, 653613555, 445741100, 278404945, 118130627, 864588362, 950980090, 637837817, 718224955, 31292580, 774253590, 25636821, 88785569, 274108959, 965422335, 531328132, 147882666, 843615406, 688343689, 961499052, 991917779, 939932189, 1041987232, 495471905, 319001189, 47020123, 731439381, 1064123555, 607589770, 78817300, 803252903, 673699373, 915084549, 1011364413, 742434152, 159233180, 606064629, 848229811, 403688971, 1062565370, 133926657, 265953698, 139867690, 847318143, 493026680, 923069232, 504239510, 984225903, 888837990, 106287446, 347037898, 309469084, 428955194, 128607349, 1038715428, 447869982, 887815678, 279289057, 131401404, 532399261, 127400086, 232578281, 1014987889, 737060986, 356193838, 655814768, 894178241, 458114698, 92555088, 615234974, 1000702433, 229378651, 503879501, 654023046, 232667468, 826170313, 494567379, 270651962, 142527111, 688135497, 1015324604, 541204327, 1034098073, 20752862, 76177091, 576142116, 346244356, 440999234, 681265217, 274037088, 878380226, 152620068, 352138471, 565556667, 424682106, 120877159, 139465340, 718093776, 489346436, 826029391, 302641187, 665050861, 757546891, 847716053, 823682925, 967124491, 568239953, 805238214, 621053823, 770552456, 417161330, 365606823, 399149478, 952501489, 1033419553, 342376894, 186924488, 552479095, 156562191, 434932986, 585821552, 440320454, 308616796, 939066488, 665785518, 817961108, 478172067, 305749253, 550366782, 159301228, 879915022, 402956434, 1020259696, 693318480, 330041841, 919111504, 374452415, 1038557761, 774851910, 1060135328, 857594722, 541874928, 171274662, 423635494, 435446555, 711212463, 294783757, 646111925, 509450283, 472638596, 345539143, 915500400, 751363342, 260515627, 282670082, 413154385, 481786584, 305248111, 42620278, 827743149, 488257735, 662744953, 526231666, 738101955, 869946859, 527378214, 858751565, 306539875, 90254176, 126789553, 676684814, 132696451, 743227048, 893768800, 1070393401, 841640585, 1017143931, 523797527, 7207962, 967325498, 687085312, 417850355, 29648528, 1067313829, 326479800, 994445417, 417681365, 955670407, 492567837, 302231216, 428527156, 773021712, 226206528, 131598548, 898412740, 260255245, 48823538, 81245956, 81938611, 308941825, 849771852, 69578874, 609546294, 735837988, 548617394, 413518228, 23014114, 218850136, 805504152, 293498547, 35213322, 380116200, 1026927753, 264923601, 809138002, 201467806, 399858646, 384844738, 515918830, 606996857, 384794703, 172363277, 667481013, 84407307, 292058872, 660065391, 237934302, 133807565, 201556428, 892408148, 993200526, 350809199, 4467626, 814235314, 530191929, 510994708, 499550105, 299751028, 624701526, 638593804, 446077235, 630908918, 253235181, 82582412, 817271947, 1068394931, 953120552, 397468347, 808033167, 76289139, 1063244003, 214994043, 41195669, 882534062, 521086732, 369425067, 147889358, 698000235, 101648271, 1048308387, 323439888, 580128839, 602517339, 496771151, 343739074, 188541894, 1014057301, 185295337, 934909817, 431984991, 668730484, 957512227, 291418851, 313989946, 492357060, 846714028, 692370164, 797980648, 450975703, 707452444, 399313848, 404123071, 186423080, 63261791, 708664080, 195171252, 514511259, 89818911, 835347546, 182682794, 778158761, 965519233, 587615671, 124699100, 2931572, 520149915, 10461508, 91267328, 640110614, 821883931, 516739503, 620890411, 274721450, 346971202, 229341084, 517308957, 928821345, 1052302263, 263470269, 32944360, 189709400, 464078171, 530375816, 261315389, 488209493, 683361111, 628146738, 404438706, 22012624, 347509570, 75343048, 442156103, 16238567, 550119716, 129446866, 400931901, 846284418, 707535441, 329972131, 501705551, 610082987, 717134654, 529872307, 67613990, 523871364, 107492981, 1011152047, 193559265, 116426614, 979301448, 1068406416, 261946401, 755840272, 170691057, 737997967, 536976347, 548010622, 1055408708, 195964369, 197762792, 678428767, 285813316, 1020930382, 25123613, 350120475, 561923894, 939089483, 315634737, 449800152, 920604996, 958707536, 541018908, 834265648, 539236001, 320193689, 976079025, 488870252, 245147154, 530132776, 1023133150, 521409808, 411570489, 674120244, 440711977, 402508715, 827303002, 491642263, 197272850, 678471919, 982920255, 982548012, 339502077, 673026262, 137752522, 909021327, 888450332, 555533970, 262809618, 723216133, 405991942, 611293043, 479085886, 582818446, 235823842, 709625481, 939331378, 763317228, 183981752, 240151835, 505224299, 217392263, 490051025, 695327858, 843564105, 571549007, 761496906, 628423973, 851781343, 790320896, 836969659, 322804038, 379365864, 1062486538, 309726561, 118229534, 657327791, 668857184, 973714238, 736953889, 1072221283, 138294443, 843649484, 973277961, 73406827, 198556492, 371849516, 249062563, 782728352, 707066194, 329960845, 65368452, 23461959, 90248283, 911311364, 1004449121, 1002145918, 311267270, 824280256, 380421193, 414642179, 297621499, 628147180, 480697031, 838712786, 1072855518, 177047775, 505798415, 124207014, 52909354, 1029147860, 383025785, 689442711, 145866386, 452510399, 300072855, 45510913, 844488844, 252544115, 467313470, 786455208, 789439343, 826539810, 619683688, 370014618, 307851462, 466800372, 180958518, 662987801, 136715349, 193408318, 166988456, 711235663, 245476523, 222091251, 976789103, 200413333, 812699637, 212338868, 549487252, 622136313, 365770872, 596721076, 15327850, 257503955, 538083706, 217994400, 251430698, 620158209, 551179159, 713539697, 313198707, 665232384, 458706439, 753727214, 506205409, 736353979, 1006517940, 261753574, 769093837, 34136437, 563961965, 1025940079, 743622604, 162816014, 586665288, 1070108756, 292886354, 188353900, 643143589, 650158565, 584890989, 892782176, 460425726, 897796472, 393574504, 36638887, 902673105, 701620628, 391631664, 761225859, 143222854, 205449928, 200382284, 480067450, 54017729, 246494073, 293247325, 456465275, 526887503, 701976238, 12074009, 187586467, 231248085, 780557252, 669849208, 228779933, 1054388790, 642578141, 301086614, 571897563, 464254364, 533688641, 1016492078, 1066827986, 12263665, 967806060, 1072998518, 752791687, 577327882, 484231585, 561393049, 201487359, 312060599, 1016085575, 463965760, 1058532705, 492254943, 192390175, 920640411, 800167300, 965110239, 965085638, 1022950040, 1040270820, 545296309, 152451286, 767887912, 800277599, 402100010, 443527135, 21390755, 289202892, 396891961, 792446281, 34906825, 171614728, 475724740, 4019311, 811935875, 242047020, 803231113, 934245392, 997926942, 1032796028, 16659864, 424292207, 174735949, 1034765362, 1000823459, 326651824, 274532407, 532282371, 303460995, 253511318, 629442242, 479452029, 624875074, 77846110, 302533675, 506850411, 903702754, 502548187, 1026066945, 835470289, 641075209, 523369825, 485862201, 2300178, 763602141, 558601342, 248415712, 1069345974, 324665991, 205570715, 42688037, 553891636, 469724109, 740829923, 495609303, 921728264, 360792476, 249254882, 852494574, 1002133881, 95922542, 914377398, 746589482, 181395910, 3877426, 163567312, 456495065, 168039379, 931211211, 589986120, 488009917, 715846427, 890374158, 247787133, 746279307, 888687877, 357837000, 392527031, 632333728, 565565115, 983300821, 502662468, 449971112, 800413644, 690188685, 883364770, 722710293, 323438468, 813489836, 860772937, 895296540, 815228995, 996886886, 915438062, 557910750, 601052329, 155557223, 208122802, 578859130, 602132285, 632153930, 210246581, 752990276, 658572872, 689417902, 190410409, 29826761, 327699901, 47404999, 642261968, 184468579, 673057042, 952472671, 472605469, 34575322, 153517385, 844871603, 29120414, 460397634, 782497809, 53890546, 608015321, 1012921405, 354596812, 52750226, 1041408663, 270141874, 410130159, 964118173, 352112361, 206020040, 409772006, 127654863, 836206539, 503343888, 167424049, 438085099, 254789676, 359550869, 183500877, 782169599, 572467382, 59686240, 419023938, 399140512, 876465983, 63027668, 1034521361, 203455863, 66731394, 442150807, 210412953, 931980248, 296392846, 731867394, 966097264, 881308314, 990633998, 601734812, 403286928, 455744886, 99400071, 681138351, 715227217, 345969888, 947500411, 48186684, 729986675, 1012737685, 103038732, 585800802, 599843468, 949785757, 595371698, 569635248, 342532842, 1055173940, 935476619, 203449562, 666397653, 189901380, 920683462, 577193464, 249480230, 317934470, 363287786, 997631981, 449559682, 1020100651, 1049488174, 864655693, 644761304, 533357934, 728098072, 10695701, 390209177, 981877763, 872579923, 561886694, 591547922, 37044415, 223392971, 690406772, 406901000, 368352356, 801778641, 872347478, 809388436, 831696966, 940956261, 147907099, 734247432, 503548477, 133861879, 137887602, 21142275, 665259848, 322277150, 368411205, 635691104, 377298069, 196599254, 513850734, 258182364, 520856190, 880796602, 274588868, 595110225, 824301727, 932697551, 257642353, 934596696, 734541026, 208421941, 668166163, 610597364, 233726206, 1037026111, 454900880, 878595571, 19031767, 360189007, 586078636, 571157366, 1019713269, 207041127, 476039854, 512551009, 216787508, 435367262, 217806702, 1059309682, 66060486, 821514459, 1042729312, 153565546, 380200995, 342816265, 24247180, 391712289, 292094037, 1072382703, 104870872, 990885831, 826138394, 91013125, 878539196, 466394372, 991788212, 579268119, 9992276, 690035371, 786139280, 122212994, 767271173, 676773068, 456513720, 982433591, 652288438, 497060296, 443734301, 81663966, 166248534, 32465966, 363639863, 147663373, 448636936, 240293094, 125058480, 244099286, 381915121, 220220273, 256509868, 82057621, 685320606, 139653264, 161051665, 360653025, 141541132, 806596122, 1005322216, 884636048, 587081920, 980269433, 230981252, 525304928, 679321104, 163736244, 1014925621, 317040567, 224018299, 238311081, 1022419720, 235592750, 511393143, 328725479, 510541940, 123490817, 256522240, 231167878, 285211521, 650913477, 667577141, 1071190831, 841398752, 239749150, 967275261, 869776893, 517116424, 982214085, 266737077, 216491585, 375918305, 347871642, 489100488, 473643874, 56722942, 870182396, 919704552, 837118245, 895033559, 472868650, 847117049, 980404483, 899281418, 93455840, 314752950, 412100326, 83158712, 130118009, 995310402, 159986779, 314363539, 27653877, 756552076, 397328541, 1009358361, 938283382, 1024182259, 60445998, 1029471354, 164381300, 569292795, 726175722, 305932087, 388008085, 951371895, 342395252, 491728903, 666985505, 1029453701, 906120285, 640329546, 1063337298, 1051726119, 875758277, 306758583, 136186125, 1065259912, 289141099, 740205933, 189847774, 954010059, 291286252, 697152139, 399093892, 796331285, 732534146, 778880905, 245002323, 646557353, 623728235, 192682671, 1055612052, 217916165, 324907526, 812715085, 206784913, 708200186, 957999360, 277023356, 251528913, 34324546, 664048083, 707553467, 302024179, 74165382, 9672901, 687731118, 14864982, 550250898, 732313592, 863432248, 90113937, 841371798, 269781587, 152001877, 351196647, 39932633, 523924681, 186393313, 237761821, 325154690, 1048428358, 814094147, 385748316, 631064501, 427321836, 274907668, 601186033, 630677293, 894744208, 242833586, 129569252, 502788908, 517353622, 189257360, 570415534, 672003652, 194670357, 765594446, 77525390, 784088115, 890850681, 555509623, 97220556, 820258568, 263571765, 690094587, 1003372976, 227575227, 257497726, 112416556, 67051359, 62478647, 168545018, 644967115, 681162010, 150117407, 888711155, 471295280, 560705349, 594674888, 157010737, 895656930, 528444711, 953493402, 820157727, 313879073, 488977604, 733453489, 127847564, 493234534, 224119293, 312320985, 629965474, 343505707, 435863452, 1041087803, 457173175, 422287520, 351805625, 957716711, 147555910, 212214811, 146665798, 401453050, 365716096, 22081175, 885274811, 680095733, 741279153, 226452594, 543819005, 326360143, 645285202, 718442249, 1034271401, 88218397, 1018927010, 1037050267, 990632241, 307724029, 203119136, 397156292, 948707237, 652407505, 301392685, 117649593, 159105416, 493702892, 1047987762, 85545860, 1044557450, 749733111, 241465186, 419537234, 181277706, 373831116, 667241061, 585061063, 946153335, 480725773, 1042685587, 1038789364, 375770171, 938927749, 629148173, 249809061, 20429880, 929750003, 810838644, 630371540, 1038819408, 1003910618, 868057823, 207157105, 983809662, 943892478, 720992283, 573923321, 622242798, 924924421, 563623738, 1007424338, 868617735, 477212970, 936251935, 913638118, 188599629, 919223367, 177859518, 373663162, 944635105, 600725975, 16530173, 206613690, 26354355, 298756073, 119507484, 622048917, 419311362, 627966608, 877331849, 70741639, 22614197, 309507994, 320036829, 574495233, 431233776, 164174475, 904799668, 40335531, 635530312, 679175035, 362216331, 1026135286, 622880560, 132208024, 773715181, 1056268658, 237635106, 620902300, 396796117, 205977086, 938338781, 1019227371, 1032532105, 408819075, 878190297, 315164834, 535974551, 283533268, 259410149, 106480902, 700490644, 582157167, 82918643, 801735758, 1002477169, 438749676, 1039163160, 27990361, 742920007, 93216750, 655135625, 812247476, 917029964, 942368484, 455471473, 861594484, 547575310, 953388130, 1044416802, 910564464, 486994856, 492573038, 301008681, 245135158, 524399908, 1015516754, 151877509, 260840467, 60644031, 879925177, 981735635, 273451444, 162855024, 565658814, 965679692, 234479770, 730322369, 314094949, 190419786, 332689750, 194684127, 920108243, 34592353, 920211908, 729618321, 319752886, 598465453, 1027285219, 496491422, 512932418, 260454362, 11645351, 464849510, 47733269, 995621858, 610514519, 559989296, 446068135, 897420546, 82216989, 111407465, 548387938, 750292320, 171081649, 143601529, 684029111, 89952230, 613127369, 957098879, 473099654, 672224015, 644556803, 1010829031, 1023161006, 808079755, 1062781697, 1009722363, 892459431, 407149161, 1038906280, 16934336, 786374819, 762418120, 243881006, 532800293, 226365237, 428709735, 284202679, 767831372, 6021474, 658323213, 217203335, 927562056, 935324073, 235226524, 970283657, 761135690, 267578780, 765214530, 824186480, 824365495, 258173182, 736286520, 950989086, 876196640, 451103278, 508313241, 854414324, 54214978, 231173965, 888580114, 1058731535, 94187646, 593040458, 461060328, 429506569, 979537961, 647303778, 183877352, 12911310, 315840984, 192934379, 763314488, 946198557, 481972608, 480220454, 457653119, 613810753, 247633037, 947615091, 749132751, 81922117, 571319272, 485912541, 115386737, 461527978, 248641599, 1068652641, 120828323, 90087131, 297794252, 742809766, 1010454093, 71519302, 660817519, 444077087, 1003526957, 1068205715, 490654868, 1029460736, 746494928, 224740497, 770301060, 720855316, 581360404, 988707866, 928399905, 965114374, 745308687, 199360321, 203102721, 934937032, 744245420, 878180934, 857729716, 1037337500, 317549087, 865090635, 572079940, 857050529, 850855103, 1002505615, 319266890, 28055897, 763943211, 554462329, 668685449, 1066968994, 197437028, 145440631, 936507904, 696416374, 271853246, 816735321, 715665634, 202054628, 71164618, 466722364, 507859009, 415280704, 951660869, 275740572, 445044072, 979786926, 470821757, 484242935, 98771512, 1003512150, 334414366, 353171279, 675673558, 213043268, 710262756, 703597180, 771326630, 871170825, 659291395, 603508023, 326906316, 317935600, 366086118, 31167260, 942108758, 164122276, 85263394, 639817250, 45943077, 974791652, 229469943, 130385299, 837428336, 493836136, 131797672, 627255310, 884397071, 123442017, 225633351, 808611370, 262531786, 295095798, 567183088, 143238103, 800197798, 712171531, 961623692, 887876960, 43056950, 1052331996, 848850500, 76748118, 228251417, 925724540, 462301825, 638886095, 259760104, 882463777, 565997333, 151909409, 178726295, 424831880, 257168229, 361073278, 885420793, 152944825, 328500905, 687603041, 743794976, 903410606, 12855351, 626079203, 216028903, 92642998, 47414829, 682983842, 485617579, 756906580, 570363989, 956471900, 719965248, 967361113, 868539997, 699683014, 211650099, 1037540361, 345635865, 389347890, 476077361, 994499640, 1028291529, 834306605, 1029553125, 641050892, 477601086, 1007370324, 177792963, 550680943, 108119284, 757461961, 81584886, 48639311, 591096797, 98897297, 365330766, 490876619, 954245955, 83171034, 900534324, 577274397, 51147576, 24323520, 862700047, 809218718, 996249805, 442435377, 57043664, 287541645, 820174283, 567293118, 790244473, 352092261, 308915208, 261557043, 458441846, 326861946, 639320396, 658648293, 528666626, 506449911, 330783890, 368306108, 940985299, 506266932, 1070025838, 401206691, 72722254, 140006717, 652038196, 765024443, 77888691, 684336101, 268181097, 761580742, 280002522, 314154474, 177936060, 765454542, 699353922, 490232202, 402046750, 760080260, 342429550, 388547346, 191928715, 823980446, 856514875, 838522533, 496502355, 1028798744, 788138051, 914824516, 1037282830, 502725806, 304993183, 328173717, 948357368, 1022637452, 288762525, 751026883, 900484039, 331611280, 542256525, 472296320, 177843346, 608393631, 564733699, 2427725, 982913569, 950848240, 716521055, 447329071, 824411370, 256220589, 553541880, 606042789, 875890403, 1050311317, 859565101, 320563437, 454011631, 466699106, 597274817, 962609955, 1009917296, 500517699, 723511627, 689195448, 245213879, 638825486, 446020950, 323037487, 361294168, 883844529, 932688654, 327111211, 164193364, 676014624, 773963473, 511453789, 392747490, 510127173, 9957283, 344145170, 1039230671, 432442647, 798228654, 794208012, 352617017, 737755721, 173817985, 224651572, 97677311, 188997603, 194934080, 182625374, 315885666, 1025254460, 172124652, 236119152, 313227804, 549033687, 1042047750, 864394903, 279812048, 112168024, 689412015, 595500245, 271063028, 514089108, 297487983, 820347781, 499338638, 357174811, 745990859, 311564553, 585232037, 313742504, 911121469, 503724102, 191703383, 564199181, 74951068, 274871025, 500755817, 525890252, 303218660, 601930438, 931644479, 10734852, 751513852, 267295276, 118077265, 609256961, 780622675, 809280506, 688410694, 413037226, 829822621, 342032386, 427608527, 803886857, 158371216, 39140459, 797450678, 882004271, 328374424, 242303652, 762043501, 207409223, 774216830, 211803230, 437618696, 718609533, 181331692, 194894671, 298499920, 126191957, 332265505, 592182781, 616512026, 355503503, 273670046, 235410546, 408993594, 671784328, 112943589, 610307977, 374740973, 1022045301, 1062835799, 266149367, 135738528, 355239744, 634674908, 873030188, 165162356, 517506209, 458165738, 924926973, 204155061, 746841239, 27424370, 594506378, 50316036, 577139648, 131560511, 441753959, 764839510, 269017091, 654878004, 1008627727, 578184903, 618726534, 66120294, 45795833, 1032536720, 455840330, 844247448, 304480768, 171822288, 633211992, 32024712, 756402530, 706937034, 91816418, 340411285, 783335203, 360491406, 506672978, 156088178, 584383734, 457177775, 382983611, 456036763, 152155162, 291980061, 483130496, 876842911, 570035949, 1006960421, 714365865, 85238713, 755369107, 348479457, 392384807, 841401474, 92140905, 89012461, 421591411, 96599457, 271227520, 414488941, 307659813, 8207658, 285635812, 432288084, 847133255, 306084910, 805368057, 851748574, 528231784, 313068754, 117917386, 62720320, 335128839, 819951135, 517126964, 227200635, 476474194, 926418673, 1058922135, 595237826, 549741037, 822372030, 883678602, 706902805, 256009063, 393103699, 645625994, 428796938, 109548657, 186198610, 922536495, 1061868151, 157056376, 861895848, 666317845, 231417439, 807287368, 696708071, 25255493, 149005456, 465118256, 631466100, 507354740, 854230257, 417899512, 1052711380, 940042062, 1034957829, 900018801, 660333452, 933439034, 86208000, 278147481, 195129921, 902750326, 445698205, 622676210, 130881540, 619998138, 468190553, 576341512, 175319599, 1047683961, 170021376, 154089110, 432095236, 208994543, 592849667, 469007476, 36154998, 600504265, 112926311, 356000528, 147688311, 992095864, 58133533, 665156747, 150924563, 163204763, 1008381582, 904227591, 563035579, 334371054, 585071159, 92579272, 278423858, 83040758, 993047692, 640500571, 866229310, 857311937, 94970891, 56686452, 260957282, 231873768, 373832465, 887771144, 935917046, 184258927, 684594342, 81539705, 198143845, 176607485, 446704507, 531357648, 777837084, 546245714, 181710466, 499137705, 143841053, 390002389, 648140345, 758768258, 1014984850, 430694277, 202122768, 607195799, 942952960, 276127623, 985735071, 287019352, 659424631, 943382275, 41063674, 297193346, 920061387, 486369313, 374229555, 463702322, 1047040407, 407449608, 649177727, 743797350, 663942115, 675935231, 1002340073, 65232415, 1027158377, 460455044, 897782541, 907726622, 546529875, 48537668, 389701334, 918588348, 175209098, 929543311, 183587390, 1044038395, 371446552, 500149378, 224723368, 48614861, 463991563, 31544287, 487162964, 404557001, 378928706, 952628661, 1032653349, 259139965, 127528941, 640528640, 610378299, 514084146, 419308479, 994305217, 925539837, 105213848, 488676904, 282965274, 310468294, 213450030, 472456221, 290197334, 630585149, 69223620, 773369484, 776081443, 249684396, 932877803, 418095852, 144414046, 1040579590, 626288791, 544107619, 525174858, 641358230, 910149610, 767842765, 826216071, 170776437, 661465857, 1016274898, 623991020, 327597005, 81734730, 149467264, 79281007, 755887507, 878655772, 249124515, 122385955, 476465966, 505508884, 248461642, 234962567, 1040428047, 618178439, 575262045, 304373155, 788565720, 173210491, 1062665596, 736223406, 996113183, 978350164, 824533158, 124421554, 513174536, 234354528, 240768109, 146124979, 564281100, 64546195, 630669815, 444298398, 619218110, 689670752, 680246423, 994558382, 32615039, 908587059, 283180383, 526071414, 884760053, 148606641, 338270531, 804411093, 779444202, 613079579, 763101950, 53038615, 96551375, 691404157, 354713289, 420383968, 20133887, 301480801, 410203652, 764819119, 769399931, 120603426, 650722135, 801017704, 689997942, 701360893, 254186919, 779793851, 657430038, 887843479, 867967424, 205538804, 138354481, 289262170, 1048353694, 369793126, 224956069, 233806904, 1045929141, 820039215, 1000038386, 689455367, 237792485, 47782253, 930000816, 881303442, 597135612, 425527742, 333958360, 305551343, 298851770, 461371236, 951609645, 1016725154, 177515766, 804338285, 299526249, 299850242, 547085730, 874527047, 659019825, 231550701, 556621942, 124885701, 917103130, 673261326, 1037875432, 336208005, 6901412, 361151687, 598393749, 717840655, 762041763, 997491393, 198031813, 1060692077, 608654323, 16644964, 1020247160, 145995327, 237025725, 23583521, 837238289, 419623051, 503083848, 280300496, 847519858, 1026090128, 961281893, 309659831, 907537921, 436388635, 59063804, 649732169, 1015279568, 302078459, 677319729, 596743703, 750668013, 357895222, 762415049, 146467087, 1045835730, 1053203870, 605015135, 455783968, 139933157, 567464851, 861619591, 650209842, 456935604, 318611437, 292515198, 388598729, 391164429, 654951716, 421464679, 137359418, 659844899, 96044007, 645108940, 418781964, 543381457, 4146066, 699693491, 122892350, 745332724, 189365751, 536090603, 127140908, 61531405, 440699997, 244846569, 864269483, 1001051194, 1040823040, 410386312, 1025865236, 222806144, 180872676, 659551750, 535576394, 990483532, 986153391, 933157717, 83745846, 559328217, 327837618, 522280886, 910865353, 969004051, 432973347, 971258648, 151511939, 318183079, 760369650, 767755668, 712674852, 344799177, 534853638, 513455674, 242966530, 1053744714, 7468986, 532761952, 488271586, 686830839, 239775147, 670078304, 350549920, 721826090, 376660305, 1019680448, 331591691, 1063751511, 69486704, 966458325, 1053088927, 717895049, 1073682649, 461013177, 851646588, 1018622099, 1051663323, 900254454, 991771859, 242843598, 977210734, 965527856, 650325134, 726720317, 1050960547, 817459726, 411411929, 169760386, 392526616, 527272859, 838123815, 283171566, 1006452565, 927209547, 664230771, 871799577, 56079725, 957183109, 609208625, 598897334, 837437136, 596663582, 617942279, 752813542, 57890840, 633465915, 302460623, 557520280, 217626087, 285068696, 249424268, 622762688, 520482616, 348588149, 210157350, 676136193, 818712846, 600478717, 16920190, 494251020, 1066549860, 52653622, 415669872, 734150181, 276662621, 624042077, 943108797, 415520492, 512301230, 737401107, 714560668, 802866989, 952199285, 709617759, 6062620, 5362283, 737542391, 340599339, 74611070, 763607388, 673625681, 1043191021, 92304325, 442396045, 86470997, 133544180, 868305573, 979085857, 985188360, 354653553, 118899380, 822842126, 294230228, 746918672, 606477458, 914162568, 607857919, 715893510, 987635992, 294907971, 229029460, 544706481, 977710001, 893436315, 760765144, 57604246, 436112853, 885982841, 412171908, 896410609, 388327604, 512519094, 1003189644, 436101921, 380189041, 804641793, 1060094442, 61790186, 293528891, 10143865, 837283631, 859213690, 935749717, 151360637, 65598314, 382682541, 908110381, 222868991, 540774702, 389943704, 237769889, 455633321, 1019197964, 920112681, 69811476, 1067039890, 173088254, 734912804, 458538758, 915453829, 1033893178, 726170405, 445054199, 13662763, 9480592, 607982289, 703298148, 835279638, 298246525, 22243278, 878023602, 692624027, 147171756, 1064531052, 833831498, 863904706, 825292672, 262385537, 634046231, 485628967, 490787989, 813056381, 971847593, 1040135956, 1031278395, 339233841, 816310776, 415345330, 172471307, 832185967, 47979221, 197317909, 537595890, 588269732, 315841875, 529516102, 14129592, 66239602, 290539915, 382421137, 259734, 334282613, 325310747, 572266728, 526573140, 231372912, 787603614, 475335817, 744919667, 96827946, 337147341, 504299541, 382692810, 874034715, 757816746, 946853611, 748587869, 853231068, 118531775, 658035733, 1001475124, 631149049, 450820205, 573080806, 807927519, 912224047, 559102608, 93095826, 639590717, 230017183, 914899902, 768138810, 536781051, 734871676, 623014716, 425144854, 868927612, 12185404, 588439554, 43440358, 496781417, 264220289, 711657570, 681166326, 466990778, 846767492, 773203616, 825609657, 445904077, 680475479, 961751444, 159490725, 225527690, 788839023, 234402449, 922934711, 506058722, 925643369, 856459387, 211982564, 482225749, 549895517, 994021581, 528200543, 130625493, 1027725820, 481161991, 97314246, 778769285, 756843435, 939580820, 673181067, 286864864, 1043473847, 676506158, 1502894, 562434185, 375275551, 333254027, 610137353, 650467951, 337960047, 227536728, 341309552, 644568984, 397795437, 362663682, 996447293, 938144830, 415443978, 143078768, 371750699, 59628377, 674261707, 232331861, 582441450, 252714515, 249009037, 589332073, 98908807, 217707124, 980097061, 613269084, 321137354, 582534759, 850129164, 588229153, 57172548, 838967170, 1034579706, 746012542, 615849921, 293397230, 1065975237, 685632712, 522125013, 807796276, 362422217, 357590294, 562124139, 816482216, 929439047, 338547513, 45252236, 702205258, 251944159, 173786224, 219979997, 53339446, 700599133, 973773107, 787544732, 338038621, 728407261, 743316080, 314561908, 929077575, 1045049630, 289598757, 327437298, 1072993144, 152159489, 6244390, 871951097, 626593687, 126202381, 14606736, 1053864043, 937237280, 709658125, 778617643, 686754438, 827948206, 745440566, 10266208, 957571351, 819805794, 252548303, 956098819, 7563104, 362120572, 665088621, 574331334, 749645418, 20200288, 160653881, 5512495, 247025262, 12727432, 711032724, 123269976, 967025023, 928230550, 1023846939, 845760019, 235484393, 975227255, 1028208135, 320301498, 647694453, 191669257, 613049086, 461411358, 867238446, 79885076, 1060872056, 877081671, 757915753, 242382633, 329003062, 151585730, 1049914500, 1063488522, 533995979, 92616339, 843868080, 79368313, 94265123, 475333316, 18369548, 513133539, 484462959, 723979451, 784330570, 276041066, 1063022356, 337180544, 984211694, 56567158, 141209952, 728842116, 724067250, 1024107848, 966013933, 896524111, 19683413, 422003039, 649843795, 252788265, 26004690, 743052445, 194999079, 319892575, 209007835, 628713913, 684441385, 608216813, 506492617, 726219878, 597689549, 518237691, 771016341, 869964290, 4675739, 792924076, 523832508, 666720092, 57465420, 845294125, 214071485, 70623527, 1058590431, 238613190, 930147888, 245032306, 357334391, 100352942, 1068597281, 835134746, 839569509, 1013393360, 865759587, 609964521, 3747212, 308266664, 563575818, 645360036, 279728487, 722786305, 359161051, 311377931, 300184178, 145866057, 185652137, 747169600, 567613721, 644198804, 590072041, 921486141, 977706874, 355650567, 773170466, 937254683, 188958830, 467586528, 288009431, 19000488, 836910237, 295610691, 408818581, 525607613, 693200342, 817979671, 492253544, 899397299, 243743313, 470757692, 903636465, 20269100, 24114772, 140523896, 257958893, 809942231, 106461399, 32412498, 135184000, 618245686, 483046855, 225897065, 540988970, 845502773, 141826680, 660472276, 168129606, 748332134, 487846816, 675353997, 970114772, 592618048, 74523334, 640061962, 62478029, 94704935, 314071595, 801480503, 529000064, 207094484, 622050701, 349953394, 547607228, 317175969, 249381055, 171021457, 588318065, 951096394, 500466993, 986326824, 398621697, 558486248, 1072471839, 730955492, 1017475018, 291475614, 158343036, 343718663, 836528203, 421393952, 412030634, 464735820, 371828147, 785382522, 978546858, 922267931, 890505126, 498751519, 315476042, 115244503, 415361065, 431414084, 1037794411, 762706023, 1070380807, 885411951, 364091547, 399339438, 641754579, 173171824, 358749350, 914622159, 1014166908, 357781953, 922086421, 220447526, 75534040, 152205493, 536570581, 309022596, 470620614, 13258383, 487609773, 778732140, 484705091, 365706286, 849306878, 599441855, 409920013, 975584761, 499543531, 262912628, 790840880, 464845129, 212897577, 792618087, 631703734, 694610620, 817500173, 1028772793, 777555889, 742635786, 165670078, 388320503, 291492313, 1055624974, 30323749, 675473357, 456835122, 499323514, 534454572, 982760680, 839537689, 611554192, 46745246, 839738048, 890635428, 1070945674, 133014261, 676358773, 103813060, 567980569, 54391672, 979593424, 487517022, 848227819, 486028107, 489276825, 929406766, 1054523254, 76023420, 998652481, 651563731, 591353390, 971701438, 483463340, 21122352, 521803139, 551635532, 640432476, 887183183, 196262584, 733934434, 597573016, 141929056, 238627485, 134077397, 81781275, 736593580, 1040582319, 688310548, 445329144, 114925222, 687695624, 109770076, 730104259, 103664785, 563093918, 732474092, 794324692, 357652404, 374139752, 888117793, 329468317, 809288839, 630135518, 1041447816, 865613380, 150008613, 173984591, 732383007, 390745381, 797509228, 893497432, 560503715, 97566190, 136920793, 49013249, 830315779, 572865626, 970562628, 929913893, 1047152220, 631518486, 1046647466, 884105768, 733707538, 174292602, 176218949, 758445734, 393833076, 229196235, 1013601181, 1026906824, 308516013, 147236992, 55599172, 657297045, 977758268, 257330645, 208187173, 553805443, 78955422, 584779646, 377513514, 451028553, 139505153, 822990830, 110415014, 530528585, 591349049, 178587297, 295838624, 998228774, 642448531, 1012277805, 810370860, 587931491, 88691644, 1059982669, 49136231, 924219182, 360434118, 341333892, 651021126, 775282860, 63817981, 1001548984, 571231214, 647923967, 689119526, 933947763, 1042553807, 132193732, 6261593, 157050586, 535554545, 328587476, 523706906, 440213380, 347118389, 897626292, 919129073, 486306358, 377267915, 921050565, 1024141144, 105077752, 426501036, 254311066, 517086280, 900308765, 441900211, 591588724, 940738691, 74929624, 508014848, 23414541, 279366806, 238088467, 662202231, 67457727, 615575593, 440160068, 651011487, 958325355, 486989403, 1018260608, 5380109, 875924767, 344260978, 924208325, 274721821, 239205756, 659026254, 536213965, 881668911, 391268416, 325516241, 596667224, 395421076, 783745613, 67550053, 540522364, 1025423419, 335368119, 793300265, 9861574, 634728382, 623202442, 690622391, 573604692, 25966988, 399997275, 480728235, 556264862, 812557458, 1033737113, 303755328, 380155843, 433013726, 154752051, 759948292, 922891923, 553849004, 535746514, 458494901, 506629172, 601924053, 537063803, 196175695, 646893055, 534333188, 829732225, 887007248, 80279190, 401316122, 749929030, 144580753, 824421966, 329395734, 115235394, 1044244528, 213555660, 658281565, 725380032, 509302870, 886258591, 269594701, 91599562, 116135583, 456240577, 894291715, 11472906, 1072871906, 94840632, 630353412, 575339451, 148275412, 976002975, 840836165, 170404077, 872717148, 866563679, 1017371483, 947523050, 971728543, 20125236, 716486606, 505894858, 680691184, 69223748, 316563333, 369512464, 532055275, 328378554, 278340861, 378238664, 959382720, 787972475, 688549786, 333619152, 244746843, 858692104, 198164666, 217967174, 887830685, 957621469, 510937198, 299483078, 972271641, 820983640, 949665582, 813502667, 381923831, 587158278, 1045563094, 214931743, 804658905, 7636210, 857134908, 190539990, 422157014, 274556759, 694305943, 711184495, 382975369, 492066515, 827974163, 665675406, 677766818, 445633644, 715721355, 53956821, 626619554, 41948156, 195425614, 944182892, 555567213, 722307781, 227823798, 61893822, 1042141244, 837805178, 132985567, 538201922, 894158944, 1058714029, 217760186, 1012471878, 63272615, 593148389, 407406068, 685406896, 894249882, 11649754, 159136104, 909675861, 875340470, 648074786, 813651545, 502129584, 836122684, 298119556, 779765750, 1037450861, 508753558, 180448480, 634932495, 362782202, 930815320, 111900495, 552574994, 995721468, 372508269, 612274316, 1042830327, 877462386, 470620769, 1034827408, 80532924, 112508501, 306489629, 60504534, 31859539, 869430494, 235666928, 954180133, 801629899, 435476, 1041344391, 977977850, 378339884, 255138102, 210591736, 979831490, 433286011, 310368809, 542057247, 666033285, 801765821, 115989547, 634045241, 912698160, 629735149, 267832054, 250570542, 858675324, 57022337, 168476237, 782725525, 340429515, 504686967, 336869536, 116186300, 59368579, 451546385, 881486884, 867137629, 347820525, 1031262062, 505133600, 562404174, 903174462, 123225196, 268129350, 1021263549, 772992625, 720258632, 954108749, 8799105, 601857038, 284523611, 168180886, 1009060657, 158900868, 585633474, 940221791, 899909074, 603653411, 548428916, 1022484039, 434938695, 312992082, 224580090, 810588492, 865640611, 666673777, 641891809, 16610084, 61012766, 386335128, 993560698, 73794471, 886508727, 538369059, 357030887, 41069523, 205864361, 994137699, 1011312714, 25424144, 1068895758, 82751453, 569319977, 915716833, 919330509, 388722581, 811786961, 8469578, 706546607, 167659126, 692148463, 204060895, 248905501, 991393310, 500319025, 530993325, 134608272, 805939274, 979922731, 458398542, 493885852, 689619099, 889355406, 746693042, 221927027, 1051647734, 859077917, 252883826, 804926042, 50182281, 642817788, 194428351, 829755471, 897422596, 282856795, 656779992, 429391177, 669921974, 823686059, 755192507, 336290481, 890588537, 993683396, 43265006, 860810509, 872238601, 413554387, 929773487, 632541065, 91516025, 752087861, 1052703320, 85251889, 754796929, 138542961, 411658252, 869627580, 173434775, 87967552, 41258240, 779735846, 223985739, 291447284, 668294310, 747271817, 625467643, 40571773, 60333897, 940053392, 125205232, 982936933, 951369771, 937844746, 259842874, 457103147, 948001453, 118594216, 116096489, 380758777, 652675852, 585608484, 234365869, 813209702, 704374325, 203502145, 425787559, 280729931, 863442747, 669807929, 1042829190, 417813103, 933597043, 239999194, 539297752, 146525994, 181138700, 651171181, 689834265, 528917099, 48241386, 717447005, 398054564, 680172982, 240361780, 982664684, 379278047, 1016491352, 49155188, 790269652, 41548006, 253646484, 19340443, 54458795, 308446211, 338867195, 659513594, 664589686, 407642142, 102120779, 955240453, 129467633, 103523342, 964252770, 856089509, 922548169, 392332558, 319964058, 141337855, 128591244, 995132616, 800350132, 1007829253, 531476973, 962626690, 972155703, 568031418, 189507629, 755046133, 781198751, 697967149, 582199190, 42636510, 711212005, 637582072, 6071574, 74343990, 871050896, 954094499, 1050003585, 595344666, 58165151, 960840715, 241664468, 967956307, 227479585, 8946478, 233637169, 495529794, 200675029, 379177087, 917563884, 531979659, 464344328, 109996946, 954861758, 890241523, 401230726, 85651341, 88701587, 239750401, 1050662385, 215749295, 634924994, 896513087, 396272267, 34293212, 908319072, 632393331, 670083772, 88301835, 937407849, 473076908, 430124039, 467479337, 248247801, 766894476, 44555557, 517242236, 1039637293, 79819488, 691061500, 535508738, 1063813148, 518677421, 426801549, 162062920, 384750771, 622566384, 869331890, 398702480, 656121862, 115209447, 338848737, 767440656, 270609200, 790302078, 106447186, 526588293, 53498055, 748528267, 943616200, 718500488, 191233384, 696267709, 1037707526, 97329950, 99748902, 982005194, 551129120, 665133700, 660230069, 97526, 1026725003, 334855440, 613946191, 152668472, 800772745, 664972745, 60163982, 808478954, 895978216, 996257541, 665316872, 535224236, 837027831, 874176396, 54109956, 520108341, 1034531377, 1018039807, 95795714, 1010454335, 934625915, 136187532, 272258180, 327168049, 956218493, 413747584, 375076222, 384263961, 779717118, 395115368, 730885886, 97146587, 1032858786, 318681944, 166853497, 343283761, 502513384, 1013160338, 314249463, 512767211, 327743679, 540796371, 336715166, 440050824, 928818059, 713820165, 941701073, 1001576686, 653809897, 740209338, 47237202, 408167458, 532054193, 168694764, 619360305, 326880810, 7235260, 35932154, 363060245, 273777362, 793183929, 55654688, 1039067751, 932041787, 560031347, 975501995, 740762641, 675071756, 121156523, 530663321, 1023982320, 860458931, 516817023, 457065466, 894686386, 710873020, 68864934, 961406085, 400537689, 764253557, 705016821, 824226648, 720901552, 661890537, 378395013, 833742169, 367051508, 518779304, 740373083, 1046893939, 401106534, 172836123, 806572796, 561659537, 604180966, 955927404, 158319414, 220806016, 522326438, 665221085, 24596655, 720224760, 845699551, 597034922, 57156608, 386114799, 140950606, 141215349, 746924682, 347369475, 711858819, 894995201, 394879041, 983093984, 484505503, 369787433, 1058037241, 378934074, 830565731, 482484517, 248950017, 860048591, 213551549, 1060364014, 65349535, 625921937, 227718460, 459945073, 842335946, 139602241, 269672578, 480842792, 685871773, 591593727, 116354601, 322218118, 76842333, 949719044, 88771812, 1069342305, 620771688, 863491533, 462853515, 961933338, 623492565, 1002263468, 710914714, 416058737, 959000007, 575939598, 317166778, 711302897, 888985298, 286383605, 664254073, 584986758, 680847999, 948174039, 464275486, 531707458, 1025135172, 339472830, 321892062, 723682574, 448161982, 845449140, 828858214, 582760497, 898684035, 124568736, 312753556, 119745654, 559200836, 244120139, 426261095, 1060411226, 379685862, 730170831, 435528012, 1001601511, 838444548, 40812997, 228448087, 80686316, 500623200, 653833041, 290088536, 254819034, 1384107, 266392054, 11946219, 328392908, 830120246, 813501570, 551383414, 1024165277, 775787593, 1060664743, 79161763, 1058721348, 958678683, 347149687, 303051352, 497987747, 668521286, 183009077, 274291909, 864893066, 276908466, 342012901, 671839586, 106204145, 455101669, 924908929, 823479557, 497058612, 613084220, 387866594, 538508710, 426919553, 610305828, 639388986, 708943832, 633352083, 739909966, 785764238, 647879704, 31750206, 546237507, 486594165, 228002067, 166169510, 332007620, 900202364, 578736507, 608880932, 681854990, 879236094, 7382160, 928092988, 206464568, 1066091793, 42673608, 314244258, 898103883, 623234155, 789771500, 645918108, 1009301255, 110497574, 327799082, 703602136, 510636760, 415716596, 626202798, 453207330, 216850266, 890558894, 229583956, 208400147, 713303608, 588727511, 860012551, 95467923, 599800228, 1062935393, 492758273, 383421625, 656241004, 480082833, 364980311, 161836522, 781131822, 71663613, 72339260, 623328386, 792111278, 985724510, 1055339369, 921972117, 996610392, 114623401, 222631775, 979900705, 80921083, 967046505, 177837276, 38759930, 989668080, 417927290, 446963719, 212114988, 1064383537, 816497242, 841509029, 589159093, 646781024, 813916633, 896448592, 1069467687, 453551697, 594080895, 301168400, 320887965, 374274885, 349601606, 144182001, 56369930, 279695030, 632936155, 1041193920, 226914967, 835540015, 8975056, 568035518, 1042409070, 269109979, 1044159236, 971028665, 383825988, 769267150, 1052077106, 960122336, 422294438, 650722482, 1063954707, 213933660, 322659545, 1056845482, 64322657, 691273288, 1054435680, 899478347, 577752777, 1065672711, 569124483, 1062486093, 117608176, 405275400, 410426898, 198875793, 409841212, 690265938, 641109640, 428860932, 700551787, 149557235, 600958791, 113794143, 149047093, 803058381, 416356736, 53507594, 866727968, 645406786, 405314802, 633799332, 476399140, 133535272, 660251310, 862433285, 374482549, 414212571, 226191552, 308065987, 339840959, 398953455, 12685555, 55687719, 52456763, 310156600, 138639751, 182518951, 489761430, 797025816, 812776015, 104203436, 275952541, 1024874018, 436281393, 361525169, 979210248, 264015118, 643817536, 249314306, 513184108, 731789801, 998779579, 482766385, 853396022, 277744454, 973317832, 551537620, 13961076, 848919469, 68453199, 970218822, 907913607, 945988162, 229163963, 1049695785, 759545714, 51596661, 260068680, 226211161, 629478813, 900950218, 1042622966, 809941521, 789964535, 558362549, 739985420, 222867405, 730537734, 485238500, 1007995829, 725632750, 8708279, 541088999, 695502047, 480220803, 927755912, 426052540, 604753151, 339509829, 960932205, 848172977, 892791064, 1029636645, 1039886095, 29664924, 201636782, 819923414, 911541530, 289664035, 740168305, 55825966, 816876555, 360545849, 700957541, 786969678, 35919805, 483967591, 610745735, 588160633, 453136628, 891476030, 798257403, 128749291, 189612630, 620992672, 259193473, 24302669, 478594416, 49967934, 193131514, 1053131694, 930404177, 816653373, 720361743, 711459180, 65043312, 246065708, 704195528, 310666706, 880246553, 564916431, 581836819, 469185216, 305017745, 382880608, 616938659, 226564550, 647186278, 690766209, 993175168, 75735718, 593995039, 951326297, 968623543, 987718134, 39131600, 633121516, 558464247, 510822399, 933326629, 254413570, 936331174, 930963765, 337726970, 151710957, 205279991, 891800387, 368199842, 1044978668, 599154517, 233261409, 512108261, 890189988, 1012112287, 1031899403, 185189996, 984348105, 752392927, 485963751, 1043684600, 1005917838, 873907522, 484133508, 497023719, 182300803, 541203656, 471591657, 673032289, 925338421, 155254801, 388837490, 906136043, 878039336, 752941816, 556074456, 892578385, 122408421, 955665587, 642284052, 255443972, 970158354, 801798781, 923826227, 296796419, 244871210, 879286210, 1005984294, 610847359, 487784505, 141273767, 614756154, 797381795, 5019963, 376209844, 422054297, 194303847, 18590794, 379751866, 830132090, 680795189, 374974774, 955793270, 885046249, 538771546, 735235663, 19467736, 659322113, 232661544, 380306344, 203532052, 101264517, 660151924, 552025115, 948691783, 480712141, 241301847, 10250783, 189566356, 1060696053, 361051001, 199289761, 267939153, 817416930, 277671764, 484960334, 697140238, 313195435, 1069667335, 722507253, 169840574, 554945399, 971734561, 1026240719, 526226017, 301823112, 356647359, 1018391356, 283663952, 403394521, 51381855, 593755243, 994087957, 14402259, 1012581780, 329096274, 794380730, 180686858, 320439326, 114935796, 275754623, 81060069, 982833503, 417272250, 332902481, 428433661, 799870511, 947727638, 316973287, 80641105, 122562401, 330811685, 828602170, 41730046, 538737863, 389701991, 908248111, 640630912, 30780066, 1015535577, 428558756, 561749044, 720746911, 78574004, 954371675, 359980285, 773375881, 460699412, 75735087, 942330461, 788389257, 838124875, 758713722, 699742701, 317946927, 215204199, 767530875, 789658680, 813882146, 332304101, 366163573, 590165509, 464908833, 41024763, 649944667, 391657524, 507358058, 832330123, 1046667275, 843770222, 837311313, 363707050, 28269891, 299283265, 65406897, 190989325, 715891779, 21381420, 220480807, 830873948, 491031005, 283847562, 896354132, 880035355, 451784656, 749661600, 648544900, 836813259, 1072490637, 470378462, 510074816, 74938499, 44994909, 358197242, 489515125, 444468778, 775617371, 560423773, 51891789, 985532961, 252809911, 436770508, 382009194, 330560227, 493920447, 110822013, 1055905233, 447793890, 425703726, 110551733, 914138676, 76998607, 353056259, 336983385, 297916644, 613310847, 227312388, 176510450, 568264218, 860684761, 267364426, 889157589, 326674341, 1013557734, 657444685, 261432774, 631603017, 517312698, 763607558, 380346943, 172254037, 150014710, 702304360, 130451504, 998702221, 309351311, 118921594, 361814176, 850877900, 944496228, 783375320, 272878108, 673672428, 131698766, 288343067, 582217669, 166794573, 162224663, 634579643, 586155202, 497393436, 316612944, 831066124, 535243632, 424887101, 681223056, 877811317, 306894568, 466456837, 853368394, 456032404, 7851219, 430217817, 880420407, 654905260, 867802016, 81459350, 1044491723, 394388310, 394261862, 997816597, 610613127, 436492348, 271263101, 457464885, 212722763, 119999000, 535650520, 393932307, 30306276, 976868955, 847787771, 1011544788, 85031503, 975612703, 200177867, 217188523, 215025034, 722881372, 334197887, 512066332, 186149645, 695947066, 90312207, 778936092, 248331142, 537387443, 887683151, 376318089, 830076838, 954865806, 296422681, 881239875, 1045245143, 673245938, 903987313, 597842698, 654340724, 44393981, 287468359, 502792910, 313080589, 697043439, 717864386, 137455116, 329061951, 674817745, 401244742, 547881338, 60342598, 767104241, 573560972, 118935043, 238843687, 1033146868, 368106729, 330168793, 1041095400, 969192904, 39257410, 1035167319, 77660837, 148210576, 964518222, 628311305, 64794564, 416173843, 596930492, 633925645, 516436436, 941145223, 569543021, 865448792, 315174496, 525715971, 875361065, 794735686, 967488380, 330626142, 946234092, 265279304, 12642565, 791402104, 148954355, 661577836, 317403923, 576774934, 645622724, 541408160, 519822052, 995599341, 190101212, 162024914, 161265118, 942453776, 934576487, 343898401, 197074785, 912471485, 474989319, 917334125, 1023611332, 555295301, 1060191059, 918110642, 131756351, 618563809, 768676421, 401834740, 65140468, 963588751, 648547305, 189734286, 1060048851, 392014273, 359745470, 166984448, 314706799, 1036735212, 767179582, 500373016, 715771157, 314092490, 699206982, 590299199, 590208512, 338169438, 186834365, 72028990, 881452389, 583046677, 811368100, 51420656, 139267449, 604282784, 336509618, 356528889, 426334952, 631471252, 639103282, 747890000, 632775958, 207765752, 322190302, 814067432, 450546039, 960021526, 765805992, 923855297, 671024493, 653135041, 496136452, 772630858, 565060060, 222050106, 811924309, 1058737250, 883355484, 777884178, 281967493, 322821889, 177769954, 763659513, 484348124, 293535671, 953071424, 834804601, 751198816, 918803850, 64358512, 745632622, 960236764, 704549223, 79543775, 786669696, 753587508, 364641721, 889964385, 202668723, 409490899, 416423550, 73934114, 374587700, 182299637, 754315767, 1073173592, 640543367, 352269518, 137384406, 554380921, 1044082994, 815667661, 24365651, 854646504, 544659472, 921725207, 604321762, 565344833, 214057932, 53647777, 878700967, 246147998, 432129387, 496005630, 947865518, 667641154, 133265927, 773571670, 115265044, 733856347, 827821127, 1026226567, 361219759, 946228339, 527685950, 435041457, 516583957, 493007280, 766197394, 930351264, 186907168, 491857771, 874560672, 461955423, 493856822, 967907138, 708195727, 255146547, 728429693, 913037566, 952486451, 969331706, 719169614, 718408987, 1071549147, 883639905, 775980440, 891289538, 854182432, 736835218, 351682980, 235126803, 923487426, 718193950, 700316679, 132450574, 397834367, 918894528, 169954099, 968575545, 1068081660, 178925814, 382527900, 185354516, 34555493, 339241393, 268908179, 332564465, 133691430, 443901993, 530020716, 340118011, 218764786, 690185182, 621099353, 612463402, 44528120, 675563892, 464098580, 1024952232, 782025550, 234703439, 401673558, 452037438, 92031808, 181545919, 793368082, 685685171, 543124427, 573670506, 206170395, 928833265, 355385270, 66852085, 99988247, 657587444, 673235076, 155479365, 490365712, 208191487, 1030664759, 597927267, 661499416, 849267973, 699026938, 722319569, 407356243, 345241160, 1003401127, 853589134, 1031785908, 376667581, 370205100, 1052435904, 332317694, 699541763, 651689815, 135280365, 69317176, 889257100, 804989262, 764680043, 570174487, 21165167, 274536572, 195199775, 932759605, 825899672, 892230188, 575313147, 508473528, 252918049, 804075762, 549915967, 192046136, 905583004, 477133091, 444475701, 128879169, 1070658463, 858782547, 755823710, 127435537, 849681547, 805275834, 510656690, 336932542, 546792229, 19515960, 66207773, 143079507, 645973097, 867914252, 17082462, 864013837, 120505757, 661974435, 981067119, 991732734, 453201238, 124720225, 986126593, 377576371, 256966844, 1030930045, 246743852, 74728232, 562838261, 653444366, 143342296, 359630081, 813782179, 114407741, 455931448, 596854147, 362227854, 248261701, 773714142, 167914431, 176768160, 853178505, 465561829, 859586037, 547776942, 413886094, 26850334, 542304152, 798058311, 865152051, 37389205, 456633287, 339304958, 468759632, 417107331, 965680917, 723248438, 846554934, 302641013, 767371364, 522057315, 812527240, 837737782, 250837554, 421550409, 865527343, 269535937, 450788583, 278051886, 205137063, 534388294, 105824958, 535374068, 1062360283, 426078616, 649802670, 961571065, 262804773, 884763339, 108619363, 293932818, 699273877, 737271741, 714535339, 161497342, 671242598, 1065324030, 787585334, 575622219, 876120160, 951829335, 85541337, 166492675, 496855130, 971091909, 215959519, 957334356, 748547363, 610856958, 501058467, 625447779, 62742239, 814503771, 392379068, 109100076, 382807700, 361174153, 350490865, 430715877, 210397764, 311353978, 258467309, 517989393, 273897459, 355670608, 673606237, 940084995, 843630151, 525416422, 930518563, 528600691, 296591901, 692461713, 497424623, 615161298, 999397808, 863846888, 334075707, 357588094, 785331621, 650655411, 162446610, 1069712216, 1020382494, 129969111, 669828952, 501340009, 358059438, 25732286, 235709546, 327268665, 565122317, 894145564, 1055729700, 33118164, 819022409, 919987831, 956637605, 559763486, 278441130, 452813983, 732363522, 901893748, 275438505, 970807706, 956145426, 76288463, 450494341, 219058361, 236703579, 974174422, 667729851, 11661051, 157980096, 821960659, 718832842, 106304971, 596882454, 700687462, 796178599, 151624394, 16311156, 347514325, 626998673, 380278660, 84708591, 670656723, 400604502, 781348582, 152457359, 642182965, 244198902, 704873231, 1016755519, 896528700, 341879658, 220544256, 767915279, 513102000, 715596218, 414960696, 561711156, 416604661, 997907913, 938731116, 1020166084, 168000130, 973927374, 541216441, 1057838201, 760315532, 632799197, 909906031, 230818099, 14226990, 315170730, 34598524, 403064812, 749523577, 974871663, 529528263, 825720413, 562917757, 441031678, 835121985, 879443523, 356572439, 99235474, 1053204733, 288837016, 135508845, 519240159, 916440096, 47177707, 492895403, 320028201, 613030481, 499031878, 870235751, 894660691, 986840878, 144557203, 264852412, 778636231, 847164076, 608236435, 1039716785, 727300400, 643578300, 653657064, 746008917, 201512854, 950761858, 107445199, 381520273, 203264391, 345601123, 395760896, 640529016, 236295347, 126691777, 13535899, 946868390, 650919448, 543047166, 441140626, 799517447, 510736305, 1048067053, 838612744, 809128750, 691417491, 443737650, 640559306, 280346364, 730283129, 103052859, 1011301584, 772909353, 64940844, 891181853, 1687413, 248050249, 908772360, 907470409, 598609229, 1063729963, 672276411, 679098028, 487914660, 480880534, 133262507, 898255894, 705385237, 709198121, 36013520, 310693963, 127809711, 650724277, 6659383, 585507127, 184784826, 804226806, 790655753, 939345896, 908289740, 143310008, 953663576, 989272357, 613991308, 774365364, 189818186, 454292703, 703250799, 617653783, 157272212, 675497028, 927703827, 457695292, 36761306, 638505508, 55795152, 281117455, 625152232, 979185273, 184025164, 244152237, 217650786, 379390034, 194507631, 313241517, 3434469, 115202351, 450394887, 649998921, 872464592, 72823727, 425655990, 934638084, 595753567, 807607270, 993530933, 656923518, 762591248, 119100311, 272247857, 845180201, 755306279, 729918520, 749848897, 1025765724, 450044830, 53204338, 555776949, 586024108, 1070331004, 116930695, 423075250, 929647274, 944925831, 382781069, 352938807, 1049564827, 170090147, 649372701, 883042568, 1013376356, 667674598, 685490042, 547062475, 858934639, 843253120, 138561286, 79877948, 290671506, 147093816, 459694048, 390406348, 248386835, 773251703, 283278942, 546965748, 358209969, 706509657, 649206682, 122941947, 893257544, 49743282, 286396042, 473833435, 815132826, 659470770, 630077961, 492891220, 393950470, 823316243, 858732152, 447495764, 313020523, 227168521, 184105560, 1022822591, 7540503, 735600021, 713722962, 935162128, 894228649, 948348389, 739318693, 524249318, 1020579893, 1072006136, 689474180, 454473106, 410585061, 160021963, 789613368, 757377382, 664100802, 986187826, 190401549, 117109385, 844026137, 1055098661, 997461204, 52410610, 173205373, 1009317016, 156854479, 415281196, 1022954264, 704275631, 387783113, 588652673, 116498137, 224725344, 613314705, 447494663, 1009832784, 789850105, 243298569, 386787988, 356543878, 341593999, 907028103, 632561211, 352331762, 932186082, 1030420186, 1020488916, 1036993830, 457844956, 205541971, 266937051, 109868507, 129917547, 901251632, 880364595, 142253329, 307947706, 394122045, 295459500, 587560839, 162491466, 137129644, 409401851, 389531204, 10688112, 745808547, 393902355, 691855077, 287865598, 1050966960, 192531945, 396240618, 297193530, 681753392, 171817165, 556094670, 556613364, 898815193, 926979004, 526800156, 436492657, 154749393, 632281375, 1019074350, 48834815, 117126149, 928253052, 994823755, 1000673253, 722093583, 230047267, 818779957, 815412230, 420101977, 332630764, 437781792, 740241589, 233439322, 744607612, 531299202, 397612858, 272361794, 304308333, 708114399, 242639843, 575471726, 625809255, 714110504, 946448231, 295207353, 891881821, 895174903, 856394281, 571202790, 554767369, 62232915, 7793317, 843726496, 780281613, 587612232, 946661360, 204442236, 346135824, 715662962, 130410640, 125295773, 795886378, 1012708049, 228482438, 751289842, 740775520, 718409234, 684618403, 364996928, 148733451, 699675595, 283622801, 471394789, 933123991, 297393669, 691193979, 96216182, 108294136, 970656338, 1022173348, 184837635, 539956785, 397805218, 328884994, 572134647, 884804736, 629286782, 604017205, 310662335, 764823162, 523750665, 385339977, 943515957, 1044875373, 717177255, 331413799, 402341317, 340899991, 695783961, 615397752, 145709586, 100315756, 38421798, 364770998, 215972955, 889850712, 161905244, 416777971, 708015886, 1035022413, 341793983, 1060589574, 100689992, 611387145, 209574358, 267365198, 716793280, 899525629, 1000429130, 640830706, 54733068, 29957624, 945343843, 775111107, 391870298, 872930742, 215647240, 284460956, 686878826, 455618108, 484601515, 652737947, 883424985, 950103371, 677018594, 270954145, 254059322, 617253551, 414058041, 873308555, 889196749, 974945933, 182325130, 1039039889, 4722896, 1052292229, 400630419, 320263090, 84736373, 797269840, 405425782, 186810897, 740272553, 547881551, 824873154, 1051807453, 577896205, 693951589, 429376433, 906932907, 865111681, 241732271, 842744127, 831179588, 1048776492, 385816447, 871486434, 635551740, 866983234, 233555158, 1039712063, 4238341, 936499075, 601387597, 745934112, 571583904, 200783145, 483694734, 324757456, 871032872, 49642797, 302303861, 486411774, 995520795, 228212299, 1043390281, 1069348516, 76944331, 873117417, 246265960, 561994837, 957269783, 599137455, 816476263, 456449425, 303810672, 722402103, 85897836, 602495264, 698737605, 394344768, 480327235, 22231622, 396420189, 789020656, 597294451, 1024461361, 775683081, 29783171, 115988327, 17258584, 828026971, 838928096, 493417429, 309234657, 427573231, 918589206, 224522583, 509817133, 746860070, 442345339, 245304678, 270817403, 109643013, 951896669, 462498456, 347905260, 646563383, 95219188, 547594513, 17375329, 783931976, 841337936, 2788777, 358726853, 697875325, 617194979, 390001130, 1027626473, 10719218, 509806306, 329149920, 379187341, 624674945, 235790807, 538713584, 758948745, 496487237, 309964529, 360829037, 436812749, 713739433, 279275991, 984622604, 691988149, 858918041, 657332940, 252352288, 1015654324, 892948604, 655458745, 96829259, 911666565, 326351478, 29614015, 191132243, 294539920, 578917330, 828015173, 237152717, 364105429, 104656627, 850225902, 534075828, 908881600, 909047815, 1035090551, 972024762, 188288766, 709182280, 710210762, 613109837, 21137660, 63375333, 63758228, 301735091, 647165823, 630014003, 296322, 108360003, 1014714393, 36478002, 924573420, 599391303, 636569162, 173018528, 649939151, 276447236, 977139299, 923706318, 895713043, 676180475, 423630984, 866953964, 697274770, 493782378, 113944170, 619046658, 448310752, 893236342, 833936304, 653797218, 378849683, 945256246, 244734557, 1014980100, 252317647, 463537327, 252389855, 132898092, 816381332, 623597502, 185344809, 651040473, 533838578, 804284968, 291030951, 37820892, 316958017, 609197588, 142589960, 60221591, 720739557, 161911776, 754764208, 781109219, 601959195, 331127087, 1049042990, 400259945, 166975436, 1073220154, 271368427, 612597746, 927371072, 456581429, 969062948, 816728661, 162616050, 23029255, 128504356, 18721819, 936966592, 138284173, 300992648, 1060245365, 323898769, 579394188, 522431259, 778109885, 6750852, 99440879, 898612296, 803565023, 761749370, 322319086, 334435714, 119175031, 59056920, 998058345, 627166838, 550537242, 801968736, 964418942, 759487778, 1040678834, 229963102, 148256644, 372284382, 983042163, 716242316, 559456900, 476800350, 172319356, 265616680, 705604184, 671905938, 999805518, 782289449, 334064432, 198961251, 992431352, 226602906, 691899392, 378939785, 246393425, 33635082, 836817777, 300339867, 247585539, 864625818, 42654583, 201213087, 285955991, 400756335, 181143559, 800083298, 498314948, 141488149, 518005374, 796698288, 705684971, 548977521, 939736435, 565448224, 914259848, 948593713, 439939146, 624470690, 676881799, 187500228, 915724886, 808275054, 58337707, 655667512, 565221835, 63647359, 552582280, 983326017, 346554493, 646692540, 545338858, 919658435, 891352873, 107894118, 412771201, 523294696, 686937951, 282927846, 224788146, 62593963, 947235128, 1037455188, 407365508, 799199843, 130067783, 218070775, 445850567, 139122000, 1051947264, 860706740, 353685069, 602278754, 1019266115, 776483362, 440650186, 312362663, 572943088, 428357884, 692443253, 466921628, 247630914, 854911282, 610735, 399530133, 184507023, 221523139, 509055588, 968914016, 542542399, 524337781, 1013057535, 979570604, 681563557, 1060598583, 113314395, 833094232, 565359195, 43917135, 665159207, 778555216, 101931162, 624224644, 546091339, 665789841, 906666931, 322499208, 131638745, 877572502, 668492726, 958370171, 321663164, 671115722, 898439707, 392938960, 665383301, 448287914, 39799982, 64009858, 264393855, 446017917, 254612548, 656471947, 783219228, 279293685, 338760770, 885121864, 850114032, 647826426, 551153205, 387114572, 968937577, 997076768, 18495681, 360295623, 839011506, 520323835, 58788251, 866156148, 675957705, 273189321, 202745842, 64778733, 662638121, 1836982, 771271203, 643154684, 1058463112, 670145783, 755614629, 445157579, 216292508, 373682958, 1064318809, 1052788805, 777024480, 919165636, 1058510418, 46910694, 13376743, 589876792, 72178577, 480403827, 1011570011, 137369326, 580172447, 463712485, 769199069, 611031047, 921122515, 1044902203, 964170877, 543924560, 965938927, 253913739, 4856184, 454758582, 346230664, 129320522, 1001016989, 1031944792, 731269674, 218844070, 937946144, 767956594, 486596575, 416893626, 1067306105, 926619060, 963447755, 898268128, 402426179, 297411019, 815422808, 225949972, 462105024, 918968298, 374891217, 135060370, 64705950, 451369740, 53527682, 510318856, 951672654, 726935962, 1054496186, 881926543, 833724268, 25791484, 508913976, 848022978, 720798000, 707495846, 503022854, 700378164, 343075559, 686428124, 813611983, 993809681, 254334559, 195154556, 1036598236, 333961772, 71609189, 30407160, 221463338, 436218284, 569863711, 479233850, 108549157, 242811448, 920780400, 868459342, 538868952, 76751078, 322365546, 588773974, 473597490, 366431227, 907690467, 987093336, 16891959, 862142952, 289985612, 1053036938, 311758305, 397886833, 1037342191, 431331733, 191113891, 244896382, 561527698, 1004680159, 1066209245, 283605113, 196569834, 811305679, 603835003, 959696464, 121044658, 640351883, 223565309, 524799002, 698414844, 256632503, 704554846, 223448844, 162449663, 751183442, 933165089, 457554496, 858130656, 431700716, 986644830, 1045710078, 726297620, 1060825059, 1038057615, 1012183486, 272618313, 227868977, 627825554, 829780914, 9378141, 815295956, 756991213, 899606551, 767457140, 980640265, 558430487, 369405916, 955920271, 502165598, 914751511, 552152813, 1004579018, 547489709, 8220912, 87958740, 738404769, 995302252, 150653129, 290790096, 971979298, 282746559, 106366407, 993829502, 813937866, 352340720, 715015291, 1038317376, 281505358, 856064755, 596800347, 132158519, 480450099, 409939985, 1013571373, 854724940, 415611107, 1058919588, 658607736, 634654117, 621836459, 735989782, 211728222, 322242724, 281077599, 867950719, 150787684, 875884990, 1047593502, 405646812, 742237460, 330138755, 327305523, 108489706, 454695648, 941745874, 558465517, 746162758, 164857259, 589017603, 920908062, 58988037, 106752127, 740865859, 141412068, 84145833, 1016981077, 510868873, 405786324, 684999676, 639194150, 102286576, 804307414, 291733283, 910749976, 654149304, 549319383, 503244940, 365756064, 823081090, 921097122, 376866593, 1003357621, 225480771, 831752780, 999352789, 1061056340, 444037989, 237932980, 56062874, 998126956, 407444754, 84752870, 717809627, 340438593, 447311538, 646759919, 879125461, 674839877, 479007047, 168136424, 188068059, 124032535, 670070855, 934992884, 228779164, 949873448, 292205151, 130663019, 1010353502, 347933843, 720994176, 252926169, 671842729, 310190081, 905028282, 914473658, 218208849, 965413113, 410257567, 750170933, 726169492, 375332893, 606452219, 418502932, 836337093, 637311990, 930639779, 70797987, 861493746, 543513799, 583594260, 521950794, 863199680, 405679640, 991410492, 297364308, 690404036, 929332088, 291573604, 97312325, 290646541, 980801052, 994411196, 603124084, 865034684, 1016033951, 548351971, 393889619, 649435005, 832365607, 833462503, 282877862, 673139571, 720095043, 526298959, 457580632, 730630527, 1391483, 408826200, 772265352, 147076340, 733561368, 109887457, 1061463877, 509108835, 680700907, 363591270, 33480207, 969816392, 398377739, 681147886, 683499242, 403510484, 452434064, 562905482, 1023296187, 451004968, 948492653, 863914149, 815419389, 650190571, 671397347, 508633369, 432519597, 859641588, 40563729, 803358329, 478860567, 512241168, 533346180, 10096084, 141203351, 1023356072, 764558486, 972640716, 117393903, 400365749, 447845736, 5859052, 784157343, 349383664, 185065854, 981579686, 112449610, 685580786, 390427665, 810206345, 468813819, 257225384, 605930017, 1001996269, 807306593, 271021020, 909740296, 684037427, 968768088, 362487587, 531672371, 860825920, 306259235, 1003895460, 114696886, 1020589667, 561498656, 320972963, 318626703, 543679406, 635050950, 334856168, 308110273, 627032581, 647411230, 396846224, 1057776816, 723723485, 92934458, 798536680, 1052895107, 420987060, 969609953, 510804244, 571751120, 247551293, 732372721, 149533967, 784233601, 771849987, 585598771, 218159794, 693476984, 133252892, 591513014, 606123869, 203373467, 441850650, 849732528, 805101993, 868308966, 110311393, 258332341, 891012040, 294005884, 371163894, 698253771, 893757920, 998039539, 827655149, 66653284, 902878018, 884019232, 275810146, 344811242, 626443824, 989622469, 197140327, 1034446928, 229768305, 23856505, 1037125844, 1064519746, 812998685, 133513731, 365675870, 798323981, 854205860, 175800843, 327734829, 1007262548, 164405357, 663452551, 1064558468, 623012573, 162319258, 782007986, 815174482, 586563968, 619291240, 507389185, 817559915, 409026818, 77061903, 265515098, 437213081, 971199754, 1061594502, 178916196, 890606858, 78257592, 359721178, 576589294, 531963973, 388510964, 199287278, 451153199, 67750174, 274759242, 558435400, 946597485, 581031473, 648850880, 639149134, 445238014, 521558630, 168193399, 815812323, 459031218, 1031364735, 951446761, 261766123, 255284642, 789166779, 740694014, 605701740, 721378361, 91341793, 1072660250, 46645094, 752916616, 496212837, 218045029, 794845284, 720634434, 204343020, 549818435, 589681429, 916394338, 476513325, 765124551, 856223208, 883047967, 885050150, 525882462, 244010849, 297987126, 78455675, 71475137, 672676260, 359790486, 55600450, 89962262, 490047463, 74630690, 994457764, 107395241, 198914615, 120045580, 17816342, 899460218, 33208065, 10793456, 1896774, 509306745, 816089934, 885521489, 904439992, 195115825, 617776474, 284009712, 915490210, 350018770, 622540080, 806496940, 333982902, 1011435969, 229202171, 958568409, 611498151, 787032716, 590101177, 619845116, 160870108, 189575206, 247153779, 565315736, 830148014, 172997091, 176877432, 884130882, 401371617, 671231523, 959147036, 66380381, 1046467511, 241513495, 989289184, 389182709, 386325974, 563109164, 1053707686, 108703160, 27507885, 371941526, 62693902, 478829950, 598974679, 856232306, 56815414, 401954170, 430453870, 743946432, 763138587, 1006499135, 401819309, 985019107, 306569494, 836084972, 88222419, 897193380, 641199238, 463773769, 1012630126, 731234821, 623635538, 365639123, 320048760, 444230140, 679066671, 968177359, 1015675087, 580454838, 640222829, 217499039, 606862715, 842523024, 325595416, 784653367, 34369812, 1017991656, 246653437, 52839824, 734667823, 917927280, 736307432, 4883342, 187161604, 253799716, 10460482, 227871068, 372487518, 953691318, 559641793, 151879695, 431065265, 446621853, 383958361, 648765615, 690227145, 19026142, 738028319, 362800164, 723174707, 258169409, 203368909, 15028693, 148491397, 1027548350, 1024042764, 711777077, 83454736, 1053008724, 27166498, 545178179, 568901380, 377111901, 477566680, 425320656, 571700384, 656456894, 462983560, 893533949, 513508575, 775225175, 377854996, 18582723, 248093643, 832822018, 834955183, 711292218, 273168218, 204816048, 1037344710, 229876325, 621278120, 610445581, 345862868, 532765190, 835749292, 464400501, 567007714, 805086254, 295374743, 1060007714, 588234003, 977977016, 212716858, 18786600, 91039057, 78052644, 597816047, 295893568, 436456335, 1034933, 301753268, 502295148, 354290349, 81229760, 252440241, 666415549, 900888378, 321481396, 883764168, 891755722, 453720319, 509346777, 254632425, 812092289, 477979938, 240352679, 381186812, 718704782, 113791874, 13600266, 568900264, 945844858, 539055054, 593625156, 1063846614, 444864203, 447354779, 972026303, 970690381, 776439393, 164930971, 1056858836, 1041305865, 1043214483, 82285930, 951636558, 150228564, 1059824056, 502139300, 187849928, 437039820, 870513962, 303796229, 831790384, 164732864, 532676500, 1061975622, 799857323, 196397194, 697305366, 904898026, 584452729, 743015938, 382333675, 64965667, 275928826, 1006701219, 425022626, 2632195, 111404250, 908215712, 939611433, 709581359, 753407061, 308052669, 196955881, 128412704, 1016432071, 662889377, 80262855, 932365788, 118549346, 496941865, 387371215, 431115736, 661730076, 441352170, 1016583791, 319677296, 212904272, 662606744, 841420338, 573918114, 324382384, 170707692, 905617689, 658398453, 680628077, 352481004, 177985935, 804006151, 650507121, 498451173, 335368061, 260938064, 1060484603, 1033786137, 344382870, 968648466, 332510722, 825566701, 910925069, 169831966, 944222571, 728186015, 544548237, 364792002, 922616153, 939456608, 229376794, 751278451, 945716511, 20244924, 881132538, 102225524, 815434243, 680658376, 388898934, 224459592, 762815432, 938212600, 499661211, 994605851, 170843239, 195580457, 727523122, 926043780, 1019324106, 457163154, 647923829, 118841872, 182292203, 499288632, 800775072, 450285587, 708923347, 614492740, 747315663, 1046687518, 864172597, 570511046, 41618152, 611344701, 197854666, 786964155, 258985701, 609619215, 182031132, 641630995, 491150178, 557933021, 36625946, 659270962, 43028584, 710339544, 512749257, 253263945, 904948842, 120919195, 172208380, 652000660, 328871865, 879287236, 1000964776, 767412010, 181747744, 828795320, 387595096, 877300171, 459420451, 5783578, 116343617, 66284927, 115429637, 216732003, 618803719, 1063368708, 995021563, 305827984, 691079366, 594662205, 174847491, 483952435, 739662434, 953196197, 359887706, 574711603, 600739816, 169514438, 1019802990, 669067179, 40236364, 768392561, 844769790, 497071208, 346445925, 26106799, 499749687, 577719396, 509168586, 720396531, 29828646, 611463251, 668034807, 947400080, 285252686, 570800640, 335228075, 343269216, 212103187, 817706069, 528473104, 418461085, 296413156, 753406407, 286516625, 590655508, 897320423, 134801511, 998952044, 935370881, 308887632, 817205038, 1035713219, 670370085, 552765949, 201738103, 807932128, 166991598, 755840956, 805364514, 588899845, 117544043, 383500301, 523591365, 638777431, 446140017, 1039376470, 611171447, 635930388, 877658622, 861076958, 50185915, 786148908, 114004694, 279054393, 704623332, 479547792, 664187895, 27200928, 955074831, 233969915, 529738604, 645675526, 254418736, 507164806, 249429532, 537945658, 461418208, 647792237, 640831767, 668027962, 991735115, 655216476, 490032494, 735292984, 802536726, 147408806, 996407556, 462094149, 1053371163, 206449398, 15609232, 192958314, 540345412, 928708696, 774138963, 732454866, 355660898, 1047978011, 594038387, 574386850, 575898442, 261614432, 687118549, 1044765297, 129850365, 331624384, 739631997, 150134049, 758743636, 911506444, 660007123, 811525160, 368919137, 692135053, 100300808, 60153219, 416584571, 208450883, 546733688, 277379491, 535057247, 333499535, 149243974, 715885163, 332687789, 643859155, 993709466, 309092272, 210139181, 870813390, 171190498, 759679181, 693081679, 556274486, 305681860, 615613541, 241134769, 658716372, 1055923013, 158789744, 442621177, 640256673, 44505500, 611047290, 171927916, 564232794, 232597016, 533377667, 963346414, 620106679, 347566492, 408186956, 661744205, 375025131, 599077406, 554308091, 870042007, 109793357, 501731698, 98508450, 49718989, 555035948, 485957265, 52884990, 679360196, 766445923, 319505085, 948710333, 399213647, 239169489, 263189616, 81574088, 23306082, 180607879, 899532013, 35158403, 383830645, 547882842, 706411060, 552728108, 789834606, 474534131, 902476446, 519313109, 176050800, 198171110, 174750790, 187006951, 664230607, 875137324, 330040480, 844285922, 270624245, 787444409, 691482447, 781558162, 198475134, 531955990, 407918558, 701882233, 326087556, 568252855, 587086852, 423711264, 329146186, 822568405, 987220455, 400577620, 19868738, 635674592, 450004260, 423251367, 485152689, 1018069634, 347096272, 387910814, 602504965, 960209113, 972611986, 70533962, 155137911, 19378922, 827793945, 670199044, 976827571, 695601696, 735384685, 395916757, 123943133, 534730144, 109303509, 422047143, 870012379, 440259547, 174472111, 973064346, 180968379, 116429063, 869271650, 839442705, 638802561, 269131632, 777992275, 697450543, 59255585, 93885555, 413747342, 74859608, 853727358, 963418761, 526305556, 683943179, 929054780, 528169366, 73034385, 991663040, 508359287, 473306449, 94716406, 449883680, 727633916, 313629002, 582139982, 940620518, 688958305, 752030264, 337765669, 731074808, 769849680, 841291071, 114101903, 167408498, 863688575, 830270428, 757634917, 1024009810, 933363038, 1024526512, 681186194, 602414044, 767739576, 488707883, 999231035, 713631353, 882241826, 161901266, 806315611, 414370493, 787090799, 186357232, 265523234, 679666800, 1006468316, 665043454, 406771330, 975745560, 507774172, 530029248, 1024878496, 795680022, 263793472, 630755954, 565097971, 811390994, 992362238, 139896395, 651801732, 899132229, 186581878, 1064968916, 291364720, 136452016, 111802066, 794923041, 793998145, 430954769, 404817187, 476311411, 565698802, 871435206, 285731273, 177389420, 181642097, 833582837, 1034475559, 986298540, 28569828, 365382163, 437150586, 808965949, 598051886, 884201703, 361290735, 356313491, 886598786, 998380945, 445267437, 919827693, 1046367341, 847347425, 62489687, 700764059, 617130536, 1006094286, 616816742, 724558744, 687287356, 936194088, 837680933, 130295377, 122470393, 1069766449, 219584265, 599820614, 240047853, 295805203, 520657901, 427678908, 758202882, 593616185, 747144040, 422121307, 558922059, 984504789, 1033404283, 623282911, 1007092561, 145913947, 557858050, 140492325, 637413024, 454681998, 474439939, 447734971, 152741280, 1011524586, 326612398, 1025987689, 1011574623, 949386381, 635884007, 341174128, 20115851, 562117563, 392122977, 31387756, 383670952, 202039931, 785812811, 855456570, 873264326, 648306860, 512455868, 428538321, 766082938, 141589352, 313202891, 230492261, 705765456, 552833933, 406473721, 770265998, 1067974969, 736973130, 618755386, 155082516, 438854656, 524886110, 90186509, 240873744, 598864233, 89937945, 441991738, 309706297, 1045403445, 838500436, 949593188, 946302141, 194196200, 959005066, 315383360, 544759912, 821514820, 360930934, 704343900, 721253662, 569221194, 455325181, 102564057, 149606154, 296233457, 470412856, 688271320, 888844044, 363889362, 910619577, 291580680, 680957113, 254432522, 685628323, 493682702, 115243694, 198528923, 653865994, 214555750, 19932791, 870146157, 512498743, 696263313, 442220739, 993741271, 149394548, 278586176, 779038389, 152552715, 56538046, 619587158, 829529309, 846617784, 937098504, 909512021, 979042517, 682841550, 130926583, 1009100289, 137468489, 457483729, 868511342, 174633683, 851636191, 801470098, 86744946, 965008960, 436057433, 976135326, 353195617, 152280023, 418532318, 276440816, 977492060, 621622945, 467751115, 412952398, 299754657, 127614052, 200698571, 872687758, 243033252, 1026549029, 80537758, 826019928, 43538012, 253946844, 345498555, 551484755, 226939288, 319872750, 178406783, 285257589, 682034230, 63744496, 519507881, 279097428, 912445854, 986465619, 634534205, 206396338, 379480025, 496963384, 841949817, 958858795, 95147150, 821231508, 211983183, 89716054, 528735362, 564386374, 675194025, 68749491, 310905158, 672725925, 326395749, 135724470, 164402691, 280070137, 278292426, 522966149, 1061416006, 876805514, 617264171, 913072297, 538277520, 1005703949, 653875286, 987795981, 319306922, 350870771, 912606987, 80036902, 744492901, 300995182, 591804562, 470464779, 471739545, 712262260, 542474318, 740264212, 811452137, 208362735, 328905577, 141592446, 48374583, 555505919, 188923331, 929333759, 899760662, 513061958, 157556650, 414401632, 675336748, 1002362367, 368734380, 397389444, 341247391, 573542471, 537540634, 932796724, 266613011, 405390990, 822760293, 602054824, 164347321, 769307499, 93808001, 935901210, 705035149, 273282044, 905245615, 979382622, 428180464, 230529484, 647587684, 665578778, 284953177, 521084869, 909011865, 469689076, 520642059, 590765208, 705920130, 691307844, 59888771, 233032962, 151672071, 525890330, 64402279, 160257661, 593474272, 1018919964, 332398668, 804936173, 284056718, 879313025, 425537213, 550617104, 392368222, 437470466, 632175917, 948376528, 492045403, 882258989, 634786103, 442872363, 917662502, 491162733, 539858001, 799543338, 430321755, 805640398, 601483955, 247923245, 22481072, 217241313, 439279005, 32192214, 176777738, 212987705, 855899678, 1059320694, 896470849, 96740406, 584248446, 981324473, 72761652, 1053249957, 509964859, 94450698, 627601654, 162238040, 382439494, 607925289, 455102132, 517641492, 121053671, 497047407, 560491328, 195469569, 903753721, 355770508, 396693299, 463276160, 542128845, 889268441, 597802259, 884631669, 757797812, 321863654, 208558905, 490432648, 299609788, 514142758, 729358646, 155660610, 855665853, 938811830, 356260306, 302625174, 188142188, 79005470, 833959374, 532450367, 822274426, 163125070, 283210119, 661856345, 674691693, 703691580, 18175210, 968810608, 413734334, 593215778, 794841234, 469796207, 607441721, 744782942, 694128851, 394036111, 1002035166, 516226413, 928152625, 453611991, 923080524, 803133378, 523859673, 392269643, 1059948672, 262318949, 508301461, 405183131, 1033094415, 812231537, 1040431417, 822744502, 952272908, 798491441, 525709291, 163712450, 297734046, 258904307, 339526636, 858745052, 137027923, 191518991, 451810102, 722586078, 79902172, 410726776, 821271829, 506990711, 913811632, 706320396, 228154144, 364944752, 498449821, 488592528, 997988121, 744028897, 1002346976, 622158464, 374980967, 459331334, 922934689, 575447692, 48270614, 307398633, 786173833, 819623036, 851435053, 293743605, 969202407, 327963661, 836356934, 421112195, 1052482276, 768236680, 833932745, 1010342327, 805117171, 286593276, 31681521, 861141443, 490480381, 955905824, 903632118, 713780735, 924694649, 28161871, 388043436, 140069369, 4667730, 778092533, 14669244, 621157546, 153387486, 487596490, 607714453, 513078359, 5935811, 201433919, 873864766, 36056592, 419834968, 973190162, 531756882, 853691625, 89973740, 328500188, 156980376, 551877001, 1016833032, 54505769, 814275541, 836854996, 1030671502, 957200490, 798794727, 195187929, 937146205, 706819172, 980497510, 440581567, 721601249, 507090137, 742816878, 751405769, 424032838, 767432593, 392586114, 1037121175, 997139230, 59468822, 367116, 452255943, 181040122, 835674826, 643936020, 135121461, 327375673, 912978723, 842428639, 442756853, 1009522687, 475990835, 831124121, 495504743, 770570131, 662409111, 104174443, 86750596, 959845122, 784809638, 616679430, 504757728, 464828004, 926773825, 338507758, 1037135314, 428920066, 790377047, 651825093, 758470397, 276539606, 52819436, 1007906983, 382807864, 1015471770, 860932070, 880542850, 206809272, 239756, 105488171, 982800382, 918884756, 817460747, 506573896, 712659285, 1002347006, 795089434, 401588081, 870493129, 314919568, 582801011, 234099634, 227086310, 419967727, 785382569, 908690359, 489776006, 421427900, 349057031, 988863023, 546797443, 145774794, 200656947, 697258569, 990553413, 660210130, 713722207, 674292213, 68838959, 201009761, 210073235, 960674231, 719012735, 325712663, 70129255, 785798870, 744446660, 51310230, 332216351, 1016324989, 782607464, 915438057, 933286134, 648319445, 495518809, 488411411, 719837526, 467516942, 689362004, 456473730, 44899331, 1048280152, 779730448, 551464971, 880746039, 937126434, 582392319, 987095746, 302215670, 809207881, 591550994, 984585736, 149937438, 432152068, 182648279, 1005640782, 433416128, 264974300, 54969845, 941631612, 241349151, 441432688, 34032230, 229373242, 1059635253, 697914969, 892215870, 771977946, 777108028, 521008352, 738592600, 157179814, 179400734, 819500982, 433125581, 363911563, 285812437, 281454530, 919638830, 150922, 389986480, 245064559, 847894131, 660610236, 750256209, 223858169, 690624262, 780579663, 171680780, 43820353, 177421573, 507784626, 508829906, 824166558, 473503610, 476391716, 655199699, 793943421, 1015606743, 695735150, 860753423, 152557599, 792978070, 324577199, 176895360, 811902947, 42028234, 510607532, 426226923, 386380455, 849470720, 605978954, 732556412, 373772523, 325990691, 899563509, 1001874743, 222751914, 133873350, 818346142, 302263938, 548155379, 171033453, 410824553, 469548704, 310585731, 221786061, 164101380, 631178803, 581324500, 166108809, 685751204, 850029339, 267070084, 1031393201, 333477755, 844545989, 431323228, 308850618, 296771331, 371235451, 1067486968, 791887402, 860434817, 376193783, 335630254, 247203785, 284046236, 252400241, 574488664, 658378276, 1004081948, 749121893, 786543303, 649579610, 983286260, 496671971, 285202137, 519567083, 970432149, 879616497, 288380071, 991975456, 32287467, 395919963, 1062184722, 354945947, 980255754, 405334111, 234875407, 599707516, 549707284, 259844753, 465521171, 379981226, 212279645, 885084740, 231704398, 341994154, 828217229, 444827025, 640975520, 709528078, 700394468, 473360631, 593781278, 354763220, 247631946, 151046104, 1006495114, 166258867, 542594592, 563594932, 673169176, 904904705, 1072721911, 326921339, 28282932, 130873019, 780893402, 859453, 979301959, 917453199, 330650386, 1002392001, 164831618, 628792352, 912545839, 404384257, 12691515, 203688576, 758138266, 1045109466, 484389932, 520342485, 800245127, 294238483, 552035612, 507105129, 326925307, 594014524, 913272659, 1008376267, 278298010, 514673707, 186389453, 557777220, 351952266, 655249105, 445263697, 922008988, 109421205, 899945609, 539773244, 103256375, 259455242, 777869, 908603847, 748111856, 438450288, 966091049, 693407093, 804069961, 972744968, 10135375, 919879531, 872805564, 712464708, 564362246, 906098906, 50869655, 249997384, 480301368, 571233403, 282518118, 924140061, 630554618, 253365487, 811884545, 61628583, 522533971, 869048100, 116438487, 815455771, 407849473, 215619662, 258576052, 352138350, 666742163, 958534011, 427562405, 360732262, 1052746812, 1054040121, 21848499, 380596063, 363946248, 1056538281, 737636817, 421686069, 894668434, 49751533, 842544104, 209847325, 927368716, 428610974, 794906133, 65706645, 7821750, 702848480, 698027136, 1045317594, 30885699, 38670297, 50695579, 841555739, 735474826, 621149513, 677947316, 88263871, 193936059, 415217748, 644837262, 271624806, 1060174578, 717121995, 29489856, 633085381, 300594248, 29486031, 194049490, 287694523, 283570257, 455548220, 283149330, 1015666398, 866626917, 506324644, 145117595, 643353839, 582257131, 874486967, 339131789, 999829152, 71887981, 515688460, 890204525, 42201262, 139384563, 396932176, 909651209, 126935257, 551388741, 924369524, 393560188, 656715102, 549674950, 763967565, 558267158, 901655201, 181885779, 640350829, 106181867, 781086247, 1024795805, 792977706, 195850211, 928988287, 965055023, 515708428, 998366900, 393320055, 272844929, 703166093, 308810790, 104211769, 784114697, 840740390, 281443491, 367129686, 1028278342, 930775987, 200933348, 1016216556, 775717329, 1049509043, 917147954, 142671803, 733936674, 769252940, 730877812, 469591636, 865597263, 323360073, 490609479, 213837469, 427369430, 478270679, 494668252, 643730143, 787005106, 522176088, 462220385, 271787207, 938674214, 902020604, 937104735, 524699940, 809251044, 866362737, 797010747, 893174118, 834210484, 727203765, 425255611, 161096143, 268748140, 359403208, 422202177, 645038602, 516895375, 274513942, 789982349, 250140516, 572375654, 665561645, 311010895, 728664710, 46231549, 561063460, 648282544, 578512632, 726248871, 243084071, 181009415, 547213324, 252464345, 148693401, 192813424, 723418540, 238484678, 279867829, 243212425, 108978555, 196882135, 1009705294, 538718579, 801276175, 187841331, 320717148, 834384541, 796520677, 684352383, 830495514, 69153582, 178548810, 191402875, 457407794, 571202210, 132345345, 96504943, 987755196, 685929898, 101593301, 260936172, 882498320, 62525941, 222422586, 351463453, 857426336, 455769930, 349141449, 653276316, 402525882, 677419008, 636627310, 764555303, 194053356, 41479139, 236629832, 992528143, 157522387, 351211707, 781113310, 547353761, 808726879, 888108549, 659328520, 723043223, 178874802, 147500854, 1011494837, 1070077260, 851967883, 54661712, 472070750, 150405390, 1035748918, 879405669, 720406929, 626237394, 918350234, 271056522, 506056114, 960577255, 782610499, 253393443, 301474392, 656902636, 543868191, 262240156, 665203669, 258840331, 862312196, 381964823, 810201018, 226675199, 208443773, 467558403, 456690771, 740246361, 684442423, 964780715, 985139181, 747276295, 1053072259, 973730800, 552720782, 89074235, 83590894, 180612705, 165208475, 593751720, 841102780, 466380834, 881770022, 555320642, 139311655, 509078322, 454618565, 884373790, 851716678, 367054962, 82497019, 857850189, 873892444, 587717053, 791595910, 651868992, 1040493108, 21166486, 956851775, 330418919, 703416755, 320635320, 761876772, 104800276, 163822550, 58505041, 1011002215, 474904319, 1061398761, 285610345, 34877922, 714848295, 996144169, 158071392, 714860392, 207912745, 98314103, 108576518, 874695266, 375774651, 131446628, 725263561, 359875125, 1053393378, 576329667, 824770084, 702589396, 176153697, 848199800, 618466319, 904435620, 601876758, 770050942, 767343189, 285268717, 332050293, 259796269, 391836358, 122528165, 1056958693, 666115822, 535962980, 626461991, 177180355, 133148310, 976280217, 75569426, 340751369, 630112342, 504825255, 1051550453, 215697935, 579439408, 853763916, 241613496, 1046988875, 550221065, 676259055, 93728891, 1016758431, 205823747, 795716343, 200701481, 466721408, 164231953, 152765199, 480727067, 686987607, 946191994, 1001117146, 288192656, 926922581, 567880133, 555920976, 870799323, 977401411, 422292301, 940390962, 135582651, 766196154, 165700090, 942823385, 95667776, 706230553, 366319471, 240129492, 790807507, 653901245, 185972992, 923057170, 181273468, 474107131, 420452063, 457141318, 801541045, 142359991, 775411011, 59538633, 31105666, 226453320, 464113394, 298578156, 580259759, 695203550, 533056163, 339895586, 185978463, 472699428, 102433016, 846590246, 102102226, 149697889, 932264549, 598813421, 549698015, 1018412365, 330111786, 798025936, 279068186, 64420819, 484301515, 342576754, 221373423, 664371198, 503078385, 869847772, 1041361367, 1064614963, 29727380, 432587749, 937436955, 348091532, 542829038, 923303705, 171054832, 422686286, 391757518, 796344211, 856768571, 595742295, 1054660274, 695302825, 1015408372, 1015172141, 651717461, 662621180, 742662508, 471048813, 514505063, 211527884, 634382784, 811811570, 624459681, 282849121, 63147486, 858825519, 761326982, 385682594, 80630244, 53371649, 759686390, 198845373, 815220577, 409065972, 526739254, 629809088, 795440997, 38058786, 985754919, 1018101825, 386529307, 511169213, 570675209, 114082236, 718128459, 515881512, 1034223037, 75442679, 381294405, 137361306, 18719304, 423231053, 641387297, 4844851, 450067244, 548481960, 147937243, 742748785, 539239666, 36095427, 294804468, 606384708, 568440353, 181724826, 216060242, 888292509, 997481385, 705981495, 708373243, 568058835, 469788082, 182671222, 835560270, 290110989, 591108537, 221469792, 255591508, 37872606, 741932567, 973599196, 320238979, 957775630, 980723101, 127511099, 89744753, 355876737, 399665706, 203211470, 892798610, 1043724839, 189516151, 437856076, 677315295, 483846157, 332112301, 345626060, 267958475, 250729878, 405035803, 686351888, 25144087, 927569730, 947193979, 800414101, 433653954, 916166890, 192782639, 353089005, 1000011929, 33779180, 313741172, 413348009, 1060221993, 735740297, 616931891, 212626640, 269492431, 350710637, 1026337802, 491905121, 519717155, 1012708375, 501648569, 988865503, 368135683, 129631641, 268676542, 723618614, 817643183, 918900695, 611255836, 912233776, 46189261, 1071649076, 726349378, 143266245, 36293213, 587098524, 352849586, 206633136, 259323685, 216781126, 287332984, 311654773, 369879836, 386581730, 405405824, 1021048363, 664090912, 761049140, 596652715, 353511004, 351830037, 548042176, 677463167, 456361784, 745001055, 649877788, 953300073, 906671878, 836649422, 218713069, 214324737, 434942119, 718817054, 996379611, 834450307, 388931555, 563102694, 166955241, 799214339, 54807284, 262287855, 243875752, 852528156, 332467468, 485157727, 538009097, 354065924, 1049961797, 525545648, 267565428, 999981443, 666514356, 491409695, 702812215, 601468464, 739132343, 765907091, 334634108, 556587190, 277327334, 755883927, 754361280, 451783292, 711730198, 918034113, 104650380, 69052129, 637467265, 591763873, 390520124, 1003656705, 765524362, 620068298, 130408373, 320356599, 920558692, 775936568, 508680723, 256182846, 448916465, 723904699, 216707019, 283239947, 177604822, 717972526, 890842026, 510318156, 940938721, 605700217, 475870055, 274656464, 800355289, 739642991, 979653998, 890916901, 778768410, 635740213, 251674021, 662229847, 725522434, 114741804, 69919286, 679007420, 45241443, 18960320, 464232893, 26263874, 962982613, 796982569, 54680359, 680053897, 1063466922, 951217050, 949962815, 38187478, 823123859, 185295535, 274869012, 804346724, 307354403, 274500180, 953624997, 940853486, 523031180, 319224615, 73343416, 799604287, 842547037, 830545650, 342436833, 444801909, 644848480, 146129690, 1061109139, 643536230, 745440517, 100974051, 1020789496, 601725831, 831529729, 272714366, 234341140, 57032580, 305583910, 951509259, 51669870, 290007483, 615789034, 137074467, 921775263, 475582311, 720906150, 987363603, 708210999, 790309156, 516096149, 392561265, 378923301, 722613401, 956487994, 242709847, 821326328, 160696968, 571216361, 313839873, 876306642, 420981668, 905383399, 263122635, 780249964, 217124746, 965497608, 715292183, 246482548, 1040220013, 928109719, 470933453, 712066345, 279927234, 1578980, 779867034, 298650614, 742466604, 312475083, 631113160, 918813066, 524994902, 914002878, 603285186, 816524967, 171258414, 403217544, 483829410, 624334044, 561395516, 752331442, 90468619, 685493627, 806779625, 366741239, 1025709364, 291292903, 993289803, 546198585, 261146500, 241034016, 973908343, 532666969, 817217171, 695046894, 52360431, 277393279, 487144276, 183082513, 150528023, 4777098, 955988989, 907793262, 852891959, 450675577, 889399120, 435472697, 185613197, 597071705, 474084267, 1005112600, 829101870, 527292961, 318838872, 156411089, 314083522, 483980717, 419454509, 244300657, 955214715, 572477809, 277457295, 903782857, 950273605, 323871086, 281616784, 153428582, 469350183, 895378940, 989589984, 300577094, 729708203, 779871702, 410075268, 559537121, 289546252, 681724478, 331225849, 278356083, 890743803, 466138717, 482206983, 558532714, 380330024, 204324196, 492099196, 216008235, 74183651, 407555417, 179306859, 779725764, 1036966062, 420644758, 97709764, 580206021, 10566832, 882681908, 935723859, 1069148274, 228596755, 66728907, 538007800, 100813782, 885816068, 744053155, 177171117, 257708499, 968792433, 88573217, 768357372, 372248966, 114935312, 427423506, 516180055, 236205440, 540082325, 921454163, 737525368, 386125175, 593174773, 777331097, 1048748494, 196465954, 27942773, 695770091, 276182841, 533627514, 473715512, 523124813, 323264915, 613392406, 180301299, 582800214, 212238124, 405042404, 584670172, 199563734, 717540255, 243724923, 1056699063, 990176121, 406073572, 429096794, 514114728, 355879570, 906997264, 732088248, 1058610605, 197835442, 464376264, 1063404514, 544580079, 797860450, 782501489, 514787918, 535446550, 268643409, 53371798, 415060581, 1010970789, 486507506, 142164692, 352336092, 118397771, 384945352, 507740233, 228144078, 881851470, 419402971, 19623454, 842898514, 449094337, 120717459, 967761149, 671443237, 434002703, 913769890, 613513609, 158816878, 949166423, 882460623, 736891191, 106498813, 685290844, 650018332, 528973623, 727710730, 545367493, 382289512, 333333054, 442778444, 549550402, 929264005, 823182607, 848464815, 398223415, 202358334, 478794228, 779575044, 1044930243, 1060450998, 177163014, 892548108, 550650671, 399918047, 991271046, 219496333, 28648132, 1061714684, 822477396, 414291738, 332659856, 945371509, 755517332, 339155119, 227759077, 127451456, 307675924, 217694385, 139008522, 547655715, 66308017, 493506360, 232270901, 349996706, 300361583, 135101100, 749955441, 1070967413, 289169994, 768738259, 533760884, 346016077, 531790892, 639375769, 339237039, 648686069, 223397290, 808325884, 1046155909, 553186021, 1020629254, 993646680, 644487899, 779984741, 80334353, 30318659, 271619304, 17287797, 38700056, 84187375, 682384409, 912554525, 234820697, 258546402, 798192710, 514437152, 815390377, 856401818, 820524458, 482438989, 388236090, 231520464, 393587349, 215422801, 595052225, 910699771, 380189081, 387607991, 625664722, 350238264, 32733054, 9513282, 978316950, 763327563, 73385111, 772601849, 415974073, 589589701, 76020489, 883922787, 160814211, 849331725, 468061123, 583185474, 134214006, 304935919, 328780297, 1042505315, 241673312, 15684745, 420255272, 70008625, 591010144, 601275419, 911154692, 8206902, 539303036, 752100003, 240201606, 442143577, 23792332, 209681774, 640048364, 816015765, 804017109, 318158760, 282443548, 749606389, 744356570, 19040757, 155455609, 103407074, 683558270, 750640139, 206225779, 542887535, 452818658, 589842434, 76727112, 666304065, 652225327, 563913733, 282985243, 1067214502, 103257390, 106348590, 320141364, 576486122, 575485312, 263848849, 442984970, 290765264, 542074677, 637013953, 982769854, 69321452, 523706127, 821187438, 25145000, 861528311, 966104982, 506723448, 689251795, 96880152, 895278689, 870262979, 558495509, 915935481, 267283711, 183399601, 1046911398, 458564363, 433385623, 665217412, 473040385, 714872170, 1068152284, 783283102, 152649219, 596221108, 412123135, 706953295, 672963700, 975890819, 332738677, 521956830, 787902944, 126730046, 121634621, 324595977, 877153795, 553032167, 682385058, 556890273, 559963122, 507961400, 579045132, 924958894, 357563021, 779461796, 1068091201, 369672296, 212825290, 116615212, 740725126, 364066968, 606127667, 635512041, 296416092, 459816831, 966928657, 305503467, 540880935, 322207245, 53399468, 517036315, 454472560, 247911079, 792353739, 842996133, 301520169, 965236235, 219993847, 628112507, 980879197, 315075342, 909514452, 391860519, 822789917, 8578672, 198522566, 257708401, 1057720020, 728791851, 695419533, 800586699, 890971372, 197386808, 695907461, 1065688574, 345791563, 938013435, 395457823, 1069700518, 12948314, 371807225, 567058359, 567778051, 106463118, 1056466649, 395794676, 179338835, 995432520, 746194890, 904039834, 1065256498, 265450200, 381738646, 360399044, 989525250, 965971331, 498269143, 500349379, 813325763, 815652170, 338395311, 266029384, 649853351, 639662587, 708294158, 185387096, 240161998, 230750710, 949654070, 904343897, 872497797, 661392924, 299964957, 291075125, 862997633, 613835745, 85663853, 505349199, 814557624, 173810876, 249707022, 981919814, 316014773, 34464897, 276885319, 975563680, 505511009, 748795017, 179254908, 844864519, 122625160, 506091999, 732293850, 628912176, 169955774, 968596150, 151400148, 383850826, 712555145, 1047601745, 895141601, 949947711, 541242167, 294555653, 48739894, 581850510, 178798951, 138935924, 60496629, 434458102, 690050317, 996862061, 914766659, 667239157, 427772064, 1023604509, 736844853, 385941725, 109417429, 889999232, 771741821, 627021555, 471451898, 308126487, 304400752, 1047702367, 903986072, 821096976, 421378727, 889224639, 715417305, 766780216, 107309224, 918576163, 445882234, 958503156, 534635874, 948031535, 260005921, 317451706, 532142851, 551146167, 1049256906, 653200182, 720830342, 383196200, 192280764, 468682490, 212654991, 73188072, 829414510, 769131329, 1072139386, 1029175450, 23642120, 1022424978, 155322050, 666861494, 67969391, 466940175, 249669426, 173719090, 334693720, 460114749, 908031186, 752528885, 570765011, 109559358, 660240855, 48996789, 602738978, 870616770, 495759748, 297491750, 84344278, 334284005, 945696373, 888134119, 258695650, 470654393, 835144762, 870409222, 597586143, 262727056, 509197088, 621940286, 834208760, 355504452, 1054776343, 542549323, 442280529, 1059988521, 730002730, 591256681, 685185548, 891284349, 980452358, 245394725, 939824708, 585134883, 367392448, 909918035, 36821043, 221363961, 365934915, 171594582, 169666445, 503063847, 234782030, 893039727, 387510473, 382147348, 1065981198, 390919943, 816856293, 297954315, 274185220, 221415435, 241800986, 582834933, 578649579, 210706184, 362209442, 190955227, 815004018, 444016607, 989848747, 869658228, 62956094, 827699872, 1000029087, 198884610, 795174894, 931156266, 297124773, 362141243, 501389228, 593079019, 438797200, 982480512, 752084280, 437039818, 572240253, 558525147, 134860229, 239764660, 548975552, 135918559, 77291422, 800195801, 915962680, 665462394, 906032604, 873525094, 701711789, 819309825, 542472458, 238384341, 981094193, 605145499, 658682722, 828279520, 1057391018, 986007876, 526912622, 673653078, 995432668, 56988497, 1049464439, 494625376, 839055516, 1065033196, 95140089, 282195754, 96055750, 613230924, 362115602, 660066657, 230332753, 748529515, 541499188, 45139712, 358408959, 189077147, 938844840, 347620249, 310174352, 263912417, 924361190, 887087055, 331627043, 397979286, 439875771, 390225594, 815591299, 935593350, 46481132, 360982416, 1022408449, 375172378, 636323438, 202688447, 18824751, 864896844, 669975223, 874029981, 922682366, 765053657, 106150109, 665202836, 589199231, 584405384, 1055192778, 1071013573, 1052553434, 420728288, 1027986544, 832237947, 451651560, 235369717, 735678154, 836089005, 191771981, 451582411, 1070357836, 784820203, 639726501, 333928977, 364492466, 651324935, 241078113, 759932836, 51099846, 679995204, 576880564, 411961460, 528464606, 1029011753, 159866634, 290293773, 312342332, 864460194, 324492507, 831185144, 598443620, 199843107, 402698412, 897327212, 976099883, 880925494, 198209544, 174692121, 143072154, 1043965656, 969461502, 101750816, 774469545, 980714906, 450627821, 436512098, 247070681, 557155349, 293456954, 328594797, 332636977, 355717294, 446963853, 776579103, 29699907, 425927726, 514948590, 321737694, 404706254, 919449225, 850228575, 739961625, 700922751, 967651822, 1051793679, 959369363, 472966378, 811605876, 95127209, 505215237, 644502254, 883962501, 823914658, 268858138, 190485935, 804905946, 447749207, 294274715, 368597551, 818105567, 216777824, 491100837, 847216607, 1006187683, 315764451, 827278943, 115165267, 425078435, 982596876, 850992852, 1012069471, 216234635, 869088307, 264521092, 388446346, 519659302, 1014001340, 277229954, 218764873, 512428767, 642094993, 286099135, 883125706, 634303743, 933613851, 635653843, 1044647998, 265083521, 859333471, 432928457, 456998697, 928609847, 733258431, 961867190, 57683707, 743041000, 716605302, 1003245599, 882832243, 791744314, 273892411, 440019640, 553450163, 1033276565, 526900354, 215343059, 478536354, 362998706, 1067435286, 993956, 580515866, 110175821, 510307533, 474651254, 969656542, 355249790, 281352696, 44422170, 613466002, 401978845, 8559092, 318563548, 162419994, 996802373, 5668337, 811955551, 872216709, 1000427642, 907442101, 615718094, 936392542, 716077659, 875159351, 222856339, 261695426, 512540019, 69717723, 1065439775, 982816522, 331099042, 214956273, 376005906, 795721075, 797716626, 1032509565, 744878423, 985459327, 7086309, 1001477671, 895556222, 350228888, 657741675, 286814772, 300936546, 858523117, 296275212, 490401535, 526028973, 848929003, 23359496, 392478233, 379181183, 849623181, 101555186, 982096634, 457189194, 411122853, 274854336, 1048915176, 606648044, 151067735, 829769377, 816587006, 837964514, 313849465, 132926494, 516460624, 520319935, 658315758, 730155339, 499457421, 1027475498, 695134684, 176463175, 9990770, 293015538, 158251038, 830163750, 857463940, 6172219, 261737612, 707283923, 239607318, 501154684, 1003498724, 699791105, 740772135, 224789797, 275831551, 477535431, 996672896, 690955395, 156738224, 345000160, 1048558148, 330465068, 1017186955, 773915873, 663457146, 687983356, 957493327, 823193162, 122743488, 492834862, 615313996, 949674713, 1003311942, 585082966, 450995915, 619333218, 116985614, 740664854, 805906945, 6980283, 487782506, 952299809, 992858305, 846408262, 404372770, 513878666, 351722726, 890740904, 1017363486, 983711947, 4789296, 434256760, 76314245, 410600980, 950296004, 753289234, 244838414, 956459069, 844289791, 524406763, 870451194, 2542896, 686028716, 92136997, 611043004, 131204135, 581458834, 913915067, 188603830, 344915170, 932263553, 336093199, 516043448, 697480048, 749451091, 1022844698, 497355856, 393299041, 406460333, 559161533, 836016776, 678217435, 31357727, 464009832, 932579846, 515579847, 635856027, 702628913, 1059367227, 341609645, 593274284, 883391140, 111844274, 1021117601, 803756958, 835357936, 806744158, 709994355, 292879640, 871035073, 251574541, 190224202, 744934875, 526758023, 655601548, 963218376, 562502448, 11850664, 439933849, 103114045, 967578906, 501557727, 571513401, 428591768, 98593707, 42406571, 898252906, 85329319, 799004473, 968314209, 613153797, 37598025, 61982912, 911449230, 227817137, 541621548, 909478591, 818859741, 925139277, 928817716, 651873882, 364667630, 670329839, 85190476, 993836196, 742840428, 276935543, 382706959, 952602165, 918836471, 803152407, 128043394, 713302252, 864162638, 47201820, 984112122, 433572955, 57423372, 1058050495, 185978810, 968239321, 129474180, 61348211, 557998110, 628433102, 191515009, 132229723, 849274401, 6675600, 71030234, 66633622, 952278295, 710046345, 255943624, 113976761, 47727272, 903710988, 5173429, 169757392, 882568916, 16291631, 19627402, 394250791, 976859463, 124056936, 56633453, 364095223, 1031042231, 226097626, 188597565, 978845169, 271036622, 793106633, 213816423, 121956653, 478120550, 770612179, 205388007, 431354295, 78981429, 547751872, 460350852, 747086458, 183698969, 280416658, 751158735, 875397985, 469084811, 803674168, 260803186, 349229141, 295179223, 818322980, 1039597354, 653669722, 579329813, 122606258, 752915288, 986403495, 338711676, 541374752, 405405840, 563281045, 9248025, 823721066, 849832141, 67963242, 291489584, 272519432, 75850423, 394070548, 862661578, 64128309, 122002223, 23811738, 856838574, 695492192, 156859086, 849258628, 958868362, 166589443, 999395227, 704307209, 25100695, 492736931, 567229701, 445038377, 989088165, 342516637, 914536941, 698761847, 486038700, 591250705, 556753652, 627788943, 491785576, 622112263, 474987600, 434378370, 1032936927, 41435741, 456111832, 5155299, 445365135, 362974251, 679717576, 971039063, 429040218, 724567664, 119466631, 135333075, 313067504, 93420722, 229258846, 335773427, 842621108, 483475290, 878637372, 684061349, 190088879, 647604491, 329191563, 1039712558, 819360582, 902698719, 225640735, 34041549, 380777729, 21022153, 266820307, 558853856, 507220441, 223789030, 816324631, 238917125, 490606938, 861790589, 617438440, 836054133, 761063925, 343732705, 84084362, 940463291, 279545175, 71029752, 489946163, 623944572, 187643603, 1059380834, 77728570, 187633893, 375664650, 439767045, 235567594, 40841213, 881894472, 819596067, 269805171, 971014127, 666367146, 916789663, 609156042, 961858433, 781622437, 780259871, 18833094, 276513372, 530081017, 242313637, 93826215, 489926145, 602363964, 712604044, 654554684, 1039317006, 534543314, 355639803, 1072907636, 1057192488, 979202338, 720172592, 755852854, 1004091283, 994228899, 841570367, 952386878, 887709939, 328089925, 381231329, 548103517, 792325690, 548014932, 87907376, 840016559, 155974802, 328540683, 246502871, 524549539, 971666747, 362213069, 863006268, 956008754, 335559594, 916620598, 613380613, 216534446, 54054647, 817242726, 644974183, 878305567, 182757750, 325255308, 1071763056, 692108515, 484822097, 606716588, 503840620, 374909709, 659637476, 670588656, 915814356, 731360309, 531411317, 729293202, 130758457, 610296811, 379788257, 176550885, 337309723, 2811623, 768627653, 105746038, 710666614, 33384067, 657096342, 914326839, 535193748, 546411098, 2872650, 558595569, 872698336, 87252286, 730026176, 890878216, 523628376, 654638480, 357090825, 298339419, 692034971, 1017511605, 660128032, 38269873, 352394387, 672591412, 495027360, 221438287, 57853395, 926103393, 571912086, 802646045, 651667987, 172667837, 908936308, 375353371, 783472546, 200445342, 549734795, 49945512, 890866324, 39654940, 602059897, 1019088140, 923179336, 875247797, 43209903, 217513643, 1069728113, 591537467, 509779610, 809818779, 530774884, 475348781, 4180002, 403016715, 794943553, 56441253, 101413248, 265737172, 914764448, 564250103, 940296447, 90407970, 436607364, 690435039, 375718365, 306288078, 697769733, 745003597, 584108398, 223188503, 458986414, 533695600, 558996296, 995701957, 102842069, 657282530, 926219604, 888582088, 241269102, 668691971, 377810845, 467900715, 864843229, 167457526, 668309323, 966822330, 727238935, 87846981, 79340304, 245291840, 874816238, 828253259, 603802096, 443046718, 16412912, 997354713, 508993350, 899168007, 99028889, 1060530497, 610574473, 2923276, 677089921, 85077132, 688518733, 274717947, 605732767, 661121352, 168230593, 455886817, 655408174, 554088117, 976459370, 558177387, 725714789, 411757559, 537826893, 803590069, 356790752, 403663093, 279239703, 571680235, 375266694, 704992712, 728434649, 221513059, 351592636, 681306780, 230539572, 637553183, 1033493760, 693829900, 63541182, 170676810, 628680539, 952411415, 801771937, 80092733, 174147435, 504441583, 1037661893, 868528991, 103023227, 898499399, 842538397, 890630446, 896773317, 776858109, 374531696, 829989757, 237131951, 53240464, 923659913, 55018074, 954431219, 520487435, 14423216, 283991976, 396227771, 789365347, 514551686, 730495230, 42838253, 12690263, 630010800, 375348708, 581138678, 977078896, 174133755, 145735830, 769455824, 282899953, 219587054, 1068887865, 29561029, 689391604, 59149860, 458399579, 1072640735, 406404079, 218083022, 1034251856, 246098891, 1023554129, 456820969, 358686761, 786581875, 323703148, 863662536, 968935437, 83175231, 387145306, 553900509, 393886200, 374143090, 315326019, 590864011, 258931400, 142324628, 257240126, 421317753, 897895187, 201589784, 889522410, 613059563, 733678654, 840413603, 941831202, 876691120, 306887864, 1001708890, 294017988, 1026784424, 479345361, 266804142, 595197624, 225273279, 993807493, 936474586, 662942081, 67023828, 395482576, 376889804, 803401096, 368013964, 143832667, 333156595, 805737964, 1022307009, 732113907, 495764152, 98859959, 635981744, 714711905, 352069900, 433846190, 567020843, 283080719, 236765015, 365174236, 372120069, 157797366, 739785271, 810765468, 816756670, 362327515, 261086930, 709919247, 807278434, 437644628, 468844619, 29177888, 337981487, 605356890, 853869981, 972459113, 305287483, 76065382, 537527980, 1062102398, 74018271, 466095269, 85345445, 250248644, 564669429, 130383253, 168845305, 393950990, 1014872067, 1060234587, 959531929, 359095581, 10526720, 930525004, 754352671, 425200363, 563268439, 946274250, 286510157, 965672337, 629020150, 877707458, 332655235, 102348740, 511549091, 512393483, 1025091011, 721049423, 611029180, 95158803, 1019602841, 409993387, 603245218, 258668553, 440559297, 673718542, 763885318, 549020028, 124765476, 467922359, 846431916, 683425974, 973653946, 833188783, 827147273, 374497995, 944252671, 125727069, 544908404, 240273960, 330838789, 716523453, 242427663, 952537093, 846931155, 385590472, 227205369, 429148590, 975406695, 348937512, 3206699, 854462991, 892988852, 945814166, 244867469, 857124873, 535103776, 230631150, 347925106, 250358729, 1021021278, 215344320, 360414178, 167531105, 843089130, 774550805, 288061162, 179097689, 377399291, 603533338, 194891831, 712760651, 925535617, 685840504, 737210116, 251149470, 759240313, 782921086, 440411179, 741419732, 757405130, 878181772, 81035611, 135775046, 314720069, 151439731, 402634993, 332424588, 1028064464, 881038012, 796096277, 67528252, 254511781, 693305119, 524887616, 324451898, 197462318, 806552007, 1007446943, 820991657, 958031788, 922703359, 892000382, 548233134, 520035350, 349470998, 994763952, 979077669, 576766623, 988666461, 168296516, 602425739, 978393067, 887439063, 1021176199, 59223838, 320294644, 869026500, 598028433, 923081571, 705253821, 873040919, 729578935, 981649655, 434649083, 403395693, 27762862, 98286942, 628624429, 223988542, 59624479, 663808689, 938780689, 169565489, 1054456534, 270893656, 1062390952, 829589400, 481961989, 756792334, 125181356, 1033778940, 108984570, 466701525, 304053490, 991428414, 553050110, 665214683, 1051437848, 175856871, 727463505, 673110753, 896467677, 859142662, 227622607, 285222033, 806646640, 536394096, 493614888, 846164599, 612112317, 185002990, 747211220, 147699579, 801159755, 698557442, 502255612, 977027914, 98856573, 177847528, 315905880, 1045991709, 1038173793, 556257532, 1008734745, 698569907, 435994846, 983929638, 706281710, 683424656, 258100148, 254078603, 1068500641, 914895192, 268359201, 795610261, 75405132, 642294427, 498021445, 309586091, 586998965, 555483740, 1072526724, 841315225, 196461951, 794534776, 25222080, 556000909, 931183273, 272543916, 386617407, 951840691, 611677936, 325780843, 627484286, 741954620, 1019287815, 22883785, 166851862, 311775901, 886159229, 56281452, 384040914, 979296505, 269262353, 634377933, 632049099, 882567818, 580206864, 1073234846, 509587318, 561827358, 393014020, 850001596, 84926429, 524211720, 435104261, 11212545, 290545756, 1016991419, 367485927, 613617138, 936341608, 9577172, 505127848, 813530748, 867419591, 91882284, 520975397, 645915725, 874394087, 739307900, 519117191, 388707470, 479465768, 145094191, 831228198, 509622480, 651541173, 389683921, 934523386, 236426472, 64530996, 779121332, 245006259, 497665178, 54303424, 573154223, 37823513, 1022281725, 1026903148, 701909730, 687524373, 928015895, 359498604, 796631812, 634926732, 122099372, 930810034, 588824269, 971731994, 280810950, 467833715, 359251072, 843345816, 713093645, 587464968, 499668986, 256163248, 472379202, 944258693, 597274035, 928186832, 609304457, 799068544, 1013964935, 930548716, 633593049, 750802582, 115853600, 85342760, 876937435, 506423596, 16388359, 1067229007, 680610506, 429427652, 380356429, 476185795, 645444774, 621409331, 943784053, 144477484, 128085548, 225794098, 839724491, 861212237, 230527398, 655475241, 828583852, 820217556, 963799957, 1035930855, 159972101, 711358934, 176685227, 1051702591, 604991145, 1009104584, 15372920, 368024355, 675173482, 756866177, 1008799025, 945294682, 912499199, 126540065, 443775690, 286524779, 75612825, 104707979, 320526562, 619407558, 668944913, 891736539, 767794172, 112515152, 787755632, 88973281, 971886330, 1004183966, 572471787, 1035923474, 47164190, 426502478, 847052150, 7207601, 833737935, 631579882, 468963824, 234949677, 957172217, 800217554, 531337379, 382577739, 374401114, 1061226617, 21223086, 694135828, 69170701, 967878968, 785286975, 440715872, 682546818, 113407316, 281476217, 207248754, 600474179, 380395154, 150088401, 57599330, 1063315498, 203277951, 756967548, 570492438, 518661682, 408476618, 1017691842, 727003616, 871004761, 168953366, 1062261620, 637873032, 807823510, 412921040, 507887538, 62961913, 216611171, 1061067688, 186603340, 841284440, 845064926, 596955837, 200110806, 434026922, 918702432, 588579059, 90331612, 85240569, 56434517, 703759457, 1020224362, 856898507, 261675966, 722137325, 545751684, 688330200, 810373020, 770961377, 276007899, 555587899, 661625520, 533828519, 145105188, 247575458, 925972007, 651190978, 875363833, 537550751, 546446876, 95603200, 439598785, 343034282, 44489628, 50809270, 280422941, 478529076, 292771369, 63425127, 30649056, 403210968, 613803164, 438002594, 147409944, 717770473, 912521536, 433020603, 184085586, 665602145, 264842273, 133314606, 828214630, 684309184, 1059607899, 314610009, 304021034, 208013288, 334114713, 327356557, 490243600, 799457267, 871219170, 1023700312, 169100018, 926439891, 473953213, 1010117400, 385722827, 627107400, 585556603, 423398830, 815026470, 64559171, 370655726, 996416964, 868534939, 870225786, 332644459, 589439005, 9858739, 1022051621, 851666454, 34308273, 828243640, 368611364, 139031814, 533191033, 613145043, 193121858, 928095542, 683927721, 844686288, 1029202033, 501431560, 427257348, 958071492, 1004519107, 295009301, 932493688, 835869163, 53035080, 113072677, 120903139, 255820374, 526345735, 564005134, 486932018, 413513723, 820217192, 957084009, 312421180, 449183812, 21383223, 414868066, 66416708, 1068424404, 868432019, 39051116, 97092166, 749325912, 593306835, 1031421380, 925839928, 90216497, 232777595, 503273234, 262002107, 164798603, 653074104, 891429362, 688587384, 63621793, 848159332, 434761368, 61731968, 260525659, 343952809, 944039089, 802096469, 680588212, 86706896, 875908768, 212487136, 514338599, 363222060, 752341653, 1020917242, 530623421, 289579697, 610048764, 927383915, 200269916, 663907914, 1010392746, 850040914, 967482805, 605052860, 849522425, 3369753, 1038421463, 360254872, 812710214, 680251683, 768639467, 41370398, 392631691, 637336767, 943973381, 1065964855, 815439795, 1068095686, 16661938, 330865705, 260114151, 180975084, 915114246, 941416472, 129661529, 706820183, 973739520, 548924196, 954874226, 313915312, 847966089, 497227874, 741811951, 343537187, 509101252, 146228900, 976092635, 13014324, 1003939322, 325298369, 981903701, 758129721, 15293187, 383090941, 930658243, 234258295, 145226475, 842869039, 219493832, 103917885, 832670521, 872982932, 15018389, 624750666, 360292938, 872370261, 399648636, 322753303, 1022357325, 1022542914, 291857142, 342722019, 299702027, 106010536, 935172248, 331079826, 492347779, 40040345, 716936252, 640227952, 96627353, 256340765, 6583701, 369542674, 357243654, 915773087, 653824993, 177844124, 812945361, 1062614504, 327192472, 532296045, 796163127, 984009433, 462941662, 483845392, 329563239, 1034253337, 386051247, 797339518, 673354364, 770311302, 544581649, 954788612, 219453043, 1017619149, 195787896, 74645327, 599007109, 832000000, 701277365, 720042510, 606547266, 377030032, 16755932, 72026919, 9303448, 350957623, 973856425, 503013227, 409521789, 836815377, 232112763, 165686932, 652400655, 710062818, 785084769, 1018762161, 503615712, 29410896, 29192607, 145932995, 456579240, 527392341, 777741972, 819128501, 364070127, 130908506, 19278434, 889155101, 467089997, 617291867, 1057671884, 439783345, 540438434, 281073574, 322287457, 750958122, 247148841, 457015487, 609915904, 492190795, 695996655, 624506967, 581248866, 854568264, 819206024, 844098838, 1047938861, 363271068, 461102373, 70900836, 581840673, 911805574, 910906639, 299453703, 82371831, 981682700, 248110392, 105627306, 708925763, 333452172, 173442905, 654519770, 788006893, 1040131312, 412335113, 831258209, 539045104, 163677597, 934496179, 596832918, 969907612, 560044426, 572848680, 73773830, 524665660, 347928877, 152099897, 331489582, 218245657, 288365074, 41248905, 961633218, 555567603, 36370320, 771909919, 549702199, 8042846, 978579782, 438996115, 176555715, 398617329, 594263922, 872744826, 43557576, 43291369, 656330404, 328212183, 32150193, 309946642, 220857866, 627552202, 679231973, 425805582, 965659905, 128266146, 520101242, 740594883, 967061798, 706179244, 278641603, 50713522, 981014926, 301732277, 347947197, 721560210, 1072548536, 597820071, 100385601, 336423164, 201790812, 292221305, 497225673, 110787670, 755828125, 124292890, 114107343, 453988037, 441203935, 905104721, 803168384, 855918595, 758450537, 873724572, 1009062269, 76354122, 195006151, 745531213, 341763206, 396967577, 258086725, 118627074, 691088136, 769680672, 21491446, 498216551, 265050633, 976514677, 398301600, 281194227, 346337597, 706886325, 653840029, 748805705, 502101388, 118136298, 286663238, 548367438, 438601149, 793330242, 276286108, 604719828, 669736542, 355985996, 29195739, 721608436, 860297611, 1032646050, 623609778, 421897919, 514341384, 236720384, 310016823, 128144955, 18482833, 703970681, 894187472, 161121192, 765418507, 117883884, 823471940, 202838302, 309575755, 626043437, 141718126, 447964041, 1028556392, 963332586, 1028874138, 71781938, 176385246, 501730833, 661658911, 1026681709, 81532382, 954136905, 286716190, 442286008, 12197831, 415180673, 693480425, 969725912, 477885478, 757409474, 199148741, 158788301, 411022427, 716993056, 344371341, 59234952, 660688678, 329479866, 982624266, 345499664, 12867413, 299505616, 996125216, 131950354, 1029775496, 998840076, 873292051, 108414201, 283468662, 286157811, 670979922, 391521294, 337063658, 905539177, 357706027, 185831883, 58052829, 699331433, 848906595, 82033905, 593976714, 563170395, 101763244, 596209495, 714888342, 218370191, 953753245, 337250766, 114793899, 566155093, 268284563, 671043348, 548659888, 165523993, 722271189, 52106939, 4898361, 715710400, 555455892, 106009415, 616684292, 601209512, 602423879, 387072662, 554447903, 733623209, 339832427, 755579497, 7345601, 931949544, 29784797, 826733170, 761608838, 422968713, 703187983, 761533632, 417369316, 103574634, 339241956, 382887687, 657533676, 702011657, 503111745, 2125766, 378659568, 34072915, 399008963, 1043466587, 139936360, 1021358374, 648866186, 171369905, 1069061234, 242429923, 440743715, 214098964, 179411401, 781194630, 833057835, 1019305934, 547594712, 793853754, 869727780, 370275391, 1047565129, 111157241, 741378823, 476022804, 954865291, 839015999, 358671311, 304245710, 1042120719, 841150719, 34321130, 687540323, 126680818, 159752121, 421357208, 301937677, 249928701, 930252301, 798104201, 78342294, 177315265, 169325205, 1037450754, 33904909, 413177201, 422366573, 90056507, 759204045, 468310517, 376509544, 101570307, 502271036, 1001692051, 927650210, 20741710, 904687118, 410919834, 470758757, 699695386, 582425943, 56265453, 710254277, 25354295, 861847931, 367523691, 501783007, 113130396, 73361070, 580689396, 867984287, 755267864, 644345949, 170867188, 452608095, 486776122, 865325289, 104896217, 354839285, 893744036, 452823931, 11036383, 261684034, 126811942, 456142763, 970306494, 708099723, 162739184, 841326082, 337896125, 130379407, 828629596, 1025146097, 295443731, 879422288, 768831447, 568082484, 137794596, 663180508, 770999614, 285871589, 955280645, 228826134, 50153427, 544849042, 511409291, 983149636, 151067935, 1058784902, 636057215, 914630164, 679817771, 975208724, 158296135, 72082424, 101389322, 5351682, 321965218, 852940965, 141399174, 668616097, 188611795, 236498868, 878867521, 909448356, 765055331, 313626042, 283190415, 362714204, 11117471, 495325409, 347501324, 377669184, 633523355, 77103577, 1014956277, 360470297, 470070573, 226390450, 869753714, 692176633, 518881223, 410982755, 408791051, 22934735, 70734939, 297230394, 820743748, 323034894, 801981477, 196806828, 75028273, 982167116, 1019699882, 215860824, 520050966, 912572720, 32429843, 970435984, 827435284, 779466976, 153961969, 1042417436, 225836788, 408596912, 518995720, 942494410, 315987650, 667231128, 559096497, 941917643, 564220061, 275751855, 646215818, 44329995, 469695341, 144317957, 883128891, 1071111786, 1040835818, 555776053, 153761942, 406765744, 816832944, 461876264, 2556698, 1028342197, 105347956, 28043035, 1012547327, 379481915, 918505136, 559893939, 1035954367, 414927387, 780141312, 971076503, 791968032, 333083861, 108309347, 442497822, 890491264, 697993858, 575995092, 531035917, 324194247, 122097995, 671978585, 974816191, 505487277, 1066902054, 393355909, 973769891, 818700867, 326997301, 726428769, 558021374, 350029093, 492684820, 337510973, 600574641, 696648929, 459569056, 62564544, 431034866, 1039328215, 768860351, 704421421, 299117342, 597961416, 393074926, 157695907, 45599299, 978597925, 223336463, 559473329, 170839235, 320628380, 1012509907, 900210735, 616900847, 814050696, 747283483, 539052105, 346154328, 212757599, 429341772, 704311084, 461313063, 676842697, 31121903, 577492969, 593730673, 1062746704, 46302456, 309035391, 908926124, 673303, 669505523, 459976436, 23714588, 639723047, 94899351, 662782752, 928414986, 454649957, 441233728, 1024787380, 592515384, 504342774, 425203816, 300796699, 355557001, 67745150, 1072143086, 28873497, 773775745, 680641306, 6987749, 776909616, 819192703, 80033124, 1065222877, 541906014, 364603665, 526095797, 575551843, 617294402, 915484862, 331930257, 200714693, 643054013, 20608903, 898644587, 347038872, 474666744, 634511535, 62913344, 992671731, 739518768, 258893976, 961434164, 953216334, 135783516, 888694464, 29858826, 951617362, 846736634, 172802038, 249022769, 587432215, 536386725, 160589300, 534695360, 405706516, 59367260, 434858819, 175046387, 934167479, 103597593, 404198256, 571885907, 737844846, 826260589, 1017445711, 84479922, 480845036, 835027494, 631202737, 870652920, 948321989, 281131825, 908263678, 282305754, 804134622, 189877688, 268065316, 518228044, 344537945, 976575486, 151656671, 767860943, 906572954, 521258408, 749798186, 424995873, 272648753, 86160539, 879219022, 62126960, 512036442, 118518882, 403782950, 687813589, 156604672, 15465354, 786491647, 998411562, 1024105372, 810691259, 327471545, 235727438, 37217870, 743579837, 451091168, 315808867, 654036394, 259888530, 682974611, 386638283, 690482842, 528098089, 143120008, 956981724, 663437753, 573094350, 1031552205, 388228789, 140526787, 737564297, 182875104, 640641329, 963017398, 572656694, 917050090, 602491162, 223145233, 438230006, 612465388, 1017139465, 226373216, 661794672, 133358077, 164783777, 501742182, 930951198, 123226390, 433032039, 1024684535, 295152710, 39609008, 769859910, 690568400, 833338910, 821533768, 259614790, 885283439, 731653174, 489632335, 820965385, 1005816615, 563314616, 360780786, 752719159, 488455473, 823764713, 1016038392, 894560054, 606686731, 670600564, 1056694594, 853902719, 1037986066, 915046540, 22830911, 334919489, 652838384, 542719838, 953976095, 971281971, 348706895, 771790529, 324523301, 497830514, 677335792, 850002800, 178121519, 542180408, 346178149, 910771807, 483882965, 425455006, 955063462, 1021040395, 795287378, 122852409, 1015047156, 170763796, 1018538558, 471862411, 929565925, 135631999, 662415228, 849049642, 970694264, 675139897, 585533408, 709106885, 948824826, 385715338, 973120693, 158449883, 1070719645, 982471530, 910105976, 863332407, 325212721, 788408308, 576532362, 381314375, 150266199, 327417693, 264373773, 713666427, 888714315, 837085839, 573664597, 877514399, 713675244, 575320350, 634595662, 815718512, 487511720, 1040065357, 311683593, 406340823, 104470469, 1020937562, 401842134, 267897409, 669805210, 739578420, 795964846, 112082768, 786462678, 905656693, 106178546, 30935865, 618329660, 930058220, 619364155, 230067089, 981379029, 656947680, 1050541880, 559049976, 610078151, 14619389, 630149041, 630091780, 870221795, 206211327, 849391280, 1015445202, 488477545, 876024405, 204413279, 938888036, 820253875, 350037678, 340766668, 383733529, 870526638, 802554856, 804073867, 49414601, 587887664, 395445149, 151991290, 853656146, 1071305600, 113318219, 386440480, 324183764, 40704931, 110115568, 986140998, 39129464, 806857137, 450902670, 302444188, 18822944, 750480688, 66517782, 589204874, 506333803, 496358109, 535881154, 234757857, 469814633, 374693676, 607888402, 566134130, 675746924, 960786217, 918985875, 893614476, 646136185, 80454785, 478957639, 296078279, 720966626, 914397993, 46787070, 218519926, 621926872, 662618574, 954867410, 125026369, 97607285, 220986960, 140965110, 156860719, 476707934, 707692287, 526935623, 524102104, 460666522, 473329717, 448503099, 138302629, 852558422, 87939031, 793550304, 516644650, 589952734, 1064245655, 961652616, 812704852, 745082304, 1033226661, 687795315, 360844935, 228028719, 392126717, 493613659, 476890295, 810939116, 622520259, 823859202, 738737868, 827746751, 367580465, 292166854, 1022164729, 462246008, 702342116, 932832078, 299450967, 336273229, 909456404, 782379408, 332738944, 550679393, 155605175, 959379484, 238146711, 359866276, 662865050, 322558099, 714864253, 855145546, 79306089, 588139395, 857390700, 983917686, 451511446, 915611990, 363386999, 239298935, 778754031, 648572911, 771357315, 241930588, 127719955, 1063728267, 7486189, 751321811, 558414274, 886685639, 478354867, 1009838486, 1039066098, 895487058, 35115808, 726327110, 796043034, 606197307, 211200830, 492463801, 662817506, 560184437, 789980409, 603838657, 432734129, 726081001, 947212882, 706108906, 107183653, 84144556, 664344290, 300080885, 1053351988, 156815239, 585948864, 984739822, 138548749, 101209673, 670237783, 575878015, 106382955, 1047712906, 841126618, 446864871, 490635295, 681184205, 1013605220, 801750072, 4908866, 744559138, 670942449, 563124690, 640706259, 616409979, 250615680, 425004158, 591954761, 967570379, 135178056, 1010898289, 1020613120, 950953877, 930575067, 528491274, 712941274, 464382775, 201416490, 76543772, 419343381, 282257313, 186603786, 929025948, 741742574, 1721900, 508928585, 725892952, 958354088, 345577265, 730839920, 550666328, 112263389, 573678216, 197583573, 166075011, 448828088, 600987294, 768016490, 227350307, 323268992, 226534154, 457454216, 519445503, 672862093, 521396701, 981832189, 370666212, 996247097, 794996189, 203779138, 450069014, 522750364, 984487328, 792568144, 273084959, 752120573, 146825119, 367870115, 210834858, 1004839130, 347880810, 764539029, 839417110, 542311882, 583527822, 802126325, 61656445, 322125938, 896573608, 327977295, 592317522, 266238286, 822096106, 460174300, 701688420, 421402716, 777011189, 497234107, 1032262347, 993349316, 310071741, 613986645, 678097357, 99541278, 130743390, 276236716, 707224664, 392377735, 1043135741, 787591061, 163822967, 46886442, 798469990, 870269197, 34065908, 447798374, 79139496, 89456791, 921133874, 123070659, 61311311, 258289432, 299291020, 234558621, 412621347, 1033526713, 55858559, 693143662, 657547313, 682256765, 816318149, 478743624, 735345413, 754391849, 366557459, 586543713, 98125627, 710739652, 1009916116, 936658937, 192891452, 25262552, 16560633, 425997957, 615756032, 904723267, 268633556, 748990423, 624255730, 898486872, 654720400, 905327144, 265744134, 974347728, 789804901, 13344568, 340723123, 417873429, 501921680, 727494905, 1037835214, 636439531, 562792797, 863037849, 844009330, 991886370, 900585836, 565679332, 1004488786, 549363169, 201643177, 237807755, 157908835, 132256978, 833913350, 252636010, 1009368807, 257226980, 906634891, 440850029, 996597710, 428891158, 637026846, 66177980, 187905785, 750470952, 154115113, 696818452, 619013898, 436815361, 90099627, 1021983048, 29343050, 461597463, 707548460, 810576619, 685334201, 804978670, 978817964, 986741369, 308916143, 392762556, 1007613248, 496272033, 505267320, 884107141, 276465399, 945520128, 176705054, 60727116, 197617852, 118279854, 384889912, 69393957, 707634858, 230746326, 187634798, 743393110, 393810004, 484561369, 763874200, 237080215, 608537227, 636078702, 459863933, 664170792, 657773408, 106524938, 621820201, 601739393, 972882651, 253935615, 751488832, 577087158, 613831036, 895432270, 716926173, 695103459, 272961375, 945767478, 409023345, 811800015, 229474288, 693409565, 150408806, 706414844, 1045532310, 725034210, 501009799, 171198859, 966586544, 57448209, 166933648, 411863685, 405932753, 130638823, 1069529085, 557614815, 766560762, 718597869, 361684576, 161669365, 444110187, 865980953, 863482376, 763040963, 818660518, 387183895, 520989845, 446490712, 285978053, 147641156, 107067517, 817304979, 197926191, 151929870, 851434537, 190103123, 592380975, 19447748, 676545194, 877252972, 5047709, 507482115, 927428758, 999340822, 607986450, 178232498, 931467746, 650943783, 559874160, 981800639, 709302515, 432759954, 1032061990, 162565954, 680300029, 680995936, 448329726, 328076849, 380735099, 776571446, 1025338120, 674673965, 313000159, 771562552, 679884904, 867178872, 417028991, 769737822, 676115890, 744241268, 403486545, 386742614, 345658948, 920810607, 393473534, 868116770, 721897822, 220602611, 502693048, 990280339, 576316169, 600918275, 854832356, 46676231, 209382374, 302419223, 786534413, 968808935, 118116160, 494754829, 704767385, 112416500, 126430875, 979840860, 848283967, 757858222, 790280443, 456885299, 343228877, 791507619, 511613232, 809111846, 36162918, 194996189, 585865961, 12990542, 150084121, 427448684, 77958891, 910856425, 491951728, 1054271643, 291018579, 487012964, 767328295, 608348601, 624901557, 482039540, 350065694, 997143181, 90863924, 529489012, 1013307358, 733821667, 200653832, 223770742, 1067436062, 988733945, 1049191370, 996775185, 306213894, 766071072, 1036645548, 327304625, 915715522, 295694118, 284343440, 860674051, 172112009, 277066318, 339861498, 627355191, 446498069, 979158003, 808079929, 755124840, 609747969, 921590025, 505399735, 469295309, 632271865, 507298357, 376533293, 98375333, 777901385, 919467654, 70946790, 1030572943, 288093111, 465507752, 1037705060, 823979082, 501591233, 483143205, 646164179, 388146399, 436711986, 557233925, 1039439527, 832247603, 363221717, 117266843, 280278792, 24456073, 403997259, 782061531, 535430980, 896286207, 862126965, 446529270, 40394043, 746634932, 88278530, 515605637, 543838940, 917191486, 214165632, 348274253, 816938344, 74698789, 74594768, 918314852, 209669604, 740353688, 452207581, 628390482, 868304201, 80134981, 808879441, 153853293, 919448707, 589564123, 712925484, 831710760, 1065261824, 271584920, 387139167, 213860842, 7850059, 1062885590, 695644767, 797529291, 548153842, 601225133, 1063742655, 436871115, 1045292427, 432632670, 685728498, 834125670, 814654963, 138083526, 1072947327, 88307395, 838255466, 159344446, 843264733, 160468786, 540901147, 996504564, 272309718, 390748860, 276736041, 12508377, 729688461, 119930949, 357810764, 591146016, 719511598, 677022080, 478332465, 943514633, 193095115, 635622541, 164043302, 987788704, 236996389, 855388106, 878364031, 1028264055, 877768988, 43928097, 441517434, 592460080, 472127005, 1033200033, 887034956, 880432073, 1003109907, 1054393122, 664325321, 838448211, 789875064, 290795943, 892341812, 405850046, 224282940, 309893806, 432206703, 458862246, 734678013, 374908134, 811410622, 249573978, 64265522, 41179063, 109224715, 318936743, 510577517, 931076917, 172629452, 742447551, 1053390675, 89001296, 905267984, 632996084, 786475063, 822698092, 734492906, 80155357, 905830301, 267356223, 902843964, 132102763, 1064093711, 579274399, 323892418, 617004226, 46316618, 795466555, 18588309, 475320871, 86672824, 639174314, 752944378, 353392713, 143652988, 1063019650, 867861413, 73041315, 314508223, 272829660, 388351117, 209086563, 401952131, 990108431, 7504577, 257547141, 747951778, 544965446, 98551800, 513258287, 613823812, 120001524, 741749088, 482103991, 272673477, 738534571, 692050585, 583497878, 515070833, 79063895, 23279453, 715928386, 702689363, 205792466, 690808939, 526371079, 96953519, 191478853, 886338887, 764665553, 550411261, 538154069, 288816665, 623369250, 355096571, 754770343, 972230457, 767232225, 1053764346, 761351686, 50790773, 162056116, 858211213, 792533549, 412978946, 623048847, 108709016, 328709080, 176051524, 525848058, 423359679, 860328772, 514805795, 484754047, 1057234653, 654763442, 291977859, 882457930, 459129301, 366483620, 1008393847, 766359178, 261360102, 30648614, 1008322587, 666863988, 664560518, 621632896, 511310219, 1008414787, 539865288, 233916103, 895186632, 471521112, 115295575, 479880443, 725274198, 960471061, 516402594, 578498277, 530469546, 780222133, 1019124883, 209961334, 856545411, 181348422, 694081415, 715115289, 1031956793, 183663400, 1027294834, 688655077, 449887660, 1001524190, 905614134, 282901593, 885291355, 1070158854, 494927487, 155199365, 1061078540, 260532801, 484894485, 506852050, 397396709, 142673680, 383264978, 1039729469, 760965508, 496617751, 905449211, 794091468, 639418451, 806293170, 129056641, 873687051, 228506786, 392328415, 431285312, 130215897, 481433240, 114356416, 639525888, 1035802583, 123226175, 801438925, 370856639, 879142121, 489963669, 648685550, 265617883, 320689950, 419031147, 295536103, 271795270, 6298753, 4634453, 934881631, 286269505, 464240846, 192704372, 500013295, 61757750, 334892718, 159688605, 917132744, 652166315, 382753672, 597500909, 813723185, 828961884, 983737067, 883140703, 837461155, 630138756, 10399121, 609279947, 894511506, 910353469, 524239316, 441675206, 1025927232, 1013442694, 770008311, 363054756, 986964801, 940303271, 225355282, 870243883, 359659559, 657980387, 757561108, 785517905, 433292041, 278898244, 368126281, 828768597, 530344509, 647706837, 861045906, 760290974, 717332779, 928146095, 776264983, 1068318992, 389234236, 109697080, 887826513, 5171126, 727352197, 678615377, 921348161, 1010832207, 199799791, 607540468, 761157620, 308780769, 208215080, 404074637, 263166859, 140140229, 99648753, 1052844543, 775103543, 457840155, 606170780, 833256411, 887206963, 498772820, 598689840, 279285433, 237079246, 800912205, 336193180, 372646738, 474744192, 646714716, 1047825894, 276913513, 994303925, 522029534, 839130294, 1067580398, 679607211, 548648313, 78943230, 737204811, 581768171, 1058947865, 638347612, 299983794, 183391395, 772042071, 983353143, 1058204244, 60974397, 904393299, 63195649, 223212789, 859073285, 766941102, 916225247, 54666028, 295881744, 403160144, 258931801, 375742535, 459661149, 521360908, 1021893840, 407522237, 1057919114, 932267595, 876521071, 939425768, 1005085677, 1006574679, 46055940, 630241590, 971109636, 220960334, 517417155, 252440936, 353728500, 4571690, 868142910, 203005070, 790902901, 134080464, 256242442, 57161287, 1022918588, 189097651, 402365549, 687969138, 791184065, 167641168, 23256173, 1038349258, 275152048, 203703533, 699366249, 928216992, 23482684, 571875277, 132685468, 176265472, 659342923, 1036108685, 833329202, 308958237, 614888933, 552789165, 558133136, 273419229, 547050271, 684527182, 802887057, 941026516, 57243001, 62695762, 779142059, 976532520, 59250825, 80388966, 474648621, 576216174, 163181883, 766496793, 366655486, 307483189, 923461022, 505758364, 471633504, 343944931, 527948753, 894397749, 533310999, 1042659625, 1034470680, 899811579, 11097800, 208883604, 781928076, 907762261, 911212082, 1022410034, 7446641, 842116254, 740156375, 8060832, 1050073935, 541204730, 602991477, 667006677, 118584809, 258918156, 914285395, 158588398, 957547541, 507617923, 610537124, 186238733, 435351142, 743516325, 326080566, 474834159, 468539003, 85872501, 1022152409, 381159623, 704282418, 3468801, 528647076, 333414789, 352550832, 186846731, 90536131, 418157380, 228281637, 576660506, 387614403, 117069247, 1068809979, 155301218, 379317714, 394854748, 246345183, 573965172, 467797143, 687343157, 1029830892, 245031576, 773661823, 248526742, 204281942, 703657765, 216634567, 48218509, 753530473, 774087954, 751729098, 510428963, 308268586, 422052367, 598629526, 499140844, 164983429, 480507651, 820382151, 859852626, 297293687, 754706189, 41533741, 222181618, 125721978, 35504332, 555005918, 243218510, 249583230, 36164326, 367997786, 186466498, 402010719, 512918952, 346020849, 487057808, 325896854, 821847728, 1000674745, 473999000, 152591064, 740618908, 887846639, 416290611, 401649009, 372925466, 163479654, 1023671155, 737495075, 1053263722, 246376005, 140448516, 436990207, 811996323, 587446929, 1990008, 594844024, 416842526, 1058953258, 642241192, 147378349, 378529934, 898144698, 632229021, 946035994, 9519469, 686550055, 531637559, 376816291, 258987915, 482889901, 162123633, 553776294, 1053205186, 89133751, 40308365, 988783279, 769148502, 351504928, 911314852, 889302896, 55317511, 382808320, 72323899, 268774852, 440050719, 1023812279, 508929241, 49043953, 797207845, 375163688, 642034986, 535500449, 1038133692, 306431366, 270907395, 363126376, 619893281, 459517036, 942132656, 819574546, 964238574, 155763565, 375493166, 489144684, 117296029, 702950366, 60846331, 415567254, 1016793050, 161056480, 399900683, 469768578, 731728738, 293887892, 472593515, 118687622, 709626146, 731716347, 107462931, 317184333, 133733138, 888161705, 1063955464, 225130430, 279282937, 458901011, 609869690, 445098685, 751811163, 33817852, 481744280, 124040091, 433130356, 516743615, 28972670, 688565749, 406183048, 18682584, 505473207, 65826526, 1031090111, 658701813, 1027060042, 320784880, 100305144, 119927809, 774460477, 683773434, 820762120, 447364236, 85607457, 314344949, 342022945, 256394866, 1044243253, 613183026, 1042465673, 121104622, 425245399, 303068470, 411788072, 59002988, 613844889, 51658640, 434442351, 184471558, 149800375, 779395125, 685232189, 64707164, 303050954, 174726766, 247938570, 112060974, 899461680, 914791597, 568103388, 311149238, 762248997, 1042584707, 492138471, 529552395, 556322113, 951651126, 343244099, 87837348, 97157287, 702383725, 722362068, 524524784, 848658392, 806306751, 561078197, 410322112, 231152983, 11417478, 416974025, 480213613, 150489349, 772736282, 893096274, 503738008, 239746261, 271608087, 377104888, 877968743, 61729860, 867842632, 772111059, 983141822, 288525779, 848196576, 197372113, 186761648, 338339624, 942287615, 672926115, 987526501, 623603180, 105049638, 878301398, 886783067, 296284132, 212122475, 278663437, 875043838, 314404741, 750899857, 955455174, 357558939, 251880908, 529091295, 294292933, 471433868, 121040628, 576132299, 70440118, 450882804, 584712110, 463086761, 864717654, 742626793, 708387348, 406528310, 376774275, 1014730920, 707189546, 790297098, 1072768294, 946108315, 371676859, 143302466, 861813617, 680937547, 977984570, 925468826, 713982746, 90368996, 817499032, 45803900, 341407315, 316638393, 829015456, 554823612, 733721537, 532863231, 291120829, 26026286, 160238766, 714388637, 716686609, 130918711, 1024180508, 225394111, 439429632, 281336442, 1018926402, 1054067815, 807144843, 588485653, 957479116, 491691522, 288386647, 976225814, 443832886, 309571898, 732327338, 987206032, 193162903, 626962610, 573825036, 416332319, 298170211, 840045410, 557466047, 267194663, 1055995646, 561217983, 489381444, 962954279, 500325137, 292934756, 201724097, 806252413, 180391432, 856203575, 840515682, 681766501, 500099150, 891242316, 966709823, 414411493, 1017485256, 393438065, 864887641, 31403132, 816498806, 342757489, 255297437, 53656141, 178090639, 713223749, 460874639, 370109958, 176897795, 705590450, 917099464, 402149809, 793017591, 830091043, 930536297, 513155499, 192962623, 591835805, 341044961, 695187986, 939184320, 616853214, 807445453, 289018449, 737796353, 743602976, 438426015, 814079984, 985298776, 708445262, 250244141, 397496447, 912822669, 890944132, 306478435, 31731115, 356598337, 669715790, 580156694, 635918723, 346056956, 565079790, 508665237, 954209311, 206173094, 1023826391, 715177426, 824799907, 69781031, 779909576, 430748359, 639325997, 155075594, 1043924369, 4644670, 364770758, 94329919, 362739286, 520090144, 760639182, 540176996, 969483271, 480058715, 538985933, 426111175, 1062908303, 733498856, 88989079, 604641864, 76036992, 51474524, 150785704, 494937525, 463528537, 891815066, 668499602, 697620333, 314244419, 813151288, 999214371, 772361100, 301523608, 361955735, 331872523, 754861189, 388249387, 969015863, 1038157395, 21985184, 182338283, 776545770, 1028459863, 342839214, 9078109, 524329137, 631854056, 550598252, 113475066, 22068411, 465784136, 153382808, 645036688, 877307126, 926837683, 48074558, 620392464, 639495621, 277712325, 965394453, 71400690, 132791295, 508401018, 126014141, 444939170, 832644688, 1059655894, 389741294, 941013237, 131402999, 1047576150, 1000093739, 42570128, 727103892, 728213706, 984468117, 786279827, 135823022, 1039565781, 675162612, 934124776, 120896825, 436122834, 134120276, 544703912, 52831709, 968403533, 241894189, 680196457, 865265542, 930528279, 771965365, 641973185, 909016602, 817140312, 123986184, 900698074, 90122095, 361411748, 80538949, 946757322, 610922916, 391170142, 880301106, 278226293, 437521739, 415503033, 187609044, 460163952, 555726855, 871187936, 176227990, 1060185416, 118014703, 507432500, 382450836, 7471429, 144568573, 471248777, 650833512, 884691771, 256157146, 833787785, 420622195, 96853955, 263208333, 842884652, 960297052, 697310193, 6252403, 1000026673, 385889392, 74176605, 797954628, 748482435, 1066467579, 662535446, 216363938, 361500436, 482555540, 100122314, 490037797, 156328986, 102582619, 111439, 1057158153, 449813446, 712544686, 532315208, 240254807, 735611695, 155743896, 19827070, 631739725, 816033574, 326725241, 166424740, 920226149, 177718405, 439387622, 373019109, 1044480592, 915841951, 845813479, 84324316, 989167241, 414784063, 472559777, 1060506175, 566679918, 1032957753, 939282906, 310727655, 859753352, 959075970, 128621701, 916708337, 292618542, 290482205, 109746113, 341756957, 618603282, 438807309, 490369941, 624255673, 556873667, 676179339, 317219910, 255686514, 1002208678, 564053833, 916646325, 514280790, 99452351, 599768475, 1073139063, 597869069, 1034955574, 491739101, 447009372, 340672810, 300715868, 120457593, 812143437, 254166816, 963675164, 754228643, 225148093, 634372105, 965097797, 293771705, 645513186, 80216890, 703767122, 748321057, 211439475, 67329518, 666724685, 96471855, 330153296, 217959604, 63992873, 36116176, 266551809, 1065274561, 809110076, 580971989, 933949184, 264149371, 32877688, 566784100, 601177661, 734072944, 934323147, 705515306, 1050031576, 375620987, 406921696, 79726619, 425258299, 890285768, 644053856, 844350186, 828597959, 872871895, 87922107, 388901246, 358742451, 165464778, 225722708, 196248673, 417423190, 546935267, 308711260, 282309272, 241178229, 628469828, 141878924, 636685914, 309078920, 270486094, 60379615, 371711379, 545207379, 443080745, 1452669, 858553769, 519106148, 764621134, 1010996595, 947349162, 243213531, 177484304, 454220870, 282534712, 235181306, 796263, 1043914924, 123220826, 448117315, 116545008, 703166770, 620389688, 238674790, 148309174, 63203492, 99337081, 497537788, 716798686, 283000377, 40444342, 1012208934, 334140749, 87680602, 611518218, 529423782, 624788505, 956958355, 777488650, 457121101, 1018428181, 295083500, 306296095, 577856496, 226470407, 362223136, 779797639, 864829485, 1029428835, 299412755, 473455336, 238373045, 442211696, 236000600, 899298793, 421173762, 406490485, 314404166, 97132407, 510485709, 872329087, 87198612, 281519397, 643186649, 237269132, 384505171, 536051089, 323837120, 793056831, 1057250735, 761734658, 491901982, 110151672, 827052766, 743485812, 829024585, 427660980, 722427554, 944898719, 110786593, 395628785, 551437395, 782892944, 145853241, 302777491, 459715365, 777504364, 721921729, 51729788, 221094032, 179791467, 110812056, 485542194, 775108145, 222872553, 45224742, 835029461, 805489428, 569405083, 609188558, 770819573, 146626707, 598603228, 188795961, 26809670, 329116119, 427674842, 13540707, 588352132, 301308251, 55399283, 1040961896, 829071363, 26416501, 149846674, 734103076, 442084668, 316796636, 383754641, 613033660, 623232328, 402420456, 481958815, 411527836, 498288044, 302836768, 759499385, 122529668, 790619155, 424275655, 539108002, 28355995, 1014694971, 404439232, 974951286, 517866677, 324179123, 894034908, 336341825, 484020736, 494240810, 646916961, 858053343, 859938428, 79361731, 956766251, 249302483, 344325919, 331989736, 235796874, 903427661, 916237238, 892085222, 1031848855, 741539985, 1024952392, 259465120, 444212566, 343351902, 1045770856, 768403840, 1023369564, 93575309, 509396467, 467961882, 429765921, 248847874, 249060119, 457739769, 921586664, 124781755, 1031713129, 833570274, 938779438, 466844655, 842578111, 321896274, 535627834, 1027977098, 780638832, 481244464, 776579903, 909874322, 123732036, 464384349, 3311042, 282228779, 569625390, 904098640, 1051840626, 1013233026, 590315582, 896563209, 103197003, 270517325, 1052691738, 697749708, 553887433, 86997413, 483239851, 973920988, 155540606, 102663857, 144318793, 777072921, 263888603, 471584076, 331958659, 275863732, 235904790, 930773741, 569555268, 130874968, 883724076, 120436289, 76356699, 531523470, 84249213, 629194791, 58760878, 429393658, 573750629, 174801966, 518847810, 446683469, 146649631, 188376581, 313883881, 344641256, 220854531, 713347766, 305460190, 61871106, 117593635, 693183901, 24676070, 510240800, 697702791, 421608203, 223101528, 736745126, 354325795, 307096242, 163089440, 919249597, 806951485, 269391385, 292741378, 776500855, 633093042, 944413318, 33434571, 183243494, 39514675, 896126639, 696938654, 574129360, 40490686, 122153213, 226241469, 533960256, 109492756, 155716303, 651954339, 757022689, 260609154, 283917932, 397217689, 835735597, 1050783218, 91149671, 498013533, 222426871, 326402544, 891420434, 763528155, 386432655, 248418950, 575860253, 1061991667, 911145941, 253855684, 29423296, 225617044, 704526401, 274459877, 185158666, 1064920037, 47273587, 665324698, 346766305, 301035840, 1052919484, 374948689, 363595057, 994743862, 97631962, 412671315, 287614706, 431756285, 484095541, 55161485, 215504007, 1058099390, 894009496, 304927428, 168111370, 60961729, 920121050, 862960707, 496147506, 331141023, 963485644, 282668520, 644676478, 780698357, 1007859288, 343226323, 544582486, 653311569, 430789686, 883887879, 893331939, 588849532, 535338943, 815889534, 120564051, 469546451, 988648445, 221650846, 148158418, 658209546, 929485894, 841591641, 934803852, 253377586, 902040767, 830601909, 601419356, 428635795, 1051849438, 51248849, 190893562, 737100556, 891761302, 1048553738, 914832694, 539429834, 605949403, 691191763, 882364633, 237036264, 943459155, 201446610, 815623811, 686988237, 996301640, 280423056, 176985469, 223991551, 134427995, 826743956, 415777817, 898054438, 1046205477, 836417019, 588849468, 504189312, 62349367, 1065357180, 981016801, 511385844, 51817840, 445103173, 974733458, 767266364, 642195879, 549435285, 978213420, 398611990, 230579911, 503339878, 334915761, 173257828, 600860732, 906967848, 277672600, 688428123, 733063345, 196058999, 511235547, 493633909, 949957670, 385104012, 772222826, 362081153, 180866316, 666752455, 337366604, 720384323, 315640499, 761490599, 300309267, 872851545, 1017947240, 1030746984, 1068332534, 566422639, 346557308, 328541113, 779475344, 15791308, 995710415, 332437580, 1033838832, 976495596, 37096544, 296911752, 92853745, 886058935, 97770279, 890084759, 801792032, 40865010, 152570495, 367798454, 610285114, 277214614, 276830574, 571951947, 446438551, 450013985, 833598545, 1046172299, 788608031, 425179942, 295644609, 1019921871, 231828600, 549175039, 507606079, 334582297, 118075874, 864373253, 157988983, 80921071, 961964039, 218237892, 466380221, 718335070, 823104147, 794308761, 138136068, 918483619, 390182600, 281136475, 303789521, 1028330497, 359802146, 866042924, 615567751, 442386635, 318993457, 85211979, 315317532, 98039759, 520073293, 216065036, 321167234, 729016040, 5551212, 656754944, 276011619, 673676549, 601027674, 917333557, 1020301309, 606558011, 774185446, 991727863, 419207648, 285475877, 418813382, 696434429, 628013001, 1051542427, 298442029, 68502670, 308775896, 649397011, 1020869805, 50274328, 625971171, 531098440, 673453834, 227581047, 409433632, 119304603, 78753940, 824186660, 179925888, 993896011, 28693175, 14099493, 207663728, 535143765, 875181061, 248245870, 213030847, 554111788, 844673547, 946526697, 286588549, 6064262, 637792587, 1049122467, 327450242, 756218376, 207242920, 85997322, 340024561, 675812459, 724499108, 300344197, 862670673, 864769153, 342269257, 330748175, 923045999, 327204566, 82413781, 613947307, 137138952, 313405285, 280977153, 912149570, 367752131, 621482310, 218716113, 306524692, 247832751, 657187650, 6656292, 388139380, 850795866, 474656549, 68212106, 658982830, 603671292, 919444475, 868085796, 595717629, 652916236, 824696107, 304493009, 683869256, 630132358, 952720730, 912088472, 107243635, 56524841, 680031631, 822457759, 471716810, 805976327, 346246545, 283942547, 46318839, 202827464, 966424154, 1027144994, 253548950, 694160937, 94780647, 104454611, 405104410, 1359063, 267066387, 824351407, 456576210, 1066134388, 381975281, 622728579, 666540079, 411895162, 510317106, 675898284, 664664724, 652866342, 455603307, 796021855, 990179720, 718170241, 81154538, 443387089, 76921169, 839493075, 696200006, 351631678, 284666972, 328011585, 350402070, 354258550, 57467336, 608030281, 944519307, 555812939, 568222401, 497067217, 1052560587, 515516242, 459181631, 639266956, 1059762769, 811523026, 727357754, 245041538, 155969607, 82401323, 559611444, 164236182, 483057662, 430453117, 636265536, 245159332, 935322470, 131898374, 1015643970, 834081883, 1052636932, 414494235, 311179227, 1040714057, 20651391, 258306764, 319647294, 854919632, 576962430, 130238415, 194281502, 646785291, 758654395, 651830192, 314352941, 729920836, 591879635, 297889100, 110328381, 172801672, 545975985, 771830445, 548741545, 675679324, 786476765, 855647264, 786325450, 156668627, 543658708, 737935580, 986969103, 766387455, 958798200, 18306129, 606821522, 307321103, 114475543, 125154221, 685096081, 720691308, 988585710, 414028368, 543649085, 734912341, 1039351719, 605472245, 312145841, 489710738, 668186776, 817823198, 149825133, 102958944, 243756273, 212547088, 743540955, 45441719, 675425320, 162344489, 933002459, 595141682, 821094023, 162100370, 745746129, 838433516, 259833394, 343765144, 344738398, 187902511, 782651615, 868705247, 254241378, 140129314, 315033787, 435308888, 387726054, 840254274, 995017115, 112210824, 24398554, 967168524, 551450911, 4706459, 201927654, 913424387, 314219580, 919234918, 807692034, 705626927, 953357124, 1069076063, 362506738, 148697761, 386459765, 9119527, 986345392, 524848283, 379014581, 112518840, 758662855, 444064147, 1002750131, 424274467, 281391780, 822639425, 479302171, 618850743, 419542742, 450211837, 949617442, 593359746, 573201534, 549619232, 490459037, 469471880, 424694346, 166954791, 278770737, 872719552, 909450803, 776116041, 38799591, 954976647, 320255057, 20030501, 708577253, 250592233, 582420908, 772941664, 1052153425, 269631152, 543926668, 74510653, 31168743, 866325377, 205132553, 593025303, 562590382, 394065667, 682582203, 312837333, 192101917, 755719603, 923940943, 133146431, 68206960, 826784804, 654035237, 695888839, 377658072, 57498090, 1014725442, 447608224, 798029798, 517261581, 578372994, 389181541, 154625237, 439718876, 743401687, 652311603, 404710380, 915661712, 263214644, 232104184, 210534077, 723958819, 173925885, 777113153, 510009605, 500195630, 769649667, 695691895, 345803151, 1051587677, 887861844, 637379288, 594799861, 68850821, 204250029, 209840436, 517292420, 173648550, 222305264, 350053641, 255139403, 836941777, 900342881, 330142844, 449439688, 554809829, 555001360, 339580756, 533341106, 79137664, 1034802276, 100332602, 937768699, 593808344, 429266348, 21345355, 727995782, 894205449, 93610430, 415541518, 843074163, 479382515, 713209336, 360492015, 334264733, 381348898, 699174430, 220036983, 322174326, 765549868, 844906695, 234667395, 254049236, 738376969, 303934663, 813186369, 150038639, 359904412, 676456906, 1041780330, 611394985, 713594089, 632939045, 62616759, 712084966, 347008405, 1211111, 639187488, 1035995460, 1059279723, 495977516, 1008824547, 971130826, 372835978, 763543027, 364203397, 150549288, 546842346, 432526949, 688152695, 1042671298, 1017589305, 449572959, 341629774, 1025560303, 839092380, 213773336, 332129136, 618929618, 1048339770, 715182771, 206980235, 266048683, 655895845, 225676138, 1073633996, 424335813, 852896174, 961367134, 795710004, 99977342, 48894644, 812163073, 930281653, 824598515, 207997663, 645818075, 319938680, 335148876, 736088137, 546346454, 1059843565, 22411491, 786370994, 374337269, 906493206, 456736974, 741755642, 1066496873, 480479445, 633346879, 455641075, 122474422, 937730987, 285721348, 556688204, 618609371, 484915918, 537334818, 626383676, 215705582, 535217883, 704149184, 1070245119, 839330127, 257050530, 564820507, 851214179, 656770117, 207946987, 983148774, 300258288, 309078105, 535888145, 92078762, 623588438, 838669757, 5957401, 43837806, 695324535, 935610037, 275260054, 1057635267, 1027381270, 932048489, 461392111, 525089548, 186940763, 349472253, 857402492, 846223339, 574729159, 493723767, 842300112, 807682552, 493589501, 772022383, 983793074, 39607670, 481067534, 762183508, 1032470419, 85071808, 986584263, 131273363, 656831493, 640824019, 147803014, 78870104, 982966337, 961317254, 225825937, 605378646, 341737309, 9172112, 102297414, 292812029, 3990900, 636953562, 116038775, 939343768, 119430375, 994448213, 68202021, 967290634, 516536904, 36352588, 631923983, 716856178, 873242354, 758779988, 696117968, 884032960, 492304726, 173639690, 215410499, 419084005, 504860367, 1049108775, 328427700, 497285892, 461766622, 2380673, 48410301, 994367158, 239070275, 192683895, 744571553, 409591222, 789294683, 628984852, 886253747, 778195130, 234102408, 365696043, 295936470, 545856250, 477638201, 198587077, 856569496, 794172407, 281652392, 602590084, 696568770, 257105019, 328237222, 902125550, 825419041, 281308310, 721059488, 156431768, 334957665, 1071077298, 484123093, 78349593, 178873519, 402382060, 690119714, 984281576, 917961731, 171839417, 618365596, 693675259, 691772456, 973543666, 497971613, 347797265, 546485165, 166860909, 860182797, 332711252, 351535262, 730058420, 636030165, 779430698, 796214654, 408273321, 698003401, 602855417, 154815345, 452249061, 143506758, 1036713523, 31783205, 348993772, 953621995, 129353950, 770846529, 154497472, 1056318329, 859117013, 842425419, 101407429, 990069083, 159499539, 610808095, 421994634, 340687312, 779908073, 823030307, 87856034, 721911835, 537832567, 547983392, 152915706, 59561226, 724909535, 765610779, 117723030, 523885668, 476619828, 636422581, 31331003, 606597200, 476580022, 105983353, 267188285, 46436855, 29765844, 357745524, 450239654, 926084, 878684092, 933493815, 534870977, 578143359, 648451533, 780323009, 535223741, 236943424, 960057501, 853792082, 733606956, 665857251, 180915191, 750009778, 297566041, 955697761, 354391226, 390080360, 148048171, 89297358, 486586582, 271214725, 526195657, 351194735, 105544154, 678193276, 392470220, 446991059, 230828074, 1054190643, 969585007, 147534444, 592030722, 620730465, 690609684, 650999817, 902447305, 435454052, 982798472, 77835054, 876679666, 887237100, 496103879, 187233465, 193670307, 89833878, 856707178, 775153192, 275030940, 759136465, 53873274, 819416699, 362560874, 88561850, 475259586, 318572505, 619994169, 853678506, 592784463, 864419298, 285656366, 317846293, 288827989, 336512806, 922052982, 508685738, 131964688, 892544640, 92381653, 906638937, 655333480, 854988743, 387864611, 828994614, 99098048, 714323646, 965983290, 785534958, 952796743, 954499406, 106025852, 485038714, 70860331, 811810420, 580298174, 444897769, 914754200, 565970378, 668371489, 802938572, 503609763, 447842668, 484912735, 34968065, 740005716, 525511268, 14588542, 314575032, 212835627, 860785595, 767126674, 558686681, 163833238, 350915432, 323902022, 471070040, 864407464, 606128538, 538811802, 287792961, 659370131, 547811641, 97291854, 664389377, 853561439, 120218083, 487387105, 86795328, 441656239, 942412914, 814484627, 732598655, 609038719, 560581897, 883879613, 167932004, 1025549098, 372582576, 727561227, 130546654, 626462901, 271923130, 300122302, 393581747, 748308271, 745535222, 982231268, 731511197, 615752222, 517312159, 34713588, 497899819, 276130977, 216265524, 342781915, 387120205, 1054107717, 575033891, 844233461, 487753062, 1029782213, 839258792, 867497104, 197996407, 494110853, 1037164347, 720676393, 76298183, 808235804, 667619173, 705918848, 304390863, 902818537, 227658898, 457607708, 930313348, 262658178, 134630455, 4533188, 13749035, 1062203078, 428851919, 271352300, 233295466, 640870909, 320424594, 476129222, 259347350, 822321814, 262029262, 24514067, 809789659, 613892574, 535006284, 398920130, 1051600180, 474167176, 1001006384, 601971509, 581347366, 631291741, 538576773, 370735495, 150691392, 610360309, 235714923, 568248059, 161181034, 910327693, 236656671, 187324037, 276307057, 276658165, 468578442, 792768293, 921851706, 1034959076, 381199033, 676535345, 187151280, 907892372, 146783828, 1019386993, 127250026, 754753679, 563755868, 47169254, 542068189, 747965868, 785512679, 689249482, 526363453, 189687814, 840770539, 808299681, 39755604, 175680336, 633672210, 665208706, 202292858, 280290336, 701321461, 458477284, 228900476, 642036718, 134142266, 1030873662, 820612253, 643284994, 679221682, 946425575, 176519546, 601994143, 43833537, 604422720, 269422049, 969517495, 472609485, 1005062555, 691021460, 907945078, 306096981, 102456222, 881798133, 1066910829, 48485054, 435764447, 920718946, 452444814, 1022012633, 504337237, 347833633, 1001147336, 88095597, 527747161, 253122613, 428388113, 767296824, 558220241, 29492450, 196547812, 971413270, 535720062, 918238678, 416520622, 592352221, 851536238, 517908103, 727866287, 189061809, 670673004, 314934446, 108716905, 38364513, 267832685, 634391824, 587881186, 589157625, 756782158, 741077630, 855308375, 453191378, 339152646, 850846932, 1052465112, 131581063, 592792284, 150812396, 641129980, 203707216, 230388528, 380641845, 900653314, 657372326, 158023672, 819257781, 1009868198, 859529112, 532154383, 936390717, 750844988, 766519878, 329319014, 726646738, 723534160, 299555187, 398026370, 481596810, 834255839, 887090569, 728181478, 927403981, 117019957, 699390691, 687034358, 63119173, 683648198, 629839427, 1009630884, 722364662, 3659787, 882485064, 16578810, 123288058, 348220997, 212011006, 804443106, 110052130, 316444850, 375787892, 865428234, 763079287, 1010100373, 169141782, 537033696, 108222701, 768856652, 333242000, 963172581, 232085512, 52476051, 594436900, 887424912, 443851727, 873489287, 610932989, 119228276, 706045932, 963516781, 834415713, 169429310, 609773570, 433573430, 820718710, 941643912, 588456306, 554266717, 318314037, 952383733, 292690796, 691911727, 745492713, 174686201, 750934581, 890448994, 977210560, 271136364, 950694059, 712049425, 869546205, 532933721, 686009908, 933210398, 704111212, 420436090, 185606142, 898371338, 379580340, 461817642, 836375923, 296386976, 402949492, 349423317, 954326093, 953046571, 287863670, 710029509, 520456700, 731194901, 218217359, 829067252, 561806794, 109852643, 222005939, 293223483, 127511680, 441361879, 325413489, 86632142, 514280631, 252189661, 366337847, 196893738, 746002484, 94147933, 561039924, 1073169129, 730283864, 413476138, 107168858, 333887442, 509905194, 195240024, 235493496, 382586338, 254921212, 443726257, 107178150, 211669473, 294385875, 901409124, 452927373, 260111050, 257294129, 263202172, 269863185, 112183821, 230372128, 892378413, 301898716, 151220092, 663909527, 462385203, 576102839, 271049948, 747637161, 44534459, 754383868, 122225725, 676165333, 542291773, 883026243, 1029291242, 941157089, 347237447, 835505755, 985602236, 419906119, 624776657, 684240086, 663390441, 477068868, 412618632, 782057015, 913375587, 857550669, 111219516, 675701091, 1005396699, 631090057, 974604118, 508412076, 472654472, 823951096, 896664473, 879607524, 220785299, 94170497, 929271309, 942667890, 429518232, 631591908, 67220895, 1035892335, 912551231, 387589829, 772806890, 960246888, 22451053, 116373554, 685351470, 418052502, 465234901, 152782188, 789733456, 139205010, 334450806, 424769838, 639215241, 78506705, 923922148, 1018558533, 194079340, 750713128, 1004206475, 27825344, 329139092, 775616485, 107331340, 405029032, 261861404, 266863324, 368538045, 997661724, 1046627637, 399364509, 326599587, 593241941, 782371954, 356576763, 681248686, 600695241, 252519161, 119790239, 327429191, 274253059, 1046124751, 1001313735, 510337401, 728338214, 569743625, 356285800, 41359365, 633026657, 132365748, 156808555, 498659198, 487838762, 650764838, 899595435, 847182092, 930477467, 200265019, 218416755, 958171922, 148696052, 323062674, 941259097, 991867818, 232157810, 577970719, 832215471, 73406155, 264037352, 676165585, 928020917, 771717950, 950644370, 356274800, 1037645125, 906088766, 589573742, 124266723, 655851488, 786971197, 349166741, 408566599, 638112607, 640062662, 846424392, 413789187, 627079445, 164058264, 552776526, 372019330, 568981593, 86978804, 200371196, 353891598, 1010624097, 110611858, 899339191, 417848667, 46271716, 511187461, 1024431534, 67689907, 184844058, 409504480, 496022949, 57848997, 697112, 189137245, 1028083482, 670445328, 608873287, 582338317, 73164285, 473963379, 886381485, 364347393, 460002456, 436495413, 428921089, 302767708, 454576674, 842635752, 888676990, 766042963, 313018836, 481037766, 577498696, 956000106, 220768600, 748209885, 678593300, 13779342, 268220804, 283284011, 890798133, 576394357, 791004438, 827068456, 558023983, 187158804, 16643699, 246138176, 987138832, 1032724102, 466093916, 641173597, 697009434, 605364556, 96013012, 555708008, 128856397, 7507315, 416412135, 624080535, 301848295, 248511429, 329682936, 599475138, 314960481, 42283499, 698941208, 666854735, 348422968, 743748853, 565400934, 258644037, 486737132, 83195374, 123996301, 54940705, 77121394, 667074695, 970560184, 400785011, 798158563, 924297883, 396999280, 1047382430, 147396822, 1055335754, 910047068, 836760669, 637994651, 104852299, 557463148, 1059665466, 79259712, 847410574, 699093605, 616994104, 980055950, 949471373, 927588575, 1310603, 584976810, 120595293, 810608860, 232793926, 869667263, 1012339128, 760960029, 450438785, 992832789, 431891288, 474216976, 397194599, 539385764, 746257280, 524653167, 736786669, 364824362, 890492059, 475021111, 562728971, 660099260, 415577136, 921560171, 719043186, 807679106, 188472433, 330789436, 456660803, 507990946, 952311617, 29904450, 1046451356, 192229428, 987919364, 196098457, 723087767, 1055542969, 612009483, 786864711, 735098313, 778692977, 795051530, 589620314, 203913153, 177007199, 38429504, 836335352, 858108359, 424475697, 349872313, 435743748, 1045948590, 883617934, 400261448, 968536967, 94237535, 157749814, 533001677, 517912314, 731304094, 278036552, 1045545738, 1020058508, 417492931, 435514218, 497657358, 382636039, 206396381, 467339844, 1019923744, 346156889, 962469520, 493305904, 452311293, 322601043, 513959277, 868103271, 371013918, 812924894, 850296613, 160067580, 839874448, 46132373, 693580769, 617969967, 1014121949, 425889993, 64246556, 759061631, 716730839, 1011157791, 550103574, 389591799, 384958376, 105135642, 648325104, 604131665, 652323588, 673168339, 995918102, 931280723, 225247484, 669372977, 534083200, 684195740, 230840286, 889048259, 721317913, 504797789, 811867588, 584832789, 482175645, 834989003, 686356512, 524533918, 766928823, 510072709, 445484723, 412574862, 56620777, 402952453, 549729239, 737720936, 230870660, 8442214, 511132494, 116519629, 507961124, 695718403, 1042938113, 577076972, 227504651, 332602245, 228401803, 155774468, 1041963577, 865791593, 897954851, 384208748, 1066092483, 976643114, 191879971, 804771174, 839322819, 201879774, 22367728, 486738725, 722058948, 828566541, 1048072015, 596988713, 757252652, 165297334, 871653814, 31117144, 227243079, 52239879, 9782968, 681789278, 650460942, 136883264, 217577782, 458866476, 643852005, 827757677, 616613586, 19922612, 341032587, 421735988, 508077858, 5868405, 463429647, 808997189, 711356439, 137848615, 898909636, 334662406, 984342089, 280268155, 60203551, 71310793, 975890738, 991895732, 671817541, 401233536, 817964111, 410392939, 731801074, 816029997, 640727145, 668745627, 162435590, 919091747, 671819966, 572133025, 677841754, 439120118, 895117872, 888465624, 483693794, 566685369, 817109495, 301097105, 761102574, 939056364, 714502499, 833493820, 175948277, 491378318, 1010976261, 1053698128, 823000632, 699448359, 971454457, 387492029, 681278965, 194198136, 14351175, 488323182, 450430359, 546908124, 52374253, 126844188, 996255713, 71652739, 804342214, 113076923, 9012997, 451010749, 322573382, 629218929, 955533817, 91488752, 83619018, 517351268, 318281755, 640879677, 584569460, 622363909, 494743920, 342861339, 127674456, 450327910, 569702136, 244573358, 23989574, 692298492, 907543546, 139428544, 675825907, 196664181, 1048511651, 17548253, 680773791, 990226730, 577073817, 533187868, 497031671, 698705217, 884804565, 905738296, 579013194, 590493404, 19411666, 212703353, 167271772, 451312394, 450987276, 374443025, 101783115, 224461048, 492836688, 741792563, 7020050, 382133662, 453302309, 400043487, 641840755, 142918549, 375328895, 237926864, 727284306, 529434501, 451467162, 480205962, 821566984, 87030632, 518607552, 404220678, 785438510, 17480842, 669961591, 228892081, 543820014, 239453281, 502609783, 689799078, 815478021, 511352515, 425738594, 661285658, 597836219, 443665607, 1010185665, 141735471, 571740979, 1008175179, 894162295, 917626819, 369143981, 420002003, 142763313, 489674582, 166831407, 234389714, 856003499, 902605827, 417715512, 651339416, 196677395, 138049557, 906841439, 554880982, 282924998, 78741918, 745749829, 245158806, 795040139, 232182140, 615355814, 512790109, 358086730, 198939684, 3370834, 697070601, 801062489, 450465801, 345791588, 586228036, 149897101, 858925081, 1073609172, 138716369, 530066991, 594512769, 745533346, 245943465, 450969137, 438141551, 989219047, 555003541, 846025581, 1001244808, 422854646, 553503655, 573461417, 328340480, 589515575, 404551144, 429376966, 581049843, 891967898, 851478505, 317709908, 581823261, 765748152, 243050502, 583581360, 500576559, 672861341, 937250802, 259153609, 170518828, 946783812, 207186059, 65738198, 984267028, 199984239, 664090531, 486406844, 206742681, 477635456, 756034835, 276597314, 670635808, 899231120, 148876330, 834970128, 878235685, 319297477, 128492771, 95596786, 692097625, 68736563, 709314459, 292718525, 859730138, 488465731, 545830116, 983169376, 1041340909, 946893589, 645235232, 201196257, 153904396, 598699179, 725571141, 738984721, 1037085996, 539241858, 935068533, 620858439, 69740439, 748658615, 973931406, 1024657609, 391473913, 1059384934, 939531698, 938933833, 533940803, 317211487, 1039703705, 54870182, 223526550, 93972372, 516796515, 575151257, 479827025, 973442711, 434811886, 334549424, 522434260, 980133443, 144747695, 549203703, 471713183, 550951761, 968880453, 61203252, 251863805, 322573637, 585013802, 639882545, 477925446, 100270943, 36581224, 744768195, 149645947, 90894709, 196229492, 799777765, 649149387, 961655389, 169841641, 720730645, 162884880, 88902690, 306728669, 421236752, 101347752, 370698970, 11971685, 181113945, 486280727, 532634874, 768949183, 808939341, 147811325, 713612386, 982295475, 19279297, 704149592, 405613344, 291046914, 70471161, 145798818, 313208334, 297484124, 948485488, 452784913, 987800012, 770453602, 371166348, 851010605, 220293691, 1019788243, 2237798, 761519412, 919034324, 609090816, 429479147, 621896388, 742075356, 339848482, 467511222, 839574674, 983015947, 56989546, 976388351, 684936982, 718747002, 870323501, 908870130, 887035928, 73941067, 545083626, 349562376, 1039856772, 533050711, 998498809, 609080207, 197294381, 577259070, 700607494, 679076343, 25922772, 1067326538, 754718360, 865551299, 415652749, 362980744, 780622961, 41360998, 67065845, 216449682, 204162917, 129786114, 586196503, 14393560, 468672867, 92035614, 52086867, 217549302, 638644158, 171451556, 420929362, 161885414, 1036947492, 59572165, 383440351, 54034342, 792834008, 621527783, 726747668, 1024761753, 52628510, 457473573, 193335653, 1026897854, 392726748, 777054747, 281884134, 642925113, 284697019, 328007768, 503850450, 815516781, 457662583, 557772259, 829588735, 1007405420, 1029205420, 633436203, 339284929, 1029644123, 646163232, 55802786, 719547799, 826159349, 585073713, 1070699996, 523712221, 927431835, 792522813, 834930011, 397674249, 901111014, 168260159, 832418577, 215243471, 848032819, 548763306, 343562292, 584369511, 720036163, 56527980, 193533532, 163903958, 228104796, 852645780, 88757388, 807548611, 509381838, 684885487, 78631619, 36174911, 636403529, 729379135, 121952405, 68210742, 948586089, 489474213, 574686484, 793589881, 792550892, 117452371, 920873158, 465613644, 787446056, 407594272, 957169665, 947615662, 773639181, 558090173, 1050044598, 171703492, 33114768, 697247444, 615086577, 486147020, 501604460, 1008154367, 397433398, 522013580, 783572343, 508349459, 1047688730, 158526264, 250280033, 454148024, 912838099, 284116009, 391092276, 183899899, 847323409, 331859809, 761480523, 871886509, 1063736450, 749192198, 364778521, 926821653, 767182076, 624940156, 649374143, 735392989, 466548476, 176092092, 900257665, 766648695, 629924547, 996152968, 675611205, 273689004, 590608546, 189553675, 72837598, 766318731, 315318438, 83034914, 361645114, 817441674, 1002755537, 686389159, 828653904, 774405682, 282895308, 668836636, 512094041, 475462997, 943501331, 906135958, 543032340, 441234923, 649744456, 310146877, 1045877162, 398172189, 1037392287, 486270888, 355898356, 283172973, 599221003, 310579754, 802547133, 124221347, 69021674, 458096481, 789934807, 305690987, 715563514, 684064658, 979963194, 147002006, 145032230, 523356326, 850202973, 286017740, 573305091, 830434287, 806368311, 803685560, 1036372872, 208209667, 736169350, 357877950, 1042686342, 503349579, 6421256, 20329549, 946566321, 16605961, 411178917, 2709824, 248860186, 420496931, 607731305, 316559780, 533700697, 1014137113, 930339408, 253292298, 89649623, 425830707, 563561610, 828810465, 256446910, 461670224, 550620316, 982716734, 859619810, 353454024, 454984272, 1031267143, 400076449, 423825186, 64582504, 839623253, 33459527, 458237560, 853996301, 774096452, 422636784, 644844291, 915005791, 1041070522, 741799770, 21915890, 749736291, 139238294, 272812663, 743208046, 244320160, 570246133, 661469117, 464074503, 663031163, 1057783843, 808366629, 694677930, 853629600, 227228241, 142009595, 344365325, 228027234, 852943031, 847247627, 919170805, 59968302, 60271100, 388181030, 710380057, 476059956, 360850482, 854856680, 83998822, 747857166, 770008994, 245219656, 741112681, 689872192, 15960472, 505745565, 423300751, 919124761, 98331571, 176966683, 759312847, 861861764, 373969677, 580507572, 352999018, 932762438, 664659416, 682735371, 44379994, 92875811, 1022432299, 380248398, 156506204, 78471136, 690056233, 460127594, 437731446, 384429889, 931681359, 665911391, 165881552, 142873255, 928101593, 736034107, 320836109, 713225673, 846688412, 158367087, 142525024, 302716854, 414455234, 715619480, 885943490, 741634984, 351752221, 749686275, 712853120, 61368164, 13094718, 819068186, 627112394, 161907904, 1035396971, 895267815, 166887197, 299330254, 626172340, 492026609, 765076325, 734591716, 212179903, 90392615, 949709368, 239224601, 5842643, 4680546, 364518968, 557395800, 331346589, 720695807, 594339209, 656466194, 100976136, 855835654, 598023397, 2090370, 679398999, 289469290, 57775245, 601450572, 499886384, 1011655229, 555610306, 994320895, 937746183, 760588604, 759646851, 34310890, 736023179, 91902531, 206426511, 1028206763, 913585211, 112977764, 693228652, 143132835, 696629630, 56651564, 976166741, 762522058, 75052089, 1029861019, 518004702, 694637528, 380391775, 798903052, 925050900, 549374368, 293947271, 965371076, 100872220, 886742578, 224173277, 484496486, 236862974, 432584719, 211936847, 774667821, 465870634, 284615939, 172895068, 770189731, 340988017, 252138300, 1017422897, 877918235, 748486054, 36390056, 660605806, 951024725, 431432583, 376575268, 612164650, 988215419, 56186441, 286647143, 33629388, 261047948, 851908875, 310473753, 992804212, 821986608, 65558855, 670064064, 231417832, 815790548, 90735908, 160864649, 645768072, 522217010, 734811924, 505784598, 610969327, 1054543818, 950492830, 47737688, 448757744, 95254495, 277365735, 1010093590, 106682272, 1050726066, 247920794, 586319309, 978924982, 868283000, 256686600, 583585195, 546804391, 878055071, 254464591, 487892155, 90758469, 272751831, 952956440, 536735942, 144057583, 567021769, 773838268, 951104686, 623703353, 517104402, 732385585, 653957134, 963916276, 729795645, 787778057, 80681578, 336064986, 74153600, 1031924096, 520236730, 996138752, 351894079, 92744121, 304872027, 52427653, 570565943, 541383159, 946013852, 869251193, 912481909, 871514879, 883603022, 1027943726, 190194146, 574604245, 376247921, 765602261, 545982633, 85132982, 58558045, 724131834, 225982470, 1035656253, 943647183, 513116635, 184156333, 189201460, 123732392, 137776398, 876130454, 879129222, 1017515368, 23335074, 548202601, 756165101, 999709568, 939304533, 231846079, 151793000, 947672204, 917232010, 405397459, 301443444, 732607070, 457501337, 17844750, 737535139, 150740246, 578112003, 442761221, 1014703352, 161363021, 245611478, 572709784, 183756873, 920316887, 350883204, 236872449, 303064101, 127352638, 627692730, 1063389698, 976632160, 924638122, 395818986, 777023812, 176007005, 712224366, 558609227, 1002803408, 752015617, 286477003, 758580925, 1049200453, 7978943, 807882579, 643498123, 614606209, 577341780, 457990029, 180889857, 329365145, 836410005, 989549321, 320793436, 460086197, 976748625, 772949995, 559118346, 4351615, 866712393, 909357262, 110037753, 269639828, 667337314, 207897031, 590756194, 11838319, 201811393, 1003771027, 184847127, 84149564, 849286640, 325348924, 1001884046, 927455060, 666352083, 92098383, 510526150, 397675450, 225474020, 256102615, 80358934, 907048543, 535814334, 649820484, 765464306, 670951787, 517308521, 362184625, 627533329, 128771444, 814132952, 915185806, 158737480, 845679856, 17793207, 712953893, 713802493, 650784146, 333521906, 269588353, 344966947, 333689104, 610330867, 920415997, 669689905, 1041672026, 941666944, 218541670, 1033341892, 895801161, 981895672, 314765006, 290977318, 858384224, 153632397, 1057791125, 160654313, 646370008, 579761753, 26159015, 839846689, 435604, 98775877, 829565869, 197128639, 773858192, 715906, 987943638, 1003550358, 383980340, 300533680, 224215865, 682058476, 859230580, 109786440, 278112329, 1051314771, 796594806, 877581415, 518106055, 242734967, 588114468, 987014706, 700802084, 1024992294, 118971375, 819190029, 152434745, 263585216, 131190963, 34570603, 631073117, 243210079, 668033678, 762877951, 747387647, 810933195, 478491096, 520253728, 12645071, 329421039, 455437373, 936889084, 621330119, 934017149, 661412562, 909087453, 305315051, 1020276180, 924407350, 651932932, 61862914, 834559911, 69575925, 704309826, 633822213, 898322893, 679262308, 197503319, 644347068, 380967679, 801202330, 844169977, 876988805, 195231628, 190883, 379572644, 601421699, 1060286822, 1040078758, 904315672, 602328201, 842334293, 208939255, 1035115195, 29991975, 435604510, 428109853, 876949338, 951905778, 264280375, 146474668, 636355622, 903194111, 647525951, 634905285, 711300516, 666001889, 81097930, 671509208, 797172324, 764228367, 377702479, 977748015, 424150659, 39092993, 951497999, 662214363, 45206102, 34484626, 802776462, 634959719, 609588202, 614452814, 443049148, 4324933, 449122560, 286267181, 50494014, 967791010, 340656968, 299304533, 723479249, 286848193, 1034586981, 133228452, 465823598, 24946217, 633573050, 705377825, 365703227, 132079788, 943822888, 673842944, 966176661, 928545133, 937194088, 323773822, 438198131, 683476917, 871122105, 147880267, 446411903, 464953699, 124285345, 872740856, 1030864122, 732700854, 43624488, 277410390, 604030696, 709447938, 443188403, 466373329, 525730847, 592320298, 279688713, 615343748, 30067909, 296696619, 897764971, 1030926394, 642203352, 408321756, 542620822, 714034980, 4967062, 122201338, 1024679469, 999136217, 700932788, 1071087328, 1052425385, 205866814, 579703497, 306673610, 370157941, 695087802, 692074337, 842226407, 198745151, 1042634890, 960032073, 439441554, 717876560, 1009256139, 51445319, 532343935, 55018359, 1058299348, 1005126117, 177546447, 868100938, 741886807, 28949003, 654804422, 266627509, 115285613, 168955901, 539450803, 352321142, 522627767, 382763232, 755802142, 790016283, 272346324, 341379928, 231848962, 777243327, 1057488081, 4967237, 599486857, 186338804, 429389136, 945899981, 213827691, 13360577, 950156143, 120213536, 917630301, 984368561, 1051456179, 361015778, 438713812, 732890734, 572443325, 522851587, 184065196, 909029443, 923276526, 512702832, 401344164, 29406985, 941694027, 998456409, 267768273, 910710060, 555549477, 694865686, 819336114, 769096380, 639533158, 803612937, 237605339, 799846166, 473673969, 303956493, 1029911213, 675824932, 357177406, 341888906, 990156519, 794993768, 597765919, 665506063, 505848380, 633555980, 575131841, 135403702, 764370495, 1033317747, 857754676, 999232137, 1017809811, 700158739, 184465168, 188247110, 461045789, 1052696668, 527763909, 277164546, 479777764, 273517738, 133269878, 135997880, 214133984, 356478432, 735307839, 802242980, 1049705189, 211533206, 456385424, 1062298114, 860158453, 646615248, 974258126, 496005129, 990700102, 134699729, 1036721742, 618249898, 712284191, 921287883, 941833899, 698027378, 779035983, 698084302, 995574089, 52734251, 584286419, 866426551, 801945868, 1002680418, 394803221, 9519068, 1059174785, 913012800, 1008432173, 935041708, 90179369, 767561801, 386620032, 964032315, 247210121, 7222696, 684314001, 219451885, 55663015, 877411886, 690058811, 886270508, 63698893, 180771618, 819308612, 908397843, 946424781, 622856145, 218210756, 995955792, 489317268, 879229086, 359086563, 214216485, 448201918, 967131386, 417091207, 911585161, 136587801, 258455906, 844332589, 278947569, 693719748, 268247715, 896110145, 843161251, 532710613, 723558525, 163067467, 123752187, 497434910, 525234275, 278732566, 532148217, 464524138, 863941642, 724599690, 534169004, 393418026, 858671725, 372550904, 978062153, 728180724, 21874685, 254994459, 119149577, 114219844, 797018165, 719390611, 965392163, 1024328553, 99247748, 516228562, 25846654, 908110933, 786611195, 889798508, 595781609, 979108329, 622810719, 215476379, 508520446, 535106071, 44977355, 948399691, 1020100418, 786117918, 574187112, 398913995, 617497669, 333099210, 1043013812, 78611737, 692692591, 49427501, 890355920, 543627797, 417275737, 499045599, 386704768, 364314367, 16617029, 1006663603, 430913264, 647129769, 414410056, 515652429, 439367445, 124584408, 1021811143, 59353847, 39323855, 290394430, 143064709, 321581814, 829959516, 227440284, 700408424, 73581833, 602233454, 534153548, 916731857, 1056368292, 1046140565, 822389185, 393918001, 618575930, 1040885144, 79822123, 20877723, 258678731, 867894070, 889175442, 56695138, 739575190, 671935281, 756457986, 593147999, 232882232, 1070053431, 1000271834, 287050147, 143894270, 22055283, 818465582, 757790863, 238765569, 1015876699, 197280376, 17713347, 203717598, 210627229, 62129341, 518154818, 814409126, 953024340, 592218479, 20441544, 409408337, 681749469, 89010492, 607631326, 378681788, 536131843, 1057109667, 29704439, 353114446, 414861985, 549989336, 607373134, 1037516882, 495648934, 782977745, 701089210, 974746981, 776525152, 947083899, 963044575, 32437392, 1014367097, 426593145, 851393948, 731403914, 183711411, 320435004, 26789535, 40503691, 612160599, 1027463417, 120824392, 1058050948, 190936133, 404507194, 712702332, 353720096, 606028944, 336222701, 913919616, 782843825, 938500310, 216502512, 775572784, 656134848, 681672531, 918129870, 211229670, 471780403, 798896683, 424829695, 173725340, 22540840, 451377825, 988508067, 864909103, 116729184, 438361420, 188285188, 506507295, 1003770047, 857355752, 951064433, 201405387, 507444924, 479199728, 993427700, 711798020, 987181824, 809430926, 1054127096, 245162706, 646318175, 817791796, 222771790, 1069946194, 508837396, 423610751, 977786284, 310157947, 811790221, 900409579, 473109552, 763940764, 124390753, 504682927, 479244677, 167343680, 879826565, 163682900, 460434853, 767862182, 691601936, 98843154, 414913768, 378545693, 532439125, 856039377, 789011875, 496285435, 900618026, 508668160, 280893482, 353668360, 283097293, 138858126, 715216050, 279583310, 436272575, 177625554, 740497029, 666328632, 80182186, 650396355, 152468077, 35285393, 858334045, 691119128, 304884735, 84567559, 286414866, 942695943, 6708313, 365094007, 176200460, 791375102, 45333538, 274691281, 744402685, 1048058153, 334607533, 302564199, 494690531, 669395935, 490104330, 136546491, 456564382, 800263387, 875654214, 233772314, 329463308, 804750837, 792086402, 682518505, 89803491, 1011310541, 67566694, 251260602, 720243429, 326608448, 311983278, 567497329, 610988066, 611133898, 1044924633, 727008369, 670449079, 296519047, 1068373591, 391571380, 534679494, 557885203, 617593146, 48831818, 1068905414, 653840626, 1020580241, 608038729, 867727218, 995431882, 531977082, 537939810, 812003169, 200948834, 422007699, 956014479, 596210604, 770528650, 607292372, 454657278, 202248508, 590444828, 818296580, 778656002, 705298446, 166019721, 657856522, 26553926, 297255749, 853887947, 491800876, 401485962, 137309134, 287978353, 53774909, 911913646, 564786026, 576646106, 1073481305, 576344195, 212873933, 828652435, 552602425, 795838399, 642285824, 879710344, 1055613929, 520322502, 527347526, 47323784, 138442206, 511154241, 686930396, 52754198, 438208314, 454401726, 307188756, 44482204, 282935490, 802734106, 137378870, 526868996, 937137938, 876685039, 214443926, 103212036, 301014222, 351792394, 891101965, 959569373, 893405721, 154734719, 562851817, 704655897, 861173333, 132693100, 695908442, 979004140, 82048676, 924500153, 908208635, 1066807712, 470993194, 178119333, 211939647, 314858512, 636120246, 971221578, 18331549, 1027963793, 1066103317, 604910348, 734584589, 15882341, 1007391046, 514418138, 805056820, 825894521, 869519633, 659672948, 579346415, 296682850, 714314047, 817699138, 439452281, 53621993, 428472051, 404501082, 365532597, 282307389, 198705513, 466982133, 850297292, 107803233, 665759063, 181279689, 574156015, 809368575, 379611402, 627441993, 862769522, 768597298, 1024864211, 521946838, 341117797, 138288625, 78318746, 647786580, 300735059, 618488730, 629000768, 137839539, 167418133, 4879188, 181967630, 126382146, 307980550, 779105046, 94118624, 533217187, 377524001, 860194060, 782081933, 609655332, 705244434, 905604988, 760997084, 151184339, 675294363, 468467097, 910199344, 623372913, 927550934, 1051744190, 111733218, 604904833, 656734353, 97099445, 992762429, 349054932, 1000140923, 804995462, 586475082, 1038300527, 410559253, 162815510, 500315834, 763455327, 698168812, 1009688539, 804332899, 689348731, 718925743, 743577029, 1041535433, 116507402, 167476455, 971120892, 512216858, 755213528, 770360220, 533220680, 752116755, 768589652, 371105044, 909991527, 509398236, 718399042, 831983686, 259627666, 784267330, 765378435, 968757201, 706198600, 6193808, 975308187, 633059481, 173109629, 6595834, 469643723, 431033803, 248552899, 150865808, 182180203, 809399410, 280666412, 710437196, 158275199, 404974733, 874773336, 622864443, 1037011080, 955145410, 257156072, 523055449, 631254243, 612751926, 778101643, 488482050, 727063073, 984678654, 730856744, 407466698, 348875933, 38360514, 633359089, 874442350, 188523266, 346617858, 858924072, 312163887, 576154313, 258815815, 519031934, 571337391, 706619503, 154243971, 661503010, 1022382960, 1012690663, 929590031, 1048114791, 400249819, 905371550, 10099355, 906805739, 388363858, 100361003, 849088672, 158958192, 795266722, 574685625, 364542904, 739285162, 118639790, 209870881, 703602999, 456841241, 926620997, 656802074, 620785839, 38286277, 1037197537, 1004790959, 13302499, 646721868, 633121707, 904916574, 323643011, 812965285, 307715672, 65375083, 370068998, 611075206, 766639595, 68865931, 739173575, 129811174, 1045698517, 838222508, 397031913, 28801467, 252842833, 86863790, 576341380, 528074227, 549708934, 409067004, 509798464, 813282889, 384658977, 28110493, 772997946, 982638075, 814341127, 311326038, 597711226, 940052968, 337057699, 342535395, 497741006, 600312112, 309384784, 714714011, 899716591, 550057524, 364701175, 428836260, 1046146691, 1053586880, 921561494, 1031911284, 928404956, 136791116, 292247611, 454445773, 597234215, 666954961, 397999793, 618250673, 388789225, 233235292, 14190202, 831280836, 401182323, 975484581, 692221831, 425675506, 448003482, 774702136, 587560790, 10417919, 529546745, 121243810, 140278623, 226533003, 102336961, 573494002, 1013496921, 479626432, 998388565, 330827611, 720671264, 972410392, 386669026, 814419287, 610018272, 766421430, 378596760, 618426635, 302695105, 1000477852, 88211931, 1026478792, 793626136, 46624065, 321238539, 877105637, 4276562, 512812833, 934709025, 563648395, 930878510, 16964573, 723841299, 495480745, 886360064, 818635798, 406754800, 861975532, 653026138, 665783706, 541917232, 500595002, 861451976, 390572106, 385744324, 953686323, 610324296, 325502150, 78595301, 58697649, 924870049, 220398552, 871309134, 770569739, 660775809, 913917435, 807784989, 233107647, 420650975, 122137523, 800689841, 241024356, 584660377, 871031399, 1034901212, 218014948, 402380463, 190789765, 732463617, 1042867584, 640278914, 955206107, 989533605, 1008684261, 1024829416, 611732781, 735829699, 883842676, 74659157, 204863141, 728439411, 231542888, 1055232444, 532611356, 1066202044, 645923972, 473628614, 509472861, 790932581, 525561408, 144698624, 645967661, 244834095, 66474047, 423844969, 1001879090, 190480115, 647124791, 812970865, 963427468, 937082383, 553177252, 188879634, 785313540, 1021949682, 983057215, 432684766, 1069745547, 817609230, 148270550, 582661543, 936553360, 840976433, 978196961, 989787724, 913117466, 336356473, 945869374, 513149159, 854605705, 95203546, 220368947, 1054462520, 494772994, 1054840055, 66258168, 578719206, 162680113, 473003673, 202934812, 106593303, 633098234, 284304086, 802344045, 346992051, 992641697, 261964456, 90041140, 990484676, 1073406821, 871392360, 84143586, 509329099, 804391704, 313119722, 392168167, 309905264, 323702732, 79923640, 124657738, 31039744, 347763782, 514342445, 69356255, 169123351, 122115602, 44429991, 510983168, 110781131, 377506877, 639166558, 105115847, 774981173, 451573255, 910706291, 24326173, 886870132, 124383488, 617842486, 263137630, 69110947, 660315828, 296661505, 847308636, 611509977, 579704667, 73258487, 815734548, 729206199, 975309700, 828874945, 985212751, 597092852, 232559426, 397603158, 678214193, 587979575, 874609036, 808752436, 568764139, 983684545, 617742615, 773556178, 61784275, 841475394, 1066195452, 989908033, 242623734, 711029981, 248066720, 570833048, 1059073092, 898948471, 364568692, 612620115, 1037071716, 1037304689, 618945065, 306142048, 31640716, 528688113, 610474777, 197326193, 40149563, 107788362, 751001718, 417241763, 576500773, 702005691, 467506504, 362210195, 576772080, 561473153, 229230219, 640809912, 533186753, 781994095, 430226127, 258298845, 808678563, 356012602, 409428627, 295513184, 994483730, 138447008, 640771883, 730901032, 537773744, 966558143, 628645053, 64476778, 646868407, 361691911, 761464885, 670290302, 760799675, 1000915823, 806047547, 705906366, 414774929, 951685094, 612483287, 852609143, 765956390, 153408174, 760615572, 420694486, 1051606560, 1019774503, 449175440, 1070233667, 254818161, 358489759, 135721706, 219264831, 21951983, 531009187, 445765987, 871938496, 168074687, 94695313, 628012493, 895896018, 238055814, 104388418, 408531221, 624580384, 918206331, 431391730, 731312478, 543405243, 574055457, 434448226, 673527841, 193694973, 968171489, 875213655, 699190871, 276855205, 889999179, 450561916, 873677403, 798753277, 349506198, 1054443028, 687828173, 577907264, 893640475, 308496692, 701303548, 746188659, 867257380, 1012292324, 837580330, 149592335, 686633711, 225120499, 415068562, 762639462, 549182950, 322697251, 983683918, 70023267, 329491555, 256824535, 225097113, 302615262, 260120716, 266044111, 99279436, 395376452, 246009117, 607131644, 662697219, 482709663, 733414173, 678758472, 356341764, 102155434, 900206070, 99503185, 411762279, 629581261, 826722585, 265436016, 661708628, 775542695, 1046313448, 76785094, 466616953, 551767206, 190133605, 151547374, 650195456, 278723810, 110211162, 569529779, 797554410, 754208422, 1052219302, 996505090, 525740268, 943306631, 168793369, 49350744, 529451619, 851874783, 978131113, 267924761, 833713445, 754221856, 634851419, 280205746, 877220954, 320478819, 857443058, 27746342, 765306436, 609045448, 448126963, 75655216, 507151395, 761729181, 188683048, 37496933, 969041038, 969753278, 129466380, 304468642, 875333410, 819809707, 62975892, 946922193, 155539987, 359403211, 180834146, 308554741, 341032999, 998131027, 198327962, 430876701, 692501823, 599737967, 933996619, 994287574, 483461899, 343919729, 833002248, 248152525, 853594863, 1064615661, 596208463, 403737034, 311083514, 418204903, 625249001, 30661291, 1012525947, 828958400, 881946274, 869706896, 294241709, 716513752, 612890708, 360711176, 8179799, 158630775, 665233408, 746460399, 354650882, 236290937, 427227032, 374650414, 832537532, 240433868, 523994772, 229986970, 474246634, 847354375, 608970381, 497272699, 1039747629, 693230371, 17713932, 124700894, 124177613, 787294112, 898910421, 690225901, 230181534, 103469418, 633268348, 1007739217, 268139194, 253970235, 1027394383, 62529393, 502473223, 762010767, 1038218650, 25316926, 509850856, 496046252, 717042559, 885130988, 594402476, 224399916, 834514416, 275533165, 10855473, 387275890, 60471887, 1063814522, 70250983, 889969800, 878761348, 527856525, 1014070351, 539086255, 296382110, 919875883, 766305997, 749031633, 42193674, 14421730, 888850079, 265597138, 303967566, 280863510, 620335392, 433486341, 54201439, 903297595, 648885601, 87058144, 199426062, 1050880567, 838119909, 205383219, 228251277, 443970402, 787525419, 113443337, 567223908, 459621071, 384873382, 164386115, 534014361, 117078092, 800533441, 359856348, 290608081, 360654717, 509235922, 7457664, 297796186, 434565888, 8268268, 308747959, 505946097, 217456280, 918876785, 715266154, 663786540, 337210868, 435771364, 481853987, 530465066, 651832312, 632020859, 332318075, 460717118, 243754329, 993241023, 183092805, 534493750, 146327465, 329682499, 792940105, 608214506, 77283947, 269919412, 793918664, 374539430, 290822910, 963554865, 192753175, 444751350, 855677159, 496239916, 611833159, 198166476, 191327090, 536802842, 940904563, 945573892, 1062404043, 470927702, 485654769, 217569250, 410062783, 1054341159, 400739735, 950893778, 530946284, 456352097, 799672510, 287284201, 426522405, 279755963, 522680167, 881613647, 131698478, 706179316, 321935929, 508692496, 598824494, 1049408876, 75695010, 436226892, 277972216, 673812563, 579041918, 751089835, 425904371, 278524624, 198440250, 985698794, 382510538, 820948138, 997037084, 837721106, 119763430, 256804308, 71250613, 662709021, 936108144, 859386292, 578997184, 136704622, 331011324, 217833790, 779019070, 460036024, 182475788, 509854924, 87645413, 606396373, 445975131, 36796913, 572380639, 304933923, 594701608, 837442421, 850170793, 554619480, 1011907739, 145568504, 849401437, 743167569, 11387031, 83707187, 823207573, 797187353, 170803277, 882010257, 904797975, 675268822, 742655787, 562853077, 1027954056, 1004306476, 978564050, 910998446, 274487797, 736928725, 986313320, 726112405, 793422075, 780710449, 1070349105, 294965396, 11988452, 820859876, 92903818, 953621515, 742788465, 307217383, 344086849, 194369487, 520897822, 876810008, 3437567, 957542189, 301827076, 839980947, 799294265, 748305025, 738513391, 683938027, 388290050, 406406404, 148027871, 353570468, 328124922, 461385615, 109232644, 429259792, 618832463, 746463699, 64952246, 544606505, 122918750, 641633119, 372585205, 668465500, 155911848, 515858475, 206922963, 631761837, 758359164, 944313322, 338383244, 968371063, 257271433, 196967081, 770038975, 134122714, 856057378, 295525101, 756265506, 482436315, 392691106, 482710707, 741510052, 955008837, 518488969, 510346133, 488288712, 645771505, 223427329, 459358984, 161280203, 690205217, 979950683, 888914470, 105008164, 536086659, 899755655, 575326935, 525604443, 28142745, 392410470, 430054436, 473922506, 345588960, 934146959, 768507020, 80113693, 446403933, 26867524, 618869020, 419204973, 494598512, 593786218, 968305875, 403958043, 1036163708, 950653396, 67459176, 817682819, 344479255, 466523369, 925558803, 970219444, 649274942, 788898350, 435173918, 621651491, 382236580, 808361753, 501528830, 749809506, 411597839, 238612417, 49865243, 579324299, 304814850, 282838299, 253176882, 963980960, 259485358, 516580920, 332637715, 1041875532, 126471159, 962154457, 295739092, 676840093, 134577390, 521039421, 881078063, 431059954, 887293340, 158059046, 712161495, 813201652, 820170040, 862964208, 560097734, 591875050, 293730621, 866745174, 859642242, 772083268, 42699980, 643079269, 133332840, 883830918, 717112493, 874558886, 1047162269, 96207029, 706031963, 544849510, 338320737, 239806546, 328844438, 308967294, 524414383, 262928677, 942034456, 1004742427, 453307384, 590823844, 780437880, 742770000, 964497998, 338887144, 65178092, 198915960, 44184250, 423190360, 200106066, 398314862, 185966065, 522993665, 349463783, 935670479, 839462823, 184117720, 834120489, 991962570, 60236004, 202857464, 694533373, 252518824, 472342178, 37595901, 36333351, 204168976, 721818380, 713186211, 598490683, 115620672, 363118571, 325914187, 748699828, 588146860, 621325585, 403707390, 671572862, 58887477, 357056069, 1058641747, 620480908, 455704860, 287070686, 486585871, 841436912, 144547656, 908574865, 798025504, 216653637, 666822520, 189251918, 586637605, 11654029, 60979051, 816187318, 538327045, 403245817, 829340376, 192024834, 1013722511, 995352520, 558902902, 150201478, 37279421, 693161191, 328605352, 1056951757, 609623449, 455500248, 470375728, 641920561, 379948401, 785620609, 321882884, 158403697, 879505453, 535662865, 869230780, 570386519, 502507943, 225300201, 1038315789, 117049524, 723599371, 720811377, 26621807, 283530762, 50636873, 648259847, 725785649, 1060022172, 55596378, 993276659, 201584274, 158089752, 30807634, 441252088, 845810258, 1043627304, 756956635, 589702740, 1040963248, 367248528, 969969467, 146418744, 716857671, 917609052, 83848844, 245385014, 82038659, 856017865, 348282803, 782204069, 943332138, 1002686188, 556536040, 313365180, 153076279, 464494118, 322629523, 925151851, 991937424, 875787586, 163935035, 650086295, 986331305, 177995888, 592983884, 7639635, 954159191, 48742005, 401515649, 858396027, 1004849998, 352748381, 916383634, 626675644, 765775853, 361135634, 22288194, 316610093, 613646825, 300879488, 49495222, 998571228, 221756239, 643344138, 178868848, 159319014, 1012913568, 628256307, 361875259, 183028252, 44310843, 1001451012, 270063572, 423373179, 517956711, 1052460720, 771845165, 156439721, 295327258, 110166312, 82121013, 912886782, 376707961, 705525697, 884352120, 373737314, 412466532, 72436791, 732058072, 451799642, 742872687, 192557495, 988854588, 45990752, 59827955, 541914119, 523033508, 153128871, 249512611, 322041991, 587450070, 952253564, 810190435, 603508561, 767143538, 222807497, 203068443, 281820319, 24614624, 804673290, 137491345, 769614047, 310831555, 91642037, 1039528631, 226882206, 538838710, 932688512, 909610528, 295963328, 293556628, 264939888, 626658416, 782107103, 939811273, 566020823, 182372963, 385705488, 849062712, 313970388, 1064378780, 347521570, 319217600, 996853658, 273330681, 952168282, 421163620, 351029839, 249968552, 276834587, 596573849, 406231487, 350134148, 385574973, 644324583, 182537686, 12890321, 541244319, 581107824, 860931745, 1067867946, 348578087, 257422561, 326968937, 642334250, 35695684, 768911258, 588028550, 274384047, 85571147, 77456853, 518210555, 403946022, 412219722, 996223321, 940393911, 635753354, 943334027, 1066653791, 1007836738, 503424376, 735583791, 265814507, 800650399, 430398090, 773599484, 645556592, 246039794, 582616818, 471745468, 1028496490, 67317884, 836249704, 963519271, 734924953, 844536495, 54977659, 851301822, 812163897, 21143804, 1284055, 922848485, 122878043, 369084908, 377169093, 51984735, 471518319, 940667993, 153298346, 336702014, 295961681, 444487794, 195686797, 770060450, 499606956, 453907174, 377198356, 617741827, 387134336, 838879317, 816858060, 419176788, 707807565, 298278018, 1020684210, 1032899098, 667435129, 964572516, 763896495, 762396220, 79305424, 194373671, 416661852, 537458482, 839195820, 573529154, 1057032965, 398860723, 1045268687, 538766122, 123689598, 113563742, 1064715059, 458629549, 337177269, 875130918, 806800788, 721069160, 773938034, 109364552, 611744801, 25183894, 1016671993, 695172441, 534056982, 398380220, 558023738, 413900700, 173327565, 94776656, 255800594, 100170726, 182183275, 654209659, 424293508, 415385233, 415156967, 286458964, 382972192, 347090479, 241340669, 37945243, 498963339, 869111726, 651212237, 1008554936, 653642517, 690837945, 418094446, 363881185, 598899784, 408714376, 138926611, 382251962, 211780818, 493660978, 313344269, 981276839, 401125598, 918558256, 878790031, 745624603, 445666145, 916158212, 220330145, 539372289, 1022723174, 958880368, 1032148232, 989929166, 932415140, 870140518, 432816598, 166651692, 276516437, 313239100, 990199640, 270356888, 242882606, 290882380, 381225472, 268053071, 821693806, 607969784, 472806377, 738044657, 665525194, 850549127, 1073226239, 885050419, 809884902, 237453434, 781376794, 166675726, 391351181, 253969324, 121039195, 763703304, 442562328, 1026836735, 765406091, 274634266, 52587351, 894353617, 901726458, 62344222, 406125298, 367725994, 614891097, 315055807, 76641691, 964998879, 318251544, 407401085, 314440199, 168254858, 917863934, 735390052, 172089628, 581382218, 192015641, 373505978, 139210462, 793221093, 987147962, 634978881, 242615327, 160277080, 478223199, 899624851, 854309677, 689531257, 587228530, 307890062, 867348025, 277282130, 408485, 638753740, 463919500, 770365746, 1016399694, 292191205, 303479647, 934525473, 926170580, 96805326, 394290649, 765637559, 441752879, 1005911364, 161568521, 104128116, 555629501, 82037812, 171910955, 864689595, 296734627, 1000170711, 301619979, 673344311, 1013355551, 211581151, 800847544, 280133253, 718203788, 560416930, 286165744, 728921609, 794623042, 341049770, 830800084, 640897651, 536055306, 149113962, 226333127, 733828831, 911154777, 203689672, 355354903, 746850876, 742942434, 179744501, 607984602, 793849615, 486280284, 306419651, 142787853, 637628446, 968013853, 167574040, 426622950, 495038880, 843510018, 433892072, 646569701, 65435498, 432681314, 1021007872, 107801209, 710849576, 784107052, 516623928, 168520454, 981592861, 133989933, 958087550, 431068634, 922715233, 760508274, 221590527, 1066052719, 452810640, 850746920, 450575302, 736095729, 306719847, 771325523, 617190901, 554713114, 577463890, 466674899, 494876423, 316189387, 485350771, 651932796, 554225936, 420669859, 739454005, 252063190, 362568984, 62039223, 946757658, 324392653, 836879222, 225432019, 517448264, 848058240, 345514488, 734925441, 109392635, 969473953, 161263597, 549441993, 399255115, 576019441, 62130539, 783266635, 482901915, 772573977, 880918022, 976900038, 767170535, 1021259049, 1002012619, 386752098, 996066728, 747076010, 313051454, 619280475, 370573694, 883763529, 841389609, 161047383, 644036659, 644053740, 125359245, 105192626, 822522525, 87113370, 984366325, 640777113, 454164473, 350455873, 127388575, 282219425, 913236361, 76328580, 1007189891, 15639187, 390184138, 769853591, 866821919, 272272813, 729276898, 30784230, 777963349, 260344360, 929285863, 900386088, 245000438, 41395415, 464631687, 912599727, 563039970, 347548251, 512705085, 105619878, 299591795, 721990819, 529422159, 595027644, 281499364, 34428551, 112886928, 46541888, 914751332, 589091601, 554185788, 423416104, 729428928, 336254545, 994122882, 277460354, 390985915, 1052407885, 348687402, 916736075, 250029140, 411999741, 978098954, 90110699, 149955355, 895760319, 945829523, 610004035, 700560509, 732257324, 865399017, 420957162, 991300067, 990936333, 206082814, 140096011, 313754311, 71997972, 554549611, 336548080, 742292701, 80076399, 1028820614, 864817945, 609399313, 237362710, 490090460, 512993485, 1032015022, 458260692, 1039240760, 900410108, 691096323, 799580552, 480522242, 560884199, 171556252, 1035454155, 876988795, 220866914, 793656887, 207325109, 68643867, 256819688, 292818194, 515240476, 503653659, 772777599, 355236877, 480101414, 317755736, 19355047, 126111428, 904060519, 944922304, 870546064, 47158671, 838897896, 812868154, 439422153, 492791958, 488104244, 492024641, 845180739, 717449952, 233259367, 234333722, 910301007, 218682578, 431938080, 485170576, 874505657, 801858397, 301251697, 341940345, 1072961196, 521696474, 719585224, 609252334, 315324578, 505859817, 626894427, 814555707, 889547939, 890660668, 81030404, 512290742, 836212843, 738859397, 229016154, 981868037, 203600641, 526553036, 730406629, 1050729870, 1026500434, 1001748003, 513225459, 975451163, 129027833, 635168923, 380806248, 902118185, 708828130, 389289274, 291522582, 495049294, 587391541, 492153658, 678547367, 842465543, 479202057, 1049830074, 521470489, 587177760, 947762472, 498891020, 187664315, 111043237, 244031344, 328147194, 427173172, 477145196, 1073314421, 306043001, 577297072, 674315570, 138338148, 572588554, 522345728, 455748738, 793316040, 267026082, 341412136, 930479875, 406067046, 111530178, 15309337, 1015347871, 67266990, 850906158, 758630917, 948559962, 986774666, 799459778, 1004363865, 638260093, 33639646, 848681242, 98304689, 1017954789, 995015724, 926697226, 866199624, 160021600, 458824062, 763903565, 469715987, 921582798, 540506308, 563402485, 126673568, 281603899, 113250587, 284345790, 825173617, 779247235, 472931919, 212599816, 601622251, 241409257, 522887043, 1027823301, 280282838, 513437776, 308943125, 956171668, 311105307, 606831596, 544058027, 1050146898, 45138072, 1045288384, 95461697, 695339898, 954719781, 926945529, 83083790, 328982063, 893271488, 490495080, 221509796, 718464062, 739111815, 95444108, 1055513327, 853079578, 197516398, 50904220, 774320577, 290690663, 539009334, 936170040, 934550237, 921564608, 277806765, 543551782, 436277113, 322323781, 557928633, 549705135, 584731236, 8730895, 773960299, 281217339, 291025791, 877419751, 538460172, 174494545, 81736545, 412710453, 633516350, 240332926, 619797158, 167128194, 954122465, 38802683, 725075566, 87777623, 623696835, 776143058, 726249085, 258322530, 916203701, 134379405, 579384091, 221596740, 27293974, 976984170, 46429364, 911561060, 698115382, 780659807, 1045452608, 555284608, 798632137, 327352875, 530865172, 899405188, 1030808168, 627756608, 958900010, 403070089, 848334964, 152613867, 720400696, 709668209, 754290297, 580297173, 196581731, 660538277, 313920713, 187261942, 759405228, 195637043, 406514610, 847132730, 698997256, 245977113, 629250606, 536147988, 533257609, 806284836, 610902264, 153460591, 996068295, 761448382, 679735516, 43621548, 364729730, 908610298, 594183136, 229921285, 971154353, 456877295, 50027228, 696060545, 172905930, 237918452, 792986818, 358893268, 537620795, 846120512, 318237637, 848450689, 768979489, 429473826, 960800931, 372595323, 950261120, 432638474, 649694985, 972278719, 88754186, 250275563, 83969583, 640590133, 982973292, 205496227, 394885010, 171201311, 524578719, 180110500, 436398768, 648709253, 700974267, 449178638, 1041655919, 583800988, 489905332, 1000379329, 61521584, 571670805, 887440289, 2700932, 1029374127, 404150734, 760970967, 844274199, 477455819, 125837032, 926316072, 891302885, 901652836, 816640733, 410090152, 1070211381, 563797868, 941447138, 489290033, 974281285, 719490614, 384608370, 1006921842, 813313567, 795322977, 83617254, 866378348, 752018789, 42298556, 642497871, 235938273, 586565145, 1016807843, 473174750, 332895782, 320113156, 1058190453, 326259143, 906938518, 524602185, 846323683, 635930670, 697988742, 341597947, 77231805, 745682702, 210924312, 1061877390, 138339493, 583214848, 419575659, 251493641, 380764841, 1052536278, 289539371, 998700853, 403131713, 348995139, 142474933, 122214061, 512702264, 16686564, 710843309, 117027304, 1046753571, 592265148, 150449078, 442661901, 356680591, 21701355, 408019385, 566345983, 816462046, 776229332, 353478270, 991916553, 644260840, 524364961, 553836566, 434750717, 1027823344, 248847013, 261395205, 726122640, 189299890, 863971891, 148297657, 101248980, 291919847, 744331094, 201990968, 398684344, 443117690, 581251493, 610462117, 760515980, 340378706, 320858372, 824211594, 206463534, 847962034, 365797841, 1033670308, 560491659, 450171378, 557716526, 696821612, 357414582, 836912580, 470495426, 976975182, 394276658, 528373467, 909038823, 77863243, 1011414900, 383929824, 59095674, 134208704, 951195189, 672726644, 673206424, 660828962, 165012944, 320072615, 58856596, 737841147, 824462762, 103343769, 789637816, 557395637, 783968362, 291865537, 686659007, 867316547, 482633220, 370459330, 363410259, 1073081246, 141120324, 8008496, 333177059, 1062421263, 294592980, 55309496, 690523675, 121929722, 206309569, 138614612, 781846544, 1040290425, 727493506, 788944382, 392704091, 994650353, 727741617, 788713058, 864447120, 407419322, 78420864, 694274946, 171053078, 948216176, 848412779, 128747646, 936527254, 896715119, 503784820, 98568955, 143538931, 985743572, 57171438, 123699825, 123698919, 907473147, 1031049481, 362805208, 358768329, 99307165, 803513011, 885600340, 768489846, 530377025, 675840423, 714833719, 996987584, 982976191, 318836153, 156610562, 31293448, 108949139, 493601417, 71561383, 493761184, 557131772, 960046442, 538522721, 165645272, 81986214, 290445053, 547187605, 192059602, 864654126, 858613070, 923918887, 507234396, 297357204, 912283169, 96888295, 286587179, 1052928, 987390657, 805082528, 856707045, 77888557, 581845489, 143263292, 422850961, 1001085177, 520793760, 195420856, 292309704, 149125126, 1022784196, 367009950, 944776269, 371586555, 854744077, 21505657, 85773952, 233983394, 71909837, 360811004, 153926884, 139525779, 189709755, 1055403023, 728829114, 264946647, 1030028689, 850694727, 1035992081, 939252093, 680869508, 538487901, 102684421, 104696609, 556377608, 931415490, 873150538, 627300277, 68262956, 835410622, 647809473, 452450658, 634825830, 516309279, 1022752607, 253787656, 735589508, 1054431551, 773977082, 404433091, 145962877, 1008561520, 1023877816, 398687380, 1064847850, 498170227, 347187263, 61515469, 1013632809, 581064119, 1052007257, 1068077394, 196207104, 251550982, 362719363, 912727497, 659741394, 377537045, 1050707998, 724013260, 964986641, 708942374, 821998590, 1036555147, 581508263, 565059937, 257539852, 119246840, 781699549, 355980296, 184851505, 732567733, 38520610, 1003312036, 277860218, 153615422, 874484631, 348936996, 659400154, 85347925, 911030499, 130378575, 521018857, 532112031, 534430911, 735771451, 67308734, 402104543, 959452136, 739107024, 92148479, 390620090, 3229128, 460609195, 1052713702, 343112649, 1001967252, 862003018, 461830298, 1068191061, 917192788, 634047843, 889392567, 807345843, 329790229, 878798616, 931606373, 780432338, 215413984, 341733237, 760810122, 6240676, 258856360, 58285577, 707595585, 899451345, 212733869, 249522230, 612904049, 947410746, 327798274, 580072518, 988648373, 949051718, 42072609, 501170589, 321892748, 914452294, 572164304, 341243717, 241448476, 1045057871, 918021538, 710840666, 861626535, 474118174, 731860028, 984053578, 210989565, 503179647, 984228371, 258845647, 156820006, 389926908, 164188438, 244070512, 992864055, 147046987, 573370502, 1019068562, 974262441, 578379197, 72776730, 560830320, 687755526, 878374566, 306994631, 963962823, 591585853, 1056915682, 570187991, 268954040, 472008272, 931180866, 1023588464, 575591390, 1059892599, 945682938, 915401200, 777746761, 476632720, 711515934, 853383583, 517891444, 1070979586, 317441147, 76355601, 199167724, 601073700, 696893339, 683656396, 879479446, 350958153, 56999412, 92240937, 592773354, 167670248, 487276260, 512289484, 67151096, 639535799, 552843405, 659961334, 1033941141, 85653306, 355835922, 364127730, 115043124, 140850505, 516747316, 915844726, 27847732, 797123886, 949476309, 471260421, 943125698, 891217591, 843586099, 876976272, 157343900, 336050176, 805756942, 975762428, 541123537, 664367498, 381637493, 234851065, 22168529, 730300367, 326190349, 346050917, 247191035, 242463233, 780441414, 253907171, 42631825, 465943235, 872040722, 27328910, 649715427, 458832938, 59898802, 109271253, 899912226, 893761843, 98516272, 858052492, 983231024, 201644176, 559012605, 180326619, 83788962, 348175647, 57143063, 257108217, 430385878, 785680220, 201776160, 506671312, 101900625, 24489043, 586649984, 109204154, 1043426448, 757566496, 876517045, 487125700, 352640113, 601753736, 793420385, 696769196, 871633534, 41234380, 151882252, 401828548, 772211287, 184752749, 487648402, 415682806, 740837595, 678497099, 266614133, 147954683, 779746973, 557816384, 245315923, 934141214, 166432282, 643558077, 821317501, 752477222, 1049665626, 254933244, 871572804, 711726136, 203010408, 607811751, 112252740, 769003124, 569863252, 137229722, 597132062, 94589556, 221242173, 474118555, 621252595, 397333851, 270597382, 672161633, 689160573, 775650653, 370428177, 895178185, 1021376059, 1017497366, 217838673, 827568685, 138731236, 613999314, 885797542, 805031986, 708246188, 730927742, 642292567, 522480345, 697313664, 800884804, 130351210, 715387705, 249048566, 106088597, 828642733, 478591066, 693732615, 866088248, 189148331, 136757735, 1024751349, 442988729, 1053710183, 631210583, 683800710, 889431180, 336638634, 243695, 1004189273, 194505347, 783207148, 233636023, 329065375, 991335541, 506953198, 577398025, 314171883, 506346747, 53762515, 47896914, 1012999800, 494651356, 875380037, 304043169, 540291121, 151406264, 1014827772, 447981875, 914105800, 538957165, 990508425, 410926874, 255827422, 709073857, 1011612921, 389742852, 698483748, 103593144, 1068432325, 628421526, 891883156, 235951652, 425763673, 706521733, 858787422, 430408844, 1018326432, 932805400, 893206608, 546970792, 264640097, 514430075, 606316940, 871688727, 496170075, 576966586, 340470181, 428942996, 612510737, 880027661, 100182, 841335768, 574639859, 653322739, 646379250, 152268876, 872121504, 476712118, 790916492, 425574736, 848580878, 628886113, 875229104, 629925713, 40339480, 413792091, 924355336, 469087597, 315772618, 447512012, 692774097, 113672453, 184932577, 900920625, 282897351, 459847922, 535565568, 471063840, 32844872, 627645781, 875969890, 720432903, 673180975, 446338374, 1038970447, 3552719, 612783131, 1054195937, 444257706, 19444367, 858068767, 267178690, 643371006, 491038873, 293857420, 817568037, 624375568, 979471449, 17904730, 617746406, 635029492, 45611069, 98379293, 745175660, 256932343, 862331001, 747585322, 983911892, 127702048, 882162905, 85309366, 724318157, 876045838, 55933527, 709566263, 809826725, 493299732, 391146931, 958495602, 966714275, 641162237, 448151734, 374179660, 950443593, 330423160, 875441730, 223835314, 135550858, 866381231, 920485818, 626988980, 131211539, 297371292, 53607734, 1060498515, 455196551, 142986829, 414133508, 668520150, 629997040, 95692511, 17910990, 39370376, 373744768, 780518224, 717326893, 365509695, 1021130302, 446739671, 926195390, 553634308, 633867646, 798030814, 9518160, 716094186, 330376869, 31959725, 812817356, 830397094, 105017513, 132232389, 334321255, 141247377, 44922481, 667291681, 642642271, 789516589, 806599324, 235594817, 42949544, 991948226, 645376834, 110119365, 622209228, 229009308, 922471015, 607452881, 950440543, 660610230, 173785509, 623615828, 919715100, 859643229, 922020288, 576550049, 211157786, 569143015, 989157218, 114091065, 266138692, 487372419, 776553451, 842033275, 549900708, 3304857, 1026063733, 843975458, 640405793, 707435166, 452979788, 187148873, 1002178648, 304272831, 641037757, 795083055, 551302165, 554436852, 1015651810, 767695402, 187377853, 173902945, 1032388129, 636547259, 866662237, 816973370, 852345691, 174356974, 369724358, 296832391, 557741917, 132029128, 974097909, 248500932, 461932929, 445192366, 119241676, 680095134, 928910958, 967513382, 768467977, 1020349421, 383473128, 757833323, 568005986, 616120970, 528153919, 176478795, 182096914, 174408743, 790634615, 304923047, 972970607, 951448438, 131277801, 866574303, 337250672, 1053003913, 553543569, 859856519, 438283510, 325345348, 47638543, 323918653, 597489431, 67625967, 636269983, 464119171, 413897624, 725148130, 734416732, 973823217, 740477664, 905157575, 881338482, 4416724, 380950482, 765499271, 483635334, 995211955, 525842198, 252472603, 330870978, 678556840, 506090153, 703870704, 667460535, 81366754, 468158404, 714927162, 886519839, 830691943, 1064503512, 952319240, 282239609, 1072473986, 90705998, 704363577, 433772830, 687233235, 875693069, 694743299, 908032907, 116660703, 26029535, 27083107, 317964799, 527014231, 1048677440, 1006128946, 563072379, 409186842, 733293316, 706543871, 306059905, 547612345, 842056032, 211010190, 220701039, 193647656, 747101209, 349099612, 560024455, 862701273, 584220099, 1063819063, 901092682, 1041011866, 294908262, 558424261, 928446355, 185153046, 978122462, 374530555, 533319116, 581084748, 721368013, 570548560, 972236772, 179368007, 777212217, 236303019, 915788061, 737052485, 33177656, 83519945, 879641009, 899145470, 773682867, 584026731, 138426155, 714558330, 845375790, 105258792, 626252653, 730931359, 774134060, 446105690, 508686410, 91508018, 955536985, 1026710725, 587331648, 99660532, 1060687829, 260748236, 340484556, 782376725, 219395940, 760303762, 985608263, 308612382, 837165720, 572749874, 432243039, 263798572, 743550791, 212854395, 802658761, 628106616, 644849308, 101720835, 577824330, 869763111, 18171774, 1008116480, 57562422, 105294263, 338134804, 160063268, 409555934, 517536332, 816453355, 637234563, 508465682, 1126490, 1049652969, 922023803, 1066683412, 167937063, 599860599, 629007556, 1050415897, 1035096174, 826720160, 385348600, 658094699, 27109136, 954496080, 1068542749, 9645733, 786750612, 245586809, 70010616, 914375513, 235851866, 518611338, 925772838, 750227943, 1021666217, 282623573, 837856989, 883057388, 773715339, 766506724, 768346300, 354782542, 839092118, 882418638, 579106489, 677438591, 879141085, 576880381, 471512247, 671156316, 920953904, 547602677, 181267625, 6490862, 999001528, 170726026, 81393415, 996182528, 964084105, 329834233, 478205182, 558483873, 439780999, 743154139, 963181294, 22163843, 780556681, 113458674, 281467646, 658303777, 384492326, 67942899, 954706229, 167777374, 450116987, 443864305, 201308212, 853922, 767799561, 902640658, 281030867, 192124995, 523141951, 606153577, 803356757, 43477961, 856890128, 9807203, 869847639, 658457486, 738364101, 89070783, 818969757, 1014903118, 449747361, 914640370, 195140964, 221623844, 1027395154, 905567963, 712308065, 687946800, 952323411, 1000539583, 617989638, 862394919, 57278191, 189510420, 477444648, 135916551, 828287595, 285171325, 1046251375, 943347922, 990466815, 876421856, 1040168500, 861480881, 53403136, 939351988, 239419429, 53405242, 981014308, 879856109, 615305725, 786280390, 880744539, 270261899, 124066305, 378719299, 270328430, 38612432, 305051513, 289072487, 997699588, 70267687, 787876899, 364988606, 966739275, 357075101, 213061255, 540291282, 160685002, 728793356, 440241897, 120956014, 85802581, 420272385, 443020818, 839810985, 389788407, 24115562, 515423260, 940776373, 850367732, 310259251, 199568651, 888682373, 250102500, 272878249, 113483609, 1036891146, 1003200415, 714602819, 74301664, 941370081, 667217405, 687461775, 456498163, 681865454, 122516027, 377113176, 101701312, 402194174, 668910487, 124875268, 752460573, 642469853, 405917745, 67699950, 357173083, 142867047, 948947232, 643727883, 260335852, 49679577, 1014438596, 237122804, 854325049, 556896900, 88308553, 983266960, 863928288, 193966563, 240860885, 494301114, 696528664, 665928358, 730671991, 477094183, 436444504, 361117935, 117146594, 652501438, 9505352, 75893078, 1042524787, 116013598, 511559078, 18843953, 448019842, 258101559, 226086141, 966714337, 777696321, 564927485, 643584007, 84489141, 1043977517, 338911861, 302501053, 534329115, 104396911, 534782370, 1029345247, 655720181, 950732889, 490649805, 452118196, 52977997, 284908857, 1068768903, 808663208, 136237970, 1061631900, 711579185, 774324151, 612124713, 885887100, 254490674, 968602585, 721193626, 208262343, 968064597, 839534818, 895955978, 27157655, 557162421, 669094966, 288433636, 865134941, 152274944, 255524069, 814640743, 685029078, 262423889, 365466634, 425856906, 717342593, 530441274, 435121880, 943462074, 717866497, 649642977, 357645544, 489795184, 611180319, 351707650, 1002817688, 992464967, 488029664, 873301787, 643533734, 922145757, 730571066, 849989376, 443212020, 751204461, 794904966, 898569121, 404347089, 607207590, 693079445, 430739563, 664251797, 695396786, 49078196, 295595827, 792938259, 951680083, 835940058, 473339586, 775974713, 52697265, 1070821486, 846880310, 392325690, 609868099, 788538298, 1025952363, 730715779, 11836824, 160231433, 772448588, 519348737, 591906716, 702998120, 44320693, 1014793058, 328554269, 529058204, 514943414, 65673502, 422388786, 727358722, 509961086, 127460740, 46798567, 756198058, 738559358, 412489865, 1057233558, 265250245, 876352441, 528632969, 120583980, 415867061, 395080827, 340836451, 1025806514, 478669458, 152603144, 772771048, 547331399, 581569033, 939169362, 139243546, 825512435, 462124702, 93160332, 850945560, 894291691, 716285687, 913962640, 567781687, 983690616, 178994913, 991905859, 696374527, 240930337, 709507334, 365862090, 1055838209, 546944147, 8671470, 554357064, 929552734, 576077522, 589108516, 151899313, 505539030, 635639998, 588038043, 83282190, 927754744, 409255344, 427372425, 1036544880, 98222457, 592580692, 1072550396, 813056799, 963085060, 506012159, 206707589, 103975080, 353058967, 552528283, 253384326, 1057077821, 520101920, 32356779, 227441856, 991293119, 1030252281, 347584742, 665178250, 695550666, 972365574, 1059937370, 192450245, 435177508, 1022542548, 658928075, 305318714, 717035759, 306664158, 253069783, 7470160, 252317914, 435628925, 429536119, 641446850, 161012551, 66403191, 219973055, 378091579, 406317551, 704154594, 578096310, 482048768, 1042783096, 237485434, 104853781, 147469548, 37070685, 752847913, 960708607, 579719092, 1030039844, 444369916, 987256117, 543548941, 800132530, 647224031, 668874987, 1005943002, 749014381, 918706538, 930616306, 37377957, 361856635, 1037926356, 111447959, 38756578, 476249580, 179633603, 54977729, 1032602165, 785959504, 541277170, 708191245, 650414792, 221655438, 412407081, 33418860, 328595457, 62162255, 2394210, 516271370, 431905182, 161582819, 810064375, 472450593, 766430134, 250729395, 497369268, 183379462, 288891885, 281875021, 588729946, 865039826, 270273086, 970820102, 447778455, 905011331, 25826440, 369546070, 1011121602, 946229366, 108687807, 436727382, 690714284, 978063900, 762330442, 446225876, 847374098, 142281141, 846484560, 55383292, 829100700, 732158886, 291703050, 351487190, 1037075512, 756885845, 274515211, 512775353, 1026257950, 178098471, 86951125, 404702731, 1061392765, 748145992, 923008441, 203549803, 558075918, 694367731, 955273200, 505731850, 138174725, 990095292, 204947366, 188511435, 11890937, 44909486, 959392558, 489459517, 735122944, 1070547703, 237881277, 712794856, 758275122, 180020869, 84039543, 594600028, 784854861, 257718867, 213426040, 852627097, 929241285, 90018272, 712602126, 149261807, 1002036801, 797330845, 731931888, 172888987, 164084211, 461851244, 919076723, 30225124, 723134838, 472863888, 361379736, 28634564, 120883041, 1018299105, 408265875, 343774940, 114671501, 179242472, 706416390, 188456608, 579404858, 222135318, 581868555, 522941741, 389419526, 305031884, 311533880, 734307053, 225066592, 654101624, 836977748, 768198308, 331000306, 465659881, 751095663, 1071321255, 515884146, 363158875, 403994250, 1025247873, 308774558, 961963311, 230634618, 113530398, 175032790, 330124758, 65622916, 820533249, 872626252, 900346729, 772767504, 701640849, 742872648, 869921661, 330423607, 30985147, 1068625242, 687780301, 473609251, 1000945286, 658473900, 425031663, 1015039692, 357387223, 1026679042, 404890861, 72470453, 548883196, 921332374, 294932084, 459892110, 98684483, 728746421, 808471134, 881255777, 210075983, 690794740, 281573498, 852603630, 700544242, 328492549, 674414380, 130942143, 13232445, 683315832, 742490648, 740934666, 970578671, 50713123, 870125108, 728932609, 981398209, 89898831, 201161036, 582083434, 968097927, 346781889, 867674719, 220139984, 812352662, 324982021, 979242083, 171023728, 965347333, 432255017, 302498208, 116888162, 722877075, 722160004, 687453395, 1021831382, 773346845, 965436639, 756633032, 456085501, 757505762, 856741326, 829521073, 632988145, 135404350, 949677690, 350003616, 145000736, 205003157, 905649621, 815191763, 204507178, 686382716, 760932521, 747055433, 309071625, 653127417, 289259420, 356849946, 453122582, 762392800, 549811169, 431646923, 217915463, 391563326, 674156890, 493307070, 639106521, 99923628, 301193332, 441686387, 564385191, 684533512, 42514012, 60776943, 348275216, 1038222068, 552125247, 603423285, 920639137, 505207767, 389888120, 1057115470, 382813033, 768616385, 161230696, 222459515, 1061588368, 211245643, 196068045, 214716201, 524788740, 193309729, 1018690847, 604662919, 181732876, 648659295, 671032680, 762878730, 767408099, 877530334, 1001409203, 209392765, 909267022, 626095561, 227866755, 548968883, 37528839, 432229876, 742085132, 506820165, 838821023, 774709699, 377860442, 231384176, 808128, 911694356, 439912252, 520185194, 440268250, 411463881, 12545577, 677955320, 406091981, 333018727, 262325391, 838878277, 500864014, 50589688, 819204043, 410269397, 379892228, 1030115903, 335045019, 352051806, 149188520, 484402648, 624173633, 980636755, 796480723, 1029139020, 975001168, 382810093, 380175171, 943156876, 590095876, 610927124, 969057845, 749241936, 199296282, 303907878, 789849638, 588665993, 543179585, 881562412, 215173367, 889982159, 777072495, 625462288, 1040109717, 490081163, 393132840, 999899540, 648280553, 470181313, 647334726, 808896266, 291401850, 930908144, 472572692, 43373040, 1009701894, 1036319648, 313445073, 256411464, 371303929, 726915452, 793680512, 352466095, 883172252, 928833666, 663678396, 436919046, 873252426, 613161454, 314386473, 576353072, 62077609, 84299084, 627353458, 277334114, 11908720, 82274586, 746695487, 793369047, 153566426, 947479332, 172780679, 356913663, 1020720214, 606029612, 480257450, 726820840, 635349339, 508723535, 361076935, 93285381, 891627292, 973414354, 102160717, 1064508569, 369448941, 440899524, 164329878, 576573878, 590518820, 615364990, 162495379, 383511459, 791551903, 1044022607, 422475896, 217530852, 387344838, 256802984, 203016521, 752655034, 572764653, 325267462, 727412112, 334673803, 488882441, 153137206, 717707881, 867206484, 83908892, 211783381, 700428938, 888709273, 556771890, 292365568, 814205207, 661330031, 1021368058, 883288209, 16532903, 943317983, 885422017, 210258637, 807723294, 35511134, 38824968, 656101857, 854878537, 1065785816, 232041893, 358862324, 1019341193, 906071838, 593582367, 831309074, 196133583, 1044719655, 343436202, 80110751, 957550185, 520717322, 962846290, 348678182, 662340385, 771935731, 715055426, 1005661990, 960259429, 963359987, 751037315, 395566154, 529552441, 812042622, 947808979, 793704235, 186053505, 885449942, 893236369, 693320483, 495459368, 819569477, 831883108, 621210826, 695021728, 1067016193, 278468085, 961669053, 428380685, 217643985, 104896698, 430504374, 359291234, 50766021, 921885998, 205178452, 204242928, 14009395, 178272567, 119868593, 421411119, 648192174, 902402122, 494619918, 400348158, 875153534, 297813934, 704405531, 208588280, 1050648450, 326748652, 958041057, 375535259, 34938690, 56104103, 5954405, 152964050, 624804151, 524176741, 909446789, 544197795, 561277856, 63037477, 1045802480, 669858844, 975160029, 49114690, 153981787, 454729901, 89468500, 168778305, 135464152, 1002874701, 976431807, 967856087, 291251628, 414393972, 837429450, 351965359, 382393975, 933254763, 296138110, 19265672, 159270004, 487071859, 1022813930, 1051193802, 108690391, 790776665, 290134607, 709718810, 492686581, 611869261, 856394649, 363011751, 663334011, 215173078, 802680935, 564130269, 811253244, 105307724, 207194843, 17688079, 298286978, 386750398, 681707029, 145653281, 575675299, 525840754, 259391026, 164480445, 372786784, 258181828, 865680608, 120112363, 705416228, 110507689, 212832706, 105456996, 887965498, 349021357, 119302379, 928513565, 622238177, 580420761, 701935064, 536991903, 671051126, 80670464, 428015849, 703676297, 1014058148, 532907006, 950104027, 2624226, 24360589, 330118155, 900505559, 889171265, 601553069, 559239055, 632081902, 307255827, 48957135, 267637010, 1863848, 953872790, 725681896, 195347342, 1054241265, 735279394, 1044131882, 369014626, 493064831, 291361021, 574038177, 696848510, 841260871, 548896215, 599425258, 301673877, 504114805, 712997263, 35502841, 366423531, 985399085, 235244888, 353262450, 507994648, 633184256, 705967252, 581732697, 289976006, 1059062141, 948162993, 86520744, 395430943, 1753870, 777839377, 832367474, 752689569, 817453156, 9910982, 858066782, 167007869, 1045350526, 461761877, 197283238, 288551453, 569980645, 950633695, 148345660, 935157468, 949427336, 392864220, 126290351, 677923309, 865782774, 944947481, 684458941, 183215596, 351184830, 115943387, 1022312865, 967345410, 1047031752, 677213465, 4366181, 579467847, 981190672, 218385062, 1054088754, 600697187, 57943852, 769110253, 745959688, 487656177, 6713453, 865164718, 430093473, 868531849, 733606698, 532294983, 331173414, 480274600, 650422412, 297689278, 101639422, 1065209753, 545169071, 524597666, 1013435356, 82375020, 372971165, 1071505660, 240479672, 403509589, 118567679, 367455195, 1059514563, 729241006, 247593286, 359179504, 483768154, 198599189, 867380351, 165669270, 934779648, 408738170, 653555593, 1046725786, 1059065639, 916916216, 111104287, 984965728, 476241051, 770490241, 183764976, 953845900, 632389349, 850994259, 407682331, 256662109, 633166134, 988553724, 373945356, 836918378, 184534535, 741790803, 1000885135, 730243593, 433198279, 261202178, 390747838, 758194067, 848054784, 215214177, 863115723, 962841945, 476351237, 1011204353, 490256747, 820813483, 540718218, 622570569, 213374262, 799458422, 606181187, 256015071, 527995632, 70437295, 353056643, 483150639, 200941893, 11153515, 774848454, 53772264, 544635976, 704090008, 171238084, 787752740, 760272287, 2376793, 488411636, 403552256, 757349173, 403499904, 186916341, 691121865, 853343144, 1036747187, 327443393, 670590158, 337040363, 268583651, 187445999, 972062594, 115483741, 695669156, 979723845, 502953650, 873363102, 970644710, 467407862, 422812421, 436562511, 769556176, 573936191, 155119515, 983175626, 753493106, 818202576, 497720151, 429503021, 866531287, 30144211, 1000672632, 1043195468, 377252753, 894065326, 11805267, 822849976, 329097445, 514234086, 123575513, 769348406, 881512048, 317282814, 528056202, 628768843, 456811323, 495376772, 398227962, 483343035, 821286109, 827177352, 616585079, 755220677, 919349146, 985469079, 470573653, 164097686, 689624416, 65929115, 832034886, 554269666, 932453603, 605880246, 426381515, 231721993, 94466363, 296350031, 782245353, 492679045, 948095368, 924607778, 739789870, 1011561275, 264159316, 381172346, 158092176, 723498166, 412296454, 1000444120, 244158886, 253090938, 694622697, 792792932, 625781167, 906780816, 302909486, 384637713, 771460818, 537930938, 38578683, 1038699678, 397760386, 447876162, 622104059, 530087102, 460868860, 496944466, 669176346, 1122158, 874150994, 361816684, 2684792, 491356367, 126770725, 75932862, 476055504, 890255209, 643399609, 68060543, 535282881, 819868749, 426721524, 849890044, 685883218, 80492680, 560521953, 404239318, 733646468, 788590801, 313732400, 232818392, 694394656, 422360171, 1062194428, 268057910, 154299247, 817732127, 924568366, 556109714, 478864736, 708085787, 941727133, 293537377, 506349144, 220848752, 388812235, 504178172, 1068878765, 721514439, 433896588, 868076715, 553796837, 621630652, 1031979512, 975993671, 19121808, 697885336, 524415921, 469598679, 536355176, 607828685, 1046830475, 1013854168, 1067001676, 268731830, 317651715, 293640785, 214918800, 102323609, 959531289, 278393830, 348300068, 285604568, 158305974, 9711275, 765906592, 647195931, 893148427, 305268728, 89855923, 271800398, 766759453, 125332767, 555355053, 471842026, 832832139, 925478292, 801831386, 175565552, 377755773, 987920352, 960420951, 899752064, 1029637234, 748306372, 140772897, 484372955, 1026815044, 1032640480, 327263102, 803230270, 30025374, 1030156813, 11465996, 697878637, 296059015, 313469425, 1037157213, 353397896, 846213516, 190683940, 150519443, 661709000, 1015808721, 959058461, 132085002, 428470742, 1030282974, 620572739, 562561644, 567804983, 936033254, 70648265, 379457877, 445212412, 130072811, 495473252, 446771585, 910659620, 451701532, 208348490, 23240761, 423682774, 608637463, 644242493, 783968045, 899419553, 9279007, 33811840, 573199261, 595388895, 833705271, 89741105, 604412924, 1022930158, 804428421, 85300434, 428866728, 118512934, 183509411, 648768164, 402934510, 664572541, 574969731, 12812904, 760824524, 26873173, 827772564, 586388830, 1036394265, 879745076, 644388928, 151469423, 229552932, 1062240990, 890631215, 285554656, 171340409, 761784790, 139832169, 433157585, 1056267242, 405456051, 592127424, 186333407, 746527153, 832004161, 1028254743, 906023236, 365491396, 102239866, 438425260, 411997046, 619098509, 829656820, 162005287, 732778687, 861328515, 164970454, 793132511, 141455665, 821886921, 261693156, 733177676, 817412656, 315630069, 856494853, 793027700, 694170400, 546043488, 130476658, 791821156, 612358338, 901948819, 186690161, 261624032, 838384357, 627704093, 490488406, 668825435, 870715235, 122478388, 964187722, 932960841, 576341626, 690956973, 802373600, 276335634, 857429953, 637182711, 597147604, 936317544, 561481558, 905006534, 216950847, 773369687, 913595017, 808869818, 508935589, 568175159, 908963386, 886938744, 534302983, 741895721, 51367094, 700895539, 226948910, 845227638, 248593280, 104501375, 282244865, 749610229, 365078090, 60647631, 556485031, 470137299, 766759489, 905746476, 882413768, 335529669, 217078841, 1055638483, 731608161, 1021988851, 852360642, 44014766, 21809944, 505401854, 367831504, 835092007, 321331822, 971428500, 1026206678, 244315526, 779295898, 670576168, 972892180, 506804069, 17808101, 369912144, 194876957, 139130707, 921002853, 780194528, 363098876, 876261918, 783647632, 257057142, 117654365, 437988422, 905412491, 500299749, 387027100, 73157906, 249088912, 602876564, 720510546, 883130522, 920013553, 565472830, 192548477, 880910940, 598926117, 37330951, 157307696, 32874542, 416049261, 328288114, 311388246, 792937050, 513866535, 413620343, 412339864, 698602858, 783471948, 496879562, 1013611972, 475963287, 120345698, 429464378, 496258818, 816452860, 97201594, 545031180, 274043834, 918338003, 1056630435, 383719524, 1062730864, 874665113, 142281634, 1038135795, 782287882, 1051740324, 857667976, 660392424, 978475804, 800670863, 512521644, 851202374, 359320811, 169450709, 815137886, 376436806, 814153981, 351048398, 85467218, 756450929, 149815788, 504828217, 553237820, 40624730, 837398485, 811551155, 9517563, 351705055, 460743887, 553850640, 557778489, 202014421, 165707499, 331874289, 940361492, 801871111, 943885234, 1000338231, 175950934, 522007696, 981716289, 319954316, 256853947, 879552692, 309913757, 257369177, 847819176, 822658580, 876226652, 597266924, 583713028, 398485087, 493739543, 5406716, 8870938, 554136742, 994562633, 295353884, 771973430, 433173726, 497589628, 541306080, 834701082, 675678100, 633313319, 465463485, 229098926, 892651520, 64195706, 376718288, 779423599, 236526315, 75269974, 488270580, 200550306, 735084842, 892825101, 459352355, 913482830, 924666932, 146918674, 817313468, 539470429, 669045292, 279026266, 454045623, 968530668, 872658160, 747687825, 1060154540, 91053171, 572086461, 578099542, 331829588, 532970639, 425953615, 516172628, 534288243, 887018343, 913061705, 909447917, 323770847, 1023870130, 199013076, 685667598, 1040833912, 24032840, 751688801, 1015668747, 872536581, 114792536, 357189858, 57685560, 289906062, 683026795, 684982807, 934992712, 238176574, 267320397, 849419108, 631987249, 573796706, 439536368, 326928477, 635013264, 884555056, 1043174948, 568524187, 720711311, 558631223, 760097927, 498489692, 134616845, 873885298, 853734273, 85371565, 623013401, 1053948311, 9360194, 734144083, 623924118, 908455730, 54344326, 265509775, 611259201, 786000141, 836123950, 428767967, 823655617, 204866428, 863900784, 933951921, 476170885, 396124435, 699126907, 213341345, 742525966, 608843113, 259736067, 786100836, 1002533410, 364811789, 260785935, 11230918, 931787745, 938383991, 180759456, 526994293, 438935101, 948185061, 112440689, 698731578, 583955408, 408696002, 537251166, 414540601, 573449998, 347473455, 330493234, 945877185, 915019013, 755396553, 338238871, 544476468, 588684650, 915409356, 1038512024, 1047867519, 1016631228, 344396040, 187715515, 1039706234, 298949084, 907286306, 159700728, 100441160, 410644346, 556037229, 824709999, 168814356, 388617877, 400203047, 628623414, 588722753, 313873298, 626947199, 594859467, 400763441, 298488626, 746790462, 491477872, 966000164, 304223990, 633776642, 86224005, 1012817860, 938396745, 1028880592, 15263903, 838731605, 773499303, 644254334, 460370318, 602292942, 24452945, 943554929, 951516539, 158077792, 48256879, 220531562, 665878901, 98125157, 968968852, 1046986876, 473002859, 347687857, 884698945, 325520041, 97238222, 1005968921, 667662016, 951776238, 653106768, 43118811, 192988540, 257119850, 177063350, 915923789, 908251008, 117039118, 816292136, 769176582, 797303663, 438373007, 775307085, 1008618746, 663707568, 203174181, 60293161, 439775023, 1001249182, 398061085, 650368141, 849676010, 510173329, 585562051, 639698857, 17059415, 205777725, 733561061, 306800193, 375511009, 228881401, 737056528, 134786738, 71980937, 888233592, 1054260901, 532959020, 215503859, 1049699561, 1039772427, 594394627, 75385499, 1009016057, 907992515, 81399820, 1002445194, 330895768, 1027205493, 840459681, 639851336, 389620313, 747771592, 440467320, 665636009, 153372378, 817376837, 674347494, 293929119, 863895345, 932377204, 703230512, 639827487, 1064757718, 211822530, 949948614, 761755282, 113959097, 48909233, 56843455, 518522676, 117657900, 481609017, 878699521, 407515437, 980108573, 450564188, 937438578, 374603460, 674333012, 945284239, 883624833, 498838650, 978393502, 721009097, 457778155, 219802090, 778534818, 535479460, 797687443, 825961168, 212275440, 466694770, 950430016, 641882046, 854113395, 938756022, 740974182, 742584546, 778729027, 910389953, 440693659, 339812942, 857673753, 585499001, 580664928, 986639292, 490816289, 447625769, 683575058, 364371772, 286431819, 479976411, 93316241, 793571893, 671394787, 515504982, 202490924, 485805820, 190040127, 591894239, 548352168, 4354112, 307304050, 107051263, 972989741, 660405220, 1054451628, 912967812, 412360940, 567612765, 333273497, 516728005, 596834831, 340580942, 766651602, 813127045, 451477325, 499681206, 536900553, 194166815, 431440104, 135898671, 612467169, 912482473, 716938574, 906996738, 8031620, 386848072, 349071572, 132431369, 333637232, 750101670, 402694387, 413715, 701926991, 85356361, 493789728, 769565325, 221238622, 746823861, 571488962, 676235645, 207694743, 456568291, 166536853, 200116195, 1069493456, 13342798, 297335776, 967342725, 732896176, 263886772, 600734409, 1030659764, 972988553, 819581758, 673294333, 788907386, 866872506, 734118155, 81257463, 314716477, 73126222, 143576060, 709787435, 826579820, 434814544, 251037080, 189654601, 401588632, 732204756, 303172452, 286806779, 1049568994, 773886419, 416817136, 210128857, 278047393, 518885691, 563339456, 872629319, 480444745, 764803439, 1006954395, 810422594, 670209660, 308716342, 890728004, 489743286, 556402354, 667194625, 927247933, 210082129, 245406854, 457661163, 1023420185, 959630798, 911061253, 685913131, 29575906, 381953587, 148328998, 1064371461, 380395921, 1041345282, 907846263, 164817652, 311020694, 888787112, 887946351, 98904403, 946872937, 403794746, 805114147, 253560814, 871828114, 83164163, 217105054, 930787601, 203352252, 1073517139, 411069170, 731505698, 880193776, 821229704, 515881721, 186008372, 875360698, 204903694, 215807602, 378473840, 375713065, 1036378349, 611084216, 75380982, 1052743618, 896944652, 960198983, 970846844, 929817574, 430460751, 691239132, 956655496, 912036193, 991469923, 1024682850, 517457538, 372231042, 411985416, 676232104, 644296680, 91932409, 849264196, 653918732, 969008035, 63556074, 239312165, 297590428, 229567942, 266788388, 937104343, 776421431, 1010003788, 990198469, 825392757, 887192496, 2228783, 1031459825, 142945836, 914344633, 766454422, 660877476, 1048794701, 739648791, 298085304, 391572284, 44834987, 675341594, 464037609, 139185060, 365978543, 342569563, 705099875, 344181571, 455982733, 153055222, 886364551, 1029318771, 499606125, 160965255, 626584658, 143713408, 100613940, 995721578, 525110035, 508886104, 835935888, 654478110, 908694785, 962397640, 815770761, 316008629, 82058597, 683550284, 1005133947, 605078111, 592178357, 686202416, 364393912, 917977283, 703583742, 668906881, 14335513, 902316321, 341357730, 819512181, 976337540, 144228205, 837486917, 1071297102, 125992800, 57891650, 817502094, 483596832, 306548008, 629056052, 548069689, 578064911, 514858615, 153000058, 42980816, 346162168, 269110019, 206824197, 656774278, 636452243, 364600458, 355405045, 1023704294, 917708185, 422425411, 790437988, 718803946, 596762728, 851155696, 538075955, 626241079, 127161255, 121644187, 887162836, 980073559, 769760050, 755093216, 889821771, 383600480, 558493852, 433096453, 418305917, 289815676, 942655400, 563268328, 6454416, 426153288, 218181784, 94223643, 498680479, 590379587, 1031506754, 707519124, 1061382012, 605647021, 712890172, 875105848, 486989441, 227386647, 443608519, 401950473, 755026970, 695954066, 5353572, 248304115, 667253600, 174742630, 27650374, 583596295, 65230142, 359250890, 716751411, 567290577, 7969359, 1025506046, 844356617, 884250167, 297806294, 584924154, 320045263, 1045585065, 504681221, 218526057, 960982321, 985198931, 812879402, 972148667, 219813815, 102150668, 26611026, 295393836, 87163267, 394319093, 960668740, 948945709, 568485587, 348799146, 819125505, 833774221, 127196717, 408120071, 194945394, 591825511, 154691549, 889932071, 599654332, 1045425848, 604425151, 587745613, 792648471, 335079941, 199668469, 969343344, 987302410, 674138347, 386563078, 192175755, 895165873, 610536429, 836121172, 568096920, 172278729, 164887764, 432454769, 296476258, 348021181, 553762225, 349827745, 753782025, 375270593, 943776730, 996835100, 346280139, 369459009, 563219871, 889473475, 863982767, 576468432, 1055326906, 501099891, 81232277, 40878670, 999284966, 951502013, 1005417870, 275826671, 215177079, 134614713, 754616913, 876301864, 968916288, 382429012, 894756735, 473150359, 595299367, 957244776, 162118378, 420098481, 1057232570, 707067566, 537052390, 246028259, 53090333, 314334685, 211686699, 56232367, 78718033, 956324331, 442800191, 745519855, 306597775, 357543883, 304872629, 573879565, 114639234, 410879038, 471710181, 938014516, 686931459, 1066889668, 528500609, 1057582728, 366070245, 1000019534, 778525037, 512179233, 561195580, 295491528, 1053101517, 316988314, 148254704, 892803032, 604192150, 18351853, 1027213811, 468341632, 1002477654, 610813607, 300507927, 43131883, 479480208, 411613554, 20688150, 809642151, 11533334, 544095417, 707952834, 1033264963, 604440341, 794694631, 994150129, 573914342, 72705386, 243752145, 1031214772, 977762297, 140182450, 71536758, 669205965, 698672175, 924684691, 879430196, 286220264, 727492101, 60398946, 675323699, 915586410, 865977002, 1033071935, 994441136, 838097776, 268235241, 1033350738, 260577009, 941622918, 754198702, 1012071090, 516092820, 487979388, 822115963, 486292066, 290931461, 984488831, 1004051900, 757596316, 736975131, 326056407, 297102290, 845585795, 724651333, 828956677, 18607743, 13892320, 26788835, 253600737, 977595192, 22982472, 344938048, 810342872, 87570401, 298811595, 852468105, 300943034, 843651106, 834567333, 88883031, 362429486, 98197474, 924458277, 221022277, 261798432, 159545329, 193030018, 181919410, 349343137, 321795307, 936064013, 268805742, 783294648, 974892552, 282515290, 887401970, 1046232819, 351180760, 211451797, 497810861, 486938138, 722791599, 1050671769, 360603521, 752748242, 89494148, 534746964, 781312939, 104301214, 169544249, 1062905105, 450505358, 985472062, 193813005, 90450420, 69777603, 350510954, 258182631, 141630928, 195616281, 440064753, 775354958, 661164510, 690947851, 238343118, 339797921, 851609440, 490279403, 1000631906, 228202040, 1051334473, 648630, 71000351, 259624005, 108544275, 273117673, 329436609, 690366617, 988332361, 70904029, 305647317, 240479136, 151603388, 979030504, 295901908, 966425372, 907230510, 363055228, 871802298, 287069410, 685085518, 630292562, 123698178, 163552467, 385980753, 783049053, 278912560, 376314539, 403474942, 890114418, 985773800, 95751582, 47080502, 491921337, 281257151, 712211500, 194138000, 446610560, 466806950, 398280745, 528890936, 529963202, 108564100, 977755117, 14896639, 227871198, 426826989, 28315943, 647718989, 26664769, 229812168, 308508678, 752697044, 688885593, 785867967, 554309682, 107590168, 792917753, 248691301, 1029172738, 598394893, 372295489, 771692430, 648410153, 417723745, 248368838, 428078177, 385806930, 847543719, 35224977, 170093796, 27379880, 584333073, 173487705, 226083344, 952970062, 463721216, 572904954, 472373497, 433866418, 843352822, 744333040, 542009647, 439550940, 1072139850, 446561096, 970105235, 382205200, 115329732, 474533820, 196979601, 628799104, 610237590, 835039823, 1011149133, 240231604, 309330244, 1061723528, 619770094, 417773607, 176748241, 101688240, 999565893, 105632351, 502353748, 982604666, 546344089, 1035483805, 695178636, 1032132003, 161646221, 347855467, 371797791, 251792476, 935586413, 396916098, 1043871338, 500315013, 765157538, 172741616, 319303360, 704620244, 902675741, 38205273, 63221695, 435507038, 667085677, 412338217, 439352210, 720198383, 215927236, 973589701, 484040540, 1055973420, 220558482, 899965129, 757003456, 947373790, 582594756, 280273299, 867098148, 354091277, 192384658, 745294911, 265518658, 659575230, 593822149, 74667871, 275644845, 78371345, 916829880, 812233516, 504890824, 344159959, 569181521, 739433661, 87870503, 170008562, 747862479, 347319873, 222071152, 696065950, 978950805, 411321895, 505112840, 21680349, 1017467259, 601007089, 891583351, 568786339, 984911768, 223876059, 104710056, 814247722, 84749604, 197411580, 173730253, 217914557, 820987727, 998992439, 49128329, 120725696, 668971077, 82591037, 968034589, 575388177, 1001657349, 591472282, 514223283, 696360132, 641162809, 384499887, 149181924, 985690391, 712946849, 189006992, 898611696, 418304354, 708379904, 455734982, 42649802, 779595922, 822865315, 229025662, 105581809, 399815516, 520727227, 113043350, 418692469, 58796534, 622387168, 306594553, 658387763, 257418169, 355321988, 1652626, 375453869, 476396903, 1014110834, 311592084, 55896101, 500770243, 12810413, 55235543, 756074881, 1001363546, 903147039, 503539529, 311845632, 240655068, 726846012, 768267042, 217253265, 1005929073, 131710409, 979294346, 1008647991, 311596400, 41772217, 666331051, 247913827, 928023939, 231022273, 429899212, 763141674, 138128842, 1071250217, 362203645, 319832036, 108445087, 114152613, 618545185, 104570081, 641575773, 143147925, 148942123, 34396882, 77628294, 998727102, 905088765, 78536600, 256772809, 418342445, 511092481, 314157632, 22289777, 666910906, 417877017, 277254976, 868732277, 349806513, 964199506, 483154043, 969852613, 639585585, 615236220, 454440992, 402820906, 676345669, 907683773, 604958577, 921757518, 897721161, 47297545, 395256657, 14914176, 993962185, 448567602, 269465023, 191205823, 1061969394, 225867676, 917419145, 661725910, 966605477, 502907706, 889526975, 608358761, 1062249845, 121441245, 320530898, 227840783, 831124057, 953204588, 154033484, 604028574, 411486175, 175766724, 916695969, 740860673, 770407926, 105891113, 991586081, 483864712, 708792144, 699368877, 546439859, 791258340, 490246833, 897932984, 962506116, 417825037, 41069042, 221654767, 830888539, 640247969, 536314289, 1056715100, 898398249, 474986504, 305423657, 496719615, 549239164, 1036052958, 325542953, 285770970, 283385879, 915989241, 570831815, 354464748, 944037967, 32043602, 126423048, 998884390, 980552696, 614457239, 201417645, 919897204, 808075293, 258058265, 788522505, 93713620, 904856443, 833659412, 133927044, 1029012088, 938894038, 507348269, 620508776, 116698452, 404999121, 768728301, 71012950, 731679865, 13815878, 496778497, 186339861, 73016795, 210965103, 995279867, 972557562, 678527158, 267025783, 694884611, 985330899, 800243576, 760163013, 88166327, 55116413, 452235591, 788636278, 943294091, 842030854, 297611868, 1001466442, 8493776, 1048078437, 375022460, 592008039, 100811268, 360853224, 554890017, 424890540, 756422559, 105362686, 655535919, 787686554, 490129843, 735720904, 211063508, 240663517, 893989869, 499533857, 652231944, 1054736497, 952262827, 6473619, 520520086, 1023156121, 749386505, 356533569, 540488653, 1060649209, 803287923, 1021124539, 15018809, 1028920864, 268596750, 1055240825, 642224093, 413175066, 11535195, 115206348, 901505004, 569630530, 282265929, 161581492, 172483906, 302841944, 386065125, 21367076, 881019, 1016645456, 1062452627, 574730623, 395374065, 455667547, 34772047, 475830274, 549664187, 540935549, 665422618, 604972596, 862650302, 82871516, 837870529, 805606588, 897254335, 51923620, 496084091, 380988172, 611866683, 182115198, 796796043, 156687596, 220338270, 233428147, 735956255, 748399032, 884249670, 142457314, 940863133, 689599182, 263438924, 566547918, 828361856, 296842056, 637063485, 472090027, 287919856, 429037392, 695446288, 424331869, 424001914, 861790091, 145478034, 13815200, 18666978, 619152807, 900494684, 259504932, 509236970, 870065004, 400936573, 894406674, 544515774, 135211696, 884205143, 239973148, 576734952, 195057186, 901520914, 829438641, 191163319, 423167717, 889798124, 921361179, 908816901, 878827937, 951514114, 397803964, 985217575, 740347000, 175830761, 550794987, 5108145, 52127604, 172306900, 340649480, 209634583, 594049274, 888127926, 114229193, 492530493, 56972469, 611638843, 885401642, 617135735, 571502243, 739497944, 455316037, 630459056, 191608715, 1073613492, 614561348, 470904113, 264578063, 982209, 100703191, 921579315, 415594118, 347676609, 886767590, 524659585, 507979432, 287472333, 360991377, 313967492, 407753836, 986995576, 279335752, 637534073, 739302306, 668406903, 33555951, 520074007, 880447360, 882574143, 411401620, 468535523, 177030165, 111011669, 319036722, 448071182, 731011976, 1014629420, 596299031, 564675356, 545030288, 182973677, 612890011, 837472400, 807826284, 914942265, 982335849, 920654521, 13564154, 1030638889, 938706042, 726824674, 889908233, 386821880, 805910525, 567745314, 320834939, 583695923, 699648326, 421223770, 904559998, 310283147, 664016216, 1001232506, 293145938, 306876512, 672250192, 770530473, 256322371, 425955700, 1000123088, 831859611, 572186679, 116216226, 650099785, 1038267369, 828300580, 784798458, 110611425, 624425558, 619641827, 637540776, 967898034, 502825937, 989986751, 959610789, 722960590, 158173158, 730750871, 340958440, 204937412, 514822531, 297853638, 249008132, 206554730, 542864418, 57894722, 973129859, 1061982826, 304729834, 509615248, 481969479, 484997170, 351757513, 227280069, 229517156, 303287302, 78206782, 424395033, 155976014, 321105065, 883199711, 813880406, 143430086, 155132114, 229069692, 860594855, 37530748, 187202804, 791388650, 1012571330, 737718603, 495144483, 687121951, 485804372, 135399108, 830245496, 90347218, 740342339, 700123065, 792498276, 814543861, 625047990, 767507200, 760833284, 970478092, 71626099, 562685234, 557052768, 1069825871, 641227940, 412242692, 1019507308, 821566502, 506460978, 650079030, 950037672, 791995683, 615395858, 940878239, 964319149, 1041339650, 730894013, 663263353, 439466988, 26833176, 489466092, 938118728, 76046426, 11331226, 230692371, 825379267, 371619246, 210957339, 421164374, 340807523, 815328874, 104888237, 754371280, 427176831, 418995251, 220740671, 37158258, 940980431, 825208877, 602012195, 737793432, 147424128, 815661679, 950212469, 578575013, 293374524, 357813406, 233722123, 88678283, 386759353, 825928064, 787308473, 1041954020, 61808197, 1061595398, 1034040964, 799851765, 721164109, 6250271, 353939827, 471831976, 366367630, 866530819, 417157907, 373304307, 362303491, 1012992686, 351430986, 111184061, 366238857, 107364711, 984092264, 960043947, 305907486, 588056107, 734430560, 708421395, 477639536, 402949983, 17107510, 562712307, 362039365, 699000343, 469894232, 457287131, 892625864, 865511654, 573065856, 126556408, 111164250, 962231273, 946131150, 665921760, 858258077, 994165568, 701923884, 335415763, 229125974, 1037880891, 440358934, 530861649, 574206588, 1018612606, 519555843, 92787441, 860177510, 892431387, 498007265, 569579543, 198532327, 35406816, 586250246, 68004479, 811498061, 701682207, 954425236, 204796075, 79564811, 950285266, 529424605, 163265445, 132510180, 527637934, 1059674323, 234801148, 131759664, 947052884, 576133189, 321927087, 573732365, 238858955, 1000649723, 356591005, 728471745, 697498585, 1053873791, 430626412, 471411500, 930566571, 349196658, 1007987460, 283014775, 711917280, 460446095, 802772396, 655388790, 924447922, 868083229, 268816373, 559582454, 887376075, 1023709732, 462463998, 705157492, 283429775, 777332466, 267217475, 1038895292, 351785380, 939158284, 491533320, 630667169, 919312851, 917183389, 737634330, 695213918, 890571465, 1071539683, 506939653, 251416665, 118815854, 861126396, 11445058, 866218123, 25719497, 214727785, 517914726, 187397387, 377956780, 620718628, 341771692, 1043948813, 563715769, 888127723, 205419139, 541136012, 680498104, 689394362, 478001562, 324437861, 318480137, 283304055, 76137286, 517564086, 273896901, 243786206, 865679713, 796137350, 217152582, 529487638, 585553675, 35993990, 1015568297, 994416425, 545187542, 960126838, 103760286, 834169524, 684851526, 200888436, 822848093, 57489595, 718435450, 215033569, 989668056, 308114179, 964374081, 342244191, 752763674, 10590134, 397534207, 490569497, 632413841, 484583348, 87703301, 1057406133, 469866892, 750108388, 810620630, 740934700, 883001300, 1047504885, 524856487, 357159026, 838669575, 818473098, 888664136, 746916031, 430107037, 227236702, 124307597, 201956069, 890895927, 806099468, 506076803, 440788624, 183025916, 924712800, 283720926, 742535386, 597791955, 134575950, 68052262, 374779405, 177281884, 696428230, 616260233, 369960413, 276446799, 951074587, 830629544, 635035476, 451223422, 870858162, 964651141, 361862380, 696584803, 13549308, 121370842, 715491817, 814536215, 1044765222, 191408506, 885413230, 127169804, 940757831, 207935247, 910602932, 15508102, 10150450, 791905421, 506227845, 674775806, 189204873, 787269387, 700558879, 999792864, 547888304, 620723223, 701685603, 904653311, 431769024, 1017674319, 22112134, 1022141224, 104837284, 15049413, 617787443, 1023996987, 92738164, 58231067, 322925651, 52956419, 1011982190, 726669343, 462246244, 1065405204, 683955664, 292261227, 985028627, 567651243, 55537732, 801961531, 619426744, 520516874, 533279255, 567003406, 1042611085, 903789948, 285229101, 310053119, 868946632, 129926844, 957975813, 109233817, 10659872, 541331375, 811752790, 708800334, 1019039816, 38034690, 414330548, 937583537, 22733317, 370966191, 849316873, 595527852, 746187899, 188619873, 735690510, 586490557, 631765063, 700764485, 905629024, 251672944, 737592828, 351589751, 299712008, 844950460, 334235947, 844809869, 330973950, 850556939, 523104885, 251552212, 153890834, 61313233, 862456674, 722329495, 130056055, 947807861, 509400077, 885697428, 383849715, 816277416, 911612773, 55766664, 423394758, 81681489, 67614646, 702721307, 798650139, 355750454, 418715827, 369411901, 924345213, 41365236, 814354478, 1007780811, 746024764, 644080993, 967160721, 922799745, 518717618, 1027288844, 182798875, 90617537, 990996812, 349071077, 658849761, 934509544, 712473422, 408234468, 366186877, 517864995, 216950903, 937508640, 261970173, 545800583, 921549321, 616200289, 1039849117, 747007420, 493438467, 874520046, 633926451, 1027064223, 210577072, 473013430, 246301339, 376755249, 269542982, 403475017, 920465370, 624694658, 272285150, 295803229, 635943802, 465805811, 877309898, 915330548, 644427429, 506156334, 249558216, 230957553, 1058961269, 942167646, 629659413, 1067302790, 480797845, 218152562, 203998196, 859271945, 928032072, 793472531, 899172241, 467393427, 271598124, 117473077, 530166162, 701239716, 1062667773, 214205463, 831106531, 812050853, 300057695, 385527002, 344100571, 63434934, 84699430, 752363581, 847773124, 435359142, 832736783, 488517768, 23316505, 160092165, 464438084, 697330451, 315038896, 908490526, 985886817, 1043083376, 835844824, 1039121143, 800074556, 163276209, 940879779, 828189807, 183999008, 268257888, 365964232, 232302615, 1051977665, 256511535, 802255596, 864622328, 755141667, 206859890, 506539185, 168378268, 1015779604, 659393145, 393678448, 238481059, 880435153, 411099326, 714777874, 718065787, 36041953, 725900335, 8876698, 885641999, 192510012, 407694664, 854638366, 891387057, 817868695, 395252838, 990683936, 314087857, 256061761, 486699379, 408762425, 750526130, 474638871, 143438282, 893903206, 64428994, 794055137, 418554240, 535291000, 834188635, 560594383, 43263676, 297201311, 924048490, 379177651, 1068949868, 906991353, 418345175, 633775060, 205386128, 1073497268, 379315988, 301879046, 116616979, 47892768, 368449591, 142566565, 660045572, 986393957, 466735247, 273618113, 414711061, 728271164, 670636904, 791431100, 28857317, 140958335, 949323951, 808126261, 648033095, 804165722, 850650263, 764658186, 579118290, 411035505, 646293750, 20354050, 373799209, 260689422, 1060121441, 907483710, 856587406, 861286878, 12951182, 670895551, 545564975, 866526012, 779894411, 861689672, 525410357, 899424225, 140741218, 300330533, 311429120, 89453091, 703331904, 356356176, 321619747, 732049359, 186699872, 679210249, 199329722, 382877066, 265713286, 769991531, 888669951, 676360667, 207878696, 1069185481, 284035530, 674877089, 133903978, 91357547, 572170105, 124449828, 725463733, 760122602, 559234766, 135348687, 198939797, 517360532, 578723656, 354411050, 681384863, 753055190, 203617886, 1016877646, 523737695, 1025273507, 172542748, 953159299, 233178282, 299337893, 41849801, 896501683, 777400523, 612993106, 608993155, 826469789, 707523697, 420384103, 612157841, 55437952, 216165384, 203652027, 513352660, 25112811, 268464852, 361996268, 507926537, 978839464, 385638969, 963157560, 540251832, 592442859, 647935014, 309782729, 502710240, 28208218, 618516000, 275103590, 1042703431, 9103692, 341624243, 292656247, 713456061, 777314551, 334571399, 681137642, 683963139, 542001580, 190362909, 896654910, 486448248, 617609526, 340606847, 445504645, 451364951, 154384933, 338885512, 606839308, 320292799, 21772576, 642372878, 1020342112, 686846589, 66159547, 351118536, 1004960038, 1020570906, 387993027, 361236901, 250875713, 167624953, 55732047, 780650768, 554567317, 192308852, 735935116, 693064820, 334928483, 567710884, 387796412, 1019655115, 495620684, 865366130, 800322164, 951359127, 706766232, 440837025, 669335984, 256452248, 874292018, 707457028, 108676971, 646298247, 927909618, 403363265, 936365828, 231426638, 223348529, 66909719, 90156806, 331392404, 36786810, 103905345, 720710548, 188129198, 225389871, 61917897, 132872115, 894388577, 710919721, 393972698, 818143539, 732270871, 949825838, 579232842, 753090429, 291345633, 1007953777, 5709951, 903518892, 994558759, 1001575711, 352802682, 273654734, 748582817, 1053006850, 815499868, 778985510, 936652861, 47491510, 330624128, 1056827809, 602348998, 714597304, 77099167, 773241473, 401745886, 112157599, 572293466, 633206151, 31419833, 677255520, 771241204, 662725470, 128663830, 374600160, 185161507, 553491857, 222556283, 899206799, 646027792, 264426255, 368144059, 448872288, 279693125, 210442854, 226748568, 149381317, 692471685, 662194140, 954484128, 738693222, 506628046, 876166116, 934984872, 86116071, 344832109, 553524128, 546877665, 899148597, 567324944, 162476253, 547733460, 947011805, 737211421, 825896120, 31614381, 507895404, 478609169, 892563881, 772265566, 601792581, 264284778, 594435783, 1066453775, 305585997, 316681476, 752606850, 925189696, 671738177, 677430298, 8208493, 52851798, 923734391, 375899545, 1037927594, 463407185, 216731138, 1011247345, 348948859, 514295483, 653946067, 538599866, 268793276, 161397817, 6943419, 102053041, 794216207, 803735613, 960674789, 485667697, 485967941, 553025349, 687482590, 645924079, 458573177, 1052402864, 654324127, 755787922, 804523608, 589413428, 414729787, 46650619, 489855360, 846855239, 424028150, 244472163, 396561725, 9625671, 308772741, 273040826, 462429259, 450001864, 61258897, 650647431, 35675679, 972006169, 408118695, 153968794, 756836270, 727103946, 213678, 1028922373, 222603393, 853877021, 260954560, 891116633, 52930667, 988089218, 1040789601, 1066550310, 608702148, 910392761, 258807006, 444238182, 167402927, 898041827, 436244078, 612777065, 396483948, 303994934, 402841125, 333312444, 320193697, 465221093, 173853270, 1027374869, 1052900719, 243708350, 604105165, 744932880, 1071893489, 394841385, 951521159, 651515100, 61199904, 919347822, 1011791414, 993903036, 229516519, 450326539, 832983136, 254546934, 236760198, 814448093, 818281684, 435894343, 22869513, 325751946, 766760795, 799420507, 721888589, 116605321, 486415762, 470732579, 110366196, 686985417, 804647777, 538663095, 611128344, 996802933, 391446162, 103026336, 317835186, 721152806, 588905727, 517554195, 321440806, 195953036, 855234082, 387214444, 41859705, 178867686, 872962745, 705989326, 59948098, 560374669, 688525182, 138000367, 120593388, 547201132, 743264126, 946276814, 763891234, 337705351, 395287381, 275142420, 321906885, 565719395, 474568921, 325770095, 871617103, 903473208, 170766386, 709705731, 243623539, 752997112, 188091343, 501090082, 779128727, 957352927, 451899570, 825699819, 367795754, 492845419, 628042729, 216994801, 757425661, 967164233, 686802083, 149062781, 426854134, 877215458, 995602530, 769071868, 619252273, 1047885019, 866980168, 436845648, 791917984, 28704382, 708190983, 433109087, 956360528, 786920059, 349507537, 520474787, 929159709, 730401554, 609960558, 856759664, 235657527, 340175187, 444104461, 444614, 89298113, 612937803, 189877777, 519045901, 717675791, 617340676, 634116982, 137878622, 709486230, 670782513, 422696042, 399025027, 196432204, 36116312, 348470827, 284483106, 509083315, 172112828, 509633208, 909198744, 370184618, 1046775232, 310703894, 35320277, 79052905, 659450328, 845930685, 130461835, 196973293, 544299659, 495387465, 396961338, 58855955, 671719533, 738696991, 557651526, 526246005, 996356115, 482629300, 1026035502, 445146881, 766683008, 88181820, 307593294, 239085755, 680307744, 597478911, 37088470, 889796772, 966421245, 217817128, 521439771, 798193748, 596447307, 581011786, 551869164, 1011541291, 985557156, 1034552016, 31608244, 633864155, 55704326, 256859810, 975948655, 847765864, 63692315, 649048970, 868317548, 109589949, 873178146, 109856681, 133716444, 239303898, 448803078, 685156047, 471421825, 563502263, 323472150, 124679628, 450138218, 89322997, 22123007, 822636979, 1020084943, 5316146, 866673092, 49908564, 118531654, 879092602, 107671835, 355187121, 979204616, 498402768, 617070327, 33805994, 912006760, 595017109, 736157184, 1050703817, 181308684, 775646566, 820074646, 446020620, 554552894, 378692512, 465590752, 651328273, 153860035, 346993588, 34411540, 174418245, 83976363, 743105165, 509812083, 568781845, 887789581, 345907987, 732796105, 440597132, 79332491, 847566069, 272616085, 1069446518, 548372583, 311797878, 126195454, 43820696, 965916979, 550281845, 243328448, 661992745, 320753605, 923843049, 51496009, 748724533, 366979317, 335634703, 631768942, 632409724, 1060629191, 435959019, 216251240, 372402256, 754776065, 656908608, 691339104, 345627768, 751258064, 839090870, 978581060, 579864366, 478041875, 838881299, 391350294, 300322753, 253333744, 366921761, 186941075, 796655481, 244575344, 84239359, 143197624, 203302131, 720253976, 258494684, 139670354, 380096261, 18859686, 710217360, 12582830, 532917752, 507044909, 288243130, 834892109, 698843575, 18077285, 185851737, 132819523, 243536720, 444557159, 1017028667, 1041565137, 175087411, 62225645, 245155563, 931402133, 435135469, 527848890, 458448742, 205055481, 78662136, 527066411, 1028687867, 72357134, 518607515, 106022162, 359530487, 114259128, 365472120, 146532092, 591883628, 555968721, 816834670, 486935599, 237044136, 512496135, 703781352, 974211312, 233804863, 29788822, 156652970, 976810793, 953238999, 993927935, 345455485, 908582330, 1037556163, 278284879, 750105107, 720465044, 979702615, 993708459, 330459260, 112205753, 861196805, 371495587, 1041580627, 219980186, 123969965, 387040928, 576423536, 591202513, 588806998, 1059340538, 1057525110, 820098870, 1048598880, 318237518, 1008072114, 515742310, 750752613, 825631986, 874782398, 216581089, 933363170, 602875377, 925152826, 989265910, 261971985, 58362849, 464996567, 86546764, 829193381, 833774383, 862544936, 823578060, 477859585, 495066339, 28626892, 486465829, 200717105, 1049348252, 528172723, 860077763, 509892837, 621727908, 199249847, 504667391, 745151601, 779291790, 1026007404, 876324559, 366471353, 571164595, 747898641, 482304549, 968693955, 915032904, 70421600, 427205562, 24810613, 1007709042, 381478590, 329345841, 260117497, 41666489, 25242284, 785503421, 90550725, 904179617, 532249932, 520814463, 138725098, 117860974, 307180506, 981697248, 333482054, 168484275, 603004936, 139288939, 932903462, 526130662, 121958956, 760568397, 440786004, 458526590, 257956450, 337629794, 114708520, 17081526, 145090476, 36963708, 905490004, 584768903, 376982734, 507414754, 731422429, 767582833, 887003470, 822007714, 558949802, 651260547, 515964128, 361838354, 478414883, 789982601, 879345605, 953895218, 569743789, 499582359, 167619996, 605957586, 1058432536, 130731919, 873585911, 682160056, 1032692441, 752399416, 794231008, 590058788, 35115573, 193781275, 465145541, 1046692185, 527782772, 847084915, 524112953, 428852407, 445186390, 98841706, 614361285, 1050117135, 2429062, 805304351, 1022770190, 945764613, 349092267, 102620241, 82863880, 897631311, 771329451, 13500240, 612059976, 520226471, 853057969, 800969587, 472308145, 191212406, 814814826, 748593440, 114668216, 60047403, 309195672, 308926938, 213817940, 1049610688, 173875475, 231476167, 730616591, 409248016, 757236292, 789776728, 1007125173, 917232824, 841627138, 1039323596, 675130180, 610179951, 858187696, 610123791, 447613472, 528556233, 517280810, 435643706, 771149275, 442875603, 643596502, 32003394, 112719109, 696192163, 429362483, 683474514, 330733597, 663876335, 642112126, 741721026, 287673461, 347704030, 568120922, 761927791, 758003976, 145961797, 247119943, 299193722, 351844803, 552907451, 883789718, 176382515, 435828458, 610994719, 387654035, 279107682, 339743475, 335151242, 401146324, 88314649, 933841167, 401564197, 917931862, 311568732, 99437969, 736551172, 497415951, 931197554, 863217449, 436597144, 783259284, 929423383, 70008354, 226068011, 925956012, 160553833, 136564019, 1005655535, 93975072, 154114734, 553820104, 129510450, 318834297, 945439735, 590138685, 767485186, 960379738, 304389297, 62049490, 880162358, 534916255, 183169772, 236117684, 558099188, 965919879, 841935757, 72919022, 19333171, 875741582, 498286486, 671581134, 960613465, 564944790, 556043319, 94157833, 712962344, 429048598, 1011622417, 554839934, 305584544, 177779835, 467452694, 133319254, 486471014, 381966308, 169067762, 26892321, 546970535, 177425762, 628792912, 1001224096, 311119540, 49525135, 1055026030, 1071097549, 688073405, 705726843, 773843235, 406581690, 552249221, 107435491, 701896689, 439392572, 224709329, 432705417, 318213219, 187914560, 1067118288, 313087172, 924035375, 966044039, 598763166, 556724665, 29428051, 353861428, 888555183, 47096316, 402889281, 1026626609, 394431010, 18178313, 665095528, 531239478, 670162770, 350879791, 925651295, 413672513, 114896437, 141579694, 948643945, 22198365, 744935897, 123418423, 1062530350, 844512494, 996727981, 41012307, 585212388, 580340755, 928595736, 324463920, 517839252, 409773870, 764469311, 514713676, 974097332, 365794801, 1045072474, 706182608, 869239505, 763989024, 882903689, 65590607, 490856277, 809211995, 941024426, 413306844, 456348360, 653934304, 229961246, 990307511, 942574692, 197246130, 769004742, 538460434, 190306589, 232930776, 506435009, 962900308, 253113747, 241328541, 659052194, 135375999, 495578820, 414738710, 345199186, 362798060, 114224690, 518306975, 532161613, 989680919, 644967042, 736640998, 197492731, 707960228, 90886427, 165443468, 563554195, 136969634, 197843223, 501793670, 1059520955, 195182691, 219774696, 737389542, 1058165362, 859718844, 800538857, 77318553, 573296449, 807784151, 1032770601, 981303996, 861775031, 579834400, 343361611, 612829326, 900360266, 521905836, 861717072, 234828167, 255938094, 493156368, 634396774, 417624109, 833006996, 751607179, 469811418, 1020725707, 627186268, 944352520, 544241674, 516238911, 500622516, 674884374, 708095426, 360587264, 841856964, 214102711, 548180396, 488240747, 388715009, 654227939, 712818211, 713648734, 480347693, 1063027647, 735755810, 348917331, 10129090, 412152387, 244756246, 405273907, 867635562, 501317455, 21182542, 1000520175, 609775136, 842306775, 529990122, 1038774160, 289302603, 1013116895, 782101980, 470640352, 793599499, 702571915, 660053296, 382107702, 794904657, 242595619, 591848100, 667005728, 172715490, 1010548069, 660100941, 532344073, 234218645, 2024636, 838318949, 855606771, 363573416, 870807333, 768094377, 177727101, 534303511, 955331434, 672632380, 39823844, 717868706, 287419109, 878993065, 882536972, 560338134, 988933863, 932555928, 990234465, 1025475910, 641831340, 748003670, 491088917, 560584838, 642999331, 678024284, 269039202, 492894674, 892989602, 398600037, 174877668, 1063482542, 518898828, 16043738, 690485921, 49265185, 596453109, 409315816, 145496586, 969772854, 557797064, 520075174, 238274226, 822698059, 348091459, 143122459, 982086263, 58202227, 951432202, 291373697, 922978854, 1065714590, 634815106, 414770666, 41212929, 619805040, 513028557, 791697532, 402122467, 554340657, 1002238547, 999364285, 666955712, 677583278, 562887503, 7853206, 826492068, 791522651, 1004419719, 45252276, 570848375, 1005381966, 439745401, 204034804, 811749097, 281206353, 211070179, 498108811, 746994967, 735126251, 628192138, 729674055, 112172476, 254740285, 228352442, 384944418, 539283572, 729545512, 106804494, 980383558, 22294372, 625004747, 71844367, 831487311, 278787366, 165006831, 274263956, 713891414, 511953802, 170207888, 853443993, 340361045, 145791782, 744576545, 58442852, 1031541566, 31252171, 977519543, 274725229, 357889675, 474350733, 1071030893, 877031438, 905907886, 885608543, 881702567, 913450638, 272546788, 844790925, 734261264, 189995061, 909944267, 241646912, 890688094, 70092887, 134539459, 15307036, 415638134, 389746205, 1020803599, 784624010, 419086206, 1039775117, 407865251, 464483546, 917067654, 639381239, 990550355, 845213538, 881862930, 624489947, 226566358, 847500785, 856663770, 44542981, 526616922, 62028048, 416095993, 936864546, 1001015495, 1066420753, 367462547, 891755538, 680063893, 157152617, 933179876, 947641189, 371051004, 619100903, 11599380, 791451433, 470266756, 319291207, 62027380, 866547383, 856241329, 243390522, 443011325, 578493839, 911514325, 329189732, 101942785, 219494799, 46627627, 118181627, 379474718, 866866428, 836172739, 864861448, 495398238, 677438406, 645948493, 1060777182, 933099900, 476450310, 781604468, 863685132, 836868051, 298631583, 865498615, 439557756, 736789699, 683429117, 187996855, 426258349, 818620094, 292136683, 240993326, 738799078, 484223063, 857604158, 700034314, 297668516, 496200178, 584507014, 967191966, 618572417, 890076801, 335199413, 188163293, 739735218, 261935775, 810065486, 650190460, 357240831, 578949319, 901066121, 821060596, 872949617, 574288736, 821295242, 939461213, 103157952, 549997046, 864882731, 962446767, 959284132, 270560419, 234335670, 360313751, 757899965, 122533781, 1049522558, 41315103, 1047804582, 482436448, 553237493, 487416059, 218748479, 817170239, 257328220, 1016197270, 340865632, 209156265, 209890599, 714336340, 248034823, 298770473, 139989479, 234739740, 662052128, 971961627, 568985838, 183329385, 28174520, 374964502, 121555906, 636118517, 504548617, 397292974, 153233385, 366066699, 983187849, 769278937, 710648449, 1054185937, 237381960, 66814175, 558926879, 17738451, 630309935, 234566152, 322801420, 854104334, 101392277, 174335356, 940870185, 1058149341, 506638987, 455472156, 68786958, 991409819, 234506209, 810586965, 24778723, 120516294, 1072971126, 42445253, 900963648, 863762234, 386829174, 500126751, 533344383, 322219896, 620089365, 790961504, 1016356494, 371297185, 148673171, 663051244, 576945049, 821133814, 121098411, 882389114, 240054457, 71586503, 626555915, 149416484, 1906457, 66705116, 990914084, 1052770405, 125616011, 388082362, 590093747, 510748424, 578556007, 601145442, 540300098, 549928571, 95114968, 1033973979, 990607486, 568944977, 349660980, 934277853, 192927404, 234512932, 814479314, 378188804, 1003761341, 395771294, 641056461, 281963186, 31434368, 734598699, 84229859, 245971289, 402463157, 903843478, 956558585, 397325471, 766387584, 690016280, 504211938, 381881879, 770660443, 448150339, 171192586, 625028154, 354220487, 753250514, 883480428, 940310381, 125253293, 215519938, 428247857, 380944702, 206749805, 802557552, 619206757, 225318455, 781400251, 145989314, 47859635, 722180846, 284174511, 283390554, 554691734, 515823561, 595527617, 212506058, 11873011, 655298371, 117774730, 979514193, 204083461, 1037277503, 171382539, 874424631, 842155223, 639117384, 144187393, 966913219, 1024889882, 315391822, 404695343, 699121738, 1001738487, 776898535, 915245538, 854602401, 122729555, 148591049, 115645361, 266519490, 536918828, 914987060, 353528581, 498826152, 377831568, 112158517, 939907062, 269701800, 841414990, 783747571, 1001487174, 876546232, 1037741186, 258812303, 268581941, 809474657, 712342974, 1044205890, 634307670, 393440505, 999278075, 86867558, 489368646, 911764228, 1043572797, 244854269, 517992458, 737958862, 622806535, 991659172, 359169462, 501536257, 282205092, 962687925, 877730902, 1036362924, 697248829, 286766603, 453523464, 901713177, 960228481, 188320995, 669465832, 1060035374, 283511814, 83348059, 291420500, 1066998736, 468378736, 381625569, 1013789483, 805881559, 891717239, 733758748, 229034121, 717126146, 35922207, 570094335, 159939231, 702250442, 672350564, 289547979, 775557736, 455319663, 823537976, 159766019, 457846178, 86782363, 582197704, 774927574, 519441962, 360996761, 743772104, 1019094406, 101213301, 340106240, 832977776, 40596486, 246564681, 672436015, 55548601, 1045222628, 59343796, 958188081, 439158600, 205288394, 639038184, 197663210, 797232705, 915595462, 127626904, 835054060, 188582996, 581991481, 183867259, 176381111, 980922714, 377468347, 881442478, 190898188, 504548457, 348764480, 147426151, 484920395, 763122982, 1070442541, 784188577, 340480861, 106853158, 492037598, 746426587, 914049733, 708317660, 827538940, 483925557, 433818555, 743575899, 311048038, 750400271, 172669763, 319450021, 732570201, 628419490, 126191332, 461108498, 825177849, 164455436, 274069496, 560996886, 930089502, 188713853, 984417283, 1013737951, 816692736, 81501294, 868003845, 422829960, 715564007, 346242918, 128750363, 404550508, 301376125, 740300391, 764315447, 1026333107, 279174230, 405005632, 487857967, 296411743, 970985269, 973138845, 496651485, 687133905, 934081530, 864953949, 525770577, 873433031, 977030739, 250161295, 295840868, 1056866904, 167463138, 18669712, 10188910, 1033923355, 696881764, 458247692, 335952903, 294449318, 174455971, 125967451, 977682363, 809861645, 777982795, 520861346, 855938884, 675895745, 190485969, 619101831, 16633499, 149965408, 217512363, 785435947, 517033243, 715562575, 292442122, 997476657, 284338396, 933018382, 103837634, 431589042, 12984447, 458340640, 433169204, 143594595, 864437074, 665209641, 994148876, 366993850, 1027505788, 714257535, 938753672, 216029073, 875939285, 373340393, 137825429, 846267312, 35976988, 1001831090, 662639952, 306998166, 67668059, 229357883, 690693894, 762413416, 270990903, 385071265, 785338474, 748610110, 833954578, 540853020, 1042597614, 713177514, 697930477, 498411008, 642233624, 768404345, 806111973, 249988756, 568843139, 1026110521, 85518000, 597955754, 73751963, 493997590, 694266664, 894049672, 1040664009, 212436916, 676083850, 891753389, 1050962295, 948267524, 167502671, 655264660, 568931927, 796101050, 37167693, 183870338, 292357336, 1000625002, 52741387, 107602623, 393031909, 131526452, 20710315, 473867425, 186906465, 133898005, 892289404, 301273783, 245739297, 437479633, 817302994, 210902167, 742313427, 1012715063, 563865624, 98495717, 848636810, 710833494, 524062533, 613327353, 22342604, 203696296, 102536643, 708855935, 327930244, 272928202, 505436524, 584941299, 722651870, 139480540, 495578915, 3358033, 97083395, 502157211, 498259289, 263580031, 848563160, 227944094, 496520224, 777459208, 795708647, 467326396, 935953181, 942384873, 410407591, 585131354, 697345944, 201476958, 424697012, 439922749, 16625352, 643883847, 200375433, 62932756, 357066458, 140039869, 620705232, 151142230, 222004989, 205364633, 92498959, 902317962, 835948904, 704987505, 1029887637, 337374101, 263239593, 1013014063, 823766326, 586335278, 926830409, 690876056, 949534592, 190073161, 545438284, 597127482, 915024374, 324557588, 763672703, 1021089983, 939704348, 520846516, 313512106, 365302627, 838419426, 708586540, 368801571, 108580845, 223370584, 860194302, 690990807, 239438910, 80900306, 747489201, 278430365, 1067277596, 722624224, 804022750, 78530601, 513435446, 10200007, 28475852, 337071665, 680468955, 699098268, 514203721, 547710757, 310508869, 887789537, 323385506, 591830173, 325129588, 311145348, 415178383, 25403182, 378240388, 61556051, 384934486, 496455745, 299307351, 357277834, 410428024, 656258311, 67268255, 65869239, 325593524, 312903422, 295816217, 262665277, 550385737, 959534310, 335327899, 390403851, 561629023, 408216457, 937559754, 599611130, 976758653, 681109806, 140375515, 947533402, 59977323, 774487360, 185724611, 365864803, 354876966, 346378329, 617160436, 513464440, 932933832, 351215132, 862766192, 936810733, 254472804, 79036385, 14904713, 87631093, 504135046, 823572809, 456463180, 853562044, 47239504, 874692411, 542446842, 213560162, 225284576, 441696711, 906796247, 100624752, 336024806, 727794286, 629243011, 883364079, 406813429, 134765561, 807911854, 969296190, 167170993, 660879228, 414059241, 80997997, 1067302818, 473246293, 290792557, 584713250, 833056749, 853161734, 629349749, 1044545073, 182574995, 778747183, 487582444, 678193374, 759549411, 671982682, 719214534, 1039943527, 603099797, 925084006, 604083181, 580134513, 77586864, 1050087522, 808164473, 1056517147, 668398237, 186581418, 421780324, 657650617, 11846989, 557054356, 256556659, 555796093, 731802027, 413365314, 373738294, 44249049, 416122929, 439626110, 346085461, 395827429, 928627105, 643795608, 84014809, 937235813, 296099391, 89066110, 689813969, 452346936, 369727587, 360200518, 500134226, 457256168, 628285293, 546900113, 60756432, 690329521, 766270344, 661266850, 252000980, 804282554, 693950548, 802330196, 487314109, 489719522, 810652610, 53908652, 73179364, 869694712, 139744164, 383602725, 555128567, 250100911, 771013112, 1022372374, 902922566, 793023798, 109401808, 38061737, 20136328, 595138197, 394478621, 922017715, 934568783, 586501648, 346319275, 466909879, 282461855, 464531925, 544587887, 616518788, 821809449, 557647869, 473012223, 1061284210, 666892611, 643327053, 891437153, 998436350, 531151955, 373285357, 621377283, 647679718, 299258902, 884287445, 537547621, 978618420, 1035521118, 324144769, 612453257, 296668908, 529021941, 543574088, 996591420, 209916506, 701297261, 1035032048, 642482632, 353358629, 523508545, 105129473, 1013106566, 810806794, 90574319, 661048854, 187159319, 215249757, 749498223, 295767197, 691066030, 502176371, 681761614, 180762960, 14038258, 340328285, 934183479, 310061565, 43162666, 963414191, 11283910, 189253398, 352780670, 872868036, 236056911, 114899544, 682308826, 392476446, 1039969318, 618912154, 370925186, 762704012, 968516383, 84642672, 93744656, 274327621, 878190515, 279569254, 917968336, 258890209, 973132716, 289776706, 247385753, 791893900, 673334998, 75307892, 92799502, 946928349, 612994057, 298355916, 992874387, 842271916, 932141258, 979660951, 528534500, 135037027, 42155363, 231326142, 959968382, 382229632, 1059709150, 335160941, 849951282, 146236132, 436024035, 674571477, 702132001, 691258136, 875049274, 448554781, 1046448653, 476677033, 946668625, 365228356, 290983102, 185460253, 947181772, 175701136, 640474520, 1032239523, 207313120, 594585284, 1033095853, 168481243, 703992886, 762598645, 695184147, 1036049558, 639817758, 275402233, 837636888, 241345968, 584743120, 632668403, 238849951, 325592348, 1013826067, 435264156, 392006593, 185244685, 223062079, 328440723, 245535146, 597359214, 1034287306, 170515944, 769228375, 716320659, 226697776, 788544078, 842930135, 19672966, 10694109, 468848005, 297173146, 605824054, 321943994, 431680304, 330971189, 116265582, 881878231, 813170738, 185316732, 843065569, 355774784, 854057857, 880684038, 627168891, 682703632, 440617031, 296057219, 431700283, 290934826, 597708980, 1005991771, 392560080, 295751397, 78360861, 205580606, 140344795, 126897520, 859875250, 170251128, 518776465, 278732739, 498075448, 75888175, 357956975, 401506499, 105445503, 792766256, 674516776, 1071758181, 564670278, 374647833, 218239360, 348039420, 102498120, 203185557, 8085130, 768719792, 748493913, 181895556, 911128247, 524987855, 501201233, 341001895, 188810130, 1046779824, 728127514, 280562820, 546621976, 1055489588, 610988709, 774481786, 29393994, 379482998, 443617996, 858128850, 308839132, 861731092, 246285695, 673747060, 637404901, 574662418, 803732331, 767369605, 1027221592, 122379421, 346676326, 646469397, 1034312227, 296614850, 957746072, 814247553, 708294744, 673903623, 313041549, 872594715, 548104453, 705886865, 962834396, 246640190, 212771095, 1027631356, 1013678959, 1034126847, 31090701, 79590114, 1036302484, 486435423, 737576076, 114958725, 140012068, 691076073, 299166715, 532310367, 927747552, 378546385, 1056525190, 1046357543, 663554451, 1007503537, 618955330, 145315826, 595668547, 14584379, 647257342, 149292743, 93013992, 954660555, 1023854268, 447418089, 993582889, 46729432, 133709030, 606608000, 785997894, 579487071, 143985453, 42567400, 890021258, 42250529, 596238662, 309589168, 617491589, 98647652, 937735980, 162653371, 870395943, 329841432, 999823842, 735307165, 352616345, 698672775, 139363815, 534374563, 881050534, 325126257, 440589953, 834220550, 489973781, 644005122, 466994345, 711779166, 187981903, 1004636274, 469504294, 207384997, 1008425119, 103647774, 827679106, 703675728, 16271985, 19783121, 658236934, 419794839, 504495338, 189759925, 394136456, 489635763, 993266223, 1014866040, 402667195, 671646512, 19442987, 402671195, 690226437, 676528840, 635360303, 111440711, 676672292, 463295136, 465236610, 32861876, 179427163, 292011693, 955972092, 45494708, 943061005, 743449215, 429999333, 199950875, 916201953, 695205334, 566531662, 807801031, 39546745, 899866365, 845362101, 1003353556, 351924054, 245015031, 1064284806, 262685663, 617455929, 242607889, 959863735, 270692289, 1046036490, 262126580, 394855962, 672786731, 932380693, 611883833, 588659649, 331998316, 66721939, 724267681, 229764204, 797207191, 298477713, 323143986, 111692787, 171225977, 229283979, 700601533, 913975324, 304355958, 662707149, 362333981, 748493588, 948684158, 554787876, 483559747, 534253521, 550958749, 537448634, 336667376, 411885127, 347760370, 1642166, 645888930, 898195198, 10202193, 222987437, 768017188, 969480183, 613789713, 1002461433, 852360693, 247088677, 485276077, 360199562, 331014367, 844690504, 545873137, 423893356, 352070517, 566768109, 759590954, 475246156, 228224763, 436608454, 494384461, 778022725, 467624521, 631225172, 345377616, 875544841, 220350341, 297844902, 996804292, 563959741, 617163343, 672188107, 816155657, 604192064, 683066288, 744653726, 136921719, 721568806, 62764061, 232308501, 427115219, 864460900, 152160492, 596498143, 969727709, 405958025, 735305757, 157781139, 788188997, 919038183, 994099794, 47929200, 533630855, 685141315, 228182236, 630556859, 251714027, 225440753, 1020092903, 539110779, 892407976, 207842984, 700990816, 228181442, 447408475, 872172473, 533057031, 160122506, 617067607, 251906814, 226488213, 786972198, 995103350, 834334841, 541118585, 359870914, 129536851, 238098714, 1069070836, 660784487, 820957609, 489851696, 813916857, 275471568, 419581367, 640016939, 821542778, 1061461813, 307444638, 933601999, 273247186, 146650054, 388790662, 800744321, 863809234, 663694906, 311434634, 100461966, 634080985, 816339555, 544363519, 438456684, 973292374, 630905198, 991946193, 385561938, 432703311, 587831113, 596677024, 177221499, 972508322, 346792413, 306273802, 759708074, 485384456, 869011837, 264401075, 871073853, 741210105, 637119963, 386786045, 666208563, 375895876, 890833767, 960594992, 535917087, 30017811, 169220497, 1015132111, 36630018, 520609395, 1006497592, 628118709, 429047766, 849236320, 530615588, 871591782, 951286158, 579076400, 698631942, 865107507, 580573634, 667629147, 656603606, 956421688, 747443100, 558380552, 1022966204, 674525794, 709977146, 35594977, 515597866, 138180448, 472677120, 586834736, 590186023, 1011531063, 945927928, 440479340, 470669331, 745066246, 342917054, 959291806, 609243355, 542733953, 405846673, 258761261, 478524866, 731918106, 1022409349, 281352482, 93738682, 129148213, 270856430, 415008941, 940474202, 450513127, 579896096, 1072926730, 655893798, 29709750, 424744939, 800157036, 696429244, 767699938, 637205402, 640028771, 197415961, 23886926, 178972405, 198486453, 292464274, 172221854, 611462000, 950010678, 164485804, 292428918, 364642089, 138644266, 577921236, 901258785, 486157525, 870759717, 668805193, 1065201708, 530460236, 708272290, 691524672, 672509837, 677158971, 202250078, 629155785, 419410870, 304396307, 83929076, 276477182, 939132825, 377026374, 408444249, 613289249, 1061927774, 653395874, 836617406, 69332038, 365515403, 706976632, 379160080, 60004002, 725095507, 708364272, 942253062, 48848928, 308310254, 499394477, 238582062, 523189023, 289625877, 898466704, 339217288, 269134621, 351701639, 219824731, 329428681, 554374451, 908079291, 65418392, 350754878, 805176594, 991270464, 44603215, 544032443, 757944708, 237596321, 562672906, 226290714, 783903393, 52585741, 848479697, 88840314, 650146687, 947935065, 935086596, 905865864, 557151919, 172854101, 350086050, 30182649, 823295212, 651917591, 841328020, 701822150, 567911059, 1031118699, 552654199, 960252684, 939347483, 276799750, 922237120, 656427735, 693223465, 432546468, 223352771, 1032949336, 916680660, 1027421922, 839120035, 730906901, 632692257, 549652221, 379709751, 772713520, 77224250, 763762634, 1025307762, 95356996, 308741377, 950341185, 410364226, 103002028, 317255137, 412750205, 783165395, 832050143, 774671530, 368760607, 422352563, 622418350, 434076518, 200445592, 258321147, 282772998, 674241487, 936814733, 654391831, 743212712, 485676651, 739490853, 249619311, 661142553, 990900075, 934162204, 477846113, 773552708, 662199562, 1016085503, 597353591, 718177828, 254801803, 812756205, 390263169, 166960990, 236976600, 232039380, 59402974, 503328433, 866144272, 327967181, 1023814507, 548041580, 459679660, 694341527, 901109555, 185363204, 432513924, 927750337, 644108673, 579310728, 570969370, 110113125, 272295359, 1063534755, 981515344, 451504300, 625711230, 1066322067, 853603117, 209650350, 248686034, 347034080, 1058812347, 369669061, 24054084, 58027942, 746286663, 499102559, 236273504, 749392172, 695955295, 761137632, 952190034, 553056291, 626137406, 386804717, 9799869, 805311084, 243408700, 88875159, 623706710, 866508947, 545394600, 706987457, 279350692, 819929581, 130649118, 225284855, 643065473, 667215431, 234420079, 1031574445, 821902403, 302870176, 79570805, 289737976, 613457535, 1179331, 105917612, 295800242, 664976952, 1033873005, 352229166, 843916676, 180573037, 220313466, 521852348, 121117164, 523831171, 957470446, 20921240, 711742671, 321218226, 40177913, 549705833, 217975180, 1070921212, 633011343, 389203130, 829417148, 229450835, 601846727, 889096473, 88260462, 654871178, 231408603, 286390027, 319962259, 833101747, 785130808, 263619967, 360447961, 99135987, 869001125, 735874953, 849764429, 649321561, 450569951, 447205257, 965951920, 423424122, 63566313, 488916136, 76716692, 145800935, 235640641, 191922402, 828312796, 465477310, 403813725, 207267464, 270019291, 558472642, 454264283, 585326784, 727477590, 715936545, 349812653, 476063592, 358889408, 698239416, 311517919, 18931689, 506415328, 861519674, 527163942, 352303468, 727678833, 712450675, 770895697, 1071196474, 688078737, 19779647, 562650138, 397579975, 44535723, 31086691, 893182903, 405796921, 987597877, 550898, 493567048, 99461824, 562475324, 270906876, 73858544, 532090438, 252317293, 772101708, 6121512, 682042180, 71433295, 39147869, 211854514, 766496707, 1056255823, 340357036, 690938997, 91604934, 441094574, 265263882, 705947536, 399305531, 1020790073, 104002162, 1013779761, 421397763, 708940642, 1003770390, 692423366, 95244510, 653528673, 601653060, 200767591, 552578850, 1055400448, 731183564, 392829617, 376750411, 397003209, 49657197, 676138768, 468864818, 631011100, 152625289, 1036808357, 155268346, 849168814, 569069919, 604629851, 198847957, 707411207, 538052926, 565341671, 495578906, 114299263, 916087784, 75774671, 675396945, 855470434, 314670409, 406647854, 224899702, 742881197, 291046992, 278423622, 143893037, 34316054, 89108500, 473647297, 839835189, 323328052, 356996583, 673021664, 207860016, 212883582, 421872078, 889149400, 487713166, 461975861, 802869047, 346883959, 22795044, 528445961, 276429460, 539559391, 1061014837, 426197203, 578282795, 714486801, 413965912, 817696721, 533017230, 505481383, 713888028, 176760316, 781853227, 84490268, 691002515, 890231590, 706721945, 19602208, 66884193, 968814144, 697681690, 519374064, 1001099631, 329726924, 782807151, 798278637, 527990284, 825619311, 115441957, 623389987, 103176219, 471791590, 599684404, 725053056, 541139559, 1066865314, 705500069, 1056198929, 192132141, 201297771, 987614252, 235652995, 91783307, 140164700, 1016219402, 429190509, 12672240, 780205428, 364855004, 1046404761, 795367535, 457565044, 1004929199, 852790693, 1050848187, 203110765, 905198431, 735644470, 64185082, 417727252, 803071951, 409153987, 375435276, 706481569, 210176129, 216927997, 717964299, 837324449, 396916371, 452614823, 468211785, 996707817, 94527266, 150834701, 1041922772, 373408277, 552693799, 138402620, 155291968, 978415210, 496748744, 897671833, 910465423, 412805476, 644979904, 747306594, 587575357, 68872189, 492353335, 880888863, 805247350, 631990582, 934246028, 963241701, 726394478, 934024139, 951570189, 257995452, 335522467, 134470267, 166976480, 509778767, 202269205, 220587605, 61229489, 286392348, 552272872, 1041700906, 688421364, 108341081, 188185032, 924151804, 197244750, 290709133, 315761304, 822844848, 572123623, 784130764, 288673310, 866704390, 296918342, 3297336, 704567945, 1059250114, 224175823, 911092183, 288741726, 919416467, 479423823, 996692304, 979847227, 1068166597, 588745436, 521906552, 24837440, 279543545, 769340254, 316255627, 966488090, 303193060, 798764473, 529765770, 650541710, 315843579, 7860701, 1065716610, 421335882, 649644681, 150995266, 527990714, 377564707, 38516021, 309138549, 405314554, 802859364, 175637953, 273059721, 456497938, 194035946, 368656532, 975439039, 806792534, 872862110, 204404419, 368475155, 401205784, 191497133, 292281253, 950989016, 411432780, 1009727539, 9094770, 824408025, 692693859, 90758577, 21609506, 399068685, 843651376, 426627207, 717456604, 324776262, 46619002, 551207220, 507869034, 145762518, 317392958, 492012833, 129100262, 110931918, 721481019, 463212862, 1012903380, 1035528822, 310199181, 223957922, 363151537, 964698913, 433702434, 485467536, 250689437, 979929441, 977285816, 468779138, 656353224, 475580460, 330578585, 24692137, 983507352, 6429643, 4949200, 45243449, 9075340, 1050940212, 41162765, 146101114, 723767543, 962130157, 307458832, 75809220, 684604421, 253117675, 421450046, 474866822, 876369736, 104793258, 878307533, 843011320, 694439263, 592744186, 153163221, 915245055, 117590249, 648319016, 447105241, 815246589, 346494747, 321395848, 569349366, 1040131016, 599241843, 364611585, 697823897, 664273852, 61083513, 405280181, 730508243, 500233410, 745964156, 1056426658, 269117275, 133781563, 374750875, 759655317, 864408064, 118505541, 579162513, 1017253439, 334810093, 157787164, 1007782061, 692122082, 898576280, 138519799, 673130013, 375728726, 360751782, 363290850, 1063092576, 877462868, 725757167, 772888493, 181917740, 580721779, 735733153, 613329982, 550837664, 721434252, 842671902, 489139174, 224781286, 390428326, 650028633, 1056598950, 117232889, 554472463, 746915492, 166126698, 888825279, 760603245, 301002333, 356332721, 152222589, 683305334, 1043221957, 440005370, 773366364, 289379459, 58771298, 59509586, 316371162, 737071778, 952453060, 210459663, 846088855, 504907231, 670441583, 974112063, 168425021, 458428874, 537407738, 267570906, 354124572, 56428969, 677950289, 219671165, 1051063208, 645106521, 736227686, 172446310, 1072254959, 486921632, 925207647, 109736280, 487214540, 95216322, 140506181, 481983342, 648357988, 145385632, 640291672, 711257360, 735576511, 1050435635, 740628373, 647266554, 37961854, 995216520, 983183254, 307478067, 292875456, 997792911, 348060900, 1000456002, 417532453, 1041327199, 496534728, 702864868, 1052178981, 539429381, 951044844, 877235351, 591402054, 890386958, 610342354, 327567467, 419419140, 880065188, 459721292, 313339138, 577490827, 844537623, 97273068, 138420305, 448969431, 453110407, 514102497, 520039070, 782928301, 28062291, 623666910, 444295471, 611774826, 735762281, 677066189, 781590564, 803121752, 599870084, 872623371, 662652824, 531591126, 213501393, 288143575, 224772677, 500717860, 730034633, 1061673805, 545796705, 897144069, 617299868, 1002341709, 58604236, 350933791, 476299216, 13617785, 100474881, 250611143, 959950674, 219143977, 759777849, 385822424, 855206339, 985001902, 469138135, 594007190, 574710917, 872510435, 710383164, 718795415, 119620962, 290009704, 774882955, 931688571, 358582141, 869608369, 675742390, 87455039, 1038733600, 523398974, 1035132085, 86737746, 509106778, 32704077, 985665923, 887153417, 330861194, 190813827, 499606585, 382616143, 406188022, 333469443, 961204977, 64186023, 522957473, 751029788, 320692269, 942279046, 200804635, 887912724, 249885364, 894112428, 473724375, 831371005, 850567232, 494937528, 1012328658, 8162059, 83244988, 674737650, 461792853, 986106508, 354352298, 719016801, 1071857335, 964448898, 78274634, 416206136, 827039869, 289680669, 838682344, 806152553, 802028733, 698792702, 24301471, 1028477660, 602745909, 530474821, 842592264, 872838365, 843165287, 254211439, 1069778495, 773190390, 194615347, 982572711, 971450099, 769627508, 68788669, 1071397540, 366039450, 1061172164, 601749751, 147552223, 824870873, 1071438199, 599131463, 756731848, 785881435, 291482621, 277342979, 354837122, 762789310, 993220118, 966723102, 1025296285, 292172039, 549904628, 507607029, 593020900, 25839839, 491536127, 976851479, 1055654465, 336500680, 158827582, 708968760, 219205523, 382386416, 373962838, 282781402, 451560421, 756967794, 424832694, 1033172024, 27316029, 727422851, 903655289, 988447650, 890713166, 291450310, 1031724066, 922086961, 1015163201, 191477912, 28843642, 808410255, 1060928435, 178209232, 1067566958, 34313930, 946707630, 31559698, 943486312, 478651518, 905023951, 930508561, 1069365175, 987086537, 669508215, 498355120, 909421966, 497298080, 416159338, 737784669, 7655972, 326175226, 793295607, 76945502, 629774836, 634145405, 324931087, 282582557, 685970822, 655981515, 135484424, 156042542, 136109483, 540983932, 769469561, 503778930, 732391028, 476411923, 411616428, 536762965, 770315251, 772209462, 669634227, 761184669, 397596335, 592980596, 202649470, 526938351, 1073420000, 415831569, 1039764694, 376133354, 367463058, 821755325, 759439839, 23982179, 905518593, 287477907, 881336349, 249499921, 790735061, 796527892, 659261365, 621895876, 916521705, 494056724, 1062349752, 494877402, 945672489, 849320129, 287313792, 278879592, 926927545, 736105192, 116570334, 390362668, 36046993, 1005224599, 295910819, 502031701, 1063648697, 746220484, 489785558, 211794135, 745618146, 276858231, 836263779, 322852030, 24701510, 301655688, 973593552, 288042950, 691402738, 937318074, 778628613, 937117074, 392979710, 284330286, 184135308, 65334761, 130669271, 437743446, 306513445, 494259843, 760773039, 699292682, 163152787, 411565769, 658566079, 414583506, 305626082, 470125300, 780746684, 315568822, 1046867402, 15023694, 174099582, 551017349, 437627708, 400551198, 327355041, 630129670, 705938889, 44447890, 335489336, 722867503, 476859751, 612474484, 568981512, 127626424, 58630050, 337182432, 768609251, 65447509, 972043841, 525043076, 751047800, 674594214, 280736609, 1045546881, 329873341, 201255005, 843590070, 1049533185, 153062127, 986169262, 973139477, 521007622, 350954493, 707663490, 49355171, 405386696, 85484795, 773985829, 250902900, 242659362, 294620775, 667793376, 138775027, 984434072, 1006182926, 71561003, 654871582, 54383882, 514916628, 793090472, 976113365, 195771156, 757190246, 173889072, 217176700, 787628903, 526588944, 839512912, 833732806, 794642299, 1034855948, 931621634, 631200650, 305386359, 1012708886, 124775312, 228585470, 886064756, 917077596, 620942308, 64433123, 744325788, 809313148, 810401601, 445186805, 507025801, 509353564, 707501895, 872234379, 69046078, 976743723, 437838171, 564294642, 396233277, 915270428, 1059480944, 133196310, 298261535, 684245243, 359807506, 758644363, 853323251, 1033586092, 289359930, 1033086471, 489245335, 267024707, 44231962, 1047500465, 583249440, 1048839807, 411423903, 1071746658, 237551460, 291115750, 288654882, 556445726, 874817483, 288103385, 544549347, 1043295949, 889653167, 879286195, 462747529, 172300655, 426518352, 466327141, 403050227, 68273718, 814549107, 819428178, 615402207, 451539790, 1042703760, 605750018, 277148124, 164726436, 360090660, 148041002, 667736531, 510853898, 700477210, 630454092, 322883750, 667754161, 983847292, 979845244, 631188828, 33094059, 884863993, 166202562, 350907741, 375656604, 866680192, 554530060, 532258140, 780180708, 222271120, 41801519, 765155279, 459436097, 658952090, 432246719, 556263313, 178216999, 529997468, 445356900, 1005654888, 484008774, 914245336, 365948537, 530304193, 887857565, 1002120375, 1043138612, 1023641821, 780401048, 721357057, 709283459, 513725808, 94783309, 625867782, 820816813, 265337711, 78321875, 1035148640, 104378760, 972799238, 150113491, 642625979, 559791802, 644394433, 768297783, 372671375, 454115332, 956210970, 29941344, 1051087366, 248175143, 480294440, 872739702, 129063182, 871406428, 621877315, 768706074, 372477088, 357889547, 896788894, 871385643, 167988341, 21976896, 667921994, 536992140, 517048309, 611087252, 531356257, 949360568, 251006156, 431124543, 174766498, 67684427, 468500256, 838707117, 993608829, 1061295223, 475464812, 542074826, 1061627637, 796709643, 797709964, 246309590, 360447247, 1034894542, 135801897, 1011786113, 1007834369, 106470896, 482126497, 712322109, 268038103, 907130488, 158790274, 620827545, 650708723, 494959470, 590929766, 386139845, 172817717, 487622032, 375924279, 512872676, 444914304, 387324105, 156523845, 49469601, 392733013, 751316475, 766498571, 405761849, 973787545, 335879847, 306523740, 628003215, 769544955, 863863184, 1029506669, 75357970, 854464206, 751004371, 257418653, 688807119, 791225380, 957615525, 351404001, 422150213, 289426213, 720246416, 618324071, 531346939, 696993834, 212975538, 545608129, 922575076, 998763888, 230664078, 958555882, 1022621556, 506765150, 675607237, 503729940, 170552086, 393748725, 786092601, 973176839, 147613275, 808543248, 107678830, 38313230, 109768605, 939266441, 195627545, 183989545, 792035680, 795638864, 366494201, 639703084, 321217086, 290412075, 660595174, 759313918, 133279584, 635329822, 89873524, 373465090, 128860833, 944606841, 961574971, 989288503, 334244237, 694158760, 714497568, 16616701, 805497016, 209484195, 575560409, 186387158, 993386280, 201674749, 659465597, 753140321, 489471574, 862593032, 552805037, 220397047, 759856185, 466369808, 1036917057, 85649665, 1010889685, 492243740, 11984715, 405094951, 813826325, 74936767, 398451480, 47655243, 591675382, 1050157255, 674520691, 750607181, 49326510, 974863558, 357925237, 450485355, 347693470, 548916722, 797535689, 395867724, 650044149, 234048987, 588792060, 729523212, 652694917, 123468756, 126365276, 1063679176, 215811118, 264825144, 683364702, 670762045, 964362470, 240336647, 384707857, 758272159, 144472492, 240631236, 609695308, 810391417, 61618054, 785945851, 373573686, 99530370, 149842343, 1044104286, 274690057, 600725120, 504505035, 227826042, 156356821, 493896990, 14965283, 604566588, 927941987, 162485965, 558261096, 539514856, 54865153, 277359, 28651524, 786792679, 965860838, 177686314, 429034851, 664764714, 762129954, 49000026, 1072226222, 331447216, 694340120, 1039388574, 395367303, 296111424, 790778763, 813181699, 1046486624, 323503815, 592965514, 993083864, 1041570464, 393392301, 533293694, 282355850, 395377183, 114747702, 181556254, 769359447, 1046270245, 660784871, 653154024, 567740522, 497685936, 385748622, 1008124764, 993727075, 36397670, 83968157, 58347144, 290911454, 119837371, 117014486, 1056549431, 789108920, 171190154, 331574358, 28914433, 345663072, 653363190, 1015066101, 1026643466, 231452747, 418219211, 46076432, 1055638562, 98058547, 425220744, 945027091, 1055997107, 947678024, 766852794, 522149784, 985038661, 545366956, 106465930, 237923747, 866208569, 788051147, 660028137, 622213928, 73566670, 96095260, 565703175, 284173109, 516191584, 557634965, 553729235, 101392082, 927490726, 390177182, 528022673, 165396033, 702212271, 404898651, 988132583, 92947432, 157781499, 653537588, 158939338, 717011009, 45290390, 827313415, 587861078, 647867241, 763051576, 263323901, 703093463, 308833312, 168947640, 523215368, 179455721, 1035940518, 400351310, 284176869, 650210093, 964340209, 732873053, 381422740, 552077890, 422499245, 167250163, 933009858, 393388543, 646067540, 157868010, 559076274, 648361330, 1002987487, 389619843, 1016930159, 410462605, 913618561, 887877655, 600760757, 706377851, 838577655, 656626080, 369904490, 32172695, 10344233, 703157446, 499690975, 781573041, 639131882, 78964572, 540158527, 577051560, 150249812, 147366683, 808511083, 106088837, 462012086, 679580202, 146878764, 698174516, 642049131, 1044215035, 858477011, 240005173, 907391285, 348864968, 660169049, 180405553, 1060999093, 95016627, 233778383, 906870242, 1067028239, 321335429, 184390541, 946667399, 51966584, 841239715, 79094146, 123089291, 699562199, 192775788, 284568939, 37526167, 234218695, 110223402, 916171713, 284528996, 796125478, 555538743, 324806374, 1020319136, 501408287, 972332319, 624142477, 183664112, 1048659041, 325639196, 489213002, 756860868, 363475645, 671557011, 187428913, 368323788, 556362726, 1070531996, 606295608, 620181317, 1073081507, 394289896, 406477371, 206761870, 855343078, 341052751, 700493470, 482991867, 269782433, 818917496, 122434126, 95060058, 261893592, 8856039, 463063957, 420786998, 638140544, 1013175389, 116367770, 60785243, 968371137, 557029644, 480339660, 681740638, 257023125, 776825363, 685528620, 391170680, 743713298, 325579872, 1045729872, 673725770, 481804116, 160508956, 198112726, 241986923, 637597705, 908569559, 1033966959, 776870220, 890255062, 398497302, 245173541, 12123384, 340814999, 1027522496, 730521641, 391187768, 926582099, 175253114, 135568295, 59052825, 946226408, 354157364, 62015666, 513815369, 717967864, 1051740017, 44699852, 573773892, 1025556492, 688829954, 653196056, 609857411, 888712763, 512522684, 375568658, 876095151, 127161703, 1048683120, 966144092, 597182691, 351923479, 158699546, 452320237, 276625634, 229221944, 822518140, 122637756, 259083325, 671272454, 18810454, 45922660, 75887761, 136070596, 354113298, 687650207, 84826595, 85478956, 626732277, 559909038, 613667178, 602105316, 351649628, 681929034, 997177345, 436898485, 516821974, 847005496, 1034656019, 230957410, 312819889, 221942178, 1014775062, 60374246, 991963310, 271706280, 253420161, 996847256, 624207110, 141068919, 493796824, 782282492, 558526476, 169447955, 989879619, 856018792, 444205826, 632569695, 220368337, 848663297, 119486864, 854672225, 817773198, 423347643, 21427267, 707075555, 916525242, 550342160, 590426269, 137376259, 590761398, 34967286, 467770504, 1057780846, 988391001, 837501353, 502443230, 1036225089, 1054882759, 869413935, 366671061, 445895626, 404511242, 518746138, 775349376, 361329649, 557965776, 764661823, 691941379, 981049357, 239096518, 328576452, 568514317, 389094047, 761898915, 800161484, 501364090, 999865280, 466812718, 766243211, 719877726, 394539048, 664981155, 808030944, 474322850, 958711165, 107253653, 853806253, 965681843, 913264682, 205222565, 929503229, 920466719, 279268962, 805218775, 19748334, 19297944, 258820200, 411027243, 46273567, 634155555, 359633494, 451516370, 902265520, 830992759, 400724997, 516573560, 430561741, 1056996146, 697463127, 711963407, 482272253, 900795944, 788567586, 648998287, 148505451, 983418148, 94748554, 398279046, 466619153, 492725799, 39125676, 186050900, 237666059, 1014716368, 599144842, 975116067, 610004695, 929272648, 780597221, 244900869, 286328828, 302371632, 526068395, 462761636, 780160169, 316045527, 193797697, 574724439, 698578907, 901734391, 97085363, 177683426, 413643512, 832876567, 992910095, 1064107604, 52501168, 312652038, 195811535, 575250493, 711240778, 980169258, 930682796, 323272262, 203350023, 789604357, 906205014, 472828735, 143010010, 1043588042, 160611474, 942661957, 370352669, 40780776, 1020696566, 415285320, 594752093, 667820752, 110502726, 859551392, 667191032, 1039090954, 460448299, 672679948, 453291879, 246789337, 130066128, 854054862, 98458305, 427776901, 106590416, 757830317, 769766432, 106429512, 719027697, 26806570, 612678863, 405435997, 437707113, 705354193, 766613702, 1059555569, 716825301, 356363753, 697028191, 19131023, 704342114, 824214412, 934252121, 957662982, 1000582358, 262648178, 476032113, 461125560, 79799433, 116072818, 914530546, 76423872, 12669086, 222889781, 777164999, 274239238, 888513945, 650754902, 224552974, 180485507, 211654679, 364353993, 532948956, 868819278, 804597171, 413383419, 993143458, 759778300, 939147369, 129221116, 644084770, 407015269, 196193811, 323473782, 403929373, 440277597, 359023306, 157098751, 787139433, 980897514, 27925570, 863001321, 170691854, 62661089, 843258248, 942610592, 854949404, 607174038, 986481877, 772472308, 38729760, 754745793, 735450522, 854538670, 94714841, 207886521, 220199898, 278835373, 388662089, 736308184, 456765908, 615082729, 43557179, 138612027, 185247026, 517580882, 621955262, 574531327, 193648769, 366288477, 504941343, 639708711, 327414724, 315305269, 952692333, 361769757, 876382334, 498857130, 551514461, 579017452, 418929631, 429307472, 1056257810, 881090972, 323794193, 15537467, 424764521, 30882959, 308934173, 384267111, 668560297, 926145399, 817660400, 1030968615, 1013103677, 1042847991, 1005641561, 1066214376, 648565208, 328664857, 807468311, 567372391, 162454723, 835744088, 870503040, 662380326, 687628804, 390769339, 25839886, 251792753, 782868496, 4194620, 914357466, 158687861, 1006908936, 148423318, 752033054, 562523963, 766826682, 603901557, 819502870, 457978402, 153173051, 98172360, 352160780, 241899323, 448700600, 593483697, 855788193, 960062751, 398023738, 464647476, 321213624, 687552282, 729408818, 467911293, 373205714, 900002376, 557581333, 923689844, 479014946, 739799918, 77877300, 668997586, 842161210, 21006279, 503508141, 1046492336, 396290926, 603187347, 378441018, 1050492466, 1054433731, 608365133, 1061841390, 672307563, 441761783, 397272227, 404416106, 52346589, 789034684, 671684012, 621838034, 948426681, 973122955, 815453213, 324757240, 910758272, 902883387, 155447924, 666267747, 748750512, 704383401, 260887588, 419690680, 586340660, 544038202, 472762595, 58493129, 1072360756, 572832591, 487213984, 135074434, 435827014, 56860169, 434936572, 59295335, 841598179, 966640035, 875744494, 624066039, 1060481117, 11033269, 132755018, 675353022, 517275161, 940358954, 987662302, 70888975, 539374801, 694211579, 39873086, 1014816193, 564382769, 735795061, 223168785, 858869617, 222543519, 1016032819, 816325901, 863502486, 627481701, 607633317, 842170363, 701808197, 144561820, 476634500, 1009676001, 345751854, 226681539, 70779657, 245021646, 277136792, 680192221, 852413797, 969519391, 504322132, 383445618, 323312171, 450918906, 902568678, 3412578, 154083062, 858156074, 297393930, 477881262, 507242939, 674240081, 1001187799, 580817010, 215299825, 244884731, 474855081, 594593574, 13034087, 80216487, 628550116, 439689936, 681733542, 964907143, 1029397356, 328029163, 354762016, 60490973, 1050290952, 929897310, 441297381, 895139589, 911881730, 418199602, 993821105, 531035405, 766937474, 734165616, 349862867, 798402866, 448591489, 278877416, 208691989, 802860949, 91315457, 990814301, 978125540, 402280194, 375053996, 40110488, 70410409, 1003180602, 20229205, 321948085, 131245596, 1012471625, 658531753, 608737756, 1050909335, 578955787, 938503882, 297403948, 906023513, 295198539, 954275790, 811485478, 135431600, 571865654, 336692571, 638333983, 210316260, 516372137, 886961933, 578662012, 336248401, 49418259, 485958037, 563868912, 905748197, 3354494, 200873440, 421677526, 395318803, 903710910, 763151691, 1069821053, 671067968, 583471267, 430892460, 56356163, 886495276, 920621072, 1044362894, 765034030, 930452640, 973490298, 971430786, 1026438141, 394249489, 110928591, 687050458, 233925558, 130351555, 1023231274, 366783843, 685729776, 659364532, 681263922, 122071610, 622379146, 821649234, 625972769, 283277544, 115256949, 950212374, 651209182, 288709174, 781681273, 488608971, 201027751, 447822294, 268381982, 526059117, 721812051, 427745538, 203824500, 349091517, 576620541, 215507885, 662717062, 398630594, 604710607, 186655451, 100849238, 769846391, 768849713, 625137975, 258311775, 217359999, 2634271, 141239196, 317559563, 668322764, 908586762, 51290015, 887781686, 302996143, 626495237, 903035563, 648883716, 373785491, 814055648, 648765987, 953006174, 148252071, 562915110, 293231695, 819532255, 857841780, 588156067, 1053685667, 1052929538, 920300752, 980602117, 774437395, 715251263, 284538758, 880240271, 987817403, 426780667, 558555542, 426071041, 530686071, 218753910, 609926015, 369097867, 676843750, 1003846983, 207640039, 324589760, 763271331, 572296431, 746126476, 107766417, 271499292, 744589802, 973879768, 133293314, 248454801, 733193117, 920654166, 1057851599, 137989071, 736741875, 868825429, 767348878, 215171965, 641378799, 211633136, 603074503, 603468218, 1061367122, 935657608, 1032256010, 691301070, 783706628, 753278144, 663295839, 600416014, 168054142, 1056430853, 873685813, 554145803, 303450153, 657154950, 501293985, 348989774, 701477244, 1009286773, 1003096963, 1006336858, 1036700017, 695992276, 1059520729, 793366779, 913396729, 788719709, 609395669, 1008785156, 505088217, 791318612, 529171009, 535555725, 1056211434, 605683050, 399551132, 223455111, 547469872, 553787384, 304478209, 768807152, 115215151, 946962822, 226242285, 605244235, 195823882, 505739395, 782755650, 788702892, 399745421, 59483206, 940384491, 444908857, 145051906, 832608258, 112412642, 399649644, 55943218, 546001590, 212543897, 173898882, 393416699, 96631157, 579471477, 993302867, 866969936, 483477883, 509932214, 916930648, 621593912, 520079183, 1046083449, 747019886, 48569127, 615132268, 957690502, 951846813, 271169136, 883316358, 611500513, 392785870, 547778473, 681913720, 957287180, 264088875, 13973744, 351032094, 136847195, 259688823, 991117327, 745974782, 248980413, 287299267, 452313893, 951299510, 892612571, 450965162, 760496251, 676761550, 450064928, 547987125, 424736175, 315866258, 968696662, 509222452, 658257722, 445562190, 969707666, 536297874, 234694584, 778368252, 568237522, 490651301, 323986779, 349936040, 715442236, 890611050, 560109323, 859588167, 868543241, 322049828, 719705307, 119929050, 883289224, 249031123, 596000595, 638256876, 31102862, 611004829, 638376999, 419410186, 216248196, 465058266, 209072450, 820378730, 409216350, 687749829, 454193206, 219549330, 877728114, 210811704, 951383443, 226689115, 707628959, 269032177, 760270724, 834019569, 376240925, 352390648, 312712430, 524215253, 1032956768, 755368622, 1010432979, 1071297302, 166388358, 67908831, 109823801, 1041227510, 257019178, 39656287, 30206578, 467680374, 14148673, 373485916, 691338793, 212611619, 142937296, 4054323, 694523625, 523609218, 810981424, 329561165, 114319077, 960648354, 27528514, 377540538, 36133194, 272316585, 92654024, 652306535, 381659749, 141671207, 1029263952, 393052162, 40851118, 25858373, 978050332, 703871468, 720844074, 835447628, 133517904, 141816310, 205341396, 468128947, 966177040, 484910941, 124429452, 393781102, 520946505, 343027041, 356887726, 3652115, 821569412, 547420035, 412648219, 327919916, 30378186, 700186961, 745601908, 541895634, 1039264370, 1007019540, 454504685, 945866946, 678420160, 137514039, 240762396, 199010879, 763250272, 166084008, 380180939, 422397292, 979904649, 13932844, 457258430, 810598054, 553684730, 72397475, 937239573, 881363002, 1004090646, 93395875, 36388804, 432205071, 46088980, 906358672, 798077201, 90851984, 53593985, 919904131, 992561424, 777705730, 189575925, 672934262, 317062909, 1022249981, 216101784, 491456119, 935871446, 307473292, 12341602, 74672450, 773563330, 255476441, 474186537, 436671677, 297480945, 995589444, 795341409, 356035500, 439822791, 104824943, 53356251, 912231291, 719446980, 1034424025, 772945553, 36479254, 461420969, 708899667, 317277356, 708863412, 253334870, 194248398, 161065722, 350683048, 616671007, 247268220, 986916709, 279165508, 187882638, 599454887, 843428720, 283793613, 895491252, 83985203, 957962584, 638582999, 33697799, 652058749, 529511983, 280741525, 581843624, 364618563, 929650319, 602496037, 96553858, 964120113, 1056194582, 397905241, 578875908, 441879460, 255348481, 190585888, 762950883, 350626196, 462196721, 462007894, 929230889, 960434693, 537776854, 365688234, 253563600, 833141427, 874485123, 647895388, 152680997, 506075115, 636953290, 98602764, 388894565, 881634748, 623890951, 318518848, 336493321, 48846063, 1057863704, 995230074, 417836685, 65905236, 651267451, 356842477, 1001383351, 475685507, 773613093, 230202582, 760153816, 678646311, 55398032, 395652699, 386224585, 705085624, 725245479, 88852872, 560251904, 757156083, 282236400, 481915155, 477265857, 577106386, 467478127, 968452978, 465355425, 297778436, 1024386969, 547136534, 312757950, 1022325502, 617582260, 246299172, 1061333578, 860289569, 716660842, 190696670, 67427698, 927102472, 588196392, 1045825950, 387147463, 211344997, 821456110, 171144075, 1065294734, 1043598477, 56432794, 299151055, 193831893, 286210478, 487504200, 133100978, 675261960, 276195798, 427069361, 673691968, 1002014231, 1058588134, 671999225, 292450643, 785289018, 1058002120, 506827448, 463731574, 1051045260, 373537479, 283437275, 910615783, 998038094, 952603223, 286468094, 176525937, 970703129, 990957130, 68741921, 992003421, 897558196, 650778542, 408095761, 806044688, 659941857, 997489692, 531409865, 537412708, 277409959, 188475851, 432545337, 625021841, 793997049, 927788136, 682550244, 76584758, 1014525763, 972764681, 829190789, 869433592, 768720913, 784005630, 699949948, 181316990, 440856586, 791947203, 317190916, 1072763133, 856099278, 705720093, 891952834, 444261332, 1041605346, 735736676, 880994408, 701686392, 130464471, 369931362, 917551959, 924214282, 719008478, 820463058, 364864726, 6312073, 318027842, 790789968, 529964238, 37703711, 659042312, 235610381, 170146500, 448812472, 201371143, 1002040980, 165492816, 13191563, 824264905, 82253964, 528030183, 846576095, 248441313, 1016965080, 432047406, 294262837, 583079100, 720248572, 358274692, 805399140, 83564288, 544377612, 693213636, 990705904, 595194926, 542596899, 762480286, 913446345, 482312069, 704205892, 973428962, 425141932, 90451565, 701812925, 693707766, 962940006, 973652588, 253789612, 700824805, 268272161, 159136506, 262683786, 252316329, 167135997, 618312234, 396859123, 947164553, 837165469, 175643955, 144771654, 410687363, 141740120, 593902546, 463278629, 338044436, 751233284, 801517470, 869137336, 119472338, 94072352, 61270763, 809096997, 521363144, 269320960, 404266268, 990552439, 184013685, 604824767, 722684313, 477398915, 114393899, 314713583, 368458293, 996837270, 808475383, 1008647774, 674905850, 685311856, 923186536, 47038586, 609211079, 68507465, 918291687, 828817926, 1027902871, 547578625, 774687138, 35799835, 919949446, 925442411, 687256225, 200169711, 1021365897, 932147694, 87702236, 957972228, 168177339, 556271675, 56173277, 997833289, 966601475, 936581635, 541808507, 727684315, 1011052139, 74318483, 194473920, 508279159, 776129091, 331118001, 339018290, 57398123, 479815813, 351799394, 578629997, 665124306, 109153670, 656971642, 1056668552, 721547595, 995867566, 917089517, 1073241125, 65667293, 401531104, 149804835, 901444060, 41014764, 7153852, 165514513, 442028200, 324132556, 218339178, 771930918, 96182307, 1063716260, 964941820, 563213477, 189035621, 585554255, 103275717, 27121436, 344246548, 938808903, 595858743, 727195033, 621700208, 372930743, 818208599, 952081503, 764854459, 963474067, 431002410, 1008741421, 498012008, 508034248, 897369140, 866782296, 831277410, 39582784, 836582063, 99310161, 525165700, 1034507197, 956279692, 900550150, 604976993, 102238952, 406370944, 247098819, 619573740, 854530113, 583395644, 893570490, 454115987, 774579677, 1005722858, 48545770, 780542546, 316111497, 467657237, 409636412, 63254475, 160724980, 751006581, 536691682, 930837646, 994763133, 420150245, 266164023, 343824923, 730410540, 158654831, 915572568, 731757687, 948350121, 993408523, 1056284792, 1014107441, 193027444, 910757232, 775146597, 746260088, 891712901, 467385231, 347268217, 794738458, 645688746, 952137672, 26078474, 951003596, 137028272, 1068332837, 733505770, 787123302, 922207431, 63965388, 111016183, 463539414, 640985537, 739811207, 402700665, 593885895, 252461530, 602181271, 481271870, 1027956573, 988956817, 984973739, 557106836, 713342548, 73569304, 313684163, 336713812, 674596012, 610679089, 982585652, 440175769, 517868908, 944926286, 1067721864, 952028962, 330096344, 450700243, 831374208, 99609500, 31292771, 547923537, 1073179124, 522911512, 866970824, 419105679, 186918206, 181133617, 165875986, 1032858273, 38369527, 74748103, 1040910176, 500780859, 374885852, 918408639, 82634319, 39822564, 784529125, 392759055, 529711189, 670960169, 971757319, 204530441, 464191947, 1030230483, 484412170, 595036546, 938087085, 1056830924, 918095812, 748911929, 727281502, 255766629, 648526905, 858748775, 393988214, 781585400, 12477342, 308810723, 916896385, 582143345, 816967772, 154001728, 99037848, 275856402, 157105473, 74789769, 347768569, 103231902, 862151312, 1002990748, 703825164, 94909502, 389997359, 166124994, 1041600260, 245770485, 946365655, 263716248, 289491086, 502532476, 748990288, 198721879, 1063781428, 885750166, 13791399, 202096917, 785189339, 712657299, 328444453, 611350581, 102252583, 578359267, 239771203, 881581801, 163839589, 858318779, 753821506, 194674362, 350532910, 25632917, 815072709, 808244509, 540719734, 727646580, 583436588, 776804600, 940168159, 12297195, 523850813, 823403328, 506683070, 630741332, 517238657, 704217759, 1068715244, 700010520, 119105843, 686527943, 908415298, 882504453, 126874030, 968997706, 616031282, 602733726, 256406479, 232132628, 459746971, 666777570, 41836068, 164430620, 97893780, 693604933, 934749332, 414850649, 559310380, 603805314, 827291321, 348365498, 283005537, 497008863, 673062849, 646752211, 850210220, 613465170, 504666620, 390577325, 1024087706, 952890752, 197975453, 638224221, 7959005, 281989903, 1009947582, 1156979, 835532848, 479119056, 954358713, 66347095, 286206151, 632310503, 1014582373, 214823749, 349065663, 457726267, 413724386, 321370099, 503308536, 454572529, 35126187, 566072889, 946903421, 608124774, 677060998, 125578890, 715453132, 796494864, 999468375, 888251466, 348108357, 724477719, 830645169, 530784941, 739712507, 397139771, 1045183622, 683399654, 479400830, 895869601, 464170184, 355604616, 834271580, 665042659, 278012719, 853223827, 316845393, 108579424, 273707257, 162093936, 595482314, 147404714, 403644056, 448494769, 362523379, 1043321392, 51381997, 829295444, 518124554, 303008317, 884922290, 133893855, 667975279, 1047440485, 199120102, 164118226, 774976759, 82944720, 773831925, 938290481, 823914464, 552236310, 216341074, 726753244, 400329097, 1062556165, 639389971, 679259821, 1044269217, 296155739, 536170166, 76444382, 622946978, 260062135, 71126181, 286934145, 988856083, 748634199, 615936568, 457370989, 73502340, 629943064, 240207201, 850691015, 292340837, 256772149, 230640256, 942598780, 850081069, 690263058, 600102355, 721407700, 329907686, 1060791103, 161074008, 347527738, 291417957, 803949801, 961176552, 31105281, 662029936, 718571913, 687365277, 296228815, 27522038, 187236121, 382637741, 1059116164, 1062701886, 904098809, 359667830, 198198915, 572102672, 1052199967, 82145845, 690980003, 641963813, 687712355, 928093064, 564263306, 976449394, 247009113, 203983154, 1030480633, 1062976227, 915431276, 718307367, 324777419, 389290564, 125718001, 651044069, 972747668, 918941613, 922603132, 137394286, 488637031, 478505176, 498082625, 736656245, 477020414, 889858873, 968397022, 326009541, 654722642, 331603028, 338036046, 1040402322, 641201389, 503867002, 534356169, 702029404, 202508497, 942823323, 47514368, 601558477, 965360436, 464534668, 90656240, 1060547033, 505065120, 33543891, 129229214, 384171464, 546693065, 203349933, 178912143, 311497652, 361891966, 147473512, 919117443, 548024807, 299595474, 885260443, 380631133, 725811800, 473744269, 257406034, 740932590, 279245708, 1023828840, 1029027862, 590753210, 545578394, 191131551, 1018999398, 298176914, 879696339, 18891345, 164693111, 123084648, 1064151450, 352478363, 829144491, 638818591, 279440523, 446453780, 437004176, 75777454, 339023170, 453480987, 65732395, 376930466, 815468383, 638508265, 673698667, 562881997, 425756192, 400038025, 1041558564, 246767624, 964193251, 490229150, 937937879, 68980845, 1058463817, 276460003, 201306288, 591220130, 331744104, 10898608, 229360999, 541461872, 440519003, 9999731, 667751544, 858295922, 947185794, 278415474, 63341097, 262698610, 116404771, 29744975, 315295391, 198453454, 88294904, 735202928, 14845818, 897679005, 53741131, 255051438, 356101510, 100749951, 222256011, 343725341, 168153684, 526476409, 81220526, 313164529, 720245524, 141423371, 902766838, 55034459, 427929580, 683867093, 520148355, 528602880, 538637838, 866984234, 167564780, 377310585, 22611864, 523760047, 833379402, 548975571, 498297077, 497104076, 739297135, 631607576, 909262614, 392398653, 654188186, 515757720, 1055146048, 477135914, 608198375, 503757607, 276578854, 570923174, 498950838, 137462457, 6172181, 350331031, 724423575, 68927942, 84275972, 66976216, 920619746, 67829826, 821038076, 1022400369, 40335544, 349239857, 287416697, 90488091, 472133042, 634651541, 875256487, 914760976, 1032277766, 755192512, 117565804, 322322360, 168046681, 285959870, 396314640, 641021796, 877437853, 359113422, 848629137, 976876406, 293897073, 379633553, 973165564, 621123543, 384608919, 972629645, 261089646, 354903038, 1058937980, 278063243, 158895192, 462582471, 1044913448, 210451296, 334888496, 703307964, 601917227, 359899988, 929718636, 630146029, 443404639, 585038029, 777103296, 548569334, 1021938240, 602837158, 997754519, 115392956, 179214992, 267717119, 1020736235, 468011688, 809897932, 1045642286, 883128454, 1061748687, 454658354, 741373791, 657391296, 210349859, 599493907, 402458823, 787311639, 463646879, 615782914, 73458477, 638298708, 914346647, 704019366, 18487879, 1062988159, 542022750, 763748841, 307477809, 1053609849, 834229494, 190543688, 268828186, 397193862, 66476536, 714658234, 898182954, 439033336, 1069094230, 344485607, 625350761, 495596066, 1011835322, 404248828, 681712404, 913673237, 931481616, 933212432, 792355828, 235620565, 781122021, 571586356, 996694974, 67076135, 613964622, 464520975, 575404780, 325094199, 817858384, 918973848, 646919862, 707536896, 631849431, 336485428, 645349682, 667503542, 512772469, 489505520, 471059916, 389504549, 469975008, 227953632, 359442588, 1048168906, 1045413070, 667513690, 808488990, 809084375, 809192032, 849911232, 303406909, 609323635, 870746341, 298715960, 28491416, 241108613, 667437080, 39213427, 720921095, 504129749, 628299738, 866140749, 938174088, 839069808, 968018277, 433625213, 404599986, 275119364, 771619883, 17290374, 778868483, 543216144, 275485569, 260720545, 144017768, 458709789, 98270932, 849671837, 1067058678, 185568001, 895196312, 620763188, 547725892, 921273851, 385805196, 473896402, 528638706, 772044538, 948588708, 34736169, 100617282, 826083845, 380542806, 851478945, 648290338, 186269437, 148525213, 170361589, 364581345, 988743021, 437503778, 605954388, 514146427, 938793986, 255489522, 451570456, 721169141, 99978576, 510179466, 88199620, 546124425, 322000840, 195883075, 1003188580, 643774513, 63870450, 502771217, 714754292, 321854980, 154885541, 496448707, 205957977, 587599044, 403359658, 561272910, 547065029, 137774961, 704190044, 590393972, 636183855, 619360435, 982668602, 878357135, 174889966, 666847996, 687317793, 167128769, 382131102, 132460422, 656613560, 329061270, 368063984, 864046037, 20686911, 722332641, 238934468, 941782214, 5702201, 130458368, 519255708, 940288820, 101213123, 80232667, 1044049262, 265344871, 887158260, 672695349, 1012302590, 539568106, 234215400, 38760868, 867333761, 501376231, 690418828, 733462080, 44206116, 535703583, 813204019, 369650671, 474941230, 214431136, 506561767, 283209978, 93521280, 447737825, 116191834, 76413161, 1023700467, 678871316, 1070193334, 792516493, 434342722, 343447998, 817775072, 397494707, 84049259, 748607691, 656010899, 790249699, 182805269, 235691034, 303304140, 650992129, 495799425, 438897066, 115020285, 966669022, 77723245, 899097561, 686918284, 740363501, 84997806, 422128049, 211298951, 183852880, 1068451129, 42975054, 450518439, 524382076, 323645157, 248974536, 296486496, 784717282, 732532947, 278448869, 891831058, 304004296, 25886857, 89008150, 955473710, 1024353424, 999081718, 221499548, 141697504, 477951898, 466275737, 299313145, 746222166, 538811996, 738168355, 998050873, 242333083, 939435558, 354334001, 360105025, 3980180, 528435356, 970154083, 124387424, 555112813, 959062420, 1035812666, 144093352, 683765048, 632058777, 731846094, 452153421, 558920543, 14138557, 98771551, 806715054, 895923853, 633634426, 260442917, 179946131, 900538699, 1018856996, 677812843, 457006073, 136762774, 237784879, 1036754456, 997516754, 300525197, 888821641, 897180876, 540249759, 824099723, 179567534, 671536772, 37623459, 1000798821, 425937471, 407285906, 72177512, 986100609, 400422590, 289256424, 673543213, 508884442, 255720063, 825542274, 684108020, 86101286, 812224887, 375248328, 516950006, 158110202, 340208063, 232410009, 1021238871, 273188095, 814909185, 268486650, 479107211, 267869441, 855361232, 1008229061, 684224829, 107556640, 11604426, 143500112, 518248254, 326639280, 373122152, 931926597, 636705415, 445921080, 602264225, 25457303, 282260746, 512542361, 706461056, 731057491, 592352932, 16312212, 483474028, 287503347, 876031176, 962156149, 261006551, 466346159, 275504689, 612855055, 1032585431, 324721162, 697683009, 927126600, 301319058, 1033429394, 247028507, 742564693, 957901019, 987320598, 567668764, 875530640, 725950323, 547119878, 239161756, 976495813, 248757460, 234884608, 273322301, 131486786, 709772862, 258757776, 662492941, 27101251, 975546170, 770040803, 432516134, 978213325, 67581929, 1000593258, 1037319446, 411367293, 487352672, 330338390, 1057909799, 708843196, 715191165, 981159736, 230254575, 823052608, 79520988, 187472875, 868614605, 363850330, 1040403713, 251994035, 677148167, 229594183, 248026879, 127739151, 514200419, 231304528, 382478714, 1064098108, 698439122, 949996778, 1038783602, 882596180, 749811040, 445022286, 536153455, 413704992, 594834912, 928312849, 535623605, 655479819, 213405513, 904731893, 1044588377, 13061005, 239639898, 981786135, 212439099, 1038915069, 926311882, 1053537908, 391597097, 988652264, 242985355, 975277897, 969363899, 506324024, 518584315, 1046933233, 434506661, 1406417, 706730950, 580804960, 351933722, 715921276, 103477817, 130298690, 400163534, 973986833, 1054678632, 878937331, 530088371, 237916728, 682746273, 228608058, 391089027, 219203340, 406934266, 249097431, 827314157, 99559033, 417708780, 309131890, 47646438, 562991628, 647910421, 84405953, 797553443, 784970648, 1041276377, 263730175, 1005158414, 254582143, 466164469, 660041074, 515846039, 320785080, 289801029, 244327807, 980837240, 435646472, 881737672, 213385701, 1036616640, 890790561, 270803522, 1006557815, 7746393, 169105190, 186288292, 258310904, 264980904, 194242794, 846202048, 264128144, 870554886, 899428591, 58657069, 656320716, 432567273, 368187262, 1022953939, 497303536, 784109714, 951399657, 948179189, 612098445, 948268451, 340907093, 642197153, 261777471, 425116439, 198325002, 681671606, 157795737, 693411885, 679635626, 92648728, 210539928, 761030681, 224957699, 268948515, 1014660710, 890321225, 712434378, 404573728, 325715085, 222922157, 425273131, 740630096, 487748606, 489279555, 588125791, 194590536, 365972059, 625526439, 362818041, 616988908, 167660703, 875441119, 121034772, 285457376, 972499005, 383920244, 693350358, 769576111, 1047236873, 174282236, 80186569, 454842821, 367739518, 588573591, 350700527, 738886723, 670479680, 192515166, 868644257, 955607921, 405803281, 994063932, 907380876, 90391536, 830257354, 606534363, 994099182, 879319649, 399259346, 365767161, 86578372, 1018021709, 57041237, 919081035, 290629089, 478285423, 451314098, 526897841, 722149353, 577959942, 235686897, 768607502, 798819520, 476831317, 841823887, 921507119, 47814734, 547106789, 31784185, 226643700, 293184385, 101255705, 958222895, 533821644, 174110764, 712811690, 784667561, 189113848, 143652221, 605117239, 103307725, 863819551, 286776455, 776383869, 885016157, 107868782, 274947788, 38212827, 213426630, 137428026, 806791164, 965892316, 209209839, 13161080, 855468226, 431088081, 288973033, 1008010959, 287573101, 294939159, 766131273, 368415815, 539362560, 823441697, 818763569, 676734340, 580689397, 962719794, 665608557, 9126365, 455621582, 487208319, 840422122, 782641732, 109630406, 731089764, 681093771, 604051071, 1030373517, 1000792493, 46397392, 450020794, 294079392, 794989888, 874752964, 584520872, 633450492, 79185907, 166231795, 931552906, 696920305, 328420983, 394778520, 2604527, 56484742, 20787714, 123227826, 85387175, 339130575, 1067192217, 989131660, 577774338, 842401667, 901198045, 98292621, 729154766, 343762592, 753790660, 70527229, 306022756, 198423828, 565959376, 473815506, 209159568, 699306676, 157277743, 348783629, 35487330, 242344136, 610183223, 570324421, 392813808, 766519256, 1056642791, 136795718, 213529796, 489631392, 1006098986, 638924504, 827448407, 563548636, 552633311, 526016070, 953770022, 640538770, 1021429063, 216282406, 459832206, 687767442, 922095650, 184445361, 695103737, 961502500, 1066358240, 770454370, 1063533296, 859113970, 27913719, 351400783, 66771296, 396483338, 198734346, 237323341, 207019529, 926766180, 167855954, 442693366, 728623939, 1005252064, 68068767, 183970872, 952844670, 532458963, 935930909, 122762602, 170268395, 256121188, 618044983, 360359084, 405732212, 600052245, 970089240, 583112084, 302624655, 128444803, 721297943, 645132796, 854451063, 414955244, 473389910, 922780723, 1047917555, 319137591, 685461263, 410609080, 64455988, 470743555, 53960756, 765930031, 624417098, 539759934, 533575974, 347023508, 675221137, 106374871, 28940196, 797952255, 286624655, 601595199, 26371408, 698648862, 97364667, 532328703, 364431771, 141075315, 565127253, 236447658, 154056113, 274031757, 147764945, 527508620, 502664946, 153812554, 385178159, 861657941, 288870989, 770011646, 50709844, 522667219, 12105023, 393952650, 784398273, 684684744, 700266335, 975382617, 634064509, 918753930, 1046770465, 802990172, 604882950, 171142083, 591851437, 782702876, 481622, 350176361, 578516128, 371446567, 588223566, 159624973, 1009095349, 258585734, 124153824, 691796791, 235536427, 32621156, 486311136, 900495259, 1017213763, 502177584, 943136719, 443484696, 751037780, 884284677, 212520844, 403751200, 630882219, 760402613, 3385893, 242909507, 239047470, 677093941, 909600948, 395864800, 754377390, 814327483, 486453279, 232376187, 1045170090, 629820381, 80702378, 316462687, 168344749, 565244623, 7375520, 568484997, 846967123, 418808447, 835604, 740456919, 75381762, 666474146, 15967329, 42764323, 894214220, 518052832, 85957589, 116309134, 164209353, 561564798, 872395931, 672036989, 953036342, 420088526, 761682876, 510414522, 301681141, 312684625, 553901404, 984595550, 511499838, 324842418, 117011524, 873282879, 297054129, 472482841, 705867004, 673232298, 774435333, 376962434, 109004589, 806856857, 509558789, 381466244, 935158242, 1024199455, 545299743, 222448529, 361655006, 891524516, 900349205, 249490836, 553435343, 744855511, 476900691, 144466040, 57821505, 25070654, 109610903, 615518019, 769670509, 802591666, 172501046, 398604336, 493452983, 167807505, 452392451, 404243346, 390094117, 918615821, 588842404, 586207729, 490436952, 226181804, 96257866, 591489264, 964499407, 498057977, 690565294, 74571446, 277437438, 858693227, 1008736796, 656439322, 42244109, 512024905, 655230570, 272962337, 744747645, 159499764, 596641463, 314768621, 1073478706, 416509463, 460317278, 76908284, 1002272317, 772861522, 477544059, 241258501, 680562139, 175994094, 478554126, 985070401, 339370243, 923113632, 47762934, 211685367, 972511645, 511162680, 819901712, 536212322, 368825360, 166831044, 846139497, 815109487, 41042956, 125691977, 822382977, 304515987, 144389975, 234532421, 395530612, 402353590, 155538967, 919501284, 847599961, 788889182, 412736565, 354308120, 301611597, 539367046, 352355306, 588333296, 867649463, 485698342, 276711856, 154378896, 368875917, 432978074, 114549071, 862558729, 251138803, 270752299, 825736557, 248464937, 88753974, 759661462, 780040851, 113056121, 80150245, 284258782, 682724586, 388060355, 307104582, 52881756, 1042072294, 820286190, 151820241, 229982163, 226214127, 75643804, 683219412, 13140630, 782440970, 669961371, 246775645, 189248229, 558346451, 287857667, 720796546, 747385105, 394771449, 1033579988, 484541243, 328719050, 762861342, 92719898, 215334489, 354064266, 510869866, 78540108, 906489923, 710120908, 706324141, 299523252, 759865215, 1008100182, 250326312, 184906485, 577861958, 510464271, 630693623, 976580727, 208744163, 170014342, 264753521, 334625988, 553118459, 677724374, 613575433, 110199711, 977832626, 429313172, 936600928, 386986556, 51257895, 404952375, 403972367, 999397259, 747181871, 710664876, 373808092, 342927467, 399587214, 620672266, 81874237, 179719743, 736557027, 415907825, 427882954, 67074727, 943726115, 855839939, 77337953, 969559654, 219083069, 1038186109, 565024599, 449988867, 612808137, 405385656, 312180368, 410061868, 902817700, 956795902, 832543872, 751907105, 1054038127, 510209553, 1051163547, 617357995, 452889203, 560692217, 996996273, 769504411, 614016743, 493569603, 646895561, 459551784, 778805688, 1044931677, 833988530, 373884025, 243471468, 28875468, 963055334, 425939320, 935061274, 1069898508, 573023572, 661268075, 983343507, 937187227, 903960445, 140970418, 555527502, 14630606, 20952750, 1059739382, 1064102515, 1027074198, 882309485, 503027873, 850459174, 567350505, 76532012, 1071201793, 810796333, 944890270, 780647335, 8333400, 751534682, 719273796, 927646694, 709051303, 586986372, 987369084, 580522231, 891431937, 1051839027, 173444014, 154355489, 248747546, 496710814, 201498521, 993279757, 581643568, 44407160, 701010925, 821078002, 904636852, 49890525, 835218435, 346679867, 61338864, 481397684, 613037487, 77218025, 746628901, 440127514, 893835731, 158767243, 576114165, 894611429, 539320748, 484383975, 279095835, 40466448, 465510278, 787732216, 871064139, 624090161, 74559679, 161562067, 521469885, 750800618, 781926237, 708587433, 609214530, 360504466, 199413830, 967741599, 558658110, 400379365, 433168647, 399964592, 899834339, 404163753, 649608398, 923031722, 445004661, 682405904, 615934571, 744249685, 728391531, 1035164577, 942930616, 225718846, 574863775, 446772483, 907586603, 374709831, 776272220, 1047641764, 827661944, 1071296163, 805704191, 764487141, 1066477469, 9638107, 39275072, 664027352, 547982863, 479009171, 6861967, 227987021, 758145426, 35108836, 167385455, 34295364, 69920219, 136083951, 17662173, 111774954, 870881489, 463645745, 203745163, 1004106687, 567136831, 161741557, 721169765, 711362825, 819757246, 899790827, 728385154, 714735392, 966224100, 677508929, 1061188797, 1007846765, 221476810, 710064872, 545054243, 381494111, 815027313, 886951046, 480580920, 496230279, 870514552, 188416574, 480759750, 101540827, 458687202, 728299921, 870805614, 275421263, 607529180, 504659490, 519311849, 314017598, 561454622, 494213919, 721920854, 383275960, 126583194, 660294629, 191858443, 253947651, 271598494, 211190669, 633196026, 930388783, 216800623, 203548768, 353085419, 817022245, 509966280, 757716359, 116108846, 775044055, 157515077, 203995749, 534200275, 964840997, 187992607, 849719433, 101815224, 580724140, 108938694, 390493247, 262019952, 1063179691, 106615812, 811151192, 537137669, 942118589, 206839520, 818829416, 681122368, 290476949, 140332021, 774837578, 680789111, 110414537, 335428795, 542207490, 858032294, 600566829, 227912640, 800954512, 116626591, 1005485845, 394067802, 435953148, 712135046, 348516491, 873227789, 369114946, 206053993, 63196178, 291950323, 104478635, 557963156, 463177816, 1021539466, 210319883, 946988306, 211418001, 975741848, 129248792, 376573797, 571343361, 1057421850, 654261022, 887566480, 484384339, 888061958, 45331913, 73629277, 382807380, 48700431, 499777111, 120759053, 810749072, 472008866, 681751726, 568583354, 267908059, 826023418, 459247778, 809457046, 941111043, 104331461, 97837166, 33809761, 316927903, 922456870, 859033664, 295554640, 572383176, 284123980, 118463913, 803491705, 485216519, 553539128, 728848053, 281636682, 861658320, 694539248, 749031315, 542941774, 755732279, 1050600153, 700823693, 303660582, 637279009, 888183706, 867563571, 664214941, 158069806, 205226625, 957639697, 158199276, 532754715, 944255793, 543945283, 793505189, 343369534, 359584076, 882862251, 378723860, 489999500, 779426795, 261817253, 1042656518, 989270951, 1044655422, 626415224, 1058308040, 850651274, 226025029, 13739221, 59110360, 515861462, 522127790, 221309842, 466922189, 264279585, 566486259, 271293519, 1016837293, 389064403, 392430140, 830154229, 976782740, 238856124, 711029193, 686973486, 307760480, 103247618, 103373310, 577881322, 877410018, 715292759, 587790390, 984713071, 563484471, 1057808102, 698508351, 557591836, 627762193, 649346265, 933738087, 1014284831, 420152880, 355286160, 168078936, 393852042, 482791316, 65119859, 672198452, 626261257, 437334348, 908224021, 574313242, 1034925597, 165928570, 614203023, 109496059, 572594930, 299643847, 86493821, 281310491, 312298032, 211683432, 890248589, 504312375, 690823736, 925216063, 855554073, 193068856, 126922715, 439682293, 622357992, 1067564634, 539106893, 569371516, 344770542, 656331692, 532426019, 680412691, 239794978, 682967319, 645582733, 90047161, 54512900, 797251771, 911364668, 35357005, 414294357, 818620057, 525940240, 635108346, 695960270, 293358005, 132165546, 345813512, 20177932, 356368853, 55627371, 957989177, 214622713, 601259283, 901311071, 776750583, 262651318, 569920192, 182596063, 463066155, 86395636, 111778370, 918442115, 158653234, 23847234, 671012063, 615222454, 438280070, 583262098, 899092722, 92230698, 838989608, 453816976, 980175058, 848896168, 892908142, 301081545, 523999976, 755505592, 509340754, 166217599, 911374606, 857101368, 717189520, 50566089, 339156209, 848659133, 50254560, 950107041, 191032735, 208824330, 1057505987, 466148663, 999607484, 624079425, 911771068, 668964100, 882841106, 880417955, 839649199, 435080031, 947417335, 646617353, 769110523, 110211188, 343806719, 945983563, 696645653, 868963375, 979285622, 726113038, 511433409, 322504276, 532678835, 196311508, 28552917, 869080217, 904504344, 467276721, 984839659, 1059657717, 540423558, 900623809, 589272161, 399059265, 49816967, 251926499, 684803659, 337968388, 47732210, 773387719, 4078666, 582025917, 870732004, 120672381, 802541641, 718500454, 1073632275, 133058986, 457357538, 949503563, 419669314, 447016318, 903364805, 517432924, 861783692, 218574887, 668931187, 55010270, 444344305, 275039457, 113962291, 315109661, 898498218, 468519164, 459801093, 175549627, 820462836, 1016948180, 822494178, 617870031, 23035952, 677091538, 724077159, 548015498, 649909303, 987062341, 1049362361, 765136707, 646877931, 840255397, 80570368, 1015637, 357129242, 786785249, 691142205, 742266108, 807454487, 642099711, 896531138, 1051528766, 643169330, 172306545, 399366030, 993523844, 27652001, 756204118, 96844483, 813747043, 192135635, 321113910, 183968482, 740671253, 478380232, 760496047, 425907365, 265722847, 965329451, 519237726, 653762911, 585583883, 119578222, 549086128, 630292088, 21058847, 187135917, 626352142, 45270715, 383030022, 444849366, 176815252, 620286479, 518190532, 181188998, 830965738, 18473281, 526816506, 163070322, 224573865, 272096692, 481413861, 79293772, 560150194, 239342877, 4216640, 1035559056, 400599739, 281966324, 446121742, 708478813, 319889262, 697015233, 995773383, 941704098, 434007014, 588373299, 767484882, 975523847, 507871344, 325988496, 668773928, 728747182, 640935619, 700376744, 673311221, 1069895008, 24137500, 448751060, 1027720508, 574515399, 1041716563, 104056036, 1013511261, 933602185, 722894212, 882276259, 734614677, 490486199, 87479411, 1009786404, 555944024, 235705335, 406903090, 272522534, 244244121, 736157010, 255603040, 149373764, 217849869, 113731695, 372925702, 374916084, 32043874, 214131021, 590919211, 998113308, 387754115, 115503488, 551437163, 738190987, 279191637, 42709804, 463807238, 51825335, 86259605, 986894465, 774963944, 40329016, 902759062, 173454321, 121831410, 744870621, 553598879, 420321740, 202799337, 91881916, 909501970, 831709494, 237088036, 499996020, 281875039, 528300004, 399054689, 958244978, 133324093, 248825157, 725122373, 384595504, 274656351, 738510756, 1069870736, 1057937882, 736596053, 858725516, 1049326761, 190675731, 601469467, 263737844, 681276308, 778333657, 590944172, 381369545, 776992146, 805435358, 767090533, 201970750, 1060266301, 165795704, 789178944, 803299795, 957871041, 1052586590, 579089898, 568829815, 86657867, 371002450, 428696917, 46881290, 52802299, 859132445, 303183687, 64220668, 25361653, 848884434, 161692801, 307353932, 936511548, 1024456023, 231812837, 240368522, 764147338, 685509965, 32114530, 197322835, 578076278, 258116471, 889424276, 998614282, 254950497, 587739637, 375218350, 522023078, 974687795, 956252346, 976012804, 323762749, 341048894, 463665647, 910121752, 6265233, 163476255, 977386564, 444148461, 937001350, 1036261233, 596025721, 898890300, 623463435, 881725569, 229425191, 837410698, 267901842, 352749914, 122282455, 16919281, 487014956, 189251751, 641400593, 909255888, 983625499, 479757078, 14969287, 760039920, 62973641, 749076769, 407884448, 208892792, 872265843, 197539905, 797474596, 27306715, 309761528, 327309844, 173583035, 162280327, 93731157, 56506898, 123696549, 566549696, 577242262, 381612475, 650365680, 416141977, 599527542, 892734003, 236676716, 664183312, 728135657, 541421900, 1015271799, 214953660, 379120244, 234439526, 997046034, 764820340, 448223659, 436050770, 311117719, 589990329, 88014481, 689880058, 174258041, 308122769, 92502238, 465463016, 371268971, 473948916, 485313126, 889585532, 389628826, 83793122, 524046681, 193558383, 339831089, 352451539, 951511904, 244398155, 111278773, 767544477, 560141144, 552583365, 89532858, 836012327, 159596335, 34123667, 803087764, 273974462, 331121271, 461614536, 610092232, 908367855, 100926767, 367813106, 640694089, 567237630, 485014474, 955413350, 640281303, 92680743, 492579160, 547626574, 885329317, 404977242, 302560136, 434534056, 795510120, 400776440, 1030162998, 755025221, 1069245403, 186581878, 143893913, 570558507, 827995284, 994472798, 87461619, 477770837, 486182478, 80920049, 22658399, 624377025, 1031384127, 381967874, 680814126, 737242942, 27793874, 494540536, 676416713, 503059545, 1002170996, 773771203, 256216871, 553067065, 1038943819, 651094213, 1047128450, 123432325, 210248596, 911033691, 380713424, 383004222, 605845225, 1012532499, 402446164, 507324687, 353077248, 1010893243, 501728437, 810008919, 781262381, 985331003, 1050499035, 80777715, 41717207, 1072780880, 514613241, 854903681, 300592777, 282301871, 243142888, 237647912, 875317411, 113490712, 374491225, 750197915, 134469476, 998653892, 376040984, 908619230, 144414256, 88420793, 961186059, 749197187, 1045740849, 350400558, 584366953, 939337059, 858248288, 1000918156, 774734709, 200137563, 673153325, 234038208, 113636348, 901250396, 618489414, 727814511, 164027962, 120977142, 548636477, 382474942, 51560594, 284712125, 408240958, 327732597, 623098367, 26938494, 739607149, 761542588, 843376460, 716044208, 192998511, 888946869, 1041399615, 57161034, 905449073, 386797439, 311084531, 687882574, 501912763, 298454981, 640632313, 873849399, 863442230, 620800247, 536735309, 1065195598, 1027881800, 994074425, 498474101, 916089173, 959981641, 1069353225, 128397622, 1034411230, 335575612, 1042866615, 256059213, 1010583035, 676825703, 995909651, 361239625, 1012427557, 137194717, 1047633936, 665044398, 365248952, 628024512, 750167517, 159219594, 440754702, 388287316, 959298016, 510982577, 410286566, 349578072, 888267061, 931119620, 696552684, 937216452, 250435114, 869523151, 578708816, 477624578, 838218630, 934636843, 914111191, 175634232, 841510939, 656366778, 1002637715, 52605647, 33373058, 579206530, 592060559, 465851164, 686897206, 597054235, 284072606, 66562277, 890215089, 1022976773, 18094406, 111535562, 302628081, 1060880193, 449817298, 585338278, 682433852, 230665853, 604748293, 747498119, 213770910, 753351361, 526872684, 1011298098, 479204096, 211182221, 182086584, 428308852, 246565499, 101760415, 861364534, 124736856, 825327828, 771305682, 224777084, 637112647, 993811292, 685039531, 389839794, 451107795, 772365072, 374586621, 336439722, 419675522, 652592329, 786917153, 102025051, 1012019323, 1043874535, 1037092497, 939438494, 491808833, 856527696, 991905825, 217454400, 209618233, 1019123916, 90329853, 1043686117, 735766034, 334050100, 347963628, 724926709, 660289348, 281802605, 311006225, 976355865, 250198542, 935356746, 811653725, 588429572, 59784986, 397181576, 596842647, 80891680, 488289555, 784351314, 1024850028, 72728672, 251050778, 1032795500, 445538806, 987460321, 176486521, 487708417, 761673180, 880963334, 105764178, 635461906, 709231195, 623966698, 715459840, 4745214, 947061462, 393445440, 548666291, 945029670, 867601611, 884322716, 909532704, 366636749, 657837667, 894296053, 288078307, 442275046, 683613819, 752563300, 593331698, 537532031, 1020696865, 929414294, 772848049, 553651067, 1065611834, 227074816, 1014389245, 483977541, 772146138, 81839632, 758646832, 440210528, 664005657, 353806158, 1071154443, 741079899, 809455596, 431620636, 677035751, 329626352, 851385652, 417825398, 192349504, 469574714, 179354103, 726055849, 833292314, 538085714, 329561116, 681677671, 441651341, 799420426, 1010092439, 1006288406, 402933708, 83056836, 530214478, 573206678, 757145016, 825901841, 187722855, 110786157, 1043064497, 765413254, 51755584, 62318410, 988327278, 271385845, 337070187, 76185425, 368841851, 449588315, 132398621, 998659664, 116421123, 894242179, 935639889, 183094584, 372178860, 229180620, 1006466074, 112646087, 349450469, 1040354630, 820851006, 545477849, 628618592, 986440105, 519961189, 594686820, 214255360, 967482133, 755144315, 275081491, 515836839, 696819279, 170890045, 1036110267, 295024510, 406320640, 576520412, 838625952, 66770040, 471364952, 605763509, 937760908, 1049272741, 662460952, 807571360, 547153863, 1052916574, 283865101, 509110716, 186554123, 304723457, 564600061, 701980656, 545519309, 694361919, 273015690, 802657799, 645593229, 274502916, 65077020, 411139844, 10532279, 887067991, 698493041, 295779097, 505008495, 778680577, 156057925, 594140629, 599017716, 304465579, 711582560, 87437129, 535870414, 597540912, 414690987, 94914269, 844328152, 514854071, 1029750070, 883391582, 943795068, 283651744, 1055074894, 345191553, 530921355, 340358551, 627709513, 555114899, 655213337, 566632291, 529772012, 113415135, 251166695, 894330589, 614019436, 11653313, 618227609, 348216149, 851481414, 1030203775, 390822798, 649621955, 635066127, 537537754, 918813017, 270036974, 381258936, 329414168, 723202621, 463630510, 823268084, 42777757, 756633609, 107934503, 92488510, 631979074, 839975760, 971349459, 416450671, 243641315, 428322742, 738925024, 82361827, 852719106, 87555631, 325305779, 844493185, 386452196, 452515433, 513632622, 499687702, 1022704930, 33018054, 603016854, 109115876, 519537596, 108994817, 1030889281, 91425870, 161215347, 614255616, 460836723, 798931744, 463973719, 70396499, 232946851, 384973752, 942287173, 942375835, 523475761, 886475053, 178748465, 191027420, 955474045, 114980051, 133243217, 905087950, 44298860, 123047722, 733122271, 312115461, 655946566, 911762001, 395752702, 42479538, 131350949, 993872101, 730235324, 343689375, 204475307, 26178574, 169208765, 678600461, 548286552, 870002255, 370840401, 511573447, 778097693, 33815371, 977108292, 654858470, 465357108, 620116344, 799798234, 216405266, 13514473, 227306142, 542870339, 886968666, 859439630, 632254738, 374417048, 473600709, 496730740, 900882717, 344690857, 836749812, 434606145, 839616676, 1064496695, 253066994, 768493463, 761220111, 773984709, 153341996, 1060089734, 572653467, 455049769, 257968171, 217295175, 298626514, 256096278, 492697536, 572620227, 24969367, 957419609, 299355354, 196165052, 244490575, 120534652, 921451051, 554002784, 605619823, 1036679872, 406767915, 709237292, 56095153, 623816238, 79110710, 553758594, 208347105, 172099346, 321524167, 695219995, 1020857201, 539716772, 665314250, 222443423, 305526884, 951020927, 973711414, 95488838, 252545829, 363533221, 652506515, 496925303, 26388897, 49598412, 496661680, 515241632, 569756023, 667209364, 235461577, 715605843, 744172812, 325059216, 460089759, 176620824, 719288762, 502691913, 1014232441, 45122271, 62183587, 199702131, 306492266, 519407962, 794201549, 411646292, 654436932, 183643304, 891349195, 987400698, 564869527, 413007370, 1051058688, 193434121, 859682611, 70533836, 623340929, 717850047, 794339379, 319355242, 676352347, 850169727, 325663357, 935909367, 139627235, 358655677, 505489306, 638216089, 755974121, 174521598, 1001514808, 1011023196, 740454013, 949383332, 971153490, 864850781, 959210800, 164306202, 540779047, 114949632, 766422275, 836247941, 662424651, 538255152, 1013598828, 389222951, 914003515, 913849973, 592584933, 260791027, 152961235, 874399075, 255584111, 201614022, 960413278, 940600217, 344946946, 149907127, 578608313, 825885095, 163743496, 403202340, 942145091, 180476015, 532882862, 561880193, 212597020, 967892030, 934279036, 1046046504, 758896689, 929810995, 1035838230, 189674124, 711049664, 540096148, 786361576, 154791545, 1017558803, 1048192815, 45966673, 637537391, 321404744, 648657351, 544603213, 889499858, 370627309, 720094690, 18701312, 182463480, 675391996, 392848935, 369120729, 767855597, 334805330, 324657060, 633781753, 668067071, 148633007, 602037547, 735965921, 407536396, 150354912, 930586759, 962604948, 729925710, 404748973, 1058414354, 390467466, 475296653, 302662946, 387204995, 16955219, 486373404, 367744518, 1033124995, 998958826, 635935870, 835677776, 27100730, 824428212, 217870584, 616266633, 199063927, 180563189, 60096524, 605352940, 1008458104, 244457501, 980227358, 586170391, 22411248, 839817381, 293738630, 345830593, 43649219, 951187226, 1070881015, 442107337, 998089659, 813041783, 396452270, 155958622, 122749894, 60831195, 904895130, 1056159672, 456393878, 515784182, 288461354, 762771744, 915546505, 730446953, 465777228, 50847696, 1016095024, 591020747, 545575649, 707522624, 67516399, 426461948, 170421917, 1054944877, 226629373, 910779903, 688663739, 1035688375, 631009311, 618989213, 209584878, 83651295, 442921921, 5242111, 974321125, 308253737, 608249677, 814435467, 746169012, 699332641, 733062235, 894664012, 626064237, 353844682, 410471069, 726761924, 353447333, 717005581, 893179471, 386757624, 723971123, 390106714, 722019444, 520152360, 317270343, 769790500, 777773028, 365081108, 359842277, 383685676, 611389664, 895068818, 1050551201, 901574667, 700449514, 301852654, 830122105, 348175831, 169029854, 296379624, 589558888, 975745769, 752374562, 278278854, 31861244, 576375343, 845781437, 53732754, 223357566, 1016692034, 981143578, 1048994474, 273229970, 347563880, 302891429, 551201560, 96265147, 250455237, 288634412, 32494764, 1033065689, 397563951, 246554200, 365688440, 504314438, 613184525, 63876451, 290942713, 647524525, 554758686, 675619841, 1034057876, 1030758326, 309613983, 286759349, 548207161, 140849815, 697342169, 689778158, 240950871, 212494171, 865228780, 626464779, 149286289, 1040130490, 825076714, 145327513, 910434516, 330880011, 146791278, 111861084, 44751542, 1003327319, 738213011, 570014834, 156856024, 170504621, 51308600, 590354814, 236414032, 550306755, 486232661, 321468517, 879255925, 798905909, 152286815, 1007529321, 964313920, 394802609, 519921790, 824596037, 479599849, 84675470, 663861419, 142413161, 240647493, 505274556, 935408677, 738611268, 854160825, 741976743, 457531278, 711187205, 300053963, 572591524, 810715107, 194748225, 472581596, 717941194, 623867424, 173548006, 417848407, 1022033971, 742311266, 418242999, 65169057, 784426475, 912922954, 118904834, 514109126, 265923821, 301539806, 248505798, 535830023, 430380786, 440111824, 132687004, 265706102, 546845412, 764738904, 38613966, 15953452, 242305354, 109841585, 897501811, 394850047, 763529013, 237514675, 894312323, 978720052, 420553491, 364175812, 995669801, 267505289, 697152142, 861755845, 801292715, 840258, 1002962352, 203781238, 254541413, 461804732, 964548504, 938455198, 253194073, 324938224, 1042107119, 343980345, 24389475, 626530341, 618030159, 565055522, 230254226, 762749218, 844009694, 321216281, 492308735, 260065450, 904249467, 73908829, 810849370, 877107347, 764987353, 779373802, 546845200, 284538946, 21901320, 521120574, 68284424, 155499052, 439910010, 138033746, 837000230, 982611808, 558960721, 863332282, 647079359, 2416067, 437286267, 900075766, 85657305, 690158581, 935552487, 977790727, 993716910, 822216908, 730046468, 688738492, 405457899, 808195886, 610824963, 721084331, 848251410, 683021218, 741784666, 369663836, 916168970, 1061833516, 752003356, 130733850, 385845472, 37174362, 553754185, 1036959661, 823435650, 389900401, 764259910, 692776467, 918214087, 556144754, 614071896, 668244426, 1009942619, 1068341422, 316899255, 34427300, 938572042, 182235563, 120117149, 653026218, 970114315, 795909679, 173880611, 876323560, 496788196, 378028375, 644816161, 464144274, 144923649, 37503526, 369411345, 446822601, 225788869, 993678203, 51426052, 6422245, 693793210, 720786407, 131216094, 645243519, 743846178, 121644150, 787736522, 78220905, 198659020, 411435644, 1039181368, 1001377704, 910146169, 879511471, 570551137, 596257086, 665836824, 515036244, 215428953, 970517150, 476469649, 67920628, 443838776, 880244128, 725121156, 172364695, 188890330, 27009744, 244583715, 968342790, 356968271, 918016279, 66256573, 650407327, 707301281, 426696097, 980680566, 176396575, 954913983, 1068580191, 256614917, 133685447, 440586279, 801369802, 751717830, 120014961, 225298263, 495614499, 79777455, 692684937, 951913163, 726398046, 577477277, 57484370, 823588329, 124986003, 944354567, 8300865, 715252028, 617317861, 211521517, 430125209, 240742523, 558064279, 625844236, 236569359, 555239892, 945641992, 244732897, 1049967955, 553579305, 574989698, 718512162, 667930754, 1071112515, 882629660, 19804684, 523385867, 493651600, 347425299, 990959650, 986841762, 478422768, 256292084, 758186894, 926483932, 778884723, 651834883, 271650979, 222096080, 480097033, 339062056, 981103403, 135554889, 315224251, 176219734, 814330871, 693969855, 550037816, 643358578, 634520210, 716903514, 807673712, 567639067, 166166588, 855218724, 535626415, 194575789, 63711579, 860457951, 1062966888, 178386453, 808241362, 603660558, 333501900, 617155104, 580606439, 662742210, 76862696, 1029164887, 830842578, 513786494, 35370695, 575976105, 953372813, 382065179, 175145795, 1058334338, 495243182, 852097896, 66567398, 963027088, 65264432, 366229373, 44338330, 1073102055, 157588011, 961819622, 676533793, 356828874, 176935872, 321334977, 458753489, 382892876, 1040616757, 1042042707, 968481397, 1037457682, 787273135, 336569614, 528823459, 511016310, 257511987, 302042141, 957646602, 567883790, 393423872, 85869068, 437843700, 934269561, 815332488, 621084507, 364431586, 1014162633, 774840897, 156397470, 429424954, 289576569, 1010215035, 945612651, 33367753, 20376178, 996743454, 878598195, 596080820, 992428237, 555117305, 473617947, 940526414, 325561464, 1040733498, 917366804, 926478244, 65164446, 837682533, 336954491, 534957463, 650581904, 433505378, 542641075, 786219388, 672268512, 166565239, 399727674, 72098642, 677092986, 239347854, 879593623, 513378864, 630178799, 840578841, 37176247, 163904392, 364698731, 1049993891, 625163645, 668179146, 676639206, 772069567, 312067667, 428967192, 58884352, 664131287, 274089556, 58170748, 414351665, 288782184, 672998637, 37379947, 489259366, 668307151, 224647934, 356179331, 812047413, 853513489, 923685685, 788635278, 629827150, 199653427, 256901023, 248818036, 713081505, 448444241, 324791583, 905362389, 998495828, 844451351, 1030806998, 695169451, 438235804, 921358647, 760755791, 520726662, 476947665, 500655720, 617904133, 919910848, 58050996, 276695751, 503219924, 53156669, 122118209, 260281023, 700032137, 4352767, 869602743, 934148752, 348911835, 1061103931, 43997423, 882544492, 790808100, 99758135, 524038890, 538928355, 678459826, 129176670, 940211892, 71407720, 76598989, 198479332, 788419140, 749147947, 335006275, 406607801, 255734454, 834714519, 330300025, 773571911, 708613992, 746758297, 363551413, 1011300858, 988695802, 902261856, 224849611, 780381091, 256282924, 910837060, 437395079, 399670537, 343303635, 890324781, 613702484, 115471693, 722602057, 126522726, 55274257, 28870749, 168814188, 520117876, 275753999, 575088799, 18572582, 619568638, 614859156, 478705269, 1046987331, 511685728, 894930579, 1053946187, 688492484, 205057689, 957604147, 123438670, 771034604, 865770199, 494273137, 282764418, 507939116, 78999848, 31972202, 876910572, 1046092369, 245364833, 512355952, 512503922, 395506488, 174764481, 669918888, 832428234, 626112241, 862886954, 484797524, 228276568, 680213115, 631041442, 216527861, 172834018, 775282232, 137700647, 7114595, 90930758, 834308773, 397310619, 391031553, 332309200, 949932483, 164824218, 298761348, 195658169, 484580933, 454322954, 154704616, 823547262, 309577349, 790490851, 605840568, 9059640, 765782184, 271408432, 1028325503, 304035787, 8468524, 808623203, 240326045, 240763829, 829676989, 916765226, 702509341, 82064014, 631462480, 1037148390, 273437525, 341967737, 251746083, 418053467, 634570135, 250068997, 748196714, 72633279, 161977276, 816071952, 1027374077, 507582078, 132674610, 147202215, 962977787, 169012451, 913858325, 688267763, 746852187, 944848085, 893273346, 775348198, 253208939, 166698096, 754805251, 1030155842, 383850063, 722274857, 751292186, 340496119, 968741436, 811491208, 782019354, 565305908, 687318977, 185848656, 201085494, 1024109232, 18178094, 342323845, 422719192, 868664011, 179480041, 294877995, 316404340, 18482306, 1040900350, 757942954, 691381536, 756479161, 129291959, 790641290, 517244852, 3742276, 158369239, 460336128, 316648570, 506340110, 6564608, 57863693, 429431740, 535550924, 91088224, 1066144712, 484817414, 947520582, 120412379, 177100313, 705319663, 782793893, 655941802, 937123141, 240407821, 257658278, 418082542, 3183018, 937680744, 458624275, 775795422, 100253629, 427699768, 414543989, 683228656, 57444893, 312511180, 377680961, 514113104, 365644429, 128397511, 205853608, 534595028, 903419856, 999048581, 529077373, 18276315, 826969367, 459104134, 614547859, 68769448, 673087840, 419759899, 397402899, 598795917, 656787465, 93774332, 472175436, 349078214, 281768888, 785219718, 749797027, 164587814, 47775019, 128837936, 349848605, 811686480, 948197173, 192543999, 107258448, 286940115, 791833993, 236183300, 676897025, 1068949369, 974701021, 907011798, 770554088, 321043836, 302597625, 102274932, 220268738, 899800008, 193876807, 924658309, 614257197, 291785883, 62344249, 468395274, 706627999, 566654535, 986679368, 630081389, 322653897, 1059111463, 527005949, 583545504, 626158425, 478779919, 900160461, 751893168, 1059281252, 587922751, 36007661, 114097187, 687056093, 909140658, 521093905, 463897049, 875592312, 116930184, 980655968, 831915974, 387263079, 123252670, 672328610, 576512329, 105773970, 930028756, 138260643, 515247049, 918749427, 1056379164, 550335094, 637921556, 569286165, 661744419, 312466253, 737973063, 613695963, 821083164, 112096890, 531941654, 118982323, 647568129, 1024283089, 964860944, 794628237, 760159490, 56931626, 661581928, 969717119, 934390213, 519606031, 299565949, 425270278, 106764388, 973737332, 680630210, 58369717, 926439907, 498335651, 615387275, 566343771, 1055701634, 959276204, 668320054, 698191346, 605276322, 576512121, 1042900320, 706964818, 779532230, 726067016, 595527137, 950434205, 828755402, 378530266, 926423698, 724832676, 359898290, 374213502, 872668586, 897718450, 678636415, 865118095, 858497811, 813556814, 540629954, 525384428, 397056916, 832429586, 96156214, 924557804, 637712721, 103550177, 906639701, 101614043, 833198187, 59703289, 853619310, 226398378, 539488361, 932796801, 773122606, 668643865, 725915654, 217038614, 874888341, 382125936, 289162356, 610418817, 446405173, 770997977, 1005203931, 432266783, 353768980, 628269638, 649301900, 208733301, 380045099, 119503808, 525888437, 632157304, 58858759, 250778249, 407608278, 595281115, 276204875, 344077449, 885671562, 698517191, 812399274, 517183369, 606473639, 600549105, 354049405, 802122769, 964239917, 868818383, 475061866, 393225938, 1042473966, 579896243, 345256878, 675593232, 479227656, 358963272, 895412581, 675879139, 169214112, 271225624, 493721873, 1030702564, 117209916, 378810919, 393206621, 892704425, 824452848, 317181576, 526472958, 949226852, 974016870, 496910533, 622514087, 839568571, 210447393, 976099071, 393324231, 692300502, 634285602, 539481089, 306960242, 640987339, 663986531, 365045953, 322067347, 586709872, 593870033, 813968679, 787419592, 842250816, 1031302504, 857044533, 1009630858, 963414008, 776172342, 871918253, 704781948, 116135046, 127683396, 234330459, 1002356319, 724748200, 526889104, 295199401, 995703068, 727660081, 481195992, 291178540, 966694119, 883887159, 664301220, 155966751, 970394357, 206076339, 624962524, 78224571, 742006820, 1039103969, 464349517, 965494164, 588198216, 137189656, 113197224, 198537316, 237906271, 1025546889, 983295981, 989813264, 847219321, 760572776, 311013704, 180264663, 115639787, 12991871, 884987812, 777143695, 365599156, 1044226452, 818649594, 1004054813, 236958463, 1031152504, 723581061, 800194369, 47280662, 266811246, 923784824, 218461212, 615932137, 294710582, 339006446, 628220640, 268048858, 407829384, 135090295, 175974069, 420206664, 480739391, 185684342, 701539731, 227493518, 700698098, 131385229, 671818241, 838234049, 57619506, 531346911, 436996585, 175279656, 565584931, 1024079679, 761616315, 110530096, 446589460, 827650958, 121754071, 417386905, 1018669382, 578077273, 926625015, 64354456, 827210339, 414981335, 56627318, 821225845, 360747985, 373773845, 573225621, 1001683846, 835578954, 868887974, 275998480, 382585095, 751328803, 420511187, 201012007, 572656721, 1063789844, 903790583, 384407340, 80264733, 605751064, 464486413, 926844778, 721683866, 589301417, 1055651476, 966775953, 1046843469, 881173016, 986257712, 405294021, 1059347226, 608403166, 419781915, 475872755, 586527227, 361000568, 691086325, 986459416, 199479903, 963876736, 256704607, 351458696, 629082176, 580960214, 149524003, 589298858, 278859225, 218405626, 701958479, 234608345, 466509148, 362748236, 60342077, 737699985, 611072335, 48347099, 131636136, 710005526, 954953391, 126477789, 929055963, 227444231, 772000174, 955731151, 437430644, 454854582, 324843178, 663232619, 856031259, 749312294, 257084208, 519351394, 697197352, 805209034, 278823940, 634628067, 782556979, 731710240, 378967426, 632969759, 824862289, 1035307044, 756114900, 1020448080, 200566372, 492691222, 961834528, 685415839, 462163589, 508191022, 451960953, 30723626, 254731306, 330299829, 164309492, 426582893, 65536702, 246859594, 871536748, 48255321, 221858903, 248912354, 749555643, 50207469, 414182888, 152535976, 30268778, 768335557, 40919472, 879245352, 640013940, 1061180546, 359163011, 1059879222, 395788727, 778944401, 1030816636, 239461746, 81550901, 58717252, 772343026, 410092208, 12489806, 869131456, 976574719, 168210760, 1033054248, 459252846, 439311394, 529690828, 962111587, 175305096, 929950872, 624337849, 913451241, 318221516, 511992450, 622719209, 714666394, 5564300, 407244005, 91139482, 899780259, 678524405, 42728685, 576577554, 625460343, 484861619, 163787338, 908736759, 317796337, 709611871, 573294140, 1005541638, 564057850, 190417494, 397598854, 472188835, 345862774, 303109663, 867138062, 622455654, 828594139, 926816609, 995448875, 719801775, 1039424643, 364508963, 879978545, 145691101, 332586656, 142861748, 107276262, 694912298, 705474646, 681197643, 691050363, 386853037, 188481658, 724159655, 371731885, 382293289, 175599496, 177338163, 797904707, 691459719, 70797455, 1002001000, 540834972, 452884, 1014046601, 687529996, 1045171993, 678020012, 399856669, 815432953, 984832123, 398357974, 258761956, 449249994, 303306775, 457485113, 33800315, 618555918, 68445320, 216550864, 718716175, 287037499, 586229418, 13357062, 713626297, 1021368037, 90720925, 215978885, 465652192, 393233683, 646705516, 1019592891, 244730538, 744160654, 12870690, 690827794, 204161945, 484791560, 157922366, 954790677, 649788217, 536035260, 963323486, 791275394, 679789516, 918100388, 639918017, 1033489219, 555942509, 162607908, 8146309, 1058278584, 237912438, 515748360, 139678974, 969633998, 31288455, 257132555, 612469045, 2818460, 419878747, 842937276, 275694242, 645943848, 157407126, 667227951, 108617176, 352741586, 461691857, 971142143, 833657626, 858102226, 382729144, 1054460010, 523707107, 519924479, 193053552, 315596843, 639066697, 1047022156, 448323832, 889760689, 1029360928, 904112626, 83225100, 151721730, 729540259, 853455720, 427940357, 955079625, 381100112, 746134528, 849571327, 535243177, 262331210, 874381092, 640209083, 828692110, 220629039, 899158836, 596312758, 740430340, 287820057, 855384476, 891843887, 621144792, 934252318, 624896637, 260687870, 605583418, 766228554, 642319477, 908645721, 857598819, 703264788, 384871800, 506746585, 149164772, 649427279, 876670254, 534068730, 125423887, 678245883, 661872396, 832130369, 639564313, 264172993, 989231905, 867164039, 56830904, 362586894, 161509882, 255714554, 268285761, 48233107, 349553154, 897181391, 785923195, 941378854, 444829126, 99090004, 403327425, 566377590, 1043926383, 814684870, 454948253, 259918492, 438259712, 568016881, 132568847, 105374770, 343751192, 184125667, 18219012, 45278977, 385350702, 67967676, 750891313, 1008786160, 1025179290, 961380330, 751132180, 825654576, 576573168, 835193051, 584861466, 941251044, 306309574, 954162779, 563181073, 1242966, 46253895, 832954611, 1060942765, 681018076, 647059751, 933048423, 203076838, 683770854, 334765971, 275972712, 74733287, 909084989, 1057871724, 292271952, 574615803, 567595277, 193678052, 686734710, 163389262, 1038339263, 846037388, 774724945, 872557110, 969413270, 973198571, 1013413059, 971787249, 901395335, 160838886, 853510179, 955103716, 138545489, 902717490, 955225102, 620958306, 147426448, 54462575, 898654611, 110473263, 530833944, 1022864557, 342184886, 438130753, 359853914, 1065891232, 746179891, 308428927, 707361229, 24040230, 902325407, 874631672, 750851225, 371703959, 99753005, 245269350, 903428196, 443239884, 21726271, 107181547, 868986037, 392722446, 740026798, 1064298446, 403257998, 298572464, 1009643546, 809305622, 860812981, 593660756, 131670413, 1024003145, 674707174, 158698332, 842914732, 151970158, 119934797, 937310522, 31609831, 227387920, 89909344, 166643944, 959472321, 79516861, 723918645, 104712010, 714665342, 667097018, 329011601, 589793507, 218155468, 608902472, 974670457, 702884812, 75784772, 202244048, 738581302, 600232930, 946304466, 511769283, 790587812, 528789391, 1005347180, 247880505, 36852013, 183262192, 260411709, 266870404, 800806597, 37546829, 704263603, 505183880, 197141531, 473960364, 1016725859, 510879704, 197442777, 1039467342, 445902386, 338686890, 463396917, 808606443, 504247822, 834149869, 292091018, 941893001, 668226676, 541443063, 419746798, 525932199, 623376717, 140383659, 250544907, 428743978, 587320036, 84465130, 297295178, 1027478731, 511840463, 631685160, 165834769, 884455018, 340596042, 566442492, 736472877, 193970554, 511997961, 620241469, 129470046, 61740147, 548787752, 607511764, 178559815, 751132077, 463802328, 1040318528, 440879904, 420450243, 222503737, 776182600, 635966045, 405792986, 569605421, 551811594, 62456142, 1037402262, 1067523040, 756518464, 73172476, 655526309, 281229491, 28061130, 82795135, 1032527009, 214748485, 55399526, 353388602, 145621080, 379296918, 555468934, 80578205, 547511480, 879226662, 1010153769, 878990280, 808069212, 327660831, 661647433, 700740290, 464195130, 570224429, 454256973, 230266984, 283854101, 521317059, 70131015, 54115291, 486979618, 483826702, 350005293, 166690202, 797009774, 916398790, 460790239, 765854657, 356346895, 947457747, 425562488, 293616049, 431492230, 126177132, 837635568, 848265434, 840971841, 137241830, 278018536, 176473596, 88652731, 573101519, 454121899, 815188779, 991529128, 672885860, 138468791, 862507303, 344624253, 329786733, 737321698, 753962700, 416942324, 1008235791, 1039033668, 615809623, 464045086, 816260081, 405678882, 581224023, 144365219, 579043490, 583560431, 1072893666, 814193629, 78351996, 774895391, 702105382, 318099249, 137360111, 392320462, 845423643, 318462629, 685355062, 137298575, 863689183, 1015450726, 822954291, 1004861144, 1023192112, 252299320, 364408622, 888118151, 888619455, 100965792, 239991126, 596961597, 314946736, 502046893, 498908061, 662493172, 16200839, 381659369, 275152976, 577938715, 1053464499, 17437774, 875473318, 455328174, 637740056, 964794844, 911569176, 379753480, 324092568, 310422103, 1006310643, 436500300, 960944643, 105595566, 21262385, 477022952, 359143681, 899618080, 857149109, 690519913, 799528149, 746862513, 297130658, 197304345, 1065032773, 374286731, 963433860, 593905287, 622685410, 917769633, 301041168, 706202142, 43770209, 492110506, 23698040, 849462903, 845062181, 601448169, 309457114, 399931618, 369026693, 933682344, 159222535, 10600749, 300649166, 1054227416, 221049178, 566619121, 277692501, 941078465, 718393587, 1007734650, 338809997, 681082311, 868359769, 310867164, 784130474, 881100229, 107707213, 213383431, 1016262442, 820694537, 567790186, 170501874, 401802983, 831284869, 1051645247, 42000321, 229217613, 772924250, 227633994, 823298981, 715467855, 344453030, 152419838, 402276992, 320687955, 1029143102, 38390024, 917920003, 624503385, 1042184168, 45964540, 177029892, 678976405, 646159494, 693887539, 153643989, 908247888, 736339385, 887627188, 233112545, 669768568, 1073678086, 204846618, 306470704, 45264495, 751440342, 364573020, 337603740, 211604835, 642328414, 691173544, 334523867, 726497689, 497809638, 892488533, 852072350, 201869910, 219006010, 1048065389, 1068664212, 661308388, 372506897, 672252958, 509994307, 42358925, 379384313, 1068839839, 400664446, 814655056, 1029934976, 256652315, 812116113, 752649903, 859093774, 151174513, 201255685, 104662333, 239478803, 346551904, 613549942, 861046455, 856379030, 257645557, 159340930, 430200148, 832984399, 598013836, 770787022, 271780687, 561280663, 141814681, 336773102, 257784809, 754064477, 431439438, 495874733, 173958910, 336749644, 841455016, 402086026, 87382764, 80000796, 492927151, 912286602, 247513728, 864975555, 855841359, 19318755, 368149869, 548388305, 764508375, 758953684, 650282108, 753731390, 557905837, 229773584, 1048232284, 654580126, 160297365, 509874631, 534221149, 319532332, 427637828, 1016100938, 639152081, 966015196, 873424463, 401276350, 225923004, 280753200, 552819038, 425078332, 676770126, 572804002, 396992788, 718961176, 244883163, 169547780, 1071884920, 3022307, 967166172, 890180680, 959550970, 32811127, 193620021, 258708912, 361938322, 406418588, 165277035, 30141481, 398545980, 292668169, 977277419, 819813749, 561411026, 600243850, 468449368, 283961588, 635167387, 672933373, 740499955, 672073800, 547749826, 850915662, 4072067, 944781661, 172019158, 946304079, 622756300, 420230793, 532458955, 897612272, 434393917, 869099542, 353018679, 211205640, 642797819, 691223288, 197476161, 548868806, 892988731, 334370712, 964950515, 147602405, 486489337, 827357894, 967891567, 171144790, 544142284, 565335363, 278548707, 380168905, 646456195, 748307520, 182910610, 426651834, 677587960, 166401386, 739661063, 421834473, 505317606, 798090491, 721054685, 373806303, 258087185, 647847032, 1023080429, 436393865, 721340560, 57001599, 466638154, 1040807641, 60129047, 100098358, 261432880, 656622516, 390611581, 1036757605, 623145551, 980920385, 155874019, 1055352829, 223213905, 709147199, 522457389, 593970123, 406277579, 199371646, 592885086, 85669008, 679520365, 586018068, 1017106766, 941940206, 340110117, 821963161, 239860733, 253274060, 435296738, 822008817, 812087428, 698990951, 748272469, 653012659, 531227472, 574159012, 38706454, 91660842, 442344716, 983017205, 436790385, 36433310, 565645801, 274518307, 338306175, 581308046, 866188074, 348359132, 197369599, 304672900, 491706975, 618295014, 315924378, 395731730, 583642565, 344351300, 230628395, 637098882, 433523909, 76968926, 329091464, 439784166, 386962937, 491194624, 532748463, 360872760, 557768891, 752265173, 525103234, 29989911, 888488149, 213486309, 55396913, 922071376, 753325571, 100927680, 556088472, 382835326, 935543563, 421279196, 165922262, 537590534, 25925869, 14084646, 575133342, 1047263675, 340664035, 1016625028, 245682668, 567289801, 767187205, 726520608, 227779315, 941402652, 1029148253, 485215053, 576777945, 241197364, 665356344, 304637328, 704238313, 321495493, 448985412, 1004252429, 1010109541, 7465633, 820901629, 833053807, 453675380, 60615924, 254063301, 851542584, 848432166, 649286366, 50536269, 127992216, 584528153, 417843043, 903833996, 238038348, 83665670, 77307492, 511222409, 703273687, 1064295489, 991951269, 337693872, 484827310, 1025434270, 500894257, 542799137, 746773606, 858558985, 478050740, 1004366552, 901901922, 554234848, 568570133, 177682413, 91772243, 581458669, 62161358, 1061152275, 443317084, 272387026, 164270392, 1004146282, 932552695, 1040814229, 188566339, 149613906, 705553578, 1052484680, 465936612, 1062448343, 628544565, 981676712, 136483991, 447576122, 410686738, 406065898, 1767585, 170345170, 677263856, 510071098, 994466296, 42190277, 634655343, 54297567, 748378093, 1010248789, 112501506, 193385143, 847856820, 792141351, 453240525, 1007493818, 99405452, 765214954, 1009500418, 255852612, 534842896, 706535334, 339851210, 900855206, 777956304, 744224345, 786962731, 197175692, 106495205, 200039281, 665039700, 446416828, 103575486, 763340218, 706406917, 310150108, 694747425, 883343365, 888386813, 570304128, 455488826, 229080287, 21536848, 864548546, 162462872, 637742254, 483401527, 522447448, 744264887, 277213681, 743069020, 219201839, 821667370, 987225948, 80489677, 338356466, 107015652, 919053168, 304513521, 224771503, 777171440, 1065162582, 290003771, 597398456, 734174106, 4477723, 274584527, 722247821, 98738792, 44426766, 673860557, 427478462, 991754102, 393980583, 122453502, 128016786, 330090758, 939829087, 337162595, 274748160, 313231590, 350363503, 923963189, 136434820, 477643136, 63262045, 742645183, 646224649, 942583659, 338730816, 250497102, 269981456, 884187211, 147158020, 151132598, 899716029, 953613737, 644202650, 716218466, 410564266, 425199934, 113255833, 1039634615, 829931075, 451876462, 960525420, 851608978, 390734856, 1013917623, 263916236, 464044113, 57476622, 823845668, 368946335, 164928188, 847913819, 286212462, 367510190, 5635285, 286974164, 1007874692, 953302893, 745271130, 845063558, 318364635, 400237901, 248317264, 1027068221, 719279996, 675541239, 629698097, 619343188, 166067817, 234995791, 266516118, 261861248, 554719, 710344063, 948738839, 223438582, 21258308, 103792540, 665617113, 247130054, 21498348, 695528919, 826519339, 799176890, 1055926574, 752676077, 427568543, 18188227, 1024226547, 832185256, 888230294, 470195357, 815652810, 925925832, 303806509, 753666579, 74402975, 458246395, 711253495, 695797574, 485817536, 788249976, 656218910, 934298826, 160520178, 921059261, 247855789, 593391711, 767842124, 68076937, 572512376, 837096553, 314725076, 856924998, 167146432, 412813110, 359730713, 354791219, 17847536, 846996587, 500959930, 152799548, 861872530, 336204631, 564099275, 259650006, 778533538, 1058353746, 434424639, 16481219, 943101462, 468555470, 273434670, 13920888, 1057989209, 582348824, 36151733, 516109110, 871728098, 794839544, 980648847, 925756241, 1035582461, 89708726, 898492041, 215472181, 928115398, 1068422775, 470139036, 278659919, 659672559, 637697326, 836635762, 47427633, 98220814, 992750065, 309303123, 895133928, 555742985, 354989247, 893467616, 523543454, 203839148, 983514264, 529339036, 572464917, 956923134, 1037533651, 10182185, 1022655538, 682752841, 820435788, 500797454, 208159673, 630324554, 965388974, 251062683, 1066690795, 153877948, 473052189, 1014982094, 813067166, 977121715, 414661610, 494275336, 493199375, 1015627821, 215640292, 665269139, 352491244, 387394428, 477435212, 42910937, 661931796, 55633638, 814588791, 456392225, 210646675, 258323529, 353176401, 538956164, 279479330, 916258847, 609320559, 33982519, 53427572, 935389604, 141184535, 829269782, 525984875, 13577349, 749512470, 320339045, 1066045802, 199690280, 199965180, 168169479, 174024477, 822120993, 419970970, 589202208, 661923723, 999299827, 788666319, 1072781371, 1033212435, 618304261, 1037784590, 965184008, 923028467, 8977298, 894789427, 738141586, 669065367, 508040422, 542685603, 248683585, 958255540, 144268970, 1071801373, 878855002, 37280141, 481873483, 332325771, 646392552, 295562741, 310362370, 946779970, 337730915, 886547053, 921727817, 464146165, 755117402, 16275452, 185863535, 808406518, 934702668, 434907288, 557513215, 492216719, 714014454, 532795773, 541597252, 859691752, 890671015, 231023047, 59617459, 649627188, 429644448, 374097696, 918914899, 829281456, 399945958, 40502058, 524722069, 1037396362, 257388163, 213791661, 164931917, 475973985, 606330954, 923863309, 296068692, 586976242, 764055136, 672538589, 372583448, 710400225, 324368580, 798778644, 605369277, 434373150, 449654830, 828495707, 207221283, 509651929, 678528234, 590769451, 909959097, 536624977, 22330940, 525902547, 931386310, 784381240, 397114198, 620661959, 1066122155, 298243681, 127173979, 1026760035, 681810066, 453462786, 1000708047, 972732850, 901473582, 116739085, 399193929, 62144073, 444514140, 152468872, 370375747, 1022788387, 671991263, 422313460, 552234617, 297992979, 769289407, 86684631, 894119787, 278904210, 507942293, 45890864, 640659027, 834442601, 1054273805, 301663224, 327712071, 525175156, 294738706, 1071700535, 485903819, 655968252, 643412087, 77052834, 1057176599, 1028736404, 676662179, 183587721, 815295365, 519459028, 86844003, 834317256, 500053884, 868184742, 390655503, 746119814, 692193021, 889843519, 308554982, 779142508, 109293881, 361796465, 283400858, 143837041, 160610513, 543666403, 128621572, 1054746729, 345686234, 448388872, 635227155, 908015381, 885020666, 75661289, 188100988, 1011372420, 73964479, 351881765, 894573193, 372490008, 331067910, 560011987, 490682593, 635358815, 396359781, 184746616, 304469218, 673690557, 550686116, 112869315, 1017551364, 1052731434, 1005714658, 329220501, 839751873, 343185559, 328837782, 946472186, 827389710, 931696595, 86612256, 966286418, 689443696, 877965303, 1027085335, 828127420, 191936159, 594153242, 291562648, 772687303, 308821204, 732517617, 13554710, 1025831871, 234909261, 416594850, 111643813, 149041721, 810572325, 1061825840, 87314966, 938249793, 1016362627, 71167578, 31405729, 701068271, 1061599549, 759086505, 50348160, 139586625, 741971885, 739802993, 1894536, 701187500, 429909463, 981803069, 842377395, 194078235, 320607163, 914181395, 997248968, 800757889, 208072972, 1018585610, 262657149, 1053321464, 460396550, 289467990, 125578159, 675056680, 128966026, 1067250053, 928949953, 551638854, 508790684, 701513894, 907332095, 744788040, 876134830, 316563858, 494994197, 517159865, 587066623, 118041324, 1071199854, 737111449, 35971455, 94919416, 286144855, 565887376, 861805829, 840222988, 642878988, 697346169, 31249991, 273794335, 1039316207, 280518954, 686501239, 896429489, 825853284, 147832460, 736211851, 643528846, 583331826, 853074217, 1034537710, 471397344, 1025288473, 367204230, 184374195, 514372025, 811498334, 813985615, 110711672, 631882809, 34227622, 345969601, 99524725, 350754341, 204181048, 721828707, 798420202, 606057983, 1064851716, 69830811, 311920367, 263932056, 1054551928, 858408478, 551255615, 1064392658, 735231365, 458563926, 386747868, 247812742, 114678827, 120567515, 792064102, 409764567, 638077758, 774127367, 89901216, 462135241, 127354018, 451094256, 812872733, 706377244, 31351035, 445447689, 722944135, 22692463, 919493579, 94886668, 269947938, 1004890270, 903624415, 117709164, 781659457, 574426592, 626260423, 844633715, 434928618, 691580472, 165106398, 16377685, 739603733, 315100366, 149203685, 627450323, 1065662095, 243265497, 857868002, 438151257, 838958148, 501924316, 220858986, 87190553, 414568781, 477735593, 15020616, 158638674, 729843519, 796396775, 800198075, 539469309, 696578761, 258155645, 138329148, 654931478, 255753674, 607479548, 21040577, 907095117, 317707371, 229220481, 923838088, 395625582, 676842386, 772208274, 173614907, 797771717, 311221962, 639389392, 96923204, 298981832, 763566328, 11057792, 927870323, 878349744, 376076812, 706434661, 126223942, 138331389, 703025189, 597459015, 606948297, 836631814, 331606764, 411177545, 807714903, 628320682, 948719726, 1050003163, 598718428, 912293179, 1049423529, 34993767, 353282334, 111820072, 829409037, 190522830, 507292284, 727428914, 234891416, 1028552257, 332916071, 799366580, 642914137, 116807659, 299054160, 512705676, 635481760, 633729212, 691671870, 95584952, 966833750, 61382738, 395237896, 233800492, 82950592, 503487183, 961687990, 512426319, 659898884, 10580453, 555404973, 271554314, 334067545, 227849012, 366927419, 633611446, 615571598, 440109891, 301501975, 215623615, 390707727, 855536206, 335276889, 311727452, 580598244, 681951304, 364156895, 914435763, 71313546, 619864399, 800445981, 839970674, 842311077, 665657883, 799721074, 1042770955, 597332172, 992178670, 438686992, 468600420, 7979945, 870590125, 408609925, 59521329, 632729884, 860774970, 11276737, 115547834, 172837014, 221069948, 35559436, 298548296, 896521250, 652193755, 508079918, 629672962, 42177854, 430186935, 883422382, 103103115, 631723742, 167413884, 744241889, 102467619, 695770148, 596667441, 916350919, 80687472, 735607411, 94444682, 307953453, 403207399, 591734160, 516450328, 629797696, 679521679, 398390869, 883326674, 68521770, 668025723, 672347910, 407664981, 569370171, 768586037, 698339346, 1022300942, 161158662, 77354071, 222930190, 457779919, 343111266, 59948822, 1057561707, 752466607, 849860241, 177818563, 211633601, 354779295, 705453268, 831397065, 501034088, 229369129, 431073204, 485844840, 835891912, 193592460, 396529856, 394791229, 292625975, 687754438, 871481753, 728140147, 749477770, 282157205, 895210015, 972119263, 577070334, 66193824, 942227789, 465656492, 22745463, 873776578, 285948004, 487549379, 468925273, 968317757, 686673156, 180700538, 51789077, 875519185, 791651360, 682370923, 99216274, 520193454, 927974177, 43615108, 939265054, 445004413, 4197476, 1631718, 398310088, 318391847, 526291222, 377657723, 1028778443, 602927073, 145610111, 756553689, 854361095, 310928063, 335615600, 932370973, 466344608, 983232506, 346190822, 400037253, 1065540767, 157160210, 883342396, 700998346, 641585683, 940450413, 218639194, 95122075, 145524297, 912917890, 827780856, 384881103, 38911835, 996610622, 324516621, 23415365, 211497494, 1016720724, 41075497, 273589590, 995820568, 487588654, 258574504, 423578219, 874426899, 211797381, 249991311, 124464312, 22918095, 677983439, 937790521, 794529607, 370953575, 23348029, 562674943, 721455416, 958197937, 987713869, 144511816, 985248719, 657553635, 880122858, 566231655, 426655035, 176951741, 961488935, 962757199, 360056834, 344045604, 388255188, 579404352, 248251918, 460500875, 525481395, 193618596, 949404464, 366844324, 983513429, 269666188, 838887183, 244507469, 128344249, 1014470365, 978498487, 164962172, 533193148, 170090368, 519002353, 164461434, 663446931, 1051463103, 134575861, 65366609, 1027318688, 894883766, 347356943, 463192129, 695316333, 479490565, 433648855, 787635200, 838803742, 67869635, 874809693, 702910929, 1039852527, 610829276, 279717065, 282175075, 554018091, 199454920, 177986555, 45663965, 768936650, 660796943, 938652252, 624309362, 282284969, 162508535, 283008474, 352346638, 315582977, 361766763, 768649769, 966113486, 32593129, 281936188, 66865517, 348045920, 25340539, 727489749, 1057082925, 215198734, 291960788, 105089129, 994291854, 724628505, 584209158, 48073571, 300101894, 264872727, 255909686, 63727461, 3213591, 442598092, 768147145, 771033220, 749472576, 909259132, 10843672, 1007172767, 100593383, 566259358, 693406415, 1058137411, 289876932, 1042558498, 286639553, 651136543, 947581041, 866330907, 570834274, 296359933, 1031773127, 892386429, 470620102, 735466145, 853098304, 880137912, 988041259, 588986757, 503689236, 928926649, 633648326, 76063620, 355120376, 512777197, 213757994, 689299042, 615277027, 372286546, 799935338, 49355491, 235930637, 164182822, 1059192761, 765808325, 230953618, 253553012, 551775978, 756572871, 153974409, 742075354, 374793533, 803886293, 237762970, 560539517, 236007736, 401208270, 176161263, 853722562, 246165871, 1054563599, 802299601, 305165748, 778326348, 908377490, 715486278, 574015721, 107831408, 791859498, 164443166, 665773396, 812536187, 963293634, 514805031, 671303509, 977931353, 897989951, 166175298, 454754139, 850428434, 662149279, 153887906, 905430131, 996204095, 507200489, 553914526, 592793959, 377727556, 491363627, 69564456, 1045577830, 521168193, 37708099, 796047306, 8437350, 4814891, 117725961, 888933844, 968536572, 426040719, 121960767, 617219356, 468855298, 972829302, 67701492, 120570174, 766985186, 124964325, 263134236, 355671389, 53525484, 628872063, 93045308, 918705455, 305232568, 22338813, 812229714, 228964833, 595660342, 672401729, 421411245, 349072481, 127347849, 561618108, 604596362, 312468945, 108659166, 430799585, 965983737, 683005252, 1043858072, 1039836893, 349239170, 996078828, 418105163, 708173226, 729223499, 699120967, 380971116, 185045037, 1057214131, 261211846, 666528720, 237767741, 333744540, 972000381, 840677184, 31532190, 196382990, 755696518, 1004556946, 977063603, 566273672, 593820936, 564266367, 929357874, 310378171, 895405559, 393750685, 529801787, 840159395, 1022081052, 17772258, 165430510, 1025725952, 958449442, 433482323, 44593928, 1047529681, 324511229, 539447408, 1058695949, 864410459, 251585118, 184045693, 204621284, 951432563, 841756240, 942542769, 105139776, 146082228, 884374204, 206648680, 896283656, 902763407, 1058596626, 281997265, 207274485, 834080317, 350681009, 345567130, 461346465, 607400172, 904814411, 205337251, 946573442, 972909749, 863177790, 395124772, 324628775, 475931831, 111364736, 235704963, 887396490, 636234524, 685096054, 418887182, 1034937959, 899979987, 449803837, 537584885, 220577435, 79503267, 1000303171, 602721348, 596166321, 422955187, 1029350968, 800022801, 838669385, 688577922, 88361861, 756609746, 495600727, 765097755, 353914227, 247799699, 1001308053, 229150183, 1072941851, 350080771, 768606730, 15195600, 180207152, 256872833, 278957788, 133393654, 127164511, 824902460, 641714060, 497496130, 751188769, 737955970, 458528557, 689363215, 859854309, 891204498, 757874396, 501494580, 1024635202, 675044615, 64945681, 322142350, 808286230, 788862912, 832528659, 268260045, 477906749, 1068649461, 527748036, 903085168, 84663011, 149020452, 928574007, 660734435, 733107479, 946677458, 1008718791, 868776649, 311129858, 342142341, 958431513, 231082634, 507163660, 559914743, 571208256, 459576226, 191334345, 144382674, 551698349, 362005129, 574556756, 92388012, 104332961, 15436273, 1036894178, 125009898, 482776996, 718858296, 724703518, 79939537, 272151301, 1059200933, 646790242, 81184023, 875734828, 1036444325, 596278680, 114432536, 118797552, 493572524, 22245950, 95417717, 276100389, 545440843, 906681936, 175410900, 86547628, 756125742, 411648210, 613106015, 808224165, 892637407, 242680191, 426340251, 1056989004, 913566885, 907722624, 202692117, 374936437, 167680729, 63951881, 462529117, 315804343, 136278352, 760626496, 522171718, 689059028, 1043053916, 411600649, 1070747233, 1040420572, 686739594, 901562290, 1016290846, 473119330, 533564107, 673786602, 883606684, 400523733, 838242740, 904584824, 241531649, 659238349, 937805940, 890851545, 291414055, 153023220, 41284500, 188648704, 840325699, 460766509, 467281741, 371708927, 198928794, 790608315, 489001524, 537609956, 703110924, 441764308, 196421578, 86320829, 813024814, 28237912, 1069106202, 1070102054, 995991135, 848098288, 911475530, 938674250, 45237775, 602492140, 66572608, 306531185, 854077301, 946790637, 909576767, 912160323, 19337711, 750073535, 792745793, 782326089, 45267616, 257709294, 968860943, 731152893, 742421768, 930514297, 420134002, 83412198, 1018203328, 75766279, 568220260, 685700832, 507392854, 172500445, 333333713, 336863964, 975029990, 424046872, 541339979, 82320843, 665691987, 864982499, 911338942, 892182032, 145925960, 238824082, 1032919250, 813938904, 262024975, 885407220, 4152665, 949120590, 282185478, 534779423, 325858829, 695204034, 437227148, 802692200, 863493898, 761649208, 735014796, 121024565, 924830454, 4272487, 976527497, 1008384144, 593995668, 18231225, 458161563, 645565712, 24783024, 540353241, 1057708306, 959029057, 131408972, 740103552, 885597319, 246375516, 463267793, 74237511, 867413694, 37263415, 293531123, 428585209, 154435109, 135989462, 976995788, 202170848, 190779845, 117353732, 912874312, 44931962, 164803625, 157906286, 236444493, 983084347, 176116016, 897083930, 735951539, 827634527, 265650187, 127101696, 136379245, 330296780, 195656037, 877240830, 359645006, 1025772661, 788028549, 596038032, 244896409, 564208413, 648000531, 614149355, 974480719, 1063169332, 115885548, 848490209, 757876301, 567545330, 163383762, 957647701, 59759856, 388288298, 556183788, 85124090, 820952589, 445159403, 765894246, 199311285, 761168584, 868726464, 486210620, 947282484, 29011910, 333060701, 933816288, 322648214, 617935622, 329689165, 1042558050, 459041972, 927657368, 885377210, 37952985, 265153642, 688013664, 265462268, 204040915, 780962530, 28215595, 760867448, 621170299, 227170951, 525557577, 659052475, 429308256, 1045062839, 393018051, 98869425, 191533401, 323710333, 879825115, 51606565, 114629174, 241501260, 448162304, 78264519, 59451756, 4631369, 959821937, 874354414, 702704729, 500850119, 38081117, 677125852, 965524774, 910561555, 350582279, 117756604, 1029565808, 1047224394, 323020672, 412698585, 797832231, 436653807, 191139626, 1012520346, 120399972, 652673520, 130158967, 867767290, 608059051, 356551871, 447019994, 94365653, 102389187, 173571065, 1058405675, 667741679, 702863133, 334546122, 366311983, 167395652, 488963930, 378265329, 600179117, 615165267, 351821315, 439894079, 837303339, 364607426, 656150997, 101065267, 386905660, 950497426, 918874419, 809559347, 1007370360, 976077438, 548691251, 330740920, 453556100, 1765886, 802819985, 110397366, 1014379148, 1041152521, 184405523, 995853105, 114186989, 985906860, 625852136, 699309784, 916691107, 750910830, 381329518, 762896623, 473986081, 1067616327, 393008830, 696910005, 1017523954, 1016867762, 812934867, 651984663, 425656015, 1000638659, 544860852, 930271242, 390553926, 1029342550, 630293448, 609255260, 994792769, 894054932, 479427634, 892549407, 978804385, 285916425, 1021282513, 283350131, 474360382, 311575040, 901257647, 676573687, 173009609, 126539271, 834343818, 886652319, 56056200, 1067304009, 804905417, 978032289, 428291949, 405301344, 1039421530, 341931567, 1014417736, 1019238289, 116486806, 636752388, 478102360, 517351057, 942915356, 774027278, 767476394, 874017219, 303534017, 452583716, 368975805, 866601828, 446155558, 201701787, 363935760, 406466683, 597277670, 318951201, 858606930, 279254869, 204405192, 224065323, 708072232, 62903084, 832892813, 80954934, 517562947, 269808263, 316345021, 1041370710, 667101100, 215421588, 821903370, 998666665, 199401548, 406771373, 346371226, 966599673, 992261498, 147926016, 1054749521, 544684349, 602719041, 639031464, 1051598856, 641444288, 604949682, 322789664, 45655521, 981850625, 1019856219, 132016486, 13642055, 1046758603, 320550187, 384483092, 792534003, 188041785, 395591016, 709238267, 532104565, 701376318, 956827904, 50973547, 56487407, 909939911, 148647848, 865169310, 1073174884, 680812236, 1063307020, 478257356, 459604537, 32051725, 998201997, 757918623, 396928241, 630287151, 965522774, 706668716, 842902365, 112746808, 294857342, 184622767, 292780818, 503935336, 516722336, 458051436, 1073061212, 459248183, 394215507, 196297004, 275066681, 1041087766, 969634629, 477225179, 155896441, 547986429, 830954059, 156290475, 348476985, 49489617, 665547472, 20478161, 678329551, 707206171, 907252397, 108289678, 530478451, 622751787, 968242156, 1039144195, 63873387, 647271977, 310215763, 1016130083, 520217351, 99543381, 226859108, 771923010, 102474289, 475068724, 744692158, 907727199, 407302914, 699701, 515954926, 63686849, 646465161, 245430208, 144813617, 68080469, 433344193, 876850735, 80088742, 478540497, 523047113, 838533683, 405565530, 54542111, 28730251, 1035384955, 817690396, 332611669, 135447388, 899509771, 204354975, 750125837, 794137314, 541662475, 919828163, 571964469, 318588796, 569240994, 207408940, 1027926494, 831920991, 795617930, 631301463, 403063483, 9164978, 196023988, 720055762, 426808492, 857678595, 92668491, 290262678, 323516830, 498158021, 711681645, 372527655, 921773099, 503476504, 516503550, 433211347, 423692532, 249114163, 196572655, 44826522, 330095243, 462229671, 365482934, 269870096, 237422609, 1031584149, 690680233, 492659605, 498256858, 567120853, 32218617, 751841241, 330857277, 673119061, 472024854, 914967813, 1056741461, 213656207, 840443418, 380921728, 367551088, 552351863, 144268303, 631178172, 402479151, 303815564, 502811271, 605060148, 243962871, 690078353, 381384756, 336268313, 706399945, 463758777, 718532490, 560196215, 597183670, 41498650, 502084776, 1045806763, 172264484, 279109566, 1067521623, 239496561, 19087673, 851442924, 468524124, 699492627, 774082450, 702582943, 410747598, 141107904, 818053967, 1047450493, 191294501, 1036937832, 879608749, 848141060, 141332353, 506405659, 257105482, 166959398, 693742584, 782041829, 816094667, 382733590, 42404851, 27276744, 153352015, 726562697, 975117393, 229139514, 599539074, 699222843, 333378948, 754647897, 50522151, 1072241246, 523844682, 782103865, 575662758, 547470806, 823956824, 184634616, 1068169426, 866207914, 5726765, 602476164, 201577920, 883330613, 753089135, 601273908, 496589692, 750025613, 311644957, 509345936, 758162958, 556488166, 17924996, 629007566, 886462095, 247618261, 718486284, 848004598, 18923331, 1006220439, 59551421, 512526668, 793080522, 532016392, 1036583941, 837940859, 414861971, 955668865, 973765376, 100848237, 485332470, 209384819, 1006044796, 938311915, 628355159, 43416730, 346480938, 241835535, 820624958, 131445173, 992229376, 537827163, 411383675, 558960650, 584856023, 899569850, 919828235, 513198745, 723444123, 764615138, 579929158, 641487844, 632576358, 586275133, 864282213, 751368396, 851100563, 597518202, 736289061, 9235348, 1072744739, 894854028, 783863572, 861361760, 261568916, 1056721875, 948849784, 829593050, 400142023, 628171226, 567103182, 599802284, 916055692, 843368, 413955796, 792196918, 444325032, 335524814, 327369638, 722376603, 590584846, 1059512505, 781988696, 895621932, 81065627, 218596328, 103392005, 331144466, 795079886, 202394498, 429375372, 58243528, 1054610490, 646850375, 928461783, 535224486, 826124810, 903479711, 13730981, 885487996, 98537985, 938170305, 468582062, 972930119, 374376496, 6499822, 1018182136, 467078300, 1070401480, 36489390, 43904122, 195514140, 274463545, 153947958, 840653719, 488998334, 642969383, 629825590, 1024609313, 47745660, 46125954, 172567524, 561011370, 932164356, 126760758, 773835555, 1002054338, 467085693, 495218858, 472117621, 778037985, 711180673, 331977673, 489258054, 232351768, 275713920, 477745742, 35705111, 623814378, 623343594, 96268568, 686869848, 678306769, 662110650, 519532963, 436647895, 154101742, 887964946, 456372916, 464310315, 133017651, 483402985, 878169910, 1039774790, 22888823, 949784682, 1053700573, 716924967, 371499486, 128175944, 55105305, 856781844, 1051184059, 229172521, 170466825, 783464039, 375487540, 1040361647, 426782223, 518644218, 994320437, 518618856, 68860259, 240853130, 985145932, 871608482, 649532073, 902136296, 438822811, 448407571, 673392342, 409760824, 513368089, 104014766, 333544757, 792479102, 440051256, 384745791, 988113697, 988313292, 900836676, 457972553, 116556709, 959075798, 942296295, 603024210, 867248992, 148912536, 895439697, 1058716882, 383269159, 332179956, 551826665, 536108064, 257466524, 938189878, 548338447, 301907092, 561791873, 958130591, 199730924, 296891050, 574851366, 740170359, 925691442, 10142283, 834737865, 742272102, 463559346, 458625129, 754393896, 535420529, 105278439, 442909553, 1057662253, 923963336, 374751464, 625359017, 391815351, 436717696, 1036279238, 210659930, 941368120, 144071469, 1053517044, 1007660192, 861031701, 241717611, 158821741, 1015584209, 987887242, 975410837, 241168813, 791316620, 697624712, 819282912, 861232442, 570058755, 715789422, 995252209, 358035100, 1037959402, 9702677, 109806100, 589459004, 881453167, 150388418, 356125445, 984615064, 439198202, 575536836, 524421672, 845347666, 603262738, 95714154, 764224136, 427748289, 1058822440, 1056841411, 582775855, 13411596, 840552647, 7904471, 404645931, 1057880447, 1039864101, 756979400, 689346171, 380625177, 1051781235, 1007457549, 1062654678, 330540982, 416004488, 415218415, 608599363, 133818124, 777695237, 955541395, 730824746, 72896411, 275761939, 114774896, 148796783, 790156405, 700549192, 792641827, 1006066405, 325901201, 310313467, 1071207615, 337934751, 5200948, 389080768, 761052176, 749427304, 231619996, 454413742, 685537699, 1068864860, 298369627, 475151647, 906918860, 896121383, 938955245, 834969300, 377206837, 1014976980, 78554794, 526994162, 831360687, 294596972, 463099840, 818663331, 659124216, 968282879, 1012509457, 269171945, 457039887, 388986828, 299700588, 903732665, 875833445, 234509042, 124821592, 944689553, 489448975, 547690694, 180656542, 982098443, 362952081, 804027506, 36036604, 593647880, 274718026, 656091375, 450347734, 251032058, 259023337, 930360708, 146446979, 112523151, 203242612, 609195277, 819483965, 663731054, 443511094, 841198497, 945923450, 796780594, 570721859, 116140094, 58253516, 358234129, 68394961, 432271438, 13485936, 882941555, 760416778, 278726841, 460243171, 402690243, 98690311, 587510992, 21998442, 103263379, 975445250, 671965386, 738567299, 128047484, 297644954, 684454675, 892596096, 659950651, 1007646338, 202282153, 507462707, 77529188, 598055038, 646242279, 300020490, 142356782, 253286837, 538895655, 169222837, 634020575, 340011064, 68277578, 849887899, 199114421, 718926695, 886424524, 91355033, 236572139, 389432890, 764311878, 351187123, 390899629, 662926349, 830079954, 827422916, 822710548, 221055714, 484854528, 882445677, 326900077, 654694288, 655424790, 445657600, 191192902, 497615043, 489936208, 242605433, 807929258, 712506785, 359875529, 333177610, 443378306, 458432342, 640821150, 761117691, 918485007, 610671400, 518282304, 42608428, 109141743, 738953392, 903640732, 728941016, 416468960, 512055860, 966039934, 557684641, 1036704364, 108252407, 453920929, 72549276, 948372757, 128581202, 19681399, 926067154, 864112289, 889707397, 596494780, 46129918, 977024893, 584055900, 163240893, 1012486513, 365247922, 661920284, 690964455, 658447659, 209601276, 421711028, 1015636674, 80279300, 113259763, 945518438, 357269111, 709986511, 446382298, 485585660, 51057082, 652057877, 253429018, 956900876, 174605807, 418107341, 209220719, 882634077, 847313872, 460345028, 958087926, 56413364, 592175828, 247664230, 813333896, 552270417, 373436312, 607819613, 185737194, 616124973, 417767702, 259280821, 522253081, 140347608, 537698308, 618575186, 259434196, 57741619, 185894897, 167961452, 302997223, 161605487, 383988241, 885471343, 349942158, 553683678, 677646926, 445307810, 396226540, 853142477, 577222660, 237143339, 318756501, 233162068, 927110654, 715169486, 285532084, 300718331, 99202284, 747021667, 119584207, 586541812, 1034146188, 994792163, 371249652, 349491977, 239157687, 194314987, 330067962, 525831903, 1057403255, 40811621, 869700005, 945421210, 50214760, 308861778, 603845563, 117155655, 62345732, 768066529, 571708524, 493314276, 1068264312, 1011862106, 1051909146, 793128917, 486953167, 740778361, 322574635, 56182013, 1067240020, 133700803, 222141885, 577360727, 830040932, 726133664, 648305808, 313084235, 318371263, 570992501, 233068422, 1050271534, 656153224, 35184049, 385704676, 730412108, 253256222, 20256150, 144709497, 312147564, 515606740, 506283203, 1046640670, 873047812, 514714926, 259327251, 228942343, 644493107, 65015598, 422025618, 212765078, 553317628, 886073587, 586824698, 432051380, 161340433, 500236307, 1012918111, 267181033, 367155511, 282408882, 365131815, 971125656, 869184359, 999310439, 465649556, 1022740719, 800162035, 697665678, 218175348, 529321875, 513684307, 929753908, 900985651, 414086653, 359033785, 161046728, 411260016, 196095111, 36878549, 187369780, 609753171, 41502512, 182210793, 782975790, 311852353, 21996096, 22018884, 210728528, 620095188, 518130415, 559554884, 83686961, 181226059, 964724291, 293487514, 935772526, 125965959, 681419837, 845933451, 358744348, 899988039, 669596908, 373634799, 324125245, 636492295, 8834193, 786863255, 462741378, 148311937, 801836361, 984359715, 457706433, 262226942, 262531215, 222589559, 743580762, 321906467, 32206263, 967168361, 691675788, 63490187, 342254515, 308650969, 99844679, 294894228, 888970595, 746212143, 245123102, 536967361, 158352359, 589017816, 955248046, 404265246, 1035048424, 610211948, 342964569, 64300979, 343177728, 24234982, 145609288, 15852509, 85102166, 105423097, 897600755, 1010440043, 1069715165, 1032185899, 882646099, 697877593, 66001780, 162820342, 401757391, 830141980, 479229775, 820331869, 250115777, 209407916, 166716179, 852500795, 193300212, 437972548, 313713997, 183574580, 269869978, 45470466, 1062434315, 740632539, 585326183, 529472902, 618305442, 983574444, 730092986, 893593927, 378858576, 454188187, 789139852, 476998482, 786805697, 495305560, 762428333, 239882102, 499705694, 250651553, 946971518, 837347453, 345401300, 27428582, 581045475, 36654105, 917112346, 505652845, 987604026, 673247089, 835360194, 889621949, 41521001, 521023971, 257067393, 592269955, 318458400, 491287457, 195030036, 234266019, 152861061, 946456819, 350164577, 450043038, 178718122, 96336267, 490778960, 989161284, 1065770181, 839533302, 525411641, 914551419, 1025838837, 873179070, 19324022, 305127056, 408989759, 961163475, 600666948, 266974329, 922791803, 112284100, 866129057, 717389085, 967596263, 618343358, 559821718, 530050347, 632955164, 686286078, 829178250, 1053976580, 759189301, 320729007, 38523393, 377510216, 398993215, 5179678, 105098553, 1025947024, 937783995, 778805940, 723951754, 42891545, 80438006, 725285266, 614787000, 77370058, 81360751, 383226307, 494430428, 180738180, 313270694, 8303449, 27502, 767908303, 1006024237, 943257204, 391682765, 204726756, 318030265, 570002805, 510792233, 292090165, 537293487, 49992600, 188678084, 923298529, 157216210, 1054071309, 447029114, 685967477, 282190671, 265866913, 828652992, 584864735, 355321327, 1046948200, 371448498, 608348453, 785687632, 675425826, 854702301, 619796390, 758326318, 572420552, 323970360, 674774320, 385703127, 104713989, 959936857, 537894063, 2771913, 160462443, 322028429, 779040256, 960810793, 422015257, 678168482, 57495261, 228589151, 662276106, 1051693637, 206221857, 100945536, 409824572, 350585197, 992786067, 720806611, 776180243, 1025028975, 250243739, 234730881, 652682176, 1045438361, 751007692, 277299102, 933885125, 1054872313, 215151096, 634515010, 114650886, 845229506, 1069983296, 469218807, 854182167, 161526728, 633006850, 435628897, 99302666, 632046425, 861960818, 327687835, 296051330, 766359099, 220976820, 349495041, 481273472, 658714028, 46981382, 572710435, 787574256, 383943272, 1059601652, 628603071, 474415587, 1066467515, 155291280, 73682910, 286674653, 950988679, 484110757, 496316390, 560061505, 647556429, 798343028, 92512732, 162619788, 290332885, 35380279, 917284903, 338931443, 856784708, 170167048, 730299368, 124881259, 141442636, 316736627, 703880507, 110740031, 865140793, 755827010, 106592545, 619135896, 578991996, 568222556, 75463622, 1005220936, 453128013, 929605534, 715401055, 1035056568, 990513075, 408399510, 101624470, 744924584, 256799035, 126627253, 343353580, 607236814, 887058478, 166067000, 869148353, 568079095, 1031159679, 740790278, 947437904, 418949054, 581883758, 461449572, 89428562, 572445827, 285650766, 252101794, 959855488, 627775064, 533031130, 7376388, 804431289, 209905656, 165797542, 614200074, 955854559, 744491347, 492859053, 343286600, 932374847, 848962838, 564638184, 875622487, 352294803, 331510940, 259751330, 159199958, 812863487, 346395732, 95660469, 637161491, 742687943, 1039260814, 579103472, 669894817, 637218169, 596787197, 428850567, 1055521712, 690249513, 480209631, 321479190, 155599371, 662698620, 746002925, 890623949, 771050551, 325756100, 465251592, 379521975, 117344376, 838664249, 723262502, 60221229, 212712368, 245233244, 78643554, 68414496, 728560398, 140325809, 561101693, 395754980, 959211956, 913185032, 829220161, 190341377, 679242409, 900453628, 757023558, 630591515, 499304890, 670472377, 172019991, 392149630, 641139739, 537472846, 795486622, 133271111, 989429598, 725265210, 537527048, 418075631, 66889652, 205476782, 766045221, 396553477, 676081605, 109771513, 196015640, 943488844, 513362078, 835342320, 253570788, 27678836, 675370332, 865442447, 684317051, 553701055, 369274104, 892847737, 773956299, 1045632345, 981328986, 728272372, 373329457, 833321970, 393157143, 44838254, 639783406, 662423850, 647645147, 893050512, 161877576, 352944118, 140238494, 772248233, 959071092, 685963187, 19319190, 696646577, 458768586, 553707278, 278262679, 488886129, 973736211, 360864105, 868867938, 75120155, 903110348, 147203017, 577496981, 220443676, 529403342, 835208324, 425538377, 92652456, 507849310, 612581431, 165862471, 221379590, 651029974, 907394046, 145023165, 640678574, 435127736, 211837273, 924405740, 281397692, 254634149, 932880076, 805339414, 614699985, 38371192, 171602576, 33028273, 906520440, 488588703, 303472008, 23843679, 509656032, 712689089, 189085520, 31525990, 803901925, 48628186, 762859743, 575012455, 334860175, 919618672, 372984184, 485439396, 714157649, 478172926, 317199418, 1049799726, 382923345, 873355972, 124342470, 124405336, 850088578, 517003627, 145757116, 293001772, 693993264, 514300962, 898547673, 405041417, 1013621482, 946942580, 670445542, 995928260, 33027774, 962475679, 699015039, 337647545, 348788587, 837594832, 255077588, 1053610087, 297870362, 406006600, 289966199, 691516172, 953750369, 981372034, 970313227, 799058718, 78999989, 332328238, 769846799, 1006621748, 950061251, 450047864, 277877622, 629627392, 454453447, 77665717, 781898658, 351150135, 248632667, 879563180, 976432326, 727913579, 797073821, 160702194, 929428100, 918271348, 49643272, 264411404, 881788016, 688123589, 36132359, 473540115, 733211567, 433735012, 529599641, 674674073, 358440250, 590498344, 208484813, 112708541, 180194562, 811723434, 605935786, 953627968, 595255278, 1072327561, 397261049, 946619458, 888886339, 752732180, 859167655, 471219599, 815024846, 277386323, 7107795, 293034531, 934047075, 233434567, 282250450, 903896347, 587784875, 1028916842, 641248769, 1024782536, 490079871, 996464516, 614644856, 1007474012, 551338019, 741094243, 207954702, 232291528, 527756084, 797999186, 715986709, 694494076, 625580788, 241347413, 972654106, 957680420, 653943945, 256126038, 524027737, 396521114, 166496837, 663261071, 351058314, 660530959, 740998487, 502339983, 1057023503, 442790006, 774908502, 793173480, 32418308, 321031161, 1033116237, 634199872, 852947138, 625319780, 285072872, 128294197, 986058488, 733764139, 687444899, 487615871, 80306567, 692510712, 922303581, 739926736, 639830537, 217632788, 787679609, 995493670, 898802463, 339505050, 1034835604, 1036223159, 332130915, 661651531, 315866466, 127879101, 619234801, 149197163, 598712826, 453324228, 892415529, 1013929021, 89796210, 788832645, 913396429, 972688255, 648065500, 644409308, 266807440, 935715378, 272542077, 409175579, 8312869, 167854160, 882123179, 1006633765, 717923695, 946657830, 517800877, 502492918, 837797295, 982583700, 1073554255, 229874064, 532779469, 586858508, 72117497, 1037827448, 332824369, 242211377, 841392761, 737160226, 274136016, 49992652, 477799272, 193046084, 994794262, 453715177, 474555361, 1057418139, 997126647, 905096795, 452497264, 972477960, 123997394, 570016746, 747789023, 992284867, 11942209, 1009885257, 936455028, 402245490, 161195517, 170366383, 557142352, 1071457288, 62190473, 857138186, 254162897, 293073712, 959468707, 329663013, 79465385, 941978606, 682492905, 555966915, 53479734, 543749398, 1876633, 596174573, 652998227, 347966126, 166084577, 863877109, 1044641660, 842871602, 77004745, 412575931, 371274880, 496251642, 135760458, 343799127, 251113375, 629952103, 241342078, 755605836, 1004744082, 864649890, 854301595, 837887936, 928772155, 99441550, 242860087, 632833548, 1008539332, 590514908, 399367755, 644134823, 921318106, 188578674, 56312394, 999243163, 724415709, 159959390, 867691062, 339076869, 247792178, 375734999, 685451603, 134691292, 737010187, 935502463, 850104784, 234274315, 35544382, 444440365, 651001627, 1065262386, 287883393, 962835771, 479865904, 752923597, 748870628, 459226829, 429637241, 842061545, 1014238767, 725809663, 1007516751, 287842744, 589839788, 280538812, 561734215, 528211334, 1040313888, 397713895, 763108917, 634095297, 7828199, 8601854, 713926039, 525925850, 497196717, 121565112, 403737352, 356418841, 402790040, 585367138, 478386186, 936237022, 411204321, 669292609, 645252020, 415109212, 153639421, 866130222, 668539761, 1039490650, 742221501, 243314926, 884989671, 1057502995, 353246440, 747564161, 309353092, 719099713, 808020430, 31195644, 1041651791, 923047649, 369858621, 856100914, 79576181, 182204285, 543252475, 948307147, 266433058, 569862720, 235916286, 29124489, 81253649, 25260801, 238929542, 776594038, 1063065715, 674123330, 48994419, 208888101, 496134754, 359025852, 1068942785, 241076994, 296553065, 427948260, 1071573402, 571906450, 1051116489, 841857991, 669918729, 555387258, 576181664, 341467050, 188454460, 404220724, 513469734, 322563479, 901205040, 823251072, 1071638574, 1039213373, 521715397, 284613160, 826244161, 764054580, 711677249, 497108887, 656283793, 603403530, 772686314, 260093171, 765277570, 549413679, 669910293, 138697252, 458548097, 661857110, 16068281, 844497945, 876870729, 617514897, 754273395, 545402738, 111195360, 281840851, 680912178, 888335257, 942378834, 80586876, 267587770, 177769690, 614718899, 271219201, 45381564, 342535011, 5358735, 594854234, 874008040, 408222757, 132524289, 914664455, 1040320335, 192302461, 214264595, 698289654, 552944637, 34533224, 659464290, 400443021, 653254081, 753269111, 1034256068, 691167857, 49121838, 1064031441, 765693068, 303667538, 198350326, 511775035, 123186040, 286380289, 416026126, 498516362, 132970142, 453336513, 566768638, 243691903, 369108784, 121799237, 260715453, 104716625, 47320240, 913535846, 637526964, 134478184, 380441164, 266854268, 940025274, 409366028, 291316191, 872849616, 982443209, 174130219, 539873008, 238512054, 80207134, 482745671, 999788621, 659991354, 123902794, 343006479, 699598941, 621167290, 678823054, 413472026, 669815686, 651154927, 580099979, 108170122, 949070664, 566548072, 147013970, 546900, 165944835, 938775763, 595948302, 61334199, 917108595, 1015004103, 250792484, 966782827, 681420797, 962612641, 344238097, 375056108, 569757406, 86715226, 416165949, 535887604, 569501450, 622800371, 93292756, 242487547, 1069458061, 262518717, 542645497, 912886617, 214298910, 641596068, 361473401, 753673930, 544175636, 460211042, 211742542, 360499000, 401780779, 657533486, 416845758, 41460739, 315829859, 719057355, 144227687, 927638888, 535127332, 406847581, 757808122, 466906443, 990460201, 196097746, 188276515, 743100407, 715197638, 1064999608, 985256497, 827758231, 386905310, 950303337, 663426394, 868266471, 935641674, 873959620, 232788730, 788113291, 382971367, 363350103, 1014920484, 164220550, 325439982, 1014654858, 1021781298, 123381136, 441473070, 693526516, 289299329, 916768210, 757743170, 972731822, 810018020, 809545894, 199064298, 138507950, 697691922, 58577788, 792322749, 49964451, 59430863, 1055567732, 783307936, 703711897, 279412876, 743863966, 1057243639, 421064903, 620136817, 338048026, 773357326, 771473559, 926696817, 435349945, 575411415, 441252115, 638371444, 321974543, 865441224, 348489903, 759866253, 119807857, 93853599, 682655949, 125907196, 395650070, 776483479, 924832316, 1047840150, 850008916, 17221919, 366702264, 29954060, 397847437, 57852618, 84930872, 484686618, 615790077, 936150736, 137992712, 266525204, 568088363, 786184038, 363079338, 681985808, 393296097, 43867984, 197976489, 809281759, 16522999, 635957445, 666192831, 423449279, 840078953, 976905815, 1050341984, 716051517, 684900880, 132533618, 865171582, 559517501, 920935578, 558866369, 293447815, 283022702, 954760192, 225015839, 242646189, 945012646, 233768051, 832447854, 966792651, 650404018, 262967428, 835864629, 609028763, 225810630, 362676826, 680510925, 880312653, 526970712, 950694569, 87013380, 683195738, 627879924, 106999201, 274103976, 373516849, 164894917, 187879815, 317590052, 1018471223, 941822898, 831278502, 17506109, 1059065190, 443472030, 739174949, 685838650, 126326947, 229320212, 684308485, 502046504, 470805653, 406509140, 574384935, 457729232, 396887427, 29860056, 387123749, 521109730, 527698577, 693573747, 933637508, 321016710, 90804072, 173130329, 15331983, 105452232, 399102716, 721956142, 412762063, 771116402, 88489910, 325648578, 203834968, 563611408, 117247102, 168316053, 853937161, 641331029, 301804150, 543359707, 938653388, 1058042492, 881922633, 311914105, 263889467, 761275600, 964901982, 345036860, 968048683, 708452101, 102853661, 294661606, 842115528, 152832676, 45834401, 70416170, 962134939, 379618837, 187760728, 331478901, 302847099, 689417471, 784246235, 118456812, 394547258, 561012, 632063589, 653595434, 332060864, 601398860, 206701671, 82517452, 546692846, 74782885, 773283045, 531622072, 811909910, 304672035, 945391519, 185345415, 56979508, 353968640, 332431994, 425962038, 395524088, 584778518, 569012605, 484447819, 989068523, 377993478, 449160127, 324856713, 388985513, 323514086, 1035290376, 972539500, 482143509, 781157270, 719340732, 758961878, 74193005, 742524003, 824693518, 339015725, 666059543, 694714042, 946382722, 119084807, 224469985, 104749102, 594635377, 408975504, 981430542, 14512957, 652607573, 974905455, 871357648, 798332674, 760554440, 161778237, 652033136, 1026754391, 284133619, 687196220, 769325826, 391578834, 922211016, 632847852, 424962443, 992722889, 527165465, 469416142, 4158633, 550137333, 953383603, 625854663, 863642582, 910704618, 350546772, 924203044, 967373473, 113918167, 329538597, 92695654, 707538428, 489276666, 661163452, 1062942696, 570484075, 580632696, 622901025, 775128830, 221058608, 1003722394, 495082906, 696429780, 1017331163, 148807195, 950526090, 538117255, 803832147, 140335666, 173797382, 1021132314, 13997135, 586030379, 383983731, 650614776, 161674109, 795195240, 551064596, 413223545, 616884811, 977402349, 1009967044, 159663523, 148062916, 743725929, 274471378, 23811331, 544438535, 884581685, 722916688, 1038353593, 60571891, 138836594, 192223935, 407112008, 1026748727, 8858977, 420309577, 302491047, 764808705, 95943751, 294972108, 542548063, 762282278, 72139570, 859339461, 576750900, 821288502, 524713900, 867601576, 360344452, 815993327, 359260352, 724237074, 885310967, 448500172, 748157585, 322977071, 833082144, 245831646, 749318512, 944496966, 613266239, 973406438, 26215538, 1036394238, 238959386, 814108487, 592161913, 996506153, 952928018, 735680911, 109538699, 952587815, 901055057, 154082054, 903547153, 869331415, 360266568, 921294200, 154015063, 26523158, 722522507, 625988547, 247917682, 857067982, 1063939956, 331861340, 823357275, 509938683, 1044399342, 872283724, 1048430257, 716845368, 822041816, 581623567, 675936766, 1021434749, 661661761, 193324845, 718693394, 94844995, 325568641, 151114428, 544228336, 651178055, 1032437083, 830134431, 753291568, 533774723, 36576418, 802420857, 1070954630, 991027739, 989258135, 528927470, 1017954259, 436944027, 784469212, 431575888, 876170724, 831310297, 577693671, 209494297, 590917059, 788058778, 298444232, 1009946945, 1006350276, 928539833, 361182049, 66815074, 479094237, 952150922, 42994309, 269790869, 173206370, 826337830, 882144943, 5797323, 722072195, 130587915, 45046440, 324506743, 220130657, 569112519, 334635812, 556167340, 607508801, 110199061, 735625908, 700345545, 124030787, 64922095, 201257653, 594132753, 386953536, 927413419, 991469765, 454171427, 950680264, 844925456, 93043216, 440567600, 726934076, 886331691, 110192307, 366309389, 35528088, 299602005, 814823982, 570224402, 456945047, 12557563, 922883706, 384906703, 925148886, 157428133, 697594922, 548975611, 748966078, 458415968, 57004, 141490715, 712181707, 93554552, 166518993, 549212609, 834380755, 764479575, 283681625, 240613318, 687947707, 588254500, 642894195, 881557934, 60583633, 108751719, 29572680, 253927211, 877454228, 85579386, 10191183, 302262384, 590829935, 824027692, 496886687, 516093735, 434327232, 205204527, 633898281, 587843656, 979154146, 1062762238, 649945607, 8197994, 47458650, 783527423, 1056644344, 852780418, 621239109, 895293697, 185052421, 279244176, 222550927, 426705505, 747948227, 607365991, 923906923, 675393883, 433538872, 392039240, 411679088, 820885988, 99568669, 753062567, 300655877, 24719594, 693157206, 223170959, 1063306945, 786477004, 1071303491, 879849940, 827935475, 656510171, 197190350, 421639937, 201023286, 217689598, 296963819, 415206472, 748666213, 531413139, 104513224, 597723443, 546302195, 642440030, 849570975, 372046045, 287742272, 924466947, 173455744, 183535278, 839115340, 698364202, 934705990, 870845799, 978274479, 134674466, 992758462, 790855808, 329351681, 330549476, 1048896299, 404420891, 952266146, 624765094, 511053072, 33359873, 667515104, 15294233, 109014347, 555940406, 146285509, 1059365067, 436690848, 371894420, 745695487, 768462897, 383211003, 638411831, 483401169, 772295354, 429257408, 965753615, 293335676, 220306468, 843388732, 923339847, 442860884, 295445398, 78998222, 595729100, 644940030, 215549112, 106966918, 600709352, 743054919, 327168194, 617591944, 332273792, 776802127, 822589304, 452707961, 40056578, 971993071, 380837529, 531288019, 213312967, 137996945, 281850428, 70223567, 675147739, 504323074, 1067474818, 228552711, 728967315, 448778471, 959317245, 64107631, 714214964, 597049916, 961797736, 1020896622, 1011755623, 968229273, 990987122, 9706745, 1019356412, 807790205, 130371674, 452283776, 853949988, 8698124, 98622048, 866634749, 169736547, 60504798, 632478442, 607809808, 881201382, 7928422, 936542412, 813295862, 646394176, 66162051, 465566665, 663810319, 123404609, 397326740, 1025344057, 251073267, 879366347, 262958289, 697266803, 64211030, 382811525, 829862885, 703105896, 1069633057, 42282836, 643332352, 503194201, 509555745, 525704991, 259072775, 938489935, 384355641, 197111274, 775308484, 801860764, 613556637, 772997560, 303863264, 55984006, 711042929, 719768162, 62622499, 925330794, 691929046, 700665833, 63997720, 1063610012, 35664802, 20605104, 486432422, 280930549, 971399039, 398631566, 247900707, 343362152, 140426567, 450605091, 569732855, 625220764, 538258092, 302358051, 352821219, 743641448, 66975615, 694618237, 770503528, 616995020, 212395352, 177736758, 221981972, 855874948, 194491960, 258087433, 1004843198, 873376341, 952765938, 69255877, 152831956, 1054847555, 396067180, 906371127, 762028281, 96331199, 319374816, 616370102, 756989068, 724499110, 976925453, 599166438, 570249962, 771704840, 860152756, 242675281, 962125518, 965811408, 900856933, 286955460, 710566134, 993615229, 98350429, 954480687, 1044877449, 669572179, 669799339, 821803903, 355194066, 415114799, 734075183, 560212103, 505556682, 468771371, 471972149, 762665916, 373553953, 458284807, 510947315, 36058059, 622318703, 986177869, 573583893, 300163565, 322485172, 120668368, 891446501, 535186209, 774804910, 626053101, 560656129, 486281173, 913570634, 214183773, 967887709, 883463522, 133617601, 584276317, 400162569, 881492222, 41681761, 36798661, 576614228, 734861659, 682707671, 802118143, 719096412, 911817670, 172176697, 923052336, 528209292, 182972256, 674541021, 465657554, 891345032, 997162632, 387258525, 325741191, 217808600, 89858609, 488770597, 994383058, 962509243, 851869531, 294404215, 576085185, 123521385, 179242571, 638815050, 1070746973, 641145427, 710219891, 152946572, 857062680, 614196045, 57928464, 898113113, 326782182, 267260675, 855807048, 747859749, 758646442, 549142605, 803037645, 228681975, 1031486947, 529752466, 596761845, 312426787, 927697623, 216498979, 328582665, 36441011, 341024909, 813103064, 252284075, 104188340, 215026921, 1016877138, 947734600, 127278810, 561334648, 459480962, 358969720, 599436037, 892234805, 289118852, 291773622, 66169074, 253797905, 252326984, 912169257, 1006844227, 250339748, 388753817, 1072514530, 418660930, 1036847261, 782933457, 725289332, 54141185, 950146361, 965467163, 681055880, 882566313, 990474246, 116151384, 216482640, 987582134, 97885810, 496752665, 657497243, 892386835, 495174498, 1064459414, 347524516, 324160168, 1024895591, 654130882, 662792326, 391483095, 932020378, 13767978, 1061532785, 1028637939, 243286838, 32874997, 241027681, 705622975, 273778937, 16338420, 733716281, 841741327, 291408141, 425151820, 76374724, 680954741, 915859197, 859152987, 638237864, 201985799, 633566812, 369162435, 264965059, 267081151, 354146498, 282987338, 81529939, 1058681071, 440309792, 799173301, 385182844, 288901543, 69060843, 64631039, 78146390, 243208427, 616780766, 353673119, 10252149, 363377687, 139552873, 734306680, 763379459, 551343363, 709661667, 92123271, 397907413, 264026304, 200862978, 289844650, 61435387, 1043399003, 58527479, 617166526, 936363290, 211423078, 1009188668, 355622989, 987426890, 33606313, 557196623, 721616525, 666767430, 1054101927, 506246747, 833216444, 597372613, 1045070560, 161700598, 335731178, 94944174, 1070093653, 738209547, 44454114, 401717174, 142692914, 902972337, 697647061, 240024048, 916702886, 987405498, 705642427, 1005558269, 917353894, 299940027, 555051014, 1060809051, 432314762, 874673096, 688857319, 937677926, 1019676557, 113441136, 836252898, 499347226, 346740567, 754920687, 635281469, 153205685, 823179368, 411584539, 256129452, 78845375, 627730846, 699737057, 817587806, 18999412, 585917700, 77084416, 894023822, 688844986, 812893325, 8393003, 275330503, 188604615, 953251203, 446860077, 896586445, 335858776, 849071031, 933586354, 688426843, 360062269, 331416586, 815246492, 716635047, 311576769, 987032507, 950220400, 271012281, 1050830345, 236099600, 821527558, 1014921296, 193527778, 869872541, 775771931, 641805067, 971627273, 534094913, 246184148, 154507476, 1041806210, 424116682, 93626866, 552393429, 184518332, 270176495, 508419821, 1042536403, 589270884, 224081548, 511375253, 453663631, 79363462, 459770109, 972267038, 320616379, 763088882, 488547308, 511595609, 44927433, 572307015, 821520083, 887704487, 813678820, 615530034, 754795498, 143459739, 832051144, 878708504, 650346986, 748212955, 152972541, 154766265, 802933922, 824311157, 105365205, 979933540, 38483399, 775680437, 111688331, 449448318, 1060750990, 707146227, 232065379, 887657323, 300854848, 1061281708, 210883506, 585526872, 596604990, 792865209, 721737430, 330697369, 1060396546, 953336236, 237085875, 135453747, 163130352, 873112998, 919595660, 969623160, 419383494, 796566570, 484471602, 817703878, 593875485, 967859412, 116482584, 295475237, 983069467, 1039870190, 43739342, 203411071, 393731875, 125292594, 68932617, 367140455, 436941421, 648683825, 100444676, 1049605540, 115973937, 64073515, 548307622, 572108263, 554580420, 563273901, 338010251, 378146651, 1060159459, 745064985, 414357342, 456133019, 29821723, 31532088, 759581171, 988867472, 254789870, 46264837, 471532253, 623609315, 441116112, 265878312, 745042937, 336390333, 18820672, 78303346, 548737505, 102609618, 655439774, 297346662, 789439137, 600915983, 576587966, 629685004, 911434006, 47433188, 300331749, 1054398071, 980428386, 525482976, 825883278, 660887993, 374568861, 872395558, 86625374, 941268575, 701390093, 1063629839, 980328379, 936625713, 270673883, 566369794, 747882159, 418268189, 1035785523, 144111075, 275714621, 173762025, 115113018, 651793585, 984714113, 100835251, 1028337908, 138733708, 898716225, 277184530, 238730033, 878102032, 440291205, 302260698, 966259930, 475608122, 705535026, 322404090, 919023462, 511634997, 194783117, 391959634, 407749333, 238129213, 624688094, 746990038, 309958190, 793817514, 493932783, 902337461, 719616483, 959775327, 1021916751, 349405120, 122592515, 126499721, 447444853, 104368138, 448940932, 820976846, 28428042, 1052767957, 123757668, 327569203, 814787472, 393438573, 691715521, 446684810, 203243117, 912117310, 7153137, 514099745, 926163724, 966106939, 363513024, 798636446, 861970127, 852076771, 579730666, 462599900, 843596715, 1073634192, 917763610, 400709794, 809232413, 351895233, 379710983, 322313965, 772242104, 532644754, 644661365, 802318293, 25112306, 1023309210, 170110188, 136831270, 357577890, 988102057, 33750854, 11666126, 997722987, 507684476, 624333667, 587135338, 38263300, 466249736, 379421712, 750441800, 405028758, 818584332, 605608606, 68718472, 777334269, 47311534, 150750056, 1035356472, 247373012, 174562784, 544740467, 743913909, 23091441, 434994676, 305998696, 905210573, 73326876, 382775369, 841075484, 702879045, 959703547, 286739183, 311150905, 171116065, 646071238, 613382202, 136326131, 184925755, 859343899, 766500016, 409683923, 889942595, 861427415, 966831817, 59397873, 985844536, 134580696, 438028924, 490415079, 306266150, 578646384, 271179932, 36964895, 550878799, 490103781, 24222468, 570030563, 1003718521, 30394652, 799745393, 192379730, 771678149, 242584662, 282498279, 573772578, 945774073, 918114179, 560017192, 951631539, 429012236, 572986623, 852931904, 873311058, 765613652, 870886854, 759080327, 358772984, 100583000, 410031336, 362228533, 6974865, 751558255, 999813524, 670155733, 1045605384, 624840956, 259871977, 872547761, 795521772, 669568744, 170797820, 553867533, 1042393434, 45734698, 829495211, 931776062, 1049346923, 432760618, 194984044, 443494465, 101124721, 1003367069, 576050335, 274333052, 818012916, 378965891, 188828618, 297857365, 108824968, 396616544, 610375747, 473628334, 490270740, 953836564, 1013632357, 851786691, 211615210, 978883943, 837920175, 289105504, 186809326, 878375298, 469060235, 383505034, 827740111, 12661234, 60141882, 774743592, 501968284, 1014654830, 188167451, 325792227, 888563336, 343313509, 294216813, 299283944, 638063566, 166340113, 1027551693, 596444964, 831268984, 956344377, 453427999, 696784702, 492389094, 407372332, 12478172, 249532730, 343268606, 381014907, 504776415, 644435418, 399212712, 190938943, 131696964, 948915680, 920589518, 203307319, 679807495, 1062590163, 35069251, 63306816, 389144319, 981517831, 678093739, 260821683, 71379607, 488745986, 846261312, 1034393005, 389237436, 191825400, 851584442, 633930702, 810769464, 702225778, 685154018, 757753947, 151898615, 567052623, 736501170, 639010081, 429099603, 348540674, 517469498, 847599874, 885726199, 125732996, 935752532, 1052304815, 450193287, 491680266, 298694819, 508732703, 1043288724, 880517785, 204765790, 250232309, 157440644, 590971583, 452905347, 222208151, 430058541, 38387094, 892394652, 653420187, 323287660, 4454465, 517665361, 365094430, 975402194, 977265126, 1045395589, 1003989336, 348636010, 495124985, 1029678198, 650349153, 704107157, 569836806, 1044788691, 292843096, 135708056, 55466023, 34136157, 674643007, 602557920, 797610203, 931100767, 914977670, 45879090, 681900337, 69838489, 579009530, 864776742, 778656938, 735435732, 912302706, 902807610, 614427568, 492016495, 790842193, 169277201, 635656284, 924656783, 843211188, 290374629, 135371948, 289173701, 1000631451, 488832867, 280583404, 883634314, 510207604, 1064477556, 192517448, 664063305, 562659793, 472724562, 221343140, 485916437, 498013307, 371150716, 964457125, 175050510, 209144851, 208042110, 914611268, 783085050, 658191207, 252379876, 619582801, 254483350, 980703680, 134238430, 1060832109, 122899830, 569873111, 838241375, 589904965, 767454575, 624495804, 216428957, 674625008, 377812600, 1069640744, 1041415133, 519567004, 518843787, 661168996, 615045227, 651090705, 944170725, 659389024, 763440301, 690679058, 448729735, 229930626, 220374868, 901548041, 392049147, 375922011, 426601609, 69067211, 426985324, 213932726, 361848819, 685776121, 632594839, 253434820, 251642111, 465659408, 60588768, 861336009, 287669788, 525806049, 205549648, 497284941, 509738202, 995086695, 826063030, 379920629, 84949433, 567188086, 1071966263, 589817474, 403714842, 822738645, 996990723, 816003962, 835402456, 990060175, 717666282, 171025586, 775026002, 366146119, 789796928, 669919390, 376740087, 675588729, 488854687, 958444007, 1072689844, 925273227, 978189005, 862537099, 1061322716, 974546687, 298347286, 270072016, 15730456, 416484431, 872070282, 854411733, 515016581, 1018904282, 873755621, 608349154, 852373573, 28733098, 7559609, 67434263, 930932585, 344022428, 152019506, 17773403, 1033416057, 848616725, 157030796, 707438990, 17661362, 648101091, 599274855, 755142035, 758560286, 471174205, 644947146, 339538813, 1071127245, 375396249, 316707661, 546108537, 161448839, 137154495, 666053105, 834949548, 573827686, 1051550276, 150765609, 12861302, 842785345, 642416950, 309705489, 956452780, 469132216, 433559349, 968277876, 855331828, 848958086, 645391362, 488127793, 408499153, 869644543, 271966065, 847354235, 344360072, 445415820, 391205316, 244277348, 25439310, 723964295, 421644216, 274638380, 50767429, 425985938, 288693482, 332306225, 773186075, 167260212, 182850497, 445716799, 40863499, 501795227, 807440614, 529525406, 210473485, 828902890, 393603062, 125563320, 590699081, 804063375, 953856890, 575491304, 590184864, 444870488, 522976953, 590278332, 921137905, 424528809, 213194811, 276422610, 374196372, 230650494, 1030730450, 426797151, 212798709, 88713837, 454075891, 512544919, 220896694, 13032861, 592530602, 971706055, 381505611, 747935796, 294621540, 417643014, 281326593, 780796559, 26932702, 605888607, 819250750, 684000076, 702832202, 720719014, 35585340, 966614657, 963461710, 634511912, 235208804, 249503019, 28322614, 109305792, 346101628, 607874013, 971388899, 989797354, 622252281, 164294775, 56940141, 757039633, 588346377, 654199376, 260705746, 198330677, 945099577, 34996477, 108970587, 832416779, 857360280, 345788177, 448808126, 270277915, 610863905, 176925124, 960536649, 779302660, 1066454839, 804664309, 75409402, 387916315, 507833499, 878118215, 920093764, 121128619, 18013893, 53878556, 564887500, 978361897, 747665137, 323182798, 358389419, 851495953, 415929952, 463930417, 720715497, 630330915, 136773943, 226631642, 182519769, 896358780, 595015346, 439875079, 252952452, 297003519, 300927039, 57977311, 154968961, 617883879, 266270037, 670072296, 3162781, 739820434, 822130997, 250765307, 823023714, 542320558, 417276459, 1027554992, 37100304, 768400397, 342647343, 434704471, 667539422, 419740970, 647595312, 375219187, 850244388, 246043808, 562168389, 512330103, 272914296, 774427286, 226046716, 390259345, 857604430, 682182498, 1045546324, 971044168, 443350065, 343522012, 227222695, 247366114, 1012259043, 923032164, 851997570, 313161983, 285057389, 1025136568, 997206333, 176394912, 126395973, 444162491, 770521988, 1017839971, 528810768, 505917084, 626698754, 225008145, 852758615, 487277150, 969359786, 174463098, 382951318, 509132923, 1002458659, 981832563, 1035456787, 626333936, 14538601, 487156893, 719483735, 249341676, 573663409, 877482377, 610426987, 963514470, 807698540, 837882631, 353464454, 294636759, 306115771, 304919573, 6528876, 808225972, 992842031, 79021131, 575371324, 323140268, 1035467794, 207944610, 889593942, 611397218, 400871995, 833743718, 176731855, 776146904, 407045815, 151646007, 519341067, 257293674, 1053113716, 223350419, 362961152, 690481614, 350745883, 124017024, 526311526, 655215791, 859487999, 338055494, 44733119, 577183143, 158647551, 917257437, 628910244, 382269707, 337148231, 179823901, 89765989, 601422677, 138435986, 170155582, 636351496, 1072392963, 1042168045, 331399110, 790422927, 289590284, 1042979508, 971634733, 643142678, 466017848, 328536640, 659120262, 679555705, 258793022, 210154492, 280942383, 56698658, 855973784, 64029802, 404711962, 896961940, 344854723, 907567585, 630710997, 818009193, 548001365, 828208875, 952527449, 217034245, 401819200, 228882470, 279198023, 172982747, 168969135, 518179507, 887782699, 1058796905, 182061200, 1057538402, 801910691, 167880419, 697296169, 610889152, 868794019, 1060616015, 222452391, 636093136, 813168569, 422033835, 685212529, 450585610, 156295264, 606165794, 794932479, 520275003, 837539274, 900395700, 909941020, 588237014, 1054866488, 133789724, 1026586756, 188518640, 625498353, 609331371, 573588846, 795103680, 283149638, 875620765, 505200161, 948521901, 144310996, 841465861, 307323787, 870898762, 173733421, 423522302, 605893460, 961803109, 704680918, 6154932, 886034732, 496589261, 579998380, 902282742, 665908094, 979826424, 662453141, 611988404, 780658158, 534242322, 19350871, 716439739, 681694802, 704093421, 557405053, 337585128, 364028950, 181166006, 760527058, 891487781, 238630560, 662406555, 836972412, 796061906, 694718820, 758007001, 341169186, 61776633, 13853867, 364213485, 364671618, 681710435, 661601437, 336150593, 14437103, 817007640, 444246559, 97477237, 333550586, 510041115, 272719756, 150907244, 886532341, 8459999, 408292469, 897458370, 342617494, 943926831, 324174891, 807388846, 166808104, 736093804, 397830098, 154984235, 734035282, 1041092499, 493285853, 588379780, 434482389, 610457792, 1008092958, 642693423, 1026301193, 1028003079, 212306287, 1019679409, 326610276, 602330964, 561631661, 853230824, 290712630, 131840084, 520261923, 470955294, 316120898, 976833985, 936577156, 242376626, 112688451, 470314443, 619302614, 190387238, 467616186, 869378401, 624684654, 906361487, 339896752, 69486683, 761542680, 398891641, 51121558, 18621142, 1010284817, 134316183, 125076535, 696029874, 968363100, 284214432, 699804107, 1015857724, 333872850, 106804091, 308120863, 980329604, 150486121, 627905523, 754109304, 48085113, 286846650, 670288301, 1021250654, 462791759, 216486443, 96310925, 81225754, 850425436, 682159325, 694803168, 790661058, 314807681, 1066360824, 866612650, 996467461, 1052168905, 735208301, 986343609, 260617216, 751046119, 543681638, 948025983, 627559307, 829543217, 183401307, 622928777, 430967335, 201937856, 560270803, 762043776, 9490829, 307966351, 859836884, 928187542, 998122918, 118413655, 765534785, 4400543, 211629657, 926187001, 907671541, 713813603, 505035158, 533816759, 21240348, 371661507, 714196798, 1045276913, 841772910, 1021038361, 558764536, 937102035, 185079322, 624691411, 1027028245, 894833021, 996260820, 342670369, 6067815, 332099421, 270167240, 57423619, 246490696, 393139911, 165975394, 748462708, 314433457, 1041879669, 968268290, 988044314, 1068025928, 989086577, 497399132, 157940540, 471685730, 424580533, 418575370, 684317881, 147243762, 1069575959, 69078042, 241072202, 60826598, 184658116, 376611377, 576092767, 1010645731, 994019864, 153789412, 864414262, 477815495, 775158328, 858110203, 14517339, 120637141, 686090151, 26427996, 92187856, 499347290, 287489912, 619183749, 957780734, 931807028, 935588004, 709354014, 990601942, 187506320, 952191938, 608902623, 57298595, 740091376, 394675532, 60225279, 769466572, 951442817, 916018967, 975890307, 666310877, 350811927, 183717402, 215534957, 673647326, 519240910, 899571099, 787795636, 705746937, 405561519, 862462898, 932226036, 599625948, 766997929, 429326731, 865877164, 619843796, 302051079, 186885673, 665342604, 765336393, 823991096, 804743924, 998029176, 798297630, 80964704, 660050330, 312520210, 33047084, 2766165, 1046093271, 651569727, 867723272, 52662326, 375064984, 468685657, 270464481, 695263689, 500199209, 588197885, 516883584, 614396861, 820960842, 454903249, 370258378, 202628348, 100859691, 727511384, 714499962, 273294694, 637239031, 826894321, 74952018, 539545705, 576951092, 320173260, 141597687, 733304390, 1020412723, 481206686, 69990078, 255567668, 56078584, 383630478, 705996583, 716595646, 709982752, 330833272, 442660031, 617485668, 806965201, 517453792, 91306350, 642535960, 83287949, 359578441, 637215915, 848852876, 35777167, 154642492, 691538491, 16126155, 122226245, 966733181, 106613658, 562162699, 701167263, 910286838, 271587115, 503285971, 629085759, 829762626, 29085261, 162105911, 982158024, 5724186, 756369781, 981832445, 819224344, 396363385, 114914208, 594359260, 445863645, 48633687, 315160004, 591176770, 150583393, 314376407, 406204944, 866234190, 993586306, 989956323, 228713270, 851401591, 765702844, 740946491, 217271248, 701417789, 636197196, 234251060, 878980661, 198028345, 287859797, 626197668, 604499837, 943285492, 878016228, 648835669, 332542788, 465714413, 195147577, 612116625, 931671940, 834696557, 438360268, 806895788, 741791849, 918764472, 976030008, 676686956, 33369624, 552042022, 126684567, 410848314, 674757026, 362031278, 237325114, 806902849, 735910881, 746086099, 318698448, 910284057, 914867854, 67883523, 228697953, 834961784, 162519836, 141625875, 80205137, 684063268, 689766087, 74479635, 38413561, 1047032988, 473111544, 721708793, 91615211, 657856226, 851843018, 945171021, 1072214417, 847388637, 729696991, 831985709, 497954689, 1014135400, 157572055, 607591006, 177132685, 953183379, 126512609, 320832130, 1055777969, 72325781, 98128629, 825428579, 612168031, 147503967, 896706270, 436373623, 959750353, 230718136, 538470489, 435133052, 988929855, 59808043, 921700887, 558135546, 46240813, 892044736, 550022503, 165282667, 898741683, 621970465, 310787624, 221669955, 566525528, 238170389, 89043209, 878003333, 692090680, 376192393, 383620090, 162379850, 454138658, 129778517, 1006256928, 338579742, 445779881, 566742874, 716882911, 106846501, 887331848, 1036621435, 981351364, 33206786, 1000605133, 869064030, 623262574, 357749259, 1141680, 371299795, 504574938, 994672049, 987924778, 362647558, 399709107, 893184615, 408365507, 868663078, 377565247, 289830612, 450174554, 34549623, 281935081, 768309535, 238899727, 197528428, 566815492, 373391065, 559659645, 705820162, 1072800405, 323845142, 860836667, 380891762, 241557667, 903106403, 997356100, 446557219, 78318829, 424601921, 660240166, 385939783, 474505648, 28030064, 542338922, 476826618, 861735377, 883179647, 737773372, 362846772, 400520917, 788812636, 68166796, 357514318, 873807523, 541379050, 252582612, 325399763, 435772022, 792224170, 672771273, 742097482, 624127306, 408148549, 290212485, 854327867, 714398588, 765144667, 946081738, 470507354, 161999247, 64823920, 168940646, 537847088, 184680212, 482229083, 113473393, 444017753, 319530441, 635618177, 137482681, 565023441, 968822439, 923232246, 765509421, 31069582, 1017588998, 721459118, 371109298, 216578820, 812678218, 535232314, 646194049, 506907287, 670085227, 276927444, 482573121, 810626277, 800486249, 481177784, 927150046, 756584699, 242411395, 690963433, 370235048, 608177405, 402116420, 80982062, 1054694052, 1008514112, 604281998, 1042246740, 930263271, 987437160, 797759345, 124293365, 151018720, 462161128, 1073100363, 551907263, 907238380, 397844029, 465754934, 315776451, 294983732, 1019159218, 255597317, 486798612, 770571371, 287890538, 529870092, 727582374, 163812770, 388251924, 163308688, 518975122, 681277135, 971155448, 397730597, 1034537827, 421416930, 940232773, 1041707139, 753661246, 96515671, 1056854608, 535366742, 766612563, 676411038, 875207355, 818811014, 650743575, 444678134, 747063459, 72764039, 219880814, 73410333, 982850515, 636460842, 148310250, 1027534007, 394597793, 476256452, 453182091, 229952131, 918109256, 251338510, 715103005, 172654578, 164433104, 682266972, 544096986, 463812126, 796948589, 336157370, 428902254, 337266471, 890531112, 271696601, 652588025, 192687980, 56631510, 577295183, 912178260, 465144809, 215877882, 487052373, 648435091, 849197978, 13550616, 827350560, 38292356, 855436342, 316477776, 726288285, 182752095, 924800251, 751164340, 280147303, 809304540, 430902953, 628020207, 610689365, 694793336, 1071540051, 90922737, 246754885, 343228317, 1035712423, 121994011, 998616431, 986372225, 456328943, 391922894, 982158272, 284181361, 989536621, 1010947850, 241443873, 92132304, 588425227, 747517313, 178195730, 890736235, 892024605, 1020129682, 945328004, 834089925, 28861012, 504480819, 172109272, 124627444, 6982152, 500159120, 346040098, 870230987, 447667197, 678501359, 393982969, 1018490839, 998568760, 172542831, 275257457, 799297438, 891523640, 523436809, 344234499, 882930768, 663197205, 290860127, 468110854, 331160671, 985558265, 1033398462, 427771313, 670177683, 399974889, 790778254, 507421207, 691141730, 609914247, 721560583, 939577972, 803607263, 821124299, 790554765, 329331005, 344201983, 432699391, 459869265, 449120581, 400697025, 982531308, 242814466, 591127996, 708258675, 823620454, 347892189, 511305471, 47203686, 350211809, 277360235, 384368874, 615639800, 910788173, 762780066, 96441159, 439861822, 661410857, 685967677, 224625958, 866575533, 382561784, 832039011, 971815870, 827286774, 74279262, 486440032, 426479968, 393065070, 207075754, 293426948, 93753315, 1010523068, 886325078, 858738676, 101103548, 587763687, 1026574424, 1028291561, 206263870, 498871434, 670769031, 504735728, 194945828, 151768920, 934881814, 280244836, 330120902, 951837805, 381368633, 763819129, 786350426, 109037721, 143777140, 225910440, 521513665, 234813181, 774633711, 270693328, 652982231, 569847498, 815949895, 486927566, 348440232, 771766084, 1023685257, 862274100, 166323193, 971669297, 202614211, 1028460792, 989234257, 345852735, 637348920, 662830469, 81760531, 1062693251, 521724996, 823699056, 32183170, 491798251, 162641934, 67736270, 452481, 264524323, 610111767, 42487251, 206129714, 459486766, 885367926, 624078812, 523195898, 758962216, 875893243, 47461506, 153044809, 476918933, 951521696, 88832845, 882502934, 460762259, 593342581, 251437998, 382987539, 321693426, 186162012, 669076342, 554835216, 150430537, 265442040, 685135394, 406656672, 573225099, 981003021, 952586132, 247558709, 1012542957, 747617957, 1040346176, 347470759, 77021810, 117046998, 631706679, 604988357, 430092804, 467711608, 479043342, 418036346, 34749455, 48748246, 670406000, 217624794, 1073007698, 108610845, 695504852, 458388848, 166588598, 865176708, 840167763, 82679323, 429290959, 1051026733, 123791593, 677034777, 948816218, 597980107, 558302090, 968719847, 820624744, 287622342, 419954897, 476212469, 264181652, 256053210, 452649864, 392803440, 868630221, 833381571, 631676448, 866234544, 454417222, 303846355, 240360641, 336557825, 447728687, 430486065, 960661971, 332454601, 675088968, 716844283, 184375752, 1072574080, 282366983, 592206781, 761297336, 835715235, 701016093, 878591705, 100240018, 250635279, 713117725, 665632661, 1046096379, 571734730, 1045035390, 886258727, 282044257, 732631582, 261960286, 331194347, 546632238, 571740946, 452533031, 124272032, 579715520, 550353372, 845653632, 457197931, 379186710, 175443269, 1005653658, 24176634, 599391568, 322584891, 84187692, 1005474284, 692869521, 438946742, 778122964, 464139849, 126327922, 502604558, 66831448, 172436757, 7638963, 775270667, 167776902, 4076857, 970111357, 583735474, 934014212, 67793725, 230403627, 592977042, 822145327, 993285181, 900944275, 77367536, 731697638, 983014174, 610334329, 119975299, 1026993834, 110722952, 387621020, 172954397, 692995242, 1066990863, 690597695, 622410515, 75409787, 496738452, 458938027, 303465095, 520649443, 56672902, 634892951, 852425915, 436678208, 123640042, 698748525, 285691928, 52168776, 493786174, 390369134, 8066796, 34515750, 564535675, 68820141, 302749195, 765659436, 973124720, 22999737, 118060822, 344724763, 105450152, 342224205, 1029033388, 566168252, 852979622, 885617371, 808801020, 333134830, 834298410, 438446967, 754420515, 576266460, 403898828, 375936736, 880519796, 136337321, 795922092, 116485036, 694354778, 235457300, 696395884, 492900241, 942982722, 905556365, 356231894, 284123635, 566930151, 384169219, 802818165, 580379764, 305183452, 93324196, 511077476, 764253698, 824669859, 984488937, 461686016, 726210019, 420345845, 752644711, 669065640, 728602335, 427225659, 956338765, 401280288, 93637175, 32304214, 809780665, 845643278, 858887808, 375166214, 127052744, 869050638, 777656389, 283173462, 222340230, 33343668, 4614026, 858033889, 995858931, 383968183, 454355300, 394485337, 842990186, 634802298, 966485596, 878822442, 157063342, 933654560, 568196976, 363477099, 1033574387, 682789749, 35490357, 766821524, 735600920, 322820607, 48493232, 562061180, 161322877, 738835506, 576006246, 390120585, 300582807, 319771794, 416358419, 704864754, 628580277, 928240335, 1073393800, 1042284028, 634542351, 719380138, 319560583, 769231434, 1003607530, 513483385, 819821294, 960563570, 414152219, 440942944, 831731269, 916003730, 924730801, 446093462, 433378245, 867982565, 420906043, 315480021, 201751473, 17995234, 742551804, 963339557, 98424822, 531500065, 447783925, 728283847, 1023414770, 994337747, 240036298, 278828297, 749442596, 247908863, 1008693014, 216063541, 29375166, 663613562, 1012955615, 57072988, 257236056, 87415611, 450694469, 848512276, 557150023, 862987046, 859045381, 832162941, 162217878, 99153933, 898157207, 273340091, 467586488, 174944122, 676043160, 460705824, 960160912, 632904743, 237520538, 424297025, 250388865, 252104601, 1073365264, 650771274, 425467029, 77284933, 314171962, 982023611, 257861204, 1056945752, 657238150, 201083033, 563220302, 961948045, 928824981, 330399537, 875962385, 410188903, 879879607, 775687980, 956648420, 362450572, 907640688, 216161086, 827133972, 16118858, 555959691, 700401864, 32934314, 816446228, 195035755, 478986104, 653360222, 803489447, 412071450, 605896372, 758715376, 912012181, 957915377, 905601720, 837896458, 604589081, 272050551, 544681821, 1014002652, 92275521, 163277720, 1013256193, 674981496, 864522983, 741123240, 884734049, 523574179, 22424319, 662141496, 693558953, 720475155, 690002247, 573121769, 75665726, 466179243, 699992280, 823735207, 26468255, 311974893, 405178551, 802499159, 213997644, 695035692, 928230483, 419233891, 750421155, 276506967, 484449826, 159161125, 698413837, 240379135, 5776523, 450555739, 97681528, 39726102, 258019452, 502742868, 258569117, 550163608, 313266083, 716905724, 894471650, 349569496, 756644110, 899133220, 296497916, 382892447, 639108779, 501364928, 324430483, 262723138, 171597533, 1043069030, 945770231, 992432465, 398448151, 346563370, 931122555, 228882081, 186932645, 948364501, 826049208, 792558669, 112236012, 917732265, 710455185, 549252270, 828971402, 357227909, 193343912, 1023345632, 409375468, 326490124, 698096070, 87532992, 304669910, 291037335, 626910318, 779998138, 839234914, 570372844, 1051968219, 779696810, 750062355, 392082628, 649815294, 562299758, 866892843, 359042751, 728846466, 229519839, 424089653, 719159393, 165567525, 180249372, 296158418, 810789321, 318845114, 714107462, 590112029, 808512664, 618522423, 671047549, 475788971, 1073333791, 641035538, 393545053, 630006690, 168565542, 694137189, 827884335, 395879397, 300300026, 418450207, 521460565, 712247077, 271790824, 714068226, 547398721, 819934506, 244373270, 275224985, 751640516, 368349791, 749444633, 372894493, 251821840, 334032389, 847476422, 43438664, 186881559, 345948317, 473333443, 384557516, 197489899, 758997570, 411907717, 180512004, 375121531, 280262757, 723695673, 670369827, 229273213, 150630725, 735787834, 53859184, 194724598, 877677984, 528572757, 463929639, 394647400, 187597970, 672733393, 523898245, 351246994, 299862596, 103746116, 178515162, 586550965, 691603544, 219204523, 775587752, 31267552, 1014328348, 397960316, 8516196, 813523782, 208829596, 599244018, 214561970, 638907302, 151523223, 252462154, 675848698, 818910394, 938011759, 1026268419, 47178860, 667756221, 543914468, 1067803289, 533921336, 314128040, 64303278, 520331664, 878024232, 27531611, 409397514, 588227771, 62690090, 4157807, 236605832, 293589930, 204514197, 462610868, 348314326, 320491916, 566390401, 963537951, 653253858, 48843132, 329713958, 680068663, 18157435, 715302459, 368870301, 1058561859, 564017640, 449256735, 113405139, 555978330, 563187364, 986567871, 678220531, 944202878, 438833691, 29281130, 112549212, 1006699542, 491341692, 61014894, 919995401, 488411187, 968948429, 624403482, 774685176, 1033026756, 59559317, 791455106, 166558805, 525375670, 452393190, 328999333, 4780252, 183973797, 565710303, 894050368, 808671175, 463017515, 33700006, 969751773, 1017365557, 703265577, 586467575, 203986787, 954395381, 918199389, 1051412902, 172531717, 856382556, 884524510, 84007723, 31866180, 511594404, 974942285, 553979719, 683274042, 1024557562, 46520639, 537239604, 983103980, 201234474, 179000681, 705046266, 1007037790, 888918107, 638019830, 769692651, 897344191, 1046008984, 198138339, 997628688, 35122870, 408985631, 147546439, 684364057, 150180094, 1065408056, 238493842, 181143796, 130482316, 461597243, 610392427, 292179579, 116251462, 144569103, 9875767, 395342438, 451617235, 707221617, 628186807, 517525409, 800548424, 679450117, 230821400, 175916861, 700248404, 542719015, 202434926, 87804319, 336500775, 762669325, 352777047, 708655288, 885035034, 449419419, 817859700, 137536276, 43176959, 262222690, 125345446, 920503149, 413025485, 234613724, 704992883, 773690460, 461356070, 90730087, 157338789, 655379830, 457123184, 954679314, 478555334, 400841467, 153989024, 866336727, 474199348, 68515133, 77465374, 278138719, 296172047, 259013705, 94952473, 122054097, 699080631, 821833566, 784631612, 508489081, 899416002, 790036730, 1011981316, 987746212, 372305758, 383509771, 548073668, 970398522, 957712982, 893023302, 162662763, 171658513, 812320089, 55516780, 1012244906, 642603262, 1064171500, 749777450, 237725126, 551064422, 283237762, 630022360, 607000727, 684457199, 1068549721, 635454966, 235537725, 265528368, 434267953, 167942384, 901022072, 500178776, 526408959, 411407355, 671660801, 442597079, 592951157, 122360131, 569945799, 192911100, 948904352, 815973715, 357629710, 138005609, 248284394, 176570409, 522574344, 874367490, 74064376, 267575691, 87115401, 1011925667, 603668344, 400732028, 125482438, 101762800, 393638722, 125276308, 140226580, 673088146, 1051302020, 1035361284, 700077125, 442229186, 320794286, 559018942, 732182159, 904867276, 104337088, 498685981, 681054872, 573626929, 230709649, 469753354, 381250833, 909281164, 675720573, 853104353, 521246091, 41025370, 543065010, 813299656, 475054034, 96187934, 642246746, 600821811, 286418138, 975063660, 257289226, 591795891, 613548174, 376834047, 22371064, 808645736, 585455519, 466505240, 241532593, 280812465, 954956388, 884412752, 661918739, 914294232, 367270733, 769420202, 332657074, 117810733, 720664149, 755832734, 969573109, 699328338, 540665234, 801614468, 405980920, 361058908, 774136666, 787967203, 330830945, 19336048, 680247331, 930812670, 784623756, 462162316, 987775453, 251431499, 772646549, 955212994, 943974622, 955632733, 826804586, 602913832, 964638108, 576359625, 324123502, 474624569, 113553768, 127263600, 442793163, 414233617, 30544024, 895981642, 796845663, 977071696, 681295506, 330311866, 376256515, 687642023, 151573332, 993860684, 660281550, 966053098, 813791271, 670394097, 992916356, 49710917, 80568439, 714992982, 975022230, 503589636, 533981675, 662723566, 1027379015, 855587616, 623227847, 964519675, 559752094, 646743220, 396597792, 982605693, 572370694, 548463009, 108110577, 797473206, 1025620196, 195271612, 275613639, 752674792, 113150011, 96022376, 701954619, 306250100, 233804160, 474311827, 323907538, 252354076, 582909889, 519328098, 590430514, 379234189, 722045480, 123044166, 567999185, 571261662, 774725009, 81414632, 376703715, 785549384, 774906265, 901255466, 395022439, 1015163354, 803089828, 17356138, 653017260, 694478916, 38950008, 472342722, 247627232, 499796411, 292099284, 1008502809, 131702454, 486571283, 437927478, 401355912, 999474736, 377955986, 28776942, 45197871, 239057845, 617660307, 457487020, 783390951, 475960573, 958513039, 64510326, 250849299, 322208406, 415520887, 164453438, 1023230234, 1002466561, 718998985, 727999281, 541248663, 1024857041, 417461525, 169428034, 303497384, 268553996, 146706265, 724961609, 438749787, 698970214, 397021525, 2682414, 512783765, 22067814, 398218273, 349884297, 560594346, 2247619, 265054342, 241687213, 1014616621, 785735975, 252821602, 921227096, 566103013, 646026449, 1000254312, 329681148, 567792041, 335909694, 780456254, 244087467, 585400727, 333270627, 631790182, 6862850, 497025251, 689920889, 593135498, 17214463, 816838716, 641117647, 466481183, 699399966, 43119609, 224658194, 79634650, 649933783, 221314955, 932750804, 142172630, 757633267, 665810239, 169345062, 4344188, 93987999, 493221661, 319411462, 526252747, 167939817, 364723634, 276980571, 924393566, 321771312, 728174572, 846126718, 151025975, 418357301, 1070590496, 298193678, 543957174, 398318701, 736143068, 934073971, 512469248, 496152098, 832994187, 344942713, 146436089, 122388124, 918967853, 1021484721, 190800625, 623395251, 242248724, 271296992, 171971298, 1001016251, 328910621, 340033605, 63995100, 259255027, 481665895, 722122519, 953987072, 266825481, 139313552, 695714688, 733312588, 316011462, 177375595, 1009628575, 119272846, 390994972, 18363415, 3360659, 752783703, 176003781, 750759319, 312812651, 755966365, 1006259897, 429808688, 758588711, 348645912, 369408153, 333690408, 3226408, 741071217, 63605489, 1048551299, 173274156, 488657836, 996134189, 916693286, 771710189, 479504292, 557527723, 610430519, 111711902, 935380050, 267833177, 464485966, 384158477, 502127139, 469996892, 494034792, 585908592, 932746779, 956821375, 126028498, 574085738, 511312132, 749431682, 714171156, 913048479, 587246075, 226086092, 559958144, 594644398, 81325843, 766669876, 166091461, 1014078502, 780957206, 56317341, 1022848881, 157361468, 416309117, 963020284, 776947446, 673829850, 206158140, 151314333, 73480736, 678521249, 43907668, 646822282, 997800790, 104387235, 56231780, 172549742, 90050782, 984825577, 92543743, 1021863693, 944865472, 166825231, 940603917, 534811214, 156711544, 170096872, 437238910, 724374291, 191920136, 299545431, 641812915, 427389577, 949082157, 404007482, 387736786, 367607301, 1032326493, 1057720149, 908243460, 291104971, 134266014, 94316862, 271524009, 395057385, 14929840, 155729913, 232358566, 382798812, 167602297, 1023313492, 232493256, 288361174, 766855037, 188834468, 998031757, 913121850, 304884992, 525625762, 241490865, 1006093829, 207802406, 321741242, 781305199, 517100700, 426399924, 872684742, 637226222, 126412926, 206786383, 594444091, 903109090, 600380944, 281670410, 353134197, 101885071, 493683033, 166016004, 810782632, 707576451, 949309966, 545023140, 708193432, 498163421, 429238081, 312089475, 50220893, 932820594, 713300304, 71871687, 204880029, 544450765, 437085281, 335985024, 28159139, 456341246, 372004792, 910956618, 726650839, 359326628, 599652092, 1069052856, 586497204, 628026491, 895009268, 886367532, 731307676, 266218739, 755246483, 289189540, 828766599, 1035641436, 408422190, 143397630, 896735088, 13030233, 531836878, 482111274, 265110148, 350740346, 1008285620, 769871726, 31976520, 950697551, 2254597, 10602570, 851612303, 619426639, 932737944, 583953473, 804508636, 349995714, 972388267, 1067620918, 987045472, 686528411, 87394251, 369290866, 121594637, 249091510, 7482044, 57734955, 931542606, 410896107, 153241784, 395812714, 11243698, 106747891, 864168196, 378590547, 520453871, 201894306, 272670481, 862239384, 789846565, 92517176, 695651154, 983646204, 956562159, 995615563, 515617581, 850212741, 2023331, 630936383, 953638225, 4368917, 124874371, 328814510, 1033095016, 994231135, 596249694, 171232356, 298946414, 631473445, 760896755, 541312084, 823607030, 23812514, 961211515, 138148094, 585993505, 578929198, 592053049, 605873696, 203243367, 1032619476, 255795550, 233354183, 289224952, 1028674278, 594531870, 290459451, 784806200, 206465379, 397437719, 374066515, 624993762, 410427758, 925862113, 257037470, 966149387, 971665324, 1053853333, 427927594, 444152734, 108190875, 375239154, 198330916, 1051864928, 178253046, 148512158, 910613801, 628615259, 675184036, 6902395, 728828961, 977887687, 311091880, 345181044, 539339881, 438104710, 237812911, 331879423, 466857782, 500943610, 971519944, 24120366, 174955841, 918023457, 839745591, 844403485, 42652832, 993394829, 121720096, 374126871, 299013231, 308129877, 1025074611, 1057869953, 613094538, 339549164, 586637302, 390681382, 531002597, 858961840, 872984154, 307851966, 372033884, 333375081, 157780589, 721593778, 907132770, 173749054, 444666488, 437076996, 737653350, 301557732, 274706147, 587083419, 265637259, 405118249, 260493290, 668982492, 559697147, 910068148, 957977631, 224105863, 358290301, 122174558, 556864203, 940939999, 635131190, 987248014, 987919080, 39251991, 411142973, 784857854, 71361717, 406379587, 594528935, 948247401, 891407628, 201208637, 255153885, 84658635, 816363758, 410143105, 376038520, 118960713, 964140124, 964268705, 712388181, 961260737, 54040120, 877329799, 55409418, 841660956, 90251276, 958633957, 619184798, 827873035, 690829353, 830889613, 920175116, 624896742, 102078345, 89600908, 720310144, 1046376136, 724994826, 215711617, 697361111, 557294216, 120599326, 984209214, 98291830, 237082963, 488310878, 131030793, 670351147, 565737219, 345456382, 26047656, 99837837, 358083258, 300370761, 48894640, 444614761, 57714551, 736721944, 694815216, 572282031, 385814751, 785368620, 671521711, 31623789, 920049795, 114871195, 751161655, 982227956, 163477439, 999282241, 792634940, 411535176, 150735805, 394993905, 812279198, 59143181, 367559638, 522780531, 575925511, 674263087, 883295454, 92321704, 221584388, 972429860, 53805608, 367717990, 893643549, 864088622, 757629339, 679801108, 253385113, 249370350, 669709966, 170817778, 374676571, 132029549, 963237619, 357018623, 1042721634, 971328225, 438750941, 725395437, 978633351, 982908885, 521826575, 437712010, 214621327, 266544490, 900505542, 479910917, 168821584, 643641387, 191713007, 814943609, 323944011, 800409480, 927807257, 592694260, 984663901, 738778557, 243041348, 707454941, 12310386, 638275353, 290822210, 927462035, 310879986, 121257208, 681431155, 366977148, 399160127, 761134017, 281681127, 62830488, 315608330, 942394554, 368791487, 213979715, 121394525, 633485559, 309026868, 741219977, 555882757, 763574239, 1037036605, 2687620, 432053391, 43263128, 36486907, 651681280, 492858599, 673266594, 150018272, 1004435252, 233954528, 828152353, 906748566, 451730873, 757433446, 31433493, 551949200, 526694480, 198059423, 609510612, 421825168, 628100191, 737976573, 887719042, 84636618, 578869209, 642964922, 673425536, 217716253, 38028573, 591689008, 261109299, 280621877, 882366806, 618847728, 1019436934, 1006832829, 121821109, 863044490, 686590551, 341255406, 133433204, 446283481, 71031684, 1061921731, 19441412, 807166880, 300740084, 453295639, 746035153, 560404873, 762446027, 102112910, 492781055, 702038750, 327590184, 640379803, 371193487, 293249065, 43183755, 773768565, 331153196, 494748687, 711621520, 547437688, 756148606, 688220264, 232706236, 1059572126, 790254134, 834517522, 716968975, 38343984, 806353372, 525812689, 333600663, 230513892, 619241827, 1051084547, 658303904, 409251770, 226687357, 140987861, 801928090, 157878553, 97611965, 331001195, 586904839, 1054509575, 953638241, 178913445, 405765486, 742296997, 56935857, 275291891, 741492182, 1031046771, 565891447, 697540174, 597442318, 744175309, 629253765, 505310481, 706968900, 72419119, 235452593, 435227915, 59735101, 664725350, 37869414, 969581914, 972956510, 873825880, 223815944, 1005313506, 327615146, 489589054, 346273852, 37214213, 950995211, 613500498, 131665972, 588846884, 172745696, 635271942, 605527360, 425235199, 84266072, 1009615675, 919847791, 855545255, 426669777, 856424671, 800016169, 341432127, 7638652, 397082799, 530743887, 751982334, 669621054, 653671381, 736063445, 444443260, 506479372, 190745787, 994626112, 477136800, 800822939, 860685406, 18159013, 203984691, 996314949, 1003993119, 676234048, 34550612, 547246530, 875258340, 3184083, 608021520, 124130057, 371882405, 174819182, 233043295, 341450120, 932367430, 176870881, 881012606, 1093481, 643965480, 1016224717, 942946516, 691840118, 419373231, 624710755, 694170287, 46300825, 584129881, 993705328, 286859580, 648652610, 347181041, 430962078, 850896947, 211285057, 524850415, 664953752, 242355066, 477701821, 983281292, 398885476, 550331903, 198482245, 373794309, 1064071933, 909412101, 495541658, 1065937922, 106705381, 196934200, 154945148, 961802189, 207042945, 362645701, 984437822, 726383123, 620534904, 474467959, 477711184, 758340909, 281791144, 819036365, 289517137, 623456796, 910580752, 946255368, 334519729, 947561364, 838964188, 1059030942, 633264185, 300255340, 834923166, 365899863, 477089398, 642071705, 808088567, 326597511, 241498431, 1010726053, 917041272, 244198377, 792197600, 113659086, 854964366, 1039901092, 194978817, 341938986, 56001644, 318266774, 648921626, 165192124, 444988345, 622248214, 784316805, 295541712, 314019819, 38194466, 447880295, 745272657, 906225569, 538661925, 913856880, 224854589, 771720719, 21417545, 508309541, 957757190, 948095001, 49456739, 532198671, 928588809, 856744722, 41196250, 797755978, 77958515, 44206411, 984130454, 605353019, 103911207, 169054594, 453980591, 971842, 640518975, 401064976, 195861359, 356608242, 181488076, 73288259, 341531020, 1055480459, 1004435311, 530381006, 654541414, 64710331, 765234833, 179169060, 350804196, 1030280000, 689860055, 114647841, 1042082830, 808002211, 1003022328, 876188802, 771663951, 311180801, 782686475, 84858681, 466705578, 929818314, 299927345, 812568567, 190695336, 674460497, 455804188, 708316279, 439790631, 735356608, 804486798, 997769223, 285726680, 772729105, 981001493, 276450998, 772929659, 766257618, 518684370, 1044495779, 72007320, 124837420, 252307642, 928138752, 619507681, 727210100, 1037985020, 748443778, 864932752, 236000394, 931831464, 921255335, 781548392, 907207320, 406080582, 653291305, 255458670, 256724724, 52527270, 46700960, 573758876, 265913876, 589260864, 161468861, 583150971, 339549270, 296861911, 420900939, 156695580, 620409987, 1018685868, 100085269, 350051132, 273230442, 1050026249, 800102261, 791229855, 470707, 855436298, 126965830, 885034700, 637715769, 677415547, 346663115, 566014932, 388226763, 210506963, 155728299, 667488816, 385810894, 949561430, 194852157, 666355722, 152272031, 266478914, 560291644, 81188563, 238924946, 702500516, 137317407, 945269530, 504580710, 373117953, 860600128, 778394536, 563147810, 524882920, 733166012, 476306026, 983029549, 461952243, 638713547, 517999910, 726338495, 658712334, 66010130, 840688667, 949064267, 531023541, 1013898446, 143953316, 878571998, 1057272314, 515547420, 906920834, 811413983, 572828084, 275215479, 654661849, 386307087, 129234907, 61343712, 244774908, 382236155, 337039265, 645749688, 271859297, 875850758, 788138612, 1055466807, 669874171, 106980813, 966076418, 766703643, 564224718, 683366081, 774507987, 551087317, 346627181, 343647547, 663422167, 964594238, 1250237, 794350472, 604744649, 554409845, 73143657, 604345282, 1030439991, 346301421, 220545558, 578891570, 684405329, 52193910, 65676042, 967646671, 31765000, 494476359, 752440814, 911585171, 845181887, 157824030, 575577804, 518980361, 456378869, 582703542, 926717616, 367216210, 793723892, 729375860, 203629981, 863220513, 304416686, 908555373, 291628412, 862759398, 862663324, 385293976, 43343621, 402758191, 138406706, 768711649, 449305138, 1052923548, 665968223, 1045887605, 133463380, 268927915, 600997834, 619168672, 517327436, 307848660, 124186786, 778004454, 226464945, 988159214, 348679545, 959173120, 459966026, 928679232, 331814434, 1061095833, 128012587, 1695059, 435683127, 224906848, 365569069, 905013204, 426109507, 61325516, 920658123, 89965886, 3535932, 898643940, 198318682, 210942140, 940400225, 391140162, 53933191, 259266541, 138587340, 314797095, 25575227, 79993094, 500326056, 101237914, 748051858, 15813760, 550933330, 603520306, 533793088, 360118847, 679471619, 863992049, 542985995, 344433094, 701416889, 508293079, 1039239367, 899864169, 120171591, 709317916, 990338268, 936937697, 595466268, 207193223, 995358372, 291263905, 274672599, 876634732, 635964324, 687672955, 253833836, 571566888, 817185054, 553613600, 675451879, 202823215, 542662002, 424054451, 1003743422, 723258854, 677534440, 980113919, 447947122, 438706665, 504440961, 25515788, 475214510, 976717045, 360286851, 709981338, 833751411, 258901973, 580858334, 202955866, 581881298, 470835294, 838218036, 642781458, 222148905, 815924823, 924472744, 600798466, 70176103, 199048832, 320215179, 277199511, 824167476, 1032277677, 469216411, 378297486, 359842381, 207591833, 923785620, 44983993, 817831060, 840812767, 46032780, 1031527838, 182323792, 154744237, 905162505, 679257885, 475145159, 866117922, 1020777167, 904721750, 116546599, 230525744, 998041855, 498992102, 822835105, 228323585, 288172058, 354271836, 496480729, 337015997, 1623197, 883713374, 648543089, 238552281, 784112568, 808543663, 1003763002, 843864491, 452105335, 29894005, 406981217, 712428900, 629474041, 1058027177, 569434245, 542135291, 158761608, 881098251, 630280216, 1312892, 561268508, 643069921, 503671842, 480806275, 189756535, 146498608, 16200757, 1057688926, 606532462, 916063608, 856142367, 637063193, 280637586, 427314285, 390794629, 629331544, 383437953, 750870362, 792685463, 142098185, 851529686, 5920853, 729508261, 27695277, 773014868, 811132111, 592273734, 938234654, 160795199, 344886892, 354013074, 556797542, 369739842, 72512069, 235745842, 580633495, 785028927, 858746971, 853361394, 314803610, 153257635, 569874704, 871384799, 536154022, 679838460, 672269440, 52191928, 975491829, 289657777, 827509260, 843295838, 594782643, 578730794, 647861054, 451677724, 185072558, 1021690111, 498534470, 237705138, 511259393, 635489429, 1848547, 765800542, 124724572, 738187950, 398450717, 535908843, 1052803800, 66789651, 112838473, 143710151, 437835484, 1020309616, 105512771, 683079561, 113788654, 769045944, 270514783, 228970176, 767715940, 1053785361, 522742034, 130544105, 598024593, 1000011712, 475612460, 248270979, 834773875, 988066428, 6213895, 244524395, 735243533, 747680537, 228048314, 185237823, 217396516, 744349773, 543180395, 69628282, 827927776, 877135593, 872339088, 411408539, 1015954254, 256426071, 231254426, 799556422, 647927811, 670106285, 556517951, 943729544, 1005446717, 1014952688, 500152595, 889762392, 814550951, 969784003, 133440716, 219100349, 458487880, 172681897, 417883666, 592704127, 367892605, 930808981, 636866591, 756815496, 259252371, 253450899, 528845874, 641065652, 368573144, 924111889, 345373005, 538576660, 748801821, 621876359, 614114089, 424330797, 578074907, 85266306, 278304212, 547013497, 846300888, 658864428, 458657835, 233961725, 86917413, 562306860, 498553390, 713395516, 57806103, 642091890, 933263124, 356463207, 727068840, 40753560, 306803414, 896012744, 785550846, 264533296, 764989180, 764913937, 556313617, 557924693, 856186087, 929024179, 228317337, 571730186, 471696576, 535507688, 979654473, 1021410463, 1031424619, 975105526, 884052021, 526743359, 638492688, 177056818, 438944499, 648074306, 119318835, 1025107969, 695079757, 478624888, 292211809, 296613044, 27208714, 997241300, 778365674, 80890718, 731122661, 813386536, 964145322, 259747684, 366970479, 641905196, 519873876, 828343920, 760518929, 505493026, 410926474, 945268798, 667564129, 437734429, 621194712, 217457255, 349697041, 217631193, 902330110, 952071553, 997836397, 730841152, 202726889, 460536512, 352578288, 908363480, 792634274, 1043954085, 548098777, 924469406, 992540125, 21256549, 1070652553, 417620622, 728816386, 577077378, 121631056, 2766847, 618530375, 721239512, 1004378924, 1060240534, 415942244, 434636705, 808469463, 996166350, 104281170, 935588247, 1065478752, 372970467, 332439214, 802057351, 227313863, 423101308, 869895708, 51162216, 118691324, 892258546, 863692236, 693236661, 646586438, 618114724, 776454098, 1014726144, 608419996, 917130104, 684061617, 356512253, 50812308, 708077035, 776029365, 657320344, 485446152, 489762401, 506530308, 810625525, 370535271, 331563020, 554711941, 107031591, 320222951, 106166161, 242257906, 897954206, 1007685071, 96897700, 784701632, 855407675, 706095437, 611991064, 775480393, 273708898, 816869534, 406783624, 94630140, 168223247, 611028581, 812201888, 199463402, 701717047, 899632181, 308382963, 725030565, 629071588, 805211881, 133371611, 900816952, 620464377, 952698524, 456765940, 847732944, 308788779, 68459587, 796702867, 1057754656, 910399475, 383398739, 421075106, 205937707, 650283082, 1055815133, 1058311956, 36547561, 586650990, 865378879, 970421463, 712291152, 709950201, 27915558, 738795096, 134493504, 427075459, 697143211, 318300281, 34734470, 259450299, 121538224, 833115955, 544432689, 29092629, 953550874, 486534369, 136321526, 786399716, 740323425, 670577922, 166960883, 331735584, 454904522, 134735462, 402607909, 580569929, 47302598, 523968884, 296783833, 393797650, 773004570, 731958960, 858732727, 304272879, 882689246, 599635036, 67027585, 374189605, 199068807, 1067885821, 204146204, 456486140, 791695480, 764415243, 797277773, 163116598, 181508373, 866753503, 202784764, 453997279, 61094116, 549356392, 40532978, 718256899, 526372284, 584581540, 66334392, 1015243680, 242317863, 561031499, 106213318, 774142105, 120991550, 890872732, 324478993, 1060813548, 323068279, 23547757, 377714469, 761507996, 912210518, 199849903, 721335210, 645714478, 825385869, 334239087, 824647763, 979251953, 309367471, 458907125, 508609058, 664233137, 294356390, 592100755, 111804883, 641048628, 511074624, 541530346, 813016087, 710096286, 70269305, 525134218, 962370485, 500193146, 828503819, 270416564, 43336330, 839980109, 417372936, 858641243, 513796138, 4882051, 1012940291, 378631181, 389265794, 1020811574, 479735466, 391683358, 883774774, 1072993063, 722182720, 99327475, 917641329, 970267510, 806520814, 551213675, 659653292, 168449502, 671955866, 38961377, 985413086, 830185318, 1045174027, 234563896, 365407186, 823863384, 655722145, 309172132, 457200697, 851168357, 3534577, 432365147, 384364425, 973088854, 261854664, 48520787, 821092344, 308388847, 863022596, 169108461, 465032197, 600573208, 453038234, 244038298, 400824186, 963138394, 581277904, 527550650, 926728292, 323521659, 918853403, 508835464, 690171428, 745339478, 173486163, 395055978, 495960523, 844637161, 165426011, 907550056, 1051946687, 1030533588, 144340004, 65611766, 164303085, 589615473, 1005442703, 1045082637, 936101307, 217406500, 432933304, 458996882, 516847624, 774576031, 917141235, 500385099, 147783287, 820294834, 15269817, 145834032, 435073395, 193411602, 877548105, 288834434, 842011598, 377455601, 800335084, 25957426, 1014615684, 395662991, 643265473, 56290099, 958456359, 212580459, 1040524858, 112531005, 520483183, 76902544, 947818077, 352986476, 186928175, 307075650, 781875806, 269429887, 541994912, 668941864, 287188471, 515634089, 676191142, 536326142, 222599759, 391066993, 134920414, 1037809457, 814291171, 26602944, 244298522, 318091233, 617967129, 479017893, 508209441, 841992187, 501911317, 130054801, 1022501855, 947837762, 547492443, 153452398, 190677554, 356173441, 486209991, 1036881397, 846108821, 825019447, 435961095, 1185547, 45613306, 1044297557, 669044905, 374502952, 274386595, 250361624, 836684420, 1066888754, 299505229, 536275399, 13982657, 646683919, 922172407, 1005690981, 553486498, 413547545, 66669658, 573180699, 412047127, 400567418, 465716894, 751511924, 762568747, 710761027, 720050943, 443453977, 612256680, 1004856972, 394988005, 412194166, 885124645, 43657855, 85438963, 44743160, 714485085, 413387518, 786642902, 425859251, 329766524, 666582913, 559146027, 123898108, 442598998, 168738130, 1014506863, 178613450, 232260347, 880274859, 814028333, 344380519, 988653677, 798438837, 609858322, 907128194, 382682335, 480916316, 7745731, 103388253, 249321650, 880671200, 854270874, 236096013, 760727197, 612080244, 933082625, 320575062, 583838545, 242970797, 897407093, 543521420, 64582165, 268977940, 1013388975, 119679256, 910784224, 260869854, 806885006, 265633782, 1030036940, 470593418, 9198044, 578799896, 6654118, 92153908, 552394073, 108751982, 881401034, 300041904, 389537121, 356005882, 794230817, 759753299, 3943731, 827936715, 703165656, 1006226287, 951259200, 612544142, 768334955, 806380238, 305278219, 656335136, 1057776488, 1016216648, 143063522, 89700496, 335919614, 55312355, 921794522, 592423450, 38613586, 658234776, 566210262, 554127224, 933872173, 196320444, 328571178, 24451966, 459533605, 122329453, 424837565, 252010046, 837770931, 934624116, 524405306, 526808115, 520638245, 71229721, 901865960, 85307746, 514117811, 746293018, 406302646, 912697742, 925145690, 1008164332, 972282450, 498898894, 173159104, 853266844, 724320687, 342509568, 377361853, 197478853, 79428899, 390474972, 129335325, 262034995, 951528898, 50386285, 779671590, 536586021, 438067001, 530451397, 342166784, 171748149, 145631065, 162722667, 264362759, 977458352, 586860027, 710677406, 767534295, 106495030, 918443376, 1023738742, 429506657, 1059004511, 916608031, 701987003, 76685524, 40919098, 86533004, 648651315, 169029708, 226029687, 452317547, 24860111, 150345632, 667686630, 238169549, 1049531926, 58464562, 535966202, 697423490, 942381879, 896019391, 229315685, 590700586, 294883434, 546033671, 906501534, 648921458, 1069038561, 1020869418, 326023964, 427604581, 922191422, 42170929, 407431079, 971581639, 640848687, 510414702, 803000256, 241854504, 676022997, 92187218, 140123007, 91667360, 709150956, 799652836, 439987319, 177406689, 318232411, 855238839, 451303824, 437500956, 171616507, 193119159, 475851248, 1047626841, 211940421, 440497308, 184187394, 682907647, 100549049, 252347003, 157786805, 1023979883, 101634906, 512336827, 234150090, 87453912, 72164013, 94165122, 499104379, 75411537, 898615095, 954046124, 258157406, 396854888, 862779178, 651370835, 785665691, 973351929, 61313778, 398476631, 240190427, 925554159, 930252038, 10603149, 988368046, 695846330, 59194954, 689957240, 121227246, 983277944, 793982749, 214866921, 264850070, 993655310, 61884674, 903624666, 537142136, 97190611, 567632034, 226565957, 467598658, 505404797, 740995864, 436321515, 584286719, 564476356, 633999399, 835432772, 48987678, 951646664, 1065739465, 808660061, 1072074770, 522411800, 913190073, 370171236, 836631906, 1050520146, 157643171, 87405370, 787280858, 1053532582, 729137653, 80113519, 616155953, 229263042, 1027700294, 932259047, 211815983, 698684699, 790128128, 399733761, 653695614, 724177612, 690140574, 833081499, 548573799, 509924443, 747193011, 1012329246, 368381317, 88288168, 23523004, 49674165, 92023819, 622331045, 726641859, 154700323, 981096467, 553739231, 126789370, 396967415, 373073678, 351894989, 793741647, 313730762, 885559002, 629273524, 80021220, 275245952, 819953782, 875474318, 1003360107, 477734350, 649952929, 714713445, 487321404, 240803362, 212718758, 460859690, 538374989, 451942067, 103585189, 59000089, 615312277, 113796451, 316870738, 636478265, 766019258, 309464210, 69733990, 28167582, 692063509, 898742406, 906665743, 1004471782, 341935791, 245059414, 255226192, 219967155, 230283506, 995998424, 909502280, 569527516, 869334299, 1054924442, 320407655, 266814690, 385936631, 65706490, 541374255, 663237091, 15629845, 83701193, 908727146, 321033945, 551765867, 517608070, 395041751, 527541156, 353282402, 955967545, 853491405, 644957791, 545857861, 721140217, 928841723, 601171960, 113481842, 978339542, 1012681919, 82215079, 821196783, 585098926, 196787096, 996934894, 350461377, 996519682, 16948500, 990298327, 503497723, 155302652, 803404585, 362173723, 732263435, 494828694, 70744506, 138115964, 224846444, 64190503, 176904318, 348600641, 807300249, 1043145116, 41706591, 846062281, 918055381, 595872089, 992944502, 145344933, 294841524, 193196089, 735358667, 229813352, 395018788, 477813892, 933945515, 704060747, 136784480, 831078278, 224706786, 79763696, 1056685190, 814510723, 391490117, 358340553, 493682983, 16668701, 244396210, 794702930, 666576435, 1049487905, 625078042, 626216758, 794336437, 17474860, 478682815, 1059265684, 65477984, 336823908, 886612576, 364602203, 343625090, 1027343738, 18196564, 739324047, 436338932, 868197407, 887891744, 323205065, 162953246, 38270656, 258596354, 426527239, 712844713, 616009177, 1055098837, 1020653862, 90007776, 1021114372, 484509071, 788771603, 945197131, 1072105371, 351392460, 835312427, 829490308, 763783514, 425286180, 363021181, 440978853, 1017924462, 328226152, 812061108, 526475102, 689278320, 125031249, 493643557, 71059917, 959159793, 552131615, 747527824, 455163724, 254356957, 317429647, 523970071, 804519179, 503514927, 744086579, 355920822, 16675049, 358903361, 18929718, 1071883063, 687154470, 775749098, 614928763, 574774276, 722676027, 970652260, 681874057, 870809146, 1036712675, 938232118, 822515720, 114351662, 994127715, 19176914, 786859121, 907343990, 987322884, 115079156, 514672110, 911523607, 198159812, 322730225, 144861152, 447343633, 453254222, 306642088, 334696548, 500912783, 168844610, 196815456, 565887887, 210131166, 13477044, 85584964, 579460152, 104254678, 131500718, 877752350, 663907244, 1024969428, 251759032, 753753507, 391334856, 300953519, 1030543604, 564149873, 167438952, 726607518, 518075022, 286362474, 112744170, 914434358, 1063431213, 209061991, 200598763, 862982090, 104761588, 1053141349, 217765218, 208258049, 901398756, 870873656, 930993420, 791397137, 953594701, 564976516, 825125376, 1032969402, 230806495, 176423589, 271030250, 291207768, 359081261, 584233882, 295243253, 61004712, 947541446, 28127435, 724709228, 705246764, 161271836, 497629039, 242008173, 681039049, 876822952, 50370999, 77063032, 673354287, 325456704, 873083481, 963881540, 778304331, 212025814, 461385462, 99018143, 139127533, 743421042, 919285981, 327570497, 1040053080, 136038137, 247270138, 378649997, 368810513, 945890420, 854400847, 599499426, 480602814, 631000973, 246417750, 664432719, 30174360, 322026631, 745647888, 568408044, 207663174, 21781376, 775269087, 917180840, 550163817, 68184085, 666197687, 405503728, 1004228356, 907744519, 1054962996, 617086, 992355601, 338669097, 75027506, 53880619, 80806270, 403002924, 787652353, 656229684, 894839983, 367249948, 603186707, 592114791, 165594136, 418920421, 232845817, 271642663, 260769881, 105685123, 324611523, 381395695, 455323621, 463691535, 808501821, 17664166, 428825810, 835745226, 351556142, 20813869, 265331263, 738140253, 219174397, 459527015, 100111286, 332828497, 184908146, 1066517752, 81497190, 476460750, 422892456, 107018366, 691512758, 195250270, 20963298, 353871181, 495269163, 801495157, 362101470, 378365092, 713729713, 292055750, 481616887, 959440025, 744794231, 541366465, 969243527, 436012309, 611070764, 78327292, 429359863, 480980703, 798767465, 832189748, 919271622, 520326062, 741075786, 886573413, 825588080, 8492735, 936578109, 588156701, 737609836, 912755660, 356287225, 554203120, 207980080, 619513456, 940279572, 426884737, 731629811, 874229806, 862566447, 298394319, 437505164, 601002623, 925146477, 417409979, 13502860, 840458505, 38031890, 989210837, 683128127, 768326912, 482524710, 423967325, 1017538754, 241405105, 532786976, 638410655, 738381884, 814531366, 453922367, 590366638, 36215169, 70019631, 844454114, 571454941, 694911014, 692530596, 86540564, 1057114842, 469563393, 541900217, 35937042, 660339427, 512826935, 646767409, 134806454, 695057973, 930535162, 295040330, 448370165, 181438318, 1006584438, 304121588, 1015042799, 762364244, 589418036, 686182250, 962828304, 65028067, 2163171, 820519202, 561793169, 205971766, 536971056, 146815602, 465380459, 377646943, 786987471, 930984780, 239391395, 761336878, 1054067169, 824695063, 389310637, 204333661, 473448394, 1069787102, 465794863, 79628854, 820367781, 11894158, 621241981, 315124703, 648723586, 546546054, 1014488149, 851120689, 234494212, 315992576, 89602253, 246310011, 912756159, 384245248, 1058899867, 2560737, 179973874, 765600374, 336725427, 773801817, 501985665, 439491612, 289661233, 867364521, 988002030, 13896231, 327207794, 906150865, 122899896, 811285232, 1014593899, 526500475, 447111364, 778883991, 443799378, 423619549, 141167720, 503267432, 191702550, 816013116, 260773327, 435705988, 94934050, 808089640, 964618891, 981917840, 444406907, 928745316, 585614002, 1004218009, 405094430, 21594073, 480725809, 749911883, 346085412, 902724737, 454845891, 4636573, 107916939, 1016195739, 108448489, 530058617, 890880539, 64459416, 449155397, 418578207, 1016444261, 245193301, 340850731, 783082842, 633277977, 92335370, 407097237, 866178040, 138500783, 1040188524, 655336390, 994987329, 415999311, 852493604, 802654085, 917599465, 483827333, 436136034, 83378421, 308556244, 348801049, 384466092, 1056796564, 978212714, 227871377, 499141003, 766218329, 669092754, 297194348, 51109037, 453639298, 676518374, 1027909912, 30763386, 211656199, 297623974, 215682502, 141683489, 629564108, 223368196, 125287035, 432304817, 168936051, 364185244, 259232992, 767097767, 734376032, 143326260, 289043258, 604544375, 459110907, 144285174, 169318415, 956366695, 649359406, 478394874, 546136325, 483624396, 54851206, 400949919, 555399888, 281286866, 161302831, 298810448, 662055940, 152220364, 991446631, 288244492, 519862156, 358885658, 88892317, 279717649, 6727137, 343641281, 405320581, 142304475, 660511789, 28777268, 754300184, 194274337, 845556736, 435001775, 221726297, 238826645, 817025749, 729266866, 1069115975, 840465929, 737863591, 313897964, 626033484, 553767364, 869398378, 23908386, 522538674, 7854355, 939854520, 760539470, 926479139, 818229918, 240496394, 355661740, 1017267312, 146019216, 203046411, 245605400, 971065932, 50764002, 755883693, 50527337, 939748662, 72792679, 552146921, 1048025972, 1015835119, 203518509, 1020412063, 192575376, 122957217, 833125264, 966671261, 1038995411, 463966655, 391380541, 157476522, 42442577, 639684378, 60860914, 580375162, 264188982, 214000201, 790642735, 479415440, 740850547, 267343162, 120481926, 998866031, 869531836, 189343595, 699314029, 87102349, 625009528, 853062019, 465178232, 179699086, 1020441561, 210998918, 952970904, 313023143, 416408790, 214216517, 638580754, 719473670, 44155033, 244453017, 376619831, 22744984, 919581614, 45018819, 316325801, 812932535, 436333495, 349901589, 997647972, 454774522, 990493148, 670849716, 212502940, 267009430, 553138742, 988227582, 964238709, 770243732, 600518275, 973463934, 43215993, 87095959, 505934029, 678048162, 947278276, 5185643, 655407050, 526539809, 980311598, 760946543, 6428804, 920289951, 512531815, 896267429, 437140055, 456491740, 19419244, 366409045, 811804251, 280759417, 838766523, 693273070, 1046105019, 308675795, 268735868, 764638848, 914699273, 237626385, 620636468, 231068930, 880359080, 133868479, 431382914, 943302611, 173083617, 922954676, 625015042, 831769860, 155323129, 79484224, 928561898, 1003608103, 169436022, 246128135, 167729915, 282602876, 775281875, 190152219, 314031300, 892972382, 425398138, 816184555, 9304145, 553711206, 284873308, 759881195, 220239828, 59821102, 375540502, 1029392451, 876800450, 854156673, 256623069, 218103716, 1049536859, 483180411, 397738776, 427856045, 590477760, 720775295, 187963014, 270503901, 166853197, 355315035, 604647088, 842915778, 218404246, 244972063, 987987721, 29378790, 952569808, 685162813, 1009281653, 929898359, 465970185, 1008693362, 566033032, 349394755, 222253709, 654695336, 11474760, 951336046, 1006416140, 750161289, 345410111, 844696437, 166693773, 464349633, 1067976311, 276618535, 897787416, 36888230, 161158665, 1009312666, 297613094, 249967416, 675795436, 38764549, 418600228, 309231421, 82581453, 924295025, 525146043, 909734225, 60371436, 513803747, 525930512, 531336913, 52089677, 753342086, 193195901, 296422653, 457083881, 494689526, 237106831, 1005988789, 313681554, 814791455, 979942848, 1066203817, 716281947, 348205052, 435679973, 691355252, 199419721, 908190071, 75029395, 539423959, 1050114942, 516787216, 679592573, 986126527, 3429487, 625327849, 235702001, 666357654, 964081506, 888236629, 42955590, 825276336, 526454438, 84621340, 138755319, 473537061, 346910042, 677819541, 713960367, 396358583, 466513276, 802865798, 985962697, 1042699323, 173195336, 928589312, 36544274, 747299378, 858283187, 819447781, 588576478, 170914355, 332424395, 1058123910, 331175894, 229041198, 330137613, 73659101, 1000300543, 1030593801, 274862126, 124471195, 278110204, 488081798, 321753984, 235625029, 336201358, 1007373312, 88847481, 342591572, 954023664, 357631497, 705736556, 302498091, 140287226, 989877049, 199389838, 682403365, 486984759, 1006153657, 1062387905, 42462309, 238933987, 1019836115, 399093458, 651822524, 904179719, 975983506, 165047427, 40201364, 512686666, 684363285, 541754493, 375545752, 609147298, 384835909, 335772911, 67610744, 1071722347, 538536512, 321404356, 62558222, 680336315, 549219958, 594543891, 633999318, 597715274, 885114608, 718719558, 708410525, 779193134, 742490066, 859276995, 920277365, 193817138, 1008165482, 78737293, 633240970, 181428027, 855875131, 856893381, 1003182801, 429855778, 392507685, 347335968, 1060259331, 770517516, 531322910, 480866034, 270927, 1050214988, 768879356, 78599235, 376391298, 774511138, 899537003, 261464430, 474166421, 1031902142, 321127413, 426527348, 888880794, 668954656, 187832741, 503471683, 143757647, 972291945, 316786262, 543406812, 440073204, 590492199, 635320136, 6753567, 750054022, 400283080, 330095797, 182621546, 677238546, 354831396, 209617853, 957097865, 119793885, 746921074, 537129429, 977811409, 596205940, 711240974, 187756326, 148789064, 338410100, 407823952, 766170808, 455760491, 536500485, 914534653, 745430316, 548771193, 201772541, 794655541, 345041392, 919938154, 568233034, 913361997, 660109320, 1031691165, 235330931, 801715868, 364755055, 677262918, 349854531, 588653438, 477882161, 875487368, 304374561, 357694181, 242569647, 1042207067, 855159567, 714309671, 689239000, 756313923, 927102005, 726992225, 9825904, 658608517, 727280312, 657453549, 1054184797, 330443552, 182142401, 571550223, 293387256, 235608648, 223249375, 609106927, 641938334, 214083630, 479480066, 857760333, 532263334, 48841842, 425702902, 893457715, 34088919, 1049826823, 556973607, 506490230, 935101967, 353431882, 118127529, 189422534, 620054349, 968130621, 442404786, 452317487, 1070909974, 1035882258, 997579343, 624595068, 340616112, 346863672, 137188919, 979776047, 699757885, 384144381, 897453100, 136135406, 354104413, 815420679, 121736438, 909566074, 378375415, 118747726, 893464274, 672407557, 1046845216, 440336272, 587814202, 308498707, 1000569019, 449872110, 643880276, 800219257, 504836134, 857695913, 975548294, 52399709, 784945857, 143625290, 879512557, 447041408, 273355704, 44893518, 413429996, 804297082, 1064774516, 306477753, 458910300, 728056424, 669793607, 366142463, 635374667, 392845936, 953090083, 41577344, 639472793, 119382024, 169807014, 452981129, 930903731, 617916153, 221382030, 79348398, 1054700085, 1046591084, 399004803, 788188414, 642124549, 764499730, 877262163, 322124645, 873185129, 876486735, 355875834, 120031799, 65333504, 389467473, 801478418, 552814516, 691451131, 964741812, 248966699, 165623989, 660194660, 896521043, 106204999, 454531721, 429686207, 175356859, 733729495, 887720675, 804250463, 341162150, 877309385, 587323595, 548621773, 779753844, 445245927, 535028154, 170849831, 928725964, 380424293, 984335592, 400182850, 570971264, 796387281, 791279170, 52728819, 1056922031, 1047725250, 23352421, 775154837, 917581319, 295653653, 299399322, 867950493, 876093341, 117258354, 584512309, 790928625, 841506953, 787347095, 813575329, 171579866, 328562854, 82668210, 554460081, 986414604, 790451735, 68098295, 949267184, 470353343, 185237978, 108321577, 8954026, 253971866, 640611245, 294102471, 626103649, 204423280, 467962220, 272916437, 22386071, 178920537, 155453925, 255656130, 173808623, 774306418, 688234440, 60623232, 279287420, 149366515, 157313313, 171602792, 361952839, 103491115, 699426694, 46918711, 957802415, 820317674, 316728788, 499425460, 90783585, 537598014, 692184975, 314745850, 737312447, 711203825, 537937444, 471476396, 160612109, 58764336, 533966895, 542811233, 395466122, 649486904, 974784644, 450550240, 267886635, 168734346, 452586919, 918132510, 603615530, 699653419, 231575908, 97326920, 169245171, 636774813, 775417074, 125117077, 613084894, 329231124, 933687572, 652553306, 729536244, 607840690, 590356812, 256822682, 647872218, 297885617, 75987117, 506616293, 10895831, 771159895, 337501314, 393428492, 1026186980, 390789300, 394953419, 622233309, 1044301907, 798927826, 410237094, 861406406, 464489663, 247092268, 225367361, 1010219250, 780592224, 291381727, 951386754, 458827393, 236374656, 795677649, 66208330, 164183056, 247584002, 527733105, 359548083, 744730159, 846785808, 611448614, 1048099329, 440703829, 146758754, 158343511, 417493779, 785335721, 318330078, 558807709, 132838117, 826603450, 1026002037, 607993125, 477399080, 840881720, 582390829, 109922746, 170175314, 450919069, 493559492, 541062265, 612865302, 1009674492, 454611310, 543143829, 473130496, 619809420, 928305439, 170098990, 482744459, 822729880, 15960180, 398738891, 351795635, 323864756, 328791078, 436907529, 879700310, 725338189, 274564874, 86486369, 339437654, 544728967, 52139638, 485139777, 758340319, 500392887, 671197161, 777176400, 153923709, 587892131, 208695161, 293612107, 109299389, 246844607, 773989559, 137883429, 459636865, 536657478, 986755159, 501430015, 842740190, 667225761, 1012589025, 946986307, 263610496, 994490046, 34762982, 114935201, 741993607, 20967372, 378222049, 80428546, 1047623018, 432879976, 26216573, 42327638, 190000159, 84431130, 754343757, 898942669, 824348496, 890048648, 766112912, 226469245, 358226038, 831317098, 492173561, 1009287336, 23884276, 732291518, 488272218, 667167403, 732920241, 640099816, 476573555, 518447679, 243592884, 22790859, 885020137, 973141294, 524413117, 929582290, 716115900, 313603013, 527515228, 605048233, 973699362, 930449625, 485683935, 475694984, 152172492, 411518240, 388572191, 649091560, 904327718, 203531893, 156690543, 447792897, 312599556, 562888603, 915818144, 730130120, 935031802, 512164457, 15880053, 763164958, 488345546, 975218037, 30553691, 713105935, 134600621, 933509832, 311625085, 196295867, 872538095, 698247528, 359062665, 230745067, 328098476, 1058103450, 298238057, 527993664, 791885028, 706694465, 968213509, 516517793, 529157063, 377492504, 791435593, 900831849, 10666076, 852431958, 586974771, 834999857, 653386674, 339917610, 1073158018, 717146731, 576236913, 349087154, 131439769, 995578482, 753230139, 848423246, 382784841, 266623739, 695755854, 844779866, 861425761, 4916812, 900024205, 173983617, 53349846, 453234023, 240859616, 374475319, 396674937, 72134420, 198622292, 710978700, 38346253, 131344100, 96999202, 868197037, 935649654, 823402188, 548727199, 408407101, 348234625, 1039195281, 523838191, 266553839, 368582655, 964941663, 198628991, 890617509, 40791063, 762467279, 911379939, 170619009, 256377753, 583494759, 895736239, 428230133, 95196841, 808528648, 702860114, 180108956, 151370237, 226508407, 438325119, 157435125, 324668808, 290655585, 538259096, 232054604, 728855908, 450111664, 91641271, 349021088, 545900209, 780786635, 486827960, 932403840, 783108898, 349215913, 1015206182, 1013180045, 897343079, 1071110936, 545985700, 1018958964, 144932747, 965158477, 118979656, 414908694, 935831323, 578232888, 142571639, 344541930, 240217730, 279636728, 727404166, 615106510, 270879442, 979794022, 254924480, 16896888, 691644441, 785957214, 659975645, 908081456, 1031614149, 588991356, 1067622197, 382265592, 253839985, 1042634839, 977104853, 996348199, 344976369, 274912275, 928842492, 770063607, 1014014936, 156589356, 240224508, 485872708, 315311485, 620877523, 661659533, 853753091, 767724542, 512127539, 150987602, 786915641, 594361554, 813568026, 1014723131, 246236955, 1029367792, 922614221, 861364054, 1040737865, 87615003, 953856609, 618284977, 422125248, 968824625, 217898939, 307696447, 588045525, 281054745, 220081013, 776884439, 137690713, 988325261, 274996609, 440075642, 1064278415, 365477468, 365129206, 990724973, 314973982, 746391271, 353889333, 541160391, 312946123, 747750952, 950979704, 3940393, 403376629, 51418060, 325393612, 637164900, 106679088, 548909998, 153297919, 556991826, 509361960, 347210788, 944370557, 469366579, 132998503, 564591050, 935099802, 1023236186, 367560681, 551443296, 996071309, 33626942, 913142334, 576338163, 918172718, 518702139, 640043587, 138511113, 627089290, 611565104, 316088785, 1057377670, 569635721, 292157587, 52523163, 343854854, 790354133, 536432784, 608257432, 170282508, 849971600, 914876920, 759247209, 956716446, 714798928, 671931358, 240818488, 655038666, 877760569, 52362287, 373268473, 328650694, 560614496, 727508484, 32894323, 160340928, 47360011, 154344048, 628579067, 1068637641, 1026366926, 308043011, 813593008, 122141014, 510213987, 406000442, 11856078, 636087430, 48700786, 94521890, 121999834, 1037243432, 413406241, 824778359, 943463460, 629783008, 108909468, 799082940, 529815557, 689021508, 456283738, 267975962, 778334145, 733695040, 330995502, 865964030, 151016547, 258578766, 357969312, 332436897, 285464399, 914443626, 799301446, 575635696, 656851890, 157622615, 838480659, 226211234, 787285586, 378757455, 1070920920, 465998316, 241745887, 492796510, 758127746, 317748236, 714887879, 275784427, 1049018587, 1040502372, 619278456, 234019179, 763555689, 653903605, 395575488, 358203909, 461354590, 993301836, 138645555, 925950436, 339672056, 202808918, 562704427, 744999822, 66281557, 631792959, 1708548, 510110396, 538168567, 264724564, 806454851, 917490296, 41740956, 46592398, 145992452, 335141339, 1016405615, 158120694, 465571552, 257491105, 914333966, 925297969, 766228007, 119424966, 352089662, 712128532, 530279554, 106390174, 684985826, 484151781, 966595907, 1027948603, 727519772, 423792116, 438607128, 166411125, 1011888518, 982196067, 57216546, 47305327, 255212100, 718430194, 713523813, 661058649, 839593213, 291460265, 381396781, 1018332974, 374275219, 104200417, 652720287, 781353897, 697542191, 937796620, 1033681142, 312534875, 982110485, 33664562, 1043503858, 158818425, 114502051, 958815516, 368044841, 229474126, 306843136, 621542346, 507215137, 953919741, 450715172, 15818733, 476806292, 687093697, 860751816, 47392860, 967177045, 709177164, 931702738, 525842313, 588529301, 765334499, 47480733, 660685120, 769520507, 824813200, 981603770, 717696852, 918328260, 320980443, 777753864, 107254505, 595673097, 986288373, 716966671, 109965311, 735018882, 200440666, 136513781, 725846393, 938174382, 118901464, 316715647, 953460590, 106006518, 583562416, 239725281, 360716421, 770325760, 951003646, 297150374, 408511398, 123700575, 736904568, 916171016, 1048310019, 526777696, 844323713, 573549166, 513395882, 100308162, 81524747, 56039792, 1010326990, 840309622, 744186173, 285286691, 712810085, 816341685, 924808663, 24740861, 787915820, 96882312, 665941026, 944101716, 745001957, 786739171, 842706139, 583756672, 473923455, 789066470, 43744934, 310039109, 271493639, 363421038, 510167552, 853431228, 926986079, 886930639, 941510192, 168565308, 229410787, 330796115, 173746180, 180423786, 554263365, 129485896, 150062249, 871638974, 683642213, 916208592, 260600388, 1049333751, 526706887, 149956037, 710080069, 496214691, 764961205, 468742953, 691426094, 1008982635, 265430953, 842081747, 4642931, 796167522, 93468008, 386132250, 748972302, 59844627, 1023886191, 849897301, 582728184, 369384752, 947703424, 557477805, 187851, 910384623, 1055560354, 403784018, 1073648930, 648324730, 958981831, 312028194, 490720630, 837286252, 389305756, 809590545, 944723497, 1067123925, 131356998, 197555472, 1011066544, 543311992, 161992592, 1050600604, 341218431, 415669588, 400681217, 341731277, 42000963, 41646041, 257654493, 92164392, 618907656, 906691219, 166037750, 11975739, 356446317, 694586459, 631406450, 58427755, 944198511, 33944871, 383926559, 954459216, 291227570, 340413587, 526365254, 94057505, 586538768, 518482741, 44485524, 202770809, 344206789, 72635172, 1014345120, 452329623, 890647748, 135253689, 186152684, 85843848, 324470367, 496962119, 803301350, 329363200, 835617423, 84066643, 1012859572, 525292748, 626318757, 763134082, 654617885, 1043643453, 160438726, 163006854, 207742322, 99475621, 942905949, 91758674, 650508806, 429395755, 310594482, 687728894, 776137205, 194833410, 80804174, 183534856, 438778781, 494813721, 513222140, 92484109, 1056019091, 204143149, 594919285, 504555755, 1050138066, 708076757, 975163615, 867045069, 258768499, 383512469, 136636270, 367043486, 876181428, 505821582, 994224084, 796646973, 898945811, 606427248, 335292439, 350719486, 177151812, 640132714, 510979201, 640837453, 1049991096, 373787840, 944425984, 537025345, 421456661, 408017289, 869795166, 853138812, 893262734, 538688666, 1054661601, 779640145, 787525075, 58874929, 789456207, 590591157, 1004074196, 968455733, 967259295, 378007647, 19921748, 470594450, 722755766, 284236616, 114442911, 563370257, 884269939, 735605470, 187568737, 118284410, 1012259474, 141609952, 14419394, 52242287, 52560287, 1000180771, 497782444, 582668146, 240271641, 47968525, 82571424, 984993575, 147688241, 211680764, 392437843, 156294739, 131121094, 464946449, 503984871, 662602037, 378678073, 656988130, 913118093, 376367234, 563532834, 691514677, 539047666, 51562513, 507470120, 480682100, 614033094, 286695671, 102512859, 229425074, 796802912, 850720149, 994517758, 160548745, 404041046, 606820170, 432377441, 147422512, 703202069, 1042557347, 228132116, 627999400, 868154008, 199981010, 81782200, 164152958, 933175114, 441109738, 1018816976, 340735501, 665772132, 235276181, 432504972, 756950921, 337492137, 561130358, 235226791, 284139187, 1003814282, 343549596, 1028961, 850340530, 438129934, 550581085, 467599052, 553361904, 25502312, 447393107, 218262086, 142455895, 1063078886, 680406488, 120427064, 696058075, 455132436, 581567880, 186743780, 248340940, 263284616, 472878447, 914569391, 45103944, 473717479, 681332510, 516616264, 1020040024, 506923703, 438104784, 392573901, 845856627, 1024704661, 346023130, 1069093756, 180508484, 889246823, 596675882, 891550404, 885940396, 422831085, 277907708, 899067806, 137958589, 289520166, 581103333, 858007494, 789698539, 241837500, 4292917, 16540845, 704800527, 750228337, 732798544, 1041241037, 998180892, 946293568, 662500930, 951796433, 100190711, 940852281, 137358040, 163565366, 746044441, 433535734, 950277909, 883389052, 209703865, 1011130871, 600357736, 920167379, 746294884, 286630017, 859815572, 168674396, 886694574, 215823029, 418049854, 339371388, 863540126, 663274607, 700054376, 267839182, 81691424, 496253009, 652907531, 495751444, 73014799, 331134975, 760383293, 820404740, 111488994, 877879562, 325878503, 277778885, 570465359, 301510259, 591781195, 877415791, 559288618, 50228326, 1049253174, 457188834, 731608314, 167396426, 637508892, 704880561, 23500186, 678105375, 631856048, 725538863, 961180886, 500272317, 542905547, 461764394, 84945725, 501018344, 1052752471, 999932508, 954505610, 440330728, 920151320, 255051051, 448168786, 652867274, 944814730, 879312425, 467447547, 357040313, 994225100, 482751246, 654802217, 683774958, 831635258, 574696819, 138327191, 683575349, 619253790, 608613774, 948047922, 801986807, 533676034, 340794067, 625649206, 1032993698, 59277188, 610418095, 604563093, 19597889, 314542850, 383061132, 558340183, 226273427, 361448362, 524211108, 468922908, 159435084, 536608097, 64332175, 421941664, 214256614, 69771018, 133520060, 894322197, 348780689, 24995232, 88617269, 274652328, 368277549, 620113913, 557958715, 231200888, 123270944, 817112223, 655171881, 929727200, 170144189, 957764777, 770708786, 129059717, 725879523, 705719806, 668068027, 497689115, 448967279, 450323348, 281379642, 639043169, 382936632, 97934198, 660588872, 323832724, 522982641, 314634801, 362506472, 549896694, 615816216, 910878290, 298942576, 467829904, 479319095, 17037989, 832697562, 46281498, 417824294, 219534314, 601313376, 778516068, 609951097, 182519022, 605853144, 494307344, 260291556, 304460796, 259507183, 787040117, 981037952, 193180962, 792088160, 867189708, 903006910, 839372666, 168168352, 729698921, 851117550, 567713788, 126323935, 628297251, 198904082, 756785917, 422796545, 595429259, 326414553, 731342967, 756678003, 291453422, 836572650, 926159558, 368679141, 80098238, 815150846, 658603606, 59863798, 568164692, 15248973, 468631551, 933171807, 840040093, 665139129, 795520287, 1005433471, 46735201, 640875987, 52923653, 719295225, 885954376, 81948713, 458198303, 757201453, 388134224, 261389398, 509728402, 155764799, 479163569, 711157310, 722712288, 534588627, 1073632373, 70783200, 513813185, 240725064, 258569662, 465991423, 234499934, 959286480, 73287248, 424056223, 960957089, 792514601, 1035276529, 185328057, 135882345, 347905422, 88167332, 324095869, 635400542, 327856467, 95866987, 597212760, 167011904, 754114012, 565972564, 648216214, 884062346, 872604668, 471344605, 684329885, 381656475, 671081585, 609339941, 912152293, 893402141, 569581074, 316135575, 584528866, 102595182, 786053273, 784745766, 486714842, 202038665, 347274415, 62225506, 97497045, 762922230, 726715372, 869396209, 857653633, 495623204, 888360828, 756193218, 959687792, 40804970, 362539740, 57050386, 413085858, 146331154, 247713988, 673908260, 285709970, 1005690246, 12537463, 706997243, 394427452, 110701288, 378825519, 247466785, 872262083, 1028580105, 1025597426, 929339678, 148266568, 521150476, 962227794, 610270756, 192663553, 739788577, 576173827, 304969979, 455619726, 245954694, 845470152, 1065913209, 642347328, 886979043, 873426066, 30686769, 529173670, 1068040097, 253031276, 160973323, 839727533, 308264741, 571026021, 488780201, 311157125, 440353565, 363621303, 597904138, 414488764, 394071709, 336989326, 190868568, 479622278, 677344798, 114200905, 302524627, 1023041209, 166505735, 201567954, 1023555761, 883503545, 975614320, 11383623, 2373844, 938241575, 204986612, 374797399, 276463518, 441798092, 983181941, 505813066, 837788451, 71766347, 55990612, 331508151, 568269286, 819008578, 886544091, 536183120, 529555134, 366992314, 1042071697, 639245529, 122932551, 909290497, 664793816, 158455953, 779135613, 279737350, 908467763, 220186619, 852767246, 351526166, 364240341, 824141692, 284068951, 84937001, 771807861, 904557828, 369924393, 115663118, 304246884, 306613378, 248789730, 150876360, 871052775, 333835595, 921478112, 448160933, 978602937, 713221900, 818700307, 119622456, 704121174, 165533821, 547152727, 751505881, 426898220, 984259537, 165174093, 123034331, 928910072, 400004881, 782748772, 110914190, 229603932, 542963612, 828837931, 958538889, 893962902, 914331009, 138657084, 335499920, 478963343, 457992598, 723103088, 536238757, 904811302, 973564545, 251318762, 213180830, 900499172, 260117402, 573797797, 463740390, 695878031, 882477612, 277435779, 529931378, 937832454, 755823078, 988870895, 584413054, 278365124, 1048378892, 12346954, 765763138, 585231644, 469605351, 836737925, 226655419, 106219242, 337029719, 549977462, 259575757, 866094730, 330667347, 991918642, 653416527, 708152429, 810527221, 720986911, 869388832, 598305421, 277177151, 872858504, 823719185, 87241496, 763037632, 454395808, 754204580, 296575897, 379125572, 162900590, 398974913, 301106582, 431256500, 220675930, 262407192, 95331874, 963096892, 414860652, 657698264, 477730035, 23240557, 975935762, 408951609, 321325330, 650504487, 345332320, 503876046, 569904817, 757038460, 135053880, 146211993, 933859654, 142620168, 933390724, 667237364, 795065165, 176070085, 330963531, 377680919, 379297354, 348056740, 514865156, 508056594, 305929038, 1015099284, 425292095, 840676423, 687245272, 609330628, 875049771, 533249219, 161540034, 90396658, 710968278, 169671601, 187556533, 517072422, 564435400, 659156561, 1028696457, 979862158, 4188659, 615836780, 542144736, 165567345, 456658617, 223645660, 1006429587, 935185504, 1008694672, 201974886, 813366709, 654829043, 786738941, 505060645, 1014853200, 808156863, 416603848, 969095740, 296844590, 454974109, 774265072, 885987002, 990543771, 743716767, 982815443, 747195625, 743149899, 219688971, 493065984, 756197917, 979157358, 917425623, 754192406, 499127684, 952318344, 710380583, 364003925, 167107362, 882990636, 69609281, 478023191, 1046407159, 78786447, 29977240, 796445309, 932509141, 946932334, 280307228, 192803480, 758055840, 385674253, 818620132, 63169918, 136388331, 550839832, 715716954, 1072854565, 812866993, 626982090, 974162699, 650130438, 460876330, 679740018, 491570909, 66070694, 373338330, 237184811, 374645340, 517449552, 490391240, 968629198, 534402926, 660546426, 901117437, 739140521, 828022207, 846666288, 418897532, 953159228, 226017874, 614117175, 390898216, 390848654, 651925316, 318020123, 1017913900, 73926101, 426705609, 419791787, 644603817, 699244895, 848668647, 587685765, 348380738, 428953278, 632967897, 345989791, 218841184, 302428949, 453166582, 710754419, 107426265, 240418859, 403052209, 21592385, 731348477, 632394005, 312098120, 53550633, 437465430, 98454765, 216920441, 627020190, 877091946, 418728512, 262525361, 138193667, 997751184, 34170460, 500709630, 597331696, 1027485168, 533232963, 464325028, 562840746, 1064792886, 362262520, 576825435, 761459547, 731506913, 404311124, 79985435, 950131292, 843966184, 1047965669, 589141730, 406051988, 687979570, 818019571, 130899907, 807480677, 709080976, 201051539, 197753820, 676810805, 402938082, 752237542, 512870019, 992039956, 278045616, 371201225, 719902980, 726608114, 630429613, 26179887, 789670179, 828547865, 295389648, 961443423, 70887597, 667078546, 499435081, 978784941, 346509149, 861247981, 975631529, 279245926, 72401490, 516348599, 423120190, 862313773, 271671219, 878689331, 911145502, 740562121, 831084562, 1003805400, 594736899, 198027089, 616590854, 945164779, 423493552, 353916029, 237629869, 980670762, 1033869467, 63355484, 614113922, 588364784, 266762139, 647736341, 785712150, 32833825, 910301558, 693857287, 947880498, 96550284, 188258789, 163685472, 861218174, 897477806, 474445336, 323958938, 334783379, 659727699, 955926359, 714321935, 923877529, 549138671, 404472278, 337146088, 57226519, 169487249, 244103044, 353871270, 372981034, 669230314, 783702421, 876890459, 385218521, 974349827, 978464478, 961121652, 283606105, 755749069, 1034034694, 614820890, 608727330, 1038494104, 366132558, 514114511, 923035120, 308523007, 602094291, 902161782, 359208209, 93296349, 459143677, 517628630, 740556711, 641136301, 857246077, 16617698, 776626100, 1011847640, 252856867, 465284586, 66021504, 200872795, 84235982, 833359817, 959967908, 888452801, 583793808, 1060011768, 708244137, 390702479, 957480783, 604559875, 633932765, 910718515, 9353084, 261369373, 499240979, 282839744, 1052563178, 797084741, 277931634, 416817427, 423110995, 720004157, 637343678, 997652151, 774293784, 227907759, 972683877, 294159858, 1013750924, 663396625, 1003395122, 90845467, 576588478, 699063244, 772103861, 1034790101, 124071973, 553726197, 186848464, 726909970, 849474941, 837947903, 494061478, 430411553, 488371156, 345112480, 181659795, 353462419, 66677403, 457207470, 68068501, 727322487, 575176583, 639140112, 316854702, 291012586, 491420804, 701300621, 965032448, 327041863, 1023253643, 101673824, 364275364, 71978628, 194316838, 96572849, 589992272, 932126006, 445544678, 211575555, 10106608, 472790932, 284747490, 456213086, 823507574, 1029381338, 981933665, 264205097, 353139397, 72592628, 447096154, 249876890, 150153758, 29482820, 613561266, 392693906, 1053438524, 510984685, 285492146, 428015322, 752132535, 105306770, 635727822, 781663670, 617654259, 32874131, 74832192, 473899632, 406154345, 134887992, 732982655, 951496453, 322267924, 538417202, 434445453, 1009451348, 926891852, 428903190, 944140866, 35231179, 1046544714, 41419456, 957999125, 662367064, 168492277, 93004785, 169521025, 31703024, 444002372, 213457963, 377434223, 933919231, 599088350, 997880852, 173961334, 182130300, 431418233, 1003082356, 927354739, 526057430, 796667815, 162814953, 102766662, 623078801, 700678715, 846352126, 974077307, 102485337, 792924518, 984515558, 291939893, 480252733, 415551371, 151732099, 504413771, 95489595, 100067352, 432196215, 45970803, 572109573, 715873257, 528088197, 956298524, 583512512, 904587533, 121313019, 949219222, 894371036, 955219659, 21384882, 392970918, 408168587, 1056019342, 630530791, 700857951, 23602173, 475167884, 720421774, 578604401, 99607155, 473066996, 751637982, 431331057, 15039244, 38764978, 930728964, 767101314, 791119067, 906961394, 68433910, 585394439, 1042486630, 385815176, 971280757, 965572480, 871847196, 445606146, 40501034, 706490388, 544144694, 334515511, 771520749, 942304469, 543502881, 1001461346, 776007889, 166275519, 989299973, 948440199, 649766879, 437947349, 207763047, 245705341, 504676529, 213538173, 211553918, 214394476, 203775853, 111073846, 1038092560, 724185380, 183214150, 93596334, 994553188, 948112815, 926568818, 686962689, 624399792, 858945883, 400628696, 312584453, 69647403, 483010590, 270580730, 419702761, 624439641, 209290159, 794368057, 550139081, 870993800, 952190164, 428292989, 204052024, 709465258, 453860042, 90298239, 368533645, 861173408, 242447372, 587921179, 745476189, 692092534, 559305295, 393570465, 977851805, 437610755, 908283977, 638196341, 1950910, 917333080, 64498834, 847065615, 675946155, 180707743, 863677827, 779441337, 74918908, 665407672, 236298049, 396448530, 317460880, 806688848, 408732971, 48990605, 46698321, 295258573, 440515180, 661055633, 115045527, 684085528, 257139036, 79551394, 997129157, 702585076, 286005575, 518451848, 734735693, 486084817, 879108615, 953676621, 650749336, 609950084, 1044793, 60102776, 709723665, 136035374, 95241758, 318054706, 685676127, 548737280, 9336457, 121779165, 913173701, 204410651, 1033111410, 987890570, 571242718, 292917275, 1023000330, 678037873, 47934400, 65331742, 100831089, 622293274, 611016728, 113457861, 725030, 445845618, 594518284, 627890145, 950581865, 304387027, 872450468, 472061606, 1045881861, 120348042, 397836878, 176247511, 825717374, 828604328, 431249770, 984159227, 648183221, 538111241, 903108008, 924302777, 147889569, 376598945, 332996805, 106708469, 733006889, 261511552, 307099340, 552236601, 254276683, 319657530, 345176396, 1030237170, 794125496, 1054905423, 358904594, 564787980, 1012389910, 801612206, 279604157, 506315320, 757381552, 560614814, 676463083, 741986488, 187737864, 238873897, 253417914, 70676147, 880278347, 898804877, 711779793, 512736631, 383151493, 927195725, 499503413, 807204574, 769082901, 485475940, 96171887, 51862521, 1019426509, 45668090, 53159120, 232429182, 568001807, 481275292, 579295859, 149141843, 663263258, 493745829, 470741576, 573415575, 735944943, 208128894, 624900688, 166440856, 376906152, 51780486, 404523625, 1025934463, 151007307, 310738599, 579665810, 442579791, 972667437, 171285058, 377391600, 154833605, 1019332114, 484060787, 713896099, 821887039, 105732793, 452952519, 838663578, 157952890, 690521034, 830843498, 832550703, 768342991, 811719412, 582988106, 689171670, 962473822, 975458242, 789433384, 649365641, 127932598, 862348773, 63670795, 1050188074, 510341358, 73810867, 267323236, 971076862, 858707792, 604513113, 208536398, 688724574, 31282812, 787439289, 836654985, 103363340, 670084010, 795251792, 672683842, 748494488, 585785576, 2817200, 73646641, 151318776, 131789939, 346137231, 1009327058, 704859884, 1061211629, 859751651, 629773035, 208035562, 518909374, 500441680, 563956470, 680562205, 779134811, 480717628, 34367398, 66099167, 713554778, 147011692, 559861816, 246589369, 426879819, 633254908, 764263121, 776966005, 904242402, 1058760421, 100331829, 1042066113, 547965207, 892740183, 749838544, 823668983, 156759932, 527375853, 924516547, 996469530, 1020640970, 520618105, 890008488, 659911156, 485294268, 1072599457, 787104504, 98179588, 542503626, 73505795, 722453091, 700338038, 284027465, 365552864, 92686670, 405604571, 36072194, 120255118, 444723024, 352343385, 157157588, 118874840, 952106370, 246654402, 408211308, 292728123, 357266852, 406818165, 35393792, 913944600, 414838327, 631880131, 670112273, 207273069, 384529016, 749814066, 748958455, 15957058, 826866606, 69954654, 666310201, 105024446, 105970597, 1030797755, 156821364, 875080844, 968042960, 897363393, 194220950, 737121726, 524679367, 276856513, 61286443, 164096122, 222660322, 108392680, 551447396, 935554907, 692938716, 537409228, 739299761, 335658094, 34615536, 141403812, 205382145, 1004647154, 1071172393, 445340630, 511778599, 830745128, 272091326, 188578921, 217712445, 84482952, 1022183193, 250040984, 308478683, 547432714, 622937053, 709275247, 32554751, 251387859, 504767886, 113789299, 118713038, 1006299868, 442121698, 445329001, 742329895, 759571859, 673117078, 265209341, 696745232, 473732365, 927845755, 221522356, 824093634, 311590771, 1024146487, 896887763, 350507239, 614143475, 894633414, 224931393, 331511953, 723693255, 34702342, 714537625, 585982944, 292011782, 542494723, 765400644, 130166991, 877549979, 848051961, 719930802, 694316842, 880586172, 563967729, 967259899, 1040995609, 771272620, 834440529, 657545107, 974568115, 417661836, 601659924, 489550677, 629472194, 739315730, 417745658, 634504334, 283492403, 676928918, 817404663, 210508955, 229911970, 211596375, 657385206, 289704790, 307979893, 266064054, 285193912, 365457371, 672700344, 874906374, 604097933, 389257530, 1067216995, 75188083, 327759838, 532433619, 625693403, 581657739, 273993166, 617751189, 36708307, 85307947, 867405573, 434712632, 792962879, 919250703, 696809197, 8713250, 970694759, 264571978, 662140201, 69762721, 275619205, 933068565, 146485348, 787234593, 192300021, 153202931, 251620087, 526825226, 359586383, 1043696968, 809204824, 167871320, 124819379, 298120948, 137261483, 541335849, 637282251, 631615223, 613765983, 358062721, 279889788, 232962270, 814945071, 878276555, 796727531, 43048313, 905564237, 1046811442, 716427113, 903267585, 227442522, 401866452, 872252146, 931210726, 954782274, 366227524, 355082039, 332799674, 291641314, 22223083, 995810588, 591645801, 774980456, 378481567, 903293782, 493818307, 823979610, 64600472, 405163680, 112077700, 95557050, 1071510972, 214722919, 320250120, 52444010, 565642533, 651195913, 828309797, 7183624, 448210456, 189131001, 173762672, 1020161640, 970047896, 225958111, 1036112055, 957228628, 587664103, 695607197, 377790134, 161869187, 79337993, 437446893, 62682179, 201959257, 883758906, 66654914, 1070286054, 404471220, 290551810, 1752320, 814902506, 708208313, 590736121, 660301002, 232981978, 332582820, 822960447, 141148603, 874599817, 644942298, 115321475, 677735899, 574421655, 116337118, 82923224, 722100476, 61447776, 123075275, 498778959, 842730030, 556565039, 506835091, 44885332, 594946503, 1064761297, 549460002, 547224947, 407841680, 736239162, 595836369, 33501486, 293358618, 277292358, 850162014, 959250346, 307262098, 957549310, 660497130, 613270211, 892194383, 564432951, 615950620, 393738789, 866283291, 717295766, 987199665, 488984382, 40520539, 78407314, 289466201, 1008848943, 427868919, 816838854, 764141039, 735718091, 814637413, 212560182, 869454199, 748228443, 249120568, 363504426, 326079796, 549143657, 682138360, 764761704, 930946019, 988209029, 520593579, 661765064, 439514453, 881218726, 775775433, 355021996, 337696977, 979806990, 913622126, 874613674, 617799042, 715833121, 1036109043, 378612682, 117935226, 375332160, 48668189, 74538631, 988365487, 299264879, 615191888, 301636505, 644077759, 764219130, 781247397, 927922317, 85914722, 193428669, 371736780, 632411206, 562233534, 72934002, 714910734, 838201529, 54327616, 350170224, 79519444, 487266547, 554711393, 669573928, 115882405, 826962676, 913500657, 794648838, 338608102, 427660403, 70824074, 127678529, 667065171, 628630793, 820778814, 177031090, 1057477236, 795150320, 928171034, 934787047, 756793105, 439181282, 1054550552, 640315432, 739348574, 297145336, 935386753, 518707815, 13632759, 329161449, 846896174, 691963182, 907060956, 515793863, 543132424, 937992536, 1059507224, 200938078, 792850101, 580215861, 66919626, 478971186, 137300048, 916304152, 462854234, 414278125, 602981184, 607390381, 574747616, 850597771, 122213518, 99827915, 387489548, 806078469, 524006267, 818527462, 609407612, 270385988, 39618914, 548642109, 173057170, 348314756, 18044574, 190759280, 685989346, 603618515, 87864703, 289471164, 510017852, 859680220, 952470787, 473683945, 620628453, 348218121, 435434029, 420025616, 468548738, 74488489, 971065680, 768061082, 240769727, 204292603, 890384131, 952872708, 587937926, 1039415922, 992137551, 164499323, 853664621, 206098229, 861132481, 232259150, 875518105, 751283375, 1006227940, 848931173, 780708545, 434703486, 294842965, 673425006, 134268829, 672544111, 626782932, 757477438, 421378268, 415914897, 1058802807, 349154989, 749780321, 238630238, 710870030, 1037716814, 160311516, 1020580642, 125495365, 380862433, 819527516, 193297997, 942785453, 21590494, 615116927, 330505318, 622056630, 639816753, 19865789, 153927681, 565009072, 424824833, 393018175, 297977530, 413282903, 469230009, 366099896, 291205738, 630710096, 413959017, 1003904077, 372229192, 833644530, 475732770, 803152145, 43387333, 194865628, 982447574, 1052286049, 1004941062, 47636656, 825764753, 899323819, 559982264, 971837728, 614487804, 205956448, 463056031, 622424289, 555909307, 276125426, 380646680, 83636550, 534089513, 509630775, 678281118, 833866943, 74557869, 688686058, 545533919, 491239475, 156996137, 371855591, 596861397, 947929681, 1063641923, 481061879, 128316932, 609111587, 317738084, 585774863, 612491330, 670858582, 316290197, 472608716, 509373918, 945869631, 1063939431, 886798764, 295428293, 752354570, 804359525, 726389707, 949772563, 24491339, 847229217, 648898083, 400081898, 36868733, 592313368, 590673358, 269383013, 103605609, 588004988, 16671715, 977173981, 733624579, 577655097, 623530551, 130567723, 303099206, 1026277362, 706372730, 706432202, 242256021, 249786254, 712940216, 219406573, 82286546, 809611108, 9788794, 642039190, 553134911, 21251908, 239096040, 395174964, 29767071, 60881241, 294311308, 189626516, 21917281, 72141668, 188051525, 223202279, 27052254, 629389340, 1036139540, 583141390, 897295831, 815157352, 161959884, 176706708, 750841506, 768781267, 738399565, 165775671, 76132116, 864326736, 784711307, 640157686, 903574354, 415632240, 281952963, 606630659, 41608343, 50196829, 215423366, 793455353, 702100695, 346231397, 727059843, 872066165, 293128233, 10807515, 1058339240, 432472639, 1071812207, 72062396, 194545865, 546368143, 835135404, 234164632, 894189488, 179810151, 504108172, 386162965, 87652233, 376594786, 712599586, 858721232, 746074869, 909112599, 451085052, 677695053, 712588414, 820818459, 520512285, 784308534, 741476937, 585523338, 977817490, 1019044577, 67081153, 623135067, 773910006, 502799558, 615962422, 844982785, 217126853, 155334817, 200012006, 899199840, 720425983, 402584401, 859904855, 128113886, 1049323688, 853291985, 755727715, 289137012, 711814838, 1031531730, 115562350, 54577603, 614739724, 223243748, 182326383, 950380553, 734683653, 796115879, 837995073, 177958879, 137355536, 742308688, 138466961, 887844093, 564270752, 1008979411, 232969796, 725829560, 382692681, 270318214, 109059914, 362298689, 410526353, 433584170, 47139650, 36028120, 970942002, 599879099, 380326074, 755966234, 94327813, 812688948, 78438768, 618648939, 528989027, 982137927, 459361907, 938391530, 62917050, 104153593, 346063936, 282866887, 146530362, 624642848, 217356034, 1009071653, 686904503, 273057250, 966620734, 682683413, 861877137, 925499239, 252478797, 866540116, 958038983, 815842723, 862762539, 903838505, 887509829, 936995772, 651950577, 152658319, 354302865, 264221398, 342907609, 576657120, 354959794, 669419187, 901681706, 775248214, 1040362267, 171708353, 577338706, 6028557, 265954007, 635647233, 500104739, 120743208, 839674171, 294796014, 50113176, 919804103, 664933747, 861974, 801030722, 252880982, 1058679708, 750759784, 458255407, 87369583, 1058268032, 299410280, 414882665, 569305536, 15183641, 801598332, 661835157, 84186392, 251919458, 1038530275, 375145290, 344540091, 848037389, 761655506, 951330957, 682997414, 641815395, 242343565, 270980764, 363678899, 1072614808, 559318210, 438673287, 1052423413, 924062513, 697161086, 891021710, 214158200, 799142836, 893568537, 503014380, 135035777, 878986089, 366922841, 949002608, 721491449, 912086178, 691806589, 582193027, 4267419, 631920451, 582751925, 498573093, 192214135, 837525653, 35623005, 28646414, 1066679513, 565308695, 83838486, 383825574, 417288472, 429167786, 1012178044, 952800150, 8534347, 861719345, 1013253255, 239745750, 148105119, 532213707, 520967419, 416907266, 1052152914, 740162791, 894377065, 1008754460, 692218120, 1067025029, 419034572, 895169854, 20538072, 431866382, 972105859, 372766556, 200687343, 716504218, 107078194, 507004689, 700395496, 547027240, 170163671, 489327124, 986103986, 893968949, 181614149, 100035986, 358129334, 926365518, 346139097, 327124566, 1050989290, 199875803, 979970963, 764440406, 332559229, 483140263, 953754589, 378484389, 284910156, 337029122, 642002073, 514958470, 1004769273, 169237198, 580319982, 437161427, 1033726391, 114555711, 770413278, 279521361, 145076702, 831070071, 704210462, 983624804, 186402720, 619247687, 891517869, 112962412, 761392269, 391154925, 58439746, 290729646, 908325734, 210003702, 1056552649, 574453124, 308368158, 510735221, 353680626, 1046202872, 1016554912, 304841354, 315215152, 660776031, 722386263, 54945296, 364532953, 15034311, 587471318, 626561486, 101222011, 1013568526, 233530195, 802514418, 890947211, 61275014, 317806023, 1071719506, 732770547, 342315105, 1031374001, 519789878, 799819723, 853338610, 267762672, 1065677948, 950480677, 861744434, 153293198, 770641819, 20281164, 847544625, 387606626, 203183264, 1034178541, 984226366, 442700567, 121622462, 215372328, 947187961, 178686637, 904071160, 449622778, 743231658, 57746791, 634222767, 241571493, 585158951, 39328253, 59143068, 544863346, 111859850, 374625969, 781281875, 519246454, 1002717992, 515617298, 798546220, 923825099, 627302255, 451560483, 26881578, 763844165, 109949142, 438990237, 9101536, 808211735, 199786433, 514424881, 69613394, 938561830, 822153975, 500160110, 354906023, 913173638, 111238786, 718501716, 305109915, 923011070, 542207821, 809420582, 628783533, 332524444, 378393617, 250659188, 811776872, 792782647, 756940255, 1018681859, 522449242, 131149732, 474346579, 715301223, 584422940, 714266212, 649454322, 274223672, 187752005, 362286372, 668050725, 952569671, 792328952, 665487606, 464950976, 482813879, 438561127, 15177968, 98659748, 206599231, 469721852, 754781828, 117513251, 171866704, 937343726, 326074410, 845155945, 368137461, 313019355, 789565869, 462629144, 595752480, 161290264, 140514781, 93527702, 835905619, 219538844, 534571643, 829353269, 408706641, 931342493, 486709848, 357893908, 147872652, 895395307, 784206904, 285787494, 1071968634, 33741935, 1069757621, 138719033, 1066862837, 884402858, 182533461, 262972372, 995259958, 627220019, 909343630, 681652847, 1028565290, 977160815, 250556548, 292698270, 890541147, 220796901, 949536916, 111304078, 489366518, 51676202, 304983379, 11381323, 386048250, 376772097, 865498823, 751367216, 767764551, 32047133, 692269060, 571436917, 555005685, 777217666, 831427252, 755574770, 595421666, 774004502, 253347671, 192505884, 814936862, 63056879, 640768881, 746540497, 156801659, 920168227, 721047183, 482820854, 994839219, 522008335, 452834262, 67603079, 977588278, 65056553, 145846682, 623222377, 666441404, 102242579, 753237935, 192295871, 289857039, 62007134, 391444318, 598307400, 183864677, 582897847, 280668186, 510196414, 682435294, 313392376, 949714307, 803811428, 330672461, 700649270, 300392010, 512037130, 262341442, 172305199, 406565153, 1034090189, 400798009, 49333457, 80713293, 595641710, 704511918, 1047679256, 174627448, 502730942, 245515369, 21219186, 736929141, 796534472, 437003231, 337981908, 476197799, 938623355, 804419398, 602027144, 237000869, 944640005, 916947710, 868368449, 14494019, 457894827, 153234598, 677736762, 974989820, 294531672, 481903040, 9322032, 542480208, 288141580, 2680349, 277304939, 45485791, 643048723, 435637408, 445809393, 975822157, 599860477, 931571861, 436082538, 962729952, 443398181, 803213672, 177501900, 743409598, 807922610, 233877525, 766088516, 605884077, 591434780, 979940326, 392408896, 676876568, 1063505092, 823345740, 532637679, 823906621, 143243376, 659408327, 589543597, 661823028, 509186825, 918460433, 306995941, 833734834, 1045416497, 894484358, 992019353, 258928951, 464659134, 165508080, 918628752, 771688283, 315007033, 724338189, 659787546, 785470479, 815620571, 126642295, 217423609, 666874020, 139502936, 355929230, 1025774583, 761447877, 337685763, 828280945, 790591914, 524969227, 365771072, 879440648, 760417900, 209124575, 350224072, 265295377, 48476897, 411472934, 945990135, 917536234, 98624862, 389886181, 597486038, 551400885, 24281691, 423480122, 322568450, 968010285, 138565027, 716070930, 425518303, 459878967, 393139901, 11849631, 827695836, 386189839, 108761112, 137095511, 500829305, 547792434, 574400411, 545180956, 1064119661, 762052955, 1041092903, 808987463, 803302666, 477069323, 907528867, 708905484, 224665037, 569914822, 96567976, 36290929, 717378471, 258138280, 981865253, 739326272, 968057059, 661026114, 628194229, 229672846, 485057908, 826321532, 983414368, 12869333, 891409583, 372567556, 215925258, 627349014, 631689642, 614283713, 950784917, 613836872, 1053576741, 1066735531, 43219048, 272437585, 456304422, 297361851, 1049404510, 693714248, 756649969, 714709530, 599917200, 888433398, 312855909, 194550556, 947643584, 725445762, 76429984, 343618183, 147673588, 447756217, 442585416, 467544106, 770884919, 427897662, 1005334415, 318582670, 540025381, 639723946, 838840174, 872626942, 762454265, 1024936188, 454023293, 956342893, 609219225, 619826941, 175415287, 149052433, 554298336, 742755113, 959586820, 303663131, 894331119, 832510681, 313532678, 105965586, 1007195080, 793301353, 898030520, 134470589, 658654325, 653988777, 911375018, 1017594097, 214097673, 258078584, 272172366, 241138790, 4865665, 335373230, 596666139, 501178300, 115972881, 472369845, 769567409, 178823820, 1002043757, 863673082, 149651512, 348579389, 273878282, 190124137, 750885595, 438883157, 1058751171, 838833355, 389506984, 340642967, 580644534, 762700435, 736610306, 831289318, 381168056, 802422030, 750100406, 394503702, 656557450, 1047756836, 374576306, 221020899, 236872401, 388890397, 7208644, 771150753, 390004155, 229611172, 490800721, 118601013, 405012156, 220912428, 899447855, 684548907, 151799715, 866227261, 606956461, 406364980, 536614905, 143077465, 439547311, 7098045, 188728886, 383505866, 570005532, 251499624, 863324440, 654177905, 241316047, 1031914725, 518475211, 793399204, 836675465, 775672448, 1011167097, 830540326, 174356770, 94442493, 616864524, 406055253, 149985959, 317618445, 423049033, 920123070, 379586502, 560769839, 347272249, 611827182, 466663305, 614440501, 79564008, 218653255, 775105997, 283004810, 631735992, 429518400, 1062114271, 387230242, 300935065, 1006235383, 709876889, 547650152, 1013941307, 743916229, 967581723, 181325076, 1069932688, 979057279, 821291506, 226566407, 945961976, 645581037, 711333263, 791509480, 97667990, 412897178, 784969593, 570590017, 700370001, 264086990, 421068382, 425790393, 508459574, 473045683, 786108190, 143070159, 193351796, 835390049, 911213840, 630666016, 730974375, 755533141, 569187715, 535471025, 624640324, 455160072, 264760449, 581510014, 167997638, 315689541, 175987162, 1023448826, 969038532, 101257976, 688579150, 295445219, 439564751, 873356797, 752341949, 30120587, 150126778, 307031218, 563491653, 1058015847, 671120462, 98165953, 877493834, 63360063, 604713914, 141638659, 1061717569, 343898985, 772503801, 643512902, 854960602, 792501237, 436942013, 626339315, 312629857, 623054697, 1048147487, 175048512, 907455932, 875935370, 560316164, 353551364, 1009142830, 713877561, 995627462, 681463331, 420557511, 90418700, 188544018, 797087901, 382725523, 1064089929, 154493784, 501013273, 270191204, 502847028, 811601082, 27015549, 164061227, 81441560, 381438657, 154469416, 201201471, 1009672933, 267825682, 453992359, 104460663, 121550519, 266479470, 678235727, 252290598, 451951558, 51353724, 875934348, 16192831, 820026191, 75386337, 903555132, 744772996, 450818335, 566137350, 154116720, 929911193, 435176155, 234556326, 849866512, 24596409, 518107321, 129257010, 202719403, 392362654, 215409314, 331363508, 423930994, 909930599, 1031628746, 84444003, 962833652, 1009785570, 1071091321, 323615643, 709669541, 140865199, 672426051, 1068944982, 536149864, 794546514, 9068485, 133045259, 320678253, 990592983, 840476375, 443270779, 178624735, 665635386, 906779606, 799749986, 104521295, 798079099, 54267728, 1064275057, 420472054, 610634710, 444435463, 292734763, 1020741321, 447024108, 329871571, 228014916, 25941941, 672250180, 87154919, 288798550, 291609573, 400513248, 917847999, 483500821, 740085372, 985406188, 652151441, 885503519, 956525679, 359905489, 717234928, 294340666, 35191694, 536878510, 1022176505, 870326870, 118980140, 783468434, 480992956, 163963680, 776301781, 558632075, 799597530, 680143734, 602088284, 1069423072, 960905948, 692052584, 1017310723, 641162025, 536029572, 796187915, 264626921, 270702637, 820028899, 1007378863, 669949431, 322547178, 894259390, 635378479, 252757888, 827600636, 134264160, 400831709, 274718260, 305696139, 480406506, 1061778974, 934127492, 514745565, 958642480, 197215645, 65498174, 712436055, 719805933, 69099684, 901227315, 1546823, 270886449, 265516683, 163812134, 848713597, 638009150, 268915848, 859853444, 475438425, 349212021, 226174486, 392123042, 603012139, 619837424, 774591798, 949013436, 16818992, 669821943, 592890144, 265322982, 417077376, 1023857951, 17575142, 118048271, 533011952, 565735832, 492225036, 173544316, 724211706, 486985137, 293742512, 316559266, 425007132, 752337416, 405541438, 897602021, 617746189, 930288513, 429780652, 991117680, 42189826, 482028440, 1024634796, 875218508, 617204009, 473169640, 889823336, 680274752, 841147564, 507801999, 384408944, 77645177, 518101082, 20199211, 1028720267, 495008591, 667440813, 20990228, 926793862, 94327508, 105042174, 41105931, 347089380, 584825900, 281989202, 924349939, 151290223, 456580094, 932198023, 58316200, 361965207, 657370200, 124012582, 1044379182, 969950079, 533164694, 1001409107, 878249543, 478396356, 966462844, 763697893, 782317016, 750666492, 581975915, 38655122, 774758148, 539757380, 151928972, 479156436, 743878028, 268296554, 512687523, 20870823, 421809956, 888652673, 771137774, 291597157, 666241717, 69717409, 452711115, 558642305, 355577113, 67940262, 848001704, 696069578, 154429501, 491845536, 971226699, 200323745, 563927743, 792362453, 577666607, 91787152, 814818975, 931406204, 97112416, 689233421, 507558279, 229795468, 428340994, 10380799, 668011443, 1000496220, 697109619, 556533640, 100221097, 1063006977, 19137310, 492926411, 586340064, 740946843, 483601537, 18183163, 575630808, 106534790, 186699159, 563669376, 784531233, 954190445, 1047581034, 72621519, 180456955, 217684507, 595575839, 714193705, 359897924, 690049977, 868166717, 572024629, 363966057, 916292803, 374999705, 1391583, 244489547, 793993325, 782644279, 994945000, 126422210, 567665932, 782100563, 13258757, 58077764, 172438975, 1003576186, 960465396, 48235294, 113656481, 793686371, 72401912, 482572168, 583160940, 380553214, 15988822, 459575440, 550021340, 716356045, 239242412, 667846246, 138322820, 418031234, 400751745, 1042975145, 715344622, 488152725, 180665918, 349004842, 933836640, 611868420, 555811062, 980114552, 813681776, 992571519, 765979440, 815361436, 560493472, 39368400, 792442232, 16090073, 848412129, 200310864, 421449633, 444220635, 890901316, 1054886216, 989810128, 63897995, 460412590, 897087566, 434241553, 11573388, 1043104933, 397642426, 682990285, 841308766, 1069660634, 744287250, 895718550, 917605726, 212349619, 75923799, 626899538, 516489581, 637477004, 875508305, 290950660, 502417895, 588812038, 166418755, 120310336, 328957596, 437435379, 1018612048, 144803024, 1032164101, 325873668, 500188678, 127181225, 686274275, 865039149, 304102196, 891568529, 146959266, 762216094, 350944023, 622407891, 511520039, 467412742, 230278343, 403584715, 513975528, 1044667314, 287367603, 575071370, 77142613, 133498353, 229403215, 883374887, 231415530, 185310537, 645829897, 636994690, 990638463, 80451863, 240136548, 479341109, 965755328, 779093769, 806081038, 103424294, 169033171, 620434720, 11490890, 359899179, 581986850, 130495779, 206631897, 835560415, 635709308, 147964323, 1009440438, 860078020, 496524015, 751683797, 763659037, 655956550, 632209590, 173237894, 275309393, 778213545, 991320597, 583878648, 954391572, 31007390, 451318037, 566141055, 158219534, 996489387, 855163650, 661236457, 307245523, 430137608, 890534154, 956222192, 1041840935, 767655222, 662176281, 347279805, 650305147, 855556000, 943419650, 535321741, 728359773, 1022719632, 31207279, 709087379, 229769819, 142876342, 356681050, 197632231, 174912913, 138565985, 142259058, 804273248, 240126106, 228232135, 371264623, 1044851198, 510902582, 594751405, 583969367, 664207992, 190012054, 774798846, 417533232, 245412978, 27417844, 651345434, 527501318, 388857455, 9345751, 642012388, 637571387, 528010007, 714789166, 1018934402, 368348014, 395553179, 636289999, 782225373, 111475796, 72849024, 619573670, 29829510, 181553330, 658304317, 619736033, 779553734, 703883872, 246724558, 716294290, 1024192487, 617899981, 915016795, 306924437, 407640811, 259630725, 413029116, 723215674, 195427559, 140042141, 771245056, 358335572, 736510083, 209968099, 399461121, 91458966, 901650410, 15845863, 390154033, 750747486, 431178164, 13560840, 848984869, 1053122362, 1015687757, 327380788, 473568759, 879466433, 30140411, 431695828, 124469486, 10376417, 949259964, 956444634, 158557606, 798706403, 432757530, 1073331609, 769435749, 101524881, 271704041, 307036012, 736832458, 756929187, 401624417, 320962345, 734709697, 891143762, 611511973, 150675528, 862626039, 189729619, 779239889, 997740865, 91725786, 913315010, 348857499, 813502048, 772316443, 1062708842, 448568455, 401522246, 722109901, 344006644, 95307097, 102072406, 372363163, 224813943, 112243150, 144827783, 96713106, 305866515, 940136411, 621925825, 695509943, 494341371, 603652661, 152270226, 474668896, 183120778, 1001579719, 770565231, 472635889, 210472191, 421999164, 750729599, 936229056, 1061214241, 752962599, 296922388, 942589005, 171775078, 401251719, 693289463, 913793498, 31983691, 479130310, 414326339, 825244269, 275742101, 1010529875, 1065634684, 735146318, 271524326, 941322581, 577961446, 1003358515, 261779299, 656105656, 1067822287, 786718258, 112374189, 177757440, 549130451, 585677838, 575869125, 406282244, 864739131, 357717436, 384029495, 812097288, 182512812, 729097370, 718455372, 740413905, 169786300, 246294128, 433419939, 396074004, 662555069, 41545406, 115535339, 581116558, 827731562, 843918657, 809982163, 377881956, 353538582, 201618539, 622387987, 60057783, 505632847, 16056348, 1050646891, 945046737, 768407422, 171191295, 95684148, 186290982, 799313976, 364122142, 501868339, 797919715, 423250968, 577712879, 723993709, 573219328, 54612643, 780475883, 520329714, 929738981, 596533119, 768166938, 1044222041, 106020064, 1033276563, 377490951, 1045203093, 999883130, 628225604, 373101951, 688970221, 606929664, 227978315, 333699206, 400721598, 982996683, 323768114, 894648088, 83570810, 703724120, 991526522, 724573227, 169091821, 66196618, 553388064, 691429207, 875050420, 590180544, 819515112, 724921028, 824918009, 874853818, 770460177, 939665233, 855716813, 232725344, 333860435, 266910548, 241168462, 260363754, 695299667, 839650837, 468110147, 664219710, 294275568, 114057957, 386257514, 196802451, 134595484, 156510067, 868828628, 1012377374, 654752663, 337007413, 574125318, 749642239, 382779902, 18870587, 744928357, 224909778, 959453253, 385269107, 536812532, 619401329, 542376150, 245707184, 260817964, 731392924, 524081263, 155534102, 1022489990, 65919673, 894950065, 231020929, 15741587, 834615314, 7119078, 245560081, 110213284, 807875802, 131713687, 229423853, 631736446, 121940250, 919186463, 441769280, 900551067, 164093233, 443673512, 25194487, 900496935, 665157466, 1002781875, 1031623935, 981629442, 449284118, 701281471, 897440527, 332380017, 268830084, 604720216, 734086546, 493470852, 287654313, 97706542, 16353781, 9808434, 109536291, 22541366, 788759154, 1068822790, 1020291952, 401338525, 788155450, 927051427, 984106638, 45510416, 355153601, 159548268, 1014549841, 438880806, 643111636, 600727631, 234286784, 147997410, 688265033, 977413590, 194237116, 401818204, 225441273, 793975675, 755320335, 654597756, 1013809318, 392773822, 155528175, 554365319, 310462273, 383409742, 883974728, 30526394, 561306679, 257715194, 380834592, 456046603, 894449556, 85969293, 702394127, 356717343, 89529123, 596483157, 949676818, 432252815, 646475433, 34465518, 318733577, 411994176, 934952606, 137979720, 479557051, 149592653, 889328095, 439432853, 568610937, 905495221, 131138411, 549115328, 757970839, 51973082, 617341325, 807962924, 241919616, 793319001, 304823840, 966764283, 598838811, 172100346, 861693996, 622784039, 284085030, 642092120, 88500277, 398012630, 527971369, 818574483, 707460071, 701939805, 834757837, 239437009, 14256492, 779815504, 856611395, 863338655, 743483738, 805638504, 839108195, 982735046, 607769400, 379343913, 23264363, 376437711, 591548264, 878183801, 996180122, 126830366, 259927482, 813137090, 387401131, 619073927, 944032330, 691014127, 708938520, 341991848, 328655667, 82265743, 969933691, 325544657, 807717855, 995803117, 855045823, 469046632, 698160130, 818935306, 201075491, 399453087, 543744250, 294526894, 728596263, 769229834, 302109683, 323360311, 665405942, 143252068, 395059137, 125810842, 302139546, 7848235, 326958696, 27315467, 583972805, 731117013, 46751659, 202892119, 237193190, 257226187, 843085458, 595317128, 850317748, 427644878, 239715708, 191617486, 495705591, 686684731, 1009984275, 828194086, 719755678, 78049846, 20445857, 805861038, 326004381, 878538275, 863968317, 27243522, 739231498, 110511703, 428882610, 37098869, 896647166, 211623805, 707994228, 599751456, 750542216, 1019357755, 650711106, 452369012, 394314096, 232166174, 1011980653, 355966124, 1005744072, 771324283, 434486611, 95761150, 515105784, 169386999, 916875838, 470128718, 567119015, 73294127, 422911286, 740480273, 136850329, 405580877, 222016206, 573340430, 617775734, 32655902, 128653232, 746403606, 334311801, 152074469, 647785056, 277671821, 436761648, 154195159, 64861053, 719528958, 421123765, 761029419, 991971546, 150834586, 548786395, 114532906, 151645087, 504304527, 625720470, 919052910, 832874482, 371144296, 604693887, 672806599, 923956448, 6652569, 332932050, 71648563, 1018863945, 69648537, 913548736, 130892892, 640542922, 373699676, 124843598, 946685372, 609395827, 368805468, 686307826, 1004816916, 741638920, 389095572, 108681859, 688913864, 557855164, 102313337, 674568520, 842362265, 717657676, 798832202, 739924933, 854230420, 661955376, 280369815, 278265069, 987280025, 980892145, 952078783, 454019349, 66009463, 327750816, 738773113, 1018299253, 894693582, 45545643, 532085096, 939575261, 753533017, 915096832, 947825494, 67120376, 1070361956, 51936342, 370349822, 645770559, 697691252, 749203294, 134112210, 1041445642, 754965585, 600624718, 1065964335, 374878309, 1039892445, 246837714, 1051406971, 831734529, 352455652, 417864196, 448369781, 215167922, 340108755, 634734391, 581518219, 214485381, 348549965, 853667796, 786074624, 638512707, 554747722, 279100632, 127988179, 983322147, 632226869, 150564874, 383741899, 109017253, 1040670547, 393164046, 442646832, 520074188, 536180018, 214776632, 276417686, 220738305, 456749240, 824629427, 795763060, 357692673, 89638063, 890884731, 779007512, 586602918, 393733220, 312914713, 570062668, 990070337, 503850324, 439485259, 388247263, 716032429, 958234320, 156280168, 396071305, 282814060, 410544411, 107690999, 275860571, 1019476117, 709507021, 427403943, 489821452, 858956844, 801825324, 637415502, 523825466, 454335820, 161678749, 182378915, 852774732, 655752054, 403451225, 108579337, 183744594, 1045166433, 514657215, 441849987, 908378595, 683018923, 493015247, 615235960, 167452493, 850226953, 705750534, 654327970, 520109940, 726116742, 869509809, 557761546, 82811421, 958940025, 144489992, 302331974, 19189732, 374570318, 864790355, 475291328, 805207553, 1068272158, 1049823688, 398208907, 844510531, 987926673, 543973639, 698554162, 528194331, 186348961, 447622126, 126656514, 1056364386, 29634579, 585592786, 190844758, 622820006, 168191600, 455706893, 410910584, 745022578, 318724404, 289582013, 92811536, 104935339, 263491408, 21499662, 771285283, 224316654, 160738973, 6905580, 218536054, 798133395, 529812784, 513521542, 527226041, 796831040, 743278826, 970229081, 447451466, 304722990, 918980709, 777368058, 827399445, 899677359, 773436427, 844205128, 247357248, 521378526, 847350702, 260318360, 419737914, 734379388, 574208487, 845095893, 50165286, 438932935, 429626467, 160251222, 279233884, 91956669, 751850266, 1006894613, 8862545, 242832393, 712907054, 397440236, 445063496, 878874321, 1051436854, 113542987, 995730, 6226192, 508578876, 627662350, 374241477, 371567754, 1052709923, 717948440, 475133501, 626527654, 685916309, 290733642, 1014637703, 195726615, 540965811, 961606354, 966666647, 587072803, 1004447604, 146360647, 650521364, 894245898, 1005410768, 328649035, 300034800, 930020659, 951553528, 511771836, 807247772, 781323424, 64404239, 563196885, 814922262, 616376685, 867020733, 781831980, 423165191, 205496740, 458159082, 258426943, 455714376, 31166856, 553575466, 123753466, 927110637, 1005086760, 163277207, 88305136, 1033983270, 968231023, 27046759, 1019979084, 184964235, 562311742, 24460801, 987025659, 1071516464, 912049121, 937267065, 694297074, 345184289, 295713414, 636844249, 931842101, 221079866, 825594339, 595770320, 631623691, 667667325, 518014843, 1067740711, 279127067, 196917861, 764308732, 253267343, 445141515, 821456099, 841414166, 370900145, 183320285, 812200827, 487274493, 441268557, 452309953, 347031320, 273031048, 526275414, 716134, 202056156, 473352911, 812888080, 784296560, 601665647, 893085209, 870537473, 876603526, 351517964, 471779709, 1040119901, 121792903, 530408445, 433972605, 782009097, 1063633906, 751536188, 368469575, 406320248, 661848591, 1844672, 878213325, 982793286, 1037262072, 565109931, 857381952, 1048662113, 876308887, 963237714, 253758733, 429352827, 1024422197, 311065587, 578256654, 303289605, 381533240, 938880632, 127676629, 235600024, 782751735, 1005992151, 186484792, 173691324, 1026190559, 118992623, 112437423, 218325591, 855326886, 680524298, 288956938, 550593893, 527261272, 83592305, 580794760, 715384808, 1046928161, 1031375952, 1016882916, 625536989, 886209883, 801168122, 726110950, 405021770, 825463189, 161158289, 594047450, 703375585, 538982854, 50894979, 900695715, 446818199, 483546833, 387022039, 65389547, 30973599, 711401021, 109202310, 302246258, 923817837, 215252479, 774335937, 58816887, 950486371, 696224826, 1013632503, 201641298, 903756720, 430381562, 650477720, 9977134, 659615331, 769131711, 469132093, 180215616, 265453887, 325490771, 620829444, 806450003, 89314825, 49072011, 337598083, 365301340, 1053981125, 32091912, 36253320, 851997273, 594084499, 976322493, 724434931, 806958175, 531491105, 314010076, 183942299, 496678312, 580777983, 637161302, 426947074, 224224726, 940751647, 608961469, 939480384, 767921252, 526641664, 102386490, 538563329, 4967073, 62137606, 929761229, 659210022, 894578532, 755333632, 671486422, 731098213, 669256897, 331973559, 330256252, 56689451, 929074847, 663317708, 348375472, 711793560, 349587010, 1064195387, 590652984, 52433567, 685536355, 279783695, 268154031, 861343689, 188787726, 780500317, 692091323, 665735855, 206988698, 174767281, 43441845, 361096599, 479749386, 949932360, 717213208, 59406761, 753138096, 14034070, 513398692, 422554048, 411049281, 77875127, 948087215, 323959210, 630573760, 834417528, 373723090, 9971755, 192253398, 178203487, 530773357, 246075660, 894564565, 435990693, 771293450, 931725985, 69777485, 542620449, 334814709, 423002978, 775580304, 639230068, 137458707, 94911728, 992175067, 480739832, 332535910, 475944176, 298663827, 445617985, 768782030, 191602878, 898810762, 388353203, 585380896, 310069413, 232330196, 915692958, 858652665, 87436639, 531040588, 427863744, 352659978, 51558836, 16607127, 1018713745, 159409972, 516637872, 676416616, 721878264, 225316636, 397416563, 448797977, 304261801, 1030439528, 935180531, 667797216, 510096896, 854097029, 619140036, 554029252, 715385285, 13100543, 286994235, 723855095, 418541549, 137341021, 701861737, 197925322, 741955581, 827149964, 160795285, 614974630, 1072437976, 761483163, 1058623995, 218466055, 119569306, 597695756, 594784741, 293323773, 741458398, 535323813, 644071449, 402994151, 281921684, 1018233413, 235318249, 533311331, 547876354, 837860229, 169527916, 671943594, 817648266, 73341389, 570238718, 380803762, 406497370, 129188702, 140907433, 497172564, 928441681, 1055969287, 798107924, 366938670, 883797882, 712188805, 807621273, 597998283, 1014691877, 80495405, 79433178, 338557400, 446459900, 610825923, 876025769, 392190246, 65553862, 719110755, 817864154, 538596507, 374625719, 285069717, 630377229, 130828283, 785223912, 140716725, 134282216, 1040160898, 111250981, 865789030, 683578967, 541935437, 791113205, 974129105, 883680742, 247297557, 1041210788, 632967956, 439965263, 239018892, 438551711, 714527474, 505359146, 727562697, 552631201, 678324116, 947437386, 1068922022, 443847159, 865253838, 293039842, 172188025, 1062775527, 815349837, 179566394, 48524207, 898454671, 682875543, 120254443, 701408529, 254543783, 756089058, 656292883, 207308953, 725635401, 120564676, 85347270, 652244951, 783436952, 661316588, 215046698, 616742308, 317568204, 103071311, 419456119, 96855987, 886544802, 590319432, 263214504, 752500595, 1037526101, 848205763, 747686007, 736251787, 1013169998, 617770087, 268627597, 203303743, 346220324, 513535806, 867298558, 211351152, 867950723, 1057195000, 263946929, 860053519, 18316976, 179919212, 701689665, 338700453, 878732039, 273244903, 871610236, 937277374, 295174327, 435895112, 1020074183, 227076941, 1044486741, 101981007, 1007637744, 740904703, 858343223, 93552361, 319537222, 586021632, 204733409, 637346231, 114687558, 881013961, 1018507661, 553971, 369001742, 54187937, 810629711, 267021946, 806264365, 340433894, 610138930, 307138188, 286726709, 128694511, 931528669, 999322971, 695224727, 300255357, 931165232, 308631757, 561813958, 93891987, 695465897, 764905498, 866410750, 1026806417, 656823163, 261395848, 315998616, 1049061189, 662109808, 600424982, 917141654, 2968391, 646327330, 477008603, 417066292, 579461058, 1211166, 792381644, 176316334, 489977244, 521158726, 549526373, 746811077, 940722362, 771249114, 678644584, 281514446, 251263574, 668374916, 406194017, 879612274, 7358700, 212614269, 336523230, 61882732, 814037486, 668912264, 495066829, 1061458245, 431991403, 1033304549, 549740518, 998912064, 20573145, 88645117, 76003738, 694523333, 127427621, 525972807, 105339117, 348872282, 81008672, 793941382, 273675069, 524281361, 760426175, 494550126, 777378373, 383615645, 792048385, 407644, 36919043, 105901849, 62573256, 780765012, 43001123, 154737561, 616653607, 398529947, 402366914, 344821008, 507746520, 136032064, 155244394, 1065801936, 529617578, 883242129, 1025251361, 197675137, 1002813278, 255011642, 202536467, 278083392, 563780042, 737621982, 117106974, 616385216, 991177173, 898701405, 763969651, 80695936, 1031012837, 923724656, 608648613, 890335167, 12330641, 904869567, 557737359, 812993149, 204640205, 777588679, 110994227, 594549770, 134006845, 654562331, 855787176, 79016884, 88410717, 132858643, 700320993, 738091509, 566093465, 160637713, 201870953, 1061282744, 452599686, 562567589, 900704690, 477078686, 337662855, 221495381, 59479264, 838000904, 818336107, 469669543, 301787186, 548721800, 268510586, 1062326378, 106640957, 858878311, 327856972, 841527285, 1024862049, 370289529, 812311131, 175686261, 875833422, 374895000, 675259325, 6637551, 587487594, 919663700, 14060814, 85753324, 737865621, 172756025, 682433248, 989263390, 275430861, 682757365, 406219769, 23247591, 171430870, 360355607, 545970928, 76106571, 617402426, 284971703, 346722903, 3990172, 233319727, 462008530, 229862082, 759684003, 213370365, 512739597, 915586141, 407499019, 714054251, 268698521, 548779439, 825359670, 386927790, 763285737, 44001006, 690825286, 337949607, 557346722, 966082880, 875618974, 861797729, 481651612, 1057147993, 167689146, 512648340, 937501338, 500513378, 573996285, 159771615, 351535581, 175217404, 566615951, 414334601, 604286058, 840207567, 1005425918, 654779831, 823788837, 188984408, 694261408, 1003973540, 293295931, 597182156, 173211953, 346478567, 557636859, 188406550, 342234879, 532301207, 1007497375, 300392450, 941538310, 808569400, 301014224, 401862628, 581148270, 552444730, 144586596, 49418696, 28180252, 559696826, 540915524, 999228083, 102875032, 997970131, 809813273, 320345940, 197972264, 744663098, 534434646, 996883640, 333403225, 71071432, 342628223, 114039025, 525907549, 500455646, 72219784, 70210832, 79344157, 469715655, 773121218, 358954401, 772791654, 750666387, 116156216, 741168812, 596516971, 1008885705, 1037400730, 545882657, 671690919, 72386867, 215268494, 998317590, 613607043, 726209699, 274889156, 145047297, 26368579, 534485420, 533975035, 23635822, 732824919, 219527634, 456264883, 88318700, 955890841, 15898034, 47539112, 649176668, 1072839659, 696528197, 761713120, 853517278, 31432523, 519129490, 911856092, 121874704, 991487394, 81386599, 957246579, 185472658, 192950030, 537935635, 411790660, 839186117, 765266769, 588743528, 777031060, 262849784, 539372440, 985887438, 901988259, 719688231, 164589033, 926363622, 463657468, 999854743, 716951917, 558485331, 998081113, 595612519, 37846704, 509476870, 717656006, 1071711743, 405014762, 503983335, 981252687, 867884773, 351860563, 407401820, 71068494, 601783507, 423737539, 927579273, 212681885, 559049983, 211076026, 264642940, 598927480, 770587100, 814428519, 698547733, 355336347, 435963444, 325171243, 729209987, 732573742, 789044631, 1061189232, 154413317, 8669511, 235555143, 509663536, 795965308, 737996080, 851320033, 550358690, 167519346, 720668888, 187526361, 722177897, 168073839, 484757855, 333905752, 679780197, 465215794, 255048471, 768598742, 293106847, 501577056, 180965973, 89740253, 303067557, 607994424, 1022009085, 224581827, 687235272, 466001276, 313857249, 681079685, 344096719, 876508814, 345594083, 464511310, 670057548, 116769727, 249407197, 425349310, 777756600, 153440683, 655847696, 191869986, 232609523, 453693876, 9921905, 929275610, 1023083013, 768953707, 171193288, 709053719, 416864172, 940677268, 1044354090, 183900514, 993559061, 326820039, 928162974, 58636589, 7962845, 347420231, 442739373, 292629597, 64013913, 766041697, 735384071, 841515154, 19301724, 835426789, 251515994, 307621534, 968720653, 352169043, 652645669, 192698921, 600982117, 843765671, 818916686, 824577318, 881414722, 278306518, 837802494, 688263294, 155349018, 272050487, 249924921, 363934800, 204787821, 681027762, 736084841, 562606553, 125950858, 278778824, 749169300, 884608167, 432932878, 754508398, 165659990, 664193110, 34428447, 226362488, 814151235, 680131020, 841788622, 174699610, 189304218, 343671229, 999663231, 624048075, 30456920, 740333825, 178702372, 104181291, 608396201, 269827695, 760816430, 561214985, 93258024, 132775107, 241332716, 486718764, 97826810, 679256638, 60252410, 34913247, 271012271, 604494363, 413501780, 765728923, 807347228, 880185235, 400633824, 576884850, 588024071, 126732481, 905803388, 657008316, 831772526, 553588487, 141027840, 753485630, 337003553, 701538505, 184041357, 120339173, 801104215, 826588293, 180606045, 99195871, 955751793, 746927050, 1047617051, 644134955, 776359874, 271159119, 155656738, 521662089, 620083507, 1042824649, 544262050, 522137107, 312275534, 466323364, 84929726, 228123538, 827499077, 971569866, 490957458, 655331342, 552105665, 666274648, 1032209897, 658648893, 196837392, 772194137, 1065820401, 413973667, 649633647, 937737172, 348711350, 976432422, 325050831, 283771079, 394515873, 606598447, 375901537, 947343589, 255327434, 423466435, 689641965, 594891924, 416702804, 737994263, 1035140367, 533308905, 376256915, 23766711, 387392658, 736369202, 40098587, 265252246, 982562174, 340829650, 263562438, 11231667, 78431554, 636712932, 400875413, 278522668, 133682420, 82550961, 771839626, 302128417, 777540476, 604127653, 196755183, 548471586, 479550493, 445187030, 533187789, 125453900, 811605420, 572540007, 1071373707, 988414479, 485213031, 312911178, 272625746, 63668393, 638595524, 994941892, 437496535, 931122186, 29473338, 655533008, 354075575, 202183567, 799269473, 235369339, 111504698, 832771118, 204509927, 127526356, 35942223, 477925441, 757995268, 594991621, 375714001, 556924165, 347249702, 182589573, 959682617, 967984864, 927674236, 498520404, 877402757, 856005971, 702881652, 44289532, 58808608, 214203918, 288929320, 670809065, 617254115, 921425562, 597608803, 312883832, 258363118, 672880375, 601967096, 813149418, 91720084, 643423038, 789372823, 1071909043, 355951429, 956696721, 145481474, 1040949475, 162512282, 285890902, 750812031, 201802209, 508451287, 969228919, 179027350, 703490050, 963708191, 962044403, 433463819, 278471250, 158749175, 470027655, 353110374, 930725141, 314998827, 864777845, 292850035, 900269907, 636995525, 371934474, 17914022, 646837451, 217717216, 1070379872, 1020501242, 241190566, 799690788, 655782775, 753655750, 106117685, 562469496, 15976572, 315135939, 722735881, 731120912, 342443686, 866970799, 652935196, 42953542, 948242817, 474890209, 842349083, 1059554145, 557264861, 804505259, 40909166, 690580949, 599541246, 32822003, 424251423, 811410653, 341278106, 44552214, 642860047, 158648990, 498946238, 46347477, 196168128, 514726788, 146134511, 378860091, 48895987, 211754758, 11618403, 82601730, 569093741, 92913862, 814411869, 1058136001, 537254272, 415073104, 505721736, 1011031916, 267984237, 124718742, 210103064, 96269606, 544911875, 966881254, 316497378, 658587937, 1039907317, 595490023, 136359219, 920700028, 820464728, 834048791, 94125734, 582375946, 24946137, 1015772007, 1049285220, 952184251, 118074747, 588460304, 401235642, 489322069, 195121538, 801679429, 77786423, 844579595, 317176140, 483043139, 408902646, 573115050, 954218558, 825026410, 522370000, 678054768, 331300208, 1019631972, 177624897, 74827794, 1014431706, 898462822, 591837184, 175735603, 151297495, 926589403, 181946031, 765571334, 32561886, 265404282, 617308322, 768835571, 318718203, 281987630, 77743811, 328649386, 638679149, 376336031, 821704758, 789793609, 517612949, 674704036, 328003458, 212136841, 753535468, 948027218, 824095606, 242891034, 786898874, 794874250, 909238979, 658399553, 593434701, 339275692, 964904066, 59253416, 144963905, 477741429, 767146520, 38040089, 670843287, 211656946, 297746162, 981179497, 775643387, 699870120, 506522828, 672887831, 22852588, 277144518, 29094520, 1062563304, 832122849, 762168648, 1065951637, 843501283, 143874237, 395886932, 425910187, 1038369533, 17817677, 739379094, 711254452, 880552584, 374830747, 839740329, 314480248, 636984425, 412055817, 156016730, 699320229, 269171981, 913174710, 400910905, 1068692746, 252593829, 487070564, 560062139, 610206673, 297341902, 246806484, 659748971, 194320543, 920235897, 719441205, 899258234, 8045289, 131553318, 693214065, 903969843, 633338284, 330765521, 727824336, 727616883, 283933039, 328217796, 632015250, 895339542, 542591735, 1036060792, 1052656460, 290837414, 251442959, 424028952, 1011940893, 280429793, 652830280, 949772116, 359995092, 910266732, 594583617, 411404668, 239685175, 833017910, 146542616, 215742750, 428308176, 580878194, 39967612, 288158586, 987676599, 986540245, 474967227, 249693289, 626599813, 1054370795, 9297207, 865007457, 943390513, 1055195172, 519147435, 537881759, 697597417, 817452353, 724271155, 936613609, 199463581, 715250292, 945292580, 594164084, 747298509, 738299532, 620579626, 69755768, 1061728973, 316960781, 519605095, 151797268, 703074721, 5865550, 617863662, 70056780, 543227255, 1010965276, 621003862, 215998542, 999602508, 684948259, 58004716, 880170061, 383884852, 242503199, 26612360, 1001642162, 974513626, 330269801, 34045366, 108292280, 804551110, 362210581, 685850443, 848498916, 867900092, 331270533, 768832928, 780813347, 167524235, 75061408, 466130322, 920765015, 239889934, 104737595, 821169646, 1062222078, 267436394, 225255455, 530139411, 896525786, 310725808, 934305105, 80438039, 220891955, 681065488, 822931731, 978694525, 675544544, 892333011, 809720130, 1013656152, 366084448, 873718443, 870701427, 719051127, 882359156, 705217555, 153293399, 539751614, 750457406, 1016268917, 640392318, 768560072, 990095811, 628608468, 596470101, 789480911, 987997362, 455503511, 398504581, 114923652, 6288605, 735651946, 745636561, 635561215, 475826539, 419742401, 749714540, 188997333, 403605940, 388527803, 247422390, 624604612, 674540959, 937614761, 886899704, 240929707, 484943730, 465889987, 935908609, 29269701, 581897129, 397511149, 903440451, 646791278, 224562946, 62241235, 813057147, 40058128, 743688030, 54276785, 1016279839, 555544804, 150633916, 815648502, 432343872, 934043507, 161722197, 245758956, 185689580, 35844201, 841155927, 1013049266, 1030899914, 9764820, 333000292, 973605794, 672656446, 692082345, 779252714, 149743385, 299556229, 817713529, 627273268, 891287792, 349996558, 550808184, 1059971450, 949389265, 783652740, 1039250651, 740324906, 251281767, 804484798, 644189369, 84440913, 404638715, 54362482, 326217802, 166911407, 640280676, 224527769, 252115907, 872519294, 1024312296, 856750185, 746457506, 983058914, 714947850, 973816275, 4772115, 464099814, 316274290, 596749418, 1000888696, 31626887, 44532290, 514824525, 201056708, 1016589196, 533644276, 809691252, 629002401, 707847151, 876723543, 167721266, 492825517, 779656271, 150007639, 716160319, 475373087, 80113556, 986434533, 751508719, 123599725, 691269294, 1032340863, 236752488, 975412894, 605854110, 928280639, 479999540, 432654977, 748920130, 31117621, 857374493, 81011139, 324927012, 8642423, 1038525155, 717688824, 620666772, 542393931, 885944931, 134550773, 743817483, 876059998, 2408024, 396787996, 275511984, 1020816731, 261014661, 958044724, 772598716, 553590089, 809965897, 670660265, 609991899, 840678731, 276517678, 979451802, 1003127285, 925921765, 91714884, 855242713, 723941485, 954030406, 807803004, 323034842, 667229469, 686343599, 823491179, 970177000, 623777506, 262143920, 433767381, 96652232, 247015414, 584858928, 140197340, 652503543, 44198059, 738569035, 343866284, 409541425, 749942023, 925886102, 863037228, 96924259, 945814562, 454247034, 1049521474, 438822506, 396021634, 74417611, 210390172, 970621755, 1072660878, 811793464, 273023655, 676734290, 526287109, 543254078, 469249905, 912384200, 3446867, 1022212144, 226039037, 636557097, 380518734, 392287945, 420475414, 476698652, 165469284, 689930481, 760354096, 37073520, 231316491, 120306892, 951641233, 135090684, 584613471, 287710051, 519800887, 814186546, 228987084, 42385325, 717571203, 365768865, 340948552, 177496402, 532652727, 265197110, 527436772, 959523957, 511971991, 1011597910, 77095263, 724144331, 538619839, 190945967, 396438176, 55826380, 431291489, 344254731, 969978390, 235209408, 245754236, 886983894, 501290307, 183643457, 695939897, 608287264, 673141635, 626654663, 399654705, 622968391, 567665475, 176560813, 802128226, 655895332, 320880719, 839141206, 422315938, 217286926, 446559061, 808293350, 657868119, 377501572, 277713089, 549223431, 355840002, 603482753, 542190544, 783383059, 114307375, 206592175, 386767361, 537114398, 196193031, 560464709, 681097462, 467978279, 480504219, 543026557, 1011557936, 511791453, 674200434, 959797277, 872249004, 28606918, 844791354, 612037087, 126650447, 968308252, 822803602, 563323357, 966925896, 1023223971, 935994019, 718238548, 38807179, 139490776, 8756043, 288475801, 211308152, 93161581, 780205641, 751394770, 77255203, 425965459, 942695901, 597244150, 382043372, 858451215, 899783753, 944662137, 632431833, 1044012127, 504976831, 163278113, 154766761, 127616311, 775114692, 966479683, 484247480, 171358838, 873034021, 998842639, 487567546, 585001480, 14235468, 876175636, 1020893519, 350630917, 263828252, 696882693, 403562025, 687676262, 767263603, 430035444, 324022851, 932342852, 218585627, 1033496023, 861954677, 930872731, 680930038, 1051164226, 768504602, 882572767, 691138208, 1067226673, 50046193, 636182447, 354765565, 702431284, 265200120, 1014721247, 431320645, 719182896, 953667534, 547684926, 594209108, 657655362, 559732320, 783274709, 1060482160, 1056130055, 581567257, 773641276, 919511990, 891853543, 96834104, 453469218, 146388018, 49230675, 1058218953, 426632647, 340878268, 266423834, 371098371, 191605828, 118885525, 577076684, 122427254, 616989929, 236212428, 968437460, 892816519, 57416137, 566569244, 577375239, 341342856, 222122809, 490603758, 221478697, 396681858, 403462626, 84875857, 643691327, 431593060, 260943923, 359676198, 630205405, 602376792, 604846268, 187900483, 275784141, 129794627, 358514043, 395160178, 704521656, 601132435, 88445112, 785572898, 784001908, 349658085, 993462590, 1005760632, 745536638, 441115285, 27920054, 706489842, 521704661, 302090872, 1072483239, 995929576, 871580546, 1011758557, 606892025, 423728790, 843513957, 566218736, 662465582, 787245032, 452648118, 186360939, 777142103, 982623337, 462653588, 554320543, 578500207, 460749487, 822150044, 611017752, 119713062, 215647151, 545312884, 100991197, 801745376, 288465173, 1059653766, 949152743, 1034979350, 897198218, 744393424, 1048410095, 954106095, 570864812, 610196857, 449807878, 839843232, 913483911, 119900717, 803543638, 382471485, 693163889, 765439681, 231814019, 259030015, 292715668, 345324989, 847452202, 163553908, 382015949, 711163713, 917926342, 852650862, 192705727, 85737165, 530159939, 183086341, 150320607, 799488047, 485704371, 972297313, 822838381, 403345449, 98254919, 879979984, 227826142, 856945214, 652917748, 366455853, 504331371, 1008580253, 849867823, 1071834731, 772215622, 898109372, 515385516, 826255580, 613946516, 1040248799, 1052066207, 30316558, 735184403, 996178422, 311669368, 614969313, 88516929, 1065099262, 498710921, 761326028, 1053434479, 226797976, 394629479, 812899020, 743103301, 899632935, 713362255, 986872547, 396320236, 818340554, 805294098, 136007518, 67395233, 803085909, 844512877, 553953662, 1043846032, 68232404, 625707540, 929205136, 239590227, 150086628, 846979909, 917771467, 71689940, 244181314, 527624309, 531997708, 235437390, 330497823, 973413967, 933526662, 218599569, 444955904, 895123844, 1008078956, 718590107, 455893694, 581827901, 523143906, 870871139, 554261024, 498459546, 584989485, 642565511, 548852736, 1049869128, 633386024, 211457789, 549206490, 27289082, 511048802, 665607154, 863854985, 1036240815, 498509346, 450546778, 780718746, 939681330, 656095826, 378187977, 130836402, 241641407, 220737199, 1003855074, 568308737, 330195400, 461797135, 807660988, 162400209, 354847715, 667783644, 822301230, 1038972338, 108430841, 202282056, 789092013, 423468650, 969708884, 28972948, 770417408, 425975837, 164009928, 525282345, 273869833, 1055699509, 232209180, 668353675, 872713821, 1040684817, 778152541, 4508033, 511997163, 544654272, 695927659, 192205861, 707422655, 51623061, 447547494, 889935705, 804489580, 123880302, 57046338, 842581423, 531356230, 755283195, 765118054, 326779869, 245432432, 257434359, 426379279, 962052281, 1044622687, 759873160, 273562545, 106018423, 20182336, 1027620875, 283141253, 898493881, 858233326, 518931269, 512149988, 454946029, 929167780, 199273109, 156515168, 54533705, 845794134, 742708325, 505247211, 871622571, 503824389, 975139737, 724525273, 36570893, 464316842, 410330390, 1019567008, 98543597, 792265591, 767141428, 250177433, 800412530, 143610051, 80883066, 899595322, 579706934, 50302924, 77377922, 390512246, 1026151111, 862585103, 742997366, 786649325, 488551153, 106948651, 459846847, 499338488, 113215359, 887716554, 766526950, 246409209, 690602295, 221980084, 1038244799, 860827742, 551238520, 151863455, 442472399, 1049542473, 294567460, 167109218, 390086631, 534041811, 715028134, 903405300, 161448195, 290016035, 712741158, 568587226, 446472761, 369329466, 788187406, 157898794, 444688856, 948058280, 224914212, 271711863, 552688702, 608321929, 491163164, 858085562, 413544288, 149422721, 186456768, 891315728, 959152240, 600065245, 853114169, 131434044, 836241108, 365193487, 322865408, 249341966, 288878170, 652687844, 401924297, 739737785, 247062279, 584704109, 91208123, 505806404, 1062861384, 90826409, 727940199, 762579563, 451996698, 850320958, 765677950, 732830414, 346871016, 945273801, 5161293, 569087598, 867788665, 986910158, 337139458, 32008114, 246699189, 391759010, 673922606, 120950683, 977752706, 508167660, 62674478, 577554112, 634711459, 709074454, 988771452, 138984920, 561207269, 674972544, 422647229, 775544278, 241655543, 129386903, 437358597, 1009688270, 590687920, 952845531, 1036815719, 859919307, 833420378, 150112825, 708418473, 937266693, 236855380, 261136607, 540610444, 545133217, 61650620, 43735268, 251580654, 117295403, 321545612, 251090772, 156518041, 129246722, 710007757, 1018043552, 843690161, 478761463, 946693658, 1000941160, 597205733, 541541889, 996044628, 971662860, 767853002, 822175532, 592204425, 143554603, 732427549, 113041412, 645671698, 726164699, 640009341, 925571587, 659822440, 425573090, 504367549, 624099247, 513829914, 446983222, 640861864, 546632177, 924753692, 64320222, 133105353, 281422269, 933484803, 481271672, 501201950, 832976467, 513278619, 461855983, 1018226919, 565515144, 274623045, 335458751, 20571277, 600216815, 615829480, 786033986, 1041095831, 489027767, 870618884, 8757962, 828046324, 1062025952, 509505044, 460993243, 349611567, 894195340, 90034413, 385237273, 652556940, 368416873, 107880634, 291812685, 425303746, 256706460, 164014437, 844560080, 749439943, 803857296, 373383264, 55458392, 455394984, 668243431, 213517383, 270014022, 318536242, 187168690, 347218917, 77242857, 82100582, 330562322, 656719075, 655669577, 786301569, 38922433, 722232875, 703708308, 985662839, 303719635, 128617389, 583079982, 449404401, 724034995, 316946708, 694113990, 635503339, 990437995, 594111754, 960647578, 678838450, 665526325, 2032673, 93828896, 802112574, 308586626, 603082324, 831812720, 143480725, 550859949, 290227405, 203819682, 78977301, 930939169, 111177482, 917360571, 305272837, 423260931, 188432405, 104819744, 880306579, 885213947, 339857900, 192323750, 630970981, 344506156, 577060036, 65366460, 68097180, 825785004, 406200478, 204800957, 629320924, 685250710, 372696082, 1019264690, 999877239, 360257925, 53123119, 276459749, 940066599, 960689310, 718084065, 232624581, 890169974, 199033036, 944022176, 607272929, 505482536, 230516265, 209661411, 880439959, 174662270, 1073162072, 389681382, 402996260, 658891130, 183176699, 379065446, 1023824497, 690701500, 547855008, 705229242, 259847356, 713420621, 390368493, 1026583518, 936349031, 41926687, 694204584, 847346012, 991777791, 55145470, 642707357, 549652586, 1028514127, 1063149919, 252047030, 228298870, 291664111, 466563653, 667496273, 365911101, 538468039, 1064886019, 308048985, 494663479, 187740655, 740719832, 251126503, 991230979, 398057670, 917806593, 152161636, 998152024, 194790266, 861775522, 879070246, 625505003, 443520483, 552064517, 409154093, 115831779, 659941329, 834494734, 843810471, 812944511, 1028001347, 295905033, 640377515, 580042221, 47371578, 739803867, 336441261, 782244593, 6147248, 594407257, 471571543, 338220232, 101773833, 518136639, 926697698, 339001675, 728671766, 908155078, 816341933, 108405967, 885132280, 205570660, 517814036, 72698618, 717659802, 885412653, 1000490130, 200083160, 603340460, 472898467, 1016109796, 32379648, 610848916, 950911506, 463186054, 405230827, 497154844, 743048117, 502028179, 392752388, 670398938, 343574860, 764035603, 28311802, 425849349, 567295189, 167382873, 14610642, 960538131, 984204187, 894066371, 813744523, 915604836, 329299965, 727003723, 712577512, 1006389432, 959418533, 858531641, 624217683, 885890996, 49584645, 970684347, 46928400, 8240013, 496434950, 329107980, 588331992, 243785850, 1011793359, 939596743, 453031660, 628406639, 272980546, 380171893, 1025664254, 830618767, 32128106, 465161445, 920656879, 577289927, 117711902, 786918605, 814009350, 561583642, 653903406, 717770706, 306532041, 438172899, 102221227, 792699079, 684181241, 812083759, 1028403965, 87860055, 875055105, 829143953, 459080123, 56413293, 867087079, 818720873, 602279332, 1014762598, 824667700, 895626592, 819923448, 507838988, 547741796, 779766359, 365625747, 462838581, 687980083, 625555909, 901425168, 482108260, 296006911, 576325289, 1019428636, 795425350, 253628036, 182954145, 942545013, 215532621, 653362408, 468494011, 27266992, 943893814, 363361244, 289838117, 957213739, 556138355, 852203674, 795681062, 137975028, 1010889927, 136419927, 620787932, 226555434, 847017069, 668389087, 22553736, 311172627, 1069404386, 304668759, 13561203, 131327423, 481953614, 794806839, 950688247, 239584762, 967246339, 103890712, 92736085, 275179468, 33922641, 655045566, 199337287, 816837615, 744592509, 850938252, 588326617, 1027594666, 834458547, 475553302, 285772060, 347042160, 792997329, 766058259, 826558804, 849467305, 483538258, 471516889, 769551202, 133211048, 402569138, 1022848980, 105136211, 898369547, 448338563, 223602037, 751980511, 825812200, 983177593, 599211822, 226645833, 211474422, 14648649, 1057039908, 901456303, 73976144, 549558054, 212963575, 452542580, 980647229, 348356365, 335158199, 104765509, 868241459, 123969595, 338846648, 877903449, 347616102, 297923716, 425351450, 811017086, 136901803, 664786257, 379982069, 798959510, 307220420, 591966539, 64332457, 37451432, 441885293, 184343293, 172970903, 737588252, 61615004, 158129568, 92099115, 90820383, 737402398, 291098603, 72643781, 103081010, 178592547, 692485429, 305376996, 249326366, 1019459724, 459391176, 913560967, 1027642467, 616756054, 568227600, 936745275, 825013889, 829791926, 258421962, 777682732, 14845595, 185596231, 474936225, 388647345, 13354629, 407374147, 911155993, 30454375, 743239903, 908705890, 982039202, 1037139149, 815697489, 1038020196, 395883643, 854883218, 136431443, 415338771, 667266280, 427928714, 822219077, 686766011, 586949861, 841446182, 294587939, 920470709, 201101801, 959179774, 525469013, 992146202, 808903683, 512111330, 123410725, 271034654, 365869823, 119700725, 844860621, 842681506, 941307280, 531177455, 697811615, 578945247, 445668303, 706139913, 993723755, 175463821, 732269138, 866049774, 262930854, 532362874, 237811556, 566820571, 70389491, 169322419, 177806650, 286256010, 908823931, 128195867, 439223718, 467575222, 243660860, 25275613, 887380824, 949908528, 191283964, 810482243, 1048633195, 151866200, 290101266, 740948234, 1024994959, 206063905, 977999457, 883292221, 873491449, 778884305, 215679178, 117503670, 312792799, 964190115, 226703119, 396956035, 403438330, 462602314, 129852749, 957812420, 166527228, 460777704, 806244306, 347833776, 300913940, 67919860, 423288844, 87860863, 69118647, 687112654, 892336004, 318703258, 161273937, 382027688, 439912087, 425258983, 112526094, 1048152247, 52635782, 711254730, 513453156, 10270255, 861315830, 621163989, 134637236, 784503935, 208794944, 22638085, 165248883, 932302829, 899740626, 345036768, 772793174, 255415239, 992233233, 4826986, 682012972, 880354359, 58136934, 881370421, 1020046305, 893574144, 765553222, 176535736, 729988413, 63409907, 752402254, 679196866, 30256034, 448707452, 102311112, 221589700, 237345664, 523690230, 255305386, 223902542, 844095166, 493442051, 518277659, 153731060, 687693850, 498176186, 678756200, 8815543, 1031949219, 410337048, 434355916, 569459841, 53198125, 1016689510, 138017492, 862675070, 851390598, 980459354, 259150925, 94203581, 963396604, 17762248, 469709184, 322073908, 275466463, 971864984, 875554597, 59653994, 410215490, 308336619, 920936394, 766310827, 705015955, 203282764, 99707634, 590218369, 476925922, 608564848, 654186102, 734971011, 423710857, 355085487, 319710265, 721405777, 797193193, 296545414, 896353510, 797972010, 425074120, 606225025, 1013388579, 787117788, 919521839, 1045604031, 987599219, 121686210, 704140418, 599962181, 740274967, 152338615, 345601228, 509051268, 342799769, 756506757, 262891620, 82781730, 90798609, 861636918, 302108416, 410585209, 414272494, 1049503749, 898997316, 211616461, 406789296, 1072907118, 347274207, 86949538, 50241879, 530264446, 148308046, 271546438, 197076472, 768436613, 320408285, 754297647, 119972305, 458107348, 780117426, 894641432, 833230119, 1071879637, 735341413, 34561992, 596873321, 169813943, 757893088, 548922390, 349313706, 471818244, 284373359, 649394431, 753679671, 615307327, 269041165, 423124692, 978539627, 596591059, 943572962, 1059845301, 468586536, 849585847, 587176863, 755951938, 290461129, 561318193, 1062361854, 583570245, 57745636, 118583576, 487721294, 306954721, 858276070, 753253146, 671490943, 624320347, 138111073, 491451602, 359904009, 708826406, 654961302, 582267105, 126261706, 659775333, 328681306, 958737286, 169932643, 537839409, 149507375, 520745308, 94256493, 718364386, 320250923, 3977326, 761507000, 732844690, 307805165, 487950293, 992003877, 376149762, 287871295, 104900823, 362086866, 241872949, 5308699, 267694766, 307303861, 572579937, 593059946, 455279067, 640174786, 758122902, 942397136, 936651753, 907441602, 180737206, 380270538, 1023272802, 110467580, 392795110, 14958137, 739105278, 850177598, 340480658, 677518793, 513136691, 969726728, 768461281, 245141244, 687332579, 388655347, 401777688, 669776647, 451833159, 379399824, 1034951239, 785140586, 584095350, 697068285, 599119094, 1008561020, 595157300, 682419167, 205383272, 722007344, 179889331, 190614883, 629447359, 712582419, 353127837, 413759762, 722898324, 855228318, 1050559998, 482189213, 514000853, 218752135, 289160200, 817131873, 406447482, 823289907, 771046502, 140851205, 328346013, 66530421, 791255287, 495793978, 522805662, 653560878, 843156156, 27510954, 189740301, 64251198, 848083609, 675583452, 405685978, 894184292, 836205782, 563469154, 750957879, 29368760, 979437335, 883647952, 994458974, 214359301, 719299308, 890377213, 1058000573, 512496598, 55196756, 275336292, 970881705, 253828353, 352434285, 506709770, 296555267, 294183843, 747368521, 533127342, 963580761, 669623124, 322868536, 55276565, 988599718, 770750478, 1024899941, 487621070, 476162689, 60523309, 429241935, 255840531, 195483650, 1064741422, 207122054, 106722984, 933465799, 335986570, 256643350, 972143892, 55893865, 720142166, 649002472, 385537437, 230716501, 1060354331, 276664924, 1001562839, 79706065, 649268262, 19788913, 750142279, 535503267, 340036878, 186152285, 523540908, 205317899, 1065794160, 348662723, 316154634, 556145020, 834499726, 638488301, 466898651, 39890849, 434589463, 678517291, 368328762, 881950617, 574844341, 419512106, 141347939, 978310524, 808622018, 336213117, 1051291377, 608491224, 771622811, 750295883, 220727747, 215367824, 454619999, 323748258, 661366177, 116798970, 758559243, 523206706, 381604160, 265520798, 668174764, 614597143, 227073165, 501694624, 611598226, 132676126, 691687259, 556305279, 1049306615, 481815741, 540727344, 641983057, 818338929, 913457498, 966181418, 322128007, 414507894, 313673831, 557635692, 839863407, 1006389148, 310881840, 800649335, 81721414, 230697679, 242898442, 329045645, 179034803, 591636235, 236406300, 279935374, 136437054, 222709092, 404751378, 344395733, 345650055, 392690612, 36991683, 803167441, 253320761, 960748531, 327825611, 305752279, 1048691770, 617509984, 1065766993, 465456934, 654536031, 902921849, 30485196, 1039381721, 823816090, 671020109, 584804089, 88269478, 173489636, 484304633, 121159741, 37385090, 266771967, 74149510, 599334159, 247728864, 986071611, 551565197, 589630526, 774377254, 425246950, 783675816, 663272136, 592276638, 646079171, 1012391601, 399220658, 403402630, 598951697, 408838299, 109114436, 944882043, 460567136, 701427790, 428954421, 762814668, 767058225, 126658748, 70172942, 346531260, 444339875, 619852642, 251319250, 776252444, 303716477, 269875283, 684512433, 535284164, 786457786, 390960739, 25810272, 1023028458, 317489675, 53859558, 248777967, 157347999, 414047011, 246035576, 656060488, 514990516, 492366387, 564341906, 66007348, 1035759049, 499696373, 824151028, 183254635, 910956203, 639379734, 610611802, 252916328, 508893202, 738931527, 676900908, 418208324, 220095587, 213412009, 1044286920, 898276931, 43565609, 87299010, 200647255, 429610211, 61889529, 770979216, 374481349, 960191283, 726111039, 584643164, 143782984, 53793349, 856748002, 390262308, 505003346, 175129514, 219195766, 525674402, 964909829, 144237691, 517593865, 56570974, 320199171, 872224832, 343155060, 147099654, 254657468, 929436137, 1057528302, 962745343, 728525889, 20074559, 961321862, 584440303, 560128848, 779365425, 934333891, 508632674, 982307439, 744510929, 804527187, 130558309, 331907117, 297224545, 826710053, 718059829, 212727610, 119319904, 216242214, 6947972, 493286706, 67462998, 954162737, 744348136, 57531078, 943350168, 1026731746, 897069607, 74556420, 4290713, 668590515, 1026319789, 838919446, 223625331, 579808345, 924920273, 555462588, 918017538, 1060039492, 599494077, 76967383, 756626078, 181827082, 486644206, 785935987, 809856334, 23010526, 465398870, 1017922096, 208730448, 130639207, 692502773, 591955754, 444203784, 861287487, 779442589, 790933653, 965033405, 376840652, 801054055, 94215069, 363727009, 753626520, 386579862, 47135813, 723809506, 230484871, 201543214, 709657962, 244944607, 72081091, 19417573, 857883930, 180419298, 822548772, 728464868, 23799186, 1035651826, 715144449, 851024682, 762838084, 854952422, 638555030, 645576445, 154770300, 378713809, 64252312, 347465098, 779750912, 45028500, 623119264, 343094146, 258068289, 179770800, 726940322, 275603890, 481722948, 12188076, 441573200, 305641066, 194793739, 290192647, 16364682, 653209982, 288416231, 232193623, 539768770, 876298303, 800572183, 105426411, 816661563, 599023548, 379806043, 177943995, 192953468, 999423877, 373485076, 646292894, 246728578, 447202156, 871177926, 571051217, 276423424, 114773949, 469919393, 821761869, 953967896, 124586559, 417242061, 483275451, 613760326, 529277565, 992084117, 878781422, 226188392, 663629024, 550046441, 54943047, 483403686, 706541972, 942858254, 944264436, 181908788, 279628521, 466306785, 327017810, 81489781, 405434408, 43005999, 823747070, 580967237, 974047493, 296102218, 942720748, 535928311, 912114398, 961829311, 594695770, 435123605, 857559086, 913845654, 466758865, 140568991, 626059535, 270066336, 197452744, 776813621, 1019556054, 145531642, 641850930, 331430504, 142029648, 782779151, 892085570, 16668461, 71612965, 787287353, 257621623, 245694393, 229200809, 835811388, 5773568, 858485577, 499838274, 598760786, 397354172, 324616047, 520678447, 743731390, 614106151, 441230878, 627521840, 33631094, 33624426, 60684536, 636359249, 226790944, 276089965, 152270828, 418280540, 909808056, 986658850, 263614695, 655686342, 954047247, 259313837, 968190971, 86948939, 1044144995, 815509020, 756867395, 204766473, 25581814, 211524104, 324766792, 623172656, 361302397, 476190420, 476887889, 121217340, 222762115, 458774648, 401743169, 527860093, 144570497, 88835298, 408738166, 171395453, 563553167, 189446807, 476609035, 374905476, 68941800, 275190240, 152071672, 735728702, 393064213, 565416887, 39795687, 164208494, 922342943, 564122173, 19872276, 606726017, 465379023, 238661771, 252959397, 105597902, 305971476, 751824833, 340310854, 286175236, 403907513, 69058535, 293917628, 634919155, 225503620, 538500383, 1031343100, 1061182922, 898017865, 429242545, 780693681, 438704576, 376665052, 531753916, 366284893, 776624609, 487357301, 404208473, 699481544, 937597144, 77650427, 596380243, 958130675, 880234566, 382655005, 833038827, 989575590, 18119240, 426299496, 44604967, 819161025, 286422517, 338625129, 771642433, 860463564, 397937349, 318936291, 953972089, 1038050863, 846692933, 652572665, 382394799, 795815263, 272307874, 882546824, 458696268, 25058370, 611849577, 19608047, 807843056, 780171254, 580722785, 706932007, 1000741452, 642579716, 278598676, 1018241638, 1070983583, 571153624, 971989755, 371083242, 156813001, 397582275, 89688863, 156385201, 251414817, 1062424331, 540962915, 199700001, 997849326, 43295605, 332446755, 814040426, 303313018, 858504172, 734317915, 20914902, 269732390, 755841037, 567978540, 148666719, 820908887, 142110279, 322584715, 1028422912, 780765011, 849245330, 643830901, 58839589, 957648893, 912515354, 615030261, 842250949, 1059445737, 150114799, 199536733, 481364080, 465076946, 994740460, 994676141, 128970664, 1002321184, 832683216, 252884637, 714594862, 720946779, 216691449, 943736770, 183655603, 724495009, 768787307, 491489839, 932618730, 759224641, 339965285, 1030249383, 1004945653, 353641715, 156950192, 915925157, 1014300494, 637651964, 544341207, 228968843, 292251992, 991278365, 624048544, 632876200, 1055091238, 818375163, 754755728, 695434080, 709881875, 1002584017, 1027817726, 112752314, 95085172, 556201172, 456819952, 596541249, 727912044, 617218625, 649719449, 630528649, 974373621, 820748089, 706712310, 532111234, 326914779, 348446572, 988004086, 623115271, 785154623, 145536409, 130291161, 706166447, 752118111, 1029556016, 999332994, 509290786, 461090316, 665406808, 310075552, 497674579, 280850411, 755394383, 69364433, 949688308, 714332276, 7293493, 330302738, 30305245, 307408033, 843771995, 883011743, 824946027, 526317865, 426911558, 804696676, 439323217, 962292438, 686485255, 287457667, 104553915, 302560013, 368285593, 394042887, 881027697, 259969630, 373079566, 164512349, 354170734, 573870935, 605850663, 704457057, 976343587, 199411177, 726783852, 693074819, 463331443, 674594835, 1028767367, 462134670, 819259527, 600289959, 708419150, 59239795, 693471739, 907674165, 306163355, 162329994, 721725670, 548276588, 301557747, 574074487, 970808706, 456795924, 73823315, 495316311, 881592158, 954316385, 832809024, 22675865, 367781212, 877760052, 1068003665, 834908625, 692887191, 358903232, 1069255793, 383117851, 715946104, 1055400709, 167364618, 609430938, 303684691, 255118376, 23070290, 284968063, 361029137, 558641794, 980446582, 835702103, 236069898, 545225848, 352773020, 376335222, 145339076, 229220534, 304475098, 884036881, 1011661051, 15088216, 115276570, 671780389, 881102691, 795748573, 248749015, 622381439, 490243078, 713117878, 733474961, 1054355317, 597879438, 76156896, 117591301, 92190008, 674221525, 180064310, 801572550, 428589507, 288744366, 70158512, 350651021, 761093079, 186795041, 259253494, 140759621, 760626338, 993198026, 535336785, 693543603, 208647068, 761667518, 828391115, 415873655, 221944407, 251734977, 181231728, 532892116, 938589683, 461202965, 946211584, 780607636, 9555632, 328013338, 1058748176, 910524225, 415008693, 909633288, 537991463, 1013352895, 196740046, 851319673, 535098054, 898243409, 214687263, 235282036, 1008586301, 500684478, 474117475, 512496447, 666858508, 135540296, 113532520, 989106451, 891224653, 351025755, 196803540, 442603740, 397984592, 328134874, 10488512, 83148895, 930003787, 752105107, 861154883, 501050773, 1056397038, 453901922, 962715661, 909222498, 989169286, 493343902, 143491035, 356520224, 1068352839, 587534239, 280466007, 1020454583, 931392174, 32101875, 28343609, 458899934, 672139987, 309509031, 228718008, 123579023, 379977860, 493026112, 788060598, 77502834, 496204503, 278666347, 977888420, 994412829, 820413944, 888339727, 564531214, 679182461, 1029518780, 1053774775, 546489374, 479783426, 584964723, 318207585, 29473868, 127623284, 553734582, 816585904, 982582186, 826375471, 978073121, 806844566, 773080669, 836568434, 520456653, 575959061, 867527614, 700328356, 556276960, 99065760, 1019495791, 7036339, 507676540, 214049457, 912110710, 35720008, 1046137620, 673540214, 1058553963, 968654109, 840188236, 948151828, 662555035, 587607632, 1048404244, 154346470, 812823281, 683261996, 44420883, 398866490, 758642822, 748965585, 163029300, 271698416, 213045592, 137519880, 30993552, 145941510, 861542387, 411913296, 568324896, 273320245, 158284869, 252681241, 848317254, 1071789728, 211812257, 183081814, 729464911, 29405434, 843251481, 47554645, 254794066, 391258455, 956708488, 1041698229, 281839664, 261707665, 857411813, 332728397, 1050632195, 297699536, 352300427, 190716784, 1046648200, 740073344, 906396695, 60488121, 7922113, 501987715, 665817560, 1016161524, 131781124, 280904744, 629665221, 296331047, 285419898, 313561169, 1049236029, 893962262, 978570813, 572581606, 519470137, 851141562, 426324933, 253765176, 901560248, 546311115, 481994504, 96065497, 66702277, 801845585, 218136598, 139738906, 1018769684, 91059886, 349903399, 79999114, 83106473, 215977738, 907443564, 661379187, 364095354, 348707752, 737376567, 1060440414, 587521609, 6270401, 607084761, 273224477, 113305046, 687517995, 514764798, 691806626, 256122212, 81839302, 635013258, 1065023628, 643211535, 793976714, 1020935728, 645922473, 272026709, 530173194, 730303328, 362002401, 42602883, 539073895, 481526322, 36696435, 512808127, 724068637, 958354134, 974644247, 797153726, 441383944, 755038660, 969347661, 787040257, 776207977, 373171249, 830743687, 909873548, 738541368, 957187762, 785256781, 994993388, 120076127, 46998634, 556037928, 542622626, 662872778, 399714167, 201625746, 149431889, 346190055, 413129642, 334521, 266852880, 912855611, 363332891, 738334281, 1018962474, 967790097, 843665354, 220106131, 144682777, 885726165, 962119863, 228370437, 640887224, 550749111, 908954796, 872610672, 371087407, 712725644, 721873609, 996478296, 548476330, 1057395449, 288904274, 856321605, 1003873226, 85665379, 403689380, 551937789, 906485038, 84373352, 937961076, 876237904, 655824722, 617230900, 641201224, 853931727, 142781760, 350463705, 1011769507, 660088474, 852387600, 864245985, 227253222, 96436481, 796807839, 750075048, 214279589, 665373846, 443704594, 8343699, 750161409, 235750589, 599228445, 966185746, 31300890, 46349046, 645093444, 559050010, 796608096, 488943140, 398190855, 469542510, 18353312, 682951798, 760767925, 695150700, 980933598, 870329089, 681081959, 354281641, 200013532, 300739504, 641262166, 12807600, 741017120, 555644907, 268180089, 888630855, 494061340, 280425781, 296560127, 146685685, 962982271, 627610728, 419110836, 862715680, 439552604, 1002507695, 365318430, 581064756, 916489311, 473547842, 707814138, 876158658, 324958343, 697854530, 242430153, 914054183, 939454269, 423666409, 1013996555, 148089561, 214807138, 33893834, 287414489, 786840526, 120911547, 346432011, 785706248, 433104352, 1068665772, 652875171, 224503195, 50254073, 228131234, 1015808025, 984053082, 409287575, 848167988, 861183277, 285348743, 728432876, 499482970, 910426065, 573209646, 411739298, 444642065, 42909658, 614667357, 479316601, 283997356, 318801391, 498258542, 725540840, 1072748889, 285901905, 129856799, 755629370, 108613841, 485368594, 490341920, 735608526, 508739672, 333370271, 255236193, 390135045, 883544878, 974056711, 509230847, 400002937, 1004741679, 171628891, 202569508, 832644484, 313399930, 486929461, 544865033, 127834970, 259954154, 1059553428, 814007346, 645595454, 494683124, 987679770, 581197360, 889296410, 593684290, 840544260, 571098908, 306165654, 169748881, 391963210, 763351555, 510001152, 922415651, 889786288, 625903180, 952248334, 30407660, 189367137, 490075315, 720410931, 502020495, 561739389, 551358973, 543819984, 952187358, 752858694, 334399043, 616521972, 213864334, 659953355, 213608302, 18437408, 143730374, 505894248, 384318244, 949730425, 556005620, 787934214, 416700011, 333977057, 511609831, 443676140, 120662836, 856894577, 960703677, 465363184, 492378324, 719689506, 168727828, 192157663, 889598216, 864064053, 357094017, 659937726, 914521412, 789937539, 963552182, 360075944, 589925371, 650657965, 996689663, 270505199, 447014696, 906911806, 1011390925, 847811152, 783173979, 675360738, 117917089, 768998178, 307602734, 1054240662, 293382486, 252875220, 810741907, 468253675, 223427234, 943696292, 961968275, 333431058, 118090482, 1055134303, 194404140, 308967013, 933880037, 464564527, 291850410, 169391017, 882869301, 737060160, 126911085, 6125051, 672178802, 574147077, 993482167, 740169061, 474441987, 260149880, 60410291, 370702947, 109901977, 884886982, 496925722, 251048109, 284180390, 374110179, 344612401, 619939668, 238602602, 1064359370, 422947153, 148075781, 270017995, 602621876, 834842594, 328723378, 103897111, 436343884, 853459595, 383256071, 99418551, 539042512, 615685484, 1022101266, 741390101, 530192222, 209567894, 227823314, 62684441, 976622160, 174402073, 707390183, 346280695, 808925440, 893228454, 253620289, 191906831, 429134598, 761815175, 989523554, 379205060, 221339842, 756205768, 605166180, 417841693, 416275889, 261070236, 941901384, 493009341, 612363994, 165511806, 966747885, 110946941, 606980225, 958756834, 924515862, 92178880, 66841563, 602597575, 115454197, 423443075, 655053097, 891580154, 93713508, 161382196, 386902053, 675492675, 4553018, 532690598, 385978091, 829894191, 413854551, 376914944, 197855687, 830503714, 237505819, 832686449, 853332718, 992765319, 628804750, 835589685, 841586947, 647601723, 728629359, 140519587, 569027687, 825879303, 313110100, 66776332, 691945010, 800739566, 218851151, 325403612, 28485096, 863942222, 930971929, 378551253, 453945121, 164375907, 891954251, 1032819343, 535810830, 112411836, 220039712, 201651980, 781799102, 377159875, 820474199, 961217119, 389232621, 57546090, 402733946, 275790844, 177943574, 440318831, 565221749, 1040155222, 755706921, 153810358, 82363940, 914305263, 604794794, 725320291, 923958970, 436285206, 561612386, 7126533, 396714329, 360072653, 113171406, 564656080, 1041188905, 725725184, 23961974, 375810966, 413545262, 480935721, 568439661, 706605521, 36611922, 230696109, 736375341, 117464616, 832936922, 834142421, 376100079, 1035824474, 1007734156, 851985572, 488652888, 988487146, 842103885, 790635983, 1019381065, 987544912, 990976477, 326636753, 399338984, 1063985405, 237169316, 755281187, 304127290, 430007862, 278966724, 432582598, 467680818, 137375378, 653431665, 834304708, 230244356, 28964455, 739087200, 559496944, 266406285, 84045465, 1002117564, 809918309, 437956002, 236730425, 591605307, 76759656, 129867817, 982924640, 868260527, 579140216, 431818871, 113652032, 371517979, 552695731, 720059913, 125200729, 967164648, 938339615, 37021914, 1001884750, 695562304, 416764246, 790769322, 1052120462, 448097568, 828070935, 65382746, 536028268, 323785304, 683470137, 383309701, 877253369, 570002316, 6790250, 726038569, 677803048, 903036068, 773779489, 313683728, 471512452, 422880615, 691907, 708427831, 327134232, 965570695, 686693671, 1054421540, 194669314, 361357558, 1065147245, 435421738, 238795126, 540213538, 17051051, 343011862, 953451355, 505159751, 561420102, 319966496, 930786562, 146479594, 299331034, 760168059, 317821011, 878499134, 973478129, 650860965, 830063396, 966710997, 550460370, 855752113, 427549887, 265290442, 112620706, 36767428, 374850495, 779788400, 494259562, 841185881, 743764698, 747674, 832022074, 936886842, 120548788, 837541636, 635174165, 57655769, 552672502, 570826418, 180148435, 494842216, 536013719, 838392264, 427197594, 191483401, 380232238, 279554346, 1042830446, 1015337701, 1024604636, 861893888, 705081429, 344171550, 1038171355, 458573562, 510035271, 1013956847, 834090959, 187747187, 718639321, 286036637, 256994752, 118594143, 602903779, 161171939, 311074753, 709168187, 863961593, 161194533, 242467248, 482414042, 630891830, 908615423, 596796111, 972276721, 1047128018, 363363272, 375948657, 1009152239, 595743598, 787338257, 790690056, 318913892, 1034529343, 212730556, 636768533, 398608779, 405634417, 968205734, 355277814, 984284665, 763886721, 166888405, 809200625, 516927454, 353390921, 180721270, 340498309, 109721269, 244945693, 716006865, 866586982, 344459283, 945047639, 654063631, 147371823, 957146445, 431318737, 391988638, 153556252, 617594024, 148813090, 107256398, 1071995417, 442802295, 611495254, 463302981, 52943170, 976720150, 80139266, 390422211, 1036374840, 504576525, 1062172694, 857203042, 445919798, 667564968, 732125669, 279443117, 493340681, 747575992, 1031520237, 251770250, 571064455, 605190797, 552691274, 659647106, 34251841, 634776538, 719462802, 45037721, 497371202, 58428984, 453953704, 693533248, 722638760, 932085123, 920119383, 663998955, 948761658, 375077790, 579486062, 493816435, 934878095, 797611639, 231390247, 473981652, 900144844, 763623648, 686171186, 35279576, 561146452, 508935793, 1014827316, 152267979, 917900038, 72542267, 801608457, 548037089, 813177494, 182191596, 311564891, 740289342, 452639448, 449511523, 310594320, 147904239, 284105152, 197452358, 436163895, 5861195, 39136217, 787853536, 526466313, 993780547, 100816064, 160123496, 1024110156, 274427622, 583448548, 493949986, 317840188, 141563332, 596599144, 335720152, 582333711, 655673494, 870932444, 853541963, 369169715, 229077452, 1020736543, 377177759, 563567303, 41887494, 150961450, 1069056544, 150246246, 392499771, 930974985, 1023619836, 815589391, 911188917, 145777395, 30518272, 711032531, 194892684, 516607891, 418267738, 415218691, 1052745810, 1021833507, 961937850, 505704587, 880005253, 380785253, 700878967, 791024902, 40845241, 363435109, 196714513, 1053656169, 856891806, 969986048, 765033148, 810740077, 298918121, 870782573, 810041628, 934664563, 125992237, 817237489, 1031832095, 292812487, 617856900, 251614149, 686965590, 573932482, 591812047, 664287602, 505411430, 71854191, 309541154, 915547031, 158696854, 452117787, 263731953, 753998009, 558183626, 259299421, 134911818, 504336056, 144185914, 853837926, 476331679, 1040643653, 72703126, 578114180, 56802108, 313302921, 114032172, 614709305, 42509000, 72214984, 574496143, 158827095, 356241158, 881074800, 984449520, 473104902, 491822800, 556578312, 451883836, 316918365, 19679541, 431320945, 26487862, 299128915, 488105485, 206988525, 435571553, 345281914, 347704153, 690594106, 865672781, 638300764, 627947187, 221153665, 347934452, 516947778, 19764178, 742105835, 508353622, 422243482, 1016390430, 94852554, 653567824, 588442848, 252176260, 732480598, 413212621, 675648972, 877967009, 1046294239, 463903240, 307759998, 1001944699, 662279206, 369479113, 731737077, 1039632164, 472310690, 204172085, 474014252, 757212647, 531222917, 643598721, 985425978, 835767530, 831613698, 852450897, 1052572347, 29177276, 333372541, 241944902, 243243390, 753996870, 417518753, 143561837, 1011574315, 515636596, 607882841, 643596466, 762134855, 837542669, 702290639, 426904592, 475554399, 702497102, 119752776, 285918032, 676359856, 211281789, 144317317, 466799496, 802563277, 316198051, 402252423, 307727082, 774535206, 46167086, 992807953, 1001100888, 28181670, 430935369, 860494710, 408552033, 133481094, 520446421, 38212941, 575723907, 248465375, 826150878, 505568357, 780780154, 485110410, 104074407, 514579726, 14183951, 443561798, 313651091, 958769160, 32392685, 110291223, 180108722, 205618263, 148202671, 798689288, 398326295, 411975584, 630020800, 207635003, 798251872, 1053099766, 100438897, 869876646, 541504355, 1017875458, 592440064, 194695462, 672849197, 1000222622, 924702856, 301586890, 664995055, 277964872, 538061704, 330228135, 1052554699, 722825111, 905281906, 141400273, 697712617, 1044757701, 974766676, 74862836, 655522352, 840484654, 746649145, 833356820, 989719986, 531772332, 218821060, 378037017, 315131344, 336700192, 234642015, 829048002, 188481328, 96249870, 78422970, 108141713, 977012166, 654591108, 193223113, 767137022, 642669778, 588214208, 43284821, 291160711, 500237252, 385549069, 883861578, 184553893, 119163488, 228300444, 634470684, 985969547, 161576649, 945567045, 612396570, 155711511, 232232367, 872184576, 795595488, 58528084, 727855198, 1013772266, 837854111, 339153604, 1017562027, 831013244, 821390030, 234133498, 1028771926, 22232492, 910031396, 414759189, 44485814, 210331741, 85010863, 488890313, 891837712, 456493982, 1011749625, 103075970, 523789463, 788961907, 184249930, 42332175, 546823475, 232646138, 907462578, 508972083, 163049364, 581437641, 308440486, 146083369, 609664198, 911343495, 891796294, 676846107, 563386134, 401801040, 67121770, 923176721, 922112939, 125421051, 35997731, 866217367, 710421383, 127259811, 520883527, 902760406, 700582518, 26054488, 212285362, 356866010, 930766348, 1008325273, 405003719, 918729022, 1040836300, 270099895, 197837607, 951515360, 316238598, 767768405, 991816931, 926740187, 486071164, 991255000, 354198137, 968730493, 254303493, 705838818, 257177277, 1018659992, 443999620, 110586053, 56791221, 342969924, 1004600650, 1003377714, 869812536, 58839209, 715220223, 492135046, 888385926, 1042376284, 243829969, 314029285, 994807186, 536029455, 258156700, 546623363, 214785579, 1027167626, 664623154, 138649618, 631799371, 380741191, 317888684, 21127547, 434866310, 662964845, 1070887623, 346746528, 875643210, 45714182, 253104286, 631325487, 84655248, 937272133, 732162501, 397163074, 468447255, 663237889, 307528162, 105971017, 694242010, 1066148655, 907294719, 449753220, 652643582, 454881915, 910353655, 340492980, 307913397, 537891816, 558510592, 770525160, 835497279, 1001753606, 518736973, 759664000, 273848005, 796447562, 769857023, 904076603, 5511039, 890664047, 395442410, 505314946, 173299311, 986540393, 966572439, 67833244, 389669820, 1065908877, 86586992, 954033922, 238311965, 639506217, 454042177, 424915343, 868304076, 14748518, 414496671, 870678012, 30199620, 290967328, 828250669, 352305372, 39176320, 581303722, 397023575, 926797771, 194763370, 818239393, 958292257, 905659430, 562714659, 273036716, 359775123, 846361482, 1014171633, 814007326, 899478639, 934832684, 1008479784, 810882505, 219325093, 405987300, 997273149, 637730996, 283950645, 662961478, 894853884, 69624945, 910357241, 1059588571, 1063820224, 71118592, 311283737, 695899873, 162473837, 335770829, 53484429, 197702375, 809122937, 479862356, 862444832, 589592617, 437671472, 386159991, 449224177, 390112915, 335120360, 303850879, 145135969, 238545396, 787769930, 788486867, 142775013, 284824215, 87130957, 986090402, 352114879, 635464344, 292838542, 135637521, 140859769, 608193523, 705543601, 1050856339, 743753698, 280037571, 828600841, 879714632, 922628308, 238531838, 493654699, 163455528, 724174811, 967760074, 89324275, 175114417, 709449939, 816092515, 164696945, 271779582, 1067353587, 467897194, 505127674, 436438394, 401340405, 128331018, 905301404, 410328281, 408586533, 775312843, 920523800, 698668190, 101328696, 1040643198, 869180347, 487276282, 980190805, 300529491, 248878557, 352702360, 547115426, 315732268, 781702772, 472911864, 896369980, 734441374, 943624272, 337219023, 222926468, 696399921, 18405170, 752559013, 530777889, 728313397, 59608679, 573555416, 238647461, 249912459, 983919478, 54813215, 872446914, 202591932, 1057389316, 876704908, 875404029, 251628766, 703953349, 427586943, 488009645, 719564545, 338332461, 602525173, 631936295, 434051925, 1015109556, 309185085, 959721173, 816766299, 433383450, 919862231, 979542042, 938147559, 771614265, 1004755433, 411995862, 1070564204, 1007822708, 920071377, 220319063, 831581382, 762342716, 103798583, 972089796, 1065870968, 541513505, 562899079, 882162761, 482757399, 887228540, 485359491, 614208960, 192685632, 12437200, 151066111, 815310191, 201936453, 52243368, 1011711601, 5931681, 31637884, 405931913, 875046080, 1058582307, 605331994, 485169969, 187699048, 566687902, 1005535774, 482333258, 283169798, 394739180, 285596742, 198413924, 547169735, 710789821, 697207775, 772193502, 753335412, 572392132, 165348259, 70615120, 513795675, 448710622, 350174722, 1038886302, 332095472, 734162614, 148545826, 157168990, 284550925, 661688468, 398039649, 797533079, 797403809, 902718683, 875168399, 653154301, 333552929, 140918512, 191053317, 662210337, 572749647, 211803681, 906751319, 685642352, 241740880, 823909543, 391595343, 72755285, 496201511, 53775947, 473326334, 478893740, 979388472, 495509079, 279437700, 13570991, 164651322, 22628912, 426126109, 615526754, 227084617, 630874610, 177704847, 255139735, 551029056, 2070340, 747531010, 1043311352, 201772116, 906199579, 100775679, 529944671, 93654990, 227672859, 133091935, 721198523, 25826850, 263224614, 833507060, 891985843, 730083228, 369111752, 570488310, 1071026688, 1002655281, 314154991, 360518024, 197125754, 765001294, 5066627, 619780297, 27206727, 254418521, 714010449, 371235097, 579895222, 636785370, 760607698, 817786251, 700194871, 33064491, 9034527, 907505358, 527657837, 855230685, 928670564, 480194430, 147036069, 894718400, 832184205, 283918095, 884790911, 38422578, 259134075, 827341648, 2678042, 372978187, 983670824, 129997425, 112153340, 340843021, 66414294, 798003709, 380165522, 331036984, 368014578, 158269107, 674349752, 37016992, 413155953, 611229019, 973036432, 748915769, 38176891, 912229205, 857212333, 750993950, 463042053, 184361282, 354379256, 660992849, 73436491, 260293281, 1034842971, 953773706, 11504782, 255695744, 403359573, 209967123, 754191232, 148030426, 546478598, 420146481, 764464181, 526752821, 855389325, 822444011, 369937989, 474129128, 451101391, 542821102, 432045303, 182001496, 330982737, 707022246, 125344579, 778419273, 423137793, 32692686, 220752882, 546699025, 549575629, 378256547, 512051291, 154921749, 547833487, 305444026, 530533074, 652549867, 793013930, 985842266, 330316958, 239319608, 487046221, 450410020, 377807659, 840531230, 341567906, 1028771966, 211109280, 257322536, 194914074, 845003423, 628885408, 1057601823, 418660878, 52515698, 729052032, 441309691, 888510351, 861200879, 850726449, 961969069, 535827368, 1051241999, 895557894, 316774881, 558987586, 1016821979, 709838066, 185144947, 659120384, 929306480, 589038774, 813087963, 414485260, 1069745496, 659358598, 73181648, 221465903, 1047322510, 254137676, 398550114, 920582498, 514866669, 820703560, 976622309, 1026993902, 644940946, 1015520347, 533945111, 1001251166, 198604965, 230376329, 363143171, 385826567, 557163733, 374850568, 81617364, 911683215, 476558471, 283585739, 55276638, 551151507, 190036996, 705536843, 220032146, 546607335, 935237824, 253327756, 565758216, 352856016, 419282560, 702810460, 145072051, 486192389, 776187010, 337216933, 457854590, 871752598, 843161423, 710270757, 760326651, 275238153, 982860277, 287617194, 1066310078, 551643901, 149546434, 982651065, 150257255, 153994941, 152147579, 625639182, 47701002, 650661957, 1043729121, 815755779, 1026019837, 758779767, 799214987, 361533518, 26003929, 318453545, 197824767, 544754155, 212991295, 805914076, 198832024, 789370325, 31502616, 436265388, 62238982, 437792789, 124558100, 1063173912, 26707209, 714642632, 49119016, 416438346, 572776629, 599040592, 1042371623, 13658076, 623345831, 373448425, 981977905, 806926097, 712051627, 59924935, 769206923, 303118232, 346283649, 118292910, 524635694, 331587593, 49089692, 885405915, 238533577, 599243578, 511184919, 890708408, 627294774, 120437860, 210002899, 1015346396, 1035822377, 781622358, 218876111, 916238144, 751933336, 282564000, 72402761, 899391883, 940529489, 199958909, 35173144, 395322798, 276478352, 1223389, 41306303, 1008097684, 63703188, 859158150, 609906436, 715987925, 359654981, 219699678, 399833033, 558494470, 583322121, 851125596, 371145692, 154695210, 1011379086, 520001232, 920857780, 928739334, 543692493, 1044018153, 134947637, 948298290, 878896009, 267788464, 906055591, 762603512, 253221262, 986133054, 835622468, 366438043, 776694340, 24062322, 406992796, 309234930, 699528355, 74339927, 103568681, 335200563, 482681620, 942042148, 735174080, 215229300, 590428073, 754940664, 466520929, 173577994, 219405644, 462892796, 840294251, 894827640, 421608954, 565462344, 399868105, 243031533, 1062369551, 37399906, 769095191, 582262667, 993734093, 222486796, 750769530, 529350538, 505772854, 832930952, 991893491, 1061008825, 375565658, 197434438, 125150565, 303159296, 829409071, 1071183717, 854363193, 589641293, 96224487, 933757120, 800106783, 110856163, 100179961, 762932363, 878447968, 797893529, 156731276, 55527757, 45273696, 1036569663, 814058163, 852492407, 1009346890, 869847664, 212637642, 1033186231, 358439830, 310097742, 780125629, 163603047, 429202832, 849476, 171513808, 350862339, 435671249, 937523732, 612670733, 654215872, 772543902, 450668385, 459540300, 912897318, 790297701, 417903997, 949228037, 65792684, 553026618, 986470182, 658698128, 760718263, 22082182, 479959339, 37559422, 557866975, 659197929, 685782230, 175012352, 755627667, 921619710, 413413926, 238819755, 90557150, 604542378, 726498984, 291789702, 253783225, 345843938, 150639423, 56666481, 516588437, 448706440, 615760164, 496126145, 782624691, 72113896, 68310232, 994950477, 940182523, 873154189, 342962724, 699351077, 178714612, 784894950, 285507882, 1018170540, 740916953, 307808834, 945234050, 601256792, 209861172, 261820967, 382943628, 471530877, 1071605980, 823050706, 72328250, 209815492, 397584975, 439694545, 415116240, 786578971, 494243065, 120425282, 976711999, 123615802, 153349457, 452684480, 370925348, 796561894, 964324609, 730518111, 629820694, 125094194, 241457930, 437990165, 847450694, 735506110, 606419871, 555338441, 12261842, 678767587, 859009719, 77836264, 87692133, 195661858, 660789915, 1007176664, 64373220, 665909094, 1006744190, 347156128, 694182608, 986933207, 359644288, 261036659, 465793793, 414612792, 100795438, 800678261, 25089610, 542189547, 680308616, 149631986, 864499798, 42046985, 258813489, 52201486, 1058042900, 240774435, 876788333, 35130845, 1057581546, 408334016, 10788716, 464863049, 149865170, 10637569, 789259767, 594185915, 494197015, 656465196, 488614183, 900434515, 352369788, 134269995, 445043359, 910222273, 943497132, 233624495, 679997216, 469477936, 1050340144, 393867143, 1002531241, 300755333, 407399748, 222144222, 391100324, 910965073, 518638729, 90561925, 1042415816, 460603211, 1071258029, 786996267, 803916941, 516342050, 11590402, 758745328, 729597660, 591618220, 317783466, 666719782, 108410772, 585290352, 890752668, 880441787, 957040682, 922826181, 97358075, 589953345, 25315590, 60284322, 433540309, 294676546, 347345207, 1023492137, 53234569, 236564399, 117504736, 535940824, 1067654646, 421557321, 454525551, 712616672, 536040254, 117293886, 159170152, 976997757, 86647249, 315030182, 301917913, 579749451, 467265721, 747438766, 940874715, 64627620, 992018881, 447361379, 379691742, 981226266, 1072362503, 254569641, 492987975, 307211762, 581011347, 963341009, 303516927, 532326694, 243936395, 584531162, 912814509, 193996852, 147969090, 582285246, 778287710, 139125647, 503077500, 644261284, 4974267, 316313150, 1034959909, 1040836961, 621238535, 336168340, 331658259, 311741352, 674045794, 577619266, 661840999, 505759786, 564644289, 523161700, 566343684, 189319056, 108788225, 609293885, 405403816, 260440280, 993789616, 1057556740, 547640597, 711869800, 833495257, 384485955, 461698750, 275329698, 764147752, 203702886, 137327222, 217844542, 994603339, 56230102, 29791438, 731943737, 30599845, 1034452088, 465590320, 498623735, 275719927, 711729662, 73697704, 989088162, 140421944, 472595510, 351142141, 115239834, 91267623, 170146613, 830909279, 213158605, 399056339, 539252042, 976824952, 654808142, 120328750, 117362001, 132494840, 939298836, 764503828, 285161312, 134410621, 759735328, 859026107, 140785530, 305185724, 747104614, 295425177, 828401935, 509631594, 776649527, 524331988, 804787196, 72180621, 901346804, 910977573, 1028501924, 974595195, 605186522, 806946139, 385097051, 937283338, 348207866, 364906940, 954139634, 827081231, 239691290, 782699209, 284991473, 262113861, 905085489, 567147930, 618864917, 744050163, 570262649, 993503227, 958823894, 560249390, 531867942, 415253112, 160549350, 925335025, 1069882713, 161206448, 444005726, 384122668, 810073711, 753975241, 413776228, 594554146, 833566527, 767030808, 489064200, 663395720, 444766766, 891967683, 472529847, 73378035, 575931535, 806905811, 720944357, 381731882, 694742987, 675802515, 400510130, 314320576, 490258390, 1051341949, 297553895, 706898014, 746605801, 821847725, 101731807, 405326048, 671365257, 606612793, 886371815, 320492679, 791109290, 191945672, 87168442, 917102072, 380463416, 533980024, 56638564, 154207087, 1010409848, 187602132, 44275032, 1040026058, 698613259, 800251144, 126525903, 739708075, 352201109, 1026359509, 564214781, 875463077, 110474102, 435694109, 579182063, 642562294, 18074431, 265704257, 219502960, 402774781, 495070774, 205207920, 906131922, 463680945, 951538472, 592844488, 467067336, 1009045257, 730270015, 471703028, 717998337, 314074892, 493961855, 852329576, 424013761, 993053708, 806379957, 133703211, 13943245, 779411609, 113601979, 303702614, 399148864, 822405183, 1058105377, 931933920, 1060816433, 88819733, 742289170, 983378090, 428171319, 563243688, 852500955, 864301277, 442018463, 330067249, 123177845, 161962672, 792948427, 883996822, 220512355, 886253814, 516070357, 1069315928, 800221151, 780802381, 524835089, 632652794, 4536279, 530339806, 731402980, 1022422474, 776193598, 592575528, 985589973, 1067997763, 908406459, 603727159, 991543602, 75864339, 1044268895, 550922903, 520753059, 342607513, 58026977, 445293910, 58955024, 679811207, 120854883, 1043135685, 585145338, 22014792, 873564061, 522372355, 948131790, 777555550, 62334392, 69203851, 1035130397, 700368046, 560708556, 1049579376, 825140922, 558451556, 1052123233, 882424167, 172543858, 94532851, 14211260, 296606618, 719957611, 410905327, 784188306, 604286569, 601461384, 485146977, 778589864, 824337388, 1000230068, 556208239, 670667610, 389221680, 291146978, 620036982, 996986459, 543435013, 418927236, 502895524, 507230624, 947287987, 673130422, 379618670, 614687004, 782334903, 441123586, 920575407, 395125533, 623294637, 791069636, 142828553, 934695853, 785798151, 626979703, 191144450, 906166484, 958438768, 493658572, 565855880, 349667101, 113745331, 91106279, 316963673, 911702159, 510792114, 237381784, 59298534, 616829639, 810306542, 518732494, 848113824, 232294308, 781820574, 169698342, 83893607, 31895930, 67251627, 367963951, 711617542, 107445862, 560665750, 802947765, 592645045, 1037161133, 192135058, 763544502, 788885999, 580683539, 318662000, 309614278, 266518733, 510194341, 886854624, 631863607, 115977148, 91180928, 391290226, 1036239236, 571251992, 329354165, 619774525, 909389912, 114956114, 833813516, 583764952, 757467818, 660316585, 787688426, 380287750, 756323700, 383076411, 756513322, 50749030, 751405003, 127827240, 742693702, 565284424, 748148838, 944421303, 33680633, 1017446137, 387102260, 621054109, 644124951, 257523976, 253504894, 506243803, 269811912, 160808321, 552318204, 60335171, 56615934, 693464892, 922539980, 554456661, 992095432, 528411446, 995972211, 711552346, 1056329725, 555892003, 362017207, 361390181, 112470316, 927546827, 807337710, 719974044, 1068920540, 390318441, 543550033, 237653811, 611763670, 97697260, 335761096, 619120784, 763095442, 203836594, 642818123, 755242996, 497699123, 901892023, 44398937, 1016626768, 7833543, 192892991, 201607698, 830654512, 460334375, 205221599, 605991199, 585047497, 376497701, 826944353, 671135124, 428789152, 493994937, 454326162, 468361835, 225246993, 349311292, 59057256, 627068661, 273253329, 482234822, 1041166898, 345129980, 640184430, 455119604, 1033470921, 400769039, 717089189, 8376226, 204823351, 753378238, 207387405, 506230710, 437832539, 785680781, 497930890, 483471133, 170724850, 315019767, 859721794, 650179448, 342908940, 185046201, 249842547, 88275411, 263628419, 571933730, 945568435, 134059755, 817976228, 218011458, 310075223, 271424049, 54669720, 402432623, 127912111, 268949390, 131473616, 763421038, 860193148, 1001730333, 626894460, 528332726, 611374125, 680884774, 932247604, 873828711, 241298722, 1031002542, 875777469, 395219310, 356434994, 1056002006, 430416328, 494561486, 695907620, 792805246, 311876451, 60822160, 125139950, 237123814, 141860564, 227702645, 861982049, 1009314484, 544025600, 234806741, 280629259, 972812212, 227017969, 225623913, 948783589, 673472252, 965025771, 327420264, 378924910, 1040644369, 549595007, 156517495, 498959591, 668450896, 848994976, 46907847, 317847646, 610944128, 478088407, 261609360, 727153170, 52759053, 723476359, 267704950, 678703806, 859808616, 402867758, 625660899, 171173848, 1071132262, 693261682, 688642616, 170557052, 590234388, 1039451504, 630423361, 456602765, 989429543, 924940901, 950687408, 404935341, 131931454, 940888611, 748472693, 540633325, 974878519, 415131749, 433213688, 996823897, 304139543, 386318403, 598920309, 140213339, 837123518, 19358043, 360345977, 803603389, 217154579, 618811588, 747849301, 421366656, 823295238, 823081978, 965045262, 248384560, 187507068, 46651203, 332785455, 975343189, 83915675, 839710009, 695774371, 415345832, 517255532, 150540325, 370924611, 413800326, 19874824, 206710088, 772311333, 867369118, 740332429, 147117273, 1035325155, 753252255, 876605400, 658967055, 381664275, 466968822, 350977781, 854904824, 196300392, 549175248, 470576906, 325270971, 672131968, 590047136, 259997118, 307971343, 832961205, 625808339, 905860264, 151442926, 572648982, 53503115, 434070885, 404889074, 485457330, 596468617, 78214678, 876430134, 794479038, 481151494, 473108021, 236263948, 199616013, 447032976, 223777927, 572005008, 653217132, 1010288988, 869573484, 704970461, 818405085, 433566039, 594440527, 885955736, 222256955, 869582374, 235376066, 607420802, 263258084, 175588177, 520316560, 938175194, 1028586083, 998681840, 271374321, 474592828, 503716708, 489363200, 780428625, 5672396, 132070386, 457924924, 960325510, 135463414, 245615223, 718118547, 876873115, 1016787369, 613568447, 113029916, 896374144, 479028531, 708201314, 691849648, 677678889, 837395662, 791146910, 474836478, 288279130, 637229913, 886595437, 153941152, 174998677, 86985216, 448582769, 809665338, 1066930966, 313476803, 674176097, 996677851, 357880082, 486631701, 85190079, 826545627, 587109831, 1040531833, 328262526, 357218169, 75573932, 566903491, 443862183, 287084426, 536454478, 927848444, 140118613, 209652966, 435844795, 752452822, 801465433, 995848952, 939047927, 565154435, 55339573, 592849354, 298949382, 776525767, 813980425, 249508212, 1052269954, 928799861, 103505380, 592335482, 214653354, 156230937, 200261570, 477573428, 611220086, 374397462, 514232938, 725276914, 606343406, 1002365090, 805256345, 793793110, 579413579, 103430185, 583315070, 740298447, 81303254, 626235189, 1057255156, 1062949094, 162288551, 884700988, 61178157, 937466995, 326030287, 691808220, 891268075, 341115581, 141525022, 1034438071, 332767653, 394272414, 120943638, 126490342, 889719011, 217089928, 183350042, 626537082, 772042302, 802518664, 63283966, 915182449, 345459005, 349902245, 362239084, 964878127, 30386365, 648972270, 416333378, 304260663, 73659296, 626760357, 833054867, 880271726, 394571585, 878447577, 308187747, 963202397, 828588259, 750858582, 598432670, 671631051, 218884843, 740083692, 84158719, 946528852, 730383437, 1022995725, 180880128, 57512887, 1003774462, 1071974544, 504147964, 903382667, 812874220, 848416764, 762847579, 359516541, 1002308756, 354631869, 940944501, 451315743, 530091434, 1064636773, 55712741, 718811481, 1014701022, 945051323, 254107758, 521152603, 898952072, 458100506, 724701605, 202415647, 406767313, 906158378, 248912892, 554353380, 266917741, 744151490, 144535458, 463299876, 109453581, 324373069, 32067820, 692173320, 988258683, 165734163, 993026032, 565170184, 95551209, 272684489, 581998718, 66467619, 824807786, 495453021, 154752132, 882103808, 994954369, 220551451, 855137256, 386860648, 520472324, 112313152, 492672112, 359855382, 698772831, 364798365, 1006015968, 15326054, 384621567, 966771491, 395746429, 72360645, 764040586, 530007969, 782662096, 604375044, 469809263, 378903539, 842432839, 34185590, 586725232, 957977829, 708360964, 69377608, 446731421, 544070111, 1013677843, 812977824, 68051506, 15814350, 36955104, 854463344, 250087269, 978601501, 537492433, 714089744, 895872324, 204980536, 719168294, 90175682, 253892688, 726357765, 33438655, 828667523, 859071997, 170932421, 237116764, 948591868, 234461232, 1013943678, 663745847, 298602829, 405994852, 1062512283, 896829213, 705759759, 414398017, 5963037, 769030202, 251549732, 369228480, 627997658, 337566986, 656998959, 58237207, 110206311, 52630664, 103145353, 145914668, 335821359, 996404278, 515171184, 364730756, 877572919, 387544664, 887957229, 339626002, 631080, 210036255, 343014281, 734670102, 449406451, 99947123, 462081881, 638893081, 23531489, 92466314, 967688654, 860853601, 652397406, 482431230, 399481837, 183819233, 53162006, 714502528, 357112385, 240793456, 678053840, 627578341, 94485541, 758506690, 720360790, 6019194, 329400569, 183122182, 765185972, 120138004, 867944952, 64283285, 840933976, 100900302, 721453940, 837461578, 798048410, 720189143, 889908079, 899614570, 920301683, 121234638, 259764991, 52396314, 633902820, 719028480, 281443082, 477599454, 338647344, 568455526, 883831180, 567706630, 699052832, 230157137, 740262422, 845105935, 939465664, 444142797, 33011348, 700089139, 445484859, 887289278, 1029184455, 618420573, 1029541845, 191552914, 808088991, 423051592, 278433344, 670003107, 1005241591, 378968187, 567415604, 241107238, 86897075, 116211792, 902921991, 418996294, 958635691, 888988264, 543093100, 920566244, 338744100, 917809288, 685446946, 969151678, 382107140, 557766864, 68733914, 274454950, 975182622, 437709043, 654313449, 627510710, 388301108, 520034834, 411906912, 272679519, 465143792, 618400395, 413264313, 356211113, 261366293, 1069810049, 474837709, 756037608, 494713880, 214641497, 235932272, 274459867, 851884242, 152972361, 878891612, 1000682361, 755632721, 1005430611, 286902080, 506796276, 506774265, 357449362, 951560849, 348769855, 236159692, 709419954, 881269476, 1053192666, 518130139, 860211617, 418637034, 534622779, 242422205, 875192187, 647492679, 929715395, 755164346, 309662374, 591920408, 1031092197, 254667114, 555875212, 741814448, 242711586, 666020229, 136027568, 553486993, 7470782, 409135519, 1039042427, 946875008, 149530851, 1031218235, 90580128, 634645498, 309302959, 172098637, 700018224, 824732388, 8396710, 43610353, 430725329, 1037034495, 979432581, 559662653, 214285258, 580660198, 727509839, 960018934, 462682382, 838274248, 68917988, 630006517, 764462078, 147600054, 328704697, 903721475, 495764828, 630219124, 1072475918, 899474981, 274894311, 726812031, 2693847, 940215186, 519779449, 891704519, 864177557, 753652475, 896902370, 133465810, 545604738, 742332570, 1009096244, 25805174, 542389492, 637571177, 119552494, 1005371215, 308034197, 953233538, 981917013, 427956933, 746345127, 873287297, 71018823, 841952427, 582703579, 673592050, 335956432, 958402427, 299155309, 314082475, 417947519, 301330664, 1010283210, 243298941, 233598171, 123153167, 43606689, 984644254, 513558060, 817571151, 407183834, 560985968, 876989196, 653055648, 808193728, 303441126, 830376056, 750330478, 846323192, 157744395, 149443269, 804657523, 500926440, 393803766, 1054560626, 746856136, 539101528, 177000528, 294551203, 1035650893, 551964741, 501014546, 311297216, 867238636, 340937665, 125173631, 482982234, 171844854, 312871023, 770928851, 590784696, 552558080, 810194609, 874663818, 992755843, 701627572, 648191156, 738003375, 222651710, 330123356, 220121272, 378727718, 199676068, 283050131, 15797165, 508158432, 320608402, 310586193, 1010901440, 975752324, 285963627, 280746377, 177507331, 243676309, 45776072, 982678882, 769020413, 437170697, 723403536, 188131519, 980258412, 631120541, 1062892791, 440231375, 261003089, 162069378, 321735582, 278652484, 978696593, 508741413, 1043802016, 763638573, 812353771, 579815459, 369719786, 622107142, 814205027, 236753329, 587265393, 919774709, 600818323, 549735139, 267926799, 432902343, 83834934, 504279561, 661961670, 400338788, 673971733, 387702092, 223696863, 107358250, 319153456, 638962282, 882796530, 281265671, 498802272, 88368725, 754336033, 694143132, 211865376, 414029372, 893678559, 779382268, 578228551, 630742020, 235339957, 340088336, 361002296, 185209970, 513134859, 274248040, 83355473, 552140937, 5180615, 918245306, 122365536, 686154808, 752599251, 613955332, 816851045, 733490018, 907117366, 194592845, 912322377, 112591774, 156595923, 607497235, 648414769, 1060411399, 42031895, 671167181, 992104004, 365582525, 350030756, 102349002, 148699330, 551829740, 607008763, 615030045, 464632303, 822595773, 903553630, 718270756, 739594117, 371835974, 775450576, 272134113, 10091268, 52126544, 786176869, 38188572, 241656394, 429667248, 30465230, 759848438, 20227096, 863810526, 849536354, 561408591, 724930245, 853330341, 84053245, 28016281, 757681523, 956421500, 1058582300, 1014496187, 917025658, 500251010, 253019012, 157935252, 718197192, 313470800, 384175987, 116986965, 792107937, 940104248, 82668239, 32481117, 605988389, 131453458, 941969185, 691468746, 552938557, 150736972, 1064624841, 198353280, 313640630, 160487282, 429174649, 862761563, 963622502, 950173739, 208256298, 237445767, 528227403, 182645368, 129540668, 429503170, 425143284, 215361246, 81424977, 754556246, 560370375, 924963622, 751490342, 1056542068, 489432940, 359745096, 506298936, 787652043, 37680881, 758708228, 96539479, 579110793, 36491479, 161648186, 190972709, 40910852, 201205317, 638432079, 546952844, 996670241, 535650203, 681379992, 55940457, 545778317, 303391116, 38303350, 153863996, 247082312, 946792409, 963680232, 620487649, 666063321, 1059458288, 561443130, 302002469, 926286157, 445701144, 793666003, 406076508, 777351127, 622558349, 913873386, 163383189, 994225770, 680619060, 233306807, 950188172, 641127517, 495987659, 397124745, 1016619706, 626035878, 690929540, 649664056, 833825782, 749114353, 624638950, 269316960, 526921090, 462019615, 306857218, 801981912, 264698871, 898297040, 428846971, 543631267, 983679911, 892207684, 239729488, 732604626, 85091568, 858752293, 85067850, 472400446, 604043346, 558315511, 40567513, 67059541, 982765376, 1067076948, 902288218, 19976945, 30322131, 857557184, 473343454, 781898418, 890978452, 1025734508, 187090139, 312502776, 666571545, 378089002, 245355941, 388284089, 440649434, 467144991, 192830641, 664504126, 430450891, 671717398, 1029635313, 908797272, 834148055, 981451941, 755257081, 902424683, 234832571, 654657356, 133485558, 734679045, 844075008, 37979483, 36378069, 549848653, 1038658320, 466325627, 821762480, 1039512031, 448074276, 578360254, 621451848, 1016426143, 175289279, 690099298, 156698102, 311424043, 108865720, 766863814, 1003502039, 223149215, 363597756, 479273715, 545454530, 330513015, 239194353, 803366181, 676054863, 563128429, 1013264669, 84371154, 917125801, 4093259, 664777118, 34421232, 216052394, 527860170, 26409896, 62648860, 135710125, 966361837, 382827860, 410596573, 785711813, 290238090, 189995757, 38855159, 429574931, 307525309, 915802946, 214715241, 441604158, 898773787, 510900785, 683599274, 796682226, 792444941, 186291456, 634037251, 652536601, 229184793, 693206273, 452246074, 198172451, 629290137, 921337895, 494513104, 534867857, 31689619, 361263055, 41197239, 401661997, 229383959, 762773696, 630199383, 702311714, 1046240557, 608016020, 198145354, 313093063, 757471337, 829306874, 105238881, 698126494, 999395857, 953006314, 182836696, 563343357, 902736737, 614417993, 373494974, 736347707, 793913956, 331197144, 629514414, 861118968, 385714296, 322623386, 1006426903, 670292760, 239323984, 57629244, 842946961, 571742297, 593894017, 1018124457, 1020622767, 662244489, 129985994, 36805790, 86458488, 204601071, 56065441, 1009683765, 966659417, 315767703, 766195429, 845923519, 106117072, 668035245, 365055266, 441065690, 492904652, 942496253, 383200998, 157545817, 108389093, 666895612, 171598803, 815735352, 684670995, 544552528, 361341008, 518866552, 76381171, 684842394, 484459924, 564730078, 1019307244, 886403906, 785686967, 317683974, 599748514, 362335250, 219606460, 142166549, 151086394, 574060715, 324984640, 75921375, 534810194, 234391380, 212587888, 678218139, 573525656, 1044463863, 918842443, 738873110, 53959534, 367673016, 867792713, 79838443, 78084733, 945405761, 13948422, 932918509, 418706368, 969828536, 527037367, 982499369, 965631728, 702733162, 63930742, 892700573, 954639316, 41046052, 1058681719, 1065268228, 705724576, 42197335, 234506703, 494259735, 969129632, 497840161, 650698890, 239849361, 436456156, 1022026566, 177857586, 778429761, 1070389256, 356513959, 1027546016, 205804329, 199831138, 535345770, 234780014, 301775659, 139882696, 678224389, 201333386, 454809804, 774362987, 542113861, 406719203, 1066425117, 438516570, 1046378503, 246620816, 834957560, 975457124, 658296616, 320057333, 760365863, 77031048, 186955453, 943099545, 968690783, 924493642, 773277327, 398549474, 145403228, 560438074, 67996026, 1071987866, 959076839, 968305751, 138594545, 614102088, 648898738, 501280659, 651578238, 1007736367, 595535276, 521263438, 131780271, 854871005, 206759571, 771718655, 854299787, 327861211, 56548703, 9146970, 226323046, 533746934, 312836487, 702831783, 826047977, 255337705, 330732655, 318307526, 956171867, 860008659, 328104570, 711495712, 530043803, 247945814, 419954800, 933488601, 690904570, 1052655567, 409171858, 336003791, 1066765079, 626991148, 618611524, 449584921, 634760308, 761993946, 887358741, 47902453, 551330222, 402692417, 863766000, 854678748, 586205993, 600705821, 103796304, 710302700, 623154156, 281019071, 229467910, 1020810110, 839900764, 149506685, 557110511, 105390723, 512005150, 896123531, 222750422, 189484876, 1019398854, 964817595, 161282439, 834660818, 801817252, 116378347, 601431236, 409004621, 301485015, 20358452, 9887535, 1006415899, 543849535, 772954988, 410152693, 207832367, 784665230, 626808266, 493712663, 501450658, 325555406, 175008410, 469260831, 607661579, 439156954, 769495930, 546781297, 1055662068, 1069972329, 963741981, 396362716, 324281896, 242807733, 527419076, 316670244, 297335470, 400648188, 268078999, 90786825, 348412765, 963688339, 99014827, 251179333, 164176315, 974620989, 232906173, 835882979, 248820773, 1027290864, 682980462, 969508227, 740665346, 305095213, 789158004, 169765501, 989176975, 32397970, 689182091, 1000045562, 90805514, 148761469, 719920408, 755346365, 341806801, 4183457, 112172980, 947763423, 137976275, 854598487, 1069809914, 670502526, 653693938, 1016560216, 236982110, 30171166, 834705206, 725551097, 900441840, 695366629, 124918041, 76540000, 181370765, 1010019727, 20824369, 363090242, 905519008, 683405443, 670620638, 299757881, 251338244, 886538107, 339468952, 491386706, 934990446, 592215695, 994845377, 952141221, 807896028, 1054597879, 764781289, 54860584, 947463479, 273933622, 384982143, 426041183, 142881750, 930054072, 198714909, 321642842, 177799917, 1003713935, 109936950, 213106830, 280498252, 911684605, 381596998, 175987406, 852481073, 426979728, 504134542, 313576715, 762661558, 429607896, 565370098, 666408651, 662345537, 496320921, 284758041, 213279954, 559565069, 27379839, 109225147, 477216206, 964287126, 970652377, 2419387, 1039531830, 989001175, 527878780, 905499865, 783418707, 289047561, 851223203, 359290304, 144484000, 543775903, 394317815, 9553493, 853364138, 300088787, 951654381, 124111922, 927149, 56700511, 548004627, 20534067, 518097695, 313667301, 126426763, 66083265, 233903660, 369951351, 248013418, 725204445, 27459106, 865638083, 573944515, 236416565, 184227824, 23926002, 975082080, 501250730, 824971311, 201624053, 915342969, 1016723522, 771107910, 574949471, 609605864, 529518182, 1069134592, 899711218, 945478233, 919826323, 266961779, 1019892694, 71208000, 490109035, 926868481, 342002752, 276738301, 520344102, 625265909, 683830106, 578681087, 785645177, 680994146, 834991711, 394163439, 520818066, 449300572, 246791225, 698774871, 883530278, 9719319, 566045635, 329534524, 830255692, 235797476, 471859033, 1007543576, 909383423, 974168027, 1014144075, 300528514, 361009503, 247074474, 661286375, 921785714, 852377169, 575700380, 866583297, 737792339, 423220444, 1065727385, 1061315889, 800751913, 68431580, 888758403, 1051920585, 74006012, 281891640, 829954192, 981503564, 234782811, 248143201, 619538970, 921619280, 295102880, 116563630, 252707771, 121700672, 6632270, 427516856, 756835109, 812630985, 350436523, 407947811, 532948998, 509467576, 521943053, 130015502, 110474897, 960919682, 861030014, 137067831, 731962856, 351917048, 18097897, 1041349313, 319794648, 524080280, 176138381, 271506132, 221947551, 478794712, 34111541, 938061508, 205635237, 385488486, 720139959, 586473440, 680483110, 557850654, 984400182, 607747514, 943192580, 931914241, 278381473, 671570255, 245079440, 200406124, 1020847868, 1018265439, 375505223, 222686639, 148465814, 885084754, 100890167, 1018681514, 810549917, 530443492, 453525224, 177904269, 53390913, 920488031, 899851369, 312268510, 50786200, 220154516, 906900107, 451661724, 734345485, 699454668, 884497776, 614041443, 56340977, 530998125, 898186176, 73682274, 957148119, 436978890, 815216248, 46268792, 103246123, 447636278, 659403864, 59526436, 126875225, 266907634, 653994336, 865822564, 166019272, 840462566, 201871970, 311343112, 706816477, 518233435, 573189389, 358776129, 380742902, 470431666, 167482446, 109861851, 947750644, 73423969, 204539710, 366851423, 964747724, 209981414, 536544357, 690305806, 829497727, 685221946, 607984157, 576553730, 503039856, 1040695921, 194301569, 477954165, 133565116, 1042815498, 526801926, 785395976, 504073839, 943246346, 28186063, 83101792, 743215394, 688582841, 712617204, 963857892, 391101444, 68542787, 931545471, 834027678, 796278884, 22153845, 944510753, 227396943, 788750637, 66811944, 129266482, 1004095690, 637951951, 926412230, 1012136871, 321207481, 483842080, 650192242, 164250723, 974285402, 140287029, 95338541, 417081856, 589591666, 121607378, 307079342, 1009479000, 271170574, 724668017, 4232323, 55176080, 345512037, 977997077, 819038377, 1065822388, 535989421, 958261310, 97649460, 1039713437, 1021807128, 586811511, 94891547, 963915555, 1003648659, 357557790, 269639190, 63427562, 556707684, 309875980, 271963948, 683650025, 94645900, 15835644, 237622973, 620615991, 863960948, 525940998, 150151109, 443414649, 848944838, 508228697, 448601798, 854206503, 273180858, 1043074994, 593331467, 999561014, 680654306, 753831943, 591149201, 31331638, 427904760, 4020928, 433946799, 609613766, 809410092, 232886355, 44068911, 997127586, 938958074, 720555826, 304726670, 399603553, 139503702, 1043813140, 1045146955, 489779220, 915672680, 1070016879, 798652801, 299372805, 1022288029, 149658238, 735090562, 905669743, 1006767436, 177383781, 688726819, 540361884, 502741573, 65425313, 796172421, 10799219, 354677913, 628632090, 286052134, 359642272, 579938899, 534525833, 948178348, 590783340, 404837589, 270141650, 808046900, 279572094, 214362240, 987304692, 665013719, 958562997, 72936482, 791148364, 620031002, 958369743, 397555555, 107685135, 1024450227, 1016694218, 899904081, 1001245610, 653668158, 725223799, 536321131, 418790689, 326278700, 877923152, 285920256, 827050710, 929553600, 694929791, 472054499, 261291260, 1003529514, 895867224, 1028872928, 852780783, 312216488, 122981693, 112376483, 278342944, 272674656, 374524482, 673787617, 1035641046, 217661109, 75006646, 774632493, 789443485, 399891222, 862612786, 576723016, 259617031, 75107939, 180348643, 262034285, 738543244, 518604780, 239925934, 795157501, 418854596, 13689288, 913672901, 606802545, 789151342, 986716686, 1011498894, 1064602674, 683746121, 546775224, 23650444, 997914231, 510024794, 185230144, 814533192, 457183280, 995049112, 797263489, 859044909, 588531921, 981794502, 1003309223, 1040513486, 503582516, 951469085, 838236812, 430260787, 948786303, 536039859, 760677866, 260583965, 731763840, 592578147, 544865036, 800978938, 692559539, 874198510, 747553204, 163621713, 1038568007, 418044074, 216243078, 1015935748, 3085168, 680315822, 925615648, 846610991, 898379924, 823269137, 727150166, 710155392, 439125917, 242965133, 424809084, 733762341, 108158298, 535905679, 979422669, 478539987, 457407373, 856449584, 360892076, 654199500, 746597243, 538208357, 249656760, 203405178, 233071898, 947603758, 1007572069, 122537712, 1046810174, 360511137, 247915723, 298321339, 133152697, 803799944, 192649539, 974095561, 426604613, 1010268897, 307597813, 976002522, 877679984, 669134217, 317783455, 615748050, 664472032, 883367745, 648584609, 705017650, 169315810, 25900180, 80994109, 818407192, 1041195388, 837753058, 371031537, 1031451952, 749385250, 833859392, 454497335, 902832265, 730948026, 419386329, 254148645, 811978189, 617282432, 826964452, 1034398539, 277886256, 580074323, 402714439, 960707126, 762809311, 242571554, 386009801, 672296587, 1003734615, 1046735796, 492441778, 505237800, 272365427, 9567670, 271172399, 195345774, 800603270, 606811255, 146510900, 973052628, 153051167, 725425520, 875499501, 942519780, 447514110, 533853602, 323771876, 875876580, 198944055, 1035714966, 701852314, 130911184, 775780089, 557396161, 928210362, 2125054, 313986774, 81882562, 987422273, 263235816, 268749991, 361259553, 267080546, 2468042, 375182148, 226315846, 9661557, 478293608, 897047090, 166084635, 966852219, 1049581828, 666352866, 123364737, 354215363, 469889582, 855699123, 168465034, 914547098, 336738744, 119660309, 687079375, 666123670, 761956394, 477964493, 1041107562, 669157317, 748803144, 444050621, 441424383, 316693183, 281094527, 621575259, 74624821, 565923705, 94338843, 746208523, 987924063, 302208809, 695344535, 96480606, 48874786, 65302955, 771411330, 853279536, 761092155, 280574295, 319838255, 115361157, 404027543, 724776217, 997970680, 680010252, 845808914, 921356507, 682484417, 1016164857, 236476622, 163647261, 602306416, 74964083, 637316719, 747460077, 490061960, 769888590, 79735283, 517770821, 371591596, 570718812, 749164109, 873958360, 831062619, 471132191, 749093958, 190213616, 34968713, 1027444291, 444542704, 687114151, 493786675, 303830933, 543101340, 473584562, 983707665, 1018367518, 568027546, 1027342644, 1057434147, 964570440, 420759969, 202195687, 124013270, 411304813, 355161743, 898267902, 656220620, 688413648, 119406374, 281728146, 683531839, 52224418, 806876347, 77339042, 641008059, 1061231788, 165256508, 996849594, 536880808, 903854736, 39314968, 104444986, 455093866, 65059476, 984487402, 650891104, 573304576, 612532069, 170234525, 143150783, 5326910, 504778118, 172593297, 686935024, 861397627, 396990609, 150321580, 421651625, 83658532, 225801511, 522386632, 403832624, 989184473, 653955041, 147237498, 766465786, 647638385, 960468876, 29689355, 825002076, 944803863, 456725258, 1045402003, 617842816, 1024435809, 585360789, 209352534, 765868622, 48750647, 93551131, 322428968, 149373316, 223703836, 47504762, 867451824, 829241067, 194096351, 522537070, 205015198, 261980447, 902115622, 280211767, 293704056, 858971477, 204678196, 3123329, 479596589, 718697947, 306284827, 781766223, 34765787, 863926253, 569559681, 436864808, 692822038, 42846224, 90815670, 208504777, 751961539, 829934179, 276798407, 82737351, 394441059, 39702539, 960886233, 649252524, 112312681, 203213609, 33554796, 770873002, 629759623, 578005155, 504055214, 49260772, 48281227, 468734090, 442676734, 840315626, 3734428, 459082867, 924017854, 384515496, 933069757, 742423316, 347929794, 923258565, 677485548, 969582724, 603554820, 1045148173, 101278669, 569501327, 586249911, 199557068, 645386487, 958407293, 1027539046, 705501056, 147510307, 960293858, 901016825, 201795247, 984692898, 566270757, 189652008, 544166756, 571212317, 1044618272, 781274840, 761565412, 411932033, 625001368, 588920582, 1044596741, 1016063661, 520756653, 575822666, 21500760, 91826021, 229215879, 838483217, 486389264, 869009337, 1018293479, 972760739, 989314221, 548828931, 928906267, 917986083, 1054212863, 741555974, 147295487, 79748813, 159039378, 532708652, 299408183, 240897139, 45690802, 559404857, 323641200, 190588660, 1036924348, 415417801, 519534769, 876617381, 313858495, 469095043, 17792717, 140285575, 417010182, 336298386, 660108082, 384143717, 793338161, 384496093, 988021110, 176122107, 239345047, 882909563, 125661936, 64594075, 261480195, 645480440, 346845635, 850686460, 611232421, 980805833, 832091268, 366142809, 775276217, 834110215, 551815332, 175859251, 1003046219, 103260938, 409118507, 602304194, 1053738448, 147574463, 1045902679, 921070889, 177085156, 847027207, 181564224, 497831719, 438944945, 627503803, 12357881, 1020019872, 559640339, 819231911, 643504631, 467489995, 12779661, 798051767, 513850368, 492348191, 172277778, 555892141, 504974120, 347224225, 837418384, 422787434, 913004014, 878668766, 397666942, 638920899, 982763344, 979406299, 749449964, 584975615, 989899820, 675692283, 62660497, 995486986, 722022757, 743615411, 639775916, 488181538, 798752034, 8669833, 873040374, 588132758, 523986842, 257778155, 657233068, 183586552, 864375037, 570724685, 192723701, 324807628, 643321496, 449369862, 847564978, 667034739, 468533843, 874081703, 394938733, 820865410, 246558532, 1010192853, 455693463, 46223413, 351809421, 103785061, 108863413, 466946311, 123832213, 53539190, 428575386, 682135451, 1044949426, 208209358, 1073722577, 607038460, 236687461, 122744698, 916669500, 184612369, 979137561, 1037110603, 838720125, 596061773, 764535738, 610911022, 181694905, 377134116, 410056599, 667137539, 590387284, 1003657407, 237139843, 727143071, 765374239, 764289753, 532761218, 411646007, 462782200, 815331021, 429006665, 35749442, 1068979462, 269068059, 877211750, 460877936, 918389437, 483596990, 765984677, 407620527, 600707036, 195677493, 644291845, 45130176, 726108696, 981969090, 726472428, 612583451, 659060950, 120518948, 145871156, 922979174, 773309409, 15913410, 122434383, 736156667, 177827119, 296385392, 786834885, 1002637024, 253296998, 124867538, 812997385, 747954344, 445576332, 107559789, 841699116, 922084321, 694846484, 565228290, 667368918, 378427993, 735585038, 676123528, 1056390186, 894959634, 344117639, 494134556, 1046992674, 694933548, 915825887, 219009144, 355268132, 142110033, 849201838, 27851815, 819890076, 403594803, 500558364, 387198060, 763561598, 74816812, 526326596, 264394458, 612241666, 526638680, 827432999, 319731268, 159908789, 828090488, 1038831870, 1070526484, 146344713, 76496666, 245441695, 865300799, 514414369, 268041789, 229484441, 988315998, 315146645, 979496602, 589522861, 269086672, 460581001, 492314400, 29470675, 94984972, 275732855, 899540027, 510415496, 589342709, 818097219, 277724438, 262061247, 796739631, 991932403, 521718061, 1055750098, 701343273, 15016263, 240597449, 869620689, 67002716, 880205904, 58562794, 1015290314, 894102272, 661769970, 1033974121, 736591470, 65453441, 550338330, 676508300, 559621462, 306200014, 971999002, 306450508, 436557649, 248958036, 642179679, 600977779, 717695415, 656655554, 444421386, 224624290, 580974211, 253201499, 587754970, 66990866, 78526132, 1003353076, 646424749, 607649597, 133167786, 439047678, 10800426, 197733893, 701746383, 191030290, 916636192, 963673391, 40154340, 536544021, 494480795, 669575927, 926625724, 855460313, 989165144, 604835689, 966198271, 742120096, 153631292, 686564535, 292385883, 569842874, 104613039, 360654928, 196362163, 736146573, 52298933, 871083167, 274650420, 521124089, 438240628, 728642952, 914691135, 481819790, 223468996, 906385284, 406812305, 490777966, 326063008, 244897871, 214835892, 773229742, 1022739294, 8695188, 266166228, 691250477, 425454223, 1042117020, 1011498237, 470842978, 492691537, 984099816, 82897492, 686942177, 270921198, 904171497, 185258720, 910554729, 628666970, 180383685, 73270682, 654933057, 275950001, 229857013, 529380897, 813511360, 815205957, 333941026, 1050830855, 639611056, 36422259, 512107658, 784578412, 271728780, 726815209, 483256791, 208113768, 414231277, 817096859, 9304291, 1026844085, 275909033, 272679130, 944169204, 342062373, 776377736, 472714042, 490162157, 286949832, 693056032, 969572823, 51323294, 783255102, 114707114, 891613902, 653865473, 1044001509, 654485067, 978372423, 1003551430, 914259583, 700468708, 829282415, 742594197, 816473308, 595154551, 680902072, 960198931, 573816631, 536326041, 459221799, 431987726, 870857074, 230241937, 194736835, 272147114, 805818457, 104747796, 1062871568, 78340149, 499820009, 617412255, 194955304, 505948441, 670728967, 342364010, 282038599, 575467719, 692554646, 644739764, 528121514, 916305448, 786877246, 525630832, 778393511, 904698268, 736503167, 902546471, 181722504, 818882115, 492554213, 442740402, 34520087, 411430186, 376395925, 33529467, 138251889, 960094948, 902863277, 749900989, 247699502, 65448531, 601888312, 859098793, 1177321, 993806516, 984124906, 615463147, 874410847, 177062514, 93677567, 879000971, 997180958, 979416103, 509176441, 173574306, 952435196, 821336814, 116203371, 1050174056, 934695185, 500380610, 336209240, 745966426, 883755383, 750940644, 846774755, 418302404, 611766381, 299091291, 699533253, 246600456, 988058666, 809202300, 373489935, 140476674, 707145223, 183244393, 936139128, 181567323, 893665838, 671376398, 151316259, 681511487, 55865870, 697340762, 927710429, 556286253, 207282533, 750370669, 678855609, 992124709, 224176335, 830187082, 148035295, 24487860, 475633364, 1006681430, 496061706, 718415000, 488343816, 445234160, 653825056, 84184377, 208606307, 519375124, 973973883, 572643550, 558783848, 976122697, 1056978526, 1027815226, 658020320, 966194340, 657567327, 348605278, 486825598, 598978324, 368643373, 767319334, 996926852, 480644009, 471270011, 251301696, 237684525, 843958640, 781480619, 53591116, 520828396, 187554472, 1005587153, 105236562, 652551873, 1028116875, 50229309, 147931928, 296781760, 263014142, 19992530, 558969277, 611876220, 979489796, 884336743, 885619274, 667701847, 146597669, 1050890231, 761978215, 483714721, 1056983236, 209115587, 845566241, 613115478, 492102144, 969986626, 402308284, 1029489953, 283164105, 650753765, 740867226, 427428307, 304264959, 362404775, 813884487, 495291197, 1025250558, 408805930, 338700958, 182823479, 526255073, 428305621, 823040965, 767396707, 878747085, 919422495, 787195433, 601270309, 102911376, 801668892, 280964743, 758356068, 493898322, 662636226, 772757182, 529685882, 681668925, 94844118, 948192767, 242154121, 813484355, 748828664, 126526065, 464648665, 76269943, 767327042, 319830957, 64993896, 9852003, 701809047, 240732345, 739176046, 378404323, 448558195, 399986715, 509066266, 479790354, 1071567405, 137135307, 878484632, 847738424, 869953331, 746375682, 18331238, 1008674508, 625272665, 777581627, 214048756, 422660568, 278118490, 819353178, 469085313, 804924904, 873651594, 172167304, 224128812, 412756141, 57506047, 219072236, 471525582, 480919853, 530475654, 880798178, 646734348, 604399938, 676170721, 265440600, 367323796, 700619152, 71816145, 573219565, 204082333, 874347730, 512901015, 630827875, 60293271, 155581277, 1050174204, 1071618983, 1051733771, 280030180, 431028047, 965519742, 480823748, 100209635, 651425531, 430742846, 767136762, 572061999, 1057531153, 64162116, 1016715560, 816596079, 198350777, 135623765, 808736588, 695051405, 644733716, 530570517, 341287510, 1055773674, 6971362, 429602507, 895926119, 86314254, 162373646, 171050566, 970354384, 729417966, 525912414, 479717036, 735127465, 913756390, 672062847, 276527799, 48062770, 1020391884, 303262855, 33577334, 153346247, 743305576, 943093014, 717233226, 132125408, 675677595, 457425997, 642807400, 1018970790, 172819105, 590815408, 306515669, 424576727, 200510914, 634361934, 514886394, 220970798, 658939180, 126432900, 591329964, 153737943, 162390423, 668811380, 325130069, 715829519, 399846785, 795505008, 516477751, 66624526, 161372968, 391175547, 831964184, 92170591, 1054129659, 841681112, 30951508, 150352285, 310695803, 952876555, 759830835, 309928328, 171145394, 95361624, 547126887, 806533426, 59723869, 235139389, 823782852, 367231359, 320120123, 565757496, 859750285, 471205337, 688760194, 634311890, 234238641, 212415498, 642661111, 1038192963, 934875079, 318587096, 965988106, 873810839, 483867327, 506616580, 1071065611, 206214260, 760849799, 120132083, 329440979, 742840966, 483589544, 299512372, 48494052, 210216053, 830875782, 224525837, 699441403, 1004016100, 700263538, 963444288, 847041566, 556495713, 130063912, 12809985, 472416769, 1055952589, 266837652, 713434741, 985897611, 337081107, 298700984, 533274027, 340215817, 210201981, 581267593, 774981390, 641603499, 1060044865, 1008818558, 407823544, 355086033, 127267919, 514017309, 17377956, 271758153, 375902563, 437068604, 572483105, 87392952, 501793560, 173298489, 1025496136, 125960310, 804773874, 1049576223, 899415882, 278214800, 678806568, 956733294, 345129111, 136126747, 49506996, 527437837, 430866899, 669497512, 29884096, 1071467218, 429386578, 308554731, 1010317684, 633966356, 1020526318, 538027655, 383202289, 917841920, 62095557, 432106081, 587050831, 715393859, 921291231, 118302313, 1043589775, 368626822, 950913066, 872093877, 585763760, 349922375, 714458356, 53880489, 72243559, 882513959, 430264277, 979030065, 95857753, 27581145, 847965612, 658524921, 195063071, 659074992, 212189999, 8691696, 69413847, 605324027, 710599943, 316049979, 288858037, 108645062, 779848234, 28867359, 187969090, 95431828, 456977786, 253404243, 479006450, 572556823, 152498068, 57216558, 637990470, 262475593, 967570545, 951070135, 674915303, 254216022, 1031058804, 792512888, 978942292, 119750911, 346210589, 803572699, 753950254, 33648311, 706624375, 539650805, 594413074, 411148491, 449520779, 998917624, 1006656483, 786934876, 342047171, 148229860, 378993495, 761225314, 359231726, 474066929, 128672834, 291191623, 71447949, 983743869, 174386226, 44962191, 461417837, 125468827, 1045534325, 47497110, 796338955, 650850798, 916158846, 444222662, 565812194, 475663598, 159103592, 798386128, 50712309, 1060453058, 705916939, 1049934692, 490032796, 17939234, 723422043, 811527423, 201985945, 896347352, 184689983, 647200855, 556668824, 116274360, 196754381, 123398563, 947338055, 1002233357, 1035204521, 52553525, 346192978, 842271189, 866785628, 63853202, 266640255, 495686667, 957299262, 821000094, 201863127, 640520655, 826183103, 672152976, 559004829, 176355199, 192877571, 391189053, 7234798, 100469868, 563871930, 694909605, 411247962, 819386120, 694192768, 573726421, 544652568, 848580469, 567246083, 1018808979, 223308616, 940466397, 455179089, 841566917, 866248889, 300922224, 181758031, 205045409, 93565227, 563694232, 437434203, 496385967, 792768449, 501640129, 905326821, 378879453, 46206016, 479687823, 556842551, 817498744, 79047930, 1015317912, 981940899, 543751222, 333527443, 818650448, 496003604, 955954307, 794481281, 60989748, 382492016, 349628093, 512529838, 1029979150, 420919516, 1022832258, 1069248624, 820149068, 561613505, 83510389, 710125102, 623792452, 23542770, 9155640, 587013087, 876811180, 502326732, 163106940, 415811846, 704072778, 1048690366, 27361691, 347414089, 345164219, 949725438, 182217174, 416343056, 267286715, 960900772, 331225587, 1039011843, 298518249, 959103405, 470010519, 466074523, 875874280, 1051790475, 941174132, 1026589233, 307937919, 812752533, 114937339, 541698509, 613500275, 1018926882, 180521589, 455218757, 323363259, 633378235, 352105252, 827294177, 403404935, 500971462, 361361537, 132621093, 1038042332, 395578071, 396857656, 276574484, 240578018, 206447798, 292584282, 835335688, 414109830, 795456126, 747424210, 804180153, 241197665, 426804093, 196872772, 313992300, 967001704, 209143443, 488911145, 168468054, 1022082570, 1066898806, 681061263, 711812022, 457831656, 362927205, 826037842, 386754109, 532444563, 895359568, 918845500, 927424016, 926828355, 920791290, 123361671, 923914647, 374486911, 184935650, 816749566, 575981755, 186478622, 50689828, 818628391, 981242285, 19237207, 489713368, 324571983, 414520362, 300951165, 447766074, 88919101, 745720570, 865574687, 412928202, 177196857, 274185049, 856516897, 1007785621, 636544828, 731688880, 394809350, 339339929, 866990461, 1036995708, 634691502, 428928044, 442868401, 421805777, 201731889, 689191483, 121471125, 341198961, 120394456, 454020192, 363146202, 738803637, 582517575, 773345263, 256933068, 515962437, 225419395, 710805508, 171907708, 1006831259, 542099772, 869485997, 621698669, 560117630, 606990236, 340278492, 570704342, 173369329, 775584042, 798888902, 1063791017, 754298927, 36150333, 888009720, 672468780, 216406884, 844815931, 12407880, 894686134, 82486810, 1018484623, 1058235196, 976094384, 259076214, 131533568, 897563059, 671955841, 823367953, 781805100, 9335617, 915254292, 859785980, 883247679, 532011021, 636939216, 978801033, 1050155260, 617268607, 612337536, 423611547, 95904048, 357644950, 563352443, 22799167, 439046868, 141310004, 506337271, 585868907, 820929800, 91473462, 297156090, 229226350, 562335495, 203250924, 532871098, 907008570, 338125895, 371159019, 78634247, 978213650, 805971929, 993655330, 960350552, 191292685, 1004377123, 806377844, 27211999, 355147781, 742864980, 625898867, 160195912, 1070047823, 810077441, 708613471, 86527498, 573288115, 119859206, 163173655, 164850475, 961580894, 559981894, 786154201, 537621984, 20503462, 799698703, 573048130, 256471214, 454441592, 731523550, 459584556, 816586931, 394476020, 937419188, 216964278, 183483042, 1044648260, 19302390, 395413848, 236689162, 931451163, 679275247, 975744992, 632233043, 1045009887, 600764799, 552778317, 886707900, 1058363842, 1031364113, 197209097, 246246376, 797962772, 599833062, 879461538, 311943967, 218431079, 949718121, 646398005, 217577509, 152544946, 401457825, 637626065, 877629639, 589983552, 745666166, 292552081, 348589177, 56818704, 294008788, 409947281, 848957413, 1062695399, 980414791, 915612220, 103304277, 53642697, 49295173, 407453890, 195449295, 134492808, 894454081, 678835133, 349654837, 155817223, 471077142, 1040915989, 818063311, 682742731, 328853148, 413106556, 829015074, 245019720, 69981559, 434109968, 1032133781, 14237147, 1028448457, 98152905, 880127597, 283728643, 1058864082, 384147294, 424226434, 825071903, 496860296, 471782620, 311381872, 701009532, 707615667, 1042158574, 799023706, 498632181, 423930355, 343705116, 995271248, 56950338, 301145217, 418659437, 432240944, 898204719, 169282924, 375037455, 256136561, 264135101, 212630523, 691441145, 320471802, 786102367, 872191249, 793327290, 209467367, 1000508204, 707312911, 974422381, 194781895, 1071437187, 226650668, 1011116197, 674757156, 989624635, 378503340, 443253268, 361976934, 381669034, 684504424, 915178290, 709070567, 238893571, 438370817, 574644409, 978653090, 450193080, 317695753, 350708108, 128776177, 105822037, 864572090, 551532400, 676435219, 940786236, 154326732, 27365427, 734340833, 310032895, 758105765, 474905563, 277129899, 1062926126, 698797644, 482701308, 481324109, 441460899, 167889844, 997784228, 1049078991, 97544950, 443891167, 424043817, 852401375, 25630607, 181796086, 1029985987, 159956970, 289752929, 963040571, 724311919, 865386224, 583230537, 699339718, 167994338, 748058889, 428650969, 328717476, 875310075, 743286995, 505678958, 98319599, 321979070, 924133431, 790837966, 197952192, 436247022, 339121011, 782716130, 61844165, 406699491, 259250818, 612775259, 108421454, 802506357, 611228677, 688722057, 362081183, 613993308, 817845407, 73474773, 912837047, 167393129, 87018195, 2975146, 372309615, 716333903, 9238436, 1009995113, 903641804, 176325277, 701207829, 46580866, 111167076, 115008389, 829617646, 523593780, 72030224, 622344628, 697672164, 851513081, 214685046, 265392319, 318145028, 369837350, 195855756, 860180173, 503061462, 783000377, 750322827, 1008448741, 804144122, 945803024, 264892088, 563972693, 570935731, 723164673, 377760044, 880059133, 353722222, 320624215, 309449628, 31584719, 587577236, 692392309, 1018582826, 671781915, 238325287, 962956871, 991570076, 602589667, 292827693, 559191181, 877770652, 533610811, 847140419, 70078733, 1023370714, 588252818, 772933877, 485943789, 738888800, 932919315, 637716765, 1056464765, 75762063, 85931206, 204637808, 572776209, 410922355, 225395351, 693283224, 119351618, 92741921, 593332502, 28069622, 977564970, 353793313, 31001917, 213837876, 716972370, 718609383, 681936122, 653885719, 838106215, 453318026, 468648710, 453460018, 510733916, 824127309, 514756948, 427715851, 721740691, 299831762, 712131016, 240736258, 300837804, 152556467, 7251112, 869458851, 447729682, 1065341535, 1017978540, 338068493, 166952573, 412620709, 377226539, 72244862, 842034899, 543506432, 1049376777, 145278256, 106788743, 249686665, 213187837, 508231019, 1040162482, 1004777507, 139246000, 514821328, 1024939875, 826896490, 831857076, 454304583, 318784613, 384234740, 357015096, 60685204, 991106915, 366298255, 415812851, 633856966, 629571046, 144561083, 882854941, 942534332, 906308081, 727930896, 757127318, 164795616, 717639853, 896395453, 739442080, 128915044, 147208186, 233479099, 548283061, 1002288733, 432924139, 126946796, 11299255, 136778386, 610817810, 995688207, 37767246, 911249349, 444261675, 901145180, 914678087, 634626669, 41384136, 646723561, 17307154, 318894147, 899599949, 77592202, 369459996, 97689130, 946080220, 1063966877, 946451757, 227181768, 635774796, 229837981, 115446252, 1048657109, 390549068, 191709894, 729551436, 935430141, 909454263, 982641917, 1070493868, 465974446, 313731576, 707108252, 134569436, 353949820, 475444148, 211720683, 27205899, 219310492, 868668307, 492169564, 960002822, 801177703, 732936978, 156993380, 967495137, 544135911, 912674240, 670744718, 172158451, 336591731, 281514660, 1064987174, 528799734, 387948049, 907965222, 716473326, 259057777, 704438807, 341556718, 565406200, 483601917, 528697474, 210469350, 965434691, 749717729, 646476749, 60879250, 996691280, 942144732, 937956345, 730546834, 282976070, 788548936, 100211112, 166002436, 775085069, 403328946, 892879763, 923115082, 1012849896, 817200962, 277091459, 208306299, 470307444, 507442820, 417478541, 1006277192, 203116199, 2064900, 954255069, 280271798, 1002583279, 182577386, 91811117, 272972897, 161028111, 635894707, 546025416, 19035761, 215161744, 586388648, 463064424, 770360683, 395780307, 379578855, 665454475, 49147719, 877978872, 635594650, 975595334, 123938677, 83171558, 363217909, 545362828, 113514017, 241088393, 882709867, 420749666, 156652570, 70479052, 374183710, 1853992, 138402590, 338895637, 1048318282, 835561540, 291688494, 188058512, 127858566, 452737962, 40372076, 7990874, 741285313, 932518935, 811373245, 640706171, 31158001, 743999214, 531781152, 552084821, 1021066303, 1007006140, 30682024, 28693551, 829861540, 948618414, 732759751, 724538519, 583307722, 387229317, 914476140, 632291312, 421634435, 639625410, 108035422, 182585263, 763687846, 252291656, 1059748862, 187530382, 96781146, 445610050, 168283684, 654756528, 297709718, 75074395, 169138287, 1008323856, 327722874, 197065655, 775081032, 323685626, 557393535, 945095072, 746723373, 342688638, 932569051, 216096881, 540142561, 669983514, 650299475, 232597214, 302928508, 995819719, 626090918, 92427056, 106134793, 456229711, 1053502653, 847311404, 406800531, 886924143, 102174702, 561484564, 234342425, 823054092, 616820781, 999777887, 559428974, 1000097648, 450706318, 864785702, 111531459, 180762473, 965665293, 595663806, 207180572, 446917168, 300599610, 711897396, 733890978, 393794325, 553089315, 865777837, 173767098, 171921140, 879298058, 603491923, 44071855, 684813234, 47821058, 387885893, 724264703, 1030975923, 244218232, 442532386, 271126777, 479792381, 244818149, 1025773779, 162113475, 729425763, 409836668, 614670631, 567203300, 953623762, 161405553, 395646139, 135185074, 412843677, 464977564, 827577794, 197339625, 743497267, 725050410, 875148169, 419403971, 275666508, 218222189, 680507916, 651280527, 322276264, 830584666, 686153188, 573824461, 708740104, 335626076, 354532612, 873018550, 954848543, 971110254, 56911307, 308906078, 583867510, 284828398, 846603449, 677847653, 124830474, 736535189, 133030245, 221494835, 217491944, 727175738, 1001605853, 759394102, 500958026, 89595939, 7287493, 491982322, 527221213, 165542172, 477783594, 598438031, 171878907, 433612227, 813559386, 538636187, 64474231, 266502403, 274897167, 422094126, 1068922969, 511139071, 929019378, 1047693409, 289665544, 524215084, 292039538, 649639759, 40733251, 998244827, 9531968, 364977628, 517676658, 770114182, 965258758, 394396852, 642803420, 947337463, 741366555, 29055104, 1010749451, 745163096, 158221431, 294738003, 788918879, 788056347, 248129549, 139110505, 1038770456, 382879470, 971939198, 297129402, 592497923, 337325553, 797937364, 637171013, 489761031, 1024510112, 1054361194, 11718320, 990025573, 1046089839, 917960849, 313049898, 12753943, 382100021, 159338608, 90140010, 20901053, 147156824, 277384689, 652898858, 991003666, 658868537, 675440768, 137139337, 253341367, 502081895, 141749424, 606586676, 172621682, 244158168, 283774942, 23413503, 876945291, 204458797, 866351902, 140574556, 629291642, 67365436, 985059834, 18282328, 321308738, 796265434, 1037332054, 799256623, 565923112, 987920365, 1046654247, 103848498, 1035352023, 386774499, 159774715, 748402631, 879549322, 870713234, 552983990, 951742348, 295081652, 221544018, 384466919, 904357541, 833061382, 558161564, 939486805, 570492988, 641990549, 997280457, 936298323, 113929213, 898090861, 284161290, 829989409, 567528727, 932155760, 25489446, 558907583, 230422583, 615618854, 316361664, 912235680, 761546215, 519630060, 892587678, 782102816, 326814728, 233313694, 331699135, 498888165, 528674567, 656935245, 484997835, 925811824, 787906074, 888580416, 294641105, 252423637, 353059619, 1065826124, 965671958, 268806055, 89515737, 952719512, 920257442, 618627895, 781182635, 1020310336, 842284468, 1072055212, 879597686, 450447000, 123287174, 324184332, 911809288, 87930408, 735214724, 703358010, 903026758, 16192314, 740399233, 320336043, 191725749, 340401486, 1018088195, 932517796, 426260739, 871439156, 346450529, 20248623, 257400284, 416846105, 919064287, 188065784, 70931061, 156686769, 578103537, 689672900, 1021674231, 307835370, 482372103, 83838745, 991590554, 890238489, 420942448, 62530311, 1042937076, 995663293, 973412595, 602006404, 873474613, 158566224, 723003183, 510194855, 622360213, 1030610964, 235327283, 124547655, 47722465, 624980357, 872961406, 1010065506, 795621978, 580516423, 578761110, 51868306, 541475900, 1073336828, 938151058, 880041467, 993923392, 553642290, 793515678, 20545022, 432237799, 351597898, 1011850186, 421729600, 405012390, 1040141077, 958119823, 374821662, 216751306, 497538316, 628033146, 464848272, 114066792, 820339142, 455688853, 160966815, 645967738, 143720459, 215191764, 831105120, 722950746, 105058173, 1413335, 858024142, 430152045, 206316145, 135811088, 713824019, 395569775, 754973763, 807860190, 849923660, 471436390, 308166876, 329990945, 786429109, 256955439, 345753727, 764189726, 614053995, 714983760, 551217688, 22320520, 869275093, 666510989, 860498202, 611793093, 173804432, 983754922, 874990416, 373008977, 813001025, 550922203, 780843705, 359539496, 436953627, 6903126, 682669549, 224809768, 409498471, 749911878, 186118522, 553622818, 821330241, 342714160, 741970678, 614789082, 706417259, 756055459, 549435409, 707026072, 277589494, 327842181, 261770877, 839030590, 771650036, 931822525, 966630916, 419731766, 532103042, 335509390, 411694371, 392253757, 385592984, 411215153, 997458597, 503352138, 468609997, 512733517, 756480058, 986253893, 753609672, 42198003, 641041511, 512893698, 822861335, 819512693, 755241693, 786594694, 275809555, 277970930, 879464143, 864979533, 800634125, 231746831, 1066797601, 438741544, 1024580337, 701151712, 853276896, 100355874, 348679479, 301034848, 319196081, 152120120, 379267108, 204604384, 864665319, 134528196, 313627825, 555878818, 523220449, 23165319, 831224586, 717379326, 726010801, 145363109, 560483429, 50059148, 84683067, 61217033, 546670361, 795582799, 660693006, 643141982, 63533850, 614445677, 1055784634, 459106342, 1053738873, 743221306, 232282082, 761538552, 541999287, 1063754965, 417305687, 356197495, 519552175, 881106899, 520115378, 694329323, 369488609, 207841104, 377606137, 319020195, 590168304, 370367198, 579286043, 956873488, 679891808, 355008989, 765521620, 377418503, 1052452491, 754828941, 361617356, 119646981, 368254877, 277535538, 291246154, 953159663, 110254721, 287973020, 554881677, 555557076, 835231350, 500192574, 657101402, 642545461, 781517048, 16965564, 286201121, 728975400, 147011470, 465535138, 74317035, 522068931, 743987368, 99782473, 82941733, 455302043, 768629234, 284405736, 986421559, 759306572, 740549712, 522279880, 23092628, 852041119, 342303229, 973540149, 742195525, 769833381, 903216027, 93254332, 1014209048, 794078715, 913926996, 735983703, 683288425, 548471662, 343829318, 541094917, 614129501, 80938864, 444510207, 809332913, 268683495, 866728415, 69973852, 409540782, 874922822, 847358055, 675883837, 499003401, 351279747, 105432527, 223807125, 849224006, 449747650, 226862786, 707060507, 1049448268, 341983398, 885898133, 960151686, 788221765, 128016172, 564837676, 412859192, 43037599, 273139390, 776896857, 969473258, 518231775, 653688835, 778963827, 568302423, 783905287, 991527503, 589799848, 957432337, 54043778, 436210482, 533054653, 407239408, 748901341, 503213609, 172044509, 280861253, 459060834, 884740326, 743543977, 534210253, 595336435, 75258158, 785418500, 620595654, 132166232, 1002575326, 909379664, 817297766, 357711945, 437139825, 134670304, 978811167, 1070592337, 474322700, 280277650, 828916442, 91528763, 494646110, 807711867, 704535640, 29261451, 349335292, 64273785, 91964781, 436670968, 502274282, 511834189, 480287693, 7219530, 926341354, 269922277, 679705258, 371745652, 234700561, 427482080, 738934603, 915422984, 717465530, 504090094, 291462796, 628151746, 1048956558, 473323716, 80645901, 815843046, 917811239, 209734860, 628221714, 884214252, 1420812, 298799197, 195291584, 626007176, 489863277, 391437249, 20744967, 724653513, 508142127, 813314277, 111060088, 370015373, 202378910, 1064205947, 303899862, 321962351, 310439738, 10488528, 141230335, 219049305, 248698813, 379487718, 397214221, 194950306, 1043717176, 644045066, 622516863, 610374952, 5629078, 896355898, 183490189, 270494554, 385590956, 1005898794, 381672172, 584783623, 520871432, 953601270, 825623525, 928194513, 691190434, 738959991, 354071608, 875327679, 518406526, 48090591, 721627812, 1014334392, 339196359, 78459558, 1012680134, 493146376, 737382219, 381363944, 313385056, 974909995, 304150553, 541142025, 264765225, 591234706, 450575694, 260146779, 778065077, 302456133, 1052379886, 1047121077, 9422087, 211625389, 64866282, 947426088, 758153295, 353216573, 729060945, 1025324178, 495856241, 596049273, 987995237, 674758820, 833900769, 285300457, 304908768, 194180342, 241677315, 712088553, 445538431, 1020163103, 195888516, 380728601, 526701397, 816549386, 769050591, 538061575, 394408237, 159974105, 277138965, 817348974, 272006194, 527727260, 543890882, 996534991, 1055499645, 547597551, 790760089, 140290050, 459693891, 509314539, 119250764, 876518521, 304368319, 302337151, 385238489, 1020995633, 523774430, 1016691101, 653697312, 729878211, 780976691, 1046235279, 870202904, 172931959, 1056579667, 127026369, 940320781, 131516222, 487978537, 477758219, 555858128, 48695283, 471317852, 471221964, 281782752, 320539540, 829053933, 993635527, 53099946, 369700052, 433824249, 364058062, 606985187, 1045854542, 607878211, 663118781, 82007669, 260902972, 8905619, 526203844, 86465873, 33619422, 313647310, 49782459, 536448685, 1009970425, 400449317, 914862188, 747837413, 98796566, 60171484, 412651287, 66211282, 570624025, 910032960, 258432212, 958542575, 780514754, 26432468, 773342685, 105361697, 697085051, 171342718, 395019253, 487119210, 610283683, 1045801040, 198046212, 562090614, 682993629, 1072524597, 7450267, 1022329629, 388226103, 742822549, 323690007, 825240910, 81878426, 893443872, 368623156, 343200193, 934184586, 867285706, 243677148, 528314538, 586283337, 574367845, 386588177, 59765269, 691775298, 1067094019, 124660505, 346079434, 917342462, 48557455, 669992387, 961141272, 674680573, 634428964, 443926763, 706466117, 818626404, 458146314, 766389438, 641368243, 213383854, 701176069, 141359842, 208651144, 1072835211, 1073662459, 792305558, 322879730, 303851871, 752668896, 191453284, 737347458, 452580762, 296615973, 481777558, 188185465, 537852918, 263686386, 824151424, 907571939, 875168046, 1052608539, 413170621, 754298615, 107527907, 471914621, 143323467, 1050227772, 624650846, 859314819, 671860928, 568152801, 145741963, 1028260281, 769822418, 51609681, 552933645, 177899822, 194445539, 534755205, 1010705045, 1027554512, 363075147, 320219732, 901222902, 682939501, 1015102311, 766750140, 354608692, 434072891, 36509499, 1058531096, 413571601, 919490556, 632579797, 322337112, 190168045, 709955421, 960976236, 782525561, 733282374, 534497305, 573253634, 817417322, 668999988, 302545842, 501279023, 154226951, 1022945737, 370367512, 124260518, 544991081, 73559023, 287244245, 611797715, 869791240, 1043734884, 436385120, 1073692248, 169968661, 387930386, 1036538537, 95825488, 919049763, 600041734, 583858898, 1055042218, 1041738129, 261929664, 120611041, 930388798, 733530333, 425263629, 389341871, 888750482, 339425533, 970658405, 766885215, 536473798, 3948310, 1025372211, 707472536, 120899157, 356812325, 1034691047, 825361204, 751316538, 664638835, 369317176, 480575279, 994221788, 322668082, 339527558, 435527599, 92139805, 200243421, 247510464, 722620029, 517588917, 155696469, 118460163, 953888204, 411210095, 638546583, 562369714, 97085326, 230288384, 613557787, 899337687, 322035771, 498566177, 895203561, 267871198, 1040758027, 92595335, 471087653, 303675934, 732997431, 493490128, 125976316, 746315026, 665322774, 969799294, 736581495, 910094924, 305450136, 204501702, 359215356, 895882522, 835397827, 1009397540, 500451943, 388782364, 553619330, 420055175, 83464532, 968987596, 75901489, 594503666, 119694237, 537420862, 691929640, 751858642, 452730761, 437271842, 325848646, 241000454, 388779742, 633288003, 693441090, 1016983537, 869623607, 784169654, 405780738, 538180775, 950463242, 619378997, 156535095, 818213036, 985243436, 658883285, 670731867, 16567676, 300438169, 560169534, 951430474, 78685043, 693246676, 518729489, 488740495, 941959001, 659180816, 540226831, 409560378, 587360688, 1023082804, 218971092, 520749230, 1044481891, 502257323, 18965100, 362311179, 370165613, 480987343, 289418907, 186208646, 149641716, 454714349, 767982195, 861284827, 517849271, 713745620, 860300350, 164743909, 406780272, 750999390, 496966090, 891845939, 198580048, 776263213, 273247336, 585099994, 528037099, 1006357596, 273433415, 676167762, 658167108, 326138798, 599288399, 195809184, 918850593, 753451096, 15563126, 792752834, 676037520, 291790881, 293073573, 149250830, 778958812, 245326761, 469322828, 895769876, 13696519, 940405193, 784806668, 474487037, 339030703, 473584675, 642982919, 873444374, 159595395, 315920793, 772386561, 229220621, 545864490, 723203409, 782823415, 195204970, 749698482, 764031483, 343332657, 750582013, 580864407, 354648621, 734537654, 385343128, 87200299, 130267943, 155935447, 138128782, 757289821, 587425488, 855892266, 918302655, 260285692, 976873871, 375817496, 254840647, 52857595, 623380772, 355022188, 762300177, 935352381, 227039256, 507606891, 382495187, 181377159, 567954552, 165792082, 889924245, 597638233, 941723852, 419311913, 348838647, 189323591, 134767847, 293878070, 121692969, 364810125, 831157062, 40657420, 24643026, 617580344, 573058925, 1026095233, 590786594, 286727111, 594212172, 897957353, 749537815, 35884102, 441752429, 60717028, 893768144, 752174994, 429055924, 317689324, 121298233, 321359466, 67080979, 360036431, 828502055, 691328722, 316297233, 165358879, 424285972, 408328537, 31090324, 554779614, 318840722, 867449206, 61641709, 313228239, 887346277, 2925791, 419138514, 384204465, 769793565, 18433423, 990604054, 695174103, 180949101, 62917959, 289290463, 547925454, 82377534, 1007852617, 738303330, 85659678, 977665676, 839234650, 405858107, 673279299, 283811534, 164534193, 247574636, 724106989, 71871961, 960020178, 313799081, 473982278, 456092401, 932308906, 814319793, 645733523, 282003054, 428368917, 483938977, 1070979088, 512552108, 208917604, 784878043, 795732559, 640299433, 590396246, 411291899, 820406776, 428602430, 333327470, 983615005, 431320739, 633061134, 586469436, 26153769, 446245270, 1030085691, 947524625, 172950004, 352707841, 673785044, 651617547, 891716086, 440300221, 228522390, 295054018, 17940718, 503412329, 1012228137, 878880019, 908672882, 230727417, 346547335, 221324353, 811193734, 312000675, 419819468, 378689727, 239259591, 287924241, 930686088, 725439928, 429973502, 982444135, 1030535676, 446982707, 1044976472, 418860236, 99419783, 186059289, 286640149, 907851864, 581621782, 299057351, 331791672, 879517855, 699782699, 283573515, 156388527, 270839318, 739784563, 39557965, 729944275, 860157132, 382311929, 860837645, 479391637, 928713107, 152921363, 982599129, 519323586, 504088992, 518535385, 734684462, 888021684, 507419968, 304094673, 155287527, 518600940, 407894418, 812299838, 846532500, 942758554, 513198195, 578249523, 367489522, 861194130, 432089524, 1028952806, 417965591, 664160370, 289357358, 389243414, 1018184523, 143070464, 380891065, 849502114, 996844768, 65917358, 496077175, 455075941, 618958355, 390572364, 857960966, 1026549923, 203693463, 566589934, 288965459, 346258788, 18235237, 270536161, 261061705, 313229673, 840449825, 1013698944, 517759738, 411426564, 177718231, 1026741114, 594404939, 850017066, 719615593, 660464535, 755584195, 322649791, 59160419, 839485463, 117710008, 932986324, 609470207, 540494299, 824765663, 397628112, 372112813, 752023529, 163327596, 838771958, 676107669, 96708440, 1669105, 922521766, 580561492, 707202191, 912332155, 587214437, 859332050, 152889157, 421525116, 296812793, 612358186, 863801873, 77525557, 1046780705, 839692804, 890515490, 650858805, 839484262, 953314126, 19197409, 48482410, 328770152, 385635632, 50600109, 1064726181, 901329157, 880733069, 290962428, 46768060, 674425528, 416451249, 836610380, 850651744, 231345832, 59961428, 1001978626, 664649982, 129066134, 782677506, 150462954, 215629336, 440768666, 203202413, 323815838, 342361838, 975945944, 305955006, 37222901, 516071208, 1000873541, 1030274909, 679155218, 198243246, 143489218, 387412247, 332293372, 802285346, 734573484, 499863991, 725385602, 109436459, 403909715, 484308890, 870673102, 300168119, 108659727, 864126950, 538122672, 1046449377, 742409535, 984599276, 651859403, 370933584, 52632207, 65547479, 103657153, 216710553, 93151744, 956076124, 101956510, 714538995, 523510049, 187794821, 181412174, 721839105, 285126160, 468131375, 61262038, 225106840, 412600785, 868606383, 13145131, 291112425, 789685474, 462086142, 758092069, 831744733, 795481262, 744956400, 302744458, 275986206, 971341740, 135832191, 900215382, 731609981, 543937004, 546475305, 637539212, 889447705, 936654626, 972617251, 453002741, 90874954, 633559725, 196119565, 1060633644, 408569263, 48987353, 92529120, 925622212, 966678916, 969757175, 840556561, 651747412, 734771942, 566439498, 959909690, 107484833, 931034016, 153632021, 900278874, 519114355, 607136690, 540546564, 999078367, 904044154, 180301151, 796590744, 839953502, 70575279, 402100877, 952221925, 943184374, 263083357, 523134681, 865386555, 310203751, 233139703, 164259114, 827685957, 378933194, 860977510, 192520181, 53233227, 929929127, 595034521, 164569562, 518333835, 199944460, 630165561, 120375763, 1039451545, 157255945, 275771730, 543827036, 809270505, 341737319, 481534069, 162794099, 774056289, 107660826, 64383568, 683082446, 836476413, 645531222, 121364152, 259531636, 1024967511, 1027996141, 336311649, 350532318, 344126980, 558435174, 37914167, 733469347, 61399657, 161245697, 963976070, 204767479, 560850300, 638941648, 39845203, 375785610, 453681993, 517742046, 333972965, 698506915, 117976310, 679547681, 705669329, 729683451, 709963484, 594549491, 38357636, 408010288, 147140786, 411116740, 549361314, 45995669, 31146316, 933961152, 265797771, 802651541, 844093926, 760857886, 784167949, 252992350, 853231421, 318914013, 66636796, 482324814, 609323557, 92801283, 653079229, 604159263, 934715882, 771914, 94306071, 825562895, 63560307, 705241531, 754881676, 960722828, 406642934, 886732167, 514220813, 733011996, 958173194, 636784591, 855329003, 554585153, 892260515, 597420141, 815184369, 645205920, 562391687, 509830190, 162700411, 887871747, 981888560, 81433465, 916028411, 220847126, 819580451, 181523352, 78038000, 83752973, 985130803, 1020399094, 189629739, 592915854, 371072621, 616786474, 772509037, 120881953, 54899129, 416717611, 779120865, 319989130, 674540975, 149551554, 600397108, 536777355, 680636861, 476849912, 609445854, 116053492, 510731552, 584090814, 330327899, 717392229, 589123632, 379736955, 120705204, 1051367202, 414589567, 323904775, 1001840441, 770267194, 1025083432, 12292982, 251471842, 879716541, 242005479, 934802247, 146867870, 617971741, 257297915, 572056163, 708434022, 339358742, 184081697, 872960337, 123432945, 979948628, 782734677, 368304624, 570538813, 88603584, 79670284, 629764988, 939070437, 556244096, 204242738, 77379304, 777473137, 1002459091, 359485449, 814220348, 662642262, 620309055, 275521970, 413540792, 937771742, 802436791, 154778907, 733389861, 37668244, 66318154, 854674443, 522062956, 74102269, 702124580, 183284086, 908399397, 209835804, 14766253, 166812311, 120218543, 928611650, 962727264, 420562168, 915350531, 764006146, 997939061, 163386146, 913505448, 310134835, 338473508, 211961604, 545799229, 558083785, 879492931, 407419709, 165808032, 137098553, 384141399, 549063846, 1026428811, 504501906, 546011272, 681709645, 853999574, 941405094, 763424643, 99188563, 615773900, 640368446, 556210348, 83303898, 499432314, 421489237, 285884613, 792196252, 185788041, 910095475, 364443410, 21821412, 272887799, 341518926, 670795858, 286235928, 591455695, 112650340, 369378596, 502940319, 96061233, 954554834, 750372661, 360386840, 588624370, 898965490, 416091236, 1009173622, 241434844, 458430427, 424389246, 611905025, 753598000, 541303966, 126148087, 948733458, 955289957, 819109555, 741510584, 660933151, 147331313, 62301865, 943692, 672106167, 253028019, 1073153167, 284315045, 973820586, 158125750, 32778475, 103869421, 594195086, 708158132, 157181996, 574615044, 54493535, 997644495, 566180993, 865259954, 911195793, 1029737296, 875667829, 422876865, 307742973, 560013518, 348447182, 885127767, 195767329, 864248086, 1044471801, 261743019, 823838910, 257750840, 103361452, 477148839, 239749064, 453152699, 901457749, 147615760, 557027582, 561978498, 743027771, 1043361587, 828521055, 531557649, 210716411, 245576066, 399470971, 817888726, 1904154, 586444270, 94750854, 735839047, 1811952, 607125746, 905671989, 42567499, 1061527391, 1016330787, 1071894069, 600148844, 610112900, 165943855, 44813058, 193445457, 812696748, 321677190, 836194234, 118297237, 644093236, 707413885, 78053782, 475275340, 935099678, 137849416, 887353832, 179546921, 605866981, 1045985051, 155087369, 200826324, 571237783, 502816589, 527415463, 581853123, 628525740, 949261948, 263049674, 301964791, 556529306, 46267861, 706223117, 238710741, 919935389, 609882772, 767632786, 210779329, 16929228, 174687391, 731679073, 117751321, 416888765, 895159929, 1057087936, 837597357, 110993845, 534004751, 546164333, 891868962, 216288043, 636294834, 737926352, 361849761, 13743441, 295479455, 739961538, 959575916, 883569356, 903780659, 455935731, 262120040, 460861635, 588386971, 422270402, 377321337, 640637375, 168988541, 665296495, 556464399, 902101615, 190619557, 93262562, 14333901, 851331517, 638758101, 179965642, 176794753, 280977278, 683044665, 764380192, 1057824946, 529422077, 524713564, 634694308, 1039399495, 602983416, 962831885, 512638928, 890319423, 464251807, 93909918, 471845748, 291637691, 1023639013, 534962996, 538896494, 269497971, 471998667, 286555014, 825868180, 943490267, 945156327, 407679800, 603779346, 617448342, 746534004, 141443505, 47919601, 918037981, 31065372, 1017372672, 308606590, 345286888, 44027440, 642252488, 970302697, 396501805, 209172028, 764424462, 515439093, 1016612562, 584387204, 841706480, 879766929, 6671322, 628018623, 855788676, 59876398, 384327046, 544191913, 719879785, 88828480, 31186490, 997496072, 438435721, 621615553, 150665600, 712408449, 339993308, 681547828, 501969508, 180629031, 1011280832, 893663830, 740940476, 197430503, 225795564, 393906132, 1019703946, 839174822, 335101874, 360674535, 93252490, 864909516, 903726778, 898558606, 417061157, 800871969, 871534330, 422714019, 70625531, 203186655, 546350226, 68616743, 499148580, 816925490, 530695553, 345426598, 579707849, 583798412, 979401132, 733466682, 265490170, 432475789, 608929915, 441685954, 449093121, 334730786, 942195906, 563244916, 279514730, 790025848, 311631928, 368300460, 1000557328, 160093605, 604786863, 972002931, 696905774, 268247077, 906271637, 859199395, 1050729629, 27758350, 415432267, 998684576, 996217230, 727236809, 579095628, 766450597, 214014031, 1068418067, 654709578, 816802895, 838444025, 1072570247, 548020031, 1028476349, 892483157, 1008743138, 473664304, 158511572, 808343098, 1060106829, 73271387, 984002470, 700084155, 203361048, 884149741, 689527834, 123182728, 142694821, 773783133, 598592945, 925626941, 257897695, 588056427, 351373699, 904614997, 780083056, 710422912, 936666460, 571976465, 558930411, 489040941, 588146105, 982542557, 533551715, 921586834, 873186952, 1032234424, 762164921, 783098325, 543908942, 350166198, 224792344, 383383904, 528731373, 723817307, 708992558, 343936434, 893011956, 1014280604, 336318856, 288560276, 74526885, 624096879, 715754014, 135116185, 1052850919, 923606074, 394523046, 77520145, 623158720, 434174046, 150335563, 426965184, 483474683, 582469884, 361930357, 563980240, 722376027, 516267657, 689752056, 334481485, 928464728, 967611029, 292898369, 299239792, 526643956, 1060235856, 292454321, 495257280, 891993373, 512200983, 301937848, 203910769, 1039232878, 77004399, 980132029, 665042534, 974153354, 191217264, 137223633, 930861848, 715196120, 995085184, 100246957, 48847615, 879923461, 835046417, 143825208, 32336971, 657393966, 927350381, 1036884542, 143585281, 851740802, 246795304, 32708101, 510254252, 86531254, 312604422, 990927141, 395041602, 888457330, 899870915, 450062395, 921358030, 915566054, 227194786, 901886354, 716640277, 393997253, 827658519, 89986920, 211004805, 634028093, 888074454, 1044904720, 796028079, 228363832, 434435348, 1011350425, 606193908, 200720777, 483028724, 408884249, 86455452, 45424854, 887793816, 78183952, 765370818, 941611585, 925132911, 760380341, 152713113, 651640005, 688655876, 218570031, 749779848, 93477799, 56345269, 216441604, 21050881, 206887982, 678894483, 1006586769, 913918647, 540141781, 886569612, 637288007, 803720687, 97180913, 712083658, 417205485, 512957541, 726772385, 511162383, 724739800, 999480297, 18436363, 573072299, 583453419, 56247155, 602576644, 123523232, 640131854, 332836882, 439343825, 151967180, 314346303, 693061428, 894658775, 1029118842, 1021580046, 235715878, 122321621, 891271241, 284152719, 323472321, 96121110, 187134631, 57713996, 4215248, 1012278001, 910037733, 979530404, 1060229876, 860312299, 1068597800, 11334479, 49272186, 235948792, 42749850, 178681278, 182763085, 379797721, 673863337, 324761829, 122019585, 1049979119, 90576270, 686368089, 162360541, 893714263, 829703778, 202175837, 741289022, 240504384, 49836395, 983905389, 607779326, 1000193596, 75538083, 992673675, 809054488, 700461427, 392844800, 477518731, 126117121, 621092162, 236369348, 890218832, 532409677, 684239696, 39697301, 271242485, 887596604, 660832157, 573725711, 608334617, 924503098, 227104883, 257764815, 1016486642, 27100021, 869430320, 37625448, 345855506, 582121499, 3219275, 743117049, 390883821, 1004301892, 545780358, 77848396, 336566743, 483670798, 984147305, 487418912, 240139201, 192603559, 758568529, 208042587, 814160702, 103322261, 261274625, 323835310, 416199203, 749341299, 574751076, 430741843, 318240849, 581635048, 221451213, 588623987, 811926612, 561836322, 633200450, 57811753, 480208250, 337742940, 25376767, 41710568, 1066001421, 470019731, 586898255, 40981026, 180051582, 340717851, 381230013, 703524907, 228238907, 98678105, 96008180, 805308672, 1053676100, 216120756, 518058480, 978216369, 152903552, 603824582, 581703550, 133284524, 808259077, 84535441, 860262940, 1006152148, 31495608, 906012869, 703515265, 992752074, 1009741540, 592688564, 222730642, 610902902, 551637097, 535058439, 892554987, 249196612, 301208033, 747732727, 1016895059, 490198371, 109186780, 117693673, 1027497573, 277901788, 265461247, 487145494, 753213704, 507230318, 170346543, 246366924, 74497647, 66108972, 800178987, 214971487, 745122140, 1006695355, 324357985, 1013884612, 546266149, 191585380, 431750617, 803220925, 669988629, 69432624, 839425603, 336634888, 295711941, 581339929, 851599688, 286695686, 982764230, 113840617, 652484599, 740095955, 703696641, 37747159, 386360224, 860094945, 750445428, 749673632, 354448956, 67760442, 452089710, 644622427, 382836091, 714326986, 16674300, 893985173, 141306060, 979966366, 396810432, 551636194, 228030874, 517339857, 637462467, 894123564, 350905626, 467819872, 401371738, 733318533, 31467334, 1065402217, 361036529, 967997986, 44981617, 864028752, 285581984, 950100217, 95270815, 104248246, 326754781, 275686464, 832100092, 201484092, 365070484, 525940189, 906546094, 42945196, 354214296, 54390880, 280829651, 317781902, 945284378, 224614103, 1018551807, 960527415, 515046441, 350678552, 36136195, 752385391, 1053949150, 243874288, 653328102, 202908991, 517336819, 391148822, 289432753, 462515605, 55815181, 980018040, 798426752, 815156166, 294051878, 809214561, 875628907, 213882713, 547809531, 148261595, 75312455, 399333765, 272022854, 339829575, 749315794, 99958001, 850128636, 476282411, 809641627, 796073517, 409733907, 518359501, 549297317, 54794361, 324703344, 517371468, 66573434, 365455055, 243326271, 335212017, 257272543, 1066773090, 266427821, 1032322730, 972332187, 847719722, 953458027, 514446288, 676987410, 973898111, 718502582, 786486072, 620103291, 360927582, 413784252, 45269604, 808170384, 407746552, 212318317, 112708293, 1022245691, 731552928, 676843456, 279313781, 989439877, 252930244, 288250613, 908134775, 227853408, 414276136, 675059009, 514604761, 85222013, 164703082, 140670440, 333946926, 302368787, 492489543, 453920307, 336879879, 892997774, 419414291, 729572814, 993544603, 419109511, 294908563, 777334812, 593319867, 540696777, 1019437685, 102938005, 638076789, 391357106, 711180014, 115632161, 928966865, 523124400, 193150530, 885672344, 965923605, 262515693, 478639640, 91091361, 36776692, 292622044, 111244534, 789399827, 227333278, 306804505, 226276407, 166516773, 249961613, 112499368, 478097587, 879090209, 917640695, 372850398, 469599639, 157442480, 345431266, 288089147, 856536314, 984400680, 17104930, 6128427, 736508073, 399644740, 1036311146, 339101663, 89767816, 1027237279, 1059629276, 69338008, 1061193263, 51720733, 811165656, 762403001, 1039987957, 852130566, 524522603, 94388423, 378504855, 1018390556, 656754937, 803595058, 565085101, 891794350, 383339570, 491203006, 670989933, 150452574, 136228061, 313246157, 786666152, 265907638, 767979723, 718478117, 522130752, 18347543, 152231795, 463878130, 713389416, 791430097, 1043024506, 966196308, 959745290, 600664157, 49946607, 533101656, 313942558, 201913448, 544754169, 131813804, 668724537, 716863553, 584124131, 1013216418, 530589707, 332623133, 302894596, 62550381, 92955138, 1067966748, 581266671, 491091686, 359565168, 824462298, 626049894, 905454222, 309399900, 751882416, 362556110, 908383570, 544226807, 120453720, 851536744, 408404335, 33648683, 685613178, 663366057, 579826797, 702455881, 165534244, 816956829, 832744563, 695393138, 208791212, 946487258, 852811574, 105411671, 269993790, 159396586, 193912799, 98705895, 110544584, 765556975, 667986314, 822590914, 591087532, 214434779, 637041391, 664017607, 572860404, 94340048, 763800107, 277150837, 1025353598, 295019953, 867369947, 64985919, 466266502, 1004816027, 901854418, 342123301, 695044018, 652398907, 824011581, 95540888, 148287158, 217804758, 674552366, 389133145, 137642551, 262906529, 493515363, 546494968, 383921154, 760084775, 330537467, 667095048, 353082651, 630747714, 402778751, 570276658, 648365359, 746257562, 1031488058, 570603936, 789893442, 260170361, 1027867489, 503587384, 580984638, 410977773, 79336783, 274755827, 637625584, 714398935, 305903708, 454374427, 506002938, 845357696, 632709495, 270037021, 173434030, 104297105, 769423692, 299814068, 984187827, 511059965, 660308730, 314543299, 828361597, 860261633, 10714863, 713828193, 1024830174, 895357351, 947730781, 801673112, 215202218, 27863883, 912269468, 23328725, 692289890, 992953686, 941620794, 504658024, 395606860, 734632152, 186045901, 556049233, 654582746, 444874732, 180947771, 463063041, 615651971, 145140172, 441075222, 607118165, 432437645, 177917724, 438041700, 781427122, 547762060, 165271797, 104838261, 649679134, 567055580, 38186950, 397374842, 558812470, 304217933, 558908809, 280683773, 1047523733, 1014531227, 111678345, 881883316, 392554267, 285451806, 138620578, 1024955276, 690045105, 589426679, 413550613, 254610011, 424022442, 353509604, 1043352670, 161770405, 1009437296, 363352407, 881775541, 654092533, 57124591, 748869838, 821916285, 190232124, 194920314, 505547972, 422506885, 724336470, 775049806, 1042973423, 923512684, 924141597, 887124965, 267779774, 40579359, 743880494, 1042658316, 520094860, 102889983, 902792477, 1062120972, 998335102, 455739441, 253212527, 843112437, 231909993, 450358481, 999332447, 365565736, 686235419, 1053400977, 310056905, 558211813, 722523975, 366573344, 523364460, 19491251, 302191080, 177434014, 1040518129, 1068889080, 184131619, 424028400, 63480523, 44141175, 16761957, 941663990, 455942420, 547716517, 866576022, 767812396, 720912944, 854754724, 836708642, 24379188, 239242906, 41299081, 390153019, 635786644, 923408331, 656472286, 726138215, 291606235, 179746252, 974368360, 947576134, 905034266, 175516155, 695001418, 132753759, 339286597, 383976915, 534059378, 201679000, 90680362, 18070701, 395883097, 448388848, 1045982901, 505110244, 1054785090, 520374491, 1003384117, 653621515, 382895367, 173513727, 78180843, 90674970, 239819319, 498495028, 640012039, 849762386, 548448998, 892234537, 577752943, 352114983, 823594304, 712190679, 1027187802, 186100900, 879813218, 383119400, 269494581, 820466597, 764711122, 847885435, 711115557, 210316293, 599925602, 1024177856, 464320282, 422978626, 677469652, 4833117, 541139255, 599948854, 781593167, 592859657, 748474381, 7274937, 455859941, 508621390, 452403212, 636665867, 822119473, 144830462, 556750598, 1006903260, 581044455, 824874282, 675812815, 167896044, 962138616, 603271369, 367179950, 739186941, 366986740, 41297912, 879562795, 803884811, 14505982, 784287907, 33819248, 405252721, 589115392, 244165447, 1048371113, 48145728, 415293066, 651662626, 160813395, 265186595, 922972009, 1036397879, 488115443, 447448751, 492319035, 282780734, 865809333, 98098728, 757442837, 53551453, 742495717, 938825903, 606932287, 694703901, 689918813, 838390393, 791119780, 137601691, 255421262, 391873121, 726085359, 208823242, 350129346, 867696769, 623875199, 378409513, 173287966, 1060585183, 102611380, 677641547, 744882199, 849358064, 798323874, 26451116, 503927997, 621751391, 861664762, 473974712, 993545561, 72328186, 710157694, 758699837, 198666072, 495095965, 496102943, 69764494, 952423099, 373881139, 231802653, 159030928, 790309190, 999990309, 419209119, 413275343, 35875200, 428443586, 163848199, 539794542, 959451710, 61904788, 980571122, 700886902, 716383553, 652547615, 1062976919, 126420064, 649419850, 572820207, 1032472468, 603923948, 399157674, 1025071344, 819719761, 234555199, 844832565, 29806768, 541240531, 455686502, 973948515, 324158413, 544507532, 26461390, 1044010956, 762098373, 672808202, 499184628, 650726832, 416427361, 534554483, 267124569, 349327599, 755955392, 139737851, 273106281, 946663873, 333308550, 820994354, 1013601789, 172239150, 796272048, 880744771, 937297547, 2126797, 42549697, 920101148, 592995199, 188413392, 523454537, 817408471, 656269612, 711346925, 1061053532, 744219984, 242949620, 859942770, 501731235, 228799118, 204438906, 766585443, 133865775, 742742550, 135119715, 683800727, 374330620, 873499044, 436643584, 284427401, 934739619, 344694866, 715552341, 563592597, 552770528, 215595956, 714022307, 787101385, 384650376, 514974607, 302157762, 188243477, 507622768, 899713056, 392794342, 136308903, 226918468, 488983719, 332631072, 51429886, 496659659, 100823915, 916445119, 728802409, 152077166, 935248910, 526549433, 717789053, 869239508, 45630848, 365920125, 806192064, 37601501, 174153441, 761305080, 288765285, 598340041, 284434868, 326934438, 488746190, 190006644, 936497223, 757996004, 1072920930, 687840888, 614358844, 752551845, 324939790, 666104519, 915084960, 594993233, 1030408362, 476894626, 1023733183, 787154057, 322190335, 137046334, 327714703, 768739084, 634704421, 897054857, 500429219, 951781821, 431297371, 92260357, 1003544330, 132966031, 126467901, 315470574, 309089868, 170474605, 180483414, 352197967, 281792290, 256084427, 866552218, 125267846, 478193552, 55110350, 139313868, 135300611, 16730118, 388581879, 908252756, 857639520, 501292773, 636380860, 102827775, 104254854, 105543481, 484355656, 445841842, 480278858, 844278393, 443917284, 1059996784, 623237329, 699389012, 564690701, 958652157, 206080915, 538276392, 738521455, 223660455, 834165022, 62623533, 264277079, 815876650, 573330484, 809250535, 300205502, 1006020465, 147748519, 119214860, 938208959, 84087548, 443294201, 1056878470, 100982425, 867291449, 693456083, 670802593, 677693081, 286317523, 202518204, 37903543, 545854993, 102005212, 618384513, 908718799, 614287499, 922857585, 753374802, 1036924878, 784315673, 555410466, 285609796, 807075616, 319031367, 568687747, 107229801, 744243313, 484275963, 461099262, 625503175, 179412334, 948623860, 178581235, 740138477, 106459660, 534960981, 996748015, 888607125, 13211612, 400549069, 508268210, 104011026, 1065529403, 755358427, 67175381, 623538527, 933662902, 769303806, 464595868, 561286376, 656662530, 745310111, 666300387, 996207632, 744812855, 1058257945, 363212367, 1064024512, 10631812, 18550745, 518240814, 259664025, 461031255, 608644211, 650620626, 293909677, 386641803, 417861758, 82852109, 254838125, 50351029, 538448670, 261882083, 115487515, 948895668, 752028146, 408304158, 156636104, 116786666, 30103855, 361179020, 850702707, 684957710, 943007535, 957802730, 885710817, 168913835, 417743699, 300265240, 564486171, 716561989, 888607424, 1039051747, 924731356, 727200588, 20375972, 586992509, 281070806, 702218268, 831287408, 989949495, 410180037, 63516094, 706914320, 139270556, 862606921, 874524904, 26454007, 546147718, 728343110, 242278588, 381222084, 588950826, 661139227, 1012278670, 1021605008, 501293656, 971176226, 86143121, 985526328, 953059789, 408369264, 391197769, 313416339, 558672571, 231497392, 524589487, 10993876, 623859773, 125814588, 45339902, 768112651, 979428076, 120201478, 862857950, 125204907, 820979188, 425826930, 331675686, 425284281, 528158442, 762467775, 336480638, 641277389, 874570130, 963767763, 445091427, 130832778, 178776736, 1003424367, 1004781980, 944444048, 826916785, 240521474, 153826002, 539643711, 415698257, 851297188, 755360970, 948613748, 57830235, 638671934, 657599522, 523172465, 1012888007, 84872378, 85394144, 371445773, 988196069, 632250192, 549926948, 899772564, 1003808604, 76306209, 341307242, 58946564, 871908225, 815755559, 648227515, 137055312, 927835706, 861942702, 942378002, 61276189, 59470279, 650237210, 233112051, 1041226463, 936358526, 974841607, 178825991, 150884252, 528666416, 245115655, 627003423, 612138834, 413605188, 102487920, 1022066075, 827632940, 30379219, 159954285, 773857425, 72682427, 591723761, 145072087, 750451958, 963659049, 939024377, 498447041, 876787950, 143977456, 788452166, 655859422, 396735694, 871518386, 237778371, 297546477, 679930791, 847006148, 1047212433, 619592506, 66078360, 935794691, 309332347, 83294854, 814271537, 97359423, 312394360, 533014897, 228312468, 206934566, 365392195, 67820844, 234779140, 802835499, 695295093, 660508981, 946926583, 669567115, 644019671, 82243053, 936799294, 150503220, 755324123, 79380950, 29582541, 309163336, 246366134, 856283567, 376215284, 896813130, 951328475, 495161784, 474103466, 148210261, 920675378, 906592952, 816970881, 82283060, 692283374, 288241113, 241131328, 702496549, 455671331, 623175077, 618907607, 355840643, 622898801, 1057448138, 307377860, 578397370, 16536944, 663149317, 372651515, 677976924, 909145738, 760524190, 387498630, 264007879, 225526902, 678823031, 778472059, 597373113, 494639789, 228665541, 162016104, 643240184, 125005562, 12813646, 646652666, 1004915507, 452875413, 553118773, 9961348, 327833868, 354373830, 398468028, 220026911, 416105625, 663080513, 687163160, 639189157, 610964962, 450977842, 133915636, 985377704, 856900067, 697413456, 714967786, 973510853, 922423064, 1046467237, 1030135913, 257027351, 195472890, 219780224, 629101929, 210481962, 821078704, 50806163, 506878528, 357609877, 1066129585, 1028142930, 162939142, 970620669, 1041808053, 648822623, 7946956, 451156706, 351536908, 512578308, 880457949, 289899380, 971511228, 855440817, 1024726341, 86366916, 894751037, 586057287, 61432466, 165477114, 535922314, 416067907, 970345703, 856116253, 1042206780, 804067776, 730385419, 1021562216, 532168067, 867346428, 307803507, 1016872594, 903460338, 460090181, 91531995, 11981124, 584481718, 2984282, 472458401, 536871660, 280614030, 51651284, 252759876, 191710638, 375433386, 435440781, 896013879, 200983647, 738259621, 258569708, 771477145, 272607962, 386961102, 501954304, 814149961, 557058866, 587374705, 515836660, 290962121, 89261924, 223454782, 397045262, 1017510267, 32077973, 333991245, 577780219, 841809491, 430418354, 697580197, 722272371, 4438892, 785357497, 266777760, 89993428, 942076525, 969902711, 833558239, 586581672, 759517921, 12790128, 769807773, 822264993, 154960317, 137681847, 798328689, 244706072, 186512658, 794678160, 522457088, 181275995, 736016169, 437365259, 366143074, 690505976, 349915395, 481969157, 784349429, 783378983, 450082416, 358613983, 177648275, 728727411, 818272754, 454085062, 671671093, 723682924, 400298850, 740744482, 630055995, 369869535, 842456151, 438733693, 614757131, 995818048, 356514067, 902149952, 464093074, 601953852, 735361455, 135732227, 121261895, 328373757, 548440627, 1001006906, 672973005, 700615217, 301847382, 152035534, 470056982, 535622410, 311472492, 491733775, 951691530, 219913145, 421263586, 492135088, 317206761, 370017751, 125868516, 649825213, 962207266, 275439123, 435450835, 710542466, 798463963, 486541798, 400289620, 925304867, 801316192, 669621752, 259083285, 205962136, 745699016, 815534330, 385176552, 1016224318, 368805687, 717118144, 105152408, 597891071, 562066515, 420814145, 939674734, 708880358, 118609197, 748753053, 13284960, 648732664, 748216039, 550024126, 736154004, 538561969, 888679740, 594800753, 897514238, 521986642, 533309472, 867834411, 147255603, 762193873, 645978102, 911754824, 461519775, 739280621, 209898663, 453091453, 772486364, 330285568, 756043550, 249438459, 391472543, 720141107, 889022208, 615723658, 1009700562, 284107816, 697373844, 1047194545, 927887710, 794591886, 679972015, 993918535, 622736688, 118984724, 57825420, 948785989, 172700498, 764852609, 840421044, 310367687, 621721524, 593453103, 306879558, 156787609, 173031465, 101477351, 851891125, 298375250, 60256174, 837832804, 531607739, 976069970, 395605097, 767247459, 280846209, 634779691, 280865234, 414380080, 772600636, 306214428, 1011437819, 505197313, 474258787, 734615571, 542998872, 730882967, 819183750, 1006307523, 158822633, 1012201335, 752757490, 96848954, 382012820, 993109717, 560470125, 1054735687, 161563368, 18535321, 310416727, 96739310, 369061104, 836859928, 583714005, 867573261, 939054660, 233106151, 678376200, 94715495, 833920855, 998807581, 61200527, 873105089, 402067639, 230703149, 717711390, 404724271, 122530361, 1013487348, 204350356, 613252005, 765732692, 161954549, 756631662, 502864376, 690051581, 446877183, 976082819, 1050225397, 338155773, 984453191, 852419831, 604921532, 317802484, 647052416, 567375637, 807096667, 641589521, 383190546, 1024741493, 601930619, 962646461, 591392002, 31504354, 656104290, 776422446, 467721705, 288155279, 319308733, 231572814, 1053450973, 992002384, 853473276, 390846003, 598352751, 83738147, 310141502, 135326432, 78899865, 105977026, 529329949, 396709600, 1031623683, 1067048136, 318902209, 903593737, 610236312, 403651036, 657167308, 255793414, 773262902, 959221033, 51234448, 406150872, 278283024, 296432662, 782635304, 501301964, 724418884, 150068836, 639139610, 666978560, 901055115, 325830657, 590765679, 722234546, 667951053, 788571462, 36778742, 501020189, 614393896, 577957740, 954804605, 458913318, 324770468, 1039639682, 817840525, 705550313, 747122018, 597831, 665080788, 830492585, 820908567, 423229979, 33499688, 524304121, 338115400, 129568551, 853616780, 192787707, 519608878, 1028021157, 905253019, 587649366, 1039773070, 47761155, 1056076138, 569190392, 255757986, 666088946, 799699122, 298230120, 844036162, 393648209, 101545067, 613308367, 70416760, 345311996, 931334638, 539092451, 676945174, 487518614, 902855994, 167960569, 746271330, 180532810, 428332120, 581661388, 928472159, 750947834, 698479785, 427910980, 621283599, 752069163, 882418193, 368518799, 33036274, 993448536, 655012998, 88645867, 574817586, 598998868, 137694805, 873081265, 1010751922, 158565009, 138940353, 420969072, 912828749, 552592365, 435756099, 910736887, 891679965, 653094453, 1013783476, 296925823, 888689294, 831954730, 416721619, 926872974, 897793119, 626796562, 726694705, 519458902, 177182993, 928186075, 492489489, 914820997, 171187848, 294839536, 490268659, 549685002, 321802625, 837777398, 1033539478, 586103926, 95887358, 804700735, 216294430, 1047939251, 459551196, 923602952, 123100486, 282705918, 1014566168, 435933339, 486988108, 695391679, 584740080, 448730137, 391864993, 301574828, 377150558, 471373023, 473468905, 295271409, 982841867, 622102667, 632118073, 79471528, 1004057060, 35004159, 330968693, 424360618, 455657023, 927233730, 208400932, 974084587, 336008192, 563577199, 745989104, 96758616, 39757563, 3276232, 779828057, 183183631, 910783922, 950235374, 611915526, 30731850, 677553780, 849973219, 337507390, 830874938, 664914091, 331776785, 909403077, 379018640, 35073035, 177538008, 698068131, 924230029, 128304104, 192863774, 936802784, 598888284, 370997373, 482874588, 225551537, 382897852, 25873619, 165213700, 215272104, 1035065124, 546268807, 89887538, 164120296, 89422643, 855688820, 675543188, 417598492, 814891469, 322691610, 979714130, 244359178, 1059403477, 504343645, 1032963896, 234548213, 430134677, 689247430, 110228930, 1054132421, 976438205, 942784770, 326310912, 262396140, 321231362, 202339853, 893995376, 569791299, 174980435, 422887292, 408612562, 182997826, 31000860, 244920378, 520756218, 197589231, 638492714, 986269677, 775602817, 986164308, 797776748, 137576390, 703226675, 431684304, 68188082, 400354005, 442891756, 853522169, 693172709, 333700373, 588319124, 469923897, 708623608, 467572273, 70480099, 754832411, 675415502, 26092354, 447555945, 203760320, 498306044, 204853839, 538163984, 452385384, 382176278, 3428184, 927965048, 327336817, 803450708, 955963335, 340302655, 896207584, 151059596, 890548974, 304867235, 334713978, 858374493, 707588300, 411175116, 626624935, 422612743, 258520053, 863957349, 248958373, 610484258, 872414768, 755681302, 949960394, 374357168, 592739791, 425968594, 646747904, 477878178, 840998223, 1019806835, 947475359, 1060560489, 652972777, 449478219, 154277778, 777385186, 1000626144, 300668993, 931044666, 954237686, 315714001, 742586942, 840780574, 595448058, 392515593, 70134996, 927869897, 892165539, 924206083, 1060753934, 680768450, 508858576, 751348040, 1024239355, 461533870, 475655337, 975916257, 415174454, 363907312, 1041534931, 568605433, 114971777, 316273049, 228279476, 1015325313, 565804834, 244117651, 11861333, 664881186, 797943288, 374556869, 733043782, 492890801, 698172318, 1032598733, 1010222566, 211008472, 39002194, 895484919, 20229070, 246676905, 340886629, 912754583, 854377791, 687370731, 688775981, 165831150, 265197893, 231257544, 686216714, 385764416, 88708802, 47370100, 670465231, 996875882, 642901129, 906832067, 823275491, 307014175, 857168957, 867950876, 490180499, 343944765, 7256395, 1058488039, 105265583, 828566664, 127495009, 409428704, 813173943, 866773364, 828642973, 431617615, 116096052, 517435945, 21422459, 912271916, 283750822, 987582288, 718166810, 437641921, 829676127, 545185399, 244737029, 381877819, 575907815, 961539472, 104071544, 577780269, 753213008, 109911276, 408197346, 252316979, 462006619, 865356683, 800343387, 997403453, 527594839, 403176515, 115054004, 368525307, 462952706, 613323082, 107755830, 397134581, 930477652, 1035104993, 579770171, 195414895, 56047318, 366038841, 652900931, 324880169, 613180333, 501094376, 782805721, 808840757, 1047392739, 931826952, 62120289, 475673144, 921240483, 847229797, 941319237, 485404472, 489075444, 978483642, 935938019, 149371498, 541948108, 799494850, 910985466, 933759993, 110232819, 87565792, 574254540, 751837959, 437254384, 850562026, 89646163, 455339543, 744524523, 211324583, 982728577, 619111344, 1014176036, 151464272, 26518375, 1027867314, 537100829, 599709886, 313033306, 41002269, 845437019, 892386683, 60611980, 978987742, 973900282, 193488475, 102744418, 229408016, 776519396, 334282556, 994022331, 257064903, 71985045, 338341691, 312136833, 416915363, 882030766, 584116035, 134258156, 764447972, 343336750, 727658713, 663991692, 787010289, 606801561, 611186640, 795308456, 1018284648, 187132993, 234439306, 795776233, 244935344, 652982104, 979174727, 904009689, 107462999, 992897018, 746238470, 814027151, 784607265, 231019064, 605468016, 202532472, 219448447, 752174177, 713426128, 823782697, 446925700, 200485339, 346258006, 831274705, 496365120, 439888098, 731274726, 443873538, 7602711, 436015586, 547649927, 327900286, 767775464, 567179621, 7633224, 388822293, 716822805, 149520737, 579495864, 660218391, 83782851, 484431949, 348847687, 472172080, 357156189, 304567284, 387919643, 609522639, 582973246, 818790136, 553869981, 585438736, 594762470, 13786444, 339855660, 206439091, 461541493, 842065157, 33360973, 373995123, 755788397, 976790825, 88203148, 847282768, 649339927, 763420493, 102556785, 992782488, 93209276, 381603414, 512059720, 686199047, 128568013, 970949383, 312883708, 783737441, 815067625, 330884713, 980226027, 814746723, 157935860, 140682637, 798639625, 841120139, 978208353, 193947431, 906824880, 815555871, 682496453, 99862446, 603972386, 792019595, 687351044, 1068427427, 492648393, 797200567, 614891993, 1031697555, 82902866, 959208886, 265075632, 1037224103, 1010065612, 110672611, 82251137, 884717736, 334422821, 829725598, 219459869, 474848402, 732182339, 184236813, 1047365317, 984260970, 642827343, 314866538, 625302902, 494477601, 590224867, 717130897, 187707725, 59384775, 410282037, 937700203, 138840942, 178352190, 609836902, 43289737, 773773959, 49800251, 600330431, 40879535, 946886866, 427269302, 720544738, 445166256, 298661453, 715844857, 169038862, 335275063, 984666374, 40855427, 755242945, 900817944, 1060248994, 1039080971, 721771682, 335157092, 16925673, 622953524, 148065105, 743117551, 413869632, 494192286, 743783807, 13249254, 109827098, 23532585, 931553004, 268789394, 959193672, 366724229, 952513645, 690538590, 721026785, 971301156, 1048704701, 720678085, 405190204, 864579433, 180662091, 988668062, 314979957, 623328552, 275941873, 220750844, 169745649, 878611269, 138243305, 499679083, 142676473, 51604056, 249989878, 688202006, 539998603, 455575570, 230699259, 148925536, 32425314, 213445396, 1051378686, 99420626, 138409680, 110765435, 806825546, 111737421, 15613587, 201270005, 475003641, 30956594, 239631387, 527740898, 1053964769, 807491206, 477847904, 289108731, 643864396, 1057077242, 430027311, 851042441, 232387339, 896021698, 177448445, 490585083, 635916212, 93092271, 607206238, 325785826, 169123589, 90017608, 610703191, 210568990, 34688913, 870445068, 688511766, 236988740, 563592717, 518507977, 945430164, 383246721, 928978289, 715521910, 478941576, 609062797, 899744478, 631599388, 1039377944, 399409003, 241523843, 158213192, 877480098, 267749765, 844405413, 697405564, 816050919, 982742347, 94149241, 1067726220, 989082630, 560268104, 503730326, 50083107, 153852247, 627837982, 33326447, 199823777, 694166439, 149024488, 478153694, 915448223, 818522223, 934173754, 134181618, 46046389, 90912936, 400964108, 320384553, 685639750, 565917512, 16157141, 190782128, 180286231, 834747604, 293936969, 372020371, 723638296, 735293320, 742147192, 52939693, 112249843, 814387703, 1040677680, 973563030, 952795412, 210566470, 800984530, 117407700, 1014756121, 882692256, 1063449315, 55565985, 1027755800, 654140166, 1020635989, 1005314068, 397656027, 431496032, 803666885, 43792376, 734222736, 712847933, 118692986, 285788285, 367227714, 896793967, 598911711, 398226170, 415968272, 622339698, 404676809, 791456584, 916128911, 253403549, 81902720, 1070779604, 56326622, 303276760, 936918911, 3899874, 1015691378, 158753872, 7602416, 774165872, 464257884, 851129427, 886064302, 844888426, 946055185, 466434145, 737403580, 117941144, 368849572, 96698036, 611326017, 622891698, 454514902, 485225551, 782918121, 630863485, 198248558, 470090434, 667414054, 108634237, 646123391, 318789369, 353905644, 632366220, 800604319, 148331905, 100292349, 529914658, 679184288, 384139096, 1070248512, 606718034, 959345929, 918157285, 505544252, 796009260, 25802084, 920511095, 466580451, 65401320, 338440482, 674854205, 264321740, 915114134, 841352752, 543584379, 191521194, 576160017, 649837416, 912829395, 147612182, 113489971, 792012044, 289970749, 943993300, 672805739, 669630952, 118923002, 997756263, 845405176, 479528129, 424882236, 443420847, 276958286, 556756536, 1022878873, 755363100, 220983021, 745614132, 939506655, 952197020, 685063986, 882679814, 652869245, 814199850, 923548590, 334078939, 827461857, 832721137, 527560592, 523627315, 407025504, 636872740, 828508522, 510330320, 621150853, 885894507, 172910255, 679210268, 17925117, 1038179172, 174833377, 269240754, 732399466, 640252497, 950897512, 986783430, 309619819, 567142962, 833968138, 537637450, 321813900, 480944659, 862780699, 772294302, 88479288, 1058985670, 886735139, 798890570, 6293124, 339330898, 246938108, 244675079, 726796352, 1059263973, 943605754, 208579838, 1000321254, 621676540, 345243309, 67710026, 1039839472, 746873059, 683044912, 505434462, 505628914, 933866765, 109274506, 437895573, 74586693, 864796363, 468500501, 147238950, 308289904, 250096787, 999027068, 639062510, 812494455, 730295687, 90941568, 574300079, 53537644, 728820573, 356275095, 660829138, 969657417, 811241562, 509771970, 50628305, 209199452, 970050895, 38783172, 1070304388, 295793448, 672280016, 394220443, 546713733, 818168396, 562183190, 96501257, 528685610, 1007763911, 1071324693, 835617457, 770540286, 160917559, 1025527992, 392593014, 979269596, 972588887, 807967467, 578398534, 1008254170, 85575533, 637868033, 26307141, 608464821, 1003042500, 613722520, 383916083, 814101629, 1016445801, 427982453, 155600873, 400961106, 85275363, 421493044, 1008994193, 463138829, 684128779, 1037384910, 693587779, 35159010, 886784852, 235956856, 571589824, 854247445, 346501244, 880636863, 334060924, 711771000, 922957543, 987861449, 486743514, 208109323, 743414694, 152506611, 375629855, 159754931, 925254, 861451453, 187579016, 652482430, 98276126, 823518476, 388795090, 563947983, 949878727, 499609485, 837043584, 193763467, 219978899, 119823609, 808654424, 78960164, 719133592, 713284874, 998003820, 520680325, 1016826959, 159482834, 904232764, 332199633, 222267755, 345226879, 859527026, 540749264, 382788345, 626912834, 450927173, 619059758, 79221542, 816769154, 118945641, 675121645, 579947291, 63220399, 367688223, 1062154916, 864947856, 888092286, 238719217, 812757525, 685663188, 258454010, 1072768154, 509648841, 77075520, 353933674, 111312357, 230684447, 225632928, 749420035, 15738550, 929695929, 354659527, 241974929, 399729613, 916275547, 498938452, 632037948, 555315409, 496745052, 564678705, 577494864, 372108415, 791738085, 624258195, 983230043, 818460269, 320244076, 119615809, 356600886, 53876206, 646906216, 797594047, 459070602, 764070592, 832961273, 917454030, 401210420, 828554844, 134506766, 870670907, 1060147481, 643872538, 1051056941, 517586782, 569102737, 279005870, 183633419, 247053410, 40764641, 1048758955, 898285058, 1003308320, 1068492400, 836525751, 742047818, 157860278, 517761116, 316003498, 657086283, 287629113, 487455782, 69377413, 367711989, 744192921, 653358292, 121808624, 153490140, 133399928, 373597551, 447474506, 653176422, 639492846, 304362191, 732563737, 353613208, 772585021, 534783139, 118203698, 665310657, 764241409, 461847166, 506055764, 636398918, 433192613, 980894412, 478659475, 229653627, 840890435, 641824640, 640957199, 357214023, 672427850, 486012205, 108945479, 1064164575, 653060805, 699551454, 325117457, 441287977, 382747583, 71750534, 1031592528, 159234133, 964471064, 893964587, 40119044, 624055058, 475593832, 386890419, 242483096, 820563491, 376808601, 552205582, 674501237, 567420753, 111024438, 719627010, 850128474, 690885779, 1046205132, 199625818, 544437429, 877467428, 608814841, 606092868, 677808412, 421526179, 822694596, 76531722, 708292192, 217414748, 1007037191, 703969615, 960196896, 419243254, 26338042, 470080970, 283942306, 44095346, 360682577, 14384291, 271046855, 581428520, 650799137, 256965750, 105443991, 544030518, 589099201, 626200586, 887194621, 336732746, 71508476, 93725272, 810863029, 61439741, 21414557, 47609492, 493618896, 18534010, 546546026, 533283273, 256242576, 720163787, 1071665081, 352339287, 816724741, 148442071, 195152925, 815627695, 343172171, 950073223, 684629213, 829267573, 551103494, 458357716, 1049695214, 811730905, 877922735, 648457048, 812061050, 296289987, 561241160, 659130536, 44814873, 674311411, 614788258, 37617949, 1006751301, 779443492, 49774535, 175537950, 929982436, 163798086, 724774991, 707900161, 425774797, 596767295, 1046948510, 23368759, 363854843, 1028258149, 1012261592, 129078443, 35059546, 90832022, 568879137, 722838731, 689479547, 237757287, 93114526, 1032993928, 437238840, 100615709, 960003241, 617357276, 621893111, 823021444, 891489290, 440134693, 891993733, 574923845, 25564073, 66454637, 899848770, 198924404, 742459616, 342246646, 143804826, 1062661583, 100616421, 40161332, 772476984, 207166881, 38672353, 385942392, 105747530, 962121904, 834597094, 511543357, 681828306, 486848180, 323631920, 525664132, 607053265, 778392075, 275370731, 1052215507, 590995417, 859467532, 382956844, 209702331, 459715136, 460679691, 695188844, 499835501, 342539257, 829432861, 120078715, 635514441, 942220501, 599464820, 510885929, 572445508, 88678123, 159233792, 475698704, 364943278, 21692401, 284248255, 1007031956, 499528595, 95158451, 1003162490, 215286465, 68878139, 694159022, 45419333, 2685007, 433483466, 311045713, 163792385, 1030143216, 225815774, 1067947792, 190476519, 830079995, 1012675714, 81137547, 385485903, 859698154, 525878994, 1042138331, 607207950, 658969528, 211323829, 797815712, 621950350, 641284287, 672503701, 3805268, 573997311, 365387775, 898513962, 91433400, 351686547, 660913751, 1032761467, 645562899, 171264440, 40003077, 241097557, 691404057, 312138451, 155209498, 902834194, 203509498, 124078777, 524671244, 664226676, 876562252, 544302221, 1013776889, 927912385, 481711272, 341942152, 43139740, 112294993, 146957964, 696921738, 760766786, 717408637, 535160349, 875495438, 434720006, 587647716, 216408091, 329381230, 106054234, 143004054, 418168502, 30662800, 1064571715, 610752706, 1034809968, 446559190, 140228334, 630040047, 673793894, 700393403, 553197454, 825695448, 839267755, 539290119, 801263091, 609898531, 906203910, 310340932, 612314516, 292004917, 745658633, 697686640, 566324597, 161528851, 599859807, 163302047, 537315543, 609204928, 873542200, 191248706, 230911852, 323709888, 412191739, 199268419, 801943199, 611193066, 303349952, 11631857, 554866860, 1032395965, 891469092, 813672934, 459444183, 573134223, 616432559, 922531390, 799008911, 318413496, 816620229, 1063031410, 445903200, 1061110871, 1031733814, 826301570, 99704924, 428732361, 683145345, 133098, 307496929, 503803407, 428152713, 454121107, 363181833, 347428107, 743719693, 396339406, 25159041, 1024502847, 181939768, 1052090555, 71380715, 685582855, 302103909, 883571535, 702390079, 208847721, 203256064, 633973028, 764707161, 1064332859, 486673803, 1019445841, 691442678, 1072147588, 1031096413, 564084647, 931908499, 946893896, 379845734, 16349619, 1051461797, 960659695, 821542018, 990271610, 564153281, 257355642, 179652603, 419844267, 489172712, 531159129, 740852655, 93415880, 521267949, 553128413, 387188963, 917106289, 22425425, 489869891, 1035038127, 483002844, 782200168, 154234613, 539871584, 77892549, 140761701, 36525756, 428381266, 292866033, 308849460, 122374949, 518387320, 299867628, 493435392, 305864237, 501436416, 846844474, 283927552, 370861633, 330264300, 612780026, 60420333, 145124600, 112994134, 845848027, 418734085, 391999946, 295975793, 305839074, 902554184, 759802280, 745962306, 950504889, 1073645121, 684793622, 1038396122, 961254090, 34373542, 521148110, 305988237, 644529511, 696373878, 460558008, 196230693, 623447069, 165030489, 354366324, 343833929, 251753978, 2937639, 70275118, 137977125, 830812986, 64076651, 673902414, 354012733, 884947644, 348584633, 1029285905, 988368539, 739265458, 440360122, 963146668, 1040119287, 937631105, 604668005, 188857786, 141883668, 534349121, 599170379, 520703159, 722579888, 610211526, 1051397209, 223401036, 997164487, 764341127, 603813304, 752389214, 228790135, 967699685, 595864606, 667484854, 430180263, 772963177, 63266014, 243372879, 807282949, 359902554, 849784607, 145080424, 529772737, 436505955, 244775749, 546482669, 105915396, 362799757, 956964688, 591761955, 708716411, 1070557974, 1071386706, 1045355573, 653153285, 86999306, 176661335, 1040692335, 399168180, 55707985, 22268230, 136868565, 242510617, 863828519, 1032305450, 118709043, 796895280, 1010264453, 136994097, 498809382, 688483690, 789914734, 192823919, 309986985, 810737356, 867190758, 1070734417, 681154117, 23870182, 437694074, 192285407, 1027612094, 282035444, 205172240, 1036800805, 114100336, 478043016, 10443001, 195623792, 433157032, 689897224, 905282459, 410438070, 30542261, 59240537, 980598151, 401006429, 593077132, 875571921, 332462755, 472659025, 472089952, 220904266, 112636273, 151936624, 466477116, 606034141, 694452951, 1062301071, 570218496, 785356619, 913342915, 219393556, 21256226, 274322590, 748301008, 919702378, 77513624, 929911665, 1070659914, 49265162, 131222366, 125807895, 1019306055, 616044457, 124630464, 681451299, 729829208, 55644660, 613997293, 127006241, 890930657, 658748524, 963460488, 81563069, 509364818, 593719494, 245034512, 516148729, 492671256, 102921035, 410293040, 339971403, 330980264, 657996208, 651969289, 500166580, 706550049, 676189272, 814945877, 642409943, 462258268, 273644345, 980369228, 264947121, 521721624, 529560495, 795330966, 374108179, 17829209, 1067913108, 689463496, 316037927, 1043632007, 802277890, 482510467, 946282190, 1050674745, 214536940, 256869521, 662355172, 491168998, 638710370, 920951920, 653337439, 54153776, 556923293, 427896235, 238900267, 794525298, 1034618996, 103733644, 359094963, 882993924, 266027676, 996409273, 539106785, 1013172627, 609193924, 822693901, 515960344, 226288074, 55856979, 173686567, 679602119, 686832120, 293421815, 726645218, 829721283, 69240294, 264996723, 451651101, 427393356, 671737021, 426597322, 959749528, 931353114, 997562830, 578449898, 1057104248, 275018071, 477232649, 324870785, 98552768, 35894048, 38530014, 453798855, 355799223, 583868513, 1068108803, 391036080, 645241978, 172470309, 818248298, 1056176989, 118456486, 175637560, 974287010, 626873987, 139252978, 186727099, 195754126, 679308438, 198022704, 343418830, 1064424928, 724456511, 1019769279, 736342639, 81214171, 146643869, 852880456, 495803392, 541669768, 1047147084, 835280574, 130301429, 747412057, 792925854, 918890754, 724599719, 603388582, 272706859, 724737522, 432616370, 178786757, 984865497, 1017918281, 131024311, 373762157, 581720328, 55511242, 919802276, 142255875, 854220136, 233964587, 644923941, 206945489, 459479636, 371924570, 618123890, 255625996, 732996600, 10979198, 846663603, 392346897, 1004895872, 281817822, 864134937, 415575259, 120368165, 766218735, 748640856, 48915328, 532050125, 1041961944, 256708668, 78697644, 249402222, 197885061, 246882395, 731311324, 282323006, 1036304900, 359940713, 224979719, 121668873, 928767045, 673014820, 513779071, 842519026, 335613404, 872195837, 46990862, 886636112, 64471975, 638461493, 756053890, 938494178, 680102563, 903096762, 118337149, 6304205, 531955643, 1058159480, 534494609, 44406104, 1044191547, 725593372, 934796099, 228054071, 208919164, 1033431820, 901340330, 606832929, 974992492, 819098414, 322375433, 587096823, 728370133, 711991941, 1072118877, 1064947206, 826289988, 842807439, 190960285, 290627796, 956647167, 919028028, 754268924, 975198586, 621960967, 1057219390, 836452368, 253644756, 623817797, 234666724, 684453722, 197980954, 355238660, 161056174, 261288176, 1036161375, 810135516, 431778023, 425568751, 596289256, 590282870, 381094872, 864870298, 376162573, 971797755, 568248780, 691270220, 778537459, 82263046, 797484011, 284272801, 87576020, 212737774, 405168691, 708546029, 95577733, 296080805, 296327948, 363571720, 516231319, 221572315, 105586139, 484686605, 364693791, 518618294, 614449796, 399095444, 917360417, 288402164, 581928370, 882918978, 943882308, 693668963, 546495023, 244300529, 362035995, 407684829, 198326076, 757935725, 61471098, 750354887, 825175895, 790696299, 742596665, 188682555, 193414080, 380161056, 445245837, 36686204, 529899073, 246619559, 744908844, 1028545196, 948828132, 24120033, 372791395, 943032393, 79458837, 676690434, 20647972, 26003166, 416339669, 793196506, 305959599, 1042223852, 65090540, 199873171, 637182223, 39362326, 380152332, 755755937, 751206331, 417111250, 351555190, 100573873, 546536767, 514800711, 612791879, 192218971, 712371198, 785958830, 1072484945, 5220184, 658428238, 990079420, 1011944746, 542236038, 264593082, 276952035, 559315979, 899002960, 458397280, 1043956505, 85471271, 1043881995, 126402176, 550407324, 739069356, 746785046, 366925737, 5455796, 481450998, 220676633, 391214463, 380057980, 566286781, 11098720, 152939081, 823884732, 757945864, 834249687, 239186505, 472165347, 608487783, 751405069, 151211042, 64187783, 680624146, 171896621, 799050013, 94736053, 82832334, 98280519, 62326078, 490327996, 701381615, 1022133300, 1020182510, 243832440, 33445255, 165431002, 496096640, 1006877955, 97764309, 297792309, 693500071, 250359953, 210192145, 577855806, 609255844, 949974958, 914191001, 661475533, 395048683, 793905924, 782593348, 907410575, 512044327, 851937231, 201183382, 209818235, 996188184, 551214054, 861745635, 962961517, 490517135, 70626665, 967399776, 534542101, 567886007, 514186369, 255365638, 443895181, 842709904, 850322941, 575636292, 24156727, 432791419, 902949789, 742547437, 241623602, 880331255, 474475746, 697584249, 49274675, 32646077, 981156237, 182261692, 598376278, 903146336, 126131874, 948990170, 829072487, 369330048, 411432233, 755753916, 130324809, 838402361, 1019614772, 308547872, 235184226, 75134513, 685268277, 575775474, 208412333, 845756744, 1049715883, 860689690, 322813015, 825164525, 753914893, 775129132, 1011425134, 873983447, 868204867, 883661616, 157343309, 690007067, 528802192, 434336926, 763537220, 433401525, 236979950, 858082424, 991364789, 859236118, 788756934, 228398136, 172062473, 209624181, 1019882272, 537790520, 576309852, 224712978, 393934848, 709670731, 231814568, 572129462, 710418644, 524465592, 220003080, 921522217, 844182555, 210941193, 615403651, 524225809, 534473441, 181591619, 514220574, 93635542, 144391797, 904670853, 77016785, 673514708, 975260477, 1062685673, 12121455, 193062342, 1037967860, 994869634, 211210784, 648975024, 784820620, 991509545, 532966128, 879313955, 113868370, 857788507, 158047378, 554123227, 136087579, 610494980, 142869607, 462479074, 448015501, 329666593, 855770003, 880991463, 143525912, 927566809, 277271790, 68919032, 35417318, 263427594, 614954528, 764874833, 103759034, 103129256, 415473390, 419071888, 376372159, 135896759, 285146671, 566016361, 590757346, 311738070, 517975574, 228243420, 993002902, 237878982, 1056903114, 927362261, 877038205, 880068904, 331186714, 422256853, 445353483, 468458527, 456931485, 226546238, 949820263, 535350636, 285844376, 187568434, 71946568, 540708666, 175632016, 1067259029, 1026032819, 574023754, 996642517, 698156865, 586575435, 301422051, 1046837266, 798621571, 52269087, 499069443, 295838611, 777877320, 395885896, 964998568, 649827493, 754012575, 681103046, 104535185, 798565321, 187075317, 83145658, 507496141, 405290839, 460079183, 424424012, 14089921, 86886262, 160228702, 635614946, 761257951, 59734745, 88791682, 940271924, 81837008, 472939201, 35103499, 862417178, 27349003, 252507597, 420614175, 576951704, 50826312, 355093388, 62477544, 449927499, 779437463, 247357084, 557742644, 161564672, 702548362, 1049049781, 683564283, 630073440, 747025436, 479249679, 640824311, 219388232, 6319357, 83911325, 541354222, 567453007, 387040665, 603057802, 396689442, 950690954, 274391727, 522777628, 540716699, 140376066, 804595395, 24070507, 507408399, 197698441, 591588381, 615828284, 916989108, 196619689, 291924987, 942170836, 869496971, 626332909, 453366390, 771559909, 908866060, 643415067, 365839141, 457519271, 911641009, 606306025, 471828612, 67787138, 338377921, 385591444, 477195117, 160787749, 254746844, 349914221, 1058913815, 560866200, 505532936, 475415297, 48725522, 160569912, 482873953, 728566732, 176878912, 407822709, 658086791, 555097910, 466622683, 838581239, 387394714, 809941016, 984539441, 1205494, 229600334, 83340333, 369781761, 513956408, 19589303, 588888102, 796195817, 205022121, 343347136, 998234247),45252), 134217727) + } + + test("test9") { + assertEquals(Main.minOrAfterOperations(List(241273315, 1001151194, 1020274203, 113268625, 706746712, 664633219, 269870292, 283576396, 418383327, 930150216, 905375709, 791741662, 344482765, 682332841, 857797174, 707796034, 788295607, 100433007, 1439402, 630636161, 458652585, 654010977, 556033335, 853246489, 473878449, 169562720, 120638866, 1072139896, 205791626, 109581020, 612100373, 622267518, 670956491, 430521892, 881723574, 155488766, 931078318, 160229591, 476832730, 861228702, 825729015, 695542265, 621984502, 82152790, 705721334, 894498340, 1073640706, 834525609, 959389630, 913069962, 575364203, 898714081, 80843450, 377475832, 332784655, 534498821, 421949145, 1026229430, 324549391, 1071775346, 676180749, 537458961, 342859872, 762409380, 242194128, 492732363, 1070863927, 110329033, 644427965, 86036770, 881591247, 996746816, 252470675, 618268422, 63266025, 330121592, 537452118, 982763878, 382838112, 69311505, 525973357, 590734121, 349087079, 355922676, 89095665, 1072693008, 981260704, 388030128, 449684941, 973778384, 831796321, 135087800, 143709783, 31751971, 893244269, 103866179, 279257985, 528585843, 699499278, 136481794, 864244631, 158709573, 292580888, 318451556, 398394496, 860478105, 184867035, 1057978244, 878435110, 666547015, 682606637, 1686281, 22688376, 183365576, 686736311, 625324648, 1021867846, 879416336, 970984797, 1063998957, 567597049, 123164776, 738511936, 693117741, 91477429, 913591362, 42049852, 73078608, 131495432, 252982227, 599817506, 876207922, 694440565, 965770245, 580337058, 136474398, 193860753, 250618716, 248376657, 802660142, 651775644, 324259014, 549614760, 698928246, 142106038, 891833683, 1039117659, 268514065, 778534245, 47713731, 9185744, 43945453, 677088286, 459627868, 568484307, 1034697469, 124681048, 368443011, 527106228, 862799299, 669803665, 684248494, 383675608, 281757735, 436824114, 203134782, 830274410, 925081566, 579155458, 242740766, 637047311, 915659649, 669549975, 295017039, 849309190, 228420609, 840281153, 158289516, 566530882, 50078017, 850211019, 387748692, 487839718, 103341184, 904745532, 40155594, 45522184, 451569371, 775166470, 519002208, 1062801188, 267386398, 1013469014, 836256585, 256281044, 1010973507, 247691151, 534421860, 599530711, 296375316, 599476231, 1049619022, 869637203, 376034893, 749676500, 395344244, 120909530, 567533381, 1048274405, 457150770, 130715992, 950414071, 21707064, 284743902, 48452641, 400056979, 505913076, 161939596, 919825561, 923065727, 310279470, 134403466, 355629907, 405342776, 584754742, 1045324546, 684385039, 929014110, 966786310, 104603190, 215728358, 271229827, 968330698, 923864637, 328445182, 279274607, 993798591, 857604940, 910546564, 756927365, 1067225850, 295793957, 836341383, 402615163, 309836418, 248989209, 286184963, 1017511433, 1031100717, 6803121, 384591893, 152872026, 136792081, 799474501, 291958553, 568768572, 339298271, 505569068, 16085401, 657154445, 695840616, 510680748, 339578812, 238525898, 692385661, 830504480, 345932715, 289965649, 749877640, 256655806, 150656414, 825116799, 196272433, 876133769, 60522293, 662233892, 1058313836, 955772133, 83125500, 364033068, 968248909, 104960425, 422144158, 374258140, 66809471, 460996609, 702390238, 692743356, 559771624, 459235972, 421891838, 1003170221, 184915000, 139956438, 384974901, 613991213, 807555234, 480481734, 606382639, 784671207, 551602911, 750709603, 725264475, 953486355, 849230182, 865075402, 782223382, 879033390, 268324631, 816126005, 688310968, 714087495, 925797605, 529129976, 608808951, 273130032, 781611504, 53216963, 394160358, 1072631577, 980684052, 741339128, 734698259, 57825872, 589928126, 548426471, 252981262, 743618806, 132524868, 648478388, 333338012, 251269743, 567923674, 270934094, 291117749, 136202664, 385483858, 404907189, 845614602, 895570789, 670117525, 550571891, 345210103, 524964066, 698578885, 703537423, 209963601, 107661122, 878168214, 411252827, 251437248, 753777362, 634686911, 483757908, 662664830, 998677663, 268396162, 568906886, 1059313688, 739422978, 761596056, 191964770, 749472749, 956733941, 883707161, 822086455, 127163866, 876211761, 677601760, 8759890, 156820538, 982215008, 525328931, 843791511, 63613275, 560122842, 603891420, 644867735, 218695613, 1011787001, 1044003427, 999135037, 69600578, 316123203, 359216512, 308793984, 416559652, 641113473, 667627334, 642674442, 367510398, 926793168, 207760097, 545058073, 99788285, 438875167, 582428207, 901639366, 975851080, 918419499, 513165496, 823479401, 858451603, 284047177, 284967484, 179862422, 197167215, 367962468, 770241118, 363309629, 21244618, 691264313, 655053046, 230007166, 714016605, 648566434, 642298464, 725155558, 565317334, 299158757, 359323190, 559611717, 749096120, 676371825, 233643546, 176111976, 577755097, 758001277, 49040118, 825118517, 394096367, 195419831, 20997519, 827874843, 465211993, 1018845021, 867792803, 132562441, 621862562, 563465477, 500227230, 442008830, 269011491, 197875372, 970939100, 964310195, 234836700, 74015434, 671959343, 56928440, 603310560, 447325564, 973841813, 224954937, 49387249, 59539351, 409753361, 108214864, 322292332, 67719702, 82313325, 928526661, 1023271048, 26842873, 639645644, 146778865, 773448102, 778325257, 724723150, 750063944, 943611238, 284150332, 433831754, 944681086, 851305891, 352447456, 409463587, 63065697, 423438866, 789826122, 179870448, 785106029, 350638218, 815939795, 269240551, 965525598, 295462979, 982888958, 741668244, 567091425, 825186408, 670764873, 428896900, 585308828, 1017274519, 75010377, 572319916, 569399029, 892518220, 828240435, 380841945, 64410866, 282926139, 486784973, 622153181, 153098078, 674015793, 870620377, 213995875, 481674738, 634888321, 894890256, 481105891, 33833579, 56147199, 210131195, 987686410, 132177393, 667238953, 573144032, 146501514, 533509080, 722633072, 536167487, 525409932, 287783617, 296140074, 901502107, 331710469, 103936697, 706907510, 405172423, 714088208, 588927451, 1018741173, 500417634, 201509879, 529561713, 297694774, 34617314, 626682150, 729100160, 765622639, 905903448, 242084675, 47592511, 761703499, 173752098, 234832302, 646071362, 287747259, 785426015, 580545268, 371637010, 674928811, 623223690, 228330243, 493797040, 9502078, 1025560475, 1007137732, 402444432, 910218288, 918356519, 683941697, 1059177979, 957305674, 111438243, 307269400, 297010404, 567984020, 36680370, 794976402, 267135482, 913803354, 915710705, 657113564, 829422902, 981113486, 328926680, 991764363, 904069256, 1002462598, 680903191, 595024754, 671111081, 634634649, 575257989, 1029410717, 803572739, 678949168, 239128123, 881696192, 918263301, 18268837, 654044549, 73871496, 896835093, 499720060, 348496862, 149760232, 628991143, 1036155316, 293809270, 222321647, 343202422, 308910965, 641450521, 553321895, 96280274, 549584205, 31641925, 150923145, 814149916, 283260868, 241770829, 474475364, 653602877, 732524951, 574791191, 610379116, 241622527, 859448189, 822417134, 480942054, 244848305, 766114823, 1055333841, 150232648, 87424530, 303225978, 875406391, 547627152, 1030375872, 185819130, 1033821769, 396364580, 655065773, 268664675, 72141484, 2630656, 452536347, 842386356, 409609243, 426001540, 885408200, 75615195, 305491401, 958017056, 768338913, 772452781, 378759351, 329865747, 154558470, 614381921, 962579802, 247366285, 147236498, 157212304, 569942403, 449817152, 113903162, 741172282, 973591164, 902302590, 169326343, 334316831, 234782159, 130409207, 328565399, 326247767, 824947900, 304257633, 758833910, 777265266, 661308195, 292539047, 853120769, 767851282, 472662963, 989211964, 632618421, 894278472, 373660834, 808328822, 528489900, 474033450, 283307278, 777682921, 897151186, 70656521, 551587198, 312181058, 255143568, 142558243, 316004422, 277005232, 1043137411, 906739668, 51581515, 288389120, 117588342, 820484812, 628368087, 143778181, 712772871, 199313078, 236954378, 492194757, 270295994, 550942958, 197138611, 859749691, 885525559, 479817990, 75493096, 806909264, 778548898, 223975914, 819767159, 885758800, 477553318, 856443716, 33464323, 499465979, 121227635, 1043419936, 593882869, 192197486, 116622676, 289293804, 147967437, 237490539, 684224848, 866095735, 1009965894, 975322611, 6883894, 578955497, 862414674, 604888229, 521534165, 708028798, 66557946, 596344398, 980183014, 531852954, 748392945, 790064694, 447362071, 178829074, 439983592, 258618750, 184498568, 174354245, 497554000, 903741893, 100586858, 999879694, 85168853, 1013825943, 534831653, 1017729574, 914309776, 264603985, 762572049, 844443194, 221548251, 660572703, 140271035, 666535568, 708525212, 1014015070, 113846825, 1071660128, 45521092, 264707065, 920970996, 646647586, 688334634, 886924209, 783307779, 282949041, 158437687, 938053425, 243575640, 857539391, 918195443, 422709688, 493373034, 632045287, 702298690, 126972449, 196714066, 78149469, 595068038, 259434047, 596072592, 215731088, 471101005, 746398316, 97990175, 242700454, 629903588, 483259483, 970908461, 669557105, 944494237, 71074355, 433074836, 226576797, 1060828511, 242682273, 47332950, 537455221, 854395818, 1007809060, 1052152845, 866354229, 600036347, 745443604, 1055342217, 521614390, 614071335, 224359062, 909145740, 847956943, 647995819, 609537715, 269267754, 792128744, 492636971, 380761192, 764386990, 984426826, 341796364, 130499520, 861463730, 954317565, 874801709, 519973950, 556304619, 522583574, 8777719, 388389048, 948698355, 442760906, 705661473, 906243361, 315936761, 928101379, 569521240, 1021659704, 768060900, 866877893, 526156954, 1064735473, 201587352, 80893259, 1052940610, 1068915753, 258595064, 246142978, 859342304, 701515772, 642905512, 298313486, 951136033, 981714142, 1012417, 670087256, 332805343, 126621253, 162042880, 1027900339, 612258406, 261223164, 1020183415, 299533189, 1015553669, 815307364, 1045817666, 85606564, 433676275, 572771395, 166914199, 748017326, 747171196, 398050316, 196648839, 1027539036, 562396872, 920208228, 688313046, 111612669, 638582831, 357373022, 329911872, 646638849, 742107831, 337509724, 740310489, 29788973, 582629588, 506471347, 331202011, 259625205, 843252895, 668589553, 63363287, 113249954, 876394366, 559278488, 392379662, 605136762, 454409966, 785769975, 768002443, 601566563, 282514834, 98944914, 791292122, 49150766, 750524726, 442849019, 230808661, 376639992, 226165304, 262971497, 376784865, 192448469, 12011241, 195697841, 95861542, 211932215, 836373279, 685938109, 13346870, 588693026, 150870427, 883523452, 180173741, 369833933, 782536229, 171484716, 752850171, 76217210, 79221590, 548829161, 411309241, 1004848241, 831110947, 458821704, 234528360, 402039342, 469450461, 751942231, 622964463, 221530233, 788362939, 730912148, 755362603, 327802309, 289837125, 1007640811, 385507791, 413601611, 913015337, 575642815, 393143232, 12158300, 704291909, 440963134, 647120901, 91279232, 532533120, 893885600, 20431060, 611923040, 917618430, 97972442, 713376072, 939352367, 816356385, 58693315, 272739841, 549232436, 1035997134, 544500171, 211791862, 407699296, 615373587, 1061899786, 736142347, 600706140, 344791400, 411268307, 1066019766, 772800247, 74920602, 57974424, 483989898, 474702502, 295762949, 512100867, 586863643, 215821665, 407272652, 58581420, 510167085, 763327680, 813261259, 103838941, 126103829, 815828981, 203439687, 66035858, 57018164, 597490814, 731969563, 223465562, 22286133, 213007482, 1792283, 824458136, 864114331, 176608512, 11010437, 769870610, 715407040, 1003751453, 629834130, 96398151, 975860766, 179016297, 1030980574, 32254174, 479341101, 462838460, 128290588, 1020564102, 459717969, 918586565, 981350899, 415786828, 783618101, 217321251, 900124805, 623664782, 712464497, 646549274, 43190577, 455256925, 643573569, 283515713, 522908059, 805703014, 816812518, 786262572, 430303890, 542767628, 153470414, 402540111, 301686657, 907553889, 943868504, 592857508, 251426932, 491557929, 116054259, 878364419, 1059167778, 951580164, 900467602, 666448381, 983716411, 857370620, 407444274, 358431551, 243126100, 853992388, 891313094, 11223043, 940766896, 653926608, 998299136, 931897489, 754619144, 1067567579, 557962716, 373455551, 198446876, 1019668038, 295427868, 819070238, 118176167, 34676644, 24700572, 1065094740, 268125319, 104080746, 457263869, 838824717, 306452127, 13494248, 957284186, 23075497, 337410101, 791643363, 602158222, 933572684, 475126794, 613802085, 948511410, 249348638, 246826980, 1017280079, 879229977, 3921547, 410150941, 112868903, 752338497, 247361943, 363370540, 608727123, 28380141, 661693688, 901798589, 585773670, 541132315, 1029245723, 636235696, 82955246, 721063816, 491303876, 355200096, 297396157, 440058489, 99636408, 159509080, 860117795, 659633823, 283871148, 304812805, 18665009, 549560403, 672395911, 362391028, 503571900, 694930810, 160163099, 25473217, 52381198, 369930929, 969380908, 647525875, 271117214, 667332608, 667859316, 540560597, 279304152, 444176017, 883238473, 831897522, 867423104, 811364406, 61896545, 742112016, 203268347, 181827346, 578299510, 396744337, 483207004, 890535638, 535687683, 395906574, 877480585, 497032710, 488826330, 203408259, 555317488, 496570806, 287866357, 184654647, 1053602276, 1058585362, 162710176, 37912521, 295860006, 574402263, 1064788566, 284979748, 429806325, 156891276, 443875722, 87114160, 538100830, 500878358, 649755094, 319695215, 977228586, 355551930, 231248796, 514455808, 56865785, 545057475, 952910015, 319041254, 787654892, 829175290, 558311183, 696009992, 119328275, 15022374, 951526000, 561938306, 132415036, 432849335, 791678546, 781980, 175616839, 1064994844, 402541021, 1054169817, 242156522, 201582713, 82440549, 566916865, 678877369, 428928249, 616230188, 457841568, 663573668, 737707442, 541006054, 491366354, 142077018, 813794842, 716404323, 551628946, 509883750, 861031102, 947436540, 1026317495, 1013765983, 899334484, 111077420, 556250063, 468704308, 1037369511, 171806985, 731306723, 443099218, 46623391, 905082324, 704339637, 484278293, 697833945, 984159167, 582427727, 617103373, 94210592, 218281358, 813221100, 299845783, 989646367, 675108689, 580095926, 176697224, 395406540, 163905189, 973738066, 1014611406, 761510725, 1046239909, 144622225, 954228515, 237169629, 231501964, 528434789, 487382985, 157548902, 692567597, 4183975, 440578784, 672329673, 395996621, 360236202, 270235195, 1039530156, 967191718, 63799603, 984866312, 281141258, 309578762, 7937183, 223900797, 434407865, 428336052, 1048998823, 503973511, 192376684, 546739298, 947693701, 122920636, 862389167, 845317488, 360909978, 667512625, 1073545794, 454536263, 830293132, 499477604, 281287594, 624799070, 813157, 150233525, 837692426, 144080615, 965093651, 472217887, 73632658, 835296859, 340152154, 712083095, 434045437, 24059433, 849386544, 762036120, 1050169195, 729671373, 239831885, 735733725, 458810097, 472452764, 585281401, 498965190, 759033233, 587015264, 248991244, 127161586, 689277368, 1016203546, 270508256, 472157299, 1016834113, 923892227, 130322164, 370002037, 99080193, 21362732, 404052247, 1058341966, 37803046, 748437185, 687944263, 676663501, 641187102, 953765056, 495311178, 626073980, 816186937, 551757776, 328022965, 842158913, 313806081, 373189055, 914205268, 84157985, 316590637, 909606194, 1007853048, 883240297, 981943823, 540633522, 1053640995, 372998195, 555868874, 535108614, 1066015372, 459265284, 319230984, 777404033, 469813616, 920045532, 128438600, 763840386, 934672007, 310669409, 90783701, 1061159174, 74175564, 589387915, 325447842, 504276269, 664901011, 337536773, 764211606, 77431228, 538406831, 301097770, 828891565, 582841441, 780772534, 286773816, 447785004, 158312318, 341032067, 967562415, 974872537, 1009280877, 497414939, 531121798, 266240668, 612599287, 718669105, 486458371, 881616836, 486842030, 882673252, 313916959, 153924221, 52535709, 678774961, 429375532, 574925552, 364164372, 114384865, 500030388, 533023083, 700881257, 68333144, 333986491, 246379238, 346673564, 627798764, 302553861, 582434227, 191285933, 473168218, 917377937, 198835392, 429500041, 631768487, 292366204, 898346907, 300729326, 61920281, 559379280, 767931972, 387134768, 284752604, 783257047, 955152515, 764316881, 802291840, 505108541, 391203896, 962193807, 353051468, 963460218, 522946333, 43646578, 681980209, 426464251, 874625450, 460324595, 106729939, 281114959, 60780377, 299960050, 368136144, 680243002, 424189073, 138370121, 256230254, 922192647, 717956464, 659212996, 242979205, 340593138, 616689623, 953807974, 828074471, 282155702, 71691826, 846231253, 291207480, 973873080, 893551756, 314546974, 870789663, 509169810, 644626315, 52302515, 367159804, 717087055, 1069506699, 570823527, 942419013, 965097682, 655685459, 119688583, 1039143990, 120415398, 579059869, 974181030, 431822867, 319858226, 634672640, 973504282, 469552293, 697508320, 31054298, 551793765, 541914223, 1045480781, 328584647, 678153225, 292914308, 111437136, 994057467, 198087441, 788653769, 529801002, 5890568, 81330345, 490656859, 1041188061, 830732195, 915841630, 384904663, 1023055296, 971207891, 498291466, 586485888, 357196277, 814136029, 169668587, 642638064, 984466087, 236597449, 363565983, 540434782, 1024794562, 917148500, 840270101, 635687801, 491630048, 78002436, 187136932, 1014310290, 1025248762, 737137208, 38050806, 930440544, 191462850, 271858434, 589487875, 902468685, 936971885, 95979214, 660921364, 152228370, 457421281, 1008515874, 972069909, 1065351808, 686264925, 599122100, 537365613, 675004681, 364828003, 136082907, 614672232, 617319726, 28703586, 456344016, 941652387, 1017323587, 477658398, 305482989, 440805692, 405074409, 779889087, 622311928, 333932653, 720743010, 976228114, 922036394, 900766676, 805818422, 288149115, 281382542, 123483616, 708056887, 110650135, 727532734, 667364457, 585119549, 178348561, 25446033, 632962587, 349866262, 934715996, 321535881, 1018523677, 1032403639, 725919482, 201564723, 715457010, 332843259, 960514308, 961421393, 459070843, 201296605, 92359099, 1054624803, 435173356, 434437045, 992932993, 419178240, 318034799, 872460703, 892649445, 449984380, 543511856, 256148947, 110847188, 646241369, 218750761, 323396660, 1022140021, 765509906, 538558348, 1003544550, 156151, 261539903, 598255243, 395121001, 955933956, 222251407, 171620678, 347690621, 864765941, 652235763, 168009596, 1061604394, 98922851, 525853926, 566124391, 645476733, 686111927, 741185807, 451998288, 182178047, 305724736, 1069976633, 40316467, 864235193, 499805687, 193774067, 226843653, 278780080, 184656221, 175260146, 286008996, 940990144, 223044773, 591131217, 622200120, 260572494, 702286239, 4848290, 679818295, 251125243, 274973700, 821558807, 859391081, 413457807, 774071238, 637928352, 266865167, 529039078, 95199407, 505368707, 769723256, 169240933, 151842646, 806429879, 811478310, 483554461, 102947001, 111517133, 338323639, 428462261, 530495511, 97324508, 171304358, 717949885, 973942887, 835499286, 853461781, 455862401, 620489939, 1036630952, 757601305, 748845039, 650340276, 969428442, 987511854, 660974834, 168143555, 640201531, 566620699, 647473165, 839184450, 421939774, 441973286, 958295878, 428148425, 695667509, 216120887, 830744453, 1062586470, 782667132, 730429067, 7438703, 109493629, 115560840, 126175059, 59130477, 391401548, 368680747, 412655140, 574643817, 694352108, 483147548, 151624448, 553264841, 619977066, 435036536, 397428122, 610393499, 1042402398, 416397769, 1016982069, 529412454, 165890481, 525082512, 619469479, 116723887, 1021546426, 174637058, 744116313, 205907168, 363286161, 610036131, 164683587, 428392635, 530221034, 795580537, 572804243, 376986299, 557972555, 116947680, 129107523, 272276933, 630556284, 885606344, 428798093, 833755676, 240292471, 148207041, 622010081, 1028142995, 622784708, 200025383, 124122796, 77941077, 265447044, 100884283, 948517894, 104466353, 369579046, 105903532, 452423738, 981326028, 696313277, 1008507998, 248556844, 165042586, 709743199, 1066573196, 427970536, 859979219, 73629428, 981241007, 482667454, 709456163, 780238537, 1049815011, 171521448, 1036050401, 120449658, 367312151, 1015931875, 455730796, 985365694, 336989160, 1032084486, 573479348, 606013853, 1006604878, 442581582, 856440374, 236744200, 489670580, 554198933, 844731132, 93517285, 313007325, 648924548, 992771533, 737484790, 119809786, 392335155, 973943930, 620882122, 317402688, 820164065, 59931164, 110156352, 337478304, 590810674, 992858391, 722688693, 498246393, 385477675, 118716097, 551989891, 309661836, 489879385, 794092794, 169767226, 373360320, 740654259, 931221549, 818752722, 350624688, 460077746, 313275264, 925553267, 357142319, 1009343241, 994246202, 176260550, 531813655, 600797294, 867007343, 165536198, 505606878, 195923736, 698728915, 249516611, 772744016, 409830055, 996978204, 756490121, 320174472, 985265996, 662890812, 286718302, 625696989, 389663716, 243180048, 970447164, 577471162, 764013931, 594088606, 183840356, 877651227, 520646057, 608409137, 250917548, 964906517, 952334985, 907454554, 611392151, 683050521, 767790059, 645600268, 870060645, 330776729, 467861533, 383269724, 855831343, 266854558, 974204828, 754831947, 444489019, 331979787, 368693640, 368030196, 228720628, 197700959, 63189679, 1058781142, 638721687, 361660496, 861437868, 351647169, 1043024167, 229681726, 513110876, 453773301, 482920084, 437996066, 522404467, 984057397, 615874270, 73283436, 816316096, 1058899627, 849059729, 31328851, 297452808, 403245630, 920782993, 929504676, 266248333, 275751604, 189483167, 799970504, 297932486, 394151142, 1000518807, 257034768, 257152234, 811916631, 1018962791, 160566813, 1018757506, 651951085, 1008906, 828334607, 821088855, 721791385, 336885534, 483657195, 603218806, 417077977, 855905183, 714390624, 626900019, 536567380, 703782690, 918129887, 1039862925, 440246908, 230194862, 147024484, 707460674, 313445441, 104346151, 1040563695, 329618097, 280187671, 999611858, 180511110, 886839671, 564474374, 511236390, 846367522, 230296423, 879875322, 609460305, 611980039, 686349561, 55635025, 346275096, 765540359, 612543616, 583182302, 528597149, 844665300, 818955455, 714203268, 401407839, 198446719, 764591366, 914286334, 1071829149, 866267098, 448400520, 913914436, 898217190, 297449206, 334359439, 750745446, 159898015, 735271669, 778537982, 72649288, 686555924, 890683664, 367703412, 62733102, 432595851, 840243665, 140717936, 492572592, 931046892, 921734730, 871109201, 800884888, 808788345, 847523049, 34728197, 490463156, 773449778, 225171863, 764348046, 722199888, 875450523, 259609143, 316735627, 287177110, 168158629, 162731255, 309543924, 989142115, 11962712, 536722116, 972460504, 653409161, 72960421, 429960202, 984386132, 50667169, 1003866693, 831081944, 42187767, 957636208, 247921456, 444264915, 453996116, 175356837, 766084349, 150304621, 933336111, 637188925, 715587629, 645817497, 255297663, 573608434, 572825762, 483569143, 178783233, 738701163, 1031054166, 583046956, 99921353, 127992708, 687497589, 868313472, 711919383, 704963074, 878926157, 903352238, 769203238, 48873832, 3999886, 162441664, 603904064, 510835179, 559399923, 417763922, 1010665037, 1050957122, 226274311, 583592997, 775024406, 773708282, 41306642, 121537287, 884388427, 646560370, 810652151, 650107845, 170609291, 795294557, 302703569, 414558544, 436480757, 333848621, 11980796, 415935822, 149855566, 726063479, 455463470, 273719147, 432201895, 1035353872, 914091245, 777239980, 95576021, 189015455, 17093820, 927548200, 399585413, 723664752, 974282092, 876668256, 849971236, 895403054, 981896700, 71953994, 940794593, 465592116, 140521480, 1020864835, 160558262, 47010379, 555553347, 656658449, 633203293, 959393285, 81882742, 772419740, 761301673, 977543766, 771962963, 42486035, 708197551, 367843342, 777935873, 138875748, 766300734, 858398714, 982717995, 394151230, 86568291, 705494867, 647581428, 249769550, 51204524, 226555273, 371244983, 563089671, 465900890, 540868628, 652148772, 984033027, 383180052, 562875001, 457734860, 973691404, 515623741, 53746000, 621135250, 235538580, 924966823, 436729190, 221788432, 25202017, 819663743, 664184396, 832839581, 528154823, 1030674364, 916118274, 1000695648, 490145860, 683390273, 60774967, 43955087, 344070021, 271546717, 552206518, 745793056, 136710279, 397270972, 820924776, 888483881, 214684256, 653424970, 974882217, 36416159, 240635591, 451050211, 153248559, 471064290, 802626008, 565437119, 510368720, 645943266, 141735696, 386755735, 936164317, 858788364, 962035389, 325040556, 865203462, 236902692, 376246542, 1061517354, 249249450, 414821427, 867197388, 686718657, 188254039, 781532081, 615302371, 79756138, 22796153, 443069334, 411571543, 126751340, 952869997, 922638163, 817915644, 659595915, 694403196, 127652145, 771045109, 185838308, 515165566, 374460051, 392491932, 684926070, 769077390, 615415969, 872371979, 999243689, 528107771, 603166002, 369938110, 1003782799, 799453829, 473158099, 658891369, 691640745, 768718672, 455143064, 1044543648, 197975682, 493991448, 407721850, 907153079, 682988052, 216450179, 23407666, 790759588, 586380694, 1033940967, 364129157, 691909046, 664533038, 626313111, 410161074, 576261361, 194978855, 1026704767, 396410504, 296622425, 466793038, 34126502, 30268036, 879276982, 281029084, 429800473, 386458451, 1057068669, 435257995, 739629245, 1008713677, 668045289, 880930673, 981025906, 335060757, 147910966, 765958180, 443473200, 818329272, 601252723, 1010424126, 1056649385, 854626945, 1235140, 712953953, 23710942, 994883616, 545613407, 65431954, 239223414, 441748002, 247988879, 839018542, 388878946, 965697004, 899120913, 763315424, 440079703, 1016412187, 499979885, 257465012, 100662339, 502544207, 826502872, 85758243, 902692960, 1023612657, 959226734, 541474632, 413819805, 215811520, 778760020, 683478318, 31133314, 398997757, 95155953, 643928352, 408822147, 634499048, 112402307, 457258904, 660078412, 605221698, 774945980, 49948562, 706221519, 619778567, 849319259, 486926890, 378176437, 183693394, 789978775, 218276469, 388697113, 656258970, 375100208, 279744454, 775698478, 392103427, 349852671, 530651727, 541028208, 340629472, 8413367, 179517548, 549270948, 728874490, 1014279994, 162584208, 676305325, 772909420, 99429463, 953498220, 579293458, 736717868, 69603457, 392762284, 804482432, 443180426, 404318894, 383094368, 239405181, 66487710, 535607781, 105477250, 931292719, 564771134, 155644855, 232497807, 703801643, 64317924, 604041778, 486608899, 508396120, 402928758, 187839412, 436894620, 874931262, 766224126, 476219904, 62656064, 953755509, 248491352, 683335842, 590836501, 127383545, 756405032, 701135033, 1000036654, 455329291, 406578130, 166833981, 454464136, 1052381675, 376742015, 444365437, 540677756, 121028062, 75510894, 225053553, 975797492, 321973294, 1036776798, 620783718, 1042368514, 1063230168, 485795845, 372901709, 1001982725, 436237508, 556369588, 947754939, 256417498, 930921363, 503180034, 68288953, 79194823, 22922477, 434591191, 645431406, 193633808, 626371634, 265175028, 1018951715, 636483575, 857445609, 27115585, 2133873, 836182651, 84677633, 730302219, 658325621, 1043861945, 629023823, 326685708, 948363036, 682358956, 441860929, 272415312, 1047493291, 179366292, 1046463451, 97853914, 764782025, 917027341, 619015555, 687436873, 410391, 774956938, 981065260, 18048594, 150045283, 372463021, 393044576, 420471967, 223638373, 984764468, 960689351, 215076594, 339616725, 1072396681, 195720234, 480358009, 231711664, 725990428, 1000474473, 31967796, 132359092, 506463250, 880278828, 496609479, 649316843, 495856816, 582202001, 563221222, 982526444, 72017365, 472565755, 501784686, 572160379, 67154798, 561884469, 402992958, 283137156, 282596267, 236088947, 554123637, 143839040, 846722001, 1005782824, 521038765, 932713948, 695523209, 543361313, 1007734567, 186091618, 22023707, 373389426, 733180249, 592146143, 28881286, 196912612, 211621200, 781686988, 463406088, 234298788, 254411506, 719197120, 544931850, 674433527, 616678035, 28656832, 642976676, 552688336, 781362112, 207746796, 335593708, 339236084, 789131834, 789776325, 354179190, 515783913, 157421911, 302032033, 512470290, 923875818, 164292535, 892783913, 452260838, 844882096, 691502284, 251031852, 985970539, 255612193, 942179088, 521216463, 116845496, 645831560, 279968590, 837065923, 713722197, 476932432, 389250775, 800163680, 611989294, 29946273, 648765566, 911298822, 144447804, 344082545, 433366591, 71368956, 580166309, 176664892, 1058637990, 351901937, 663584775, 446907894, 966977005, 35943852, 1003707222, 435787794, 638758375, 868629946, 22068398, 509369026, 308025111, 780123940, 599724568, 484925849, 599786719, 847196779, 874674814, 139361860, 601972472, 162630346, 719314863, 156390855, 930274867, 487583440, 317369129, 200923441, 411227970, 1019433625, 121171217, 568885880, 836553051, 175407018, 7899654, 893251181, 409437377, 383053459, 346223153, 508648278, 531279423, 934763609, 837165800, 526249414, 226259924, 598591581, 374976642, 948207249, 656967840, 927766073, 950049222, 804859528, 637199665, 992129085, 647312112, 165672105, 559218187, 546959990, 931192225, 942649975, 340141866, 65442273, 128094952, 38292438, 662955616, 376610717, 718758031, 300460207, 863083626, 986722258, 442043047, 631178072, 454548856, 892171778, 41811167, 312621952, 113764969, 577512518, 267989489, 1058653560, 114061217, 886405484, 687275555, 662955137, 979463148, 477077897, 675069578, 677246672, 126734492, 531453933, 282842464, 1012602081, 183375559, 694402818, 351090768, 341100060, 120078805, 78509799, 294989943, 13047115, 754710508, 189680555, 364446809, 277140230, 208918419, 829116433, 591499842, 1061102915, 308069416, 502008645, 84555686, 842882166, 792483192, 220072697, 1023666756, 456283511, 475314215, 951620764, 899871050, 226834044, 866979949, 501639915, 302652031, 43704988, 207445538, 794172312, 364853908, 620318316, 844097515, 959596010, 819981864, 1072584819, 944637927, 411446684, 958168479, 805172493, 815280704, 133788345, 853967590, 29468310, 319546531, 805264898, 244428863, 1054284889, 198867228, 1023205982, 323036064, 11325387, 946015827, 29946006, 213499537, 608619265, 1061842083, 457406238, 426310406, 176049737, 618733055, 481245899, 31738847, 202603395, 409238808, 515221511, 498621085, 500648852, 784477224, 1052367705, 583706650, 793838370, 865837968, 312568400, 834534508, 1040225524, 548921964, 107743911, 721367088, 208928773, 777764343, 729673818, 919312665, 601573086, 1050503442, 226197182, 1039526102, 221728118, 796054659, 985741144, 193101299, 72608159, 291921941, 616697695, 609090752, 883027348, 185080361, 887593765, 496959959, 12284649, 40465725, 684183893, 116409676, 862813683, 1057936469, 403889542, 505896713, 48249123, 302404638, 320072743, 410325754, 314206740, 882147421, 611815120, 236039095, 828601660, 350379969, 304857887, 472473971, 1032065915, 265700251, 565665924, 1042549767, 284810160, 249040457, 645452850, 639966322, 536256261, 469813673, 182660933, 264836429, 520912972, 212505260, 528347783, 359279388, 628101735, 901670983, 891471211, 963408487, 780259397, 619215246, 660306497, 20630453, 1026478652, 407161425, 576729063, 271555640, 914406091, 652774498, 141464733, 327327353, 158672641, 352717586, 208600111, 1030928318, 712829560, 267546605, 560019144, 976502210, 596894498, 61427311, 335438183, 420404313, 574121300, 1041658222, 417430225, 301443895, 834669065, 526530862, 686183515, 191209729, 268212366, 681165261, 82673336, 169369652, 684420814, 211653258, 856393197, 972820742, 466533132, 777468917, 1047708496, 777866517, 61965098, 814919044, 429554576, 502924321, 899502208, 701926271, 350170368, 601019011, 147041638, 229402653, 153038532, 459112089, 31062984, 868053742, 966033868, 343229572, 651077673, 901429941, 297282448, 280877329, 650055121, 396778686, 351563250, 547375073, 1020723047, 1056909752, 313514477, 1019271429, 868388158, 156696560, 578184033, 809395411, 988322541, 976034203, 417357224, 949784994, 825401371, 678380117, 637959619, 562519277, 671225501, 476937449, 224923292, 478677895, 125219694, 13039399, 193372101, 243081441, 1001983536, 374804286, 847779059, 584781700, 302920629, 243060154, 347591847, 819388777, 965140928, 34235028, 967331594, 709445389, 637526643, 562176711, 804119845, 858304222, 93765888, 811899896, 826114558, 275498483, 338171770, 186235742, 1008308795, 137805388, 402532972, 341208434, 566375043, 73613291, 479182940, 743241915, 475837629, 523005822, 925597222, 406291531, 1003104193, 274717376, 1032988425, 916799020, 321241321, 420353422, 660745826, 305104769, 729883651, 165727751, 247967367, 511600595, 15836641, 657507325, 930228993, 356053493, 16864016, 551189797, 972516843, 129330824, 215248034, 1017293786, 168664061, 84906569, 664155321, 579980925, 632144559, 332106942, 796028609, 775547092, 716383428, 946213603, 940825453, 36378396, 822478162, 74179810, 771374841, 325788417, 41296757, 253120937, 837200989, 820821430, 365144687, 434864167, 866351374, 1049030033, 237112124, 678276490, 95474591, 378761019, 459245273, 95661808, 277565918, 284596128, 77208410, 29405695, 382587955, 986822992, 783293179, 600448565, 698041619, 357245233, 373470303, 625526718, 993693983, 303909214, 780304424, 803552459, 230152056, 366376716, 447925726, 73874524, 766886281, 303533565, 166850108, 619920719, 326930574, 829937777, 511734649, 771861882, 333184488, 997394789, 237591959, 182929351, 544603730, 86492159, 672158137, 437245430, 1010873942, 673084751, 481539259, 505952091, 599922278, 1037714109, 902852510, 245984021, 324596555, 888347432, 600660640, 1017537430, 779676589, 34320443, 703684668, 99299016, 820734821, 32982417, 421127718, 498638922, 102244284, 78112573, 676900404, 531975959, 824770963, 619509307, 798117866, 585848254, 114465905, 98105954, 962416377, 200682115, 702124278, 712901219, 564783676, 971392052, 499239498, 1069799214, 14601899, 491096504, 781734106, 57450156, 988752473, 605313104, 1043710149, 836649176, 385647355, 414214559, 153767009, 1010032788, 183372657, 121061047, 302923876, 946475272, 34285524, 390055841, 999209143, 697138605, 759178117, 36269761, 346552526, 611036734, 226105311, 629263420, 179505302, 687133234, 792427249, 328684580, 1537640, 666668258, 483433588, 413280790, 91118848, 124441106, 569682554, 801672573, 434854478, 247736839, 557023410, 805862064, 850329371, 972681050, 398349288, 389819299, 448066937, 497304396, 84439733, 469126611, 631093174, 341544463, 306175064, 910296766, 687151050, 879654718, 270861839, 724188804, 149063316, 217660549, 1048427531, 525140816, 832197875, 372411940, 336375012, 15636202, 844900837, 245367000, 364912637, 898133371, 136869666, 1067307103, 104174706, 559383767, 792327427, 730077741, 133490617, 13672533, 16613660, 775428676, 770664219, 598010480, 396500826, 255983032, 705027447, 816952780, 383801866, 866687073, 694858740, 33065052, 295923619, 19342575, 339797169, 538003147, 5083037, 579972955, 768433323, 249556385, 960765800, 963589241, 525777870, 687972625, 987117734, 511794439, 290484487, 282111616, 144921270, 884282373, 1051394173, 3886953, 167492404, 1055910179, 860848129, 91650709, 1054832613, 936603421, 75324675, 421399373, 807236561, 74852363, 966128813, 130043210, 736561754, 126902513, 669062431, 492198836, 385227094, 545482982, 411571914, 218580464, 673224447, 813145239, 155392311, 524254810, 156542435, 943693273, 319776357, 876915534, 738738300, 621256115, 147700796, 710461197, 945310618, 720687546, 832149319, 1020862448, 966497930, 977831618, 322620175, 611601336, 241356433, 205593692, 128288394, 467053050, 175360943, 588581355, 1027441537, 1018006781, 343008116, 468516819, 658267690, 539886470, 572647547, 303432781, 570573186, 411651490, 928498648, 953140329, 93334536, 745167536, 951115696, 38654304, 472423795, 271719570, 412006025, 536556369, 380298168, 124346770, 257025693, 813398583, 1033924222, 906442972, 541726272, 896314932, 820662288, 629773296, 658314920, 789259169, 972908966, 1041161942, 711383549, 855739738, 152077212, 385806009, 265242089, 727947301, 115498333, 47780980, 374430273, 535465172, 901414291, 933836388, 608168916, 437004979, 437589627, 903100086, 163365238, 778597814, 701534887, 656493285, 543772590, 1057223913, 175123085, 824591851, 718424378, 846491829, 711051087, 919257780, 647260259, 34181037, 611755647, 813729827, 174734500, 921663293, 596488032, 1027606800, 953577357, 222596062, 144849919, 413021552, 2635362, 874462430, 114086941, 705136161, 140200247, 312173069, 791023024, 522386752, 167918745, 146048366, 802264918, 12265611, 726019892, 127505328, 665695754, 23851435, 917365690, 888140875, 487008779, 741729017, 785975959, 468776515, 794776321, 121790141, 269602769, 124011059, 38684706, 597916332, 681198094, 263949896, 300218189, 11823861, 696570794, 171112133, 310692271, 1017683704, 878281641, 319757500, 253303817, 1023070491, 205116914, 1046153140, 182974571, 295922595, 85983647, 348384399, 181030652, 182561070, 750045452, 979231737, 574268072, 609714663, 650476997, 938609438, 104173548, 724301829, 387554298, 974961191, 86914402, 236452747, 91478256, 867495778, 945229589, 172584377, 315651337, 452099447, 1038979711, 947839807, 613187135, 16178312, 318122331, 711678153, 130283731, 560746986, 159718133, 147759913, 714836889, 918523947, 974482514, 686086805, 959950584, 1003074194, 391816342, 742624823, 932406175, 227045417, 344216683, 270111592, 240648195, 332421817, 608721436, 417030649, 728630404, 452496649, 172726723, 117048964, 146828728, 247487960, 174082403, 784100722, 493915889, 65052246, 466637242, 221237280, 8039322, 174917182, 1029999806, 323117282, 252934760, 992622132, 96421094, 394507446, 588031527, 201116670, 19830691, 739559730, 536533346, 645532794, 698411279, 795269902, 565494453, 533098610, 1037153872, 596903719, 506061522, 168329921, 556111721, 660281172, 239815042, 494281311, 739002791, 183006012, 784800371, 607024390, 663344001, 241121696, 473176889, 499058344, 758534031, 655269508, 5004589, 330669239, 104546165, 317472682, 258552599, 441732843, 175987361, 148667490, 854725204, 442527496, 605848388, 99052778, 167504855, 40777338, 342260719, 154587233, 33440877, 773697500, 933486377, 597103169, 168333467, 1004507358, 642430924, 551770950, 835704061, 26022681, 719056113, 526403034, 960022934, 198720464, 177641233, 529296909, 811802991, 743578806, 837409582, 296327713, 412365641, 891456857, 749974568, 190836713, 978518461, 1037097173, 847110765, 151723209, 64734225, 130422711, 491636189, 641230331, 140116649, 928212504, 923957556, 602915474, 587072035, 482078811, 1000116922, 691894502, 262759496, 448609673, 315296211, 653248772, 433930746, 237494497, 351107809, 952192084, 500153326, 734918398, 129410496, 174065296, 334185698, 412775299, 698043248, 638093363, 378918678, 783531823, 600116932, 228107757, 771498220, 920077091, 1021026386, 207205164, 70483363, 3546820, 888171461, 1035928820, 254981426, 602515231, 1072453819, 923641831, 429844350, 345412680, 643541580, 305038656, 1026841860, 185133794, 67667891, 1033203589, 949571973, 692600711, 861140073, 906635182, 849361155, 44953951, 501099332, 625861192, 390110004, 387483986, 420093797, 673545366, 1033210719, 930509374, 986951298, 402963149, 5466803, 767465883, 884687020, 64831612, 318948269, 220778161, 544336835, 190534012, 46690413, 615086286, 343745684, 249879186, 622012370, 1043283413, 413032900, 643526469, 189257701, 387374934, 791437547, 640436170, 965941635, 645935810, 638227527, 457790722, 706057481, 946370575, 275257880, 506882849, 836028211, 494476091, 530816935, 683157851, 2610030, 643883351, 826963002, 1025373290, 581693600, 387615151, 388613200, 701516458, 836465666, 791232035, 208043250, 1023419715, 302349268, 195409001, 957872238, 796416462, 478716277, 323408781, 632144999, 998306276, 246326624, 1169307, 519244244, 254666782, 654338855, 558420081, 768917211, 93623095, 332658146, 684340417, 355146011, 1043810010, 538946105, 699325623, 873451860, 93320556, 683784503, 208254531, 422338506, 999507004, 317966098, 510315013, 538656087, 272013823, 709268531, 138674029, 1067164548, 343951762, 816790723, 278814142, 929548111, 922362938, 903757777, 435392145, 741984699, 793232449, 809367523, 916236813, 846121175, 188651077, 111246033, 357302185, 163399716, 543003035, 767470547, 832037505, 993782170, 827606051, 289523995, 629711739, 923476040, 18735723, 883309347, 775535856, 2381200, 544386978, 853533814, 425964860, 977336529, 38057228, 503809061, 224384753, 1034392650, 845779786, 457570652, 1044262889, 571441932, 559454445, 855923845, 545312691, 78753016, 121514018, 423519640, 128690296, 1056677410, 982629919, 278013891, 1054673450, 183194876, 832497953, 957476939, 214123289, 200865317, 204326334, 305789132, 795435092, 1038767181, 475613183, 425982060, 869862367, 634708165, 672067255, 653990058, 202625435, 51709230, 472588562, 1007570065, 269692019, 760736116, 33939066, 100836217, 737483364, 42267024, 162339227, 292394929, 220317435, 1025066755, 54253472, 719800628, 606275700, 331637776, 277826707, 273011614, 1020762715, 285526447, 561030639, 745434983, 614859800, 646033605, 974578489, 1060021631, 107073888, 227806784, 704570872, 237450748, 605384969, 320818598, 697909418, 42559010, 921639755, 209656795, 756064250, 950787030, 106042030, 56716641, 910664540, 1022388854, 759918794, 1013665384, 929296461, 431784372, 1036123599, 266136823, 543484365, 1025749188, 883099593, 810423926, 707951838, 121072018, 635562096, 157166198, 508757819, 145188529, 115084372, 70294287, 57857008, 447927301, 14738229, 357325469, 354723793, 95072549, 170149711, 81325246, 264257638, 123264788, 277250394, 785099202, 110711177, 634918561, 478605142, 924389454, 876810672, 180995098, 261578691, 657605779, 706448539, 178600683, 688578499, 654733269, 424218665, 1028721824, 962192451, 898417040, 237131903, 230410991, 507357429, 137767754, 206438851, 492613282, 554306609, 371934271, 826127198, 277417691, 990687766, 1019473239, 1025823405, 546035695, 78724719, 672941622, 725202277, 433257262, 508366931, 631725302, 441580845, 255616892, 863949524, 349214761, 876038626, 534758078, 972539699, 718123446, 335282880, 451893500, 571434914, 11332155, 131706788, 607993370, 835917417, 737058913, 378492340, 531813246, 552772599, 267031755, 808734368, 763947628, 127532188, 852984115, 924993343, 33293709, 302046292, 872717314, 384181645, 652236804, 986331447, 159570422, 988543031, 657210973, 38274306, 720709277, 747593319, 578584392, 160558172, 455052341, 887330945, 768185917, 795019996, 637098443, 107171261, 310768182, 967085013, 935913985, 966600034, 342550224, 275126643, 468099369, 125447370, 430597798, 864030542, 709924185, 482997196, 855063056, 324480284, 381123330, 584843523, 1008412112, 819994129, 760484239, 465912232, 1066184508, 497262000, 536214967, 525997796, 994683598, 782201236, 252793114, 793044737, 371809285, 254712402, 582536648, 662191703, 453603503, 614216259, 695963802, 269427974, 24143371, 700932593, 729065411, 320814623, 940827050, 436496938, 949685873, 704868872, 248413037, 1014270501, 117873363, 210306716, 343597363, 185492927, 44441347, 886230283, 609586104, 983340737, 841835157, 766422616, 1034371427, 568907977, 425318493, 930279528, 89869581, 1019855699, 616878651, 807790654, 812671077, 817613601, 305148280, 963727477, 965047645, 1010399505, 244221660, 203588633, 87407314, 155704710, 183449466, 814956109, 909503609, 631892417, 529110716, 546020478, 667206935, 434284211, 837447386, 698298113, 247604684, 842071417, 951027305, 973813827, 366120955, 284818172, 488831211, 931308337, 329169998, 197577474, 517545522, 564506392, 841860780, 517366834, 257160811, 158306566, 261416777, 378497288, 470857053, 372943603, 380265144, 513717316, 654957233, 1058078125, 348699964, 831636918, 463945784, 506454215, 669411782, 578680953, 464177597, 947849150, 701913558, 566701213, 934953677, 707976528, 722520799, 509381185, 136347055, 779350462, 408276624, 697574323, 256170509, 813734399, 475941606, 414258872, 414708777, 658558857, 674704974, 269729799, 268109569, 43748236, 178413956, 870407291, 928960829, 235912100, 967600434, 943106761, 252248599, 1057151129, 975773002, 16295804, 411916350, 116397835, 180221629, 386635913, 492898019, 6227985, 179424347, 527918080, 168065515, 461124875, 201308233, 690871247, 807200472, 1044793368, 815153697, 409834469, 721166634, 757676417, 690550471, 221246782, 296791746, 678298895, 992663897, 240456987, 377778512, 641607112, 755711555, 479186566, 489101788, 364347997, 293191076, 1035367694, 166225844, 582877132, 859523930, 360974086, 645950563, 754485600, 1066700480, 157509224, 427948775, 586205009, 688692516, 737276108, 913145041, 1066771382, 291391859, 1016516065, 379736870, 752384820, 263180625, 1033413354, 524582240, 94763861, 619949029, 103092073, 280983663, 706843003, 975956479, 492749566, 144865912, 290581652, 73919132, 329055657, 214842603, 505956006, 866284236, 658431862, 233552203, 720030108, 780173294, 600184090, 149732443, 180981617, 767801978, 73355179, 33220457, 783995391, 564029466, 121171944, 640970076, 799747107, 82550600, 517025054, 308725432, 60986820, 276546207, 358180612, 646204667, 977721486, 689117195, 211496659, 819002856, 1045007589, 860160253, 360561236, 700076758, 826073140, 903860980, 297254091, 21491710, 439713839, 899879389, 220516979, 409277664, 917604982, 595309114, 499808865, 57365564, 387735605, 901046256, 360516710, 775918308, 161316582, 894791768, 1031547084, 819792323, 681356214, 225298362, 180819882, 703393445, 711880586, 851198884, 710590855, 1010511092, 561727946, 472853187, 295547906, 374287969, 280360549, 623670360, 241519847, 191293426, 419415733, 732845212, 41622730, 1008228778, 35796278, 254648046, 918164137, 143001847, 476725641, 1072261856, 52631445, 1013498321, 916972192, 287992211, 814605604, 910183092, 172425134, 773428890, 890104920, 844858091, 440643964, 330596001, 454164533, 896286397, 616498929, 829296371, 403847084, 611471940, 445166903, 1029243032, 845409635, 510490222, 772055288, 264361137, 463164091, 491874831, 301991625, 345552691, 531230306, 1009224135, 329842074, 377679463, 23810620, 130054486, 524112893, 615304198, 428974494, 131090604, 603130991, 165963211, 209884673, 511378410, 736423220, 651692903, 178284896, 322275023, 183543299, 968957522, 1029829217, 801093214, 244494504, 414168051, 90217017, 210852157, 647742786, 1038998679, 943179868, 936940556, 782283808, 69543868, 734439786, 712163385, 255011133, 3313591, 678840734, 937324362, 698159542, 1070613680, 542043370, 586723144, 592669608, 7548240, 743089013, 280388415, 96978042, 84116343, 1068783619, 755287846, 818184143, 411996032, 816247577, 812999771, 467749922, 360978365, 566938983, 866559562, 297202172, 451718565, 657827239, 284731461, 137199429, 921995008, 61758378, 1030851740, 169396212, 968225692, 666327071, 350347786, 880507558, 297410040, 976736344, 636961967, 30277911, 990400321, 288207139, 386930475, 109310, 116623360, 525802793, 143360976, 990489591, 858493987, 921203826, 281457210, 105782459, 122503858, 848516940, 471266615, 637128906, 913281533, 252570890, 456212915, 644840729, 882770774, 872010895, 84464745, 139752311, 325822886, 100641921, 878543195, 870593082, 397819210, 313290253, 248830313, 379038334, 905868306, 707283561, 299935692, 903144661, 187549818, 65830142, 356183605, 358359017, 124051725, 856410213, 763812561, 520193735, 821789980, 743311857, 665292429, 175379792, 384641096, 554255302, 712335815, 62632004, 86819829, 138126782, 1005824211, 601661871, 127567082, 437018983, 425073969, 513029297, 200411921, 88944185, 271318927, 760270508, 985869145, 730509736, 1001964516, 499962719, 859095704, 113446596, 786732264, 106984792, 1034070616, 271150928, 999694292, 386946182, 588921301, 584356547, 192515087, 62085893, 711615512, 578548194, 423182228, 898584830, 1005094607, 1009802373, 150096694, 757210434, 518887415, 658341062, 276764500, 579619541, 164120460, 627389045, 407553809, 303982658, 813382638, 130184176, 929616297, 307002370, 388789750, 419846310, 505388448, 641441641, 931610985, 884550276, 707025786, 492291973, 524290317, 466679743, 160972883, 800228025, 729150777, 1041515631, 818753867, 666015506, 65850264, 208386753, 922863717, 204548582, 103327624, 796591097, 793516918, 139414351, 954756023, 684349005, 1073628117, 245973128, 345485492, 600598866, 392291053, 525341841, 288396733, 646839287, 898021818, 1057251628, 1019202385, 1024185691, 75559834, 795013465, 207986677, 19639794, 513600050, 988924830, 1033344630, 562479730, 651809049, 54337375, 534769159, 349711702, 826540474, 16607476, 970977969, 447906959, 633655968, 78532877, 1000359423, 275145484, 131413946, 655051323, 585968960, 680699890, 580874287, 82848525, 194210019, 615884124, 165366680, 890132491, 194921397, 733616302, 1057744862, 756668080, 323839655, 979951757, 101502840, 154650614, 657359055, 885358730, 892433759, 195679667, 903001302, 680027451, 481056811, 955945354, 540891723, 217709645, 567854845, 526799310, 1071324153, 773708408, 538203632, 795194533, 303414781, 557545663, 353694527, 717463822, 838058969, 671386671, 291710141, 196730104, 566536573, 1005662234, 888247561, 720645320, 938446842, 205917828, 249398505, 213288127, 88246098, 831729505, 317600772, 427463008, 151731344, 566651208, 190638145, 716617337, 794250367, 166929967, 1055461187, 815727811, 154752591, 150136083, 195143727, 773299408, 728834317, 248063265, 769121645, 666661099, 90298921, 569837177, 1020569420, 459395736, 686614735, 552523252, 661468167, 36039180, 32756565, 267346467, 1073565857, 238982136, 179113780, 863808577, 736562438, 994327183, 344354961, 791286501, 817885409, 727999761, 1012859235, 669683993, 745050079, 532185884, 143829297, 454844567, 528318491, 533336930, 1029891808, 328358062, 606941447, 1062388202, 976750685, 345565090, 864239222, 480728620, 22082881, 527541918, 454720305, 481982236, 963264619, 577047041, 1065436151, 42201932, 294783213, 460410075, 83122826, 179068434, 714581781, 901754007, 700381706, 664745621, 130552961, 793466270, 412547844, 522643171, 534130743, 718820761, 1066132062, 498268219, 721789071, 1012539721, 227090193, 239506903, 627008424, 1052060235, 950343743, 656439335, 997047557, 488428098, 665601861, 127468089, 679187528, 448469717, 343349427, 1039901118, 544238043, 327200619, 606630995, 357468777, 1052989648, 1031908660, 260385868, 526316480, 781165372, 942898705, 932833167, 799943104, 675134339, 1033700596, 364741820, 150613147, 113948438, 867584257, 262463005, 220753058, 233149985, 229659610, 607151660, 987025149, 849413035, 951523821, 132587622, 277607863, 584060854, 594547030, 358240660, 182885397, 51914118, 434434432, 482377465, 539290361, 199183597, 886341441, 403395029, 716658029, 178051930, 596389183, 594991846, 573113966, 930102523, 534682891, 504813290, 151104915, 312358505, 128420250, 542196714, 890366286, 749861048, 786170842, 1996163, 46195444, 629324170, 979957374, 68808431, 190412488, 243958526, 282834719, 889922087, 747985236, 32120930, 593625310, 844955525, 463808869, 294965837, 268919148, 2636529, 631716227, 123337753, 475566128, 962416932, 925717523, 347654095, 42762089, 37955597, 399826955, 707066363, 272669992, 683753225, 338323419, 271187062, 724403165, 907286306, 958218114, 900543285, 301851212, 924142396, 772276782, 329032049, 232062470, 268709532, 129220802, 434736960, 940791755, 422877030, 630460413, 948627791, 406437866, 922692577, 609371371, 505262817, 528248581, 963265118, 658355082, 137061295, 432780659, 670253190, 341297256, 488115966, 598406728, 690057060, 115832520, 361688964, 870754801, 655995407, 846599448, 385008542, 106192428, 348498360, 772092057, 339753668, 194339111, 926799822, 546396925, 550878575, 115535954, 62403896, 581256899, 255944854, 420878966, 885466841, 418403944, 120268020, 350503554, 622037845, 1052572957, 263356991, 42074017, 506939235, 964391654, 977231912, 359663953, 760364490, 35637915, 477198430, 1047551849, 682760396, 795000968, 843245543, 143410317, 807746853, 98604649, 533745772, 527704891, 879521136, 872463153, 146663481, 111214554, 424495880, 8147058, 414826381, 780318316, 624290964, 636551108, 214609933, 757085050, 383893825, 723093902, 599004153, 638907752, 949122412, 646641015, 349682724, 860064151, 923447287, 549870205, 229196473, 881405390, 613076408, 376972540, 884225579, 682668611, 1072353423, 64038348, 511637266, 595405195, 309087141, 736905143, 345780793, 1030707103, 142760283, 903092581, 7908740, 23092825, 356078483, 906932561, 397645086, 1011229657, 423156825, 286129883, 740793571, 238945075, 752338057, 990829509, 169835852, 230809999, 373759086, 85673862, 117518230, 138137888, 985837047, 1027925231, 79498131, 93036178, 609848691, 16978361, 345335574, 20397765, 457344305, 475447179, 4604083, 580268597, 809067443, 1014434852, 403763762, 675387965, 302405533, 499785806, 399749719, 332657734, 13160108, 78530896, 891868771, 919195334, 717360409, 221888113, 905280531, 435756738, 608182375, 306228053, 210211120, 524430464, 75996336, 790260742, 830315045, 48513789, 702294241, 518624807, 162824155, 1013340052, 61444177, 501814744, 737419260, 1030480322, 1048815969, 602424001, 528457487, 841838769, 53740976, 980230615, 13056201, 798928060, 46553433, 95544650, 1050359890, 797115623, 933798557, 253111615, 851722939, 1010319726, 966702876, 472941412, 401568844, 897492442, 866669353, 238057692, 979392157, 433335686, 860096136, 665435351, 45006927, 99695799, 429607084, 631686155, 716061699, 211134490, 25217839, 481944495, 813514380, 1009914249, 302999129, 1008094385, 118374228, 29588052, 707946241, 186590849, 825100745, 558951535, 826948751, 806104146, 488163948, 88496264, 1012690379, 827532017, 222818614, 189211777, 624224021, 943902230, 848261403, 19009322, 904442374, 967079315, 31817756, 921240328, 492490294, 472210742, 497368553, 740049812, 92838901, 880556719, 340907739, 1072494950, 534226516, 1057248469, 856051726, 552588947, 1037541534, 930826763, 298703761, 1060371845, 274058403, 708496893, 991939922, 686936681, 535062745, 879362507, 459804233, 456738861, 558895605, 655913475, 891230329, 450634403, 935785448, 790806285, 1067764338, 647950318, 558605496, 53424655, 979827203, 205598152, 240251532, 425515731, 757831493, 407609321, 53518566, 921196551, 1059620032, 552424997, 534640013, 957831928, 106121208, 689422056, 586312402, 558242340, 894734661, 845863648, 112959584, 833266564, 587430091, 278935495, 419212506, 925530329, 108283035, 405240515, 377532315, 55340311, 130799517, 392188644, 62387087, 731213279, 81410109, 821010005, 934336519, 232937256, 622651415, 304793587, 199359139, 924379459, 831107238, 196664321, 222118966, 399564935, 672093932, 428646719, 645339776, 727350209, 801061379, 812124060, 774073290, 162769241, 664595817, 876338784, 1006081550, 786888737, 752999290, 686585875, 776186746, 561634179, 107860174, 461608670, 160890301, 458387005, 649535518, 745524923, 885786166, 848357540, 97195697, 335482399, 664382596, 18185919, 619886075, 893744859, 363638727, 41773729, 825750716, 681537041, 897172053, 28270344, 514377321, 393651096, 180163990, 347496723, 1009414121, 906327419, 539023449, 975359759, 1072461977, 401831713, 956739566, 159412378, 570909257, 953865760, 233174328, 256461165, 751220143, 204865076, 665074145, 365435309, 62582983, 244294912, 543176972, 779836501, 690781993, 16886720, 314154844, 1040035659, 521939578, 450061982, 829859694, 891478460, 824674649, 1032595903, 287100365, 1069241089, 176522595, 51829251, 453269844, 971217551, 712244822, 651823724, 812032264, 862018641, 936812345, 829219921, 483698670, 721002407, 306419420, 1059374974, 11595025, 511817534, 992457377, 950926586, 652807767, 142434501, 311645272, 175733707, 144409235, 810106760, 784521710, 370307838, 469247758, 378812268, 620803029, 396934898, 298884061, 129363002, 689800058, 588853991, 667341546, 1013792966, 501747059, 556897580, 909737974, 163574633, 373854037, 40447312, 198369812, 426704810, 866294179, 677434613, 495065549, 990915083, 674414294, 536302706, 157653029, 689770802, 610130383, 888950721, 310443817, 320501103, 167463148, 440684174, 592684001, 67929257, 41666994, 184198199, 5500646, 504897568, 576613527, 515019936, 53864954, 83525272, 866669554, 16361878, 582718318, 440922622, 901235537, 992886471, 738379237, 290831365, 557302473, 661800107, 158526091, 6979642, 375273778, 937404530, 895897854, 79677743, 150799418, 286704947, 147685920, 604586395, 410240680, 653122600, 188547410, 214235188, 758921802, 250243089, 87051747, 331094406, 246053439, 517976651, 471765178, 518488353, 825954043, 664343630, 2860567, 825394615, 490554924, 715052245, 687962838, 180031395, 434404122, 587470841, 715101593, 197481800, 139132933, 1044193193, 509610414, 3876738, 332156577, 422466192, 560253517, 732859167, 619864345, 332741547, 448893532, 712423227, 72492611, 24993829, 530474229, 924692594, 31911672, 114338655, 613853144, 344768464, 268385322, 767877644, 294985480, 59329604, 228725386, 543157447, 496028043, 1009537382, 83952177, 870935751, 612120526, 428616137, 335272143, 994853580, 414244076, 1006353201, 145936169, 79892536, 1018929467, 983552471, 827490827, 169403857, 8818888, 295276842, 986887683, 840712506, 458934443, 351004011, 86831405, 59451037, 105502014, 134524970, 865090023, 15473131, 817128722, 68027467, 154700131, 539210256, 714935834, 550233371, 114763804, 706331631, 58325648, 870297661, 590381650, 97936386, 296601653, 505381320, 625772601, 892215201, 83213808, 614746051, 234052329, 576066767, 494557220, 423435004, 608661196, 981812199, 921821441, 375976846, 1044209016, 656639752, 116468801, 1071047480, 181682411, 395687985, 388987015, 591989775, 651292450, 272321940, 39716444, 286889026, 758895107, 885556032, 711037654, 528758644, 263512899, 288026782, 815664180, 822336265, 100729114, 126410364, 288641045, 148439361, 916045762, 120251045, 33655981, 493579839, 834775171, 208137849, 844564606, 41193025, 398869231, 64381550, 740968626, 772823457, 707263050, 727317711, 250438489, 324903893, 625923093, 78277429, 151623209, 901521515, 759184682, 681595073, 178299445, 181963941, 433581378, 734599010, 1000508596, 651751379, 256676897, 383407048, 699425990, 852985621, 848535960, 422305948, 417310764, 215448235, 207837665, 562628048, 376216288, 918358153, 224650312, 336413609, 699842143, 725765647, 935712002, 429094938, 683308935, 570816842, 874066004, 860143098, 417961000, 533344728, 498517668, 615036258, 76394003, 261526617, 520056280, 803221836, 180955101, 380248742, 857685518, 998575079, 650068791, 422892892, 758541311, 202875679, 779882293, 202770684, 9478768, 32809104, 450455799, 219233846, 541565562, 957527206, 33696035, 434750789, 1022412218, 566883659, 657276131, 751269895, 74217654, 398825161, 231380877, 232586904, 136029033, 877207842, 2313843, 9043419, 614332311, 532211329, 867965553, 536818400, 579268186, 592713481, 329083386, 800272748, 94035072, 830547732, 597222071, 64714711, 541022615, 92457404, 321022373, 24618442, 845622444, 374162718, 462726091, 462905195, 826329290, 996175741, 474656757, 585393623, 287252606, 479038235, 580636050, 433304398, 237047002, 95310117, 822045202, 56459236, 658508613, 870299969, 385729189, 436426661, 146182506, 1015016455, 756968509, 500620868, 572361510, 156952343, 885954712, 178333234, 99050380, 753038518, 605380122, 542719535, 971122464, 910887417, 606233915, 574125932, 258045542, 582539253, 640018827, 25150269, 324685150, 878680754, 967429090, 223633359, 70647528, 473202998, 135729, 165424750, 52274754, 228988735, 142076720, 1016454665, 775916486, 813852184, 760271941, 252791498, 973843507, 849829028, 473916863, 398631904, 39732935, 319652885, 610541926, 922095572, 744858866, 850354409, 378695462, 340657450, 995202096, 832346941, 752868886, 1010841965, 618607962, 795426231, 464231868, 311317744, 833595151, 266389143, 943078190, 686578993, 1034033620, 1042504075, 479396195, 421688947, 550751674, 210365397, 418279920, 1057084050, 622192267, 361851251, 825735728, 54965257, 1064401504, 987916221, 701770102, 354160020, 198204741, 561996155, 861784132, 293660709, 1009554760, 752729209, 512729254, 310097764, 811016628, 543267935, 378557070, 274364426, 837703518, 418922285, 831852476, 27019082, 624285421, 507078254, 747373410, 883118189, 577618156, 906070036, 431736026, 210004788, 775295832, 321499073, 552407773, 90322696, 259765273, 782845653, 630500548, 817445041, 55813541, 742337193, 196626295, 484587134, 1059454927, 929149339, 273868627, 161080469, 330215643, 907564333, 334575083, 272198285, 540173748, 994378561, 279128749, 186666345, 772308742, 1018912721, 977803723, 779158458, 143226602, 276245496, 509764834, 361042748, 807551168, 210311116, 86622714, 978447549, 510215220, 75834389, 969675660, 402218036, 250806682, 280635073, 290050206, 1051985256, 448316370, 260618061, 539978924, 1036261721, 634612263, 445071731, 507579226, 728917721, 12653536, 572016724, 132775594, 236490131, 920926968, 384109842, 873090170, 308182429, 467556728, 547134527, 740700672, 812227852, 784553922, 470004963, 718022808, 1062076254, 1061035098, 1048622791, 785844359, 1000372293, 613706402, 679917730, 118039606, 646232160, 520756806, 381924597, 116283966, 912074926, 426513640, 41655989, 228609745, 2847758, 389664119, 9507157, 180950835, 223852925, 247874247, 242879968, 793399031, 283195639, 575112195, 894967598, 577187123, 115258974, 214387728, 954244906, 887574699, 325803223, 16319647, 531127976, 297991915, 551612876, 872658482, 368401739, 264870729, 262517056, 1041177569, 432523576, 563146579, 538040758, 288643892, 871585889, 873514321, 415269781, 463906662, 743252800, 864789328, 992367923, 493786203, 271540386, 832235319, 164796177, 1004510777, 559789782, 560435896, 56874583, 826398172, 707496136, 544474342, 25807928, 500861740, 523533724, 379297621, 420627524, 932582351, 1314125, 1065269351, 98773626, 299754284, 341695026, 427475248, 41597306, 306601666, 900470117, 22801036, 758269154, 268668114, 1070800038, 223660866, 1035965720, 997162510, 975345660, 1035605186, 845512800, 1001648838, 470035098, 866374885, 1013187216, 53005398, 360521328, 526883847, 175011678, 435692992, 180500008, 791702707, 217349238, 114796147, 613714227, 378216801, 138714464, 57841709, 131335382, 935073265, 6612018, 1064627323, 142958815, 123636354, 331726925, 440182772, 142261092, 274732570, 1017125307, 337072713, 555039442, 75546422, 266852114, 720766092, 647393314, 204273432, 365846463, 626897148, 288216291, 404127147, 281895505, 571359864, 1058073801, 607413940, 2763260, 228875178, 613292359, 803248249, 481850231, 794189167, 111410727, 489243028, 197032864, 376324030, 861033676, 964752212, 61436062, 562290383, 1070740499, 518710904, 433703776, 411981703, 816258735, 782330880, 521338812, 480897636, 958615502, 31535107, 877078885, 22468319, 885341977, 775270348, 713241253, 370344276, 595827015, 908459536, 194718189, 923223562, 187386259, 313618593, 956200247, 408393049, 146718615, 181802489, 586324969, 960389728, 787532223, 751794313, 485677910, 241856947, 933184816, 913010298, 575580691, 819136326, 143127968, 191866572, 872915480, 794974941, 6918488, 618231260, 1030363375, 494652631, 188484738, 902182113, 998525043, 361813652, 1005697654, 816733956, 27895603, 677183704, 418919191, 586417860, 340891566, 341875407, 406497819, 623214201, 710063677, 8949828, 71129053, 1047825267, 354570568, 594749553, 118917229, 422761121, 511046254, 437617837, 153594147, 673873180, 601879064, 438040335, 729940053, 705548930, 443147508, 553686612, 71756117, 892829142, 589754028, 90088560, 300798987, 652336435, 542098416, 215468273, 22353695, 916544624, 128538661, 227951885, 818279807, 1032879068, 338921816, 956121748, 822158048, 657719492, 309992115, 902363447, 184609918, 582173284, 816697102, 969781628, 5192688, 123614576, 45916953, 3631456, 199512375, 613034975, 868779758, 714138516, 140899805, 1047098353, 925305554, 781856048, 761722119, 338793416, 82066713, 52109727, 1033519242, 151224736, 493844425, 385187882, 172750752, 590765027, 376222006, 683385352, 597490591, 854728677, 932699817, 53251848, 17480822, 791463256, 397122657, 55763261, 559420417, 290557581, 859023171, 380072066, 244062776, 995818944, 717510608, 344439157, 160118649, 335119899, 957557098, 278078914, 818890217, 210112132, 860066145, 21908088, 1022449738, 870796794, 388426805, 348624864, 415754568, 472951782, 942674023, 650062247, 795014187, 348596402, 663821311, 716199824, 810705926, 318859119, 915096277, 587514375, 504148904, 525073134, 319353098, 537939571, 1052761948, 780353749, 129857080, 44876119, 329944765, 541376857, 949234607, 902399829, 48423479, 824735212, 444734547, 185961465, 877607949, 838796390, 607162314, 354844421, 442133754, 389933464, 526514533, 363209286, 642470906, 904780393, 168222751, 925274832, 260990152, 545639925, 191214288, 1022946738, 526112957, 1024351748, 606626657, 376285389, 770168843, 1051238803, 77369953, 61440334, 118274380, 927047655, 725985030, 572230287, 41606049, 952558292, 809401103, 688732788, 350458861, 681993854, 449985972, 1059719944, 772819427, 978728326, 870962549, 53769037, 75984209, 127048940, 835082324, 861583359, 953644524, 594249192, 680535255, 284389258, 643701983, 806798349, 51098525, 740905880, 979592913, 542273257, 88416453, 682944660, 669224660, 788928625, 146244679, 605050363, 311401419, 634174052, 857402835, 13057854, 314343701, 909538503, 406997481, 1036118585, 819328661, 200037894, 130496817, 186930720, 483891921, 462442191, 390884990, 806597920, 984836298, 709974476, 10676360, 662521076, 1014003243, 127367935, 923994908, 960365945, 441804496, 1031414522, 999070147, 438899785, 948021535, 547179533, 113868446, 248525097, 713071072, 757636522, 15700230, 1036945799, 119365334, 165671991, 49299471, 66109682, 23560331, 799264365, 594764137, 118748282, 454924060, 516301655, 873453753, 385105005, 865649286, 177697276, 920292861, 258414188, 726263496, 560870343, 473319231, 263939152, 76014155, 190869136, 264146785, 454190459, 375663914, 347963954, 344865868, 773501933, 220651420, 297403271, 673717807, 1013176458, 724215936, 372801263, 358087092, 776742712, 1058700430, 81501321, 583431539, 152083852, 843721595, 750200055, 1054447444, 733255434, 1040175849, 498097034, 1014746988, 542217156, 117061495, 420063861, 856899844, 439805485, 194257529, 129949038, 212473733, 338247319, 588153588, 926833221, 554098425, 397956499, 235734926, 657192502, 645095322, 816613135, 67173931, 397271627, 765197628, 587108006, 387693113, 810747016, 525695584, 369804045, 392119088, 915837043, 639300441, 1020853558, 716146427, 102685563, 891150516, 474919050, 57131155, 363499229, 587061880, 306242730, 969636043, 997763326, 851716044, 264242086, 429099242, 710577301, 649720974, 528602189, 316972505, 129502632, 551876225, 123299657, 369220595, 1010823538, 491568655, 736062609, 195747042, 736203367, 71930010, 585100187, 820478170, 993192725, 250401652, 567047521, 171027556, 552493629, 330992707, 1045086842, 991414793, 150030261, 619309560, 532630344, 182648342, 856746218, 456488458, 680994045, 819073033, 783756803, 559641531, 1029129589, 355064490, 370810057, 50181768, 77283620, 316579935, 895123351, 816640434, 407491076, 899669277, 471977324, 775731857, 1039182264, 705203174, 228944660, 433863820, 488257365, 473748327, 707211554, 629284098, 133205873, 659365709, 441718247, 477323098, 601518139, 494616480, 369285324, 456325410, 849991109, 777378922, 451423325, 449129417, 797745935, 415805615, 492604378, 752228477, 477831967, 469090389, 911804757, 115220805, 597941277, 677569970, 277013087, 897580004, 13335669, 163642122, 151412788, 587755593, 896256626, 12581113, 135031832, 570299703, 366856894, 813468039, 270035674, 578232420, 308340048, 400763668, 525106275, 440026705, 976771497, 110727482, 287039687, 32011625, 169915556, 615258245, 108816429, 500987801, 189428558, 148505428, 548518290, 404571043, 725614945, 471855247, 753195106, 797985317, 820868760, 60279239, 578351357, 442537487, 10873333, 379342992, 1032678423, 512830279, 509938780, 66308590, 1032699490, 358390841, 941997202, 991022284, 578739973, 51063178, 158490623, 485873406, 13677282, 84053411, 491749343, 872877084, 141671117, 446899093, 574972444, 401193089, 202237284, 85572127, 894190290, 528318386, 777659257, 162933646, 902666590, 174122813, 724238672, 895622908, 833462282, 831254668, 910467446, 1062351332, 950549183, 958276886, 284222742, 766276267, 813665390, 651122829, 498784900, 445485667, 182010872, 835025583, 804268990, 494577246, 951065975, 316189238, 352753553, 231642811, 973115812, 1018230692, 685839852, 28700654, 30664279, 61401086, 1012374729, 856777585, 87363236, 560802121, 969350537, 56801371, 749261128, 280484048, 489912067, 206883324, 814952091, 328496321, 628325673, 974575820, 948121956, 409662600, 13097171, 59009811, 1043707919, 269081810, 453146346, 744467452, 522509775, 907006043, 704125869, 451150293, 338231689, 111833111, 60910332, 69635868, 85434819, 406655251, 924620898, 416294742, 1018024684, 889345850, 206824078, 234112686, 380647510, 306334136, 49905622, 1012251358, 693747269, 823847535, 291857881, 119545819, 817720970, 617390643, 642623688, 354905795, 505420588, 612947673, 79996285, 129631581, 463442055, 457850285, 344796535, 67734223, 605489534, 484477981, 823096384, 882495678, 47948057, 922927477, 625610435, 920918546, 589295760, 869702302, 442765170, 132195639, 407631919, 630057057, 395506894, 520760994, 931344732, 758724949, 795422910, 91096274, 465070638, 77350458, 654278062, 744000098, 959160259, 999832533, 886686873, 228038211, 206893882, 896468651, 1022371131, 244850545, 725627853, 478089901, 755353093, 759552967, 180416592, 120073710, 450584506, 791175834, 727637414, 213670677, 217291077, 141726293, 563223618, 945610751, 604035873, 1021124783, 933762695, 446179894, 677002169, 101752876, 138050808, 399804550, 344773589, 480459522, 100694697, 369610559, 873187240, 1052959623, 1008651813, 931391053, 134784677, 845757169, 898756852, 941271772, 740856315, 991503832, 90731910, 289773054, 125915841, 856508218, 718844298, 930706587, 131195709, 603220201, 1069449961, 373775132, 520560807, 362307398, 285403518, 276276105, 922339580, 936695720, 308534382, 354187492, 991675718, 759577426, 414194621, 592307618, 889948507, 532623304, 902721969, 211953746, 810459766, 617833109, 392777331, 969921968, 1038837501, 402322449, 838073834, 980133960, 1020457370, 165938437, 115696130, 916865595, 775634751, 526956591, 666478304, 961372487, 290418675, 905402435, 772682956, 674049018, 952225795, 475340773, 263341646, 288033955, 541975173, 824663375, 923139797, 139013945, 721457465, 954916991, 151602948, 58787401, 661439233, 831935719, 215661465, 468685506, 154391824, 568117258, 530149094, 56785240, 907689356, 332689907, 1025248457, 553672653, 904333679, 190776847, 471984118, 634395868, 683967051, 1052077858, 525424379, 356439551, 1015952313, 349987009, 1072327892, 868816402, 755314555, 853410875, 828501353, 1050801284, 859460042, 340842439, 748790706, 152222132, 238060600, 757325831, 17591412, 515742911, 61203335, 526301609, 89397200, 211070595, 841689364, 9191289, 896750871, 850265574, 470960520, 178963219, 107642000, 1000636834, 1025436959, 293467997, 570317770, 406593844, 980295021, 454953263, 179427432, 288241445, 388200622, 847564726, 670907358, 395861917, 816511657, 29935092, 813153980, 332816881, 941896987, 256656440, 1028816582, 43801639, 652619565, 64755337, 651385780, 240760184, 636658868, 36055100, 329027494, 954250750, 912509562, 624999703, 475411862, 699677673, 429356676, 101905024, 953453571, 194239068, 946347607, 132533534, 183992937, 359718317, 799627908, 742767190, 206432502, 364282651, 545950342, 567868136, 192346730, 96511999, 96444589, 22788230, 33357257, 606052462, 961714000, 198269358, 95918443, 68233707, 340467386, 832466067, 395794568, 587664922, 1071718891, 145269070, 150910723, 225097269, 346141555, 910055681, 390193083, 932072734, 884881284, 794465669, 144780429, 917137930, 759615616, 382713951, 948393660, 70194974, 817893210, 8332195, 30097250, 787658886, 388671524, 329346967, 591823585, 227529301, 857779638, 954638806, 3408467, 371438413, 167316504, 617745318, 783869880, 351252595, 857471496, 491140002, 1034388107, 413605708, 417260705, 215286745, 444973604, 67365678, 612893158, 53076088, 726358029, 354960454, 812484437, 63884701, 614408993, 747896537, 902854426, 623627406, 39568839, 451591173, 476453590, 906739738, 1058701092, 741962031, 643762721, 172148421, 716157736, 600561389, 488637177, 140316190, 150462684, 662730657, 248185574, 882867365, 436359060, 416442378, 325734000, 578984064, 937832245, 751929832, 613971396, 65199105, 815912838, 981150688, 686477722, 495213882, 929116745, 476777943, 763602187, 520111243, 76762845, 240749203, 546837592, 567845529, 24733509, 782079271, 173775853, 660515202, 584482609, 10476007, 868216476, 454410918, 630654372, 107923591, 536943871, 321039784, 102245868, 509497796, 315770919, 849928187, 610125440, 400362297, 28250056, 510007377, 839005579, 453301271, 831416350, 763414220, 403502209, 54231933, 53230694, 257880423, 301462433, 420025656, 918178144, 197873403, 155866280, 388379926, 706961325, 54316078, 11643912, 591131900, 692435982, 867863129, 843216723, 118794307, 430532487, 295165465, 798453935, 655868806, 502637168, 749500597, 739356219, 682455615, 736867783, 904064551, 523001484, 885173032, 1052267478, 167380338, 438332244, 982719815, 937637375, 828445563, 686748158, 401436821, 683081349, 969489804, 718436481, 130641716, 541889441, 338397087, 850659769, 390269059, 882969379, 254446562, 973520986, 269235210, 356528010, 375423007, 282453358, 640652539, 1019350360, 360666814, 292326505, 589374726, 215488057, 643776382, 938047087, 809525911, 939945779, 892905196, 62340568, 1013012701, 472042784, 11604779, 506301967, 16388954, 910218882, 641140314, 497475357, 352062141, 337083153, 310214831, 302176151, 502896379, 846493709, 165802571, 414575463, 315571449, 711338407, 768764294, 840565562, 960842220, 908187758, 319604654, 303714985, 716722865, 720922741, 776495596, 802460929, 309293563, 803606893, 403053808, 720720248, 846015701, 452284029, 835527138, 420737989, 275125105, 501137961, 1002907473, 451870509, 219742622, 443807714, 101605027, 1050583440, 746268241, 652369887, 436256729, 771542382, 117455978, 43888925, 990153153, 188947476, 865067453, 422238936, 840749157, 1022642121, 418627112, 96437366, 864729628, 483605023, 67398886, 29652858, 406680855, 707281040, 676625072, 943021028, 993643738, 462764476, 30627614, 689885418, 841809328, 135118748, 348978672, 734701050, 303810730, 591009930, 725235224, 597875041, 818850500, 540515805, 916545435, 227031998, 320302397, 104507814, 642247457, 30846486, 715997872, 1049580820, 453235631, 415725573, 608236409, 589624252, 262139660, 38105398, 467467385, 508225502, 91553645, 236721260, 137460994, 830736817, 901506318, 739127306, 86553333, 65114752, 86626733, 7643008, 607784879, 425790671, 1018477579, 60700195, 300954335, 1031838209, 150938595, 389871681, 873496338, 177473489, 226247467, 620593373, 915138190, 924634564, 694258344, 325507606, 318360748, 432394199, 655549337, 286716760, 266881659, 998089514, 954304955, 1012304697, 272547653, 726965370, 349810825, 517859324, 509180226, 994571758, 652906999, 415302742, 367658955, 361486980, 396413151, 251603830, 296294111, 601941380, 958948621, 360446833, 452639791, 656186424, 119230722, 386675274, 1060875541, 2698941, 865577916, 477181000, 742188434, 484234718, 959786754, 33091086, 841679334, 84931309, 1002656365, 803423674, 504748668, 13647358, 256847720, 498018194, 408351265, 842116101, 459059186, 362797484, 398881144, 220556440, 538073507, 587162273, 174295644, 972455493, 982488207, 792089160, 627714289, 133222882, 798757817, 30790366, 742779154, 522083130, 23488990, 922183691, 122480921, 646920442, 467172879, 551397701, 986538915, 650262501, 96233982, 582324464, 952353747, 37407858, 861831458, 712167124, 630408396, 251440646, 982407260, 356219153, 500394080, 571346218, 682322833, 705460051, 800918885, 736860091, 471347562, 456778929, 45251205, 291677176, 759940879, 550596960, 167255823, 188731293, 755792724, 1057852995, 262818510, 35896363, 32465204, 224174570, 342112272, 362616889, 829578027, 213906508, 755727216, 642396821, 411519850, 461837843, 64418109, 99836171, 798930105, 369167375, 480521392, 360774537, 859122986, 439412424, 406703737, 655153423, 164930937, 1025460162, 732729271, 1034520322, 350796141, 418687082, 15474397, 45333437, 165419547, 465639275, 493051771, 1026201058, 664119812, 186781234, 673722414, 738731572, 12640525, 288734885, 202293449, 122276039, 76556572, 705699804, 831664162, 73760561, 448664436, 242766411, 936730943, 5915800, 676024325, 35839235, 437055318, 262870897, 1022251257, 78279384, 571379529, 178253026, 423103355, 414666377, 745857563, 1003381528, 587191100, 907067641, 895979045, 791830809, 118679860, 561582381, 747269435, 183971994, 454468949, 215214752, 445274592, 171187793, 976606842, 10673932, 112933860, 72990349, 962882791, 747546068, 954040588, 879088419, 1011852220, 909191853, 386392434, 258256492, 640517545, 706870884, 213107328, 758413901, 292509243, 676190917, 569217964, 547050059, 277457258, 68195377, 887301237, 590037909, 958673126, 122686475, 982744096, 577243028, 180026652, 674221274, 84851974, 789202956, 99416714, 306782161, 500626673, 336361316, 569598374, 287352428, 59566882, 1006594844, 463436059, 880178995, 928162534, 119738340, 506688821, 32690852, 283439698, 563718146, 198656479, 756725298, 1001269751, 52805478, 655946005, 92732841, 800450823, 648640175, 32138504, 526787565, 219238453, 883197813, 670802512, 125652357, 131901266, 615415629, 102721282, 806098050, 525447135, 776101496, 611714453, 313292932, 548544420, 634327714, 39326602, 444342288, 113269214, 838667064, 281989511, 83018360, 880561399, 733672150, 25993391, 210268293, 717785182, 986966211, 31072808, 646209402, 859731742, 166355921, 435943835, 869783475, 772107576, 412786099, 566994595, 430860579, 840892871, 85122111, 723208170, 787656113, 522639888, 919340515, 764651773, 36772341, 577577303, 771362216, 172733187, 32920412, 1044082061, 283891417, 24465350, 440839222, 692317536, 131836699, 683278119, 143936105, 92196316, 727005492, 641288719, 59150971, 944865030, 451973742, 899417509, 523771666, 339117607, 856807870, 292371503, 1040997633, 517445643, 1027693690, 869479094, 261615927, 928674344, 896888160, 41744499, 436328021, 975139640, 1062404453, 749622063, 624580859, 673935489, 311930761, 102149958, 547722969, 556583039, 748257163, 586034192, 391856306, 612816428, 337169100, 61703144, 347440537, 132508357, 762980676, 605054533, 970467683, 538625975, 953390332, 385665359, 96961306, 306561402, 807986422, 764486056, 854584046, 652265032, 179219119, 517198351, 892276122, 359830019, 241427543, 524379374, 935225025, 917754138, 905390740, 1011587423, 876548327, 545573203, 889263675, 998476332, 917001730, 791275904, 361333521, 776336131, 587764698, 447587036, 460838192, 215925623, 883451227, 993995511, 130961553, 878437199, 261782867, 832040987, 983521443, 235656114, 681025723, 9674888, 968189290, 505081185, 763644356, 110248325, 1022303229, 649606777, 776211159, 662745440, 7400382, 416006389, 793674429, 495361724, 1069889611, 820377799, 943383818, 363735529, 939416547, 440465914, 369589524, 779668041, 644468299, 494171784, 913188346, 923200016, 1032147292, 185954574, 1060320254, 108370720, 856583888, 305886758, 634359378, 423704192, 587134625, 312646396, 779344389, 689135574, 802361957, 408395002, 890965868, 1039918720, 149778630, 252194850, 404300450, 489336202, 241116803, 121927241, 17573605, 133402725, 720677444, 191157440, 709058072, 697389361, 228794306, 443293955, 306018777, 309546324, 647378798, 507521008, 749772085, 14752051, 874059750, 633281930, 404698503, 315916885, 736116442, 1397309, 321347307, 283627209, 808779481, 499569336, 304167135, 191427362, 518102401, 758453808, 736122685, 44238922, 620116299, 576311234, 375225981, 521816264, 92159533, 179584950, 114563120, 450780849, 838409732, 136717440, 575659492, 160325595, 152758023, 670635884, 365767653, 967632874, 133267832, 907710353, 34815765, 232036891, 468828246, 120469702, 856781823, 128685585, 93390517, 104912629, 896984050, 793304857, 758704588, 651461591, 118461305, 107531854, 47139402, 131915166, 1007950214, 872418436, 186490344, 28191495, 172649982, 476109183, 4627802, 677010033, 885022966, 747302651, 544410129, 1002897637, 990265147, 29209452, 928175481, 313892744, 566629849, 721571547, 812199439, 484782951, 202053239, 559046761, 364329945, 373095163, 586556253, 633541815, 314648303, 876510675, 881501424, 781431853, 234205939, 15425129, 42586823, 420835539, 163098095, 714949668, 248844583, 770966934, 538582034, 340252364, 700310437, 759645131, 1007432402, 134762804, 942175346, 631082794, 898579734, 200826777, 734888223, 356042457, 413038641, 907837970, 101761808, 1032845490, 265813292, 250313862, 715990117, 151780140, 224320259, 184898732, 651186438, 30450121, 857390022, 492787761, 958645755, 582402557, 482730433, 343796753, 534508620, 1009839909, 224371375, 148790463, 636467111, 335910551, 737709848, 76990000, 173957230, 302878939, 89523707, 556950607, 238863789, 326012784, 227730266, 1053098055, 836464407, 366256671, 531058025, 890250828, 685771081, 359669099, 452299903, 121220997, 35503771, 1050802392, 151407101, 63867359, 508405906, 234412180, 982622312, 552993972, 1066265717, 935801903, 738815108, 80736305, 464372457, 235098342, 199787594, 332981573, 815042208, 574686873, 199143046, 674926346, 655554166, 822089798, 661786320, 408241945, 25927493, 1072324030, 229280121, 55671753, 619846178, 1056674842, 825719229, 948200838, 975202313, 307869770, 1069709183, 536796719, 200806251, 992040300, 560406427, 81489465, 167273001, 812960851, 50490346, 510241590, 200766034, 641510854, 297268745, 1003480054, 62251819, 713095797, 1017648557, 53212533, 260494505, 172338641, 582916074, 233565819, 1033367274, 433517016, 408958005, 19958091, 475063185, 746303741, 491760673, 38575186, 955594319, 106663337, 790010344, 1024984357, 834710014, 96214049, 847642675, 210207120, 133606623, 286286430, 113248008, 658088949, 112192692, 646915765, 1005989165, 523640589, 503614343, 641819223, 522117163, 824064633, 1070502885, 474698844, 998808691, 1006423912, 788653537, 1045235200, 560219423, 1025794797, 944271284, 335422394, 257485338, 654486560, 470547359, 833018504, 78144475, 866974032, 423484214, 270904835, 840204316, 695285374, 549676133, 1009781869, 1045953837, 569808440, 866840311, 715064368, 842763906, 40317305, 967917888, 110012579, 751028136, 18618578, 826454064, 907218561, 574618404, 197852925, 807042335, 977521678, 353512075, 881666402, 61126330, 59978607, 125859731, 968567157, 359209602, 471424703, 941424790, 240818046, 669116137, 35278350, 428856767, 877915559, 657532580, 156474236, 536477398, 943091447, 918146117, 143550355, 338480636, 561831856, 424247484, 918597899, 66480583, 461752904, 88943779, 649831777, 364410676, 865949457, 1046502943, 52556322, 760951080, 742634343, 751098803, 502277955, 449155918, 1006604967, 877753834, 733250663, 398039003, 608219105, 21254236, 143661014, 625487344, 53586285, 820544747, 657722535, 593638923, 130317567, 409929383, 845371222, 311137437, 939772470, 838448753, 694137131, 749631627, 117903515, 349666484, 53954024, 456990678, 840095363, 530827712, 820615578, 93421516, 430479463, 195260059, 724911319, 368027810, 707092354, 167168108, 759520058, 631412895, 798398374, 1023442672, 395253037, 101758984, 70881300, 998578071, 856805018, 681180329, 936678968, 853731135, 189147913, 859179281, 23535991, 382270862, 191475361, 117182309, 356637954, 588923736, 199715147, 332475811, 320962113, 648017079, 160662574, 54216204, 850749178, 12652393, 1067290496, 999831371, 1072492253, 399048523, 715445675, 1012094119, 931929204, 274780498, 607651056, 471957818, 377439230, 149235488, 536587520, 680161306, 1070274531, 919497670, 570028239, 390012866, 619417885, 1047344137, 959640409, 510277040, 516792016, 560477308, 1044884962, 159805654, 921033131, 271932686, 100466706, 497350244, 883028710, 474650978, 302300344, 250921213, 171410563, 101893043, 569605974, 242327391, 538768584, 965718326, 374103731, 436342109, 316994986, 244091561, 678121220, 97755217, 94243901, 349987177, 35516558, 418325351, 94312792, 598101883, 515411543, 266553572, 419295955, 940692012, 104108160, 472046301, 612923098, 411853889, 645874213, 1032419153, 378508629, 101753644, 335492267, 563024127, 104458510, 246636713, 21570355, 646816546, 365778649, 82521496, 641977460, 651355698, 109468422, 586307248, 557535489, 397728323, 60692040, 196335040, 644985508, 321956980, 1054972509, 584801755, 73906006, 327028804, 30899737, 717554433, 345700662, 715852188, 69880295, 376610088, 994593912, 823971684, 3801171, 876989055, 330529958, 273700799, 379968342, 906640180, 1067912105, 507223473, 541389825, 777676274, 185132381, 482390373, 800321493, 290575182, 318259132, 748078640, 419583900, 399681306, 400448725, 155723409, 194151988, 88259104, 522169758, 669489792, 510744028, 145798140, 125814904, 511665221, 107474103, 49098684, 815247583, 76948161, 919271267, 765492007, 303104862, 85428579, 158914198, 617861428, 660102658, 1051718098, 129764684, 63937766, 504082028, 190208160, 940001648, 513204598, 206964489, 577981023, 694858401, 790046946, 209572850, 235917297, 157894014, 945954559, 179844131, 783450070, 781413340, 853948263, 727431684, 973989320, 466110151, 203482918, 9654341, 684056219, 968532004, 582543604, 507345894, 1018346310, 412646274, 917638003, 1006600314, 834878656, 120579126, 104615901, 235613304, 54907791, 238228602, 36931501, 388740233, 706637113, 849105929, 966182037, 853398076, 698483092, 310988510, 381112500, 120811789, 707682875, 967970737, 912539611, 244217900, 688721550, 628884092, 804444801, 949669710, 322732089, 1007502114, 826054369, 945894031, 991402470, 549866451, 75202848, 881609288, 163127999, 1039072504, 1037054369, 998480462, 1048024399, 315561466, 1024845138, 328493402, 150283453, 246014043, 56039323, 700735817, 538741465, 483158636, 1016659448, 1058820839, 330014352, 521397031, 62049443, 810792498, 716223716, 272675704, 649801, 430254423, 455553972, 200116822, 235999348, 25133807, 285082751, 539073690, 873894892, 573249991, 688059128, 740874505, 580420277, 713177104, 585311972, 207150411, 862010531, 575310564, 944736054, 902679090, 31248880, 1065174607, 421262462, 1002084597, 792172555, 37457195, 502016955, 569494395, 74232468, 240755784, 539022449, 131700778, 96068614, 3714656, 461154064, 956607119, 372411010, 528585489, 494372823, 201456768, 492846151, 358740310, 501462209, 265040290, 548171797, 483014173, 172848804, 560683529, 104789980, 1002734220, 347929282, 521280605, 831131685, 694776548, 886420025, 630658350, 178016073, 145390939, 550416431, 391323964, 1037255386, 236237451, 466199747, 148418377, 210276189, 388541541, 354569148, 201947687, 955747337, 562728380, 478250834, 994472010, 959880741, 180990269, 409930984, 1044197448, 334533554, 335194501, 342761583, 451381577, 227423245, 929802613, 254953750, 471121322, 497004098, 432795953, 461455254, 459765012, 23104527, 327139909, 169438645, 674830193, 816311760, 153532131, 809196258, 573477429, 968064112, 763389031, 355809542, 952100243, 902034705, 647905328, 946891441, 637697954, 382408905, 887162255, 397566284, 103680236, 418343518, 1057354513, 658721305, 382089681, 406756408, 461706692, 86204967, 872202173, 52086222, 307749959, 153143657, 312074062, 651455476, 612969672, 834661899, 1045056525, 854547233, 221976109, 516518670, 896294513, 289062728, 441146019, 445456092, 861340425, 999616849, 120810965, 1032297910, 377967004, 645208848, 88150910, 835256811, 843264970, 900584662, 142024144, 722991729, 3993762, 774785606, 568967833, 654789387, 788510505, 502750993, 635183012, 828155490, 268311769, 590536799, 1029291109, 847949916, 600368055, 885727314, 906807883, 941916102, 990199625, 678453470, 617714286, 660529491, 788863420, 931287101, 407180126, 406773419, 427180824, 557437660, 454278598, 588994061, 286323002, 295770515, 674659513, 135433806, 311158436, 352630488, 278823066, 613506096, 148719177, 916557835, 653077063, 945417028, 260909092, 371938064, 146419505, 849067508, 326080378, 1023407421, 40231489, 899389026, 992014844, 662730603, 924840747, 857172376, 870428614, 571898097, 1020644774, 546735603, 622267600, 376314484, 1038643781, 456381031, 874588345, 333219383, 1059672956, 586522572, 176789204, 622076392, 600394153, 1029128850, 58326500, 178482016, 66317531, 260498372, 751281311, 297319076, 169147639, 448269785, 35488506, 944846151, 225336124, 784692712, 1027435887, 176078884, 469081632, 34330211, 194158320, 760775097, 79254566, 924474586, 852430228, 276168149, 66439000, 1048736140, 1002337265, 42573436, 110365390, 1043798371, 124435463, 555044016, 584640871, 995226562, 954391602, 858457155, 580901694, 121082705, 238386891, 236201708, 710359001, 32700916, 559420297, 483877482, 240813321, 750224, 593496344, 389744362, 515818693, 742370591, 291983969, 516103586, 749534692, 15719670, 969745429, 664115170, 998949669, 603947732, 1011081396, 711683230, 39685862, 390240124, 798116625, 56467389, 396532214, 256542719, 1041246004, 955565115, 750279288, 503089916, 954687056, 395812790, 1027868718, 62894394, 40681894, 11516679, 760879983, 717169937, 543581529, 773470541, 732080996, 850932419, 780986294, 436862735, 888791374, 696805066, 1028837115, 924893902, 401454735, 1039516886, 315757614, 234971529, 799970492, 419505347, 992036103, 717308697, 193047289, 332190224, 948108727, 777831509, 612729678, 540361471, 1035991428, 503849843, 638965540, 624132012, 28716177, 466142202, 728897810, 67660045, 256045681, 361025080, 538614808, 578674832, 741549595, 508380938, 792136032, 907912900, 694450836, 520457794, 453426659, 915133930, 446604497, 733262703, 849314192, 916540102, 914973944, 275357858, 56931764, 834312199, 8500682, 329790222, 858871965, 173144885, 1036654090, 384198128, 164880306, 925509564, 205638156, 422055686, 405442024, 273111013, 84683281, 814770083, 437811357, 329193720, 479778007, 710861111, 379539992, 627933896, 127644163, 48707092, 249774927, 1025591142, 352765821, 375802674, 1008509534, 788173964, 280028756, 879613709, 630832140, 270725605, 744740041, 854181597, 353055822, 358417904, 998867496, 1012164679, 618462068, 306874711, 636632026, 259591550, 917428752, 732405630, 581773874, 182826119, 577555915, 308166928, 979897499, 663948135, 543367739, 521934711, 260338727, 451572992, 481817423, 309372411, 36577535, 520621207, 756335371, 748819763, 49846962, 851935112, 995604549, 644063377, 900213099, 560047792, 226161132, 61006600, 518097405, 558075203, 937352413, 824453860, 444748753, 85068461, 265145394, 93058401, 443212209, 596560886, 855022114, 759734947, 293342028, 457066029, 433151859, 291699360, 417650038, 1021616044, 870572765, 614940654, 304537417, 659666072, 525316403, 901748324, 791280725, 314194305, 519546349, 527838901, 54590625, 981806180, 214045217, 379696936, 440414132, 190539767, 804624343, 630992267, 400940829, 70824719, 16458698, 355229089, 726182049, 605750966, 228103314, 886137420, 69704567, 254079137, 376743316, 859073072, 741142328, 551895139, 873935008, 860420335, 1037573624, 58444054, 2008435, 647491087, 948833997, 24345198, 641537224, 105362361, 626377272, 847998686, 366752214, 699766527, 800073915, 377347654, 157722215, 4169278, 635569263, 218956531, 30427907, 1003344943, 437753919, 87129273, 213037172, 939870141, 590696609, 780894648, 1067398596, 333233668, 762327520, 234056060, 427671335, 387790179, 85362142, 253978995, 948520802, 593310052, 206014291, 533282826, 973847159, 289674519, 729076791, 495035417, 90206684, 805355368, 643675434, 1056078230, 52472887, 945659866, 1028353176, 522517157, 525789629, 1055607174, 719195692, 23544428, 28081439, 891359950, 523609495, 1063172697, 1073458920, 765382247, 846178766, 304257344, 402281051, 609809078, 894187783, 626556791, 352213941, 72423398, 41108103, 117755281, 830711538, 895333547, 22048243, 661580839, 581102762, 931726822, 192238171, 714879446, 842386673, 812002101, 469202341, 396588122, 540576314, 487405602, 260279251, 60321624, 360788646, 108772994, 113296956, 1006047659, 945684587, 440234583, 1015715781, 343499668, 789501133, 1062967947, 900937183, 572920599, 945773952, 280760381, 659688509, 138690373, 66573534, 855544761, 51297104, 571464782, 362604565, 100045120, 326383272, 401050946, 597620377, 816512515, 733489979, 41388098, 305718315, 156080420, 698025287, 333349067, 699326840, 868305783, 146030584, 188218376, 858256237, 73783675, 653852380, 371069824, 1008535458, 719271379, 607898800, 228579319, 668876485, 664863687, 1027154187, 1004756912, 899268625, 10889923, 77942455, 819493822, 381630271, 1014327461, 1059204723, 214527710, 613263414, 1043540594, 642193901, 792614063, 519361712, 538466887, 441417210, 351648055, 366095548, 433985144, 929990737, 400072945, 153857356, 96612709, 515477700, 214471490, 336088442, 19815615, 495758918, 4133669, 326566397, 120271789, 242688707, 576379329, 788640754, 1048736701, 399988983, 770771652, 177713493, 385454273, 115725185, 126091330, 403314232, 657387887, 99773242, 600171392, 690326745, 520946318, 430437848, 906013308, 481308123, 103814454, 398078653, 68197558, 603297111, 784365287, 848596665, 794407547, 889068637, 441152274, 330032811, 754079313, 290428563, 715748901, 738401047, 283508204, 386478077, 649931645, 547842882, 34056091, 278690148, 965120417, 61901125, 148360815, 39318527, 979454527, 874565140, 692839439, 1000954310, 866751137, 867870310, 708986300, 998872227, 97866559, 905401547, 1068758163, 527896585, 210074603, 682341428, 250931464, 652349965, 485642148, 593799576, 67887394, 279963485, 988500471, 812132151, 263184574, 138447430, 159516733, 1018817386, 1068380750, 489960169, 13042256, 82320179, 920687661, 171956784, 908601811, 67855248, 1042857362, 745367, 234807988, 1048836194, 198854433, 391124607, 456869305, 605918842, 329429190, 794790611, 563817335, 145386847, 960369975, 60283946, 420307673, 58907920, 792404971, 791619172, 726694895, 804332450, 268375520, 783007863, 575209632, 686628318, 819094612, 277518061, 897818512, 1012455165, 124459055, 1030892133, 86385883, 694133752, 356767788, 120377900, 761915696, 719938648, 425101745, 1027142100, 623747083, 280171644, 906602590, 289380672, 455004990, 436137238, 311091813, 922086403, 165261903, 188658286, 460930516, 594056161, 168019565, 141304540, 136135558, 116621856, 314527949, 997205095, 125736884, 284803544, 190396729, 976108918, 705795179, 541572526, 755815573, 739873521, 143010909, 231692447, 424560425, 672159445, 46575703, 208021466, 488569662, 243416525, 1051582775, 207470980, 611741339, 372846997, 430734180, 195977092, 399272155, 200177397, 311651509, 700244529, 394936982, 904402078, 1037746457, 743872423, 704218383, 306853056, 704452223, 946398892, 930788861, 11925882, 252102893, 235679351, 175742386, 821609049, 16650615, 701051249, 868549269, 635082407, 777617361, 876817626, 130257916, 460947400, 81665315, 691545239, 110436901, 818048245, 18998535, 315648944, 360408493, 753610799, 1030599971, 210945623, 411367467, 372547314, 289530814, 397044645, 959108348, 143013349, 756227308, 181338394, 313574300, 942437521, 848420927, 33823153, 598629999, 492969323, 1004163331, 359835963, 364277103, 723276247, 551046994, 592008593, 527916951, 533225385, 899429016, 1022797366, 462208936, 30675877, 193289606, 739023706, 136119463, 1020581829, 530946208, 300813487, 456270726, 8012583, 50123021, 486963247, 824716778, 119510196, 91398247, 7226088, 960430348, 320290524, 115921412, 956179418, 1044413834, 537913464, 316971960, 686327430, 957752616, 801425800, 249555202, 208306088, 43910165, 731132266, 719033470, 885372147, 782705669, 1021214460, 568951030, 711403421, 986309222, 678312798, 374610637, 906359731, 768669578, 18394249, 123630849, 455361690, 48017138, 453395616, 472182533, 717103737, 209498800, 84104132, 517815787, 1031041994, 64257987, 329925479, 865810198, 314426783, 395190177, 544436017, 59752708, 841019518, 590924029, 1070185090, 1006299078, 87540323, 460047538, 138454468, 363892531, 661155207, 28683249, 90464438, 618676971, 332236530, 352961268, 721120220, 592595527, 56310182, 271156496, 637351509, 68723336, 783065171, 57212543, 446641053, 568135213, 166008530, 209717714, 493142885, 453510057, 742570624, 102144357, 695962666, 887115916, 431149387, 79167213, 93087142, 656514013, 620656707, 749261350, 836221244, 161300021, 277618139, 1051276060, 277135987, 192078572, 161646630, 100779634, 1070400622, 963699508, 164896252, 272827574, 397630518, 47374616, 876132262, 161999827, 174114563, 752162411, 367623498, 990062798, 920298797, 734149187, 668626872, 611627401, 832848414, 269773772, 783799422, 344198035, 450478614, 80708851, 82519010, 347942245, 362656183, 972043059, 1052311312, 539046039, 369862015, 799556068, 680515594, 8827503, 8587100, 66576056, 38320537, 439433167, 130544880, 210970921, 361279902, 311254019, 708835632, 199731248, 38290636, 366544319, 856165240, 953131183, 247101361, 892518226, 822379336, 803614406, 662287895, 254941392, 1070592692, 159394774, 805307213, 374763398, 905571366, 135955535, 862041420, 480306368, 699990437, 508805807, 659529289, 62763272, 248416085, 597808593, 1063056059, 95672120, 931913179, 1061704790, 811410189, 777696312, 221313161, 598287497, 26811389, 1033479398, 992016652, 909381163, 630347536, 26439558, 759523857, 888941364, 563828736, 1061741455, 454257762, 140135769, 188713185, 176336936, 866274640, 317812432, 857667525, 515848781, 773744290, 352235718, 662399253, 567729631, 1008706797, 593986402, 296446080, 976253912, 316600573, 812383582, 112450023, 35795215, 291883791, 709845687, 347110359, 945826376, 448484900, 500409177, 72666093, 830690367, 318341296, 816851974, 579243644, 553030200, 600313614, 123773600, 195358089, 289190257, 257309452, 1036218366, 845119439, 269067580, 853574798, 360956431, 841416601, 1052851755, 809449936, 1059493858, 870564902, 720227738, 1031671496, 560115498, 682171186, 764335303, 926992603, 463148162, 774246767, 739480852, 43442384, 569214789, 425749945, 810072522, 1058339587, 41036889, 720024747, 156419641, 900112409, 173267493, 908253303, 530712555, 19025146, 50982956, 174129632, 903355872, 985646678, 767513596, 570938732, 889243896, 448064310, 77024534, 150486742, 976468961, 653607668, 658410836, 965144055, 159646383, 462774548, 324737144, 91966477, 845089526, 855613693, 492073649, 175441842, 235987746, 1000948390, 341607241, 365435924, 190705404, 397210261, 10042289, 952433747, 978947827, 970650377, 382218388, 988186890, 807602040, 599993605, 496312673, 5023459, 839304622, 920160495, 491497962, 879542060, 243855516, 522944607, 284756152, 896261509, 757071454, 132973720, 1067197698, 786172752, 234898236, 689042507, 24391378, 906347663, 592000182, 386157092, 351246282, 756327045, 339483195, 511807659, 194991897, 252498326, 703246460, 1038022186, 893389719, 758354340, 977113157, 19264500, 401850017, 232437615, 158105765, 1066573114, 504612005, 622382240, 383887935, 169381369, 1005480143, 479097636, 557323673, 953530765, 632423657, 427478846, 80454834, 440577326, 391717082, 1023780774, 170716750, 20472522, 948481697, 877457888, 66722394, 1033270865, 58434837, 684078393, 583183674, 329638123, 846525218, 11779249, 258180267, 825109804, 823206581, 840124344, 861427234, 861300556, 134985854, 554189154, 38864129, 124705260, 903042792, 619383136, 553828787, 597591207, 785243287, 1028333670, 704882883, 502132191, 602829790, 662041291, 3450740, 259413904, 236649575, 218539518, 1060823467, 498623849, 1061522789, 510862368, 210932143, 131655790, 332221962, 995519167, 424036213, 413338952, 487982561, 81729683, 384377167, 267381194, 94483159, 594708925, 950410241, 697665584, 1008855668, 754205989, 579530384, 606236144, 409083400, 445022924, 698562902, 27784864, 9959593, 769483406, 903738254, 702619709, 877300684, 1051083391, 769415577, 430979212, 797761087, 128650942, 814177976, 629528959, 278357585, 198006925, 483972820, 529790272, 160299754, 809961249, 443707600, 28304545, 690265788, 97802268, 1047265570, 572314409, 282351339, 533309953, 48111604, 33096264, 212458225, 382071350, 427303445, 654406908, 1033953461, 628574328, 238728630, 311469421, 524499927, 533502270, 679093916, 926131858, 149092754, 544134009, 611638581, 747360492, 294833405, 447811480, 720794375, 265029491, 682997064, 459556904, 1031948332, 299200904, 898087365, 219917795, 391881327, 600686643, 120354391, 15007479, 810764271, 18935744, 252535661, 203854079, 647764693, 220170710, 650121879, 512020173, 1016643352, 891747474, 528766238, 235160613, 359615258, 1062895993, 798084621, 470986893, 247804641, 781189742, 210217166, 693483893, 691043116, 698067981, 667311188, 27644335, 308461909, 640513160, 466632076, 962963623, 35322082, 701597857, 662457354, 829665649, 674306185, 75045381, 201063, 558414545, 1062605855, 31340860, 357278305, 373667712, 619280773, 657892016, 251129539, 303203316, 877666250, 448157406, 260987170, 471339494, 605601538, 532429540, 526169054, 508602611, 155949767, 504990370, 164583311, 793938074, 251724391, 105430262, 642214359, 271981464, 607567096, 523418938, 297719724, 582050810, 785440549, 775961523, 228821597, 769480324, 292557942, 721132389, 13554915, 241459360, 918392673, 99228738, 718240863, 914936656, 513028548, 539464480, 661635976, 644506571, 37405820, 272012288, 796678944, 60499354, 286904544, 1009112555, 672688711, 136595970, 475858209, 231497833, 766717083, 364568016, 954424917, 765414833, 447153825, 1058463121, 266428089, 109508398, 1018456545, 17141649, 772612400, 757542507, 198622483, 399022745, 28248627, 315683346, 418472561, 211540680, 154599414, 680762411, 647067621, 508198968, 468503982, 555835552, 765703703, 938671356, 394329107, 732513662, 204220808, 649896133, 801288127, 435073649, 538718944, 57469876, 229134883, 455470230, 755733146, 581874104, 642643489, 699689907, 458414071, 252816522, 461437476, 457507349, 502402149, 116970470, 175361182, 889499226, 683855505, 832371, 279053985, 458462045, 385922530, 222751695, 1033964868, 552732718, 8948384, 955724158, 677560532, 274913212, 216904077, 619508838, 624915978, 864308005, 1042638425, 626020137, 274688361, 735755327, 994229152, 367554660, 648444609, 210356373, 835180460, 424683036, 483553810, 943220453, 433985004, 483898002, 447870884, 315432720, 691840378, 563899088, 26778128, 946182627, 740594217, 614486477, 806487576, 981614658, 615287540, 866621938, 447692712, 980788238, 799883244, 814437922, 607790192, 1049823717, 142050917, 408646636, 664603072, 654930324, 947676743, 794078533, 66419870, 1028073687, 569806288, 747124302, 188799279, 987392124, 821420092, 125240803, 387320448, 1024747261, 1034558806, 483669802, 833709200, 453174138, 10996826, 53490922, 725271574, 1073397335, 497469505, 557117339, 577921055, 727229889, 835259626, 32212662, 405262685, 658376166, 743501444, 153680020, 589522465, 462824285, 347445342, 243534390, 785168099, 50917366, 972338399, 647883018, 715302155, 148265177, 526642284, 269794810, 223801195, 951860075, 602369493, 263445336, 900330108, 486456971, 540172897, 520312953, 108706408, 392331578, 348332028, 341627112, 123594362, 992671847, 915381296, 528162672, 1071042271, 462421078, 395195381, 554105649, 632478172, 197611510, 59935457, 971125721, 191716109, 476767951, 860193545, 612182868, 697599595, 940137249, 497394212, 9725331, 857029432, 756340501, 968827981, 179229572, 440701653, 993408176, 579310146, 7009964, 819723220, 17543822, 632914947, 194199698, 185080857, 846196859, 889195433, 240780939, 984566747, 561687927, 542026696, 859832512, 368115930, 133526943, 731093523, 268341639, 564974676, 398963223, 762322913, 1002056213, 881786919, 558743658, 710444675, 599430627, 824884103, 975078693, 1017598325, 881252345, 732064012, 880065502, 366214992, 433169003, 1025749706, 1070188727, 22079290, 173889684, 805275223, 170426394, 620018796, 906088013, 199792306, 396279281, 639019329, 35762150, 450874181, 792172232, 407139987, 308404358, 116231110, 343980364, 626385557, 1066525244, 203460621, 692717445, 1052261934, 1050333813, 634055903, 492563495, 279590056, 1039159949, 1070129028, 1071750242, 348053521, 1055796701, 108777082, 297607393, 285845805, 1004263753, 521102118, 115316504, 1030831890, 901195707, 472599112, 210948198, 966207055, 652618730, 996207374, 344538503, 642505560, 843220414, 546526226, 452703133, 1071611901, 688231114, 199083277, 1025122317, 418676016, 427831976, 466145096, 554048045, 177055846, 331686307, 409095321, 1037122350, 702419875, 315004487, 855509355, 888267953, 494468270, 419920526, 66249584, 137659115, 976856677, 296269767, 454852286, 523712783, 132766230, 1034315675, 1001470622, 978057952, 290050308, 133359300, 438595223, 645412913, 961083444, 493218315, 1068635154, 64970041, 979456451, 1036406446, 618278249, 837965395, 625401090, 144662817, 295829529, 1041667664, 868242224, 334312486, 276232228, 445528353, 970894415, 1054109068, 95222508, 358311298, 142472219, 578069355, 19287087, 120939708, 317196058, 727363928, 885589765, 360830269, 448334248, 758289264, 572855947, 783911233, 428517121, 509962244, 134158548, 446542973, 667199913, 294275043, 457311164, 859592562, 109834808, 420332222, 953322280, 1045120035, 1000297803, 265362552, 532478059, 451870053, 873987088, 134184991, 1056511222, 480012329, 124783965, 692128019, 1034042016, 404859955, 99505230, 697163183, 162783719, 842188247, 52840486, 1065269555, 340733423, 867814291, 941053755, 908283423, 250261543, 208958825, 17356075, 579958734, 324886253, 111642444, 355872994, 85946936, 583641467, 107712702, 781101384, 284689052, 156277624, 305024075, 137997452, 473573037, 175053257, 632501434, 1035611330, 245781267, 11038742, 471981890, 41775058, 935609590, 568800860, 1005095219, 793444989, 918435813, 975702100, 858921936, 167836973, 519169814, 1025386898, 950576011, 729577470, 634819711, 189198008, 553520737, 443298003, 137555191, 618831325, 994581690, 548351512, 105668784, 685146210, 435279299, 534368994, 638733744, 842425961, 462010435, 144628023, 790909340, 385240131, 769801148, 526008670, 407440187, 877585640, 392483153, 638068551, 659435422, 1064278677, 618594360, 22812323, 526138962, 1031527035, 156810512, 225879070, 745301822, 25173686, 735470049, 108406819, 64546566, 324508587, 546384597, 673725012, 981818867, 532019534, 710971050, 1027075344, 485762480, 993394086, 701889292, 1043648555, 845766772, 1000996812, 302258475, 184554163, 651056891, 34595667, 736422499, 922864571, 570956082, 199142063, 146975457, 805529477, 737749274, 492300682, 794440788, 602909083, 860628875, 793716589, 147260034, 374952456, 459055444, 737774832, 146200111, 804177922, 974755717, 1052665442, 697448282, 594404502, 819953710, 14939679, 111968892, 516068749, 746558582, 408472125, 424079973, 1019361390, 207041715, 814565414, 94700742, 1041395488, 487346817, 477141897, 471813416, 335073715, 525692782, 1028907982, 367143659, 807905164, 874505994, 532039680, 542049160, 579917897, 854106279, 679720085, 61886635, 885726397, 46475088, 498140301, 835958379, 1036761796, 1059763845, 857595940, 41866164, 622313988, 192405210, 597116636, 447009936, 910572235, 240911808, 814153847, 315355226, 226487277, 281533211, 582121603, 842491397, 732053841, 234948622, 883807444, 572750286, 840522526, 164750620, 149818490, 538284636, 699553524, 775173793, 795849170, 766498973, 498010340, 601964216, 50277263, 755393740, 923953728, 1013133720, 40463243, 859468905, 696556881, 839392272, 508722093, 94710527, 244591295, 719180365, 913968055, 431842083, 470833096, 292732648, 877492137, 835860346, 234899028, 472581199, 441700217, 483887766, 506410646, 42923809, 133044841, 408872175, 442399164, 224718938, 507556224, 896959811, 205324952, 833071373, 379511996, 371940210, 847570182, 987473113, 910884654, 504616945, 554663713, 66623056, 1006475886, 744614154, 164183634, 522682539, 254940130, 783860962, 422201031, 198782403, 595277190, 1056528249, 43788664, 1071269871, 626878200, 1060849521, 187243639, 595885688, 1058675463, 443653427, 785766605, 133945913, 349735478, 273450017, 961544350, 974322947, 583353509, 808465947, 533955842, 1030734472, 326644181, 323863011, 218186046, 223446113, 594320023, 572194923, 701512760, 608759478, 869644221, 160932142, 54991643, 769820532, 202039726, 515267437, 744319276, 698440818, 252479456, 344799753, 701523068, 8163185, 471585651, 201995088, 893203977, 1023902969, 68353497, 280518898, 461324355, 819360503, 846553131, 571940808, 869475271, 275744838, 615614285, 182879698, 925517918, 257890099, 172619836, 206514971, 125505485, 715524952, 664385919, 226966220, 600990194, 930008432, 368573273, 577045575, 276295513, 335371617, 176887495, 444704101, 1073229462, 776139602, 478886045, 391301197, 444085025, 235150359, 464824447, 175212117, 577597028, 292762744, 138076134, 235181246, 296166220, 763563806, 756665349, 623947328, 976266317, 196512402, 645099382, 327743700, 162314288, 754473392, 479102539, 447420462, 726689024, 105036696, 882563882, 998492398, 644878235, 284619728, 112495801, 929503063, 47642012, 220540997, 186395978, 658426296, 802549033, 362336258, 6520877, 732021968, 151984221, 271881504, 371098419, 318927496, 960114406, 991036228, 765167478, 928294942, 412689393, 637140520, 721076826, 524112184, 365969718, 461881363, 584542998, 794088244, 813847089, 308294043, 186563339, 270984513, 538581614, 163359526, 95855385, 432917970, 150149171, 681404, 689256579, 73883347, 1064022405, 38304099, 347222176, 514319933, 686302483, 1059675961, 723624898, 446032102, 958922694, 492069673, 839685417, 46521673, 247296109, 602840471, 934436976, 539124617, 225730478, 833487354, 762669721, 325819239, 273440997, 254316004, 119778205, 217674011, 855715213, 1013782083, 720393040, 901897610, 154843598, 913008933, 1012160045, 432540388, 810823678, 977548943, 413244112, 230727786, 641576781, 148807740, 346766959, 811223980, 633295293, 111823355, 180856358, 225937591, 977058214, 36913358, 449804952, 52851010, 552309912, 1047714180, 438746968, 204798832, 1020667981, 415941233, 37437466, 111898971, 208964169, 185839825, 608572712, 70366591, 810363529, 374816466, 480995121, 551991126, 783490726, 370074614, 505195911, 380324607, 43674723, 735491056, 702346156, 879720926, 124067724, 494339207, 306537861, 949394187, 245852763, 310668819, 1003466219, 344573621, 846437345, 450811276, 544608590, 451495858, 277516884, 772156929, 538848281, 30227624, 18946309, 781278699, 961703387, 171964675, 669915885, 488081414, 425433840, 548160289, 479829659, 643393391, 938325428, 362195226, 889421674, 829180727, 860363440, 4933666, 1029653194, 201614431, 1006680983, 577167542, 478011875, 75644076, 156725878, 776510678, 255532119, 906692947, 641155204, 346856645, 202889101, 333849083, 270111845, 1053738370, 215913469, 376494655, 807030457, 317380713, 263547386, 99807136, 284076098, 843597174, 993671346, 576806795, 184007679, 1057627400, 4352980, 501961780, 312067169, 868868826, 884186614, 610796844, 238214698, 502985907, 620390639, 342510931, 540180608, 472108012, 14907134, 310409127, 102900456, 654625070, 953247281, 717476611, 114004279, 37620441, 549653899, 735002220, 979811566, 240110484, 517608775, 944644503, 766743449, 294889280, 199386283, 726846811, 422025463, 843199265, 746852812, 778763007, 789581709, 565012199, 18919124, 996342038, 427655309, 899736447, 13832636, 265199376, 808729664, 173456046, 913713053, 33449944, 149445178, 303035787, 664295546, 292972242, 40790631, 659661743, 16394712, 600261878, 298301184, 867293369, 337028144, 976064055, 438519962, 251521856, 972412059, 886240377, 57768288, 602410141, 147011996, 822059055, 112563880, 943473147, 25736219, 195031705, 222740498, 435961298, 1606785, 769837485, 252447699, 947267228, 496152207, 879093526, 1051605305, 582054986, 375361876, 514556, 337533827, 378272649, 1051438459, 916532979, 392691053, 103457166, 646936779, 731302810, 543537967, 1036448226, 1023982396, 651567011, 628170934, 784187810, 882014898, 400077480, 709427869, 872367894, 571627752, 949235740, 1014204051, 214349896, 78881880, 896149828, 384336155, 423917285, 491120395, 60077733, 561351182, 452564018, 267797407, 616224317, 548812778, 404541086, 960466754, 790763682, 526015367, 785632170, 173723773, 754302824, 387269466, 894611206, 979652204, 634889097, 189592264, 426685196, 561045089, 73457020, 114369504, 379667291, 485575569, 560110391, 561101174, 13899385, 747717758, 552824906, 72638262, 452910076, 878351091, 294520824, 262929282, 760300999, 348749242, 857487699, 862116544, 834094111, 819135544, 783122249, 1000382807, 797953613, 392523312, 895691856, 777073464, 655167479, 586346644, 267208779, 694701633, 420878184, 980322594, 1034512096, 513495026, 773110343, 620741136, 572210696, 998703891, 134945758, 273487853, 561537695, 598205065, 660159435, 578638010, 448586935, 176746704, 48171878, 576766140, 1049307619, 104440674, 524686795, 221399520, 590673936, 454455481, 772944819, 486091328, 355314292, 892466390, 185902093, 989444050, 453513901, 38610426, 515461827, 289152421, 53698012, 28989894, 304174912, 383336798, 144426832, 165732693, 985855772, 968111660, 369330507, 1048951769, 274678380, 653073407, 89696986, 768424211, 367251990, 818324688, 955136689, 865456152, 852986486, 727589720, 979973818, 407905013, 813265405, 366082302, 656268617, 439628942, 784100707, 951668466, 153116876, 518622249, 403390430, 237466442, 768242981, 700863484, 857792178, 961742402, 749143410, 782217774, 408472928, 403453253, 920881391, 586226497, 704140348, 783362522, 867657713, 1037087836, 129476120, 776292297, 763767457, 368118991, 515144112, 874728906, 1070728864, 705930651, 841380105, 771003090, 976290827, 915955208, 422001314, 359338100, 382057879, 836969619, 286257384, 745494452, 76580106, 794850784, 558790420, 133409454, 127137120, 803378574, 300418279, 86800235, 713081182, 358306, 650666627, 616280380, 409728067, 823698247, 874560139, 393384943, 151161309, 817926666, 23566475, 585007044, 1056290945, 396552848, 242990689, 973770680, 371997972, 915701331, 257624043, 443357614, 118307247, 98710783, 255908785, 332822922, 402356798, 1055468869, 28635653, 821117768, 798475686, 210000902, 511939522, 401609279, 887777497, 172747278, 513060666, 572019480, 557496507, 97541102, 787344528, 349596483, 848621714, 267938242, 938382967, 41805166, 893752591, 676445896, 561269216, 185585522, 372641675, 603996393, 11310322, 953329827, 516207051, 334336195, 255913007, 423635505, 807106662, 190046046, 549081294, 557576425, 611644566, 384888499, 633154751, 459321179, 297065619, 542023496, 876214251, 154358422, 669311394, 985158434, 962682518, 65365293, 834874118, 464503629, 1024379551, 448505634, 76263825, 278699368, 64955388, 285084582, 328327844, 271024354, 636400162, 971415210, 777100640, 135483818, 197625034, 411940454, 845296284, 733913954, 358317457, 219869173, 796724993, 833883275, 160671075, 980074003, 841854365, 474950089, 252951172, 1016882372, 1053103013, 459052318, 711980135, 401198606, 1004416396, 29218642, 232756040, 575529889, 557431313, 854333549, 729601334, 900355957, 694143592, 915398595, 940113532, 768852943, 678707263, 381923464, 615035795, 919943001, 953572623, 148186433, 799699808, 791876379, 21275103, 929725839, 851708727, 309328012, 1045759351, 190603139, 687784689, 593186412, 755852170, 888606972, 859800364, 239012131, 216501978, 165452585, 672023246, 644164357, 351952849, 393563476, 718556040, 641457603, 11217552, 907636512, 337708076, 939158408, 758008792, 288812741, 818247698, 986857982, 693543949, 754028524, 974616333, 177228201, 460183722, 25636060, 82690129, 69554495, 24340166, 575070084, 819357133, 205942136, 720463158, 296882232, 465383480, 910278439, 409511098, 785795805, 741155280, 802545089, 556020895, 230030826, 360790799, 219711514, 168955689, 511831940, 1011559192, 504360187, 1020645413, 572195768, 606345331, 844242165, 426378960, 218500621, 253127012, 412788114, 472625709, 910056437, 117574391, 426820609, 148735004, 263084570, 795250787, 795045621, 510376012, 431929149, 263111440, 212691516, 277225443, 219839442, 220321578, 44124264, 80527046, 964836906, 230010717, 576136868, 791530792, 977782656, 120575722, 506400958, 259140297, 331740779, 158960147, 522875588, 246554034, 877229240, 307601490, 461413928, 761174333, 821163703, 64604485, 345041676, 317024153, 765009578, 747204625, 260992103, 585159281, 365080367, 836518525, 688351127, 126692811, 296334984, 839211278, 429408191, 118256742, 989517154, 668893483, 449317681, 190400091, 479333083, 770270297, 531637163, 1019751818, 22729396, 234971210, 4445601, 266704109, 737580565, 835200125, 485568910, 667973016, 349423212, 793652710, 56862232, 890282569, 520292898, 570879683, 500920730, 777619803, 1010879796, 611720261, 263110294, 625954373, 231143701, 690050293, 414764622, 261452910, 152188913, 189394345, 389804266, 173549951, 121159036, 126631565, 581627021, 810820400, 750170427, 272675194, 58409109, 277867851, 877566203, 810537048, 123949441, 180004731, 986817755, 777077826, 19324432, 598668242, 530700758, 1000644854, 1050670737, 477030781, 386735688, 641471126, 734839664, 247452389, 222044684, 554082257, 734406435, 534891589, 426474153, 621506008, 784939532, 192033690, 55207609, 242876859, 296468267, 179311493, 1019642733, 965481811, 586284589, 993106932, 134172089, 137950240, 633570709, 104536426, 777564219, 84215181, 838977796, 33529485, 248433398, 1071641359, 270381355, 481932817, 476445918, 1880320, 207909440, 1029631491, 985739596, 428211578, 414528431, 580869482, 240607795, 314796354, 1057487604, 525432955, 644830956, 931779810, 400704900, 697949556, 673981982, 884088323, 748301724, 247103111, 1020717207, 358304902, 872927916, 450441229, 94737194, 447349998, 1048666895, 131052466, 64450019, 230987057, 399505086, 909183096, 501100544, 55362753, 597783643, 31044495, 833270109, 248767462, 773688627, 209169691, 1065077893, 547814842, 772538262, 727749641, 654528661, 219089634, 370675672, 515962142, 930375406, 891167725, 860614168, 352370282, 24610713, 493132870, 530772061, 835810894, 1028447929, 359623913, 66703138, 18744757, 776323515, 425838902, 109745180, 777048487, 597031997, 243871625, 68024208, 484895180, 238940158, 433655489, 977234973, 508002434, 1011203806, 111543509, 151518816, 410204048, 974416286, 656219456, 684118, 441427435, 98763596, 564979102, 503817793, 158271107, 815929983, 442384577, 819079934, 363256195, 646635508, 164025169, 868406418, 356388990, 975380588, 526343693, 472524442, 120169763, 670021619, 732448149, 992636542, 980537907, 397345928, 360491017, 278606588, 1047560485, 375407535, 537652396, 1049343718, 45757351, 832305842, 477812432, 272256560, 467119725, 144986311, 941322407, 295871101, 65134214, 100508535, 83886589, 505504218, 649107174, 649840783, 329697970, 179788094, 719558010, 944615424, 841154491, 221587449, 811388694, 433651395, 732619603, 509789646, 114394607, 514318757, 912121032, 721637860, 431932791, 753747455, 31220405, 545869050, 377662885, 769594359, 256176730, 305097488, 962889685, 755143893, 1023384646, 889487410, 565363547, 54006885, 877471357, 704109281, 722670638, 918355718, 18995027, 532010290, 588712722, 197477054, 294810178, 742806686, 706788576, 960022600, 883559172, 149316883, 334379992, 486405725, 495043993, 956739118, 39042512, 328367526, 127916046, 919577277, 289591770, 697916081, 771322819, 181242746, 896959525, 279707294, 180210131, 374049638, 13891389, 914448980, 499403744, 929621788, 83049052, 41761626, 248207322, 1035545548, 1029612292, 175235138, 426906055, 170815712, 387294205, 454230664, 819727413, 143854735, 177030858, 959923815, 853885632, 521704348, 202794865, 269972755, 424976716, 318544070, 248691814, 538652860, 269082130, 259790241, 559465265, 136306603, 979485851, 404784792, 748351727, 925776663, 999171867, 110214270, 788842561, 152191924, 31649963, 90161856, 95294395, 444060823, 674157254, 764136748, 725859640, 244102489, 884809326, 1069149577, 488814346, 550911300, 314511949, 444988399, 713794502, 139028936, 97524337, 75314035, 27804062, 929555507, 988575016, 534219988, 160141704, 317905959, 510767309, 621611470, 942768028, 103253899, 12084679, 277276691, 601839198, 856116434, 646933779, 907261568, 113141817, 422079586, 957045744, 615101723, 827104222, 713592640, 887559620, 385952301, 355162065, 535607017, 279715497, 362540446, 240367745, 764990032, 739131606, 392917888, 92342109, 331215292, 920713272, 24001003, 862548997, 695408467, 378542205, 818737136, 773764820, 726510318, 765276733, 418339730, 925108187, 311940062, 789886425, 45508429, 160009486, 141365952, 518716562, 64662430, 28938488, 716220833, 1050597175, 12890363, 204400372, 343860817, 400015133, 446729483, 170680118, 181778872, 587986026, 148665973, 199603294, 915278087, 744297409, 525185142, 597254755, 416792593, 961147944, 1033996475, 229377757, 1026247001, 97705555, 453688477, 376023090, 197789213, 422885414, 63611761, 332089821, 705445960, 1010006605, 847537052, 193249471, 631420933, 716271574, 254033755, 831589533, 610744689, 937892713, 815743691, 621744896, 198645815, 772864140, 273998287, 566655724, 635269700, 653661891, 224767692, 193642638, 321834009, 436643462, 488487773, 158638519, 489101008, 892673748, 300034885, 633330560, 993452104, 361144792, 605014453, 273407258, 1072122875, 681325555, 187346691, 419257, 448464534, 692476045, 910924417, 755678086, 690414723, 349937445, 359860702, 111900966, 561761879, 948311134, 441386678, 892388953, 861923505, 581260748, 681968130, 244082327, 493299275, 1003928588, 507849408, 423636127, 373980072, 703827212, 828718785, 1024319264, 205656224, 618934915, 158634063, 464667850, 399408245, 358271949, 845466015, 95333430, 14252589, 816184781, 1065091608, 512976393, 793022378, 966898135, 255988005, 424428353, 75489527, 664444714, 696005929, 1015362793, 487434418, 1007495161, 694429373, 914019360, 145130642, 477825746, 331429374, 82354807, 373022214, 247894382, 371746485, 602728858, 39819663, 324188017, 967833189, 528430944, 210422918, 374162826, 214497427, 234421047, 562777089, 918873824, 387338153, 259669021, 55433660, 749032030, 410484989, 886517699, 411473847, 558276607, 539185627, 174817367, 785563014, 982388732, 643393415, 709215167, 273401045, 410028591, 1018472227, 740558493, 416363435, 606206776, 741598557, 606137091, 240151948, 531215453, 73922253, 351958896, 985657151, 639723441, 1071046789, 333217335, 437605540, 1072228660, 950697352, 558949024, 633823831, 281977386, 29656626, 668161456, 1061863313, 633746219, 742341515, 964748374, 677040267, 673561853, 682457250, 924612393, 161558842, 38494470, 207256764, 839279243, 552285581, 226157147, 384941666, 1067989399, 408415900, 704654829, 224943327, 641925107, 999102447, 103582277, 168494926, 640342387, 140630335, 483694168, 213087982, 237210825, 892419263, 794420161, 257426176, 969716676, 955433974, 656444079, 583015133, 97795714, 616679550, 51962035, 80934078, 496982344, 86188374, 1037282520, 367461846, 359118198, 814705550, 732396400, 479396719, 943603139, 153390475, 365947099, 531339559, 461638697, 761190357, 627708107, 969699840, 7661309, 782562182, 84146707, 387004637, 182692461, 615028390, 699064104, 866671278, 19398722, 985925572, 263863518, 692293445, 127319312, 530121074, 770017781, 567558385, 1040036944, 176668127, 202988498, 1926885, 328665358, 1018377871, 494812311, 927440591, 233856849, 909884388, 485568155, 745813579, 14784104, 651110301, 880511919, 524795385, 159014134, 148958158, 150553416, 135432472, 977975276, 990464442, 952365097, 994310335, 551869565, 162684067, 181535202, 700884587, 249626934, 805469238, 182392873, 810756168, 223499998, 192703337, 317462257, 421554289, 707410796, 581219732, 638099760, 161973329, 903250069, 204229729, 304947590, 14666926, 395683625, 1064279478, 1024202436, 311302290, 276707956, 396065480, 416259156, 784068963, 512412007, 565046481, 135148220, 551426796, 772072328, 275504468, 651292499, 244956557, 1021982775, 85459685, 66163940, 126488399, 888669339, 411207420, 328358400, 1038700167, 525834814, 516890251, 215096181, 310002203, 265776777, 911991421, 601561234, 940913692, 139325727, 543860281, 591178296, 107672128, 133315170, 679322279, 207437821, 644516737, 807971237, 673764923, 329269479, 387390267, 994304441, 744020643, 330450904, 503835808, 899668105, 416752058, 750169271, 789912028, 901241471, 230264575, 404497668, 351532990, 462572363, 919202753, 6162827, 9040232, 140883792, 963303000, 615448957, 709205462, 914843838, 672140281, 43496472, 168727038, 313389699, 678916166, 543396782, 1073500063, 642766481, 303630986, 11023743, 1053169090, 831611589, 772265585, 520550051, 415264915, 584168975, 683559761, 967941556, 113250444, 508724940, 591497703, 531657592, 350400606, 381938442, 630566569, 895423601, 630824673, 648545991, 938446951, 469803150, 872986759, 583417928, 89222301, 529722740, 663360857, 722028438, 533191393, 279792876, 840623554, 739837059, 778475855, 482702421, 978170668, 863760537, 925250951, 509783231, 710278333, 947727653, 149397399, 113027088, 124115409, 21473296, 171512139, 937495625, 687420564, 292286760, 92382024, 522722966, 191465491, 177125771, 485375167, 113027858, 479343231, 459198126, 665184337, 876597154, 629514205, 883187228, 730530788, 624851522, 508848370, 871178280, 220433683, 817644100, 18218434, 299922091, 818418859, 807981479, 684313025, 1025698272, 474224814, 382047789, 314246634, 529919689, 222529893, 578902008, 815364078, 126216514, 120891103, 998445667, 481790907, 152658966, 843922607, 402079550, 47669815, 560165070, 595532887, 660504000, 850932860, 1036228531, 847572123, 88442475, 67038595, 313842485, 450900309, 289554372, 759407884, 325121505, 321940404, 338506572, 419820910, 420139955, 689206770, 43076872, 787975819, 370261992, 254194299, 762032069, 417212118, 871666093, 888110554, 455290101, 873810692, 872906636, 1013579633, 898229969, 106600493, 1017372334, 408289108, 961878384, 570902111, 653442796, 362017657, 491841668, 314106957, 618709433, 763918455, 283276978, 311424626, 953961965, 850098977, 566372690, 173110005, 178649440, 819656418, 1024639069, 1013686191, 244034347, 112853502, 460058214, 831291398, 797066453, 307125164, 366851562, 945273444, 158310142, 341321297, 555779892, 695817396, 30192206, 183420200, 857941699, 265140479, 458099995, 823038078, 404760383, 964499904, 407207139, 398183232, 157075909, 599626289, 370297044, 962051157, 1020765362, 671930769, 183416414, 760699628, 4603906, 624870033, 412365709, 480704080, 98972095, 587375102, 219890108, 1071415891, 1018872617, 5970210, 922029685, 72924018, 108877463, 850871361, 987432453, 932064163, 986182639, 248090192, 915499019, 506196102, 917308080, 956960876, 483439375, 950076662, 935977850, 146431687, 704950414, 640326504, 323226541, 193167659, 204751557, 252761462, 97627872, 652357276, 1007946053, 357631990, 292914847, 277977652, 753984633, 711618220, 536591927, 286516578, 151819586, 785031168, 174583344, 369520192, 570155430, 444366691, 366314508, 229415812, 651085030, 379539227, 162992769, 522150402, 902535011, 58227914, 468920374, 819471718, 684913394, 627953336, 420200109, 699359301, 361117586, 741085244, 687158630, 20941079, 533039178, 916449152, 532315257, 626481114, 317776252, 103115307, 336310876, 441272964, 185213852, 12268049, 850758914, 51153739, 1027626300, 842823930, 63410663, 55481027, 842527636, 666581734, 577016680, 756222125, 501014286, 447881614, 355823111, 974046664, 920660116, 415973143, 934007716, 598725628, 496377089, 934539626, 55095644, 112603781, 547746725, 255028797, 795415641, 805262037, 717026289, 398118055, 953952753, 661537197, 402855610, 993377160, 62183011, 112564627, 487303838, 611792935, 698813961, 855741879, 508756665, 397787162, 210614966, 628967796, 389511586, 924928334, 253285480, 605209358, 384869779, 992422834, 444062157, 554240808, 798841945, 762891474, 836853542, 482280776, 531021366, 323178476, 864059165, 36721936, 610702879, 150355012, 667245985, 182603015, 73036811, 328814521, 219955936, 851181058, 918561928, 209075722, 671060884, 42293880, 845956278, 911678998, 597838931, 49040122, 315977966, 666110087, 622901151, 644809285, 515392241, 253902132, 837911700, 307188867, 752970589, 25104318, 467230080, 567347544, 211887941, 263982522, 54989118, 114924224, 751856930, 559650876, 68632881, 140258182, 572506380, 309915077, 287159845, 422312986, 168291200, 414891473, 405770097, 714396758, 190208600, 484138255, 583097080, 864351175, 635330727, 699126616, 21027920, 101400900, 520629226, 308686385, 486301869, 430310273, 898173005, 115965113, 82773439, 355704478, 143001043, 445442305, 145606074, 391574871, 449658997, 360604910, 317303744, 462251176, 545306857, 244160155, 869214807, 52936266, 152066900, 97124691, 658489926, 913927753, 159248675, 249658696, 977606541, 41131607, 762365683, 608320749, 883656315, 941185017, 851428885, 368325678, 1038104151, 675507852, 577507008, 124503566, 580123515, 807238064, 957546391, 562795252, 172633203, 284568478, 808864042, 397324468, 19247773, 761203689, 989485986, 188645012, 529169849, 529500705, 915162178, 581160979, 414185262, 915806175, 898762935, 825122242, 466770350, 982038093, 882729329, 121942495, 85841272, 408697601, 432767703, 977481094, 714575401, 946749030, 763835833, 1013198806, 795067761, 967107388, 1003299806, 721532535, 742611422, 337414083, 1023030272, 1009058760, 277400012, 571003798, 977434724, 222994138, 752464573, 665636255, 473446395, 115036526, 463129331, 125844821, 563933097, 326392091, 231671731, 222434929, 199079729, 568117829, 86723330, 703215971, 440347306, 949634299, 536643764, 1060505526, 86541881, 384122785, 214854902, 801805125, 1053588195, 147259160, 1042206368, 893904407, 365275447, 503493710, 274245632, 503590609, 876639846, 93282580, 951175611, 929233746, 595779353, 373999669, 87173319, 794246980, 1065895367, 906477579, 539698330, 233306521, 560528503, 591748988, 393800578, 1068297703, 542780160, 55848438, 47766588, 92176090, 778469116, 850736223, 198337414, 930869146, 713563621, 951561410, 1020424356, 883843184, 462386270, 996950328, 189480927, 141151104, 240147176, 253824342, 500612816, 574536051, 640126507, 1011139409, 408918263, 95606146, 339317098, 72106016, 218524121, 77113932, 378781671, 893359257, 450938498, 31423099, 611058337, 237179689, 359265312, 755821490, 1027295082, 547332789, 309799404, 522609885, 601425707, 156585615, 551620503, 297898459, 242114111, 245435755, 229618212, 193258985, 834997769, 607565497, 960035033, 450545796, 1059801134, 523861154, 569581608, 692678305, 892465832, 316125290, 903735313, 947952928, 337241202, 979898484, 349265919, 767339379, 109449573, 40511271, 351736765, 534958869, 828232369, 1012004168, 170520546, 110671809, 358956126, 262212840, 287045964, 42784789, 747879562, 425579605, 41234092, 707206263, 370702740, 978245247, 493789226, 1032900450, 429172188, 634898580, 720040685, 412312501, 458351880, 564472092, 564392682, 122706248, 663755031, 277257062, 941035986, 483377077, 548778081, 288540251, 539771266, 647599310, 102642018, 162018532, 877988676, 18254311, 587454704, 542420007, 331344120, 64374261, 343786480, 116421782, 370941213, 156577585, 126574271, 335318384, 275404994, 477707597, 526154381, 61380950, 593433644, 944357316, 10707515, 538304607, 705842401, 292098481, 583259489, 479177200, 587234373, 571590995, 48303698, 1019238971, 1071611690, 221242402, 588515524, 1058078736, 744408160, 541649224, 770965789, 233483992, 494164652, 942779744, 42003324, 919051185, 374531134, 781673401, 485431094, 442703245, 991668823, 94365564, 903927111, 463931495, 405290491, 754702447, 94890529, 589729545, 120496359, 444462546, 997404120, 897550446, 518730059, 161247795, 853582900, 550022114, 158752360, 158120719, 354416149, 471555200, 880473316, 924431566, 213299149, 123122738, 465846879, 430941588, 111305403, 410702496, 841045485, 561004588, 417872845, 134276551, 273365860, 778788177, 108564734, 58008528, 795070321, 578264437, 1018059016, 287032278, 988290719, 1018001558, 811034073, 740569805, 410798738, 70764525, 289578009, 425997037, 185624378, 967917213, 83628367, 283713774, 53468883, 634287628, 791379667, 675505880, 127509148, 546431651, 737059811, 491428621, 443757483, 811164960, 308601598, 609507154, 717865632, 586089477, 1052570794, 171712953, 463588969, 189576108, 228091744, 643590306, 17853134, 513134873, 159794293, 228440450, 646454777, 916791262, 311969955, 540970055, 633951531, 34509438, 69501516, 152444550, 613120563, 157051982, 788918009, 482016796, 957732637, 357900351, 885201827, 66497020, 733152268, 192562117, 154952089, 945983791, 451014666, 609099311, 37879198, 436107247, 337967463, 895511483, 298337848, 850256790, 476419280, 444376222, 308020846, 541797033, 124888337, 43843957, 628369829, 404455855, 119915533, 649268350, 369220044, 1014698320, 372257341, 305565510, 655921644, 80055761, 880285435, 238261756, 866221155, 293405858, 227295004, 404736479, 804843159, 157634420, 230504030, 153570886, 486358368, 634278303, 257562938, 600020990, 908131928, 785649811, 852907711, 786386798, 7658022, 122599223, 734129883, 756993134, 512662842, 739359378, 566765586, 463112996, 319197386, 503689125, 688179673, 579731593, 918222705, 687319975, 333287378, 382401984, 163445701, 748128543, 609242075, 607954121, 524222387, 713891158, 61007945, 252855816, 75506906, 1035885890, 662120609, 776631340, 602004875, 399676635, 899473233, 309467420, 107940047, 393789080, 697619679, 1056213286, 464252562, 384170716, 342602321, 147312543, 380261078, 1072140648, 1028970864, 437976428, 517846149, 369205856, 262409914, 18578043, 396289827, 256421715, 957376792, 794249444, 339006046, 753636253, 100732494, 450417461, 99335826, 994087810, 56858043, 978968755, 45100389, 774811766, 796874150, 247478693, 221554912, 695746518, 219146924, 930066364, 808176340, 629693833, 183531672, 384389205, 680817733, 1066879572, 177844805, 422670, 1024245372, 886701349, 721034427, 51322749, 370895170, 419976329, 318340307, 489713316, 789126085, 231662666, 1047113437, 138294314, 949981090, 457804851, 318716084, 233692042, 1063250676, 841704974, 24879940, 495083842, 1027829509, 504551598, 1002040359, 648497354, 19240347, 96790605, 829029976, 781195975, 151639368, 367414100, 747862798, 349076960, 916577079, 1065914447, 461238008, 473456998, 1024669743, 107866216, 625436559, 587346768, 289700954, 1026913092, 714397378, 308259337, 533667927, 616234043, 895773233, 783003613, 534701445, 1020514827, 254052141, 639386539, 29291014, 304037243, 1012918366, 836722751, 149083708, 1048837344, 30066130, 262593807, 488217496, 727890618, 266333014, 695222488, 772962366, 878880958, 979684249, 1050511136, 744232850, 247059671, 859094276, 853032397, 722378896, 199418619, 377512936, 112958012, 668865130, 27316093, 842097071, 322200174, 879586576, 870255811, 765448050, 27160713, 799201671, 672229138, 885168422, 902694156, 177438902, 621806869, 433511688, 407917202, 501602803, 551556561, 497475150, 27819488, 554465178, 489305573, 209471508, 601662614, 181781090, 514837870, 722837518, 619293337, 316346510, 768958935, 481058148, 217209793, 164793633, 912265959, 1047931743, 303087179, 832744779, 454577113, 927201124, 477015778, 494840560, 808232417, 688203126, 91421778, 248217401, 321161626, 538419095, 132253745, 675156075, 393676258, 783423715, 982508531, 837068551, 70645814, 239526859, 470471769, 554918917, 545455337, 963331449, 560127856, 136295288, 19882326, 969782140, 591461006, 648124300, 585514102, 110744325, 278031166, 145976473, 610922828, 820682335, 249828218, 766375990, 493569683, 402977353, 806651545, 813644914, 250416025, 319859418, 277370583, 883721188, 454519902, 91378704, 170957207, 1051463620, 210214633, 436244456, 393544777, 891989085, 480598067, 319895368, 311370651, 152350821, 183966676, 762572897, 30145401, 141888135, 117941527, 659374451, 374611890, 969387479, 206786505, 57593325, 213994121, 582647794, 711903151, 348884507, 728597678, 833880342, 777113034, 647206997, 523334516, 989371549, 680050042, 687150150, 484817918, 449062743, 34971246, 845926233, 925000427, 512118445, 457446439, 506300854, 872262705, 157023531, 672632477, 1059411157, 253758993, 942499508, 902823168, 942625192, 61026597, 1029748104, 599163134, 319948528, 239858756, 977133583, 296129101, 87465960, 759381568, 806498536, 198482135, 475483475, 907695083, 867062340, 160487257, 293609297, 120404475, 629192281, 356186123, 180869719, 688589400, 596847605, 841598177, 734675634, 460745429, 469906340, 203669600, 715922492, 624143310, 896787087, 400258210, 1053266656, 871583166, 175216984, 578970520, 565726431, 231754142, 1018647390, 295809596, 958054854, 982548064, 839316219, 409132803, 844109894, 1048626775, 14214248, 840031098, 581099957, 332461898, 316288477, 588402776, 566683992, 438232232, 162170485, 45573287, 768879961, 328704020, 956276810, 568463110, 1033203706, 563382482, 1045902006, 322919355, 955622143, 997300779, 37494940, 1033376581, 567894421, 962613592, 7221108, 795212309, 1009093794, 440358146, 569553464, 643712984, 349708733, 442870839, 345873673, 1064935983, 371326083, 750886436, 323409961, 297325440, 886649356, 876746361, 272904509, 23431708, 1009823403, 733061256, 118259610, 945843871, 35524923, 933251194, 1013415678, 476414605, 575224220, 985199582, 206463922, 682602155, 358680462, 592690749, 687077961, 873554677, 548037387, 917154608, 58465359, 155155092, 639493822, 207921658, 404450773, 459908529, 208310593, 439229154, 761133553, 392222775, 514462560, 904080338, 645867801, 890160685, 172110118, 187879451, 439213606, 994788168, 576828793, 78989678, 876226031, 300675156, 816522305, 14913827, 929699794, 318559634, 998179268, 819557047, 818498248, 276994026, 261267578, 119338590, 325759427, 12674395, 316495528, 437562219, 1006177380, 377442895, 1055045975, 992321580, 920687317, 1058273447, 823040686, 339574575, 940895888, 315613614, 970048092, 723968997, 359334098, 43464357, 442604282, 858512506, 607794453, 941083944, 85697646, 856114226, 275934880, 895758982, 1040001936, 184271918, 226950942, 576612805, 3142498, 75320052, 397706049, 195672279, 592938953, 175061452, 450213192, 886196516, 680727223, 323867854, 872499559, 63597607, 777406569, 294695266, 787563755, 759649018, 814170242, 636551905, 391421136, 312170729, 326896162, 429806394, 490857966, 578779639, 953643194, 811099353, 142461191, 345758142, 526395936, 759526468, 516979942, 909291917, 778866947, 999929450, 759026857, 923054786, 84641615, 546589381, 338737555, 10066445, 27741771, 159861817, 823412387, 663100425, 760590479, 854137474, 51595576, 90050125, 353235088, 933011127, 976725494, 685593578, 508205662, 386903180, 929344546, 663626647, 422260391, 136581283, 296889827, 691183078, 335322073, 129810918, 135411681, 826705335, 140082770, 1013231521, 899657814, 692927817, 1021429607, 110972584, 264228742, 327064144, 395221096, 301041218, 523860606, 748168243, 121765084, 185018715, 34726888, 90299271, 31922073, 583448008, 378124712, 17850124, 566107700, 400194498, 759637489, 35972492, 36854053, 662649260, 1041283430, 178733449, 143595269, 477386243, 61801513, 923542492, 700935813, 1046722332, 626532176, 28364406, 699061558, 366784297, 7333924, 82416884, 1032156555, 12173785, 934816082, 871712510, 720783828, 803857243, 879713706, 1008157076, 3060716, 602306636, 1008331611, 180959149, 494026253, 299010724, 694408644, 67300881, 738549809, 378458501, 539441127, 963489782, 925922976, 509158427, 119587694, 180522351, 641352385, 142931104, 475268551, 270205879, 441610022, 314627184, 596359092, 681470514, 93816266, 646322496, 135344459, 396744689, 401710071, 258691233, 183759512, 761418443, 576343728, 150765563, 694069980, 467489312, 751553545, 524770076, 967727923, 57704905, 769694452, 881427598, 495000672, 56293926, 121423478, 238999197, 1039003671, 432162293, 74426224, 946907286, 334578069, 1065410727, 681039413, 226261753, 546048774, 446918675, 743648805, 39147955, 696796415, 540137790, 449560223, 475252926, 8339080, 301330881, 481699757, 754513907, 342521555, 742093204, 583772208, 851469673, 676732017, 995194513, 829894301, 673765851, 645801909, 715397762, 948315028, 845944363, 502081986, 431157390, 706271206, 440735733, 107423824, 271671471, 984658279, 869134223, 660296371, 1025951250, 696593819, 958958493, 790776089, 181421502, 292436584, 902069976, 717657998, 310548866, 838507382, 929145037, 465836853, 207743618, 711765667, 266266127, 103997892, 270885406, 308045671, 493540884, 440532296, 803064826, 570382826, 270658742, 558228968, 45548946, 952603224, 828032859, 534053362, 381660821, 883163224, 449456974, 768533444, 1013152678, 672120992, 973852375, 169225305, 945671175, 79919971, 493820386, 719016963, 457473235, 1009026558, 966317933, 681933903, 873727426, 460067203, 985768594, 1031794662, 589015195, 553027540, 278300242, 790710939, 901778081, 417366020, 270051654, 177280208, 180730327, 318071527, 442392163, 71427426, 536308685, 541549043, 911624458, 496745311, 67989838, 1015072485, 696394041, 387830430, 525553323, 816028264, 650040714, 61670658, 64822559, 634003859, 692583523, 421468645, 205528006, 394310977, 760516116, 342750557, 775806374, 814861647, 822368855, 36487799, 162174602, 465624236, 135192912, 562791069, 428264345, 241242696, 393061052, 1071762294, 987318046, 868005680, 388386146, 362479303, 178187742, 565477282, 1058127986, 418322913, 917959608, 676541553, 555934770, 552700091, 192477966, 713729964, 430691788, 937333268, 1044960176, 657591206, 631864191, 587437397, 125632682, 1026488277, 834066339, 1020587296, 958091836, 783017268, 1027419964, 341977198, 910527353, 1073443900, 241405591, 129087496, 67295064, 1036209467, 261919081, 1059945326, 291299608, 981092149, 795004235, 984493883, 977857084, 181841677, 77672711, 873631415, 832781911, 788381286, 303903413, 372366184, 860500906, 763193613, 827759786, 949673185, 672120755, 113799904, 566006712, 923040907, 832641347, 517972924, 517852802, 269332894, 330151633, 683374409, 827823618, 200306505, 846322664, 746538835, 8381179, 351618643, 801850267, 356943365, 122407755, 383280055, 533220349, 1020967423, 415025642, 76242540, 465109268, 59848062, 279641223, 145815430, 466282707, 296323547, 362770334, 131953213, 951852778, 908268306, 467881112, 930131847, 845128558, 306476243, 293093551, 713927824, 808362867, 803153325, 224947244, 98646809, 15968088, 1032364255, 189920741, 732469780, 679171403, 421083021, 221966645, 344494683, 239387607, 687529453, 484386569, 965629752, 3162130, 224468360, 484627992, 662409363, 1068671428, 704511501, 780017376, 12773491, 772661978, 650521448, 990637983, 930350246, 983022861, 412313023, 433447170, 125990873, 1047830174, 715343327, 204459605, 189804118, 769952952, 1023171125, 439582929, 322414838, 332561501, 418785550, 675733695, 214711863, 205156354, 803437252, 55957434, 954188679, 459913635, 1046766155, 745090540, 464030696, 322019062, 853170744, 726549661, 303901085, 366536423, 452454396, 499772069, 28361546, 677346274, 866591431, 1012047980, 460864808, 969283726, 1019274248, 371374699, 56785394, 1073497722, 862274099, 1014864456, 841064085, 56030267, 928801664, 499854341, 774979865, 302386463, 880056217, 681668005, 274044460, 230699736, 308864383, 928901368, 820779976, 712131912, 1040909114, 215935719, 921856244, 756133741, 908462816, 18517792, 405839787, 300162359, 137321110, 201708976, 149357340, 75640982, 768257721, 138446323, 397448602, 646239485, 873677379, 655383900, 698378175, 451214819, 756655533, 722421919, 740633619, 794253011, 847640580, 722699654, 1022734819, 256909992, 743122028, 450158725, 836804247, 737968209, 1006032721, 862872594, 744645634, 284874936, 326947344, 469802026, 777877353, 249195881, 317816934, 141471034, 1048753175, 596494311, 1041968662, 205376812, 151704130, 424976236, 320054708, 791669394, 390436444, 720249148, 863475816, 353279564, 274420501, 929373811, 970626937, 1069263587, 432214836, 342745452, 681652590, 82090093, 262375423, 239935203, 367715996, 361838250, 277204493, 338608552, 220565686, 1046471131, 539442923, 11560077, 644651924, 485800883, 695909509, 717527723, 901260441, 561038583, 209114670, 272899147, 609523016, 341693261, 895572471, 878005144, 110484231, 48343309, 736956715, 354372485, 588489011, 573350654, 143273443, 179357806, 974649063, 193061266, 368197793, 699553099, 657384663, 596619685, 752334302, 235962469, 360973904, 749611423, 378540821, 160184267, 593573299, 666136442, 920158905, 863696223, 224345611, 1022184668, 978564663, 13971505, 140995300, 306417126, 766349107, 710862016, 129852862, 998719553, 1012437718, 876632195, 927317760, 228695735, 738455641, 570494670, 988109621, 761762083, 1070224000, 262221477, 445777867, 178385037, 232449914, 604607144, 896895028, 469677880, 691422576, 455861841, 267096110, 277409278, 968535282, 120268914, 661958401, 857904894, 1019155296, 139102795, 769183851, 741659817, 51518557, 1064451865, 263195692, 561817266, 1015218090, 258329746, 903514410, 1036591153, 302702109, 452392378, 493060863, 267709815, 928911363, 321704348, 115326430, 185496044, 456894137, 162967484, 849912535, 914509819, 971422239, 478041002, 200319520, 837596912, 884154361, 119268744, 923099574, 834929086, 296776260, 201705624, 424604083, 880897385, 420773666, 943226338, 268795770, 796071927, 243863780, 236725916, 1039523041, 1069209664, 671354642, 230552237, 547527523, 278374988, 990487027, 80686861, 604050888, 164576206, 75438455, 305082150, 345904887, 277990277, 677544148, 493332647, 457206055, 1019638077, 918776495, 32657595, 954502737, 490174138, 774690486, 813695941, 160702130, 815787195, 1053566872, 825348092, 669778483, 130498840, 979968309, 108344191, 883074740, 110197164, 829861835, 643884092, 1020111239, 598175372, 291921145, 170767685, 588782958, 154754090, 437025760, 84381522, 314145155, 29992575, 808973370, 694374913, 373583481, 863469799, 1056320792, 793879549, 70424912, 1039073275, 90295977, 562365312, 828829870, 72729041, 624276237, 235326584, 45268969, 103334138, 944768477, 204631736, 270641258, 742548112, 718811985, 492221561, 1058754901, 167457542, 1072452339, 24262764, 934697930, 140219357, 221409635, 664814847, 887752538, 82028053, 514966133, 927306877, 560088081, 897475936, 3616076, 144158459, 1037729041, 633950290, 742278929, 1011933204, 606081416, 334624736, 961217606, 956928370, 1049804762, 383276882, 102560628, 1059025721, 519587014, 960232804, 622398848, 973700634, 1023416363, 4181606, 838709985, 568196697, 536169427, 983457364, 926094305, 564793505, 125938921, 162002601, 55430504, 176993600, 315437483, 772358973, 692355484, 931184599, 733226974, 221173304, 921933785, 929008574, 316760537, 1020014799, 205607604, 442803599, 461432822, 394884809, 269691918, 1035115955, 78437445, 374750442, 139834474, 111650355, 698994393, 447509825, 224169482, 297039639, 172265513, 617456868, 367849902, 549864571, 653061434, 619474026, 517617198, 189213152, 768441400, 684657735, 741708892, 647817538, 459989372, 467143410, 821283866, 520941207, 259118867, 126266006, 353650141, 738627617, 374898776, 853360880, 253445836, 756267006, 77088083, 489705499, 758870878, 598641334, 196535379, 15861002, 980354276, 988523208, 652211998, 145861391, 774208275, 348047227, 781821885, 74900030, 489735375, 788483218, 860274913, 1073654774, 267894959, 728446008, 331716357, 162503438, 48569760, 638164032, 112387051, 616437197, 324131345, 897027010, 1069876806, 1028856679, 209060667, 126364070, 919772534, 1063541234, 951356216, 133193592, 613162432, 304238464, 456433396, 853268596, 288125714, 403970959, 509314496, 132479983, 144669452, 4016379, 620222425, 299594503, 971343224, 533404831, 61028684, 26443034, 1018903380, 967320018, 891442008, 943117822, 747143312, 850231676, 943904648, 205130615, 671942979, 400318453, 840917391, 150753854, 366045103, 696060381, 809373314, 438263004, 440602389, 837006185, 771025222, 62005994, 604923782, 918693307, 101582871, 22057160, 919753007, 282998970, 396918211, 615632916, 48028195, 23199855, 813616753, 73912329, 848781194, 40379846, 416912130, 157276206, 728709005, 237628175, 738692045, 678047265, 352997072, 550356057, 467092226, 877856210, 932747149, 1013529511, 156736343, 659971509, 365743261, 1040242088, 444851200, 303811223, 796309037, 1029496866, 638354768, 11025014, 280991261, 658572601, 975357535, 678435566, 1011131513, 780133886, 932314, 339976147, 1020090430, 287329887, 254293768, 1034556236, 444936041, 410515353, 782395038, 183745168, 985949797, 928309276, 420161535, 1002932273, 382684839, 738991308, 907523832, 79132052, 748716214, 97491388, 266228849, 912699029, 894524944, 172863223, 463266609, 651326878, 1025749391, 690736060, 117112, 1060670634, 498120606, 345449355, 982578474, 953487296, 385007822, 136364544, 958130659, 1023092726, 837774795, 891463111, 361634727, 164533407, 910976388, 113207490, 808119048, 669378787, 397850906, 840337144, 831249323, 970525722, 361845883, 821526430, 338548553, 593410194, 217462773, 297624658, 126377823, 88244929, 100366844, 514694491, 837703682, 54146858, 1014936080, 534065311, 606990309, 652852533, 363534375, 1068686741, 481191565, 221390579, 762735320, 220674511, 852597726, 362954429, 842118957, 926443186, 872200832, 835642005, 308324270, 464453091, 844492479, 936423602, 372264039, 69532097, 454806391, 279916465, 532831266, 823540591, 634011174, 1067250918, 621059002, 879647788, 625987350, 475310491, 74806512, 952658201, 224511426, 670132613, 100211042, 662198969, 427328466, 485841512, 105500125, 60645475, 961123909, 1013332501, 440560724, 1072032357, 997101271, 921447799, 17772033, 292706674, 704697343, 70793816, 945589971, 789032786, 1072277460, 603815817, 54405522, 1066139265, 458677974, 331632297, 937553077, 499611968, 139473903, 606233543, 705036076, 1038673320, 504596488, 798333593, 785119363, 837209509, 719224953, 737603040, 260460300, 310640794, 27439133, 1065024212, 987304715, 43852182, 833508410, 197269852, 833175183, 848625933, 8996868, 194928522, 91114439, 534142283, 981661489, 874877799, 910766428, 291667963, 605726768, 423626249, 773709352, 105604361, 361463984, 359182997, 317224081, 907623807, 864246247, 381615721, 180301216, 991215803, 272999155, 867832784, 127633101, 71284676, 970127901, 242703904, 374789772, 78622237, 975603929, 166635032, 358563192, 807779887, 288697534, 667850772, 78255649, 224947766, 10215692, 303878079, 102921221, 1065120241, 421680372, 835408814, 402987392, 432567810, 1060882019, 500066971, 1037483844, 329834052, 1959231, 1041602828, 279061161, 794009642, 157570089, 16491065, 696134311, 894384139, 66864793, 484062194, 326061408, 985828498, 478193034, 139041116, 981534521, 510116137, 802724100, 202681215, 986317050, 1016110631, 175502750, 850899334, 564055393, 872475395, 639034122, 1019285124, 561632212, 586969150, 563993111, 756403587, 130946280, 767322227, 886332629, 666966948, 835675584, 41399852, 953873167, 453695820, 1025386495, 763203718, 414370435, 20651530, 871011445, 156864938, 523629843, 669322839, 924507897, 369670509, 317491452, 312678527, 617085935, 520106574, 1023951105, 635138089, 340597900, 712102632, 477945394, 1014800028, 845739733, 30696024, 452389636, 39435575, 321033196, 104138668, 66128260, 592299057, 119603514, 601911523, 668640351, 313228247, 763524209, 557421200, 303437981, 1002537365, 151734715, 940265897, 177734093, 705681335, 10708482, 686335131, 197280562, 284937948, 342877862, 255354366, 970061821, 608491962, 263320199, 998548195, 936710374, 985834400, 939098410, 243070270, 399718136, 492418865, 563098597, 158523420, 747707372, 11798219, 548827017, 798786442, 107324290, 208656363, 909615059, 1064962424, 213703809, 653620355, 2833539, 742388383, 811879546, 710950396, 490227649, 20577522, 201066991, 869179090, 188624166, 558880748, 529771307, 1033521601, 255456050, 59052681, 1021235051, 138688055, 760207602, 66120724, 946123662, 600125765, 68936007, 1031741104, 884833730, 1059687963, 68970251, 78634446, 733157816, 41219505, 807994169, 251758120, 418609550, 651675717, 235180392, 44451875, 780515389, 199744820, 939396000, 462767341, 203574033, 389945831, 62655704, 147555243, 921014506, 738958339, 617173481, 831517562, 35694505, 823828193, 485901473, 739054910, 509720211, 773889615, 490092257, 457527149, 539953181, 98505236, 717200375, 970636634, 1046492288, 536579642, 266749923, 954763806, 48565905, 271443804, 921707493, 1073492018, 855882222, 511767911, 953087836, 197755400, 1060828082, 1050638277, 873923200, 128036524, 775419145, 679568481, 425468073, 764179337, 355239653, 902243325, 631398983, 995835617, 433311740, 102877375, 260565488, 681320499, 429744260, 1045920147, 906305997, 300456201, 382942473, 554686689, 648185693, 38052557, 1032274453, 512923397, 249333017, 444310801, 1029295232, 246339065, 831819024, 339507739, 821667898, 749765110, 407929771, 52632757, 953354021, 324563389, 864386677, 836586814, 522979671, 1066221770, 942548118, 317346163, 504153188, 882937021, 1012673838, 851890466, 154067378, 1036438343, 16187268, 246909931, 273523734, 984629152, 743322031, 815409437, 79061606, 467874897, 2169818, 650767954, 682692198, 493499161, 882770017, 1007373277, 700010214, 313568960, 974023867, 1069952537, 739377540, 498570746, 2800100, 251280424, 29634579, 525518282, 41608358, 456934581, 1048104762, 342259677, 519102043, 541465832, 549267972, 629673267, 182594007, 923745918, 775687645, 943420069, 186841671, 105729979, 205948762, 622952849, 816874659, 538430207, 842807354, 366792601, 570735071, 980223668, 600474364, 820644737, 340677137, 871879389, 93943731, 512262520, 715640272, 680855194, 832344716, 591173893, 999529301, 296838600, 32251023, 776746480, 483899459, 1038003285, 581681559, 191482865, 92001882, 709071461, 784386900, 41148679, 156704064, 679849822, 678189445, 837394776, 208892375, 716719145, 739382733, 510131853, 362285345, 487381655, 829112565, 456986255, 887585887, 909096590, 1018547680, 988655528, 361022141, 626594885, 942264124, 739185147, 254312482, 847344152, 405889245, 937277293, 636737046, 23636097, 437208131, 444089073, 45099399, 736721536, 706859888, 834532335, 829995165, 931231862, 582705148, 36381689, 140556573, 580366905, 516695759, 487088584, 55921217, 963845792, 883064307, 904221838, 457786259, 372094564, 428395712, 420844039, 683297244, 423705682, 749777890, 903148052, 775735508, 56787808, 378853623, 603072738, 716170424, 955343644, 433360636, 696538952, 12728606, 255753281, 744665399, 710370337, 1024031775, 49079608, 925588146, 109435064, 1064888510, 511466919, 788737491, 393955218, 592900068, 72674933, 336758981, 272379042, 178412131, 812084329, 951738997, 581030890, 659520390, 355453063, 649206165, 369762300, 598724698, 455897033, 624332410, 538277718, 127613153, 803858806, 675588470, 953998581, 976924467, 189850954, 881945055, 174357160, 969971655, 390636615, 127975357, 789129893, 225251077, 367398334, 177484034, 521267952, 612527439, 450458745, 1047242305, 912040391, 582085841, 306822192, 229225121, 956341692, 875037949, 1035780312, 910502947, 644749170, 870258088, 406604473, 40248144, 603632590, 172082672, 873664461, 338721255, 12230350, 214634168, 572639097, 82558491, 776423267, 76890550, 966643596, 159555994, 129459840, 15956216, 751219668, 907678931, 20285218, 139049747, 493424799, 801169005, 539055565, 207044954, 189064192, 667603488, 957880679, 170870246, 1019141314, 1023212544, 930723824, 5815029, 326826261, 15671610, 714277820, 930572319, 204749705, 273654186, 547848252, 20200876, 238194663, 694295014, 116529537, 125771796, 233964418, 800537438, 928653367, 814236509, 862182320, 987571975, 782708100, 663210479, 374067171, 648323190, 11172257, 608595984, 984125242, 545396354, 14013325, 202373665, 992004975, 936395849, 796747944, 782676440, 1050549233, 592067165, 94312287, 59722598, 665025152, 861410571, 645151465, 613511120, 937118252, 121198852, 1068983620, 284938012, 621344605, 131616651, 61586932, 774460479, 382042653, 737005844, 495664658, 871357555, 1047670573, 742352891, 405302470, 186721806, 664463261, 273926195, 264743922, 597038325, 427367134, 327845080, 11605576, 368458778, 769065515, 323106248, 393674308, 265554491, 949407775, 578743246, 563350580, 289818558, 603676941, 291770654, 198961391, 348260331, 289687789, 518662020, 589390544, 371907181, 303150593, 1053954603, 112901157, 170083766, 800519490, 505193787, 805284825, 743592253, 278462760, 255825883, 467561914, 872174014, 812677306, 5115814, 1005552434, 308763027, 796572973, 414499620, 603109649, 454951351, 706755068, 951313971, 12404331, 483123558, 178832069, 955005013, 23178575, 379243127, 698862466, 570153259, 938369808, 818646293, 874624425, 437707029, 410139766, 430240596, 438049562, 758247381, 514445026, 699923824, 583968195, 847700301, 313451152, 146395721, 123691933, 140976214, 82619014, 335587054, 327764532, 432449514, 192526828, 115871430, 116274553, 114081905, 173429739, 990196484, 192603593, 602488119, 702253304, 140155151, 176031232, 209507454, 326607302, 848642457, 637670659, 37226790, 375411162, 819644522, 261867866, 578457285, 225534154, 932680529, 91948169, 819151131, 384270330, 909747065, 746064177, 283331762, 62342955, 482176791, 950326637, 798489269, 913013944, 245930548, 412448212, 380610479, 33306922, 909291916, 353672774, 499904294, 171080434, 424551603, 198288816, 403814803, 159913620, 935382609, 264321958, 114094577, 925671156, 811365501, 30161000, 441796911, 149353939, 488139807, 60706927, 10104619, 69950233, 521216658, 63845096, 313120658, 440157423, 126357722, 992683881, 841689580, 700927003, 253895509, 718918070, 24941292, 303071127, 975618370, 608322693, 449276784, 358321334, 359066068, 1000479405, 253132782, 201697655, 108915447, 654816404, 308157914, 414225223, 601434038, 788569441, 90540001, 118400662, 689774622, 982459313, 603577105, 90517916, 389306346, 253661475, 132109520, 79142034, 841207246, 218870364, 680940093, 721515647, 392296371, 357664007, 778434052, 478787413, 678606241, 800237291, 1028713572, 873733351, 920901155, 144107815, 582744134, 998403149, 166652426, 1070513849, 366676239, 709936392, 1068825279, 767001524, 496501346, 512661217, 1023729517, 540860027, 640833085, 334021390, 61267633, 47371718, 105111306, 387836740, 236118146, 91105590, 478073647, 735615366, 846751959, 658096599, 633049100, 535663705, 490182747, 299910207, 501662763, 96417419, 297603399, 187831035, 761012544, 827985034, 213122938, 602149413, 379378229, 575162942, 155111203, 271568162, 585347871, 737510953, 1050289633, 80579616, 318851515, 810520361, 511543385, 641606810, 333617264, 97968841, 467688709, 1071335494, 694979159, 198356243, 416905582, 914223964, 606444317, 332604990, 829986561, 515894999, 786562075, 342073727, 854518620, 319585217, 934983849, 698238499, 925628634, 84276215, 609116174, 967911462, 40319781, 930211057, 221657955, 221451735, 1072639504, 736590066, 438431206, 1055930621, 766279369, 329750622, 755300226, 629583479, 412234197, 701020129, 586336056, 466028892, 630731689, 272895397, 990935685, 275552316, 366335639, 372112566, 929156824, 662543776, 668466708, 1025333186, 449247452, 619875188, 889915819, 95578916, 464039775, 547422774, 640271471, 104866674, 386090558, 221071655, 93175387, 641720127, 699580917, 963592700, 696503059, 887655750, 879369384, 933868447, 891729917, 311937415, 33302721, 896930038, 213561967, 462888645, 322369418, 945110065, 737595404, 57790446, 842854216, 531524775, 344256920, 1048219063, 651750365, 750075200, 530752468, 384506297, 683462733, 573177868, 110036383, 852669168, 516691154, 897474704, 129757585, 1013690980, 491465860, 396723483, 692104854, 501352487, 866336942, 522604854, 850652310, 599993712, 537451124, 529507583, 915692874, 749753768, 391033763, 96625300, 1035002893, 125613152, 443466303, 860856392, 671835180, 694846648, 259444947, 783633436, 190809034, 613743089, 689388477, 233301572, 540381500, 727358205, 273394445, 604155041, 929846886, 234441914, 334048181, 714626193, 240428723, 310041120, 173431004, 146555461, 1070546285, 247526421, 430644905, 491076029, 1020948809, 362042966, 602446472, 331544031, 569453688, 871120029, 217170988, 552665108, 1069125676, 386746176, 611996424, 909617038, 345888669, 263459945, 716605066, 641050922, 423204157, 1068399986, 514299921, 513912346, 1058985766, 1050068277, 815320541, 1033159642, 366413683, 478429795, 834861577, 847563894, 822977505, 80948149, 687551081, 842034942, 943221838, 15868871, 753945396, 121467437, 730637822, 848181062, 225967887, 101353606, 779914793, 193315545, 43052435, 349851333, 1032453142, 442707252, 33819395, 345373346, 606001534, 214807296, 980650492, 882122992, 291094433, 1006614080, 295249140, 373055237, 670317113, 587673006, 391503952, 376697106, 825090069, 582153971, 708628973, 769666028, 321777861, 638877400, 879583689, 847688952, 778454153, 559644032, 509266639, 605441793, 386834723, 350581853, 229225140, 305519219, 831498902, 801844204, 418913006, 1024288296, 999757059, 888140316, 154228275, 391532231, 616384493, 404461594, 991986121, 638999077, 73602144, 365752859, 685937756, 726785519, 652630592, 44470557, 222767704, 477671769, 230667106, 676305032, 1049859242, 873598393, 222278543, 780899508, 26603238, 64394940, 868121637, 647023163, 216670849, 12033421, 510524492, 779460882, 67429790, 779066151, 903084547, 203629241, 736648207, 955129900, 616949875, 517378640, 408903609, 292986200, 536340846, 710721763, 1019622712, 277810346, 189165478, 379996702, 767863272, 527252051, 105221129, 721564616, 303440583, 855034182, 690193276, 983808054, 492766056, 804338051, 974311892, 214276127, 610034689, 830455779, 66342835, 76829454, 929303078, 681826504, 21344940, 753277916, 177011323, 498402224, 163481609, 492967462, 799265650, 227020217, 271697981, 936244691, 787071622, 566618988, 632492944, 502206977, 1068254038, 839613378, 670034169, 708106046, 527866894, 844502352, 638499988, 284174807, 1026153167, 1045324969, 67292867, 544209004, 1035908004, 991380069, 968547742, 318306165, 108497957, 17527245, 1046599251, 87770324, 722368852, 381699806, 740385096, 212202597, 22694142, 933153112, 414702515, 478938549, 439822356, 305944609, 346559872, 119216635, 977175698, 995907103, 326330408, 232291752, 640608735, 183633808, 724826730, 96715150, 440109829, 270770684, 323178018, 906281174, 674271957, 440574682, 595513861, 330111319, 888824660, 674240204, 1010346902, 113918156, 18333021, 661362208, 1002020021, 571365187, 880637181, 409017607, 273005479, 83424093, 62738795, 556468623, 37680966, 871407684, 912497166, 134011757, 819260314, 23746261, 167299772, 664995801, 736672131, 825692120, 826253476, 891894632, 42740278, 518030321, 120002282, 43597321, 992189275, 849937783, 895999133, 429589543, 842594592, 726006725, 683513449, 372711457, 428540306, 166684410, 1070725296, 743883847, 86553995, 968363213, 71621513, 884562132, 960339117, 682774244, 867928431, 134832782, 385607357, 746131925, 417184021, 415082293, 21101431, 132223545, 1071545713, 46272477, 1006886513, 30254369, 313701410, 359755917, 506042272, 200043405, 260055328, 82858987, 397273447, 629033521, 443299568, 1028833947, 117347014, 796302865, 287603876, 885907915, 260579056, 549150682, 552951325, 1008203315, 330972506, 390620024, 607801438, 20713881, 964400185, 129512797, 89264525, 627452019, 621641551, 812535170, 474229023, 1068145563, 75015003, 221537251, 1000879919, 638158146, 279376960, 840422818, 46273409, 397954277, 1059868602, 440517320, 1063688092, 149674097, 497883545, 506889284, 496907004, 378062997, 478388408, 269029692, 791997960, 1045274538, 654911775, 452263173, 745301347, 309972185, 248903250, 356103883, 444958819, 744107837, 683485126, 240613330, 836954703, 840903097, 338389074, 55284488, 440899151, 848700677, 281395894, 313229461, 771771502, 738273258, 5339651, 291319819, 134676219, 1072577570, 287556819, 214671423, 626380386, 1048377367, 800142322, 577544447, 675315417, 184690804, 717315516, 227950335, 930926149, 29330576, 448315749, 697370584, 948251743, 582190389, 22110991, 158175446, 231422091, 262628683, 902269981, 229101118, 684003367, 207089540, 264855502, 234033235, 43817300, 7079744, 528684436, 214049406, 924232187, 215739736, 843394004, 154650737, 764372601, 439179860, 648941680, 613663630, 573277287, 356868499, 918006362, 330588041, 293191609, 1030510396, 704273887, 6910518, 618528070, 1062997971, 67278697, 977368749, 955945430, 428919991, 468421636, 202675969, 803646207, 1018023981, 447852097, 291793992, 753275694, 416426103, 551039455, 208313672, 589614621, 251429750, 51223623, 177174059, 119849159, 287472791, 664263906, 329378452, 166351503, 266515863, 166829895, 898869008, 987953212, 269818547, 291438058, 576488493, 1068910167, 227247767, 1034712807, 665057801, 472296470, 1028911655, 817578666, 857814053, 1028356166, 604185768, 241725514, 326168038, 107812896, 315922783, 508782681, 1003475888, 866573209, 417464853, 952575998, 279727662, 274416929, 123823110, 194415352, 168941585, 188930366, 68731385, 654399236, 137457722, 186908967, 733969422, 323995471, 180186061, 287516212, 796596876, 804731800, 533617375, 179125370, 77726060, 382300332, 72158775, 539383578, 554949176, 989035295, 144166534, 97012645, 250401431, 809046133, 974269122, 561938330, 32684366, 816170719, 384143562, 749110322, 770610484, 883148665, 683936162, 900536280, 921329014, 618790189, 223712563, 445095217, 988595240, 761154124, 748559483, 931459469, 440754462, 908626907, 815537505, 1037581605, 147696223, 103409660, 110356816, 123447593, 691979898, 602876242, 399344557, 919265422, 779065860, 574199962, 77925391, 694005725, 538618311, 871554036, 866987084, 409040781, 802626478, 1054384063, 1044198701, 500219792, 208906868, 852931302, 854340280, 484163117, 813184906, 903428743, 234847731, 506335689, 586897624, 440248978, 145658408, 454160559, 92668190, 601472967, 433764781, 544350531, 321697654, 715028970, 944371142, 611805249, 652182478, 876158688, 232962016, 715992234, 214224754, 409942481, 1070714321, 534442383, 296503129, 604373931, 126904147, 342984660, 696518635, 489327912, 249967921, 772369668, 815269033, 804358776, 76884976, 993926341, 741415554, 981545739, 213505352, 298355773, 773839703, 351824376, 851325617, 65281995, 1001391513, 575870368, 975278668, 696411954, 790921447, 384927374, 703896168, 202817130, 529040442, 312660396, 89479560, 1012685485, 733612563, 58355786, 1004835614, 41994512, 464681213, 530833156, 988338225, 606920079, 459525546, 114969792, 397199608, 771426673, 770377820, 133808804, 1048448597, 934359654, 614646651, 704140271, 1066384084, 961192929, 600163963, 199324000, 96035180, 304129165, 1035212975, 906411473, 161253321, 548245155, 854284244, 483321609, 485583068, 422892220, 51445242, 515022730, 913408258, 405422338, 948621970, 1022770315, 107380248, 253673465, 438680498, 677253331, 676259439, 58196664, 1022362835, 476691252, 715448162, 243210866, 546077466, 14231839, 1069453730, 206276504, 284074329, 161499853, 842322183, 376253607, 207479841, 398982101, 300985521, 438188308, 579781563, 761594488, 991474115, 996933332, 196264297, 659077989, 664977276, 5491233, 1026456326, 125520391, 880930888, 160172038, 562324228, 691261990, 255615073, 1098989, 37485141, 655855057, 601601087, 887785385, 622265547, 597420200, 206249258, 816667347, 633975450, 156204175, 1073480185, 438317929, 21957255, 842595383, 547912799, 318732351, 646821305, 698950345, 510212490, 458958495, 50390671, 305032091, 608746410, 591418008, 492245532, 838379178, 1033018707, 193558550, 917615576, 627262946, 685538147, 572883739, 939733893, 930277674, 593257424, 344627826, 147675719, 687182829, 308602576, 337617983, 1069029965, 728251901, 568476061, 1005407600, 158237805, 909310684, 498788142, 475488672, 814501513, 591017299, 817531759, 120675226, 227365994, 523237654, 370264870, 945771972, 769827303, 223311064, 130353672, 790570458, 51964615, 13204649, 516732051, 549870694, 594824457, 614875987, 169513766, 893116355, 111610195, 35527011, 269816924, 823629871, 266317585, 707789153, 222394176, 1019808588, 817131571, 446183589, 151375443, 888938169, 382250043, 268488200, 693105329, 593019193, 493308924, 527379570, 371900060, 912469670, 884367687, 952523933, 922010899, 165864206, 944056403, 699717517, 392679998, 22866129, 271063706, 947643646, 1017712296, 51794061, 917858861, 716182342, 765529196, 475673784, 212980861, 51066434, 823238365, 700277830, 1002546877, 80020713, 183759439, 378980364, 120424432, 752234678, 331654418, 579614593, 867386137, 1018364833, 209227968, 140774108, 242398604, 473935074, 616547760, 260995020, 415363757, 733512959, 383962956, 709938460, 961489461, 776331124, 523087817, 573503875, 818886559, 208562156, 1017724324, 501543676, 471129959, 883901275, 845575856, 375694605, 923830277, 402468630, 536916796, 1013142111, 110427252, 336560884, 451407572, 915981824, 1004915887, 590944366, 204696884, 1069569841, 408993094, 368448528, 319915283, 531076555, 352705779, 834954821, 273322326, 814009962, 162520255, 692047230, 975436622, 369276227, 493880360, 434483217, 113511467, 250001020, 473091073, 12124110, 1004636216, 261469298, 251053433, 249196862, 232925881, 808903769, 936613305, 554817332, 422779572, 86117552, 604291917, 1037876977, 205930396, 539720833, 897381991, 645598618, 558868259, 12895094, 257372270, 510110291, 344569907, 474686075, 769644323, 212681755, 7029170, 850102884, 206784404, 779969487, 271224684, 530677319, 266437531, 1010191586, 96125566, 858529691, 895720147, 786222007, 954138968, 264106319, 779661018, 5073801, 652037860, 32601047, 868113013, 255042061, 849592119, 169179806, 163911013, 896440735, 588766943, 801313978, 1016482887, 772219819, 85360440, 458650597, 134462107, 127721860, 665407371, 508232692, 41279688, 892148342, 751286202, 319806922, 621256432, 401441937, 752146364, 411073338, 974031563, 72102765, 228205245, 772719448, 214550054, 542538744, 764786464, 873066656, 587200104, 520287868, 904235770, 962556953, 209854016, 271509067, 98935052, 738823612, 557459751, 254580632, 989685110, 79090811, 601492253, 516879676, 341438567, 896776209, 319255407, 508390680, 836269274, 1017918416, 311994546, 114196019, 65784328, 900801068, 928078319, 71681868, 879508127, 962312184, 511952463, 725563485, 611952742, 77884638, 31603624, 360184840, 1054568398, 36410932, 991002855, 757936247, 893648094, 1059919962, 700103100, 179305430, 454684554, 827497088, 989841869, 890521868, 423525908, 333057220, 635197018, 776470131, 721481204, 752792436, 889818976, 569215091, 66027977, 652471998, 170430292, 537066095, 672811457, 396083374, 877155636, 30203216, 158297975, 179752120, 393684006, 724496366, 739389850, 273297924, 333521555, 585024812, 979613144, 212617990, 407086138, 62775484, 891445392, 390340491, 65869383, 363054043, 407095376, 566976090, 299825919, 776711146, 332893945, 267234345, 451749780, 1067574916, 445650434, 166063511, 1034311704, 106370168, 161509816, 28874979, 264104385, 1038094167, 376879934, 566836156, 262282529, 938325201, 619991817, 329801467, 979823232, 84375679, 335833785, 492857769, 1009158984, 425239507, 807276635, 892220562, 870362153, 422214851, 223786028, 590692566, 380202314, 367748550, 344517089, 406788926, 42069683, 635070910, 926722796, 25132638, 543882112, 541190394, 401090729, 543896819, 583668099, 300222178, 944297294, 331809548, 92481993, 572848369, 177075327, 1062404018, 218051158, 751702699, 379394940, 478625840, 42042867, 144617481, 762913063, 852180563, 881524850, 691295446, 392644808, 577583313, 532342728, 716283062, 833507716, 858027566, 63957760, 623159664, 998970887, 825110109, 952975114, 821723558, 129905081, 506281555, 994434580, 916382273, 289763971, 585479282, 1047389287, 862582943, 903929065, 1068700635, 891114938, 379984062, 185018641, 275493909, 119417777, 415642639, 218985212, 394749062, 393542510, 324242890, 828986248, 906685737, 776806212, 842264149, 154466459, 983736763, 472639592, 411563660, 365279282, 472743709, 816046010, 737286733, 676465745, 381176525, 702108821, 1057323399, 185395690, 1573744, 195986400, 41905722, 485316652, 700281695, 231719261, 945290036, 855010662, 975920020, 651343820, 307289124, 733395326, 92891608, 11440855, 559795783, 530061722, 627984476, 734898622, 157500064, 91184903, 883897962, 533261069, 501770786, 759694332, 630329723, 77363011, 147470442, 658746575, 269402287, 97207951, 80988572, 489330214, 649592426, 974843903, 147692850, 658754789, 269068182, 556210398, 554847030, 286983384, 48424576, 310312799, 843546831, 70679561, 829545163, 136008454, 789649148, 573168218, 1030165929, 1022204374, 982128509, 713381975, 324254644, 47042362, 296376754, 33486177, 286817636, 940240571, 836595478, 369209554, 159058779, 181551822, 916999703, 655526494, 392583728, 952399732, 98074540, 781758625, 754187482, 633479386, 756903379, 937071733, 597703091, 171528076, 327304838, 596466161, 394130469, 166240481, 785159855, 568158621, 1043206453, 312742701, 762301640, 85431552, 456601775, 619047926, 474042031, 596001659, 431051933, 199542207, 393707436, 981901390, 834219522, 317987542, 655714224, 895854147, 772465375, 666708880, 123494912, 633682186, 298394264, 706477449, 509677540, 256375709, 798006495, 48097171, 921606152, 407588790, 631191508, 95086115, 577319080, 177101358, 242825043, 221756585, 126540935, 839816681, 922771090, 906548522, 264852573, 81248875, 207014120, 718120306, 541697963, 739121441, 860338016, 300798035, 524813994, 811445259, 134719034, 930356992, 259977856, 8259782, 882231039, 810597334, 965731335, 964806598, 505782199, 735316717, 193236514, 534618059, 443897802, 986122784, 513214312, 115408781, 887190676, 364086231, 835196569, 600805313, 965235874, 707163695, 697481356, 543625043, 671061247, 407392406, 931655995, 222622521, 614548409, 169846454, 912125263, 438624162, 385466549, 470893033, 225126156, 60157746, 681545181, 144427705, 294606958, 955849489, 301461074, 679771500, 920375164, 700635818, 39446686, 994951427, 917931069, 868789601, 161786223, 544404993, 1039415510, 1061527624, 496291816, 239877181, 302728901, 369813245, 191488593, 825309507, 133000965, 281571447, 380124540, 145018565, 1067325134, 71391333, 1073357254, 863670673, 40173, 275003412, 1056581665, 349360271, 13035710, 754920134, 333711988, 125743951, 162494038, 900477367, 7049569, 307752432, 91284432, 696604616, 698426843, 355364117, 553148253, 887600561, 205906268, 680325168, 620537299, 386673233, 995996373, 393013391, 802460714, 784447625, 957313161, 290424915, 70603592, 722932943, 605131689, 871963621, 898211018, 248456701, 888745250, 15031183, 632746791, 239795223, 665233340, 341689329, 899076595, 149906622, 922528163, 62722896, 174678788, 284067954, 870009278, 429626864, 782948261, 895572635, 1029535712, 575763000, 606999548, 662864081, 279501950, 886733009, 193738109, 796214391, 220552270, 331124523, 917616319, 252856350, 185184502, 1062998693, 845939919, 744238753, 430959864, 223938421, 458161883, 543153649, 349203745, 366789986, 2352865, 741506751, 163244904, 223061919, 569206379, 232064414, 962300245, 445852318, 839513915, 48762995, 918469093, 851369465, 1030433147, 594050276, 437627677, 873791778, 352095532, 389454645, 695252719, 554053833, 796330745, 21379451, 254129971, 548107550, 412984851, 389641665, 779344041, 1003970069, 139003293, 78675720, 979351239, 601741570, 832380815, 296757814, 468905367, 722125970, 701744739, 100175181, 627864709, 609438064, 162639249, 1065973202, 957422147, 299808078, 485144133, 691935785, 14351066, 150518686, 729382520, 370877574, 735273085, 653020650, 4544346, 114066040, 176376665, 378391106, 113145839, 439272512, 669619106, 663786332, 957554327, 944909891, 692634043, 878387882, 614372188, 366281983, 465984685, 148005116, 277618459, 946644405, 915825551, 886801405, 923720890, 640205074, 809904674, 991838490, 520881317, 64583020, 1023451020, 873810156, 600271553, 244369306, 51407886, 765575873, 330088454, 1008156888, 56570474, 768966065, 776544931, 241419580, 711847838, 542101161, 897045390, 221677853, 1071086871, 692601098, 905840865, 111992138, 164668115, 435534822, 304226265, 674932484, 355413418, 515016876, 602678875, 533588169, 264622684, 815506006, 264802901, 362787654, 764037734, 944976463, 881573842, 813589605, 102693532, 740790094, 670923901, 62610094, 157321141, 510687117, 559877414, 1044650025, 593143811, 619026431, 42713197, 935263555, 687432489, 398049338, 585770772, 18040109, 619248543, 1005639437, 632526743, 733026393, 661355832, 387726526, 260570820, 1050638493, 345352280, 835124999, 225316541, 568679944, 507787928, 987034119, 611827378, 158597062, 36499043, 120306112, 117650039, 1011378528, 933045294, 884253274, 514304323, 686466356, 691681375, 141339085, 378317906, 945385114, 892845480, 852591731, 926952521, 673969323, 301667681, 205167487, 1041007147, 672373389, 402191061, 434902588, 354681944, 582962961, 806794421, 753571900, 465364346, 936567006, 920470033, 614178674, 340271820, 673272171, 850764408, 97267422, 424330704, 160571547, 147677706, 766313285, 833772034, 432857426, 682608282, 583310523, 520992099, 48847464, 266147214, 851189647, 288444127, 686650671, 406234567, 1027640843, 238713523, 926713942, 876240143, 117999983, 536778114, 219177162, 704761222, 787498089, 634292262, 44788040, 698157381, 36426572, 620941864, 56826345, 554789618, 26016588, 876106077, 465776244, 1045765363, 279926898, 548228267, 47546067, 733787881, 1058784103, 330815579, 609863238, 391296311, 870601306, 919686265, 460936357, 895254067, 810078858, 349809462, 71650270, 737299361, 1015940037, 263585387, 546495593, 734210649, 1001272991, 580040450, 896384982, 988827834, 84883350, 50872836, 625581587, 160274079, 350061107, 894499874, 579718521, 671652002, 954029269, 8594261, 251161553, 35518928, 556666900, 564668588, 565033619, 688110615, 480624837, 84817651, 541313196, 256419978, 720997874, 861363468, 703480019, 629924759, 527836508, 230624691, 172672718, 1001468295, 173827272, 88622353, 572695636, 253758192, 447017403, 257667784, 799194841, 527933766, 1029056472, 746543565, 186552826, 751456025, 314762200, 925432231, 459264913, 109649682, 368143186, 861559701, 480517012, 58286201, 252982763, 108756824, 1057081168, 660785373, 506237871, 500501087, 1021880441, 854109539, 776986593, 458421817, 371603837, 151696047, 667361295, 395351330, 30795321, 488762169, 37916418, 993807892, 535702821, 38331232, 551054270, 827812148, 378128877, 1067835744, 318952084, 504517760, 273115951, 578894488, 858643017, 443943600, 557542305, 236082163, 845326083, 327958132, 415375944, 24097137, 3832964, 730355362, 822279263, 139008356, 903851906, 743429941, 137278524, 373119378, 127455597, 676710460, 115924851, 636466950, 190110607, 233350019, 1049918869, 712595147, 836868846, 953208986, 33213082, 793418887, 186582801, 539859798, 110243157, 43338451, 165302211, 214179190, 375441205, 309007650, 515722247, 1051191215, 612776187, 724860246, 131768380, 656266945, 49476906, 1066577568, 44264220, 428835992, 957703493, 679339573, 577506833, 353161888, 979404753, 1020987078, 734642469, 142648608, 656973356, 671744530, 264898597, 3526450, 408702481, 941538040, 663854737, 150987730, 176366549, 379578883, 75417833, 1049792206, 960079065, 219185036, 489223983, 452295802, 966028230, 374155140, 515941509, 126331543, 837398981, 765533918, 300248753, 425122644, 373455975, 709675675, 700001158, 745558152, 363901651, 937019805, 535429234, 754376400, 332888247, 835624588, 547367769, 751648751, 976518076, 830894900, 856291859, 692668366, 688298963, 744468241, 975051169, 811809434, 537611321, 274557366, 396171892, 17010737, 470637050, 127810656, 149477480, 976718602, 216353360, 851407984, 748838756, 259092151, 478971495, 768750372, 792773008, 202223430, 48028342, 1049187032, 30030772, 600093917, 968833754, 828961191, 451790503, 685593272, 578502464, 372634465, 612341909, 51160259, 775290930, 257924417, 290705978, 1056088503, 1041592657, 331702489, 971665599, 987998837, 799314250, 177809279, 926032498, 301331415, 333186638, 26801362, 1043032672, 294369886, 631466167, 791213463, 991388423, 412019084, 671091784, 819400906, 849218913, 833092920, 443316252, 468937744, 978218329, 519815040, 244272327, 107733029, 798912155, 538321342, 334969042, 132591211, 569773151, 673953036, 112376816, 681367770, 750498867, 10395198, 281053736, 644832507, 269385253, 516741892, 1016782423, 525298284, 240729078, 506841608, 917551359, 409056684, 471981570, 961162722, 473940045, 832293867, 720180432, 636962021, 39466379, 1054758798, 15473228, 782174540, 665196577, 595045057, 945469511, 902733942, 350079310, 415966364, 589284443, 732483445, 331235987, 589319815, 327239974, 874748206, 839693734, 664396862, 946768334, 115808709, 679779601, 133238207, 532163406, 580741755, 283350757, 457477942, 365050588, 239797445, 634052710, 222765367, 304391305, 480706759, 671372590, 587112784, 392095901, 870686021, 446008439, 403351953, 703787338, 369647092, 523258199, 485858071, 343635206, 1020203291, 771350207, 595824930, 994796273, 638010971, 149673524, 753098808, 263976761, 334282746, 980582061, 654486803, 603368965, 135001964, 310335964, 95711746, 581725994, 124473348, 621164104, 981622938, 481044855, 152179294, 606556005, 232670847, 369846807, 959464196, 339742715, 787956159, 873184562, 468209470, 747932435, 461340987, 342818157, 287762901, 177193922, 569766107, 1063625348, 278404374, 135250102, 789366697, 361172217, 643076191, 733429082, 1013501882, 734813019, 49108510, 540984804, 348545392, 553159729, 958350744, 144445265, 777155870, 994056210, 1040258544, 624616992, 273266491, 445472648, 36875324, 942237786, 171075867, 511675382, 411163312, 962916236, 647485853, 1040869583, 671100613, 473619814, 362792147, 42929445, 55194442, 1071039583, 1010877614, 102323163, 756349939, 93066650, 783036924, 507604289, 1042123912, 632867387, 885539493, 865968670, 993550688, 325817969, 600365729, 48486366, 466185718, 912421495, 103649855, 493286718, 491889247, 507211377, 644065153, 247789619, 373486156, 745283621, 1025575732, 341655569, 365153428, 561829711, 880997681, 41589422, 567090677, 471329542, 806404325, 846320613, 638006579, 828054707, 761453061, 422430426, 987887663, 336656985, 617035204, 186737042, 688896138, 794660421, 377132999, 589802031, 505735282, 396118846, 561834751, 618869247, 418074048, 528056895, 821198836, 889097711, 710932440, 931190006, 115969840, 747862825, 157487351, 131246898, 474975478, 169109763, 85509046, 433918535, 836127741, 537919150, 338692431, 667073087, 317310881, 15408721, 404063803, 850015929, 814948842, 721934432, 57951116, 661613031, 362145038, 718210792, 637787224, 606261580, 156320986, 930195767, 845461451, 572116716, 653711095, 478725932, 411443331, 175052496, 1019109464, 985143960, 194463121, 771973101, 728735097, 788549614, 730060199, 57967916, 459938160, 263796929, 613405322, 1003457793, 822255169, 341914062, 11481813, 411489811, 111368421, 273391297, 865281911, 564808380, 736992677, 687373761, 315831514, 110294073, 31900362, 219619258, 811400511, 887817050, 147906076, 47742588, 868676441, 167706724, 525614198, 641794497, 757573754, 98167744, 299156053, 865768686, 362149325, 594280654, 27673292, 306008554, 209194053, 883195972, 112331429, 1001942560, 350054769, 703314689, 341010076, 195966634, 838858699, 468809986, 28063384, 516880901, 4012167, 996118576, 928440369, 531262826, 17722136, 407615284, 361762628, 953139223, 858086304, 446006779, 634957818, 138660065, 540872641, 431143824, 1040763339, 744212506, 127596691, 262889501, 635260815, 738475129, 284194699, 849242744, 509363742, 685688914, 263488791, 785916240, 320063810, 108642219, 981122001, 432818205, 333529814, 1038442731, 249652842, 689743840, 812959047, 138365899, 675241638, 1005057781, 744238673, 829841698, 869074746, 552895001, 622153599, 698831769, 523346207, 442587682, 640268387, 418069245, 868730725, 160909357, 876857954, 640623414, 58467627, 208815893, 1071209792, 912698284, 637170595, 268234034, 527012287, 386826637, 1015169275, 717893112, 453481541, 980747845, 875980164, 273902676, 802613892, 428347237, 121022342, 255802536, 714899176, 303750545, 607592468, 1018190607, 591975763, 144365815, 556562392, 497386208, 666198376, 1072619817, 570117902, 811062502, 369993069, 930021690, 331799625, 748860473, 315206805, 1055793132, 342886769, 873991751, 207996610, 726859483, 971311266, 433889339, 211555923, 259965588, 408515003, 252505136, 662196824, 815789796, 625450238, 816570014, 250747662, 545176915, 775347766, 241576393, 107850220, 521085944, 1043698116, 887980417, 680957804, 75790765, 476828887, 982342969, 926403565, 345855587, 192336007, 635327136, 870282559, 976810327, 374332110, 877221247, 914918937, 765052582, 907037845, 743342751, 901347105, 885306052, 501494216, 745719996, 701116493, 514408761, 769775792, 556626176, 279555017, 539841107, 329799479, 261022062, 774599731, 505632920, 880728488, 600501384, 803138777, 853375326, 841115819, 394062154, 847762620, 1021244349, 676135594, 499323636, 150443508, 304265211, 234937294, 508763564, 368811086, 1047228032, 995670542, 584021836, 774111154, 675578287, 607344059, 263094258, 332179785, 284986086, 492245040, 418142709, 229654266, 949024408, 113599007, 214637805, 1003891532, 85239181, 897873171, 29755835, 598939753, 94810775, 96307116, 675301057, 373323104, 325197481, 742157235, 148723518, 200071092, 422070340, 334223622, 498740291, 125461899, 877881108, 622425274, 398444644, 893797, 740105962, 865645175, 719924848, 127548662, 661377464, 510973664, 217628225, 372404279, 698333161, 416907535, 1068933825, 156947934, 439137542, 735378821, 823888846, 188218380, 677855809, 131117198, 668419226, 67826828, 164584432, 1043712079, 520043352, 342596292, 986584113, 350338996, 371799880, 389993962, 767720084, 495916815, 399557768, 616879938, 597598790, 1023379328, 947078994, 344415890, 759461089, 1001309402, 631789158, 562086647, 730896818, 554513776, 178494723, 28151045, 158808123, 161274323, 607308266, 399088694, 1061242894, 845251608, 300524380, 46860493, 177263933, 873782908, 604561802, 551323484, 391241062, 980414571, 68341012, 117868329, 935071955, 603028800, 790375456, 617505040, 314742445, 914367677, 79427916, 214815766, 985073763, 270586140, 1001402002, 1032445869, 145801446, 577181765, 80969308, 430705220, 151621713, 165825296, 63395891, 73873002, 183987661, 974762242, 958546326, 318996458, 213122214, 1057488069, 395730197, 1048808912, 455730907, 565734529, 119280015, 915359088, 88650628, 2699961, 357376985, 826858834, 226287386, 495814411, 265449129, 787076840, 300200654, 378872217, 530140314, 801594868, 435195744, 942050866, 1055685541, 359772298, 510707514, 561136636, 725166343, 206271302, 11999301, 251736441, 527670284, 505981271, 665692468, 1082442, 336819623, 74518522, 677216897, 463286828, 761367091, 1052113771, 553756522, 393574319, 500879919, 849619917, 576329430, 801759889, 877396241, 522121807, 187332085, 898755445, 208290671, 158269958, 933681106, 255523952, 773872046, 741719409, 727146108, 987063567, 916003133, 681064851, 760612935, 258503630, 140939077, 852527249, 1030300727, 457623994, 674470788, 626378087, 199320298, 161520249, 501407262, 720209822, 209179983, 42073185, 739390915, 543445879, 979462424, 622995217, 621252068, 406707767, 11869513, 802570080, 648383497, 151270918, 121227813, 577885033, 104013482, 986167089, 637054403, 344814620, 327567551, 59876492, 66235999, 341782286, 709455601, 1003208846, 896709713, 23891090, 811514538, 684986123, 151419688, 286236840, 612891462, 288869016, 94065842, 62534770, 112271471, 1067850167, 167461053, 815062654, 278628394, 198869106, 630911386, 582322714, 302403835, 212017847, 831136903, 790729052, 458086330, 456605035, 56019546, 719703289, 179982537, 368878439, 458028947, 900249650, 816083152, 686272953, 1024224434, 126541269, 743534299, 946019160, 170847625, 686680652, 868469655, 785290594, 346292233, 553066176, 100203572, 473091412, 820604919, 522913483, 587356445, 322635644, 196320142, 58662420, 159654622, 916893881, 379321704, 240711038, 101172917, 953224038, 679162237, 997106082, 214614576, 197052478, 838551523, 223381304, 203160948, 72099664, 61972946, 422241621, 405924008, 304866088, 856842035, 719211048, 715718741, 200929245, 922668489, 961185973, 937544065, 45524506, 210621365, 199690700, 754100501, 87158226, 976984282, 580919258, 336354815, 327525219, 266235990, 681547720, 827593814, 609728908, 936601315, 297956857, 533825060, 1042199763, 57218537, 274192976, 503430053, 286391323, 335338263, 530484414, 552988650, 780513600, 1036206449, 710855816, 199093191, 932609288, 97550226, 846367963, 746879474, 735666801, 327011250, 31591919, 362581759, 975165829, 549082066, 1057043855, 535838193, 364821517, 146250361, 14128073, 605486983, 665860191, 160777513, 607625628, 286656587, 803424783, 968080307, 823933813, 924276623, 784318872, 777416123, 939296697, 638392987, 941425380, 579998634, 631608783, 1039636913, 798455196, 34513947, 388099555, 200550921, 594535201, 370605752, 458095472, 733977931, 348748238, 975883091, 795696249, 834762641, 694086297, 183761008, 737722271, 706575402, 90398169, 341328735, 85912306, 50989323, 626979246, 311902093, 803226660, 266722957, 137172387, 73344154, 869391809, 71431796, 933100191, 388602407, 109561496, 490469978, 1009496675, 929012577, 926066374, 1051173712, 59407967, 132416467, 861504829, 1051040801, 492850450, 912037483, 580571887, 1043081745, 1006398848, 754386163, 877921817, 179979160, 679993011, 569275160, 110872558, 885927000, 195611395, 740254371, 348261202, 476008109, 217098918, 927735908, 785280213, 595437364, 861821557, 421967928, 831406683, 305917337, 22478823, 313071757, 149202552, 956820398, 1030769416, 518755204, 479490469, 579167347, 854886182, 249591800, 184970046, 601651583, 230581357, 769558147, 477977747, 310357700, 393347309, 193649741, 534494635, 84130997, 780281769, 39737968, 956732998, 604403612, 112221709, 382418287, 764767931, 612153337, 535451021, 591628570, 343261663, 400162664, 526830576, 190242017, 499973847, 757266728, 208722445, 582307060, 697080504, 70470497, 1045461034, 528898709, 484519276, 1029857712, 1066142500, 702773327, 89045585, 521805293, 886912906, 573283633, 108007661, 802758479, 386145720, 538432717, 119864555, 1015272015, 148998947, 575000443, 254855849, 76751692, 127088187, 164689294, 766566750, 209275604, 382467358, 945266330, 260389528, 599696340, 623753622, 294100966, 835646698, 97570453, 734670031, 659019348, 741019040, 250049223, 584789118, 423926141, 525286434, 191780386, 445557428, 540119060, 599515969, 784453246, 29943338, 919248406, 192876655, 755017849, 370509487, 263294019, 220134639, 251553342, 967479703, 64383507, 85085987, 59641059, 882208224, 757838054, 941005705, 616722513, 1043492865, 331659430, 464669887, 878440540, 196249303, 917191702, 556544823, 732995620, 446546491, 640662472, 901172639, 566545110, 174716615, 408195268, 181813668, 451001987, 913151062, 347636839, 128325442, 236208253, 47545126, 1070063985, 220283309, 105687621, 777083196, 680492877, 580318938, 890080258, 690265309, 920207674, 235032331, 647668328, 71157398, 409798682, 964597918, 511616166, 392247888, 356334511, 1017399996, 128995833, 606615707, 811608795, 592165031, 369357659, 353083210, 567650101, 123412649, 889609620, 547802612, 511953374, 613664120, 1018147398, 425527616, 206773296, 277420575, 878316912, 18456225, 646447092, 768843568, 399198115, 67764529, 809890662, 375675212, 1062841967, 668155145, 912568661, 70868746, 294693504, 753164791, 423351200, 35454661, 521794040, 641341388, 941234566, 720006492, 235126017, 94216195, 283257228, 613692842, 316476649, 341071927, 502161300, 969420077, 73250160, 566179831, 791309173, 772161144, 856602484, 618695893, 587436313, 829393443, 225668055, 238538951, 751944945, 344451981, 308071193, 503331099, 692834742, 595254363, 660681422, 18196433, 983423486, 732233739, 612068237, 436877325, 503503717, 702843052, 481007982, 185710748, 1064465824, 1015795179, 866883903, 1007915169, 986306266, 307660827, 28890790, 410592344, 249095124, 963791507, 332691711, 944615033, 239022983, 801040061, 25342080, 1027676196, 296245436, 826409290, 908218484, 1032773469, 1055279816, 286733556, 562035827, 103143371, 667929650, 751201928, 361735350, 957463273, 817068506, 51982291, 119634864, 901441618, 787158917, 775230027, 610889764, 853495648, 937604085, 751347158, 673436953, 971659593, 728814419, 801907419, 68859929, 988639657, 1041047861, 407570120, 699015343, 389538920, 203921906, 581836249, 891881956, 416073690, 475148315, 847419466, 1028687179, 968347229, 702017315, 182057491, 657833368, 975048273, 480122380, 918740634, 793052385, 197161645, 978839443, 943302961, 100586731, 569029776, 282532473, 231147865, 324369178, 598362873, 1040102255, 691617844, 246569451, 784874738, 813504799, 425095482, 714656284, 618577600, 774264725, 275580220, 450158094, 706379937, 438118896, 502535084, 3224904, 1070494218, 199583373, 453936150, 173219666, 620417594, 120963481, 958255496, 767910176, 642208712, 12076479, 60480681, 407540675, 184430818, 404276981, 1021408402, 204949336, 5319744, 563996698, 797971872, 360265344, 948176985, 362032777, 1056377039, 1043584442, 118490624, 662690575, 1038991722, 502366185, 896726421, 1032303151, 94246092, 119718371, 14750140, 884207003, 956878826, 1029984034, 1057175410, 739133722, 685249422, 242322863, 740045266, 1000759591, 810558218, 606740697, 652772721, 833897892, 451792181, 701945797, 863694150, 896546207, 357470596, 428531138, 205514843, 550974446, 223805075, 55436863, 977581413, 920143902, 250518884, 783126087, 625047482, 151953146, 356989029, 550105126, 761217827, 514846403, 708253386, 364958449, 665281764, 105836205, 828649685, 102411361, 581248997, 135818875, 164230892, 960559259, 74501972, 670241638, 667132954, 983684163, 624789289, 523626163, 808064983, 29177328, 1848976, 37003714, 9607090, 65918036, 320999015, 454333362, 796972468, 781991237, 878384900, 487350730, 497785622, 1055216327, 913166547, 164360665, 513270191, 786385539, 981897206, 810133825, 713658718, 543624938, 447202568, 441841074, 655496153, 669377394, 306527300, 808883051, 368529801, 566339455, 742508676, 743788005, 679108638, 58325163, 886067958, 108302225, 275873050, 154348446, 408110528, 785836697, 138745034, 780149414, 724278888, 330236575, 389465426, 491774405, 394590036, 162275036, 586842811, 984914605, 288261640, 819523491, 975916053, 558524752, 1008670049, 901687414, 37054330, 915240849, 499905618, 435089435, 610904740, 258020816, 620223372, 473678487, 902082142, 461075067, 732058595, 647686672, 739873388, 1072011386, 585562216, 391544429, 3355297, 412625544, 495523680, 888945180, 610103288, 884738446, 872972670, 687449263, 248313233, 17412949, 29328515, 160261248, 118569747, 964735286, 1033057041, 1007809697, 753658374, 1043973078, 44871436, 523803653, 107795139, 540853697, 362346019, 1028118855, 513153351, 43591695, 949409017, 201937976, 1006851247, 422910329, 869854784, 448248958, 584075891, 343573262, 687372769, 514966164, 1044094024, 168044571, 774258334, 582668002, 57766474, 550125348, 967974364, 1000693798, 971047447, 688342996, 291072213, 162664671, 624700082, 36794177, 142359913, 125586819, 612520718, 48458415, 329373081, 557125988, 1040568497, 135069220, 341927713, 935719069, 789540488, 30398231, 481803848, 901129721, 338182042, 651198893, 270329526, 904727347, 136625160, 1027032972, 33690965, 858662722, 244699823, 593265581, 489412997, 644726204, 1006684219, 363554121, 81145298, 840112735, 609611846, 102230846, 411488866, 1012171154, 1027367906, 803054323, 642995525, 955563893, 1014573163, 1013477260, 1001318698, 360259413, 375787863, 60467559, 841076460, 190197778, 196211522, 520162633, 539001561, 788657304, 850247708, 401244208, 915216155, 607941363, 535070353, 78334559, 531947919, 1057090014, 823450237, 347148821, 226186491, 1049926454, 143894767, 1055345756, 226433969, 921091614, 678478887, 929604265, 374863927, 381377847, 240576500, 506742868, 810304346, 203847288, 897463709, 579768717, 409855550, 362009338, 767663985, 902482988, 551881612, 562170562, 271366032, 963204741, 404679192, 218233493, 46486192, 582932072, 702846436, 105037200, 776838000, 723621880, 240780075, 230702949, 474439684, 690100651, 1003747971, 665272780, 668405168, 511657280, 450190578, 849270838, 457568923, 882177612, 754834470, 226830998, 901786784, 451557849, 201587668, 461726722, 73354975, 650954865, 84564520, 475838787, 314939667, 414115206, 4510271, 954640214, 466746986, 902038054, 872281470, 586296925, 37632960, 363672038, 1051935749, 110960937, 292719081, 668990539, 791233670, 821612154, 885640703, 23057005, 661223048, 487371235, 738260136, 589744051, 639125581, 564627470, 146233452, 832171689, 1017951213, 1027367476, 1001726393, 637428986, 428446266, 888358914, 413594387, 37489729, 545470624, 1032246840, 956558678, 196313325, 873765454, 103761552, 701188831, 377559044, 893497034, 869572398, 437559872, 66789598, 830317477, 700282614, 971894930, 827913420, 558310455, 726649784, 328467555, 755421360, 624465727, 71518436, 870941996, 787866036, 198144755, 615989681, 817944204, 628646670, 756060000, 45082937, 524215496, 392367960, 97274386, 454265338, 617116918, 145056763, 533371763, 544626070, 1049738718, 351621145, 605136329, 338573584, 954854947, 618115460, 415639508, 319752629, 570691548, 886947031, 236449289, 719331429, 757477813, 567058522, 311880619, 118764392, 812667108, 486221831, 253278242, 308507301, 951898801, 483706745, 383900831, 146864185, 748278321, 187059392, 105401970, 637472153, 789584968, 126329027, 132732978, 479419847, 931941533, 569535825, 1012363625, 129510253, 461368638, 1023536308, 754889360, 559626203, 158853793, 354386388, 907685267, 274593104, 418958720, 975856453, 968580847, 1051302568, 903277371, 27542894, 980516894, 62415501, 368763513, 256753901, 1040554673, 480325167, 597013118, 143602655, 366216787, 1020617428, 554624622, 293129785, 957337869, 340652155, 836436768, 733021448, 278384278, 43250090, 1053748531, 533191285, 814835563, 851323390, 818654172, 994165428, 628680373, 1029474685, 385127615, 511162098, 450101662, 395379548, 973916362, 707448525, 586549534, 361512653, 371529215, 363657675, 363689899, 627754394, 976032871, 266368591, 305816941, 422649251, 337612999, 1070936720, 155011406, 957424579, 857178513, 60408046, 575817129, 749234437, 174584896, 152834517, 449941645, 84073511, 856252315, 551329185, 299343191, 1052123270, 623825988, 717238258, 950061342, 303279845, 1005493449, 63240080, 701227613, 880114406, 848411415, 272813836, 421118031, 769205816, 270052044, 477852025, 118329170, 788359213, 451460415, 142019865, 969818135, 503304141, 772111502, 511533348, 281399186, 129376959, 22853717, 170483311, 94463280, 21936612, 1053847178, 1021738021, 600124945, 1042260680, 675493702, 545271971, 191160854, 462211969, 211352946, 29660671, 161637565, 326699531, 1005829092, 1061886891, 76891912, 913190341, 845776511, 999439256, 815778687, 729459955, 335788765, 550272016, 175139924, 163662741, 1460708, 552546746, 340929061, 163066435, 129936645, 884079577, 1000280423, 432073763, 665733238, 524354394, 614393152, 829515356, 320525929, 230777562, 438207167, 578997835, 351055315, 714758779, 1066653311, 1008139755, 66642511, 462802678, 910943963, 953255796, 73402054, 528249409, 409528548, 609006603, 874903933, 615156716, 336619401, 584520978, 632745783, 115972972, 648487385, 631546313, 1036074136, 886333700, 809398276, 971792281, 1059306855, 976223341, 307344168, 321947140, 627778250, 169476383, 216540189, 193172563, 240545742, 343719431, 822718766, 681682175, 12780651, 660559199, 7314482, 41941235, 666268295, 241041669, 746741303, 78518487, 376840071, 460932298, 829930111, 758185486, 1063077103, 605343935, 1047336174, 65920060, 234910835, 24908807, 996786248, 724028660, 681730437, 730325259, 25169318, 739403911, 506246670, 431210450, 170895987, 305599667, 401111534, 536282700, 718186061, 297734945, 120291125, 1023277486, 585134699, 864818138, 489731005, 931354131, 889735755, 323128781, 798413675, 62338515, 201810518, 108027327, 533499784, 722588017, 559333224, 277737833, 681056867, 12586097, 185499048, 248463956, 526539328, 418506749, 107649480, 465185506, 1055915590, 712009987, 1003757, 389125092, 777123019, 17291304, 59312678, 311054544, 1022379514, 851216733, 758048823, 388467194, 94403786, 1056533981, 384009479, 455113503, 837506855, 779381266, 288333577, 120385953, 456770634, 760679755, 858528345, 719932788, 161849860, 510050749, 481406185, 603907836, 700928192, 300742976, 484870374, 617879533, 890107348, 822794672, 176271985, 322498950, 957450428, 604975880, 304110688, 934259081, 823105362, 894650271, 982050152, 452632689, 197874147, 429185985, 878385177, 296217832, 349949919, 111020765, 640286282, 474343609, 105609165, 664184351, 805419923, 751340394, 62069747, 758286542, 730246872, 906203516, 508164479, 765870145, 70502781, 274827771, 363567606, 70215510, 618167576, 425538454, 59583679, 1066009002, 429643441, 570414362, 764914828, 516338379, 745183209, 949201220, 36131314, 187156442, 1019245375, 679515221, 993222991, 335456565, 291246350, 158979156, 338905592, 506890631, 558596455, 284466758, 110045091, 304250021, 665332095, 222870801, 770809879, 456919326, 1025457126, 122161956, 245222593, 349301746, 84612993, 811139032, 1020834630, 384238037, 266712100, 48659193, 425386432, 474725636, 137871163, 402075921, 18129263, 3318543, 1017584238, 908285660, 614868097, 483916165, 479782221, 98035505, 291059140, 221500927, 548044003, 400821235, 195151032, 785333249, 937365789, 537758616, 630484815, 191071228, 85768425, 936438883, 47698496, 1031033632, 875835930, 388707790, 666533082, 338113183, 216896058, 418891039, 246487847, 158282859, 615581335, 571686399, 549962455, 481695098, 812409782, 851152909, 236443436, 418166683, 694428189, 504004399, 796209017, 152106460, 420260056, 788596065, 135972825, 1002302811, 686760077, 907166519, 906720797, 1050332364, 964754457, 342333864, 411735095, 644814708, 945494068, 1034651214, 272188365, 800522606, 1040310559, 867544289, 230516226, 801604076, 899034576, 479799461, 629179396, 184570529, 1022152232, 330049943, 982512610, 849724585, 965968451, 743591515, 916177829, 1033935150, 632885733, 166319924, 989745032, 359798127, 831541181, 871983730, 202100674, 953448303, 667076303, 909576761, 532785099, 682736728, 636124049, 933056562, 366102947, 519638196, 461079527, 512470350, 1054293849, 556172744, 394642593, 1062922435, 113960909, 21343680, 1041541655, 122188340, 357060018, 748322372, 844864076, 215941033, 351005414, 858081217, 403907521, 597629066, 605936392, 75260465, 835224324, 411344959, 929541025, 835667244, 977898611, 503224088, 89483882, 741064945, 55612765, 165033958, 878851305, 102602176, 811755330, 949883304, 913532187, 694125705, 583464955, 898690373, 1036164778, 1020211273, 314132641, 708336404, 236967345, 130844120, 255390582, 490373964, 702710621, 342364256, 478020613, 593099612, 514857956, 48688159, 865023931, 270549975, 792285529, 27708792, 754424217, 17271314, 753273559, 1018691204, 61537406, 951823678, 717902538, 373810132, 471575213, 137286313, 407100445, 118036842, 943397917, 541987657, 344577764, 224347146, 701090549, 195448326, 1029505248, 24953307, 188716394, 575595696, 776003995, 787387246, 399207012, 124637361, 116906166, 142780584, 465828435, 709385297, 287617627, 269920079, 862791153, 412100056, 215670521, 860663360, 520365655, 181425923, 746259458, 910363543, 213068242, 812056846, 405459479, 629925535, 275091707, 42991553, 922109325, 476620556, 279824101, 1035178262, 62385468, 313717098, 1042125831, 443545086, 245222445, 262300963, 982536958, 337862829, 496925561, 889859022, 176608305, 979647889, 369481904, 95258423, 127867808, 205220699, 1069185020, 314755967, 764988432, 53373366, 1071405657, 737875692, 801163496, 93259227, 488831059, 1053992216, 940842931, 729641625, 697574713, 527647852, 372615220, 969298140, 228221222, 275598476, 930753139, 951383172, 44455222, 510106814, 979454505, 494223576, 775047649, 743730959, 191685602, 212614795, 147480161, 525384507, 225530933, 651877378, 460647111, 823492620, 369685301, 940951887, 412385337, 652111054, 1009813605, 99945785, 749911237, 99283869, 744098639, 1070939998, 48749271, 630205457, 545193651, 973741694, 275510230, 55126041, 398864861, 648033539, 954132500, 548793269, 420867952, 457431946, 503209471, 709081573, 111744938, 918636028, 1054397689, 888741624, 729391615, 613628976, 624878651, 875749051, 222972789, 996711690, 93628560, 88458582, 335842142, 787592516, 784889066, 292932742, 261927785, 186243216, 534724305, 512334267, 562858340, 946301526, 940846703, 241103891, 650518312, 877961135, 224625219, 612875448, 174125413, 526362888, 697727657, 55643541, 844489642, 721899724, 609523888, 839770505, 791215540, 896840614, 362773923, 538778989, 769422496, 895789700, 398949249, 555091305, 90521730, 915940879, 1011547858, 524655009, 685282192, 937398782, 258432180, 334017669, 746390830, 90243940, 124831425, 1050252999, 379132453, 335862110, 435337167, 778466534, 252663207, 666471464, 152523638, 6670242, 425652688, 570262433, 8146781, 619326965, 140152460, 754430157, 86976110, 508030379, 844057200, 251698114, 1009061806, 21613647, 318683701, 288054336, 326710324, 845306869, 54178989, 529787416, 69824236, 54006892, 835794365, 401949503, 448382308, 243736724, 180458829, 931814272, 200316922, 418663891, 4921559, 459983124, 316842120, 830081666, 2809082, 560408336, 89950160, 402852114, 969260030, 472804798, 45662505, 820035937, 1071260070, 947202150, 601064457, 42058721, 80803528, 77234894, 794953445, 611380329, 779797278, 775262354, 889084964, 1031566670, 221301994, 541111224, 29623988, 931839719, 764793215, 97577868, 64403584, 806655111, 425965932, 217386256, 773869192, 926274297, 298765359, 393204202, 351493125, 590435004, 185415734, 367876180, 717429818, 147185038, 412579956, 529425284, 334079431, 752622643, 961644366, 715220556, 205890607, 24217156, 301222625, 173692770, 928647492, 206885801, 994239782, 941674688, 884764419, 1050544033, 203880859, 601690474, 749726346, 723691262, 91147467, 298584217, 310745858, 604121773, 816882638, 335616336, 960349662, 1029856493, 7149553, 355312369, 668912799, 765494790, 367083749, 721468466, 838283450, 921631861, 930556475, 611943158, 162611763, 232595226, 630161585, 225918632, 848754936, 895658072, 662022992, 598209747, 580073670, 49832937, 846564752, 1031681233, 617585973, 712548091, 603209236, 382350990, 593291965, 722590384, 403384666, 217687753, 346733375, 732635850, 894501834, 1060333193, 788871496, 920762999, 287119355, 403073131, 637311592, 237493146, 251999378, 542277195, 154603060, 376488791, 631717352, 971136309, 1046854821, 508994565, 866293414, 677256523, 673822438, 118746288, 168825536, 519346924, 22139147, 985039791, 689657964, 500544, 563125581, 444022501, 370277241, 700268591, 227871852, 444276513, 65078336, 552715939, 463724433, 19158046, 910679555, 896897695, 709523947, 681327921, 340092272, 600925512, 799725288, 183871220, 1024134760, 502384905, 782343591, 121640838, 860018778, 629878042, 165055622, 715542602, 268326140, 547189225, 663326476, 208414531, 145744911, 459005442, 384467299, 45216927, 753149539, 815987334, 815599833, 417994243, 1059989008, 795509722, 961149961, 702700843, 409075219, 325128205, 667105875, 791238668, 743392754, 887585196, 1066860110, 134036021, 104730747, 618867300, 112967331, 924016452, 496765691, 618926027, 376869416, 427802081, 552209866, 872457311, 351513173, 229437384, 352869070, 540525555, 676551301, 898444059, 392413327, 1039049944, 73240456, 80275808, 698203171, 440380873, 867708542, 708358969, 291402221, 818940657, 866513897, 36054895, 448792739, 99898521, 728230332, 406028092, 715127315, 154409013, 568354419, 105492068, 315101593, 48618893, 66660174, 109814873, 120632449, 483064074, 72418892, 752318051, 1044290299, 233621069, 716358084, 664073408, 894395865, 877038964, 49401484, 747611122, 71794762, 631875037, 679296157, 794157763, 701424995, 531898568, 25724011, 516485940, 997823569, 731059419, 93298065, 1044009855, 702242726, 654883923, 40592560, 361625316, 22149019, 552159230, 984085801, 737544573, 815755115, 409676437, 1041531879, 729602840, 379366346, 637048492, 683524103, 212783525, 719805111, 987524633, 191304515, 1012214211, 454654583, 23984277, 310444447, 550340364, 223390665, 831245485, 671324887, 629755633, 1008259796, 392883545, 706076994, 59790764, 638779010, 294544208, 207551520, 413644743, 256890885, 158079106, 944431651, 209234033, 912957118, 1054436722, 20307437, 624203831, 682253767, 401751784, 276652474, 414153708, 944039493, 791893889, 180364104, 1006984878, 587674067, 45093843, 685165983, 758458652, 845751721, 637595923, 674142712, 416555883, 540294271, 398654044, 726606929, 884013143, 771547257, 15325466, 1060405174, 240779198, 211862423, 58624953, 705725631, 418770027, 197090724, 831417721, 812864067, 666190101, 175789770, 685227348, 675026234, 498199979, 283924900, 335947261, 210815888, 261705302, 399372851, 363891081, 774714256, 360957661, 1003498284, 758721696, 296912902, 33005779, 422297634, 676016553, 1046019312, 1053145868, 410276058, 71366403, 277322136, 939406258, 459382608, 434606417, 678888295, 732917600, 915876733, 837258080, 789188790, 501768145, 537024873, 51599402, 216570100, 1051405853, 442426254, 533279151, 803865002, 850722658, 914705838, 447447853, 898876582, 98631126, 524704749, 431530545, 114089552, 88500144, 74149340, 65493104, 1002939049, 884215403, 406852524, 617578454, 704911730, 136326171, 687990064, 1030362506, 866206453, 795828021, 831974954, 841498214, 514987782, 582854643, 86951144, 322591775, 799444618, 492270363, 775876037, 841471917, 201569929, 154058421, 102465832, 999937556, 450994075, 162602724, 277504083, 344886114, 1018071297, 343384624, 809806949, 979251748, 153605766, 969291694, 823272957, 857731295, 276408591, 774211964, 338824135, 1058076858, 85095244, 812012595, 981478076, 589710297, 287681653, 267939488, 897406402, 352789879, 947270980, 1007244786, 29319314, 729986734, 305623852, 250587759, 858046296, 526483967, 607647989, 344214925, 56153353, 70529664, 832008928, 852228564, 734522036, 970841587, 277762399, 983306966, 948142183, 966814028, 60735475, 815698558, 891976378, 869327859, 406487554, 1046946071, 599834421, 649951947, 201188987, 529823290, 392246979, 763530202, 142283470, 27271990, 980053056, 906253289, 361084084, 696618997, 844616350, 981530919, 853888320, 340802848, 102722589, 1044496580, 11221602, 1031476536, 1001098400, 331877084, 88467500, 343417356, 188339633, 586719864, 476017212, 1029150820, 852653723, 387316994, 875000938, 962785529, 425979798, 2432503, 403200301, 1013658934, 573016435, 428113378, 87135129, 410460169, 64443257, 756122805, 558133836, 1048036375, 513966722, 716658126, 154213984, 866445617, 881896359, 601484225, 220870346, 190211357, 85606016, 589346148, 313889251, 4517309, 700486862, 592535170, 698994131, 705610325, 477215418, 331470243, 602214721, 428137080, 543398410, 130539706, 227995824, 1024654476, 958370547, 730657236, 291606870, 226574697, 961616902, 277251909, 1013474306, 528906945, 490091916, 925591502, 677061246, 26909074, 833356138, 665588231, 513578613, 1046046366, 214231815, 600477322, 898646113, 1000807300, 935911396, 3812673, 448103375, 979146195, 705109269, 712313903, 513710183, 445622819, 519139772, 816314717, 35644086, 1070729990, 431607522, 496067702, 532390701, 212145, 837763672, 761738951, 595885961, 928193036, 582114502, 116877094, 663434492, 816552690, 926402435, 180341867, 846169414, 84527519, 217831775, 668440768, 67618476, 410550481, 601701797, 935558474, 779699829, 136611165, 980965182, 1063067207, 1058074079, 508343536, 933831326, 287927264, 74567400, 627768628, 1009323388, 468200967, 1071467542, 651055464, 624338261, 40981907, 695966729, 392197815, 136013503, 304892705, 902931477, 164216794, 633770572, 658676016, 269730486, 89885513, 932835318, 665842172, 424195511, 605001211, 141253816, 594194117, 742454606, 994983918, 96492790, 1008041060, 934260643, 372260076, 930401962, 754108151, 279602511, 347991357, 406706208, 281023407, 741869045, 42976285, 905860295, 605185838, 633833662, 184599155, 494378478, 582432928, 414036465, 705708095, 656810734, 56032623, 664222805, 697613316, 720197598, 700006419, 10603681, 918224984, 585190283, 355777622, 602265865, 778765133, 883496518, 31765825, 45893710, 757659684, 201208817, 110435222, 196984312, 869849218, 63740248, 103395795, 1024257815, 832376564, 6171872, 352423675, 741842557, 414912266, 802695551, 101248173, 552737380, 702644746, 737549395, 705925172, 45814293, 974938629, 609944037, 251455384, 61031496, 590266579, 784802966, 594700565, 1007751943, 75968944, 894417722, 130798746, 526816803, 975388998, 1040161499, 362372030, 539122111, 893891414, 680094247, 739145815, 238045222, 1050433649, 852189543, 603337503, 514236679, 541870947, 143009783, 651264359, 827171020, 329469211, 583954316, 6443274, 127413327, 557676956, 897781261, 548856478, 1007239950, 796559852, 1051578359, 425071214, 285693701, 899382975, 661098178, 896686603, 627656388, 484588631, 848918451, 116193943, 129416903, 132187477, 690274988, 821965099, 618726026, 115956795, 498060889, 928750083, 727279876, 559425749, 721201525, 381917562, 853475740, 992906917, 1029388609, 339619838, 95453587, 614634017, 76960811, 675387102, 58143550, 71693325, 347985634, 220967185, 45827549, 128274753, 901888279, 206105106, 511004555, 64231897, 659762658, 391878186, 698374236, 934389505, 781000219, 753329015, 49896402, 739273817, 179942412, 38148056, 431788440, 135408503, 1065899473, 457260359, 313473990, 114386692, 758427972, 70747666, 1006887264, 235421731, 304679786, 425196758, 208092196, 255123392, 704689461, 1015384951, 1000857669, 668754819, 255687254, 414236372, 713989588, 218563137, 702991045, 88035428, 684637799, 320838325, 197071561, 618530955, 661259711, 440607501, 565712084, 729003692, 1003525404, 867637072, 587175731, 387662831, 952382745, 414749533, 255454119, 650679095, 937575382, 641866288, 133485736, 1034440954, 781883453, 230952643, 5479886, 249737775, 652479515, 597481071, 1047161723, 979325423, 591136821, 500150908, 902988861, 620273830, 228606105, 31846645, 985394966, 44167577, 702336132, 977503498, 70434626, 178576804, 741303120, 143850574, 738047638, 985121560, 208968405, 711977915, 159412912, 831111503, 935491921, 861473346, 359563084, 651200745, 975930169, 801599807, 409658083, 411183816, 767546764, 995537339, 268347321, 474114998, 369198725, 395688142, 307611373, 535821821, 919857642, 690549974, 269885682, 786913971, 63986993, 472698466, 1016484122, 213901415, 660050457, 310203384, 797819680, 912527707, 495395545, 554254867, 538344460, 276776890, 423144781, 1070403688, 871340786, 348048336, 543872452, 858577211, 33465596, 837396032, 465479345, 778683581, 365847889, 802800896, 726234185, 838234696, 255152193, 595328148, 406103663, 894561042, 367544944, 469731455, 51077998, 425131634, 389019416, 880003619, 520812617, 455492360, 96411772, 556829726, 858063157, 165902401, 305635404, 435380417, 234013697, 524714784, 263953417, 781584854, 1022419240, 635055573, 956720674, 600224599, 826437734, 254930709, 12131684, 77175900, 437423205, 256667866, 180667146, 407557561, 465530517, 122940274, 449415571, 180602299, 588220274, 600029890, 720083291, 203805124, 524285262, 874024586, 1065702537, 30328823, 487889861, 631480023, 79248758, 617669004, 568891242, 378732519, 109666831, 156979551, 350876094, 495106478, 176027752, 1012431778, 76412698, 273250755, 267447488, 644072919, 799736090, 171636410, 828835668, 671789913, 843667935, 486013397, 704144486, 186322309, 334318911, 897154138, 598542915, 862493748, 2479234, 113728784, 586111077, 332845127, 1054606830, 167033999, 307196469, 179288960, 834400113, 416487336, 347645886, 324920791, 451625894, 871836623, 589178065, 407479874, 927995563, 124581568, 193942171, 875770666, 907994339, 865078107, 737917824, 483552550, 557350401, 45693766, 297038774, 241049331, 774075998, 700216499, 705519484, 830521492, 91719189, 421611821, 347235167, 466103288, 63015918, 732366427, 21510606, 529777840, 321926836, 902075467, 931842355, 319814417, 509250566, 219733174, 407548055, 533147374, 397201022, 525356692, 928777618, 239424069, 161569938, 149152692, 778711138, 28347321, 822746323, 107830327, 806644727, 188765454, 987324808, 782844394, 395260195, 822699623, 15068945, 180423953, 881348132, 593092179, 1029403237, 919331559, 840435622, 645785149, 62133028, 307515389, 736581364, 672580027, 54698675, 427073840, 411777345, 104413266, 734798926, 1019896080, 20285001, 737403545, 818137099, 1010123961, 558509771, 232192155, 313337823, 349125961, 928960907, 247778855, 922473882, 423981449, 119394121, 916915739, 531796844, 56613645, 311227717, 568715344, 344729748, 580931240, 1000473795, 458493598, 402150423, 55374517, 422575934, 6414569, 294397228, 772430388, 514117141, 901261743, 306532554, 206325384, 484037178, 524163047, 562451457, 348225, 601156908, 445117768, 907908875, 761207786, 116879779, 182712289, 31256829, 845168598, 746477786, 404973582, 132935778, 300772673, 793413694, 876954387, 12261933, 463141103, 980398391, 172716754, 330369599, 727255319, 1065644669, 215537415, 355597757, 807893469, 457549953, 763232578, 940127022, 1010671563, 967520142, 19246831, 366853858, 587821680, 358908516, 157559280, 483320798, 209947659, 573532937, 281804757, 670868859, 215937468, 946684340, 402721077, 683076474, 770625598, 653812680, 246818810, 444098770, 483004234, 579113821, 939445482, 921974394, 423523570, 978212942, 95406151, 405809052, 717723156, 1063871832, 635439157, 909651419, 963252383, 840179353, 144959420, 253986246, 203771755, 140799798, 295605375, 961593920, 1023097744, 441002886, 726471905, 897208529, 1017739067, 1065165617, 96094112, 947697507, 276690172, 231252802, 677875633, 990937299, 1016438535, 499836814, 435160748, 384113375, 801307011, 188152045, 936740739, 279171918, 315465530, 627550572, 202730550, 528979943, 655350012, 288290375, 790768482, 605757020, 444500066, 510007782, 212613694, 619683985, 526723731, 395529332, 500837683, 278584114, 1025224109, 764113590, 833776109, 1021368624, 497022133, 652045249, 1048900741, 672401554, 395911954, 82429375, 339638251, 727891261, 843759913, 1051975566, 413225298, 327316372, 528572894, 308968924, 108488460, 388421835, 690896548, 51187174, 157584079, 84079747, 878360388, 275437687, 19102489, 777458521, 145914112, 176995828, 481457045, 368804851, 36561691, 431349430, 437319409, 513104148, 1050226303, 913961831, 958123464, 392213347, 995517403, 729795526, 479788431, 682486631, 467275113, 285643336, 454105056, 899801322, 709502461, 928436988, 646400425, 739765204, 514803580, 339607567, 640565392, 1045913036, 86671244, 146613, 841164674, 902764851, 10617451, 889192415, 433958913, 463166939, 1068124864, 68364409, 217242558, 647052447, 122058010, 467182792, 978058104, 700730706, 363690995, 858978388, 237081225, 75437552, 354296833, 973432951, 2689460, 868239293, 775627066, 312123598, 695659254, 519336518, 118513920, 812903817, 452835558, 486435113, 55748256, 855133708, 481066729, 1037370426, 76793672, 37077828, 467461294, 286625659, 366403479, 141428925, 670270027, 421929190, 659100187, 661293134, 532380661, 767359074, 1049080362, 307603415, 409315646, 824159571, 94246197, 189089175, 888425546, 573197981, 873916745, 518073529, 660410697, 10231816, 748507195, 644320781, 1070049598, 381778861, 283472941, 25397206, 420345078, 939200162, 106780877, 378508600, 129166187, 382612500, 166283914, 443006000, 488597451, 393203634, 846217896, 1038838833, 605016003, 50846089, 34232891, 722238755, 193319547, 396812321, 520063140, 410629888, 948980500, 108789802, 484182189, 684971622, 366000154, 256082153, 80997071, 401123233, 678060782, 772708521, 89762795, 306862072, 19789155, 980103129, 36964442, 585385816, 14001322, 1020147436, 465262949, 955416508, 686158951, 442140757, 322729400, 370099314, 231128526, 721797104, 573845660, 796983518, 149703477, 821767811, 269253704, 938277859, 399121574, 691397861, 219232927, 926106466, 331677757, 122799832, 673606022, 932334758, 1055603369, 879979226, 100762895, 828680370, 838391273, 63539447, 132909704, 964710370, 778528801, 449541788, 890277556, 887701057, 528410291, 402094272, 465213254, 314770419, 136735409, 807483969, 713250098, 337577725, 209781617, 237264341, 973831504, 773386875, 436526634, 20191233, 916963967, 381769631, 206154711, 152329057, 262988688, 428808415, 188965214, 360688827, 543078275, 938394642, 545568246, 794282419, 731240263, 175740917, 101229704, 332239453, 455260109, 773310433, 614694098, 770201326, 618184994, 1065888329, 1042436088, 559791928, 48738818, 58843517, 466353866, 159306437, 292050288, 646866833, 755254529, 920212929, 328615423, 664477313, 974516651, 26355854, 134040324, 517664017, 75141715, 607333011, 620948600, 856854843, 931322490, 359625895, 170296895, 119595055, 331706481, 532916780, 773141069, 662113398, 785647235, 14470218, 762112416, 876174752, 631696960, 546502179, 140967993, 32280543, 521264668, 908822017, 982771504, 820834312, 1064871402, 661504824, 706683835, 55198765, 986598356, 345189855, 405339327, 416844859, 470453195, 652346500, 428386838, 547048539, 561797188, 286784585, 355830499, 441687434, 424085038, 448286387, 562987857, 569616342, 930436133, 170157402, 643295277, 582793868, 766657182, 585498663, 442638384, 131115549, 840916175, 615989758, 740911525, 966955034, 281018378, 917732238, 541306256, 568901418, 569459554, 795217761, 1013241005, 1002381078, 639912900, 704973888, 597217928, 312245855, 642718095, 240723446, 819094912, 400280275, 356193699, 1003322223, 275694512, 868361775, 273273464, 684097389, 209600591, 799972573, 1044645611, 1069337936, 12489498, 225987705, 833935678, 268235595, 1024454411, 522295488, 679045952, 666088921, 505165963, 734264797, 512134326, 442092234, 65763600, 631877235, 551827501, 421277539, 342490977, 757705868, 250888115, 843419911, 717058848, 564666190, 200617569, 383539250, 503509972, 975570209, 56299855, 532010579, 402054647, 482652068, 634549452, 823238214, 869593888, 716824800, 471988156, 740917854, 114869999, 366233864, 611627319, 574884355, 629438796, 218759634, 254765965, 558454736, 577798008, 650746392, 154933299, 1045196796, 567520564, 117438724, 1130319, 533771546, 681664584, 489777875, 153707426, 320226157, 253305460, 94280867, 351039143, 789019752, 80994147, 251550047, 352242473, 668272328, 334963886, 951731889, 376616733, 450184717, 899215158, 296688591, 902515648, 288818531, 418749530, 806095775, 892058236, 827661826, 506570385, 527062866, 109090930, 884287032, 481841499, 209926663, 813920302, 76310481, 762156465, 883990692, 1013732176, 894238140, 717815891, 412097465, 720599316, 227793165, 841623821, 661869043, 126805537, 859772411, 709684224, 413082222, 679587846, 419821446, 307221392, 862841931, 208439335, 859952081, 142230728, 902109586, 1029835849, 480636680, 993020687, 27260110, 1050494122, 401046025, 489833107, 756617954, 276191, 121194391, 919770578, 209325169, 604238578, 616678373, 441765575, 36451075, 842597508, 703972139, 495174459, 981735127, 1035542684, 784432412, 598605810, 230584301, 659607757, 678386812, 959465399, 803726875, 211306144, 202577965, 679691424, 507019665, 347967657, 445607431, 450825790, 887151667, 727736032, 979085652, 451520552, 451288060, 993558555, 222242051, 539168553, 301016504, 3640187, 907372119, 752504541, 1026566763, 237641606, 749463550, 341920373, 219657879, 1065493502, 883147415, 426560032, 100249558, 311262351, 208466585, 942429890, 910417717, 38520008, 396247097, 380036772, 373743943, 897807300, 86308960, 915002031, 923513452, 749135908, 279617634, 253120698, 722389144, 1012380996, 333952377, 489335124, 1064821815, 68681436, 666438457, 503357436, 550803715, 167004026, 422240549, 681981021, 848393470, 637896167, 796620404, 151711375, 917133480, 912033456, 185791537, 324135509, 987168711, 863037991, 560003614, 1014821241, 196397711, 970170533, 397570257, 281241399, 1007373648, 948286454, 401890460, 105044071, 445653237, 904339952, 398108144, 267599965, 774679745, 181544546, 93989792, 833658858, 1035035860, 192209276, 344444200, 907257405, 438134515, 603477090, 377246284, 239340011, 317664609, 834857348, 503813974, 317550273, 809751696, 920293269, 38229401, 128796716, 534012098, 741487654, 981067539, 417586985, 853127885, 232415664, 76365218, 179792391, 547527041, 817942164, 424498959, 561045701, 777945559, 782346846, 305303416, 410350681, 295631857, 582682093, 717258723, 273726317, 747572210, 853481052, 563657217, 770233232, 500780386, 459708339, 333209030, 298806577, 535754009, 744752664, 1046624246, 421504558, 1033578710, 998484682, 926951986, 898776217, 953091176, 12098014, 952596319, 477460693, 1044286522, 699102998, 580655744, 696783151, 632543477, 821955046, 221968079, 321666112, 228922208, 881768065, 736453388, 643791048, 773078195, 905819669, 1045657955, 438770718, 581263846, 693794503, 175603335, 656000818, 383777462, 333923146, 730049674, 62235933, 970391886, 481725303, 292703091, 73425029, 94417272, 899531485, 871036416, 1055058656, 405966699, 500223764, 272433640, 501520066, 493175829, 123677659, 904364354, 133142159, 114144291, 314898851, 180357890, 969354948, 337867857, 831299979, 493664677, 558581189, 988365670, 1029186158, 943996906, 245417613, 873669975, 90830411, 828098061, 623960210, 799836039, 96219823, 730154719, 834343218, 570352164, 317394659, 129025631, 302031670, 834838141, 272479647, 278872844, 93540890, 237216213, 520010019, 24973430, 145383015, 801089756, 13468769, 914131663, 591305822, 405088407, 227454345, 487591632, 995613016, 709385391, 184056935, 478852332, 419295160, 184812187, 672348851, 814832015, 1037546105, 370500267, 544355398, 689614227, 804637483, 607940889, 481741515, 29652308, 1058683731, 982082764, 598039274, 802589045, 961220514, 409135661, 371712088, 147144203, 16976934, 409654289, 641259604, 808697184, 946467355, 393020757, 741019068, 1066592989, 1054439388, 750571523, 96343363, 892869287, 823644590, 143927236, 129930530, 892634553, 389986956, 784603370, 177273313, 394541036, 839844817, 486597564, 792110379, 256649152, 442494836, 467081331, 784323838, 283919478, 203900712, 281795002, 65508837, 221472569, 937386920, 1019649812, 173923291, 538865714, 561473376, 852846557, 654007979, 333242296, 926630041, 726668606, 869333033, 66162954, 395386608, 267699435, 323049636, 606864564, 671998643, 716789137, 577078520, 870362514, 222862997, 427188594, 81898304, 792367022, 294317409, 973570721, 870221889, 143158923, 911223360, 187481765, 810106120, 1073165935, 192662364, 913570647, 305515375, 876056401, 808607901, 151832666, 293727201, 351995048, 1051066162, 116287827, 453856750, 684143511, 847027584, 882129285, 138420574, 204069727, 969173511, 120145256, 810558402, 222947825, 426246007, 775334134, 566519948, 727447743, 540984315, 17684744, 217452517, 214313836, 53748145, 889849226, 241803917, 332229743, 399646777, 128229619, 493059256, 1051508030, 81541257, 623302883, 778595220, 953424616, 427397140, 994901648, 596105867, 138991542, 364021731, 249944026, 284350541, 346467288, 56969992, 58431815, 1060562025, 1020730776, 878930430, 424876568, 119810993, 477362543, 979235726, 641965854, 790469693, 887519612, 585378387, 521131400, 243997969, 1062679460, 911030366, 1027105924, 249883229, 906576737, 735368124, 556035904, 75787624, 429528132, 638185304, 167004268, 447730624, 556366549, 476223499, 355300381, 837304764, 230140265, 552785706, 943586091, 562354147, 524204210, 367460762, 119023344, 595373782, 170688228, 988232074, 439375686, 1033132264, 874075820, 109926971, 228490311, 941285823, 852640087, 129752681, 233426653, 731255473, 102815855, 899389662, 1035457128, 370552302, 524496, 351377375, 161232263, 301639386, 646750309, 802894885, 4920147, 542446991, 633714961, 754398085, 467045340, 1051210270, 930424111, 287378576, 58167424, 1043546045, 216143801, 396153012, 1012395907, 863076680, 659179763, 155226490, 525323154, 1004029361, 617315639, 196935768, 877093619, 288844934, 455980455, 187361135, 824651473, 125732392, 295727321, 364276634, 273093859, 703094292, 151535138, 858047853, 851293284, 641038641, 688280392, 987504701, 963905821, 791102563, 147512746, 87549254, 701160399, 488356065, 458740419, 265829328, 371803853, 15373046, 953904727, 879004335, 812691340, 110297835, 369843295, 427958656, 705810944, 70904711, 930113556, 70824976, 1009774365, 633157045, 107693576, 613557741, 535674465, 170396249, 594527240, 722269916, 251868692, 573460161, 490640644, 348102536, 773629196, 485048281, 840619047, 996266278, 202231778, 1013215004, 791117779, 909181031, 103660911, 257564271, 937036260, 684394771, 798212030, 523028612, 753324913, 958550791, 39104974, 753377093, 1016492944, 737056269, 852390270, 846606143, 823825665, 880844766, 13395160, 349459054, 507988121, 621488595, 313621574, 664842994, 751856904, 237270502, 308471800, 347975426, 538560096, 1060253284, 754660851, 972124514, 904446501, 304995955, 1053642766, 843924427, 711343525, 939787010, 562384675, 9756298, 534371170, 673962904, 174506596, 58231005, 418262518, 684717956, 805580109, 264648842, 60690041, 183655093, 463659112, 78654928, 74585670, 314087296, 58234715, 570021311, 549015199, 418994839, 197333887, 50588925, 602141127, 114610044, 689293827, 4922283, 898357355, 566480540, 850880458, 509737065, 689091210, 342378598, 1015580706, 463547284, 448394528, 802860937, 283774842, 828312131, 972969053, 741099940, 342113619, 254105510, 338970248, 426158542, 411031654, 650067574, 992484540, 423591128, 114398187, 1071776648, 466634217, 699849526, 534129459, 1049486511, 858733335, 369280838, 984917520, 774920735, 293658460, 863320303, 402092002, 309748179, 100333164, 182621386, 656901118, 914597079, 872438392, 742956417, 822943580, 582577069, 28477401, 570385249, 412400602, 525613072, 244513910, 313056188, 485713075, 138203275, 972962101, 862107382, 910444456, 451329544, 328733314, 743700915, 954548166, 448941305, 279432730, 1058367739, 165825236, 842689382, 86562736, 82691180, 784732112, 935981742, 881439792, 708930875, 820667326, 583368464, 22619525, 71359800, 744387235, 747899649, 73808111, 499248760, 580420814, 767610997, 799024315, 1004782449, 807386857, 341630025, 36834688, 610069769, 874595337, 757276464, 805673161, 464675870, 856653613, 830703858, 963602066, 479187586, 514999894, 227994104, 589083143, 774798985, 406100488, 602729344, 978595827, 822363654, 398000615, 757147668, 544143093, 38558958, 267016659, 132788982, 64692427, 190230724, 203838819, 348091447, 672142361, 808675583, 272854253, 386474875, 404796056, 677600276, 90849797, 354264557, 177697286, 879781504, 439193341, 120541781, 729353327, 907575205, 869630377, 747372457, 650220177, 841920143, 275704550, 322588262, 691215711, 232155361, 858469120, 636005495, 433869160, 860162040, 582961442, 607101066, 907312437, 1067429910, 581934936, 36290938, 1061190418, 957336439, 82004807, 857691966, 297553106, 290179984, 304702750, 616809721, 322049185, 19647077, 1067385000, 545683284, 534289705, 312155442, 741950730, 404028321, 51845762, 208736603, 870821147, 132509215, 635404059, 363290921, 87091696, 689938526, 872666535, 848597187, 857992493, 1007676527, 1065533558, 624256716, 666465929, 500966119, 986166248, 922515548, 516714487, 830939741, 279182407, 370087163, 329970014, 102819177, 293269075, 208632275, 885296681, 644517531, 293081472, 397773811, 723963261, 104689352, 359606692, 925890375, 359362788, 227855729, 209046378, 95954404, 289131749, 427286979, 518079468, 117504865, 675954771, 879442039, 179408990, 746216854, 203427291, 233440191, 895380408, 545791860, 100857184, 69902501, 375682482, 489981666, 419919164, 716327212, 292779600, 137126439, 344736805, 744569753, 651280264, 313654669, 247083124, 184334463, 6138021, 871822954, 731016055, 1060447069, 377153348, 1004782171, 174054974, 516528100, 476669835, 81111256, 779670703, 946891876, 508746707, 371158673, 1718222, 641780898, 1020357001, 288674282, 345719788, 311408655, 985009701, 711411942, 384158162, 176494513, 598982584, 491725058, 744684732, 497364527, 17426886, 207798989, 962209644, 972864837, 684651865, 835736411, 1043309889, 970534045, 370608672, 976892930, 445621832, 960254751, 146766402, 193432728, 776852029, 810421996, 795728142, 527235896, 767542733, 392258245, 5250458, 855973437, 964900414, 915822320, 90293794, 979712709, 380831218, 1034068834, 841867922, 212620362, 101325265, 549852524, 560166487, 1036946365, 42582778, 968047464, 696916111, 363584501, 746211869, 700683227, 126125286, 117541451, 603401716, 1072581668, 97373878, 459019436, 384191583, 629704795, 613676441, 209200174, 89309159, 965188034, 84020813, 142855032, 392045275, 154489440, 488088844, 978129695, 552801760, 753024392, 176885430, 817196450, 601287183, 59614364, 764474424, 626921706, 68924063, 446635937, 324103189, 416458169, 1070220655, 186618237, 768784323, 788856517, 33259413, 433327816, 464408798, 1012827857, 470613202, 1003437261, 597959281, 322924160, 144760430, 238923239, 254561245, 851237373, 99373375, 288918131, 163036285, 32990251, 452897664, 130661582, 45436475, 609078909, 1020525824, 328001614, 976626078, 188987473, 418555219, 735455733, 304843066, 38265399, 948111856, 917130890, 494813144, 307570372, 951882524, 602093179, 470001921, 1047761578, 366049856, 715615814, 833989242, 590161889, 538370546, 796509728, 131017099, 147451521, 666026001, 656668019, 594690466, 786604557, 699323630, 834360350, 533958546, 149559831, 755513849, 396643449, 577564975, 595206408, 635288569, 281106102, 922020058, 625316395, 832017340, 434355269, 655783008, 1025537272, 580992720, 1070057096, 447171912, 464752711, 110223593, 509368599, 172718171, 1040539938, 1005772342, 1065929253, 834321725, 174271788, 839634166, 79430233, 143287515, 642813882, 418529860, 346638163, 618334454, 310274932, 83246364, 56890526, 98859601, 927238954, 451133845, 139249949, 80777114, 305852555, 814682299, 463280323, 564855193, 973685490, 249616127, 910760645, 837202535, 722757670, 93614657, 648485207, 656508911, 11492231, 428468597, 918465112, 431168793, 526167225, 672756085, 104184218, 803632041, 870749322, 863099310, 1067978284, 797712549, 466368540, 743121678, 569731927, 834573660, 670313271, 221522297, 792641362, 190682213, 281187849, 132389495, 683896630, 139278618, 1000336976, 104363914, 370204379, 978282108, 647969029, 280816382, 482325440, 905082281, 19957176, 735451362, 404259107, 929680963, 487001215, 934084149, 386844997, 82309000, 784237366, 437230813, 807107609, 1062917232, 507945317, 460221307, 677958110, 346794776, 111202900, 965839176, 87492123, 609435035, 893792893, 471236930, 450851801, 940153004, 676113690, 688681684, 154926026, 236895106, 448127871, 60775513, 52174411, 307594679, 941689898, 325387488, 351870908, 583704820, 742775077, 241779852, 19810108, 1007399226, 176922930, 982524850, 618452181, 305684597, 875792686, 478485761, 185297618, 815911244, 541356331, 714626996, 254989836, 828886615, 552344667, 699751714, 56127591, 683828228, 1004296398, 647123022, 847163094, 744801772, 326696002, 92041641, 846284800, 163672659, 330907378, 457740204, 91646765, 682757280, 658992, 724785586, 321513053, 627738790, 763986036, 618783851, 919417042, 639352048, 879397868, 505028513, 441211246, 94890895, 1052752309, 57229147, 1050546957, 778127152, 324988296, 54750624, 355618266, 214810170, 713824143, 10506870, 274288896, 300764948, 361659033, 1050458466, 807780428, 849980242, 104628666, 521685643, 295240928, 294574639, 89861634, 193478491, 263295431, 1005012138, 644563316, 707507439, 392311013, 947590208, 362401814, 996986905, 122945446, 353274145, 1036606994, 971817718, 402545927, 219021117, 903782245, 191688745, 639894674, 420364922, 447880761, 37759250, 177176200, 892468345, 633261570, 550076376, 418954877, 785516561, 1053567121, 124817832, 1288418, 867488410, 823381951, 349392398, 813816239, 799080517, 252194311, 998651212, 897680494, 1035174751, 920639102, 161786940, 904511137, 53904623, 990196010, 297575852, 50513418, 281191643, 429671355, 102682862, 754963242, 669492640, 898621348, 318398455, 734152764, 226728881, 855093261, 857663862, 388725272, 379279589, 770560582, 911185261, 373263689, 184598290, 927120793, 467931623, 100394463, 426072179, 424227156, 597181284, 1014041820, 106751561, 974449831, 257116155, 7106087, 250617445, 1057456057, 790999352, 805877968, 429071995, 86416848, 157623975, 617656197, 774221603, 912722778, 664657626, 620592586, 443806211, 224056549, 457159367, 694014073, 743431721, 933266083, 829430735, 811815183, 496891123, 49199707, 493011508, 751354931, 380311091, 485884741, 972862572, 77848356, 1028649638, 529019251, 863230585, 590109645, 813986911, 686494719, 824257122, 1024894593, 862686984, 353065043, 849457017, 458408700, 69686827, 308324145, 313127890, 9930397, 231425564, 1960063, 344798660, 563311310, 266882664, 919988526, 120962377, 378945856, 893201274, 800407517, 563836058, 247079015, 629863341, 117580052, 1000074189, 763700237, 419584386, 26694557, 978204316, 1003347247, 71283989, 869156046, 14186746, 820849084, 595362492, 564039833, 600611373, 657112916, 276041056, 586247930, 73307126, 71171101, 962090505, 702254318, 868251934, 117702860, 65388313, 924998989, 382335116, 138249514, 111102579, 449189079, 512827832, 938414957, 866549647, 473394955, 674886585, 36382540, 798846326, 43459880, 115945223, 254316484, 389174414, 783517655, 260036255, 872855927, 170126479, 8076026, 267389578, 389203971, 886896362, 51389332, 49486766, 853998788, 904372388, 1206228, 697736236, 54834552, 265901268, 451147959, 934519669, 969314573, 918195167, 756338904, 468102263, 1002518382, 349073344, 168936909, 128095276, 210180540, 976996101, 478194587, 996147613, 902348886, 647193394, 478145214, 690506828, 441808768, 165856544, 335408421, 43778587, 636768895, 1004807116, 293483704, 405930844, 163542877, 706276030, 878562894, 701640570, 921065749, 747731838, 455993055, 785614117, 29086105, 717959690, 972033870, 323112373, 28782508, 280047155, 387831474, 826364279, 776430923, 160517093, 759788102, 648872331, 606664732, 1020802065, 639398911, 54217418, 377454513, 313400587, 1066987936, 641014523, 939728407, 155253043, 674506558, 126572065, 782661790, 909783127, 280910393, 7757099, 127009608, 752547562, 895234626, 203503971, 554270860, 512645317, 237529970, 836162486, 955986131, 768135460, 203277199, 42141873, 329045400, 599105924, 288942434, 398038303, 440708071, 886502787, 198097438, 567091451, 1006092029, 308711127, 397036955, 432542502, 905524768, 44588163, 871999490, 94778116, 863259205, 550382252, 59688615, 718532648, 311244983, 965539005, 190260246, 270211844, 806260736, 154055826, 145037932, 560970581, 725172207, 662720007, 532426099, 720063875, 785991608, 21716372, 697643940, 218171159, 1067115757, 624787324, 545626120, 356026580, 904102165, 65287122, 756575152, 43200750, 798135343, 504359015, 775923976, 23207002, 26246488, 466343116, 407387738, 322614051, 939094786, 477917000, 191751229, 1070829322, 412350806, 378708667, 519559167, 264820739, 574191917, 906837171, 1016639710, 764956549, 225510878, 104650697, 519824501, 920180282, 491625400, 380883367, 269748113, 873903414, 897614745, 356978179, 691332587, 553899779, 741102175, 87655246, 452101763, 10257021, 414271692, 957564884, 713054421, 402402271, 224250640, 658839955, 1033907762, 955731484, 110887456, 475356717, 601543767, 781914791, 893912271, 863890851, 714204730, 90713293, 891861474, 589364133, 390856858, 17899751, 133416430, 149538118, 650306571, 561355865, 590523723, 762663021, 115767585, 16766780, 400071755, 193047402, 784691024, 455902242, 1027691715, 65458077, 54093575, 71087768, 322294619, 63217119, 797554434, 563906751, 530238150, 863583901, 583499038, 435010934, 305702438, 561130311, 811078018, 2639673, 952376362, 929120234, 632226850, 21260440, 505505374, 914364774, 166242078, 74103921, 97197039, 205073704, 972033504, 944518270, 72924985, 379361445, 218893877, 1028411882, 949720736, 421783522, 445219247, 537593854, 651172356, 48706480, 635945222, 217688728, 365231008, 30918515, 161165560, 851479175, 446084002, 655955847, 374526879, 827271170, 59801094, 346355333, 148667829, 1005950620, 619401544, 748875010, 988775761, 699148373, 986122604, 76860287, 822655523, 291863282, 160336525, 796942986, 398632911, 53997840, 396488184, 581681382, 45968096, 264394585, 946187552, 1060024360, 1036218498, 554605770, 323149934, 841322374, 648132165, 460597967, 1061529181, 220131522, 801584728, 659191355, 214981167, 478170648, 588127296, 289116647, 1024092841, 844136544, 884525697, 380968863, 980166066, 159994227, 260589684, 803144311, 978719455, 916000845, 515757197, 5462447, 751137587, 353265068, 183014001, 382617419, 513810568, 900910226, 857641892, 56550591, 187068379, 202240351, 292851702, 115120852, 819403877, 52397294, 885109249, 881335958, 628842623, 385961776, 635041491, 695318083, 445955757, 759332509, 928729382, 1029527165, 555683971, 47154578, 343817607, 46668373, 758190815, 555576267, 1064014539, 324949887, 542574163, 331660037, 1072467585, 136554439, 634548420, 240092751, 782452868, 566222949, 599654637, 333374449, 502455795, 784955515, 596721184, 965381308, 621401133, 896622634, 195497953, 629055419, 840176004, 211745341, 637411182, 288260171, 183487564, 248677241, 336572999, 278602988, 714113326, 264323635, 1065621918, 365521726, 795007877, 389565799, 332556577, 555825535, 323336825, 593048727, 422902379, 435090662, 332439104, 477115615, 293884798, 212616917, 861164508, 862046886, 928710996, 36071946, 133247642, 377665701, 609345243, 866455580, 155439534, 97106282, 676139147, 403559034, 444463549, 652911075, 659291857, 788474951, 744775652, 403663301, 945049771, 57876589, 241522102, 1020220799, 1071145704, 464936551, 673238562, 818585251, 826507377, 418662700, 60051568, 813315748, 398743019, 177008467, 992618487, 945097659, 900099277, 286445530, 710453373, 130479401, 125871958, 62951612, 271970237, 1021948591, 426775351, 358627189, 927141540, 93726114, 83433736, 189705453, 924920507, 935083179, 227618696, 8273546, 145067293, 833277861, 753806898, 173986515, 678944447, 920309541, 920602576, 425737042, 476941337, 853201597, 963040589, 367665416, 157547502, 272625710, 373182150, 917886748, 75446511, 138280745, 645272478, 622865216, 437891998, 372337984, 137670550, 493178948, 316426113, 313207188, 491445681, 392449764, 947038933, 550784144, 932005837, 76247929, 62346381, 411675428, 636997323, 519746009, 717531649, 251911039, 907223598, 906596650, 288955485, 561369424, 435507017, 656103824, 646994479, 861582420, 76945157, 756695712, 754200137, 254406318, 270916488, 974091308, 40815862, 474676413, 1025625482, 414155046, 236049104, 739394310, 292795720, 308821809, 284403316, 398897678, 172346083, 742496411, 522606732, 853863094, 253604924, 236760367, 596340639, 393701312, 854197225, 1033608795, 267308769, 775403037, 125873056, 202664252, 227947170, 376997041, 509678969, 668873282, 765537195, 774209147, 1020839065, 692483471, 306100754, 585455072, 398071340, 153142281, 379481004, 903780771, 394074939, 760490345, 511982006, 1073600756, 198329210, 459248584, 503385927, 526477686, 117423724, 72482153, 179663985, 832882881, 340988268, 129483745, 270975555, 773861781, 449158085, 738691000, 306789619, 626920877, 314674958, 137819835, 758869082, 571906519, 230542899, 841258525, 219573052, 284738592, 475167410, 816380247, 335848116, 850934808, 341986285, 837897654, 575829833, 532359011, 1008574270, 704332865, 817194605, 173337219, 980041758, 529475853, 1018422404, 1072686924, 910836516, 161008065, 216199677, 1048359064, 662679006, 715625068, 329795001, 233609233, 355627274, 359323526, 1047966841, 465234618, 295895789, 925903228, 541168683, 807226944, 114545727, 78585258, 304181815, 58273541, 321122923, 71390329, 391640097, 585840957, 398021914, 990639829, 932241781, 807463010, 4139179, 695278113, 48658307, 1030599304, 317806320, 18407113, 437869590, 118226130, 324781483, 975541505, 497190258, 204834000, 350271498, 945918289, 180307300, 391745778, 843862101, 894377640, 494679918, 380265865, 528496294, 767116449, 788132540, 244776937, 664411082, 743276623, 1009893387, 864979898, 129146381, 519723823, 623434809, 688517000, 13916210, 104290450, 745965441, 1069642153, 506700321, 816666065, 474112606, 155389067, 532410580, 18841584, 238284995, 185967018, 417517835, 421514588, 382506167, 658950270, 716478110, 760376293, 157838356, 462615398, 599819175, 721687270, 911967425, 338422059, 348745509, 351574707, 431245433, 42534499, 51462578, 906580663, 493885891, 946507528, 956186960, 4254989, 919455213, 265218400, 975211693, 172952566, 573662050, 50141413, 1067663092, 169301330, 3634564, 451618381, 942202078, 1028788637, 518640783, 617072878, 419671199, 683352691, 421857465, 130896279, 538340675, 218470509, 626250176, 260014076, 41366424, 252998454, 521130704, 1014993228, 129785707, 642520930, 730094787, 1035224508, 280237064, 818304173, 601845090, 971006528, 673922958, 42711303, 165451197, 183350564, 897127233, 558927214, 928085344, 67137345, 532394815, 327235609, 473368425, 967133573, 681531566, 366133614, 523039288, 867677179, 96775602, 97693804, 247963780, 115329990, 833618386, 458815442, 589928854, 708188845, 993452890, 629500246, 546909006, 875349604, 300964163, 999347944, 476760534, 399664873, 107548646, 266816242, 47739336, 296256168, 664458810, 882866841, 276192757, 799784880, 599273252, 497316933, 113331052, 158322002, 512874054, 353577069, 726932976, 426262805, 406006327, 833287886, 209930884, 437631266, 551863223, 589440845, 151510232, 794491667, 219060010, 740857061, 975625883, 448715882, 51798719, 119791796, 485708478, 571167372, 171825535, 619901613, 949292614, 920103054, 1052797989, 400842143, 845214611, 397510751, 148757546, 946768266, 826558105, 704527521, 979444587, 776656666, 646310684, 730347394, 543666771, 912650453, 981454378, 203241941, 489419886, 826712797, 738577470, 930244366, 510778682, 678322359, 704815531, 691401759, 524030009, 238604584, 504859511, 203599754, 13571204, 616540857, 103889292, 653527139, 473178215, 711828134, 296193530, 688080334, 419466583, 939532449, 681261032, 933894994, 437780511, 906725118, 679073877, 650244244, 59451925, 41462684, 78839222, 852114509, 75599968, 74761956, 326795301, 284658093, 807929329, 839995345, 817601079, 5653367, 680193783, 464036256, 813465378, 975593435, 478423211, 986169317, 179648483, 1057678656, 906760465, 683614478, 251036856, 1030597099, 903303157, 307197483, 882929398, 411076560, 427134148, 96399633, 820908405, 570432431, 754349886, 746409281, 186167515, 1055535092, 448083719, 421229294, 157091619, 810684310, 588392755, 708037288, 548416457, 901653627, 132330826, 161402481, 437026114, 720625740, 304572506, 988205690, 880744578, 692835451, 1012412241, 886896261, 658664491, 261885987, 400975103, 796496436, 702588866, 527820650, 431212540, 743389495, 289267336, 1068355511, 825491043, 620031009, 358017162, 1073665381, 643331268, 733684620, 315987095, 734594264, 450747190, 812941206, 299732381, 684075662, 905366534, 523520762, 725990661, 1031289705, 778399136, 182824187, 879644169, 50496119, 928042554, 346491014, 198475526, 868264380, 871463440, 350614528, 318063790, 284519402, 746367232, 417005450, 224879935, 573611409, 675178795, 310110299, 979306734, 659619709, 641448155, 38405462, 52155096, 900705058, 990362270, 871298113, 308861421, 567024646, 411585042, 67455566, 622165517, 851638627, 956781332, 348833167, 807147561, 207856287, 619401409, 452495341, 360372305, 1058356592, 559722430, 703951906, 771252037, 434071459, 579787423, 58528411, 220891553, 164765602, 371257246, 1008283243, 625847390, 1048598757, 822581709, 841354679, 859943348, 736086335, 359151584, 722403324, 1051886645, 447060046, 978153009, 882901717, 398430466, 896261144, 764276283, 462116528, 845302794, 978546257, 1071514345, 60377650, 321402076, 439147717, 728093132, 959206630, 871742853, 711797320, 430883196, 974730274, 972924046, 282012519, 1051739308, 612623040, 217832338, 246244182, 783755777, 693408128, 1070343545, 413021098, 457061753, 877162370, 832796026, 330576506, 401366085, 1059151720, 182282696, 635274626, 775604191, 823544635, 25311868, 631778170, 483984143, 53735205, 282137903, 758025513, 782759731, 782941508, 557795273, 922524703, 796547699, 974121857, 608215724, 782493315, 389976314, 435850552, 286719976, 60656023, 208013262, 504942339, 723164971, 150322659, 620304563, 765839889, 558113147, 162549636, 383667900, 474779080, 362031752, 136736648, 1065382722, 1073444973, 225062091, 190616645, 789678125, 90498550, 1018306849, 242801114, 368315868, 208400038, 798494099, 435592169, 752208952, 579683606, 76787731, 986289813, 844661594, 295337145, 214046584, 733708384, 124550534, 804031615, 677690042, 997115746, 394909334, 21783052, 540281772, 25567972, 868449966, 790961105, 901793486, 669400665, 1054889766, 281367979, 136587120, 7874864, 788379290, 568945424, 638327713, 590226648, 799381917, 575230463, 312714058, 309927135, 288215631, 703908245, 793562014, 302961840, 974211308, 687462380, 376732619, 585839511, 568760235, 393565236, 478958223, 750092770, 754541239, 616301063, 577312607, 782241271, 815194679, 597783998, 72365080, 567719970, 487307512, 514502817, 249351632, 625612022, 73749473, 975313857, 658878678, 529346206, 306033924, 643025936, 333481414, 197369125, 22011113, 349459256, 57660717, 378052190, 1040370869, 853605535, 586616639, 731163954, 253666037, 14160686, 320475344, 681550428, 247127434, 725440685, 183907655, 270923447, 1055420305, 1052827110, 43613127, 490812347, 618264556, 801451325, 390582522, 639455997, 743356783, 633499559, 1013879996, 113651707, 115819556, 768807588, 471327805, 1014409349, 305233016, 137766213, 146555849, 162053735, 416485438, 474558094, 1044823676, 264130648, 842375988, 999017117, 39489737, 511922134, 3649385, 461056247, 923277517, 661455428, 157033844, 230466729, 156158955, 425247132, 219711018, 479533492, 374023196, 571837009, 950951558, 449868520, 322870057, 178424700, 625306609, 108783494, 117143100, 974666532, 832192514, 65374432, 60112295, 603573048, 115824016, 20156196, 781287981, 488910369, 476080808, 864781225, 370071415, 694758164, 914717196, 258292205, 109358914, 483409429, 615661591, 261886112, 657250807, 347726931, 484906050, 320213457, 84021455, 116079410, 1042487787, 655051426, 463977317, 513573605, 122475748, 652101890, 610080292, 389595591, 552291209, 404134382, 803237297, 317898842, 522664185, 831536590, 129550651, 512999550, 522991072, 980693265, 825367083, 313431919, 204573835, 589327986, 927777324, 515581050, 728119388, 68123729, 933454852, 224421041, 922610741, 454759209, 804213208, 220750098, 696623633, 276155084, 694104068, 816500895, 966408247, 505449544, 85917963, 22799147, 792218053, 467983303, 994542236, 864850394, 1003323913, 902395462, 236130672, 565396835, 934097359, 32393418, 936568002, 344896311, 91359569, 595967845, 370486730, 78188253, 147987147, 1028229507, 441064102, 269730642, 702601686, 26788364, 483217226, 531787095, 626603297, 886669770, 643031442, 742255841, 476400703, 452549674, 258707511, 271416354, 463689622, 353054085, 667404100, 365006560, 654778174, 351257102, 258109122, 70882041, 901930294, 722155815, 933670625, 686843235, 674094063, 365115881, 806238914, 672499071, 13663493, 837123084, 562749689, 1068070758, 749302128, 75323589, 713505766, 976781801, 313344848, 244029213, 754105446, 1022725307, 433187775, 660379614, 795843054, 298227040, 543073595, 597353749, 848508134, 1008708163, 838482812, 632467812, 183753278, 101283756, 82967346, 903448834, 692295786, 926217769, 424210447, 711410286, 414737181, 158317737, 181172444, 176800542, 205849741, 345939181, 337658432, 1053085253, 897481758, 977468893, 331887832, 434688196, 998732189, 523884582, 496715487, 641358857, 754649990, 409197083, 233235293, 124440047, 357741973, 837619525, 460874143, 987798079, 239336679, 724621402, 896666055, 361505068, 22314572, 891257756, 549040735, 871507864, 768223791, 784570324, 279039617, 515152713, 612003626, 266581095, 435011278, 569806877, 878635537, 372784748, 410630557, 797630014, 393605152, 498162851, 868720565, 679029216, 134430655, 685830951, 277927849, 157552290, 667334974, 129888975, 761014281, 741892608, 54546453, 3254546, 414577875, 591200636, 718402292, 613056115, 420332533, 977537044, 141348432, 48892391, 973301700, 818347959, 467227138, 840579595, 951711356, 624314369, 428850849, 641133107, 991356763, 196358141, 573787549, 56087394, 243984974, 910664487, 477308934, 565283652, 1071988565, 746029637, 1047802887, 793653540, 917092890, 142171010, 369831218, 741830776, 634109818, 290462745, 637872926, 1016297387, 120114320, 748881225, 224101619, 906791170, 599757294, 542784676, 454820298, 110519950, 737617243, 909829204, 427234540, 425156789, 328119332, 837288686, 279140631, 549704706, 384094759, 34056197, 586868316, 952885761, 513278491, 44993247, 776516941, 165658267, 641823886, 452216843, 226515993, 139915582, 962006140, 560039980, 851766778, 512025714, 218523995, 695341183, 438298551, 1031289243, 603384030, 274179030, 638249491, 540206384, 380097369, 835722249, 17936230, 895454838, 742877761, 900964865, 524063320, 498281052, 959835447, 224992232, 984934253, 201872018, 736745072, 933136739, 196750169, 79223445, 359416040, 57597532, 11903220, 408266733, 778394453, 866325413, 295346909, 258064144, 580214530, 1036842062, 1052890519, 575447990, 992214782, 434366872, 484059966, 713679418, 805609971, 272728712, 403678266, 386302930, 840057303, 1060239218, 658653641, 453190439, 325295280, 474465712, 740392491, 250735791, 47061599, 76821354, 812657303, 746870461, 35873686, 870527447, 365453767, 769013777, 779473361, 942056823, 391300069, 792564954, 1051817067, 514121505, 32291607, 757489359, 653233715, 803692801, 258931752, 186379459, 871048416, 351605926, 849665672, 258826600, 1066805620, 734821829, 90318106, 545074251, 291273666, 391264365, 741371207, 572817902, 614367458, 551249397, 148263705, 340409731, 639394080, 581753106, 514484110, 17922215, 1051238094, 539465249, 973056403, 735842913, 245197947, 504086986, 45382702, 696340396, 98050202, 569400726, 806426497, 350504002, 804609757, 1043661791, 91340185, 443916799, 535930638, 275404696, 916437825, 138092489, 547548612, 427527046, 44988555, 297025015, 885606522, 160438666, 252746722, 598453035, 548451393, 945206679, 1052534586, 768065675, 874941466, 788076724, 1033853968, 855560457, 65120924, 277816975, 99570779, 901101233, 856725340, 882960539, 706021007, 737289977, 291107919, 917121610, 623713196, 259890041, 478931880, 162612470, 200833352, 28011484, 933743645, 328328463, 1007878396, 560570059, 962960614, 651378432, 612541463, 132608557, 1029787355, 118895071, 641875514, 822039444, 284398111, 497702141, 1029224113, 1056334391, 78065091, 680631325, 973443288, 356898583, 653285924, 879100731, 37224475, 114939689, 1001899611, 730452441, 980035245, 1002574856, 794958670, 524718979, 162818917, 141481695, 637869212, 175010463, 105337906, 721403910, 875338659, 334697398, 433351033, 925429127, 659857164, 835320951, 99290826, 739312684, 657698899, 68901372, 94294774, 14346457, 573392812, 13957375, 720590568, 138978138, 739158491, 461659750, 191947431, 424872097, 889252634, 697251181, 139138613, 723654673, 67340707, 770837242, 591229663, 864094154, 664753559, 592179799, 832414881, 679278919, 192805592, 526506364, 346267826, 712300563, 376561327, 594964517, 304074737, 439121860, 414753247, 149874789, 656852797, 389296940, 463695027, 38893966, 650401895, 916356302, 717899223, 1021687315, 845608354, 810332025, 1040739997, 506978385, 591805748, 708702818, 628640851, 1012424342, 890144175, 614083902, 964539359, 1021424149, 45396364, 996561753, 639009881, 367618642, 445392454, 528383573, 885596489, 552600984, 678449632, 922165108, 857144115, 270560667, 461228783, 195238598, 459166731, 798037209, 923063027, 867877519, 393857126, 361127756, 618477677, 296777629, 191225970, 326833583, 821038221, 709730407, 83623547, 149676881, 201911529, 137879660, 115655231, 588371267, 110004871, 938945563, 597067855, 702579217, 897822426, 520930584, 175246394, 620280217, 752139618, 869264214, 555998467, 712645064, 74094529, 48842328, 639641225, 361640539, 1065375872, 500316767, 682135343, 508485204, 620436142, 113978818, 757087838, 535740964, 837112065, 180622778, 606912293, 870192477, 77638331, 619180493, 765818102, 377151062, 586037955, 904391770, 61961797, 213827725, 708606730, 103114308, 656889753, 705011864, 314053961, 790425027, 287144888, 532004038, 715726828, 252658764, 28782909, 947551544, 84297219, 267586434, 446796178, 260568396, 622742231, 1062827180, 1045800698, 652295008, 983752061, 1052758779, 934099786, 862906886, 1039312468, 692035381, 476154923, 529254709, 937993521, 948680491, 329417379, 521649245, 115200528, 596221966, 100357118, 305776559, 448263979, 984508989, 672291570, 206014554, 642664591, 991371, 860033859, 508773967, 927437492, 751989638, 64682873, 559667817, 808849133, 365354120, 903049449, 453965522, 15853793, 56317217, 926777773, 184253207, 288804131, 166349060, 432340163, 68296227, 121236437, 305300208, 420803578, 1032466891, 162476946, 923635178, 943040072, 804701521, 134848539, 338047470, 108881768, 606770431, 961482545, 648797055, 697751251, 1017354870, 701861908, 1553480, 334152201, 1021971793, 415864242, 498537840, 546154838, 853501995, 401462223, 323678176, 690051036, 1047183876, 59589413, 117861103, 1043512228, 281638933, 1061625599, 325745100, 627567437, 1018861264, 579997729, 558980491, 839716187, 1072031499, 733805880, 387896238, 443592284, 211221837, 256155733, 186201976, 744796307, 196668084, 352996182, 705494984, 502346403, 442229200, 663687698, 659522096, 251504458, 158813528, 103289418, 366518564, 194609598, 616133710, 254818156, 876934845, 750316078, 856088219, 396553277, 562785298, 52705025, 617919898, 399772442, 493081268, 916681508, 133164637, 288815257, 861047561, 261740733, 717719566, 619213208, 556127915, 783860768, 366294699, 114033863, 973284408, 747245116, 623533253, 285173766, 552199390, 694075224, 858276483, 206250068, 1065580862, 559746804, 291608757, 138387803, 620095224, 651765192, 830094089, 793116858, 935904455, 603217557, 633747425, 125541952, 31156698, 261469146, 435120038, 281295153, 582670563, 1030562834, 752273361, 515540419, 957643852, 798843845, 427313625, 43860792, 124793608, 665552593, 1034977936, 115255468, 987036968, 119453226, 427037136, 108139007, 670067277, 47032741, 368277340, 233649473, 544292004, 689677332, 921911564, 930660386, 254943373, 985057209, 730681427, 43055262, 29990613, 929873983, 200791036, 430851203, 491239336, 952313231, 701256569, 1047845966, 927114448, 76084579, 674198555, 212251616, 480993686, 110978978, 112428403, 765011603, 856611991, 950590606, 238479265, 648360641, 1048523850, 124534490, 493551129, 929614987, 613342522, 894462328, 558214336, 264919532, 527489690, 370911341, 304618764, 759122240, 586773723, 582576725, 1047006201, 243525541, 483536102, 771039562, 38125214, 401434134, 789247109, 894711432, 878814703, 898422185, 87781253, 605047902, 1052750149, 179064514, 80451734, 993623259, 342017524, 1053940686, 324429260, 952294989, 23618399, 1030465683, 617983259, 419623105, 86746289, 625961419, 331288051, 214426577, 1065988129, 655469555, 74459888, 576521520, 707336445, 660398696, 709121674, 57087008, 472308677, 320988619, 580103577, 1058655046, 447046135, 26922885, 204905708, 824024271, 25089454, 443547780, 782293959, 791415836, 379082723, 286336136, 634181572, 193399144, 374900772, 638545076, 719358261, 144466785, 661433691, 624358010, 958227647, 871170126, 661932187, 618332250, 567467840, 844464909, 561931176, 974071145, 465689319, 647222316, 1001588277, 1030099557, 454151454, 118491621, 262777982, 590896440, 312681950, 117721065, 395003285, 571790406, 637031639, 147263886, 863395836, 309921464, 294392479, 841713558, 1057038191, 1066814229, 928014812, 220872853, 994792008, 220669302, 434976524, 39288128, 81434681, 669574437, 393193503, 556735311, 459958670, 998767010, 841289531, 1035759161, 273437244, 139737220, 558255510, 611500974, 910673207, 518806084, 46934152, 481705166, 269411852, 361998489, 832021802, 1047944588, 859776408, 1026407419, 984814740, 946650205, 1027331719, 897451264, 410813342, 206294786, 193901861, 1035089505, 655464560, 727061926, 90945117, 558091194, 660541249, 288792494, 861475299, 955291677, 13204930, 145029717, 530394796, 329260848, 612276441, 592963954, 24814667, 230150732, 761972723, 831686967, 867360069, 581877712, 494801898, 776888299, 999616349, 589942532, 587651803, 903443309, 90211423, 852465768, 749165697, 103871428, 676415422, 139615383, 923042120, 1058811228, 1057731438, 565174854, 575727436, 702907028, 291873286, 121244798, 361418300, 913864957, 692517267, 390982411, 229618817, 894914548, 394918028, 908544623, 128647643, 37177771, 722455142, 359304048, 135647826, 668119073, 718216297, 167227674, 348588321, 308797728, 130626629, 969228265, 70283110, 218574359, 482503544, 664814401, 544913204, 840580236, 203357285, 24595812, 821692339, 180650514, 597693542, 495978760, 946635779, 397646750, 604373308, 965786282, 356027229, 781914640, 502930505, 675295007, 817982674, 754510245, 767176549, 193987186, 840756062, 174916758, 280712361, 167788438, 495823941, 216973911, 719480435, 896197356, 992450725, 24390797, 419433508, 466440979, 736560868, 623992862, 819953867, 664309474, 454500881, 756192694, 32812677, 741185393, 33078321, 902934909, 328762552, 145199259, 874547890, 1052370659, 706337872, 670265044, 1047987042, 145174869, 1029536832, 198166282, 624105698, 535350695, 742991369, 64605421, 749425202, 60383394, 730413904, 653232232, 51739257, 411204193, 91759623, 272557809, 179908432, 770345113, 356718038, 731328671, 554350039, 179931671, 236880927, 205853805, 21213783, 548102137, 806779855, 893025077, 266319463, 75131963, 331506724, 87704253, 618023253, 536209103, 101747879, 840280829, 963368027, 437533485, 320173926, 1030773773, 402031803, 592438827, 62044265, 647295775, 928627618, 1038777971, 444661505, 809382265, 427075463, 101260041, 959235550, 1018447256, 581589943, 243042999, 938506250, 272067784, 878408099, 695061874, 962744551, 163393303, 993223282, 871875135, 79260653, 905974479, 877189934, 524479720, 242893538, 45171250, 16760252, 968866487, 481129504, 189668110, 738236602, 325197109, 767518331, 467888166, 352503302, 204973344, 333683158, 797119132, 919889419, 146425396, 33807460, 726837057, 55854142, 427552105, 912257751, 737213560, 538401848, 1036637229, 1067875052, 959534267, 28188654, 101677935, 749299100, 42867485, 873979023, 41627544, 116208868, 65857851, 274031351, 560653459, 484958204, 63815641, 575114660, 569292171, 689318412, 320702753, 687849652, 257179999, 1043242386, 822744048, 343424910, 988092587, 397742329, 116520382, 155422218, 43408632, 325241195, 505285383, 660223829, 194587711, 67286697, 528163885, 616168604, 8337737, 331600093, 71333908, 362653878, 385802152, 66020936, 514408951, 179938978, 208193319, 902600398, 357757737, 866096866, 714980618, 748832552, 532614811, 392877501, 549387994, 749213648, 6358017, 434841893, 799550212, 430058219, 911152554, 147194846, 316273818, 963522338, 818107894, 845005280, 650073152, 440468677, 764139766, 1010510583, 859018019, 1006185788, 230271364, 208315317, 891667990, 465443431, 702682311, 943489072, 32584745, 1010760168, 879263499, 500803022, 328586870, 768471043, 405911981, 849024694, 844033837, 252066524, 555567280, 118078628, 623971533, 317323335, 820983867, 514367675, 741106030, 521296063, 447816431, 535973952, 47419690, 640230645, 204400904, 623110734, 40778556, 245892059, 646270005, 63911068, 179822874, 688686114, 128647478, 743957072, 415623216, 14027431, 598786292, 422972027, 667897281, 296427906, 675320793, 604977490, 781166902, 608068407, 101887248, 720658336, 855747705, 591763002, 98326602, 130171783, 11212233, 620163570, 802668031, 954401494, 3095955, 1060902940, 93625557, 740664139, 756764903, 1055571871, 976851725, 757377995, 104973037, 451480991, 197886513, 296847512, 617025655, 942062365, 857981092, 763451668, 1030178260, 701217837, 207638253, 60856368, 1065889892, 956996008, 234558877, 257150548, 654808485, 374649214, 1070471452, 972132478, 799655859, 784444730, 76798555, 1036672281, 544439862, 18838596, 909750281, 287448102, 258852536, 640022888, 671687254, 717076126, 91368581, 52177976, 373201787, 887293425, 447548464, 864667748, 219449547, 1028633694, 925888131, 77004842, 49646702, 21255495, 236947607, 522657709, 732582711, 539746780, 140207480, 836623724, 887519478, 498682243, 1016719863, 657409366, 482628836, 897489643, 740063242, 719926005, 800098858, 91573913, 435768079, 1019474059, 965435858, 533576470, 948206377, 914962835, 951261569, 234600240, 756167071, 660581436, 125825779, 305571936, 86851342, 326551762, 563291780, 780839213, 54793504, 259010384, 416527864, 171700130, 209476329, 759820134, 983844513, 178947528, 245035731, 506539641, 244087391, 1014220649, 847900095, 665134642, 650938188, 254905874, 88312044, 62439195, 19608882, 225123691, 888409942, 882834058, 666138430, 1071991161, 6697102, 508215631, 746004856, 231760307, 472109973, 526274858, 581577502, 256357937, 917879012, 604483614, 1069132991, 717499901, 771711176, 729350308, 115458178, 98423331, 858357427, 795363858, 1070699284, 338212858, 631955954, 994838408, 627477262, 657496036, 697131361, 827153226, 441710106, 351874950, 343438495, 1065130816, 195798835, 425331022, 209805267, 157040488, 495361289, 771953661, 382136235, 137515460, 1011917989, 808529300, 889077408, 355876877, 580442133, 22630211, 508913784, 305519694, 269127658, 104028217, 347046495, 795904487, 539843017, 447813030, 598022305, 444725935, 852574851, 240828692, 287749014, 215042747, 110315027, 278563397, 414883897, 937407499, 585656500, 200460974, 607385731, 839613421, 731494815, 362182632, 409560016, 291910844, 752122546, 873793552, 563002089, 552096457, 469154558, 764226548, 952544370, 938761411, 980154295, 1051229870, 902374521, 568503887, 303120579, 965327660, 325662466, 870587466, 384867078, 613996670, 59038048, 799303759, 276629704, 400462693, 733341953, 559152492, 594933448, 342523876, 766828090, 779406492, 123837290, 1022524858, 404490756, 734419069, 789394303, 374616894, 825619812, 1004498427, 810642221, 951294793, 743136741, 417416725, 449720935, 939094563, 359036982, 318171844, 237085061, 547067898, 259797526, 944939662, 409559139, 987357920, 114261035, 1023533166, 477808249, 861765434, 294034197, 110443864, 5444822, 373369663, 958327776, 387006520, 660233232, 235374393, 417284887, 59788122, 691863947, 1005659231, 307235333, 453853624, 536996261, 204537325, 226788154, 1065397727, 895166250, 66003615, 938541246, 193489213, 78316146, 413400065, 690095156, 610086498, 453600351, 581382302, 1001955412, 710212055, 107463504, 119789729, 433695597, 1031351354, 527607214, 724151364, 732897183, 377725118, 412054718, 471418096, 683491979, 362886985, 788568215, 414121844, 585500429, 129109621, 474211621, 740794464, 696700514, 350731636, 43268276, 706057291, 665788457, 361088912, 128293589, 666425692, 579747248, 351338893, 923731474, 616054150, 132975329, 588147068, 678853755, 993794578, 979165686, 220951603, 886331757, 785050140, 466196440, 605433957, 473408155, 6458464, 430697760, 610042349, 820092189, 85730382, 966529889, 272082378, 261432359, 771195316, 156796094, 393728640, 648389976, 135241187, 677203712, 64910295, 367856493, 911729435, 628116611, 401598179, 63187150, 23865571, 465348969, 243299977, 1067063409, 915324665, 1023689563, 260512467, 436425636, 779700279, 143087763, 716121735, 960414898, 341585470, 411567346, 1008216408, 931974961, 635914064, 317061446, 495186806, 1055300985, 854042186, 525036831, 805384192, 15086711, 700839866, 1004325197, 739149011, 667836874, 228999805, 451064660, 97303371, 237828822, 287854335, 788125340, 37726437, 882992725, 247776219, 672374479, 602842744, 522535146, 36312351, 427823486, 957279843, 354105345, 290056224, 161390765, 503880526, 158175472, 462678393, 1419946, 857905246, 8921753, 25093677, 350083704, 1065997690, 730710694, 253566963, 682184746, 384665743, 426516907, 541600329, 961325856, 275199871, 394192769, 1040267113, 186474336, 526959718, 577876282, 1011800526, 334872142, 519791672, 465847733, 231220867, 412050070, 307140762, 414267951, 902131321, 382709602, 1044161684, 929983264, 464911199, 1027420261, 152633444, 941406406, 900555499, 375741091, 749365584, 204726892, 763471817, 906318645, 250354716, 634620085, 592574658, 291531433, 137779513, 247849575, 548547466, 980212220, 994873327, 466257338, 259380742, 44696808, 532606474, 92902904, 984501374, 274994760, 410567481, 884451672, 108309276, 703062465, 22660326, 22531037, 423346230, 573631383, 648970794, 402805765, 49003316, 808703706, 381085708, 54528526, 170915249, 559400519, 1009800131, 606512474, 510364275, 608054863, 341650174, 1031112344, 982374137, 967137480, 1056711593, 268583202, 163559782, 420162322, 881421307, 665444002, 267311954, 694906585, 635494612, 712971372, 813079887, 221896825, 329746548, 755524738, 275701664, 865231056, 895786167, 554500778, 160061654, 812997908, 988601630, 978485656, 635698849, 526439411, 441131797, 955736824, 683695262, 114953765, 58626493, 1007323911, 705287599, 399478253, 685946380, 487621365, 10585439, 409774242, 762792013, 589705095, 106645509, 676558568, 1038545552, 444693129, 1042551888, 50596178, 1049937926, 732136006, 408798498, 507161643, 690756518, 6185063, 225279939, 554122290, 947238240, 445311170, 50021811, 267069879, 15573038, 451912078, 845556417, 407645237, 864010212, 289648864, 165843118, 644383101, 424639970, 191114667, 721278336, 580202886, 837561785, 925800910, 864473027, 489328349, 321253218, 826555312, 790558215, 568964393, 334268294, 534683369, 911591422, 841130253, 66838438, 437187520, 290217863, 729125749, 616164980, 591131166, 683906212, 550730349, 413212999, 63420616, 985067090, 962734983, 874467612, 316657410, 1051575928, 873277656, 1002660622, 401131485, 641487636, 128022779, 375548919, 928025060, 621360182, 843160659, 647947913, 1066897619, 925501011, 238049161, 897951797, 251496735, 1011041014, 350486393, 440007163, 209554, 727985172, 858934294, 884787993, 126370612, 137595297, 40525286, 781526520, 224681168, 409083563, 317052401, 219718953, 267568601, 425023986, 713433669, 912262346, 367490639, 144553434, 85111003, 949031346, 441154248, 445196272, 620810582, 65667986, 200503829, 464857106, 981133682, 34913131, 463516306, 771757645, 318949539, 100924200, 202111072, 586954034, 758854465, 345829017, 291503058, 771602295, 495367635, 236272748, 478930536, 473354013, 76718130, 919031109, 179742103, 739774574, 1009680134, 57197457, 141123382, 904006579, 191153761, 248458259, 75133701, 981708326, 437436642, 83311270, 926193629, 33578777, 520446554, 636418579, 900657104, 165953344, 771033037, 305768809, 233932774, 947952712, 946806380, 838611220, 765960782, 207949624, 430543857, 928286231, 842733368, 263513941, 604029844, 738258955, 1004770439, 989578813, 682414452, 126953012, 527885564, 745993956, 333731882, 591608307, 389240811, 804457774, 275273873, 403308544, 834073524, 600277930, 116184400, 189904096, 643655931, 811287011, 781486903, 550587559, 700285979, 546646989, 957481628, 280324513, 17450951, 154906365, 22734383, 336519564, 1036418961, 207921531, 256440325, 725987047, 88703588, 234711225, 248971779, 552326846, 156802622, 270712730, 1014978486, 405718959, 995028319, 828275082, 649278169, 436551680, 642392072, 972483444, 502396028, 722777805, 100826366, 967647437, 754283201, 755727949, 561678690, 101492397, 1059695700, 1020360132, 934300714, 1043836085, 390151893, 846551154, 726067137, 236222059, 385009812, 353010810, 431041585, 989776770, 161584923, 244207207, 445570292, 198085029, 598503904, 416554169, 752645426, 252267249, 393577431, 53961894, 571167704, 239684246, 734266492, 1042271466, 520367108, 106550333, 793877728, 553745032, 903309604, 198910099, 954500341, 620268832, 1041039298, 885754759, 431450144, 578559072, 1033574779, 564172516, 652790318, 1008519529, 518085792, 314932422, 421611041, 765349438, 932832348, 91508851, 790716758, 809806642, 342870066, 1055204802, 345627689, 119945817, 574102143, 414235950, 359235479, 180062703, 335171713, 245184947, 706646418, 802176793, 349344551, 776787152, 1006597817, 612803966, 696187464, 668619370, 1044614403, 737734142, 183843757, 974200978, 127768564, 996982755, 727921253, 912742880, 952848192, 1016911357, 490113345, 279971670, 252036672, 95618576, 643660682, 1018019094, 484301103, 814128119, 982708015, 915131475, 957042871, 564102975, 440157088, 468154394, 747589719, 588751800, 816941344, 90441977, 128550095, 597518857, 656906188, 507765164, 539864787, 273262590, 1014817849, 181918814, 785954362, 599114890, 193366535, 785549718, 165345931, 612950374, 237797564, 69508751, 361633104, 421191947, 829138417, 171871463, 611485940, 362298449, 495772731, 48540383, 689662473, 877285775, 513876808, 909783778, 978055000, 709766115, 1073476253, 63487567, 457401356, 551479896, 750405656, 757241660, 925569493, 365969881, 769898532, 59140675, 755526769, 892108290, 285820073, 1041132025, 10947267, 730959460, 493341474, 495301177, 865682710, 8427811, 984366431, 315084447, 762378348, 340481178, 694197124, 738306869, 369429712, 1041844111, 522657914, 292418533, 834491538, 293473843, 133977678, 131896713, 693009737, 453716209, 120848714, 766768647, 235627308, 259948741, 910180454, 258672402, 763151576, 952856125, 549214442, 318156455, 371635292, 340050237, 64286566, 771261723, 74616473, 522431842, 412737169, 1058007112, 226576805, 855402583, 560445974, 632977586, 188039510, 860512971, 991508190, 539532181, 123469502, 536770969, 540844282, 218981528, 654975705, 1006129488, 459698467, 785757684, 23250173, 260878371, 509176425, 157609012, 41595450, 736475254, 189367194, 731673636, 23266007, 1037240453, 387988397, 28529526, 1017647751, 606887182, 230895595, 186529436, 369117388, 323716108, 956986728, 255964536, 343616451, 274724386, 809370712, 461325264, 908244432, 460513704, 321460756, 927316203, 549043310, 679376588, 839197480, 918308112, 67647675, 465080515, 1062196248, 343080724, 719214571, 628178420, 325693701, 111797401, 389582628, 200058816, 15953235, 645176902, 1022385215, 37888520, 944709216, 179998805, 491215249, 1036174277, 864456999, 236221171, 453617856, 762995978, 955679645, 151290322, 575163804, 974524027, 773461184, 909671330, 298380979, 799429843, 926709379, 781467582, 998425519, 456060267, 82433884, 38589485, 265502332, 700423763, 212105227, 967452113, 995429168, 987172165, 818521511, 303559037, 230265628, 325240259, 579769372, 713096756, 556622139, 249760424, 180356962, 846820929, 658137882, 740093254, 425891862, 526896231, 960740450, 113685623, 639463365, 992812675, 800728440, 472204483, 636971066, 899678252, 988046814, 171695490, 87878246, 367551565, 392568668, 701498664, 273628277, 989113913, 112483671, 271133803, 911263885, 32016934, 347390325, 674258502, 729923398, 480617888, 497919866, 96929537, 99044440, 777061652, 687815189, 289707307, 479438114, 135461921, 897776890, 400366985, 1041271453, 167249995, 671083595, 34198, 451017474, 993698731, 168126605, 60469517, 949983280, 105603541, 894609240, 204841333, 126761301, 244556769, 449802131, 779375774, 578021938, 1011858755, 278828661, 396573062, 816675337, 316810617, 355255408, 586312757, 199797824, 809275129, 854774443, 248667170, 169080251, 1558014, 83201928, 940118789, 480171409, 171261325, 159035647, 592419104, 89864261, 727614978, 641378526, 365169556, 456913856, 68202028, 134456390, 1016352363, 719623976, 260222736, 773238008, 487665606, 488311020, 567991658, 371414432, 404897570, 525465428, 793828908, 76258542, 855844575, 922466925, 201277422, 1046261414, 844085786, 287014233, 551013719, 454308682, 158526004, 324291964, 215196282, 370742358, 1068368320, 271936494, 248173402, 712617889, 378546114, 16076889, 236957872, 679505840, 814874605, 408462701, 170961314, 198604347, 691448387, 240135704, 646379970, 924847291, 196899794, 591041506, 208520267, 251392449, 727767845, 594783326, 703229696, 523554596, 975763008, 328563457, 214109113, 579702136, 449265012, 880185552, 355725468, 544700437, 240261393, 868369940, 786291046, 323709756, 1042311900, 110247197, 491685440, 828961821, 921213196, 805249026, 842429192, 143093133, 601818014, 175638738, 1006973377, 1051884340, 263904787, 826125482, 733586502, 1012350076, 623725421, 739900467, 1046215184, 813409440, 227449894, 647795549, 648309812, 926300058, 955418529, 994436161, 988279958, 531907944, 906306677, 661554505, 314365263, 23256684, 138789123, 385883050, 889278000, 576700706, 555115263, 872474748, 993108952, 441690740, 648239212, 132623396, 964618691, 193403539, 665016293, 369210970, 328581284, 261226374, 207322531, 484187359, 254766647, 770126681, 611439056, 1034931349, 179139670, 657029053, 863711177, 1055771063, 717229570, 543412094, 91615903, 886543924, 836374100, 116879164, 493277130, 419755636, 923851876, 583049076, 454070464, 375165868, 81308325, 917338149, 663493132, 396936679, 712576180, 267043432, 687357517, 863925695, 382594874, 1066682313, 453435946, 588284528, 911872408, 996291056, 47830910, 269841110, 20610356, 873724541, 383039926, 994335603, 631813985, 342189442, 223020200, 286217039, 578671582, 896257375, 168068466, 285121643, 622134446, 330916174, 936892762, 759409001, 737219302, 241933473, 821545982, 550113919, 569115393, 592121590, 881593749, 947234974, 871190320, 87627560, 433542679, 11909147, 821972254, 727409287, 898442305, 465148830, 872256542, 1061707537, 894567861, 553862998, 908877987, 123857442, 877505811, 569689846, 147888322, 997704031, 969990110, 779907253, 506808023, 591587774, 799993530, 1072218463, 149075035, 516308128, 606833368, 231614092, 625169493, 192527848, 295649385, 439585376, 693854208, 420447484, 665895033, 224390029, 767908740, 322961409, 424658327, 356693343, 431017613, 743292595, 1011545276, 448020590, 167810218, 1043068759, 70253782, 669916888, 523734545, 202641662, 847272226, 591619025, 461085567, 674980523, 619627040, 414708524, 804899305, 682313635, 855634049, 1045477461, 86327104, 373099999, 522902698, 330754763, 103442875, 482921071, 952493551, 220563063, 440600024, 203420770, 1034720683, 183085552, 197397669, 758479496, 251030576, 143252642, 347232878, 920001313, 428687505, 446724804, 314615697, 54610188, 863709475, 544998075, 716541386, 667971281, 288495903, 114650683, 473031468, 167723741, 237299715, 250397719, 856902140, 1034539768, 88275089, 808781678, 553724829, 169963273, 574819763, 276972183, 918680645, 311302485, 359921673, 558716351, 17578798, 329160826, 119677917, 221560625, 83046746, 83882908, 815824672, 811706427, 783287595, 72099298, 514333130, 623797634, 520697525, 175519037, 918184587, 1050903886, 625026973, 35297572, 203664941, 246901702, 435968073, 353552381, 817082509, 800199892, 457076311, 838089532, 333149812, 1015488640, 187039817, 466619290, 198187809, 628257612, 56560279, 204024304, 803370151, 752080500, 979781012, 212968642, 113517685, 676033789, 593096410, 239011948, 1018640012, 65550939, 978351770, 369565501, 460167819, 740846889, 650466141, 302806531, 779616058, 889863535, 467324628, 177606215, 246285495, 548075053, 383960989, 449416901, 802375652, 1034873313, 116330963, 901804233, 938416975, 578071710, 316000686, 694308196, 476475564, 954150064, 320458611, 282538166, 388114466, 859103054, 717617996, 883912386, 75974555, 863694882, 781586344, 526607633, 873098215, 526806629, 96925675, 318494760, 715062273, 245078658, 298692122, 303984485, 306781920, 766089535, 239798416, 8009214, 293006329, 270339142, 222529047, 524939673, 1056130759, 941338885, 572970400, 839169388, 68005408, 3171024, 443667024, 668782251, 1058311860, 972137642, 387413019, 466849313, 836255633, 773857247, 307142817, 693558506, 1027173610, 47461444, 765908301, 252724842, 363401804, 487325445, 753102943, 78551002, 542105232, 243887142, 185100432, 1006165114, 788725168, 51616447, 353181704, 45062248, 688861755, 6947849, 920825330, 735740857, 965739309, 989754950, 765647578, 636621152, 767980192, 573587323, 954233292, 760441457, 410120279, 1024897831, 180806820, 392503665, 163219685, 668001146, 245492306, 953121562, 154895623, 775543219, 507044267, 500367470, 95818074, 304196857, 233579653, 847186888, 1007976110, 75178302, 1044972330, 610260740, 606148549, 358729894, 1058771855, 107934987, 93100823, 1053915013, 374329601, 448159984, 1048601700, 765271656, 925847375, 623949831, 852685151, 1024723264, 543031904, 489459100, 714327288, 989365732, 945563280, 705658514, 214846370, 923696468, 626027707, 807536146, 338971204, 70208130, 362911728, 663202116, 319333890, 274199602, 816413267, 1002544878, 360866414, 875787104, 471731628, 926951268, 632301991, 860953455, 696521475, 22282346, 388628222, 606028045, 459880469, 952110699, 938491351, 386508487, 137891009, 462113693, 1056792717, 279268373, 93584744, 564277744, 517965232, 736242749, 315887463, 330809435, 215598794, 569260178, 769428612, 250155505, 290200376, 1033371924, 1054527469, 718344048, 868805766, 672370067, 339261549, 532251204, 125605789, 875617816, 746381362, 613710664, 106665704, 820411075, 472315579, 74346558, 350120734, 253581886, 802954147, 778536528, 1004305525, 146541398, 146911233, 848954392, 752490073, 144565194, 257840128, 854219613, 391975787, 1073556638, 307808070, 698179352, 87071548, 375058834, 505837667, 548237845, 151945179, 953528844, 685289940, 125697027, 980476650, 726812017, 800239610, 876177562, 871037415, 378191747, 644858143, 683876118, 621630326, 152259177, 746098398, 692228067, 752332668, 598268134, 391725866, 366844020, 82908276, 787601303, 982540244, 173256801, 181636391, 299523732, 259980726, 235437270, 398120490, 856089912, 43220535, 333261701, 12839594, 95658120, 1021840770, 94403633, 915136424, 899074925, 693666366, 889471762, 192412668, 985580174, 276146994, 464046976, 435675063, 1046884802, 315873640, 257258087, 901583221, 441084068, 628953026, 141625165, 434057225, 735702915, 552244639, 702835364, 503892858, 943064511, 150443678, 238429419, 824342718, 526106989, 138709701, 595442234, 832072260, 690692262, 53461417, 115715064, 926638235, 634687563, 147117554, 92048374, 353803484, 936171159, 370033267, 107450514, 532151825, 284704388, 784941938, 971458399, 565965143, 543521395, 714782661, 161114236, 984830981, 557853805, 814394402, 193936328, 189150144, 251720920, 1063599967, 665394940, 100092057, 519335719, 44065495, 52342891, 120528325, 97304965, 641194073, 727968298, 266677629, 803569211, 201638615, 1064854057, 911465410, 21475072, 451727195, 1064737373, 972997566, 212473126, 170423038, 376697688, 990914774, 168804020, 845679654, 546284026, 926720679, 1004285391, 132635720, 307316459, 237598379, 529078106, 514891386, 188099787, 524132476, 608147170, 1043755994, 846168626, 173804448, 879259625, 510390507, 27317688, 86914325, 160718752, 420027245, 813872790, 25945088, 291565329, 134585096, 628509848, 665809504, 315649940, 622677100, 122535342, 161577011, 267177696, 446714775, 550214405, 304611268, 899870734, 907297901, 80715365, 1007582628, 562720014, 897105095, 388378738, 115367594, 715289420, 161080851, 431145444, 73147588, 313152338, 12321663, 291566374, 911233276, 264663396, 755240628, 639837883, 608239874, 39580187, 130691078, 738209068, 23505621, 616585083, 654520134, 488438680, 162836057, 129341198, 885285519, 39387166, 895681829, 151143526, 795357599, 425666148, 188406222, 199347026, 163315865, 290329278, 910338836, 391111426, 295374071, 558713644, 54735594, 332455341, 800569124, 1030270241, 962646545, 627430377, 498953068, 784588416, 403160642, 1045223909, 582537775, 185297867, 864174198, 272293550, 1015823692, 899330991, 327778046, 856117229, 870590067, 493066117, 125779166, 395746683, 884324971, 326657181, 351495183, 381428506, 812305416, 197447953, 383988548, 618668756, 894644175, 1048253181, 616868313, 35585682, 552961852, 253162659, 935749024, 772562897, 880357136, 51217128, 82743164, 946942924, 253965905, 633879104, 498128918, 657407935, 474985560, 557722586, 138758289, 638928686, 734495649, 885113922, 845979183, 220137765, 684741852, 686002157, 920446349, 988246024, 433156668, 310660534, 370054783, 182698727, 172858363, 949419316, 670173932, 257688337, 553836602, 1055951133, 391335546, 580081580, 594399588, 347797166, 5683395, 273347696, 723749102, 559585395, 90856128, 357566895, 404031413, 676555408, 829090188, 41698109, 474220767, 524154816, 256883576, 407730275, 308785717, 910621231, 24580909, 288445679, 921127891, 967184396, 186660437, 968466442, 64596397, 1065695970, 458975650, 27053991, 1060910718, 409117727, 185259597, 284164087, 946530919, 961432142, 952492112, 80290109, 487758920, 507183559, 234481767, 211545295, 87928824, 697558276, 154699632, 835634376, 966499864, 108117039, 360743501, 991121587, 286816832, 1056130145, 996681092, 74348163, 321807114, 351791261, 592046255, 443623012, 241041627, 654984, 491810323, 69303386, 317553965, 462331708, 8464999, 193936644, 299306518, 198962616, 619338440, 875266435, 458681034, 318035540, 982162383, 532812080, 756658552, 324086301, 460411677, 104027349, 727291908, 176902098, 941835996, 386140067, 964450643, 520114191, 782272298, 597079615, 352318499, 738318616, 298109027, 1030542331, 324792630, 1014018462, 755965165, 272678817, 116251764, 790721226, 648539574, 331343378, 951885322, 972239592, 649478543, 383545407, 619231370, 532947430, 676606502, 193774502, 778552998, 646938769, 318850840, 251821656, 269383092, 353477007, 470400677, 673223143, 212202637, 252553901, 682604202, 1037309131, 12953647, 712412966, 138352370, 148085399, 1052248457, 182611465, 756552000, 867512593, 141714815, 392973380, 740338722, 746135475, 1059288444, 804766309, 806451942, 484969980, 58360906, 1028816025, 834738655, 68689770, 79422870, 781620163, 275642287, 605304535, 202889288, 794083874, 867723510, 120443591, 665443451, 847366883, 248847404, 448445087, 464092446, 251730234, 298429892, 248405618, 1068663846, 521143883, 153878218, 107455414, 809583202, 68373980, 987794023, 972370138, 62184343, 49090596, 151247854, 724770642, 900856138, 660694965, 778114088, 833483658, 803037546, 681981300, 140597732, 44465940, 64196644, 147000660, 409369168, 227213624, 698005735, 870456837, 908615424, 296053464, 936685433, 890135320, 589471138, 788102474, 371347345, 891181266, 712391167, 689709774, 259208535, 414263580, 842089497, 880678105, 832534069, 883409372, 149974443, 580272079, 395601144, 80459302, 413752431, 429055551, 881538288, 493888450, 483102038, 1065380585, 873754981, 427391532, 146969197, 182717501, 576880205, 792366187, 558858458, 359767726, 420322565, 1003870138, 282981456, 914957259, 832556739, 302690349, 920481061, 744985887, 661295669, 365648540, 439875984, 686100015, 195577544, 689511683, 558150513, 958085190, 786106581, 466994268, 7787064, 367169428, 552708987, 100658661, 790207155, 300511305, 906824353, 27548344, 984974411, 701159195, 255509634, 1052193434, 510348137, 761469192, 1020679575, 418652643, 409959989, 410372098, 1014456654, 735629073, 2260495, 727680137, 319805566, 762493884, 156482273, 979877037, 252568211, 2180822, 885514186, 201605240, 720743025, 478717516, 541385080, 1063260813, 196849913, 680371745, 205962797, 875135531, 502278848, 74405453, 890503747, 622995780, 410177859, 306889867, 466338956, 20026883, 685304997, 579948758, 195417101, 78572613, 310062671, 822322032, 914470583, 261570730, 745291129, 983292306, 1057217098, 492415475, 465614911, 859533426, 1001350312, 562116242, 749923396, 736651186, 968691971, 894300136, 108285153, 125697786, 625947242, 853155759, 754794696, 1024060799, 74811265, 615527432, 607773356, 933866861, 620283740, 528861240, 857364481, 107581748, 634807352, 613452267, 718469987, 923495682, 911883318, 299858833, 276038788, 815857673, 883689028, 607928063, 648901766, 1062219430, 656025582, 989172494, 313261120, 433480247, 623019518, 981731742, 527242787, 362807918, 534707776, 459984175, 559547335, 623124997, 779974778, 939989334, 114511761, 162950851, 47293641, 829374263, 580866091, 668653540, 985047367, 895866866, 544514272, 666754796, 133501360, 686776359, 1044205773, 782495885, 472440745, 761793609, 6647559, 649142755, 563663126, 348770104, 852836288, 269629158, 577525797, 391096999, 38927186, 899497984, 953950498, 463520856, 1060328205, 639239726, 379428769, 513199256, 725998546, 695623534, 664168871, 168243963, 460158506, 969263732, 495770564, 312781360, 352989210, 970211212, 147471504, 740843646, 429196783, 6834342, 1031277527, 738827347, 598442499, 845371836, 983718930, 925328711, 223450707, 642312559, 125393921, 444962144, 1023849911, 964185259, 654329611, 55309883, 108736408, 361434344, 744387559, 710530221, 1008170459, 231509680, 496242436, 920780186, 584723707, 367211747, 795439677, 695131140, 257617337, 917645287, 287016241, 339002021, 710078658, 239883103, 908409014, 419989596, 489433827, 533179310, 891718373, 1052235948, 894574158, 888076625, 850804592, 911549230, 783405272, 1014598107, 872254937, 518791072, 420188566, 19479616, 775378902, 486471524, 146143212, 712927561, 300907060, 1066668574, 405348569, 963992293, 784650436, 889191599, 596532505, 214661888, 540601118, 634208167, 421378700, 685330389, 879208674, 844091990, 180545823, 997467056, 1041973026, 775915665, 776022834, 783239714, 19180828, 476130927, 218954166, 444031155, 513032801, 865357057, 1052760881, 95042009, 451423824, 781972332, 708477006, 551922238, 557365670, 308964006, 726905817, 964856164, 60001194, 8506212, 138095054, 706433255, 77488457, 486312941, 893135647, 733472141, 152367888, 837652799, 766821880, 276660556, 796341254, 498860360, 378936255, 777782642, 682396776, 784624160, 906419817, 52294311, 912567755, 576560153, 797204981, 182366405, 509540684, 759202193, 63007003, 465038427, 263296390, 536907801, 282291047, 306596362, 655439239, 439051958, 177161484, 202747193, 121515388, 339067072, 632838823, 424008518, 246867823, 999100459, 44516560, 312869347, 1027459569, 44269261, 720859149, 595639166, 868188489, 36898737, 341370295, 1065793247, 1042580461, 385945466, 560343151, 873906037, 213631321, 360670905, 676743345, 753376590, 723722625, 850550275, 616043406, 791002082, 358487984, 17379673, 156272651, 880670061, 1020278583, 786699080, 552957902, 205888395, 522009774, 455083682, 394160843, 223186324, 33320432, 1022792918, 780765078, 235042803, 796080666, 946741374, 439044352, 558017160, 902357686, 709524979, 145640691, 659199324, 176577140, 1037477264, 213312116, 270388115, 486421781, 468195520, 389405330, 46160546, 525698507, 578311104, 335302406, 116736899, 90847445, 646206862, 35761920, 547027303, 1046696211, 1008500870, 588475993, 430091643, 899710415, 27194098, 95995013, 734263153, 413285991, 565638035, 1062134923, 437584685, 923656708, 688907167, 24469391, 968452501, 424784451, 386709028, 944093936, 261577750, 690929775, 627898560, 328241837, 466034044, 309256020, 34978661, 885186931, 638746204, 583887725, 870396115, 134459623, 851460403, 588970675, 697626798, 596539975, 1016750179, 1048819467, 10013004, 62893839, 355877875, 833989629, 123344834, 696207696, 153142812, 642618168, 948795189, 617694829, 745474592, 910564568, 780661924, 534486972, 60304667, 290113124, 458283019, 962815386, 1040463286, 499519511, 11045265, 77669682, 523010889, 270391103, 721797667, 368213511, 677341499, 649571988, 56521551, 263690198, 432116109, 57715846, 402424712, 767122079, 1301334, 288423072, 335640096, 488138992, 989364405, 536694523, 718882729, 190237266, 393613441, 743348994, 699944320, 854981045, 470393135, 980088527, 354952740, 189167889, 704353636, 815180864, 328143164, 120119376, 106586685, 432043324, 806660356, 661851941, 904376959, 242832861, 693323127, 945451841, 420990755, 310125484, 1060641986, 460579845, 171638823, 436904492, 850115327, 375447712, 542301690, 301302408, 627079387, 132369646, 507213758, 999527168, 974931732, 655549450, 436704719, 131093789, 360414156, 280236822, 1062327997, 1017683658, 10445442, 932883807, 939025148, 233205307, 1019164991, 767794974, 957705741, 718413862, 943536796, 672626151, 685008677, 903348256, 114084196, 409774500, 101369578, 232238532, 239623255, 373671970, 901215395, 283348006, 56158198, 964491841, 99820912, 837990692, 200197842, 194523044, 551899205, 80171509, 1071617409, 125995172, 809135311, 7533378, 243309173, 776817563, 11013259, 29250392, 900990335, 291941514, 768850341, 60450808, 120884575, 1043273812, 466543590, 540170499, 914561335, 937420021, 672362317, 383799570, 662009305, 966939243, 515099854, 703452342, 135274730, 371025027, 528401039, 754286364, 680926072, 60556647, 721444898, 577035566, 190214476, 152713427, 51990388, 884290944, 1003985356, 939616698, 724204632, 18476048, 978422496, 891387527, 939906991, 280687069, 639804031, 29972358, 460050630, 960848537, 251263131, 321565171, 891562551, 801380412, 42102832, 770842448, 317283429, 673622032, 749065946, 755616360, 973527516, 864519742, 227651057, 89142456, 730761529, 427455975, 155253716, 925375521, 687301877, 70826660, 741623857, 780105140, 19872926, 282887711, 681988921, 149493090, 492673795, 432774798, 577584048, 307594296, 15625936, 397179016, 451133999, 15718182, 674503426, 909416390, 384385789, 882194111, 887395672, 1034418237, 260265157, 242854004, 371060984, 832778710, 1058910408, 321921616, 186524748, 970023821, 328486844, 329329958, 464141626, 806286072, 798872471, 181155405, 1029843252, 464273460, 210829890, 182727589, 42388330, 856149408, 986420401, 376905201, 777777118, 338815569, 224993021, 160763271, 742475398, 880682739, 800764776, 722856461, 236453479, 791403214, 649513217, 523513775, 475256827, 647739613, 457691839, 702447930, 262772790, 324659726, 717001597, 427031807, 58798964, 598609746, 243165841, 224402313, 714417081, 284562606, 855814081, 98379162, 35460079, 198862315, 563727984, 808581673, 1053253532, 450460052, 933259933, 482988495, 920137032, 82980446, 367476360, 922446566, 995564826, 765730657, 262823697, 582215185, 716987597, 858997259, 706131125, 3828831, 513537260, 349425893, 1017035102, 1048055123, 686712952, 612793098, 636474961, 467306357, 898959912, 916677534, 224915490, 376425425, 169556083, 806868895, 856030421, 672029132, 1023662482, 893976983, 1013198392, 379342285, 312796313, 638188264, 492365414, 972954370, 850383061, 181495412, 111508082, 618487003, 702812444, 866523176, 201754122, 422210120, 1043257765, 833036336, 435735822, 720445159, 840206820, 824385455, 745101928, 139463401, 565845597, 251337854, 662612405, 639651632, 933542014, 477222976, 672258136, 424274820, 901252355, 12811910, 1000041530, 804920394, 480694120, 590169418, 1025804951, 512546285, 405360944, 665953207, 528157029, 1063471163, 919246597, 426268149, 775198306, 197770368, 61206208, 405895237, 144444931, 560258596, 115038133, 488611320, 907801768, 548975962, 91266023, 25064931, 369841311, 22187397, 291492389, 140201810, 487908052, 419189706, 902548722, 445239675, 240936084, 809131842, 518427998, 272821940, 969823309, 204539193, 143856263, 720213211, 241272862, 1004574166, 192096818, 554088748, 18135191, 32214386, 704486290, 301988140, 287387705, 63605990, 293950864, 11190948, 308066376, 415907279, 164712874, 618164379, 696729410, 805842240, 976984323, 869055221, 9257298, 701141617, 969525766, 560826928, 342606162, 927839843, 718432531, 822138067, 859223328, 400424614, 1049955707, 564148166, 937124953, 1040837396, 859448834, 715170138, 668868765, 746336354, 126307923, 585880263, 989466989, 136886850, 419153882, 307322178, 847249381, 209434903, 811959961, 165934782, 223050683, 507344569, 920719919, 266249216, 320743614, 95518805, 778018336, 919303464, 647455628, 29219858, 94158183, 922151380, 466043908, 245448601, 92633317, 634913974, 621207204, 649520429, 125774629, 225401742, 557231408, 290827426, 684769538, 652388584, 552280534, 150566143, 547891356, 595412220, 993659821, 510088975, 689210367, 759155956, 71523644, 553874149, 282596, 36284383, 263639754, 854694124, 316907045, 1062956512, 917046303, 163027008, 692179740, 703488364, 959427494, 655115590, 545030231, 618736400, 384351252, 436148725, 919956154, 35995420, 176784408, 456410552, 1029176247, 858433514, 402321993, 928192432, 308317520, 81905570, 471350860, 2079888, 420210769, 782370724, 898691630, 924886144, 1037276074, 406460496, 520938442, 402725748, 397479379, 511771996, 645326914, 583085160, 818482928, 779204232, 590167184, 210477526, 629446521, 580579598, 41745226, 582342038, 368501524, 970740272, 282570378, 8606464, 854258488, 679683652, 369588106, 565105192, 503417393, 960493355, 208918950, 940610753, 154909697, 138351054, 121442833, 405889285, 41014537, 969792788, 454463238, 227945732, 1002971383, 682705658, 966565733, 1020393866, 674035897, 346389516, 542736647, 151620919, 197692253, 673950291, 136057525, 7254584, 178210863, 67487268, 652279605, 172884822, 501175100, 370577916, 467857535, 28780987, 944619607, 720542559, 843095632, 1063044833, 447803362, 46617592, 117100695, 146379230, 515149100, 560810250, 165934117, 13126944, 757500561, 218274944, 452260203, 1046340056, 980292895, 762506273, 297958492, 509925742, 231768242, 283656114, 362460005, 371736797, 945212346, 631080004, 202655094, 587993577, 454255019, 381901053, 722146969, 69626422, 43164735, 759771926, 842678836, 362166150, 150709729, 670244302, 842862504, 630961503, 678083376, 925827219, 685296582, 267394432, 919617249, 353284172, 764570277, 90755039, 69779297, 184225219, 987529975, 673539028, 123743068, 87977333, 885138727, 613020653, 511546827, 1056386372, 178371964, 511691714, 2272118, 698120855, 424650487, 752571264, 1070623063, 716025435, 881189394, 450008518, 462799467, 942796296, 614239665, 550988408, 684399932, 631105216, 795388833, 161622603, 293316252, 858111581, 684400385, 152093019, 836971643, 467544655, 369525322, 522178717, 683481867, 801324743, 440655148, 206645084, 117024363, 897214817, 871408087, 569712151, 179288026, 886672030, 470491229, 9599896, 148174138, 332931670, 629708183, 397537617, 1063051506, 649455361, 167176571, 324277796, 505254394, 672956594, 415383327, 558844362, 1032513404, 911312863, 80302044, 844967464, 69195460, 416412820, 841634348, 262110582, 326841380, 801238140, 46827921, 995351307, 947020528, 588770322, 452757864, 965332589, 585466997, 694364381, 53041615, 730628327, 437529308, 315005004, 664091209, 225592230, 650055626, 591485441, 248291512, 438082291, 912129747, 151993988, 627461659, 154166152, 130613846, 245353045, 49797292, 8496159, 803500946, 1050748061, 168968102, 733273136, 932849702, 212566105, 490024982, 283095672, 206775809, 164117276, 475124097, 489638848, 52021492, 31938260, 408581494, 465895949, 146349263, 117141013, 589395238, 62030163, 807947753, 77982873, 778738824, 809998876, 37749715, 625003203, 96090665, 569604904, 701837230, 821586148, 498494531, 141114266, 985547269, 439604389, 60397452, 978129995, 446288052, 288511250, 252000465, 1061528426, 456881220, 949467294, 130064597, 305988098, 520321308, 1001901255, 303768759, 225639408, 971946651, 971980700, 412470858, 628046294, 732717845, 866977101, 119495782, 756936626, 303437883, 592009815, 492410810, 833213419, 822990255, 755740199, 49551082, 11859826, 493502508, 43547974, 434976475, 401618559, 343062923, 277119993, 343176345, 100120977, 735309046, 522525632, 950883143, 1040980961, 265322017, 690337242, 829499140, 714834184, 997773337, 608697164, 433590672, 205552083, 469164576, 786703263, 337019952, 658415471, 608546210, 270213533, 325731573, 374151359, 1049499493, 657077013, 862825211, 126359620, 715347009, 527273193, 798372036, 497134148, 705187775, 985398014, 856034507, 781356461, 207367037, 741097809, 902788780, 376953976, 45950595, 602379907, 223251404, 653227684, 936219540, 857337870, 12597407, 739813134, 1021426276, 197256987, 995993922, 712200556, 755756017, 187825033, 739671766, 615658470, 289165193, 526127946, 593227066, 972745100, 974241397, 288542552, 638893302, 740035549, 402892300, 317649077, 117145639, 245054449, 586398186, 732375666, 513190247, 1008671892, 884300588, 1061590066, 929824190, 749242033, 842682052, 875823876, 433735956, 563393186, 360284410, 754636747, 621323053, 759213981, 266521624, 461869510, 813628006, 164539261, 874995274, 660385874, 732866963, 1054207791, 202312733, 758297435, 443400016, 305897150, 788914154, 558938522, 227847848, 632033380, 229508451, 753178190, 600877618, 665127078, 7980318, 747995997, 212174674, 768811045, 204627097, 498391650, 350774509, 879800420, 995540798, 760645994, 962238592, 1059128098, 948145075, 370669915, 411703654, 729529025, 1046082175, 614063265, 134020650, 474347825, 388565454, 43734018, 62391295, 895230893, 261209080, 846968997, 680608381, 814611027, 480077958, 804149022, 984076220, 802658092, 795976831, 136384518, 240792003, 216406131, 580889385, 641947444, 712307236, 927727756, 623137557, 89018715, 1004522524, 1063845399, 620187835, 678022438, 549750762, 841216097, 866290089, 737059641, 1031559953, 741897626, 526574190, 624193023, 323397458, 306611195, 995047388, 32495665, 8583593, 292112252, 240258330, 1008980883, 642407729, 118529072, 582224443, 548182847, 721092210, 927790279, 287334660, 669294398, 734756809, 206519084, 878416275, 216278967, 137835768, 767863189, 798429593, 945411090, 493709766, 86326996, 847445206, 460683638, 535242186, 242643439, 921774628, 553128430, 182631679, 592498494, 902508779, 468060277, 576248612, 927030935, 80759366, 576192377, 254919370, 710003167, 167324201, 671265117, 31489875, 1070592592, 319014907, 927451692, 886083612, 475051919, 776493443, 338120355, 482542946, 226162285, 495527034, 1030294175, 7650922, 257546521, 770967946, 511045677, 940365789, 633887943, 713240803, 258713366, 303559206, 855812787, 887628574, 114039875, 1066606424, 189083724, 326147306, 437257550, 383522881, 644973857, 83215761, 862823124, 830359914, 301128996, 362066064, 806342520, 41916092, 777238059, 932321494, 150909273, 232734979, 310222901, 589468479, 1062618259, 834698547, 492701028, 276687039, 1059896688, 595746512, 355004335, 339986018, 501670104, 451067370, 219675107, 974313917, 640516847, 973831957, 438409388, 362603325, 60409433, 116327720, 220122959, 148948725, 848344667, 684138442, 262248872, 433733569, 420355781, 943561578, 920661756, 733235352, 1023697822, 651012891, 662604813, 1028202409, 197504728, 858728554, 946729319, 517435739, 176590257, 1039427442, 579776927, 986459161, 92735107, 917185217, 1038635699, 844932443, 898847485, 1033418572, 491649655, 1032656136, 281129993, 397376670, 805377638, 827972148, 512346966, 405246707, 888934064, 223374868, 494079643, 969643506, 789659939, 22050643, 381459985, 565591125, 899798661, 809577641, 994814086, 69325878, 232256026, 129903831, 211002679, 849656128, 1055192638, 609089095, 420135607, 919697617, 809231486, 932652881, 352611657, 204499611, 236384838, 970540771, 572670233, 1023182289, 241366484, 88332432, 879827108, 595240819, 77765678, 824202872, 128069385, 591416664, 506006734, 71453200, 898142891, 367606440, 716278568, 270225603, 606912842, 665914849, 319556918, 4548647, 183856479, 336708643, 701143215, 96056395, 738225047, 163539403, 93885361, 139505088, 747050037, 712052783, 946141998, 854442796, 882709986, 503868657, 397214374, 146327181, 51730367, 492146253, 515048944, 864708124, 289977585, 27180130, 283018815, 1033052383, 164216002, 935274469, 489780385, 286412620, 1063754194, 546160338, 734624256, 535629640, 81535914, 1071333077, 11329119, 778466983, 404334814, 866018933, 833278370, 980615662, 981035413, 538821009, 97601729, 286351357, 489030852, 867577670, 526378019, 1034555418, 930908782, 828854225, 664152596, 1019674007, 1013955088, 637601941, 392182270, 236228076, 897241489, 1007477578, 434859070, 444051868, 793878262, 797184559, 950946886, 49644721, 720054528, 845295074, 54307176, 744589468, 6995999, 502200201, 27849618, 963522586, 873831250, 512189440, 990887321, 907636770, 739674080, 105681453, 914618144, 454006812, 657088427, 12422685, 109139911, 314945272, 1009583079, 991528269, 362679566, 548509334, 17257888, 391036555, 302053460, 637455670, 430338375, 193985546, 104396380, 276312049, 304099148, 757866091, 51740207, 898625071, 1015286011, 188943346, 436008245, 613286695, 670778252, 864531331, 417858365, 546973838, 573011069, 35446450, 474178490, 536836278, 666784885, 973490974, 38284286, 716606591, 826305702, 662430788, 359813699, 403429677, 339554847, 105599773, 598663031, 41401235, 109226140, 445209087, 1041139478, 449323347, 686441552, 19995216, 191095504, 615869383, 331845888, 139916467, 498524496, 232821205, 170254696, 925616674, 264952315, 1025818838, 39990806, 786584796, 994852471, 712908508, 924439572, 900072968, 763656813, 527443433, 23427089, 813164705, 285989038, 81728308, 386148016, 645589913, 167620687, 771398316, 616189828, 658431129, 141725954, 942025756, 831461209, 433116102, 149470042, 238031487, 344931287, 762048157, 219428087, 61277133, 806998193, 937614043, 167590194, 35121995, 970499777, 539871282, 44247650, 784636927, 1065865996, 582788863, 705649864, 644147904, 490469939, 384416679, 1027596081, 883448558, 54777572, 237571528, 421373267, 551704244, 170348169, 989027721, 290622400, 538755608, 797040037, 304038908, 337677442, 815680827, 381740057, 175414311, 365576467, 855961142, 652638932, 150115793, 179879800, 193306347, 281646650, 896258785, 28268238, 618580457, 663117408, 489324763, 807638974, 137375795, 985286406, 505328103, 146573436, 410272196, 243384277, 295729692, 96944352, 299190444, 639493625, 369377787, 481861333, 710036715, 43617981, 631367063, 691512584, 663815510, 635226395, 1072004852, 156722407, 460037980, 41943163, 543132495, 43567363, 175973969, 910492977, 235586254, 700214569, 226765844, 768584575, 244440546, 469288776, 32353799, 117421340, 780673754, 704309828, 469171564, 1060444716, 530560713, 986124365, 1003956184, 902970415, 343101569, 665801966, 628335167, 404483881, 582106005, 892736013, 351528481, 168039921, 603743466, 196896916, 768140308, 906884260, 709649586, 261603980, 346678555, 195829983, 160095828, 744244382, 580249219, 908321753, 553742678, 555305731, 212124867, 1001610717, 587451151, 30421762, 785396766, 445888602, 312953305, 797417884, 667887093, 662039161, 254019751, 812125680, 704730160, 1057337134, 509473537, 354104489, 923527563, 276536290, 199876215, 1061784325, 83816970, 679016838, 760536542, 1022389946, 82854555, 668524220, 1068925595, 929489725, 500259349, 583656313, 177682971, 632594456, 718134681, 889090935, 574036468, 562725769, 448074641, 1072443264, 670132562, 392828908, 947546466, 55978884, 1005871931, 189323044, 5561688, 1813236, 673708245, 385640804, 393984948, 171875996, 666227595, 510122654, 550694051, 911833961, 805517284, 153793296, 511556566, 285292796, 255205424, 323817225, 743346505, 771868883, 1056156054, 1038444341, 946505969, 226268272, 608047171, 187866439, 54692158, 844096849, 716681977, 313804595, 128369625, 837721243, 850283198, 146043890, 61118746, 151422999, 776919969, 660599224, 995562949, 404766945, 385187140, 822653918, 460735998, 499263672, 628761172, 506341233, 982061178, 582598936, 993840527, 639114246, 786202845, 549344461, 392977528, 952486211, 839990696, 83706341, 187908213, 229697852, 383262119, 820609368, 387322363, 75958319, 899995328, 892433492, 389900330, 359206882, 164161088, 615763981, 277694657, 406420187, 588853141, 14077785, 1039635543, 516335611, 738910334, 561863247, 415086240, 549987309, 596743740, 569633583, 532170612, 196683383, 170241953, 808185708, 625342628, 443007090, 60958508, 166353116, 247079538, 370740089, 1056634627, 750159771, 363666201, 974642393, 337300598, 331700988, 580541407, 979206684, 1033669387, 456572748, 1009547699, 992066579, 605873818, 935101616, 683661119, 670941853, 589310912, 52142460, 64617329, 375820077, 509022039, 846359753, 861283707, 206631800, 566076790, 818968004, 150472793, 53104556, 995869726, 774247451, 711681705, 382443643, 822805529, 879998827, 162333383, 985950945, 324189864, 221823045, 151455624, 33556540, 19001811, 544593062, 91693061, 855833436, 1046426435, 839002677, 606206246, 905799753, 932848937, 1071365635, 467795897, 200778465, 263133672, 96093592, 282784929, 487217412, 930304215, 575739977, 105382417, 206173705, 537625561, 838586425, 225747959, 604140615, 279094204, 916604308, 768845096, 286964355, 929175060, 205181805, 608513456, 196306930, 756215594, 290079753, 800782461, 559098153, 121811280, 895134261, 349523806, 115754931, 893559060, 457018181, 385487860, 757559299, 20815308, 877304120, 603944155, 518299527, 1002179167, 211941263, 633738391, 76582910, 250276476, 843708753, 994192971, 409716714, 142712122, 382549039, 406513316, 665809536, 218968837, 1045741130, 108812865, 853989419, 1017865943, 675396317, 93822834, 1052592861, 459851417, 384693927, 1026847457, 336666752, 46080704, 698240350, 239991091, 252986051, 825470164, 189463931, 881957410, 574795497, 104675026, 329378659, 580710174, 57631829, 227038965, 988308797, 712854459, 669399416, 991904655, 949455606, 140255265, 977760666, 918155740, 900711588, 1035928688, 954031958, 78448144, 1019200872, 736969395, 997728895, 83585503, 528346203, 622799672, 755160385, 394572908, 911947149, 17372552, 1007750485, 742011443, 90884991, 425269507, 1022304297, 203574871, 792318932, 1010419429, 62013281, 312384949, 463743673, 50717184, 869161103, 806301803, 366204547, 612141779, 302780712, 551261714, 604526632, 718761739, 531417161, 124516123, 29667049, 324323802, 108226894, 352517086, 420760895, 152851206, 693796758, 658713526, 906897632, 667686265, 326548537, 638885681, 478380694, 453776464, 15576505, 1071031364, 32542211, 908274286, 575116519, 89148462, 803154398, 379478496, 387442384, 660750884, 175569740, 651099049, 614552283, 537706737, 306815314, 773309025, 909718043, 671911489, 637877380, 147493723, 128188982, 703318218, 598276309, 783341565, 382860081, 800046038, 335546569, 374390057, 27095824, 628132767, 335546245, 433544939, 187721356, 810213631, 454223778, 474482950, 674669406, 327267845, 308342755, 443507485, 603625503, 944808864, 507060825, 147021632, 477370991, 956253245, 979656202, 801297856, 749160887, 592514582, 662996542, 775378536, 123525802, 826563325, 658871286, 350111128, 339042236, 18723824, 725168990, 25385803, 65841072, 466788203, 637530961, 1045836114, 264082673, 34068367, 585582417, 375501982, 1002368949, 525860057, 1072213482, 715892083, 113964569, 962915999, 167258136, 583426697, 741973362, 351440492, 804125884, 998281782, 821945092, 507052241, 909986356, 402878278, 1047284508, 762755845, 953850588, 670219436, 62085795, 727924234, 164998958, 958751242, 811380328, 853819401, 619051158, 722616565, 355447, 1068098351, 731983449, 166902329, 159650783, 266000657, 447194605, 197861507, 302492225, 324135364, 1053105628, 804997562, 610932107, 211707692, 1053223428, 626961811, 46378158, 856527417, 223302616, 142232452, 53281760, 777415019, 451837336, 524850405, 326918311, 836075498, 252395485, 790651440, 500357492, 935408196, 1063600464, 222512900, 954386182, 747490697, 15286374, 369562988, 513434040, 955677051, 836722684, 645427119, 223978114, 907342183, 430307848, 467262821, 129000907, 701866235, 205802233, 675562551, 150326618, 1035146982, 192671990, 417581670, 588172384, 756264438, 753282159, 142886866, 64091726, 1021853479, 883222903, 568392315, 1057423338, 278592233, 1017893378, 380551306, 701197634, 506695969, 394200617, 382454014, 885072252, 837846002, 452739124, 734030799, 587972395, 333314557, 241016279, 287102762, 330531242, 708684883, 581502848, 1009677956, 587112916, 260960093, 1058710082, 209382541, 737912240, 728261046, 279625174, 202836941, 834623748, 785221696, 566897563, 806586553, 253937419, 961654336, 940430660, 914485488, 489490980, 532939358, 282289090, 765531044, 202605772, 450659040, 767862970, 1054346777, 772618331, 458007442, 275318721, 456544204, 495507153, 543566935, 1046699356, 24916641, 59385613, 1053161489, 362736923, 969747894, 1026965151, 313714635, 578359460, 872239727, 734433060, 655006963, 566570541, 151108893, 847411681, 204191426, 1041720152, 223652970, 79596605, 292170193, 727117667, 874039698, 237218527, 968137697, 672097116, 619433172, 611015050, 764237928, 253347070, 518106889, 404538362, 1039728297, 68527067, 580307198, 75755525, 536222510, 208693774, 451571786, 1030280565, 388541807, 143913995, 1003224578, 331137737, 820181178, 45103806, 34466884, 343064997, 632744179, 60087281, 134692715, 559580420, 937014714, 665106754, 845510386, 377600765, 19536194, 998513401, 747735472, 714209605, 781611229, 553938644, 494489759, 524233433, 1017851072, 267712818, 102402235, 727492237, 232520304, 882239536, 623882424, 140766650, 820833517, 207149563, 679264354, 635470859, 720291077, 1002145851, 697375538, 74780765, 107494037, 569154644, 486593243, 898372119, 162342937, 1061045318, 1051051466, 495166254, 684394266, 785272911, 903412071, 660384736, 748982798, 809829372, 106030487, 443916579, 788927216, 931826066, 20031186, 613297689, 249976758, 781063563, 591020698, 79937610, 403669659, 984384493, 831610011, 22762797, 883555690, 901405894, 360032910, 408052273, 412997960, 90263640, 779807042, 1009916319, 628865878, 937881694, 600696945, 854994658, 251957419, 512311345, 1013040400, 1029800913, 1044478438, 394961, 556666767, 570714793, 612153452, 337408667, 1039190022, 336149936, 529374203, 258290834, 1047701104, 118052685, 1052884330, 478604395, 946043297, 157836352, 490495677, 168445080, 346059063, 320755236, 597258752, 229084039, 196752980, 302324724, 558079320, 143866036, 164192153, 81625058, 976266392, 473202172, 645009388, 438175076, 340055726, 223705211, 545026577, 986706651, 61999237, 850626201, 512899779, 958181888, 358355451, 726412605, 1025635288, 348645198, 731722387, 962790089, 634133346, 26527818, 961313866, 313518651, 681368797, 430992710, 821406292, 864163295, 510004472, 526749949, 51903083, 811388804, 451210029, 527429702, 1039434689, 759043324, 473483140, 1008904145, 197479603, 393172879, 742070556, 135457587, 268114616, 511507385, 153020811, 864264622, 152652898, 960361128, 797521140, 546824296, 94881923, 777681412, 10350512, 883838830, 158881794, 872409016, 605463136, 651769077, 876428057, 509499698, 459049946, 1041814966, 219149962, 888699911, 670224073, 722971653, 1055497436, 461946967, 886496534, 186969516, 330663113, 751688796, 544874342, 887642885, 633466152, 617742228, 492941402, 472819892, 686638625, 619668562, 724021818, 769522128, 199069166, 1024883135, 1040646825, 151854210, 1004034705, 1065479040, 865924167, 652914014, 218254057, 20547001, 880406054, 734057219, 91543345, 711060029, 284014170, 129619238, 213950062, 854382936, 863690094, 947954174, 350874928, 581036024, 617425459, 270416315, 675272231, 809788362, 200870892, 574083506, 958581977, 466074742, 140058191, 326847855, 139361679, 960967074, 536887948, 848445632, 133182502, 657568031, 940670497, 970368985, 506253415, 200364595, 109862008, 388876289, 11122416, 552753241, 12463015, 885402525, 868047431, 196919128, 749690424, 820104894, 592237935, 364013969, 1039717705, 193082202, 388889285, 383983357, 1016352719, 175482125, 919378200, 1021489118, 821045298, 956458763, 940838078, 481135502, 539533531, 814823176, 639358484, 670859269, 158476268, 213544196, 1063640856, 6131084, 455686018, 515674195, 129347233, 375491650, 575686993, 313709032, 799492420, 78137406, 352428746, 856889342, 396998757, 873304705, 205625606, 313366886, 689434514, 552311509, 231889866, 614172925, 237940541, 157388582, 25071958, 31846426, 488683217, 591440998, 1053436832, 898977483, 387825339, 303074128, 36267309, 259216807, 274262928, 960789282, 88754242, 54043186, 930662694, 671597258, 229991749, 943170106, 557225473, 923790196, 681060377, 158965692, 1056943291, 50588078, 631272007, 946965195, 92901711, 832524082, 531892338, 346534149, 524823264, 341503942, 347189382, 680240733, 1021780946, 894055643, 88404248, 847970979, 972257902, 257631518, 142484654, 508516446, 991795527, 340499101, 494713837, 92055313, 92521896, 852808456, 257147709, 855696832, 36308851, 92532578, 640354776, 665552163, 501695420, 43576225, 650066992, 165384825, 947947676, 679695629, 922447144, 798189585, 629934926, 294756495, 693371845, 187694687, 74002480, 115841925, 374617822, 104711387, 971573742, 888491616, 1063004322, 905135838, 170419944, 646463864, 988520444, 151306773, 272013972, 1053431869, 330049244, 540754447, 71755111, 956699947, 711306013, 521811708, 850943607, 848628494, 861683012, 587433222, 295572748, 116178135, 951779868, 1039733341, 247736743, 985560537, 862986274, 152999313, 16470677, 1031042145, 401089979, 930647564, 902496668, 722957025, 256096772, 592255598, 98010115, 558034027, 205852138, 709552410, 386077056, 774638829, 515255887, 302451280, 176424044, 839947907, 178163059, 127642186, 814598717, 717237539, 548570110, 373859051, 282306531, 621723388, 960325, 564482968, 317498938, 447111162, 410769342, 536609704, 724167791, 517289456, 842873273, 183601128, 75045920, 86248711, 183778298, 173423291, 689125116, 924677302, 543535485, 969274424, 1061177206, 1057158670, 69509257, 562222749, 11671877, 407238609, 871218656, 1036969851, 853915819, 332283267, 369783342, 649558356, 259856158, 897212561, 682162499, 197469493, 928516336, 442830396, 910885335, 40254523, 797582670, 69239046, 205778868, 793757522, 1052036599, 261933972, 1072932821, 17739042, 694085961, 8970861, 350442339, 342192214, 647522253, 468040837, 96689106, 604563168, 1034478047, 118007093, 639544945, 900521301, 415804148, 736936031, 789431262, 620741661, 186418605, 840881904, 890077897, 1021866013, 622474598, 233280413, 940257092, 1052488930, 873668498, 119159067, 13804096, 700335321, 286948409, 176458522, 244704712, 1034310682, 114221186, 710885660, 618732269, 37838122, 579890118, 702743761, 685673981, 610619230, 827057595, 60518501, 347006838, 261970219, 763962726, 897165226, 434991807, 494449285, 166167643, 653609608, 414542083, 703488507, 981737604, 765042130, 713949674, 521859651, 640253798, 1013313998, 656111860, 796797746, 824735537),6198), 1073741823) + } + + test("test10") { + assertEquals(Main.minOrAfterOperations(List(609704279, 595006509, 694526451, 195253622, 305835938, 1036944712, 529743239, 148261483, 37926556, 189548113, 786321818, 186404375, 68995114, 1028760941, 691141113, 433794549, 730087530, 236229234, 572175262, 494646060, 250249743, 39451383, 686190620, 15550711, 692327302, 537520210, 183433620, 125435745, 594547956, 274715537, 713211787, 1053454645, 879860974, 399676623, 712070787, 585202945, 132695995, 25192777, 739637506, 1044355769, 602401008, 71373205, 968302245, 614557603, 919493158, 610886738, 43794130, 379514216, 337474518, 41327241, 789990692, 708476300, 699926978, 695872655, 1058689059, 480346913, 98437261, 860704288, 615813168, 934344573, 451617692, 252806860, 596626469, 797238401, 342411922, 300335420, 706473854, 270150215, 408963417, 562270047, 518040134, 180151279, 92505391, 3256518, 474922352, 366093421, 89818000, 914956145, 29156577, 921531353, 204153275, 418305506, 373147387, 87853687, 1062010562, 313919427, 806220155, 293024497, 434534430, 999191551, 855425927, 702144364, 1044575315, 88566142, 993200630, 310984239, 155954264, 743675807, 1010664026, 395938977, 679269733, 511271895, 699602601, 378285701, 37612338, 933780110, 432697289, 604986144, 267466321, 96134523, 55652341, 904654386, 639680031, 551667934, 354712995, 370558336, 420704479, 61995874, 954229405, 900528374, 179268000, 192048624, 215093297, 817864955, 533708561, 568046637, 1000009773, 21841712, 504908338, 695395618, 81754986, 489119686, 949451000, 647414886, 758040486, 565991283, 604143649, 118558922, 571336347, 899983700, 240318790, 796657013, 592358098, 578411487, 967233806, 647153392, 582284818, 1064060797, 175777204, 835694268, 298864058, 564786270, 359200947, 7080584, 243118931, 652143652, 103913148, 77373304, 53496129, 193490733, 883024233, 758108620, 814824028, 582289516, 576680536, 602003883, 768273801, 674575201, 260119843, 178619470, 916632718, 1005749698, 250674764, 432938087, 543936174, 579211335, 175342294, 923963955, 800413555, 310283323, 862613318, 287805001, 495965212, 411328128, 767198119, 498660898, 927717351, 944622760, 797921654, 503453587, 319147861, 677171535, 851714473, 854496360, 173229514, 326803309, 693708987, 219049195, 351270960, 820250343, 769793104, 760901439, 57068373, 675249811, 461153832, 720395246, 817685603, 976659928, 879651540, 115549099, 40523837, 1066160758, 864526356, 272424125, 851850258, 350911022, 110101428, 533592243, 91408308, 687221547, 781760439, 377536152, 1015586020, 631405995, 928680740, 659194117, 637780743, 726649277, 820037108, 717140003, 431013974, 206902108, 371114061, 394743039, 95528726, 396271608, 101066814, 796898125, 455712113, 248687123, 281983051, 203727722, 33731029, 35099481, 371031512, 1055412125, 47879194, 341253964, 660998489, 383259273, 549382903, 138639831, 975452562, 614632503, 257450026, 651315949, 221128274, 305431667, 498302685, 239036289, 735460365, 469753990, 500583116, 250558190, 465707037, 715615620, 117089646, 352471378, 108130239, 22022914, 873036425, 720850551, 383197824, 522946081, 851132863, 77939714, 1031962547, 278835226, 951202895, 639500867, 933678399, 774701489, 976864740, 554422514, 1052177829, 880320543, 82783898, 409926882, 776924207, 113180076, 905043012, 623525971, 564380665, 860447571, 438243521, 850583644, 69588494, 766930746, 98304578, 795183156, 303632583, 245286598, 312269862, 9235172, 520849016, 473326467, 1010833328, 875740434, 318366788, 146404059, 397355027, 871487099, 270029646, 431812268, 614637622, 352177443, 530070721, 303818211, 183366376, 706190613, 960951387, 535112233, 46296846, 899101115, 828509875, 597792504, 614903400, 950279917, 711095700, 204398128, 637125426, 777265222, 407295213, 197423755, 980179212, 499011858, 496293613, 883238816, 749269538, 2917278, 509298597, 1025447165, 27477520, 612247597, 696242725, 814845324, 909746081, 143751975, 28001237, 126031359, 462354625, 600053714, 547594229, 426316041, 990670922, 22773250, 993096776, 887322399, 630367545, 739217193, 651732896, 86301210, 230975029, 681734803, 321877219, 707429574, 47500076, 16587719, 474004529, 534936252, 844515229, 733836505, 1063203672, 587001792, 137074217, 917679592, 779317837, 907566905, 4659552, 846625834, 725855034, 208953341, 970196124, 340027426, 162306969, 113232516, 821087400, 625447631, 181357091, 573641174, 533409700, 654136180, 706191910, 731955868, 1044089143, 132917775, 839847537, 248777814, 33066745, 691486802, 303719318, 277406724, 273498635, 979420998, 914677377, 848079335, 136969555, 31307788, 375964663, 844357755, 479514730, 942154436, 592796676, 776513198, 127416582, 501360274, 886181437, 240762453, 194836710, 804941646, 302080524, 500377239, 957688889, 120273012, 1061749081, 626938214, 628303771, 671222566, 139786440, 648722251, 257489670, 966648596, 211033499, 970974897, 853912602, 921886973, 493798929, 856486833, 570931680, 114454363, 727503871, 1014082788, 392416008, 682012344, 563188994, 195258424, 226903457, 73511079, 417117583, 622071672, 779862175, 207444333, 968876811, 925416748, 596938044, 269072606, 181708729, 302971068, 984197142, 750842957, 87959128, 767777406, 184875439, 996560684, 37879975, 644350252, 937645399, 481768291, 617059699, 212656468, 442759197, 42349436, 717233849, 515252545, 809514814, 341672676, 337263828, 607252601, 538415066, 663724346, 763822123, 295320266, 256534398, 202906223, 871997932, 953589497, 107674939, 679843300, 403629662, 397300574, 137919884, 173613172, 411341818, 333466401, 462525409, 605097537, 994247366, 398169413, 979584546, 948565776, 666976907, 290417050, 451631768, 788974273, 160058124, 481720509, 469903678, 161614510, 687927218, 644768763, 813549721, 761122243, 1042032605, 155474976, 243745894, 698944483, 147052004, 574984984, 715366132, 524206845, 538644294, 632765057, 1061134671, 99403841, 159089258, 527151017, 11865723, 1056807529, 153703573, 43094859, 661219612, 699344652, 1013985497, 490754275, 511437060, 952526867, 942158303, 328097754, 495631648, 649261686, 701821455, 447952193, 552222409, 171029292, 960676691, 498086739, 565790271, 583486699, 225101255, 1036196237, 625938344, 1004622369, 59084558, 474400599, 299246066, 282036391, 429875832, 613731348, 920449502, 1060385942, 597898470, 980274043, 779564631, 299471238, 795310767, 184823198, 713717655, 432315202, 71753193, 941857625, 221007982, 116732605, 282377465, 991343461, 330521344, 381629639, 320210597, 305936512, 341786302, 989756417, 645646059, 667460144, 298533940, 1018998125, 942016395, 833619107, 298726453, 741546729, 1021886773, 418578400, 21006423, 428344961, 806490143, 1007278455, 222340433, 260995223, 741561031, 700635706, 264700808, 899283302, 806745971, 500303076, 118605191, 106662804, 997213417, 597436718, 280645610, 1062672374, 42026742, 383588266, 787045399, 972625002, 894390933, 74446685, 699469486, 836250768, 68550516, 596594242, 600652011, 297607930, 766387833, 65811301, 63452002, 87778010, 973427103, 737788503, 346851526, 894293612, 1037409773, 332684833, 169371868, 574604591, 968427348, 542282201, 120762339, 421247738, 1051544633, 423534302, 121598073, 129439105, 502801839, 321622753, 519956235, 278333477, 953518744, 117957515, 668598407, 968816885, 755768769, 512935967, 457815804, 702335780, 312910369, 973845761, 693742310, 774785541, 621104480, 486494628, 422532303, 169990106, 492060218, 539363305, 53096931, 556213112, 310186914, 36394812, 480138820, 469396248, 1039728336, 320197562, 404931943, 651678918, 820348824, 854546681, 1019735632, 1060734559, 304925802, 537530956, 520772282, 32287560, 531280847, 364227504, 114612942, 453120353, 764294934, 993280840, 1021683214, 613533391, 203243384, 324146618, 1016572988, 465477743, 961381824, 1022128027, 1016240558, 294611704, 467654304, 561334044, 526796648, 563825796, 200708807, 47137094, 746322841, 766134204, 718483784, 823397030, 654886353, 152724221, 132084494, 917180919, 84103980, 616042866, 944121353, 418167553, 46653479, 831490692, 825193083, 310654717, 90086014, 776800496, 704426128, 101164198, 132446492, 57037560, 962603820, 756624053, 1001010554, 102456023, 671023841, 994918694, 1021214147, 495869478, 577046730, 604864583, 977971010, 298399332, 808061663, 197415232, 1060972323, 308899437, 1025196771, 341084901, 1004688133, 57047968, 83571346, 740455457, 662363, 67317177, 225190468, 771681082, 39172725, 494309042, 45346829, 211062847, 283551672, 273379432, 364693731, 599646414, 929112721, 362265207, 145190679, 653550924, 322636672, 866186469, 464611680, 111278263, 12874906, 875703149, 594246253, 799025944, 448856545, 606181065, 780156649, 850080052, 194182250, 249640361, 581055496, 47482660, 247140795, 764855268, 424000297, 723735008, 663929374, 380562281, 541906051, 899506232, 898047999, 302378161, 437031058, 842084417, 277668688, 153905703, 53458830, 849649091, 488079332, 252498497, 971927927, 456766402, 1017833267, 403319843, 113189003, 262080351, 381910955, 332226017, 284934533, 754887106, 777892797, 104943995, 214883811, 609274600, 411184441, 450460962, 245493795, 308440701, 922954596, 503692159, 266766832, 92829605, 40616951, 1000185013, 480214569, 58061670, 402506729, 430357624, 51399355, 26885345, 923360098, 58122691, 1013219787, 651670090, 484611230, 787351357, 612351550, 622068361, 775893577, 588805089, 390915591, 580662890, 486758944, 440186182, 77860022, 482648458, 204785098, 548724006, 790776424, 449743736, 950257288, 327583435, 430992504, 953974234, 33204302, 656055681, 922772684, 437976558, 900053153, 552695607, 862047043, 903057970, 1043246239, 25161141, 305333190, 397016412, 843591396, 247218241, 932025854, 899722404, 158394179, 3775391, 8141871, 267657143, 89822600, 194148758, 738151879, 1052307211, 941011949, 1034815765, 206125387, 577929643, 464746221, 553579773, 621550584, 211862561, 653008403, 486070689, 393774620, 1037194978, 549261633, 585132240, 577457210, 569821878, 822230410, 1163094, 78006241, 442062602, 501312363, 243449118, 734909516, 507757537, 71439869, 1013932484, 793412920, 542166022, 937565604, 533777503, 1048229983, 1002211151, 197744910, 879206599, 828884647, 62462163, 508208866, 633387640, 703478186, 740814149, 11297299, 529044878, 893387742, 103915545, 171259720, 72903003, 935503592, 312261571, 343827440, 817553229, 973945295, 568844346, 510312690, 1021051994, 495680086, 410476414, 513245438, 238075931, 625182215, 870140124, 960309625, 996028498, 1073520439, 680957926, 232061476, 509865567, 321370441, 1023293010, 870834959, 439418858, 79080322, 824895388, 638908766, 257939621, 761928478, 799068777, 736130848, 124285593, 454836225, 327807040, 66786920, 561828411, 60934853, 875994281, 1000081194, 586684890, 1016710810, 608251351, 348165891, 47640390, 917044459, 539330379, 194406493, 924644824, 1021376447, 549995542, 1022870187, 1058945630, 754980783, 689926881, 328163674, 122217301, 1026583467, 303131229, 40379430, 63597581, 142913631, 242959793, 890749509, 717496179, 400066456, 56673368, 1069951556, 504260756, 676472870, 376756175, 473677379, 169479649, 643493617, 833387161, 838276033, 90326208, 362704997, 387780712, 779007944, 539225473, 302388197, 1057835695, 174510677, 83799513, 291928619, 717254605, 551646761, 43692063, 484727629, 805725271, 1062242663, 977984517, 705928114, 532809627, 159155577, 361504287, 948273220, 892520477, 1037331815, 716134405, 592541595, 387688505, 791807683, 640192272, 772524995, 1051891225, 114836356, 513562106, 989032570, 666404015, 822344917, 795405933, 432627578, 305058613, 924702447, 51803202, 1013575612, 62937068, 871610183, 1050159215, 1063465822, 956448191, 224420297, 379929384, 1070168341, 540011006, 854795215, 834115802, 214422771, 900962645, 222907098, 954882239, 1023434482, 241536887, 257859878, 754081068, 1051290475, 249068704, 681619643, 172344774, 333094393, 960702700, 325102575, 828525048, 175373971, 1003684689, 55786259, 478145857, 649196497, 417060888, 860639682, 202056506, 824155559, 275970736, 31081560, 749697987, 112545263, 322064224, 419730794, 315214941, 461236620, 91883330, 869863932, 23600205, 593330259, 717983799, 24018456, 610576536, 425248219, 947905862, 609122319, 586010749, 884751429, 473146840, 521092396, 747440564, 988580566, 664187328, 116765417, 295114859, 428470573, 178087265, 940772839, 370687606, 700945222, 719868237, 803226196, 1064547159, 56095265, 918873943, 897409719, 477247343, 477839386, 1053141274, 133460501, 103822693, 574900230, 974988996, 694821048, 320909688, 361084865, 423213334, 876788229, 252808509, 159976225, 4772561, 963113043, 526570862, 70750805, 314277072, 924121114, 747299371, 44379034, 978549348, 61581774, 380600629, 246058268, 921371312, 675989266, 25437875, 425483290, 179883586, 35631652, 1034135770, 436108650, 128290735, 374207418, 750674173, 496880550, 879409115, 243031482, 593764994, 988679277, 622778470, 1053723388, 977697698, 841305486, 173161102, 1047750867, 14395130, 840534768, 478328974, 15980462, 25913645, 858669052, 812545033, 628657316, 314499229, 369784673, 561735960, 450287551, 72357579, 229890360, 167508481, 352871251, 869658500, 690456571, 829140298, 1032894654, 184083628, 535536038, 925391560, 358966355, 256755360, 922120292, 68933673, 795829139, 330115694, 958121786, 562015377, 295125922, 355367549, 867547047, 219924079, 655418260, 441858072, 163869399, 1005076464, 94872437, 719933610, 211802980, 266417602, 547362368, 395004677, 700633839, 719302657, 393558666, 587533722, 39847697, 335433039, 276279842, 99256260, 511070684, 1005120150, 315872589, 628439612, 249726811, 773732466, 713768352, 14123932, 239157244, 864587659, 660381333, 548211027, 343748851, 217493489, 306301050, 817018953, 443990923, 974975103, 1049635937, 24164355, 1015891223, 102266981, 366003865, 776701576, 325794556, 518372668, 1064713134, 884841258, 716510232, 782199238, 977151893, 728092981, 142366349, 636826105, 114604290, 204065367, 900633209, 784895328, 394042460, 229854002, 589917380, 1004991069, 911575971, 428828948, 386613167, 844141315, 1061983293, 529607726, 743172238, 989970258, 617249287, 182732497, 416032848, 288120879, 975057275, 852975672, 693510648, 229527842, 203255243, 776018413, 1046843697, 1050050441, 821993033, 775056585, 152858455, 26945521, 733157543, 686286899, 71160602, 720154246, 114631352, 735835074, 578988502, 325052114, 465291033, 588015136, 50934423, 685103781, 456994978, 912486012, 1021346786, 630416042, 261450838, 869545102, 1057524612, 190135428, 814580153, 766308816, 843067955, 942116448, 531866609, 249271125, 397256704, 640095110, 31239191, 284217643, 259206430, 1067872733, 785670750, 39701130, 102867654, 93050585, 270242809, 339781769, 376094919, 592258939, 655716818, 897767359, 200702151, 630878572, 148344953, 855682572, 110308080, 476077115, 699434202, 466698579, 219837622, 55742298, 379073464, 358569278, 557202306, 482185604, 522230874, 299369682, 249294860, 7444849, 604701119, 697227976, 126932477, 755136269, 493582324, 789165014, 621516963, 183078647, 919600553, 324568189, 892082805, 999168470, 583528972, 250143524, 45001165, 28082369, 936769562, 988447043, 795978663, 771952990, 197155234, 909796007, 890726488, 731157475, 287829433, 394898522, 881523413, 684987900, 637395444, 733198091, 365697402, 611315072, 207695004, 810012188, 922303975, 484278675, 459101972, 675252873, 35655023, 61424725, 326021309, 478542686, 1035486486, 1043429095, 160597374, 472082597, 865050626, 516164221, 872989999, 406191513, 52013921, 559592199, 434635776, 591845708, 597607026, 528556628, 1010361671, 141576417, 888135773, 257358603, 49743975, 1060145672, 129094547, 633931673, 934599272, 955713081, 654042428, 1039771927, 492421637, 496266892, 1011788335, 401420503, 394524359, 399260522, 747480137, 639369756, 464923476, 601016376, 70829168, 173940218, 890179055, 146363570, 315560581, 642676196, 758404281, 488519702, 471063605, 447693885, 970177122, 620840800, 1026544023, 627032991, 837389492, 927012467, 1057151750, 970366803, 810076662, 611121255, 5468497, 854428928, 405785556, 1062517366, 1007720207, 1049220016, 270438335, 551082142, 179232323, 766722870, 817053780, 259350914, 451337901, 451699408, 104178877, 648827907, 562486244, 907802028, 830665348, 279835250, 748600973, 748116447, 119245178, 898102146, 138480813, 274604095, 746926319, 27618566, 26508546, 550646089, 567994738, 741264136, 590317719, 201596746, 660652848, 817675793, 632877830, 1058088196, 601231714, 219966952, 538844567, 213122173, 1045683536, 510604367, 670653568, 781349593, 1030544477, 148330365, 504560954, 974485294, 634246070, 908211949, 889813027, 982027380, 613400469, 139379146, 383391513, 811190344, 800424487, 10190648, 13253561, 720218102, 318279970, 43803504, 643947200, 512775367, 502039366, 1063908555, 133183787, 562702862, 699722912, 1043681334, 126298621, 1019176116, 191800341, 875393202, 863780509, 486633053, 527973745, 978463978, 206107005, 403656843, 392420496, 197947096, 600190730, 895533528, 286664223, 650991413, 296512420, 812494248, 81694099, 153644748, 317430986, 829874423, 733510836, 1067016277, 856369424, 727547581, 583475827, 299061658, 383850771, 872744583, 100902592, 37424085, 271031252, 741615333, 1010744422, 431862287, 149263068, 760095051, 522672767, 581586940, 767620957, 895829292, 152840345, 120139245, 569521331, 868940978, 1072121005, 123665427, 420671115, 834041177, 136586841, 406182030, 464363806, 726560755, 383000921, 64440812, 64868746, 767207036, 546503150, 862828174, 724365146, 1018109255, 990660424, 28366900, 166727802, 608662566, 392595727, 690569117, 767977408, 1029356614, 591027237, 747134014, 227616219, 121028874, 775832723, 999748875, 711169713, 367736069, 881396435, 60763145, 518075456, 164492405, 348822422, 6307996, 619625324, 950022985, 748695634, 70589185, 461397490, 402989617, 177747731, 504679008, 669639647, 963598390, 741360166, 705619852, 616320036, 817672244, 218645501, 635552798, 171448960, 30667634, 15736408, 118107120, 338995145, 784371086, 474669342, 777265590, 468391423, 41112668, 554231313, 456504614, 207580907, 331512852, 930984305, 1053117659, 73059984, 551648539, 681569114, 444874805, 1015132458, 808193335, 843938800, 369480542, 1071289979, 400833272, 82455981, 865794908, 672988362, 271409834, 818431145, 502175089, 48967359, 535286540, 1013074668, 521017018, 591299764, 796720008, 458660342, 574896729, 537835302, 777590845, 892530523, 759691944, 532699784, 463619194, 557341393, 407059917, 149679595, 426756720, 168700769, 596431742, 912518038, 546396289, 709224849, 831828569, 562720266, 156380295, 390433768, 273199858, 186163273, 571358785, 154543480, 977277846, 54144477, 941790000, 581829701, 707141276, 819193152, 741806159, 540023018, 542183682, 768518870, 440294514, 565464621, 363972201, 613652024, 780840354, 380293463, 127929295, 167666980, 785955356, 398787310, 13551496, 642758105, 19161729, 1024909769, 634099701, 46090964, 972439964, 417445451, 680555746, 920058761, 207128679, 800469100, 48785521, 941807562, 131393081, 82839516, 609302282, 173242050, 304036940, 482266825, 725146487, 956375757, 1063382998, 643610018, 568932750, 689728601, 694296410, 601404831, 310600828, 833676053, 3214603, 137952889, 445319349, 750187963, 952603623, 1061327769, 990080477, 719791672, 968689791, 91345128, 524263155, 735125461, 322696696, 321311639, 827191327, 424120643, 262597618, 430817080, 24018498, 409321563, 777235479, 677812481, 897670762, 359220987, 105112244, 911721851, 769516024, 168085374, 269825633, 138782276, 125838319, 844952918, 24432646, 160296509, 511406583, 223900895, 1065652839, 440617252, 532024035, 169419931, 977040124, 687974383, 520750775, 1003583901, 983968842, 755859477, 646054987, 566137785, 643079520, 226635710, 809473486, 429483064, 710979084, 697659998, 569938329, 241772961, 401166668, 121580731, 442584708, 423756747, 425884945, 707983058, 108944486, 366829007, 11942616, 141464992, 920272255, 971454763, 460162772, 664706982, 2764353, 956025216, 773610998, 48966750, 102819472, 926026254, 870012958, 178389596, 936046818, 1022943701, 820170932, 711378051, 49358216, 224204626, 374011420, 469087541, 687282682, 77114873, 544171292, 690208470, 411989467, 522080103, 152236013, 804480709, 596514217, 120698976, 829400904, 213300619, 835750705, 232056224, 850762839, 930974361, 548691694, 914535669, 1042501337, 37517854, 117262086, 861087217, 254317946, 838597937, 189229957, 880730118, 932894625, 560279334, 871811315, 184490198, 877464711, 355058954, 564559278, 197686897, 7472056, 905092854, 817586471, 253157887, 975642888, 252829399, 126444622, 705192761, 284709983, 414689928, 416574070, 550806094, 460017243, 882181546, 196509765, 110543905, 588823611, 40984342, 619497946, 139302504, 904195881, 113893903, 873269972, 311422265, 790747775, 25234144, 234597904, 418068106, 398112479, 622290693, 641440831, 72015248, 618384118, 1070724979, 410296291, 675113053, 224122631, 48794030, 651676964, 1042864468, 430035199, 134184708, 1031529066, 748836820, 131077052, 1008884562, 678355025, 74910532, 590826016, 344951620, 354873814, 874494806, 368865049, 327946365, 46157372, 992830944, 56007222, 376766343, 315954271, 127279324, 338743357, 1050695172, 986624180, 863164818, 894683266, 530635815, 463344582, 873827278, 894539468, 692196244, 497704349, 528575476, 1048970751, 729845056, 213836264, 85706416, 909947111, 233260860, 284474318, 339601148, 961985151, 876762601, 1054000826, 35546822, 985235060, 676412717, 299248457, 118828709, 354499884, 786960285, 831981264, 507406486, 1058710427, 376141037, 1034951779, 457041668, 56210882, 100919382, 1048654641, 351045848, 609250584, 870685652, 1038163106, 380255974, 828712920, 975307926, 760456253, 450187473, 532521440, 467772398, 891962456, 372031961, 201075223, 36621055, 41661768, 781745162, 742089386, 359707634, 257648262, 294263212, 757860091, 270453900, 886751151, 496663725, 216548492, 161579914, 149028940, 629237500, 867698652, 249984365, 359134055, 733021060, 516456001, 870666232, 1055009720, 21310248, 1037435698, 543977625, 693070016, 838220868, 516996605, 314055194, 283963095, 112557992, 941393173, 76055271, 812080502, 796327089, 291776422, 554438259, 194779051, 462307152, 772034983, 582143011, 119894099, 974742349, 1005288146, 147307050, 2364750, 705896861, 408973569, 468691865, 694118939, 260288855, 312253057, 528830010, 125587586, 222944718, 863236145, 664351225, 165786955, 399561331, 651759920, 355104731, 1030479875, 383747589, 144052111, 617660567, 588720082, 917770116, 28928033, 449441815, 526170851, 1030024985, 913988514, 295515915, 9789742, 446732702, 266661337, 889233798, 77201384, 929736369, 11585634, 422453641, 443400413, 159819607, 188428519, 636739617, 623291067, 17765849, 507942220, 997316218, 731275109, 710481230, 734264030, 645281247, 902790333, 447426517, 351000420, 419103834, 350742166, 609501304, 337748164, 198067394, 690699759, 1020313507, 594471772, 593945236, 846293763, 408983643, 417993990, 188209933, 548842745, 287348217, 82882728, 286434235, 107843884, 737684328, 640829237, 656116727, 8441915, 325803699, 401653925, 1063921115, 946991593, 778739971, 345310406, 274263814, 639447382, 254485793, 405132356, 86227101, 993466859, 663588601, 745614557, 102538246, 212248842, 882489301, 516759589, 550981814, 793127413, 792925990, 211435838, 395189926, 584022103, 386259896, 566575937, 697196112, 516428344, 725723286, 263824062, 840336508, 673081679, 258071376, 364828086, 743251028, 143801099, 270541211, 374591621, 50965222, 711584024, 8118116, 472590181, 700164062, 1047900816, 708761827, 21874304, 1027320777, 591317080, 388039953, 446336320, 644033778, 352784211, 365115893, 625558520, 914645464, 876077655, 426682262, 387456022, 24360501, 559279714, 891908920, 978252634, 1066825676, 557026651, 1049956308, 27480856, 816543183, 692707130, 410999920, 821669747, 607979368, 666628455, 503227574, 693877022, 490668999, 822991550, 230063486, 853381976, 434281255, 167881014, 881719362, 211425751, 987640147, 36913050, 697260318, 679674927, 1057398623, 1033529162, 577089672, 287434976, 271923426, 482890672, 660616843, 633996236, 891702807, 16425980, 354081155, 307738275, 1003769823, 1043803635, 805634153, 812815717, 365887323, 851936570, 796140720, 157382403, 640008097, 101690436, 529688672, 1057742813, 127277035, 407742881, 845682458, 609471499, 365674815, 854255664, 271458439, 994732965, 496723997, 962194116, 233963179, 838726722, 875039529, 827464261, 724106326, 817107523, 580462342, 649722253, 6313534, 768723250, 459228987, 432033142, 606782530, 18608470, 121195597, 555338929, 703829423, 481059571, 881956608, 363462092, 853908858, 492956929, 195260476, 355355069, 901578934, 77657114, 1053523956, 827109375, 1017454749, 682846752, 793812901, 29960257, 1054127853, 754741297, 485068933, 823599506, 183674160, 940119206, 297235745, 705154111, 873708293, 995424281, 143012444, 816336506, 196551022, 486201149, 763000374, 555774807, 431653931, 456749856, 490258867, 766986815, 918047822, 606890974, 524728649, 257593601, 564904653, 751401354, 1056091933, 379735573, 1042809868, 566587237, 310057545, 552010394, 231605824, 410200326, 456721109, 654681796, 39225448, 599481722, 1070959542, 759908419, 938906834, 755864753, 786584389, 76600524, 942567455, 1020054941, 564391795, 693255287, 981186811, 1051213577, 756535196, 47824335, 859863621, 1009142588, 838947348, 102183839, 98504306, 815508424, 510175983, 581678184, 658888340, 48185488, 574391369, 286921461, 471784078, 604122807, 643545497, 339931847, 564011539, 170782789, 589380311, 991609469, 808433141, 887362471, 599857592, 494116981, 649030035, 146865358, 974237571, 724268540, 820734714, 696435179, 871168229, 617251645, 986896379, 521228720, 117544105, 394994487, 314622512, 258961732, 753734818, 826502573, 248271158, 933459119, 825110740, 198470920, 654473576, 894415523, 237776413, 237076592, 361109425, 198136751, 243871121, 301164959, 849368616, 475617015, 71399263, 824336537, 139079264, 603803952, 689313630, 184737654, 695805154, 162704686, 495942796, 13769514, 893075175, 32970255, 971405281, 309802233, 528351887, 1020869801, 753857258, 673478159, 1072443945, 991583490, 903482385, 990920431, 251485330, 1036547943, 700858067, 659809158, 886037481, 340568502, 675550108, 589007478, 148367085, 288229789, 638837570, 731825729, 1016281812, 48910853, 498047893, 748644885, 13809389, 617200707, 701062733, 584315222, 625046486, 267707782, 555675400, 985638912, 764695751, 998894393, 40867562, 160232399, 688396771, 160206657, 20437644, 331737159, 257984915, 1064205141, 195046633, 40702464, 1026377542, 641554043, 289084812, 474318453, 203329655, 584122652, 183924948, 546486329, 99722010, 359701067, 459588813, 268058691, 130346730, 342884541, 720104014, 347090984, 839475112, 435168738, 213108811, 354184773, 107825934, 592503695, 643952455, 499658046, 561251182, 225848022, 654173215, 24633422, 269723097, 823401482, 830478957, 783829175, 996927397, 731198711, 1040061578, 630370196, 492119301, 1059764510, 162118199, 559240866, 750312544, 76017379, 342302165, 623596470, 169728328, 323345596, 313275808, 98659430, 200961884, 394033088, 373454299, 1048707044, 715506677, 450272181, 578841394, 56733586, 243955109, 827334800, 395335905, 391911682, 1877218, 623769489, 557029870, 974651704, 891728589, 628724872, 928160488, 917436470, 721465331, 322837980, 782070581, 1055970693, 590967293, 747247417, 120785064, 800783164, 216643982, 991924095, 454570176, 631958311, 244104510, 906150120, 316689518, 699544165, 103457998, 471924709, 872222497, 939579681, 946553203, 424481442, 286413686, 874262167, 839233195, 472262914, 322631140, 484764844, 473873133, 523083751, 788405666, 549404535, 447382705, 423140554, 476004931, 409432598, 16259630, 924536483, 620252453, 1065407328, 94323484, 714640538, 805605251, 579922720, 507606152, 750832107, 748976672, 205926388, 336980034, 87582936, 384892615, 997408846, 918229061, 278724977, 903080902, 31544836, 465856098, 399044480, 810023096, 492171686, 772849658, 58766546, 1051601846, 558641940, 1056253387, 232875235, 404797407, 915978353, 256708303, 472652012, 17792508, 173821084, 471267364, 322776321, 648285159, 79023075, 211579352, 927842145, 731579707, 704418132, 952756823, 523471459, 448122066, 775972639, 488154641, 118967976, 324655721, 227733037, 499122115, 447905499, 263538123, 419466350, 368289388, 10080523, 738328378, 956142450, 1013188383, 674565410, 59112018, 1024623814, 102286067, 144590248, 112475268, 997134783, 585262190, 927910448, 594158836, 481954740, 204774499, 158518713, 860220900, 369860306, 173453080, 1059033692, 97468802, 222554427, 978703293, 493315192, 266396566, 387447484, 185201409, 797132086, 872876266, 579554378, 310534157, 1037389815, 724599018, 25098969, 475854862, 1071557221, 318815168, 537712134, 226653835, 1046954989, 582784855, 190550828, 322904888, 704421192, 187840620, 449737039, 107988801, 51606961, 240013952, 251704880, 581883209, 90482820, 874053597, 394505360, 157079686, 665311442, 16151016, 861800773, 636050996, 762233196, 63470822, 109999208, 271399519, 737610248, 1055111542, 577976684, 189205929, 751012599, 665154089, 998575552, 681057175, 837217127, 409181323, 329085256, 422504486, 308818765, 69135883, 884847491, 126570189, 338252799, 461166785, 554500886, 688050683, 453499392, 913952022, 689552881, 668762844, 771595507, 595743403, 83696932, 77305584, 709375450, 117813860, 276599759, 773404014, 392919452, 764894109, 533197592, 25871579, 338719906, 149227021, 209243882, 312238041, 826642729, 734006808, 1018818715, 759471418, 620023044, 433181189, 386972353, 397277152, 413000443, 823274153, 479904543, 215746435, 381595042, 50076546, 722879443, 1020278939, 274446044, 884103442, 880246923, 1003843801, 517452901, 284850245, 660775829, 921344675, 980047305, 59218188, 466619085, 414721410, 338612400, 769449229, 910124235, 284511163, 871365953, 758136398, 941843048, 27966383, 194208065, 952570444, 55572373, 845286096, 824715614, 1046041941, 602783852, 703353755, 755777305, 643351233, 914847928, 195625328, 1033612143, 281369130, 148091062, 116544020, 843153314, 699804350, 695470161, 550041641, 805290472, 75412383, 763382629, 580545110, 277117876, 28195891, 23677698, 957842113, 100973273, 33034477, 37248059, 977217534, 212004418, 782135814, 1038654259, 212603896, 62191401, 272561009, 33605586, 629830286, 18685870, 508852689, 295163787, 856893541, 121846826, 926168722, 505532716, 132785201, 209556386, 148815370, 308300805, 179739026, 395626382, 320324983, 532105068, 601567164, 644752738, 593561339, 356219814, 765217978, 631006234, 81852060, 858088464, 745808806, 980636609, 889376966, 817408628, 30885403, 381128955, 429405814, 689878080, 312666670, 710939396, 252604035, 859905017, 420306120, 941939751, 200018014, 54077557, 259945101, 954274715, 465418495, 639451735, 72133319, 586457871, 450411974, 227294993, 1017803679, 990130405, 899367079, 163178212, 632259955, 672764416, 789601928, 178640253, 14318265, 559656860, 505221604, 281863114, 860846924, 656537071, 300630858, 780664433, 332458127, 842779133, 532817884, 492458951, 895259472, 360628074, 425888915, 955423511, 312880135, 131194181, 759298827, 824104758, 74528971, 1015002441, 837275844, 434404398, 840663032, 308252339, 598565825, 915763105, 745935814, 943673705, 992689565, 787342389, 567223331, 56372948, 328927061, 1058113072, 643235016, 118645659, 699146029, 850481499, 190216949, 491866186, 93629713, 399279352, 600189505, 420588878, 967464426, 69322430, 988117843, 811778739, 27642638, 161965308, 297167512, 582182063, 1061743704, 1028959565, 545553262, 831627180, 349241512, 33293768, 1056364696, 834998561, 981548783, 692300651, 82873979, 512804265, 1009828452, 146330161, 559426298, 39325936, 91926935, 806108039, 802898804, 737840875, 739062009, 804081400, 188320358, 627674969, 1024218736, 745501127, 316069416, 156183346, 933598780, 355246970, 770450476, 460933620, 665784844, 316480556, 469628660, 892415810, 334318698, 124801223, 35526874, 825637787, 687244190, 475080992, 462129184, 58133945, 187366891, 923117718, 689738658, 986826830, 492004798, 496843802, 917724491, 232751683, 449243235, 558196370, 814260326, 486857356, 656763891, 751076199, 1055850401, 710077767, 15980293, 580724807, 62648709, 612594807, 119361217, 563030878, 684797872, 153900946, 178015662, 654833710, 631213197, 2390993, 892625234, 412471605, 1055961484, 440131452, 713075172, 81666557, 210749283, 333137042, 493448485, 547492211, 294079168, 153218216, 789698112, 711985274, 374946401, 274931734, 424544020, 406938440, 607300598, 681749211, 636975125, 322364672, 533519718, 235328953, 539660921, 598678533, 360858588, 620445519, 933526675, 176163938, 445784178, 873148299, 712267458, 534728554, 953491520, 611429312, 467006475, 441302566, 251249, 906811509, 577618929, 388233466, 178444491, 688606428, 498688130, 1073730705, 66506041, 350177120, 666066935, 929397189, 957419369, 656151500, 243060008, 622118098, 484443926, 240232292, 814862352, 797506642, 255328043, 781692175, 936545528, 403724206, 181374565, 291646499, 73579363, 296096489, 410926766, 730831820, 790070943, 1000984682, 106358354, 318770572, 322762322, 455205245, 394372783, 509874451, 613981141, 729313232, 226574175, 1000991615, 987573941, 23422681, 35357530, 901642706, 224351709, 401388960, 769340184, 407050825, 608308214, 491716911, 542186720, 414288698, 386895012, 447484632, 887956146, 61776462, 687241394, 715001502, 350929501, 356241267, 235543292, 890971834, 886761148, 149537368, 659756986, 355123069, 389539145, 326578905, 1006410457, 128122359, 246738701, 690574525, 52580129, 354173880, 159467808, 500779406, 289827589, 444274263, 749895919, 391931376, 429825708, 726740563, 217254271, 477312260, 141586162, 56199550, 327178750, 504063564, 153829919, 1026821793, 500425313, 186989949, 644660435, 375084059, 274293827, 592859469, 394147808, 494429390, 920536650, 844364537, 167937695, 734294004, 841369964, 421890925, 712994124, 306887253, 10644155, 398407719, 327248388, 1012068031, 777577294, 64811152, 234250659, 183745324, 789309103, 952297132, 10074549, 614735764, 355548630, 714235556, 916822053, 759584330, 460133380, 876241930, 1070398037, 98310064, 929539318, 3720826, 559577837, 33004567, 886166641, 764872889, 279618995, 14177649, 540855471, 500910107, 470585630, 783749207, 635775776, 396275363, 958637997, 220752747, 592361562, 380240019, 110892489, 570236452, 809470261, 168892075, 1025970776, 626615662, 739383138, 867102031, 921297453, 250789032, 461442197, 233818340, 445526248, 782670112, 1060974449, 540734084, 776500995, 114213450, 195454204, 736287366, 350394560, 723437402, 808178388, 588326887, 230036143, 474745937, 296944893, 81187384, 899472112, 662626772, 1005947689, 625342231, 242663971, 338527510, 1062625391, 586516169, 898195356, 1000741804, 394325519, 410355481, 224344190, 48814829, 627572098, 303868399, 103468382, 26361008, 588228950, 20071094, 344943016, 827848961, 288428436, 88824213, 205857912, 554237078, 873596334, 836542713, 1072551318, 295357901, 340827984, 188464600, 151896733, 354837287, 187301013, 1033274254, 772243337, 392818921, 114091899, 51775662, 684257393, 461970455, 379067641, 148890967, 17736084, 262137808, 683721491, 758724845, 523607012, 748111255, 161029781, 457851844, 799953691, 905440618, 619278637, 768273964, 285052823, 719921130, 944024868, 413302044, 586952192, 395536936, 561406019, 862754874, 56381479, 852970075, 303359537, 204927080, 146865221, 10827812, 878909831, 320632686, 809961044, 916215737, 1024613515, 523042815, 978525266, 135016174, 479414335, 1052349275, 378511264, 358899313, 611743785, 848773784, 528416650, 895635292, 1022011728, 445785656, 1050150562, 266757959, 467554240, 720333599, 472832464, 651011659, 289424341, 409009656, 1053550872, 252696931, 281974159, 486005962, 408678079, 443879626, 393221467, 1020370936, 954072734, 13569286, 339053768, 76138945, 657077384, 585653126, 196632476, 160079943, 239427404, 751260446, 497674047, 57291961, 619250004, 85502490, 851398165, 1061633936, 985171431, 978168018, 467582803, 973047854, 274309213, 863091200, 177141251, 72728643, 303335998, 704788409, 1059200496, 185058362, 337211620, 920911517, 356302388, 617984585, 816471417, 788386598, 362463880, 393692692, 959725966, 249040079, 654082899, 498628792, 967833821, 509761427, 576175470, 156547674, 736826035, 486265377, 46870531, 929459687, 56674497, 416791904, 36323866, 960352889, 199110252, 441787094, 1065305561, 522643760, 923517612, 564299798, 421229219, 212633394, 439679032, 670107826, 1417949, 293453146, 649759302, 256683994, 932418994, 617700767, 678665006, 894146318, 719416435, 932932816, 628301248, 188754810, 812720598, 63760463, 180742085, 755306775, 797467454, 516165206, 999327754, 624579719, 557682484, 704335443, 764329518, 743616336, 1020282681, 243258899, 141070226, 315187849, 805556699, 856961049, 900801032, 879116479, 1044310549, 956444604, 19854206, 822780459, 71343437, 56194479, 433687871, 245165372, 883964234, 504553948, 733976682, 803927834, 968869574, 521181815, 1038060310, 990536031, 440790425, 493484007, 652983469, 102901510, 252634671, 357210482, 817214656, 492983017, 537892092, 434537645, 520954118, 57038262, 48748391, 539769758, 508614858, 486329673, 282320349, 461577448, 982708951, 559347275, 674734095, 9668388, 1034718577, 367745986, 547584385, 257558198, 875844449, 462900099, 341496103, 915537892, 336685010, 496643844, 667530523, 835078085, 142607907, 954092431, 208455738, 482105115, 145162112, 433589519, 237241028, 436412366, 568859149, 94463394, 689969212, 220513522, 422454747, 1047615250, 636923714, 333788675, 593372206, 535880452, 940387942, 677609743, 573742490, 141467623, 902030235, 339002964, 710866170, 106963265, 694853020, 753958531, 779540713, 780572532, 1000527141, 991581174, 989763304, 510120984, 930760487, 694034282, 432850863, 239715720, 69596177, 187416116, 584760381, 146296465, 33277338, 484412559, 210748815, 983583317, 569481152, 102304413, 408974920, 512707416, 748272249, 859555100, 709901053, 672902070, 283380530, 786268163, 585953932, 665993586, 719664867, 414421235, 1001217040, 716196873, 485122557, 17288449, 338779606, 194137633, 212843789, 388891825, 81955870, 94634447, 803554726, 612125689, 892928950, 1015231223, 64770420, 985391370, 220191558, 474083095, 1069202262, 111660503, 359458031, 235744846, 205926904, 313301613, 464026093, 329753034, 1017210754, 308760182, 127608285, 810704350, 437718587, 207981685, 2061205, 71881695, 345907476, 18583038, 158115243, 909692499, 177978228, 772222016, 25346039, 476144687, 258678437, 240735754, 555738700, 907075165, 908245650, 431298119, 13608875, 464383438, 659413972, 112593692, 643232166, 972679428, 776039753, 221375611, 755403239, 432657059, 216829728, 132966203, 739956578, 859477799, 259489901, 597889864, 773359552, 135453618, 497154784, 826984343, 143104084, 797723499, 1059981987, 344703403, 874034857, 350108114, 811378094, 72449573, 100420512, 445764790, 870231565, 385916030, 30667257, 509865540, 505762239, 308996556, 730509224, 664273260, 707754893, 969100820, 714115693, 508912668, 746811364, 805495502, 600590132, 611873212, 511732541, 139218689, 705371940, 945968026, 143674666, 28192316, 656142888, 905981539, 1000419613, 43027924, 1049340457, 533831256, 68312669, 992737484, 806719659, 172951708, 953512142, 825294599, 833702383, 152337053, 810173998, 422007659, 1005508444, 184233046, 697054666, 529487010, 86446633, 729574601, 219508441, 166942303, 375827067, 856298195, 655388346, 943297518, 63768269, 653257982, 791152439, 350577512, 511151849, 1032227550, 243121331, 870827949, 493656550, 216959317, 680466212, 44670559, 9285054, 479463882, 690069195, 571391159, 216736960, 240135042, 644130054, 685594607, 1022048213, 274482438, 711510995, 795792418, 566006550, 178698718, 640867793, 511759991, 754871841, 712786980, 1057797734, 928579530, 360702456, 990028086, 600045926, 64576455, 868518786, 215196989, 559922316, 514822773, 393669657, 858754701, 184445721, 131737491, 62226184, 987661876, 629122696, 128318888, 6777372, 932648406, 87625224, 719739657, 109049834, 963277426, 449979046, 388293657, 720439709, 441216580, 146863092, 793645018, 265116049, 58588844, 155860420, 404398098, 920793836, 1040298847, 267951281, 256282910, 770059514, 743883512, 1001256391, 502723886, 80916032, 198224788, 392524361, 119659455, 337849866, 850848413, 722346002, 558896640, 74008927, 777929233, 149629650, 203081773, 687292916, 551649939, 158092480, 72941390, 713729782, 657688737, 105418656, 578474176, 911567659, 51857897, 647213409, 220045563, 144067463, 994655214, 647746380, 749024383, 874836781, 171548435, 542239972, 372121, 456027324, 373236702, 39095467, 246414149, 914742311, 116340574, 77425618, 999731346, 690113179, 1214049, 405623021, 578974751, 358883650, 171754436, 474602430, 338974143, 224040057, 218501929, 1025086499, 791875577, 928215863, 74840201, 888271173, 247837732, 714834130, 183490901, 77521123, 150087612, 722247181, 73073273, 136280453, 348350090, 591859016, 25570040, 245238601, 127259755, 66722438, 748812826, 987734058, 808236177, 814324564, 408935511, 45902954, 1004544766, 306064928, 349611884, 664003872, 38910666, 1037739418, 828303449, 945696584, 358592392, 52677166, 219749757, 1036513927, 200268048, 928305565, 504599394, 351578547, 260436820, 750024864, 820124982, 1013322669, 966354457, 173229870, 681292021, 877190044, 624887023, 330167367, 374028956, 233333529, 1039854602, 886344511, 750824792, 711635539, 589217650, 53470010, 599649532, 1042525671, 770647980, 705824105, 107552979, 63769152, 389276351, 33340866, 969631291, 794671820, 750013496, 38232435, 876519072, 177303779, 285652299, 213414309, 1023894782, 718420372, 946788534, 141401817, 152210233, 347933124, 149291525, 343343066, 274820865, 1035894183, 908306134, 880157070, 680652233, 1444148, 795729696, 727472860, 316481344, 889087145, 107624645, 653087116, 46248052, 602697566, 527796897, 447469673, 661340770, 816870946, 1038357166, 671439741, 927794810, 1051512974, 331791939, 783941961, 421544508, 658196332, 147434257, 288449850, 378370749, 875943550, 424146445, 449917720, 341229017, 347064774, 59711102, 410716098, 981257430, 99324350, 823019900, 302811939, 1054981436, 896949999, 1034775913, 368039459, 388770789, 830909274, 27062150, 54870412, 754525096, 750117102, 173668456, 402399184, 142636028, 617886014, 680317159, 923223162, 634784014, 833526699, 957226118, 231713905, 773043030, 1023087677, 14968713, 287415218, 466049946, 295750784, 317896617, 197586604, 847609279, 154457831, 815325725, 404489427, 394139220, 701779196, 10331351, 1000440279, 1032821287, 948865163, 201841885, 858621235, 506371931, 535003177, 83543426, 898298941, 392927217, 772740815, 776567459, 188185448, 17254113, 1006211019, 436820007, 297512116, 289833866, 311130929, 302134570, 52191060, 73411270, 284935481, 304547330, 631142967, 887014015, 315193604, 605066547, 1004954742, 19563632, 316088074, 688998807, 75216506, 479351128, 1000879108, 166103961, 707931206, 75429968, 309656534, 845810472, 1024989991, 112259293, 586463483, 907723074, 496131177, 702775247, 82027032, 137984225, 585372619, 33454268, 302314459, 423368974, 142979436, 319303835, 413939314, 803222130, 936824322, 216449308, 57888526, 630037154, 523446718, 664117928, 178392146, 1030154344, 451545610, 859598150, 791142691, 989320230, 633823542, 699071797, 9025416, 246527120, 1054502147, 111411188, 851025897, 312660338, 579857179, 943237808, 374984467, 501455904, 177326184, 844264919, 563488373, 1025422060, 893812502, 225555957, 807593823, 758401492, 1012513815, 86398212, 474834433, 942310289, 954529164, 458895726, 679094035, 897092509, 374502821, 69085260, 121678829, 560491850, 468664028, 892925968, 522777681, 84526094, 383152702, 381568441, 932974137, 699356962, 978758851, 681283331, 183927715, 471685758, 826804418, 823139023, 680671140, 867402253, 326043891, 725425523, 257607508, 765161528, 451150739, 827546525, 1056187532, 264788905, 27259468, 623320475, 134748692, 1031585214, 164283359, 530166912, 656118664, 365952642, 377679797, 244598557, 881047536, 141576220, 170706230, 63324335, 403698530, 402708418, 77219037, 840244058, 926573566, 386836397, 543099120, 171723386, 179002663, 256277884, 450270400, 811963767, 904823405, 493587597, 674740955, 232471646, 892506466, 295661272, 1041018886, 971005865, 19269522, 925312766, 772969760, 236568729, 37169174, 7765051, 875057994, 251503746, 1059611958, 571071938, 1058658931, 384040890, 281554630, 175547416, 457472332, 366511823, 268563344, 185283607, 289393340, 943223120, 882151483, 500774912, 128323066, 296847465, 161335199, 725946510, 534514580, 1072717374, 395198064, 451635736, 294685684, 652972506, 501116499, 901410695, 92217750, 701447999, 1069119455, 690537354, 747156008, 401278376, 478802000, 597677320, 167431699, 245926132, 551880099, 917529463, 787354748, 62844207, 633472240, 292845657, 838667998, 591895751, 942185414, 855166525, 845627603, 18662031, 1008613549, 497522476, 361012233, 327084964, 489536256, 548198009, 218231699, 751292200, 1037795749, 43086264, 136940017, 415887681, 583606013, 780613585, 688479799, 497785785, 708424778, 567799585, 1021163465, 749978574, 293467128, 804773425, 997118413, 273181432, 1065055097, 726084316, 325739366, 769261447, 528224832, 854362576, 837604234, 516009074, 670928762, 492248946, 466850572, 965898606, 182276976, 628758248, 617509173, 564878036, 796740277, 821963130, 692012591, 727903884, 169666062, 395336668, 500940559, 115803795, 816984888, 47088567, 645797700, 613421649, 779794298, 387965475, 23250763, 707903780, 1000750476, 929947351, 265134511, 259208726, 1001989839, 357770441, 336222696, 695772750, 631740691, 996711652, 570134288, 93263562, 681726261, 622298467, 504651320, 583014073, 329715815, 651211790, 169426186, 603781503, 246295926, 70152948, 930240408, 687031494, 841502454, 311351984, 412288537, 793641094, 403482030, 219205967, 202285145, 342126555, 428779207, 908570450, 340946348, 966807715, 66179265, 406789392, 907986092, 870681786, 471011890, 762514570, 183352496, 483948884, 1062328439, 718791800, 244511777, 490549904, 247782907, 708471493, 25714324, 1068824610, 277183998, 208089852, 959756901, 901795128, 727047727, 448475810, 42661438, 435605500, 111889543, 394940295, 1017699990, 251734922, 204490544, 747440951, 37958391, 469923274, 496603642, 15706006, 37223298, 466037490, 145197884, 996916218, 210128690, 632788025, 478053459, 460661984, 855522145, 1018520006, 657093804, 160030515, 613853640, 329681063, 872856176, 309015007, 392726592, 508433728, 443450548, 568867233, 489954521, 324119862, 657399529, 524709740, 781884207, 243100717, 701971507, 205060543, 268244215, 511491236, 79243448, 917510015, 898184910, 384192540, 975543539, 736565022, 108420312, 920969252, 790542671, 786155339, 1002094368, 355580392, 143347207, 421224866, 548795382, 91912172, 123581279, 346315088, 841497392, 144614683, 311075857, 391324125, 664154991, 306265289, 618092887, 201544988, 346878704, 53190750, 898425503, 150773565, 300810434, 921257082, 188801003, 524018630, 460232081, 164976140, 376216947, 107182723, 413309219, 289919892, 302279909, 759475749, 594437634, 32637445, 834020875, 968380226, 289087457, 229463763, 770745242, 948059892, 155499906, 172469441, 853698374, 1052697164, 830234737, 971726228, 609391278, 183366635, 298620437, 419047982, 66265343, 1016389666, 657698947, 612625935, 355800890, 37394442, 991204397, 297405271, 286351129, 259578689, 108157499, 454085023, 666505556, 166398120, 645650829, 404286108, 853466720, 30038796, 411126069, 645144528, 576551452, 957209364, 195756484, 827295806, 773692704, 949363932, 277554911, 139384938, 448442889, 568187552, 725810165, 802068037, 249534983, 529310494, 139440294, 47360889, 562390788, 97144508, 722153353, 295777116, 546313758, 138536123, 318765702, 756018996, 292466646, 632758901, 431953838, 437144636, 40350535, 447786893, 31715840, 316969088, 888427494, 819603006, 358558484, 161953628, 27371550, 406136038, 805432734, 283441724, 374767446, 707506922, 209549258, 35880932, 167760199, 903019266, 28825885, 953743655, 35394094, 1004052781, 156937460, 652724686, 704921904, 854838978, 605435061, 72668180, 791831198, 1053695607, 645166422, 830194432, 185943237, 227294859, 49234420, 133955624, 463275040, 322301883, 792785901, 236907459, 144844109, 602210999, 1018574722, 269492875, 816818939, 857212699, 154661133, 680272131, 536466743, 802841686, 857965901, 301531038, 971582196, 472289461, 932788471, 1049238424, 676822731, 90783536, 716421618, 747753840, 695683859, 31781335, 971455143, 595847586, 59952267, 274320001, 719170816, 1002891815, 871494260, 464235010, 878388108, 706413871, 624383985, 598276960, 222525687, 965912157, 950687121, 148720342, 753181245, 485499380, 1072734903, 523463578, 281101653, 972156998, 181882464, 124838045, 774887244, 917184897, 403066413, 537162950, 822631631, 252542212, 660036940, 369614941, 758448992, 1065207378, 640670432, 840384987, 68976901, 387468781, 976433079, 736133058, 298090078, 658437495, 807175131, 566595932, 569328410, 940066886, 889910771, 613293906, 231718959, 757329769, 446993834, 149233112, 606969690, 227563993, 345091894, 904951947, 917307502, 799431599, 807335717, 650989246, 573498360, 787742409, 605988475, 1065605616, 990429245, 752494763, 16563845, 240003831, 80229016, 395850613, 584479569, 913682522, 947682895, 1031925029, 572098028, 1070640390, 1055145660, 1056716696, 816607415, 596539638, 732501326, 1000255673, 514887484, 128751294, 301592322, 320331812, 527101290, 11111612, 183898423, 511928761, 674227840, 260858941, 80643196, 62778160, 349132922, 236130507, 1067639664, 52229306, 412195995, 244276237, 996179724, 785382905, 904980559, 670717745, 779964804, 534655016, 273969778, 193062204, 591801838, 586319218, 108152976, 834439522, 903335021, 181824694, 393768587, 447025634, 414042568, 760791586, 167883966, 221654125, 810763221, 802346694, 295864327, 260192249, 583535932, 1049574489, 517102557, 675639957, 16014690, 837772308, 412587418, 1038544986, 740833419, 879376168, 646842557, 542002118, 91466836, 657515978, 13983518, 354323990, 40486900, 294407891, 758216710, 221967933, 376309591, 830706809, 352679678, 732192410, 177162227, 35949483, 282428340, 67459476, 636559267, 1037209659, 145969710, 363950750, 644956292, 795971904, 264713404, 857179906, 103355963, 754194762, 502949206, 843581577, 68073242, 154931399, 588960134, 395583452, 558567854, 27332186, 723990908, 18672355, 515093307, 207902727, 605549350, 767006332, 331629803, 975014849, 472258070, 197285535, 295870353, 912978419, 412106510, 136485852, 593154458, 530975078, 637876781, 824744857, 18581527, 217341237, 793259611, 666646512, 957891622, 124165305, 569344082, 234288707, 1024600983, 335676227, 61812523, 924624561, 111526034, 271441730, 795589173, 898604774, 109645627, 809516871, 781528543, 110270420, 258794926, 213573870, 93478956, 208093616, 458262311, 621790335, 53841805, 676514696, 623426620, 843701184, 150507932, 540169493, 952676463, 202216827, 878713807, 265383850, 38209707, 752597031, 484540377, 541370065, 111923506, 62818646, 36352124, 188506206, 107436938, 595796911, 994299802, 143296061, 862059883, 417407433, 983358326, 161679233, 879074350, 331773538, 853661933, 696744880, 125863409, 832137690, 624421023, 618330578, 439508879, 621527933, 672797781, 139318186, 331540288, 446823889, 192381843, 122502761, 419243689, 142439076, 579746021, 251130607, 878169967, 905327142, 652811030, 424855456, 576219773, 64553649, 74918262, 429207879, 921153958, 704365471, 572845783, 660779128, 577408897, 1002395061, 576995606, 769068168, 1043429873, 730425829, 58938886, 169265881, 220664707, 351588686, 743351291, 50973728, 159490157, 48246634, 887555927, 844359314, 438391267, 1008514896, 680527144, 610116697, 168422747, 1043708325, 58051903, 955035044, 876569232, 162953197, 438828883, 51740636, 388710689, 436972242, 37194652, 439066896, 849996015, 442695690, 470726605, 176772266, 294797135, 4399935, 978900714, 1036685170, 1063568597, 571639732, 979132065, 715471082, 690501851, 152996095, 683904556, 109149952, 38879316, 925853, 314049769, 528967211, 125393732, 443692566, 904153489, 931876594, 945932840, 988594000, 767384014, 976852358, 791184054, 377058578, 503119716, 898038408, 246904400, 613328836, 477651428, 662900884, 478381055, 129341256, 719660028, 693796299, 809614416, 414930718, 1013155307, 221980447, 834639768, 185726948, 804431796, 1058866632, 536632793, 445431190, 781042060, 349149934, 388660791, 860896100, 88685025, 691822112, 783676734, 871106956, 413239410, 21343577, 270721968, 712657220, 449310642, 329558980, 193837230, 382377072, 56442063, 86524706, 831310773, 169746151, 367909597, 904958945, 735426475, 261433586, 342632864, 452606554, 90712137, 66430066, 428028744, 826819421, 216366487, 99650219, 1009088449, 804531101, 678235159, 440199215, 996046969, 433471426, 732894804, 868509306, 139755678, 846394218, 722582370, 470991618, 339198858, 746779419, 297767325, 414245711, 993542640, 512190418, 130991801, 175740041, 226902492, 611218915, 996979770, 305965689, 33788240, 68995824, 296567788, 301139010, 378178981, 729587769, 478306628, 494333489, 253731924, 584135691, 288053302, 733972031, 66918023, 526337484, 340804656, 906262003, 1061460509, 233976110, 289152041, 458167512, 543125551, 1020151388, 1072296875, 753411932, 198934265, 1000398956, 170225568, 432158902, 440935747, 93619115, 554035570, 516065105, 620955690, 811709972, 42258766, 22121939, 158057165, 951460598, 722740975, 886017371, 624962016, 800510177, 72124255, 989359188, 984114280, 963837263, 547989644, 1007522493, 221790677, 899432393, 789425656, 394448690, 520356831, 762487920, 65859325, 925532817, 329804769, 998143748, 923003233, 121789853, 1073283344, 818557283, 300156272, 24978324, 176494719, 522673978, 972085350, 901485125, 1011039940, 580303655, 511267549, 244424084, 133418956, 893117777, 551742053, 175432454, 288787327, 395978977, 959545611, 591216204, 44802087, 956271264, 247807303, 549506284, 583797090, 727198290, 353413511, 248245010, 129433701, 364047770, 1029210510, 660122462, 843997316, 215926361, 206254492, 1061677128, 374749056, 233507888, 160693366, 731170602, 672505590, 141122541, 327323229, 1015054808, 514318437, 734494214, 338800203, 680428580, 1015658039, 142267451, 1025770211, 546353370, 225648477, 421404361, 1042440170, 953230590, 489923987, 982965035, 846390564, 237773667, 675659567, 519215780, 684166246, 588271149, 639112547, 161799849, 956951396, 863629878, 688572541, 310777392, 285908218, 532458432, 1028107698, 708916402, 47217561, 520884726, 524813273, 922082654, 830427294, 840238685, 260170466, 195562016, 140468263, 430401789, 641953740, 845669768, 1046740208, 219168310, 639168082, 736051296, 615660351, 832130922, 84581823, 1009240355, 448267839, 544743960, 199375380, 546523079, 477180930, 840723791, 52717917, 817694639, 711063983, 749342897, 710188142, 165203620, 339708109, 1054089910, 419048821, 789161757, 713525052, 14803904, 235523847, 682252350, 833773513, 969970064, 1044385216, 292443229, 955430172, 606123840, 1070909241, 75242571, 483674926, 663689629, 632196086, 814510284, 18492799, 889820243, 503956467, 754133550, 939809186, 24860237, 858391269, 995037162, 750438196, 818368843, 932196888, 1038958801, 489767156, 787839986, 194112007, 767677690, 319631783, 1020406665, 450975272, 99323004, 796003703, 504730796, 528154219, 177143436, 1059547072, 544921766, 96405323, 1003541018, 205188409, 962934324, 789230663, 180883596, 157732519, 800926383, 594013122, 617662919, 990943003, 809517113, 431156879, 569020654, 31685592, 142460743, 1036304701, 59406501, 960155613, 884027787, 57660697, 1050391187, 298856912, 700176544, 563018283, 119750569, 383569799, 466727909, 653751400, 937304393, 625054570, 950921128, 359094949, 265159471, 988887718, 414028981, 224653632, 208068402, 516563385, 419841009, 845012708, 231779161, 426220125, 799304867, 195044901, 212290376, 540345315, 143847403, 587574719, 113643808, 169181549, 492775195, 37966959, 395433227, 399871304, 177408588, 669391051, 260397618, 69854321, 552379399, 398658870, 916902235, 238721148, 319515240, 797758203, 554424153, 795828354, 602044102, 13064658, 764265471, 888537510, 1003330232, 1032084515, 969831149, 56273019, 892678744, 854751077, 916144854, 756757011, 720714570, 524017892, 819614895, 830045589, 211473775, 19031335, 974949583, 490743844, 730143436, 682695628, 749581276, 533075744, 592286043, 1044200482, 97399053, 815174471, 826927767, 351719589, 189938945, 634271050, 30764794, 92514180, 202819872, 278421647, 637358182, 426944421, 902664, 748191299, 783628309, 886638900, 807171380, 306753654, 972417389, 877339968, 452333017, 98643977, 662694957, 309037454, 966571983, 109379129, 961891387, 888999609, 353844916, 1049433288, 68988852, 1005586138, 414789824, 828555289, 513738471, 102859902, 949237734, 445071855, 977144025, 627334638, 444751421, 496835971, 574618657, 439911208, 277848879, 582284214, 928008718, 293097403, 526488897, 261600661, 877004585, 505944996, 1053165947, 19861487, 970595898, 367956305, 998812396, 849054267, 881213428, 46852003, 900677706, 42384030, 724833003, 526007790, 493114657, 262371854, 556866108, 638534430, 1009508111, 727684794, 670283320, 282961146, 84725917, 605717672, 826412532, 384657211, 322223369, 405359543, 984212200, 94691597, 746474753, 168850927, 623382544, 356389999, 811700803, 127392732, 903625097, 145231783, 699827986, 968822909, 959835312, 552988648, 237276792, 640400040, 628754043, 18630212, 448281928, 189359459, 495677212, 931157992, 496569353, 126116235, 381524474, 920263104, 820470895, 104980712, 72402131, 293923042, 6213209, 249205333, 216860747, 52525831, 161865730, 268787410, 26551211, 1039012797, 251041186, 618907114, 366558452, 733526686, 362964461, 958066016, 725941259, 298873843, 399770877, 405358859, 107739286, 951422567, 1058587287, 642786353, 650259716, 516362821, 870904007, 54492645, 835565667, 862546341, 483609359, 620938445, 872336655, 272131189, 204586349, 802085358, 123674330, 314720388, 273321956, 738718448, 226076464, 1058024555, 739398287, 248374865, 963549194, 47425342, 706004273, 767623999, 872977736, 855413206, 874706265, 800046002, 179175924, 689286388, 256789475, 575733038, 748494834, 730981217, 151537557, 984309998, 129389110, 655200409, 733084753, 907476038, 1070043817, 21536611, 350310844, 863924920, 873983688, 1000333371, 593081632, 336025881, 168508500, 432665099, 570787250, 538507461, 542904176, 108782654, 628404871, 898419364, 437095833, 397815132, 210473299, 959873401, 936005884, 953922277, 888451742, 1048157360, 541288663, 581992648, 1033781023, 278626621, 425538819, 269218683, 789420042, 153577126, 748683410, 1068841183, 1064786898, 648159357, 298410425, 576292908, 410390981, 535111542, 139606395, 127091966, 971160319, 399103636, 181942407, 337155560, 535156068, 259844497, 518349732, 277916447, 401070261, 120132980, 152602436, 973912451, 767286464, 852346808, 573442678, 348146893, 79219775, 657152050, 795106898, 1008197445, 261915300, 221299311, 904400016, 597521131, 951861389, 821776793, 1061936624, 890718719, 1016610474, 301435212, 118048444, 797909812, 770183725, 206071843, 538014195, 472554095, 742616191, 320188172, 18364414, 400357144, 54894218, 334813562, 890603804, 755982639, 640693272, 800757991, 288466778, 797152517, 639112913, 603868564, 609466336, 217257179, 450325730, 375759231, 814414966, 650095382, 56752087, 192472198, 618917661, 954886819, 73463611, 626774717, 564976804, 249679729, 273412870, 368624943, 627644845, 760301976, 645971317, 376722821, 144381898, 945418351, 713014438, 774723973, 208166879, 479978429, 1019376598, 341537813, 131713518, 139948942, 390165478, 912838184, 477957895, 1001016066, 813602253, 607817925, 236326631, 360306998, 857111260, 631832465, 206812511, 656439683, 1073139663, 81399044, 847935360, 748721471, 356059987, 156827663, 671984076, 1029574887, 316533903, 622692989, 796010398, 848559654, 339983951, 110902276, 371285122, 543022571, 561493497, 329821203, 252759425, 148385495, 700764064, 902030145, 104038325, 868233977, 931421411, 1022939705, 953107343, 100676208, 219287208, 674471876, 166453956, 698473472, 206576868, 561481591, 817657502, 390150905, 700603541, 799936674, 957283839, 650912716, 618735381, 221236264, 1035318621, 446249649, 570983445, 207040519, 499815062, 927629892, 276504645, 372910551, 647357646, 1015900317, 543521543, 174967954, 908685647, 1051536401, 508560472, 114052652, 91476454, 731515692, 825793339, 931596884, 218195587, 804123237, 351546139, 412069301, 783830134, 713832726, 706719160, 641288634, 1052568745, 862671824, 462875904, 220723673, 561175164, 1014752318, 621376958, 860486322, 208895267, 131573229, 337734674, 807852081, 625352614, 357293602, 1019419724, 743961669, 658688198, 780400839, 1028281954, 511890352, 536361221, 311391148, 415816546, 230214934, 38912737, 321020546, 519407010, 851759726, 989925541, 528601945, 833605464, 303465056, 292575051, 643904326, 82733990, 190457361, 409448643, 768047701, 372968692, 59727993, 599495090, 318621509, 294152430, 422118164, 761981031, 1042078154, 954784731, 533301194, 708438920, 127003491, 249183038, 482016549, 213557936, 925180968, 812840240, 761217037, 576371936, 325705339, 711469617, 359924252, 63100546, 372356073, 696256967, 660648263, 567841524, 557704466, 562868553, 462357838, 252544631, 1065490336, 771396456, 191840739, 724810508, 839191586, 1000339916, 35005212, 715774647, 707796681, 213332037, 1030603359, 383089135, 796462792, 524091812, 753365437, 168798826, 619694055, 721195426, 935541451, 253642128, 1029486294, 510150708, 344890331, 252775022, 897684984, 384649680, 405058262, 834744037, 432345149, 686995734, 771132995, 352403402, 185570732, 775191651, 227203132, 758437465, 155150804, 996685953, 876132607, 473461576, 604912757, 578082714, 1033313797, 97976428, 72615267, 53031448, 993771522, 767713388, 750714087, 850751612, 369794634, 826978596, 839153059, 783791782, 381489070, 438885591, 46009540, 258942094, 1040318809, 571401493, 504246757, 370597378, 184282095, 772340361, 490714374, 224777971, 200949656, 289861593, 60900172, 197944794, 360828128, 851955166, 503311591, 769398196, 1054077872, 879816452, 549495892, 963256859, 633020661, 77702832, 310407055, 416679784, 653993952, 3712229, 359596469, 413055763, 4150204, 444973599, 542151813, 474516446, 695700120, 107296472, 1004009330, 1068427433, 403296516, 349280746, 458375670, 257979966, 964634612, 155154591, 283186304, 472372003, 244839375, 59804753, 29324212, 843005238, 753878151, 659731517, 691018419, 289719862, 289951751, 185720734, 95318151, 617709978, 651219211, 112647468, 851959728, 390254899, 263391673, 107523226, 639056875, 1014263634, 1067215853, 438803896, 289017287, 414732304, 750547512, 422833458, 509257710, 775779782, 893783652, 225183757, 768534489, 736650612, 396468485, 786609162, 646106450, 473159223, 440898989, 662430313, 723364543, 267464502, 814675450, 587403726, 12396665, 111507577, 139578078, 17115197, 74912988, 571289947, 834603367, 681544633, 86331106, 874758574, 112316186, 929977090, 256761480, 27802924, 304444259, 990648072, 416173362, 472012520, 738790425, 68777166, 332976942, 154000381, 548445028, 1033093734, 131993820, 810329269, 105787912, 316759373, 446010836, 382466401, 1051854537, 252354871, 978975035, 505605346, 941136318, 624830455, 764625852, 211925104, 787676633, 438124261, 338130422, 297739050, 643359501, 74277629, 195089385, 692996523, 698652776, 890804538, 198013705, 233395180, 402103899, 204283840, 132700062, 439013229, 803515625, 494666900, 909736982, 502985105, 1041729486, 833192339, 765076616, 506878948, 243663746, 579013184, 879884510, 74978737, 462143878, 649714502, 728942234, 484545055, 37881914, 716318361, 915976367, 588767920, 491138069, 747507735, 571720335, 831406254, 374954824, 246374860, 992862601, 197627373, 401051130, 240641200, 876478745, 405235804, 178633548, 575010651, 446146830, 623137254, 285317420, 905380569, 91315619, 588631900, 1032740703, 990494575, 342763311, 76097338, 185184737, 359451719, 422915903, 138667457, 787645470, 674153705, 712051081, 171885858, 761666572, 979592228, 1026257949, 1002376236, 734232976, 1071546639, 603012582, 921248939, 941070906, 208203103, 929245171, 652678470, 761577208, 297656092, 187175862, 68445526, 426373495, 1022371788, 904173365, 702552848, 768813177, 305927671, 76857545, 38165266, 953897917, 265479500, 316903681, 536961808, 912117955, 1057716854, 923286080, 262368542, 638893694, 336840603, 448135071, 22886402, 611646043, 977054256, 413352299, 848517238, 629218256, 1025420627, 372512818, 552965879, 331629228, 246920331, 248558178, 729917591, 17135477, 428942023, 747476206, 374217916, 726537932, 897484681, 435342434, 229153611, 609584226, 103730942, 924218829, 191087213, 286956298, 909532543, 366834369, 595680642, 66724502, 709445723, 419862178, 572411315, 682934045, 1027742009, 936314046, 722285314, 851002216, 494651676, 366124055, 552643893, 559714500, 363545437, 1021207446, 1018806190, 314809077, 497477754, 528714062, 191019560, 316803570, 124214351, 773499507, 976455088, 799901533, 798305186, 535055679, 406138421, 643073314, 1041132772, 501759350, 625788266, 447808213, 1013821227, 398364537, 202882341, 1046663685, 564004078, 192448662, 223978374, 661943885, 661687402, 915999237, 976884544, 872567136, 577978640, 713759183, 901500437, 189686734, 1050072317, 54359062, 572555497, 966225076, 690057232, 549204458, 901904723, 346350011, 593833046, 798586054, 426539444, 580314077, 139381842, 858762917, 376503974, 334145929, 984639784, 509392279, 776493032, 55806477, 129900715, 92543617, 125301079, 242076065, 690683688, 1055741152, 632986529, 455847834, 409642594, 110745962, 858563475, 933960509, 928656845, 409264853, 252334799, 304704788, 498120638, 347852470, 485471815, 850197092, 295963686, 231545575, 505709685, 31193549, 398441594, 628787149, 553881594, 625660279, 660303065, 513235535, 265685636, 34120092, 944644358, 987763707, 862525355, 283611191, 283618857, 116650933, 275706336, 389678748, 484598907, 446815601, 1002676155, 118790029, 652537062, 815421052, 717427253, 770184661, 162589089, 555914280, 827462857, 699057165, 684456930, 407611503, 671691486, 174702141, 59509801, 528349623, 1029912966, 1008907353, 367292755, 479609782, 1002389456, 901211146, 896493478, 449795938, 97459191, 47504795, 546966003, 692419314, 745641321, 819145339, 663640805, 256478931, 94588676, 148173009, 30456941, 1058989677, 268547492, 616316806, 468383834, 350951819, 72236094, 263105657, 529242239, 454354905, 210084717, 474902926, 700066410, 574278675, 879191166, 110652370, 176015298, 198724836, 54542089, 316608909, 476217544, 372789465, 311449473, 656624183, 660185683, 254292739, 708416611, 1009836802, 60875028, 428930774, 792386872, 235872640, 714555645, 85662484, 119535198, 885477610, 704881060, 747148362, 459698433, 815646237, 993210892, 993433830, 31447585, 460787077, 515931002, 357202116, 1050367799, 22373039, 269565051, 219870236, 565138487, 111967056, 973617672, 152166455, 862663825, 579793156, 943869055, 389067592, 496393830, 832934039, 417804718, 775713033, 528799751, 77717028, 713521882, 760104271, 195853625, 692129446, 715292547, 753269493, 521531688, 121663174, 411073963, 16332214, 466332035, 384786246, 713483966, 1070776834, 870154514, 241016320, 182355831, 653230790, 533910764, 72520960, 981074069, 436277083, 265157131, 260332289, 832984124, 610290119, 556651516, 1025073302, 88008245, 256774399, 729400974, 509305174, 877175411, 564526346, 996810674, 845321353, 9221119, 928730484, 3025366, 90350874, 943854730, 454952927, 464359059, 70892632, 1068245270, 660928528, 608087899, 254509567, 520449546, 139161049, 206351689, 822450300, 520105523, 665727828, 877798290, 297823048, 115937985, 774749656, 918936575, 801327555, 1045626343, 541463964, 264237333, 245627802, 883454871, 107593579, 584392651, 788557697, 834485898, 391517378, 525455111, 480797854, 322089785, 382631918, 826516435, 932355894, 299925095, 235329948, 439115161, 684859552, 644647278, 972950958, 176481139, 1059277385, 39917227, 467154974, 246596754, 854758658, 614015815, 575244938, 1070062874, 38502374, 426800317, 872421252, 744398577, 229665446, 233687140, 477719110, 1007240870, 66842789, 112237698, 955872615, 320812034, 1031792405, 961204511, 385963450, 261194937, 37897904, 154607793, 48650514, 630133011, 502358883, 191644191, 1036162597, 1022715148, 643631741, 907990512, 915965209, 509911333, 963779685, 529896031, 802839401, 679723639, 1014370560, 865285482, 392270681, 22152923, 943005180, 207262362, 765355336, 525628782, 341270649, 159232019, 599489904, 88149331, 24146848, 156465268, 671897231, 181380307, 868711031, 579631552, 85927088, 524479771, 72953518, 912816408, 638678492, 670915033, 889579897, 159508224, 46694405, 420651125, 607592705, 241551140, 84559770, 27257365, 59927690, 746600759, 296570579, 429704288, 657512202, 23609571, 852006141, 623755526, 430068945, 965834303, 992192383, 647842174, 201043191, 445433833, 24280700, 139160684, 599868426, 51921023, 341806627, 333088433, 625790013, 879235787, 778282754, 459715932, 947051428, 879450797, 896336014, 88866441, 964047493, 685516444, 494708265, 969400302, 164167879, 726204453, 154509638, 468559335, 427418435, 379145291, 186629290, 60911021, 118424738, 637955552, 833023721, 811067152, 720737555, 50230189, 954781377, 630904722, 426629224, 748623849, 987367102, 528066387, 837989889, 778603303, 443243796, 8580728, 614163886, 49345827, 196146082, 732501802, 666909770, 709639136, 479284683, 361815749, 669986294, 19571390, 967460673, 346890161, 363292058, 660357436, 482606299, 1016888446, 187475589, 891484349, 267244196, 51024563, 442459852, 837910654, 663865083, 797950327, 221915484, 364082808, 802721085, 684352219, 944205829, 551268837, 261902313, 221731138, 18753236, 797741865, 654193798, 677340626, 434079480, 86140997, 1053258792, 708989460, 815020291, 361803183, 521229165, 33514508, 425709215, 136151262, 623041766, 286484475, 757803676, 232729224, 141919488, 239784060, 686845409, 51263191, 27521725, 222297031, 796613731, 527064284, 284205066, 790474952, 727411155, 222660883, 661637843, 594940991, 957484926, 948042264, 829534194, 394346530, 641644727, 463114411, 210884609, 634101307, 6096773, 530756011, 531051076, 285304092, 748801429, 1067626750, 1029567243, 6247999, 211044410, 466405818, 1042463539, 173987987, 876478824, 622091163, 318059179, 450462235, 253082522, 638609222, 1046093738, 544140511, 243859841, 761185033, 357729520, 498302743, 943649373, 830632336, 409775022, 184955569, 82803075, 58800551, 40709622, 580993535, 694299405, 579746636, 359039397, 357236682, 811917589, 502952096, 231009183, 425276606, 559887116, 141950323, 707714418, 887805578, 953567991, 151092296, 216377107, 1019497361, 191877859, 848423242, 960075070, 765473128, 131611197, 166456650, 61129101, 1054605512, 515665239, 166382560, 483578061, 283090130, 384388068, 733851246, 565336307, 433438029, 176447308, 574409154, 769292065, 57325318, 649921495, 899868385, 446025157, 701690470, 533421785, 632084014, 1263510, 656425859, 957455753, 396025698, 815858253, 938595537, 192765624, 1025603591, 545967349, 98727256, 305916490, 119718886, 385879636, 288000400, 747911523, 1036540077, 585332841, 315430842, 5635079, 613150671, 215556454, 606099909, 347122249, 532591303, 1033920912, 418069893, 921926005, 125788724, 619390806, 951701223, 230916674, 934312200, 655894738, 424828490, 822525693, 485376216, 1255025, 520033412, 288449294, 657280349, 383812856, 689616080, 60383317, 112763040, 1031083104, 361220533, 31307734, 480547071, 1043962295, 386963852, 308381067, 39318620, 806590086, 811239344, 44037295, 264322333, 1020604088, 291268168, 51154580, 787550297, 379784370, 781512910, 128700959, 941957562, 612534214, 241603634, 142158963, 877491445, 1043374192, 557893673, 618304732, 833445033, 10424989, 67835217, 413591863, 84867023, 405150259, 416829152, 529162280, 472717550, 1054887036, 511573540, 123614480, 957160181, 14441860, 798797042, 196353680, 838898470, 346969502, 100696547, 867976575, 560661065, 657101521, 900973164, 297206104, 30120765, 404554224, 859529005, 969404876, 1027483856, 229612132, 378932470, 614064274, 735428456, 400826374, 202462931, 652739585, 853494026, 685490997, 28936508, 7400528, 956894430, 341012265, 638164476, 528434788, 349703458, 196073524, 742896907, 317969779, 1070251113, 1027254058, 626159592, 526407686, 815640378, 238547805, 86775055, 321591459, 33748227, 752498149, 158221360, 637974809, 926584148, 536321269, 155445654, 629436092, 104896687, 830648438, 740889415, 41439875, 226423746, 195194331, 678462282, 507899542, 420276967, 238523765, 503856520, 803817203, 492315661, 693861596, 689977395, 544311178, 457659138, 968627785, 821092820, 514549692, 433853735, 298014099, 768044904, 704525758, 792683559, 1068007884, 1019511429, 651197495, 881817515, 848939432, 748425424, 845916875, 132192991, 246628670, 148612420, 194895615, 1065959116, 1027176554, 127878313, 159593590, 757685938, 425433051, 207829619, 1063183233, 1041242303, 985434950, 928270809, 896587665, 261955776, 1037277397, 71003944, 973276791, 607439161, 714242721, 29656293, 26413278, 800989, 618482231, 996595001, 658152939, 283560923, 211709357, 213102009, 554983271, 35761104, 678824349, 431036025, 764692573, 411748447, 816899786, 200195038, 8666298, 930268142, 676534646, 362464556, 815272861, 365920889, 283357677, 391998045, 1034376496, 634092771, 402945985, 890223727, 582427710, 301382357, 344724391, 579461006, 542741316, 692462750, 601936425, 265542090, 339843176, 717135827, 562111084, 459632999, 168027831, 199463801, 862687495, 213483826, 1054030573, 1072373130, 916939175, 352137318, 90951833, 985200612, 7936043, 121056942, 861489625, 633215294, 371686155, 901868126, 454856909, 140173762, 368929979, 440141878, 926233938, 739602765, 812631130, 497361658, 958187970, 910247533, 481661240, 415588442, 210034947, 968262606, 504327859, 826319830, 963265214, 470449853, 684370463, 915965408, 254541669, 293425743, 413355734, 148384079, 23509081, 792050624, 212265821, 972980495, 796702208, 836177517, 384625129, 692179992, 659616969, 690460485, 125440243, 212797907, 901378673, 595996088, 537658467, 1027110832, 1018050997, 687528789, 103142112, 494060575, 587286656, 618022589, 554396358, 177022245, 431806756, 336782843, 918011955, 893575024, 1003512270, 190223197, 939110294, 535672162, 147138973, 362878889, 601630092, 1054716554, 744308473, 11429154, 867442601, 1023851826, 1029475900, 185887759, 781667810, 612406415, 59954283, 577562630, 235662324, 297878842, 608133122, 6921475, 449763879, 356141540, 758098286, 70726297, 207179094, 863370255, 506400861, 839718663, 114444339, 822204045, 973812842, 503960451, 506785404, 80705736, 783216641, 65231954, 826678307, 415101587, 613471040, 969306614, 191405560, 802163884, 411938125, 399129112, 370491718, 348602650, 220019945, 850853804, 838891368, 439313110, 1006188523, 590456635, 66350998, 550479914, 361536506, 370404836, 220074598, 320602837, 57438006, 977836603, 134225186, 1067189267, 72978868, 13964640, 674086112, 1009607606, 717742884, 854214460, 1027746370, 805190860, 546026538, 17793488, 32967336, 599616125, 979008208, 787866287, 58641859, 873262916, 402854719, 383320163, 817587062, 858381688, 558822070, 185559208, 28149468, 392196998, 477389119, 488204513, 328488351, 1015357707, 620103829, 27482420, 829686011, 623353088, 587032010, 214036783, 720940938, 535146398, 251626733, 178709572, 991803512, 477516899, 244868987, 93067131, 128380265, 886928774, 466260593, 621508917, 532079222, 949278186, 1059548063, 883257588, 282079835, 765781170, 360171282, 533125982, 742025858, 28866221, 610802925, 981843319, 829631986, 557061690, 313384014, 76328337, 250195962, 8060463, 155507501, 295344933, 791017978, 931915752, 608072564, 102113970, 703957785, 749100290, 913889395, 1073693643, 213888980, 434318899, 868214999, 1045882349, 771405650, 375640544, 693646406, 393291780, 311661936, 529048419, 975750544, 1058942251, 414093255, 982088166, 457680952, 92065080, 311616506, 1019912917, 1026982138, 439002020, 950175159, 403306115, 960142184, 318459185, 533179405, 954922655, 729836895, 125052357, 299425874, 744510629, 885717910, 209254204, 965325904, 467550053, 65497386, 328889359, 667837289, 112577040, 101288090, 986082243, 946171834, 374093143, 992336695, 942352224, 401350229, 478465374, 597314754, 172125072, 57121425, 222898811, 934187815, 863288352, 1016921968, 647838560, 241833660, 123424195, 210360524, 308428188, 794260039, 1024306639, 855466803, 283475416, 773473840, 772791857, 754769725, 429528791, 919872521, 241303931, 474040632, 932122053, 278137706, 1042861519, 616334173, 377407107, 714972147, 698588334, 855374062, 484343313, 701413587, 872143476, 878810349, 926667365, 200552267, 946719198, 182008735, 36598444, 116483134, 297891798, 1060850652, 512912929, 111046, 876704564, 753231519, 21057004, 846891782, 213716646, 846774225, 974327996, 762937259, 497094833, 729186265, 322955357, 561192869, 371934869, 382629147, 55171897, 924235668, 843294746, 983603887, 94703415, 126837692, 734366327, 723946571, 511978444, 360238531, 682184746, 1039759704, 62683055, 880866605, 930644092, 231155629, 547199257, 548224862, 178306188, 802138718, 42713737, 357326814, 266087873, 838970142, 633592269, 628274149, 242967116, 1016677213, 319280143, 205573516, 1008980611, 918927106, 743148510, 357606650, 577634120, 838850122, 765960572, 1066266222, 245170439, 255078527, 365797474, 494856476, 247462304, 92582048, 756872965, 492919565, 178976865, 321868042, 162192977, 744350031, 825702490, 253665145, 501722552, 224192680, 684103307, 643094812, 989095588, 978389986, 653393734, 89936128, 268379409, 201753666, 367003011, 52455190, 302911993, 900471343, 180527632, 817448583, 213048329, 238813080, 396849037, 586713734, 884224468, 110304325, 835987134, 774593683, 317126812, 918033622, 220081913, 118999990, 963965549, 1002525783, 535726316, 1070431449, 58689338, 378248663, 76099029, 827254086, 184293218, 679723035, 507973717, 560250710, 509578371, 1015863253, 835296500, 375765234, 239444988, 126284702, 403946062, 93527478, 562094601, 414256655, 503736903, 838174053, 1000261527, 424567323, 367402064, 856370446, 812975043, 379288687, 351480293, 174424719, 89104697, 599378790, 119540262, 522441647, 515519776, 1073024836, 394515867, 52383918, 930446305, 576967029, 790689275, 133075904, 675834852, 450085347, 709508807, 392877161, 1019347279, 983862975, 180372464, 254879117, 483495921, 328501048, 82614759, 983494403, 804419181, 1050345844, 664537993, 638407538, 718086644, 835917289, 1041734588, 797733909, 490830246, 206548463, 469125346, 73448237, 704735351, 390373717, 666515000, 857525286, 837936525, 894094970, 1021026143, 785354813, 170986844, 1025767085, 370953679, 507642016, 733441611, 567447268, 599218402, 1043178235, 1047139983, 32757558, 160145155, 996569501, 443418087, 1005939635, 863981206, 992357087, 803143762, 560485693, 403029012, 911911888, 567826236, 793089929, 717696272, 812368587, 294736472, 509258665, 1049220963, 765484263, 100739993, 673300377, 67806107, 25649355, 619640883, 710305019, 570528474, 369951938, 709622529, 77255067, 495886231, 514430257, 197510271, 859766324, 754654872, 196220875, 153406354, 739330988, 489873168, 901833928, 900462895, 34713617, 230359982, 489988956, 423676354, 39269575, 995937401, 667692388, 284582302, 131261558, 183163797, 482401354, 434977103, 490526271, 17707577, 639637999, 656630338, 1011299127, 952291500, 143779930, 74792763, 212559093, 168462572, 174116632, 422754233, 986852620, 126317700, 270070501, 269320652, 854898958, 573904861, 688013614, 927268050, 864061247, 1059494078, 600115574, 248793677, 1058355360, 454683294, 436072003, 172645748, 1038125816, 351428359, 706069588, 942264705, 872931437, 58020774, 982533521, 323764480, 85228162, 675311246, 99772360, 7327466, 743833781, 121483350, 122085619, 56371099, 66240025, 391052190, 82404440, 424326140, 247399296, 408683633, 990335776, 484590350, 827523540, 27648584, 590127694, 625543072, 507848208, 82188717, 484035727, 1006616728, 777840096, 808977533, 177109147, 932994566, 442779758, 333965126, 729155411, 205743646, 586347332, 252395901, 299736405, 773583412, 631408969, 334720216, 55659483, 847486184, 954736615, 666877381, 242052607, 274745723, 382721144, 331623158, 336859545, 226751772, 998287664, 849340717, 792992714, 286687555, 367751925, 441576690, 867162760, 1044009470, 933362916, 412276620, 522843891, 831413976, 347858816, 104925261, 715533556, 74237857, 419033593, 970176567, 622781424, 123791407, 995073315, 312953992, 232350547, 954903409, 855808150, 968999021, 165546475, 1009720044, 495133758, 756402554, 966845553, 867772719, 30270200, 401987815, 317466664, 427784919, 238854997, 865709611, 10691605, 585926293, 129285769, 620003820, 498423300, 588912446, 745880985, 308428258, 986609879, 44315040, 932678339, 627417659, 1019467912, 516207022, 391653642, 430581147, 903379848, 85580923, 123119500, 707230802, 207785582, 195825261, 701550843, 107453312, 813746863, 24403845, 397817088, 5942064, 1061416454, 825046332, 338553370, 105291157, 893391925, 425124309, 533896161, 183578462, 625041607, 76987902, 534722013, 878719484, 569603750, 145708791, 800466373, 488224372, 555334778, 129292549, 979945876, 624452163, 176508114, 335639218, 409493797, 857293150, 233772555, 1072128590, 730212541, 374170699, 985894614, 821794917, 132821940, 655642308, 742059042, 629023920, 770389258, 358452924, 247876355, 794957796, 531549398, 994704727, 363246741, 807052239, 200457868, 384327577, 473334713, 443926426, 921035023, 9382628, 529312698, 706018898, 1036719937, 82305694, 307959763, 326407914, 127044048, 320135219, 547771401, 730436903, 126506345, 248408676, 513575697, 918461348, 1073271335, 929434456, 213137310, 824502458, 640078596, 777892150, 663283186, 253056309, 686734655, 976089869, 226738890, 772388076, 1008434622, 196720775, 987026433, 251354947, 181965863, 8243011, 1052052638, 573292622, 708143972, 479681009, 215706190, 261652624, 737906622, 263590731, 1032579287, 395870710, 385807485, 886836782, 230527197, 772266480, 151942707, 604439816, 140709325, 357830541, 415689792, 83733354, 710374368, 618845631, 959507776, 506725168, 790004831, 68213618, 781613945, 776378317, 297695332, 508242622, 858452274, 703541387, 195590783, 537345002, 696680657, 28340736, 227181874, 83829578, 27163038, 560558335, 775539399, 1059417489, 1049741285, 590124423, 996459002, 745036097, 605813332, 545659720, 312890312, 548136839, 59381044, 750249170, 471606296, 229750162, 943872036, 379564018, 1019237695, 549096513, 366387948, 88031836, 457155297, 871524700, 446765225, 934942358, 900955812, 1009438808, 80178984, 898863225, 831670679, 821627940, 942208525, 271175, 955954852, 1050551015, 519844193, 640241982, 29104782, 416034323, 112876304, 588851889, 496143591, 451505808, 156490950, 941203, 610398013, 727730887, 688244943, 108955023, 527901509, 239654410, 535962845, 366649024, 287764436, 200600286, 892448629, 760249586, 422988577, 322323145, 155305476, 787912417, 282798129, 1058905247, 1053044620, 262120482, 772944226, 731439641, 488918178, 309721317, 646701464, 284240366, 429893019, 145989346, 846316220, 205812038, 702529514, 695043919, 194698046, 114925692, 689482397, 97983540, 230784552, 503158840, 288602720, 969277401, 366364483, 815742482, 93642190, 835982968, 452314109, 919780442, 66275040, 895054924, 277223424, 192693628, 381519106, 774467774, 573186074, 657089188, 521757607, 421785246, 106454412, 1067929818, 1054659176, 1045924893, 507888017, 492237306, 560774644, 994385360, 399538959, 365531000, 795987803, 320194318, 499618159, 758201312, 481267612, 542039673, 249018286, 310113511, 677357455, 750790845, 371712766, 748650747, 120426167, 563764074, 441505723, 315819027, 91482845, 42786637, 824357051, 362419084, 172701696, 544036702, 828184091, 340883770, 83939996, 1017842204, 763351222, 595525297, 841342543, 224286707, 261932748, 291914485, 808304133, 76528932, 732974355, 80592944, 966516357, 7661810, 644718496, 288966741, 127276408, 131283072, 310434043, 1039195897, 471908823, 11244062, 1072784067, 993193470, 642482603, 794242527, 475104476, 682426950, 1012657254, 307679655, 838680159, 400388506, 1062226611, 195653207, 785303726, 967323691, 680123967, 474050414, 849385097, 854883178, 191697255, 937288362, 1016238480, 395065887, 845262350, 904841465, 181142836, 725903073, 988114266, 1036727363, 595287243, 88851232, 956565222, 651338627, 314405057, 610983447, 365445108, 562488078, 898237141, 490488392, 12847436, 1030084713, 304782273, 39123844, 150518928, 617766077, 562303844, 127405928, 118902814, 391076987, 95105027, 34409584, 539892544, 1037906000, 598759413, 163337005, 594475276, 691956487, 139172956, 598357383, 347830804, 889547522, 772339740, 51210550, 283304570, 334808854, 353175837, 894256546, 479266475, 6816740, 792139581, 1036750166, 902730234, 196022765, 16588798, 62233359, 974059246, 725383514, 701281760, 17827423, 60903253, 571179431, 960544026, 569824907, 291306162, 176055219, 417092488, 1061785725, 448848261, 868604111, 75266764, 1011661537, 219080040, 480206279, 306024371, 112921794, 1066765525, 617457100, 89316865, 910065933, 737070236, 756672443, 608191006, 21070737, 892996042, 1006070724, 295847707, 149390761, 1015842706, 280380347, 961915018, 585694407, 516993429, 355160833, 1064674333, 864239162, 806355104, 1046998566, 623971474, 241644792, 979900692, 393116426, 47028066, 621558171, 1043514816, 118152702, 959478688, 770198449, 262827112, 420415020, 44808525, 494862339, 631132376, 693233032, 1003753577, 935668297, 942445976, 347065996, 692223357, 148425327, 73716484, 617207435, 642421515, 1030700992, 1042373770, 429963519, 649640916, 274613401, 999562146, 99297379, 1020470444, 491706384, 1065867129, 901831751, 73276720, 659943312, 663251606, 998548706, 475869609, 830453649, 927838174, 620048731, 658217581, 444444407, 523709707, 201976614, 908266261, 157098698, 300731124, 195444173, 574164719, 517492197, 439928869, 829958229, 863368271, 592131918, 535931406, 975307108, 141267461, 1048598646, 843909862, 785445066, 76189844, 712681175, 522931022, 741390684, 163510018, 829437905, 193269346, 344356545, 199177091, 601608810, 437248743, 184032992, 1057761504, 411384144, 61754757, 413846689, 620639049, 529037602, 570226059, 966141895, 124068892, 927427942, 288178174, 690663847, 415709200, 755755754, 335606175, 723212606, 496633269, 21356741, 523906487, 528307052, 591580142, 688901068, 895854419, 51050863, 153521455, 550162093, 538681763, 665588937, 834354219, 397764179, 694448629, 172242186, 718130365, 167068843, 535151981, 493283560, 396759715, 537005770, 943616051, 305658689, 916376844, 42693351, 185392894, 116287839, 160522472, 534309278, 867175085, 761091722, 715074173, 564178920, 892635861, 867075895, 602414170, 593411798, 415617047, 909423780, 292548279, 736880927, 828120757, 785063134, 230012968, 463495382, 636571588, 570595897, 171814759, 1003227052, 229422431, 352017287, 316361323, 687383453, 341452989, 501256239, 701372011, 720325986, 163375228, 272811975, 23088403, 258393327, 745118817, 502611344, 515905616, 342885172, 562335523, 715815668, 997669692, 554018518, 659362278, 675542521, 790905812, 226766092, 202547181, 799973876, 150930813, 366059209, 180087580, 553952815, 624861328, 859844806, 527534008, 219352507, 994271065, 853490992, 1007048959, 1033151581, 810031587, 197276377, 152042837, 310229424, 328553704, 357219037, 387492606, 638043225, 31130642, 223913867, 322802088, 933272721, 379097430, 818955084, 184834689, 624767030, 142102674, 749478576, 304813712, 284428871, 655828641, 378365669, 924234396, 70787301, 14033433, 93043730, 986245962, 535351313, 493648183, 121817854, 188017893, 248698218, 761044847, 58695821, 927591989, 212246022, 967384711, 79346265, 286309021, 115726990, 776521569, 453337042, 435435374, 412607717, 1052266830, 527252382, 580820013, 256078843, 17718404, 85475749, 647242474, 1061440178, 836489335, 397826104, 576430656, 944043087, 452006597, 994088475, 989755819, 715120488, 29918268, 743932762, 545051491, 853972440, 167376190, 301652073, 519679934, 513028392, 1070446247, 715843450, 176012748, 242531236, 657778776, 783314109, 920441321, 820573057, 386199626, 75188903, 859235028, 158316074, 529518690, 701818356, 25968160, 703073332, 377567765, 24221898, 614714675, 821437354, 908201392, 386629189, 157824974, 681326473, 715146630, 1003184248, 617732679, 190547780, 449612082, 777351137, 579169221, 760823318, 764851833, 722621490, 952071741, 676817279, 738265248, 683807668, 614829341, 882283201, 377634095, 322616508, 297320992, 635664974, 69913397, 366648981, 960446373, 664202259, 840626816, 152698965, 866018144, 879743789, 399151338, 349926445, 46407672, 971596890, 546553585, 630172322, 404211468, 277477485, 26776302, 654322282, 923216180, 673980965, 449508153, 651142746, 404930176, 798099553, 335700758, 660037083, 259167543, 254169961, 643681548, 398033443, 133372389, 10138583, 712029529, 375155389, 705365113, 923283156, 236614211, 788240665, 1042597032, 684546801, 94294270, 289411964, 775840198, 593887078, 453849897, 844618852, 155983648, 376652254, 732831085, 1003853562, 141334613, 208446081, 925289518, 888642929, 883113122, 997474221, 858149591, 195811971, 928493900, 872124402, 954156864, 891013171, 862336873, 757456777, 110839713, 1002613090, 493144083, 789298856, 403485825, 220460638, 944253541, 132521009, 438620346, 523075888, 383695165, 884510631, 633446427, 964381868, 27767016, 684898511, 262949470, 438254262, 264098649, 912847889, 446670881, 998457655, 819734220, 601060361, 761460767, 531227948, 317985632, 943325998, 805431991, 241763649, 666687984, 556934690, 25237654, 322190573, 453627799, 770529971, 65620966, 193786019, 946801790, 871433289, 1026468024, 157645876, 112716285, 372653626, 601652247, 428730643, 15155309, 8551094, 281352619, 581124206, 651690171, 483670185, 525947042, 617691336, 989319203, 283362601, 447877417, 829355094, 426243881, 581956338, 296595363, 789324827, 116268021, 372553282, 130199276, 498523803, 722121836, 367328239, 846023393, 972456731, 569083348, 666305374, 222474906, 824303161, 1004823323, 17913262, 738000261, 933130240, 120774789, 561269334, 473401620, 1067620485, 844286534, 539220515, 366072789, 6052528, 121354411, 629001217, 874491474, 185813625, 854102676, 365582621, 232218979, 163184656, 1031958903, 572853452, 245254724, 859865416, 860304836, 643675995, 444121428, 835434027, 591527935, 311427536, 575471920, 211591986, 386688243, 433932163, 1046723087, 220188689, 504179714, 157627131, 942138004, 466864861, 820306958, 803456362, 388136901, 702439144, 247508042, 246892194, 359680448, 264745945, 582240272, 317590249, 112699566, 474198109, 205011931, 1015308674, 3346557, 19878199, 97797515, 574070002, 183133314, 381312521, 994377669, 140660095, 160188494, 686471934, 646164979, 909895530, 66306823, 859320746, 472507045, 969623651, 810953425, 472582771, 594323668, 89769761, 42864710, 708755749, 963368256, 590256443, 901351445, 674562564, 341958425, 1009394055, 1007260068, 940946647, 184856157, 975581399, 166014378, 545128759, 21439876, 241194011, 363706556, 115288951, 64424234, 297872135, 203196643, 453054164, 550117109, 847513966, 45441844, 375095301, 168807992, 427414352, 8404805, 223883989, 454635689, 961331156, 688730702, 508633126, 324086378, 449742204, 652410233, 885644888, 248328797, 417918845, 795532993, 636253332, 817447657, 204380437, 296539169, 394637699, 580630790, 377829301, 435199029, 442664117, 583733267, 817828999, 324709661, 581858649, 243606433, 275983611, 640316541, 446942248, 111254798, 461468649, 38838063, 428895508, 361978035, 705799711, 1014748447, 13114311, 872896005, 93572248, 57250322, 576875715, 84295298, 1013664523, 88821573, 41270377, 237460743, 766016438, 547031032, 483391059, 496848590, 354491037, 151589763, 653182201, 117801834, 298160091, 789896649, 253813791, 564710494, 38738186, 780406155, 294957876, 337935627, 844247498, 604529185, 337761682, 899154295, 161652913, 261863588, 479396645, 589602600, 319514543, 178952086, 43682339, 833175786, 380599927, 494376087, 408055640, 283679372, 576578239, 685619542, 294252394, 764642087, 736566673, 601466926, 290254256, 640175473, 244862966, 384196485, 1063492328, 325013314, 685455340, 350122375, 1032959863, 1012957877, 744960287, 589217673, 277958791, 981481545, 47885125, 46335031, 69238605, 983010589, 806793922, 649338537, 86559764, 970914099, 608946689, 156622162, 34887200, 166903174, 625860354, 729006794, 991419424, 327262412, 63633533, 397609944, 1032889552, 42827279, 119596529, 488311313, 701871168, 960548614, 350199509, 282336898, 699900805, 82385448, 281139135, 878057199, 257325187, 215340556, 589431077, 809432198, 510041711, 89732982, 915151321, 259348603, 841532195, 1036573315, 603154624, 765943724, 836226152, 489087773, 1009766285, 90111581, 761998129, 571699883, 122418714, 529149788, 365600899, 908834671, 163857369, 130761979, 1007348368, 626325102, 758756606, 1042288495, 293682729, 505585887, 930228324, 776304474, 745934357, 540637036, 863837585, 997209082, 593933805, 753094564, 660318325, 167248597, 792164457, 590066740, 984810286, 480710937, 688425652, 68300134, 136009136, 388992089, 806824207, 468481177, 267421975, 145793113, 402289599, 302862859, 284412383, 960023029, 583754462, 323662636, 3157954, 221834796, 787401057, 1056655456, 107111423, 290421689, 638822311, 27507717, 304295003, 238615853, 551468042, 11188933, 329288888, 44850109, 204345160, 721123264, 258277381, 871322075, 1025735042, 270110610, 984640332, 502920415, 330471096, 179354624, 270049604, 565992901, 813748821, 131041446, 674190814, 994094899, 833848738, 184138440, 726194920, 809560069, 798788952, 1069930903, 685190077, 636813942, 577987999, 848888378, 492490128, 32226228, 583254763, 278550338, 398267600, 810457848, 447304337, 814170369, 645877681, 425278874, 615592950, 489324407, 782638020, 505643085, 917371222, 711839671, 18572635, 111136592, 596708455, 622233589, 545055368, 136526839, 1034418498, 864784301, 225902976, 914177670, 1050015486, 189333267, 115519676, 696290912, 1044357137, 1023050177, 202361476, 1022821711, 656692831, 799657322, 498443934, 448202720, 395678335, 8547899, 205613840, 50397386, 152625246, 804816005, 974251989, 337401640, 849104983, 620975310, 951052317, 759339930, 347685878, 934886823, 908517971, 1046612162, 931876617, 319533423, 770454835, 366108780, 283586047, 495828181, 104919855, 744464481, 624805787, 300418927, 822207375, 260134863, 805065962, 182102809, 779283241, 969704446, 839101135, 456651200, 280500923, 565051463, 981635099, 125488385, 934035104, 359807619, 820155957, 1016397673, 894087452, 562562974, 124938051, 68225550, 374860392, 1058296594, 253694671, 123682823, 404276216, 411480546, 943200253, 102475195, 230209491, 24350771, 906298437, 690590755, 866172046, 1053063579, 850644855, 241091378, 436942683, 305256792, 281950276, 377960167, 641601693, 496027503, 951396088, 594070012, 101440175, 715205226, 221468451, 402576480, 201908204, 164390622, 596152020, 351458863, 925289121, 406167906, 449559108, 432819635, 529217415, 219719111, 561634785, 1042437932, 621746382, 1025776828, 525444289, 1060154098, 804467411, 1072972887, 484202311, 545011465, 186317505, 924584500, 990348593, 144404879, 921308433, 374581922, 805597604, 50233014, 924953579, 901584085, 114870929, 643878455, 998299120, 224713075, 317140419, 100387478, 318256539, 420993839, 96649236, 240582895, 701983049, 982543481, 568725979, 560725980, 504196725, 759516290, 619293229, 930263945, 978603919, 469904089, 321659418, 577369336, 623956194, 282977253, 967347408, 574706240, 462788641, 517057467, 1008144614, 994153788, 279984976, 549979940, 472375820, 1025424798, 829460256, 1049562204, 305236517, 734926678, 1059952920, 621351685, 720307054, 620371161, 300850074, 127657196, 681448375, 153060690, 73760273, 338230509, 76418457, 255337019, 891956783, 888241713, 500499155, 297444536, 765005168, 74105181, 400031672, 92203830, 968438663, 326784666, 731283758, 681245132, 863046969, 224576908, 1048173289, 72174051, 941866884, 963065215, 964453220, 669011003, 128128831, 388973351, 461926612, 87904352, 322748995, 300522699, 881585380, 175900179, 653854274, 722698006, 763582273, 187319981, 156137587, 236939832, 829002952, 960936593, 413545850, 999420095, 722905584, 709277673, 258138884, 573580989, 101582319, 411994572, 905211673, 1003719823, 1026680507, 916015055, 504978259, 528925282, 658211514, 1013270928, 739095871, 287482415, 901459182, 246802459, 763878774, 350733583, 1062518660, 829243823, 412413117, 521795775, 490449994, 293876980, 310866341, 132230736, 232795060, 718128982, 955824826, 652663317, 892285975, 450938817, 553993904, 399596868, 332346413, 956688757, 635576788, 529865898, 830865924, 107901316, 895891144, 164722302, 1052206976, 993029144, 817815425, 610268564, 1038695326, 450004997, 322513363, 305696661, 245722933, 677504437, 707090272, 989787287, 713393634, 702962817, 594813042, 259736712, 730460062, 18933899, 202056762, 868247363, 97530182, 790051293, 653206489, 588620475, 187628746, 69872022, 696449442, 510129971, 798013746, 632134529, 211484019, 528404842, 51645638, 875224252, 869932675, 896981612, 19702393, 60721753, 536340065, 351460526, 911332519, 331897186, 599940897, 901705423, 980764848, 35432127, 893183690, 72185931, 953108984, 271780755, 905629359, 207556562, 1049423319, 769492083, 847341500, 254931727, 66591083, 171284664, 726222790, 1057261439, 312552440, 331746903, 67844597, 245521045, 212802009, 682102706, 525125216, 744857358, 751762330, 494176172, 1025486253, 256629490, 995594130, 989996902, 275666913, 810561321, 995844845, 517865085, 788872781, 696386358, 173123539, 68010859, 37199811, 985606963, 490274428, 473353201, 383804004, 423800757, 602955166, 569791375, 734513318, 1005584533, 841559817, 611674082, 760989642, 892495842, 1023990562, 324676209, 837136351, 1043215206, 411570039, 1017775411, 193558114, 21548298, 990809292, 24883953, 1003792973, 283298708, 83388182, 814610081, 852654047, 733073120, 142781257, 85320515, 1061380470, 848810015, 75125573, 954482517, 564508922, 629438597, 631153914, 950179939, 897615974, 390576895, 715983163, 677041883, 111920792, 310490532, 93346970, 588015105, 384202799, 257984166, 257323460, 35066492, 301914107, 675951824, 785747020, 727515187, 341073783, 363449483, 310186372, 732042173, 163776474, 556230222, 592952640, 65127288, 450786655, 761245175, 370054852, 223437012, 857620723, 971100763, 267659752, 411913126, 264938991, 627137577, 1068448327, 503768016, 225465094, 765089232, 612005620, 433439899, 118979354, 928695828, 622364276, 725455282, 201196551, 927899956, 604726727, 895558046, 345875175, 52689346, 279632890, 588213227, 23005398, 495937743, 799370973, 170613772, 953189867, 729605500, 518236448, 427396152, 48237923, 656773908, 427314032, 1044125263, 771859808, 284902333, 673189650, 99023536, 659097221, 370190333, 72855925, 1019163525, 680283344, 586559511, 875566888, 864382190, 487513585, 690359854, 553582172, 903851940, 901155008, 9494829, 361553142, 1018676356, 969233215, 257876599, 816545818, 1015724130, 207576256, 573532933, 642344456, 787964626, 846715508, 500305320, 214331182, 823894916, 265750058, 624226605, 511485270, 475772928, 271566164, 242885406, 980129026, 690474623, 663842586, 862629793, 172054678, 933234384, 941589111, 197386290, 425863546, 467074025, 27941036, 597382355, 398639569, 74937220, 94487445, 732491962, 666712833, 946499517, 788576123, 180779964, 231593390, 397955703, 939086822, 92669286, 916766133, 904012673, 929480747, 285349567, 525317945, 1040129756, 886089937, 888472441, 397798547, 832659337, 466120543, 55341649, 691397873, 102060526, 901042413, 349633340, 14323852, 29120566, 1067538555, 497061110, 281951241, 242251949, 172410863, 12551950, 777233721, 79929186, 79414557, 352365696, 999170800, 84142333, 635251238, 184193344, 282041497, 262398265, 540147119, 607817498, 569048296, 90829280, 819965699, 772728968, 965456238, 318319845, 465319331, 424674329, 298272803, 780563344, 1054977832, 865013713, 910594958, 502474973, 905844881, 268530514, 401723560, 163213641, 190809900, 699947439, 1014323247, 934374496, 348215001, 68901911, 94072381, 881518505, 1038606905, 951338040, 795621654, 832000925, 683122439, 749820660, 558372601, 908525558, 212070682, 151219827, 2466933, 466526872, 373415086, 810866862, 301098080, 1025272601, 375978305, 198755635, 237958216, 185547721, 851497099, 439486851, 539966589, 566367548, 649535739, 296167892, 781231514, 935128417, 194895984, 985058079, 723813228, 258221412, 369071475, 171867123, 500809367, 312820022, 307861052, 151721562, 409563088, 543949941, 945813010, 93916629, 1048369976, 658485299, 848720553, 965416993, 715039884, 468547854, 866323555, 160417649, 1037766151, 260184035, 910207784, 144254399, 879855363, 747235138, 335522454, 60704612, 122897830, 73910300, 689317418, 704457176, 410018106, 508553435, 561690779, 1004017103, 668507490, 328513012, 876031167, 954991248, 1019219611, 535938578, 578718391, 255625376, 871338848, 866811822, 345836031, 959545683, 562244373, 66817381, 680234300, 530538702, 530988958, 886197349, 956539466, 441381163, 452064477, 1033126926, 460927923, 219218377, 133548685, 424420647, 449042310, 367152132, 502996844, 866853734, 131402330, 19157144, 181802661, 993296695, 75306464, 147755585, 440479982, 95844130, 934084616, 245416273, 167236042, 301457678, 671284819, 868302628, 244989253, 422591855, 534663594, 863935785, 574593836, 608150300, 868851622, 255996667, 415311947, 331797243, 784422299, 173821121, 557548259, 714331108, 845261166, 959832994, 24644610, 554139145, 458975744, 965773513, 42906943, 81523991, 472908710, 397432713, 182009585, 588932960, 349963157, 222332563, 790063143, 106026177, 418384349, 540689502, 48670703, 679255772, 573489308, 120149351, 783373700, 1073090803, 1029840886, 1065331066, 669737901, 562580297, 1017735029, 825106202, 220831278, 348958552, 174923688, 718386756, 448193361, 454392862, 958473082, 370974704, 732090252, 708497379, 851784978, 204330548, 470647725, 312326047, 415875893, 798906059, 551580246, 572402094, 350027743, 679386967, 511085698, 931211103, 277852155, 1045639513, 707221714, 379204567, 173498168, 259217171, 27146788, 219830934, 302310596, 792273559, 106988431, 367420880, 210973139, 508933702, 573667973, 842838912, 932860809, 833023852, 765339556, 866569748, 190976401, 295065603, 396874188, 792263094, 754142081, 736513372, 907088672, 644835243, 7577190, 975648571, 375202436, 969744127, 1061203377, 588364026, 535379936, 320016698, 284454260, 6368240, 676091254, 87709455, 86903230, 373540923, 466487708, 345540445, 1008700417, 905318898, 501559758, 244476504, 732866986, 373093235, 276930627, 866875391, 741924007, 346348233, 380580966, 793683672, 502331992, 700620862, 228316673, 310814813, 628156892, 926520412, 196035612, 549156757, 255422044, 534909509, 302820420, 595499720, 511589319, 1072153159, 533117055, 206083408, 152417062, 659534294, 731770726, 1018897072, 172371892, 902093208, 916478614, 978691354, 922125922, 768394246, 408210309, 733187859, 849338886, 265278480, 415128990, 790679011, 339137918, 169908412, 552778954, 575168288, 1064910007, 391589527, 141984611, 88580264, 396563792, 24677234, 834331675, 514940490, 210895113, 804340408, 428232918, 384679039, 480714820, 728427953, 518272063, 576039355, 764205543, 204899442, 612315739, 144631376, 225824455, 43609238, 647715892, 598230771, 675546273, 269037459, 528071283, 117489002, 933926518, 840020164, 651473022, 413322763, 308101932, 800753926, 909343405, 990109175, 228449369, 821829343, 128840532, 82328503, 630298523, 322484743, 937381671, 405373233, 440698323, 804702330, 238953599, 1039313867, 57427195, 340634852, 352770454, 981329171, 410072191, 1049791367, 593282333, 304155625, 5971194, 1048000606, 1037062120, 87573409, 1013216083, 106664967, 604246767, 452330619, 836999808, 553196334, 1055044290, 35666987, 363608153, 58281227, 28076617, 131955847, 482951404, 877802087, 276552221, 207872800, 73157327, 102771108, 311334650, 643186188, 867307737, 643372773, 1060536326, 504928650, 226254138, 955556614, 263897449, 349670371, 996343246, 1042607811, 809442027, 1006998996, 922437699, 126483569, 348413787, 292970632, 855681018, 2578534, 852662791, 907015579, 1014018208, 1027896055, 118899357, 2834657, 1013398723, 1064097443, 759613060, 142045226, 344598195, 406390854, 731591631, 924966438, 694502676, 856118217, 758742301, 714937038, 657792769, 813987863, 488583746, 370290609, 487688393, 541515614, 14898332, 885095326, 5703889, 1000258933, 55866408, 652783548, 556783169, 733895575, 520120846, 108902530, 284412287, 242161147, 777394193, 175803105, 1031921906, 857730398, 614968440, 592998129, 1069627061, 311259341, 286818807, 303360884, 1032238595, 18463112, 735256050, 263811532, 955924188, 55339249, 1041905293, 67712979, 110914649, 24538242, 548822628, 609289498, 296015183, 967984727, 380461021, 109950305, 428788539, 890738407, 859787480, 591929216, 967600973, 38597331, 96364543, 916676371, 115993199, 854690133, 975767025, 774316698, 985682142, 702646366, 85289936, 676352450, 969473815, 623794895, 704137935, 745550619, 919976263, 48811521, 883677023, 89992357, 750309237, 955487836, 53976883, 411473157, 78991708, 299486863, 631211827, 417884676, 149212532, 335767282, 25207340, 823143494, 843641154, 60657069, 115872207, 1012768535, 614644486, 86408633, 486139057, 697546035, 670600319, 788531356, 284320934, 494257946, 994201273, 671604368, 804687673, 964485857, 47271644, 941058829, 1030253396, 263756827, 963108399, 886813561, 606808226, 263913168, 202625881, 335162690, 79282171, 584195883, 620605210, 797680083, 109749173, 668666621, 500595150, 567513748, 530768509, 898940978, 813436805, 797669481, 1041723576, 972537015, 1063851957, 867999250, 1050537949, 913486560, 490981235, 951262003, 416953517, 265716417, 549448660, 440518756, 989216347, 625584477, 674772162, 790253831, 157983991, 636061286, 588161285, 124869469, 982388971, 841591471, 899774483, 21601786, 1049307701, 426051713, 1007842680, 78976095, 948301503, 469398429, 789302025, 389839119, 830300659, 634015469, 839382310, 99978277, 807364367, 842304013, 140618338, 807890771, 314448584, 487613033, 112297004, 565666615, 476968150, 181876321, 354232976, 528995804, 186887166, 232535493, 452971067, 663648678, 298795946, 865413789, 452464135, 367388632, 432435618, 840294171, 68534713, 414951040, 512547512, 186855473, 358811829, 463466199, 218914333, 466887265, 853756008, 577022123, 205304919, 229709159, 953605135, 104279005, 953688917, 288285592, 945223845, 624192192, 763656006, 228183823, 823876472, 763550699, 771207190, 1053144394, 613721363, 188514898, 318824949, 957495825, 974471120, 146424262, 846362599, 671907169, 447388022, 565422033, 777565797, 764709576, 702487993, 368738040, 1073076499, 874544840, 490834348, 408964106, 656465424, 590050991, 28227494, 264712276, 714010677, 882635432, 161443717, 645158892, 656112368, 784619130, 755344038, 384427613, 378331387, 554914450, 641234837, 279822521, 1020918705, 1070767399, 699088413, 605887085, 192442404, 424465265, 261487013, 838862945, 1001560152, 245424118, 1017620256, 225925786, 369013826, 76516928, 777712949, 486149647, 482282216, 186144441, 449504889, 783257375, 69209200, 211586688, 648034928, 1025353698, 616501768, 364528147, 189514035, 424898072, 483313586, 558642086, 321766743, 449983191, 911636759, 474608009, 804908860, 208244703, 27869855, 660328938, 199588077, 136548792, 78294016, 118185062, 760641295, 834276263, 678775535, 745598902, 325745094, 443008222, 905431372, 668527821, 79873767, 130281148, 675522753, 668854328, 220156027, 413515060, 983913742, 299435886, 987910929, 656168866, 672649123, 1004429776, 907893433, 380399194, 671068744, 397686572, 157574658, 292300192, 924029551, 1040909443, 1067875580, 352784513, 1034895218, 950057010, 714900760, 528550870, 227740049, 189871126, 981763902, 914244652, 213818701, 182872754, 51095610, 510028068, 222857268, 297555851, 3147192, 85108030, 875112026, 584468176, 859071096, 6915732, 315925859, 1000913890, 850596180, 817012259, 664286296, 507420812, 147388854, 282174468, 263063183, 494185769, 345840525, 788713703, 865308601, 992038359, 189911718, 673720355, 988363943, 387267757, 500578130, 652998725, 256649704, 891730829, 884665127, 800736660, 268023573, 148246227, 468828357, 868537508, 803189812, 638481288, 338810268, 49764344, 193956906, 872021787, 303172306, 359359255, 907990980, 166855727, 857962124, 246572945, 289159299, 154646169, 948490757, 775547692, 660491299, 672894149, 733609621, 428934230, 148570635, 726060555, 629651361, 1018303236, 249929090, 511897085, 145555255, 874684727, 594746304, 998377751, 6622893, 723767486, 1042866623, 27631697, 377573228, 541974585, 642643557, 637545860, 680840038, 398627718, 174175768, 452594819, 125662709, 489100265, 461459037, 255319054, 396684987, 976107547, 385067574, 772713143, 555447739, 807015613, 349359867, 1063925995, 919556182, 174360808, 318168653, 1002478270, 60417660, 485110530, 1053730384, 124618571, 452906335, 923196395, 399988436, 814932071, 692371323, 800192794, 275548163, 454677342, 256362442, 60308371, 284892504, 89196522, 616599931, 82136639, 511333605, 95549688, 256695623, 170097223, 674410475, 727946054, 655505387, 686943836, 391580908, 618983058, 384682659, 897891543, 461940643, 1068263480, 210372440, 38833167, 556878256, 882837992, 284671542, 868557146, 671121108, 212193817, 388117066, 781463452, 568376494, 618655505, 564758033, 454926608, 506777587, 331300489, 437129103, 629792580, 18062404, 1037537992, 209942609, 133726038, 900169351, 1003144584, 923575048, 99003881, 705453120, 441806371, 65615306, 150951888, 764904851, 606689015, 70334748, 989243076, 280155946, 1013459850, 751888282, 37387834, 973346056, 531673978, 412715330, 71610273, 610226668, 77685272, 174703094, 376118573, 658419442, 447622471, 9403434, 543546935, 166474250, 646762694, 338505209, 627322034, 1061338975, 580429424, 22236912, 564146611, 771588633, 125873852, 686112509, 159259263, 779164069, 353278221, 950205337, 335068185, 239500926, 437373647, 852374765, 1064265121, 1039722216, 563332834, 96633733, 109310518, 666481518, 354187057, 1039893108, 780203344, 1008595635, 700584160, 15824300, 546330379, 662305832, 157484830, 328604394, 506096162, 921790394, 817404842, 515793743, 601417768, 573467422, 47032071, 972338377, 1019681066, 407484521, 171595508, 495917408, 719453851, 890701289, 481064318, 819905068, 694445412, 277156809, 621623059, 1035809848, 520147924, 882479296, 800761389, 812398233, 408799818, 686236996, 876959909, 280818610, 419718298, 736295091, 162559473, 509503476, 1024756269, 507163726, 627219774, 331527315, 1042466203, 831379516, 761996147, 507228287, 147341649, 748492328, 155006223, 626578349, 304614213, 836821291, 273471260, 538817401, 637791217, 702628911, 381216280, 542556265, 87997676, 1065852964, 597915438, 81980258, 128100206, 213431869, 352847038, 80475419, 34187961, 132843486, 972442388, 281784667, 617100728, 972689795, 918429886, 1070079285, 657129536, 909594646, 683308217, 586463260, 677274799, 838639558, 810080995, 75909845, 321457585, 640124416, 645586978, 320538325, 346341324, 259557826, 256059071, 685027131, 934296440, 25948339, 1028449331, 314256499, 79933738, 40099155, 977258265, 715220092, 257048708, 580549375, 324197507, 316484581, 798155971, 401714462, 222606634, 264165856, 628077737, 400093715, 526880628, 443954286, 719010958, 213062535, 254114120, 430441009, 299603340, 811956009, 1042067447, 80206933, 34465045, 705099512, 544373629, 375932939, 663504900, 270854408, 518010679, 676144334, 571586369, 412692272, 856715172, 383729714, 100014914, 256725988, 717200163, 824707411, 286856368, 966455218, 778777712, 1060176649, 380166663, 252374898, 165391300, 176636025, 728496284, 942115868, 930956892, 1035291420, 682257638, 429531955, 915401811, 424195890, 586295605, 1055642140, 899397959, 364747255, 70114350, 390931343, 556896230, 534659505, 858207032, 37651765, 240798869, 265011075, 194464853, 555756474, 580986871, 531327640, 1033127096, 65579452, 763312835, 834802465, 639281030, 839310732, 623087726, 384434622, 870398495, 92196169, 606731519, 539381292, 635088554, 213037846, 322920545, 947020862, 8751877, 915863777, 417511231, 469494252, 400783387, 574937636, 128942383, 1014254857, 529832390, 614649849, 380472167, 156180829, 441377542, 895831774, 933081025, 787705714, 1061330093, 863770774, 723487138, 366593534, 971766891, 673238200, 782311783, 371928743, 247425441, 48328919, 106131792, 270397064, 186467055, 515718673, 482439545, 1022210011, 517165019, 212323370, 747993149, 663945533, 19199024, 193809026, 545168917, 963153127, 544617830, 394924349, 613928576, 132927470, 469515678, 856394013, 966518276, 41357131, 144612461, 225302934, 78526455, 949323758, 604614235, 100771269, 420451843, 200936542, 230496019, 1056386874, 313936767, 57748340, 896609739, 176351834, 511096593, 1037673073, 580946013, 155318765, 973990475, 635750497, 710798693, 720222330, 431340350, 21439668, 359218899, 237941905, 336080970, 768160000, 936852133, 785500097, 396021773, 605181051, 519567857, 99415519, 970570849, 185159019, 521273597, 751617576, 666580841, 736524368, 961898936, 776546334, 927569235, 729085550, 235546638, 991899723, 362445880, 282232130, 790368976, 144136484, 861122263, 915108324, 360493798, 654194243, 416011682, 223564648, 766341436, 735851638, 336731903, 397014230, 513359399, 913968741, 194068285, 375337392, 459794735, 388855337, 8317004, 898337210, 762056099, 83618012, 423565111, 849648522, 172828794, 524802140, 560221257, 467068587, 691929454, 667195554, 590673975, 917737709, 368255787, 154178335, 161052836, 804271925, 362822168, 508823752, 664455391, 768527600, 869574129, 804498987, 490736647, 303207966, 488858268, 890346033, 764697761, 937238479, 546059837, 61171089, 869726333, 962455173, 29140765, 958132084, 583102614, 969016196, 202521792, 981067974, 835455902, 59488639, 916494044, 511432925, 503428961, 60254992, 824188660, 64841437, 423821171, 264938073, 214498620, 712267379, 585216251, 954765333, 579270555, 934450968, 184195363, 1038416483, 902265129, 1059512106, 512809295, 226225729, 242195876, 989764781, 120255845, 1030848498, 632658621, 440052550, 506651059, 510082557, 319068242, 773528719, 365084192, 371262410, 501312314, 966069594, 52218765, 1025886602, 377240795, 687293844, 218624300, 1055023678, 587934570, 441869395, 58495815, 1021665123, 86154743, 520902142, 105494847, 359549309, 593562570, 314873774, 1050276634, 125002192, 29426722, 543389678, 1062915145, 943742313, 440274503, 386627712, 258439360, 284140427, 478100750, 21308193, 261477716, 1013548871, 426262043, 679360124, 362208932, 362011888, 720699707, 482538940, 902628690, 151968757, 59929105, 882047165, 526176058, 241906826, 318473643, 470997119, 520614346, 989110129, 727591335, 686761784, 65182628, 769067115, 722357270, 51816379, 190928652, 474726937, 997515008, 950204762, 826669962, 874405701, 91259759, 763570799, 100835574, 701710150, 575632336, 446555878, 376440475, 368533607, 1036592549, 708887758, 926575028, 169584131, 645385722, 554244738, 946395900, 507836667, 947698698, 746106681, 967458787, 1020335561, 810872117, 512581694, 296763807, 199972646, 213383730, 238212809, 921538308, 506751327, 720691128, 872863235, 780535006, 48745264, 474991266, 702327719, 1001621018, 935057827, 476316869, 1018219619, 574527645, 636769790, 710227065, 452516827, 281048116, 622796923, 230243569, 141304784, 237748192, 645296438, 909852255, 115013403, 741135334, 370042024, 464588272, 310568942, 637210403, 319257089, 796972612, 107657191, 279433209, 574217251, 1070830666, 226534673, 53531408, 1071519753, 713456519, 933120640, 561337818, 255856930, 221950410, 348190485, 664549907, 104742363, 388792611, 580822862, 742451872, 969976532, 316465420, 902160932, 469031122, 538814017, 113499152, 308583822, 755335487, 631383007, 110305964, 609215047, 913557769, 986712840, 14128199, 133060548, 986270958, 554179500, 241983589, 540418241, 318381861, 566039368, 1036134220, 787784365, 404236394, 442804337, 513602907, 772981032, 650551451, 824146930, 1036964439, 780159814, 353605361, 423140068, 209961451, 983944677, 670842215, 246186557, 432779714, 925817568, 712546083, 363848268, 1023249202, 15818147, 638625172, 478169209, 10009856, 964810535, 552260982, 554677125, 678446174, 488391351, 819692313, 110040934, 428997572, 432792175, 600206181, 779429594, 690996118, 30372568, 600755296, 947950817, 988992568, 710545275, 789982165, 130327674, 754666784, 578665885, 419849116, 737929686, 655877396, 22451603, 606632915, 727425548, 1056589952, 1020252017, 784392502, 289660006, 416168336, 436559307, 991215252, 64150489, 511263871, 1006586699, 387855369, 770020782, 545146295, 778392267, 122150817, 292781340, 402694285, 196709962, 463405432, 344146029, 1033304789, 645241402, 483126691, 899316932, 546166422, 907417266, 181420965, 806861140, 734142891, 1977043, 1019252325, 1015336668, 232821115, 472637998, 648330535, 584947772, 603641043, 24000473, 486489501, 390019224, 124356076, 434366428, 331688500, 856175954, 700919092, 555649945, 871844070, 806158341, 563785796, 954777707, 495245404, 469063037, 1069872000, 734615147, 19377971, 133084209, 532146062, 407585598, 782189655, 798531106, 438609279, 53996371, 875887826, 325973530, 657736151, 497391918, 785669, 655499569, 203617265, 878062453, 441563151, 490525400, 914055868, 259822409, 863930823, 353717925, 107129104, 214128262, 574851634, 502565872, 336506354, 14457420, 53091664, 836604139, 975716471, 777813361, 1045599666, 609611833, 981468250, 997508052, 1071753956, 987719730, 983222142, 960181865, 41943832, 312189604, 718456400, 901132439, 83966832, 940362457, 832688227, 842898368, 629160388, 99792376, 435432933, 463473857, 870324476, 66137374, 1031873132, 774905217, 836187262, 77226635, 518187715, 813286451, 699740497, 486877662, 1023830082, 174839283, 785727221, 607840239, 475352579, 1041675231, 149935673, 143495375, 402998065, 969568137, 877746386, 1021170843, 981372300, 893944409, 581562282, 414409791, 225397404, 331144158, 653963868, 2588217, 165453608, 951156980, 168911412, 943748034, 862038207, 630692262, 673537868, 567870422, 233707276, 150958324, 914222764, 659658040, 580123695, 43178388, 475569144, 792591386, 419877964, 810362072, 215708067, 204849338, 738235936, 1073237835, 111377478, 956838164, 987890612, 239596471, 819535284, 161155890, 1057968936, 428743006, 655468052, 143682348, 24876051, 860738840, 799431788, 923188015, 935293529, 134415108, 145923111, 851176757, 762491494, 737015241, 442021562, 929451483, 734103700, 406642653, 317329601, 603360660, 851965759, 283942946, 313798978, 555207106, 692303986, 766065469, 1037560645, 746419281, 660173717, 650470043, 979937372, 5456557, 627676223, 802230749, 76786678, 338850762, 756257912, 702393578, 454334506, 279594964, 415510564, 170315227, 499635115, 636419617, 98951201, 854441433, 36001438, 651293896, 168790561, 896920497, 504456282, 60538416, 1028499666, 268312563, 913941032, 203999081, 113633496, 248877855, 397845456, 23482907, 642431230, 869721178, 951676809, 1047734247, 7099097, 332983883, 291019972, 557748606, 112273289, 725121022, 344414747, 1005646146, 917336778, 831653315, 59209582, 691197991, 923406361, 99226323, 92530915, 290034454, 969942370, 351208893, 747587587, 664049086, 305972712, 1047631914, 891843039, 631429431, 227189670, 597252059, 718798317, 571086578, 193838252, 286385241, 629404502, 883101205, 450221903, 34800504, 637773258, 297226517, 206362010, 223149051, 1021455800, 975664509, 836414495, 236935838, 782917279, 976099959, 590401458, 426586718, 808200822, 246906972, 267245388, 232812484, 746696007, 521960644, 910267900, 239222496, 395655212, 758862372, 1063021853, 115612524, 70025971, 824265312, 274774274, 453796057, 905574908, 360628933, 88886483, 825212867, 524827033, 431605078, 587075455, 12363719, 952938882, 43315926, 650821855, 14068767, 76890662, 249613233, 9296190, 126457114, 346501315, 841734667, 316344519, 1063434884, 955505737, 728617771, 901373920, 32459396, 83640062, 628884014, 310293857, 759165686, 780984647, 317709493, 810345719, 690653574, 820587887, 573660797, 204120379, 43809550, 10513860, 903188514, 807503734, 411355814, 518721561, 504910739, 44575337, 373648565, 20363020, 252681661, 1042789022, 947934006, 106008242, 880490404, 310913420, 981306358, 637612776, 575546829, 300812995, 808017883, 374819974, 526534534, 517349865, 245633831, 326746134, 14132372, 356746648, 534307565, 340245684, 307039019, 1003208136, 205536277, 1018707389, 701584754, 173337717, 320837290, 126368478, 386652825, 347716462, 976915978, 513778349, 41379960, 803432039, 181989260, 192017270, 236782402, 116112608, 633499708, 169930388, 1000842843, 497825814, 589329955, 371175245, 191550791, 999709390, 780301728, 303118922, 585715096, 478796081, 336634769, 664751784, 412950794, 423435591, 57103787, 251445432, 399681106, 232615294, 143937853, 236845526, 284687697, 664155415, 332239960, 915508035, 303886562, 516239395, 397294365, 31734753, 737363077, 766646443, 237557835, 704625758, 183359635, 847925084, 170155535, 118437358, 646562870, 376084002, 783009606, 158042943, 1021697682, 216437589, 378779860, 1036814465, 910990122, 410888198, 839288593, 549606217, 946363843, 621884749, 160694351, 381311637, 106643493, 364918094, 361595679, 548451987, 92537150, 848692265, 91944290, 388434775, 879071184, 834185503, 617530900, 150641658, 496801933, 677626703, 234263585, 88380218, 441194501, 614865158, 58789506, 508007160, 1010564740, 254210967, 845096805, 393642386, 64998078, 404995905, 778145148, 714458501, 940850053, 335681324, 125174467, 1018574619, 641923292, 129960657, 74710010, 637131543, 336295128, 156756409, 576410351, 89140672, 847166888, 211206192, 979019873, 778932332, 465870588, 184428485, 469623669, 1056412062, 132090426, 516202825, 849168309, 1025129607, 1010220905, 792591931, 287991891, 45047527, 14224711, 885273455, 150808728, 977137366, 869985190, 333296991, 100598981, 674640905, 802254153, 765526001, 817887619, 875033668, 61977092, 911815620, 971435205, 129609156, 437737522, 249102960, 490537626, 82207733, 625135877, 445474609, 766452145, 550715523, 611413835, 106928346, 353480876, 989572904, 1020245735, 832500252, 529673361, 40530219, 656372451, 1004498329, 71602080, 792369429, 452416336, 405236914, 1066354535, 1056703160, 938497154, 758781634, 345262717, 1003158603, 4774902, 557553751, 690976125, 709215365, 460922408, 282173982, 741999561, 582520786, 803251118, 1004520453, 10694902, 887086376, 180421876, 911702518, 528458560, 121254710, 491978939, 819934931, 394500830, 1003806077, 859878450, 884424921, 174484973, 476395989, 121902108, 920296690, 657066782, 476619759, 596041723, 940206394, 55716620, 743180238, 142084233, 1037976517, 184338302, 774719075, 69761392, 655147185, 356787923, 590320393, 470057784, 517391033, 191390022, 450630446, 991571889, 377636608, 734537938, 176516433, 659676774, 237134181, 915676283, 773971603, 954413374, 1031995421, 121413756, 27649897, 520326478, 21037214, 399770283, 950508841, 790661444, 1018040983, 195594468, 658678468, 614805725, 1047363364, 1027257144, 290807956, 487008481, 872004324, 437539966, 568804098, 243044379, 380439753, 830792897, 475432808, 13964864, 385821842, 203153774, 75335669, 815137870, 529253706, 840371306, 718175709, 662411777, 1029406833, 656491388, 805796714, 508214258, 22851522, 275078102, 831329330, 163432617, 957258926, 342459511, 978789306, 682195735, 778814067, 910087700, 154355783, 546808885, 651496396, 746636647, 145533714, 98632495, 884597900, 752554047, 648542138, 264765264, 863921799, 140260418, 267692791, 338208994, 1067603254, 638851967, 250819222, 672860279, 958986991, 56932923, 840396523, 943183147, 520165881, 175405704, 57880248, 491913206, 819234239, 790630835, 468697956, 540012872, 666735107, 558652316, 166811795, 624779428, 813504486, 582360319, 120112737, 374757812, 1048158373, 166231769, 491107311, 245957300, 563129116, 707248419, 165006301, 265237348, 363596140, 966560169, 538139997, 166127029, 900953105, 652815668, 424067441, 106815110, 279071789, 524341416, 44099486, 193829753, 900542883, 864946065, 831471369, 555470112, 879677336, 489325032, 733275457, 685723650, 145704377, 768432983, 583239236, 29175820, 347474542, 1003657487, 787758468, 621866692, 297001920, 45610008, 233337038, 6810536, 839640665, 8153734, 850365815, 399814413, 988022722, 519348635, 970416629, 294371930, 335379063, 377042947, 385122987, 213908554, 484533747, 475905135, 704918816, 5660954, 588792956, 759687055, 744552718, 156790625, 716445190, 790433115, 497931691, 696597824, 1065256542, 911079236, 773691544, 495395003, 215106189, 528967539, 352340618, 668084633, 377604763, 598420534, 454364843, 204423842, 414733839, 422980236, 1023305223, 125610217, 79664585, 969285124, 691147489, 632001708, 522225901, 960654904, 2771869, 379035400, 41849494, 526437735, 959076403, 230434464, 761888279, 880504131, 167454923, 92036651, 586115939, 184085372, 425737219, 254376062, 40109065, 362485911, 901485822, 142993031, 471243731, 546035562, 1007317725, 127065089, 990492433, 681038521, 818143625, 380635804, 980027681, 737134244, 152336771, 1029190374, 1038987267, 445687457, 1032659034, 985448405, 412406558, 618783847, 1064048565, 476434973, 655994164, 728595622, 178278347, 344887547, 557322863, 665458149, 729242455, 372206553, 783181771, 75886553, 109974793, 234116019, 625300815, 160631820, 801588702, 163089441, 975650064, 449278801, 1022202242, 692266462, 291139461, 906442023, 601814884, 277508039, 785402275, 477967654, 1071544031, 887079229, 235118193, 499730609, 279875178, 997959231, 288012157, 817930147, 537083496, 454369627, 1039083271, 792820005, 1041990029, 978031, 754295747, 894556021, 976373691, 314239252, 328148948, 1054519121, 97286898, 873916167, 186154233, 804993062, 422723630, 219062805, 660799495, 804871580, 415884623, 194110149, 217579537, 807271415, 926654443, 866191454, 82643091, 585696181, 767719422, 415283355, 946106153, 820576761, 317743554, 609123055, 897952043, 317358858, 545197015, 290676401, 845577460, 268007206, 425817322, 764275051, 520390468, 855289161, 974336474, 667997833, 515691933, 1020604372, 1007392609, 937387693, 431338902, 614715794, 1052928726, 38619015, 1000559997, 863534718, 258342737, 810727180, 447394082, 648157611, 469953707, 907145142, 296236785, 573679990, 216828775, 926301926, 1040192984, 839884923, 211376259, 453143182, 284894996, 803635395, 854250995, 1031008182, 76985509, 812718381, 825442639, 443715893, 1031750643, 34819454, 672342521, 667685087, 52946296, 543390599, 486966867, 549656743, 504349421, 621660961, 95729311, 143943145, 723548888, 260335740, 500851834, 303422272, 1040910023, 350433310, 855452903, 217999686, 881890400, 812612673, 804500661, 77786448, 261339171, 262636197, 667241109, 950136451, 940410201, 857232310, 138173037, 476807724, 1056883903, 846597453, 538117389, 849876627, 434836665, 182890409, 721635666, 225313442, 656206474, 999641256, 420798452, 8688124, 792543975, 680332344, 31052062, 23959272, 595363349, 699688099, 394881695, 328331304, 947399397, 850803240, 44316323, 943181913, 19565368, 928345721, 717451908, 498825949, 473726849, 185537261, 50486287, 252354372, 277780271, 254663327, 313722141, 492245184, 1073298827, 868981266, 700126565, 236755120, 198818198, 1013138822, 525618052, 1023823575, 555678143, 469379262, 412361943, 798735426, 606783255, 342002604, 482396430, 473757987, 273835518, 961054895, 272736367, 592372868, 528839698, 280349472, 753871413, 546287575, 705297962, 1021107506, 916155912, 1001898264, 281071461, 363855773, 81422018, 613815883, 648777642, 791378639, 621622159, 1037408467, 447174942, 1008043101, 586260579, 934700365, 746525485, 623272932, 930653355, 835346220, 849505154, 355911120, 1049747210, 437912669, 810965042, 822834733, 25619771, 211180552, 1013236411, 106127736, 606217055, 103918508, 633427454, 507839050, 24977322, 241670717, 432859192, 574267268, 571557235, 129693216, 122300796, 634987013, 117017324, 188371198, 921162804, 994200350, 662241440, 1053619243, 237536718, 639450949, 528603296, 1001406021, 185899563, 152422028, 15701939, 233186624, 585477193, 515678066, 11079526, 754273857, 1001065385, 914707169, 985227328, 525058428, 528298594, 50972739, 157376257, 136146978, 999402130, 49947923, 172813296, 101125167, 811945731, 483374053, 579770718, 783266575, 374956193, 714239504, 389844317, 1020167704, 322680334, 693182878, 573934899, 958199773, 944277365, 1013720683, 365898603, 947791731, 183104023, 808245110, 923786247, 71376146, 280121053, 593410338, 641553473, 232221693, 514865325, 326127972, 1054051450, 883260810, 105433952, 1067509042, 286687394, 509892871, 741661835, 479848205, 213292546, 249179113, 374405369, 729980995, 586021214, 45371679, 297948161, 667054902, 988597045, 170771820, 434662686, 989797728, 686226851, 103494166, 695078882, 820051382, 527100504, 908867149, 370767067, 353226210, 194561385, 939783365, 389364536, 648045168, 1011587188, 315910363, 979334357, 525317539, 79389848, 508706194, 162358947, 20391531, 382781710, 1032382465, 848873878, 437621697, 438607656, 166588852, 474774569, 403688143, 847654132, 236436699, 137232665, 555821965, 812844835, 435897140, 489768374, 874842625, 905863012, 73823147, 642185462, 695527734, 610438165, 728677202, 1009234978, 835550910, 979475719, 509157832, 357984154, 58993674, 661708423, 370714159, 422957409, 11518844, 1051317641, 1014691465, 426170796, 230300326, 441981651, 16928624, 498969309, 398984120, 933876441, 604117228, 228058794, 688245057, 36963605, 20866443, 380395452, 904589184, 849298270, 317162799, 140256393, 194086695, 707131789, 42723193, 11558269, 975154097, 984195609, 223272293, 195959091, 781681401, 42538361, 768508814, 146440168, 1000426730, 164771910, 81166198, 188742566, 1035817491, 366262833, 880648839, 18111674, 176221660, 1030591692, 455936012, 631644461, 350964956, 460989351, 1047415374, 716304813, 487933867, 858550608, 831111252, 993019793, 976275473, 370021713, 935698339, 966822278, 243442910, 968056238, 366504250, 655443096, 796101826, 104292648, 959021615, 38073366, 16701371, 333102910, 76798831, 396407564, 122520103, 740118222, 471925911, 259213090, 724936423, 753130535, 832485429, 597257904, 890448860, 808467594, 465865524, 101531844, 1062515691, 204606508, 851119409, 51243823, 202525506, 114140122, 87689048, 279222971, 112163916, 333297516, 887265920, 651375741, 679739187, 201375751, 163481186, 911361867, 259411206, 427180545, 370653563, 48325828, 599425650, 743296828, 60257231, 1010422886, 764687252, 373303486, 562314721, 550226941, 218308069, 206096376, 741988592, 482809747, 143262157, 181096871, 702183767, 325532005, 136293884, 597167168, 1056266520, 906697575, 1058050350, 515473441, 607354416, 81741119, 207906624, 1036144898, 875886944, 473601379, 821273508, 251827700, 1066469568, 382583617, 137110733, 738150362, 951898684, 474231535, 501597327, 831938934, 183394536, 1027240182, 715447297, 99476259, 1060534689, 894919362, 433782910, 167984269, 630807198, 993877394, 423268003, 123829339, 292220075, 77105980, 492493501, 547259145, 214548134, 411512803, 316306500, 538285588, 270811008, 154904943, 898270649, 327939155, 735439021, 974883683, 969148136, 244578207, 753216489, 288877859, 1003205724, 66566958, 182348025, 245005779, 344679519, 1069577443, 602232529, 908689057, 894144967, 805798093, 217916646, 1060384657, 244552772, 316210847, 287871637, 111048479, 15131166, 684759620, 892559970, 59348018, 843102894, 1029200443, 210498783, 90711946, 704425415, 476132707, 455936738, 88410147, 98331237, 497834390, 715405912, 938860216, 542575958, 538087439, 988651385, 382180275, 716439263, 421492995, 727105802, 991083970, 514417556, 119249008, 818211872, 448934188, 203547935, 447434584, 924385578, 472857511, 869332066, 835257523, 730635775, 517156339, 206100437, 81833693, 3373703, 327034604, 726596277, 64052494, 754877151, 595131441, 1048611700, 380194777, 38442129, 650150957, 730737799, 602861722, 136151162, 49210770, 19163971, 463670193, 481181557, 26711277, 822974302, 1024472725, 832376165, 488726944, 151583774, 648481566, 827637598, 606379916, 166530384, 680315225, 555474502, 695649552, 1072993825, 716681012, 539582410, 428878088, 661557997, 551468315, 810158585, 499020007, 92700540, 21871214, 1059950863, 477120096, 824120019, 1033346978, 790545134, 988330652, 227068621, 615528093, 531698570, 928286025, 744296368, 463596879, 8486883, 460634502, 624899834, 450579365, 798936998, 604746476, 1013383366, 435036502, 142206519, 535440493, 749351032, 992596215, 130413058, 478704630, 828755789, 354864107, 51840862, 470371795, 599636056, 235029308, 543603433, 449322336, 197157855, 1064161941, 875363080, 585446722, 1060373286, 546389918, 742466169, 741381473, 402309587, 673457678, 164278775, 311543454, 1045308487, 172709726, 996802406, 1011732971, 467068456, 890445980, 505093205, 225812013, 795531307, 244660391, 290365596, 944065862, 884585170, 601219876, 436853934, 52765374, 473834945, 542447207, 219459553, 697830749, 946409215, 581930046, 993405218, 434230875, 953508519, 659161176, 78775316, 50045901, 601969755, 25287974, 302212727, 915627716, 783723677, 647341934, 209064743, 452806122, 900247709, 861703371, 898716582, 2008710, 589300829, 19135577, 732774667, 996696721, 465690602, 665038627, 156681504, 323002355, 75316737, 690265460, 988146111, 793004644, 974431842, 757581675, 671696154, 177059814, 838491096, 1039828297, 106936397, 37651923, 978223237, 386310543, 177360506, 777796787, 778186100, 746118528, 110027474, 337038244, 324369752, 110783664, 598816536, 781454869, 847759023, 973879510, 173355450, 399199228, 680186972, 474124562, 171981385, 301201946, 920674410, 580937066, 91092905, 771222949, 809749797, 753504407, 168845589, 149957775, 854879654, 1051794711, 887423996, 14231697, 223717588, 195539018, 148625201, 78301126, 78391557, 634655753, 94889905, 910688101, 809482025, 933383570, 869740120, 370806298, 443065194, 145604045, 986472990, 980487771, 169478711, 961445434, 947309524, 62385582, 468745094, 712408773, 477360431, 732707186, 724889307, 71430511, 61838559, 651839279, 569570109, 841691125, 647992299, 940711306, 780307331, 872561511, 226196837, 918077619, 666180375, 23210670, 640957302, 932438897, 1005915646, 836732420, 953427204, 1036059388, 311930697, 1042172980, 815970150, 528123908, 509694023, 172434297, 733104753, 894029116, 341080451, 326837443, 927894322, 374804107, 399030184, 248128658, 938188703, 795680983, 261686510, 21345881, 527817179, 405698785, 872777981, 727066967, 622898126, 464235781, 840060693, 435384141, 567642248, 641381989, 406787150, 576574579, 1058593585, 702017087, 533829404, 27995646, 849163267, 89545322, 651447795, 460264886, 226769079, 879350485, 241864043, 445206381, 1068163875, 82205052, 421711359, 189167988, 270952626, 580262745, 1013733116, 717549734, 361536642, 1032140892, 613291902, 156722329, 729792568, 796736422, 437945249, 796137830, 630875191, 1023764587, 721820403, 164803090, 967382443, 113896658, 1055060703, 452574162, 64033002, 476843152, 24782301, 1061559188, 653689605, 840734260, 296052244, 604381840, 1037980554, 1008784638, 572322081, 572486089, 262608728, 970873218, 746735506, 1030523648, 1046324083, 188496074, 172898375, 331985688, 488405628, 558342512, 777785137, 170944744, 153611721, 760488899, 820414833, 1016104423, 863154308, 31068388, 258838951, 337186347, 677382402, 432098391, 488691227, 276171175, 950319234, 104919846, 260721720, 968308436, 881976798, 381792647, 895222440, 62298039, 108160130, 698180648, 798328555, 707948759, 112106200, 143060048, 1067521643, 124043142, 886338627, 978066812, 1054527100, 125292950, 7863521, 209188459, 734332412, 560563727, 329983051, 1016893920, 715036796, 476937140, 393298530, 421327614, 375280147, 78753723, 105646580, 23391943, 344857034, 973245363, 913019835, 279240882, 218131808, 820099736, 143973596, 950554338, 106036042, 742299686, 180530137, 987825120, 868776132, 73296079, 297896505, 839377613, 1059560615, 998105977, 326240254, 740896308, 740899912, 76127043, 864550509, 694642824, 494139528, 143775923, 830895821, 95995643, 794393466, 459064643, 537520723, 920388356, 1047784269, 752095320, 120498471, 36502361, 44997696, 595094395, 1060298867, 1010478499, 762518048, 735085508, 782267486, 933168352, 1033754954, 454586202, 615130019, 219906586, 395199509, 265279550, 959482768, 516399922, 585888343, 387044236, 754394226, 397472638, 998412806, 19412152, 555253974, 811742117, 147926550, 245666213, 15303374, 764279224, 532577421, 194286261, 273682103, 789449028, 447994034, 153744475, 464426892, 995949695, 49531372, 610341611, 760025938, 685152928, 868737087, 1038264467, 389982375, 557682277, 168558424, 873579297, 569777041, 187241969, 888674705, 427755460, 375303307, 937670202, 87394076, 377432897, 756502846, 527659536, 706005810, 493859226, 957683949, 1028849740, 325075838, 644793590, 231055491, 1069427084, 515244528, 595369991, 94464717, 1013626466, 474297553, 43025810, 398028325, 425219475, 33621842, 966765720, 583884906, 468250176, 569277157, 757143251, 610848197, 360139656, 832862041, 298695957, 724376598, 319441001, 217176124, 945954909, 695399113, 1043080331, 28611570, 776475942, 264650763, 483963408, 626531391, 4547407, 44438304, 737596423, 106914818, 50807748, 460324131, 287005157, 58645822, 1038679022, 257870309, 381415555, 751784640, 1071057835, 188769738, 446385936, 305722463, 676202606, 152112347, 571352364, 313589780, 626612786, 887652999, 210704003, 762457315, 280433666, 8255483, 1048324336, 405432616, 17039443, 576998618, 715104505, 311603849, 285593154, 338167039, 265883640, 7996946, 238762932, 817415403, 340604608, 61670278, 1044243562, 332357950, 917773654, 1014062137, 581270009, 847927772, 285487592, 962513792, 464847204, 678674696, 811018735, 7093726, 123292513, 50927161, 631182682, 1025884403, 924744409, 214291741, 499022858, 717579391, 459262948, 386132837, 156930667, 147225225, 31490306, 593825592, 1026113294, 131612703, 388566776, 604842557, 110215480, 557202671, 881599106, 581077100, 753680143, 411818917, 335076289, 799448896, 41109527, 725537922, 186257120, 42279715, 652095614, 1008153727, 171074792, 405525418, 503310615, 823716694, 144372587, 117942023, 265810688, 828309882, 252595585, 924359940, 237116008, 595580385, 349192080, 592586880, 541920827, 649273377, 482411460, 144481350, 771452231, 261560244, 194911501, 766035026, 929102602, 810988683, 1044071433, 784735367, 1017274781, 545870946, 165509239, 379571933, 962238104, 398594301, 918028711, 361239734, 109090935, 798196528, 369597772, 425050738, 905579227, 373379794, 916694319, 925538025, 1036778766, 422579184, 898513001, 362947898, 719750419, 1008798512, 372989089, 779920584, 404727713, 677500402, 467603933, 835699161, 549247240, 982780109, 1056371807, 455421386, 43895929, 676392424, 818210477, 541103174, 756245731, 281649878, 956556056, 947167218, 1048983998, 16305498, 771148666, 1029216451, 708812150, 615477751, 388217259, 612465100, 772351900, 121518477, 754710578, 730918008, 832402386, 45053072, 998602888, 552233047, 1045018616, 669840788, 189558343, 195904271, 552822734, 118232632, 385035789, 103337856, 423897390, 571828377, 267929069, 631919858, 60023188, 968227072, 840875947, 125685181, 577189745, 734456263, 536103642, 774484686, 911393324, 831810009, 945647715, 669506935, 1022262909, 1072458695, 971082841, 221238812, 1008391145, 64645307, 269319324, 106051196, 670569524, 793214697, 1007067514, 873714798, 96121632, 412468709, 552990064, 363487641, 959519413, 788793981, 175951749, 524644203, 239718294, 79780886, 747288243, 464428019, 81780292, 775551301, 302876185, 832990038, 714807109, 584856214, 615577418, 1020085940, 921877703, 553128290, 701868894, 743870939, 1008400733, 827978286, 1039832453, 582903303, 1050663237, 1016884674, 591134573, 108178510, 576485993, 1053810037, 692068553, 277902744, 376185403, 557107936, 523768032, 908224271, 657728540, 179212136, 633689678, 649101009, 727715572, 51200297, 49528209, 917318873, 882119270, 666867204, 828774626, 302046599, 702836058, 437145846, 469963789, 976808612, 117547726, 1040021291, 270661980, 412830218, 880828548, 34414094, 520839212, 890626826, 88760381, 792370819, 607227589, 3309683, 340060610, 78570843, 298407619, 742767353, 290633344, 1064842101, 974498698, 886617832, 162733670, 115930204, 827481583, 683159903, 46222068, 738989407, 16209258, 978439772, 751325896, 951436002, 252954757, 779898367, 496489887, 991585947, 1007357156, 79863144, 141576438, 994842582, 270197689, 932666648, 61507395, 546021722, 574247031, 948175094, 476192105, 24343323, 94010146, 623191874, 514309564, 199289444, 838638934, 484659255, 188102934, 546544862, 950185480, 559269822, 955048051, 707951432, 150096544, 586884016, 763529079, 829171953, 649523839, 699769214, 332488587, 108486657, 32994460, 605722775, 426686775, 428416023, 140652408, 202521525, 434986333, 735920989, 738596133, 1042758246, 109298458, 901004915, 788179203, 1030311512, 948236009, 344617636, 548107389, 696616962, 286417091, 798875155, 936229121, 63833003, 238948647, 1057386665, 331728443, 304641695, 483907558, 440223135, 958915005, 372965307, 574738076, 286250463, 452418355, 656445044, 120160044, 289336924, 592466634, 929821273, 722241379, 416428906, 190553290, 86718651, 614835172, 435261606, 34309205, 990591542, 5631059, 687433562, 410692437, 534194911, 625115372, 1003469409, 912371574, 715136777, 956940841, 339284305, 846073769, 512241343, 586654475, 123577170, 238697456, 1009653102, 199660270, 903020459, 34211462, 585348908, 748071722, 328095390, 362443249, 547907145, 210278406, 809652, 903446702, 665218366, 86711492, 712114959, 1021232436, 37269997, 461463053, 541451725, 988858332, 952714859, 569735481, 346180535, 703639309, 395422579, 185824641, 894247615, 563125091, 740384650, 371792154, 612104391, 765433775, 17453889, 718063356, 203446836, 171956078, 128853099, 132678499, 806035167, 984688181, 799617459, 91111240, 935391656, 752181073, 910745778, 161612903, 168245364, 715874926, 1049720249, 576733559, 238262016, 75885949, 56008476, 182560315, 100813193, 715350829, 225624001, 868545145, 878920269, 717026007, 463367592, 1060612316, 36908814, 477333314, 225773902, 291612818, 585595271, 444830137, 743981646, 911864974, 29224880, 368024004, 865727746, 448672977, 1027606010, 659100218, 452004004, 32869125, 923086674, 326417622, 697794591, 279297053, 744035340, 945729460, 393274659, 967207136, 649488097, 746354366, 996118894, 289290001, 935709068, 245727170, 800134185, 1072882542, 1023404800, 347499215, 285870825, 25947717, 911522952, 1031961646, 143795115, 7132376, 247003805, 90497171, 304751162, 312555700, 443948030, 451390672, 799776214, 659144630, 505160971, 752094524, 362374392, 748180340, 371424071, 186799516, 604617825, 705779945, 98949693, 600211, 983958206, 335931845, 115346472, 298271125, 80667001, 192413893, 367062774, 470157617, 841023732, 815241080, 955391965, 588999166, 837986854, 880265503, 749721446, 791773611, 102210204, 28272613, 944730768, 241655301, 220859263, 499334425, 533291240, 67493278, 289636972, 572441059, 868043878, 809347002, 490623642, 601456560, 387501907, 666741081, 748888128, 517461724, 169002740, 433484957, 145710539, 771403486, 257006840, 1046071347, 658040404, 181729364, 79928055, 97651046, 525587391, 226315268, 354465697, 1035911737, 1012302167, 529215842, 146084976, 954998559, 963397249, 871565322, 398003990, 174954144, 824098304, 66076105, 502694975, 1065813602, 514978893, 1049106207, 931875677, 292274738, 135576081, 923007127, 789428910, 564682830, 426457164, 1007591565, 1058107537, 104685108, 679179473, 256481245, 132391096, 1027457260, 713585519, 342200572, 1065366950, 580932084, 561709340, 879514328, 815377766, 321600134, 737673724, 644848877, 549614967, 942986695, 556708185, 880128029, 193378045, 417313625, 776032944, 1000075199, 599234099, 90067108, 713467249, 240844917, 928471690, 168356307, 346204196, 158654566, 807555883, 60275297, 1003339804, 286986285, 620905442, 617255478, 229657675, 889788624, 619896983, 20359584, 308035582, 332172076, 723613655, 672161715, 243542556, 957160623, 890159522, 373651290, 779803115, 433932326, 448314737, 400176479, 1005780801, 633425444, 738592173, 1042786373, 964926630, 293941567, 71748029, 227676413, 913385726, 94367483, 1069183649, 766798102, 187845721, 273050374, 993889229, 225677808, 262229904, 746418926, 95648323, 261333602, 847535427, 405238061, 749001742, 718285647, 675377116, 395895753, 122000714, 64202668, 311212278, 160777457, 384702918, 674025312, 985289281, 50339657, 189116769, 689957607, 38164210, 1071085859, 505176187, 85222359, 293158515, 480029489, 390996855, 45639872, 972230584, 990916878, 997284735, 29439794, 240977145, 685130719, 55395487, 433410216, 119099207, 516271767, 160155811, 478356836, 256674624, 952290417, 130523233, 824078041, 575205692, 33387678, 271763899, 684195315, 538285436, 284840700, 597981519, 209596416, 365093515, 116548974, 886293352, 925261371, 560461834, 843877242, 967266985, 565481118, 847107140, 346140256, 481170393, 701041106, 432991412, 497838838, 371090375, 733682250, 709964891, 232028074, 144302159, 31912689, 942531722, 518824700, 129449768, 980618597, 10771768, 1047560187, 513017739, 923683147, 501328519, 940637765, 508285814, 238535353, 635490459, 764727286, 559511521, 577693389, 805704957, 859051231, 869586153, 1056912628, 848756651, 806446559, 40061360, 1063397413, 433709410, 125257635, 923525274, 631746014, 376472866, 509720302, 1003048031, 290645987, 986279537, 577933634, 1052895539, 946909630, 843830888, 844950505, 624012401, 1028088445, 948556728, 483552155, 719512024, 717546973, 694041497, 437059313, 460489576, 1054119436, 971891506, 41164887, 531104911, 720010498, 769414759, 597842780, 94116420, 907598805, 98625545, 637365660, 481267900, 135674025, 580659274, 53889230, 557526393, 975873632, 483405988, 641349025, 433559764, 991328476, 801034964, 497809647, 1034149993, 857564432, 256288337, 696149658, 299027195, 225333129, 754323012, 482868893, 422380685, 90419834, 378293958, 359266969, 448834251, 50005267, 30480102, 120627542, 292143254, 997629518, 777221699, 938057184, 383350665, 33238091, 884733424, 1006002580, 893529570, 992865095, 886759304, 734464962, 199543373, 78494500, 181164333, 1014111523, 308266715, 442556393, 631079355, 680693043, 222939687, 811720422, 196671329, 673709228, 470632190, 195642868, 797717933, 968845976, 622658024, 974947341, 222944351, 921228997, 984596861, 683527923, 378106837, 982481652, 612602153, 123001437, 910849762, 675072567, 139261918, 810197205, 995522747, 198913820, 691791820, 246266905, 797291244, 1018531913, 943382328, 915628080, 172532884, 1007621903, 49830013, 307015626, 902765933, 318713707, 78429373, 19193956, 567958980, 439744106, 888831560, 928880575, 499952655, 304779878, 854918768, 285783450, 101371169, 771845712, 903422615, 946541312, 600623878, 104488574, 264469353, 946781192, 572859155, 717397496, 993322314, 10973904, 46725925, 955390120, 715142554, 553435475, 967020717, 874337731, 851865325, 419376990, 317133955, 780980197, 976299257, 274392968, 659359860, 948171962, 243971045, 39980322, 113861818, 203449298, 554625153, 150391791, 84762469, 1035222156, 908201597, 756061981, 483027332, 598819411, 1019974708, 283239007, 1062369263, 231899098, 674662861, 1000547425, 166608207, 948978058, 738910811, 823114115, 63581025, 24844203, 513041489, 390349466, 1151387, 881260259, 350115695, 1038439030, 223764287, 840917782, 292793836, 625154308, 578040652, 860879678, 295994673, 275220642, 139854654, 163919718, 78585768, 139722906, 518028508, 187978100, 130918329, 1012523144, 504000702, 393102920, 657102531, 557397065, 322082250, 148888348, 715988648, 530346217, 455604579, 189021584, 867573220, 321436293, 272348297, 911969934, 346225377, 142560260, 1005801655, 986177289, 467959203, 301128305, 140459518, 159363553, 1006097164, 457452607, 177927575, 134515824, 563147911, 1024510585, 433456680, 872475741, 896571958, 745245512, 353147713, 633115955, 633003457, 285048210, 801969897, 992973767, 997392514, 150137102, 1040880181, 517729782, 289142403, 1003563723, 65161748, 615179364, 840145071, 540655814, 684851788, 779786102, 1039901722, 4075566, 184545511, 244951614, 512987996, 473209034, 851076058, 411207029, 721171173, 145009381, 784176137, 609138561, 921405996, 505862194, 1043319899, 19743417, 83892678, 988028988, 188411120, 923266572, 1034551208, 118194198, 1063938497, 144673143, 904480344, 283754014, 589627661, 466336237, 1046516910, 1052017176, 387428450, 174167351, 140038163, 756103475, 647483545, 784275126, 548741954, 323074940, 530296565, 586869189, 889320092, 111475401, 123783307, 709564526, 29407555, 261017830, 529960196, 522054179, 85536766, 207807742, 499067972, 581758225, 148574481, 243564384, 579799731, 869629537, 284895644, 688762164, 705679061, 106996088, 183495576, 435819674, 45234306, 130156115, 574032148, 874419887, 63666847, 1003197561, 865928803, 973490265, 757206095, 545931842, 97519697, 806484515, 398670257, 63977337, 731328723, 68261097, 998605918, 895692133, 681748163, 855378170, 415334489, 547211172, 818285679, 913042348, 799038781, 410455105, 720481392, 132418704, 721988649, 435860280, 563804838, 102986599, 528956246, 707024128, 265259240, 839851556, 553046414, 627382126, 575110319, 264789685, 383042206, 178636784, 691701238, 536218857, 727076536, 751477475, 1045308612, 1042385788, 737169047, 831841691, 706166683, 487357097, 361999010, 960851889, 486583605, 872326218, 711027642, 501286004, 331214113, 905113615, 1011515397, 224451189, 844712721, 230756892, 1046607217, 804662784, 233030490, 525718235, 636725541, 894983282, 11054519, 121468729, 398721804, 566528670, 543334582, 551283346, 904258535, 835343032, 649258659, 27487625, 179161994, 800494694, 907857465, 930816369, 270409698, 875771213, 879294279, 794216854, 647820359, 720549068, 678146708, 357573934, 1041918539, 681399384, 569683077, 303687801, 1022960084, 501242195, 548169876, 221370112, 690802455, 268888054, 536782242, 601457618, 452261581, 135937893, 1032005575, 168854022, 16109972, 880976004, 199626212, 251661718, 349375076, 447946599, 469765331, 772445243, 1003774635, 912827723, 441095758, 19500588, 165951768, 587990315, 721064136, 747363627, 815884674, 935828311, 177285133, 364477990, 389629906, 444891013, 592713430, 589894072, 370851215, 179245331, 276302475, 37873393, 844324941, 264220363, 262081580, 9780167, 673570932, 95225383, 28734786, 978593526, 772805726, 863558868, 671871667, 130300267, 794153579, 1045859105, 843457756, 1061630671, 156930321, 834882998, 128470945, 592559679, 939605286, 707876341, 908676909, 21660738, 489503724, 409872091, 253816737, 826589598, 92718348, 56910556, 442174133, 443768368, 992127100, 312864495, 803362037, 438571290, 359440863, 819916782, 700135788, 1051581354, 588170478, 417904108, 693526859, 788829114, 766228282, 424365814, 898147570, 550643201, 202822846, 472975849, 825194441, 291930951, 130698374, 928655720, 354581904, 867609933, 738187565, 584495185, 1037271023, 902329941, 288316939, 72060747, 385759751, 381977587, 747140298, 855488988, 795595775, 1054287698, 810869511, 540446312, 880791831, 742002826, 846558625, 886961180, 598707185, 368000227, 911352265, 368523574, 353725707, 963474388, 746553033, 648584499, 1050160841, 981592494, 316805856, 772561423, 1022288173, 220752688, 993108585, 227424239, 793937907, 664740754, 673752492, 639716057, 700172605, 475943976, 814430164, 968393175, 449403747, 995839721, 392103818, 656983248, 838337014, 799133115, 280725816, 384057110, 1032282841, 879641353, 439827238, 621049427, 892464033, 952148983, 502519419, 257657539, 928905583, 188636973, 599918175, 108138484, 503905671, 328092860, 931917929, 113433074, 622734037, 410950432, 680107584, 798189889, 937772442, 968363817, 493691351, 112273862, 476952979, 262303877, 1012697878, 25532970, 518111629, 1026259586, 1050171132, 891785002, 190667628, 465873896, 527726994, 725201263, 322426604, 738021880, 751245573, 978251526, 717832966, 922089554, 808759797, 561591278, 826679265, 223155228, 341901632, 382686010, 520331465, 590915592, 1023892867, 726955996, 603950832, 574633554, 760574989, 309958117, 471278172, 628813229, 853578982, 806963240, 721647342, 71457537, 827166271, 686475120, 357413452, 4765087, 980875851, 935945895, 1000426397, 887182685, 805894360, 512823939, 626666169, 499388249, 321218731, 906730664, 1054835429, 416655066, 154671011, 492400875, 935926314, 273992419, 956276444, 722969451, 736849188, 1053650249, 574187750, 142944313, 213103138, 80019505, 280438734, 862787798, 1025398031, 321005932, 1073620965, 522449609, 126812733, 53100740, 283895247, 502911367, 235904593, 307905926, 987833954, 592331763, 217271320, 894824377, 718046816, 964113351, 1063943097, 724604549, 413937017, 795386716, 604926438, 1014296644, 885125123, 184605094, 564264221, 521625305, 1024332119, 1064199888, 915968860, 904294316, 34789989, 133602814, 261062498, 631714842, 151932222, 172072417, 935818007, 956702586, 32011287, 639306140, 229305226, 496063626, 313373497, 719271580, 621587267, 210908036, 179386558, 126587448, 770890842, 185247272, 671559674, 279544866, 862537551, 653669975, 40163331, 898916634, 544064099, 552137138, 881141776, 109626370, 590739100, 827442750, 763353154, 93858486, 363762638, 548286460, 102138459, 81860407, 1016625260, 997079362, 1351752, 432331781, 750789481, 945271200, 223295521, 397252633, 215569229, 211389078, 569294573, 334695886, 1033081757, 441710669, 440013297, 345599593, 520200134, 315560378, 25430587, 928312496, 184547451, 279202326, 830303581, 984686770, 957762775, 96182139, 19352845, 450777310, 439517608, 729690514, 508294109, 844393338, 1001569192, 933343225, 145396496, 446154995, 1017420939, 395386978, 267577783, 222131244, 783130050, 105397114, 981753510, 1040137173, 368455762, 984241575, 822978585, 995046094, 23658604, 432682526, 693688553, 657196745, 1019409907, 181689243, 912237844, 368045998, 1014042818, 282426535, 14174041, 761901777, 489755290, 321111053, 364613217, 468131483, 6439488, 701748557, 932475364, 494689001, 486402534, 121821092, 297086551, 30150109, 886730103, 390989110, 763195415, 396099215, 18975658, 822821395, 421987693, 388431506, 112630790, 829454826, 826276463, 226541395, 747175032, 415291301, 552194358, 209042840, 174364050, 38261916, 905995481, 514386626, 789803043, 1042392354, 181160431, 40840077, 469788121, 700762926, 117054697, 23721725, 299329819, 21400570, 465425170, 171191039, 427921946, 1067667479, 368202783, 886043645, 904345253, 1046977312, 159737698, 478737264, 584242659, 19841107, 269572671, 236922524, 63582981, 295328584, 766264629, 368936986, 568662796, 926961166, 494914607, 314444492, 875071992, 703825410, 990678324, 933650316, 284869885, 248400956, 528120369, 827486047, 547626808, 1026899104, 565942211, 368069696, 957089702, 413589963, 525023455, 1052191903, 870621499, 893263750, 36131627, 295261767, 948125964, 227661691, 53842552, 275649149, 855394606, 51628677, 15081642, 20544971, 442015314, 845437851, 764854144, 51497128, 705944827, 36171085, 756584355, 1070033668, 318763323, 679769873, 346346611, 1009523928, 400929880, 961542033, 565871314, 245102814, 826121192, 1022573285, 1021646421, 6006884, 988514626, 676237244, 288496152, 498533200, 811891927, 40462667, 817619205, 331756241, 171760608, 694758740, 271882506, 476484325, 196317886, 824228999, 1024631564, 909946297, 748539181, 801195308, 914453753, 317556475, 994427319, 574134379, 210022013, 320296904, 468376135, 479689596, 273592315, 695046302, 156186301, 537573176, 717056041, 209577890, 256211951, 818296712, 835307925, 775624511, 781252721, 408744843, 800148150, 664862467, 172988686, 774146342, 498474057, 802339735, 648879192, 966973374, 629680780, 607575812, 619301020, 387835203, 238023145, 91976792, 329189839, 870394556, 230915812, 788344981, 433873712, 159016277, 504931445, 379977359, 264625476, 1022763423, 588684744, 24215557, 883507709, 323252555, 501911649, 45854254, 292270518, 497199706, 6545384, 446070463, 160403877, 48997992, 354938539, 305196831, 738096138, 802860357, 724517453, 854248050, 911523444, 997125068, 133168450, 585307203, 966399352, 983735104, 612743332, 283368190, 892488976, 589127765, 518002867, 1029865016, 44047605, 941855950, 157578398, 729654622, 246462935, 318388123, 751363370, 279178171, 717083249, 793890566, 537804803, 372796786, 490925788, 298174831, 377509434, 850983341, 724940518, 389002217, 974869938, 922405245, 616828185, 422768805, 385534445, 470397591, 519987308, 807360355, 269811363, 352689061, 371310338, 1039479042, 46671300, 131153161, 422520578, 143365683, 99818295, 436679626, 94160231, 566702380, 571851448, 329713058, 1036226552, 472135694, 143741178, 284963173, 405872551, 452154012, 222408246, 830499753, 587830965, 710089145, 464914605, 450439218, 494942771, 305024147, 547521590, 816008388, 335368328, 636804032, 545606434, 1013968852, 838667629, 549684150, 38754394, 361512812, 390343362, 462255263, 527432628, 4201235, 1001732645, 922001235, 538180451, 829012486, 741000856, 204579286, 877146128, 772647026, 617584390, 899282454, 22235565, 550002608, 821396121, 570579306, 213345633, 63633863, 446082341, 117881389, 773674701, 1007225929, 628633276, 747807908, 622554694, 902483202, 580336509, 23332410, 738297613, 810585956, 466994044, 595419281, 560031136, 609729821, 322559598, 194780422, 743664379, 42084445, 779906816, 153318494, 449279833, 68305240, 252430800, 770692513, 644826371, 494499822, 375164529, 184317631, 994098343, 827022005, 953485956, 570300969, 8263018, 173538770, 544249673, 143179526, 22644973, 151263448, 771534186, 416851571, 832849971, 574215814, 43663735, 205845159, 611294949, 407896655, 405993342, 203379327, 828868046, 727459560, 421889470, 701483910, 33974512, 725929337, 686983658, 616957144, 588949574, 990822188, 400328582, 361220047, 1004333960, 481119092, 656395560, 599847506, 388121871, 79056853, 649646394, 803954035, 997252482, 41830747, 860797957, 441925654, 268271290, 639832795, 646335006, 935236091, 524648683, 664491174, 248325428, 625042176, 842735774, 414241930, 565001894, 480509012, 413800503, 212338889, 782529422, 44752937, 746205050, 860913456, 770411377, 457224616, 506055909, 100663128, 69816880, 645791112, 555424253, 986659708, 384007103, 618535843, 878266052, 663870177, 560105832, 901312102, 27996979, 649252782, 879751576, 454088608, 77298826, 54025723, 791283797, 251443488, 517971267, 614197981, 443937985, 527836832, 490833331, 80138337, 1069985936, 794775871, 608596688, 38268512, 155760393, 772119679, 45829394, 839024589, 848318546, 673921249, 162689824, 747467653, 722731541, 567440083, 493515713, 466120562, 472546106, 466300596, 141772348, 545728242, 863661471, 405654309, 393361539, 472131566, 785957568, 530399055, 1058224655, 699264208, 140702495, 616225082, 587158063, 1045651977, 194771373, 915149673, 321317706, 189429790, 758275970, 121370394, 9285349, 472510423, 75003913, 238206643, 15672187, 15621691, 623907353, 155779161, 783861743, 760207579, 43173056, 1014817702, 336218645, 827219827, 267440676, 374044099, 413766108, 111825275, 602497411, 1071984365, 745722975, 1041094285, 406840751, 762096010, 64362926, 980943042, 903243042, 725479873, 921306476, 788192974, 622715765, 696135779, 520355266, 646351189, 287566903, 1060967617, 484857771, 209020894, 276876283, 200073869, 43889284, 323326946, 777632132, 424892877, 858831409, 121533281, 292986751, 499356822, 162421416, 898580622, 276081201, 591746805, 938411164, 356755132, 748758310, 263691444, 445415003, 488039860, 803106213, 175379445, 328005545, 625201833, 185580432, 468046006, 479861389, 136126476, 287775672, 119953502, 968646321, 698427690, 883967840, 54425432, 993404952, 1248291, 431980620, 643510071, 563157487, 217528127, 79337681, 558835458, 803214313, 998436091, 1003937793, 792115020, 1047925498, 840919118, 384218921, 712334912, 717391339, 814146160, 687290732, 420943938, 653453781, 499963366, 983274278, 422942391, 422591707, 826691569, 1072549130, 134233382, 52272253, 561110555, 736489400, 70053969, 794188831, 8291679, 468950375, 904474898, 585790856, 829159546, 749262811, 715989681, 23301231, 10374434, 968439495, 683034210, 1026357077, 339076224, 151760759, 497775323, 597716192, 936845608, 806156555, 122368530, 837554238, 860736562, 173321089, 417788011, 170557566, 634696275, 189457955, 591162502, 213957958, 416993470, 988610194, 735765365, 237277122, 562102909, 340403636, 314413866, 769719694, 247710012, 86517019, 670901273, 586899090, 695510119, 698740948, 174861579, 902248395, 534539465, 727734048, 375052137, 175613384, 140605993, 242502604, 480600610, 111566040, 100915749, 655771606, 384850246, 39455010, 530841618, 17974543, 356981235, 680025278, 623669065, 779765953, 653067651, 156071680, 260333712, 209091314, 250016979, 374288027, 131783813, 82987404, 537636470, 191361540, 338123651, 332552954, 651544223, 498411622, 586338840, 171522151, 682486982, 917313458, 578175105, 288949397, 88501503, 453757228, 309876983, 465049893, 654141168, 568501176, 634843216, 984190752, 464905318, 472762577, 34865291, 879440268, 110549515, 414687242, 531104820, 87036707, 1014744415, 442671823, 944583831, 563873985, 475183367, 866556725, 994576573, 463310470, 119658453, 914517800, 911139681, 795055409, 1044688190, 888155541, 992163737, 184943682, 173446652, 695466247, 11119786, 90472574, 349200552, 444337091, 732786938, 689861040, 397245377, 649464043, 729008989, 655676360, 920927172, 381519800, 931665284, 520709336, 58947088, 597198326, 890496890, 676156588, 748448372, 773821252, 348569801, 693595170, 94212386, 978269198, 16403143, 1036927968, 1034301524, 748102880, 203293820, 383349096, 535156900, 137063199, 728151030, 723541666, 401278402, 706578192, 1044182015, 147483240, 157862094, 987198341, 1010294780, 1070105852, 1034373700, 1013994111, 246424222, 966321220, 1046223715, 721813090, 348278678, 291468492, 201569003, 343363006, 136043531, 787283979, 734221755, 450239490, 609924685, 1029299027, 920572060, 875019134, 754455917, 593199199, 532591286, 823626525, 932899616, 638970515, 492047797, 124316761, 462854127, 264497999, 245196297, 238383402, 428432632, 1060806778, 567065048, 728774252, 624810046, 223025304, 113107533, 486660045, 517597695, 519353702, 985437518, 374388514, 841704335, 246644912, 82620375, 714710750, 210979963, 519404233, 972561880, 992504347, 1009780724, 938423572, 557293479, 677152158, 594944446, 754367837, 330342615, 991478538, 604861254, 884795846, 22843051, 604414041, 762999316, 811324283, 550840299, 98693324, 823145356, 857740626, 84560695, 255746354, 436506925, 139082246, 490238801, 221025019, 987572847, 530553383, 178321853, 128704117, 1052513601, 460191753, 727718433, 123094535, 673915617, 1046240532, 500939996, 13985822, 895117350, 752809866, 714208345, 167633565, 710689204, 329334539, 99276674, 446864725, 348968731, 722080052, 821381545, 979259068, 93760185, 1052781355, 322618293, 177170160, 474131795, 197261772, 996277119, 219486284, 206461169, 286101173, 995213723, 171480883, 562510246, 357212053, 52672654, 974682770, 112859733, 1009421393, 673485623, 215939382, 952768366, 748637074, 1065653801, 504844509, 1046213573, 499663111, 929876667, 426353072, 999316301, 63926794, 155075158, 330804992, 1011709351, 423927512, 598001564, 963580700, 873579478, 823709108, 74693799, 486184206, 454007145, 425716618, 1005100261, 983473811, 160365478, 145410469, 785731793, 173873661, 871057795, 795174000, 1000010311, 502143758, 982950170, 838154645, 533330276, 332142961, 1029663945, 149917043, 11784571, 416788296, 144563441, 694790938, 273577082, 36944800, 582750061, 1029897596, 457485213, 755220927, 1000206130, 907350756, 443125527, 270803900, 91904220, 988306590, 957084730, 465740440, 449577562, 148215284, 92132538, 809337989, 458412840, 202480554, 401198412, 149909153, 610602091, 427868708, 373762343, 143879565, 798043431, 1063657187, 727339430, 449169818, 794349706, 816443178, 737518858, 634455480, 298732978, 734702759, 1007637473, 794173061, 291864781, 376947460, 416279055, 845664738, 455091321, 419047496, 120869102, 916378590, 947372387, 817381508, 45188757, 779816482, 427456612, 218685627, 585578293, 934187183, 469300964, 328294448, 570801640, 69730782, 942582583, 459820955, 318743063, 1033291479, 182554801, 230908105, 86660855, 458891396, 34068737, 147921653, 819478802, 430427328, 924313303, 169104164, 452433925, 535896817, 21740033, 184507584, 1021330621, 287721044, 438574932, 280454213, 5266456, 677600755, 309636428, 966167552, 540266480, 805357878, 175483319, 624645253, 372912071, 168003022, 666955353, 993215262, 290901897, 734307489, 20482990, 53394949, 341772722, 172258396, 69222461, 18564380, 92371321, 6228359, 188410277, 602821809, 291368182, 826799880, 146675614, 134144182, 1054339763, 103136119, 1036833865, 570580136, 123242826, 395799590, 115589806, 92444891, 369457261, 748949732, 267439233, 647507780, 1030835201, 551365965, 429773963, 927084350, 472309512, 683203737, 84239185, 279882321, 552929124, 319717723, 881104147, 376879940, 505101438, 286532025, 179741032, 463059193, 514812832, 495175484, 902183660, 1007310550, 522241993, 797369358, 536011429, 671153889, 383940391, 534577463, 959499410, 433765550, 174120677, 162747311, 543403053, 2293798, 294089259, 343964351, 909972817, 984456448, 533191953, 799224319, 606847807, 327236332, 953500518, 49713310, 837601520, 768693707, 24152746, 718108316, 944052301, 135706106, 653385903, 381804974, 699235448, 867191872, 179011711, 18666082, 893532433, 768243286, 459484773, 866825141, 28017959, 403671139, 974795462, 148637414, 555013531, 73230816, 728188510, 515512203, 17050170, 420564367, 1003882195, 243138412, 408266307, 607157757, 630360295, 1018013778, 914655249, 508719235, 51351713, 91192061, 729563485, 277590937, 823538874, 582717250, 686586063, 90340828, 597102279, 641990940, 724968082, 852769651, 584866319, 474682055, 403108791, 891545358, 996151990, 405794102, 241081696, 32628111, 308471306, 622431465, 669610359, 267855643, 207446276, 83461420, 167232896, 292536576, 881967890, 88964777, 43826802, 315268098, 1053267915, 492360171, 160669639, 490303452, 94063935, 849191901, 513634771, 202154487, 929786415, 21983041, 647819008, 1023584324, 1061677950, 883078085, 541880420, 645541819, 342479471, 617354489, 868139919, 881713434, 690804348, 757154578, 408712215, 753008178, 350627338, 290625474, 952625148, 852247340, 967180289, 910699042, 264362276, 304431654, 491251999, 202636634, 578702739, 930037269, 313725554, 232379566, 224845181, 817784147, 226250385, 774757560, 889761934, 628963030, 376041937, 400847024, 976689608, 658070547, 57150807, 561633566, 30032642, 201695665, 438431124, 87241328, 112515981, 576203880, 476592348, 742059104, 445875940, 1040909697, 335162522, 220679621, 638602712, 316377571, 537294489, 773206731, 392876906, 718778132, 778648144, 797304405, 210488415, 198439436, 261166632, 227326990, 807841393, 477348063, 886979962, 578634026, 982748136, 350431880, 23227370, 126548581, 532305216, 871903644, 1064552798, 75517557, 711583091, 191041349, 538442236, 614964653, 35372387, 681017787, 646650534, 793212194, 832422666, 777084959, 157021858, 942338499, 891224779, 60765304, 990799330, 323264086, 576917495, 640261923, 911240871, 695559627, 996909532, 493989892, 326971731, 1034014341, 527114666, 1043399582, 359857267, 916787494, 230544696, 1018331653, 744294810, 855736287, 978617718, 840446290, 21956216, 741540113, 233870498, 637953799, 605856795, 876344974, 720283014, 276268510, 822840957, 89136405, 92535115, 338832516, 115832063, 358608687, 448358281, 793541118, 149162311, 843902038, 227420815, 93850378, 145539822, 143320264, 210625438, 517912380, 557525754, 910526167, 647604175, 1020630966, 102990879, 531831127, 1024879085, 924288761, 757186077, 528755597, 159709615, 760602326, 276218879, 843842640, 978085372, 102761646, 683719330, 1013258866, 791598006, 210921317, 136973892, 843513906, 527076682, 991141809, 551408325, 986286669, 660927441, 53788543, 327375827, 683418678, 177216322, 1031542444, 968821967, 866114012, 503345267, 296746115, 4910603, 234685820, 409304191, 712689734, 1039719711, 887856956, 350699174, 224673870, 4151287, 509489096, 1039977111, 427562423, 1034003888, 858566651, 1033394970, 694393593, 894712700, 664610493, 849022973, 898680535, 315870928, 430303529, 494647875, 839365353, 433753048, 534323290, 630352006, 936345944, 18495842, 597187937, 360731684, 573275178, 208578274, 896986145, 406424562, 220574461, 815596550, 643970282, 257879313, 362956784, 119573365, 1021343555, 331246769, 1010043861, 828567000, 294969886, 643632730, 347384675, 1041008135, 1069560930, 109109146, 577117665, 841783125, 763516216, 623299269, 9995139, 317748664, 827635682, 187125088, 320990184, 28488138, 988452543, 383763887, 484696383, 664324392, 455128333, 768005493, 717705213, 476957238, 149488250, 477107492, 684057139, 66354373, 669706808, 362359594, 176834656, 808668881, 1064536364, 1066040077, 756327035, 668234116, 1053137405, 732263105, 913445952, 1050862338, 865663240, 26772516, 607436298, 708628421, 807713898, 957352797, 1023053910, 976523799, 655223872, 757581100, 1065747818, 511280378, 742827099, 176042522, 187985173, 338710829, 886244870, 159152478, 308440980, 137890321, 907041128, 1003246586, 21046601, 514693242, 683939282, 9864301, 519391176, 358139580, 282739805, 1041151695, 147481387, 527059423, 745879649, 424219331, 594877651, 19083234, 456404990, 464167203, 144868243, 332445513, 876538143, 27935907, 606487900, 616177233, 743397412, 722335870, 552060809, 12873206, 829657232, 1013502580, 199136112, 43307209, 685966385, 1058641579, 398560142, 503329718, 652650838, 467640519, 877463547, 841436610, 307097624, 846827709, 75243908, 366541949, 825522267, 716001026, 949134722, 76688138, 205785639, 1018567815, 524560383, 590867689, 537133644, 291059046, 32586725, 52044223, 172473073, 928629803, 159230685, 1009747493, 504625048, 1047597371, 91852814, 1023433819, 888663590, 816195487, 355707498, 1034909857, 1036535612, 1160879, 491302742, 869509445, 87439895, 488030162, 202158391, 408202275, 359154443, 1071603828, 523722702, 1052951880, 278221342, 400679503, 89596460, 1014765002, 419850088, 195848747, 401473645, 1025880254, 114913776, 698715592, 607984748, 483131593, 863467063, 667331475, 971961761, 1060773998, 892169737, 640646541, 803931931, 569813575, 818798696, 1039013073, 555229447, 22001389, 546985953, 41835659, 527553186, 250608717, 171218683, 756236674, 148016138, 680508912, 1023278284, 348074995, 414759907, 435629922, 143741919, 774019454, 773037451, 983136708, 530833943, 1070565003, 1011499277, 627996746, 234760385, 433990504, 737924440, 649998990, 315280235, 790521366, 901237620, 428363239, 1006999343, 231486677, 887273434, 850515532, 711628862, 470045213, 383439630, 858565800, 305684064, 535298180, 1006710357, 1009684630, 380639686, 966156251, 115665853, 788437106, 838039532, 518761755, 228554092, 440380868, 510308796, 446556273, 232385308, 49944334, 254689121, 201632763, 683412869, 371788627, 610216308, 895255473, 257862477, 1017205590, 428587855, 721267991, 428830555, 223724680, 836297567, 1038467393, 240970134, 48156115, 864569670, 726419803, 626668462, 481750811, 573970790, 995959458, 164062399, 877329407, 201155619, 541711603, 262777884, 359663645, 1056907266, 175941479, 960005291, 286204633, 478934855, 740524902, 749206807, 1005794803, 633832154, 492987324, 555150008, 616240792, 824432856, 533114666, 687525389, 1066491884, 780395534, 401810318, 310207021, 167492078, 184955331, 50517805, 18621226, 889920270, 143341528, 75937716, 975341644, 257192418, 547378215, 379015578, 55327890, 393194469, 314083957, 1028537054, 243179837, 274014188, 953003882, 104375480, 15994653, 944206620, 708660028, 286046936, 983631646, 496746664, 993606931, 185325355, 415198474, 979825316, 192254797, 1045994519, 1012213983, 393990187, 552892574, 724136366, 521799267, 114425556, 890633143, 812454807, 550464034, 238594641, 562749513, 611357112, 108811179, 79253368, 83599788, 819211726, 319881665, 631574111, 108281755, 122036892, 398966296, 429577530, 935785071, 164446574, 1046749253, 983182593, 562867242, 524496446, 621093343, 876595947, 359512990, 1046977273, 93534577, 1020300160, 994962609, 945779825, 583208578, 138486150, 819863323, 167854138, 1014572536, 477814332, 287287106, 254415366, 280661431, 913363796, 440968709, 538144362, 1044125275, 90078977, 573673418, 841426341, 425740321, 471129206, 738395567, 648604551, 25362104, 635181065, 94365452, 734835144, 824409713, 1048166442, 873480975, 519248199, 704679368, 925341818, 948331526, 938518348, 871843439, 921386514, 713235193, 61112259, 802900760, 962943867, 520752160, 783101226, 982768579, 68890362, 577263264, 533363556, 866280886, 598930068, 753961911, 106782723, 370353994, 629981386, 61931985, 167267879, 1017328482, 416967786, 773396212, 386420260, 571228422, 107101644, 139585661, 295454052, 353425541, 992576661, 796664501, 512666475, 594724347, 569250528, 672740599, 119472112, 722856664, 755346543, 400687337, 89386447, 578268625, 894215184, 429194136, 395387073, 296746830, 949951199, 502905940, 995863111, 1417991, 683711545, 53384770, 708039545, 897354600, 782599678, 421401003, 720323148, 335866466, 587136519, 587837057, 556267364, 1005233716, 737613000, 417932268, 221493173, 794693150, 363747793, 484932656, 913712040, 223158098, 398822020, 856689951, 357497029, 679630828, 1034859097, 314837487, 620236389, 913416933, 569575926, 576292726, 412380807, 489953121, 733513326, 902817017, 974253729, 991720294, 267392143, 407324493, 605388449, 38823599, 664738040, 529449525, 537777949, 362969883, 296754988, 1038195623, 446779220, 283687127, 927247762, 147038366, 1032927738, 886903403, 81127264, 612360876, 1015491644, 71424674, 837548805, 975419362, 558765385, 852218832, 90053117, 187071787, 131260535, 627992962, 1052486845, 653638959, 973261495, 729161890, 158941007, 215317868, 58026553, 910492133, 536524953, 310749489, 193255606, 934020567, 616669399, 495502252, 1033540950, 1000522076, 169142796, 191912, 775950019, 751198552, 310043189, 297240022, 505550704, 1063323112, 450513386, 724205303, 475077544, 133787861, 634320013, 1035777445, 1023725326, 19397539, 267280189, 498610420, 380771133, 669006787, 523586641, 293612781, 654951648, 751362660, 24763324, 579476860, 784855510, 328840059, 661425705, 695586662, 9472869, 598298966, 90533004, 795604720, 809822708, 539527262, 215365859, 408070295, 448869864, 736453003, 130361877, 822307587, 556711723, 314262377, 954245648, 917114132, 88745895, 177188052, 264355980, 439362289, 754511595, 225754422, 111550096, 241784464, 784458365, 425957289, 20766904, 955863688, 859764457, 878897717, 234513688, 578663897, 277217229, 238761851, 863122569, 445322131, 255683231, 239505728, 128457133, 1002188403, 717588543, 931616799, 542408624, 867984350, 535587501, 1054379338, 349224651, 147214900, 733448296, 604524170, 417660403, 845325329, 887596425, 266209712, 57712535, 820718024, 882126072, 50055126, 795393162, 908765542, 780375041, 585423203, 512993604, 820177121, 53320897, 26858607, 1035335242, 361645948, 373033196, 288302708, 576277372, 571752131, 124507945, 99141404, 326672867, 554985366, 84058287, 60467268, 179700381, 234935220, 25280155, 946302186, 450155080, 40485547, 441265794, 1071974108, 953109750, 347530663, 709768089, 67847080, 793853865, 287837751, 219669650, 187184697, 49816592, 624425849, 933440733, 556249483, 879102564, 758776324, 590179705, 574126731, 188134464, 648764921, 739493189, 385014479, 837296123, 364385767, 582705515, 461985778, 745795288, 70701056, 428893367, 52330267, 682771980, 49922051, 434313894, 101191786, 453167526, 471593043, 804716348, 576895571, 49009228, 1058446815, 744767289, 299395007, 1051024388, 541745402, 638179724, 531378091, 241620678, 543666208, 346391552, 363622154, 249849899, 395443731, 479323630, 431741951, 746214059, 921696862, 731400631, 1013776332, 190627299, 177414046, 571112794, 934221662, 26844797, 672052297, 859144372, 305592016, 505641804, 263603044, 634909841, 732447678, 514381669, 8832351, 585112118, 840173739, 942544677, 175738171, 582406268, 724858978, 917499126, 519333079, 127141429, 23688315, 471332851, 950678630, 899656247, 77593141, 127083455, 105740274, 848134131, 150268791, 666321816, 832147923, 461882103, 747171895, 821417936, 898101102, 576111865, 55760268, 396950114, 975039259, 693056125, 342097296, 850050076, 165553164, 592012472, 398041385, 222794058, 1047255020, 489523226, 340885812, 927916293, 478390973, 476325381, 159561923, 943056934, 624528366, 943202336, 426902666, 785510795, 774858379, 874154949, 1036707699, 610554607, 860557408, 342950124, 18909041, 1005301801, 392633242, 13003164, 712428731, 4754862, 473521203, 757756974, 268701115, 616584725, 618260155, 974598532, 533435996, 283884575, 635774537, 982484722, 741074866, 342872469, 27962233, 909203097, 494179065, 312609121, 813085924, 4670128, 939881188, 677395928, 476684487, 307288105, 770364689, 1030075525, 816133159, 754199412, 43086220, 837073099, 653630417, 516064113, 819930123, 999644139, 197814148, 583932609, 681772223, 322587988, 641360276, 248886184, 407557794, 564300935, 980864329, 1068493045, 392627600, 41574197, 1009746703, 351514254, 1036353163, 1024343049, 5598697, 848036172, 804957509, 58069886, 285382608, 568799215, 825404565, 19168328, 73714741, 808842379, 474152867, 370828967, 539590187, 132304402, 410321057, 800444508, 809872563, 233672373, 120961658, 85923766, 518025197, 795498333, 618719317, 1033342598, 636700609, 573695972, 869524590, 786273618, 622917071, 511365679, 189509028, 625126119, 324409835, 802477912, 1071107240, 338553318, 418375293, 243921103, 142924964, 290079780, 501120070, 856122834, 470033282, 506078801, 780849552, 755288084, 607939354, 653712097, 362596775, 62745536, 162295193, 883515005, 516201663, 87419128, 131366048, 498174752, 553412830, 515776742, 861427277, 787183655, 1012649363, 128716960, 523460193, 364408493, 557137109, 65073665, 926977391, 634762454, 268357990, 657507446, 720893667, 985335973, 587238288, 399227899, 104940081, 237693765, 317083737, 297160337, 71649151, 330186735, 141058430, 307971147, 439492380, 296595785, 810777290, 637832358, 108638113, 585824044, 501791327, 402058419, 909255890, 492431630, 184102321, 88936374, 458249153, 750064723, 586985428, 976857811, 1046287519, 1051019310, 587189998, 601006145, 812217389, 967777852, 538751423, 841746281, 344972542, 604080273, 547037699, 863560657, 502012184, 577362770, 249054960, 131672371, 963967932, 10024444, 187843803, 1054654193, 721414473, 804060176, 941649752, 383535143, 527615030, 467510772, 517398843, 1000290807, 395186332, 136514672, 10711186, 848850578, 976631391, 435219877, 377157702, 88376603, 376817559, 605746353, 564498882, 902512502, 899273976, 858677540, 106303650, 451262260, 6339164, 526343468, 417752146, 32755156, 7999093, 508251252, 263644676, 251703718, 11150170, 228621412, 226303315, 651240322, 965363309, 459051938, 516171816, 124080982, 522901395, 741574107, 924921100, 290409716, 288094403, 599918128, 13087975, 49018264, 351884407, 51431414, 726096531, 795284101, 402528456, 993967579, 620871272, 96776635, 340772642, 460214166, 686335031, 388683003, 597678857, 505516369, 678753459, 210942092, 1008171374, 246455765, 517059632, 503096281, 591517576, 86392655, 110978305, 559368414, 385857098, 1003141902, 775435945, 931640464, 704564767, 932193598, 97975360, 455224961, 7123327, 764602563, 106645257, 609154517, 583021012, 63913543, 1009380474, 659236513, 107004255, 882723462, 613904075, 562730617, 334531067, 571280691, 365793508, 773066162, 187628518, 284978383, 792478564, 308107846, 929270554, 111520886, 270770449, 1043541911, 1070584111, 783298603, 218733321, 237548510, 251537237, 259814009, 646304627, 305075869, 1067053421, 56735343, 123933652, 620264930, 872115478, 345991394, 406459871, 654441003, 381137300, 917838096, 468170608, 985913340, 738490482, 353260693, 740634362, 869281566, 963495007, 478944470, 927564915, 486759816, 920434913, 125456807, 880657867, 506341994, 716565627, 1063033634, 404512242, 349437394, 1003936861, 966351021, 434313123, 745470718, 558530502, 850843442, 296518847, 321411976, 848686047, 178398871, 815358307, 247498470, 317591684, 42938140, 868352704, 1004329470, 85249318, 927608161, 959463171, 205192128, 640387728, 4305531, 715213480, 110037448, 868356610, 970528888, 1049004179, 443937295, 288173805, 133802070, 949489477, 690138742, 909435499, 397717426, 696936241, 736307372, 754749837, 65491016, 1001601011, 402109417, 634049460, 317901330, 202329088, 361787291, 799510256, 747225609, 555334188, 249011909, 234736151, 168876540, 453648246, 208199551, 861950173, 681284842, 388427272, 937873151, 263041627, 906609248, 211945240, 711233857, 75600840, 1063110837, 600701129, 720466797, 182196340, 835084464, 468405501, 454404227, 1038848184, 457740811, 352395068, 529009534, 376156122, 821875740, 659855982, 487184595, 834740869, 562861634, 950694889, 863327700, 158054919, 1072952203, 357373134, 246066819, 664913120, 637205233, 25201634, 791616584, 926084707, 1041412482, 356432506, 773924242, 18453104, 408758349, 1059005246, 1045812271, 1026495098, 159102025, 704362899, 265632357, 453664433, 629579190, 636382552, 41546996, 706212630, 990922343, 1064499882, 294194552, 200499425, 639207653, 53255510, 498950587, 642187503, 753668850, 39388239, 460155066, 408931218, 313470274, 72618770, 159018982, 1047847562, 186238707, 851634956, 222232676, 124011370, 624492132, 470328569, 315910417, 123432890, 656264910, 243486869, 450932111, 234592743, 17991778, 123132396, 405883375, 56873976, 39317505, 59636014, 122758919, 107343239, 519071724, 558992118, 509168617, 480886575, 371654280, 908057186, 918992641, 228507411, 682480764, 977700160, 894361936, 626548297, 496246598, 581513410, 942690684, 307103525, 337203754, 390628081, 1028102555, 950753565, 539648588, 860442085, 787270295, 59300216, 46661549, 821872863, 449860470, 96766672, 368647386, 622094331, 905275184, 299098079, 917651612, 1030296604, 1006504495, 666959918, 657752264, 800733568, 381748552, 509819182, 656372345, 139207026, 920483780, 864315134, 71807860, 804918923, 381786124, 947640360, 59968574, 113943185, 311902854, 728093222, 1044546462, 368268954, 691174649, 1043092894, 122446803, 484566868, 1030297038, 596155599, 902978178, 650255304, 395765628, 1037839646, 498623347, 829241830, 1023859999, 715729694, 727950025, 695119902, 606979369, 683612576, 484084819, 989902567, 1042619079, 713148842, 471930729, 771068798, 769580876, 42163084, 767563019, 461005463, 941291189, 291216760, 131348558, 234845114, 744989103, 257926507, 864459604, 224809864, 316942735, 1031411468, 637322676, 982422336, 396184751, 57353340, 525920745, 429634707, 61593091, 214257113, 570738649, 964380190, 398211588, 857188993, 374494912, 891940458, 374836521, 651143902, 736293888, 231438006, 752865164, 682672824, 432313096, 767971485, 840504941, 568218828, 877950240, 705730856, 373049866, 1068371974, 997051725, 433963177, 529911605, 595403845, 764030108, 267995241, 521861956, 378448656, 816791607, 168333297, 271923014, 853940701, 1073703933, 682441792, 758003869, 65641277, 300701484, 170981703, 202403595, 675526950, 861347923, 775000923, 631230578, 1032227180, 742822653, 80122696, 461327030, 536751162, 43376367, 475796338, 995270502, 508003766, 264198505, 695792112, 437387490, 274839214, 384205748, 967078258, 413309915, 233911445, 759978283, 832111160, 262528144, 300975270, 245927894, 732901334, 895804606, 1011569590, 603882455, 516753378, 34132679, 1052912661, 502621843, 244808383, 850099750, 107323124, 571885683, 209504568, 420387282, 706113630, 779943109, 79529009, 336076400, 357729910, 561358994, 18243748, 550983987, 737204117, 820519353, 429000329, 106382029, 220751992, 684254149, 158686459, 707762538, 481041007, 784102862, 914317097, 468151653, 99105945, 921289074, 207863033, 651880705, 46928187, 90465577, 184320566, 1043818751, 866996701, 467223220, 577035504, 597181388, 233181413, 919839245, 44349431, 186910723, 547266511, 1013413558, 993594483, 111009846, 864088477, 193307313, 719494432, 92398200, 83111681, 824367402, 601978716, 337986164, 788425730, 236526947, 799122734, 72318523, 634329896, 593494891, 956734998, 879783167, 295318079, 1004964588, 408961800, 1042433359, 701411471, 128542622, 135610139, 31299356, 642777679, 272421516, 104421291, 822069059, 719445318, 184773387, 596722173, 786832533, 91186596, 1061252810, 339500338, 180027020, 1014707297, 703265774, 713297285, 412410061, 1028373957, 239365888, 915852422, 954169772, 747876996, 32910494, 595955590, 386401542, 787790592, 48950159, 254076055, 640682963, 743896790, 784198612, 324497834, 463401180, 872111965, 700866453, 16622674, 1033344535, 668240258, 10717701, 876238166, 377137834, 1070603395, 610960159, 1051577644, 71737433, 218207917, 47803484, 109658920, 29497189, 848845180, 227530936, 131949462, 515166399, 577398860, 377483561, 615999792, 741521490, 625643643, 82434221, 1022030035, 266407927, 598041761, 246569037, 170473387, 736653580, 275243262, 611029354, 432240355, 1065445302, 1070776754, 205322135, 264812243, 764030401, 1024067361, 74900736, 659835755, 882109675, 483416379, 888751885, 882758727, 635725435, 646340415, 881653059, 351936831, 635121552, 192620219, 311095865, 538438426, 423528622, 569502316, 873138802, 59483637, 687665135, 824869806, 980511304, 268144904, 532897074, 280062551, 530776694, 471947164, 725833925, 74793527, 844186518, 137413045, 259431293, 284306435, 726788321, 190922558, 308591793, 792984082, 905985686, 840462289, 885421281, 699260047, 618526033, 79345969, 246166376, 369583379, 495443000, 660945352, 884750725, 1064690061, 726808789, 916522578, 326782349, 583700729, 322048637, 927896727, 418255955, 638702340, 671044453, 420689729, 207359541, 981059157, 671001115, 346632408, 459290653, 1023882000, 48403866, 69932532, 1068217317, 401930743, 234489455, 116566658, 914073263, 848404470, 281960643, 704174596, 886144394, 424486520, 382076226, 922478397, 446916490, 110732977, 679550301, 520167550, 143361305, 491386821, 543395233, 502694679, 685500022, 863877844, 1069595782, 236334568, 740937356, 501814509, 661193017, 479560145, 997885336, 652163199, 166565563, 779107755, 102750094, 556276217, 17892902, 277920779, 780609656, 732915884, 829025496, 71666107, 629282570, 1014174240, 862272728, 366091821, 759184251, 1071290152, 393438969, 82029173, 791992492, 1016190140, 441820, 371313383, 919870702, 351960421, 287508281, 276240739, 33736178, 450572667, 707120008, 713635093, 332317613, 392942672, 350310096, 987711571, 605913739, 652806823, 612746993, 895045806, 920820611, 619630896, 106759501, 168966645, 613358956, 931707614, 249256011, 270881123, 603455030, 93553430, 312912699, 518953850, 99797269, 599241357, 513656530, 413646062, 360165127, 1007954180, 256206818, 314896294, 372316676, 659123719, 297759070, 306155406, 413769402, 984715795, 100175809, 595225263, 191715377, 333394360, 315410806, 1003434017, 573429465, 467289681, 972134384, 238985207, 650182384, 201334924, 707900440, 629911680, 253485748, 1011051291, 706101170, 536824563, 521386636, 705650223, 703333990, 825661397, 128455655, 934490035, 23769301, 286519175, 164603149, 606172262, 328134990, 838190084, 19213370, 824615920, 567565207, 203513899, 718505822, 35803707, 622269971, 343964684, 875758808, 570728123, 1029137145, 461338116, 653275668, 120579469, 296540473, 513993233, 133954820, 783967313, 828127581, 799495887, 95914886, 182082457, 903149341, 275050574, 237083791, 329907786, 821848925, 500954535, 1033455257, 136915065, 703884035, 887200539, 78854812, 369801150, 910836934, 256099966, 402976734, 486383869, 264545407, 1072187448, 513980741, 951072162, 590650799, 613764305, 373091711, 952077120, 997715924, 600495871, 412049570, 4484472, 332956698, 229865237, 10252005, 204408942, 873004351, 583013051, 909604721, 742575778, 438013008, 238984224, 655153360, 947351899, 1032539727, 593990010, 80978738, 747104293, 337396523, 227679452, 533867337, 643757678, 582259608, 320780672, 639126480, 461936375, 493945773, 376501907, 12439075, 610859962, 497415647, 833339406, 176958565, 639024378, 921564023, 842034901, 93817090, 571389143, 932147409, 465043907, 511590894, 1008965628, 448887736, 677921217, 102584383, 1010541947, 43849530, 269394576, 227897119, 1065119680, 984561602, 609055640, 1001022271, 632888016, 853028887, 604053666, 938050897, 801179491, 984933162, 823562511, 307384635, 760881547, 201011168, 835130822, 127130181, 136569116, 249440737, 692946258, 924150312, 39470131, 228307086, 965593747, 411847673, 559547320, 680773987, 435896270, 694609159, 27620511, 243054369, 886029840, 185884257, 1058278198, 864405143, 1050877994, 461587534, 148260160, 28622879, 673152432, 252862260, 215526859, 115987362, 389839658, 1030710974, 441144605, 855986640, 795803535, 674012691, 776804193, 262049183, 611681370, 305987283, 142317422, 586939637, 663659308, 305917725, 494668087, 729498426, 566034932, 426263176, 462792617, 965410208, 742918538, 226240197, 554387270, 94600786, 732785639, 677173294, 535145910, 297750023, 888368410, 205845228, 688068730, 292730415, 914121846, 956785084, 146277028, 764053397, 179910595, 17991693, 305325779, 845782983, 122952754, 24286726, 933988542, 683044621, 924113937, 600054620, 923993322, 856484524, 997836775, 405364276, 532562664, 138926725, 372328209, 509194017, 848573227, 739863164, 452956242, 173252211, 203795348, 540485682, 640824136, 724502940, 192355550, 682728487, 27585631, 612861880, 123011107, 694789012, 19402883, 810685900, 200596799, 277896363, 508664136, 928486128, 69822164, 413530440, 870072523, 534765296, 8412419, 937966584, 794922388, 85071435, 2809713, 52105496, 219910758, 545366570, 532251830, 476632365, 528169236, 463995897, 661727990, 479099129, 994038000, 245844323, 950799054, 357167042, 149899447, 878989499, 495308575, 520036354, 793886757, 337962925, 878500, 840549637, 467024587, 392307744, 888058342, 366308326, 914323921, 785710078, 1061379525, 1043993244, 114529858, 483635517, 621956341, 526930246, 761263457, 366648638, 155681200, 446584553, 715544915, 726832576, 911254301, 745505401, 731500398, 778173792, 208032659, 3259952, 806343928, 325464821, 783020692, 150528390, 1045073211, 765790753, 905863994, 126145279, 470559674, 322146422, 64092341, 806164608, 620318489, 969251671, 513541654, 853624245, 397149978, 210409571, 873375920, 316799361, 515979799, 470957989, 522605013, 439000344, 957924355, 76776016, 702296727, 19364534, 59347601, 445971157, 531943824, 315089971, 915174202, 385272174, 956116124, 305684216, 794380779, 301385537, 642117981, 752205275, 170095137, 844986964, 218671216, 176758174, 611016482, 999981511, 313259390, 779781681, 925714151, 881899472, 671672612, 360591420, 318573045, 455415763, 454241437, 644693561, 640475286, 602503571, 507754818, 1029644838, 1049713562, 97680097, 914370871, 579400543, 224115874, 798382118, 653942831, 675729690, 83453823, 825070243, 185606482, 809990123, 504571981, 756517210, 483851497, 133156808, 235353578, 465502401, 177618198, 2132094, 9183975, 413596434, 426670274, 864469375, 503520936, 756605177, 554835925, 933850262, 844713543, 336743083, 648219217, 20230189, 468564772, 284687436, 1067626968, 76053288, 41073892, 183723200, 256056364, 329931269, 747438704, 560986015, 1067337560, 659896275, 1026236918, 244573129, 300596746, 621776719, 163263327, 771903665, 561956755, 314729451, 225356844, 485535207, 1027887610, 701316378, 467618395, 1030115375, 177793757, 125382555, 203972584, 145662439, 864381731, 106424123, 980645737, 677585967, 125977004, 72751465, 6534797, 300248553, 999855298, 154488781, 437981610, 563929667, 126248980, 422111849, 560339119, 864311034, 705537052, 573011360, 498398763, 934071432, 1048300098, 170353920, 821523402, 1002226186, 75940090, 1004701383, 199722498, 281426688, 746613869, 628078629, 667909826, 112228692, 947325788, 869486578, 113852115, 470643569, 572075517, 648992501, 191402291, 468500886, 982756054, 30479334, 117277013, 574098612, 653317999, 252108426, 439935151, 591382453, 1017023519, 316782159, 35277479, 5296680, 531345641, 342593972, 575588539, 872545724, 362106388, 44282021, 94299389, 733770123, 951422240, 926200860, 511206836, 499298185, 706079851, 530389299, 235338585, 565314066, 87422966, 16503633, 514382024, 824207720, 921299926, 100410015, 622216214, 498158565, 801842652, 766148538, 334253165, 717358878, 314266892, 518335444, 349459837, 804623101, 978844825, 678640573, 951026679, 458160177, 488655021, 82839146, 190267441, 384902337, 75383022, 387321076, 479371231, 360577052, 1494705, 842369316, 542747203, 932206601, 551215378, 143625464, 58296812, 421310131, 301920342, 602722862, 68800628, 934055649, 827760526, 295334461, 994409740, 785502998, 759808030, 131067148, 626653267, 950596337, 757381545, 617430067, 370547797, 87520550, 163811175, 742330403, 635078059, 822469138, 950695251, 475189416, 182801103, 892107873, 594599464, 395994956, 913076514, 466473586, 984192770, 192075363, 570000022, 428888961, 489506703, 711840384, 585966304, 465917745, 621582351, 863375098, 364401936, 544914365, 966241878, 218850884, 654704637, 365098196, 66970853, 916512976, 289424431, 1006469331, 136112214, 479189567, 866089778, 1051039878, 622193040, 480999171, 498719205, 1070097825, 271419622, 679882849, 270242006, 486563778, 697106513, 610081243, 575947489, 720347329, 903214649, 19789747, 436575334, 769027426, 321459324, 986855041, 219441136, 207551476, 690914011, 93601920, 787713097, 767557952, 519385847, 619697741, 853072894, 986444781, 825489905, 776827279, 58722448, 462952309, 824814610, 655994690, 64602782, 38139756, 550862414, 291222169, 13625362, 408523324, 83567697, 707494239, 314657186, 532082996, 3787109, 195153391, 929389652, 309624830, 973758518, 943607114, 679685775, 665669659, 107763463, 258929342, 953328580, 931642925, 848507294, 64768127, 730103283, 283304724, 362095922, 705967131, 898293172, 1055761449, 597652882, 997139481, 531124850, 970548580, 977815065, 765719518, 180731756, 108168466, 318270152, 908007758, 663284422, 203066481, 967369788, 265918597, 854066682, 900844617, 539436939, 970537078, 383714567, 320595073, 889768509, 1060608287, 455436136, 697879237, 583673974, 609271021, 537695393, 475014374, 850083889, 788782972, 1058874883, 482340748, 774125503, 930097069, 627116997, 91257069, 329048976, 160967478, 546184554, 171119346, 230722870, 532677604, 592028261, 32903402, 704604173, 614107310, 944407189, 84245684, 672190576, 439551536, 305577826, 569299233, 884915382, 681680841, 387254719, 1004935837, 88323554, 754510431, 460510900, 564471807, 988775232, 637271222, 977084657, 733037350, 1006959030, 712291957, 555287901, 222696222, 875144462, 373641430, 120409747, 641822783, 437232656, 1010100985, 493661021, 935847355, 248215645, 243762646, 856816824, 572475280, 693005296, 612804220, 343034434, 437426178, 855537725, 519260091, 433368361, 819779014, 143375162, 148563505, 947217814, 282936277, 81648190, 218504314, 885452903, 268996190, 719273371, 841816845, 807513271, 1033254523, 63025367, 385406797, 582905475, 297354447, 20508837, 906515172, 379734991, 237245368, 238295755, 1073157112, 710270485, 509963133, 208520784, 674055161, 105271623, 67793566, 500620584, 672688353, 673998530, 238187233, 142440224, 917287280, 220425020, 868144324, 778242814, 151067752, 878260143, 85669064, 315247879, 46093879, 538035025, 967149114, 442255272, 291828494, 947407944, 909732644, 947624232, 1049739584, 819265731, 867879930, 957860819, 581210141, 367809364, 979876677, 576136157, 831049862, 804692329, 416977116, 493409534, 597527528, 408330736, 1037456276, 112843537, 1010824537, 701220385, 1040467666, 393286079, 657210714, 309706721, 1054692482, 920525456, 701350399, 623545385, 606729165, 473685837, 381152147, 135552335, 51309848, 555428654, 618353529, 298479714, 758235326, 602012356, 397406440, 1071404791, 347566615, 104246293, 352995064, 594175463, 214552265, 524519013, 606928080, 596222747, 752949713, 563337128, 901968743, 963534695, 637202787, 205165047, 646307639, 143663501, 997497443, 1040410534, 827668139, 976298674, 256234293, 41747135, 212933586, 173900403, 31288816, 309474528, 949926606, 859843685, 310442274, 886697864, 195375131, 380367862, 100377687, 541893804, 783808100, 717004146, 334039817, 838358686, 415452725, 748577301, 171908101, 739140746, 989641386, 899169408, 529460431, 933109262, 211889809, 157944330, 99064576, 26856833, 715933246, 343418418, 972654294, 13419753, 649188962, 269252417, 681178621, 612024282, 388204709, 917193867, 454870643, 407645283, 698019406, 582978071, 154060662, 1053514816, 118092057, 493936285, 365807102, 144452551, 113155194, 554790416, 725973862, 465310422, 887322639, 27765978, 831748461, 917281591, 811486124, 484281331, 466856108, 897148662, 99777350, 463462127, 304821022, 606947449, 645812487, 694865853, 839487476, 186620014, 1070736956, 147584413, 170606325, 525600579, 748569344, 637078275, 806793851, 227042815, 911077544, 196006082, 137447696, 932270478, 953212967, 801838833, 180859162, 804036623, 399350279, 27908954, 590797235, 210817235, 1034218180, 529346193, 296529786, 914080619, 1073166484, 874705857, 1042628468, 1039065393, 544204012, 697225468, 87219231, 283277641, 1034232021, 961543379, 47554415, 226674784, 879938031, 336607154, 226480654, 363667612, 152089148, 269029368, 456936578, 508791087, 60122271, 999445577, 781187926, 425791223, 1044784259, 3828204, 80021717, 881469232, 536390486, 444069874, 916969582, 372667471, 328412142, 481244578, 201428926, 281304068, 590187952, 412566781, 63397678, 228767254, 73238533, 924332912, 729521943, 197988623, 809079037, 84379591, 917217325, 149652258, 38688980, 782851137, 394303343, 467112242, 351340339, 204917227, 460451555, 808365796, 428422293, 727269988, 318467158, 18966193, 895291960, 720163310, 541396286, 230157092, 566139473, 424803940, 412277840, 624926111, 172886455, 430396130, 229678232, 1027099451, 664091810, 146011893, 470213985, 845479317, 840570824, 326168227, 57293825, 662261637, 1006474429, 344508938, 623173849, 888084732, 118818159, 739485321, 370927857, 774455526, 62490473, 340198550, 309982126, 748539205, 22833049, 152786252, 229204674, 701534573, 145126694, 583810126, 29594518, 1050353830, 835150359, 763654933, 22223774, 881836925, 975908844, 184716185, 675280412, 532379190, 54985628, 935358107, 237376195, 642413825, 729534551, 958204172, 1072616415, 37012912, 444786782, 49980710, 847989657, 769072842, 867879303, 43708631, 459463638, 143177055, 1071058573, 236989331, 925436248, 111119521, 521365228, 522447987, 966656942, 691641429, 1064583480, 178731350, 302326431, 820819326, 300620603, 34167748, 138346113, 765432488, 962490139, 438101386, 452036104, 965803209, 402062454, 713165316, 639705024, 538025745, 677291096, 501986620, 690604168, 581561666, 170198008, 680432988, 40877698, 189594627, 463210311, 919483681, 553644645, 769902750, 935414227, 617102112, 1043121610, 897688008, 294168358, 499279967, 943546478, 94018834, 677930221, 730379456, 300269947, 858407711, 304605996, 31599844, 138280471, 555867686, 988862920, 73384074, 863220862, 1025895549, 467125560, 279775763, 157352518, 307426700, 474088802, 763835679, 948956567, 514611096, 713564985, 452949138, 5237931, 716353583, 780467494, 906387356, 935510175, 1000741719, 3792485, 678754693, 484307117, 880471901, 1038265487, 896481067, 563165380, 152320172, 17271696, 410986957, 577321206, 1013130739, 707408713, 948433920, 91945020, 285079762, 896915638, 564244370, 89588197, 430401288, 619295506, 525135338, 917995532, 631947628, 248135838, 305481351, 224919721, 262240161, 729039594, 1017994180, 341407753, 881168370, 299057295, 794411543, 447794190, 996478870, 1001322696, 342432419, 368518927, 113568158, 1060632509, 480454753, 116760392, 539591641, 718222326, 532110537, 673247703, 322149390, 237228611, 445649524, 844989082, 466225751, 732536887, 890651979, 578521127, 832287434, 146751647, 339481001, 727814443, 916377811, 236358251, 834827621, 386244154, 559870080, 275649373, 540600187, 889137496, 178149323, 923798823, 722479456, 843161304, 732743435, 337610278, 716853792, 1070682469, 39562058, 420446426, 406169245, 299783280, 217365756, 313863921, 895367584, 302568150, 797710663, 199962862, 938641272, 103915504, 649635103, 382217375, 652299601, 389184170, 838791481, 204240473, 680370292, 257821593, 712233569, 414540521, 854177838, 349216634, 418424614, 271824936, 79297273, 909854972, 950957114, 671092060, 219815332, 527117918, 1019169899, 589103309, 701864424, 470888582, 1068402312, 566965911, 334147197, 617222905, 610314443, 494961315, 775962203, 244332575, 468201377, 851919591, 887179492, 93058540, 693449241, 919523125, 116880951, 828092662, 973415089, 159205907, 61848983, 639396156, 993674834, 978844642, 322392689, 197479701, 172102715, 417592378, 944762484, 846286247, 264965891, 147156804, 613909916, 984014720, 44227810, 845273154, 1048287627, 891624897, 451226925, 1047326673, 1016727798, 873095129, 458211349, 516230388, 382899896, 813419601, 848986294, 383927998, 956676961, 323749016, 645523526, 975711979, 512723717, 201659241, 844878084, 328121118, 735817891, 203954828, 579724549, 566922853, 807893361, 1036709947, 355764236, 214609918, 759328141, 352949973, 887115197, 262895185, 78523068, 275938020, 295557720, 567078994, 870292229, 982716425, 69937998, 570749408, 744558132, 613226751, 128051471, 17042535, 572804547, 862562529, 506431643, 527187754, 986902574, 490145554, 373408101, 260777608, 550904467, 501267287, 1027045529, 150232241, 690607167, 799176219, 695495818, 617177218, 843917917, 22498362, 711575274, 367192357, 830089865, 17166312, 195158832, 101618423, 192622038, 494665137, 39526013, 447799622, 584848729, 284259901, 318598971, 230696147, 1038351442, 89721009, 813661916, 681418518, 483454352, 268040880, 732113149, 933771234, 337551420, 994791455, 25126835, 185564297, 615886336, 901859573, 268365465, 450063149, 694957016, 28430673, 847097190, 646702394, 338670549, 845713687, 1070057217, 812661024, 147615849, 743009279, 882430504, 1003552325, 260271177, 298713766, 109326953, 123014025, 419839201, 6401500, 692897683, 465162913, 3934720, 226967179, 602265430, 219613793, 518723029, 745993282, 65182068, 679886470, 980450990, 1039875704, 251677975, 289739033, 432857037, 632757972, 1059835158, 571759835, 744347028, 471897475, 384316978, 334662685, 291772768, 1002234556, 1004671558, 104846512, 803379946, 65475030, 290266387, 136271324, 833333318, 373958789, 156303239, 435415899, 216862804, 1028620176, 949285667, 722581374, 532460620, 671000249, 185507284, 485828937, 900610686, 314588189, 738208158, 423018663, 801317761, 766630179, 539359894, 69179792, 299373205, 540711222, 430524085, 711189226, 205158990, 146053992, 996892428, 465147688, 435795859, 576048607, 287742452, 59935830, 309115013, 236862682, 878553146, 515622953, 338528730, 935294411, 947528471, 923755379, 614095482, 779502155, 538841044, 445582474, 355439111, 687669635, 1064195354, 951499316, 183510561, 1028504059, 339731547, 214242808, 314768314, 251160044, 122248514, 1059624268, 828450777, 134176163, 827169963, 124111243, 795225150, 526674124, 283743277, 897900603, 135884316, 985092184, 289506410, 137973595, 295272680, 1002714833, 503620669, 80560666, 299074403, 440772606, 279795380, 1068592137, 27918351, 848042692, 677904176, 586846699, 609453357, 1015541079, 737766011, 41152958, 556011884, 1027900530, 680699638, 873930065, 590443365, 374449703, 766161301, 514818517, 931740501, 520765588, 912391888, 414867150, 627434476, 18895865, 727704258, 934188298, 676746138, 527621808, 883309734, 366901639, 574173535, 410333401, 677602558, 540888029, 828664101, 572635074, 680697037, 709738652, 180695827, 752855131, 503353695, 1009439452, 494983424, 383597444, 219369112, 970745956, 30429195, 253747233, 857045594, 635810800, 974898354, 953695627, 895848704, 445631162, 42872624, 331668137, 562662346, 160979387, 84733615, 144353418, 972938020, 185136132, 523122489, 25136772, 893580124, 190228803, 380944719, 181530551, 599735947, 896659056, 577497671, 331778610, 820489540, 435038715, 481690017, 90135007, 778718106, 850943090, 415651922, 870151111, 645937519, 205073312, 508045061, 111604897, 442367812, 61996796, 852905550, 945300150, 461712890, 443153797, 420887885, 856253896, 588856570, 848303412, 592887036, 279730142, 703304530, 728834291, 250080347, 688234275, 75559380, 429114550, 449160673, 885230501, 787638869, 1046759728, 639746894, 297215084, 204540634, 928781945, 231344260, 1024765475, 641240105, 824312181, 259795402, 197605852, 524232267, 460475568, 912605553, 838055011, 121636948, 281739348, 92881387, 60178994, 273990947, 696947302, 681097370, 698922427, 310280202, 531785237, 809982262, 320283928, 293316816, 520422117, 539870556, 154526568, 860170156, 265014209, 740278549, 75773052, 533537370, 970450087, 762024285, 440521670, 411110373, 240476332, 503408859, 548920652, 990625908, 394777089, 625069942, 309619284, 1024215483, 135898381, 8506185, 982646463, 997739720, 537689832, 1068002761, 33280943, 70499245, 397564938, 199972790, 27614505, 57984126, 834812134, 12940732, 578657811, 464858317, 780385235, 571274709, 525390429, 969833232, 538374421, 919125596, 710680539, 630944075, 966234, 371833989, 553830682, 143249928, 1005511846, 948511563, 1069452856, 889743095, 632736442, 144679040, 303484594, 764427103, 725092862, 218665712, 698193748, 514989962, 862474189, 252334900, 530913541, 1032323524, 137913966, 243237074, 979343169, 395806196, 221647015, 51720227, 435916720, 612447344, 865987671, 170567504, 869861960, 271937768, 409932197, 386022085, 833478126, 439934016, 473845469, 494869421, 46513529, 291941534, 17251292, 706390871, 363541851, 278547245, 396942658, 693455929, 738117854, 463385321, 357742492, 324881913, 709401568, 842231041, 854907860, 213035828, 776859878, 300391917, 648966402, 717338409, 506526132, 40491846, 240415716, 686216729, 160594636, 698828645, 183647651, 1028115519, 753756978, 327650675, 184872788, 117226391, 482978901, 212469861, 663007226, 257389518, 526088199, 1041706952, 558501850, 126845921, 142095595, 14489596, 186335029, 192096722, 43422024, 37848609, 314730248, 619615705, 145844177, 122182419, 355363864, 748916365, 438601044, 837635029, 41696473, 562070017, 134653519, 922337999, 920283824, 922214549, 150715289, 98625410, 56070556, 1017377560, 784453159, 858185758, 96681001, 224159026, 659885536, 198265091, 662806522, 817885656, 503079117, 796153437, 231717882, 191007092, 1061981046, 928760974, 611764068, 333223770, 147679914, 720366549, 90183021, 995873927, 834110669, 691447239, 813788599, 829380087, 448385255, 607900281, 437211001, 1024507548, 409388172, 662669505, 406924348, 1018722901, 45967169, 1037487992, 348127658, 52005146, 354295404, 535454839, 345924269, 401228510, 327626532, 668598071, 706603835, 103626645, 149305239, 616054017, 52477996, 976070160, 55047075, 379915643, 474925153, 652222506, 856728506, 438618357, 769109120, 175044176, 817734110, 524592439, 736705511, 810357494, 433759187, 226418468, 688971180, 95029890, 407397543, 353237584, 157921259, 850756387, 804017233, 338031731, 377075288, 565512600, 889045182, 138729355, 255495633, 766852124, 93765042, 969039766, 939573254, 647578936, 363993592, 526526218, 206251982, 428611907, 32820908, 576214182, 748055898, 878105546, 504541462, 106945088, 513771352, 862336883, 1015996926, 18650539, 688796147, 739574333, 815035602, 194742340, 590744164, 580318930, 71646161, 519170748, 674745611, 763616044, 858855108, 921292742, 419753119, 467767570, 956423799, 661760343, 211761818, 607880619, 499997774, 378167896, 24805413, 99089030, 558514747, 197313672, 397929470, 151284911, 902076257, 1017694873, 589572730, 814133418, 663983075, 721198367, 842322196, 753042019, 325918617, 262642179, 559260823, 897266912, 1004421304, 782153568, 124922895, 276382722, 331491204, 700449056, 399250188, 366165811, 1068935465, 219337746, 778311095, 619431059, 293208589, 422995271, 901001034, 503584559, 811714399, 659787360, 192001597, 1002614048, 596237867, 157349155, 434247479, 82343724, 319503725, 412002292, 748017500, 878697345, 768118474, 695977705, 277453314, 918491776, 697479880, 6759089, 222343887, 551973394, 948582038, 458178275, 76476024, 641930671, 655558056, 488228524, 647201724, 486495902, 453531478, 313989096, 121032704, 352868622, 493024296, 372533359, 993330662, 119784656, 738559729, 715871606, 974677890, 418602683, 805715170, 817349218, 343528268, 429793336, 779398062, 607016724, 701557973, 773462381, 424713100, 728255300, 851623084, 814207413, 475091776, 159696531, 335237884, 168882170, 646654239, 402213999, 943051173, 991459595, 425616765, 1071612805, 850417257, 244247449, 74961899, 449607743, 1003513516, 171047862, 796551824, 198187526, 657603599, 163054571, 172141424, 989018538, 513812808, 982767308, 824908376, 576653093, 1020632938, 174912444, 267561400, 42333064, 880841968, 156618489, 1027817629, 820870168, 837910713, 434704431, 625756215, 869555599, 220142797, 403052861, 964031218, 1017272545, 250913437, 595389457, 369450273, 603915646, 635085235, 872958798, 768089843, 951151114, 606837873, 321096387, 984536899, 393436784, 542982597, 833615751, 200157491, 128141968, 348366941, 168510891, 843492903, 758272996, 152208925, 411927413, 109809786, 440785687, 503009604, 297611032, 809507081, 823566030, 174805305, 920602586, 1030590746, 506485100, 673552120, 1023474610, 742928207, 433678526, 444304541, 863895129, 492942761, 278753719, 284513889, 103093107, 251478736, 167676072, 211624812, 534853176, 512952228, 477811056, 1043418990, 262958444, 300381696, 110912931, 433640770, 948741234, 850940130, 862432776, 611726400, 514235247, 750517476, 879397601, 52275350, 553830406, 189096090, 934695978, 715701672, 533244658, 85794244, 560620216, 603362300, 340463211, 509743900, 589414779, 745265699, 763889671, 670462132, 384758960, 395218457, 653185248, 777375286, 12151963, 498457616, 868739685, 47648847, 472929033, 634499255, 788367738, 85568581, 338752405, 691575910, 568793966, 1010966708, 563829456, 65730432, 435480968, 147764290, 590227245, 1037836028, 658722860, 735407873, 269787563, 448642320, 721239191, 892844666, 789019968, 608591556, 881064844, 854084911, 845833914, 912187909, 267934282, 677449168, 509783203, 911633223, 539165379, 1048924208, 425306042, 942486067, 550924618, 9401179, 800766304, 730639578, 894641376, 5877824, 612105334, 241681521, 85199972, 936070966, 899927385, 648852666, 735302159, 405108324, 371636507, 75481625, 551725473, 626693553, 927616480, 163215570, 507611078, 247684122, 960306819, 684362836, 360737881, 898654190, 379285687, 166670351, 984910306, 334291977, 965412234, 477449695, 175782476, 836793975, 1060362865, 246373171, 624815351, 844271682, 392350311, 104845258, 904086792, 708206738, 238825148, 889338369, 622128822, 808569287, 330589572, 87925073, 487199365, 1030716615, 982452193, 876171078, 939178857, 787185815, 25852804, 364143077, 939547144, 1055273352, 305077445, 447038610, 332309038, 846790772, 104333981, 1027223230, 286062668, 719509358, 336862185, 288990449, 274016894, 637173826, 410367977, 60007288, 943092470, 274588712, 782083131, 11818018, 557296240, 693206803, 923647523, 187600310, 312274934, 148557385, 716147636, 241179455, 122263750, 477285468, 199700681, 764637037, 1009136193, 32386902, 615278118, 975823268, 31341097, 274744364, 674419228, 546637395, 586050358, 21902967, 944606530, 960727308, 361702299, 624685961, 404099140, 250154313, 194647184, 386524416, 937690239, 153927362, 864062199, 397122749, 716693663, 150970101, 1044288300, 1058391445, 927353277, 695018758, 923370828, 114944257, 537620365, 914873388, 805996367, 16159403, 106067825, 594400914, 1050871398, 957771932, 1068802847, 701751734, 1013762895, 285039826, 323945566, 291050094, 771024241, 450212159, 63646010, 461097552, 754271515, 168623289, 939939356, 798785645, 495261877, 734828840, 452264975, 772253301, 387897012, 1061030104, 911623180, 508778345, 108078191, 755991877, 665720891, 597259653, 1818325, 121135116, 900072356, 79894627, 908065147, 639999469, 198356602, 637343074, 227995515, 627776689, 570478481, 856643478, 895537792, 245408793, 476098464, 417404649, 351352547, 456383306, 298391857, 915540776, 1066758191, 854543579, 636080331, 1039970964, 897896879, 311998323, 412951742, 923124055, 822228054, 108758028, 375026169, 947781872, 543672311, 86451599, 367314254, 589940822, 819232707, 263935721, 543712193, 10272045, 785380917, 671455532, 1004062367, 843446226, 1047228600, 583170160, 383772325, 565367709, 274527749, 516589496, 650741559, 155575932, 450978559, 887513245, 784588078, 454579104, 728163732, 696046540, 5694178, 534979074, 165821159, 49153957, 820555410, 1044185081, 974318603, 434720281, 659297452, 473966881, 497010997, 762216920, 709460337, 620118008, 319581660, 177864055, 153207113, 913927843, 204364208, 725019766, 889028616, 156370729, 82765739, 162039390, 375981591, 899669339, 931102912, 35618217, 157511809, 812138765, 221878647, 398929388, 512269327, 934540378, 8752155, 662500088, 713925678, 670215854, 1052148056, 567944867, 30379436, 154946084, 907115174, 769098650, 1042307835, 7955218, 226053855, 967251464, 1056944156, 778100707, 155918517, 506966576, 404008193, 415400590, 617388616, 871701600, 1034668583, 643301570, 585324019, 762186254, 213304486, 180609772, 876567553, 973981330, 277477697, 572882694, 464601173, 48654471, 142911300, 1037163716, 181401485, 858199619, 528736173, 550803794, 332443582, 580796071, 746019393, 257274609, 178031471, 331168700, 776104044, 633045379, 71008867, 71779309, 632973784, 920631331, 826686176, 883750002, 880425932, 341924214, 192989406, 763553744, 954955037, 6628851, 275520301, 770203591, 721274296, 867727571, 4276617, 441400604, 675874486, 474360790, 216623620, 375224063, 80185420, 142410447, 707939760, 898014269, 654881098, 268521745, 335548250, 76362988, 19661108, 1028584756, 1009436843, 418634844, 665960090, 971332423, 23724647, 683719887, 679372454, 839615067, 598752687, 532990069, 377864021, 802994895, 91438068, 580588222, 896181378, 227837939, 515364789, 957246090, 776840958, 98567651, 897217718, 247642496, 28705991, 607972319, 747424743, 844296975, 868344663, 1023860508, 178795654, 185305439, 1017048959, 307258798, 499040387, 348923128, 503556299, 963239785, 176639982, 925967118, 375300074, 287912568, 417710362, 1056909786, 138187602, 638905653, 936386890, 218672016, 86107816, 351805266, 1048439114, 1030197173, 233776170, 577255792, 759695123, 895142171, 902945873, 789705683, 952548425, 989811904, 43852995, 409601898, 308327910, 342211437, 857706886, 293006181, 1065411758, 958996222, 255835773, 739272523, 782478177, 704908665, 427257771, 744001428, 336422860, 1051775249, 89373201, 26742604, 368834868, 295906013, 822314840, 348085752, 645501280, 647316768, 840959580, 479464115, 968842585, 90758825, 300986878, 554521706, 531849501, 227715688, 258853537, 668173759, 973978547, 374686754, 391219457, 148022505, 5727425, 962169131, 993076610, 418491456, 724363841, 25402237, 616552674, 958735434, 293594413, 87279650, 9414236, 109194672, 627358708, 218277924, 680339750, 287542025, 815273204, 659557979, 34388889, 984937694, 483364905, 403808905, 728909568, 733548217, 556512409, 113944394, 553847113, 675516812, 288769864, 457808066, 799049794, 157874806, 953965009, 268793244, 866241399, 642403786, 619646280, 591510504, 1070010839, 703909780, 480247321, 276825840, 309361950, 299799876, 899690876, 221168270, 924310418, 926307598, 355716389, 339877676, 515922657, 328079615, 274337370, 212005454, 428053948, 492899336, 853331674, 407704871, 840662858, 1057673445, 620004475, 68938595, 643856490, 723199987, 216101605, 563004376, 844484657, 900489115, 267417312, 995775808, 109434955, 953513999, 381073444, 91150679, 627419329, 935173767, 973499134, 298477391, 6604562, 598273261, 699146489, 826429563, 902970520, 1005279358, 588166313, 69661525, 424700705, 650929675, 82232482, 606616159, 922683965, 1050076118, 270443787, 762528331, 995566826, 181436737, 4477217, 544870264, 1049207175, 31433745, 912983791, 118069767, 220461908, 589366865, 226221293, 397227061, 1004318216, 25926987, 642013552, 308490869, 616261257, 270426007, 319311612, 26223915, 985082237, 75672257, 118050640, 1010179329, 642422534, 183520873, 12828262, 106707030, 492119360, 651057250, 476101404, 934614442, 315878372, 326975899, 126484811, 73443889, 274869004, 402884885, 307302733, 1025492297, 734800756, 292081843, 562175741, 275615172, 220365780, 400894862, 59058613, 387527344, 189263862, 551642399, 812385737, 669873681, 291713854, 287166871, 73173685, 42050401, 777500061, 376404955, 705104257, 722819725, 922511369, 736398672, 345568153, 626787134, 1000424042, 811928233, 443424454, 378845531, 1037866351, 765337432, 7080183, 207699054, 286171325, 578924817, 1072133044, 100068607, 929251145, 753874188, 350745681, 859713096, 553423724, 765083498, 332402638, 885550665, 210921968, 974995777, 75815430, 452603952, 791965373, 328077791, 498401531, 628062749, 791036298, 856399876, 198785459, 132710094, 308703677, 769436990, 82459011, 148523460, 815341703, 883164632, 799650941, 983797588, 159608414, 507696037, 635646740, 8797351, 82095898, 577212408, 487428803, 519708606, 555400209, 648856791, 463147932, 124710235, 541474798, 367330736, 635609045, 1551156, 441264749, 1000626027, 634152655, 970503829, 405828122, 130550188, 453469141, 102211953, 989137089, 92520530, 168071522, 617854604, 953107465, 532714704, 529599542, 597627062, 338859778, 320023335, 5094104, 431139789, 751443114, 558985079, 929530288, 39567570, 40012040, 315674273, 297281148, 136711582, 262995000, 128648558, 492199365, 802699933, 433678068, 720070104, 460739611, 980404640, 492876558, 27723070, 703412701, 983307472, 1059620157, 517284591, 241780582, 710972251, 1614724, 795088647, 869157840, 561891244, 433015011, 749443625, 484826610, 1022530740, 890931010, 484748159, 587668327, 200130788, 60490052, 194046420, 296449485, 709175534, 878072345, 216152264, 180157256, 934026032, 949693861, 957603709, 771415561, 416802708, 266139798, 831839076, 621275976, 415085844, 891534371, 124180386, 877567693, 635068146, 545692274, 18320043, 806418789, 1017022350, 860819664, 798155302, 184275769, 887344100, 735614391, 137902851, 165375659, 829767521, 792361311, 799839347, 584963104, 102236355, 223527179, 234030404, 819704967, 389110213, 792259366, 312325725, 86615782, 732960203, 266778112, 123098188, 1020134551, 151275184, 702259714, 499360964, 575754491, 484873628, 175637181, 469826833, 438464159, 991469655, 144041430, 948820105, 888595580, 779504629, 578484564, 186314013, 324689062, 766972967, 561112912, 292197764, 550292220, 731287133, 618668996, 1043298465, 7174137, 93307183, 111480379, 53820927, 221620742, 898708626, 1001145602, 316448280, 996638782, 594902796, 319749952, 139041224, 1006760586, 643721320, 476414213, 818592698, 521686198, 33319265, 445436078, 520781701, 174084366, 898667447, 633274367, 833913937, 839672568, 593668780, 766426728, 309785074, 551034724, 662525711, 625381782, 489894337, 479937185, 1071629905, 486154402, 1053467404, 678513905, 30342609, 322020313, 751705468, 737789537, 352622357, 16169234, 553386362, 108633268, 343244144, 833044007, 180443911, 279744322, 746314697, 273368242, 304006721, 107652443, 563018695, 121238585, 655601292, 373884841, 929066074, 850082035, 744694507, 834635464, 818757188, 743581236, 377728020, 462590291, 300196282, 123104639, 911199435, 418452510, 28658669, 346405209, 870706533, 477490009, 218348088, 361145984, 596562402, 1072826029, 1015629121, 914253458, 439804250, 622173938, 486069834, 266059619, 897863740, 68280414, 316917231, 181690578, 567010741, 1040424132, 720485196, 964395669, 165667148, 330669242, 909093415, 303316551, 475479362, 340723638, 196758781, 118177161, 76600045, 975397937, 255350331, 530786776, 784684754, 66944952, 541437076, 112174534, 55743893, 566741209, 244424583, 725585853, 358907554, 73641621, 880755462, 488631277, 138486170, 764512209, 478330775, 1035495047, 333091096, 446649638, 71547678, 679882871, 952787045, 731097275, 490140699, 988789664, 666195140, 122689473, 709365076, 58555981, 54559076, 460605205, 142615656, 670042496, 448126860, 950230168, 156200182, 108851231, 362589584, 989208018, 152707409, 1004091034, 549952833, 650086927, 471322114, 705057032, 673459278, 473468779, 797888069, 335649241, 1064824978, 775438780, 181204037, 668562053, 539687435, 931469523, 200657755, 832387998, 1035415707, 718735790, 676650568, 360146166, 131687083, 218761780, 667863931, 347077984, 314393384, 399047385, 718063213, 721458745, 880872835, 197357872, 54426360, 942863812, 1025766293, 274702946, 336783522, 772991573, 669556551, 437575797, 789251713, 14249313, 107708118, 556658589, 308979419, 318843396, 219130083, 86154044, 568746309, 309674046, 1062754197, 790759015, 483706306, 318180947, 534870972, 133462586, 22486926, 742499447, 505219581, 40386804, 702583857, 1049843255, 504567715, 701734079, 801080052, 357223822, 341564680, 111510769, 678847977, 226936748, 910771725, 643107916, 688620349, 200536209, 827813800, 37723913, 1044631010, 672465064, 899386929, 839199953, 340310596, 157468565, 333026358, 536633179, 818526495, 453891314, 161064189, 467874652, 377823420, 566857006, 442115288, 474995551, 662539479, 757517484, 185628131, 194480608, 962946434, 760414816, 359549565, 780288197, 836441535, 1020233574, 681813998, 150649885, 79056289, 126183699, 593077921, 443228130, 635757127, 409845332, 204756096, 90899939, 127338521, 554417014, 905482200, 888615886, 794039151, 4580278, 628483829, 675745034, 821757898, 875864311, 150695259, 981545007, 492392307, 880390219, 210528352, 581035134, 621493790, 880382523, 397554699, 589173727, 860830977, 419995665, 36134019, 657578152, 105345124, 961653540, 11516643, 457460889, 342874123, 813592052, 213329859, 251654321, 947378709, 162611003, 976444305, 262620438, 1068108527, 278339523, 621596121, 737864829, 21015823, 698007392, 936427633, 450280198, 217284386, 313507999, 650129227, 290960755, 236762079, 8203233, 573495966, 443078022, 706528509, 975837696, 112499283, 59005104, 261044144, 219285539, 932071734, 757030865, 108238933, 1059547060, 156525270, 753973435, 73787192, 384881055, 64265064, 223025386, 1003654927, 933001661, 954051488, 46942523, 539991842, 147441141, 109637481, 2522442, 718363895, 888678874, 586662486, 1048320160, 297546132, 77454342, 797266502, 447699369, 602225482, 678516146, 955762264, 384267528, 433406246, 915725219, 582100625, 162601176, 313539922, 725665198, 506462382, 632331626, 404186079, 472556498, 433271807, 356299118, 98906304, 857493806, 107205745, 272537928, 650938713, 229989876, 324245347, 548488644, 653342454, 497643813, 965456754, 1043915068, 746968011, 27569544, 943343765, 918397156, 796247176, 89603012, 118964620, 714475225, 902967880, 675973547, 839948912, 419716121, 120540317, 31701794, 928015898, 615202292, 367385143, 711546062, 639030622, 154302290, 508047497, 467162891, 478487053, 605633081, 17064967, 1026237108, 189187302, 91505973, 388347582, 783664431, 174082519, 357421533, 708876643, 708984681, 71387389, 326490200, 397898883, 135839794, 951001386, 350313362, 15785951, 657948207, 473813632, 907621764, 567646790, 561413570, 569958421, 212522779, 982372709, 344623094, 985533424, 826412311, 1024262966, 885276907, 437795049, 1013964547, 698673689, 710773989, 677426826, 695837468, 132036719, 446545802, 970464359, 328187056, 913279952, 811081106, 399841367, 621132665, 942880381, 577339347, 718276701, 1053484883, 530560349, 315588685, 537143946, 755793257, 526225191, 583948741, 291509778, 619728697, 407609516, 105892418, 140205562, 188164689, 182059592, 326270413, 403458591, 143355395, 315147024, 407747002, 349682681, 952127325, 692939120, 781877554, 51565752, 576867266, 157077046, 165690440, 39671540, 866940927, 911689812, 370701744, 406437911, 1031934783, 926479258, 677595970, 481957822, 329548328, 57073417, 795910805, 679664136, 484974530, 281763294, 181305247, 334820223, 804346267, 705911175, 396125703, 640130696, 199362389, 947555400, 883160205, 188517730, 225989278, 321482360, 735492164, 102760247, 113821994, 30304714, 1331516, 155287899, 1054103836, 225564069, 858123671, 824244917, 225516401, 820017331, 204275740, 847527937, 203704632, 782807695, 161203791, 851144958, 223776331, 688565659, 187452405, 21829517, 709311421, 580801242, 652910702, 115463763, 171570589, 274066020, 711100694, 738352430, 309771876, 855272941, 952437278, 173183879, 610660123, 877601980, 597343746, 1055435099, 57390000, 1039421189, 730079952, 210942983, 373556666, 213524731, 715517392, 370818146, 420875821, 347231565, 511101294, 1015574075, 1000367460, 685481227, 491055504, 700406438, 363901302, 964125123, 747000739, 987161421, 780081545, 971827897, 158786331, 854786398, 1040049814, 492554776, 407264287, 751760906, 678523143, 671988237, 485886756, 113376623, 572311437, 14082926, 369535860, 438150147, 299266096, 75751327, 370966827, 247763345, 495867046, 925523120, 925530956, 518276869, 972399206, 673104956, 1056293334, 845475206, 152227237, 611167480, 701921324, 524404778, 1030881578, 208401886, 379501399, 601800119, 1040059878, 198594076, 1037453263, 717577008, 666256920, 807472849, 449367284, 219677347, 6197357, 148272800, 324752343, 524863881, 717480827, 614595865, 556460059, 780667553, 486941496, 545423739, 1038107668, 1012335265, 68556360, 187833836, 75988626, 849616654, 557003048, 370646811, 746706827, 721411071, 390795075, 88943437, 624378835, 451869533, 14658107, 90894669, 197400996, 953240467, 152725105, 458569286, 640870356, 530550226, 349106955, 36633915, 281922344, 885955419, 177027058, 949652890, 1063183654, 499810888, 885736565, 329743770, 509246316, 696801716, 326104280, 59149812, 104415046, 364965165, 679077908, 1026484043, 91887073, 606471807, 424095534, 669846487, 874459321, 29043577, 791707425, 946070412, 121455905, 816632781, 380839822, 692867864, 413376674, 703479787, 660067384, 335070916, 488260454, 813845579, 740024967, 313473846, 555162919, 394956684, 469848256, 385757914, 158226786, 457924667, 312925244, 839042460, 646731852, 1004655455, 60089036, 93748183, 442349038, 642380595, 347865826, 924379574, 113476738, 527348639, 833087347, 958783341, 684262466, 729892917, 860739067, 860383705, 289147087, 917955790, 829186605, 886692738, 924353050, 757544149, 516909692, 653594233, 653511120, 511038648, 841111862, 177146785, 832734172, 477482925, 353546903, 465503674, 179957392, 692379777, 835160474, 676725889, 389725625, 659050629, 997343502, 363742482, 921868478, 646963952, 112481947, 758556717, 734674364, 303055950, 727621289, 1047580005, 127099579, 961310070, 274661391, 895826059, 895598659, 729126796, 391313167, 615530893, 331697406, 921600052, 24110703, 308984942, 797389369, 476771469, 516991753, 536859894, 931671980, 479804946, 774108497, 725692804, 148435496, 567623480, 587825187, 328367362, 929400106, 519448407, 210214375, 568847206, 326576360, 784394901, 877943449, 574509949, 547957861, 992004233, 792263973, 469058469, 633697439, 1003718916, 796482912, 605796230, 740806406, 1054693159, 633607176, 391817453, 925819502, 692134078, 774765635, 386967286, 1063558410, 190763889, 853994751, 24968717, 372350405, 435289031, 235564137, 991220493, 881681022, 18195294, 403741666, 121337394, 933185572, 557055468, 628528302, 657410290, 267687728, 685629621, 276790922, 358523978, 962792451, 1067945730, 565034593, 761605103, 1035317859, 884283216, 57385210, 710915737, 799875095, 315218919, 504992219, 173959197, 622391670, 479216927, 602628432, 168689162, 715820088, 184429784, 55563091, 727281928, 587471734, 20000954, 248863118, 159606537, 261331208, 740548700, 747192076, 685452623, 509376325, 407030725, 750181970, 399110187, 488581797, 97670977, 741909333, 256517619, 941371141, 529886903, 376345270, 981191425, 692360654, 92560642, 1015383858, 752448671, 905505482, 611121041, 100702562, 513908594, 658053865, 340993327, 60389156, 254808015, 563509544, 278886496, 574938381, 775974340, 211802695, 948371223, 831870512, 699007145, 14677630, 205297974, 180597423, 1002592480, 963448807, 1048447524, 106952751, 438309567, 779115551, 60868018, 951247666, 886328329, 792137804, 983535336, 890841523, 619840418, 879809070, 21866092, 930060476, 82373193, 419016244, 698043739, 406991563, 874792249, 763091386, 770516, 356569694, 733383282, 912812617, 171414108, 263915861, 680553413, 277316157, 326173048, 921018614, 784506850, 505367802, 1014860091, 316335966, 611751443, 934122941, 335133083, 556282092, 107600943, 765402581, 653582582, 344101015, 856253949, 1068502888, 69181270, 722227685, 927877040, 655642137, 304712050, 889374813, 202123588, 151502916, 529047128, 928580904, 97558613, 948350161, 914783147, 922417321, 655328746, 802512753, 302654973, 503584255, 380335887, 558996537, 159107816, 37705320, 129294788, 786237959, 440704116, 161701824, 148920877, 330827914, 917712863, 914210725, 471760265, 781810756, 310102408, 535243332, 925386831, 898382854, 426424886, 379671081, 421586400, 634200546, 393507714, 350239776, 665914732, 397545111, 435146859, 205652463, 200779283, 745564998, 111322245, 1053008016, 409045814, 575708182, 848517546, 341865044, 770877541, 343530849, 103588438, 502215139, 976064915, 107258045, 23913854, 580410055, 390972135, 613877391, 1008085513, 513553512, 48319659, 406809778, 372046880, 859707284, 651879079, 688748746, 449157508, 518113979, 642628849, 601169356, 687083746, 883146237, 122147767, 864864370, 440842388, 1043557550, 560543153, 926413026, 66227746, 20631429, 763781130, 1043973502, 440053383, 512376882, 534703628, 11671521, 957746749, 563586489, 605414441, 927243613, 200035755, 432924062, 385005677, 135601203, 631440818, 160700099, 319067958, 307224363, 382518787, 392951292, 294525668, 698484728, 357057737, 903689978, 63767175, 305290250, 109978885, 450664357, 63316626, 135778323, 986719502, 809536488, 599352933, 802564078, 546179323, 621878426, 320075053, 444473385, 926115265, 660963488, 457509535, 415867074, 265805535, 79322544, 515616311, 277171607, 842423375, 974558558, 388248339, 1072887788, 518391531, 292516587, 281649548, 195082816, 964280629, 78177160, 444149357, 928570302, 86511647, 186541561, 654249182, 834961652, 996391947, 166873571, 406544926, 438850174, 898220235, 664081246, 444211277, 834699643, 502595656, 190850026, 686830923, 488848268, 796408861, 156309080, 391941403, 674162730, 749208435, 51234984, 975465112, 519712822, 546947445, 36329624, 209038731, 58608515, 391364362, 174521599, 151759556, 372996702, 375516152, 695012655, 874802123, 274599056, 368149277, 448658830, 815087931, 650413868, 662589084, 989138755, 111034415, 423661122, 517011419, 587476327, 181013659, 118044397, 49401812, 883608059, 127822013, 180779370, 108172180, 21205446, 213147731, 96712279, 843727591, 822136909, 782323941, 430248306, 523719726, 223008104, 3919963, 434151592, 396641231, 987164041, 1050950001, 138742004, 332876087, 284808343, 1037279097, 576878435, 1946805, 516517009, 849754026, 400937359, 188355394, 291952499, 312603983, 522868976, 165058218, 968793396, 589395196, 900432153, 668604970, 984521505, 726136495, 427513100, 851821691, 1058878281, 1059062341, 718281370, 216248568, 719362721, 920953031, 906823824, 318007407, 529298366, 1032270485, 88653689, 752453521, 188559937, 519094866, 883409264, 812611472, 723059853, 736569316, 588627349, 254680205, 410222131, 708175484, 600695701, 846160846, 755497687, 541543046, 398555141, 564242111, 134710000, 27146602, 1060966530, 778193216, 902450995, 563082130, 893210056, 111438577, 893010169, 678976635, 292719523, 882450736, 503237841, 935684889, 1041848818, 453913073, 837296066, 778751332, 408350220, 879756834, 764770611, 226271961, 210700339, 204928510, 192795991, 768052299, 450027927, 1043093782, 764795019, 216756346, 154262798, 552284980, 409055215, 528931053, 314934919, 65701622, 464011358, 964185540, 660319595, 810286911, 799754303, 1013049422, 649009258, 419234622, 875020357, 543546809, 207946127, 197175807, 521861647, 226957153, 519806200, 629810662, 649123059, 618529764, 656704854, 244103073, 1072623863, 682352149, 438204696, 338118624, 828417573, 212173167, 242668746, 28256626, 739594907, 653400195, 542852150, 202767112, 892616778, 418307174, 40518896, 326407913, 810625015, 136461756, 79296746, 252413620, 293899899, 950255045, 598528773, 829859692, 538811744, 45596509, 71183307, 119701282, 632928684, 270027894, 282393911, 163514402, 791217686, 371983607, 76741656, 645136847, 42506601, 753791299, 689978241, 361633841, 828823476, 266289583, 536157506, 100755856, 469585772, 12694387, 434158047, 765687769, 468943663, 838795857, 84322790, 249185067, 460676727, 265712174, 720816725, 865431449, 712561945, 187655146, 865615952, 749467012, 140241608, 4895124, 292202983, 622807632, 995719140, 526350117, 215952922, 402628044, 757416664, 806474079, 859080483, 671674559, 185551409, 153258578, 952032190, 9699372, 657599765, 607811831, 1961072, 560476614, 272659772, 525143367, 422174702, 396672172, 740408670, 624345427, 897580557, 29923389, 356829640, 538411563, 874801983, 699825662, 1039709842, 785589814, 712886897, 41730497, 923392564, 548507636, 724120934, 473822396, 1005974137, 361408070, 819263710, 491511636, 834953648, 595108475, 210643527, 55938143, 685638761, 309244782, 584456082, 8738650, 955933336, 129944816, 246736282, 683718223, 66808515, 848947060, 254849064, 829695278, 355287627, 951045721, 571335002, 539414610, 637217282, 730614447, 690584073, 893263141, 776715460, 712639947, 891985085, 491039157, 801654574, 513781818, 466922684, 528349329, 713233957, 981490269, 159586281, 703768496, 1054599333, 1034093267, 809331992, 126240931, 692363279, 590542438, 609781911, 255443057, 670530805, 417192348, 884310309, 910256368, 251368256, 384589688, 317117972, 705673149, 209439335, 426780179, 960351034, 767567826, 805451197, 609468075, 1036217049, 423706882, 730851745, 548911169, 270824435, 676570330, 868507532, 196229721, 400026682, 251137961, 548793660, 1057214806, 4682884, 777303417, 660360053, 932405065, 575870340, 196504715, 66177057, 851601205, 355499250, 1068630671, 999598388, 1063558315, 787878432, 632258832, 23144223, 707494171, 773038590, 461572822, 1063637429, 709600810, 513160085, 350555761, 857821171, 918971407, 667655161, 845757059, 923848041, 92999424, 606297474, 189583216, 1007411053, 250927986, 262682127, 135170037, 1061113823, 985031789, 19836649, 916976846, 727397499, 413682591, 919407212, 794909962, 719509708, 701261406, 589039288, 925732596, 709447550, 371623601, 626105933, 127165682, 180334271, 931155648, 94167106, 974475589, 61759174, 668844417, 383419351, 470620602, 794254783, 85141659, 1041059602, 990897219, 449970413, 877612557, 1059646712, 1029359050, 834689580, 109463742, 26376903, 1058611682, 484226661, 303864277, 931291727, 518668375, 711684532, 902788953, 440781580, 194604283, 351536465, 1022243385, 350770987, 63900591, 548276819, 612466886, 1003457465, 839259978, 387150959, 1014429871, 549978645, 822449877, 82018330, 757994324, 770323961, 852241962, 131563708, 634318543, 576070818, 71691737, 369124747, 690861107, 837754267, 841676051, 252236726, 23969769, 571159444, 882570136, 687183985, 867626918, 1064750604, 195362821, 1011172905, 322592847, 460294123, 724498373, 23142909, 287738837, 118820377, 183166947, 992863005, 668079686, 238012747, 201694278, 529167174, 64505849, 696878986, 142401499, 214247820, 824405623, 153348859, 493725415, 647391954, 920608794, 808350535, 497675553, 159911566, 254564238, 737104060, 599789980, 1054351029, 940304932, 82997253, 233447701, 155524304, 557747822, 660400387, 666527609, 882211233, 824384704, 968678585, 513877898, 694918583, 332748726, 474951199, 404875799, 963028914, 275910787, 1066663, 8110585, 294494636, 283744640, 454526750, 1036713955, 401318768, 59319851, 805526438, 624840165, 346183993, 508401924, 277595530, 987382342, 943861832, 1018501368, 799662072, 730014097, 30706020, 814043662, 867504127, 1001001099, 290583956, 679455293, 568501856, 724506329, 955905353, 284697365, 303503533, 387800632, 51999019, 784851591, 924650955, 253878955, 120450441, 901602877, 62204490, 619606543, 547663946, 48336008, 382286203, 747130311, 26320547, 275101474, 505930311, 310781628, 837096724, 160418768, 915548749, 874749144, 432102856, 639395669, 19154741, 704556617, 379341089, 894651206, 1006997065, 577996112, 389232631, 736591252, 273752578, 615387562, 317888048, 981238607, 241788539, 59549607, 272716723, 241792284, 917989568, 199715991, 955801703, 654776442, 471258659, 8989768, 342018469, 91493370, 1029778279, 573743475, 540661291, 918930460, 1072609992, 757051784, 920737658, 610497980, 11514850, 631941008, 385994359, 69354573, 737526938, 1005598150, 248040334, 991181926, 258012438, 1022337620, 507779472, 180879419, 465670862, 551994142, 1039333797, 737618057, 1049129665, 627575002, 155906810, 233329480, 42187432, 410701879, 547681731, 1040467132, 777854773, 911823573, 17015984, 641668736, 478235103, 349939991, 615823881, 473894961, 12226696, 454862101, 142015280, 113679649, 186888285, 891543449, 474028949, 426662589, 113695078, 885690530, 577777905, 159921432, 251918214, 975334012, 557577694, 368588890, 140081564, 742613872, 502669504, 788249465, 1013802595, 317861405, 536784547, 801233617, 489396363, 380316311, 1003770544, 640653282, 794017816, 931238516, 126871750, 447918071, 953076739, 775224410, 742400973, 794638840, 317026551, 957104150, 917451670, 795708709, 485376726, 131779810, 351230230, 435141241, 856759980, 840735625, 591815201, 942710746, 591922003, 822395172, 66737636, 598501721, 552889430, 37805051, 565324351, 418955387, 970864040, 641182950, 907863185, 345838688, 127478406, 692439119, 324073148, 878216056, 359171154, 497871540, 43801333, 1048829808, 491240665, 333452216, 424528771, 752627291, 676176647, 621480565, 983502138, 179758321, 432370348, 823271917, 77887371, 1038268021, 1011764997, 631255729, 1034453307, 627952231, 649136005, 362633343, 205756642, 37756447, 655873587, 190619042, 939535557, 476450116, 201286122, 1060902742, 515063845, 926521018, 343990364, 747852489, 593487048, 712546595, 582338117, 146403359, 825819908, 733131628, 915642942, 798606546, 770523636, 221554011, 1047130489, 698198625, 288344818, 280761604, 1003920497, 632223442, 171749237, 6468336, 255100272, 644907465, 716324235, 127195209, 467609677, 48150847, 506987703, 591255621, 301135507, 281912493, 15745319, 949788600, 641883880, 648411343, 755652009, 42828115, 906679967, 780185898, 992404968, 443011638, 435954447, 854068273, 621126538, 375563761, 16989253, 568300510, 618087923, 624040081, 320914978, 268790362, 1050745386, 635220831, 630682920, 258616710, 363926280, 114134860, 644894118, 426357518, 459038060, 830643575, 191622975, 417698211, 959654322, 536400329, 322407084, 607345401, 740628934, 875669809, 583300740, 770583410, 294243435, 828015210, 73357796, 794716083, 361094372, 919770833, 917439072, 1008740608, 684539440, 544854888, 506194293, 398997426, 1058950419, 105442866, 872072860, 821466414, 169742264, 792587472, 556130816, 784268209, 1012881321, 629077693, 47444191, 728440877, 599883326, 593417795, 603627439, 9219470, 196592882, 31452254, 462851980, 988302245, 946323632, 34180237, 786888406, 17266568, 12483779, 88684281, 96611581, 728052402, 999766547, 368362697, 171313470, 635334057, 662722479, 376607310, 307457218, 557010160, 369112077, 609306582, 728273465, 132874257, 439795617, 824930391, 579349931, 739432589, 610038903, 832814240, 1051530478, 929521009, 767573545, 794314358, 812395872, 84785408, 1045155443, 615649810, 829320622, 61960792, 182635084, 492838652, 724117529, 1071187900, 906196230, 286199273, 200318235, 416461943, 596759136, 267250577, 194366664, 403256921, 573291966, 933589384, 111144932, 475529247, 1043524060, 909093264, 944888755, 834024531, 183997765, 780836506, 624284454, 538126252, 255813123, 601029250, 97147726, 737288032, 661024897, 38233635, 452088158, 1045848030, 274376657, 153782122, 458321274, 796887645, 510663351, 895845586, 862767592, 975020125, 953062958, 151790429, 106569655, 255680612, 370615353, 1021104219, 678802345, 753896914, 221614593, 703876481, 484356571, 473500530, 910986712, 132201685, 222821653, 562656788, 146822084, 772462942, 826533284, 535176958, 949473278, 299161234, 570345315, 365060340, 917213267, 373575128, 1029733117, 1015000642, 685653918, 182214555, 1059948523, 182206426, 601578209, 647032766, 1007176253, 1014545519, 208488758, 112560492, 202554270, 969921558, 429269207, 261286613, 60834138, 1044216518, 205185955, 48348882, 608541723, 268922098, 1036740041, 59809712, 761013186, 893480817, 672516631, 144247481, 464920782, 913270005, 391781350, 193198563, 275380899, 648467778, 368026542, 486843818, 624993826, 183996395, 726507462, 393119912, 286555550, 1008485181, 1055451687, 1021668393, 902280284, 301218126, 180509612, 215578294, 968480381, 473852761, 818881373, 953923112, 84104522, 424122584, 386513189, 857775033, 316145670, 433478714, 694631844, 1072153445, 634252349, 592300425, 844099483, 963296213, 758568484, 374469373, 1002505958, 3219423, 320380192, 774644360, 901182112, 718432821, 927342976, 298582444, 49180664, 124257168, 1041271413, 225192563, 144848741, 222110503, 1000071070, 918207251, 918352836, 719334562, 97963619, 802275365, 596930146, 123946235, 378876215, 917361418, 841027278, 1034353677, 153903443, 737652097, 542302653, 130093909, 297405159, 770152920, 349730104, 309259475, 832788889, 669417610, 106291887, 994862557, 1056585123, 911198011, 496788114, 756256822, 797566604, 838222022, 293158142, 427293594, 711850212, 558191710, 639126770, 5578314, 339186769, 1023445514, 264819193, 801747899, 927535713, 991775282, 575695734, 712001281, 657160554, 56702945, 452928685, 597188759, 334403221, 335515105, 215434885, 692670884, 20927069, 389308718, 718857783, 278162255, 831931644, 455314737, 512177417, 800927436, 99032819, 241658194, 463444747, 501579093, 263072139, 71741343, 583300436, 747241300, 325913602, 184523829, 218323317, 882588345, 887735980, 984776560, 840114079, 653535744, 523487757, 199282117, 395785802, 863817351, 508395384, 44496932, 578048982, 677552822, 910473523, 723834687, 493126956, 219759150, 893757408, 918870703, 187660977, 998502133, 155740797, 864202335, 967558906, 843699988, 205965024, 377631715, 838550876, 281783985, 659217905, 1046819518, 8235695, 730955981, 569298239, 387254603, 1049243234, 493963788, 283912852, 532003053, 839948069, 209129423, 995224153, 997026681, 125834252, 296559233, 539091373, 791231437, 984209639, 472552282, 415254492, 39422898, 930819900, 804089763, 1059031168, 788002696, 523469523, 1040026569, 676984007, 497142930, 484190706, 798103639, 684504915, 779983925, 764000426, 362873773, 696788247, 244606118, 107823905, 160850520, 659046085, 446818481, 197821291, 466817468, 828263656, 525772290, 811178364, 955908405, 323620294, 136471358, 426654005, 855286171, 261794099, 1027145474, 939254745, 977651327, 54637582, 331598223, 246252258, 1008366197, 1025137846, 738100029, 279540686, 934151454, 441157352, 493573399, 996584011, 596810126, 785170581, 876522613, 439699387, 264543907, 344000800, 232179442, 307447953, 991326047, 55333135, 999119873, 332117609, 891713980, 594488700, 135636513, 614372815, 628968871, 222796504, 659467416, 388585480, 399725387, 909165905, 220507764, 786466275, 95525986, 491510851, 610728316, 555673263, 1067599562, 879771692, 1066081471, 152077409, 41570801, 484344139, 654409340, 355958740, 888221535, 446359569, 414191771, 530493535, 53200523, 131124425, 579690198, 537881481, 178181532, 301029062, 922696532, 929424570, 686328612, 1015990263, 1047603330, 329103202, 399326119, 260637723, 702677663, 418289209, 102465724, 562304994, 931647716, 310644990, 819642247, 20898932, 630451868, 915514083, 342531073, 489923607, 238513965, 102096864, 523545439, 1069242922, 461963949, 171777781, 390076425, 586561590, 459283836, 179858966, 428435352, 959863979, 354000601, 446882807, 985307640, 951919652, 475702402, 526510710, 970383880, 783815712, 522444404, 145513419, 904002799, 336149223, 773642008, 212101291, 533110930, 496436998, 924243451, 631496444, 928487828, 352895010, 953678435, 527969731, 109324048, 411852221, 589795268, 179751073, 726529494, 500704082, 760884285, 338556183, 966860923, 668115923, 129201728, 325506998, 1065589742, 1001145936, 785622965, 627047586, 660387131, 542790799, 137705752, 764554636, 131391544, 26522532, 1042787698, 90236710, 573727571, 975962651, 489227230, 894438324, 940885934, 974720942, 603753753, 140991454, 259039464, 779202864, 879950578, 668940954, 914928176, 985455072, 864495330, 720075473, 223558678, 40696934, 620847963, 341923926, 826535737, 709845479, 262230626, 359825857, 574661993, 672414875, 111546199, 389077717, 796002707, 756640811, 856940818, 8913267, 29090686, 211566137, 506083128, 333063029, 1037815301, 417389309, 1004210801, 81484539, 13052353, 914444239, 436258790, 550291444, 1067559383, 209279735, 427633260, 746287723, 14685412, 620082597, 567472077, 313429498, 531493680, 26670929, 446235828, 1037971564, 1031337545, 639308886, 831683515, 906572862, 434871909, 555444049, 143163785, 762767245, 237531529, 323581780, 667944331, 1057044167, 106503351, 954536772, 922481261, 426159970, 990449076, 193700804, 363423100, 932200512, 481633200, 626920311, 590125327, 794907874, 764497608, 89903353, 207099133, 1025310621, 46044981, 873467504, 808193803, 949005453, 736719504, 216338930, 976429861, 858530901, 589127520, 399641069, 577696295, 527081010, 96336212, 500976736, 260234494, 497605012, 347565259, 749704361, 766876187, 186918332, 538250352, 589348159, 857339630, 464184467, 1014965367, 73623204, 482430135, 500363549, 11953058, 382044926, 292360668, 236298219, 439488591, 799047269, 603080536, 392256798, 81755745, 623701467, 233989470, 1040641668, 823381855, 328408338, 868682235, 941230415, 415048123, 552120451, 872540512, 7113491, 3504199, 619106390, 606718122, 179947786, 193219909, 847371962, 176222783, 725674273, 919417446, 155782109, 71793433, 295410357, 379946620, 136281753, 528467419, 826624945, 183096935, 828557552, 552938169, 140133634, 654445575, 965118296, 720486432, 991078459, 928625072, 636841127, 380323891, 28153059, 631613480, 815059464, 540315688, 691588955, 688781688, 986226817, 463847131, 19534720, 973369621, 863887604, 1069493232, 940323548, 188866365, 1065805565, 477068683, 890027021, 255543575, 349723332, 204437560, 54629711, 1068606022, 931602217, 544522661, 193235148, 852312693, 191096765, 50375988, 149796184, 1048037989, 945039688, 825913662, 531100534, 703523221, 733779428, 502081934, 950835397, 312247122, 346856183, 765907267, 675165998, 704470610, 323765223, 816565792, 229410723, 949011062, 429130445, 212265430, 690215102, 163289109, 1038712856, 436694828, 209215379, 102717045, 1022920959, 918206192, 457846545, 705926558, 450615939, 818059971, 1031634033, 125237487, 1041159880, 61867716, 791538760, 684764016, 277678275, 90182311, 33808081, 1057333536, 688489036, 376424332, 319320320, 132414698, 236621494, 44558967, 665891700, 324011277, 389686778, 219362136, 298982479, 977662518, 722855686, 1028413425, 122100408, 479944135, 535121334, 281723018, 88942786, 370946289, 639997505, 399308835, 347062558, 90961342, 322843898, 550980993, 733383759, 289964076, 772159232, 460910749, 458882250, 279983023, 284928718, 224259781, 142185079, 276262880, 967616425, 468982625, 368009185, 315178420, 879890520, 102873266, 90825469, 907858857, 122013907, 191194511, 1006602146, 383526788, 365571655, 483493460, 563006997, 13956334, 824587762, 407066207, 231249077, 313920972, 780959662, 311966162, 243098682, 262758286, 516827991, 338909626, 764518206, 531208844, 149266275, 885531422, 198069860, 379817427, 180211390, 927936393, 260817153, 309859523, 226591351, 1053694304, 783672502, 281300924, 491665460, 558465655, 720863344, 315871463, 290880767, 202639480, 57697309, 668190526, 1055562690, 915251710, 1034776756, 42816533, 257561130, 969944469, 587443339, 17892796, 1059163300, 209710426, 888788788, 981666450, 1063604182, 580854551, 576071896, 695648668, 339040165, 757374274, 17162817, 373424072, 680147520, 539583644, 182523201, 815319546, 1062374715, 532370062, 941678572, 397476803, 724471785, 833356566, 845498533, 206964410, 713902110, 574002058, 442769991, 330826088, 1027646531, 529627279, 363189638, 538777292, 586651494, 1060007005, 258908317, 1031409680, 389767008, 978984024, 783593981, 483589479, 156173442, 683699943, 73995318, 994514701, 396058096, 601677822, 112066974, 23826598, 79784864, 72913304, 185678175, 639446906, 792326206, 256399520, 444916376, 267653878, 18385187, 367932578, 986484901, 865645919, 238484183, 189760290, 477684982, 593598448, 157285253, 49262305, 947317407, 606748130, 87112638, 663958885, 508659201, 902527366, 583050193, 836741075, 723265761, 896991133, 730902915, 886914477, 1041255120, 655594527, 206800189, 259518739, 976212660, 305219305, 301336396, 4631858, 814494781, 1066980810, 78187004, 844836322, 250017951, 453514284, 735682066, 603989219, 49426162, 123803231, 937913867, 630447125, 107932993, 81981701, 241404483, 1057569463, 143658070, 803642454, 425740121, 1055825361, 870914921, 352943791, 661455283, 443189339, 798670286, 976677843, 144316849, 142887760, 407846303, 432560797, 848250736, 531917762, 612628288, 567249858, 376537614, 429441810, 444911666, 410654200, 59053455, 50895890, 579051547, 701755388, 638213849, 49643852, 366672032, 839177400, 771141660, 578517413, 920012430, 849951036, 383384314, 518201060, 614714137, 638454381, 706540945, 152732553, 389626617, 259662501, 709482408, 734872737, 176637307, 239916008, 758841646, 86191189, 841595791, 107325577, 178122755, 1056487905, 457749447, 569752995, 263576216, 779327457, 934269552, 931735377, 919154321, 246500262, 890725035, 230111213, 520606832, 1058377143, 968645879, 843060269, 206102914, 89659521, 170682290, 790163169, 653217069, 1035774697, 196242469, 188466484, 943333089, 748385546, 276759192, 854885921, 128650368, 74168066, 968801585, 866609861, 400533031, 1051038778, 481064290, 266786015, 984591326, 46976455, 503825872, 868652806, 159894255, 689584914, 306591501, 984380620, 192572603, 88357928, 1057878224, 784742228, 361673092, 687115199, 858443874, 680951037, 881984582, 701411523, 865082876, 232481010, 151404943, 74389902, 961707181, 1045619600, 378396250, 865948685, 438896000, 600587452, 358226784, 99870440, 860045658, 364583894, 769625230, 138539353, 673628696, 797887057, 740362529, 591169369, 506552929, 205139668, 568377375, 146539806, 629486943, 192796705, 806713610, 790120922, 317613444, 38973399, 1072227551, 775235559, 964277007, 184596025, 74273112, 638796172, 137281117, 250197420, 600559653, 405608051, 737387874, 526693660, 220423870, 1000076564, 1034812211, 1062281465, 437465650, 724058832, 757895289, 6770616, 799726457, 728752259, 216762367, 863569785, 829452038, 1032505843, 550467815, 1001405365, 340877256, 964279687, 262845838, 776054827, 60729617, 566093544, 39034733, 640934561, 763340553, 477976129, 848651675, 319046449, 631666245, 1038492802, 724896617, 291947032, 720507419, 575698897, 532615280, 702436657, 1059242523, 108650343, 258887911, 694750374, 911924381, 675286056, 41513542, 334971239, 10258686, 364562828, 64456897, 796707023, 1017830158, 767403589, 865928399, 608120202, 23683086, 682973493, 357820718, 480170449, 658915428, 831757469, 37947378, 307231439, 588867716, 520201645, 390803309, 520398591, 116503423, 1030810621, 564815919, 600876386, 949213556, 82719806, 378443188, 522198249, 856292434, 767060237, 113178161, 797601532, 650039574, 903695416, 405576237, 743914326, 284683152, 617340214, 1004082669, 464536293, 939577377, 946021249, 261290679, 641916226, 569710573, 629346884, 385301235, 965617575, 145576686, 830779611, 781415718, 524024401, 991242450, 899133450, 347507593, 513150328, 65692818, 197072135, 936344247, 1885517, 37934505, 288663659, 684048606, 17442590, 641936949, 1001084164, 912591360, 844660810, 590463080, 252483571, 450977329, 609480569, 251892774, 870280575, 178125810, 332128024, 753451544, 1073166174, 626535131, 1008369960, 850957421, 954473073, 124939578, 991554967, 74613341, 733208360, 647931695, 557525769, 655293499, 652026814, 1065354665, 980809356, 756421525, 88484603, 545280560, 916387871, 744400646, 560969981, 219639314, 653237970, 577939230, 570707902, 849240012, 721199298, 2432929, 163193691, 409983988, 476058559, 195001002, 920211113, 956644492, 759314328, 303348919, 61371513, 311303066, 193647637, 130881792, 3771866, 1000985957, 518174965, 12640412, 914913517, 798288119, 700360234, 96423459, 39457140, 378596414, 369940293, 902365409, 82295039, 897217480, 116149373, 50225744, 785279979, 399255729, 968024822, 555146685, 1038436337, 296996770, 998592897, 681281330, 376602438, 759470760, 438509549, 779429821, 779751579, 342696929, 388755689, 138009038, 199065812, 466247242, 139082561, 477197432, 895900486, 494423649, 660314268, 90285656, 262571798, 763815833, 11399690, 169566550, 497362673, 54846382, 500376246, 538854919, 709959634, 754964863, 104861780, 898745404, 849664314, 878776936, 77856201, 237600666, 43154221, 822169691, 189589214, 474976122, 1067567015, 947718479, 384252548, 484926888, 456014692, 810984677, 42468999, 671105099, 321812871, 856025165, 50096703, 777097595, 357639787, 257026395, 280827590, 21366885, 707287997, 979998407, 402165777, 154851082, 696540263, 332606583, 662000617, 236977919, 12363033, 124558596, 249835224, 539310752, 239423426, 17125637, 231326229, 840472267, 974854723, 1017665799, 981712948, 485683933, 1037841979, 1029129782, 48290595, 793847728, 232653096, 855902974, 218414559, 459226097, 801258123, 852011868, 896026366, 964253325, 233474464, 642986625, 988599316, 635573433, 483684790, 803008182, 379558583, 744291282, 140673843, 983530281, 49104926, 775736435, 338753423, 1041370206, 404263942, 9683265, 800671019, 578165018, 982773794, 756621104, 214941684, 86511632, 265114771, 798382282, 548142683, 163689958, 981454808, 170988690, 585132378, 338256093, 732621898, 639210868, 175919606, 173848937, 820251566, 172383268, 126310759, 556699234, 989620762, 274194120, 172555733, 393378869, 726850634, 96535911, 411018463, 688068331, 209064536, 297452142, 1059063931, 959399374, 643022301, 720876367, 10656251, 844306277, 29478373, 766464498, 191759444, 74290354, 213704379, 931973223, 3983840, 248367195, 231751163, 166702472, 595875048, 968556363, 913813321, 707887696, 688030315, 658329289, 1059234105, 1734499, 38654345, 191761179, 162297407, 329213908, 766652128, 438099377, 128669839, 516425621, 629322669, 537226958, 591903507, 897938052, 176560162, 138393096, 447582798, 83416384, 510283138, 914148027, 228505492, 971250866, 810904050, 432472776, 425314556, 617850034, 185944253, 81076750, 304314585, 164353601, 711203571, 363232870, 679969401, 600560810, 834062344, 242989507, 663997972, 363751751, 274604526, 67999754, 571737377, 958036863, 398398358, 508813541, 998409233, 672506193, 358846544, 306724379, 824806846, 482388047, 147860783, 463073899, 120085518, 260348706, 350762594, 504516757, 852783225, 30119680, 883641913, 47587629, 988198169, 266785075, 762901043, 212961184, 308342634, 510643455, 628540713, 17555728, 781522668, 602393239, 602892173, 181170765, 84404559, 158881564, 445064429, 15581569, 813904713, 1031344614, 5350601, 750099059, 277248880, 411047657, 33795577, 132736643, 118623016, 601621263, 603313469, 589493433, 790700070, 201802727, 499382907, 578599523, 785021261, 430373954, 540755958, 168466242, 94821471, 333863018, 715490488, 871973198, 1061422211, 355685187, 559651675, 931224931, 684116664, 38227104, 513707278, 908091208, 1058581808, 313075203, 916310670, 690761486, 110903216, 1030554976, 3172470, 566468191, 899564968, 397547440, 1024757932, 735422585, 561101578, 371445650, 1025758620, 736654592, 359325598, 494434079, 418431303, 1052787025, 757831877, 774849521, 564344265, 827232114, 658869773, 1013821818, 610108669, 801755361, 618443315, 913395664, 971174667, 163032266, 582629065, 692197205, 966422601, 887778728, 109720411, 815089362, 989850070, 863650822, 904870344, 464357245, 507644584, 455835559, 83979248, 98184224, 728525318, 370267879, 376357427, 87132097, 1051190021, 853083115, 792208340, 114101456, 138012608, 738300914, 804473033, 314062313, 64390031, 568071826, 46914818, 648265274, 244114327, 1020206296, 458956443, 533734663, 471419860, 712465577, 905278816, 826579800, 381393306, 619806053, 210870142, 64002835, 1004406230, 774083779, 694906542, 1033313471, 641355120, 107509800, 380900483, 919367731, 1061960347, 680332072, 873572567, 711456336, 553549871, 527417779, 683304833, 659799918, 277803880, 371827866, 958888631, 850744538, 1002474652, 793511368, 894445996, 517779519, 610057065, 213672905, 226708881, 316721159, 321298676, 38414470, 412290807, 94770275, 116364317, 828739958, 242128403, 303171531, 986026067, 991502178, 655772597, 708287883, 679664814, 590747033, 709630577, 654682589, 869506283, 535793104, 476819592, 119412921, 147709835, 973509924, 521596402, 652049902, 135174436, 1035300532, 811692875, 205112285, 92211629, 905816539, 349084489, 234570341, 506093229, 717938135, 285351927, 145444953, 568764440, 438153859, 121973484, 1059507894, 314928088, 74829610, 992849370, 245302137, 602142459, 580504704, 582906416, 931084906, 1037844666, 790798612, 58480916, 213383205, 863301273, 922044681, 1064916044, 1009065420, 494700966, 742069099, 610691497, 274086140, 284632744, 182238772, 143633736, 871878481, 1043675008, 610386457, 550769713, 413405581, 695267626, 108653916, 488264566, 426941961, 101493034, 24711392, 183040661, 531015997, 140121654, 256654865, 975688464, 946798283, 899986065, 106351038, 85686542, 221964964, 1062156630, 224473463, 11889504, 818903031, 4632805, 530393059, 353910205, 994721980, 244637023, 204176, 454340719, 1043400471, 900902608, 463620563, 185706195, 18632270, 340405111, 1040460931, 840033577, 40817288, 177851334, 667919086, 257589975, 492899270, 208881479, 326115081, 720440385, 559513293, 882789822, 725631612, 940787668, 680069740, 640120967, 923107280, 30917371, 247071374, 232541887, 974993684, 114873864, 1026810919, 793945600, 21427264, 296960951, 305180446, 843487846, 482663230, 464478693, 638149861, 1000487771, 873059003, 856634279, 1015651432, 562664797, 928335147, 962442470, 140566309, 454502022, 417144565, 112243460, 613644857, 491797579, 241067498, 1022778186, 519395543, 1026712275, 67596971, 1033828510, 1066547788, 393360870, 539086257, 158612661, 894960458, 608444972, 485409935, 56703242, 487024589, 691848455, 555085964, 44445611, 683781457, 247476959, 250087972, 897326526, 950693933, 703446143, 353887296, 358149863, 324294790, 776683044, 860963755, 353644084, 776771740, 407324335, 298066210, 356084608, 705022569, 604164226, 736745078, 485298596, 151209442, 596172636, 905325079, 874683906, 369742108, 979170012, 65133055, 94620281, 709121185, 886736248, 366323032, 1052431465, 1027600696, 382326837, 738043424, 1072589472, 474391641, 291801021, 574051818, 218777516, 996887298, 984215207, 180210799, 830372432, 572058125, 819069980, 441954776, 754906462, 1015054589, 251072875, 332629035, 417352457, 623630459, 803654387, 283335639, 713674370, 650571161, 27462676, 459134969, 768297496, 225080824, 939626453, 674897642, 108660018, 808657699, 973792455, 251056284, 325712498, 42581278, 455551178, 1064761480, 608248828, 236822309, 330736288, 585036059, 890911096, 218514165, 480440824, 10445752, 54600723, 781262969, 165557586, 953102421, 1044048689, 697408668, 743158918, 556354816, 66534422, 364577790, 659354760, 96000035, 306606175, 586681904, 534477124, 764420195, 981591758, 1059515660, 688449293, 109055015, 509008188, 324881957, 10441929, 791160328, 881657188, 137037045, 490058243, 112676970, 463820308, 396140015, 847388413, 627508144, 689318031, 518103708, 261690243, 790046552, 1022206058, 152869888, 972608523, 603600266, 191394469, 296296745, 547731741, 759670251, 81205834, 307419617, 583576517, 329092340, 417323631, 206090745, 625428157, 72580533, 76382355, 1019489971, 713021416, 847130195, 41934835, 977166962, 1069039785, 701607714, 72920259, 799980870, 117231774, 606372603, 661856677, 1049499808, 210909738, 728546110, 957669044, 190057828, 123593349, 391755402, 52072239, 225254884, 695469337, 929811820, 355839282, 355200480, 125605575, 478765137, 47792014, 820502818, 237168129, 90106908, 436956164, 735014273, 241325801, 855155900, 240896107, 485757193, 685401851, 1036267329, 603004401, 203493561, 586707716, 1049924822, 775053116, 287191872, 298547459, 74448709, 643438523, 23950246, 379051583, 666001673, 490481625, 485353872, 84032516, 1027793129, 816875566, 766928832, 754488281, 797994230, 231649618, 454213211, 1001177276, 1048220165, 782814094, 526316908, 1066301911, 221505119, 849240750, 1044345425, 55962589, 297890465, 532410307, 862583202, 511327842, 1027488434, 933440419, 8533027, 276785745, 614650702, 270876257, 1033216456, 742983862, 571419318, 697062274, 198168493, 60269052, 1048361418, 446277547, 287866684, 677933103, 685527887, 1061668555, 29901585, 495301199, 558691547, 888923184, 988190776, 953016610, 1010836725, 903963736, 503732869, 98335760, 779471616, 309027145, 160269715, 163326806, 981866386, 767565901, 642214926, 140614907, 706124963, 233527969, 913626834, 713485087, 190839423, 918807821, 719654974, 858818893, 914887008, 484899873, 837921607, 792368505, 918068359, 310034084, 899581760, 23651008, 465626922, 220842715, 839341848, 212890189, 762648088, 314201246, 424422471, 786889993, 223930374, 411409788, 402811008, 479579267, 217573945, 493489789, 394727262, 264481347, 913696232, 276490060, 262147892, 904601807, 275895670, 223463933, 404315196, 958149344, 701848299, 123805479, 371737358, 623167325, 217714926, 1058141744, 503222763, 779318329, 518499708, 799538854, 2463288, 294531027, 188016891, 535176151, 1025882025, 11310521, 252405866, 607159900, 470908623, 227791558, 460899878, 207751869, 420489138, 569766332, 828414795, 445449269, 290611880, 188156784, 63474312, 407644557, 547294414, 386790694, 552334221, 961034139, 602030385, 1062506814, 160833183, 672723361, 834627224, 465411219, 146205235, 4756149, 98180590, 610564343, 183963152, 750211683, 894045098, 133090841, 794132218, 537137633, 772539751, 169474040, 226200101, 771870911, 303282237, 461158490, 853429699, 422696750, 767129088, 998503533, 202731022, 41310882, 1049444627, 182830230, 60615658, 328102496, 572741067, 152583623, 899345044, 383230606, 828093753, 871139332, 622822384, 808671322, 120910121, 181323264, 610868797, 140416372, 696584876, 404662524, 63466093, 237049896, 325285722, 568709367, 70879106, 806406166, 837919525, 547390414, 267130352, 406199846, 801732968, 1045449396, 465450634, 953682040, 609347198, 144043836, 443491805, 423906062, 148249271, 529146942, 91631344, 144216598, 915946267, 41949687, 272192475, 105828269, 684643155, 293577710, 210729781, 1009625144, 654439571, 553351783, 643703676, 879134295, 1065120999, 684081766, 160623002, 92901218, 607169517, 283574800, 602285469, 729885326, 369625947, 1030683163, 278579719, 525348837, 882278198, 469412464, 149858814, 997250977, 88101493, 144042053, 267664214, 727508011, 150961350, 252202014, 465229875, 383353739, 633608127, 256407902, 790262671, 123698715, 35727239, 148800230, 956826285, 1036841191, 596889756, 563226176, 968023817, 495875993, 365356179, 103506870, 177811611, 958026544, 465750330, 182155180, 525771751, 493587395, 358886694, 626732827, 783816448, 6425162, 573433833, 741793627, 514854523, 351843973, 566547254, 896671294, 1013603283, 827981783, 724733992, 915685977, 831113153, 535427266, 637364231, 365014496, 156109768, 470360432, 114146590, 483696447, 104767144, 958983064, 771135404, 160497306, 599762485, 661261610, 924085978, 27124055, 452029045, 56499557, 755825590, 432538967, 562661724, 26935968, 332999655, 128065452, 559573130, 872306047, 663893225, 892847633, 1043394266, 557538095, 956297094, 918338309, 865624108, 401403692, 1059031882, 305889742, 790995992, 573688464, 17243716, 168085889, 702535983, 278502833, 147496127, 995421438, 459752958, 799725782, 35711056, 46699514, 423633322, 33437106, 377851662, 27333000, 307389212, 289585393, 566171312, 620851112, 754586954, 310708506, 718757502, 961691813, 422440437, 810723007, 89341597, 666874671, 908962995, 544238788, 848611902, 294994026, 1025949963, 34726314, 971806491, 274607285, 454912194, 237607854, 376966736, 647422509, 815516208, 636931377, 70336792, 423207791, 323971226, 1006683357, 1057790165, 1061977130, 300890187, 438942714, 503801786, 197418170, 1026287470, 922009172, 258731934, 394150225, 666886129, 259872615, 610506925, 733348953, 15648027, 604651146, 1070220684, 131510996, 390463433, 497701746, 634291382, 929987345, 149548969, 506296956, 615333633, 365349551, 463230482, 351415624, 1014735034, 629118542, 1045955889, 50684389, 879831842, 238436685, 369226621, 925907181, 648630206, 903805835, 722929772, 985424982, 904817025, 334087105, 283197102, 865600374, 460721579, 1065266654, 293061829, 420200689, 938101072, 992962114, 349765457, 207797755, 294775418, 826469611, 42039689, 592107473, 549200936, 1057268888, 159652482, 104766527, 394462578, 68355410, 296072134, 997573905, 766940818, 1035933788, 1039499048, 111101322, 978183506, 733816006, 1034240075, 276608476, 486583111, 586652515, 50664806, 551561237, 867445953, 729194196, 659993241, 1054450983, 488786222, 117370908, 241340293, 379184455, 352225863, 572824346, 288598600, 421622997, 537762842, 606629046, 770195752, 107689250, 786292861, 359813276, 314003018, 536240811, 568304140, 200293605, 975581638, 328328609, 205100465, 634401734, 761151543, 751143783, 911226911, 711630416, 864967792, 841230635, 697249075, 70119724, 331382018, 789243913, 1052409311, 661354930, 981422804, 299239856, 592132356, 289075542, 731518578, 647699882, 615048729, 130341249, 770613677, 1033455596, 178349132, 339819652, 22180302, 651309446, 198825367, 782492690, 753920837, 839514051, 15414264, 1054687256, 468437077, 270977279, 100931147, 609954080, 695524688, 861391331, 976976285, 391099018, 494005482, 949051282, 917425688, 128720091, 967721433, 1072502839, 670809476, 249008944, 252748636, 523639518, 584775990, 938573762, 417288478, 816626987, 303613698, 530767630, 615496125, 873376160, 957459489, 506943236, 83940600, 175750537, 512862689, 911040568, 323335584, 187461335, 435907644, 840610501, 115915080, 85591226, 155726855, 1055952138, 19641831, 69477032, 212734002, 548795849, 227952147, 905356563, 592699005, 348002042, 843501519, 212936672, 1045273255, 69161640, 1068057718, 970290642, 1054562359, 704307885, 674750494, 636231579, 71862453, 318727756, 949896607, 342047430, 524393409, 211553858, 191123271, 396686407, 349835118, 335637964, 430735657, 706316055, 655842375, 407304746, 245383243, 990886934, 91511212, 654672738, 906840052, 234141595, 183909917, 578857672, 111384573, 134819007, 117297975, 259051483, 1027748575, 872266545, 37422171, 21388531, 462772350, 585354701, 637087930, 96432417, 561798673, 390669272, 900549146, 764643277, 333587734, 295944112, 301783666, 492614078, 149414529, 1001408896, 945188154, 909257479, 931589401, 385031619, 619807190, 541323880, 271005014, 426331721, 1048472413, 645869853, 439178307, 263658856, 610776908, 1008442288, 754931592, 1019440699, 532700490, 871735515, 411051654, 133244650, 843085042, 331821091, 380043024, 366418990, 349763671, 979868166, 207176854, 818934608, 401878645, 770255901, 216828535, 635279800, 725783161, 489788030, 354915161, 768328370, 630541697, 828616209, 563671335, 800162462, 933980809, 149507906, 170823777, 452150232, 388635994, 961247802, 206838812, 349251779, 389487718, 122327399, 375432910, 435730045, 589772571, 791683081, 245695651, 734321329, 267524163, 895219735, 493556605, 47728335, 484469041, 868597532, 1054083160, 773410455, 1015819695, 426181637, 166549081, 353489182, 877823123, 697690423, 130001917, 665720805, 863027054, 12427093, 740783317, 871538324, 1003990931, 107425752, 251976436, 149111353, 427127526, 758590683, 239347853, 177893462, 647479050, 1012063553, 184798223, 190896058, 164897171, 375851057, 190161416, 500192349, 198684951, 947889042, 695838654, 809004000, 884668491, 52148429, 732964900, 322163366, 180779146, 352627834, 532822540, 361591867, 760275859, 308565164, 835467883, 497786523, 687110261, 301908823, 844296173, 168148591, 235294706, 701598792, 654388725, 800913151, 653557531, 821025827, 531573847, 595895035, 82400356, 1049948930, 324093410, 562901764, 66225099, 791264026, 794848782, 476838783, 889887819, 632654696, 839336736, 1039505056, 560884956, 774676359, 111520374, 642600079, 868452982, 430063088, 595783099, 1046783367, 524534278, 302168675, 878871870, 457266504, 825577403, 523248291, 502990449, 943516758, 26007209, 974188060, 1065991962, 591488542, 751354256, 32840263, 268999934, 305191116, 217861718, 841996745, 469461320, 670435513, 39348781, 408855765, 1063771607, 852601205, 30778640, 60013636, 778039497, 419959808, 636622685, 896702871, 1033922797, 1064427387, 791989453, 565826476, 525475713, 40471636, 870355509, 896421034, 157457373, 161062222, 825487508, 84374805, 219251361, 1012964726, 512185114, 405843567, 57305686, 1041624268, 256839942, 497852954, 112061449, 829961885, 929439459, 545455826, 200911767, 617022230, 952751526, 501223225, 50660998, 232703247, 980150376, 27918768, 111933742, 772755280, 1019692239, 640792298, 605856453, 438852794, 536544006, 71662361, 960086920, 375855689, 589029833, 963373368, 162205709, 225069449, 518120477, 97421495, 252560339, 609360892, 1017538169, 775964966, 447043790, 416459196, 610410704, 335101056, 180755700, 848659906, 262248667, 355950257, 285808057, 932685869, 323345864, 699389302, 328609761, 410277299, 886116850, 332336309, 779934129, 975218493, 474497702, 786991132, 35825702, 722863487, 16867416, 78231554, 158580435, 714503262, 809068217, 981726982, 364746287, 794271959, 149064639, 848375094, 320467510, 389656993, 743621461, 777095793, 957733375, 731186829, 705809270, 449577838, 607256434, 239907896, 341806826, 3466696, 1043516386, 330644872, 409314732, 385721638, 955595703, 625146373, 916634897, 353565483, 921012041, 717473128, 577121198, 134831990, 876144695, 436541507, 156815018, 865695018, 329656792, 26664243, 448302654, 491876472, 573615519, 184994757, 529858917, 930679398, 945006546, 219731547, 691151826, 953203567, 392166358, 68096149, 113903761, 94081490, 313490135, 110601742, 461504970, 859793569, 587030686, 478006795, 974291632, 1044623680, 994613294, 155327739, 425529829, 1045923780, 854069266, 446266015, 707918555, 754176, 541650049, 13806902, 373542697, 644992018, 934379879, 110709140, 992098263, 605185959, 446253981, 982533193, 649373640, 281125464, 904085724, 973312542, 401758867, 497341939, 372507886, 552845985, 312169279, 135557696, 968499095, 480336472, 963600324, 35339336, 308974696, 39826508, 25853708, 304712572, 577509613, 39130136, 501755514, 680214488, 338996146, 132464206, 966234701, 467818917, 583076293, 272313098, 966997140, 511330237, 217905866, 625391885, 774743033, 893442274, 9227613, 1035497056, 575585929, 676661298, 113334805, 164590986, 764391620, 328942852, 520081375, 221916694, 463741056, 325491426, 31476211, 1045934625, 1052843088, 307509573, 150693726, 41289595, 1009355469, 549770647, 367710944, 357605470, 641611021, 762684934, 538590367, 648971315, 587154076, 295778759, 38551426, 778511885, 653398328, 795541570, 830733694, 829115159, 836149028, 645844443, 928695055, 1024441232, 374543677, 872596548, 56816876, 605870546, 722708884, 727846053, 886214880, 965855586, 521910476, 509059731, 454200091, 806279373, 673921541, 421312309, 20138661, 50483719, 944644839, 550350061, 412198564, 370476420, 743981443, 488533319, 763086615, 128522604, 577348953, 200495791, 347737945, 537262304, 647673506, 970726389, 1041390260, 968231613, 380918790, 326897488, 367731265, 93296827, 146021581, 856094774, 993388549, 1058314790, 314615526, 115183679, 127309161, 294806054, 528701016, 445171325, 37378242, 105069792, 530652763, 465709279, 195767528, 23327058, 26146347, 314402309, 281611415, 934679053, 882227310, 430857864, 435119464, 897105080, 172243201, 141889749, 61427120, 258495637, 573055656, 897661419, 22889080, 417348012, 667222850, 282796171, 641789651, 248347511, 541718209, 849537992, 220479615, 866530923, 745290890, 90788677, 628649262, 526723731, 42029139, 931929203, 735077597, 297467290, 858866196, 848342598, 574517384, 624608995, 850584214, 622304193, 691633669, 616165980, 209404731, 160386409, 304966958, 157092361, 39899786, 58495884, 915578744, 483877307, 229016034, 678605201, 641944866, 757352485, 641562552, 417451200, 53413643, 901984626, 93591838, 855082593, 16797302, 783835117, 970522954, 1070390720, 311957791, 955322487, 487811787, 652452083, 207039480, 706791514, 1020748250, 921098024, 406984403, 158808550, 376889676, 906295847, 103859053, 941169819, 412380339, 25233720, 317199378, 133761188, 438871346, 259370688, 100025981, 80180216, 990525710, 856705821, 1043109961, 516196747, 326972451, 243565639, 216120187, 915937441, 949155316, 584710390, 867043490, 728032021, 342289157, 326438483, 581394808, 1007223582, 969395702, 881409124, 8995783, 1046436731, 719321829, 1049480603, 423130835, 852772875, 714961947, 989835300, 784573455, 883178448, 533606333, 351190720, 332309576, 228630314, 361989573, 851193523, 723311564, 877675372, 76161300, 348009281, 591587243, 257210206, 646963214, 355822874, 566492375, 456505884, 927564988, 1069493459, 225718699, 1016936889, 766741011, 481110924, 478943547, 478989821, 730403151, 693551049, 141992492, 591602532, 548994571, 781757145, 505931017, 389876388, 50185814, 619880023, 701744952, 817588701, 554632741, 727351238, 826567828, 381886119, 1071598239, 823217973, 19176383, 993223384, 55213876, 839137354, 615628752, 424367669, 711949968, 1035894461, 291662826, 105007701, 972771753, 464682817, 307121190, 332276720, 18281602, 115112927, 204128046, 488666499, 690064503, 462293773, 128791623, 479245402, 960154531, 258432307, 843135328, 300669181, 505135654, 1007415669, 756834600, 590144179, 880712514, 152679033, 972476645, 979052099, 995422749, 749228368, 702389177, 825126279, 549612569, 988496108, 224006820, 300620969, 725217699, 396498388, 901742125, 805955808, 56388622, 237745801, 459000485, 22233626, 949784331, 519479490, 1029044416, 333505288, 342805340, 246190462, 115443595, 262143537, 956221786, 218639605, 167176486, 303517824, 314636505, 440999053, 279771534, 917306511, 7284525, 934287789, 267254543, 487617105, 852606036, 798944638, 648203455, 895344683, 179851132, 650479002, 31672576, 854027947, 416494165, 504501388, 439206693, 816657086, 560039103, 1020089522, 480529927, 394065933, 353979869, 291214996, 296515298, 175491778, 593064943, 684681609, 618622610, 686014716, 1073127014, 223064026, 10759074, 992793792, 489719066, 381505855, 906146862, 260148680, 562280533, 874387954, 949911069, 300102640, 902317747, 687499846, 674957217, 469778988, 997198481, 930761525, 686966813, 897844330, 690109598, 955493812, 6694284, 116169744, 232043517, 429477050, 611635034, 673423873, 954768102, 765806853, 591613811, 323668586, 819921507, 1029720131, 1005066315, 939502709, 103990632, 967344032, 41972388, 991719467, 722630033, 852178645, 404077773, 531136651, 626563314, 184342831, 410520423, 535681081, 310660041, 684370999, 998544783, 638065690, 62594092, 391196538, 745280639, 1052423991, 989532017, 1050079623, 52020414, 858737550, 774336929, 699732981, 1038936870, 502680820, 935498062, 785926428, 427438433, 210165835, 224400427, 237152491, 728193614, 932193265, 701439043, 716679215, 571936863, 253025161, 986939113, 237810541, 1033285222, 107447529, 786202920, 408733761, 836789535, 80559207, 845464900, 141635882, 936446960, 755076885, 502912675, 230605385, 222793181, 1061264459, 951704323, 284483278, 24783358, 820586936, 110544285, 1004330856, 22508762, 551956510, 703989310, 864601974, 983957076, 568580085, 308533154, 1036636136, 133916068, 988170517, 907492606, 189729428, 230498289, 569261910, 665526884, 682528513, 67297668, 172408419, 757673293, 662552381, 1028027889, 571545190, 909513458, 924848156, 705080657, 248137491, 801020490, 596224393, 720844065, 385817549, 779193061, 591414815, 951470700, 411297313, 405443635, 960014456, 183380191, 1054879907, 479457759, 193645875, 555376364, 669253469, 483838431, 432601987, 39360550, 402470909, 942780246, 146199805, 847157410, 621076543, 246339278, 392970801, 915953351, 761832961, 723588781, 955006058, 217751149, 425664130, 412872269, 369193353, 203998170, 823368760, 918095181, 325999384, 446826195, 601581803, 1053954721, 718660500, 297121107, 67702248, 239762449, 931664827, 317415640, 684491969, 88460048, 388117427, 18729214, 793152750, 873723826, 207912822, 569863481, 191337556, 322846064, 938144384, 498205425, 150776910, 285462672, 362669578, 528962697, 821941888, 178240193, 1034872909, 73820099, 80909946, 333014610, 1000541957, 220676385, 376092388, 612218586, 872169927, 649376433, 292500447, 228040356, 240355055, 91198714, 453028895, 765885559, 62136354, 1031449922, 210237166, 437268543, 494359295, 168690045, 359670356, 504463978, 929518752, 273549869, 1033254750, 864319004, 240601691, 455841354, 450428930, 925442724, 703175932, 214853028, 94613657, 504027629, 913919899, 844624002, 89780600, 278111450, 566434479, 760568403, 261083488, 971115070, 663832540, 920325737, 933403497, 75209092, 606055259, 376280717, 222321542, 473661265, 119049251, 905615051, 323292181, 381476814, 114777312, 403822485, 720302733, 794949987, 46833551, 1045435287, 332907365, 377123380, 322447869, 693266739, 525699023, 382748488, 718832618, 141139625, 283922623, 94423387, 27690777, 623111367, 141122340, 730604068, 953804320, 899142677, 589591532, 811488980, 466699090, 197816807, 719997796, 198765960, 234035212, 689364402, 890367801, 816798166, 1043208869, 546289311, 535449716, 942547323, 589543510, 460652668, 910227270, 804377701, 151434918, 320163621, 108272246, 31218528, 745028297, 268948817, 881698884, 1069094668, 600501578, 486884446, 190148088, 2705617, 777458032, 605454463, 617328307, 254014365, 468239200, 539962199, 644084946, 982483143, 206367888, 1032047414, 603823818, 429320305, 988790227, 356053724, 729469937, 146171754, 415307498, 154036099, 219367481, 169394553, 542970775, 947873437, 547994280, 224525429, 157586375, 624361834, 542337148, 367170423, 919316223, 698242967, 974728527, 305187036, 64011848, 40376504, 169699015, 14594488, 529152921, 909384308, 123743268, 173999366, 763567375, 76318710, 283864342, 639565929, 294507136, 309301822, 38834037, 243277665, 509891693, 138026564, 710234689, 569986696, 240342235, 247857240, 666022917, 4009606, 457705270, 712133913, 5652126, 578003743, 921647152, 301289275, 70308223, 123106561, 102059918, 206171684, 74362767, 733791565, 577419551, 1068868889, 226835268, 454867060, 279722024, 988859087, 361474514, 115721578, 426114294, 52281178, 373517005, 276045872, 990284355, 1070216901, 604141229, 542925122, 639511315, 679187045, 698159452, 736223394, 240200632, 667031171, 428831136, 366349596, 321788338, 606717339, 232259035, 498908873, 61380441, 53531059, 338308265, 51882030, 845578783, 611190560, 815006078, 517794624, 949443146, 392167049, 952622113, 302059222, 560593970, 1007790058, 587418921, 584149938, 994447735, 31303951, 485300911, 226337686, 257377055, 558080984, 900534417, 1064936349, 1000993792, 246413676, 684888303, 637818797, 29623207, 229774330, 130788048, 188040075, 836652616, 707984070, 563068090, 792020226, 1032615719, 324236420, 522666647, 753569146, 11982067, 110900863, 432674079, 757093373, 533503029, 269893067, 510306333, 333869544, 7159443, 858442635, 906129055, 152620719, 949651865, 571601474, 986646409, 639601378, 56052888, 1068022578, 502582756, 439808727, 102225373, 708869253, 206392287, 41503498, 74078454, 522119448, 327999562, 341087497, 386866856, 1070076053, 649916288, 261627017, 48895347, 848045965, 30096675, 603363517, 169021751, 260843096, 1054486031, 169236336, 119332286, 162662215, 190393403, 64512340, 131290157, 45990325, 2402093, 950278302, 231916644, 447677374, 722092010, 805148772, 98258974, 24051363, 1001949572, 532721344, 353340200, 310654049, 533968856, 280519273, 1014107287, 619561485, 830824209, 130525652, 793201811, 324155539, 173188650, 289770758, 452789801, 510060998, 796650897, 485036708, 750067925, 769509759, 639033235, 674942354, 582291284, 1002618778, 94161500, 441149628, 558617532, 346061544, 864155115, 872917941, 107763165, 820961824, 760491450, 997738400, 922018587, 527529502, 243703951, 241036447, 367976990, 399233451, 14696779, 777042743, 190598527, 691620295, 508145470, 62018102, 890917022, 120601947, 1065768687, 17597736, 488947785, 812653840, 162907064, 60936751, 96203464, 421000006, 50377919, 254117064, 218602513, 684063172, 680813887, 932841835, 982025505, 554893399, 842119544, 611198139, 371712885, 413243665, 659000856, 806080153, 16063800, 563881456, 398455187, 1041017371, 459216497, 324717305, 877122929, 657860941, 23540136, 88898183, 210533446, 927781693, 508164203, 91978074, 36518704, 46173657, 962141641, 249373469, 784790272, 266502021, 490391644, 866021212, 603333673, 254563402, 239479911, 59995408, 982163399, 553630839, 846047639, 167831081, 841687340, 486337126, 507828196, 197328420, 865047673, 540971572, 1018470377, 702576176, 181226756, 151797201, 724183640, 186491636, 883757353, 1064791546, 912039187, 974224054, 713179841, 607841900, 669957888, 802000518, 1039080038, 776885025, 551761204, 406419611, 92507657, 1044176323, 567572545, 406411874, 858713893, 592225889, 830592813, 720743519, 13759653, 606209212, 447627801, 1035839990, 168581838, 154985701, 6702720, 724187191, 457195882, 141485628, 291307806, 428650865, 244813952, 876369323, 93772275, 422442708, 932637443, 131838336, 984067135, 382601713, 957662420, 231858183, 1052780735, 132359029, 134518284, 914447592, 867444760, 17102912, 826995201, 974665613, 727663113, 208489125, 829799654, 3623234, 176495613, 147046557, 495503206, 900705474, 601447225, 530340415, 1045646589, 403162751, 945467548, 634852874, 1031363276, 327914716, 990954802, 502056510, 386618875, 894248852, 511305659, 919226028, 396888862, 498129914, 913081263, 619386501, 902453796, 238428003, 827331460, 731881831, 299569500, 73406990, 509307723, 151696267, 497329426, 80770082, 815112250, 582605693, 465405308, 742109045, 496627214, 207598331, 397920896, 45472407, 120761288, 236306362, 626584258, 792414451, 720531517, 89453790, 1011085178, 901043435, 967297318, 373966940, 951587948, 901273538, 432100913, 855403038, 290432386, 680556518, 85147203, 581892548, 586843305, 422498931, 59147054, 314321609, 829651680, 191354849, 1016433284, 801571889, 1028366502, 709956143, 169584458, 946232980, 858914344, 783565620, 849288377, 24674528, 842104437, 59936705, 863449908, 779558457, 796313809, 272186348, 925845480, 875197630, 578264644, 797716615, 417043562, 16154139, 458716138, 773147172, 866959643, 115108595, 202890127, 1071996002, 678700364, 232037064, 988419097, 789814482, 286743666, 486512861, 199914485, 370891675, 1045792558, 537268119, 71160224, 221818041, 1053185360, 13766596, 616057014, 809949324, 208326995, 244580724, 211134289, 264982764, 330666346, 365113911, 870649561, 845857885, 209390449, 358969801, 533179627, 403587517, 452879498, 889961580, 274516881, 118000648, 216793470, 31665238, 694550291, 644994022, 342201504, 511405247, 868349087, 302284969, 801323127, 686872537, 488605290, 727083858, 728273681, 270807901, 954802029, 659198464, 83174077, 727088928, 518759854, 496110018, 176259514, 768591867, 1006633481, 650995454, 264973623, 137830737, 506246168, 500075215, 702048042, 487254494, 638755827, 365143452, 317984669, 593770028, 384254373, 838192424, 694380610, 948496374, 733384091, 117566483, 189548825, 376422194, 246394024, 914188815, 842354083, 614675101, 594786445, 637279239, 840183546, 718301057, 535441287, 361404510, 163371121, 172225759, 737327309, 540362182, 374039979, 991169526, 8000638, 112890818, 798416221, 849525449, 886502111, 995283410, 292930084, 1012782580, 1048901838, 791337653, 883639981, 121768161, 456051122, 311297048, 943491170, 193455355, 723113675, 289719001, 960728945, 680800104, 838867751, 28558962, 647852470, 357840423, 712634985, 1007930807, 191255567, 544834512, 832301522, 542018778, 571549376, 1050982982, 851987177, 373146940, 759021390, 256655794, 466163945, 974664106, 224305064, 405763657, 1066273647, 3379055, 960148039, 773510842, 1045122279, 260775850, 908904496, 112689337, 1017457882, 493726863, 925925152, 938254694, 442998868, 345047171, 525558830, 1042286569, 526650067, 991683461, 842088053, 755206748, 422725557, 548799668, 856987146, 384174649, 173308639, 1041084324, 181274090, 145101482, 936399218, 504329950, 675193153, 938055217, 131377451, 606489560, 332942546, 457442351, 969208024, 161662459, 257180480, 329207146, 91258290, 983444917, 301689056, 716643121, 268249478, 607488486, 1049375506, 620399454, 390632510, 11518614, 912074173, 578841553, 875929939, 1011049802, 265475685, 50797932, 3369820, 1003021174, 230857621, 499974762, 421772896, 772830713, 650377636, 740145615, 934151977, 576772833, 668975447, 634718185, 566107595, 193354406, 222214831, 842677585, 1055094038, 781801580, 844710170, 820380740, 497296264, 569791707, 881366370, 1054875016, 292077468, 645255158, 351916269, 580538371, 495011914, 852935396, 43060244, 351531370, 588985101, 429582875, 932032262, 409970685, 176775195, 81296753, 730970707, 158089880, 222463082, 964032922, 248871065, 200531253, 639787198, 169060293, 777700728, 231049088, 255958965, 971530720, 203536691, 192772950, 972691525, 595693045, 146132247, 463604736, 538507490, 92945613, 577792502, 429988951, 616549739, 499130825, 84670027, 183152640, 1020963833, 335807066, 62370049, 66819307, 389567249, 147073182, 194063586, 130574856, 232066909, 195544719, 840888420, 489011294, 73325746, 687860325, 133578340, 684877043, 66271987, 316721788, 629716230, 204869577, 834949198, 649704644, 642644879, 340806750, 1048164807, 996348973, 412639109, 819552296, 809172014, 1069897597, 727506370, 633197395, 310750321, 67961451, 150809338, 854711413, 932767946, 190920294, 779566338, 607194783, 261790809, 583034629, 620204411, 255240455, 166703669, 27646790, 439372100, 13047231, 671570080, 495976226, 944695821, 582992134, 230684521, 812886571, 797039512, 863212195, 331999628, 160069515, 287880620, 657584982, 553073187, 965926463, 386296306, 501366901, 474005329, 907177621, 556925637, 342920005, 963629096, 638272639, 1031465365, 771712130, 328863375, 643817753, 918570189, 516537990, 543658081, 298236183, 303214554, 208846357, 674388471, 534468228, 865705357, 236553442, 324531804, 155080562, 946109135, 628556914, 410640612, 727525360, 872594771, 763172581, 990055411, 815688542, 643614628, 822957305, 127280004, 998262297, 628900607, 426385417, 76594996, 363200385, 919057243, 252909061, 587936505, 627736100, 377518568, 818870418, 344360307, 807435818, 364108016, 604860043, 197595675, 524382349, 164494458, 808958747, 79468873, 303805500, 557645430, 654158552, 44397758, 288559660, 205596414, 428491249, 814992733, 306734061, 830590884, 1022506822, 738985547, 104033047, 842342237, 311377843, 507961337, 121238263, 126725346, 477565544, 143135478, 273364581, 610085506, 315035653, 125687773, 187825808, 833551192, 534546626, 181742405, 947242974, 704870931, 602732499, 103958692, 322835728, 600032924, 162260083, 850396614, 718351071, 827888239, 393891721, 822856866, 599761998, 607405914, 410950330, 460459513, 39378876, 574637082, 673964384, 889172260, 607847731, 728552963, 448231563, 889714258, 701783197, 476946413, 164826792, 147649426, 878160208, 133849785, 80505139, 304117277, 292990657, 695093729, 785571743, 536783024, 576405982, 45864048, 256354098, 939355152, 1038271671, 74009386, 607770053, 347315172, 1009946295, 1063875097, 353942678, 735658712, 218501016, 355454687, 540885529, 623248227, 233645648, 774571149, 968315418, 394052114, 1004535214, 1036735211, 814819826, 106166456, 6673758, 155364025, 316899476, 251774744, 927417812, 760199089, 244192909, 193249850, 188887992, 1061315806, 280099937, 777760669, 865067556, 349798294, 996442142, 883757284, 264208793, 622415738, 736718662, 343439781, 948204038, 58191226, 337416089, 559743506, 546606867, 4141822, 989938187, 866037350, 137127287, 591101616, 222925066, 212025698, 917840066, 986228143, 250514257, 70812917, 129044205, 39223365, 660823650, 565289058, 704170178, 745224694, 713463363, 458752107, 473402677, 907554532, 950762337, 201954260, 830124982, 3998288, 331444526, 1040849560, 635846901, 120602210, 251468693, 609854860, 231710270, 534441407, 614522518, 751456690, 587680010, 1014577989, 247145183, 179195513, 695838577, 863304839, 950272460, 770631488, 851225941, 164557140, 754960943, 579508221, 90477971, 353371598, 155156603, 1060801772, 494821867, 1016201225, 797416757, 1007981537, 260369360, 47696929, 838298677, 354109292, 566189930, 604629357, 403916328, 333672976, 211665947, 984714773, 496409890, 939662835, 353756958, 241932587, 343667972, 1037398432, 975803005, 461578250, 930409631, 294305108, 926932597, 298234471, 124407072, 136695291, 469147622, 9377922, 211770228, 596935862, 971346663, 315779536, 16540476, 610397414, 780693275, 418237563, 114534602, 857735190, 329175162, 618254563, 30989352, 1008678579, 163202061, 230471268, 1028356444, 919320881, 133350446, 776353126, 781439462, 798964470, 670959412, 12591562, 787433302, 1026415503, 1044206527, 333674404, 54271454, 876057553, 416962662, 567781543, 333929611, 1029071141, 203490484, 268718800, 665114838, 205016657, 828259492, 1066380612, 822518169, 236682766, 101023919, 120416777, 179565249, 917520264, 1049797959, 376373292, 206648374, 445934457, 516853106, 747196725, 1015560752, 427855689, 704519097, 970471369, 436294824, 2576871, 511625933, 661775631, 448192287, 438952717, 1058243393, 738535055, 526240316, 175024244, 12474683, 80535373, 113628651, 990083010, 899950865, 574524799, 1028547045, 393397145, 287942275, 486280952, 92874400, 261949929, 552570558, 572802215, 636590455, 406376706, 866300668, 631011366, 265837386, 903056860, 495278743, 335984741, 507041415, 314316385, 606748908, 18553511, 83085086, 177256003, 1059774445, 439914970, 661947596, 85225828, 842389523, 232426592, 451067974, 636569802, 814956573, 1051782455, 568143392, 1023043151, 294191165, 388441548, 702992631, 484432756, 290337658, 765721334, 645381809, 153447131, 717546355, 804313890, 640860338, 453188589, 731834576, 1050506821, 48059997, 338364058, 685871533, 1039683105, 1053963678, 296256402, 407234150, 401852442, 77558476, 88525196, 637537309, 645956317, 999785456, 659341516, 195336265, 68421033, 408761537, 291527960, 218543032, 1053461991, 108355597, 86325358, 222014067, 92149137, 683825138, 230752327, 208946735, 483934228, 440146514, 759238748, 748807126, 633183678, 1064777175, 983011646, 898956945, 998792516, 455184643, 830445092, 49636120, 56521610, 622740146, 602827981, 863294954, 439217485, 436401855, 600985109, 715505095, 16418788, 26237529, 115478687, 1045583142, 636431272, 1024585412, 623517772, 284068590, 867665807, 582183734, 934893110, 328215439, 340574857, 829262199, 861314660, 476563158, 140147946, 648054572, 1003262899, 403061928, 1001729246, 825442277, 1023973231, 587990461, 542606426, 91598882, 289622677, 995378951, 748979073, 427300071, 641342846, 680451895, 868365655, 550201219, 431677293, 762568829, 1032528812, 379241199, 411196743, 207513425, 830162864, 466860419, 977926732, 975323844, 734468725, 807806657, 1017454021, 15245249, 77186850, 11057541, 737128146, 249482801, 865125535, 906373491, 141562529, 30677033, 232515668, 470114471, 180959009, 616038945, 409739767, 662486511, 711298476, 746656713, 204866052, 906463128, 647491942, 703588603, 453224884, 51932566, 532626211, 128233384, 489585609, 298043373, 818731931, 1058233400, 681875026, 179857179, 767390589, 1034331571, 909977839, 554272078, 679622203, 608424922, 6018338, 779073753, 331751842, 36657192, 891219034, 354528608, 240892042, 274696412, 436656137, 184770758, 596203263, 331753573, 945186272, 466650893, 1032506513, 361087298, 721652720, 391074362, 169625377, 866082999, 681133648, 626721870, 416127243, 845293385, 77771399, 556054146, 100790684, 106980817, 442716416, 86505582, 965885934, 467965027, 374959079, 109745656, 758273479, 1060216604, 256017412, 692212524, 264403576, 64133835, 328373236, 790030664, 387419879, 143479312, 649442698, 989989255, 240621048, 431335975, 76911792, 371489483, 535193718, 761214285, 369046591, 765526488, 963964031, 564641362, 658293180, 1045585574, 1059288585, 363946772, 711606395, 697667408, 606379248, 544034955, 618143156, 5334672, 1023083332, 866756982, 138398999, 780283491, 20644222, 403213073, 796645594, 922760200, 443740007, 342101016, 700977850, 660487861, 412345550, 50201555, 892004902, 55421898, 1029411071, 498362054, 674582307, 928953731, 30077536, 1014186204, 477342301, 340848744, 854987344, 285624850, 916589682, 189352523, 1003486800, 993221314, 860975073, 951045257, 28724506, 918968722, 926841669, 527774263, 463195226, 253571268, 662296706, 1021413663, 992230605, 29847225, 281570870, 631948769, 1024318474, 304371593, 136463409, 94346820, 583845813, 487892184, 335297442, 379086844, 123863764, 308241310, 996752092, 494824829, 519500362, 344239876, 1017305470, 197721826, 40560356, 938891688, 966178658, 273313528, 712643379, 701429053, 888967425, 49793044, 111204760, 254549658, 944635723, 840541847, 1017813555, 640694615, 525155835, 939246678, 781529532, 919571469, 205292855, 879005022, 635511702, 323532325, 285219021, 204428565, 879002599, 572111961, 465832626, 442930117, 158208072, 187219923, 1054134555, 103727615, 957951269, 518853565, 301227227, 328897031, 391691478, 275330967, 18276930, 414706510, 249043801, 9155137, 88347715, 39309250, 813526730, 601029687, 139595210, 214783466, 90984411, 876376263, 647542207, 248976942, 547145955, 352011993, 1023245732, 305635067, 1048386916, 369065612, 910889395, 152906328, 978624213, 644605869, 45504878, 699049320, 137666969, 660610030, 737801183, 1065888444, 34348618, 95371523, 243411425, 726590948, 912785112, 839638571, 875128973, 3154448, 54891386, 785628900, 598148684, 361888915, 655203803, 712831916, 93211100, 707990582, 16403242, 244258278, 400275156, 562210817, 546367240, 579791062, 545374867, 692003592, 134662451, 902690854, 268041528, 392474607, 995689621, 659792059, 334935288, 856455239, 316081679, 313949270, 669550906, 897247651, 1071107291, 387421748, 779559195, 726613807, 595883189, 652459006, 86263216, 977498693, 270386060, 679564821, 373703461, 393807181, 142860145, 191612583, 595956360, 989988831, 82726483, 513945603, 683070819, 602420824, 309583219, 522151605, 939585974, 201049073, 740005546, 66331848, 653028156, 55853612, 826925160, 679057592, 544588127, 884044388, 199315884, 999608807, 1012533730, 804029860, 1017432017, 22006072, 511631439, 867309040, 940622471, 285752983, 159477287, 1044320577, 194823308, 926146967, 257782586, 606560000, 604318877, 541535870, 206117720, 52634688, 695375944, 979523092, 425040407, 84967545, 433327107, 308158438, 303597588, 626388837, 499677460, 213006631, 892934067, 687905012, 911432777, 730892227, 262783714, 46654685, 946756024, 262705111, 90003337, 281621145, 1024333410, 595845985, 819153392, 850585897, 742512208, 803247462, 853456369, 484043144, 768817858, 875172365, 530124353, 897597000, 735916312, 809930041, 564883330, 671652983, 526956180, 96726399, 498257999, 962327830, 431569599, 32273283, 100905877, 612901139, 326370701, 852579580, 982507045, 229325809, 428856859, 721687501, 452860035, 5241730, 103743397, 971821814, 1050537164, 984984478, 242384396, 152252130, 288977125, 496352591, 837449519, 131668866, 336889034, 456229522, 11735017, 613162670, 580687420, 466677948, 339394520, 378039051, 600396989, 455993885, 975597620, 1001967128, 1023572015, 781070509, 431223797, 757885505, 526976819, 702611945, 509997070, 913430921, 1020916238, 768208548, 349804918, 765415638, 460973126, 396673298, 63917097, 431393881, 439955874, 691635325, 319644177, 838878047, 66018068, 561950366, 97954463, 832502671, 577338974, 218645283, 221033729, 665214092, 738401538, 482510031, 981542543, 599163915, 486987481, 1005849867, 127381458, 1058702731, 832154001, 571270358, 936211223, 886631658, 851205051, 462603781, 103393214, 594769324, 133704121, 451760979, 673339477, 920780972, 304878613, 135475554, 879118521, 131027921, 442584753, 392755569, 719748416, 417238407, 1015892790, 1025035912, 1000030367, 446444594, 895977721, 7249455, 254044533, 114216282, 436058956, 476523409, 157413528, 218426047, 609666680, 53497498, 143774373, 654160012, 975645921, 636856403, 814806255, 252440799, 973172959, 502047676, 891202115, 74515637, 100115463, 248062898, 802840791, 332286635, 150015130, 837084319, 624091987, 569908858, 927516055, 1004872502, 527738762, 82299357, 355543125, 296298166, 172596419, 127612299, 705291023, 59367427, 816525145, 818948121, 521317148, 592392372, 742682566, 857770234, 507602456, 613466576, 13514340, 1039966534, 826838441, 981270587, 642925733, 76960373, 952181828, 287546104, 675128578, 504926394, 542589071, 399067541, 226043855, 519738035, 724436790, 599537870, 423580612, 998608470, 183419501, 352669381, 1033097973, 842493991, 103662798, 160340536, 1068145581, 214351075, 968530858, 356057397, 652710249, 848497068, 146998054, 217086838, 737583495, 60538809, 975958696, 136978215, 338459213, 435823717, 360514622, 1071995614, 991416023, 767461623, 139761164, 97725927, 1027234960, 937592410, 132694532, 552578263, 935351064, 439445054, 729932588, 985248537, 536666970, 513037788, 1062410478, 674722069, 238616064, 995761801, 176437896, 41879013, 85267075, 585108136, 869020945, 869310967, 93604936, 981734376, 129506266, 240155209, 108448192, 663459975, 297824875, 146908191, 83561261, 983409675, 847792709, 541394634, 33075409, 238339699, 414137079, 760438096, 107218904, 877882632, 1033773328, 97164384, 658734743, 686262792, 390012972, 5182743, 857654433, 262081501, 758808728, 999139663, 452362016, 800174985, 147329067, 133155531, 491746199, 687695318, 123781211, 545454909, 116811254, 844233557, 631110566, 906554548, 410048733, 143008869, 500036767, 807491792, 877974773, 459917742, 375683820, 543272589, 356092753, 212968521, 1038307423, 1052352405, 89468316, 652926552, 18684670, 767266448, 549128275, 370409826, 841599872, 134439817, 464598020, 68153517, 438074678, 629054574, 629856671, 319516116, 328015563, 695756428, 248968361, 664988069, 427283176, 259673195, 119193486, 721786686, 654848606, 74317273, 353471891, 131424488, 315303554, 624326918, 393510342, 286817521, 721686078, 1067706482, 787159433, 36926281, 264757368, 361960318, 106344387, 239775434, 645496929, 198366775, 577083531, 255604152, 722051321, 963208118, 1044864762, 676820672, 424053749, 776837604, 872466655, 504848435, 338999175, 681053593, 67953242, 855212941, 733148154, 323574862, 367468310, 524278871, 1013466732, 755517836, 108128449, 929061648, 1041189870, 948532932, 833940179, 365932178, 163747517, 407711695, 576314407, 365434454, 743213141, 978994650, 788675908, 1024287431, 281916643, 728414155, 376669448, 735131303, 314855753, 139488138, 132358220, 351542481, 580501526, 234663281, 759059116, 1007044346, 168432713, 762753465, 778863104, 955891260, 782743181, 121048597, 559260274, 463398535, 666382139, 588742320, 448894072, 484121784, 787859433, 149187514, 746052637, 1040104501, 304334845, 499909174, 315604838, 821569412, 222094792, 474756550, 592519152, 112640975, 824876524, 620909330, 345866685, 688535608, 488395051, 462132710, 677242842, 697360176, 39179069, 744558678, 104187440, 75733912, 829935743, 819568749, 44580752, 200047552, 213937612, 487125216, 612964177, 298705478, 972865209, 908641713, 372074061, 512389751, 524533309, 565633622, 46289952, 934924628, 1014831597, 465627240, 143173447, 956267200, 184959903, 243498404, 563470333, 867712543, 1051325139, 281235407, 404682043, 165858380, 912131800, 500524731, 404024979, 557160337, 717662036, 969710281, 820090651, 625297960, 341059877, 545913557, 899538427, 661241214, 708133823, 641836951, 1009186810, 681479644, 442871260, 715774619, 486211193, 738496304, 337692455, 943638111, 196458247, 613694999, 833125719, 1049986313, 422348109, 1031974485, 965455989, 208527230, 40088133, 393352345, 1068991257, 51919200, 244307053, 500653345, 614393769, 971096816, 565851517, 109086121, 1010460807, 567178925, 1004530840, 681108394, 515965211, 8155483, 1043401239, 92065727, 557276284, 578245722, 733767140, 227261259, 312396081, 788977054, 229377377, 676831505, 252252257, 851469198, 1062455284, 141641105, 802855633, 389036532, 843664869, 260834337, 969566906, 523540290, 39105470, 528052859, 929504902, 151745553, 415135543, 822919487, 590255513, 326140639, 355794524, 475441361, 369490349, 548757404, 1060577270, 710332028, 629478999, 255281908, 481134174, 1017232238, 1002968086, 50643998, 416016923, 595090708, 348526185, 250647335, 47771585, 760223203, 383017918, 1004544051, 998093064, 446713351, 12156261, 469259675, 642963452, 665956411, 340395679, 260962866, 357093795, 434441440, 979711073, 137813342, 1010611458, 661282512, 837928404, 793093027, 751148208, 164440722, 155495228, 895949766, 545949116, 407009752, 533228641, 118016713, 25936514, 293171059, 975882597, 871940418, 404254030, 531596784, 358139066, 829997686, 659672293, 557451469, 951672469, 740887196, 915185201, 1062844462, 390333735, 419014723, 658154776, 175011913, 262832890, 1042536607, 226872464, 621039157, 545479901, 149143315, 353063749, 951007093, 593444672, 213256129, 632948474, 467426278, 517497296, 273358750, 290268864, 174405909, 109074943, 28832105, 209285856, 939545373, 55188251, 755775782, 993864745, 518735297, 941885879, 246105630, 49535473, 94038947, 942704302, 591862480, 625203405, 802225167, 200685953, 471737254, 431237476, 958508628, 911555728, 138397258, 260671796, 1002638934, 5809662, 195162664, 90397086, 405585235, 842706609, 950863729, 9634108, 458599435, 440724550, 792961921, 334278749, 121768630, 274904611, 994812676, 764429068, 307794076, 720654471, 896583283, 944281415, 567035529, 91054013, 227912349, 93478419, 651346129, 865903703, 376637799, 1038176600, 840642271, 612979178, 244224561, 666004583, 180668717, 615727934, 717675142, 208792761, 871099757, 874194691, 841895573, 531475472, 205143768, 421246043, 784111149, 329223813, 407067922, 60701000, 460188385, 715152939, 178842974, 1038438692, 132776862, 376564407, 265152733, 195185200, 939296756, 435487046, 836436421, 190994090, 658932180, 815552519, 304474777, 894339416, 655339196, 26203664, 58387001, 682335145, 694294589, 780826949, 164534835, 580374088, 19826960, 512185062, 483558371, 216105788, 1025913100, 397988899, 217066758, 201113387, 135427446, 428616163, 508757315, 726297604, 315401324, 431367913, 520283063, 443960005, 218242319, 436273890, 780677654, 998245295, 690281575, 856173839, 639595657, 822304787, 961457196, 24235418, 36849069, 828260052, 341047381, 910656522, 64360933, 718220957, 723797512, 434152680, 8027950, 925777042, 605560160, 874844990, 314481750, 668029430, 244665151, 971258730, 130127839, 636230707, 291326318, 716771714, 106684233, 98427872, 681986409, 504750411, 191271704, 760352927, 829793832, 43626781, 1026728241, 799538445, 811207305, 359100396, 479647694, 741932977, 257918082, 887806721, 559986347, 261028293, 116918986, 744384318, 167796343, 431620087, 376611570, 919155432, 649033194, 184067761, 682983421, 741500591, 770772297, 882582757, 337465727, 963502443, 517984869, 178910697, 249118668, 211395458, 241591236, 827117358, 2768986, 351947073, 753161867, 353082, 647794031, 494621629, 597548768, 979839171, 787691361, 60089817, 304038300, 738768941, 678162489, 184196227, 722501710, 1027993698, 264922273, 90176257, 627754682, 127316227, 512190191, 311048490, 860786408, 553585661, 964579563, 169574840, 379936243, 58484343, 747134693, 136184687, 724635879, 153209452, 418570924, 654452560, 181547122, 554291996, 955183951, 956879003, 820583192, 26544009, 347385461, 300404146, 551557775, 410852164, 534324249, 250657533, 548376800, 644788081, 351391896, 919144264, 939521614, 793210669, 593867252, 332674003, 318946118, 1001894501, 529360812, 33997119, 439540426, 758658126, 17147477, 800080912, 207278411, 615909510, 527548867, 948197008, 953946810, 906355997, 935851794, 791124230, 573125941, 368112221, 592453486, 43286569, 654168587, 158028193, 905402573, 499327525, 272791506, 1053590007, 300274617, 664167279, 121299122, 224693942, 490427393, 310387355, 712954760, 560516375, 945887876, 623144632, 488646118, 1009825052, 563831983, 180308672, 155104753, 34447926, 691962943, 275631594, 681910675, 635497635, 462384436, 116890395, 52093776, 238760114, 689008565, 861915858, 934019534, 637214128, 986792479, 737854414, 237136728, 871765466, 659582658, 60055340, 942671784, 977794506, 104609113, 934459135, 361058855, 475624093, 1064364138, 164297321, 673771797, 127716138, 206361156, 492416772, 820465241, 433791098, 600083855, 303696900, 117489366, 424631952, 579108458, 930077922, 537428422, 692796092, 985173100, 57711465, 527966959, 176009212, 344610999, 210135104, 155774892, 25602572, 840169859, 161416864, 469444956, 701965186, 143541611, 1031603053, 121553548, 80977119, 346031049, 331502548, 285227546, 1047760291, 327282324, 917879083, 500763832, 394614685, 112778396, 182734601, 596520313, 170358086, 841530067, 1017099569, 590290921, 71023950, 732388558, 511963426, 895347776, 415876325, 632990995, 208613578, 39683480, 746015617, 227604253, 961974776, 632401527, 910541247, 1064484269, 112987234, 1034865996, 317969727, 8561755, 237094366, 344344161, 293852873, 1027662399, 723026575, 624227453, 532115454, 162083047, 214490894, 765140623, 962795928, 905664041, 679331686, 563577612, 364181283, 296532491, 955368628, 469706067, 423986765, 897289484, 44304635, 105830667, 270210642, 574608441, 1023793466, 696880808, 134922302, 315847231, 629064489, 553008134, 651522883, 773745330, 611482855, 965255564, 514420893, 292953559, 148314039, 125734512, 1014711645, 36648521, 359312307, 613502433, 478449761, 639969904, 851399116, 716588433, 243044334, 844122438, 870152851, 83742565, 630916426, 469627706, 1065996313, 197788403, 603870129, 302870683, 288609233, 779939090, 847699653, 767319464, 213850764, 790284765, 896918522, 29364839, 326226001, 40880062, 218361124, 657827039, 926074566, 1064641806, 622965064, 210803565, 356074773, 831362670, 818546815, 368224610, 1027145743, 241805320, 1023370456, 251661718, 91067736, 11758353, 207877214, 281897237, 401062820, 644673702, 468693238, 416749198, 574466952, 284233084, 518210755, 632181398, 179172806, 587566350, 515737403, 671485054, 621151146, 991028182, 355064999, 662884211, 111766, 766745839, 79624168, 455748702, 830197775, 1047923105, 835987063, 657579369, 468907912, 560856005, 500966561, 1038982276, 974671116, 698123689, 296423003, 104268130, 207894875, 806719244, 524265453, 1066558520, 879419899, 533061276, 174264007, 34738840, 115981028, 879473068, 1004130962, 754665292, 907146853, 590122172, 729499934, 20528180, 240438895, 535151596, 759334942, 314690283, 765235015, 967987071, 362918493, 28631077, 860389964, 66141259, 473882112, 472708239, 358400925, 235291159, 774546706, 524736320, 741143955, 86911889, 345335076, 43828386, 146124094, 225231106, 655271299, 158651053, 596244863, 731413540, 793176176, 624664310, 632192250, 962435954, 207684281, 449661429, 668133188, 472636133, 608979457, 1065211181, 308448363, 629677506, 102648857, 274911955, 282268071, 983669165, 957645840, 537996432, 479469788, 649193324, 150882267, 802036749, 664883130, 179551762, 7215222, 259262199, 755364914, 9568836, 593531112, 786361417, 353555776, 266408947, 63445068, 668435547, 568281631, 743692853, 64918598, 444609880, 893030213, 183965785, 607680467, 350212485, 755223014, 210581705, 442986710, 965500771, 327001605, 725023835, 823688865, 449008378, 306110105, 53976078, 1047222368, 1041111622, 1067250187, 793702908, 859569046, 203562034, 285811121, 227856927, 844519217, 524463197, 520339018, 1061377451, 413269226, 1034598222, 598163586, 1054765554, 120958939, 470907789, 822916567, 616732244, 361890292, 470707153, 528835957, 875487971, 529797708, 656286463, 715836032, 929866274, 89547060, 434979132, 807705251, 319941266, 68573264, 738281473, 108456586, 1031864, 606912424, 20681951, 600383801, 377230574, 737038191, 480315423, 495410920, 481487736, 500468272, 98094544, 506186647, 435553057, 619650824, 30347049, 1034029231, 232903250, 215338945, 45274047, 626364476, 188677669, 267728731, 580923532, 723558587, 263115592, 673960603, 518703245, 758165189, 702522206, 482932862, 354359424, 81565642, 151822980, 936642559, 70697422, 47446474, 107233537, 117480534, 368535850, 996747434, 236243459, 294323150, 843404310, 951151333, 489662713, 504485851, 932875335, 790005971, 1040987688, 1055101506, 15110151, 812358530, 398655380, 789596215, 1024589480, 845032349, 565418885, 847466906, 513564425, 435598631, 730091072, 933688511, 119976447, 199616420, 275102646, 845754483, 31149466, 514860575, 118174263, 377870118, 786286824, 636041479, 1028573876, 448617265, 260252044, 76009505, 189344200, 969711523, 564633428, 301542140, 546336981, 212921128, 498735823, 241345665, 948646370, 252012568, 1042236884, 891831495, 946510482, 628258774, 7645335, 444762065, 454041856, 930531676, 37669318, 254856371, 389614551, 925892444, 983039256, 34437177, 70744768, 807559563, 455151983, 738894964, 252281576, 929101607, 329829776, 307814269, 667188366, 1016752773, 595925329, 839942009, 653519725, 861746116, 882771570, 294092689, 1065858338, 302821815, 698179152, 312752134, 757933655, 528044099, 651251241, 944565140, 703484091, 887681739, 621879691, 284293555, 209944863, 590484775, 330379187, 270111897, 354548928, 735451155, 997039046, 838962153, 779357606, 1007403705, 726029421, 860723363, 248857804, 984518074, 653817165, 827872290, 414461946, 992858082, 606319675, 263183757, 325453096, 234018289, 255679823, 1626039, 245401628, 449835245, 512070150, 238734454, 892709083, 981586305, 92430510, 816618042, 289229233, 9600182, 556119343, 459611956, 609100969, 814200302, 903303191, 55627464, 593197288, 152284755, 820600224, 469546716, 554792567, 764532250, 643412569, 316954683, 148006276, 434486782, 984661997, 572219774, 274799656, 552311302, 750657805, 80410167, 799853357, 691992037, 1007618925, 108691585, 920127430, 118782557, 417891895, 254874680, 543370197, 100696607, 431650401, 712482812, 870434440, 99337574, 583269559, 537110839, 796011873, 753896648, 645904266, 112634344, 583349631, 192114307, 975972902, 888461247, 665011998, 43237163, 317356284, 775294466, 550857213, 51608583, 686589876, 314486423, 38003607, 24594560, 509377736, 165688196, 394213681, 810315252, 205064414, 255298903, 307229622, 263358045, 280420913, 404700521, 73841770, 704232729, 106022854, 145211932, 356750704, 991947410, 875638319, 63057757, 812302269, 996437202, 359501752, 542520974, 855390046, 989531734, 311252784, 53503747, 946713457, 662734375, 447945463, 467431799, 285134833, 294894320, 271271422, 727399106, 99356381, 522978978, 288759943, 986995049, 744445666, 298941732, 763997805, 902412867, 736195562, 956631580, 982876335, 185666458, 1040765917, 106519399, 1002242192, 439549415, 466020057, 290926295, 786580674, 849111647, 304009611, 382714280, 652518438, 768369928, 546490175, 800308448, 1068899982, 802438171, 952327862, 140572922, 996360517, 441284535, 890333302, 246072550, 12090887, 37610058, 418820180, 852125845, 158613765, 70864483, 996118514, 751478120, 188354045, 61647828, 660344019, 382954608, 543436482, 23757910, 191816035, 382366848, 463544171, 236926900, 476140275, 706101489, 744893627, 662459745, 196933584, 865066287, 403921577, 850330611, 126853349, 679171391, 621395072, 816823418, 873384521, 702572069, 690323791, 53627417, 373024391, 625350462, 523083864, 886035415, 639415520, 206812505, 337634376, 537962089, 824267722, 906416696, 745313951, 332990461, 926179025, 433334709, 14554679, 411083538, 988839542, 799647536, 721683633, 411668180, 671831431, 1011744935, 885530038, 429809439, 450562488, 659434838, 333367885, 818346963, 703726993, 853451104, 40940211, 644606158, 588455188, 37858198, 241819020, 307835383, 1018995154, 740963759, 785304215, 642236842, 756517295, 521652484, 1009941491, 1019633815, 162785709, 701297313, 603470947, 35831844, 202084902, 470752225, 856372641, 490024202, 71897215, 241953967, 786909598, 273307584, 354746360, 102470756, 216255477, 762428712, 282285449, 598537681, 536323555, 156278950, 677936333, 385752434, 1043378199, 1008648775, 276692008, 999085225, 136073675, 276334732, 578281853, 786947991, 104150382, 599546760, 1018802513, 918879070, 765240431, 76069284, 277593518, 617133498, 881436458, 885711550, 643926872, 856103455, 347930116, 318421342, 479254483, 439521373, 615565725, 495395244, 691132660, 18447242, 78810146, 1066811871, 851420025, 827939649, 83556696, 525934579, 445900166, 1025057438, 446365875, 705455180, 28193884, 458881325, 243232486, 578215220, 592011111, 950368446, 351161298, 1035240518, 53148510, 162228693, 435926173, 913557646, 231682686, 91584477, 360565715, 494193652, 783480745, 335867094, 154104119, 656338148, 103380268, 166417737, 698770347, 1066559881, 769042527, 13282210, 99200958, 410454977, 142872726, 351253325, 49951661, 193868632, 131593816, 129174003, 981059608, 564357206, 363206215, 378706529, 890365932, 409783736, 691427393, 821775888, 501263663, 632430402, 311418118, 457057316, 1022676789, 263245714, 768981564, 941176286, 30458131, 319491642, 1017056869, 752076281, 213756736, 796409623, 61963887, 131476229, 309547, 334395430, 616174998, 163565555, 840690139, 122161260, 85551333, 265708155, 184078184, 449660044, 792999881, 516868435, 360811962, 54837258, 172297114, 377963553, 90262995, 753660030, 921312494, 476421752, 279471425, 643429340, 572288077, 601777002, 669967745, 198186928, 529092098, 516112322, 189852486, 91248607, 732536926, 382380632, 193291648, 992532364, 976862815, 840854341, 822071252, 116345626, 848142198, 237689733, 83770262, 18587667, 693569334, 806823494, 251693417, 1109357, 732917897, 951318230, 421775987, 313000547, 727039341, 540634958, 7224803, 865459413, 702102595, 17085564, 894550168, 1025325756, 532269613, 426158213, 200772805, 54560950, 936400240, 726649718, 581751013, 362355455, 810437703, 62172107, 79330188, 1008819092, 946013593, 5474864, 965364492, 198126509, 60461537, 410335927, 856673523, 923431074, 155965967, 158361047, 590223470, 44937862, 1055594500, 990560270, 20017611, 59015989, 999941338, 81020171, 813909420, 146798569, 313547193, 499364597, 727365597, 697866712, 628282933, 1038885527, 674398171, 618816028, 261488815, 190298888, 227684731, 27944591, 812715345, 772803955, 191613039, 723871656, 237447156, 362687790, 334549440, 264345086, 1016971361, 142599616, 991616430, 774754141, 74260073, 505333236, 960622191, 996034102, 677796923, 314914936, 349993880, 323040157, 952011878, 263401814, 991025461, 385505758, 270290730, 80202121, 50638391, 849011187, 556193746, 658216460, 476234041, 457323271, 1055937417, 734786044, 803257784, 910217845, 899318475, 509937578, 577067284, 29145894, 772055748, 159821487, 657143902, 712349107, 14142885, 873432064, 310416024, 296602389, 220092744, 526710368, 72057243, 622946345, 1052632721, 804191275, 866815566, 338612742, 174898998, 529383575, 217400503, 355181061, 1032674908, 671816600, 933840114, 365654243, 95414412, 284011527, 966921790, 662501861, 545216898, 3817101, 1002801337, 513660207, 669902463, 287794756, 591564182, 685533412, 338770828, 6045323, 875360282, 1049637356, 21523873, 730806242, 52319436, 547942974, 378620424, 301531599, 942884253, 360493824, 923476962, 608107234, 1017318337, 549079539, 68301018, 707377007, 234304972, 374316092, 496916075, 723166735, 338234602, 913684413, 839828473, 142794532, 924280626, 308334715, 97579907, 461079316, 899527835, 135140758, 944255812, 1043272378, 716436418, 991506750, 611548913, 132016123, 612824758, 465409673, 844166169, 1048987556, 285291209, 828426430, 544640742, 1011231468, 259594502, 901670278, 250916476, 567638664, 842627886, 187952557, 627427789, 1008659977, 215129132, 83590224, 1035570091, 976402189, 316124677, 131816516, 37279954, 338339787, 782030693, 858756846, 432922520, 1064588984, 714404012, 560425658, 642104363, 1052118822, 1053319472, 158538188, 581979416, 620257844, 367437764, 404134935, 565818680, 382699071, 944289246, 618390955, 573466583, 446529820, 517257290, 655465691, 234883018, 722680338, 1047368357, 606767001, 873856546, 630426790, 549394206, 729615498, 1038579351, 503194418, 371983298, 955344068, 114638897, 544135314, 544592264, 1018825450, 309931587, 906444950, 732184889, 213056762, 891542994, 286719165, 917937827, 957462650, 558423034, 708679597, 291604543, 723322373, 50576379, 490063679, 951792775, 582527822, 33564659, 238345065, 500457575, 698900577, 965235897, 672010192, 95361743, 218552098, 687914659, 487839330, 1063978677, 379318006, 781448348, 311282980, 493310860, 892355078, 1014360591, 452466022, 226421533, 577752016, 482967200, 887916030, 1073118045, 969342159, 504317855, 160168689, 272919573, 609450080, 848907099, 58314794, 546023667, 968546676, 528936580, 77632060, 947221393, 832148792, 116915015, 62840207, 788875166, 34199925, 474482980, 592033162, 317419773, 189380230, 654997670, 415976964, 672022292, 888934859, 564221804, 221134696, 375314444, 686623385, 179302076, 547877048, 681798841, 590110486, 418061730, 738662991, 982927479, 981546657, 195927945, 877852250, 639350378, 583207267, 754171659, 402746649, 893674030, 765847906, 732222914, 775629470, 63408430, 70667041, 1011154315, 706412638, 799435088, 124997227, 313808191, 453269229, 583776755, 1072971417, 995603947, 338358087, 116745804, 579127459, 571741115, 314848635, 171377067, 483768841, 64810909, 682104552, 771604771, 811437830, 592226343, 341469329, 124578229, 650923549, 148403929, 728986480, 7843013, 38974442, 1022974685, 563799539, 730830069, 940484835, 955784011, 405545986, 246919587, 427486853, 660018137, 177895024, 184282963, 1021304189, 850821412, 939276827, 757926178, 250175857, 968540461, 174413774, 985811420, 951516555, 32531050, 83440932, 188641701, 903234150, 554389224, 45278084, 615180852, 935663100, 367366906, 924157561, 460857797, 1028485001, 822200198, 1072670249, 662251406, 793955967, 3921092, 770297243, 869818778, 98082142, 57583091, 163683510, 788297767, 430803846, 549665790, 281252923, 34462502, 579374787, 13944103, 225476919, 296682886, 986505309, 650129271, 899581478, 99840077, 975235280, 369564899, 402768787, 231828235, 30722169, 111120781, 54937831, 986127522, 683396347, 584902507, 582848383, 962856274, 128518865, 317142135, 625518158, 1037986566, 787868120, 208123705, 768265068, 1018218037, 615859751, 906308864, 946509501, 934538470, 636268838, 781668485, 1005209782, 34366840, 276813550, 556659289, 337839704, 856240276, 778607145, 454275721, 959341516, 117899150, 265262164, 215234659, 710432362, 806486477, 6365536, 236812853, 852826848, 321038309, 2199084, 117227593, 1033446172, 668581905, 946185353, 370513026, 597398105, 644636180, 448542235, 314040591, 290637588, 508161035, 968939964, 972750976, 1068155087, 223293769, 303833555, 725829141, 296563152, 769086080, 82937325, 939239883, 512188554, 371132777, 311354964, 202668342, 901836886, 959482679, 810366568, 654023233, 71099022, 771162156, 109764755, 1052096512, 509988740, 577999377, 4279425, 960384213, 791220313, 387478229, 1016623166, 884756177, 148649333, 804839523, 528728166, 527641542, 34620278, 323315678, 176670703, 465334097, 297881547, 674226677, 907916681, 160089295, 458065093, 255082913, 1027716595, 933951589, 867697489, 46453086, 719893858, 863580797, 442665899, 45982624, 317396077, 715539298, 750740392, 1069333128, 585486193, 434675072, 215546895, 547577933, 861914894, 253094692, 480216811, 203632032, 151707986, 622458043, 432437092, 81198906, 114986405, 925437264, 121095358, 337592785, 1038178262, 600328097, 115664400, 645502517, 383699693, 702771585, 47500504, 282130414, 1057610129, 893363890, 395831044, 659916975, 1704194, 1003460130, 388129094, 822467797, 848546348, 52220865, 531208910, 588260289, 272935794, 274425312, 600270839, 539410919, 345349255, 820673352, 603771164, 396225523, 461961581, 1072817975, 697051401, 638340964, 556611602, 578805232, 946250405, 369833352, 89739130, 613206474, 355254079, 521998484, 720357610, 184369084, 167103037, 494859734, 541934318, 847675459, 572081194, 746568845, 760105185, 167157472, 718170819, 1022093688, 368491723, 96976141, 136124860, 303538542, 792519899, 740428341, 573046688, 533498695, 955884161, 783761242, 749302557, 267708023, 811014588, 409257027, 970285926, 230715676, 516621764, 606661518, 659982708, 803003982, 834604332, 569037015, 638521657, 1049330493, 289577067, 636194122, 487081957, 522422071, 220247854, 220004834, 124611291, 590683291, 664895975, 782877601, 742358600, 770610504, 295053459, 402502574, 892313060, 471228258, 787138304, 359815279, 708089288, 695463363, 364139091, 762524283, 979595429, 670626517, 824928967, 540343271, 1053545415, 172534371, 285558820, 110073710, 769365663, 341202409, 320318975, 390597236, 964507901, 144074501, 392435768, 1019308450, 1046361132, 348956587, 913631740, 107212273, 832317535, 771601565, 1050172135, 235133447, 225223197, 836557079, 93927629, 221533478, 449839847, 723278833, 113593547, 57901396, 608686232, 863583792, 879869871, 1006153264, 642051619, 871534260, 69155119, 902995773, 434210428, 924730456, 100150858, 411146574, 1017756281, 694143829, 274125365, 511528628, 343240180, 657910592, 776874525, 430675867, 880638557, 202548436, 740240042, 883544027, 529122241, 199514107, 502269132, 109312159, 293438729, 736349401, 379382099, 843172525, 766393418, 638316124, 619211719, 953703183, 676448477, 552038885, 636792903, 653483783, 788289113, 352880742, 287665916, 127805248, 876062667, 891930667, 127206491, 250813552, 401708954, 424553406, 490752930, 507971650, 942967349, 189627772, 602096856, 90132184, 468738841, 793283290, 903348390, 478579490, 763798999, 1046792294, 113033477, 193913039, 888387515, 454917755, 83002341, 20910764, 541550839, 972031936, 830538980, 82644511, 99699652, 919763394, 142220418, 805460154, 44470722, 1064151874, 50391594, 204277737, 118203860, 301426905, 342873185, 811734584, 325905691, 551059143, 1016870292, 1062600613, 659258074, 419824456, 460613075, 577990342, 114069061, 486523794, 62422201, 838855116, 774550413, 552240441, 635667406, 934641890, 483781537, 834475953, 570908445, 91796747, 128633192, 243499427, 755634005, 240649522, 361304064, 790609760, 806472102, 833813741, 631347878, 634137060, 530477520, 198833080, 539956145, 544804985, 711263920, 443108054, 196080066, 185975009, 653412477, 619683122, 677713842, 875941646, 184599768, 676423703, 302100612, 663689175, 328551457, 1025742830, 13398681, 180982750, 1021181386, 791866542, 774720226, 228176958, 425802957, 1064711921, 536279153, 978998366, 761331497, 579775520, 1065048131, 987473995, 681249842, 478768156, 419087052, 822267266, 1019191005, 76258708, 240784803, 1064698870, 55211304, 262262827, 44982849, 106171314, 187169985, 329313355, 5248011, 88679836, 578923726, 103631439, 457564760, 483265658, 922776687, 73234400, 135406206, 982584701, 864124395, 123215976, 7282637, 257981323, 414995395, 775446984, 491089641, 82432215, 187986260, 989931462, 596081553, 202707077, 280425454, 471320938, 993037783, 359108612, 721737187, 87916590, 269391971, 263618517, 708904781, 66489550, 151776362, 637238566, 452107973, 579936045, 581846495, 880383957, 505876284, 779000777, 764380630, 698357187, 940785514, 956629808, 410861267, 762780111, 371262604, 308064461, 87392838, 893155664, 1067352791, 772923087, 822861574, 1015803878, 750263749, 388518976, 890652018, 54806920, 954560350, 4545257, 993210647, 964249723, 671910826, 234198709, 461418558, 1061452919, 970206415, 596519188, 253085336, 631855179, 761571371, 552393107, 752561280, 240576477, 586512162, 574529773, 80233903, 550917818, 111260878, 165681475, 484132899, 947644139, 708034878, 268226765, 13753011, 684967905, 152162482, 17318261, 80539839, 609611891, 452429237, 907253837, 309625382, 913822878, 867165890, 376741009, 569501571, 840771170, 121148696, 507812522, 795109929, 367689751, 342108041, 981666391, 667092931, 454368130, 359608324, 671963569, 274938111, 698041911, 514369344, 451633957, 543977863, 359183955, 226862631, 557584018, 481871357, 217643514, 205718439, 776770640, 1055533414, 1630836, 383069013, 384936529, 781458704, 976127493, 594727742, 454115764, 192316796, 209662824, 287904754, 172983766, 179550845, 416570385, 394702505, 492964652, 193900281, 406601240, 378892207, 114402794, 84522859, 447620395, 554795445, 553154535, 129129178, 54838798, 456394659, 653884112, 961939083, 554108435, 1017825737, 827076564, 958505996, 977174631, 356638884, 84269269, 167368826, 731872983, 312906030, 755450469, 228995662, 1032073104, 1024393329, 120271533, 245730387, 854127876, 657913312, 313715375, 246257681, 668848972, 316729968, 277609196, 163374349, 419176785, 436303960, 698196065, 1049605873, 303489220, 78004040, 570395999, 986197101, 361622368, 262921373, 508065834, 818460519, 313805089, 289427788, 782392253, 742685159, 260967937, 345615426, 216181566, 65894637, 717084129, 16385967, 77763647, 925582980, 210098963, 905600470, 5149522, 447236038, 301496714, 723904851, 88541780, 85588698, 100398445, 860522243, 19600875, 1023786082, 99493853, 499002037, 269399257, 436317612, 1017332745, 510324525, 382949224, 150350571, 530142027, 463113693, 295365840, 635314105, 754579190, 620862680, 721716542, 1013717788, 186750417, 1061679735, 410647464, 952040541, 433937672, 493642473, 661827580, 922750439, 377407223, 137370196, 266755912, 745882322, 417087842, 48417583, 43003262, 187333754, 124318419, 913950049, 318832962, 513758072, 816394282, 496707932, 826059845, 630111218, 339965381, 424933229, 470542502, 637672878, 16180233, 920030961, 1009751806, 210758591, 572772419, 213704044, 491693476, 686546420, 731346126, 289159175, 36853702, 395197140, 185190989, 981931743, 600012250, 215099763, 763787640, 278830171, 277563812, 647110145, 115668562, 800174020, 32397023, 423878896, 24924089, 931571135, 588229250, 901120036, 856411769, 847756491, 822474246, 682821922, 71738444, 302052207, 433850576, 263268080, 272347223, 469154658, 886704086, 257123420, 105459171, 504526103, 1054468137, 963708146, 396485836, 314205882, 665775872, 479843372, 1010597703, 717905751, 20767606, 409386338, 729629558, 194537633, 1005483327, 832109939, 435558498, 266801236, 110979250, 266092006, 695785058, 753241616, 407149574, 472184744, 172873978, 262268390, 144761479, 233918638, 14164845, 1014771960, 273442277, 233232819, 784636252, 707125736, 190805276, 464342596, 1018948000, 698763840, 800838786, 1047874295, 724763736, 133635147, 789719474, 216796539, 942393104, 13463543, 1064351802, 487142789, 493786005, 461429739, 313201706, 152982955, 387893478, 1013192338, 383731445, 296317950, 466744748, 140690636, 112948245, 49889093, 445745570, 483048712, 961282090, 924452037, 760589061, 21564195, 875588724, 363579423, 866156195, 914186552, 581331307, 475915965, 794568546, 963786295, 279634111, 775314859, 999264885, 909932324, 404068948, 553325130, 62478028, 732514725, 199030641, 478899307, 871887242, 869927347, 329638006, 1008140304, 397100154, 742250026, 37963854, 693944697, 602157384, 609856324, 594376058, 103007213, 37175233, 228454130, 958494199, 1066499854, 962354716, 66423645, 470324226, 37363804, 327436912, 551814351, 514523161, 619480602, 542679307, 830060543, 1065223541, 608547956, 777529991, 746234957, 337539175, 931840941, 1024519057, 1045936109, 922456806, 235307708, 146876153, 191954559, 651822582, 97038044, 970326327, 752197466, 931351652, 646369101, 43281995, 1047689072, 61790722, 351040659, 117622263, 17086395, 479627515, 378470069, 397084817, 365153046, 246054736, 309615765, 261222078, 86011176, 379009075, 644324644, 916198417, 339110992, 502804837, 140226607, 414721236, 292649819, 480843519, 334122886, 591639004, 366717798, 758876610, 361959402, 707676943, 537992369, 698236569, 333472738, 106062715, 535872787, 763375508, 268604861, 39071370, 869429774, 794014515, 596836006, 1044836332, 365569407, 578685026, 320880077, 932738558, 924545309, 964097030, 593882680, 137900186, 999091326, 890262868, 496837449, 511333535, 782236618, 389212354, 280918545, 819966232, 470008996, 878545693, 947807645, 521614373, 575102786, 1072486065, 766005671, 460966918, 763088549, 154592112, 696743454, 847779056, 887721980, 1024665488, 772076499, 1057314597, 95544422, 693280327, 160702995, 673944253, 646910645, 605533760, 1041393949, 393126097, 956098821, 91184203, 107922472, 1039978594, 104207993, 310263573, 386188456, 642720374, 988356004, 37989450, 480018754, 524934156, 892388733, 532837521, 558732304, 540904043, 749672200, 437471368, 277680190, 456867103, 277618298, 138782736, 629951044, 81183326, 285034943, 566867964, 291615962, 722351890, 517320186, 271680085, 1017029333, 56537519, 917685967, 594753426, 967531314, 1003801433, 264074312, 516726128, 973215314, 733918440, 145002139, 22700244, 244326508, 346538264, 481819412, 550559181, 257931201, 719437129, 910968944, 641754832, 899701957, 400321516, 500279080, 117796851, 824023068, 262713234, 650437084, 1019251152, 165498951, 1059865185, 777171305, 797683708, 445330801, 940316413, 785334789, 261614776, 625572027, 79745150, 251526533, 691068436, 783384733, 297918263, 609441753, 871987981, 484236075, 716704530, 332304366, 286452286, 539215623, 227329518, 25424189, 9271972, 674459578, 668513660, 163025739, 684146408, 740699200, 565636377, 1032215195, 602407141, 913329907, 917740695, 127570135, 31516424, 943132018, 184850221, 294496774, 22370885, 521151174, 632318105, 649504205, 742971186, 779335075, 390282648, 776527222, 900579909, 445629811, 679839158, 231953434, 592754199, 953103378, 387419839, 689490408, 463641699, 600278938, 834298539, 129800037, 626535010, 457898897, 164858810, 435214870, 27592368, 650578504, 111093437, 906454623, 47084492, 363275112, 652514187, 734041171, 876106560, 848079331, 183297201, 577690761, 208766011, 500343055, 44939532, 887989520, 637839282, 453661739, 907878368, 879461208, 1039054924, 549769249, 166921307, 637734864, 1042510922, 705923659, 579718358, 211233298, 798402671, 358578983, 819079401, 46219986, 729819270, 344527267, 848314010, 448419773, 1019080691, 608232450, 968802161, 538313274, 90853540, 502282010, 977173838, 1004420421, 590037115, 891678691, 678164300, 634158703, 800940464, 702190548, 502063960, 1008261188, 614014331, 733640738, 31299013, 563359182, 183813056, 860027852, 489193486, 410232316, 539083468, 1068417399, 826792609, 114496953, 746493091, 148116317, 463063892, 157941712, 731850642, 142557525, 441453865, 216318485, 893332865, 1069373009, 1038180835, 27209356, 555457585, 10776446, 979726969, 1022921691, 362097252, 922610391, 452962871, 291216151, 798524449, 94669935, 740152144, 1060434275, 953666849, 54622156, 408650868, 442240272, 370416379, 459495144, 129452628, 759751400, 137864450, 488931548, 770839244, 181131614, 150008466, 264544052, 588404015, 657276079, 53857786, 857830053, 105430982, 495881878, 417901844, 909828364, 173640249, 246049300, 34928441, 53361482, 660792911, 897243293, 1052595532, 583052454, 622572188, 496410476, 386181928, 302389973, 742960859, 286575935, 408078739, 269520727, 430880618, 963473831, 761747204, 659797271, 750590609, 125205551, 434911623, 973270322, 517242665, 690965560, 433549933, 125457716, 487155372, 831004540, 874103675, 573521065, 643495551, 760047534, 551639315, 679425384, 100224838, 708475898, 455987846, 179160959, 683311639, 624289138, 919886653, 603510321, 654657421, 999341513, 205174782, 634867848, 122078976, 930659446, 964839651, 894832068, 683303878, 426602111, 535581802, 748852348, 575166543, 202898357, 377906232, 546953190, 719328144, 275988651, 385109678, 732340295, 228149948, 825482634, 145319182, 93931520, 655919023, 539519866, 1045540523, 751930978, 106762674, 406490289, 93578737, 857834407, 1014656721, 647106831, 1029559040, 399541826, 884749332, 909540443, 294731416, 539078116, 231317776, 204527581, 995322133, 381376908, 344295627, 945445091, 156014604, 180971261, 3640182, 159862827, 637994727, 244664728, 851229037, 17435485, 876336936, 442112695, 517575042, 382542218, 699601160, 791005097, 729825162, 780694508, 635380796, 890191957, 833233831, 492867449, 994953815, 888822896, 1055764104, 243774660, 231768168, 472374060, 166653218, 48336518, 430649336, 957938541, 124518616, 181775105, 194112749, 438325471, 569356086, 112616517, 499522976, 153234794, 335929422, 803279750, 377359296, 905617527, 1007851191, 220625531, 749070097, 592692737, 655275279, 444652863, 1066833554, 608787633, 394825556, 252322626, 967278640, 409426047, 663026704, 1040467824, 243195907, 483597935, 700236707, 991154925, 435776846, 612990411, 587355311, 568988974, 922882807, 807947800, 186892435, 734820383, 808133936, 695015315, 155676015, 935811012, 407939938, 717012919, 703838022, 924421973, 735214463, 317132322, 133081954, 508734120, 474928621, 734310679, 401092102, 558737704, 537099417, 1026538977, 687554767, 567822247, 505142040, 825720578, 348268031, 353422843, 766421726, 264234055, 269493593, 1007062920, 369391375, 543473067, 95296340, 965164462, 645075120, 718321986, 916756765, 954919362, 865474519, 584256324, 815990997, 659375568, 801653728, 959545373, 473259736, 617711124, 368974616, 432513145, 914317658, 69422408, 154228574, 806218414, 608294166, 540731680, 101635351, 793088226, 1027766350, 976379861, 555548819, 296406715, 791160230, 424454003, 775923459, 766431110, 616128607, 162484050, 1053745961, 3620843, 676426409, 316900167, 802339316, 917370137, 541911563, 55560948, 280235565, 370714529, 515957588, 713389650, 343644140, 417512246, 514639863, 504645253, 19825404, 85083673, 701431114, 41722123, 548319923, 278468699, 888725858, 965008636, 383428824, 339410516, 832732650, 997719674, 1007942736, 958151696, 1037603557, 536115169, 454901104, 1008636389, 276410160, 635291735, 208758943, 373500499, 994926226, 859363931, 953822215, 608098079, 174827635, 443315272, 113730256, 652271499, 636743404, 590505556, 86681412, 426357605, 5449683, 586536887, 591719052, 755037183, 965944658, 441716125, 490593137, 720205337, 552672869, 677736003, 467567336, 219638665, 74531173, 423099019, 439755159, 276337840, 648567511, 44516104, 790198468, 867521439, 279679197, 455473555, 635599101, 887631050, 821955899, 604321012, 604085817, 254822713, 724025233, 684558322, 590779988, 613176777, 847360583, 839228216, 38031728, 1022507283, 855212777, 745974025, 962896854, 838144208, 187547198, 98852599, 1050482389, 777790662, 128556793, 814096528, 175776204, 726249574, 454804641, 846170958, 649740572, 379092795, 603766284, 825155043, 1044287230, 183708458, 989304891, 338777540, 356956774, 690574660, 286907174, 797419734, 907342475, 45015572, 901676312, 571580578, 821194481, 121776932, 267176167, 297106406, 405630049, 964045216, 977073546, 27459889, 137506766, 438514616, 303318403, 946318777, 992439465, 506277384, 365138718, 1071696046, 661941981, 489922881, 444426706, 222722114, 20328371, 257392943, 702425528, 429470903, 649000955, 896132285, 762490920, 387161484, 56405641, 929557279, 467744524, 3271649, 212650053, 694101903, 996620675, 232939103, 443921921, 147515362, 442042937, 891607781, 569424927, 374432358, 25895226, 1063040050, 636735645, 363948997, 99748725, 637528289, 89861873, 388140452, 613461166, 334093146, 670301560, 499610615, 478568253, 940527975, 88213059, 801139138, 78933694, 524335886, 54773892, 898857141, 68853034, 53586801, 777855604, 837562487, 776994171, 503980510, 60065286, 250235224, 627826146, 511360283, 441199653, 982492017, 1006841172, 220208635, 633325199, 427407309, 248948951, 71616723, 139698207, 379089902, 549256016, 937603010, 69425017, 241142455, 555953667, 43968712, 586924919, 309711930, 205401771, 156799191, 698643977, 951628089, 348009152, 801002696, 561708894, 419621562, 596832758, 186222773, 57161462, 1006477806, 432774686, 198459019, 659144443, 962595725, 345320963, 107114098, 683723902, 591762665, 540866494, 1051672944, 1041845092, 1046561905, 617533938, 84877407, 1054678803, 557208812, 663901353, 51531574, 366921493, 395604133, 483229248, 540646846, 1012669082, 1029575315, 313491859, 329678350, 334390094, 188236364, 536493389, 1300828, 984162302, 109961309, 13432200, 335753696, 890249590, 291907158, 990989119, 55894270, 184720436, 20148495, 669318103, 510673255, 964992349, 491196511, 818269946, 342550555, 198062083, 528707780, 229762343, 522553031, 940384008, 55067932, 220134098, 498746604, 830715352, 824827619, 280541778, 484960838, 415707328, 195551722, 951515974, 123373587, 574657112, 696551706, 735841790, 443247958, 402640713, 616100342, 796335090, 509573319, 398088473, 185200193, 429853969, 451188950, 615790768, 151504487, 293561740, 183748757, 722736994, 1050344085, 692354725, 1048776107, 988462274, 1023239517, 902040133, 884399385, 141940289, 325599080, 386629880, 580973177, 479883828, 970752729, 23939491, 434854498, 142863121, 753826231, 989736166, 840293709, 196074144, 706645107, 975011261, 82532639, 657584743, 347049982, 696444823, 413366314, 177700985, 764778348, 43150343, 360169693, 1025978710, 585035373, 457350238, 807110021, 329104568, 581820466, 747983623, 286400572, 756427681, 1051476385, 860979637, 253444337, 566212577, 59032452, 843886073, 206688262, 813711250, 873497936, 637013493, 73256132, 1040599280, 759862134, 521637502, 317596725, 244021107, 200297284, 924524548, 371239187, 126776961, 423114097, 770845784, 159620023, 347314653, 1032671694, 885864941, 252442711, 722467263, 162708527, 291274216, 643381100, 331009471, 624012418, 880273619, 336571233, 148797914, 330392777, 316589058, 274080908, 877523778, 422708027, 879219709, 130071409, 772551424, 66873062, 1067849543, 646106588, 108967696, 148488633, 972353623, 151248628, 34296378, 101137198, 171281210, 309089322, 361486095, 378072461, 331780006, 623500915, 801796308, 873145473, 988394086, 142323831, 426086779, 399888595, 218774578, 747696550, 825718255, 231436821, 881190832, 94961535, 1064801085, 882537549, 168879555, 282185022, 178692977, 143306086, 826792047, 206952630, 809947204, 94778880, 688489036, 26799692, 358473969, 1046415486, 836862815, 152107687, 842752506, 396435453, 932592485, 583318416, 229958455, 938969042, 944954343, 99574976, 389779115, 1073067379, 350798634, 1033377565, 509325542, 290493350, 802629763, 8507293, 1038370811, 252843545, 973199317, 174515399, 135001054, 880993205, 531667613, 435390066, 806339825, 1065223210, 333547641, 386834950, 79349897, 634911206, 251337315, 54466297, 1002974801, 878582494, 336856262, 312451481, 78058563, 495839090, 252371501, 698872381, 954774068, 302429078, 481226577, 538860389, 647396681, 305918734, 383064971, 229252801, 189413838, 457251935, 782876061, 207102763, 65653771, 125116539, 679454128, 234911646, 243053891, 552982304, 113108507, 213907931, 26046238, 875344282, 652786894, 58105232, 810796559, 823515607, 518091703, 455786095, 959963588, 1031786660, 261408992, 205784753, 234874605, 778815977, 923408926, 528635408, 25043929, 35319657, 959437001, 651522446, 157249786, 907664886, 754342156, 774929461, 191833296, 652284125, 874937272, 385356940, 106427137, 670624364),21878), 134213631) + } + +} diff --git a/minimize_result_by_adding_parentheses_to_expression/.DS_Store b/minimize_result_by_adding_parentheses_to_expression/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..ff7848110d1caae2d6d2357649ebecd9ce9a5591 Binary files /dev/null and b/minimize_result_by_adding_parentheses_to_expression/.DS_Store differ diff --git a/minimize_result_by_adding_parentheses_to_expression/haskell_tests/Main.hs b/minimize_result_by_adding_parentheses_to_expression/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..e8e027d49bba0e392da4382a08c27161a43a0476 --- /dev/null +++ b/minimize_result_by_adding_parentheses_to_expression/haskell_tests/Main.hs @@ -0,0 +1,27 @@ + +module Main where +import Test.HUnit + +--Program start + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minimizeResult \"247+38 \")," "2(47+38)" (minimizeResult "247+38")) + +test2 :: Test +test2 = TestCase (assertEqual "for (minimizeResult \"12+34 \")," "1(2+3)4" (minimizeResult "12+34")) + +test3 :: Test +test3 = TestCase (assertEqual "for (minimizeResult \"999+999 \")," "(999+999)" (minimizeResult "999+999")) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimize_result_by_adding_parentheses_to_expression/java_tests/Main.java b/minimize_result_by_adding_parentheses_to_expression/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..b7993622f6cca3b66169e009c555edf6dfbaf7ae --- /dev/null +++ b/minimize_result_by_adding_parentheses_to_expression/java_tests/Main.java @@ -0,0 +1,25 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +import java.util.ArrayList; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals("247+38", minimizeResult("247+38")); +} +@Test +public void test2() { + assertEquals("12+34", minimizeResult("12+34")); +} +@Test +public void test3() { + assertEquals("999+999", minimizeResult("999+999")); +} + +} diff --git a/minimize_result_by_adding_parentheses_to_expression/meta.json b/minimize_result_by_adding_parentheses_to_expression/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..154325916da85363b90ff1f3deecd6a5fb910eff --- /dev/null +++ b/minimize_result_by_adding_parentheses_to_expression/meta.json @@ -0,0 +1,72 @@ +{ + "id": 2328, + "name": "minimize_result_by_adding_parentheses_to_expression", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/minimize-result-by-adding-parentheses-to-expression/", + "date": "1648944000000", + "task_description": "You are given a **0-indexed** string `expression` of the form `\"+\"` where `` and `` represent positive integers. Add a pair of parentheses to `expression` such that after the addition of parentheses, `expression` is a **valid** mathematical expression and evaluates to the **smallest** possible value. The left parenthesis **must** be added to the left of `'+'` and the right parenthesis **must** be added to the right of `'+'`. Return `expression`_ after adding a pair of parentheses such that _`expression`_ evaluates to the **smallest** possible value._ If there are multiple answers that yield the same result, return any of them. The input has been generated such that the original value of `expression`, and the value of `expression` after adding any pair of parentheses that meets the requirements fits within a signed 32-bit integer. **Example 1:** ``` **Input:** expression = \"247+38\" **Output:** \"2(47+38)\" **Explanation:** The `expression` evaluates to 2 * (47 + 38) = 2 * 85 = 170. Note that \"2(4)7+38\" is invalid because the right parenthesis must be to the right of the `'+'`. It can be shown that 170 is the smallest possible value. ``` **Example 2:** ``` **Input:** expression = \"12+34\" **Output:** \"1(2+3)4\" **Explanation:** The expression evaluates to 1 * (2 + 3) * 4 = 1 * 5 * 4 = 20. ``` **Example 3:** ``` **Input:** expression = \"999+999\" **Output:** \"(999+999)\" **Explanation:** The `expression` evaluates to 999 + 999 = 1998. ``` **Constraints:** `3 <= expression.length <= 10` `expression` consists of digits from `'1'` to `'9'` and `'+'`. `expression` starts and ends with digits. `expression` contains exactly one `'+'`. The original value of `expression`, and the value of `expression` after adding any pair of parentheses that meets the requirements fits within a signed 32-bit integer.", + "public_test_cases": [ + { + "label": "Example 1", + "input": "expression = \"247+38\"", + "output": "\"2(47+38)\" " + }, + { + "label": "Example 2", + "input": "expression = \"12+34\"", + "output": "\"1(2+3)4\" " + }, + { + "label": "Example 3", + "input": "expression = \"999+999\"", + "output": "\"(999+999)\" " + } + ], + "private_test_cases": [ + { + "input": "69+1", + "output": "6(9+1)" + }, + { + "input": "5+57888", + "output": "(5+5788)8" + }, + { + "input": "2281+9868", + "output": "(2281+9868)" + }, + { + "input": "718+2", + "output": "7(18+2)" + }, + { + "input": "9+1776", + "output": "(9+177)6" + }, + { + "input": "75+59239", + "output": "(75+592)39" + }, + { + "input": "2+925", + "output": "(2+9)25" + }, + { + "input": "3347+15", + "output": "3(347+15)" + }, + { + "input": "89337+98", + "output": "89(337+98)" + }, + { + "input": "376+635", + "output": "(376+635)" + } + ], + "haskell_template": "minimizeResult :: String -> String\nminimizeResult expression ", + "ocaml_template": "let minimizeResult (expression: string) : string = ", + "scala_template": "def minimizeResult(expression: String): String = { \n \n}", + "java_template": "public static String minimizeResult(String expression) {\n\n}", + "python_template": "class Solution(object):\n def minimizeResult(self, expression):\n \"\"\"\n :type expression: str\n :rtype: str\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimize_result_by_adding_parentheses_to_expression/ocaml_tests/main.ml b/minimize_result_by_adding_parentheses_to_expression/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..fca5f2b641178deba73886e24f2e9e051f51ecfa --- /dev/null +++ b/minimize_result_by_adding_parentheses_to_expression/ocaml_tests/main.ml @@ -0,0 +1,29 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal "2(47+38)" (minimizeResult "247+38") + +let test2 _ = assert_equal "1(2+3)4" (minimizeResult "12+34") + +let test3 _ = assert_equal "(999+999)" (minimizeResult "999+999") + + + (* Grouping test cases *) + let suite = "Test Suite for minimizeResult" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimize_result_by_adding_parentheses_to_expression/scala_tests/MySuite.scala b/minimize_result_by_adding_parentheses_to_expression/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..4147ffaa36dc513a44951d6dd38ec04fafa7fd07 --- /dev/null +++ b/minimize_result_by_adding_parentheses_to_expression/scala_tests/MySuite.scala @@ -0,0 +1,16 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimizeResult("247+38"), "2(47+38)") + } + + test("test2") { + assertEquals(Main.minimizeResult("12+34"), "1(2+3)4") + } + + test("test3") { + assertEquals(Main.minimizeResult("999+999"), "(999+999)") + } + +} diff --git a/minimize_string_length/haskell_tests/Main.hs b/minimize_string_length/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..6f260a70803b17c1d1b1371caeb595e115d57ce7 --- /dev/null +++ b/minimize_string_length/haskell_tests/Main.hs @@ -0,0 +1,47 @@ + +module Main where +import Test.HUnit + +--Program start +minimizedStringLength :: String -> Int +minimizedStringLength s = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minimizedStringLength \"aaabc \")," 3 (minimizedStringLength "aaabc")) + +test2 :: Test +test2 = TestCase (assertEqual "for (minimizedStringLength \"cbbd \")," 3 (minimizedStringLength "cbbd")) + +test3 :: Test +test3 = TestCase (assertEqual "for (minimizedStringLength \"baadccab \")," 4 (minimizedStringLength "baadccab")) + +test4 :: Test +test4 = TestCase (assertEqual "for (minimizedStringLength \"tcvpsshshoempgosrmzprwdcqyjxtubmrctsxiplwhdnvnzl \")," 23 (minimizedStringLength "tcvpsshshoempgosrmzprwdcqyjxtubmrctsxiplwhdnvnzl")) + +test5 :: Test +test5 = TestCase (assertEqual "for (minimizedStringLength \"zbdiihopkvppoyujbpqwlazodrulomflmeektpolhnlinorgkoabhesiufhjxyouoayxffbs \")," 25 (minimizedStringLength "zbdiihopkvppoyujbpqwlazodrulomflmeektpolhnlinorgkoabhesiufhjxyouoayxffbs")) + +test6 :: Test +test6 = TestCase (assertEqual "for (minimizedStringLength \"bfregovatvtfocylmcrvldljokensrvtuasjblfrppljuafmpanfvdvjmhijjzrevithz \")," 23 (minimizedStringLength "bfregovatvtfocylmcrvldljokensrvtuasjblfrppljuafmpanfvdvjmhijjzrevithz")) + +test7 :: Test +test7 = TestCase (assertEqual "for (minimizedStringLength \"daokppkqwypwzrcyoxpqayzqabuxbgafmehmrmcqpowltebbzcqkgxndvblvnrxatq \")," 23 (minimizedStringLength "daokppkqwypwzrcyoxpqayzqabuxbgafmehmrmcqpowltebbzcqkgxndvblvnrxatq")) + +test8 :: Test +test8 = TestCase (assertEqual "for (minimizedStringLength \"wqrl \")," 4 (minimizedStringLength "wqrl")) + +test9 :: Test +test9 = TestCase (assertEqual "for (minimizedStringLength \"bprwvtx \")," 7 (minimizedStringLength "bprwvtx")) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7, TestLabel "Test8" test8, TestLabel "Test9" test9] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimize_string_length/java_tests/Main.java b/minimize_string_length/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..bf11dbe6d88b0e17e771b7871415dc3a19fe9c45 --- /dev/null +++ b/minimize_string_length/java_tests/Main.java @@ -0,0 +1,24 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(3, minimizedStringLength("aaabc")); +} +@Test +public void test2() { + assertEquals(3, minimizedStringLength("cbbd")); +} +@Test +public void test3() { + assertEquals(4, minimizedStringLength("baadccab")); +} + +} diff --git a/minimize_string_length/meta.json b/minimize_string_length/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..89669b84d8665da33798271f9a51d99596829395 --- /dev/null +++ b/minimize_string_length/meta.json @@ -0,0 +1,72 @@ +{ + "id": 2825, + "name": "minimize_string_length", + "difficulty": "Easy", + "link": "https://leetcode.com/problems/minimize-string-length/", + "date": "2023-05-28 00:00:00", + "task_description": "Given a string `s`, you have two types of operation: Choose an index `i` in the string, and let `c` be the character in position `i`. **Delete** the **closest occurrence** of `c` to the **left** of `i` (if exists). Choose an index `i` in the string, and let `c` be the character in position `i`. **Delete** the **closest occurrence** of `c` to the **right** of `i` (if exists). Your task is to **minimize** the length of `s` by performing the above operations zero or more times. Return an integer denoting the length of the **minimized** string. **Example 1:** **Input:** s = \"aaabc\" **Output:** 3 **Explanation:** Operation 2: we choose `i = 1` so `c` is 'a', then we remove `s[2]` as it is closest 'a' character to the right of `s[1]`. `s` becomes \"aabc\" after this. Operation 1: we choose `i = 1` so `c` is 'a', then we remove `s[0]` as it is closest 'a' character to the left of `s[1]`. `s` becomes \"abc\" after this. **Example 2:** **Input:** s = \"cbbd\" **Output:** 3 **Explanation:** Operation 1: we choose `i = 2` so `c` is 'b', then we remove `s[1]` as it is closest 'b' character to the left of `s[1]`. `s` becomes \"cbd\" after this. **Example 3:** **Input:** s = \"baadccab\" **Output:** 4 **Explanation:** Operation 1: we choose `i = 6` so `c` is 'a', then we remove `s[2]` as it is closest 'a' character to the left of `s[6]`. `s` becomes \"badccab\" after this. Operation 2: we choose `i = 0` so `c` is 'b', then we remove `s[6]` as it is closest 'b' character to the right of `s[0]`. `s` becomes \"badcca\" fter this. Operation 2: we choose `i = 3` so `c` is 'c', then we remove `s[4]` as it is closest 'c' character to the right of `s[3]`. `s` becomes \"badca\" after this. Operation 1: we choose `i = 4` so `c` is 'a', then we remove `s[1]` as it is closest 'a' character to the left of `s[4]`. `s` becomes \"bdca\" after this. **Constraints:** `1 <= s.length <= 100` `s` contains only lowercase English letters", + "public_test_cases": [ + { + "label": "Example 1", + "input": "s = \"aaabc\"", + "output": "3 " + }, + { + "label": "Example 2", + "input": "s = \"cbbd\"", + "output": "3 " + }, + { + "label": "Example 3", + "input": "s = \"baadccab\"", + "output": "4 " + } + ], + "private_test_cases": [ + { + "input": "tcvpsshshoempgosrmzprwdcqyjxtubmrctsxiplwhdnvnzl", + "output": 23 + }, + { + "input": "zbdiihopkvppoyujbpqwlazodrulomflmeektpolhnlinorgkoabhesiufhjxyouoayxffbs", + "output": 25 + }, + { + "input": "bfregovatvtfocylmcrvldljokensrvtuasjblfrppljuafmpanfvdvjmhijjzrevithz", + "output": 23 + }, + { + "input": "daokppkqwypwzrcyoxpqayzqabuxbgafmehmrmcqpowltebbzcqkgxndvblvnrxatq", + "output": 23 + }, + { + "input": "wqrl", + "output": 4 + }, + { + "input": "bprwvtx", + "output": 7 + }, + { + "input": "dvfhbqdwlneugchiwabnoirgaocunopshqpgldaxfmiihp", + "output": 21 + }, + { + "input": "gubdzicnxwzcufaeuuqxwxwyhmabtrbnritwhqulfdybxupchiqafwflmvqztiqdaaimqzhpwmkjek", + "output": 24 + }, + { + "input": "nmhzxfmnystrhyxclscmayjaxpwzndtnxdlseuyrkwmbumqrowyskalqpvsjexibbt", + "output": 25 + }, + { + "input": "ujkydxn", + "output": 7 + } + ], + "haskell_template": "minimizedStringLength :: String -> Int\nminimizedStringLength s ", + "ocaml_template": "let minimizedStringLength (s: string) : int = ", + "scala_template": "def minimizedStringLength(s: String): Int = { \n \n}", + "java_template": "class Solution {\n public int minimizedStringLength(String s) {\n \n }\n}", + "python_template": "class Solution(object):\n def minimizedStringLength(self, s):\n \"\"\"\n :type s: str\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimize_string_length/ocaml_tests/main.ml b/minimize_string_length/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..3e1192f1a6beb391d899b6558815e9714ddf4dce --- /dev/null +++ b/minimize_string_length/ocaml_tests/main.ml @@ -0,0 +1,51 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let minimizedStringLength (s: string) : int = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 3 (minimizedStringLength "aaabc") + +let test2 _ = assert_equal 3 (minimizedStringLength "cbbd") + +let test3 _ = assert_equal 4 (minimizedStringLength "baadccab") + +let test4 _ = assert_equal 4 (minimizedStringLength "tcvpsshshoempgosrmzprwdcqyjxtubmrctsxiplwhdnvnzl") + +let test5 _ = assert_equal 4 (minimizedStringLength "zbdiihopkvppoyujbpqwlazodrulomflmeektpolhnlinorgkoabhesiufhjxyouoayxffbs") + +let test6 _ = assert_equal 4 (minimizedStringLength "bfregovatvtfocylmcrvldljokensrvtuasjblfrppljuafmpanfvdvjmhijjzrevithz") + +let test7 _ = assert_equal 4 (minimizedStringLength "daokppkqwypwzrcyoxpqayzqabuxbgafmehmrmcqpowltebbzcqkgxndvblvnrxatq") + +let test8 _ = assert_equal 4 (minimizedStringLength "wqrl") + +let test9 _ = assert_equal 4 (minimizedStringLength "bprwvtx") + +let test10 _ = assert_equal 4 (minimizedStringLength "dvfhbqdwlneugchiwabnoirgaocunopshqpgldaxfmiihp") + + + (* Grouping test cases *) + let suite = "Test Suite for minimizedStringLength" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + "test8" >:: test8; + "test9" >:: test9; + "test10" >:: test10; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimize_string_length/scala_tests/MySuite.scala b/minimize_string_length/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..622c6cf32cb581534541afbe69fdbbd44cebddf0 --- /dev/null +++ b/minimize_string_length/scala_tests/MySuite.scala @@ -0,0 +1,44 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimizedStringLength("aaabc"), 3) + } + + test("test2") { + assertEquals(Main.minimizedStringLength("cbbd"), 3) + } + + test("test3") { + assertEquals(Main.minimizedStringLength("baadccab"), 4) + } + + test("test4") { + assertEquals(Main.minimizedStringLength(",t,c,v,p,s,s,h,s,h,o,e,m,p,g,o,s,r,m,z,p,r,w,d,c,q,y,j,x,t,u,b,m,r,c,t,s,x,i,p,l,w,h,d,n,v,n,z,l,"), 23) + } + + test("test5") { + assertEquals(Main.minimizedStringLength(",z,b,d,i,i,h,o,p,k,v,p,p,o,y,u,j,b,p,q,w,l,a,z,o,d,r,u,l,o,m,f,l,m,e,e,k,t,p,o,l,h,n,l,i,n,o,r,g,k,o,a,b,h,e,s,i,u,f,h,j,x,y,o,u,o,a,y,x,f,f,b,s,"), 25) + } + + test("test6") { + assertEquals(Main.minimizedStringLength(",b,f,r,e,g,o,v,a,t,v,t,f,o,c,y,l,m,c,r,v,l,d,l,j,o,k,e,n,s,r,v,t,u,a,s,j,b,l,f,r,p,p,l,j,u,a,f,m,p,a,n,f,v,d,v,j,m,h,i,j,j,z,r,e,v,i,t,h,z,"), 23) + } + + test("test7") { + assertEquals(Main.minimizedStringLength(",d,a,o,k,p,p,k,q,w,y,p,w,z,r,c,y,o,x,p,q,a,y,z,q,a,b,u,x,b,g,a,f,m,e,h,m,r,m,c,q,p,o,w,l,t,e,b,b,z,c,q,k,g,x,n,d,v,b,l,v,n,r,x,a,t,q,"), 23) + } + + test("test8") { + assertEquals(Main.minimizedStringLength(",w,q,r,l,"), 4) + } + + test("test9") { + assertEquals(Main.minimizedStringLength(",b,p,r,w,v,t,x,"), 7) + } + + test("test10") { + assertEquals(Main.minimizedStringLength(",d,v,f,h,b,q,d,w,l,n,e,u,g,c,h,i,w,a,b,n,o,i,r,g,a,o,c,u,n,o,p,s,h,q,p,g,l,d,a,x,f,m,i,i,h,p,"), 21) + } + +} diff --git a/minimize_the_maximum_adjacent_element_difference/haskell_tests/Main.hs b/minimize_the_maximum_adjacent_element_difference/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..d3ba3f1bcaa41fbd61cf72aa9f8ecdba6b8d9373 --- /dev/null +++ b/minimize_the_maximum_adjacent_element_difference/haskell_tests/Main.hs @@ -0,0 +1,44 @@ + +module Main where +import Test.HUnit + +--Program start +minDifference :: [Int] -> Int +minDifference nums = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minDifference [1,2,-1,10,8])," 4 (minDifference [1,2,-1,10,8])) + +test2 :: Test +test2 = TestCase (assertEqual "for (minDifference [-1,-1,-1])," 0 (minDifference [-1,-1,-1])) + +test3 :: Test +test3 = TestCase (assertEqual "for (minDifference [-1,10,-1,8])," 1 (minDifference [-1,10,-1,8])) + +test4 :: Test +test4 = TestCase (assertEqual "for (minDifference [155852482, ( -1), 205273984, ( -1), 352105079, ( -1), 676990998, 220355245, 630119173, 785033767, ( -1), ( -1), 471165589, ( -1), 406639560, 321537742, 155323266, 480347933, 202550498, 355931798, 113652451, 641365132, 610075689, 269920662, 501280382, 488679666, 895630264, 738627016, ( -1), ( -1), 511758035, 880391577, 257430200, 343985332, 800390763, ( -1), 42135243, 36821987, 176406672, 95853787, ( -1), ( -1), 8909509, 458364994, 957068491, ( -1), 404556539, 318302340, 859359943, 874074948, 405885881, 46541070, ( -1), 284715633, 412682964, 726503190, ( -1), 576571795, 663934262, 141937862, 567542064, ( -1), 24938269, 617797441, 805372891, 825825392, 685085352, 776648405, ( -1), 126426801, 253655918, 133137312, 161651910, 649986976, ( -1), ( -1), 93101424, ( -1), 289138065, 9385552, 48135410, 450907272, 3602831, 944279429, ( -1), 696375923, 918845419, 409799339, ( -1), ( -1), 696979921, 270949192, 717981256, ( -1), ( -1), 431294182, 681333088, 929565541, 574715368, ( -1), ( -1), 720691769, 142662666, ( -1), 812798723, 88113306, 751224517, ( -1), 778112862, 178785814, 405686943, ( -1), 496682258, 921247338, 548982676, 986124436, ( -1), ( -1), 3902300, 942668248, 958610270, 912781918, 990695702, 199416203, 572461540, 848393460, ( -1), 37511148, 6652022, 399349486, 58465154, 496215626, 774338871, 215651417, 224315967, ( -1), 591816003, ( -1), ( -1), 182754769, ( -1), ( -1), 658941988, ( -1), 971441704, 232824930, 406783410, 421133944, 720174809, ( -1), ( -1), 31662928, 115229020, 742073631, 811699720, ( -1), 73436407, ( -1), 983026508, 988769379, 520375829, 821093640, 594064875, 915985366, 207768962, ( -1), 971282877, ( -1), 900781515, 585333637, 787382313, 429817521, 771287682, 880291078, 688892978, ( -1), ( -1), ( -1), ( -1), 859283457, 222128351, 364885003, 435520334, 815652824, ( -1), 319838497, ( -1), 425757766, ( -1), ( -1), ( -1), 977672551, 398319389, ( -1), 84781521, 772431493, 29830095, ( -1), ( -1), ( -1), 321132968, 11320604, 908744256, 827969051, 546151071, 930088374, 48831052, 773259590, 225287223, ( -1), ( -1), 922880297, 553350124, 625040268, 810559065, 316633489, 894499989, 517670845, 87293421, ( -1), 521352115, 679580398, ( -1), 717094256, ( -1), 93976134, ( -1), 689596023, 66136104, 740032670, 430762910, ( -1), 734230232, 342552162, 119016340, 56433536, 268138471, 656896371, ( -1), 593722246, 410411187, 887803037, ( -1), 391734163, ( -1), 33623170, 171684407, 167694917, 285326594, 822125946, 318465929, 729528987, 904614376, 916787595, 728930953, 708056130, 948039852, 212623405, ( -1), 223107308, 33105011, 142126101, 7672132, 483139132, 565312793, 759530661, 549040456, 494806901, ( -1), 498729985, 990520896, 993439088, 699880482, 352469729, 487015943, ( -1), ( -1), 509904293, ( -1), 948914883, 108920271, 428115524, 380919699, ( -1), 244673908, 730549119, ( -1), 161149241, 612601171, ( -1), ( -1), 215049745, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 958231329, 571768233, 177862505, 10287055, 314050111, 686300880, ( -1), 94899478, 769023174, ( -1), 159509549, ( -1), ( -1), 874121864, ( -1), ( -1), 365439729, 979448867, ( -1), ( -1), 116253046, 522018890, 543430943, 1865908, 69832866, 83749299, 962751146, 832834300, 167533678, 526896041, 166527046, 564077097, 19945233, 32004883, ( -1), 328676235, 718280422, 140091181, 201029828, 957648306, 242607131, 673508988, 185631722, 381929241, 200923792, ( -1), ( -1), 271863060, 769871012, ( -1), 209774757, 141901207, 329095055, 426185971, 19314230, 664090958, 543559637, 662441217, 363931338, 411375537, 821219956, ( -1), 770479510, ( -1), ( -1), ( -1), 943664322, ( -1), 85194413, 176960003, 786919819, 88848426, 235573868, 965431029, 907043129, 89434121, 947839913, ( -1), 871641813, 269479873, 404189289, 160375893, 533147147, ( -1), 474191732, 924973249, 190500483, ( -1), 212118598, 223326458, 327063792, 774049208, 848531705, 744317651, 291833587, 717000027, 366572542, 214108692, 10243278, 235352168, 7626950, 498939354, 901414913, ( -1), ( -1), ( -1), 57354594, 651933766, 445785275, 477883910, 129530288, 582302462, 632126838, 645091953, 93514383, ( -1), 751512463, 301109224, 437622477, ( -1), 562523619, ( -1), 418672187, ( -1), 673887953, ( -1), 102638054, ( -1), ( -1), ( -1), 935645785, 991978633, 383125188, ( -1), 208644441, 455809352, 381566212, 743570052, 553116186, 830545471, 330779499, 779752893, 635958149, 237272525, ( -1), 637182667, 689694391, 520469623, 273556511, 779187614, 77559217, ( -1), ( -1), 436369079, 919468009, ( -1), 195836694, 410078551, ( -1), ( -1), 602386903, 453562562, ( -1), 769038879, ( -1), 544177569, 596140322, ( -1), 369901974, ( -1), 240796826, 929856071, ( -1), ( -1), 753663824, 413601801, 153854096, 374781060, ( -1), ( -1), 349296114, ( -1), 861118843, 277213480, 212093756, 706141252, 634911862, ( -1), ( -1), 505606741, ( -1), 753461459, 778758739, ( -1), 188899174, 577114015, ( -1), 789507997, 315816965, ( -1), 488917567, ( -1), 247269351, 765448141, 324910519, ( -1), 816059538, 721171924, ( -1), 263079827, ( -1), 691187622, ( -1), 831247297, ( -1), ( -1), 592235746, 766074930, 412456344, ( -1), 95356163, 253434738, ( -1), 498012037, ( -1), 44040051, 839337170, 936107768, 677728945, ( -1), 267430005, ( -1), ( -1), 490719431, 195013888, 272189663, ( -1), 232668011, 49421382, ( -1), 248631615, 52442254, 968565700, ( -1), 842312375, 745246894, ( -1), 555287586, 433399849, 336941313, 105507622, ( -1), ( -1), 552432863, 781026942, 202872915, 754356231, ( -1), 594598863, 448142304, ( -1), ( -1), 18338469, ( -1), 915389860, ( -1), ( -1), 29595103, 324290848, 400086012, 805278917, 485959405, ( -1), ( -1), 109482921, 800461595, ( -1), ( -1), ( -1), 630615106, 555071350, 220165763, 537295764, 982622369, 292876522, 696585768, 26819707, 805414558, ( -1), 241344392, 83782803, 338113709, 984501009, 476241541, 245933479, 523874938, 729031335, 361157157, 440489994, 659027497, 976839028, 960455459, 782867548, ( -1), 131198977, ( -1), 86925666, 265274346, 872819712, 89952999, 220182034, 239900540, ( -1), ( -1), ( -1), 229861974, ( -1), ( -1), 86756452, ( -1), ( -1), ( -1), 892817126, 329148111, 402166393, ( -1), 765828782, 454855132, 168936416, ( -1), ( -1), 383028030, ( -1), ( -1), ( -1), 224331523, 544233442, 933521367, 365747926, 66358914, ( -1), 500909286, 768406162, 290088435, ( -1), 768143366, 942068163, ( -1), ( -1), 390052519, 502434692, 171124209, 857691442, 197105202, 499764248, ( -1), 608549766, 760237481, 6453876, 573760655, 770949923, ( -1), 13345847, 536422792, ( -1), 589351520, ( -1), 631511999, 222064300, ( -1), 520388117, 172438687, ( -1), 698839739, 565340302, 635800614, 544340543, ( -1), 642969769, 72491371, 637440297, ( -1), 595556528, ( -1), ( -1), 665275247, 812966976, ( -1), 878308258, ( -1), 63804310, 17873710, ( -1), ( -1), 498191761, 11836145, 819752722, 738454376, 602573624, 815510453, 969479102, ( -1), 850426938, 484701434, 472576976, 705854638, 170316309, 97281857, 507388762, 207976139, 533262786, ( -1), 308257241, 630310899, 395488545, ( -1), 911275602, 669054743, ( -1), 63036857, ( -1), ( -1), 566397313, 437600868, 804322944, 471134555, ( -1), 355600451, 389250280, 532728143, ( -1), ( -1), ( -1), ( -1), 494381316, 414146244, 780155046, 93765229, 340242420, 725440447, 139397114, ( -1), ( -1), 34756008, 706022679, ( -1), 209209451, 684455099, ( -1), 209874822, ( -1), 147889351, 513854782, 127279807, 759411958, 974972346, 110927087, 365289219, 622728237, 585186704, 791894281, 89873235, 665332964, ( -1), 970664790, ( -1), 444779384, 387132788, ( -1), 607142426, ( -1), 980566709, 162057494, ( -1), 78739608, 654678277, 353110466, ( -1), ( -1), 410518308, 374359689, ( -1), 558256715, ( -1), ( -1), 663042608, ( -1), 997269334, ( -1), 629510502, 124528685, ( -1), 474505381, ( -1), ( -1), 568999772, 912056229, 535271624, ( -1), 669091312, 877517148, 104987929, 87461788, 275420166, 19086011, 156373761, 835131934, 831243861, 652656981, 123460124, 227092646, 847384923, ( -1), 9866199, 962642198, ( -1), 898900534, 712291594, 267190182, 687541391, 48612456, 308621316, ( -1), 874726080, 943302433, 93440026, 269754923, ( -1), ( -1), 91897044, ( -1), 472369872, 996657637, ( -1), 652471265, 393314675, 197347187, ( -1), 26931867, 895164586, ( -1), 651998511, ( -1), 655187098, ( -1), ( -1), ( -1), 161941748, 399914124, 405878466, 728929569, 496053308, ( -1), 496196161, 857845466, 636628849, ( -1), 266371654, 186047677, 858186157, 767619861, 926062567, 428132826, ( -1), 528065731, ( -1), 15409167, 257943787, 617551450, 870857520, 36413167, 139855796, ( -1), 70640707, ( -1), 915290013, ( -1), 176721226, 626637110, 127638234, 29260240, ( -1), 905371497, 24569986, 178464793, ( -1), ( -1), 710908763, 26348624, 784596790, ( -1), ( -1), ( -1), 840593890, 398469595, 883648431, ( -1), 860663365, 1165443, 98479313, 675174824, 397480348, ( -1), 71822596, ( -1), 489053873, ( -1), 379738941, 108677558, ( -1), ( -1), 17002615, 831674286, ( -1), ( -1), 279461982, 998408411, 774502570, ( -1), 893607932, 65080823, ( -1), 163866954, ( -1), 19981737, 416743296, 194215675, 122909798, 478448305, 717889049, 526261582, 127154664, 438777398, 359940456, ( -1), 910753099, ( -1), 581993442, 276928708, 807629922, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 270263174, ( -1), ( -1), 986286645, ( -1), ( -1), 592924957, 695907093, 596874487, 121296760, 451903182, ( -1), ( -1), ( -1), 818949098, 421730078, 864284308, ( -1), 561127798, 612159094, 764409793, ( -1), 801633037, 135587801, 791589276, 701611567, 547556985, 909993384, 713580753, ( -1), 543389097, 966895619, 891485039, ( -1), 794227237, ( -1), 432672627, ( -1), 201428717, 869988717, 847363908, 586362023, 314205494, 588323024, 462177744, 669609452, 929799977, 390552478, ( -1), 984751521, 484192684, 998168746, ( -1), 951581843, 163950817, 597655713, 286785543, ( -1), 716814617, 213097186, 236733190, 393315503, 283087448, 863691741, 13768029, 792384354, ( -1), 991412471, 234223520, 348940542, 239717011, 818593652, ( -1), ( -1), 5695581, 584943112, ( -1), 246072530, 111780362, 597541527, 758726853, 248777227, 296372836, 943453377, 865969914, 848185435, 730332050, 949855934, 849633150, ( -1), ( -1), 178576570, 580952275, 426361625, ( -1), 621492192, ( -1), 822859681, 93292626, 525434760, 697609409, 861968047, 411852188, 419341243, 81032438, 214514305, ( -1), ( -1), 675760013, ( -1), 68685008, 858603600, ( -1), 936051069, 886278398, 6238896, 531892929, ( -1), 81818231, 972726287, 966017297, ( -1), 252436211, ( -1), 527180635, 696676738, ( -1), 949502088, ( -1), 501793971, 508556641, 144717404, 45781564, 54379575, 141417807, 473350364, 285343388, 80117662, ( -1), ( -1), 937448826, 527052977, 304652105, 679331513, 81058301, ( -1), 866000260, ( -1), 948868386, 331641377, ( -1), 323796468, 610320545, 433979216, 203941326, 34396444, 282684306, 853294153, 11521547, 617964908, 44620667, 364054933, 182482877, 987470593, 4266914, 659387675, 607730846, 118933425, ( -1), ( -1), 438410278, 47115188, ( -1), ( -1), 102943518, 254132383, 343962284, 426613373, 21782075, ( -1), 186923987, 770305993, ( -1), 470115757, 914229857, 900011773, 700640248, 706697219, ( -1), 691813428, 317374610, 174036199, ( -1), 972223311, 8197149, 779280915, 155051339, 956528327, 996621130, ( -1), 164521505, ( -1), 735667962, ( -1), ( -1), 113315267, 973903555, 140275706, 232355190, ( -1), ( -1), 441807981, 229927280, 499456794, 175731118, ( -1), 171434219, 484611813, 50685925, 968133286, 343153466, 632779074, 104170376, ( -1), 159455691, 129854629, 713665994, ( -1), 362600332, 802198067, ( -1), 901124304, ( -1), 601042969, 730212492, 282591301, ( -1), 771846461, 387730401, ( -1), 771430147, 575463992, 984682670, ( -1), 456591668, ( -1), 560500667, 972234715, 450383816, 180330194, ( -1), 739005220, 30434976, 948417366, 723640685, 985687452, ( -1), 982046359, ( -1), 836707566, 719287821, 587742505, 943977916, 493742281, 660065843, 5575539, 331057415, 57996060, 30768574, ( -1), 877145733, 846195062, 230582330, 252612333, 761940057, ( -1), 607502391, 35543049, 815696933, 601067376, 44374179, 759148719, ( -1), ( -1), 756518312, ( -1), ( -1), ( -1), 284776568, 307873660, ( -1), ( -1), ( -1), 610089270, ( -1), ( -1), ( -1), 488913727, 939141078, 289289847, 172259987, ( -1), 509793787, 786453141, ( -1), ( -1), 987535408, 56346989, 823221559, ( -1), 743508522, 961618761, ( -1), ( -1), 21752719, 999018228, 473273777, ( -1), 39285159, 741734834, 198096226, 183402306, 205482700, 593778052, 588522235, ( -1), 10470480, ( -1), 276485585, 470088237, 266305032, 245963342, ( -1), 899953027, ( -1), 328500704, 716601365, ( -1), ( -1), 556182224, 533423778, 717457973, 383503360, 941588964, ( -1), ( -1), 730217698, 783445059, 253298054, 751125224, ( -1), ( -1), 557196195, 621667328, 379427599, ( -1), 791955793, ( -1), 767606458, 819220125, ( -1), 739109992, 7044563, ( -1), 111205679, ( -1), ( -1), 895929648, 179906368, 413478791, ( -1), ( -1), 872777569, ( -1), ( -1), ( -1), ( -1), ( -1), 67064885, 230961986, 268475367, 819140724, 180823946, 468916229, ( -1), 663587333, 972454822, ( -1), 66232371, 379785634, 585610123, 233457324, 369712845, 445795506, ( -1), ( -1), 137317029, ( -1), 212259000, 691693250, ( -1), 74648910, 313424240, 598635797, 867958308, 931748562, 638174086, 363779574, ( -1), ( -1), 576832034, 790627754, 163449226, 501580886, ( -1), ( -1), 397799427, 171913627, 34795484, 109381712, 753453229, ( -1), 421847874, 9402727, 669572652, 812020174, 182214697, 736298061, 750981916, ( -1), 93775703, 787022624, 472456458, ( -1), ( -1), 560985060, ( -1), ( -1), 613741678, ( -1), 671804770, 21523146, 963814190, 875962979, ( -1), 782488929, 91584694, 991391888, ( -1), ( -1), ( -1), 870053037, 373501812, 825317370, ( -1), ( -1), ( -1), ( -1), 322116947, 505807018, 746391364, ( -1), 576681881, 2251309, ( -1), 705925248, 57275518, ( -1), 822118862, 486634669, 933386083, 113554943, 454431518, 168987635, 956221655, 215470310, 75890158, ( -1), 429724573, 809541639, ( -1), ( -1), ( -1), ( -1), 927381449, 818293439, 997255894, ( -1), ( -1), ( -1), ( -1), ( -1), 49829444, 302234223, 931137721, 476490970, ( -1), 119139285, ( -1), 458588555, 743060457, 273655292, ( -1), 685244186, 819812548, ( -1), ( -1), 225582190, 750074705, ( -1), ( -1), 943459749, 350694600, 358529687, 350675432, 390144670, 327225073, 55606518, 182429423, 624422017, 356797874, ( -1), ( -1), 688824860, ( -1), 12635989, 694190529, 49027464, ( -1), 337499634, ( -1), 571538041, 85658754, ( -1), 596481113, 354695190, 414709615, 456042981, 872618295, 909530040, ( -1), ( -1), ( -1), 249125284, 940894252, ( -1), 708883161, 75402180, 399152729, 899617969, ( -1), ( -1), 570922789, 903966708, 345797098, ( -1), ( -1), ( -1), 860169002, 715851260, 946270387, 898497596, 705513148, ( -1), 867741956, 902610070, 500800476, 706765709, ( -1), ( -1), 793433663, 3796130, 675119956, 941825674, 215253254, 824961, 675445922, 82158812, ( -1), 706648372, 506533052, 14259595, 606220511, ( -1), ( -1), ( -1), ( -1), 827524040, 795693044, ( -1), ( -1), 575856371, 331168848, 146892833, 219070299, 911167505, 218547042, ( -1), 896291430, 478930101, 580960190, 419504857, 998254168, 557534048, ( -1), 271178357, 843837533, 252154665, 549449596, ( -1), 869964526, 388146185, 632752039, ( -1), ( -1), 517029543, 3680897, 446952337, 646386810, 920245298, ( -1), ( -1), ( -1), 950994745, ( -1), ( -1), ( -1), 434505353, 186801161, ( -1), 363899051, ( -1), 174678291, 426937643, 715716690, 712984839, 518743681, ( -1), 155693107, ( -1), ( -1), ( -1), 198075428, 739787386, 388740916, 517905558, 708819351, 485771234, 187930611, 84333685, 484019785, ( -1), ( -1), 866036371, 478258583, 994502752, 749241153, 359882171, 774958950, 205278305, 241103658, 70035291, ( -1), ( -1), 68831592, 942220512, ( -1), ( -1), 347102073, 443312625, 810857460, 298788103, ( -1), 401030214, ( -1), 384316216, 10298123, 88471077, 499559713, 797821339, ( -1), 825744917, ( -1), 834950604, 453687078, 757631231, 327028413, 294335107, 905044796, 603705597, 710597339, ( -1), 685101555, 448662725, ( -1), ( -1), 179168541, 222336722, 839029448, 268753547, 586858661, 667301170, 419008941, ( -1), 26596319, 6212034, ( -1), ( -1), ( -1), 132674575, ( -1), 528907829, 644574118, 147391754, 943362536, ( -1), ( -1), 865199073, 135589768, 317021314, 326862886, 725291621, ( -1), 310808129, 959367291, 846318099, ( -1), 279942469, 778730056, ( -1), 582205885, 66572822, 241185129, 614073048, 767293947, 436028767, 509755386, 526338077, 822354448, ( -1), 159105572, ( -1), ( -1), 484246300, ( -1), ( -1), 814203662, 227244, ( -1), 96480264, 493517259, ( -1), 975191849, 806758432, 587106308, 399556808, 655156621, 748065795, ( -1), 864108844, 129615040, ( -1), ( -1), ( -1), 811133230, ( -1), 385429102, 344792554, ( -1), 817908309, 953453830, ( -1), 477944089, ( -1), 788059334, 20113808, ( -1), 343885461, 53183325, ( -1), 632293089, 987357034, 586851285, 321717633, 659200760, 408837080, 980737827, 886236787, 744561534, 401478848, ( -1), ( -1), 982270079, 37922036, 752335873, ( -1), ( -1), 187863690, 189149832, 926177671, ( -1), 201730988, 105110202, ( -1), 249378570, 656890314, 284574263, 553353925, ( -1), 158522345, 672853425, ( -1), 326528074, ( -1), ( -1), 54234820, ( -1), ( -1), ( -1), 869363692, 86368639, ( -1), ( -1), 929737761, 320666451, 667737141, 303812377, ( -1), 454854662, 161058915, 210567996, 197323011, 629895759, 57100607, 933040783, ( -1), 655142746, 325824634, 408835563, 961978525, ( -1), 829380018, 425084262, 369949749, 654685885, 145203242, 262598582, 12186226, 825448219, ( -1), ( -1), 927446457, 906189960, ( -1), 102023173, ( -1), 900118728, ( -1), ( -1), 721445384, 700451191, 899353173, ( -1), 841602184, 846857980, 55592211, ( -1), ( -1), 303812041, ( -1), 194055572, 787617858, 613014152, ( -1), 877314704, ( -1), 428576461, ( -1), 19948185, 400052048, 868320868, ( -1), 195923193, ( -1), 728510028, ( -1), 614357141, ( -1), 707025247, ( -1), ( -1), 668841896, 868500787, ( -1), 298781347, 290085639, ( -1), 943483590, ( -1), 90457320, 50755222, ( -1), 843544597, ( -1), 977986568, 3574030, 615294446, ( -1), 972099978, 434745856, ( -1), 762433713, 600178211, 465403863, ( -1), 847666175, 984412080, 594294161, ( -1), 750761505, ( -1), 474831281, ( -1), ( -1), ( -1), 956525365, ( -1), 77490841, ( -1), 290888866, 934603375, ( -1), 863161934, 360160336, 151482550, 99919941, 534072607, 89952823, 899066621, 703987549, 267775415, ( -1), 952708981, ( -1), ( -1), 650508668, 645222656, 448443534, 629216295, 270095402, 645146781, 816471005, 690590416, 179833645, ( -1), 708707770, ( -1), 276475477, 358002211, 999812301, 662802782, 219229960, 150286470, ( -1), ( -1), 963222472, 281132979, ( -1), 946927255, 785345218, 779712601, ( -1), 782444951, ( -1), ( -1), ( -1), 431378349, 260123348, 321857551, 122712837, 482614605, 55706949, 849007973, 816473482, ( -1), ( -1), 209990034, ( -1), ( -1), 282186728, 140874875, 544052919, 716646737, 505772140, 582342522, 858483933, 921187764, 481169140, 105246661, 198619839, 473816610, 547728425, 27722567, 52425973, ( -1), 404671133, 173629915, 410992808, ( -1), ( -1), 164662162, ( -1), ( -1), 178623411, 150730141, 856411458, 83829555, 170141470, ( -1), 577025699, 52329559, ( -1), 985930073, 648309260, ( -1), 343610758, 646203030, ( -1), ( -1), ( -1), 875726018, ( -1), 293872790, ( -1), ( -1), 567545468, 48009937, ( -1), 667682772, 5174755, 791975231, 236855497, 207504678, 468517963, 925358864, 12119925, 230282982, 733608513, 888802144, 260034760, ( -1), 111172631, 991534058, 525972210, 532342981, 185891767, ( -1), ( -1), ( -1), 667207996, ( -1), 147303219, 498019640, 694109240, 390839125, 705064993, ( -1), 689255677, 532152719, ( -1), 536194621, 779691377, ( -1), ( -1), ( -1), 603049307, 676171507, 213339600, 573127823, 986477849, 169246231, 384661924, 608615189, 268430231, 155606963, ( -1), 787253656, 342505083, 213544975, 450123929, 877341137, 459217104, 636759655, 384315820, 398606876, 419353207, 91521365, 28287460, ( -1), ( -1), 746854055, 15028489, 454299287, 475032239, 457548371, 692926465, ( -1), ( -1), ( -1), 974859214, ( -1), ( -1), 82564084, 291760001, 400673792, ( -1), 926457622, 117243208, ( -1), 58727767, ( -1), ( -1), ( -1), 659469549, 333915382, 852174652, 605183804, 599873396, 345618167, 730157913, 675333468, 571623284, 996400286, 351327602, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 190855627, ( -1), ( -1), 237274798, 470173095, ( -1), 93762238, 16422966, 194556749, 747385196, 456600316, 534013789, 962221115, 461874863, 879259395, 275130967, 864076738, ( -1), 920877005, 148338171, 668744482, 574013487, ( -1), 112252553, 327405628, 772631758, 734325537, 782666888, 196533193, ( -1), 186396840, ( -1), 104810381, 677681551, 899574696, 845334583, ( -1), 526617207, ( -1), 622385471, ( -1), 922045574, 721645223, ( -1), 357712269, 884737976, 302433675, 661039752, 67048018, ( -1), 87838669, 48831857, 592183323, ( -1), 296755907, 297967783, 386844583, ( -1), 691149661, 643497475, 101981767, 59667753, ( -1), ( -1), 871985410, 254442913, ( -1), ( -1), 385287686, 863496907, 316337325, 986877580, 116729615, 107359391, ( -1), 723168468, ( -1), 443398844, 341314541, 934664041, ( -1), 20290078, 685567578, ( -1), 87270525, 962902564, 497542774, 754705669, 51511229, 219592717, ( -1), ( -1), 377393586, 757763376, 582763586, ( -1), 975428445, ( -1), 803077942, 341764299, 155997533, 614483303, 734354651, ( -1), 875882700, 199862303, 657790428, ( -1), 585329084, 201487912, 974216165, 31433967, 51989574, ( -1), 873000222, 348958833, 850927162, 818345800, 181530769, ( -1), 920547641, ( -1), 126417918, 684234475, 84147339, 347921497, ( -1), ( -1), ( -1), 89321920, 592082615, 982040408, ( -1), 263772749, 796224862, 895537959, 991636148, 641265719, 119474506, 783463909, 806466133, 202796708, 557137725, ( -1), ( -1), 986787664, 653892683, 520151029, 302111394, 351728934, 607855978, 353385776, 444394391, 293573902, ( -1), 750299999, 749336266, 611865359, 859854796, ( -1), 757582703, ( -1), ( -1), 693480278, 800368278, 651545615, 152880443, 593954922, ( -1), 525829248, 557643749, ( -1), 701775724, 636324911, 966224294, 955383799, 404518699, 662893625, ( -1), 963156504, 955478729, 445574103, 515752330, 760280516, 998909745, ( -1), ( -1), 343351663, 196639494, 237979921, 445803828, 943451861, ( -1), ( -1), 350793857, 181965102, 448153858, 179204385, 837373161, 409617676, 74281943, 168829659, 778791797, 658978767, 311393182, 233988419, ( -1), ( -1), 390451082, 494800763, 686998642, 225348267, 698292273, 958966203, 257716151, 503790697, 485763862, 423107521, 545156339, 377403794, 421252195, ( -1), 133106467, 126442183, 301689689, 976575324, 38949300, 474111350, 696154783, 690470198, 191774853, 420369741, 889528149, 506792138, 145587378, 325146236, ( -1), 797150628, ( -1), ( -1), 70290626, 115633693, ( -1), 785802716, 970565184, ( -1), 929797875, 479128505, ( -1), 730354402, 74714551, ( -1), 472315991, 648998846, 566732730, ( -1), 910931915, 717768579, 944692694, 305124658, ( -1), 976175275, 479428457, 17229998, 22587454, ( -1), 39627846, 796254345, 2098375, 387691783, 854438942, 545933989, 165642242, ( -1), ( -1), 15868166, 215035071, ( -1), 73822224, ( -1), 928192175, 987642691, 806489424, ( -1), 921502779, 718044293, 411129214, ( -1), 332427705, ( -1), ( -1), 58627340, ( -1), 51831366, ( -1), 59299185, ( -1), ( -1), 670747217, ( -1), 751127357, ( -1), 416673999, 443873383, 170302423, 897651540, ( -1), 666999134, 80683290, ( -1), 369953688, 447376808, 757776844, 986529608, 681118319, 459009291, 619214121, 961443042, 352348136, ( -1), 164991552, 976615845, 203357597, 825945508, 531057043, 528630033, 706266452, ( -1), 497215916, 463217491, 594661074, ( -1), 677333035, 993796002, 792859157, 967201645, 754981536, 580920144, 697813363, ( -1), 901598876, 702059150, 123428933, 836897645, ( -1), ( -1), 638225329, ( -1), 333087601, 647138011, 169111289, 619389442, 225508202, 131115737, 478914647, ( -1), ( -1), 581096259, 205445332, 875474053, 936300953, 156949892, ( -1), 885028654, 136275060, ( -1), 567327733, 126647098, 220314160, ( -1), ( -1), 489531057, 761881815, 122465455, ( -1), 91454611, 575287008, 7605661, 478631255, 353843132, 594490103, 919684138, 454809255, 556539992, 733437292, 757660739, 877735161, 256169037, 506427272, 478329027, 624150617, 182537410, 178214841, ( -1), ( -1), 737618848, 470223268, 769796315, ( -1), ( -1), 953363665, 55337974, ( -1), ( -1), ( -1), 971708889, 279174594, 612693456, 171809240, 332547004, ( -1), 554633436, ( -1), 93571352, ( -1), ( -1), 674993716, ( -1), ( -1), ( -1), 580911009, 582913898, 704713524, ( -1), 450132476, 739576486, ( -1), 838067988, 851810572, ( -1), 881166934, 252943003, 763794356, 956206881, 288335165, 836441784, 367170772, 914457764, 701950221, ( -1), ( -1), 688446992, ( -1), ( -1), ( -1), 126913347, 160920255, 465993118, ( -1), ( -1), 989378150, 855360003, 916745962, 858172582, ( -1), 927220881, ( -1), 676539560, 817070902, ( -1), ( -1), 335776582, 30810369, 924281722, 813510850, 378079462, ( -1), 144865229, ( -1), ( -1), ( -1), 719279360, 797746640, ( -1), 520148068, 89492597, ( -1), ( -1), 54711529, 906443050, ( -1), ( -1), ( -1), 231797133, 662762666, 474691194, 635059699, ( -1), 684708424, ( -1), ( -1), ( -1), 537492455, 64626207, 256406186, 778052186, 901622006, 842162757, 486836423, ( -1), 912604177, 88010103, 781504425, 50714628, 109699641, 720788126, 640736522, 786003389, 937746918, 195531475, 491269667, ( -1), 966988496, 318141365, ( -1), 672331304, ( -1), ( -1), ( -1), 490021643, 589481978, ( -1), ( -1), 301530522, 952453430, 459552432, ( -1), ( -1), 351441863, 391922551, 490889245, 924136571, 959894342, ( -1), ( -1), 839942865, ( -1), 613699413, ( -1), 879696657, ( -1), 365782381, ( -1), 826485913, 122185390, 47021885, 928616464, 656058047, 996766446, 360071955, ( -1), 653966069, 521684301, ( -1), 684944018, 789450112, ( -1), ( -1), 328187984, 415290167, 923148055, 388281677, 158574347, 289387694, 3575220, 993336421, 697755391, 52141026, 667577035, 989340238, 925879140, 300112474, 315551382, ( -1), 711418145, 341971521, 102382475, ( -1), ( -1), ( -1), 694551868, ( -1), 92832301, ( -1), 23269526, 793274547, 863050666, ( -1), ( -1), 40815393, ( -1), ( -1), ( -1), 774885879, 16296837, 334164944, ( -1), ( -1), ( -1), 217598584, 423046667, 151522893, 635963075, 604714856, ( -1), 789190413, 197228386, 377234002, ( -1), ( -1), ( -1), 935420188, ( -1), 429411766, 215971702, ( -1), ( -1), 913635840, 645836332, ( -1), 857011358, 776238964, 828261288, 335038488, 419728011, ( -1), 829300294, 232500693, 69044399, 975625786, 734169763, 701691467, ( -1), ( -1), 234128038, 856748410, 152823298, 510457284, 208867563, 69165212, ( -1), 644230452, 779104073, ( -1), 930840106, ( -1), 208571602, 63820606, ( -1), 432025730, 829715500, ( -1), 889675257, ( -1), 580030485, ( -1), 995882199, ( -1), 735640290, 759477445, 996522106, 432242498, 745024757, 265813978, 559355838, ( -1), ( -1), 13278923, 812043966, 17634513, 797588701, 326138851, ( -1), 291830666, 777787728, ( -1), 333581583, 722691202, 680575620, ( -1), ( -1), 924067990, 664174499, ( -1), 977225762, 940177937, 232179603, 23427219, 787083212, 750818781, 589770335, 505505003, 278055278, 658311858, 5131373, 226663366, 942158678, 422352311, 527013485, ( -1), 346263528, 809181654, 230722933, ( -1), 400376175, ( -1), ( -1), 354054783, 810211322, 966061299, 227131901, 429873076, 769539353, 187115496, 312456960, ( -1), 205648442, 101632580, 921296657, ( -1), 804677188, 788158332, ( -1), 936670979, 45769676, 327210801, 944246269, 463129289, ( -1), 858901577, 789106314, 662841353, 706278073, ( -1), 456618642, 36460789, 657736636, ( -1), ( -1), 895744876, 332148365, 683905212, 438898423, 564595212, ( -1), 332451920, 554671081, 131116140, 150645519, 75858052, 113628223, 394607966, 344261888, 369672637, 274610560, 478772315, ( -1), 606733276, 133842747, 249346557, ( -1), ( -1), 916830562, 809257485, ( -1), ( -1), 319504103, 912205581, 616541077, 116850444, 716000651, 459376705, 95830073, ( -1), ( -1), 642627683, ( -1), 452845620, 367416859, 501365248, 215929413, 384382346, 119767008, 634776787, 749174744, ( -1), 391545992, ( -1), ( -1), ( -1), 717891875, ( -1), ( -1), ( -1), 887553438, 233073551, 701010433, ( -1), 857513832, 935124155, 990985807, ( -1), 36660997, ( -1), ( -1), 825795721, 439995816, 81784713, 950635379, 105459439, 368705976, 116476555, 481152908, 631970601, 284901427, 472033454, 363785833, 502685841, ( -1), 153852776, ( -1), ( -1), 73976901, 107641881, 962468322, 930718044, ( -1), 945581166, 662650010, ( -1), 233040701, 65543087, 908540486, 366622205, 49227101, 27251968, 377298639, ( -1), 719854090, 507632842, ( -1), 554412741, ( -1), 978662997, 177224565, 615966676, ( -1), ( -1), 343891365, 956086899, 792082320, 550346526, 760439061, 47746649, 936178702, ( -1), 885417722, 541003456, ( -1), ( -1), 550895046, ( -1), ( -1), ( -1), ( -1), 998420893, 298871335, ( -1), ( -1), ( -1), 987770336, 967806118, 435615453, 279881499, ( -1), 651482322, 4026986, 138350936, 742066340, 636141196, 548518506, 579149945, 273112013, ( -1), 115524101, 827932759, 307363693, 987323351, 789241333, ( -1), ( -1), 301641152, ( -1), ( -1), ( -1), ( -1), 578210074, ( -1), 466429756, 368895193, 525193831, 203217666, 358245132, 289005280, ( -1), ( -1), 784537156, 962506666, ( -1), 353885990, 282555416, 204024156, 992720556, 611796786, ( -1), ( -1), 336799502, ( -1), 733212318, 115949264, ( -1), ( -1), 757704117, 967090039, 950867654, 994590076, 6324317, 1276771, 585491714, ( -1), ( -1), ( -1), ( -1), ( -1), 86118465, 54477441, 493208401, 789754801, 761239935, ( -1), ( -1), ( -1), 30158308, 191977271, ( -1), ( -1), 859811394, 74725925, ( -1), 914146770, 213807085, 306875471, ( -1), 346604911, 355977693, 882433090, 852951804, 52808215, 143424824, ( -1), ( -1), ( -1), ( -1), 858943181, 139315366, ( -1), ( -1), ( -1), ( -1), 199734752, ( -1), 250123661, 64083700, 695960517, ( -1), 195324516, 6175923, 989218074, ( -1), 599259344, 77406122, 811683471, ( -1), 348780725, 449948231, ( -1), 722778673, 75850843, 353060010, 551529045, 201102151, 647050707, ( -1), 941036451, 691278528, ( -1), 711589335, 125967446, 634855315, ( -1), 47933983, 382335955, 139035331, ( -1), ( -1), ( -1), 563859189, ( -1), 952167390, 33889464, 621469800, 342748969, 788494737, 758015137, 221341493, 470594333, ( -1), 574301816, 442840782, ( -1), 120142373, 567912808, 276364415, 925792927, 386956688, 959762764, 70578067, 913363138, ( -1), ( -1), 502342643, 19971534, 683534945, 781806351, 949155528, 692771795, 682239827, ( -1), 534742980, 213985365, ( -1), 636490784, 841795213, 30852164, 402174037, 99767041, 32625843, 36768287, ( -1), 550107901, ( -1), ( -1), 637734016, ( -1), ( -1), 455931066, ( -1), 223018016, 597910650, ( -1), ( -1), ( -1), 131352197, 600381681, 987962603, 180429121, 242534391, 916650454, ( -1), 368245653, 251698561, ( -1), 802899485, 27655219, ( -1), ( -1), 546573712, 25563019, 171717088, 257358783, 614845399, 321666419, 896053128, 182554705, 301558419, ( -1), 327863305, 702315301, 419219433, 290871232, 456918762, 148926257, 666515255, ( -1), ( -1), ( -1), ( -1), 690647817, ( -1), 83938838, 430608295, ( -1), 473117892, 980638959, 589898508, 839917990, 663002235, 9714377, 251831869, 661964172, ( -1), 732479549, 273958611, 983342147, 280405183, 113906740, ( -1), 673464443, 584434253, 120288092, ( -1), 255950021, 933432691, ( -1), ( -1), 918977506, 394783284, 909312425, 391983900, 753014004, ( -1), ( -1), ( -1), ( -1), 247776958, ( -1), ( -1), 710460580, 549733638, ( -1), 516013236, 414590022, 184110744, 567777936, 999428938, ( -1), 317213621, ( -1), 274272275, 796226800, 855354194, 275139452, 813353900, 398933345, 632679732, ( -1), 174537433, ( -1), ( -1), 712771120, 341317872, ( -1), 989350789, 372662939, 650921733, ( -1), 744106812, 959002983, 372205140, 241510534, 558791026, ( -1), ( -1), 478333838, 430766218, ( -1), 154492142, ( -1), ( -1), 683085518, ( -1), ( -1), 312384287, 971065666, 645647470, ( -1), ( -1), 628630716, ( -1), ( -1), 808386380, ( -1), ( -1), ( -1), 891731311, 684036544, 997214816, ( -1), ( -1), 734276415, 127500407, 186124397, 1389141, ( -1), 13581025, ( -1), 801123653, 724986021, 227881645, ( -1), 317012940, 144953642, 841149609, ( -1), ( -1), ( -1), 194316533, 52673361, 434782038, 747258743, 619075167, 751447396, 309353383, 446179177, 940829860, ( -1), 410797466, ( -1), 36231535, 21257888, 365593122, 407830956, 985393713, 739315345, 775464045, 244765445, 945194042, 482408226, 356918549, 851263062, 614924227, 816967271, 597104923, ( -1), 797321078, 128201916, 798985487, 113194897, ( -1), ( -1), 298836148, ( -1), ( -1), 14206378, 733900013, ( -1), ( -1), ( -1), 666328362, 315051342, 665116377, 821102739, 864475487, 846070637, 33502488, 496303265, 464751142, 508609766, ( -1), 589944438, ( -1), 368384471, 992860473, 147622767, 767532032, 312099447, 794536871, 997686827, 998033888, 431448053, 441178304, 185526340, 301438581, 511377169, 67172450, 543886752, 929770925, 36177871, 996425775, 151059460, 702069354, 211806718, ( -1), 456738373, ( -1), ( -1), ( -1), ( -1), 139658793, 157181711, 952270386, 233902172, 116332978, 526486198, ( -1), 272831619, 57184667, 331776973, 472549469, 961929369, 672960729, 274067193, ( -1), 7332089, 667226390, 760755774, 524959212, 936071892, 393239721, 720353998, 173299575, ( -1), ( -1), 750467413, ( -1), 447687404, 121391943, ( -1), 411252550, ( -1), ( -1), ( -1), 382808926, 141066828, ( -1), 563516580, 687852458, 718759017, 701370233, 853804353, ( -1), 172576995, ( -1), ( -1), 992265777, 996528937, 742970801, ( -1), 250831882, ( -1), ( -1), 814810095, ( -1), 427805758, 895381775, ( -1), 948559689, 992105914, 211911679, ( -1), 22837584, ( -1), ( -1), 509988500, 388214879, 467647596, 849577431, 270575543, 180893560, 65191538, 872457578, 623335777, ( -1), ( -1), 252239903, ( -1), ( -1), 62325429, 924080005, 666035674, 984976777, 182355188, 162621233, 229071311, 604450370, 911329477, ( -1), 535616998, 821663734, 933922442, 880226647, 981523105, 719522210, 404206343, 930807182, 304730304, 190826436, 418942263, ( -1), 647965102, ( -1), ( -1), ( -1), 707216829, ( -1), ( -1), ( -1), 917380939, 129949712, 221654499, ( -1), ( -1), ( -1), 692281079, 810415674, ( -1), 31518756, 25859285, ( -1), 80837076, 201229759, ( -1), ( -1), 583707720, 169441100, 859475513, 104486823, 49283906, 321635870, 632937165, 52966208, ( -1), 329117408, 471518515, 168257362, 770215630, ( -1), 488115434, 451411524, 745453452, 899970592, ( -1), 408131799, 771098833, 386987594, 596818203, 826840905, 248661922, ( -1), ( -1), ( -1), ( -1), 493839376, ( -1), 992023255, 457520196, 506741543, 368510495, ( -1), 966301111, ( -1), 108618771, 591338837, ( -1), ( -1), ( -1), 721814263, 645522276, 33731777, 79175287, ( -1), 953615029, 704518308, 287023986, 410349355, 661774883, 859607836, 408458078, 678380012, 164012383, 380522827, 173308719, 170222620, ( -1), ( -1), 240644392, ( -1), ( -1), 338956783, 63967485, ( -1), 178055346, 509417625, 541321311, 1057376, 996833222, 778344610, 470260629, 602970042, ( -1), ( -1), 962912704, 661155863, 794475618, ( -1), ( -1), 674619556, 865001006, ( -1), 77051004, ( -1), ( -1), 871508747, 26566461, ( -1), 672210642, 333970167, ( -1), ( -1), ( -1), 900017388, 552640358, 204575429, ( -1), 412737104, ( -1), 930855857, 416066222, 547499531, 50440436, 845152454, 770018285, 721315872, 201569380, 773370572, 394379027, ( -1), ( -1), ( -1), 713806843, 190543423, 262221715, 828929737, ( -1), 924965158, 818679313, ( -1), 57107176, 382087312, ( -1), ( -1), 836685972, 979347943, 579703151, 730662713, 108179694, 771251776, 243759348, ( -1), 914712777, ( -1), 597839576, 566123623, 198356441, 728557650, 161414517, ( -1), 209522896, 509291458, ( -1), 225359410, 659390017, 115926214, 932205819, 702239082, 891364171, ( -1), 162952801, ( -1), 576224635, 382697005, 312964363, 865754748, 913540364, 292314857, 919070394, 513108483, 922228095, 162164754, 161571965, 745630596, 279548228, 794125098, 472705553, 779668001, 719575478, 807000487, 118233504, 618265439, 219668765, 580122070, 669806618, 652526400, 964647418, 9952489, 945630772, 249508667, 107595607, 90585991, 152789485, 667027323, ( -1), 300932198, 927323309, 255176387, ( -1), 608545005, 148160137, 774299297, 150074531, 401935908, 536436337, 172289171, 368887325, 234199260, 141806121, 558911858, 388240858, 925430199, ( -1), 369484341, 264640890, 947102509, 87241267, ( -1), ( -1), 488125455, ( -1), 941930986, 3991186, 647477027, 888240933, 160600042, ( -1), 546403509, 507433393, ( -1), ( -1), 899707113, 760614710, 1226454, ( -1), 522569328, 80264451, 65285359, 289342411, ( -1), 458787641, 825771659, 90255228, ( -1), 973434007, 28884597, ( -1), ( -1), ( -1), 594441396, ( -1), ( -1), 372850327, 183898844, 497355494, ( -1), ( -1), 852493423, 957239921, 552334861, 354449907, ( -1), ( -1), 418861348, 219590297, ( -1), ( -1), 328448449, ( -1), 627627805, 865825917, 850148269, 770597832, ( -1), ( -1), ( -1), 73083393, ( -1), 703626222, 595849804, ( -1), 390563998, 267759286, 101605948, 667659631, 302449978, 323705281, 228539328, 69832568, 805565988, 342640276, 997159370, 372876544, 269393572, 983433146, ( -1), ( -1), 55302188, 28379238, ( -1), ( -1), 889384238, 688412358, 266090870, ( -1), 563144218, 181783052, 760864918, ( -1), 142934601, 55917504, 335704396, 430041002, 107886508, ( -1), 270638017, 747549786, ( -1), 388035034, 333444206, 141734440, 340675250, 335041619, 28493098, 42735268, ( -1), 442564174, ( -1), ( -1), ( -1), ( -1), 458014152, 452474187, 292014868, ( -1), ( -1), 559530246, 710842392, 474234259, 136638276, 783095426, 358488303, 79643212, 761411853, 639141254, 740412846, 948050217, 841863265, 228209614, 146560740, ( -1), ( -1), 187329557, ( -1), 957835343, ( -1), ( -1), 751334302, 102391567, 479605051, 823195551, 528545102, 217322861, 778139934, 462710531, 498867800, ( -1), 581260361, ( -1), 762162909, 994810023, ( -1), ( -1), 541170522, ( -1), ( -1), 583092793, ( -1), 999617057, 564101825, 369198639, 424456178, 350682968, 962607530, 44728865, ( -1), 7367948, ( -1), ( -1), ( -1), 474901571, 165236173, ( -1), ( -1), ( -1), 563105067, 804591058, 546723666, 319879199, ( -1), 130002712, 239842531, 409336266, 42337788, 575288849, ( -1), 560728615, ( -1), 405831984, 269004851, 875677286, ( -1), ( -1), ( -1), 144992771, 152868415, ( -1), 768952005, 622540156, ( -1), 480606214, ( -1), ( -1), 583879791, 687787766, 213590085, 187664799, ( -1), ( -1), 536285693, 675874134, 958465332, 359008324, ( -1), 993042376, ( -1), ( -1), 526901196, 468251299, 837291292, 80296911, 562536253, 161004526, 251940336, 261175059, 332216703, 613126132, 263095958, 538270478, ( -1), 852261821, 293629611, 788204588, 303606872, 290446734, ( -1), ( -1), ( -1), 898449986, 176002039, ( -1), 825072566, 715416014, 97638643, 911608383, 910903325, 839782348, 320018251, ( -1), 463981038, 273739798, 709072523, 125664672, ( -1), 918860315, ( -1), 731956681, 588425130, 867594909, ( -1), 559930950, 360179388, ( -1), 375193631, 421229842, ( -1), 423639912, 284356302, 895396508, 657721837, ( -1), 589203175, ( -1), 854782931, ( -1), 839403817, 551185151, 47520199, ( -1), 707718367, 393895530, 326969450, 641588914, 678440797, 184158345, 199662838, 96951085, ( -1), 504693139, ( -1), 861952867, 74410154, 873522400, 756428947, ( -1), 570145919, 479783002, 969540370, ( -1), 463903541, 656829615, ( -1), 612736218, 841605456, 779257485, 210093852, 811333262, ( -1), ( -1), 356220865, 337260769, 988996845, 615098055, 648053685, 977733194, 267314182, 647149632, 277376246, 870144085, ( -1), 883226963, 676672374, 853594289, 821491964, 899864753, 475914751, 570033608, 397557510, ( -1), 629354617, 309050719, 148698452, 1644534, ( -1), 836215776, ( -1), 676537678, 971488461, ( -1), 582826122, 812673621, 754325376, 602351951, 447759047, ( -1), 388773409, 22441698, 561137171, 728689547, ( -1), ( -1), 787314580, ( -1), 773750432, 350007132, 720689115, ( -1), 416805704, ( -1), 691226983, 58670338, ( -1), 640156732, ( -1), 664437784, 240790605, 411073968, ( -1), 575696904, 731932006, ( -1), 188408346, 144994098, 627868710, ( -1), 982831285, 379655861, 987244500, 929213439, 167383479, ( -1), 206559342, 549563021, 751097803, ( -1), 982001304, ( -1), ( -1), 6461040, 443783145, 437603309, 286017704, ( -1), ( -1), 811474962, 12863226, 873775460, 849651752, 312780745, 937668825, 875494690, ( -1), 403979107, 181450763, 860342424, ( -1), 811554548, 4015432, 496748772, 509631247, 518985528, 901773373, ( -1), 921125307, ( -1), 881207339, 829709679, 127551183, ( -1), ( -1), 971826703, 71595928, 82327426, ( -1), 626043078, 780928572, 859322218, 929883737, 779044465, 679284471, ( -1), 658535975, ( -1), 300324301, 307270557, 497104887, ( -1), ( -1), 685001673, 568617712, ( -1), 300889350, ( -1), 53957160, 588313352, 336569156, 22602163, 736785814, 63021008, 721941873, 7839285, 725925639, 255032345, ( -1), ( -1), 902523052, 310452101, 275327987, ( -1), 249304169, 988367304, 924121661, 796741478, ( -1), ( -1), ( -1), 22422082, 844210313, ( -1), ( -1), 315307693, ( -1), 238890813, 676109805, 158642351, ( -1), ( -1), 196245859, 314396904, ( -1), ( -1), 686202947, ( -1), 845170680, ( -1), ( -1), 201252925, 709348252, 645248826, ( -1), 786260668, 273155279, 422172193, ( -1), 347720060, 446902442, 765320274, ( -1), 810738523, 172807713, ( -1), ( -1), 920274636, 146127201, 182754453, ( -1), ( -1), 250262702, 521413156, 502740886, 559660330, 626795049, ( -1), 494035975, 917231949, 379945481, ( -1), 662058615, ( -1), 591074515, ( -1), 282627983, ( -1), 874643297, 209410946, ( -1), 564322876, 722175205, 508378608, 979685735, ( -1), 303355218, 570435160, 555540013, 111161299, 393672336, 802300380, 910886727, 564854752, 994179372, 541329042, 70410756, ( -1), 177884424, 738804231, 394296994, 37730914, ( -1), 160509582, 698264744, 939690045, 448893808, ( -1), 807009710, ( -1), ( -1), ( -1), 416776844, ( -1), 484542073, 161958059, 674141103, 245886403, 370445734, 940656931, 397883769, 420181158, 83869292, ( -1), 985471357, 221635146, 370859083, 608583714, 367697635, 266613368, ( -1), 280148461, 13107872, 762031083, 294333169, 312755898, ( -1), 302607483, ( -1), 230548676, ( -1), ( -1), 676121902, ( -1), 271977859, ( -1), ( -1), 324128198, ( -1), 640097001, ( -1), ( -1), 525445932, 821813983, 958775839, ( -1), 796529021, ( -1), 747527329, 605642060, 957857179, 669155396, ( -1), 654476892, 150148457, 916075652, ( -1), 653146660, 544252886, 860541959, 744837897, ( -1), 991059353, ( -1), 636630203, 267031953, ( -1), 784941974, 81997268, 679906164, ( -1), 271936206, 388200878, ( -1), ( -1), 335888126, 530650948, 996535792, 533551632, 10796702, 870622607, 638598595, 841344293, ( -1), 884867388, ( -1), 27239916, 106377104, ( -1), 335575601, 370746877, 220030402, 227931814, 597213150, ( -1), 426572399, 649837385, 520649695, ( -1), 280863547, 6844007, ( -1), 199650511, 949252436, ( -1), ( -1), 463531421, 586465782, 219457535, 460096201, 205503725, ( -1), ( -1), 507294833, ( -1), 281972666, 745791639, 904723701, ( -1), 783189668, 212168543, 250755124, 352642037, 966726035, ( -1), ( -1), 94439149, 408364276, 726717881, ( -1), 679119153, 675232855, 342857992, 529212761, 670862478, 831114419, 139899009, 441939681, 114080401, ( -1), ( -1), 972157110, 211723413, ( -1), 586720313, 91959046, 13115623, 556537516, 454436849, 573835772, ( -1), 449266226, ( -1), 689508024, 443830604, 238298414, ( -1), 381054749, 828314464, 310619515, ( -1), 14730047, 773725699, ( -1), 476027534, 591023583, 942584387, ( -1), 684321737, ( -1), 529510366, ( -1), 856666025, ( -1), 695658479, 243025643, 433740096, 268097853, 424681735, 928971601, 891077667, 404987886, 535612427, 791474006, 18451150, 943635355, 429550563, ( -1), ( -1), 235648248, 561996585, ( -1), 471009231, 544790407, ( -1), 423784375, 693585197, 436456602, 963703882, 128668618, 510641923, 705789108, 609215157, ( -1), 481461526, 377689815, ( -1), 653968204, 324303808, 30385639, ( -1), 937135172, ( -1), 17255819, 662563628, ( -1), 395238223, 734952012, 675312418, 943973280, 245555374, ( -1), 708196970, 193165598, 250069365, ( -1), 353714265, 722045006, 638740747, 275201780, 755190556, 984589424, ( -1), 997459316, 769375152, ( -1), 715162816, 872879622, 695191064, 731660995, 580464712, 24713011, ( -1), 446908465, 795497149, 465954021, 904923376, ( -1), ( -1), ( -1), 472882409, 341890710, 768953907, ( -1), 425408337, 699108185, ( -1), 582888952, ( -1), 438490798, 874484209, 367346446, 899301369, 798478801, 998893829, ( -1), ( -1), 649750995, 4480527, 440250368, 662117995, ( -1), ( -1), 66123232, 190449923, 503441278, 667798172, 192909669, 642505572, 186204228, 399167765, 157349232, 533377832, 216629010, 436749794, ( -1), 81746059, 106823789, ( -1), 158176355, 296013876, 421719225, 603964434, 8014869, 492281574, ( -1), 988398283, 257612359, 412286243, ( -1), ( -1), 689263829, 861561165, ( -1), 37501355, ( -1), 690333743, 881609200, 706604710, 915993778, 968008663, 187502765, 655888004, ( -1), 99311485, 633064699, ( -1), 838772309, 450339492, 315661496, 56016933, 582732674, ( -1), 54784136, 323723683, ( -1), ( -1), 497130051, 26811001, ( -1), 494865669, 191286306, 518235303, ( -1), 22535342, 770135542, ( -1), 116574687, ( -1), 851060533, 534142717, 328163256, ( -1), 963322643, ( -1), 544634305, 964099022, 502940550, ( -1), ( -1), 883970808, 402265272, 151153449, 965440906, 56241956, ( -1), 58818606, 113916211, 538266972, 137863022, 918116299, ( -1), 126589832, 743792865, ( -1), 70130707, 526436495, 48273085, ( -1), 20678324, ( -1), 460067110, 156549895, ( -1), 157085149, 213717498, 106952960, 647597077, 645247054, ( -1), 477105354, 986082180, ( -1), 437946597, 617883454, 173022236, 703139174, 310370433, ( -1), 323811170, 437559261, ( -1), 982113107, 682537131, 876475128, 99061824, 115024823, 792915571, 139781583, 825860738, 606942078, ( -1), 356884657, ( -1), 116210306, 552773138, ( -1), ( -1), 651531169, 452370405, ( -1), 607410214, 518390070, 290138463, ( -1), 879077108, ( -1), 764800359, ( -1), 473947180, 269615630, ( -1), ( -1), 213107931, ( -1), ( -1), 999169040, 870401356, 835592866, ( -1), 181170261, 184973332, ( -1), ( -1), 888949281, 237427202, ( -1), 320223703, ( -1), 254473838, 974039466, ( -1), 15991674, ( -1), 236738721, 642210137, ( -1), 875177248, 902642918, 343916761, ( -1), 327636402, 146957383, 432317847, 468237697, 926706456, 2926632, ( -1), 610943100, 768614817, 113691076, 939278156, 397092567, 428194505, ( -1), ( -1), ( -1), 408356295, 890074574, 523499826, 516368984, 362582514, 952410799, ( -1), ( -1), 387619296, ( -1), 722565376, 61710303, 397299334, ( -1), ( -1), 197825647, ( -1), 472897492, 866983908, 894994121, ( -1), 668555082, ( -1), ( -1), 888587371, ( -1), ( -1), 919320044, 12724597, 628838280, 743781231, 341628615, ( -1), 819257985, 653491958, ( -1), 830160087, 305541101, 630832011, 527947378, 328877441, 762848120, 198450964, 404770461, 834984787, 220231117, ( -1), 41362643, ( -1), 343776254, 910379119, 346030114, ( -1), 825420923, 211893077, ( -1), 862155006, 74276453, 642129128, 737700143, 834903056, ( -1), 466970380, 666480442, 752185362, 199252988, 721771986, ( -1), 519218299, ( -1), 754926131, ( -1), 520053999, 444877887, 728766081, 798393963, 455088463, 375790536, ( -1), ( -1), ( -1), ( -1), ( -1), 172344132, ( -1), 194934827, 315345122, ( -1), ( -1), 903970454, 473819992, 746218107, 443236066, 92680272, 736721484, 575150854, 561708343, ( -1), ( -1), ( -1), 473731323, 216056688, 71260445, 40727203, 785927285, 463137006, 830976969, 930573189, 403148819, ( -1), 329371565, 805528196, 98341358, ( -1), 588518474, 508748796, 482006536, ( -1), 296018066, 610162036, ( -1), 523173155, ( -1), 876608778, 24395351, ( -1), 637148299, ( -1), 210845376, 545309615, ( -1), ( -1), 540061277, 112815189, 514237369, 445854670, 427779668, 740717543, ( -1), ( -1), 175207211, 822745960, 523226363, 380354221, 332889631, 281722672, 649588025, 666523817, 804860662, 120378978, ( -1), 451118893, 191503492, ( -1), 415566989, 626039401, 473989585, ( -1), ( -1), 779920078, 994894112, ( -1), ( -1), 862655536, 124810629, ( -1), ( -1), ( -1), 898379732, ( -1), 480940514, 775148496, ( -1), 567766445, ( -1), ( -1), ( -1), ( -1), ( -1), 834356105, 339386872, ( -1), 566126909, 430140838, 215364642, 519181210, ( -1), ( -1), ( -1), 187240736, 791469406, 705405733, 385435217, ( -1), 170498270, ( -1), ( -1), 909366901, 455823950, ( -1), 199433167, 132285956, 456569587, 599556600, 389654760, 903808974, 631846897, 421790325, 487413176, 300387282, 513508510, ( -1), ( -1), 935827792, 61459022, 651843992, 748490061, 840677090, ( -1), 81683634, 772471799, 249841461, 851475395, 904170075, 741819130, ( -1), 367058012, ( -1), 690608179, 296305939, 947440796, 642150107, 841694231, 241569181, 515269148, 771031729, 370544824, ( -1), 572891116, 26171565, 566451114, 428363625, 925899443, ( -1), ( -1), 287377515, 128400642, ( -1), ( -1), ( -1), 963627405, 225111687, ( -1), 682408221, ( -1), 280420629, 793101881, 570046190, 542797840, ( -1), 317853129, 13686691, ( -1), 309267477, ( -1), ( -1), ( -1), 708621402, ( -1), ( -1), ( -1), ( -1), 72135383, 369143627, 75554376, 37374467, 969127072, ( -1), ( -1), 910246438, 381204798, ( -1), ( -1), ( -1), 549121612, ( -1), 512705059, 832319110, 683201468, 690406587, ( -1), 82055786, 103109205, ( -1), ( -1), ( -1), ( -1), ( -1), 589451632, 850250733, 719777321, ( -1), 579083359, ( -1), 913430419, 428444124, 649276613, ( -1), 184971281, ( -1), 608480097, 209101391, 526424294, 263814990, 847163231, 538460406, 903101036, ( -1), ( -1), 729131452, 234226975, 916157936, ( -1), ( -1), 536262299, 751836452, ( -1), ( -1), 270472206, 708238962, 500269214, 888703385, 883334303, ( -1), 23626193, 223959790, 117100337, 987309832, 427648566, ( -1), 135392622, ( -1), 243866013, 526567428, 678988096, 463184743, 552563750, 964369572, 478511221, ( -1), ( -1), ( -1), ( -1), 183274445, 682365805, 518285070, 497860350, 35586030, ( -1), ( -1), 660409603, 640839994, 400579650, 921228387, 149943524, 790274885, 611915274, 97146833, 250915455, 430825191, ( -1), 61785422, 320457323, 212672114, 337027835, 41943739, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 883602745, 450673920, 415317666, 183748416, 934805504, 829894714, 115297455, ( -1), 241698212, ( -1), ( -1), 497857711, 873653330, ( -1), 238546934, ( -1), 858362636, 428933251, 852227740, 856164142, 699120920, 978066637, 47035968, ( -1), 137437388, ( -1), 916349917, 536704843, 511127375, 974224008, 687381280, 547832971, 292559455, 739178631, 125978215, 258488538, 6459121, 476151741, 876811853, 898968970, 311662372, 919332811, ( -1), 187919050, 101303464, ( -1), 210624270, 408711632, ( -1), 987648941, ( -1), 256346709, 538862992, ( -1), ( -1), 414288865, 49434465, 599640061, 977147488, ( -1), ( -1), ( -1), 156967786, ( -1), 936251557, 589367447, 981215085, ( -1), 597934670, 669202360, ( -1), 513766521, ( -1), 174622694, 86061300, ( -1), 290530440, 319951107, 342355200, 361427586, ( -1), 162377996, 659124754, 475632185, 314961359, ( -1), 880524029, 193663327, 384613190, ( -1), 237523840, ( -1), 668641831, ( -1), ( -1), 740490676, 9862836, 395370054, ( -1), ( -1), 214401096, ( -1), ( -1), 700079483, 871768205, 675821988, 872995738, ( -1), ( -1), ( -1), 285071454, 247703487, ( -1), 989037817, ( -1), 797502956, 952897493, 244586021, 605459050, 261918323, 152907042, ( -1), 488937401, 610431300, 902260729, 641627222, ( -1), 647713377, 268823959, 503510234, 41269064, ( -1), 229735657, ( -1), 143065091, 445273708, ( -1), 987155472, 976462028, 196770054, ( -1), 195823666, 925759051, 514728019, 43038704, 759251425, ( -1), 110213627, 836844183, ( -1), ( -1), ( -1), 482625904, 102484332, 164659172, ( -1), 646462385, 358090069, 970040716, 612804691, 726689580, 201487978, 843487038, ( -1), 567629661, 244692597, ( -1), 760183569, ( -1), 447981915, 32750207, 325528074, ( -1), 953342303, ( -1), 641693582, 987602024, ( -1), ( -1), 915742854, 573114750, 54594186, ( -1), 828656837, 97869849, 468077258, ( -1), 368651025, 526224860, ( -1), 871815765, 750773969, 778831152, 513897703, 774059848, 315445291, ( -1), 867580028, ( -1), 479073531, 732188809, ( -1), 173675957, 89744221, 81353226, ( -1), 560160619, ( -1), ( -1), ( -1), ( -1), ( -1), 187413109, 584731751, 545791114, 425727518, ( -1), ( -1), ( -1), ( -1), 357265856, 625554152, 729422011, ( -1), ( -1), ( -1), 771638963, 511685323, ( -1), 376538433, 42187901, ( -1), ( -1), ( -1), 692092015, 954135730, 840375151, 683368583, 905684764, 785602113, 247758080, 483638677, 279618489, 976488507, 641927417, 454653431, 234586762, ( -1), ( -1), 282068767, ( -1), 140597593, 657031859, 439259040, 541384719, 304897989, 699270942, ( -1), ( -1), ( -1), 328340906, 321228123, 829949144, ( -1), ( -1), 333673490, 862187622, 726573203, 863950877, ( -1), 946456925, 126606415, 52265943, 475828474, 829287411, ( -1), ( -1), 355867549, 684840119, ( -1), 891130789, ( -1), 952451656, 697408337, 354316275, 448803309, 707412834, 293924203, ( -1), ( -1), 557597764, 366639332, ( -1), ( -1), ( -1), 838131030, ( -1), ( -1), 906044564, 763139060, 504537796, ( -1), 676004594, ( -1), 825293745, ( -1), 42447949, 979374482, 95127205, 34829658, 418245367, 519080520, ( -1), 650559867, 715730746, 421899612, ( -1), 733808150, ( -1), 992278849, 287963157, 195881353, 471165394, 839640029, ( -1), 239286829, 258246327, 374155978, 304704597, ( -1), 769090504, 943966673, 983886309, 78950545, ( -1), 756170990, 897114160, ( -1), ( -1), 371274710, 797955897, 258271251, ( -1), 458860042, 560741895, 193131184, ( -1), 312850261, ( -1), ( -1), 907307799, 233556726, 95310195, 436530415, 582497487, 26327302, 945908558, 127560276, 324904312, 732805394, ( -1), 635347551, 412363887, 787292442, ( -1), 302677033, 659141221, ( -1), ( -1), 58074978, ( -1), ( -1), ( -1), 114228929, 266930203, ( -1), 67196944, 267807470, 75744605, 547039722, 468705302, 410523872, ( -1), 390955155, ( -1), ( -1), 249534439, ( -1), 449011365, ( -1), 865551296, 726369867, 253367822, ( -1), 737830084, 827862951, 195883671, 278055415, 961619136, 18418358, 432308273, ( -1), 586496934, 731568043, 569688139, ( -1), 140038075, 335965503, ( -1), 623631237, ( -1), ( -1), 627315360, 129986130, 41639847, ( -1), 856400984, 190088144, 368310941, 629818255, 407623994, 983295759, 959636211, 835060794, ( -1), ( -1), 929134462, 544285495, 919099468, 442282553, 933529481, ( -1), 52328166, 453181978, ( -1), 980262260, 32455833, 408061052, 189845129, 666514576, ( -1), ( -1), 844961201, ( -1), 843072614, 374641779, 795853770, 399748341, 685177349, ( -1), ( -1), ( -1), ( -1), 563018781, ( -1), 847457422, 64471644, 742829720, ( -1), 500380181, 713461881, 359751458, 673223227, 870661762, 242645390, 960626279, 403027723, ( -1), ( -1), 443639234, 47262617, ( -1), 290882808, ( -1), 749175100, 320150800, 821998492, ( -1), 97831050, 382143820, ( -1), 745410230, 644015168, 341938463, ( -1), 664330889, ( -1), 136706218, 896929277, 192689947, ( -1), ( -1), 270628169, 631840958, 725625437, 577619230, 343458069, 321485930, 716064437, 420951350, ( -1), 213542799, 933989200, ( -1), 498727362, 757514719, 72402728, ( -1), 839714299, 889368320, 204533692, 580631792, 208158327, 356740115, ( -1), 21583912, 36045182, 507158574, ( -1), 584985395, ( -1), 748742305, ( -1), 598874583, 465119563, 788906155, ( -1), 182063269, ( -1), 804596700, 599145769, ( -1), 475911090, ( -1), 226252211, ( -1), 907327995, 974550518, ( -1), ( -1), 704380952, 767873269, ( -1), 544296986, ( -1), 367509992, 470041671, 805461956, ( -1), 158194672, 546572329, ( -1), 910963767, ( -1), 221529973, 526127107, 312986612, ( -1), ( -1), ( -1), 779646523, 488459200, 81246474, 845505089, 247255264, 242294046, 816310428, ( -1), 220545245, 448020603, 342412283, 813290332, 764299872, 741714134, 224843863, ( -1), 743487172, 812492007, ( -1), ( -1), 339150512, 646859607, 835327067, 705367217, ( -1), 909914518, ( -1), ( -1), ( -1), 502990031, 471988254, 512270212, 433006756, 779100387, 332547734, 171444723, 753271859, 754419459, 388557268, ( -1), 279199837, ( -1), 233023807, 116855287, ( -1), ( -1), 530737545, 720513654, 211776650, 501014689, ( -1), 707317861, ( -1), 13108521, 200550698, 914015959, 308899231, ( -1), 652272808, ( -1), 812978243, 584094206, 861652210, 452812157, 186577873, ( -1), ( -1), 483475881, 137293367, 529686018, 948625256, 504828778, 428731571, 289251164, ( -1), 138511999, 416658993, 756216366, 749237390, ( -1), 178999368, 639734040, ( -1), ( -1), 423582053, 305454144, 283603658, 283776130, 171841150, ( -1), 710026649, ( -1), 806608673, ( -1), 72223015, 314284895, ( -1), 763686818, ( -1), 760488417, 846379698, ( -1), 519908147, 112636938, 645174762, 695711710, 509506838, ( -1), ( -1), ( -1), 307077604, 39264944, ( -1), 993982765, 932081553, 481450973, ( -1), 607555171, 687199548, ( -1), 64276435, ( -1), 964850149, 202959372, 833680724, ( -1), 45420058, ( -1), ( -1), 191069232, 820992852, 647314081, ( -1), 830490212, ( -1), 644450349, 166687640, 504366310, ( -1), ( -1), 160635534, 356278327, 607584830, 634594822, 125976972, ( -1), ( -1), 530341035, ( -1), 497203013, 490780463, 112740186, 704288322, ( -1), ( -1), 683301664, 351261362, 595353260, 54394194, ( -1), 968782688, 751572007, 649357304, ( -1), 478086576, ( -1), 490358568, 105935965, 312916577, ( -1), 749639808, 185446252, ( -1), 632885997, 951031155, 628806510, 34423460, 254588671, 358874527, 221821493, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 813613822, 91335395, ( -1), 375946340, ( -1), ( -1), ( -1), ( -1), 72334779, 150252912, ( -1), 342569776, ( -1), ( -1), ( -1), 178149502, 658746094, ( -1), ( -1), 253613952, 40292249, 801633936, 553674764, 54856498, 745425688, ( -1), 577312845, ( -1), 947413831, 271141994, 287964308, ( -1), ( -1), ( -1), ( -1), 148766918, 419418807, 382559738, ( -1), 359538962, ( -1), 456972748, ( -1), 45605111, ( -1), 959754530, ( -1), 683507519, 426928606, 608528557, 41017956, ( -1), 364211180, ( -1), 566863945, 698846671, 743781379, 806591677, 389388973, 753320172, ( -1), 59579470, 586409449, ( -1), 970440804, ( -1), 288536608, 773973463, 166048251, 256352907, 361694602, 935853918, 930632429, 801418522, ( -1), ( -1), 652493026, ( -1), 957330657, ( -1), 813625778, ( -1), 428112382, 905136408, 557659270, ( -1), 682460126, 160983401, 248164807, ( -1), 610798174, 873968812, 118889817, 994877676, ( -1), ( -1), ( -1), 578281726, ( -1), ( -1), ( -1), 417209187, 261946399, 945216479, ( -1), 925817386, 362132386, 399436890, 669836453, 32533343, 261213996, 616448673, 402745783, 480710628, ( -1), ( -1), 148808479, ( -1), ( -1), 751346777, ( -1), ( -1), 270925288, ( -1), 905169619, 281727208, ( -1), 527013304, 264308166, 340059619, 653660208, 572521857, 710075812, ( -1), 436747171, 257214689, ( -1), ( -1), 386160532, 22464183, 332610571, 294920417, ( -1), 160103401, 149149623, 289472437, 410030720, 67428184, 634236753, 884962474, 768835724, 986095476, 797573925, 589632860, 533050280, ( -1), ( -1), ( -1), 451287597, 650786659, 692267201, 334554938, ( -1), 745503270, 362865916, 107067398, ( -1), 465641625, ( -1), 226451324, 301014722, 807762714, 409735130, 886832965, 971927340, ( -1), ( -1), 194496103, ( -1), 919609485, 670704758, 439395511, 145904827, 424050219, 204756113, 164016146, ( -1), 95409954, ( -1), 777530518, 84692637, 496099788, ( -1), 738418339, ( -1), ( -1), 82318208, 997077905, 655930148, 949046085, ( -1), 122069249, 995285023, 144297335, 156535089, 398747130, 509414449, ( -1), ( -1), ( -1), 229708242, 576243691, 840748349, 903672119, ( -1), ( -1), ( -1), 735987924, 57514626, ( -1), ( -1), ( -1), ( -1), ( -1), 21700957, 183352770, ( -1), 557158564, 690966411, 126412757, 778512492, 144889470, 161942504, 874547285, 610944447, 298847093, ( -1), 434506611, 105309790, 185402225, ( -1), ( -1), 737543951, 951282607, 547454937, 611661490, 32140036, 677624998, 810250526, 247426241, 220772870, 761673420, 450248753, 266372373, 44083102, 918050483, 796541272, 900134407, ( -1), ( -1), 53680309, 110669175, ( -1), ( -1), ( -1), 56293382, 977086890, 496887952, ( -1), 717107462, 102351248, 835364015, 476944145, 908619877, 78048285, 95801169, 673705911, 286258373, 629665395, 709276676, ( -1), 633789505, 785592087, 69128897, 384705408, 982544174, ( -1), ( -1), 159964837, 489146962, ( -1), ( -1), ( -1), 136522153, 364603728, 161027842, ( -1), ( -1), ( -1), ( -1), 876533420, 98152473, 177428254, ( -1), 282862601, 260502418, 413582607, 209603779, ( -1), ( -1), 513085401, ( -1), 346277856, 485967984, 111899, 3759325, 684783674, ( -1), 27266984, ( -1), 945629277, 427104666, 561406665, ( -1), 316613572, ( -1), ( -1), 151583220, ( -1), 383950720, 274507091, ( -1), 198416740, ( -1), 529643809, 557425927, 240200789, 613130722, ( -1), ( -1), ( -1), ( -1), 16215352, ( -1), ( -1), 702150041, 831014084, 820116273, ( -1), 293011787, 3963621, 350023410, 502777809, 209586080, 802006378, 711801478, 508396395, ( -1), 435167620, 777008735, 247824375, ( -1), ( -1), 291986103, ( -1), 817673634, 370919388, ( -1), 31308913, 186427508, ( -1), 463272582, 489083376, 398121067, 903310396, ( -1), 960193452, 178172114, ( -1), 316915604, ( -1), 510836125, 877548688, 716615159, 440441727, 641249079, 466617229, 20995702, 430697283, ( -1), 346239380, ( -1), 351333076, 885216708, 820267275, 715544953, 569314044, ( -1), ( -1), 293226541, ( -1), 929250178, ( -1), ( -1), ( -1), 776874570, 791164461, ( -1), 906153739, 809802697, 706842680, 893102620, 878564241, 700827926, 686471387, 322300263, 719682929, ( -1), 896798588, ( -1), 785487521, ( -1), 721361810, ( -1), ( -1), 48406995, 94799525, 350831752, 13889050, ( -1), 102497703, 452163916, 866328086, 496030498, 495114328, ( -1), 128775030, ( -1), 860364845, ( -1), ( -1), ( -1), ( -1), 771322907, 549656486, 52648901, ( -1), 359889289, 888969580, 947911190, ( -1), 433635315, 461264013, 997774695, 92364953, 785960909, 998828888, ( -1), ( -1), 548588850, ( -1), 32442157, 971755471, 125010132, ( -1), 715069131, 517582713, ( -1), 703680215, 859390218, 943153685, 300102616, ( -1), 32327921, 751186104, 561656023, ( -1), ( -1), 861524033, 307189894, ( -1), ( -1), 485063588, 477327294, 735400705, 146740927, ( -1), 56960820, 51751305, 793018231, 714814500, ( -1), 688165065, 406121328, ( -1), 847570067, 968205358, 770010605, 313209510, 936419694, ( -1), 437210151, 442977944, ( -1), 488484072, 481026012, 456158018, 435309352, 309829519, 734137320, ( -1), ( -1), ( -1), 337269656, 99204703, 675555881, 491568326, ( -1), ( -1), ( -1), ( -1), 827622314, 924086529, 3109212, 258299, 427076634, ( -1), 439761189, 928013038, ( -1), 930564339, 677154020, 91801304, ( -1), 879293107, 981634126, 393696498, 28210931, ( -1), ( -1), 862650303, 312106351, 294762330, 765865705, ( -1), 843942436, 550119124, 667292471, 141128666, 229771778, 849364299, ( -1), 373571291, ( -1), ( -1), 430658232, 197440103, 895520519, 660823223, 746709528, ( -1), ( -1), 878806346, 64524006, 94344519, 85013305, 723530721, ( -1), ( -1), 308322623, ( -1), 30907261, ( -1), 897880059, 545763075, 423228442, 409192724, ( -1), ( -1), 775371373, 456216089, 295504985, 552331664, 18853733, 132291675, 977764605, 638055078, ( -1), 271122759, 641721128, ( -1), 969012094, 538740698, ( -1), 861867635, ( -1), 875165292, 155853955, 656646221, ( -1), 839970064, 287623999, 763901692, 261916503, 62771565, 862468798, 25684783, 851121783, 454773821, 784255479, 405986679, 657759221, 235926312, 479104895, 723055004, 604136298, ( -1), 864898611, 642912648, 468152826, 230725374, 941335127, ( -1), ( -1), 295998306, 132086127, ( -1), 978360396, 888041664, 922811342, 836568056, 526598650, 538896711, 303412613, ( -1), ( -1), 180945641, 616552331, 397757512, ( -1), ( -1), ( -1), 578953709, 849877038, 643983579, 832566896, ( -1), 962339058, 666005476, 965953611, ( -1), 535335894, 77508425, 131293241, 798001594, 302115066, ( -1), 326863749, 361432690, ( -1), 638789670, 488666799, ( -1), ( -1), 379606422, ( -1), ( -1), 616420798, 881421073, ( -1), ( -1), 378434961, 34906234, 755418624, 341874254, 923804144, 687473569, 424886008, 238141654, 399457541, ( -1), ( -1), 257708827, 644407479, 817347456, ( -1), 773244226, 600572954, 243486531, 452965406, ( -1), ( -1), 273609824, 440633212, 465710858, ( -1), ( -1), 872332784, 237716094, 458195668, 631150737, 949532331, 228156229, 422721216, ( -1), 884542070, 617418873, 280049214, ( -1), 218670040, 702700066, 365698994, ( -1), 658207679, ( -1), 371705322, 936161937, 861884564, ( -1), 518749679, 337420001, ( -1), 695380135, 916664247, 630070835, ( -1), ( -1), 477970092, ( -1), 278832203, 653962383, 91347751, 966157970, 665564052, ( -1), 478599626, 817943749, 125470210, ( -1), ( -1), 977184935, 495226905, 930078877, 337113978, 191221386, 985486183, 401224576, 411094126, ( -1), 744726928, 689685036, 197575205, 744027398, 618228140, 772811432, 509454475, 345292153, 31362553, 744300886, ( -1), ( -1), 212835514, 158154840, 802906524, ( -1), 7222764, 127550059, ( -1), 913206430, 747382252, 222236150, 728599084, 213590730, 898543045, 238041315, 649635079, 604787489, 687211162, 12841019, ( -1), 589814301, ( -1), 415597720, ( -1), ( -1), ( -1), 334522007, 408448072, ( -1), ( -1), ( -1), 97525059, 512586222, 118537869, ( -1), ( -1), 800526569, 30307075, 348747064, ( -1), ( -1), 136464898, 748810819, 83424468, 446062428, 203754766, 640080835, 244768716, 122294745, 339456625, ( -1), ( -1), 462352659, 800180879, 28817430, ( -1), 865107561, 500280920, 968885062, 841108983, ( -1), 496432342, ( -1), 246218470, 875349591, ( -1), 998942263, 217326742, 958797999, 491414325, ( -1), 140896897, 559278902, 125709557, 471892743, 60276938, 24458915, 690003224, 242893599, 998079192, ( -1), ( -1), ( -1), 280184567, 792818199, ( -1), 729354084, ( -1), ( -1), 939922184, ( -1), 940932945, 315746798, ( -1), ( -1), 1345227, 17861838, 904767963, ( -1), ( -1), ( -1), 297975029, 75984284, ( -1), ( -1), ( -1), 932607401, 768733744, 121539064, ( -1), 820864645, 72097184, 960802996, 506969956, ( -1), 748671665, 204372039, 360053105, 147878629, 400546571, ( -1), 950740550, 949936026, 692185257, 632460898, ( -1), ( -1), ( -1), 524515096, 594579450, ( -1), ( -1), 969447651, 66286772, 452000731, 561160476, 663942337, 570994199, 506144879, ( -1), 146620382, ( -1), ( -1), 846579803, 360497230, 279853062, 391317290, 412705883, 470491700, ( -1), 406782645, 860618932, 246195419, ( -1), ( -1), ( -1), 266803997, 571726413, 118106528, 56324080, ( -1), 831371531, 734685200, 764245462, 340419476, ( -1), 83722793, ( -1), 223646283, ( -1), 361261865, 416721590, 787009752, 972619661, 403167796, 42880680, 853927914, ( -1), 257714210, 910325464, ( -1), 372603094, 357501668, 471006292, 454234473, 56985896, 28192762, ( -1), 177902992, 280564307, 761260521, 99779820, 357711451, 739826045, ( -1), ( -1), 764756013, 419601543, ( -1), 498015988, 489834371, ( -1), ( -1), 382183927, ( -1), 403186678, ( -1), 907723670, ( -1), ( -1), 886210099, 756371435, ( -1), ( -1), ( -1), ( -1), 636058482, 568085305, 244718482, 212659098, 779586765, 553565481, 164589288, 811759145, ( -1), 779129134, 209064834, 662425012, 898058649, 753509587, 723592084, ( -1), ( -1), ( -1), ( -1), 220522119, 599089968, ( -1), 28220633, ( -1), 375450409, 221403956, 135181887, 764820093, 351486221, 489434014, ( -1), 638186212, 624709635, 175500522, 400183947, ( -1), 710927642, ( -1), 279342156, 295672090, 745502668, 520926366, 844587803, 486802818, 741594662, 478827714, ( -1), 847020853, ( -1), 641394822, 641222391, 950482955, 797756695, 347658363, 228822286, ( -1), ( -1), ( -1), 472824985, ( -1), ( -1), 381575513, 605565756, 551540175, 902877346, 211614679, 738204780, ( -1), 293618898, 371833772, ( -1), ( -1), 769488875, 363610547, 286527366, 367875560, 288709671, ( -1), 373882166, 214496690, ( -1), 337034684, 748278612, 604305475, ( -1), ( -1), 940332941, 741459169, ( -1), 665987416, ( -1), 975409987, ( -1), 895598710, ( -1), ( -1), 485568586, 215783482, 286955560, 428611599, 820568092, 245537225, 627889878, 198537616, 44813371, 502639504, 254813473, 360878598, 228317540, ( -1), 920298169, 828484213, ( -1), ( -1), 573948165, 579018127, 340229177, 524231646, ( -1), ( -1), ( -1), 262736129, ( -1), 293051643, 695544160, 627170441, 924161593, 880147088, 759806319, ( -1), 199476525, 814606316, 894570452, 110271978, 504619100, 792633580, 117125122, 887724294, 622596239, 929658231, ( -1), 739114782, 816884438, 870666577, 677725155, 573394902, 279621198, 254725079, ( -1), 517145373, ( -1), ( -1), ( -1), 743438561, 505866448, 269459648, 556029320, 219252885, 919699030, ( -1), 970668749, ( -1), 28985439, 796960697, ( -1), 331356650, 854977665, 239896088, ( -1), 281517348, 258725830, ( -1), 884847901, 479172706, 309589029, 477242964, 965824645, 707446280, ( -1), ( -1), 256500153, ( -1), ( -1), ( -1), 283104949, 978632738, 260611107, ( -1), 489306149, ( -1), 350899134, 954141428, ( -1), ( -1), 23387884, ( -1), 822247034, 518430497, ( -1), ( -1), 656676513, 187826307, 490489303, 989346531, ( -1), 876305827, 833786255, ( -1), 402994473, ( -1), 382150257, 40270921, 183182149, ( -1), ( -1), ( -1), 257365732, 538035212, ( -1), 901715907, 433362052, ( -1), 440202794, 300541950, 651808721, 845500371, 211675540, ( -1), 420549383, ( -1), 802074870, ( -1), ( -1), 629578417, 348485535, 295029135, ( -1), ( -1), 869644450, 591479026, ( -1), 951642517, 956898904, 849504430, 957638244, 751217112, ( -1), 656518220, 866726685, ( -1), 642619944, 118725012, ( -1), 675947434, ( -1), ( -1), 9203162, 67507851, 411847102, 974367486, 991311113, 865653171, 381660778, 2228462, 957971856, ( -1), 798211421, 855171990, 692593773, 198937401, 788469310, 395333358, ( -1), ( -1), 585039007, ( -1), 952391982, 631045767, 146717661, 778701220, 877230255, 345376451, 498972628, 172557215, 389308627, 716470942, ( -1), 145371187, 765330787, 933550284, ( -1), 564357744, 236728531, 468262323, 888669492, 125421247, ( -1), 466764278, ( -1), 862111118, 633687730, ( -1), ( -1), ( -1), 181559309, 621945555, 191672371, 505961453, ( -1), 565996077, 160984359, 107971818, 508584114, 246088470, 550668572, 640634662, 189195393, ( -1), 164421329, ( -1), 954019266, 912677260, ( -1), ( -1), 201779891, 711995489, 825012624, ( -1), 322714973, 357881982, 757477426, 47976496, ( -1), 912578619, 157694926, 546125146, 968082033, 603801327, 174980964, ( -1), 457767431, 94625367, ( -1), ( -1), 120894624, 78501141, 345002509, ( -1), 985291668, 571324478, 25580378, ( -1), 140117307, 837142012, 666051140, ( -1), 890750598, 531262421, 93614961, 116616314, ( -1), 672014086, ( -1), 472722268, 991769051, ( -1), 331950311, 897570561, ( -1), ( -1), 735789995, ( -1), ( -1), ( -1), 542954166, 794565243, 369202585, 286991696, 867731546, 965401321, 104648119, 590879134, ( -1), 518894694, 248557336, 76702956, 458385800, ( -1), 885266277, 605462254, ( -1), ( -1), ( -1), 934925369, ( -1), 944878329, ( -1), 755538367, 674550956, 76695853, ( -1), 148771103, ( -1), ( -1), 109859534, 361402402, 729914577, 634851236, 945429741, 183665683, ( -1), 458256160, 250056477, 397844602, 59447418, 590336505, 531260079, 897346863, 294966243, 272081446, ( -1), 228007282, 831268086, ( -1), 425810728, ( -1), ( -1), ( -1), ( -1), 49278007, 149828934, 335201924, 21482162, ( -1), ( -1), 544938906, 206075143, ( -1), 169049368, 545691374, 635541380, 464551092, ( -1), 509714171, 212114335, 617312606, 956416719, 511531437, ( -1), ( -1), ( -1), 455616365, 837076668, 461112220, 228272349, 610574895, 964179645, 835374227, 411036398, ( -1), 175724412, ( -1), 543953400, 116659807, 655339277, 600996094, ( -1), 546661474, ( -1), 435560842, 266587123, 798022115, ( -1), 870324038, 228720354, ( -1), ( -1), 169201732, 401161341, 299311266, ( -1), 694744800, 109368369, 152958654, 210144744, 158780993, ( -1), 501741319, ( -1), 250240682, 664093960, ( -1), 143307853, 798308572, 579161617, ( -1), 942335354, ( -1), 659576375, 849514025, ( -1), 924654658, 193858835, 952670937, 477179111, 138004277, 861284145, ( -1), 400294000, 437833269, ( -1), 676275575, 993909656, 978898721, 737920545, 904966510, ( -1), ( -1), 953474458, ( -1), ( -1), ( -1), 616039192, ( -1), 279186903, 16347618, 554835259, 331575522, ( -1), 724176367, 847079183, ( -1), 997822716, 694721419, ( -1), 465364465, 325274884, 133681300, ( -1), 856115154, 593120854, ( -1), ( -1), 195451600, 340439016, 107288021, 948413633, ( -1), ( -1), 284813540, ( -1), ( -1), 424825682, 423528964, 336719158, 87498470, 138642452, ( -1), 768198809, ( -1), 739822599, 566056118, 439313338, 656292235, 809007111, 815517164, 600859173, 29648508, 294783122, 514615319, 731964330, 185482343, 898967953, 708089192, 126754314, 906480074, 883134477, ( -1), 975105271, 100689121, ( -1), 278499500, ( -1), 253357153, 161177254, 954540185, ( -1), 392392043, 792029064, 990109520, 738877647, ( -1), 395401517, 705716740, 629222940, 329645385, 361711930, 743022246, 552396297, 916244941, 677800698, ( -1), 10252334, ( -1), ( -1), ( -1), 611739903, ( -1), 615521217, ( -1), 573995426, ( -1), 961806420, 175599184, 872591338, 293255319, 319868872, 470544838, 961750510, ( -1), ( -1), 349054296, 685013704, ( -1), 237729344, 278205038, 817307800, 812492590, 423099178, 302947681, ( -1), ( -1), ( -1), ( -1), 962490184, ( -1), 579852582, 899396897, 247399564, 987779347, 62822688, 165750012, 684039343, 999753648, 5269401, 909301219, 997083693, ( -1), 958581137, 45414084, 78803416, ( -1), ( -1), 779541645, 962763794, ( -1), ( -1), 304799302, 690222216, 772415345, ( -1), 349524646, 701244492, ( -1), ( -1), ( -1), 3460202, 291988761, 161058138, 304285647, ( -1), 225018188, ( -1), ( -1), ( -1), 873882332, 632509068, ( -1), 435106793, 126394504, 497724928, 583231467, ( -1), 397650375, 445204496, 508934441, 379679962, ( -1), 32382256, 797884285, 437626478, 658937732, 820271090, ( -1), 81738796, ( -1), 934710430, 567495833, 698786753, 304039948, 967457470, ( -1), ( -1), 712007880, 168733213, 623983033, 53807240, 913100658, ( -1), 566596605, ( -1), 730164569, 894931642, 209852297, 420935549, 390633138, ( -1), 707162059, ( -1), 846990357, 801618311, 767078012, 875167843, 977075675, 722744391, ( -1), 586717652, ( -1), 532350009, 29876642, 770617273, ( -1), 790557800, 605893917, 142978669, 571877036, 456769976, 324656017, ( -1), ( -1), 101216871, 412290428, 173217128, 145840519, ( -1), 338704661, 584434294, ( -1), ( -1), 776290408, 475456361, 23306449, 616958137, 64391388, 422462944, ( -1), 394389237, 46467296, 810127789, 906719499, 414117714, ( -1), 762965036, 598071719, 731185495, ( -1), ( -1), ( -1), 270080594, 262197771, 653171228, 314031642, 526264308, 986515713, ( -1), 242661296, ( -1), ( -1), 760207329, 470646438, 641721305, 612713969, ( -1), 117248175, 954277884, 929212775, 524981581, 409978623, 293290566, ( -1), ( -1), ( -1), 987297706, 889858280, 739839343, 832850606, 215328779, ( -1), 595252337, 220848457, 356016844, 650611305, ( -1), 10351620, ( -1), ( -1), 894279410, 645148424, 33179350, 80998847, 417721801, ( -1), 319055043, 964317456, ( -1), 949229870, 745190165, 413838170, ( -1), ( -1), 624995656, ( -1), ( -1), 888449159, ( -1), 360095124, ( -1), 924248370, 560806344, 414840044, 498696462, 428377172, 257353796, ( -1), 466703412, 766622673, 254090553, 548486022, ( -1), 616002357, 303552950, ( -1), ( -1), 711360054, ( -1), ( -1), 52316062, 507603972, ( -1), 611915794, ( -1), 129134048, ( -1), ( -1), 275436323, ( -1), 550836089, 847722102, 405151004, 494957204, ( -1), ( -1), ( -1), 770996299, 773422602, 668725399, 353134534, ( -1), 802727166, 251812890, 218060678, 315554025, 429079338, 22625319, ( -1), 382975543, 730454667, 525416027, 302962969, 574599695, ( -1), 548578479, ( -1), ( -1), ( -1), 811678167, 627014526, ( -1), ( -1), 221894319, ( -1), ( -1), 320781159, 351254998, ( -1), ( -1), 610265675, 988759692, 341043376, 739512694, 306042865, 249477934, 133413655, 830527609, ( -1), 520641621, ( -1), 691762218, 694819089, 299695692, ( -1), ( -1), ( -1), 864873506, 926724779, 854484284, 748095100, 613198545, ( -1), 658529117, 117675584, 588199549, 352872964, 504581545, 578824655, 719222045, 326322872, ( -1), ( -1), 521681991, 653558363, ( -1), 254082220, 309942639, ( -1), ( -1), 944528211, 287371537, 316711599, 522918252, 956854060, 8048076, 375425275, 837766045, ( -1), ( -1), 746978833, ( -1), 697068703, 652079701, 990998010, 691962489, 135183259, 556385323, 81014703, ( -1), 552713023, ( -1), 954693036, 875333999, 555686377, ( -1), 800956133, ( -1), 8008897, 801979486, 901469327, 394782061, ( -1), 314386196, 15880484, 370036973, 613263175, 712546568, 71920461, ( -1), 774198531, ( -1), ( -1), 450896318, 402343144, 45103102, 897300332, 461117006, ( -1), 960446109, 787544187, ( -1), 803505205, ( -1), ( -1), 993837826, 747660271, ( -1), 939544093, 582827486, ( -1), ( -1), 514675539, ( -1), 318377089, ( -1), 797601651, ( -1), 38037528, ( -1), 614241393, 718927512, ( -1), ( -1), ( -1), 148033130, 33636583, ( -1), ( -1), 412951910, 925906130, 52816924, 18765612, 500132901, 137150621, 715288175, ( -1), 4436988, 874004668, 578076892, 541219987, 598057232, 916047358, 815861198, ( -1), 369671291, ( -1), 871164061, 209057022, 819767446, 419903672, ( -1), 668367783, ( -1), 682866337, 83985017, ( -1), ( -1), ( -1), 228193876, 50576555, ( -1), ( -1), 370348114, ( -1), 23587823, ( -1), ( -1), 115035816, ( -1), ( -1), ( -1), 90431917, 950802146, 405927511, 885496008, 482620961, 599592777, 193958408, 750271397, 557528744, 11981848, ( -1), 625008295, 974612422, ( -1), 159720499, 491578368, 156512809, ( -1), 671086636, 467881934, ( -1), 101409062, 793237739, 395485410, 144472336, 755195360, 154670310, ( -1), 69712883, ( -1), ( -1), ( -1), 550959085, 1294728, 878824997, 411284969, 847908235, ( -1), 267732830, ( -1), 691505763, ( -1), 20997123, 700002068, ( -1), ( -1), ( -1), ( -1), 13960806, 408666832, 416139985, 104283263, 379513911, ( -1), ( -1), 502355541, ( -1), ( -1), 544642743, 932552542, 683765782, ( -1), 923206987, ( -1), 111374998, ( -1), ( -1), 941693554, ( -1), ( -1), 455331729, 272058228, 211336152, 162750126, 734239210, 495398323, ( -1), ( -1), ( -1), 95974677, 173691630, 4094779, 31794252, 251442851, 732697216, 128782151, 133435041, 321322496, 593217958, 55803112, 427504591, ( -1), 548311296, 625153843, 581441314, ( -1), 442137457, 221650535, 376753565, ( -1), 625077641, ( -1), 629970966, ( -1), ( -1), ( -1), 553203736, 404835811, 518043677, ( -1), 469621906, 39401396, 533254010, 622029263, 359853018, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 822593417, 352956895, 913008841, 566983731, ( -1), 287863510, 327144786, 554615219, 824048635, ( -1), 588242176, 266592670, 409743763, ( -1), ( -1), ( -1), 850083146, ( -1), ( -1), ( -1), 896701368, ( -1), ( -1), 729658773, ( -1), ( -1), 558437537, 613816210, 328254029, ( -1), 908142185, 571215278, 605243537, 348036400, 195718909, ( -1), 58530190, 271885184, 579343201, 865958230, 462942737, 336129130, 95176262, 277124200, 110759967, 439817780, ( -1), 675701636, ( -1), ( -1), 428479352, 468099449, 338421524, 667631077, 431326353, 943287427, 715762067, 368230644, ( -1), ( -1), 606132336, 721028474, ( -1), ( -1), 145214003, 219012838, ( -1), 122657356, 822665136, 196375176, 454972490, 512012096, 284663401, ( -1), 854558605, 802234259, 558118153, 363270141, 941509423, 333307531, ( -1), 743883445, 586365572, 138429639, 207457884, ( -1), ( -1), 368742962, 620459029, ( -1), 408763486, ( -1), 963122351, 757035887, 112043562, ( -1), 233014350, 622651708, 477413268, 143458278, 457681438, 966772083, ( -1), 75597320, ( -1), 35020172, 976789183, 261277059, ( -1), 309937374, ( -1), 25283998, 47372882, 585033898, 193602852, ( -1), 380848234, 872101106, 108330226, 761220894, ( -1), 447492651, 43982813, 274901840, ( -1), 427907004, ( -1), ( -1), 216452237, 510063448, 316491576, 417319772, 95032365, ( -1), 894447327, ( -1), 377926428, 119754039, 362832373, ( -1), ( -1), ( -1), 50901188, 772895984, 416776957, 25904645, 192647178, 798535529, 428155061, 102947350, 58829491, ( -1), 269547583, 207870217, 268468868, 986168058, 2687845, 772749839, 794227696, ( -1), 223307257, 662575571, 556658170, 792675159, 403409746, ( -1), ( -1), ( -1), ( -1), 376426007, 853101276, ( -1), 103723102, 882777841, 768012796, ( -1), ( -1), 495547414, 629609388, 167612113, 496906721, ( -1), ( -1), ( -1), 670593453, 836225934, 485073757, ( -1), ( -1), ( -1), 881219019, 685947012, 480009819, 914102093, 857846770, 491802791, 219023427, ( -1), 530635887, 581724393, 630248676, 534484343, 969951344, ( -1), 590101948, ( -1), 614943441, 768811356, ( -1), 574583874, 233834821, ( -1), 567305683, 383334396, 417071354, 767523897, ( -1), ( -1), 693842458, 607265567, 937394301, ( -1), ( -1), 128931738, 260646076, 330502427, 601041645, ( -1), 273916076, ( -1), 132176576, 991286275, 504608664, 720229613, 146790159, 317373912, 555199722, 935292159, ( -1), ( -1), 889950880, 832214210, 974154081, ( -1), 560400613, 621367602, 939740146, 491095290, 372294899, 226142581, 99844754, ( -1), ( -1), 73531436, 842025398, 532698692, 696761103, ( -1), ( -1), 767585844, 949440090, ( -1), 598400563, ( -1), 528187912, 730946151, 99019323, ( -1), ( -1), ( -1), 98039305, ( -1), ( -1), 446089996, ( -1), 698666928, ( -1), 106176596, 919601190, 795753212, 713343903, 374037966, 692915403, 959956967, 476658116, ( -1), 18157616, 506666980, 890865900, 49922863, ( -1), 397619824, 334998606, ( -1), ( -1), 408638439, 657366815, 689706743, 431643036, 70898315, ( -1), 185314269, 965292613, 743247564, ( -1), 851310374, ( -1), 280771870, 700964071, 307412251, 442801888, 371341439, 656481732, 313208970, 44347858, 243360085, 293849189, 979899222, ( -1), ( -1), ( -1), 178840085, ( -1), 403298851, ( -1), 262733562, ( -1), 917034029, 196549506, 915933877, 920445977, 706838881, 191095466, 823765883, 92580722, 679363990, ( -1), 435154525, ( -1), 320386071, 248739830, ( -1), 189525752, ( -1), 394262803, 638550804, ( -1), 189480141, 864895171, ( -1), 302453357, 824808547, ( -1), 958054720, ( -1), 843275046, ( -1), ( -1), 820450730, 922320227, 556716075, ( -1), ( -1), ( -1), ( -1), 923704462, ( -1), 622854912, 849080369, 442178888, 75120771, 627746543, 95830332, 357700293, 319189051, 560776578, 848482169, 204434577, 463742232, 908752883, 222844041, 84970027, 790580030, 193168629, 734611198, 46791498, 867912291, ( -1), 521717572, 846488557, 377348143, 312948392, ( -1), ( -1), ( -1), 584169608, ( -1), ( -1), ( -1), 714100086, 762639090, 837075361, 405916101, 486355663, 726425950, ( -1), 873967300, 821145145, ( -1), 221307502, 869383804, ( -1), 683320247, 647597985, 689566416, 481459145, 538235165, 476497783, 455817887, 640662438, 677006254, ( -1), 182739125, ( -1), ( -1), 753555319, 3697355, 190571196, 52870133, 250541927, 848960072, 73220870, 470025719, 746470795, ( -1), 191921026, 970627601, 304508996, ( -1), 667358772, 295946824, 50253717, ( -1), 691127164, 400807044, ( -1), 214619923, 990887151, 143795476, 785135937, ( -1), ( -1), ( -1), 9202449, ( -1), 343976903, 159310639, 102775080, ( -1), 128062613, ( -1), ( -1), 978407103, 663534554, 966599172, 843547269, ( -1), 315800532, 570160417, 600472328, 646753100, 570628745, 798269703, 920115793, 502914931, ( -1), ( -1), ( -1), ( -1), 547597925, ( -1), 318955816, 185136783, 917905537, ( -1), 810144086, 208054636, ( -1), 340931691, 75606745, 968798139, 184310488, 591307683, 753740124, ( -1), 129130654, 930223293, 518061348, ( -1), 656227879, 745814517, 466161411, 416988620, 688389121, 536160099, 706586894, 151188614, ( -1), 165059402, 696158652, 773880366, ( -1), 224807802, ( -1), ( -1), ( -1), ( -1), 151488862, 981518839, 917368832, 965486179, 847392555, 91191736, 770101611, ( -1), ( -1), ( -1), 109144288, 492064920, 745889517, ( -1), 5141910, 84220172, ( -1), 500101096, 225273358, 618325857, 927238895, 377741861, 733930528, ( -1), 882437177, 978486648, 769463531, 728015218, ( -1), ( -1), ( -1), 16496176, ( -1), ( -1), 963454836, 777744317, 724009958, 856055953, 43617885, 261077860, 959418031, 393188365, ( -1), 9804002, ( -1), ( -1), 229540222, ( -1), 127742957, 551438649, ( -1), 46893242, 14271076, ( -1), ( -1), 48092620, 449940122, ( -1), 281872049, 381004161, ( -1), 753243694, 651997028, 430218395, ( -1), 24893516, 841821335, 557124076, ( -1), ( -1), ( -1), ( -1), 808489735, 958416338, ( -1), 363942909, 939453534, ( -1), 226987171, 968575148, 94413529, 872841941, 143258210, ( -1), 36935441, ( -1), 272739800, ( -1), ( -1), ( -1), 266837360, 964911170, 409673895, 346270663, ( -1), 417719952, 829301581, 119223776, ( -1), 781879609, 829512140, 778870053, 400934016, ( -1), ( -1), ( -1), 467571680, 537986616, ( -1), 818462781, 710087431, 32520790, ( -1), 762130841, ( -1), 728741764, ( -1), ( -1), 167173395, 652396108, 138987382, 815383692, 297776036, 965181470, 746799868, ( -1), ( -1), 352387574, 328971531, ( -1), 165826950, 566576227, 918894152, 253901135, 889145308, 48840020, 695047616, 762248024, 145750521, ( -1), 403547036, ( -1), ( -1), ( -1), ( -1), 137309930, 849553943, 244719077, 267275865, ( -1), ( -1), ( -1), 727581760, ( -1), 978449550, 130443570, 872387992, ( -1), 82618332, 618446764, 470363874, ( -1), 666493446, 778358142, 913981817, ( -1), 742156488, ( -1), 19989364, 834590867, 917851694, 188308154, ( -1), ( -1), ( -1), 791517497, ( -1), 980847117, 548730196, 455457071, ( -1), 30915216, 69614427, ( -1), 888517443, ( -1), ( -1), 313313172, 767092020, ( -1), 374437771, 549653026, 411168930, 778415947, 998374051, 453596322, 11446014, 78870965, ( -1), 344266928, ( -1), ( -1), ( -1), 739461972, 609539054, 792507348, ( -1), ( -1), 365573341, ( -1), 387134621, 251111283, 704929997, 578499144, 693759850, 170624414, ( -1), 624815799, ( -1), 244594629, 6049709, ( -1), ( -1), 387851486, 450872304, 496899531, 634478692, ( -1), 699393281, 951715730, 933284361, 98098042, 14615095, 964971937, ( -1), 304716861, 229665556, 543730582, 893469238, 806615498, 872211005, 684946878, ( -1), 673707914, ( -1), ( -1), 375627409, 819154681, 654786361, 15576142, ( -1), 311391778, 189836540, 870804143, 699423061, ( -1), 583737001, ( -1), 241475917, 732061342, 567253597, 661838365, 866645114, 430323553, 154796086, ( -1), 189784691, 174394032, 114159743, 478022016, 330404611, 73549469, ( -1), 308979051, 421166096, 317183020, 339105558, ( -1), 93521064, 609244450, 355617488, ( -1), 14085242, ( -1), 20759826, 717610188, 430770693, 905116887, 27512232, 495545654, 884410206, 96389628, 528197728, 715476379, 333709635, ( -1), 784295755, ( -1), ( -1), ( -1), 582701548, 150272502, ( -1), 871113097, 166567128, ( -1), 171762905, 770029742, ( -1), 798345104, ( -1), 872967987, 308654241, 615760630, 559248487, 784625273, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 974835182, 843017809, 334413963, ( -1), 74587387, ( -1), ( -1), 141097209, 289200037, 213357258, 531161898, 964558982, 576839873, 749049650, 165825689, ( -1), 527009012, 436555289, 277727215, ( -1), 22119505, 705438046, 134555802, 150998933, 478197793, ( -1), 638976847, 183045189, 248686350, 141697721, ( -1), 534374715, ( -1), 87234991, ( -1), 150011623, 327497275, ( -1), 391661143, 424391431, 615975771, 186908907, 146342206, 636367559, 29094425, 548130454, ( -1), 766218267, ( -1), 94009280, ( -1), ( -1), 596939754, 162410430, 698175250, 834901779, 561388032, ( -1), ( -1), 979440601, 963502699, ( -1), ( -1), 377611218, ( -1), 705154416, 610019516, 666295863, 264299160, ( -1), ( -1), ( -1), ( -1), 558105485, 239522707, ( -1), ( -1), 415873013, 564579447, ( -1), 602884928, ( -1), 337955270, ( -1), ( -1), 200239968, ( -1), 163669228, ( -1), ( -1), 138699410, 363692612, 961633031, ( -1), 131735428, 682232798, 936788938, ( -1), 955078709, ( -1), 800963546, 943502673, 587689440, 858456176, ( -1), 179398600, 650882988, 916996609, 156323574, 267004185, 135485910, ( -1), 597423858, 489671458, 73298982, 335206760, 574035057, ( -1), 916277374, ( -1), 274249810, 627520890, 884141042, 258176519, 149017011, 140653733, 379602908, 637015033, 445504604, 937141159, 360990698, 910058220, 916738215, 931681705, ( -1), 670672292, 384969755, 231344031, ( -1), ( -1), 213082483, 527038561, 808043907, ( -1), ( -1), 948312821, 151581398, ( -1), 438101769, 493074597, 428308743, 174108568, 9715073, 321622541, ( -1), 934763531, ( -1), 189011808, ( -1), ( -1), 637037039, 115685632, 760069608, ( -1), 83524772, 71637709, 893032989, 772892291, 54247940, ( -1), 213948742, 596444019, 111296680, 362276617, 195903849, 96036709, 127925360, 70289765, ( -1), 31098327, ( -1), 237171893, ( -1), 765399773, 573770790, 33602771, ( -1), 934831593, 569821162, 446014501, 841565298, 461398700, 909168691, ( -1), ( -1), 719951126, ( -1), 563557318, ( -1), 722818749, 937221807, 70598689, ( -1), 909563797, 612723570, 388075509, 415021259, 308227049, ( -1), 254944457, 681387701, ( -1), ( -1), ( -1), 858531470, 204643228, 705109961, 290337074, 752951651, 336314235, 34172024, ( -1), 767139349, 649525338, 887347500, ( -1), 551559093, ( -1), 620365875, 36773022, 450572985, ( -1), 787552017, 903305123, ( -1), ( -1), 247212883, ( -1), 956211407, 922665504, 510391875, 463489812, 964441574, 291776290, 391469176, ( -1), 903372923, 729247887, 472760668, ( -1), 413509998, ( -1), ( -1), 110850137, ( -1), 993342007, 544912448, 958423854, 860368155, 517079303, ( -1), 330141399, ( -1), 809200700, 704222961, ( -1), 999460748, 289612862, 21898560, 3154982, 883838465, 36095896, 106118091, 618766547, ( -1), ( -1), 806147207, 961254926, ( -1), ( -1), 427659889, ( -1), 603082348, 307418908, 529978377, ( -1), 614982087, ( -1), 498893817, ( -1), 615879499, 688304523, 589164391, 158261617, 227507678, 721699449, ( -1), ( -1), 82229735, 815564528, ( -1), 933540439, ( -1), 150265674, ( -1), 92953229, 454988188, 67250523, 782277867, ( -1), ( -1), 445331084, 723332132, 348934796, 347797129, 650435280, 81802128, 330778031, 270268684, ( -1), ( -1), 943080928, 549011944, 488333257, 776323847, 760627559, 228067378, 109878025, 717720217, 13082769, 825971318, 371362384, 961217189, 634299327, ( -1), 24114342, 842608565, 298921438, 509971291, ( -1), 769712981, 935263018, 249654222, 830518422, ( -1), 992142734, 369274225, 547183563, ( -1), 966738456, 718089890, 996424916, ( -1), 199425792, ( -1), ( -1), 901927641, 471361230, 292880239, 272618589, 613816465, 624742951, 180588, 949410400, ( -1), 181840307, 300087090, ( -1), 749121851, 404441409, 430932650, 249744410, 410222150, 831452303, 556998747, ( -1), ( -1), 993611979, 963134383, 737939324, 114407405, ( -1), 124500966, ( -1), 667296479, ( -1), ( -1), ( -1), 335537903, 123450775, 493776821, 632890541, 396492455, 361798651, 91439383, 384254861, 358392325, 547578476, ( -1), ( -1), 916475853, 135075327, 373534656, 178793816, 570258919, 238800517, 922756736, 584412807, 38623730, ( -1), ( -1), ( -1), 355338721, 735940021, 643218886, 786055759, 673730751, 77940862, 55613321, ( -1), 691452659, ( -1), 921857784, 405163823, 695282172, 589475341, 935700148, 944110531, ( -1), 505947730, 691303791, 719353131, 1169133, 634863507, 994182556, 611208864, 482422340, 633905508, 910991602, ( -1), 377735946, 830838552, 821293997, 286070124, 76300287, ( -1), ( -1), ( -1), ( -1), ( -1), 250693453, 539601244, 463656834, ( -1), 839311042, 518533529, 729443943, 576330095, 245854167, ( -1), 39970392, 520913626, 939210733, 680764342, ( -1), 417527363, 45670794, ( -1), 130268450, 158685601, 106500340, ( -1), 188436970, 605813071, 520436720, 425270477, 60787715, 878415843, 297109703, ( -1), ( -1), 51257426, 791838634, ( -1), 56615649, 601421063, 886668794, ( -1), 226617367, 30446093, ( -1), ( -1), 84117199, 336428382, 476425302, 806276603, 635269061, 976711131, 393512269, 398576752, 987047775, ( -1), 119124753, 6453745, 493464678, 816783271, ( -1), 438635213, 503999872, 658139834, 499887584, ( -1), 260436443, ( -1), ( -1), 640806241, 663688446, 540610780, ( -1), ( -1), ( -1), 783727675, 966635981, 642211850, 623910461, 519183197, ( -1), ( -1), ( -1), 575737187, ( -1), ( -1), 276535326, 100012586, ( -1), 871121016, 673702333, 888870759, 64322621, ( -1), 719148956, ( -1), 845628203, 762674576, ( -1), ( -1), 901188001, 504316895, 762120716, 652040307, 77745376, 406637575, 228304280, ( -1), 833035194, 255798696, 904594717, 541330552, 112780532, 331738, 651396462, 43943640, 916275643, 763142538, ( -1), 960570886, 444218311, ( -1), 853813495, 19618184, 360928061, 304091445, 22533429, ( -1), 404749660, ( -1), 457586273, 182379357, 71962566, ( -1), 459846456, 641679383, 449662645, ( -1), ( -1), 203887931, 18400948, ( -1), 431952138, ( -1), 18537168, 514762811, ( -1), ( -1), 696093938, 945379534, 825994408, 595334828, ( -1), 163906539, 766340976, ( -1), 953889250, 811192495, 489602600, 197443736, 935687297, ( -1), 804371038, 715514228, 44012038, ( -1), ( -1), 117134207, 69182071, ( -1), 900285587, ( -1), 115394421, ( -1), ( -1), 623366948, 623663456, 595135492, 808511325, 157894422, 732682524, ( -1), 255499422, 773884505, 525667000, 187143586, 975222211, ( -1), ( -1), 653270358, 343023485, 995711724, 490632655, 692368994, 768132063, 237513651, ( -1), 168580923, 315679629, 57166166, 449509544, 816509785, 267406732, 760825636, 720773152, 421047136, 461411850, ( -1), 499793835, ( -1), 611069179, 661667882, 367177361, 66048474, 899574872, 542341410, 620198256, 446050244, 769855260, 920774364, 672305655, 1514192, 966877338, 345807458, 355529632, ( -1), ( -1), ( -1), 245616733, ( -1), 211068090, ( -1), ( -1), 772230515, 926139307, 749383737, ( -1), 579589659, 312906500, 25337042, 784079498, ( -1), 694855289, 345395175, 828455339, 487023178, 907260979, ( -1), 772936432, 515338158, 466148012, ( -1), 446511380, 20558700, ( -1), 84692344, 484566570, 165492861, 846817533, ( -1), 860685168, ( -1), 793258314, 258399503, 803238343, 107078480, 695725937, ( -1), ( -1), 75667888, ( -1), 75036491, ( -1), 596209362, 10404077, ( -1), ( -1), 305314157, 852238042, 483207092, ( -1), 204604924, 45742555, 707967547, 148028882, 234977479, 414070853, ( -1), 5578475, ( -1), 163154795, ( -1), 364329660, 76847014, ( -1), ( -1), 853557745, ( -1), ( -1), ( -1), 835929852, 434823903, 361389262, 89392432, 264761866, ( -1), 769680436, 617165267, 171459090, 633961497, ( -1), ( -1), ( -1), 605793972, 220388877, 825060012, 541438434, 410931234, 808536960, ( -1), 852489797, 341263213, ( -1), ( -1), 183041313, 865052910, 381888154, 197969588, ( -1), 731816147, 338449336, 259349975, ( -1), ( -1), ( -1), ( -1), 777717602, 122628932, 656804350, 167592817, ( -1), 66645470, 306410703, ( -1), 429585331, 810944080, ( -1), ( -1), 421056405, 507224213, 96651934, 514551331, 688901027, 585862577, 137549826, 101328512, 733344452, 174310820, 938287338, 256677453, ( -1), ( -1), 989393480, 451893419, 6053335, 130396429, 686281283, 793081877, 823024184, 702016584, ( -1), 288524105, 195141907, ( -1), 694905210, 189564302, ( -1), 831081414, 519344894, 560077800, ( -1), 711010325, 718762421, 710980314, ( -1), 711430322, 330252631, 224223808, ( -1), 355844343, 988775742, ( -1), ( -1), 908016575, 855254324, ( -1), 103003064, 957666870, ( -1), 639053746, ( -1), 155840485, 910690994, 533301654, ( -1), 746064844, 423246565, 291214962, 192952843, 954239872, 222357876, ( -1), 563363441, 605660013, ( -1), 49342349, 248604585, 784007996, 216698593, ( -1), 443459834, 869646186, 351306900, 385383695, 752499355, ( -1), 517933717, 333174429, 590270815, ( -1), 728600099, ( -1), 939812874, ( -1), ( -1), 118214781, 5243694, ( -1), ( -1), 675772346, 909651951, 681587207, 28654889, 744722544, ( -1), ( -1), ( -1), 361634698, 865826953, 477389851, 593115657, 686235483, 790029130, ( -1), 140401395, ( -1), 350999033, 184584659, 941446749, 644205638, 287644265, 554713547, 7643158, 68172488, ( -1), 96941472, 262623493, 405241405, ( -1), 592076349, 928434880, 277635200, 292927370, 738447700, 573204323, ( -1), 292869727, ( -1), 536623112, 359805849, 264633442, 253022804, 512765297, ( -1), ( -1), 286988929, 273746976, 215369189, 889610026, 559293164, 871681754, 76400412, 513323191, 575496963, 935990929, 851785218, ( -1), 716622021, ( -1), ( -1), 999981484, 831764258, 728798211, 233250896, 915670035, 845886062, ( -1), 105718903, 125938540, 108732085, ( -1), 545596935, ( -1), 588698720, ( -1), 3829167, 993220180, 226432413, 632562881, 729177639, ( -1), 312668559, 344204821, ( -1), 4095221, 374424030, 258150489, 282013192, ( -1), ( -1), ( -1), ( -1), 873193308, ( -1), 474841217, 266264914, ( -1), 27494772, ( -1), 928736673, ( -1), 583922291, 74888170, 143541124, 426419945, 434136964, 863329131, ( -1), 353569746, 309172512, 762672712, 143306245, 987645983, 563546102, 485066174, 970507048, ( -1), 534481921, ( -1), 303005476, 393848803, 479891858, 375217967, 664046618, 385297206, 577924652, 433032491, 619668772, ( -1), 166713256, 818680139, 523978845, 94530436, 610638692, ( -1), 144724677, ( -1), 43730478, ( -1), ( -1), ( -1), 258855916, 975177668, 910525224, 740768636, 69453109, ( -1), 602880575, ( -1), 617432809, 808081830, 149722759, 124901451, 725801099, 791750896, 62566280, ( -1), 581461879, 794118445, 812360105, 544764831, 739296786, 335413379, ( -1), ( -1), ( -1), 280873233, 76916490, ( -1), 653705316, 999528684, 583467727, 166823279, 701525190, ( -1), 711659241, ( -1), ( -1), 520803345, ( -1), 337831663, ( -1), 466797050, 796914943, 530442786, 687659186, 235420562, 361562313, ( -1), 504699346, 83037422, ( -1), 591870158, ( -1), 545570077, 538163910, 487786580, 591554303, 374743697, 178540775, 261636029, ( -1), ( -1), ( -1), ( -1), 915486247, ( -1), 758283019, 131371448, ( -1), ( -1), 704747483, 890159337, 953021669, ( -1), 624806385, 659158712, ( -1), 300706112, 563280824, ( -1), 44280269, 748925361, ( -1), 312509884, 42871623, ( -1), 589886169, 996536372, 252909913, 357887006, ( -1), 95888404, 427136269, ( -1), 320896956, ( -1), 36728260, 889689833, 907395033, ( -1), 778221336, 112542808, ( -1), ( -1), ( -1), ( -1), 334732863, 128339856, 869573282, 600917749, 87748328, ( -1), ( -1), 553745935, ( -1), ( -1), 787268029, 74607435, 585485050, 147119283, 229795866, 835285621, 972128853, ( -1), ( -1), 935968338, 756776486, 40264678, 798333073, 131167823, 74758740, 384853274, 358391258, 113390794, 236387702, 638946236, ( -1), 389328305, 180887566, ( -1), ( -1), 400668133, ( -1), ( -1), 704961360, 157083242, ( -1), ( -1), 511571983, 321195931, ( -1), 182721195, 139585040, 762782419, 498233794, ( -1), 642781493, ( -1), 654066927, 268394412, 87120896, 566560081, ( -1), 624856103, ( -1), 770250658, 740931651, ( -1), 989522574, 575916733, 372699931, 403927877, 493846713, 496757529, ( -1), ( -1), 669487898, ( -1), 434992709, 878917916, ( -1), 861923176, ( -1), 876446201, ( -1), 653748121, ( -1), ( -1), 803586959, ( -1), 985179420, 284732126, 656543384, 535624589, ( -1), 973270861, 249036140, 793948761, ( -1), 371713482, 358897394, ( -1), ( -1), 451784095, 33366644, 632000064, ( -1), 831464415, 637066032, 468152811, 576162730, ( -1), 765542464, 197367813, 671607546, 688158093, 973456591, ( -1), 418118768, 979796721, 176313866, ( -1), 57405290, 401544711, 465740943, ( -1), 816991660, 314492624, 178799971, ( -1), 414041814, ( -1), 824228259, 262309043, 887074010, 255977416, ( -1), 159808859, 405927007, 84565906, ( -1), 299466208, 329631898, ( -1), 766827912, 616350734, 444403957, 663790392, 435737308, 580285435, 219977667, ( -1), 297597630, 42550253, 281767172, 839542164, 936155818, ( -1), ( -1), ( -1), 37225610, ( -1), 248686554, 139159024, ( -1), ( -1), 665690770, 658136066, ( -1), ( -1), 564595930, 147625921, ( -1), ( -1), 46694630, ( -1), ( -1), 726432965, 199338927, ( -1), 691679572, 42435234, 543472150, ( -1), 220762394, 506933446, 790254463, 980312569, 351919370, ( -1), 804752196, ( -1), 419374312, 994063846, 631764227, 344774356, 68270788, 473713317, 1737883, 648153490, ( -1), 467259144, 621984497, ( -1), 887943894, 365360507, ( -1), ( -1), ( -1), ( -1), 391198017, 699391697, ( -1), 535048518, ( -1), ( -1), ( -1), 312521776, ( -1), 933925793, 309719684, 543842662, 801198404, 29567712, ( -1), 981283767, 35379414, 197819317, 616838560, ( -1), 677646454, 965421987, 894307441, 655637080, 206036527, ( -1), 481745911, ( -1), 470227832, 49788794, 692855852, ( -1), ( -1), 463181365, 997337449, 562392775, 746154047, 734547100, 408972764, 423054814, 908366648, 221431185, ( -1), 754528645, 948498367, ( -1), 253487458, ( -1), 750993957, 906049374, ( -1), 178057806, 130908526, 207732519, ( -1), 749803265, 560862666, 560003362, ( -1), 897931364, ( -1), 426892931, 642815404, 555837528, ( -1), 864151866, 558846393, 317405232, 737902006, 402041581, 79685648, ( -1), 322959753, ( -1), 243656336, 443555661, ( -1), 491443699, 126728290, ( -1), 636279323, ( -1), 133391230, 512909486, 328174786, ( -1), 546371287, 436310215, 430654241, 107313380, 127029161, 349678470, ( -1), 104444818, 152022558, 580000580, 650082639, 333195945, 729831847, ( -1), 506405240, 47451072, 429770760, 865323977, 233445823, ( -1), 154310917, 652715634, 750173993, 660071025, ( -1), 90844238, 674063851, 955415082, 493414658, 292935773, ( -1), ( -1), 999279260, ( -1), 431294298, ( -1), 101925923, 838541909, 293240109, 902155388, 414580981, 743150752, 549198676, 350199603, ( -1), 956394040, 880460802, 744165092, ( -1), 95758889, ( -1), 468934606, 658842656, ( -1), ( -1), 140528994, 625631655, ( -1), ( -1), ( -1), 751340464, 766070106, 302870740, ( -1), 332984066, 785548323, 96560726, ( -1), ( -1), 898554865, 968406010, 626976276, ( -1), ( -1), 678135245, 669356529, 746274787, ( -1), 391858734, 458064596, ( -1), 172605739, 885708591, 415363297, 349926752, ( -1), 415778603, 731735305, 112693381, 192958534, ( -1), ( -1), ( -1), 565860840, 704108047, 908534935, 516890628, 179537229, 561203405, 423475682, 697892213, 32178748, 82159059, 45059740, 407437643, ( -1), ( -1), ( -1), 957867263, ( -1), 698874919, ( -1), 298129937, ( -1), ( -1), 860869879, 463425633, 62408123, 545493866, 341133815, 861678202, 230457364, 681974778, 257971239, 254942643, 514896308, ( -1), 763146645, 791009286, 497078805, 677287841, 266488265, ( -1), 222679268, ( -1), 441758085, ( -1), 815831013, ( -1), 229378878, ( -1), ( -1), 274464101, 96307504, ( -1), 339454798, 455363159, 268062544, 357751379, 511392167, 655381582, 468584656, 133686148, 586349618, ( -1), 520286986, 302022740, 264649108, 88326239, 19775643, 130564730, ( -1), 325927981, 281202881, ( -1), 22756843, 427186739, 771816077, ( -1), 203254748, ( -1), ( -1), ( -1), 861550355, 87050900, ( -1), 330151316, 288827472, 288840918, ( -1), ( -1), 685000997, ( -1), ( -1), 202706850, 826381144, 995100557, 818436003, 274759109, 728652849, ( -1), 323414450, 830594627, ( -1), ( -1), 527911204, 123583446, ( -1), 481606685, 725866408, 715759615, 400331545, ( -1), 706315069, 845296107, 597468398, ( -1), 361733905, 124618751, 563692787, 201740616, 795995319, ( -1), 678712117, 174290779, 760936904, ( -1), 501602489, 218892690, 234318317, ( -1), 803792746, ( -1), 143121436, 451768559, 886238597, 199820265, 979509369, 805349709, ( -1), 43269560, ( -1), ( -1), 810522987, 558301519, 329767055, ( -1), 420147053, 686863141, 468345997, ( -1), ( -1), 723045049, ( -1), 759609662, ( -1), 638077765, 506159286, 808786995, ( -1), 391090269, 650256354, 151052945, 543217355, ( -1), 582471469, ( -1), 148843489, ( -1), 861986260, ( -1), 988393879, ( -1), 746258626, 5807489, ( -1), ( -1), 341436706, 262750349, 486473032, 215508178, ( -1), 904451371, 984777685, 136851847, 128185228, ( -1), ( -1), ( -1), 685366554, 221866105, ( -1), 948927089, 988517772, 412120016, 917611069, 106140563, ( -1), ( -1), 473250109, 697621931, ( -1), ( -1), 446172600, ( -1), 700623758, 927932017, 988047318, 629183150, 218752110, 276277069, 555892955, ( -1), ( -1), 901917415, 484064698, 872746064, 774686274, 128638212, 548213286, 137585735, 729565336, 549235501, 749208858, ( -1), ( -1), ( -1), ( -1), 876251480, 225448494, 232333694, ( -1), ( -1), ( -1), 356207538, ( -1), ( -1), 666765753, 853709335, 629520839, 9977999, ( -1), 347952231, 842342373, 263634048, 114471253, 301469388, 946571816, 525479594, 485690876, 863002190, 385478528, 819356476, 34830335, 889684904, 364497067, ( -1), 669160219, 959808030, 513734489, 472976856, 952865064, 245237102, 52312099, 671771346, ( -1), ( -1), 936391264, 261807135, 183180926, 315314153, ( -1), 776886892, 782155069, 162927268, 456127581, 453472538, 999538334, 483151514, ( -1), 230783274, 393650388, ( -1), ( -1), 309501785, 254948291, 609106487, ( -1), 315549670, ( -1), ( -1), ( -1), 891237443, ( -1), 302557629, ( -1), 607350089, 322887530, 596647448, 729002118, 702223386, 981987385, 33536432, ( -1), ( -1), 508144414, ( -1), 990304004, 560138178, ( -1), 99574178, ( -1), 798004856, 324064337, 491668482, 182092055, ( -1), 181824174, ( -1), ( -1), ( -1), 176830700, 165884945, ( -1), 295793902, 526594823, 729155795, 413021763, 880909762, ( -1), 548199151, 603879468, ( -1), 3236422, 531693208, 100060793, 368959156, 598753744, 898373488, 770716126, 957570469, ( -1), 934753362, 117075346, ( -1), 984063222, 71661652, ( -1), ( -1), 442028665, 691812743, ( -1), ( -1), 65415424, 799596288, 707181804, ( -1), ( -1), ( -1), 414697738, ( -1), 924894915, 273713923, 639315965, 424228820, 218765460, 42278577, 989130867, 822643898, 386432856, 425485594, 914557508, 328535570, ( -1), 389413071, 647395653, 670985943, 376273463, 217963304, 797912923, ( -1), ( -1), 839706859, 526181500, 577276536, 219274997, ( -1), 277191424, 691189215, 321509529, ( -1), ( -1), ( -1), 238643897, ( -1), ( -1), 829308623, ( -1), 944470713, ( -1), 438192383, 876468631, 256362629, ( -1), 120934677, 700880721, 656392175, ( -1), 117034470, ( -1), 462240356, 712652001, 192378373, ( -1), 443751406, ( -1), ( -1), 609462902, 680925226, 563386728, 632178487, 63470897, 691452226, 242327477, 735906432, 107588900, ( -1), 366132907, 916077768, 858868680, 75938018, ( -1), 362972535, 840640194, 64959918, 647339404, 554433497, ( -1), ( -1), ( -1), ( -1), 20471517, 42705629, 869105706, 6286717, ( -1), 227034575, ( -1), 712559913, 184266636, 127047177, ( -1), 944001388, 739345627, 52451792, 692281976, 210853891, 845091235, 752226700, 392614178, ( -1), 39605162, ( -1), 891614500, 299218382, ( -1), 354629962, ( -1), ( -1), 26090095, 599190785, ( -1), 686314028, 824928884, 284455863, 816893020, 340670035, 715884336, 287375417, 943041129, 859876948, 859326769, ( -1), ( -1), 503934313, 713603460, 815932531, ( -1), 154793641, 873891377, 216210124, ( -1), ( -1), 919602116, 375101825, ( -1), ( -1), 226628095, 130646418, 769792442, ( -1), 410442324, 776033241, ( -1), ( -1), 445202767, 285395530, 964084140, 591111022, 642481099, ( -1), 64323560, 996017532, 642986691, 435817131, 398546466, 351752901, 341822890, 74109017, ( -1), 298391656, ( -1), ( -1), 697095515, ( -1), ( -1), 388795077, ( -1), 865046296, ( -1), 952352000, ( -1), 855204089, ( -1), 343846935, ( -1), 800299846, 276209017, ( -1), 939887484, 389579669, ( -1), 107246660, 271250474, 849512811, 223380297, 694270289, 880510609, 717452895, 850164857, 62312027, ( -1), 254247465, 809547818, ( -1), 755318256, 626502874, 366884382, ( -1), 569878250, 484558244, 311272134, 496049668, ( -1), 900132383, 543479308, ( -1), ( -1), 428648633, ( -1), ( -1), 311227371, ( -1), ( -1), ( -1), 820075533, 135322495, ( -1), 235510643, 162702443, ( -1), 782507921, 228280723, 876635056, ( -1), 656051459, 357313049, 361529316, 942765578, 416140568, 564010770, ( -1), 560510472, 600691625, ( -1), ( -1), 336723635, 115775593, 786914557, 646990400, ( -1), 425197321, 64642360, 309210808, ( -1), 986815754, ( -1), 813613297, 26297967, 242743232, 37963550, 146098945, ( -1), 945489457, 366497234, 904227163, 810435380, ( -1), 166736599, 76512515, 234839942, 335132728, 222080152, 424977963, 284535196, 382083682, 803185773, ( -1), 908247540, 344310811, ( -1), ( -1), 75021208, 449586576, ( -1), ( -1), 332207562, 245318433, 538178849, 334200627, 221617417, 908183243, 76949166, ( -1), ( -1), 87582509, 977238093, ( -1), 621940177, 590766444, ( -1), ( -1), 954567173, 165455164, 386909196, 404424979, 802835957, 902379454, 49046262, 285667790, ( -1), 188633380, 402299769, 454252183, 936306260, ( -1), 995512416, 369619883, 750079734, 357859136, 331918490, 725496804, 13263265, ( -1), ( -1), 164272127, 867787220, 955365026, 735782043, 483554702, ( -1), 586785796, ( -1), ( -1), 797315952, 996960223, 401988405, 719471598, 896239675, 459451150, ( -1), 165861879, 201527199, ( -1), ( -1), 384710933, 523704285, ( -1), 896665742, 384215020, 673419672, ( -1), 828008766, 166879788, 263926464, ( -1), ( -1), 134601160, 106206435, ( -1), 788561830, 290782874, 646239073, 582365836, 860452685, ( -1), 781333585, 315306133, 225979061, 109573147, 212564846, 927334083, 334541200, 280896999, 64800683, 959741293, ( -1), 269574183, 383513483, ( -1), ( -1), ( -1), 856909992, 555862498, 121280075, 481553151, 196489076, 416476972, ( -1), 182464154, 569228895, 224446123, 194396922, 77619117, 850138209, 372126697, 920090678, 788678516, ( -1), 746061185, 971473703, ( -1), 72113402, 484471417, 330683908, 505255326, ( -1), ( -1), 302764007, ( -1), 767148059, 752901992, ( -1), ( -1), 807717516, 746369694, 314313055, 633873692, 926784079, 947043173, ( -1), 355757123, 967332723, 319219390, 717878192, 60048691, 89289547, 832162283, 113653815, 82894025, 411304189, 464112778, 896811576, 623480651, ( -1), 68655798, 553439034, 14693044, ( -1), 404431860, ( -1), 446318192, ( -1), 971299532, 544397487, 783723003, ( -1), 724282624, 278735136, 765421956, 98860444, 583673257, 444496161, ( -1), ( -1), 708527551, ( -1), 559111134, 115221241, 387005902, 492350173, 579125804, 145886422, ( -1), ( -1), 380941249, 385432660, ( -1), 101052471, ( -1), 419949273, ( -1), 145275815, 231408017, 553401091, 225298307, 584155668, 764561940, ( -1), 273508856, 544180574, 987418693, 659522967, 468281014, 622867142, ( -1), 237947226, 434514243, 530532550, 779609607, ( -1), ( -1), 762444439, 77638682, 364154388, 857082902, 680964961, 806858941, ( -1), 558835883, 736594030, ( -1), ( -1), 3741120, 505157689, 227383904, ( -1), ( -1), 101289668, 400682741, 870543042, 561201960, ( -1), 687282843, 510720593, 771729014, 675523001, ( -1), ( -1), ( -1), ( -1), 623668146, ( -1), ( -1), ( -1), 172670205, ( -1), ( -1), ( -1), 603463763, 487440461, ( -1), ( -1), 367603657, ( -1), ( -1), 181765954, ( -1), 555604705, 247339093, ( -1), 892198862, 105675008, 592049987, 648282062, 100489171, 791227317, 615304826, 541405390, 410495159, 187438893, 855652033, 363174563, ( -1), 331766442, 66606385, ( -1), 695310178, ( -1), 900717594, ( -1), ( -1), 640496666, ( -1), 395492001, 342329302, 7280887, 549450631, 845184728, ( -1), ( -1), ( -1), 500626622, 824163571, ( -1), 703311653, ( -1), 210829893, 2978932, 637126607, ( -1), ( -1), 36324531, 253087628, 359779503, 551235053, ( -1), 949252450, 635722420, 933790656, 296714851, 989686582, 633150066, 82784607, 229196942, 188522669, 583761509, 175913565, ( -1), 540016376, 420849193, 213047306, 979119487, 185912477, 146031571, 953729960, 484661549, 270494706, 975725534, 326993262, 915950634, 405910817, 969390205, ( -1), 906252117, ( -1), 104090491, 513523757, 65964710, 354316691, ( -1), 548221963, ( -1), 375521853, 923999415, 824906354, 123034711, 722271811, 384365385, 368109416, 313868771, 602370304, 369281470, 295778715, 142667216, 94693677, 684860397, 97271139, 193665513, ( -1), 108767493, 915201054, 961306618, 537897650, 767463079, ( -1), ( -1), 346130721, 732647698, 622728204, 507526987, 611701846, ( -1), ( -1), 920320684, 762744879, 534281915, 458715152, 274289700, 599819997, ( -1), 284281500, ( -1), 10033890, ( -1), 218867621, 746734206, 437047872, 121321022, 782156045, 619588532, ( -1), 832310737, ( -1), 834616849, 343255590, 455912267, 921665652, ( -1), 41641819, 921238895, ( -1), ( -1), ( -1), ( -1), 890271246, ( -1), ( -1), ( -1), 742946516, 648656370, 762784086, 43570265, ( -1), 395884916, 784025047, 165179150, ( -1), ( -1), 38888891, 124022709, ( -1), 982201269, 340186795, ( -1), 105946453, 833459313, 145126607, 453001866, ( -1), 286979571, 405479163, ( -1), ( -1), 994618021, 12679223, 406324971, 346468154, ( -1), 864485733, ( -1), ( -1), 715003100, 459581995, ( -1), 910241309, 613518898, 811177451, 711508746, 895980983, 934861654, 389543811, ( -1), 716141262, ( -1), 4227149, 663469847, ( -1), ( -1), 160228754, 544313348, 361031707, ( -1), 81965939, 525801608, ( -1), ( -1), ( -1), 284715854, 58319835, 855014844, 882327050, 890847766, ( -1), 532341026, 337371498, 910403293, 545894704, 226205502, 68895553, 501297698, 59133207, ( -1), ( -1), ( -1), 500103159, 150393493, ( -1), 264238653, 220876810, 769891550, 191628632, 239812689, 554213637, 853553154, 807725954, 938727740, 78292902, 298689031, 911550252, 302547369, 977934098, 360963095, 877867498, ( -1), ( -1), 879730692, 498618967, 243956970, 924879525, ( -1), 529644019, 356499556, ( -1), 719189778, 339112076, 23410237, 389135179, ( -1), ( -1), ( -1), 602056925, 845017020, 250056203, ( -1), ( -1), 494051139, ( -1), 720236436, 66852841, ( -1), 443430871, 566064313, 764506013, 443151872, ( -1), 819978255, 603103363, 475261569, 369409301, 640099608, 628439060, ( -1), ( -1), 721935387, ( -1), 729843611, ( -1), 691260790, ( -1), ( -1), ( -1), 526231609, 782767081, ( -1), ( -1), 419891042, ( -1), ( -1), ( -1), 586557602, 291945871, 291389761, 991616606, 499078838, 919326862, 507486954, 432002001, 606473293, 16662692, 808131335, ( -1), 563530044, ( -1), 225970652, ( -1), 884922218, 193223961, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 714238597, 105145438, 247297541, ( -1), 968306157, ( -1), ( -1), 453118692, 870496458, 714863085, 821704539, 141208025, 846850669, 775875425, 547195419, ( -1), 912588673, 813082572, ( -1), 637471838, ( -1), 749808831, 984732071, 813157429, 469398817, 3033861, 350932900, ( -1), ( -1), ( -1), 185626955, 390098431, 624468002, 872311678, 606850685, ( -1), 583318159, ( -1), 283629786, ( -1), ( -1), 311330004, ( -1), 867660620, 483098134, 993944774, ( -1), 348410350, 148789984, ( -1), ( -1), 835282265, 305382841, 142539910, 234949786, 759296393, 731749357, 941704535, 730749196, ( -1), 537950139, 119761668, 587310822, 399292596, 243006501, 475207216, ( -1), ( -1), 289256348, 267847373, 694920316, 978560537, 433153378, ( -1), ( -1), 163935530, 910675471, 340960353, 323276819, ( -1), ( -1), 893538749, 296903572, 194425390, 790631181, ( -1), 860251041, 285229680, ( -1), 831376261, ( -1), ( -1), 802956100, 646913075, 620090594, ( -1), ( -1), 127311174, 510366406, ( -1), 789058919, 322024083, 596741162, ( -1), ( -1), 114543072, ( -1), 568170478, ( -1), 653239072, 701440393, 784679569, 937308149, 935579485, 235765089, 383660243, ( -1), 307918605, 470586298, ( -1), 860552494, ( -1), ( -1), 913437204, ( -1), 61607616, 811784630, 866122002, 136233069, 868703301, 531769127, 849016072, 45085940, 726343866, 700501183, 302818149, 560880225, 441992272, 823416522, ( -1), 71025690, 32138764, 433137196, ( -1), ( -1), 419267006, 604378283, 752945745, ( -1), 406146494, ( -1), 860751305, 49917207, 82494080, ( -1), 768307310, ( -1), 648942417, 561032151, 713918109, 141728390, 285378143, 726230495, ( -1), ( -1), 527503990, 168567, 61336306, 380717568, 756188541, 975117997, 511792426, ( -1), ( -1), ( -1), 900040643, ( -1), 132086421, ( -1), 320801163, 107126043, 924211295, 417680286, 59596871, 823331914, 458108887, 746310381, ( -1), 623518345, 81069464, 388593134, 487325521, ( -1), 149335084, ( -1), ( -1), 145661324, ( -1), 963961158, 218420656, 975030529, 709068560, 268575866, 919335405, ( -1), ( -1), 700600252, ( -1), 367856144, 671954621, ( -1), 39708757, 591767089, 730386298, 295846801, 255266151, ( -1), 338525866, 515331320, 667073206, 654315168, ( -1), 230831068, 952288986, 559266648, ( -1), 148148936, ( -1), 194658905, ( -1), 122905228, 201408432, ( -1), 470343038, 286161957, 994619518, 640140267, 761441500, 734104065, 547949612, 384115711, 80461400, 716420380, ( -1), 701537855, 582614696, ( -1), 451570742, 299080812, 411439641, 431310682, 922113201, 431993973, 430085206, ( -1), 134839208, 130201426, ( -1), 803850548, 257199283, ( -1), ( -1), 865225463, 239211926, ( -1), ( -1), 130731650, 761183622, 829548976, ( -1), 371393489, ( -1), 817310992, ( -1), 146256110, ( -1), 865530022, 741174727, 137729721, ( -1), ( -1), 179020970, ( -1), 570401839, 430619727, 206139699, 396468941, ( -1), 188010318, ( -1), 319179407, 964725871, 888767129, 43759377, 356766578, ( -1), 200639967, 471675745, 21851224, ( -1), 377052942, 544019583, 328238001, ( -1), 688851418, 931846989, 549442811, ( -1), 293443445, ( -1), 871541811, ( -1), 621504740, 234962208, 225189009, 724460018, 177126760, 744802, 110875589, 447331066, 686905586, ( -1), ( -1), 377623044, 999604112, 925551641, ( -1), ( -1), ( -1), 121636310, 917442815, 548414757, 629805272, 558558593, 418501840, 812813214, 925446521, 909145874, 680234569, 854190733, 750520171, 162862076, 41773175, ( -1), 911571772, 709840491, 316220027, 337704294, 847531164, ( -1), ( -1), 190739689, 922727683, ( -1), 66676911, 584998905, 241368102, 300571557, 22506964, ( -1), 597344716, 862910362, 396887855, ( -1), ( -1), ( -1), ( -1), 113582019, 42438735, ( -1), 272881114, 804433672, ( -1), 185081379, 736521118, ( -1), 80898452, 895919035, ( -1), 754160506, 384584236, 569012969, 303689565, 93073351, 306048909, 503731897, ( -1), ( -1), 144840853, 506250781, 811066820, 423804303, ( -1), 758278078, 124991433, ( -1), 982529986, ( -1), ( -1), ( -1), 303555686, 933546388, ( -1), 277900389, 497288689, 653175124, 341181534, 711574332, ( -1), 709896906, ( -1), ( -1), 644894196, 86539657, 606181527, 455481135, 726769959, 801880523, 121505528, 289592624, ( -1), ( -1), 976951605, ( -1), 914384967, 979323562, ( -1), 428409106, 762616261, 947411616, ( -1), 766422134, 689042364, 793196738, 357254809, 213299079, 33604327, ( -1), 107320868, 583133943, 421337859, 795434467, ( -1), 871710347, 562533861, 836164132, 37344131, ( -1), 429798939, 168957236, 969210800, 291925261, 664075473, 583871989, 309807481, ( -1), 173936855, 802735228, ( -1), 950289009, 826360201, 915870869, 190250095, 985430983, 586931596, 507664562, 41628000, 55826291, 910192126, 501054864, 338122403, 184435666, ( -1), ( -1), 33764682, 41874979, 186121695, ( -1), 500671030, 618443235, ( -1), 394589118, 50626190, 383759250, 960428083, ( -1), 226374808, 445100200, 6685881, 178680222, 910901532, 285720462, ( -1), 598181641, ( -1), 862066718, 841938932, 517914407, ( -1), ( -1), 47538854, ( -1), ( -1), ( -1), 321020200, 767221178, 368223719, ( -1), 912594266, 879878161, 332288292, 50720831, 22374437, 36790058, 677196648, ( -1), 100860634, 199839264, 476925599, ( -1), 975944782, 777354814, 327368956, ( -1), ( -1), ( -1), 182294865, 890095117, 258335225, 762775135, 490049212, 808533877, 365056415, 437382719, ( -1), 188177510, 240344495, 611258262, 604895835, ( -1), 983687313, 619909188, ( -1), 277348985, 709987719, ( -1), 631599012, 699249380, ( -1), 256799222, ( -1), 355242664, 705583860, 226856355, ( -1), 433521398, ( -1), 114904241, 302149379, 748442565, ( -1), ( -1), 62635669, ( -1), 503466083, 253802068, 484242141, 136079314, ( -1), 171630943, 54281416, ( -1), 346171657, 433286353, ( -1), 653787829, ( -1), 490691890, 847503244, 445296446, 957177923, 144662977, ( -1), 237710912, ( -1), ( -1), 24429866, 1509927, 70871530, 729018674, ( -1), 405870792, ( -1), 862600163, 463546720, 26062522, 890376725, 557316140, 652552481, 340770055, 254517953, 845308536, ( -1), ( -1), 434922011, 340220845, ( -1), 263953775, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 697235005, 104150330, 748729364, ( -1), 300360714, 624858706, ( -1), 922868879, ( -1), 854655592, ( -1), 872029470, 660609822, 910090852, 761226932, ( -1), 210051899, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 378485207, 32057694, 14524566, ( -1), ( -1), ( -1), ( -1), 707228124, 193924810, 392291261, 426431731, 705911281, ( -1), 592166213, 282058253, 105150699, ( -1), 964356019, ( -1), 153431289, 748324611, 576183431, 385871201, 45566060, ( -1), 921558391, 688522170, 219838445, 157255472, 587162612, 520951190, ( -1), 252266594, 454168085, ( -1), ( -1), ( -1), 239325495, 467510720, 777840361, ( -1), ( -1), 799628736, 133928658, 834800840, 42177707, 80335786, 526844640, 998457144, 765602616, 52506741, 648943351, 751291161, ( -1), ( -1), 973753044, 972139571, ( -1), ( -1), ( -1), ( -1), ( -1), 183948719, 225334395, 346008805, 339514063, 909342396, ( -1), 620238000, 669350689, 731007236, ( -1), 457836460, ( -1), 970233432, 739006112, 649944831, 164867721, 177270552, 320082543, 930998563, 830889445, 519524256, ( -1), 459226894, 215726634, 336356247, 935880973, 952139077, 394521728, 383356486, ( -1), ( -1), 268493186, ( -1), 989739160, 143749233, 255726706, ( -1), ( -1), 391912511, 710833206, 377260856, ( -1), 949624177, 788435503, ( -1), 421636901, 707799315, ( -1), 474008748, 721324195, 262754343, ( -1), 112876106, 421582074, ( -1), 499967848, 961076879, ( -1), 559000216, 80266558, 476793283, 992034787, 563932118, ( -1), 555401443, 26523948, 949815508, 581367963, 680452427, ( -1), 567069661, 72989491, 698515317, ( -1), 254320160, 183924218, 218812341, 218038242, ( -1), 796720072, 541157979, 151022328, 920353707, 122979737, 289070592, 677175367, 942099686, 849060840, ( -1), 489016830, 349751379, 866498183, 854490488, 840286982, 881888699, ( -1), 372863989, 893607480, 756270363, ( -1), ( -1), 558859464, 959570969, 188743508, 54200129, ( -1), 128154479, 493020610, ( -1), 932249404, ( -1), 352990821, 752104794, 109678800, 812205449, 99732268, ( -1), 93436315, ( -1), 645291357, 704037108, ( -1), 516144501, 783073061, 910482782, 252085704, 877586502, 318366525, 111251055, ( -1), ( -1), 767943264, 708614046, 63074228, 48909014, ( -1), 565007527, 678551668, 288592735, ( -1), ( -1), ( -1), 24908607, 973923609, 181305117, 107772529, 104992110, 734891825, 656152153, 994380614, 184715047, ( -1), ( -1), ( -1), 251247181, ( -1), 624934224, 415243404, ( -1), 311897159, 879017303, ( -1), 330897753, ( -1), 186859873, 374511222, 138299353, 967136904, 928565734, ( -1), 413447583, 255391404, 621474083, ( -1), 651612334, ( -1), 267009609, ( -1), 236285002, 592131172, 351739481, 46717256, 171888683, 169108496, 626091344, 144812024, ( -1), 363829926, 862550429, 116258322, ( -1), ( -1), 508992919, ( -1), 756670702, 725810703, ( -1), 769036702, 715938550, 85871508, ( -1), 379983844, 96628402, 891689618, 777250812, 22823007, 861782187, 387519740, 725466616, 623558449, 442100509, 469610939, ( -1), 436591367, 492222750, 102804079, 331134232, 870308808, ( -1), ( -1), ( -1), 793600480, 878905933, 389827834, 953192944, 999657378, 25704359, 25103721, 472627710, 859651012, 341426228, 624350760, 681967294, 190735030, ( -1), ( -1), ( -1), 618431223, 611440633, 28318921, 607065179, ( -1), 304824890, ( -1), 523206974, 250448279, 61427810, 226524898, 996564633, ( -1), 747513997, 908642987, 791595067, 589919948, 730121800, 857632624, ( -1), 425971770, 129657048, 604769066, 947509644, 258354978, 372748843, ( -1), 382572742, ( -1), 149895089, ( -1), 399829845, 549577792, 698466387, 707813148, 635121264, 225009648, 928759634, 814474209, 915202002, ( -1), 560959058, 874593798, ( -1), ( -1), 398391213, 927392913, 458421017, ( -1), ( -1), 893257531, ( -1), ( -1), 101687530, 208435468, ( -1), 458386657, 333618869, 768671206, 608702995, 805811107, ( -1), 475398332, 897127840, ( -1), 930120265, 476677019, ( -1), ( -1), 129146897, 165451004, 396568947, 647067170, ( -1), 175955271, ( -1), 226419550, 11098964, ( -1), 435702119, 437408027, ( -1), 582173426, ( -1), ( -1), 84992101, 190192944, 483164041, 807947151, 24927777, 672492600, 83768085, ( -1), 426659252, 770731465, 493456091, 906448542, 200689373, 121582591, 346333197, ( -1), ( -1), 483851323, 563988900, ( -1), 31229264, 994634161, 401559374, 701367493, 357562840, ( -1), 936628609, 437870782, 207793315, 46620313, 655426747, 110851129, ( -1), 493560913, ( -1), ( -1), 440123973, 388014998, ( -1), 541630164, ( -1), ( -1), 740019548, 122570901, ( -1), ( -1), ( -1), 848804566, 11207748, 234922267, 304231397, 463776663, 871282513, 637924084, 319899888, 377864792, 958753501, ( -1), 610409236, 353247014, ( -1), 679218376, ( -1), ( -1), ( -1), 692305140, ( -1), 274108247, 113571382, 321253738, ( -1), 865674563, 387049406, ( -1), 472849974, 432842923, 380005087, 123765425, ( -1), ( -1), 751714999, 832852108, 237601881, 527262274, 589920372, 788614573, 961604801, 752989889, ( -1), 884926219, 842125638, 190738246, 294501437, ( -1), 86585942, 44021182, 695003940, 409086355, ( -1), 55252796, ( -1), 455202438, 806315913, 528419092, 388111691, 411836202, 558822836, 907535350, 952903693, ( -1), 433936859, 831765997, ( -1), 880366598, 3670978, ( -1), 809102556, ( -1), ( -1), 500889665, ( -1), 422398265, 542255551, ( -1), ( -1), 309238812, 376040601, 164797155, ( -1), 739875207, 848656221, 242038040, 759318261, 438334748, 427524686, ( -1), ( -1), ( -1), 823339476, 516337740, 355141431, ( -1), 693601059, ( -1), 235762453, 74235115, 839210121, 457638041, 391173378, 721199683, 166874443, ( -1), 914367206, 854377997, 897299330, 503216256, 904441892, 27047826, ( -1), 835511257, 58318363, 52217012, 612088879, 821385969, 744833586, 453591695, 953609446, ( -1), ( -1), 865071744, ( -1), 315990102, 295547652, ( -1), 953088554, ( -1), 542325012, ( -1), 47734741, 255409615, 863606780, 340855344, 151571994, 443740469, 435088962, 633731865, 627296843, 965521272, 834908330, 371026321, 38058704, 266058490, 793564374, ( -1), 634999349, 592786108, 916192226, 411618692, 456187181, 533554781, ( -1), 950612381, ( -1), 55067838, 294403384, 801961440, 650830314, 551259776, 169935008, 406800627, 445996327, ( -1), 357697033, 345817598, ( -1), 666929781, 702728902, 42586126, 987651559, 333127623, ( -1), 491822775, ( -1), 100480633, ( -1), ( -1), ( -1), 546673302, 293832848, ( -1), 958092689, ( -1), 780643759, 843210641, 496637219, 158467054, 910348229, 768766645, 637324143, ( -1), 602874052, 291593128, ( -1), 137356104, 188910697, 17184406, 880956557, 862623399, 919616827, 166773797, 385511026, ( -1), ( -1), 160340385, ( -1), 614376412, 923005199, 934415310, ( -1), 262029531, 657120340, 223942509, 313334310, 880195161, 326678013, 702162658, 472059064, 582488598, 813731444, ( -1), 677402305, 204950992, ( -1), ( -1), 125831264, 102434420, 105107741, ( -1), 764182836, ( -1), 993255947, 378544821, 752558378, ( -1), 333673666, 190508626, ( -1), 442024808, 896430999, 132223827, 800662329, 476510250, ( -1), 700046103, ( -1), 144513133, 916815648, 601287768, ( -1), 109607913, ( -1), 380197179, 135604026, 219190952, 580233427, ( -1), 222564218, 147847371, ( -1), ( -1), 342092245, ( -1), 361131422, ( -1), 9453961, ( -1), 931868197, ( -1), 825016978, 585917112, ( -1), ( -1), 705444464, ( -1), 622980527, 536594254, 205178443, 238011272, 67310196, 501004753, 455591137, ( -1), 740974179, ( -1), ( -1), 59687071, ( -1), ( -1), 235134069, 114635676, 9704053, 971765534, 808702468, 133409108, ( -1), 925991907, 2989891, ( -1), 122249478, 500794084, ( -1), 148338466, 970300507, 996630795, 626642390, ( -1), ( -1), 196094153, ( -1), 972343239, 309272558, ( -1), 914840914, ( -1), 724544503, 721470973, 127263717, 628358496, 227798014, ( -1), 795711359, 880232139, ( -1), 685709726, 416576270, ( -1), 490917695, 373727080, 796404994, 490165462, 654307518, 945375671, 319140464, 654776811, ( -1), ( -1), 989361785, ( -1), 57476649, 382244769, ( -1), 344764926, 259781743, ( -1), 367398686, 941722495, ( -1), 716859574, 234469651, 991793106, 224766864, 118168645, 697735159, ( -1), 880279646, 455037277, ( -1), 495064242, 642929095, 703130434, 533582480, 820449271, ( -1), ( -1), 745054589, ( -1), 663225412, 546349331, 199321124, 776808195, 466019295, ( -1), ( -1), 75283803, 620597363, 268139457, 143933590, 574569262, 383591569, ( -1), ( -1), 140990596, ( -1), 303871344, 73071924, 477891671, 599040599, 514180911, 540648214, 757340826, 457822222, 916641920, ( -1), 438998698, 389772880, 540567007, ( -1), ( -1), 283445304, ( -1), 31350554, 512734607, 667556319, 990629409, ( -1), 666368992, 132099857, 337962026, 678721720, 938509550, 671742029, 586086298, 537703586, 449069637, ( -1), 27575280, ( -1), 694201484, ( -1), 573622020, ( -1), 494833899, 460561791, 469311324, ( -1), 596754259, ( -1), 661717796, 511446392, 794900245, ( -1), ( -1), 804143061, ( -1), 910824998, ( -1), ( -1), 886998122, 439068677, ( -1), 97858127, 802896632, 229135526, ( -1), 806081098, 231277377, 743672677, ( -1), 356359138, ( -1), ( -1), 25640635, ( -1), ( -1), 495641429, 207979816, 295999305, 686868712, 577092990, 250072127, 267228760, 45572346, ( -1), 498250251, 998579393, 625070163, ( -1), 279481399, 972575611, 294346344, 169920978, ( -1), 967121821, 28819781, ( -1), 959495720, ( -1), ( -1), 147876790, 145048834, ( -1), ( -1), 346781982, 392672709, ( -1), 683523495, ( -1), 791184756, 977793725, 413349376, 606358224, 164668658, 843527024, ( -1), 193890254, 323879597, 284717381, 716210553, 403817515, ( -1), 672279715, 65101761, 121194642, 29690494, ( -1), ( -1), 539453012, 964324323, 29647998, ( -1), 858394249, ( -1), 834503372, 177250962, 829447994, 64562512, ( -1), 366818781, 676802583, ( -1), 4737873, ( -1), ( -1), 78090620, 57504370, 469037749, 820542158, ( -1), 753326015, 985191799, 163525387, ( -1), ( -1), ( -1), 169153097, 811594922, ( -1), 148612155, 984085392, 400126111, ( -1), ( -1), 605956914, ( -1), 761520496, 137929640, ( -1), ( -1), ( -1), ( -1), 628671395, 480236894, 254109017, 576055803, 811072420, 467211175, 290778738, 141844261, 831529847, 868981200, 787001369, 956226790, 3758713, 211882015, ( -1), 880837991, 845932499, 290365747, 126484501, ( -1), 250307462, 623579221, 72922952, 15602352, ( -1), ( -1), 93888011, 646201005, 915930487, 968534198, ( -1), 860515664, 681167266, 88266, 578797582, 226187891, 242760027, 400319294, 169038088, 580785124, 855151960, ( -1), 571263556, 774686946, 798004459, 474855895, 630921952, 739364897, ( -1), 713441057, 52359144, 459899972, 980096114, ( -1), ( -1), ( -1), 852056660, 707055708, 18845597, 320046408, 355418975, 264685792, 779092012, ( -1), 178298431, ( -1), 120702590, 990327125, 253033357, 610655631, ( -1), ( -1), 227326685, 222936118, 461362301, 113908893, 381924336, 484472695, ( -1), 748907971, 924016598, 925592953, 315910201, 752206530, 778858058, 615855717, 750378192, 970247308, 578955659, ( -1), ( -1), ( -1), ( -1), 871077020, ( -1), 414250035, 509049104, ( -1), ( -1), 302923142, 717987169, 979046762, ( -1), 586084084, 607095568, 468772584, 566969926, 407315197, 897303833, ( -1), 991413254, 115743323, 400661033, 998149142, 603808028, 279189100, 379871662, 793871735, ( -1), 113355550, 469989338, ( -1), ( -1), 789959932, 693850248, ( -1), ( -1), 749563834, 231642185, ( -1), ( -1), ( -1), 536750198, 181510227, 176400034, 680423055, 530140474, 993839762, 102713359, 469285172, ( -1), 186915161, 202981632, 430246785, ( -1), 310057339, ( -1), 935863509, 854197637, 464418417, 697264420, 641034441, ( -1), 374815906, ( -1), 343405623, 371953520, 323228250, ( -1), 858891023, 541571692, 733590368, 275847378, 155064154, 124787371, 232380033, 256921278, 483130036, ( -1), ( -1), 866874354, 498635728, ( -1), 170232091, 356122099, 878238051, ( -1), 581539551, 737206395, ( -1), 692051011, 784409173, ( -1), 501169664, 556158014, 421401222, 255383217, 180512533, 578711164, ( -1), 369318659, 958762774, 200600885, 492416022, 828033653, 162500412, 705761367, 850702690, ( -1), 505998835, ( -1), 465824670, ( -1), ( -1), 526240200, 876229630, 43750170, ( -1), 603073034, 313743283, ( -1), 396931625, ( -1), 990790220, 805346157, 450834523, 173437140, ( -1), 743967014, ( -1), 704542532, ( -1), ( -1), 20344090, 631672984, ( -1), ( -1), ( -1), 640688335, ( -1), ( -1), ( -1), ( -1), 94117043, ( -1), 298257619, 861237508, ( -1), 813201212, 513269101, ( -1), ( -1), 988238940, 205249836, 716367760, 79558919, ( -1), 538898623, ( -1), 778005676, 518481368, 350072891, 900448677, 751807687, 877057321, ( -1), 935991315, 278044303, 428476479, 235726691, 440878515, 538728564, ( -1), ( -1), 2094075, 175655611, ( -1), 94730016, 669338048, 329575327, 977606473, 182411522, 113060040, 793774534, 46701046, 881214793, ( -1), 446024243, 512735496, 506981757, ( -1), ( -1), ( -1), 488285004, 445853963, 474296791, 419259014, 296933802, 864678555, 38456791, ( -1), 270161749, 221285049, 777387225, ( -1), 949078524, 452478401, ( -1), 853531800, ( -1), 75230130, 189284748, 652761356, 302791900, 997652434, 936508077, 255519119, 708456131, 793645796, 679623130, 784885338, 567830386, 836715834, 106379034, 348397336, ( -1), ( -1), 940352371, ( -1), ( -1), 355832344, 104753354, ( -1), 473037577, 552406060, 229885065, ( -1), 928608678, 918848442, 757788967, ( -1), 254957628, 498950557, 568422776, 332108148, 993682358, 353543804, 41616693, ( -1), 246261874, 258762069, 833759012, 258343110, 455730287, 102254719, 899238528, ( -1), ( -1), 313676640, 568570368, 701438201, ( -1), 89899222, 995138977, ( -1), ( -1), 377615860, ( -1), 510481062, 112668770, ( -1), 405730371, 367070698, 567957370, 1698413, 954232937, 295714336, 883768372, 633074325, ( -1), 967145691, 887238160, 840968053, 205628630, 58612454, ( -1), 486717847, 963328917, 783409018, 501164026, ( -1), 152730912, 83860612, ( -1), 448344046, ( -1), 165583062, 308463277, 207888591, ( -1), 874786543, 854202115, 506960179, 84857643, 642942859, 932577890, ( -1), ( -1), ( -1), 836542274, 244429980, 795106912, 910923849, ( -1), 467982286, 732018061, 407211475, 908007593, 540030402, ( -1), ( -1), 27340431, 803565160, ( -1), ( -1), ( -1), 228004702, ( -1), 683558407, ( -1), 396714908, 29294947, 542587863, 45885735, 251992391, 188303350, 975773687, 529698903, 275138220, ( -1), ( -1), 434129971, 146770464, 485087617, ( -1), 404291867, 650793963, 38903234, ( -1), 699991056, ( -1), 495950214, 578779648, 170895592, 457929579, ( -1), 405374749, 633120934, 113590022, 916381641, ( -1), ( -1), 2693767, ( -1), 506944397, 208584259, 46952346, ( -1), 706792999, 545136141, ( -1), 866782805, 997951643, 765324470, ( -1), 357545646, ( -1), 948616936, 386134733, 150367359, 751005119, ( -1), 584033056, 878814607, 205068853, 823251834, ( -1), 460727826, 935479328, 82955536, 523287615, ( -1), 554422987, 683685538, 779614394, ( -1), 11956757, 82906143, 443681530, 867457499, ( -1), 968326934, 720287056, 716056732, 153769140, 881365931, 35153299, ( -1), ( -1), ( -1), 665902325, ( -1), 126225824, 621669836, 840037964, 295110746, 633536818, 568363340, 889776983, ( -1), 850117135, ( -1), 57949462, ( -1), ( -1), ( -1), 502137800, 97706734, 144955332, 549008265, 742593217, ( -1), ( -1), 78663224, ( -1), 400355104, 520636779, 540602215, ( -1), ( -1), 508558959, 172676218, 687063665, 616442222, 488033315, 805732768, 972636040, 371559858, 390660358, 595473298, ( -1), ( -1), 776168903, ( -1), 492054551, ( -1), 645594684, ( -1), ( -1), ( -1), 549829365, 155127187, 169577759, 810473055, 347384976, 223894844, ( -1), 891270516, 412770564, 227924670, 579544465, 329655802, 701345956, 52254290, ( -1), 664060213, ( -1), 486838249, 397136343, ( -1), 518142604, 295969665, 94613518, 832559533, ( -1), 902596633, ( -1), 26215279, 159300896, 321773960, 922853870, 7479397, 806424271, 802891624, 597566379, ( -1), 872876709, 952406796, 916684062, ( -1), 520845741, 584718625, 410390843, ( -1), 779265998, 921776083, 511579045, ( -1), 152153811, 607287262, ( -1), 531660493, 8699504, 911274054, ( -1), 331277718, ( -1), ( -1), ( -1), 15068048, 846407139, ( -1), 785797668, 227997011, 65495105, 842508304, 964740426, ( -1), ( -1), 889240010, ( -1), ( -1), 672981042, ( -1), ( -1), ( -1), 706684214, 703007795, 570594621, ( -1), 332062876, 619012240, 938104087, 405948802, 775280111, 801345189, 707869959, 843381984, ( -1), 837202105, 819419249, 673749481, 991574095, 316705879, 928282733, ( -1), 699234863, 21403237, 317076802, ( -1), ( -1), 913891167, 298622352, 549913596, ( -1), 822351723, 516732835, 926492175, 93682104, 460776474, 620161656, 993847487, 997450600, ( -1), 26241534, ( -1), 682922847, 374210028, ( -1), 292096790, 917054755, ( -1), 640889091, 386252020, 179718582, ( -1), 114579153, ( -1), 968305862, ( -1), 700099841, 270983865, 539211628, ( -1), 518121114, 288747614, 319159459, 731417718, 150608752, ( -1), 97677771, ( -1), 690307992, ( -1), ( -1), ( -1), 804631210, 422098905, 197409611, 81348189, ( -1), 321234387, 625209119, 465955647, ( -1), 211382884, ( -1), 325333251, ( -1), ( -1), ( -1), 104585025, 860966071, 602987448, 789982090, 409997632, ( -1), 618460102, 741154980, ( -1), 290376054, 972773110, ( -1), 945559991, 535494114, ( -1), ( -1), 124084144, ( -1), 432825030, ( -1), 263463925, 657779819, 757668209, 119282312, 72269619, 152283005, ( -1), 227025109, 419560606, ( -1), 985631877, 61524043, 47743049, 809804860, 112895780, 750121408, ( -1), ( -1), ( -1), 580060123, 296486916, ( -1), 804313538, 666114629, 804510159, 997157271, 752831967, 765754657, ( -1), 889520562, 587731445, 686571653, ( -1), ( -1), ( -1), 506645365, 169030465, 949782543, ( -1), 580629210, 687528432, ( -1), ( -1), 238827347, ( -1), 300425355, ( -1), 32422302, 46361192, 162650571, ( -1), 950333135, 54066643, 24121244, ( -1), 623161769, 178854846, 963660724, ( -1), 153397891, 11475900, ( -1), ( -1), 705430799, 937459857, ( -1), 727815995, ( -1), 237253063, 857930873, 869663124, 554078296, 911518632, ( -1), 50472621, 294805414, 15614368, 187116358, ( -1), 224931428, 698726534, 357529508, ( -1), 202187284, 870131540, ( -1), 473681901, ( -1), ( -1), 600103112, 457207888, ( -1), 133605433, ( -1), 352089217, 828999844, 779884845, 174091360, ( -1), 165339043, 660643430, 668724072, 253031546, 125385285, ( -1), 72849961, 534270614, 570951157, ( -1), 433600250, 784505723, ( -1), 414908061, 146569264, 556676285, ( -1), 156492610, 156731555, 187466207, 825438298, ( -1), 54756990, 821215142, 903710708, 327059112, 236636563, ( -1), 237932215, ( -1), 286544201, 375178331, 961376374, 997082529, 372977885, 790015175, 607974990, 494643279, ( -1), 134908481, 944391901, 958996221, ( -1), 378687510, 71133740, 480965695, 860772052, ( -1), 399004824, ( -1), 187753138, ( -1), 445032210, 833409791, 245844334, 889864685, 411608582, 561798863, 238073446, ( -1), 781827649, 257909618, 437539830, ( -1), ( -1), 746373895, ( -1), 384314748, 160273553, 215793583, 357501687, ( -1), 294793617, ( -1), 216663956, 931461315, 77161484, 301957898, 975897048, ( -1), 64155356, ( -1), ( -1), 175354535, 296626804, ( -1), 109343907, ( -1), ( -1), 218084977, ( -1), ( -1), 934074031, 465047284, 958184742, 455982935, 100237925, 864586176, ( -1), ( -1), 196029267, 794580786, 690025616, 389213372, ( -1), 288019566, 947689005, 129387616, 647963254, 168438375, 815397243, 757450385, 780289890, 804388871, 632752226, 318973188, 586365178, ( -1), ( -1), ( -1), 880488290, 998333096, 657823731, ( -1), 696253117, ( -1), 642571116, 629452788, 237751458, 89094462, ( -1), 792508027, 807318223, 332551522, 180830171, 245629505, 795285910, 628771210, ( -1), ( -1), 440784134, 461280810, ( -1), 333479473, ( -1), 598376916, ( -1), 890775729, 327314152, ( -1), ( -1), 288924796, ( -1), ( -1), ( -1), ( -1), 728690719, 986766874, 52368488, ( -1), 477232296, ( -1), 959454583, ( -1), 609645163, 868363053, 524469629, 923531569, ( -1), 127367109, 396875613, 543840748, ( -1), ( -1), 606047345, 906016812, 909007036, 970632940, 381189479, 48007905, 113550564, 446195708, 305563734, 379329280, 846725481, 159426652, 856388711, ( -1), 261691031, ( -1), 605906158, 761250298, 847521485, ( -1), 87860248, ( -1), 893264476, ( -1), 136372694, 424973312, 902436701, 363703372, ( -1), 498266095, 14833498, 172541837, 246622741, 861241397, 918101369, 68905550, 841987636, 453423630, 18230945, ( -1), 698669703, 523421740, ( -1), 222445001, ( -1), 795251317, ( -1), ( -1), 999066030, ( -1), ( -1), 918366629, 793225756, ( -1), 849266426, 837275596, 958057519, 897045606, 240225053, 702446772, ( -1), ( -1), 468853530, 937382026, 751411391, 242111574, 728191414, 866143958, 196045061, ( -1), ( -1), 677569563, 981537201, 90248876, ( -1), ( -1), ( -1), 362673635, 78638371, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 194420523, 592288465, 307973950, ( -1), ( -1), 17721186, 160019792, ( -1), 752481768, 495804053, 510040774, ( -1), ( -1), 962716434, 14944776, ( -1), 241425150, 851160578, 808245605, ( -1), 177401912, ( -1), ( -1), 184474256, ( -1), ( -1), 924725862, 98881606, 690750571, 611730260, 67988951, 254566898, 876472144, ( -1), 699215112, ( -1), 429186711, 903223053, ( -1), 710508663, 621750321, ( -1), 588743045, 930701741, 4160578, ( -1), 440992287, 649287390, ( -1), 98023531, 602850205, 210704047, ( -1), 538546892, ( -1), ( -1), 772866668, 560604647, ( -1), 758875807, 465376243, 704876222, ( -1), ( -1), 727242993, ( -1), ( -1), 350579001, 453328207, ( -1), 174303789, 743191912, 818606714, ( -1), 380723801, 838404937, 228725120, 119656769, ( -1), 602725065, 537301019, 581654328, 546210825, ( -1), 828938964, ( -1), 38833055, 421273101, ( -1), 463910768, ( -1), ( -1), ( -1), 931687372, 597693499, ( -1), ( -1), 801101084, ( -1), ( -1), ( -1), 595556122, 400832682, ( -1), 509995175, ( -1), 418523075, ( -1), 581687948, ( -1), 602517441, 257685275, 793758602, ( -1), 315793833, 19712870, 439209286, 514204338, 96414776, ( -1), 563451909, ( -1), 732196826, ( -1), 608735906, ( -1), 179132544, 966656191, 610552313, ( -1), 460677032, 554817840, 836353159, 92181075, ( -1), ( -1), 976132311, 906056466, ( -1), ( -1), 748269372, ( -1), 909375849, ( -1), 27729290, 997535618, 644152176, 788454691, 450217128, 679263217, ( -1), 615128179, 881999005, 65658005, ( -1), 920587061, 579318488, ( -1), 163423247, 125392793, ( -1), 529763991, 395101513, ( -1), 980157436, ( -1), ( -1), 726244795, 241394230, ( -1), 790586782, 988236844, ( -1), ( -1), 261818780, 622973296, 118474360, ( -1), 443072837, 94518468, 675308679, 479050138, 380566564, 325634827, 374490769, 351366620, 27895556, 313951617, 672996321, ( -1), ( -1), 546828929, 110121201, ( -1), 536525199, 417250419, 226655786, ( -1), ( -1), ( -1), 17566920, 95871141, ( -1), 489471623, ( -1), 833608667, 436599791, 800965961, 642723933, 114067795, ( -1), ( -1), 556456816, ( -1), 146522015, ( -1), ( -1), 593753268, ( -1), ( -1), 383565948, ( -1), 584937305, ( -1), ( -1), 956147697, ( -1), 871776705, ( -1), 736334443, 78891033, 827276689, ( -1), 326293786, 238996853, 194545004, 605576571, ( -1), 429398981, ( -1), ( -1), 136130477, ( -1), 147479934, 155447165, 831213090, 404365694, 675173158, ( -1), ( -1), ( -1), ( -1), 42519339, ( -1), 377382811, 819078137, 292288347, 427734081, 322401295, 578686583, 534664391, 577380738, 843393560, ( -1), ( -1), 815027375, 930360303, 589047417, 968524945, ( -1), ( -1), 817510451, 708009550, ( -1), 878162462, 677449499, 281650457, 491292778, 398328403, 119238509, ( -1), 181281789, 968901270, 900838542, 351856476, 420267830, 715781807, 139846852, ( -1), ( -1), 427383792, ( -1), 819001098, 567162487, ( -1), 325651383, 712939087, 984152582, 605702477, 324202721, ( -1), 409982877, 400259194, ( -1), 792342672, 487034470, 262805479, ( -1), ( -1), 573747027, 219076179, 849176751, ( -1), 320768680, 303857653, ( -1), 647750909, ( -1), 800787296, ( -1), ( -1), 323225337, ( -1), ( -1), 599408568, ( -1), 894184962, 524449945, 295958262, 481162535, 426567173, 71007738, ( -1), ( -1), 79005541, 65946004, 529039309, 710977297, 989207231, 33661041, ( -1), 500829210, 55781587, 317219535, 168284623, 134899626, 426284728, 479202931, 284806905, ( -1), ( -1), 733736227, 28625829, 313965011, 826857363, 191894443, 589396729, ( -1), ( -1), ( -1), 568563348, 709322205, 335108156, 838190188, 351821275, 388280660, ( -1), 426477631, ( -1), 176606263, 714671272, 512372826, 56925931, 36126467, ( -1), 821495799, 1813332, 248128174, 824242451, 888529546, ( -1), ( -1), 243526457, 939265772, 850398077, 841720937, 410348938, 893735799, 883395875, 362647478, 405267006, 53741752, 159423448, 802949603, 580423017, ( -1), 825255636, 252393559, 420617610, 459135498, 350893194, 551095832, 837862132, 485461137, 944635577, 364712565, 346191471, 186179927, 957882451, 104083843, 351492919, 522281037, 228341871, 268786705, ( -1), 747490985, 590186335, 461298979, 1279428, 224409927, 604711602, 292792577, 313829091, ( -1), 799805219, ( -1), ( -1), 950825668, 244729347, 385644099, 7379688, 546265430, ( -1), 518059143, ( -1), 221414253, 221923316, ( -1), ( -1), ( -1), 153239808, 476079883, 278898495, 489749955, ( -1), 673804592, 285142849, 209610510, 480590691, 314228818, 147496989, ( -1), 854375943, ( -1), 734496835, 928401982, 825859697, ( -1), ( -1), 575023456, 831844802, ( -1), ( -1), 914123759, 822418569, 873714445, 534240508, ( -1), 537324236, 1435717, ( -1), 452211329, 599666100, ( -1), 953858298, 19531994, 344770601, ( -1), ( -1), 577007739, 129933650, ( -1), ( -1), ( -1), 30621937, 808792792, 487007405, 793378283, 999345518, 801905151, 213847657, 539285537, ( -1), 854347338, ( -1), 753483655, ( -1), 497686867, ( -1), 210639374, 300616145, 956926527, ( -1), 175172420, ( -1), ( -1), 21222697, 743077201, 180803002, ( -1), 588228465, 522065052, 235992294, 235080442, 374650553, 985415346, 519565364, ( -1), 461322586, 512619448, 147250421, ( -1), 534249011, 324541593, ( -1), 557194902, ( -1), 462598295, 858739081, 113975319, 201904670, 78280266, 883236153, 861160565, 457695252, ( -1), 996892082, ( -1), 640577304, 750654646, 513897337, 72438245, 960143831, 915826080, 243348706, 157005038, 730097998, ( -1), 896644389, 75009709, 724415954, 701565825, 430794830, 854860628, 90477810, ( -1), 725126208, ( -1), 758607809, ( -1), 911878307, 52710269, 2983027, 954173527, 19497803, 464023173, ( -1), 111291644, ( -1), ( -1), 568184482, ( -1), 883590791, 911729915, 831669685, ( -1), ( -1), 362374720, 933767058, ( -1), 328967750, ( -1), ( -1), 148049345, ( -1), 367644174, 82420093, 833303580, ( -1), 631850274, 785506801, 317681776, 524683519, 135987665, 870731057, ( -1), 28563998, 828478003, 417751267, 226175816, ( -1), ( -1), 579839117, ( -1), 479844030, 322368924, ( -1), ( -1), ( -1), ( -1), 72825822, 772859126, ( -1), ( -1), 163870857, 781384683, 901882771, 210564016, ( -1), ( -1), 881887604, 678929941, ( -1), ( -1), 840131077, 210662352, 163887179, 930063655, 206716962, 204667267, 938845328, 895192275, 618404477, 937977288, 558066212, 393940107, 991292462, ( -1), 188900267, ( -1), 855484489, 205302043, ( -1), 627828355, 462861447, 173521931, 461061220, 992507458, ( -1), ( -1), ( -1), 271047617, 188599909, 848203564, 143139367, 201019057, 81676124, 843072567, 936855817, 813059303, 677252910, 150541274, ( -1), 379525990, 978665360, 545047266, 956898829, ( -1), 711126790, ( -1), ( -1), 240641923, 513624315, 837335701, ( -1), 5477462, 721805867, ( -1), ( -1), 442765006, 810494822, ( -1), ( -1), ( -1), 799552861, ( -1), 677708757, 736010885, 642678461, 588300385, 994973655, 739913515, 456812644, ( -1), 346651916, 140198747, 175348963, 135173879, 953554771, ( -1), ( -1), ( -1), 860720599, 147240334, 673760677, 352879136, 306829760, 355713586, 413274222, 62479266, 740534795, 945642392, 829453226, ( -1), 944326359, 612201524, 677775138, ( -1), ( -1), ( -1), 368211962, 404939630, 414715255, ( -1), 995875428, ( -1), ( -1), 596040786, 951535634, ( -1), ( -1), 283817181, 304441933, 478113231, 985408401, 816721565, 750808634, 719854898, 612543168, ( -1), 277469836, ( -1), ( -1), ( -1), 299013633, 421406266, ( -1), 682815789, 562548044, ( -1), 158799366, 137099034, 338745927, ( -1), ( -1), 790606852, 211366720, 367104880, 485804968, 833175403, ( -1), 452416376, ( -1), 237830999, 192069570, 858204915, ( -1), 640364894, 958988884, 556933141, ( -1), 597333206, ( -1), 647130770, 76318770, 821163943, 317675461, 470159868, 118682575, 536244877, 596419880, ( -1), 170010200, ( -1), ( -1), 744961853, 310736252, 207446601, 399219485, 569396301, 638014121, 730994021, 931596188, ( -1), ( -1), 558584894, 915446641, 770325534, 435729909, ( -1), ( -1), 409182200, 100273966, 802416737, ( -1), 478655521, ( -1), 849971887, 462293647, 962967547, 720823937, 463860222, 206773170, ( -1), ( -1), 8403597, 628961408, 925806034, ( -1), 694746226, ( -1), ( -1), 552841109, 402302508, 435624996, 309093634, ( -1), 985310905, 44535207, 233606476, 899789097, ( -1), 266457431, ( -1), 731683, 344402436, 104928585, 147317531, 568790071, 163305712, ( -1), 906971429, 354484949, 179618346, 711491915, 299040611, 791332647, 806560148, ( -1), ( -1), ( -1), 725947689, 120503206, 31828548, ( -1), ( -1), 613124746, 98641444, 361572829, 632963927, 313135206, 271261748, 702158637, 510720141, 545401517, ( -1), 436654664, 850188667, 429882731, 777155469, ( -1), ( -1), 387209901, 647957918, ( -1), ( -1), ( -1), 112572607, ( -1), 759551091, ( -1), 63274436, 48664477, ( -1), 149641549, 965604184, ( -1), ( -1), ( -1), 120747893, 801040628, ( -1), 801226079, 711294372, 438360644, ( -1), 570937205, ( -1), ( -1), 844349190, 83715702, ( -1), ( -1), 766219182, 250008577, 935155578, ( -1), 910959072, 816301501, 31659750, ( -1), 556641807, 290116782, ( -1), 536914772, 189860415, ( -1), ( -1), 640976663, 751429576, 806825508, 402289999, 728137338, 523351113, 434603528, ( -1), 393615848, 991665258, ( -1), 809647440, 388055593, 502329492, 551179693, 406610923, 156135925, 961773776, 491772194, 946588099, ( -1), 756760884, 710104423, 781445836, ( -1), 669275570, ( -1), 247663903, 207196541, ( -1), ( -1), ( -1), 676007068, 843430063, 172694718, ( -1), 701027968, ( -1), 937711285, 448271164, 903731126, 989965255, 498820209, 446244367, 297269498, 598848588, 302519609, 838528099, 491703265, 674165750, ( -1), 679726460, ( -1), 970830537, ( -1), 652563513, 399772948, 732476754, 166885009, 937693074, ( -1), ( -1), 25906737, ( -1), 957134237, 748631102, ( -1), 247887749, 367092074, 423197977, 964131529, 794898498, ( -1), 421980530, 23029317, ( -1), ( -1), 214817233, 602698923, 475621473, 826451500, ( -1), ( -1), 906032967, 729631795, ( -1), 408948262, ( -1), 879041616, 469530620, ( -1), 822493795, ( -1), 604182922, 535207062, 796553904, 158739298, 740316628, ( -1), 660140782, 839872661, 269685341, ( -1), 64043628, 74381253, 543375687, 713077233, 839805324, 611151724, 34101134, ( -1), 404986402, ( -1), 645166328, ( -1), 360356192, 416264109, 296686473, 293579783, 363686439, 619711447, 764418044, 59955035, 282669066, ( -1), 642493198, ( -1), ( -1), 18514952, ( -1), 423982428, 784223467, 690332246, 682740496, 944715994, ( -1), 356842540, 438462817, 872290587, 344175866, 190067, 532997580, 805486187, 21445170, 519106399, 525307914, 199626980, 299543403, 455190274, ( -1), 845030871, 402544562, ( -1), 133535027, ( -1), 215727807, 874399811, 3414183, 714309111, 304258776, ( -1), 549452542, 797390193, ( -1), ( -1), ( -1), 570946708, 917001630, ( -1), 305244306, 589458985, 884731568, ( -1), 929749403, 885852871, 627071303, 539452943, 909462730, 450821721, 958387125, ( -1), 639985937, 789969897, ( -1), ( -1), 245758280, 708414988, ( -1), 958958064, 492260964, ( -1), 360238004, ( -1), ( -1), 611666163, ( -1), 209774846, ( -1), 918399054, ( -1), 406177185, 208627566, ( -1), 979646885, 192096742, ( -1), ( -1), ( -1), ( -1), 737406984, 459149475, 98572068, 499342006, 806235908, ( -1), 923623573, 558849922, 268500928, 557114192, 374635697, ( -1), 111076467, 691535281, 475012231, 994419617, 275361659, ( -1), 580139973, 83368428, ( -1), ( -1), 904248241, ( -1), 84161293, ( -1), 136372101, 943955526, ( -1), 678892543, ( -1), ( -1), ( -1), 680409161, 267478467, 252213164, 776014000, ( -1), 840969960, 562165278, 106476543, ( -1), ( -1), 153401456, 830064274, 541708257, ( -1), 677350455, 8277727, ( -1), ( -1), 273513787, ( -1), 974877351, 168325538, 647889455, ( -1), 943014675, 692819906, 978911924, 980782957, 706920313, 914888368, 571102614, 499578760, 787056340, 371036549, 735690562, 995801887, ( -1), 520286858, 535159494, 818221457, 835579561, ( -1), ( -1), ( -1), 872112651, 686079689, 42277127, 253870070, 945330865, 556131506, 851032278, 157311211, 577390956, ( -1), 562293746, 108046737, ( -1), 803201612, 481958102, 729137934, ( -1), 700534787, 227988311, ( -1), ( -1), 776144734, 943916281, ( -1), ( -1), 635758969, ( -1), 979409895, ( -1), ( -1), ( -1), 829770347, ( -1), 153680062, ( -1), 206548005, 319053344, 122118652, 732249740, 208435242, ( -1), 698553131, 222645287, 828822911, ( -1), 24543220, ( -1), 151804474, 350006028, ( -1), ( -1), 875378809, 862414933, 993236549, 918880784, 349966988, ( -1), 179359650, 416343590, ( -1), 677321660, ( -1), 470459691, 603517708, 42056436, ( -1), 924371790, 758783095, 760502807, 237223731, ( -1), 231648352, ( -1), ( -1), ( -1), ( -1), 130603494, ( -1), 534871030, 886974011, 519703165, 498530929, 588738923, 377197337, 323559729, 86060691, 575293161, 396042824, ( -1), 573414679, 51368549, 635979406, 633423423, ( -1), 101185047, 56655399, ( -1), 448487599, ( -1), 693424550, 984290794, 802943106, 169000656, ( -1), 875290613, 196338620, 676372130, ( -1), ( -1), 707682010, ( -1), ( -1), ( -1), 887625208, 116669835, 423711729, 422061227, ( -1), 939646270, 268371129, 187327332, ( -1), 303396090, 137113333, ( -1), ( -1), ( -1), ( -1), 213763748, ( -1), 98318217, ( -1), 41043424, ( -1), 727813739, ( -1), 722666773, 946035176, 780667565, 231712857, ( -1), 404460043, 860020705, ( -1), ( -1), ( -1), ( -1), 162788233, ( -1), 274258439, 166394028, 513141284, 553335855, 832997464, ( -1), ( -1), 959801226, 495918350, ( -1), ( -1), 167526543, 711504869, 750882092, 732341390, 853137049, 768107926, 260231041, 272352491, 646943071, ( -1), 139701061, 271245153, ( -1), 664318506, ( -1), 178528369, ( -1), 490577230, ( -1), 54122621, 535244459, ( -1), 452328479, ( -1), 649816217, 474004843, 754256975, 561427363, ( -1), 407972045, ( -1), 824787330, ( -1), 136078881, 393437832, 6837456, 929116159, 729178038, 49496012, 411916738, 235282634, 723750200, 753269448, ( -1), 604238019, 700534372, ( -1), 14996195, ( -1), 473495392, ( -1), 164940239, ( -1), 287948041, 336795259, ( -1), ( -1), ( -1), ( -1), ( -1), 394592578, 762584183, 555019227, 942240669, 387325380, 885765233, 535248533, 760012569, ( -1), 119213974, ( -1), 147304533, 699536350, 942247379, ( -1), 708687189, 947647264, 51381192, ( -1), 365729790, 225842683, 658056327, 376998587, 566133279, ( -1), 944474873, ( -1), ( -1), 662527590, ( -1), 583983761, 475884293, 942570094, 826999048, 725613546, 78950907, 542633558, 258116465, 819129974, 837860637, 180915781, 833456545, ( -1), 983654651, 218004436, 918445615, 391272701, ( -1), ( -1), 563286343, 768160041, 967955277, ( -1), 495382556, 180500254, 738791513, ( -1), 421605637, 989270014, 737448285, 696114839, ( -1), 459193350, 752694709, 637816208, ( -1), 388759314, 50133618, 894268005, 98711702, 9884940, 916310579, 923403966, 763123079, ( -1), 159940552, 292694306, 306419323, ( -1), 545628021, 699720253, 404556680, 127117087, 161786921, ( -1), 60920610, 700554417, 86938018, 612480509, 794030187, 707126696, 218960703, ( -1), ( -1), 513061332, 818464056, ( -1), 125552198, ( -1), 801420708, 464911505, 978231576, 3597267, 782521659, 730890744, 113310528, 329933531, 107720309, 35859320, 811558294, 368232175, ( -1), 472331250, ( -1), ( -1), 884277003, 82410892, 545108750, ( -1), ( -1), 553101104, ( -1), 354878074, 651218064, 399037076, ( -1), 166180310, 285113686, 171113732, 673649939, 786312271, ( -1), 852647925, 77199490, 237035211, 20835526, 254463417, 345616367, 683753049, 985691058, ( -1), ( -1), ( -1), 946197923, ( -1), 798446497, ( -1), 769752482, 263785727, ( -1), 357526525, ( -1), ( -1), 911165493, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 946729222, 663759878, 913235023, 374153079, 787265814, 117809775, 560833929, ( -1), 401400480, ( -1), ( -1), 935523640, 595495781, 47920937, ( -1), ( -1), 58920545, 186028846, ( -1), 360516888, 168921962, 51285409, ( -1), ( -1), 29196581, 130387560, 907303690, 819826241, 166327912, 505406093, 354146789, ( -1), 625120265, 795090561, ( -1), 303287251, 979583128, 745453084, ( -1), 904574207, 333010876, 522824056, ( -1), 433678804, 886521684, 874990521, ( -1), 843803937, 930140159, 653433424, 890116257, ( -1), 557740846, 588215077, 572569219, 59008192, 86841859, 953001661, 286618161, 437296757, 673634145, ( -1), 15451369, ( -1), ( -1), 554827973, 592088195, 755467858, 183310219, 363499068, 894739986, 62158010, ( -1), 895558868, 608945313, 918160676, ( -1), 606222445, ( -1), 816088963, 35414932, ( -1), 13109355, ( -1), 820004436, 584521680, ( -1), ( -1), 359978757, 673866108, 574678188, 675676631, 468128783, 281597531, 960453980, ( -1), 476826921, ( -1), 544863776, 337878387, 642583139, ( -1), ( -1), 319475460, ( -1), 422929375, ( -1), ( -1), 103460286, 817704502, 858311352, 185238499, 986277232, 350355078, 51144664, ( -1), 256934707, 675268197, 804281890, 488625907, 25259425, 502197052, 108276805, ( -1), ( -1), 345297358, 934047685, 791061351, 269153046, 80345184, ( -1), 367465629, 938604537, ( -1), ( -1), ( -1), 673514164, 117747376, ( -1), 387897516, 270461181, 296398115, ( -1), ( -1), 351251681, ( -1), ( -1), 778971637, ( -1), ( -1), 198183885, 811382077, 605113091, 50499207, 152956197, 166012998, 437855583, 872904284, ( -1), 732167076, 68211317, 716353862, 471496955, ( -1), 113822615, 847299340, 861957812, 358868913, 352008595, 718053939, ( -1), 592869455, 272268904, ( -1), 616841752, ( -1), 264244822, ( -1), 571213559, 140208713, 769470769, ( -1), 419706349, 916584856, ( -1), 28848552, 427072612, 942936809, ( -1), ( -1), 389318082, 370075434, 586196492, ( -1), 322769765, 402774022, 146808196, ( -1), ( -1), 943546003, ( -1), ( -1), ( -1), 515599874, 60796592, 771101895, 700963473, 296426975, 262841611, 656966690, 704584388, ( -1), 279959935, ( -1), ( -1), 828626886, 733106481, 426706342, 72025632, ( -1), ( -1), ( -1), 369043636, ( -1), ( -1), 121751964, ( -1), 524450982, ( -1), 80647787, 460069183, 830323542, ( -1), ( -1), ( -1), 352177166, 75546797, 788427157, 117173043, ( -1), ( -1), 450560002, 245953614, 306108626, 419399435, 956864932, 329776585, ( -1), ( -1), 543737605, 441916236, 529408170, 502623525, 174563535, 404695777, ( -1), ( -1), 66471797, 894408202, ( -1), 206005641, 476100220, ( -1), 530090534, 516144023, 283002022, 767334856, ( -1), 828700141, 384528237, ( -1), ( -1), ( -1), 557388066, ( -1), 384552187, ( -1), 25554355, 487534098, 562203286, 484019569, ( -1), 846200235, ( -1), 764904342, 536965292, 21578414, 109574919, 202244178, 771413316, 565908723, ( -1), 694386452, 189875003, ( -1), 310002187, 135157037, ( -1), 379922479, 953435196, 89965649, ( -1), 19396295, ( -1), ( -1), 944068208, 589827219, ( -1), 51560257, 805513289, 168772583, ( -1), 633600231, 548127681, 622878580, 727914270, 985684673, 106796134, 914347647, 798232993, ( -1), 470272116, 121634479, 592229008, 483744812, ( -1), 831065701, 449030206, 911255633, ( -1), 966414444, 76647402, ( -1), 766840893, 944531384, 167881281, 474843535, 662708113, 269387943, 209223592, 490430074, 643627947, 460193256, ( -1), 484450040, 827988045, 780155344, 1035807, 890831320, ( -1), 478163478, 804496856, ( -1), 415694457, 158260294, 693466607, 539909263, 16917036, 26162601, 792206384, ( -1), 211808363, ( -1), ( -1), 751415525, 832721971, 182716861, 816641185, ( -1), 410759989, 695929549, 609195308, ( -1), 680719363, ( -1), 967687938, 121982068, 24585471, 174353759, 853962195, ( -1), 449458519, ( -1), ( -1), ( -1), 829319385, ( -1), ( -1), 205119363, 419002389, ( -1), 865408590, ( -1), 165529938, 192074996, 592398877, ( -1), ( -1), 648058550, 706139000, 455626442, 642687144, ( -1), 257870871, 793607362, ( -1), 900025066, 45201143, 792371630, 354892669, ( -1), 822405513, 260009619, 432029397, 966034356, 318902623, 906095341, 438114324, ( -1), 289189456, 4405411, 741692207, 675495380, 380598371, ( -1), 414064872, 536856927, ( -1), ( -1), ( -1), 568032814, ( -1), 140417048, 859059448, 978168955, 578463948, ( -1), ( -1), 453841485, ( -1), 547600650, 517263447, ( -1), 560568958, 279075837, 576593840, 625643135, ( -1), 13253739, ( -1), 598668932, 447779100, 909760990, ( -1), ( -1), ( -1), ( -1), ( -1), 180166737, 34037492, 851919286, 664612555, ( -1), ( -1), 75060289, ( -1), 876564570, 865809871, ( -1), 919498994, 74441658, 47816325, ( -1), 131590056, 231080176, 658100928, ( -1), 267146705, ( -1), 199578614, ( -1), 289035329, ( -1), 226059017, ( -1), ( -1), 460742084, 127105572, ( -1), 3440570, ( -1), 924904953, 106429230, ( -1), 713113758, ( -1), 25865828, 231335831, 945067813, ( -1), ( -1), ( -1), 830938094, 680007969, 408293053, 436159239, 49708396, ( -1), 870533198, ( -1), 432027438, 798330375, ( -1), ( -1), ( -1), 161160850, 664543866, 837293295, 713228604, 481224287, 889151504, 266942393, ( -1), 300438692, 916812694, 387013387, 39306137, 202418245, 730988886, ( -1), ( -1), 151688211, ( -1), 876517750, ( -1), ( -1), 660244550, 266730550, 303286653, 312448449, ( -1), 199778525, 590136362, ( -1), 548433752, 473212992, ( -1), 753013525, 280340127, 828702528, 343700115, 361689910, ( -1), 897733624, ( -1), 15422951, ( -1), 824787328, 400179654, ( -1), ( -1), ( -1), ( -1), 828804913, ( -1), 494806705, ( -1), 201841362, ( -1), 454392730, 562387735, 574622291, ( -1), 356301045, ( -1), 319343294, ( -1), 992620674, 535679741, 983788748, 595996746, ( -1), ( -1), 406132128, 408766539, 794153630, ( -1), 729061701, 72494319, 289505920, 893376139, ( -1), 556749116, ( -1), 806914318, 946325803, ( -1), ( -1), 924080098, ( -1), 143711669, 947735898, 565608171, 31514260, 478725891, ( -1), 574207697, 30684635, 935483728, 885233730, 637067817, 369417751, ( -1), ( -1), 474851329, ( -1), 573935232, 423006223, 767951989, 525495407, 726264939, 907450561, 68428493, 52472263, ( -1), 623459145, ( -1), ( -1), 243375720, ( -1), ( -1), 480987552, 253107080, 654880839, 605047057, 148752976, ( -1), ( -1), 178712917, ( -1), 2220822, 193236016, 70147935, 702955480, ( -1), ( -1), ( -1), 792349091, 615807992, 464546431, 142168932, 876736680, 725306293, 168804549, ( -1), 718757687, 976608891, 774995031, 922360608, 75069608, 258713138, 505673157, 95856922, 251355144, ( -1), 766645613, ( -1), ( -1), 131597115, ( -1), 274117269, ( -1), 359471049, 950855356, 412400380, 778164892, 874769286, 762529745, 171435685, ( -1), ( -1), ( -1), 181507489, 762150291, 602351842, ( -1), ( -1), ( -1), 132472493, ( -1), 736743076, ( -1), 370253081, 137169270, 273805350, 352310131, 330802569, ( -1), 10784991, 303512358, 363541669, 872264989, 601901516, ( -1), 583185695, 354538321, 854385609, ( -1), 465657989, 985773163, 15612396, 866494836, ( -1), 352215454, ( -1), 487835801, 522319432, ( -1), ( -1), ( -1), 35022616, 149183018, 699985755, ( -1), ( -1), ( -1), 384284598, ( -1), 459435998, ( -1), 733440030, 963244101, 721627178, ( -1), 72352605, ( -1), ( -1), 27413501, 292040048, 587061931, 105749426, 907221253, ( -1), 494186457, ( -1), 242002456, 232377726, 680134750, ( -1), ( -1), 411952866, 129842685, ( -1), ( -1), 507449948, 435752422, 39266794, ( -1), ( -1), ( -1), 591895274, 466398687, ( -1), 64717934, ( -1), 229515817, 453355741, 770282637, ( -1), 129201809, 538701582, 473541487, 832602658, ( -1), 649902840, 339212142, 144828185, ( -1), 920064843, ( -1), 534294580, ( -1), 423047035, 926370237, ( -1), 376700101, 33619167, ( -1), ( -1), 814844274, ( -1), ( -1), 730585492, ( -1), 175761030, ( -1), ( -1), 96599601, 947716588, 464960392, 874007115, 154915754, ( -1), 679109252, ( -1), 282635271, ( -1), 326420285, 727137372, 42917999, 560706494, 44902020, 85403606, 804093985, ( -1), 130907759, 638241752, 936697734, 988143120, 944266949, 120965784, ( -1), 69784158, ( -1), 359308489, ( -1), ( -1), 788972678, 429456299, ( -1), 829449007, 824606784, 568354462, 241876795, 577396053, 284134726, ( -1), 51640376, 833297010, 803597729, 172971818, 746458617, ( -1), 211651303, ( -1), 105440686, 376838728, 43729322, ( -1), 494529597, 4224261, 850764291, 141670085, 181571401, 33669861, 165634158, 595077181, 272472508, ( -1), 904451018, 231827435, 828201299, ( -1), 547390368, ( -1), 800850940, ( -1), ( -1), ( -1), 727249025, 41889932, ( -1), ( -1), 108990483, ( -1), 984069703, 570712735, ( -1), ( -1), 931569695, 976285611, 875211676, 92419727, 450334726, 673827179, ( -1), 444243890, 302056513, ( -1), 560780727, 41828365, 37060365, 633682884, 389736800, 446240916, 888096566, ( -1), 298042128, 639353962, 670211035, ( -1), 21437108, 300891758, 312376614, ( -1), ( -1), 982974408, 758257301, 48657587, 988510603, 817335633, 315475029, ( -1), ( -1), 593183206, 785771521, 616567126, 317822491, 76485299, 804350327, 882563281, ( -1), 921696329, 15653185, 568678491, 863378076, 53274029, 111326416, ( -1), 680211325, ( -1), 84926340, 149532357, 756036392, 231935729, ( -1), ( -1), 462786143, ( -1), ( -1), 846685348, 698976812, 740853651, 630313234, 737635247, ( -1), 189569818, 925530236, ( -1), ( -1), 614130411, 333869598, ( -1), 841400225, 53333494, 65878102, 424865895, 478800149, ( -1), 360799468, 16431138, 878415256, ( -1), ( -1), 618755228, 978558196, ( -1), ( -1), ( -1), 194118894, ( -1), ( -1), 858709447, ( -1), 371731918, ( -1), ( -1), 232796599, 918758038, 222522870, 219212106, 543897828, 64815772, ( -1), 155391382, 766521004, 965630652, 925305204, 8545285, ( -1), 379894585, 39188799, 584223050, ( -1), 634448577, ( -1), 443876909, 325691941, 907776177, 746330058, 867122748, 387062311, ( -1), 766662108, ( -1), 167880983, ( -1), 328372010, ( -1), 729153454, 785886065, ( -1), 220336566, 421203051, 971779090, 447120780, 848111234, 857804637, ( -1), ( -1), ( -1), 601730640, ( -1), 213708768, 401411697, 60698914, 428076415, 717143817, ( -1), 487382690, ( -1), ( -1), 101351921, 341466971, 116132671, 893306465, 115520138, 997212418, 335002739, 125063190, 347076882, 200666095, 664469577, 747574801, ( -1), ( -1), 552974290, ( -1), 722500749, ( -1), 676738638, 467970999, 121828744, 4257058, ( -1), 789516300, ( -1), 558404817, 39813537, ( -1), 254107664, 926674063, ( -1), ( -1), ( -1), 847818564, 45930763, 239772518, 746956571, 486583237, ( -1), 796759765, ( -1), 816051724, 909988366, 863270078, 99254260, 833032307, 448635214, 873629008, ( -1), 794545127, 687114016, ( -1), 189526527, 262237161, 185314422, 499537478, 560244065, 795788560, 44056666, 805370923, 604408427, ( -1), 501360645, 464066960, 998816179, 212782648, 248518467, ( -1), ( -1), 990361168, ( -1), ( -1), 847804040, 61116726, 631973655, ( -1), ( -1), 847194636, 219969552, 761634949, 358417094, 671749286, 326635052, ( -1), 778572542, 914813733, ( -1), 360494451, 738239465, 761609118, ( -1), 525490214, 630977933, 676612990, 813820722, 389632668, 475637954, 978492960, 685008276, ( -1), 736914763, ( -1), 394422041, ( -1), 747841847, 617373112, 879547061, 675278758, 4590738, 585584036, ( -1), 9238212, ( -1), 779967947, 84439724, 923834532, 297784039, ( -1), ( -1), 943764021, 650499503, 867984745, ( -1), ( -1), 645619978, 632946142, 490244752, 490178846, 799783997, 329443089, 27478452, 419857436, 63772524, ( -1), 935277369, 143271041, ( -1), 958683376, 397685040, 726257776, ( -1), ( -1), 917104566, ( -1), ( -1), 513075308, 711259383, 450148139, 662500185, 505317631, 426263662, ( -1), 883128890, 767401816, ( -1), 425451380, 326351460, 179148486, ( -1), ( -1), 997932216, 932059914, 220219666, 19324159, 512165050, ( -1), ( -1), ( -1), ( -1), 814417651, 435246890, ( -1), 994273327, 541479267, 611027453, ( -1), 371642607, 332268147, 906145580, ( -1), 794465129, ( -1), 697746763, 199363067, ( -1), 368171116, 744818884, 996430806, 210280113, 503036640, ( -1), ( -1), 995006118, 498865975, ( -1), 112303813, ( -1), ( -1), ( -1), 737370012, 910794136, 105420269, 563628045, 641065534, 805253991, 912579454, 186321486, ( -1), 87924679, 235794305, 362955561, 433052472, 325811934, ( -1), 777234071, ( -1), 384226585, 261059234, ( -1), 987609823, 130403505, ( -1), 731846153, ( -1), 952337533, 766130569, 522030362, 344688998, ( -1), 43527921, 164037051, 271836869, ( -1), 408215017, 843597955, ( -1), 409128585, ( -1), 966078702, 762943302, 166807196, ( -1), 795917423, 364944425, 58297031, 763425592, 771035850, 359324954, 89397423, ( -1), 655901940, ( -1), ( -1), 174726605, 519154261, 925894137, 750367152, 360964031, 243308690, 40218026, 51800867, 116063272, ( -1), 218308919, 561838455, 292221685, 38902578, 948831029, ( -1), 657693838, 379004565, ( -1), 288686466, ( -1), ( -1), ( -1), ( -1), 666120624, 419484331, 699297557, 33432826, 560161309, ( -1), 325607250, 722694148, 682836139, 38005806, 682674920, ( -1), 683053989, ( -1), 315032994, 839033924, 574110372, ( -1), 544670654, 282374473, 210247034, 344584347, 526036134, 538377194, ( -1), 82485017, 562558528, 732160508, 921083955, 901648298, 472797491, 881786323, 459162907, 422869209, 122294640, 697413321, 829077385, 109816095, ( -1), ( -1), ( -1), 129216664, 754596081, 357056068, 446466192, ( -1), 902258453, 879346540, 555063859, 713382121, 995089484, 348136358, 983568496, 901071497, ( -1), 785314085, 588122336, 577069918, 100512824, 604484905, ( -1), 8313541, 704204626, ( -1), ( -1), 447248432, 315136284, 218451163, 2919567, 327296802, 325998765, 247396260, 714091942, ( -1), 308596756, 345843575, ( -1), ( -1), 33914370, ( -1), ( -1), 508389323, 518730590, 251713688, 374225601, ( -1), 481060082, 634701616, 855171957, 986425191, 494269018, ( -1), 258333580, ( -1), 406137243, ( -1), ( -1), ( -1), 155811630, ( -1), 398302929, 856757949, ( -1), ( -1), 90970135, ( -1), 239027365, ( -1), ( -1), 64443092, 271970872, 509638945, 806462310, ( -1), ( -1), 637508413, 739584303, 583369811, 744033134, ( -1), ( -1), ( -1), 259191257, ( -1), 355875743, 897911962, 938947473, 731770989, ( -1), 931318714, 791094105, 38180219, 616837922, ( -1), 356424049, ( -1), ( -1), 624031448, ( -1), 955946437, 360134859, 156497359, ( -1), 585421279, 306332436, 429301153, ( -1), 963650618, 889839754, ( -1), ( -1), ( -1), 534523299, 359455632, ( -1), 939439105, 630961115, ( -1), 950238013, ( -1), 542064915, 6715722, 322588925, 122132194, 440170429, 410174895, ( -1), 446928917, 145585105, 566187328, 611695886, 261731924, ( -1), ( -1), 756939910, 572685566, 962502126, ( -1), 509147205, ( -1), 279032231, 999044389, 288289172, 198648058, ( -1), ( -1), 739170315, 818644477, 796811505, ( -1), ( -1), 421532284, ( -1), 433084321, 981349164, 898594316, 646957405, ( -1), ( -1), 617781580, 827688353, 686037483, 868903301, ( -1), 365938370, 475828643, ( -1), 366318906, 567406660, 399870839, ( -1), 821184602, 348928990, 871789619, ( -1), ( -1), 675609544, 734665943, ( -1), 497081944, 350050789, ( -1), 158502176, 90572827, 29880418, ( -1), 36903510, 199079538, 181748215, 192931388, 586401001, 285489371, 523746787, 867321110, 615405610, ( -1), 240389241, 256933951, 840890184, ( -1), ( -1), ( -1), 324418870, 984589395, 335428504, 608761944, ( -1), 712395431, 675649899, 583845647, 452953115, 113728335, 741524754, ( -1), ( -1), ( -1), 545236700, ( -1), 731478816, ( -1), 534593110, 523504314, 464567471, 712989300, 209464520, 250212024, 747944993, 763735257, 147033469, ( -1), ( -1), 415244049, 115574916, 222677124, 603194335, 460214136, 793539153, 241593246, 494164298, ( -1), ( -1), 952380575, 339584305, ( -1), 184557288, 330667920, 212834093, 456311431, 677768692, 307908900, 4484853, ( -1), ( -1), 404815821, 370865460, 605809365, ( -1), 447226019, ( -1), 302804852, ( -1), 337279322, 131172422, 573320180, 785556794, ( -1), ( -1), 457456159, ( -1), 439001618, 889549385, 626956908, ( -1), 338642293, ( -1), ( -1), 365986432, 103657770, 543044555, ( -1), 477688529, 729692152, 70775086, ( -1), 153313025, ( -1), 982041279, 545946949, 667044464, ( -1), 290959627, 745183791, 235885940, ( -1), 238873827, 385459572, 336730597, 827770237, 765970101, 630225057, ( -1), 963605446, 460559618, 81458290, 299604584, ( -1), 686617164, ( -1), ( -1), ( -1), 250114259, 54059374, ( -1), 606077443, 11805713, 497369913, 396651819, ( -1), ( -1), 530417676, 374511846, 591846465, ( -1), ( -1), 954326213, 610846221, ( -1), 668166864, 273945166, 827066492, ( -1), 754934048, 802459302, 203996212, ( -1), 967559846, 765562913, 638834174, 759048837, 633989413, ( -1), 11324213, 343159940, 86049173, 170352944, 866197892, ( -1), 808735485, ( -1), 375485009, 530785052, 472631754, ( -1), 46222161, ( -1), 164294228, 248810106, 872342147, 835220295, ( -1), ( -1), 751596699, 602091826, 785778826, 589779315, 162956939, 367508115, 773160093, 301901756, 406347746, 10087234, 765848718, 768421814, 589879510, ( -1), ( -1), 774630154, 479002820, 76099811, ( -1), 19820447, 64738540, 863504152, 410721725, ( -1), 827936258, 674002091, 654298334, 153624075, ( -1), 383264891, 997817472, 28350025, 548229517, 915012844, 615420061, ( -1), 744097510, 207112700, 176402511, 851669417, ( -1), 482638344, 314411399, 148131874, 835931388, 9491989, 474635635, 210830311, ( -1), 527750693, 61380892, ( -1), 858612565, 139735712, 294057059, 10139742, ( -1), ( -1), ( -1), 97252228, ( -1), 707680679, 225095514, 289999656, ( -1), 431019034, 659234195, 822704635, 798197916, 954748945, 229637037, 621011682, ( -1), 374925001, 872587909, 260820207, 599269416, ( -1), 951498489, ( -1), 232544837, 759096270, 387583746, 805494668, ( -1), 508579443, 218173438, ( -1), ( -1), 359327494, ( -1), 920466841, 167029831, ( -1), 154815678, 19000326, 463402297, 12166281, ( -1), ( -1), 703234022, 808986572, 643388197, 526153605, 913188180, 682896125, ( -1), 435999003, 537514143, ( -1), 635468397, ( -1), 636843348, 564629819, 675366008, 585096363, 756970576, ( -1), 307579434, ( -1), ( -1), 560599349, 570521169, 615285189, 177675183, ( -1), 717036291, ( -1), 17187732, ( -1), 790130729, ( -1), 294464128, ( -1), ( -1), ( -1), 994580453, 889850383, 428859592, 819454875, ( -1), ( -1), 603604903, 847210225, 563645936, 352194894, 279474619, 26141557, 920030142, 318049473, 124330006, 968277996, 528112485, ( -1), ( -1), ( -1), 244441971, 792926247, 187049969, 82961081, ( -1), 937469942, 571626521, 190002758, 261107175, 866930757, 81029921, 174848046, ( -1), 429198733, 314239970, ( -1), 380882390, 761073621, ( -1), ( -1), ( -1), 700416911, ( -1), ( -1), 797062694, 994252268, 228532799, 121321716, 528322088, 378328540, 647054900, 528726885, 166812041, ( -1), ( -1), ( -1), 122066762, 651991623, ( -1), ( -1), 632448201, ( -1), 719752541, 103924911, 130846239, 491433192, 227393246, 729447114, 691173896, 301320045, 503261100, 738819294, ( -1), ( -1), 476910019, 312727423, 511320006, 181977576, 99487863, ( -1), ( -1), ( -1), ( -1), 39343225, 779768028, 670058303, ( -1), 283425992, 768466934, 207303, 995635657, 99556304, 626844054, 100891725, 449316222, 897411554, 119113878, ( -1), 610363973, ( -1), 757750896, 86034924, 847127392, 907475706, 985609620, ( -1), 611433968, 917969062, 27064742, ( -1), 946616279, ( -1), 821598913, 533302506, ( -1), ( -1), 480128166, 669243249, ( -1), 259075013, ( -1), ( -1), ( -1), 150790098, 193735567, 267801020, 317039532, 388502126, ( -1), ( -1), 446233062, 576352435, 600617537, 374507574, 488867977, 840429, ( -1), 860737411, 323831706, 703205658, ( -1), ( -1), ( -1), 29159413, 987190783, 573354993, 994986282, 429395851, 703281141, ( -1), 963149171, 667389271, 691455266, ( -1), ( -1), ( -1), ( -1), 805682352, ( -1), ( -1), 354536855, 123745902, 349490958, 161433389, 745533654, 300957050, ( -1), 504188284, ( -1), 544642128, ( -1), ( -1), 510374854, ( -1), 162924808, ( -1), 400936844, 797946340, 959415430, ( -1), 801697015, 369173165, 279828566, 478805892, 156829124, 179120095, ( -1), 397832746, 247965441, 894478750, 964694130, ( -1), 312299562, ( -1), ( -1), 793345194, ( -1), ( -1), 460844983, 843087727, 407582419, ( -1), ( -1), 625999452, 315643494, ( -1), ( -1), ( -1), ( -1), 398008313, ( -1), 733340976, 326094707, 72889142, 54446120, 731466497, ( -1), ( -1), ( -1), 532328921, ( -1), 964074738, 544497457, ( -1), 179262485, ( -1), 134499650, ( -1), 904580426, 525271267, 334546237, ( -1), 802824422, 412110130, 229498440, 675320434, 967334243, 101512018, 438893761, ( -1), 473278228, 327981938, 194020165, 981278262, 82579757, ( -1), 993117391, ( -1), 617216646, ( -1), 964308493, ( -1), 290367231, 716024790, ( -1), 43536193, 639592520, 841263543, 271957746, ( -1), ( -1), 981686243, ( -1), ( -1), ( -1), 756870529, 889186829, 754045012, 909512861, 733506005, 22322168, 37765996, 836976472, 740358051, 216151793, 575546991, ( -1), 56888214, ( -1), 282159754, 209605721, 899071909, 718361620, 256884415, 212033622, 413369575, 732648945, 490605327, 579107084, 575138963, ( -1), 554547428, 593096618, ( -1), 317762394, 250751560, 61161889, ( -1), ( -1), 495588611, 330676778, 471016045, 622988418, ( -1), ( -1), 481057062, 487060235, ( -1), 469741378, 942752970, 884022606, ( -1), 221819126, 218180084, ( -1), 7084567, ( -1), ( -1), 863310739, 401845768, 876831447, ( -1), ( -1), 14202114, 122734561, 455035698, 487514322, 754728969, 911873668, 1246709, ( -1), 612562543, 353474147, 228718637, 306959451, 109105762, 914563710, 46962099, ( -1), ( -1), 749536052, 964755837, 78273408, 510026013, ( -1), 967070562, 786672132, 821346027, ( -1), 632279412, ( -1), ( -1), 333047663, ( -1), ( -1), 224202300, 581399210, 245981604, 498656529, ( -1), 123963732, ( -1), 627658926, ( -1), 642939343, 330483122, 171807769, 783643525, 425320319, 966091517, 341343999, 954602729, 634458682, 608878558, 409464605, 757245741, ( -1), 863084670, 215380733, 614200832, 901149599, 958293558, 33308017, 50930221, 574231238, 397323806, 96527575, 588999819, 197554802, 543597291, 418887345, ( -1), 81153489, 5531534, 486812575, 163463134, 544308709, 927443611, 790837223, 535509196, 83843310, ( -1), 550172428, 966196811, 887615340, ( -1), 649222733, 728739125, ( -1), 494271731, 854354807, 487131699, 906778492, 113643440, 37641150, ( -1), 550266391, ( -1), 834826988, 678395891, ( -1), 622721430, 508530781, 226087740, 429405434, 396065726, 124344709, ( -1), ( -1), 822769985, 918904324, ( -1), 463468937, 917351821, ( -1), ( -1), 638988931, 79305814, 131060246, 581832459, ( -1), 434362021, 598841369, 739826469, ( -1), 637500479, 747699390, 973111934, 647982912, 489253656, 9464615, 110595732, 956628923, ( -1), ( -1), 945825493, 476475043, 184568082, ( -1), ( -1), ( -1), 653138610, 25366187, 290081520, 279579119, 812871054, 337478540, 272199939, 215826354, ( -1), 568432145, ( -1), 426375812, ( -1), 25831561, 188996903, 459851978, 861139065, ( -1), 499624749, 467798780, ( -1), ( -1), 606392672, ( -1), 517896544, ( -1), 31571276, 333056475, 533440886, ( -1), 998888220, 703796213, 960300214, 531529415, 14209287, ( -1), ( -1), ( -1), 983974875, ( -1), 607170751, ( -1), 858035778, ( -1), 645835557, 719481056, 80939683, ( -1), 846086033, ( -1), ( -1), 184506787, 461964442, ( -1), 36993412, 576499429, 558057677, 629553035, 197081852, 871330736, 236921967, ( -1), ( -1), 303308949, 732175668, 462690133, ( -1), 410330301, 971705420, 231031993, 12509892, ( -1), 32731266, ( -1), ( -1), 458802604, 733503516, 67692401, 897876597, ( -1), 438016173, 59475567, 980582644, 606345441, ( -1), 966208084, ( -1), 989434989, ( -1), 775580587, 998376747, 114822288, 112680420, 190660364, 553602125, ( -1), 711039799, 472812795, 905351612, 713747324, 934598838, 586771055, 62750895, 857638600, 986419907, 254327499, 121944554, 432597803, 581889600, 135924121, 29891754, ( -1), 310385869, 35273393, 13161720, 6314010, 379305484, ( -1), 405973193, 985570288, 792228044, 255741348, ( -1), 819755693, 100255108, 504768038, ( -1), ( -1), ( -1), 892148104, ( -1), 12912649, ( -1), 758696566, 683594353, ( -1), 806872445, 942153929, ( -1), ( -1), 10220816, 187042812, ( -1), 268232575, 655082096, 239552415, 137344666, ( -1), 726363286, ( -1), 406381938, 775622057, ( -1), 240614156, 165916184, ( -1), 798931677, ( -1), 345371023, 469642519, 447351467, ( -1), 472229279, 778231916, ( -1), 426071224, 778526184, 997521687, ( -1), 504242950, ( -1), ( -1), ( -1), 726269581, ( -1), 232834947, 52585624, ( -1), 596552995, 645866891, 402108634, ( -1), 902358653, 964377839, 358423999, ( -1), 683261843, 550981172, 593457304, 895574504, 636660686, 663156559, ( -1), 383351602, 315685452, 333675487, 753901647, 235258425, 502766898, 981278233, 972351574, 545314585, 509894093, 963043343, ( -1), 307138501, 208288523, ( -1), ( -1), 814052057, 106897973, 464254101, ( -1), 944066378, 701147376, 817108204, 58057266, 694203509, 400869305, 130293273, 121323929, 108413099, 576235889, 141193362, ( -1), ( -1), 522523748, 536960834, ( -1), 516260475, ( -1), ( -1), 598361168, 182000679, ( -1), 212620777, 58270012, 4562568, 479486354, 960261179, ( -1), 989745032, ( -1), 355232056, 314623135, ( -1), 975355187, 75085887, 906158416, ( -1), ( -1), 470526684, ( -1), 881521115, 259465749, ( -1), 590996576, 211182649, 307786093, ( -1), 771594007, 29250309, 156186845, 945015482, 482742817, 257377720, 424032406, 650578573, 131525983, 52055388, 641637668, 44169285, ( -1), 68648638, 146923275, ( -1), 363889420, 802568469, 134705390, 167536332, 953641465, ( -1), ( -1), 223739107, 19163029, 220291030, 482648421, 672939252, 416205636, 691089560, 792240125, 221145638, ( -1), 593248262, ( -1), ( -1), 707462714, 12138302, ( -1), ( -1), 879711038, ( -1), 658974637, ( -1), 442569585, 130601971, 922180596, ( -1), ( -1), 710794682, ( -1), ( -1), 62919060, 908439814, ( -1), 358056841, 408364266, 594760714, ( -1), 294198899, 653033794, 766061993, ( -1), 473045874, 815739291, ( -1), 758245157, 552543391, 108355592, 96092382, 936223841, 887153786, 175851853, 895797707, 63188544, ( -1), 84180855, 63404342, 22424408, ( -1), ( -1), 509049287, ( -1), 529962900, 201504380, ( -1), ( -1), 288419105, 981537810, ( -1), ( -1), ( -1), ( -1), 781118571, 658891567, 151555693, ( -1), 549585717, 954512779, ( -1), 931483836, 559980543, 304715278, 65232506, 532976462, ( -1), 983243675, ( -1), 181786754, ( -1), 93541501, ( -1), ( -1), 429521561, ( -1), ( -1), 555499666, 921982288, 520143442, 487881564, 939791259, 321537637, 996916399, 451812138, ( -1), 146887091, 794624225, ( -1), 172202845, 115035971, 712381870, 65252452, 168946159, 611826840, ( -1), 955710741, 731951417, 343816809, ( -1), 239619023, ( -1), 561731986, ( -1), 478849154, 70419887, ( -1), ( -1), ( -1), 915953564, ( -1), 183478603, 147501313, 28500121, 209436436, ( -1), ( -1), 22596405, 799873388, 440873774, 208422336, 215082581, 784871439, ( -1), 438859974, ( -1), 65781332, 399597216, ( -1), 579578571, 11445343, ( -1), 432625254, 149004654, ( -1), ( -1), ( -1), ( -1), 511384639, ( -1), ( -1), 453913944, 850665601, 670328007, 975926460, 291626461, 467569900, 348654472, ( -1), 632456188, 945141507, ( -1), 498800444, 13356509, 284930747, 437083597, ( -1), 29831115, 493639947, 954851183, 418325291, 34755217, 954575765, 614963216, 605229589, ( -1), 312857500, 639490910, ( -1), ( -1), ( -1), ( -1), 283238364, 922326922, ( -1), ( -1), 400385946, ( -1), 729926422, 243965947, 155210932, ( -1), ( -1), 949713677, 722666873, 122118845, 736006994, 867512777, 763908112, 861711497, 413633944, ( -1), 356908178, 482756438, 672855428, ( -1), 885059790, ( -1), ( -1), 863610691, 521382090, 741105504, 866855418, ( -1), 725623198, ( -1), ( -1), 214900295, 450543744, 197774690, ( -1), ( -1), 670720586, 3933229, 716633264, ( -1), 966514712, 934346708, ( -1), 997247578, 407782636, 464416357, 7473950, 145644261, 187665801, 569316803, 191877862, 97899135, ( -1), 862371348, 28889791, ( -1), ( -1), ( -1), 360179243, 577778046, 996084729, 306430777, ( -1), 922198235, 275567394, ( -1), ( -1), ( -1), ( -1), ( -1), 279739222, 184503229, 204854491, 89518843, 882009384, 650258256, 803014487, 899095469, ( -1), 44660340, 681367040, ( -1), ( -1), 622175579, 605957654, ( -1), 678438023, 153341354, 31126199, 572419456, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 66425521, 504925101, 983185619, 660889503, 559713788, 738394666, 456057104, ( -1), 540440387, 44810327, 226133964, ( -1), ( -1), ( -1), 57333727, 148129353, 520796211, 329365548, 283302559, 264408936, ( -1), 405321797, 832525260, 276667141, 98975310, ( -1), 36818524, ( -1), 491151940, ( -1), 988374700, 543174894, 11177524, 96280415, 748523108, ( -1), 165766954, 59276332, 289227292, 398115577, 980877613, ( -1), ( -1), ( -1), ( -1), ( -1), 971274647, 847250834, 369359578, 606120152, 675312459, 947799240, 374349922, 797977614, 807927806, 166382265, 613318770, 127157290, 642079228, 682947634, 468878090, 634347192, 727770464, 451133097, ( -1), ( -1), 858323490, ( -1), 824568277, 246215685, ( -1), 535513341, 144708767, ( -1), 972609650, ( -1), 645704983, ( -1), 776179110, ( -1), 673947217, 401411220, 448277211, 67003556, 514608667, 647121419, ( -1), ( -1), 1870131, 959303822, 245417948, 564620587, ( -1), ( -1), 959769721, ( -1), 777928048, 561650992, ( -1), ( -1), 316448541, 498030632, ( -1), 112755809, 735059910, ( -1), 767705683, 20461856, ( -1), ( -1), 129964643, 927026599, ( -1), 410817440, 913644244, 759210081, ( -1), 689517124, 894957426, ( -1), 891042175, 632953188, 566872934, 893357363, 556635621, 380904522, 731528625, 380621887, 591916207, 994187527, ( -1), 103292280, 100179300, 452943331, ( -1), 329613892, 273949755, ( -1), 34314500, 523986337, 742508983, ( -1), ( -1), 7585714, 987724759, 153027356, 305880842, ( -1), ( -1), 565926495, 899253662, 516812347, 672825470, 473303313, ( -1), 292110445, 273894610, ( -1), 935761793, ( -1), 855628455, 594966219, 125385467, ( -1), ( -1), ( -1), 644957146, ( -1), 5968628, ( -1), 584955759, ( -1), 349610472, 82424008, 25880413, 218281445, 18093876, ( -1), 186282554, 359548147, 387189664, 357274183, 121297805, 866476351, ( -1), ( -1), 528016297, ( -1), 72684018, 392640468, 636112160, ( -1), 621484690, 344938410, 749162425, ( -1), 47702422, 762966396, 102228987, 525662082, ( -1), 769108063, 362822011, 998015867, ( -1), 576813182, ( -1), 767224497, ( -1), 465657237, 694807003, 904562285, 465406280, ( -1), ( -1), 781038027, 309786090, 982008069, ( -1), 959533217, 394328981, 501273975, ( -1), ( -1), 389438349, 658740220, 901566963, ( -1), 620766215, 435617098, 958297857, ( -1), 279676936, 514136142, 298141131, 487418253, 373882116, 919431473, 119185779, 72820174, 395386035, 645895262, 514859969, 186956551, ( -1), 904963384, ( -1), 190308614, 835330766, 165195539, 85687063, ( -1), 221367339, 217909825, 516727774, 589040484, 725078092, 179389326, ( -1), 284711448, 801729257, 326006573, 117551686, 55456601, 506394150, 584606700, 285587275, 916303101, 135882177, 32544192, ( -1), ( -1), ( -1), 139546928, 478644502, 728609928, ( -1), ( -1), 720747883, 569827060, 880847475, 829679227, ( -1), 475789429, ( -1), 839913275, ( -1), 178029218, 131730172, 104201329, 743370437, 445880692, 999812123, ( -1), 319337676, ( -1), ( -1), 250667655, 714608230, 756184399, 281789888, 245900940, 281181858, ( -1), 666118574, 142507719, 718588900, ( -1), 962409181, ( -1), 934500492, ( -1), 467436464, 718708520, 227237535, 289656613, ( -1), 591765138, 360882146, 559717889, 13550819, ( -1), 819684687, 377041863, 439588779, 335656995, 128010147, 424841961, 694723443, ( -1), 331453608, 154786961, 174277611, ( -1), 293659969, ( -1), 756981312, 457098618, 389912135, 264377968, ( -1), ( -1), 175960183, 267081123, ( -1), 14133970, 339238465, 358167148, 821450638, 482359021, 379576062, ( -1), 124722208, ( -1), 156643326, 425718029, ( -1), 563342168, 908392052, 658286689, 377018909, ( -1), 158096298, 395469635, ( -1), 613211476, 668890099, 576279389, ( -1), ( -1), 489654053, 253914305, 841161937, ( -1), 127905458, 90144680, 824702855, 773134072, 698810635, 175569026, 598733154, ( -1), 772848506, ( -1), 255475686, ( -1), ( -1), 900307990, ( -1), 131889488, 368332213, 127998388, 654865101, 506530665, 311677682, 261807481, 362708415, 143893955, 339165504, 706154128, 518915540, 571373191, 717286245, 829967756, 679223111, ( -1), ( -1), 602306098, ( -1), 643463704, 345909805, 651226246, 191705433, 639257236, 498117547, ( -1), 937156516, 300781983, 485114822, ( -1), 217202812, 449387769, 337493301, 304962129, 70648418, 658379701, 914575950, 273483836, 2902712, 140030342, 245384847, ( -1), ( -1), 39811004, 748552882, 48275981, 58196252, ( -1), 398376700, 194153253, 324739230, 951264758, 481776951, ( -1), 904327728, ( -1), 499315654, ( -1), 546910128, 262133062, 441183455, ( -1), 244307062, 488868504, 364769741, 106571645, 167126109, 637502841, 135187499, 112850490, 635499732, 4617873, 333741684, 241129161, 469499023, 969284458, 122582032, ( -1), ( -1), ( -1), ( -1), ( -1), 567928464, 536870612, ( -1), 60389102, 705812933, 367555265, 675959197, 365794464, ( -1), 59731649, 1026585, 585018874, 239535739, ( -1), 931326144, 653413633, 337261405, 633698032, 849796167, 360905567, ( -1), ( -1), 106926389, ( -1), 426164466, ( -1), 381745527, 764671219, 743750556, 454554825, 887192211, ( -1), ( -1), 927713216, ( -1), ( -1), 78134117, ( -1), 472997161, ( -1), ( -1), 296644929, 8970542, 1810694, 50548450, 533380867, 339156604, ( -1), ( -1), 980872981, 211768003, 147514714, ( -1), 804389638, 613429474, ( -1), 443283539, 209779237, 794346082, 351292484, 834524519, ( -1), ( -1), 291121240, ( -1), 989520494, 440776717, 464131903, ( -1), 604814693, ( -1), 869015197, 553926273, 472847685, 963086563, 496047087, ( -1), 915892788, 481804523, 536072390, ( -1), ( -1), 643943519, ( -1), 613194080, 233505737, 321407264, 284517580, 626067232, ( -1), ( -1), 690249808, 114852086, 904859914, ( -1), ( -1), 622486615, 359575888, ( -1), ( -1), 734728865, ( -1), ( -1), ( -1), 9415522, 529996650, 451979121, 339903617, 5400925, 251633844, 962355929, 26287671, ( -1), 574167522, ( -1), ( -1), 195836354, 780431759, 795771222, 980508163, 807988666, ( -1), ( -1), 85140150, ( -1), 143399167, 977362295, ( -1), 141454340, 61412669, 850465212, ( -1), 480602931, ( -1), 618080133, 550831625, 899832715, 267242819, 103113533, 862465522, 849352827, ( -1), 897568981, 27014925, ( -1), 481581851, ( -1), 241526530, ( -1), 786694366, 478579431, 612758187, 148160459, ( -1), 125003598, 735729723, ( -1), ( -1), 16713341, ( -1), 448375325, 479670220, ( -1), 936013134, 935796440, 641002766, 75328366, 53539954, ( -1), ( -1), 282985591, 534750059, 545219864, ( -1), 305286448, 818629490, 194983260, 873638961, 117088346, 309718907, 940838717, ( -1), 832745024, 71414136, 20589534, 258926389, ( -1), 236067962, ( -1), ( -1), ( -1), 400011464, ( -1), ( -1), 614328898, ( -1), ( -1), ( -1), ( -1), 978416473, 158475776, 872773089, ( -1), 696555672, 288543312, ( -1), ( -1), 473479052, 375676844, 520028122, 181582771, ( -1), 951457636, 313177328, 989925781, ( -1), 21482100, 256592002, 933990897, 858706992, ( -1), 255231844, 453611913, 227718694, 969348656, 629402062, 178308512, 893782482, 509869678, ( -1), 11695178, ( -1), ( -1), ( -1), ( -1), 647580378, 135813211, ( -1), 527141786, ( -1), 654091422, 848257116, 477083782, 901722783, 316621062, 46086387, 465565683, 790513239, 505660717, 227125232, 214741753, 339822959, ( -1), 93145053, 465761431, 545327423, 704852649, 219430849, ( -1), 17276403, 310159880, 187795311, 124638315, 585480537, 860692412, 976522989, 695218649, 633718454, 623768682, 336165006, ( -1), 61978358, ( -1), 721668626, 420817463, 705751864, 408229357, 983415369, 339692347, 565646241, 804561983, ( -1), ( -1), 880646207, 595137354, 315272328, 463156273, 455091321, ( -1), 972417356, ( -1), 698911715, 51527282, 32107195, 172656156, ( -1), ( -1), 968862376, ( -1), ( -1), ( -1), 970553707, 266651546, 271149916, 970603374, 260308615, ( -1), 582540213, 968309100, 201183024, 537754671, ( -1), 922736853, 228274243, ( -1), 503374026, ( -1), 494383954, 416283241, 248979819, ( -1), 882002099, 176060404, 448607285, 516035067, ( -1), ( -1), 250105626, 334396168, 391381027, 536976384, 635565845, 425627283, 124916816, ( -1), 8015109, ( -1), 929848643, ( -1), ( -1), 447224417, 86100300, 995579154, ( -1), 834287478, 276174827, 618504295, 116211232, ( -1), 213086785, ( -1), 471215357, ( -1), 992840187, ( -1), 249708389, ( -1), 893918381, 24852886, ( -1), 722836582, 373647106, 521935918, 78917050, ( -1), 174462233, 835943651, 664983127, 38406082, 436896856, 933686857, ( -1), 657072544, 43057285, 882958016, ( -1), 884342469, 768142362, ( -1), 524186282, 741907217, 977923245, ( -1), ( -1), 415470027, 30950468, 202815850, ( -1), ( -1), ( -1), 790712770, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 483634113, 219198852, ( -1), ( -1), ( -1), 237416412, 288037477, ( -1), ( -1), 676308859, ( -1), 741996812, 457556641, 491821755, 316621528, 187188224, ( -1), ( -1), 945015170, ( -1), ( -1), ( -1), 352860971, 88402211, 750884252, 989961892, ( -1), ( -1), 708075573, 592039159, 178934467, ( -1), 209391474, 201604263, 993492752, ( -1), 328609956, ( -1), 827138129, ( -1), 270347147, ( -1), ( -1), ( -1), 614897153, ( -1), 73437872, 288029824, 831940197, 586269852, ( -1), 431385120, 385964422, 283024880, 35903391, 596580485, 185725462, 98988904, ( -1), 535200213, 198988684, ( -1), 292495069, 900994720, 73667189, 644578627, 849975886, 543721067, 309887057, 780360711, 550787633, 600515025, ( -1), 91001180, ( -1), 49837148, 794992242, 663548003, 419301866, 116974156, 524681245, ( -1), 240529508, ( -1), 926625224, 907753740, ( -1), 6909889, 321984715, ( -1), 331338842, ( -1), 722059628, ( -1), 768443077, 246650788, ( -1), 843270724, 283796224, 138778574, ( -1), 793269339, 623858118, 990630796, ( -1), 964512034, ( -1), ( -1), 100349194, 353189251, 196974528, 471377725, 687569433, 745270050, ( -1), 243600100, 613028108, 969039650, 903923334, 308430042, 391150761, ( -1), 156935047, 723910914, 663688616, 568913176, 506328991, 811490991, 621585868, 621961664, 280335079, ( -1), ( -1), 871805649, 295543837, ( -1), 915450937, 699269268, 544068423, 440936325, 210407726, 163699643, ( -1), 77289198, 718704877, 407802727, ( -1), 263871625, 849551404, 909188134, ( -1), ( -1), 698110680, 536388569, ( -1), 207261296, 699107611, ( -1), ( -1), ( -1), 361164933, ( -1), ( -1), 152856653, 816336213, 268728633, 484527742, 704123307, 861931031, ( -1), 410151816, 157101631, ( -1), ( -1), 448098526, ( -1), 444283546, 82042905, ( -1), 84574557, 365340699, 8184274, ( -1), 645405138, ( -1), 187867726, ( -1), ( -1), 608938737, 465368536, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 795873185, 206030644, 614200099, 124975403, 853770769, ( -1), 306636336, ( -1), 882175563, ( -1), 582086872, ( -1), 969582521, 420032453, 821971332, 27353321, 823894822, 351269558, 977476296, ( -1), 525107140, 6688740, 121978978, 423387541, 612239213, ( -1), 901162, 221877344, 566605075, ( -1), 56493014, 872852626, ( -1), 600288905, ( -1), 472464885, ( -1), 772256787, ( -1), ( -1), 516520619, ( -1), ( -1), 848402595, 874814487, 438639153, ( -1), 912809237, 844430359, 488669863, 589911325, ( -1), 297991294, ( -1), ( -1), ( -1), 142568915, 96557438, 370836756, 668438517, 95401300, 184294168, 560923514, 663693259, ( -1), ( -1), 623977355, 910162403, 98683798, 749659581, 374127673, 912157502, 506174700, ( -1), ( -1), ( -1), ( -1), 568357530, ( -1), 376302165, 618290279, 100017320, 911491391, 589806459, 845402972, ( -1), 615559022, 78544627, 690826104, 220452746, ( -1), 860403594, 897019120, 637544607, 20036866, ( -1), 160104184, 554286330, ( -1), 449394659, ( -1), 966721505, 83257874, ( -1), ( -1), 713231712, 587735018, 942806338, 875864209, ( -1), ( -1), 586636927, ( -1), 316313686, ( -1), 904650772, ( -1), ( -1), 156647766, 338728677, 883883288, 476212414, 322195643, 624158188, ( -1), 10747098, 665557635, 457834267, 159591874, ( -1), 575950849, 814734379, ( -1), ( -1), 534944920, ( -1), 553275146, 546001023, ( -1), 902426430, 684228288, 231587301, ( -1), ( -1), ( -1), 811828865, 790615232, 992186838, 94678385, ( -1), ( -1), 97148578, 764263259, 485043337, 569669424, 453042549, ( -1), 832537528, 621749450, ( -1), 557440441, 479547262, 799786747, 116022939, 825250036, ( -1), 410084310, 262376904, ( -1), 357443231, 129129567, 558391034, 639464612, 819086646, 854875398, 300394316, ( -1), 414094631, 756330906, 736875102, ( -1), 953968775, 712567927, 908020261, 610858807, 61780322, 497044370, 242619565, 935465635, 945545798, 302254941, 278423142, ( -1), 966511171, 927239652, ( -1), ( -1), ( -1), ( -1), ( -1), 402313626, 637154522, 319856995, 481961716, 21726065, 141830206, 134377678, 929795974, 557790815, 745273642, 816366231, ( -1), 95433159, 459832899, 24210851, ( -1), 317175438, 497079031, ( -1), ( -1), 311886729, 194629017, 290649093, 7291063, 528678241, ( -1), 672254150, ( -1), ( -1), 403468668, ( -1), ( -1), ( -1), 447850503, 708758773, 509093590, 581904583, 797610872, 175092681, 662343689, 813389426, ( -1), 579481434, 48905799, 461519114, 615975621, ( -1), ( -1), ( -1), ( -1), 143829071, 972364208, 836646080, ( -1), 981810361, 816685230, 372508965, 409692777, 383359021, 479693494, 582388949, 51193722, ( -1), ( -1), 569756011, 776388755, 598816046, ( -1), 249628718, 451364520, 848774592, 278228400, ( -1), 116482153, 856600720, ( -1), 984321064, 445393813, ( -1), 431510530, ( -1), ( -1), 862980051, 432869407, ( -1), 96712654, 704200355, 481134531, ( -1), ( -1), 911021655, ( -1), 44407410, 911933794, ( -1), ( -1), 234583214, 201955422, 182246925, ( -1), ( -1), 308649911, ( -1), 856837129, 882764687, 494488088, ( -1), ( -1), 714099920, ( -1), ( -1), 195621403, 992773126, ( -1), 924587377, 415888821, ( -1), ( -1), 300489168, 934629846, 977710096, 194158161, ( -1), 130166361, 573807734, 236402908, ( -1), 893487317, 833791776, 454518917, ( -1), ( -1), ( -1), 291486850, ( -1), 36711340, ( -1), 202165435, 923101434, 16783361, 783106127, ( -1), 330486856, 910018859, 672185625, 77957357, 248876800, ( -1), 704275168, ( -1), 378410424, 252275738, ( -1), 894138956, 320496090, 769255746, 405542938, 236145072, 960112186, 361755655, ( -1), 497753286, 6488547, 494077232, ( -1), 838159424, 549189764, 689362902, 334510811, 853480878, 586055700, ( -1), ( -1), 540658906, ( -1), ( -1), 419926248, 811566724, 935551842, ( -1), ( -1), ( -1), 604548740, ( -1), 442691632, 900245546, ( -1), ( -1), 604318724, 231773379, 810775415, 616989960, ( -1), ( -1), ( -1), ( -1), 547390185, 721830846, 129627428, ( -1), 33735026, 597183880, 595508298, 369704149, 746548258, 995898605, 666366013, 756881684, ( -1), 253314312, 467295883, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 498200274, 589863142, ( -1), 765368692, 550458435, 638246973, 22039503, 329528586, 17690561, 264315754, 173099708, 917934061, ( -1), ( -1), 568122320, ( -1), 765409093, ( -1), 882961836, 367710701, 945964713, 979116895, 876509044, 270431167, 197988342, 302268499, 803561279, ( -1), 135711604, 606920767, 883939701, 877179943, 510245398, 384495633, 223760007, 736177012, ( -1), 593830509, 887977060, ( -1), 847370618, ( -1), ( -1), 891569784, 795941519, 103309668, ( -1), 545618611, 348294004, 326928471, 614318921, 701824012, 386653297, 923174585, 712643233, ( -1), 991192728, 225212905, ( -1), 606499323, 657829413, 400584485, 514606865, 181422663, 402171865, 161968823, 501049784, 695546803, 160950617, ( -1), 690800498, ( -1), 391090529, 228105479, 247069080, 863976865, ( -1), ( -1), 806625610, ( -1), 186763350, 849250000, 559873108, ( -1), 337453654, 897382655, 469136985, 26061157, ( -1), 139458092, ( -1), 179177926, ( -1), 868042657, 864654876, ( -1), ( -1), 288823292, 336275561, 277883218, 872818331, 720009038, 562124777, ( -1), ( -1), 924904650, 899793527, 255102837, ( -1), 871234168, 102363097, ( -1), 570823329, ( -1), 633631435, ( -1), 187924882, 173122417, 334799882, ( -1), 654161256, ( -1), 207009081, 922221784, 572690617, ( -1), 330542454, 778254638, ( -1), 56892955, 362366535, ( -1), 82036087, 440745185, ( -1), 524177020, 404226625, 18086923, 215535602, ( -1), ( -1), ( -1), 963667207, 730374130, ( -1), 48160733, ( -1), 495840177, ( -1), ( -1), 693544636, ( -1), 281302322, 461714060, 70601578, ( -1), 897038500, 372489421, ( -1), 107241975, 233711460, 747765339, 418452846, 159788133, ( -1), 195564177, 136885025, 962049510, 888763838, 261935166, 909908792, 660674626, ( -1), 516353703, 969753198, 121316758, 965858906, ( -1), ( -1), 347502720, 441311230, ( -1), 511681563, 468945937, 978105165, 466508643, ( -1), 143844194, 241282968, 125433265, 187061306, 384859753, 792390491, 262618335, ( -1), 775207849, 917800814, 357969948, 688028814, 757935650, ( -1), 702070540, 812059118, ( -1), 561412635, ( -1), 486133384, 337004657, ( -1), ( -1), ( -1), ( -1), 342471849, ( -1), 563215894, ( -1), 455852697, ( -1), ( -1), 623915993, 114150314, ( -1), 190264332, 357399309, 567810036, 878624969, 531028390, 969993386, 785986047, 485837984, 397574678, 243625080, 435301927, 102527274, 539511263, 864612316, 122870019, 268494573, 303235915, 149532384, ( -1), 309358258, 458739472, 199610595, 29499194, 474358037, 576495821, 904776034, ( -1), 404341990, 747196475, ( -1), 500589638, ( -1), 378909530, 111277819, ( -1), 786872135, ( -1), 455441431, 248366640, 239797338, 26539725, 56822753, ( -1), ( -1), ( -1), 873844940, 695860342, 401822127, 181858006, 861634674, 339462369, 517203943, 324454408, ( -1), 794260059, 14294096, 797589059, 867770663, ( -1), 712724875, ( -1), ( -1), 584967328, 484122321, 694269394, ( -1), 471778381, 982701710, ( -1), ( -1), ( -1), 82723837, ( -1), 423577502, ( -1), 544205175, 980952279, 364906544, 364450666, ( -1), 518984322, ( -1), 675684392, 342624560, ( -1), ( -1), 362907308, 121523932, ( -1), 515030830, 410605606, 761997671, 799079516, 304661319, 750962219, ( -1), ( -1), 151517896, 661113165, ( -1), 519017200, 315188040, 893706849, ( -1), ( -1), ( -1), 237808251, 122420299, ( -1), ( -1), 702015313, 953070437, 116446442, 358868623, 192047569, 534074257, 187571352, 305031614, ( -1), 530394945, ( -1), 955134492, 410839059, 695041647, ( -1), ( -1), 995350773, 270342506, 531731976, 92702779, ( -1), ( -1), ( -1), 298670876, 214810948, 380617197, 938133394, 587113751, 208629041, 237179688, 683621511, 720183984, 460824756, 299481686, ( -1), 238142867, 673791149, 363526200, ( -1), 276741624, 710793243, 167332225, 877242118, 167453145, 30373349, ( -1), 916628594, ( -1), 720036729, 354935871, 807455003, ( -1), 466639957, 184666101, 227853144, ( -1), ( -1), 440144314, ( -1), ( -1), 412049736, 505883617, 247515307, 320524092, ( -1), 659361525, ( -1), 268317104, 707936309, 626328659, ( -1), 476925223, 319811160, ( -1), ( -1), 217902796, 380209802, 920816668, 199608893, 413763362, 894592101, ( -1), ( -1), 534684237, ( -1), 968125373, 124521759, 795580392, 658231181, 149917037, 832226384, 6772906, 622099667, ( -1), 387051153, ( -1), ( -1), 802663462, 788511757, 430380807, ( -1), ( -1), 17459293, ( -1), 596535061, ( -1), 430286218, 960959035, 877579377, ( -1), 21077934, 907982887, ( -1), 732448617, ( -1), ( -1), 343920657, 947676939, ( -1), 462487265, 490946289, 241174811, 8242448, ( -1), ( -1), 486051494, ( -1), ( -1), 492569126, 592132207, ( -1), ( -1), 497441147, 193156491, 194566796, 908492994, ( -1), ( -1), 483891811, 837122373, 89792931, ( -1), ( -1), 353012061, 317726316, 219760324, 671665848, 338998189, ( -1), ( -1), 507361801, 580019868, 902019775, ( -1), 347348686, 341544440, 991835353, 125861622, 401756335, 676355813, 213220049, 169557853, 991744295, ( -1), ( -1), ( -1), ( -1), ( -1), 421935134, 375138707, 335156308, 676260002, ( -1), ( -1), 156275307, 572240047, ( -1), 313732985, 898160917, 957264015, ( -1), 138146839, ( -1), 247351137, ( -1), 166037242, 82216213, 590976998, 545271729, ( -1), ( -1), 164183660, 628243722, 848324485, 382059937, 220933909, 498694715, ( -1), ( -1), ( -1), 274405698, 929750264, 194413765, 147872318, 580566087, 376915000, 907365857, ( -1), 703027357, ( -1), 341451825, ( -1), 654512794, 971367705, 155542921, ( -1), 211313677, 624250897, 339573725, 457616061, ( -1), 652330566, 394576112, 320852196, ( -1), 437174815, 557748575, ( -1), 233549303, 237515691, 288215126, 559993393, 698848828, ( -1), 184990, 910995914, ( -1), 137578082, 179855042, 606383715, ( -1), ( -1), ( -1), 674790684, ( -1), 820794036, 722201224, 506697661, ( -1), ( -1), 488665643, 723488436, 107530750, 476699715, 374075591, 969979563, ( -1), 294153740, ( -1), ( -1), 740839457, 686347984, ( -1), 225890072, ( -1), ( -1), 280861941, 828810212, 276732835, 132036983, 272408286, ( -1), 830973747, ( -1), 777523519, 356287556, 582828906, 821483807, 125793039, 163087195, ( -1), 590444531, ( -1), ( -1), 574394438, 130498015, 396884112, 61119776, 855703500, 420766893, 159553450, 834979055, 780932370, ( -1), 833322706, 397120911, 875075402, 521226462, 664052080, 977126236, 347287396, 84010941, 834430489, 485510990, 214584904, ( -1), ( -1), 504397325, 547150199, 737881700, 833516764, 108125787, 868855792, 209362829, 844765161, 356495475, ( -1), 645700345, 300975954, 129205152, 363810869, 293813659, 309269315, ( -1), 662376156, 835732017, ( -1), ( -1), 668854303, 220850779, ( -1), 600814557, 902373991, 438739051, 314975264, 591350079, 143028770, 495787821, 710800657, 130681889, 892539814, ( -1), ( -1), 68118626, 221667404, 572439717, 635561006, 272087489, 632060727, 827965585, ( -1), ( -1), ( -1), 953945535, 970193508, 395528174, 633391641, 953415060, ( -1), 311148027, 34133675, ( -1), 395145221, 431365180, 856751073, 1945588, ( -1), 886635716, 56785645, 954900518, 142174785, ( -1), 572468139, 34784351, 46872467, 277674430, 238523052, 997849483, 163904482, 998639318, ( -1), 744694309, 32654955, ( -1), 153119137, 399470861, ( -1), 753030783, ( -1), 45605451, ( -1), ( -1), 712234167, 871801223, 579021224, 518666521, 774788068, 648954352, ( -1), ( -1), ( -1), 78600966, ( -1), 291008388, 720809038, 296784312, 813840093, ( -1), 574862027, 972288776, 679536919, 168898666, 705966740, 385120065, 767112167, 829872836, 517012799, ( -1), 742208494, 898478437, 442664307, 22916672, 377536802, 983546898, ( -1), 395184703, ( -1), 346133097, 266641136, 557487562, 447279394, ( -1), 127185654, ( -1), ( -1), 893264059, 378716116, 996579562, 746091694, ( -1), 33669698, ( -1), 531175940, 394235874, 276845005, ( -1), 959594977, 800958523, 466972274, 429088586, 332615559, 620403367, 561506236, ( -1), 530332499, ( -1), 315185852, ( -1), ( -1), 42751497, 194964501, 143977492, 297305910, 726021468, 651176930, 968249981, 830173020, 330498688, ( -1), 729857176, ( -1), 864337707, ( -1), 336829912, 92396623, ( -1), 91319438, 817401754, ( -1), 842991509, 859548576, 522036940, ( -1), 175570440, ( -1), ( -1), 794500723, 703587222, 31008804, 751791675, 541541385, 322966139, ( -1), ( -1), 650253947, 421954779, 718366133, 129995057, ( -1), 389034130, 500361797, 852716930, 851166979, ( -1), 743665892, ( -1), 578276047, 715839737, 540971023, 718165618, 206581198, 353568356, ( -1), 723297598, 752734005, 900234196, 835695535, 489404751, ( -1), 2512988, 340392458, ( -1), 519600706, 590172193, 673715958, 444466079, ( -1), 855980867, 410797873, 240382819, 990564287, 726742061, 684974258, 153494344, 80566739, 400007701, ( -1), 785889798, 927947254, 272348991, 457205794, ( -1), 373553815, ( -1), ( -1), 140990709, 764742867, 260880512, ( -1), 593361369, ( -1), ( -1), ( -1), ( -1), 201121231, 237232597, 376401249, ( -1), 312705997, ( -1), 787863456, 494098032, 516394824, ( -1), 79832721, 450735313, ( -1), 917515276, 849495248, 340098533, 136630379, 883609008, 650185569, ( -1), ( -1), 157957510, 33753721, 769415858, 123525906, ( -1), ( -1), 662177644, 5398623, 343672373, 211330534, 551121330, 136674337, 61481684, 677577985, 393194075, 160368929, ( -1), 663217464, 801295749, 239242835, 434337186, 316981843, 764357767, 374854501, 165120016, 796871881, 382580058, 706863158, 501228563, 973942839, ( -1), 950177383, 202049489, 20265361, 259141775, 777415139, 669905096, 846316790, 39516947, 565119391, 667571696, ( -1), 601655108, ( -1), ( -1), ( -1), ( -1), ( -1), 17589119, ( -1), ( -1), 573353581, ( -1), ( -1), ( -1), 88676132, 832914234, 603639864, 905717325, 47305557, 553949598, ( -1), 305448431, ( -1), 554484939, 921009251, 801381053, 66379139, ( -1), 733212251, ( -1), 260994791, 939753066, 92546903, ( -1), 465607061, 709246145, 294097906, ( -1), ( -1), ( -1), ( -1), 5269691, 615393879, 79921838, ( -1), 68921861, ( -1), ( -1), 794931715, 603705256, 59336402, ( -1), 215449187, ( -1), 432079671, 81618007, 252356810, 705896414, ( -1), ( -1), 810719312, ( -1), ( -1), 551794254, ( -1), 186921197, ( -1), 733864120, ( -1), 116842436, 853807369, ( -1), 300974554, 898147596, 830854219, 991874912, 689505729, ( -1), 35702845, 805858779, ( -1), 728370927, 374180685, ( -1), 250147911, ( -1), 13109062, 145606965, 684834933, 227987611, 24378162, ( -1), ( -1), ( -1), 516210574, 133983538, 695193035, 360313268, 859831416, ( -1), 270001720, 750231108, 156443872, 355469881, 235887770, 13956823, ( -1), 758910853, 652492221, 18574260, 124378142, 312552587, 56151089, 909119046, 31508596, 176650247, 401158193, ( -1), 36720184, ( -1), 54153900, 371414387, 653677790, 363133173, 989438809, 234253309, 822782571, 428358529, 918361305, 826317842, 116794222, ( -1), ( -1), 220755405, 843726134, ( -1), ( -1), 697367348, 912391524, 897532479, 843621059, 604473290, 599105787, 976097040, ( -1), 958999944, 275283281, 438217612, 468740560, ( -1), 640461250, 676876577, ( -1), ( -1), 205710835, ( -1), 748529406, ( -1), 141272278, 317301998, 727153411, 615702241, 484627629, 184232642, 74317861, ( -1), 675385928, ( -1), 802113877, 838835218, 452372414, 594745083, ( -1), 197967643, ( -1), 463665512, ( -1), 916255942, 764174092, ( -1), ( -1), 585926384, 79792391, 202849583, ( -1), 492971533, 418978308, 576564842, 314556912, 311555602, 235937694, 964218669, 698399796, ( -1), 811007602, 619224499, 121410469, 284255496, 812832582, 900313862, 996680183, ( -1), 235964481, 116231312, 847920823, 996057878, ( -1), 560653659, 661275038, 662551347, 397231943, 824937567, 909340834, ( -1), 873796457, 764129350, ( -1), 572546302, 427780934, 357914249, 16021414, 357891630, ( -1), 781445224, 972796979, 160172567, ( -1), 862261908, 53517455, 878677447, 518699789, 856656367, ( -1), ( -1), ( -1), ( -1), 717962625, 638962058, ( -1), 189090353, 771021424, 476639272, ( -1), 183057984, 554561759, ( -1), 725296390, 883450763, 672977863, ( -1), 630971255, ( -1), 555946770, 659185922, ( -1), 282128576, 880686304, 355704801, 726101816, 191767255, ( -1), 202361488, 88057563, ( -1), 873640691, 816770923, 896262042, 876501038, 143588877, 292832824, ( -1), 450893035, 984407812, 314705705, 134086722, ( -1), 433729119, 12901251, 280186598, ( -1), 80844486, 803452873, 240227819, 746406729, 968586787, 848124965, 308183453, 65257477, ( -1), ( -1), 856151311, 175796123, ( -1), 687636922, 770084179, 80585408, 488150748, 117759760, 966131268, 16352322, 708065311, ( -1), 512759350, ( -1), 668571277, 652177946, 618092916, 636681320, 690970914, 888525459, 636639786, 774753393, 659355368, ( -1), 199657817, 884203182, ( -1), 707127392, ( -1), 822561874, ( -1), ( -1), ( -1), ( -1), ( -1), 246676132, ( -1), ( -1), 91815753, ( -1), 983440986, 636366320, 206751006, 281003922, ( -1), ( -1), 548657080, 715215789, ( -1), ( -1), ( -1), 608111147, 356961600, 393161746, 479071520, 436818961, 632838979, 112191248, 466655590, ( -1), ( -1), 967512099, 227167263, 945158459, 547910043, 480576106, 896299094, 74560210, ( -1), 153526489, 594271034, ( -1), ( -1), 446030572, 753394342, 835414978, 120561177, 345692294, 633340541, 339290979, 537059220, 276553432, ( -1), 339941791, 728830486, 228343640, ( -1), 697481017, ( -1), ( -1), ( -1), 969394065, 598995149, 400423102, ( -1), 100457646, ( -1), 224871643, 998243389, ( -1), 330064481, 36010265, ( -1), 944643366, ( -1), ( -1), ( -1), 266569478, 719239197, 28441238, 379866041, 297494640, 924451744, 800206770, 292524796, 356949766, 581019187, ( -1), ( -1), 529398394, 864015855, 374515996, 514321896, 994906862, ( -1), 181214182, 825108122, 458617242, 784621886, 217832902, 33680223, 212701790, 535574205, 914887466, ( -1), 577621331, ( -1), 283890503, 15596786, 115837627, 333607197, 269856181, ( -1), ( -1), 96299680, ( -1), 543912707, ( -1), ( -1), ( -1), ( -1), 508032452, 438899396, 260188292, 972352171, 602891488, ( -1), ( -1), ( -1), 644623536, 41825942, ( -1), 816591402, ( -1), 119441698, 160377101, 908394209, ( -1), 842706777, 7062977, ( -1), 351097804, 358405585, ( -1), 784606623, 794247199, 389723175, 498999358, 653791711, 905200825, ( -1), 654989776, 833778336, 576215217, ( -1), ( -1), 659340200, 121399493, ( -1), 419148187, ( -1), 663721115, 898184695, 371586158, 743359819, 412557648, 123027546, ( -1), 416598287, ( -1), 515195474, 345795146, 162633618, 255214521, ( -1), 81548143, ( -1), ( -1), 954532532, 126991672, 301543674, ( -1), ( -1), 151489742, ( -1), ( -1), 460276964, 462620461, 502692714, 604728743, 621627719, ( -1), 819557776, ( -1), 728115914, ( -1), 436908480, 594313962, 715589898, 459186225, 556149527, 862445316, 864144245, 947668302, 233226237, ( -1), ( -1), ( -1), 132758140, 174219253, ( -1), 276033598, ( -1), ( -1), 229944799, 245898075, 118513934, ( -1), 632196402, 706780333, 704750381, 509520794, 587774589, ( -1), 565283423, 287507823, 733089459, 769970446, 686768550, 573492094, 204391554, 598379964, 212036793, 541694871, 780800474, 517345379, 117062891, 514306292, 294839715, 936080926, 970664567, 25292602, 422747947, 92458954, 649554814, ( -1), 401389344, 836891067, ( -1), 174724484, 103807923, ( -1), ( -1), 639832077, 706360004, ( -1), 739914620, 178503350, 929019459, 925406891, 317465220, 357993864, 841435760, 713954545, 93312827, 78142658, 161834643, 870701049, ( -1), ( -1), 156631058, 214650930, 550274557, 23299387, 45311855, 313399455, 355272687, ( -1), ( -1), 96904237, ( -1), 19501459, ( -1), 791391450, 221751733, 879821161, 938159877, 9281655, ( -1), 741784695, 492437421, 785990772, ( -1), ( -1), 895171395, 451021298, 506934207, ( -1), 299049718, 630021871, 791756110, ( -1), ( -1), 511090192, ( -1), ( -1), ( -1), ( -1), 909321558, 820945168, 200323196, ( -1), 385384490, 669850380, 455641321, ( -1), ( -1), 326264758, 378501378, 826192258, 962051163, ( -1), 444542500, 439373618, 35610091, ( -1), ( -1), 592335304, 190758285, 620108843, 427627832, 590128993, 327785061, 581943476, 215222962, ( -1), 419819383, 98430899, 816122794, 798691122, 743112432, 222476903, ( -1), ( -1), 167350746, ( -1), 473871165, 182239698, 42843400, 857985473, 678556524, ( -1), 115678437, ( -1), 680257111, 88170015, 401656503, 228459659, ( -1), ( -1), 613982179, 223171690, ( -1), 406290056, 212423290, 754607051, 89461022, ( -1), ( -1), 415172069, 427217294, 682656594, 245274283, 370278935, ( -1), 850935156, 391531710, ( -1), 508924067, 79023382, 388229027, 595289612, ( -1), 371172865, 724863195, ( -1), ( -1), 629268601, 675371941, 809497208, 143532158, 205424136, ( -1), 283897118, 26332315, ( -1), 577526313, 645544470, ( -1), 576684057, ( -1), 387394934, ( -1), 65271633, ( -1), ( -1), 626752075, 717118529, ( -1), 805049645, 283901426, 285131607, 658734383, 492608487, ( -1), 19348350, 642237232, 336648466, ( -1), 955259694, ( -1), ( -1), 85085576, 117991180, 653250541, 416434052, ( -1), 763078514, ( -1), 97138388, 75567136, ( -1), 950355622, 6387324, ( -1), 503528939, 885871758, 444808532, 158898251, 603936155, ( -1), 508548376, ( -1), ( -1), ( -1), 204509952, 610379971, ( -1), ( -1), 390075303, 118909388, 823684491, 42216659, ( -1), 562547442, 16813437, 701942911, 444556850, 412128256, 740492125, 332598607, ( -1), 229151236, 295724251, ( -1), 625726971, ( -1), 325582141, 913321848, 258030695, 579647016, 624015994, ( -1), 432525951, 368029647, ( -1), ( -1), 575301102, 462726612, 703213495, 932767851, ( -1), 813657200, 544149145, 600053679, 937815944, 509125528, 169791287, 542683053, ( -1), ( -1), 851949695, ( -1), 511592531, 125546571, 5865855, ( -1), ( -1), 980737311, 320290002, ( -1), 234092937, ( -1), ( -1), 307301040, ( -1), 220487321, 249116479, 12518292, 574484074, 542526193, 773537196, ( -1), 46527146, 724114397, 760972304, 976976552, 198345964, 953625707, ( -1), 72782746, ( -1), 247664750, 144303561, 820449607, 144831635, ( -1), 222767782, 392479771, 328199585, ( -1), 258357615, 57814403, 521094982, 275028647, 496976783, ( -1), 677774416, 764086825, 636646371, ( -1), 742300952, 377977437, ( -1), 526257995, ( -1), 754438971, 197390870, 89788328, 871971048, 884595451, 341507526, 160113773, 847616990, ( -1), ( -1), 344188915, 441036992, 85088274, 55498430, 464603127, 380031222, 563223123, 636053294, 471823265, ( -1), 705270291, 342954200, ( -1), ( -1), 404743417, 278938022, ( -1), 732604509, ( -1), ( -1), 724259292, 695698107, 110690140, ( -1), 113984987, 760944227, 826626177, 670104815, 611881928, 297233814, 588348882, 684671307, ( -1), 925314374, 781770045, 167312995, ( -1), 602357792, 571123320, 844702792, 996458934, ( -1), ( -1), ( -1), ( -1), 331740024, 670297256, 641541372, 335647428, ( -1), 533718800, 331255799, ( -1), ( -1), ( -1), 323485777, 447741464, 436560674, 413944956, ( -1), ( -1), 437722085, 565969883, 231544821, 815545121, ( -1), 234310579, 617350173, ( -1), 611289733, ( -1), 906651685, 34338530, 56903960, 172728035, ( -1), 677174034, 720510999, ( -1), 532812790, 558544007, 250311552, ( -1), 743370004, 817343011, 897404721, 729067484, ( -1), 531279515, 614982768, 163266355, ( -1), 441510668, 115952376, 128495660, 558378025, ( -1), 586508197, 683821818, ( -1), 10102929, 774139177, ( -1), 996379767, ( -1), 871906981, 838911567, 819686090, 924538482, 995350100, 794853270, 33409698, 960930755, 742439212, 761968882, ( -1), ( -1), 122500018, 392212852, ( -1), ( -1), 778767410, ( -1), 3613510, ( -1), 567560423, ( -1), ( -1), 530436717, 469995521, ( -1), 298207171, 135234039, 848673718, 404597117, ( -1), 422163241, 241536212, 388619804, 681692692, 624968344, 874084508, ( -1), 851687607, 510530613, 293048904, 665127202, 285542826, 579617098, ( -1), 76626908, 287633440, ( -1), 106719480, 115615541, ( -1), 861543470, ( -1), 978455136, ( -1), 499364672, ( -1), 145190083, 331390665, ( -1), 552168651, 91164253, 650026599, 981455430, 439337962, 569187910, 58889432, ( -1), 975468641, 882457702, 519123497, 596119811, ( -1), 436517798, 979357521, ( -1), 908573015, ( -1), 666888184, 842864103, ( -1), 878926589, 233779215, 234670546, ( -1), 291588264, ( -1), 804414386, 947095866, 483329547, 79472516, 563551056, 205002722, ( -1), 581439295, ( -1), 482282858, 567263445, 454051559, ( -1), ( -1), 491060395, 403942741, ( -1), 688409965, ( -1), ( -1), 539342839, ( -1), 431492793, 235040641, 679306912, 306758478, ( -1), ( -1), 392110460, 366959932, 235885516, 368170472, 844128705, 457214958, 619267714, ( -1), ( -1), 200140092, 814350752, ( -1), 61393142, 858526007, ( -1), ( -1), 161194403, 880485489, 702382915, 76849231, 283900857, 430380231, 707784391, 365362179, ( -1), 988501785, ( -1), 7262414, ( -1), ( -1), 106122788, 115605055, 215656364, 344713525, 471931077, 472337292, 754537572, 338611574, 719666938, 118149097, 209160073, 893557260, 125153003, ( -1), 693405375, 71208218, 317756856, 621706958, 794993606, ( -1), 497409028, 225219397, 944572589, 65075217, 107683772, 215606594, 134293345, 245057566, 799169292, ( -1), 57904578, 842964357, 947176930, ( -1), ( -1), 235415780, ( -1), ( -1), 181666587, ( -1), 891403633, 889617009, 532828211, 528671996, 539403272, 809007455, 400037165, 444197038, 155117162, 179764373, 213401981, ( -1), 917443984, ( -1), 256262436, ( -1), 891528463, 102503422, 931269875, 230590914, 708393923, 795437145, 291068164, 499723434, 992466908, 99310382, 776965361, ( -1), ( -1), ( -1), 564465162, 198831586, ( -1), ( -1), 767400137, 372715020, 535466402, ( -1), ( -1), 666619734, 705942424, 228776214, 544157735, 748363181, ( -1), ( -1), 258748369, 99864883, 587105358, 519900339, ( -1), ( -1), 399423030, 688776923, ( -1), 755388874, 847306226, 392268217, ( -1), 519989321, ( -1), 446054721, ( -1), 543139193, 951341310, ( -1), ( -1), 181507649, 144589068, 98509048, ( -1), 415616492, 394817062, 301768418, 148135930, ( -1), ( -1), 572273327, 534869368, 779108494, 769529622, ( -1), 869166196, 845248224, 307106457, 953214252, 359391649, 421779075, 494213463, ( -1), 929547967, 202571450, 285365033, 367297707, ( -1), ( -1), 421146113, 98933977, 905409724, 344929764, 840496154, 202493435, 51561340, ( -1), 98232385, ( -1), 833858842, 481415429, 136517371, 403616123, 183643887, 120518867, 498716983, 81849161, 387724348, 681079040, 563892658, 350538447, 390134954, 358794173, 625281143, 131656758, 472988519, 356830308, 35237471, 28239224, 340233047, 55101236, ( -1), ( -1), 569993474, 621113499, 412445644, ( -1), ( -1), 916291999, 705126856, 34612081, 898346721, 117372269, ( -1), 393625633, ( -1), ( -1), 971008739, ( -1), 853387268, 720446905, 690398439, 188642341, ( -1), ( -1), ( -1), 537740479, 124133896, ( -1), 769414746, 158961654, 617454589, 240316297, 261455007, ( -1), 964784394, 585197143, 102540995, 693522905, ( -1), 353358523, 863845145, 492546702, 398915301, 547739456, 789392219, ( -1), 935614514, 343504060, 555000076, ( -1), 450840718, 634173552, 100191937, 976206436, 959883089, ( -1), 49522929, 166705943, 299222469, ( -1), ( -1), 599377222, 827545748, ( -1), 262283189, 503992514, 150340004, 117878026, 343682633, 924727121, 934812800, 178203440, 531463748, 228216576, ( -1), ( -1), ( -1), 533352545, ( -1), ( -1), ( -1), 906926780, ( -1), 526124773, 989358140, ( -1), 500948981, ( -1), 384972637, 985031935, 39920495, 953716412, ( -1), 807649576, ( -1), 957606363, 279011996, 990117503, 815855758, 373868904, 162572917, ( -1), 666455135, 943961841, 659733374, ( -1), 249072893, 284193552, 356291272, ( -1), ( -1), 320242010, ( -1), 100787781, 109227089, ( -1), ( -1), 420672061, 749909875, ( -1), 673598275, 550089193, 584746049, 722533817, 793519392, 420525521, 295730918, ( -1), 339088597, 166359369, 861425016, 511300402, 739558765, 971370116, 938952601, 631989742, 573504558, 901203408, ( -1), ( -1), 145532395, 975116424, 883854473, 807699103, 139485530, ( -1), 661261037, 733478305, 119810759, ( -1), 786614437, 781280851, 9755162, 447584002, 366415178, ( -1), 158902336, 188467506, ( -1), ( -1), ( -1), 257198024, 539542077, 515378102, ( -1), 294687890, ( -1), ( -1), 509606760, ( -1), ( -1), ( -1), 428388053, 729587698, 745191466, 560647327, 414607278, ( -1), ( -1), 668861670, 713203995, 78936742, 844047404, ( -1), 536436286, 290215446, 573469179, 90866254, 305848729, 930225540, 378781410, 389254454, ( -1), ( -1), 573275340, 562587591, 249929047, ( -1), 447200307, 533646948, 406490723, ( -1), 681156986, 542317419, 798587794, 786677373, 519149164, ( -1), 484251400, 176086969, ( -1), ( -1), 944743872, 548391053, 569943678, 995050912, ( -1), 835745274, ( -1), ( -1), ( -1), ( -1), 840380319, 987517088, 899627215, 470342657, 373418252, ( -1), ( -1), 886109332, 525248712, 138455588, 756218857, 406727771, ( -1), ( -1), 948411434, ( -1), ( -1), 469226798, ( -1), 849796876, 325394356, ( -1), 661003183, 193093068, 243014327, 853959023, 656291485, 296345942, 11526432, 769465527, 615421824, ( -1), 332834172, 972611418, 162332447, ( -1), 915251974, 746156690, ( -1), ( -1), 980946961, 778191606, 340133257, 654498619, 239595957, 127275532, 557415708, 879565658, 627522932, 232212195, 317908998, 392582158, 967370699, 888555390, 874344084, 619385399, 213904963, ( -1), 200555249, 936128014, 59569003, 302893607, 486963154, 831825651, 510576740, 994299260, ( -1), 699949312, 608996693, ( -1), 274305556, 614395114, 914823801, ( -1), 799482176, 828220902, ( -1), 113330190, 511318888, ( -1), ( -1), 861329868, ( -1), 463233335, ( -1), 246533399, 744621477, 27322054, ( -1), 801436146, 797032385, ( -1), 361713280, ( -1), 177034462, 890076353, 631735265, ( -1), ( -1), ( -1), ( -1), 495654339, 297080415, 86079270, 434774303, ( -1), 665723101, 341473728, 447677763, 254347616, 237566717, ( -1), 668597065, 777824978, 87201009, ( -1), ( -1), 1940802, ( -1), ( -1), 501863784, ( -1), 421259380, 853204308, 500373088, ( -1), 629196488, ( -1), 868536852, ( -1), 101202069, 296984722, 41978691, 778859888, 177143015, ( -1), 91223957, ( -1), ( -1), ( -1), 309452475, 943657572, ( -1), 902173868, ( -1), ( -1), 815433378, ( -1), 92419894, 548371169, 996311114, 344193199, 779610756, 822342831, ( -1), 582291929, 286064305, 590965375, ( -1), 576848676, 888984950, 967310138, 357816905, 958209979, 610459099, ( -1), 613021390, 43080574, ( -1), 432116637, ( -1), 991458894, 560399548, 321931468, 988290038, 11329290, 122011591, 127999927, 979261450, ( -1), 634139089, 629509351, ( -1), 519988102, 933359446, 625745416, 340016434, 185515787, 294566111, 903413029, 989761424, ( -1), 92960500, ( -1), 83923904, 510420499, 963211655, 598880309, 746863499, ( -1), 149433195, ( -1), 271147146, ( -1), 983642854, ( -1), 303675305, 227786496, 549450025, 224877026, 282833326, 5107065, ( -1), ( -1), 949275185, ( -1), 467119792, ( -1), ( -1), ( -1), ( -1), 115866098, 623399807, ( -1), 572938608, 18727483, 995827073, 783810845, ( -1), ( -1), ( -1), 963162449, 304698002, ( -1), 982974648, 724458950, 827979794, ( -1), 519878761, 283721413, 846396712, 668459860, 664718292, 308190837, 411710410, 481561478, ( -1), 325395237, ( -1), 479745418, 237158968, 447642481, 193131713, 566141520, 452637778, ( -1), ( -1), ( -1), ( -1), 215979183, ( -1), 358801913, 73723136, ( -1), 768493292, 257776876, 26410218, ( -1), 997713837, ( -1), 850361459, 212971173, 675750162, ( -1), ( -1), 555670972, 900811823, ( -1), 605845396, ( -1), ( -1), 298475088, 19432039, 954511248, ( -1), 993025950, 259828262, ( -1), 597435849, 273012006, 821850117, ( -1), 920555865, 61277528, 806043267, 551350316, 466053508, 107416110, 413423945, 172375647, 495482144, 405883929, 634518113, 166464667, 504658120, 583702389, 122456605, 983604481, 790777876, 378432235, ( -1), 865774607, ( -1), 277101566, ( -1), 677292655, 882340982, ( -1), ( -1), 221979832, 345947858, 658361238, 758761018, ( -1), ( -1), 480421689, 656716468, ( -1), 36847950, 292136503, 321250559, ( -1), 808997174, 352037797, 32243827, ( -1), 271842430, 697920770, 853976280, 498555504, 788838219, 624403629, 903357352, 226496201, ( -1), 597949784, ( -1), 484421027, 964360233, 800942241, 797709965, 561925652, 610830414, 83269884, 680294707, 395892919, 809031011, 789953202, ( -1), ( -1), 746397092, ( -1), ( -1), 286800283, 974398133, 552922579, 422424692, 861978691, 318248821, ( -1), 479417976, ( -1), 395672315, ( -1), 319990764, 668382533, 878099742, 613832297, ( -1), 606841766, 254544944, ( -1), ( -1), 307688704, 705332371, ( -1), 310592108, 692387098, 93936952, ( -1), 945080261, 74881999, 32973584, ( -1), ( -1), 651877680, ( -1), 706456649, 254606443, ( -1), 618659215, 690956361, 937267707, 847610709, ( -1), 669068987, 560615094, 511238952, 246900240, 594410989, 328689217, 730426215, 955137422, 343181517, 6428788, 833414450, 210653359, 655728929, 726611075, 766171567, 399190678, 320788798, 134957167, ( -1), ( -1), 244157108, 799671072, ( -1), 569190665, 567359218, 571190186, 748248492, 191302015, ( -1), ( -1), 54364420, 472792379, 173536420, 710459513, ( -1), ( -1), 905747613, 988895949, ( -1), 855819448, ( -1), 951086801, 887470328, 579586689, ( -1), 843543812, 642309949, 806886326, 853716791, 582749856, 565029473, 165683100, 913509103, ( -1), ( -1), 545120850, 364043239, 207771037, 800991414, ( -1), 479332634, 931358084, 98618050, 345018579, ( -1), ( -1), 822503716, 463785917, 386666571, 572437347, 221734280, ( -1), 132340129, 434882452, ( -1), ( -1), 354308075, 359925881, ( -1), ( -1), ( -1), 272396166, 63788518, 557265754, 7942174, ( -1), 20839564, ( -1), ( -1), 234840220, 917551912, ( -1), ( -1), 911648039, ( -1), 623056909, 509529149, 649099922, ( -1), 199947586, 320360151, ( -1), 784860221, 227630917, 959697980, 380110647, 160781614, 975225458, 770655652, 741004711, 412960158, 497912100, 539061036, ( -1), 593714100, 728228249, 964135203, ( -1), 149139547, 222556860, 407968797, 511751155, 943200586, ( -1), 866780401, 345019122, 249582903, 229540768, 680834706, 652358010, 400165613, 466204699, 71527854, 857542444, 55460840, 608446336, 129140583, 77490631, 124255522, ( -1), ( -1), ( -1), 481522648, ( -1), 557186666, 726629627, 935206348, 482771743, 706034829, ( -1), ( -1), 965217656, 145084189, 979153325, ( -1), 264735373, 40095286, 277711973, ( -1), ( -1), ( -1), 715598701, 58533252, 194232952, ( -1), 430219664, 408942510, ( -1), 870714247, 326346530, 692201905, 410994592, 126927007, ( -1), 542063794, 581545448, ( -1), 81533648, ( -1), ( -1), 353945923, 297856721, ( -1), 309055956, 403204532, ( -1), ( -1), 318863372, 901779075, 379423541, ( -1), 497786397, ( -1), 562653521, ( -1), 570373272, ( -1), ( -1), ( -1), 89679634, ( -1), 784768217, ( -1), 917958655, 16791275, 125493143, ( -1), ( -1), 256558115, 764932463, 466471810, 120516725, 614624269, 63564186, 326612565, ( -1), 95905532, 164085654, ( -1), 150900318, 876661305, 777562647, ( -1), 6321843, ( -1), 516048817, ( -1), 326439867, 202443929, 919482593, 712209891, ( -1), 381827216, ( -1), 890259671, 536850506, 322772412, 9729709, 239117175, ( -1), ( -1), 414977800, 960516751, 764816552, 388308067, ( -1), 364676635, ( -1), 235758174, 451747729, ( -1), 492934432, ( -1), ( -1), 59390094, 259903734, 568620792, ( -1), ( -1), 625982990, 986191931, ( -1), 561798350, 940935439, ( -1), ( -1), ( -1), ( -1), 187175722, 533900160, 652544968, 954046036, 905717319, 201635818, 621990764, 337025683, ( -1), 997905076, 895631626, ( -1), ( -1), 902994915, 120944655, 379068983, 720985273, 558950430, 661109558, ( -1), ( -1), 217692359, ( -1), 900256698, 69905888, ( -1), 11537081, 261265435, 9600264, 31728421, 11011124, 553006002, 196392787, ( -1), 927191413, 292897432, ( -1), 435591003, 773604430, ( -1), 880466718, 37903729, ( -1), 633336484, 190317941, 93877627, ( -1), 791681868, 463944803, 692257190, 589957761, ( -1), 773731179, 154241333, 771487518, 491627876, ( -1), 782842169, 281258490, 904753605, ( -1), ( -1), 219609925, 66953602, 137315255, 450346435, 703443553, 139520353, 932253014, 892304045, 901749781, 478217568, 414859386, 39976967, 472870161, ( -1), 868254652, 112239590, 583777287, 837571479, 465575835, 839616203, 609043809, 157986266, ( -1), 62434081, 719076153, 350989271, 774640453, 471200579, 558855354, 462050704, 934182071, ( -1), 168414043, ( -1), 517269746, ( -1), ( -1), 37698812, ( -1), 226648902, 560389785, 20730726, ( -1), 781393399, 497523711, 969739423, 388037662, 324499732, 140498308, 841434185, 502905162, 969002053, ( -1), 245151024, 24628557, 994668384, 368242441, 667442853, ( -1), 237196677, 340407342, 117616927, 372899577, 493173392, 459676334, 806511126, ( -1), ( -1), 744748165, ( -1), 374823788, ( -1), 860449662, 564054253, 468944449, 643693839, ( -1), 162561533, ( -1), 892590688, ( -1), 201217932, 178391072, ( -1), 687356100, 137364590, 224207418, 220627236, 961750986, 890522463, 301589578, 760099370, 106021857, 366853958, 697142420, 501284123, 860563764, 431465637, 126360364, 350819602, 658055041, 757532784, 261187129, 374705883, 98336587, 185930184, 920333084, 648296040, ( -1), ( -1), ( -1), 896499336, 776020492, 51478585, ( -1), 439368192, 91313789, ( -1), 257496190, 99828903, ( -1), 429299803, 776622409, ( -1), ( -1), ( -1), 858365058, ( -1), 252746133, 457603678, 942021662, 816902370, ( -1), ( -1), ( -1), ( -1), ( -1), 634981823, 860288753, 602406349, 647543021, 848406481, ( -1), 103017530, 320136682, 429310722, ( -1), 629795649, 423980764, 875012066, 501517236, ( -1), 495224369, 399444247, 598263660, 347985241, 321741564, 85783594, 294296650, 72696711, 50418894, ( -1), 616951136, 901618461, 665117179, ( -1), 581989543, ( -1), 97854701, 329536051, ( -1), 80670154, ( -1), 15360697, 902615193, 840091390, 334492488, ( -1), 135077038, 956613786, 271383421, 899034474, 380897595, 911866576, 406051891, ( -1), ( -1), 405795113, 424373853, 213589957, 954664740, ( -1), 368625114, ( -1), 471964567, ( -1), 721035714, ( -1), 910029411, ( -1), ( -1), ( -1), 55948376, ( -1), 671958698, 795041456, ( -1), ( -1), ( -1), 900628261, ( -1), 765322604, ( -1), 15435960, ( -1), ( -1), 629664115, 958324951, 547454249, 882235854, 664647189, ( -1), 346815293, ( -1), 895627157, ( -1), 189591336, ( -1), 281674385, ( -1), 289931031, 425851138, 824924332, 181106124, 648466468, 855020540, ( -1), 642792851, 656904690, 399640194, 396718844, 173773998, 46538455, 254513423, 232666542, 41033531, 397840977, 374621412, ( -1), 309923245, 562561126, ( -1), 920555831, 993819995, ( -1), 844837163, 838007865, 125270740, 501044267, 143132077, ( -1), 741901018, 636330561, ( -1), 337910781, 857529123, 589997771, 366622060, 941512581, 294498457, ( -1), 228437248, 110622196, ( -1), 793891191, ( -1), 87526755, 685705170, ( -1), 40570820, 406013244, 653771762, 184974114, 184514938, 181484529, 991106888, 390947957, 908283312, 713440518, ( -1), ( -1), ( -1), 31333684, 8393506, 470229750, 885122174, ( -1), 349079919, 275590926, 931046610, 820166229, ( -1), 829229416, ( -1), 615395936, 475196273, 313504818, ( -1), 256811596, 119953787, 558277472, 703434453, ( -1), ( -1), 558501159, 807324497, 899969190, 108147163, 237683792, 317904253, ( -1), 651741631, 692931735, 840494674, 85947232, 401565186, 257534634, 171066778, 417616332, 54872088, ( -1), 938199136, ( -1), 18512952, ( -1), ( -1), 275911739, ( -1), ( -1), ( -1), 33254324, 565469661, ( -1), 614899491, 222384379, ( -1), ( -1), 872829788, 341644254, 549659252, ( -1), 585868018, 17036584, 245469648, 274900312, 934240474, ( -1), 474761319, 322954866, 452140604, 460046324, ( -1), ( -1), 420659311, ( -1), 572137350, 300499938, 765494435, ( -1), 893637630, 733339471, ( -1), 781241406, ( -1), ( -1), ( -1), ( -1), 958265370, 503000327, 828723821, 302400774, 425398873, 908627353, 203323774, ( -1), ( -1), 139492654, 757267306, 647865941, ( -1), ( -1), 125522370, 773869631, 749458554, ( -1), ( -1), 979814536, 518077186, ( -1), 539851797, ( -1), 509601996, 787672937, ( -1), 333176222, 136238478, ( -1), 594582843, 454049768, 211026034, 389149714, 522638489, ( -1), 790786304, 74065933, 372301581, 532102170, ( -1), ( -1), 171556172, ( -1), 672655817, ( -1), 77712156, 946549451, ( -1), ( -1), ( -1), ( -1), ( -1), 828463834, ( -1), ( -1), 545165752, 652931582, ( -1), 880235214, ( -1), 438475291, 405814479, 683114622, ( -1), 869910730, 958527909, ( -1), ( -1), 339982225, ( -1), 694993051, 282232265, 470073358, 433111440, ( -1), 768242453, 80869756, 513584375, ( -1), 929468944, ( -1), 623722491, 67932446, 466099495, ( -1), 168813453, 605282534, ( -1), 397273535, 343953468, 566954923, 225180825, 340255066, 116403954, 857199065, 738728141, 205420189, 767607189, 64493985, 240025439, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 740969059, 357490213, 680978092, 422439246, 513147592, 512244152, ( -1), 900953256, 546833622, 595290894, 82592421, 989389017, ( -1), 597919745, 404321873, 510683508, 402483301, 393423259, ( -1), ( -1), 774627276, 951931259, 336126167, 586761571, 643225082, ( -1), 507904716, ( -1), 50650812, 781355534, 333366687, 970375558, 9767391, 113505247, 861947476, 227800449, 513720916, ( -1), 512389618, 68584438, 800507320, 360437803, 976312936, 96694759, 956760337, 141395996, 18504942, ( -1), 561645517, ( -1), ( -1), 220042681, 124093832, ( -1), 862307055, ( -1), 12139420, 198256469, ( -1), ( -1), ( -1), 349580610, 35255104, 644125981, 370788485, ( -1), 353174955, 586670942, 756857187, 902934729, 175789327, ( -1), 431220961, 950231416, 654746200, 606446718, 939428771, 925488651, ( -1), 633372669, 268156616, 116217454, ( -1), ( -1), ( -1), 264830219, 432487424, 394174904, ( -1), 169078373, 102185439, 984687690, ( -1), 113817831, 464815749, 465112891, ( -1), 417054299, ( -1), 387119832, 707452388, 958295368, 314672370, ( -1), 704651940, 165547237, ( -1), ( -1), ( -1), 362432138, ( -1), 150097258, ( -1), 253100801, 330455267, 476415493, 985276618, 536548634, ( -1), 271711031, ( -1), 707098173, 830628702, 264967390, 20426719, 558396452, 351423016, ( -1), ( -1), ( -1), 954653420, 672485490, ( -1), 467302976, ( -1), 365087151, ( -1), 859103201, 930431380, 104565783, 665668485, 148596494, 337245300, 328496591, 889653, 18026234, ( -1), 644356727, 790044556, 166421933, 247116761, ( -1), ( -1), 63910059, 837319421, 813043575, ( -1), ( -1), 122273038, ( -1), 249182238, 782449131, ( -1), 701349602, ( -1), 855520700, ( -1), 67626530, ( -1), 697716845, ( -1), ( -1), 330464466, 157486740, 718706183, 332881823, 195784285, ( -1), 697949682, ( -1), 763761462, 604898833, ( -1), 14381875, ( -1), 809531048, 434528990, 79849328, 867274373, 382066455, ( -1), 243607755, ( -1), ( -1), 721410237, 842811368, 102723409, 733712791, 162516181, 469749105, 430323039, 397526379, 897651544, 787174812, 71228886, ( -1), 847810869, 405700376, 746884206, 189807925, 450593296, ( -1), 735932492, 740476702, ( -1), ( -1), 164347772, ( -1), 973634248, ( -1), 585859668, 913707280, ( -1), 154823914, 758270502, 647642088, 892984019, 275064562, 282656476, 95509680, ( -1), 255421675, 730353418, ( -1), 331196918, 505575985, 814832154, 630245138, 146126431, 206808751, 829595613, 845497580, 351723820, ( -1), 926535336, 72908889, 737997026, 895794944, ( -1), ( -1), 592023527, 981681628, 999170494, 567493399, ( -1), 632734831, ( -1), 444693756, ( -1), ( -1), ( -1), 705638094, ( -1), 315690622, 565431031, 724271473, 823354905, 442592657, 687655007, 280433418, ( -1), 734366561, ( -1), 743792473, 877826359, 73455831, 165005863, 58812256, 709296028, ( -1), 865658728, 479927554, 740965211, 116935280, 608008639, ( -1), ( -1), 448288804, 821233659, ( -1), 809992440, ( -1), ( -1), 858340961, 147116087, 783718605, 268099790, 340599106, 127325439, 635381379, ( -1), 944773437, 638380307, 819725755, 99457080, 579532073, 521261935, ( -1), 165147945, 177611512, ( -1), ( -1), 170363612, 985844990, 46429557, 516171471, 378289446, 943671438, 468856326, 502349403, ( -1), 556285678, ( -1), 255342956, ( -1), ( -1), ( -1), 290146477, ( -1), 693790432, 10561559, 814103478, 644211672, 552492417, ( -1), 747973588, ( -1), ( -1), 525515516, 177885503, 913444888, ( -1), 349630084, 671656430, ( -1), 405080713, ( -1), 839220394, ( -1), 86702637, ( -1), 370484746, 53601006, 665114279, ( -1), 748091015, ( -1), 12147084, 250142485, 899888311, 88122177, 627347926, ( -1), 387919807, ( -1), 193524600, ( -1), 309833172, ( -1), 965718276, 69315127, 237628670, ( -1), 601114547, 449327942, 584055241, ( -1), ( -1), 574365710, ( -1), ( -1), 304130412, 330286503, 258680433, 472242942, 423218916, 573838448, ( -1), 791172658, 561853876, 135003059, ( -1), ( -1), ( -1), ( -1), 56768944, ( -1), 124779256, 725803483, 493260232, 131113485, ( -1), 371743169, ( -1), 913076725, 410182785, ( -1), ( -1), 676308427, 777589507, ( -1), 947049002, 109609853, ( -1), ( -1), 47265214, 795191600, 510705612, ( -1), 237560951, 587964805, 227147837, 442177084, 920501776, 207394320, 73864002, ( -1), 360734520, 492483214, 805158020, 205211390, 920801044, 371119634, 372903153, 150545506, 455770364, 922637921, ( -1), 185938159, 151297544, ( -1), 264591920, 227150630, 613480586, 586274351, ( -1), 130089681, 882101451, 809488966, 99958827, 63419045, 426053714, ( -1), 551474610, 512668352, 806472749, ( -1), 276663804, 905521428, ( -1), 978566751, 188376603, ( -1), ( -1), 960681925, 323471191, 617761549, 787722668, 818739676, 501534873, 215526730, 323554011, 374384564, 714649289, 755027099, 585497695, 768700733, ( -1), 498832361, 641244689, ( -1), 519653839, ( -1), 621717290, 367736564, 404912107, 575777792, 170095460, 479358275, ( -1), 759346029, ( -1), 753938323, 994744210, ( -1), 322926333, 470962739, ( -1), 164963943, 12207335, 545355011, 981243455, 747994410, 374813674, 77882329, 572070361, ( -1), 64032103, 520082363, ( -1), 846501573, ( -1), ( -1), 464812209, 270726840, 635356664, 965382370, ( -1), 754017192, ( -1), 270219426, 732893469, 785816941, ( -1), 134787929, 838422660, 564382736, 109788768, 235716583, 898399964, 741380445, 258245801, ( -1), 803192780, 675231590, 831646148, 69239862, 31687335, 504118767, 345752967, ( -1), ( -1), ( -1), ( -1), 737684910, 334784705, ( -1), ( -1), 961252159, 152921404, ( -1), 730770962, 277055394, ( -1), ( -1), ( -1), 415261347, ( -1), 139679426, 46964685, ( -1), 49227266, ( -1), 191631019, 323258855, 315459571, 858128412, 771142389, ( -1), 599234837, 930422348, 712662191, 566895722, 701675131, 821536004, 314652825, 703425914, 600090529, ( -1), 901306479, 588927643, ( -1), 681746693, ( -1), 139979009, 837317899, ( -1), 58835545, 204168224, 416231226, 737428765, 791613120, 371853340, ( -1), 551318189, 869475599, 589556469, 364977765, ( -1), 598715363, 114510342, 298829697, 718222875, ( -1), 36246069, 951992598, 539685956, 388223773, ( -1), 777335489, 401274840, 583508058, ( -1), 994851558, ( -1), 205177218, 978599468, ( -1), ( -1), 876843112, ( -1), ( -1), 4580649, ( -1), ( -1), ( -1), 303684754, ( -1), ( -1), 691813808, 961315555, 466655037, 765877288, 926638821, 805511353, 961344874, ( -1), ( -1), 851163490, 192557168, 656512897, 376672484, ( -1), ( -1), 546309450, 743796656, 284233393, ( -1), 707349214, 285040997, 557394236, 68050543, 664550193, 102886068, 855793416, 581618954, 788419838, 297244051, ( -1), ( -1), 144494381, 368772835, ( -1), 390487993, 741700450, ( -1), ( -1), 403567159, 811757623, ( -1), 170293548, 319663379, 572708561, 18843410, ( -1), 35015359, 961893096, 959073532, ( -1), 315149388, 815970750, 629152403, 6925706, 990970554, 211205972, 681691515, ( -1), 257753876, 547987256, ( -1), 169866124, 788128862, 641566438, 379839858, 558827233, 181920557, 320152717, ( -1), 174449272, ( -1), 696642099, 940352867, 911868889, ( -1), ( -1), 72366205, 349587766, 484564201, 416359507, 945160910, 445079975, 563798992, 774947543, 112611128, ( -1), 944853417, 836921612, 105383444, ( -1), ( -1), 26144217, 353431079, ( -1), 33125179, 822069766, ( -1), 451812902, ( -1), 984736887, 216824683, 80963650, 312358281, 789693239, 667863417, ( -1), 565102176, 2679235, ( -1), 406898227, 378737535, ( -1), 751768527, ( -1), ( -1), 719483313, ( -1), 63952718, ( -1), ( -1), 688945737, 528504203, ( -1), 982955054, ( -1), 179523920, ( -1), 288474463, 942932913, ( -1), ( -1), 830276232, 182674004, 579727714, ( -1), 575409191, 917073147, ( -1), 821377909, 389370348, 68391314, 534648375, ( -1), ( -1), 512804334, 484672547, 538472192, 918683766, 535331553, ( -1), 586803183, 846112967, 868044807, 816330753, ( -1), 876980097, ( -1), 414301073, 638338685, 409951959, ( -1), 507982149, 768862868, 618774389, 680858805, 508851719, ( -1), 76104663, 810702568, 863911947, 202197946, 557920085, 819202799, 932284119, 973415882, 220095454, 426739784, 458335508, 189229567, 303010233, 51125452, ( -1), ( -1), 411302555, 266104213, 168240991, 527121409, 767472759, 460260553, 713298501, 594215920, 533352904, 554443595, 58982417, 52732713, 248244182, 194920670, ( -1), 448936064, 812161007, 187347268, 489977214, ( -1), 851349540, ( -1), ( -1), 12613858, 411681027, 646998750, 789082566, 950543791, 303983776, 353494157, ( -1), ( -1), 159624951, ( -1), 781106166, 177985706, 805472360, 849629621, 751674340, ( -1), ( -1), ( -1), ( -1), 370054800, 932737687, ( -1), 708895228, 779648144, 958524723, 540118518, 21462077, ( -1), 241461261, ( -1), 221895267, ( -1), 569612739, ( -1), ( -1), 913017113, 786959250, 448342850, ( -1), 185245967, ( -1), ( -1), 749960192, 316978135, ( -1), 471938405, ( -1), 151350888, 103161310, 981225508, 923173503, ( -1), ( -1), 292035605, 430811614, 864575567, 88520493, ( -1), 891950122, 12620576, 196944247, ( -1), 473214944, 275429188, 298659447, 64792340, ( -1), 72053245, 922828594, ( -1), 709467961, 291993030, 15109046, 801738903, ( -1), ( -1), 84987372, 439540991, 267017348, 755432680, ( -1), 752446467, ( -1), 13890123, 173025672, 837787624, 301509653, 53458552, 796428685, 834382891, 400925394, 43634944, ( -1), ( -1), 133615072, 524300426, 283868516, 56209390, 919408602, ( -1), 598897309, 908875562, 825665157, ( -1), 476292673, 114314729, ( -1), 415832011, ( -1), 939544226, 701562358, 541998887, 828113487, 767013515, ( -1), 71033119, 976511178, 191964807, ( -1), 171153294, 506740443, ( -1), 320287324, 956226118, ( -1), 387861064, 324411528, 232513285, ( -1), 531947657, 772633536, 518972579, 902799900, 443045537, 277677229, 583822889, 140075571, ( -1), 878358317, ( -1), ( -1), ( -1), 313846921, 516691962, 335694490, 761816459, 306591946, 591301167, 423152959, 680077404, 13717524, 953368958, 882173599, 339804046, 968761273, 681242921, ( -1), 651285967, 263079722, 888983771, 579586650, 58236101, ( -1), 388591166, 202645388, 846128330, 205583146, 602081505, 475913645, 425965876, 878449197, 290181920, ( -1), ( -1), 568424110, 481756774, ( -1), ( -1), 917117505, 889486575, ( -1), 659292319, ( -1), 700862977, 223070583, 911340920, 262798628, 710471458, 752616667, ( -1), 425608484, 162710996, 132041596, ( -1), 376418179, 989743769, 521031367, 697354353, 649924060, ( -1), ( -1), 318203176, 418247255, 805739714, 473915991, 261174491, 690277343, 897664250, 503904440, 364957455, ( -1), 151274217, 172511582, 494356565, 817278626, 641025074, ( -1), 934275464, 700715812, 511827646, ( -1), 823232388, 794319899, 943332187, ( -1), 404756538, 441866114, ( -1), ( -1), 67876733, ( -1), 807686519, 188587017, 883087620, 532388096, 983091310, 292606330, ( -1), 896635297, ( -1), ( -1), 985969304, ( -1), 727444916, 538185159, ( -1), 997267857, ( -1), 808460508, ( -1), 929189332, 298027567, 444904870, 667680121, 654504208, 794783247, 906945461, ( -1), 706784254, 688323159, 308008546, 466016692, ( -1), 414225611, ( -1), 391572387, ( -1), 979990175, ( -1), ( -1), 248943309, ( -1), ( -1), 552431021, 92722676, 492262541, 41543483, ( -1), 526120563, 810778218, 633830251, 158322222, ( -1), 437804946, ( -1), 109731689, 817060187, 175832685, 591135341, ( -1), ( -1), ( -1), ( -1), 778695780, 954569693, ( -1), 965224442, 566624390, 873146020, 990486569, ( -1), 482529513, 9916987, 433584293, 475640581, 639301030, 356645169, 159675998, ( -1), 14915353, ( -1), 737206929, 246025324, 783733046, ( -1), ( -1), ( -1), 607499064, 525557050, 427814440, 629377646, ( -1), 689035149, 780742914, 584529673, ( -1), 88220603, ( -1), 293092833, ( -1), 312683726, ( -1), 748131447, 231015865, 763801256, 661158803, 25201724, 204711434, 575049718, ( -1), 496060859, 965055742, 865009074, 321456980, 784377252, 511762538, 330561768, ( -1), 150468191, ( -1), 203608734, ( -1), 427818793, ( -1), ( -1), ( -1), 226363369, 921737886, ( -1), 755015459, ( -1), ( -1), 645930008, 50717292, 516799173, ( -1), 327419268, ( -1), ( -1), 257044579, 243456481, ( -1), ( -1), ( -1), 356621401, 776709497, 701816129, 359817011, 795552196, ( -1), 825873123, 328694528, 843620798, 226131094, 228846068, 615847411, 35079162, ( -1), 427935976, 439731478, 132232004, 688721361, 33561552, ( -1), 999898006, ( -1), 928395227, ( -1), ( -1), ( -1), 368945487, 418548204, 419475861, 797132368, 687912569, 174867216, 613966462, 311562128, 803623405, 586908026, 455327162, ( -1), ( -1), 137696594, 929641931, 729006265, 661208927, ( -1), 226432277, 163334839, 245686422, 240052903, 758525009, ( -1), ( -1), 829050046, 265991958, ( -1), 449826389, 92372732, 689098272, 652409088, 708968111, 897296312, 605749870, 568729084, 726330255, ( -1), 6723822, 361002106, 210935167, ( -1), 933903165, 721482799, 377069665, ( -1), 986620310, ( -1), 569824645, 533405265, 223075773, 112403493, 464913458, ( -1), 456630807, 12425790, ( -1), 876293199, 724748634, 180486862, ( -1), ( -1), 716901129, ( -1), 705550966, 779134413, 523220679, 842896114, ( -1), 874921246, 754238032, 456474443, 469130487, 185041270, 604475993, 969493674, ( -1), 99664795, 828050962, 349980813, 436313007, ( -1), 921031264, 691694055, 674265947, 589067753, 395432386, 349126025, 153542369, 943723605, 12146725, 710105368, 213474842, 832219216, 121873934, 440987540, 841265910, ( -1), ( -1), ( -1), 853224051, 673980866, 893003031, ( -1), 591584999, 116609369, 26369342, ( -1), 461334350, 416189706, 35511165, 849835417, 327115956, 295973473, 826524941, 215498403, 422646596, 426042208, ( -1), 937414401, 807664238, 169764244, 827390941, 542957025, ( -1), ( -1), 683374984, 101677994, ( -1), 803641510, ( -1), 644915298, ( -1), 329306489, 273648320, ( -1), 628862177, 964521298, 686376444, ( -1), ( -1), 898179450, ( -1), 526009983, ( -1), ( -1), 320233626, 39111715, 309000184, ( -1), ( -1), 260861084, 186442953, ( -1), 264204072, ( -1), 278824606, ( -1), 814891739, 760301586, 244281394, 236659219, 173033805, ( -1), ( -1), ( -1), ( -1), 443737439, 869852491, ( -1), 844588138, ( -1), ( -1), ( -1), ( -1), 512613948, ( -1), ( -1), 337292860, ( -1), 924935621, ( -1), ( -1), 684992512, 993578045, 486912861, 199708390, 334955320, ( -1), ( -1), ( -1), 66082769, 749589984, ( -1), 332482557, 895976378, 14595779, 845796232, ( -1), 893238714, 224971160, ( -1), ( -1), 989304592, 29863934, 728385786, 650664371, ( -1), ( -1), ( -1), ( -1), 511766990, 534903326, 376290845, 354967632, ( -1), 968151689, 352464764, 494385931, 296940582, ( -1), 603744843, 245946423, 209595517, 926122440, ( -1), 606360893, 873331669, 749005867, 736550359, 75589531, ( -1), 820556661, ( -1), 691096820, 292103389, ( -1), 500052395, ( -1), 727328158, 316138749, 286569547, 696291391, 495654913, ( -1), 644055849, 195976478, 978192613, ( -1), 902561843, ( -1), 513537279, 550962755, ( -1), 669548480, 881761780, ( -1), 282350525, 187269721, ( -1), ( -1), 980550802, 153735427, 561854670, 603156841, ( -1), 626202, 697540583, 878306569, ( -1), 390375754, ( -1), ( -1), 365145238, ( -1), 993796846, 240980126, ( -1), 74718422, 898613374, ( -1), ( -1), 456116658, 621167093, 19820743, 263342982, 78998295, 263073878, 427796820, ( -1), 369699784, 626037178, ( -1), 66864766, 751266744, ( -1), ( -1), 459382902, 334436772, ( -1), 34140221, 574070926, ( -1), ( -1), 753290170, 530119159, ( -1), 803970936, 150909518, 432276089, 732747700, ( -1), 432468490, ( -1), ( -1), ( -1), 673126790, ( -1), 72861581, 32281154, 845329689, 424028122, 914403259, 695594598, 409075338, 237115773, 34898196, 565351777, 482830093, 443272041, ( -1), ( -1), 424706678, 222526927, 729789026, 241207070, ( -1), 796464963, 948095392, ( -1), 88392243, ( -1), ( -1), ( -1), 636996758, 976003069, ( -1), ( -1), 387426821, 615101870, 625692879, 862129187, 466734916, 425490910, 703985498, 462762102, 35057851, 650335653, 362183385, 881240039, 784593187, ( -1), 564638694, 460800118, 451337226, 795453362, 274586907, 724517984, 522752637, ( -1), 410207630, 452325342, 342600088, ( -1), 726839213, 434312267, 269322629, 709969677, 29431528, 793050471, ( -1), ( -1), 513443024, 61978179, 122303840, 269414481, 745732544, 710952422, 519094380, 637918867, 697425429, ( -1), ( -1), 252906517, 602526400, 802490613, 511831290, 738512447, ( -1), 856930257, 918071526, ( -1), 491070962, 891717290, 762771692, 716432629, ( -1), 521417246, 759685617, 319774880, 935532321, 175219718, 123420694, 758203985, ( -1), 835496208, 462548870, ( -1), 616230308, 518064167, 552006852, 972139500, 258871739, 775866656, ( -1), 442982771, ( -1), ( -1), 396150838, 661404308, ( -1), 824086907, 762205176, 265871035, ( -1), 854016829, ( -1), ( -1), 684720570, ( -1), 47417999, 962296037, 350498201, 143495395, 558797848, ( -1), 479890022, 728871198, 415931576, 973043223, 387688770, 993190412, 291013844, 553872696, 250293862, 362487939, ( -1), 661817361, ( -1), 66961188, ( -1), 733153063, 410783849, 621816881, 209711704, 464037264, ( -1), 615057084, 481423768, 618323889, ( -1), 515058813, 922900304, 927322969, ( -1), ( -1), 139685430, 260923050, 394195293, 896460080, 446335428, 884822791, 914055802, 390177059, 552344980, 877743993, ( -1), ( -1), ( -1), 221182087, 527222004, 303852886, 576123608, 314138149, 57380647, 27502712, 576793011, ( -1), 824474878, 780051073, ( -1), 781548236, ( -1), 50720088, 63728106, ( -1), 495064135, 446115273, ( -1), 190558545, ( -1), 146590757, 401969010, 923679207, 646700956, 81552187, 685236080, ( -1), ( -1), 438393525, 68596797, 751795188, 882625436, 459910030, 181368416, ( -1), 580605091, 454897461, 281920229, 885915935, ( -1), 478269743, 117526308, 853089270, 641990859, ( -1), ( -1), 756714046, 526040934, 21467967, 891041629, ( -1), 273961647, 66329771, 809017990, ( -1), 857291123, 91148850, 901084647, 891048727, 841259793, ( -1), 265029047, ( -1), 721836575, 633202586, ( -1), 198828532, ( -1), 381699609, 878020947, 153292637, 179816828, 386593931, ( -1), 360795012, 242969916, 729865678, 596953386, 214734901, 22595417, 799507173, 429525723, ( -1), 791265238, ( -1), ( -1), 353225195, 822148335, 64213705, 139970970, ( -1), ( -1), 217471824, 563427830, ( -1), 58996004, 790294712, ( -1), ( -1), ( -1), 28197193, 969216489, ( -1), 720336768, 971267163, 978780387, 369117934, 35139368, 730336724, 222999734, 423795834, 666150019, 911461167, 239878111, 449111781, 618284805, 887822334, ( -1), 966990682, 240829990, ( -1), 871746507, ( -1), ( -1), ( -1), 138540032, 250213138, ( -1), ( -1), 782341877, ( -1), ( -1), 285770868, 434065079, 421277848, 956893026, 255472344, ( -1), ( -1), 945935311, 104705656, 535773133, 401991610, 218280141, 586895090, 388295413, 466573168, 423868595, ( -1), 892737772, 96264294, 678461296, 390123109, 754891842, 69231781, 312468838, 821877596, 80102092, 688462410, 431122117, 953192117, 720885315, 208914565, 31655486, ( -1), 797545604, 283088341, 896552540, ( -1), 909629609, 424054513, 593070187, 667886527, 983783009, 813109724, 705492936, 469018326, ( -1), 80903325, 953059442, 648564909, 344935298, ( -1), ( -1), 469510889, 195169084, 655719713, 24996282, 829949804, 456356990, ( -1), 554319017, ( -1), 682407804, 462443906, 722622899, 162278002, 966567438, 143383154, 964831524, ( -1), 291924228, ( -1), 245925310, ( -1), 671216177, 121049300, 702182251, 756719169, 464022155, 445061561, ( -1), ( -1), ( -1), 910270626, ( -1), 822718989, 621403415, 775384126, 26507106, ( -1), 955411282, 600125237, 558311648, 75090617, 303231297, 415496724, 804325815, 296087625, 225963554, 622540298, 548497794, ( -1), ( -1), 978686829, ( -1), 187623499, 710301853, 573160269, ( -1), 558814201, 870719651, ( -1), 739585275, 276464605, 434487032, 962302130, ( -1), 802361546, 433908484, ( -1), 555257567, 720756788, 103039546, 369739710, ( -1), 17530420, 114949071, 758068481, 633581360, 936554442, 847616086, ( -1), 135606350, 546542386, 60636448, 639151118, 15307924, ( -1), ( -1), 710324237, 678713165, 381480451, 554034763, ( -1), 947745270, ( -1), ( -1), 728217957, 816061694, 256200464, ( -1), 539323402, 412388857, 152935505, 46151353, 872401426, ( -1), 927623532, 528833075, 483844989, 439596339, ( -1), 481862890, 954773003, 310967305, 529763845, 64625841, ( -1), ( -1), 849883814, ( -1), ( -1), 199345513, ( -1), 393847594, 535338972, 608278058, ( -1), 471726209, 576354040, 441809720, 206210228, ( -1), ( -1), 369690430, 544145404, 501459118, 806008089, ( -1), 880142696, 505336524, ( -1), 491973988, ( -1), 598172277, ( -1), ( -1), 553302945, ( -1), ( -1), ( -1), 954838418, 282241073, 237046505, 602704853, 439655335, ( -1), ( -1), 498948269, 608065963, 607525053, 523854014, 163486107, 182797769, 645100304, 195652312, 230989657, 741670945, 197520635, 241541208, ( -1), 177655709, 923264472, 361173725, 149331481, 254411116, ( -1), 415292636, 271737890, ( -1), 730487803, 10851741, ( -1), ( -1), ( -1), 706415711, 661139220, ( -1), ( -1), ( -1), 347248082, 682044752, ( -1), 214725045, 761102224, 887655763, ( -1), 497577524, 774528245, 384928081, 345465622, ( -1), ( -1), 60464670, 416482676, 474697951, ( -1), 240876017, 815809379, 587698720, 599629596, ( -1), 742463608, 591579095, 276694486, 431770300, ( -1), ( -1), 383701831, 407402573, ( -1), ( -1), 9259802, 499542664, 4368291, 959913486, 619814191, 281289379, 372495058, 64956504, 340633962, 302054672, 574539469, 384776663, 702228319, 747621250, 753915979, 195754535, ( -1), ( -1), 861838556, 377892582, 437109016, 999057696, 613177880, 46431928, 183397581, 394770605, 632879195, 292757261, 471206420, 233206527, 182741513, 145308504, ( -1), ( -1), 183262226, 399437642, 374410749, 261208286, 973935289, 617346386, ( -1), 168924977, 546492114, 265194485, ( -1), 740822710, ( -1), 102743663, 20209030, 24502209, 288284011, 976810837, 363625078, 437375941, 119305609, 659838351, 634490436, ( -1), 929177964, ( -1), 954914671, 909919445, 278741355, ( -1), 707220203, ( -1), 504350654, 820135076, 816087417, 699947994, ( -1), 287726652, ( -1), 432385189, 847622926, 301485238, ( -1), ( -1), 770311913, 785630424, 757059713, ( -1), 937091919, 235268977, 445271291, 203891469, 395699887, 399750528, ( -1), 939570894, 108511299, ( -1), 317911326, 356492422, ( -1), ( -1), 66816092, 135436534, 164866084, 293970532, 706369523, 648020913, 580129234, 71608441, 588845409, 612919718, ( -1), 372857750, ( -1), 723307883, 725217633, ( -1), 98241237, 439958060, ( -1), 839921711, 1374485, 235357016, 476600661, 528878130, ( -1), 40543792, 223299081, 742044422, 178138228, ( -1), ( -1), 749952536, 393135446, 303915261, 607519932, 623619428, ( -1), 596147356, 466742951, 996897802, 9870925, 78307263, ( -1), ( -1), ( -1), 501639544, 352039298, 135205328, 13518813, ( -1), ( -1), ( -1), ( -1), 783977368, ( -1), ( -1), ( -1), 428311373, 382273161, 547221850, ( -1), ( -1), 370525895, ( -1), ( -1), 540267159, 725096556, 256978861, 246015689, 992824421, 365188093, 97729325, ( -1), 136122827, 920273181, 830688230, ( -1), 383561489, 812609563, 635348210, 929680005, 79841578, ( -1), 267578608, 86519851, 166666004, 349398904, 875453394, 576938742, 775610201, 325338307, 81046438, 720095248, 477672282, 292503761, 788341037, 604790831, ( -1), ( -1), 591829779, 535179850, ( -1), 331777125, ( -1), 720933302, ( -1), 333509745, 599935293, 501419117, 119833568, ( -1), 441714809, 637653247, 246333406, 183005854, 279709242, 145646378, 628371634, 160939105, 696445066, ( -1), 204975651, ( -1), 93861109, ( -1), 532697282, ( -1), 148670470, 908671432, ( -1), ( -1), 929105273, 290599444, ( -1), 179485301, 810951110, 302824398, 63199100, 570437034, 452707331, 24246173, 585597430, 107638244, 640196948, 929343670, ( -1), 350107874, 753316867, 441586460, ( -1), ( -1), ( -1), 172492160, ( -1), 755253457, 765280078, 868374270, 301761825, 796240139, 199601223, 891290819, 906315294, ( -1), 681091829, 276271314, 510473430, 816963967, ( -1), 80292691, ( -1), ( -1), 935736897, 287461314, 759701465, ( -1), ( -1), 547102372, 528828942, 439575417, ( -1), 638624583, ( -1), 595076736, ( -1), 937758409, 526436760, 880841430, 260159028, 825898012, 592933485, ( -1), 609318958, ( -1), 997211022, ( -1), 136553222, 280236548, 504622901, 272803906, 669826727, ( -1), 353129961, ( -1), ( -1), 752036003, ( -1), 137773098, 779596726, 581620714, 38034677, 769158106, 60242055, 203553443, 344812406, 821838866, 368214673, 292468318, 850663975, 838022052, 902703124, 180034441, ( -1), 657860865, 971651424, ( -1), 367895166, 82074877, 465443239, 419642551, 258095072, 942864252, 514988292, 888817228, 164066464, 714387703, 618519138, 775612215, 67664574, ( -1), 757084222, 534105978, ( -1), ( -1), 483844291, 645546991, ( -1), 359810929, 836927782, 808919506, 303804669, ( -1), 858778351, 732076280, ( -1), ( -1), 759615634, 630514180, 949339024, 593713202, 73453421, 960289123, 974522492, 397889095, ( -1), 372804748, 465793639, ( -1), 31772129, 476750014, 554316719, 524907600, 118897149, ( -1), 823707886, ( -1), 956988978, 939733530, ( -1), 260818383, 820513580, 855489656, 177438827, 381744709, 363132543, ( -1), 167246516, 223090159, ( -1), 90301434, 181867626, 857951957, ( -1), 65952872, ( -1), ( -1), 546865480, 366302085, 97472784, 421681915, 167977751, ( -1), ( -1), ( -1), 933864047, 670834678, 389431648, 358927094, ( -1), 573197555, ( -1), 513215812, 363144369, 672210000, ( -1), 244661180, 439689655, 52941512, ( -1), 846087717, 931102777, 568993456, 19473803, ( -1), 929266332, 110943627, 107468816, 525566691, 785196532, 36244517, 446976872, ( -1), 499991532, 700527028, 605285595, 153787258, 709944404, 558405483, 32391546, ( -1), 684442513, 553204756, 988247053, 108809271, 104496450, 234896871, ( -1), 407661092, 595583913, ( -1), ( -1), 825863571, 539508606, 977599588, 666778797, 834196421, ( -1), 660722194, 536523246, 437735350, 988918936, ( -1), ( -1), 824018659, ( -1), ( -1), ( -1), 261801832, 552631243, 509545234, ( -1), ( -1), ( -1), ( -1), 683893853, ( -1), ( -1), ( -1), 34210973, ( -1), 374100925, 640729998, 759176453, ( -1), 644137723, 580393488, 266971804, 844680449, 333250446, ( -1), ( -1), 892103048, 409488377, ( -1), 73557382, 857352134, ( -1), 16934492, ( -1), ( -1), 827196779, 127601340, 854788452, 607718195, ( -1), 525419921, 646508120, 841315088, ( -1), 803180790, 7229514, 66795386, ( -1), ( -1), 87212590, ( -1), 995148427, 323065261, 218963367, 950458063, 39974672, 691311088, ( -1), 859992453, 163328636, 609223384, 620800523, 82951460, ( -1), ( -1), ( -1), 619801115, 769706620, 42667073, 122227996, ( -1), 917453609, ( -1), ( -1), 48467601, ( -1), ( -1), 234211471, 56156511, 688359446, ( -1), 821579747, ( -1), 358455020, 863356231, 800715047, ( -1), 234246317, 346843681, 200186068, 842309770, 497327835, 129579314, 907633693, ( -1), 176354943, 688071852, 952783612, ( -1), 539508723, ( -1), 320093381, 193044568, ( -1), ( -1), 52534603, ( -1), 362333949, 325834511, ( -1), ( -1), 145251847, 50129190, 600680532, 303444790, 803529878, 521505992, 403324397, 148959715, 246706267, 760492389, 823238231, ( -1), ( -1), 870329613, 747571261, 708326488, 704433266, 355013187, 509654982, 715200657, 927657456, 753587337, 231672868, 86266696, ( -1), 721882080, ( -1), 901233676, 536046455, 667854253, ( -1), 321270735, 323312597, ( -1), 851004420, ( -1), ( -1), 140271871, 302879219, 637789672, 439949884, 582326189, ( -1), ( -1), ( -1), 400673619, 754489755, 5931195, 934255092, 27991035, ( -1), 838199148, ( -1), ( -1), 641603948, ( -1), 763997224, 543960388, 279690030, ( -1), 78061876, ( -1), ( -1), 912111958, 94438423, 423464415, 977509709, 297815694, 943154463, 751836407, ( -1), ( -1), 627082190, 226026873, ( -1), 36316709, 940230646, 121869789, 20179057, ( -1), 371743704, 41812902, ( -1), ( -1), 777743687, 943901460, ( -1), 441156539, 959393962, 868021364, 607754551, ( -1), 400198095, 189593756, ( -1), 239435809, 988861965, 536703625, 593256136, 832294378, 659537555, 674817653, 758005789, ( -1), 443667680, 679522322, ( -1), ( -1), ( -1), 633276663, 450230942, ( -1), 324328671, 552475014, 885255213, 425852828, 399965765, ( -1), ( -1), 577644661, 210050170, 909246430, ( -1), 993734121, 299609878, 476751712, 720796100, ( -1), 832485479, 453073399, 202536812, 728779087, 401446319, 550050947, 366503276, ( -1), 265517250, ( -1), 38953439, 315168538, 42434508, ( -1), 487187300, 529624652, ( -1), 405619146, ( -1), ( -1), 467633954, ( -1), 361597101, 821284043, 146873222, 901666477, 563656808, ( -1), 52903101, 3604711, 968885872, ( -1), ( -1), 793693106, ( -1), 511842142, 717421361, 862493222, 593278328, ( -1), 700708512, 180266004, ( -1), 789451708, ( -1), ( -1), 508489370, 862138410, 964799762, ( -1), 854733168, 818373411, 615313039, ( -1), 662896739, 154478444, ( -1), 706027236, 123735996, ( -1), 674252409, 446022051, 748253516, ( -1), 189100022, 21339208, 10218203, 18423232, 635123490, ( -1), 735730683, 925049514, 147529812, 852392894, 800147122, ( -1), ( -1), 246817252, 918584468, ( -1), 843650961, 369225609, 651349673, 374743088, 334674236, 173948986, 67047186, 302648249, 120483079, 51475084, 296495361, 614691082, 243405181, 976277949, 704808569, 157289278, 789290096, 67188030, 947205801, 692618909, 176636940, ( -1), 989691334, ( -1), 205784539, 442735139, 307673524, 771578938, ( -1), 409635781, 600029484, 147523055, 579310822, 299419009, 506617077, 945178962, ( -1), ( -1), ( -1), 307366161, 488416760, ( -1), ( -1), 228715244, 594098300, 511442889, 225056189, 279901649, 157443913, ( -1), ( -1), 111885541, ( -1), 369156079, 853723882, 99971593, 657705433, 709737297, 616092875, ( -1), 739925273, 130444166, ( -1), 842110384, 462360275, ( -1), 143537735, ( -1), 182295597, ( -1), 14672271, 988264658, 323022373, 38918504, 991244787, 205850941, ( -1), 603975357, ( -1), 346612681, 503324655, ( -1), 303459199, 338005678, 84785232, 606495557, 968569874, 369065810, ( -1), 882372637, 861483915, ( -1), 100090018, 383129637, 154456172, 808323380, 272732942, 985918932, 86119503, 73265525, 663466851, 218579720, 38438589, 36826076, 906492709, ( -1), 423647610, 118452153, 948427124, ( -1), ( -1), 213233384, 211606699, 302734089, 496140589, 485616635, ( -1), 224873043, 658720283, 23678171, 606702008, 706593544, ( -1), ( -1), ( -1), 248365622, ( -1), 139317302, 289881880, 234479950, 781803871, 445683620, 806273997, ( -1), 990333721, 101919500, 348216110, 654772353, ( -1), 151398183, 429784112, ( -1), 250538438, 910001283, 772809712, 59719135, 934819274, 939213999, 694622891, ( -1), 850300182, ( -1), 690705534, 601819376, 202453220, ( -1), 389660961, 406828987, 227718011, 705446176, 717367568, 480066968, ( -1), 832122896, 313909943, 932202767, ( -1), 674952749, 879436163, 396711357, 372934723, 668633506, 456282135, 322238949, 115569493, ( -1), 761598241, 56200180, 60462811, 31439096, 44012393, 472980391, 211461609, 803231737, ( -1), 502340618, ( -1), 392492770, 543734368, 153836604, ( -1), 305600157, 184572919, ( -1), 524671373, 128992886, 62589872, 39238969, 32580072, 221804708, 410185468, ( -1), 930394401, 843823497, 329224066, ( -1), 278608605, 697970773, ( -1), 635533824, 288781992, 146463691, 312491586, 692834715, ( -1), 855125446, 318576989, ( -1), 368787496, ( -1), 951343697, ( -1), 375685186, 793373634, 205516463, ( -1), ( -1), 788340082, ( -1), ( -1), 419130761, 477217067, 758763063, 281330961, ( -1), 713054980, 155782342, 105949207, 614816128, ( -1), 896165579, 947076576, 842114681, ( -1), ( -1), ( -1), 68354796, 195778983, 974571401, 716272008, 421424306, 11290127, 597552996, 309859392, 667770380, 400489175, ( -1), 625905979, 281581198, 264730818, 136459127, 383011260, 796609585, 692502616, 342057800, 584343419, ( -1), ( -1), 311850660, 383086002, 865868598, 253346500, 233274873, 256740593, ( -1), 657206558, ( -1), 893262974, 838309839, 14388551, 330324890, 440552410, 245579920, 628255890, 852017180, ( -1), 218437312, 264102146, 133387867, 347982344, 47930548, 931588825, 304333869, ( -1), 78459273, 36391691, ( -1), ( -1), ( -1), 18538929, 320580303, 486074489, 127926383, 282284020, ( -1), 392303259, ( -1), ( -1), 272882678, 978291158, 326243443, 27731886, ( -1), ( -1), 291679641, 701588219, ( -1), 427556650, 310666092, 948415759, 742508397, ( -1), 577279230, ( -1), ( -1), 699740744, 147927769, 322542672, 396806009, 18639850, ( -1), ( -1), 992561374, 828211707, 142930517, 311103976, 351122521, 395165587, 690482681, 861851242, 156337560, ( -1), 516665190, ( -1), ( -1), ( -1), 877541261, ( -1), 104647371, 12187206, 127922526, ( -1), 131573877, 94198986, 604346917, 313579174, 750312976, 746432373, 451813125, ( -1), ( -1), 502833167, ( -1), ( -1), 719137641, 86520460, ( -1), 861048370, 68504517, 474960887, ( -1), 763078055, ( -1), 160439797, 407146470, 798971721, 985754306, 977555738, ( -1), 198428136, 555492542, 820883162, 360366900, 28167377, ( -1), 104367764, 771369172, 115465942, ( -1), 897837052, ( -1), 516294516, 507564905, ( -1), 979318777, ( -1), 311343245, 341836383, 601665831, ( -1), 41317180, 611111045, 568752305, 892048356, 544294995, 727022582, 912211101, 122764347, 182082108, 433847301, 947070714, ( -1), 818198244, 446225439, 278463054, 989431044, 212009001, 493029540, 960887081, 376832758, 750519102, ( -1), 27890301, ( -1), 226788275, 384336437, 777868657, 979254326, ( -1), 641035123, ( -1), 99043771, 365332820, 274810114, 646006136, 966062475, 277162293, 811714631, 281642019, ( -1), 303856632, 994682796, 9921056, 40326980, 594932454, 158321046, 618427536, 934842624, 193175658, 7438480, 394417272, 771851744, 74257162, 212286528, ( -1), 408248227, 728424568, ( -1), 795476208, 638486235, ( -1), 848317641, 904863604, 686956281, 637636687, 900123550, ( -1), ( -1), 7610739, 421666324, 318473980, 612335855, ( -1), 687796927, 951492109, 442984766, ( -1), ( -1), 458608926, 495494269, ( -1), 687933450, 640226163, 234006115, ( -1), 216553360, ( -1), 647408614, 48841906, ( -1), 405825726, ( -1), 659173129, ( -1), 914428336, ( -1), 655991858, 95090566, 343802229, ( -1), ( -1), 43471045, 821150280, 318071857, 948094641, 87662660, ( -1), 185735547, ( -1), 596872570, 723516838, 158533314, 737342300, 182277704, 378039713, 944330344, 58808102, 58040006, ( -1), ( -1), 759831581, 205035333, 404424429, 132227952, ( -1), 631238085, ( -1), 257051567, 941007474, 387036926, 679377646, 515557032, 119699956, 861131840, ( -1), ( -1), 555585268, 194575431, 638218421, ( -1), 974096413, 480401827, 566777622, 428593667, 596433901, 921023777, 688187151, 947291437, ( -1), 890196748, 497090794, 489952240, 934685805, 830986304, 834035196, ( -1), 477658529, 261409443, 310262334, 159239549, ( -1), 17590701, 536459173, ( -1), 280113601, 635450928, ( -1), 296775551, ( -1), ( -1), 637176428, 780053819, 516616756, 571879173, 751089164, 835360508, 783995918, 558552836, 915009266, ( -1), 341890615, ( -1), 37551466, ( -1), ( -1), 525856660, 885076560, ( -1), ( -1), ( -1), 159243287, 901067188, 721531741, 479620986, 994218795, ( -1), ( -1), ( -1), 996417641, ( -1), 649347941, 857483601, ( -1), 54425540, 842125661, ( -1), 112748629, ( -1), ( -1), 443166437, ( -1), 242116188, 903707994, 746517697, 916895700, 124723387, 905758550, ( -1), 181836119, ( -1), 45253824, 56253726, 235827507, 400820153, 292571767, 862043617, ( -1), 874085127, 129905571, 791297696, 303612665, 876264107, 612931388, ( -1), ( -1), 818547721, ( -1), ( -1), 212940856, ( -1), ( -1), ( -1), 246082137, 494325796, ( -1), 96283299, ( -1), 323012120, 436302679, 988374597, 840131937, 226639580, ( -1), 40332998, 232114014, ( -1), ( -1), 324398783, 228225, 498270777, 359513064, 338536497, ( -1), ( -1), 942507237, 351871058, 936813742, 370550362, ( -1), 960530259, 676108126, 172762200, 594774762, ( -1), 264278821, ( -1), 502981290, 863731297, ( -1), 254906240, ( -1), 243348761, ( -1), ( -1), 930089269, ( -1), ( -1), 183332830, 727121689, 430206095, 696119374, ( -1), 241571406, 972817541, 124584069, ( -1), 280409783, ( -1), ( -1), ( -1), ( -1), 70009821, 990695823, 427546548, 446433063, 599790305, 604731139, 979773363, 76128855, 142903111, ( -1), 793588698, 251388304, ( -1), 883265757, ( -1), ( -1), 623333489, 92981421, ( -1), 673384942, 161228231, 735103220, ( -1), 968550760, ( -1), ( -1), 51597968, 369243411, 304714065, 413321005, 601314342, ( -1), 56643082, ( -1), 185026215, ( -1), ( -1), 544650920, 415245168, 809504263, 698700593, ( -1), 733333302, ( -1), 746808593, 111101387, 716447884, 772141825, 338727996, 999748168, 7649857, 82065873, 788109540, 65147977, 721217021, 415426734, 392386925, ( -1), 473751866, 117020443, 538400237, 33064525, 791257061, 84173625, 652367751, 317828154, ( -1), 704921817, ( -1), 352966542, 677180054, ( -1), ( -1), ( -1), 44057660, 797118366, ( -1), 985566777, 980246942, 217860877, 598734239, ( -1), 48585117, 761874913, 237438078, 176786190, 605674228, 553516650, 748157821, 481263276, 178539567, 313233121, 591981244, 522712667, ( -1), 744455018, 43542834, 265706123, ( -1), 860648175, 634348697, 625639884, 929211178, ( -1), 930646621, 389147239, 696975606, 108010198, 932415468, ( -1), 153650513, 742573456, 920257441, ( -1), 508795303, 263141749, 999250950, 504598476, 637539730, 963999042, ( -1), 187923923, 319618145, ( -1), 133857896, 513569603, 413158276, 455466674, 229029352, 537768839, 253928274, 878099159, ( -1), 885367927, 549958435, 4416798, ( -1), 826969727, 48416703, ( -1), ( -1), 880077525, 678208206, 122549066, 393720599, 1925756, 959398561, 516012274, 330592093, 150328072, 441242514, 284745913, ( -1), 907116084, ( -1), ( -1), ( -1), ( -1), ( -1), 361630826, 794453517, ( -1), 90633992, ( -1), 56298587, ( -1), 635915937, 759883852, 364229286, 505324815, 282551786, ( -1), 44839635, 473349441, 436247947, ( -1), 255092225, 945131737, ( -1), ( -1), ( -1), 612482129, ( -1), 243523811, 734145220, ( -1), ( -1), 890453770, 586962085, 826753914, 827653161, 481651719, 34677014, 200510887, ( -1), 649846445, 798456997, ( -1), 489503167, ( -1), 94509903, ( -1), 770879663, 886266679, 581735623, ( -1), 601399836, ( -1), 223327783, 909963394, ( -1), ( -1), 695395892, ( -1), 19247409, 455402978, 911471099, 869287708, 882992439, 149205244, 917431862, 978586208, 287668061, ( -1), ( -1), 967539359, ( -1), ( -1), 415453660, ( -1), 194264744, ( -1), 333207154, 816136839, ( -1), 132607242, 897384686, 837857827, 664065374, ( -1), ( -1), 261466897, ( -1), 113109319, 755069570, ( -1), 653977991, 527697835, ( -1), 770997779, 983760464, ( -1), 302411813, 434706676, ( -1), ( -1), 311380875, ( -1), 684801895, ( -1), ( -1), 471489266, 158045070, ( -1), ( -1), 295026797, ( -1), ( -1), 212844065, 269149970, ( -1), 894162061, ( -1), ( -1), 809238279, 213382828, 371071230, 458534155, 465548414, 337107763, ( -1), 910022429, 26921374, ( -1), ( -1), ( -1), ( -1), 736947074, ( -1), 78319965, 44967484, 294285363, ( -1), 447950112, 50008433, 351674794, 852999479, 246109450, 323138551, 20274487, ( -1), 133361271, 984518858, ( -1), 112778515, 421338890, ( -1), 934553681, ( -1), 824434672, 324582641, ( -1), 129297172, 173552237, 831136162, 302739186, ( -1), 518966487, 4531589, 757029454, ( -1), 639779062, 826902759, 251609134, 451501268, 932099049, 218463876, 115274374, 503266863, 739403937, 898744031, ( -1), 48386697, 452703686, ( -1), ( -1), 95579472, 463817933, ( -1), 953040120, 891961454, ( -1), ( -1), ( -1), 564656836, 753248926, 79061084, 583850860, 805450083, 679055259, 878391143, 322473452, ( -1), 933842702, 20893547, 351438227, ( -1), ( -1), 52156419, 306714238, 27746995, ( -1), 550527299, 388937850, ( -1), 833196972, 276570758, 40887197, 353524280, ( -1), 549313891, 436272491, 525079372, 118506788, 554595084, ( -1), ( -1), 906551785, ( -1), 392334530, 712774982, 754978114, ( -1), 25871971, 138951788, 557593119, 701037363, ( -1), 56469500, ( -1), 281961652, 827703742, 181682564, 756942903, 286558511, 591316475, 192875141, 382026143, 95934828, ( -1), 194057186, ( -1), 758796826, 129307447, 20891019, 28250392, 884194919, ( -1), 114771957, 511151657, 504793688, 93187910, 844718848, 382363928, 987266375, ( -1), ( -1), 396632026, 518349206, 457192591, 476557147, ( -1), ( -1), 543475470, 670172095, ( -1), ( -1), 360053610, 767822957, ( -1), 371407849, 337152958, 435028474, ( -1), 40994510, 314831996, ( -1), 924137747, 590665225, 793572137, 308887129, 57073385, 995622628, ( -1), ( -1), 629648653, 760626563, 119046152, 963831655, 439252696, ( -1), ( -1), 394902152, 517319629, 227756044, 387654233, 226825836, 853856401, 264034922, 742584957, 217937888, 542137743, 714391762, 129549402, ( -1), 590360833, 252908163, 18289155, 632414400, 113574943, 764827008, 581553448, 751473327, 823161642, 230173286, 254115945, ( -1), 251036862, 60849875, ( -1), ( -1), 488551827, ( -1), ( -1), ( -1), ( -1), 11125109, 876740910, ( -1), ( -1), 642690371, 842293028, 801160634, 480325806, 536599767, 862424736, 847868356, ( -1), 282761821, 783989146, ( -1), 751823108, ( -1), 407586824, 472082575, 821350526, 589534124, 126381905, 147121258, 714587142, 308335820, ( -1), ( -1), 756093825, 490215393, 576053890, ( -1), 810338835, 2653869, ( -1), 265263300, 661032871, 257899073, ( -1), ( -1), 954143035, 982212537, 235688732, ( -1), ( -1), ( -1), ( -1), 895559704, 672233475, ( -1), ( -1), 38551235, 12141517, ( -1), 535957109, 136526779, 289096015, ( -1), 618849938, ( -1), 427704252, 646960185, 609344468, 500030512, 672320597, ( -1), ( -1), ( -1), 333038303, 616487683, 896681957, 86364182, 891632084, 399364235, 503650465, 747402751, 34422653, ( -1), ( -1), 625449746, 380393127, 628959727, 667009759, ( -1), ( -1), ( -1), 388714894, ( -1), ( -1), 846591608, 791501020, ( -1), 436948724, 609270902, ( -1), 226519811, 231859526, 654042558, 685575816, 864320380, 659588314, 462916278, ( -1), ( -1), 751317804, 602709528, ( -1), 176315748, ( -1), 480521177, 462220925, 375377059, 136458644, ( -1), 48295752, 15990768, 416576341, ( -1), 566840626, ( -1), ( -1), 281042235, 576763744, 982471016, 512894873, 706226614, 56203429, 919877038, 196852731, 948464197, 858898392, 313669588, ( -1), 730719890, 760318740, ( -1), 849340550, 928767492, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 101430565, 798462518, 403448067, ( -1), 375697372, 408222581, 489371387, 437692891, 586840856, 422635571, 240644109, 673816703, 854143626, ( -1), 521313206, 281975476, 791891295, 76101405, 98326299, 802459047, ( -1), ( -1), 151880412, 266281554, 595644976, ( -1), 31286316, 401430019, ( -1), 251730188, ( -1), 537389235, 392850188, ( -1), 299845269, 513118512, ( -1), 330252525, ( -1), ( -1), 739027169, 855833786, ( -1), ( -1), ( -1), ( -1), ( -1), 747149555, 209663081, 615234185, 858392942, ( -1), 460529487, 295014090, 267824701, 277374912, ( -1), 304780559, ( -1), 593058095, 198422324, 60464245, ( -1), 241980575, ( -1), ( -1), 252079413, ( -1), 443151617, 291096773, 265265802, 263913282, 147913779, 584731684, 517372224, 406029652, 436653341, ( -1), 834062899, ( -1), 165279584, 140887444, ( -1), 635458292, 212846631, 509528420, 354829730, 384766966, ( -1), ( -1), ( -1), 820382369, 765312895, 820307946, 729458518, 840265837, 560216433, 191367770, ( -1), 755318592, 122699393, ( -1), 428086147, 164714115, 530746869, ( -1), 912275276, 306945978, 704866070, ( -1), 958451780, 649385872, 642276051, ( -1), 531432281, 580805727, 398784739, ( -1), 394682640, ( -1), 539235046, 906027264, 172600648, 704520391, 891284967, ( -1), ( -1), 638224959, ( -1), 448350735, 95608090, ( -1), 708278563, ( -1), 16380183, ( -1), 168064814, 23369590, ( -1), 913119043, 531540066, ( -1), ( -1), 303376856, 672505667, 222343621, ( -1), 654835311, 888725524, 30842710, ( -1), 496056360, ( -1), 936010395, 603985100, 865805711, 101702068, 914341559, ( -1), 556739591, 259848612, 319057181, ( -1), 739962233, 847605444, 446820824, ( -1), ( -1), 717199295, 893131869, 512552441, 75349997, ( -1), ( -1), ( -1), 229865798, 522519835, 791327767, ( -1), ( -1), 612247628, 166074226, 633509103, ( -1), ( -1), 193554233, 154139001, 478556409, 858431923, 75172126, ( -1), ( -1), 649929229, ( -1), 79460414, 144782512, ( -1), ( -1), ( -1), 120259259, 175459646, ( -1), 422279424, 161909309, ( -1), 374998330, 183914242, ( -1), ( -1), 331361123, 97351906, 306998110, ( -1), ( -1), 478309288, ( -1), ( -1), ( -1), 917938985, ( -1), 105816198, 106093850, 686327057, 548996008, 978844967, 199136918, 529991395, ( -1), 965493940, 950928413, 364971937, 953180568, 706400149, ( -1), 313683115, 859225195, ( -1), ( -1), 542356674, 98288394, 447155162, ( -1), 942475610, ( -1), 967001640, 608244147, ( -1), ( -1), 194414785, 835202973, 123625265, 590939525, ( -1), ( -1), 922792669, ( -1), ( -1), 682201002, ( -1), 356776036, 395130539, 353789758, ( -1), ( -1), 247165539, 598023823, 643387463, 43817518, 61589051, 484551049, 828507079, 619592060, 798143918, ( -1), 520593830, 217148483, 155873424, ( -1), 667243110, 923851446, ( -1), ( -1), 798475672, ( -1), ( -1), 356104308, 948642686, 116300221, 823766817, ( -1), 88872797, ( -1), 299763421, ( -1), 302698101, 250489861, ( -1), 18492825, 106395927, 385654900, 819266314, ( -1), 567319839, 399338647, ( -1), ( -1), 725381547, ( -1), 54599095, 111368358, 327018806, 858176261, ( -1), 922042530, 496279865, 705186254, 771836257, 69626736, 867406381, 433314582, ( -1), 273638116, 531334920, 471398496, 409105131, 642416283, ( -1), 803365077, 119329142, 181299821, 453025770, 270604847, 349963438, 215223300, 844994683, 402197934, 854047005, 610168348, 564238804, 262266486, 435717044, 856941017, 790132057, 374930791, 119946854, 733878854, 174184134, 549525729, 129834841, 52692085, 194455363, 768013055, ( -1), ( -1), 285128696, 429734184, 933096023, 366950874, 579747674, 405727332, 717887332, 590044079, 261918645, ( -1), 417410620, 450449949, ( -1), ( -1), ( -1), 48317256, 905565320, 712190457, 733554933, 436270960, 531470045, 930144439, 550682424, 905808012, ( -1), 88032767, ( -1), ( -1), 572747627, 321542306, ( -1), 511587968, ( -1), 416501340, 14823805, 927202581, 940860867, 370263729, 867355219, ( -1), 962618591, 77413470, 575396688, 358297836, 101308363, 12906411, ( -1), 202725208, ( -1), 118090111, 461760235, 622284071, 62940743, 376167853, ( -1), 701092623, ( -1), ( -1), ( -1), 254597664, ( -1), 233618846, ( -1), 643436537, ( -1), 441768460, 127988362, 292276046, ( -1), 589879914, 946384469, 672138307, 105605386, 883314655, 976670617, 286535127, ( -1), 765499766, 511817174, 205910741, ( -1), ( -1), 322648519, 99066834, 765681642, 816568083, 564252617, 420702285, ( -1), ( -1), ( -1), 134254081, 116590653, 480181293, 720945109, 259902587, 471343073, 829934220, 876520206, ( -1), ( -1), 330630938, ( -1), 965223925, 737970059, 517377414, 379874317, 809872199, 612399373, 848534514, ( -1), 102347244, 722463219, 942603770, ( -1), ( -1), ( -1), ( -1), 628662212, 926309002, ( -1), 226857737, ( -1), 104996473, ( -1), 29635222, 795354154, 179036119, 708170055, ( -1), 592703419, ( -1), 666500339, 509117822, 175209598, ( -1), 17989842, ( -1), 503766454, 851380301, 589531098, 437074291, ( -1), 389580352, 246195334, 104913428, 773708148, 250263481, 986989867, 823398827, ( -1), 362583405, 744556693, 396651318, 731187051, 382279265, 347954256, ( -1), 483735782, 55008386, 137176786, 91685323, ( -1), ( -1), ( -1), 559874744, 459583969, ( -1), ( -1), 492704462, 549892424, 376194999, ( -1), 733470764, ( -1), ( -1), 569177776, 722703089, 974451839, ( -1), ( -1), 694564475, 703444560, 940339772, 793413706, ( -1), 503197735, ( -1), 982749331, 865936773, ( -1), 913737107, ( -1), 124382603, 247390195, ( -1), 842963742, 749169423, 23352886, ( -1), 427357771, 793520454, ( -1), 982275867, 672013113, 380829960, 765925626, 206396598, 128291887, 613730010, 238084525, 598889632, 17228756, 275697732, 57443475, 507244425, ( -1), ( -1), 718311385, 880284801, 280948305, 765444518, 659108057, ( -1), 511123403, ( -1), 717844908, 778083095, 627261438, 83117169, 899190700, 561448594, ( -1), ( -1), ( -1), 568001987, ( -1), 17581703, 26983368, 228533955, 164208507, ( -1), 151991398, 250532692, 570331028, 375041453, 857964265, ( -1), ( -1), ( -1), ( -1), ( -1), 97166090, 985399882, ( -1), 79718616, 39059121, 450929554, 20430066, 903109275, 54773974, 461604466, 540274274, 404236813, ( -1), 362606488, 580003898, 192471764, ( -1), 840614976, ( -1), 386000484, ( -1), ( -1), 484569234, ( -1), ( -1), 146940876, ( -1), 784255522, 649391620, ( -1), 859129815, 220634474, 908042748, ( -1), 395225940, ( -1), 968618686, ( -1), 192654947, ( -1), 319710752, 638875921, 403140623, 920399736, 499734933, ( -1), 538253758, 407998396, ( -1), 989919056, 189053905, ( -1), 902326916, ( -1), ( -1), 328874221, 934144011, 994773967, 113610471, 618923590, 175718488, ( -1), 891877851, 141393998, 828516349, 156034132, ( -1), 330642340, ( -1), 4022062, ( -1), ( -1), ( -1), 70512980, 928012359, 196157857, 162983904, 762297716, 73548088, 109084902, 637452335, ( -1), 303963713, 914094250, 782784807, 714828178, ( -1), 391157583, 449006496, ( -1), 69949080, ( -1), 820060429, 709321908, 133408244, ( -1), 144132362, 854034199, ( -1), 617565468, 817682388, 700327303, 100797612, ( -1), ( -1), 646928236, 899870668, 912376606, ( -1), ( -1), ( -1), 890397464, 552043996, ( -1), 126716829, 522380256, ( -1), 667706384, ( -1), 327666020, 986106014, 542755287, 841001136, 89635191, ( -1), 331995672, 386551219, ( -1), 643733736, 611088974, ( -1), 241540080, 537185605, 397455625, 878723989, 47578007, 312615878, ( -1), 982967822, 995659171, 148177553, 244178113, 503655673, 714061382, 394610974, ( -1), ( -1), ( -1), 563907955, ( -1), 264510161, ( -1), ( -1), 115498482, ( -1), 153147693, 437527404, 817214618, 837338923, 562106761, 399033317, ( -1), 752547905, ( -1), 389283950, 38612872, 684241057, 124051400, ( -1), ( -1), 120508072, ( -1), 159628845, 342069226, 820727045, 253865696, 45453361, ( -1), 489876888, ( -1), 107757888, ( -1), 42836881, 400575850, 813034457, 423528161, ( -1), 607793124, ( -1), 424489713, 939896721, ( -1), ( -1), ( -1), 834882057, 890060661, ( -1), 904083018, ( -1), 371037394, 731311005, 989913998, 860723079, 237242039, ( -1), 474803164, 606686543, 420721888, 84155109, 54013192, 222947354, ( -1), 182914378, ( -1), 760053240, 336931595, 894740148, 626131016, ( -1), ( -1), 721362246, 609985121, 340361929, ( -1), 660014485, ( -1), ( -1), 649913350, 894859196, ( -1), ( -1), 822300260, 582431483, 832088904, 37721601, 698655072, 480373043, 667960333, 320792333, 835077664, 176744310, ( -1), ( -1), ( -1), 436528633, ( -1), ( -1), 141094679, 974108456, 911060419, 914889472, 519978893, 216069043, 765490231, 146642248, ( -1), 876845856, 496301543, 875114936, 47115987, ( -1), ( -1), 25056322, ( -1), 650727726, 499539660, 619588006, ( -1), 201538323, 430284088, 44714548, ( -1), 444277046, ( -1), ( -1), 790466473, 140837053, 219276995, 109893130, 749163731, ( -1), ( -1), 560089872, 111603193, 682536523, 612815801, 128980034, 586824621, ( -1), 560293084, 612156966, 405134607, ( -1), ( -1), ( -1), 783337383, 732091963, 967505371, ( -1), 519751189, 559821080, ( -1), 198059843, 813402820, ( -1), 431971237, 791429250, 109481587, ( -1), ( -1), 283786499, 10478168, 399281926, 405356539, ( -1), ( -1), 180117083, 86795765, ( -1), 442479757, 466864789, 794912857, 856310939, ( -1), 807496651, ( -1), 314962186, 827661754, 678092614, ( -1), ( -1), 338485294, ( -1), ( -1), ( -1), 339483295, 148395111, 311458204, 982651806, 935023757, 64124339, 494853728, 703148683, 872367771, 859803986, ( -1), ( -1), 624040344, 998554040, ( -1), 602963300, 614482465, 8197372, 368947632, 188196124, ( -1), ( -1), ( -1), 417778548, 111988894, 588204742, ( -1), ( -1), 143280008, 87650183, 745984177, 856571096, 919852962, ( -1), 738106737, ( -1), 874607963, 385270854, 321872087, ( -1), 640000802, ( -1), 156131004, 633132806, 29052533, 453956286, 22619376, 326008204, 455904607, 356649228, 919522869, 10233055, ( -1), 839306934, ( -1), ( -1), 464508514, ( -1), 737289132, 662457230, 656937236, 7722099, 674089802, 643567199, ( -1), 717486387, 726732119, 984605861, ( -1), 661583928, 677863539, 227958444, 591088291, 44055776, 26054053, 908281890, 364590909, ( -1), 10461293, 899931458, 64526669, 576697458, 253687689, 737977783, 271766661, 295778548, ( -1), 533402218, ( -1), 186153223, 26424197, 322871777, ( -1), ( -1), 928040354, 54746706, 980543957, 219743114, 863080705, 363044010, 711040456, 158619118, 365947606, 978744486, 112690228, 856539267, 53066996, ( -1), 907694387, 727871893, ( -1), ( -1), ( -1), 840064978, ( -1), ( -1), 597515677, 232682109, 282816054, ( -1), 398525460, ( -1), 878647076, 550772479, 246249064, 391794863, ( -1), ( -1), 637639593, 253389797, 687736498, 59784239, 769846330, 736995340, 32664981, 172756576, ( -1), 532954096, ( -1), ( -1), 726227719, ( -1), 774704471, ( -1), ( -1), 397010071, 371003226, 888313247, 242655165, ( -1), 904381053, 635137336, 740002553, ( -1), 437583186, ( -1), 156727366, 43273762, 542724859, ( -1), 194005264, 139359077, ( -1), 558636173, 322053125, ( -1), 722584468, ( -1), 352678717, 295634945, 956238367, 701211993, 33876737, ( -1), ( -1), 927796389, 942185060, 893039549, ( -1), 104616921, 546325449, ( -1), ( -1), 722577494, 717871843, 583897439, 932556014, 984260641, 482070317, 921019228, 258341686, ( -1), 868569786, 732650388, 634813137, 360897994, ( -1), ( -1), 983433843, 740082533, 139477113, 78537462, 925739328, 839383463, 15484579, 988286554, ( -1), 737458606, 947348209, ( -1), 629430932, 184012818, 289216157, 787497363, 55701571, ( -1), ( -1), 355995359, 312977522, 660130299, ( -1), ( -1), 40925519, 26720689, 181411340, 13340010, 715387551, 53995155, 694480078, ( -1), 144720942, ( -1), 492680739, ( -1), ( -1), ( -1), 671427846, 161239080, ( -1), ( -1), ( -1), ( -1), 813868285, 529825030, ( -1), ( -1), ( -1), ( -1), ( -1), 726733312, 299486800, ( -1), ( -1), ( -1), 58040817, 967102076, 884626551, 582913603, ( -1), 716648252, 254200826, 152013289, 674138022, 409417939, ( -1), 877072918, 101780730, ( -1), ( -1), ( -1), 677238274, ( -1), 203643828, 444332860, 527444244, 953027129, ( -1), 688469392, 253693859, 545726813, 339391142, ( -1), 837339882, 388546744, 612775985, 131805909, 84192755, ( -1), ( -1), 261334300, ( -1), 710004745, 321298345, 846473770, 921526384, 319535273, 692154284, 384620543, ( -1), 181949869, ( -1), ( -1), ( -1), 139902648, ( -1), 706343647, 857811965, 270128641, 267634488, 391779708, 375182248, ( -1), 392543347, 268259792, 531439982, 12027258, 760797726, ( -1), ( -1), 322747400, 536087211, 314016992, 120333368, 452872515, 528790904, 161929109, 584900219, 996738261, 624116812, ( -1), 353163445, 266149408, ( -1), 434406299, 674596081, 609936945, ( -1), 296471898, 349059393, 138264834, ( -1), 670308987, 28209618, ( -1), 365383579, 78789958, ( -1), ( -1), 275911226, 625119234, ( -1), 148693254, ( -1), 422354978, 314375749, ( -1), 65885824, 472906012, 174849798, 533329303, 662734266, 522248942, ( -1), ( -1), 145118095, 784657865, 301749513, ( -1), 256191770, ( -1), ( -1), ( -1), 160541580, ( -1), 717011820, 18532920, 831355516, 173903920, 938508888, 889060840, 300106923, 583002056, ( -1), 339677955, 709193138, 477239184, 626498989, ( -1), ( -1), ( -1), 237201167, ( -1), 168480512, 259190688, 943901805, 290595089, 150606613, ( -1), 961698423, ( -1), 134842546, 290641482, 275631985, 77058912, 139040684, 980370842, ( -1), 718406385, 754566073, 743540089, 674606159, ( -1), 817445885, 861819874, ( -1), 724525627, 571459031, 451789346, 637312371, 272949018, ( -1), ( -1), 521308673, 931245772, 723643388, 246268620, ( -1), 849869985, ( -1), ( -1), 124202651, ( -1), 592828198, 899450582, 512834047, 244002640, ( -1), ( -1), ( -1), 544857627, 871570784, 822067623, 787026754, 588394912, 328923676, 188000089, 214506529, 564417061, 420297859, 411774745, ( -1), ( -1), 732032917, 110489919, ( -1), ( -1), 259184198, 158115642, 123876345, 202062665, ( -1), ( -1), ( -1), 484876882, 575052453, 342544024, 343014023, 179663636, 14044597, 366350500, 382350966, ( -1), 475744436, 262202332, ( -1), ( -1), 334020734, 861361191, 281717162, ( -1), 67258536, 917925036, 888506493, 956321073, 63318718, ( -1), 746252762, 960408699, ( -1), 588474183, 983452550, 273667044, 2429175, 755082985, 133196209, 753626778, ( -1), ( -1), 70095849, ( -1), 332024262, 715283551, 553684280, 580165448, 694338857, 286899782, 911041921, 883540568, ( -1), 70949964, ( -1), ( -1), ( -1), 702874951, 67702633, 996692035, 87009342, ( -1), ( -1), 883956417, 249368679, 887289680, 790915666, ( -1), 51573311, 296345652, 631505935, 262972816, 190835671, 250838829, 179069196, 337571168, 122259419, ( -1), 361079564, 350676937, ( -1), 826221357, 798782453, 200776626, 184089864, ( -1), 754639772, ( -1), 870888409, 127157542, 389781810, 485762713, 879666876, 669699265, ( -1), 731838025, ( -1), 343471271, ( -1), 819529556, 735002822, 426052953, 563046645, ( -1), 930301005, 2697781, 644568731, 522369437, ( -1), ( -1), 834474931, ( -1), 326457734, ( -1), 111013154, ( -1), ( -1), 963904618, 210917287, ( -1), 302297538, 299512541, ( -1), 455365365, 944169943, 266193050, 937054835, 927911692, 92919623, 59507418, 637693590, ( -1), ( -1), 199012236, 603489813, ( -1), 322220819, 619863579, 820890775, ( -1), 287207397, 556858940, 147394900, 692921681, ( -1), 180008542, 604032192, ( -1), 679539834, ( -1), 117348905, 517127238, 709266253, 452098517, ( -1), 935775798, 12133383, 192042518, ( -1), ( -1), ( -1), 24395354, 142286958, 991264107, ( -1), 188643662, 428668522, 902385243, ( -1), 805250931, ( -1), 762926767, 112390881, 563977380, 68810112, 914049369, ( -1), ( -1), ( -1), ( -1), 809957325, 912999287, 350663738, ( -1), 803400959, 729613752, 632130234, ( -1), ( -1), ( -1), 371130886, 707975477, 461003655, 45465902, 226789610, ( -1), 436697479, 57455519, 718971133, 663556028, ( -1), 649973980, 636253139, 548486119, ( -1), 116821119, ( -1), 663881633, ( -1), ( -1), 703904371, ( -1), 925688210, 926037859, ( -1), 181452356, 663316205, 331475792, ( -1), 517486400, 57589495, 221545813, 930487911, 270933790, 792222920, ( -1), ( -1), 360973617, 911566070, 469436388, ( -1), 478897619, 326931451, ( -1), 119249165, 770027266, ( -1), 496184313, 470793891, 296149005, ( -1), 537474243, 399324148, ( -1), 928329403, ( -1), 170832845, ( -1), ( -1), 888401080, 867057342, 792030388, 705503124, 569056613, 365023226, 107890741, ( -1), 364500930, ( -1), 402053633, 866170474, 233669363, 497202854, 502822458, 583361553, 337010914, 934468428, 468642033, 122941105, 230863665, 383999412, 789964909, 901693036, ( -1), 199557174, 850183549, 928457593, 170087522, 745614913, 923909066, ( -1), 150250950, 409485571, ( -1), 854197418, 27057152, 649775413, ( -1), 915391636, ( -1), 429689192, 374974672, 449664067, 853780820, 888797299, 49319418, 95003994, 645912318, 711590913, ( -1), 820343833, ( -1), 104416603, ( -1), 82074551, 77311309, ( -1), ( -1), ( -1), 736841665, 243453757, ( -1), 841720668, ( -1), 40010285, ( -1), ( -1), ( -1), 226756267, 926423360, 261634660, 18986867, 882058746, ( -1), 260829924, 117371568, 427559621, 121142003, ( -1), 837983177, ( -1), 98193761, 694440049, ( -1), ( -1), ( -1), 605566943, ( -1), 407129665, 90738418, ( -1), 148472922, 160976433, 673111074, ( -1), 381033297, ( -1), 724867536, ( -1), ( -1), 461300960, 515230669, 611096768, 654982964, 301723210, 87188349, ( -1), ( -1), 938716438, ( -1), 200966475, 280523886, ( -1), 297999091, 141884862, ( -1), 563522358, 456697973, 149821698, 195060869, 983437241, 240876434, 874589673, 540989758, 257045460, ( -1), 161469459, 106281163, 420644578, 112800939, 875437896, 307101011, 348356966, 300803183, ( -1), ( -1), 317454725, 639499164, 953008410, ( -1), 259969806, 243322816, 685731469, 830598816, 516693103, 145882122, 853901598, ( -1), ( -1), 979147821, ( -1), 49585477, ( -1), 999918692, 762730505, ( -1), 915431738, 352678998, ( -1), 669180027, 642218191, ( -1), 354462165, 543144211, 341135065, 637804369, 396263498, ( -1), 663022873, ( -1), 844710733, 168660684, 115161224, ( -1), 208045691, 556391706, 608124072, 102191043, 310908472, 137111211, 35258933, ( -1), ( -1), ( -1), ( -1), 226426855, 11108390, ( -1), ( -1), ( -1), 504424785, 1369663, 776804097, 741579697, 6548147, 127361755, 487482589, 155916152, 167876844, ( -1), 937982669, 361829845, 591034685, ( -1), 969636430, 338041351, 314233272, ( -1), ( -1), ( -1), 698249564, 629816983, 673245654, 508881966, 204899457, ( -1), ( -1), 878495331, 565223867, 167664702, 804440293, ( -1), 261314677, 601723765, 212141074, 272592141, 12760414, 910662729, 358591702, 352104172, 940742115, ( -1), 863144247, 976822335, 915123351, ( -1), 509298620, 628175583, ( -1), 794810563, 691289313, ( -1), 696589939, 450575618, ( -1), ( -1), 77661552, 915494223, 3024223, 42836174, 329656780, ( -1), ( -1), ( -1), 738006934, ( -1), ( -1), 547723036, ( -1), 676126503, 204241695, 981540444, 187650104, ( -1), 477834990, ( -1), ( -1), ( -1), ( -1), 579420841, ( -1), ( -1), 910846571, 415958743, 618476568, 806826997, ( -1), 281949099, 222381590, 976254736, 308252828, 325139155, 201355772, 496589901, 320750787, 649995686, ( -1), ( -1), 97878938, ( -1), 19063776, ( -1), ( -1), ( -1), 995958635, 963125738, 302813202, 933768256, ( -1), 828711692, ( -1), 955518158, 883167648, 291698072, 316025262, 957919557, 117743836, 684097021, 60222930, ( -1), 570574226, ( -1), 94443967, ( -1), ( -1), ( -1), 472050855, 428017677, 838182052, 794553209, 429949870, 901726899, 471616124, 554371801, 258425237, 30814193, 341880413, 702163176, 796634800, ( -1), 520974179, ( -1), ( -1), 224178845, ( -1), 434099423, 578398058, ( -1), 836189590, ( -1), 313303505, 210818652, ( -1), ( -1), ( -1), ( -1), 591993071, ( -1), 242749658, 816478248, 530719535, ( -1), 504412769, 73446917, 258934015, 658000262, ( -1), ( -1), 353693749, 570257691, 756374769, ( -1), 320717186, 590347683, ( -1), 513425010, ( -1), 750204969, ( -1), 107375562, ( -1), ( -1), 419039198, 246347882, 376552653, ( -1), ( -1), 397379039, 926935859, 627499366, 458046786, ( -1), 634206533, 941489049, 821886098, 818550238, ( -1), 369729958, 281549737, 197593176, 101597372, 335726733, ( -1), 970509767, 818321115, ( -1), 218360185, 381752522, 55493137, 808488373, 694516304, 899254677, 997664874, ( -1), ( -1), 476783181, ( -1), 61484637, 807972721, ( -1), 818836669, 853550251, 312912473, 309775296, 948831988, 963743293, 898984189, ( -1), 751776215, 387959707, 742589939, 516904891, ( -1), 974405656, 726892779, ( -1), 328259081, 758844445, 106811051, ( -1), ( -1), ( -1), 426321216, 820172261, 361182164, 714464123, 96144402, ( -1), 873946531, 543606864, 729684630, 756552335, ( -1), 388714385, 472305856, 463751275, 296888150, 439315955, 413503492, 412198805, 291729288, 899236255, 700908194, 676927361, 239593553, 402207440, 845882475, 414593555, 848369777, ( -1), ( -1), ( -1), 188602767, 149678693, 60981688, 714916604, ( -1), 143511917, ( -1), 999098603, 505923509, ( -1), 570331946, ( -1), 401623217, ( -1), ( -1), 438682392, 269385762, ( -1), 305127136, 525922813, ( -1), ( -1), 526455803, 742531372, 369153744, 370299858, 750965040, 769309043, 317247826, ( -1), 803603864, 769138856, 161004189, 590600211, ( -1), 545095805, 217377089, ( -1), ( -1), 942700166, 801864979, 162445263, 989716196, 32743597, 156262825, 660883902, 562177212, ( -1), 964672928, ( -1), 687188675, 723714495, 172128778, ( -1), ( -1), ( -1), ( -1), 529644723, 726088764, 564351985, 855375589, 404393442, 324708571, ( -1), ( -1), 710413139, 877620209, 629512859, ( -1), ( -1), 211838160, 646376075, 951963702, ( -1), 63198599, 344287846, 649469058, 389092560, 280973578, 375009977, ( -1), 414413412, 191952815, ( -1), 983887072, 991641999, 233089044, 116806694, ( -1), 675287826, ( -1), 958957581, 716241892, 529140864, 692066425, ( -1), 502375807, 965948818, 82228128, ( -1), ( -1), 517526866, 496993940, 664572097, 477647119, 507419759, ( -1), 141490305, ( -1), 195785634, 104506432, 423142826, ( -1), 181343295, 66363475, 58855301, 779738263, 330295610, 735433033, ( -1), 822787157, 888798381, 216047429, 490860523, 847277056, 439654796, 249893876, ( -1), 87299115, 828813181, 366153546, ( -1), 903634054, 230050915, ( -1), ( -1), ( -1), ( -1), 844493583, 620416669, ( -1), ( -1), 825849562, 281201273, ( -1), ( -1), 272511978, 839411950, 747938474, 591720634, 865055370, 714506883, 41442238, 213327721, ( -1), 483314669, 791095475, 411299643, ( -1), ( -1), ( -1), 884665271, ( -1), 882662150, 840172023, ( -1), 309534682, ( -1), 950157938, ( -1), ( -1), 369701837, 347272574, ( -1), ( -1), ( -1), 534365401, 491317475, 572866548, 113904144, 127014996, ( -1), 323520027, ( -1), 824341999, 140891557, 640658203, 967282421, 53534677, ( -1), 264776064, 204091444, 491192783, 575243060, 997963440, 388073318, ( -1), 978280084, 81077264, 300627208, ( -1), ( -1), ( -1), 567907305, 285290008, 473243272, 112689525, 311530867, ( -1), 936446388, 560350031, ( -1), 121982130, 249911696, ( -1), 363816426, 444444901, ( -1), 600030004, 616899247, 548197119, ( -1), 432691500, 788655141, 936377611, ( -1), 412863010, ( -1), ( -1), ( -1), ( -1), ( -1), 968557625, ( -1), 399017784, 991964966, 238344099, ( -1), ( -1), ( -1), 554820884, 536979495, 116771478, ( -1), 566040090, ( -1), 426468563, 204343612, 26072782, 336265448, 490005453, 161950426, ( -1), 12539160, 309464683, 698790470, 22402776, 288778578, ( -1), 179577317, 57089756, 695744072, 190142790, ( -1), 679617658, 612818153, 70206008, 203964889, 503443068, 338498481, 495337313, 236215340, ( -1), 999156292, ( -1), 566633242, 626350968, 823942257, 780111367, 961532847, 215553853, 646505337, ( -1), 483040822, 551170023, ( -1), 949362718, 427116970, 603015611, 755091361, 728532454, 587634221, ( -1), 702244128, 314098214, 85653485, 962415178, 706619248, ( -1), ( -1), 564027024, 941490041, ( -1), ( -1), 593308624, 39693718, ( -1), ( -1), 773550305, 369368592, 266948138, 149671465, 937417313, 36848226, ( -1), 298652302, 128291207, 410816271, ( -1), ( -1), 886413333, 750667008, ( -1), 235085415, ( -1), 90137469, ( -1), ( -1), 393199234, 822708676, ( -1), ( -1), 847891810, ( -1), 693419846, 197145549, 249044797, 399140601, 65201479, 209336069, 111255306, 660260001, 546801143, 52996557, 704471094, ( -1), 167946922, 180307034, 940440405, 782562523, ( -1), ( -1), 571812478, ( -1), 655482947, 660376030, 654437833, ( -1), 614390223, ( -1), 91770237, 428162940, 911230707, 161398758, 936870854, 33885357, 266386808, 366910984, 749876491, 669918725, ( -1), 781959854, ( -1), 867504742, 598075382, 373492859, 836687852, ( -1), 512124390, 145897610, 14122116, 873081065, ( -1), 210240969, 82030734, ( -1), 76565624, ( -1), 453467036, 540691768, 190836464, 547507272, 263436724, 127239589, 717168490, 259060820, 495436466, 329564220, 942949841, 530280611, 781673821, 149500343, 910187941, 9445729, 992629222, 421253651, 684906249, ( -1), 760340207, 427305594, 820494680, 25235296, ( -1), 353697043, 933895169, 757880382, 555469802, 186028120, 406346510, ( -1), 200567478, 891084924, ( -1), 60398021, 708644285, ( -1), 479594893, 389326356, ( -1), 416982103, ( -1), 459511855, ( -1), 518819233, 122307811, 881313514, 279494682, 755891141, 161053740, 205074860, 852241499, 970595737, 224492990, 788583892, ( -1), 257611774, 435500138, ( -1), ( -1), 146502447, ( -1), 370750066, 192431646, ( -1), 266823226, 100857936, 778465666, ( -1), 577698765, 600948683, 155280036, 899348979, ( -1), ( -1), 714631939, ( -1), 216547683, 204051194, ( -1), 497885542, 605365234, 761796180, 118145341, 336730368, 980612614, 730232344, 419755867, 158085932, ( -1), 704742786, ( -1), 908066594, 722042635, 405568105, 884230085, ( -1), 280440580, 693967846, 855179903, ( -1), 208023440, 670546728, 833620364, 540073366, 15050212, 864983723, 381582609, 211721125, 785982284, 798075484, 655165279, 453879207, 209735399, ( -1), ( -1), ( -1), ( -1), 954183813, 294538258, ( -1), ( -1), 561454627, 589662033, 481283784, 953109449, 829102920, ( -1), 166436992, 498884824, 345942529, ( -1), 167089879, 742072371, 127558811, ( -1), 926886829, 124906559, 240288775, 631249538, 819334454, 722891290, ( -1), 399723429, ( -1), 814634924, 203658400, 149395385, 56261016, ( -1), ( -1), ( -1), 922001962, 485065304, 275154449, 829384231, ( -1), ( -1), 588092657, ( -1), ( -1), 284157982, 577208950, 335862931, ( -1), 771474590, ( -1), 949026259, 119261161, 648221152, 412592451, ( -1), 144189321, ( -1), 391777367, 690459953, 156722721, 336552390, 148648467, ( -1), 547763128, ( -1), 630845038, ( -1), 454237623, 995543128, 238315486, 706150612, 419067895, 762655860, 298137758, 504085715, ( -1), 973969510, 349126541, 473322526, ( -1), 172052408, ( -1), ( -1), 565113694, ( -1), 473567323, ( -1), 679183095, 808857520, 262596648, 878517556, 998217799, 849538732, ( -1), ( -1), 960270771, 7652982, 734303002, 625523898, 644902074, 536780581, 213413647, ( -1), 375879154, 731548257, 532263678, ( -1), 416983740, 509515369, 757914780, 612484482, 31764673, 21868933, 860676904, 97571429, 57404107, 215396252, 134582637, 350187587, ( -1), 514949702, ( -1), 650976117, 367164923, 632829893, 611093905, 206804776, 655438571, ( -1), 584140575, ( -1), 227522667, 497500725, 586113193, ( -1), 772087916, 123730877, 506530267, ( -1), 964357771, ( -1), 248657319, ( -1), ( -1), ( -1), ( -1), 996985828, 706067078, 562113600, ( -1), ( -1), 475129795, 479412581, 100288582, ( -1), 792655986, ( -1), 787755620, 269597107, 451871098, 659843945, 661775787, 901792381, ( -1), 812270826, 550563967, 23906609, 606737014, ( -1), 534914861, 28903502, 242639804, 926264429, 405046411, ( -1), 77676977, 655137223, 94160304, 193367741, ( -1), ( -1), ( -1), ( -1), 843461252, 799624571, ( -1), 34772819, 135123240, 409703429, ( -1), ( -1), ( -1), ( -1), ( -1), 81697152, 936964591, ( -1), 355500075, 643197231, 640092038, 9904, 65025626, ( -1), 262691173, ( -1), ( -1), 623031180, 149691067, 142141735, 783789473, ( -1), 37205000, 857127296, 453324746, 806360395, 247483077, 403724441, ( -1), 719628608, ( -1), 807450950, 351582687, 879714737, 167564652, 384774205, ( -1), ( -1), 326190061, ( -1), 501199972, 877456797, ( -1), ( -1), 602848752, 574433984, 778578213, ( -1), ( -1), ( -1), 949108441, 574694815, ( -1), ( -1), ( -1), 918849492, ( -1), 29083887, 568165785, 48419668, 193280306, 996745248, 928858914, ( -1), ( -1), 363175550, ( -1), 875633383, 564535142, 753382253, ( -1), ( -1), 648647519, 534288611, 312658705, ( -1), ( -1), 892481028, 462531680, 866246213, 953525808, 630800721, ( -1), ( -1), ( -1), 8741598, 441585248, ( -1), 666057322, ( -1), ( -1), ( -1), ( -1), ( -1), 553545320, ( -1), 676394364, 910043292, 244181971, 220247385, ( -1), ( -1), 842060831, 636994643, 176765503, ( -1), ( -1), 757893594, 520385573, ( -1), 601730269, 630625054, 817546239, ( -1), 460670087, 704041714, 199650964, ( -1), 655393955, 589704156, ( -1), 220174536, 789775267, 830080657, 508496891, 868867426, 908678203, 450805139, ( -1), 524965497, ( -1), 287132932, 320324216, ( -1), 777013200, 475672975, ( -1), 387460371, 686583993, 278967659, 263844341, ( -1), ( -1), 241249988, 585161659, 166439039, 123836310, 221786545, ( -1), 419450093, ( -1), ( -1), 906247238, 117655745, 578974271, 210631545, 188620386, 534441324, 760761228, 696290546, 999048354, ( -1), 588695465, 318573961, 64423673, ( -1), 786045002, 505323034, 873963795, 498970801, ( -1), ( -1), ( -1), 372497710, 497131936, 511814597, 684711331, 914670573, ( -1), 851531599, 704009930, 269558317, 283379543, 425639789, 273013802, ( -1), 820401208, 102839230, 779816301, ( -1), 89574694, ( -1), ( -1), 19910427, 737461689, 968789511, ( -1), 402799098, 118887508, 261146686, 365903118, ( -1), ( -1), 604111590, 263404155, ( -1), ( -1), 526795884, ( -1), 603817074, 722877398, ( -1), 134574554, 836843427, 632977760, 891722542, ( -1), 444283205, ( -1), ( -1), ( -1), ( -1), ( -1), 111975358, 609976281, ( -1), 93519398, 835717886, 314264505, 68733471, 518766763, 196897827, 896273531, 941867390, 777743431, 862374024, 562934593, ( -1), 544611822, 415785152, 162793220, ( -1), 573703491, ( -1), 42822821, ( -1), ( -1), ( -1), 271552811, 320322079, 701696843, ( -1), 973574018, 815455940, 294324502, ( -1), ( -1), 434033789, 80643518, ( -1), 959306667, ( -1), 898546503, 205359211, ( -1), ( -1), ( -1), 185763866, 980067591, 711604430, ( -1), ( -1), ( -1), ( -1), 746063180, 466891717, ( -1), ( -1), 150734662, ( -1), ( -1), ( -1), 667201332, 977331935, 335916641, ( -1), 732728528, 640322909, 638280912, 799767848, 874588932, 463174871, ( -1), ( -1), 819973240, 626852360, 937940093, ( -1), 362294942, 573148506, ( -1), ( -1), 482968642, 342159393, 755767655, 559723695, 191119038, 445570657, 635784242, ( -1), 311981459, ( -1), 997159559, 246290638, 915605594, ( -1), ( -1), 220504660, 984229730, ( -1), ( -1), 257975323, ( -1), 278371066, 73565341, 116891593, 942013429, ( -1), 409584615, 977148992, 979328132, ( -1), 655675833, 936118194, 879516670, ( -1), 822804330, 994534776, 216992347, 190218169, 316769481, 678749207, 472602098, ( -1), ( -1), ( -1), ( -1), 719087847, ( -1), 474611228, ( -1), ( -1), 278962997, 790678078, ( -1), 390834314, ( -1), ( -1), ( -1), ( -1), 243064779, 85545349, 407663526, 929320196, 977376058, 988584313, ( -1), 933329131, 811394939, 530539492, 318601493, 292381429, 643851328, ( -1), ( -1), ( -1), 96158298, 811616578, 785308550, 309820609, ( -1), 310898033, 796809522, 644938590, 534219673, 981576437, 315481320, 689539327, 274530799, 476694930, ( -1), ( -1), ( -1), 579874511, ( -1), 187132840, 772963427, ( -1), ( -1), ( -1), 293811734, 250575911, 779477003, 73669296, ( -1), 743773087, 64559145, 589706092, 329489668, ( -1), 617667702, 557546875, 264346066, 310966531, 451901775, ( -1), 169015450, 499102406, 960823317, ( -1), 308447029, 60606270, 371322217, 864476051, 609148562, 508670576, 957421344, 631759181, ( -1), 255661506, 176449292, 260465757, ( -1), 888276749, 148643931, 115349036, 951369377, 896378685, 91777572, ( -1), 790496392, 868799463, ( -1), 591001932, ( -1), 51616012, 856356555, ( -1), 71537319, 37780576, 854623976, 510597332, 190853171, ( -1), 870472518, 478202833, 458546432, ( -1), 231167281, 131769293, 837449065, 899202468, 533431448, 623756192, 726253980, 653906275, 719730528, 274794277, 802470131, 400594701, 199419859, ( -1), 956137355, 366447052, 495106144, 471194756, ( -1), 412293426, 791170887, 108551978, 767510801, 932972485, ( -1), 762226661, 685414004, ( -1), 182321148, 160418461, 571088204, 809875041, ( -1), 515284867, 781806676, ( -1), 728824292, 894366220, 817097664, ( -1), 739711570, 374823696, ( -1), ( -1), 797005166, 169541015, 51050196, 224416724, 663765165, 446379984, 218944542, 595928424, 26061714, ( -1), ( -1), 855763231, 114014886, 420497010, 172141130, 861825602, ( -1), 96385175, 170035735, 944658495, 854418785, 560657037, 349618923, 996990469, 380754657, ( -1), ( -1), ( -1), 321452377, 698432131, ( -1), 321512980, 158905482, 328376650, 801580801, 452119279, ( -1), 937325172, 49511360, ( -1), ( -1), ( -1), 41279233, ( -1), 817233038, 517288609, 465903284, 52417477, 741725265, 388316319, ( -1), ( -1), ( -1), ( -1), 835726063, 928012226, 763725663, 63814918, 752204267, 25408697, 77134630, 621929718, 914569464, 950372662, 171833220, ( -1), ( -1), 791654046, 861531156, 750753098, 285959156, ( -1), 221902757, ( -1), ( -1), 164935672, ( -1), 335249268, ( -1), 844045455, 863321479, ( -1), 661425601, 530128374, ( -1), 698289803, 814526191, 477072128, ( -1), 826818655, 7241092, 962650597, ( -1), 807477857, ( -1), 912433126, ( -1), 763007627, 644644863, 545135174, 474668170, ( -1), 206059167, 704117977, 393095942, 345877396, 249668724, 66382443, 36841195, 583872351, 941874792, 258528126, 293473795, 350621588, 284637913, 387386759, 174785423, 957981362, ( -1), 883506608, 636329107, 512615370, 62627918, 857601496, ( -1), ( -1), ( -1), 279758625, 79161463, 606099905, 375962233, ( -1), ( -1), 669759757, 86516299, 169717400, 661508396, 630178663, 520287174, 966497472, 362857092, 997283748, 660251868, ( -1), ( -1), 572267959, 515206503, ( -1), 747339783, 897539508, ( -1), 438307812, 289058936, 72211348, 389213211, ( -1), 420595413, 632644829, ( -1), 721622918, 539175126, ( -1), 602197560, 325427171, 987483723, 59457148, 24367114, 430607163, 669794595, ( -1), ( -1), ( -1), 497954881, 3286348, 90070262, 149129309, 729462180, 875853994, ( -1), 373245263, ( -1), ( -1), 851771259, 653782212, 66890522, 339503374, 710779745, 853742735, 324515028, ( -1), ( -1), 770734633, ( -1), 294354672, 529315882, 854816893, ( -1), ( -1), ( -1), ( -1), ( -1), 874542990, 288674289, ( -1), 770940194, 820593866, ( -1), 904266285, 688673453, 463812315, ( -1), ( -1), 281397273, 934928426, ( -1), 856136543, 306071067, 401916679, 726897066, 852633390, 2212773, ( -1), ( -1), 545217518, 726897114, 731482662, ( -1), 76154204, ( -1), 711263554, ( -1), 309843588, 127418995, 399027423, ( -1), 747173571, 119775387, 715004522, 86658586, 969767041, ( -1), 104115177, 874046947, ( -1), 252283393, ( -1), 645500204, 18449651, 595530939, 970376856, ( -1), 66946631, ( -1), ( -1), 814204190, ( -1), ( -1), 367493288, ( -1), 495575155, ( -1), 968426471, 430580999, 607894093, 37622067, 811538859, 854782328, 912724250, 594643861, ( -1), ( -1), ( -1), 760111192, ( -1), 623001343, 496338045, 89932939, ( -1), ( -1), 110377243, 326385119, 997903401, 171434102, 307447649, 463135581, 66139068, ( -1), ( -1), ( -1), 355828342, 431303389, 240298863, 986531624, 510802117, ( -1), ( -1), ( -1), 634368435, 778643397, ( -1), 457314905, 838267498, 610155792, ( -1), 585257988, 147088212, ( -1), ( -1), 118277093, 163794576, 494758080, ( -1), 456588562, 889009014, 167453451, 113203608, 523327298, 65939491, ( -1), ( -1), ( -1), ( -1), 813876135, ( -1), 435215416, 804256985, 252413007, 828742553, ( -1), 887994335, 552905468, 88481307, ( -1), 697256233, 653699742, 319369220, 705824492, 37390881, ( -1), 158821745, ( -1), 434871631, 45196576, 315521373, ( -1), 92458896, 778645830, 587611453, 987202445, ( -1), ( -1), ( -1), ( -1), 447008305, 887187631, 931698561, ( -1), ( -1), 820647998, 466604615, 668173997, 520032566, 939885750, ( -1), 771040709, 42147093, 575200044, 838051589, 795172204, 125901850, 436675871, 701796929, ( -1), 306162353, ( -1), 936242162, 733066806, 508320269, 850693964, ( -1), 734808232, 358400668, 478798341, ( -1), 314265365, 530636681, ( -1), 561553962, ( -1), 898920813, 388401530, 965704437, 158190723, 608986352, 631928457, 601084763, 719856570, 880490213, ( -1), ( -1), 243411898, 378994029, 329318077, 993079580, 875639385, ( -1), 870598761, ( -1), 400287704, 209043436, ( -1), ( -1), 755188479, 694184935, 123548862, 191991681, 172182141, 764336950, 891741648, 945431217, 416316505, ( -1), 540613298, ( -1), ( -1), 471238054, 457536032, ( -1), ( -1), 451354571, 248496765, 978672465, 21564553, 631605636, 848351357, 92121573, 639970647, 45427441, 419456379, 799950032, 240081409, ( -1), 285845121, 471122528, 266115104, ( -1), 517700756, 340786991, 828245793, 125773972, ( -1), 165271493, ( -1), ( -1), 964114552, 847502588, 651048188, 909287080, 554390579, 179038141, 319813288, ( -1), 32902396, 884508555, ( -1), 848298985, 329703568, 29518398, 810212089, 341841496, 762406, 874752028, 528490395, 639460925, 577577688, 593842228, 694105973, 519190909, 362724039, 814389877, 470838829, 34034166, 479852135, 507352596, 230146463, 249696740, 284765583, 339000136, 378015353, 341463247, 466281773, 400532257, 253101333, 157290611, ( -1), ( -1), ( -1), 823095953, 803636344, 124223920, 127581282, 185445094, 521939119, 194091780, ( -1), 484925352, 751740443, 125080655, 915062812, 536477723, ( -1), 235508981, 154500857, ( -1), 175598890, 320266391, ( -1), ( -1), 914211106, 247538616, 170410349, 237772558, 674069970, 975962675, 371447213, 823728675, 986182120, 600038712, ( -1), ( -1), ( -1), 953025143, 117495845, 805775688, ( -1), 936601208, ( -1), ( -1), 599511714, 347817030, 506168629, 129972831, ( -1), 406371598, ( -1), 70355484, 397940321, ( -1), 975817191, 702900379, 198564124, 354026515, ( -1), 286382689, 444125726, 689585128, 101248436, 302118725, 111825030, ( -1), 529270394, ( -1), 209339724, 785461554, 393187513, ( -1), ( -1), 858766172, 284689706, 203310420, 662579610, 755916459, 658810012, 524658891, 347913921, 966675405, 681932175, 25746628, ( -1), ( -1), ( -1), 396748035, 859044129, ( -1), 991104902, ( -1), 896952179, 415049057, 335593384, 504533560, 910177993, 113613414, 64994456, ( -1), 14810114, 43523576, 319794615, ( -1), 99653072, 781767022, 168485125, ( -1), ( -1), 943843756, ( -1), 637270978, 568343554, 964977979, ( -1), 799244579, 351670590, 794961296, 274287051, ( -1), 871120096, ( -1), 365984930, ( -1), 498065525, 662044802, 138164107, 948832928, 447950260, 626307271, 463459251, 113895241, 377720293, 447633493, 741001738, 16033023, ( -1), 605228703, ( -1), 488178519, 436775136, 879201808, 636909036, 608979464, 784367210, 863485662, 191128383, 345815222, 721793273, ( -1), 586070351, 302507166, ( -1), 39442680, ( -1), ( -1), ( -1), 570809174, 169556577, 942567685, 162602495, 232797504, 247408680, ( -1), ( -1), 909325390, 453976893, ( -1), 956252985, 46775312, ( -1), 217403806, 82203777, 689973612, 471339216, 829967471, ( -1), 967958949, 634798567, ( -1), ( -1), ( -1), 950630453, 737109008, 667356534, 204025266, ( -1), 49996489, 739664638, 341544581, 525850991, 732061150, 938094798, 1791961, 623369922, 869409232, 988437506, ( -1), ( -1), 536088104, ( -1), 360670952, 345658519, ( -1), 47303418, ( -1), 351701981, 921070304, 396666417, ( -1), 164842801, 226995200, 390126573, 341630315, ( -1), ( -1), 766125404, 145825416, ( -1), 694435091, ( -1), ( -1), 505555681, 732399763, 70181168, 13866548, ( -1), ( -1), 926513490, ( -1), 238352065, 980653218, 184406574, 77018226, 194971865, 438909926, 813445877, 824977277, 565353433, 178974590, ( -1), 674513747, 233437868, 560713691, 438327081, ( -1), 339891192, 775187135, ( -1), 508163413, 562692423, 954899104, ( -1), 65141641, 787847328, 13543544, ( -1), ( -1), 560507111, 385331862, 968459408, 932316476, 112596387, 866130843, 890046639, 593370097, 312034063, ( -1), 172852742, 231723768, 802040087, ( -1), 135625537, ( -1), 437842051, 661468974, 796471765, 887596965, ( -1), 648007411, 808487192, 521031152, 554376592, 676562924, ( -1), ( -1), 783521393, 248258048, 125243461, 987233002, 748144531, 849883053, 752423704, 539331605, 849044935, 941172280, 955442887, 222335666, 571702589, 300043248, 190554394, ( -1), 803256357, 574933634, ( -1), 892110683, ( -1), ( -1), 830183555, 868916792, ( -1), ( -1), 62515755, 314052945, 816428210, ( -1), 462412031, 233521925, 924307341, 427769562, 423680364, 111505628, 52275807, ( -1), ( -1), ( -1), ( -1), 880570012, 438122533, ( -1), 255105182, 256454004, 715960630, 37660927, 96491051, ( -1), 988970152, ( -1), ( -1), ( -1), ( -1), 485213782, 675325633, 383157514, 136784715, ( -1), 602440493, 627089381, 632475936, ( -1), 906271074, 691142330, 24820875, 452997104, 380414015, 314104256, 956589356, 551376961, 255422656, 781146546, 428764704, 882678736, 753322650, ( -1), 232033420, ( -1), 764919824, ( -1), 956774368, 398424577, 767772689, 787999934, ( -1), ( -1), 741951628, ( -1), 315706719, 394646787, 825528423, 935595213, 361537850, ( -1), 663683609, 504236140, 39027616, ( -1), 865847964, 797915105, 421115035, 667483417, 392219108, 216674876, 103467745, 952427082, 832719112, 892326115, ( -1), ( -1), 834071487, 279633107, 529092817, 986182040, 482922756, 742018660, 98335991, 632799622, 167516238, ( -1), 753234811, 23681527, ( -1), ( -1), 514013026, ( -1), 879336519, 870968749, 298112911, 333393458, 813231864, 493321568, 61582266, 587465736, 566280527, 382483437, 847131570, ( -1), ( -1), ( -1), 966442725, 619483357, 849901889, ( -1), ( -1), 646449753, 243943082, 368142613, 878480209, ( -1), ( -1), 979256846, 953888461, 357806679, 416183281, 144273751, ( -1), 656493304, ( -1), ( -1), ( -1), 188439542, 9930992, 274040958, ( -1), ( -1), 780628102, 35571613, 376471020, 562140976, ( -1), 864845121, ( -1), 686147297, ( -1), 52983625, 978312908, 710093360, 733658745, 379665863, 154929564, 174686272, 74557868, 626837544, 273427907, 6945991, 282041793, 645025191, 348277420, 524756336, ( -1), 694738930, 695075725, ( -1), 518901592, 71640457, 83823528, 157094121, 457996692, 893805769, 145365591, ( -1), 266173408, ( -1), ( -1), ( -1), ( -1), 517557297, ( -1), 724347667, 606317716, 388941452, 560843396, ( -1), ( -1), 521773185, 193860774, 897256731, 604940978, ( -1), 653358836, 914099279, ( -1), ( -1), 391171447, 581034773, 834218304, 68569190, 145211204, 712193939, 155119954, 306749302, 358769292, 158654277, 763822051, 547220985, 137550986, 176306274, 104377185, ( -1), 948912543, 609170084, 488073715, 672587344, 877798609, 706398192, 286563973, 689767813, ( -1), 732457051, 581059583, 273268819, 232184017, 899666505, 255162472, 329481414, 186652098, 860446657, ( -1), 447263543, 887786391, 64810505, 673413286, 288639431, ( -1), 890315172, 7995562, 560216667, 465111381, 586655706, 865494416, 273064501, 125317010, 386689203, ( -1), 685731047, ( -1), 170716017, ( -1), 673209476, 915583781, ( -1), ( -1), 197474091, ( -1), ( -1), 218376212, 302469249, 282860603, ( -1), 900956022, 730012855, 736347328, 373708740, ( -1), 900776097, 161471567, 26187849, ( -1), ( -1), 73666722, 342452424, ( -1), 786564903, ( -1), 161483322, 309165043, 947781394, 505486181, ( -1), 357650841, 927675819, 241612475, 796162730, 943592711, ( -1), ( -1), ( -1), 985988809, 437131376, ( -1), 690511, 476971206, ( -1), 416900442, 661279165, 137747558, 303436602, ( -1), 151220699, 427800591, 967359432, 776069839, ( -1), 211416435, ( -1), 618815585, ( -1), 507728890, ( -1), 24608350, 370909787, 128665964, ( -1), ( -1), 83691903, 363668772, ( -1), 852802508, ( -1), 964996238, ( -1), 182145470, 186263482, 28491388, 426885979, 316825670, 451612459, 593915630, 693749750, 19661366, 729550427, 700494869, 959125066, 868196978, 392346158, 540182779, ( -1), ( -1), 505635358, 153155688, 627712510, ( -1), 196728412, 178346863, ( -1), ( -1), ( -1), 299265915, ( -1), 627327385, 318394536, 867849101, ( -1), 237977989, 727187629, ( -1), ( -1), 796368957, 598219950, ( -1), ( -1), 650262660, ( -1), 743315525, 335244228, 349231323, ( -1), 86944367, 102462515, ( -1), 770576575, 276260713, 262071455, ( -1), 891394653, 393006130, 930207251, ( -1), 228794409, 163470345, ( -1), 743499149, 15154130, 625366334, ( -1), 391275915, ( -1), 660028940, 124263315, ( -1), 519807573, 478850794, 572479339, ( -1), ( -1), 89973686, 978351830, ( -1), ( -1), ( -1), 701334152, 666937160, 512261328, 815398839, ( -1), ( -1), 345531913, ( -1), ( -1), 170584782, ( -1), 48467991, 756647240, 934612044, 644468447, 124487562, ( -1), 881655824, ( -1), ( -1), ( -1), 612274859, 413743216, 696131397, 776590728, 791369964, 356474763, 765651045, 998789926, 995572752, 791925853, 226872382, 661930879, 214693216, 289525637, 532465351, 917667554, 86394294, 749030465, 607348663, ( -1), ( -1), 487272434, ( -1), 455401885, 358347599, ( -1), 306065867, ( -1), 346535083, 981845044, ( -1), 911689669, 795265201, ( -1), 474684536, ( -1), 889564071, 975786473, ( -1), ( -1), 80380, 31330019, ( -1), 97610133, ( -1), 617971635, 106522837, 946495285, 938205078, 119822111, 960774462, 916513962, 152778217, ( -1), ( -1), ( -1), 574864918, 475863557, 385050953, ( -1), 659523470, 140646537, 955833748, 387312339, 246756996, 183476592, 419571748, 2476822, 272316903, 474812266, 546498456, 331988321, ( -1), ( -1), 50561535, 334371376, ( -1), 560673643, ( -1), 753038884, ( -1), ( -1), 795734681, 194992471, 197663037, 981880307, ( -1), 914268360, 160313434, 688534061, 835622291, 309269955, 714091600, ( -1), ( -1), 828707530, 803928628, 486087297, 806738596, 533998750, 176289274, 956365691, ( -1), 593700782, 852630990, 103158285, ( -1), ( -1), 42465462, 92373302, 644164467, 125273834, 927093368, 45005549, 620628000, 495453096, ( -1), 449060565, 122357456, 798748639, 967960058, ( -1), 287579089, 981952254, 52201039, 101026567, 231493924, ( -1), ( -1), 364302386, 121354130, 640825399, 171836680, 945817442, ( -1), 281059725, 929902803, ( -1), 427861575, 434417037, 54602447, 801304807, ( -1), ( -1), 567630102, 636339136, ( -1), ( -1), 297936140, 128572589, ( -1), ( -1), 66878365, 237842053, 36982945, ( -1), ( -1), ( -1), 80345970, ( -1), ( -1), 550823460, 227697591, 574565380, 160401683, ( -1), ( -1), 851001567, 622936345, 295968780, 180943635, 832510421, 451093442, 590862058, 772044327, 246114472, 502038628, 369662414, 764299161, 50687424, 194535244, 173968170, 485591566, 114003446, ( -1), 668833495, 865391151, ( -1), ( -1), 56171374, 162604196, ( -1), ( -1), ( -1), 344273105, 11250931, 991840041, 686476106, ( -1), 691379248, ( -1), 635955406, 499555520, 484611676, 650777020, ( -1), 742432812, 871018806, 174380896, 311461760, 497087630, 243985105, 289998698, 644318640, 614415621, 732493607, 211189454, 108737424, 970036290, ( -1), 884351131, 866948105, ( -1), 828885703, 454090055, ( -1), 630912454, 787632906, ( -1), 67400607, ( -1), 492960869, 290635168, 759584939, 549552227, 49800006, 800374163, 690750612, ( -1), 121363724, ( -1), ( -1), 875259819, 553297092, ( -1), 751350752, 665778863, 951452055, ( -1), 348558148, 870909062, ( -1), 668455785, 863421278, 138102712, 106306703, 220260320, ( -1), 843165859, ( -1), 981158007, 192587092, ( -1), 387641651, 746292667, ( -1), 700597616, 705047765, 786448521, 505586, 436292871, 751033405, ( -1), 765913818, 844088989, 485295659, ( -1), ( -1), 92089461, 790553610, ( -1), ( -1), 861438266, 499401507, 669857060, 618608668, 981358942, 544070240, ( -1), 909587129, ( -1), 231549255, 649764467, 634946499, 260136849, ( -1), ( -1), 957367748, 898831561, ( -1), 210889247, 690679315, ( -1), 253739080, 444103403, 695096705, 575137357, ( -1), 225465755, 984907053, 477884465, 819278819, 462998119, 166834107, 214367602, ( -1), 78772811, ( -1), 562444783, 175034608, ( -1), 320268666, 645074539, 156784009, ( -1), 807786667, ( -1), 39785258, 501385294, 128250734, ( -1), 659537883, ( -1), 37746892, ( -1), ( -1), 339478545, 985045329, 835871870, 549333067, 312527957, 409622935, 639901696, ( -1), 644752360, 549085970, 532290721, ( -1), ( -1), 871964078, 996207043, 846163715, ( -1), 772832563, 613096735, 435203737, 378192928, 347506833, ( -1), 303323503, ( -1), 392774219, ( -1), 784851242, ( -1), 445042911, ( -1), 516340040, 621128977, ( -1), 484403861, ( -1), 773276989, 5112849, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 969290450, ( -1), 924494427, 335721881, 37217213, 324492238, 640954074, 768496914, 984144737, ( -1), ( -1), 544582829, 611541219, 478548279, 935308694, ( -1), 344956079, 790647133, 727889321, 426077523, 797699951, 940355773, 139919875, ( -1), 880109902, 367619686, 852853465, 638825635, 769325734, 184105289, 528390156, 399565937, 787145027, 278215186, 155016555, ( -1), 511775059, 114997931, ( -1), ( -1), ( -1), 524307112, 500416880, ( -1), 777734941, 664074025, ( -1), ( -1), 43923745, 382237774, 550885685, ( -1), ( -1), 666779390, 818296937, 144941536, 450797870, 58927050, 735211975, 643508808, 527937192, 929344517, 111761184, 79449860, 568528184, ( -1), 382913398, 890986226, 216485030, ( -1), ( -1), 661126253, 419860009, 711368229, 784195165, ( -1), 780134010, ( -1), 483343493, ( -1), 188867382, 168637035, ( -1), 585728964, 6249062, 16227374, ( -1), 669095860, 719758135, 830263767, 250479601, 701247557, 680390290, 74470802, 122513627, 268146496, 333067893, 233386789, 774239662, 853012348, ( -1), 485353399, 428720068, 428724084, 226655290, 996184829, 518060552, 743744431, ( -1), ( -1), 313506274, 301521432, 269221220, 623848169, 874906202, 726116973, ( -1), 243874139, 418516596, ( -1), 885238514, 254481778, ( -1), ( -1), ( -1), 741682013, 588462955, 491841977, 83805899, ( -1), ( -1), 101470013, ( -1), 132143937, 826988024, 229037998, 588549781, 917484066, 771462165, 845457195, ( -1), ( -1), 143608951, ( -1), 644639714, 708264405, 724557572, ( -1), ( -1), ( -1), ( -1), 223466179, 656285082, 977904080, ( -1), ( -1), 987359701, 122780039, 874519441, ( -1), 631304016, ( -1), 918115313, ( -1), 310498966, 852410478, ( -1), ( -1), ( -1), 103923056, ( -1), ( -1), 843395495, ( -1), ( -1), 905061136, 204415560, 588107986, ( -1), ( -1), ( -1), ( -1), ( -1), 639674530, ( -1), 937984819, 936029163, 3299792, ( -1), 789886611, 451675799, 580801112, 143146242, 986026819, 772407159, ( -1), 160874676, 976126, ( -1), 315329203, 456831917, 259083542, 799591089, ( -1), 553880025, ( -1), ( -1), 375535234, 81141988, 735745762, ( -1), ( -1), 442501680, ( -1), 603645092, 39892925, ( -1), 506385787, ( -1), ( -1), 336446925, 589646332, 257515119, 520992445, 224620471, 607285188, 416843086, 13946669, 166637613, 398484161, 542249879, 586824163, ( -1), ( -1), ( -1), 167232279, 845779618, 326833366, 240403078, 173825069, 148094943, 339064904, 877791107, ( -1), 585590634, 439981649, 185708952, ( -1), 104630670, 225431317, 950842869, ( -1), ( -1), 686842330, 590637058, 587924300, 428667241, ( -1), 911622858, 375248695, 385054456, 581758286, 465544211, 750166118, 521656644, 557586740, 577141787, 631716930, 899085734, ( -1), 28701169, 174182626, 113740559, 128151112, 836280204, 282444490, 39203864, ( -1), 824220046, 908761534, 741308040, 587827148, 782861096, 90852414, 719483938, 495205511, 686625252, 652819758, 725135457, 459095783, 164685241, 42297701, ( -1), ( -1), 330998631, ( -1), 266806863, ( -1), ( -1), 318344667, ( -1), ( -1), 989910446, 364635758, 741628341, 653273840, 504850148, 354136560, 890311346, 3121600, 77466013, ( -1), 840926282, 240374718, 442020099, ( -1), 622250429, 490639633, 823220713, ( -1), 52031979, 695604715, 215554192, ( -1), 322533031, 187813291, 89190303, 46260810, ( -1), 60970969, 918192856, 328383368, 104419904, 726486545, 557209580, 705744094, 811493324, 437299645, ( -1), 9172061, 15505287, ( -1), 72821446, 698888723, 574865052, 708445490, ( -1), 140231149, 778717958, 519518991, 895627146, 858067689, ( -1), 527822391, 278338885, 281227562, 586341432, 464771335, 401379365, ( -1), 225460533, 82946860, 695238620, 948672643, 937971931, ( -1), 440345744, 854406845, 795191945, ( -1), 697881976, 195139168, 809456229, ( -1), 729937316, 777456385, 164643025, ( -1), ( -1), 766595375, 462665520, 53808307, 485562421, 413192254, 993980234, ( -1), ( -1), 921702767, 48000035, ( -1), 626414186, 203030666, ( -1), 742385536, 36466442, 794316908, ( -1), 559750169, 938324233, 955668628, 627128632, ( -1), 310702606, 906934303, 423172764, ( -1), 362246705, 738791376, ( -1), ( -1), ( -1), 441661038, ( -1), 732487700, ( -1), 751657086, 67891629, 606733491, 884689317, 351130828, 882511558, ( -1), ( -1), 793882379, 941128867, ( -1), ( -1), ( -1), 727766527, ( -1), ( -1), 93187909, 466944295, 503326920, 186945585, ( -1), ( -1), 965945210, 73966881, ( -1), 254377189, ( -1), ( -1), 830107180, 961930782, 34713131, 321680935, 29070615, 607325292, 581910416, 886772177, 597710588, 724208707, 174043747, ( -1), 814651118, 377291306, ( -1), 434565624, 337479720, 851843334, 120406129, 707450651, 551331275, 715673201, 776001097, ( -1), ( -1), 366791685, 537022437, 630199097, 687335751, 732520222, 675060868, 290359131, ( -1), 156030535, 920774179, 886539242, 218857879, 440930633, 144401961, 957440133, 546773144, 792386076, 616771501, ( -1), 275207581, 765730579, 329374275, 911804828, ( -1), ( -1), ( -1), 280983092, 155929729, 993547676, 469278547, ( -1), 822046055, 521404735, 184989649, 705445979, ( -1), 845129819, 316730656, ( -1), 853099507, 763469943, 124722642, ( -1), 920621230, 166095376, 580522359, ( -1), 664156810, ( -1), 705105691, ( -1), ( -1), ( -1), 976777899, ( -1), 264979187, 14426674, 612580288, ( -1), ( -1), 850896094, ( -1), 577410300, ( -1), 273425405, 175424577, 195727595, 37081816, 138533244, 970810417, 749367246, 398522301, 131744909, 448794701, 188054714, 989192533, 671433324, 744797965, 817492576, ( -1), 468499331, 493465610, 866116828, ( -1), 442306439, ( -1), 166082531, 207622916, 931713347, 125351446, 263006431, ( -1), 986766484, ( -1), ( -1), ( -1), 532382369, 585352924, 64031089, 444457024, 871469121, 449028174, 661109905, 613141353, 385645744, 484541023, 637721140, 262705087, ( -1), ( -1), 875935543, 875738191, ( -1), ( -1), 916770052, 365849690, 466551405, 879441454, 160139740, ( -1), ( -1), 942765380, ( -1), 605979149, 564473059, 114499390, ( -1), 965167922, 719657226, 100376835, ( -1), 473376303, ( -1), ( -1), 892300214, 122729049, ( -1), 61082716, 217192332, 214934726, ( -1), 647895296, ( -1), 337118149, 803921966, ( -1), 168609325, 452637737, 835146613, ( -1), 495442380, 319079401, 761188544, ( -1), 662816266, 661150314, ( -1), 975832048, 265596113, 438725201, ( -1), 922380934, 951732644, 91037629, ( -1), 154768828, ( -1), ( -1), ( -1), 673925813, 929693696, 596000525, 153063241, 802691608, ( -1), ( -1), 566530286, ( -1), 411591758, 636054568, 597741166, ( -1), 379951830, ( -1), 552465697, ( -1), 388736943, 486456639, ( -1), 325896255, ( -1), 63108709, 670566064, ( -1), 943127273, ( -1), 763910199, ( -1), 195229122, 323056709, 224583131, ( -1), 344283932, ( -1), 638396794, 430453431, 32119843, 904252044, 219359740, ( -1), ( -1), ( -1), ( -1), 362742491, ( -1), 578936831, ( -1), 433241877, 629544834, 16055635, 213588902, ( -1), 574045832, 430599228, ( -1), 930064262, ( -1), 557979107, 670961546, 772439853, 870746000, 514309568, ( -1), 167129221, ( -1), 384091420, 620164057, 277236439, 155932233, ( -1), 414727778, ( -1), 416940521, ( -1), 278648714, 161096980, ( -1), 73055737, 642823773, 381332497, ( -1), 418754199, 989645216, 978194121, 70989105, ( -1), 16298905, ( -1), 891322101, 654696977, ( -1), 393648601, 608735298, ( -1), 421192748, ( -1), 424739686, 808028586, ( -1), 129889429, 352591547, 844507406, ( -1), ( -1), 408725040, 500988774, ( -1), ( -1), 912626252, 15715925, 892317308, 860710128, 839719459, ( -1), 912870053, ( -1), ( -1), 736464433, 902366627, 771313228, 228407975, 799608506, 687858478, 861561207, ( -1), 207487471, 530727858, 328936622, 465161957, ( -1), 628304561, 255993098, ( -1), ( -1), 294003930, 748709909, 126504335, 897034330, 89650706, 362877696, 291566075, 558975848, ( -1), ( -1), 5251077, 837176201, 335008538, 811273908, 295722153, 773390039, ( -1), 501566755, ( -1), 957026510, 626836614, 540992422, 443687604, 55097892, 104498070, ( -1), 373695908, 583055490, 322627594, ( -1), ( -1), 445382698, 507651023, 96866140, 19257816, ( -1), 832665290, ( -1), 969445747, 895638203, 336438302, 114186267, 795675605, 77904234, 737671060, 788555187, 301572109, 211694750, 230748055, ( -1), ( -1), ( -1), ( -1), 723793810, 719449356, 508367242, 559258811, 377758091, 573000906, 581413433, ( -1), 925309535, ( -1), 218866954, ( -1), 526919535, ( -1), ( -1), 633289327, ( -1), 939574838, 329992260, 520293227, 837687506, 228756124, 723656943, ( -1), ( -1), 372041394, 541931058, 275621107, ( -1), ( -1), 767913114, ( -1), ( -1), ( -1), 836682422, 318617690, ( -1), 13258746, 159011148, ( -1), ( -1), 873894713, ( -1), 153245533, 764166153, 985569256, 489722283, ( -1), 14248741, 161716888, 477590144, ( -1), 525395094, 834479917, 729984243, 688860030, 18434404, 437870914, 960615348, ( -1), 477961624, 973851240, 162905838, ( -1), 682787179, 945342772, ( -1), 254239540, 272817394, 668411608, 724475967, 195359823, 237384854, 941747816, 559430765, 223043695, ( -1), ( -1), ( -1), 356206278, 897604615, 209843265, 97915857, ( -1), 27275271, ( -1), ( -1), 38115602, 847606442, ( -1), ( -1), 151889364, ( -1), ( -1), 979907161, 416975359, ( -1), 870302499, 241433073, 106911228, 232526842, 427891443, 138327728, 148042436, ( -1), 846945784, 732365607, ( -1), ( -1), 946922751, 951376410, ( -1), 990809694, 566097368, 577700136, ( -1), 858018772, 876767646, 186931664, 523582194, ( -1), 134156835, 540931353, 159550305, 218406736, 847551589, 628131358, 288174161, 245368978, ( -1), 298473218, ( -1), 371683815, 80181949, 1614780, 31239184, 567787356, ( -1), 73447751, 217134842, 894750258, 877570986, ( -1), 226154574, 488929542, 937458496, 30483882, 227508977, 106569748, 518567315, ( -1), 173113860, 303711918, 52037149, 275484030, 749401532, 711295557, 436292885, 536284461, ( -1), 87403585, 594158135, ( -1), 177288224, 775327783, 232560791, 830501350, 247950127, 49883790, 771588693, 699909053, 782473675, 148342167, 944108526, ( -1), 575843985, ( -1), 993257180, ( -1), 343080171, 245324213, 806679022, 645681435, ( -1), 599839462, ( -1), 5028728, 384565743, ( -1), 57136891, ( -1), 957971755, ( -1), ( -1), 398147472, 973624436, ( -1), 475539035, 383156913, 314942992, 95765343, 521257872, 573927744, ( -1), 506227415, 481595283, 485523324, 916620833, 603445786, ( -1), 546008674, 950129624, 949912015, 217913468, ( -1), 823283868, 141211293, 785115952, 253074902, 942440728, 669193563, ( -1), 55657285, 254728186, 342055951, 710841386, 798102370, 678716747, 648600465, 441859316, 135968104, 474514350, ( -1), ( -1), 636219968, 822494910, ( -1), ( -1), 351555776, ( -1), 347016109, 604593387, ( -1), 786455894, 301731522, 856822266, ( -1), 798103593, ( -1), 152333739, 861261501, 585398805, 897090632, 397556217, ( -1), ( -1), ( -1), 581446230, 576493525, ( -1), 396665932, ( -1), 706195807, 785972581, 827933420, 804969078, ( -1), ( -1), 247327099, 295476772, 270683056, 695907141, 630863844, ( -1), ( -1), 899451786, ( -1), 654728871, 407229209, 285167551, 1961017, 559568055, 754414823, 192168929, 19827712, 910820121, ( -1), 651570649, 154883017, 877975870, 455084740, ( -1), ( -1), 421075799, 776789451, 354177488, 624110070, 592787742, 978332873, 562534952, 97532841, ( -1), ( -1), ( -1), 232125221, 576558343, 604198436, 474727723, ( -1), 861107913, 228351889, 337479256, 685850373, 756910822, 967561140, 267847925, ( -1), ( -1), ( -1), ( -1), 961797336, 653354891, 467811809, 724796893, 70337966, ( -1), 371262847, ( -1), ( -1), 819180502, ( -1), ( -1), ( -1), 593081386, 221739877, 555784447, 710859942, 306283504, 73152218, 48385134, 317864451, 436666067, 208643325, 737350762, 126437048, ( -1), ( -1), 953528249, 151952703, ( -1), 418540297, 86496253, 14193858, 223899971, 639487235, ( -1), ( -1), ( -1), 216654728, 34498424, 85655904, 780858152, ( -1), ( -1), 142163828, ( -1), 18618457, 477027384, ( -1), 513686684, 906924444, 539187338, ( -1), ( -1), 366961415, ( -1), 2207746, 656372483, 716644563, ( -1), 473762596, ( -1), 291829803, 11828655, 899766550, 120822801, 602830759, ( -1), 58562445, 877490500, ( -1), ( -1), 609944954, 831954196, 59095181, 397254090, ( -1), ( -1), ( -1), 389456800, ( -1), 137188461, 42423253, ( -1), 579653268, ( -1), 589016936, 52108254, 750310970, 705580280, ( -1), ( -1), ( -1), ( -1), 819373946, ( -1), ( -1), 144846448, 675048682, 36902185, 353636886, ( -1), ( -1), 392489342, 196503678, ( -1), 50145479, 490411120, ( -1), ( -1), 255069367, ( -1), 403236586, 989049396, 327958869, 65415651, ( -1), 945682386, 791011979, ( -1), 131745000, 690882015, ( -1), ( -1), 93619964, 899302451, 425734325, 673622492, 513876064, ( -1), ( -1), 995106587, 360209141, 929000835, ( -1), ( -1), 265979103, ( -1), 669609809, 611438122, 200497723, ( -1), 616281628, ( -1), 361449914, 999240503, ( -1), 553109769, 115391696, 969862544, 965846107, ( -1), 985994410, ( -1), 700170331, 956715284, ( -1), 387835269, 564073927, 483326481, 485768718, 280731277, ( -1), 462201341, 351199776, 954166062, 380515454, 985148503, ( -1), ( -1), 797447775, 473560362, ( -1), 438574533, ( -1), 103246364, ( -1), 870258129, ( -1), 571077937, 154412897, 831452639, 60367469, ( -1), 968070096, ( -1), ( -1), ( -1), 321383133, 812833018, 832898457, 419397979, ( -1), ( -1), ( -1), ( -1), 90729775, 300859025, 149547442, ( -1), ( -1), 60875492, 877789064, 603823701, 100957041, 468009631, 648810495, ( -1), 971096119, 512065529, 275812010, 404166031, 594805365, ( -1), 148789674, 790218716, 760191331, 147051210, ( -1), 498349671, 868696052, 600068683, 585131470, 298166903, 348602596, 400050102, ( -1), ( -1), ( -1), 763030570, 728220716, 517245592, 126555415, ( -1), 221388256, ( -1), 378181444, 513000952, 134405356, 832354132, 586712906, 711940286, ( -1), 914464967, ( -1), 261933534, 68303670, 530641096, ( -1), 3077023, ( -1), 177775313, 634434169, 534883192, ( -1), 605284516, 104722384, 175271206, ( -1), 799578747, 605166272, 84439809, 554596343, ( -1), 535452629, 990788570, ( -1), 514836270, 861429890, 998371273, 937359682, ( -1), ( -1), 847327638, 475719003, 672500591, 477465654, 559316865, 24138354, 933476896, ( -1), ( -1), ( -1), ( -1), 394576657, ( -1), ( -1), 132769639, 914189664, 940712805, 449314646, 815887194, 934878826, ( -1), 566855263, 52398497, 737289323, 984954517, ( -1), ( -1), 534163208, 341963857, 523408454, 364098984, 357434253, 401035079, 958553184, 143705643, 194663051, ( -1), 573949601, 270334411, 395024173, 607381361, ( -1), ( -1), 181729043, ( -1), ( -1), ( -1), 950958318, 381595254, 330957708, 396654344, ( -1), 174205229, 584300713, 824340527, 251394029, 856219935, ( -1), 14380911, ( -1), 561106941, ( -1), 398999325, 373418019, 457455666, 382501799, 889128206, ( -1), 610198087, 580386542, 680029472, 654959334, 564463303, 984175772, 177134659, ( -1), 171075189, 254417759, ( -1), ( -1), 756948198, ( -1), 338730192, 6437294, ( -1), 345600456, 158895202, 408942358, 505779932, 790942711, 245243568, 538834682, ( -1), 674080790, ( -1), 830435274, 796958576, ( -1), 710189925, 416371211, 156973444, 641649976, ( -1), 231806842, ( -1), 503510183, ( -1), 572848935, 646606093, 55127303, 390396901, ( -1), 304196065, ( -1), 163847164, ( -1), ( -1), 998562835, ( -1), 723388467, 767941069, 881244251, 457989447, 905342035, 579484783, 737573666, 544936434, 212474802, 503734734, ( -1), 68734127, ( -1), 141732055, ( -1), ( -1), ( -1), 36795280, 567399067, 951492314, 455580130, 21058701, ( -1), 345765591, 641894866, 707913404, 375564187, ( -1), 47579750, 501196343, ( -1), 389712618, 768598171, 909245052, 586727246, 456989628, 500251743, ( -1), ( -1), 633788818, ( -1), ( -1), 958586715, ( -1), ( -1), ( -1), 48293527, 522006701, ( -1), 492545773, ( -1), 552473034, 421615469, 809139925, 228356011, 847298204, 868630051, ( -1), ( -1), 466363167, 660789276, ( -1), ( -1), 196359752, 209648359, 448561737, 520781909, ( -1), 642268945, 502291983, 205228694, 581917925, 810367548, 426436877, 239579338, 81582827, 332778471, ( -1), 915648577, 19886357, ( -1), ( -1), 353155893, 263938205, 513278838, ( -1), ( -1), 451778546, 871765852, 31895442, 602392583, 39297258, 247431511, 468685084, 658810993, ( -1), ( -1), 526588737, 708587000, 723855124, 271099725, ( -1), 140025556, 653739002, ( -1), ( -1), 749869328, 373656016, ( -1), 216969568, ( -1), ( -1), 625343036, 772064183, ( -1), 225352569, 646455386, 534829305, 333400355, 851365401, ( -1), ( -1), ( -1), ( -1), 436351446, 505764337, 556364293, ( -1), 444980917, 179599059, 281027767, 811164293, ( -1), 426050513, 762346520, ( -1), 625603263, 84857919, 867301583, 494925681, 199833692, 884538144, 844001800, 228831446, 841685779, 346899114, 358248012, 354157622, 605625160, 373507607, 851683199, 672035362, 745765500, ( -1), 362318645, ( -1), 274107438, 866116063, 435334231, 482257376, ( -1), ( -1), 550662176, 64783800, 155933245, 894457218, ( -1), ( -1), 698696973, 518479649, ( -1), 262330166, 316066786, 86451814, 135132099, 247456021, 306856911, 832675989, ( -1), 701285022, 42346438, ( -1), 663024299, 264128269, 917418346, 434085843, 944186081, 286812101, 840099643, 597229394, 563244065, 217989949, 736028981, 195177862, 441006538, 452602618, ( -1), 280129905, 506021101, ( -1), 288652192, 999837129, 321840410, 907184953, ( -1), ( -1), 151000254, ( -1), 189731191, 417398076, ( -1), 509982531, 309011375, 934639660, 971018691, ( -1), ( -1), 800981416, ( -1), 349695272, ( -1), ( -1), ( -1), 167173700, 963221988, 370263260, ( -1), ( -1), ( -1), 298241308, 46993163, 762131243, 260677963, 416261262, 477387952, 967760837, ( -1), ( -1), ( -1), 94017365, 591358932, ( -1), 582375491, 65155097, 810307837, ( -1), ( -1), ( -1), 484877739, ( -1), ( -1), ( -1), ( -1), 766002638, ( -1), 494403980, 191804275, 465377826, ( -1), 484359999, 636966298, ( -1), ( -1), ( -1), 572600397, 215657614, 259737934, 989752517, 725797682, ( -1), 143200544, 109204242, 191430422, 532829687, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 526525154, 798656474, 625572561, ( -1), ( -1), 50349590, 415983365, 43351078, 996171964, 410627842, 192291032, ( -1), ( -1), 983947699, 182185666, 147172232, ( -1), ( -1), 500533016, 810721726, 916871404, 480467371, 699715773, 415657307, 327104238, 615469359, 101277876, ( -1), ( -1), ( -1), 261960947, ( -1), 287952580, 701222033, 140518942, 396089213, 876206830, 697745101, 578005486, ( -1), 97108946, 715454276, 104390934, 215100609, 103094761, 192781708, 740918665, 345546375, 784319559, 430149130, 996164459, ( -1), ( -1), ( -1), ( -1), ( -1), 870458357, 233842754, ( -1), 450473131, ( -1), 433596013, 985749680, ( -1), ( -1), 325950559, ( -1), 95849053, 123707742, 200876082, 584105591, 121371576, 620157142, 121634653, 59029428, 318283726, 625870454, 657617730, ( -1), 13009050, 314702475, ( -1), ( -1), ( -1), ( -1), ( -1), 776595387, 583054410, 408848687, 259280533, 199058697, 423153396, 829215327, 841395950, ( -1), 509629863, 831169096, 319359010, 828220767, ( -1), ( -1), 903899684, 835357210, 171929872, ( -1), 309667713, 920090648, 695813444, 255475533, 767025716, ( -1), 484686339, ( -1), 923528812, ( -1), ( -1), ( -1), 90772033, 481050558, 466637642, 589674050, 598972808, 660598532, 99041311, 914535681, 554555983, ( -1), ( -1), 72011308, 868049756, 67515452, 545297651, ( -1), ( -1), 102546899, 877933335, 810607419, 20680734, 323325353, ( -1), ( -1), 163041024, 192884986, 858167223, 696647359, 475279008, 637010664, 676691805, 12019995, 150791818, 897912087, ( -1), 838015807, 230309353, 263958179, 678800273, 888528287, 702885115, ( -1), ( -1), 827984151, 778343820, 328789560, 354945179, 784040295, 880727128, 367989204, 550591952, 401176421, 387059350, 577583177, 115584953, 957236637, ( -1), ( -1), 829481052, 796555410, 148946028, 587940769, ( -1), 783878381, 925795820, 662337445, 401298438, ( -1), 910458957, ( -1), ( -1), 724598460, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 199630373, 377457567, 981518255, ( -1), 999190568, ( -1), 446708867, 311518851, 406053203, 948404690, 30925296, ( -1), ( -1), ( -1), 849602756, ( -1), 667787022, 34375274, ( -1), ( -1), ( -1), ( -1), 411590279, ( -1), ( -1), ( -1), ( -1), 908469084, 548187514, 513456819, 788650801, 849259056, 327456471, 270279221, 472355179, 861429321, 563854148, ( -1), ( -1), 72642277, 928087084, 867851280, 284945208, 422298119, 731929793, 43464985, 745151366, ( -1), 351182327, ( -1), 146202941, 25974603, 921403701, 561733440, 897828703, ( -1), 613768312, 189619239, 316028608, 254779137, ( -1), 288368383, 115270040, ( -1), ( -1), 663995884, ( -1), 528971391, ( -1), 294051568, 80076272, ( -1), 483471793, 950320458, ( -1), 93117926, ( -1), 470787464, 832903490, 241922267, ( -1), 46577749, 550831530, 678357009, 726273040, 717818647, ( -1), 338518254, 229490737, 615683324, ( -1), 309468298, ( -1), 587374888, 541526173, ( -1), 1944700, 666871222, ( -1), ( -1), ( -1), 653799831, ( -1), ( -1), 771699241, 929930508, 785966133, ( -1), 760404984, 776851877, 454286398, ( -1), 273759092, ( -1), ( -1), 151552066, 125119400, 983392356, 305664056, ( -1), 783715515, 23590021, 379578781, 840699795, 848317165, 582654135, 428527709, 875847717, ( -1), ( -1), ( -1), 580900496, 529699177, ( -1), 402257521, 174469512, 212790948, 65767724, 153195490, 302356512, 361002031, ( -1), 912183390, 765770490, 271052169, 826948293, 434585798, 17512607, ( -1), 573606181, 580601980, 413103296, 914865897, 896900503, 566445128, ( -1), ( -1), 664587976, 710439415, 538287720, 519655363, 599196819, 124622913, ( -1), 653198727, 937315633, 378439652, 572086856, 777873650, 953769829, 204656868, ( -1), 318539253, 634120040, ( -1), 853319915, ( -1), ( -1), 77516734, ( -1), ( -1), ( -1), 526319403, 118449102, ( -1), 242161692, 921513837, 663325857, 898618819, ( -1), 868175121, 207505273, ( -1), ( -1), ( -1), 234242693, 991862317, 548112503, ( -1), 823244981, ( -1), ( -1), ( -1), 934925278, 117773204, ( -1), 54136918, ( -1), ( -1), ( -1), ( -1), 66089272, 357779418, 274424919, 153224298, 452425213, 119694172, 169708750, 982349498, 97329593, ( -1), 155130370, 429859982, 436676941, ( -1), 8219018, 809293218, 286414209, ( -1), 360148729, 547550143, ( -1), 558013698, ( -1), ( -1), 456953248, ( -1), ( -1), ( -1), 39039297, 309404350, 632594164, ( -1), ( -1), 112302192, ( -1), 897541251, 542183324, 869745763, ( -1), 656237912, 178790306, ( -1), 342735045, 731290798, 434202312, 661246272, 274390762, 447186726, 221447386, ( -1), 466556896, 432925733, 307576644, 995268245, 744179699, 30113890, ( -1), ( -1), 322207162, ( -1), ( -1), 465445034, 233069398, 935219909, 955076027, ( -1), 543299363, ( -1), 295810653, ( -1), ( -1), 864389167, ( -1), 261355247, 259044575, ( -1), 337623136, ( -1), 868967809, 843011770, 998304484, 961322896, 145695702, ( -1), ( -1), 643502761, 291583265, ( -1), 198070162, 896178547, 806111436, 118043685, 521442325, 104967300, 892652709, 43076483, ( -1), ( -1), 225297837, 948428968, ( -1), 622127285, 390435716, 814412689, 341362818, 43796880, 109462886, ( -1), ( -1), 700532368, 564220496, ( -1), 519120264, ( -1), 185510736, 869476977, 327387112, 711210251, 839334796, 869956065, 937926500, ( -1), 927637510, 221155494, ( -1), 216687835, ( -1), ( -1), 228157447, 558599435, 363843548, 193220308, ( -1), ( -1), 426399092, 749849179, 85105244, 336584988, ( -1), 735281711, ( -1), 765362834, 405743131, 900135829, 129594467, 62177429, 13224731, 602401516, 383391751, 157080987, ( -1), 499096916, 620838970, 346473360, 169828804, 123609201, ( -1), 980499060, 969182768, 435537756, ( -1), ( -1), 3419582, 853235965, 387656013, 949219664, 780543565, ( -1), 953513803, ( -1), 714863258, 733977459, ( -1), ( -1), 686565006, ( -1), ( -1), 740640062, 684481274, 255181158, 1626765, ( -1), 947269419, 929937437, 192140754, 375907069, 790050149, ( -1), ( -1), ( -1), 933505208, 875490140, 921398022, ( -1), 348858366, ( -1), ( -1), ( -1), ( -1), 393833433, ( -1), ( -1), ( -1), 278108726, ( -1), ( -1), 195346502, 274252418, 946269632, 767130082, 437648531, 339112628, 81932660, 580316429, ( -1), 561198313, ( -1), ( -1), 488009194, 74592961, 302113299, 924494757, 904188190, 226569834, ( -1), 887506470, 75333955, 2124555, 988176290, 841746453, 696649052, ( -1), 535877270, 647145281, ( -1), 288594224, ( -1), ( -1), 293192277, ( -1), ( -1), ( -1), 658682634, 113240864, ( -1), 227530828, ( -1), 57940745, ( -1), 302179768, 706492841, 626107857, 357106546, 728301227, ( -1), 537107114, ( -1), 915176453, 994186339, ( -1), 575236720, ( -1), ( -1), ( -1), ( -1), ( -1), 582313220, 325359774, 695441637, ( -1), 43153497, ( -1), 806799595, 286933232, ( -1), 264280048, 759329264, ( -1), ( -1), 319135621, 260288598, 676134782, 576299030, 807090401, ( -1), 675761053, 472181960, ( -1), 418992415, 926954596, 648334608, 725249125, ( -1), 198318469, 841199681, 197908078, 400710429, 794102350, 629897184, 216614068, ( -1), 453945600, 68158350, ( -1), 207653221, 330041052, ( -1), 9874214, ( -1), 863005722, 73657439, 142006863, 72336394, 68222576, ( -1), 920243368, 684532364, 640408144, ( -1), ( -1), 38607183, ( -1), 309131690, ( -1), 474066900, ( -1), ( -1), ( -1), 2001526, 915900032, 573193811, 576403300, 711267740, 190535903, 845494679, 406107268, 587636559, 8632045, 206552595, ( -1), ( -1), 984483114, 686121965, 801427384, ( -1), 806095573, 688917894, 626147478, ( -1), 866957998, 688778309, 796188166, 57220344, 339227340, 150827211, 782004351, 765393061, ( -1), ( -1), 432481270, ( -1), ( -1), 342532816, 256672866, 108872829, 273504566, ( -1), 56396020, 585706194, 896349045, 434147924, ( -1), 314860184, 706145904, 583792031, 132209422, ( -1), ( -1), ( -1), 443889534, ( -1), 336148259, ( -1), ( -1), 486160944, ( -1), 860572196, 582821121, 188869197, 451793503, 103294633, 796129101, ( -1), 556045725, 489758648, 980980517, ( -1), 758709063, 296256683, 290434598, 863267259, 881358226, 949210177, ( -1), 73297090, 980665628, 217440969, ( -1), 561877933, 137690815, 750277969, 79568134, 156475149, 233565346, 243896029, 578697280, 134127916, 146910984, 381837183, ( -1), 227177208, ( -1), 770089840, 894702999, ( -1), 605253771, 862250388, ( -1), 147770131, 58635894, 748886886, 515564601, ( -1), 514703451, 388237816, 674470868, 229298960, 877293964, ( -1), 832421307, 458205174, ( -1), ( -1), 434961402, 100768700, 795195153, ( -1), 564442725, ( -1), 855352742, ( -1), 915576792, 795739271, ( -1), 654490633, 29598102, 864450641, 769621111, ( -1), 345096926, ( -1), 730321807, 609589267, ( -1), 873549335, ( -1), 794069404, ( -1), 743502891, ( -1), 629339907, 649833485, 264605742, ( -1), ( -1), ( -1), 221159425, 299388315, ( -1), ( -1), 297974755, 526987052, ( -1), 749194509, ( -1), ( -1), 574532688, 258032484, ( -1), 966395603, 88922295, 30728593, 799123578, ( -1), 933450989, ( -1), 771969517, 365712381, 897241649, 47730390, 800993267, 506353327, 839479794, 748326825, 667652544, ( -1), ( -1), 253377635, 274988263, 534521650, 899055536, ( -1), ( -1), 107083401, 254523660, 656923518, 607117231, ( -1), 112835649, 534331545, 872585376, 591835610, 541947178, ( -1), ( -1), ( -1), 749759797, 843597889, 672418996, ( -1), 835859763, 670044541, 848474024, ( -1), ( -1), ( -1), 45478861, ( -1), 143094737, 535515951, 804747680, 606338505, ( -1), ( -1), 571305059, 929165383, ( -1), ( -1), 231686693, 993621603, 979110137, ( -1), ( -1), ( -1), ( -1), 489105411, 25228816, ( -1), ( -1), 244605640, ( -1), 596937690, 840057258, 140171591, 470296864, 956261851, 148966395, 59026436, 521862813, 832273465, 335651955, 762969275, 11239601, 718218470, 834735938, ( -1), 225367712, 602399507, 256363828, 258032992, 62459401, 599811289, 838039746, 783513661, 515583736, 139785953, 882097349, 534851139, 605808703, ( -1), 734974510, ( -1), 567352933, ( -1), ( -1), 667529467, ( -1), 659351398, 196728864, 600882490, 15119112, 218638329, ( -1), ( -1), ( -1), 704259146, 964639835, 166761955, 50195283, ( -1), 7839207, 393286035, 808061908, ( -1), 998913720, ( -1), ( -1), 301667758, 773594467, 37568957, 421560810, 79712746, 242969174, ( -1), ( -1), 585256447, 105725420, 661872709, 605755133, 593870195, 508660386, 366564898, 268707566, 986060097, 262682364, 678086931, 974006364, ( -1), 867202754, ( -1), 748891329, 439894529, ( -1), 513047652, 512201758, 947014003, 368559405, 212186367, 559668206, 231802604, 619530168, ( -1), 418067400, 86481497, ( -1), 976373014, ( -1), ( -1), 23637354, 985210269, ( -1), 638988171, 94607779, 738168241, ( -1), 912392771, ( -1), 496851486, 215192471, 880641670, ( -1), 768210549, 290318209, 788990257, 321195488, ( -1), ( -1), ( -1), 86067780, ( -1), 281955653, 383364074, 272295580, 157788931, 907856232, 144219204, 188081428, ( -1), 164612474, 73493213, 248822006, ( -1), 675555559, 360995544, ( -1), 895314071, ( -1), ( -1), ( -1), ( -1), 274124551, 926767667, 92808602, ( -1), ( -1), ( -1), ( -1), ( -1), 447714581, 169477013, 277744133, 223103566, 610129183, 230464692, ( -1), ( -1), ( -1), 132933647, 847256478, ( -1), 931328105, 404084528, ( -1), ( -1), ( -1), 362129768, ( -1), ( -1), ( -1), ( -1), 958595313, 864445644, ( -1), 529398116, 222908336, ( -1), 234312759, ( -1), 957821921, 351228120, ( -1), 557059105, ( -1), 167313085, 156609111, ( -1), 995343632, 602291912, ( -1), 435325943, 677731232, ( -1), ( -1), 384239516, 592815856, 772367762, 850137328, 243618955, 808112510, ( -1), 655131622, 210285414, ( -1), ( -1), 225675480, 90835731, 508641685, 385726987, ( -1), ( -1), 206818958, 845673275, 231616207, 649530274, 864074922, ( -1), 390882128, ( -1), 175347951, 482539175, ( -1), 576070841, 282493279, 821723655, 903769368, 317087015, ( -1), 323538322, 857203595, 416947093, ( -1), 483925237, 237337240, 164181936, ( -1), ( -1), 904071781, 8302121, ( -1), ( -1), 958653566, 573461982, ( -1), 22376057, 212493576, ( -1), 25331639, 461557291, ( -1), 159263291, 761813953, ( -1), 933744731, 406893454, 757925900, 278368199, 104695650, 524671173, ( -1), ( -1), ( -1), 905094963, ( -1), 360479902, 192492610, 913885253, ( -1), 515418219, 659919394, ( -1), 416133619, 378476177, 796173912, ( -1), 201531075, ( -1), 71924720, ( -1), 58863638, 293726896, 230111674, 497202763, 659413868, ( -1), 853739736, 891236509, 754204643, 156422965, ( -1), ( -1), 343075202, ( -1), 571616692, 344665582, 510192924, 618298435, 163406564, ( -1), 618301073, 791682676, 232601252, ( -1), ( -1), 181954915, 798536093, 814536577, ( -1), 745804382, ( -1), ( -1), ( -1), 389870070, 294347519, 828528394, 210371042, ( -1), 921099438, ( -1), ( -1), 375886874, 164112662, 418341586, 667879713, 754738388, 1517879, 349169336, ( -1), 653969968, 707085334, 306737527, 368733912, 124071397, 321058202, ( -1), ( -1), 577557843, ( -1), 333177763, ( -1), 754109729, ( -1), 638927970, 909141790, 224851807, 634475437, 960386106, 674734684, 602322200, ( -1), 439682122, 14633224, ( -1), ( -1), 941703241, 752915352, ( -1), ( -1), 573323689, ( -1), 901600428, 874910474, 699704568, 899830842, 856065340, ( -1), 1603582, 377775953, ( -1), 432224296, 154619424, ( -1), 937876656, 118939666, 434548458, 930833838, ( -1), ( -1), 262723330, ( -1), ( -1), 548369393, ( -1), 217707256, 847204216, ( -1), 76142435, 792482113, ( -1), ( -1), 6737662, 243617915, 774283397, 827833782, 38711761, 944239952, 957805541, 596428521, 86030091, 314267339, 916259878, 459324831, 145930308, 668603355, 158434070, 928090529, ( -1), 508854874, 831210702, 496461504, 8472276, ( -1), 96757937, 381747889, ( -1), ( -1), ( -1), 693716456, 844548152, 854035032, 899834010, 14847350, 814295784, ( -1), 325356661, 496210010, 34471136, 47220237, 768640073, 648876634, 681335249, 788132938, 96863002, 161629696, 163826512, 147434395, 457197508, ( -1), 996814783, 336942987, ( -1), ( -1), 548926406, 145130413, 538092025, ( -1), 197382660, 825510933, 833132724, 78227612, ( -1), ( -1), ( -1), 519659666, 157929036, ( -1), ( -1), 516008289, 711917382, 120378009, 486070883, ( -1), 197202102, 800600829, 609429508, 862136299, 830637512, 164739433, ( -1), 41692842, 86735731, 843953714, 573857347, 710414982, ( -1), 978348387, 974474828, 834383170, 516272682, 993254666, 532569322, 563955317, ( -1), ( -1), 860350170, ( -1), 877283009, ( -1), ( -1), 110197318, ( -1), 149680011, ( -1), ( -1), 296774006, ( -1), 18736404, 922406744, 143860579, 355254902, ( -1), 225948267, ( -1), ( -1), 943287249, 501395049, 183378576, 258815067, ( -1), ( -1), 259610552, 798208864, 415598792, ( -1), 422782854, ( -1), 202055902, 421715740, 647468233, 86203122, ( -1), 873793120, 996770063, 402332962, 210829650, 497087691, 42731304, 255774119, ( -1), ( -1), 779661406, ( -1), 380423387, 533816649, 422943983, 462912682, 870741242, 408331124, ( -1), ( -1), 559633283, 597719027, 271932818, ( -1), 778014040, ( -1), 950791257, 450885120, 132141654, 931490802, 735322250, 471228106, 832136734, 381695025, 445014795, 735364308, 726571357, 318608622, 852975704, ( -1), 324960260, 865237561, ( -1), 2681265, ( -1), ( -1), 165365920, 197847621, 195819908, 863206985, ( -1), 203317866, 95408458, ( -1), ( -1), 479056773, ( -1), 711408896, 369902823, 573437998, 817295162, 243283708, 575370666, 711839447, ( -1), ( -1), 943747742, ( -1), 543359784, 262494233, ( -1), 677550105, 633119039, 664065304, 16461004, 525932132, 196817680, 864347130, 263769676, 305370579, 314201730, ( -1), 843472974, 984454198, 688989209, 914818837, ( -1), 774432030, 540118136, 66241644, ( -1), 479334526, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 156478127, 275276202, ( -1), 415825035, ( -1), ( -1), 516737711, 534534138, 228914203, 750814797, 153139850, ( -1), 63988607, ( -1), ( -1), 946340650, 750669189, ( -1), ( -1), 530744371, 511433444, ( -1), 836985184, ( -1), ( -1), 149747854, 436187626, 145167451, 24422313, 713898430, ( -1), 427951772, 477599372, 573521724, 838579085, 667692125, 250177765, 234525799, 731892038, 46570010, 417763620, ( -1), 825621963, 381724147, 371434561, 835262479, ( -1), 69175405, ( -1), ( -1), 910926432, 797592541, 51455186, 414130514, 925756314, 200572913, ( -1), 489138816, ( -1), ( -1), 668378312, 964711191, 609642108, 447340752, 234957776, ( -1), ( -1), 534830846, 493022297, 306256650, 106276351, 36093141, ( -1), 713916487, 374020199, ( -1), 462668278, ( -1), 649464567, 436748149, ( -1), 358629490, 528885870, 635623322, ( -1), 995016250, 553380175, 214042117, 548886383, 284326879, ( -1), ( -1), ( -1), 980121168, 190627083, 880797473, 916256838, 609776101, ( -1), 898580882, 826401141, 640792262, 885915388, 878181956, ( -1), ( -1), 711385555, 627792840, ( -1), 404881128, ( -1), 585975048, 207607443, 999566556, 512307348, 748621772, 782171541, 367901356, 81298734, 13296792, 84350868, 271074697, 311298379, ( -1), 558119488, 552879082, ( -1), 622823659, ( -1), ( -1), 727194373, ( -1), 331212129, 855848378, ( -1), 844257703, 597865006, ( -1), ( -1), 818633181, ( -1), 133128366, 93749617, 551983648, ( -1), 221556000, 817289196, 304669551, ( -1), 668263999, 390916357, 775169964, ( -1), 935926167, 564024751, 250624448, 551453123, 131111978, ( -1), 346431253, ( -1), 122216032, 500948527, ( -1), ( -1), 342923422, 675301753, ( -1), 248523381, 429932456, ( -1), 84487964, 344362754, 839552943, 311955052, ( -1), 835678910, ( -1), 451806237, 933834105, ( -1), 890648270, 398218495, 336033863, 661381253, 112313736, 97113076, 594136292, 789347250, 695748669, 407910031, ( -1), ( -1), 903037366, ( -1), 951604730, 260670145, 151600867, 889014197, 461861817, 123604691, 853224277, 288630271, 33881161, ( -1), 536585101, 614470057, 370835298, 456312257, 842715399, 824709296, 109716024, ( -1), 440800235, 766340537, 200119713, 214974916, ( -1), 772833134, 966279732, ( -1), ( -1), ( -1), ( -1), ( -1), 627555704, ( -1), 98278231, ( -1), 998708101, 771032097, 132306562, ( -1), 860122584, 727601619, 690417567, 371504996, ( -1), 145404819, 515297493, ( -1), 906814280, 288205647, 471406213, ( -1), 870460673, 699987600, 878469490, 4099143, 2510235, 827053686, 688493755, 251175023, 127660971, 704000028, 70985244, ( -1), 788154179, 569304546, 604385959, 878240623, 777813541, 335811366, ( -1), 466768618, 81266650, 653280820, 474200106, 227733148, 799471283, 115982581, ( -1), 688443565, ( -1), 949900454, 76665457, 191255846, ( -1), 807981463, 738412185, 747518642, 805593114, 18928919, 167282938, 731129456, ( -1), 579566053, ( -1), 761459148, 191835344, 535641520, 888336469, 933081163, 815569268, ( -1), 427603140, 52516843, 832149853, 286753267, ( -1), 807967876, 348306602, 991912279, 8622846, ( -1), 856729655, ( -1), 952095010, 694124958, 208857507, 359738041, 51922906, 53569922, ( -1), 271193601, 788365051, 670740139, 809368096, ( -1), 47967111, 546903621, 921944430, ( -1), 537504640, ( -1), ( -1), 637445247, 361125384, 834497474, ( -1), 440893467, 264715932, ( -1), ( -1), 391124110, ( -1), 282588148, ( -1), 128230913, 385429965, 276182530, ( -1), 13313752, ( -1), 888463991, 515584, 899222939, 274651428, 21618620, 564161018, ( -1), 542162891, 243133361, 354723541, 4028943, ( -1), 126532807, 9814161, 460008503, 888677142, 283348738, 32049223, ( -1), 739837370, ( -1), 573382180, 749518996, 703506557, 503947614, 872995512, ( -1), ( -1), 177088237, 909952675, ( -1), ( -1), ( -1), ( -1), 932651298, 368510783, 123517462, 880254210, 655221316, ( -1), ( -1), ( -1), 75627998, 536195530, 743416402, ( -1), 182747872, ( -1), 180405982, 736248278, 4758505, 530943431, 560448133, 380062882, ( -1), ( -1), 914325771, ( -1), 164610817, 707115945, 350817706, 499152470, 45628206, 592380137, ( -1), 264016900, 438100803, ( -1), 489860210, 808966584, 77959680, ( -1), 591733774, 337940292, 414594033, 591085450, 812841724, 928249937, ( -1), 579327980, 130742727, 722321596, ( -1), ( -1), ( -1), 398150496, 278644078, ( -1), 294908845, ( -1), 933380394, ( -1), 765900866, ( -1), 979182398, 789086382, 329261544, ( -1), 450771238, 292163516, ( -1), 443451056, ( -1), 864739240, 416954800, 109018185, 874330738, 658886528, 564494819, 645447598, 715932312, 194863158, 912422951, 609027518, 699072945, 306101945, ( -1), 242347821, 311037073, 277116657, 616907292, ( -1), ( -1), 488114557, 104358731, 207370260, 325116171, 386155614, ( -1), 952362919, 366538159, 24285742, 894711218, 624810114, 684926489, ( -1), ( -1), 307570569, 913427258, ( -1), 34661697, 849577851, 337398382, 110739439, 442293850, 951050564, 277684187, 981589097, ( -1), 906887362, ( -1), 178564389, 402971698, 413831731, ( -1), 735847823, 821122098, 808276314, 747429706, ( -1), ( -1), 703730660, 481689660, ( -1), 998013224, 155728807, ( -1), ( -1), 349061349, ( -1), ( -1), 764299918, ( -1), 93979533, ( -1), 175601612, 500634090, 629011692, ( -1), 863421545, 414630682, ( -1), 751676103, 395919585, 727055296, 154806475, 188712342, 687057550, ( -1), ( -1), 540938306, ( -1), ( -1), ( -1), 345480312, ( -1), ( -1), 111378329, 170390773, 953219371, ( -1), 608672605, 660596222, 181352068, 935670005, 755067335, 590010845, 200389547, 155374824, 425648610, 117717631, ( -1), 420486015, ( -1), 733813231, 109605462, 899740076, 429420565, ( -1), 168167726, 343424889, ( -1), 434535860, 640142947, 423042375, 671408307, 653860099, 320622220, 324154522, 552569828, 221858932, 35959274, ( -1), 514660178, ( -1), 120262694, ( -1), 810398812, 193793351, ( -1), 173257526, 496108603, ( -1), 712476400, 924159617, ( -1), 163316660, 877221207, 121088038, 19711836, 638289660, 780268186, 645776996, ( -1), 250026477, ( -1), 243344308, ( -1), ( -1), 157775435, 358803348, 765903067, 309551004, 331752855, 668254161, 739159988, ( -1), 545789254, 395930120, ( -1), 626075503, 129984335, ( -1), 65100146, 609782279, 74911216, 376562308, 809818201, ( -1), 203413554, 120441223, 576805366, ( -1), 202039997, 556828374, 338321956, ( -1), 309671008, 276713169, 483456040, ( -1), 298976495, ( -1), ( -1), ( -1), ( -1), 429977366, 646835077, ( -1), 705604715, 987952323, ( -1), 513451562, ( -1), 959935730, 434435397, 887600089, 531405503, ( -1), ( -1), ( -1), ( -1), 634010133, 460855525, 299310495, ( -1), 233642259, 661388132, 140508716, 96987745, 924441476, 474797979, 954766745, ( -1), 818418760, 159645903, ( -1), ( -1), 502799971, 791167528, ( -1), 986733785, 451220111, 574524536, ( -1), ( -1), 617995213, 349714962, ( -1), 609967745, 17541418, ( -1), 432733709, 523743617, 761755629, ( -1), ( -1), ( -1), 132647859, ( -1), ( -1), ( -1), 693886206, ( -1), ( -1), ( -1), ( -1), 646314139, 282588161, ( -1), 80790458, ( -1), ( -1), 721614999, 942171363, 588962362, 909343201, 488923164, ( -1), 366318960, 9950225, 25548546, 462235950, 850116693, 303345779, 888553781, 717596760, ( -1), ( -1), 668642904, 538293632, ( -1), ( -1), 817830982, 422368764, ( -1), 609205269, ( -1), 373744402, 631598479, 394574542, 641926671, 106180745, 844695916, ( -1), ( -1), 460676584, 615303573, ( -1), ( -1), ( -1), ( -1), 678129233, ( -1), 247700307, 75905677, 411963448, ( -1), 160955186, 87985243, ( -1), ( -1), ( -1), ( -1), 886343639, ( -1), ( -1), 618069717, ( -1), 746095410, ( -1), 637975300, 41432208, 408664259, ( -1), 158166168, ( -1), 498120227, 562886154, ( -1), ( -1), 611448424, 868681584, 402557809, ( -1), ( -1), ( -1), 940803169, 925298665, 990383807, ( -1), 733066156, ( -1), ( -1), 550571985, ( -1), 744700017, ( -1), ( -1), ( -1), 973247421, 376787569, ( -1), 977400042, 461620448, 255271610, ( -1), 942018584, 314973050, ( -1), 893740694, 879424655, 990394960, 480111639, 828788333, 593612698, 311807317, 278763043, ( -1), 584980355, 924650465, ( -1), ( -1), 703658885, 796251865, 458887730, 781752781, 620175833, ( -1), 453077778, 178054349, 392304863, 43685193, 158322719, 462365347, 403705304, 554715031, ( -1), 972329553, 117982960, ( -1), ( -1), ( -1), ( -1), 214424118, 726658819, ( -1), ( -1), 183669062, ( -1), ( -1), 382781817, ( -1), 398952953, 851769586, 134946923, ( -1), 620060454, 538991459, ( -1), 926622528, 282115877, 265452312, ( -1), 430596789, 546351044, 776098362, ( -1), 883752592, 888847833, ( -1), ( -1), 99218206, ( -1), ( -1), 270544843, 145913688, ( -1), 714326743, 795682805, 763018964, 146112325, 582274671, ( -1), ( -1), 315060696, 819491620, 84849940, 73564674, 513052746, ( -1), 885233975, 258736151, 392930862, 126062314, 685008473, ( -1), ( -1), 650221461, 828010418, 1615168, 574480649, 814951114, ( -1), 993911507, 668657633, ( -1), 340941436, ( -1), 202297558, 902818735, 380559696, 354415133, 611123185, ( -1), ( -1), ( -1), 709213810, 897883280, 469819928, 496752412, 666846796, 968740744, 138253466, ( -1), 605835584, 716384419, ( -1), ( -1), 521084485, 633240278, 231162616, 309663628, ( -1), 524143292, ( -1), 735318526, 85172000, 542141378, 330621828, 202794687, 785466699, ( -1), 749007989, 589465001, 691896831, 26227211, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 312921713, 599655042, 597464203, ( -1), 845343775, 798622490, ( -1), ( -1), ( -1), 646904000, ( -1), ( -1), 597407251, ( -1), ( -1), ( -1), 645351172, 406290529, 945998168, ( -1), 315239879, 793796411, 651457309, 436566944, 599029751, 230417452, 234571837, 114269620, ( -1), 815204584, 690678274, 49778260, 910904605, 629259312, ( -1), ( -1), ( -1), ( -1), 835804840, 639750972, 591660818, 551481574, 750686751, 919033030, 235098323, 379522342, ( -1), 122760658, ( -1), 476999114, ( -1), 944998068, 642875648, ( -1), 543904496, ( -1), 555326077, 159124490, 665227308, ( -1), 579009868, 581339373, ( -1), 889046357, ( -1), 558541683, ( -1), 126653496, 377324033, ( -1), 248375338, ( -1), 567114454, 414680149, 549666910, 580978931, 207546293, ( -1), ( -1), ( -1), ( -1), 871557486, ( -1), 960174614, 26499549, 430880950, 675603099, 457989492, ( -1), 858407015, 731563299, 136327199, 869986459, 808854588, 625091156, 692402502, 953574871, ( -1), 322833218, 384932931, ( -1), 151780235, ( -1), ( -1), 319786580, 344834749, ( -1), 709340920, 993616483, 755933799, 58594419, 711793196, 823333752, 118226169, ( -1), ( -1), 712840253, 988334134, 557487400, 780896564, ( -1), 456293246, ( -1), 463796481, 690293842, 996650257, 978884750, ( -1), 816415566, 845083441, 926858849, ( -1), 597764181, 38204238, ( -1), 350593418, 607314027, 382750857, 581230250, 133682580, 386044594, 103423902, 872765810, 224761574, 81134920, 472720629, 739160237, 841071684, 928026168, 321214656, 410339560, ( -1), 150463883, 429797719, ( -1), 905654589, 715317130, 568870500, 486917916, 929334718, 468379008, 525980983, ( -1), 219894501, 619512343, 438506344, 792290870, ( -1), 734837996, ( -1), 85314857, 942442015, 849172617, ( -1), 213543609, 897795704, 771683419, 59504566, 351701973, ( -1), ( -1), 942682942, ( -1), 977999925, 811482199, 911273068, 347726180, ( -1), 639906265, 129513713, ( -1), 740274834, ( -1), 966513102, 593277227, 448791827, 928921052, 972486718, 109590426, 625804345, 544884960, 537449502, 336805133, ( -1), 610961258, ( -1), 175098507, 634414766, 959370562, 935711646, 684602339, 856090358, 667327630, 721087776, ( -1), 622553143, 958232762, 938308216, 486894811, 988125834, 703560334, 621291467, 184421088, 190116556, ( -1), 801686767, 237182876, 163680348, 172053720, 248988389, 738889475, 75758839, 304392113, 114136880, ( -1), 321902192, 933241652, ( -1), 760921337, ( -1), 100439563, 152988038, 460665882, 267554953, ( -1), 940910388, 161473332, ( -1), 281201728, 733368169, 403108008, 55549183, 912108422, ( -1), 429928101, ( -1), 557518597, ( -1), 430510947, ( -1), 441096974, 367649809, 540128493, 339795696, 270282757, 741564446, ( -1), ( -1), ( -1), 598940261, 554923182, 399498973, 419429004, ( -1), 587317160, 960184685, 104064127, 713472344, ( -1), 16652749, 452423232, 766680250, ( -1), ( -1), 205409683, 379864306, 190860456, 547797360, ( -1), 756994852, 776721455, ( -1), 675083508, 675304062, 228193164, 289942766, 824910355, ( -1), ( -1), 483082401, 277174843, 908739525, ( -1), 519576143, ( -1), 168739982, 517399243, ( -1), ( -1), 373900753, 467286822, 875746347, 430922887, ( -1), 749884791, 772654221, 894004025, 219891305, 144647973, 886512630, 577376402, ( -1), 995407304, ( -1), 591819630, ( -1), ( -1), ( -1), 617143421, 159410089, 532807356, 931450774, 55461711, 234491995, 284282487, ( -1), ( -1), 475926904, 605721459, 825444410, ( -1), 619438461, 196524848, 307970121, 649443442, ( -1), ( -1), 124345569, 544383960, ( -1), ( -1), ( -1), 467943445, 941824238, ( -1), 656652403, ( -1), 171102075, 493957553, 674872586, 686861986, 264375086, 862338137, ( -1), 650991550, 377869159, ( -1), 893814196, 538881687, 521658622, 751206444, 635500893, 115152349, ( -1), ( -1), ( -1), 170149994, ( -1), 322370394, ( -1), 522730925, 335276673, 136493881, 869926046, 527313361, 564069343, 564718654, 754959393, 832827044, 788527904, ( -1), 199294425, ( -1), 246554067, ( -1), ( -1), ( -1), 74808352, ( -1), 424799589, ( -1), 556932269, ( -1), ( -1), 736216781, 553298697, 477862456, ( -1), 889544443, 467345834, 385246617, 2115358, 657456427, 749508515, 405733232, 392858150, 204652065, 941501950, 104194898, 780773621, 823632380, 900644518, 502904776, 864642345, 854107773, 778128266, ( -1), 248584764, 143344750, 89085337, ( -1), 454357029, ( -1), ( -1), 682073148, 987030024, ( -1), 314527393, ( -1), 266926840, 850072984, ( -1), 14297756, 690715742, ( -1), 743739129, ( -1), 323469172, 975504398, 163672220, ( -1), 142827705, 718605147, 768989951, 944907687, ( -1), 317649175, ( -1), 368708723, 989361295, ( -1), 91367855, 405119328, 797364705, 307403825, 144400078, 289748316, ( -1), 998923075, 150558160, ( -1), 157045997, ( -1), 450810098, 146473377, 451630267, 324814499, 854143287, ( -1), 329010188, 198505320, 826059785, ( -1), 444018666, ( -1), 740749040, ( -1), ( -1), ( -1), ( -1), ( -1), 89302109, ( -1), 851627751, 224305892, 582935458, 976113519, 813883328, 831334324, ( -1), 264979142, ( -1), 560168742, ( -1), ( -1), ( -1), 580734633, ( -1), ( -1), 576547982, 100699024, 963729988, 493436193, 777552780, ( -1), ( -1), 391052562, 34750969, ( -1), 722773513, 176280178, ( -1), 528323652, ( -1), ( -1), 565128390, 25885260, ( -1), 329931503, 542567590, 200934839, 361213864, 195375843, ( -1), ( -1), 284445788, 568779059, 931631118, 476730935, 934477032, 171451593, ( -1), 117606275, ( -1), 667958484, ( -1), ( -1), 546133705, 905560394, ( -1), 646621497, 205341559, 926883396, 302381392, 72367287, 841084923, 535410747, 154663394, 35168741, ( -1), 415348148, 28225185, 251284467, 609884560, 766350483, 150404417, 424766454, 411519707, 672223788, 328077543, 140613822, 897777553, 583948935, 703775593, 977369972, ( -1), 245893124, ( -1), ( -1), 807652303, 352879824, 279841747, 285863857, ( -1), 462043549, ( -1), ( -1), 462721915, ( -1), ( -1), 460625976, 766826326, 759563640, ( -1), 611011989, ( -1), 950785227, 988689773, 914275993, 805216940, ( -1), 598094940, 766409074, 930632513, ( -1), ( -1), 26032602, ( -1), 423593379, 28051718, 944936287, ( -1), 742785143, 83359500, 717079553, 925355362, 966171892, 49449737, 595354806, 235569771, 238618059, 812824932, 448437357, ( -1), 970474497, 875517446, ( -1), ( -1), ( -1), ( -1), 667257294, 889654224, ( -1), ( -1), 799091793, 820282367, 117794746, ( -1), ( -1), 632001786, ( -1), ( -1), 993654994, 545246333, ( -1), ( -1), 786371890, 287420020, ( -1), 83827866, 256900244, 451674484, 391979111, 842133414, ( -1), ( -1), 628128887, 122169202, 754012017, 621478201, ( -1), 993492823, 274739926, 357028176, ( -1), 304773474, ( -1), 858593106, ( -1), ( -1), 519276040, 468989089, 892424259, ( -1), 127225148, ( -1), 673723720, 565790158, ( -1), 576943750, 684998657, 171066128, 366318197, 506941886, 326967300, 589138698, ( -1), 215101799, ( -1), 417437399, ( -1), 507693767, 254563000, 954281283, 118525213, ( -1), 29495607, ( -1), 954251433, ( -1), 948818664, 615595670, 290493891, 569019706, 764557204, 655439854, 295986338, ( -1), 623273680, 484477726, 839692413, 404662519, ( -1), ( -1), 808302399, 664254955, 703415975, 924921485, ( -1), 276403477, 383754404, ( -1), ( -1), 392923891, ( -1), 340008066, 625967380, 918833416, 944511632, ( -1), 524057379, 397947835, 83096158, 895417106, 615552120, ( -1), 820883896, ( -1), ( -1), ( -1), 381827887, 69647163, ( -1), 446690342, 761844560, 908473118, 406727693, 931559393, 24438301, 756708818, ( -1), 998568564, ( -1), ( -1), 740713089, 2408372, 586125792, 411961192, 953532003, ( -1), 958906352, 865580161, ( -1), 492808018, ( -1), 103305668, 371597015, ( -1), 79429026, 131869439, ( -1), 731922652, 270419205, 479224199, 172371967, ( -1), 38061660, ( -1), 795802833, ( -1), 990845959, ( -1), ( -1), 4738062, 369063191, ( -1), ( -1), 536224069, 958775333, ( -1), 131561501, 414891772, 265707346, 285621126, 343935220, 63248423, ( -1), 315058371, 764550367, ( -1), ( -1), 490599048, 965415632, 104402131, 337791750, ( -1), ( -1), ( -1), 956212024, 89142285, ( -1), 113778031, 285906789, ( -1), 560566216, ( -1), 599183911, 68779136, 856183216, 965740304, 770577252, 715411149, 65811276, 100048549, 201982933, 56419792, ( -1), 107626861, 843548382, 5038424, 955252348, ( -1), ( -1), 213967943, 750015379, ( -1), ( -1), 114067155, ( -1), 819501262, ( -1), ( -1), 908601570, ( -1), ( -1), 50788156, 803686330, 143311059, ( -1), 273106511, 266836058, 329847966, 652539902, 254570920, 124443706, 869167706, 369926027, 668609942, 35054497, 394881172, 387062926, 586186697, 17373176, 575599700, 962689325, 737524633, ( -1), 340986968, ( -1), 642868490, 468325950, 208287910, ( -1), ( -1), 998199350, ( -1), ( -1), 473625989, 619909179, 755561822, 421064593, 880165067, 815877836, 351752004, 452620831, 437798689, 575088748, 1538005, ( -1), ( -1), 160349644, 482749301, ( -1), 675457444, ( -1), ( -1), ( -1), ( -1), 872020487, 434799861, 49486357, ( -1), ( -1), 355773458, ( -1), 578646716, ( -1), 958609791, 691174085, 401408138, 545414611, ( -1), 802122807, ( -1), 729144876, 835042810, ( -1), 336100587, 516731112, 118081905, ( -1), 595247368, ( -1), 345991814, 411414223, ( -1), ( -1), ( -1), 412886662, ( -1), 846408097, 881121692, 343508599, 824528755, 363161075, ( -1), 343694230, 19818006, 149244765, 71085360, 612065587, 303620971, ( -1), ( -1), 39126471, 477559260, ( -1), ( -1), 308756193, ( -1), 369091450, 599012211, ( -1), 816135069, 746762415, ( -1), ( -1), 681541409, 977008633, ( -1), 975816547, ( -1), 474846711, ( -1), 988565708, 764157997, 902036605, 73944927, ( -1), 944838882, 844408274, 743467015, ( -1), ( -1), 161550034, 613189547, 895810104, 845677490, 464916404, ( -1), 174796262, 527408287, ( -1), 936490156, 574538081, 132099243, ( -1), ( -1), 994201059, ( -1), ( -1), ( -1), ( -1), 845267719, 170166459, ( -1), 162069427, 298886962, ( -1), 561025957, ( -1), 541207224, 38416038, 466790072, 265072491, 343555145, ( -1), 515273863, 301213130, 509559431, 904857885, 889136079, 984452569, 758822536, 864974471, 377276916, 239056365, 596715011, ( -1), ( -1), 222550023, 73879187, ( -1), 381648863, 176219184, 433003498, ( -1), 157295366, ( -1), 855813398, 119156967, 844891787, 848446517, 885282288, ( -1), 128369021, ( -1), 344864657, ( -1), ( -1), 969777017, ( -1), 462702859, ( -1), 228885766, 151114467, ( -1), 800562349, 73772366, 737773235, 157297731, 69123491, ( -1), 298136394, 900922007, 108875496, 614502767, 849784096, 989977657, 670211181, 485237693, 465177890, ( -1), 141053531, ( -1), 9794525, 999169025, 400208606, 442338857, 460484016, ( -1), 12995998, 625667183, 101084467, 572012400, 648281023, 124848371, 868728700, 136678360, ( -1), 423924584, 510292288, 39773525, 369081748, 521272525, 561484389, 446427075, 467460832, ( -1), ( -1), 553095170, ( -1), 383693011, ( -1), 648476582, 121250775, ( -1), ( -1), ( -1), 529524900, ( -1), ( -1), 17025609, ( -1), ( -1), ( -1), 390405276, ( -1), ( -1), 894524916, ( -1), 391286538, ( -1), 906810696, ( -1), 6608730, 150177500, 134673855, 99184467, 164068218, 161365593, 407924461, ( -1), 520294291, 409012722, 663198081, 544126011, 933662435, 178425867, 868738515, 770515954, 646836721, 37619591, 575939306, ( -1), ( -1), 209681958, 355702876, 746520155, 177644908, 934542070, ( -1), 191960163, 350191076, 229858137, 271885247, 946177252, 987243908, ( -1), ( -1), ( -1), ( -1), ( -1), 97600560, 361619894, ( -1), 532993900, 763109229, 464947014, 247339401, ( -1), 144147317, 781064538, ( -1), ( -1), ( -1), 350905677, 955960591, 502108140, ( -1), 711236358, 553762536, 10384803, 773116026, 844923909, 773338344, 847010667, 423673782, ( -1), 848400510, 957603508, 342391242, 893967086, 134257393, ( -1), 593886794, ( -1), 765760322, 304287368, ( -1), ( -1), ( -1), 33547201, 473645534, 806742974, ( -1), 897400606, 894902037, ( -1), 71473093, 40053461, 680478300, 260403767, 132876405, 374716077, 272351626, ( -1), 807539519, 73631220, 490303652, 757759964, 546776517, 552346312, 689614226, 964672835, ( -1), 156300655, 615255274, 212319865, 365391135, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 933290815, 294754593, ( -1), 984696614, 718494368, ( -1), 521871446, 912973119, 91955604, 570151608, ( -1), 475941123, 304521666, 633346694, 59030621, 627449289, 252413283, 119107304, ( -1), 6453783, 458369458, 267801782, 946024465, 766284586, 31866072, ( -1), 44052360, 498210401, 655509911, 518591327, ( -1), 446686426, 462434964, ( -1), 566065687, 84229217, 544142079, ( -1), 63000526, 720052365, 662797639, 361305166, 285645485, 702601216, ( -1), 264324832, 565251410, ( -1), 879076163, 151469550, ( -1), 275593036, ( -1), 290339954, 407955655, 786858175, 843174877, ( -1), ( -1), 906672112, ( -1), 583079771, 899484587, ( -1), ( -1), 142841339, 60913218, ( -1), 85786891, 529168693, 418619031, 172881552, ( -1), 838964914, 75958058, ( -1), 761919550, ( -1), 964233906, 475818765, 94785014, 400316873, ( -1), 634880194, ( -1), 162038619, 908284587, 859911859, 553492630, 32152259, 938935825, ( -1), ( -1), 570675827, 435443284, ( -1), 55571, 975459253, 670314277, ( -1), ( -1), 715664652, 32962639, 697033802, 384186444, 875238028, 72818795, 391371406, 886207678, 660460741, 944212952, 583749222, 380592538, ( -1), 144370632, ( -1), ( -1), 744830232, 239293801, ( -1), ( -1), ( -1), 659227419, 408354688, 468101440, ( -1), 615555372, 948890047, ( -1), 304226354, 653172412, ( -1), 77240289, 125944134, 888435216, ( -1), 644159538, 293181877, 614919799, 969938821, 773365154, 195069904, 551170516, 619622040, 370147715, ( -1), ( -1), ( -1), 884951639, 400164186, 466560583, ( -1), 954092324, 387581072, 799957588, ( -1), 308153044, 136127400, ( -1), 572993900, 616806665, 481441482, ( -1), ( -1), ( -1), ( -1), 457337581, ( -1), ( -1), ( -1), ( -1), 582099198, ( -1), ( -1), 804644599, 492388955, 785103639, 5799282, 108082434, ( -1), 823632550, ( -1), 974668539, 706370308, ( -1), ( -1), 653749729, 313169966, ( -1), 975478131, 937124238, 862114071, 742924306, 682193926, 125740424, ( -1), ( -1), ( -1), 311630869, ( -1), 747010473, 5930185, ( -1), 67311583, ( -1), ( -1), 421796349, 293137986, 853959595, ( -1), 92094141, 417264341, ( -1), ( -1), 61212921, 896791220, 432040601, ( -1), 120294477, 976522754, 581681312, ( -1), ( -1), 657423356, 495616415, 866240364, 304762551, ( -1), ( -1), ( -1), 440314612, 538920558, 195145054, 280870156, ( -1), 929099933, 293066221, 469973618, 507942514, 754247743, 10802264, 803065771, ( -1), 356127023, ( -1), ( -1), 407628464, ( -1), 402308275, 591975962, ( -1), ( -1), 651396857, 366735914, 303134616, 856463083, ( -1), ( -1), 630503768, ( -1), ( -1), ( -1), 503651206, ( -1), 517796703, 726422936, 197701468, 559996374, 988974572, 484245125, 292330231, 982042569, 732110254, 773919265, 565652855, 846959617, 603853156, ( -1), 538057241, ( -1), 635096702, ( -1), 643655207, 130648972, ( -1), ( -1), 678608698, 426205441, 682194739, 660696410, ( -1), 547450983, 740522609, 21025713, 788646297, 755179442, ( -1), ( -1), 405958002, 841633912, 397339470, 887258545, 11643682, ( -1), 22818157, 344043485, 31025883, 957601260, ( -1), ( -1), 767881828, ( -1), 452880472, 922607644, ( -1), 402527105, ( -1), 396496658, ( -1), 33532431, 910167369, 973232984, ( -1), ( -1), 589809329, 394334953, 739144135, 386772212, ( -1), 470008369, ( -1), 362782520, 651950821, 179323838, 215920411, 959966929, 972979740, 801655992, ( -1), 937569737, 675014056, 855811706, 932100840, 860006142, 853846965, 608681065, 609144807, 68543889, 324281478, 466996910, 757766239, 301312625, 659366974, 581685859, ( -1), ( -1), ( -1), 433180313, 999865800, 636122493, ( -1), 29274774, 267286597, 951131248, 995436248, ( -1), ( -1), 38237750, 424435216, 160249117, 390812721, 348601520, ( -1), 72782963, 633195492, 941947185, 708963488, 824525094, 942564516, ( -1), ( -1), ( -1), 89547341, ( -1), 719700627, 819218159, 57920573, 645829963, 797059168, 491310979, 824446774, 294085650, 866715554, ( -1), ( -1), ( -1), ( -1), ( -1), 860836203, 858708208, 999646625, 932836006, ( -1), ( -1), ( -1), 735002499, ( -1), 589145096, 943691456, 71444383, 353844155, 522062900, 124828503, 580019748, 635512361, ( -1), ( -1), 605465814, 584594656, 395525404, 314649225, 157415867, 812693968, 791072236, 228173432, 540692439, 834394972, ( -1), 889825613, 91341524, 59885126, 910196696, 671439202, 933688834, ( -1), ( -1), ( -1), 732266052, 450950137, 388059741, 241460862, ( -1), ( -1), 14196291, ( -1), ( -1), 587990932, 934726436, ( -1), 797890327, 201665080, 2992597, 671207999, 948846072, ( -1), 630175687, 585307805, 466542055, 130332204, ( -1), 919823524, 448849707, ( -1), 536000738, 666376642, ( -1), 512667116, ( -1), 459751150, 845341340, ( -1), 9511848, ( -1), 808168824, 394466858, 479500573, ( -1), 524472812, 868494643, 627065029, 28869594, 224789146, ( -1), 306693000, 115180018, ( -1), 415648718, 191435677, ( -1), 330647852, 951111052, ( -1), ( -1), 563783086, 16464730, 906464317, 491329632, ( -1), ( -1), 925565038, ( -1), ( -1), 802977559, ( -1), 410494804, ( -1), 143453016, 739808439, 973532877, 560695207, 398781999, 443430103, ( -1), 507794609, ( -1), 714700708, ( -1), 638654083, ( -1), ( -1), ( -1), 969772969, 91226208, 710809953, ( -1), ( -1), 313469493, 840536516, 372010674, 532269674, 934649053, 338279999, 986641597, 403458152, ( -1), 688896117, 131165662, 572400091, ( -1), ( -1), 861607702, 683543036, 437606946, ( -1), ( -1), ( -1), 452943380, 453407870, 462972339, ( -1), 243895628, ( -1), 995918658, ( -1), ( -1), ( -1), ( -1), 727301462, 196480064, ( -1), ( -1), ( -1), ( -1), 248511802, ( -1), 733396971, 80313644, ( -1), ( -1), ( -1), 431689213, 299370122, 827718257, 97729821, 896037096, 453325662, ( -1), 496213456, ( -1), ( -1), 335925840, ( -1), 933182055, 463848714, 590279845, ( -1), 526713708, ( -1), 258055188, ( -1), 539878245, 24473842, 976288017, 192808763, ( -1), 249567305, 405662354, 560409807, ( -1), ( -1), 916204209, 303612875, 497973494, ( -1), 252192569, 71404192, 647429226, 783716934, 242784433, 242992037, 272417376, ( -1), 527846466, 762412603, ( -1), ( -1), 835320260, ( -1), 348309551, 358840374, 52353072, 129103849, ( -1), ( -1), ( -1), ( -1), 38629974, 306048544, 602041866, 983394430, 472813016, 69271509, ( -1), 569722341, ( -1), ( -1), 96868615, 398604019, ( -1), ( -1), 609247018, 50918765, 173894258, ( -1), 858732975, 523383563, 768498263, ( -1), 42067498, 308121582, 700280651, 469920009, 298304271, ( -1), 302020591, 47185517, 109792890, 225348926, 885680543, 732306922, ( -1), ( -1), 502856260, 798305416, 649572631, ( -1), 199095071, 881899850, ( -1), 631274116, 74649681, ( -1), 742275691, 62597501, 129327337, ( -1), 371531870, 861426965, 155490532, ( -1), 385802888, ( -1), 1438856, 334448437, 557948465, 625845202, ( -1), 994644599, ( -1), 324376952, ( -1), 365734744, ( -1), ( -1), 392441275, 671014630, 418922508, ( -1), ( -1), 208469973, ( -1), 587702738, 702786981, ( -1), 426197553, 963226527, 296064276, 4510251, 317368125, ( -1), 870512582, 663448005, 563579451, 702714215, 474206154, 562685303, ( -1), 475969892, ( -1), 334888423, 598749984, 146123902, ( -1), ( -1), 23814245, 575420932, 708267465, ( -1), 851855290, 669706912, 952456878, ( -1), 973795613, 614085773, ( -1), ( -1), ( -1), 5603070, 486385361, 655909156, 104495439, 955055533, 345776740, ( -1), ( -1), 796370998, 414392562, 436104084, 641098199, 591398125, 274167083, 334087247, 822105658, 576298799, ( -1), 738623626, ( -1), 60321676, 820854768, 169446435, 922865559, 888497875, ( -1), 92316989, ( -1), 546095138, 367347851, 50180596, 790850766, 560425149, 389046804, ( -1), 157390123, ( -1), 65227231, 254782392, 566425724, 140268370, 398969424, 215651123, 596599096, 583224835, ( -1), 6518884, 615020386, 792618577, 357362035, ( -1), 62502628, 454916414, 561196034, 763537972, 413281200, ( -1), 406980225, ( -1), 768746882, 339268942, 249170417, ( -1), 391388141, 903842546, 615200577, ( -1), ( -1), 535176112, 324653492, 435691453, ( -1), 78470034, ( -1), ( -1), 837901850, 829796547, 837373020, ( -1), 463879558, 455360313, 343105837, 631180159, 280056812, ( -1), 357848966, 575642060, 741703364, 930386530, ( -1), ( -1), 651143284, 713425649, 822113225, ( -1), 829836585, ( -1), 584907051, 435562997, ( -1), 163004672, 960385343, 110452248, 650585075, ( -1), 959770056, 291406565, 58078498, 165864514, 967224138, ( -1), 305435942, 668702309, 107082814, 405529097, 224497454, 384679271, 190341447, 833024742, 712240079, 386722224, 688515509, 510738557, 117281205, 563628737, 171404251, 174782549, ( -1), 706426384, 971183354, 726156015, ( -1), ( -1), 734597981, 111398732, ( -1), ( -1), ( -1), 356828592, 143686194, 588430976, ( -1), 867577864, 869606548, 182925550, 695921442, 267811524, ( -1), 128729047, 722312595, ( -1), 503728773, 775785065, 67649165, 143295539, ( -1), 494871600, 443551247, 296038680, 907818311, 537540738, ( -1), 172005904, 850449652, ( -1), 290546216, 573724601, ( -1), ( -1), 383641017, 660389071, 391767828, 102235445, ( -1), 334019812, 872986697, 393378789, 584794545, 37190779, ( -1), 209527858, 347352687, 569740304, 447005436, ( -1), 513943784, 402874888, 595183640, 855614183, 958941209, 550850573, 810042136, 451068694, 10014739, 260452634, 320765035, 609603984, 72527534, ( -1), ( -1), 388845345, 642057255, 216598276, 21637767, 387051475, 476804034, 976837648, 133603985, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 486309458, ( -1), ( -1), 181873666, 749562370, 344405732, 819635694, ( -1), ( -1), ( -1), 740572742, 541304147, 904444618, 613760985, ( -1), 397928339, 880744251, ( -1), ( -1), 267573703, 706120301, 873674808, 958697586, 431533288, 423802308, 625219643, 205925521, 944345553, 444710044, ( -1), ( -1), ( -1), 20088282, ( -1), ( -1), ( -1), ( -1), ( -1), 248786549, 588906168, 349686504, 343898468, ( -1), 84388960, 417918369, 189690828, 176165736, ( -1), 116130019, 254294705, 482476171, ( -1), ( -1), ( -1), ( -1), ( -1), 104224638, 349138747, 981408932, ( -1), 910484928, 471514192, 887085320, ( -1), ( -1), ( -1), 279350958, 640850990, 815023711, ( -1), 153439420, ( -1), ( -1), 748044620, 919611448, 270473982, 673030867, 889093330, ( -1), ( -1), 934732113, 850013190, 47098254, ( -1), 571917552, 555094537, 542951546, 933690176, 562564666, ( -1), 554928431, 47410401, 159109202, ( -1), 780995163, 370411488, 661311780, ( -1), 281104198, ( -1), ( -1), 691423718, 344533644, ( -1), 406752634, 405940188, ( -1), 611873980, 492329456, 73702341, ( -1), 308714486, ( -1), 9148887, 807479552, ( -1), 133250456, 315045020, 826071319, 200083298, 307760018, ( -1), ( -1), ( -1), 721857049, 327943864, 139839715, 306008557, 498285570, 308120140, 220042477, ( -1), 233213362, 945707492, ( -1), ( -1), 436989057, ( -1), 5291610, 415564879, 891661872, 38323182, 731667199, ( -1), ( -1), 201775687, 927595979, ( -1), ( -1), 184347970, 502450759, 76980283, ( -1), 928545254, 8687732, 10126575, ( -1), ( -1), 282666465, ( -1), ( -1), 418322877, 6278355, 790788415, ( -1), ( -1), 815860492, 685230156, 852407218, 79106553, 290341128, 764589834, ( -1), 925729326, 760381847, 273919073, 862054633, 921758938, ( -1), 203436392, ( -1), 866787448, 799496541, 739182028, 508639205, 600529158, ( -1), ( -1), 286340687, ( -1), 393561385, 262435007, 606336186, ( -1), 70896248, 93126619, 930383023, 358868079, 104260177, ( -1), ( -1), 91363539, 645398373, ( -1), ( -1), 200726954, ( -1), ( -1), 943178845, ( -1), ( -1), ( -1), ( -1), 260260500, 65012817, ( -1), 986897608, 830541414, ( -1), 257184834, ( -1), 272757638, 332067001, 744087604, ( -1), 610760292, ( -1), ( -1), ( -1), ( -1), 978762264, ( -1), ( -1), 254786707, ( -1), ( -1), 886589341, 128980064, 858091589, 32607088, ( -1), 394403413, ( -1), 256131333, 278694143, 676301107, 963366897, ( -1), 937096386, ( -1), 105980042, 585040176, 919624228, 675235726, 154006222, ( -1), 818311188, ( -1), 345791812, 223504488, 825875260, 498610613, 924067707, 60641639, ( -1), ( -1), 196483865, ( -1), ( -1), ( -1), 773530582, 148301813, 426570552, ( -1), 359675009, 694370526, 994269857, ( -1), ( -1), 145641543, ( -1), ( -1), ( -1), 356011773, 437975008, 195486492, 531892761, 328935424, ( -1), 796013387, 937166442, 651672430, 812536184, ( -1), 763233068, 252937769, ( -1), 42371614, 372177934, ( -1), ( -1), ( -1), ( -1), ( -1), 412245591, 47485859, 544529715, ( -1), 25333166, 759628073, ( -1), ( -1), 678518185, 180762270, ( -1), ( -1), 196980529, 83629633, 383690060, 172013627, 357978029, 838946472, ( -1), ( -1), 200601619, ( -1), ( -1), 158497016, 670405992, 645820094, 192174504, 427015566, 256515268, ( -1), 224330384, 770460407, 500753686, 982063265, ( -1), 111123158, 408662203, 991363472, 695709475, 700393805, 654356951, ( -1), 509978125, ( -1), 787064155, 363163955, 728341072, 821581638, 972634283, ( -1), 407979053, 746963844, 678822976, 672509231, ( -1), 858019337, ( -1), 525865532, 235216313, ( -1), ( -1), 14440021, 838024140, 866245431, ( -1), ( -1), 728839298, 416876444, ( -1), 300311632, 147202225, 420700861, ( -1), 902658247, ( -1), 707035330, 266951341, 251516446, 570246184, 404769106, ( -1), ( -1), ( -1), 325092994, ( -1), ( -1), ( -1), ( -1), 129559117, 15213935, ( -1), 361209334, 22068587, 133863676, 536173543, ( -1), 815134066, ( -1), 881515485, 329495054, 529818461, 126194332, 218397434, 772136390, 132955984, ( -1), 674704717, 188464731, ( -1), 503959058, 432626897, ( -1), 947262646, ( -1), 949079265, 617082933, ( -1), ( -1), 815893661, 889404712, 846095580, 321062428, 489163350, 688786382, 177115197, 278584230, ( -1), 589753781, ( -1), ( -1), 605385447, 4515718, 972821055, 202984096, 319433926, 244958953, ( -1), 257031452, 411275638, ( -1), 583868726, ( -1), 358409833, 704508644, ( -1), 233828454, 887111352, 53081951, 888625703, ( -1), 630049204, 814869790, 191386166, 850215781, 227997468, 401159570, 388758001, ( -1), 503698404, 512437606, ( -1), 762472660, 217687972, 91911533, 209322788, 361699013, ( -1), 592356757, 973414811, 740560660, 743837257, 998294462, 543319207, 489162449, 565260158, 572399818, ( -1), ( -1), ( -1), 21951704, ( -1), 800680901, 536069924, ( -1), ( -1), 769087056, 449597494, 119955957, ( -1), 311978195, 485215987, 846662370, 568922162, 163096888, 477459765, 768639037, 711267647, 734295782, ( -1), ( -1), ( -1), 404120491, ( -1), 851200333, 2039109, 386430266, 660951396, 626769669, ( -1), 698592428, 31206609, ( -1), 419240368, 996748371, 549548505, ( -1), ( -1), 6753084, 372447936, ( -1), 985931339, ( -1), 556610279, 749957927, 61855386, ( -1), 418583146, 413230935, ( -1), 952298593, 353162730, 174496792, 563179179, 48520007, ( -1), ( -1), ( -1), 749072982, 170562339, 257586772, 855442989, ( -1), 345134827, 923569349, 884408356, 800426111, 957758006, 878471570, ( -1), 442673159, 34698151, 541179317, 50159602, 721316823, 557785446, ( -1), 177714306, 358936702, 938822717, ( -1), ( -1), 828622537, ( -1), ( -1), ( -1), 107563133, 429059315, 157563794, 905668321, 434938419, 152340346, 619435901, 914675047, 260404694, 732566575, 16275568, ( -1), 120674781, 884933119, 41725866, 734151966, 370740731, 730150370, 480754794, 353781570, 43181125, ( -1), 593157172, 418424472, 96344894, 575259808, ( -1), 482260109, ( -1), 379156198, 537205226, 241211319, 805620702, 869798610, 624865822, 50179902, ( -1), ( -1), ( -1), ( -1), ( -1), 661291942, 730072391, 621613807, 415736634, 402878376, 979666619, ( -1), ( -1), 727387335, 169374851, 662219998, 562878787, 792970517, 22571308, ( -1), 145195951, ( -1), 260540396, 285183354, 665890876, 445716326, 420683847, ( -1), ( -1), 768613193, 163864396, 148122537, ( -1), 376568321, 509496604, 336182280, ( -1), 915582364, 650403297, 669058438, ( -1), 160598499, 645912140, 93288554, 659295230, 618385095, 993452918, 256633007, 420830198, 997193636, ( -1), 107439423, ( -1), ( -1), 278878917, ( -1), 771683939, 158835313, 643197079, 875723398, ( -1), 713685527, 597857196, ( -1), 945985291, ( -1), 466514990, ( -1), 773277960, 960041387, 955511130, 984238967, 807814979, 975644575, 711983833, 60190139, ( -1), 853539722, 934789658, ( -1), 680594183, 589525696, 845270334, 947836552, 69775208, 124098962, 831030393, ( -1), 180059612, ( -1), 908737104, ( -1), ( -1), 329546531, ( -1), ( -1), ( -1), 99961749, 703407935, 132376658, ( -1), ( -1), ( -1), 302908165, ( -1), 107922151, 564215314, ( -1), ( -1), 616136193, 992187391, ( -1), ( -1), 999899286, 278141104, ( -1), ( -1), 402728954, 107661563, ( -1), 794977195, 154632364, ( -1), 559659955, 805293861, ( -1), 81589031, 219314703, 746585626, 183825730, 867020135, 49025421, 548796093, ( -1), ( -1), 384935112, ( -1), 345526793, 956448041, 5702791, 519702442, 711156305, 732620756, 553007280, 13000278, ( -1), 936101033, ( -1), 156035668, 477893751, ( -1), 869618708, ( -1), 56964007, 315009071, 730115765, 581583813, 323805020, 409915931, ( -1), ( -1), 87127025, ( -1), 517968432, 35855663, 132466249, 115035404, ( -1), 379159479, 808641564, 399765344, 125536559, 15291154, ( -1), 770407810, 516874418, 570379276, 102301690, 954417881, 851265603, 67174704, 552663582, 112603884, ( -1), ( -1), ( -1), 28113489, 785314761, 47746501, ( -1), ( -1), 724097795, 669285081, 758204673, ( -1), 206536938, ( -1), ( -1), ( -1), 497307009, 833964088, 341471337, 803970954, 318398830, 234445560, 339387994, 185726897, 40568008, ( -1), ( -1), 492777965, 164049590, 134059662, 949681130, 873402532, 136854757, ( -1), 573945001, ( -1), 58561727, 952904442, 818128995, 405952424, 3954512, 55836141, 137612540, 198068539, 982899901, 905364306, 554928784, 748847834, ( -1), 612723421, ( -1), 975223468, 937271301, 123927310, 520711605, 51942213, 452615939, 396987169, 661845214, ( -1), ( -1), ( -1), 45369244, ( -1), 845284094, 702900404, 871514532, 983442520, 466108871, ( -1), 696110536, ( -1), 136798194, 678023570, 944843785, 22604721, 581783450, ( -1), 857650690, 888279370, 253537043, 566663959, 948922840, 292532423, 799800138, 371607839, ( -1), 726208357, ( -1), ( -1), 73987974, 159438833, 92765751, ( -1), 788963583, ( -1), 61007205, 65644155, 804208944, 149406070, 410667949, 336572105, ( -1), 267344169, 972424842, 138173321, 852462897, 901519072, 764182996, 557544, ( -1), 980633250, 284424062, 732412958, ( -1), 112492808, 242566680, 500220879, 870726679, 986357428, 812774770, ( -1), 736290226, 205784943, ( -1), 391862806, 83670521, 760073226, 444742605, 59206839, 750254205, 972485024, 372238777, ( -1), 316704131, 105564959, ( -1), 84665694, 249166425, 148715765, ( -1), 16314614, 415241288, 280586727, 996088869, 713960438, 127136934, 171667910, 69771945, 389812416, ( -1), 584646390, 569990128, 104466930, 179197238, 866563467, 539775488, ( -1), 660325143, 50310383, ( -1), ( -1), 866844648, 604593010, 155571276, ( -1), ( -1), 587433539, ( -1), 129123986, 242776351, 860365316, 731341055, ( -1), 937629458, 777285878, ( -1), ( -1), 782029330, 188988623, 877349161, 917375270, ( -1), ( -1), 130738780, ( -1), ( -1), 703050112, 736231994, 966589250, 912714627, 432721831, 963483007, ( -1), ( -1), ( -1), 341619882, 112690982, 994162335, ( -1), ( -1), 749320186, 935747073, 321890888, ( -1), 169808424, 24726679, 779250877, 157036851, ( -1), 72137264, 721570234, ( -1), 796598731, ( -1), 656558969, 461407956, 267949866, ( -1), 150036736, 759847237, 921925763, 263167537, 518973093, 877634294, ( -1), 754536663, 37485560, 757774049, ( -1), 111688471, ( -1), 48089926, ( -1), 823815431, 974572683, 431704105, ( -1), 262113754, 489287188, 257015038, 904909315, 674048379, 231577943, 627171627, 365570453, ( -1), 489998028, ( -1), 958495786, ( -1), 837784600, 264982259, ( -1), 972582233, 692052712, 31919273, 808527616, ( -1), 359709117, 475437385, ( -1), 79000516, 84471309, ( -1), 120219667, 28623712, 576272640, ( -1), ( -1), 850543559, 613477680, 161345499, 899656238, ( -1), 761536507, 386505285, ( -1), 646018514, 214806701, 410866163, 918783977, 800855899, ( -1), ( -1), 121129691, ( -1), 648594554, 876672312, ( -1), 5219514, 51154625, 444013513, 888155537, ( -1), 363853437, 176525186, ( -1), ( -1), ( -1), 629583867, ( -1), 728717887, 370724723, 406942773, 65588738, ( -1), 79243759, ( -1), 227588861, ( -1), ( -1), 68172069, 219086429, ( -1), 840146257, 469273383, ( -1), 851596228, 424023394, ( -1), 147385422, ( -1), 597180334, 456508676, 786415557, 304363190, 634797149, 611454388, 391446736, 29001837, 645282469, 891018066, ( -1), 181044909, ( -1), ( -1), 458011813, 291283726, 304126885, 580565368, ( -1), 969585403, ( -1), 137244988, 348859390, 960435896, 897620149, 630108916, ( -1), ( -1), 375019117, ( -1), ( -1), 102885980, ( -1), 696266997, 616683536, ( -1), ( -1), ( -1), 714102819, ( -1), ( -1), 883443302, 496309687, 554267984, 737650970, 607232050, 784097967, 226625533, 516112255, 341580815, 350086639, 506056263, 266372940, ( -1), ( -1), 264539745, 312374633, ( -1), ( -1), 743197200, 898191189, 402673945, 823690285, 700553706, ( -1), 625013037, 461384131, ( -1), 125484958, ( -1), ( -1), ( -1), 422779923, ( -1), ( -1), 815888508, 119975523, ( -1), 220239098, 309463304, ( -1), 879530935, 296411022, ( -1), 425215518, ( -1), ( -1), 594679971, 400278624, 964646314, ( -1), 430899575, 530458870, ( -1), 960256301, 112605492, 665488230, 455049335, 669169954, 793056337, 486617984, 534881067, 814910582, 421857888, 232402075, 199668453, ( -1), 735378048, ( -1), 712339611, 36722522, 525278770, 505519281, 683644744, ( -1), 72952853, 91587431, 981580364, 913377533, ( -1), 551989529, 305428467, ( -1), 161093416, ( -1), 157773194, 567286957, 767446457, 459360634, 815184592, 533060417, ( -1), 208461378, ( -1), ( -1), 672463311, 985157683, 253915298, 54253819, ( -1), 618208460, 617719085, 364471146, ( -1), 181690551, 619001379, 385612432, ( -1), 384427019, 341806922, 927773559, 724271119, 711058822, ( -1), 238084100, ( -1), ( -1), ( -1), 360758486, ( -1), 132390864, ( -1), 964829700, 852200291, ( -1), ( -1), 236247969, ( -1), ( -1), 726286298, ( -1), 792291939, ( -1), 471539054, 340280731, 280855635, ( -1), 1799118, 199312761, 723966911, 29090477, 353364578, 15530086, 546199901, 343362440, 238839812, 703470291, 31396782, ( -1), 856886705, 763631739, ( -1), 902840641, 455441185, 861490515, 672411096, 584331257, 55625840, 945510780, ( -1), 170272103, ( -1), 913470211, ( -1), 633828777, ( -1), ( -1), ( -1), 967713215, 105843965, ( -1), 864939588, 316961783, ( -1), 130251076, 978942976, 77104224, 615324184, 647403872, ( -1), 148211190, 724917918, ( -1), 500315302, 170022105, ( -1), 941390724, ( -1), ( -1), 954453402, ( -1), ( -1), 101228503, 317176428, 299460782, 70470068, 673834247, 658463079, 740528503, 101328936, ( -1), ( -1), ( -1), 135985674, 963393356, 994819389, 512869932, 971745186, 835385814, 11962477, ( -1), 570326862, ( -1), 274672297, ( -1), 440492226, 599347800, ( -1), 134305638, 289690434, 26686300, ( -1), 549660667, ( -1), ( -1), 900810864, 996627338, ( -1), 255696238, 726784735, ( -1), ( -1), 969391051, 44535065, ( -1), ( -1), 707262653, 981232219, 135239616, 25056992, 79399676, 64312535, 897457370, 886893439, 705977494, 561741135, ( -1), 410068562, 618549819, 706666836, ( -1), ( -1), 602854827, 744462941, 341601561, ( -1), 756098435, 358450133, ( -1), 504200837, ( -1), ( -1), ( -1), 724604045, 992321243, 472530674, 67465686, 670523808, 157757339, 432111475, ( -1), 608447607, ( -1), 983794032, 652605401, 979285100, 47637237, 510652472, 202617528, 792107323, 43162746, ( -1), 585114681, ( -1), ( -1), ( -1), 775476953, 19666624, 750117163, 34137164, ( -1), 678661660, ( -1), 523423624, ( -1), 429351829, ( -1), 783531418, 417906251, ( -1), 545055750, 993293026, 540515385, 58751508, ( -1), 523424266, 395725056, ( -1), 505988998, 604992122, ( -1), ( -1), ( -1), ( -1), 469945255, 881783349, 187599527, 408247640, 667734548, 98248591, 189480880, 897856445, ( -1), 996907216, 727693572, ( -1), 812526446, 973193825, 860850645, 327002385, 157609586, 553576148, 620963800, 780536069, ( -1), ( -1), 191405958, 821074540, ( -1), ( -1), 182368073, ( -1), 247834258, ( -1), 316401300, 519976577, 88596638, ( -1), 536900414, 530835521, 828123790, 165540652, ( -1), ( -1), 724049861, 675271834, 390876290, ( -1), ( -1), 876441859, 901970555, ( -1), ( -1), 504231647, 977271519, ( -1), ( -1), 401925715, 87743585, 178018065, 595280751, 24493228, 230246442, 402659372, 580355602, ( -1), 551858653, 55176809, 876354906, 56688750, 816840179, 720462453, 535927389, ( -1), 989771231, 145991879, 129390098, 540111044, 229276374, 69066543, 522343772, 82730883, ( -1), 383391156, 811314885, 669618488, 117258930, 452822648, ( -1), 178958940, ( -1), 987549752, 840109442, ( -1), 642833267, 571592978, 461057460, 685894757, ( -1), 567888391, 655769725, 789018579, 164552122, 62648067, 167433226, 355485507, ( -1), 403429830, ( -1), 409509915, 320427347, 275885757, 379699199, 395196116, 939825593, 732681858, 467550708, ( -1), 681506886, 739872817, 201009186, 219181206, 970832289, 293694328, 507728102, ( -1), ( -1), 883355982, ( -1), 260672336, 365771733, 38591573, 167321741, 166134801, ( -1), 892776604, 585636739, ( -1), 687442736, 368301850, ( -1), ( -1), ( -1), 692658676, ( -1), 3413450, 680166384, 285389588, 120674218, 356013634, 799759387, ( -1), ( -1), 373553109, ( -1), 825289066, ( -1), 819982117, 547251053, ( -1), ( -1), 714199209, 842203140, 905370965, 340273391, 530518300, 103856123, 818123507, ( -1), 969295106, 246344661, 875723132, ( -1), 27157440, 929712140, ( -1), ( -1), 540802164, 485025889, 7542955, 614830570, 772011297, 307775073, 653635600, 720001537, ( -1), 698383938, 420104979, 670780441, 575145214, 22973290, ( -1), ( -1), 846460197, 814845871, ( -1), 33255365, 435827639, ( -1), 901239195, 669091874, 918946046, ( -1), 382692318, 791875366, 451358202, 6858967, 729656960, 748492932, 177747845, 452747682, ( -1), ( -1), ( -1), ( -1), 76404727, ( -1), 681783558, 170020443, 196834673, ( -1), ( -1), 461830084, 50656236, 573539497, 367767202, 504111136, 560697215, 349280344, 457090811, ( -1), ( -1), ( -1), 113660718, 756214666, 658599641, 618524012, 84841786, 81472739, ( -1), 483182920, 310319423, 91030084, 442016115, 510944826, ( -1), 120135455, 581927266, 948458800, ( -1), 402409365, 94687680, ( -1), 970443678, 969895509, 505309801, 537244826, 934852010, 118914357, 940834779, ( -1), 833969969, ( -1), 800808673, 798213620, 859729571, 60752739, 719882457, ( -1), 839142610, 929041342, 413435952, 849935744, ( -1), ( -1), ( -1), 778994217, 697404947, 368683489, ( -1), 94717297, ( -1), 235452672, ( -1), 452808016, ( -1), 607792757, 23629874, ( -1), 445253839, 521884583, ( -1), 357216378, 918701522, 947083779, 584920081, 913964810, ( -1), 798876518, ( -1), ( -1), ( -1), 670394620, 180935513, 23398793, 840898407, 703706412, 689588933, 316602831, 245780964, ( -1), 116522652, 883838684, 567785958, 776053097, ( -1), 533167674, ( -1), ( -1), ( -1), ( -1), 247349847, 393135327, ( -1), ( -1), 422303542, 849514649, ( -1), 70260157, 127824081, 211513082, 98065140, 158079692, 161623924, 58209611, 81887873, 327705841, 64304531, 907337012, 128046507, ( -1), 575023689, ( -1), ( -1), ( -1), ( -1), 937623243, ( -1), ( -1), ( -1), 193247786, ( -1), 386061687, ( -1), ( -1), ( -1), 241486917, 838223161, ( -1), 365332069, 777118206, 35445875, 57452369, 486687309, ( -1), ( -1), ( -1), 811260709, 203308177, 345151644, 437009586, ( -1), 518264054, 921930056, ( -1), 765558212, 82454130, 814164764, 317348735, 169843716, ( -1), ( -1), 54091380, ( -1), 486783001, 983165850, ( -1), 638808614, ( -1), 474901892, ( -1), 334324030, 620382041, ( -1), 828479486, ( -1), ( -1), ( -1), 884065226, 384246623, 592144228, 630489797, ( -1), 390735298, ( -1), 761551844, 643645048, ( -1), 243605775, ( -1), 976848792, 852102800, 845315435, 909925164, 200465571, 212448925, 790017376, 300211869, 608490957, 520146264, 969921206, 901457481, ( -1), 177970799, ( -1), 994769462, 628926056, 947943296, 934142647, 267244138, 287474502, 966886085, 392705103, 787684712, 659622530, 899724847, 90801155, ( -1), 414941371, ( -1), ( -1), 437123160, ( -1), ( -1), 742011113, 303986509, ( -1), 519157260, ( -1), ( -1), 877265905, ( -1), 220871094, 352808950, ( -1), 870115653, 899278850, 933279306, 547886574, 475669273, 321123473, ( -1), 687371610, 807349252, ( -1), 621978218, ( -1), ( -1), 640160533, 473110088, ( -1), 612338545, 467525862, ( -1), 787297535, ( -1), ( -1), 22227773, 358834040, ( -1), 340019655, 782397792, 710826101, 351794599, ( -1), 938226725, 38629868, ( -1), 685491656, 72423897, ( -1), 91697307, 952732299, ( -1), 728825807, 984057637, ( -1), 717357766, 592070208, ( -1), 562492363, ( -1), ( -1), 947208631, 939529794, 210750999, ( -1), 649831121, 222467229, ( -1), 99864067, 561378152, 179338043, 175390289, 495190361, 864610693, 4606283, ( -1), 520578775, 647887243, 441659846, 985821286, 702396601, 803847348, ( -1), 529015147, 382253543, ( -1), ( -1), 516704737, 579293838, 318500886, 301596245, 336184371, ( -1), 639734966, 655386597, ( -1), 404207224, ( -1), 690069030, 225956001, 842282064, ( -1), 334404990, 938939264, 209522964, 367799056, ( -1), 412810175, 690806569, ( -1), 164474177, 673222301, 129583269, 502917463, ( -1), ( -1), 981030054, 59609196, 171673823, 977778541, ( -1), 166414148, 261636548, ( -1), 733273585, ( -1), ( -1), ( -1), 482928583, 327841417, ( -1), 577874200, 369603283, ( -1), ( -1), 423267881, ( -1), 740216766, 371909098, ( -1), 178170385, 478398555, ( -1), ( -1), 900732349, 91403058, ( -1), 233676838, ( -1), 144076181, ( -1), ( -1), 955894467, ( -1), 721445310, 216327520, 597986771, 370645862, 612727117, 656829665, 619641127, 852112648, 924000056, ( -1), 204614200, ( -1), 773565930, 417954353, 223416082, ( -1), 188371603, 480479243, ( -1), 980742017, 723164285, 126421338, 645133494, ( -1), 432135054, 846442593, 152111315, ( -1), 845229339, 145501129, ( -1), 121052239, 38542486, 222248662, ( -1), 967012993, ( -1), ( -1), 52015479, ( -1), 282591272, ( -1), ( -1), 789290154, 164572692, 187568032, 403464482, ( -1), ( -1), 538161092, 235487661, ( -1), 876404828, 64454408, 508248930, 941029189, 835018402, 79000771, 718895335, ( -1), ( -1), ( -1), ( -1), ( -1), 369576371, 97489942, 204681355, 735826464, ( -1), ( -1), 780520205, 21959836, 491700051, 190670769, ( -1), ( -1), 448286764, 535568478, 929106449, ( -1), ( -1), 496416604, 865836221, 407529097, ( -1), 552800803, ( -1), ( -1), ( -1), 706604881, 666245405, 976661854, 758853357, 204195515, 406622329, 13315121, ( -1), 577866978, ( -1), 431727560, 172155459, ( -1), 939299017, ( -1), 25721746, 162243878, ( -1), ( -1), 500452531, ( -1), 954828254, ( -1), ( -1), ( -1), ( -1), ( -1), 927589300, ( -1), 430331775, 636447707, 162241553, ( -1), 553329738, 541241877, 613768237, 349113772, ( -1), 159284798, 717341975, 913240606, ( -1), 36643214, 274845334, 649375441, 590930934, 509123866, 858161444, 766746485, ( -1), 484958209, ( -1), 339464752, ( -1), 929840311, 273221358, 206746291, ( -1), 344165285, 47135508, 633880849, 503310492, ( -1), 316638852, 408823727, 713823041, 574319176, ( -1), ( -1), 278093976, ( -1), 912673245, 378810497, ( -1), 150879188, 293446419, 682878892, 135604052, 696538200, 467984473, ( -1), ( -1), ( -1), 284557469, ( -1), ( -1), 11893320, 479023841, 435221030, 877345876, 485023253, 157278251, ( -1), 296785816, ( -1), ( -1), 239054236, 214836167, 272356553, 797966616, ( -1), 350428387, 950822178, 650420903, 923810565, 176395963, 415338542, 191178397, 875154445, 342101909, ( -1), 92512293, ( -1), 743489968, ( -1), 637490176, 696534211, 708629599, 251161842, ( -1), 195541636, 369025817, 972003915, ( -1), 888902881, 413302194, 795121879, ( -1), 506175526, 905289864, 429301453, 23239989, ( -1), 636273075, 45794098, 50154416, 94741733, 278428157, 450130320, 632192003, 623754334, 915556740, ( -1), 648833436, 113514918, 173535166, 823021835, 203657070, 90974544, 479298859, 914833036, ( -1), ( -1), ( -1), 143223642, ( -1), 510673092, ( -1), 307853367, 131425133, 166412574, 838228399, 257318204, 500879225, 633261201, ( -1), ( -1), 450154730, ( -1), 670186641, ( -1), 397326233, ( -1), 899103186, 876692929, ( -1), 96668412, ( -1), 48412331, 390105622, 689389746, 37570804, ( -1), 245265222, ( -1), 14637901, 825326688, ( -1), ( -1), ( -1), 974609261, ( -1), 958368127, ( -1), 307190696, ( -1), 155326519, 469384648, ( -1), ( -1), 960860313, ( -1), 368186897, ( -1), 489701001, 512673540, 470908631, 774851433, ( -1), 818907608, 75129936, ( -1), 449822951, 647645930, 372432467, 315014894, ( -1), ( -1), 563455769, ( -1), 746113529, 201202921, 906222120, ( -1), 860123387, 348994748, ( -1), ( -1), 564071014, ( -1), 471936522, 935716218, 409571030, ( -1), 904637486, 1930729, ( -1), 377594966, 87324731, 473111865, ( -1), 755016529, 901393923, 500987949, 713484847, 753526093, 319396549, 503996403, 765671398, 623136690, 539455451, 105348220, ( -1), 158850324, 559443698, ( -1), ( -1), 695776211, 985371375, 699301560, 266987943, 438219130, 573168203, ( -1), 38192980, 877041226, 909295297, 128646076, 745529247, 388721170, 467618154, ( -1), 736349988, 131655060, 553434045, ( -1), 997584640, ( -1), 822429674, 234061527, 599992138, 864420770, 546256280, 75093020, 239551683, ( -1), 255197387, 829643601, ( -1), 36067933, 913606565, 637785751, 999622740, 323826874, 893221801, ( -1), ( -1), ( -1), 479768897, 788108762, 311230427, ( -1), 188248666, 495432580, ( -1), 171658374, 216095961, ( -1), ( -1), 956226842, 503172031, 631910377, 413152513, ( -1), ( -1), 291770281, 776502783, 541832809, 53333103, 727353783, ( -1), 961245446, ( -1), 553979706, 57646080, 817547456, ( -1), 762304990, 722085747, 853242559, ( -1), ( -1), ( -1), ( -1), 612939310, 757545177, ( -1), 172607877, 600328548, 816757213, 734055958, 525903880, 66261039, ( -1), 185995570, 842614264, 338524590, ( -1), ( -1), 759199331, 938287767, 481865433, 60570021, ( -1), 538387983, ( -1), ( -1), 12554046, ( -1), 593839435, 828167524, 226023415, ( -1), 192852403, 376315585, 549826725, ( -1), 218322851, ( -1), 193846896, 736441991, 164020269, ( -1), ( -1), 199712754, 491397717, 8754104, 112534432, 907506445, 772058689, 15414931, 71536470, 521515286, 596501982, ( -1), ( -1), ( -1), 636625735, ( -1), 995133316, 687312147, 616168195, ( -1), 765538629, 231085635, 563635165, ( -1), 3953072, 827335774, ( -1), 117483628, ( -1), ( -1), 340279716, 981649478, ( -1), 489521584, 695606952, 206856356, ( -1), 289064807, 921997389, ( -1), 19339899, 245275751, ( -1), 217184360, 524194984, ( -1), 318969503, ( -1), 911342905, ( -1), ( -1), 759257750, 792504234, 418097935, 640659212, 575374908, 454645736, 700211384, 757923963, 538751230, 762795384, 188796011, 245654915, 653014166, 595719802, 307910051, 340978462, ( -1), 532434177, 789910516, 630521154, ( -1), 137987317, 565583405, 351922942, ( -1), ( -1), 999545024, 875617749, 333466573, 240543738, ( -1), ( -1), 713727520, 279148933, 527240179, 86419977, 661145298, 236461223, 440532879, ( -1), 352566171, 372163876, 127076064, ( -1), 30792697, 902666501, 607438294, 546814520, ( -1), 337021849, 64177775, 106565760, 292365169, 52471657, 558094358, ( -1), 27826742, 766535407, 908519923, ( -1), 857252123, 181968012, 693323176, 135042192, 68986039, ( -1), 534238764, 363870132, ( -1), 892826590, 61346209, 623117786, 276636667, 857529996, ( -1), 931855313, 729598540, 890909056, ( -1), ( -1), ( -1), 36773060, 466506828, 133501008, ( -1), ( -1), ( -1), 329433955, ( -1), ( -1), 962823469, 57151580, 622935154, 702348220, ( -1), 82564762, ( -1), 786549499, ( -1), 605924842, 136479372, 451918539, 320258017, ( -1), ( -1), 928922889, 468857953, 294279155, ( -1), ( -1), ( -1), 643547201, 761110140, 439777520, 674255669, 895384627, 413703645, 279947034, 156645285, 188500933, 276681839, 986460113, ( -1), 603919147, ( -1), 644401701, 347108347, ( -1), ( -1), 480507874, ( -1), 804763749, ( -1), 547462977, 858857063, 637407119, ( -1), 295313301, 46964656, ( -1), 96674647, 452574120, 813310915, ( -1), 154519699, ( -1), ( -1), 192923111, ( -1), 402420045, 701695328, 940056499, 186395938, ( -1), ( -1), 883062812, ( -1), 1725901, 729720748, 904256943, ( -1), ( -1), ( -1), 456050016, 906434179, 858059398, ( -1), ( -1), 788025944, 890087177, 728550626, 83196239, 637340858, 653546360, 795643425, 682883542, ( -1), ( -1), ( -1), ( -1), 189939005, 749892444, 303179289, ( -1), 760486741, ( -1), 477658846, 879858480, ( -1), 404481290, 816043688, 959087554, 819283583, 240159231, 836538141, 254628961, 421416407, 962443330, 28408580, 645463501, ( -1), 646020344, 760561204, ( -1), 979211595, ( -1), 197847248, 669081350, ( -1), 478321082, ( -1), 85684007, 979247880, 292002322, ( -1), ( -1), 477371329, ( -1), 654870922, ( -1), ( -1), 169707133, 761865155, ( -1), 11979333, 775039576, 221964675, 879855425, 347957699, 332107489, 689612353, 244478363, 260915697, 461459518, 124611614, 332264291, 824251155, 280103779, 401852119, ( -1), ( -1), ( -1), 787751236, ( -1), 561141627, 337452439, 853760764, 696694711, 326323247, 791990445, ( -1), 240262563, 347783537, ( -1), 634901250, 258916751, 487093316, 629746557, 578618582, 227298362, 882952621, 533496470, 124076009, ( -1), ( -1), ( -1), ( -1), 889198898, 922677486, ( -1), 320674795, 326684948, 826864800, 234029439, 621193659, ( -1), 744142230, 121282634, 784607506, 590021273, ( -1), 360586282, 766078749, 408269363, 766314506, 828003064, ( -1), ( -1), 674424824, ( -1), 654745614, 506514128, 520543631, 279073904, ( -1), 125486076, 446466898, ( -1), ( -1), 468613788, 320471697, ( -1), 720821640, ( -1), 118095742, ( -1), 857121960, 678927429, 151365133, ( -1), 893708699, 729843285, 97181430, 126734204, 719322631, 780842896, 67970823, 314610446, 744130857, ( -1), 361101772, 109915155, 149166692, ( -1), 937244201, 767971309, 765533932, ( -1), 138206634, 248009838, 212136327, 745354564, ( -1), 926265411, ( -1), ( -1), 507032993, ( -1), 816196972, 85524933, 634479821, ( -1), 181112634, ( -1), 91734692, ( -1), 126993718, ( -1), ( -1), 657861394, 902498258, 645327786, 917200471, 959934068, 328020752, 889131520, 674604860, ( -1), 468050293, ( -1), ( -1), 570323416, 365033874, ( -1), 553243095, ( -1), 776480919, 143764530, ( -1), 857325061, 52037432, ( -1), 30851444, 486953520, 133427930, 309040248, 915383862, 565522624, 20218085, 893659242, ( -1), 99823454, 49511949, 737427938, 668286647, ( -1), 180065721, 425492418, ( -1), 969649261, ( -1), ( -1), 876943569, 353426982, 989244523, ( -1), ( -1), 562807273, 230264241, 353067365, ( -1), ( -1), 132361234, 512659921, 420614030, 73916698, 699531483, 110188158, 415950134, 466161113, ( -1), 451280262, ( -1), ( -1), 121814942, 442369566, 702537016, 348014521, 897062631, 621717182, 169011220, ( -1), ( -1), 218564801, 32555200, 98345268, 985315659, 597468255, 959167017, 418243535, 285617811, 256587130, 284592380, ( -1), ( -1), 130798179, 801527499, 193832372, 475980663, ( -1), 866746549, 475544235, 919324461, 358210087, 700285534, 468546593, ( -1), 178406988, 568803339, 263882108, 46163966, ( -1), 152831152, 26723819, 751918320, ( -1), ( -1), 457104293, 921966020, ( -1), 743750859, 687145986, 618845940, 234500588, ( -1), 769861198, 558997184, ( -1), 146997532, ( -1), 457115602, ( -1), 305749371, 899917696, 283083416, 892342899, ( -1), 429235181, 51703265, ( -1), 323366710, 53599414, ( -1), 499361721, 527967617, 300020395, 26265277, 408978085, 479998269, 413272805, ( -1), 144185665, 867964790, 29233650, 222775385, 867210287, ( -1), 161776204, 371778942, 21363395, 832451272, 611853728, 76428680, 730406319, ( -1), 174746474, 871176143, 816015609, 165700432, ( -1), 836217485, ( -1), 715256376, 585578742, 769234660, ( -1), ( -1), 138968204, 627408083, 446336168, 855240671, 940988130, ( -1), 686235054, 649376572, ( -1), ( -1), 989070857, 327680161, ( -1), 552406307, 850259374, 880137875, 801992789, 104074632, 278000389, 841440835, 98823466, 844342479, 936328851, 177885436, 107475636, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 930610936, ( -1), ( -1), 12675815, ( -1), 383352915, 7229155, 888694640, ( -1), 163840162, ( -1), ( -1), 686058417, 158739866, 475085014, 332382056, 737291279, 177913625, 482154117, 864934645, 893576173, ( -1), 565215312, 414015463, 402316694, 55319698, 738595432, 581455553, 805589231, ( -1), 439174810, ( -1), 128516846, ( -1), 428341805, 463336291, ( -1), 267193516, 967961287, 799540462, ( -1), 601838286, ( -1), ( -1), 93269292, 307455500, 198435399, 547120202, ( -1), 609694731, 881304473, 227461369, 398218382, 992237037, 498824292, 5534895, ( -1), 576355388, ( -1), 298420428, ( -1), 958467603, 822291545, 364947442, 106741940, 546824748, 131123773, ( -1), 517588311, ( -1), ( -1), 289616854, 957187112, 405724938, 942647688, ( -1), 168616618, 760926381, ( -1), 294029837, 656932060, 350957696, 65966983, ( -1), 490792188, ( -1), 163117839, 252707386, ( -1), 935221264, ( -1), ( -1), 815503303, 395767713, 131393231, 851607065, 884838784, ( -1), ( -1), ( -1), ( -1), 269781437, ( -1), ( -1), 930470859, ( -1), 930240461, 962863478, 965537977, 600632697, 182103199, ( -1), 849776392, 717156254, 103147487, 828616782, 656102238, 225897904, 997977677, ( -1), 453023037, 590494099, 534704310, ( -1), 355956330, ( -1), 394913255, ( -1), 657831985, 258108663, 567072508, 474832665, 46107697, 995179442, 687245547, 816587359, 387925800, ( -1), 111696189, 296816847, 222863684, 595066259, 668092667, ( -1), ( -1), 370289142, 334525806, 647949746, 41846201, 902885529, 880764986, 644594541, 675401813, ( -1), 198154349, 308278550, ( -1), ( -1), 463684793, 514293589, 886441835, 678786563, ( -1), 654571254, 218479251, 237487732, 925889793, 319449258, 57129592, ( -1), 832180901, 858345239, 806204891, ( -1), 947505125, ( -1), 800994510, ( -1), 346997536, 759124700, 659560871, ( -1), 588807524, 463534368, 432776685, 66277541, 423897825, ( -1), 817748611, ( -1), 43116758, 919064517, ( -1), ( -1), ( -1), 431480611, ( -1), 955257684, 602006126, 814389641, ( -1), ( -1), 11935347, 42244974, ( -1), 548689127, ( -1), 924738607, 603806835, ( -1), 540334919, 587719193, 414241683, 665207758, ( -1), 322985873, ( -1), ( -1), 695207895, ( -1), ( -1), 456336907, 488078910, ( -1), 59654713, 5938001, ( -1), ( -1), 92357694, 153994655, 812763647, 368147277, 231192840, 407123290, 407591671, 944878456, 114716690, 253540990, 14059801, 773683116, 293168856, 637739461, 563119229, ( -1), 962668580, ( -1), 855012281, ( -1), ( -1), ( -1), 402529912, 284657816, 870204784, 71304083, 994972524, 340419705, 248740172, ( -1), ( -1), 655166330, ( -1), 369324751, 822871494, 153230108, ( -1), 560047708, ( -1), 739481614, ( -1), ( -1), 630869486, 5222068, 271780019, 314492450, 61171255, ( -1), ( -1), ( -1), 380264589, 583146397, 629362095, 689663441, 150585658, 121028727, 285552191, 127426160, 262437824, ( -1), 489472032, 218820795, 397210390, 653423516, 200434728, 139843866, 600414609, 230845711, ( -1), 763290908, 793866630, 367848654, ( -1), ( -1), 476840799, 739266264, ( -1), 152095299, ( -1), ( -1), 949029765, 178234326, ( -1), 333831398, 323040874, 262700407, ( -1), ( -1), 125897960, 544563293, 502991555, 935374950, ( -1), 287744900, 301864536, ( -1), ( -1), 641005820, 299462328, 44570168, ( -1), ( -1), 311693708, 452078315, 519471209, 876213052, 118437109, 476406809, 204950557, ( -1), 132269705, 563333316, 926901728, ( -1), ( -1), ( -1), 205220662, ( -1), 5821846, 636776468, 3125983, 956233993, 738391357, 684469695, ( -1), ( -1), ( -1), 144899833, 558369507, 261521052, 484777754, ( -1), 33700639, 937134222, 92319512, 665132760, ( -1), ( -1), 716233841, ( -1), 412767688, 535614916, 414669678, ( -1), 787481852, 844237225, 478767434, 330051695, 107331069, 736112791, 200962463, 930363757, 361476723, ( -1), 539989636, 677725372, 597785680, 358923939, ( -1), 744867791, 367722011, 528406810, ( -1), 207760447, ( -1), 938204561, 961351433, 41279150, 544404314, 72867527, ( -1), 611357533, 525924962, 217236589, 631819030, 431319864, 573684218, 587685628, ( -1), 565014688, 46458701, ( -1), 247086684, 438977825, 770214613, 451657967, 909873997, 257817986, 227446564, 351548691, ( -1), 960576147, 944442802, 146675421, 663581626, ( -1), 364536770, 59345003, 845990280, ( -1), 7250510, 179382148, ( -1), 84321189, 954339449, 882085089, 339791341, 705931858, 954049578, ( -1), 57916620, 917028497, 847194884, 838812635, 707730026, 450278808, 266986072, 838207154, ( -1), ( -1), 178396259, 762454302, 819621715, ( -1), 558887255, ( -1), ( -1), 19482980, 159039202, 573814653, 889744143, 687624092, 408305756, ( -1), 819420612, 162131151, 398087942, 790570300, 776628391, ( -1), 235786054, ( -1), ( -1), 396199285, ( -1), ( -1), 341784360, ( -1), 870686975, ( -1), 765569888, 135574201, ( -1), 435892135, 218441177, 957509691, 764272118, 771811718, 846321694, 608970981, 941850747, 628286830, ( -1), 128253764, 71009589, 771777025, 698667801, 757529013, 325044894, 480418387, ( -1), 210359527, 520147534, 917513148, ( -1), 223845229, 38960840, 924811719, 230117850, 785045133, 296030105, 143046045, ( -1), 4067177, 802793491, 725177649, 735021725, 916009318, ( -1), 347372152, 703196314, 915214777, 153016374, ( -1), 742815363, ( -1), 496252267, 543431994, ( -1), 358627726, 158427814, ( -1), 355537157, 641063142, 671678272, 103120992, ( -1), 899994647, 370447556, 514641110, ( -1), 473071908, 449377950, ( -1), 859534137, 815587096, ( -1), 605976303, 987764637, 667054524, 431649175, 225503181, 665433899, ( -1), 144209133, 944786078, ( -1), ( -1), 839969405, 408582905, 653146426, 958147471, 392587226, ( -1), 223860302, ( -1), 961553934, ( -1), 601677363, 551742156, 108352135, 399989145, ( -1), 65355158, 803242562, ( -1), ( -1), ( -1), 391057068, 775341664, ( -1), 909270907, 453900437, 436408333, 90922343, 406997401, 727153361, ( -1), 247335469, ( -1), 599741519, 311164495, 332389678, 163647124, 361054576, 867680555, 332481030, ( -1), 337048314, ( -1), 639085987, 607538706, 228447678, 366065040, ( -1), 2665782, ( -1), 190737744, ( -1), ( -1), 581637765, ( -1), ( -1), 885030829, ( -1), 82667033, 550415798, ( -1), ( -1), 321170629, 659261138, ( -1), 942413396, 859602837, ( -1), 540120730, 307423427, ( -1), 334652637, 385392167, 616937952, ( -1), 320035402, ( -1), 724167834, ( -1), 317017272, 824850278, 873265421, 338551018, ( -1), 314517053, 811963159, 128180481, 81038153, 82478800, 451640482, ( -1), 95329731, 527853618, 18569658, ( -1), 481244361, ( -1), ( -1), 249553977, 104721266, 467356250, ( -1), 580873560, ( -1), 114691694, ( -1), 23969720, 464873635, ( -1), 356219542, 513970926, 400259535, 185143371, 303558730, 165257720, 512876961, 844083309, 876651353, 833191503, 847534085, 36872673, 277473866, 399147415, ( -1), 44366383, 526811532, 426946913, 215098288, 41844128, 810593417, ( -1), ( -1), ( -1), ( -1), 630448501, 677390981, 760657789, ( -1), ( -1), ( -1), 875027802, 757972043, ( -1), 558826091, 393978845, 13826872, 111732616, 237377644, 500439715, 786190507, 645044234, 560215348, 966742617, 911273200, 741828797, 138936574, ( -1), 754355686, 251758561, ( -1), ( -1), ( -1), 719576092, 684132456, 554007690, 885506946, 525409680, 223399427, ( -1), 747371051, 794541130, ( -1), 472610148, 514578448, 71273640, 705302594, ( -1), 496364412, 894309705, 158429009, ( -1), 710616208, ( -1), 350251881, ( -1), ( -1), 457152055, ( -1), 16104284, ( -1), 328214346, 524847965, 893713226, 548729776, 129324698, ( -1), 736978891, 74955205, ( -1), 440830700, ( -1), ( -1), 601492742, 21254171, 777148408, 587878621, ( -1), 777654230, 411720896, 845895068, ( -1), 110341401, ( -1), 273742099, 998113321, ( -1), 620949947, ( -1), 583686194, 828789912, 845916027, ( -1), 394686480, 30578361, 81654563, 23511096, ( -1), 659352103, 134443703, ( -1), 523010419, 810560382, ( -1), 973834969, ( -1), 533606711, 246524501, 996288521, 503616358, ( -1), ( -1), 730932759, 416312666, 819353393, 915948760, 484419560, 234703885, ( -1), 21816002, 594611040, 424310950, 350079915, 820961283, ( -1), 894886444, 570359096, ( -1), 124990449, 188683671, ( -1), 443440753, 299135865, ( -1), 218753380, 491873990, 964154523, ( -1), ( -1), ( -1), ( -1), 955245796, ( -1), 654329982, ( -1), 450092611, 865357294, 250757773, ( -1), ( -1), 914451008, 959948997, ( -1), 894764011, ( -1), 594141967, 670442088, ( -1), 608247590, ( -1), 387589341, 938708940, 816227059, 812756712, 583374473, ( -1), ( -1), 777632236, ( -1), 177805500, ( -1), 826845841, 536442225, ( -1), 399186988, 525088327, 253803075, 329782596, ( -1), 665315768, 702381802, 38385214, ( -1), 104740893, ( -1), ( -1), ( -1), 318801934, 885758667, ( -1), ( -1), 911518657, 4708245, 285857908, 724744797, 448584830, 729477275, 149169006, 851467948, 249586289, ( -1), ( -1), ( -1), 791178304, 713790803, 952693297, 761801525, 192737250, ( -1), ( -1), 541766332, ( -1), 77171391, 730490225, ( -1), ( -1), ( -1), 234505095, ( -1), 858385870, 717067702, ( -1), 728843833, ( -1), 556586183, 744333808, ( -1), 494980181, ( -1), ( -1), 116396784, ( -1), 239532539, ( -1), 911541507, ( -1), ( -1), ( -1), 136875926, 3502578, 519202009, 586628039, ( -1), 286582035, 946638772, 52036928, 109022540, ( -1), 816318084, 536138894, 564431280, 718238472, ( -1), 818981850, 975509873, ( -1), 488838851, 426325079, 312895858, 310996982, ( -1), 24094394, ( -1), 649149205, 884072924, ( -1), 388134985, 657068148, 684174113, ( -1), ( -1), 277533018, ( -1), 82942015, 337875324, 877642283, 420909479, 73531119, ( -1), 217036349, 130800923, 669087442, ( -1), 35281129, 892790891, 650759177, 598171390, 490333360, 527764859, ( -1), 764821808, 238444540, ( -1), 453194496, 816510454, 889299385, 346723886, ( -1), 306034514, ( -1), ( -1), ( -1), 677203151, 198757072, ( -1), 945391914, ( -1), ( -1), 232537639, 773218962, 677069834, ( -1), 345335157, 422812096, ( -1), 766617231, 212837120, 75624618, ( -1), 547170681, 245921564, ( -1), 739776517, 315189019, ( -1), 478851209, 349799160, 714899975, 160890429, 244411911, ( -1), 230989366, 560519738, ( -1), ( -1), ( -1), 38322916, 994216906, ( -1), 701261670, ( -1), 825164453, 147662221, 442940839, ( -1), ( -1), 883146665, 86916192, 977907602, 288528691, 204333405, ( -1), 451761161, 524042361, 667013806, 198707820, 690266888, 675728780, ( -1), 964290264, 324419655, 235479404, ( -1), 1784476, 742328302, ( -1), 412233368, 78512838, 513063511, ( -1), ( -1), 690585112, 462928314, 931387359, 451655857, ( -1), 665354531, 895114201, 917605427, 423815166, 619025985, 345657447, ( -1), 393859655, ( -1), 352737624, ( -1), ( -1), 807905234, 373677051, 13021210, ( -1), 737795860, 443673616, 227135138, 263319509, 867589661, 483853384, ( -1), ( -1), 918837052, 504792979, 836342913, 936545681, 760447034, 196725569, ( -1), 735957034, 774117662, 940291731, 870605688, 628060931, ( -1), ( -1), ( -1), 858258408, 20102795, ( -1), 12738121, 250924865, ( -1), 498168071, 893440121, 986430536, ( -1), 976392173, ( -1), 899956630, 487253031, 931834859, ( -1), 242599063, ( -1), 243934448, 11648171, 115172878, 646966501, 24089025, 313356476, 510466551, 519862562, 807688751, ( -1), 672838068, 764682175, 945877224, 59099152, ( -1), 590504040, 567217734, ( -1), 876680413, 117367607, ( -1), 286732095, ( -1), 600449734, 189386504, 229025698, 395378915, 870288235, 271009693, 484464803, 367907303, 186463494, 653519228, 986039043, 641880972, 617895865, 196922190, 19277664, ( -1), 895765467, ( -1), 830264569, 892813446, 273637209, 881791900, 512632830, 612777777, 262590464, 719483268, 190248612, 624833893, 853210825, ( -1), 264568383, 27751000, 36978770, 175561771, 300930733, 355863449, 634459229, 145016520, 549137536, 741897320, 54351573, ( -1), 248074535, 843195976, ( -1), 120521617, 236067113, 782270618, 698763578, 341066302, ( -1), 642121616, 307443237, 361290695, 954844511, ( -1), ( -1), 787699525, 552052506, 890131074, 204215683, 304539799, 941404406, 32582603, 573613916, 681338609, 137400468, 224407648, 954291777, 963201455, ( -1), ( -1), 555297592, 624058942, 315690087, 92343445, 436600523, ( -1), 117085813, 548521990, ( -1), 267833762, 738180561, 506843570, 257807920, ( -1), 500239774, 191327694, 633279974, 117826286, 782916262, 142962352, 728950480, 596790698, 549122141, 116246651, 204730775, ( -1), 870167749, 563257075, 75184709, 260184279, 103982557, 45141122, 617614336, 824542831, 590181282, ( -1), 854225759, 30912878, 862201720, ( -1), 467967, 688266731, 913097278, 421456346, 333815797, 612517674, 735849728, ( -1), 359615401, ( -1), 570874195, 21731321, 751613390, 570608155, 72054628, 630487613, 733383363, ( -1), ( -1), ( -1), 599593273, 59424142, 322905850, ( -1), 903558034, 996865232, ( -1), 459019184, 998149751, ( -1), 493616905, 603007550, ( -1), 740809804, 510318262, ( -1), 455905160, ( -1), 12208056, 474114688, ( -1), 70056402, 32432767, 466010006, ( -1), 218337262, ( -1), 678374276, ( -1), ( -1), ( -1), 462818328, ( -1), 642277094, 811755830, ( -1), 427404601, 590299424, 360938723, 145756871, 259421158, ( -1), 873699086, 694582750, 595416904, ( -1), 560816493, ( -1), ( -1), ( -1), ( -1), 770815874, 485263008, ( -1), 633242683, ( -1), 393657950, 217798006, ( -1), ( -1), 718262819, ( -1), ( -1), 19185695, 789618828, 206122704, ( -1), ( -1), ( -1), 204358419, ( -1), 578837310, ( -1), 62388507, 242476124, 425342891, 951410377, 778202780, 552211428, 705633109, 716104726, 465984698, ( -1), 953826939, 871060626, ( -1), 153794766, ( -1), 963390516, ( -1), ( -1), 553664014, 799450528, 352072756, 476263014, ( -1), ( -1), 786716472, 401981924, ( -1), ( -1), ( -1), 428108776, 867676141, 423345014, 976559894, 123239846, 120383085, 685109848, 524256191, 510703926, 768904802, ( -1), ( -1), 65929210, 766067840, ( -1), 671186841, 770361382, ( -1), 324604675, 59048593, ( -1), 435927989, ( -1), 892532268, ( -1), ( -1), ( -1), 954463023, 122899450, 639447331, 291444179, 201024195, ( -1), 967595397, 243534584, 130753102, 416092048, ( -1), ( -1), 177820071, 592889029, 515238116, 930189741, 834392158, ( -1), 491766017, ( -1), 231045340, ( -1), 679108050, ( -1), ( -1), ( -1), 237159981, 852632654, ( -1), ( -1), ( -1), ( -1), 786635279, 243674895, 915170029, 6607156, 541940986, 921682742, 532756963, 535359626, 621769189, ( -1), 199244554, 835802246, 865183493, ( -1), 769342289, ( -1), 74282665, 626561583, ( -1), ( -1), 904315416, ( -1), ( -1), 314044569, 220761327, 34319101, 887083465, 857648866, 444212497, 321732187, 123698237, 675978856, 474756820, 691694790, ( -1), ( -1), 9646414, 382353707, 194546354, ( -1), 520952019, ( -1), 917640713, 616934858, 391172624, 187912155, ( -1), ( -1), 422135594, ( -1), 578305180, 571988422, 867071492, ( -1), 224641045, ( -1), ( -1), 934885992, 574175314, ( -1), 696840122, 814857707, 741882971, 615078436, 900255860, ( -1), ( -1), 139106419, ( -1), ( -1), 230561815, 785069489, 746598213, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 123957898, 650597220, 463432202, 160160044, ( -1), 354224652, 491524502, 965838827, 827889023, ( -1), 119211929, 426470362, 153939667, ( -1), 435907329, 328484113, 400411534, ( -1), 498033191, 360642948, 640482793, 331320224, ( -1), 151827858, 389029094, 689279828, 909093437, 207269147, 571279604, ( -1), 199346776, 218439750, 88703750, 591889133, 956458156, ( -1), ( -1), 142197270, ( -1), 431964180, ( -1), ( -1), 57217798, 329832298, 883081772, ( -1), ( -1), 272016681, 30118594, 193280352, 978892812, 478114288, ( -1), ( -1), 64734054, 906384885, 366137524, 194909769, 88496499, 851510189, 10726600, 418223473, ( -1), 338718309, 81944915, 725013266, 657602227, ( -1), 964406751, ( -1), 261986663, ( -1), 14763235, 689876063, ( -1), ( -1), ( -1), ( -1), ( -1), 200022005, ( -1), ( -1), ( -1), 538672893, ( -1), 969345951, ( -1), ( -1), 300999374, 546032989, 823223586, 414795042, 327840073, 35791008, 899347836, 495905414, 928672999, 855814545, 203638146, ( -1), 456543479, ( -1), 918750390, 626044605, 524288501, ( -1), ( -1), ( -1), 154377395, 649824612, 188121751, 411540763, 358269396, 801966272, 954308321, 62156837, ( -1), ( -1), 196990885, 850781921, 691590386, ( -1), 547939056, ( -1), 603895534, 836793408, 127080683, 345200162, ( -1), 157816330, 999673045, 412312724, 704880117, ( -1), ( -1), 13198998, ( -1), 42919021, ( -1), 335534563, 19451887, 525216844, 235310821, 600196134, 580270867, 75689523, 926673254, 403272492, 393528723, ( -1), 44489338, 746398700, 29114273, ( -1), 587360241, 872993836, ( -1), 23418726, 784873638, 711717504, ( -1), 674556388, ( -1), 423955689, 837652903, 776709861, ( -1), 111581846, 143012813, 987390201, 482298708, ( -1), 553168810, 184088269, 692656116, 598046011, ( -1), 965054633, 50031512, 824963352, ( -1), 116453829, 418227618, 837334919, ( -1), 800949784, 654008758, ( -1), 935382296, ( -1), 975680211, 264678313, ( -1), 989740445, ( -1), ( -1), ( -1), 733405396, 84581019, 872666100, 323435532, 754307973, ( -1), 762011341, ( -1), 227581849, 952939472, 930201255, 626412400, 876923985, ( -1), 232905232, 463102302, 474064630, 123816868, 490504599, ( -1), 71045242, ( -1), ( -1), ( -1), 409278509, ( -1), ( -1), 471218305, 215324170, ( -1), 999680221, 589528181, ( -1), 485960044, 118407682, ( -1), ( -1), 918143993, ( -1), 403407764, 412393844, 378202718, 868584650, 874521357, 981112045, 666226054, 464945901, 459742098, 811615720, 737650260, 146463799, 901352058, 223846937, 442416018, 614018043, 866564738, 817618711, 859000906, 227174248, 286945143, 988371107, ( -1), ( -1), 101491944, 120585097, 878907240, ( -1), 192986356, ( -1), 769979700, 9568611, ( -1), 132352078, 361077110, ( -1), ( -1), 354506168, ( -1), ( -1), 591278981, 773390231, 219918442, 813778940, 772063002, ( -1), ( -1), ( -1), 921378791, 724671044, ( -1), 987129750, ( -1), ( -1), 66635536, ( -1), 72484466, 933706496, 621619105, 959012610, ( -1), 490109314, 27970811, 86372489, 507691147, ( -1), 763780560, 464845189, ( -1), 122202159, 607702412, ( -1), 478574444, 69305140, 323723330, ( -1), ( -1), 562139457, 409181141, 671608429, ( -1), 879520563, 717140627, 231550881, 746823696, ( -1), 910346070, ( -1), 958549841, 930622109, 569264584, 859855617, 653673758, 237626675, ( -1), 725880834, 590778796, ( -1), 445828445, 761270837, 466682195, 399641845, 432997026, ( -1), 728346587, ( -1), ( -1), ( -1), 609185267, ( -1), ( -1), 465603928, 80062091, ( -1), 518210993, 868539153, 765223964, ( -1), 553732772, ( -1), 788051906, 337560963, 937331666, 67452004, ( -1), 489074556, 452096714, 738500820, ( -1), 12309081, 898157895, 352336790, ( -1), 654392311, ( -1), 182705100, 206656305, 975627967, ( -1), 648219500, ( -1), 392217474, 636361464, 572791541, ( -1), ( -1), 794025565, 613579437, 942870469, 264204768, ( -1), 417301079, 374016862, 956508195, 177119644, 399170016, ( -1), 147678476, 664348841, ( -1), ( -1), ( -1), 101909949, 95291160, 327621887, 132101154, 319687917, 483253535, ( -1), 715471569, 160935716, ( -1), 721315757, 478552761, 904720028, 463920145, 514310278, 861521105, 520300923, 516901919, 873622708, 70910733, 876616311, 299851066, ( -1), 685346520, ( -1), 850142692, 827737522, 454668876, ( -1), 939302521, 222445810, ( -1), 406765936, 281151270, 947436430, 985556496, ( -1), ( -1), ( -1), 401186495, 378167447, 769725116, 572453898, 331915977, 481263047, ( -1), 501710303, ( -1), 924735028, 35745255, 756518320, 587696712, 746535586, 857767865, 420462562, 373336571, 396773601, ( -1), 378473926, ( -1), ( -1), ( -1), ( -1), 904399660, 720494777, ( -1), 650064199, ( -1), 545036262, ( -1), 764095665, 559434933, 810717137, 825634754, 860448876, 351447106, 877904439, 588609475, ( -1), 296598826, ( -1), 964769327, 360616430, 685634875, 773992575, 994162552, 665581308, 534882596, 887997708, 473022780, ( -1), 839695217, ( -1), 976585559, 553426611, ( -1), 762490005, 108322250, 121357578, 27561638, 435166803, 492580040, 467801598, 711355300, 497664875, 656194958, 298072063, 778290340, 93590759, ( -1), ( -1), 955640051, 64878846, 988152146, ( -1), 576412902, ( -1), 6419376, 729240623, 910315572, 893550062, 989261129, 870708547, 18883871, 228335060, 543106965, 280905477, ( -1), 148190477, 247992103, ( -1), 7973057, 109648888, ( -1), 195379448, 980370060, 871984001, ( -1), 457588525, ( -1), 725899479, ( -1), 693555421, 460290463, 679683371, 292437801, 509292346, 348414561, 438059233, 257750717, 487502636, 305955960, ( -1), 687170316, ( -1), ( -1), ( -1), ( -1), ( -1), 321294370, ( -1), 716554929, 358181798, 871622123, 722426901, 273071605, ( -1), ( -1), ( -1), 412983763, 497249691, 700778134, 111853648, ( -1), ( -1), ( -1), 407983983, ( -1), ( -1), ( -1), ( -1), ( -1), 156915250, 183115000, ( -1), ( -1), 415437979, 357123276, ( -1), 673934857, 306648718, ( -1), 518847548, 478607805, 520369780, ( -1), ( -1), 361813205, 738965763, 590125961, ( -1), 536844787, ( -1), 251808669, 989706806, 772518888, ( -1), 717581122, 416536561, 791232082, 330141587, 223118334, 816083202, 404429781, ( -1), 185598151, 165497002, 595473231, 36486788, 546066938, 834348967, 701215184, ( -1), 790034384, 179217095, 90885493, 870352537, 84767143, ( -1), 292923014, 50886699, 585404261, ( -1), 49249867, 652504820, ( -1), 382439727, 47228332, ( -1), 839736194, 820878412, 501143950, 155144742, ( -1), 959847237, 701800301, 756962047, 279129785, 703241672, 947817946, ( -1), 768837880, 331367148, 533900692, ( -1), 535767785, ( -1), ( -1), 102948347, ( -1), ( -1), 112905030, ( -1), 824987221, ( -1), 423343289, 206419382, 105409148, 536834937, 152710369, 120485758, 516454231, ( -1), 496695885, 461260457, ( -1), 477380148, 375898504, 316772742, 146278920, 631797797, 882788028, 302385286, ( -1), 403365036, 304137356, ( -1), ( -1), 217452384, 241287008, 629479355, 805060662, ( -1), 138396642, ( -1), ( -1), ( -1), 510743292, 697064803, ( -1), 638759591, ( -1), 57453394, ( -1), 570377916, ( -1), 7203086, 810349766, 239887288, ( -1), 12573561, 715596315, 438215715, 730751753, 942049176, ( -1), ( -1), 880800782, 388506764, 175492688, 503217276, 479666205, 217882004, 59170758, 427749618, ( -1), ( -1), 907151038, 138778703, 58036980, 693714790, 111285897, 876106109, ( -1), 36985812, 416131434, ( -1), 367135815, 280127538, ( -1), ( -1), ( -1), ( -1), 911905949, 103579261, ( -1), 483817409, 897116362, 623784543, 100901047, 892858432, 247051543, 245972416, ( -1), 378699817, 241936491, ( -1), 216565983, 69527525, ( -1), ( -1), 463290593, 946798413, 199146813, 147801371, 593849285, 19841837, 421799172, 355784774, 25992347, ( -1), 430708137, 419988234, 947083332, 516468122, 239581032, 279373740, ( -1), 830169997, 25023130, ( -1), 586866941, 524439814, 675986857, 886828641, ( -1), 103403088, ( -1), 165215446, ( -1), 503388842, ( -1), ( -1), 311795120, 955525257, ( -1), 819826773, 866984767, 806388190, 976656609, 382016340, 472957867, ( -1), 518785714, 142034072, ( -1), 967159846, 578796391, 955591196, ( -1), 756507596, 99226084, 37193297, 395800101, 945504896, ( -1), ( -1), 420977604, 838486645, 911735197, 817722298, 502163832, ( -1), ( -1), 133821070, 392146842, 358479093, 273414586, ( -1), 435656818, 173360280, ( -1), ( -1), 756185281, 908230259, 512959472, ( -1), 691290409, 313228115, 169288379, 747718589, 704875622, 443749996, ( -1), ( -1), 618261548, 242038796, 753089052, 475580104, 534088250, 741334062, 385324056, 668132690, 601377163, 817946690, 366510362, 97659197, 586983877, ( -1), ( -1), 966594914, 407446707, 199100969, 379382199, ( -1), 849847973, 580799177, 515668576, 656800757, ( -1), ( -1), 96939093, ( -1), ( -1), 985198169, 373886599, 492486718, ( -1), 962186495, ( -1), 894948973, 268947597, ( -1), ( -1), 807923615, ( -1), ( -1), 946983227, 291886892, 565592135, 693146403, ( -1), 447919382, 104979784, 663234335, 58422019, 891096483, ( -1), 105190853, 264263733, 5511429, ( -1), ( -1), ( -1), 977530248, 417153751, 541409441, ( -1), 405928021, ( -1), ( -1), ( -1), 266083273, ( -1), 702335707, 738688943, 391489863, 468233308, 663438993, 844679517, ( -1), 385715773, ( -1), 429655220, 263756125, 285879196, 517267978, 512170206, 6306512, 14317421, 511839082, ( -1), 663839612, 32011319, 473981993, 678698109, 883172743, 898562464, ( -1), 918233677, 946429945, 467462788, 61079264, 346584252, 733609761, 106474865, ( -1), ( -1), 353573710, 130127415, 225987823, ( -1), 738224742, 916523813, 488667757, 783103603, 297420867, ( -1), ( -1), ( -1), 432484393, 112352938, 394529392, 12949020, ( -1), 203105296, 18037863, 587247822, ( -1), 396757808, 397955608, ( -1), ( -1), 39021004, 961369437, 46074808, ( -1), ( -1), 40833784, ( -1), 288579550, ( -1), 652191442, 917928091, ( -1), 912395486, ( -1), 166651181, ( -1), ( -1), 330281093, 16174310, ( -1), ( -1), 953651197, 530642497, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 395841808, 183187555, 413553502, ( -1), 555046225, 351636826, 545601830, 915200616, ( -1), ( -1), 928679212, 388455338, 767523653, ( -1), ( -1), ( -1), 133826868, 765201868, ( -1), 360069314, 981908025, 77174749, 700551787, 206916204, 880706338, 796880576, 697434270, ( -1), 321064291, ( -1), ( -1), 693480617, 401133184, ( -1), 269970289, 704370914, 167417123, 880132514, ( -1), ( -1), 276160655, 76522121, 965352653, 79412867, 1307137, 943145225, 261443624, 832102965, ( -1), 313528527, 123011040, 796986682, 669434573, ( -1), 141917246, 760083817, ( -1), 466241611, 91004706, 804569880, 286687429, ( -1), ( -1), 789191400, 982225627, 961348579, 996749196, 664571377, 660658146, 885359543, ( -1), 162720536, 788515117, 310670292, 898329892, 265133961, 422084514, 530139003, 424997620, 48968873, ( -1), 124246867, 653143129, 425387455, ( -1), ( -1), 410516550, 42207289, 722406326, 738414131, 30541526, ( -1), ( -1), ( -1), 169350897, 476783992, 269650248, ( -1), ( -1), 798949531, ( -1), 230635063, 81132108, ( -1), 533696463, 469034557, 374019910, ( -1), 377014406, ( -1), ( -1), 711832596, ( -1), 765902508, 824634645, 741234112, 205441380, ( -1), 191120956, 516626303, 947344986, 176096501, 351127808, 228067385, 594653149, 797535054, ( -1), 911076089, 844344475, 618982205, 210198323, 19744075, ( -1), ( -1), 593974225, 189075893, 940579189, 857225314, 374825920, 909450509, 592288322, 325885162, 663237702, 466519321, ( -1), ( -1), ( -1), 192978760, 85615854, 979219066, 862796067, 338783995, 426302454, 481020508, ( -1), 666699756, 182818925, 495974495, 913859577, ( -1), ( -1), 642121607, 210238744, 334717984, ( -1), 261069561, 960052955, ( -1), ( -1), 215828212, 954017656, ( -1), 567144038, 394916446, ( -1), ( -1), 36439404, ( -1), 262674313, ( -1), 138955565, 357616996, 862214578, 996090222, 808446471, 126961796, 530608374, 289961642, 291668772, 993956090, ( -1), 669928617, 192405182, 537486774, ( -1), 597726707, ( -1), ( -1), 144446723, ( -1), 690118221, 599923936, 547507916, 843142591, 232738467, 634883743, 898162147, 27499907, 213980430, 880345154, 340300043, 47589508, 232930854, ( -1), ( -1), 328702928, 965431301, 194517877, ( -1), ( -1), 155094257, ( -1), 877739766, 686727772, 629081157, 594765149, 260849312, 634062321, ( -1), 674020692, 217215001, ( -1), 417471647, ( -1), ( -1), 196396566, 959771599, 179029115, ( -1), 509525813, 215645359, 317290711, 433212161, 375193862, 267145724, 142115322, 318310056, 633747242, 477779596, 98385895, ( -1), 114166837, ( -1), 225862778, ( -1), 838095462, 336092823, 51848394, ( -1), 495622390, 83153747, ( -1), 224623414, 977465749, 809993383, ( -1), 730270408, 415821902, 879930611, 99142352, 436799463, 49727021, ( -1), ( -1), 814290158, 883337571, 293692502, ( -1), ( -1), 646183297, ( -1), 661264790, 47513928, ( -1), 314488127, ( -1), ( -1), 555344314, 390746038, 369294681, 360051511, 917851793, 152195878, 335307671, ( -1), 917989498, 681589744, ( -1), 490225181, 218121142, 689449245, ( -1), 178807411, ( -1), 683282914, 422423326, ( -1), 379460096, 206842901, ( -1), ( -1), 582968160, ( -1), 815429134, 687644594, 316509210, 336304837, 254073214, ( -1), 667768656, 811581336, 578017387, 445021689, 71967153, ( -1), ( -1), ( -1), 262627228, 826137480, 593889361, 859776711, 972963194, 534107931, 756233806, 896903517, 465672094, ( -1), 997517163, 98511477, 461841047, 82093963, 732422510, ( -1), 923762413, 639495887, 811198539, ( -1), 986361878, 590510233, 470304636, 731313055, ( -1), 839179455, 686461616, 957193519, ( -1), 572863605, 736863581, 125106243, ( -1), ( -1), ( -1), ( -1), 168298999, 980666614, 677065999, ( -1), 947952598, 222820166, ( -1), ( -1), ( -1), 725032962, 662098785, 215978713, 448109612, ( -1), ( -1), 666315605, 973689819, 671145723, 566711796, 145453502, ( -1), 576437891, ( -1), 664472332, 650228957, 397973849, ( -1), 943851324, 760372554, ( -1), 182866532, 425176486, 522285784, 92561577, 620044518, 130604050, 170104418, 626697892, 741641176, ( -1), 886932749, 209579601, 375973983, 963786957, ( -1), 270217913, 209433540, ( -1), 712452635, 426133730, 65557744, ( -1), 684214049, 713031905, 434858780, 536124167, 24638465, 871866261, 399665078, 148481434, 950332364, 899006555, 849882124, ( -1), 976407901, 286365138, 363600036, 772468551, ( -1), 128651194, 80534683, 910981900, 744762154, ( -1), ( -1), 136468132, 165377894, 898295881, 34140186, 235784549, 566734635, 526399010, 941409488, 634917616, 686768871, 502541291, 634374361, 176117443, 839463628, ( -1), ( -1), 807788412, 255634969, 109463109, 283266327, 612690362, 647322881, 652648736, ( -1), ( -1), 552704670, ( -1), ( -1), ( -1), 165243936, ( -1), 776944941, 438948950, ( -1), ( -1), 703089191, 903599073, 916757595, 220062314, 383076305, 231121523, 534995270, 636185707, 2244581, ( -1), 960840812, 22590748, ( -1), 914176906, 566885167, 198423333, 271995537, 726634155, ( -1), ( -1), ( -1), 285348806, 100836287, ( -1), 867714521, 441208800, ( -1), 123270330, 28003344, 273379263, 593872200, 152697303, 78700973, ( -1), 199718697, 716005378, 299224432, ( -1), ( -1), 932977076, 667052412, 682089093, ( -1), 430532768, ( -1), ( -1), ( -1), ( -1), ( -1), 53363528, ( -1), ( -1), 671778993, 69623504, 58348532, 445675004, 34337138, 331590277, 243682968, 691425462, 199173951, 59486029, 7094846, 259124742, 546949870, 683475603, 808695402, ( -1), 762908293, 829471256, ( -1), ( -1), ( -1), 25947504, 105398093, 578845952, ( -1), 610441997, 250037553, 864117310, ( -1), ( -1), ( -1), ( -1), 848209169, 192270540, 804323748, 747493394, 420197415, 404882330, ( -1), 290560186, 423531970, ( -1), ( -1), ( -1), ( -1), 198363349, 758763201, 9548546, 820679184, ( -1), ( -1), 375793589, ( -1), 714875144, 555649049, 692049149, 416572103, 661293673, ( -1), 148190838, 497910429, ( -1), 634982592, ( -1), 281670286, 50966360, ( -1), ( -1), ( -1), 717602173, 781675794, ( -1), 963782659, 191894785, 381257440, 839384857, 944108261, 868153372, 105808137, 404458233, ( -1), 853429326, 554109250, 874447778, 526342776, ( -1), 186459699, 539190876, ( -1), 99741684, 572980372, ( -1), 601383623, ( -1), ( -1), ( -1), 127345081, 560876239, 835556133, 752033217, 664083931, 301203387, 975875732, 218613209, 522924220, 688350489, ( -1), 380331896, ( -1), 653384481, 919024268, 884957165, 645290046, 297716619, ( -1), 84246401, 3750316, 29043057, ( -1), 567690188, 124393983, ( -1), ( -1), 510595662, 985984310, 243300831, 489074788, 826904489, 580034978, 168790757, 82107889, 826203269, ( -1), 280388470, ( -1), 862506256, 701645837, ( -1), ( -1), ( -1), 746034193, 746929920, 702858423, 898360451, ( -1), ( -1), ( -1), 965542784, 748758871, ( -1), 166854415, 947360113, 630425383, ( -1), ( -1), 119090273, 435086396, 180832625, 911937947, 709837994, 521943417, 656756932, ( -1), ( -1), 631083539, 204945659, 724670218, 818732809, ( -1), 551244721, 122607992, 4495176, 711640979, 662381820, 34243730, ( -1), 514603791, 942463263, ( -1), 696635118, ( -1), 246093796, 424287916, 950413637, ( -1), ( -1), 729259405, 159788014, 604156628, 652774400, ( -1), ( -1), 75092133, ( -1), 717147985, 770141253, 836257809, ( -1), ( -1), 830609585, ( -1), 61452187, 197673711, 399357366, ( -1), ( -1), ( -1), 651571726, 374813295, 105559605, ( -1), 423444931, 103566300, 427077445, ( -1), ( -1), ( -1), 444437990, 991864282, 537966297, ( -1), ( -1), 10037644, 563507084, 773316971, 649078556, 847211678, ( -1), 273105568, ( -1), 95564884, 212458102, ( -1), 854195190, ( -1), 409965897, 324838808, ( -1), ( -1), 301348605, 494490640, ( -1), ( -1), 998485831, 148644562, ( -1), ( -1), ( -1), 67624879, 795362692, 849705392, 321185764, 790841412, ( -1), ( -1), ( -1), 540159036, 54832833, 245358571, ( -1), 114084021, ( -1), 460442674, 587502616, 608395849, ( -1), 435639667, 294144257, ( -1), ( -1), ( -1), ( -1), ( -1), 840944685, 791448812, ( -1), 339836479, 925187647, ( -1), 136717254, 498241061, ( -1), 943000481, 432114110, 292349756, 768216512, ( -1), ( -1), 47727573, 364281135, 781504815, 325967895, 878920071, 460010958, ( -1), 361465557, 581214959, 392726770, 724028226, 85812807, 395507465, 731739707, 431977048, ( -1), 309095595, 652092052, 936929465, 422740696, ( -1), 299149601, 862805652, 739771879, ( -1), 93859415, 319122855, 184547111, ( -1), 893356196, 628168259, 253151196, ( -1), 446985311, ( -1), 27650416, ( -1), 392398004, 602662593, 23113549, 939259453, ( -1), 329012486, 104950352, 514324688, ( -1), 975931756, ( -1), 370112601, 126980297, 397417257, 146390150, 525764434, 63733821, 577340820, 431777988, ( -1), 587194581, 177354322, 999640924, 509918960, 550197013, ( -1), ( -1), 574351736, 729024167, ( -1), 821244351, 463983198, 904301415, 37467533, 941886472, ( -1), ( -1), 526399126, 39819914, 54165981, 567792501, 339810363, ( -1), 752364658, ( -1), 253911562, 188506571, 879024997, 973934110, 489696096, ( -1), ( -1), 562689281, 251585692, 668929758, ( -1), 990930117, ( -1), 958492575, 748788425, 18876682, ( -1), 630618128, 954590172, 738142451, 265453959, 936962623, 294244060, ( -1), 202421652, 129132480, ( -1), 290962542, ( -1), 883036535, 884371447, ( -1), 22782482, 223150462, 109196022, 453441302, 556325625, 387523268, 382396031, 585204177, ( -1), 702202744, 457892188, 128930159, ( -1), ( -1), 84705796, 871240931, 331445404, 426495805, ( -1), 64585976, 594391848, 979265813, ( -1), 489998206, 917869914, 640341312, 873570379, 225099339, ( -1), 486153896, 723097246, ( -1), ( -1), 574442466, 182220602, ( -1), 514609667, 700081904, ( -1), 11640580, 972493022, 715806971, 911162859, 674866768, 461041863, 637355684, 457025181, 912748560, 403498337, 717193386, 690056000, 309567821, 445007106, 955318878, ( -1), ( -1), 169765573, 358903675, 265250591, ( -1), ( -1), 666177488, ( -1), 727154822, 442649465, 895650199, 901808600, 51119527, 981293401, 933416472, ( -1), 10940312, 481027443, 220319305, 267679653, 453658571, ( -1), 767303222, 434341855, 447204833, ( -1), 768272251, 779210359, ( -1), 448758398, ( -1), 63850284, 464301010, ( -1), 16358829, 660660158, 104997278, 39002459, 924674886, 463821282, 170780111, 925401596, 194812448, 283784569, 228008115, 216979733, ( -1), ( -1), 714637252, 988963609, ( -1), 954024545, 315942169, 290471128, 164744144, ( -1), 270884654, 515023525, 764025183, 500815585, 91304649, ( -1), ( -1), 964267544, ( -1), 894705457, ( -1), 611134897, 977881630, ( -1), 372269268, ( -1), ( -1), 532667495, ( -1), 826728958, 892822758, 610293887, 625848664, 491408455, 301563136, ( -1), ( -1), 744780257, ( -1), ( -1), ( -1), 310471869, 712947766, ( -1), ( -1), 538980487, 971189568, 791171532, ( -1), 315782337, 376650693, ( -1), 865412458, ( -1), ( -1), 126745600, 546817451, 667838566, ( -1), ( -1), 640261027, ( -1), 45601632, ( -1), ( -1), 260860688, ( -1), 993509732, ( -1), ( -1), ( -1), 598351280, 852104514, 178889881, 799580470, ( -1), 156090897, 92853858, 272086256, 798229877, 820728308, 643101122, 426158251, 642054223, 440310359, 935218362, 736369785, 890827877, ( -1), 9220539, ( -1), 202104, ( -1), ( -1), 933791973, ( -1), ( -1), 771591051, 105744908, 317393354, 954653387, 417192312, 631288592, 221325764, 634432849, 12413742, 369122900, 182220466, 194962671, 197634924, ( -1), ( -1), 755315653, 45189345, 135821405, ( -1), 430025314, ( -1), 904384745, ( -1), 666954051, ( -1), ( -1), 893917053, ( -1), ( -1), 836579680, 696153016, 433990229, 254421378, ( -1), ( -1), 210676147, 835671050, 759216313, 330472926, ( -1), 906328285, 468326379, 955424827, 386081197, 993422040, ( -1), ( -1), ( -1), 987888708, ( -1), ( -1), 958031946, 663154408, 411206007, 65985192, ( -1), 152333629, 114127848, 12172128, 473984777, 405287874, 921488062, 533381405, 81582402, 194735190, 549864211, 252533319, 163509102, 96148337, ( -1), ( -1), 490337025, 607530115, 803896489, ( -1), 417100150, 828320722, ( -1), 525797329, 155231986, ( -1), 212205528, ( -1), ( -1), ( -1), 3613279, 295270615, 849945930, 388257053, ( -1), 822675587, 94363835, 700697379, 11218636, 995627742, 572721624, ( -1), ( -1), ( -1), 766209973, ( -1), 917942791, ( -1), 678840618, ( -1), 167116694, 957724585, 835799607, 259473255, 536833646, 932688907, ( -1), 672699232, ( -1), 154707272, ( -1), 596022721, 776677339, 627146354, ( -1), 986674991, 858620057, 668655576, 406736724, 387335234, ( -1), 901134417, ( -1), ( -1), 646780495, ( -1), 633582143, ( -1), 715403644, 555756067, 192464599, ( -1), 48748863, ( -1), 872036381, ( -1), 300815528, ( -1), ( -1), 968689687, 721219727, ( -1), 718686822, 371377480, 732854419, 974389327, 232951148, ( -1), 654185763, ( -1), 355154409, 48840542, 533408171, 913841960, ( -1), 316861944, 922338620, 838573206, 177703448, 510263093, ( -1), 717195832, 681979975, 313142627, 960566466, 306519201, 792645959, ( -1), 134264271, ( -1), 214866694, 293307963, 985491846, ( -1), ( -1), ( -1), 967495811, 418213153, 205297924, ( -1), ( -1), 62371671, 779131266, 879617752, 868788116, ( -1), 194421000, 449164746, ( -1), 915616961, ( -1), 760963292, 668745617, ( -1), ( -1), 586146810, 303500150, 53615997, 254815908, ( -1), ( -1), ( -1), 662099175, 7397962, ( -1), 234188150, 551527487, 506245552, 403862635, ( -1), 686271985, 790306857, 185327730, 904656673, 731987070, 386581118, ( -1), 219102321, ( -1), 477690565, 141164191, ( -1), ( -1), 450217995, 387346830, 646783087, 890336274, ( -1), ( -1), 908489536, 339460618, 836777891, 87687570, ( -1), ( -1), 133120592, 503789942, ( -1), 746596025, ( -1), 402428135, ( -1), 160707943, 57059170, 295872696, 383883568, 257079299, ( -1), 664213525, 825520539, 616128782, 921126058, ( -1), 144766247, 989879336, ( -1), 709282652, ( -1), 510143592, 301424760, 892847044, 902460192, 462531465, 434856981, 248454419, 842944653, 989361569, 967614111, ( -1), ( -1), ( -1), 240515444, 320131593, ( -1), 833093834, 355522115, 426064531, ( -1), ( -1), 709376728, ( -1), ( -1), ( -1), ( -1), 291915523, 522844797, ( -1), 221907021, 401433332, ( -1), 982964523, ( -1), 791530574, ( -1), 563720627, ( -1), 353226794, 971922013, 717153482, 412916021, 222265317, 830022031, 762609915, ( -1), ( -1), 13911988, 244169328, 542309690, 797011306, ( -1), ( -1), 864589212, 290322196, ( -1), 206637556, ( -1), 314453302, ( -1), ( -1), ( -1), ( -1), 249558220, 759996379, 707376072, ( -1), 976240347, 901725565, 644068285, 818137622, ( -1), 646915646, 801509160, ( -1), 288192744, 658069868, 337478297, 524836552, ( -1), ( -1), 861801101, 242125830, 771318901, ( -1), ( -1), 722884243, 507199210, 368346273, ( -1), 873981061, 423397008, 802832223, 364125002, ( -1), ( -1), 671009868, ( -1), ( -1), 700464560, ( -1), 771173669, 566736907, 926742809, 274756189, ( -1), 102314358, 937415422, ( -1), ( -1), 469588642, 513755876, ( -1), 395393167, 945104976, ( -1), 694355380, ( -1), ( -1), 641613883, 723538842, ( -1), ( -1), 812628161, ( -1), ( -1), 458179337, 375260016, ( -1), ( -1), ( -1), 611838670, 939332708, 727688052, 26489326, 397687371, 3104158, 756580619, 713557540, 289783614, 967522712, 475510910, 755719768, 928409366, 102710432, ( -1), ( -1), 175453930, 547921471, ( -1), 207999390, 718071151, ( -1), 68655552, 927129216, 290304194, 530854282, 291318020, 367910974, 447217475, ( -1), ( -1), ( -1), 919104463, 45708963, 320091584, 992289093, ( -1), 819926689, 933877619, 65835319, 233006104, 975691839, 793248598, ( -1), ( -1), ( -1), ( -1), 966586758, 433897367, 580471649, 421710614, 833540556, ( -1), 407314728, ( -1), 646905209, 81167006, 736471849, 579801254, 362247035, ( -1), 961759293, 698788214, ( -1), 866179220, 779723442, 291341738, ( -1), 724624638, 825992217, 706022324, 245242471, 234325895, 469734905, ( -1), 82094602, 286595418, 412222795, 860316106, ( -1), 957536382, 377157358, 941251776, ( -1), 963649387, 923546444, 23636053, 550628982, 748320762, ( -1), 672503770, 752149420, ( -1), 545736967, 872355339, 628282881, 263737766, ( -1), 92100523, 421432335, ( -1), 575340834, ( -1), 537934838, 776470500, 245482480, 346237578, ( -1), 610350466, 565964304, ( -1), ( -1), 315143985, 898872333, ( -1), 466774476, 661640770, 231462370, 83156846, 857910487, 419863510, 836644760, ( -1), 429057617, ( -1), 8368599, ( -1), ( -1), 845466352, 653709345, ( -1), ( -1), ( -1), 723196243, ( -1), 622275782, 8043904, ( -1), 493163844, 357617341, 78577187, ( -1), 392497290, 26216002, ( -1), 157363969, 286627267, ( -1), 499165411, ( -1), 160761808, 789264381, 230830138, 727585127, 191558103, 126962930, 10091142, 324666407, 94910257, ( -1), 858629931, 817376920, 372626515, 788148817, 130632484, 2303096, ( -1), ( -1), 842718160, 13566181, 884753537, ( -1), 761221789, ( -1), ( -1), ( -1), 645137559, 119256295, 966876032, 23915256, ( -1), 218738789, 583494193, ( -1), 657620403, 899659216, 648676489, 829472460, 483144695, 627468271, 740517553, 571005060, 16353702, ( -1), 26754349, 541949381, ( -1), ( -1), 806743384, 646508836, 145782414, 245998199, 597445622, 373790579, 456505143, 928024058, ( -1), 735081920, 638368417, ( -1), 132735068, ( -1), 828618473, 197658282, 926032271, 647724243, 911280890, ( -1), ( -1), ( -1), 182569568, ( -1), 768207490, 432563052, ( -1), 22436909, 672785436, 974574759, 463980519, 383908996, 785677393, 604272248, 33840024, 388414279, 87452592, 654191873, 48081016, 629975036, 67518268, 211339975, 290003548, 646232166, 68701888, 262730369, 906167690, 971785990, 733819757, ( -1), 610417370, ( -1), 790424568, 728958997, ( -1), ( -1), 533479154, ( -1), 803729533, 570143433, 150074322, 370226789, ( -1), 16853221, 560782853, ( -1), 965352893, 303295307, 188369708, ( -1), 663531055, 176945300, 761571263, 595837745, ( -1), 15565963, 80785373, 491892326, ( -1), ( -1), 481217141, 361446952, 966329102, 687548098, 96191346, 761949718, 965321742, 716333042, 763282826, 48572203, 828476157, ( -1), 838073448, 361594185, 634051594, 403378653, 806629505, 926996826, 184556704, ( -1), 476144083, 107801828, 136503479, 157498654, ( -1), 786752994, 770631731, 453281935, 459701228, 791843450, ( -1), 519665354, ( -1), ( -1), 135822068, ( -1), ( -1), 210121099, 44353014, 698222576, 31697709, 887960839, 469374430, 962529515, 677548050, 589608628, 274040502, ( -1), ( -1), ( -1), 7737655, 857979054, 517953589, 372873770, 382508476, 317803858, 756737095, 372614462, 70936948, ( -1), 241221981, 284875483, ( -1), ( -1), ( -1), 7682237, 942537291, 130604034, 165244143, ( -1), 575951025, 934577950, 242895857, 471271771, ( -1), ( -1), 507098274, ( -1), 712081847, ( -1), 175057816, ( -1), ( -1), 708459835, 369668678, ( -1), 375679863, 660270151, 215207529, 890760152, 20114305, 412143667, 43305339, 892827012, 566922682, 305610717, ( -1), ( -1), 891023896, 862797396, ( -1), ( -1), 572162253, 406391766, ( -1), ( -1), 481109402, 897569324, 952064535, 271496954, ( -1), ( -1), 768977622, ( -1), 76522848, 105756356, 325889517, ( -1), 951548152, 252077881, 694779570, 29499915, 724979283, 53266049, ( -1), 160516965, 701755687, 949217962, ( -1), ( -1), 856303645, 538284576, 984243526, 67456864, ( -1), 907099486, ( -1), 11485843, 127544781, ( -1), 202140713, 646335160, ( -1), 528192361, ( -1), 130373196, ( -1), 765841772, 996124971, ( -1), ( -1), 86890264, 88209287, ( -1), 267052454, 559251896, 206757180, 412270331, 429991311, 164131338, 309689705, 710529087, 578541828, 769678630, 3447198, 838415891, 612381859, ( -1), 198822311, 286040912, 538257861, 864486496, 487577689, 356678418, 947806531, ( -1), 711961474, 216062114, 102480222, 116561805, 776377536, 495654159, 489411713, 254339072, 944064582, ( -1), 214007201, 401594134, 911340763, 322740394, 208185561, 249315381, ( -1), 52826892, 235967347, 433308251, ( -1), 963415598, 560469221, 178820601, 27133245, ( -1), 142062300, 516523877, ( -1), ( -1), 885525456, 876255130, ( -1), 562142151, ( -1), ( -1), 909412573, 375888197, ( -1), ( -1), 634249536, 980336805, 847954308, 508627969, 828013015, 97961490, ( -1), ( -1), 111319898, 880387016, 604216725, 401773449, 559919179, 362902361, ( -1), 142392541, 505542923, 665702081, 539617036, 747203199, ( -1), 88186495, 434359393, 21471921, ( -1), 793794376, 757377661, 732523849, 233757181, ( -1), 763797431, 768885852, ( -1), ( -1), 943682793, 620009646, 373988660, 477201320, ( -1), 522126953, 533667039, ( -1), 92782399, 273563120, ( -1), 27346286, ( -1), 418700785, ( -1), ( -1), 337197694, 2527165, ( -1), 517832767, 184117064, 831237797, 152665286, 277169465, 914210560, 770928287, 495584632, 615564194, 713473235, 82608523, 427583904, 647341259, 636143453, 351140117, 643279525, 403665686, 46634091, 37899800, 631280255, 356143396, 664979271, 487488100, 846900301, ( -1), 869005454, 824842969, 941319742, 28417813, 209198853, 985650154, ( -1), ( -1), 289514591, ( -1), ( -1), ( -1), 358352201, 675904984, ( -1), 436282943, ( -1), 433355502, 264758278, ( -1), 421179665, ( -1), 97176292, 560626627, 145777788, 409502533, 61480627, ( -1), ( -1), 794170068, 765870381, 106174024, 863131434, 231566820, 853586099, 532872757, ( -1), 488657225, 249184602, 763751090, 616630834, 947507086, ( -1), 874828757, 953328033, 971895980, 429111042, ( -1), 280751440, 608631975, 897119391, 699789621, 438121270, ( -1), ( -1), 834467354, 965441225, ( -1), 253942127, ( -1), 329467200, 925126709, ( -1), 662918133, 358975085, ( -1), 504488406, 715067263, ( -1), 883715991, 947765167, ( -1), ( -1), 893761607, 721952157, ( -1), ( -1), 911594439, 339969128, 305358831, ( -1), 201007535, 86910707, 76366790, ( -1), 589166206, ( -1), 253578700, ( -1), ( -1), 128544116, 756516939, ( -1), 794735699, 232643055, 504461863, 225564910, 244158536, ( -1), ( -1), ( -1), ( -1), ( -1), 69209812, 456931112, ( -1), 85447733, 480967923, 238108452, 602113413, 672933398, 501014651, ( -1), 687792994, ( -1), 48348844, 896390449, ( -1), ( -1), 388750433, 621933791, 609962308, ( -1), 518352536, 962890453, ( -1), ( -1), 207471998, 535270204, 933362454, 162103953, 623457050, 537019962, 474480540, ( -1), ( -1), 916192725, 465719047, ( -1), 510002512, 52285681, 541436811, 631845035, 711254808, 617984703, ( -1), 851322680, 879789608, 600999765, 245020123, 764349899, ( -1), ( -1), ( -1), 796149979, 426395670, 151795726, 280198738, 686843698, 42306913, 666814747, 263948023, 9519391, ( -1), 490802646, 136701699, 142796649, 879960022, 986309289, 377005096, ( -1), ( -1), ( -1), ( -1), 428295880, 266167296, ( -1), 855330213, ( -1), 875440400, 484795831, ( -1), 402129043, 602063500, 137878053, 467117346, 833648670, 865115999, ( -1), 319166683, 974492051, 963700190, 718715834, ( -1), ( -1), 998408056, ( -1), 961576537, ( -1), ( -1), 339056201, 756882618, ( -1), ( -1), ( -1), 237407267, 460622502, 341305947, 759341649, ( -1), 168283816, ( -1), 464607460, 960265788, 927452093, 686297136, 419596623, 532081743, 552226136, 420955953, 130440372, 525081382, 600228314, 228901991, ( -1), 395067027, ( -1), ( -1), 800747164, 937250266, ( -1), 342534017, 361975903, 939503341, 654844884, 894254154, ( -1), ( -1), 152394824, 9190316, ( -1), ( -1), ( -1), ( -1), 394257855, 791137688, 117689328, 3624331, 461856372, 322080130, 75185887, 568443555, 472937144, ( -1), ( -1), 24685842, 578229238, 243671530, ( -1), 78723186, ( -1), 186667906, ( -1), 896408875, ( -1), 133531721, ( -1), 971178872, 881668547, 117446311, 447405635, 549730264, 538517837, 460788406, ( -1), 64858321, ( -1), 617804905, 176734867, ( -1), 452577227, 119247629, ( -1), 707072956, ( -1), 63512718, 635174809, ( -1), 730620220, 894605053, 446465511, 170024130, 856805683, 7288622, ( -1), ( -1), 803434859, 336912946, 564957476, 243245339, 138784253, 664413295, ( -1), 565425259, 896728467, 60034176, ( -1), ( -1), 333192988, ( -1), 576375566, 433826154, ( -1), 777383559, 922268509, 735646648, 677641094, 107642115, 296988615, 589525795, 773832537, 727078020, 230316179, 547129609, 903519435, 458324745, 558075127, 426559526, 207796484, 786899288, 371165469, 929075972, 482931577, 816756449, 602247522, 931081493, 724249823, 476178599, 261092069, ( -1), ( -1), 676999624, 188578593, 236273550, 563302873, ( -1), ( -1), 356857010, ( -1), ( -1), ( -1), 772208179, ( -1), 870252541, 373702063, 865655546, ( -1), 459944984, 918358270, 30993427, 841688782, 818945929, ( -1), 906050461, 251499605, 995063478, ( -1), ( -1), 719204230, 815250021, ( -1), 385332588, ( -1), 908111602, 475859588, 225092710, 156906022, ( -1), 292962953, 276638587, 592832214, 768309516, 130101638, 769996780, ( -1), 933141098, 523671616, 898664519, ( -1), 241939902, 7812393, 809409714, 154191232, 653933274, 46736035, 875665041, 951243018, 336898181, ( -1), 71832556, 885635243, 244786517, ( -1), 346122824, 720757047, ( -1), ( -1), ( -1), 39256114, ( -1), ( -1), ( -1), 948967151, ( -1), ( -1), 963436615, 907782079, 123118350, 980059373, 491143476, ( -1), 147704500, 674240434, ( -1), 167258968, 789830504, ( -1), 786150375, ( -1), ( -1), 659295029, 321574167, 815582512, 444784794, 171117729, ( -1), 292819030, ( -1), ( -1), 852058490, 668865708, ( -1), 774689492, ( -1), ( -1), ( -1), 120339334, 592244350, 451783963, ( -1), 981392752, ( -1), 374962316, ( -1), 407933075, 279116883, 981314753, 593690101, 451342681, 877373285, 909851544, 647099461, 636451160, 588196740, ( -1), 739740659, 735269751, 302548557, 140401856, 456195612, 585024088, 427229025, ( -1), ( -1), ( -1), 484329617, 728197647, 553894036, 153165737, 505857758, 546154212, 827753209, 871607470, 123642924, 485951775, ( -1), 472098101, 677547566, 145603808, 116578917, 289759504, ( -1), ( -1), 177091336, 642346766, 51174627, 450844471, ( -1), ( -1), 930756595, 776432732, 136857951, ( -1), 77994040, 70829640, 616748624, 617265223, 606678029, ( -1), ( -1), ( -1), 385078244, 506569853, ( -1), 476393615, 485906587, 34049787, 254534457, 527119042, 13541645, 782738503, ( -1), 880632315, 823015793, ( -1), ( -1), 429746923, ( -1), ( -1), ( -1), ( -1), 229075816, 213150409, 975082662, 883661405, ( -1), 465382298, 618408432, 414513074, ( -1), 880511778, 224707142, 309303462, ( -1), 298559927, 750643531, 169177218, 512409629, 818016093, ( -1), ( -1), 330159869, 134640008, 596212799, 255956968, 448897379, ( -1), 920352291, 877340125, 766555073, 79380611, ( -1), 711225813, 755402455, 34509076, 415253389, 833505002, ( -1), 759053468, 431913729, 866364453, 160760223, ( -1), 167230080, 805245006, 141465733, 712848087, ( -1), 226805635, 572003644, 266243236, 587329121, 324746944, ( -1), ( -1), 535188882, ( -1), 201329859, ( -1), ( -1), 219825033, 633842854, 582804008, 568109906, ( -1), ( -1), ( -1), 571524785, 582783926, ( -1), ( -1), ( -1), 970141576, 786560485, 762244398, 476482981, 415768554, 251029726, 815148159, 654247337, 522552595, ( -1), 787484796, ( -1), 189807457, ( -1), 138746443, 235805736, 565049794, ( -1), 567386018, ( -1), 410976146, 667525441, 920306048, 612253224, ( -1), 58353199, 706959557, ( -1), ( -1), ( -1), 152902380, 423220704, 549606299, ( -1), 25555727, ( -1), ( -1), 331242332, ( -1), 380956966, 242301006, 229950956, 955857326, 251957616, 158288763, 241209214, 902288425, 68879255, ( -1), 56688300, 193847230, 459116482, 610598614, ( -1), ( -1), ( -1), 596314522, 52158696, 347597045, 731974043, 270468609, 698601039, 326514108, 115297127, ( -1), 817363246, ( -1), 463682777, 737716625, ( -1), ( -1), 12400214, ( -1), 248797427, 859962159, 145891544, 883261255, 816772415, ( -1), 313949818, 461106874, ( -1), 345995848, 222874850, 41773500, ( -1), ( -1), 938307340, 509166256, 42969630, 482531300, 49132652, ( -1), 928662782, 14011618, ( -1), ( -1), 941572423, ( -1), 871032466, ( -1), 758735238, ( -1), 428973161, ( -1), 505948028, 215194788, 612705307, ( -1), 743333299, 682842654, 670428792, 4698, ( -1), 464932127, ( -1), 600299186, 474587303, 75450878, 948658830, 515033920, 982680969, 954333177, 281828532, 386145160, 852829858, 36658391, 607409742, ( -1), ( -1), 432562654, 540797752, 44035893, ( -1), 724602049, ( -1), 160804903, ( -1), 357806071, 357365428, 407564951, 328655871, 153410692, 611523031, 294454801, 327889124, ( -1), 539383972, ( -1), 840624302, 572894245, 762749358, 627658634, 879670618, 318176197, 166457522, 491864726, ( -1), ( -1), 820780099, ( -1), 983957807, 471683455, ( -1), 837372347, 454781752, 244134963, 104518183, 277161189, 539390525, 683697990, 312172245, ( -1), ( -1), 328397795, ( -1), 842643909, 511772473, 354960264, 594083342, 358118349, 112253755, ( -1), 27266846, ( -1), 872304907, 116561811, 922525761, 978197321, 505343184, 545737374, 166221159, ( -1), ( -1), 775324972, 94131281, 511355364, 727203146, 970873327, 457102867, 444301702, 595344044, 688792034, 282149811, 893648079, ( -1), 960250179, ( -1), 780362662, ( -1), 887047163, 558732904, 572318095, 748059214, 775215374, 679760404, ( -1), ( -1), 710679696, 839813115, 126116219, 70399651, 64566255, 441122763, 381622620, ( -1), 949903946, 748551726, ( -1), ( -1), 589119020, ( -1), 109703904, 381050031, 397546520, 159748282, 845169524, 815705229, ( -1), 639708819, ( -1), 970096620, 774672639, 907872249, ( -1), 732287100, ( -1), 960798434, 563701914, 100720495, ( -1), 351708530, 754337744, ( -1), 420218926, 686953406, 971762347, 910121534, 517480508, ( -1), 144711114, ( -1), ( -1), ( -1), 293229158, ( -1), ( -1), 986031037, 813511183, 39849505, 190370377, 642847445, 501595145, ( -1), ( -1), 993839714, ( -1), 785463516, ( -1), 106047239, 879702441, 759856721, 989315418, 53651173, 345200484, 105849765, 553659412, ( -1), 984984986, 985494692, 466314031, 93832096, 395360389, ( -1), ( -1), 277470572, 275351986, 47598473, 667784909, ( -1), 124505912, 244185557, ( -1), 457841247, ( -1), 685410175, ( -1), ( -1), ( -1), 82233764, 328855175, ( -1), ( -1), ( -1), 312866888, ( -1), 592675261, ( -1), 252314455, 609547967, ( -1), 71593689, 220342626, 827048056, 984736412, 889111158, ( -1), 108520212, 880060474, 536910483, ( -1), 782736506, 988406921, 529652490, 941390054, 489913363, 387633792, 619755640, 609673734, 953959599, ( -1), 976545230, 695991146, 866072864, 149472379, ( -1), 503500131, 752714411, 398877359, 40544230, 647053426, 336644362, 64211493, 447586673, ( -1), ( -1), ( -1), 737623786, 976089140, 684769963, 843613354, 531808363, 309324689, 262164856, 712041609, 491355134, 314021837, 274022053, 518805660, 514138758, 747855834, ( -1), 895453166, 475607969, 392311548, 679757989, 761184060, 106161181, 626975309, 350659495, 681834977, ( -1), ( -1), 456075703, 200249665, 989788211, ( -1), ( -1), ( -1), ( -1), 318140753, 261979103, 407037014, 842521248, 540254353, ( -1), 97376710, 291182981, 405100903, 359836193, 548447338, ( -1), 552773230, ( -1), ( -1), ( -1), 620900678, 711759971, 822503154, 514847382, 58952539, 901842954, 434635203, 486017477, 988634012, ( -1), 455169005, ( -1), ( -1), ( -1), ( -1), 359880003, 582958821, 291189791, ( -1), ( -1), 127593711, ( -1), ( -1), ( -1), ( -1), 201325609, 310203631, 148903990, ( -1), 521631655, 305765652, ( -1), 495345051, ( -1), 316807613, ( -1), ( -1), 522227924, 491255799, ( -1), ( -1), 257917538, 8519649, 859025359, 393975647, 125787904, 629137533, 77307662, 441500579, 689756308, 309585113, 565140165, 777032641, ( -1), 841738646, ( -1), 614801322, 427034997, ( -1), 758887145, 388025524, 134770602, 427921301, 720135371, 705812514, 275811796, 315095661, 39726229, 721316447, ( -1), ( -1), ( -1), 655586490, 866701717, 599108444, ( -1), 184835526, 312491058, 185652213, ( -1), 484131902, 406898594, ( -1), 235082359, ( -1), 712897247, ( -1), ( -1), 140406731, ( -1), 761991327, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 585746215, 440665163, 358494912, 230778088, ( -1), 639337434, 916862761, 885276849, 748710084, 769943611, ( -1), ( -1), ( -1), ( -1), 879324778, 21442191, 626324608, 421784128, ( -1), 172896763, ( -1), 472840488, ( -1), 57780903, 250320674, ( -1), 752544820, 576297826, 245649429, 61559530, ( -1), 559980115, 238011525, 508706780, ( -1), 564623389, 492491005, 420237618, 47679482, 598948413, ( -1), 673338733, ( -1), 202006781, 153229173, 803599431, ( -1), ( -1), ( -1), 241163388, 571262500, 683156709, ( -1), ( -1), 57530871, 951383791, 80164820, 925995880, 712729347, 743076596, 823618853, 247201708, 814965553, ( -1), 112904881, ( -1), 427162465, ( -1), ( -1), 199990075, ( -1), 977042847, ( -1), ( -1), ( -1), 785597502, ( -1), 488868830, 821243755, ( -1), ( -1), ( -1), 6335346, ( -1), 592767749, 759735749, 669354196, 872591619, 185638702, 106592740, 193316200, 529575624, 278675173, 519781936, ( -1), 125683949, ( -1), 573176478, 739464155, 861706925, ( -1), ( -1), 330195213, ( -1), ( -1), 521550058, 180438149, 335701109, 520468129, 40013603, ( -1), 385132265, 680442760, 881732332, ( -1), 832551042, 578855466, 623038334, 538456024, ( -1), 494356311, 180264034, 951665224, 5953224, 107464528, 232559290, 633420896, 66485291, 583720690, 604990024, 358644373, 309436483, 905943790, 564253715, 175434541, 975892747, 35423064, ( -1), 125159829, 563792288, 546575743, 438413407, 361563715, 114356686, 104771802, 831026012, 543595163, 827600241, ( -1), 489286752, ( -1), ( -1), 314209372, ( -1), 28965979, ( -1), ( -1), 817961879, 283422294, 644451053, 13359585, ( -1), 514191724, 338382828, 498830678, ( -1), 322359592, 788113009, 568146906, 331919741, ( -1), ( -1), 62232629, 135235870, 363725439, 744341963, ( -1), 938845283, ( -1), 43231041, 746769845, 766168818, 590870018, 268424334, 821099807, 970207786, 490144429, 511931180, ( -1), ( -1), ( -1), 787060841, 256061503, 116417649, 921505830, 200070931, 123025683, ( -1), 809447522, ( -1), 377168476, ( -1), 117478534, 572307725, ( -1), 512597749, 912417196, ( -1), ( -1), ( -1), 934015773, 659833138, ( -1), ( -1), 548003417, ( -1), 171189225, 854646648, 755731392, ( -1), ( -1), 686688931, 838749091, ( -1), 955420075, 395005742, 342874344, 39708513, 964791747, 637131589, ( -1), 882339420, ( -1), ( -1), 400016978, 101733646, 826106515, 894551642, ( -1), ( -1), 236798458, ( -1), 380414395, 202377606, 647872334, 395157525, ( -1), 657765846, 110074158, 162314484, 747182743, 758856005, 943945011, 733045243, ( -1), ( -1), ( -1), 819693206, 762619242, ( -1), 92900829, 799461975, ( -1), 595686035, ( -1), 773602063, 374011768, 835479892, 725562597, ( -1), 163702504, 268747929, 894924974, ( -1), 55076083, 101196492, 812704380, ( -1), 813400839, ( -1), 376481171, 629207121, ( -1), 614437807, 964722540, ( -1), 809158414, 94366074, ( -1), 606005055, 405208789, ( -1), 135075349, ( -1), 515081357, 561327134, ( -1), ( -1), 292998077, ( -1), 232842754, 861967007, 889178941, 339246321, ( -1), 19376764, ( -1), 779601245, 144909252, ( -1), ( -1), 957148007, ( -1), 950393815, 794112345, 409750004, 844376436, 532899125, ( -1), 546344754, 360081616, 632694642, 366008019, 822297870, 891025013, 314084205, 95703634, 596233879, ( -1), ( -1), 365798802, 163464505, 522424846, 131900583, 185749470, ( -1), 89695297, 434956235, 348555878, 814673335, 176607348, 899267326, 624655199, 325571943, 669136775, 596241365, ( -1), 701499138, ( -1), ( -1), ( -1), 729493693, 241168274, 385074312, 730163040, 621801586, 743076318, 552298984, 823863232, ( -1), 11251323, 734653972, ( -1), 816647049, ( -1), ( -1), ( -1), 668076477, 46780206, 298966717, 321022259, 264638319, 267809259, 127367264, 216133663, 144931324, 411845996, 740864113, ( -1), 293230429, 487163989, 250986317, 882105323, ( -1), 443616752, 666074782, 399310919, 706746977, 439122701, 21096421, 867177679, ( -1), ( -1), ( -1), 905066958, ( -1), 943073227, 953989059, ( -1), 296118647, 673561556, 503583731, 727958701, ( -1), 45294953, 579487580, 782786956, ( -1), 934837474, 717979155, 877028018, 87495525, ( -1), 995991158, 519376491, 360630038, 108235194, 70273805, 886555531, ( -1), ( -1), 109305992, 123204971, 19546231, ( -1), 528634852, 822143395, 114626054, 915926792, ( -1), 130400081, 765081984, ( -1), 941328196, ( -1), 807986530, 305373053, ( -1), ( -1), ( -1), ( -1), 735518700, ( -1), 592708714, 429278333, 865036980, 300896017, 525027808, 716885527, 576227603, 490051052, 320638397, 270907746, 840517486, ( -1), 523402763, 272421293, 349094407, 255507310, ( -1), 815426279, 307399699, 601805428, 133758010, 748370601, ( -1), 57214181, ( -1), ( -1), 365684153, 825557170, 980587977, 770411886, 265324888, 403621539, 105898000, ( -1), ( -1), 215448678, 622074424, ( -1), 227819397, 511723407, 546847772, 692141579, 446368947, 949200652, 720368098, 344287115, ( -1), 456114603, 649696182, 441705896, 55644946, 55528520, 307610562, 256209261, ( -1), 768614241, 310170961, 802152635, 168149007, 288949484, 498228302, 592335169, 216002379, 514942378, ( -1), 944067499, 531467284, ( -1), ( -1), 936769068, ( -1), ( -1), 118775501, 495880439, ( -1), 846329013, ( -1), 974409828, 689070770, ( -1), ( -1), 820631789, 133588952, 418939214, ( -1), 279173898, 517970487, ( -1), 918483356, ( -1), ( -1), ( -1), 979546328, 782611341, ( -1), ( -1), ( -1), 927222327, 976608871, 796642252, 640760882, ( -1), 230751593, 704443022, 352248804, 687145806, 598837306, 555168626, ( -1), 809428311, 660667570, ( -1), 989508617, 578184960, 215860955, ( -1), 15746381, 602495338, 582463277, ( -1), ( -1), 68145124, 42534007, 527194090, 758311799, ( -1), ( -1), 743217090, 878349527, ( -1), 981179014, ( -1), ( -1), 280718037, 59176097, ( -1), ( -1), 342811806, 515125786, 75428669, 968898578, 793944850, 362510354, 180470890, 299550759, 4956728, 921158251, 94794178, ( -1), 178823633, ( -1), ( -1), ( -1), ( -1), 475399287, ( -1), 240315458, ( -1), ( -1), 610851950, 954855193, 414937674, ( -1), ( -1), ( -1), ( -1), 852117777, 116128344, 283288434, ( -1), 932876689, ( -1), ( -1), 572131572, 882821125, 454890160, 461212336, ( -1), 900996756, ( -1), ( -1), ( -1), 407892882, ( -1), 392331505, 354660558, ( -1), 648778030, ( -1), ( -1), 208520834, 528690164, 861579058, ( -1), ( -1), ( -1), 973574489, 550771260, 653391207, 151251356, 334405514, 84966858, ( -1), 969267998, ( -1), 99549084, 714246990, ( -1), 908888389, 124431130, 387609207, 67789624, ( -1), 326420423, ( -1), 729269425, 827068698, 589089975, 359492099, 645339304, 553914732, 197367531, 686611346, 523648169, 236844265, 845630207, ( -1), ( -1), 601710720, ( -1), 173091209, 488863512, 5025814, 939922176, 874670507, 78173896, ( -1), 539241276, 912212510, 946135600, 873835924, 549063684, 65701564, 573734914, 832474073, 234891731, 403692829, ( -1), 314128600, 809728368, ( -1), ( -1), 852165760, ( -1), 221191368, 119103340, 586100317, ( -1), ( -1), 452475970, ( -1), 649692128, 553520230, 373207443, ( -1), 910977350, 178642542, 266892157, 985280042, 654823073, 684580106, 122008670, ( -1), ( -1), ( -1), ( -1), 692909084, ( -1), 525123591, ( -1), 506293606, 124853609, 518313656, 696699058, 377674971, 575270139, 686502911, 495495979, 130404031, 292444761, ( -1), 698657790, 394374489, 145743356, ( -1), 902289571, ( -1), 333275276, 938272224, ( -1), ( -1), 32250263, ( -1), ( -1), 421258186, ( -1), 496209080, ( -1), 207272862, 540340364, ( -1), 635051129, 293481372, ( -1), 757828827, 232572188, ( -1), ( -1), 53697383, ( -1), 524955782, ( -1), 495542371, 644491555, 929069434, 943636844, 877234874, 499951028, 336472907, ( -1), 734026158, ( -1), 733943683, ( -1), 449026329, ( -1), ( -1), ( -1), 343920073, ( -1), 321193592, ( -1), 192027592, 869887988, 567368982, ( -1), 212184345, ( -1), 243246698, 841224783, 902106763, 379830455, ( -1), ( -1), 448184461, ( -1), 705754401, 426010326, 319480716, 841831832, ( -1), ( -1), ( -1), 86348542, 754609158, 157737135, 593995066, ( -1), 875255170, 898670942, 678972353, 237039822, ( -1), ( -1), 190386845, ( -1), 178804138, 431782132, ( -1), 271867445, 903733320, ( -1), 202107667, 455851315, 814278101, 685857700, 70401299, 363831808, 306201825, ( -1), 748085403, 134603273, 588445224, ( -1), 827652175, 641962676, 876283121, 728050382, 250593578, 56149167, 631437694, ( -1), 523829811, 332756657, 911003355, ( -1), 212790682, 911669360, ( -1), ( -1), ( -1), 981786078, 424027536, 391824017, ( -1), ( -1), 748050855, 498196192, 143917915, 650824584, 974738765, ( -1), 797274017, 490203438, 391576229, ( -1), ( -1), 524350720, 662462631, 373832647, ( -1), ( -1), 163616130, 821925757, ( -1), 452490884, ( -1), 902103104, 419093209, 487911955, 957492627, 475908349, 307870082, 463585493, 153656966, 241758161, 433762284, 872364611, 823637034, 959666827, 401788448, 636814, ( -1), ( -1), ( -1), 46683087, 161306407, ( -1), 544707375, 681656540, ( -1), ( -1), ( -1), ( -1), 334060071, 823560350, 489008967, 415365779, ( -1), 726690124, 669044555, ( -1), 611031496, 179607681, 457216550, ( -1), ( -1), 35594287, 457409523, ( -1), 783896677, 69876892, 891271059, ( -1), 312167242, 795427539, 391200645, 958368071, 247992826, ( -1), ( -1), 345667983, 994351059, 329826790, 267695159, 859731363, 761813499, 785694495, 650352967, ( -1), 843353719, 139702305, ( -1), 97120725, 540748595, 558032833, ( -1), 843354528, 153174242, 30022793, 597709097, 531401863, 835743777, 186528160, 654778845, 412056455, 957951741, 643882028, 850358315, 745493083, ( -1), 683876645, 117082422, 296343974, 343436494, ( -1), 952549153, 682303570, ( -1), 986636382, 970226633, ( -1), ( -1), ( -1), 76902708, 952060984, ( -1), 883796153, ( -1), ( -1), ( -1), 277567704, 30570856, ( -1), ( -1), 182564721, ( -1), 475472543, 744815856, 55976429, ( -1), 219457882, ( -1), 263704256, ( -1), ( -1), 694295690, 631353117, 114690163, ( -1), ( -1), 763933189, 294935098, 231147495, 829150147, 188886159, 637440179, ( -1), 981973793, 810703003, ( -1), 36928013, 93289434, ( -1), 57688431, 45684285, 309315411, ( -1), ( -1), 524569742, 786783587, ( -1), ( -1), ( -1), 617924023, 947757396, ( -1), ( -1), 481278742, 516444571, ( -1), 596087230, 742314923, 454188395, 263304234, 468936880, 178864386, 239365498, ( -1), 907147731, 889045947, 671465730, 263112453, ( -1), 647075798, ( -1), ( -1), ( -1), 137423053, 636714258, ( -1), 113197030, 52602566, 517724533, 601325338, ( -1), ( -1), 100004828, 119751151, 888864229, 782677103, 449758532, 415709274, ( -1), 871765889, 557426017, 935570574, 486341432, ( -1), ( -1), 937435270, 413688748, 782990500, 521088142, ( -1), ( -1), ( -1), 872559917, 205980038, ( -1), ( -1), ( -1), 870681113, ( -1), 735216159, 521070724, 718035173, 608931301, ( -1), 454771817, 430444437, ( -1), 405275261, 797544080, ( -1), ( -1), 309242615, 707212627, 316775969, 205676406, 505713180, 810656677, 265528272, 988308204, 246065960, 335646, ( -1), ( -1), ( -1), 290133617, 558777994, 405016771, 331410281, 933175379, 377542410, 780731854, 874313180, 784004733, 509942773, 102122367, 66983121, ( -1), 760708556, ( -1), ( -1), ( -1), ( -1), 695732330, 263456180, 105604368, 570295596, 172740035, ( -1), 885556618, 28367384, 815021316, 52112882, 588784122, 237631328, 974614368, 325471437, 825745735, 345417691, 685071436, 620294980, ( -1), 807256214, 815007904, 311715627, ( -1), ( -1), ( -1), 269448009, 317933815, 491945171, 826141256, 623740845, 982200531, 703953027, ( -1), 207601429, ( -1), 725904140, ( -1), 986395164, 607120240, 695277036, ( -1), ( -1), ( -1), ( -1), ( -1), 566720825, 944605009, ( -1), 418432221, 789432701, ( -1), 368463392, 189988014, ( -1), 531387734, 707766534, ( -1), 693143419, 112529901, ( -1), 880927689, 936981907, 553937113, 554743548, 403282339, 954647744, 863756211, 581133659, 381578364, 470092290, 14371025, 872644336, 755738172, ( -1), 527602282, 625784574, ( -1), 225315174, ( -1), 357369538, 58450880, ( -1), 319818641, ( -1), 6047258, 305688586, 275246665, 702112823, 766276271, 118432284, 508102090, 946119722, 490964831, 90593901, ( -1), 449010622, 950595911, 822814709, 137406685, 656370186, 723359796, ( -1), 538674722, 13533091, 882369819, ( -1), 998677523, 219761548, 384518766, ( -1), 918208010, 666761633, 164867710, ( -1), ( -1), 572624219, 752653094, ( -1), 580744147, 584513026, 242317040, 337951053, 831209807, 196432914, 928808874, ( -1), 653163781, 460481964, ( -1), 653346286, 924140788, ( -1), 263744780, 207116172, 870215208, 466053406, ( -1), 764140114, 834175060, ( -1), 225905215, 143361288, ( -1), 218017411, 489692543, ( -1), ( -1), 256900164, 818054229, ( -1), 956143017, ( -1), 401804166, ( -1), 483499390, 995021382, 724927024, 909056138, ( -1), 547705774, ( -1), 139841477, ( -1), 785262847, 330964107, 598460339, 537536903, 391396810, 375098303, 15354788, 535849877, 55412765, ( -1), 667601603, 131044533, 13264182, 406460057, ( -1), ( -1), 759347309, 398846100, 431736601, 254530523, 178658741, ( -1), 307648442, 525621517, 345681003, ( -1), 960618350, 518728769, 378934545, ( -1), 127779047, 116291996, 926481965, ( -1), 635816385, 890084755, 184975869, 883026594, ( -1), ( -1), 607344034, 47863644, ( -1), 746271235, ( -1), ( -1), 503888591, 904604166, 113243567, 896457161, 600050939, 354670315, ( -1), ( -1), 590350092, ( -1), 773145589, 614003604, 719128198, ( -1), ( -1), 763384820, 5898687, 788372345, 579576675, 779402687, ( -1), 376535202, ( -1), 762674077, ( -1), 360164790, ( -1), 126256497, 49913322, ( -1), ( -1), 180630179, ( -1), ( -1), 641006376, ( -1), 388382979, 336214304, 568174445, 307565440, ( -1), ( -1), ( -1), 379371692, 855228777, 907707986, ( -1), 54779553, 849102651, 540192226, ( -1), 826800047, 939456808, 795649346, 338759765, ( -1), ( -1), 888998623, ( -1), 22693085, ( -1), 791359810, ( -1), ( -1), ( -1), 459835593, ( -1), 543837346, 707615138, 75867635, ( -1), 144388536, 708538090, 390261766, 425133348, 138605541, 659133641, 689061240, 804867232, 720833993, ( -1), 390071565, 931963342, 790423320, 669625025, 662623857, 221073658, 643608108, 349211801, ( -1), ( -1), ( -1), 609085143, 741934563, ( -1), 723846738, 385940546, 207035360, 241570720, 160853186, 149086928, ( -1), ( -1), 766053861, 442279263, 150918877, 724512528, 737923039, ( -1), 549080577, ( -1), 611864145, ( -1), 420507579, 133597933, ( -1), 892273775, 766073812, 905444817, ( -1), 536130983, ( -1), 774328108, 732589174, 741559733, ( -1), 628401508, ( -1), 861722902, ( -1), ( -1), 724787908, ( -1), 401759860, 882175727, 467891995, 418133420, 723686620, ( -1), 462202765, 456207058, 627554790, 790818195, ( -1), 585850379, ( -1), ( -1), 530030342, 131777411, 942273236, 4304983, ( -1), 581053940, 587686851, 383230129, 354894892, 216824344, 340445831, ( -1), 783248218, ( -1), 967004312, ( -1), 712223504, 531731463, 14993677, ( -1), 549023955, 112489785, 931952630, 498220459, ( -1), 498116010, 333544574, 670780095, ( -1), ( -1), 153992409, ( -1), ( -1), 676857122, 465615460, ( -1), ( -1), 756263018, 769145739, ( -1), 940972118, 272793824, 232205484, ( -1), 4549785, 527573747, 570885255, ( -1), 367446415, 541667620, 184842204, ( -1), 845944226, 520955478, 645594912, 175209865, ( -1), 286295295, ( -1), 348238628, 622484223, ( -1), 249000765, 223610063, ( -1), ( -1), 319440005, 197154560, 286511270, 299053993, 832707809, 981644271, 535780639, 137621984, 638385268, 128205475, 31015942, ( -1), ( -1), 171410696, 343781103, 380455388, 62732499, ( -1), 997208540, 465565412, 259174567, 672921315, 964795552, ( -1), 87354467, ( -1), 847266303, 506794559, 643631686, 353342778, ( -1), ( -1), ( -1), ( -1), 303606289, 838385741, 832820520, ( -1), 44429415, ( -1), ( -1), 494052620, 213462196, 752484228, 877341202, 249084144, ( -1), 233360211, 411778194, 113714931, 711652878, ( -1), 806136266, 998816112, ( -1), 751000561, 889521333, 44209719, 209988980, ( -1), 647046725, ( -1), ( -1), 967668802, ( -1), 772831243, ( -1), 727005169, 624566213, ( -1), ( -1), 511224101, 653273250, 11074776, 606005250, 712785079, 356726828, 852997894, 116400566, 805485955, 692704699, 167668229, 135322069, 51358501, ( -1), ( -1), 711572084, ( -1), ( -1), ( -1), 212185972, ( -1), ( -1), ( -1), 145785185, 558155053, 180942964, 300998949, 830718963, 760600636, 167507919, 245931497, ( -1), 675367960, 899799361, 246382437, 196920708, 165904986, 388367204, ( -1), ( -1), 576960512, 205489052, 21005244, 128445471, 327591472, ( -1), 222966858, 883009859, 337738687, ( -1), ( -1), 383849357, 879627895, 403634696, ( -1), 20888536, 182965630, 997718385, 237530024, 967797577, 995094162, ( -1), ( -1), 522860327, 991910956, 64845824, 441934469, ( -1), 668017570, 622869049, ( -1), 253879624, ( -1), 454143678, 977121441, 296153443, 495118738, 975273230, ( -1), 417501922, 137167537, ( -1), 218745384, 975932080, 968897901, 604735860, 133569868, 570743647, 650238870, 865091480, 67380730, 252010427, 901025294, ( -1), 817376093, 972254155, 800834193, ( -1), ( -1), 250183394, 599738460, 845790280, 361162743, 308449825, ( -1), ( -1), 637375908, 28088798, ( -1), 813732969, 862380811, 532457207, 760078469, ( -1), ( -1), 135325599, ( -1), 476430448, 951630096, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 198159426, ( -1), ( -1), 406185017, 323721197, 546346631, 526247078, ( -1), 225214666, 465709766, 73813626, 757462069, ( -1), ( -1), 702779972, 563578934, ( -1), ( -1), 441238657, 232916614, ( -1), 478436150, ( -1), 692524292, 840053745, ( -1), 142674779, 914088519, 367414420, ( -1), 847849673, 283574869, 340376082, 708944106, ( -1), ( -1), 354332314, 923120786, ( -1), ( -1), 833397955, ( -1), ( -1), ( -1), 346621384, ( -1), 906602500, 863585041, 817527573, ( -1), 636957211, ( -1), ( -1), ( -1), 929535725, ( -1), 419214470, ( -1), 859581671, 83612412, 367513411, ( -1), 623587293, 989396023, ( -1), 366510193, 164617777, 754843099, 694931818, 776386341, 584154062, ( -1), 731095555, ( -1), 923543752, ( -1), ( -1), 334246897, ( -1), 458229122, 850681979, 555234910, ( -1), 64399903, 849885023, 561575676, 891845993, ( -1), 305431134, 78877977, 152011828, 646997263, 256558636, 541313738, 406503601, ( -1), ( -1), ( -1), 874127739, 310310975, 348288116, 838163219, 136935950, 45482458, 300863189, 157315445, 856698463, 658939196, ( -1), 622111551, 381428497, 769789341, 8369006, ( -1), 468182937, ( -1), ( -1), 580063753, 910247366, 616735507, 684277716, 399464990, ( -1), 64921619, 256599138, 16213956, 691474778, ( -1), ( -1), 47071702, 421008488, ( -1), 515165233, 89618444, 396568705, 10390392, ( -1), 382522428, 536231817, 143921225, 855756886, 917669871, ( -1), ( -1), 595997948, 775766932, 234811743, 858451386, 105862349, 938455460, 817755853, ( -1), ( -1), ( -1), 306133252, 837663414, 552125897, 223696196, ( -1), 547620656, 943437503, 689647823, 927222531, 638935820, 813339428, 637349775, 540890634, 862551019, 832303110, 303251605, 602039513, 559930598, 885182004, 765482194, 642746415, 696817971, 338906144, 898469328, 564300824, 440501742, 235133069, 766642849, 4485148, 17909568, 583323853, 102312710, 68048377, 902829465, ( -1), 371104487, 295730223, 608789744, 48560777, 295344127, ( -1), 246327066, 712544709, 295396580, 15057509, 720487858, 225756163, ( -1), 427304503, ( -1), 382369906, 871559202, 954499734, ( -1), 459759775, 442200737, ( -1), ( -1), 917828607, 103465176, ( -1), 414633804, 492909822, 419568679, 979787531, 398255574, 803920760, ( -1), 218172330, ( -1), ( -1), 884781154, 947408170, ( -1), 589549882, 123978932, ( -1), 124391997, 394995747, 562240554, 454754850, ( -1), 848275920, ( -1), 332447835, 687368574, 420627704, 112005084, 646683082, 129249640, ( -1), ( -1), ( -1), 133206641, 975689272, 434807262, 924289627, 281506789, 433811835, 444698829, 530296067, ( -1), ( -1), ( -1), 931416946, 498945179, 787515460, 306894900, ( -1), 828359560, 673583246, 217088949, ( -1), ( -1), ( -1), 600280195, ( -1), 600907224, 623361514, 174130662, 858059277, 95645517, ( -1), 74873571, 238335165, ( -1), 792703723, 75516721, ( -1), ( -1), 749273877, 13337372, ( -1), 331006511, 163173554, ( -1), 164064432, 568011975, 280175848, ( -1), 884617001, 600886969, 973764232, 926670203, 165148794, 12149836, 67491619, 441532678, 899588159, 881446200, 283136756, 440438789, 651784014, ( -1), 322311643, 432203453, 269456036, 554766113, 522787759, 972222008, 889098940, ( -1), 767178599, ( -1), 393525569, 933302361, 487018226, 891267785, ( -1), 763477905, 952638812, ( -1), 714260448, 70246024, ( -1), 511607666, 422135009, 172308845, 60862633, ( -1), 644555573, ( -1), ( -1), 481375581, 468608020, 435724248, 680261537, 952324465, 568508431, 775324635, 808459350, 945477978, ( -1), 315279050, ( -1), ( -1), 44290383, 367133243, 538423714, 23278031, ( -1), 755416914, 491237319, 904439581, 733354967, 847054775, 394153264, 140140486, ( -1), ( -1), ( -1), 680963922, ( -1), 591361589, 362312422, 58519905, 467920178, 829249484, ( -1), ( -1), ( -1), 412504918, 323717836, 638581845, 830130520, 261803940, ( -1), 278702977, ( -1), ( -1), 557508699, 701038994, 717140062, 376931162, ( -1), ( -1), 200320027, 635026961, 942456222, 424631186, 690296343, 82752655, ( -1), ( -1), 657974850, ( -1), 317045301, ( -1), ( -1), ( -1), 842882805, 328979489, 496287953, ( -1), 247714055, 989060550, 848017287, 526453607, 533688203, 928561177, 550903220, ( -1), ( -1), ( -1), 207310634, 971779585, ( -1), 875836321, 448230447, 723268266, 303853719, 689354436, ( -1), 339782437, 617254843, ( -1), 784392862, ( -1), 575412144, 401675658, 286904592, 255693757, 387101309, 924260940, 414401158, ( -1), 157540566, 575848527, ( -1), 568363764, 312827895, ( -1), 460731335, 559383165, 771597349, 473671991, ( -1), 21811304, ( -1), ( -1), 247833160, 151052633, 106644897, 914002038, 995656982, ( -1), 167427648, 105106218, 175738927, 177209599, 407491775, 795318683, 149061332, 132624937, 403742965, ( -1), 180829521, 419146546, ( -1), 187817455, 803154461, ( -1), ( -1), 97458596, 228928805, ( -1), ( -1), 690426244, ( -1), 912222868, ( -1), 858710732, ( -1), 595756009, 882662384, 71339624, 126506715, 474670508, 939832501, ( -1), ( -1), ( -1), 369525814, 365265501, 858504821, ( -1), 435676963, 25181605, 819537070, ( -1), 954721026, 107870209, 457240465, 916604310, ( -1), 167345015, 12279326, 809676488, 331497698, 561792174, 435132921, 983448435, 749553455, 274546176, 579003775, ( -1), ( -1), 795864873, 728607055, 70087864, 421936812, 677211422, ( -1), 479613466, 755266859, 421858797, 253987821, 105905777, 781259494, 850665286, ( -1), 871434557, ( -1), ( -1), ( -1), ( -1), ( -1), 393667689, ( -1), ( -1), 742818670, 167269634, 735908840, 181347788, ( -1), 163025764, ( -1), ( -1), 290507389, ( -1), ( -1), 753579768, 618452248, 774371460, 752445881, 652571547, 37508921, 734344346, ( -1), 383192730, ( -1), ( -1), 148396221, 405720974, 840054200, ( -1), 836858587, 557370058, 565190190, 497365171, 491444746, 637980741, ( -1), ( -1), 791040048, 346794559, 496897875, ( -1), ( -1), 630571326, 922467129, ( -1), ( -1), ( -1), 482982222, 667952527, 75417338, 108964578, 595469798, ( -1), ( -1), 937545128, 698493319, 611975548, ( -1), ( -1), ( -1), ( -1), ( -1), 604073975, 15211865, 226272652, ( -1), ( -1), 602838373, ( -1), 892046537, 616844020, 954377283, 128852530, 779039798, 369762983, 729013132, ( -1), ( -1), 814296574, 686668459, 908400149, ( -1), 818352787, ( -1), 223222777, ( -1), 631037372, 42966250, 785736219, 60115613, ( -1), 165718054, 429849741, 623286024, 809398437, 958371228, ( -1), ( -1), 626500909, 381513188, 477067279, 797807206, 699750056, 943704151, ( -1), ( -1), 863914535, 375349985, ( -1), 655266365, 754106750, 93727676, 306587403, 793413090, 209854808, 607564304, 203394548, ( -1), 756810540, 850053373, 650536556, 503689389, ( -1), 52404795, 215710011, 668906565, 518427592, ( -1), ( -1), 304925828, 46358070, 14404072, 373360130, 415308599, ( -1), ( -1), ( -1), 861021384, 315396393, 681440800, ( -1), ( -1), 598476544, 170098936, ( -1), ( -1), 938467860, 458129506, 86714655, ( -1), 675041841, 895767053, 755191398, ( -1), 921792972, ( -1), 124114134, 854134873, 232229350, 903736021, ( -1), 740378995, ( -1), ( -1), 857806143, ( -1), ( -1), ( -1), 945061383, 780525296, 811173535, ( -1), ( -1), 1191403, 179012677, 215199192, 819351734, 705563019, 111736702, 780908862, 317423543, ( -1), ( -1), ( -1), 373503090, 908444323, ( -1), 357531194, 835881226, 545584438, 736637760, 226491690, 796946319, 41385043, 372796894, ( -1), ( -1), 65159179, 108038729, 99711877, ( -1), 277867760, 368655802, 300823567, ( -1), ( -1), 312386823, 361118482, 754522711, ( -1), ( -1), 704479900, 579414318, 733680845, ( -1), 461017989, 336147192, ( -1), ( -1), 103469930, 345665121, 638143492, ( -1), ( -1), ( -1), 417574482, 190272972, 900544302, 444942704, 84695681, 818029345, ( -1), 524225930, 662883857, 307268623, ( -1), 820614277, ( -1), 124618987, 737236660, 54597878, ( -1), ( -1), 590250325, 797554929, ( -1), 133706376, ( -1), 155405722, 378474053, 130158222, 412975822, 840617956, ( -1), 896725428, ( -1), ( -1), 794898894, ( -1), 280634012, 358110480, ( -1), ( -1), 513624960, 595532046, 977604600, 838293142, 583889707, 455016321, 788652831, ( -1), 780112933, ( -1), 703770779, ( -1), 758508829, 980383330, 805428465, 199575221, 554339531, 425579298, 164484798, 487031583, 409577148, 21244455, 141357615, 128326174, 808290843, ( -1), 980023857, 507174056, 115193658, 82376604, 573651448, ( -1), ( -1), 58988487, 253252486, ( -1), 338181879, 596748060, 984679886, ( -1), 909115573, 610944762, 530639633, ( -1), 328777703, 760301918, 346642749, 39940357, 395715119, 685074276, 884971449, 993040605, 766574891, 626245411, ( -1), 43908575, 676996869, 203561102, 76498755, ( -1), 505455442, 169225625, 826691772, 839630899, ( -1), ( -1), ( -1), 570625507, ( -1), 576668320, 276640375, 175368772, ( -1), 251987269, 383529488, ( -1), 462946254, 945825915, 475517356, 931866914, 390372066, 112466945, ( -1), ( -1), 964330309, 42324047, 438001553, ( -1), 606885333, ( -1), 458692470, ( -1), 917241260, ( -1), 690066414, 895146160, 522570752, 937035319, 976591129, ( -1), 126247301, 195888978, 257303824, 406980154, ( -1), 315304422, 476496008, 562666412, 987744038, 490545496, ( -1), 270105598, ( -1), 912737828, ( -1), ( -1), ( -1), 739686533, ( -1), ( -1), 350371695, ( -1), 639352050, ( -1), 472821759, ( -1), ( -1), 470643203, 236387939, 762051692, 942042156, 129660191, 733507480, 582422927, ( -1), 809073217, 359129012, 864609040, 364283478, 115595742, 498929907, 817927900, ( -1), 866931577, ( -1), 8146172, 880783520, 920423048, 38446865, ( -1), ( -1), 67603265, 203608411, 745566725, 392577732, 608956839, 479624769, 341491355, 134011313, 798562299, ( -1), ( -1), 51009323, 677278508, ( -1), ( -1), 69923966, 965870338, 947877913, ( -1), ( -1), 606018742, ( -1), 844180556, 873196055, 841746339, 46612772, 9957887, 857181602, 546406347, 259730593, 411232068, 732257955, 423415977, 65265165, 236555238, 56906040, 892800182, 114835290, ( -1), 195304560, 201244255, 968173190, 779394344, ( -1), 707503015, 38304210, 899853396, 331080257, ( -1), 126253776, ( -1), 539405018, 869579417, ( -1), 74157756, 512619846, 807777989, 253200921, 82700052, ( -1), 946916932, 548103944, 501348210, ( -1), 12514361, 567428616, 848320433, 208011315, ( -1), ( -1), 83123183, ( -1), ( -1), 753200441, 670050523, 631019266, 938668738, 592201431, ( -1), 825211444, ( -1), 81094768, 855290359, 905127863, 257188776, 560487076, ( -1), ( -1), 291753509, 633395488, 171942610, ( -1), ( -1), 40616512, ( -1), 994747772, 697619432, 755835508, 483510296, ( -1), ( -1), ( -1), 981946839, 318270543, ( -1), 79522413, ( -1), ( -1), 492127981, 421369470, ( -1), 901135546, 609295209, 774941043, 604575052, ( -1), 730127675, 993707806, 937768092, 12191124, ( -1), 257685222, 58350805, 52330626, 527661518, 72130467, ( -1), 384853839, ( -1), 946925715, ( -1), 941900138, 465016083, 656873026, 853679717, ( -1), 253025265, 7847091, ( -1), ( -1), ( -1), 584798228, 831866671, 808835165, 119251610, 269106492, 938042581, ( -1), ( -1), 680695731, ( -1), ( -1), ( -1), 331592096, 931838469, 938770562, 769736082, 15457714, ( -1), ( -1), ( -1), 781986164, 868970443, 610776673, 268829823, 354410508, ( -1), 921240215, 257697416, ( -1), 523555587, ( -1), 563993140, ( -1), 327950436, 403843257, ( -1), 795286557, ( -1), 862528031, 296722318, 203970388, ( -1), 298376871, 864462487, 239245832, 630164036, ( -1), 621381440, ( -1), 51338015, 206113336, 282327974, ( -1), ( -1), 841915082, 324862869, ( -1), ( -1), 294076772, 571931009, 973640877, 59522564, ( -1), ( -1), ( -1), 267690061, 411577811, ( -1), 432704013, 818123346, 394870436, 22555518, 170581434, ( -1), 512707739, 434933014, 588609511, 933216399, ( -1), 629094031, 606929512, ( -1), 363512694, 61798483, ( -1), ( -1), ( -1), ( -1), 55982822, ( -1), ( -1), ( -1), ( -1), ( -1), 8702572, 587138852, ( -1), ( -1), 784105709, ( -1), 151730915, ( -1), 386012104, ( -1), 443810531, 316084229, ( -1), 506142418, 488150748, 838099587, 437636493, 290725818, ( -1), ( -1), 596564020, 154140284, ( -1), 716858416, ( -1), 838790238, ( -1), 99991731, ( -1), ( -1), 225501838, 364299316, 575762071, 77656933, 26446389, 431776722, ( -1), 757915324, 441369321, 831576884, ( -1), 22475938, ( -1), 852695179, 541212110, 941125792, 578373740, 454207466, 408988192, 432541514, 968625561, 320603129, ( -1), 457299074, 499853519, 987335264, 883803344, 570253299, 1362712, 859779444, 607978774, 639249543, ( -1), 790834314, 69254589, 654293878, 815022413, 102258658, 991457942, ( -1), 980411854, 269818046, ( -1), ( -1), 754742690, 965825917, 608349915, 430782834, ( -1), 447166465, ( -1), 927524593, 713980214, 171038854, ( -1), 957849190, 620411995, 772086230, 464695865, 158527813, 703901768, 957810000, 357843056, 369481309, 440008453, ( -1), ( -1), 120021767, 811178927, ( -1), 33787188, ( -1), 259075515, ( -1), 526315346, 39707787, 782092527, 916105146, ( -1), 991354675, ( -1), ( -1), 795713491, 582182027, 359711894, 286367701, 923445764, 681976533, 282988324, 694171411, ( -1), 237164537, 817616179, ( -1), 278702356, 739866501, 584963795, 511651220, 822783788, 877320242, 145627687, ( -1), 364664901, 715893611, 19050228, 177290091, 134949753, 288783697, ( -1), 105804159, ( -1), ( -1), 835616694, 265838702, 351547471, ( -1), 33388124, 322960652, 573862064, 771843891, 535838303, 674852541, 392899934, ( -1), ( -1), 155525639, 322525379, ( -1), 190769461, 85586902, 72753936, 247132424, 749237002, 842889676, 198551546, 787117241, 967846727, 349552360, 272593247, 383573047, 410578022, 382433547, ( -1), ( -1), 267737391, 201884068, ( -1), ( -1), ( -1), 281245333, 95691641, ( -1), ( -1), ( -1), 713035432, 566783764, 393911328, 987048809, 485492918, 239797667, ( -1), 395609213, 513408194, 162754464, 135471700, 313199735, 276301968, ( -1), 896599201, 103585098, 877369734, ( -1), 338437616, 476857122, 144994228, ( -1), 258471896, ( -1), 33245220, 251184009, ( -1), 825840093, 472215135, 386078788, ( -1), ( -1), 651379598, 120080650, 556159798, ( -1), 722168418, 456128820, 232166553, ( -1), ( -1), 198891760, ( -1), 363488894, 621117242, ( -1), 433886699, 885190573, ( -1), 956787357, 638102281, 759926261, 666607115, 333834827, 575142717, ( -1), 523826843, 39188617, 5666501, 687506260, 817073221, ( -1), 27871216, ( -1), 575025460, ( -1), 126172795, 211841576, 33097766, 317156416, ( -1), ( -1), 623943835, 42732409, 591061830, ( -1), 489332991, 442007386, 351683224, 943366903, 348896224, ( -1), 263064305, 928120877, ( -1), 851592856, ( -1), ( -1), 660792175, 257993641, 361511660, 437849280, 588380146, ( -1), 953067257, 48302908, ( -1), ( -1), 192662797, 91433826, ( -1), ( -1), ( -1), 229734992, 484400402, 534268437, 626545081, ( -1), ( -1), 234489707, ( -1), 871801521, 204762386, 483263359, 876647164, 633005802, 709221357, ( -1), 45316226, 349588461, ( -1), ( -1), ( -1), ( -1), 375366410, ( -1), ( -1), 153927065, 151643717, 32558732, ( -1), ( -1), 133714353, ( -1), ( -1), 126367726, ( -1), 645947972, 25648605, ( -1), 751254790, ( -1), ( -1), ( -1), 897448200, 25202487, 815935564, 452698638, ( -1), 300946024, ( -1), 782221930, ( -1), 161387835, 953439271, ( -1), ( -1), 174323366, 608460102, 743497333, 606228225, 619087779, 508150448, 199375193, ( -1), 71790971, ( -1), 597505770, ( -1), 80287586, 573735340, ( -1), 851482733, 655663817, 859975633, 581684675, 740583498, ( -1), 288628953, ( -1), ( -1), 472958674, 441186465, ( -1), 829480128, 889599202, 887783056, 507353405, 201202490, 464226084, 618406365, ( -1), ( -1), 642293453, 507022816, 722103467, ( -1), 561345134, ( -1), 558850535, ( -1), 175198171, 154708557, ( -1), ( -1), 593191879, 129977759, ( -1), ( -1), 685555510, ( -1), ( -1), 51898642, ( -1), 291620352, 849665277, 774080993, 993219004, ( -1), 225075832, 991377076, ( -1), ( -1), ( -1), 481233717, 857500255, 722123092, ( -1), 996014394, 972764339, 542403668, 199128703, ( -1), 83990932, ( -1), 500438172, 321193917, 17991419, 533587409, ( -1), ( -1), ( -1), 973130279, 347028781, ( -1), ( -1), 17262371, 326177337, ( -1), 871107637, 685259593, ( -1), 49043183, 153416137, 225556685, 439344705, ( -1), 608725085, ( -1), 521770376, 198504550, ( -1), 623999551, 937804143, ( -1), 192906686, 239509517, 380813484, ( -1), ( -1), 469125761, 925361209, 199459005, 155210195, ( -1), 298467682, ( -1), 394586610, 837857164, ( -1), 742213153, 449064150, ( -1), 454447594, ( -1), 136305870, 806463010, 653016833, 709113579, ( -1), ( -1), 930165688, 763197231, ( -1), ( -1), 648417366, 423726212, 507338934, ( -1), 532388341, 441976473, 906148348, ( -1), 37575550, 659086305, ( -1), 684540606, 465688346, ( -1), 758101969, 271773396, 794848788, 541412034, 415054038, ( -1), 695934755, 355257303, 587228634, ( -1), ( -1), 491356387, 164158892, ( -1), ( -1), 95958163, 58851410, ( -1), 154568181, 762927862, ( -1), 169783833, ( -1), ( -1), ( -1), ( -1), ( -1), 726708249, ( -1), 918664443, 84965383, ( -1), 532537567, 564587892, ( -1), 220302392, 114080227, 653314785, 254960480, ( -1), 45386104, ( -1), ( -1), 137065974, 54826701, ( -1), 967415332, 929552074, 341687945, ( -1), 443160299, 91530347, 92877852, 241472667, ( -1), ( -1), 976676750, ( -1), ( -1), 659693013, 997795952, 893992458, ( -1), ( -1), 103293250, 986932344, ( -1), 146264264, ( -1), ( -1), 831433325, 373790581, ( -1), 117212927, 26285517, ( -1), 563194485, 634538871, ( -1), ( -1), 581693860, 823943996, 797511983, ( -1), 149669405, 38958049, 371674385, 581748615, 325901712, 631380580, 342850859, 56636384, 934502870, ( -1), 276194520, 523004789, ( -1), 950804952, ( -1), 960394845, 15022751, ( -1), ( -1), 263935671, 673776880, ( -1), 661563308, 842008492, 9100063, 31143636, 879640839, 984887199, 271132460, ( -1), ( -1), 438942609, ( -1), ( -1), 83669598, 674762598, 789485974, 273246281, 61641387, 330710271, 789129111, 119167867, ( -1), 825380375, 14218981, 858418908, 356757721, 988602465, ( -1), 304107075, 926006340, ( -1), 706204521, 437080104, 48061674, ( -1), ( -1), ( -1), 490957271, ( -1), 63455118, ( -1), ( -1), 142950171, 574766756, 169038723, ( -1), 403421236, ( -1), 746787988, 680768617, 471824020, 890811560, ( -1), 242619845, 800599065, 701356569, 912949124, ( -1), ( -1), ( -1), 325247924, ( -1), 384485856, ( -1), 186777842, ( -1), 133707163, 98906779, 951998486, 670908097, 284736448, 262503225, 983929966, 415293691, 296210360, 290923946, 939902782, 936429140, ( -1), 691724800, 75207286, ( -1), ( -1), 38278408, 607307158, 689026291, ( -1), 537228658, 386929132, 732153210, 644004318, 360029412, 17409985, ( -1), 636334437, 943319791, 923599610, 83018507, 242591010, 760040966, ( -1), 564024750, 577053972, ( -1), 197446017, ( -1), 866911973, 851909785, 83402212, ( -1), ( -1), ( -1), 23578289, ( -1), 725086817, ( -1), 96833230, 808821314, 657423182, 89993850, 782045957, ( -1), 616544810, ( -1), 717992254, ( -1), ( -1), ( -1), 371813367, ( -1), 533398501, 795333577, 884966236, ( -1), ( -1), 402037433, 187938305, 160900605, ( -1), 314593862, ( -1), 522526754, 281687967, 190560465, 534313514, 829734316, 804149596, 372612869, 543728472, 126704580, 608826973, ( -1), ( -1), 390168635, ( -1), 253258504, 651290796, 931287347, 420915425, ( -1), ( -1), ( -1), 632537912, ( -1), 691504782, ( -1), 799606997, 145919662, 738596547, 868079899, ( -1), 785460653, 320540999, 969847305, ( -1), 864430187, 557270539, 658672650, 415798914, 769264787, 954872703, 268046121, 941690020, 588359206, 776011329, 550049431, 953218436, 717812095, 534206028, 342813214, 223977817, 533374141, 951852333, 99960673, 737959052, ( -1), 514569747, ( -1), 899591435, ( -1), 446916683, 105516904, 808295246, ( -1), 332984448, 295198182, ( -1), 800847884, ( -1), 554961021, 11414526, ( -1), 627583288, 23647811, 235580607, ( -1), 499936813, ( -1), 244711450, 163888112, ( -1), ( -1), 149649278, 377531804, 220031210, 12978124, 256159865, 595676340, 897148832, ( -1), 718027413, 102536533, 287109528, ( -1), 314840416, 941059170, 986474840, ( -1), 410434608, 732050550, ( -1), 215084745, ( -1), ( -1), 344042703, 938276937, 109636639, 891722784, 660547259, ( -1), 346647293, ( -1), 446269860, ( -1), 35083108, 53099273, 148947468, ( -1), 413161402, 91920860, ( -1), 589430355, ( -1), 997468339, 125701364, 299057275, 38235805, ( -1), 727481095, 949613717, ( -1), 166381001, 717341699, 524203864, ( -1), 543741932, 797528767, 352017833, 740312057, 233149136, 786957950, 667848835, 517943938, 302487615, 457628204, 58559511, 925555425, 848729257, 232291549, 298864781, 332119705, ( -1), 796979219, 578259053, ( -1), 217427754, 61133304, 640906437, ( -1), 867342548, 425687608, 812979616, ( -1), ( -1), 240791378, 711331859, ( -1), ( -1), 141415000, 517298249, 108102008, ( -1), 642039045, 26695536, 944787099, ( -1), 223727973, 696071147, 458234202, 284379792, 545856312, ( -1), 605158364, 237176667, 211755899, ( -1), 349943549, ( -1), 792650871, 76783869, 682089927, 246632442, 492572451, 541365803, 554134920, 359327807, ( -1), 705150556, ( -1), 101417798, 227946109, 539314155, 356617120, 839255306, ( -1), 8783869, ( -1), 132894409, 740092293, ( -1), 651981228, 499840219, 47200930, 251161441, 389219501, 622374959, 737824023, 493817496, 60253464, 654509703, ( -1), 954771777, 633453038, 604045352, ( -1), 259733258, ( -1), 131973894, 382083916, 226914493, ( -1), 91559233, 588829106, 521792216, ( -1), 371479057, 719983785, 581508292, 144903401, 953494592, ( -1), ( -1), ( -1), 157250149, ( -1), 308525638, ( -1), 239931619, ( -1), 354155415, 703222338, 660930104, 5195733, 969302787, 191325015, 38443972, 155001956, ( -1), ( -1), 376837586, 543251593, ( -1), ( -1), 791771021, ( -1), ( -1), 577093783, 952854703, 213830171, 822370130, 490860188, 474750561, ( -1), 92338138, 683154870, 65193541, 34508560, 998961031, 355896547, ( -1), 353063593, 281985650, 981196296, 768026119, 862603070, ( -1), 108716107, 756006666, 46769708, 62571894, 598504402, ( -1), 19042428, 818182233, 128115150, 299812602, 91868022, 822723378, 144086210, 370748191, 127584022, 866736501, 169730317, 250113967, 510189957, 509615053, ( -1), ( -1), ( -1), 209312422, 110939216, 493962243, 444928719, 481127317, ( -1), 373791703, 32015986, 406041518, ( -1), ( -1), ( -1), 877312397, 625580976, ( -1), 450914604, ( -1), 525452322, 971234409, 412875893, 78747921, 52252403, ( -1), 807408331, 674756538, ( -1), ( -1), 322443082, 226502566, 933682210, ( -1), 390064770, 697494556, 334614432, 72048109, 870150658, 494110236, 765098624, ( -1), 968402715, ( -1), ( -1), ( -1), 298694215, 667851113, 195689468, 736848392, 949420282, 779651623, 388968493, ( -1), 25619124, 570042883, ( -1), 357868677, ( -1), 208249683, 109694141, ( -1), ( -1), ( -1), ( -1), ( -1), 864441716, 72877054, ( -1), 651341276, 234016067, 299424089, ( -1), 369190581, 233330666, 816830079, 697737591, 181141910, 649406325, 176530323, 662422921, ( -1), ( -1), ( -1), 465733596, 337095451, 468311101, ( -1), 295681631, ( -1), 898071118, ( -1), 163282515, 756957089, ( -1), ( -1), 619543606, 396940733, 588244492, ( -1), 512502686, 823418622, 410560609, 472397964, ( -1), 798732326, ( -1), ( -1), 667061343, 253967073, 300133801, ( -1), 533451098, ( -1), 117007555, 907722812, 462308121, 423705811, 475071515, 250389274, 265889833, ( -1), 419924470, 615217015, ( -1), 192437914, ( -1), 214122042, ( -1), 741058697, 510516529, 659448950, ( -1), 263200090, 39135964, 725225426, ( -1), ( -1), ( -1), 912878714, 493534750, 675174120, ( -1), 587529485, 438934490, 884377432, 217196008, ( -1), 276917990, 616482140, 142362848, ( -1), 590015555, 137789384, ( -1), ( -1), 656053126, 408880921, 547742958, 969197799, 916294261, 326377406, 177782085, 222059293, 655704183, 180795626, ( -1), 66414138, 687549616, 659580211, 359585913, 225366632, 829644334, 561581887, 60215926, 553961176, 100514649, 800998608, 315740471, 138071635, 322484605, ( -1), ( -1), 245563631, ( -1), 173520194, 279572542, 316784586, ( -1), 461984358, 452832595, 295136582, 454827870, 998703282, 626256124, 959749669, 362743610, ( -1), 391692523, 616474536, 434756025, 915000103, 106244498, 574724069, 85810875, ( -1), ( -1), 233464158, 541591471, 337923110, 895096496, 844083108, 539254801, 638315451, 556164193, ( -1), 928072663, 424306159, 358436881, 268072283, 72414761, 944246162, ( -1), ( -1), ( -1), 662804657, ( -1), 914002582, ( -1), ( -1), ( -1), ( -1), 118922014, 661937187, ( -1), ( -1), ( -1), ( -1), 630062809, 651095843, ( -1), 813304991, 453849011, ( -1), 703191997, 849884122, 409673428, 390543560, 557893793, 903608871, ( -1), ( -1), 634409529, 815172944, 567581020, 539512055, 760440351, ( -1), 124948186, ( -1), 735175295, 128856289, 774496736, ( -1), ( -1), 359263775, ( -1), 344392176, 20003847, 413012490, 390624900, 980425924, ( -1), ( -1), ( -1), ( -1), ( -1), 548528467, 355809763, 968302517, 129381696, ( -1), 385000887, 764145800, ( -1), 96367522, ( -1), 673707983, ( -1), 549741277, 726590681, 554449552, 184331371, 581251278, 570823582, 296033526, 517431036, 99089484, ( -1), ( -1), 921684695, 683026806, ( -1), 757764179, 560223423, ( -1), 303373979, ( -1), 29492517, 641658720, 846062306, 27468840, ( -1), 105725743, 30428610, 883798356, 392551611, 121237116, ( -1), 446991535, 874175897, 162452527, 210527243, ( -1), 513130179, ( -1), 309249107, 753703685, 728252927, 77444787, 644614703, 98799214, 821261540, 655617786, ( -1), 340139079, ( -1), 890252852, ( -1), 568089045, 512131660, ( -1), 56222052, ( -1), 356576643, 521051028, ( -1), 655153298, ( -1), 691302353, 718300753, 930180770, ( -1), ( -1), 357058562, 784495066, ( -1), 814181564, ( -1), ( -1), ( -1), ( -1), ( -1), 468722832, 439101954, 473416308, 550618605, 764469355, ( -1), 238029218, ( -1), ( -1), 459442600, 407061774, 637196716, 675352410, 231460699, 986862731, ( -1), ( -1), 846823804, 512982472, 133269319, 305897235, 591513235, 615803595, ( -1), 943256412, 486422443, 339356954, 571936959, ( -1), 920522903, 743443770, 203566588, 40227419, 16935506, 547740672, 557886588, ( -1), ( -1), 532286028, 108038579, 349858291, 487451961, 687121756, ( -1), ( -1), 438840231, ( -1), 404752773, 758165303, ( -1), ( -1), ( -1), 687189776, ( -1), ( -1), 518986595, 71496113, 604780123, ( -1), 445443192, 61116193, ( -1), ( -1), ( -1), 636188724, ( -1), 651375753, 772989843, 415173116, ( -1), 407437251, ( -1), ( -1), 557698560, ( -1), 824862775, 268460674, ( -1), ( -1), 364096983, 582316448, 481366914, 868447886, 723241535, 51242095, 996705871, 161237329, 532948561, ( -1), 420344874, ( -1), 671435892, ( -1), 387500254, 655862564, 428938254, 650118083, ( -1), ( -1), ( -1), 868586010, 427758761, 223778397, 618588352, 332281062, 398224352, ( -1), 72574926, 599386423, ( -1), 679130202, 377551735, 843241445, ( -1), ( -1), 28342318, 153661607, 442295387, 422091450, ( -1), 34849625, 671265566, ( -1), 931229237, ( -1), 633584437, 169976147, 706254583, 503559616, 555994320, ( -1), 829943140, ( -1), 218241987, 940749234, 409491179, 712477994, 649821401, ( -1), 879043419, 36544729, 897319427, 463610149, ( -1), 376934647, 766919958, ( -1), 562439151, ( -1), 691308355, ( -1), ( -1), 306372403, ( -1), 727000117, 273353949, 207694807, ( -1), ( -1), ( -1), 439008594, ( -1), 807555098, 855234663, 995147249, 585940090, 317718993, 404645127, 337483997, ( -1), ( -1), ( -1), 304326002, ( -1), ( -1), 33777105, 51031165, 981588611, 855702436, 22822053, 520419882, 751651229, 406894170, 904760122, 815022782, ( -1), 233251446, 938636159, ( -1), ( -1), 95757045, 864661460, ( -1), 671900721, ( -1), 145838892, ( -1), ( -1), 708841752, 595982943, ( -1), 634035782, ( -1), 164570657, ( -1), 465662077, 594887186, ( -1), 150419507, ( -1), 743612646, ( -1), 428144775, 848629680, 665647493, 644694069, 856994045, 475835049, 894189095, 842924753, ( -1), 836073155, 330126589, 441846545, 382201582, 824134263, ( -1), 132426463, 288505629, ( -1), 819694429, 108128114, ( -1), 147290522, 770864043, ( -1), 898813343, 294418795, 823502599, 739681610, 717905497, ( -1), 923443172, 5481379, 765110343, 531624361, 718263511, 483331039, ( -1), 108585281, 593703594, ( -1), 302159818, 933920506, ( -1), 514881249, 577808380, 447739733, 859597481, 980452289, ( -1), 244090152, 194225416, 207875896, 320337997, 653794340, ( -1), ( -1), 207995389, 217126970, 413457769, ( -1), ( -1), ( -1), ( -1), ( -1), 110960613, 333860709, 174477694, 956545379, 622679062, ( -1), 575291873, 365766465, 5621974, ( -1), 832291800, 234927166, 517181274, 798945227, ( -1), 753817670, 131331409, 393900528, 959495547, ( -1), ( -1), ( -1), 261486981, 924484925, 535236493, 835083928, 513024251, 74138005, 193034923, 713602886, 915271791, ( -1), ( -1), 668794084, ( -1), ( -1), ( -1), 744152352, 638876968, ( -1), 637874877, 151725828, 464011447, 531824401, 660082055, ( -1), 602388007, 142635021, 94596637, 693513119, 267243141, 940156845, 575283188, 214359425, 51821229, ( -1), ( -1), 872439242, 218680840, 52760885, ( -1), ( -1), ( -1), 115110141, 441508284, ( -1), 606990803, 358044407, 781473101, 854776668, ( -1), ( -1), 971373897, 583522811, ( -1), ( -1), ( -1), 881943880, 465560383, ( -1), 938101183, 180239113, 828472555, ( -1), ( -1), 520718748, 553249736, 413901929, 428132612, 989067097, ( -1), 931702388, 555699801, 975996590, 75562454, 120113188, 456833479, ( -1), 917489405, 109769027, 933984603, 520154130, 915231723, 524002567, ( -1), 984229203, 84572893, 725298502, ( -1), ( -1), ( -1), 748457819, ( -1), 756466918, ( -1), 489777136, ( -1), 981945424, ( -1), ( -1), 977074419, 120085307, ( -1), 786105713, 189440485, 539212300, 262215938, 528365516, ( -1), ( -1), 950128351, 43788983, ( -1), ( -1), 507556286, 420931115, 306959665, 431130702, 21744568, 393282330, 759768718, 338544760, 182969611, 160552520, 384137368, 60223389, ( -1), 139079660, 453725908, 237174836, 101571330, 560202735, 871398669, 149526602, 451461243, 983067821, ( -1), 620305848, ( -1), 850260600, 96713716, 514779178, 183331053, ( -1), 487473630, 398887175, ( -1), ( -1), 771169728, 343990992, 252232350, ( -1), ( -1), 497863257, 24078587, 43612499, 961213187, ( -1), 717218819, ( -1), 774849056, 589402454, 407354214, 238541760, 160161557, 552850993, ( -1), 120120500, 132368991, 432691599, 198176797, ( -1), 196190960, ( -1), 247314313, 2094993, 630432313, 897030312, 265137541, 179263278, 643957359, ( -1), ( -1), 895973622, 703928669, 249748240, 462045500, 919750241, 639345147, ( -1), 408545702, ( -1), ( -1), 767555075, 703308533, 403805158, 667148942, 240232942, ( -1), 309951116, 495948731, 143576854, ( -1), 769344087, 491715280, 497370916, 920167842, 61602023, ( -1), ( -1), 920941826, 327375363, 132176457, 818012215, 627176516, ( -1), 443591126, 882124372, 679907680, 17447529, 993599826, 228930787, 443963143, 635036689, ( -1), 959450182, ( -1), ( -1), 92320476, 404790961, 649100924, 535318226, 742797720, 198218508, ( -1), ( -1), 574796849, 148123860, 906663441, 255443078, ( -1), 910689320, ( -1), 981192185, 190233399, ( -1), 200391925, 308951501, ( -1), 716369899, 871396717, 674071088, 321567889, 808929175, ( -1), ( -1), ( -1), 739109262, ( -1), ( -1), ( -1), 923054775, 915188519, 340467563, 168710679, ( -1), ( -1), 434135713, 358295133, 421073160, ( -1), 377209918, 758907285, 158543304, 300348895, 621048330, ( -1), 964546011, 466237695, 907714033, ( -1), 165758706, 788019430, 657898488, ( -1), 775126518, 438433505, 540677034, 803605040, 812301650, 988702727, 524639659, ( -1), 30559378, 798618624, 237036347, 319771032, 983600989, 696321185, 562877699, 188073061, 990761292, 676130588, 434151799, ( -1), 247833761, 936694589, 139908127, 749388141, ( -1), 76056023, 204513516, 604290475, ( -1), 662568304, 229724393, 312661275, 64703418, 89066293, 927647526, 121550326, ( -1), 127314366, 53340882, 988705953, 979611594, ( -1), ( -1), ( -1), 278442543, 782908177, 88247704, 939349003, 467140054, 587571551, 726704358, ( -1), 685701607, ( -1), ( -1), 597341752, 546643739, 920474894, ( -1), ( -1), 851461761, ( -1), 856646903, ( -1), 666671481, 884832427, 543877611, ( -1), ( -1), ( -1), 212558550, 341941158, 257389983, ( -1), 222733390, ( -1), 394216695, 962918188, 910319361, 426545958, 50407169, ( -1), 865616323, 758606504, ( -1), 715953709, ( -1), ( -1), 65455298, 792088619, 850151088, 806235201, ( -1), ( -1), 705145227, 163723359, 324279974, ( -1), ( -1), ( -1), ( -1), 17672823, 944131568, 58186357, 255871650, ( -1), 602510088, 616503260, ( -1), 951557918, 351735640, 178631505, ( -1), 542601992, 536499903, 332105068, 553835968, ( -1), 379708980, 572632170, 950669495, 208265629, 459955325, 604548680, 806196924, 724817195, 604296287, 600866873, ( -1), 863766587, 522981677, ( -1), ( -1), ( -1), 207558667, 36787096, 529972440, 228605785, ( -1), 374922751, ( -1), 859891531, ( -1), 263747954, 608474914, 326326211, 755956258, ( -1), ( -1), ( -1), 289416161, 549278499, 85524418, 173278765, 692979769, ( -1), 258543259, ( -1), 32243193, 110561345, 155811103, 932854247, ( -1), ( -1), 98486205, ( -1), 233817240, 572069197, 470636614, 885877343, 442641637, ( -1), 248902249, 941888234, 32114609, ( -1), ( -1), 856332329, 868568937, 375224932, 566435485, 162626734, 6460877, 267630279, ( -1), ( -1), 136148247, 345955175, 513940382, 223055541, 453815081, 498461490, ( -1), 443438021, 849533626, 517931544, 946622571, 955272557, 613405943, ( -1), ( -1), 698837855, 864851368, 886459179, 459910939, 700005700, 460291545, 778790045, ( -1), 987004393, 409768153, 618833000, 281761476, 348863109, ( -1), 525900478, 853494194, 663327315, 783608927, 668592887, 139210659, 408567151, 840753563, 722972536, ( -1), 590146845, ( -1), 588385013, ( -1), 993072229, 337978876, ( -1), 428994378, ( -1), ( -1), ( -1), 324964049, 666187083, 83711295, 109971275, 917776045, 761887738, 398159879, 16888035, 499216384, 831158442, 789522190, ( -1), ( -1), 280348842, 453541648, 611978076, ( -1), 436913050, 210323850, 670918283, 199417208, 963676748, ( -1), ( -1), 243436248, 883386304, ( -1), 437542125, 535565332, 256467341, 189343970, 972843838, 317955565, ( -1), ( -1), ( -1), ( -1), 417887237, 964327572, 954361329, ( -1), 30894873, ( -1), 54161079, 846962710, 454397314, ( -1), ( -1), 47641460, 196712893, 567356159, 696956475, 571941318, ( -1), 898609153, 714530404, ( -1), 38234791, 572033298, 365772734, ( -1), ( -1), 558123425, ( -1), 45391020, ( -1), 183217998, 311160885, ( -1), 269832296, ( -1), 997907656, 463898963, 620509432, ( -1), 495628825, 561699614, 705541330, 478277767, 682149106, ( -1), 718758425, ( -1), 826915837, 125045306, 220885159, 759080600, 615500672, ( -1), 339321158, 180215395, ( -1), 779083244, 430743751, 900157776, 34002861, 644783899, 719268253, 741297038, 909063493, 842410781, ( -1), 178508703, ( -1), 838529294, 887396736, 240143912, 242004650, 874750545, 740828741, 379771075, 907397197, 466637813, 349061240, 990616929, 714736461, ( -1), ( -1), 402182577, 266839816, 446673734, ( -1), ( -1), 594572613, ( -1), 729912645, 157025097, 721152603, ( -1), ( -1), ( -1), ( -1), 351394641, 785478860, ( -1), 92460342, 859660238, 717469310, 393829057, 567289244, 745293889, ( -1), 714493581, 243037848, 756187030, 500077033, 22136887, ( -1), 147011092, 17504915, 470346636, ( -1), 851187651, 587698052, 677770604, 309066631, 654566923, 846150946, ( -1), 749225330, ( -1), 876698191, ( -1), 817046160, 337006858, 961908989, ( -1), 731805012, 486474871, ( -1), 135167591, 839013430, ( -1), 998121989, 168238808, 579490861, ( -1), 417422085, 322190817, ( -1), 910064926, 745682914, 637244606, ( -1), 421948573, 335809291, 409983640, ( -1), 14049625, 758120389, ( -1), 454734074, 342458954, 275267372, 280815653, ( -1), 517682543, 891259080, 229387187, 646150188, 683024659, 645638086, 688335388, ( -1), 554153799, 311550011, 60530509, ( -1), 706040146, 204313168, 533879889, ( -1), 776391397, 504298654, 845357489, ( -1), 671726114, 525363653, 838758078, ( -1), 220714659, 326692674, 327690342, ( -1), 481253118, 872759799, 156940688, ( -1), 595328324, 321403462, ( -1), ( -1), 563928710, ( -1), ( -1), 63577161, 464368485, 779696454, 65156525, 591355395, 581564112, ( -1), 6609746, 774242375, ( -1), 12617808, 880530079, 922658472, 253807191, 977878005, 973260843, 580801090, 914691175, 268343061, ( -1), 620124992, 275677142, ( -1), 907338619, ( -1), ( -1), 30725081, 46620108, 120738104, 148354235, 843972769, 814505607, 632085249, 308556412, 543967688, 97191953, ( -1), 733630955, 165794848, 620599242, 724501451, ( -1), 304983593, 27817716, 116875354, 235073457, 836044, ( -1), ( -1), ( -1), 134702160, 693865094, 315855325, 919100957, ( -1), ( -1), 4482251, 942157168, 159909006, ( -1), 548718640, 483701263, ( -1), 897521900, ( -1), 286867568, 655865915, ( -1), 640457297, 868572770, 558933038, ( -1), 369657281, 591196170, 630437476, ( -1), 50366338, 381243015, ( -1), 10630571, 249388417, 850918665, ( -1), ( -1), 287733515, 445346313, 613477919, ( -1), 848371628, 386050557, 337005466, 509231292, 891081201, 258171687, 106865366, ( -1), ( -1), ( -1), 441255310, 674826267, 239856922, 282633363, 16716637, 797292000, 939500790, 525952858, ( -1), 584887611, ( -1), ( -1), 444896546, ( -1), 957634484, 507784786, 487856283, ( -1), ( -1), 265709303, ( -1), 176360300, 166694605, 679741874, 60483681, ( -1), 956793179, 949762406, ( -1), ( -1), ( -1), 229461438, 300416088, 510540793, 321553150, 405758719, 450244978, 912079261, 654044614, 267640048, ( -1), 842574579, 208437584, 35777633, 955467128, 133195534, 286708456, 625421805, ( -1), 787926428, 642922427, 382325449, ( -1), ( -1), 191983230, 367526721, ( -1), 233155465, 742517469, 656995107, ( -1), 257356215, 130939454, 526212176, 660593572, 497239992, ( -1), ( -1), 464359273, 152706477, ( -1), 641214678, 259700724, 329091519, ( -1), 745803843, 65911393, 649896027, 916115631, 985272893, 631230979, ( -1), 502108259, 20486436, 896396195, 527313357, 191802620, ( -1), 657081425, 593324927, 918347085, 48869165, 489126790, ( -1), 70365484, ( -1), 14236954, 158741540, 643427602, 313636890, 136744520, ( -1), 556313907, 391709892, ( -1), 182366270, 306870537, 726454406, 828038254, 445961858, 95153871, 396689641, 937032652, 994220275, 27473425, 612276809, 413250493, ( -1), 474150647, 334050466, 583736802, ( -1), ( -1), ( -1), 769776636, 419018846, ( -1), 158220479, ( -1), 754103721, 216797438, 325202459, ( -1), 465098797, 490837825, ( -1), 750622542, ( -1), 301638024, ( -1), 80146686, 174983850, 30534737, ( -1), 598529442, 128683531, 270360716, 787869666, 231853961, 782972728, 176500365, ( -1), 427003775, ( -1), ( -1), 894626076, 504907385, ( -1), 270729625, 277917826, 591895535, 79258544, 554244492, 614242793, 591107693, 543718167, ( -1), 374541265, ( -1), 839444466, ( -1), 658369641, 513260899, 942594930, 688158714, 767291310, ( -1), 543488019, 869677473, 896026038, 600305861, 21367046, ( -1), 846598694, ( -1), 782141255, 763977800, 197886270, 873610064, 224385021, ( -1), ( -1), 513008238, 795576885, 858602712, 88678353, 423084866, 864161261, ( -1), 907119872, 569099522, 523930782, ( -1), 503900301, ( -1), 157768655, ( -1), 131647853, 250805441, 3091895, 424806358, 807043010, 905295278, 428228752, 651580982, 949377458, 21141122, 382973753, ( -1), ( -1), 107778539, 414460011, 597027308, ( -1), ( -1), 247183117, 849874417, ( -1), 383968645, 400339565, 315969535, 455712708, 3586192, 480910086, 307539030, 611810553, 768240371, ( -1), ( -1), ( -1), 276663319, 912720144, 73522733, ( -1), ( -1), 897496696, 507954451, 249053632, 752102533, ( -1), 957397082, 62239315, 50334568, 470417639, 504980125, 348995606, 292216309, ( -1), 4937908, 237631180, 782547002, ( -1), 315261654, 83500416, ( -1), 492254145, 368801455, 226587254, 480191745, ( -1), ( -1), ( -1), 169975751, ( -1), 711150736, 161358233, 597673163, 852412019, ( -1), 624769026, 284310796, ( -1), 434529831, ( -1), ( -1), ( -1), ( -1), 246989264, 275953359, 809813611, 102429285, ( -1), 552224256, 982729346, 629144571, 239846628, 914983969, 333122850, 549941700, 660446423, 899069531, 236791693, ( -1), 232783630, ( -1), 565962664, 443885970, 192445171, ( -1), 928455334, ( -1), 254057479, 397251032, 512636965, 806004925, ( -1), 978030408, ( -1), ( -1), 114294997, 303642185, 358204287, ( -1), ( -1), 457363219, 34600332, ( -1), 653592544, ( -1), ( -1), 753926668, 282143764, 393700900, 596465024, ( -1), 868312433, 877697732, 184296284, ( -1), 215680913, 561485285, ( -1), ( -1), 676449887, 463851777, 683233767, 905368954, 512863409, ( -1), 935623482, 76692439, 244242850, 460914102, 806037164, 517528295, 955071710, 326933062, 338676275, ( -1), 211515104, 360911863, 119582396, 72855417, 717271517, 316345293, 391188652, ( -1), 66550138, 102049501, 579052053, ( -1), 679360700, 833391499, ( -1), 976578238, 716785257, 647394982, 466448517, ( -1), ( -1), 699327733, 526841494, 587593519, ( -1), ( -1), 4122070, 706944136, 176091575, ( -1), 285889423, 118126910, ( -1), 277401907, ( -1), ( -1), 903905063, ( -1), ( -1), ( -1), 937395167, ( -1), ( -1), 843556342, ( -1), 113576251, ( -1), 470434470, ( -1), ( -1), ( -1), ( -1), 980224766, 8536265, ( -1), 294934153, 670582490, ( -1), 58324368, 402833414, 170878426, 708045987, ( -1), 915498507, 923595607, ( -1), 879310506, ( -1), 875729578, 137781839, ( -1), ( -1), 963439448, 141923997, ( -1), 836733258, 930531888, ( -1), 60518629, 229625643, 675701428, ( -1), 569078376, ( -1), 184848881, ( -1), 902499073, 859203066, 856800290, 993440828, 795434365, 811550686, 415306772, ( -1), 543894848, 12138467, 449796077, 323523339, ( -1), 664407701, 384526457, ( -1), ( -1), ( -1), 330562501, ( -1), ( -1), ( -1), 990704066, 467861222, ( -1), ( -1), 651783228, 182648972, 265536147, ( -1), 862091763, 621499289, 682153342, ( -1), 385622961, ( -1), 713417906, ( -1), 819055010, 254415714, 334456956, 741867978, 128820568, 249425230, 210649617, ( -1), 795684902, 319957435, 596598466, 599838272, ( -1), ( -1), 300252029, ( -1), 170997796, 146978335, 375877826, 278445780, 437461011, 967366048, ( -1), 348018381, 631979320, ( -1), 600957385, 953164236, 629992819, 248248418, ( -1), 825082545, 175216267, ( -1), 861147395, 265940273, 380867919, 512709045, 330439661, 164153896, ( -1), 484986765, ( -1), 737240904, 574013272, 21836359, 609888560, 868777796, 607639920, 831694106, 772037813, ( -1), 246371888, 932529044, 903344765, ( -1), 41931915, 367733845, 415634235, ( -1), 973962796, 160474260, 258402059, 629169439, 356139940, ( -1), 395116004, 993415537, ( -1), 85414231, 674745017, 357897773, 71738213, ( -1), 435290021, 156058252, ( -1), ( -1), 516037163, 292171594, 588543909, 467268746, 337373424, 323235292, 393192032, 96115221, 984860910, 859681846, 146936975, 202339117, 41838551, 786905804, ( -1), 905647363, ( -1), 59998573, 34463871, ( -1), 969206293, ( -1), 613847473, ( -1), 660907373, 617817248, 368748411, 6349409, 587267849, 487347087, ( -1), 948827974, 681097184, ( -1), 879241588, 561048598, 679868430, 996141375, 336451525, 687292821, 964171654, 953904511, 800257519, ( -1), 116404812, 694881476, ( -1), 147210057, 389275531, 124948641, 774448046, 364284236, 462408402, 278096213, 819965194, 780687115, 622734623, ( -1), ( -1), 89666564, ( -1), 617607392, 531419720, ( -1), 657096976, 349490149, ( -1), 661942171, 449118340, 805157659, 529921530, 668360268, 566421598, 639028674, ( -1), ( -1), 267808008, ( -1), ( -1), 311274594, 102533562, 630727968, 241649954, 908185672, ( -1), ( -1), ( -1), 35987573, 900170151, 892734308, 317140159, ( -1), ( -1), 729756534, 577088953, 109885168, ( -1), ( -1), ( -1), ( -1), 479096603, 935844793, 642493833, 228874170, 749738860, 553312982, ( -1), 295447851, 533318245, 258300286, 670101667, 909839046, 773605218, 150702901, 788588852, ( -1), 649442246, 944453579, 67457098, 883110479, ( -1), 314857421, ( -1), 894247304, 716697745, 424487665, 824519614, 87106815, 948089357, 737573333, 151931957, 326366939, ( -1), 371392101, 4546864, ( -1), ( -1), 810025953, 655060284, 520000777, 333082423, ( -1), ( -1), ( -1), 613963435, 682687268, 942700745, 647308115, 825649872, ( -1), 498231317, 622168407, 215928106, 759099733, 217192227, 100069732, ( -1), 686830793, ( -1), ( -1), 782535321, 497766307, 276297702, 478368199, 883156385, 259165100, 677965688, 498934781, 796638742, 837080428, 515304342, ( -1), 52620504, ( -1), ( -1), 578228759, 79868809, 363451861, ( -1), 989395917, 5211508, 646053797, ( -1), 953349617, ( -1), 664226754, 936925990, 177945642, 928104469, ( -1), 806818298, 23080036, ( -1), ( -1), ( -1), 790721900, 896007331, ( -1), ( -1), ( -1), ( -1), 606574866, ( -1), 638475459, 755059365, 584500264, 393233159, ( -1), 902072981, 550029751, 293499756, 510436180, 215942465, ( -1), 577948818, 81053814, 453427199, 923957774, 951357171, 119386619, 929916339, 667589187, 997671340, 90557952, ( -1), 229397764, 183751820, ( -1), 593802054, 493846311, 511871984, 986539149, 997274800, 195126759, ( -1), 87649358, 594936709, ( -1), 983989356, 155175389, 152288976, 355567940, 88622978, 738765207, 65112127, 801799043, 877455163, 652404748, 986234449, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 190011399, ( -1), 577102560, 536049238, 419455490, ( -1), 794247118, ( -1), 309975590, 831226891, 591830386, ( -1), 611701717, ( -1), 780669887, 266726689, 319264448, 806164868, ( -1), 837397281, 568433951, 643656574, 895105099, ( -1), 288595551, 7191624, 638242959, ( -1), ( -1), 690375612, 42607563, 683932195, ( -1), 824261119, 964061696, 628975702, 660375187, 131882125, 955898692, 980033375, 558809673, 769908827, 209838250, ( -1), 107943796, 352289253, ( -1), 128612256, 637963833, 923711129, 699925383, ( -1), ( -1), 529898006, 631125971, ( -1), 66348555, 895374581, ( -1), 818580660, ( -1), ( -1), 126585110, ( -1), 206017431, ( -1), 92532952, 227037659, 579159608, 616573155, 356558428, 944075815, 169602072, 661657017, 535800943, 395546385, 578947558, 708500147, 216019035, ( -1), 414550009, 835567433, 416652581, ( -1), ( -1), 549025500, 683367372, ( -1), 121181742, 809842134, ( -1), ( -1), 59097449, 27756400, 840893667, 699150947, 634009531, 977051336, 643034769, 334825565, ( -1), 675260397, 876114596, 954376701, ( -1), ( -1), ( -1), 476293056, ( -1), 920036227, 927670094, 375972821, 950489687, 894996484, 513123444, ( -1), 387826280, ( -1), 750987121, 773535418, 493532408, 846369648, 665646927, 428642183, 679972177, ( -1), ( -1), 561071407, ( -1), ( -1), ( -1), 785759774, ( -1), 702804020, ( -1), 703726491, ( -1), ( -1), 332798966, 71220321, 246089977, 503386139, ( -1), ( -1), 606743316, ( -1), 421174327, 957395711, ( -1), 942737262, 492978361, 48938643, 940064029, ( -1), 824560154, ( -1), ( -1), 961547559, ( -1), ( -1), 213376488, 237695835, ( -1), 884542102, 182095408, 295648785, 711040393, 138979273, 996886504, ( -1), 320249698, ( -1), 611611619, 7047793, 943986114, 840060858, ( -1), 965471893, 475429275, 950991649, 747684054, 912656815, 121030899, 283881814, ( -1), 780321716, ( -1), 795972605, ( -1), 423514219, 17733505, ( -1), ( -1), 758001785, ( -1), 21545878, 972445960, 880968311, 342231143, ( -1), 732669394, ( -1), ( -1), 695131926, 799250640, 654822934, 675394758, 140158979, 779819717, ( -1), 825534060, 94843688, 492106489, 758647602, ( -1), 350368024, 879143985, 501404925, 555403836, 314623134, ( -1), ( -1), 230128647, 762842724, 221860654, 394424010, 843344130, ( -1), 192714422, ( -1), 281001123, 335196311, 267029670, ( -1), ( -1), 6156567, 991068933, ( -1), 2187830, 768433138, ( -1), 651987180, 227882286, 794572036, ( -1), ( -1), ( -1), 373496614, 427729167, 219849942, 666494236, 564263040, 738188504, 261150384, ( -1), ( -1), 622810623, 979985424, 608884483, ( -1), 139770884, 917379288, ( -1), 415265586, ( -1), ( -1), ( -1), 603219042, ( -1), 803206351, ( -1), ( -1), 548419463, ( -1), 149428637, ( -1), 442342960, 608690430, ( -1), 668386645, ( -1), 347250498, 780196975, 173561398, ( -1), ( -1), 731103400, 75461575, 88046018, 648426167, 301228228, 223435751, ( -1), 964337196, 789675860, 512593901, 491008184, 143119188, ( -1), ( -1), 311053714, 283604074, 415077092, 973883930, ( -1), 409410153, ( -1), 542849045, 661724081, 964914849, ( -1), 432449069, ( -1), 11302461, 951153535, ( -1), 831908513, 861055141, 25862089, ( -1), 805774480, 609830438, 521168722, 757471613, 399336245, ( -1), 841412266, 754007901, 782747204, 625446869, 735065709, 797678707, 546636282, 925668855, 807108620, ( -1), ( -1), ( -1), ( -1), ( -1), 729461322, 500094359, ( -1), 569883723, ( -1), ( -1), ( -1), 504950752, ( -1), ( -1), 133297898, 645316197, ( -1), 139119129, 631173998, ( -1), 983842259, 675139528, ( -1), 137445060, 325693263, 494478179, 814442724, 658675786, 225282399, 135195105, 809339344, 922384365, 792877486, 214669310, 653253072, 682165712, ( -1), ( -1), 294630821, ( -1), 924656467, 441842571, ( -1), 178666825, 828261626, 481775525, 411664094, 968326944, ( -1), 365243973, 457467145, ( -1), ( -1), 842520006, 679261940, 419267516, ( -1), 543157635, 119027482, 327678960, 32166056, 560942314, 763478923, 189430711, 795195632, 399624934, ( -1), 958049141, 480598519, 992292710, 845905105, 232101361, 889604063, 901821808, ( -1), 468166851, 888996855, ( -1), ( -1), 740600530, 356196302, 660535283, ( -1), 966724146, ( -1), ( -1), 28154959, 770979720, 12535336, 377088809, 600282933, 111968909, 69689532, 521696252, 637146844, ( -1), ( -1), ( -1), 215016064, ( -1), ( -1), ( -1), 970366772, 491671283, 235579900, ( -1), 374911891, 894279300, ( -1), 873660457, 737751746, 864345458, 216134834, 442119129, ( -1), 99247568, ( -1), ( -1), 887629692, ( -1), 208614433, 217085753, 65410129, 760001812, 360775006, 94140724, ( -1), 33894035, 679183272, 587628055, 516196548, 647388211, ( -1), 519363331, ( -1), 216886927, 748876048, ( -1), 537215550, ( -1), 280421929, 600947435, ( -1), ( -1), 850511340, 187180198, ( -1), 260015523, ( -1), ( -1), 999402157, 723490701, 228493819, 995630144, 436101181, 318233135, 430041519, 897365707, 85652404, ( -1), ( -1), 818119399, 869436044, 749322540, 869801532, 94559255, 645075416, 179895728, 515236145, 782902593, 942004242, 217375064, 322195434, 404478830, ( -1), 956992432, 405950636, ( -1), 525307202, ( -1), 827895502, 838307434, ( -1), ( -1), ( -1), 914007398, 120028990, ( -1), 34438426, 83961528, ( -1), 695978075, 795945527, 426823034, ( -1), ( -1), 3682097, ( -1), 342108794, 733931278, 295069809, 551898070, 141009557, 909158032, 163552814, 923777991, 938586238, 37712661, 855514257, 203049877, 777687652, 395385516, 567510876, 485571350, 342025629, 380732695, 146898093, 918279295, ( -1), 338635379, ( -1), 330174186, 84619768, 728613364, 26942615, ( -1), 854194543, 768045965, 255004134, ( -1), 499856482, ( -1), 926219615, ( -1), ( -1), ( -1), 529384975, 178979530, ( -1), 792098569, 103575687, 21681507, 897583621, 352339139, 442143732, 656948412, ( -1), 187088092, 222080715, ( -1), ( -1), ( -1), 765108950, 335575299, 793768409, 394172884, 477630094, ( -1), 635596372, ( -1), 846313588, ( -1), 734534989, 437506303, ( -1), ( -1), 328105716, 36519376, 409988716, 186738942, ( -1), 636201501, 160960668, ( -1), 208506408, 369962225, 897724884, ( -1), 34591471, 731899941, ( -1), ( -1), 434264715, 832843118, 815458547, ( -1), ( -1), ( -1), 17295196, 576621403, 981659954, 632827814, 544795337, 46455510, 37772367, 428843859, ( -1), ( -1), ( -1), ( -1), 39203659, 949556404, 299196726, 217423079, 608621639, ( -1), 423432182, 525017843, ( -1), 26628480, ( -1), ( -1), 731554285, 487292079, 88801156, ( -1), ( -1), 303220916, 215280994, ( -1), 468937046, 915585336, ( -1), 82679208, 699459386, 932360083, 810982195, 889097609, ( -1), 792219729, 941718039, 656341978, 422108334, 493949725, 291155470, 200619907, ( -1), 132382491, ( -1), 180305998, 244909515, 592393287, ( -1), 550760074, ( -1), ( -1), ( -1), ( -1), 760483893, 325365078, 866030047, 648514855, ( -1), 187060620, 851502903, 280505813, 404819885, 662052981, 756375747, ( -1), ( -1), 829755793, ( -1), 923746249, ( -1), 805670411, ( -1), 285902609, 251934673, ( -1), ( -1), 642544394, 376737163, 564894662, ( -1), ( -1), 39399070, 737991851, 54161954, 710854309, 559417840, ( -1), 90385552, 978916961, 255096716, 339019174, 799851897, 964753347, 103898322, 766313344, 933762712, 433220227, ( -1), 517975260, 481638484, 623471030, 445255210, 509788644, 495565569, 169735486, ( -1), 831743069, ( -1), 86136841, ( -1), ( -1), 426672941, 491028638, 392389818, 641668422, 926685560, 246063693, 608694579, 747310814, 659286919, 883332570, 759969321, 933674054, ( -1), ( -1), 132751854, 554194703, ( -1), ( -1), 946213304, 225576352, ( -1), ( -1), 379060644, ( -1), 378547417, 602679759, 35241586, 215402206, 405012369, 64073564, 573722708, 955701150, 198306230, ( -1), 380341898, 272142669, 916938964, 935197750, ( -1), 162094406, 483294671, 284066451, 743107235, 921904466, 57775891, 659014597, ( -1), 396392846, ( -1), 317150245, 190609861, 375509894, ( -1), ( -1), ( -1), 532113122, 69974099, ( -1), 716811167, 499163015, 11670465, 444638541, 909488007, 735570223, 63526961, 195559216, 35074936, 31885973, 928043991, 312949597, 989373669, 366214988, ( -1), 501301629, ( -1), ( -1), 588866472, 803545273, ( -1), 671486895, 389017931, 304383930, ( -1), ( -1), 249982825, 697797110, 310600355, ( -1), 68610557, ( -1), 919770113, 756701318, ( -1), 443314468, 337100898, 178844509, 853140979, 382609158, 209371378, 342346029, 342211948, 323961306, ( -1), ( -1), 952412497, 769561937, 442928681, ( -1), 418287755, 229525879, ( -1), 178732870, ( -1), 380396841, ( -1), 851157823, 266393344, 805692804, 250590408, ( -1), 198861002, 808878879, 164183624, ( -1), ( -1), 930864071, 133776922, 578390583, 673517601, 247281684, ( -1), ( -1), 770940089, ( -1), 567993856, 641765949, 477783143, 434791846, 260123904, 94885382, ( -1), 387594261, 543850633, 929446568, 374665506, 792193590, 500366833, 931470674, 186554519, 422144161, 901369456, ( -1), ( -1), 463419912, 818203332, 54725598, 870437123, 824183458, 863715761, ( -1), ( -1), 484998401, 151059009, 90154678, ( -1), ( -1), ( -1), 963855790, ( -1), ( -1), 660579435, 233514275, 104357270, 441856405, 194097414, 476008093, ( -1), 334361319, ( -1), ( -1), ( -1), ( -1), 616359761, ( -1), ( -1), 785656963, 315249361, 362163572, 250651691, 143995226, 937024788, 539764192, 919937129, 512034700, 330187012, 798531467, 538628858, 22723263, 161922312, 57360582, ( -1), 971541716, 715620718, 235368141, 888915467, ( -1), ( -1), 408653286, 619492976, ( -1), 285707721, 739409175, 462367926, ( -1), 287513165, 629445853, 528085491, 375001984, 194215752, 135081308, 62244406, 309953425, 557753850, 108241104, 902249568, 624660597, ( -1), 456167493, ( -1), ( -1), ( -1), 440439899, 157448376, 650763565, 87361824, 142150533, 14946742, 492409640, ( -1), 711786702, ( -1), ( -1), ( -1), 197145683, 834464151, 980109879, ( -1), ( -1), ( -1), 16117667, 10547861, 67239088, 142229225, ( -1), ( -1), 461166648, 612324787, ( -1), ( -1), 4575768, 237860835, 326807216, 470236844, 469313155, 330464444, ( -1), 46759321, 507152277, 653320409, ( -1), ( -1), 74680360, 712177882, 336343700, 749945874, ( -1), 819732430, 647922283, 702340681, ( -1), ( -1), ( -1), 529741830, ( -1), ( -1), ( -1), ( -1), 87535278, ( -1), ( -1), ( -1), 832539553, 100579652, 753461736, ( -1), ( -1), ( -1), 425096017, ( -1), 540715209, 265018024, 165999980, 363330996, ( -1), 378775277, 34545955, ( -1), 191787157, 979263630, 17544060, 499719077, 219178094, 552689466, ( -1), 738323369, 243336113, 464595103, ( -1), 918874243, 981398559, 708799766, 721686537, 208094445, 100252048, ( -1), ( -1), ( -1), 492071953, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 739550168, 984124643, 570780917, 367112194, 629730460, 741432809, 359214066, 962841560, ( -1), 593616386, ( -1), 180515717, ( -1), 884835605, 946705270, 102724011, 268358737, 988191422, 423833408, 943294878, 909400403, 674496204, 944292374, 351507725, 617387111, 878405595, 551680433, 55235560, 677648625, 307957798, 910719527, 986880987, 89545444, 978373504, 58151399, 691898577, ( -1), 989843714, 712942295, ( -1), 17234225, ( -1), ( -1), 849484014, ( -1), 909897097, ( -1), ( -1), ( -1), 557527688, 718054519, 648819954, ( -1), 698759342, 276160953, ( -1), ( -1), 466482629, ( -1), 352964229, 724784767, 165437519, ( -1), 502952072, 689384078, 495037056, 161282991, 849362292, 213653030, 121729226, ( -1), 949725348, 387580181, ( -1), ( -1), ( -1), 147166013, 238386713, ( -1), 126380361, 940817194, 723352630, 644043935, ( -1), 69729908, ( -1), 239333651, 972129742, ( -1), 490077491, ( -1), 322357674, ( -1), ( -1), ( -1), 908225047, 649667822, ( -1), 61487167, 185906636, 211234028, 224436277, 131634223, 520359538, 557364091, 262007194, 2461019, 30301050, 896291609, 694063402, ( -1), ( -1), ( -1), 244065398, ( -1), ( -1), 22335105, 824830124, 686560770, 707617326, 576393615, 894941510, ( -1), 395338954, 218320563, ( -1), ( -1), 195362668, 242911133, ( -1), 829511924, ( -1), 263570326, 395138702, 884776303, 77214721, 740886199, 90327358, 486286182, 245018194, 295456224, 528508880, 186795243, ( -1), ( -1), 709001497, ( -1), 263639230, 176074680, 24309828, 817105020, 799329518, 468777870, 634558473, 408033663, ( -1), ( -1), ( -1), 989214879, 147497147, 774352307, 815231391, ( -1), ( -1), 282011329, ( -1), 223032145, ( -1), 751484974, 510763182, 106896785, ( -1), 382603768, ( -1), 685197289, 470865619, 994939168, 413078731, 152913038, ( -1), 294464056, ( -1), ( -1), 309565198, 948214557, ( -1), 74154798, 527945335, 355641962, ( -1), 7198805, ( -1), 636151357, 369132833, 330500956, 885314820, 617526651, 678044641, 991071093, 326522254, 682682363, 434902613, 689636108, ( -1), ( -1), 647768661, 21119653, ( -1), ( -1), 359821275, 497752461, ( -1), 22262997, 48779118, 224634113, ( -1), ( -1), ( -1), 773214609, ( -1), 40341113, 623322297, ( -1), 856920430, 560375647, 991038794, 712594056, ( -1), 463469927, 218796752, ( -1), 127567971, ( -1), 718985786, ( -1), 940238558, 512281603, 573358560, 64676130, ( -1), 348268302, 137338087, 363424896, ( -1), 38204240, 692141290, 11319177, 40242390, 767010937, 585591007, 926090636, ( -1), ( -1), 260850536, 535889311, 305113103, 790952470, 334988866, 968346178, 894273637, ( -1), 275090505, ( -1), ( -1), 738445072, ( -1), 573106449, ( -1), ( -1), ( -1), 899791733, 101763957, 46024982, 658462530, 988193977, ( -1), 439625030, 447923692, 355154855, ( -1), ( -1), 378627229, 921432817, ( -1), 941606990, ( -1), ( -1), 167388154, ( -1), ( -1), 352940047, ( -1), ( -1), ( -1), 892533595, 125250357, 207829802, 829861114, 977358983, 834933188, ( -1), 275554450, 800804269, 446268316, 275927448, 875133046, ( -1), 493645252, 930361833, 155857274, 473445098, 276608785, ( -1), 734894846, ( -1), ( -1), 324368265, 118464527, 733789486, 448947139, ( -1), 927436858, 666328500, 800762403, 764992915, 219162258, ( -1), ( -1), 622926416, 618363483, ( -1), 492971545, 50717021, 346314174, 969166422, 46113328, 200739843, ( -1), 939949279, ( -1), 246157261, 480078290, ( -1), ( -1), ( -1), 285909932, ( -1), 843344117, ( -1), 481911797, 459263266, 820581066, ( -1), 504617139, 140148122, 871562145, 953980207, 980181989, 369847050, 461534227, ( -1), 815055317, 950290675, 281111642, 768825677, 334985676, ( -1), 78782052, ( -1), ( -1), ( -1), 48288764, 1737798, 604536780, 103006888, 274715030, ( -1), 190182433, ( -1), ( -1), 230548168, 954967908, ( -1), 855118835, 667057612, 590311786, ( -1), 821629222, 83125544, 416926080, ( -1), 997139351, 182200133, 668862154, ( -1), ( -1), ( -1), 105027090, ( -1), 484362947, 223129492, ( -1), 307506245, 232426422, 47467067, 705390085, 497858322, ( -1), 308860440, 758553207, 789149872, 73263710, 905067990, 984945463, ( -1), 124284850, ( -1), ( -1), ( -1), ( -1), 203169322, ( -1), 128795686, 879426035, 162528344, 173907787, 957146134, 26050603, ( -1), 352430888, ( -1), ( -1), ( -1), ( -1), ( -1), 33099490, 309518177, ( -1), 204208972, ( -1), 114220185, ( -1), 469521805, 913891375, 795442344, ( -1), ( -1), ( -1), ( -1), 569310493, 219016343, ( -1), 646961894, 507315691, 855010648, ( -1), 655112445, 346819177, 394854980, ( -1), ( -1), 350870616, 196395445, 279752736, 823058852, ( -1), 780552366, 877869684, ( -1), ( -1), 898045509, ( -1), 382105207, 118619197, 281771746, ( -1), ( -1), 520012439, 882753917, 733930643, 193010141, ( -1), ( -1), 922563208, ( -1), 262955930, ( -1), 119246406, 484589407, ( -1), 649565478, 519948153, 843960804, 910551266, 6406786, 477243076, 222456595, ( -1), 377506552, 426603327, 651337638, 108735123, 801011717, 791748546, 46233969, 773673033, 167226179, 379243745, ( -1), 869964627, 441633572, ( -1), 423715325, ( -1), 890489324, 571728091, 834167101, 362205866, 361829807, ( -1), 411673007, 298958798, 368722267, ( -1), 141889199, 891037915, ( -1), 912732134, ( -1), 575217462, 202068597, 728679617, ( -1), 992273205, 642750298, 321308791, 97354942, 5334531, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 311833295, 920215437, 264828367, 589561529, ( -1), 145888245, ( -1), 663287082, ( -1), ( -1), ( -1), ( -1), ( -1), 530950970, 631847423, 860392580, 54830713, 214208511, ( -1), ( -1), 599289215, ( -1), 85206793, 497652817, 746524498, 550889434, ( -1), 556486269, 499620117, ( -1), ( -1), 455161003, 631514616, 97602300, 802830899, 608548907, 944562989, ( -1), 200022332, 867398641, 870686290, ( -1), 249919082, 204071426, 489579709, ( -1), ( -1), 791474196, 884444926, 8889859, ( -1), 340645271, 542611283, 548081261, 95768932, 736624149, ( -1), 151255030, ( -1), 29294142, 258264805, 500430521, 60015233, ( -1), 518594854, 577429491, 731206445, 385053838, 886316305, ( -1), 856893886, 321743555, 769313409, ( -1), 474603125, 95192990, 447769130, 402085400, 60471742, 211989360, 789127949, 938623228, 835069972, 297183359, 35357143, 687621789, 529984629, 600072276, ( -1), 506121248, ( -1), ( -1), ( -1), 986910163, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 22933876, 340043676, 564309875, 624495839, 366371069, 805426483, 757785001, 554129203, 847941598, 189331623, ( -1), 562147469, 218136735, ( -1), 669276278, 466922767, 372035238, 448180220, ( -1), 767501589, 175879071, 667760081, ( -1), ( -1), 819963969, ( -1), 407762027, 96445376, 397123289, ( -1), 659691537, ( -1), 806078817, 514718651, ( -1), 203448874, 650152560, 243425200, 234796699, ( -1), 253475437, 226790918, 519202965, ( -1), ( -1), 525702790, 810648939, 229298522, 872176857, 785788241, 211526819, ( -1), 655771150, ( -1), 103292567, 262566659, 859111637, 474037977, ( -1), ( -1), 823731746, 774446946, 399843643, 67672466, 590209590, 909730093, 86923633, 427422139, ( -1), 792616803, 81396515, 931242188, ( -1), 306449080, 796090694, ( -1), 781584486, ( -1), ( -1), 159975221, 265088465, 395142200, 749721342, 306280697, 249621902, 580758617, 170060131, ( -1), ( -1), 287769155, ( -1), 250515660, 654205268, 367765493, ( -1), ( -1), 548681104, ( -1), 192464776, ( -1), 9169474, 224405965, 440079855, 793824888, 911222993, 539939386, ( -1), 528338335, 225690293, 808302093, 956651697, 941250358, ( -1), 49017570, ( -1), 22391533, 8792096, 92144787, ( -1), 184020994, ( -1), 128864030, 962927604, ( -1), 984134866, ( -1), 391491859, ( -1), ( -1), ( -1), 618492990, 433931320, 476697951, 764622066, 535084833, 40687781, 227184252, 876082154, 388797593, 248983094, 216938228, 62158732, 31505331, 379839633, ( -1), 609308685, ( -1), ( -1), ( -1), ( -1), 410647017, 36821603, 76757177, 252179835, ( -1), 791073172, 367449680, 193473810, 3641384, 491384065, 23463423, 542915759, 493127925, 895420101, 586470827, 69319671, ( -1), ( -1), ( -1), ( -1), 303732087, 190572322, 833768699, 220582241, 513120726, 756531941, 474065900, ( -1), ( -1), 144933993, ( -1), ( -1), 776451065, 495365243, 952383931, 393168677, 632524119, ( -1), 372915407, 299834841, 9574325, 592452785, 457342968, 739519370, ( -1), 811782511, 768990264, 157754805, 257047768, 459798800, ( -1), 123475305, 505105326, ( -1), 764638661, 927552504, ( -1), ( -1), ( -1), 48301838, 479895992, ( -1), 351333747, 103536467, 830784127, ( -1), ( -1), 390440106, 126680001, 734662313, 500868592, 997876832, 543531877, 421678469, 812890772, 851905279, 570675652, 751953587, ( -1), 493280708, ( -1), ( -1), 651464699, ( -1), ( -1), ( -1), ( -1), 277209788, 370946871, 123703155, ( -1), 418025568, 509070940, 242897973, 143644455, ( -1), ( -1), 863601672, 257234088, ( -1), 472875010, 846558792, 623684863, ( -1), 364039479, 494521395, 595017875, 853624305, 563263905, 113110298, 59006105, 68986444, 320433941, 90864165, 566647849, 229187392, 351230105, ( -1), ( -1), 796521238, 654156813, ( -1), 14079183, 317833223, 665911605, 135889114, 780099841, 573351636, ( -1), ( -1), ( -1), ( -1), 952713764, ( -1), ( -1), 237484509, 629502566, ( -1), 837589929, 770886566, ( -1), 260633055, 595332335, 771577689, ( -1), 141040835, 516269058, 204413750, 315959996, 874303606, 426387762, ( -1), 573060032, 556876970, 209140281, 875150724, ( -1), 813170874, ( -1), ( -1), ( -1), 452420969, ( -1), 84873925, ( -1), 675341781, ( -1), 840829093, 224220763, 440322094, 856212471, 708733319, ( -1), ( -1), 501284019, 790250773, 854807880, ( -1), 206350220, 562882279, ( -1), 643259869, 874556332, 439299339, 844120877, 694279073, 635059537, 798019581, 236096730, 977938637, ( -1), 480108165, 30910731, 113172330, ( -1), 434453957, ( -1), ( -1), 687228685, 925796128, 599577621, 371003071, ( -1), 38372873, 562787846, 264237509, 713936207, 324735229, 368733023, 614349024, ( -1), 732735649, 101660537, ( -1), 56762936, 584538402, 413253134, 181883793, 378710856, 28899029, 923620134, 678673106, 939531207, ( -1), ( -1), 722865324, ( -1), 922134992, 91475214, 804039820, 791412967, 554490703, 234960147, 583972680, ( -1), ( -1), 942355912, 93157539, 636150028, 269081421, 985987341, 751210737, ( -1), 410855899, 218607043, ( -1), 424867093, 792173153, ( -1), 696708334, 701502183, 893804035, 320994005, 419167287, 726704578, 889259775, 421028764, 484254357, ( -1), 519133004, ( -1), 49743750, 617160130, 600117648, 444218466, 468427367, 710623133, ( -1), ( -1), 676280092, 174835941, 266630162, 392451113, 459246656, 833789756, 934773009, 306306809, 784209276, 625310722, 308406020, ( -1), 972923478, 67600807, ( -1), ( -1), ( -1), 492828695, ( -1), ( -1), ( -1), 216636094, ( -1), ( -1), ( -1), 815202692, 175832341, ( -1), 103644639, ( -1), 919623248, 819338241, ( -1), 154651590, 192247914, 501188593, 28350149, 794188748, ( -1), 690883129, ( -1), ( -1), 749399306, 694254125, 602942749, 395793588, ( -1), 78558380, ( -1), 682085908, ( -1), ( -1), 450437827, 125139580, ( -1), 91973481, 253624983, ( -1), 441137340, 286267929, 861555821, 910786894, ( -1), 386521532, 243265748, 382719361, ( -1), 892465534, 490678645, ( -1), 666563017, 254625048, 359786390, ( -1), ( -1), 455714073, 59545411, 224552724, ( -1), 212999720, 974290600, 361538676, ( -1), 404865540, 875767462, 714915817, 737469074, 402595748, ( -1), 716751204, 469693712, ( -1), ( -1), 744918138, ( -1), 109626463, 338238330, ( -1), 890476978, 584192260, 220788294, 691042449, 838598739, 697309499, 601294465, ( -1), 683050992, 92623478, ( -1), 313462685, 764168462, ( -1), 375869910, ( -1), ( -1), 990442925, ( -1), 206778574, 433696782, 195837959, 151165069, 688903110, 558826519, 480423939, ( -1), 86400373, 119019518, 901230002, 89821600, 741625406, 402869108, 929393407, ( -1), 763567988, 938558520, ( -1), 779111780, 219967458, 688484957, 245423844, 608062140, 456899735, 258125972, 37018660, 99138569, 680780803, 392144180, 783388725, 57212875, 677976708, 386374760, 864849840, 697572700, ( -1), 372723389, ( -1), ( -1), 566327422, 398867561, ( -1), 860063504, ( -1), 542813395, 195570642, 17742759, 450716041, 516182043, 640994801, ( -1), ( -1), 655009713, ( -1), 382194194, 405197576, 241100353, 292703797, 984084446, 753306447, ( -1), ( -1), 185948478, 903846768, ( -1), ( -1), 389525144, ( -1), ( -1), ( -1), 118972780, ( -1), 148354325, 340741327, 241101918, 176507800, 762030079, 83133115, ( -1), 301196537, 4796896, 255328516, ( -1), 990108565, ( -1), ( -1), ( -1), 207006935, 208323783, 201037652, 289723760, ( -1), 239392513, 664972692, 864743200, 82489308, ( -1), 937791338, 783213679, 716833977, 991900354, 828151840, 820226576, 686731678, 975665745, 974560498, ( -1), 45926434, ( -1), 629900920, ( -1), ( -1), 451504294, 719928990, 792842866, 559898816, 295515683, 35400809, ( -1), 847297143, 294122128, 661552114, ( -1), 871608009, ( -1), ( -1), 640082635, 758443875, ( -1), 733612593, 14177015, 403302114, 913747846, ( -1), 770140498, ( -1), 688002289, ( -1), ( -1), ( -1), ( -1), ( -1), 946842803, 116559715, ( -1), ( -1), 823157659, 833994091, ( -1), 891151993, 903519919, 998468242, 378114112, 767969821, 403637434, 219106292, 355538323, ( -1), ( -1), 565002037, ( -1), 518117515, ( -1), 859912631, 734012911, ( -1), 154206110, 758555266, 96497578, 489467144, ( -1), 349431567, ( -1), 593208521, ( -1), 966716587, ( -1), 285305766, ( -1), 157659107, ( -1), ( -1), 512322551, ( -1), 189913267, 554907225, 549097694, 70150541, 194311602, 349030742, 890004892, ( -1), 393608736, ( -1), 156570026, 759336740, ( -1), 679547609, 613360864, ( -1), ( -1), ( -1), ( -1), 306588959, ( -1), ( -1), ( -1), 687961619, 661744478, ( -1), 946999538, 206740909, 291342961, ( -1), 973249321, 387392986, 697770129, 970981200, ( -1), ( -1), 483401027, 448385023, 42166248, 252905145, ( -1), 219464911, 966787664, 603335458, ( -1), 479153284, ( -1), ( -1), ( -1), 480552592, ( -1), 356790161, 778062884, 649918931, 213558941, ( -1), 49688204, 781501575, 208313272, 446518940, ( -1), ( -1), ( -1), 223538475, 937905856, 506563489, ( -1), 266043762, 995949594, 528201712, 381312790, 383803774, 535484282, 76853503, 989615996, ( -1), 934714809, ( -1), 969813766, 689545237, 977896084, 733675493, 462041194, ( -1), ( -1), 228234279, ( -1), 104401534, 671549755, ( -1), 55017900, 660492729, ( -1), 355590056, ( -1), 669675242, 322461961, ( -1), 898596718, 516667081, 58132852, ( -1), 885961113, 269270498, 644870562, 285986564, 742415045, 458850510, 311087321, 412992469, 715662461, 329891768, 522618969, ( -1), 846885286, ( -1), 593415669, 23485597, 779277733, ( -1), 894021501, ( -1), 794155468, 471392609, ( -1), 878876086, ( -1), 687276788, 150589961, 563534922, ( -1), 615302917, 316238459, 905345267, 127952858, 953432395, ( -1), ( -1), 311217610, 31487037, 664590028, 159863305, 82939049, ( -1), ( -1), 51403518, 343548002, 210765514, 487463755, 286890512, ( -1), 874606826, 239063452, 482844075, ( -1), 736900120, 649890721, 834396916, 170499556, ( -1), 423787338, 759489878, ( -1), ( -1), ( -1), 39178853, 975996906, 247942039, ( -1), ( -1), ( -1), 767757654, ( -1), ( -1), 27836189, 281024201, 738543347, 233369123, 146614554, 714904086, 42825648, 955969138, ( -1), 997105685, 19840836, 436930151, ( -1), 318164873, 804077000, ( -1), ( -1), 322804882, 600422360, 441510992, 733261609, ( -1), ( -1), ( -1), ( -1), 327261883, 1405372, 9601807, 246721088, 700742855, ( -1), 582695642, 878227830, 379362986, ( -1), ( -1), ( -1), ( -1), 488268577, 698388915, 388100822, ( -1), ( -1), 596991767, ( -1), 843842442, 260997801, 140990062, 993131654, ( -1), 132606386, 88722709, 241255070, ( -1), 43582790, 31681500, 885366507, 4689316, ( -1), ( -1), ( -1), 519766225, 640636423, 178189366, ( -1), ( -1), ( -1), 729694968, ( -1), 938126524, ( -1), 610462756, 615939433, ( -1), ( -1), 730341142, 492194547, 243666158, 332875672, ( -1), ( -1), 444049679, 457800770, 373934304, 267839514, ( -1), 372028371, 321354460, 320396211, 534500395, 608163386, ( -1), 298116805, 69513851, 222349381, 556479186, 11440940, 553430622, 969537984, 172742698, 576954674, 975870812, ( -1), ( -1), 33512273, 484718274, 943118713, 43485982, ( -1), 739721990, 149038761, 298833828, 647324678, 542269649, 285311436, 420138650, 998854686, 785674463, 398455126, 537537607, 952454187, 720893895, ( -1), 612485239, 964072602, ( -1), 489954691, ( -1), ( -1), 634340837, ( -1), ( -1), 250123225, 472019801, ( -1), ( -1), 511283138, ( -1), 815620944, ( -1), 460592423, 945052191, 820305569, 751167202, 889588017, ( -1), ( -1), 254148507, ( -1), 753410721, 773723550, 610796802, 326378259, 845678000, 378876582, 34562259, ( -1), 863606155, ( -1), 555969144, ( -1), ( -1), ( -1), 924255941, 504119356, 964008418, ( -1), 652598821, ( -1), ( -1), ( -1), ( -1), 504090431, 658162751, ( -1), 31855053, ( -1), 32118831, ( -1), ( -1), 758478088, 110290878, 6236627, 716230752, 358433639, 217723907, 932541808, 328016220, 348000897, 570522337, 724125238, 665736012, 600821731, 731527227, ( -1), 58787185, 42699714, 706698380, ( -1), ( -1), ( -1), 882626503, 279313051, ( -1), 131573537, 916883122, 171612021, ( -1), ( -1), 246089503, 767545470, 185295940, 262337648, 63775732, 136937140, 834631970, 473207788, ( -1), 330616445, 100272542, 412385565, 255998799, ( -1), ( -1), 186578048, 237538033, 738269098, 270163687, 766818784, 98994959, 927722973, ( -1), 840219721, 965168603, 15930894, 294201123, 643514842, 160681071, ( -1), 442691567, ( -1), 958872539, ( -1), ( -1), 363639368, 767421047, ( -1), 202715844, 488565059, ( -1), 298742374, 554435089, 999830443, ( -1), 418758745, 551214922, ( -1), ( -1), 84100851, 746584458, 529304001, 700389155, ( -1), 82411755, 384247762, 682158596, 56302731, 683101781, 589143312, ( -1), 202706669, 542637659, ( -1), 44915995, 763362092, 429964446, ( -1), 516956492, 764277473, 805217952, 975190704, 318226417, 521101389, 650436039, ( -1), 708038353, ( -1), 185484167, ( -1), 374193976, ( -1), ( -1), 596154330, 626852190, ( -1), 950238742, 346790901, 599758081, 324563395, 457504955, ( -1), 306514682, ( -1), 805651709, 368590869, 910985688, 848064783, ( -1), 166193130, 987124058, 94835491, 899431841, ( -1), 537478470, ( -1), 329288838, 524944436, 749747818, 90518936, ( -1), 988220731, 494587354, 820771497, ( -1), 698696414, 720438473, ( -1), ( -1), 481043933, 344815780, 72822453, 981048832, 726119764, 992418351, ( -1), 599530788, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 972741836, 944793046, 683575799, ( -1), 49430857, 647419935, ( -1), 883675595, ( -1), 769334224, 733241185, 392751811, 160418922, 791381024, 400309368, 627130554, 32026956, 261364389, 477860694, 510381329, ( -1), ( -1), 382252329, 272150024, ( -1), ( -1), 153639412, 432224804, 812184066, ( -1), 665424442, 745646155, 509792145, 584485299, ( -1), 406653, 557155357, 890505807, ( -1), 224681399, 628893642, 192851705, 203829599, ( -1), 825669841, ( -1), 285820982, 945264091, 968955403, 300625880, 622074052, 156461269, 404983032, ( -1), 148790835, 599858609, 809073940, 564216309, ( -1), ( -1), 205419194, 821663351, 931351502, ( -1), ( -1), 462357204, ( -1), 7131339, 789794501, 129797886, 351471919, 263614219, 89921499, 603422197, ( -1), ( -1), 865787425, 725537731, 913679765, ( -1), 464418125, ( -1), 951603041, 720013398, 290570702, 134002967, ( -1), 179903361, 837557076, 243026945, 979429810, 841797070, 854694037, 200638053, 24144764, 597477708, ( -1), 239098172, 182394624, 466244386, 463827791, 173354652, 931788938, 136857655, ( -1), ( -1), 38058993, ( -1), 712913136, 223403482, 749808235, ( -1), ( -1), ( -1), 171301249, 176520290, 365376943, 212866440, 526876518, 884054488, 864538312, 305550015, 191227982, 511835830, 142416070, 439935561, ( -1), 233177103, ( -1), 352617334, ( -1), 515389385, 642969132, 118070782, 550675374, ( -1), 868411998, ( -1), ( -1), 914201252, ( -1), 103837905, 694531505, ( -1), ( -1), 915399663, 613109442, ( -1), ( -1), 42480788, 78001894, 623575984, ( -1), 689081256, ( -1), 707060638, ( -1), 289059525, 295191339, 824549257, ( -1), 249131205, 289078014, 97968280, ( -1), 690783843, 243908237, ( -1), 781746958, ( -1), 584348588, 281424970, 286892152, 820967167, ( -1), ( -1), 720048875, 659852046, 352581371, 182286977, 801917562, 301487618, ( -1), 962630561, ( -1), ( -1), 158038212, ( -1), 195020211, ( -1), ( -1), 218952977, 248351883, 285577915, ( -1), 718361091, 826695678, 382562302, 782320414, 930465530, 623814758, 196286844, 952591446, 134530814, 672922795, ( -1), ( -1), 230955653, 365153121, 818475171, 745599102, 571304947, 415942581, 7206141, 468378477, 868815399, 394154337, ( -1), 470283322, ( -1), 444432415, 101537132, ( -1), 401150519, ( -1), ( -1), ( -1), 624185021, 365314120, 695592973, ( -1), ( -1), 218798996, 950070858, 651445835, ( -1), ( -1), ( -1), 405619549, ( -1), 139233302, 30381178, 717246813, 983607383, ( -1), 187171367, 205236311, 309137029, 979556649, 886200053, 11871945, 131284997, 663269367, ( -1), ( -1), 801863957, 974166003, 283943557, 274000117, 23634260, ( -1), 354063819, 294207501, 794945685, ( -1), 325442775, 202488858, 258158482, 216103237, 31493803, 926079993, 210373402, ( -1), 642602594, ( -1), 732661813, 557917305, ( -1), 615745828, 897794880, 278392498, ( -1), 697559794, 231963253, 262444699, 678820329, 220101358, 8888924, 431641679, ( -1), 628835452, ( -1), 657590985, 517612300, 574169391, 260918851, ( -1), 246631129, ( -1), 520462938, 676866503, 499193536, ( -1), 263441104, 618523347, 892767922, 443449824, 737458933, ( -1), 634084418, 911774122, 873362218, 8113044, 213913077, 811179739, ( -1), 785036282, 427171395, 678988485, ( -1), 439323714, 964968605, 61613699, 724013090, ( -1), 675926653, 829356360, 207573059, ( -1), 789221299, 527073816, 710553207, 642537211, 87574714, ( -1), 558748384, 884494980, 674300889, 835303330, 508898861, ( -1), 986544770, 621401449, 734608118, 718827609, 834948254, 484841881, 246039396, 928984342, 366804799, 892337525, 485542299, ( -1), 776021030, 630474944, ( -1), ( -1), 203096828, 949743725, ( -1), 707052731, 573769718, ( -1), 402934191, 676593975, ( -1), 97126593, ( -1), 304441574, 819769586, 328337413, 379288375, 861041788, ( -1), 6306653, 817877845, ( -1), 495721906, ( -1), 296763807, ( -1), 217608578, ( -1), ( -1), 695489170, 506195112, 742366025, ( -1), 491983248, ( -1), 61289954, ( -1), 328617377, 285538796, ( -1), ( -1), ( -1), 536714612, ( -1), 796454479, 351613858, 649929807, 196212464, 707523429, 439752184, 985753589, 456191793, 532193012, 833309767, 70649426, ( -1), 160434873, 649945409, 85010566, ( -1), 4644203, 694519766, 835549947, ( -1), 428800203, ( -1), 878676147, 388754818, 584400488, 848358599, 116209930, ( -1), 395860689, 215692480, 872924185, 443933015, 789294539, 234385987, 393299286, 586002553, ( -1), ( -1), 355614140, 518915035, 986924596, ( -1), ( -1), 78607590, ( -1), 684159216, 51144223, 813652077, ( -1), 170650239, 202461703, ( -1), 576298399, 441332623, 764858913, ( -1), 550428953, 949181504, 395902445, 279461058, 877933898, ( -1), 702467316, 671502675, 660127584, 176131440, 652240016, ( -1), 608474865, ( -1), 649078893, 766183212, 704905975, ( -1), 847177138, 24927607, 962757521, 695883385, ( -1), 7643987, 639332808, 307573368, 636038435, ( -1), 170228025, 734715746, 452054431, ( -1), 728463235, ( -1), 39461681, ( -1), 599861656, 623266273, 469897346, ( -1), 640331440, 227697837, 68243753, 300020351, ( -1), 350014618, 464864426, 747540614, 341770482, 774594360, ( -1), ( -1), 628169203, 727711127, 304903637, ( -1), ( -1), ( -1), ( -1), ( -1), 479825243, ( -1), 240219293, 535093063, 718990846, ( -1), 826230218, 518218465, ( -1), ( -1), 426441494, 50539438, ( -1), 746300413, 476232210, 311210886, 767273187, 279558207, 987794181, 701628602, 331224591, 103051613, ( -1), 418362288, 572606314, 457035748, 111475175, ( -1), 841572191, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 982822862, 828007361, 274496643, 61431478, ( -1), 463649197, ( -1), 581692512, 668083831, ( -1), ( -1), 204926359, 464277409, 22245993, 189490162, 18010815, 182547597, ( -1), ( -1), 953762065, 808697681, 92202229, 981306248, 958407216, 389771055, ( -1), 432684817, 498780293, 421642095, ( -1), 123770293, 973132396, 975849833, 590646593, 74574766, 416658760, 684365946, ( -1), ( -1), ( -1), ( -1), 315239801, 315690623, 248229615, ( -1), 745303121, 802439329, ( -1), ( -1), 858163055, ( -1), 232179442, 625273988, 332101375, ( -1), 354594346, ( -1), 592050111, ( -1), ( -1), 526664283, 310780780, ( -1), 127323240, 660527418, ( -1), 95798434, 840304936, 384362455, 195414300, 803777467, 226958052, ( -1), 804915802, 502325466, 317275184, 550459990, 770785611, 629598817, 700293182, 351100312, ( -1), 648369261, 150880451, 390854990, 251395283, 708405484, 492995459, ( -1), 293036657, 540915699, ( -1), 324524899, 287627152, 736947796, 409610311, 906825670, 276494582, 839780235, 502653395, ( -1), 238249154, 94292365, 331380069, ( -1), 343529941, 967683482, 409506785, 877326266, 395346491, 670055832, 629913716, 604386805, ( -1), 388269062, 451151500, ( -1), ( -1), 400996798, 797581620, 892414894, 805595616, 566824911, 182037949, 310603763, 151986406, ( -1), 19487853, 497160286, 523123486, 226078609, ( -1), 935634471, 228692346, 361885627, 516219680, ( -1), 196114722, ( -1), 675757178, 365413450, 594941324, 629470002, ( -1), 185115227, 289878736, ( -1), 234855671, 280025469, 967362732, 183528743, 240294332, 618678950, 604223488, 283353791, 491369178, ( -1), ( -1), ( -1), 758676018, ( -1), 317528788, 545062965, ( -1), ( -1), ( -1), 321571357, ( -1), ( -1), 85145877, 86579104, 812260110, 972642500, 370313006, ( -1), 815371600, 965144826, ( -1), 280448812, 889468250, 280794358, ( -1), 128475648, ( -1), 794073940, 847951710, 329981586, 471765798, 898519019, 984458771, 123461923, 86273724, ( -1), 631598614, 215539075, ( -1), 983555622, ( -1), 463737223, ( -1), 176937654, 281212452, 147292272, 68239907, 705563607, ( -1), 101449998, 245937107, 225810808, 658452552, ( -1), 705851276, 234208260, 966874334, 904522303, 41302408, 580905588, 960618021, ( -1), 734535858, 727325504, 584136560, 444496214, 728505392, 394587441, 248775656, 133377207, 838980944, 427989562, 135009403, 17253795, ( -1), 274047660, 996328632, 40975470, ( -1), 600682748, 179643172, 272020902, 836305373, 34769467, 453446232, 937200889, ( -1), 629810047, ( -1), 268587666, 761431235, 323559682, ( -1), 838791709, 537576432, 985622238, ( -1), 220810936, ( -1), 551049414, ( -1), ( -1), ( -1), 788857966, 242111199, 326832963, ( -1), ( -1), 319169111, 653746375, 484933682, ( -1), ( -1), 116405826, ( -1), 30247965, 782515224, 724625517, ( -1), 457931278, 966972193, 124450434, ( -1), 955854507, ( -1), ( -1), 805128937, 937028436, 512810234, 45501010, 254064422, 177303326, 557767634, 164456959, 775094388, 85402587, 616998556, 55291430, ( -1), 331033713, ( -1), 609285009, 67632114, 889552307, 130690877, ( -1), 916724582, 489477618, ( -1), ( -1), 60986940, 251255243, 760283034, 842605221, 223482561, 435663246, ( -1), 117799919, 584344930, 755198090, 480296506, 509410912, 600436748, 442988742, ( -1), 463662450, 400055804, 886802661, 461051013, 851498896, 795676524, 402459451, 419311940, ( -1), 41018084, 533140539, 754315646, ( -1), ( -1), 512235930, 671416075, 353962233, 529031969, 229789227, 145356933, ( -1), ( -1), ( -1), 275394670, 802896169, ( -1), 476545449, 507223113, ( -1), 310428117, 700292315, 774804737, 526026905, 426695538, 783944708, 589274445, 985748593, 517750724, 679975077, 620665641, 950255617, 607295806, 968701515, ( -1), 595918564, 5401567, 992322116, ( -1), 302893579, 516179471, ( -1), 877669594, 863784119, ( -1), 848420524, ( -1), 49529443, 458737764, ( -1), 678406940, 571866223, 267333493, 403912092, 362209704, 897630830, 301044666, 754436637, ( -1), 562072156, 402086359, 757010338, 13047278, ( -1), 978547740, 265847727, ( -1), 647493397, 823885779, 838539714, 469604397, ( -1), 890955608, 286851812, 522336919, 683445481, 136751372, 598283271, 351819424, ( -1), ( -1), ( -1), 260909089, ( -1), ( -1), ( -1), 96444503, ( -1), 625648238, 804832856, 863761602, 373137727, 556878534, 318834836, ( -1), 462661268, 64555565, 605987254, 315501691, 990324586, ( -1), 832221103, 231997607, 763621021, 294594012, 255540922, 222337077, 835782989, 400255692, ( -1), 211460553, ( -1), ( -1), 37875962, 405071521, 622534176, 847648413, 582215396, 431840733, 727902073, ( -1), 884638406, 424623099, ( -1), 35037379, 549635097, 745832956, ( -1), 446060410, 559502163, 246041905, ( -1), 760726012, 625270305, 160374082, 88707447, ( -1), 12359900, 560103089, ( -1), 831056724, 335003310, ( -1), 290971534, 132247143, 445216487, 681678034, ( -1), 629590183, ( -1), 315384748, 584744606, 233483809, ( -1), 631186416, 525819424, ( -1), 338123007, 422607232, 647308072, 107862131, 568592272, ( -1), 435670487, 85684439, 17636065, 230129410, 761189977, 814068923, 539449863, ( -1), 305231496, 44960580, ( -1), 177521099, ( -1), 343823009, ( -1), 697641800, 381568040, ( -1), 109414415, ( -1), 111289037, 835969940, 427987401, 458289117, ( -1), 983875465, 418792421, ( -1), 538389850, 808194010, 665926517, ( -1), 803168091, ( -1), 794877592, ( -1), 9064553, 367031241, 347159819, ( -1), 65149570, 825246539, 486951087, 310401406, ( -1), ( -1), ( -1), 348536379, 128981552, 906827001, 51901892, ( -1), 662342316, 70493553, 101963142, ( -1), 981788080, ( -1), ( -1), 405104367, ( -1), ( -1), 613032423, 721517015, ( -1), 214746683, ( -1), 160834846, ( -1), 533104761, ( -1), 721483204, 879962525, 774106514, 28332962, 507214979, ( -1), 312002710, 897084772, 62140091, ( -1), 360429841, ( -1), 746281329, ( -1), 113844009, ( -1), 852066418, 650600079, 780805430, 818163629, ( -1), 583064354, ( -1), 49341323, ( -1), 217236410, 988144571, 213206908, 907192753, 760576957, ( -1), 90871304, 533904506, ( -1), 124941537, ( -1), 902329272, ( -1), 268766802, 82111211, 71387220, 712901962, 602626718, ( -1), 647794393, 694695079, 299235994, 533493944, 227135911, ( -1), 913334514, 980594817, ( -1), 146430781, ( -1), ( -1), 957862856, 61683924, ( -1), 7028197, 287179348, 149675775, 431887651, 677728704, 358702238, 209185103, 779339727, 338070852, 466167453, 38748579, 592838380, ( -1), 366950612, 674941388, 950574765, ( -1), 787192748, 38143979, 41007823, ( -1), 981936660, 871647898, 264870592, 84962698, 388101446, ( -1), 819132598, 973020964, ( -1), 143616147, 213604011, 668958875, ( -1), 712120673, 378062953, ( -1), 652397889, ( -1), 414634885, ( -1), 647632864, 471212710, ( -1), 945628344, 716959536, 377973270, 69570299, 647152256, 313350659, 849940432, 390153808, ( -1), 66063569, 934732012, 835009534, 116951212, 78225681, ( -1), 55187873, 719106234, ( -1), ( -1), 416168978, ( -1), ( -1), 531800402, 210166714, ( -1), 322326506, ( -1), 396068810, 169759209, 293570971, 321568114, 143018700, 720074672, ( -1), 226835302, ( -1), 963448085, 900212560, 776276583, 236431205, ( -1), 23211550, ( -1), 571999398, 395654569, 526781852, 466784300, 24326759, 586597965, ( -1), 528231660, 122431718, 384039399, ( -1), 338818808, 115820794, ( -1), 220716945, 515841451, 115111323, 920474717, ( -1), 424077963, 693379024, ( -1), 524007838, ( -1), 832690326, 671935596, ( -1), ( -1), 163799465, 305715709, 473778584, 197572146, 932262443, 827137873, 835825821, 107168463, ( -1), ( -1), 814710095, 109915102, ( -1), 17837122, 93251632, 302725011, ( -1), ( -1), 657269358, ( -1), 220542477, 867239842, 928278444, 498617461, ( -1), ( -1), 241729289, ( -1), 50489200, ( -1), 853706017, 482959322, 938591239, ( -1), ( -1), 343271690, ( -1), ( -1), 64427954, 192317801, ( -1), 274763421, ( -1), 359433321, 302865210, 144823879, 639296005, 473348376, 731323966, ( -1), 485480790, 788468318, 659349983, 750301561, 349704728, 610407017, 610961893, ( -1), 613918029, 561872878, ( -1), 972921532, ( -1), 132949805, ( -1), 368771800, 292719685, ( -1), 451739770, 455294770, 718372741, 935778304, 947922665, 371087222, ( -1), ( -1), ( -1), ( -1), ( -1), 302905995, ( -1), 644635735, 596701487, 647870756, 736205992, 248227912, ( -1), 290215555, 936930591, 450455458, 161241642, ( -1), 723041390, 305062778, 342489583, 531649344, 698418412, ( -1), 210486796, ( -1), 457986401, 756928735, ( -1), ( -1), ( -1), 501762778, 688094938, 108486641, ( -1), 611334917, 951104551, 855445625, 296314662, 240846836, 120140200, 21932799, ( -1), 293822014, 469097115, ( -1), 757917785, 393889921, 807255001, ( -1), ( -1), 738343602, ( -1), 966406633, 178428367, ( -1), ( -1), 221067037, 324405560, 649714931, ( -1), 137639817, 947250056, 214036928, 261586107, 331636239, ( -1), 176556363, 655454146, 271442168, 141477947, 779650175, ( -1), ( -1), ( -1), ( -1), 668820050, 153014544, ( -1), 619441652, 24528776, ( -1), 553500092, 158941118, ( -1), 17430119, 640152520, 358720611, ( -1), 73878160, 990410311, ( -1), ( -1), 824083508, 970065117, 706442009, 74494862, 899554140, 291246543, 134813365, ( -1), 780656805, 770242217, 32852855, 832429177, 474041379, ( -1), 271292636, 872260202, 132938167, ( -1), ( -1), ( -1), 771481029, 479607101, 914550551, 106655239, 221934251, 679669553, ( -1), ( -1), ( -1), ( -1), ( -1), 934601700, 870184251, 149963426, ( -1), 717609403, 675575206, 553210736, ( -1), 71377925, 684346749, ( -1), 439177917, 952786075, 315979102, 901685934, 417867318, 669523293, ( -1), 612395826, 73289217, ( -1), 592470958, ( -1), 708518057, 359403880, 487512039, 532729073, 369414185, 155492060, 599651216, 182887034, 432220446, 326602776, 949922425, 942499643, ( -1), ( -1), 915086209, ( -1), 137148402, ( -1), 253738728, 288692884, ( -1), 896237408, 861819665, 818969635, 302783159, ( -1), ( -1), 492416584, 919883665, 793763276, 284091027, 492154440, 225421498, 250194083, 503238509, ( -1), 391317477, 43887881, 35488252, 974637278, 943502114, 74251707, 565583899, 237617622, ( -1), 286283643, 531461011, ( -1), 525906044, 168676028, ( -1), ( -1), 983393625, 658695448, 518238120, 309767838, 481217047, ( -1), 605077875, 819521104, ( -1), 469337099, 230134651, ( -1), ( -1), 892963686, ( -1), ( -1), 121039969, ( -1), 407949375, 142104470, 249357479, 444216813, ( -1), 592654915, 794583325, ( -1), 590875128, ( -1), ( -1), ( -1), 649699580, ( -1), 104796078, 830811812, ( -1), ( -1), 902825828, 992085005, ( -1), 123122900, 201709906, 172358121, 89780866, 736278359, 719687975, 26965823, 924830508, ( -1), 280739121, 164940466, 60453710, ( -1), 464280859, ( -1), ( -1), 921801758, 962100868, ( -1), ( -1), ( -1), 941558574, 784288478, 790296255, ( -1), 77475405, 147521587, 281639134, ( -1), 699464225, 799009540, 907163437, 568510153, ( -1), 988718186, 596954620, ( -1), 586367149, 460321019, 593874789, 327025952, ( -1), 183812009, 610428430, 33384260, ( -1), 469424493, 776798896, 517706636, 706048335, 750724421, ( -1), 482551671, 863201861, 547771721, 498976993, 724847514, 551380167, ( -1), 985341757, 551443205, 341957746, ( -1), 832969700, 374123098, 992354336, 21672193, ( -1), 755806307, 320997751, 179457153, 10836344, ( -1), 860041942, 533845162, ( -1), 48433794, 535594909, ( -1), ( -1), 177230203, 85660167, ( -1), 848325860, 881418237, 497052614, 933000846, ( -1), ( -1), 460668567, 113418572, 861222688, ( -1), 178839044, 526744243, 687995037, 177795005, ( -1), 924650495, 392775611, ( -1), 579733739, 286158423, ( -1), 998407930, 546742037, 881154536, 571301543, 874427099, 994492136, ( -1), 681899443, 355005656, 830468606, 967972356, 97350967, 961971412, 93233426, 925699689, 230077488, 584910204, 574661221, 792110813, 535604515, 108569500, 173498637, 297519153, 2940313, ( -1), 612726872, 985395621, 504173751, 515996230, 455893767, ( -1), 189937986, ( -1), ( -1), 660564740, 221991468, 629190781, 362567715, 496512548, 867619599, 25313855, 719692574, 948220502, 361031209, 431102788, 771559185, 118681604, 100793770, 806520585, 982760260, 797383160, 260469094, ( -1), ( -1), 360814299, 850237126, 673760273, 753800584, 691150151, ( -1), 280391273, 607972764, ( -1), 227254750, 940657491, 481904670, ( -1), 66385916, 586094376, ( -1), 119550940, 505371776, 145045574, 849751161, 170002549, 581849898, 482427889, 826631319, 457268056, 9975408, ( -1), 304767542, ( -1), 862758297, ( -1), 598040145, 496389675, 635062891, 365179642, 475247481, 760454362, ( -1), 41615163, 280231240, 430253409, 22162863, 589922340, 152049180, 315619585, ( -1), 733140531, 557611647, ( -1), 749376807, 50251261, ( -1), 565732734, 419070345, ( -1), 129893477, ( -1), ( -1), ( -1), 544318139, ( -1), 325478250, 106080422, 405833062, 193724731, 372425513, 297505560, 386563692, 902215872, 149064198, 212074323, 981146356, ( -1), 289044699, 414181433, 180716274, 186121446, 77524239, 550809931, 362736699, 78727526, ( -1), 417547385, 374454967, 697628282, 946446747, ( -1), ( -1), 351188276, 823180477, ( -1), 238682283, ( -1), 491190051, 879454531, 422603992, 864295495, 493927797, 752913889, 480928059, 22145686, 698458326, ( -1), ( -1), 776991572, 558029870, ( -1), 267787183, 622064514, 118329929, ( -1), 276623892, 478376395, ( -1), ( -1), 398711569, 152547874, ( -1), 492666102, 270537157, 838018323, 655951030, 150208800, 357667071, 332739732, ( -1), ( -1), 60997961, ( -1), 282898760, 240698130, 856051473, 724074213, 574482673, ( -1), 66567680, 57234488, ( -1), 528097238, ( -1), 948587731, ( -1), ( -1), ( -1), 462400394, 406279644, ( -1), 370375194, 621412179, ( -1), 984453415, ( -1), 676051479, 505193413, ( -1), 350468223, 57391352, 947774691, 645534767, ( -1), ( -1), 148733723, ( -1), ( -1), 858874024, 551870229, ( -1), 834115737, 14736331, 681222769, 139330305, 815853040, 858258582, ( -1), ( -1), 800179900, 319574072, 853750443, 224865600, 728349387, ( -1), 738788858, 766950231, 748686733, 684162273, 430084160, ( -1), 840592063, 398290146, 507123052, 898541981, ( -1), 643156059, 930493419, 233025935, 985043918, 831779152, 166644437, 591404754, ( -1), 386060799, ( -1), 55742174, 37601463, 349769757, 290976383, ( -1), 779635012, ( -1), 949855968, 634485818, ( -1), 847298422, ( -1), 950525019, 459920446, 125769792, ( -1), 84257551, 474524327, 579187058, ( -1), ( -1), 296878434, 99032592, 73400832, ( -1), ( -1), ( -1), 554366730, ( -1), ( -1), ( -1), 867601982, 185819758, 670749210, 788875085, 728532682, 846849975, 201385786, 536341968, ( -1), 217487624, ( -1), 385831304, ( -1), 624296239, 686078509, 675526160, ( -1), 604280183, 991087350, 909493518, 760504185, ( -1), ( -1), 350556509, ( -1), ( -1), 119731123, 49828379, 9179698, 591678726, 407972305, ( -1), ( -1), 191763282, ( -1), ( -1), 735826390, 462219728, 415372367, 244276430, 752762322, ( -1), 350629211, ( -1), 686170982, 840172302, ( -1), 387608951, ( -1), 431283660, 410121702, 900305493, 265635359, ( -1), 423518694, ( -1), 713166665, 618799103, 790968872, 821201487, 141731035, 866064253, 182218377, 952998513, ( -1), 789831603, 266060097, ( -1), 869254427, 420838411, ( -1), ( -1), ( -1), 872495402, 49000918, 351395944, 592003184, ( -1), 636253094, ( -1), ( -1), ( -1), ( -1), 690263042, ( -1), 125609853, 9632629, 512544506, ( -1), 271410617, 292212586, ( -1), 357199492, 789145742, 758200955, 845254176, ( -1), ( -1), 69191366, ( -1), ( -1), 556482114, 921373736, 469505761, ( -1), 894221984, 14878866, 516430708, 722125081, 44538418, 8063479, 879201960, ( -1), 342690970, 786410330, 852132671, 139519621, ( -1), 645782454, 175594476, 38535795, 574053400, ( -1), ( -1), ( -1), ( -1), 366554318, 394085090, 279292177, ( -1), 252971832, 595734126, 717046234, 18299865, 159784991, 801228629, 835941323, 670574678, 476915578, 974939927, ( -1), ( -1), 596649152, 238817952, 183325522, ( -1), 2713764, 161606875, ( -1), ( -1), 666621770, 171910796, ( -1), 228967722, ( -1), ( -1), 938328345, 549521611, 69601331, 674669741, 434247986, ( -1), ( -1), 864420585, 929784665, 378284842, ( -1), ( -1), 65340653, 636763621, ( -1), 30512709, 390247798, 124265188, 949735197, 502671997, 738104069, ( -1), 711583385, 673106688, 738674782, 559833690, 215348658, 87604016, ( -1), ( -1), 269049269, 445767776, 378388263, 241520257, 941357796, 143541993, ( -1), ( -1), 537241687, 976592176, 589859837, 625355178, 547954344, 564827357, 728337472, 411179133, 154824792, 164113303, 399198654, 390653117, 760551764, 829414547, 747102986, 260165576, 620416158, 250065381, 539667322, 64777422, 344518290, 97298302, 882284977, 60018059, ( -1), 775274434, ( -1), 250870666, ( -1), ( -1), 688278050, ( -1), 379176705, ( -1), ( -1), ( -1), 718806737, 485899605, 211103153, 713566050, 642665602, ( -1), 303981229, 113451235, ( -1), 674088784, 759526101, 505023360, ( -1), ( -1), ( -1), ( -1), 473265228, 775054839, 973732446, ( -1), ( -1), 768642701, 290156763, 203785941, 319492643, ( -1), 458981429, 158564274, ( -1), 600067657, ( -1), 944604304, ( -1), 621310617, ( -1), ( -1), 541038785, 348550368, 788492521, 261394403, 219334806, 105442800, 91821932, ( -1), 348689209, 363036437, 553705680, 658942068, 147482869, 852191686, ( -1), 89822037, 786069720, ( -1), 460140717, 526882369, 952912186, ( -1), 127574349, 340620851, ( -1), 699798575, ( -1), ( -1), 331111456, 419228582, 267336541, 721328891, 949493931, 346251408, 916040800, ( -1), 492990621, ( -1), 414805251, 466025396, ( -1), 844034672, 647190031, 134297604, 775279556, ( -1), 399609390, ( -1), 629957208, 337596496, 340876129, ( -1), ( -1), 993526926, 483855338, 159075286, 391082205, 672987702, 868741849, ( -1), 266300537, 1782594, ( -1), 725069607, ( -1), ( -1), 378667622, ( -1), 569809348, 969534252, 140277049, ( -1), 619479924, 966374294, 795757124, ( -1), 306925853, 374446805, 17779233, 428282001, ( -1), 895692146, 251484736, 215350437, ( -1), ( -1), ( -1), ( -1), 180621486, ( -1), 826804300, 781084666, 72634154, 932690545, 530925739, ( -1), ( -1), 231781240, ( -1), 148567736, 289349884, 725145308, 517650292, 427833455, 563504876, 706673858, 526985902, 901737364, 21185385, 90271908, 474542658, ( -1), 851485032, 339755001, 843910371, 996468591, 217608780, 526216748, 840896546, 615126157, ( -1), ( -1), ( -1), 314225425, 808828923, ( -1), 945366188, 804500569, 36592857, ( -1), ( -1), 696447430, ( -1), ( -1), ( -1), 742599284, 485886479, 65104311, ( -1), 19374323, ( -1), 563429856, 700845458, ( -1), 181419530, 526027245, 667282761, 473627894, 407394498, 394328276, 233886635, 92847226, ( -1), 624289546, 454403137, 362778479, ( -1), 847675722, ( -1), 42771966, 273873479, 169801327, ( -1), 854481067, ( -1), ( -1), ( -1), ( -1), 78606208, ( -1), ( -1), 254814280, ( -1), ( -1), ( -1), ( -1), 760360468, 454864803, 470914369, 647150470, ( -1), 215033875, ( -1), 970987748, 431738692, 374510792, 659482484, 573159402, ( -1), 117231611, 861574110, 443664456, 994436606, 537226353, ( -1), 595656408, 42920443, 813822974, ( -1), 510640869, ( -1), ( -1), 120381530, ( -1), ( -1), 732186438, ( -1), ( -1), 907679449, 40206908, 50667013, 139574944, 265140165, ( -1), 646800288, 64921400, 863932628, 686843642, ( -1), ( -1), 736567108, 314316161, ( -1), 129325029, 683450350, ( -1), 547390798, 501395618, 633639047, 121295078, ( -1), 299536059, ( -1), 164350249, 411961602, ( -1), 182553195, 693732788, ( -1), 89350853, 410932043, ( -1), ( -1), 253124514, 847014609, 346815576, 572335477, ( -1), 223568487, 161670645, 283908681, ( -1), 73435025, ( -1), 736919285, 980564221, 562376175, 467011998, 616323638, 438338431, 338256148, ( -1), 672230682, 17134053, 65196609, ( -1), 973633278, 416905163, 590634477, 528933173, ( -1), ( -1), ( -1), ( -1), 350976331, 909106304, ( -1), 998864653, 869707165, ( -1), 433528503, 323578241, 436152501, 164867380, ( -1), 698768704, 934861967, 600820282, ( -1), 990955047, 780487967, 605430559, 757026269, 421550481, 347225316, 162612897, 718767693, ( -1), 89040345, 893883964, 188006388, 813227867, 794230045, 521426573, 784216080, 542295804, 558368005, 171696720, 372450903, ( -1), 880226053, ( -1), 336735893, 660432413, 181604037, 493184941, ( -1), ( -1), 36133377, 688075965, 285757374, 970170763, 58470121, 368997218, 459341926, 447741146, ( -1), 419185784, 654530937, 232385366, 205376562, 375624818, 957351447, 175866314, 535830476, ( -1), 364462235, 948414926, 463553438, ( -1), ( -1), 833446211, 224111968, 86557072, ( -1), ( -1), 580690313, ( -1), 344631847, ( -1), 715808833, 61206202, 816092059, 899678202, ( -1), ( -1), ( -1), 506613461, 794764452, ( -1), 485160316, 723211587, 687430623, ( -1), 279931920, ( -1), 910110399, ( -1), 112160888, 376062416, 528633966, 83902044, 36881900, 702065854, 579259187, ( -1), ( -1), 903803378, 865777666, ( -1), ( -1), ( -1), 550830768, ( -1), 900542956, 489236961, 415133890, ( -1), ( -1), ( -1), 490136567, ( -1), 253385982, 910126578, 633287127, 952814392, 452656314, 158531529, 101370659, ( -1), 890986353, ( -1), 641889377, 683069732, 176494820, 768740367, 34959418, ( -1), ( -1), 450675023, 187179392, 258017563, 956584179, 274292130, ( -1), 385331194, ( -1), ( -1), 835161005, ( -1), ( -1), 217612010, 28891317, ( -1), 563610845, 611568230, 237091876, 289397801, ( -1), ( -1), 739129923, 557051009, 3118147, 643088845, 738876822, ( -1), 822979183, ( -1), 190188368, ( -1), 352119517, 18141975, 118540437, 303013099, 647637362, 363679860, 768282996, 671170401, 751791891, 676372698, 143816996, 941033256, ( -1), 133193216, ( -1), 114311518, 396551121, 467565884, 964127206, ( -1), 458745149, 33791250, 152501712, 408095287, ( -1), ( -1), 586445897, 19992230, 340221474, 95365, ( -1), 366925824, ( -1), ( -1), 323321885, ( -1), 146373259, 855782698, 276848072, 480238398, 193471902, 5716601, 129114408, ( -1), 891498198, 364041071, 498406008, 621299190, ( -1), 445175732, 842380791, 334133124, ( -1), 131713919, 845257620, 866844661, ( -1), 339056643, ( -1), ( -1), ( -1), ( -1), ( -1), 788252403, 833753334, ( -1), 979593501, ( -1), ( -1), 848672168, ( -1), ( -1), 129149175, 249162847, ( -1), 250484143, 103730820, ( -1), ( -1), ( -1), 531217062, 786815155, 769723233, ( -1), ( -1), 654325460, 136721294, 367347430, ( -1), 633335696, 343320744, ( -1), ( -1), ( -1), 65340539, 861016639, 828859606, 569813328, 705191344, ( -1), 787551401, 152617495, 851744270, 862116529, ( -1), 470865678, 563612635, ( -1), 328551147, ( -1), ( -1), 602967812, 785899863, ( -1), 818124654, ( -1), 489699045, 216374950, ( -1), 791454435, 864029040, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 159862293, 514519418, 90498196, 989908272, 345020633, ( -1), 493655785, 442994053, 418087212, 214571897, 844883794, 552737436, ( -1), 444072740, 882717564, ( -1), 98593999, 109981793, ( -1), 932507410, 665849035, 755824, 308581364, 791132324, ( -1), 291054959, 280277128, 287746016, 957302512, 192722557, 789577163, 885374559, 231716424, 702310504, 855160109, ( -1), ( -1), 956190607, 641290284, 974805545, 234742809, ( -1), 711320695, 28111530, 621138259, 17163725, ( -1), 698880241, 802608932, 382607786, 193265425, ( -1), ( -1), 529587857, 938634039, ( -1), 191630298, 498505353, 200594689, 569828458, ( -1), 971715332, 900263945, ( -1), ( -1), 578889238, ( -1), 65715090, 749461643, 375636337, 627160240, 846230715, 696327656, 105755288, 204447567, ( -1), 999720592, 187593811, 344159456, ( -1), 505417688, ( -1), 450814943, ( -1), ( -1), ( -1), 25612357, 607031172, ( -1), 108121401, 573981942, 10236285, ( -1), ( -1), ( -1), 951329325, ( -1), ( -1), 929845916, 774089394, ( -1), 360011258, ( -1), ( -1), 21292830, 293412497, ( -1), ( -1), 360688928, 492530518, 897941273, 288920655, 221487216, 136820259, ( -1), 83174785, ( -1), ( -1), 992363670, 511182474, 196796078, 109277351, 826254431, 360804744, 580780509, ( -1), ( -1), 571640375, 29607695, 739865532, 660331277, ( -1), 850540939, 671567373, 663943128, ( -1), 764717764, 68709568, 43735488, 776061679, 391136455, 814755368, ( -1), ( -1), 564590031, 75814086, 120096435, 260256830, 140901272, 901685787, 230417447, 8890381, 513609845, 688140301, ( -1), 111194747, 465872925, 17231097, 807031012, 454193933, 732642012, 441255059, ( -1), 649605125, ( -1), 120461791, 749074121, 821571947, 658563091, 38291902, 965056062, ( -1), ( -1), 38177214, 658072105, ( -1), ( -1), 338547545, 926019220, 558581784, 652260524, 200073438, ( -1), 696916965, 587926617, 119639282, 376949900, 934439853, 514114930, ( -1), ( -1), ( -1), 103299886, 948870755, 233266047, 253649477, 786672575, 328961088, 742239700, 519789984, 214291961, ( -1), 556534985, ( -1), 753421408, 890021271, 972076010, 166420642, ( -1), 408847573, 451476196, 863797578, ( -1), 476986577, 324451879, ( -1), 24781124, 958411579, ( -1), ( -1), 974812648, 13988070, 809102846, ( -1), ( -1), 167236294, ( -1), ( -1), 238550699, 9908602, ( -1), 280558642, 560063386, 755083668, ( -1), 957773007, ( -1), 614716781, 319222029, 974432377, 989564129, ( -1), ( -1), 923463290, ( -1), 255850146, 222489237, 194502411, 779194931, 947517067, 674479696, 497162338, 262101349, 567884973, 964813803, 534712293, ( -1), ( -1), ( -1), 571936233, ( -1), ( -1), 9173529, 519410248, 39445435, 170194879, ( -1), 264096711, 496194706, 402777082, ( -1), 889957299, 995589682, 315673030, 741282640, 30316888, ( -1), 65508451, 307217817, ( -1), 337124264, ( -1), 221606655, 938504853, 389736327, ( -1), 106282563, 859647431, 2453971, ( -1), 964837263, 570158015, 598355282, ( -1), ( -1), ( -1), 994191260, ( -1), ( -1), ( -1), 835718377, 803957410, 390137559, 629207030, 87594135, 18974092, ( -1), ( -1), 993735403, 441555173, 18655531, 60096217, ( -1), 569702296, 278152033, 142802426, ( -1), 368777876, 382966758, 920612752, 933634627, 180271100, 149537475, 969509548, ( -1), ( -1), ( -1), ( -1), 10002641, ( -1), 851645147, 444868753, ( -1), ( -1), 599357029, 569967276, ( -1), 545179811, 935756922, 827002236, ( -1), ( -1), 48310052, ( -1), ( -1), 593323607, ( -1), 532982413, ( -1), ( -1), 83855944, 224412473, 752880203, 269560378, 556945133, 218561222, ( -1), 209300875, 584012738, 774699851, 379821824, 829925168, ( -1), 804508041, 435753869, ( -1), 278554023, 843911353, 57057512, ( -1), 489175014, 447422378, 814471996, ( -1), 390692002, ( -1), 642246018, 839453168, ( -1), ( -1), 278781213, 85951361, ( -1), 484403358, ( -1), 481870444, 592255229, 39859091, 33853735, 539737351, ( -1), 999808968, 126977048, 785086024, ( -1), 663677381, 505566998, ( -1), 459245910, ( -1), ( -1), ( -1), 217375095, 139447098, ( -1), ( -1), 83041983, ( -1), ( -1), ( -1), 363809294, 620045178, ( -1), 615365901, 293808128, ( -1), 152318811, 878946862, 560798893, 833778689, ( -1), 8147260, 191870234, 311868228, ( -1), ( -1), 999508450, 841491914, 473526755, ( -1), 25411755, ( -1), ( -1), 821294404, 166758161, 474811624, ( -1), ( -1), 137937224, 152773807, 697578888, 196617345, 831852614, 371902208, 948408707, ( -1), 945587761, 677113908, ( -1), 508912778, 702171422, ( -1), 84715156, 541074036, ( -1), 483762141, 62569425, 333129895, 243518731, ( -1), 933416905, ( -1), 319767691, 928059535, ( -1), ( -1), ( -1), 117175083, 32450512, 823571115, ( -1), ( -1), 612646531, 197232407, ( -1), ( -1), ( -1), ( -1), 658732170, 504813832, ( -1), 581841728, ( -1), 269615470, 666645385, 166030274, 847908210, 52477319, 39917608, ( -1), 384063016, 4104995, ( -1), ( -1), 201426079, 150684761, 460415921, ( -1), 103886802, ( -1), 885973346, ( -1), 721824797, 302888153, 36110571, 684755668, 92148825, 801659229, 908847039, 580058516, 483826040, 380124767, ( -1), ( -1), 168027299, ( -1), 644367542, 512242293, 467829304, 633782717, ( -1), 240730532, 131147214, 40876332, 917027660, ( -1), ( -1), 790785524, 190095575, ( -1), 206043985, 25793373, ( -1), ( -1), ( -1), 109634953, ( -1), ( -1), ( -1), 652831304, 734437591, 192651725, 548416622, 361815144, 209487981, 449909005, 458075514, 148694379, ( -1), 132588413, ( -1), 877838671, ( -1), 686255328, ( -1), 189212725, 855509486, ( -1), 718914560, 274306526, 971507755, 900609701, 921188323, ( -1), 6500014, 852985159, 498398996, ( -1), ( -1), ( -1), 205194558, 486962523, 203722046, 764960350, 999633780, 544123794, ( -1), 807363136, 111799665, 696154431, ( -1), 960181358, 801510223, 205880081, 621627971, ( -1), ( -1), 553863216, 148136283, 511882798, 802368478, 68994706, 419940093, 381658898, 821780444, 571297133, 206256215, 130080515, 768059045, 221641386, ( -1), 874762977, 252119022, 130557128, ( -1), 718289703, 512138624, 764170379, 187657926, 221673599, 83242719, ( -1), 799023476, 85079357, 439764185, ( -1), 151767991, 147414757, ( -1), 257670531, 45106647, 867345315, 281685538, 655824098, ( -1), ( -1), 962263884, ( -1), 723418985, 300033715, 764646937, 232810117, 9947061, ( -1), 327666832, 169538118, ( -1), 530832921, 421778718, 650705491, 364777294, 418582154, ( -1), ( -1), ( -1), 45137996, ( -1), 387783166, 255067265, 873374995, 42265496, 759758750, 140197664, ( -1), 253070507, 983082257, 871859986, 675536446, 96826405, 31579530, 750605950, 745912616, 341196292, 448054111, 301696013, 664463336, 995438248, 430646298, 667142081, 304937932, 16322569, ( -1), 219293258, ( -1), ( -1), 208407704, 547087868, ( -1), 725035003, 417078131, 742199013, ( -1), ( -1), 409823514, 534733585, 731390353, 887024477, 598930981, 152868042, ( -1), ( -1), ( -1), 181278012, 279055496, 754713077, 980759184, 433009900, ( -1), 320885173, 869736774, 688191585, 183540144, ( -1), ( -1), 850461213, ( -1), 867395999, 838797284, ( -1), 337499592, ( -1), 648212025, ( -1), 814692692, 977527142, 881035468, ( -1), 675618949, 145096739, 839523436, 466551671, ( -1), 866389635, 852787084, 57122570, 934641278, 544413404, ( -1), 714744033, 802682400, ( -1), ( -1), ( -1), ( -1), 828558721, 958682095, 607808229, 508598442, 626771647, 907380687, 687826943, 895016353, 25636051, ( -1), 854148429, 750828044, ( -1), 832053306, 596222484, 454739799, 626906206, 769052415, ( -1), 293307690, 137964258, ( -1), 571246420, 529988528, ( -1), 342517399, 479335590, 577981802, ( -1), 505252790, 971049914, ( -1), 546339277, 823474206, ( -1), 942004639, 765222929, 187653456, 144344884, 13644597, 974888943, ( -1), 85736521, 603207649, 85003787, ( -1), 939815538, ( -1), 671368480, ( -1), 747777782, 501942584, 172986286, ( -1), ( -1), 102021161, 874074333, ( -1), ( -1), ( -1), 425854497, 641885676, 46190162, 100221829, 56112165, ( -1), 338561059, 569432414, 764764155, ( -1), 717745601, ( -1), 974448543, 21468348, 705668717, 871273520, ( -1), 940076838, 995807406, 497601100, 594811780, ( -1), 502919875, 419041240, 223896665, 288161424, 686899367, 49355787, ( -1), ( -1), 237259298, 208516272, 653206065, ( -1), 809023842, 769914462, 410316527, 926007760, 151950294, ( -1), ( -1), 411429295, ( -1), 960239690, ( -1), ( -1), 293268667, 610517990, ( -1), 708385326, ( -1), ( -1), 503565104, ( -1), 318804495, 818585532, 707894378, 906846032, 648388092, 894623270, ( -1), ( -1), 86239982, 467431031, 327850797, 511648530, 867464381, ( -1), ( -1), 550816477, 801847612, ( -1), 776538503, 937466058, 692923751, 850298975, 205873580, 454785864, ( -1), 242781070, 954948192, 223641390, 787194929, 496897767, 255622679, 641803517, 787335927, 253534823, ( -1), ( -1), 613513747, ( -1), 266899993, ( -1), 650296197, 266556551, 898361232, 643457388, ( -1), ( -1), 993900999, 227238938, 592749397, 169110508, 301371977, ( -1), ( -1), 358429452, 462367281, 855469611, 934635852, ( -1), 530540439, 305114986, 287618799, 418620707, 252543760, 67810807, 989894859, 255887060, 681321328, 550059380, 749743544, ( -1), 217325851, 601457699, 868812366, 494025230, 714042191, 355359921, ( -1), 255178077, 762538345, 659432497, 850253934, 120699187, 265420542, 508320045, ( -1), 792988854, 130661332, 395822387, 799700242, 469827985, 185492180, 455025901, 373295053, ( -1), ( -1), 710907097, 78914831, 388813624, 192777041, 997767140, 135840734, 867569329, 835239840, ( -1), ( -1), ( -1), 924044362, 428092754, 196406970, ( -1), 455163861, 745006258, 251485120, ( -1), 216019761, ( -1), 718381972, ( -1), 338320871, 95554164, 504895632, 376832759, 948180414, 210045201, ( -1), 795488964, 466480166, 659771595, 813366284, ( -1), 722536688, 255424940, 77214770, 380494615, 472926188, 733704346, ( -1), 912430795, ( -1), 518958486, 693260671, 779721202, 55296351, 133411318, ( -1), ( -1), 728911910, ( -1), 461601908, 857889120, 591598053, 600631116, ( -1), 798911078, 236457857, 139842023, 488278914, ( -1), 535774554, 346993118, 835518825, 427681441, ( -1), ( -1), 41728861, 581188297, ( -1), 3457511, 176475711, 974336231, 213905968, ( -1), ( -1), 728333381, 920609975, ( -1), 223110161, 967602306, 410838852, 69296729, 37071344, 346368199, 64421188, ( -1), 649613661, 711232113, 353515878, ( -1), 668033258, ( -1), ( -1), ( -1), 87893879, 969563467, 480648038, 798144657, ( -1), ( -1), 264761415, 110853375, ( -1), 619285252, 646150914, ( -1), 530448147, 755488528, 175873109, 864686941, ( -1), 580739678, 817195098, 750003529, ( -1), 266578800, ( -1), 220983048, 854138664, 296861778, 12674673, ( -1), 722403912, 652570277, 685449730, 145458443, 366389641, 645060995, 690134321, ( -1), 277850960, 332814324, ( -1), 416036917, 711842909, ( -1), 974170924, 585321129, 726414895, ( -1), 809556229, 578778137, ( -1), ( -1), ( -1), ( -1), ( -1), 264606900, 341211616, 780589962, ( -1), 175770714, 467100150, ( -1), 579822338, 940403110, 167339777, 70089449, 648406851, ( -1), ( -1), 46911489, ( -1), 101668402, 80008403, ( -1), ( -1), ( -1), 715096228, 300329466, 10443825, ( -1), ( -1), 562768601, 359238207, 912012954, ( -1), 217704778, 836676548, ( -1), 27787502, 735125191, 37830132, ( -1), 348983524, 676697332, 756752562, ( -1), 643981244, 652338013, 941277662, 490360037, 46113635, 656483608, 419032569, 466043147, 5204107, 694209521, ( -1), ( -1), 719379941, 324240272, 470056832, ( -1), 623283552, ( -1), ( -1), 15735121, 892358115, 624826358, 652546111, 647821769, 491261131, 286289936, ( -1), 462696365, ( -1), 713132709, 540265106, 890205681, 947114501, 551811903, 456477179, 570100671, ( -1), 16184078, 137670953, ( -1), 768225368, ( -1), 257037825, 11799883, ( -1), 431422838, 419411429, 696229392, ( -1), 7269214, 325319252, 619780389, ( -1), 935126713, 922648644, ( -1), 915517253, ( -1), ( -1), 377140099, 177916971, ( -1), 985165296, 979786038, ( -1), 732504917, 815033346, 700523281, 613240865, ( -1), ( -1), 363317266, 161815244, 936518686, 334021890, 849714411, 627614001, ( -1), 170525155, 509092938, 191367801, 394106927, 62316895, ( -1), 313670735, 583623901, ( -1), 254192848, ( -1), ( -1), 335963167, ( -1), 817098016, 591646183, 561348866, 915738257, ( -1), 213423941, 306980722, 731894206, 975189858, 145373477, 214952319, ( -1), 53458618, 243836628, ( -1), 340447195, 311497331, 441250282, 823869444, ( -1), 492909322, 361636463, 360926649, 126821061, 825496581, 690334152, 544151298, ( -1), 865978086, 709824319, 488685624, 550946436, 372099443, ( -1), ( -1), 257858391, 370783436, ( -1), 365136445, 787845637, 109681191, ( -1), 930528951, 299240437, ( -1), 306820063, ( -1), 766218260, 846796550, 934122688, ( -1), ( -1), 154439360, 824292483, 932894213, 146200477, 261190523, 4028104, 433524335, 576142602, 891669905, ( -1), 288352049, ( -1), 64370358, 120916380, 852894926, ( -1), ( -1), 920487300, 865819067, ( -1), ( -1), ( -1), 198064613, ( -1), 884617077, ( -1), ( -1), ( -1), 527591505, 296699056, ( -1), ( -1), 379538872, 246629319, 43343638, 501547556, 887415084, ( -1), 602211653, 789337465, 64051519, 674099145, 574163687, 276312664, 21077702, 835479805, 232324761, ( -1), 396586017, 629386251, 357160909, ( -1), 874597138, 513813969, 882225480, 615557486, 910610783, 239672256, 563957627, ( -1), ( -1), ( -1), 780456463, ( -1), ( -1), 540846613, 88210420, ( -1), 346212907, 414009916, ( -1), 302929275, 317167765, 208971269, ( -1), 490444004, ( -1), ( -1), ( -1), 470036561, 458847174, ( -1), 874767922, 746946100, 617734344, 870709603, 423434899, 15860146, ( -1), 601080179, 597580321, 545516185, 865416183, 432136756, 336588709, 429854642, 785081550, ( -1), 807260432, 76343541, 661504797, 27470899, 299204120, 7406223, 309454199, 157468060, 260984519, 888322208, 824392454, 212388252, 366212835, 597938024, 511037448, ( -1), 614677048, ( -1), 249848807, 428719059, 255137787, 902076238, ( -1), 840174370, 280431522, 529648757, 522225846, ( -1), 563283669, 741978872, ( -1), 879940659, ( -1), 363722980, ( -1), 843866553, 354572149, ( -1), ( -1), 908537173, 439490901, ( -1), 312132544, ( -1), 45709072, ( -1), 22205169, ( -1), 277652728, 945585388, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 94228930, 845570042, ( -1), ( -1), 495313604, 988005487, ( -1), 523475065, ( -1), 801458966, ( -1), 925693832, 379386185, ( -1), 953905763, 683296075, 730431496, 346703362, 102102906, ( -1), 263207143, ( -1), 737028538, 958087941, ( -1), ( -1), ( -1), 823911394, 772472056, 276063689, 364948898, ( -1), 868598416, ( -1), 82073146, 105389591, 145328949, 706880401, 307155266, 769833296, 582596515, 771690147, ( -1), 884153526, 14822334, 875335380, 692409762, ( -1), 89271399, 174645630, 322637814, 225934459, 837651871, ( -1), 995641019, 427245126, ( -1), 230569547, 29836271, 114958590, 506655072, 55572521, 804614034, ( -1), 350952830, ( -1), 702041365, ( -1), ( -1), 329325227, ( -1), ( -1), ( -1), 702884699, 417326997, 304087021, 44916501, 156868976, 640768067, ( -1), ( -1), 749198943, 698762860, 60809094, 299545336, ( -1), 891315147, ( -1), ( -1), ( -1), 422987161, 662406418, ( -1), 633272913, 599488111, ( -1), 299605767, ( -1), 502255411, 408571535, ( -1), 404808977, ( -1), 605501632, 596737444, 782304764, 930976870, 504067458, 981570319, ( -1), 659918, 293576761, ( -1), 238243795, 100904343, 591182251, 64677670, ( -1), ( -1), ( -1), 739605437, 842769560, 128519150, 78822133, 958446095, 586762166, ( -1), ( -1), 354670112, 955832996, ( -1), 494704263, ( -1), ( -1), 556091425, 437070950, 6594311, ( -1), 919196963, 867252541, ( -1), 32086321, 606779002, 279275162, 696806256, 714704563, 919148187, 801839380, 665415589, 175669811, ( -1), 842406261, ( -1), 444111393, 713962638, ( -1), ( -1), 275120069, 443900946, 189879805, ( -1), 956960366, 144411254, 887242332, ( -1), 651523255, 480808345, 994366481, ( -1), 480467963, 826814950, ( -1), 67765723, 633296782, 575047362, ( -1), 287458919, 558407855, 914616097, 250676749, 858908294, ( -1), 417823310, 206188387, 643092007, 503377627, 998254666, 972473373, 965983056, 188998892, 501370219, 637366019, ( -1), 31971042, ( -1), ( -1), 757826840, 557192868, 187438914, ( -1), ( -1), ( -1), 20317369, ( -1), 899627131, ( -1), ( -1), 785464473, 36829393, ( -1), 928118921, 434922934, 106535502, 824620576, 38826817, 210371589, 637432153, ( -1), ( -1), ( -1), 202647219, ( -1), ( -1), 640895858, 82326664, 829702697, 189557728, 163235396, 939230767, 594172927, 844493030, ( -1), 793574923, 667124059, 969625738, 447938185, 961215498, ( -1), 608684988, 594150175, 552344125, 466264550, ( -1), 309906382, 426920770, 373736085, ( -1), 943118647, ( -1), 759529567, 760400769, 211530563, 653437938, ( -1), ( -1), ( -1), 670468734, 113418690, 499969169, 463565154, 891484704, 252566039, 262208807, ( -1), 528949701, ( -1), 956712565, 814686677, 255905151, 101941901, 967451083, 729246541, 756700784, 65051420, 101743969, 893261912, 605307290, 260180587, 708287645, 375316104, ( -1), ( -1), 873836775, ( -1), 365947118, 221086610, 932766101, ( -1), 413297020, ( -1), ( -1), 76735711, 60620235, 295756015, ( -1), ( -1), 540383665, 234776827, 263014078, 723618136, ( -1), ( -1), 632493125, ( -1), 71837216, 416844738, 221775941, ( -1), 838097957, 58037801, ( -1), 636617636, ( -1), 189551207, 335679462, ( -1), 936216687, 317749125, 410024861, 302063259, ( -1), 641129273, 845874158, 183061006, ( -1), 302455171, 36964605, 258186294, ( -1), 58661634, 820259200, 172964269, 174250127, 851794648, 322613200, 931392414, ( -1), 346047231, ( -1), 500047390, ( -1), 430032085, ( -1), 398584511, 353290204, 961868715, ( -1), 678943403, 415994036, 765508440, ( -1), 424749053, 105957794, 981976402, 194369677, 853114652, 90277459, ( -1), 402551807, ( -1), ( -1), ( -1), ( -1), ( -1), 681208244, 463646705, 506293189, 564978687, ( -1), 117929861, 148282266, ( -1), ( -1), 934576190, 641294052, 867499505, 861273200, 414942873, 773066557, 437603701, 605617534, 210373539, ( -1), ( -1), 487741556, 414352846, 291703835, 482640341, 475657097, 374039370, 401141829, ( -1), ( -1), 979540295, 838660172, 671736063, 591439101, 189821692, 927821385, ( -1), 883284960, ( -1), ( -1), 802244424, 4556444, 792818288, 501241320, 119061434, 303042622, 720429152, 892485854, ( -1), ( -1), 319871790, 339933603, ( -1), 200794612, 55998331, 328050041, 706408370, 134456265, 819568811, ( -1), 331947281, ( -1), ( -1), ( -1), ( -1), ( -1), 862485448, 62593020, 801194273, 67498029, 26143559, 765338979, 138148200, 807258742, ( -1), ( -1), 402877985, 511229422, 898949168, 951199205, 799174368, 457698278, 989790328, ( -1), 66639969, 152160489, 462369035, ( -1), 625023322, 565491676, 264676501, 393677906, 827075443, 947168591, ( -1), ( -1), 579499709, 39829781, 838362376, 750156425, 339221251, 295083104, ( -1), 645815153, 811449099, 435803270, 93475093, 838353041, 996187134, ( -1), 278790581, ( -1), 386316464, ( -1), ( -1), 590816036, 845275057, 310260928, ( -1), ( -1), ( -1), ( -1), 448570713, ( -1), ( -1), 629090607, 86163806, ( -1), 647887704, 454129069, 823430870, ( -1), 473956619, 537764588, 731540426, 561026685, 280138707, ( -1), 214956972, ( -1), 247092741, ( -1), 839101150, 330008816, 177453541, 954059203, ( -1), ( -1), 941436987, ( -1), 645918349, 890371457, ( -1), 665600276, 127265233, ( -1), 247205542, 720509345, 757955272, ( -1), 360331057, ( -1), ( -1), ( -1), 527369092, 947729480, 234433708, ( -1), 466292029, 314439378, ( -1), ( -1), 619712708, 312484285, 101717050, ( -1), 792002244, ( -1), ( -1), 281958165, ( -1), 825624617, 33878674, ( -1), ( -1), 277800052, 939155176, ( -1), 482806905, ( -1), ( -1), 889643421, ( -1), 149690030, ( -1), 542636955, 995967336, 718539945, ( -1), ( -1), 351331058, 523483340, 372440666, ( -1), 599281074, ( -1), 41350164, ( -1), 808737064, ( -1), 896652510, ( -1), 940007164, 879071130, 53101174, 364446855, 471915148, ( -1), 258294421, 899108639, ( -1), 674152243, 115320485, 763829300, 727816824, 10490836, 402427028, 319178832, ( -1), 411951079, ( -1), 494407109, ( -1), ( -1), ( -1), ( -1), 46074814, 109714383, ( -1), 610332258, 641948929, 22549253, ( -1), ( -1), ( -1), ( -1), 998341720, 185858937, 16591829, ( -1), 377474859, ( -1), ( -1), ( -1), ( -1), ( -1), 659254112, 816997473, 839994365, 977999803, ( -1), 305272916, 788867044, 499148043, 97515571, 31888304, 415717929, 136630813, 240160518, ( -1), 793591692, ( -1), 605549607, ( -1), 354018072, 842136654, ( -1), 224169881, 772262372, 57157421, 801805030, ( -1), 372321721, 87308913, 978730452, 956103489, ( -1), 976565677, ( -1), 638213956, 682149160, 483226641, 44330190, 29169901, 822212137, 827051415, 13698666, 302217410, ( -1), ( -1), 228217731, ( -1), 975090805, ( -1), 522567502, 95525027, 865328256, 338906670, 761559189, 463982460, 752055504, ( -1), 70969925, 755351305, ( -1), 881201812, ( -1), 236559984, ( -1), ( -1), 513447283, 101021319, 435661248, ( -1), ( -1), ( -1), 764776986, ( -1), ( -1), 655549368, ( -1), 357895652, 749820451, ( -1), 680855393, 298950466, 572792700, ( -1), 182978284, 760297028, 520089769, 242806103, ( -1), 570626198, 692484686, 306775985, ( -1), 106888624, 771652063, 468380219, 633676197, 349865126, 193656034, 6210184, ( -1), ( -1), 652331711, 864392136, 870538374, 380496026, ( -1), 190119553, ( -1), ( -1), ( -1), 440304159, 380234244, ( -1), 591701282, ( -1), ( -1), 189121147, 207002711, 335284071, 857944440, ( -1), 374897029, 986907605, 819424908, 261578064, 263156876, 573798266, 981770548, ( -1), 757817899, 750971570, 152534322, 60882380, 31266285, ( -1), 952543099, 656251250, 100684772, ( -1), ( -1), 170101736, 340175486, 872024452, ( -1), ( -1), 516860799, 944654918, 586314128, ( -1), 429917215, 345655061, 721896665, 908871989, ( -1), 107808216, 351567643, ( -1), 464749938, ( -1), 193416101, 434913574, 396864253, 870909316, 262037531, 164012603, ( -1), 819762956, ( -1), ( -1), 609144720, 371465437, 287632706, ( -1), ( -1), 570693603, 333292038, ( -1), 622208374, 91531338, ( -1), 167624391, ( -1), 814220507, 815263688, ( -1), 906165173, 277734568, 381789146, 782928644, 590295181, ( -1), 508941891, 659625655, 977814129, 29613800, 170679975, 178123624, ( -1), 36575848, 427678539, ( -1), 628485425, 83931213, 746899531, 8875305, 383094224, 494188718, 28981852, 504608019, 245125333, 765220180, ( -1), 796261926, 915049576, ( -1), 508375970, 762476131, ( -1), 275377373, 488610513, 910001749, 287573005, 681128904, 971993006, 362440848, 486802931, 397018363, ( -1), ( -1), ( -1), 477144454, ( -1), 957553741, 374009361, ( -1), ( -1), 769775391, 236380918, ( -1), 289748036, 132004123, ( -1), 822048670, ( -1), ( -1), ( -1), 479481961, 391102656, 234496063, 840382478, ( -1), 236195448, ( -1), ( -1), 134296299, 788491004, 948135075, ( -1), ( -1), 878116814, ( -1), ( -1), 824265465, 246069004, 143306958, 406526084, 985836066, 872496890, 642027150, 872791751, 102449815, 667466120, 16147636, ( -1), ( -1), 631428491, ( -1), 492260069, ( -1), 527696016, 303993000, 293621610, ( -1), ( -1), 284044554, 115804569, 894340496, 835794736, 898887565, 289945071, 781747602, 358665408, ( -1), 147321964, 733318455, ( -1), ( -1), ( -1), 874465171, 189555971, 543775511, 859082739, 136150206, 924503644, ( -1), 976576920, 474981887, 734429402, 887218449, ( -1), 613141404, 757043894, 510181717, 110236976, 989282895, ( -1), 575450601, ( -1), ( -1), 120167971, ( -1), 575117508, 619355216, 873590760, 966300953, 193185807, 572818886, 260221791, ( -1), ( -1), 254506092, ( -1), 32353453, ( -1), ( -1), ( -1), 936754038, 910225196, 28683837, 135437822, 851100410, 759296749, ( -1), 816738422, 697145904, ( -1), 714926631, 896316441, 487851615, 905608227, 979128597, 425242332, 816508043, ( -1), 277858034, 412519766, 839845770, ( -1), 168042082, ( -1), 504095263, ( -1), ( -1), 773423924, 199525939, 923516652, 36054515, 859031045, 685376666, ( -1), 924700702, 572867858, 340140560, 529183451, ( -1), ( -1), ( -1), 84033670, ( -1), ( -1), 332921302, 501115152, 764087243, 359219666, 644961090, 275945728, 718109223, 969152204, 152008782, 317963205, 633117576, ( -1), 985437802, 153239663, 412130956, 540231525, 890318073, ( -1), ( -1), ( -1), 774709799, ( -1), ( -1), 316323868, 550248917, 406317813, ( -1), 229028213, 915076484, 394454264, 223297369, ( -1), 846019258, ( -1), 567001060, 518783500, ( -1), 21824362, 192984635, 375691675, 534251276, 629095495, 77660826, 38358399, 111444149, 362153458, 241540867, ( -1), ( -1), 60894758, 775300200, 762187092, 206685391, 552478904, 231272821, 306723937, 953102601, 991244224, ( -1), ( -1), ( -1), ( -1), 8455474, ( -1), 807106534, 349628076, ( -1), 460061897, 777410132, 479628927, 663681786, 277303848, ( -1), 668860062, 695287213, ( -1), 676821624, ( -1), 630653519, 96008383, 396468274, 921549212, 434016629, 17928512, 513251032, ( -1), ( -1), ( -1), ( -1), ( -1), 628507658, 428573924, ( -1), 514481551, 593652663, ( -1), 180890233, ( -1), 205486032, ( -1), 908413821, ( -1), 70585667, 549858359, 455588879, 698639459, 603789002, ( -1), 99171532, 774664267, 558905439, 428913220, ( -1), ( -1), 179852778, 149947107, 2860171, 485999785, 798721732, 950164327, ( -1), 221681617, ( -1), ( -1), ( -1), ( -1), 319338175, ( -1), 292764791, 737769149, 192655321, 60384441, 407366569, 616988784, 206584746, 823875003, 442317302, ( -1), 37583242, 167919030, ( -1), 893914147, 699616072, 742816500, ( -1), 798977757, 457936514, 12664105, 121686904, 768359944, 267849253, 493482277, 207864427, ( -1), 198084165, 311324292, 462165495, 174207537, 847636108, 173923618, ( -1), 14484479, ( -1), ( -1), 399187051, ( -1), 655110159, ( -1), 838350871, 142484266, 151245452, 300447095, ( -1), ( -1), ( -1), 406886584, 145344729, 921589991, 628145107, 558125910, ( -1), 214706695, ( -1), ( -1), 771129197, ( -1), 784671467, ( -1), 355025284, 658376059, 435017764, 507702893, 663726341, 855174631, 665140107, ( -1), 186294306, ( -1), 947414474, ( -1), 249590206, 286690421, ( -1), 507224522, ( -1), 903657235, 419035179, ( -1), 739237236, 105291046, 462769180, ( -1), 444182752, ( -1), 24360105, ( -1), 942180483, 503086311, 752416989, 823970624, 575449974, ( -1), 355054099, 618224208, ( -1), 926794011, 374106226, 318463936, 188300676, 161531488, 125302441, ( -1), 491039246, 420242279, 427699102, 273234346, ( -1), 916819168, 702413357, 25494220, 714074114, 861351536, ( -1), ( -1), ( -1), 760750918, 310310907, 369593618, 145483556, 619610494, ( -1), ( -1), 190810165, 597600547, 92875568, 649275097, 411486881, 874080056, ( -1), 637858974, ( -1), 675441339, 921637681, 225309572, ( -1), 594755962, ( -1), 30850309, ( -1), 505346925, 318550977, 162496012, ( -1), 399326275, ( -1), 397083228, 181383299, 658184986, 790317672, 287635890, 259647974, 734529977, 735251486, 250793394, 74738421, ( -1), 415482319, 189316408, 786846550, 981852942, 126177376, 32046556, 33197150, 289139757, 250900802, ( -1), 777347353, 182076422, 587621290, 513059193, 408988215, 580275499, 995856676, 154363284, 467065854, 864545275, 144062309, 295670316, ( -1), 432869674, ( -1), ( -1), 401137067, 228363432, ( -1), 398266003, 320951840, 37570553, 303059420, 641721471, 33429192, 925538515, 853288904, 938409332, 573072909, ( -1), 665862853, 924221873, 73809559, 174820869, 625748073, 547936481, 785852900, 233191579, ( -1), ( -1), 517003162, ( -1), 340713942, 937274786, 395535436, 466341208, 625930608, ( -1), 537282064, ( -1), 600704931, ( -1), 62635589, 335235934, ( -1), 397294010, 664456468, 349459428, 689309008, 9295428, 425596738, 785843331, 26550543, 118201976, 998742772, 167004959, 758367251, 282547370, 342524379, 983011841, 137734346, 91557979, ( -1), ( -1), 541516553, 63425060, 653114778, 297687248, 36055809, 587811899, 949388237, 269244545, 614427757, 983010870, 624974765, ( -1), 953461701, 205978081, 365901458, ( -1), 751146972, ( -1), 699644915, 33149922, 445829453, 227026507, ( -1), ( -1), ( -1), 305037299, 389214831, 62840959, 267435879, 511319692, ( -1), 442503942, 501314821, 558970592, 686479887, 686270409, 872527774, ( -1), 845763021, 872578251, 432483237, 523484598, 375430756, 233571618, 975035973, 918974277, 575561042, ( -1), 815795627, 858101419, 693444006, ( -1), 226656493, 847661327, 539649972, 385893051, ( -1), 613123730, 116419222, 453081794, ( -1), 999202640, 697024486, 751078821, 112025398, 167176999, 165830237, 55006937, 90922056, 754953083, 186215007, 532475691, 571641250, ( -1), ( -1), 328650620, 697772660, 491796727, 418271695, 458276837, 354336661, 143427119, ( -1), 564496804, 407546726, 682269679, 740874636, 906126759, ( -1), 39794322, ( -1), 91451882, 225088546, 534245233, 387967628, 553325190, 207464718, ( -1), 807568253, 578492371, 437449961, 206394534, 4777234, 537948934, 847453212, 720404937, 89960516, 328182262, 723219337, 117474434, 322684416, 977056502, ( -1), 801106444, 483683512, 533085721, 935283181, 921605425, 221518070, ( -1), ( -1), 684149620, 332869617, ( -1), 161193407, 600314362, 461785253, 198271608, 320147605, ( -1), 181453540, 416286010, 586040099, 86947516, 936099042, 449879727, 76020840, 638954930, 859799436, ( -1), ( -1), ( -1), 274565081, ( -1), ( -1), 802968498, 256413677, 177819004, ( -1), 653034492, 537706164, 967968011, 847447700, 527081445, 101056995, 240444744, 832560889, ( -1), 551820652, 866607047, 696173044, ( -1), 145986764, 980675208, ( -1), 293876665, 612642966, 841732817, 952141704, ( -1), ( -1), ( -1), 140372288, 425969425, 896918555, 906652769, 477887503, 729927407, 415972157, 327833438, 648636090, 635481166, ( -1), 563756035, ( -1), ( -1), 652573544, ( -1), 917041801, 671776593, 876578523, 983334005, 102878749, 999031096, 254250968, 707598957, 119959229, 86318478, ( -1), 722719706, ( -1), 893245392, 123428464, ( -1), 799571278, 615786613, 207753136, 41273883, 617206765, ( -1), 641219609, 320546145, ( -1), 370409572, 783477602, 283431552, 881628522, 342689898, 513003098, 830504391, 206859994, ( -1), 904050131, 988368391, ( -1), 585906442, 326172032, 211581873, 106780961, 12445041, 358503903, 415595956, 129957826, ( -1), ( -1), 788954187, 476382374, ( -1), 211124951, 857909139, 373261427, 699243024, 315534433, ( -1), 898881588, 675234099, 994549733, ( -1), 336326352, ( -1), 647661332, 273444244, 704193611, 349865999, ( -1), ( -1), 336794798, 143617137, 28123186, 771815395, ( -1), 480138706, 803311774, ( -1), 571408622, 663400706, 464428071, ( -1), 23952629, 507295788, 422046780, ( -1), ( -1), 785167886, 420228218, 403603845, 229788302, ( -1), ( -1), 926491547, 242634536, 680877433, 623032045, ( -1), ( -1), ( -1), ( -1), ( -1), 171013948, 660594934, 99846145, ( -1), 469291976, 535981764, ( -1), ( -1), 929522620, 652019575, ( -1), 471978613, ( -1), ( -1), 62022964, ( -1), 400542495, 837375887, ( -1), 253561954, ( -1), 328160591, 1603472, 704841209, ( -1), ( -1), 48673825, ( -1), 915977538, 220454622, ( -1), ( -1), ( -1), 88163680, ( -1), ( -1), ( -1), 183028168, 449665706, 990104112, 592434338, 95049898, 931655419, ( -1), ( -1), 441692129, 912459456, ( -1), ( -1), 323130233, 867292477, 904389162, 344390814, 755975468, 471103231, ( -1), 684867674, 798183089, 697706137, 550710059, 826191695, 339595674, 373535087, 879602571, 707749307, 962604693, 189977158, ( -1), 49766267, 358793156, ( -1), 471666149, 12351044, 791403981, 901028076, 509465275, 576477285, 332004598, 383608950, ( -1), 747297503, ( -1), ( -1), 51427180, 733114070, ( -1), 683514790, 45795987, 940313667, 404945813, ( -1), 648489817, 768363276, 679536138, ( -1), 101425803, 314540197, ( -1), 835478273, ( -1), ( -1), ( -1), 338170601, ( -1), 781973208, 53733954, 946554146, 601963405, 699208248, ( -1), 181775990, 108792324, 505706220, 413392211, ( -1), 994877902, ( -1), ( -1), 359691628, 750958865, ( -1), ( -1), 404088490, 609626359, 391488071, ( -1), 435608058, 46169818, ( -1), 122978782, 224763374, 555322601, 784328116, 851395252, ( -1), 427313074, 77836165, 883523689, 486749604, ( -1), 11715696, ( -1), 421459462, ( -1), ( -1), 117970200, 542744617, 434909261, 284215465, 850416973, 759678815, 916068698, 833055913, 813403452, ( -1), 245719063, 250873935, 457122252, ( -1), ( -1), 462717383, 89549104, 267525795, 612673922, 386046533, 109783443, 260753334, 756202161, 493871248, ( -1), 841834185, ( -1), 151158175, 778224188, 165529815, ( -1), 793359989, 134542025, ( -1), 23231986, 951184108, 632967145, ( -1), 155950024, ( -1), 405632617, 322536736, 940256925, 496344329, ( -1), 870380931, 381867545, 334612195, 734620091, 577936219, 504715044, 813851888, 102548793, 46641586, 58481255, 649837179, ( -1), ( -1), 965261032, 253277892, 241752855, 899767479, ( -1), 586992393, 714128069, ( -1), ( -1), 763153184, 86775481, ( -1), 666656664, 325284587, ( -1), 936076657, 937509897, 99400415, 125341693, 410919088, 376035166, 544428718, ( -1), 277260888, 336214035, 314571239, 664111038, ( -1), 208403519, ( -1), 673167554, 800677886, 826331080, ( -1), 50916769, 184735539, ( -1), 807885241, 551832075, 344167390, 707937038, 815086663, 21436439, 532379413, 60220991, 879001055, 683677330, 562793146, 392640898, 340099501, 708712050, ( -1), 546244835, 224801487, 752402498, ( -1), ( -1), 39013026, 26691246, 507503143, 498539032, 126579892, 935045377, 723733441, ( -1), 644841804, 545626962, 778828145, 658102708, ( -1), ( -1), 154754806, 58979539, 275993078, 582832119, 431895735, ( -1), ( -1), 154754583, 463935452, ( -1), 131986355, 307425857, ( -1), 563464296, 863066943, 490254656, 602977643, 331271680, 269481544, 893119787, 708790226, 657987918, 383126440, ( -1), 748271691, 896294638, 164080876, ( -1), 780452521, 9234198, 908446358, 59096947, 151585241, 413791514, 146900557, 299131810, 116062813, 450094899, ( -1), ( -1), 857843411, 558169594, ( -1), 947571382, 78119784, ( -1), 595314489, 408239410, ( -1), 840311289, 871707464, 524373578, 389162620, ( -1), 896637234, 887387263, 675258802, 530100819, 919982510, 568729407, 204137616, 371889947, 758349037, 502799881, 595470013, ( -1), ( -1), 236793418, ( -1), ( -1), ( -1), ( -1), 125359217, 190121332, 174655756, ( -1), 138830842, ( -1), ( -1), ( -1), 786515725, 760728244, 145882218, 876190879, 353031485, 138138811, ( -1), 325746532, ( -1), ( -1), ( -1), 735701208, 330610150, ( -1), 536176929, 788756722, 550939690, ( -1), ( -1), 432137156, 689531692, ( -1), ( -1), 60079110, 884402136, ( -1), 442394258, 20657014, 332417826, 613287989, ( -1), ( -1), 808375454, 945636356, ( -1), ( -1), 492368410, 237859923, 85444141, 782285905, 290107095, ( -1), 499381482, 664881333, ( -1), 215277933, ( -1), 187362342, 585906238, 960116292, 808443969, 692187037, 653680975, ( -1), ( -1), ( -1), 197526554, ( -1), 17970249, 536564562, 282979935, 694763400, 106172610, ( -1), 95383913, 221058347, 33084481, ( -1), 270199236, 361713918, 942188230, 505371747, 611694771, 826282934, 160791217, 181906537, ( -1), ( -1), 716177006, ( -1), ( -1), 889099884, 301169862, 109298096, 776622787, 393946874, 449087225, 549464565, 554009027, 287011051, 29012239, 481695892, 505289871, ( -1), ( -1), 171061348, 868224576, 589108186, 241240260, 895598408, 308532199, 702886808, 903910291, 233340548, 387171779, 557150855, 136890605, 628608963, 518528652, 778559074, 634286839, 870080483, 849772732, ( -1), 698382696, 115184016, 638850289, 406815841, 218967597, ( -1), 745747673, 548937695, 628979560, 347325603, 954753991, 560451436, ( -1), 966919842, ( -1), 230498851, ( -1), ( -1), 464391970, 74636150, 970267778, ( -1), 377692095, 641544368, 127592610, 986053957, 922269875, ( -1), 489975583, 939296292, ( -1), ( -1), 814469490, ( -1), 511949386, 700736836, 790971907, 136213931, 858413150, 450274157, ( -1), ( -1), ( -1), ( -1), ( -1), 792524522, 968910992, 929628645, 812842574, 158110746, 820827347, 331748572, ( -1), ( -1), ( -1), 621490376, 186465481, 861455288, ( -1), ( -1), 108977683, ( -1), ( -1), 737728600, 771549088, 476716085, 403232271, 256035481, 120625528, ( -1), 3226341, 905915109, ( -1), ( -1), 336864216, ( -1), 690524611, ( -1), ( -1), 38447642, 963261857, ( -1), 919240804, 713953665, ( -1), 530144545, ( -1), 145565332, ( -1), 218296880, 896705328, ( -1), 759413070, ( -1), ( -1), 824946737, 181356974, 258696328, 395398740, 550870681, 985270142, 998324269, 796444491, 20545790, 33902627, 872158134, ( -1), 415013092, 626057180, 172548493, 388650566, 972819830, ( -1), ( -1), 746532452, 459532344, ( -1), 477147001, 382001942, ( -1), 614162694, ( -1), 340575363, 636219932, 240093436, 127699298, ( -1), 542660092, 231066910, ( -1), 172433999, 38618460, 60823857, ( -1), 816891592, 160710860, 399085338, 856039926, 281999774, 152226213, ( -1), 897418697, ( -1), 173569210, 799376509, 744967271, 710908485, 919829122, ( -1), ( -1), ( -1), ( -1), 416728249, ( -1), 114106865, 987057047, ( -1), 643739649, ( -1), 129823178, 925638729, ( -1), 657301328, 887764779, ( -1), 890909275, 732366309, ( -1), 887998257, ( -1), 450473431, 279625931, ( -1), 50902013, ( -1), 648194023, 118915608, 965269805, 901182121, 949933622, 124028368, 667104444, 957587174, 576257139, 132635083, 932622737, 401721352, ( -1), 225221794, ( -1), ( -1), 454048850, 280914630, ( -1), ( -1), 390097812, 383048506, 491122991, 16873344, 473321350, 136831393, ( -1), 156347104, 550754346, ( -1), ( -1), 769207529, 58026982, ( -1), ( -1), 662333918, 642130952, ( -1), 186610536, ( -1), 498650434, ( -1), 67230259, ( -1), 332281587, ( -1), 401082585, ( -1), 310944256, 468268839, ( -1), ( -1), 199526739, ( -1), ( -1), ( -1), 735955089, 663044771, 779238759, ( -1), 537319162, ( -1), 132503549, 4698975, ( -1), 190079725, ( -1), 291856585, 997416455, ( -1), 559616028, ( -1), ( -1), ( -1), ( -1), 189671890, 590506201, 632409179, 217671142, 252876586, 654114961, ( -1), ( -1), 768390301, 685762720, ( -1), ( -1), 536223697, ( -1), 70833568, ( -1), 596336011, ( -1), ( -1), 658376801, 206612620, 584039036, ( -1), ( -1), ( -1), 731834975, ( -1), ( -1), 820602703, 654632896, 452555459, 123341380, 837740764, ( -1), 290553612, 362328592, ( -1), ( -1), 831847126, 328918580, 619659437, 176153197, 307158542, ( -1), 264139624, 994541436, 573045606, ( -1), 405024444, 513632386, ( -1), ( -1), 910287807, 264990753, 217497813, 885946162, ( -1), ( -1), ( -1), ( -1), ( -1), 111323759, 985148751, 165587190, 846441425, ( -1), ( -1), 58636238, 357722484, ( -1), 601859268, ( -1), 614759950, ( -1), 996369471, 337040502, ( -1), ( -1), 743601623, 371784081, 977674734, ( -1), 153123228, 632136529, 267555160, 874110227, ( -1), 202930323, 885091877, 698047050, 96969375, ( -1), 264623157, 194259035, ( -1), 269032728, ( -1), 254953422, 884110481, 214215454, 734455416, ( -1), ( -1), 892366022, ( -1), ( -1), 160754590, 171450511, ( -1), ( -1), 561744833, 227780167, ( -1), 992063073, 233631119, ( -1), 714484124, 366977348, 603274759, 631394492, 635295231, 874864919, 496427616, 680170769, 714913521, 187639925, 761612229, 487568877, 813588278, 580275263, 341688879, ( -1), 476509424, ( -1), 806076942, 583109971, 270166500, ( -1), 61124429, 153653914, 849426130, 112116765, ( -1), 282773973, 871606915, ( -1), ( -1), ( -1), 455168711, 709906229, 427133380, 911112231, ( -1), 907819876, ( -1), 428713447, 613443206, ( -1), 451028493, 932337409, ( -1), 774887083, 726241807, 371965260, 346242032, 513919524, 118155122, ( -1), 921778755, 763689471, 255710690, 950360223, 654400913, 938028738, 706096703, 369766674, 785087035, 931018222, 672030503, 820203996, 529914679, 600427009, ( -1), ( -1), ( -1), 630437745, 21278475, 920177085, 90942391, ( -1), 135246928, 283282753, 42267293, 671323388, 605358183, 654115237, 106899572, ( -1), 674794662, ( -1), 790510218, ( -1), ( -1), 324088075, 847355826, 230609349, ( -1), 995083870, 518627642, ( -1), ( -1), 150862634, 190883680, 630094317, 546636120, 736312484, 12733217, 742585425, 752164137, ( -1), ( -1), ( -1), 17134508, 623733876, 577877149, ( -1), 649974422, ( -1), 340022167, 441327628, ( -1), 946473957, 18409857, 356180481, 272367213, 145360688, ( -1), ( -1), ( -1), ( -1), 201695326, 324410730, 276380595, ( -1), 216129027, 600980612, 635741768, ( -1), 21653772, 99793902, ( -1), 857908208, 249687799, 948724728, 474187417, 644693982, 906522950, 213181070, ( -1), 679080792, 231385088, 340197832, 673052323, 559117105, ( -1), 21096133, 991567052, 41005307, 991153290, ( -1), 169931095, ( -1), 772225573, ( -1), 666989213, 767432260, ( -1), 237637824, 361500897, ( -1), 685135398, ( -1), ( -1), 754032058, 484527444, ( -1), 863232408, ( -1), ( -1), 791283785, 367524427, 665581863, 475379931, 73597966, ( -1), 798213949, 933051305, 22537337, 762087055, 918417891, 238206105, ( -1), ( -1), 99507937, ( -1), 553998840, ( -1), 720066308, ( -1), 508871032, 43465768, ( -1), ( -1), ( -1), 193029794, 162819510, ( -1), ( -1), 974662744, 296838004, 490281731, ( -1), 332572167, ( -1), 144338610, ( -1), 13220323, 281226458, 936638623, ( -1), ( -1), 881716516, 724367977, 213304494, 52818437, ( -1), ( -1), ( -1), 527481398, 343766516, 177376269, ( -1), 50606528, ( -1), 834129413, 72063974, 349948765, 201459322, ( -1), 852313174, 64297081, ( -1), 998847306, 191640214, 122817067, 28133918, 139540137, ( -1), ( -1), 738881176, 431144483, ( -1), ( -1), ( -1), 583223603, 806115723, ( -1), ( -1), 694777274, ( -1), 126069175, ( -1), 755213297, ( -1), 75536228, 217077001, ( -1), ( -1), 255460263, 588340816, ( -1), ( -1), 258425495, 842483228, 827936786, ( -1), 856762257, 405362050, ( -1), 328845637, 673127224, 351936936, 289434851, 776171651, 505547642, 743142072, 588437974, 573935788, 115256516, 786426569, 314612052, 126117562, ( -1), ( -1), 516143256, 500319782, ( -1), ( -1), 779703152, ( -1), 434184586, ( -1), 846508680, 122812615, 709833164, ( -1), 551104971, 599402086, 165375841, 729627260, 418996421, 443056903, 378841819, 772300744, ( -1), 684060983, ( -1), 701835710, 303853495, 345328078, 356267473, 159811189, ( -1), ( -1), 124526993, 511408385, 78553901, ( -1), 639162338, ( -1), ( -1), 55923689, ( -1), 305271791, 53017177, ( -1), ( -1), 863073998, 11285218, ( -1), 954050976, 315691551, 65018572, 22131442, 796964732, 656854278, ( -1), 579641382, 177727530, 367777509, 15908880, 903997333, 566294031, ( -1), 378437406, 753877573, 831553017, 976989959, 351716666, ( -1), ( -1), 59976931, 795335640, 270292914, 835313402, 134521261, 995763363, ( -1), 292659000, ( -1), 806712883, 103240040, ( -1), 855591828, 480005948, ( -1), 374639156, 946565123, 681541723, 472710780, 761780441, 617574978, 789840196, 273569282, 381788592, 927899015, 455556297, ( -1), ( -1), ( -1), ( -1), 443681865, 852586406, ( -1), 704477224, 423649816, ( -1), ( -1), 876402915, ( -1), 359838282, 615845563, ( -1), 845362694, 646647713, 465270768, 441376695, 471151543, 226969450, ( -1), 329774961, ( -1), ( -1), 154848534, 193649284, 24415289, 75680874, 896229951, 41688036, ( -1), ( -1), 489629299, ( -1), ( -1), 731600203, ( -1), ( -1), ( -1), 840576322, 690093708, 640670265, 446655131, ( -1), ( -1), ( -1), 160076248, 20815124, ( -1), 747274760, ( -1), ( -1), ( -1), 290769960, 620002906, ( -1), 331410973, 547421419, 376248828, 678068806, ( -1), 496484388, 534192324, 696592780, 484919785, ( -1), ( -1), 471162531, ( -1), 57099074, 468970935, 275932583, 948058369, 74492353, 395394723, 496255101, ( -1), 248280396, ( -1), 269304735, ( -1), 115393731, 123011604, 88834268, 753580407, 266175825, ( -1), 371740929, ( -1), ( -1), 809391749, 835965511, 786917850, 654790142, 384456417, 23003214, 454147196, 634837503, 871099898, ( -1), ( -1), 481686828, 916526875, 846584773, ( -1), ( -1), 50182680, 863577354, ( -1), 675186191, 982127279, ( -1), 76957090, 13166832, 412789124, 530955342, 727364921, 923418947, ( -1), 626231364, 307866421, 697602371, ( -1), 608100907, 364889627, 72326730, 655800404, 656433154, ( -1), 633211678, ( -1), 933250090, ( -1), ( -1), 388362650, ( -1), ( -1), 576751167, 326253017, ( -1), 527649689, ( -1), 924621373, 793114283, 312967081, 134242123, 806027767, ( -1), 278054549, 820858541, 937628196, ( -1), 987793690, 707657667, 675372607, ( -1), 251033236, 485124229, ( -1), 699191678, 300108466, ( -1), 691735158, ( -1), 362605390, ( -1), 476308015, 767309366, 197713898, 223984287, 443523487, 597881758, ( -1), 987684031, 119770980, 706684435, ( -1), 675150472, 644264487, 326735428, ( -1), 303392492, 325936285, 313698938, ( -1), 735121383, 681276385, 761185828, ( -1), 488668160, 738015584, 533632688, 783700578, ( -1), 888120883, ( -1), 304961275, 142806009, 84439695, 451953671, 63877866, ( -1), 587801463, 844371744, 613006333, 810288702, 655627922, ( -1), ( -1), 941775286, 404815813, ( -1), ( -1), 373359114, 912014522, 802803210, 960599857, 425069888, 99987914, 627442808, ( -1), 624531854, 11907558, 659007653, ( -1), 718793349, 371185301, ( -1), 786217902, 601615683, 474881726, 20985111, 209156465, 127305074, ( -1), 323764243, ( -1), 527989588, ( -1), 948623163, ( -1), 356905520, 827268700, ( -1), 273377893, ( -1), 732320518, 411327206, 729348869, 860292632, ( -1), ( -1), 531969903, 396779043, ( -1), 871902335, 272756159, ( -1), 101839444, 386282602, ( -1), 412391278, ( -1), 114144927, 314397041, ( -1), 872540506, 39317694, ( -1), 470428035, ( -1), 799721153, ( -1), ( -1), ( -1), 376541853, 586207469, ( -1), 179142971, 962671527, 553369585, 927540247, ( -1), 199863199, 669094748, ( -1), 386137405, 685281584, 547692194, ( -1), ( -1), 958014859, ( -1), 365017919, ( -1), 265035921, 908790042, 237619175, 917560713, 303509370, 432294154, 390326980, ( -1), 417824982, ( -1), 711915402, 576918585, 351506092, 474376851, ( -1), ( -1), 256620325, ( -1), 672013936, 147406352, ( -1), 425950964, 63550005, 417169856, 119181686, 650763447, 779249188, 273088145, ( -1), 599088564, 562905139, ( -1), 593385704, 850966341, 759616545, ( -1), 608757709, 624144471, 708047182, ( -1), 628165125, ( -1), 415879127, ( -1), 667898090, 544480206, 500780400, ( -1), 363002042, 820563647, ( -1), 632370364, 908187053, ( -1), 682125163, 679655119, 439685855, 845147072, 961452562, 493078065, 177653293, ( -1), 475222393, 134877684, 567323399, ( -1), 488494226, ( -1), 756685984, 764192366, 351322390, 487385592, 180752683, ( -1), 442904829, ( -1), 979414235, 872030635, 500481876, ( -1), 526408927, 51654050, 474734270, 476468609, 873111216, 788916095, 544013983, 970474517, 464359969, 697754338, 119773918, 115725376, 487821216, ( -1), ( -1), 563384344, ( -1), 646292322, 749917973, 924659488, 588972004, 671425383, ( -1), 307841629, 516986089, 638576027, ( -1), ( -1), ( -1), 865345979, 44557952, ( -1), 644963923, ( -1), ( -1), 174430443, 252565207, ( -1), 948118975, 636339526, 332575916, 261730319, 882579359, ( -1), ( -1), 434959942, 799268344, ( -1), ( -1), 636719205, 444556261, ( -1), 783970271, ( -1), 62232783, ( -1), ( -1), 94276685, ( -1), ( -1), 981351841, ( -1), ( -1), 471627000, 721115724, ( -1), 488146422, ( -1), ( -1), 782542962, 509730080, ( -1), 510672385, ( -1), ( -1), ( -1), ( -1), ( -1), 376589906, ( -1), 441233481, 631471375, 850872051, 923712494, ( -1), 40309858, ( -1), ( -1), 184877766, 780564388, 882262958, 761481177, 217200541, 937518013, 881559368, 403164393, ( -1), ( -1), 378926414, 164915603, ( -1), ( -1), 211317486, 475025806, ( -1), 861329924, 503467386, 888538377, ( -1), 301507277, 342106993, ( -1), 881408412, ( -1), 256546150, 928889238, 664929664, 690736966, 703297351, 413708825, 893771267, 227062834, 853232889, 303372710, 586144866, 539583868, 694281221, ( -1), 103098640, 12641412, 952227224, 694494919, 22296125, 171429392, ( -1), 267571731, ( -1), 536020488, ( -1), 664778182, 722379360, 812492630, ( -1), ( -1), 623253448, ( -1), 696489668, 89630856, ( -1), ( -1), ( -1), 163483070, 726078688, 563958836, 560895523, 381534591, 891060690, 984445122, 906286877, ( -1), ( -1), ( -1), ( -1), ( -1), 917964051, 235891970, 627456654, 105306855, ( -1), 279528361, ( -1), 20742484, 697030905, 602081848, 427973445, ( -1), 25827829, ( -1), 770424443, ( -1), 713946168, 503915679, 408687494, 923428461, ( -1), ( -1), 906073109, 542273907, 256735513, 969323865, ( -1), 767822201, 616054888, 208653374, 989286818, ( -1), 343654466, ( -1), ( -1), ( -1), 103992992, 834958737, 577384241, 134702766, 393364567, 949716901, 105037952, 125551651, 865564461, 293939798, 589582541, 267405674, ( -1), 468893990, ( -1), 356071796, ( -1), 366018892, ( -1), 778342777, ( -1), ( -1), 781467386, 180294037, 55525835, ( -1), ( -1), 939400326, 355285246, 120261700, 748139355, ( -1), 89251548, ( -1), ( -1), ( -1), 971476250, ( -1), 616621943, 127412895, ( -1), 592794189, 96490731, 904324762, 299052973, 890460366, 754476389, ( -1), ( -1), 941604762, 491184762, ( -1), 640654549, 683408974, ( -1), ( -1), 602109447, ( -1), 190465482, ( -1), ( -1), 443029630, 751670745, 479679593, ( -1), 411648450, 975680103, 588247117, 651251533, ( -1), 450932294, 570647570, 621740005, ( -1), ( -1), 156855983, 119680877, ( -1), 638932200, ( -1), 76974308, 957259653, ( -1), 340733578, ( -1), 115752335, 328272882, 253166118, ( -1), 954252806, ( -1), 533158289, 686577313, 54849436, 73172902, 419395986, 241707739, ( -1), 336329555, 866044201, 319679368, 970790186, 495627078, ( -1), 793085681, 927068976, ( -1), 264699138, ( -1), 592655436, ( -1), ( -1), 439866432, 35777223, ( -1), 457187734, 726266605, 377083246, ( -1), ( -1), 535828984, 39148242, 694719025, 544102342, 41090290, 3619397, 17833340, ( -1), 816679981, 169625913, ( -1), 460784180, ( -1), ( -1), 536135762, 223870123, 889027611, ( -1), 354785738, 157881003, 438341551, 122176000, 308708745, ( -1), ( -1), 319481184, 652311054, 472752238, ( -1), 218801293, 472366397, ( -1), 427610676, 724348334, ( -1), 641272031, ( -1), 641457356, 160702247, 192924391, ( -1), 318283726, ( -1), ( -1), 547734156, 678676249, 849864137, 480123842, 135483707, 249903385, ( -1), 172177852, 720724088, ( -1), 605809714, 424891451, ( -1), 558180251, 678443257, ( -1), 806473303, 353414719, 973689485, ( -1), 563249767, 110358266, 17776454, 493591815, ( -1), ( -1), ( -1), 402518842, ( -1), 104986766, 699563872, 724497481, 802776387, 904585481, 354651717, 357169437, ( -1), ( -1), ( -1), 143067501, 274817184, ( -1), 637427531, 717608682, 932454757, ( -1), 669720968, 676268255, ( -1), 19056901, 355895665, 427695295, 239087112, 412458155, ( -1), ( -1), 986652760, 71528360, 429170171, 188828625, 279858178, 406846061, 218960558, 289573519, 281597039, ( -1), 637500929, 147532160, 7287198, 931420924, 73082514, ( -1), 505058924, 661982664, ( -1), 49612972, 210614995, ( -1), 446778708, ( -1), ( -1), ( -1), 173520326, ( -1), ( -1), ( -1), 650882895, ( -1), 253438727, ( -1), 648163473, 116495031, 299696551, 693943503, 137828167, ( -1), 301363211, 658890111, 300898390, 93464765, 23940497, ( -1), 945881344, 374101270, 575679380, 628440691, 540885409, ( -1), 906926032, 442707989, 724886199, ( -1), 35880204, 541977368, 732733763, 198943374, 185908548, 775136573, ( -1), 534644054, 321180838, ( -1), 574115613, 699252170, ( -1), 848021409, 271274416, 766723726, 983259495, 978869939, 314339709, 42591020, ( -1), 208051358, 465581412, 608202405, 830123610, ( -1), 753373410, 415649026, 564933891, 498250290, 400182331, 967015389, 217163943, 867124066, 784729792, 588209392, 38564475, ( -1), 122702894, 491134001, ( -1), ( -1), ( -1), 660370405, 56147922, 812621596, 179494307, ( -1), ( -1), 76312487, 705722019, 892203415, 909799005, 349786100, ( -1), 541753820, 946338490, 366357800, 817913158, 571385608, ( -1), 254803125, 456510043, 184864921, 198602960, 575760387, 816774027, 106027657, 337163410, 78573781, 450000688, 964770955, 657907029, ( -1), 611057996, 588160438, 115001631, ( -1), 233087706, 774969892, 256031123, 171017542, 823154337, 974258789, ( -1), ( -1), 935341482, 713470147, ( -1), ( -1), 726447520, ( -1), 182806485, 883405656, 38281125, ( -1), 361602477, 997321829, 212273974, 318678578, 371937606, 926748398, ( -1), ( -1), ( -1), 567345601, ( -1), ( -1), 186765009, 854449453, 973264327, 874393490, ( -1), 288364086, 297909748, 808138329, 770312720, 994384184, ( -1), 534272723, ( -1), ( -1), 915041805, ( -1), 578901434, 319933953, ( -1), ( -1), 994648874, ( -1), 570877625, 108564141, ( -1), 546033882, ( -1), 24409373, ( -1), 332558859, 482578331, 673722723, 957150786, 960371095, 565965706, 902352914, 977772779, 724985485, 25973518, ( -1), ( -1), 436485982, ( -1), ( -1), ( -1), 917973774, 845679438, 724095599, 865342570, ( -1), 564521283, 448145484, 99689673, 513126898, 358422045, 408254498, 4610878, ( -1), 133845206, 265365920, 525608109, 777728762, 603415788, 357815550, ( -1), 131261836, 506434582, ( -1), 871171641, 464064977, 887026813, 348401227, ( -1), 680964553, 443807835, 213049627, ( -1), ( -1), 950282396, ( -1), 406999461, ( -1), ( -1), 672809001, 18609613, 641974309, ( -1), 706439097, ( -1), 536220570, 436544695, ( -1), 431055126, 139085630, ( -1), 798430182, 530001915, 920145005, 13715081, 699497907, 250252548, ( -1), 948446220, ( -1), ( -1), ( -1), ( -1), 445525478, 243080779, ( -1), 163734740, 897306227, ( -1), 748222460, 602421892, 52698273, 269727372, 247140221, 420871746, 452091440, 695548851, 82699048, 865167651, ( -1), 40927844, 896178347, 695726661, 297477924, 2720100, 687711100, ( -1), 492520097, 346381629, 865201726, 828171284, ( -1), 828045143, 560257723, 333165473, 65942774, ( -1), ( -1), ( -1), 51718564, ( -1), ( -1), 182629882, 997981407, ( -1), 546931807, 431689068, ( -1), ( -1), 827242683, 895623678, 294370539, ( -1), 514866686, 276739699, 601975648, 433177453, 562045756, 767367221, ( -1), ( -1), 792856629, ( -1), 363181061, ( -1), 556225249, 486526701, 985343235, ( -1), 924692493, 305231593, 764111090, 55672319, 573741064, ( -1), ( -1), 869140317, 762743397, 864673071, ( -1), 274815036, 855777563, ( -1), 428094734, 617141946, 549261740, 45572366, 980171653, 480004705, ( -1), 636357660, 893811059, 334247182, ( -1), ( -1), ( -1), 42599288, ( -1), 269149105, 5704639, ( -1), ( -1), 354066208, ( -1), ( -1), 599230829, 201261520, 327562935, 401863174, 272219151, ( -1), ( -1), 812557243, 834107286, 587565566, 698870768, ( -1), ( -1), ( -1), 175813006, 127519020, 656271796, 500321453, 615709138, 292947216, 505086848, ( -1), ( -1), 515417268, ( -1), ( -1), 297157579, 299915507, 22428527, 257871817, ( -1), 912532733, 715943718, 141913726, 520519578, 691320773, 313496103, 230683530, ( -1), ( -1), 180240708, ( -1), 902061123, 866358761, 906363903, 970433388, 745279920, ( -1), 611505922, ( -1), 936772862, 719551942, 311061675, 271759110, 578157256, ( -1), 890321652, ( -1), 519252815, ( -1), ( -1), 472679039, ( -1), 485323411, 609261647, 528636373, 994445247, ( -1), 336727996, 61768965, 977144006, 579235762, ( -1), ( -1), 805347091, 41398199, 157276007, 368454070, 416893530, ( -1), 12934377, 841432929, 919568018, ( -1), 614359290, 581482154, 329963735, ( -1), 257773294, 356618881, 790386523, 609911682, ( -1), 840629079, 933418044, 846816338, 334274103, ( -1), 560831972, 840092431, 808363482, 799965879, 17368488, 217341629, 275077211, 682574426, 493022674, 406259232, 824331026, 321230674, 949397495, 319490584, ( -1), 537138398, ( -1), ( -1), 732054802, ( -1), 450670783, ( -1), 175013265, 341783897, 700874501, ( -1), 923226929, 500455827, 341846695, 93523828, ( -1), ( -1), 992843384, ( -1), 772697616, ( -1), 123084065, 796764706, 439040384, 427783553, ( -1), 293157724, 653083581, ( -1), 635257649, 616670762, ( -1), 426672814, 78039, 254044769, 436282380, ( -1), 81668025, 238357596, 237299689, ( -1), 287509520, ( -1), 402327864, ( -1), ( -1), ( -1), 45846455, 502005927, 228372139, 17857322, 110017609, ( -1), 317719596, ( -1), 115502426, 399269098, 164853012, 405157162, 274463836, 574627729, 30266381, 506977525, ( -1), 390862224, 130124516, ( -1), 454166863, 349797565, 403699884, 913463156, 170535827, ( -1), 474857767, 81071293, 508876526, 499440514, 50071734, 410894406, ( -1), 984062315, 790371757, 431104391, 917779291, ( -1), 350430732, ( -1), ( -1), 572343701, 361007046, 640404954, ( -1), 69141372, 156883908, 693367675, 265843059, ( -1), 173173696, 313485302, ( -1), 81684803, 865307289, ( -1), 511685828, 294289180, 559534423, 454447737, 445761385, 956852268, 874195286, ( -1), 795067370, 990934327, ( -1), 291006914, 36428178, 837394474, ( -1), ( -1), 654212624, 438532884, 59678349, 131067599, 37052818, ( -1), 48258241, 238594391, 533297583, 544284897, 522951198, 182124221, 613579605, 681649959, ( -1), ( -1), 234303264, 723955483, 333350880, 890704058, 851383867, ( -1), 91132135, 874191579, ( -1), 838814183, 126281302, 200551453, 283570630, 62425265, 733590557, 72815743, ( -1), 461469279, 577241616, ( -1), ( -1), ( -1), 968719304, ( -1), ( -1), 156912288, 252647286, ( -1), 514419649, 309659878, 440760941, ( -1), ( -1), ( -1), 555719625, 341885555, 930125108, ( -1), ( -1), 374803067, ( -1), 173076788, ( -1), 213001808, 359749296, 136168458, ( -1), 987527290, ( -1), 199279892, 856075355, 718754237, 411758718, 453417000, 660304454, 857711259, 845653665, ( -1), 174524028, ( -1), 734356525, 135595426, ( -1), 860067479, ( -1), 749183302, 798079693, 865625842, 157479366, 720067998, 554660667, 163773248, 430010182, 865722135, ( -1), 427536559, ( -1), 64174401, ( -1), 242982911, 497754449, ( -1), ( -1), ( -1), ( -1), 503304291, 614294895, ( -1), ( -1), 119224280, ( -1), 290856770, 319118744, 814113070, 580179004, ( -1), 668719798, 598522643, ( -1), ( -1), 885166141, 739626531, ( -1), ( -1), 19029081, 362740898, 238793825, 321788553, 52177813, 113527736, 687943473, ( -1), ( -1), 458105914, ( -1), 347023009, ( -1), 699063603, ( -1), 386732333, 94260899, 210136189, 382436044, 586642749, ( -1), ( -1), 234086227, ( -1), 255429850, 784199899, 861767949, 705988795, 772465598, 616358489, 385109657, 284705007, 395192561, 895446629, ( -1), 983037394, 866741393, 523812721, 145322355, 383042248, ( -1), 744686994, ( -1), 909809667, 767692450, 352057360, 52801842, 701330548, 193705339, ( -1), 779575783, 208921950, ( -1), 260799372, 474877082, 565155781, 593692613, 766745264, ( -1), 909310881, ( -1), 776951517, ( -1), ( -1), 260669889, 220721185, ( -1), 144069138, 40104236, 766264091, 325482189, 101065672, ( -1), 544488278, 454600207, 428188164, 985213345, 898865168, 557403161, 576744692, 452654788, ( -1), 71474575, 150443042, 447919463, 79561763, ( -1), ( -1), 197450520, 57637180, 2726238, ( -1), ( -1), 645237514, 521824923, 301868552, ( -1), 906701476, 673646804, ( -1), 546473391, 859334473, ( -1), 397393910, 128981147, 439664959, ( -1), 46859639, 571703482, 187638724, ( -1), 534034411, 820428976, 635101055, 308761992, 943538330, 855276693, ( -1), 169868343, 74599096, 349126686, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 496539372, ( -1), 490044090, 309743625, 308073364, ( -1), 985463940, 239875807, 543844856, 122709010, 514714762, 161409454, 647576778, ( -1), 905259883, 935898820, 706350335, 868559689, ( -1), ( -1), 641203260, 874247857, 636402864, ( -1), ( -1), 344469477, 601240803, ( -1), 774750676, 359175314, 261840434, ( -1), ( -1), ( -1), 863790740, ( -1), 457076050, 355553518, 69271914, ( -1), 239410353, 276912907, 649857906, 757692407, 356582109, 65821438, 918110757, ( -1), 492303687, 633038067, ( -1), 538907410, 764055939, 470848402, 448785380, 13561688, 219804639, ( -1), 384269579, 901923870, 332434770, ( -1), ( -1), 677546563, 134784626, 435060090, ( -1), 46900904, 838475866, 872169315, ( -1), 953953571, ( -1), 292330837, 342481681, 868284883, 398440262, 446134581, 869669227, 801254229, 165806279, 168148493, ( -1), 73368447, 112367175, 891529095, 620995678, 568807528, 115135998, 518258800, 216149007, 158148578, 740465869, 995945666, 468317052, 325945957, 322990821, 239267625, 513831998, ( -1), 281818401, 788099905, 707949922, 335843560, 772499761, 388020521, 59805511, 464433518, 884497490, 35280207, 5079155, ( -1), 722951129, 120913634, 381779855, ( -1), ( -1), 467685193, ( -1), 80378750, 243463646, 749314081, 293385935, 807228963, ( -1), ( -1), 261357830, 397707565, 760559053, 36713719, 823003744, ( -1), 854639340, ( -1), ( -1), ( -1), 683692453, 726836351, ( -1), ( -1), 907164248, 284751952, ( -1), 112741729, 453514033, 454206479, ( -1), 376470856, 266076130, 238592894, 24939037, 366206869, ( -1), ( -1), 959141228, 267993620, 95958486, 857388779, 821291589, 315199558, ( -1), ( -1), ( -1), 200844551, ( -1), 237834028, 568558233, 656960657, 269996739, ( -1), 661391133, 614673691, 478210616, ( -1), ( -1), ( -1), 634737785, 798644405, 158499539, 317632428, 430439955, ( -1), 811037901, 308314236, 670479374, 915376168, 58328612, 572262513, 275887243, 889262964, 666336497, 714306943, 304093523, ( -1), 820849353, 372536604, 587115507, 615037919, 447203550, ( -1), 547521853, 62618990, 201894366, 273728930, 483296294, 793122082, ( -1), 947739335, 206243216, 287533041, 984602884, ( -1), 618047997, 118357263, 290002616, 259261185, 188360966, ( -1), 352006288, 22610920, ( -1), 642616509, 858617811, ( -1), 157074086, 29294803, ( -1), ( -1), 290960800, ( -1), 311347191, 812257418, 37771940, 577869558, 872706347, ( -1), 799845831, 932796872, ( -1), 590497937, 506338403, 370644348, 943029636, 460602957, ( -1), 290382763, 781840472, 596956124, 102269566, 939459110, ( -1), ( -1), 674819015, 672012762, 543179695, 227738926, ( -1), 187792823, 29283509, 363015517, 714461540, 850983621, ( -1), 194168042, 489032966, 964454031, ( -1), 386976165, ( -1), 745696819, 742960635, ( -1), ( -1), 527440638, ( -1), ( -1), ( -1), 914336644, ( -1), 200783447, ( -1), 92156638, 192255305, 168035356, 48972052, 112478352, 248977250, 873608336, ( -1), ( -1), 175850291, 99226839, 182835728, 464502751, 301690717, 471996015, 818382990, ( -1), 753729604, 840521167, ( -1), 970562784, 214982192, 726628472, 576296758, 179913923, 873656694, ( -1), ( -1), ( -1), ( -1), ( -1), 995755726, 847641176, ( -1), 80737316, 937743856, 83706188, 716287980, ( -1), ( -1), 573139903, 887643941, ( -1), ( -1), 949450545, 370092773, ( -1), ( -1), 248210627, 629158177, 234008099, 853706689, 464521384, 425177696, 190000301, 660400438, ( -1), 125940373, ( -1), ( -1), 864873004, 439454133, 369581624, ( -1), 473357521, ( -1), 764913363, 364730832, 678270225, ( -1), 430362126, 201958729, 412678248, 154013325, 705783546, 201807704, 741945996, 834533146, ( -1), 905438287, 649710118, ( -1), 945850397, 156298970, 980508933, 350027066, ( -1), ( -1), 513311847, 410174452, 839430071, 202694595, ( -1), 326517933, 831679765, ( -1), 495499368, 894571875, ( -1), 349783380, 591016944, 73943309, 702055598, 119176626, 27208786, 507357303, 223126693, 690661814, 913333432, ( -1), ( -1), 782006356, 917902531, 3317870, ( -1), 25340123, 510742134, 958088075, 720342849, ( -1), 630297652, 417564125, ( -1), 946845965, ( -1), 686204665, 129052322, 880842134, ( -1), 98520236, 952784765, 324898997, ( -1), ( -1), ( -1), 409473843, 768929389, 329814692, ( -1), 214131361, 699179679, 976377653, ( -1), 545100350, 59353222, 746356946, 713453785, 561254599, 629141877, 767194601, 146302929, 607664994, ( -1), ( -1), 602445257, 24967440, 219572979, 152217133, ( -1), ( -1), 195406463, 303073622, 253223279, 803169982, ( -1), 838217133, ( -1), 686308131, 6503885, 865505592, 472554378, 807049037, 178898222, 42822652, 940415799, ( -1), 392488953, ( -1), 376669661, ( -1), ( -1), 150879345, 997914940, 64637527, ( -1), ( -1), 173338692, 968934675, 964561947, 965180797, 595377358, 828716990, 3824699, 441658144, ( -1), 945376444, 711803505, 504700690, 779282220, 929306590, 409229960, ( -1), ( -1), 877679119, 956177912, ( -1), 701165482, ( -1), ( -1), ( -1), 444179795, 311155459, 778999065, ( -1), 42504345, 136980748, ( -1), ( -1), 250818363, 635072520, 811151852, 528419004, 616936451, ( -1), 287988522, ( -1), 754787178, 623825258, ( -1), 815660068, 7187369, 209848750, 468886216, 947434797, 397776844, 418172989, 606909477, 901816111, 482844232, 843823536, 924713098, 464740557, 155371839, 699417068, 398565958, 139673286, 21983900, 613096954, ( -1), 242842124, ( -1), 443631634, ( -1), 944876549, 961538289, 506130260, 746564760, 810566532, 611359095, 797141881, ( -1), 552804466, 630952215, 157909439, 340042378, 193811810, 545933842, 277407116, 317052793, 490052581, ( -1), 307633858, 593817440, 761731645, 346304278, ( -1), 773389031, 883345338, 121724487, 566013223, ( -1), 376167457, ( -1), 341499738, 412770484, 231350721, 938711616, 181688930, 843548301, ( -1), 881493598, 292141022, ( -1), 213574627, 151522071, 564476959, 685662583, 313052224, ( -1), 91378731, 245645365, 500888212, ( -1), 525627698, 543003373, 826212289, 636592096, 94524007, ( -1), 591491716, 125161382, ( -1), 411953451, 683898100, ( -1), 381849874, 616386859, 477197538, 6698046, 96977503, 587725972, 978993788, 131230143, 412455213, 427235384, 223420379, ( -1), 36199821, 215853884, ( -1), 857283232, 145769687, ( -1), 702943865, 986414530, 332936258, 124744415, 330316422, 528313512, 627707502, ( -1), 985389965, 880000243, 147204874, 222482176, ( -1), 156008765, 500280120, 702052826, 100438688, 179699457, ( -1), 364539961, 900731690, ( -1), 840998162, 408159155, 91097810, 188395027, 612186374, ( -1), 745816493, 544252105, 607261835, 165499471, 303030612, ( -1), ( -1), 843374890, 899953483, 246858694, 606668015, 797976873, 493035884, 391259982, 625640067, 255651671, ( -1), ( -1), 693966614, ( -1), 592627627, ( -1), 700644314, 924034018, ( -1), ( -1), ( -1), 350625715, ( -1), ( -1), 555484349, 158163897, ( -1), 770787867, 394029196, 374099754, 126017358, 574296182, ( -1), ( -1), ( -1), ( -1), 143175064, 384027461, 356992166, 328959873, 118374992, 979922316, ( -1), 484815489, ( -1), 624804480, ( -1), 581336540, 893379466, ( -1), ( -1), 590817222, 606594291, 54055179, ( -1), ( -1), 418274669, ( -1), 492602473, 729027093, 371147128, ( -1), 460055698, ( -1), ( -1), ( -1), ( -1), 777976579, 959153073, 359196020, 352017432, 433755938, 281483965, 621939126, 681611485, ( -1), 121952347, 481384830, 778249689, 884653248, ( -1), ( -1), 744779650, 185906853, 221042020, 151943801, 554175173, 556684822, ( -1), ( -1), ( -1), ( -1), 248560723, 513055185, ( -1), 557685522, 773338956, 638547798, 155341339, 290114080, 470009746, 192953348, ( -1), 868860253, ( -1), 119146103, 685289622, 794600285, 789490133, 354498323, ( -1), 865728265, ( -1), ( -1), 980084608, 303718165, ( -1), 284833115, 948080352, 692880199, 102041316, 283554234, ( -1), 206508517, 330758716, ( -1), 988567578, 202817899, 202396774, ( -1), ( -1), ( -1), ( -1), ( -1), 871314636, 190134878, ( -1), 283826077, 38614931, 348691995, 337532581, ( -1), 955685550, 953821454, 457279548, 365718484, 83005817, 969912006, 536589098, 552404657, 596994917, 842567262, 233294509, 929182250, 147764771, 103639151, 531994528, 88605313, 470196379, 609009942, 772151527, ( -1), 833970310, 715191409, ( -1), ( -1), 233953742, 967869159, 156404664, 292733744, 839552898, 962430785, 425333688, ( -1), ( -1), 790249612, 368530696, 527639812, ( -1), ( -1), ( -1), 755021642, 695492600, 255252744, 691706302, 906010964, 666536780, 238600631, 932057647, 887397360, 341118128, 914173037, 433595330, ( -1), 452347682, 705027204, 731230334, 749905668, ( -1), 188897976, 29563078, 393114509, 180209158, 766354001, 147844499, 781544189, ( -1), 597942405, 329906606, 719623117, 957232102, ( -1), 724305569, 893950276, ( -1), ( -1), 627004521, ( -1), 108584746, ( -1), ( -1), 989765021, 70940021, 133728547, 942441926, 890135196, 266777649, ( -1), ( -1), 503683027, ( -1), 634441613, 78034651, ( -1), ( -1), 770182117, ( -1), 909405131, 555577727, 901152788, ( -1), 269126267, 998254244, 378403235, 413443490, 71346483, ( -1), 387061085, 18730173, 741741480, 774422970, 893604291, ( -1), ( -1), 913580836, 509833091, ( -1), 550202668, 162316266, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 884772036, ( -1), 780377313, ( -1), ( -1), 347564288, 132879447, 983052656, 326808679, 366918965, ( -1), ( -1), 863498689, ( -1), 630585306, 644230633, ( -1), ( -1), ( -1), 634285286, 258446743, ( -1), ( -1), 450350405, 472525991, 960707463, 897727667, 489079603, 572406471, 945982684, 271831348, 613286642, 907405994, 20203523, 764110702, ( -1), 417440708, 640060820, 765378523, ( -1), 259563889, 302439741, 159059408, ( -1), 415706715, 339801684, 556999562, 51571374, 934494007, 351308540, 725121739, 575071469, ( -1), 786313592, 285922342, 936790532, ( -1), ( -1), ( -1), ( -1), 8897991, 76010041, ( -1), ( -1), ( -1), 320676881, ( -1), 117148807, 519322567, ( -1), 980102121, ( -1), ( -1), 649213146, 853519839, ( -1), ( -1), 931648308, 374426258, 476798058, 447172940, 54415256, 419902724, 990507781, 745487868, ( -1), 230124496, 983375484, 874326634, 315730174, 74770828, 18209714, ( -1), 842531070, 491692800, 52510241, ( -1), 80356333, 254230151, ( -1), ( -1), 603693467, 439596792, 839416507, ( -1), ( -1), ( -1), 304057833, ( -1), 41509135, 400699376, 623809135, ( -1), 569050163, ( -1), 163026100, 263853214, ( -1), 858042202, 957998889, 408367327, ( -1), ( -1), ( -1), ( -1), ( -1), 781927098, 901576454, 49173569, 816317503, 475772896, 182463979, 189497108, 820982368, 476460603, 659318520, 751561748, 162438776, 458792399, ( -1), 566892531, ( -1), 414513070, ( -1), ( -1), 975824714, 411595164, 47434288, 646547765, ( -1), 503030031, 249490461, 551793835, ( -1), 741500066, 389188440, ( -1), 916025313, 295883257, 805091881, 243489625, ( -1), ( -1), ( -1), 283537985, 291987878, 343786787, 967397005, 941403024, 214514638, 344733738, 707355305, ( -1), ( -1), 919770564, ( -1), ( -1), 790369063, 273354535, ( -1), 52588183, 504427290, 254400809, ( -1), 1628159, ( -1), ( -1), 751614684, 235876664, 826682595, 640826247, 22419841, ( -1), 7455399, ( -1), 164755530, 527745748, 405683917, 484584763, ( -1), 266415583, 81693390, 854854326, ( -1), ( -1), 134386558, 679128441, 970799703, 847751741, ( -1), 32604794, 199767907, 220909319, ( -1), 36699120, 521880179, 908044591, 376014408, ( -1), 84188206, ( -1), 316164126, 757720050, 456332061, 471874730, ( -1), 591628081, ( -1), ( -1), ( -1), 860137149, ( -1), 735572226, 151932539, ( -1), 531141856, ( -1), 790448110, 49020026, 669644346, ( -1), 119706494, ( -1), ( -1), 359797268, ( -1), 430692625, ( -1), 784207398, 692201752, 867893096, 250832637, ( -1), 644700107, 736233809, ( -1), ( -1), 430985344, ( -1), 39117721, 184850373, 591448204, 46390639, 959622020, 367642156, 145569084, ( -1), 430184933, ( -1), 410052615, 91209336, ( -1), ( -1), 375726609, 578137703, 854304522, 753946146, 421713406, 708737065, 340987310, ( -1), 131657739, 443271490, 589856907, 435809392, 252550998, 620398365, 378361505, ( -1), ( -1), ( -1), 424868161, 634028483, 315232483, 46857399, 553209729, ( -1), ( -1), 171876350, ( -1), 421160504, ( -1), 347170208, ( -1), 771067744, 804965105, ( -1), 575995747, 718993748, ( -1), ( -1), ( -1), 60086314, 929077975, ( -1), ( -1), 58670655, 789566870, 787324844, ( -1), 419613752, ( -1), 392624609, 29214123, ( -1), ( -1), ( -1), 3599959, 790558290, 935941066, ( -1), 79419066, 386953708, 139316623, 73341370, 966300428, 661733358, 309250870, 273009880, 573901904, 288441103, ( -1), ( -1), ( -1), 174126402, 505568342, 137298478, 19445585, ( -1), 921431336, 536766896, ( -1), 512989951, ( -1), 228897689, 604119414, ( -1), 576347656, 850362885, 983609450, ( -1), ( -1), 449794102, ( -1), 80273794, 150017703, 697913335, 904958947, 226349617, 821009561, 713714031, 131985406, 299288212, 887372170, 282632144, ( -1), ( -1), ( -1), 888565865, ( -1), 552446194, 190973487, 455664202, 774020734, 738938805, 482212753, 470166920, 357530019, 572274685, 498706271, 973120476, 695803112, 456266519, 439947057, ( -1), 627963190, 501210448, ( -1), ( -1), ( -1), ( -1), 77758766, 875398620, ( -1), 297170893, ( -1), ( -1), 729605188, 927381765, 704217602, 594192912, ( -1), 57123163, ( -1), 479230502, 951840844, 249015601, ( -1), 981652373, 804991939, 530936431, 728688614, 375297007, ( -1), 489301688, ( -1), 891078822, 398538551, 346163203, 880471226, 894110717, ( -1), 786680693, 988021867, 273090548, 992579882, 551534911, 874036320, 968001910, 475796639, ( -1), ( -1), ( -1), 241936816, 545295814, 972162169, ( -1), 619298684, 463965912, 252259776, ( -1), 685446209, ( -1), ( -1), ( -1), ( -1), 842285636, 841539379, 935382500, ( -1), 426284700, ( -1), ( -1), ( -1), 356094150, ( -1), 559438211, ( -1), ( -1), 793137401, 777306023, 827976960, 115424972, 651107827, ( -1), ( -1), 915792231, ( -1), 595488518, 775161088, 997631596, 393109740, 996371299, 875234523, 80911344, ( -1), 905278705, 274527937, ( -1), 615170623, 149658580, 859232323, 107436263, 523188560, 62280609, 224757625, 375073387, ( -1), 215543966, 452681688, 16760263, 194085381, ( -1), ( -1), 497461419, ( -1), ( -1), 855435457, 806687504, 272246917, 364690696, 692796150, 890400115, 621709907, 549750113, 104689699, 145978926, ( -1), 352324531, ( -1), ( -1), 95546981, 982891116, ( -1), ( -1), 825928110, ( -1), ( -1), 894691362, 323982140, 669998767, ( -1), ( -1), 152716302, 781230267, 809046012, ( -1), ( -1), 269979422, ( -1), 491828590, 782771264, ( -1), 428797521, ( -1), ( -1), 75836658, 626147486, ( -1), 35772718, 810026371, 475013850, 475977386, ( -1), 942396659, ( -1), ( -1), 622173404, 153865142, 130191551, 935914848, ( -1), 658324532, ( -1), 326853015, ( -1), 427359392, ( -1), 831850778, 427458432, ( -1), 936911065, 376848189, 762211568, 875536357, 631845106, ( -1), ( -1), ( -1), 117055596, ( -1), ( -1), 748370774, 497874963, ( -1), ( -1), 603950460, 644578754, 911529695, 717252117, 613962639, 286123016, 612723057, 761360857, 909020861, 216145827, ( -1), 129815244, ( -1), 142524142, 130584127, 407935065, 307476765, ( -1), 348402464, 85438845, 965234616, 126429846, 94755213, 39411752, 405698932, 135913800, 472270151, ( -1), 340158188, 283029254, ( -1), 917150955, 135313874, 209066718, 148570645, ( -1), ( -1), ( -1), 172436951, ( -1), 362037481, ( -1), 730727180, 191456535, ( -1), ( -1), ( -1), 937994054, 62922647, 851984133, ( -1), 241613988, ( -1), ( -1), ( -1), 15759792, 166468021, 79136070, 122142866, ( -1), 814703324, ( -1), ( -1), 610677869, ( -1), 434710476, ( -1), ( -1), 400020750, 787103032, 443375467, ( -1), 411405836, 161222354, 681202092, 482328224, ( -1), 736499880, ( -1), 644168409, 380009887, 544741271, 62210806, 687727360, 128739207, 392268869, 159805573, 235955936, 40006065, 302246884, 24591506, 153615577, 459696940, ( -1), 66969756, 979509790, 776826471, 452703419, 66569842, ( -1), 994629575, ( -1), 469061823, 868319011, ( -1), 937621216, ( -1), 34930297, 733880797, 185957178, 611601999, 226621922, 917048225, ( -1), 230519133, 32646236, ( -1), 732116817, 271063503, ( -1), 663453663, ( -1), 22900165, 361678307, 377273287, ( -1), 845348721, 744377152, 84605317, 820050917, ( -1), 913844396, 183379534, 851391353, 660022714, 114153558, ( -1), ( -1), 741054522, 216567930, 136359006, ( -1), 519971154, 946341983, ( -1), 266893641, ( -1), 915859718, ( -1), 694665343, 183392558, 163831280, ( -1), 667302229, ( -1), 498269727, 755678724, 925614194, 211318846, 759815230, ( -1), ( -1), 634019088, ( -1), ( -1), ( -1), 911974144, ( -1), 44553374, 311043234, ( -1), 799667129, 118454688, 508407443, 125409771, 396435377, ( -1), ( -1), 508510621, ( -1), 346311538, 905318925, 970183278, ( -1), 161402274, ( -1), ( -1), 984137717, ( -1), 290766276, ( -1), 560735754, ( -1), 594915740, 230862245, ( -1), 758481786, 844294594, 998405004, 332693083, 196628692, 242598086, ( -1), 616069214, 627684100, 866298258, 462050827, ( -1), 826721825, ( -1), 581777857, 225684340, 432538084, 154984978, 307519788, ( -1), ( -1), ( -1), ( -1), 581967794, 68970522, 692858959, 988675823, 401068592, ( -1), 320525926, 572592323, 29226192, 157178008, 755536698, 35295787, 609337754, ( -1), 351735375, 972536626, ( -1), 659531441, ( -1), 6486494, 900648814, ( -1), ( -1), 742302040, ( -1), ( -1), 686112781, ( -1), 984438198, 507921462, ( -1), ( -1), 161395137, 396848766, 99215030, ( -1), 532634947, 444810067, 655724763, 761944126, 705703812, 381012538, 909883567, 495893600, ( -1), 332744531, ( -1), 532083635, 539989501, 658668631, ( -1), ( -1), ( -1), 593396345, 379797367, 197290850, 423501416, 225061028, ( -1), 549338717, 809115468, 701706145, ( -1), 355180378, 899812102, 699555445, 258062796, 246842008, ( -1), 120143965, 87533782, 605239937, 192045814, 264366022, ( -1), 833321572, 772194003, 987447155, ( -1), 433321052, 847023185, 774434555, 485662721, ( -1), 695757183, 276927253, ( -1), 278978627, 712287335, 897201284, ( -1), ( -1), 416516511, ( -1), ( -1), ( -1), 634594322, 737308485, 689879206, 115159795, 468576786, 953500134, 426065611, 816136700, 638842989, 796670983, 474446519, ( -1), 114038191, ( -1), ( -1), 681652283, 755994738, 955878593, ( -1), 317982252, 464358654, ( -1), 556918570, 680754832, 243395452, 612509709, ( -1), ( -1), ( -1), 995725100, ( -1), 971920776, 477967780, 141716396, 30489976, 914673548, 891667784, ( -1), 516639381, 999741889, 766768778, 524482727, 280280333, 425198783, 135102174, 315326286, 619933871, 975954515, 876193242, 446124312, 806092475, 300248468, 384121800, 47778775, ( -1), ( -1), 410580073, 411918439, ( -1), 583565780, 403318638, 485900456, 315348319, 388551712, ( -1), 280071197, ( -1), 110177744, 897882857, ( -1), ( -1), 123191897, ( -1), 231026948, ( -1), 25767294, 476088712, 969620743, 326914748, 219829014, ( -1), 721631206, 783345626, 860598876, 491102425, ( -1), ( -1), 976399964, ( -1), 294965897, 365824271, 190737746, 163987146, 777113360, 656098401, 728181123, 432205697, ( -1), 244837046, 17159608, 116095627, ( -1), 259294596, 880705286, 994918711, 526622118, ( -1), ( -1), ( -1), 498601104, ( -1), 366833033, 501504230, ( -1), 840203604, 406976126, ( -1), ( -1), 767907151, ( -1), 83207795, ( -1), ( -1), 727213677, ( -1), 459171575, 2591699, ( -1), 3657733, ( -1), 291411427, 744181493, 180409731, ( -1), ( -1), 514127630, 737061733, ( -1), 625220804, 965705819, ( -1), 858398657, 325302575, 197020255, 406652313, 263937172, ( -1), 419713570, 861261596, ( -1), 111950460, 469163571, ( -1), ( -1), 813346618, 146771623, ( -1), ( -1), 311788698, 106156820, 713776124, 349666937, 800057646, 364005978, 352519512, ( -1), 399755818, 453344845, 37261603, ( -1), 162817129, 171814858, 333628354, 727891434, 121107179, ( -1), 734611506, ( -1), ( -1), 286620588, ( -1), 533301452, 167774449, ( -1), ( -1), 202025236, 170687046, ( -1), 729422776, 387775330, ( -1), 760028463, 84364611, 840488523, 126649817, 160401943, ( -1), 443056465, 680129760, 7435875, 694096844, 550587356, 593563215, 221830055, ( -1), 873876619, 804893888, 606704522, 197086711, 607014566, 465948727, 357729744, ( -1), 957699911, 832063801, 255855669, 376927850, 347965083, 64916760, 533295829, 292753361, ( -1), 948085302, 307994727, ( -1), 573124588, ( -1), ( -1), 847454287, 100350748, ( -1), ( -1), ( -1), 160619535, 941478296, 596934750, ( -1), 831632958, 268726553, 947337728, 431768968, 854630558, 975274929, 881122182, 517471197, 606896924, 420049624, ( -1), ( -1), 788726000, 667121440, ( -1), 257324049, ( -1), ( -1), 830484221, ( -1), 397069442, 426945398, 881881545, 651733948, 437911461, ( -1), 877851065, 722557661, ( -1), ( -1), 98054794, 421321686, 741138954, ( -1), ( -1), 993448812, 18330843, 494638553, 640827138, 722738232, 377306680, 22244950, 901248107, 443153701, 913174983, 704224262, 384803911, ( -1), ( -1), 648323796, 155927954, 244126158, 92406908, 702027063, 453818446, 217035883, ( -1), ( -1), 811178337, 792252165, 562098133, ( -1), 773440167, 550247221, 610794420, 64718148, 379633050, 46154386, 903830302, 392794510, 200487944, ( -1), 946965867, 762608776, ( -1), ( -1), 845184748, 259866014, 196582986, 384394470, 373805698, ( -1), 114845452, ( -1), ( -1), 908024231, 185684520, 760991175, 219191721, ( -1), ( -1), 262874566, 153739764, 193185347, ( -1), ( -1), ( -1), 988410502, 60736130, 636712550, 65137447, 468877275, ( -1), ( -1), 607066096, 833561306, 551946, ( -1), ( -1), 613516934, ( -1), 326559745, 494675375, ( -1), 777473220, 716124497, 504330487, ( -1), ( -1), 759950745, ( -1), 215806557, 623432931, 350813440, 334509717, 849644554, ( -1), 713397193, 201460248, 238897784, ( -1), ( -1), 851191520, 713635239, 138012446, 612576898, ( -1), ( -1), 440436265, 126135536, 827216406, ( -1), 837442327, 311259819, 472736129, 134903942, 906195857, 481671844, 317600766, ( -1), ( -1), 499858690, ( -1), 853031716, 850895332, 480952766, ( -1), ( -1), 27413565, 397578311, ( -1), ( -1), 313072112, ( -1), 276797102, 127540141, 21658400, 141338898, ( -1), 547422798, 678505765, ( -1), 233371286, 473742163, 682122245, ( -1), 698141892, 649687400, 401863619, ( -1), ( -1), 895781468, ( -1), 417390167, 383676450, 883545568, 993444456, 30671786, 366061625, ( -1), 104712924, 796410286, 681137498, 122687131, 726350543, ( -1), 294575651, ( -1), 587622032, ( -1), ( -1), 509335722, ( -1), ( -1), 89341069, 829070440, 345385047, 537059906, ( -1), 309714334, ( -1), 746526770, 826059093, 804614835, 964985279, 52909615, 777896264, ( -1), 114988856, 164994158, 648075666, 873737276, 380812991, ( -1), 114548209, ( -1), 2150638, 637652308, 707583196, ( -1), 610317313, 341687876, 53781601, 876207682, 818129321, 190276999, 540400886, ( -1), 94151657, ( -1), 780059193, ( -1), 930100196, 798220910, 198628872, 21475015, 417047821, ( -1), 689096010, ( -1), 15111869, 614584487, 365478037, ( -1), 757123261, 232783705, 535024631, 116605017, 731469491, 286340318, 160163799, 448711151, 206904685, ( -1), 872702753, ( -1), 194516596, ( -1), ( -1), ( -1), ( -1), 331024176, 293439994, 133877987, 452736340, 918469091, 938681030, ( -1), 86698594, 534740062, 671805702, ( -1), ( -1), ( -1), 960231497, 1751242, ( -1), 44292198, ( -1), 183872447, ( -1), 937543031, ( -1), 699071567, ( -1), 592927888, 212519337, ( -1), ( -1), ( -1), ( -1), ( -1), 821662169, ( -1), 8929103, 945549463, 383112905, ( -1), 901978699, 84020009, 53658144, 390668140, ( -1), ( -1), 821080603, 650140780, 321002804, 816319124, ( -1), ( -1), 296081391, ( -1), ( -1), 854944000, 71479171, 221763847, ( -1), ( -1), 152046596, 190213222, 924692606, ( -1), 173360182, 391857483, ( -1), ( -1), 439558936, 285066313, ( -1), 854461694, 699719848, 418836016, ( -1), 313363639, 969287654, 103735540, 748295550, 926996453, 264708147, 823236465, 878521571, 18173051, ( -1), 435178842, ( -1), 450161514, ( -1), 388644374, 25753075, 222293059, 510551433, 92939927, 846917728, 16892947, 940742097, 534388397, 125291615, 467995828, 988230968, ( -1), 405436734, 791521310, ( -1), 117572208, ( -1), 42887075, 541978735, ( -1), ( -1), 267149906, 217524410, ( -1), 402200840, ( -1), 748569406, 65153809, 647011079, 819042417, 813319741, 487890335, ( -1), ( -1), 160617154, 953383537, 838679863, 290590421, 110032751, ( -1), ( -1), 360153823, 869523213, 374464503, 359479879, 48233462, 80772641, ( -1), 692737964, 953705891, ( -1), ( -1), 416140935, ( -1), ( -1), ( -1), 654790733, 418435151, ( -1), 805409241, 26037212, 194819933, 336307300, 910781723, 44309747, 678897746, 39224352, ( -1), ( -1), 981175760, 153269362, ( -1), 219376859, 885123995, 216326067, ( -1), 97786970, 691467247, ( -1), 18872627, ( -1), 343661794, 739385753, 114149911, ( -1), 41134106, 936738079, 267772106, 871404812, ( -1), 593403808, 133643919, 209010699, 759298466, ( -1), 682818174, 464742173, 583418581, 891585802, ( -1), 565436887, ( -1), 208522669, ( -1), ( -1), 142998439, 923378397, 395742547, 827001123, 847421381, 174474393, 413793391, 465867187, 218962008, 781589709, 289241603, ( -1), 492703546, 785909424, 463671068, 553302789, 581071267, 61783679, 974472262, 699656499, 224349302, 365757, ( -1), ( -1), 667873782, 477898168, 364105410, 687262180, 356569430, 392450661, 180179525, ( -1), 835511621, 859672236, ( -1), 913333737, ( -1), 130340236, 520145165, 950548733, 31518575, 442565847, ( -1), 515564919, ( -1), ( -1), 142650301, 49800921, 654391189, ( -1), ( -1), 612466783, ( -1), 438596998, 426968207, 893064256, 150974391, 603305570, 143286754, 748540050, ( -1), 636779591, 101715336, 107095520, 93811127, 535375903, 784524231, 407818347, 19038511, 242525797, 482104423, 415232317, ( -1), 22432105, ( -1), 422834456, 425777599, ( -1), ( -1), ( -1), 34565642, 596189405, 567208067, ( -1), 790766715, 273039902, ( -1), 164158339, 515088018, ( -1), 156800338, 87943291, 577607421, ( -1), 295078388, 366362785, 81564659, 802173640, ( -1), 751808525, 502988380, 182717927, 234706444, 52622182, 225789811, ( -1), 765163134, 41243972, 678985012, 650537085, 109943717, 933170236, 542046341, ( -1), 336898408, 389444856, 482739833, 349436650, ( -1), 68274828, 860065919, 158737956, 351585981, 294428804, 156558563, 830788136, 471328555, ( -1), ( -1), 435168961, 824199328, ( -1), 118282344, ( -1), 563707955, 640730630, ( -1), 192111893, 964270389, 206617179, 507437246, ( -1), 500861117, 356463336, ( -1), 689095933, 74340654, 10878058, 75157637, 623307525, 144727026, 159604417, 559214236, 157143176, 31607333, 294216782, 691631629, 972455378, 191471840, ( -1), 19689528, 211862974, 958462755, ( -1), 462521807, 685244610, 921081133, ( -1), ( -1), ( -1), 225054173, 574518190, 288122090, 93181448, ( -1), 865885085, 23174741, 777597562, 971509955, ( -1), 764297910, 78565975, 631399706, 418146276, ( -1), 664814978, 178799977, ( -1), 79561999, 60037124, ( -1), 581844887, ( -1), 799543680, 458600585, ( -1), 536189291, 578162300, ( -1), 215110007, 539480290, 437200760, ( -1), 172242628, 549519657, 947422341, ( -1), 808124818, ( -1), 135765023, ( -1), 817350233, ( -1), 980089301, 50519711, 163050350, 858977562, ( -1), 220498136, ( -1), ( -1), ( -1), 19700773, 421547624, ( -1), ( -1), 786124038, 723903751, 82274312, ( -1), 310425555, 487249699, ( -1), 62502329, 264819613, 433979224, ( -1), ( -1), 573745288, ( -1), 222055633, 55255093, 643426883, 536651257, 801751815, 320434638, 877936506, 334602609, 632698225, 822329702, 361907518, ( -1), 174346064, 145381605, ( -1), 453426905, 553130062, 70152743, 537118786, ( -1), 535229724, ( -1), 527620732, ( -1), 116891868, ( -1), 487734601, 582192521, 991369423, ( -1), ( -1), 715282240, 542950666, 38549177, 844370760, 392292324, 425522368, 356238119, 804874646, 703571219, ( -1), 159221313, 620465900, 698128944, ( -1), 524589093, ( -1), 561164520, 505676178, 926974746, ( -1), ( -1), 306793264, 287019827, 466408145, 384384309, 160889346, 66039897, 767816703, ( -1), 855372954, ( -1), 85458626, 568396566, 134085224, 142819362, 335817622, 143492085, ( -1), 578317814, ( -1), ( -1), 402242511, 499994706, 405716621, 331078808, 522165193, 260960604, ( -1), 758047254, 839413309, ( -1), 24000425, 813173455, ( -1), 416394500, ( -1), 151337670, 555671091, 86480846, ( -1), ( -1), 772794098, 209223541, 780727834, 246989068, ( -1), ( -1), 986503740, 262250224, ( -1), 637551699, ( -1), 294228319, 66321536, 160184013, ( -1), 137849751, ( -1), 622528459, 606616070, 760996378, 929758180, ( -1), 442471514, 33665553, 891260554, 880613429, 229045059, 615100821, ( -1), 567327371, ( -1), ( -1), ( -1), ( -1), 655246014, ( -1), 926818598, 154465306, 306430209, 942413323, 444417463, 830268535, 165561550, 910270369, 480859336, 829725364, 613749031, ( -1), 365261639, 542591205, 70707063, ( -1), ( -1), ( -1), 318106357, 135925138, 870889376, 51047007, ( -1), 400387985, ( -1), 666306981, 789165389, ( -1), ( -1), 6877794, 261461163, 521991570, 457168364, ( -1), 153074025, 998165436, 958278484, 157761677, 207972705, 292229770, 722292283, 478033947, 765371978, 752155712, ( -1), 117732171, 100989150, 957707975, 522274864, 573355555, 10745505, 404624903, ( -1), ( -1), 67164907, 323156719, 188115176, 864381952, 89354707, 712031692, 697475312, ( -1), ( -1), ( -1), 428375071, ( -1), 966571711, ( -1), 510052308, ( -1), 738747275, 271817687, ( -1), 152652520, 737920702, 542524563, 69607645, ( -1), 997936402, 934335422, 640777013, 376141774, 872879517, ( -1), 444228182, 228432340, ( -1), 963690555, 847896670, 538989332, 302538504, 714115345, 245486327, 770799699, 44791395, ( -1), 558566533, ( -1), ( -1), 241338652, 860721928, 184138150, 888511826, 909967362, 987413800, 252648143, 903132087, 239780374, 389318978, 636781548, 296642746, ( -1), ( -1), ( -1), ( -1), 965055953, 369679809, 966863722, ( -1), ( -1), 938114039, ( -1), 825119637, ( -1), ( -1), ( -1), 130999126, 724212101, ( -1), 684154370, 573707390, 111076777, ( -1), 588437989, ( -1), ( -1), ( -1), 805005239, ( -1), ( -1), 858495331, 97999556, 707580573, 535607507, ( -1), 180728471, 839724663, ( -1), ( -1), 138946740, 43045028, 216535244, 644313408, ( -1), 638949696, ( -1), 678257285, ( -1), 835936594, 774034704, ( -1), ( -1), 354744185, ( -1), ( -1), ( -1), 736885668, ( -1), 512848704, 372467001, 338958891, 527536898, ( -1), 918060724, 982497389, ( -1), 410530053, 462925885, 505889056, 789215557, 123866538, 386230629, 339802659, 230083762, 161883153, 32566786, 681162770, 391691906, 158748643, 918505594, 965154482, ( -1), ( -1), ( -1), ( -1), ( -1), 440573339, 260026499, ( -1), 59759322, 764754077, 769289697, ( -1), 102588593, 835734643, 862764806, 103394397, 96419812, ( -1), 303748446, 731629470, 219090197, 732544546, 777076799, ( -1), ( -1), 627899054, ( -1), 159735241, ( -1), ( -1), ( -1), 174191724, 635393284, 425046357, 860221062, ( -1), 872269269, 104249830, 437743290, 789653028, 228598169, 299981739, 867525044, 196146647, 371321434, ( -1), 502127458, 89276174, 62504637, 190292789, 489889705, ( -1), ( -1), 677738392, 384206104, 461030266, 139710767, ( -1), 570731165, 465286054, ( -1), 588521911, 463808978, 639287797, 321634768, 332544627, ( -1), 61897863, ( -1), 502545759, ( -1), ( -1), ( -1), ( -1), 598480694, 4708536, 827603898, ( -1), 221375725, 822890162, 127110201, ( -1), ( -1), 953177738, ( -1), 603658812, 327781661, 852451636, 800197965, 97211373, 643052371, 284704969, 755783820, 577241678, 623327260, 290393561, 22995452, 575385939, 2345983, 986893804, ( -1), 660829316, 967901360, ( -1), ( -1), ( -1), 838102228, 318162582, 502209474, ( -1), ( -1), ( -1), 788121324, 436393234, ( -1), 688117306, 54518182, 379337034, 199137599, 229840725, ( -1), 843740758, 207216622, ( -1), ( -1), 305902419, 638438997, 908030803, ( -1), 750835755, ( -1), 585179382, ( -1), 228379196, ( -1), 861128605, 178154038, 250516769, 24090821, 236873495, 273682088, 234572929, ( -1), 427154775, 874849851, 354543710, 715356593, 133158395, 719720769, 90287212, 964970564, ( -1), 864961306, 213631112, 63513449, ( -1), 78500773, 213422999, ( -1), 755292102, 729689431, 146214906, ( -1), 230742122, 729891216, 221204503, 122904683, 164410541, ( -1), ( -1), 736832298, 265196636, 640841949, 85690152, 865677179, 967027407, ( -1), ( -1), 584329116, 439772305, 890358200, 548262696, 503670716, 619601083, 103173964, 362632922, 41048880, 994838215, 51236200, 185673073, 263939784, 27570746, 845551369, 316695122, 467473307, 545264337, 327245834, 518852098, ( -1), 678673244, 871823102, 680796931, ( -1), 872696754, 958170079, 518507145, 652972990, 920404816, ( -1), 335473507, 875806613, 401463768, 541931118, 744596166, ( -1), 331442275, 975196269, 334644068, ( -1), 208089016, ( -1), 299149588, 894934478, 477293463, ( -1), 873894900, 378974204, 306291, ( -1), ( -1), ( -1), 950065353, 271057151, 984378631, 174118009, 60638398, 948408426, 548349944, ( -1), 596961623, 809347821, 994120210, ( -1), ( -1), 333803016, 837833405, 361812796, 558622035, ( -1), ( -1), ( -1), 787235114, 461337274, 553061038, ( -1), ( -1), 641406529, 347352706, ( -1), 242579728, ( -1), 310593182, 524460457, 439717576, 825305667, 727312420, 246418211, 288201712, 111590704, ( -1), 784558672, ( -1), ( -1), 467832021, 110767352, 96714208, ( -1), 709721606, 298748917, ( -1), 627859350, 232051863, ( -1), 980113438, ( -1), 598025275, 625548330, ( -1), 741298954, 458625431, 150144367, 58172982, 760066786, ( -1), ( -1), 286608477, 241664380, 109367722, 783293729, 73022549, ( -1), 775772568, ( -1), 435753948, 756302760, 493501196, 278823436, 867585751, 673065385, 90973201, 645602143, 116208498, 351557197, 549166059, ( -1), 439360936, ( -1), 727171134, 518361075, 448604423, 722669633, 822717334, ( -1), 890859805, 203803848, 8399076, 627327144, ( -1), 726683994, 180008299, 724241080, 564247184, 61060117, ( -1), 643738281, 432617926, 790066245, 663868439, ( -1), 99649449, 796954928, 330139274, ( -1), 31780299, ( -1), 324021268, 728630311, ( -1), ( -1), 912989305, ( -1), 946174224, 689722652, ( -1), 865217152, 25356543, 24697864, 221054355, 417528650, 177926958, 97256924, 982197509, 578713427, ( -1), 16825806, ( -1), 25690012, ( -1), ( -1), ( -1), 821585921, 522308077, 107135029, 330377182, ( -1), 540825828, ( -1), 726168168, ( -1), 885793743, 251707101, ( -1), 753673122, ( -1), 856880845, 348775410, 200460833, 567190977, 65697971, ( -1), 134150336, ( -1), ( -1), 608285411, 413070249, 588363223, 499347261, 969112956, 416364943, 181794354, ( -1), ( -1), 634457086, ( -1), ( -1), ( -1), 324437269, 251571892, ( -1), 83188018, 640967550, ( -1), 238607635, 543279689, 844814877, 508762784, 677497665, 527797973, 993005305, 233811531, ( -1), 128417211, 97353821, ( -1), 505283519, 697148128, ( -1), 232792531, 415779601, 961186661, ( -1), ( -1), ( -1), 921545738, ( -1), 232076380, 743206062, 438899739, 308016937, 988327848, 704576499, 840002316, 238662101, ( -1), 256353717, ( -1), ( -1), 302962533, 799408142, 74933168, ( -1), 112018537, 483292538, 3270151, 626779593, ( -1), 551228669, 630107874, 807263161, 679494731, 155657232, 869319457, 469028291, 91448573, 323110451, 339206384, 680795354, ( -1), ( -1), 708798467, 827139767, 710517816, 434850397, 825549920, ( -1), 968406822, 213337985, 737225996, 988121171, ( -1), 88428823, ( -1), ( -1), ( -1), 398247355, ( -1), 10848647, 918700036, 990877773, 167401343, 181302107, 160953042, 179693630, 180814436, 425980731, ( -1), 292974815, 724661837, 819727300, 276888585, 558595079, 310500625, ( -1), 38770376, ( -1), 288038094, 944301534, 9129255, ( -1), 661244070, ( -1), 459616541, ( -1), ( -1), ( -1), 396476235, ( -1), ( -1), ( -1), 808495131, 16951975, ( -1), 115088320, ( -1), ( -1), 29016060, 771687271, 967591524, ( -1), ( -1), ( -1), 727423542, 723661105, 700211755, 79508899, ( -1), ( -1), 335932232, ( -1), 832151156, 180414196, 621068692, 558748273, ( -1), ( -1), 512713, 462318044, ( -1), ( -1), 148176891, 622817172, 267457896, 543769653, 306619062, 571126953, ( -1), 163261392, 689040585, 457039479, 872997051, 683518631, 239708795, ( -1), 406450654, ( -1), ( -1), 746839398, 633715513, 909550284, 443867513, 356543163, 293262274, 715238104, 25990264, 274926504, 455307225, ( -1), 38952118, 30607747, ( -1), 358459497, 917798954, ( -1), ( -1), 948133264, 79520310, ( -1), 970766556, 662730185, 567215519, 27004179, ( -1), 577008404, 980274297, 322099234, 272505434, ( -1), 272288380, 351360237, 899171760, 653474762, 212838889, 953469480, 874765796, 290725123, ( -1), ( -1), ( -1), 270418190, ( -1), 36181165, 753386607, 971383603, 666520339, 480886267, ( -1), 301664428, 703409020, 867436057, 372998158, 530705208, 121337439, 365248466, ( -1), ( -1), 894426511, 628754171, 237374673, 53579423, 435218061, 576339386, ( -1), 56766280, ( -1), 288958358, 675369052, ( -1), 689162810, 845258364, 398720602, 526726304, 40249467, 929552215, 668711992, ( -1), 67970070, 793517167, ( -1), ( -1), 686236526, 622315115, 816205508, 21215447, ( -1), 214932050, 413888569, 394090290, ( -1), 352033851, 287280850, ( -1), 430177585, ( -1), ( -1), ( -1), 680985822, 873761603, 758110, 674656812, 193545604, ( -1), ( -1), ( -1), ( -1), ( -1), 937419695, 477306014, 623032258, ( -1), 693757669, 392633524, ( -1), 868426650, 575983693, 157311875, ( -1), 35242766, 851864063, ( -1), 914065053, 475006381, 774850365, 699875468, 523652962, 471988806, ( -1), 540561149, 21337960, 291790591, 381400181, 778364213, 326580242, ( -1), 943778236, ( -1), ( -1), 222957608, ( -1), 302198815, 382272657, 202446815, 762965730, 42961190, ( -1), ( -1), ( -1), 726683670, ( -1), 124328354, 63595248, 446948840, 181898966, ( -1), 395292448, ( -1), 981816436, 512136733, ( -1), 269267023, ( -1), 121604291, 276784858, 930119559, 834949772, ( -1), ( -1), 465103037, 240712292, ( -1), 382140608, 523538197, 430743247, 262972680, 197747525, ( -1), 774335807, ( -1), 348273913, 110179254, 98334654, 307165339, ( -1), ( -1), 207307337, ( -1), 460155619, 108631616, 49924328, 152163843, ( -1), 918794335, 129182880, 954150944, 583643146, 660731953, 253075133, 303425570, 2238419, ( -1), 910116281, ( -1), ( -1), 593843747, ( -1), 838562166, 41648577, ( -1), 327174535, ( -1), ( -1), 708979043, 967830515, 392253025, 436753624, 762820978, 55948885, ( -1), 703742864, ( -1), 716156725, ( -1), 41249995, 132895548, 379654088, ( -1), 142183297, ( -1), ( -1), 417655374, 647752129, 703644530, ( -1), 475546898, 468875955, 441980811, 846661928, ( -1), 867169249, 588291575, ( -1), ( -1), 208989613, 521703168, ( -1), 979017440, 84621710, 132618294, 251487010, 75932319, ( -1), ( -1), ( -1), 297507564, 385846694, ( -1), 505063147, ( -1), 737266562, 137731186, ( -1), ( -1), 866152321, 838706893, 722436022, ( -1), 981176485, 148717860, ( -1), 140323096, ( -1), ( -1), 280136868, 894220433, 76582585, 976051366, 353849715, 209865745, ( -1), 869819496, ( -1), 343074155, 395414325, 131566268, ( -1), 557151473, 12421289, ( -1), ( -1), 599315997, 310187061, 103140794, 328411340, 167744587, ( -1), ( -1), 529961521, 454460879, 917541038, 743026169, 901903479, 42859910, ( -1), ( -1), 999073628, 807419098, 614568379, ( -1), ( -1), 589201203, ( -1), 462095000, 110923902, 557905763, 582108589, 456373093, 790096269, 219674500, 28214619, 99531127, 646019522, ( -1), 664096516, 830657100, 180182806, 154179001, 258000922, 693863071, ( -1), 217745300, 631208855, 273534176, ( -1), 325591037, ( -1), 306538006, ( -1), 168588894, ( -1), ( -1), 54635700, 175984531, 731661151, 689363491, 91496846, 369953719, 312635683, ( -1), 733785036, 770823585, 123355375, 644540913, 912646820, 44268253, 97228974, 624020855, 464306374, 136807469, 866864895, 834844046, 690092260, 754033417, 633532697, ( -1), ( -1), 431441542, 145066561, 578181840, 149035025, 860990690, 945676176, 501972486, ( -1), 565002329, 841643389, 771163396, 636605723, ( -1), ( -1), 903408092, 727308185, ( -1), 464375453, 845392778, 867853973, ( -1), 631253666, ( -1), 664193108, 559936082, ( -1), ( -1), 605970206, ( -1), 729306187, ( -1), 462637785, 2956315, 54249352, ( -1), 41983886, 69618021, 510836581, 376067470, 775435897, ( -1), 690125445, 603090169, 615301392, 365098655, ( -1), 713052231, 658407773, ( -1), 422164791, 480955544, 8577142, 606591113, 516501153, 93412335, 587542515, 335256513, 361896616, ( -1), 760592013, 773444613, 982900115, ( -1), ( -1), ( -1), 862801741, 732584010, ( -1), 258991786, ( -1), ( -1), 479413416, ( -1), ( -1), 216963521, 991538963, 294152941, 590529978, 667273284, 991601554, 320732535, ( -1), ( -1), ( -1), 507035629, 952660209, ( -1), 838177876, ( -1), ( -1), ( -1), 463749582, 858281761, 710157248, ( -1), 435856846, 268567190, ( -1), 699711720, ( -1), ( -1), 875960077, 790191071, 911565463, 231435986, ( -1), 372513530, ( -1), 410893453, ( -1), ( -1), ( -1), 613753934, ( -1), 949074001, 897180963, 979167420, 877697028, 92602057, 639330916, ( -1), 83156592, 55187277, 432800531, 267781136, 989786883, 638955975, 62015310, 995535386, 908428491, 377239502, ( -1), ( -1), 664174719, 700368165, 189177423, 574901644, ( -1), 124842081, ( -1), ( -1), 159892373, 195855339, ( -1), 672518756, ( -1), 491116790, ( -1), 997315260, 212170227, 101536324, 127548040, 789428427, 700443789, ( -1), 451915354, ( -1), 191302333, ( -1), 482743492, ( -1), 758964972, 411122560, ( -1), 19802074, 165425604, 764293704, 947450059, ( -1), ( -1), 629984538, ( -1), 461753266, 284951888, 442085637, ( -1), 796072028, 223442652, ( -1), 426490873, 134152611, ( -1), 197832771, 424579068, 884326316, 880078422, 850032793, 193431239, ( -1), 948803343, 116454190, 746711751, 86387921, ( -1), 667852482, 975743012, ( -1), 554534933, 175774337, 914509774, 523637080, 93516167, 28289662, 153125224, 625953851, ( -1), 528313625, 540653241, 347028655, ( -1), 767816788, 869312033, ( -1), 152821352, ( -1), 721803344, 146625980, 195225056, ( -1), 534334972, 127653089, 251628795, 620935824, 169494224, ( -1), 79555215, ( -1), ( -1), 343585562, ( -1), 418492664, 561141101, ( -1), 63000272, 98799198, 436181258, ( -1), 707768967, 211699092, ( -1), 280617109, 116097869, ( -1), 586825849, ( -1), 788479514, 313293975, 80017093, ( -1), 893810949, 128531766, 237505495, ( -1), 626511139, 593773591, ( -1), ( -1), 13875216, 898652827, 298547542, ( -1), 17123832, 966261273, ( -1), ( -1), 73636061, ( -1), ( -1), 546781137, 749955519, 33994520, 461293466, 823527884, 116221542, 147191736, 77715027, 598311463, 677593880, ( -1), 683337654, 32313539, 694262233, 150471383, 133472979, 782546172, 662887003, 625816103, 299577528, 365445983, 566246570, 782647453, 52449379, 787144352, 33814965, 412953277, ( -1), 406724235, 379917481, 352717538, 578939443, 635204539, ( -1), ( -1), 426397608, 402680487, 752212516, 484533418, 796678004, ( -1), 784161045, ( -1), 421022404, ( -1), 266993608, ( -1), 442740347, ( -1), 222970156, 663816174, ( -1), 78898203, 421861950, ( -1), 398084343, 836036026, 14896470, 579999781, 788650686, ( -1), 372707445, ( -1), 602770210, ( -1), 413924313, ( -1), 585094566, ( -1), 516970260, 17428697, 719693876, 737786098, 163812046, 626233403, 605656101, 241754374, ( -1), ( -1), ( -1), ( -1), 433645601, 836225010, ( -1), 970050529, 710709966, 818969860, 215758767, 974423372, 930710173, 139161908, ( -1), 258746668, 581259969, 788291036, 715100639, ( -1), 778304124, 359217158, 176625232, ( -1), 80428451, 824858269, 606824034, 277495980, 207069852, 659777180, 690137523, 887936303, 770566107, 335901889, ( -1), 92263119, 834374174, 839685307, 279054409, 278301535, 732955672, 308096230, 982287876, 754726085, 977890396, 255663596, 821381356, 311419799, ( -1), 427298065, 270048706, 189262900, 200536104, 854500001, 198091262, 252441052, 14556688, 332782235, 870565847, ( -1), 651736185, ( -1), 193838091, ( -1), ( -1), 616641431, 831943242, 384918075, 746878650, ( -1), 756766888, 279867000, 667589919, 599339631, ( -1), 449990870, ( -1), 817050396, 152842103, 793649446, ( -1), 910188340, ( -1), ( -1), 501728968, 494883144, ( -1), 257194147, 456147745, 559098608, 271859571, 224398397, 569103097, 146243203, 867788168, 256900866, ( -1), 555266856, 346315549, ( -1), 70251034, ( -1), 647059481, 44626447, 398260940, 235427898, 114514646, 509758015, 914149342, 730794263, 859352051, 526253596, 110288341, ( -1), 432214473, 321217377, ( -1), 113842130, 368833957, 95820219, ( -1), 182307896, 695341360, 632245727, ( -1), 603490048, 877259276, 377358965, 254546819, 115889402, 369487201, ( -1), 188538847, ( -1), ( -1), 170585460, 310047116, 977577091, 678823362, ( -1), 397344081, 487204345, 422930612, 329376107, ( -1), ( -1), 845799656, ( -1), 377353470, 704196439, 493849473, ( -1), ( -1), 161245688, 917010866, 259923575, 109606258, 879334224, ( -1), 520302372, 679322139, 707649365, 760188000, ( -1), 706638917, ( -1), 821071433, 456938147, 526116555, 486041905, 556258137, ( -1), 739485994, 735926610, ( -1), 764674625, 966623187, ( -1), ( -1), 338747469, 338475360, 124232710, 129170910, 387076791, 832826392, ( -1), 127598806, 230675055, 829609289, 802701939, 129239091, ( -1), ( -1), 478830277, 756040151, ( -1), ( -1), 782172786, ( -1), 778104129, ( -1), 687647200, 340592984, 517638911, 785302853, 29927537, 773109608, 229591898, 289763899, 702528647, ( -1), 783878844, 416000532, 694004689, ( -1), 634057402, 443221304, 970493137, 593196349, ( -1), 655972539, ( -1), 681120529, ( -1), 537898027, ( -1), 628680371, 568795434, 145366923, 292207469, 155807532, 866370912, 885378776, 885462450, ( -1), 786325800, ( -1), 552132383, 577017482, ( -1), 401314260, 75962207, ( -1), 756422518, ( -1), ( -1), 171309230, 434709196, 525365302, ( -1), ( -1), 858108854, 560943087, 130302445, ( -1), 848104925, 764653667, 537657431, 339259819, 659130258, 109746326, 82265494, ( -1), 645337453, 713539406, 594496969, 890774408, ( -1), 738554125, 489526809, 729312381, 715478399, 736647772, ( -1), 469766129, 598693175, 755278999, 795174431, ( -1), 773993763, 404716346, ( -1), 461577789, 190222405, ( -1), ( -1), 282965231, 297443999, 309398707, 22076074, 703814441, 733334063, 432620501, 237515892, 331927924, 147130761, 75150345, 387840198, 406395269, ( -1), 524018604, 429782032, 678700295, 831613889, ( -1), ( -1), 286935794, ( -1), 616499582, 74414671, 371423578, 121494357, 345895137, ( -1), ( -1), 646002444, 399669476, 31049232, ( -1), 421415935, 974434973, 59205259, 779011263, 199327904, ( -1), 539636530, 831011658, ( -1), 342507168, 226775316, ( -1), 812219058, 643847931, 816384536, 78432033, 844989594, 794947376, 790821316, ( -1), ( -1), 186308345, 310601369, 988540086, 50814341, ( -1), 389809903, 544650365, 267320378, 738602943, 547093047, 616871541, 394956359, 890643349, 187886384, 255086191, ( -1), 517731274, 727791661, ( -1), 732560440, 881686992, ( -1), 788431918, 827291879, 462239253, 315780579, ( -1), 193681275, 326145709, 858343425, ( -1), 542834925, ( -1), 374541686, 821620711, 691842021, ( -1), ( -1), 402857137, 51066810, ( -1), 886539972, ( -1), ( -1), 121621189, 770748452, 604127283, 32375581, 270989330, 919432986, 83173848, ( -1), ( -1), ( -1), 884905439, 846033840, ( -1), ( -1), ( -1), 858971258, 89637199, 445247917, 180593315, ( -1), ( -1), 630147843, 751485536, ( -1), 707732829, 987056142, 90020462, 235122887, 215686637, 627244768, 803746545, ( -1), ( -1), 993235833, 565976953, 148295284, ( -1), ( -1), ( -1), 947328128, 147671878, 939850769, 824532188, 287597363, 866415789, 706099146, 522131637, 362385589, 365460642, 12376860, ( -1), ( -1), 643349638, 336065612, 212665365, 194199937, 713471444, 906129469, ( -1), ( -1), ( -1), 483074696, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 490740040, ( -1), ( -1), 641246427, 468193776, ( -1), 281389450, 356844285, ( -1), 440219690, ( -1), ( -1), ( -1), ( -1), 588600913, 143428015, 461803555, ( -1), ( -1), 444656558, 847881136, ( -1), 229211921, 176194996, 404534712, 709783781, 645460312, ( -1), ( -1), 450933600, 808291224, 628673573, ( -1), ( -1), ( -1), 129375066, 734976804, 3965501, ( -1), 449007728, ( -1), ( -1), ( -1), ( -1), 247112439, 63035503, ( -1), 193727724, 147478259, 573791933, ( -1), 382428927, 582225875, ( -1), ( -1), ( -1), 182649276, 269453233, 959106366, 871155771, 141539616, 777230683, ( -1), 763754562, 247158145, 840036272, 765204264, 184039521, 488227027, 242735046, ( -1), ( -1), ( -1), 285157793, 97449194, 367202548, 25523727, 964685862, 410263062, 488891020, 986280569, 449340238, 95654328, 804244805, 723083469, ( -1), 201184180, 82543920, 595815520, 699689736, ( -1), ( -1), 693819108, ( -1), 732015412, 67242707, ( -1), 632089130, 623452634, ( -1), 438416395, 997391603, ( -1), 253319552, 561817959, ( -1), 784343066, ( -1), 461275124, ( -1), 744810095, 870859371, ( -1), ( -1), 522604355, ( -1), 797174858, 601058909, 971897104, 186514530, ( -1), 748991310, 730546000, ( -1), 280709506, 353709263, ( -1), ( -1), ( -1), 135642010, ( -1), 464466308, 811895772, ( -1), 280387174, 902691058, 82213281, ( -1), ( -1), ( -1), ( -1), 642923975, 937381810, 28510053, 571296910, 687887750, 975720905, 131789166, 32552569, ( -1), 314136042, 395850733, 862090200, 989342901, 404392016, 475721707, 644416200, ( -1), 853850570, ( -1), 443402806, 902585985, 928303016, 232028540, 898961029, 434036788, 51168427, ( -1), 734001831, 127921873, ( -1), ( -1), 875158671, 712783642, 13829380, ( -1), 891268649, 554868400, 787054814, ( -1), 825704957, 833596948, 8509857, 910438890, 532029569, 175105807, ( -1), ( -1), 659063291, 192839041, 801687086, ( -1), 643599713, 960431300, 703949569, ( -1), 323911666, ( -1), 263868850, 488252194, 797779853, 929122522, 576361464, ( -1), 522119981, 832034405, ( -1), ( -1), ( -1), 394032134, ( -1), 120010189, ( -1), 27953598, 755746228, 248301973, 378254704, 719670919, 153504371, ( -1), ( -1), ( -1), 907257693, 5147600, 478515443, ( -1), 637714879, ( -1), 293611969, ( -1), ( -1), 725843632, 862432331, 139199859, 153464140, 309120947, 724957026, 73321996, 43116793, 823690342, 306364189, 806820328, ( -1), 537031371, ( -1), 908457597, 717568254, ( -1), 70310884, 274169722, 359619904, ( -1), 609351154, 455562862, 683861506, 507915022, 754677576, 809368002, ( -1), 300948841, ( -1), 816010207, ( -1), 505643279, 84792482, ( -1), ( -1), 226906132, 126706112, 932303965, 699070816, 841548378, 713664327, ( -1), ( -1), ( -1), 867620008, 950205717, 182551002, 73003963, 611886789, 475668368, 352615576, 541603443, 622304604, 754289918, 668016808, ( -1), 776073465, 170517779, ( -1), 363966154, 246793888, 638096198, 981567494, 931360907, ( -1), ( -1), ( -1), ( -1), 674523888, 312397108, ( -1), 205814732, 89262033, 852375129, 579506335, 507206310, 987469712, 620146891, 87626224, 482693402, ( -1), 87279622, 246693584, 258304565, 676972645, 594905824, 622363992, 24226608, ( -1), 778175767, 970402849, 449965003, 39381836, 215328714, ( -1), 965809329, ( -1), 725064517, ( -1), ( -1), 646707625, ( -1), 436521416, 766848111, 125339065, 912689790, 530938647, 984066797, 868128791, ( -1), ( -1), ( -1), ( -1), 533767123, 394061914, 852010653, 615183357, 282448581, ( -1), 30080761, 772896938, 278274226, 353696196, 516290460, 906842172, 209845722, ( -1), 307648064, 112353928, 221952650, 45890610, 473566502, 756233286, ( -1), 784730078, 750835118, ( -1), ( -1), 390552538, ( -1), 471954423, 998736389, 311063020, 324742557, 845862708, 723375125, 157284185, ( -1), 180533482, 480559224, ( -1), 641149873, ( -1), 202017248, ( -1), 11916883, ( -1), 13384732, 166186152, ( -1), 174581675, ( -1), ( -1), ( -1), 260598372, 560271076, ( -1), ( -1), 957567155, 46405379, 707106773, 445679143, 390116133, ( -1), 956722050, ( -1), ( -1), 377270371, 988173502, 892150854, 507479960, 667413199, 415795627, ( -1), 374857776, 933622057, 287849412, 35201718, 218362635, 987821204, 117031130, 462494076, 839319082, ( -1), 501137089, 330292259, ( -1), 37787314, ( -1), 716763424, ( -1), 450976471, 989726680, 511360485, ( -1), ( -1), ( -1), 717199402, 450493647, ( -1), 905762036, 89884435, ( -1), ( -1), 464437063, ( -1), ( -1), 349503986, 111094077, 31469796, 561132040, 605828738, 190817476, ( -1), 49026563, 46667146, ( -1), 809190393, 345766355, 468953619, ( -1), 354485508, 293677057, 542401988, 955120369, 828541677, 785582272, 659847480, 270935168, 65788699, ( -1), ( -1), 560232878, ( -1), 562577693, ( -1), 331598404, 345618333, 629016401, 640239123, 935855968, ( -1), 582946892, 30989780, ( -1), 803967233, 914406420, 880146040, ( -1), 32949389, 712152468, ( -1), 228323086, ( -1), 981649516, 741995418, 34186512, ( -1), 119705912, 694498678, 480227719, 45771273, ( -1), 864971912, 258803115, 174415867, 580149079, ( -1), 844123177, 134404114, ( -1), 593886500, 990296143, 297574705, 488957922, ( -1), 875137875, 400876266, ( -1), 674880806, 870183587, 112907483, 609865937, 326233732, ( -1), ( -1), ( -1), ( -1), ( -1), 677763505, 503373802, ( -1), 131482673, 706643129, ( -1), 479708068, 125420809, 576332172, 821457580, 841125487, ( -1), 114144225, 664495231, ( -1), 729311710, 730072074, 415376847, 765745414, ( -1), ( -1), ( -1), ( -1), ( -1), 379601654, 180087065, 250539668, 656964533, ( -1), 212609954, 346000286, ( -1), 506274169, ( -1), 759408697, 439669394, 419839699, 678220734, 700095906, 69950485, ( -1), ( -1), ( -1), 118978591, 541855803, ( -1), ( -1), 598746916, 725099686, 494094041, 89516056, 345198640, ( -1), 359387811, 191361422, 39269158, ( -1), ( -1), 175851914, 779872669, ( -1), 161790418, ( -1), 163972041, 392470179, ( -1), ( -1), 129203742, 991541208, 990544482, 230778877, 546954608, ( -1), 692733330, 870213046, 103409574, ( -1), 324586256, 482000674, 925681948, 309733934, 762834436, ( -1), 812647157, 688085839, 460780112, 451940673, 229413932, 923097620, 563500679, ( -1), 441948714, 679371673, 157379985, 673695398, 856587068, ( -1), ( -1), ( -1), ( -1), 655676756, ( -1), 406681252, ( -1), 382844547, 818606051, 372976367, 101036242, 7647236, 597451484, 140087186, 565457452, 617613031, 502580478, ( -1), ( -1), 5905486, ( -1), ( -1), 284874254, ( -1), 420829361, 950263295, ( -1), 294644622, 636696096, ( -1), 956443913, 425787382, ( -1), 912308014, 863265524, 168844693, ( -1), 303191985, 368115692, 802434506, ( -1), 945320501, 171489579, 399494279, 373320253, 685027556, ( -1), 50981057, 567307070, 951564199, ( -1), 571939595, 895000606, 416088689, ( -1), 543052998, ( -1), 950172376, ( -1), 16408170, ( -1), ( -1), ( -1), ( -1), 561744727, 200463959, 747703694, 485192463, 259790631, ( -1), 647482559, 255312992, 896917085, 484915322, 368792258, 709512623, 276262029, 799122134, ( -1), ( -1), 702852697, 765833739, ( -1), 415916550, 969705978, ( -1), 917160865, 333327742, 527795548, 844212490, ( -1), 575019819, 709883162, 857932747, ( -1), 781324517, 746195737, 24556102, 50822510, 754684505, 846114305, 260704859, 978025573, 932121580, ( -1), 52916069, ( -1), ( -1), 713588836, 16444700, 562546045, 789221715, 585804903, ( -1), 928761670, 889138174, ( -1), 736665754, ( -1), ( -1), ( -1), ( -1), 137288217, ( -1), 847631481, ( -1), 837012925, 42159428, 297743461, 113677981, 306304790, ( -1), 361773209, ( -1), 501272453, 465738559, 589797764, ( -1), 627435975, 461873151, ( -1), 656874755, 509401822, 564362647, ( -1), 406780090, ( -1), 179990009, 289295920, ( -1), 84385982, 323496743, 656684696, 464544767, 672047618, ( -1), ( -1), 544260125, 358725264, 304345301, 533581206, 161955034, 985199387, 698099569, 63926711, 220787403, 742499474, 506807877, ( -1), ( -1), 917330274, ( -1), 863270461, 729483742, 301881761, 420907075, 137004022, ( -1), 618425575, 957682367, ( -1), ( -1), ( -1), 734669265, ( -1), 125970074, 696653893, 135273989, 270748659, 377940912, ( -1), ( -1), ( -1), ( -1), ( -1), 160960088, ( -1), ( -1), 918667188, 954287150, ( -1), ( -1), ( -1), 468486631, 603929518, ( -1), 444040010, 379432256, ( -1), 241063444, 853944137, ( -1), 401178224, 915775413, 627324490, ( -1), 227821775, ( -1), ( -1), 240605064, 508933290, 685134309, 156084853, 490697826, ( -1), ( -1), 899554983, 674923675, 936205498, 38138451, 643955457, 198511384, 634072708, 720715481, 603580183, ( -1), 635367037, 739896160, ( -1), 810723045, ( -1), 430134368, ( -1), ( -1), 61881879, ( -1), 960800420, ( -1), 643595903, 964077233, 354911522, 604048642, ( -1), 22058797, 510688231, 796817111, 227666571, ( -1), 434153315, 135981224, 553938028, 388952524, 823788012, ( -1), 875586847, 185250518, 227756920, ( -1), 166512483, 961699788, 686995438, 442887248, 792513223, 989015947, 445088115, 183871784, 822695970, 167191407, 646704960, 196376730, 610966313, 881048728, 195746834, 205884061, 770521231, 311451010, 736183930, 895769412, 922840229, 551973253, 703408708, 445331497, 450420355, 845088100, 981204694, 477714264, 76702049, ( -1), ( -1), ( -1), 122612217, 174525638, 517894762, 621698730, 93194667, 526142261, 725138743, 441917150, ( -1), 933354867, 452376213, 257380269, ( -1), 734809581, 987733852, 633891535, 110018672, ( -1), ( -1), ( -1), 321769130, 899102693, ( -1), 567223890, ( -1), ( -1), 354183743, 893145208, ( -1), 789167193, ( -1), ( -1), ( -1), ( -1), 759185232, ( -1), ( -1), ( -1), ( -1), 499496199, 715093574, ( -1), 39235451, ( -1), 537029421, 372181832, 877467815, 664671086, 763327181, 606909836, 417390882, ( -1), ( -1), ( -1), ( -1), 663991403, ( -1), 476168609, 496235984, 194957682, ( -1), 321906914, 511779357, 972242488, 535726505, 253919403, ( -1), 573648592, 995016809, ( -1), 464169129, 939562285, 268632728, 454276597, 11176622, 88689261, 488692670, ( -1), 510111715, ( -1), ( -1), 500247265, ( -1), ( -1), 956087196, 84768622, 361791667, 120583779, ( -1), 538006555, 444342863, 386700757, 511903734, 990775411, ( -1), ( -1), ( -1), ( -1), 641835688, 905003466, 689036625, ( -1), 321292918, ( -1), 557924697, 1096066, 971157024, 849764428, 255319396, ( -1), 527184954, 376261413, 560858317, 818360690, 398147222, 853773662, 878803085, ( -1), 928683816, 586015245, 200918717, ( -1), ( -1), 525434027, 362142775, 471175863, ( -1), 712180496, ( -1), ( -1), 830620415, 847182942, ( -1), ( -1), 331576017, ( -1), 662025489, ( -1), 419074940, ( -1), ( -1), 359650468, 961027155, 8348307, ( -1), ( -1), ( -1), 849072598, 620850503, ( -1), ( -1), ( -1), 376196117, 14921941, ( -1), 662753303, 834553641, 463382058, ( -1), 374970264, 177275454, 179164517, ( -1), 738920838, 828597699, 268328159, 899921209, 344299306, 125312815, 682479236, 908830133, 485869614, ( -1), 804031305, 785878747, 292915136, 892661664, ( -1), 738329256, 102527088, ( -1), ( -1), ( -1), 620995940, 882584701, 985691662, 10379612, ( -1), 239610434, 720565784, ( -1), 183353109, 274319882, ( -1), 691606810, 74791707, 164009746, 134583775, 621198917, 367506970, ( -1), ( -1), 895957387, 932904934, 720925799, 349977088, 848021279, ( -1), 361595704, 326839598, 283995721, ( -1), ( -1), 773851451, 981514969, 894994317, ( -1), 226019888, 37952050, ( -1), 227111483, 215797295, 280084807, 108737544, ( -1), ( -1), ( -1), 242018265, 939422997, 653526477, 511103465, ( -1), 456434164, ( -1), 423461255, 102448096, 91637730, 146931862, ( -1), 869074048, ( -1), ( -1), 381202206, 809947836, 204409241, 459627250, 93819637, 304006461, 294821078, 282998671, 419585732, 987965467, 136068074, 958326987, 236432289, 233903136, 23155658, ( -1), 9398078, 567281290, 406753544, ( -1), 772813828, 595601819, 505062089, ( -1), 303408363, 881682437, 225952127, ( -1), 16414771, 470701489, 732218555, 483729813, 381972381, 897713847, 76668752, ( -1), 149527826, ( -1), 314095053, ( -1), ( -1), 738011351, 539322901, 787788579, ( -1), 335106467, 221984497, 219943166, ( -1), ( -1), ( -1), ( -1), 856479509, ( -1), 506270576, 717250442, 568266699, 586371045, 38258324, 863450530, 464352709, 226979101, 444774784, 281054964, 198601085, 919076793, 809439840, 188783904, 565229105, 582562111, 972501513, 329330827, 816408873, 927981474, 138285734, 517703082, 448293373, 120141753, 313413529, 707228843, 112338458, 888989363, ( -1), ( -1), 189280954, 732730891, 8644523, 284795007, ( -1), 933076515, 496752351, 121283420, 471659501, ( -1), 491275394, ( -1), 832820454, 944562179, 565049629, ( -1), 856409611, 598499547, 849291985, ( -1), ( -1), ( -1), 446541568, 920314043, ( -1), ( -1), ( -1), 957575412, 255062755, 208853860, ( -1), ( -1), 97351997, 305911103, 343160565, 410803511, ( -1), 165569847, ( -1), 904286965, 981045649, 746397355, 240947001, ( -1), 410756958, 732081968, 409295853, 43557521, ( -1), 115220136, 538634248, 596424274, 828064347, ( -1), 588123882, 188408108, ( -1), 990367786, ( -1), 726964713, 632005612, 142036983, 232484786, 829013997, 376761428, 796759366, 533468531, 186696124, 134004155, 418660649, ( -1), 568737410, 181447419, ( -1), ( -1), ( -1), ( -1), 13778578, 71266170, 939409314, 242808251, 712360725, 933958585, 329232510, 267140854, 685153270, ( -1), ( -1), ( -1), 522260087, 625085549, 307908957, 279496807, 566687087, 931097480, 620753774, 716072846, 656326275, ( -1), 350181641, 58711205, 419887706, 9245400, 912225028, ( -1), ( -1), 410473815, 629541453, 14795471, 426196212, ( -1), 890547481, ( -1), ( -1), ( -1), 252186009, 273816064, 292876761, ( -1), 332553064, 553915188, 554749752, ( -1), 540620330, 600875793, 117673233, 827888355, ( -1), 280285289, 603980048, 538085863, 162230928, ( -1), 776182315, 890899666, 895144266, 807978312, ( -1), ( -1), ( -1), 688025593, ( -1), 915624358, 704614054, ( -1), 713565209, 795939146, 597600223, ( -1), 186210926, ( -1), 487951817, 368542181, ( -1), ( -1), ( -1), ( -1), 743987668, 274433484, 123521730, 876674839, 952508674, ( -1), 8712387, 591078259, 26408654, 341062866, 763197906, 469518581, ( -1), 778479683, 282393514, 562861014, ( -1), 36233233, 180959684, 309792061, ( -1), 813809443, 545268002, 993766270, ( -1), ( -1), ( -1), ( -1), 699307600, ( -1), ( -1), 496568109, 52836873, 790078097, 900716720, 866304979, 627931335, 660148940, ( -1), 370501496, 532426169, ( -1), ( -1), 881702879, ( -1), 80014414, 38711532, ( -1), 359195031, ( -1), 242355952, 208162453, 758299313, ( -1), 965345507, 38942968, 840254133, 922434170, 809486618, 806178537, 340632564, ( -1), 687708396, 155379423, 808289997, 623581643, ( -1), ( -1), ( -1), 652242298, 761827538, ( -1), ( -1), ( -1), 562537405, 207526392, 226376390, ( -1), 886440395, ( -1), ( -1), 155912533, ( -1), 420429191, 370955821, 710816190, ( -1), 776788470, ( -1), 538261743, 338683054, 860455263, ( -1), 97943493, 253460821, 115938997, 350144240, 103381376, 866411753, 747140454, ( -1), 357242867, ( -1), 351489086, 416187384, 979552382, 839344078, ( -1), 515854799, 700693643, 433466261, 538541446, 352402190, 786660552, ( -1), 925247599, 212918598, 905132909, 241573840, ( -1), 686200697, 854412696, 255884694, ( -1), ( -1), 631859764, 86740686, ( -1), ( -1), 947638095, 601161062, 499744612, 401629224, 809174549, 33259133, ( -1), ( -1), 468755187, 517702463, 313583422, 137911375, 840719527, 281819859, 178525120, 506952081, ( -1), ( -1), ( -1), 107331453, 723647284, 352528276, 301826251, 144070576, 290654681, 366638552, 158635200, 454284423, 63465478, 778177543, 409715555, 25744853, 447510700, ( -1), ( -1), ( -1), 544317622, 60168102, 618874620, 41417589, 614127934, 556214465, 7638180, 601807535, ( -1), 169427703, 230880421, ( -1), 511060877, 597360434, ( -1), 361151346, 692344894, 987708311, 344721764, 665421027, 854973592, 129127411, 983818633, 997776283, 180983892, 234333039, 166716240, 319645969, 192900532, ( -1), 164210297, ( -1), ( -1), 573547201, 954234768, ( -1), ( -1), ( -1), 351495465, 874367231, 951810769, 799471458, ( -1), 944912742, ( -1), 787636041, ( -1), ( -1), 599758590, 914098513, ( -1), ( -1), 522150541, 137305186, 324232602, 61049782, 71495717, ( -1), 872481329, ( -1), 375233387, 105782611, 194377606, 738080035, 836883528, 929788255, ( -1), 654590671, ( -1), 129348584, ( -1), 630034425, 936271227, 901131566, 729905893, 714377704, ( -1), ( -1), ( -1), 977680591, 453879998, 837418948, ( -1), ( -1), 318190710, ( -1), 745496244, ( -1), 7333831, 16956298, 811376306, 535626793, 719669372, ( -1), 459348934, 988392008, 205040157, 190084977, 140909303, 864326860, 361877523, ( -1), 865220456, 48967352, 33755617, ( -1), 160339634, 425525743, 837577775, 155503174, ( -1), ( -1), 112015259, ( -1), 337556634, ( -1), 938313630, ( -1), 7744534, 509568179, ( -1), 405094155, 571345201, 782923681, 409509083, 719788291, 377856146, 788641010, 708498944, 155290101, 440251308, 453342196, 90298887, 225131724, 578787487, 164670181, 120133943, 938093334, 876728946, 963395760, 892452139, 384790435, ( -1), ( -1), 985848849, 221339089, ( -1), ( -1), 109693375, ( -1), 265693841, 2738609, 168180883, ( -1), 527825043, 55039211, 668460176, ( -1), 997474459, ( -1), 435113822, 264948160, ( -1), ( -1), ( -1), ( -1), ( -1), 427694675, 961437961, 212489227, ( -1), ( -1), ( -1), 129678456, 894627432, 361375833, 306264822, ( -1), ( -1), 175000004, 604546649, ( -1), 457400062, 273478721, ( -1), ( -1), 817398442, ( -1), 678818043, ( -1), 647517268, 280287186, 676923076, ( -1), ( -1), 585324011, ( -1), 338672657, ( -1), 917163273, 274971713, ( -1), 480985969, 257809100, 679098898, 199073701, 753946647, 995833919, 294411992, 411663038, 732271310, ( -1), 22067306, ( -1), 93812048, 992632034, 866941979, ( -1), 668130952, 959220998, ( -1), 726365449, ( -1), 385521540, 165789450, 188834772, 432565540, 952167462, 360177391, 814221344, 165044016, 649521101, 301525838, 86498516, ( -1), 950868673, 81092690, 61982406, 863173551, 677475600, ( -1), 976708117, ( -1), 733285536, ( -1), 252630408, ( -1), ( -1), 543839006, ( -1), ( -1), ( -1), ( -1), 68803435, 746075244, 74972097, ( -1), 625740010, 43883173, 369856086, ( -1), 631285205, ( -1), 777623497, 946647652, ( -1), ( -1), 511367111, 413455400, 597996832, 909162434, 750317612, 21064770, ( -1), 773959094, 949062998, 477147438, 422674907, ( -1), 306833061, 337073804, 600528673, ( -1), 683901969, 132528719, ( -1), ( -1), 882832030, 809314522, 698829535, 260021674, ( -1), ( -1), 850254897, 229106500, ( -1), 794321149, 83039474, 633308820, 336388105, 955571730, 860562812, ( -1), 628042846, 223267038, ( -1), 367744003, 702418346, 565505413, 478614613, 85286026, 54574348, 939722026, ( -1), 211720594, ( -1), 404602759, 785503183, ( -1), 645573645, ( -1), ( -1), 526705337, ( -1), 794068616, 476342193, ( -1), 750197098, ( -1), 757697479, 437557847, 669347806, 756057868, 690179070, 143926154, ( -1), 861155517, 860035887, 500372494, ( -1), 299447564, 327523455, 726130222, ( -1), 637332779, 690114874, ( -1), ( -1), 670163140, 550681437, ( -1), ( -1), 976095619, ( -1), 775488610, 33926160, 687534319, 314177722, 154589506, 505357311, ( -1), 446485130, ( -1), 908917431, ( -1), 664609834, 250376071, 546699103, 728360875, 737970087, 64460678, 353588861, ( -1), ( -1), 855543417, 897780632, 794755380, 950990508, 413651843, 187056331, ( -1), 774930125, 647116624, ( -1), 826169030, 211173799, 641972988, ( -1), 397568994, 694825057, ( -1), 257358836, 968492778, 263876784, 915975000, 377049497, ( -1), 528609999, ( -1), 217991059, ( -1), 211372487, ( -1), ( -1), 620085253, 840733536, 576308673, ( -1), 896289173, ( -1), ( -1), 948908226, ( -1), 321339074, 144557996, ( -1), ( -1), ( -1), 447145253, 392999778, 47650345, 18383874, 645561246, 800592649, 549775990, 541728180, 760349137, 418722260, 682299189, ( -1), ( -1), ( -1), 908670260, 218360660, 747959592, ( -1), 931745650, 709997001, 380975651, 202708269, 720772373, ( -1), 962704362, 623944128, 318576670, 274379015, 542295452, 330542839, 516517638, 596100682, ( -1), 352451879, 115537911, 446318227, ( -1), 296596811, ( -1), 809736293, ( -1), 161882149, ( -1), 837961526, ( -1), 18796933, 506992732, 439101212, 970190010, 737912211, 7087185, ( -1), 513166547, 850157274, 688034221, 772830132, 885157251, 230802549, ( -1), 690690063, 285640704, 278419364, 566687642, 317386903, 475300998, ( -1), 119785529, 195281261, 871378234, 157835743, 211337464, 989408126, 656408296, 287489046, ( -1), 710538044, 911666992, 795175857, 615067291, ( -1), 547793413, 923158836, 802270374, 554825164, 554588294, 645303828, 708685313, 454227102, 39497130, ( -1), 180209963, 484099855, ( -1), ( -1), 180791948, ( -1), 41879377, ( -1), 39182919, 829502140, 59505817, 18030815, 91349142, 423489363, ( -1), 757064689, ( -1), ( -1), ( -1), 216057072, 950578790, 327158207, 417945682, 916745994, 463938453, 783977242, ( -1), 740245115, ( -1), 851665479, ( -1), 581351276, 384155331, 630772902, 237012582, 298433604, 367585459, ( -1), 317204923, ( -1), ( -1), 863898229, 463367119, ( -1), 682359640, 930844236, 843901060, 468688750, ( -1), 11634516, 90939232, 325325849, 83432790, ( -1), 318508742, 878549518, 880667187, 625285018, ( -1), 624366912, 354772089, ( -1), ( -1), 301600242, 426516362, 168225754, 836557391, 284813241, ( -1), 690368406, 473964700, ( -1), 454972649, 2317971, 690616569, 68979626, ( -1), 266898355, 220937137, ( -1), ( -1), 232232831, 898356310, 537648942, 494505843, 253269927, 673433750, ( -1), ( -1), 312567074, 494781486, 909863951, 636178340, 643471277, ( -1), 803069134, 612406764, 804996761, 214746778, 819415018, 822882376, 747387724, 805545663, 70238975, 378125475, 156300531, ( -1), ( -1), ( -1), ( -1), 960951904, 682926493, 287907740, 758552218, 508445063, 711320626, ( -1), 158910399, 516692088, ( -1), 450065256, 522018449, 138900689, 934243587, 765741110, 457738819, ( -1), 355793916, 85364422, 463046337, ( -1), ( -1), 664994731, 427248088, ( -1), 689471851, 729255501, 191385883, ( -1), 919070368, ( -1), 261993127, 235497118, 215389297, 164531658, 18315653, 486613399, 767315721, 807440259, 620598247, 610533412, ( -1), 356995225, ( -1), ( -1), 385420187, 94603037, 226689744, 532542645, ( -1), 611539651, ( -1), ( -1), 120743117, 853850331, 756753866, ( -1), 359800046, ( -1), 617415111, 749780594, 632772722, ( -1), 290177958, ( -1), ( -1), 193036337, 829284714, ( -1), ( -1), 299534509, 434908609, 389965960, 873476998, 184971069, 702590320, 567791504, 436921129, 953631288, ( -1), 386115315, 976022696, 703545350, 738447122, 777741898, 388333002, 732234281, 548706643, 88190954, ( -1), 426031841, ( -1), 262245454, ( -1), ( -1), ( -1), 192993028, 720104209, ( -1), ( -1), 591328387, ( -1), 422356787, 877873062, ( -1), ( -1), 331505463, 680036930, ( -1), 455686226, ( -1), 609916393, 718815813, 422206364, 103372345, ( -1), 369182820, 562835348, ( -1), 982933532, 867403094, 680163901, 932003275, 614278708, 933899981, 832208158, ( -1), ( -1), 721315096, 7631016, 148096294, 624648215, 49232771, 909234774, ( -1), 938738002, 802455025, ( -1), ( -1), 24610765, 129749564, 572141183, 381685133, 231654825, 151141353, 481827282, 605238206, 31005703, 810030292, 558675643, 412491623, 83346449, 929214815, 132747748, 340575009, 851799849, 873898519, ( -1), 975068174, 115588090, ( -1), ( -1), 499455856, ( -1), 753616695, ( -1), ( -1), 509647662, 822276709, 657378921, 104038427, ( -1), ( -1), ( -1), ( -1), 383680690, 600690144, 126454317, ( -1), 745824649, 702587081, 796960773, 804182401, 652989350, 681732285, 344598990, 375275483, 735099734, 987394877, ( -1), 540062427, ( -1), ( -1), 93166829, 330610571, 271018725, 397106971, 2360450, 872733862, 821438705, 575608233, 559927316, 595414680, 604292135, ( -1), 165444833, ( -1), ( -1), ( -1), 545705054, 683276534, ( -1), ( -1), 116009492, 836851589, 88004261, 375529956, 919705131, ( -1), 745155629, 314182847, ( -1), 153014851, ( -1), 385436677, ( -1), 296406673, ( -1), 963307845, 235393897, ( -1), 963313405, ( -1), 326640084, ( -1), ( -1), ( -1), 903041091, 679860418, 42365191, 368249014, 962873705, 205512735, 775644341, 91947109, 197524108, 126087317, 230542307, ( -1), ( -1), 404376750, ( -1), 724346498, ( -1), 719624347, 857425377, 146342994, ( -1), ( -1), 485783537, 480048841, ( -1), 481112796, ( -1), 679109838, 933439457, ( -1), ( -1), 328857026, 885793613, 990111031, 961634321, ( -1), 365880718, 164693722, 986968363, 85388172, 368507697, ( -1), ( -1), ( -1), 556558348, ( -1), ( -1), 567900592, 570552674, ( -1), 699902264, ( -1), ( -1), 940987833, 865268835, 71017487, 664967672, 753146889, 574006789, ( -1), 97801022, 757721233, 521698478, 160691951, 994049680, 980239605, 890124837, 121273457, 465417290, 628181219, 14891187, 697639963, ( -1), ( -1), 833531679, 274629548, ( -1), ( -1), ( -1), 600428456, 352205103, 258681344, 330201684, 574567963, ( -1), 517917917, 622886779, 842078241, 663416245, 802704052, 683842356, 278474445, 368877185, ( -1), 921247385, 943804545, 530030702, 253916256, 33218272, 743514946, 815294973, 51001971, ( -1), 612901626, 779083589, ( -1), ( -1), 124848205, 931789402, ( -1), 755700186, 923326417, 637147552, 447817879, 423576049, 117460991, 111869928, 894117413, ( -1), ( -1), 660097428, 663067476, 735917511, 375823634, ( -1), ( -1), ( -1), 107104612, 567047590, 502201402, 627208159, ( -1), ( -1), 764294924, 835902416, ( -1), ( -1), ( -1), 702884480, 80541221, 154527004, ( -1), 469458493, ( -1), ( -1), 541933226, 922778970, ( -1), 839172726, 204868977, 642971170, 930396716, ( -1), 740312203, 152730474, ( -1), ( -1), 320826990, 666224715, 372692802, 642410580, ( -1), ( -1), 499433588, 596149611, 922581488, 228947536, 377082869, ( -1), 777170979, ( -1), ( -1), 978221639, 67970910, 934816639, ( -1), 98624086, ( -1), 17712764, 79179149, ( -1), 384236230, ( -1), 689226735, 488693019, 408934998, ( -1), ( -1), 671997348, 383015236, 541429693, 449947209, 925545490, ( -1), 398977625, ( -1), ( -1), 175056439, ( -1), 851908178, 552765613, 367655105, 273546450, 291304955, 822387922, ( -1), ( -1), 683748146, 633361760, 722261424, 437003572, 685285743, 792012905, 123891106, ( -1), 603053642, 98921810, ( -1), ( -1), 593441763, 113882648, 746977807, ( -1), ( -1), 399400469, 756085948, 257079160, 332483458, ( -1), 752635146, 613424633, ( -1), 997587244, 724450393, ( -1), ( -1), 516021317, ( -1), ( -1), ( -1), 389716616, ( -1), 137094134, 826923535, 36226779, 401433908, ( -1), 266068591, 278614337, ( -1), 112973959, 213613320, 230142281, 107726243, ( -1), 509691698, ( -1), ( -1), 579371708, 216239691, 609501373, 383426731, 87728190, 516599688, 679250016, 236733503, ( -1), 617107772, ( -1), 516629025, 652227804, 85139378, 796884416, 610370920, 698281771, ( -1), ( -1), 25649604, ( -1), ( -1), ( -1), 23573183, ( -1), ( -1), 649421616, 12172169, 850759623, 678545565, 456660315, 225368664, 959587249, 57301259, 453722354, 469924249, 88080157, ( -1), 908422330, ( -1), 764616280, ( -1), 229081945, 519525544, 255676580, ( -1), ( -1), ( -1), 989625396, ( -1), 722262418, 798457790, ( -1), 868767496, 247319685, ( -1), 423998177, ( -1), 170545201, ( -1), 987461660, ( -1), ( -1), 702389112, 818416187, 292982915, 850751256, 456538814, 75680209, 14456064, 525225984, 767863142, 182256881, ( -1), 631951066, 995007589, 526272317, ( -1), 139846272, 215289721, ( -1), 436941082, 351814425, 403837387, ( -1), 4611842, 335486640, 815741538, 96563587, 244222329, ( -1), 338542529, ( -1), 655308617, ( -1), ( -1), ( -1), 158811673, 175184158, 436926705, 891798480, 644264489, 507819048, ( -1), 585243724, 681492249, 340139522, 707936842, 843405302, 563163843, 530172664, ( -1), ( -1), 318004795, ( -1), 932690291, ( -1), ( -1), 349347251, 496310380, 73392839, 63339094, ( -1), 182262014, ( -1), 984758767, 36281637, 118015312, ( -1), 909518631, 724848619, 322332710, ( -1), 71782835, 444771587, 580766193, 769592313, 937133117, 20455110, 645475435, ( -1), ( -1), 211264403, 80302969, 882620592, 63194736, 174684823, 271352545, 760015702, ( -1), 449213136, ( -1), 571190029, 856818408, ( -1), 593684625, 785261833, 580497566, 804321980, 695040492, 14307967, ( -1), 260576148, 714796779, 304227357, ( -1), 889069304, 337020940, ( -1), 729093619, ( -1), ( -1), ( -1), 511188815, 131217038, 755435468, ( -1), 122488851, ( -1), 397939188, ( -1), 243431580, 221234136, 859738828, 425188745, 216403574, ( -1), 687036298, ( -1), ( -1), 677525126, 676721411, 500603114, 244325932, ( -1), 633910917, 622035114, 82346628, ( -1), 458565329, 236471286, ( -1), 452981134, 334525291, 169793486, 754640003, 611849810, 310326129, 394435149, 939697149, 9209796, 784149180, 898127078, ( -1), 388170825, 336592126, ( -1), 333001192, ( -1), 832986195, ( -1), 438366364, 376702261, 311331694, 578270932, ( -1), 70600912, 862372124, 539140750, ( -1), 691524719, ( -1), ( -1), 356945839, 728563828, 247862355, ( -1), 671149526, ( -1), 311286541, 457175094, 32942865, ( -1), 67433680, 778740179, 659301702, 419490014, 932858174, 519622800, 846691523, ( -1), 216523202, ( -1), 585568582, 87857123, 631589510, 281068764, 803612832, 315661379, 49773439, 847860142, ( -1), 73124690, ( -1), 790558867, 631725811, 687677264, 556556564, 173332008, ( -1), ( -1), 199987796, 417085859, 850635590, 648669202, 656408821, 692864649, ( -1), 247276540, 257746487, 644716262, 830141713, ( -1), ( -1), ( -1), 623368673, ( -1), 354553940, 160513125, ( -1), 637007137, ( -1), 156649956, 496887874, 639642912, ( -1), ( -1), 782488335, 486539590, 863581867, 370381386, 327626224, 844242948, 821689264, ( -1), ( -1), ( -1), 947640876, ( -1), 362807267, ( -1), ( -1), ( -1), ( -1), 479280832, 277531158, ( -1), ( -1), 440864812, 342249545, 784635840, ( -1), 265518834, 641326216, ( -1), 619322411, 980823716, 371114397, ( -1), ( -1), ( -1), 954640454, 208238962, 944707260, 727199141, 177008518, 995751436, 834129243, 617908847, 829119235, 755088332, 538267896, 535669958, 467258313, 248739667, 491436122, ( -1), 154976960, ( -1), 640718283, ( -1), 689416857, 75350706, ( -1), 756763250, 997801361, 319551137, 3321611, 765300662, ( -1), ( -1), 181790213, 740432094, 734779875, 899954123, 476323289, 488023002, ( -1), 810969644, 403048693, 23280640, 2123247, ( -1), ( -1), 602948022, ( -1), 304519497, 410748221, 397174935, 620694852, 419809418, 15516302, 182202967, ( -1), ( -1), ( -1), 538591200, 509301000, 53606679, 412251426, 650730688, 533109931, 4557364, 521465583, 772368511, 994069845, ( -1), 448701861, 698674551, 388561474, ( -1), 409681645, 185924938, ( -1), ( -1), 589997262, ( -1), ( -1), 47708111, 545492897, ( -1), 877102537, 188313597, 230383922, ( -1), 975866270, 267193452, 643715244, ( -1), 663379545, 849213322, 677077376, 471848621, ( -1), ( -1), ( -1), 815386746, 633864734, ( -1), 789075448, 170106069, 894432766, 994710319, ( -1), ( -1), ( -1), ( -1), 279158480, ( -1), 265761422, ( -1), ( -1), 389171101, 230665149, 774359204, 172377741, ( -1), 197247780, 865265468, ( -1), 924117512, ( -1), 918038098, ( -1), 503321425, 734795291, 334973129, 92862853, 493763851, 619780291, 542648480, ( -1), 744882992, ( -1), 126517063, 443079986, ( -1), ( -1), 862167020, ( -1), ( -1), 841872689, 571511042, 31386343, 633079126, 97897057, ( -1), 473248794, 672106410, 859300486, 261517471, ( -1), ( -1), 877022677, 949758943, 55342262, 540984436, ( -1), ( -1), 872853550, 61680332, 826680254, ( -1), 90744804, ( -1), 842721554, ( -1), ( -1), 142687657, ( -1), 367446378, 744457518, 518051995, ( -1), 459875590, 436768005, 759520090, 26151045, ( -1), ( -1), 59566617, 446470769, 768415730, ( -1), 149697519, 746669386, 54401041, ( -1), 294840403, 247448210, ( -1), ( -1), 417674456, 25117021, 725956475, ( -1), ( -1), 322539694, 95091791, 216034318, 171018490, 80669238, 754017004, 941277055, 955799866, 167485946, 12457294, 868549173, ( -1), ( -1), ( -1), 294978349, ( -1), 858390017, ( -1), ( -1), ( -1), 367367169, 239906356, 520134782, ( -1), ( -1), 549600986, 197784261, ( -1), ( -1), ( -1), 808336190, ( -1), 930875847, 151264819, 225570574, 812502260, ( -1), ( -1), 18407657, 82029284, ( -1), ( -1), 606966895, 805247443, 250594806, ( -1), ( -1), ( -1), 892155845, ( -1), 728346152, ( -1), 581291048, 454943591, 468608111, 318092332, 977472883, 589031968, 442880948, 750197449, 528383355, ( -1), ( -1), ( -1), 314922303, ( -1), 833778307, 463423434, 15050087, 315528615, 862319791, 298537643, 988930883, 75841831, ( -1), 53362440, ( -1), 586353949, 345729942, ( -1), 884167318, 259713901, 140364123, ( -1), 917147273, 458918052, 248725607, ( -1), 814342725, 135446359, ( -1), 253356860, 618325108, 818133171, 655226184, ( -1), 962592249, ( -1), 601012146, 976775783, 263887998, 558185610, 450847078, ( -1), 537328935, 403861226, 330590626, 100079484, 314745926, ( -1), 152569195, 998053522, 951223921, 146177647, 77270062, 457668687, ( -1), 134766328, 564447631, ( -1), ( -1), 744638070, 736805853, ( -1), 618543335, 709110928, 154662562, 918362404, 636293173, 727300224, ( -1), 796158371, 729428342, ( -1), 931316997, 936081641, 914027856, 191909426, 993944531, 361012139, 451769326, 300163888, 97355528, ( -1), 134942487, ( -1), ( -1), 515324860, 47552150, 924677187, 214268954, 533680397, 281963101, ( -1), 46151821, 236702801, 890875958, 888037387, 947437250, 861743024, 68455748, ( -1), 605067233, 453933442, 462813259, 249314300, 913687486, 421424911, 635350557, 470055000, 851871256, 601759398, 623845542, 404285353, 122332224, 761263743, 996875454, ( -1), ( -1), 222480919, ( -1), 22946923, 881803577, 828878566, 663268953, 979086128, 554978023, 302146855, 261094996, 365384104, ( -1), 946835673, 825693305, ( -1), 805592917, 301419010, ( -1), 753335491, 873767945, 165378633, 952053912, 816042797, ( -1), 110751180, 460210831, 271597911, 983514445, 17141610, 395048052, 355443975, ( -1), 25308464, 248289353, 290020539, ( -1), 999565963, ( -1), 376892599, 291867807, 64756057, 214590784, 954192264, ( -1), 152034807, 97853940, ( -1), ( -1), 570687057, 416546744, 527572400, ( -1), 344667942, 282318634, ( -1), ( -1), 874145223, 49617081, 61594874, 109542174, 51494536, 872277721, 291123617, ( -1), ( -1), 908946944, ( -1), ( -1), ( -1), 392114614, 317718618, 773260812, 893413282, 647091526, 99104495, 316867587, 827223195, 994606212, ( -1), ( -1), 994410540, 57773336, 12763158, 834154972, ( -1), 748698058, 942785744, ( -1), 504655030, ( -1), ( -1), ( -1), 10964309, ( -1), 719534583, 40478971, ( -1), 481818957, ( -1), 951135298, 162675496, 727706665, ( -1), ( -1), ( -1), 453782939, 731747508, ( -1), 912481386, 538719684, 27934507, ( -1), 796946880, 737464921, ( -1), 773171919, 7407913, 570584055, 799351998, 106785605, 846682595, 60900065, 907073445, ( -1), 811595953, ( -1), ( -1), 587492015, 284816917, 439844513, 933108842, 577638867, 721297595, ( -1), 336444028, 455308092, 841279570, 710943609, 656905722, ( -1), 490690459, 430613636, ( -1), ( -1), 779829612, 270966345, 100020071, ( -1), 336929717, 596983196, 375386599, 522292984, ( -1), 444086111, 377864667, 235524776, ( -1), ( -1), 168328048, 984610459, 398667373, ( -1), 107492030, 485292629, 256817219, 773570702, ( -1), 700812865, 879394718, ( -1), 676467743, 882632545, 986168989, 731844987, 779501690, 890917803, 499065956, 861726449, ( -1), 910580433, 34308501, 520918541, ( -1), 173272545, 188493120, 561274351, 238350515, 216668918, ( -1), ( -1), 121742705, 55815951, 576695350, 511343662, 276801457, 83688849, 353396963, ( -1), 580759614, 345307959, 276127987, ( -1), 131360964, 240374728, ( -1), 242083848, 872317546, ( -1), ( -1), 346366498, 677851358, 885607441, 943334200, ( -1), ( -1), 4709635, 159780120, ( -1), 173482343, 10770236, 183246987, 345952509, 715339399, 330793761, 493068967, 892780438, 238875547, ( -1), ( -1), 22390759, 429821210, 523191128, 82902061, 373430303, 696933528, 525401908, ( -1), 546504104, 836620658, 55945968, ( -1), 908498053, ( -1), 463865980, 866844831, 261116426, 723214157, ( -1), 989878348, ( -1), 521007255, 638252533, 728609084, 343806703, 64617408, ( -1), ( -1), 585433275, 79433109, ( -1), 804492541, ( -1), 110720502, 531557255, ( -1), 292127542, 479866396, ( -1), 645239147, 108485683, 989742706, 549318114, 726947866, 345993689, 502051456, 130057562, 10661639, 829741632, 133518033, ( -1), 683453688, ( -1), ( -1), 970055437, 8086686, 207034423, 851706216, ( -1), 680752266, 305045842, ( -1), ( -1), ( -1), ( -1), 482818401, 385781463, ( -1), 535290333, ( -1), 482024668, 137347886, 568360995, ( -1), 956352778, 233064974, 404573948, 489022650, 835395686, 59773263, ( -1), 484635044, 306026046, 165430867, 671429013, 281730886, 444380675, ( -1), 968227637, 739975779, 172632925, 51777478, 970267355, ( -1), 426563970, ( -1), 429069824, 304978541, ( -1), ( -1), 311325523, 558927848, 323926723, ( -1), 930055869, 630499346, ( -1), 600095710, ( -1), 833923921, 383874847, ( -1), 900599797, 237959911, ( -1), ( -1), ( -1), 44801076, 237342686, 1350188, ( -1), 490595777, 619520682, 929447443, 442831874, ( -1), 728872538, ( -1), 412607908, 152076032, ( -1), 190667263, ( -1), ( -1), 739218676, 241598527, ( -1), 580700805, 692394792, 921695376, 437007672, 513835438, 65918010, 779905584, ( -1), 25603377, ( -1), 913092646, 787997272, 797201536, 65159138, 48399924, 385185388, 76428922, 587954399, 578606377, 566880797, 408292412, ( -1), 414926263, ( -1), 903375188, ( -1), 159160831, 615499718, 360066172, 775612384, 41870886, 290704712, 177012793, ( -1), 188656553, 195440318, ( -1), 237295743, 776247923, 303945329, 695597381, ( -1), 120521674, ( -1), 531079489, 608072419, ( -1), 276033173, 894322113, ( -1), 735530249, 498090838, 553325077, 846401860, 360466008, 373527491, ( -1), ( -1), ( -1), 281710434, ( -1), ( -1), ( -1), ( -1), 837836292, ( -1), 24322233, ( -1), 192099605, 571721246, ( -1), 500144586, 891027501, ( -1), 134395100, 164795552, 93950685, 561432941, ( -1), 280591968, ( -1), 685559181, 809980302, 105588259, ( -1), 788456966, 428754517, 14996032, 754676813, 787343872, 125096580, 31009677, 72469001, 34813022, 739961935, ( -1), 440046726, 33755911, ( -1), ( -1), 469814581, ( -1), 563050342, 879401630, 469227963, 681676985, 987801692, 658906901, ( -1), ( -1), 5235331, ( -1), ( -1), 996610262, 200247476, 416399015, 133681682, ( -1), 908870731, 916445047, 12712240, 34747994, 264391082, 358118030, 227020413, 574858693, 886237569, 806204144, 209202052, ( -1), ( -1), 333291503, 795229419, 168748860, 906178377, ( -1), ( -1), 866327286, 784478992, 270171886, 211927952, 57760478, ( -1), ( -1), 74852002, 75843723, 990796815, ( -1), ( -1), 619961128, 842597493, 868173922, 823464159, 900773547, 287684193, ( -1), 466532479, ( -1), 397303322, 662595440, 236173222, 369303530, 849738425, ( -1), 104517266, ( -1), ( -1), 919712993, ( -1), 720746007, 957761207, 436765090, ( -1), 161333027, 98489965, 591817499, 892453436, 68796369, 491603518, 453746006, 180319838, 532122374, 262738717, 765368084, 633384828, ( -1), ( -1), 637873053, 499459555, 535822388, 628411405, ( -1), 890973312, 567371096, ( -1), 592398302, 493270609, 66727043, 929392244, 272642138, ( -1), 971524266, 386297419, 608154789, 79707656, 194139854, 951807737, 114019009, ( -1), 89207355, 472321428, 493844263, ( -1), ( -1), 540258585, 548621679, 392133737, ( -1), ( -1), 454310317, 347848155, 627434947, 305353476, 472104587, ( -1), 54960121, 778360240, 445050214, ( -1), ( -1), 55149281, 779622464, 384014071, ( -1), 873236811, 119496169, 603999505, 183529843, 917250668, 232818996, ( -1), ( -1), 833187916, ( -1), 852390125, 217737017, 511375612, 286580802, 728472159, 436199132, ( -1), 493081652, 40012216, ( -1), 563011677, ( -1), 641936327, ( -1), 116228674, ( -1), ( -1), 98020172, ( -1), 580697479, 920684796, 424627527, ( -1), 743122785, 247855409, 467293552, 476009066, 717827301, ( -1), 146427345, 88570521, 241975948, 924872219, 440904127, ( -1), ( -1), 629678917, 334793606, ( -1), 604203633, 527638013, 66818814, 486295315, 236265819, 153958881, 441425476, ( -1), ( -1), 298322122, ( -1), 636419618, 703576893, ( -1), 577105480, 391925995, ( -1), 370351348, ( -1), 200393419, 514403385, 238543446, 262262679, 427708271, 191176407, ( -1), 869168399, 202131597, 756914271, ( -1), ( -1), 690590986, ( -1), 711927433, ( -1), 507958267, ( -1), 811591466, 744603502, ( -1), 36485222, 391626860, ( -1), 745870923, 445815478, 431609735, 870713544, ( -1), ( -1), ( -1), 788476853, 887754973, 129332546, 780628836, 745989909, 489339238, ( -1), 606045884, ( -1), ( -1), 778980239, 781275648, 865157419, ( -1), ( -1), ( -1), ( -1), 587535483, ( -1), 207563132, 550822524, ( -1), 143049905, ( -1), ( -1), 549967947, 243286365, ( -1), 831042796, 370039116, ( -1), ( -1), 611559059, 362379433, 154849029, 445916066, 720321422, 822230849, 300012632, 146997396, ( -1), 710611634, 524665313, 219060810, 670712597, 446167387, ( -1), 849007408, 414747601, ( -1), 306683161, 554951691, 150012265, ( -1), ( -1), 793592464, 204511275, 739424666, 365900259, 459846496, ( -1), 856858298, 741206154, 104071288, 922478127, ( -1), 194345033, 314942324, 367273208, 67188936, ( -1), ( -1), ( -1), 385153740, 68166714, 638118492, 500446367, 239719820, 693137134, ( -1), ( -1), 247306227, 328738109, 679201685, 383869947, 29452596, 784407167, ( -1), 611956287, 87452930, 500375435, 305666199, 985164580, 706913336, 434628864, 741349419, 987358187, 964083483, 608637097, 925436197, 114045125, ( -1), 272500225, 363796325, 795768303, ( -1), ( -1), 768823390, 170629410, 364328497, 336047026, ( -1), 62565866, ( -1), ( -1), ( -1), 339697736, 17317500, 48884160, 196497485, 145630534, ( -1), 767601234, 756008615, 212419063, 92811389, 152885985, 376617516, 890575156, ( -1), ( -1), 609525317, 52560071, 228062657, ( -1), 772975850, 629934198, 555389267, 187372084, ( -1), ( -1), 702055649, 267564416, ( -1), 163233622, ( -1), ( -1), ( -1), 116578336, 127554182, ( -1), 550509270, 534940211, 644155288, 877259843, 459496563, 451219243, 652978237, 483476981, 974508446, 275611273, 762283288, 42528791, 768692438, ( -1), 783190216, 665503866, ( -1), 280174510, 128364134, 65244677, 143580549, 994334380, ( -1), ( -1), ( -1), ( -1), 293005813, 148411318, 563741811, 565544475, 191172092, 492470155, 965560289, 937309929, 294967589, 659209260, 383712692, 155173700, ( -1), 873193417, 688673413, 468818591, ( -1), ( -1), 41218657, ( -1), 101916503, 709881511, 980351356, 840858804, 393775162, 656572002, 27924567, 93278492, 282919086, 652976318, 512210919, 350742650, 754208232, 743764913, 749741804, 587447148, 736942834, 914162360, ( -1), ( -1), 925980838, ( -1), 823529826, 748693321, 585667324, ( -1), ( -1), 439136195, 478664095, 747835139, 966206388, 953622401, ( -1), 892129344, 242272991, ( -1), 399511807, 894026287, 473893862, 448479303, ( -1), 474741829, 872022335, 166169600, 444499003, ( -1), ( -1), 686960303, 693599782, ( -1), 385531194, 966730062, ( -1), 460958745, ( -1), 446982973, 860091995, 190985290, 570142436, 546668609, 708739025, 866417783, 827821131, 830508031, ( -1), 521438292, 638419852, 479011547, 301480053, 375573519, 184994067, 931167599, 758391447, ( -1), 698916446, 506291093, ( -1), 195045977, 577058533, 590525707, ( -1), 94630658, 398906062, ( -1), 558311681, 430521199, 663012322, 807660761, ( -1), 113844587, ( -1), 701755550, ( -1), 755928601, 627010784, 744145381, 413732568, 495795685, ( -1), 365878107, ( -1), ( -1), 86631895, 141775798, 162947928, ( -1), 792884665, 886035759, 825218756, ( -1), 73356971, 344202016, 815782824, 486764657, 376888412, 82165639, ( -1), 494778596, ( -1), 241331344, 248738563, 928207762, ( -1), 785283143, ( -1), ( -1), ( -1), ( -1), 707738243, ( -1), 803381220, 497293336, 431127722, 790983461, ( -1), 518366723, 392661875, 432985778, 998796955, 876612304, ( -1), ( -1), ( -1), ( -1), 237907407, 934379286, 917655008, ( -1), ( -1), 827152874, ( -1), ( -1), 774144121, 31212169, 776267430, 397303871, 738031421, 980072428, 42663661, ( -1), 798081393, 435750208, 78504722, ( -1), ( -1), 914541587, ( -1), ( -1), 681998292, 228162811, 905207599, 740788600, ( -1), ( -1), ( -1), 121730455, 162229669, 761292244, 917668007, 296782343, ( -1), 565181561, 37382785, 782561415, 130596174, ( -1), 777028748, 8785570, 720108195, ( -1), 432265848, 733183355, 894247601, ( -1), 211495045, 937034514, 163158836, 728013068, 332697411, 82447, 240834770, 268079277, 534687560, 408244723, 866564544, 8139356, 262293587, 139418881, ( -1), 512213758, ( -1), ( -1), ( -1), 225962474, 874216235, ( -1), 303442330, 155192644, 41468702, 814527770, 632725297, ( -1), 803509487, ( -1), 925290454, ( -1), 155742361, ( -1), ( -1), ( -1), 396704414, 247406025, ( -1), 230644228, 192320217, 115677433, 591066582, 746845073, 748800360, 36017300, ( -1), 785378009, 425275210, 225233942, ( -1), 352620495, 384112707, 369802636, 159961509, 401920880, ( -1), 457623007, 672120991, 228165794, 825268664, 760356405, 390297257, 728070939, 511183257, 127394292, ( -1), 130316919, ( -1), ( -1), 946597850, 65618913, 798078790, 69285198, 10970648, 303137437, 786494628, 319957539, 352049252, 508039109, 521780007, 618934746, ( -1), 457287408, ( -1), 489974759, ( -1), 603905543, 47959403, ( -1), 257314475, 452623731, ( -1), ( -1), 823034670, 589750323, ( -1), 511779811, 482040686, 269258712, 10575276, 246882169, 276983272, 667762088, ( -1), ( -1), 408308377, ( -1), ( -1), 717274666, 429101566, 901308288, 703502594, ( -1), ( -1), ( -1), ( -1), 958679698, 120720218, ( -1), 966752811, 809927210, 536286756, 38422702, ( -1), 362705886, 207241730, ( -1), 851506202, ( -1), 965110334, ( -1), 944401968, ( -1), 932452726, 276710776, 598874095, 334987721, ( -1), ( -1), ( -1), 637706392, 765065019, ( -1), 53153520, 377229185, 275634994, 234525115, 656203072, ( -1), 68585644, 942780968, ( -1), 514694963, 434887713, 812438988, 502628648, 586158564, ( -1), ( -1), 465808217, 809581364, 991691439, 700307708, 940777234, ( -1), 374831129, 916052624, ( -1), 132000105, 807697917, 378554782, 199428318, 423263039, 632329134, 646876804, ( -1), ( -1), 445471267, 885767253, 245081460, 460131471, 735849950, 920280068, 845526217, 841276386, 40466814, ( -1), ( -1), 194985726, ( -1), ( -1), ( -1), 834706626, 275511319, 613103715, 926822683, 747169488, 174614916, 298222886, 115275372, 289067587, ( -1), 150308347, 940100263, 31569784, 566656317, ( -1), 706219759, 760125171, 735556105, 67749933, 409214671, 159127094, 431466543, ( -1), 943973752, 801299923, 849953061, ( -1), 520028869, 512482471, 41481673, 813955490, 933644291, 363443462, 342391891, 480071434, 379403471, ( -1), 638313773, ( -1), 67047557, 493595707, 356979498, ( -1), ( -1), ( -1), 335087613, ( -1), ( -1), 312184081, ( -1), 39455067, 870993914, 538605807, 84216299, 382227176, 134889750, ( -1), 332204001, 42220433, ( -1), ( -1), 704256216, ( -1), 989455869, 797940065, 196728344, 6945564, 304023142, 252856617, ( -1), 271115712, 216251305, 854233123, ( -1), ( -1), 627056244, 789940329, ( -1), 825259613, 167083771, 96152510, 551537678, 209120532, 639616364, ( -1), ( -1), ( -1), 276719849, 762847784, 824485143, 177280096, 228229841, 861047536, 457474341, 198467943, 785112480, ( -1), ( -1), 529658818, ( -1), ( -1), 388612654, 713089794, 646978643, ( -1), ( -1), ( -1), 771560940, 444202755, ( -1), ( -1), 592869008, 842308406, 76408191, 173550653, ( -1), 437069612, ( -1), ( -1), 337107281, 90341189, 616609700, 159436405, 79795046, 766681283, ( -1), 38380725, ( -1), 253922628, 178636022, 380296531, 585253753, 613565664, ( -1), 488585291, 403094607, 745716247, 431492324, 708173264, 796298761, 510093918, 333514053, 724256010, 127376607, 644751686, 887789138, ( -1), ( -1), ( -1), 937789424, ( -1), ( -1), ( -1), 653021222, ( -1), 663834707, 575414336, 680939771, 583327103, ( -1), 22972268, 99390153, 728281234, ( -1), ( -1), ( -1), 757660447, 832521939, 224109195, 624313085, 569661506, 756252828, 721943697, ( -1), 80274144, ( -1), 3776995, 50148443, 636070055, ( -1), 754031842, ( -1), 406299026, 415327059, 219267400, 619506455, 903859876, 534354403, 288519820, 877522701, ( -1), 139492287, 202782703, 870165120, 564350716, 794329718, 300307744, 170460282, 613550521, ( -1), ( -1), ( -1), 849946416, ( -1), ( -1), 590974270, 399268523, 807635184, 831952009, 995169826, 834070911, ( -1), 456483842, 185054201, 200488153, 641751675, 895668878, 378519940, 432209226, ( -1), 215226809, 738931766, 235189928, ( -1), 610350592, 126385806, 681052963, 691490252, 579626699, 734152779, 843173366, 434935838, 796627125, 300259182, 386147546, ( -1), ( -1), 144996818, 279006585, ( -1), 939341795, 206856595, 792398498, ( -1), 244394154, 524236973, 848940031, 433269087, 865020865, 864279505, 369433793, ( -1), 100413412, ( -1), ( -1), 339040289, 849340903, 907757636, ( -1), 538733478, 343267242, 121616523, 660945633, ( -1), 462710990, 823883368, 270993721, 117282739, ( -1), ( -1), 701651167, ( -1), 926210195, 165362454, 765656849, 493753421, 423604551, 36504985, 514278043, ( -1), ( -1), 869942142, ( -1), 244981825, ( -1), ( -1), ( -1), 48228342, ( -1), 29699153, 762797750, 306369347, ( -1), ( -1), 405931655, 83124993, 191788060, 682859958, 207597867, 857945277, 855430656, 218184718, ( -1), 306698558, ( -1), 699965779, 927173007, 432264533, 373504534, ( -1), 167760645, 213639141, 761695559, ( -1), 608462829, 135911176, 193766573, 625796384, ( -1), 602484564, 190709394, 661472191, 240060240, ( -1), ( -1), ( -1), ( -1), 947015008, 369859701, ( -1), 534064841, ( -1), 97341751, ( -1), 860100643, 144644282, 557882747, 939599863, 540886329, 60111316, 696380871, 757030594, ( -1), 261410203, ( -1), 998795261, 408932031, ( -1), 545217103, ( -1), 283606676, 6815740, 143970772, 226367507, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 334648564, 93126893, 865340533, 735405168, 888795545, 101988245, 412081571, ( -1), 570162490, 997656292, 630988098, 783472810, 214658568, 371889591, 60697790, ( -1), 235088070, 297130165, 503681245, 572446153, ( -1), 873153274, ( -1), 998242384, ( -1), ( -1), ( -1), 54068490, 649517174, 320947753, ( -1), ( -1), 116269863, 145612566, 475431766, 997078755, 691080490, 350880409, 236367267, ( -1), 144520701, 295911206, 736787952, ( -1), 669379580, 652822949, 692254288, 280637546, 647576478, 221534078, ( -1), ( -1), 998982143, ( -1), 271034622, 563804075, 921056242, 555502215, ( -1), 845337790, ( -1), 867810413, 831666291, ( -1), 601557902, 662165092, 46704287, ( -1), 116543586, 970872748, 517622583, ( -1), ( -1), 782656541, 866692625, 261052475, 69732933, ( -1), 569728901, 160950799, 458043733, 647852179, ( -1), 89475258, 736245808, ( -1), 227430525, 378406127, 49548298, 638444882, ( -1), 921367164, 548550238, ( -1), ( -1), 58590671, 66602958, 770097683, 393287794, 679919399, ( -1), ( -1), 379821661, 688726186, 484673867, 85677975, ( -1), ( -1), 800588506, 508290118, 889359028, ( -1), ( -1), 193210148, 638258145, ( -1), ( -1), ( -1), ( -1), 985617948, ( -1), 695879868, ( -1), 869023314, 320912674, 94383639, 56566418, 418628728, ( -1), 963982788, 791710352, 925089746, 579038837, 7220686, 456947044, 735962800, 760435377, 21640688, 131301211, 220775763, 660025932, ( -1), ( -1), 197609079, ( -1), ( -1), 745123201, ( -1), 324677214, 826411172, 633111808, 349994436, 66665460, 115527942, 458480181, 742037568, 14717909, 9709826, 584226831, ( -1), 202940689, ( -1), 817438042, 647712465, ( -1), 833025250, ( -1), ( -1), 188711580, 571562288, ( -1), ( -1), 412767139, 709850763, 380896721, ( -1), 611131725, 384968827, ( -1), 643969147, 132734681, 763081930, 177070730, 989893363, 477988544, 711195338, ( -1), 550519133, 168280065, ( -1), ( -1), ( -1), 974701887, ( -1), 708465570, 846416521, ( -1), 312966616, ( -1), ( -1), 765148495, ( -1), ( -1), ( -1), ( -1), ( -1), 56309545, ( -1), 221658390, ( -1), ( -1), 891477724, 311035390, ( -1), 41872625, 551706421, 762757884, ( -1), 818365160, 145619742, 928610486, 279298344, 488447918, ( -1), ( -1), ( -1), 688773795, 437390820, ( -1), 358738196, 366313907, ( -1), ( -1), 472716101, 799665859, 615430339, 948871883, ( -1), ( -1), ( -1), 501674461, ( -1), ( -1), 92896681, ( -1), ( -1), 481722798, 483087166, 941449410, ( -1), 199560522, 685304146, 169201739, 505774186, 733405119, ( -1), 17174157, ( -1), 216729694, ( -1), ( -1), 240534254, ( -1), 849767467, ( -1), ( -1), 671139920, ( -1), 44618422, 160749082, 287087351, 469975346, 542089074, ( -1), ( -1), 744442101, ( -1), 712142611, ( -1), 491337600, 229189248, ( -1), 564771998, 919770568, 100501730, ( -1), 444278216, 490756432, 905321787, 531860649, ( -1), ( -1), ( -1), 119376345, ( -1), ( -1), 708555744, ( -1), ( -1), 124916554, 588340040, 981898609, 170892092, 385145148, ( -1), ( -1), 671510894, 972865848, 296303278, 824905238, 416852218, ( -1), 353376693, 810171326, 717836980, ( -1), ( -1), ( -1), ( -1), ( -1), 540441927, ( -1), 980044108, ( -1), 934274104, 748217788, ( -1), ( -1), 803638217, ( -1), ( -1), ( -1), ( -1), ( -1), 473899852, 600387776, 116823314, 306022404, 447788306, 138335106, ( -1), 267106366, 789172613, 376737098, ( -1), 163225554, 49988814, 93476972, 484556591, 705183550, 408558886, 935714633, ( -1), ( -1), 559612261, 827543033, 733953001, 156304584, 373910335, 422270341, 979791620, 579221408, ( -1), 699345523, 327315999, 685470750, 702105904, ( -1), 246289999, ( -1), 110356668, 714822113, 223513832, ( -1), ( -1), 279328266, 749320707, 375025252, 601050769, 257190434, 493430364, 261158126, 582355221, 574520383, ( -1), 616765484, 871516983, 543691410, 421490769, 33156207, 599197498, ( -1), 730409020, 429258783, 84076024, 404136958, 956317388, 160243222, ( -1), 302384310, 236053378, 494939356, 115960419, 182135078, 273754599, ( -1), 714515745, 203117314, 988791938, 180661128, 68817818, 839612421, 753166633, ( -1), 342628254, ( -1), ( -1), 808741131, ( -1), 127560706, ( -1), ( -1), 69043285, ( -1), 814004207, 4600833, 936601231, ( -1), ( -1), ( -1), ( -1), 877409309, ( -1), 881293774, ( -1), 472436501, 930162925, 563712938, 825920370, 151713117, ( -1), 3768183, ( -1), 677176061, 965066418, ( -1), ( -1), 913025906, 55059246, 291622212, ( -1), ( -1), 362823583, 86756885, ( -1), 80541953, ( -1), 823750137, ( -1), 826344793, ( -1), 971996185, 845044863, 741774482, 864956370, 666217321, ( -1), 845470226, 807831421, 742042328, ( -1), 405318025, 798255004, 464815528, 572744520, 726076994, ( -1), 2203921, 653389486, 751253918, ( -1), ( -1), 836777418, 241777034, 588009077, 93456824, ( -1), ( -1), 738176975, ( -1), 404228564, 81704687, ( -1), 238077069, 454723932, 242663277, 856190999, ( -1), 466795459, 36997174, 795821171, 899688283, 11546266, 850557541, 315577809, 70969731, 759985042, 800580763, 307017764, 573912350, 755528897, 555760264, 996268985, 436805697, 213532108, 395181152, 649525838, 309430306, 734831408, 514948046, 13933074, 774444537, 956951069, ( -1), 23981680, ( -1), 573479650, 822837059, ( -1), 936992509, 647190882, 97051627, 865619685, 636183747, 473074341, 756038973, 678371051, 518992058, 601195636, ( -1), ( -1), 796960242, ( -1), 580238245, 211274927, 833371384, 155655453, 476578331, ( -1), 73194066, 753073760, 518429102, 669335094, ( -1), 484528106, 426691845, 146377316, 133944524, ( -1), 845106290, 363755358, 252420621, 59815321, 782115074, 754284510, 588078530, 729677883, 210694107, 681091602, 88059513, 328704106, 101666027, 541896509, 743967649, ( -1), ( -1), 932914200, ( -1), ( -1), 487002082, 672209985, 240509622, 214516536, 329106748, 872749613, 534266002, 786933802, 302641095, 137537358, 455643553, 629453718, 322213649, 335617890, 992719751, ( -1), 821689535, ( -1), 460500360, 103308804, 777555591, 147533283, ( -1), 847229912, 91268790, 168516063, ( -1), ( -1), 924021786, 94220262, 173243774, 837728099, 392386583, ( -1), 309425047, ( -1), 589960261, 971046170, ( -1), 317240853, ( -1), ( -1), 451136045, 164297880, 645131680, ( -1), 688546688, 182280214, 57962915, 293103429, 818145564, 552396553, ( -1), 299404019, 317606585, ( -1), 853657566, ( -1), 37973471, 518621243, ( -1), ( -1), 937901513, 356132883, 754650350, 747061789, 513384414, ( -1), 381451157, 725993666, 520326341, 146588513, 12739603, 498576216, 436793765, 731093045, 201677531, 524314425, 941557313, 223665906, 822742336, 799630229, 576179751, ( -1), ( -1), 976815017, 920530630, ( -1), 141920336, 815562973, 243399023, 439622406, 403950113, 709099879, ( -1), ( -1), ( -1), ( -1), 617724714, ( -1), 806363612, ( -1), 608684068, ( -1), 282617448, 412124108, ( -1), 466772064, 923674018, 109239731, ( -1), 773994690, 343975544, 267620859, 654935946, 557959339, 898448332, 778299985, ( -1), 714973970, 621455803, ( -1), 891978762, 24244800, ( -1), 677696023, 917455067, 76432141, ( -1), ( -1), 551747731, ( -1), ( -1), 988932998, 78400394, ( -1), ( -1), ( -1), 987503683, 588860292, 220007021, 442376238, ( -1), ( -1), 201039072, 598520134, 222651820, ( -1), 894802320, 968750063, 363912386, 368546439, ( -1), 951079046, 95940508, 739345519, 768432361, 661957089, 683809779, 118941906, 59646321, 309865440, 659023493, 171700102, 812033347, 14537954, 32931626, ( -1), 593854480, ( -1), 466754490, 885236331, ( -1), 442408879, 934728426, ( -1), ( -1), 195216323, 76335315, 12554361, 841735801, ( -1), 486092923, 657932140, ( -1), ( -1), ( -1), ( -1), 112710049, 395976297, ( -1), ( -1), 939372254, 355489326, 17999204, 902593483, 447213079, 723756659, 841357057, 383518107, 51069779, 864301877, 19296799, 387650065, ( -1), ( -1), 232199950, 696137887, 387159099, 557886455, 558175365, 453341421, ( -1), 613256718, 48916209, ( -1), 542950726, 322251571, ( -1), ( -1), 494595693, 790708445, 251113653, 600149292, 675771249, ( -1), 451051777, 576597102, 241946525, 137286027, 744163871, 25097366, 944103552, 756853837, 441958741, 495606599, ( -1), 820942990, ( -1), ( -1), 611373271, 104723693, ( -1), ( -1), ( -1), 280572759, 996953236, ( -1), 16790701, 637609161, 426372439, 599544336, ( -1), 568717411, 477579483, 713816688, 97764111, 559976667, 868676735, 446091973, 269528044, 95602577, 195714326, 80760500, 258879599, ( -1), 401047965, ( -1), ( -1), 591069874, 643174303, 484296474, 532796462, 578693958, ( -1), ( -1), 607540560, ( -1), 967590767, 928550206, ( -1), 442963629, ( -1), ( -1), ( -1), 432828404, 117403742, ( -1), ( -1), ( -1), 526644319, ( -1), 276050768, ( -1), 177342285, 584958628, ( -1), 225610127, ( -1), 280675384, ( -1), 526326342, 368609974, 20571532, 237529427, 516441417, 232990198, 472394474, ( -1), 736241949, ( -1), ( -1), 420705835, 576422245, 906370519, 830971975, 794533295, 916714987, ( -1), 11789418, 478986519, 761598002, 556247750, 463451300, 550194171, 76433929, 400802884, 127075995, ( -1), 620822954, 74404707, ( -1), ( -1), 649042947, 380725177, ( -1), 185329365, 141865088, 366274670, 448597552, 217062032, 852051312, 191713522, 745902793, 611339196, 977204220, ( -1), ( -1), 818664235, 313708431, 819321076, 202656402, ( -1), ( -1), 707589966, ( -1), 102345053, ( -1), ( -1), 743035174, ( -1), 833832976, 947581473, 585633773, ( -1), 861874396, 969562686, 493778318, ( -1), 835418692, ( -1), 20489963, 693915184, 465979007, ( -1), 486332522, 479091690, ( -1), 28601319, 446854120, 619066509, ( -1), ( -1), 328783820, 65884710, ( -1), 910973530, 8985090, 462273784, ( -1), 235104691, 623534378, 509049486, 243698256, 592579091, ( -1), 162903809, ( -1), ( -1), 737650052, ( -1), 507390177, 228285538, ( -1), 40949679, ( -1), 743343490, 357658484, 742023256, 925922665, 531536789, 46701116, 759687064, 695453435, 75486521, 472603436, 289318036, ( -1), 323116614, 946035704, 775417087, ( -1), ( -1), 482983189, 747988784, 760593307, 554636167, 209298646, 244893829, ( -1), 765651376, ( -1), 448702164, 853304795, 193591080, ( -1), 522533187, ( -1), ( -1), 825658196, 942134017, 946473536, ( -1), 116781071, 25699618, 995618588, 329753919, 830246345, 187263993, 528107439, 347059155, 362486460, ( -1), 346476754, 932727565, 631081170, 635085292, 901433093, 767004887, 436401927, 935374666, 918427231, ( -1), 994821106, 769848550, ( -1), ( -1), 873610335, ( -1), 182495642, 624071830, ( -1), 491978190, 90146978, 574454000, 929863009, 138233896, 872170673, 663688933, 913656291, 77556305, 957131620, 726473110, ( -1), 575216734, 285522896, 719830892, 887768399, 958325352, 447791958, 95634426, 757273657, 555190381, ( -1), 480483961, ( -1), 89019224, 43945650, 28548208, 255635483, 49551986, 421727616, 604984486, 109429085, 70198389, 69241975, 497639078, 688721084, 754814740, 575490694, ( -1), 325676881, 995367164, ( -1), ( -1), 878128291, 612603542, 276720154, ( -1), 928847212, 555133316, ( -1), 748157828, 662706994, 865972216, 116607796, 810322997, 870647575, 137919118, 246124908, 561500203, 410389517, 154213076, ( -1), 911056100, 876187362, 991245585, 251600409, ( -1), ( -1), 309064164, 343219471, 215428387, ( -1), 6967192, 111123288, 770185150, ( -1), ( -1), 640121741, 206497895, 865622971, ( -1), ( -1), 333701006, ( -1), 513710392, ( -1), 149393164, 75662124, 6088179, 373728546, ( -1), ( -1), ( -1), ( -1), 990247160, 864396402, 923055579, 344210193, 556881499, 619098728, 729226112, ( -1), ( -1), 779775141, ( -1), 964966923, ( -1), 233593128, ( -1), 184658617, ( -1), 553827012, ( -1), 345862351, ( -1), 86452491, 675012810, 899192419, ( -1), 111352730, 468057359, 497924771, 675983537, 298507150, 713270250, 892555689, 143615715, 282044606, 108477267, ( -1), 136633120, 768884213, 816426343, 119225883, 809935502, 383593327, ( -1), 241016567, ( -1), 203952041, 78323929, 647683748, ( -1), 590858854, ( -1), ( -1), ( -1), 76826346, 875966210, 887107080, 639820029, ( -1), 852940380, 822225281, 66399855, ( -1), 987177063, 45051619, 630312185, ( -1), 946003788, ( -1), 439898094, 88787139, 375277416, 810108881, 676463494, 43906293, 708423085, 275598114, ( -1), 565534191, ( -1), 668702940, 16625508, ( -1), 99177122, 912024990, ( -1), ( -1), 228921448, 525564855, ( -1), 725662071, 116108440, 139850220, 392140659, 398809427, ( -1), 77587949, 404519240, ( -1), 479672630, 861107761, 49604331, ( -1), ( -1), 81648046, 655273680, 521690521, 849889736, 282673640, 101983545, 556692219, ( -1), ( -1), 144795227, 6902498, ( -1), 421731543, 170341723, 387797642, 892315876, 390698419, 841031035, 140731821, ( -1), ( -1), 969155056, ( -1), ( -1), ( -1), ( -1), 313499010, 65091140, 352828075, 678281919, 558442615, ( -1), ( -1), ( -1), 360962580, ( -1), 468786446, ( -1), ( -1), 196270080, 542168650, 282632328, ( -1), 161428746, 817126446, 418631583, 693353193, 988089819, ( -1), 359347970, ( -1), 181036969, ( -1), 409080378, 704545833, 875123765, 276945940, ( -1), 326239946, 890816583, 829987796, 322190296, 150244518, ( -1), 91565598, 716776342, ( -1), 2882583, ( -1), ( -1), ( -1), ( -1), 504444277, 861138930, 425969182, 509016441, 300794658, ( -1), 831408061, 614238457, 694792506, 135647384, 80492488, 98962718, ( -1), 941600615, 839908430, 703990219, 777285005, ( -1), 885705339, 280244664, 46569505, 58866638, 785597806, 599867191, 589767695, 141550193, 364084167, ( -1), 488592875, 841328724, 640999075, 802998097, 815483666, 171718158, ( -1), 404026306, 316487512, ( -1), ( -1), 430525073, 732558777, 625844737, 732077318, 757728751, ( -1), 343210008, 222050848, ( -1), ( -1), 822021960, 573359830, 341280587, ( -1), 911075124, 665640918, 392864997, 971250432, 167813507, ( -1), ( -1), 43067466, ( -1), 944433087, ( -1), 940798142, 368406809, 568222184, ( -1), 705613456, ( -1), ( -1), 424968503, 698559311, 842657188, 746556863, 429157718, 416093742, 803710764, 57576120, 879955541, ( -1), 860658326, 926192918, 367415807, 523953708, 722832976, 142671423, 627826959, 32283995, 942284607, 32490276, 749395729, 511090537, ( -1), 197878989, 823255008, 413459745, ( -1), ( -1), 351535027, ( -1), ( -1), 909377329, ( -1), ( -1), ( -1), 419259478, 449836463, 131550205, 614690196, 855623283, 175059886, ( -1), 719393414, ( -1), ( -1), 748092393, ( -1), 808226335, ( -1), 724351129, ( -1), 660929795, 522605417, 683480663, 165834072, 808271059, 676552877, 199313038, 991816472, ( -1), 776217466, 569236190, 205023096, 798832621, 579187146, 646465159, 176958313, 677572694, 475953554, 673135076, 968598925, 780333287, 423723364, 261486891, ( -1), 385012529, 858117933, 468136258, 158201101, ( -1), 942482778, 79718956, ( -1), 520729396, 448059479, 724491298, ( -1), 73960255, 867548337, 274264005, 386328277, 416758030, 169591985, ( -1), 997016466, ( -1), 719048240, 95274138, 496353031, ( -1), 371226684, 284989962, 848046446, ( -1), ( -1), 701491271, 951685690, 180516614, 785959041, 610153171, 960457643, ( -1), 287506238, 287157877, ( -1), 557718289, 671206193, 746896759, 127009402, 314680869, ( -1), 246950313, 120803131, 365055328, ( -1), 76883162, 390725797, ( -1), 157259488, 698148445, 875417247, 424588688, 239944579, ( -1), ( -1), 708020169, ( -1), 243832704, ( -1), 341030907, 589696691, 699319767, ( -1), ( -1), ( -1), 825263648, 118713722, 704250023, 306640597, 234164359, ( -1), 462481964, 214337877, 639171814, 824691828, 583835024, 622796502, 548668077, 400447172, 403311047, 940625190, ( -1), ( -1), ( -1), 136307919, ( -1), 151774686, 719917170, ( -1), 301685540, 853767249, 932264865, ( -1), 557325550, ( -1), 14726915, 896668024, ( -1), 46729121, 849935810, 61835270, ( -1), 538933733, 416571426, ( -1), 206058750, 52384218, 868310728, 864650059, 983394588, 328534250, 572845248, 150067093, 28198494, 684738695, 187432652, 852801674, ( -1), 497016702, 913481621, 214162215, ( -1), ( -1), 924573664, 94988594, ( -1), 119252846, 376394301, ( -1), ( -1), 204456898, 395583045, ( -1), ( -1), 524823355, ( -1), 83353355, 692993265, ( -1), 329184757, 482362193, 260062143, 212754296, ( -1), ( -1), 297715316, 492987689, 345066118, 464804435, ( -1), ( -1), 895041284, ( -1), ( -1), ( -1), 338731572, ( -1), ( -1), ( -1), 78896876, 531138823, 756070779, 619836795, ( -1), 24884933, 378413256, 996784218, ( -1), 214185569, 455633356, ( -1), ( -1), ( -1), 144547857, 47229076, ( -1), 638230814, ( -1), ( -1), ( -1), 466396402, ( -1), ( -1), 429324992, ( -1), ( -1), 706144513, ( -1), 371197276, ( -1), 485703782, ( -1), 487277927, 192685791, ( -1), ( -1), ( -1), 37606051, 7647074, 405481517, 271399297, 538164713, 436295735, 393563899, ( -1), 775367742, ( -1), 88456608, 158913591, 909013492, 28203991, ( -1), 711364064, 284073562, 941201164, ( -1), 441705914, ( -1), 704882955, 485518210, 475281013, 968295506, 185395857, 203576887, 278839136, 163554945, 450821324, 808555615, 222293490, 44559946, 181425940, ( -1), 144554100, 999433651, ( -1), 913480733, 147679744, 966716201, ( -1), 901586446, ( -1), ( -1), 53780499, 268944042, ( -1), 269169016, ( -1), 152117252, 472558181, 74854129, 390008862, 322522684, 578849450, 97378834, 186796995, 19556240, 863470654, 307378544, 361659168, ( -1), 117343765, 585761812, ( -1), 979329328, 364323903, 670618507, ( -1), ( -1), 213969532, 717226981, ( -1), 503669913, ( -1), 993344630, ( -1), 405343337, 196822940, 974075540, ( -1), ( -1), 720357730, 442384218, 114000753, 300909920, ( -1), 512413651, ( -1), ( -1), ( -1), ( -1), 106811916, ( -1), ( -1), 70009280, 70543555, ( -1), 566013734, 721931668, ( -1), 869951800, 678741000, 957949542, 195338198, 946211975, 985959515, ( -1), ( -1), 296191376, 273431931, ( -1), 102858506, ( -1), 10280196, ( -1), 581758578, 95278462, ( -1), 571007300, 986953304, 109362819, 988307755, 333748398, ( -1), ( -1), 154471162, 452605412, 889852721, ( -1), 169116732, 519343924, 59423063, 539668505, 956131456, 548245297, 428397352, 166008597, ( -1), 90083066, 246907835, 299895833, 159716116, 449030433, 737890718, ( -1), 517782490, 377921373, 639974571, 48639180, 934658476, 597610861, 277408701, 42600188, ( -1), 139778180, 850355824, ( -1), 711132790, 436848835, ( -1), 349057789, 909399903, ( -1), ( -1), 865897371, 256021748, 267277841, 183086542, 944868151, ( -1), ( -1), 675365276, ( -1), 659305743, 472423435, 614683377, ( -1), 49202041, 919942469, ( -1), ( -1), 395122232, ( -1), ( -1), 674796311, ( -1), 464993558, 131638153, ( -1), ( -1), 479309135, 724991678, ( -1), 712179604, 125189597, 955985403, 463396771, 476166574, ( -1), ( -1), 368276686, 621672479, 243815817, 410350847, ( -1), 963975867, ( -1), ( -1), 982182813, 899777803, ( -1), ( -1), 20317486, ( -1), 35458099, 267441564, 638371497, ( -1), 372007008, ( -1), 213766149, 178544884, 435672151, 953520841, 737537876, 694931180, 383305537, 13275828, ( -1), 140559960, ( -1), 982181439, 429467897, 717936906, 335507635, ( -1), 350947110, ( -1), 411112436, 587451321, 794242978, ( -1), ( -1), 158426797, ( -1), 265926699, 325740586, 825501008, ( -1), 530309204, 609410251, ( -1), 428117666, 206915352, ( -1), 256959361, 3111454, 595906313, 996081060, 614946847, ( -1), ( -1), 74230531, 582701903, ( -1), ( -1), 412525580, 515416544, 287010735, 183373501, 443023544, 807865024, 60854371, 181321331, 690614145, 27268908, 861771537, 607374276, 299661911, 990069117, ( -1), ( -1), 219185896, 459132843, 373810727, 87550171, 811592520, 920296778, 748567445, ( -1), 127463360, 416340823, 545347486, ( -1), ( -1), 716512470, 289124176, 34296567, 271837198, ( -1), ( -1), ( -1), 549140728, 196258140, 885208850, 144026506, 653992233, 541085906, 224645392, ( -1), 876481973, 70621799, 232259629, 146890687, 8620482, 240107040, ( -1), 439688379, 454122279, 22468772, ( -1), 972964073, 672115537, ( -1), ( -1), 388194593, ( -1), 169648688, 68515200, ( -1), ( -1), 899916279, 100425591, 78673535, 889869499, ( -1), 605612787, ( -1), 605737977, 639087588, 576747858, 857166750, 860777540, 586801779, 12679980, 893800054, ( -1), ( -1), 112678737, ( -1), 742101456, 798992653, ( -1), 719987325, 818933973, ( -1), ( -1), 689506680, 746630098, 671900751, 994757353, 758647241, 464550309, 300408312, 964723712, ( -1), 297299896, 258948760, 436168436, 818988333, ( -1), 487429170, ( -1), 885139678, 608977920, ( -1), 42775189, 999447343, ( -1), 350774982, 944868740, 538541669, 764414145, ( -1), 258703370, 767734564, 122761803, ( -1), ( -1), 845840855, 989713585, 513562234, 659825409, 135289244, ( -1), 220052834, 516431992, ( -1), ( -1), 820388019, 647537648, ( -1), ( -1), 438827997, 80438261, ( -1), ( -1), 228303740, 257392779, 525123161, 970637778, ( -1), 588345081, ( -1), 906570688, 84744281, 515456801, ( -1), 775102930, ( -1), ( -1), 192159162, 293141908, 136582197, 746116945, 9327347, ( -1), 4716562, 210828891, 475509111, ( -1), ( -1), 910846236, ( -1), 140264826, 693606342, 714755023, ( -1), 591204824, 940750233, ( -1), ( -1), ( -1), 285014528, 847565968, ( -1), 765575294, 919767584, 452755745, 244974596, 440835990, 387232569, ( -1), 921015449, 523710968, 18841607, 338924222, 369213793, ( -1), 969271133, ( -1), ( -1), ( -1), 510823121, 29903160, 50672171, ( -1), ( -1), 664852515, 103373426, ( -1), ( -1), 866216239, 306011624, 74011862, 165043953, ( -1), 636143842, 363143270, ( -1), 766770226, 724670969, ( -1), 465947084, ( -1), ( -1), 352384766, 561286876, 343000348, 78811062, ( -1), 143302285, ( -1), 583563885, 58748512, 444324948, 538511034, 522682389, ( -1), 163222093, 80169079, 574550048, 665316333, 374712730, 405133608, 952619824, 286607927, ( -1), 853428694, 976424416, ( -1), ( -1), ( -1), ( -1), 430056181, 27625930, 777172382, 682709068, 738191956, 618714541, 420101043, 971486273, 791976863, 914178057, 66260413, ( -1), 26294886, 303337495, ( -1), ( -1), 657110112, 795463290, 193751658, ( -1), 863622475, 988873728, ( -1), 680608320, 415705485, 498111575, 640148679, 101917309, ( -1), ( -1), ( -1), ( -1), 708386884, 671346469, 185965932, 288711825, 383838167, 850884585, 871528532, ( -1), 602196127, 545431637, 155650672, 323653315, 426314652, 412316897, ( -1), 602853820, 45053735, 616669500, 543684075, 777740330, 672118951, 585988998, ( -1), ( -1), 531763396, 519563018, 524335666, 326081222, 962528855, 58861895, ( -1), 650115967, ( -1), ( -1), 837104568, 905315377, 33354359, 209448003, 462868051, ( -1), ( -1), 153585566, ( -1), 622323217, 251540100, 301938563, 859244686, 185871874, 52821249, ( -1), 622769786, ( -1), 914332844, 581982067, 659212596, 341559655, 368713115, 836635749, 367237892, 237912233, 240477609, 93839185, 902152531, ( -1), ( -1), 378118858, 137054004, 806741458, 609677104, 748905826, 903059661, 179323279, ( -1), 375067027, 695157846, 529077195, ( -1), 940768753, ( -1), ( -1), ( -1), 194724435, 73058353, ( -1), 874838612, 277842638, ( -1), 592235592, 358594485, 840956613, 651298204, ( -1), 619337894, 72742814, 848158058, 823806353, 903018068, ( -1), 383252663, 591274372, 497461481, 443882893, 347166294, 970095746, ( -1), ( -1), 295678841, 607129972, ( -1), 743673428, 907526502, ( -1), 578173077, ( -1), ( -1), ( -1), 411904696, 94724833, 740158708, 346625873, 913206295, 935786182, 924831035, 412929433, 103932402, ( -1), 662304930, 942884815, 551179679, 701799672, 405386912, 985745204, ( -1), 918966346, ( -1), ( -1), 651427009, ( -1), 911695911, 645493663, ( -1), ( -1), 947864439, ( -1), ( -1), ( -1), ( -1), 722372252, 920095823, 319714279, 385641284, ( -1), 216888855, 42854472, 915211908, 456483651, 708515340, 121777510, ( -1), 230579150, 427803550, 436649601, 654690095, 224159609, 422244902, 777042946, 242843543, 674059813, ( -1), ( -1), 46400257, 45822111, 345819774, 189235082, 369313761, 429301583, ( -1), 877581433, 693548827, ( -1), ( -1), 501302212, 170856370, 30444514, ( -1), 408780551, ( -1), ( -1), ( -1), ( -1), 826462170, ( -1), 336833208, 263651634, ( -1), 759281760, ( -1), ( -1), ( -1), ( -1), 724090218, ( -1), ( -1), 600184066, 501768821, ( -1), 762386612, ( -1), 271510997, 145427147, ( -1), 475816036, 535163290, ( -1), 176516778, 39065085, 170383965, 456379460, 612756946, ( -1), 443779424, ( -1), 834484621, 775147847, 307354049, ( -1), 327029536, ( -1), 983549204, 601150287, 412750535, 613033840, 765374113, 127130006, 839887435, 681857448, ( -1), 210386191, 100362367, 196718424, 209724382, 640823941, 118076661, 339574720, ( -1), 266591167, ( -1), 151173502, ( -1), ( -1), 994070855, ( -1), 890949368, 786295358, 162905229, 159616677, 392523923, 459700746, ( -1), ( -1), 58878362, ( -1), ( -1), 478162048, ( -1), 415865294, 505045086, 519501775, 659977186, 298098273, 768590038, 627087896, 29247096, 368939602, 128086313, 568360220, 309436471, 728915346, 669543085, ( -1), ( -1), 244388958, ( -1), 488130373, ( -1), 929947718, ( -1), ( -1), ( -1), 143669852, 328257512, 808377130, 627609712, 563106279, ( -1), 459316859, 1213042, 639109815, ( -1), 53185360, 788167067, 312394062, 388796824, ( -1), ( -1), 504580189, 537536767, 567544365, 425896182, ( -1), 114053569, ( -1), 773901798, 139506974, 148523269, 674307214, 897362997, ( -1), ( -1), ( -1), 766194485, 407710391, 791324656, 952420681, 398550687, 177097733, ( -1), ( -1), ( -1), ( -1), ( -1), 661414606, 404192958, 392121098, 620111507, 437890545, 182251254, 158213879, 839719861, ( -1), ( -1), ( -1), 672946067, 298065716, 807536603, 774560856, ( -1), ( -1), 21317709, 234898439, ( -1), 246549471, ( -1), 286187143, 567419797, 683994845, 184645975, 527993734, 3455761, ( -1), 906750638, 456688835, 741821833, 460140841, ( -1), 497683020, 30389050, 231639644, 261054700, ( -1), ( -1), ( -1), 576502819, ( -1), 770441950, ( -1), 756062059, ( -1), 349746147, 994314739, 151159986, ( -1), 233797875, 628580425, 672334273, 653461748, 358757056, 658596099, 465510256, ( -1), 434440308, 330249616, 285607626, 87171350, ( -1), ( -1), 785765490, 333481955, 672593715, ( -1), 251840993, 257597004, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 856324611, 472272002, 77306788, 158831788, 167094144, ( -1), ( -1), 772233018, 600574002, 659288370, 855981030, 620033319, 711145097, ( -1), 368323264, ( -1), 949827254, 101495343, ( -1), ( -1), 586241830, ( -1), 104204753, ( -1), ( -1), 291796205, ( -1), 562094137, 655024686, 10476985, ( -1), 447868103, 973469776, 550025495, ( -1), 21144668, ( -1), 58276111, 980680460, 262861677, ( -1), 710594377, 223081756, 84831942, 796506619, 602498343, 382641347, ( -1), 177736559, 550218934, 370247318, 132786394, 217563708, 132841957, ( -1), 685116950, 197959509, 510407991, 900639302, 806432663, 251248737, 168610427, ( -1), ( -1), ( -1), 877226839, ( -1), ( -1), 363470290, 767631024, 910832776, 679446408, 445608085, 346985324, ( -1), 598308238, 116795377, 597627534, ( -1), 129872977, 2197853, 662610826, 111064723, 228192054, 304593353, 538689999, ( -1), 369021189, ( -1), ( -1), 746687246, 66217826, 878238511, ( -1), ( -1), 18102383, 77794584, 710481910, 666458922, 187669741, 657311587, ( -1), 818148610, ( -1), 685012513, 258937129, 133609809, 853618034, 950863299, 336848674, 31559754, ( -1), 364663747, 309828525, 328746200, 812683419, 21966409, 41081317, 40069069, ( -1), 140368090, 135728591, 465889482, 38838976, ( -1), 785619225, 619306214, 630461872, ( -1), 993840879, ( -1), ( -1), ( -1), 829582776, ( -1), 249127806, 546489322, ( -1), 303362804, ( -1), 87352822, ( -1), 177841807, 372585324, 831793050, 743652918, 931515985, ( -1), 963669091, 442373316, 135126958, 824188483, 534625511, 332300680, 176118055, 949412708, 244003400, ( -1), 684146549, 591629207, 788572123, 792930498, 373714540, 850086887, 867506391, ( -1), ( -1), 162276500, 221408871, ( -1), 709662485, ( -1), ( -1), 647153602, 914449524, 210972497, ( -1), 938703828, 577303795, 127675344, ( -1), 534941618, 606628173, 834281896, 512853074, 138892840, 193532222, 181533143, 136791453, 206338718, 944920978, 946788491, 403223441, ( -1), 895763895, 527771274, ( -1), 526994467, 679004037, 764262369, 539191944, ( -1), 129426700, 776627164, 215195940, 68099695, ( -1), 499149175, 414767432, 638933741, ( -1), 909135811, 80496893, ( -1), 354426733, 476427729, 649155047, 967260243, 656560019, 660606550, ( -1), ( -1), 406863904, ( -1), ( -1), 364672479, ( -1), 921597405, 563940702, 975963539, ( -1), 828474617, 429130799, 115218056, 368865276, ( -1), 720577894, ( -1), 417182749, 563815992, 479732238, 148828990, ( -1), 865608095, 775927854, 892259786, 358203639, 879953487, ( -1), ( -1), 950347989, 271431206, ( -1), 849335971, 512447393, 392694911, ( -1), ( -1), 186443407, 607739698, 87620928, 461571634, 96759930, ( -1), 969314990, 881475184, ( -1), 996016868, 738673747, ( -1), ( -1), 438589912, 641942424, ( -1), 160721331, 7309751, 703368574, 353265612, 471323785, ( -1), 713665832, ( -1), ( -1), ( -1), 524422300, ( -1), 580669197, ( -1), 286104779, ( -1), ( -1), 115712872, 556275051, ( -1), 892160523, 30455191, 962977878, 442574809, 938607637, ( -1), 550052054, ( -1), ( -1), ( -1), ( -1), 408968252, ( -1), ( -1), 85697449, 428192040, 852619974, 135134154, 1121742, 2469548, 566076822, 87518758, 295356615, ( -1), 331557499, ( -1), 505887289, 1067848, 911426558, 338997960, 741053265, 909244799, 60014214, 490973792, 12338878, 59644595, 493782463, 529885282, 607934934, 144960372, 436569326, 291404168, 144533121, 540603574, ( -1), 785999662, 818567071, ( -1), ( -1), ( -1), 336035371, 428269044, ( -1), 181479874, ( -1), 305058463, ( -1), ( -1), 412855628, 650309886, ( -1), 816651977, 142076004, 938179966, 702880339, 948516048, 148927405, 280469992, 347962113, 652138350, 498487012, 886930941, 917845818, 761929107, 367061871, ( -1), ( -1), 972867130, 860873014, 965476876, 656012280, 436432612, 115279841, ( -1), 752943969, 282921140, 412987357, 560600158, 192101815, ( -1), 686567268, ( -1), 118550093, 710803024, 43756385, 357869073, 149711684, 396637852, 580191126, ( -1), 817140330, 164787714, ( -1), 803487837, ( -1), 37083982, ( -1), ( -1), ( -1), 359719144, 656660935, 770095765, ( -1), 938307580, ( -1), ( -1), 647566603, ( -1), 617295150, 103390761, 506477304, 545682051, 858648136, 205833587, 143773201, 560499852, ( -1), 418942733, 330505299, ( -1), 662322529, 651301607, ( -1), 167766270, 389121531, 182319697, ( -1), 833258751, 413388905, 896947699, ( -1), 731816386, 895724278, 25786695, 158571000, 627264659, 755133038, 590534172, 775697181, 686539207, 95680000, 151603038, 897977434, 991412142, 861306630, 638822975, 174867936, 852948700, 555167229, 653687887, ( -1), 471340165, ( -1), 802327090, 593012820, 377135102, 171418862, ( -1), ( -1), ( -1), 113325743, 243917909, 476213338, ( -1), 115350678, 19695525, 340259810, 465743152, ( -1), 690749450, 997362815, 306483354, 285166770, ( -1), ( -1), ( -1), 29582861, 746347826, ( -1), 112305722, 880215163, 356949463, 542429167, 823528769, 304160880, ( -1), 632086189, 279850933, 37505272, 71571873, 807204088, ( -1), 576239334, 234317961, 52682522, 594066558, 402412398, ( -1), 696401210, 648053462, 608520403, 987327282, ( -1), ( -1), ( -1), ( -1), 146036765, 990623344, ( -1), 164290145, ( -1), ( -1), 5168295, 652215662, 665176186, 239567161, 952315631, ( -1), 697202027, 738533343, 60070126, ( -1), 775071490, 619318823, 566202137, ( -1), 174646557, ( -1), 945396239, 116893785, 820298331, 623621330, 558133309, 242824248, ( -1), 332885692, 960916353, 41331926, ( -1), ( -1), 812077653, 926012725, 411009201, ( -1), 633484528, 388648519, 136044076, 732936268, ( -1), 729220855, 872404279, 237144572, ( -1), 503501789, 299304711, 864383974, 362088446, ( -1), 243621870, 129983523, 508452288, 908193521, ( -1), 381778428, ( -1), 61134340, 561035506, 696840173, 88668028, ( -1), 391129230, 541168365, 812890221, 292601902, 114996217, 780202761, 433464812, 698248710, 126173737, ( -1), ( -1), 945141978, ( -1), ( -1), ( -1), 379270357, 800552158, 331640165, 488787853, 78365862, ( -1), ( -1), 744219074, 923753342, 34510639, ( -1), 816853634, ( -1), 219548899, 877560241, 957246370, 448179168, 44580696, ( -1), ( -1), 171652438, 672473710, 916315428, ( -1), 212363158, 487870248, ( -1), 486345642, 441316697, 317595958, 595177106, ( -1), 889870395, 474578061, 179547553, 422444193, 625456028, 743355052, ( -1), ( -1), 504132395, ( -1), 669523430, 424677339, ( -1), 324858616, 692210880, 65919512, ( -1), 797168080, 788105399, 38596640, 808321598, ( -1), 938135220, 178798614, ( -1), 115120245, 536967095, 701489562, ( -1), 141591638, 419658812, 240424631, 344434984, 791121566, 386910106, 724713635, 523377328, 839709589, 954070464, 996736117, ( -1), 659356342, ( -1), 935202725, ( -1), 953249260, 767434245, 974977785, 822618453, ( -1), 447980172, 552027563, 636315657, ( -1), 731479833, 671709675, 869896124, 638232092, 412460696, ( -1), 549295271, ( -1), ( -1), ( -1), ( -1), 54348285, 622255951, 276270988, 773818300, ( -1), ( -1), ( -1), 147951459, 758079956, 656720255, ( -1), 711737275, 906000076, 991233784, 863563049, 918683432, 798276826, 864931131, ( -1), 983703338, ( -1), ( -1), 824404541, 62082741, 436254678, ( -1), ( -1), 707812881, 878701071, 918113518, 978731237, ( -1), 723771129, ( -1), 510186446, 789404901, 943041532, ( -1), 701130061, ( -1), 459011624, 617131501, ( -1), 763491468, 883509795, 139562563, 342167656, 898699880, 138738860, 440625048, 655335492, 59131957, 308891429, 697520765, ( -1), 384110961, ( -1), 806071719, 256412063, 748348471, 487200488, 387685886, ( -1), 811736554, 792168271, ( -1), 618982775, 196101642, 648422080, 29878978, ( -1), ( -1), 196501874, 311266912, 637235957, 689312226, ( -1), 211446885, 116557441, 633093012, ( -1), 924792169, 953158123, ( -1), 442141509, 745135785, 248445092, 122208945, 719824099, 407571128, ( -1), 780925822, 350726796, ( -1), 864095396, 563907361, 637181130, 891046172, ( -1), ( -1), 990391026, ( -1), 953429126, 948593786, 26165471, 863114969, ( -1), 213757500, 99209530, ( -1), ( -1), 875142789, ( -1), ( -1), 989521577, ( -1), 60678020, 774170620, ( -1), ( -1), ( -1), 246697505, 158541279, ( -1), 751008308, ( -1), 323610316, 89810068, 883714098, 960318170, ( -1), ( -1), 80078299, 441896200, ( -1), ( -1), 64405745, 531037994, 586770346, ( -1), 43919327, ( -1), 316275792, 647536834, ( -1), 96357760, 970242371, 986661522, 773008150, 264489218, 976974729, ( -1), ( -1), 766844833, 43908836, ( -1), 963176891, 484463412, ( -1), ( -1), ( -1), 449765695, ( -1), ( -1), ( -1), 220626205, 570092253, ( -1), 45047725, ( -1), 66970355, ( -1), ( -1), ( -1), 870414366, 281130619, ( -1), 175581347, 423319008, 924480632, 528179986, ( -1), ( -1), 424210376, 939717960, 998768333, ( -1), ( -1), ( -1), ( -1), 39486984, 191192664, 124593776, 811174047, 986325181, ( -1), 243890974, ( -1), ( -1), 31426360, ( -1), 904549196, 622124023, 757648446, 734921668, 521762322, ( -1), ( -1), 551293026, 268028884, 280296993, 7150553, ( -1), ( -1), 813738811, 705557368, ( -1), 361848247, 305608213, 126870719, ( -1), 235072331, 781148870, 782400179, 472101254, 127163146, 191641756, ( -1), ( -1), ( -1), ( -1), 443835815, 780829240, 197168921, ( -1), 569449294, 823412735, ( -1), 920333358, 424265082, ( -1), 626329160, ( -1), ( -1), 610241164, 785065122, ( -1), ( -1), 493323005, ( -1), 315958356, ( -1), 515464913, ( -1), 843350617, 990235346, 402854977, 381321642, ( -1), 647709470, 568671965, ( -1), 801420905, 762473200, 517203122, ( -1), ( -1), 254951008, 890061617, 80034917, ( -1), 147605225, 809190171, 267616995, 567591261, ( -1), 928619650, 435022934, ( -1), 703290049, 384412463, 905880688, 474605928, 400293887, 509609062, 990777777, 678579177, 605723582, 655647878, ( -1), 16231596, ( -1), 306347241, ( -1), ( -1), ( -1), ( -1), 46038526, 987823668, 747383016, 549170005, ( -1), ( -1), 567298684, 717642010, 771110322, ( -1), 342905202, ( -1), ( -1), ( -1), ( -1), 331764780, ( -1), ( -1), 986141760, 560029764, ( -1), 820613754, 446116234, 104469296, 948726240, ( -1), 280215830, 710080434, ( -1), 240618140, ( -1), 894411325, 837635074, 173485359, 551556930, 622339739, 492604677, 822625277, 797598816, 956416285, ( -1), ( -1), ( -1), 72175010, 748720501, ( -1), 890186471, ( -1), 758386919, 822983470, 703185819, 476573402, ( -1), ( -1), 95457812, ( -1), 815482647, 769005300, 99160034, ( -1), 994594291, ( -1), 779223171, 278447920, 61709099, 774406561, 424489505, 465504860, 930576956, 360331906, ( -1), 818596167, 883644772, ( -1), 189552372, 59428799, ( -1), ( -1), 794367404, 701958277, ( -1), 21199107, ( -1), 90620979, ( -1), ( -1), 987285458, 538908500, 30761141, 493190206, 861856359, 380759418, 96018130, 420916749, 699846974, 70520871, 799065665, 429905798, ( -1), ( -1), 401692834, ( -1), 860659629, 616744033, ( -1), 880178099, 356774954, 263050955, 228391037, 457148974, ( -1), 593743734, 734562170, 454959138, ( -1), 79130129, 861818806, ( -1), 590541448, 245037476, 497048461, 893167987, ( -1), ( -1), 400471361, 537378491, 643953214, ( -1), ( -1), 252615933, 314323563, 15926931, 399169995, 302314059, 580327774, ( -1), 340312031, ( -1), ( -1), 513972644, 667342483, ( -1), 236044041, ( -1), 147459390, 968451880, 160719873, 45572462, 540436156, 592553521, 795411485, 957437951, 272047565, ( -1), ( -1), 638084786, 141038879, 919976604, 957456287, 682592686, ( -1), 490112497, 976295730, 693457859, 410290722, 103922867, 22122512, 829089026, 971585410, 777869085, 383497698, ( -1), ( -1), ( -1), ( -1), 634480582, 77064101, 766774430, 917823500, 168147808, 744367369, 566873058, 727147398, ( -1), 907368323, 865901734, 237016687, ( -1), 180876475, 808283367, ( -1), 351713294, 812761821, 137894972, 183737394, 594313703, ( -1), 175460089, ( -1), ( -1), 641154985, 863697535, 390200386, 661291796, ( -1), 201285596, 223202804, ( -1), 318728754, 790095385, 517556467, 275643095, 991313296, 328287218, 518159897, ( -1), 511168489, ( -1), ( -1), ( -1), ( -1), 343283406, 842001274, 791249115, 498737616, 698388442, 220976811, 336007807, 680016047, 605763078, 883712603, ( -1), 277850178, 681833115, 273868603, 452117856, 390843407, ( -1), ( -1), 947836000, 21895467, 190480983, 126243690, ( -1), 575641323, ( -1), 784720022, 758433882, 523605156, 104247904, ( -1), ( -1), 594845383, 923590545, 121988569, ( -1), 517149881, 743931995, ( -1), 313149296, ( -1), ( -1), 871493956, 707548654, 174926440, ( -1), ( -1), 540771907, 804498833, ( -1), 939793516, 948211585, ( -1), 311976686, 677316971, 762005051, ( -1), ( -1), 904406545, 635219363, 343678374, 86690428, ( -1), 230351503, 545256547, 732286305, 238689867, 507878795, 992143778, 456380119, 325949673, 786879869, 984301487, ( -1), 208894835, ( -1), ( -1), ( -1), ( -1), ( -1), 117792770, 103841049, 490774530, 724197179, 809861399, 223854900, 185735847, ( -1), 145792653, ( -1), 696344948, 987084643, ( -1), ( -1), 398163918, 106189333, 58483036, 766693009, ( -1), 185216977, 325925276, 699896221, ( -1), 183807787, ( -1), ( -1), ( -1), 927395913, 382417021, 860865964, ( -1), 379236705, 587949996, 938676419, ( -1), 953321147, 898433951, 167576278, ( -1), 541347806, 663189878, 613452711, ( -1), 539700554, 80301334, ( -1), 253681860, 269610713, 927662435, 322682623, ( -1), 326088589, 641582035, 498478213, 263526409, 131078664, 215801972, 842394457, ( -1), ( -1), 463617956, ( -1), 574518091, 261103723, ( -1), 419268396, ( -1), 925519770, 602060998, ( -1), 98425068, 406946019, 184336852, 209209585, 75878576, 357403047, ( -1), 37167692, ( -1), 842282609, 326365143, ( -1), 153811466, ( -1), ( -1), 701545371, 210970904, 861788706, 331443367, 341796821, ( -1), 406997319, 680120289, 680928456, 711324201, 304152821, 823379905, ( -1), ( -1), 624573189, 506992602, 668183181, ( -1), 503458611, 806949312, 381016745, 320557722, ( -1), 347367215, 170670586, 418406224, 630383621, ( -1), ( -1), 426824844, 208117409, 277507761, ( -1), 325270429, 801276170, ( -1), ( -1), ( -1), 236501367, 392067331, 315007347, ( -1), 233420323, ( -1), 4554033, 20672137, 954463396, 382360677, 950548515, 34241546, 840026191, 754245500, 159735234, 659651291, 916562250, 796468237, ( -1), 755793473, 525278255, 603599507, 591575684, ( -1), 304830137, ( -1), 432647270, 555148038, 535639983, 231399113, ( -1), 3456004, 500611975, ( -1), 179275444, 25383732, ( -1), ( -1), ( -1), 332848307, 691689025, ( -1), 152226702, 449705592, 441735615, ( -1), 163836471, 449280458, ( -1), 67211925, 942766151, 906910043, 33127467, ( -1), ( -1), 109080491, 114124895, 901724979, ( -1), 274146975, ( -1), ( -1), ( -1), 678055266, 405558815, 860401883, 919391863, 505411348, 659873732, ( -1), ( -1), 516784238, 278244197, 167521388, 480288424, 729410311, 366775969, ( -1), 293942798, 903660542, 741748769, ( -1), 871093601, 773319281, ( -1), 357407252, 528367468, 535836676, ( -1), 471917171, 139277944, 855941136, 285691683, ( -1), 168883271, ( -1), 188995964, 305569117, 839912542, 527505116, 423692885, 861304871, 865223711, 571296107, 515438242, 39853288, 3668088, 874096906, 444886179, 791034202, 315530078, 693415447, 333073012, ( -1), ( -1), ( -1), 22856337, 490256513, 481511138, 622152279, 898907952, 514427018, ( -1), 376796509, 715295138, ( -1), 704106432, ( -1), 245213217, ( -1), ( -1), 27481311, 445139024, 180055367, ( -1), 527644010, ( -1), 932045745, 522735964, 787935260, 498456519, 593076769, 480846969, 269275856, ( -1), 403202858, ( -1), 428822158, 897393984, 801502496, 696061739, 80010121, 24576360, ( -1), ( -1), ( -1), 759236759, 764193567, 539978070, ( -1), 881516282, ( -1), 804127614, 417413873, 648647949, 886879623, 633493514, 296861397, 555245218, 80145910, 134661392, 359870341, 281737094, ( -1), ( -1), 313469900, 568485602, ( -1), 50517707, 733606840, ( -1), 378649200, ( -1), ( -1), ( -1), 61858505, 661701559, 89401069, 800362680, 473363021, ( -1), ( -1), 308397096, ( -1), ( -1), ( -1), 78796687, 320876623, 813349121, 333364215, 826627895, 473228099, 272467609, 108816203, ( -1), 476733622, ( -1), 283106258, 613599955, 213028253, ( -1), 636323712, 30235318, 849529431, 42549571, ( -1), 21099617, 757422826, 332185281, 892819341, 459695008, ( -1), 321949185, 487705585, ( -1), ( -1), ( -1), 350180523, 495310546, ( -1), 848109219, ( -1), ( -1), 63747325, 84760574, 190566084, ( -1), 413532457, ( -1), ( -1), 545374164, 904891633, 539558505, ( -1), 62297103, 194756585, 314485238, 922161542, 169903070, 279285775, 225156023, 697131571, ( -1), 115581675, 112649426, ( -1), 69252105, 763810109, 258528422, 810317381, 769170101, 114204084, 712009363, 209916957, ( -1), 848172236, ( -1), 738823910, ( -1), 381410494, 647304267, ( -1), ( -1), ( -1), 822487351, 476042495, 307299382, ( -1), 497022550, 260101133, 339111924, 198658617, 91655730, 895044887, 597256709, 284765426, 705511284, 452539902, ( -1), 16289032, 704910403, 602745510, 584043082, 881945740, 575490227, 796501364, ( -1), 6149248, 322692175, 25471185, ( -1), 11859021, ( -1), 864552014, ( -1), ( -1), 420305896, 524222446, 16573532, 413953939, ( -1), 243998851, 513481151, ( -1), 470013883, 602575906, ( -1), 389563130, ( -1), ( -1), 162141989, 268364091, ( -1), 747982938, ( -1), ( -1), 618484969, 503419817, ( -1), ( -1), ( -1), 121629276, 60314790, ( -1), 972311420, 7053605, 22033389, ( -1), 629758007, 235079531, ( -1), 31268279, 277336225, 775809506, ( -1), 702083984, 403678442, 654871841, 907238657, 657837823, 584967743, ( -1), 879641789, ( -1), ( -1), 419670843, ( -1), ( -1), ( -1), 983823607, ( -1), 250914658, 104323111, 343579205, 430126467, 846927994, 3471531, 44282140, 304884918, ( -1), 854825517, ( -1), 718895672, 250686525, ( -1), 88159761, 945844340, 739993900, ( -1), 191007297, 333645739, 923505311, ( -1), 691050310, 117173893, 870791200, ( -1), 903503361, 236696336, 293443559, ( -1), ( -1), ( -1), 934450501, ( -1), ( -1), 122542345, 176789574, 188320018, 42252393, ( -1), 22797011, 791327444, ( -1), 442071770, 662578799, 786661696, 538765532, 894471543, 647870316, 32089053, 864335381, 167860611, 349922456, ( -1), ( -1), ( -1), ( -1), ( -1), 959610891, 88189090, 86182514, 971806951, ( -1), 497793523, 200196758, 604893401, 5180362, 795565735, ( -1), 366517196, ( -1), 937410978, 384406446, 477662605, 482677042, 259679517, 330279572, 598994957, 976139543, 927051648, 788787852, 767940352, ( -1), 24048633, 815786744, ( -1), 687653220, 904229869, ( -1), 781768075, 801301664, 804581906, 980262115, 817381581, 444234925, 522722266, 676043615, 288865362, 64557982, 62851433, 13876118, 650795814, 394279328, 121492599, 80610450, 291444153, 605051762, ( -1), ( -1), 834185293, 127205056, 694223373, 749725973, ( -1), 110748248, 978401894, ( -1), 220551679, ( -1), ( -1), 128588571, ( -1), 575686109, 858883285, ( -1), ( -1), ( -1), ( -1), ( -1), 995563127, 388047162, 381046687, 365459014, 461399468, ( -1), ( -1), 749919278, ( -1), 719516699, 676903359, 622960557, ( -1), 46448511, ( -1), 120281085, 284066261, 704603722, ( -1), 369754580, ( -1), 737549725, 325770436, 723142242, 864732574, ( -1), ( -1), ( -1), 435323039, 793523376, ( -1), 722754097, 631767328, 316308262, 82794481, 198597759, 506252028, 428203335, 52068566, 443966314, 190250626, 537794512, 647252958, 925913822, ( -1), ( -1), 158817201, 277530886, 688528175, 805010339, ( -1), 449948032, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 919263975, 868556635, ( -1), ( -1), ( -1), ( -1), ( -1), 428627088, 636971572, 99039420, ( -1), ( -1), 304690938, 4555556, 682257877, 940884159, 281872844, ( -1), 150732325, 814629958, 604656411, 116462016, 415155076, 735581945, 974102354, 392565700, 463048570, 58773437, 238612932, 178846187, 180268764, 227832620, 10817008, 621936711, ( -1), 113366243, ( -1), 677653835, 332129595, ( -1), ( -1), ( -1), 198130489, 681790561, 82609384, ( -1), 530168732, 754288255, 721451892, 289800195, ( -1), 351352967, ( -1), 316330137, 660419195, 275704040, ( -1), 36993695, 327619542, 568570111, 442277347, ( -1), 829196691, 442210417, ( -1), 600529770, 21161002, 33260084, 224005163, 602654179, 935932539, ( -1), 911808102, 678670536, 880932443, ( -1), 169232455, ( -1), ( -1), 535834312, 28353636, 546351382, 79041352, 559154628, ( -1), ( -1), 290648661, 626416687, 900274626, 120403113, 323751500, ( -1), 74658409, 341803992, 141030810, 188736493, ( -1), 849178456, ( -1), ( -1), 874903175, 629477662, ( -1), 706584410, 168236920, 989242735, ( -1), 939240015, 166142925, 684715220, 304929597, 753035557, 810350373, 291214982, 753691197, 197374547, 702418660, ( -1), 960963147, ( -1), 246559233, ( -1), 239715017, 559945655, 597161073, ( -1), 170391372, ( -1), ( -1), ( -1), 744333480, 341768474, 772325653, ( -1), ( -1), ( -1), 230533329, 240133544, 85026215, 213770002, 593490306, 293525728, 32650329, 999623254, ( -1), ( -1), 288360090, ( -1), ( -1), 543999216, 635989276, 24066802, 55606322, ( -1), 399746701, 813857750, 323380772, 47027987, ( -1), ( -1), ( -1), 424197408, 985611257, ( -1), ( -1), 375223344, 71944379, 680135297, ( -1), 964907926, 23121561, 674454874, 765121299, 693640003, 518959249, ( -1), ( -1), 60667928, 319241420, 824084014, 548836579, 108462780, 73147599, 463181721, 892280220, 630930647, 199355284, 204240808, ( -1), 32102810, 716256152, 236868997, ( -1), 946470775, 630258003, ( -1), ( -1), 589932081, 701379559, 982047759, ( -1), ( -1), ( -1), ( -1), 427029437, 979921145, 496008687, 278593548, 954955762, 537890307, ( -1), ( -1), 451820136, 772802673, ( -1), ( -1), ( -1), 475199182, ( -1), 176858482, ( -1), 277655161, 216283360, 81339585, 945499028, 124300669, 88830637, 518937349, 270958267, 378954451, 651697450, 139486198, 49093950, 200591000, ( -1), ( -1), 70517979, 803032993, 453856760, 780048130, 509575419, ( -1), 641595420, ( -1), 566075251, 425567722, ( -1), 795017193, ( -1), 350794744, 382554907, 5742417, ( -1), 161143453, ( -1), ( -1), ( -1), ( -1), 613554224, ( -1), 370607155, 161381607, 414781624, 405778934, 539041340, ( -1), ( -1), 260415397, 437198227, 849057841, 331738949, 417558726, 578779650, 914340242, 173343586, 987299232, 753146323, 539589454, 232952218, 356502888, 831111582, 885652311, ( -1), 848678108, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 658782287, 154176849, 44586669, 878679973, ( -1), 692616911, 19618109, 3479215, 235890921, 353961661, 281048000, 63485490, 419249821, 429181140, 473979313, ( -1), 38250986, ( -1), 385937590, ( -1), 462794986, ( -1), 857508221, 301837567, ( -1), 425452179, ( -1), ( -1), 783188080, 218065594, ( -1), ( -1), 734813607, 561776743, 588566293, 570452163, 93904975, 344381102, ( -1), ( -1), 954571259, 218948367, 199348583, ( -1), 74423287, 606859571, 230580642, ( -1), 298615240, 424235763, 972700877, 127777925, ( -1), 980177218, 438385983, 474060201, 116245857, 731899325, 186644280, ( -1), 743754699, 366942365, 109465545, ( -1), 740180698, ( -1), ( -1), 950968284, 382121059, 6043535, 696919359, 350639551, ( -1), 421067103, 65237392, 562085068, 631985202, 557930690, 409540040, ( -1), ( -1), 759675532, ( -1), 875142049, 878219197, ( -1), ( -1), 385029683, 289123827, 155814659, ( -1), 657804405, 69511440, ( -1), 215736969, 520817459, 74186251, ( -1), 765729966, 442629987, 365781954, 869348357, 868633208, 255682564, 202702601, 307871780, 623521702, 797981772, ( -1), 554671806, ( -1), 997019231, ( -1), 650802305, 458626044, 953120207, 487171673, 616261996, 68735707, 59754900, ( -1), 518968310, 484495742, 39332827, 168212436, 792759172, ( -1), 909162395, 338379025, ( -1), 691786690, 926803391, 542213132, 733884487, 883489285, ( -1), ( -1), 657045161, 938212896, 300611806, 619775123, 182842963, 396414984, ( -1), 439278166, ( -1), ( -1), 768925311, 481969397, 179396207, ( -1), ( -1), 533135780, 848240854, 618230816, 863462451, 684286721, 912639914, 446637225, 159265337, 935981496, 796659078, 584457476, 846562254, 585049056, ( -1), ( -1), 434232424, 529249929, 746554905, 285663561, 986362490, 993845820, 596618693, ( -1), 266502650, ( -1), 624751046, ( -1), 855631603, 511994134, 654637742, 842636063, 717252598, 739931187, ( -1), 75771772, 747462578, 761315560, 843314679, 18819496, 894979837, ( -1), 857747358, 182160834, 714582551, ( -1), 784592340, ( -1), ( -1), 390050211, 42952688, 490106038, 173848083, ( -1), 793488436, ( -1), 236310000, 964029070, ( -1), 457785810, 92479500, ( -1), 609036609, 811160053, 238873401, 540490703, 494982413, 49637497, 252062610, 845070783, 458902365, 764420811, 117499453, ( -1), 14320570, 196850417, 808720253, 694422036, 879957953, 90573259, ( -1), 727194878, 290419169, 841350406, 416198087, 10540854, 660445607, 547597434, 790870243, 79334811, 790437372, 526656635, ( -1), 423567803, ( -1), 723280131, 602345412, 110540756, ( -1), 865324171, 760047996, 994592340, ( -1), 167839930, 979140908, 403549437, 407329184, ( -1), 373411128, ( -1), 299839236, 844666870, 717992082, 784464339, 80376569, ( -1), 249264658, 1538889, ( -1), 308701132, 802855956, 319374612, ( -1), ( -1), ( -1), 305483204, 321092791, 241793904, ( -1), ( -1), 594650892, 982516464, 345912500, 526428657, ( -1), 701798740, 796872394, 209013429, 121785475, 725946432, 502118391, 336880640, 910315463, 556862764, 333321677, ( -1), 539571849, ( -1), ( -1), 703778309, ( -1), 24829334, 223377441, 547298985, ( -1), 73734454, 523288984, ( -1), 950022676, 302465833, 240809859, 355474023, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 569338934, 713348844, 48566204, 747729663, ( -1), 411434577, 446876801, ( -1), ( -1), ( -1), 868018128, 885906056, 810875332, ( -1), ( -1), 324154366, 464113551, 217048235, 131924961, 749688798, 41352417, 792631473, 814827496, 136794526, ( -1), 719993432, 661461823, 911644197, ( -1), 246890223, 406086911, 991794517, 579923408, ( -1), 891256037, 354092663, 216168508, ( -1), 877542933, 338635782, ( -1), ( -1), ( -1), ( -1), 634842728, 247841746, 2247680, 590439870, 942432782, ( -1), 708766753, 183445764, 625777998, 699272631, 975986551, 329465086, 951586678, ( -1), 776902153, 545248098, 933422182, 275670685, ( -1), 461584846, 894152342, 19770698, 499679306, 814697692, 356291390, 980969123, 498168376, ( -1), 942865587, 356248542, 969845134, 268316840, ( -1), ( -1), 423620316, 345850273, ( -1), 895640854, 365775607, 745062791, ( -1), 165578903, 264794203, ( -1), 206399418, 225435573, 435222658, 587085616, 97202875, ( -1), 221317592, 16078575, 993842648, ( -1), 808701977, 148875277, 326657, 643390211, ( -1), ( -1), ( -1), 543827867, 777474864, 207405120, 515055311, ( -1), 228013084, 633986747, 282622602, 67810741, ( -1), 952077, 184923184, 250938334, 444213156, 688409788, 807924441, 349681863, ( -1), 581241773, 928211596, ( -1), 886904337, 812717829, ( -1), ( -1), 603070076, ( -1), ( -1), 472132957, 189209945, 528148485, ( -1), 165746460, ( -1), 887975466, 737494011, 290046804, 164716619, ( -1), 933649204, ( -1), ( -1), 663043919, 59399737, ( -1), 240458995, 139513566, ( -1), 936074405, 695155277, 361787331, 811828949, 223231839, 171994213, ( -1), ( -1), 900611454, ( -1), ( -1), 800022714, 854791320, 342441618, 159181266, 491482518, 516145767, 992986992, ( -1), 397627036, 49419744, 629829856, ( -1), ( -1), 833381184, 239252600, ( -1), 205211117, 4187026, ( -1), 405194603, 660360010, 616798561, 785518176, ( -1), ( -1), 683899330, 695774307, 887049448, ( -1), 757732902, ( -1), ( -1), 864160338, 406927114, ( -1), 925770635, 812666118, 627609269, 570918554, 833915996, ( -1), 25857012, 108717736, ( -1), 488936778, ( -1), ( -1), ( -1), ( -1), 843158996, 884781139, ( -1), 2126385, 694911238, ( -1), 724526062, 493257821, 85680189, 694105068, 429097192, 474091234, 789262833, 509048501, 962462399, 320585590, 247186390, 403639796, ( -1), 959615566, 152047778, ( -1), 85202737, 933725806, ( -1), 291708551, 622839052, ( -1), ( -1), 150237454, 366923178, 787095379, 381205473, 396226651, 710580831, 644552428, 456875607, 692505061, 881740351, 338112705, ( -1), 481455285, 798973996, 232464926, 922090077, ( -1), 804736676, ( -1), ( -1), ( -1), 71236876, 473212833, 256626951, 198512508, ( -1), 742811196, 490584974, ( -1), 949385492, 926590142, ( -1), 430917745, 901868633, 345074538, 240529133, 799706089, ( -1), 421189507, ( -1), ( -1), ( -1), 248555006, 667873733, 954671738, 717135373, 369213522, ( -1), 70594117, 148823273, 173429190, ( -1), 868019975, ( -1), ( -1), 735179598, ( -1), 641861803, 607931908, 816835475, ( -1), ( -1), 483519397, 569402574, 600867481, 689695769, ( -1), 258014736, 981411589, ( -1), 158363185, 627411925, ( -1), 889383243, 504375297, 231780500, 981137713, ( -1), ( -1), 437105670, 259408011, ( -1), ( -1), 294435070, ( -1), 684765850, ( -1), 951083371, 352980652, ( -1), 996650818, ( -1), 934147162, 608618579, 417087321, 384196258, 495418749, ( -1), 558975219, 395423088, 223833331, 258196334, ( -1), ( -1), ( -1), 646364326, ( -1), ( -1), 9106970, 109066743, ( -1), 910343421, 186776325, ( -1), 666486278, ( -1), 188758479, ( -1), 255199142, 835009114, ( -1), ( -1), 561106805, ( -1), ( -1), 376001158, 754187488, 769078046, 81422705, ( -1), 802507218, 832144067, 639160395, ( -1), 739496652, 155435183, 415254447, 349665429, 169812620, 183932143, 747663960, ( -1), ( -1), 849882731, ( -1), ( -1), 899587472, ( -1), 746652171, 709028416, ( -1), ( -1), ( -1), 415671930, 131572505, ( -1), ( -1), ( -1), 751114181, 790040295, 316899141, ( -1), ( -1), 61263493, 447557792, 598216660, 304105166, 548877171, 475473559, ( -1), 995592124, 160941613, 593215925, 518792134, ( -1), ( -1), 403323895, ( -1), ( -1), 903778045, 322486543, 424615875, ( -1), 409303311, 19558966, 208492500, 65989585, 867080456, 136851818, ( -1), 37624547, 489156133, ( -1), 823245361, ( -1), 98264854, 91764833, ( -1), 259747470, 341263201, 472871139, 18081638, ( -1), ( -1), ( -1), ( -1), ( -1), 286853048, 619058840, ( -1), ( -1), 340075258, ( -1), 931743007, 410016932, 377353722, 303120236, 665022390, 120483444, 784437569, 684249397, ( -1), 766729654, ( -1), ( -1), 202813892, 322592330, 148867074, 953378091, ( -1), 511359856, ( -1), 504894540, 355109470, 347864550, ( -1), 147821212, 443025893, ( -1), ( -1), 73298154, 27586131, 607780262, ( -1), 132132551, 264699184, 95421036, ( -1), 653139326, 631733878, 419159921, 763761082, 875468816, ( -1), ( -1), 554809464, 557206777, 938656641, 809384321, 261228040, 991504544, 458804668, 896966372, 487892888, 16825594, 225431019, 334064669, ( -1), 290043681, 13705467, ( -1), ( -1), 636624355, ( -1), 369599817, 570598199, 989858969, ( -1), 594047611, 335919651, 961304159, 912507700, 360004504, 925737991, 682963129, ( -1), 145382787, ( -1), 616688873, 9807684, 8064071, ( -1), 807368697, ( -1), 61432691, 579221010, ( -1), 925549333, 821556444, 488042592, 253871157, ( -1), 367647420, 807845679, 22467628, 284027966, 451830789, ( -1), 671145043, ( -1), 354359025, ( -1), ( -1), 141290875, 991965908, ( -1), 692922781, 167305934, ( -1), 837202481, 248380087, ( -1), 870439646, 725513876, 197373741, 447933547, 663356746, 76000086, 557401291, ( -1), ( -1), 991867386, 617824175, 325559553, 680181804, 815570704, 29740866, 112182888, 411313276, 582645384, ( -1), 421384020, 414633715, 292207252, 41984795, 817723323, 5531169, 179668904, 594074960, 449135157, 139274757, ( -1), 905374830, 839176646, 361002458, 79207319, 224469251, 414125574, 994509704, 549265564, ( -1), 465019525, 292507697, 106264146, ( -1), 913132965, 751645610, 66302454, 220958199, 484352916, 118596459, 966825262, ( -1), 188087773, ( -1), 121308247, ( -1), 633228539, ( -1), 821586071, 389069950, 600480152, 535724036, 930050383, 372969593, 980568735, 450962708, ( -1), 572980455, 964181534, 345390814, ( -1), 790475799, 682825232, 751985931, 823105014, 154777961, 833622360, ( -1), 961400918, ( -1), ( -1), 670648353, ( -1), ( -1), ( -1), 141313470, 859404966, ( -1), ( -1), 688604774, 613400239, 44919210, 866479490, ( -1), 217813507, ( -1), 708103886, 331069977, ( -1), 796549727, ( -1), ( -1), ( -1), 291949853, ( -1), 943760321, 165814559, 470217420, 361204425, 391068526, 163985298, 416467465, 709099783, 437791303, 463718387, 802266904, 790540376, ( -1), 195241141, ( -1), ( -1), 336312966, 875391726, 469084466, ( -1), 369076299, 591709511, 799530620, 798880020, 559316147, 139144346, ( -1), 420427492, 237620703, ( -1), ( -1), 47224103, 804897519, ( -1), 887784436, 55621098, 53047130, 645498420, 164640154, 438938749, 447753021, ( -1), ( -1), 872599906, 303591799, 66699179, ( -1), 604425967, 97787462, 998667279, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 628335567, ( -1), 902279616, 141667781, 367488530, 110452010, 970746843, 857037773, 349961299, 761585916, ( -1), ( -1), 917205181, 684673976, 462645030, 494268313, ( -1), 135976411, 789648114, 189563896, 19846440, 76413936, 97115922, 998113592, ( -1), 377590338, 331650596, ( -1), 192506582, 88614088, 326471936, 90868179, 21349605, ( -1), 990123807, 882182343, 972602572, 19703439, 546204579, ( -1), 516053945, 294645851, ( -1), 12792555, ( -1), 55741576, ( -1), 320853427, ( -1), ( -1), ( -1), ( -1), ( -1), 948711924, 338286025, 736840498, 947069692, 636713988, 360756026, 511156145, 693130429, 474044456, ( -1), 949119515, ( -1), 515025524, 223928991, 838473781, ( -1), 794973830, ( -1), ( -1), 393454669, ( -1), 382255908, 42272746, 469552089, ( -1), 497537747, 2341498, 886595751, ( -1), 351037461, ( -1), 187756535, ( -1), 38916260, 884368136, 986970875, 475725034, 159612344, 470614310, 937978398, 399576032, 831251003, 386948730, 924485209, 636576602, ( -1), 989908920, ( -1), ( -1), 830605924, ( -1), 369765686, 387778189, ( -1), 644033926, 708598866, 648280860, 555258950, 697563171, 80459348, 819974252, 464573719, ( -1), ( -1), ( -1), 372192461, ( -1), 457169953, 406216633, 659333113, 226703315, 824008764, 803403481, 214412320, 594937777, ( -1), 262753308, 319007353, 792571444, 894995938, 832429094, ( -1), ( -1), 79658269, ( -1), 621361136, ( -1), 117126671, 174994052, 763372496, 36032872, 99049950, ( -1), 495423358, 140731721, ( -1), ( -1), ( -1), 156696444, 103709025, 859798770, 103269402, 638077199, 852441827, 897121964, 205376087, ( -1), ( -1), 800733003, ( -1), 268893542, 32598615, 135473689, 12362964, 139754259, ( -1), 302698713, ( -1), ( -1), ( -1), 241962922, 426660807, 452515288, 206659719, 635264623, ( -1), 285617443, 216062556, 91526770, 798388335, ( -1), 837679909, 379584761, 262988219, 378761708, 784321742, 336856638, ( -1), 540685284, ( -1), ( -1), 69558122, 486039587, 883621401, 218394247, ( -1), 561362782, 80179567, 586458227, 381841732, 657088028, 6423534, 526072618, 32469303, 774865889, 87336508, 491477153, ( -1), 131573253, 213092464, 772837401, ( -1), 990566764, ( -1), ( -1), 249861301, 175649919, 327125526, 844083659, 819215874, 505364186, ( -1), ( -1), 467228551, 573581757, ( -1), ( -1), 351293652, ( -1), ( -1), ( -1), ( -1), ( -1), 513470813, 473296497, 347115715, 192792944, 426561345, 517855240, ( -1), ( -1), 866008387, 254268852, 295046033, 630460788, 561111836, 69481572, ( -1), ( -1), ( -1), 262708540, ( -1), ( -1), 38828826, ( -1), 407807126, 378111055, ( -1), 444609557, 562580135, 601888574, 4831043, 100625867, ( -1), 536302482, ( -1), 506315610, 668067667, 102570530, 513721461, ( -1), 509240022, 234476483, ( -1), ( -1), ( -1), ( -1), ( -1), 469676107, 757088693, ( -1), 570751644, 384872029, 130618437, ( -1), 15023616, 251596077, 263241686, 121499168, 112445568, 697807826, 147794823, ( -1), 193039379, 463534124, ( -1), 831004563, 637839496, 238044292, 266943783, 574178048, 978692135, ( -1), 825257520, 245835626, ( -1), 276475446, 874262894, 65413779, 788559836, 188662719, 444272243, ( -1), 667172687, 649623527, ( -1), 723934100, ( -1), ( -1), ( -1), 703724747, ( -1), 628158446, 24150870, 891695642, 640417107, 67395686, ( -1), 522567078, 57173590, 993504977, 135627639, 548502895, ( -1), 213120367, 486883230, 877076131, 484957266, ( -1), 104003459, 708809817, ( -1), ( -1), ( -1), 396318550, 137133948, ( -1), 831837724, 131826184, ( -1), ( -1), ( -1), ( -1), 823779746, ( -1), 777762452, 798563008, 393321908, 428542098, ( -1), 806886704, ( -1), ( -1), 751710873, 6237241, ( -1), 315500378, 528244300, 379404890, ( -1), 207811876, 177162601, ( -1), 848938289, 173733618, ( -1), 960028806, ( -1), 121501405, 661089843, ( -1), 15137423, 355020359, 122936259, 714821095, ( -1), 803177381, ( -1), 116793640, 592483803, 174807181, 136146195, ( -1), 790369225, 627050075, ( -1), 410470330, 292197991, ( -1), 493390848, 716496916, ( -1), ( -1), 579204571, 321992853, ( -1), 290944984, 507606826, ( -1), 500598992, 747278335, 866462635, 776720671, 495979048, 775101476, 771738100, 937719601, 260591318, 85192941, 92303639, 890026457, 395676273, 363524132, 275619679, 525558595, ( -1), 410311267, ( -1), ( -1), 795312473, 373223636, ( -1), 525988974, 448755932, 58924247, ( -1), 374882118, ( -1), 950708107, 109275424, 646594809, 457528565, ( -1), 505608155, 60089939, 884752363, 927706878, 664955166, 325121159, 951489307, 594646771, 64239464, 105720652, 287919364, 822794781, 79190855, 521608783, 555031858, 361263058, 157973883, 101904304, 87018019, 399307089, 305154065, 772945363, 790085925, 242686461, 6744853, 980614162, 964377039, 709732741, 613185034, 543065063, 433490786, ( -1), ( -1), 767466168, 974900693, ( -1), 573230257, 742182960, ( -1), ( -1), 922932637, ( -1), ( -1), 886283103, 28412821, ( -1), 836608093, 474788888, 451938910, 406518370, ( -1), 524857612, 877684101, 585406606, ( -1), 273187010, 110819057, 938524359, ( -1), 50161932, 878831461, 265220240, 68554974, ( -1), 597197877, 306253115, 597811987, 726870995, 297029456, 619798497, 973312711, 525283183, 204326098, 625594796, 546291701, ( -1), 227813259, 247854962, 452856786, 999332124, 349691324, 265104251, 372802587, 46698479, 146822807, ( -1), ( -1), 966902100, 462301679, 855057294, ( -1), 621225232, 868106864, 82549572, ( -1), 434130460, ( -1), ( -1), 226332560, 71535577, 239521009, ( -1), 124629002, ( -1), ( -1), 353525240, 9566298, ( -1), ( -1), ( -1), ( -1), 917130960, 19571905, 995565697, 790436175, ( -1), 105203837, ( -1), 874107681, 473703522, ( -1), 669362147, 216116622, ( -1), 567409732, 837099516, 935279404, 446410209, 67872687, 258489045, 526859917, 574929785, 998860974, 694572093, 687460659, 353841860, ( -1), 818633241, ( -1), 931848494, 349442174, 175347394, 358503885, 801527063, ( -1), ( -1), ( -1), 333435334, 210182519, 695270738, ( -1), ( -1), ( -1), 239692547, ( -1), 234224323, 251057497, 516976318, 876333937, 74721315, 421276486, ( -1), ( -1), 514832715, 789454005, 153849960, 49183277, 521343073, 641020603, ( -1), ( -1), 440903613, ( -1), 137403849, 345676765, 467557822, ( -1), 218677661, 785840857, ( -1), 285614316, 427502299, 252228622, 848206683, 624797228, ( -1), 312355590, 710133991, 81814821, 860249249, 800396914, 805124494, 488334762, 234865874, 971248441, 56711163, 75526194, ( -1), ( -1), 272209081, ( -1), ( -1), 471698807, 324809687, ( -1), ( -1), 289875799, 284115143, 33752145, 332216579, 479999634, ( -1), 656412492, 270330427, 302529633, 272327888, 108539033, ( -1), ( -1), 527328657, 128814045, ( -1), 625002949, ( -1), 35790111, ( -1), ( -1), 172141790, 89750103, ( -1), ( -1), 830651336, 895751546, ( -1), 115028036, 921921968, 955224725, 264317742, ( -1), 98870428, 926484611, 509242781, ( -1), 258907386, ( -1), ( -1), 732893303, 600202946, ( -1), 459607234, 877495947, ( -1), 818391357, 638711763, 219094206, ( -1), ( -1), ( -1), 937236407, 450570736, ( -1), 879876423, 404734150, 309614748, 75410075, ( -1), ( -1), 671567810, 314622170, 742751789, 533679501, ( -1), 917338579, ( -1), ( -1), ( -1), 416614560, ( -1), 696058701, ( -1), 504304061, 286275181, 470047220, ( -1), 86980659, 612396924, 377866714, 213266599, 468362888, ( -1), 128345446, 570170689, ( -1), 555679301, 878028205, 65589008, 497806151, ( -1), ( -1), 253121626, ( -1), 157126390, ( -1), 942639036, ( -1), 339762637, 120853509, 556045823, ( -1), 29987862, 278132765, ( -1), 819824925, ( -1), 177176645, 466046575, 405222369, ( -1), 579946378, 577781209, ( -1), 847199861, 954883715, 517322274, 230688553, 983525888, 485497208, 782378549, 369781487, ( -1), 674171627, 327955858, 858348957, 742112446, ( -1), 742342407, 217974125, ( -1), ( -1), ( -1), 231670403, ( -1), 658631655, 516415741, 21889537, ( -1), ( -1), ( -1), 349142358, 867684429, 459854558, ( -1), 407637437, ( -1), 75294281, ( -1), 782701303, ( -1), 619804870, 896139933, 637967535, ( -1), 297766601, ( -1), 853051883, 800490247, 403006976, 934508304, 64794480, 513394812, 476851637, 275829663, 59247094, 78578390, 350092107, 592852602, 336307722, 752580171, 629991770, 813320918, ( -1), 682959557, 919624222, 349875030, 777451774, 78238727, 729662614, ( -1), 357256005, 192184796, ( -1), 493559606, ( -1), 101860493, 905021986, 664802791, 897560289, 211424910, 840637515, ( -1), 274597896, 353010968, 104860151, 913348999, 24843582, ( -1), ( -1), ( -1), 79045984, ( -1), 156139746, ( -1), 753250947, 504889174, 947077051, ( -1), ( -1), 89716611, 814951938, ( -1), 346105405, 4618988, 123625495, 98514471, ( -1), 101093408, 17641280, ( -1), ( -1), 92697285, 708269637, ( -1), ( -1), 23228164, 87605668, 130169242, 159336163, ( -1), 714267825, 63936948, 785438509, ( -1), ( -1), ( -1), ( -1), ( -1), 587186792, 644608338, ( -1), ( -1), ( -1), ( -1), 911265375, 32639438, ( -1), 882916696, 342568925, ( -1), 417783522, 482990570, ( -1), ( -1), 206760093, ( -1), ( -1), ( -1), 174139755, 161011945, 617781564, 565470576, 461101393, 864527968, ( -1), ( -1), 730518031, ( -1), 355645722, 458651971, 600782900, 102434762, 104107197, ( -1), 907873019, 69690658, 42834592, 238582348, 69091068, 126066389, ( -1), ( -1), 663313028, 757167951, 533660819, ( -1), ( -1), ( -1), 542630660, 29144602, 992215405, 145784124, 627856692, 89791439, ( -1), 544219990, ( -1), 69261852, 99200496, ( -1), ( -1), 697303308, 559726579, 242886279, ( -1), 143607521, ( -1), ( -1), 339407911, 592150602, ( -1), 135271238, 155897287, ( -1), 549364109, 433316628, 268669683, 321830849, ( -1), 48983211, 289957670, ( -1), 314754608, ( -1), ( -1), ( -1), 746704023, ( -1), 158641576, 688668481, 197386424, 636155529, ( -1), 427816042, 554025466, 281596146, ( -1), 95083706, ( -1), 97909534, ( -1), 577359863, 640949662, 451421478, 889736772, 597052800, ( -1), ( -1), 949311600, 120769797, 302594191, 726206038, 784282266, 441810390, 238937536, 574199561, 354289845, 568339306, 934506289, 329045898, 977898838, ( -1), 72553547, 971500703, ( -1), ( -1), ( -1), 216008188, 183753418, 33663666, ( -1), 662362988, ( -1), 446004805, 944321757, 57211784, ( -1), ( -1), ( -1), ( -1), ( -1), 975378476, 419244426, ( -1), ( -1), 57905965, 525586511, ( -1), 329183811, 881510648, 831447144, 300931921, 501081312, ( -1), 48629112, ( -1), 173446371, 573122787, 972910478, 977148836, 2167790, ( -1), 822261621, 460376111, 464824037, 329299246, 770457341, ( -1), 30055446, ( -1), ( -1), 320241957, 397806896, 687974422, 8188845, 818548258, ( -1), ( -1), ( -1), ( -1), ( -1), 131506728, 769741303, ( -1), 689947622, 950185741, 775810386, ( -1), 652774141, 263178338, 749990332, 370068707, 678390427, 64072412, 944132824, 963358178, ( -1), 704631470, 661167500, 282739511, ( -1), 752731160, ( -1), 623461108, 717961208, 313995426, 744289916, ( -1), 615723659, 315825076, 266258254, 910763277, 563385605, ( -1), ( -1), ( -1), 347596458, 890276125, 157520938, 113112862, 261703032, 352803408, ( -1), 224054344, 985598794, 494054411, 533112595, 508094220, ( -1), 886446239, ( -1), 504877574, ( -1), ( -1), 392636696, 583897719, ( -1), 674831362, ( -1), 221094348, ( -1), 210605891, 491635912, 599589957, ( -1), 417204109, 903296830, 463787933, 893793320, ( -1), 262437371, 743721750, ( -1), 484272890, 158633531, 158894167, 144601920, ( -1), 927531349, ( -1), 655077447, 637078417, 825245925, ( -1), 645472605, ( -1), 803138411, 216744269, 679337961, ( -1), 547877119, 909555209, ( -1), 117518986, 611421255, 504838451, ( -1), 737421866, 387349099, 443185608, 788417631, 497432182, 164912801, 576108296, 113049323, 484256724, 40815986, 655280190, ( -1), 46707979, ( -1), 617336388, 745279434, ( -1), 617093202, 452222917, 786850124, 915110691, ( -1), ( -1), 412625268, 303091955, 259018490, 395915530, 222602968, ( -1), 331857623, ( -1), ( -1), 235206714, 206242230, 191793853, 476022117, 484099157, 960318918, 199732223, 196787330, 974151806, 877538376, 172310012, 460427740, 489497314, 106376473, 483265375, 279063441, ( -1), 788917382, 967898854, 26789234, ( -1), 445051277, 101918962, 554625204, ( -1), ( -1), 313793304, ( -1), 965868375, 258728224, 386584831, 998860585, 118819429, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 485688251, 256773796, 822397221, 414078606, 232255047, ( -1), ( -1), ( -1), 168203905, 384838194, 454759984, 592348054, 450666494, ( -1), 365686979, ( -1), ( -1), 888365259, ( -1), 374091015, 960207935, 509331915, 284635610, 814732688, ( -1), 353297617, 347947149, 693142212, 649547605, 473509073, 459391185, 438929094, 141283955, 860540820, ( -1), 823265165, 523677162, ( -1), ( -1), ( -1), 813810577, ( -1), ( -1), 903479855, 290562099, 804709404, ( -1), 311308963, 215492011, 858941107, 345712809, 63286461, ( -1), 892987188, ( -1), ( -1), ( -1), 751579245, 94653333, 414299399, 544471816, ( -1), 34010710, ( -1), 771271158, ( -1), 28486678, 777909804, ( -1), ( -1), ( -1), 344368967, 559004585, ( -1), 810275170, 398833476, 670637095, 558717216, 397556166, 428634167, 350360984, 995482294, 103602953, ( -1), ( -1), 180037195, 571610818, 930574834, ( -1), 903730623, ( -1), 634499802, 842665875, 215491158, 840664530, ( -1), 46085732, ( -1), ( -1), 630598752, 109267915, ( -1), ( -1), 950345204, ( -1), 558363883, 536385818, 721376751, ( -1), 88474204, 967688476, 261620611, 933218135, 868769816, ( -1), 440610182, 776725569, ( -1), 621235705, 468150795, ( -1), 820197703, ( -1), 34845092, 136261507, 465434806, ( -1), 154727823, 282828965, ( -1), 460242483, ( -1), 431344468, 48110502, 943595349, 712407056, 830584608, 865152566, 519765307, 633267744, 638868604, 696448179, ( -1), 688854433, 652680847, 201633200, 616975405, 181700608, ( -1), 807614653, ( -1), 996687838, 722665740, 182438196, ( -1), ( -1), ( -1), ( -1), 359225912, ( -1), 549556741, ( -1), ( -1), ( -1), 832541499, 6861548, 286749169, 123372733, ( -1), 486356664, 192609225, 344002279, 978969682, 554109349, 257801925, ( -1), ( -1), 772497991, 92122696, ( -1), 73518257, ( -1), 860657432, ( -1), 761421487, ( -1), 324166526, ( -1), 512463826, 171453150, 331558801, 851460387, ( -1), 60882117, ( -1), 869709634, 690059972, 709419189, ( -1), 685421092, 335149363, ( -1), 75379767, 199012164, ( -1), 753540152, 884872974, 357232611, 182682966, 948808505, 207072, 696098167, 32397509, 938153551, 497483418, 703366706, ( -1), 967057564, 501669168, 670417973, 417425390, 414321657, 818881112, 21508922, 88384887, 316772393, 870970408, 118383054, 416049742, ( -1), 673530896, 650662075, 51994860, 130802772, 628436453, 350731262, 353515304, ( -1), 622703840, ( -1), 297362528, 130199210, 388395559, 665044907, 312722194, 891086845, 30167624, 826212100, 470921296, 456043629, ( -1), ( -1), 834489379, ( -1), ( -1), 650982035, ( -1), 413335979, 669225631, 185520503, 377338103, 31854263, 208796420, ( -1), 132919707, 451196513, 27763308, 163787139, 787575528, 275670940, 795394581, ( -1), 479618094, 157344000, 820228692, 344897766, 449110417, ( -1), ( -1), ( -1), 180409353, ( -1), ( -1), 961687735, 385383154, 574746959, ( -1), 941529691, 221540346, 769042391, 473077917, 238112935, 705946750, 778764001, 942141885, ( -1), 599078722, 32688508, 761500331, 807559333, 814837134, 289286047, 897873359, 1222709, ( -1), 818313037, 409591365, 269398913, 18941804, 814479641, 678762564, 749424395, 127710289, 484978011, 973005129, 720159601, 454207952, ( -1), 143831636, 334436594, 974136879, ( -1), 381345581, 518465464, ( -1), ( -1), 335098439, 469660743, 867208622, 341160018, 590998566, 280218370, ( -1), 109371074, 463423649, 776656791, 748677945, 298762914, 957005425, ( -1), 692037742, 535092296, 10336183, 518830871, ( -1), 244302795, ( -1), 540107072, 241833157, 980926672, ( -1), ( -1), ( -1), 610373821, 299783904, 652306919, ( -1), ( -1), ( -1), ( -1), 384676422, 919813738, 597546569, ( -1), 952325967, ( -1), 39729937, ( -1), ( -1), ( -1), ( -1), ( -1), 312362590, 885773382, ( -1), 232768952, ( -1), ( -1), 930237416, 246666494, 673017878, 759141909, 718112171, 739980920, 883264500, 570972330, ( -1), 16298209, 278839271, 713138766, 259411287, ( -1), 539254941, 183270265, ( -1), 435956181, ( -1), ( -1), 89081001, 252069717, 245615529, ( -1), 957353249, 277784421, 507027725, ( -1), 633503014, 339391371, ( -1), 341001080, ( -1), 322915961, 51094050, 718521776, 735317613, 428585790, ( -1), 379974687, ( -1), ( -1), ( -1), ( -1), 567480175, 350900947, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 533686359, 839963543, 212491664, 492442361, ( -1), 194464241, ( -1), 644063373, 169462495, 512132861, 358314945, ( -1), 339854779, 731619079, ( -1), ( -1), 923011658, 607663599, 393809616, 442717271, ( -1), 184738851, 345454223, ( -1), 365259526, 682003962, 658388160, 397339425, 862203450, 666122279, ( -1), 950660350, 132945601, 493554034, 574346101, 530250754, 736825967, 405813832, 167016686, ( -1), ( -1), ( -1), ( -1), 271955371, 629414081, 184372676, 379623715, 881059318, 800364541, ( -1), ( -1), ( -1), 583631943, ( -1), ( -1), ( -1), 992344076, 824702040, ( -1), 810664864, 803629409, ( -1), ( -1), 201262494, 773323977, 772466183, ( -1), 859210538, 636860436, 723487464, 566592040, 165169346, 64746434, 283731998, 819512666, ( -1), 273250777, ( -1), 363487441, 57596048, 200946771, 293983725, ( -1), 628249292, 584246899, 328929542, ( -1), 582714756, ( -1), 274933376, 633348746, 991328528, 869621499, 756715391, 184808725, 795845845, 942132903, 930568010, 283614826, 825369502, 764011286, 932210363, 581786246, ( -1), 990807833, 402738099, ( -1), 677101320, 989994927, 776266350, 499850863, 417704640, ( -1), 521790076, 556711770, 934919828, 972450565, 104644858, 966925479, ( -1), 84607646, ( -1), ( -1), 257172935, 553379071, 696510920, ( -1), 56394926, ( -1), 577148770, ( -1), 494040929, ( -1), 730566913, 742010720, 972364571, 895924615, ( -1), 127524048, ( -1), ( -1), 810175482, 284746152, 279042004, ( -1), 371285329, 336093543, 574259092, 214116066, 887423859, 429686449, ( -1), 141476602, ( -1), 84486710, 100075212, 185607134, ( -1), 397057884, 7609718, 473656471, 768283130, 515096296, ( -1), 647321535, 608327659, 779269819, 894385897, ( -1), 219193319, ( -1), 704440110, 206402819, 863301138, 763369011, 467988683, 899316869, 388864514, 501551607, 868082767, 394653240, 254551595, 165344232, 425410695, 405538281, ( -1), 832853730, 820294298, 949749175, 987655842, 667015776, 610084472, ( -1), ( -1), 742550131, 16474658, 484063552, 709592119, ( -1), 22424062, 840691305, ( -1), 411927496, 224623696, 514142449, ( -1), 357523592, ( -1), 972174406, ( -1), ( -1), 591267809, ( -1), ( -1), 811922742, 412586701, ( -1), ( -1), 41099668, ( -1), 365068114, 481344512, ( -1), 557527296, 142089822, ( -1), 191229654, 345532180, ( -1), 246215506, ( -1), 567107893, 382861185, 915705951, ( -1), ( -1), 80716747, ( -1), 638216364, ( -1), 339787682, 235554860, 226383964, ( -1), 868400582, 39833207, ( -1), ( -1), 551001811, 67287285, 641777318, ( -1), ( -1), 108544027, ( -1), 365808517, 334323991, ( -1), 80216335, 213965604, 344507250, 481341279, ( -1), 160370765, 109006662, 170015624, ( -1), 978758660, 69485662, 192859188, 22694362, 648502378, 728754870, 752964345, 715091603, 490994911, ( -1), 591258887, 571079873, 713149074, ( -1), 166691972, ( -1), 315581283, ( -1), 978213058, 399319520, 384319621, 123871937, 77875628, ( -1), 590746471, 669211061, 280822703, 97592661, ( -1), 636200268, 577097283, 586988018, ( -1), 513077971, 9819046, ( -1), ( -1), 490388014, ( -1), ( -1), ( -1), 434321418, 778098621, 914117272, 894550246, 395291644, 339696859, 250323266, 542158055, ( -1), 345056975, ( -1), 981741771, 516906080, ( -1), 49033031, 665031634, 399274050, 669727469, 223899702, 577588446, ( -1), 910505087, 664498568, 846866041, 295752980, 768477087, ( -1), ( -1), ( -1), 293386536, 311826890, 212525405, ( -1), 162620179, 69425846, ( -1), 199737973, 800010275, 463739495, 360353117, 453940421, 453003665, ( -1), 937975957, ( -1), 838323432, 604962138, ( -1), 408832576, ( -1), ( -1), 447436733, ( -1), ( -1), ( -1), ( -1), 537769029, ( -1), 899038782, 393649050, 803076932, 673885712, 1107295, 675558677, ( -1), 115652054, 129982757, 238187335, 280994137, 652138446, 494141075, 576207713, 830583616, ( -1), ( -1), 653314321, 378876777, 918732556, 893364124, 783575681, 73313195, ( -1), 990287487, 999239636, 178506142, ( -1), 911588218, 146308706, 501166287, ( -1), 228426755, 610104434, 739620438, 896602170, ( -1), 382941320, 468073438, ( -1), 1134789, ( -1), 711306295, 391918645, ( -1), 707598714, 791392632, 842808243, 494570189, 613544526, ( -1), 589529737, 564633016, ( -1), 844273125, 791268450, ( -1), 183239626, 380697440, 844485791, 995924441, 866374840, ( -1), 326795349, 564086019, ( -1), ( -1), 68433461, 837348576, 241204420, ( -1), 949295493, 816930469, 765319134, 141887901, 280767168, ( -1), 594887921, 222769621, ( -1), ( -1), 594754018, 480975572, 426009786, ( -1), 770494027, ( -1), ( -1), 346404686, ( -1), 260387307, 481274466, 730663471, 112768346, 111006844, 288059446, 85521811, 985971723, 314871075, ( -1), 818527160, 499612077, 725614368, ( -1), ( -1), 128860380, 791461372, ( -1), 856934875, ( -1), ( -1), 577543123, 939074195, 652840, 233769277, 157338998, 891130369, 830816090, ( -1), 242171030, 211243795, 401719280, 278969745, 457019107, 355241050, ( -1), 722919961, 575084278, ( -1), 58066803, 902575995, ( -1), 828495271, 39016063, 580036889, ( -1), ( -1), 512161194, ( -1), 200924170, 720618803, 434001501, 173603189, 309705387, 510376367, 434607502, 832631676, 611926915, 697250232, ( -1), 746888166, ( -1), 163492871, 678016903, 399991325, 729007907, ( -1), 443214596, ( -1), 870180076, ( -1), ( -1), 505239703, 760615006, ( -1), 554997336, 15745646, 745910413, 302685647, 130961151, 33939039, 419313226, 47402814, 342181171, 570717118, 246309890, 347398750, 650681044, ( -1), 12555092, ( -1), 60521400, ( -1), 599306450, ( -1), 196814132, 523807587, ( -1), ( -1), 721899019, 244236189, 266234319, ( -1), ( -1), ( -1), 871168342, ( -1), 309577858, 653492588, 705807177, ( -1), 584795197, 13008887, ( -1), 179688240, ( -1), 615419434, 639088224, 507819014, 194492768, 417477966, 598428099, ( -1), 274855297, 746534429, ( -1), 24048758, 739198820, 250302247, 998054110, 127529030, 435753899, 123797118, 140107154, ( -1), 870211923, 551546835, 746215219, 310454227, 114036313, 89085348, 904978719, 600291937, 320460772, 292157239, 682363713, 265398667, 569267423, ( -1), 93778937, 509100368, 478256978, ( -1), 495561088, 116351785, 245704042, 546918255, 878805119, 791309303, ( -1), 389758390, 455830834, 701145650, 75116847, ( -1), 182496894, ( -1), ( -1), ( -1), ( -1), 692876108, 958498202, 520319452, 290513644, ( -1), 650211717, ( -1), 184174330, 857626175, ( -1), 135601852, 444425177, 341177332, 254658517, 460559203, ( -1), ( -1), 84220117, 133209434, 68919397, 851564496, ( -1), 285360450, ( -1), ( -1), 764937962, 309200630, ( -1), ( -1), 48513861, ( -1), ( -1), 578592716, 510724548, 47380801, ( -1), ( -1), 444926312, ( -1), 26670280, ( -1), 524646991, ( -1), 365897850, 960479390, 11256198, 717423070, ( -1), ( -1), 241573744, ( -1), 353058960, 252815645, 24759043, 346974502, 724262761, ( -1), 654305787, 439273694, 416261330, 58503446, 972527325, 21677896, 922242374, ( -1), ( -1), ( -1), 61932833, ( -1), ( -1), ( -1), ( -1), ( -1), 542720328, ( -1), 104104006, 264408649, ( -1), 275726311, 358003693, ( -1), 13081565, 712746366, 531606496, 29876501, 23390269, 800191819, 832951898, 917350726, 788792430, 573303980, ( -1), 248764539, 409697101, ( -1), ( -1), ( -1), 687695455, 435585249, 839890806, ( -1), 450779816, 157808807, ( -1), 250291593, 49384343, ( -1), 377896587, 344097418, 850634340, 467385919, 874273098, ( -1), 241941476, ( -1), 868183578, 769872777, 144854359, 580252312, 357468723, 357059173, 29371914, 121035275, 502276419, 656203611, ( -1), 425022803, 767766662, 732821607, 739583396, ( -1), ( -1), ( -1), 230466153, 922748381, ( -1), 204907118, 66574781, 46953102, ( -1), ( -1), 203227300, 236840050, 194852193, 160171298, 440764198, ( -1), ( -1), 293406608, ( -1), 425759062, ( -1), 767485839, ( -1), ( -1), ( -1), 721503441, ( -1), 286537133, 610576117, ( -1), 922555084, 97926964, 638377369, ( -1), 91925541, 345880804, 912518885, 72743549, 454137202, 883273294, 706655715, 509400866, 927512639, 97849084, 692898095, 357749622, 294247967, 892967023, 639070103, 602190868, 205018620, ( -1), 708817994, 893644561, ( -1), 713967071, 290190815, 327470266, 915443803, 729400710, ( -1), 847014550, ( -1), 44082838, 335384005, ( -1), ( -1), 10810132, 717164490, ( -1), 445370273, ( -1), 57139305, 821730571, 90092979, 858691756, 728174781, 642579839, 265744266, ( -1), 542155777, 504519017, 105062881, 805746707, 165731560, ( -1), 390520871, ( -1), ( -1), 166253294, ( -1), ( -1), ( -1), 302810211, 805164976, 790132390, ( -1), 410912751, 48928123, ( -1), ( -1), 649703251, 732221722, 843214709, 991631481, ( -1), ( -1), 150111659, 233117988, ( -1), ( -1), ( -1), 140696544, 827003332, 676156625, ( -1), ( -1), 39019405, 83628425, 744623367, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 892461524, ( -1), 156777521, 860209252, ( -1), 968066085, ( -1), 344645273, ( -1), 943093318, ( -1), ( -1), ( -1), 755610361, 281821061, 105066855, 894283713, ( -1), ( -1), ( -1), 867911454, 511096698, 279844232, 976993910, 370302068, 692016228, 794097707, 380072642, 14332477, ( -1), 157738418, 543805568, ( -1), 320319145, 9225327, 30781570, ( -1), 626499496, 886989757, 761216662, ( -1), 199178949, 318902662, 375396951, ( -1), 700125065, 439408401, ( -1), 253970539, ( -1), 298913935, 639833307, ( -1), 533917553, 135515423, 840714632, 532177715, ( -1), 643284663, 409662083, 974180014, 23272226, ( -1), 564816798, 552662103, 79151651, 522362680, 638874339, ( -1), ( -1), 438815988, 815320069, 353326669, ( -1), ( -1), 148952027, 536963207, 684266009, 86102148, 442435965, 569920465, ( -1), 63959685, 531164726, 593270546, 438331590, 179455951, ( -1), 738445397, ( -1), 375501860, ( -1), 551815928, 265956025, ( -1), ( -1), 861979555, ( -1), 56393290, 641734190, 462917711, ( -1), 480348069, 366857961, ( -1), 494822680, 960026850, 575130163, 67277214, 113950044, 397553612, 295030982, ( -1), 863379271, ( -1), ( -1), ( -1), ( -1), 178399584, 227007381, 222593911, 18190489, 407943838, 606388873, 514318373, 988524677, 839159530, 156142777, ( -1), ( -1), 581345460, 677063933, ( -1), 456173527, ( -1), 48588043, 942810669, 297312725, ( -1), ( -1), ( -1), 335010837, 836932189, 743631533, 901418325, ( -1), 614641164, 232133166, 905789029, ( -1), 339481972, 785894727, 223537231, ( -1), 839017907, ( -1), 139971510, ( -1), ( -1), 144966661, 698832204, ( -1), 488733247, 596850371, 146332446, ( -1), 916296383, 564182875, 407870218, ( -1), 338482117, ( -1), 438244225, 440331901, ( -1), 530696316, 201369657, 898557879, ( -1), 126470807, ( -1), 294209735, ( -1), ( -1), 520909469, 137061663, 860278138, 646953847, 141411701, 653383407, ( -1), ( -1), 796179105, ( -1), 496905478, ( -1), 22942778, ( -1), 268574319, ( -1), 781246797, ( -1), ( -1), 570222968, ( -1), 92702038, 921349586, 641758813, ( -1), 943785284, 136311487, 798237742, ( -1), 70759536, 441672531, 317839652, ( -1), 210489040, ( -1), ( -1), 818281648, 654852708, 806651355, 870434675, 987908901, 723925012, ( -1), 31456313, 985774993, ( -1), ( -1), 210778427, 269307878, 981485579, 500922177, 328245937, 429716451, 665879373, 166451898, 512324110, ( -1), 390241775, ( -1), 892868726, 204830932, 191251378, 269896936, ( -1), 259444203, 25691165, ( -1), 362766323, 532905105, 41846607, 398567042, 815607011, 444141478, 746840627, 522883026, 585892461, 517603340, 851410952, ( -1), 717576646, 90250178, 318506066, ( -1), 22590044, 220247388, ( -1), ( -1), 411912821, 802356400, ( -1), 539817085, 243831684, 803194011, 136150871, 547471678, 762379374, 94416849, 322688759, 204767019, 170778657, ( -1), 964701056, 273640725, 812762206, ( -1), ( -1), 465234654, 489425012, ( -1), 897942428, 402505336, 216758508, 644528393, 629276750, 747972161, ( -1), ( -1), 827818708, 882446199, 946858194, 604431258, ( -1), 661289522, 864299064, 541195495, 24249853, 422219908, 787434924, ( -1), 689950351, ( -1), ( -1), ( -1), ( -1), 814501560, 671649113, ( -1), 239683811, 774076462, 504824620, 655705365, 940005386, ( -1), ( -1), 310360814, 852926410, 376162653, 921248307, 210606250, 46274864, 471195278, 966842231, 146515863, 136102955, 17704034, 466686231, 125303227, ( -1), ( -1), 495698081, 355120216, ( -1), 345200545, 634664277, 266625075, 930055069, 468081093, ( -1), 733259023, 552681039, 661876920, ( -1), ( -1), 411291866, ( -1), ( -1), 589253462, 771195017, 362346816, 224348454, ( -1), 303695535, 899707475, ( -1), 684887113, ( -1), 24307289, 493335723, 127227943, 628300971, ( -1), ( -1), 133717091, 217554746, ( -1), 462903955, ( -1), ( -1), ( -1), ( -1), 97853560, 98476157, 666625241, ( -1), 270301783, 807761535, 212647072, 518505536, 217988115, ( -1), 465693047, 974318355, ( -1), 968236242, 500295907, ( -1), 846763447, ( -1), 409364378, 529647949, ( -1), ( -1), 109759123, ( -1), ( -1), ( -1), 860135706, 583679763, 775005488, 913413538, 644666500, 102963890, ( -1), 439845621, ( -1), ( -1), 418417711, 386244208, 858866470, 546231294, 813210675, 924292212, 520910056, 519103809, 856252220, ( -1), ( -1), 689618991, 199804807, 538157214, 968134311, 303367205, ( -1), 790157235, 104418292, 397379200, 676725557, ( -1), 917707560, 846324036, ( -1), ( -1), 737991679, 933795351, 443340840, ( -1), 241490389, ( -1), 88080602, 498754678, 810233136, ( -1), 733756175, ( -1), 145516017, ( -1), ( -1), 121081828, ( -1), 47764085, 401059733, 215064673, 540231543, 377154498, 833942636, ( -1), 730805118, 504905400, ( -1), 700380338, ( -1), 708723830, 263076431, 276174311, ( -1), 275190038, ( -1), 119095380, ( -1), 368602739, 309496275, 958475350, 750909181, 134234436, 793420836, ( -1), ( -1), 998957833, 163924048, 83624024, 778583428, 234048248, 485895782, 187775628, 182620627, 39235496, 522212098, 930854842, 412831826, 700853754, ( -1), ( -1), 932452097, 347189968, 22449973, 429347049, 997130260, 952208350, ( -1), 797528586, ( -1), 952224989, ( -1), 310119913, 829379742, 597474075, 659711090, ( -1), ( -1), ( -1), 725991300, 860702823, 877750765, 436805596, 83047091, 61905287, 91305871, 966247091, 879619555, 83075149, 913042872, ( -1), ( -1), ( -1), 180674362, 248454475, ( -1), 795093365, 996024251, 128796044, 127369836, 349575745, ( -1), ( -1), ( -1), ( -1), 558239944, 893703792, ( -1), 17204141, ( -1), 749325797, 34217266, 135136570, 702972559, 268615086, 835869275, 430963810, 320905668, 402183404, 802709447, 17681194, 940993545, 381075764, 250127976, 315346083, 535329740, 795233731, 401319806, 369572377, 388302679, 788159736, 120127011, ( -1), 330050187, 601657397, 403531202, 38115014, ( -1), 232372073, ( -1), ( -1), 214718797, 239859265, ( -1), 642096687, 238140869, 58161688, 251815102, 838940881, ( -1), 563840388, 735898475, 476000460, 312428869, ( -1), 294250346, 376438962, 839453407, ( -1), 137707003, 439950719, 437568398, ( -1), ( -1), ( -1), 766795057, 337872536, ( -1), 879137052, 789564880, 532266339, 816331633, 101100648, 13402628, 527975805, 37129917, 48567598, ( -1), ( -1), ( -1), 42978123, 830527669, 105187543, ( -1), 222764807, 804748261, 542615020, 456435398, ( -1), 881698834, 591879242, 862099123, ( -1), 368398626, 809485578, ( -1), 275639467, ( -1), 791839242, ( -1), 583716197, 617598005, ( -1), 469311606, ( -1), ( -1), ( -1), ( -1), 152729229, 423380682, 133131274, ( -1), ( -1), 948793203, ( -1), 100291615, 913653020, 291559372, 634429768, 129083742, 915874959, 599342789, 191172093, 265273344, ( -1), ( -1), ( -1), 7563876, ( -1), 769774093, 380989752, 433037500, 529808571, 117003757, 601255434, 989890474, ( -1), 102862541, 926692308, 81877013, 110826581, 52079325, 944020166, ( -1), 673065254, 580055475, 378701297, 301517774, 472047168, ( -1), 243086880, ( -1), 83430554, 221373215, ( -1), 784021944, 235187119, 263648831, 38497336, 134476674, ( -1), 682239720, 94386245, 671246203, 844643008, ( -1), ( -1), 362508991, 95622747, 431983738, 807306776, 422301129, 64111434, 54300081, ( -1), 468386045, 138903737, 659619589, ( -1), 186077440, 32985688, 165380300, 589809576, ( -1), 745341621, ( -1), 722904599, 300385986, 943869817, 6967700, ( -1), 621619701, 894069920, 121997953, ( -1), 633767715, 769122996, 277974605, ( -1), ( -1), 72909200, 609350046, ( -1), 99017037, 349271986, 964883029, 919545246, 279032988, 240442242, 927442130, 994339090, 674393131, 168668215, 720650995, 316442099, 933457653, ( -1), ( -1), 641750405, 89810485, 63214650, ( -1), ( -1), ( -1), 224160718, ( -1), ( -1), ( -1), ( -1), 129795455, ( -1), 902863776, 719386755, 588042621, ( -1), 58890438, 925169609, 912498124, 291746657, 161942396, 481384541, ( -1), 253623250, 990710936, 461335566, 569855667, 544017904, 774752698, 447624503, 121035394, 6545285, 823221937, 789490050, 770157587, ( -1), 989449727, ( -1), ( -1), 684035381, 806986320, ( -1), 294359602, 42941821, 993639463, 267735931, 896456034, ( -1), 141825517, ( -1), ( -1), 279201517, 812395450, 418447895, ( -1), 918252693, ( -1), 436623767, 617663955, 224873504, ( -1), ( -1), 762170781, 575088930, 944883923, ( -1), 465283860, 35313140, ( -1), 199585740, 740171495, 664660212, 2346991, 707358304, ( -1), 583613704, 205984721, 333081865, ( -1), 636697893, ( -1), ( -1), 917352943, 591025326, 599823225, 947384605, 303008104, 565370002, ( -1), 429173859, ( -1), ( -1), 793283354, 784248504, 57516718, 761749014, 452704444, 290596962, ( -1), 755929648, 879432275, 400489304, 864613770, 728791830, 905733345, ( -1), ( -1), ( -1), 572487491, 46645300, ( -1), 150692277, 809454385, 819370967, 269503513, 86658603, 976715178, 366943502, 553698745, ( -1), ( -1), 500558946, 808123033, 999388813, 57532675, ( -1), ( -1), ( -1), ( -1), 600086532, 548372146, ( -1), 58287459, 264801804, ( -1), 993531572, ( -1), 377126870, 263591993, ( -1), 330547805, 63287510, 776912550, 529536742, 143499657, 863535849, 271990193, 306188866, 139933509, 338663245, 291307164, 28307451, ( -1), 911816549, 127180186, 175394136, ( -1), 372505870, 524453067, 858500553, 931080003, ( -1), ( -1), 869006000, ( -1), ( -1), ( -1), 634826433, 662931486, ( -1), 854959187, ( -1), ( -1), 333778421, 771040531, 864846430, 202235413, 416856387, 640712061, 594723432, 789529262, 197124400, 199682085, ( -1), 449581233, 887031355, 701422419, 864305610, 210421482, 250192001, 878729907, ( -1), ( -1), 270298549, 273805590, 15574365, 982569311, 379141351, 829835655, 208574446, 374838871, 969721441, ( -1), 743742429, 668900313, 113460878, 512474815, 16146770, 98164206, 715589460, 984633130, ( -1), 34587190, 219006384, 797248640, 227171116, 887525540, ( -1), 168097893, 348605702, 406172595, ( -1), ( -1), 711804312, 634872862, ( -1), 405648557, 437341500, 372656387, 590035409, ( -1), 203348766, ( -1), ( -1), ( -1), ( -1), 327998196, 823013350, 958652773, ( -1), 21272428, 743590130, ( -1), ( -1), ( -1), 422153725, 272041872, ( -1), 458134971, 551746254, 434208363, 844761978, ( -1), 484966986, 458265649, ( -1), 706174362, 243797713, 284908180, ( -1), ( -1), 340377344, ( -1), ( -1), 263316420, 161663263, 691253264, 46212457, 525963173, ( -1), 893572331, 176240374, 981746433, 400493633, ( -1), 168480044, ( -1), 369240218, 523254410, 679306188, 146229757, 670698197, ( -1), 347796367, 141436515, ( -1), ( -1), ( -1), 665146398, 532710276, 809998173, ( -1), ( -1), 864844074, 835381874, 812699980, ( -1), 605040232, 751525514, 640501990, 898215545, 504377039, 677978767, 841718582, 670976630, 786098558, 535169171, ( -1), 381007467, 449981906, 315254244, 450285833, 572788864, ( -1), 885991734, ( -1), 648627981, ( -1), 356499555, 822326509, 50504728, 375498006, 481781317, 206251439, 2718668, 477217825, 467747427, 665713404, ( -1), ( -1), 280327143, ( -1), 770418826, 457310777, 219752128, ( -1), 89889240, ( -1), ( -1), ( -1), ( -1), ( -1), 311492034, 692771017, ( -1), 885949449, 229606652, 991114504, 890410599, 487564298, ( -1), 61524110, ( -1), ( -1), ( -1), 415719372, 647318359, 803097762, ( -1), ( -1), 580559593, 428553328, 157757878, ( -1), ( -1), ( -1), 280003078, 965142890, ( -1), ( -1), ( -1), 736066825, 749769737, 168013473, ( -1), 455479399, ( -1), 756493201, 101004767, ( -1), 587320145, ( -1), 827482485, 612556178, 181446557, ( -1), ( -1), 225456961, 581044892, ( -1), 216813226, 180701489, 75821982, 852825142, 958322249, ( -1), ( -1), 242912847, 156956796, 367636340, ( -1), 223056786, 627996124, 304018157, 289565848, 875426085, 220033039, ( -1), ( -1), ( -1), 497938170, ( -1), ( -1), 49112762, 257373407, 931965683, 312235099, 252724395, 322563330, 498488151, ( -1), 135912755, 474603372, 965655520, 584617078, 347920465, 966442314, 942832143, ( -1), 803345072, ( -1), ( -1), 473505115, 215086547, 779414740, ( -1), 798391412, ( -1), 391265471, 661982287, 174452406, 98431156, 33157409, ( -1), 427180299, ( -1), ( -1), 937457402, ( -1), 279227521, 199174308, 36532797, ( -1), 531881951, 884565920, 771619637, ( -1), ( -1), ( -1), ( -1), 991554101, ( -1), 198868542, 421463659, 319444461, 777659025, ( -1), 563814575, 179016583, 297435329, 496625364, ( -1), 519389820, ( -1), 194787505, ( -1), 692975887, ( -1), 788615297, ( -1), 671753791, 813808256, 141030001, 825692993, 663243097, 974619576, 862936047, 665778668, 754493808, ( -1), 660057614, ( -1), 127424318, ( -1), ( -1), 389731716, 494868234, ( -1), 569831674, ( -1), 19021266, 997121563, 136586381, ( -1), 375853528, 159798031, ( -1), ( -1), 611580422, 366331686, 438828995, 431846620, ( -1), 458104414, ( -1), 953196869, 588652626, ( -1), 684490332, 749870469, ( -1), 836419187, 392741091, ( -1), ( -1), ( -1), 400828681, 562195855, 610752162, 861288928, 45216642, ( -1), 637127625, 853237485, 921337205, 199263085, ( -1), 536128761, 738987628, 352310710, ( -1), 951480219, 325348391, 900266793, 824132668, 138371883, 260325024, 953490562, 711694551, 376930529, ( -1), 443787296, 931932590, ( -1), ( -1), ( -1), ( -1), 298124373, 511966697, ( -1), 402148006, ( -1), 457509193, 290098286, 365616923, 129226744, ( -1), ( -1), ( -1), 780816643, 234584368, 311730379, ( -1), 704595142, 565184241, 811363744, ( -1), 143287006, 886407873, ( -1), 354076388, ( -1), 103469201, 949582552, ( -1), 788143427, 282097861, 567710833, 16312283, ( -1), 388101033, 36996111, 484456899, ( -1), ( -1), 941063833, 353940464, ( -1), 158466561, 448274114, 359088807, 495443788, 355691681, 235042710, 973793451, 995289176, ( -1), ( -1), 416613548, ( -1), ( -1), 714275216, 833221767, 235681309, 666809373, 147354398, 865739692, 303276926, ( -1), ( -1), 311849670, 396375300, ( -1), ( -1), ( -1), 22965358, 176647421, 363680262, 745513676, 254283004, 6427485, ( -1), 280833411, 615327863, 63050549, ( -1), 381593046, 305020155, ( -1), ( -1), 57211477, 819701126, 93228346, ( -1), 259266065, 860827961, ( -1), ( -1), 795501761, 729492767, 610699231, 33580870, ( -1), 364399563, 983116867, ( -1), 562420797, 37798240, 536800613, 750067881, ( -1), 19102782, 326134620, 208714813, ( -1), ( -1), ( -1), 113811797, ( -1), ( -1), 318234956, ( -1), 117595350, 189772187, 965492809, 801602814, 837590921, ( -1), ( -1), 751596471, 323833651, ( -1), 158343418, ( -1), 50206293, ( -1), ( -1), 772400882, 467312194, 827370688, 943237074, 850039273, 167619987, ( -1), 88202833, 554645999, ( -1), 563839901, 336004731, ( -1), ( -1), 657623741, ( -1), 271879987, 212680118, 731206583, ( -1), 448567696, 935489611, 855750917, 956898067, ( -1), 928714143, ( -1), 225833791, 447105911, 218708528, 293082668, 144179959, ( -1), 191169306, 665578816, 452379586, ( -1), 647860220, ( -1), 181846880, 626366781, 253775347, 429054872, 950244421, ( -1), 653924745, 130847222, ( -1), 894657403, 33479121, ( -1), 735494532, ( -1), 627637825, 184300794, 255104607, 708019429, 665101352, ( -1), ( -1), ( -1), 134716257, ( -1), 921964020, ( -1), ( -1), 281861835, ( -1), 657870732, ( -1), 171542908, 535670039, 302614458, 254790041, 826865832, 35284502, 905632804, 815197455, 640278179, 119797792, 733286157, 272933226, 577355878, 800482888, 791408723, 429897952, 947526912, 423731107, ( -1), 933327846, ( -1), 737445537, ( -1), 382612946, 289304049, ( -1), ( -1), 106982028, 160370965, 435605966, ( -1), 488956492, 775658222, ( -1), 625263965, 480437597, 947159786, 314195869, 92065458, 201606073, ( -1), ( -1), ( -1), 621331461, 720942581, 74431230, ( -1), 26643054, 262922953, ( -1), 615599352, 200465620, 813695771, 404640843, 732504249, 411295971, 519437774, 619648865, 126193277, 548687099, ( -1), ( -1), 32177348, 520657358, 223864754, 552359976, 52291872, 632789130, 799954500, 283779880, 866690353, 581623747, 684197443, 919112446, 74592607, ( -1), 821440325, ( -1), 25640238, 482207896, 423323716, 768209207, 288243551, 216521439, 473871943, 739445161, ( -1), ( -1), 370155594, 93508545, 423490606, 736479352, ( -1), 154089823, ( -1), 10356443, 378081645, 356128269, ( -1), ( -1), 74494638, 609842325, 438417257, 295710595, ( -1), 173117843, ( -1), 492246189, 767731630, 917460294, ( -1), ( -1), 497048721, 444958267, 189505043, ( -1), ( -1), 298231014, 780254673, 707008369, ( -1), 240042343, 387682474, 21005729, ( -1), ( -1), 211850112, ( -1), ( -1), 124011797, 450865627, 765417128, 480935860, 447919108, ( -1), 905782491, ( -1), 98558805, ( -1), 661629524, 312218358, ( -1), ( -1), 467013030, 190092561, 688948428, ( -1), 433931263, 328006454, 887485094, 865051493, 435113546, 323488978, 556003616, 421822670, ( -1), 436369246, ( -1), 579084724, 665355891, 966494386, 420845803, 742464845, 179129849, ( -1), ( -1), 655909570, 363188895, ( -1), 175764312, ( -1), ( -1), 972014039, 744930857, 814889448, 150359, ( -1), ( -1), 760956197, 29193577, 242123913, 55058322, 366835397, ( -1), 682725515, 285248023, 566812417, ( -1), 200402827, 789958674, 489446975, 220868178, ( -1), ( -1), ( -1), 327499231, ( -1), ( -1), 75962693, ( -1), ( -1), ( -1), 487501483, 873099753, ( -1), 325530811, ( -1), 615185046, 16822787, 495442310, ( -1), ( -1), 93961669, 962686374, 173882518, 455166888, ( -1), ( -1), 557285689, 615596332, ( -1), 854783369, 962888856, 60340736, 230931171, 320353231, 522734492, 864207578, 760742269, ( -1), ( -1), 240283604, 900867446, 476078596, 230762353, ( -1), ( -1), 832667006, ( -1), 223081632, ( -1), ( -1), 512270351, 7482283, 937013092, ( -1), ( -1), 592964080, 135508459, 120825819, 301362593, ( -1), ( -1), 129974211, 704188985, 551767163, ( -1), 244086143, 664490166, 667203965, 357380816, ( -1), ( -1), 449030522, ( -1), 372910472, 11232755, ( -1), ( -1), ( -1), 605315061, 671308932, 245148682, 224035351, 655201812, 366775819, ( -1), ( -1), ( -1), 630902289, ( -1), 156287310, ( -1), 113044914, 382178951, 358521748, 722955954, 70679715, 683143909, ( -1), 791446071, 76296312, ( -1), 164215944, 952100864, ( -1), 27571229, 545719534, 870699134, 600924684, 280537589, 384571071, ( -1), 424966439, 163821850, 676701510, ( -1), 432947869, ( -1), 568082596, 514273950, 557101590, ( -1), 356965178, 459006454, 503333491, 672979681, 687262735, ( -1), 53884614, 257443428, 970036791, 863262345, 90441201, 217382772, ( -1), 26419262, ( -1), 414722027, 256976141, ( -1), ( -1), 45977825, ( -1), ( -1), 784582369, ( -1), 147709479, ( -1), 287965008, 858852063, 186288768, 639910709, 990229795, ( -1), 207939975, 653954, 748231493, ( -1), 484731937, 781120449, 9626679, ( -1), 337773198, ( -1), 108137548, 136203157, ( -1), 738066914, 246818715, 540399928, 877902326, 431427197, 118218447, ( -1), 687092822, 628484120, 629942803, 324402574, 770489960, 341469155, 325495465, 475241803, ( -1), ( -1), 394754897, 51484987, 962014231, 844688279, 831637126, 292143800, 688975174, ( -1), 146403554, ( -1), 354802838, 935007710, 542035474, ( -1), ( -1), ( -1), 228437325, 627934713, ( -1), ( -1), 929019810, 818010699, ( -1), 686879968, 707136171, 690228268, 159569891, 402041901, 909747758, 729499010, 32560029, 359318865, ( -1), ( -1), 551083992, ( -1), 53529099, 523729665, 975509299, 963502731, 109559581, ( -1), 340090130, ( -1), 539922263, 895488915, ( -1), 16437392, 908046858, ( -1), ( -1), 742841915, ( -1), 552448493, ( -1), 387884803, 872850039, 307594371, 343020643, 689897007, 700885308, 570976505, 339327425, 727357528, 699614270, ( -1), 286273733, ( -1), 802434699, 165093280, 566423933, 852209594, 586336663, 963362513, ( -1), ( -1), 353459408, 928753633, 564960989, 20231433, 453413159, ( -1), ( -1), 912078756, 784016618, 66000956, 643499186, 828822765, 629770591, 552955374, 469019177, ( -1), 788410766, 354616808, ( -1), 105454094, ( -1), ( -1), 471205484, 772129847, 733045996, 718506901, ( -1), 320956178, ( -1), 111110744, ( -1), 88818427, 550450471, 500718127, 824084148, ( -1), ( -1), 480160811, ( -1), ( -1), 276319374, ( -1), 905808645, 261478166, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 595289593, 886111151, ( -1), 506659802, 614577583, 489321712, 433671577, ( -1), 852513605, ( -1), 89914749, 595325920, 43980283, 148800512, 277076191, 743163937, 116836428, 912647543, 688705020, 264034096, 994193034, 677718264, ( -1), 622807270, ( -1), 764425482, 66106688, 750498344, ( -1), 774503769, 237373412, 53610205, 185097033, ( -1), 173841518, ( -1), ( -1), 506030326, 310182016, 319025562, 528393763, 127208761, 643569636, ( -1), ( -1), 709201817, 856778871, ( -1), ( -1), 250708616, 23114675, 846025631, 51326210, 289162473, 42065347, 987062581, ( -1), 908555877, 118964383, ( -1), 649343556, 690224659, ( -1), 890549712, ( -1), 149473812, 376497789, ( -1), ( -1), 535574377, 876384627, 121558753, 767456226, ( -1), 896990482, 774058340, ( -1), 274725708, 155986901, ( -1), 572592647, 274805465, 928371196, 233258812, 937254637, 180685635, 800062413, ( -1), 429371366, 486087804, ( -1), 384679000, ( -1), 979281711, 275567320, ( -1), ( -1), 258703305, 558880637, ( -1), 773473317, 594795726, 102321858, ( -1), 536297477, 192983387, 966151268, 636637576, ( -1), 170935754, 603945261, 704664696, 769655904, 738971640, 918522769, ( -1), ( -1), 456342762, 876192278, 69576616, 445410431, 627599873, ( -1), 964597181, 804789741, 601062736, 516677976, 949168898, 790709855, 77492092, ( -1), 209073549, ( -1), 833881740, ( -1), 728476807, 596853876, 959591440, 770246952, 832181727, 764294730, 693445954, 772665248, 655840784, ( -1), 868552093, 207117899, 616509749, 720828155, 372673984, 915236363, 436759919, 287085627, 986126387, 815960198, 1857148, 223514389, 522722815, ( -1), 751424230, 521170326, 872737912, 319276042, ( -1), 291700337, ( -1), ( -1), ( -1), 55193932, ( -1), 395872855, 551653216, 815609088, ( -1), ( -1), ( -1), 343928260, 852264492, 905465649, 990117499, ( -1), ( -1), 21842642, 562504860, ( -1), 623172168, 122120325, ( -1), 856836670, 184309950, 145004648, ( -1), 3346728, 50702099, ( -1), 386089966, 929708045, 730331892, ( -1), 532179354, 487334365, 44962485, ( -1), 926191176, ( -1), 202245468, 80968352, 273988238, 811500581, 843504142, 366406848, ( -1), ( -1), 819072983, 803582986, ( -1), 786875586, ( -1), 405833467, 753210148, ( -1), 947247664, 270691918, 772666333, 630822580, ( -1), 992009330, 878849055, 319544054, 914649853, 711705108, ( -1), 967567132, 71265879, 99486373, 177062439, 901502316, 354520455, ( -1), 132868888, 348208279, ( -1), 61440207, 317996960, ( -1), 339174717, 500005033, 5383027, ( -1), ( -1), ( -1), ( -1), 318087222, 930554789, 630898173, 442067753, 855842860, 678312710, 909402756, ( -1), 561292976, ( -1), ( -1), 438124072, ( -1), ( -1), ( -1), ( -1), ( -1), 14497778, ( -1), ( -1), 710524513, 293246371, ( -1), 712928131, ( -1), 975092142, 241451308, ( -1), 44464954, ( -1), ( -1), ( -1), 877190100, 346980571, ( -1), 896922037, 133980750, ( -1), 698970308, 245192511, 865979781, 469631794, ( -1), 102214708, ( -1), 509071908, 57966830, 733911536, 237881723, ( -1), ( -1), 220986629, 373936804, 655561046, 989702152, 83326886, 219001677, ( -1), 1500008, 508136368, 381739901, 461644258, ( -1), 918489570, ( -1), ( -1), 818905864, 675579976, ( -1), ( -1), 423524498, 87862958, ( -1), 450035441, 285913927, 782967819, 931843680, ( -1), ( -1), 142904973, 638486216, 626815193, 984766411, ( -1), 317982843, 333583572, 346222362, 25308583, 269041269, ( -1), 72247185, 22689032, 427560850, 750355708, 977400238, 92640267, ( -1), 309800301, ( -1), ( -1), 619882823, ( -1), 709670638, 765199832, 642043937, ( -1), ( -1), ( -1), 954106389, 979810871, 608487333, 538210325, ( -1), ( -1), 263464464, 562692179, 542246290, ( -1), 714937803, ( -1), ( -1), 219617888, ( -1), 531813194, 949477859, ( -1), 457097211, 344130016, ( -1), 397795730, ( -1), 590302213, 34239404, ( -1), ( -1), 943343798, 964087080, 120324063, 316147705, 625220445, 442639120, 278640376, 239529974, 931621831, 902939710, 607960761, ( -1), ( -1), 200885789, ( -1), ( -1), 284220480, 29977423, 834386197, 270464727, ( -1), 392859606, 533263784, ( -1), 329551626, 857844880, 437373765, 400871608, 710567444, 524143637, ( -1), 699878481, ( -1), 926037651, 614186325, ( -1), 475968334, 825756038, ( -1), 751054731, 903497490, 602889934, 500677897, 22919822, 658161584, ( -1), ( -1), 685734978, 420169807, ( -1), ( -1), ( -1), 961377141, 936568959, ( -1), 940843840, 844061051, 260756827, 700829750, ( -1), 487678644, ( -1), 912060499, 172365782, ( -1), ( -1), 99399451, ( -1), 264340836, ( -1), 902482005, ( -1), 182031980, 746030805, ( -1), 521564364, ( -1), 780823350, 861589049, 4705334, 500168361, 931868918, 227008339, 487922993, 236518317, ( -1), 517614076, 337427730, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 786104907, 477439364, 270806337, ( -1), 716456335, ( -1), 62992210, 908775002, 403129830, 550372683, 328229727, 626597337, ( -1), 388900806, 999890020, 480197785, 890420689, 369240352, 174078018, 198419332, ( -1), ( -1), 477404916, 738489371, 802165221, ( -1), 878887490, ( -1), 731885933, 49409146, 251976178, ( -1), 714139946, ( -1), 309347334, ( -1), 811388995, 58509779, 511493263, ( -1), ( -1), 350845517, 640817441, 961774997, ( -1), 147498232, 456297821, 855502788, 413887396, 923423538, 802227237, 419719873, 599425572, 798408425, 426864705, ( -1), ( -1), ( -1), 152571816, 313599696, 562954669, 556503842, ( -1), ( -1), 686598991, ( -1), 468114310, ( -1), ( -1), ( -1), 238711141, 440842445, 611642165, 228785701, 243693583, 540684965, 807593652, 819728207, 227588809, 310840183, ( -1), 729604219, 636193174, 161177963, 248726365, 514731916, 441730046, ( -1), 67189187, 755233567, ( -1), ( -1), 434577538, 15051243, ( -1), 773942260, ( -1), 692499846, 74508667, 777089038, ( -1), 579836136, ( -1), ( -1), 609932023, ( -1), ( -1), ( -1), 461509339, ( -1), 675048328, ( -1), 751618623, 548068759, 708654458, ( -1), 42841922, 950080120, ( -1), ( -1), 394562065, ( -1), 369937857, 494104752, 978224207, 182907636, ( -1), 620311751, 53688274, 491891570, 6653929, 495641384, 70393009, 857664996, 522855645, 278006869, 322708400, 180386276, 999729480, 66886316, 194057631, 462273872, 902620584, 119605659, 13264706, ( -1), 252686568, ( -1), 76348227, 777479194, 622744053, 328908974, ( -1), 809302696, ( -1), 876795190, ( -1), ( -1), ( -1), ( -1), 284247508, 756546713, ( -1), 414725364, 52052281, 199882847, 376526993, ( -1), 580145516, 298385612, 717780209, ( -1), 997353811, 579149703, 12252470, 715117557, 64155050, 819174252, 10488212, 522062642, ( -1), 862406254, 460756555, ( -1), ( -1), 293175381, ( -1), ( -1), 275610602, 532674218, 240666984, 889624390, 465823156, ( -1), ( -1), 100595205, ( -1), 17255865, 624029775, 364539724, ( -1), 207883610, 396448619, 713622512, ( -1), 993591733, 249519912, 774564375, ( -1), 569438270, 447885060, 98406732, ( -1), 348732968, 367218230, ( -1), 757368270, 315039494, 156348778, ( -1), ( -1), 926519395, 807849068, 245918785, ( -1), 454494848, 952074911, 345751244, 169263586, ( -1), 26989698, ( -1), ( -1), 587331945, 668475488, ( -1), 766542816, ( -1), 290359697, 861489503, 751583033, 341561135, 489519091, 577619930, 683612106, 301176716, 955072467, 120989247, 718822182, 52950545, 127619919, 715077487, 203478796, ( -1), 91736514, ( -1), 158032276, ( -1), ( -1), 159854643, ( -1), 871473987, 455068423, 173168758, 455862679, 947940412, 869338642, ( -1), ( -1), ( -1), 805373647, ( -1), ( -1), 894649627, 302784580, ( -1), 432700643, 770006584, 282645711, ( -1), 465120140, 518939098, 290284959, 525301786, 762736448, 253200288, ( -1), 101826496, ( -1), 41877416, 135797209, 201039601, 180116568, 843769344, 373971252, ( -1), 149542910, ( -1), 453573347, 348841521, 413406793, 939700936, 589775818, 182735609, 910099735, ( -1), 351917983, 201284583, 912697784, ( -1), 514665164, ( -1), 520384341, ( -1), 244891841, ( -1), 26179184, ( -1), 743385127, ( -1), ( -1), 810757116, 678471798, 894986412, ( -1), 458352157, 459951959, 809057572, 436654299, ( -1), 595463763, 233927289, ( -1), 656095832, ( -1), ( -1), 920121035, 185797453, 651842849, 920718415, 824206667, 602203524, ( -1), 484730888, 164964571, ( -1), 482725592, 699125247, 50236691, 634952455, 399846961, 493725305, 373183348, ( -1), ( -1), 72614836, 368377699, 368521793, 545963063, 488480140, 131054901, 714521287, ( -1), 17583884, 900206525, 586967919, 997347877, ( -1), 313730793, 612976288, ( -1), 31247748, ( -1), 831702199, ( -1), 838653875, 93930754, 732510353, 455181155, 492363345, ( -1), ( -1), ( -1), 471738826, 340104352, 633898889, 308673394, 514891992, ( -1), 719205942, ( -1), 253116389, 928285988, 441633804, 502717452, ( -1), 450338721, 893379273, ( -1), 450100178, 619211087, 119397597, 291574224, 984974100, 382378939, 979019104, 346745452, 966882459, 356235012, ( -1), 541408204, ( -1), 158865604, 134156728, 818105957, 816266449, 297627667, 50264850, 89345149, 102187370, 195889048, 863149334, 984052644, 146384148, ( -1), 472643394, 941102978, ( -1), 973396281, ( -1), ( -1), ( -1), 27644208, 113750084, ( -1), ( -1), 486328297, 143265975, 390316128, 311865113, ( -1), 970746202, 224218797, 902836668, 150413805, 295222503, 248568994, ( -1), 52117499, 678340825, ( -1), ( -1), 731329782, ( -1), 210918172, 669600710, ( -1), 945221010, 637746872, 605746715, 329180803, 970798214, 886527007, 335734350, ( -1), 791395599, ( -1), 439790320, 49905386, 330519777, 647771527, 412448759, ( -1), 639848607, 382295560, 466848608, 281846585, 122251411, ( -1), ( -1), ( -1), ( -1), 303962603, 505011687, 439032299, 66860453, 74031654, 43643207, ( -1), 835353895, 294972190, 925712310, ( -1), 51918433, ( -1), 353966432, 932428375, 400495129, ( -1), 720597558, ( -1), 12662401, 638344440, ( -1), ( -1), 79916271, ( -1), ( -1), 63363756, ( -1), 324455705, 976222810, 874196423, 646581807, ( -1), ( -1), ( -1), 417543789, ( -1), ( -1), ( -1), 351785415, 871827787, 811307282, ( -1), ( -1), ( -1), ( -1), 837537113, ( -1), 518337589, ( -1), 863275303, 859713713, 402142039, 772651859, 351359116, 176072710, 554303536, 461945624, 939539923, 223204409, ( -1), 798214599, 410074447, 375979550, ( -1), 540821314, 696016227, 420925843, 778868465, 505893075, ( -1), 708541116, 232612517, 421712101, ( -1), 325152504, ( -1), 400226020, 873204670, 952972973, 721616987, ( -1), 38644047, ( -1), ( -1), 929271991, 915988173, 287385793, 938112557, 429729430, 484242502, 28149909, 903709313, ( -1), 153385846, 527691035, 130909510, 607272702, 45699181, 578142666, 740892375, 339497605, ( -1), ( -1), 995317291, ( -1), 953936050, ( -1), ( -1), 398054324, 88904704, 804593616, 602196036, ( -1), 378025051, 654566231, 898310659, 270656558, 975661629, ( -1), 812706021, 844700577, ( -1), 894203557, ( -1), 363585458, 327328063, 6289297, 568170939, 125435068, 980726723, ( -1), 242232578, 512276351, 99556057, ( -1), ( -1), ( -1), 131105535, ( -1), 130312347, 695221138, 498240098, 325059196, 600826822, 688594894, 36883935, ( -1), 335637093, ( -1), 189676419, 252936330, ( -1), 189480644, 31895074, ( -1), 911816103, 876193572, 619603806, ( -1), 156210002, 23142620, ( -1), 908552222, ( -1), ( -1), 269587457, ( -1), 540411857, ( -1), ( -1), 256904383, 24302742, 479442119, 320573441, ( -1), 528209122, 764077943, 992483711, ( -1), 985902060, 655686065, 473791404, ( -1), 599795167, 317773317, 587495908, 675338781, 886835281, 256182816, ( -1), 289486935, ( -1), 306831989, 814022012, 573915741, ( -1), 812622287, 284434448, 843903808, ( -1), 158749046, 560106015, 276449086, ( -1), ( -1), 865417180, 917747677, 567713867, 455220766, 634557514, 217459052, 433955327, 281026561, 13610863, 663885382, ( -1), ( -1), 159845855, ( -1), 854841178, 351660050, 425126040, ( -1), 356959958, 290535019, 446439720, 960308294, 703907802, ( -1), ( -1), ( -1), 565997565, 989057826, 2336848, 620589393, ( -1), 703202686, ( -1), ( -1), 69599053, 341599507, ( -1), 403547999, ( -1), 888079068, 966340741, 627936130, 228539704, ( -1), ( -1), 984327722, 935182824, 746011286, ( -1), 502823703, 945412984, 794760524, 833973175, 775801795, ( -1), 908396966, 296459980, 68239565, 377463607, 255963148, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 821581469, 482043551, 444661236, 847654667, ( -1), 8027783, ( -1), 255111253, 81974765, ( -1), 168159378, 655181119, 780799423, 305585042, 328865813, 112017856, 162164360, 157360764, 140677461, 659619792, ( -1), 959497958, ( -1), ( -1), 960701403, 73287672, ( -1), ( -1), 685148533, 999951885, 19981886, 90734663, 409020547, ( -1), ( -1), 630125850, 396642053, 900898118, 536235577, ( -1), 22593788, ( -1), ( -1), ( -1), 247990172, 272328292, ( -1), ( -1), 120040293, 174206122, 357040521, ( -1), ( -1), ( -1), 800882129, 856760138, 951681972, 539766914, 904160377, 373854903, 617391260, ( -1), ( -1), 787777784, 291093187, ( -1), 365028588, 899866885, 876928974, ( -1), 783792345, ( -1), 652466193, 763804184, ( -1), 727301895, 915468878, ( -1), 499410325, 115352480, ( -1), ( -1), ( -1), 851519777, 996851850, 288694287, 432232837, 45662842, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 529075621, ( -1), 6743763, 655259062, 523355914, 415476824, 892582521, 408591689, ( -1), 495007541, 11409476, 165307073, ( -1), 475729616, 752062983, 69308671, 774083444, 351348845, 68760594, ( -1), 862477367, 667953056, 882699132, 753824813, 109349830, ( -1), ( -1), 168602449, ( -1), 91896015, 474248000, 11567462, 424497060, 720834363, 122097815, 170939940, 694375483, ( -1), 390663834, ( -1), ( -1), 121381580, 591474374, 514357513, 14572177, 985750380, 54395008, 347703365, 208824327, 964373516, 309316161, 339964431, 37632463, 740452406, ( -1), ( -1), 17027169, 497835892, 564967859, 120101920, ( -1), 276038581, 633609872, ( -1), ( -1), ( -1), 975093456, ( -1), ( -1), 426626721, 210458654, 144811956, 470754711, 275041073, 774414787, 940658545, 695563067, 395591214, ( -1), 659640854, 182133803, 654769714, ( -1), 270502245, 799564351, 884831881, ( -1), 291423863, 627721759, 745392917, ( -1), 534116566, 3134423, 631302650, 651927899, 300202375, 120041022, 537016459, ( -1), ( -1), 421664046, 24774364, 245710685, ( -1), ( -1), 881702193, 862370199, ( -1), 303436260, 42599266, 871794819, ( -1), 167314761, 699630310, 172551897, 806025291, 285034983, 266549272, ( -1), 269875574, 47985178, ( -1), 174464207, 684387205, 979369169, 705211930, 311162513, 602188740, ( -1), ( -1), 44671779, ( -1), 933508515, ( -1), 265689620, 774345710, 708809146, 969665113, 353353132, 144616943, 899384272, 550320909, ( -1), 163827967, ( -1), ( -1), ( -1), 81872461, 777050788, ( -1), 775663732, 489313432, 342272839, ( -1), ( -1), 592500106, ( -1), 65535944, 902463274, ( -1), 786184539, 71348287, 904518574, ( -1), 318931539, ( -1), ( -1), 853463137, ( -1), 757254746, 835736428, 838550408, ( -1), 364924009, 932124063, 987289351, 234437367, ( -1), 185025074, 244382552, 840616002, 860638044, 561785418, 116692806, 891088960, 585116299, 100397024, ( -1), ( -1), 98639711, ( -1), 568841589, 508524760, 216230003, ( -1), 213228698, 468246665, 360969616, 238768419, 129303536, ( -1), 918388179, ( -1), ( -1), 156143944, 604385060, 662982787, 726144361, 790872342, 845489243, 839304465, 160677911, 533981662, 653223568, ( -1), 283252385, 390397534, 210910831, 457715377, 764299973, 513094505, 350734017, 858084799, ( -1), 100983917, 559643783, 690602656, 508376785, 699228062, 341867939, ( -1), 170473126, ( -1), 433031702, ( -1), ( -1), 429795346, 961129707, 384436830, ( -1), 946517584, 797189758, 556801419, ( -1), 249858343, ( -1), ( -1), 143838850, 57781859, 791647088, 205786362, 918739379, 638172411, ( -1), 490373988, 322383092, 93464606, 309977842, ( -1), 785922327, 160205966, 250279668, 298593576, 155165784, 858063008, 96917574, 882285242, 676687209, 332104024, 63327415, ( -1), 250060494, 46210446, ( -1), 134158586, 591075188, 892390610, ( -1), 188034808, 845460182, ( -1), ( -1), 222203324, 411348843, 336920539, ( -1), 187127865, 824904907, 849239758, 503398423, 399424145, ( -1), 188496382, 111099419, 628414494, 773730836, 735097792, 145064520, 489178872, 681328526, ( -1), ( -1), 988940907, ( -1), ( -1), 599864281, 385165019, ( -1), 646780376, 718662162, 268178614, 616951655, 685085150, 678336491, 951985635, 698598112, 521690153, 396883552, 957055881, 218405676, 82641208, 919951156, 376461498, 892276264, ( -1), 154329611, 649489561, 653734675, ( -1), ( -1), ( -1), ( -1), 53032496, 842151917, ( -1), 746276614, 825838868, 166912462, 836495252, ( -1), 905128225, 685744687, 178928572, 306110862, ( -1), 408404449, 510721179, 206536469, 808083801, 368363297, ( -1), ( -1), 956686551, 115167984, ( -1), ( -1), ( -1), ( -1), 625115207, 810915087, 319191756, 20746837, 580205172, 733156426, 568666123, 733441832, ( -1), 450008070, ( -1), ( -1), ( -1), 421148053, ( -1), 24755808, 634420827, ( -1), ( -1), 732638748, ( -1), 527491129, 187004595, 950475455, 793563057, 291284765, 225652988, ( -1), 844374840, ( -1), ( -1), ( -1), 171409084, 838004596, 330960006, 289054667, ( -1), ( -1), ( -1), 317718001, 300437328, ( -1), 12476668, 46787678, ( -1), 501340305, 820367329, ( -1), 6172234, 799506359, 145466717, 514922415, ( -1), ( -1), 572421907, 640196440, 631784862, ( -1), 415734847, 628618344, 750435063, 235799891, 845783807, ( -1), ( -1), ( -1), 258005654, 142205581, 699749561, ( -1), 962340313, 507135896, ( -1), ( -1), 304908333, 159242499, ( -1), ( -1), ( -1), 743172441, 419699092, 127269488, ( -1), 433658122, 503251311, 500734201, 563615696, 688694285, 409728563, ( -1), 551320624, ( -1), 907261431, ( -1), 217388766, 356301032, 579694820, ( -1), 990192731, 752643233, 730129750, 191871528, 846805270, 99570628, 352982092, 648444644, 36367970, ( -1), 982350324, 448179639, 920402921, 509107748, ( -1), 815188261, ( -1), 198770510, 205629922, 506722266, 600032441, ( -1), 351753324, 790989334, 801822741, ( -1), 828883201, 32359161, ( -1), 91262061, 379922195, 187955864, ( -1), 970787653, 592076203, ( -1), 33216090, ( -1), 935980351, ( -1), 145814529, 441226544, ( -1), ( -1), 758374047, 49897451, ( -1), 661830298, 658719547, ( -1), 899309651, ( -1), ( -1), ( -1), 694320038, 431503205, ( -1), ( -1), 991197829, ( -1), ( -1), 648006336, ( -1), 66084425, ( -1), 396326385, 157666255, 325660719, 742620665, ( -1), ( -1), 865127899, 971332212, ( -1), ( -1), ( -1), ( -1), ( -1), 463929295, 693603517, ( -1), 406403027, 910005717, 9886694, 906005651, ( -1), 437552189, 603543886, 892486168, 758292591, 472207518, 751277851, 196878294, 376574794, 86307129, 721644114, 389176233, ( -1), ( -1), 620358782, ( -1), 716905420, 719254843, 215870388, ( -1), ( -1), 868571933, ( -1), 912725094, 478750359, 398643720, 56197160, 188516046, ( -1), 68332056, ( -1), 742029352, 118605269, ( -1), 900797932, 107306248, ( -1), 274449925, 11084677, 521649657, 481092418, 589164964, 632720356, ( -1), ( -1), ( -1), 334692384, ( -1), ( -1), 993641355, ( -1), 355475504, 135533028, 449534795, ( -1), 63215395, 671704095, 704848522, ( -1), 229036427, ( -1), 590263120, 244662248, 868693471, ( -1), 243749720, ( -1), 894100567, 553397281, 392531838, ( -1), 705784965, ( -1), ( -1), 987261727, ( -1), 427637538, 206607588, 324174172, 512481290, ( -1), 613510464, 740832210, 494126185, 896188955, ( -1), ( -1), 979592539, 50653985, 895878961, ( -1), ( -1), 585560247, 284076204, ( -1), 487085431, 877680065, 257665039, 216048766, ( -1), ( -1), ( -1), 624911849, 385298027, 69616590, ( -1), 76487812, ( -1), 356448969, 950866983, 153311866, 297748007, ( -1), 608254738, 830749362, 989593090, 567242137, 484841974, ( -1), ( -1), 733729868, ( -1), 247867197, 580814933, ( -1), 401811368, 740267907, 644701661, 232599584, ( -1), 821730959, 293185732, 665172224, 834233333, 77001010, 612231340, ( -1), 704325701, 415752106, 788852561, ( -1), ( -1), ( -1), 707631843, ( -1), 18778699, ( -1), 384765111, ( -1), 137161387, 90030666, ( -1), 409271078, ( -1), 342044262, ( -1), 653689098, 562273995, 471287235, 412439342, ( -1), 72325877, ( -1), 93901085, ( -1), 233093270, ( -1), 140130110, 411013418, 869467788, 707651648, 268278308, 968038630, 458425862, 12732998, 241521521, ( -1), 147917105, 170880065, 498468086, 646304792, ( -1), 524661064, 683566189, 795122935, ( -1), 658590115, ( -1), ( -1), 404891372, ( -1), 287887750, 586668143, ( -1), 770293857, 893434571, ( -1), 330500084, 939960657, ( -1), 807605141, ( -1), 383434991, 660343585, 893495338, 405808618, 199445211, 924857610, 618356969, 40695160, ( -1), 259630945, 495820853, ( -1), 726356482, ( -1), 579915456, 469876066, 539673616, 330981228, 338653659, 762294301, ( -1), 381866837, 565689162, 431389700, 328866296, ( -1), ( -1), 439387476, 932801686, ( -1), 59896105, ( -1), 51462587, 267966128, ( -1), 588107496, ( -1), ( -1), 373684841, ( -1), 281742391, 2516365, 163812769, 455704597, 84897730, 336710980, ( -1), 727094625, 980900531, 177050587, ( -1), 124663272, 503791143, ( -1), 658723375, 710275463, ( -1), 478136025, ( -1), 815772499, 482047610, 545971134, ( -1), 370556313, 675099776, ( -1), 569697747, ( -1), 11549190, 98681367, ( -1), ( -1), 337424113, ( -1), ( -1), 84094032, ( -1), 485510387, 591259066, ( -1), ( -1), ( -1), 241194990, ( -1), ( -1), 838061265, 475221632, 111901278, 802627392, 756671743, 968358457, 526407977, 78652377, ( -1), 911223151, 898766719, 93648724, ( -1), 664661657, 661307545, 401922816, ( -1), 467284774, 272269046, ( -1), ( -1), ( -1), 133418790, ( -1), ( -1), 450686172, ( -1), ( -1), 648476877, 207561418, 732869298, ( -1), 26512545, ( -1), 173706882, 155721898, 93441200, ( -1), 286999006, ( -1), 351528383, 75314305, 727302042, ( -1), ( -1), ( -1), 837429225, 234014843, 783571517, 277370798, ( -1), 56265011, 880898152, 207351167, ( -1), ( -1), 697004654, ( -1), 640874590, 787778565, 734867628, 701359145, 237041402, 44446135, 564424444, 906193633, 329583851, 925010707, 371620677, 701579551, 774288186, 579183783, 585802538, 673996731, 869641151, 462373176, ( -1), 329313392, ( -1), ( -1), 32587530, ( -1), ( -1), ( -1), 412531796, 643548689, ( -1), 989868667, 172492600, 58998970, 528114125, 296734906, ( -1), 722847535, ( -1), 995496311, ( -1), 175550624, 372102385, ( -1), 371380061, 368448698, 555527344, ( -1), 827116203, 359797321, 956423683, 950334410, 849685241, 350272762, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 620512182, 437751253, 642447547, ( -1), ( -1), 220084824, ( -1), 517427266, ( -1), 552473865, 552654879, 665611293, 744430456, ( -1), ( -1), ( -1), 872903843, ( -1), ( -1), 775015802, 210669751, 144703424, 368595504, 386810061, 27609050, 60057627, ( -1), 442370150, 239347052, 83055724, 255187617, 668716144, 449144017, 616427681, 987931069, 664883526, ( -1), 187524869, 112101201, 322989691, 817191244, 748511118, 152809731, ( -1), 502696761, 24350175, 676222247, ( -1), 193123270, 556626677, ( -1), 974504168, 211300563, ( -1), 113631193, ( -1), ( -1), 661596556, ( -1), ( -1), 495593662, 837690313, 924225690, 75374831, 885679162, 488269173, 444665995, ( -1), 745468012, ( -1), 50290101, ( -1), 646045786, 282793907, 925236568, 38977923, ( -1), ( -1), 725110971, 57502182, 185599882, 17295538, 41112974, ( -1), 238410236, 681788629, ( -1), 807208829, 639642877, 56159685, ( -1), ( -1), 189572648, 972806966, ( -1), 611267371, 305222237, ( -1), 440494041, 267339773, 277530098, 229647706, 256433025, ( -1), ( -1), 962210579, 86528596, 910551693, 649992138, 765738926, 680707454, ( -1), 451846660, 539687021, 430930427, 908157566, ( -1), 670253828, 94497064, 959495478, ( -1), 764683753, ( -1), 981846491, ( -1), 864008537, 869658876, 738526659, 469908163, 553795718, 473943461, 756873725, 537998057, ( -1), 933679363, 221732967, 509310101, ( -1), ( -1), ( -1), 491686061, ( -1), 396095283, ( -1), 696486166, 869451990, 344017658, 127387353, ( -1), 616001404, 893125721, ( -1), 595246401, 977503120, 892420605, 181609890, 111526762, 905227226, 689173283, 595319408, 712495115, 48100827, 429965954, ( -1), 183494313, 299172133, 312296714, 192932514, 211231012, ( -1), ( -1), ( -1), 166590440, 540274213, 907051829, 598331043, ( -1), 752130208, 543690723, 869258493, 948250397, ( -1), ( -1), ( -1), 442008735, ( -1), 480314419, 923876895, 299112914, ( -1), 788171344, 991138394, 152632380, 507046946, ( -1), ( -1), 653879000, 695123682, 181950224, ( -1), 240977341, 618592997, 394311238, 253972943, 993575626, 723672675, 689481579, 613355252, 205202455, 95068165, 241653245, ( -1), 951047189, 458449650, ( -1), 815505559, ( -1), 712110915, 565572770, 838242708, 805668521, 576848794, 519165790, 850770388, ( -1), 287979058, 838796178, 63425724, 506670444, ( -1), 451978051, 125530637, 868915171, 799324966, ( -1), 121482752, 676553148, 504819364, 252233948, 301972434, 331838117, ( -1), ( -1), 416939718, 965227844, 11545043, ( -1), 778947724, 622915253, 382920296, 894384999, 784391823, 906796762, 355638021, 738423410, 210027641, 696804164, 278614893, ( -1), 60172959, ( -1), 632477577, 353391492, ( -1), 971941940, 234617273, 68813037, 221223457, 868108837, 76501354, ( -1), 562054482, ( -1), ( -1), 59287725, 952154987, 33582514, 300847754, ( -1), ( -1), 689526852, ( -1), ( -1), 742026848, 883850772, 812491291, ( -1), 204007035, 272097253, 964738234, 845806359, ( -1), ( -1), ( -1), 994740427, 112478477, ( -1), 7399083, ( -1), ( -1), 42732554, 191898330, 523860002, 124388888, 458205364, ( -1), ( -1), 212908217, 54645844, ( -1), ( -1), 444599600, ( -1), 752580515, ( -1), 313231986, 757471719, 242595651, ( -1), 842935044, 170569148, ( -1), 753089944, 771500688, 910023007, 185889011, 776193927, 976487606, 670668564, ( -1), 367868856, 948261231, 323777076, 108304993, 181190242, 670059465, ( -1), 184574808, 905356040, 804711431, ( -1), 95846474, 162814490, 943766982, 705624556, ( -1), 171014823, 137828179, 52559601, 218141807, 397103044, 341820096, 458073654, 864757748, ( -1), 698287460, 667566663, 562939099, 369950106, 281996534, ( -1), 67182976, 704087446, 590659217, 643715652, ( -1), 63708986, 458029704, 509589890, 514437941, ( -1), ( -1), 822052968, ( -1), 980603024, ( -1), 498008946, 943506742, 611177219, 716029818, ( -1), 390678124, ( -1), ( -1), ( -1), 918912182, 961626868, 788407529, 383570426, 431890257, ( -1), 47423693, 55401036, 199193407, 903104992, 992505501, 264205942, 602139823, 29453139, ( -1), 676575636, 720441128, 740285258, 823142711, ( -1), 612170163, ( -1), 665619946, ( -1), 747060533, 302166890, 199274901, 714808311, 650769793, 732045094, ( -1), 144168951, 580401425, ( -1), 841591817, 761416253, ( -1), ( -1), 739781709, 698830273, 434408824, 877040275, 84379610, 923634792, 744171695, ( -1), ( -1), 365591793, 772854384, ( -1), ( -1), 25934211, 31979, 776646989, 790326541, 354203704, 960042673, 467353784, ( -1), 240556334, 942457589, ( -1), 235725979, 133371148, ( -1), 936312175, 370905350, 387319522, 53994576, ( -1), 149787504, 593033165, 705760796, 637003070, 596092032, 650363378, 298437820, 585143279, 249985719, 966479521, 482683595, 584800459, ( -1), ( -1), 432380325, 506874885, 439673014, 747244357, 372970320, 740957536, ( -1), ( -1), ( -1), 89561719, 345742717, 399313246, 973998179, 707440274, 778996629, 731594669, 984717549, 876871902, 292257072, 399911222, 1758281, 247284199, 348827240, 367884016, 52837963, 366738970, ( -1), ( -1), 242609187, 369162804, 660286699, ( -1), 45178748, ( -1), ( -1), 156923848, 708182668, ( -1), 246011833, 348399317, ( -1), 736559431, ( -1), 285811093, 158306521, 690070492, 112950430, ( -1), ( -1), 53590964, 616295634, 696034338, 749973503, ( -1), ( -1), 271256154, 459948255, ( -1), ( -1), 110870870, 886855171, 68297398, 327822024, 710208886, 317972015, 847505514, 58310619, ( -1), 630903463, 552042254, 641355739, 425182375, 57183449, 634290733, ( -1), 119620360, 528614502, 350631564, 280504893, 305426440, 869888949, ( -1), 687371766, ( -1), ( -1), ( -1), 287827350, 16752467, ( -1), 20734690, 481910373, 874231591, 764470274, 150490446, ( -1), 96638996, 226051204, ( -1), 765648666, 330283143, ( -1), ( -1), 117663185, 876983233, 445577694, ( -1), 605712188, ( -1), 384377188, ( -1), 477474012, ( -1), ( -1), 224883882, ( -1), 126956896, ( -1), 45252387, 180616766, 194145117, 697853906, ( -1), ( -1), 894457645, 672537933, 269229540, 7281857, 572151548, ( -1), 95721799, 24574822, ( -1), 817924079, 118530514, 560528551, 65633478, 272705162, 310146897, 608495411, 384193952, 780388551, 767356584, 978636095, ( -1), 744090727, 811779124, 226055334, ( -1), ( -1), 405260950, 338992899, 526246009, 94718247, ( -1), 366636321, 964121126, 917974693, 88821145, 44310840, 213407690, ( -1), ( -1), 109747113, 863211289, 224962900, ( -1), 888125603, 532966366, 242507035, 847349327, 697555101, ( -1), 583683826, 804039569, 972942421, 282972426, ( -1), 307860726, ( -1), 708237449, ( -1), 799280017, 502300570, 724480273, 72505134, 316884923, 384795400, 191963645, ( -1), 58398086, ( -1), ( -1)])," 995775846 (minDifference [155852482, -1, 205273984, -1, 352105079, -1, 676990998, 220355245, 630119173, 785033767, -1, -1, 471165589, -1, 406639560, 321537742, 155323266, 480347933, 202550498, 355931798, 113652451, 641365132, 610075689, 269920662, 501280382, 488679666, 895630264, 738627016, -1, -1, 511758035, 880391577, 257430200, 343985332, 800390763, -1, 42135243, 36821987, 176406672, 95853787, -1, -1, 8909509, 458364994, 957068491, -1, 404556539, 318302340, 859359943, 874074948, 405885881, 46541070, -1, 284715633, 412682964, 726503190, -1, 576571795, 663934262, 141937862, 567542064, -1, 24938269, 617797441, 805372891, 825825392, 685085352, 776648405, -1, 126426801, 253655918, 133137312, 161651910, 649986976, -1, -1, 93101424, -1, 289138065, 9385552, 48135410, 450907272, 3602831, 944279429, -1, 696375923, 918845419, 409799339, -1, -1, 696979921, 270949192, 717981256, -1, -1, 431294182, 681333088, 929565541, 574715368, -1, -1, 720691769, 142662666, -1, 812798723, 88113306, 751224517, -1, 778112862, 178785814, 405686943, -1, 496682258, 921247338, 548982676, 986124436, -1, -1, 3902300, 942668248, 958610270, 912781918, 990695702, 199416203, 572461540, 848393460, -1, 37511148, 6652022, 399349486, 58465154, 496215626, 774338871, 215651417, 224315967, -1, 591816003, -1, -1, 182754769, -1, -1, 658941988, -1, 971441704, 232824930, 406783410, 421133944, 720174809, -1, -1, 31662928, 115229020, 742073631, 811699720, -1, 73436407, -1, 983026508, 988769379, 520375829, 821093640, 594064875, 915985366, 207768962, -1, 971282877, -1, 900781515, 585333637, 787382313, 429817521, 771287682, 880291078, 688892978, -1, -1, -1, -1, 859283457, 222128351, 364885003, 435520334, 815652824, -1, 319838497, -1, 425757766, -1, -1, -1, 977672551, 398319389, -1, 84781521, 772431493, 29830095, -1, -1, -1, 321132968, 11320604, 908744256, 827969051, 546151071, 930088374, 48831052, 773259590, 225287223, -1, -1, 922880297, 553350124, 625040268, 810559065, 316633489, 894499989, 517670845, 87293421, -1, 521352115, 679580398, -1, 717094256, -1, 93976134, -1, 689596023, 66136104, 740032670, 430762910, -1, 734230232, 342552162, 119016340, 56433536, 268138471, 656896371, -1, 593722246, 410411187, 887803037, -1, 391734163, -1, 33623170, 171684407, 167694917, 285326594, 822125946, 318465929, 729528987, 904614376, 916787595, 728930953, 708056130, 948039852, 212623405, -1, 223107308, 33105011, 142126101, 7672132, 483139132, 565312793, 759530661, 549040456, 494806901, -1, 498729985, 990520896, 993439088, 699880482, 352469729, 487015943, -1, -1, 509904293, -1, 948914883, 108920271, 428115524, 380919699, -1, 244673908, 730549119, -1, 161149241, 612601171, -1, -1, 215049745, -1, -1, -1, -1, -1, -1, -1, 958231329, 571768233, 177862505, 10287055, 314050111, 686300880, -1, 94899478, 769023174, -1, 159509549, -1, -1, 874121864, -1, -1, 365439729, 979448867, -1, -1, 116253046, 522018890, 543430943, 1865908, 69832866, 83749299, 962751146, 832834300, 167533678, 526896041, 166527046, 564077097, 19945233, 32004883, -1, 328676235, 718280422, 140091181, 201029828, 957648306, 242607131, 673508988, 185631722, 381929241, 200923792, -1, -1, 271863060, 769871012, -1, 209774757, 141901207, 329095055, 426185971, 19314230, 664090958, 543559637, 662441217, 363931338, 411375537, 821219956, -1, 770479510, -1, -1, -1, 943664322, -1, 85194413, 176960003, 786919819, 88848426, 235573868, 965431029, 907043129, 89434121, 947839913, -1, 871641813, 269479873, 404189289, 160375893, 533147147, -1, 474191732, 924973249, 190500483, -1, 212118598, 223326458, 327063792, 774049208, 848531705, 744317651, 291833587, 717000027, 366572542, 214108692, 10243278, 235352168, 7626950, 498939354, 901414913, -1, -1, -1, 57354594, 651933766, 445785275, 477883910, 129530288, 582302462, 632126838, 645091953, 93514383, -1, 751512463, 301109224, 437622477, -1, 562523619, -1, 418672187, -1, 673887953, -1, 102638054, -1, -1, -1, 935645785, 991978633, 383125188, -1, 208644441, 455809352, 381566212, 743570052, 553116186, 830545471, 330779499, 779752893, 635958149, 237272525, -1, 637182667, 689694391, 520469623, 273556511, 779187614, 77559217, -1, -1, 436369079, 919468009, -1, 195836694, 410078551, -1, -1, 602386903, 453562562, -1, 769038879, -1, 544177569, 596140322, -1, 369901974, -1, 240796826, 929856071, -1, -1, 753663824, 413601801, 153854096, 374781060, -1, -1, 349296114, -1, 861118843, 277213480, 212093756, 706141252, 634911862, -1, -1, 505606741, -1, 753461459, 778758739, -1, 188899174, 577114015, -1, 789507997, 315816965, -1, 488917567, -1, 247269351, 765448141, 324910519, -1, 816059538, 721171924, -1, 263079827, -1, 691187622, -1, 831247297, -1, -1, 592235746, 766074930, 412456344, -1, 95356163, 253434738, -1, 498012037, -1, 44040051, 839337170, 936107768, 677728945, -1, 267430005, -1, -1, 490719431, 195013888, 272189663, -1, 232668011, 49421382, -1, 248631615, 52442254, 968565700, -1, 842312375, 745246894, -1, 555287586, 433399849, 336941313, 105507622, -1, -1, 552432863, 781026942, 202872915, 754356231, -1, 594598863, 448142304, -1, -1, 18338469, -1, 915389860, -1, -1, 29595103, 324290848, 400086012, 805278917, 485959405, -1, -1, 109482921, 800461595, -1, -1, -1, 630615106, 555071350, 220165763, 537295764, 982622369, 292876522, 696585768, 26819707, 805414558, -1, 241344392, 83782803, 338113709, 984501009, 476241541, 245933479, 523874938, 729031335, 361157157, 440489994, 659027497, 976839028, 960455459, 782867548, -1, 131198977, -1, 86925666, 265274346, 872819712, 89952999, 220182034, 239900540, -1, -1, -1, 229861974, -1, -1, 86756452, -1, -1, -1, 892817126, 329148111, 402166393, -1, 765828782, 454855132, 168936416, -1, -1, 383028030, -1, -1, -1, 224331523, 544233442, 933521367, 365747926, 66358914, -1, 500909286, 768406162, 290088435, -1, 768143366, 942068163, -1, -1, 390052519, 502434692, 171124209, 857691442, 197105202, 499764248, -1, 608549766, 760237481, 6453876, 573760655, 770949923, -1, 13345847, 536422792, -1, 589351520, -1, 631511999, 222064300, -1, 520388117, 172438687, -1, 698839739, 565340302, 635800614, 544340543, -1, 642969769, 72491371, 637440297, -1, 595556528, -1, -1, 665275247, 812966976, -1, 878308258, -1, 63804310, 17873710, -1, -1, 498191761, 11836145, 819752722, 738454376, 602573624, 815510453, 969479102, -1, 850426938, 484701434, 472576976, 705854638, 170316309, 97281857, 507388762, 207976139, 533262786, -1, 308257241, 630310899, 395488545, -1, 911275602, 669054743, -1, 63036857, -1, -1, 566397313, 437600868, 804322944, 471134555, -1, 355600451, 389250280, 532728143, -1, -1, -1, -1, 494381316, 414146244, 780155046, 93765229, 340242420, 725440447, 139397114, -1, -1, 34756008, 706022679, -1, 209209451, 684455099, -1, 209874822, -1, 147889351, 513854782, 127279807, 759411958, 974972346, 110927087, 365289219, 622728237, 585186704, 791894281, 89873235, 665332964, -1, 970664790, -1, 444779384, 387132788, -1, 607142426, -1, 980566709, 162057494, -1, 78739608, 654678277, 353110466, -1, -1, 410518308, 374359689, -1, 558256715, -1, -1, 663042608, -1, 997269334, -1, 629510502, 124528685, -1, 474505381, -1, -1, 568999772, 912056229, 535271624, -1, 669091312, 877517148, 104987929, 87461788, 275420166, 19086011, 156373761, 835131934, 831243861, 652656981, 123460124, 227092646, 847384923, -1, 9866199, 962642198, -1, 898900534, 712291594, 267190182, 687541391, 48612456, 308621316, -1, 874726080, 943302433, 93440026, 269754923, -1, -1, 91897044, -1, 472369872, 996657637, -1, 652471265, 393314675, 197347187, -1, 26931867, 895164586, -1, 651998511, -1, 655187098, -1, -1, -1, 161941748, 399914124, 405878466, 728929569, 496053308, -1, 496196161, 857845466, 636628849, -1, 266371654, 186047677, 858186157, 767619861, 926062567, 428132826, -1, 528065731, -1, 15409167, 257943787, 617551450, 870857520, 36413167, 139855796, -1, 70640707, -1, 915290013, -1, 176721226, 626637110, 127638234, 29260240, -1, 905371497, 24569986, 178464793, -1, -1, 710908763, 26348624, 784596790, -1, -1, -1, 840593890, 398469595, 883648431, -1, 860663365, 1165443, 98479313, 675174824, 397480348, -1, 71822596, -1, 489053873, -1, 379738941, 108677558, -1, -1, 17002615, 831674286, -1, -1, 279461982, 998408411, 774502570, -1, 893607932, 65080823, -1, 163866954, -1, 19981737, 416743296, 194215675, 122909798, 478448305, 717889049, 526261582, 127154664, 438777398, 359940456, -1, 910753099, -1, 581993442, 276928708, 807629922, -1, -1, -1, -1, -1, -1, 270263174, -1, -1, 986286645, -1, -1, 592924957, 695907093, 596874487, 121296760, 451903182, -1, -1, -1, 818949098, 421730078, 864284308, -1, 561127798, 612159094, 764409793, -1, 801633037, 135587801, 791589276, 701611567, 547556985, 909993384, 713580753, -1, 543389097, 966895619, 891485039, -1, 794227237, -1, 432672627, -1, 201428717, 869988717, 847363908, 586362023, 314205494, 588323024, 462177744, 669609452, 929799977, 390552478, -1, 984751521, 484192684, 998168746, -1, 951581843, 163950817, 597655713, 286785543, -1, 716814617, 213097186, 236733190, 393315503, 283087448, 863691741, 13768029, 792384354, -1, 991412471, 234223520, 348940542, 239717011, 818593652, -1, -1, 5695581, 584943112, -1, 246072530, 111780362, 597541527, 758726853, 248777227, 296372836, 943453377, 865969914, 848185435, 730332050, 949855934, 849633150, -1, -1, 178576570, 580952275, 426361625, -1, 621492192, -1, 822859681, 93292626, 525434760, 697609409, 861968047, 411852188, 419341243, 81032438, 214514305, -1, -1, 675760013, -1, 68685008, 858603600, -1, 936051069, 886278398, 6238896, 531892929, -1, 81818231, 972726287, 966017297, -1, 252436211, -1, 527180635, 696676738, -1, 949502088, -1, 501793971, 508556641, 144717404, 45781564, 54379575, 141417807, 473350364, 285343388, 80117662, -1, -1, 937448826, 527052977, 304652105, 679331513, 81058301, -1, 866000260, -1, 948868386, 331641377, -1, 323796468, 610320545, 433979216, 203941326, 34396444, 282684306, 853294153, 11521547, 617964908, 44620667, 364054933, 182482877, 987470593, 4266914, 659387675, 607730846, 118933425, -1, -1, 438410278, 47115188, -1, -1, 102943518, 254132383, 343962284, 426613373, 21782075, -1, 186923987, 770305993, -1, 470115757, 914229857, 900011773, 700640248, 706697219, -1, 691813428, 317374610, 174036199, -1, 972223311, 8197149, 779280915, 155051339, 956528327, 996621130, -1, 164521505, -1, 735667962, -1, -1, 113315267, 973903555, 140275706, 232355190, -1, -1, 441807981, 229927280, 499456794, 175731118, -1, 171434219, 484611813, 50685925, 968133286, 343153466, 632779074, 104170376, -1, 159455691, 129854629, 713665994, -1, 362600332, 802198067, -1, 901124304, -1, 601042969, 730212492, 282591301, -1, 771846461, 387730401, -1, 771430147, 575463992, 984682670, -1, 456591668, -1, 560500667, 972234715, 450383816, 180330194, -1, 739005220, 30434976, 948417366, 723640685, 985687452, -1, 982046359, -1, 836707566, 719287821, 587742505, 943977916, 493742281, 660065843, 5575539, 331057415, 57996060, 30768574, -1, 877145733, 846195062, 230582330, 252612333, 761940057, -1, 607502391, 35543049, 815696933, 601067376, 44374179, 759148719, -1, -1, 756518312, -1, -1, -1, 284776568, 307873660, -1, -1, -1, 610089270, -1, -1, -1, 488913727, 939141078, 289289847, 172259987, -1, 509793787, 786453141, -1, -1, 987535408, 56346989, 823221559, -1, 743508522, 961618761, -1, -1, 21752719, 999018228, 473273777, -1, 39285159, 741734834, 198096226, 183402306, 205482700, 593778052, 588522235, -1, 10470480, -1, 276485585, 470088237, 266305032, 245963342, -1, 899953027, -1, 328500704, 716601365, -1, -1, 556182224, 533423778, 717457973, 383503360, 941588964, -1, -1, 730217698, 783445059, 253298054, 751125224, -1, -1, 557196195, 621667328, 379427599, -1, 791955793, -1, 767606458, 819220125, -1, 739109992, 7044563, -1, 111205679, -1, -1, 895929648, 179906368, 413478791, -1, -1, 872777569, -1, -1, -1, -1, -1, 67064885, 230961986, 268475367, 819140724, 180823946, 468916229, -1, 663587333, 972454822, -1, 66232371, 379785634, 585610123, 233457324, 369712845, 445795506, -1, -1, 137317029, -1, 212259000, 691693250, -1, 74648910, 313424240, 598635797, 867958308, 931748562, 638174086, 363779574, -1, -1, 576832034, 790627754, 163449226, 501580886, -1, -1, 397799427, 171913627, 34795484, 109381712, 753453229, -1, 421847874, 9402727, 669572652, 812020174, 182214697, 736298061, 750981916, -1, 93775703, 787022624, 472456458, -1, -1, 560985060, -1, -1, 613741678, -1, 671804770, 21523146, 963814190, 875962979, -1, 782488929, 91584694, 991391888, -1, -1, -1, 870053037, 373501812, 825317370, -1, -1, -1, -1, 322116947, 505807018, 746391364, -1, 576681881, 2251309, -1, 705925248, 57275518, -1, 822118862, 486634669, 933386083, 113554943, 454431518, 168987635, 956221655, 215470310, 75890158, -1, 429724573, 809541639, -1, -1, -1, -1, 927381449, 818293439, 997255894, -1, -1, -1, -1, -1, 49829444, 302234223, 931137721, 476490970, -1, 119139285, -1, 458588555, 743060457, 273655292, -1, 685244186, 819812548, -1, -1, 225582190, 750074705, -1, -1, 943459749, 350694600, 358529687, 350675432, 390144670, 327225073, 55606518, 182429423, 624422017, 356797874, -1, -1, 688824860, -1, 12635989, 694190529, 49027464, -1, 337499634, -1, 571538041, 85658754, -1, 596481113, 354695190, 414709615, 456042981, 872618295, 909530040, -1, -1, -1, 249125284, 940894252, -1, 708883161, 75402180, 399152729, 899617969, -1, -1, 570922789, 903966708, 345797098, -1, -1, -1, 860169002, 715851260, 946270387, 898497596, 705513148, -1, 867741956, 902610070, 500800476, 706765709, -1, -1, 793433663, 3796130, 675119956, 941825674, 215253254, 824961, 675445922, 82158812, -1, 706648372, 506533052, 14259595, 606220511, -1, -1, -1, -1, 827524040, 795693044, -1, -1, 575856371, 331168848, 146892833, 219070299, 911167505, 218547042, -1, 896291430, 478930101, 580960190, 419504857, 998254168, 557534048, -1, 271178357, 843837533, 252154665, 549449596, -1, 869964526, 388146185, 632752039, -1, -1, 517029543, 3680897, 446952337, 646386810, 920245298, -1, -1, -1, 950994745, -1, -1, -1, 434505353, 186801161, -1, 363899051, -1, 174678291, 426937643, 715716690, 712984839, 518743681, -1, 155693107, -1, -1, -1, 198075428, 739787386, 388740916, 517905558, 708819351, 485771234, 187930611, 84333685, 484019785, -1, -1, 866036371, 478258583, 994502752, 749241153, 359882171, 774958950, 205278305, 241103658, 70035291, -1, -1, 68831592, 942220512, -1, -1, 347102073, 443312625, 810857460, 298788103, -1, 401030214, -1, 384316216, 10298123, 88471077, 499559713, 797821339, -1, 825744917, -1, 834950604, 453687078, 757631231, 327028413, 294335107, 905044796, 603705597, 710597339, -1, 685101555, 448662725, -1, -1, 179168541, 222336722, 839029448, 268753547, 586858661, 667301170, 419008941, -1, 26596319, 6212034, -1, -1, -1, 132674575, -1, 528907829, 644574118, 147391754, 943362536, -1, -1, 865199073, 135589768, 317021314, 326862886, 725291621, -1, 310808129, 959367291, 846318099, -1, 279942469, 778730056, -1, 582205885, 66572822, 241185129, 614073048, 767293947, 436028767, 509755386, 526338077, 822354448, -1, 159105572, -1, -1, 484246300, -1, -1, 814203662, 227244, -1, 96480264, 493517259, -1, 975191849, 806758432, 587106308, 399556808, 655156621, 748065795, -1, 864108844, 129615040, -1, -1, -1, 811133230, -1, 385429102, 344792554, -1, 817908309, 953453830, -1, 477944089, -1, 788059334, 20113808, -1, 343885461, 53183325, -1, 632293089, 987357034, 586851285, 321717633, 659200760, 408837080, 980737827, 886236787, 744561534, 401478848, -1, -1, 982270079, 37922036, 752335873, -1, -1, 187863690, 189149832, 926177671, -1, 201730988, 105110202, -1, 249378570, 656890314, 284574263, 553353925, -1, 158522345, 672853425, -1, 326528074, -1, -1, 54234820, -1, -1, -1, 869363692, 86368639, -1, -1, 929737761, 320666451, 667737141, 303812377, -1, 454854662, 161058915, 210567996, 197323011, 629895759, 57100607, 933040783, -1, 655142746, 325824634, 408835563, 961978525, -1, 829380018, 425084262, 369949749, 654685885, 145203242, 262598582, 12186226, 825448219, -1, -1, 927446457, 906189960, -1, 102023173, -1, 900118728, -1, -1, 721445384, 700451191, 899353173, -1, 841602184, 846857980, 55592211, -1, -1, 303812041, -1, 194055572, 787617858, 613014152, -1, 877314704, -1, 428576461, -1, 19948185, 400052048, 868320868, -1, 195923193, -1, 728510028, -1, 614357141, -1, 707025247, -1, -1, 668841896, 868500787, -1, 298781347, 290085639, -1, 943483590, -1, 90457320, 50755222, -1, 843544597, -1, 977986568, 3574030, 615294446, -1, 972099978, 434745856, -1, 762433713, 600178211, 465403863, -1, 847666175, 984412080, 594294161, -1, 750761505, -1, 474831281, -1, -1, -1, 956525365, -1, 77490841, -1, 290888866, 934603375, -1, 863161934, 360160336, 151482550, 99919941, 534072607, 89952823, 899066621, 703987549, 267775415, -1, 952708981, -1, -1, 650508668, 645222656, 448443534, 629216295, 270095402, 645146781, 816471005, 690590416, 179833645, -1, 708707770, -1, 276475477, 358002211, 999812301, 662802782, 219229960, 150286470, -1, -1, 963222472, 281132979, -1, 946927255, 785345218, 779712601, -1, 782444951, -1, -1, -1, 431378349, 260123348, 321857551, 122712837, 482614605, 55706949, 849007973, 816473482, -1, -1, 209990034, -1, -1, 282186728, 140874875, 544052919, 716646737, 505772140, 582342522, 858483933, 921187764, 481169140, 105246661, 198619839, 473816610, 547728425, 27722567, 52425973, -1, 404671133, 173629915, 410992808, -1, -1, 164662162, -1, -1, 178623411, 150730141, 856411458, 83829555, 170141470, -1, 577025699, 52329559, -1, 985930073, 648309260, -1, 343610758, 646203030, -1, -1, -1, 875726018, -1, 293872790, -1, -1, 567545468, 48009937, -1, 667682772, 5174755, 791975231, 236855497, 207504678, 468517963, 925358864, 12119925, 230282982, 733608513, 888802144, 260034760, -1, 111172631, 991534058, 525972210, 532342981, 185891767, -1, -1, -1, 667207996, -1, 147303219, 498019640, 694109240, 390839125, 705064993, -1, 689255677, 532152719, -1, 536194621, 779691377, -1, -1, -1, 603049307, 676171507, 213339600, 573127823, 986477849, 169246231, 384661924, 608615189, 268430231, 155606963, -1, 787253656, 342505083, 213544975, 450123929, 877341137, 459217104, 636759655, 384315820, 398606876, 419353207, 91521365, 28287460, -1, -1, 746854055, 15028489, 454299287, 475032239, 457548371, 692926465, -1, -1, -1, 974859214, -1, -1, 82564084, 291760001, 400673792, -1, 926457622, 117243208, -1, 58727767, -1, -1, -1, 659469549, 333915382, 852174652, 605183804, 599873396, 345618167, 730157913, 675333468, 571623284, 996400286, 351327602, -1, -1, -1, -1, -1, -1, 190855627, -1, -1, 237274798, 470173095, -1, 93762238, 16422966, 194556749, 747385196, 456600316, 534013789, 962221115, 461874863, 879259395, 275130967, 864076738, -1, 920877005, 148338171, 668744482, 574013487, -1, 112252553, 327405628, 772631758, 734325537, 782666888, 196533193, -1, 186396840, -1, 104810381, 677681551, 899574696, 845334583, -1, 526617207, -1, 622385471, -1, 922045574, 721645223, -1, 357712269, 884737976, 302433675, 661039752, 67048018, -1, 87838669, 48831857, 592183323, -1, 296755907, 297967783, 386844583, -1, 691149661, 643497475, 101981767, 59667753, -1, -1, 871985410, 254442913, -1, -1, 385287686, 863496907, 316337325, 986877580, 116729615, 107359391, -1, 723168468, -1, 443398844, 341314541, 934664041, -1, 20290078, 685567578, -1, 87270525, 962902564, 497542774, 754705669, 51511229, 219592717, -1, -1, 377393586, 757763376, 582763586, -1, 975428445, -1, 803077942, 341764299, 155997533, 614483303, 734354651, -1, 875882700, 199862303, 657790428, -1, 585329084, 201487912, 974216165, 31433967, 51989574, -1, 873000222, 348958833, 850927162, 818345800, 181530769, -1, 920547641, -1, 126417918, 684234475, 84147339, 347921497, -1, -1, -1, 89321920, 592082615, 982040408, -1, 263772749, 796224862, 895537959, 991636148, 641265719, 119474506, 783463909, 806466133, 202796708, 557137725, -1, -1, 986787664, 653892683, 520151029, 302111394, 351728934, 607855978, 353385776, 444394391, 293573902, -1, 750299999, 749336266, 611865359, 859854796, -1, 757582703, -1, -1, 693480278, 800368278, 651545615, 152880443, 593954922, -1, 525829248, 557643749, -1, 701775724, 636324911, 966224294, 955383799, 404518699, 662893625, -1, 963156504, 955478729, 445574103, 515752330, 760280516, 998909745, -1, -1, 343351663, 196639494, 237979921, 445803828, 943451861, -1, -1, 350793857, 181965102, 448153858, 179204385, 837373161, 409617676, 74281943, 168829659, 778791797, 658978767, 311393182, 233988419, -1, -1, 390451082, 494800763, 686998642, 225348267, 698292273, 958966203, 257716151, 503790697, 485763862, 423107521, 545156339, 377403794, 421252195, -1, 133106467, 126442183, 301689689, 976575324, 38949300, 474111350, 696154783, 690470198, 191774853, 420369741, 889528149, 506792138, 145587378, 325146236, -1, 797150628, -1, -1, 70290626, 115633693, -1, 785802716, 970565184, -1, 929797875, 479128505, -1, 730354402, 74714551, -1, 472315991, 648998846, 566732730, -1, 910931915, 717768579, 944692694, 305124658, -1, 976175275, 479428457, 17229998, 22587454, -1, 39627846, 796254345, 2098375, 387691783, 854438942, 545933989, 165642242, -1, -1, 15868166, 215035071, -1, 73822224, -1, 928192175, 987642691, 806489424, -1, 921502779, 718044293, 411129214, -1, 332427705, -1, -1, 58627340, -1, 51831366, -1, 59299185, -1, -1, 670747217, -1, 751127357, -1, 416673999, 443873383, 170302423, 897651540, -1, 666999134, 80683290, -1, 369953688, 447376808, 757776844, 986529608, 681118319, 459009291, 619214121, 961443042, 352348136, -1, 164991552, 976615845, 203357597, 825945508, 531057043, 528630033, 706266452, -1, 497215916, 463217491, 594661074, -1, 677333035, 993796002, 792859157, 967201645, 754981536, 580920144, 697813363, -1, 901598876, 702059150, 123428933, 836897645, -1, -1, 638225329, -1, 333087601, 647138011, 169111289, 619389442, 225508202, 131115737, 478914647, -1, -1, 581096259, 205445332, 875474053, 936300953, 156949892, -1, 885028654, 136275060, -1, 567327733, 126647098, 220314160, -1, -1, 489531057, 761881815, 122465455, -1, 91454611, 575287008, 7605661, 478631255, 353843132, 594490103, 919684138, 454809255, 556539992, 733437292, 757660739, 877735161, 256169037, 506427272, 478329027, 624150617, 182537410, 178214841, -1, -1, 737618848, 470223268, 769796315, -1, -1, 953363665, 55337974, -1, -1, -1, 971708889, 279174594, 612693456, 171809240, 332547004, -1, 554633436, -1, 93571352, -1, -1, 674993716, -1, -1, -1, 580911009, 582913898, 704713524, -1, 450132476, 739576486, -1, 838067988, 851810572, -1, 881166934, 252943003, 763794356, 956206881, 288335165, 836441784, 367170772, 914457764, 701950221, -1, -1, 688446992, -1, -1, -1, 126913347, 160920255, 465993118, -1, -1, 989378150, 855360003, 916745962, 858172582, -1, 927220881, -1, 676539560, 817070902, -1, -1, 335776582, 30810369, 924281722, 813510850, 378079462, -1, 144865229, -1, -1, -1, 719279360, 797746640, -1, 520148068, 89492597, -1, -1, 54711529, 906443050, -1, -1, -1, 231797133, 662762666, 474691194, 635059699, -1, 684708424, -1, -1, -1, 537492455, 64626207, 256406186, 778052186, 901622006, 842162757, 486836423, -1, 912604177, 88010103, 781504425, 50714628, 109699641, 720788126, 640736522, 786003389, 937746918, 195531475, 491269667, -1, 966988496, 318141365, -1, 672331304, -1, -1, -1, 490021643, 589481978, -1, -1, 301530522, 952453430, 459552432, -1, -1, 351441863, 391922551, 490889245, 924136571, 959894342, -1, -1, 839942865, -1, 613699413, -1, 879696657, -1, 365782381, -1, 826485913, 122185390, 47021885, 928616464, 656058047, 996766446, 360071955, -1, 653966069, 521684301, -1, 684944018, 789450112, -1, -1, 328187984, 415290167, 923148055, 388281677, 158574347, 289387694, 3575220, 993336421, 697755391, 52141026, 667577035, 989340238, 925879140, 300112474, 315551382, -1, 711418145, 341971521, 102382475, -1, -1, -1, 694551868, -1, 92832301, -1, 23269526, 793274547, 863050666, -1, -1, 40815393, -1, -1, -1, 774885879, 16296837, 334164944, -1, -1, -1, 217598584, 423046667, 151522893, 635963075, 604714856, -1, 789190413, 197228386, 377234002, -1, -1, -1, 935420188, -1, 429411766, 215971702, -1, -1, 913635840, 645836332, -1, 857011358, 776238964, 828261288, 335038488, 419728011, -1, 829300294, 232500693, 69044399, 975625786, 734169763, 701691467, -1, -1, 234128038, 856748410, 152823298, 510457284, 208867563, 69165212, -1, 644230452, 779104073, -1, 930840106, -1, 208571602, 63820606, -1, 432025730, 829715500, -1, 889675257, -1, 580030485, -1, 995882199, -1, 735640290, 759477445, 996522106, 432242498, 745024757, 265813978, 559355838, -1, -1, 13278923, 812043966, 17634513, 797588701, 326138851, -1, 291830666, 777787728, -1, 333581583, 722691202, 680575620, -1, -1, 924067990, 664174499, -1, 977225762, 940177937, 232179603, 23427219, 787083212, 750818781, 589770335, 505505003, 278055278, 658311858, 5131373, 226663366, 942158678, 422352311, 527013485, -1, 346263528, 809181654, 230722933, -1, 400376175, -1, -1, 354054783, 810211322, 966061299, 227131901, 429873076, 769539353, 187115496, 312456960, -1, 205648442, 101632580, 921296657, -1, 804677188, 788158332, -1, 936670979, 45769676, 327210801, 944246269, 463129289, -1, 858901577, 789106314, 662841353, 706278073, -1, 456618642, 36460789, 657736636, -1, -1, 895744876, 332148365, 683905212, 438898423, 564595212, -1, 332451920, 554671081, 131116140, 150645519, 75858052, 113628223, 394607966, 344261888, 369672637, 274610560, 478772315, -1, 606733276, 133842747, 249346557, -1, -1, 916830562, 809257485, -1, -1, 319504103, 912205581, 616541077, 116850444, 716000651, 459376705, 95830073, -1, -1, 642627683, -1, 452845620, 367416859, 501365248, 215929413, 384382346, 119767008, 634776787, 749174744, -1, 391545992, -1, -1, -1, 717891875, -1, -1, -1, 887553438, 233073551, 701010433, -1, 857513832, 935124155, 990985807, -1, 36660997, -1, -1, 825795721, 439995816, 81784713, 950635379, 105459439, 368705976, 116476555, 481152908, 631970601, 284901427, 472033454, 363785833, 502685841, -1, 153852776, -1, -1, 73976901, 107641881, 962468322, 930718044, -1, 945581166, 662650010, -1, 233040701, 65543087, 908540486, 366622205, 49227101, 27251968, 377298639, -1, 719854090, 507632842, -1, 554412741, -1, 978662997, 177224565, 615966676, -1, -1, 343891365, 956086899, 792082320, 550346526, 760439061, 47746649, 936178702, -1, 885417722, 541003456, -1, -1, 550895046, -1, -1, -1, -1, 998420893, 298871335, -1, -1, -1, 987770336, 967806118, 435615453, 279881499, -1, 651482322, 4026986, 138350936, 742066340, 636141196, 548518506, 579149945, 273112013, -1, 115524101, 827932759, 307363693, 987323351, 789241333, -1, -1, 301641152, -1, -1, -1, -1, 578210074, -1, 466429756, 368895193, 525193831, 203217666, 358245132, 289005280, -1, -1, 784537156, 962506666, -1, 353885990, 282555416, 204024156, 992720556, 611796786, -1, -1, 336799502, -1, 733212318, 115949264, -1, -1, 757704117, 967090039, 950867654, 994590076, 6324317, 1276771, 585491714, -1, -1, -1, -1, -1, 86118465, 54477441, 493208401, 789754801, 761239935, -1, -1, -1, 30158308, 191977271, -1, -1, 859811394, 74725925, -1, 914146770, 213807085, 306875471, -1, 346604911, 355977693, 882433090, 852951804, 52808215, 143424824, -1, -1, -1, -1, 858943181, 139315366, -1, -1, -1, -1, 199734752, -1, 250123661, 64083700, 695960517, -1, 195324516, 6175923, 989218074, -1, 599259344, 77406122, 811683471, -1, 348780725, 449948231, -1, 722778673, 75850843, 353060010, 551529045, 201102151, 647050707, -1, 941036451, 691278528, -1, 711589335, 125967446, 634855315, -1, 47933983, 382335955, 139035331, -1, -1, -1, 563859189, -1, 952167390, 33889464, 621469800, 342748969, 788494737, 758015137, 221341493, 470594333, -1, 574301816, 442840782, -1, 120142373, 567912808, 276364415, 925792927, 386956688, 959762764, 70578067, 913363138, -1, -1, 502342643, 19971534, 683534945, 781806351, 949155528, 692771795, 682239827, -1, 534742980, 213985365, -1, 636490784, 841795213, 30852164, 402174037, 99767041, 32625843, 36768287, -1, 550107901, -1, -1, 637734016, -1, -1, 455931066, -1, 223018016, 597910650, -1, -1, -1, 131352197, 600381681, 987962603, 180429121, 242534391, 916650454, -1, 368245653, 251698561, -1, 802899485, 27655219, -1, -1, 546573712, 25563019, 171717088, 257358783, 614845399, 321666419, 896053128, 182554705, 301558419, -1, 327863305, 702315301, 419219433, 290871232, 456918762, 148926257, 666515255, -1, -1, -1, -1, 690647817, -1, 83938838, 430608295, -1, 473117892, 980638959, 589898508, 839917990, 663002235, 9714377, 251831869, 661964172, -1, 732479549, 273958611, 983342147, 280405183, 113906740, -1, 673464443, 584434253, 120288092, -1, 255950021, 933432691, -1, -1, 918977506, 394783284, 909312425, 391983900, 753014004, -1, -1, -1, -1, 247776958, -1, -1, 710460580, 549733638, -1, 516013236, 414590022, 184110744, 567777936, 999428938, -1, 317213621, -1, 274272275, 796226800, 855354194, 275139452, 813353900, 398933345, 632679732, -1, 174537433, -1, -1, 712771120, 341317872, -1, 989350789, 372662939, 650921733, -1, 744106812, 959002983, 372205140, 241510534, 558791026, -1, -1, 478333838, 430766218, -1, 154492142, -1, -1, 683085518, -1, -1, 312384287, 971065666, 645647470, -1, -1, 628630716, -1, -1, 808386380, -1, -1, -1, 891731311, 684036544, 997214816, -1, -1, 734276415, 127500407, 186124397, 1389141, -1, 13581025, -1, 801123653, 724986021, 227881645, -1, 317012940, 144953642, 841149609, -1, -1, -1, 194316533, 52673361, 434782038, 747258743, 619075167, 751447396, 309353383, 446179177, 940829860, -1, 410797466, -1, 36231535, 21257888, 365593122, 407830956, 985393713, 739315345, 775464045, 244765445, 945194042, 482408226, 356918549, 851263062, 614924227, 816967271, 597104923, -1, 797321078, 128201916, 798985487, 113194897, -1, -1, 298836148, -1, -1, 14206378, 733900013, -1, -1, -1, 666328362, 315051342, 665116377, 821102739, 864475487, 846070637, 33502488, 496303265, 464751142, 508609766, -1, 589944438, -1, 368384471, 992860473, 147622767, 767532032, 312099447, 794536871, 997686827, 998033888, 431448053, 441178304, 185526340, 301438581, 511377169, 67172450, 543886752, 929770925, 36177871, 996425775, 151059460, 702069354, 211806718, -1, 456738373, -1, -1, -1, -1, 139658793, 157181711, 952270386, 233902172, 116332978, 526486198, -1, 272831619, 57184667, 331776973, 472549469, 961929369, 672960729, 274067193, -1, 7332089, 667226390, 760755774, 524959212, 936071892, 393239721, 720353998, 173299575, -1, -1, 750467413, -1, 447687404, 121391943, -1, 411252550, -1, -1, -1, 382808926, 141066828, -1, 563516580, 687852458, 718759017, 701370233, 853804353, -1, 172576995, -1, -1, 992265777, 996528937, 742970801, -1, 250831882, -1, -1, 814810095, -1, 427805758, 895381775, -1, 948559689, 992105914, 211911679, -1, 22837584, -1, -1, 509988500, 388214879, 467647596, 849577431, 270575543, 180893560, 65191538, 872457578, 623335777, -1, -1, 252239903, -1, -1, 62325429, 924080005, 666035674, 984976777, 182355188, 162621233, 229071311, 604450370, 911329477, -1, 535616998, 821663734, 933922442, 880226647, 981523105, 719522210, 404206343, 930807182, 304730304, 190826436, 418942263, -1, 647965102, -1, -1, -1, 707216829, -1, -1, -1, 917380939, 129949712, 221654499, -1, -1, -1, 692281079, 810415674, -1, 31518756, 25859285, -1, 80837076, 201229759, -1, -1, 583707720, 169441100, 859475513, 104486823, 49283906, 321635870, 632937165, 52966208, -1, 329117408, 471518515, 168257362, 770215630, -1, 488115434, 451411524, 745453452, 899970592, -1, 408131799, 771098833, 386987594, 596818203, 826840905, 248661922, -1, -1, -1, -1, 493839376, -1, 992023255, 457520196, 506741543, 368510495, -1, 966301111, -1, 108618771, 591338837, -1, -1, -1, 721814263, 645522276, 33731777, 79175287, -1, 953615029, 704518308, 287023986, 410349355, 661774883, 859607836, 408458078, 678380012, 164012383, 380522827, 173308719, 170222620, -1, -1, 240644392, -1, -1, 338956783, 63967485, -1, 178055346, 509417625, 541321311, 1057376, 996833222, 778344610, 470260629, 602970042, -1, -1, 962912704, 661155863, 794475618, -1, -1, 674619556, 865001006, -1, 77051004, -1, -1, 871508747, 26566461, -1, 672210642, 333970167, -1, -1, -1, 900017388, 552640358, 204575429, -1, 412737104, -1, 930855857, 416066222, 547499531, 50440436, 845152454, 770018285, 721315872, 201569380, 773370572, 394379027, -1, -1, -1, 713806843, 190543423, 262221715, 828929737, -1, 924965158, 818679313, -1, 57107176, 382087312, -1, -1, 836685972, 979347943, 579703151, 730662713, 108179694, 771251776, 243759348, -1, 914712777, -1, 597839576, 566123623, 198356441, 728557650, 161414517, -1, 209522896, 509291458, -1, 225359410, 659390017, 115926214, 932205819, 702239082, 891364171, -1, 162952801, -1, 576224635, 382697005, 312964363, 865754748, 913540364, 292314857, 919070394, 513108483, 922228095, 162164754, 161571965, 745630596, 279548228, 794125098, 472705553, 779668001, 719575478, 807000487, 118233504, 618265439, 219668765, 580122070, 669806618, 652526400, 964647418, 9952489, 945630772, 249508667, 107595607, 90585991, 152789485, 667027323, -1, 300932198, 927323309, 255176387, -1, 608545005, 148160137, 774299297, 150074531, 401935908, 536436337, 172289171, 368887325, 234199260, 141806121, 558911858, 388240858, 925430199, -1, 369484341, 264640890, 947102509, 87241267, -1, -1, 488125455, -1, 941930986, 3991186, 647477027, 888240933, 160600042, -1, 546403509, 507433393, -1, -1, 899707113, 760614710, 1226454, -1, 522569328, 80264451, 65285359, 289342411, -1, 458787641, 825771659, 90255228, -1, 973434007, 28884597, -1, -1, -1, 594441396, -1, -1, 372850327, 183898844, 497355494, -1, -1, 852493423, 957239921, 552334861, 354449907, -1, -1, 418861348, 219590297, -1, -1, 328448449, -1, 627627805, 865825917, 850148269, 770597832, -1, -1, -1, 73083393, -1, 703626222, 595849804, -1, 390563998, 267759286, 101605948, 667659631, 302449978, 323705281, 228539328, 69832568, 805565988, 342640276, 997159370, 372876544, 269393572, 983433146, -1, -1, 55302188, 28379238, -1, -1, 889384238, 688412358, 266090870, -1, 563144218, 181783052, 760864918, -1, 142934601, 55917504, 335704396, 430041002, 107886508, -1, 270638017, 747549786, -1, 388035034, 333444206, 141734440, 340675250, 335041619, 28493098, 42735268, -1, 442564174, -1, -1, -1, -1, 458014152, 452474187, 292014868, -1, -1, 559530246, 710842392, 474234259, 136638276, 783095426, 358488303, 79643212, 761411853, 639141254, 740412846, 948050217, 841863265, 228209614, 146560740, -1, -1, 187329557, -1, 957835343, -1, -1, 751334302, 102391567, 479605051, 823195551, 528545102, 217322861, 778139934, 462710531, 498867800, -1, 581260361, -1, 762162909, 994810023, -1, -1, 541170522, -1, -1, 583092793, -1, 999617057, 564101825, 369198639, 424456178, 350682968, 962607530, 44728865, -1, 7367948, -1, -1, -1, 474901571, 165236173, -1, -1, -1, 563105067, 804591058, 546723666, 319879199, -1, 130002712, 239842531, 409336266, 42337788, 575288849, -1, 560728615, -1, 405831984, 269004851, 875677286, -1, -1, -1, 144992771, 152868415, -1, 768952005, 622540156, -1, 480606214, -1, -1, 583879791, 687787766, 213590085, 187664799, -1, -1, 536285693, 675874134, 958465332, 359008324, -1, 993042376, -1, -1, 526901196, 468251299, 837291292, 80296911, 562536253, 161004526, 251940336, 261175059, 332216703, 613126132, 263095958, 538270478, -1, 852261821, 293629611, 788204588, 303606872, 290446734, -1, -1, -1, 898449986, 176002039, -1, 825072566, 715416014, 97638643, 911608383, 910903325, 839782348, 320018251, -1, 463981038, 273739798, 709072523, 125664672, -1, 918860315, -1, 731956681, 588425130, 867594909, -1, 559930950, 360179388, -1, 375193631, 421229842, -1, 423639912, 284356302, 895396508, 657721837, -1, 589203175, -1, 854782931, -1, 839403817, 551185151, 47520199, -1, 707718367, 393895530, 326969450, 641588914, 678440797, 184158345, 199662838, 96951085, -1, 504693139, -1, 861952867, 74410154, 873522400, 756428947, -1, 570145919, 479783002, 969540370, -1, 463903541, 656829615, -1, 612736218, 841605456, 779257485, 210093852, 811333262, -1, -1, 356220865, 337260769, 988996845, 615098055, 648053685, 977733194, 267314182, 647149632, 277376246, 870144085, -1, 883226963, 676672374, 853594289, 821491964, 899864753, 475914751, 570033608, 397557510, -1, 629354617, 309050719, 148698452, 1644534, -1, 836215776, -1, 676537678, 971488461, -1, 582826122, 812673621, 754325376, 602351951, 447759047, -1, 388773409, 22441698, 561137171, 728689547, -1, -1, 787314580, -1, 773750432, 350007132, 720689115, -1, 416805704, -1, 691226983, 58670338, -1, 640156732, -1, 664437784, 240790605, 411073968, -1, 575696904, 731932006, -1, 188408346, 144994098, 627868710, -1, 982831285, 379655861, 987244500, 929213439, 167383479, -1, 206559342, 549563021, 751097803, -1, 982001304, -1, -1, 6461040, 443783145, 437603309, 286017704, -1, -1, 811474962, 12863226, 873775460, 849651752, 312780745, 937668825, 875494690, -1, 403979107, 181450763, 860342424, -1, 811554548, 4015432, 496748772, 509631247, 518985528, 901773373, -1, 921125307, -1, 881207339, 829709679, 127551183, -1, -1, 971826703, 71595928, 82327426, -1, 626043078, 780928572, 859322218, 929883737, 779044465, 679284471, -1, 658535975, -1, 300324301, 307270557, 497104887, -1, -1, 685001673, 568617712, -1, 300889350, -1, 53957160, 588313352, 336569156, 22602163, 736785814, 63021008, 721941873, 7839285, 725925639, 255032345, -1, -1, 902523052, 310452101, 275327987, -1, 249304169, 988367304, 924121661, 796741478, -1, -1, -1, 22422082, 844210313, -1, -1, 315307693, -1, 238890813, 676109805, 158642351, -1, -1, 196245859, 314396904, -1, -1, 686202947, -1, 845170680, -1, -1, 201252925, 709348252, 645248826, -1, 786260668, 273155279, 422172193, -1, 347720060, 446902442, 765320274, -1, 810738523, 172807713, -1, -1, 920274636, 146127201, 182754453, -1, -1, 250262702, 521413156, 502740886, 559660330, 626795049, -1, 494035975, 917231949, 379945481, -1, 662058615, -1, 591074515, -1, 282627983, -1, 874643297, 209410946, -1, 564322876, 722175205, 508378608, 979685735, -1, 303355218, 570435160, 555540013, 111161299, 393672336, 802300380, 910886727, 564854752, 994179372, 541329042, 70410756, -1, 177884424, 738804231, 394296994, 37730914, -1, 160509582, 698264744, 939690045, 448893808, -1, 807009710, -1, -1, -1, 416776844, -1, 484542073, 161958059, 674141103, 245886403, 370445734, 940656931, 397883769, 420181158, 83869292, -1, 985471357, 221635146, 370859083, 608583714, 367697635, 266613368, -1, 280148461, 13107872, 762031083, 294333169, 312755898, -1, 302607483, -1, 230548676, -1, -1, 676121902, -1, 271977859, -1, -1, 324128198, -1, 640097001, -1, -1, 525445932, 821813983, 958775839, -1, 796529021, -1, 747527329, 605642060, 957857179, 669155396, -1, 654476892, 150148457, 916075652, -1, 653146660, 544252886, 860541959, 744837897, -1, 991059353, -1, 636630203, 267031953, -1, 784941974, 81997268, 679906164, -1, 271936206, 388200878, -1, -1, 335888126, 530650948, 996535792, 533551632, 10796702, 870622607, 638598595, 841344293, -1, 884867388, -1, 27239916, 106377104, -1, 335575601, 370746877, 220030402, 227931814, 597213150, -1, 426572399, 649837385, 520649695, -1, 280863547, 6844007, -1, 199650511, 949252436, -1, -1, 463531421, 586465782, 219457535, 460096201, 205503725, -1, -1, 507294833, -1, 281972666, 745791639, 904723701, -1, 783189668, 212168543, 250755124, 352642037, 966726035, -1, -1, 94439149, 408364276, 726717881, -1, 679119153, 675232855, 342857992, 529212761, 670862478, 831114419, 139899009, 441939681, 114080401, -1, -1, 972157110, 211723413, -1, 586720313, 91959046, 13115623, 556537516, 454436849, 573835772, -1, 449266226, -1, 689508024, 443830604, 238298414, -1, 381054749, 828314464, 310619515, -1, 14730047, 773725699, -1, 476027534, 591023583, 942584387, -1, 684321737, -1, 529510366, -1, 856666025, -1, 695658479, 243025643, 433740096, 268097853, 424681735, 928971601, 891077667, 404987886, 535612427, 791474006, 18451150, 943635355, 429550563, -1, -1, 235648248, 561996585, -1, 471009231, 544790407, -1, 423784375, 693585197, 436456602, 963703882, 128668618, 510641923, 705789108, 609215157, -1, 481461526, 377689815, -1, 653968204, 324303808, 30385639, -1, 937135172, -1, 17255819, 662563628, -1, 395238223, 734952012, 675312418, 943973280, 245555374, -1, 708196970, 193165598, 250069365, -1, 353714265, 722045006, 638740747, 275201780, 755190556, 984589424, -1, 997459316, 769375152, -1, 715162816, 872879622, 695191064, 731660995, 580464712, 24713011, -1, 446908465, 795497149, 465954021, 904923376, -1, -1, -1, 472882409, 341890710, 768953907, -1, 425408337, 699108185, -1, 582888952, -1, 438490798, 874484209, 367346446, 899301369, 798478801, 998893829, -1, -1, 649750995, 4480527, 440250368, 662117995, -1, -1, 66123232, 190449923, 503441278, 667798172, 192909669, 642505572, 186204228, 399167765, 157349232, 533377832, 216629010, 436749794, -1, 81746059, 106823789, -1, 158176355, 296013876, 421719225, 603964434, 8014869, 492281574, -1, 988398283, 257612359, 412286243, -1, -1, 689263829, 861561165, -1, 37501355, -1, 690333743, 881609200, 706604710, 915993778, 968008663, 187502765, 655888004, -1, 99311485, 633064699, -1, 838772309, 450339492, 315661496, 56016933, 582732674, -1, 54784136, 323723683, -1, -1, 497130051, 26811001, -1, 494865669, 191286306, 518235303, -1, 22535342, 770135542, -1, 116574687, -1, 851060533, 534142717, 328163256, -1, 963322643, -1, 544634305, 964099022, 502940550, -1, -1, 883970808, 402265272, 151153449, 965440906, 56241956, -1, 58818606, 113916211, 538266972, 137863022, 918116299, -1, 126589832, 743792865, -1, 70130707, 526436495, 48273085, -1, 20678324, -1, 460067110, 156549895, -1, 157085149, 213717498, 106952960, 647597077, 645247054, -1, 477105354, 986082180, -1, 437946597, 617883454, 173022236, 703139174, 310370433, -1, 323811170, 437559261, -1, 982113107, 682537131, 876475128, 99061824, 115024823, 792915571, 139781583, 825860738, 606942078, -1, 356884657, -1, 116210306, 552773138, -1, -1, 651531169, 452370405, -1, 607410214, 518390070, 290138463, -1, 879077108, -1, 764800359, -1, 473947180, 269615630, -1, -1, 213107931, -1, -1, 999169040, 870401356, 835592866, -1, 181170261, 184973332, -1, -1, 888949281, 237427202, -1, 320223703, -1, 254473838, 974039466, -1, 15991674, -1, 236738721, 642210137, -1, 875177248, 902642918, 343916761, -1, 327636402, 146957383, 432317847, 468237697, 926706456, 2926632, -1, 610943100, 768614817, 113691076, 939278156, 397092567, 428194505, -1, -1, -1, 408356295, 890074574, 523499826, 516368984, 362582514, 952410799, -1, -1, 387619296, -1, 722565376, 61710303, 397299334, -1, -1, 197825647, -1, 472897492, 866983908, 894994121, -1, 668555082, -1, -1, 888587371, -1, -1, 919320044, 12724597, 628838280, 743781231, 341628615, -1, 819257985, 653491958, -1, 830160087, 305541101, 630832011, 527947378, 328877441, 762848120, 198450964, 404770461, 834984787, 220231117, -1, 41362643, -1, 343776254, 910379119, 346030114, -1, 825420923, 211893077, -1, 862155006, 74276453, 642129128, 737700143, 834903056, -1, 466970380, 666480442, 752185362, 199252988, 721771986, -1, 519218299, -1, 754926131, -1, 520053999, 444877887, 728766081, 798393963, 455088463, 375790536, -1, -1, -1, -1, -1, 172344132, -1, 194934827, 315345122, -1, -1, 903970454, 473819992, 746218107, 443236066, 92680272, 736721484, 575150854, 561708343, -1, -1, -1, 473731323, 216056688, 71260445, 40727203, 785927285, 463137006, 830976969, 930573189, 403148819, -1, 329371565, 805528196, 98341358, -1, 588518474, 508748796, 482006536, -1, 296018066, 610162036, -1, 523173155, -1, 876608778, 24395351, -1, 637148299, -1, 210845376, 545309615, -1, -1, 540061277, 112815189, 514237369, 445854670, 427779668, 740717543, -1, -1, 175207211, 822745960, 523226363, 380354221, 332889631, 281722672, 649588025, 666523817, 804860662, 120378978, -1, 451118893, 191503492, -1, 415566989, 626039401, 473989585, -1, -1, 779920078, 994894112, -1, -1, 862655536, 124810629, -1, -1, -1, 898379732, -1, 480940514, 775148496, -1, 567766445, -1, -1, -1, -1, -1, 834356105, 339386872, -1, 566126909, 430140838, 215364642, 519181210, -1, -1, -1, 187240736, 791469406, 705405733, 385435217, -1, 170498270, -1, -1, 909366901, 455823950, -1, 199433167, 132285956, 456569587, 599556600, 389654760, 903808974, 631846897, 421790325, 487413176, 300387282, 513508510, -1, -1, 935827792, 61459022, 651843992, 748490061, 840677090, -1, 81683634, 772471799, 249841461, 851475395, 904170075, 741819130, -1, 367058012, -1, 690608179, 296305939, 947440796, 642150107, 841694231, 241569181, 515269148, 771031729, 370544824, -1, 572891116, 26171565, 566451114, 428363625, 925899443, -1, -1, 287377515, 128400642, -1, -1, -1, 963627405, 225111687, -1, 682408221, -1, 280420629, 793101881, 570046190, 542797840, -1, 317853129, 13686691, -1, 309267477, -1, -1, -1, 708621402, -1, -1, -1, -1, 72135383, 369143627, 75554376, 37374467, 969127072, -1, -1, 910246438, 381204798, -1, -1, -1, 549121612, -1, 512705059, 832319110, 683201468, 690406587, -1, 82055786, 103109205, -1, -1, -1, -1, -1, 589451632, 850250733, 719777321, -1, 579083359, -1, 913430419, 428444124, 649276613, -1, 184971281, -1, 608480097, 209101391, 526424294, 263814990, 847163231, 538460406, 903101036, -1, -1, 729131452, 234226975, 916157936, -1, -1, 536262299, 751836452, -1, -1, 270472206, 708238962, 500269214, 888703385, 883334303, -1, 23626193, 223959790, 117100337, 987309832, 427648566, -1, 135392622, -1, 243866013, 526567428, 678988096, 463184743, 552563750, 964369572, 478511221, -1, -1, -1, -1, 183274445, 682365805, 518285070, 497860350, 35586030, -1, -1, 660409603, 640839994, 400579650, 921228387, 149943524, 790274885, 611915274, 97146833, 250915455, 430825191, -1, 61785422, 320457323, 212672114, 337027835, 41943739, -1, -1, -1, -1, -1, -1, 883602745, 450673920, 415317666, 183748416, 934805504, 829894714, 115297455, -1, 241698212, -1, -1, 497857711, 873653330, -1, 238546934, -1, 858362636, 428933251, 852227740, 856164142, 699120920, 978066637, 47035968, -1, 137437388, -1, 916349917, 536704843, 511127375, 974224008, 687381280, 547832971, 292559455, 739178631, 125978215, 258488538, 6459121, 476151741, 876811853, 898968970, 311662372, 919332811, -1, 187919050, 101303464, -1, 210624270, 408711632, -1, 987648941, -1, 256346709, 538862992, -1, -1, 414288865, 49434465, 599640061, 977147488, -1, -1, -1, 156967786, -1, 936251557, 589367447, 981215085, -1, 597934670, 669202360, -1, 513766521, -1, 174622694, 86061300, -1, 290530440, 319951107, 342355200, 361427586, -1, 162377996, 659124754, 475632185, 314961359, -1, 880524029, 193663327, 384613190, -1, 237523840, -1, 668641831, -1, -1, 740490676, 9862836, 395370054, -1, -1, 214401096, -1, -1, 700079483, 871768205, 675821988, 872995738, -1, -1, -1, 285071454, 247703487, -1, 989037817, -1, 797502956, 952897493, 244586021, 605459050, 261918323, 152907042, -1, 488937401, 610431300, 902260729, 641627222, -1, 647713377, 268823959, 503510234, 41269064, -1, 229735657, -1, 143065091, 445273708, -1, 987155472, 976462028, 196770054, -1, 195823666, 925759051, 514728019, 43038704, 759251425, -1, 110213627, 836844183, -1, -1, -1, 482625904, 102484332, 164659172, -1, 646462385, 358090069, 970040716, 612804691, 726689580, 201487978, 843487038, -1, 567629661, 244692597, -1, 760183569, -1, 447981915, 32750207, 325528074, -1, 953342303, -1, 641693582, 987602024, -1, -1, 915742854, 573114750, 54594186, -1, 828656837, 97869849, 468077258, -1, 368651025, 526224860, -1, 871815765, 750773969, 778831152, 513897703, 774059848, 315445291, -1, 867580028, -1, 479073531, 732188809, -1, 173675957, 89744221, 81353226, -1, 560160619, -1, -1, -1, -1, -1, 187413109, 584731751, 545791114, 425727518, -1, -1, -1, -1, 357265856, 625554152, 729422011, -1, -1, -1, 771638963, 511685323, -1, 376538433, 42187901, -1, -1, -1, 692092015, 954135730, 840375151, 683368583, 905684764, 785602113, 247758080, 483638677, 279618489, 976488507, 641927417, 454653431, 234586762, -1, -1, 282068767, -1, 140597593, 657031859, 439259040, 541384719, 304897989, 699270942, -1, -1, -1, 328340906, 321228123, 829949144, -1, -1, 333673490, 862187622, 726573203, 863950877, -1, 946456925, 126606415, 52265943, 475828474, 829287411, -1, -1, 355867549, 684840119, -1, 891130789, -1, 952451656, 697408337, 354316275, 448803309, 707412834, 293924203, -1, -1, 557597764, 366639332, -1, -1, -1, 838131030, -1, -1, 906044564, 763139060, 504537796, -1, 676004594, -1, 825293745, -1, 42447949, 979374482, 95127205, 34829658, 418245367, 519080520, -1, 650559867, 715730746, 421899612, -1, 733808150, -1, 992278849, 287963157, 195881353, 471165394, 839640029, -1, 239286829, 258246327, 374155978, 304704597, -1, 769090504, 943966673, 983886309, 78950545, -1, 756170990, 897114160, -1, -1, 371274710, 797955897, 258271251, -1, 458860042, 560741895, 193131184, -1, 312850261, -1, -1, 907307799, 233556726, 95310195, 436530415, 582497487, 26327302, 945908558, 127560276, 324904312, 732805394, -1, 635347551, 412363887, 787292442, -1, 302677033, 659141221, -1, -1, 58074978, -1, -1, -1, 114228929, 266930203, -1, 67196944, 267807470, 75744605, 547039722, 468705302, 410523872, -1, 390955155, -1, -1, 249534439, -1, 449011365, -1, 865551296, 726369867, 253367822, -1, 737830084, 827862951, 195883671, 278055415, 961619136, 18418358, 432308273, -1, 586496934, 731568043, 569688139, -1, 140038075, 335965503, -1, 623631237, -1, -1, 627315360, 129986130, 41639847, -1, 856400984, 190088144, 368310941, 629818255, 407623994, 983295759, 959636211, 835060794, -1, -1, 929134462, 544285495, 919099468, 442282553, 933529481, -1, 52328166, 453181978, -1, 980262260, 32455833, 408061052, 189845129, 666514576, -1, -1, 844961201, -1, 843072614, 374641779, 795853770, 399748341, 685177349, -1, -1, -1, -1, 563018781, -1, 847457422, 64471644, 742829720, -1, 500380181, 713461881, 359751458, 673223227, 870661762, 242645390, 960626279, 403027723, -1, -1, 443639234, 47262617, -1, 290882808, -1, 749175100, 320150800, 821998492, -1, 97831050, 382143820, -1, 745410230, 644015168, 341938463, -1, 664330889, -1, 136706218, 896929277, 192689947, -1, -1, 270628169, 631840958, 725625437, 577619230, 343458069, 321485930, 716064437, 420951350, -1, 213542799, 933989200, -1, 498727362, 757514719, 72402728, -1, 839714299, 889368320, 204533692, 580631792, 208158327, 356740115, -1, 21583912, 36045182, 507158574, -1, 584985395, -1, 748742305, -1, 598874583, 465119563, 788906155, -1, 182063269, -1, 804596700, 599145769, -1, 475911090, -1, 226252211, -1, 907327995, 974550518, -1, -1, 704380952, 767873269, -1, 544296986, -1, 367509992, 470041671, 805461956, -1, 158194672, 546572329, -1, 910963767, -1, 221529973, 526127107, 312986612, -1, -1, -1, 779646523, 488459200, 81246474, 845505089, 247255264, 242294046, 816310428, -1, 220545245, 448020603, 342412283, 813290332, 764299872, 741714134, 224843863, -1, 743487172, 812492007, -1, -1, 339150512, 646859607, 835327067, 705367217, -1, 909914518, -1, -1, -1, 502990031, 471988254, 512270212, 433006756, 779100387, 332547734, 171444723, 753271859, 754419459, 388557268, -1, 279199837, -1, 233023807, 116855287, -1, -1, 530737545, 720513654, 211776650, 501014689, -1, 707317861, -1, 13108521, 200550698, 914015959, 308899231, -1, 652272808, -1, 812978243, 584094206, 861652210, 452812157, 186577873, -1, -1, 483475881, 137293367, 529686018, 948625256, 504828778, 428731571, 289251164, -1, 138511999, 416658993, 756216366, 749237390, -1, 178999368, 639734040, -1, -1, 423582053, 305454144, 283603658, 283776130, 171841150, -1, 710026649, -1, 806608673, -1, 72223015, 314284895, -1, 763686818, -1, 760488417, 846379698, -1, 519908147, 112636938, 645174762, 695711710, 509506838, -1, -1, -1, 307077604, 39264944, -1, 993982765, 932081553, 481450973, -1, 607555171, 687199548, -1, 64276435, -1, 964850149, 202959372, 833680724, -1, 45420058, -1, -1, 191069232, 820992852, 647314081, -1, 830490212, -1, 644450349, 166687640, 504366310, -1, -1, 160635534, 356278327, 607584830, 634594822, 125976972, -1, -1, 530341035, -1, 497203013, 490780463, 112740186, 704288322, -1, -1, 683301664, 351261362, 595353260, 54394194, -1, 968782688, 751572007, 649357304, -1, 478086576, -1, 490358568, 105935965, 312916577, -1, 749639808, 185446252, -1, 632885997, 951031155, 628806510, 34423460, 254588671, 358874527, 221821493, -1, -1, -1, -1, -1, -1, 813613822, 91335395, -1, 375946340, -1, -1, -1, -1, 72334779, 150252912, -1, 342569776, -1, -1, -1, 178149502, 658746094, -1, -1, 253613952, 40292249, 801633936, 553674764, 54856498, 745425688, -1, 577312845, -1, 947413831, 271141994, 287964308, -1, -1, -1, -1, 148766918, 419418807, 382559738, -1, 359538962, -1, 456972748, -1, 45605111, -1, 959754530, -1, 683507519, 426928606, 608528557, 41017956, -1, 364211180, -1, 566863945, 698846671, 743781379, 806591677, 389388973, 753320172, -1, 59579470, 586409449, -1, 970440804, -1, 288536608, 773973463, 166048251, 256352907, 361694602, 935853918, 930632429, 801418522, -1, -1, 652493026, -1, 957330657, -1, 813625778, -1, 428112382, 905136408, 557659270, -1, 682460126, 160983401, 248164807, -1, 610798174, 873968812, 118889817, 994877676, -1, -1, -1, 578281726, -1, -1, -1, 417209187, 261946399, 945216479, -1, 925817386, 362132386, 399436890, 669836453, 32533343, 261213996, 616448673, 402745783, 480710628, -1, -1, 148808479, -1, -1, 751346777, -1, -1, 270925288, -1, 905169619, 281727208, -1, 527013304, 264308166, 340059619, 653660208, 572521857, 710075812, -1, 436747171, 257214689, -1, -1, 386160532, 22464183, 332610571, 294920417, -1, 160103401, 149149623, 289472437, 410030720, 67428184, 634236753, 884962474, 768835724, 986095476, 797573925, 589632860, 533050280, -1, -1, -1, 451287597, 650786659, 692267201, 334554938, -1, 745503270, 362865916, 107067398, -1, 465641625, -1, 226451324, 301014722, 807762714, 409735130, 886832965, 971927340, -1, -1, 194496103, -1, 919609485, 670704758, 439395511, 145904827, 424050219, 204756113, 164016146, -1, 95409954, -1, 777530518, 84692637, 496099788, -1, 738418339, -1, -1, 82318208, 997077905, 655930148, 949046085, -1, 122069249, 995285023, 144297335, 156535089, 398747130, 509414449, -1, -1, -1, 229708242, 576243691, 840748349, 903672119, -1, -1, -1, 735987924, 57514626, -1, -1, -1, -1, -1, 21700957, 183352770, -1, 557158564, 690966411, 126412757, 778512492, 144889470, 161942504, 874547285, 610944447, 298847093, -1, 434506611, 105309790, 185402225, -1, -1, 737543951, 951282607, 547454937, 611661490, 32140036, 677624998, 810250526, 247426241, 220772870, 761673420, 450248753, 266372373, 44083102, 918050483, 796541272, 900134407, -1, -1, 53680309, 110669175, -1, -1, -1, 56293382, 977086890, 496887952, -1, 717107462, 102351248, 835364015, 476944145, 908619877, 78048285, 95801169, 673705911, 286258373, 629665395, 709276676, -1, 633789505, 785592087, 69128897, 384705408, 982544174, -1, -1, 159964837, 489146962, -1, -1, -1, 136522153, 364603728, 161027842, -1, -1, -1, -1, 876533420, 98152473, 177428254, -1, 282862601, 260502418, 413582607, 209603779, -1, -1, 513085401, -1, 346277856, 485967984, 111899, 3759325, 684783674, -1, 27266984, -1, 945629277, 427104666, 561406665, -1, 316613572, -1, -1, 151583220, -1, 383950720, 274507091, -1, 198416740, -1, 529643809, 557425927, 240200789, 613130722, -1, -1, -1, -1, 16215352, -1, -1, 702150041, 831014084, 820116273, -1, 293011787, 3963621, 350023410, 502777809, 209586080, 802006378, 711801478, 508396395, -1, 435167620, 777008735, 247824375, -1, -1, 291986103, -1, 817673634, 370919388, -1, 31308913, 186427508, -1, 463272582, 489083376, 398121067, 903310396, -1, 960193452, 178172114, -1, 316915604, -1, 510836125, 877548688, 716615159, 440441727, 641249079, 466617229, 20995702, 430697283, -1, 346239380, -1, 351333076, 885216708, 820267275, 715544953, 569314044, -1, -1, 293226541, -1, 929250178, -1, -1, -1, 776874570, 791164461, -1, 906153739, 809802697, 706842680, 893102620, 878564241, 700827926, 686471387, 322300263, 719682929, -1, 896798588, -1, 785487521, -1, 721361810, -1, -1, 48406995, 94799525, 350831752, 13889050, -1, 102497703, 452163916, 866328086, 496030498, 495114328, -1, 128775030, -1, 860364845, -1, -1, -1, -1, 771322907, 549656486, 52648901, -1, 359889289, 888969580, 947911190, -1, 433635315, 461264013, 997774695, 92364953, 785960909, 998828888, -1, -1, 548588850, -1, 32442157, 971755471, 125010132, -1, 715069131, 517582713, -1, 703680215, 859390218, 943153685, 300102616, -1, 32327921, 751186104, 561656023, -1, -1, 861524033, 307189894, -1, -1, 485063588, 477327294, 735400705, 146740927, -1, 56960820, 51751305, 793018231, 714814500, -1, 688165065, 406121328, -1, 847570067, 968205358, 770010605, 313209510, 936419694, -1, 437210151, 442977944, -1, 488484072, 481026012, 456158018, 435309352, 309829519, 734137320, -1, -1, -1, 337269656, 99204703, 675555881, 491568326, -1, -1, -1, -1, 827622314, 924086529, 3109212, 258299, 427076634, -1, 439761189, 928013038, -1, 930564339, 677154020, 91801304, -1, 879293107, 981634126, 393696498, 28210931, -1, -1, 862650303, 312106351, 294762330, 765865705, -1, 843942436, 550119124, 667292471, 141128666, 229771778, 849364299, -1, 373571291, -1, -1, 430658232, 197440103, 895520519, 660823223, 746709528, -1, -1, 878806346, 64524006, 94344519, 85013305, 723530721, -1, -1, 308322623, -1, 30907261, -1, 897880059, 545763075, 423228442, 409192724, -1, -1, 775371373, 456216089, 295504985, 552331664, 18853733, 132291675, 977764605, 638055078, -1, 271122759, 641721128, -1, 969012094, 538740698, -1, 861867635, -1, 875165292, 155853955, 656646221, -1, 839970064, 287623999, 763901692, 261916503, 62771565, 862468798, 25684783, 851121783, 454773821, 784255479, 405986679, 657759221, 235926312, 479104895, 723055004, 604136298, -1, 864898611, 642912648, 468152826, 230725374, 941335127, -1, -1, 295998306, 132086127, -1, 978360396, 888041664, 922811342, 836568056, 526598650, 538896711, 303412613, -1, -1, 180945641, 616552331, 397757512, -1, -1, -1, 578953709, 849877038, 643983579, 832566896, -1, 962339058, 666005476, 965953611, -1, 535335894, 77508425, 131293241, 798001594, 302115066, -1, 326863749, 361432690, -1, 638789670, 488666799, -1, -1, 379606422, -1, -1, 616420798, 881421073, -1, -1, 378434961, 34906234, 755418624, 341874254, 923804144, 687473569, 424886008, 238141654, 399457541, -1, -1, 257708827, 644407479, 817347456, -1, 773244226, 600572954, 243486531, 452965406, -1, -1, 273609824, 440633212, 465710858, -1, -1, 872332784, 237716094, 458195668, 631150737, 949532331, 228156229, 422721216, -1, 884542070, 617418873, 280049214, -1, 218670040, 702700066, 365698994, -1, 658207679, -1, 371705322, 936161937, 861884564, -1, 518749679, 337420001, -1, 695380135, 916664247, 630070835, -1, -1, 477970092, -1, 278832203, 653962383, 91347751, 966157970, 665564052, -1, 478599626, 817943749, 125470210, -1, -1, 977184935, 495226905, 930078877, 337113978, 191221386, 985486183, 401224576, 411094126, -1, 744726928, 689685036, 197575205, 744027398, 618228140, 772811432, 509454475, 345292153, 31362553, 744300886, -1, -1, 212835514, 158154840, 802906524, -1, 7222764, 127550059, -1, 913206430, 747382252, 222236150, 728599084, 213590730, 898543045, 238041315, 649635079, 604787489, 687211162, 12841019, -1, 589814301, -1, 415597720, -1, -1, -1, 334522007, 408448072, -1, -1, -1, 97525059, 512586222, 118537869, -1, -1, 800526569, 30307075, 348747064, -1, -1, 136464898, 748810819, 83424468, 446062428, 203754766, 640080835, 244768716, 122294745, 339456625, -1, -1, 462352659, 800180879, 28817430, -1, 865107561, 500280920, 968885062, 841108983, -1, 496432342, -1, 246218470, 875349591, -1, 998942263, 217326742, 958797999, 491414325, -1, 140896897, 559278902, 125709557, 471892743, 60276938, 24458915, 690003224, 242893599, 998079192, -1, -1, -1, 280184567, 792818199, -1, 729354084, -1, -1, 939922184, -1, 940932945, 315746798, -1, -1, 1345227, 17861838, 904767963, -1, -1, -1, 297975029, 75984284, -1, -1, -1, 932607401, 768733744, 121539064, -1, 820864645, 72097184, 960802996, 506969956, -1, 748671665, 204372039, 360053105, 147878629, 400546571, -1, 950740550, 949936026, 692185257, 632460898, -1, -1, -1, 524515096, 594579450, -1, -1, 969447651, 66286772, 452000731, 561160476, 663942337, 570994199, 506144879, -1, 146620382, -1, -1, 846579803, 360497230, 279853062, 391317290, 412705883, 470491700, -1, 406782645, 860618932, 246195419, -1, -1, -1, 266803997, 571726413, 118106528, 56324080, -1, 831371531, 734685200, 764245462, 340419476, -1, 83722793, -1, 223646283, -1, 361261865, 416721590, 787009752, 972619661, 403167796, 42880680, 853927914, -1, 257714210, 910325464, -1, 372603094, 357501668, 471006292, 454234473, 56985896, 28192762, -1, 177902992, 280564307, 761260521, 99779820, 357711451, 739826045, -1, -1, 764756013, 419601543, -1, 498015988, 489834371, -1, -1, 382183927, -1, 403186678, -1, 907723670, -1, -1, 886210099, 756371435, -1, -1, -1, -1, 636058482, 568085305, 244718482, 212659098, 779586765, 553565481, 164589288, 811759145, -1, 779129134, 209064834, 662425012, 898058649, 753509587, 723592084, -1, -1, -1, -1, 220522119, 599089968, -1, 28220633, -1, 375450409, 221403956, 135181887, 764820093, 351486221, 489434014, -1, 638186212, 624709635, 175500522, 400183947, -1, 710927642, -1, 279342156, 295672090, 745502668, 520926366, 844587803, 486802818, 741594662, 478827714, -1, 847020853, -1, 641394822, 641222391, 950482955, 797756695, 347658363, 228822286, -1, -1, -1, 472824985, -1, -1, 381575513, 605565756, 551540175, 902877346, 211614679, 738204780, -1, 293618898, 371833772, -1, -1, 769488875, 363610547, 286527366, 367875560, 288709671, -1, 373882166, 214496690, -1, 337034684, 748278612, 604305475, -1, -1, 940332941, 741459169, -1, 665987416, -1, 975409987, -1, 895598710, -1, -1, 485568586, 215783482, 286955560, 428611599, 820568092, 245537225, 627889878, 198537616, 44813371, 502639504, 254813473, 360878598, 228317540, -1, 920298169, 828484213, -1, -1, 573948165, 579018127, 340229177, 524231646, -1, -1, -1, 262736129, -1, 293051643, 695544160, 627170441, 924161593, 880147088, 759806319, -1, 199476525, 814606316, 894570452, 110271978, 504619100, 792633580, 117125122, 887724294, 622596239, 929658231, -1, 739114782, 816884438, 870666577, 677725155, 573394902, 279621198, 254725079, -1, 517145373, -1, -1, -1, 743438561, 505866448, 269459648, 556029320, 219252885, 919699030, -1, 970668749, -1, 28985439, 796960697, -1, 331356650, 854977665, 239896088, -1, 281517348, 258725830, -1, 884847901, 479172706, 309589029, 477242964, 965824645, 707446280, -1, -1, 256500153, -1, -1, -1, 283104949, 978632738, 260611107, -1, 489306149, -1, 350899134, 954141428, -1, -1, 23387884, -1, 822247034, 518430497, -1, -1, 656676513, 187826307, 490489303, 989346531, -1, 876305827, 833786255, -1, 402994473, -1, 382150257, 40270921, 183182149, -1, -1, -1, 257365732, 538035212, -1, 901715907, 433362052, -1, 440202794, 300541950, 651808721, 845500371, 211675540, -1, 420549383, -1, 802074870, -1, -1, 629578417, 348485535, 295029135, -1, -1, 869644450, 591479026, -1, 951642517, 956898904, 849504430, 957638244, 751217112, -1, 656518220, 866726685, -1, 642619944, 118725012, -1, 675947434, -1, -1, 9203162, 67507851, 411847102, 974367486, 991311113, 865653171, 381660778, 2228462, 957971856, -1, 798211421, 855171990, 692593773, 198937401, 788469310, 395333358, -1, -1, 585039007, -1, 952391982, 631045767, 146717661, 778701220, 877230255, 345376451, 498972628, 172557215, 389308627, 716470942, -1, 145371187, 765330787, 933550284, -1, 564357744, 236728531, 468262323, 888669492, 125421247, -1, 466764278, -1, 862111118, 633687730, -1, -1, -1, 181559309, 621945555, 191672371, 505961453, -1, 565996077, 160984359, 107971818, 508584114, 246088470, 550668572, 640634662, 189195393, -1, 164421329, -1, 954019266, 912677260, -1, -1, 201779891, 711995489, 825012624, -1, 322714973, 357881982, 757477426, 47976496, -1, 912578619, 157694926, 546125146, 968082033, 603801327, 174980964, -1, 457767431, 94625367, -1, -1, 120894624, 78501141, 345002509, -1, 985291668, 571324478, 25580378, -1, 140117307, 837142012, 666051140, -1, 890750598, 531262421, 93614961, 116616314, -1, 672014086, -1, 472722268, 991769051, -1, 331950311, 897570561, -1, -1, 735789995, -1, -1, -1, 542954166, 794565243, 369202585, 286991696, 867731546, 965401321, 104648119, 590879134, -1, 518894694, 248557336, 76702956, 458385800, -1, 885266277, 605462254, -1, -1, -1, 934925369, -1, 944878329, -1, 755538367, 674550956, 76695853, -1, 148771103, -1, -1, 109859534, 361402402, 729914577, 634851236, 945429741, 183665683, -1, 458256160, 250056477, 397844602, 59447418, 590336505, 531260079, 897346863, 294966243, 272081446, -1, 228007282, 831268086, -1, 425810728, -1, -1, -1, -1, 49278007, 149828934, 335201924, 21482162, -1, -1, 544938906, 206075143, -1, 169049368, 545691374, 635541380, 464551092, -1, 509714171, 212114335, 617312606, 956416719, 511531437, -1, -1, -1, 455616365, 837076668, 461112220, 228272349, 610574895, 964179645, 835374227, 411036398, -1, 175724412, -1, 543953400, 116659807, 655339277, 600996094, -1, 546661474, -1, 435560842, 266587123, 798022115, -1, 870324038, 228720354, -1, -1, 169201732, 401161341, 299311266, -1, 694744800, 109368369, 152958654, 210144744, 158780993, -1, 501741319, -1, 250240682, 664093960, -1, 143307853, 798308572, 579161617, -1, 942335354, -1, 659576375, 849514025, -1, 924654658, 193858835, 952670937, 477179111, 138004277, 861284145, -1, 400294000, 437833269, -1, 676275575, 993909656, 978898721, 737920545, 904966510, -1, -1, 953474458, -1, -1, -1, 616039192, -1, 279186903, 16347618, 554835259, 331575522, -1, 724176367, 847079183, -1, 997822716, 694721419, -1, 465364465, 325274884, 133681300, -1, 856115154, 593120854, -1, -1, 195451600, 340439016, 107288021, 948413633, -1, -1, 284813540, -1, -1, 424825682, 423528964, 336719158, 87498470, 138642452, -1, 768198809, -1, 739822599, 566056118, 439313338, 656292235, 809007111, 815517164, 600859173, 29648508, 294783122, 514615319, 731964330, 185482343, 898967953, 708089192, 126754314, 906480074, 883134477, -1, 975105271, 100689121, -1, 278499500, -1, 253357153, 161177254, 954540185, -1, 392392043, 792029064, 990109520, 738877647, -1, 395401517, 705716740, 629222940, 329645385, 361711930, 743022246, 552396297, 916244941, 677800698, -1, 10252334, -1, -1, -1, 611739903, -1, 615521217, -1, 573995426, -1, 961806420, 175599184, 872591338, 293255319, 319868872, 470544838, 961750510, -1, -1, 349054296, 685013704, -1, 237729344, 278205038, 817307800, 812492590, 423099178, 302947681, -1, -1, -1, -1, 962490184, -1, 579852582, 899396897, 247399564, 987779347, 62822688, 165750012, 684039343, 999753648, 5269401, 909301219, 997083693, -1, 958581137, 45414084, 78803416, -1, -1, 779541645, 962763794, -1, -1, 304799302, 690222216, 772415345, -1, 349524646, 701244492, -1, -1, -1, 3460202, 291988761, 161058138, 304285647, -1, 225018188, -1, -1, -1, 873882332, 632509068, -1, 435106793, 126394504, 497724928, 583231467, -1, 397650375, 445204496, 508934441, 379679962, -1, 32382256, 797884285, 437626478, 658937732, 820271090, -1, 81738796, -1, 934710430, 567495833, 698786753, 304039948, 967457470, -1, -1, 712007880, 168733213, 623983033, 53807240, 913100658, -1, 566596605, -1, 730164569, 894931642, 209852297, 420935549, 390633138, -1, 707162059, -1, 846990357, 801618311, 767078012, 875167843, 977075675, 722744391, -1, 586717652, -1, 532350009, 29876642, 770617273, -1, 790557800, 605893917, 142978669, 571877036, 456769976, 324656017, -1, -1, 101216871, 412290428, 173217128, 145840519, -1, 338704661, 584434294, -1, -1, 776290408, 475456361, 23306449, 616958137, 64391388, 422462944, -1, 394389237, 46467296, 810127789, 906719499, 414117714, -1, 762965036, 598071719, 731185495, -1, -1, -1, 270080594, 262197771, 653171228, 314031642, 526264308, 986515713, -1, 242661296, -1, -1, 760207329, 470646438, 641721305, 612713969, -1, 117248175, 954277884, 929212775, 524981581, 409978623, 293290566, -1, -1, -1, 987297706, 889858280, 739839343, 832850606, 215328779, -1, 595252337, 220848457, 356016844, 650611305, -1, 10351620, -1, -1, 894279410, 645148424, 33179350, 80998847, 417721801, -1, 319055043, 964317456, -1, 949229870, 745190165, 413838170, -1, -1, 624995656, -1, -1, 888449159, -1, 360095124, -1, 924248370, 560806344, 414840044, 498696462, 428377172, 257353796, -1, 466703412, 766622673, 254090553, 548486022, -1, 616002357, 303552950, -1, -1, 711360054, -1, -1, 52316062, 507603972, -1, 611915794, -1, 129134048, -1, -1, 275436323, -1, 550836089, 847722102, 405151004, 494957204, -1, -1, -1, 770996299, 773422602, 668725399, 353134534, -1, 802727166, 251812890, 218060678, 315554025, 429079338, 22625319, -1, 382975543, 730454667, 525416027, 302962969, 574599695, -1, 548578479, -1, -1, -1, 811678167, 627014526, -1, -1, 221894319, -1, -1, 320781159, 351254998, -1, -1, 610265675, 988759692, 341043376, 739512694, 306042865, 249477934, 133413655, 830527609, -1, 520641621, -1, 691762218, 694819089, 299695692, -1, -1, -1, 864873506, 926724779, 854484284, 748095100, 613198545, -1, 658529117, 117675584, 588199549, 352872964, 504581545, 578824655, 719222045, 326322872, -1, -1, 521681991, 653558363, -1, 254082220, 309942639, -1, -1, 944528211, 287371537, 316711599, 522918252, 956854060, 8048076, 375425275, 837766045, -1, -1, 746978833, -1, 697068703, 652079701, 990998010, 691962489, 135183259, 556385323, 81014703, -1, 552713023, -1, 954693036, 875333999, 555686377, -1, 800956133, -1, 8008897, 801979486, 901469327, 394782061, -1, 314386196, 15880484, 370036973, 613263175, 712546568, 71920461, -1, 774198531, -1, -1, 450896318, 402343144, 45103102, 897300332, 461117006, -1, 960446109, 787544187, -1, 803505205, -1, -1, 993837826, 747660271, -1, 939544093, 582827486, -1, -1, 514675539, -1, 318377089, -1, 797601651, -1, 38037528, -1, 614241393, 718927512, -1, -1, -1, 148033130, 33636583, -1, -1, 412951910, 925906130, 52816924, 18765612, 500132901, 137150621, 715288175, -1, 4436988, 874004668, 578076892, 541219987, 598057232, 916047358, 815861198, -1, 369671291, -1, 871164061, 209057022, 819767446, 419903672, -1, 668367783, -1, 682866337, 83985017, -1, -1, -1, 228193876, 50576555, -1, -1, 370348114, -1, 23587823, -1, -1, 115035816, -1, -1, -1, 90431917, 950802146, 405927511, 885496008, 482620961, 599592777, 193958408, 750271397, 557528744, 11981848, -1, 625008295, 974612422, -1, 159720499, 491578368, 156512809, -1, 671086636, 467881934, -1, 101409062, 793237739, 395485410, 144472336, 755195360, 154670310, -1, 69712883, -1, -1, -1, 550959085, 1294728, 878824997, 411284969, 847908235, -1, 267732830, -1, 691505763, -1, 20997123, 700002068, -1, -1, -1, -1, 13960806, 408666832, 416139985, 104283263, 379513911, -1, -1, 502355541, -1, -1, 544642743, 932552542, 683765782, -1, 923206987, -1, 111374998, -1, -1, 941693554, -1, -1, 455331729, 272058228, 211336152, 162750126, 734239210, 495398323, -1, -1, -1, 95974677, 173691630, 4094779, 31794252, 251442851, 732697216, 128782151, 133435041, 321322496, 593217958, 55803112, 427504591, -1, 548311296, 625153843, 581441314, -1, 442137457, 221650535, 376753565, -1, 625077641, -1, 629970966, -1, -1, -1, 553203736, 404835811, 518043677, -1, 469621906, 39401396, 533254010, 622029263, 359853018, -1, -1, -1, -1, -1, -1, 822593417, 352956895, 913008841, 566983731, -1, 287863510, 327144786, 554615219, 824048635, -1, 588242176, 266592670, 409743763, -1, -1, -1, 850083146, -1, -1, -1, 896701368, -1, -1, 729658773, -1, -1, 558437537, 613816210, 328254029, -1, 908142185, 571215278, 605243537, 348036400, 195718909, -1, 58530190, 271885184, 579343201, 865958230, 462942737, 336129130, 95176262, 277124200, 110759967, 439817780, -1, 675701636, -1, -1, 428479352, 468099449, 338421524, 667631077, 431326353, 943287427, 715762067, 368230644, -1, -1, 606132336, 721028474, -1, -1, 145214003, 219012838, -1, 122657356, 822665136, 196375176, 454972490, 512012096, 284663401, -1, 854558605, 802234259, 558118153, 363270141, 941509423, 333307531, -1, 743883445, 586365572, 138429639, 207457884, -1, -1, 368742962, 620459029, -1, 408763486, -1, 963122351, 757035887, 112043562, -1, 233014350, 622651708, 477413268, 143458278, 457681438, 966772083, -1, 75597320, -1, 35020172, 976789183, 261277059, -1, 309937374, -1, 25283998, 47372882, 585033898, 193602852, -1, 380848234, 872101106, 108330226, 761220894, -1, 447492651, 43982813, 274901840, -1, 427907004, -1, -1, 216452237, 510063448, 316491576, 417319772, 95032365, -1, 894447327, -1, 377926428, 119754039, 362832373, -1, -1, -1, 50901188, 772895984, 416776957, 25904645, 192647178, 798535529, 428155061, 102947350, 58829491, -1, 269547583, 207870217, 268468868, 986168058, 2687845, 772749839, 794227696, -1, 223307257, 662575571, 556658170, 792675159, 403409746, -1, -1, -1, -1, 376426007, 853101276, -1, 103723102, 882777841, 768012796, -1, -1, 495547414, 629609388, 167612113, 496906721, -1, -1, -1, 670593453, 836225934, 485073757, -1, -1, -1, 881219019, 685947012, 480009819, 914102093, 857846770, 491802791, 219023427, -1, 530635887, 581724393, 630248676, 534484343, 969951344, -1, 590101948, -1, 614943441, 768811356, -1, 574583874, 233834821, -1, 567305683, 383334396, 417071354, 767523897, -1, -1, 693842458, 607265567, 937394301, -1, -1, 128931738, 260646076, 330502427, 601041645, -1, 273916076, -1, 132176576, 991286275, 504608664, 720229613, 146790159, 317373912, 555199722, 935292159, -1, -1, 889950880, 832214210, 974154081, -1, 560400613, 621367602, 939740146, 491095290, 372294899, 226142581, 99844754, -1, -1, 73531436, 842025398, 532698692, 696761103, -1, -1, 767585844, 949440090, -1, 598400563, -1, 528187912, 730946151, 99019323, -1, -1, -1, 98039305, -1, -1, 446089996, -1, 698666928, -1, 106176596, 919601190, 795753212, 713343903, 374037966, 692915403, 959956967, 476658116, -1, 18157616, 506666980, 890865900, 49922863, -1, 397619824, 334998606, -1, -1, 408638439, 657366815, 689706743, 431643036, 70898315, -1, 185314269, 965292613, 743247564, -1, 851310374, -1, 280771870, 700964071, 307412251, 442801888, 371341439, 656481732, 313208970, 44347858, 243360085, 293849189, 979899222, -1, -1, -1, 178840085, -1, 403298851, -1, 262733562, -1, 917034029, 196549506, 915933877, 920445977, 706838881, 191095466, 823765883, 92580722, 679363990, -1, 435154525, -1, 320386071, 248739830, -1, 189525752, -1, 394262803, 638550804, -1, 189480141, 864895171, -1, 302453357, 824808547, -1, 958054720, -1, 843275046, -1, -1, 820450730, 922320227, 556716075, -1, -1, -1, -1, 923704462, -1, 622854912, 849080369, 442178888, 75120771, 627746543, 95830332, 357700293, 319189051, 560776578, 848482169, 204434577, 463742232, 908752883, 222844041, 84970027, 790580030, 193168629, 734611198, 46791498, 867912291, -1, 521717572, 846488557, 377348143, 312948392, -1, -1, -1, 584169608, -1, -1, -1, 714100086, 762639090, 837075361, 405916101, 486355663, 726425950, -1, 873967300, 821145145, -1, 221307502, 869383804, -1, 683320247, 647597985, 689566416, 481459145, 538235165, 476497783, 455817887, 640662438, 677006254, -1, 182739125, -1, -1, 753555319, 3697355, 190571196, 52870133, 250541927, 848960072, 73220870, 470025719, 746470795, -1, 191921026, 970627601, 304508996, -1, 667358772, 295946824, 50253717, -1, 691127164, 400807044, -1, 214619923, 990887151, 143795476, 785135937, -1, -1, -1, 9202449, -1, 343976903, 159310639, 102775080, -1, 128062613, -1, -1, 978407103, 663534554, 966599172, 843547269, -1, 315800532, 570160417, 600472328, 646753100, 570628745, 798269703, 920115793, 502914931, -1, -1, -1, -1, 547597925, -1, 318955816, 185136783, 917905537, -1, 810144086, 208054636, -1, 340931691, 75606745, 968798139, 184310488, 591307683, 753740124, -1, 129130654, 930223293, 518061348, -1, 656227879, 745814517, 466161411, 416988620, 688389121, 536160099, 706586894, 151188614, -1, 165059402, 696158652, 773880366, -1, 224807802, -1, -1, -1, -1, 151488862, 981518839, 917368832, 965486179, 847392555, 91191736, 770101611, -1, -1, -1, 109144288, 492064920, 745889517, -1, 5141910, 84220172, -1, 500101096, 225273358, 618325857, 927238895, 377741861, 733930528, -1, 882437177, 978486648, 769463531, 728015218, -1, -1, -1, 16496176, -1, -1, 963454836, 777744317, 724009958, 856055953, 43617885, 261077860, 959418031, 393188365, -1, 9804002, -1, -1, 229540222, -1, 127742957, 551438649, -1, 46893242, 14271076, -1, -1, 48092620, 449940122, -1, 281872049, 381004161, -1, 753243694, 651997028, 430218395, -1, 24893516, 841821335, 557124076, -1, -1, -1, -1, 808489735, 958416338, -1, 363942909, 939453534, -1, 226987171, 968575148, 94413529, 872841941, 143258210, -1, 36935441, -1, 272739800, -1, -1, -1, 266837360, 964911170, 409673895, 346270663, -1, 417719952, 829301581, 119223776, -1, 781879609, 829512140, 778870053, 400934016, -1, -1, -1, 467571680, 537986616, -1, 818462781, 710087431, 32520790, -1, 762130841, -1, 728741764, -1, -1, 167173395, 652396108, 138987382, 815383692, 297776036, 965181470, 746799868, -1, -1, 352387574, 328971531, -1, 165826950, 566576227, 918894152, 253901135, 889145308, 48840020, 695047616, 762248024, 145750521, -1, 403547036, -1, -1, -1, -1, 137309930, 849553943, 244719077, 267275865, -1, -1, -1, 727581760, -1, 978449550, 130443570, 872387992, -1, 82618332, 618446764, 470363874, -1, 666493446, 778358142, 913981817, -1, 742156488, -1, 19989364, 834590867, 917851694, 188308154, -1, -1, -1, 791517497, -1, 980847117, 548730196, 455457071, -1, 30915216, 69614427, -1, 888517443, -1, -1, 313313172, 767092020, -1, 374437771, 549653026, 411168930, 778415947, 998374051, 453596322, 11446014, 78870965, -1, 344266928, -1, -1, -1, 739461972, 609539054, 792507348, -1, -1, 365573341, -1, 387134621, 251111283, 704929997, 578499144, 693759850, 170624414, -1, 624815799, -1, 244594629, 6049709, -1, -1, 387851486, 450872304, 496899531, 634478692, -1, 699393281, 951715730, 933284361, 98098042, 14615095, 964971937, -1, 304716861, 229665556, 543730582, 893469238, 806615498, 872211005, 684946878, -1, 673707914, -1, -1, 375627409, 819154681, 654786361, 15576142, -1, 311391778, 189836540, 870804143, 699423061, -1, 583737001, -1, 241475917, 732061342, 567253597, 661838365, 866645114, 430323553, 154796086, -1, 189784691, 174394032, 114159743, 478022016, 330404611, 73549469, -1, 308979051, 421166096, 317183020, 339105558, -1, 93521064, 609244450, 355617488, -1, 14085242, -1, 20759826, 717610188, 430770693, 905116887, 27512232, 495545654, 884410206, 96389628, 528197728, 715476379, 333709635, -1, 784295755, -1, -1, -1, 582701548, 150272502, -1, 871113097, 166567128, -1, 171762905, 770029742, -1, 798345104, -1, 872967987, 308654241, 615760630, 559248487, 784625273, -1, -1, -1, -1, -1, -1, 974835182, 843017809, 334413963, -1, 74587387, -1, -1, 141097209, 289200037, 213357258, 531161898, 964558982, 576839873, 749049650, 165825689, -1, 527009012, 436555289, 277727215, -1, 22119505, 705438046, 134555802, 150998933, 478197793, -1, 638976847, 183045189, 248686350, 141697721, -1, 534374715, -1, 87234991, -1, 150011623, 327497275, -1, 391661143, 424391431, 615975771, 186908907, 146342206, 636367559, 29094425, 548130454, -1, 766218267, -1, 94009280, -1, -1, 596939754, 162410430, 698175250, 834901779, 561388032, -1, -1, 979440601, 963502699, -1, -1, 377611218, -1, 705154416, 610019516, 666295863, 264299160, -1, -1, -1, -1, 558105485, 239522707, -1, -1, 415873013, 564579447, -1, 602884928, -1, 337955270, -1, -1, 200239968, -1, 163669228, -1, -1, 138699410, 363692612, 961633031, -1, 131735428, 682232798, 936788938, -1, 955078709, -1, 800963546, 943502673, 587689440, 858456176, -1, 179398600, 650882988, 916996609, 156323574, 267004185, 135485910, -1, 597423858, 489671458, 73298982, 335206760, 574035057, -1, 916277374, -1, 274249810, 627520890, 884141042, 258176519, 149017011, 140653733, 379602908, 637015033, 445504604, 937141159, 360990698, 910058220, 916738215, 931681705, -1, 670672292, 384969755, 231344031, -1, -1, 213082483, 527038561, 808043907, -1, -1, 948312821, 151581398, -1, 438101769, 493074597, 428308743, 174108568, 9715073, 321622541, -1, 934763531, -1, 189011808, -1, -1, 637037039, 115685632, 760069608, -1, 83524772, 71637709, 893032989, 772892291, 54247940, -1, 213948742, 596444019, 111296680, 362276617, 195903849, 96036709, 127925360, 70289765, -1, 31098327, -1, 237171893, -1, 765399773, 573770790, 33602771, -1, 934831593, 569821162, 446014501, 841565298, 461398700, 909168691, -1, -1, 719951126, -1, 563557318, -1, 722818749, 937221807, 70598689, -1, 909563797, 612723570, 388075509, 415021259, 308227049, -1, 254944457, 681387701, -1, -1, -1, 858531470, 204643228, 705109961, 290337074, 752951651, 336314235, 34172024, -1, 767139349, 649525338, 887347500, -1, 551559093, -1, 620365875, 36773022, 450572985, -1, 787552017, 903305123, -1, -1, 247212883, -1, 956211407, 922665504, 510391875, 463489812, 964441574, 291776290, 391469176, -1, 903372923, 729247887, 472760668, -1, 413509998, -1, -1, 110850137, -1, 993342007, 544912448, 958423854, 860368155, 517079303, -1, 330141399, -1, 809200700, 704222961, -1, 999460748, 289612862, 21898560, 3154982, 883838465, 36095896, 106118091, 618766547, -1, -1, 806147207, 961254926, -1, -1, 427659889, -1, 603082348, 307418908, 529978377, -1, 614982087, -1, 498893817, -1, 615879499, 688304523, 589164391, 158261617, 227507678, 721699449, -1, -1, 82229735, 815564528, -1, 933540439, -1, 150265674, -1, 92953229, 454988188, 67250523, 782277867, -1, -1, 445331084, 723332132, 348934796, 347797129, 650435280, 81802128, 330778031, 270268684, -1, -1, 943080928, 549011944, 488333257, 776323847, 760627559, 228067378, 109878025, 717720217, 13082769, 825971318, 371362384, 961217189, 634299327, -1, 24114342, 842608565, 298921438, 509971291, -1, 769712981, 935263018, 249654222, 830518422, -1, 992142734, 369274225, 547183563, -1, 966738456, 718089890, 996424916, -1, 199425792, -1, -1, 901927641, 471361230, 292880239, 272618589, 613816465, 624742951, 180588, 949410400, -1, 181840307, 300087090, -1, 749121851, 404441409, 430932650, 249744410, 410222150, 831452303, 556998747, -1, -1, 993611979, 963134383, 737939324, 114407405, -1, 124500966, -1, 667296479, -1, -1, -1, 335537903, 123450775, 493776821, 632890541, 396492455, 361798651, 91439383, 384254861, 358392325, 547578476, -1, -1, 916475853, 135075327, 373534656, 178793816, 570258919, 238800517, 922756736, 584412807, 38623730, -1, -1, -1, 355338721, 735940021, 643218886, 786055759, 673730751, 77940862, 55613321, -1, 691452659, -1, 921857784, 405163823, 695282172, 589475341, 935700148, 944110531, -1, 505947730, 691303791, 719353131, 1169133, 634863507, 994182556, 611208864, 482422340, 633905508, 910991602, -1, 377735946, 830838552, 821293997, 286070124, 76300287, -1, -1, -1, -1, -1, 250693453, 539601244, 463656834, -1, 839311042, 518533529, 729443943, 576330095, 245854167, -1, 39970392, 520913626, 939210733, 680764342, -1, 417527363, 45670794, -1, 130268450, 158685601, 106500340, -1, 188436970, 605813071, 520436720, 425270477, 60787715, 878415843, 297109703, -1, -1, 51257426, 791838634, -1, 56615649, 601421063, 886668794, -1, 226617367, 30446093, -1, -1, 84117199, 336428382, 476425302, 806276603, 635269061, 976711131, 393512269, 398576752, 987047775, -1, 119124753, 6453745, 493464678, 816783271, -1, 438635213, 503999872, 658139834, 499887584, -1, 260436443, -1, -1, 640806241, 663688446, 540610780, -1, -1, -1, 783727675, 966635981, 642211850, 623910461, 519183197, -1, -1, -1, 575737187, -1, -1, 276535326, 100012586, -1, 871121016, 673702333, 888870759, 64322621, -1, 719148956, -1, 845628203, 762674576, -1, -1, 901188001, 504316895, 762120716, 652040307, 77745376, 406637575, 228304280, -1, 833035194, 255798696, 904594717, 541330552, 112780532, 331738, 651396462, 43943640, 916275643, 763142538, -1, 960570886, 444218311, -1, 853813495, 19618184, 360928061, 304091445, 22533429, -1, 404749660, -1, 457586273, 182379357, 71962566, -1, 459846456, 641679383, 449662645, -1, -1, 203887931, 18400948, -1, 431952138, -1, 18537168, 514762811, -1, -1, 696093938, 945379534, 825994408, 595334828, -1, 163906539, 766340976, -1, 953889250, 811192495, 489602600, 197443736, 935687297, -1, 804371038, 715514228, 44012038, -1, -1, 117134207, 69182071, -1, 900285587, -1, 115394421, -1, -1, 623366948, 623663456, 595135492, 808511325, 157894422, 732682524, -1, 255499422, 773884505, 525667000, 187143586, 975222211, -1, -1, 653270358, 343023485, 995711724, 490632655, 692368994, 768132063, 237513651, -1, 168580923, 315679629, 57166166, 449509544, 816509785, 267406732, 760825636, 720773152, 421047136, 461411850, -1, 499793835, -1, 611069179, 661667882, 367177361, 66048474, 899574872, 542341410, 620198256, 446050244, 769855260, 920774364, 672305655, 1514192, 966877338, 345807458, 355529632, -1, -1, -1, 245616733, -1, 211068090, -1, -1, 772230515, 926139307, 749383737, -1, 579589659, 312906500, 25337042, 784079498, -1, 694855289, 345395175, 828455339, 487023178, 907260979, -1, 772936432, 515338158, 466148012, -1, 446511380, 20558700, -1, 84692344, 484566570, 165492861, 846817533, -1, 860685168, -1, 793258314, 258399503, 803238343, 107078480, 695725937, -1, -1, 75667888, -1, 75036491, -1, 596209362, 10404077, -1, -1, 305314157, 852238042, 483207092, -1, 204604924, 45742555, 707967547, 148028882, 234977479, 414070853, -1, 5578475, -1, 163154795, -1, 364329660, 76847014, -1, -1, 853557745, -1, -1, -1, 835929852, 434823903, 361389262, 89392432, 264761866, -1, 769680436, 617165267, 171459090, 633961497, -1, -1, -1, 605793972, 220388877, 825060012, 541438434, 410931234, 808536960, -1, 852489797, 341263213, -1, -1, 183041313, 865052910, 381888154, 197969588, -1, 731816147, 338449336, 259349975, -1, -1, -1, -1, 777717602, 122628932, 656804350, 167592817, -1, 66645470, 306410703, -1, 429585331, 810944080, -1, -1, 421056405, 507224213, 96651934, 514551331, 688901027, 585862577, 137549826, 101328512, 733344452, 174310820, 938287338, 256677453, -1, -1, 989393480, 451893419, 6053335, 130396429, 686281283, 793081877, 823024184, 702016584, -1, 288524105, 195141907, -1, 694905210, 189564302, -1, 831081414, 519344894, 560077800, -1, 711010325, 718762421, 710980314, -1, 711430322, 330252631, 224223808, -1, 355844343, 988775742, -1, -1, 908016575, 855254324, -1, 103003064, 957666870, -1, 639053746, -1, 155840485, 910690994, 533301654, -1, 746064844, 423246565, 291214962, 192952843, 954239872, 222357876, -1, 563363441, 605660013, -1, 49342349, 248604585, 784007996, 216698593, -1, 443459834, 869646186, 351306900, 385383695, 752499355, -1, 517933717, 333174429, 590270815, -1, 728600099, -1, 939812874, -1, -1, 118214781, 5243694, -1, -1, 675772346, 909651951, 681587207, 28654889, 744722544, -1, -1, -1, 361634698, 865826953, 477389851, 593115657, 686235483, 790029130, -1, 140401395, -1, 350999033, 184584659, 941446749, 644205638, 287644265, 554713547, 7643158, 68172488, -1, 96941472, 262623493, 405241405, -1, 592076349, 928434880, 277635200, 292927370, 738447700, 573204323, -1, 292869727, -1, 536623112, 359805849, 264633442, 253022804, 512765297, -1, -1, 286988929, 273746976, 215369189, 889610026, 559293164, 871681754, 76400412, 513323191, 575496963, 935990929, 851785218, -1, 716622021, -1, -1, 999981484, 831764258, 728798211, 233250896, 915670035, 845886062, -1, 105718903, 125938540, 108732085, -1, 545596935, -1, 588698720, -1, 3829167, 993220180, 226432413, 632562881, 729177639, -1, 312668559, 344204821, -1, 4095221, 374424030, 258150489, 282013192, -1, -1, -1, -1, 873193308, -1, 474841217, 266264914, -1, 27494772, -1, 928736673, -1, 583922291, 74888170, 143541124, 426419945, 434136964, 863329131, -1, 353569746, 309172512, 762672712, 143306245, 987645983, 563546102, 485066174, 970507048, -1, 534481921, -1, 303005476, 393848803, 479891858, 375217967, 664046618, 385297206, 577924652, 433032491, 619668772, -1, 166713256, 818680139, 523978845, 94530436, 610638692, -1, 144724677, -1, 43730478, -1, -1, -1, 258855916, 975177668, 910525224, 740768636, 69453109, -1, 602880575, -1, 617432809, 808081830, 149722759, 124901451, 725801099, 791750896, 62566280, -1, 581461879, 794118445, 812360105, 544764831, 739296786, 335413379, -1, -1, -1, 280873233, 76916490, -1, 653705316, 999528684, 583467727, 166823279, 701525190, -1, 711659241, -1, -1, 520803345, -1, 337831663, -1, 466797050, 796914943, 530442786, 687659186, 235420562, 361562313, -1, 504699346, 83037422, -1, 591870158, -1, 545570077, 538163910, 487786580, 591554303, 374743697, 178540775, 261636029, -1, -1, -1, -1, 915486247, -1, 758283019, 131371448, -1, -1, 704747483, 890159337, 953021669, -1, 624806385, 659158712, -1, 300706112, 563280824, -1, 44280269, 748925361, -1, 312509884, 42871623, -1, 589886169, 996536372, 252909913, 357887006, -1, 95888404, 427136269, -1, 320896956, -1, 36728260, 889689833, 907395033, -1, 778221336, 112542808, -1, -1, -1, -1, 334732863, 128339856, 869573282, 600917749, 87748328, -1, -1, 553745935, -1, -1, 787268029, 74607435, 585485050, 147119283, 229795866, 835285621, 972128853, -1, -1, 935968338, 756776486, 40264678, 798333073, 131167823, 74758740, 384853274, 358391258, 113390794, 236387702, 638946236, -1, 389328305, 180887566, -1, -1, 400668133, -1, -1, 704961360, 157083242, -1, -1, 511571983, 321195931, -1, 182721195, 139585040, 762782419, 498233794, -1, 642781493, -1, 654066927, 268394412, 87120896, 566560081, -1, 624856103, -1, 770250658, 740931651, -1, 989522574, 575916733, 372699931, 403927877, 493846713, 496757529, -1, -1, 669487898, -1, 434992709, 878917916, -1, 861923176, -1, 876446201, -1, 653748121, -1, -1, 803586959, -1, 985179420, 284732126, 656543384, 535624589, -1, 973270861, 249036140, 793948761, -1, 371713482, 358897394, -1, -1, 451784095, 33366644, 632000064, -1, 831464415, 637066032, 468152811, 576162730, -1, 765542464, 197367813, 671607546, 688158093, 973456591, -1, 418118768, 979796721, 176313866, -1, 57405290, 401544711, 465740943, -1, 816991660, 314492624, 178799971, -1, 414041814, -1, 824228259, 262309043, 887074010, 255977416, -1, 159808859, 405927007, 84565906, -1, 299466208, 329631898, -1, 766827912, 616350734, 444403957, 663790392, 435737308, 580285435, 219977667, -1, 297597630, 42550253, 281767172, 839542164, 936155818, -1, -1, -1, 37225610, -1, 248686554, 139159024, -1, -1, 665690770, 658136066, -1, -1, 564595930, 147625921, -1, -1, 46694630, -1, -1, 726432965, 199338927, -1, 691679572, 42435234, 543472150, -1, 220762394, 506933446, 790254463, 980312569, 351919370, -1, 804752196, -1, 419374312, 994063846, 631764227, 344774356, 68270788, 473713317, 1737883, 648153490, -1, 467259144, 621984497, -1, 887943894, 365360507, -1, -1, -1, -1, 391198017, 699391697, -1, 535048518, -1, -1, -1, 312521776, -1, 933925793, 309719684, 543842662, 801198404, 29567712, -1, 981283767, 35379414, 197819317, 616838560, -1, 677646454, 965421987, 894307441, 655637080, 206036527, -1, 481745911, -1, 470227832, 49788794, 692855852, -1, -1, 463181365, 997337449, 562392775, 746154047, 734547100, 408972764, 423054814, 908366648, 221431185, -1, 754528645, 948498367, -1, 253487458, -1, 750993957, 906049374, -1, 178057806, 130908526, 207732519, -1, 749803265, 560862666, 560003362, -1, 897931364, -1, 426892931, 642815404, 555837528, -1, 864151866, 558846393, 317405232, 737902006, 402041581, 79685648, -1, 322959753, -1, 243656336, 443555661, -1, 491443699, 126728290, -1, 636279323, -1, 133391230, 512909486, 328174786, -1, 546371287, 436310215, 430654241, 107313380, 127029161, 349678470, -1, 104444818, 152022558, 580000580, 650082639, 333195945, 729831847, -1, 506405240, 47451072, 429770760, 865323977, 233445823, -1, 154310917, 652715634, 750173993, 660071025, -1, 90844238, 674063851, 955415082, 493414658, 292935773, -1, -1, 999279260, -1, 431294298, -1, 101925923, 838541909, 293240109, 902155388, 414580981, 743150752, 549198676, 350199603, -1, 956394040, 880460802, 744165092, -1, 95758889, -1, 468934606, 658842656, -1, -1, 140528994, 625631655, -1, -1, -1, 751340464, 766070106, 302870740, -1, 332984066, 785548323, 96560726, -1, -1, 898554865, 968406010, 626976276, -1, -1, 678135245, 669356529, 746274787, -1, 391858734, 458064596, -1, 172605739, 885708591, 415363297, 349926752, -1, 415778603, 731735305, 112693381, 192958534, -1, -1, -1, 565860840, 704108047, 908534935, 516890628, 179537229, 561203405, 423475682, 697892213, 32178748, 82159059, 45059740, 407437643, -1, -1, -1, 957867263, -1, 698874919, -1, 298129937, -1, -1, 860869879, 463425633, 62408123, 545493866, 341133815, 861678202, 230457364, 681974778, 257971239, 254942643, 514896308, -1, 763146645, 791009286, 497078805, 677287841, 266488265, -1, 222679268, -1, 441758085, -1, 815831013, -1, 229378878, -1, -1, 274464101, 96307504, -1, 339454798, 455363159, 268062544, 357751379, 511392167, 655381582, 468584656, 133686148, 586349618, -1, 520286986, 302022740, 264649108, 88326239, 19775643, 130564730, -1, 325927981, 281202881, -1, 22756843, 427186739, 771816077, -1, 203254748, -1, -1, -1, 861550355, 87050900, -1, 330151316, 288827472, 288840918, -1, -1, 685000997, -1, -1, 202706850, 826381144, 995100557, 818436003, 274759109, 728652849, -1, 323414450, 830594627, -1, -1, 527911204, 123583446, -1, 481606685, 725866408, 715759615, 400331545, -1, 706315069, 845296107, 597468398, -1, 361733905, 124618751, 563692787, 201740616, 795995319, -1, 678712117, 174290779, 760936904, -1, 501602489, 218892690, 234318317, -1, 803792746, -1, 143121436, 451768559, 886238597, 199820265, 979509369, 805349709, -1, 43269560, -1, -1, 810522987, 558301519, 329767055, -1, 420147053, 686863141, 468345997, -1, -1, 723045049, -1, 759609662, -1, 638077765, 506159286, 808786995, -1, 391090269, 650256354, 151052945, 543217355, -1, 582471469, -1, 148843489, -1, 861986260, -1, 988393879, -1, 746258626, 5807489, -1, -1, 341436706, 262750349, 486473032, 215508178, -1, 904451371, 984777685, 136851847, 128185228, -1, -1, -1, 685366554, 221866105, -1, 948927089, 988517772, 412120016, 917611069, 106140563, -1, -1, 473250109, 697621931, -1, -1, 446172600, -1, 700623758, 927932017, 988047318, 629183150, 218752110, 276277069, 555892955, -1, -1, 901917415, 484064698, 872746064, 774686274, 128638212, 548213286, 137585735, 729565336, 549235501, 749208858, -1, -1, -1, -1, 876251480, 225448494, 232333694, -1, -1, -1, 356207538, -1, -1, 666765753, 853709335, 629520839, 9977999, -1, 347952231, 842342373, 263634048, 114471253, 301469388, 946571816, 525479594, 485690876, 863002190, 385478528, 819356476, 34830335, 889684904, 364497067, -1, 669160219, 959808030, 513734489, 472976856, 952865064, 245237102, 52312099, 671771346, -1, -1, 936391264, 261807135, 183180926, 315314153, -1, 776886892, 782155069, 162927268, 456127581, 453472538, 999538334, 483151514, -1, 230783274, 393650388, -1, -1, 309501785, 254948291, 609106487, -1, 315549670, -1, -1, -1, 891237443, -1, 302557629, -1, 607350089, 322887530, 596647448, 729002118, 702223386, 981987385, 33536432, -1, -1, 508144414, -1, 990304004, 560138178, -1, 99574178, -1, 798004856, 324064337, 491668482, 182092055, -1, 181824174, -1, -1, -1, 176830700, 165884945, -1, 295793902, 526594823, 729155795, 413021763, 880909762, -1, 548199151, 603879468, -1, 3236422, 531693208, 100060793, 368959156, 598753744, 898373488, 770716126, 957570469, -1, 934753362, 117075346, -1, 984063222, 71661652, -1, -1, 442028665, 691812743, -1, -1, 65415424, 799596288, 707181804, -1, -1, -1, 414697738, -1, 924894915, 273713923, 639315965, 424228820, 218765460, 42278577, 989130867, 822643898, 386432856, 425485594, 914557508, 328535570, -1, 389413071, 647395653, 670985943, 376273463, 217963304, 797912923, -1, -1, 839706859, 526181500, 577276536, 219274997, -1, 277191424, 691189215, 321509529, -1, -1, -1, 238643897, -1, -1, 829308623, -1, 944470713, -1, 438192383, 876468631, 256362629, -1, 120934677, 700880721, 656392175, -1, 117034470, -1, 462240356, 712652001, 192378373, -1, 443751406, -1, -1, 609462902, 680925226, 563386728, 632178487, 63470897, 691452226, 242327477, 735906432, 107588900, -1, 366132907, 916077768, 858868680, 75938018, -1, 362972535, 840640194, 64959918, 647339404, 554433497, -1, -1, -1, -1, 20471517, 42705629, 869105706, 6286717, -1, 227034575, -1, 712559913, 184266636, 127047177, -1, 944001388, 739345627, 52451792, 692281976, 210853891, 845091235, 752226700, 392614178, -1, 39605162, -1, 891614500, 299218382, -1, 354629962, -1, -1, 26090095, 599190785, -1, 686314028, 824928884, 284455863, 816893020, 340670035, 715884336, 287375417, 943041129, 859876948, 859326769, -1, -1, 503934313, 713603460, 815932531, -1, 154793641, 873891377, 216210124, -1, -1, 919602116, 375101825, -1, -1, 226628095, 130646418, 769792442, -1, 410442324, 776033241, -1, -1, 445202767, 285395530, 964084140, 591111022, 642481099, -1, 64323560, 996017532, 642986691, 435817131, 398546466, 351752901, 341822890, 74109017, -1, 298391656, -1, -1, 697095515, -1, -1, 388795077, -1, 865046296, -1, 952352000, -1, 855204089, -1, 343846935, -1, 800299846, 276209017, -1, 939887484, 389579669, -1, 107246660, 271250474, 849512811, 223380297, 694270289, 880510609, 717452895, 850164857, 62312027, -1, 254247465, 809547818, -1, 755318256, 626502874, 366884382, -1, 569878250, 484558244, 311272134, 496049668, -1, 900132383, 543479308, -1, -1, 428648633, -1, -1, 311227371, -1, -1, -1, 820075533, 135322495, -1, 235510643, 162702443, -1, 782507921, 228280723, 876635056, -1, 656051459, 357313049, 361529316, 942765578, 416140568, 564010770, -1, 560510472, 600691625, -1, -1, 336723635, 115775593, 786914557, 646990400, -1, 425197321, 64642360, 309210808, -1, 986815754, -1, 813613297, 26297967, 242743232, 37963550, 146098945, -1, 945489457, 366497234, 904227163, 810435380, -1, 166736599, 76512515, 234839942, 335132728, 222080152, 424977963, 284535196, 382083682, 803185773, -1, 908247540, 344310811, -1, -1, 75021208, 449586576, -1, -1, 332207562, 245318433, 538178849, 334200627, 221617417, 908183243, 76949166, -1, -1, 87582509, 977238093, -1, 621940177, 590766444, -1, -1, 954567173, 165455164, 386909196, 404424979, 802835957, 902379454, 49046262, 285667790, -1, 188633380, 402299769, 454252183, 936306260, -1, 995512416, 369619883, 750079734, 357859136, 331918490, 725496804, 13263265, -1, -1, 164272127, 867787220, 955365026, 735782043, 483554702, -1, 586785796, -1, -1, 797315952, 996960223, 401988405, 719471598, 896239675, 459451150, -1, 165861879, 201527199, -1, -1, 384710933, 523704285, -1, 896665742, 384215020, 673419672, -1, 828008766, 166879788, 263926464, -1, -1, 134601160, 106206435, -1, 788561830, 290782874, 646239073, 582365836, 860452685, -1, 781333585, 315306133, 225979061, 109573147, 212564846, 927334083, 334541200, 280896999, 64800683, 959741293, -1, 269574183, 383513483, -1, -1, -1, 856909992, 555862498, 121280075, 481553151, 196489076, 416476972, -1, 182464154, 569228895, 224446123, 194396922, 77619117, 850138209, 372126697, 920090678, 788678516, -1, 746061185, 971473703, -1, 72113402, 484471417, 330683908, 505255326, -1, -1, 302764007, -1, 767148059, 752901992, -1, -1, 807717516, 746369694, 314313055, 633873692, 926784079, 947043173, -1, 355757123, 967332723, 319219390, 717878192, 60048691, 89289547, 832162283, 113653815, 82894025, 411304189, 464112778, 896811576, 623480651, -1, 68655798, 553439034, 14693044, -1, 404431860, -1, 446318192, -1, 971299532, 544397487, 783723003, -1, 724282624, 278735136, 765421956, 98860444, 583673257, 444496161, -1, -1, 708527551, -1, 559111134, 115221241, 387005902, 492350173, 579125804, 145886422, -1, -1, 380941249, 385432660, -1, 101052471, -1, 419949273, -1, 145275815, 231408017, 553401091, 225298307, 584155668, 764561940, -1, 273508856, 544180574, 987418693, 659522967, 468281014, 622867142, -1, 237947226, 434514243, 530532550, 779609607, -1, -1, 762444439, 77638682, 364154388, 857082902, 680964961, 806858941, -1, 558835883, 736594030, -1, -1, 3741120, 505157689, 227383904, -1, -1, 101289668, 400682741, 870543042, 561201960, -1, 687282843, 510720593, 771729014, 675523001, -1, -1, -1, -1, 623668146, -1, -1, -1, 172670205, -1, -1, -1, 603463763, 487440461, -1, -1, 367603657, -1, -1, 181765954, -1, 555604705, 247339093, -1, 892198862, 105675008, 592049987, 648282062, 100489171, 791227317, 615304826, 541405390, 410495159, 187438893, 855652033, 363174563, -1, 331766442, 66606385, -1, 695310178, -1, 900717594, -1, -1, 640496666, -1, 395492001, 342329302, 7280887, 549450631, 845184728, -1, -1, -1, 500626622, 824163571, -1, 703311653, -1, 210829893, 2978932, 637126607, -1, -1, 36324531, 253087628, 359779503, 551235053, -1, 949252450, 635722420, 933790656, 296714851, 989686582, 633150066, 82784607, 229196942, 188522669, 583761509, 175913565, -1, 540016376, 420849193, 213047306, 979119487, 185912477, 146031571, 953729960, 484661549, 270494706, 975725534, 326993262, 915950634, 405910817, 969390205, -1, 906252117, -1, 104090491, 513523757, 65964710, 354316691, -1, 548221963, -1, 375521853, 923999415, 824906354, 123034711, 722271811, 384365385, 368109416, 313868771, 602370304, 369281470, 295778715, 142667216, 94693677, 684860397, 97271139, 193665513, -1, 108767493, 915201054, 961306618, 537897650, 767463079, -1, -1, 346130721, 732647698, 622728204, 507526987, 611701846, -1, -1, 920320684, 762744879, 534281915, 458715152, 274289700, 599819997, -1, 284281500, -1, 10033890, -1, 218867621, 746734206, 437047872, 121321022, 782156045, 619588532, -1, 832310737, -1, 834616849, 343255590, 455912267, 921665652, -1, 41641819, 921238895, -1, -1, -1, -1, 890271246, -1, -1, -1, 742946516, 648656370, 762784086, 43570265, -1, 395884916, 784025047, 165179150, -1, -1, 38888891, 124022709, -1, 982201269, 340186795, -1, 105946453, 833459313, 145126607, 453001866, -1, 286979571, 405479163, -1, -1, 994618021, 12679223, 406324971, 346468154, -1, 864485733, -1, -1, 715003100, 459581995, -1, 910241309, 613518898, 811177451, 711508746, 895980983, 934861654, 389543811, -1, 716141262, -1, 4227149, 663469847, -1, -1, 160228754, 544313348, 361031707, -1, 81965939, 525801608, -1, -1, -1, 284715854, 58319835, 855014844, 882327050, 890847766, -1, 532341026, 337371498, 910403293, 545894704, 226205502, 68895553, 501297698, 59133207, -1, -1, -1, 500103159, 150393493, -1, 264238653, 220876810, 769891550, 191628632, 239812689, 554213637, 853553154, 807725954, 938727740, 78292902, 298689031, 911550252, 302547369, 977934098, 360963095, 877867498, -1, -1, 879730692, 498618967, 243956970, 924879525, -1, 529644019, 356499556, -1, 719189778, 339112076, 23410237, 389135179, -1, -1, -1, 602056925, 845017020, 250056203, -1, -1, 494051139, -1, 720236436, 66852841, -1, 443430871, 566064313, 764506013, 443151872, -1, 819978255, 603103363, 475261569, 369409301, 640099608, 628439060, -1, -1, 721935387, -1, 729843611, -1, 691260790, -1, -1, -1, 526231609, 782767081, -1, -1, 419891042, -1, -1, -1, 586557602, 291945871, 291389761, 991616606, 499078838, 919326862, 507486954, 432002001, 606473293, 16662692, 808131335, -1, 563530044, -1, 225970652, -1, 884922218, 193223961, -1, -1, -1, -1, -1, -1, -1, 714238597, 105145438, 247297541, -1, 968306157, -1, -1, 453118692, 870496458, 714863085, 821704539, 141208025, 846850669, 775875425, 547195419, -1, 912588673, 813082572, -1, 637471838, -1, 749808831, 984732071, 813157429, 469398817, 3033861, 350932900, -1, -1, -1, 185626955, 390098431, 624468002, 872311678, 606850685, -1, 583318159, -1, 283629786, -1, -1, 311330004, -1, 867660620, 483098134, 993944774, -1, 348410350, 148789984, -1, -1, 835282265, 305382841, 142539910, 234949786, 759296393, 731749357, 941704535, 730749196, -1, 537950139, 119761668, 587310822, 399292596, 243006501, 475207216, -1, -1, 289256348, 267847373, 694920316, 978560537, 433153378, -1, -1, 163935530, 910675471, 340960353, 323276819, -1, -1, 893538749, 296903572, 194425390, 790631181, -1, 860251041, 285229680, -1, 831376261, -1, -1, 802956100, 646913075, 620090594, -1, -1, 127311174, 510366406, -1, 789058919, 322024083, 596741162, -1, -1, 114543072, -1, 568170478, -1, 653239072, 701440393, 784679569, 937308149, 935579485, 235765089, 383660243, -1, 307918605, 470586298, -1, 860552494, -1, -1, 913437204, -1, 61607616, 811784630, 866122002, 136233069, 868703301, 531769127, 849016072, 45085940, 726343866, 700501183, 302818149, 560880225, 441992272, 823416522, -1, 71025690, 32138764, 433137196, -1, -1, 419267006, 604378283, 752945745, -1, 406146494, -1, 860751305, 49917207, 82494080, -1, 768307310, -1, 648942417, 561032151, 713918109, 141728390, 285378143, 726230495, -1, -1, 527503990, 168567, 61336306, 380717568, 756188541, 975117997, 511792426, -1, -1, -1, 900040643, -1, 132086421, -1, 320801163, 107126043, 924211295, 417680286, 59596871, 823331914, 458108887, 746310381, -1, 623518345, 81069464, 388593134, 487325521, -1, 149335084, -1, -1, 145661324, -1, 963961158, 218420656, 975030529, 709068560, 268575866, 919335405, -1, -1, 700600252, -1, 367856144, 671954621, -1, 39708757, 591767089, 730386298, 295846801, 255266151, -1, 338525866, 515331320, 667073206, 654315168, -1, 230831068, 952288986, 559266648, -1, 148148936, -1, 194658905, -1, 122905228, 201408432, -1, 470343038, 286161957, 994619518, 640140267, 761441500, 734104065, 547949612, 384115711, 80461400, 716420380, -1, 701537855, 582614696, -1, 451570742, 299080812, 411439641, 431310682, 922113201, 431993973, 430085206, -1, 134839208, 130201426, -1, 803850548, 257199283, -1, -1, 865225463, 239211926, -1, -1, 130731650, 761183622, 829548976, -1, 371393489, -1, 817310992, -1, 146256110, -1, 865530022, 741174727, 137729721, -1, -1, 179020970, -1, 570401839, 430619727, 206139699, 396468941, -1, 188010318, -1, 319179407, 964725871, 888767129, 43759377, 356766578, -1, 200639967, 471675745, 21851224, -1, 377052942, 544019583, 328238001, -1, 688851418, 931846989, 549442811, -1, 293443445, -1, 871541811, -1, 621504740, 234962208, 225189009, 724460018, 177126760, 744802, 110875589, 447331066, 686905586, -1, -1, 377623044, 999604112, 925551641, -1, -1, -1, 121636310, 917442815, 548414757, 629805272, 558558593, 418501840, 812813214, 925446521, 909145874, 680234569, 854190733, 750520171, 162862076, 41773175, -1, 911571772, 709840491, 316220027, 337704294, 847531164, -1, -1, 190739689, 922727683, -1, 66676911, 584998905, 241368102, 300571557, 22506964, -1, 597344716, 862910362, 396887855, -1, -1, -1, -1, 113582019, 42438735, -1, 272881114, 804433672, -1, 185081379, 736521118, -1, 80898452, 895919035, -1, 754160506, 384584236, 569012969, 303689565, 93073351, 306048909, 503731897, -1, -1, 144840853, 506250781, 811066820, 423804303, -1, 758278078, 124991433, -1, 982529986, -1, -1, -1, 303555686, 933546388, -1, 277900389, 497288689, 653175124, 341181534, 711574332, -1, 709896906, -1, -1, 644894196, 86539657, 606181527, 455481135, 726769959, 801880523, 121505528, 289592624, -1, -1, 976951605, -1, 914384967, 979323562, -1, 428409106, 762616261, 947411616, -1, 766422134, 689042364, 793196738, 357254809, 213299079, 33604327, -1, 107320868, 583133943, 421337859, 795434467, -1, 871710347, 562533861, 836164132, 37344131, -1, 429798939, 168957236, 969210800, 291925261, 664075473, 583871989, 309807481, -1, 173936855, 802735228, -1, 950289009, 826360201, 915870869, 190250095, 985430983, 586931596, 507664562, 41628000, 55826291, 910192126, 501054864, 338122403, 184435666, -1, -1, 33764682, 41874979, 186121695, -1, 500671030, 618443235, -1, 394589118, 50626190, 383759250, 960428083, -1, 226374808, 445100200, 6685881, 178680222, 910901532, 285720462, -1, 598181641, -1, 862066718, 841938932, 517914407, -1, -1, 47538854, -1, -1, -1, 321020200, 767221178, 368223719, -1, 912594266, 879878161, 332288292, 50720831, 22374437, 36790058, 677196648, -1, 100860634, 199839264, 476925599, -1, 975944782, 777354814, 327368956, -1, -1, -1, 182294865, 890095117, 258335225, 762775135, 490049212, 808533877, 365056415, 437382719, -1, 188177510, 240344495, 611258262, 604895835, -1, 983687313, 619909188, -1, 277348985, 709987719, -1, 631599012, 699249380, -1, 256799222, -1, 355242664, 705583860, 226856355, -1, 433521398, -1, 114904241, 302149379, 748442565, -1, -1, 62635669, -1, 503466083, 253802068, 484242141, 136079314, -1, 171630943, 54281416, -1, 346171657, 433286353, -1, 653787829, -1, 490691890, 847503244, 445296446, 957177923, 144662977, -1, 237710912, -1, -1, 24429866, 1509927, 70871530, 729018674, -1, 405870792, -1, 862600163, 463546720, 26062522, 890376725, 557316140, 652552481, 340770055, 254517953, 845308536, -1, -1, 434922011, 340220845, -1, 263953775, -1, -1, -1, -1, -1, -1, 697235005, 104150330, 748729364, -1, 300360714, 624858706, -1, 922868879, -1, 854655592, -1, 872029470, 660609822, 910090852, 761226932, -1, 210051899, -1, -1, -1, -1, -1, -1, 378485207, 32057694, 14524566, -1, -1, -1, -1, 707228124, 193924810, 392291261, 426431731, 705911281, -1, 592166213, 282058253, 105150699, -1, 964356019, -1, 153431289, 748324611, 576183431, 385871201, 45566060, -1, 921558391, 688522170, 219838445, 157255472, 587162612, 520951190, -1, 252266594, 454168085, -1, -1, -1, 239325495, 467510720, 777840361, -1, -1, 799628736, 133928658, 834800840, 42177707, 80335786, 526844640, 998457144, 765602616, 52506741, 648943351, 751291161, -1, -1, 973753044, 972139571, -1, -1, -1, -1, -1, 183948719, 225334395, 346008805, 339514063, 909342396, -1, 620238000, 669350689, 731007236, -1, 457836460, -1, 970233432, 739006112, 649944831, 164867721, 177270552, 320082543, 930998563, 830889445, 519524256, -1, 459226894, 215726634, 336356247, 935880973, 952139077, 394521728, 383356486, -1, -1, 268493186, -1, 989739160, 143749233, 255726706, -1, -1, 391912511, 710833206, 377260856, -1, 949624177, 788435503, -1, 421636901, 707799315, -1, 474008748, 721324195, 262754343, -1, 112876106, 421582074, -1, 499967848, 961076879, -1, 559000216, 80266558, 476793283, 992034787, 563932118, -1, 555401443, 26523948, 949815508, 581367963, 680452427, -1, 567069661, 72989491, 698515317, -1, 254320160, 183924218, 218812341, 218038242, -1, 796720072, 541157979, 151022328, 920353707, 122979737, 289070592, 677175367, 942099686, 849060840, -1, 489016830, 349751379, 866498183, 854490488, 840286982, 881888699, -1, 372863989, 893607480, 756270363, -1, -1, 558859464, 959570969, 188743508, 54200129, -1, 128154479, 493020610, -1, 932249404, -1, 352990821, 752104794, 109678800, 812205449, 99732268, -1, 93436315, -1, 645291357, 704037108, -1, 516144501, 783073061, 910482782, 252085704, 877586502, 318366525, 111251055, -1, -1, 767943264, 708614046, 63074228, 48909014, -1, 565007527, 678551668, 288592735, -1, -1, -1, 24908607, 973923609, 181305117, 107772529, 104992110, 734891825, 656152153, 994380614, 184715047, -1, -1, -1, 251247181, -1, 624934224, 415243404, -1, 311897159, 879017303, -1, 330897753, -1, 186859873, 374511222, 138299353, 967136904, 928565734, -1, 413447583, 255391404, 621474083, -1, 651612334, -1, 267009609, -1, 236285002, 592131172, 351739481, 46717256, 171888683, 169108496, 626091344, 144812024, -1, 363829926, 862550429, 116258322, -1, -1, 508992919, -1, 756670702, 725810703, -1, 769036702, 715938550, 85871508, -1, 379983844, 96628402, 891689618, 777250812, 22823007, 861782187, 387519740, 725466616, 623558449, 442100509, 469610939, -1, 436591367, 492222750, 102804079, 331134232, 870308808, -1, -1, -1, 793600480, 878905933, 389827834, 953192944, 999657378, 25704359, 25103721, 472627710, 859651012, 341426228, 624350760, 681967294, 190735030, -1, -1, -1, 618431223, 611440633, 28318921, 607065179, -1, 304824890, -1, 523206974, 250448279, 61427810, 226524898, 996564633, -1, 747513997, 908642987, 791595067, 589919948, 730121800, 857632624, -1, 425971770, 129657048, 604769066, 947509644, 258354978, 372748843, -1, 382572742, -1, 149895089, -1, 399829845, 549577792, 698466387, 707813148, 635121264, 225009648, 928759634, 814474209, 915202002, -1, 560959058, 874593798, -1, -1, 398391213, 927392913, 458421017, -1, -1, 893257531, -1, -1, 101687530, 208435468, -1, 458386657, 333618869, 768671206, 608702995, 805811107, -1, 475398332, 897127840, -1, 930120265, 476677019, -1, -1, 129146897, 165451004, 396568947, 647067170, -1, 175955271, -1, 226419550, 11098964, -1, 435702119, 437408027, -1, 582173426, -1, -1, 84992101, 190192944, 483164041, 807947151, 24927777, 672492600, 83768085, -1, 426659252, 770731465, 493456091, 906448542, 200689373, 121582591, 346333197, -1, -1, 483851323, 563988900, -1, 31229264, 994634161, 401559374, 701367493, 357562840, -1, 936628609, 437870782, 207793315, 46620313, 655426747, 110851129, -1, 493560913, -1, -1, 440123973, 388014998, -1, 541630164, -1, -1, 740019548, 122570901, -1, -1, -1, 848804566, 11207748, 234922267, 304231397, 463776663, 871282513, 637924084, 319899888, 377864792, 958753501, -1, 610409236, 353247014, -1, 679218376, -1, -1, -1, 692305140, -1, 274108247, 113571382, 321253738, -1, 865674563, 387049406, -1, 472849974, 432842923, 380005087, 123765425, -1, -1, 751714999, 832852108, 237601881, 527262274, 589920372, 788614573, 961604801, 752989889, -1, 884926219, 842125638, 190738246, 294501437, -1, 86585942, 44021182, 695003940, 409086355, -1, 55252796, -1, 455202438, 806315913, 528419092, 388111691, 411836202, 558822836, 907535350, 952903693, -1, 433936859, 831765997, -1, 880366598, 3670978, -1, 809102556, -1, -1, 500889665, -1, 422398265, 542255551, -1, -1, 309238812, 376040601, 164797155, -1, 739875207, 848656221, 242038040, 759318261, 438334748, 427524686, -1, -1, -1, 823339476, 516337740, 355141431, -1, 693601059, -1, 235762453, 74235115, 839210121, 457638041, 391173378, 721199683, 166874443, -1, 914367206, 854377997, 897299330, 503216256, 904441892, 27047826, -1, 835511257, 58318363, 52217012, 612088879, 821385969, 744833586, 453591695, 953609446, -1, -1, 865071744, -1, 315990102, 295547652, -1, 953088554, -1, 542325012, -1, 47734741, 255409615, 863606780, 340855344, 151571994, 443740469, 435088962, 633731865, 627296843, 965521272, 834908330, 371026321, 38058704, 266058490, 793564374, -1, 634999349, 592786108, 916192226, 411618692, 456187181, 533554781, -1, 950612381, -1, 55067838, 294403384, 801961440, 650830314, 551259776, 169935008, 406800627, 445996327, -1, 357697033, 345817598, -1, 666929781, 702728902, 42586126, 987651559, 333127623, -1, 491822775, -1, 100480633, -1, -1, -1, 546673302, 293832848, -1, 958092689, -1, 780643759, 843210641, 496637219, 158467054, 910348229, 768766645, 637324143, -1, 602874052, 291593128, -1, 137356104, 188910697, 17184406, 880956557, 862623399, 919616827, 166773797, 385511026, -1, -1, 160340385, -1, 614376412, 923005199, 934415310, -1, 262029531, 657120340, 223942509, 313334310, 880195161, 326678013, 702162658, 472059064, 582488598, 813731444, -1, 677402305, 204950992, -1, -1, 125831264, 102434420, 105107741, -1, 764182836, -1, 993255947, 378544821, 752558378, -1, 333673666, 190508626, -1, 442024808, 896430999, 132223827, 800662329, 476510250, -1, 700046103, -1, 144513133, 916815648, 601287768, -1, 109607913, -1, 380197179, 135604026, 219190952, 580233427, -1, 222564218, 147847371, -1, -1, 342092245, -1, 361131422, -1, 9453961, -1, 931868197, -1, 825016978, 585917112, -1, -1, 705444464, -1, 622980527, 536594254, 205178443, 238011272, 67310196, 501004753, 455591137, -1, 740974179, -1, -1, 59687071, -1, -1, 235134069, 114635676, 9704053, 971765534, 808702468, 133409108, -1, 925991907, 2989891, -1, 122249478, 500794084, -1, 148338466, 970300507, 996630795, 626642390, -1, -1, 196094153, -1, 972343239, 309272558, -1, 914840914, -1, 724544503, 721470973, 127263717, 628358496, 227798014, -1, 795711359, 880232139, -1, 685709726, 416576270, -1, 490917695, 373727080, 796404994, 490165462, 654307518, 945375671, 319140464, 654776811, -1, -1, 989361785, -1, 57476649, 382244769, -1, 344764926, 259781743, -1, 367398686, 941722495, -1, 716859574, 234469651, 991793106, 224766864, 118168645, 697735159, -1, 880279646, 455037277, -1, 495064242, 642929095, 703130434, 533582480, 820449271, -1, -1, 745054589, -1, 663225412, 546349331, 199321124, 776808195, 466019295, -1, -1, 75283803, 620597363, 268139457, 143933590, 574569262, 383591569, -1, -1, 140990596, -1, 303871344, 73071924, 477891671, 599040599, 514180911, 540648214, 757340826, 457822222, 916641920, -1, 438998698, 389772880, 540567007, -1, -1, 283445304, -1, 31350554, 512734607, 667556319, 990629409, -1, 666368992, 132099857, 337962026, 678721720, 938509550, 671742029, 586086298, 537703586, 449069637, -1, 27575280, -1, 694201484, -1, 573622020, -1, 494833899, 460561791, 469311324, -1, 596754259, -1, 661717796, 511446392, 794900245, -1, -1, 804143061, -1, 910824998, -1, -1, 886998122, 439068677, -1, 97858127, 802896632, 229135526, -1, 806081098, 231277377, 743672677, -1, 356359138, -1, -1, 25640635, -1, -1, 495641429, 207979816, 295999305, 686868712, 577092990, 250072127, 267228760, 45572346, -1, 498250251, 998579393, 625070163, -1, 279481399, 972575611, 294346344, 169920978, -1, 967121821, 28819781, -1, 959495720, -1, -1, 147876790, 145048834, -1, -1, 346781982, 392672709, -1, 683523495, -1, 791184756, 977793725, 413349376, 606358224, 164668658, 843527024, -1, 193890254, 323879597, 284717381, 716210553, 403817515, -1, 672279715, 65101761, 121194642, 29690494, -1, -1, 539453012, 964324323, 29647998, -1, 858394249, -1, 834503372, 177250962, 829447994, 64562512, -1, 366818781, 676802583, -1, 4737873, -1, -1, 78090620, 57504370, 469037749, 820542158, -1, 753326015, 985191799, 163525387, -1, -1, -1, 169153097, 811594922, -1, 148612155, 984085392, 400126111, -1, -1, 605956914, -1, 761520496, 137929640, -1, -1, -1, -1, 628671395, 480236894, 254109017, 576055803, 811072420, 467211175, 290778738, 141844261, 831529847, 868981200, 787001369, 956226790, 3758713, 211882015, -1, 880837991, 845932499, 290365747, 126484501, -1, 250307462, 623579221, 72922952, 15602352, -1, -1, 93888011, 646201005, 915930487, 968534198, -1, 860515664, 681167266, 88266, 578797582, 226187891, 242760027, 400319294, 169038088, 580785124, 855151960, -1, 571263556, 774686946, 798004459, 474855895, 630921952, 739364897, -1, 713441057, 52359144, 459899972, 980096114, -1, -1, -1, 852056660, 707055708, 18845597, 320046408, 355418975, 264685792, 779092012, -1, 178298431, -1, 120702590, 990327125, 253033357, 610655631, -1, -1, 227326685, 222936118, 461362301, 113908893, 381924336, 484472695, -1, 748907971, 924016598, 925592953, 315910201, 752206530, 778858058, 615855717, 750378192, 970247308, 578955659, -1, -1, -1, -1, 871077020, -1, 414250035, 509049104, -1, -1, 302923142, 717987169, 979046762, -1, 586084084, 607095568, 468772584, 566969926, 407315197, 897303833, -1, 991413254, 115743323, 400661033, 998149142, 603808028, 279189100, 379871662, 793871735, -1, 113355550, 469989338, -1, -1, 789959932, 693850248, -1, -1, 749563834, 231642185, -1, -1, -1, 536750198, 181510227, 176400034, 680423055, 530140474, 993839762, 102713359, 469285172, -1, 186915161, 202981632, 430246785, -1, 310057339, -1, 935863509, 854197637, 464418417, 697264420, 641034441, -1, 374815906, -1, 343405623, 371953520, 323228250, -1, 858891023, 541571692, 733590368, 275847378, 155064154, 124787371, 232380033, 256921278, 483130036, -1, -1, 866874354, 498635728, -1, 170232091, 356122099, 878238051, -1, 581539551, 737206395, -1, 692051011, 784409173, -1, 501169664, 556158014, 421401222, 255383217, 180512533, 578711164, -1, 369318659, 958762774, 200600885, 492416022, 828033653, 162500412, 705761367, 850702690, -1, 505998835, -1, 465824670, -1, -1, 526240200, 876229630, 43750170, -1, 603073034, 313743283, -1, 396931625, -1, 990790220, 805346157, 450834523, 173437140, -1, 743967014, -1, 704542532, -1, -1, 20344090, 631672984, -1, -1, -1, 640688335, -1, -1, -1, -1, 94117043, -1, 298257619, 861237508, -1, 813201212, 513269101, -1, -1, 988238940, 205249836, 716367760, 79558919, -1, 538898623, -1, 778005676, 518481368, 350072891, 900448677, 751807687, 877057321, -1, 935991315, 278044303, 428476479, 235726691, 440878515, 538728564, -1, -1, 2094075, 175655611, -1, 94730016, 669338048, 329575327, 977606473, 182411522, 113060040, 793774534, 46701046, 881214793, -1, 446024243, 512735496, 506981757, -1, -1, -1, 488285004, 445853963, 474296791, 419259014, 296933802, 864678555, 38456791, -1, 270161749, 221285049, 777387225, -1, 949078524, 452478401, -1, 853531800, -1, 75230130, 189284748, 652761356, 302791900, 997652434, 936508077, 255519119, 708456131, 793645796, 679623130, 784885338, 567830386, 836715834, 106379034, 348397336, -1, -1, 940352371, -1, -1, 355832344, 104753354, -1, 473037577, 552406060, 229885065, -1, 928608678, 918848442, 757788967, -1, 254957628, 498950557, 568422776, 332108148, 993682358, 353543804, 41616693, -1, 246261874, 258762069, 833759012, 258343110, 455730287, 102254719, 899238528, -1, -1, 313676640, 568570368, 701438201, -1, 89899222, 995138977, -1, -1, 377615860, -1, 510481062, 112668770, -1, 405730371, 367070698, 567957370, 1698413, 954232937, 295714336, 883768372, 633074325, -1, 967145691, 887238160, 840968053, 205628630, 58612454, -1, 486717847, 963328917, 783409018, 501164026, -1, 152730912, 83860612, -1, 448344046, -1, 165583062, 308463277, 207888591, -1, 874786543, 854202115, 506960179, 84857643, 642942859, 932577890, -1, -1, -1, 836542274, 244429980, 795106912, 910923849, -1, 467982286, 732018061, 407211475, 908007593, 540030402, -1, -1, 27340431, 803565160, -1, -1, -1, 228004702, -1, 683558407, -1, 396714908, 29294947, 542587863, 45885735, 251992391, 188303350, 975773687, 529698903, 275138220, -1, -1, 434129971, 146770464, 485087617, -1, 404291867, 650793963, 38903234, -1, 699991056, -1, 495950214, 578779648, 170895592, 457929579, -1, 405374749, 633120934, 113590022, 916381641, -1, -1, 2693767, -1, 506944397, 208584259, 46952346, -1, 706792999, 545136141, -1, 866782805, 997951643, 765324470, -1, 357545646, -1, 948616936, 386134733, 150367359, 751005119, -1, 584033056, 878814607, 205068853, 823251834, -1, 460727826, 935479328, 82955536, 523287615, -1, 554422987, 683685538, 779614394, -1, 11956757, 82906143, 443681530, 867457499, -1, 968326934, 720287056, 716056732, 153769140, 881365931, 35153299, -1, -1, -1, 665902325, -1, 126225824, 621669836, 840037964, 295110746, 633536818, 568363340, 889776983, -1, 850117135, -1, 57949462, -1, -1, -1, 502137800, 97706734, 144955332, 549008265, 742593217, -1, -1, 78663224, -1, 400355104, 520636779, 540602215, -1, -1, 508558959, 172676218, 687063665, 616442222, 488033315, 805732768, 972636040, 371559858, 390660358, 595473298, -1, -1, 776168903, -1, 492054551, -1, 645594684, -1, -1, -1, 549829365, 155127187, 169577759, 810473055, 347384976, 223894844, -1, 891270516, 412770564, 227924670, 579544465, 329655802, 701345956, 52254290, -1, 664060213, -1, 486838249, 397136343, -1, 518142604, 295969665, 94613518, 832559533, -1, 902596633, -1, 26215279, 159300896, 321773960, 922853870, 7479397, 806424271, 802891624, 597566379, -1, 872876709, 952406796, 916684062, -1, 520845741, 584718625, 410390843, -1, 779265998, 921776083, 511579045, -1, 152153811, 607287262, -1, 531660493, 8699504, 911274054, -1, 331277718, -1, -1, -1, 15068048, 846407139, -1, 785797668, 227997011, 65495105, 842508304, 964740426, -1, -1, 889240010, -1, -1, 672981042, -1, -1, -1, 706684214, 703007795, 570594621, -1, 332062876, 619012240, 938104087, 405948802, 775280111, 801345189, 707869959, 843381984, -1, 837202105, 819419249, 673749481, 991574095, 316705879, 928282733, -1, 699234863, 21403237, 317076802, -1, -1, 913891167, 298622352, 549913596, -1, 822351723, 516732835, 926492175, 93682104, 460776474, 620161656, 993847487, 997450600, -1, 26241534, -1, 682922847, 374210028, -1, 292096790, 917054755, -1, 640889091, 386252020, 179718582, -1, 114579153, -1, 968305862, -1, 700099841, 270983865, 539211628, -1, 518121114, 288747614, 319159459, 731417718, 150608752, -1, 97677771, -1, 690307992, -1, -1, -1, 804631210, 422098905, 197409611, 81348189, -1, 321234387, 625209119, 465955647, -1, 211382884, -1, 325333251, -1, -1, -1, 104585025, 860966071, 602987448, 789982090, 409997632, -1, 618460102, 741154980, -1, 290376054, 972773110, -1, 945559991, 535494114, -1, -1, 124084144, -1, 432825030, -1, 263463925, 657779819, 757668209, 119282312, 72269619, 152283005, -1, 227025109, 419560606, -1, 985631877, 61524043, 47743049, 809804860, 112895780, 750121408, -1, -1, -1, 580060123, 296486916, -1, 804313538, 666114629, 804510159, 997157271, 752831967, 765754657, -1, 889520562, 587731445, 686571653, -1, -1, -1, 506645365, 169030465, 949782543, -1, 580629210, 687528432, -1, -1, 238827347, -1, 300425355, -1, 32422302, 46361192, 162650571, -1, 950333135, 54066643, 24121244, -1, 623161769, 178854846, 963660724, -1, 153397891, 11475900, -1, -1, 705430799, 937459857, -1, 727815995, -1, 237253063, 857930873, 869663124, 554078296, 911518632, -1, 50472621, 294805414, 15614368, 187116358, -1, 224931428, 698726534, 357529508, -1, 202187284, 870131540, -1, 473681901, -1, -1, 600103112, 457207888, -1, 133605433, -1, 352089217, 828999844, 779884845, 174091360, -1, 165339043, 660643430, 668724072, 253031546, 125385285, -1, 72849961, 534270614, 570951157, -1, 433600250, 784505723, -1, 414908061, 146569264, 556676285, -1, 156492610, 156731555, 187466207, 825438298, -1, 54756990, 821215142, 903710708, 327059112, 236636563, -1, 237932215, -1, 286544201, 375178331, 961376374, 997082529, 372977885, 790015175, 607974990, 494643279, -1, 134908481, 944391901, 958996221, -1, 378687510, 71133740, 480965695, 860772052, -1, 399004824, -1, 187753138, -1, 445032210, 833409791, 245844334, 889864685, 411608582, 561798863, 238073446, -1, 781827649, 257909618, 437539830, -1, -1, 746373895, -1, 384314748, 160273553, 215793583, 357501687, -1, 294793617, -1, 216663956, 931461315, 77161484, 301957898, 975897048, -1, 64155356, -1, -1, 175354535, 296626804, -1, 109343907, -1, -1, 218084977, -1, -1, 934074031, 465047284, 958184742, 455982935, 100237925, 864586176, -1, -1, 196029267, 794580786, 690025616, 389213372, -1, 288019566, 947689005, 129387616, 647963254, 168438375, 815397243, 757450385, 780289890, 804388871, 632752226, 318973188, 586365178, -1, -1, -1, 880488290, 998333096, 657823731, -1, 696253117, -1, 642571116, 629452788, 237751458, 89094462, -1, 792508027, 807318223, 332551522, 180830171, 245629505, 795285910, 628771210, -1, -1, 440784134, 461280810, -1, 333479473, -1, 598376916, -1, 890775729, 327314152, -1, -1, 288924796, -1, -1, -1, -1, 728690719, 986766874, 52368488, -1, 477232296, -1, 959454583, -1, 609645163, 868363053, 524469629, 923531569, -1, 127367109, 396875613, 543840748, -1, -1, 606047345, 906016812, 909007036, 970632940, 381189479, 48007905, 113550564, 446195708, 305563734, 379329280, 846725481, 159426652, 856388711, -1, 261691031, -1, 605906158, 761250298, 847521485, -1, 87860248, -1, 893264476, -1, 136372694, 424973312, 902436701, 363703372, -1, 498266095, 14833498, 172541837, 246622741, 861241397, 918101369, 68905550, 841987636, 453423630, 18230945, -1, 698669703, 523421740, -1, 222445001, -1, 795251317, -1, -1, 999066030, -1, -1, 918366629, 793225756, -1, 849266426, 837275596, 958057519, 897045606, 240225053, 702446772, -1, -1, 468853530, 937382026, 751411391, 242111574, 728191414, 866143958, 196045061, -1, -1, 677569563, 981537201, 90248876, -1, -1, -1, 362673635, 78638371, -1, -1, -1, -1, -1, -1, -1, -1, 194420523, 592288465, 307973950, -1, -1, 17721186, 160019792, -1, 752481768, 495804053, 510040774, -1, -1, 962716434, 14944776, -1, 241425150, 851160578, 808245605, -1, 177401912, -1, -1, 184474256, -1, -1, 924725862, 98881606, 690750571, 611730260, 67988951, 254566898, 876472144, -1, 699215112, -1, 429186711, 903223053, -1, 710508663, 621750321, -1, 588743045, 930701741, 4160578, -1, 440992287, 649287390, -1, 98023531, 602850205, 210704047, -1, 538546892, -1, -1, 772866668, 560604647, -1, 758875807, 465376243, 704876222, -1, -1, 727242993, -1, -1, 350579001, 453328207, -1, 174303789, 743191912, 818606714, -1, 380723801, 838404937, 228725120, 119656769, -1, 602725065, 537301019, 581654328, 546210825, -1, 828938964, -1, 38833055, 421273101, -1, 463910768, -1, -1, -1, 931687372, 597693499, -1, -1, 801101084, -1, -1, -1, 595556122, 400832682, -1, 509995175, -1, 418523075, -1, 581687948, -1, 602517441, 257685275, 793758602, -1, 315793833, 19712870, 439209286, 514204338, 96414776, -1, 563451909, -1, 732196826, -1, 608735906, -1, 179132544, 966656191, 610552313, -1, 460677032, 554817840, 836353159, 92181075, -1, -1, 976132311, 906056466, -1, -1, 748269372, -1, 909375849, -1, 27729290, 997535618, 644152176, 788454691, 450217128, 679263217, -1, 615128179, 881999005, 65658005, -1, 920587061, 579318488, -1, 163423247, 125392793, -1, 529763991, 395101513, -1, 980157436, -1, -1, 726244795, 241394230, -1, 790586782, 988236844, -1, -1, 261818780, 622973296, 118474360, -1, 443072837, 94518468, 675308679, 479050138, 380566564, 325634827, 374490769, 351366620, 27895556, 313951617, 672996321, -1, -1, 546828929, 110121201, -1, 536525199, 417250419, 226655786, -1, -1, -1, 17566920, 95871141, -1, 489471623, -1, 833608667, 436599791, 800965961, 642723933, 114067795, -1, -1, 556456816, -1, 146522015, -1, -1, 593753268, -1, -1, 383565948, -1, 584937305, -1, -1, 956147697, -1, 871776705, -1, 736334443, 78891033, 827276689, -1, 326293786, 238996853, 194545004, 605576571, -1, 429398981, -1, -1, 136130477, -1, 147479934, 155447165, 831213090, 404365694, 675173158, -1, -1, -1, -1, 42519339, -1, 377382811, 819078137, 292288347, 427734081, 322401295, 578686583, 534664391, 577380738, 843393560, -1, -1, 815027375, 930360303, 589047417, 968524945, -1, -1, 817510451, 708009550, -1, 878162462, 677449499, 281650457, 491292778, 398328403, 119238509, -1, 181281789, 968901270, 900838542, 351856476, 420267830, 715781807, 139846852, -1, -1, 427383792, -1, 819001098, 567162487, -1, 325651383, 712939087, 984152582, 605702477, 324202721, -1, 409982877, 400259194, -1, 792342672, 487034470, 262805479, -1, -1, 573747027, 219076179, 849176751, -1, 320768680, 303857653, -1, 647750909, -1, 800787296, -1, -1, 323225337, -1, -1, 599408568, -1, 894184962, 524449945, 295958262, 481162535, 426567173, 71007738, -1, -1, 79005541, 65946004, 529039309, 710977297, 989207231, 33661041, -1, 500829210, 55781587, 317219535, 168284623, 134899626, 426284728, 479202931, 284806905, -1, -1, 733736227, 28625829, 313965011, 826857363, 191894443, 589396729, -1, -1, -1, 568563348, 709322205, 335108156, 838190188, 351821275, 388280660, -1, 426477631, -1, 176606263, 714671272, 512372826, 56925931, 36126467, -1, 821495799, 1813332, 248128174, 824242451, 888529546, -1, -1, 243526457, 939265772, 850398077, 841720937, 410348938, 893735799, 883395875, 362647478, 405267006, 53741752, 159423448, 802949603, 580423017, -1, 825255636, 252393559, 420617610, 459135498, 350893194, 551095832, 837862132, 485461137, 944635577, 364712565, 346191471, 186179927, 957882451, 104083843, 351492919, 522281037, 228341871, 268786705, -1, 747490985, 590186335, 461298979, 1279428, 224409927, 604711602, 292792577, 313829091, -1, 799805219, -1, -1, 950825668, 244729347, 385644099, 7379688, 546265430, -1, 518059143, -1, 221414253, 221923316, -1, -1, -1, 153239808, 476079883, 278898495, 489749955, -1, 673804592, 285142849, 209610510, 480590691, 314228818, 147496989, -1, 854375943, -1, 734496835, 928401982, 825859697, -1, -1, 575023456, 831844802, -1, -1, 914123759, 822418569, 873714445, 534240508, -1, 537324236, 1435717, -1, 452211329, 599666100, -1, 953858298, 19531994, 344770601, -1, -1, 577007739, 129933650, -1, -1, -1, 30621937, 808792792, 487007405, 793378283, 999345518, 801905151, 213847657, 539285537, -1, 854347338, -1, 753483655, -1, 497686867, -1, 210639374, 300616145, 956926527, -1, 175172420, -1, -1, 21222697, 743077201, 180803002, -1, 588228465, 522065052, 235992294, 235080442, 374650553, 985415346, 519565364, -1, 461322586, 512619448, 147250421, -1, 534249011, 324541593, -1, 557194902, -1, 462598295, 858739081, 113975319, 201904670, 78280266, 883236153, 861160565, 457695252, -1, 996892082, -1, 640577304, 750654646, 513897337, 72438245, 960143831, 915826080, 243348706, 157005038, 730097998, -1, 896644389, 75009709, 724415954, 701565825, 430794830, 854860628, 90477810, -1, 725126208, -1, 758607809, -1, 911878307, 52710269, 2983027, 954173527, 19497803, 464023173, -1, 111291644, -1, -1, 568184482, -1, 883590791, 911729915, 831669685, -1, -1, 362374720, 933767058, -1, 328967750, -1, -1, 148049345, -1, 367644174, 82420093, 833303580, -1, 631850274, 785506801, 317681776, 524683519, 135987665, 870731057, -1, 28563998, 828478003, 417751267, 226175816, -1, -1, 579839117, -1, 479844030, 322368924, -1, -1, -1, -1, 72825822, 772859126, -1, -1, 163870857, 781384683, 901882771, 210564016, -1, -1, 881887604, 678929941, -1, -1, 840131077, 210662352, 163887179, 930063655, 206716962, 204667267, 938845328, 895192275, 618404477, 937977288, 558066212, 393940107, 991292462, -1, 188900267, -1, 855484489, 205302043, -1, 627828355, 462861447, 173521931, 461061220, 992507458, -1, -1, -1, 271047617, 188599909, 848203564, 143139367, 201019057, 81676124, 843072567, 936855817, 813059303, 677252910, 150541274, -1, 379525990, 978665360, 545047266, 956898829, -1, 711126790, -1, -1, 240641923, 513624315, 837335701, -1, 5477462, 721805867, -1, -1, 442765006, 810494822, -1, -1, -1, 799552861, -1, 677708757, 736010885, 642678461, 588300385, 994973655, 739913515, 456812644, -1, 346651916, 140198747, 175348963, 135173879, 953554771, -1, -1, -1, 860720599, 147240334, 673760677, 352879136, 306829760, 355713586, 413274222, 62479266, 740534795, 945642392, 829453226, -1, 944326359, 612201524, 677775138, -1, -1, -1, 368211962, 404939630, 414715255, -1, 995875428, -1, -1, 596040786, 951535634, -1, -1, 283817181, 304441933, 478113231, 985408401, 816721565, 750808634, 719854898, 612543168, -1, 277469836, -1, -1, -1, 299013633, 421406266, -1, 682815789, 562548044, -1, 158799366, 137099034, 338745927, -1, -1, 790606852, 211366720, 367104880, 485804968, 833175403, -1, 452416376, -1, 237830999, 192069570, 858204915, -1, 640364894, 958988884, 556933141, -1, 597333206, -1, 647130770, 76318770, 821163943, 317675461, 470159868, 118682575, 536244877, 596419880, -1, 170010200, -1, -1, 744961853, 310736252, 207446601, 399219485, 569396301, 638014121, 730994021, 931596188, -1, -1, 558584894, 915446641, 770325534, 435729909, -1, -1, 409182200, 100273966, 802416737, -1, 478655521, -1, 849971887, 462293647, 962967547, 720823937, 463860222, 206773170, -1, -1, 8403597, 628961408, 925806034, -1, 694746226, -1, -1, 552841109, 402302508, 435624996, 309093634, -1, 985310905, 44535207, 233606476, 899789097, -1, 266457431, -1, 731683, 344402436, 104928585, 147317531, 568790071, 163305712, -1, 906971429, 354484949, 179618346, 711491915, 299040611, 791332647, 806560148, -1, -1, -1, 725947689, 120503206, 31828548, -1, -1, 613124746, 98641444, 361572829, 632963927, 313135206, 271261748, 702158637, 510720141, 545401517, -1, 436654664, 850188667, 429882731, 777155469, -1, -1, 387209901, 647957918, -1, -1, -1, 112572607, -1, 759551091, -1, 63274436, 48664477, -1, 149641549, 965604184, -1, -1, -1, 120747893, 801040628, -1, 801226079, 711294372, 438360644, -1, 570937205, -1, -1, 844349190, 83715702, -1, -1, 766219182, 250008577, 935155578, -1, 910959072, 816301501, 31659750, -1, 556641807, 290116782, -1, 536914772, 189860415, -1, -1, 640976663, 751429576, 806825508, 402289999, 728137338, 523351113, 434603528, -1, 393615848, 991665258, -1, 809647440, 388055593, 502329492, 551179693, 406610923, 156135925, 961773776, 491772194, 946588099, -1, 756760884, 710104423, 781445836, -1, 669275570, -1, 247663903, 207196541, -1, -1, -1, 676007068, 843430063, 172694718, -1, 701027968, -1, 937711285, 448271164, 903731126, 989965255, 498820209, 446244367, 297269498, 598848588, 302519609, 838528099, 491703265, 674165750, -1, 679726460, -1, 970830537, -1, 652563513, 399772948, 732476754, 166885009, 937693074, -1, -1, 25906737, -1, 957134237, 748631102, -1, 247887749, 367092074, 423197977, 964131529, 794898498, -1, 421980530, 23029317, -1, -1, 214817233, 602698923, 475621473, 826451500, -1, -1, 906032967, 729631795, -1, 408948262, -1, 879041616, 469530620, -1, 822493795, -1, 604182922, 535207062, 796553904, 158739298, 740316628, -1, 660140782, 839872661, 269685341, -1, 64043628, 74381253, 543375687, 713077233, 839805324, 611151724, 34101134, -1, 404986402, -1, 645166328, -1, 360356192, 416264109, 296686473, 293579783, 363686439, 619711447, 764418044, 59955035, 282669066, -1, 642493198, -1, -1, 18514952, -1, 423982428, 784223467, 690332246, 682740496, 944715994, -1, 356842540, 438462817, 872290587, 344175866, 190067, 532997580, 805486187, 21445170, 519106399, 525307914, 199626980, 299543403, 455190274, -1, 845030871, 402544562, -1, 133535027, -1, 215727807, 874399811, 3414183, 714309111, 304258776, -1, 549452542, 797390193, -1, -1, -1, 570946708, 917001630, -1, 305244306, 589458985, 884731568, -1, 929749403, 885852871, 627071303, 539452943, 909462730, 450821721, 958387125, -1, 639985937, 789969897, -1, -1, 245758280, 708414988, -1, 958958064, 492260964, -1, 360238004, -1, -1, 611666163, -1, 209774846, -1, 918399054, -1, 406177185, 208627566, -1, 979646885, 192096742, -1, -1, -1, -1, 737406984, 459149475, 98572068, 499342006, 806235908, -1, 923623573, 558849922, 268500928, 557114192, 374635697, -1, 111076467, 691535281, 475012231, 994419617, 275361659, -1, 580139973, 83368428, -1, -1, 904248241, -1, 84161293, -1, 136372101, 943955526, -1, 678892543, -1, -1, -1, 680409161, 267478467, 252213164, 776014000, -1, 840969960, 562165278, 106476543, -1, -1, 153401456, 830064274, 541708257, -1, 677350455, 8277727, -1, -1, 273513787, -1, 974877351, 168325538, 647889455, -1, 943014675, 692819906, 978911924, 980782957, 706920313, 914888368, 571102614, 499578760, 787056340, 371036549, 735690562, 995801887, -1, 520286858, 535159494, 818221457, 835579561, -1, -1, -1, 872112651, 686079689, 42277127, 253870070, 945330865, 556131506, 851032278, 157311211, 577390956, -1, 562293746, 108046737, -1, 803201612, 481958102, 729137934, -1, 700534787, 227988311, -1, -1, 776144734, 943916281, -1, -1, 635758969, -1, 979409895, -1, -1, -1, 829770347, -1, 153680062, -1, 206548005, 319053344, 122118652, 732249740, 208435242, -1, 698553131, 222645287, 828822911, -1, 24543220, -1, 151804474, 350006028, -1, -1, 875378809, 862414933, 993236549, 918880784, 349966988, -1, 179359650, 416343590, -1, 677321660, -1, 470459691, 603517708, 42056436, -1, 924371790, 758783095, 760502807, 237223731, -1, 231648352, -1, -1, -1, -1, 130603494, -1, 534871030, 886974011, 519703165, 498530929, 588738923, 377197337, 323559729, 86060691, 575293161, 396042824, -1, 573414679, 51368549, 635979406, 633423423, -1, 101185047, 56655399, -1, 448487599, -1, 693424550, 984290794, 802943106, 169000656, -1, 875290613, 196338620, 676372130, -1, -1, 707682010, -1, -1, -1, 887625208, 116669835, 423711729, 422061227, -1, 939646270, 268371129, 187327332, -1, 303396090, 137113333, -1, -1, -1, -1, 213763748, -1, 98318217, -1, 41043424, -1, 727813739, -1, 722666773, 946035176, 780667565, 231712857, -1, 404460043, 860020705, -1, -1, -1, -1, 162788233, -1, 274258439, 166394028, 513141284, 553335855, 832997464, -1, -1, 959801226, 495918350, -1, -1, 167526543, 711504869, 750882092, 732341390, 853137049, 768107926, 260231041, 272352491, 646943071, -1, 139701061, 271245153, -1, 664318506, -1, 178528369, -1, 490577230, -1, 54122621, 535244459, -1, 452328479, -1, 649816217, 474004843, 754256975, 561427363, -1, 407972045, -1, 824787330, -1, 136078881, 393437832, 6837456, 929116159, 729178038, 49496012, 411916738, 235282634, 723750200, 753269448, -1, 604238019, 700534372, -1, 14996195, -1, 473495392, -1, 164940239, -1, 287948041, 336795259, -1, -1, -1, -1, -1, 394592578, 762584183, 555019227, 942240669, 387325380, 885765233, 535248533, 760012569, -1, 119213974, -1, 147304533, 699536350, 942247379, -1, 708687189, 947647264, 51381192, -1, 365729790, 225842683, 658056327, 376998587, 566133279, -1, 944474873, -1, -1, 662527590, -1, 583983761, 475884293, 942570094, 826999048, 725613546, 78950907, 542633558, 258116465, 819129974, 837860637, 180915781, 833456545, -1, 983654651, 218004436, 918445615, 391272701, -1, -1, 563286343, 768160041, 967955277, -1, 495382556, 180500254, 738791513, -1, 421605637, 989270014, 737448285, 696114839, -1, 459193350, 752694709, 637816208, -1, 388759314, 50133618, 894268005, 98711702, 9884940, 916310579, 923403966, 763123079, -1, 159940552, 292694306, 306419323, -1, 545628021, 699720253, 404556680, 127117087, 161786921, -1, 60920610, 700554417, 86938018, 612480509, 794030187, 707126696, 218960703, -1, -1, 513061332, 818464056, -1, 125552198, -1, 801420708, 464911505, 978231576, 3597267, 782521659, 730890744, 113310528, 329933531, 107720309, 35859320, 811558294, 368232175, -1, 472331250, -1, -1, 884277003, 82410892, 545108750, -1, -1, 553101104, -1, 354878074, 651218064, 399037076, -1, 166180310, 285113686, 171113732, 673649939, 786312271, -1, 852647925, 77199490, 237035211, 20835526, 254463417, 345616367, 683753049, 985691058, -1, -1, -1, 946197923, -1, 798446497, -1, 769752482, 263785727, -1, 357526525, -1, -1, 911165493, -1, -1, -1, -1, -1, -1, 946729222, 663759878, 913235023, 374153079, 787265814, 117809775, 560833929, -1, 401400480, -1, -1, 935523640, 595495781, 47920937, -1, -1, 58920545, 186028846, -1, 360516888, 168921962, 51285409, -1, -1, 29196581, 130387560, 907303690, 819826241, 166327912, 505406093, 354146789, -1, 625120265, 795090561, -1, 303287251, 979583128, 745453084, -1, 904574207, 333010876, 522824056, -1, 433678804, 886521684, 874990521, -1, 843803937, 930140159, 653433424, 890116257, -1, 557740846, 588215077, 572569219, 59008192, 86841859, 953001661, 286618161, 437296757, 673634145, -1, 15451369, -1, -1, 554827973, 592088195, 755467858, 183310219, 363499068, 894739986, 62158010, -1, 895558868, 608945313, 918160676, -1, 606222445, -1, 816088963, 35414932, -1, 13109355, -1, 820004436, 584521680, -1, -1, 359978757, 673866108, 574678188, 675676631, 468128783, 281597531, 960453980, -1, 476826921, -1, 544863776, 337878387, 642583139, -1, -1, 319475460, -1, 422929375, -1, -1, 103460286, 817704502, 858311352, 185238499, 986277232, 350355078, 51144664, -1, 256934707, 675268197, 804281890, 488625907, 25259425, 502197052, 108276805, -1, -1, 345297358, 934047685, 791061351, 269153046, 80345184, -1, 367465629, 938604537, -1, -1, -1, 673514164, 117747376, -1, 387897516, 270461181, 296398115, -1, -1, 351251681, -1, -1, 778971637, -1, -1, 198183885, 811382077, 605113091, 50499207, 152956197, 166012998, 437855583, 872904284, -1, 732167076, 68211317, 716353862, 471496955, -1, 113822615, 847299340, 861957812, 358868913, 352008595, 718053939, -1, 592869455, 272268904, -1, 616841752, -1, 264244822, -1, 571213559, 140208713, 769470769, -1, 419706349, 916584856, -1, 28848552, 427072612, 942936809, -1, -1, 389318082, 370075434, 586196492, -1, 322769765, 402774022, 146808196, -1, -1, 943546003, -1, -1, -1, 515599874, 60796592, 771101895, 700963473, 296426975, 262841611, 656966690, 704584388, -1, 279959935, -1, -1, 828626886, 733106481, 426706342, 72025632, -1, -1, -1, 369043636, -1, -1, 121751964, -1, 524450982, -1, 80647787, 460069183, 830323542, -1, -1, -1, 352177166, 75546797, 788427157, 117173043, -1, -1, 450560002, 245953614, 306108626, 419399435, 956864932, 329776585, -1, -1, 543737605, 441916236, 529408170, 502623525, 174563535, 404695777, -1, -1, 66471797, 894408202, -1, 206005641, 476100220, -1, 530090534, 516144023, 283002022, 767334856, -1, 828700141, 384528237, -1, -1, -1, 557388066, -1, 384552187, -1, 25554355, 487534098, 562203286, 484019569, -1, 846200235, -1, 764904342, 536965292, 21578414, 109574919, 202244178, 771413316, 565908723, -1, 694386452, 189875003, -1, 310002187, 135157037, -1, 379922479, 953435196, 89965649, -1, 19396295, -1, -1, 944068208, 589827219, -1, 51560257, 805513289, 168772583, -1, 633600231, 548127681, 622878580, 727914270, 985684673, 106796134, 914347647, 798232993, -1, 470272116, 121634479, 592229008, 483744812, -1, 831065701, 449030206, 911255633, -1, 966414444, 76647402, -1, 766840893, 944531384, 167881281, 474843535, 662708113, 269387943, 209223592, 490430074, 643627947, 460193256, -1, 484450040, 827988045, 780155344, 1035807, 890831320, -1, 478163478, 804496856, -1, 415694457, 158260294, 693466607, 539909263, 16917036, 26162601, 792206384, -1, 211808363, -1, -1, 751415525, 832721971, 182716861, 816641185, -1, 410759989, 695929549, 609195308, -1, 680719363, -1, 967687938, 121982068, 24585471, 174353759, 853962195, -1, 449458519, -1, -1, -1, 829319385, -1, -1, 205119363, 419002389, -1, 865408590, -1, 165529938, 192074996, 592398877, -1, -1, 648058550, 706139000, 455626442, 642687144, -1, 257870871, 793607362, -1, 900025066, 45201143, 792371630, 354892669, -1, 822405513, 260009619, 432029397, 966034356, 318902623, 906095341, 438114324, -1, 289189456, 4405411, 741692207, 675495380, 380598371, -1, 414064872, 536856927, -1, -1, -1, 568032814, -1, 140417048, 859059448, 978168955, 578463948, -1, -1, 453841485, -1, 547600650, 517263447, -1, 560568958, 279075837, 576593840, 625643135, -1, 13253739, -1, 598668932, 447779100, 909760990, -1, -1, -1, -1, -1, 180166737, 34037492, 851919286, 664612555, -1, -1, 75060289, -1, 876564570, 865809871, -1, 919498994, 74441658, 47816325, -1, 131590056, 231080176, 658100928, -1, 267146705, -1, 199578614, -1, 289035329, -1, 226059017, -1, -1, 460742084, 127105572, -1, 3440570, -1, 924904953, 106429230, -1, 713113758, -1, 25865828, 231335831, 945067813, -1, -1, -1, 830938094, 680007969, 408293053, 436159239, 49708396, -1, 870533198, -1, 432027438, 798330375, -1, -1, -1, 161160850, 664543866, 837293295, 713228604, 481224287, 889151504, 266942393, -1, 300438692, 916812694, 387013387, 39306137, 202418245, 730988886, -1, -1, 151688211, -1, 876517750, -1, -1, 660244550, 266730550, 303286653, 312448449, -1, 199778525, 590136362, -1, 548433752, 473212992, -1, 753013525, 280340127, 828702528, 343700115, 361689910, -1, 897733624, -1, 15422951, -1, 824787328, 400179654, -1, -1, -1, -1, 828804913, -1, 494806705, -1, 201841362, -1, 454392730, 562387735, 574622291, -1, 356301045, -1, 319343294, -1, 992620674, 535679741, 983788748, 595996746, -1, -1, 406132128, 408766539, 794153630, -1, 729061701, 72494319, 289505920, 893376139, -1, 556749116, -1, 806914318, 946325803, -1, -1, 924080098, -1, 143711669, 947735898, 565608171, 31514260, 478725891, -1, 574207697, 30684635, 935483728, 885233730, 637067817, 369417751, -1, -1, 474851329, -1, 573935232, 423006223, 767951989, 525495407, 726264939, 907450561, 68428493, 52472263, -1, 623459145, -1, -1, 243375720, -1, -1, 480987552, 253107080, 654880839, 605047057, 148752976, -1, -1, 178712917, -1, 2220822, 193236016, 70147935, 702955480, -1, -1, -1, 792349091, 615807992, 464546431, 142168932, 876736680, 725306293, 168804549, -1, 718757687, 976608891, 774995031, 922360608, 75069608, 258713138, 505673157, 95856922, 251355144, -1, 766645613, -1, -1, 131597115, -1, 274117269, -1, 359471049, 950855356, 412400380, 778164892, 874769286, 762529745, 171435685, -1, -1, -1, 181507489, 762150291, 602351842, -1, -1, -1, 132472493, -1, 736743076, -1, 370253081, 137169270, 273805350, 352310131, 330802569, -1, 10784991, 303512358, 363541669, 872264989, 601901516, -1, 583185695, 354538321, 854385609, -1, 465657989, 985773163, 15612396, 866494836, -1, 352215454, -1, 487835801, 522319432, -1, -1, -1, 35022616, 149183018, 699985755, -1, -1, -1, 384284598, -1, 459435998, -1, 733440030, 963244101, 721627178, -1, 72352605, -1, -1, 27413501, 292040048, 587061931, 105749426, 907221253, -1, 494186457, -1, 242002456, 232377726, 680134750, -1, -1, 411952866, 129842685, -1, -1, 507449948, 435752422, 39266794, -1, -1, -1, 591895274, 466398687, -1, 64717934, -1, 229515817, 453355741, 770282637, -1, 129201809, 538701582, 473541487, 832602658, -1, 649902840, 339212142, 144828185, -1, 920064843, -1, 534294580, -1, 423047035, 926370237, -1, 376700101, 33619167, -1, -1, 814844274, -1, -1, 730585492, -1, 175761030, -1, -1, 96599601, 947716588, 464960392, 874007115, 154915754, -1, 679109252, -1, 282635271, -1, 326420285, 727137372, 42917999, 560706494, 44902020, 85403606, 804093985, -1, 130907759, 638241752, 936697734, 988143120, 944266949, 120965784, -1, 69784158, -1, 359308489, -1, -1, 788972678, 429456299, -1, 829449007, 824606784, 568354462, 241876795, 577396053, 284134726, -1, 51640376, 833297010, 803597729, 172971818, 746458617, -1, 211651303, -1, 105440686, 376838728, 43729322, -1, 494529597, 4224261, 850764291, 141670085, 181571401, 33669861, 165634158, 595077181, 272472508, -1, 904451018, 231827435, 828201299, -1, 547390368, -1, 800850940, -1, -1, -1, 727249025, 41889932, -1, -1, 108990483, -1, 984069703, 570712735, -1, -1, 931569695, 976285611, 875211676, 92419727, 450334726, 673827179, -1, 444243890, 302056513, -1, 560780727, 41828365, 37060365, 633682884, 389736800, 446240916, 888096566, -1, 298042128, 639353962, 670211035, -1, 21437108, 300891758, 312376614, -1, -1, 982974408, 758257301, 48657587, 988510603, 817335633, 315475029, -1, -1, 593183206, 785771521, 616567126, 317822491, 76485299, 804350327, 882563281, -1, 921696329, 15653185, 568678491, 863378076, 53274029, 111326416, -1, 680211325, -1, 84926340, 149532357, 756036392, 231935729, -1, -1, 462786143, -1, -1, 846685348, 698976812, 740853651, 630313234, 737635247, -1, 189569818, 925530236, -1, -1, 614130411, 333869598, -1, 841400225, 53333494, 65878102, 424865895, 478800149, -1, 360799468, 16431138, 878415256, -1, -1, 618755228, 978558196, -1, -1, -1, 194118894, -1, -1, 858709447, -1, 371731918, -1, -1, 232796599, 918758038, 222522870, 219212106, 543897828, 64815772, -1, 155391382, 766521004, 965630652, 925305204, 8545285, -1, 379894585, 39188799, 584223050, -1, 634448577, -1, 443876909, 325691941, 907776177, 746330058, 867122748, 387062311, -1, 766662108, -1, 167880983, -1, 328372010, -1, 729153454, 785886065, -1, 220336566, 421203051, 971779090, 447120780, 848111234, 857804637, -1, -1, -1, 601730640, -1, 213708768, 401411697, 60698914, 428076415, 717143817, -1, 487382690, -1, -1, 101351921, 341466971, 116132671, 893306465, 115520138, 997212418, 335002739, 125063190, 347076882, 200666095, 664469577, 747574801, -1, -1, 552974290, -1, 722500749, -1, 676738638, 467970999, 121828744, 4257058, -1, 789516300, -1, 558404817, 39813537, -1, 254107664, 926674063, -1, -1, -1, 847818564, 45930763, 239772518, 746956571, 486583237, -1, 796759765, -1, 816051724, 909988366, 863270078, 99254260, 833032307, 448635214, 873629008, -1, 794545127, 687114016, -1, 189526527, 262237161, 185314422, 499537478, 560244065, 795788560, 44056666, 805370923, 604408427, -1, 501360645, 464066960, 998816179, 212782648, 248518467, -1, -1, 990361168, -1, -1, 847804040, 61116726, 631973655, -1, -1, 847194636, 219969552, 761634949, 358417094, 671749286, 326635052, -1, 778572542, 914813733, -1, 360494451, 738239465, 761609118, -1, 525490214, 630977933, 676612990, 813820722, 389632668, 475637954, 978492960, 685008276, -1, 736914763, -1, 394422041, -1, 747841847, 617373112, 879547061, 675278758, 4590738, 585584036, -1, 9238212, -1, 779967947, 84439724, 923834532, 297784039, -1, -1, 943764021, 650499503, 867984745, -1, -1, 645619978, 632946142, 490244752, 490178846, 799783997, 329443089, 27478452, 419857436, 63772524, -1, 935277369, 143271041, -1, 958683376, 397685040, 726257776, -1, -1, 917104566, -1, -1, 513075308, 711259383, 450148139, 662500185, 505317631, 426263662, -1, 883128890, 767401816, -1, 425451380, 326351460, 179148486, -1, -1, 997932216, 932059914, 220219666, 19324159, 512165050, -1, -1, -1, -1, 814417651, 435246890, -1, 994273327, 541479267, 611027453, -1, 371642607, 332268147, 906145580, -1, 794465129, -1, 697746763, 199363067, -1, 368171116, 744818884, 996430806, 210280113, 503036640, -1, -1, 995006118, 498865975, -1, 112303813, -1, -1, -1, 737370012, 910794136, 105420269, 563628045, 641065534, 805253991, 912579454, 186321486, -1, 87924679, 235794305, 362955561, 433052472, 325811934, -1, 777234071, -1, 384226585, 261059234, -1, 987609823, 130403505, -1, 731846153, -1, 952337533, 766130569, 522030362, 344688998, -1, 43527921, 164037051, 271836869, -1, 408215017, 843597955, -1, 409128585, -1, 966078702, 762943302, 166807196, -1, 795917423, 364944425, 58297031, 763425592, 771035850, 359324954, 89397423, -1, 655901940, -1, -1, 174726605, 519154261, 925894137, 750367152, 360964031, 243308690, 40218026, 51800867, 116063272, -1, 218308919, 561838455, 292221685, 38902578, 948831029, -1, 657693838, 379004565, -1, 288686466, -1, -1, -1, -1, 666120624, 419484331, 699297557, 33432826, 560161309, -1, 325607250, 722694148, 682836139, 38005806, 682674920, -1, 683053989, -1, 315032994, 839033924, 574110372, -1, 544670654, 282374473, 210247034, 344584347, 526036134, 538377194, -1, 82485017, 562558528, 732160508, 921083955, 901648298, 472797491, 881786323, 459162907, 422869209, 122294640, 697413321, 829077385, 109816095, -1, -1, -1, 129216664, 754596081, 357056068, 446466192, -1, 902258453, 879346540, 555063859, 713382121, 995089484, 348136358, 983568496, 901071497, -1, 785314085, 588122336, 577069918, 100512824, 604484905, -1, 8313541, 704204626, -1, -1, 447248432, 315136284, 218451163, 2919567, 327296802, 325998765, 247396260, 714091942, -1, 308596756, 345843575, -1, -1, 33914370, -1, -1, 508389323, 518730590, 251713688, 374225601, -1, 481060082, 634701616, 855171957, 986425191, 494269018, -1, 258333580, -1, 406137243, -1, -1, -1, 155811630, -1, 398302929, 856757949, -1, -1, 90970135, -1, 239027365, -1, -1, 64443092, 271970872, 509638945, 806462310, -1, -1, 637508413, 739584303, 583369811, 744033134, -1, -1, -1, 259191257, -1, 355875743, 897911962, 938947473, 731770989, -1, 931318714, 791094105, 38180219, 616837922, -1, 356424049, -1, -1, 624031448, -1, 955946437, 360134859, 156497359, -1, 585421279, 306332436, 429301153, -1, 963650618, 889839754, -1, -1, -1, 534523299, 359455632, -1, 939439105, 630961115, -1, 950238013, -1, 542064915, 6715722, 322588925, 122132194, 440170429, 410174895, -1, 446928917, 145585105, 566187328, 611695886, 261731924, -1, -1, 756939910, 572685566, 962502126, -1, 509147205, -1, 279032231, 999044389, 288289172, 198648058, -1, -1, 739170315, 818644477, 796811505, -1, -1, 421532284, -1, 433084321, 981349164, 898594316, 646957405, -1, -1, 617781580, 827688353, 686037483, 868903301, -1, 365938370, 475828643, -1, 366318906, 567406660, 399870839, -1, 821184602, 348928990, 871789619, -1, -1, 675609544, 734665943, -1, 497081944, 350050789, -1, 158502176, 90572827, 29880418, -1, 36903510, 199079538, 181748215, 192931388, 586401001, 285489371, 523746787, 867321110, 615405610, -1, 240389241, 256933951, 840890184, -1, -1, -1, 324418870, 984589395, 335428504, 608761944, -1, 712395431, 675649899, 583845647, 452953115, 113728335, 741524754, -1, -1, -1, 545236700, -1, 731478816, -1, 534593110, 523504314, 464567471, 712989300, 209464520, 250212024, 747944993, 763735257, 147033469, -1, -1, 415244049, 115574916, 222677124, 603194335, 460214136, 793539153, 241593246, 494164298, -1, -1, 952380575, 339584305, -1, 184557288, 330667920, 212834093, 456311431, 677768692, 307908900, 4484853, -1, -1, 404815821, 370865460, 605809365, -1, 447226019, -1, 302804852, -1, 337279322, 131172422, 573320180, 785556794, -1, -1, 457456159, -1, 439001618, 889549385, 626956908, -1, 338642293, -1, -1, 365986432, 103657770, 543044555, -1, 477688529, 729692152, 70775086, -1, 153313025, -1, 982041279, 545946949, 667044464, -1, 290959627, 745183791, 235885940, -1, 238873827, 385459572, 336730597, 827770237, 765970101, 630225057, -1, 963605446, 460559618, 81458290, 299604584, -1, 686617164, -1, -1, -1, 250114259, 54059374, -1, 606077443, 11805713, 497369913, 396651819, -1, -1, 530417676, 374511846, 591846465, -1, -1, 954326213, 610846221, -1, 668166864, 273945166, 827066492, -1, 754934048, 802459302, 203996212, -1, 967559846, 765562913, 638834174, 759048837, 633989413, -1, 11324213, 343159940, 86049173, 170352944, 866197892, -1, 808735485, -1, 375485009, 530785052, 472631754, -1, 46222161, -1, 164294228, 248810106, 872342147, 835220295, -1, -1, 751596699, 602091826, 785778826, 589779315, 162956939, 367508115, 773160093, 301901756, 406347746, 10087234, 765848718, 768421814, 589879510, -1, -1, 774630154, 479002820, 76099811, -1, 19820447, 64738540, 863504152, 410721725, -1, 827936258, 674002091, 654298334, 153624075, -1, 383264891, 997817472, 28350025, 548229517, 915012844, 615420061, -1, 744097510, 207112700, 176402511, 851669417, -1, 482638344, 314411399, 148131874, 835931388, 9491989, 474635635, 210830311, -1, 527750693, 61380892, -1, 858612565, 139735712, 294057059, 10139742, -1, -1, -1, 97252228, -1, 707680679, 225095514, 289999656, -1, 431019034, 659234195, 822704635, 798197916, 954748945, 229637037, 621011682, -1, 374925001, 872587909, 260820207, 599269416, -1, 951498489, -1, 232544837, 759096270, 387583746, 805494668, -1, 508579443, 218173438, -1, -1, 359327494, -1, 920466841, 167029831, -1, 154815678, 19000326, 463402297, 12166281, -1, -1, 703234022, 808986572, 643388197, 526153605, 913188180, 682896125, -1, 435999003, 537514143, -1, 635468397, -1, 636843348, 564629819, 675366008, 585096363, 756970576, -1, 307579434, -1, -1, 560599349, 570521169, 615285189, 177675183, -1, 717036291, -1, 17187732, -1, 790130729, -1, 294464128, -1, -1, -1, 994580453, 889850383, 428859592, 819454875, -1, -1, 603604903, 847210225, 563645936, 352194894, 279474619, 26141557, 920030142, 318049473, 124330006, 968277996, 528112485, -1, -1, -1, 244441971, 792926247, 187049969, 82961081, -1, 937469942, 571626521, 190002758, 261107175, 866930757, 81029921, 174848046, -1, 429198733, 314239970, -1, 380882390, 761073621, -1, -1, -1, 700416911, -1, -1, 797062694, 994252268, 228532799, 121321716, 528322088, 378328540, 647054900, 528726885, 166812041, -1, -1, -1, 122066762, 651991623, -1, -1, 632448201, -1, 719752541, 103924911, 130846239, 491433192, 227393246, 729447114, 691173896, 301320045, 503261100, 738819294, -1, -1, 476910019, 312727423, 511320006, 181977576, 99487863, -1, -1, -1, -1, 39343225, 779768028, 670058303, -1, 283425992, 768466934, 207303, 995635657, 99556304, 626844054, 100891725, 449316222, 897411554, 119113878, -1, 610363973, -1, 757750896, 86034924, 847127392, 907475706, 985609620, -1, 611433968, 917969062, 27064742, -1, 946616279, -1, 821598913, 533302506, -1, -1, 480128166, 669243249, -1, 259075013, -1, -1, -1, 150790098, 193735567, 267801020, 317039532, 388502126, -1, -1, 446233062, 576352435, 600617537, 374507574, 488867977, 840429, -1, 860737411, 323831706, 703205658, -1, -1, -1, 29159413, 987190783, 573354993, 994986282, 429395851, 703281141, -1, 963149171, 667389271, 691455266, -1, -1, -1, -1, 805682352, -1, -1, 354536855, 123745902, 349490958, 161433389, 745533654, 300957050, -1, 504188284, -1, 544642128, -1, -1, 510374854, -1, 162924808, -1, 400936844, 797946340, 959415430, -1, 801697015, 369173165, 279828566, 478805892, 156829124, 179120095, -1, 397832746, 247965441, 894478750, 964694130, -1, 312299562, -1, -1, 793345194, -1, -1, 460844983, 843087727, 407582419, -1, -1, 625999452, 315643494, -1, -1, -1, -1, 398008313, -1, 733340976, 326094707, 72889142, 54446120, 731466497, -1, -1, -1, 532328921, -1, 964074738, 544497457, -1, 179262485, -1, 134499650, -1, 904580426, 525271267, 334546237, -1, 802824422, 412110130, 229498440, 675320434, 967334243, 101512018, 438893761, -1, 473278228, 327981938, 194020165, 981278262, 82579757, -1, 993117391, -1, 617216646, -1, 964308493, -1, 290367231, 716024790, -1, 43536193, 639592520, 841263543, 271957746, -1, -1, 981686243, -1, -1, -1, 756870529, 889186829, 754045012, 909512861, 733506005, 22322168, 37765996, 836976472, 740358051, 216151793, 575546991, -1, 56888214, -1, 282159754, 209605721, 899071909, 718361620, 256884415, 212033622, 413369575, 732648945, 490605327, 579107084, 575138963, -1, 554547428, 593096618, -1, 317762394, 250751560, 61161889, -1, -1, 495588611, 330676778, 471016045, 622988418, -1, -1, 481057062, 487060235, -1, 469741378, 942752970, 884022606, -1, 221819126, 218180084, -1, 7084567, -1, -1, 863310739, 401845768, 876831447, -1, -1, 14202114, 122734561, 455035698, 487514322, 754728969, 911873668, 1246709, -1, 612562543, 353474147, 228718637, 306959451, 109105762, 914563710, 46962099, -1, -1, 749536052, 964755837, 78273408, 510026013, -1, 967070562, 786672132, 821346027, -1, 632279412, -1, -1, 333047663, -1, -1, 224202300, 581399210, 245981604, 498656529, -1, 123963732, -1, 627658926, -1, 642939343, 330483122, 171807769, 783643525, 425320319, 966091517, 341343999, 954602729, 634458682, 608878558, 409464605, 757245741, -1, 863084670, 215380733, 614200832, 901149599, 958293558, 33308017, 50930221, 574231238, 397323806, 96527575, 588999819, 197554802, 543597291, 418887345, -1, 81153489, 5531534, 486812575, 163463134, 544308709, 927443611, 790837223, 535509196, 83843310, -1, 550172428, 966196811, 887615340, -1, 649222733, 728739125, -1, 494271731, 854354807, 487131699, 906778492, 113643440, 37641150, -1, 550266391, -1, 834826988, 678395891, -1, 622721430, 508530781, 226087740, 429405434, 396065726, 124344709, -1, -1, 822769985, 918904324, -1, 463468937, 917351821, -1, -1, 638988931, 79305814, 131060246, 581832459, -1, 434362021, 598841369, 739826469, -1, 637500479, 747699390, 973111934, 647982912, 489253656, 9464615, 110595732, 956628923, -1, -1, 945825493, 476475043, 184568082, -1, -1, -1, 653138610, 25366187, 290081520, 279579119, 812871054, 337478540, 272199939, 215826354, -1, 568432145, -1, 426375812, -1, 25831561, 188996903, 459851978, 861139065, -1, 499624749, 467798780, -1, -1, 606392672, -1, 517896544, -1, 31571276, 333056475, 533440886, -1, 998888220, 703796213, 960300214, 531529415, 14209287, -1, -1, -1, 983974875, -1, 607170751, -1, 858035778, -1, 645835557, 719481056, 80939683, -1, 846086033, -1, -1, 184506787, 461964442, -1, 36993412, 576499429, 558057677, 629553035, 197081852, 871330736, 236921967, -1, -1, 303308949, 732175668, 462690133, -1, 410330301, 971705420, 231031993, 12509892, -1, 32731266, -1, -1, 458802604, 733503516, 67692401, 897876597, -1, 438016173, 59475567, 980582644, 606345441, -1, 966208084, -1, 989434989, -1, 775580587, 998376747, 114822288, 112680420, 190660364, 553602125, -1, 711039799, 472812795, 905351612, 713747324, 934598838, 586771055, 62750895, 857638600, 986419907, 254327499, 121944554, 432597803, 581889600, 135924121, 29891754, -1, 310385869, 35273393, 13161720, 6314010, 379305484, -1, 405973193, 985570288, 792228044, 255741348, -1, 819755693, 100255108, 504768038, -1, -1, -1, 892148104, -1, 12912649, -1, 758696566, 683594353, -1, 806872445, 942153929, -1, -1, 10220816, 187042812, -1, 268232575, 655082096, 239552415, 137344666, -1, 726363286, -1, 406381938, 775622057, -1, 240614156, 165916184, -1, 798931677, -1, 345371023, 469642519, 447351467, -1, 472229279, 778231916, -1, 426071224, 778526184, 997521687, -1, 504242950, -1, -1, -1, 726269581, -1, 232834947, 52585624, -1, 596552995, 645866891, 402108634, -1, 902358653, 964377839, 358423999, -1, 683261843, 550981172, 593457304, 895574504, 636660686, 663156559, -1, 383351602, 315685452, 333675487, 753901647, 235258425, 502766898, 981278233, 972351574, 545314585, 509894093, 963043343, -1, 307138501, 208288523, -1, -1, 814052057, 106897973, 464254101, -1, 944066378, 701147376, 817108204, 58057266, 694203509, 400869305, 130293273, 121323929, 108413099, 576235889, 141193362, -1, -1, 522523748, 536960834, -1, 516260475, -1, -1, 598361168, 182000679, -1, 212620777, 58270012, 4562568, 479486354, 960261179, -1, 989745032, -1, 355232056, 314623135, -1, 975355187, 75085887, 906158416, -1, -1, 470526684, -1, 881521115, 259465749, -1, 590996576, 211182649, 307786093, -1, 771594007, 29250309, 156186845, 945015482, 482742817, 257377720, 424032406, 650578573, 131525983, 52055388, 641637668, 44169285, -1, 68648638, 146923275, -1, 363889420, 802568469, 134705390, 167536332, 953641465, -1, -1, 223739107, 19163029, 220291030, 482648421, 672939252, 416205636, 691089560, 792240125, 221145638, -1, 593248262, -1, -1, 707462714, 12138302, -1, -1, 879711038, -1, 658974637, -1, 442569585, 130601971, 922180596, -1, -1, 710794682, -1, -1, 62919060, 908439814, -1, 358056841, 408364266, 594760714, -1, 294198899, 653033794, 766061993, -1, 473045874, 815739291, -1, 758245157, 552543391, 108355592, 96092382, 936223841, 887153786, 175851853, 895797707, 63188544, -1, 84180855, 63404342, 22424408, -1, -1, 509049287, -1, 529962900, 201504380, -1, -1, 288419105, 981537810, -1, -1, -1, -1, 781118571, 658891567, 151555693, -1, 549585717, 954512779, -1, 931483836, 559980543, 304715278, 65232506, 532976462, -1, 983243675, -1, 181786754, -1, 93541501, -1, -1, 429521561, -1, -1, 555499666, 921982288, 520143442, 487881564, 939791259, 321537637, 996916399, 451812138, -1, 146887091, 794624225, -1, 172202845, 115035971, 712381870, 65252452, 168946159, 611826840, -1, 955710741, 731951417, 343816809, -1, 239619023, -1, 561731986, -1, 478849154, 70419887, -1, -1, -1, 915953564, -1, 183478603, 147501313, 28500121, 209436436, -1, -1, 22596405, 799873388, 440873774, 208422336, 215082581, 784871439, -1, 438859974, -1, 65781332, 399597216, -1, 579578571, 11445343, -1, 432625254, 149004654, -1, -1, -1, -1, 511384639, -1, -1, 453913944, 850665601, 670328007, 975926460, 291626461, 467569900, 348654472, -1, 632456188, 945141507, -1, 498800444, 13356509, 284930747, 437083597, -1, 29831115, 493639947, 954851183, 418325291, 34755217, 954575765, 614963216, 605229589, -1, 312857500, 639490910, -1, -1, -1, -1, 283238364, 922326922, -1, -1, 400385946, -1, 729926422, 243965947, 155210932, -1, -1, 949713677, 722666873, 122118845, 736006994, 867512777, 763908112, 861711497, 413633944, -1, 356908178, 482756438, 672855428, -1, 885059790, -1, -1, 863610691, 521382090, 741105504, 866855418, -1, 725623198, -1, -1, 214900295, 450543744, 197774690, -1, -1, 670720586, 3933229, 716633264, -1, 966514712, 934346708, -1, 997247578, 407782636, 464416357, 7473950, 145644261, 187665801, 569316803, 191877862, 97899135, -1, 862371348, 28889791, -1, -1, -1, 360179243, 577778046, 996084729, 306430777, -1, 922198235, 275567394, -1, -1, -1, -1, -1, 279739222, 184503229, 204854491, 89518843, 882009384, 650258256, 803014487, 899095469, -1, 44660340, 681367040, -1, -1, 622175579, 605957654, -1, 678438023, 153341354, 31126199, 572419456, -1, -1, -1, -1, -1, -1, 66425521, 504925101, 983185619, 660889503, 559713788, 738394666, 456057104, -1, 540440387, 44810327, 226133964, -1, -1, -1, 57333727, 148129353, 520796211, 329365548, 283302559, 264408936, -1, 405321797, 832525260, 276667141, 98975310, -1, 36818524, -1, 491151940, -1, 988374700, 543174894, 11177524, 96280415, 748523108, -1, 165766954, 59276332, 289227292, 398115577, 980877613, -1, -1, -1, -1, -1, 971274647, 847250834, 369359578, 606120152, 675312459, 947799240, 374349922, 797977614, 807927806, 166382265, 613318770, 127157290, 642079228, 682947634, 468878090, 634347192, 727770464, 451133097, -1, -1, 858323490, -1, 824568277, 246215685, -1, 535513341, 144708767, -1, 972609650, -1, 645704983, -1, 776179110, -1, 673947217, 401411220, 448277211, 67003556, 514608667, 647121419, -1, -1, 1870131, 959303822, 245417948, 564620587, -1, -1, 959769721, -1, 777928048, 561650992, -1, -1, 316448541, 498030632, -1, 112755809, 735059910, -1, 767705683, 20461856, -1, -1, 129964643, 927026599, -1, 410817440, 913644244, 759210081, -1, 689517124, 894957426, -1, 891042175, 632953188, 566872934, 893357363, 556635621, 380904522, 731528625, 380621887, 591916207, 994187527, -1, 103292280, 100179300, 452943331, -1, 329613892, 273949755, -1, 34314500, 523986337, 742508983, -1, -1, 7585714, 987724759, 153027356, 305880842, -1, -1, 565926495, 899253662, 516812347, 672825470, 473303313, -1, 292110445, 273894610, -1, 935761793, -1, 855628455, 594966219, 125385467, -1, -1, -1, 644957146, -1, 5968628, -1, 584955759, -1, 349610472, 82424008, 25880413, 218281445, 18093876, -1, 186282554, 359548147, 387189664, 357274183, 121297805, 866476351, -1, -1, 528016297, -1, 72684018, 392640468, 636112160, -1, 621484690, 344938410, 749162425, -1, 47702422, 762966396, 102228987, 525662082, -1, 769108063, 362822011, 998015867, -1, 576813182, -1, 767224497, -1, 465657237, 694807003, 904562285, 465406280, -1, -1, 781038027, 309786090, 982008069, -1, 959533217, 394328981, 501273975, -1, -1, 389438349, 658740220, 901566963, -1, 620766215, 435617098, 958297857, -1, 279676936, 514136142, 298141131, 487418253, 373882116, 919431473, 119185779, 72820174, 395386035, 645895262, 514859969, 186956551, -1, 904963384, -1, 190308614, 835330766, 165195539, 85687063, -1, 221367339, 217909825, 516727774, 589040484, 725078092, 179389326, -1, 284711448, 801729257, 326006573, 117551686, 55456601, 506394150, 584606700, 285587275, 916303101, 135882177, 32544192, -1, -1, -1, 139546928, 478644502, 728609928, -1, -1, 720747883, 569827060, 880847475, 829679227, -1, 475789429, -1, 839913275, -1, 178029218, 131730172, 104201329, 743370437, 445880692, 999812123, -1, 319337676, -1, -1, 250667655, 714608230, 756184399, 281789888, 245900940, 281181858, -1, 666118574, 142507719, 718588900, -1, 962409181, -1, 934500492, -1, 467436464, 718708520, 227237535, 289656613, -1, 591765138, 360882146, 559717889, 13550819, -1, 819684687, 377041863, 439588779, 335656995, 128010147, 424841961, 694723443, -1, 331453608, 154786961, 174277611, -1, 293659969, -1, 756981312, 457098618, 389912135, 264377968, -1, -1, 175960183, 267081123, -1, 14133970, 339238465, 358167148, 821450638, 482359021, 379576062, -1, 124722208, -1, 156643326, 425718029, -1, 563342168, 908392052, 658286689, 377018909, -1, 158096298, 395469635, -1, 613211476, 668890099, 576279389, -1, -1, 489654053, 253914305, 841161937, -1, 127905458, 90144680, 824702855, 773134072, 698810635, 175569026, 598733154, -1, 772848506, -1, 255475686, -1, -1, 900307990, -1, 131889488, 368332213, 127998388, 654865101, 506530665, 311677682, 261807481, 362708415, 143893955, 339165504, 706154128, 518915540, 571373191, 717286245, 829967756, 679223111, -1, -1, 602306098, -1, 643463704, 345909805, 651226246, 191705433, 639257236, 498117547, -1, 937156516, 300781983, 485114822, -1, 217202812, 449387769, 337493301, 304962129, 70648418, 658379701, 914575950, 273483836, 2902712, 140030342, 245384847, -1, -1, 39811004, 748552882, 48275981, 58196252, -1, 398376700, 194153253, 324739230, 951264758, 481776951, -1, 904327728, -1, 499315654, -1, 546910128, 262133062, 441183455, -1, 244307062, 488868504, 364769741, 106571645, 167126109, 637502841, 135187499, 112850490, 635499732, 4617873, 333741684, 241129161, 469499023, 969284458, 122582032, -1, -1, -1, -1, -1, 567928464, 536870612, -1, 60389102, 705812933, 367555265, 675959197, 365794464, -1, 59731649, 1026585, 585018874, 239535739, -1, 931326144, 653413633, 337261405, 633698032, 849796167, 360905567, -1, -1, 106926389, -1, 426164466, -1, 381745527, 764671219, 743750556, 454554825, 887192211, -1, -1, 927713216, -1, -1, 78134117, -1, 472997161, -1, -1, 296644929, 8970542, 1810694, 50548450, 533380867, 339156604, -1, -1, 980872981, 211768003, 147514714, -1, 804389638, 613429474, -1, 443283539, 209779237, 794346082, 351292484, 834524519, -1, -1, 291121240, -1, 989520494, 440776717, 464131903, -1, 604814693, -1, 869015197, 553926273, 472847685, 963086563, 496047087, -1, 915892788, 481804523, 536072390, -1, -1, 643943519, -1, 613194080, 233505737, 321407264, 284517580, 626067232, -1, -1, 690249808, 114852086, 904859914, -1, -1, 622486615, 359575888, -1, -1, 734728865, -1, -1, -1, 9415522, 529996650, 451979121, 339903617, 5400925, 251633844, 962355929, 26287671, -1, 574167522, -1, -1, 195836354, 780431759, 795771222, 980508163, 807988666, -1, -1, 85140150, -1, 143399167, 977362295, -1, 141454340, 61412669, 850465212, -1, 480602931, -1, 618080133, 550831625, 899832715, 267242819, 103113533, 862465522, 849352827, -1, 897568981, 27014925, -1, 481581851, -1, 241526530, -1, 786694366, 478579431, 612758187, 148160459, -1, 125003598, 735729723, -1, -1, 16713341, -1, 448375325, 479670220, -1, 936013134, 935796440, 641002766, 75328366, 53539954, -1, -1, 282985591, 534750059, 545219864, -1, 305286448, 818629490, 194983260, 873638961, 117088346, 309718907, 940838717, -1, 832745024, 71414136, 20589534, 258926389, -1, 236067962, -1, -1, -1, 400011464, -1, -1, 614328898, -1, -1, -1, -1, 978416473, 158475776, 872773089, -1, 696555672, 288543312, -1, -1, 473479052, 375676844, 520028122, 181582771, -1, 951457636, 313177328, 989925781, -1, 21482100, 256592002, 933990897, 858706992, -1, 255231844, 453611913, 227718694, 969348656, 629402062, 178308512, 893782482, 509869678, -1, 11695178, -1, -1, -1, -1, 647580378, 135813211, -1, 527141786, -1, 654091422, 848257116, 477083782, 901722783, 316621062, 46086387, 465565683, 790513239, 505660717, 227125232, 214741753, 339822959, -1, 93145053, 465761431, 545327423, 704852649, 219430849, -1, 17276403, 310159880, 187795311, 124638315, 585480537, 860692412, 976522989, 695218649, 633718454, 623768682, 336165006, -1, 61978358, -1, 721668626, 420817463, 705751864, 408229357, 983415369, 339692347, 565646241, 804561983, -1, -1, 880646207, 595137354, 315272328, 463156273, 455091321, -1, 972417356, -1, 698911715, 51527282, 32107195, 172656156, -1, -1, 968862376, -1, -1, -1, 970553707, 266651546, 271149916, 970603374, 260308615, -1, 582540213, 968309100, 201183024, 537754671, -1, 922736853, 228274243, -1, 503374026, -1, 494383954, 416283241, 248979819, -1, 882002099, 176060404, 448607285, 516035067, -1, -1, 250105626, 334396168, 391381027, 536976384, 635565845, 425627283, 124916816, -1, 8015109, -1, 929848643, -1, -1, 447224417, 86100300, 995579154, -1, 834287478, 276174827, 618504295, 116211232, -1, 213086785, -1, 471215357, -1, 992840187, -1, 249708389, -1, 893918381, 24852886, -1, 722836582, 373647106, 521935918, 78917050, -1, 174462233, 835943651, 664983127, 38406082, 436896856, 933686857, -1, 657072544, 43057285, 882958016, -1, 884342469, 768142362, -1, 524186282, 741907217, 977923245, -1, -1, 415470027, 30950468, 202815850, -1, -1, -1, 790712770, -1, -1, -1, -1, -1, -1, 483634113, 219198852, -1, -1, -1, 237416412, 288037477, -1, -1, 676308859, -1, 741996812, 457556641, 491821755, 316621528, 187188224, -1, -1, 945015170, -1, -1, -1, 352860971, 88402211, 750884252, 989961892, -1, -1, 708075573, 592039159, 178934467, -1, 209391474, 201604263, 993492752, -1, 328609956, -1, 827138129, -1, 270347147, -1, -1, -1, 614897153, -1, 73437872, 288029824, 831940197, 586269852, -1, 431385120, 385964422, 283024880, 35903391, 596580485, 185725462, 98988904, -1, 535200213, 198988684, -1, 292495069, 900994720, 73667189, 644578627, 849975886, 543721067, 309887057, 780360711, 550787633, 600515025, -1, 91001180, -1, 49837148, 794992242, 663548003, 419301866, 116974156, 524681245, -1, 240529508, -1, 926625224, 907753740, -1, 6909889, 321984715, -1, 331338842, -1, 722059628, -1, 768443077, 246650788, -1, 843270724, 283796224, 138778574, -1, 793269339, 623858118, 990630796, -1, 964512034, -1, -1, 100349194, 353189251, 196974528, 471377725, 687569433, 745270050, -1, 243600100, 613028108, 969039650, 903923334, 308430042, 391150761, -1, 156935047, 723910914, 663688616, 568913176, 506328991, 811490991, 621585868, 621961664, 280335079, -1, -1, 871805649, 295543837, -1, 915450937, 699269268, 544068423, 440936325, 210407726, 163699643, -1, 77289198, 718704877, 407802727, -1, 263871625, 849551404, 909188134, -1, -1, 698110680, 536388569, -1, 207261296, 699107611, -1, -1, -1, 361164933, -1, -1, 152856653, 816336213, 268728633, 484527742, 704123307, 861931031, -1, 410151816, 157101631, -1, -1, 448098526, -1, 444283546, 82042905, -1, 84574557, 365340699, 8184274, -1, 645405138, -1, 187867726, -1, -1, 608938737, 465368536, -1, -1, -1, -1, -1, -1, -1, -1, 795873185, 206030644, 614200099, 124975403, 853770769, -1, 306636336, -1, 882175563, -1, 582086872, -1, 969582521, 420032453, 821971332, 27353321, 823894822, 351269558, 977476296, -1, 525107140, 6688740, 121978978, 423387541, 612239213, -1, 901162, 221877344, 566605075, -1, 56493014, 872852626, -1, 600288905, -1, 472464885, -1, 772256787, -1, -1, 516520619, -1, -1, 848402595, 874814487, 438639153, -1, 912809237, 844430359, 488669863, 589911325, -1, 297991294, -1, -1, -1, 142568915, 96557438, 370836756, 668438517, 95401300, 184294168, 560923514, 663693259, -1, -1, 623977355, 910162403, 98683798, 749659581, 374127673, 912157502, 506174700, -1, -1, -1, -1, 568357530, -1, 376302165, 618290279, 100017320, 911491391, 589806459, 845402972, -1, 615559022, 78544627, 690826104, 220452746, -1, 860403594, 897019120, 637544607, 20036866, -1, 160104184, 554286330, -1, 449394659, -1, 966721505, 83257874, -1, -1, 713231712, 587735018, 942806338, 875864209, -1, -1, 586636927, -1, 316313686, -1, 904650772, -1, -1, 156647766, 338728677, 883883288, 476212414, 322195643, 624158188, -1, 10747098, 665557635, 457834267, 159591874, -1, 575950849, 814734379, -1, -1, 534944920, -1, 553275146, 546001023, -1, 902426430, 684228288, 231587301, -1, -1, -1, 811828865, 790615232, 992186838, 94678385, -1, -1, 97148578, 764263259, 485043337, 569669424, 453042549, -1, 832537528, 621749450, -1, 557440441, 479547262, 799786747, 116022939, 825250036, -1, 410084310, 262376904, -1, 357443231, 129129567, 558391034, 639464612, 819086646, 854875398, 300394316, -1, 414094631, 756330906, 736875102, -1, 953968775, 712567927, 908020261, 610858807, 61780322, 497044370, 242619565, 935465635, 945545798, 302254941, 278423142, -1, 966511171, 927239652, -1, -1, -1, -1, -1, 402313626, 637154522, 319856995, 481961716, 21726065, 141830206, 134377678, 929795974, 557790815, 745273642, 816366231, -1, 95433159, 459832899, 24210851, -1, 317175438, 497079031, -1, -1, 311886729, 194629017, 290649093, 7291063, 528678241, -1, 672254150, -1, -1, 403468668, -1, -1, -1, 447850503, 708758773, 509093590, 581904583, 797610872, 175092681, 662343689, 813389426, -1, 579481434, 48905799, 461519114, 615975621, -1, -1, -1, -1, 143829071, 972364208, 836646080, -1, 981810361, 816685230, 372508965, 409692777, 383359021, 479693494, 582388949, 51193722, -1, -1, 569756011, 776388755, 598816046, -1, 249628718, 451364520, 848774592, 278228400, -1, 116482153, 856600720, -1, 984321064, 445393813, -1, 431510530, -1, -1, 862980051, 432869407, -1, 96712654, 704200355, 481134531, -1, -1, 911021655, -1, 44407410, 911933794, -1, -1, 234583214, 201955422, 182246925, -1, -1, 308649911, -1, 856837129, 882764687, 494488088, -1, -1, 714099920, -1, -1, 195621403, 992773126, -1, 924587377, 415888821, -1, -1, 300489168, 934629846, 977710096, 194158161, -1, 130166361, 573807734, 236402908, -1, 893487317, 833791776, 454518917, -1, -1, -1, 291486850, -1, 36711340, -1, 202165435, 923101434, 16783361, 783106127, -1, 330486856, 910018859, 672185625, 77957357, 248876800, -1, 704275168, -1, 378410424, 252275738, -1, 894138956, 320496090, 769255746, 405542938, 236145072, 960112186, 361755655, -1, 497753286, 6488547, 494077232, -1, 838159424, 549189764, 689362902, 334510811, 853480878, 586055700, -1, -1, 540658906, -1, -1, 419926248, 811566724, 935551842, -1, -1, -1, 604548740, -1, 442691632, 900245546, -1, -1, 604318724, 231773379, 810775415, 616989960, -1, -1, -1, -1, 547390185, 721830846, 129627428, -1, 33735026, 597183880, 595508298, 369704149, 746548258, 995898605, 666366013, 756881684, -1, 253314312, 467295883, -1, -1, -1, -1, -1, -1, -1, 498200274, 589863142, -1, 765368692, 550458435, 638246973, 22039503, 329528586, 17690561, 264315754, 173099708, 917934061, -1, -1, 568122320, -1, 765409093, -1, 882961836, 367710701, 945964713, 979116895, 876509044, 270431167, 197988342, 302268499, 803561279, -1, 135711604, 606920767, 883939701, 877179943, 510245398, 384495633, 223760007, 736177012, -1, 593830509, 887977060, -1, 847370618, -1, -1, 891569784, 795941519, 103309668, -1, 545618611, 348294004, 326928471, 614318921, 701824012, 386653297, 923174585, 712643233, -1, 991192728, 225212905, -1, 606499323, 657829413, 400584485, 514606865, 181422663, 402171865, 161968823, 501049784, 695546803, 160950617, -1, 690800498, -1, 391090529, 228105479, 247069080, 863976865, -1, -1, 806625610, -1, 186763350, 849250000, 559873108, -1, 337453654, 897382655, 469136985, 26061157, -1, 139458092, -1, 179177926, -1, 868042657, 864654876, -1, -1, 288823292, 336275561, 277883218, 872818331, 720009038, 562124777, -1, -1, 924904650, 899793527, 255102837, -1, 871234168, 102363097, -1, 570823329, -1, 633631435, -1, 187924882, 173122417, 334799882, -1, 654161256, -1, 207009081, 922221784, 572690617, -1, 330542454, 778254638, -1, 56892955, 362366535, -1, 82036087, 440745185, -1, 524177020, 404226625, 18086923, 215535602, -1, -1, -1, 963667207, 730374130, -1, 48160733, -1, 495840177, -1, -1, 693544636, -1, 281302322, 461714060, 70601578, -1, 897038500, 372489421, -1, 107241975, 233711460, 747765339, 418452846, 159788133, -1, 195564177, 136885025, 962049510, 888763838, 261935166, 909908792, 660674626, -1, 516353703, 969753198, 121316758, 965858906, -1, -1, 347502720, 441311230, -1, 511681563, 468945937, 978105165, 466508643, -1, 143844194, 241282968, 125433265, 187061306, 384859753, 792390491, 262618335, -1, 775207849, 917800814, 357969948, 688028814, 757935650, -1, 702070540, 812059118, -1, 561412635, -1, 486133384, 337004657, -1, -1, -1, -1, 342471849, -1, 563215894, -1, 455852697, -1, -1, 623915993, 114150314, -1, 190264332, 357399309, 567810036, 878624969, 531028390, 969993386, 785986047, 485837984, 397574678, 243625080, 435301927, 102527274, 539511263, 864612316, 122870019, 268494573, 303235915, 149532384, -1, 309358258, 458739472, 199610595, 29499194, 474358037, 576495821, 904776034, -1, 404341990, 747196475, -1, 500589638, -1, 378909530, 111277819, -1, 786872135, -1, 455441431, 248366640, 239797338, 26539725, 56822753, -1, -1, -1, 873844940, 695860342, 401822127, 181858006, 861634674, 339462369, 517203943, 324454408, -1, 794260059, 14294096, 797589059, 867770663, -1, 712724875, -1, -1, 584967328, 484122321, 694269394, -1, 471778381, 982701710, -1, -1, -1, 82723837, -1, 423577502, -1, 544205175, 980952279, 364906544, 364450666, -1, 518984322, -1, 675684392, 342624560, -1, -1, 362907308, 121523932, -1, 515030830, 410605606, 761997671, 799079516, 304661319, 750962219, -1, -1, 151517896, 661113165, -1, 519017200, 315188040, 893706849, -1, -1, -1, 237808251, 122420299, -1, -1, 702015313, 953070437, 116446442, 358868623, 192047569, 534074257, 187571352, 305031614, -1, 530394945, -1, 955134492, 410839059, 695041647, -1, -1, 995350773, 270342506, 531731976, 92702779, -1, -1, -1, 298670876, 214810948, 380617197, 938133394, 587113751, 208629041, 237179688, 683621511, 720183984, 460824756, 299481686, -1, 238142867, 673791149, 363526200, -1, 276741624, 710793243, 167332225, 877242118, 167453145, 30373349, -1, 916628594, -1, 720036729, 354935871, 807455003, -1, 466639957, 184666101, 227853144, -1, -1, 440144314, -1, -1, 412049736, 505883617, 247515307, 320524092, -1, 659361525, -1, 268317104, 707936309, 626328659, -1, 476925223, 319811160, -1, -1, 217902796, 380209802, 920816668, 199608893, 413763362, 894592101, -1, -1, 534684237, -1, 968125373, 124521759, 795580392, 658231181, 149917037, 832226384, 6772906, 622099667, -1, 387051153, -1, -1, 802663462, 788511757, 430380807, -1, -1, 17459293, -1, 596535061, -1, 430286218, 960959035, 877579377, -1, 21077934, 907982887, -1, 732448617, -1, -1, 343920657, 947676939, -1, 462487265, 490946289, 241174811, 8242448, -1, -1, 486051494, -1, -1, 492569126, 592132207, -1, -1, 497441147, 193156491, 194566796, 908492994, -1, -1, 483891811, 837122373, 89792931, -1, -1, 353012061, 317726316, 219760324, 671665848, 338998189, -1, -1, 507361801, 580019868, 902019775, -1, 347348686, 341544440, 991835353, 125861622, 401756335, 676355813, 213220049, 169557853, 991744295, -1, -1, -1, -1, -1, 421935134, 375138707, 335156308, 676260002, -1, -1, 156275307, 572240047, -1, 313732985, 898160917, 957264015, -1, 138146839, -1, 247351137, -1, 166037242, 82216213, 590976998, 545271729, -1, -1, 164183660, 628243722, 848324485, 382059937, 220933909, 498694715, -1, -1, -1, 274405698, 929750264, 194413765, 147872318, 580566087, 376915000, 907365857, -1, 703027357, -1, 341451825, -1, 654512794, 971367705, 155542921, -1, 211313677, 624250897, 339573725, 457616061, -1, 652330566, 394576112, 320852196, -1, 437174815, 557748575, -1, 233549303, 237515691, 288215126, 559993393, 698848828, -1, 184990, 910995914, -1, 137578082, 179855042, 606383715, -1, -1, -1, 674790684, -1, 820794036, 722201224, 506697661, -1, -1, 488665643, 723488436, 107530750, 476699715, 374075591, 969979563, -1, 294153740, -1, -1, 740839457, 686347984, -1, 225890072, -1, -1, 280861941, 828810212, 276732835, 132036983, 272408286, -1, 830973747, -1, 777523519, 356287556, 582828906, 821483807, 125793039, 163087195, -1, 590444531, -1, -1, 574394438, 130498015, 396884112, 61119776, 855703500, 420766893, 159553450, 834979055, 780932370, -1, 833322706, 397120911, 875075402, 521226462, 664052080, 977126236, 347287396, 84010941, 834430489, 485510990, 214584904, -1, -1, 504397325, 547150199, 737881700, 833516764, 108125787, 868855792, 209362829, 844765161, 356495475, -1, 645700345, 300975954, 129205152, 363810869, 293813659, 309269315, -1, 662376156, 835732017, -1, -1, 668854303, 220850779, -1, 600814557, 902373991, 438739051, 314975264, 591350079, 143028770, 495787821, 710800657, 130681889, 892539814, -1, -1, 68118626, 221667404, 572439717, 635561006, 272087489, 632060727, 827965585, -1, -1, -1, 953945535, 970193508, 395528174, 633391641, 953415060, -1, 311148027, 34133675, -1, 395145221, 431365180, 856751073, 1945588, -1, 886635716, 56785645, 954900518, 142174785, -1, 572468139, 34784351, 46872467, 277674430, 238523052, 997849483, 163904482, 998639318, -1, 744694309, 32654955, -1, 153119137, 399470861, -1, 753030783, -1, 45605451, -1, -1, 712234167, 871801223, 579021224, 518666521, 774788068, 648954352, -1, -1, -1, 78600966, -1, 291008388, 720809038, 296784312, 813840093, -1, 574862027, 972288776, 679536919, 168898666, 705966740, 385120065, 767112167, 829872836, 517012799, -1, 742208494, 898478437, 442664307, 22916672, 377536802, 983546898, -1, 395184703, -1, 346133097, 266641136, 557487562, 447279394, -1, 127185654, -1, -1, 893264059, 378716116, 996579562, 746091694, -1, 33669698, -1, 531175940, 394235874, 276845005, -1, 959594977, 800958523, 466972274, 429088586, 332615559, 620403367, 561506236, -1, 530332499, -1, 315185852, -1, -1, 42751497, 194964501, 143977492, 297305910, 726021468, 651176930, 968249981, 830173020, 330498688, -1, 729857176, -1, 864337707, -1, 336829912, 92396623, -1, 91319438, 817401754, -1, 842991509, 859548576, 522036940, -1, 175570440, -1, -1, 794500723, 703587222, 31008804, 751791675, 541541385, 322966139, -1, -1, 650253947, 421954779, 718366133, 129995057, -1, 389034130, 500361797, 852716930, 851166979, -1, 743665892, -1, 578276047, 715839737, 540971023, 718165618, 206581198, 353568356, -1, 723297598, 752734005, 900234196, 835695535, 489404751, -1, 2512988, 340392458, -1, 519600706, 590172193, 673715958, 444466079, -1, 855980867, 410797873, 240382819, 990564287, 726742061, 684974258, 153494344, 80566739, 400007701, -1, 785889798, 927947254, 272348991, 457205794, -1, 373553815, -1, -1, 140990709, 764742867, 260880512, -1, 593361369, -1, -1, -1, -1, 201121231, 237232597, 376401249, -1, 312705997, -1, 787863456, 494098032, 516394824, -1, 79832721, 450735313, -1, 917515276, 849495248, 340098533, 136630379, 883609008, 650185569, -1, -1, 157957510, 33753721, 769415858, 123525906, -1, -1, 662177644, 5398623, 343672373, 211330534, 551121330, 136674337, 61481684, 677577985, 393194075, 160368929, -1, 663217464, 801295749, 239242835, 434337186, 316981843, 764357767, 374854501, 165120016, 796871881, 382580058, 706863158, 501228563, 973942839, -1, 950177383, 202049489, 20265361, 259141775, 777415139, 669905096, 846316790, 39516947, 565119391, 667571696, -1, 601655108, -1, -1, -1, -1, -1, 17589119, -1, -1, 573353581, -1, -1, -1, 88676132, 832914234, 603639864, 905717325, 47305557, 553949598, -1, 305448431, -1, 554484939, 921009251, 801381053, 66379139, -1, 733212251, -1, 260994791, 939753066, 92546903, -1, 465607061, 709246145, 294097906, -1, -1, -1, -1, 5269691, 615393879, 79921838, -1, 68921861, -1, -1, 794931715, 603705256, 59336402, -1, 215449187, -1, 432079671, 81618007, 252356810, 705896414, -1, -1, 810719312, -1, -1, 551794254, -1, 186921197, -1, 733864120, -1, 116842436, 853807369, -1, 300974554, 898147596, 830854219, 991874912, 689505729, -1, 35702845, 805858779, -1, 728370927, 374180685, -1, 250147911, -1, 13109062, 145606965, 684834933, 227987611, 24378162, -1, -1, -1, 516210574, 133983538, 695193035, 360313268, 859831416, -1, 270001720, 750231108, 156443872, 355469881, 235887770, 13956823, -1, 758910853, 652492221, 18574260, 124378142, 312552587, 56151089, 909119046, 31508596, 176650247, 401158193, -1, 36720184, -1, 54153900, 371414387, 653677790, 363133173, 989438809, 234253309, 822782571, 428358529, 918361305, 826317842, 116794222, -1, -1, 220755405, 843726134, -1, -1, 697367348, 912391524, 897532479, 843621059, 604473290, 599105787, 976097040, -1, 958999944, 275283281, 438217612, 468740560, -1, 640461250, 676876577, -1, -1, 205710835, -1, 748529406, -1, 141272278, 317301998, 727153411, 615702241, 484627629, 184232642, 74317861, -1, 675385928, -1, 802113877, 838835218, 452372414, 594745083, -1, 197967643, -1, 463665512, -1, 916255942, 764174092, -1, -1, 585926384, 79792391, 202849583, -1, 492971533, 418978308, 576564842, 314556912, 311555602, 235937694, 964218669, 698399796, -1, 811007602, 619224499, 121410469, 284255496, 812832582, 900313862, 996680183, -1, 235964481, 116231312, 847920823, 996057878, -1, 560653659, 661275038, 662551347, 397231943, 824937567, 909340834, -1, 873796457, 764129350, -1, 572546302, 427780934, 357914249, 16021414, 357891630, -1, 781445224, 972796979, 160172567, -1, 862261908, 53517455, 878677447, 518699789, 856656367, -1, -1, -1, -1, 717962625, 638962058, -1, 189090353, 771021424, 476639272, -1, 183057984, 554561759, -1, 725296390, 883450763, 672977863, -1, 630971255, -1, 555946770, 659185922, -1, 282128576, 880686304, 355704801, 726101816, 191767255, -1, 202361488, 88057563, -1, 873640691, 816770923, 896262042, 876501038, 143588877, 292832824, -1, 450893035, 984407812, 314705705, 134086722, -1, 433729119, 12901251, 280186598, -1, 80844486, 803452873, 240227819, 746406729, 968586787, 848124965, 308183453, 65257477, -1, -1, 856151311, 175796123, -1, 687636922, 770084179, 80585408, 488150748, 117759760, 966131268, 16352322, 708065311, -1, 512759350, -1, 668571277, 652177946, 618092916, 636681320, 690970914, 888525459, 636639786, 774753393, 659355368, -1, 199657817, 884203182, -1, 707127392, -1, 822561874, -1, -1, -1, -1, -1, 246676132, -1, -1, 91815753, -1, 983440986, 636366320, 206751006, 281003922, -1, -1, 548657080, 715215789, -1, -1, -1, 608111147, 356961600, 393161746, 479071520, 436818961, 632838979, 112191248, 466655590, -1, -1, 967512099, 227167263, 945158459, 547910043, 480576106, 896299094, 74560210, -1, 153526489, 594271034, -1, -1, 446030572, 753394342, 835414978, 120561177, 345692294, 633340541, 339290979, 537059220, 276553432, -1, 339941791, 728830486, 228343640, -1, 697481017, -1, -1, -1, 969394065, 598995149, 400423102, -1, 100457646, -1, 224871643, 998243389, -1, 330064481, 36010265, -1, 944643366, -1, -1, -1, 266569478, 719239197, 28441238, 379866041, 297494640, 924451744, 800206770, 292524796, 356949766, 581019187, -1, -1, 529398394, 864015855, 374515996, 514321896, 994906862, -1, 181214182, 825108122, 458617242, 784621886, 217832902, 33680223, 212701790, 535574205, 914887466, -1, 577621331, -1, 283890503, 15596786, 115837627, 333607197, 269856181, -1, -1, 96299680, -1, 543912707, -1, -1, -1, -1, 508032452, 438899396, 260188292, 972352171, 602891488, -1, -1, -1, 644623536, 41825942, -1, 816591402, -1, 119441698, 160377101, 908394209, -1, 842706777, 7062977, -1, 351097804, 358405585, -1, 784606623, 794247199, 389723175, 498999358, 653791711, 905200825, -1, 654989776, 833778336, 576215217, -1, -1, 659340200, 121399493, -1, 419148187, -1, 663721115, 898184695, 371586158, 743359819, 412557648, 123027546, -1, 416598287, -1, 515195474, 345795146, 162633618, 255214521, -1, 81548143, -1, -1, 954532532, 126991672, 301543674, -1, -1, 151489742, -1, -1, 460276964, 462620461, 502692714, 604728743, 621627719, -1, 819557776, -1, 728115914, -1, 436908480, 594313962, 715589898, 459186225, 556149527, 862445316, 864144245, 947668302, 233226237, -1, -1, -1, 132758140, 174219253, -1, 276033598, -1, -1, 229944799, 245898075, 118513934, -1, 632196402, 706780333, 704750381, 509520794, 587774589, -1, 565283423, 287507823, 733089459, 769970446, 686768550, 573492094, 204391554, 598379964, 212036793, 541694871, 780800474, 517345379, 117062891, 514306292, 294839715, 936080926, 970664567, 25292602, 422747947, 92458954, 649554814, -1, 401389344, 836891067, -1, 174724484, 103807923, -1, -1, 639832077, 706360004, -1, 739914620, 178503350, 929019459, 925406891, 317465220, 357993864, 841435760, 713954545, 93312827, 78142658, 161834643, 870701049, -1, -1, 156631058, 214650930, 550274557, 23299387, 45311855, 313399455, 355272687, -1, -1, 96904237, -1, 19501459, -1, 791391450, 221751733, 879821161, 938159877, 9281655, -1, 741784695, 492437421, 785990772, -1, -1, 895171395, 451021298, 506934207, -1, 299049718, 630021871, 791756110, -1, -1, 511090192, -1, -1, -1, -1, 909321558, 820945168, 200323196, -1, 385384490, 669850380, 455641321, -1, -1, 326264758, 378501378, 826192258, 962051163, -1, 444542500, 439373618, 35610091, -1, -1, 592335304, 190758285, 620108843, 427627832, 590128993, 327785061, 581943476, 215222962, -1, 419819383, 98430899, 816122794, 798691122, 743112432, 222476903, -1, -1, 167350746, -1, 473871165, 182239698, 42843400, 857985473, 678556524, -1, 115678437, -1, 680257111, 88170015, 401656503, 228459659, -1, -1, 613982179, 223171690, -1, 406290056, 212423290, 754607051, 89461022, -1, -1, 415172069, 427217294, 682656594, 245274283, 370278935, -1, 850935156, 391531710, -1, 508924067, 79023382, 388229027, 595289612, -1, 371172865, 724863195, -1, -1, 629268601, 675371941, 809497208, 143532158, 205424136, -1, 283897118, 26332315, -1, 577526313, 645544470, -1, 576684057, -1, 387394934, -1, 65271633, -1, -1, 626752075, 717118529, -1, 805049645, 283901426, 285131607, 658734383, 492608487, -1, 19348350, 642237232, 336648466, -1, 955259694, -1, -1, 85085576, 117991180, 653250541, 416434052, -1, 763078514, -1, 97138388, 75567136, -1, 950355622, 6387324, -1, 503528939, 885871758, 444808532, 158898251, 603936155, -1, 508548376, -1, -1, -1, 204509952, 610379971, -1, -1, 390075303, 118909388, 823684491, 42216659, -1, 562547442, 16813437, 701942911, 444556850, 412128256, 740492125, 332598607, -1, 229151236, 295724251, -1, 625726971, -1, 325582141, 913321848, 258030695, 579647016, 624015994, -1, 432525951, 368029647, -1, -1, 575301102, 462726612, 703213495, 932767851, -1, 813657200, 544149145, 600053679, 937815944, 509125528, 169791287, 542683053, -1, -1, 851949695, -1, 511592531, 125546571, 5865855, -1, -1, 980737311, 320290002, -1, 234092937, -1, -1, 307301040, -1, 220487321, 249116479, 12518292, 574484074, 542526193, 773537196, -1, 46527146, 724114397, 760972304, 976976552, 198345964, 953625707, -1, 72782746, -1, 247664750, 144303561, 820449607, 144831635, -1, 222767782, 392479771, 328199585, -1, 258357615, 57814403, 521094982, 275028647, 496976783, -1, 677774416, 764086825, 636646371, -1, 742300952, 377977437, -1, 526257995, -1, 754438971, 197390870, 89788328, 871971048, 884595451, 341507526, 160113773, 847616990, -1, -1, 344188915, 441036992, 85088274, 55498430, 464603127, 380031222, 563223123, 636053294, 471823265, -1, 705270291, 342954200, -1, -1, 404743417, 278938022, -1, 732604509, -1, -1, 724259292, 695698107, 110690140, -1, 113984987, 760944227, 826626177, 670104815, 611881928, 297233814, 588348882, 684671307, -1, 925314374, 781770045, 167312995, -1, 602357792, 571123320, 844702792, 996458934, -1, -1, -1, -1, 331740024, 670297256, 641541372, 335647428, -1, 533718800, 331255799, -1, -1, -1, 323485777, 447741464, 436560674, 413944956, -1, -1, 437722085, 565969883, 231544821, 815545121, -1, 234310579, 617350173, -1, 611289733, -1, 906651685, 34338530, 56903960, 172728035, -1, 677174034, 720510999, -1, 532812790, 558544007, 250311552, -1, 743370004, 817343011, 897404721, 729067484, -1, 531279515, 614982768, 163266355, -1, 441510668, 115952376, 128495660, 558378025, -1, 586508197, 683821818, -1, 10102929, 774139177, -1, 996379767, -1, 871906981, 838911567, 819686090, 924538482, 995350100, 794853270, 33409698, 960930755, 742439212, 761968882, -1, -1, 122500018, 392212852, -1, -1, 778767410, -1, 3613510, -1, 567560423, -1, -1, 530436717, 469995521, -1, 298207171, 135234039, 848673718, 404597117, -1, 422163241, 241536212, 388619804, 681692692, 624968344, 874084508, -1, 851687607, 510530613, 293048904, 665127202, 285542826, 579617098, -1, 76626908, 287633440, -1, 106719480, 115615541, -1, 861543470, -1, 978455136, -1, 499364672, -1, 145190083, 331390665, -1, 552168651, 91164253, 650026599, 981455430, 439337962, 569187910, 58889432, -1, 975468641, 882457702, 519123497, 596119811, -1, 436517798, 979357521, -1, 908573015, -1, 666888184, 842864103, -1, 878926589, 233779215, 234670546, -1, 291588264, -1, 804414386, 947095866, 483329547, 79472516, 563551056, 205002722, -1, 581439295, -1, 482282858, 567263445, 454051559, -1, -1, 491060395, 403942741, -1, 688409965, -1, -1, 539342839, -1, 431492793, 235040641, 679306912, 306758478, -1, -1, 392110460, 366959932, 235885516, 368170472, 844128705, 457214958, 619267714, -1, -1, 200140092, 814350752, -1, 61393142, 858526007, -1, -1, 161194403, 880485489, 702382915, 76849231, 283900857, 430380231, 707784391, 365362179, -1, 988501785, -1, 7262414, -1, -1, 106122788, 115605055, 215656364, 344713525, 471931077, 472337292, 754537572, 338611574, 719666938, 118149097, 209160073, 893557260, 125153003, -1, 693405375, 71208218, 317756856, 621706958, 794993606, -1, 497409028, 225219397, 944572589, 65075217, 107683772, 215606594, 134293345, 245057566, 799169292, -1, 57904578, 842964357, 947176930, -1, -1, 235415780, -1, -1, 181666587, -1, 891403633, 889617009, 532828211, 528671996, 539403272, 809007455, 400037165, 444197038, 155117162, 179764373, 213401981, -1, 917443984, -1, 256262436, -1, 891528463, 102503422, 931269875, 230590914, 708393923, 795437145, 291068164, 499723434, 992466908, 99310382, 776965361, -1, -1, -1, 564465162, 198831586, -1, -1, 767400137, 372715020, 535466402, -1, -1, 666619734, 705942424, 228776214, 544157735, 748363181, -1, -1, 258748369, 99864883, 587105358, 519900339, -1, -1, 399423030, 688776923, -1, 755388874, 847306226, 392268217, -1, 519989321, -1, 446054721, -1, 543139193, 951341310, -1, -1, 181507649, 144589068, 98509048, -1, 415616492, 394817062, 301768418, 148135930, -1, -1, 572273327, 534869368, 779108494, 769529622, -1, 869166196, 845248224, 307106457, 953214252, 359391649, 421779075, 494213463, -1, 929547967, 202571450, 285365033, 367297707, -1, -1, 421146113, 98933977, 905409724, 344929764, 840496154, 202493435, 51561340, -1, 98232385, -1, 833858842, 481415429, 136517371, 403616123, 183643887, 120518867, 498716983, 81849161, 387724348, 681079040, 563892658, 350538447, 390134954, 358794173, 625281143, 131656758, 472988519, 356830308, 35237471, 28239224, 340233047, 55101236, -1, -1, 569993474, 621113499, 412445644, -1, -1, 916291999, 705126856, 34612081, 898346721, 117372269, -1, 393625633, -1, -1, 971008739, -1, 853387268, 720446905, 690398439, 188642341, -1, -1, -1, 537740479, 124133896, -1, 769414746, 158961654, 617454589, 240316297, 261455007, -1, 964784394, 585197143, 102540995, 693522905, -1, 353358523, 863845145, 492546702, 398915301, 547739456, 789392219, -1, 935614514, 343504060, 555000076, -1, 450840718, 634173552, 100191937, 976206436, 959883089, -1, 49522929, 166705943, 299222469, -1, -1, 599377222, 827545748, -1, 262283189, 503992514, 150340004, 117878026, 343682633, 924727121, 934812800, 178203440, 531463748, 228216576, -1, -1, -1, 533352545, -1, -1, -1, 906926780, -1, 526124773, 989358140, -1, 500948981, -1, 384972637, 985031935, 39920495, 953716412, -1, 807649576, -1, 957606363, 279011996, 990117503, 815855758, 373868904, 162572917, -1, 666455135, 943961841, 659733374, -1, 249072893, 284193552, 356291272, -1, -1, 320242010, -1, 100787781, 109227089, -1, -1, 420672061, 749909875, -1, 673598275, 550089193, 584746049, 722533817, 793519392, 420525521, 295730918, -1, 339088597, 166359369, 861425016, 511300402, 739558765, 971370116, 938952601, 631989742, 573504558, 901203408, -1, -1, 145532395, 975116424, 883854473, 807699103, 139485530, -1, 661261037, 733478305, 119810759, -1, 786614437, 781280851, 9755162, 447584002, 366415178, -1, 158902336, 188467506, -1, -1, -1, 257198024, 539542077, 515378102, -1, 294687890, -1, -1, 509606760, -1, -1, -1, 428388053, 729587698, 745191466, 560647327, 414607278, -1, -1, 668861670, 713203995, 78936742, 844047404, -1, 536436286, 290215446, 573469179, 90866254, 305848729, 930225540, 378781410, 389254454, -1, -1, 573275340, 562587591, 249929047, -1, 447200307, 533646948, 406490723, -1, 681156986, 542317419, 798587794, 786677373, 519149164, -1, 484251400, 176086969, -1, -1, 944743872, 548391053, 569943678, 995050912, -1, 835745274, -1, -1, -1, -1, 840380319, 987517088, 899627215, 470342657, 373418252, -1, -1, 886109332, 525248712, 138455588, 756218857, 406727771, -1, -1, 948411434, -1, -1, 469226798, -1, 849796876, 325394356, -1, 661003183, 193093068, 243014327, 853959023, 656291485, 296345942, 11526432, 769465527, 615421824, -1, 332834172, 972611418, 162332447, -1, 915251974, 746156690, -1, -1, 980946961, 778191606, 340133257, 654498619, 239595957, 127275532, 557415708, 879565658, 627522932, 232212195, 317908998, 392582158, 967370699, 888555390, 874344084, 619385399, 213904963, -1, 200555249, 936128014, 59569003, 302893607, 486963154, 831825651, 510576740, 994299260, -1, 699949312, 608996693, -1, 274305556, 614395114, 914823801, -1, 799482176, 828220902, -1, 113330190, 511318888, -1, -1, 861329868, -1, 463233335, -1, 246533399, 744621477, 27322054, -1, 801436146, 797032385, -1, 361713280, -1, 177034462, 890076353, 631735265, -1, -1, -1, -1, 495654339, 297080415, 86079270, 434774303, -1, 665723101, 341473728, 447677763, 254347616, 237566717, -1, 668597065, 777824978, 87201009, -1, -1, 1940802, -1, -1, 501863784, -1, 421259380, 853204308, 500373088, -1, 629196488, -1, 868536852, -1, 101202069, 296984722, 41978691, 778859888, 177143015, -1, 91223957, -1, -1, -1, 309452475, 943657572, -1, 902173868, -1, -1, 815433378, -1, 92419894, 548371169, 996311114, 344193199, 779610756, 822342831, -1, 582291929, 286064305, 590965375, -1, 576848676, 888984950, 967310138, 357816905, 958209979, 610459099, -1, 613021390, 43080574, -1, 432116637, -1, 991458894, 560399548, 321931468, 988290038, 11329290, 122011591, 127999927, 979261450, -1, 634139089, 629509351, -1, 519988102, 933359446, 625745416, 340016434, 185515787, 294566111, 903413029, 989761424, -1, 92960500, -1, 83923904, 510420499, 963211655, 598880309, 746863499, -1, 149433195, -1, 271147146, -1, 983642854, -1, 303675305, 227786496, 549450025, 224877026, 282833326, 5107065, -1, -1, 949275185, -1, 467119792, -1, -1, -1, -1, 115866098, 623399807, -1, 572938608, 18727483, 995827073, 783810845, -1, -1, -1, 963162449, 304698002, -1, 982974648, 724458950, 827979794, -1, 519878761, 283721413, 846396712, 668459860, 664718292, 308190837, 411710410, 481561478, -1, 325395237, -1, 479745418, 237158968, 447642481, 193131713, 566141520, 452637778, -1, -1, -1, -1, 215979183, -1, 358801913, 73723136, -1, 768493292, 257776876, 26410218, -1, 997713837, -1, 850361459, 212971173, 675750162, -1, -1, 555670972, 900811823, -1, 605845396, -1, -1, 298475088, 19432039, 954511248, -1, 993025950, 259828262, -1, 597435849, 273012006, 821850117, -1, 920555865, 61277528, 806043267, 551350316, 466053508, 107416110, 413423945, 172375647, 495482144, 405883929, 634518113, 166464667, 504658120, 583702389, 122456605, 983604481, 790777876, 378432235, -1, 865774607, -1, 277101566, -1, 677292655, 882340982, -1, -1, 221979832, 345947858, 658361238, 758761018, -1, -1, 480421689, 656716468, -1, 36847950, 292136503, 321250559, -1, 808997174, 352037797, 32243827, -1, 271842430, 697920770, 853976280, 498555504, 788838219, 624403629, 903357352, 226496201, -1, 597949784, -1, 484421027, 964360233, 800942241, 797709965, 561925652, 610830414, 83269884, 680294707, 395892919, 809031011, 789953202, -1, -1, 746397092, -1, -1, 286800283, 974398133, 552922579, 422424692, 861978691, 318248821, -1, 479417976, -1, 395672315, -1, 319990764, 668382533, 878099742, 613832297, -1, 606841766, 254544944, -1, -1, 307688704, 705332371, -1, 310592108, 692387098, 93936952, -1, 945080261, 74881999, 32973584, -1, -1, 651877680, -1, 706456649, 254606443, -1, 618659215, 690956361, 937267707, 847610709, -1, 669068987, 560615094, 511238952, 246900240, 594410989, 328689217, 730426215, 955137422, 343181517, 6428788, 833414450, 210653359, 655728929, 726611075, 766171567, 399190678, 320788798, 134957167, -1, -1, 244157108, 799671072, -1, 569190665, 567359218, 571190186, 748248492, 191302015, -1, -1, 54364420, 472792379, 173536420, 710459513, -1, -1, 905747613, 988895949, -1, 855819448, -1, 951086801, 887470328, 579586689, -1, 843543812, 642309949, 806886326, 853716791, 582749856, 565029473, 165683100, 913509103, -1, -1, 545120850, 364043239, 207771037, 800991414, -1, 479332634, 931358084, 98618050, 345018579, -1, -1, 822503716, 463785917, 386666571, 572437347, 221734280, -1, 132340129, 434882452, -1, -1, 354308075, 359925881, -1, -1, -1, 272396166, 63788518, 557265754, 7942174, -1, 20839564, -1, -1, 234840220, 917551912, -1, -1, 911648039, -1, 623056909, 509529149, 649099922, -1, 199947586, 320360151, -1, 784860221, 227630917, 959697980, 380110647, 160781614, 975225458, 770655652, 741004711, 412960158, 497912100, 539061036, -1, 593714100, 728228249, 964135203, -1, 149139547, 222556860, 407968797, 511751155, 943200586, -1, 866780401, 345019122, 249582903, 229540768, 680834706, 652358010, 400165613, 466204699, 71527854, 857542444, 55460840, 608446336, 129140583, 77490631, 124255522, -1, -1, -1, 481522648, -1, 557186666, 726629627, 935206348, 482771743, 706034829, -1, -1, 965217656, 145084189, 979153325, -1, 264735373, 40095286, 277711973, -1, -1, -1, 715598701, 58533252, 194232952, -1, 430219664, 408942510, -1, 870714247, 326346530, 692201905, 410994592, 126927007, -1, 542063794, 581545448, -1, 81533648, -1, -1, 353945923, 297856721, -1, 309055956, 403204532, -1, -1, 318863372, 901779075, 379423541, -1, 497786397, -1, 562653521, -1, 570373272, -1, -1, -1, 89679634, -1, 784768217, -1, 917958655, 16791275, 125493143, -1, -1, 256558115, 764932463, 466471810, 120516725, 614624269, 63564186, 326612565, -1, 95905532, 164085654, -1, 150900318, 876661305, 777562647, -1, 6321843, -1, 516048817, -1, 326439867, 202443929, 919482593, 712209891, -1, 381827216, -1, 890259671, 536850506, 322772412, 9729709, 239117175, -1, -1, 414977800, 960516751, 764816552, 388308067, -1, 364676635, -1, 235758174, 451747729, -1, 492934432, -1, -1, 59390094, 259903734, 568620792, -1, -1, 625982990, 986191931, -1, 561798350, 940935439, -1, -1, -1, -1, 187175722, 533900160, 652544968, 954046036, 905717319, 201635818, 621990764, 337025683, -1, 997905076, 895631626, -1, -1, 902994915, 120944655, 379068983, 720985273, 558950430, 661109558, -1, -1, 217692359, -1, 900256698, 69905888, -1, 11537081, 261265435, 9600264, 31728421, 11011124, 553006002, 196392787, -1, 927191413, 292897432, -1, 435591003, 773604430, -1, 880466718, 37903729, -1, 633336484, 190317941, 93877627, -1, 791681868, 463944803, 692257190, 589957761, -1, 773731179, 154241333, 771487518, 491627876, -1, 782842169, 281258490, 904753605, -1, -1, 219609925, 66953602, 137315255, 450346435, 703443553, 139520353, 932253014, 892304045, 901749781, 478217568, 414859386, 39976967, 472870161, -1, 868254652, 112239590, 583777287, 837571479, 465575835, 839616203, 609043809, 157986266, -1, 62434081, 719076153, 350989271, 774640453, 471200579, 558855354, 462050704, 934182071, -1, 168414043, -1, 517269746, -1, -1, 37698812, -1, 226648902, 560389785, 20730726, -1, 781393399, 497523711, 969739423, 388037662, 324499732, 140498308, 841434185, 502905162, 969002053, -1, 245151024, 24628557, 994668384, 368242441, 667442853, -1, 237196677, 340407342, 117616927, 372899577, 493173392, 459676334, 806511126, -1, -1, 744748165, -1, 374823788, -1, 860449662, 564054253, 468944449, 643693839, -1, 162561533, -1, 892590688, -1, 201217932, 178391072, -1, 687356100, 137364590, 224207418, 220627236, 961750986, 890522463, 301589578, 760099370, 106021857, 366853958, 697142420, 501284123, 860563764, 431465637, 126360364, 350819602, 658055041, 757532784, 261187129, 374705883, 98336587, 185930184, 920333084, 648296040, -1, -1, -1, 896499336, 776020492, 51478585, -1, 439368192, 91313789, -1, 257496190, 99828903, -1, 429299803, 776622409, -1, -1, -1, 858365058, -1, 252746133, 457603678, 942021662, 816902370, -1, -1, -1, -1, -1, 634981823, 860288753, 602406349, 647543021, 848406481, -1, 103017530, 320136682, 429310722, -1, 629795649, 423980764, 875012066, 501517236, -1, 495224369, 399444247, 598263660, 347985241, 321741564, 85783594, 294296650, 72696711, 50418894, -1, 616951136, 901618461, 665117179, -1, 581989543, -1, 97854701, 329536051, -1, 80670154, -1, 15360697, 902615193, 840091390, 334492488, -1, 135077038, 956613786, 271383421, 899034474, 380897595, 911866576, 406051891, -1, -1, 405795113, 424373853, 213589957, 954664740, -1, 368625114, -1, 471964567, -1, 721035714, -1, 910029411, -1, -1, -1, 55948376, -1, 671958698, 795041456, -1, -1, -1, 900628261, -1, 765322604, -1, 15435960, -1, -1, 629664115, 958324951, 547454249, 882235854, 664647189, -1, 346815293, -1, 895627157, -1, 189591336, -1, 281674385, -1, 289931031, 425851138, 824924332, 181106124, 648466468, 855020540, -1, 642792851, 656904690, 399640194, 396718844, 173773998, 46538455, 254513423, 232666542, 41033531, 397840977, 374621412, -1, 309923245, 562561126, -1, 920555831, 993819995, -1, 844837163, 838007865, 125270740, 501044267, 143132077, -1, 741901018, 636330561, -1, 337910781, 857529123, 589997771, 366622060, 941512581, 294498457, -1, 228437248, 110622196, -1, 793891191, -1, 87526755, 685705170, -1, 40570820, 406013244, 653771762, 184974114, 184514938, 181484529, 991106888, 390947957, 908283312, 713440518, -1, -1, -1, 31333684, 8393506, 470229750, 885122174, -1, 349079919, 275590926, 931046610, 820166229, -1, 829229416, -1, 615395936, 475196273, 313504818, -1, 256811596, 119953787, 558277472, 703434453, -1, -1, 558501159, 807324497, 899969190, 108147163, 237683792, 317904253, -1, 651741631, 692931735, 840494674, 85947232, 401565186, 257534634, 171066778, 417616332, 54872088, -1, 938199136, -1, 18512952, -1, -1, 275911739, -1, -1, -1, 33254324, 565469661, -1, 614899491, 222384379, -1, -1, 872829788, 341644254, 549659252, -1, 585868018, 17036584, 245469648, 274900312, 934240474, -1, 474761319, 322954866, 452140604, 460046324, -1, -1, 420659311, -1, 572137350, 300499938, 765494435, -1, 893637630, 733339471, -1, 781241406, -1, -1, -1, -1, 958265370, 503000327, 828723821, 302400774, 425398873, 908627353, 203323774, -1, -1, 139492654, 757267306, 647865941, -1, -1, 125522370, 773869631, 749458554, -1, -1, 979814536, 518077186, -1, 539851797, -1, 509601996, 787672937, -1, 333176222, 136238478, -1, 594582843, 454049768, 211026034, 389149714, 522638489, -1, 790786304, 74065933, 372301581, 532102170, -1, -1, 171556172, -1, 672655817, -1, 77712156, 946549451, -1, -1, -1, -1, -1, 828463834, -1, -1, 545165752, 652931582, -1, 880235214, -1, 438475291, 405814479, 683114622, -1, 869910730, 958527909, -1, -1, 339982225, -1, 694993051, 282232265, 470073358, 433111440, -1, 768242453, 80869756, 513584375, -1, 929468944, -1, 623722491, 67932446, 466099495, -1, 168813453, 605282534, -1, 397273535, 343953468, 566954923, 225180825, 340255066, 116403954, 857199065, 738728141, 205420189, 767607189, 64493985, 240025439, -1, -1, -1, -1, -1, -1, 740969059, 357490213, 680978092, 422439246, 513147592, 512244152, -1, 900953256, 546833622, 595290894, 82592421, 989389017, -1, 597919745, 404321873, 510683508, 402483301, 393423259, -1, -1, 774627276, 951931259, 336126167, 586761571, 643225082, -1, 507904716, -1, 50650812, 781355534, 333366687, 970375558, 9767391, 113505247, 861947476, 227800449, 513720916, -1, 512389618, 68584438, 800507320, 360437803, 976312936, 96694759, 956760337, 141395996, 18504942, -1, 561645517, -1, -1, 220042681, 124093832, -1, 862307055, -1, 12139420, 198256469, -1, -1, -1, 349580610, 35255104, 644125981, 370788485, -1, 353174955, 586670942, 756857187, 902934729, 175789327, -1, 431220961, 950231416, 654746200, 606446718, 939428771, 925488651, -1, 633372669, 268156616, 116217454, -1, -1, -1, 264830219, 432487424, 394174904, -1, 169078373, 102185439, 984687690, -1, 113817831, 464815749, 465112891, -1, 417054299, -1, 387119832, 707452388, 958295368, 314672370, -1, 704651940, 165547237, -1, -1, -1, 362432138, -1, 150097258, -1, 253100801, 330455267, 476415493, 985276618, 536548634, -1, 271711031, -1, 707098173, 830628702, 264967390, 20426719, 558396452, 351423016, -1, -1, -1, 954653420, 672485490, -1, 467302976, -1, 365087151, -1, 859103201, 930431380, 104565783, 665668485, 148596494, 337245300, 328496591, 889653, 18026234, -1, 644356727, 790044556, 166421933, 247116761, -1, -1, 63910059, 837319421, 813043575, -1, -1, 122273038, -1, 249182238, 782449131, -1, 701349602, -1, 855520700, -1, 67626530, -1, 697716845, -1, -1, 330464466, 157486740, 718706183, 332881823, 195784285, -1, 697949682, -1, 763761462, 604898833, -1, 14381875, -1, 809531048, 434528990, 79849328, 867274373, 382066455, -1, 243607755, -1, -1, 721410237, 842811368, 102723409, 733712791, 162516181, 469749105, 430323039, 397526379, 897651544, 787174812, 71228886, -1, 847810869, 405700376, 746884206, 189807925, 450593296, -1, 735932492, 740476702, -1, -1, 164347772, -1, 973634248, -1, 585859668, 913707280, -1, 154823914, 758270502, 647642088, 892984019, 275064562, 282656476, 95509680, -1, 255421675, 730353418, -1, 331196918, 505575985, 814832154, 630245138, 146126431, 206808751, 829595613, 845497580, 351723820, -1, 926535336, 72908889, 737997026, 895794944, -1, -1, 592023527, 981681628, 999170494, 567493399, -1, 632734831, -1, 444693756, -1, -1, -1, 705638094, -1, 315690622, 565431031, 724271473, 823354905, 442592657, 687655007, 280433418, -1, 734366561, -1, 743792473, 877826359, 73455831, 165005863, 58812256, 709296028, -1, 865658728, 479927554, 740965211, 116935280, 608008639, -1, -1, 448288804, 821233659, -1, 809992440, -1, -1, 858340961, 147116087, 783718605, 268099790, 340599106, 127325439, 635381379, -1, 944773437, 638380307, 819725755, 99457080, 579532073, 521261935, -1, 165147945, 177611512, -1, -1, 170363612, 985844990, 46429557, 516171471, 378289446, 943671438, 468856326, 502349403, -1, 556285678, -1, 255342956, -1, -1, -1, 290146477, -1, 693790432, 10561559, 814103478, 644211672, 552492417, -1, 747973588, -1, -1, 525515516, 177885503, 913444888, -1, 349630084, 671656430, -1, 405080713, -1, 839220394, -1, 86702637, -1, 370484746, 53601006, 665114279, -1, 748091015, -1, 12147084, 250142485, 899888311, 88122177, 627347926, -1, 387919807, -1, 193524600, -1, 309833172, -1, 965718276, 69315127, 237628670, -1, 601114547, 449327942, 584055241, -1, -1, 574365710, -1, -1, 304130412, 330286503, 258680433, 472242942, 423218916, 573838448, -1, 791172658, 561853876, 135003059, -1, -1, -1, -1, 56768944, -1, 124779256, 725803483, 493260232, 131113485, -1, 371743169, -1, 913076725, 410182785, -1, -1, 676308427, 777589507, -1, 947049002, 109609853, -1, -1, 47265214, 795191600, 510705612, -1, 237560951, 587964805, 227147837, 442177084, 920501776, 207394320, 73864002, -1, 360734520, 492483214, 805158020, 205211390, 920801044, 371119634, 372903153, 150545506, 455770364, 922637921, -1, 185938159, 151297544, -1, 264591920, 227150630, 613480586, 586274351, -1, 130089681, 882101451, 809488966, 99958827, 63419045, 426053714, -1, 551474610, 512668352, 806472749, -1, 276663804, 905521428, -1, 978566751, 188376603, -1, -1, 960681925, 323471191, 617761549, 787722668, 818739676, 501534873, 215526730, 323554011, 374384564, 714649289, 755027099, 585497695, 768700733, -1, 498832361, 641244689, -1, 519653839, -1, 621717290, 367736564, 404912107, 575777792, 170095460, 479358275, -1, 759346029, -1, 753938323, 994744210, -1, 322926333, 470962739, -1, 164963943, 12207335, 545355011, 981243455, 747994410, 374813674, 77882329, 572070361, -1, 64032103, 520082363, -1, 846501573, -1, -1, 464812209, 270726840, 635356664, 965382370, -1, 754017192, -1, 270219426, 732893469, 785816941, -1, 134787929, 838422660, 564382736, 109788768, 235716583, 898399964, 741380445, 258245801, -1, 803192780, 675231590, 831646148, 69239862, 31687335, 504118767, 345752967, -1, -1, -1, -1, 737684910, 334784705, -1, -1, 961252159, 152921404, -1, 730770962, 277055394, -1, -1, -1, 415261347, -1, 139679426, 46964685, -1, 49227266, -1, 191631019, 323258855, 315459571, 858128412, 771142389, -1, 599234837, 930422348, 712662191, 566895722, 701675131, 821536004, 314652825, 703425914, 600090529, -1, 901306479, 588927643, -1, 681746693, -1, 139979009, 837317899, -1, 58835545, 204168224, 416231226, 737428765, 791613120, 371853340, -1, 551318189, 869475599, 589556469, 364977765, -1, 598715363, 114510342, 298829697, 718222875, -1, 36246069, 951992598, 539685956, 388223773, -1, 777335489, 401274840, 583508058, -1, 994851558, -1, 205177218, 978599468, -1, -1, 876843112, -1, -1, 4580649, -1, -1, -1, 303684754, -1, -1, 691813808, 961315555, 466655037, 765877288, 926638821, 805511353, 961344874, -1, -1, 851163490, 192557168, 656512897, 376672484, -1, -1, 546309450, 743796656, 284233393, -1, 707349214, 285040997, 557394236, 68050543, 664550193, 102886068, 855793416, 581618954, 788419838, 297244051, -1, -1, 144494381, 368772835, -1, 390487993, 741700450, -1, -1, 403567159, 811757623, -1, 170293548, 319663379, 572708561, 18843410, -1, 35015359, 961893096, 959073532, -1, 315149388, 815970750, 629152403, 6925706, 990970554, 211205972, 681691515, -1, 257753876, 547987256, -1, 169866124, 788128862, 641566438, 379839858, 558827233, 181920557, 320152717, -1, 174449272, -1, 696642099, 940352867, 911868889, -1, -1, 72366205, 349587766, 484564201, 416359507, 945160910, 445079975, 563798992, 774947543, 112611128, -1, 944853417, 836921612, 105383444, -1, -1, 26144217, 353431079, -1, 33125179, 822069766, -1, 451812902, -1, 984736887, 216824683, 80963650, 312358281, 789693239, 667863417, -1, 565102176, 2679235, -1, 406898227, 378737535, -1, 751768527, -1, -1, 719483313, -1, 63952718, -1, -1, 688945737, 528504203, -1, 982955054, -1, 179523920, -1, 288474463, 942932913, -1, -1, 830276232, 182674004, 579727714, -1, 575409191, 917073147, -1, 821377909, 389370348, 68391314, 534648375, -1, -1, 512804334, 484672547, 538472192, 918683766, 535331553, -1, 586803183, 846112967, 868044807, 816330753, -1, 876980097, -1, 414301073, 638338685, 409951959, -1, 507982149, 768862868, 618774389, 680858805, 508851719, -1, 76104663, 810702568, 863911947, 202197946, 557920085, 819202799, 932284119, 973415882, 220095454, 426739784, 458335508, 189229567, 303010233, 51125452, -1, -1, 411302555, 266104213, 168240991, 527121409, 767472759, 460260553, 713298501, 594215920, 533352904, 554443595, 58982417, 52732713, 248244182, 194920670, -1, 448936064, 812161007, 187347268, 489977214, -1, 851349540, -1, -1, 12613858, 411681027, 646998750, 789082566, 950543791, 303983776, 353494157, -1, -1, 159624951, -1, 781106166, 177985706, 805472360, 849629621, 751674340, -1, -1, -1, -1, 370054800, 932737687, -1, 708895228, 779648144, 958524723, 540118518, 21462077, -1, 241461261, -1, 221895267, -1, 569612739, -1, -1, 913017113, 786959250, 448342850, -1, 185245967, -1, -1, 749960192, 316978135, -1, 471938405, -1, 151350888, 103161310, 981225508, 923173503, -1, -1, 292035605, 430811614, 864575567, 88520493, -1, 891950122, 12620576, 196944247, -1, 473214944, 275429188, 298659447, 64792340, -1, 72053245, 922828594, -1, 709467961, 291993030, 15109046, 801738903, -1, -1, 84987372, 439540991, 267017348, 755432680, -1, 752446467, -1, 13890123, 173025672, 837787624, 301509653, 53458552, 796428685, 834382891, 400925394, 43634944, -1, -1, 133615072, 524300426, 283868516, 56209390, 919408602, -1, 598897309, 908875562, 825665157, -1, 476292673, 114314729, -1, 415832011, -1, 939544226, 701562358, 541998887, 828113487, 767013515, -1, 71033119, 976511178, 191964807, -1, 171153294, 506740443, -1, 320287324, 956226118, -1, 387861064, 324411528, 232513285, -1, 531947657, 772633536, 518972579, 902799900, 443045537, 277677229, 583822889, 140075571, -1, 878358317, -1, -1, -1, 313846921, 516691962, 335694490, 761816459, 306591946, 591301167, 423152959, 680077404, 13717524, 953368958, 882173599, 339804046, 968761273, 681242921, -1, 651285967, 263079722, 888983771, 579586650, 58236101, -1, 388591166, 202645388, 846128330, 205583146, 602081505, 475913645, 425965876, 878449197, 290181920, -1, -1, 568424110, 481756774, -1, -1, 917117505, 889486575, -1, 659292319, -1, 700862977, 223070583, 911340920, 262798628, 710471458, 752616667, -1, 425608484, 162710996, 132041596, -1, 376418179, 989743769, 521031367, 697354353, 649924060, -1, -1, 318203176, 418247255, 805739714, 473915991, 261174491, 690277343, 897664250, 503904440, 364957455, -1, 151274217, 172511582, 494356565, 817278626, 641025074, -1, 934275464, 700715812, 511827646, -1, 823232388, 794319899, 943332187, -1, 404756538, 441866114, -1, -1, 67876733, -1, 807686519, 188587017, 883087620, 532388096, 983091310, 292606330, -1, 896635297, -1, -1, 985969304, -1, 727444916, 538185159, -1, 997267857, -1, 808460508, -1, 929189332, 298027567, 444904870, 667680121, 654504208, 794783247, 906945461, -1, 706784254, 688323159, 308008546, 466016692, -1, 414225611, -1, 391572387, -1, 979990175, -1, -1, 248943309, -1, -1, 552431021, 92722676, 492262541, 41543483, -1, 526120563, 810778218, 633830251, 158322222, -1, 437804946, -1, 109731689, 817060187, 175832685, 591135341, -1, -1, -1, -1, 778695780, 954569693, -1, 965224442, 566624390, 873146020, 990486569, -1, 482529513, 9916987, 433584293, 475640581, 639301030, 356645169, 159675998, -1, 14915353, -1, 737206929, 246025324, 783733046, -1, -1, -1, 607499064, 525557050, 427814440, 629377646, -1, 689035149, 780742914, 584529673, -1, 88220603, -1, 293092833, -1, 312683726, -1, 748131447, 231015865, 763801256, 661158803, 25201724, 204711434, 575049718, -1, 496060859, 965055742, 865009074, 321456980, 784377252, 511762538, 330561768, -1, 150468191, -1, 203608734, -1, 427818793, -1, -1, -1, 226363369, 921737886, -1, 755015459, -1, -1, 645930008, 50717292, 516799173, -1, 327419268, -1, -1, 257044579, 243456481, -1, -1, -1, 356621401, 776709497, 701816129, 359817011, 795552196, -1, 825873123, 328694528, 843620798, 226131094, 228846068, 615847411, 35079162, -1, 427935976, 439731478, 132232004, 688721361, 33561552, -1, 999898006, -1, 928395227, -1, -1, -1, 368945487, 418548204, 419475861, 797132368, 687912569, 174867216, 613966462, 311562128, 803623405, 586908026, 455327162, -1, -1, 137696594, 929641931, 729006265, 661208927, -1, 226432277, 163334839, 245686422, 240052903, 758525009, -1, -1, 829050046, 265991958, -1, 449826389, 92372732, 689098272, 652409088, 708968111, 897296312, 605749870, 568729084, 726330255, -1, 6723822, 361002106, 210935167, -1, 933903165, 721482799, 377069665, -1, 986620310, -1, 569824645, 533405265, 223075773, 112403493, 464913458, -1, 456630807, 12425790, -1, 876293199, 724748634, 180486862, -1, -1, 716901129, -1, 705550966, 779134413, 523220679, 842896114, -1, 874921246, 754238032, 456474443, 469130487, 185041270, 604475993, 969493674, -1, 99664795, 828050962, 349980813, 436313007, -1, 921031264, 691694055, 674265947, 589067753, 395432386, 349126025, 153542369, 943723605, 12146725, 710105368, 213474842, 832219216, 121873934, 440987540, 841265910, -1, -1, -1, 853224051, 673980866, 893003031, -1, 591584999, 116609369, 26369342, -1, 461334350, 416189706, 35511165, 849835417, 327115956, 295973473, 826524941, 215498403, 422646596, 426042208, -1, 937414401, 807664238, 169764244, 827390941, 542957025, -1, -1, 683374984, 101677994, -1, 803641510, -1, 644915298, -1, 329306489, 273648320, -1, 628862177, 964521298, 686376444, -1, -1, 898179450, -1, 526009983, -1, -1, 320233626, 39111715, 309000184, -1, -1, 260861084, 186442953, -1, 264204072, -1, 278824606, -1, 814891739, 760301586, 244281394, 236659219, 173033805, -1, -1, -1, -1, 443737439, 869852491, -1, 844588138, -1, -1, -1, -1, 512613948, -1, -1, 337292860, -1, 924935621, -1, -1, 684992512, 993578045, 486912861, 199708390, 334955320, -1, -1, -1, 66082769, 749589984, -1, 332482557, 895976378, 14595779, 845796232, -1, 893238714, 224971160, -1, -1, 989304592, 29863934, 728385786, 650664371, -1, -1, -1, -1, 511766990, 534903326, 376290845, 354967632, -1, 968151689, 352464764, 494385931, 296940582, -1, 603744843, 245946423, 209595517, 926122440, -1, 606360893, 873331669, 749005867, 736550359, 75589531, -1, 820556661, -1, 691096820, 292103389, -1, 500052395, -1, 727328158, 316138749, 286569547, 696291391, 495654913, -1, 644055849, 195976478, 978192613, -1, 902561843, -1, 513537279, 550962755, -1, 669548480, 881761780, -1, 282350525, 187269721, -1, -1, 980550802, 153735427, 561854670, 603156841, -1, 626202, 697540583, 878306569, -1, 390375754, -1, -1, 365145238, -1, 993796846, 240980126, -1, 74718422, 898613374, -1, -1, 456116658, 621167093, 19820743, 263342982, 78998295, 263073878, 427796820, -1, 369699784, 626037178, -1, 66864766, 751266744, -1, -1, 459382902, 334436772, -1, 34140221, 574070926, -1, -1, 753290170, 530119159, -1, 803970936, 150909518, 432276089, 732747700, -1, 432468490, -1, -1, -1, 673126790, -1, 72861581, 32281154, 845329689, 424028122, 914403259, 695594598, 409075338, 237115773, 34898196, 565351777, 482830093, 443272041, -1, -1, 424706678, 222526927, 729789026, 241207070, -1, 796464963, 948095392, -1, 88392243, -1, -1, -1, 636996758, 976003069, -1, -1, 387426821, 615101870, 625692879, 862129187, 466734916, 425490910, 703985498, 462762102, 35057851, 650335653, 362183385, 881240039, 784593187, -1, 564638694, 460800118, 451337226, 795453362, 274586907, 724517984, 522752637, -1, 410207630, 452325342, 342600088, -1, 726839213, 434312267, 269322629, 709969677, 29431528, 793050471, -1, -1, 513443024, 61978179, 122303840, 269414481, 745732544, 710952422, 519094380, 637918867, 697425429, -1, -1, 252906517, 602526400, 802490613, 511831290, 738512447, -1, 856930257, 918071526, -1, 491070962, 891717290, 762771692, 716432629, -1, 521417246, 759685617, 319774880, 935532321, 175219718, 123420694, 758203985, -1, 835496208, 462548870, -1, 616230308, 518064167, 552006852, 972139500, 258871739, 775866656, -1, 442982771, -1, -1, 396150838, 661404308, -1, 824086907, 762205176, 265871035, -1, 854016829, -1, -1, 684720570, -1, 47417999, 962296037, 350498201, 143495395, 558797848, -1, 479890022, 728871198, 415931576, 973043223, 387688770, 993190412, 291013844, 553872696, 250293862, 362487939, -1, 661817361, -1, 66961188, -1, 733153063, 410783849, 621816881, 209711704, 464037264, -1, 615057084, 481423768, 618323889, -1, 515058813, 922900304, 927322969, -1, -1, 139685430, 260923050, 394195293, 896460080, 446335428, 884822791, 914055802, 390177059, 552344980, 877743993, -1, -1, -1, 221182087, 527222004, 303852886, 576123608, 314138149, 57380647, 27502712, 576793011, -1, 824474878, 780051073, -1, 781548236, -1, 50720088, 63728106, -1, 495064135, 446115273, -1, 190558545, -1, 146590757, 401969010, 923679207, 646700956, 81552187, 685236080, -1, -1, 438393525, 68596797, 751795188, 882625436, 459910030, 181368416, -1, 580605091, 454897461, 281920229, 885915935, -1, 478269743, 117526308, 853089270, 641990859, -1, -1, 756714046, 526040934, 21467967, 891041629, -1, 273961647, 66329771, 809017990, -1, 857291123, 91148850, 901084647, 891048727, 841259793, -1, 265029047, -1, 721836575, 633202586, -1, 198828532, -1, 381699609, 878020947, 153292637, 179816828, 386593931, -1, 360795012, 242969916, 729865678, 596953386, 214734901, 22595417, 799507173, 429525723, -1, 791265238, -1, -1, 353225195, 822148335, 64213705, 139970970, -1, -1, 217471824, 563427830, -1, 58996004, 790294712, -1, -1, -1, 28197193, 969216489, -1, 720336768, 971267163, 978780387, 369117934, 35139368, 730336724, 222999734, 423795834, 666150019, 911461167, 239878111, 449111781, 618284805, 887822334, -1, 966990682, 240829990, -1, 871746507, -1, -1, -1, 138540032, 250213138, -1, -1, 782341877, -1, -1, 285770868, 434065079, 421277848, 956893026, 255472344, -1, -1, 945935311, 104705656, 535773133, 401991610, 218280141, 586895090, 388295413, 466573168, 423868595, -1, 892737772, 96264294, 678461296, 390123109, 754891842, 69231781, 312468838, 821877596, 80102092, 688462410, 431122117, 953192117, 720885315, 208914565, 31655486, -1, 797545604, 283088341, 896552540, -1, 909629609, 424054513, 593070187, 667886527, 983783009, 813109724, 705492936, 469018326, -1, 80903325, 953059442, 648564909, 344935298, -1, -1, 469510889, 195169084, 655719713, 24996282, 829949804, 456356990, -1, 554319017, -1, 682407804, 462443906, 722622899, 162278002, 966567438, 143383154, 964831524, -1, 291924228, -1, 245925310, -1, 671216177, 121049300, 702182251, 756719169, 464022155, 445061561, -1, -1, -1, 910270626, -1, 822718989, 621403415, 775384126, 26507106, -1, 955411282, 600125237, 558311648, 75090617, 303231297, 415496724, 804325815, 296087625, 225963554, 622540298, 548497794, -1, -1, 978686829, -1, 187623499, 710301853, 573160269, -1, 558814201, 870719651, -1, 739585275, 276464605, 434487032, 962302130, -1, 802361546, 433908484, -1, 555257567, 720756788, 103039546, 369739710, -1, 17530420, 114949071, 758068481, 633581360, 936554442, 847616086, -1, 135606350, 546542386, 60636448, 639151118, 15307924, -1, -1, 710324237, 678713165, 381480451, 554034763, -1, 947745270, -1, -1, 728217957, 816061694, 256200464, -1, 539323402, 412388857, 152935505, 46151353, 872401426, -1, 927623532, 528833075, 483844989, 439596339, -1, 481862890, 954773003, 310967305, 529763845, 64625841, -1, -1, 849883814, -1, -1, 199345513, -1, 393847594, 535338972, 608278058, -1, 471726209, 576354040, 441809720, 206210228, -1, -1, 369690430, 544145404, 501459118, 806008089, -1, 880142696, 505336524, -1, 491973988, -1, 598172277, -1, -1, 553302945, -1, -1, -1, 954838418, 282241073, 237046505, 602704853, 439655335, -1, -1, 498948269, 608065963, 607525053, 523854014, 163486107, 182797769, 645100304, 195652312, 230989657, 741670945, 197520635, 241541208, -1, 177655709, 923264472, 361173725, 149331481, 254411116, -1, 415292636, 271737890, -1, 730487803, 10851741, -1, -1, -1, 706415711, 661139220, -1, -1, -1, 347248082, 682044752, -1, 214725045, 761102224, 887655763, -1, 497577524, 774528245, 384928081, 345465622, -1, -1, 60464670, 416482676, 474697951, -1, 240876017, 815809379, 587698720, 599629596, -1, 742463608, 591579095, 276694486, 431770300, -1, -1, 383701831, 407402573, -1, -1, 9259802, 499542664, 4368291, 959913486, 619814191, 281289379, 372495058, 64956504, 340633962, 302054672, 574539469, 384776663, 702228319, 747621250, 753915979, 195754535, -1, -1, 861838556, 377892582, 437109016, 999057696, 613177880, 46431928, 183397581, 394770605, 632879195, 292757261, 471206420, 233206527, 182741513, 145308504, -1, -1, 183262226, 399437642, 374410749, 261208286, 973935289, 617346386, -1, 168924977, 546492114, 265194485, -1, 740822710, -1, 102743663, 20209030, 24502209, 288284011, 976810837, 363625078, 437375941, 119305609, 659838351, 634490436, -1, 929177964, -1, 954914671, 909919445, 278741355, -1, 707220203, -1, 504350654, 820135076, 816087417, 699947994, -1, 287726652, -1, 432385189, 847622926, 301485238, -1, -1, 770311913, 785630424, 757059713, -1, 937091919, 235268977, 445271291, 203891469, 395699887, 399750528, -1, 939570894, 108511299, -1, 317911326, 356492422, -1, -1, 66816092, 135436534, 164866084, 293970532, 706369523, 648020913, 580129234, 71608441, 588845409, 612919718, -1, 372857750, -1, 723307883, 725217633, -1, 98241237, 439958060, -1, 839921711, 1374485, 235357016, 476600661, 528878130, -1, 40543792, 223299081, 742044422, 178138228, -1, -1, 749952536, 393135446, 303915261, 607519932, 623619428, -1, 596147356, 466742951, 996897802, 9870925, 78307263, -1, -1, -1, 501639544, 352039298, 135205328, 13518813, -1, -1, -1, -1, 783977368, -1, -1, -1, 428311373, 382273161, 547221850, -1, -1, 370525895, -1, -1, 540267159, 725096556, 256978861, 246015689, 992824421, 365188093, 97729325, -1, 136122827, 920273181, 830688230, -1, 383561489, 812609563, 635348210, 929680005, 79841578, -1, 267578608, 86519851, 166666004, 349398904, 875453394, 576938742, 775610201, 325338307, 81046438, 720095248, 477672282, 292503761, 788341037, 604790831, -1, -1, 591829779, 535179850, -1, 331777125, -1, 720933302, -1, 333509745, 599935293, 501419117, 119833568, -1, 441714809, 637653247, 246333406, 183005854, 279709242, 145646378, 628371634, 160939105, 696445066, -1, 204975651, -1, 93861109, -1, 532697282, -1, 148670470, 908671432, -1, -1, 929105273, 290599444, -1, 179485301, 810951110, 302824398, 63199100, 570437034, 452707331, 24246173, 585597430, 107638244, 640196948, 929343670, -1, 350107874, 753316867, 441586460, -1, -1, -1, 172492160, -1, 755253457, 765280078, 868374270, 301761825, 796240139, 199601223, 891290819, 906315294, -1, 681091829, 276271314, 510473430, 816963967, -1, 80292691, -1, -1, 935736897, 287461314, 759701465, -1, -1, 547102372, 528828942, 439575417, -1, 638624583, -1, 595076736, -1, 937758409, 526436760, 880841430, 260159028, 825898012, 592933485, -1, 609318958, -1, 997211022, -1, 136553222, 280236548, 504622901, 272803906, 669826727, -1, 353129961, -1, -1, 752036003, -1, 137773098, 779596726, 581620714, 38034677, 769158106, 60242055, 203553443, 344812406, 821838866, 368214673, 292468318, 850663975, 838022052, 902703124, 180034441, -1, 657860865, 971651424, -1, 367895166, 82074877, 465443239, 419642551, 258095072, 942864252, 514988292, 888817228, 164066464, 714387703, 618519138, 775612215, 67664574, -1, 757084222, 534105978, -1, -1, 483844291, 645546991, -1, 359810929, 836927782, 808919506, 303804669, -1, 858778351, 732076280, -1, -1, 759615634, 630514180, 949339024, 593713202, 73453421, 960289123, 974522492, 397889095, -1, 372804748, 465793639, -1, 31772129, 476750014, 554316719, 524907600, 118897149, -1, 823707886, -1, 956988978, 939733530, -1, 260818383, 820513580, 855489656, 177438827, 381744709, 363132543, -1, 167246516, 223090159, -1, 90301434, 181867626, 857951957, -1, 65952872, -1, -1, 546865480, 366302085, 97472784, 421681915, 167977751, -1, -1, -1, 933864047, 670834678, 389431648, 358927094, -1, 573197555, -1, 513215812, 363144369, 672210000, -1, 244661180, 439689655, 52941512, -1, 846087717, 931102777, 568993456, 19473803, -1, 929266332, 110943627, 107468816, 525566691, 785196532, 36244517, 446976872, -1, 499991532, 700527028, 605285595, 153787258, 709944404, 558405483, 32391546, -1, 684442513, 553204756, 988247053, 108809271, 104496450, 234896871, -1, 407661092, 595583913, -1, -1, 825863571, 539508606, 977599588, 666778797, 834196421, -1, 660722194, 536523246, 437735350, 988918936, -1, -1, 824018659, -1, -1, -1, 261801832, 552631243, 509545234, -1, -1, -1, -1, 683893853, -1, -1, -1, 34210973, -1, 374100925, 640729998, 759176453, -1, 644137723, 580393488, 266971804, 844680449, 333250446, -1, -1, 892103048, 409488377, -1, 73557382, 857352134, -1, 16934492, -1, -1, 827196779, 127601340, 854788452, 607718195, -1, 525419921, 646508120, 841315088, -1, 803180790, 7229514, 66795386, -1, -1, 87212590, -1, 995148427, 323065261, 218963367, 950458063, 39974672, 691311088, -1, 859992453, 163328636, 609223384, 620800523, 82951460, -1, -1, -1, 619801115, 769706620, 42667073, 122227996, -1, 917453609, -1, -1, 48467601, -1, -1, 234211471, 56156511, 688359446, -1, 821579747, -1, 358455020, 863356231, 800715047, -1, 234246317, 346843681, 200186068, 842309770, 497327835, 129579314, 907633693, -1, 176354943, 688071852, 952783612, -1, 539508723, -1, 320093381, 193044568, -1, -1, 52534603, -1, 362333949, 325834511, -1, -1, 145251847, 50129190, 600680532, 303444790, 803529878, 521505992, 403324397, 148959715, 246706267, 760492389, 823238231, -1, -1, 870329613, 747571261, 708326488, 704433266, 355013187, 509654982, 715200657, 927657456, 753587337, 231672868, 86266696, -1, 721882080, -1, 901233676, 536046455, 667854253, -1, 321270735, 323312597, -1, 851004420, -1, -1, 140271871, 302879219, 637789672, 439949884, 582326189, -1, -1, -1, 400673619, 754489755, 5931195, 934255092, 27991035, -1, 838199148, -1, -1, 641603948, -1, 763997224, 543960388, 279690030, -1, 78061876, -1, -1, 912111958, 94438423, 423464415, 977509709, 297815694, 943154463, 751836407, -1, -1, 627082190, 226026873, -1, 36316709, 940230646, 121869789, 20179057, -1, 371743704, 41812902, -1, -1, 777743687, 943901460, -1, 441156539, 959393962, 868021364, 607754551, -1, 400198095, 189593756, -1, 239435809, 988861965, 536703625, 593256136, 832294378, 659537555, 674817653, 758005789, -1, 443667680, 679522322, -1, -1, -1, 633276663, 450230942, -1, 324328671, 552475014, 885255213, 425852828, 399965765, -1, -1, 577644661, 210050170, 909246430, -1, 993734121, 299609878, 476751712, 720796100, -1, 832485479, 453073399, 202536812, 728779087, 401446319, 550050947, 366503276, -1, 265517250, -1, 38953439, 315168538, 42434508, -1, 487187300, 529624652, -1, 405619146, -1, -1, 467633954, -1, 361597101, 821284043, 146873222, 901666477, 563656808, -1, 52903101, 3604711, 968885872, -1, -1, 793693106, -1, 511842142, 717421361, 862493222, 593278328, -1, 700708512, 180266004, -1, 789451708, -1, -1, 508489370, 862138410, 964799762, -1, 854733168, 818373411, 615313039, -1, 662896739, 154478444, -1, 706027236, 123735996, -1, 674252409, 446022051, 748253516, -1, 189100022, 21339208, 10218203, 18423232, 635123490, -1, 735730683, 925049514, 147529812, 852392894, 800147122, -1, -1, 246817252, 918584468, -1, 843650961, 369225609, 651349673, 374743088, 334674236, 173948986, 67047186, 302648249, 120483079, 51475084, 296495361, 614691082, 243405181, 976277949, 704808569, 157289278, 789290096, 67188030, 947205801, 692618909, 176636940, -1, 989691334, -1, 205784539, 442735139, 307673524, 771578938, -1, 409635781, 600029484, 147523055, 579310822, 299419009, 506617077, 945178962, -1, -1, -1, 307366161, 488416760, -1, -1, 228715244, 594098300, 511442889, 225056189, 279901649, 157443913, -1, -1, 111885541, -1, 369156079, 853723882, 99971593, 657705433, 709737297, 616092875, -1, 739925273, 130444166, -1, 842110384, 462360275, -1, 143537735, -1, 182295597, -1, 14672271, 988264658, 323022373, 38918504, 991244787, 205850941, -1, 603975357, -1, 346612681, 503324655, -1, 303459199, 338005678, 84785232, 606495557, 968569874, 369065810, -1, 882372637, 861483915, -1, 100090018, 383129637, 154456172, 808323380, 272732942, 985918932, 86119503, 73265525, 663466851, 218579720, 38438589, 36826076, 906492709, -1, 423647610, 118452153, 948427124, -1, -1, 213233384, 211606699, 302734089, 496140589, 485616635, -1, 224873043, 658720283, 23678171, 606702008, 706593544, -1, -1, -1, 248365622, -1, 139317302, 289881880, 234479950, 781803871, 445683620, 806273997, -1, 990333721, 101919500, 348216110, 654772353, -1, 151398183, 429784112, -1, 250538438, 910001283, 772809712, 59719135, 934819274, 939213999, 694622891, -1, 850300182, -1, 690705534, 601819376, 202453220, -1, 389660961, 406828987, 227718011, 705446176, 717367568, 480066968, -1, 832122896, 313909943, 932202767, -1, 674952749, 879436163, 396711357, 372934723, 668633506, 456282135, 322238949, 115569493, -1, 761598241, 56200180, 60462811, 31439096, 44012393, 472980391, 211461609, 803231737, -1, 502340618, -1, 392492770, 543734368, 153836604, -1, 305600157, 184572919, -1, 524671373, 128992886, 62589872, 39238969, 32580072, 221804708, 410185468, -1, 930394401, 843823497, 329224066, -1, 278608605, 697970773, -1, 635533824, 288781992, 146463691, 312491586, 692834715, -1, 855125446, 318576989, -1, 368787496, -1, 951343697, -1, 375685186, 793373634, 205516463, -1, -1, 788340082, -1, -1, 419130761, 477217067, 758763063, 281330961, -1, 713054980, 155782342, 105949207, 614816128, -1, 896165579, 947076576, 842114681, -1, -1, -1, 68354796, 195778983, 974571401, 716272008, 421424306, 11290127, 597552996, 309859392, 667770380, 400489175, -1, 625905979, 281581198, 264730818, 136459127, 383011260, 796609585, 692502616, 342057800, 584343419, -1, -1, 311850660, 383086002, 865868598, 253346500, 233274873, 256740593, -1, 657206558, -1, 893262974, 838309839, 14388551, 330324890, 440552410, 245579920, 628255890, 852017180, -1, 218437312, 264102146, 133387867, 347982344, 47930548, 931588825, 304333869, -1, 78459273, 36391691, -1, -1, -1, 18538929, 320580303, 486074489, 127926383, 282284020, -1, 392303259, -1, -1, 272882678, 978291158, 326243443, 27731886, -1, -1, 291679641, 701588219, -1, 427556650, 310666092, 948415759, 742508397, -1, 577279230, -1, -1, 699740744, 147927769, 322542672, 396806009, 18639850, -1, -1, 992561374, 828211707, 142930517, 311103976, 351122521, 395165587, 690482681, 861851242, 156337560, -1, 516665190, -1, -1, -1, 877541261, -1, 104647371, 12187206, 127922526, -1, 131573877, 94198986, 604346917, 313579174, 750312976, 746432373, 451813125, -1, -1, 502833167, -1, -1, 719137641, 86520460, -1, 861048370, 68504517, 474960887, -1, 763078055, -1, 160439797, 407146470, 798971721, 985754306, 977555738, -1, 198428136, 555492542, 820883162, 360366900, 28167377, -1, 104367764, 771369172, 115465942, -1, 897837052, -1, 516294516, 507564905, -1, 979318777, -1, 311343245, 341836383, 601665831, -1, 41317180, 611111045, 568752305, 892048356, 544294995, 727022582, 912211101, 122764347, 182082108, 433847301, 947070714, -1, 818198244, 446225439, 278463054, 989431044, 212009001, 493029540, 960887081, 376832758, 750519102, -1, 27890301, -1, 226788275, 384336437, 777868657, 979254326, -1, 641035123, -1, 99043771, 365332820, 274810114, 646006136, 966062475, 277162293, 811714631, 281642019, -1, 303856632, 994682796, 9921056, 40326980, 594932454, 158321046, 618427536, 934842624, 193175658, 7438480, 394417272, 771851744, 74257162, 212286528, -1, 408248227, 728424568, -1, 795476208, 638486235, -1, 848317641, 904863604, 686956281, 637636687, 900123550, -1, -1, 7610739, 421666324, 318473980, 612335855, -1, 687796927, 951492109, 442984766, -1, -1, 458608926, 495494269, -1, 687933450, 640226163, 234006115, -1, 216553360, -1, 647408614, 48841906, -1, 405825726, -1, 659173129, -1, 914428336, -1, 655991858, 95090566, 343802229, -1, -1, 43471045, 821150280, 318071857, 948094641, 87662660, -1, 185735547, -1, 596872570, 723516838, 158533314, 737342300, 182277704, 378039713, 944330344, 58808102, 58040006, -1, -1, 759831581, 205035333, 404424429, 132227952, -1, 631238085, -1, 257051567, 941007474, 387036926, 679377646, 515557032, 119699956, 861131840, -1, -1, 555585268, 194575431, 638218421, -1, 974096413, 480401827, 566777622, 428593667, 596433901, 921023777, 688187151, 947291437, -1, 890196748, 497090794, 489952240, 934685805, 830986304, 834035196, -1, 477658529, 261409443, 310262334, 159239549, -1, 17590701, 536459173, -1, 280113601, 635450928, -1, 296775551, -1, -1, 637176428, 780053819, 516616756, 571879173, 751089164, 835360508, 783995918, 558552836, 915009266, -1, 341890615, -1, 37551466, -1, -1, 525856660, 885076560, -1, -1, -1, 159243287, 901067188, 721531741, 479620986, 994218795, -1, -1, -1, 996417641, -1, 649347941, 857483601, -1, 54425540, 842125661, -1, 112748629, -1, -1, 443166437, -1, 242116188, 903707994, 746517697, 916895700, 124723387, 905758550, -1, 181836119, -1, 45253824, 56253726, 235827507, 400820153, 292571767, 862043617, -1, 874085127, 129905571, 791297696, 303612665, 876264107, 612931388, -1, -1, 818547721, -1, -1, 212940856, -1, -1, -1, 246082137, 494325796, -1, 96283299, -1, 323012120, 436302679, 988374597, 840131937, 226639580, -1, 40332998, 232114014, -1, -1, 324398783, 228225, 498270777, 359513064, 338536497, -1, -1, 942507237, 351871058, 936813742, 370550362, -1, 960530259, 676108126, 172762200, 594774762, -1, 264278821, -1, 502981290, 863731297, -1, 254906240, -1, 243348761, -1, -1, 930089269, -1, -1, 183332830, 727121689, 430206095, 696119374, -1, 241571406, 972817541, 124584069, -1, 280409783, -1, -1, -1, -1, 70009821, 990695823, 427546548, 446433063, 599790305, 604731139, 979773363, 76128855, 142903111, -1, 793588698, 251388304, -1, 883265757, -1, -1, 623333489, 92981421, -1, 673384942, 161228231, 735103220, -1, 968550760, -1, -1, 51597968, 369243411, 304714065, 413321005, 601314342, -1, 56643082, -1, 185026215, -1, -1, 544650920, 415245168, 809504263, 698700593, -1, 733333302, -1, 746808593, 111101387, 716447884, 772141825, 338727996, 999748168, 7649857, 82065873, 788109540, 65147977, 721217021, 415426734, 392386925, -1, 473751866, 117020443, 538400237, 33064525, 791257061, 84173625, 652367751, 317828154, -1, 704921817, -1, 352966542, 677180054, -1, -1, -1, 44057660, 797118366, -1, 985566777, 980246942, 217860877, 598734239, -1, 48585117, 761874913, 237438078, 176786190, 605674228, 553516650, 748157821, 481263276, 178539567, 313233121, 591981244, 522712667, -1, 744455018, 43542834, 265706123, -1, 860648175, 634348697, 625639884, 929211178, -1, 930646621, 389147239, 696975606, 108010198, 932415468, -1, 153650513, 742573456, 920257441, -1, 508795303, 263141749, 999250950, 504598476, 637539730, 963999042, -1, 187923923, 319618145, -1, 133857896, 513569603, 413158276, 455466674, 229029352, 537768839, 253928274, 878099159, -1, 885367927, 549958435, 4416798, -1, 826969727, 48416703, -1, -1, 880077525, 678208206, 122549066, 393720599, 1925756, 959398561, 516012274, 330592093, 150328072, 441242514, 284745913, -1, 907116084, -1, -1, -1, -1, -1, 361630826, 794453517, -1, 90633992, -1, 56298587, -1, 635915937, 759883852, 364229286, 505324815, 282551786, -1, 44839635, 473349441, 436247947, -1, 255092225, 945131737, -1, -1, -1, 612482129, -1, 243523811, 734145220, -1, -1, 890453770, 586962085, 826753914, 827653161, 481651719, 34677014, 200510887, -1, 649846445, 798456997, -1, 489503167, -1, 94509903, -1, 770879663, 886266679, 581735623, -1, 601399836, -1, 223327783, 909963394, -1, -1, 695395892, -1, 19247409, 455402978, 911471099, 869287708, 882992439, 149205244, 917431862, 978586208, 287668061, -1, -1, 967539359, -1, -1, 415453660, -1, 194264744, -1, 333207154, 816136839, -1, 132607242, 897384686, 837857827, 664065374, -1, -1, 261466897, -1, 113109319, 755069570, -1, 653977991, 527697835, -1, 770997779, 983760464, -1, 302411813, 434706676, -1, -1, 311380875, -1, 684801895, -1, -1, 471489266, 158045070, -1, -1, 295026797, -1, -1, 212844065, 269149970, -1, 894162061, -1, -1, 809238279, 213382828, 371071230, 458534155, 465548414, 337107763, -1, 910022429, 26921374, -1, -1, -1, -1, 736947074, -1, 78319965, 44967484, 294285363, -1, 447950112, 50008433, 351674794, 852999479, 246109450, 323138551, 20274487, -1, 133361271, 984518858, -1, 112778515, 421338890, -1, 934553681, -1, 824434672, 324582641, -1, 129297172, 173552237, 831136162, 302739186, -1, 518966487, 4531589, 757029454, -1, 639779062, 826902759, 251609134, 451501268, 932099049, 218463876, 115274374, 503266863, 739403937, 898744031, -1, 48386697, 452703686, -1, -1, 95579472, 463817933, -1, 953040120, 891961454, -1, -1, -1, 564656836, 753248926, 79061084, 583850860, 805450083, 679055259, 878391143, 322473452, -1, 933842702, 20893547, 351438227, -1, -1, 52156419, 306714238, 27746995, -1, 550527299, 388937850, -1, 833196972, 276570758, 40887197, 353524280, -1, 549313891, 436272491, 525079372, 118506788, 554595084, -1, -1, 906551785, -1, 392334530, 712774982, 754978114, -1, 25871971, 138951788, 557593119, 701037363, -1, 56469500, -1, 281961652, 827703742, 181682564, 756942903, 286558511, 591316475, 192875141, 382026143, 95934828, -1, 194057186, -1, 758796826, 129307447, 20891019, 28250392, 884194919, -1, 114771957, 511151657, 504793688, 93187910, 844718848, 382363928, 987266375, -1, -1, 396632026, 518349206, 457192591, 476557147, -1, -1, 543475470, 670172095, -1, -1, 360053610, 767822957, -1, 371407849, 337152958, 435028474, -1, 40994510, 314831996, -1, 924137747, 590665225, 793572137, 308887129, 57073385, 995622628, -1, -1, 629648653, 760626563, 119046152, 963831655, 439252696, -1, -1, 394902152, 517319629, 227756044, 387654233, 226825836, 853856401, 264034922, 742584957, 217937888, 542137743, 714391762, 129549402, -1, 590360833, 252908163, 18289155, 632414400, 113574943, 764827008, 581553448, 751473327, 823161642, 230173286, 254115945, -1, 251036862, 60849875, -1, -1, 488551827, -1, -1, -1, -1, 11125109, 876740910, -1, -1, 642690371, 842293028, 801160634, 480325806, 536599767, 862424736, 847868356, -1, 282761821, 783989146, -1, 751823108, -1, 407586824, 472082575, 821350526, 589534124, 126381905, 147121258, 714587142, 308335820, -1, -1, 756093825, 490215393, 576053890, -1, 810338835, 2653869, -1, 265263300, 661032871, 257899073, -1, -1, 954143035, 982212537, 235688732, -1, -1, -1, -1, 895559704, 672233475, -1, -1, 38551235, 12141517, -1, 535957109, 136526779, 289096015, -1, 618849938, -1, 427704252, 646960185, 609344468, 500030512, 672320597, -1, -1, -1, 333038303, 616487683, 896681957, 86364182, 891632084, 399364235, 503650465, 747402751, 34422653, -1, -1, 625449746, 380393127, 628959727, 667009759, -1, -1, -1, 388714894, -1, -1, 846591608, 791501020, -1, 436948724, 609270902, -1, 226519811, 231859526, 654042558, 685575816, 864320380, 659588314, 462916278, -1, -1, 751317804, 602709528, -1, 176315748, -1, 480521177, 462220925, 375377059, 136458644, -1, 48295752, 15990768, 416576341, -1, 566840626, -1, -1, 281042235, 576763744, 982471016, 512894873, 706226614, 56203429, 919877038, 196852731, 948464197, 858898392, 313669588, -1, 730719890, 760318740, -1, 849340550, 928767492, -1, -1, -1, -1, -1, -1, 101430565, 798462518, 403448067, -1, 375697372, 408222581, 489371387, 437692891, 586840856, 422635571, 240644109, 673816703, 854143626, -1, 521313206, 281975476, 791891295, 76101405, 98326299, 802459047, -1, -1, 151880412, 266281554, 595644976, -1, 31286316, 401430019, -1, 251730188, -1, 537389235, 392850188, -1, 299845269, 513118512, -1, 330252525, -1, -1, 739027169, 855833786, -1, -1, -1, -1, -1, 747149555, 209663081, 615234185, 858392942, -1, 460529487, 295014090, 267824701, 277374912, -1, 304780559, -1, 593058095, 198422324, 60464245, -1, 241980575, -1, -1, 252079413, -1, 443151617, 291096773, 265265802, 263913282, 147913779, 584731684, 517372224, 406029652, 436653341, -1, 834062899, -1, 165279584, 140887444, -1, 635458292, 212846631, 509528420, 354829730, 384766966, -1, -1, -1, 820382369, 765312895, 820307946, 729458518, 840265837, 560216433, 191367770, -1, 755318592, 122699393, -1, 428086147, 164714115, 530746869, -1, 912275276, 306945978, 704866070, -1, 958451780, 649385872, 642276051, -1, 531432281, 580805727, 398784739, -1, 394682640, -1, 539235046, 906027264, 172600648, 704520391, 891284967, -1, -1, 638224959, -1, 448350735, 95608090, -1, 708278563, -1, 16380183, -1, 168064814, 23369590, -1, 913119043, 531540066, -1, -1, 303376856, 672505667, 222343621, -1, 654835311, 888725524, 30842710, -1, 496056360, -1, 936010395, 603985100, 865805711, 101702068, 914341559, -1, 556739591, 259848612, 319057181, -1, 739962233, 847605444, 446820824, -1, -1, 717199295, 893131869, 512552441, 75349997, -1, -1, -1, 229865798, 522519835, 791327767, -1, -1, 612247628, 166074226, 633509103, -1, -1, 193554233, 154139001, 478556409, 858431923, 75172126, -1, -1, 649929229, -1, 79460414, 144782512, -1, -1, -1, 120259259, 175459646, -1, 422279424, 161909309, -1, 374998330, 183914242, -1, -1, 331361123, 97351906, 306998110, -1, -1, 478309288, -1, -1, -1, 917938985, -1, 105816198, 106093850, 686327057, 548996008, 978844967, 199136918, 529991395, -1, 965493940, 950928413, 364971937, 953180568, 706400149, -1, 313683115, 859225195, -1, -1, 542356674, 98288394, 447155162, -1, 942475610, -1, 967001640, 608244147, -1, -1, 194414785, 835202973, 123625265, 590939525, -1, -1, 922792669, -1, -1, 682201002, -1, 356776036, 395130539, 353789758, -1, -1, 247165539, 598023823, 643387463, 43817518, 61589051, 484551049, 828507079, 619592060, 798143918, -1, 520593830, 217148483, 155873424, -1, 667243110, 923851446, -1, -1, 798475672, -1, -1, 356104308, 948642686, 116300221, 823766817, -1, 88872797, -1, 299763421, -1, 302698101, 250489861, -1, 18492825, 106395927, 385654900, 819266314, -1, 567319839, 399338647, -1, -1, 725381547, -1, 54599095, 111368358, 327018806, 858176261, -1, 922042530, 496279865, 705186254, 771836257, 69626736, 867406381, 433314582, -1, 273638116, 531334920, 471398496, 409105131, 642416283, -1, 803365077, 119329142, 181299821, 453025770, 270604847, 349963438, 215223300, 844994683, 402197934, 854047005, 610168348, 564238804, 262266486, 435717044, 856941017, 790132057, 374930791, 119946854, 733878854, 174184134, 549525729, 129834841, 52692085, 194455363, 768013055, -1, -1, 285128696, 429734184, 933096023, 366950874, 579747674, 405727332, 717887332, 590044079, 261918645, -1, 417410620, 450449949, -1, -1, -1, 48317256, 905565320, 712190457, 733554933, 436270960, 531470045, 930144439, 550682424, 905808012, -1, 88032767, -1, -1, 572747627, 321542306, -1, 511587968, -1, 416501340, 14823805, 927202581, 940860867, 370263729, 867355219, -1, 962618591, 77413470, 575396688, 358297836, 101308363, 12906411, -1, 202725208, -1, 118090111, 461760235, 622284071, 62940743, 376167853, -1, 701092623, -1, -1, -1, 254597664, -1, 233618846, -1, 643436537, -1, 441768460, 127988362, 292276046, -1, 589879914, 946384469, 672138307, 105605386, 883314655, 976670617, 286535127, -1, 765499766, 511817174, 205910741, -1, -1, 322648519, 99066834, 765681642, 816568083, 564252617, 420702285, -1, -1, -1, 134254081, 116590653, 480181293, 720945109, 259902587, 471343073, 829934220, 876520206, -1, -1, 330630938, -1, 965223925, 737970059, 517377414, 379874317, 809872199, 612399373, 848534514, -1, 102347244, 722463219, 942603770, -1, -1, -1, -1, 628662212, 926309002, -1, 226857737, -1, 104996473, -1, 29635222, 795354154, 179036119, 708170055, -1, 592703419, -1, 666500339, 509117822, 175209598, -1, 17989842, -1, 503766454, 851380301, 589531098, 437074291, -1, 389580352, 246195334, 104913428, 773708148, 250263481, 986989867, 823398827, -1, 362583405, 744556693, 396651318, 731187051, 382279265, 347954256, -1, 483735782, 55008386, 137176786, 91685323, -1, -1, -1, 559874744, 459583969, -1, -1, 492704462, 549892424, 376194999, -1, 733470764, -1, -1, 569177776, 722703089, 974451839, -1, -1, 694564475, 703444560, 940339772, 793413706, -1, 503197735, -1, 982749331, 865936773, -1, 913737107, -1, 124382603, 247390195, -1, 842963742, 749169423, 23352886, -1, 427357771, 793520454, -1, 982275867, 672013113, 380829960, 765925626, 206396598, 128291887, 613730010, 238084525, 598889632, 17228756, 275697732, 57443475, 507244425, -1, -1, 718311385, 880284801, 280948305, 765444518, 659108057, -1, 511123403, -1, 717844908, 778083095, 627261438, 83117169, 899190700, 561448594, -1, -1, -1, 568001987, -1, 17581703, 26983368, 228533955, 164208507, -1, 151991398, 250532692, 570331028, 375041453, 857964265, -1, -1, -1, -1, -1, 97166090, 985399882, -1, 79718616, 39059121, 450929554, 20430066, 903109275, 54773974, 461604466, 540274274, 404236813, -1, 362606488, 580003898, 192471764, -1, 840614976, -1, 386000484, -1, -1, 484569234, -1, -1, 146940876, -1, 784255522, 649391620, -1, 859129815, 220634474, 908042748, -1, 395225940, -1, 968618686, -1, 192654947, -1, 319710752, 638875921, 403140623, 920399736, 499734933, -1, 538253758, 407998396, -1, 989919056, 189053905, -1, 902326916, -1, -1, 328874221, 934144011, 994773967, 113610471, 618923590, 175718488, -1, 891877851, 141393998, 828516349, 156034132, -1, 330642340, -1, 4022062, -1, -1, -1, 70512980, 928012359, 196157857, 162983904, 762297716, 73548088, 109084902, 637452335, -1, 303963713, 914094250, 782784807, 714828178, -1, 391157583, 449006496, -1, 69949080, -1, 820060429, 709321908, 133408244, -1, 144132362, 854034199, -1, 617565468, 817682388, 700327303, 100797612, -1, -1, 646928236, 899870668, 912376606, -1, -1, -1, 890397464, 552043996, -1, 126716829, 522380256, -1, 667706384, -1, 327666020, 986106014, 542755287, 841001136, 89635191, -1, 331995672, 386551219, -1, 643733736, 611088974, -1, 241540080, 537185605, 397455625, 878723989, 47578007, 312615878, -1, 982967822, 995659171, 148177553, 244178113, 503655673, 714061382, 394610974, -1, -1, -1, 563907955, -1, 264510161, -1, -1, 115498482, -1, 153147693, 437527404, 817214618, 837338923, 562106761, 399033317, -1, 752547905, -1, 389283950, 38612872, 684241057, 124051400, -1, -1, 120508072, -1, 159628845, 342069226, 820727045, 253865696, 45453361, -1, 489876888, -1, 107757888, -1, 42836881, 400575850, 813034457, 423528161, -1, 607793124, -1, 424489713, 939896721, -1, -1, -1, 834882057, 890060661, -1, 904083018, -1, 371037394, 731311005, 989913998, 860723079, 237242039, -1, 474803164, 606686543, 420721888, 84155109, 54013192, 222947354, -1, 182914378, -1, 760053240, 336931595, 894740148, 626131016, -1, -1, 721362246, 609985121, 340361929, -1, 660014485, -1, -1, 649913350, 894859196, -1, -1, 822300260, 582431483, 832088904, 37721601, 698655072, 480373043, 667960333, 320792333, 835077664, 176744310, -1, -1, -1, 436528633, -1, -1, 141094679, 974108456, 911060419, 914889472, 519978893, 216069043, 765490231, 146642248, -1, 876845856, 496301543, 875114936, 47115987, -1, -1, 25056322, -1, 650727726, 499539660, 619588006, -1, 201538323, 430284088, 44714548, -1, 444277046, -1, -1, 790466473, 140837053, 219276995, 109893130, 749163731, -1, -1, 560089872, 111603193, 682536523, 612815801, 128980034, 586824621, -1, 560293084, 612156966, 405134607, -1, -1, -1, 783337383, 732091963, 967505371, -1, 519751189, 559821080, -1, 198059843, 813402820, -1, 431971237, 791429250, 109481587, -1, -1, 283786499, 10478168, 399281926, 405356539, -1, -1, 180117083, 86795765, -1, 442479757, 466864789, 794912857, 856310939, -1, 807496651, -1, 314962186, 827661754, 678092614, -1, -1, 338485294, -1, -1, -1, 339483295, 148395111, 311458204, 982651806, 935023757, 64124339, 494853728, 703148683, 872367771, 859803986, -1, -1, 624040344, 998554040, -1, 602963300, 614482465, 8197372, 368947632, 188196124, -1, -1, -1, 417778548, 111988894, 588204742, -1, -1, 143280008, 87650183, 745984177, 856571096, 919852962, -1, 738106737, -1, 874607963, 385270854, 321872087, -1, 640000802, -1, 156131004, 633132806, 29052533, 453956286, 22619376, 326008204, 455904607, 356649228, 919522869, 10233055, -1, 839306934, -1, -1, 464508514, -1, 737289132, 662457230, 656937236, 7722099, 674089802, 643567199, -1, 717486387, 726732119, 984605861, -1, 661583928, 677863539, 227958444, 591088291, 44055776, 26054053, 908281890, 364590909, -1, 10461293, 899931458, 64526669, 576697458, 253687689, 737977783, 271766661, 295778548, -1, 533402218, -1, 186153223, 26424197, 322871777, -1, -1, 928040354, 54746706, 980543957, 219743114, 863080705, 363044010, 711040456, 158619118, 365947606, 978744486, 112690228, 856539267, 53066996, -1, 907694387, 727871893, -1, -1, -1, 840064978, -1, -1, 597515677, 232682109, 282816054, -1, 398525460, -1, 878647076, 550772479, 246249064, 391794863, -1, -1, 637639593, 253389797, 687736498, 59784239, 769846330, 736995340, 32664981, 172756576, -1, 532954096, -1, -1, 726227719, -1, 774704471, -1, -1, 397010071, 371003226, 888313247, 242655165, -1, 904381053, 635137336, 740002553, -1, 437583186, -1, 156727366, 43273762, 542724859, -1, 194005264, 139359077, -1, 558636173, 322053125, -1, 722584468, -1, 352678717, 295634945, 956238367, 701211993, 33876737, -1, -1, 927796389, 942185060, 893039549, -1, 104616921, 546325449, -1, -1, 722577494, 717871843, 583897439, 932556014, 984260641, 482070317, 921019228, 258341686, -1, 868569786, 732650388, 634813137, 360897994, -1, -1, 983433843, 740082533, 139477113, 78537462, 925739328, 839383463, 15484579, 988286554, -1, 737458606, 947348209, -1, 629430932, 184012818, 289216157, 787497363, 55701571, -1, -1, 355995359, 312977522, 660130299, -1, -1, 40925519, 26720689, 181411340, 13340010, 715387551, 53995155, 694480078, -1, 144720942, -1, 492680739, -1, -1, -1, 671427846, 161239080, -1, -1, -1, -1, 813868285, 529825030, -1, -1, -1, -1, -1, 726733312, 299486800, -1, -1, -1, 58040817, 967102076, 884626551, 582913603, -1, 716648252, 254200826, 152013289, 674138022, 409417939, -1, 877072918, 101780730, -1, -1, -1, 677238274, -1, 203643828, 444332860, 527444244, 953027129, -1, 688469392, 253693859, 545726813, 339391142, -1, 837339882, 388546744, 612775985, 131805909, 84192755, -1, -1, 261334300, -1, 710004745, 321298345, 846473770, 921526384, 319535273, 692154284, 384620543, -1, 181949869, -1, -1, -1, 139902648, -1, 706343647, 857811965, 270128641, 267634488, 391779708, 375182248, -1, 392543347, 268259792, 531439982, 12027258, 760797726, -1, -1, 322747400, 536087211, 314016992, 120333368, 452872515, 528790904, 161929109, 584900219, 996738261, 624116812, -1, 353163445, 266149408, -1, 434406299, 674596081, 609936945, -1, 296471898, 349059393, 138264834, -1, 670308987, 28209618, -1, 365383579, 78789958, -1, -1, 275911226, 625119234, -1, 148693254, -1, 422354978, 314375749, -1, 65885824, 472906012, 174849798, 533329303, 662734266, 522248942, -1, -1, 145118095, 784657865, 301749513, -1, 256191770, -1, -1, -1, 160541580, -1, 717011820, 18532920, 831355516, 173903920, 938508888, 889060840, 300106923, 583002056, -1, 339677955, 709193138, 477239184, 626498989, -1, -1, -1, 237201167, -1, 168480512, 259190688, 943901805, 290595089, 150606613, -1, 961698423, -1, 134842546, 290641482, 275631985, 77058912, 139040684, 980370842, -1, 718406385, 754566073, 743540089, 674606159, -1, 817445885, 861819874, -1, 724525627, 571459031, 451789346, 637312371, 272949018, -1, -1, 521308673, 931245772, 723643388, 246268620, -1, 849869985, -1, -1, 124202651, -1, 592828198, 899450582, 512834047, 244002640, -1, -1, -1, 544857627, 871570784, 822067623, 787026754, 588394912, 328923676, 188000089, 214506529, 564417061, 420297859, 411774745, -1, -1, 732032917, 110489919, -1, -1, 259184198, 158115642, 123876345, 202062665, -1, -1, -1, 484876882, 575052453, 342544024, 343014023, 179663636, 14044597, 366350500, 382350966, -1, 475744436, 262202332, -1, -1, 334020734, 861361191, 281717162, -1, 67258536, 917925036, 888506493, 956321073, 63318718, -1, 746252762, 960408699, -1, 588474183, 983452550, 273667044, 2429175, 755082985, 133196209, 753626778, -1, -1, 70095849, -1, 332024262, 715283551, 553684280, 580165448, 694338857, 286899782, 911041921, 883540568, -1, 70949964, -1, -1, -1, 702874951, 67702633, 996692035, 87009342, -1, -1, 883956417, 249368679, 887289680, 790915666, -1, 51573311, 296345652, 631505935, 262972816, 190835671, 250838829, 179069196, 337571168, 122259419, -1, 361079564, 350676937, -1, 826221357, 798782453, 200776626, 184089864, -1, 754639772, -1, 870888409, 127157542, 389781810, 485762713, 879666876, 669699265, -1, 731838025, -1, 343471271, -1, 819529556, 735002822, 426052953, 563046645, -1, 930301005, 2697781, 644568731, 522369437, -1, -1, 834474931, -1, 326457734, -1, 111013154, -1, -1, 963904618, 210917287, -1, 302297538, 299512541, -1, 455365365, 944169943, 266193050, 937054835, 927911692, 92919623, 59507418, 637693590, -1, -1, 199012236, 603489813, -1, 322220819, 619863579, 820890775, -1, 287207397, 556858940, 147394900, 692921681, -1, 180008542, 604032192, -1, 679539834, -1, 117348905, 517127238, 709266253, 452098517, -1, 935775798, 12133383, 192042518, -1, -1, -1, 24395354, 142286958, 991264107, -1, 188643662, 428668522, 902385243, -1, 805250931, -1, 762926767, 112390881, 563977380, 68810112, 914049369, -1, -1, -1, -1, 809957325, 912999287, 350663738, -1, 803400959, 729613752, 632130234, -1, -1, -1, 371130886, 707975477, 461003655, 45465902, 226789610, -1, 436697479, 57455519, 718971133, 663556028, -1, 649973980, 636253139, 548486119, -1, 116821119, -1, 663881633, -1, -1, 703904371, -1, 925688210, 926037859, -1, 181452356, 663316205, 331475792, -1, 517486400, 57589495, 221545813, 930487911, 270933790, 792222920, -1, -1, 360973617, 911566070, 469436388, -1, 478897619, 326931451, -1, 119249165, 770027266, -1, 496184313, 470793891, 296149005, -1, 537474243, 399324148, -1, 928329403, -1, 170832845, -1, -1, 888401080, 867057342, 792030388, 705503124, 569056613, 365023226, 107890741, -1, 364500930, -1, 402053633, 866170474, 233669363, 497202854, 502822458, 583361553, 337010914, 934468428, 468642033, 122941105, 230863665, 383999412, 789964909, 901693036, -1, 199557174, 850183549, 928457593, 170087522, 745614913, 923909066, -1, 150250950, 409485571, -1, 854197418, 27057152, 649775413, -1, 915391636, -1, 429689192, 374974672, 449664067, 853780820, 888797299, 49319418, 95003994, 645912318, 711590913, -1, 820343833, -1, 104416603, -1, 82074551, 77311309, -1, -1, -1, 736841665, 243453757, -1, 841720668, -1, 40010285, -1, -1, -1, 226756267, 926423360, 261634660, 18986867, 882058746, -1, 260829924, 117371568, 427559621, 121142003, -1, 837983177, -1, 98193761, 694440049, -1, -1, -1, 605566943, -1, 407129665, 90738418, -1, 148472922, 160976433, 673111074, -1, 381033297, -1, 724867536, -1, -1, 461300960, 515230669, 611096768, 654982964, 301723210, 87188349, -1, -1, 938716438, -1, 200966475, 280523886, -1, 297999091, 141884862, -1, 563522358, 456697973, 149821698, 195060869, 983437241, 240876434, 874589673, 540989758, 257045460, -1, 161469459, 106281163, 420644578, 112800939, 875437896, 307101011, 348356966, 300803183, -1, -1, 317454725, 639499164, 953008410, -1, 259969806, 243322816, 685731469, 830598816, 516693103, 145882122, 853901598, -1, -1, 979147821, -1, 49585477, -1, 999918692, 762730505, -1, 915431738, 352678998, -1, 669180027, 642218191, -1, 354462165, 543144211, 341135065, 637804369, 396263498, -1, 663022873, -1, 844710733, 168660684, 115161224, -1, 208045691, 556391706, 608124072, 102191043, 310908472, 137111211, 35258933, -1, -1, -1, -1, 226426855, 11108390, -1, -1, -1, 504424785, 1369663, 776804097, 741579697, 6548147, 127361755, 487482589, 155916152, 167876844, -1, 937982669, 361829845, 591034685, -1, 969636430, 338041351, 314233272, -1, -1, -1, 698249564, 629816983, 673245654, 508881966, 204899457, -1, -1, 878495331, 565223867, 167664702, 804440293, -1, 261314677, 601723765, 212141074, 272592141, 12760414, 910662729, 358591702, 352104172, 940742115, -1, 863144247, 976822335, 915123351, -1, 509298620, 628175583, -1, 794810563, 691289313, -1, 696589939, 450575618, -1, -1, 77661552, 915494223, 3024223, 42836174, 329656780, -1, -1, -1, 738006934, -1, -1, 547723036, -1, 676126503, 204241695, 981540444, 187650104, -1, 477834990, -1, -1, -1, -1, 579420841, -1, -1, 910846571, 415958743, 618476568, 806826997, -1, 281949099, 222381590, 976254736, 308252828, 325139155, 201355772, 496589901, 320750787, 649995686, -1, -1, 97878938, -1, 19063776, -1, -1, -1, 995958635, 963125738, 302813202, 933768256, -1, 828711692, -1, 955518158, 883167648, 291698072, 316025262, 957919557, 117743836, 684097021, 60222930, -1, 570574226, -1, 94443967, -1, -1, -1, 472050855, 428017677, 838182052, 794553209, 429949870, 901726899, 471616124, 554371801, 258425237, 30814193, 341880413, 702163176, 796634800, -1, 520974179, -1, -1, 224178845, -1, 434099423, 578398058, -1, 836189590, -1, 313303505, 210818652, -1, -1, -1, -1, 591993071, -1, 242749658, 816478248, 530719535, -1, 504412769, 73446917, 258934015, 658000262, -1, -1, 353693749, 570257691, 756374769, -1, 320717186, 590347683, -1, 513425010, -1, 750204969, -1, 107375562, -1, -1, 419039198, 246347882, 376552653, -1, -1, 397379039, 926935859, 627499366, 458046786, -1, 634206533, 941489049, 821886098, 818550238, -1, 369729958, 281549737, 197593176, 101597372, 335726733, -1, 970509767, 818321115, -1, 218360185, 381752522, 55493137, 808488373, 694516304, 899254677, 997664874, -1, -1, 476783181, -1, 61484637, 807972721, -1, 818836669, 853550251, 312912473, 309775296, 948831988, 963743293, 898984189, -1, 751776215, 387959707, 742589939, 516904891, -1, 974405656, 726892779, -1, 328259081, 758844445, 106811051, -1, -1, -1, 426321216, 820172261, 361182164, 714464123, 96144402, -1, 873946531, 543606864, 729684630, 756552335, -1, 388714385, 472305856, 463751275, 296888150, 439315955, 413503492, 412198805, 291729288, 899236255, 700908194, 676927361, 239593553, 402207440, 845882475, 414593555, 848369777, -1, -1, -1, 188602767, 149678693, 60981688, 714916604, -1, 143511917, -1, 999098603, 505923509, -1, 570331946, -1, 401623217, -1, -1, 438682392, 269385762, -1, 305127136, 525922813, -1, -1, 526455803, 742531372, 369153744, 370299858, 750965040, 769309043, 317247826, -1, 803603864, 769138856, 161004189, 590600211, -1, 545095805, 217377089, -1, -1, 942700166, 801864979, 162445263, 989716196, 32743597, 156262825, 660883902, 562177212, -1, 964672928, -1, 687188675, 723714495, 172128778, -1, -1, -1, -1, 529644723, 726088764, 564351985, 855375589, 404393442, 324708571, -1, -1, 710413139, 877620209, 629512859, -1, -1, 211838160, 646376075, 951963702, -1, 63198599, 344287846, 649469058, 389092560, 280973578, 375009977, -1, 414413412, 191952815, -1, 983887072, 991641999, 233089044, 116806694, -1, 675287826, -1, 958957581, 716241892, 529140864, 692066425, -1, 502375807, 965948818, 82228128, -1, -1, 517526866, 496993940, 664572097, 477647119, 507419759, -1, 141490305, -1, 195785634, 104506432, 423142826, -1, 181343295, 66363475, 58855301, 779738263, 330295610, 735433033, -1, 822787157, 888798381, 216047429, 490860523, 847277056, 439654796, 249893876, -1, 87299115, 828813181, 366153546, -1, 903634054, 230050915, -1, -1, -1, -1, 844493583, 620416669, -1, -1, 825849562, 281201273, -1, -1, 272511978, 839411950, 747938474, 591720634, 865055370, 714506883, 41442238, 213327721, -1, 483314669, 791095475, 411299643, -1, -1, -1, 884665271, -1, 882662150, 840172023, -1, 309534682, -1, 950157938, -1, -1, 369701837, 347272574, -1, -1, -1, 534365401, 491317475, 572866548, 113904144, 127014996, -1, 323520027, -1, 824341999, 140891557, 640658203, 967282421, 53534677, -1, 264776064, 204091444, 491192783, 575243060, 997963440, 388073318, -1, 978280084, 81077264, 300627208, -1, -1, -1, 567907305, 285290008, 473243272, 112689525, 311530867, -1, 936446388, 560350031, -1, 121982130, 249911696, -1, 363816426, 444444901, -1, 600030004, 616899247, 548197119, -1, 432691500, 788655141, 936377611, -1, 412863010, -1, -1, -1, -1, -1, 968557625, -1, 399017784, 991964966, 238344099, -1, -1, -1, 554820884, 536979495, 116771478, -1, 566040090, -1, 426468563, 204343612, 26072782, 336265448, 490005453, 161950426, -1, 12539160, 309464683, 698790470, 22402776, 288778578, -1, 179577317, 57089756, 695744072, 190142790, -1, 679617658, 612818153, 70206008, 203964889, 503443068, 338498481, 495337313, 236215340, -1, 999156292, -1, 566633242, 626350968, 823942257, 780111367, 961532847, 215553853, 646505337, -1, 483040822, 551170023, -1, 949362718, 427116970, 603015611, 755091361, 728532454, 587634221, -1, 702244128, 314098214, 85653485, 962415178, 706619248, -1, -1, 564027024, 941490041, -1, -1, 593308624, 39693718, -1, -1, 773550305, 369368592, 266948138, 149671465, 937417313, 36848226, -1, 298652302, 128291207, 410816271, -1, -1, 886413333, 750667008, -1, 235085415, -1, 90137469, -1, -1, 393199234, 822708676, -1, -1, 847891810, -1, 693419846, 197145549, 249044797, 399140601, 65201479, 209336069, 111255306, 660260001, 546801143, 52996557, 704471094, -1, 167946922, 180307034, 940440405, 782562523, -1, -1, 571812478, -1, 655482947, 660376030, 654437833, -1, 614390223, -1, 91770237, 428162940, 911230707, 161398758, 936870854, 33885357, 266386808, 366910984, 749876491, 669918725, -1, 781959854, -1, 867504742, 598075382, 373492859, 836687852, -1, 512124390, 145897610, 14122116, 873081065, -1, 210240969, 82030734, -1, 76565624, -1, 453467036, 540691768, 190836464, 547507272, 263436724, 127239589, 717168490, 259060820, 495436466, 329564220, 942949841, 530280611, 781673821, 149500343, 910187941, 9445729, 992629222, 421253651, 684906249, -1, 760340207, 427305594, 820494680, 25235296, -1, 353697043, 933895169, 757880382, 555469802, 186028120, 406346510, -1, 200567478, 891084924, -1, 60398021, 708644285, -1, 479594893, 389326356, -1, 416982103, -1, 459511855, -1, 518819233, 122307811, 881313514, 279494682, 755891141, 161053740, 205074860, 852241499, 970595737, 224492990, 788583892, -1, 257611774, 435500138, -1, -1, 146502447, -1, 370750066, 192431646, -1, 266823226, 100857936, 778465666, -1, 577698765, 600948683, 155280036, 899348979, -1, -1, 714631939, -1, 216547683, 204051194, -1, 497885542, 605365234, 761796180, 118145341, 336730368, 980612614, 730232344, 419755867, 158085932, -1, 704742786, -1, 908066594, 722042635, 405568105, 884230085, -1, 280440580, 693967846, 855179903, -1, 208023440, 670546728, 833620364, 540073366, 15050212, 864983723, 381582609, 211721125, 785982284, 798075484, 655165279, 453879207, 209735399, -1, -1, -1, -1, 954183813, 294538258, -1, -1, 561454627, 589662033, 481283784, 953109449, 829102920, -1, 166436992, 498884824, 345942529, -1, 167089879, 742072371, 127558811, -1, 926886829, 124906559, 240288775, 631249538, 819334454, 722891290, -1, 399723429, -1, 814634924, 203658400, 149395385, 56261016, -1, -1, -1, 922001962, 485065304, 275154449, 829384231, -1, -1, 588092657, -1, -1, 284157982, 577208950, 335862931, -1, 771474590, -1, 949026259, 119261161, 648221152, 412592451, -1, 144189321, -1, 391777367, 690459953, 156722721, 336552390, 148648467, -1, 547763128, -1, 630845038, -1, 454237623, 995543128, 238315486, 706150612, 419067895, 762655860, 298137758, 504085715, -1, 973969510, 349126541, 473322526, -1, 172052408, -1, -1, 565113694, -1, 473567323, -1, 679183095, 808857520, 262596648, 878517556, 998217799, 849538732, -1, -1, 960270771, 7652982, 734303002, 625523898, 644902074, 536780581, 213413647, -1, 375879154, 731548257, 532263678, -1, 416983740, 509515369, 757914780, 612484482, 31764673, 21868933, 860676904, 97571429, 57404107, 215396252, 134582637, 350187587, -1, 514949702, -1, 650976117, 367164923, 632829893, 611093905, 206804776, 655438571, -1, 584140575, -1, 227522667, 497500725, 586113193, -1, 772087916, 123730877, 506530267, -1, 964357771, -1, 248657319, -1, -1, -1, -1, 996985828, 706067078, 562113600, -1, -1, 475129795, 479412581, 100288582, -1, 792655986, -1, 787755620, 269597107, 451871098, 659843945, 661775787, 901792381, -1, 812270826, 550563967, 23906609, 606737014, -1, 534914861, 28903502, 242639804, 926264429, 405046411, -1, 77676977, 655137223, 94160304, 193367741, -1, -1, -1, -1, 843461252, 799624571, -1, 34772819, 135123240, 409703429, -1, -1, -1, -1, -1, 81697152, 936964591, -1, 355500075, 643197231, 640092038, 9904, 65025626, -1, 262691173, -1, -1, 623031180, 149691067, 142141735, 783789473, -1, 37205000, 857127296, 453324746, 806360395, 247483077, 403724441, -1, 719628608, -1, 807450950, 351582687, 879714737, 167564652, 384774205, -1, -1, 326190061, -1, 501199972, 877456797, -1, -1, 602848752, 574433984, 778578213, -1, -1, -1, 949108441, 574694815, -1, -1, -1, 918849492, -1, 29083887, 568165785, 48419668, 193280306, 996745248, 928858914, -1, -1, 363175550, -1, 875633383, 564535142, 753382253, -1, -1, 648647519, 534288611, 312658705, -1, -1, 892481028, 462531680, 866246213, 953525808, 630800721, -1, -1, -1, 8741598, 441585248, -1, 666057322, -1, -1, -1, -1, -1, 553545320, -1, 676394364, 910043292, 244181971, 220247385, -1, -1, 842060831, 636994643, 176765503, -1, -1, 757893594, 520385573, -1, 601730269, 630625054, 817546239, -1, 460670087, 704041714, 199650964, -1, 655393955, 589704156, -1, 220174536, 789775267, 830080657, 508496891, 868867426, 908678203, 450805139, -1, 524965497, -1, 287132932, 320324216, -1, 777013200, 475672975, -1, 387460371, 686583993, 278967659, 263844341, -1, -1, 241249988, 585161659, 166439039, 123836310, 221786545, -1, 419450093, -1, -1, 906247238, 117655745, 578974271, 210631545, 188620386, 534441324, 760761228, 696290546, 999048354, -1, 588695465, 318573961, 64423673, -1, 786045002, 505323034, 873963795, 498970801, -1, -1, -1, 372497710, 497131936, 511814597, 684711331, 914670573, -1, 851531599, 704009930, 269558317, 283379543, 425639789, 273013802, -1, 820401208, 102839230, 779816301, -1, 89574694, -1, -1, 19910427, 737461689, 968789511, -1, 402799098, 118887508, 261146686, 365903118, -1, -1, 604111590, 263404155, -1, -1, 526795884, -1, 603817074, 722877398, -1, 134574554, 836843427, 632977760, 891722542, -1, 444283205, -1, -1, -1, -1, -1, 111975358, 609976281, -1, 93519398, 835717886, 314264505, 68733471, 518766763, 196897827, 896273531, 941867390, 777743431, 862374024, 562934593, -1, 544611822, 415785152, 162793220, -1, 573703491, -1, 42822821, -1, -1, -1, 271552811, 320322079, 701696843, -1, 973574018, 815455940, 294324502, -1, -1, 434033789, 80643518, -1, 959306667, -1, 898546503, 205359211, -1, -1, -1, 185763866, 980067591, 711604430, -1, -1, -1, -1, 746063180, 466891717, -1, -1, 150734662, -1, -1, -1, 667201332, 977331935, 335916641, -1, 732728528, 640322909, 638280912, 799767848, 874588932, 463174871, -1, -1, 819973240, 626852360, 937940093, -1, 362294942, 573148506, -1, -1, 482968642, 342159393, 755767655, 559723695, 191119038, 445570657, 635784242, -1, 311981459, -1, 997159559, 246290638, 915605594, -1, -1, 220504660, 984229730, -1, -1, 257975323, -1, 278371066, 73565341, 116891593, 942013429, -1, 409584615, 977148992, 979328132, -1, 655675833, 936118194, 879516670, -1, 822804330, 994534776, 216992347, 190218169, 316769481, 678749207, 472602098, -1, -1, -1, -1, 719087847, -1, 474611228, -1, -1, 278962997, 790678078, -1, 390834314, -1, -1, -1, -1, 243064779, 85545349, 407663526, 929320196, 977376058, 988584313, -1, 933329131, 811394939, 530539492, 318601493, 292381429, 643851328, -1, -1, -1, 96158298, 811616578, 785308550, 309820609, -1, 310898033, 796809522, 644938590, 534219673, 981576437, 315481320, 689539327, 274530799, 476694930, -1, -1, -1, 579874511, -1, 187132840, 772963427, -1, -1, -1, 293811734, 250575911, 779477003, 73669296, -1, 743773087, 64559145, 589706092, 329489668, -1, 617667702, 557546875, 264346066, 310966531, 451901775, -1, 169015450, 499102406, 960823317, -1, 308447029, 60606270, 371322217, 864476051, 609148562, 508670576, 957421344, 631759181, -1, 255661506, 176449292, 260465757, -1, 888276749, 148643931, 115349036, 951369377, 896378685, 91777572, -1, 790496392, 868799463, -1, 591001932, -1, 51616012, 856356555, -1, 71537319, 37780576, 854623976, 510597332, 190853171, -1, 870472518, 478202833, 458546432, -1, 231167281, 131769293, 837449065, 899202468, 533431448, 623756192, 726253980, 653906275, 719730528, 274794277, 802470131, 400594701, 199419859, -1, 956137355, 366447052, 495106144, 471194756, -1, 412293426, 791170887, 108551978, 767510801, 932972485, -1, 762226661, 685414004, -1, 182321148, 160418461, 571088204, 809875041, -1, 515284867, 781806676, -1, 728824292, 894366220, 817097664, -1, 739711570, 374823696, -1, -1, 797005166, 169541015, 51050196, 224416724, 663765165, 446379984, 218944542, 595928424, 26061714, -1, -1, 855763231, 114014886, 420497010, 172141130, 861825602, -1, 96385175, 170035735, 944658495, 854418785, 560657037, 349618923, 996990469, 380754657, -1, -1, -1, 321452377, 698432131, -1, 321512980, 158905482, 328376650, 801580801, 452119279, -1, 937325172, 49511360, -1, -1, -1, 41279233, -1, 817233038, 517288609, 465903284, 52417477, 741725265, 388316319, -1, -1, -1, -1, 835726063, 928012226, 763725663, 63814918, 752204267, 25408697, 77134630, 621929718, 914569464, 950372662, 171833220, -1, -1, 791654046, 861531156, 750753098, 285959156, -1, 221902757, -1, -1, 164935672, -1, 335249268, -1, 844045455, 863321479, -1, 661425601, 530128374, -1, 698289803, 814526191, 477072128, -1, 826818655, 7241092, 962650597, -1, 807477857, -1, 912433126, -1, 763007627, 644644863, 545135174, 474668170, -1, 206059167, 704117977, 393095942, 345877396, 249668724, 66382443, 36841195, 583872351, 941874792, 258528126, 293473795, 350621588, 284637913, 387386759, 174785423, 957981362, -1, 883506608, 636329107, 512615370, 62627918, 857601496, -1, -1, -1, 279758625, 79161463, 606099905, 375962233, -1, -1, 669759757, 86516299, 169717400, 661508396, 630178663, 520287174, 966497472, 362857092, 997283748, 660251868, -1, -1, 572267959, 515206503, -1, 747339783, 897539508, -1, 438307812, 289058936, 72211348, 389213211, -1, 420595413, 632644829, -1, 721622918, 539175126, -1, 602197560, 325427171, 987483723, 59457148, 24367114, 430607163, 669794595, -1, -1, -1, 497954881, 3286348, 90070262, 149129309, 729462180, 875853994, -1, 373245263, -1, -1, 851771259, 653782212, 66890522, 339503374, 710779745, 853742735, 324515028, -1, -1, 770734633, -1, 294354672, 529315882, 854816893, -1, -1, -1, -1, -1, 874542990, 288674289, -1, 770940194, 820593866, -1, 904266285, 688673453, 463812315, -1, -1, 281397273, 934928426, -1, 856136543, 306071067, 401916679, 726897066, 852633390, 2212773, -1, -1, 545217518, 726897114, 731482662, -1, 76154204, -1, 711263554, -1, 309843588, 127418995, 399027423, -1, 747173571, 119775387, 715004522, 86658586, 969767041, -1, 104115177, 874046947, -1, 252283393, -1, 645500204, 18449651, 595530939, 970376856, -1, 66946631, -1, -1, 814204190, -1, -1, 367493288, -1, 495575155, -1, 968426471, 430580999, 607894093, 37622067, 811538859, 854782328, 912724250, 594643861, -1, -1, -1, 760111192, -1, 623001343, 496338045, 89932939, -1, -1, 110377243, 326385119, 997903401, 171434102, 307447649, 463135581, 66139068, -1, -1, -1, 355828342, 431303389, 240298863, 986531624, 510802117, -1, -1, -1, 634368435, 778643397, -1, 457314905, 838267498, 610155792, -1, 585257988, 147088212, -1, -1, 118277093, 163794576, 494758080, -1, 456588562, 889009014, 167453451, 113203608, 523327298, 65939491, -1, -1, -1, -1, 813876135, -1, 435215416, 804256985, 252413007, 828742553, -1, 887994335, 552905468, 88481307, -1, 697256233, 653699742, 319369220, 705824492, 37390881, -1, 158821745, -1, 434871631, 45196576, 315521373, -1, 92458896, 778645830, 587611453, 987202445, -1, -1, -1, -1, 447008305, 887187631, 931698561, -1, -1, 820647998, 466604615, 668173997, 520032566, 939885750, -1, 771040709, 42147093, 575200044, 838051589, 795172204, 125901850, 436675871, 701796929, -1, 306162353, -1, 936242162, 733066806, 508320269, 850693964, -1, 734808232, 358400668, 478798341, -1, 314265365, 530636681, -1, 561553962, -1, 898920813, 388401530, 965704437, 158190723, 608986352, 631928457, 601084763, 719856570, 880490213, -1, -1, 243411898, 378994029, 329318077, 993079580, 875639385, -1, 870598761, -1, 400287704, 209043436, -1, -1, 755188479, 694184935, 123548862, 191991681, 172182141, 764336950, 891741648, 945431217, 416316505, -1, 540613298, -1, -1, 471238054, 457536032, -1, -1, 451354571, 248496765, 978672465, 21564553, 631605636, 848351357, 92121573, 639970647, 45427441, 419456379, 799950032, 240081409, -1, 285845121, 471122528, 266115104, -1, 517700756, 340786991, 828245793, 125773972, -1, 165271493, -1, -1, 964114552, 847502588, 651048188, 909287080, 554390579, 179038141, 319813288, -1, 32902396, 884508555, -1, 848298985, 329703568, 29518398, 810212089, 341841496, 762406, 874752028, 528490395, 639460925, 577577688, 593842228, 694105973, 519190909, 362724039, 814389877, 470838829, 34034166, 479852135, 507352596, 230146463, 249696740, 284765583, 339000136, 378015353, 341463247, 466281773, 400532257, 253101333, 157290611, -1, -1, -1, 823095953, 803636344, 124223920, 127581282, 185445094, 521939119, 194091780, -1, 484925352, 751740443, 125080655, 915062812, 536477723, -1, 235508981, 154500857, -1, 175598890, 320266391, -1, -1, 914211106, 247538616, 170410349, 237772558, 674069970, 975962675, 371447213, 823728675, 986182120, 600038712, -1, -1, -1, 953025143, 117495845, 805775688, -1, 936601208, -1, -1, 599511714, 347817030, 506168629, 129972831, -1, 406371598, -1, 70355484, 397940321, -1, 975817191, 702900379, 198564124, 354026515, -1, 286382689, 444125726, 689585128, 101248436, 302118725, 111825030, -1, 529270394, -1, 209339724, 785461554, 393187513, -1, -1, 858766172, 284689706, 203310420, 662579610, 755916459, 658810012, 524658891, 347913921, 966675405, 681932175, 25746628, -1, -1, -1, 396748035, 859044129, -1, 991104902, -1, 896952179, 415049057, 335593384, 504533560, 910177993, 113613414, 64994456, -1, 14810114, 43523576, 319794615, -1, 99653072, 781767022, 168485125, -1, -1, 943843756, -1, 637270978, 568343554, 964977979, -1, 799244579, 351670590, 794961296, 274287051, -1, 871120096, -1, 365984930, -1, 498065525, 662044802, 138164107, 948832928, 447950260, 626307271, 463459251, 113895241, 377720293, 447633493, 741001738, 16033023, -1, 605228703, -1, 488178519, 436775136, 879201808, 636909036, 608979464, 784367210, 863485662, 191128383, 345815222, 721793273, -1, 586070351, 302507166, -1, 39442680, -1, -1, -1, 570809174, 169556577, 942567685, 162602495, 232797504, 247408680, -1, -1, 909325390, 453976893, -1, 956252985, 46775312, -1, 217403806, 82203777, 689973612, 471339216, 829967471, -1, 967958949, 634798567, -1, -1, -1, 950630453, 737109008, 667356534, 204025266, -1, 49996489, 739664638, 341544581, 525850991, 732061150, 938094798, 1791961, 623369922, 869409232, 988437506, -1, -1, 536088104, -1, 360670952, 345658519, -1, 47303418, -1, 351701981, 921070304, 396666417, -1, 164842801, 226995200, 390126573, 341630315, -1, -1, 766125404, 145825416, -1, 694435091, -1, -1, 505555681, 732399763, 70181168, 13866548, -1, -1, 926513490, -1, 238352065, 980653218, 184406574, 77018226, 194971865, 438909926, 813445877, 824977277, 565353433, 178974590, -1, 674513747, 233437868, 560713691, 438327081, -1, 339891192, 775187135, -1, 508163413, 562692423, 954899104, -1, 65141641, 787847328, 13543544, -1, -1, 560507111, 385331862, 968459408, 932316476, 112596387, 866130843, 890046639, 593370097, 312034063, -1, 172852742, 231723768, 802040087, -1, 135625537, -1, 437842051, 661468974, 796471765, 887596965, -1, 648007411, 808487192, 521031152, 554376592, 676562924, -1, -1, 783521393, 248258048, 125243461, 987233002, 748144531, 849883053, 752423704, 539331605, 849044935, 941172280, 955442887, 222335666, 571702589, 300043248, 190554394, -1, 803256357, 574933634, -1, 892110683, -1, -1, 830183555, 868916792, -1, -1, 62515755, 314052945, 816428210, -1, 462412031, 233521925, 924307341, 427769562, 423680364, 111505628, 52275807, -1, -1, -1, -1, 880570012, 438122533, -1, 255105182, 256454004, 715960630, 37660927, 96491051, -1, 988970152, -1, -1, -1, -1, 485213782, 675325633, 383157514, 136784715, -1, 602440493, 627089381, 632475936, -1, 906271074, 691142330, 24820875, 452997104, 380414015, 314104256, 956589356, 551376961, 255422656, 781146546, 428764704, 882678736, 753322650, -1, 232033420, -1, 764919824, -1, 956774368, 398424577, 767772689, 787999934, -1, -1, 741951628, -1, 315706719, 394646787, 825528423, 935595213, 361537850, -1, 663683609, 504236140, 39027616, -1, 865847964, 797915105, 421115035, 667483417, 392219108, 216674876, 103467745, 952427082, 832719112, 892326115, -1, -1, 834071487, 279633107, 529092817, 986182040, 482922756, 742018660, 98335991, 632799622, 167516238, -1, 753234811, 23681527, -1, -1, 514013026, -1, 879336519, 870968749, 298112911, 333393458, 813231864, 493321568, 61582266, 587465736, 566280527, 382483437, 847131570, -1, -1, -1, 966442725, 619483357, 849901889, -1, -1, 646449753, 243943082, 368142613, 878480209, -1, -1, 979256846, 953888461, 357806679, 416183281, 144273751, -1, 656493304, -1, -1, -1, 188439542, 9930992, 274040958, -1, -1, 780628102, 35571613, 376471020, 562140976, -1, 864845121, -1, 686147297, -1, 52983625, 978312908, 710093360, 733658745, 379665863, 154929564, 174686272, 74557868, 626837544, 273427907, 6945991, 282041793, 645025191, 348277420, 524756336, -1, 694738930, 695075725, -1, 518901592, 71640457, 83823528, 157094121, 457996692, 893805769, 145365591, -1, 266173408, -1, -1, -1, -1, 517557297, -1, 724347667, 606317716, 388941452, 560843396, -1, -1, 521773185, 193860774, 897256731, 604940978, -1, 653358836, 914099279, -1, -1, 391171447, 581034773, 834218304, 68569190, 145211204, 712193939, 155119954, 306749302, 358769292, 158654277, 763822051, 547220985, 137550986, 176306274, 104377185, -1, 948912543, 609170084, 488073715, 672587344, 877798609, 706398192, 286563973, 689767813, -1, 732457051, 581059583, 273268819, 232184017, 899666505, 255162472, 329481414, 186652098, 860446657, -1, 447263543, 887786391, 64810505, 673413286, 288639431, -1, 890315172, 7995562, 560216667, 465111381, 586655706, 865494416, 273064501, 125317010, 386689203, -1, 685731047, -1, 170716017, -1, 673209476, 915583781, -1, -1, 197474091, -1, -1, 218376212, 302469249, 282860603, -1, 900956022, 730012855, 736347328, 373708740, -1, 900776097, 161471567, 26187849, -1, -1, 73666722, 342452424, -1, 786564903, -1, 161483322, 309165043, 947781394, 505486181, -1, 357650841, 927675819, 241612475, 796162730, 943592711, -1, -1, -1, 985988809, 437131376, -1, 690511, 476971206, -1, 416900442, 661279165, 137747558, 303436602, -1, 151220699, 427800591, 967359432, 776069839, -1, 211416435, -1, 618815585, -1, 507728890, -1, 24608350, 370909787, 128665964, -1, -1, 83691903, 363668772, -1, 852802508, -1, 964996238, -1, 182145470, 186263482, 28491388, 426885979, 316825670, 451612459, 593915630, 693749750, 19661366, 729550427, 700494869, 959125066, 868196978, 392346158, 540182779, -1, -1, 505635358, 153155688, 627712510, -1, 196728412, 178346863, -1, -1, -1, 299265915, -1, 627327385, 318394536, 867849101, -1, 237977989, 727187629, -1, -1, 796368957, 598219950, -1, -1, 650262660, -1, 743315525, 335244228, 349231323, -1, 86944367, 102462515, -1, 770576575, 276260713, 262071455, -1, 891394653, 393006130, 930207251, -1, 228794409, 163470345, -1, 743499149, 15154130, 625366334, -1, 391275915, -1, 660028940, 124263315, -1, 519807573, 478850794, 572479339, -1, -1, 89973686, 978351830, -1, -1, -1, 701334152, 666937160, 512261328, 815398839, -1, -1, 345531913, -1, -1, 170584782, -1, 48467991, 756647240, 934612044, 644468447, 124487562, -1, 881655824, -1, -1, -1, 612274859, 413743216, 696131397, 776590728, 791369964, 356474763, 765651045, 998789926, 995572752, 791925853, 226872382, 661930879, 214693216, 289525637, 532465351, 917667554, 86394294, 749030465, 607348663, -1, -1, 487272434, -1, 455401885, 358347599, -1, 306065867, -1, 346535083, 981845044, -1, 911689669, 795265201, -1, 474684536, -1, 889564071, 975786473, -1, -1, 80380, 31330019, -1, 97610133, -1, 617971635, 106522837, 946495285, 938205078, 119822111, 960774462, 916513962, 152778217, -1, -1, -1, 574864918, 475863557, 385050953, -1, 659523470, 140646537, 955833748, 387312339, 246756996, 183476592, 419571748, 2476822, 272316903, 474812266, 546498456, 331988321, -1, -1, 50561535, 334371376, -1, 560673643, -1, 753038884, -1, -1, 795734681, 194992471, 197663037, 981880307, -1, 914268360, 160313434, 688534061, 835622291, 309269955, 714091600, -1, -1, 828707530, 803928628, 486087297, 806738596, 533998750, 176289274, 956365691, -1, 593700782, 852630990, 103158285, -1, -1, 42465462, 92373302, 644164467, 125273834, 927093368, 45005549, 620628000, 495453096, -1, 449060565, 122357456, 798748639, 967960058, -1, 287579089, 981952254, 52201039, 101026567, 231493924, -1, -1, 364302386, 121354130, 640825399, 171836680, 945817442, -1, 281059725, 929902803, -1, 427861575, 434417037, 54602447, 801304807, -1, -1, 567630102, 636339136, -1, -1, 297936140, 128572589, -1, -1, 66878365, 237842053, 36982945, -1, -1, -1, 80345970, -1, -1, 550823460, 227697591, 574565380, 160401683, -1, -1, 851001567, 622936345, 295968780, 180943635, 832510421, 451093442, 590862058, 772044327, 246114472, 502038628, 369662414, 764299161, 50687424, 194535244, 173968170, 485591566, 114003446, -1, 668833495, 865391151, -1, -1, 56171374, 162604196, -1, -1, -1, 344273105, 11250931, 991840041, 686476106, -1, 691379248, -1, 635955406, 499555520, 484611676, 650777020, -1, 742432812, 871018806, 174380896, 311461760, 497087630, 243985105, 289998698, 644318640, 614415621, 732493607, 211189454, 108737424, 970036290, -1, 884351131, 866948105, -1, 828885703, 454090055, -1, 630912454, 787632906, -1, 67400607, -1, 492960869, 290635168, 759584939, 549552227, 49800006, 800374163, 690750612, -1, 121363724, -1, -1, 875259819, 553297092, -1, 751350752, 665778863, 951452055, -1, 348558148, 870909062, -1, 668455785, 863421278, 138102712, 106306703, 220260320, -1, 843165859, -1, 981158007, 192587092, -1, 387641651, 746292667, -1, 700597616, 705047765, 786448521, 505586, 436292871, 751033405, -1, 765913818, 844088989, 485295659, -1, -1, 92089461, 790553610, -1, -1, 861438266, 499401507, 669857060, 618608668, 981358942, 544070240, -1, 909587129, -1, 231549255, 649764467, 634946499, 260136849, -1, -1, 957367748, 898831561, -1, 210889247, 690679315, -1, 253739080, 444103403, 695096705, 575137357, -1, 225465755, 984907053, 477884465, 819278819, 462998119, 166834107, 214367602, -1, 78772811, -1, 562444783, 175034608, -1, 320268666, 645074539, 156784009, -1, 807786667, -1, 39785258, 501385294, 128250734, -1, 659537883, -1, 37746892, -1, -1, 339478545, 985045329, 835871870, 549333067, 312527957, 409622935, 639901696, -1, 644752360, 549085970, 532290721, -1, -1, 871964078, 996207043, 846163715, -1, 772832563, 613096735, 435203737, 378192928, 347506833, -1, 303323503, -1, 392774219, -1, 784851242, -1, 445042911, -1, 516340040, 621128977, -1, 484403861, -1, 773276989, 5112849, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 969290450, -1, 924494427, 335721881, 37217213, 324492238, 640954074, 768496914, 984144737, -1, -1, 544582829, 611541219, 478548279, 935308694, -1, 344956079, 790647133, 727889321, 426077523, 797699951, 940355773, 139919875, -1, 880109902, 367619686, 852853465, 638825635, 769325734, 184105289, 528390156, 399565937, 787145027, 278215186, 155016555, -1, 511775059, 114997931, -1, -1, -1, 524307112, 500416880, -1, 777734941, 664074025, -1, -1, 43923745, 382237774, 550885685, -1, -1, 666779390, 818296937, 144941536, 450797870, 58927050, 735211975, 643508808, 527937192, 929344517, 111761184, 79449860, 568528184, -1, 382913398, 890986226, 216485030, -1, -1, 661126253, 419860009, 711368229, 784195165, -1, 780134010, -1, 483343493, -1, 188867382, 168637035, -1, 585728964, 6249062, 16227374, -1, 669095860, 719758135, 830263767, 250479601, 701247557, 680390290, 74470802, 122513627, 268146496, 333067893, 233386789, 774239662, 853012348, -1, 485353399, 428720068, 428724084, 226655290, 996184829, 518060552, 743744431, -1, -1, 313506274, 301521432, 269221220, 623848169, 874906202, 726116973, -1, 243874139, 418516596, -1, 885238514, 254481778, -1, -1, -1, 741682013, 588462955, 491841977, 83805899, -1, -1, 101470013, -1, 132143937, 826988024, 229037998, 588549781, 917484066, 771462165, 845457195, -1, -1, 143608951, -1, 644639714, 708264405, 724557572, -1, -1, -1, -1, 223466179, 656285082, 977904080, -1, -1, 987359701, 122780039, 874519441, -1, 631304016, -1, 918115313, -1, 310498966, 852410478, -1, -1, -1, 103923056, -1, -1, 843395495, -1, -1, 905061136, 204415560, 588107986, -1, -1, -1, -1, -1, 639674530, -1, 937984819, 936029163, 3299792, -1, 789886611, 451675799, 580801112, 143146242, 986026819, 772407159, -1, 160874676, 976126, -1, 315329203, 456831917, 259083542, 799591089, -1, 553880025, -1, -1, 375535234, 81141988, 735745762, -1, -1, 442501680, -1, 603645092, 39892925, -1, 506385787, -1, -1, 336446925, 589646332, 257515119, 520992445, 224620471, 607285188, 416843086, 13946669, 166637613, 398484161, 542249879, 586824163, -1, -1, -1, 167232279, 845779618, 326833366, 240403078, 173825069, 148094943, 339064904, 877791107, -1, 585590634, 439981649, 185708952, -1, 104630670, 225431317, 950842869, -1, -1, 686842330, 590637058, 587924300, 428667241, -1, 911622858, 375248695, 385054456, 581758286, 465544211, 750166118, 521656644, 557586740, 577141787, 631716930, 899085734, -1, 28701169, 174182626, 113740559, 128151112, 836280204, 282444490, 39203864, -1, 824220046, 908761534, 741308040, 587827148, 782861096, 90852414, 719483938, 495205511, 686625252, 652819758, 725135457, 459095783, 164685241, 42297701, -1, -1, 330998631, -1, 266806863, -1, -1, 318344667, -1, -1, 989910446, 364635758, 741628341, 653273840, 504850148, 354136560, 890311346, 3121600, 77466013, -1, 840926282, 240374718, 442020099, -1, 622250429, 490639633, 823220713, -1, 52031979, 695604715, 215554192, -1, 322533031, 187813291, 89190303, 46260810, -1, 60970969, 918192856, 328383368, 104419904, 726486545, 557209580, 705744094, 811493324, 437299645, -1, 9172061, 15505287, -1, 72821446, 698888723, 574865052, 708445490, -1, 140231149, 778717958, 519518991, 895627146, 858067689, -1, 527822391, 278338885, 281227562, 586341432, 464771335, 401379365, -1, 225460533, 82946860, 695238620, 948672643, 937971931, -1, 440345744, 854406845, 795191945, -1, 697881976, 195139168, 809456229, -1, 729937316, 777456385, 164643025, -1, -1, 766595375, 462665520, 53808307, 485562421, 413192254, 993980234, -1, -1, 921702767, 48000035, -1, 626414186, 203030666, -1, 742385536, 36466442, 794316908, -1, 559750169, 938324233, 955668628, 627128632, -1, 310702606, 906934303, 423172764, -1, 362246705, 738791376, -1, -1, -1, 441661038, -1, 732487700, -1, 751657086, 67891629, 606733491, 884689317, 351130828, 882511558, -1, -1, 793882379, 941128867, -1, -1, -1, 727766527, -1, -1, 93187909, 466944295, 503326920, 186945585, -1, -1, 965945210, 73966881, -1, 254377189, -1, -1, 830107180, 961930782, 34713131, 321680935, 29070615, 607325292, 581910416, 886772177, 597710588, 724208707, 174043747, -1, 814651118, 377291306, -1, 434565624, 337479720, 851843334, 120406129, 707450651, 551331275, 715673201, 776001097, -1, -1, 366791685, 537022437, 630199097, 687335751, 732520222, 675060868, 290359131, -1, 156030535, 920774179, 886539242, 218857879, 440930633, 144401961, 957440133, 546773144, 792386076, 616771501, -1, 275207581, 765730579, 329374275, 911804828, -1, -1, -1, 280983092, 155929729, 993547676, 469278547, -1, 822046055, 521404735, 184989649, 705445979, -1, 845129819, 316730656, -1, 853099507, 763469943, 124722642, -1, 920621230, 166095376, 580522359, -1, 664156810, -1, 705105691, -1, -1, -1, 976777899, -1, 264979187, 14426674, 612580288, -1, -1, 850896094, -1, 577410300, -1, 273425405, 175424577, 195727595, 37081816, 138533244, 970810417, 749367246, 398522301, 131744909, 448794701, 188054714, 989192533, 671433324, 744797965, 817492576, -1, 468499331, 493465610, 866116828, -1, 442306439, -1, 166082531, 207622916, 931713347, 125351446, 263006431, -1, 986766484, -1, -1, -1, 532382369, 585352924, 64031089, 444457024, 871469121, 449028174, 661109905, 613141353, 385645744, 484541023, 637721140, 262705087, -1, -1, 875935543, 875738191, -1, -1, 916770052, 365849690, 466551405, 879441454, 160139740, -1, -1, 942765380, -1, 605979149, 564473059, 114499390, -1, 965167922, 719657226, 100376835, -1, 473376303, -1, -1, 892300214, 122729049, -1, 61082716, 217192332, 214934726, -1, 647895296, -1, 337118149, 803921966, -1, 168609325, 452637737, 835146613, -1, 495442380, 319079401, 761188544, -1, 662816266, 661150314, -1, 975832048, 265596113, 438725201, -1, 922380934, 951732644, 91037629, -1, 154768828, -1, -1, -1, 673925813, 929693696, 596000525, 153063241, 802691608, -1, -1, 566530286, -1, 411591758, 636054568, 597741166, -1, 379951830, -1, 552465697, -1, 388736943, 486456639, -1, 325896255, -1, 63108709, 670566064, -1, 943127273, -1, 763910199, -1, 195229122, 323056709, 224583131, -1, 344283932, -1, 638396794, 430453431, 32119843, 904252044, 219359740, -1, -1, -1, -1, 362742491, -1, 578936831, -1, 433241877, 629544834, 16055635, 213588902, -1, 574045832, 430599228, -1, 930064262, -1, 557979107, 670961546, 772439853, 870746000, 514309568, -1, 167129221, -1, 384091420, 620164057, 277236439, 155932233, -1, 414727778, -1, 416940521, -1, 278648714, 161096980, -1, 73055737, 642823773, 381332497, -1, 418754199, 989645216, 978194121, 70989105, -1, 16298905, -1, 891322101, 654696977, -1, 393648601, 608735298, -1, 421192748, -1, 424739686, 808028586, -1, 129889429, 352591547, 844507406, -1, -1, 408725040, 500988774, -1, -1, 912626252, 15715925, 892317308, 860710128, 839719459, -1, 912870053, -1, -1, 736464433, 902366627, 771313228, 228407975, 799608506, 687858478, 861561207, -1, 207487471, 530727858, 328936622, 465161957, -1, 628304561, 255993098, -1, -1, 294003930, 748709909, 126504335, 897034330, 89650706, 362877696, 291566075, 558975848, -1, -1, 5251077, 837176201, 335008538, 811273908, 295722153, 773390039, -1, 501566755, -1, 957026510, 626836614, 540992422, 443687604, 55097892, 104498070, -1, 373695908, 583055490, 322627594, -1, -1, 445382698, 507651023, 96866140, 19257816, -1, 832665290, -1, 969445747, 895638203, 336438302, 114186267, 795675605, 77904234, 737671060, 788555187, 301572109, 211694750, 230748055, -1, -1, -1, -1, 723793810, 719449356, 508367242, 559258811, 377758091, 573000906, 581413433, -1, 925309535, -1, 218866954, -1, 526919535, -1, -1, 633289327, -1, 939574838, 329992260, 520293227, 837687506, 228756124, 723656943, -1, -1, 372041394, 541931058, 275621107, -1, -1, 767913114, -1, -1, -1, 836682422, 318617690, -1, 13258746, 159011148, -1, -1, 873894713, -1, 153245533, 764166153, 985569256, 489722283, -1, 14248741, 161716888, 477590144, -1, 525395094, 834479917, 729984243, 688860030, 18434404, 437870914, 960615348, -1, 477961624, 973851240, 162905838, -1, 682787179, 945342772, -1, 254239540, 272817394, 668411608, 724475967, 195359823, 237384854, 941747816, 559430765, 223043695, -1, -1, -1, 356206278, 897604615, 209843265, 97915857, -1, 27275271, -1, -1, 38115602, 847606442, -1, -1, 151889364, -1, -1, 979907161, 416975359, -1, 870302499, 241433073, 106911228, 232526842, 427891443, 138327728, 148042436, -1, 846945784, 732365607, -1, -1, 946922751, 951376410, -1, 990809694, 566097368, 577700136, -1, 858018772, 876767646, 186931664, 523582194, -1, 134156835, 540931353, 159550305, 218406736, 847551589, 628131358, 288174161, 245368978, -1, 298473218, -1, 371683815, 80181949, 1614780, 31239184, 567787356, -1, 73447751, 217134842, 894750258, 877570986, -1, 226154574, 488929542, 937458496, 30483882, 227508977, 106569748, 518567315, -1, 173113860, 303711918, 52037149, 275484030, 749401532, 711295557, 436292885, 536284461, -1, 87403585, 594158135, -1, 177288224, 775327783, 232560791, 830501350, 247950127, 49883790, 771588693, 699909053, 782473675, 148342167, 944108526, -1, 575843985, -1, 993257180, -1, 343080171, 245324213, 806679022, 645681435, -1, 599839462, -1, 5028728, 384565743, -1, 57136891, -1, 957971755, -1, -1, 398147472, 973624436, -1, 475539035, 383156913, 314942992, 95765343, 521257872, 573927744, -1, 506227415, 481595283, 485523324, 916620833, 603445786, -1, 546008674, 950129624, 949912015, 217913468, -1, 823283868, 141211293, 785115952, 253074902, 942440728, 669193563, -1, 55657285, 254728186, 342055951, 710841386, 798102370, 678716747, 648600465, 441859316, 135968104, 474514350, -1, -1, 636219968, 822494910, -1, -1, 351555776, -1, 347016109, 604593387, -1, 786455894, 301731522, 856822266, -1, 798103593, -1, 152333739, 861261501, 585398805, 897090632, 397556217, -1, -1, -1, 581446230, 576493525, -1, 396665932, -1, 706195807, 785972581, 827933420, 804969078, -1, -1, 247327099, 295476772, 270683056, 695907141, 630863844, -1, -1, 899451786, -1, 654728871, 407229209, 285167551, 1961017, 559568055, 754414823, 192168929, 19827712, 910820121, -1, 651570649, 154883017, 877975870, 455084740, -1, -1, 421075799, 776789451, 354177488, 624110070, 592787742, 978332873, 562534952, 97532841, -1, -1, -1, 232125221, 576558343, 604198436, 474727723, -1, 861107913, 228351889, 337479256, 685850373, 756910822, 967561140, 267847925, -1, -1, -1, -1, 961797336, 653354891, 467811809, 724796893, 70337966, -1, 371262847, -1, -1, 819180502, -1, -1, -1, 593081386, 221739877, 555784447, 710859942, 306283504, 73152218, 48385134, 317864451, 436666067, 208643325, 737350762, 126437048, -1, -1, 953528249, 151952703, -1, 418540297, 86496253, 14193858, 223899971, 639487235, -1, -1, -1, 216654728, 34498424, 85655904, 780858152, -1, -1, 142163828, -1, 18618457, 477027384, -1, 513686684, 906924444, 539187338, -1, -1, 366961415, -1, 2207746, 656372483, 716644563, -1, 473762596, -1, 291829803, 11828655, 899766550, 120822801, 602830759, -1, 58562445, 877490500, -1, -1, 609944954, 831954196, 59095181, 397254090, -1, -1, -1, 389456800, -1, 137188461, 42423253, -1, 579653268, -1, 589016936, 52108254, 750310970, 705580280, -1, -1, -1, -1, 819373946, -1, -1, 144846448, 675048682, 36902185, 353636886, -1, -1, 392489342, 196503678, -1, 50145479, 490411120, -1, -1, 255069367, -1, 403236586, 989049396, 327958869, 65415651, -1, 945682386, 791011979, -1, 131745000, 690882015, -1, -1, 93619964, 899302451, 425734325, 673622492, 513876064, -1, -1, 995106587, 360209141, 929000835, -1, -1, 265979103, -1, 669609809, 611438122, 200497723, -1, 616281628, -1, 361449914, 999240503, -1, 553109769, 115391696, 969862544, 965846107, -1, 985994410, -1, 700170331, 956715284, -1, 387835269, 564073927, 483326481, 485768718, 280731277, -1, 462201341, 351199776, 954166062, 380515454, 985148503, -1, -1, 797447775, 473560362, -1, 438574533, -1, 103246364, -1, 870258129, -1, 571077937, 154412897, 831452639, 60367469, -1, 968070096, -1, -1, -1, 321383133, 812833018, 832898457, 419397979, -1, -1, -1, -1, 90729775, 300859025, 149547442, -1, -1, 60875492, 877789064, 603823701, 100957041, 468009631, 648810495, -1, 971096119, 512065529, 275812010, 404166031, 594805365, -1, 148789674, 790218716, 760191331, 147051210, -1, 498349671, 868696052, 600068683, 585131470, 298166903, 348602596, 400050102, -1, -1, -1, 763030570, 728220716, 517245592, 126555415, -1, 221388256, -1, 378181444, 513000952, 134405356, 832354132, 586712906, 711940286, -1, 914464967, -1, 261933534, 68303670, 530641096, -1, 3077023, -1, 177775313, 634434169, 534883192, -1, 605284516, 104722384, 175271206, -1, 799578747, 605166272, 84439809, 554596343, -1, 535452629, 990788570, -1, 514836270, 861429890, 998371273, 937359682, -1, -1, 847327638, 475719003, 672500591, 477465654, 559316865, 24138354, 933476896, -1, -1, -1, -1, 394576657, -1, -1, 132769639, 914189664, 940712805, 449314646, 815887194, 934878826, -1, 566855263, 52398497, 737289323, 984954517, -1, -1, 534163208, 341963857, 523408454, 364098984, 357434253, 401035079, 958553184, 143705643, 194663051, -1, 573949601, 270334411, 395024173, 607381361, -1, -1, 181729043, -1, -1, -1, 950958318, 381595254, 330957708, 396654344, -1, 174205229, 584300713, 824340527, 251394029, 856219935, -1, 14380911, -1, 561106941, -1, 398999325, 373418019, 457455666, 382501799, 889128206, -1, 610198087, 580386542, 680029472, 654959334, 564463303, 984175772, 177134659, -1, 171075189, 254417759, -1, -1, 756948198, -1, 338730192, 6437294, -1, 345600456, 158895202, 408942358, 505779932, 790942711, 245243568, 538834682, -1, 674080790, -1, 830435274, 796958576, -1, 710189925, 416371211, 156973444, 641649976, -1, 231806842, -1, 503510183, -1, 572848935, 646606093, 55127303, 390396901, -1, 304196065, -1, 163847164, -1, -1, 998562835, -1, 723388467, 767941069, 881244251, 457989447, 905342035, 579484783, 737573666, 544936434, 212474802, 503734734, -1, 68734127, -1, 141732055, -1, -1, -1, 36795280, 567399067, 951492314, 455580130, 21058701, -1, 345765591, 641894866, 707913404, 375564187, -1, 47579750, 501196343, -1, 389712618, 768598171, 909245052, 586727246, 456989628, 500251743, -1, -1, 633788818, -1, -1, 958586715, -1, -1, -1, 48293527, 522006701, -1, 492545773, -1, 552473034, 421615469, 809139925, 228356011, 847298204, 868630051, -1, -1, 466363167, 660789276, -1, -1, 196359752, 209648359, 448561737, 520781909, -1, 642268945, 502291983, 205228694, 581917925, 810367548, 426436877, 239579338, 81582827, 332778471, -1, 915648577, 19886357, -1, -1, 353155893, 263938205, 513278838, -1, -1, 451778546, 871765852, 31895442, 602392583, 39297258, 247431511, 468685084, 658810993, -1, -1, 526588737, 708587000, 723855124, 271099725, -1, 140025556, 653739002, -1, -1, 749869328, 373656016, -1, 216969568, -1, -1, 625343036, 772064183, -1, 225352569, 646455386, 534829305, 333400355, 851365401, -1, -1, -1, -1, 436351446, 505764337, 556364293, -1, 444980917, 179599059, 281027767, 811164293, -1, 426050513, 762346520, -1, 625603263, 84857919, 867301583, 494925681, 199833692, 884538144, 844001800, 228831446, 841685779, 346899114, 358248012, 354157622, 605625160, 373507607, 851683199, 672035362, 745765500, -1, 362318645, -1, 274107438, 866116063, 435334231, 482257376, -1, -1, 550662176, 64783800, 155933245, 894457218, -1, -1, 698696973, 518479649, -1, 262330166, 316066786, 86451814, 135132099, 247456021, 306856911, 832675989, -1, 701285022, 42346438, -1, 663024299, 264128269, 917418346, 434085843, 944186081, 286812101, 840099643, 597229394, 563244065, 217989949, 736028981, 195177862, 441006538, 452602618, -1, 280129905, 506021101, -1, 288652192, 999837129, 321840410, 907184953, -1, -1, 151000254, -1, 189731191, 417398076, -1, 509982531, 309011375, 934639660, 971018691, -1, -1, 800981416, -1, 349695272, -1, -1, -1, 167173700, 963221988, 370263260, -1, -1, -1, 298241308, 46993163, 762131243, 260677963, 416261262, 477387952, 967760837, -1, -1, -1, 94017365, 591358932, -1, 582375491, 65155097, 810307837, -1, -1, -1, 484877739, -1, -1, -1, -1, 766002638, -1, 494403980, 191804275, 465377826, -1, 484359999, 636966298, -1, -1, -1, 572600397, 215657614, 259737934, 989752517, 725797682, -1, 143200544, 109204242, 191430422, 532829687, -1, -1, -1, -1, -1, -1, 526525154, 798656474, 625572561, -1, -1, 50349590, 415983365, 43351078, 996171964, 410627842, 192291032, -1, -1, 983947699, 182185666, 147172232, -1, -1, 500533016, 810721726, 916871404, 480467371, 699715773, 415657307, 327104238, 615469359, 101277876, -1, -1, -1, 261960947, -1, 287952580, 701222033, 140518942, 396089213, 876206830, 697745101, 578005486, -1, 97108946, 715454276, 104390934, 215100609, 103094761, 192781708, 740918665, 345546375, 784319559, 430149130, 996164459, -1, -1, -1, -1, -1, 870458357, 233842754, -1, 450473131, -1, 433596013, 985749680, -1, -1, 325950559, -1, 95849053, 123707742, 200876082, 584105591, 121371576, 620157142, 121634653, 59029428, 318283726, 625870454, 657617730, -1, 13009050, 314702475, -1, -1, -1, -1, -1, 776595387, 583054410, 408848687, 259280533, 199058697, 423153396, 829215327, 841395950, -1, 509629863, 831169096, 319359010, 828220767, -1, -1, 903899684, 835357210, 171929872, -1, 309667713, 920090648, 695813444, 255475533, 767025716, -1, 484686339, -1, 923528812, -1, -1, -1, 90772033, 481050558, 466637642, 589674050, 598972808, 660598532, 99041311, 914535681, 554555983, -1, -1, 72011308, 868049756, 67515452, 545297651, -1, -1, 102546899, 877933335, 810607419, 20680734, 323325353, -1, -1, 163041024, 192884986, 858167223, 696647359, 475279008, 637010664, 676691805, 12019995, 150791818, 897912087, -1, 838015807, 230309353, 263958179, 678800273, 888528287, 702885115, -1, -1, 827984151, 778343820, 328789560, 354945179, 784040295, 880727128, 367989204, 550591952, 401176421, 387059350, 577583177, 115584953, 957236637, -1, -1, 829481052, 796555410, 148946028, 587940769, -1, 783878381, 925795820, 662337445, 401298438, -1, 910458957, -1, -1, 724598460, -1, -1, -1, -1, -1, -1, -1, 199630373, 377457567, 981518255, -1, 999190568, -1, 446708867, 311518851, 406053203, 948404690, 30925296, -1, -1, -1, 849602756, -1, 667787022, 34375274, -1, -1, -1, -1, 411590279, -1, -1, -1, -1, 908469084, 548187514, 513456819, 788650801, 849259056, 327456471, 270279221, 472355179, 861429321, 563854148, -1, -1, 72642277, 928087084, 867851280, 284945208, 422298119, 731929793, 43464985, 745151366, -1, 351182327, -1, 146202941, 25974603, 921403701, 561733440, 897828703, -1, 613768312, 189619239, 316028608, 254779137, -1, 288368383, 115270040, -1, -1, 663995884, -1, 528971391, -1, 294051568, 80076272, -1, 483471793, 950320458, -1, 93117926, -1, 470787464, 832903490, 241922267, -1, 46577749, 550831530, 678357009, 726273040, 717818647, -1, 338518254, 229490737, 615683324, -1, 309468298, -1, 587374888, 541526173, -1, 1944700, 666871222, -1, -1, -1, 653799831, -1, -1, 771699241, 929930508, 785966133, -1, 760404984, 776851877, 454286398, -1, 273759092, -1, -1, 151552066, 125119400, 983392356, 305664056, -1, 783715515, 23590021, 379578781, 840699795, 848317165, 582654135, 428527709, 875847717, -1, -1, -1, 580900496, 529699177, -1, 402257521, 174469512, 212790948, 65767724, 153195490, 302356512, 361002031, -1, 912183390, 765770490, 271052169, 826948293, 434585798, 17512607, -1, 573606181, 580601980, 413103296, 914865897, 896900503, 566445128, -1, -1, 664587976, 710439415, 538287720, 519655363, 599196819, 124622913, -1, 653198727, 937315633, 378439652, 572086856, 777873650, 953769829, 204656868, -1, 318539253, 634120040, -1, 853319915, -1, -1, 77516734, -1, -1, -1, 526319403, 118449102, -1, 242161692, 921513837, 663325857, 898618819, -1, 868175121, 207505273, -1, -1, -1, 234242693, 991862317, 548112503, -1, 823244981, -1, -1, -1, 934925278, 117773204, -1, 54136918, -1, -1, -1, -1, 66089272, 357779418, 274424919, 153224298, 452425213, 119694172, 169708750, 982349498, 97329593, -1, 155130370, 429859982, 436676941, -1, 8219018, 809293218, 286414209, -1, 360148729, 547550143, -1, 558013698, -1, -1, 456953248, -1, -1, -1, 39039297, 309404350, 632594164, -1, -1, 112302192, -1, 897541251, 542183324, 869745763, -1, 656237912, 178790306, -1, 342735045, 731290798, 434202312, 661246272, 274390762, 447186726, 221447386, -1, 466556896, 432925733, 307576644, 995268245, 744179699, 30113890, -1, -1, 322207162, -1, -1, 465445034, 233069398, 935219909, 955076027, -1, 543299363, -1, 295810653, -1, -1, 864389167, -1, 261355247, 259044575, -1, 337623136, -1, 868967809, 843011770, 998304484, 961322896, 145695702, -1, -1, 643502761, 291583265, -1, 198070162, 896178547, 806111436, 118043685, 521442325, 104967300, 892652709, 43076483, -1, -1, 225297837, 948428968, -1, 622127285, 390435716, 814412689, 341362818, 43796880, 109462886, -1, -1, 700532368, 564220496, -1, 519120264, -1, 185510736, 869476977, 327387112, 711210251, 839334796, 869956065, 937926500, -1, 927637510, 221155494, -1, 216687835, -1, -1, 228157447, 558599435, 363843548, 193220308, -1, -1, 426399092, 749849179, 85105244, 336584988, -1, 735281711, -1, 765362834, 405743131, 900135829, 129594467, 62177429, 13224731, 602401516, 383391751, 157080987, -1, 499096916, 620838970, 346473360, 169828804, 123609201, -1, 980499060, 969182768, 435537756, -1, -1, 3419582, 853235965, 387656013, 949219664, 780543565, -1, 953513803, -1, 714863258, 733977459, -1, -1, 686565006, -1, -1, 740640062, 684481274, 255181158, 1626765, -1, 947269419, 929937437, 192140754, 375907069, 790050149, -1, -1, -1, 933505208, 875490140, 921398022, -1, 348858366, -1, -1, -1, -1, 393833433, -1, -1, -1, 278108726, -1, -1, 195346502, 274252418, 946269632, 767130082, 437648531, 339112628, 81932660, 580316429, -1, 561198313, -1, -1, 488009194, 74592961, 302113299, 924494757, 904188190, 226569834, -1, 887506470, 75333955, 2124555, 988176290, 841746453, 696649052, -1, 535877270, 647145281, -1, 288594224, -1, -1, 293192277, -1, -1, -1, 658682634, 113240864, -1, 227530828, -1, 57940745, -1, 302179768, 706492841, 626107857, 357106546, 728301227, -1, 537107114, -1, 915176453, 994186339, -1, 575236720, -1, -1, -1, -1, -1, 582313220, 325359774, 695441637, -1, 43153497, -1, 806799595, 286933232, -1, 264280048, 759329264, -1, -1, 319135621, 260288598, 676134782, 576299030, 807090401, -1, 675761053, 472181960, -1, 418992415, 926954596, 648334608, 725249125, -1, 198318469, 841199681, 197908078, 400710429, 794102350, 629897184, 216614068, -1, 453945600, 68158350, -1, 207653221, 330041052, -1, 9874214, -1, 863005722, 73657439, 142006863, 72336394, 68222576, -1, 920243368, 684532364, 640408144, -1, -1, 38607183, -1, 309131690, -1, 474066900, -1, -1, -1, 2001526, 915900032, 573193811, 576403300, 711267740, 190535903, 845494679, 406107268, 587636559, 8632045, 206552595, -1, -1, 984483114, 686121965, 801427384, -1, 806095573, 688917894, 626147478, -1, 866957998, 688778309, 796188166, 57220344, 339227340, 150827211, 782004351, 765393061, -1, -1, 432481270, -1, -1, 342532816, 256672866, 108872829, 273504566, -1, 56396020, 585706194, 896349045, 434147924, -1, 314860184, 706145904, 583792031, 132209422, -1, -1, -1, 443889534, -1, 336148259, -1, -1, 486160944, -1, 860572196, 582821121, 188869197, 451793503, 103294633, 796129101, -1, 556045725, 489758648, 980980517, -1, 758709063, 296256683, 290434598, 863267259, 881358226, 949210177, -1, 73297090, 980665628, 217440969, -1, 561877933, 137690815, 750277969, 79568134, 156475149, 233565346, 243896029, 578697280, 134127916, 146910984, 381837183, -1, 227177208, -1, 770089840, 894702999, -1, 605253771, 862250388, -1, 147770131, 58635894, 748886886, 515564601, -1, 514703451, 388237816, 674470868, 229298960, 877293964, -1, 832421307, 458205174, -1, -1, 434961402, 100768700, 795195153, -1, 564442725, -1, 855352742, -1, 915576792, 795739271, -1, 654490633, 29598102, 864450641, 769621111, -1, 345096926, -1, 730321807, 609589267, -1, 873549335, -1, 794069404, -1, 743502891, -1, 629339907, 649833485, 264605742, -1, -1, -1, 221159425, 299388315, -1, -1, 297974755, 526987052, -1, 749194509, -1, -1, 574532688, 258032484, -1, 966395603, 88922295, 30728593, 799123578, -1, 933450989, -1, 771969517, 365712381, 897241649, 47730390, 800993267, 506353327, 839479794, 748326825, 667652544, -1, -1, 253377635, 274988263, 534521650, 899055536, -1, -1, 107083401, 254523660, 656923518, 607117231, -1, 112835649, 534331545, 872585376, 591835610, 541947178, -1, -1, -1, 749759797, 843597889, 672418996, -1, 835859763, 670044541, 848474024, -1, -1, -1, 45478861, -1, 143094737, 535515951, 804747680, 606338505, -1, -1, 571305059, 929165383, -1, -1, 231686693, 993621603, 979110137, -1, -1, -1, -1, 489105411, 25228816, -1, -1, 244605640, -1, 596937690, 840057258, 140171591, 470296864, 956261851, 148966395, 59026436, 521862813, 832273465, 335651955, 762969275, 11239601, 718218470, 834735938, -1, 225367712, 602399507, 256363828, 258032992, 62459401, 599811289, 838039746, 783513661, 515583736, 139785953, 882097349, 534851139, 605808703, -1, 734974510, -1, 567352933, -1, -1, 667529467, -1, 659351398, 196728864, 600882490, 15119112, 218638329, -1, -1, -1, 704259146, 964639835, 166761955, 50195283, -1, 7839207, 393286035, 808061908, -1, 998913720, -1, -1, 301667758, 773594467, 37568957, 421560810, 79712746, 242969174, -1, -1, 585256447, 105725420, 661872709, 605755133, 593870195, 508660386, 366564898, 268707566, 986060097, 262682364, 678086931, 974006364, -1, 867202754, -1, 748891329, 439894529, -1, 513047652, 512201758, 947014003, 368559405, 212186367, 559668206, 231802604, 619530168, -1, 418067400, 86481497, -1, 976373014, -1, -1, 23637354, 985210269, -1, 638988171, 94607779, 738168241, -1, 912392771, -1, 496851486, 215192471, 880641670, -1, 768210549, 290318209, 788990257, 321195488, -1, -1, -1, 86067780, -1, 281955653, 383364074, 272295580, 157788931, 907856232, 144219204, 188081428, -1, 164612474, 73493213, 248822006, -1, 675555559, 360995544, -1, 895314071, -1, -1, -1, -1, 274124551, 926767667, 92808602, -1, -1, -1, -1, -1, 447714581, 169477013, 277744133, 223103566, 610129183, 230464692, -1, -1, -1, 132933647, 847256478, -1, 931328105, 404084528, -1, -1, -1, 362129768, -1, -1, -1, -1, 958595313, 864445644, -1, 529398116, 222908336, -1, 234312759, -1, 957821921, 351228120, -1, 557059105, -1, 167313085, 156609111, -1, 995343632, 602291912, -1, 435325943, 677731232, -1, -1, 384239516, 592815856, 772367762, 850137328, 243618955, 808112510, -1, 655131622, 210285414, -1, -1, 225675480, 90835731, 508641685, 385726987, -1, -1, 206818958, 845673275, 231616207, 649530274, 864074922, -1, 390882128, -1, 175347951, 482539175, -1, 576070841, 282493279, 821723655, 903769368, 317087015, -1, 323538322, 857203595, 416947093, -1, 483925237, 237337240, 164181936, -1, -1, 904071781, 8302121, -1, -1, 958653566, 573461982, -1, 22376057, 212493576, -1, 25331639, 461557291, -1, 159263291, 761813953, -1, 933744731, 406893454, 757925900, 278368199, 104695650, 524671173, -1, -1, -1, 905094963, -1, 360479902, 192492610, 913885253, -1, 515418219, 659919394, -1, 416133619, 378476177, 796173912, -1, 201531075, -1, 71924720, -1, 58863638, 293726896, 230111674, 497202763, 659413868, -1, 853739736, 891236509, 754204643, 156422965, -1, -1, 343075202, -1, 571616692, 344665582, 510192924, 618298435, 163406564, -1, 618301073, 791682676, 232601252, -1, -1, 181954915, 798536093, 814536577, -1, 745804382, -1, -1, -1, 389870070, 294347519, 828528394, 210371042, -1, 921099438, -1, -1, 375886874, 164112662, 418341586, 667879713, 754738388, 1517879, 349169336, -1, 653969968, 707085334, 306737527, 368733912, 124071397, 321058202, -1, -1, 577557843, -1, 333177763, -1, 754109729, -1, 638927970, 909141790, 224851807, 634475437, 960386106, 674734684, 602322200, -1, 439682122, 14633224, -1, -1, 941703241, 752915352, -1, -1, 573323689, -1, 901600428, 874910474, 699704568, 899830842, 856065340, -1, 1603582, 377775953, -1, 432224296, 154619424, -1, 937876656, 118939666, 434548458, 930833838, -1, -1, 262723330, -1, -1, 548369393, -1, 217707256, 847204216, -1, 76142435, 792482113, -1, -1, 6737662, 243617915, 774283397, 827833782, 38711761, 944239952, 957805541, 596428521, 86030091, 314267339, 916259878, 459324831, 145930308, 668603355, 158434070, 928090529, -1, 508854874, 831210702, 496461504, 8472276, -1, 96757937, 381747889, -1, -1, -1, 693716456, 844548152, 854035032, 899834010, 14847350, 814295784, -1, 325356661, 496210010, 34471136, 47220237, 768640073, 648876634, 681335249, 788132938, 96863002, 161629696, 163826512, 147434395, 457197508, -1, 996814783, 336942987, -1, -1, 548926406, 145130413, 538092025, -1, 197382660, 825510933, 833132724, 78227612, -1, -1, -1, 519659666, 157929036, -1, -1, 516008289, 711917382, 120378009, 486070883, -1, 197202102, 800600829, 609429508, 862136299, 830637512, 164739433, -1, 41692842, 86735731, 843953714, 573857347, 710414982, -1, 978348387, 974474828, 834383170, 516272682, 993254666, 532569322, 563955317, -1, -1, 860350170, -1, 877283009, -1, -1, 110197318, -1, 149680011, -1, -1, 296774006, -1, 18736404, 922406744, 143860579, 355254902, -1, 225948267, -1, -1, 943287249, 501395049, 183378576, 258815067, -1, -1, 259610552, 798208864, 415598792, -1, 422782854, -1, 202055902, 421715740, 647468233, 86203122, -1, 873793120, 996770063, 402332962, 210829650, 497087691, 42731304, 255774119, -1, -1, 779661406, -1, 380423387, 533816649, 422943983, 462912682, 870741242, 408331124, -1, -1, 559633283, 597719027, 271932818, -1, 778014040, -1, 950791257, 450885120, 132141654, 931490802, 735322250, 471228106, 832136734, 381695025, 445014795, 735364308, 726571357, 318608622, 852975704, -1, 324960260, 865237561, -1, 2681265, -1, -1, 165365920, 197847621, 195819908, 863206985, -1, 203317866, 95408458, -1, -1, 479056773, -1, 711408896, 369902823, 573437998, 817295162, 243283708, 575370666, 711839447, -1, -1, 943747742, -1, 543359784, 262494233, -1, 677550105, 633119039, 664065304, 16461004, 525932132, 196817680, 864347130, 263769676, 305370579, 314201730, -1, 843472974, 984454198, 688989209, 914818837, -1, 774432030, 540118136, 66241644, -1, 479334526, -1, -1, -1, -1, -1, -1, 156478127, 275276202, -1, 415825035, -1, -1, 516737711, 534534138, 228914203, 750814797, 153139850, -1, 63988607, -1, -1, 946340650, 750669189, -1, -1, 530744371, 511433444, -1, 836985184, -1, -1, 149747854, 436187626, 145167451, 24422313, 713898430, -1, 427951772, 477599372, 573521724, 838579085, 667692125, 250177765, 234525799, 731892038, 46570010, 417763620, -1, 825621963, 381724147, 371434561, 835262479, -1, 69175405, -1, -1, 910926432, 797592541, 51455186, 414130514, 925756314, 200572913, -1, 489138816, -1, -1, 668378312, 964711191, 609642108, 447340752, 234957776, -1, -1, 534830846, 493022297, 306256650, 106276351, 36093141, -1, 713916487, 374020199, -1, 462668278, -1, 649464567, 436748149, -1, 358629490, 528885870, 635623322, -1, 995016250, 553380175, 214042117, 548886383, 284326879, -1, -1, -1, 980121168, 190627083, 880797473, 916256838, 609776101, -1, 898580882, 826401141, 640792262, 885915388, 878181956, -1, -1, 711385555, 627792840, -1, 404881128, -1, 585975048, 207607443, 999566556, 512307348, 748621772, 782171541, 367901356, 81298734, 13296792, 84350868, 271074697, 311298379, -1, 558119488, 552879082, -1, 622823659, -1, -1, 727194373, -1, 331212129, 855848378, -1, 844257703, 597865006, -1, -1, 818633181, -1, 133128366, 93749617, 551983648, -1, 221556000, 817289196, 304669551, -1, 668263999, 390916357, 775169964, -1, 935926167, 564024751, 250624448, 551453123, 131111978, -1, 346431253, -1, 122216032, 500948527, -1, -1, 342923422, 675301753, -1, 248523381, 429932456, -1, 84487964, 344362754, 839552943, 311955052, -1, 835678910, -1, 451806237, 933834105, -1, 890648270, 398218495, 336033863, 661381253, 112313736, 97113076, 594136292, 789347250, 695748669, 407910031, -1, -1, 903037366, -1, 951604730, 260670145, 151600867, 889014197, 461861817, 123604691, 853224277, 288630271, 33881161, -1, 536585101, 614470057, 370835298, 456312257, 842715399, 824709296, 109716024, -1, 440800235, 766340537, 200119713, 214974916, -1, 772833134, 966279732, -1, -1, -1, -1, -1, 627555704, -1, 98278231, -1, 998708101, 771032097, 132306562, -1, 860122584, 727601619, 690417567, 371504996, -1, 145404819, 515297493, -1, 906814280, 288205647, 471406213, -1, 870460673, 699987600, 878469490, 4099143, 2510235, 827053686, 688493755, 251175023, 127660971, 704000028, 70985244, -1, 788154179, 569304546, 604385959, 878240623, 777813541, 335811366, -1, 466768618, 81266650, 653280820, 474200106, 227733148, 799471283, 115982581, -1, 688443565, -1, 949900454, 76665457, 191255846, -1, 807981463, 738412185, 747518642, 805593114, 18928919, 167282938, 731129456, -1, 579566053, -1, 761459148, 191835344, 535641520, 888336469, 933081163, 815569268, -1, 427603140, 52516843, 832149853, 286753267, -1, 807967876, 348306602, 991912279, 8622846, -1, 856729655, -1, 952095010, 694124958, 208857507, 359738041, 51922906, 53569922, -1, 271193601, 788365051, 670740139, 809368096, -1, 47967111, 546903621, 921944430, -1, 537504640, -1, -1, 637445247, 361125384, 834497474, -1, 440893467, 264715932, -1, -1, 391124110, -1, 282588148, -1, 128230913, 385429965, 276182530, -1, 13313752, -1, 888463991, 515584, 899222939, 274651428, 21618620, 564161018, -1, 542162891, 243133361, 354723541, 4028943, -1, 126532807, 9814161, 460008503, 888677142, 283348738, 32049223, -1, 739837370, -1, 573382180, 749518996, 703506557, 503947614, 872995512, -1, -1, 177088237, 909952675, -1, -1, -1, -1, 932651298, 368510783, 123517462, 880254210, 655221316, -1, -1, -1, 75627998, 536195530, 743416402, -1, 182747872, -1, 180405982, 736248278, 4758505, 530943431, 560448133, 380062882, -1, -1, 914325771, -1, 164610817, 707115945, 350817706, 499152470, 45628206, 592380137, -1, 264016900, 438100803, -1, 489860210, 808966584, 77959680, -1, 591733774, 337940292, 414594033, 591085450, 812841724, 928249937, -1, 579327980, 130742727, 722321596, -1, -1, -1, 398150496, 278644078, -1, 294908845, -1, 933380394, -1, 765900866, -1, 979182398, 789086382, 329261544, -1, 450771238, 292163516, -1, 443451056, -1, 864739240, 416954800, 109018185, 874330738, 658886528, 564494819, 645447598, 715932312, 194863158, 912422951, 609027518, 699072945, 306101945, -1, 242347821, 311037073, 277116657, 616907292, -1, -1, 488114557, 104358731, 207370260, 325116171, 386155614, -1, 952362919, 366538159, 24285742, 894711218, 624810114, 684926489, -1, -1, 307570569, 913427258, -1, 34661697, 849577851, 337398382, 110739439, 442293850, 951050564, 277684187, 981589097, -1, 906887362, -1, 178564389, 402971698, 413831731, -1, 735847823, 821122098, 808276314, 747429706, -1, -1, 703730660, 481689660, -1, 998013224, 155728807, -1, -1, 349061349, -1, -1, 764299918, -1, 93979533, -1, 175601612, 500634090, 629011692, -1, 863421545, 414630682, -1, 751676103, 395919585, 727055296, 154806475, 188712342, 687057550, -1, -1, 540938306, -1, -1, -1, 345480312, -1, -1, 111378329, 170390773, 953219371, -1, 608672605, 660596222, 181352068, 935670005, 755067335, 590010845, 200389547, 155374824, 425648610, 117717631, -1, 420486015, -1, 733813231, 109605462, 899740076, 429420565, -1, 168167726, 343424889, -1, 434535860, 640142947, 423042375, 671408307, 653860099, 320622220, 324154522, 552569828, 221858932, 35959274, -1, 514660178, -1, 120262694, -1, 810398812, 193793351, -1, 173257526, 496108603, -1, 712476400, 924159617, -1, 163316660, 877221207, 121088038, 19711836, 638289660, 780268186, 645776996, -1, 250026477, -1, 243344308, -1, -1, 157775435, 358803348, 765903067, 309551004, 331752855, 668254161, 739159988, -1, 545789254, 395930120, -1, 626075503, 129984335, -1, 65100146, 609782279, 74911216, 376562308, 809818201, -1, 203413554, 120441223, 576805366, -1, 202039997, 556828374, 338321956, -1, 309671008, 276713169, 483456040, -1, 298976495, -1, -1, -1, -1, 429977366, 646835077, -1, 705604715, 987952323, -1, 513451562, -1, 959935730, 434435397, 887600089, 531405503, -1, -1, -1, -1, 634010133, 460855525, 299310495, -1, 233642259, 661388132, 140508716, 96987745, 924441476, 474797979, 954766745, -1, 818418760, 159645903, -1, -1, 502799971, 791167528, -1, 986733785, 451220111, 574524536, -1, -1, 617995213, 349714962, -1, 609967745, 17541418, -1, 432733709, 523743617, 761755629, -1, -1, -1, 132647859, -1, -1, -1, 693886206, -1, -1, -1, -1, 646314139, 282588161, -1, 80790458, -1, -1, 721614999, 942171363, 588962362, 909343201, 488923164, -1, 366318960, 9950225, 25548546, 462235950, 850116693, 303345779, 888553781, 717596760, -1, -1, 668642904, 538293632, -1, -1, 817830982, 422368764, -1, 609205269, -1, 373744402, 631598479, 394574542, 641926671, 106180745, 844695916, -1, -1, 460676584, 615303573, -1, -1, -1, -1, 678129233, -1, 247700307, 75905677, 411963448, -1, 160955186, 87985243, -1, -1, -1, -1, 886343639, -1, -1, 618069717, -1, 746095410, -1, 637975300, 41432208, 408664259, -1, 158166168, -1, 498120227, 562886154, -1, -1, 611448424, 868681584, 402557809, -1, -1, -1, 940803169, 925298665, 990383807, -1, 733066156, -1, -1, 550571985, -1, 744700017, -1, -1, -1, 973247421, 376787569, -1, 977400042, 461620448, 255271610, -1, 942018584, 314973050, -1, 893740694, 879424655, 990394960, 480111639, 828788333, 593612698, 311807317, 278763043, -1, 584980355, 924650465, -1, -1, 703658885, 796251865, 458887730, 781752781, 620175833, -1, 453077778, 178054349, 392304863, 43685193, 158322719, 462365347, 403705304, 554715031, -1, 972329553, 117982960, -1, -1, -1, -1, 214424118, 726658819, -1, -1, 183669062, -1, -1, 382781817, -1, 398952953, 851769586, 134946923, -1, 620060454, 538991459, -1, 926622528, 282115877, 265452312, -1, 430596789, 546351044, 776098362, -1, 883752592, 888847833, -1, -1, 99218206, -1, -1, 270544843, 145913688, -1, 714326743, 795682805, 763018964, 146112325, 582274671, -1, -1, 315060696, 819491620, 84849940, 73564674, 513052746, -1, 885233975, 258736151, 392930862, 126062314, 685008473, -1, -1, 650221461, 828010418, 1615168, 574480649, 814951114, -1, 993911507, 668657633, -1, 340941436, -1, 202297558, 902818735, 380559696, 354415133, 611123185, -1, -1, -1, 709213810, 897883280, 469819928, 496752412, 666846796, 968740744, 138253466, -1, 605835584, 716384419, -1, -1, 521084485, 633240278, 231162616, 309663628, -1, 524143292, -1, 735318526, 85172000, 542141378, 330621828, 202794687, 785466699, -1, 749007989, 589465001, 691896831, 26227211, -1, -1, -1, -1, -1, -1, 312921713, 599655042, 597464203, -1, 845343775, 798622490, -1, -1, -1, 646904000, -1, -1, 597407251, -1, -1, -1, 645351172, 406290529, 945998168, -1, 315239879, 793796411, 651457309, 436566944, 599029751, 230417452, 234571837, 114269620, -1, 815204584, 690678274, 49778260, 910904605, 629259312, -1, -1, -1, -1, 835804840, 639750972, 591660818, 551481574, 750686751, 919033030, 235098323, 379522342, -1, 122760658, -1, 476999114, -1, 944998068, 642875648, -1, 543904496, -1, 555326077, 159124490, 665227308, -1, 579009868, 581339373, -1, 889046357, -1, 558541683, -1, 126653496, 377324033, -1, 248375338, -1, 567114454, 414680149, 549666910, 580978931, 207546293, -1, -1, -1, -1, 871557486, -1, 960174614, 26499549, 430880950, 675603099, 457989492, -1, 858407015, 731563299, 136327199, 869986459, 808854588, 625091156, 692402502, 953574871, -1, 322833218, 384932931, -1, 151780235, -1, -1, 319786580, 344834749, -1, 709340920, 993616483, 755933799, 58594419, 711793196, 823333752, 118226169, -1, -1, 712840253, 988334134, 557487400, 780896564, -1, 456293246, -1, 463796481, 690293842, 996650257, 978884750, -1, 816415566, 845083441, 926858849, -1, 597764181, 38204238, -1, 350593418, 607314027, 382750857, 581230250, 133682580, 386044594, 103423902, 872765810, 224761574, 81134920, 472720629, 739160237, 841071684, 928026168, 321214656, 410339560, -1, 150463883, 429797719, -1, 905654589, 715317130, 568870500, 486917916, 929334718, 468379008, 525980983, -1, 219894501, 619512343, 438506344, 792290870, -1, 734837996, -1, 85314857, 942442015, 849172617, -1, 213543609, 897795704, 771683419, 59504566, 351701973, -1, -1, 942682942, -1, 977999925, 811482199, 911273068, 347726180, -1, 639906265, 129513713, -1, 740274834, -1, 966513102, 593277227, 448791827, 928921052, 972486718, 109590426, 625804345, 544884960, 537449502, 336805133, -1, 610961258, -1, 175098507, 634414766, 959370562, 935711646, 684602339, 856090358, 667327630, 721087776, -1, 622553143, 958232762, 938308216, 486894811, 988125834, 703560334, 621291467, 184421088, 190116556, -1, 801686767, 237182876, 163680348, 172053720, 248988389, 738889475, 75758839, 304392113, 114136880, -1, 321902192, 933241652, -1, 760921337, -1, 100439563, 152988038, 460665882, 267554953, -1, 940910388, 161473332, -1, 281201728, 733368169, 403108008, 55549183, 912108422, -1, 429928101, -1, 557518597, -1, 430510947, -1, 441096974, 367649809, 540128493, 339795696, 270282757, 741564446, -1, -1, -1, 598940261, 554923182, 399498973, 419429004, -1, 587317160, 960184685, 104064127, 713472344, -1, 16652749, 452423232, 766680250, -1, -1, 205409683, 379864306, 190860456, 547797360, -1, 756994852, 776721455, -1, 675083508, 675304062, 228193164, 289942766, 824910355, -1, -1, 483082401, 277174843, 908739525, -1, 519576143, -1, 168739982, 517399243, -1, -1, 373900753, 467286822, 875746347, 430922887, -1, 749884791, 772654221, 894004025, 219891305, 144647973, 886512630, 577376402, -1, 995407304, -1, 591819630, -1, -1, -1, 617143421, 159410089, 532807356, 931450774, 55461711, 234491995, 284282487, -1, -1, 475926904, 605721459, 825444410, -1, 619438461, 196524848, 307970121, 649443442, -1, -1, 124345569, 544383960, -1, -1, -1, 467943445, 941824238, -1, 656652403, -1, 171102075, 493957553, 674872586, 686861986, 264375086, 862338137, -1, 650991550, 377869159, -1, 893814196, 538881687, 521658622, 751206444, 635500893, 115152349, -1, -1, -1, 170149994, -1, 322370394, -1, 522730925, 335276673, 136493881, 869926046, 527313361, 564069343, 564718654, 754959393, 832827044, 788527904, -1, 199294425, -1, 246554067, -1, -1, -1, 74808352, -1, 424799589, -1, 556932269, -1, -1, 736216781, 553298697, 477862456, -1, 889544443, 467345834, 385246617, 2115358, 657456427, 749508515, 405733232, 392858150, 204652065, 941501950, 104194898, 780773621, 823632380, 900644518, 502904776, 864642345, 854107773, 778128266, -1, 248584764, 143344750, 89085337, -1, 454357029, -1, -1, 682073148, 987030024, -1, 314527393, -1, 266926840, 850072984, -1, 14297756, 690715742, -1, 743739129, -1, 323469172, 975504398, 163672220, -1, 142827705, 718605147, 768989951, 944907687, -1, 317649175, -1, 368708723, 989361295, -1, 91367855, 405119328, 797364705, 307403825, 144400078, 289748316, -1, 998923075, 150558160, -1, 157045997, -1, 450810098, 146473377, 451630267, 324814499, 854143287, -1, 329010188, 198505320, 826059785, -1, 444018666, -1, 740749040, -1, -1, -1, -1, -1, 89302109, -1, 851627751, 224305892, 582935458, 976113519, 813883328, 831334324, -1, 264979142, -1, 560168742, -1, -1, -1, 580734633, -1, -1, 576547982, 100699024, 963729988, 493436193, 777552780, -1, -1, 391052562, 34750969, -1, 722773513, 176280178, -1, 528323652, -1, -1, 565128390, 25885260, -1, 329931503, 542567590, 200934839, 361213864, 195375843, -1, -1, 284445788, 568779059, 931631118, 476730935, 934477032, 171451593, -1, 117606275, -1, 667958484, -1, -1, 546133705, 905560394, -1, 646621497, 205341559, 926883396, 302381392, 72367287, 841084923, 535410747, 154663394, 35168741, -1, 415348148, 28225185, 251284467, 609884560, 766350483, 150404417, 424766454, 411519707, 672223788, 328077543, 140613822, 897777553, 583948935, 703775593, 977369972, -1, 245893124, -1, -1, 807652303, 352879824, 279841747, 285863857, -1, 462043549, -1, -1, 462721915, -1, -1, 460625976, 766826326, 759563640, -1, 611011989, -1, 950785227, 988689773, 914275993, 805216940, -1, 598094940, 766409074, 930632513, -1, -1, 26032602, -1, 423593379, 28051718, 944936287, -1, 742785143, 83359500, 717079553, 925355362, 966171892, 49449737, 595354806, 235569771, 238618059, 812824932, 448437357, -1, 970474497, 875517446, -1, -1, -1, -1, 667257294, 889654224, -1, -1, 799091793, 820282367, 117794746, -1, -1, 632001786, -1, -1, 993654994, 545246333, -1, -1, 786371890, 287420020, -1, 83827866, 256900244, 451674484, 391979111, 842133414, -1, -1, 628128887, 122169202, 754012017, 621478201, -1, 993492823, 274739926, 357028176, -1, 304773474, -1, 858593106, -1, -1, 519276040, 468989089, 892424259, -1, 127225148, -1, 673723720, 565790158, -1, 576943750, 684998657, 171066128, 366318197, 506941886, 326967300, 589138698, -1, 215101799, -1, 417437399, -1, 507693767, 254563000, 954281283, 118525213, -1, 29495607, -1, 954251433, -1, 948818664, 615595670, 290493891, 569019706, 764557204, 655439854, 295986338, -1, 623273680, 484477726, 839692413, 404662519, -1, -1, 808302399, 664254955, 703415975, 924921485, -1, 276403477, 383754404, -1, -1, 392923891, -1, 340008066, 625967380, 918833416, 944511632, -1, 524057379, 397947835, 83096158, 895417106, 615552120, -1, 820883896, -1, -1, -1, 381827887, 69647163, -1, 446690342, 761844560, 908473118, 406727693, 931559393, 24438301, 756708818, -1, 998568564, -1, -1, 740713089, 2408372, 586125792, 411961192, 953532003, -1, 958906352, 865580161, -1, 492808018, -1, 103305668, 371597015, -1, 79429026, 131869439, -1, 731922652, 270419205, 479224199, 172371967, -1, 38061660, -1, 795802833, -1, 990845959, -1, -1, 4738062, 369063191, -1, -1, 536224069, 958775333, -1, 131561501, 414891772, 265707346, 285621126, 343935220, 63248423, -1, 315058371, 764550367, -1, -1, 490599048, 965415632, 104402131, 337791750, -1, -1, -1, 956212024, 89142285, -1, 113778031, 285906789, -1, 560566216, -1, 599183911, 68779136, 856183216, 965740304, 770577252, 715411149, 65811276, 100048549, 201982933, 56419792, -1, 107626861, 843548382, 5038424, 955252348, -1, -1, 213967943, 750015379, -1, -1, 114067155, -1, 819501262, -1, -1, 908601570, -1, -1, 50788156, 803686330, 143311059, -1, 273106511, 266836058, 329847966, 652539902, 254570920, 124443706, 869167706, 369926027, 668609942, 35054497, 394881172, 387062926, 586186697, 17373176, 575599700, 962689325, 737524633, -1, 340986968, -1, 642868490, 468325950, 208287910, -1, -1, 998199350, -1, -1, 473625989, 619909179, 755561822, 421064593, 880165067, 815877836, 351752004, 452620831, 437798689, 575088748, 1538005, -1, -1, 160349644, 482749301, -1, 675457444, -1, -1, -1, -1, 872020487, 434799861, 49486357, -1, -1, 355773458, -1, 578646716, -1, 958609791, 691174085, 401408138, 545414611, -1, 802122807, -1, 729144876, 835042810, -1, 336100587, 516731112, 118081905, -1, 595247368, -1, 345991814, 411414223, -1, -1, -1, 412886662, -1, 846408097, 881121692, 343508599, 824528755, 363161075, -1, 343694230, 19818006, 149244765, 71085360, 612065587, 303620971, -1, -1, 39126471, 477559260, -1, -1, 308756193, -1, 369091450, 599012211, -1, 816135069, 746762415, -1, -1, 681541409, 977008633, -1, 975816547, -1, 474846711, -1, 988565708, 764157997, 902036605, 73944927, -1, 944838882, 844408274, 743467015, -1, -1, 161550034, 613189547, 895810104, 845677490, 464916404, -1, 174796262, 527408287, -1, 936490156, 574538081, 132099243, -1, -1, 994201059, -1, -1, -1, -1, 845267719, 170166459, -1, 162069427, 298886962, -1, 561025957, -1, 541207224, 38416038, 466790072, 265072491, 343555145, -1, 515273863, 301213130, 509559431, 904857885, 889136079, 984452569, 758822536, 864974471, 377276916, 239056365, 596715011, -1, -1, 222550023, 73879187, -1, 381648863, 176219184, 433003498, -1, 157295366, -1, 855813398, 119156967, 844891787, 848446517, 885282288, -1, 128369021, -1, 344864657, -1, -1, 969777017, -1, 462702859, -1, 228885766, 151114467, -1, 800562349, 73772366, 737773235, 157297731, 69123491, -1, 298136394, 900922007, 108875496, 614502767, 849784096, 989977657, 670211181, 485237693, 465177890, -1, 141053531, -1, 9794525, 999169025, 400208606, 442338857, 460484016, -1, 12995998, 625667183, 101084467, 572012400, 648281023, 124848371, 868728700, 136678360, -1, 423924584, 510292288, 39773525, 369081748, 521272525, 561484389, 446427075, 467460832, -1, -1, 553095170, -1, 383693011, -1, 648476582, 121250775, -1, -1, -1, 529524900, -1, -1, 17025609, -1, -1, -1, 390405276, -1, -1, 894524916, -1, 391286538, -1, 906810696, -1, 6608730, 150177500, 134673855, 99184467, 164068218, 161365593, 407924461, -1, 520294291, 409012722, 663198081, 544126011, 933662435, 178425867, 868738515, 770515954, 646836721, 37619591, 575939306, -1, -1, 209681958, 355702876, 746520155, 177644908, 934542070, -1, 191960163, 350191076, 229858137, 271885247, 946177252, 987243908, -1, -1, -1, -1, -1, 97600560, 361619894, -1, 532993900, 763109229, 464947014, 247339401, -1, 144147317, 781064538, -1, -1, -1, 350905677, 955960591, 502108140, -1, 711236358, 553762536, 10384803, 773116026, 844923909, 773338344, 847010667, 423673782, -1, 848400510, 957603508, 342391242, 893967086, 134257393, -1, 593886794, -1, 765760322, 304287368, -1, -1, -1, 33547201, 473645534, 806742974, -1, 897400606, 894902037, -1, 71473093, 40053461, 680478300, 260403767, 132876405, 374716077, 272351626, -1, 807539519, 73631220, 490303652, 757759964, 546776517, 552346312, 689614226, 964672835, -1, 156300655, 615255274, 212319865, 365391135, -1, -1, -1, -1, -1, -1, -1, 933290815, 294754593, -1, 984696614, 718494368, -1, 521871446, 912973119, 91955604, 570151608, -1, 475941123, 304521666, 633346694, 59030621, 627449289, 252413283, 119107304, -1, 6453783, 458369458, 267801782, 946024465, 766284586, 31866072, -1, 44052360, 498210401, 655509911, 518591327, -1, 446686426, 462434964, -1, 566065687, 84229217, 544142079, -1, 63000526, 720052365, 662797639, 361305166, 285645485, 702601216, -1, 264324832, 565251410, -1, 879076163, 151469550, -1, 275593036, -1, 290339954, 407955655, 786858175, 843174877, -1, -1, 906672112, -1, 583079771, 899484587, -1, -1, 142841339, 60913218, -1, 85786891, 529168693, 418619031, 172881552, -1, 838964914, 75958058, -1, 761919550, -1, 964233906, 475818765, 94785014, 400316873, -1, 634880194, -1, 162038619, 908284587, 859911859, 553492630, 32152259, 938935825, -1, -1, 570675827, 435443284, -1, 55571, 975459253, 670314277, -1, -1, 715664652, 32962639, 697033802, 384186444, 875238028, 72818795, 391371406, 886207678, 660460741, 944212952, 583749222, 380592538, -1, 144370632, -1, -1, 744830232, 239293801, -1, -1, -1, 659227419, 408354688, 468101440, -1, 615555372, 948890047, -1, 304226354, 653172412, -1, 77240289, 125944134, 888435216, -1, 644159538, 293181877, 614919799, 969938821, 773365154, 195069904, 551170516, 619622040, 370147715, -1, -1, -1, 884951639, 400164186, 466560583, -1, 954092324, 387581072, 799957588, -1, 308153044, 136127400, -1, 572993900, 616806665, 481441482, -1, -1, -1, -1, 457337581, -1, -1, -1, -1, 582099198, -1, -1, 804644599, 492388955, 785103639, 5799282, 108082434, -1, 823632550, -1, 974668539, 706370308, -1, -1, 653749729, 313169966, -1, 975478131, 937124238, 862114071, 742924306, 682193926, 125740424, -1, -1, -1, 311630869, -1, 747010473, 5930185, -1, 67311583, -1, -1, 421796349, 293137986, 853959595, -1, 92094141, 417264341, -1, -1, 61212921, 896791220, 432040601, -1, 120294477, 976522754, 581681312, -1, -1, 657423356, 495616415, 866240364, 304762551, -1, -1, -1, 440314612, 538920558, 195145054, 280870156, -1, 929099933, 293066221, 469973618, 507942514, 754247743, 10802264, 803065771, -1, 356127023, -1, -1, 407628464, -1, 402308275, 591975962, -1, -1, 651396857, 366735914, 303134616, 856463083, -1, -1, 630503768, -1, -1, -1, 503651206, -1, 517796703, 726422936, 197701468, 559996374, 988974572, 484245125, 292330231, 982042569, 732110254, 773919265, 565652855, 846959617, 603853156, -1, 538057241, -1, 635096702, -1, 643655207, 130648972, -1, -1, 678608698, 426205441, 682194739, 660696410, -1, 547450983, 740522609, 21025713, 788646297, 755179442, -1, -1, 405958002, 841633912, 397339470, 887258545, 11643682, -1, 22818157, 344043485, 31025883, 957601260, -1, -1, 767881828, -1, 452880472, 922607644, -1, 402527105, -1, 396496658, -1, 33532431, 910167369, 973232984, -1, -1, 589809329, 394334953, 739144135, 386772212, -1, 470008369, -1, 362782520, 651950821, 179323838, 215920411, 959966929, 972979740, 801655992, -1, 937569737, 675014056, 855811706, 932100840, 860006142, 853846965, 608681065, 609144807, 68543889, 324281478, 466996910, 757766239, 301312625, 659366974, 581685859, -1, -1, -1, 433180313, 999865800, 636122493, -1, 29274774, 267286597, 951131248, 995436248, -1, -1, 38237750, 424435216, 160249117, 390812721, 348601520, -1, 72782963, 633195492, 941947185, 708963488, 824525094, 942564516, -1, -1, -1, 89547341, -1, 719700627, 819218159, 57920573, 645829963, 797059168, 491310979, 824446774, 294085650, 866715554, -1, -1, -1, -1, -1, 860836203, 858708208, 999646625, 932836006, -1, -1, -1, 735002499, -1, 589145096, 943691456, 71444383, 353844155, 522062900, 124828503, 580019748, 635512361, -1, -1, 605465814, 584594656, 395525404, 314649225, 157415867, 812693968, 791072236, 228173432, 540692439, 834394972, -1, 889825613, 91341524, 59885126, 910196696, 671439202, 933688834, -1, -1, -1, 732266052, 450950137, 388059741, 241460862, -1, -1, 14196291, -1, -1, 587990932, 934726436, -1, 797890327, 201665080, 2992597, 671207999, 948846072, -1, 630175687, 585307805, 466542055, 130332204, -1, 919823524, 448849707, -1, 536000738, 666376642, -1, 512667116, -1, 459751150, 845341340, -1, 9511848, -1, 808168824, 394466858, 479500573, -1, 524472812, 868494643, 627065029, 28869594, 224789146, -1, 306693000, 115180018, -1, 415648718, 191435677, -1, 330647852, 951111052, -1, -1, 563783086, 16464730, 906464317, 491329632, -1, -1, 925565038, -1, -1, 802977559, -1, 410494804, -1, 143453016, 739808439, 973532877, 560695207, 398781999, 443430103, -1, 507794609, -1, 714700708, -1, 638654083, -1, -1, -1, 969772969, 91226208, 710809953, -1, -1, 313469493, 840536516, 372010674, 532269674, 934649053, 338279999, 986641597, 403458152, -1, 688896117, 131165662, 572400091, -1, -1, 861607702, 683543036, 437606946, -1, -1, -1, 452943380, 453407870, 462972339, -1, 243895628, -1, 995918658, -1, -1, -1, -1, 727301462, 196480064, -1, -1, -1, -1, 248511802, -1, 733396971, 80313644, -1, -1, -1, 431689213, 299370122, 827718257, 97729821, 896037096, 453325662, -1, 496213456, -1, -1, 335925840, -1, 933182055, 463848714, 590279845, -1, 526713708, -1, 258055188, -1, 539878245, 24473842, 976288017, 192808763, -1, 249567305, 405662354, 560409807, -1, -1, 916204209, 303612875, 497973494, -1, 252192569, 71404192, 647429226, 783716934, 242784433, 242992037, 272417376, -1, 527846466, 762412603, -1, -1, 835320260, -1, 348309551, 358840374, 52353072, 129103849, -1, -1, -1, -1, 38629974, 306048544, 602041866, 983394430, 472813016, 69271509, -1, 569722341, -1, -1, 96868615, 398604019, -1, -1, 609247018, 50918765, 173894258, -1, 858732975, 523383563, 768498263, -1, 42067498, 308121582, 700280651, 469920009, 298304271, -1, 302020591, 47185517, 109792890, 225348926, 885680543, 732306922, -1, -1, 502856260, 798305416, 649572631, -1, 199095071, 881899850, -1, 631274116, 74649681, -1, 742275691, 62597501, 129327337, -1, 371531870, 861426965, 155490532, -1, 385802888, -1, 1438856, 334448437, 557948465, 625845202, -1, 994644599, -1, 324376952, -1, 365734744, -1, -1, 392441275, 671014630, 418922508, -1, -1, 208469973, -1, 587702738, 702786981, -1, 426197553, 963226527, 296064276, 4510251, 317368125, -1, 870512582, 663448005, 563579451, 702714215, 474206154, 562685303, -1, 475969892, -1, 334888423, 598749984, 146123902, -1, -1, 23814245, 575420932, 708267465, -1, 851855290, 669706912, 952456878, -1, 973795613, 614085773, -1, -1, -1, 5603070, 486385361, 655909156, 104495439, 955055533, 345776740, -1, -1, 796370998, 414392562, 436104084, 641098199, 591398125, 274167083, 334087247, 822105658, 576298799, -1, 738623626, -1, 60321676, 820854768, 169446435, 922865559, 888497875, -1, 92316989, -1, 546095138, 367347851, 50180596, 790850766, 560425149, 389046804, -1, 157390123, -1, 65227231, 254782392, 566425724, 140268370, 398969424, 215651123, 596599096, 583224835, -1, 6518884, 615020386, 792618577, 357362035, -1, 62502628, 454916414, 561196034, 763537972, 413281200, -1, 406980225, -1, 768746882, 339268942, 249170417, -1, 391388141, 903842546, 615200577, -1, -1, 535176112, 324653492, 435691453, -1, 78470034, -1, -1, 837901850, 829796547, 837373020, -1, 463879558, 455360313, 343105837, 631180159, 280056812, -1, 357848966, 575642060, 741703364, 930386530, -1, -1, 651143284, 713425649, 822113225, -1, 829836585, -1, 584907051, 435562997, -1, 163004672, 960385343, 110452248, 650585075, -1, 959770056, 291406565, 58078498, 165864514, 967224138, -1, 305435942, 668702309, 107082814, 405529097, 224497454, 384679271, 190341447, 833024742, 712240079, 386722224, 688515509, 510738557, 117281205, 563628737, 171404251, 174782549, -1, 706426384, 971183354, 726156015, -1, -1, 734597981, 111398732, -1, -1, -1, 356828592, 143686194, 588430976, -1, 867577864, 869606548, 182925550, 695921442, 267811524, -1, 128729047, 722312595, -1, 503728773, 775785065, 67649165, 143295539, -1, 494871600, 443551247, 296038680, 907818311, 537540738, -1, 172005904, 850449652, -1, 290546216, 573724601, -1, -1, 383641017, 660389071, 391767828, 102235445, -1, 334019812, 872986697, 393378789, 584794545, 37190779, -1, 209527858, 347352687, 569740304, 447005436, -1, 513943784, 402874888, 595183640, 855614183, 958941209, 550850573, 810042136, 451068694, 10014739, 260452634, 320765035, 609603984, 72527534, -1, -1, 388845345, 642057255, 216598276, 21637767, 387051475, 476804034, 976837648, 133603985, -1, -1, -1, -1, -1, -1, -1, -1, 486309458, -1, -1, 181873666, 749562370, 344405732, 819635694, -1, -1, -1, 740572742, 541304147, 904444618, 613760985, -1, 397928339, 880744251, -1, -1, 267573703, 706120301, 873674808, 958697586, 431533288, 423802308, 625219643, 205925521, 944345553, 444710044, -1, -1, -1, 20088282, -1, -1, -1, -1, -1, 248786549, 588906168, 349686504, 343898468, -1, 84388960, 417918369, 189690828, 176165736, -1, 116130019, 254294705, 482476171, -1, -1, -1, -1, -1, 104224638, 349138747, 981408932, -1, 910484928, 471514192, 887085320, -1, -1, -1, 279350958, 640850990, 815023711, -1, 153439420, -1, -1, 748044620, 919611448, 270473982, 673030867, 889093330, -1, -1, 934732113, 850013190, 47098254, -1, 571917552, 555094537, 542951546, 933690176, 562564666, -1, 554928431, 47410401, 159109202, -1, 780995163, 370411488, 661311780, -1, 281104198, -1, -1, 691423718, 344533644, -1, 406752634, 405940188, -1, 611873980, 492329456, 73702341, -1, 308714486, -1, 9148887, 807479552, -1, 133250456, 315045020, 826071319, 200083298, 307760018, -1, -1, -1, 721857049, 327943864, 139839715, 306008557, 498285570, 308120140, 220042477, -1, 233213362, 945707492, -1, -1, 436989057, -1, 5291610, 415564879, 891661872, 38323182, 731667199, -1, -1, 201775687, 927595979, -1, -1, 184347970, 502450759, 76980283, -1, 928545254, 8687732, 10126575, -1, -1, 282666465, -1, -1, 418322877, 6278355, 790788415, -1, -1, 815860492, 685230156, 852407218, 79106553, 290341128, 764589834, -1, 925729326, 760381847, 273919073, 862054633, 921758938, -1, 203436392, -1, 866787448, 799496541, 739182028, 508639205, 600529158, -1, -1, 286340687, -1, 393561385, 262435007, 606336186, -1, 70896248, 93126619, 930383023, 358868079, 104260177, -1, -1, 91363539, 645398373, -1, -1, 200726954, -1, -1, 943178845, -1, -1, -1, -1, 260260500, 65012817, -1, 986897608, 830541414, -1, 257184834, -1, 272757638, 332067001, 744087604, -1, 610760292, -1, -1, -1, -1, 978762264, -1, -1, 254786707, -1, -1, 886589341, 128980064, 858091589, 32607088, -1, 394403413, -1, 256131333, 278694143, 676301107, 963366897, -1, 937096386, -1, 105980042, 585040176, 919624228, 675235726, 154006222, -1, 818311188, -1, 345791812, 223504488, 825875260, 498610613, 924067707, 60641639, -1, -1, 196483865, -1, -1, -1, 773530582, 148301813, 426570552, -1, 359675009, 694370526, 994269857, -1, -1, 145641543, -1, -1, -1, 356011773, 437975008, 195486492, 531892761, 328935424, -1, 796013387, 937166442, 651672430, 812536184, -1, 763233068, 252937769, -1, 42371614, 372177934, -1, -1, -1, -1, -1, 412245591, 47485859, 544529715, -1, 25333166, 759628073, -1, -1, 678518185, 180762270, -1, -1, 196980529, 83629633, 383690060, 172013627, 357978029, 838946472, -1, -1, 200601619, -1, -1, 158497016, 670405992, 645820094, 192174504, 427015566, 256515268, -1, 224330384, 770460407, 500753686, 982063265, -1, 111123158, 408662203, 991363472, 695709475, 700393805, 654356951, -1, 509978125, -1, 787064155, 363163955, 728341072, 821581638, 972634283, -1, 407979053, 746963844, 678822976, 672509231, -1, 858019337, -1, 525865532, 235216313, -1, -1, 14440021, 838024140, 866245431, -1, -1, 728839298, 416876444, -1, 300311632, 147202225, 420700861, -1, 902658247, -1, 707035330, 266951341, 251516446, 570246184, 404769106, -1, -1, -1, 325092994, -1, -1, -1, -1, 129559117, 15213935, -1, 361209334, 22068587, 133863676, 536173543, -1, 815134066, -1, 881515485, 329495054, 529818461, 126194332, 218397434, 772136390, 132955984, -1, 674704717, 188464731, -1, 503959058, 432626897, -1, 947262646, -1, 949079265, 617082933, -1, -1, 815893661, 889404712, 846095580, 321062428, 489163350, 688786382, 177115197, 278584230, -1, 589753781, -1, -1, 605385447, 4515718, 972821055, 202984096, 319433926, 244958953, -1, 257031452, 411275638, -1, 583868726, -1, 358409833, 704508644, -1, 233828454, 887111352, 53081951, 888625703, -1, 630049204, 814869790, 191386166, 850215781, 227997468, 401159570, 388758001, -1, 503698404, 512437606, -1, 762472660, 217687972, 91911533, 209322788, 361699013, -1, 592356757, 973414811, 740560660, 743837257, 998294462, 543319207, 489162449, 565260158, 572399818, -1, -1, -1, 21951704, -1, 800680901, 536069924, -1, -1, 769087056, 449597494, 119955957, -1, 311978195, 485215987, 846662370, 568922162, 163096888, 477459765, 768639037, 711267647, 734295782, -1, -1, -1, 404120491, -1, 851200333, 2039109, 386430266, 660951396, 626769669, -1, 698592428, 31206609, -1, 419240368, 996748371, 549548505, -1, -1, 6753084, 372447936, -1, 985931339, -1, 556610279, 749957927, 61855386, -1, 418583146, 413230935, -1, 952298593, 353162730, 174496792, 563179179, 48520007, -1, -1, -1, 749072982, 170562339, 257586772, 855442989, -1, 345134827, 923569349, 884408356, 800426111, 957758006, 878471570, -1, 442673159, 34698151, 541179317, 50159602, 721316823, 557785446, -1, 177714306, 358936702, 938822717, -1, -1, 828622537, -1, -1, -1, 107563133, 429059315, 157563794, 905668321, 434938419, 152340346, 619435901, 914675047, 260404694, 732566575, 16275568, -1, 120674781, 884933119, 41725866, 734151966, 370740731, 730150370, 480754794, 353781570, 43181125, -1, 593157172, 418424472, 96344894, 575259808, -1, 482260109, -1, 379156198, 537205226, 241211319, 805620702, 869798610, 624865822, 50179902, -1, -1, -1, -1, -1, 661291942, 730072391, 621613807, 415736634, 402878376, 979666619, -1, -1, 727387335, 169374851, 662219998, 562878787, 792970517, 22571308, -1, 145195951, -1, 260540396, 285183354, 665890876, 445716326, 420683847, -1, -1, 768613193, 163864396, 148122537, -1, 376568321, 509496604, 336182280, -1, 915582364, 650403297, 669058438, -1, 160598499, 645912140, 93288554, 659295230, 618385095, 993452918, 256633007, 420830198, 997193636, -1, 107439423, -1, -1, 278878917, -1, 771683939, 158835313, 643197079, 875723398, -1, 713685527, 597857196, -1, 945985291, -1, 466514990, -1, 773277960, 960041387, 955511130, 984238967, 807814979, 975644575, 711983833, 60190139, -1, 853539722, 934789658, -1, 680594183, 589525696, 845270334, 947836552, 69775208, 124098962, 831030393, -1, 180059612, -1, 908737104, -1, -1, 329546531, -1, -1, -1, 99961749, 703407935, 132376658, -1, -1, -1, 302908165, -1, 107922151, 564215314, -1, -1, 616136193, 992187391, -1, -1, 999899286, 278141104, -1, -1, 402728954, 107661563, -1, 794977195, 154632364, -1, 559659955, 805293861, -1, 81589031, 219314703, 746585626, 183825730, 867020135, 49025421, 548796093, -1, -1, 384935112, -1, 345526793, 956448041, 5702791, 519702442, 711156305, 732620756, 553007280, 13000278, -1, 936101033, -1, 156035668, 477893751, -1, 869618708, -1, 56964007, 315009071, 730115765, 581583813, 323805020, 409915931, -1, -1, 87127025, -1, 517968432, 35855663, 132466249, 115035404, -1, 379159479, 808641564, 399765344, 125536559, 15291154, -1, 770407810, 516874418, 570379276, 102301690, 954417881, 851265603, 67174704, 552663582, 112603884, -1, -1, -1, 28113489, 785314761, 47746501, -1, -1, 724097795, 669285081, 758204673, -1, 206536938, -1, -1, -1, 497307009, 833964088, 341471337, 803970954, 318398830, 234445560, 339387994, 185726897, 40568008, -1, -1, 492777965, 164049590, 134059662, 949681130, 873402532, 136854757, -1, 573945001, -1, 58561727, 952904442, 818128995, 405952424, 3954512, 55836141, 137612540, 198068539, 982899901, 905364306, 554928784, 748847834, -1, 612723421, -1, 975223468, 937271301, 123927310, 520711605, 51942213, 452615939, 396987169, 661845214, -1, -1, -1, 45369244, -1, 845284094, 702900404, 871514532, 983442520, 466108871, -1, 696110536, -1, 136798194, 678023570, 944843785, 22604721, 581783450, -1, 857650690, 888279370, 253537043, 566663959, 948922840, 292532423, 799800138, 371607839, -1, 726208357, -1, -1, 73987974, 159438833, 92765751, -1, 788963583, -1, 61007205, 65644155, 804208944, 149406070, 410667949, 336572105, -1, 267344169, 972424842, 138173321, 852462897, 901519072, 764182996, 557544, -1, 980633250, 284424062, 732412958, -1, 112492808, 242566680, 500220879, 870726679, 986357428, 812774770, -1, 736290226, 205784943, -1, 391862806, 83670521, 760073226, 444742605, 59206839, 750254205, 972485024, 372238777, -1, 316704131, 105564959, -1, 84665694, 249166425, 148715765, -1, 16314614, 415241288, 280586727, 996088869, 713960438, 127136934, 171667910, 69771945, 389812416, -1, 584646390, 569990128, 104466930, 179197238, 866563467, 539775488, -1, 660325143, 50310383, -1, -1, 866844648, 604593010, 155571276, -1, -1, 587433539, -1, 129123986, 242776351, 860365316, 731341055, -1, 937629458, 777285878, -1, -1, 782029330, 188988623, 877349161, 917375270, -1, -1, 130738780, -1, -1, 703050112, 736231994, 966589250, 912714627, 432721831, 963483007, -1, -1, -1, 341619882, 112690982, 994162335, -1, -1, 749320186, 935747073, 321890888, -1, 169808424, 24726679, 779250877, 157036851, -1, 72137264, 721570234, -1, 796598731, -1, 656558969, 461407956, 267949866, -1, 150036736, 759847237, 921925763, 263167537, 518973093, 877634294, -1, 754536663, 37485560, 757774049, -1, 111688471, -1, 48089926, -1, 823815431, 974572683, 431704105, -1, 262113754, 489287188, 257015038, 904909315, 674048379, 231577943, 627171627, 365570453, -1, 489998028, -1, 958495786, -1, 837784600, 264982259, -1, 972582233, 692052712, 31919273, 808527616, -1, 359709117, 475437385, -1, 79000516, 84471309, -1, 120219667, 28623712, 576272640, -1, -1, 850543559, 613477680, 161345499, 899656238, -1, 761536507, 386505285, -1, 646018514, 214806701, 410866163, 918783977, 800855899, -1, -1, 121129691, -1, 648594554, 876672312, -1, 5219514, 51154625, 444013513, 888155537, -1, 363853437, 176525186, -1, -1, -1, 629583867, -1, 728717887, 370724723, 406942773, 65588738, -1, 79243759, -1, 227588861, -1, -1, 68172069, 219086429, -1, 840146257, 469273383, -1, 851596228, 424023394, -1, 147385422, -1, 597180334, 456508676, 786415557, 304363190, 634797149, 611454388, 391446736, 29001837, 645282469, 891018066, -1, 181044909, -1, -1, 458011813, 291283726, 304126885, 580565368, -1, 969585403, -1, 137244988, 348859390, 960435896, 897620149, 630108916, -1, -1, 375019117, -1, -1, 102885980, -1, 696266997, 616683536, -1, -1, -1, 714102819, -1, -1, 883443302, 496309687, 554267984, 737650970, 607232050, 784097967, 226625533, 516112255, 341580815, 350086639, 506056263, 266372940, -1, -1, 264539745, 312374633, -1, -1, 743197200, 898191189, 402673945, 823690285, 700553706, -1, 625013037, 461384131, -1, 125484958, -1, -1, -1, 422779923, -1, -1, 815888508, 119975523, -1, 220239098, 309463304, -1, 879530935, 296411022, -1, 425215518, -1, -1, 594679971, 400278624, 964646314, -1, 430899575, 530458870, -1, 960256301, 112605492, 665488230, 455049335, 669169954, 793056337, 486617984, 534881067, 814910582, 421857888, 232402075, 199668453, -1, 735378048, -1, 712339611, 36722522, 525278770, 505519281, 683644744, -1, 72952853, 91587431, 981580364, 913377533, -1, 551989529, 305428467, -1, 161093416, -1, 157773194, 567286957, 767446457, 459360634, 815184592, 533060417, -1, 208461378, -1, -1, 672463311, 985157683, 253915298, 54253819, -1, 618208460, 617719085, 364471146, -1, 181690551, 619001379, 385612432, -1, 384427019, 341806922, 927773559, 724271119, 711058822, -1, 238084100, -1, -1, -1, 360758486, -1, 132390864, -1, 964829700, 852200291, -1, -1, 236247969, -1, -1, 726286298, -1, 792291939, -1, 471539054, 340280731, 280855635, -1, 1799118, 199312761, 723966911, 29090477, 353364578, 15530086, 546199901, 343362440, 238839812, 703470291, 31396782, -1, 856886705, 763631739, -1, 902840641, 455441185, 861490515, 672411096, 584331257, 55625840, 945510780, -1, 170272103, -1, 913470211, -1, 633828777, -1, -1, -1, 967713215, 105843965, -1, 864939588, 316961783, -1, 130251076, 978942976, 77104224, 615324184, 647403872, -1, 148211190, 724917918, -1, 500315302, 170022105, -1, 941390724, -1, -1, 954453402, -1, -1, 101228503, 317176428, 299460782, 70470068, 673834247, 658463079, 740528503, 101328936, -1, -1, -1, 135985674, 963393356, 994819389, 512869932, 971745186, 835385814, 11962477, -1, 570326862, -1, 274672297, -1, 440492226, 599347800, -1, 134305638, 289690434, 26686300, -1, 549660667, -1, -1, 900810864, 996627338, -1, 255696238, 726784735, -1, -1, 969391051, 44535065, -1, -1, 707262653, 981232219, 135239616, 25056992, 79399676, 64312535, 897457370, 886893439, 705977494, 561741135, -1, 410068562, 618549819, 706666836, -1, -1, 602854827, 744462941, 341601561, -1, 756098435, 358450133, -1, 504200837, -1, -1, -1, 724604045, 992321243, 472530674, 67465686, 670523808, 157757339, 432111475, -1, 608447607, -1, 983794032, 652605401, 979285100, 47637237, 510652472, 202617528, 792107323, 43162746, -1, 585114681, -1, -1, -1, 775476953, 19666624, 750117163, 34137164, -1, 678661660, -1, 523423624, -1, 429351829, -1, 783531418, 417906251, -1, 545055750, 993293026, 540515385, 58751508, -1, 523424266, 395725056, -1, 505988998, 604992122, -1, -1, -1, -1, 469945255, 881783349, 187599527, 408247640, 667734548, 98248591, 189480880, 897856445, -1, 996907216, 727693572, -1, 812526446, 973193825, 860850645, 327002385, 157609586, 553576148, 620963800, 780536069, -1, -1, 191405958, 821074540, -1, -1, 182368073, -1, 247834258, -1, 316401300, 519976577, 88596638, -1, 536900414, 530835521, 828123790, 165540652, -1, -1, 724049861, 675271834, 390876290, -1, -1, 876441859, 901970555, -1, -1, 504231647, 977271519, -1, -1, 401925715, 87743585, 178018065, 595280751, 24493228, 230246442, 402659372, 580355602, -1, 551858653, 55176809, 876354906, 56688750, 816840179, 720462453, 535927389, -1, 989771231, 145991879, 129390098, 540111044, 229276374, 69066543, 522343772, 82730883, -1, 383391156, 811314885, 669618488, 117258930, 452822648, -1, 178958940, -1, 987549752, 840109442, -1, 642833267, 571592978, 461057460, 685894757, -1, 567888391, 655769725, 789018579, 164552122, 62648067, 167433226, 355485507, -1, 403429830, -1, 409509915, 320427347, 275885757, 379699199, 395196116, 939825593, 732681858, 467550708, -1, 681506886, 739872817, 201009186, 219181206, 970832289, 293694328, 507728102, -1, -1, 883355982, -1, 260672336, 365771733, 38591573, 167321741, 166134801, -1, 892776604, 585636739, -1, 687442736, 368301850, -1, -1, -1, 692658676, -1, 3413450, 680166384, 285389588, 120674218, 356013634, 799759387, -1, -1, 373553109, -1, 825289066, -1, 819982117, 547251053, -1, -1, 714199209, 842203140, 905370965, 340273391, 530518300, 103856123, 818123507, -1, 969295106, 246344661, 875723132, -1, 27157440, 929712140, -1, -1, 540802164, 485025889, 7542955, 614830570, 772011297, 307775073, 653635600, 720001537, -1, 698383938, 420104979, 670780441, 575145214, 22973290, -1, -1, 846460197, 814845871, -1, 33255365, 435827639, -1, 901239195, 669091874, 918946046, -1, 382692318, 791875366, 451358202, 6858967, 729656960, 748492932, 177747845, 452747682, -1, -1, -1, -1, 76404727, -1, 681783558, 170020443, 196834673, -1, -1, 461830084, 50656236, 573539497, 367767202, 504111136, 560697215, 349280344, 457090811, -1, -1, -1, 113660718, 756214666, 658599641, 618524012, 84841786, 81472739, -1, 483182920, 310319423, 91030084, 442016115, 510944826, -1, 120135455, 581927266, 948458800, -1, 402409365, 94687680, -1, 970443678, 969895509, 505309801, 537244826, 934852010, 118914357, 940834779, -1, 833969969, -1, 800808673, 798213620, 859729571, 60752739, 719882457, -1, 839142610, 929041342, 413435952, 849935744, -1, -1, -1, 778994217, 697404947, 368683489, -1, 94717297, -1, 235452672, -1, 452808016, -1, 607792757, 23629874, -1, 445253839, 521884583, -1, 357216378, 918701522, 947083779, 584920081, 913964810, -1, 798876518, -1, -1, -1, 670394620, 180935513, 23398793, 840898407, 703706412, 689588933, 316602831, 245780964, -1, 116522652, 883838684, 567785958, 776053097, -1, 533167674, -1, -1, -1, -1, 247349847, 393135327, -1, -1, 422303542, 849514649, -1, 70260157, 127824081, 211513082, 98065140, 158079692, 161623924, 58209611, 81887873, 327705841, 64304531, 907337012, 128046507, -1, 575023689, -1, -1, -1, -1, 937623243, -1, -1, -1, 193247786, -1, 386061687, -1, -1, -1, 241486917, 838223161, -1, 365332069, 777118206, 35445875, 57452369, 486687309, -1, -1, -1, 811260709, 203308177, 345151644, 437009586, -1, 518264054, 921930056, -1, 765558212, 82454130, 814164764, 317348735, 169843716, -1, -1, 54091380, -1, 486783001, 983165850, -1, 638808614, -1, 474901892, -1, 334324030, 620382041, -1, 828479486, -1, -1, -1, 884065226, 384246623, 592144228, 630489797, -1, 390735298, -1, 761551844, 643645048, -1, 243605775, -1, 976848792, 852102800, 845315435, 909925164, 200465571, 212448925, 790017376, 300211869, 608490957, 520146264, 969921206, 901457481, -1, 177970799, -1, 994769462, 628926056, 947943296, 934142647, 267244138, 287474502, 966886085, 392705103, 787684712, 659622530, 899724847, 90801155, -1, 414941371, -1, -1, 437123160, -1, -1, 742011113, 303986509, -1, 519157260, -1, -1, 877265905, -1, 220871094, 352808950, -1, 870115653, 899278850, 933279306, 547886574, 475669273, 321123473, -1, 687371610, 807349252, -1, 621978218, -1, -1, 640160533, 473110088, -1, 612338545, 467525862, -1, 787297535, -1, -1, 22227773, 358834040, -1, 340019655, 782397792, 710826101, 351794599, -1, 938226725, 38629868, -1, 685491656, 72423897, -1, 91697307, 952732299, -1, 728825807, 984057637, -1, 717357766, 592070208, -1, 562492363, -1, -1, 947208631, 939529794, 210750999, -1, 649831121, 222467229, -1, 99864067, 561378152, 179338043, 175390289, 495190361, 864610693, 4606283, -1, 520578775, 647887243, 441659846, 985821286, 702396601, 803847348, -1, 529015147, 382253543, -1, -1, 516704737, 579293838, 318500886, 301596245, 336184371, -1, 639734966, 655386597, -1, 404207224, -1, 690069030, 225956001, 842282064, -1, 334404990, 938939264, 209522964, 367799056, -1, 412810175, 690806569, -1, 164474177, 673222301, 129583269, 502917463, -1, -1, 981030054, 59609196, 171673823, 977778541, -1, 166414148, 261636548, -1, 733273585, -1, -1, -1, 482928583, 327841417, -1, 577874200, 369603283, -1, -1, 423267881, -1, 740216766, 371909098, -1, 178170385, 478398555, -1, -1, 900732349, 91403058, -1, 233676838, -1, 144076181, -1, -1, 955894467, -1, 721445310, 216327520, 597986771, 370645862, 612727117, 656829665, 619641127, 852112648, 924000056, -1, 204614200, -1, 773565930, 417954353, 223416082, -1, 188371603, 480479243, -1, 980742017, 723164285, 126421338, 645133494, -1, 432135054, 846442593, 152111315, -1, 845229339, 145501129, -1, 121052239, 38542486, 222248662, -1, 967012993, -1, -1, 52015479, -1, 282591272, -1, -1, 789290154, 164572692, 187568032, 403464482, -1, -1, 538161092, 235487661, -1, 876404828, 64454408, 508248930, 941029189, 835018402, 79000771, 718895335, -1, -1, -1, -1, -1, 369576371, 97489942, 204681355, 735826464, -1, -1, 780520205, 21959836, 491700051, 190670769, -1, -1, 448286764, 535568478, 929106449, -1, -1, 496416604, 865836221, 407529097, -1, 552800803, -1, -1, -1, 706604881, 666245405, 976661854, 758853357, 204195515, 406622329, 13315121, -1, 577866978, -1, 431727560, 172155459, -1, 939299017, -1, 25721746, 162243878, -1, -1, 500452531, -1, 954828254, -1, -1, -1, -1, -1, 927589300, -1, 430331775, 636447707, 162241553, -1, 553329738, 541241877, 613768237, 349113772, -1, 159284798, 717341975, 913240606, -1, 36643214, 274845334, 649375441, 590930934, 509123866, 858161444, 766746485, -1, 484958209, -1, 339464752, -1, 929840311, 273221358, 206746291, -1, 344165285, 47135508, 633880849, 503310492, -1, 316638852, 408823727, 713823041, 574319176, -1, -1, 278093976, -1, 912673245, 378810497, -1, 150879188, 293446419, 682878892, 135604052, 696538200, 467984473, -1, -1, -1, 284557469, -1, -1, 11893320, 479023841, 435221030, 877345876, 485023253, 157278251, -1, 296785816, -1, -1, 239054236, 214836167, 272356553, 797966616, -1, 350428387, 950822178, 650420903, 923810565, 176395963, 415338542, 191178397, 875154445, 342101909, -1, 92512293, -1, 743489968, -1, 637490176, 696534211, 708629599, 251161842, -1, 195541636, 369025817, 972003915, -1, 888902881, 413302194, 795121879, -1, 506175526, 905289864, 429301453, 23239989, -1, 636273075, 45794098, 50154416, 94741733, 278428157, 450130320, 632192003, 623754334, 915556740, -1, 648833436, 113514918, 173535166, 823021835, 203657070, 90974544, 479298859, 914833036, -1, -1, -1, 143223642, -1, 510673092, -1, 307853367, 131425133, 166412574, 838228399, 257318204, 500879225, 633261201, -1, -1, 450154730, -1, 670186641, -1, 397326233, -1, 899103186, 876692929, -1, 96668412, -1, 48412331, 390105622, 689389746, 37570804, -1, 245265222, -1, 14637901, 825326688, -1, -1, -1, 974609261, -1, 958368127, -1, 307190696, -1, 155326519, 469384648, -1, -1, 960860313, -1, 368186897, -1, 489701001, 512673540, 470908631, 774851433, -1, 818907608, 75129936, -1, 449822951, 647645930, 372432467, 315014894, -1, -1, 563455769, -1, 746113529, 201202921, 906222120, -1, 860123387, 348994748, -1, -1, 564071014, -1, 471936522, 935716218, 409571030, -1, 904637486, 1930729, -1, 377594966, 87324731, 473111865, -1, 755016529, 901393923, 500987949, 713484847, 753526093, 319396549, 503996403, 765671398, 623136690, 539455451, 105348220, -1, 158850324, 559443698, -1, -1, 695776211, 985371375, 699301560, 266987943, 438219130, 573168203, -1, 38192980, 877041226, 909295297, 128646076, 745529247, 388721170, 467618154, -1, 736349988, 131655060, 553434045, -1, 997584640, -1, 822429674, 234061527, 599992138, 864420770, 546256280, 75093020, 239551683, -1, 255197387, 829643601, -1, 36067933, 913606565, 637785751, 999622740, 323826874, 893221801, -1, -1, -1, 479768897, 788108762, 311230427, -1, 188248666, 495432580, -1, 171658374, 216095961, -1, -1, 956226842, 503172031, 631910377, 413152513, -1, -1, 291770281, 776502783, 541832809, 53333103, 727353783, -1, 961245446, -1, 553979706, 57646080, 817547456, -1, 762304990, 722085747, 853242559, -1, -1, -1, -1, 612939310, 757545177, -1, 172607877, 600328548, 816757213, 734055958, 525903880, 66261039, -1, 185995570, 842614264, 338524590, -1, -1, 759199331, 938287767, 481865433, 60570021, -1, 538387983, -1, -1, 12554046, -1, 593839435, 828167524, 226023415, -1, 192852403, 376315585, 549826725, -1, 218322851, -1, 193846896, 736441991, 164020269, -1, -1, 199712754, 491397717, 8754104, 112534432, 907506445, 772058689, 15414931, 71536470, 521515286, 596501982, -1, -1, -1, 636625735, -1, 995133316, 687312147, 616168195, -1, 765538629, 231085635, 563635165, -1, 3953072, 827335774, -1, 117483628, -1, -1, 340279716, 981649478, -1, 489521584, 695606952, 206856356, -1, 289064807, 921997389, -1, 19339899, 245275751, -1, 217184360, 524194984, -1, 318969503, -1, 911342905, -1, -1, 759257750, 792504234, 418097935, 640659212, 575374908, 454645736, 700211384, 757923963, 538751230, 762795384, 188796011, 245654915, 653014166, 595719802, 307910051, 340978462, -1, 532434177, 789910516, 630521154, -1, 137987317, 565583405, 351922942, -1, -1, 999545024, 875617749, 333466573, 240543738, -1, -1, 713727520, 279148933, 527240179, 86419977, 661145298, 236461223, 440532879, -1, 352566171, 372163876, 127076064, -1, 30792697, 902666501, 607438294, 546814520, -1, 337021849, 64177775, 106565760, 292365169, 52471657, 558094358, -1, 27826742, 766535407, 908519923, -1, 857252123, 181968012, 693323176, 135042192, 68986039, -1, 534238764, 363870132, -1, 892826590, 61346209, 623117786, 276636667, 857529996, -1, 931855313, 729598540, 890909056, -1, -1, -1, 36773060, 466506828, 133501008, -1, -1, -1, 329433955, -1, -1, 962823469, 57151580, 622935154, 702348220, -1, 82564762, -1, 786549499, -1, 605924842, 136479372, 451918539, 320258017, -1, -1, 928922889, 468857953, 294279155, -1, -1, -1, 643547201, 761110140, 439777520, 674255669, 895384627, 413703645, 279947034, 156645285, 188500933, 276681839, 986460113, -1, 603919147, -1, 644401701, 347108347, -1, -1, 480507874, -1, 804763749, -1, 547462977, 858857063, 637407119, -1, 295313301, 46964656, -1, 96674647, 452574120, 813310915, -1, 154519699, -1, -1, 192923111, -1, 402420045, 701695328, 940056499, 186395938, -1, -1, 883062812, -1, 1725901, 729720748, 904256943, -1, -1, -1, 456050016, 906434179, 858059398, -1, -1, 788025944, 890087177, 728550626, 83196239, 637340858, 653546360, 795643425, 682883542, -1, -1, -1, -1, 189939005, 749892444, 303179289, -1, 760486741, -1, 477658846, 879858480, -1, 404481290, 816043688, 959087554, 819283583, 240159231, 836538141, 254628961, 421416407, 962443330, 28408580, 645463501, -1, 646020344, 760561204, -1, 979211595, -1, 197847248, 669081350, -1, 478321082, -1, 85684007, 979247880, 292002322, -1, -1, 477371329, -1, 654870922, -1, -1, 169707133, 761865155, -1, 11979333, 775039576, 221964675, 879855425, 347957699, 332107489, 689612353, 244478363, 260915697, 461459518, 124611614, 332264291, 824251155, 280103779, 401852119, -1, -1, -1, 787751236, -1, 561141627, 337452439, 853760764, 696694711, 326323247, 791990445, -1, 240262563, 347783537, -1, 634901250, 258916751, 487093316, 629746557, 578618582, 227298362, 882952621, 533496470, 124076009, -1, -1, -1, -1, 889198898, 922677486, -1, 320674795, 326684948, 826864800, 234029439, 621193659, -1, 744142230, 121282634, 784607506, 590021273, -1, 360586282, 766078749, 408269363, 766314506, 828003064, -1, -1, 674424824, -1, 654745614, 506514128, 520543631, 279073904, -1, 125486076, 446466898, -1, -1, 468613788, 320471697, -1, 720821640, -1, 118095742, -1, 857121960, 678927429, 151365133, -1, 893708699, 729843285, 97181430, 126734204, 719322631, 780842896, 67970823, 314610446, 744130857, -1, 361101772, 109915155, 149166692, -1, 937244201, 767971309, 765533932, -1, 138206634, 248009838, 212136327, 745354564, -1, 926265411, -1, -1, 507032993, -1, 816196972, 85524933, 634479821, -1, 181112634, -1, 91734692, -1, 126993718, -1, -1, 657861394, 902498258, 645327786, 917200471, 959934068, 328020752, 889131520, 674604860, -1, 468050293, -1, -1, 570323416, 365033874, -1, 553243095, -1, 776480919, 143764530, -1, 857325061, 52037432, -1, 30851444, 486953520, 133427930, 309040248, 915383862, 565522624, 20218085, 893659242, -1, 99823454, 49511949, 737427938, 668286647, -1, 180065721, 425492418, -1, 969649261, -1, -1, 876943569, 353426982, 989244523, -1, -1, 562807273, 230264241, 353067365, -1, -1, 132361234, 512659921, 420614030, 73916698, 699531483, 110188158, 415950134, 466161113, -1, 451280262, -1, -1, 121814942, 442369566, 702537016, 348014521, 897062631, 621717182, 169011220, -1, -1, 218564801, 32555200, 98345268, 985315659, 597468255, 959167017, 418243535, 285617811, 256587130, 284592380, -1, -1, 130798179, 801527499, 193832372, 475980663, -1, 866746549, 475544235, 919324461, 358210087, 700285534, 468546593, -1, 178406988, 568803339, 263882108, 46163966, -1, 152831152, 26723819, 751918320, -1, -1, 457104293, 921966020, -1, 743750859, 687145986, 618845940, 234500588, -1, 769861198, 558997184, -1, 146997532, -1, 457115602, -1, 305749371, 899917696, 283083416, 892342899, -1, 429235181, 51703265, -1, 323366710, 53599414, -1, 499361721, 527967617, 300020395, 26265277, 408978085, 479998269, 413272805, -1, 144185665, 867964790, 29233650, 222775385, 867210287, -1, 161776204, 371778942, 21363395, 832451272, 611853728, 76428680, 730406319, -1, 174746474, 871176143, 816015609, 165700432, -1, 836217485, -1, 715256376, 585578742, 769234660, -1, -1, 138968204, 627408083, 446336168, 855240671, 940988130, -1, 686235054, 649376572, -1, -1, 989070857, 327680161, -1, 552406307, 850259374, 880137875, 801992789, 104074632, 278000389, 841440835, 98823466, 844342479, 936328851, 177885436, 107475636, -1, -1, -1, -1, -1, -1, 930610936, -1, -1, 12675815, -1, 383352915, 7229155, 888694640, -1, 163840162, -1, -1, 686058417, 158739866, 475085014, 332382056, 737291279, 177913625, 482154117, 864934645, 893576173, -1, 565215312, 414015463, 402316694, 55319698, 738595432, 581455553, 805589231, -1, 439174810, -1, 128516846, -1, 428341805, 463336291, -1, 267193516, 967961287, 799540462, -1, 601838286, -1, -1, 93269292, 307455500, 198435399, 547120202, -1, 609694731, 881304473, 227461369, 398218382, 992237037, 498824292, 5534895, -1, 576355388, -1, 298420428, -1, 958467603, 822291545, 364947442, 106741940, 546824748, 131123773, -1, 517588311, -1, -1, 289616854, 957187112, 405724938, 942647688, -1, 168616618, 760926381, -1, 294029837, 656932060, 350957696, 65966983, -1, 490792188, -1, 163117839, 252707386, -1, 935221264, -1, -1, 815503303, 395767713, 131393231, 851607065, 884838784, -1, -1, -1, -1, 269781437, -1, -1, 930470859, -1, 930240461, 962863478, 965537977, 600632697, 182103199, -1, 849776392, 717156254, 103147487, 828616782, 656102238, 225897904, 997977677, -1, 453023037, 590494099, 534704310, -1, 355956330, -1, 394913255, -1, 657831985, 258108663, 567072508, 474832665, 46107697, 995179442, 687245547, 816587359, 387925800, -1, 111696189, 296816847, 222863684, 595066259, 668092667, -1, -1, 370289142, 334525806, 647949746, 41846201, 902885529, 880764986, 644594541, 675401813, -1, 198154349, 308278550, -1, -1, 463684793, 514293589, 886441835, 678786563, -1, 654571254, 218479251, 237487732, 925889793, 319449258, 57129592, -1, 832180901, 858345239, 806204891, -1, 947505125, -1, 800994510, -1, 346997536, 759124700, 659560871, -1, 588807524, 463534368, 432776685, 66277541, 423897825, -1, 817748611, -1, 43116758, 919064517, -1, -1, -1, 431480611, -1, 955257684, 602006126, 814389641, -1, -1, 11935347, 42244974, -1, 548689127, -1, 924738607, 603806835, -1, 540334919, 587719193, 414241683, 665207758, -1, 322985873, -1, -1, 695207895, -1, -1, 456336907, 488078910, -1, 59654713, 5938001, -1, -1, 92357694, 153994655, 812763647, 368147277, 231192840, 407123290, 407591671, 944878456, 114716690, 253540990, 14059801, 773683116, 293168856, 637739461, 563119229, -1, 962668580, -1, 855012281, -1, -1, -1, 402529912, 284657816, 870204784, 71304083, 994972524, 340419705, 248740172, -1, -1, 655166330, -1, 369324751, 822871494, 153230108, -1, 560047708, -1, 739481614, -1, -1, 630869486, 5222068, 271780019, 314492450, 61171255, -1, -1, -1, 380264589, 583146397, 629362095, 689663441, 150585658, 121028727, 285552191, 127426160, 262437824, -1, 489472032, 218820795, 397210390, 653423516, 200434728, 139843866, 600414609, 230845711, -1, 763290908, 793866630, 367848654, -1, -1, 476840799, 739266264, -1, 152095299, -1, -1, 949029765, 178234326, -1, 333831398, 323040874, 262700407, -1, -1, 125897960, 544563293, 502991555, 935374950, -1, 287744900, 301864536, -1, -1, 641005820, 299462328, 44570168, -1, -1, 311693708, 452078315, 519471209, 876213052, 118437109, 476406809, 204950557, -1, 132269705, 563333316, 926901728, -1, -1, -1, 205220662, -1, 5821846, 636776468, 3125983, 956233993, 738391357, 684469695, -1, -1, -1, 144899833, 558369507, 261521052, 484777754, -1, 33700639, 937134222, 92319512, 665132760, -1, -1, 716233841, -1, 412767688, 535614916, 414669678, -1, 787481852, 844237225, 478767434, 330051695, 107331069, 736112791, 200962463, 930363757, 361476723, -1, 539989636, 677725372, 597785680, 358923939, -1, 744867791, 367722011, 528406810, -1, 207760447, -1, 938204561, 961351433, 41279150, 544404314, 72867527, -1, 611357533, 525924962, 217236589, 631819030, 431319864, 573684218, 587685628, -1, 565014688, 46458701, -1, 247086684, 438977825, 770214613, 451657967, 909873997, 257817986, 227446564, 351548691, -1, 960576147, 944442802, 146675421, 663581626, -1, 364536770, 59345003, 845990280, -1, 7250510, 179382148, -1, 84321189, 954339449, 882085089, 339791341, 705931858, 954049578, -1, 57916620, 917028497, 847194884, 838812635, 707730026, 450278808, 266986072, 838207154, -1, -1, 178396259, 762454302, 819621715, -1, 558887255, -1, -1, 19482980, 159039202, 573814653, 889744143, 687624092, 408305756, -1, 819420612, 162131151, 398087942, 790570300, 776628391, -1, 235786054, -1, -1, 396199285, -1, -1, 341784360, -1, 870686975, -1, 765569888, 135574201, -1, 435892135, 218441177, 957509691, 764272118, 771811718, 846321694, 608970981, 941850747, 628286830, -1, 128253764, 71009589, 771777025, 698667801, 757529013, 325044894, 480418387, -1, 210359527, 520147534, 917513148, -1, 223845229, 38960840, 924811719, 230117850, 785045133, 296030105, 143046045, -1, 4067177, 802793491, 725177649, 735021725, 916009318, -1, 347372152, 703196314, 915214777, 153016374, -1, 742815363, -1, 496252267, 543431994, -1, 358627726, 158427814, -1, 355537157, 641063142, 671678272, 103120992, -1, 899994647, 370447556, 514641110, -1, 473071908, 449377950, -1, 859534137, 815587096, -1, 605976303, 987764637, 667054524, 431649175, 225503181, 665433899, -1, 144209133, 944786078, -1, -1, 839969405, 408582905, 653146426, 958147471, 392587226, -1, 223860302, -1, 961553934, -1, 601677363, 551742156, 108352135, 399989145, -1, 65355158, 803242562, -1, -1, -1, 391057068, 775341664, -1, 909270907, 453900437, 436408333, 90922343, 406997401, 727153361, -1, 247335469, -1, 599741519, 311164495, 332389678, 163647124, 361054576, 867680555, 332481030, -1, 337048314, -1, 639085987, 607538706, 228447678, 366065040, -1, 2665782, -1, 190737744, -1, -1, 581637765, -1, -1, 885030829, -1, 82667033, 550415798, -1, -1, 321170629, 659261138, -1, 942413396, 859602837, -1, 540120730, 307423427, -1, 334652637, 385392167, 616937952, -1, 320035402, -1, 724167834, -1, 317017272, 824850278, 873265421, 338551018, -1, 314517053, 811963159, 128180481, 81038153, 82478800, 451640482, -1, 95329731, 527853618, 18569658, -1, 481244361, -1, -1, 249553977, 104721266, 467356250, -1, 580873560, -1, 114691694, -1, 23969720, 464873635, -1, 356219542, 513970926, 400259535, 185143371, 303558730, 165257720, 512876961, 844083309, 876651353, 833191503, 847534085, 36872673, 277473866, 399147415, -1, 44366383, 526811532, 426946913, 215098288, 41844128, 810593417, -1, -1, -1, -1, 630448501, 677390981, 760657789, -1, -1, -1, 875027802, 757972043, -1, 558826091, 393978845, 13826872, 111732616, 237377644, 500439715, 786190507, 645044234, 560215348, 966742617, 911273200, 741828797, 138936574, -1, 754355686, 251758561, -1, -1, -1, 719576092, 684132456, 554007690, 885506946, 525409680, 223399427, -1, 747371051, 794541130, -1, 472610148, 514578448, 71273640, 705302594, -1, 496364412, 894309705, 158429009, -1, 710616208, -1, 350251881, -1, -1, 457152055, -1, 16104284, -1, 328214346, 524847965, 893713226, 548729776, 129324698, -1, 736978891, 74955205, -1, 440830700, -1, -1, 601492742, 21254171, 777148408, 587878621, -1, 777654230, 411720896, 845895068, -1, 110341401, -1, 273742099, 998113321, -1, 620949947, -1, 583686194, 828789912, 845916027, -1, 394686480, 30578361, 81654563, 23511096, -1, 659352103, 134443703, -1, 523010419, 810560382, -1, 973834969, -1, 533606711, 246524501, 996288521, 503616358, -1, -1, 730932759, 416312666, 819353393, 915948760, 484419560, 234703885, -1, 21816002, 594611040, 424310950, 350079915, 820961283, -1, 894886444, 570359096, -1, 124990449, 188683671, -1, 443440753, 299135865, -1, 218753380, 491873990, 964154523, -1, -1, -1, -1, 955245796, -1, 654329982, -1, 450092611, 865357294, 250757773, -1, -1, 914451008, 959948997, -1, 894764011, -1, 594141967, 670442088, -1, 608247590, -1, 387589341, 938708940, 816227059, 812756712, 583374473, -1, -1, 777632236, -1, 177805500, -1, 826845841, 536442225, -1, 399186988, 525088327, 253803075, 329782596, -1, 665315768, 702381802, 38385214, -1, 104740893, -1, -1, -1, 318801934, 885758667, -1, -1, 911518657, 4708245, 285857908, 724744797, 448584830, 729477275, 149169006, 851467948, 249586289, -1, -1, -1, 791178304, 713790803, 952693297, 761801525, 192737250, -1, -1, 541766332, -1, 77171391, 730490225, -1, -1, -1, 234505095, -1, 858385870, 717067702, -1, 728843833, -1, 556586183, 744333808, -1, 494980181, -1, -1, 116396784, -1, 239532539, -1, 911541507, -1, -1, -1, 136875926, 3502578, 519202009, 586628039, -1, 286582035, 946638772, 52036928, 109022540, -1, 816318084, 536138894, 564431280, 718238472, -1, 818981850, 975509873, -1, 488838851, 426325079, 312895858, 310996982, -1, 24094394, -1, 649149205, 884072924, -1, 388134985, 657068148, 684174113, -1, -1, 277533018, -1, 82942015, 337875324, 877642283, 420909479, 73531119, -1, 217036349, 130800923, 669087442, -1, 35281129, 892790891, 650759177, 598171390, 490333360, 527764859, -1, 764821808, 238444540, -1, 453194496, 816510454, 889299385, 346723886, -1, 306034514, -1, -1, -1, 677203151, 198757072, -1, 945391914, -1, -1, 232537639, 773218962, 677069834, -1, 345335157, 422812096, -1, 766617231, 212837120, 75624618, -1, 547170681, 245921564, -1, 739776517, 315189019, -1, 478851209, 349799160, 714899975, 160890429, 244411911, -1, 230989366, 560519738, -1, -1, -1, 38322916, 994216906, -1, 701261670, -1, 825164453, 147662221, 442940839, -1, -1, 883146665, 86916192, 977907602, 288528691, 204333405, -1, 451761161, 524042361, 667013806, 198707820, 690266888, 675728780, -1, 964290264, 324419655, 235479404, -1, 1784476, 742328302, -1, 412233368, 78512838, 513063511, -1, -1, 690585112, 462928314, 931387359, 451655857, -1, 665354531, 895114201, 917605427, 423815166, 619025985, 345657447, -1, 393859655, -1, 352737624, -1, -1, 807905234, 373677051, 13021210, -1, 737795860, 443673616, 227135138, 263319509, 867589661, 483853384, -1, -1, 918837052, 504792979, 836342913, 936545681, 760447034, 196725569, -1, 735957034, 774117662, 940291731, 870605688, 628060931, -1, -1, -1, 858258408, 20102795, -1, 12738121, 250924865, -1, 498168071, 893440121, 986430536, -1, 976392173, -1, 899956630, 487253031, 931834859, -1, 242599063, -1, 243934448, 11648171, 115172878, 646966501, 24089025, 313356476, 510466551, 519862562, 807688751, -1, 672838068, 764682175, 945877224, 59099152, -1, 590504040, 567217734, -1, 876680413, 117367607, -1, 286732095, -1, 600449734, 189386504, 229025698, 395378915, 870288235, 271009693, 484464803, 367907303, 186463494, 653519228, 986039043, 641880972, 617895865, 196922190, 19277664, -1, 895765467, -1, 830264569, 892813446, 273637209, 881791900, 512632830, 612777777, 262590464, 719483268, 190248612, 624833893, 853210825, -1, 264568383, 27751000, 36978770, 175561771, 300930733, 355863449, 634459229, 145016520, 549137536, 741897320, 54351573, -1, 248074535, 843195976, -1, 120521617, 236067113, 782270618, 698763578, 341066302, -1, 642121616, 307443237, 361290695, 954844511, -1, -1, 787699525, 552052506, 890131074, 204215683, 304539799, 941404406, 32582603, 573613916, 681338609, 137400468, 224407648, 954291777, 963201455, -1, -1, 555297592, 624058942, 315690087, 92343445, 436600523, -1, 117085813, 548521990, -1, 267833762, 738180561, 506843570, 257807920, -1, 500239774, 191327694, 633279974, 117826286, 782916262, 142962352, 728950480, 596790698, 549122141, 116246651, 204730775, -1, 870167749, 563257075, 75184709, 260184279, 103982557, 45141122, 617614336, 824542831, 590181282, -1, 854225759, 30912878, 862201720, -1, 467967, 688266731, 913097278, 421456346, 333815797, 612517674, 735849728, -1, 359615401, -1, 570874195, 21731321, 751613390, 570608155, 72054628, 630487613, 733383363, -1, -1, -1, 599593273, 59424142, 322905850, -1, 903558034, 996865232, -1, 459019184, 998149751, -1, 493616905, 603007550, -1, 740809804, 510318262, -1, 455905160, -1, 12208056, 474114688, -1, 70056402, 32432767, 466010006, -1, 218337262, -1, 678374276, -1, -1, -1, 462818328, -1, 642277094, 811755830, -1, 427404601, 590299424, 360938723, 145756871, 259421158, -1, 873699086, 694582750, 595416904, -1, 560816493, -1, -1, -1, -1, 770815874, 485263008, -1, 633242683, -1, 393657950, 217798006, -1, -1, 718262819, -1, -1, 19185695, 789618828, 206122704, -1, -1, -1, 204358419, -1, 578837310, -1, 62388507, 242476124, 425342891, 951410377, 778202780, 552211428, 705633109, 716104726, 465984698, -1, 953826939, 871060626, -1, 153794766, -1, 963390516, -1, -1, 553664014, 799450528, 352072756, 476263014, -1, -1, 786716472, 401981924, -1, -1, -1, 428108776, 867676141, 423345014, 976559894, 123239846, 120383085, 685109848, 524256191, 510703926, 768904802, -1, -1, 65929210, 766067840, -1, 671186841, 770361382, -1, 324604675, 59048593, -1, 435927989, -1, 892532268, -1, -1, -1, 954463023, 122899450, 639447331, 291444179, 201024195, -1, 967595397, 243534584, 130753102, 416092048, -1, -1, 177820071, 592889029, 515238116, 930189741, 834392158, -1, 491766017, -1, 231045340, -1, 679108050, -1, -1, -1, 237159981, 852632654, -1, -1, -1, -1, 786635279, 243674895, 915170029, 6607156, 541940986, 921682742, 532756963, 535359626, 621769189, -1, 199244554, 835802246, 865183493, -1, 769342289, -1, 74282665, 626561583, -1, -1, 904315416, -1, -1, 314044569, 220761327, 34319101, 887083465, 857648866, 444212497, 321732187, 123698237, 675978856, 474756820, 691694790, -1, -1, 9646414, 382353707, 194546354, -1, 520952019, -1, 917640713, 616934858, 391172624, 187912155, -1, -1, 422135594, -1, 578305180, 571988422, 867071492, -1, 224641045, -1, -1, 934885992, 574175314, -1, 696840122, 814857707, 741882971, 615078436, 900255860, -1, -1, 139106419, -1, -1, 230561815, 785069489, 746598213, -1, -1, -1, -1, -1, -1, -1, 123957898, 650597220, 463432202, 160160044, -1, 354224652, 491524502, 965838827, 827889023, -1, 119211929, 426470362, 153939667, -1, 435907329, 328484113, 400411534, -1, 498033191, 360642948, 640482793, 331320224, -1, 151827858, 389029094, 689279828, 909093437, 207269147, 571279604, -1, 199346776, 218439750, 88703750, 591889133, 956458156, -1, -1, 142197270, -1, 431964180, -1, -1, 57217798, 329832298, 883081772, -1, -1, 272016681, 30118594, 193280352, 978892812, 478114288, -1, -1, 64734054, 906384885, 366137524, 194909769, 88496499, 851510189, 10726600, 418223473, -1, 338718309, 81944915, 725013266, 657602227, -1, 964406751, -1, 261986663, -1, 14763235, 689876063, -1, -1, -1, -1, -1, 200022005, -1, -1, -1, 538672893, -1, 969345951, -1, -1, 300999374, 546032989, 823223586, 414795042, 327840073, 35791008, 899347836, 495905414, 928672999, 855814545, 203638146, -1, 456543479, -1, 918750390, 626044605, 524288501, -1, -1, -1, 154377395, 649824612, 188121751, 411540763, 358269396, 801966272, 954308321, 62156837, -1, -1, 196990885, 850781921, 691590386, -1, 547939056, -1, 603895534, 836793408, 127080683, 345200162, -1, 157816330, 999673045, 412312724, 704880117, -1, -1, 13198998, -1, 42919021, -1, 335534563, 19451887, 525216844, 235310821, 600196134, 580270867, 75689523, 926673254, 403272492, 393528723, -1, 44489338, 746398700, 29114273, -1, 587360241, 872993836, -1, 23418726, 784873638, 711717504, -1, 674556388, -1, 423955689, 837652903, 776709861, -1, 111581846, 143012813, 987390201, 482298708, -1, 553168810, 184088269, 692656116, 598046011, -1, 965054633, 50031512, 824963352, -1, 116453829, 418227618, 837334919, -1, 800949784, 654008758, -1, 935382296, -1, 975680211, 264678313, -1, 989740445, -1, -1, -1, 733405396, 84581019, 872666100, 323435532, 754307973, -1, 762011341, -1, 227581849, 952939472, 930201255, 626412400, 876923985, -1, 232905232, 463102302, 474064630, 123816868, 490504599, -1, 71045242, -1, -1, -1, 409278509, -1, -1, 471218305, 215324170, -1, 999680221, 589528181, -1, 485960044, 118407682, -1, -1, 918143993, -1, 403407764, 412393844, 378202718, 868584650, 874521357, 981112045, 666226054, 464945901, 459742098, 811615720, 737650260, 146463799, 901352058, 223846937, 442416018, 614018043, 866564738, 817618711, 859000906, 227174248, 286945143, 988371107, -1, -1, 101491944, 120585097, 878907240, -1, 192986356, -1, 769979700, 9568611, -1, 132352078, 361077110, -1, -1, 354506168, -1, -1, 591278981, 773390231, 219918442, 813778940, 772063002, -1, -1, -1, 921378791, 724671044, -1, 987129750, -1, -1, 66635536, -1, 72484466, 933706496, 621619105, 959012610, -1, 490109314, 27970811, 86372489, 507691147, -1, 763780560, 464845189, -1, 122202159, 607702412, -1, 478574444, 69305140, 323723330, -1, -1, 562139457, 409181141, 671608429, -1, 879520563, 717140627, 231550881, 746823696, -1, 910346070, -1, 958549841, 930622109, 569264584, 859855617, 653673758, 237626675, -1, 725880834, 590778796, -1, 445828445, 761270837, 466682195, 399641845, 432997026, -1, 728346587, -1, -1, -1, 609185267, -1, -1, 465603928, 80062091, -1, 518210993, 868539153, 765223964, -1, 553732772, -1, 788051906, 337560963, 937331666, 67452004, -1, 489074556, 452096714, 738500820, -1, 12309081, 898157895, 352336790, -1, 654392311, -1, 182705100, 206656305, 975627967, -1, 648219500, -1, 392217474, 636361464, 572791541, -1, -1, 794025565, 613579437, 942870469, 264204768, -1, 417301079, 374016862, 956508195, 177119644, 399170016, -1, 147678476, 664348841, -1, -1, -1, 101909949, 95291160, 327621887, 132101154, 319687917, 483253535, -1, 715471569, 160935716, -1, 721315757, 478552761, 904720028, 463920145, 514310278, 861521105, 520300923, 516901919, 873622708, 70910733, 876616311, 299851066, -1, 685346520, -1, 850142692, 827737522, 454668876, -1, 939302521, 222445810, -1, 406765936, 281151270, 947436430, 985556496, -1, -1, -1, 401186495, 378167447, 769725116, 572453898, 331915977, 481263047, -1, 501710303, -1, 924735028, 35745255, 756518320, 587696712, 746535586, 857767865, 420462562, 373336571, 396773601, -1, 378473926, -1, -1, -1, -1, 904399660, 720494777, -1, 650064199, -1, 545036262, -1, 764095665, 559434933, 810717137, 825634754, 860448876, 351447106, 877904439, 588609475, -1, 296598826, -1, 964769327, 360616430, 685634875, 773992575, 994162552, 665581308, 534882596, 887997708, 473022780, -1, 839695217, -1, 976585559, 553426611, -1, 762490005, 108322250, 121357578, 27561638, 435166803, 492580040, 467801598, 711355300, 497664875, 656194958, 298072063, 778290340, 93590759, -1, -1, 955640051, 64878846, 988152146, -1, 576412902, -1, 6419376, 729240623, 910315572, 893550062, 989261129, 870708547, 18883871, 228335060, 543106965, 280905477, -1, 148190477, 247992103, -1, 7973057, 109648888, -1, 195379448, 980370060, 871984001, -1, 457588525, -1, 725899479, -1, 693555421, 460290463, 679683371, 292437801, 509292346, 348414561, 438059233, 257750717, 487502636, 305955960, -1, 687170316, -1, -1, -1, -1, -1, 321294370, -1, 716554929, 358181798, 871622123, 722426901, 273071605, -1, -1, -1, 412983763, 497249691, 700778134, 111853648, -1, -1, -1, 407983983, -1, -1, -1, -1, -1, 156915250, 183115000, -1, -1, 415437979, 357123276, -1, 673934857, 306648718, -1, 518847548, 478607805, 520369780, -1, -1, 361813205, 738965763, 590125961, -1, 536844787, -1, 251808669, 989706806, 772518888, -1, 717581122, 416536561, 791232082, 330141587, 223118334, 816083202, 404429781, -1, 185598151, 165497002, 595473231, 36486788, 546066938, 834348967, 701215184, -1, 790034384, 179217095, 90885493, 870352537, 84767143, -1, 292923014, 50886699, 585404261, -1, 49249867, 652504820, -1, 382439727, 47228332, -1, 839736194, 820878412, 501143950, 155144742, -1, 959847237, 701800301, 756962047, 279129785, 703241672, 947817946, -1, 768837880, 331367148, 533900692, -1, 535767785, -1, -1, 102948347, -1, -1, 112905030, -1, 824987221, -1, 423343289, 206419382, 105409148, 536834937, 152710369, 120485758, 516454231, -1, 496695885, 461260457, -1, 477380148, 375898504, 316772742, 146278920, 631797797, 882788028, 302385286, -1, 403365036, 304137356, -1, -1, 217452384, 241287008, 629479355, 805060662, -1, 138396642, -1, -1, -1, 510743292, 697064803, -1, 638759591, -1, 57453394, -1, 570377916, -1, 7203086, 810349766, 239887288, -1, 12573561, 715596315, 438215715, 730751753, 942049176, -1, -1, 880800782, 388506764, 175492688, 503217276, 479666205, 217882004, 59170758, 427749618, -1, -1, 907151038, 138778703, 58036980, 693714790, 111285897, 876106109, -1, 36985812, 416131434, -1, 367135815, 280127538, -1, -1, -1, -1, 911905949, 103579261, -1, 483817409, 897116362, 623784543, 100901047, 892858432, 247051543, 245972416, -1, 378699817, 241936491, -1, 216565983, 69527525, -1, -1, 463290593, 946798413, 199146813, 147801371, 593849285, 19841837, 421799172, 355784774, 25992347, -1, 430708137, 419988234, 947083332, 516468122, 239581032, 279373740, -1, 830169997, 25023130, -1, 586866941, 524439814, 675986857, 886828641, -1, 103403088, -1, 165215446, -1, 503388842, -1, -1, 311795120, 955525257, -1, 819826773, 866984767, 806388190, 976656609, 382016340, 472957867, -1, 518785714, 142034072, -1, 967159846, 578796391, 955591196, -1, 756507596, 99226084, 37193297, 395800101, 945504896, -1, -1, 420977604, 838486645, 911735197, 817722298, 502163832, -1, -1, 133821070, 392146842, 358479093, 273414586, -1, 435656818, 173360280, -1, -1, 756185281, 908230259, 512959472, -1, 691290409, 313228115, 169288379, 747718589, 704875622, 443749996, -1, -1, 618261548, 242038796, 753089052, 475580104, 534088250, 741334062, 385324056, 668132690, 601377163, 817946690, 366510362, 97659197, 586983877, -1, -1, 966594914, 407446707, 199100969, 379382199, -1, 849847973, 580799177, 515668576, 656800757, -1, -1, 96939093, -1, -1, 985198169, 373886599, 492486718, -1, 962186495, -1, 894948973, 268947597, -1, -1, 807923615, -1, -1, 946983227, 291886892, 565592135, 693146403, -1, 447919382, 104979784, 663234335, 58422019, 891096483, -1, 105190853, 264263733, 5511429, -1, -1, -1, 977530248, 417153751, 541409441, -1, 405928021, -1, -1, -1, 266083273, -1, 702335707, 738688943, 391489863, 468233308, 663438993, 844679517, -1, 385715773, -1, 429655220, 263756125, 285879196, 517267978, 512170206, 6306512, 14317421, 511839082, -1, 663839612, 32011319, 473981993, 678698109, 883172743, 898562464, -1, 918233677, 946429945, 467462788, 61079264, 346584252, 733609761, 106474865, -1, -1, 353573710, 130127415, 225987823, -1, 738224742, 916523813, 488667757, 783103603, 297420867, -1, -1, -1, 432484393, 112352938, 394529392, 12949020, -1, 203105296, 18037863, 587247822, -1, 396757808, 397955608, -1, -1, 39021004, 961369437, 46074808, -1, -1, 40833784, -1, 288579550, -1, 652191442, 917928091, -1, 912395486, -1, 166651181, -1, -1, 330281093, 16174310, -1, -1, 953651197, 530642497, -1, -1, -1, -1, -1, -1, 395841808, 183187555, 413553502, -1, 555046225, 351636826, 545601830, 915200616, -1, -1, 928679212, 388455338, 767523653, -1, -1, -1, 133826868, 765201868, -1, 360069314, 981908025, 77174749, 700551787, 206916204, 880706338, 796880576, 697434270, -1, 321064291, -1, -1, 693480617, 401133184, -1, 269970289, 704370914, 167417123, 880132514, -1, -1, 276160655, 76522121, 965352653, 79412867, 1307137, 943145225, 261443624, 832102965, -1, 313528527, 123011040, 796986682, 669434573, -1, 141917246, 760083817, -1, 466241611, 91004706, 804569880, 286687429, -1, -1, 789191400, 982225627, 961348579, 996749196, 664571377, 660658146, 885359543, -1, 162720536, 788515117, 310670292, 898329892, 265133961, 422084514, 530139003, 424997620, 48968873, -1, 124246867, 653143129, 425387455, -1, -1, 410516550, 42207289, 722406326, 738414131, 30541526, -1, -1, -1, 169350897, 476783992, 269650248, -1, -1, 798949531, -1, 230635063, 81132108, -1, 533696463, 469034557, 374019910, -1, 377014406, -1, -1, 711832596, -1, 765902508, 824634645, 741234112, 205441380, -1, 191120956, 516626303, 947344986, 176096501, 351127808, 228067385, 594653149, 797535054, -1, 911076089, 844344475, 618982205, 210198323, 19744075, -1, -1, 593974225, 189075893, 940579189, 857225314, 374825920, 909450509, 592288322, 325885162, 663237702, 466519321, -1, -1, -1, 192978760, 85615854, 979219066, 862796067, 338783995, 426302454, 481020508, -1, 666699756, 182818925, 495974495, 913859577, -1, -1, 642121607, 210238744, 334717984, -1, 261069561, 960052955, -1, -1, 215828212, 954017656, -1, 567144038, 394916446, -1, -1, 36439404, -1, 262674313, -1, 138955565, 357616996, 862214578, 996090222, 808446471, 126961796, 530608374, 289961642, 291668772, 993956090, -1, 669928617, 192405182, 537486774, -1, 597726707, -1, -1, 144446723, -1, 690118221, 599923936, 547507916, 843142591, 232738467, 634883743, 898162147, 27499907, 213980430, 880345154, 340300043, 47589508, 232930854, -1, -1, 328702928, 965431301, 194517877, -1, -1, 155094257, -1, 877739766, 686727772, 629081157, 594765149, 260849312, 634062321, -1, 674020692, 217215001, -1, 417471647, -1, -1, 196396566, 959771599, 179029115, -1, 509525813, 215645359, 317290711, 433212161, 375193862, 267145724, 142115322, 318310056, 633747242, 477779596, 98385895, -1, 114166837, -1, 225862778, -1, 838095462, 336092823, 51848394, -1, 495622390, 83153747, -1, 224623414, 977465749, 809993383, -1, 730270408, 415821902, 879930611, 99142352, 436799463, 49727021, -1, -1, 814290158, 883337571, 293692502, -1, -1, 646183297, -1, 661264790, 47513928, -1, 314488127, -1, -1, 555344314, 390746038, 369294681, 360051511, 917851793, 152195878, 335307671, -1, 917989498, 681589744, -1, 490225181, 218121142, 689449245, -1, 178807411, -1, 683282914, 422423326, -1, 379460096, 206842901, -1, -1, 582968160, -1, 815429134, 687644594, 316509210, 336304837, 254073214, -1, 667768656, 811581336, 578017387, 445021689, 71967153, -1, -1, -1, 262627228, 826137480, 593889361, 859776711, 972963194, 534107931, 756233806, 896903517, 465672094, -1, 997517163, 98511477, 461841047, 82093963, 732422510, -1, 923762413, 639495887, 811198539, -1, 986361878, 590510233, 470304636, 731313055, -1, 839179455, 686461616, 957193519, -1, 572863605, 736863581, 125106243, -1, -1, -1, -1, 168298999, 980666614, 677065999, -1, 947952598, 222820166, -1, -1, -1, 725032962, 662098785, 215978713, 448109612, -1, -1, 666315605, 973689819, 671145723, 566711796, 145453502, -1, 576437891, -1, 664472332, 650228957, 397973849, -1, 943851324, 760372554, -1, 182866532, 425176486, 522285784, 92561577, 620044518, 130604050, 170104418, 626697892, 741641176, -1, 886932749, 209579601, 375973983, 963786957, -1, 270217913, 209433540, -1, 712452635, 426133730, 65557744, -1, 684214049, 713031905, 434858780, 536124167, 24638465, 871866261, 399665078, 148481434, 950332364, 899006555, 849882124, -1, 976407901, 286365138, 363600036, 772468551, -1, 128651194, 80534683, 910981900, 744762154, -1, -1, 136468132, 165377894, 898295881, 34140186, 235784549, 566734635, 526399010, 941409488, 634917616, 686768871, 502541291, 634374361, 176117443, 839463628, -1, -1, 807788412, 255634969, 109463109, 283266327, 612690362, 647322881, 652648736, -1, -1, 552704670, -1, -1, -1, 165243936, -1, 776944941, 438948950, -1, -1, 703089191, 903599073, 916757595, 220062314, 383076305, 231121523, 534995270, 636185707, 2244581, -1, 960840812, 22590748, -1, 914176906, 566885167, 198423333, 271995537, 726634155, -1, -1, -1, 285348806, 100836287, -1, 867714521, 441208800, -1, 123270330, 28003344, 273379263, 593872200, 152697303, 78700973, -1, 199718697, 716005378, 299224432, -1, -1, 932977076, 667052412, 682089093, -1, 430532768, -1, -1, -1, -1, -1, 53363528, -1, -1, 671778993, 69623504, 58348532, 445675004, 34337138, 331590277, 243682968, 691425462, 199173951, 59486029, 7094846, 259124742, 546949870, 683475603, 808695402, -1, 762908293, 829471256, -1, -1, -1, 25947504, 105398093, 578845952, -1, 610441997, 250037553, 864117310, -1, -1, -1, -1, 848209169, 192270540, 804323748, 747493394, 420197415, 404882330, -1, 290560186, 423531970, -1, -1, -1, -1, 198363349, 758763201, 9548546, 820679184, -1, -1, 375793589, -1, 714875144, 555649049, 692049149, 416572103, 661293673, -1, 148190838, 497910429, -1, 634982592, -1, 281670286, 50966360, -1, -1, -1, 717602173, 781675794, -1, 963782659, 191894785, 381257440, 839384857, 944108261, 868153372, 105808137, 404458233, -1, 853429326, 554109250, 874447778, 526342776, -1, 186459699, 539190876, -1, 99741684, 572980372, -1, 601383623, -1, -1, -1, 127345081, 560876239, 835556133, 752033217, 664083931, 301203387, 975875732, 218613209, 522924220, 688350489, -1, 380331896, -1, 653384481, 919024268, 884957165, 645290046, 297716619, -1, 84246401, 3750316, 29043057, -1, 567690188, 124393983, -1, -1, 510595662, 985984310, 243300831, 489074788, 826904489, 580034978, 168790757, 82107889, 826203269, -1, 280388470, -1, 862506256, 701645837, -1, -1, -1, 746034193, 746929920, 702858423, 898360451, -1, -1, -1, 965542784, 748758871, -1, 166854415, 947360113, 630425383, -1, -1, 119090273, 435086396, 180832625, 911937947, 709837994, 521943417, 656756932, -1, -1, 631083539, 204945659, 724670218, 818732809, -1, 551244721, 122607992, 4495176, 711640979, 662381820, 34243730, -1, 514603791, 942463263, -1, 696635118, -1, 246093796, 424287916, 950413637, -1, -1, 729259405, 159788014, 604156628, 652774400, -1, -1, 75092133, -1, 717147985, 770141253, 836257809, -1, -1, 830609585, -1, 61452187, 197673711, 399357366, -1, -1, -1, 651571726, 374813295, 105559605, -1, 423444931, 103566300, 427077445, -1, -1, -1, 444437990, 991864282, 537966297, -1, -1, 10037644, 563507084, 773316971, 649078556, 847211678, -1, 273105568, -1, 95564884, 212458102, -1, 854195190, -1, 409965897, 324838808, -1, -1, 301348605, 494490640, -1, -1, 998485831, 148644562, -1, -1, -1, 67624879, 795362692, 849705392, 321185764, 790841412, -1, -1, -1, 540159036, 54832833, 245358571, -1, 114084021, -1, 460442674, 587502616, 608395849, -1, 435639667, 294144257, -1, -1, -1, -1, -1, 840944685, 791448812, -1, 339836479, 925187647, -1, 136717254, 498241061, -1, 943000481, 432114110, 292349756, 768216512, -1, -1, 47727573, 364281135, 781504815, 325967895, 878920071, 460010958, -1, 361465557, 581214959, 392726770, 724028226, 85812807, 395507465, 731739707, 431977048, -1, 309095595, 652092052, 936929465, 422740696, -1, 299149601, 862805652, 739771879, -1, 93859415, 319122855, 184547111, -1, 893356196, 628168259, 253151196, -1, 446985311, -1, 27650416, -1, 392398004, 602662593, 23113549, 939259453, -1, 329012486, 104950352, 514324688, -1, 975931756, -1, 370112601, 126980297, 397417257, 146390150, 525764434, 63733821, 577340820, 431777988, -1, 587194581, 177354322, 999640924, 509918960, 550197013, -1, -1, 574351736, 729024167, -1, 821244351, 463983198, 904301415, 37467533, 941886472, -1, -1, 526399126, 39819914, 54165981, 567792501, 339810363, -1, 752364658, -1, 253911562, 188506571, 879024997, 973934110, 489696096, -1, -1, 562689281, 251585692, 668929758, -1, 990930117, -1, 958492575, 748788425, 18876682, -1, 630618128, 954590172, 738142451, 265453959, 936962623, 294244060, -1, 202421652, 129132480, -1, 290962542, -1, 883036535, 884371447, -1, 22782482, 223150462, 109196022, 453441302, 556325625, 387523268, 382396031, 585204177, -1, 702202744, 457892188, 128930159, -1, -1, 84705796, 871240931, 331445404, 426495805, -1, 64585976, 594391848, 979265813, -1, 489998206, 917869914, 640341312, 873570379, 225099339, -1, 486153896, 723097246, -1, -1, 574442466, 182220602, -1, 514609667, 700081904, -1, 11640580, 972493022, 715806971, 911162859, 674866768, 461041863, 637355684, 457025181, 912748560, 403498337, 717193386, 690056000, 309567821, 445007106, 955318878, -1, -1, 169765573, 358903675, 265250591, -1, -1, 666177488, -1, 727154822, 442649465, 895650199, 901808600, 51119527, 981293401, 933416472, -1, 10940312, 481027443, 220319305, 267679653, 453658571, -1, 767303222, 434341855, 447204833, -1, 768272251, 779210359, -1, 448758398, -1, 63850284, 464301010, -1, 16358829, 660660158, 104997278, 39002459, 924674886, 463821282, 170780111, 925401596, 194812448, 283784569, 228008115, 216979733, -1, -1, 714637252, 988963609, -1, 954024545, 315942169, 290471128, 164744144, -1, 270884654, 515023525, 764025183, 500815585, 91304649, -1, -1, 964267544, -1, 894705457, -1, 611134897, 977881630, -1, 372269268, -1, -1, 532667495, -1, 826728958, 892822758, 610293887, 625848664, 491408455, 301563136, -1, -1, 744780257, -1, -1, -1, 310471869, 712947766, -1, -1, 538980487, 971189568, 791171532, -1, 315782337, 376650693, -1, 865412458, -1, -1, 126745600, 546817451, 667838566, -1, -1, 640261027, -1, 45601632, -1, -1, 260860688, -1, 993509732, -1, -1, -1, 598351280, 852104514, 178889881, 799580470, -1, 156090897, 92853858, 272086256, 798229877, 820728308, 643101122, 426158251, 642054223, 440310359, 935218362, 736369785, 890827877, -1, 9220539, -1, 202104, -1, -1, 933791973, -1, -1, 771591051, 105744908, 317393354, 954653387, 417192312, 631288592, 221325764, 634432849, 12413742, 369122900, 182220466, 194962671, 197634924, -1, -1, 755315653, 45189345, 135821405, -1, 430025314, -1, 904384745, -1, 666954051, -1, -1, 893917053, -1, -1, 836579680, 696153016, 433990229, 254421378, -1, -1, 210676147, 835671050, 759216313, 330472926, -1, 906328285, 468326379, 955424827, 386081197, 993422040, -1, -1, -1, 987888708, -1, -1, 958031946, 663154408, 411206007, 65985192, -1, 152333629, 114127848, 12172128, 473984777, 405287874, 921488062, 533381405, 81582402, 194735190, 549864211, 252533319, 163509102, 96148337, -1, -1, 490337025, 607530115, 803896489, -1, 417100150, 828320722, -1, 525797329, 155231986, -1, 212205528, -1, -1, -1, 3613279, 295270615, 849945930, 388257053, -1, 822675587, 94363835, 700697379, 11218636, 995627742, 572721624, -1, -1, -1, 766209973, -1, 917942791, -1, 678840618, -1, 167116694, 957724585, 835799607, 259473255, 536833646, 932688907, -1, 672699232, -1, 154707272, -1, 596022721, 776677339, 627146354, -1, 986674991, 858620057, 668655576, 406736724, 387335234, -1, 901134417, -1, -1, 646780495, -1, 633582143, -1, 715403644, 555756067, 192464599, -1, 48748863, -1, 872036381, -1, 300815528, -1, -1, 968689687, 721219727, -1, 718686822, 371377480, 732854419, 974389327, 232951148, -1, 654185763, -1, 355154409, 48840542, 533408171, 913841960, -1, 316861944, 922338620, 838573206, 177703448, 510263093, -1, 717195832, 681979975, 313142627, 960566466, 306519201, 792645959, -1, 134264271, -1, 214866694, 293307963, 985491846, -1, -1, -1, 967495811, 418213153, 205297924, -1, -1, 62371671, 779131266, 879617752, 868788116, -1, 194421000, 449164746, -1, 915616961, -1, 760963292, 668745617, -1, -1, 586146810, 303500150, 53615997, 254815908, -1, -1, -1, 662099175, 7397962, -1, 234188150, 551527487, 506245552, 403862635, -1, 686271985, 790306857, 185327730, 904656673, 731987070, 386581118, -1, 219102321, -1, 477690565, 141164191, -1, -1, 450217995, 387346830, 646783087, 890336274, -1, -1, 908489536, 339460618, 836777891, 87687570, -1, -1, 133120592, 503789942, -1, 746596025, -1, 402428135, -1, 160707943, 57059170, 295872696, 383883568, 257079299, -1, 664213525, 825520539, 616128782, 921126058, -1, 144766247, 989879336, -1, 709282652, -1, 510143592, 301424760, 892847044, 902460192, 462531465, 434856981, 248454419, 842944653, 989361569, 967614111, -1, -1, -1, 240515444, 320131593, -1, 833093834, 355522115, 426064531, -1, -1, 709376728, -1, -1, -1, -1, 291915523, 522844797, -1, 221907021, 401433332, -1, 982964523, -1, 791530574, -1, 563720627, -1, 353226794, 971922013, 717153482, 412916021, 222265317, 830022031, 762609915, -1, -1, 13911988, 244169328, 542309690, 797011306, -1, -1, 864589212, 290322196, -1, 206637556, -1, 314453302, -1, -1, -1, -1, 249558220, 759996379, 707376072, -1, 976240347, 901725565, 644068285, 818137622, -1, 646915646, 801509160, -1, 288192744, 658069868, 337478297, 524836552, -1, -1, 861801101, 242125830, 771318901, -1, -1, 722884243, 507199210, 368346273, -1, 873981061, 423397008, 802832223, 364125002, -1, -1, 671009868, -1, -1, 700464560, -1, 771173669, 566736907, 926742809, 274756189, -1, 102314358, 937415422, -1, -1, 469588642, 513755876, -1, 395393167, 945104976, -1, 694355380, -1, -1, 641613883, 723538842, -1, -1, 812628161, -1, -1, 458179337, 375260016, -1, -1, -1, 611838670, 939332708, 727688052, 26489326, 397687371, 3104158, 756580619, 713557540, 289783614, 967522712, 475510910, 755719768, 928409366, 102710432, -1, -1, 175453930, 547921471, -1, 207999390, 718071151, -1, 68655552, 927129216, 290304194, 530854282, 291318020, 367910974, 447217475, -1, -1, -1, 919104463, 45708963, 320091584, 992289093, -1, 819926689, 933877619, 65835319, 233006104, 975691839, 793248598, -1, -1, -1, -1, 966586758, 433897367, 580471649, 421710614, 833540556, -1, 407314728, -1, 646905209, 81167006, 736471849, 579801254, 362247035, -1, 961759293, 698788214, -1, 866179220, 779723442, 291341738, -1, 724624638, 825992217, 706022324, 245242471, 234325895, 469734905, -1, 82094602, 286595418, 412222795, 860316106, -1, 957536382, 377157358, 941251776, -1, 963649387, 923546444, 23636053, 550628982, 748320762, -1, 672503770, 752149420, -1, 545736967, 872355339, 628282881, 263737766, -1, 92100523, 421432335, -1, 575340834, -1, 537934838, 776470500, 245482480, 346237578, -1, 610350466, 565964304, -1, -1, 315143985, 898872333, -1, 466774476, 661640770, 231462370, 83156846, 857910487, 419863510, 836644760, -1, 429057617, -1, 8368599, -1, -1, 845466352, 653709345, -1, -1, -1, 723196243, -1, 622275782, 8043904, -1, 493163844, 357617341, 78577187, -1, 392497290, 26216002, -1, 157363969, 286627267, -1, 499165411, -1, 160761808, 789264381, 230830138, 727585127, 191558103, 126962930, 10091142, 324666407, 94910257, -1, 858629931, 817376920, 372626515, 788148817, 130632484, 2303096, -1, -1, 842718160, 13566181, 884753537, -1, 761221789, -1, -1, -1, 645137559, 119256295, 966876032, 23915256, -1, 218738789, 583494193, -1, 657620403, 899659216, 648676489, 829472460, 483144695, 627468271, 740517553, 571005060, 16353702, -1, 26754349, 541949381, -1, -1, 806743384, 646508836, 145782414, 245998199, 597445622, 373790579, 456505143, 928024058, -1, 735081920, 638368417, -1, 132735068, -1, 828618473, 197658282, 926032271, 647724243, 911280890, -1, -1, -1, 182569568, -1, 768207490, 432563052, -1, 22436909, 672785436, 974574759, 463980519, 383908996, 785677393, 604272248, 33840024, 388414279, 87452592, 654191873, 48081016, 629975036, 67518268, 211339975, 290003548, 646232166, 68701888, 262730369, 906167690, 971785990, 733819757, -1, 610417370, -1, 790424568, 728958997, -1, -1, 533479154, -1, 803729533, 570143433, 150074322, 370226789, -1, 16853221, 560782853, -1, 965352893, 303295307, 188369708, -1, 663531055, 176945300, 761571263, 595837745, -1, 15565963, 80785373, 491892326, -1, -1, 481217141, 361446952, 966329102, 687548098, 96191346, 761949718, 965321742, 716333042, 763282826, 48572203, 828476157, -1, 838073448, 361594185, 634051594, 403378653, 806629505, 926996826, 184556704, -1, 476144083, 107801828, 136503479, 157498654, -1, 786752994, 770631731, 453281935, 459701228, 791843450, -1, 519665354, -1, -1, 135822068, -1, -1, 210121099, 44353014, 698222576, 31697709, 887960839, 469374430, 962529515, 677548050, 589608628, 274040502, -1, -1, -1, 7737655, 857979054, 517953589, 372873770, 382508476, 317803858, 756737095, 372614462, 70936948, -1, 241221981, 284875483, -1, -1, -1, 7682237, 942537291, 130604034, 165244143, -1, 575951025, 934577950, 242895857, 471271771, -1, -1, 507098274, -1, 712081847, -1, 175057816, -1, -1, 708459835, 369668678, -1, 375679863, 660270151, 215207529, 890760152, 20114305, 412143667, 43305339, 892827012, 566922682, 305610717, -1, -1, 891023896, 862797396, -1, -1, 572162253, 406391766, -1, -1, 481109402, 897569324, 952064535, 271496954, -1, -1, 768977622, -1, 76522848, 105756356, 325889517, -1, 951548152, 252077881, 694779570, 29499915, 724979283, 53266049, -1, 160516965, 701755687, 949217962, -1, -1, 856303645, 538284576, 984243526, 67456864, -1, 907099486, -1, 11485843, 127544781, -1, 202140713, 646335160, -1, 528192361, -1, 130373196, -1, 765841772, 996124971, -1, -1, 86890264, 88209287, -1, 267052454, 559251896, 206757180, 412270331, 429991311, 164131338, 309689705, 710529087, 578541828, 769678630, 3447198, 838415891, 612381859, -1, 198822311, 286040912, 538257861, 864486496, 487577689, 356678418, 947806531, -1, 711961474, 216062114, 102480222, 116561805, 776377536, 495654159, 489411713, 254339072, 944064582, -1, 214007201, 401594134, 911340763, 322740394, 208185561, 249315381, -1, 52826892, 235967347, 433308251, -1, 963415598, 560469221, 178820601, 27133245, -1, 142062300, 516523877, -1, -1, 885525456, 876255130, -1, 562142151, -1, -1, 909412573, 375888197, -1, -1, 634249536, 980336805, 847954308, 508627969, 828013015, 97961490, -1, -1, 111319898, 880387016, 604216725, 401773449, 559919179, 362902361, -1, 142392541, 505542923, 665702081, 539617036, 747203199, -1, 88186495, 434359393, 21471921, -1, 793794376, 757377661, 732523849, 233757181, -1, 763797431, 768885852, -1, -1, 943682793, 620009646, 373988660, 477201320, -1, 522126953, 533667039, -1, 92782399, 273563120, -1, 27346286, -1, 418700785, -1, -1, 337197694, 2527165, -1, 517832767, 184117064, 831237797, 152665286, 277169465, 914210560, 770928287, 495584632, 615564194, 713473235, 82608523, 427583904, 647341259, 636143453, 351140117, 643279525, 403665686, 46634091, 37899800, 631280255, 356143396, 664979271, 487488100, 846900301, -1, 869005454, 824842969, 941319742, 28417813, 209198853, 985650154, -1, -1, 289514591, -1, -1, -1, 358352201, 675904984, -1, 436282943, -1, 433355502, 264758278, -1, 421179665, -1, 97176292, 560626627, 145777788, 409502533, 61480627, -1, -1, 794170068, 765870381, 106174024, 863131434, 231566820, 853586099, 532872757, -1, 488657225, 249184602, 763751090, 616630834, 947507086, -1, 874828757, 953328033, 971895980, 429111042, -1, 280751440, 608631975, 897119391, 699789621, 438121270, -1, -1, 834467354, 965441225, -1, 253942127, -1, 329467200, 925126709, -1, 662918133, 358975085, -1, 504488406, 715067263, -1, 883715991, 947765167, -1, -1, 893761607, 721952157, -1, -1, 911594439, 339969128, 305358831, -1, 201007535, 86910707, 76366790, -1, 589166206, -1, 253578700, -1, -1, 128544116, 756516939, -1, 794735699, 232643055, 504461863, 225564910, 244158536, -1, -1, -1, -1, -1, 69209812, 456931112, -1, 85447733, 480967923, 238108452, 602113413, 672933398, 501014651, -1, 687792994, -1, 48348844, 896390449, -1, -1, 388750433, 621933791, 609962308, -1, 518352536, 962890453, -1, -1, 207471998, 535270204, 933362454, 162103953, 623457050, 537019962, 474480540, -1, -1, 916192725, 465719047, -1, 510002512, 52285681, 541436811, 631845035, 711254808, 617984703, -1, 851322680, 879789608, 600999765, 245020123, 764349899, -1, -1, -1, 796149979, 426395670, 151795726, 280198738, 686843698, 42306913, 666814747, 263948023, 9519391, -1, 490802646, 136701699, 142796649, 879960022, 986309289, 377005096, -1, -1, -1, -1, 428295880, 266167296, -1, 855330213, -1, 875440400, 484795831, -1, 402129043, 602063500, 137878053, 467117346, 833648670, 865115999, -1, 319166683, 974492051, 963700190, 718715834, -1, -1, 998408056, -1, 961576537, -1, -1, 339056201, 756882618, -1, -1, -1, 237407267, 460622502, 341305947, 759341649, -1, 168283816, -1, 464607460, 960265788, 927452093, 686297136, 419596623, 532081743, 552226136, 420955953, 130440372, 525081382, 600228314, 228901991, -1, 395067027, -1, -1, 800747164, 937250266, -1, 342534017, 361975903, 939503341, 654844884, 894254154, -1, -1, 152394824, 9190316, -1, -1, -1, -1, 394257855, 791137688, 117689328, 3624331, 461856372, 322080130, 75185887, 568443555, 472937144, -1, -1, 24685842, 578229238, 243671530, -1, 78723186, -1, 186667906, -1, 896408875, -1, 133531721, -1, 971178872, 881668547, 117446311, 447405635, 549730264, 538517837, 460788406, -1, 64858321, -1, 617804905, 176734867, -1, 452577227, 119247629, -1, 707072956, -1, 63512718, 635174809, -1, 730620220, 894605053, 446465511, 170024130, 856805683, 7288622, -1, -1, 803434859, 336912946, 564957476, 243245339, 138784253, 664413295, -1, 565425259, 896728467, 60034176, -1, -1, 333192988, -1, 576375566, 433826154, -1, 777383559, 922268509, 735646648, 677641094, 107642115, 296988615, 589525795, 773832537, 727078020, 230316179, 547129609, 903519435, 458324745, 558075127, 426559526, 207796484, 786899288, 371165469, 929075972, 482931577, 816756449, 602247522, 931081493, 724249823, 476178599, 261092069, -1, -1, 676999624, 188578593, 236273550, 563302873, -1, -1, 356857010, -1, -1, -1, 772208179, -1, 870252541, 373702063, 865655546, -1, 459944984, 918358270, 30993427, 841688782, 818945929, -1, 906050461, 251499605, 995063478, -1, -1, 719204230, 815250021, -1, 385332588, -1, 908111602, 475859588, 225092710, 156906022, -1, 292962953, 276638587, 592832214, 768309516, 130101638, 769996780, -1, 933141098, 523671616, 898664519, -1, 241939902, 7812393, 809409714, 154191232, 653933274, 46736035, 875665041, 951243018, 336898181, -1, 71832556, 885635243, 244786517, -1, 346122824, 720757047, -1, -1, -1, 39256114, -1, -1, -1, 948967151, -1, -1, 963436615, 907782079, 123118350, 980059373, 491143476, -1, 147704500, 674240434, -1, 167258968, 789830504, -1, 786150375, -1, -1, 659295029, 321574167, 815582512, 444784794, 171117729, -1, 292819030, -1, -1, 852058490, 668865708, -1, 774689492, -1, -1, -1, 120339334, 592244350, 451783963, -1, 981392752, -1, 374962316, -1, 407933075, 279116883, 981314753, 593690101, 451342681, 877373285, 909851544, 647099461, 636451160, 588196740, -1, 739740659, 735269751, 302548557, 140401856, 456195612, 585024088, 427229025, -1, -1, -1, 484329617, 728197647, 553894036, 153165737, 505857758, 546154212, 827753209, 871607470, 123642924, 485951775, -1, 472098101, 677547566, 145603808, 116578917, 289759504, -1, -1, 177091336, 642346766, 51174627, 450844471, -1, -1, 930756595, 776432732, 136857951, -1, 77994040, 70829640, 616748624, 617265223, 606678029, -1, -1, -1, 385078244, 506569853, -1, 476393615, 485906587, 34049787, 254534457, 527119042, 13541645, 782738503, -1, 880632315, 823015793, -1, -1, 429746923, -1, -1, -1, -1, 229075816, 213150409, 975082662, 883661405, -1, 465382298, 618408432, 414513074, -1, 880511778, 224707142, 309303462, -1, 298559927, 750643531, 169177218, 512409629, 818016093, -1, -1, 330159869, 134640008, 596212799, 255956968, 448897379, -1, 920352291, 877340125, 766555073, 79380611, -1, 711225813, 755402455, 34509076, 415253389, 833505002, -1, 759053468, 431913729, 866364453, 160760223, -1, 167230080, 805245006, 141465733, 712848087, -1, 226805635, 572003644, 266243236, 587329121, 324746944, -1, -1, 535188882, -1, 201329859, -1, -1, 219825033, 633842854, 582804008, 568109906, -1, -1, -1, 571524785, 582783926, -1, -1, -1, 970141576, 786560485, 762244398, 476482981, 415768554, 251029726, 815148159, 654247337, 522552595, -1, 787484796, -1, 189807457, -1, 138746443, 235805736, 565049794, -1, 567386018, -1, 410976146, 667525441, 920306048, 612253224, -1, 58353199, 706959557, -1, -1, -1, 152902380, 423220704, 549606299, -1, 25555727, -1, -1, 331242332, -1, 380956966, 242301006, 229950956, 955857326, 251957616, 158288763, 241209214, 902288425, 68879255, -1, 56688300, 193847230, 459116482, 610598614, -1, -1, -1, 596314522, 52158696, 347597045, 731974043, 270468609, 698601039, 326514108, 115297127, -1, 817363246, -1, 463682777, 737716625, -1, -1, 12400214, -1, 248797427, 859962159, 145891544, 883261255, 816772415, -1, 313949818, 461106874, -1, 345995848, 222874850, 41773500, -1, -1, 938307340, 509166256, 42969630, 482531300, 49132652, -1, 928662782, 14011618, -1, -1, 941572423, -1, 871032466, -1, 758735238, -1, 428973161, -1, 505948028, 215194788, 612705307, -1, 743333299, 682842654, 670428792, 4698, -1, 464932127, -1, 600299186, 474587303, 75450878, 948658830, 515033920, 982680969, 954333177, 281828532, 386145160, 852829858, 36658391, 607409742, -1, -1, 432562654, 540797752, 44035893, -1, 724602049, -1, 160804903, -1, 357806071, 357365428, 407564951, 328655871, 153410692, 611523031, 294454801, 327889124, -1, 539383972, -1, 840624302, 572894245, 762749358, 627658634, 879670618, 318176197, 166457522, 491864726, -1, -1, 820780099, -1, 983957807, 471683455, -1, 837372347, 454781752, 244134963, 104518183, 277161189, 539390525, 683697990, 312172245, -1, -1, 328397795, -1, 842643909, 511772473, 354960264, 594083342, 358118349, 112253755, -1, 27266846, -1, 872304907, 116561811, 922525761, 978197321, 505343184, 545737374, 166221159, -1, -1, 775324972, 94131281, 511355364, 727203146, 970873327, 457102867, 444301702, 595344044, 688792034, 282149811, 893648079, -1, 960250179, -1, 780362662, -1, 887047163, 558732904, 572318095, 748059214, 775215374, 679760404, -1, -1, 710679696, 839813115, 126116219, 70399651, 64566255, 441122763, 381622620, -1, 949903946, 748551726, -1, -1, 589119020, -1, 109703904, 381050031, 397546520, 159748282, 845169524, 815705229, -1, 639708819, -1, 970096620, 774672639, 907872249, -1, 732287100, -1, 960798434, 563701914, 100720495, -1, 351708530, 754337744, -1, 420218926, 686953406, 971762347, 910121534, 517480508, -1, 144711114, -1, -1, -1, 293229158, -1, -1, 986031037, 813511183, 39849505, 190370377, 642847445, 501595145, -1, -1, 993839714, -1, 785463516, -1, 106047239, 879702441, 759856721, 989315418, 53651173, 345200484, 105849765, 553659412, -1, 984984986, 985494692, 466314031, 93832096, 395360389, -1, -1, 277470572, 275351986, 47598473, 667784909, -1, 124505912, 244185557, -1, 457841247, -1, 685410175, -1, -1, -1, 82233764, 328855175, -1, -1, -1, 312866888, -1, 592675261, -1, 252314455, 609547967, -1, 71593689, 220342626, 827048056, 984736412, 889111158, -1, 108520212, 880060474, 536910483, -1, 782736506, 988406921, 529652490, 941390054, 489913363, 387633792, 619755640, 609673734, 953959599, -1, 976545230, 695991146, 866072864, 149472379, -1, 503500131, 752714411, 398877359, 40544230, 647053426, 336644362, 64211493, 447586673, -1, -1, -1, 737623786, 976089140, 684769963, 843613354, 531808363, 309324689, 262164856, 712041609, 491355134, 314021837, 274022053, 518805660, 514138758, 747855834, -1, 895453166, 475607969, 392311548, 679757989, 761184060, 106161181, 626975309, 350659495, 681834977, -1, -1, 456075703, 200249665, 989788211, -1, -1, -1, -1, 318140753, 261979103, 407037014, 842521248, 540254353, -1, 97376710, 291182981, 405100903, 359836193, 548447338, -1, 552773230, -1, -1, -1, 620900678, 711759971, 822503154, 514847382, 58952539, 901842954, 434635203, 486017477, 988634012, -1, 455169005, -1, -1, -1, -1, 359880003, 582958821, 291189791, -1, -1, 127593711, -1, -1, -1, -1, 201325609, 310203631, 148903990, -1, 521631655, 305765652, -1, 495345051, -1, 316807613, -1, -1, 522227924, 491255799, -1, -1, 257917538, 8519649, 859025359, 393975647, 125787904, 629137533, 77307662, 441500579, 689756308, 309585113, 565140165, 777032641, -1, 841738646, -1, 614801322, 427034997, -1, 758887145, 388025524, 134770602, 427921301, 720135371, 705812514, 275811796, 315095661, 39726229, 721316447, -1, -1, -1, 655586490, 866701717, 599108444, -1, 184835526, 312491058, 185652213, -1, 484131902, 406898594, -1, 235082359, -1, 712897247, -1, -1, 140406731, -1, 761991327, -1, -1, -1, -1, -1, -1, -1, 585746215, 440665163, 358494912, 230778088, -1, 639337434, 916862761, 885276849, 748710084, 769943611, -1, -1, -1, -1, 879324778, 21442191, 626324608, 421784128, -1, 172896763, -1, 472840488, -1, 57780903, 250320674, -1, 752544820, 576297826, 245649429, 61559530, -1, 559980115, 238011525, 508706780, -1, 564623389, 492491005, 420237618, 47679482, 598948413, -1, 673338733, -1, 202006781, 153229173, 803599431, -1, -1, -1, 241163388, 571262500, 683156709, -1, -1, 57530871, 951383791, 80164820, 925995880, 712729347, 743076596, 823618853, 247201708, 814965553, -1, 112904881, -1, 427162465, -1, -1, 199990075, -1, 977042847, -1, -1, -1, 785597502, -1, 488868830, 821243755, -1, -1, -1, 6335346, -1, 592767749, 759735749, 669354196, 872591619, 185638702, 106592740, 193316200, 529575624, 278675173, 519781936, -1, 125683949, -1, 573176478, 739464155, 861706925, -1, -1, 330195213, -1, -1, 521550058, 180438149, 335701109, 520468129, 40013603, -1, 385132265, 680442760, 881732332, -1, 832551042, 578855466, 623038334, 538456024, -1, 494356311, 180264034, 951665224, 5953224, 107464528, 232559290, 633420896, 66485291, 583720690, 604990024, 358644373, 309436483, 905943790, 564253715, 175434541, 975892747, 35423064, -1, 125159829, 563792288, 546575743, 438413407, 361563715, 114356686, 104771802, 831026012, 543595163, 827600241, -1, 489286752, -1, -1, 314209372, -1, 28965979, -1, -1, 817961879, 283422294, 644451053, 13359585, -1, 514191724, 338382828, 498830678, -1, 322359592, 788113009, 568146906, 331919741, -1, -1, 62232629, 135235870, 363725439, 744341963, -1, 938845283, -1, 43231041, 746769845, 766168818, 590870018, 268424334, 821099807, 970207786, 490144429, 511931180, -1, -1, -1, 787060841, 256061503, 116417649, 921505830, 200070931, 123025683, -1, 809447522, -1, 377168476, -1, 117478534, 572307725, -1, 512597749, 912417196, -1, -1, -1, 934015773, 659833138, -1, -1, 548003417, -1, 171189225, 854646648, 755731392, -1, -1, 686688931, 838749091, -1, 955420075, 395005742, 342874344, 39708513, 964791747, 637131589, -1, 882339420, -1, -1, 400016978, 101733646, 826106515, 894551642, -1, -1, 236798458, -1, 380414395, 202377606, 647872334, 395157525, -1, 657765846, 110074158, 162314484, 747182743, 758856005, 943945011, 733045243, -1, -1, -1, 819693206, 762619242, -1, 92900829, 799461975, -1, 595686035, -1, 773602063, 374011768, 835479892, 725562597, -1, 163702504, 268747929, 894924974, -1, 55076083, 101196492, 812704380, -1, 813400839, -1, 376481171, 629207121, -1, 614437807, 964722540, -1, 809158414, 94366074, -1, 606005055, 405208789, -1, 135075349, -1, 515081357, 561327134, -1, -1, 292998077, -1, 232842754, 861967007, 889178941, 339246321, -1, 19376764, -1, 779601245, 144909252, -1, -1, 957148007, -1, 950393815, 794112345, 409750004, 844376436, 532899125, -1, 546344754, 360081616, 632694642, 366008019, 822297870, 891025013, 314084205, 95703634, 596233879, -1, -1, 365798802, 163464505, 522424846, 131900583, 185749470, -1, 89695297, 434956235, 348555878, 814673335, 176607348, 899267326, 624655199, 325571943, 669136775, 596241365, -1, 701499138, -1, -1, -1, 729493693, 241168274, 385074312, 730163040, 621801586, 743076318, 552298984, 823863232, -1, 11251323, 734653972, -1, 816647049, -1, -1, -1, 668076477, 46780206, 298966717, 321022259, 264638319, 267809259, 127367264, 216133663, 144931324, 411845996, 740864113, -1, 293230429, 487163989, 250986317, 882105323, -1, 443616752, 666074782, 399310919, 706746977, 439122701, 21096421, 867177679, -1, -1, -1, 905066958, -1, 943073227, 953989059, -1, 296118647, 673561556, 503583731, 727958701, -1, 45294953, 579487580, 782786956, -1, 934837474, 717979155, 877028018, 87495525, -1, 995991158, 519376491, 360630038, 108235194, 70273805, 886555531, -1, -1, 109305992, 123204971, 19546231, -1, 528634852, 822143395, 114626054, 915926792, -1, 130400081, 765081984, -1, 941328196, -1, 807986530, 305373053, -1, -1, -1, -1, 735518700, -1, 592708714, 429278333, 865036980, 300896017, 525027808, 716885527, 576227603, 490051052, 320638397, 270907746, 840517486, -1, 523402763, 272421293, 349094407, 255507310, -1, 815426279, 307399699, 601805428, 133758010, 748370601, -1, 57214181, -1, -1, 365684153, 825557170, 980587977, 770411886, 265324888, 403621539, 105898000, -1, -1, 215448678, 622074424, -1, 227819397, 511723407, 546847772, 692141579, 446368947, 949200652, 720368098, 344287115, -1, 456114603, 649696182, 441705896, 55644946, 55528520, 307610562, 256209261, -1, 768614241, 310170961, 802152635, 168149007, 288949484, 498228302, 592335169, 216002379, 514942378, -1, 944067499, 531467284, -1, -1, 936769068, -1, -1, 118775501, 495880439, -1, 846329013, -1, 974409828, 689070770, -1, -1, 820631789, 133588952, 418939214, -1, 279173898, 517970487, -1, 918483356, -1, -1, -1, 979546328, 782611341, -1, -1, -1, 927222327, 976608871, 796642252, 640760882, -1, 230751593, 704443022, 352248804, 687145806, 598837306, 555168626, -1, 809428311, 660667570, -1, 989508617, 578184960, 215860955, -1, 15746381, 602495338, 582463277, -1, -1, 68145124, 42534007, 527194090, 758311799, -1, -1, 743217090, 878349527, -1, 981179014, -1, -1, 280718037, 59176097, -1, -1, 342811806, 515125786, 75428669, 968898578, 793944850, 362510354, 180470890, 299550759, 4956728, 921158251, 94794178, -1, 178823633, -1, -1, -1, -1, 475399287, -1, 240315458, -1, -1, 610851950, 954855193, 414937674, -1, -1, -1, -1, 852117777, 116128344, 283288434, -1, 932876689, -1, -1, 572131572, 882821125, 454890160, 461212336, -1, 900996756, -1, -1, -1, 407892882, -1, 392331505, 354660558, -1, 648778030, -1, -1, 208520834, 528690164, 861579058, -1, -1, -1, 973574489, 550771260, 653391207, 151251356, 334405514, 84966858, -1, 969267998, -1, 99549084, 714246990, -1, 908888389, 124431130, 387609207, 67789624, -1, 326420423, -1, 729269425, 827068698, 589089975, 359492099, 645339304, 553914732, 197367531, 686611346, 523648169, 236844265, 845630207, -1, -1, 601710720, -1, 173091209, 488863512, 5025814, 939922176, 874670507, 78173896, -1, 539241276, 912212510, 946135600, 873835924, 549063684, 65701564, 573734914, 832474073, 234891731, 403692829, -1, 314128600, 809728368, -1, -1, 852165760, -1, 221191368, 119103340, 586100317, -1, -1, 452475970, -1, 649692128, 553520230, 373207443, -1, 910977350, 178642542, 266892157, 985280042, 654823073, 684580106, 122008670, -1, -1, -1, -1, 692909084, -1, 525123591, -1, 506293606, 124853609, 518313656, 696699058, 377674971, 575270139, 686502911, 495495979, 130404031, 292444761, -1, 698657790, 394374489, 145743356, -1, 902289571, -1, 333275276, 938272224, -1, -1, 32250263, -1, -1, 421258186, -1, 496209080, -1, 207272862, 540340364, -1, 635051129, 293481372, -1, 757828827, 232572188, -1, -1, 53697383, -1, 524955782, -1, 495542371, 644491555, 929069434, 943636844, 877234874, 499951028, 336472907, -1, 734026158, -1, 733943683, -1, 449026329, -1, -1, -1, 343920073, -1, 321193592, -1, 192027592, 869887988, 567368982, -1, 212184345, -1, 243246698, 841224783, 902106763, 379830455, -1, -1, 448184461, -1, 705754401, 426010326, 319480716, 841831832, -1, -1, -1, 86348542, 754609158, 157737135, 593995066, -1, 875255170, 898670942, 678972353, 237039822, -1, -1, 190386845, -1, 178804138, 431782132, -1, 271867445, 903733320, -1, 202107667, 455851315, 814278101, 685857700, 70401299, 363831808, 306201825, -1, 748085403, 134603273, 588445224, -1, 827652175, 641962676, 876283121, 728050382, 250593578, 56149167, 631437694, -1, 523829811, 332756657, 911003355, -1, 212790682, 911669360, -1, -1, -1, 981786078, 424027536, 391824017, -1, -1, 748050855, 498196192, 143917915, 650824584, 974738765, -1, 797274017, 490203438, 391576229, -1, -1, 524350720, 662462631, 373832647, -1, -1, 163616130, 821925757, -1, 452490884, -1, 902103104, 419093209, 487911955, 957492627, 475908349, 307870082, 463585493, 153656966, 241758161, 433762284, 872364611, 823637034, 959666827, 401788448, 636814, -1, -1, -1, 46683087, 161306407, -1, 544707375, 681656540, -1, -1, -1, -1, 334060071, 823560350, 489008967, 415365779, -1, 726690124, 669044555, -1, 611031496, 179607681, 457216550, -1, -1, 35594287, 457409523, -1, 783896677, 69876892, 891271059, -1, 312167242, 795427539, 391200645, 958368071, 247992826, -1, -1, 345667983, 994351059, 329826790, 267695159, 859731363, 761813499, 785694495, 650352967, -1, 843353719, 139702305, -1, 97120725, 540748595, 558032833, -1, 843354528, 153174242, 30022793, 597709097, 531401863, 835743777, 186528160, 654778845, 412056455, 957951741, 643882028, 850358315, 745493083, -1, 683876645, 117082422, 296343974, 343436494, -1, 952549153, 682303570, -1, 986636382, 970226633, -1, -1, -1, 76902708, 952060984, -1, 883796153, -1, -1, -1, 277567704, 30570856, -1, -1, 182564721, -1, 475472543, 744815856, 55976429, -1, 219457882, -1, 263704256, -1, -1, 694295690, 631353117, 114690163, -1, -1, 763933189, 294935098, 231147495, 829150147, 188886159, 637440179, -1, 981973793, 810703003, -1, 36928013, 93289434, -1, 57688431, 45684285, 309315411, -1, -1, 524569742, 786783587, -1, -1, -1, 617924023, 947757396, -1, -1, 481278742, 516444571, -1, 596087230, 742314923, 454188395, 263304234, 468936880, 178864386, 239365498, -1, 907147731, 889045947, 671465730, 263112453, -1, 647075798, -1, -1, -1, 137423053, 636714258, -1, 113197030, 52602566, 517724533, 601325338, -1, -1, 100004828, 119751151, 888864229, 782677103, 449758532, 415709274, -1, 871765889, 557426017, 935570574, 486341432, -1, -1, 937435270, 413688748, 782990500, 521088142, -1, -1, -1, 872559917, 205980038, -1, -1, -1, 870681113, -1, 735216159, 521070724, 718035173, 608931301, -1, 454771817, 430444437, -1, 405275261, 797544080, -1, -1, 309242615, 707212627, 316775969, 205676406, 505713180, 810656677, 265528272, 988308204, 246065960, 335646, -1, -1, -1, 290133617, 558777994, 405016771, 331410281, 933175379, 377542410, 780731854, 874313180, 784004733, 509942773, 102122367, 66983121, -1, 760708556, -1, -1, -1, -1, 695732330, 263456180, 105604368, 570295596, 172740035, -1, 885556618, 28367384, 815021316, 52112882, 588784122, 237631328, 974614368, 325471437, 825745735, 345417691, 685071436, 620294980, -1, 807256214, 815007904, 311715627, -1, -1, -1, 269448009, 317933815, 491945171, 826141256, 623740845, 982200531, 703953027, -1, 207601429, -1, 725904140, -1, 986395164, 607120240, 695277036, -1, -1, -1, -1, -1, 566720825, 944605009, -1, 418432221, 789432701, -1, 368463392, 189988014, -1, 531387734, 707766534, -1, 693143419, 112529901, -1, 880927689, 936981907, 553937113, 554743548, 403282339, 954647744, 863756211, 581133659, 381578364, 470092290, 14371025, 872644336, 755738172, -1, 527602282, 625784574, -1, 225315174, -1, 357369538, 58450880, -1, 319818641, -1, 6047258, 305688586, 275246665, 702112823, 766276271, 118432284, 508102090, 946119722, 490964831, 90593901, -1, 449010622, 950595911, 822814709, 137406685, 656370186, 723359796, -1, 538674722, 13533091, 882369819, -1, 998677523, 219761548, 384518766, -1, 918208010, 666761633, 164867710, -1, -1, 572624219, 752653094, -1, 580744147, 584513026, 242317040, 337951053, 831209807, 196432914, 928808874, -1, 653163781, 460481964, -1, 653346286, 924140788, -1, 263744780, 207116172, 870215208, 466053406, -1, 764140114, 834175060, -1, 225905215, 143361288, -1, 218017411, 489692543, -1, -1, 256900164, 818054229, -1, 956143017, -1, 401804166, -1, 483499390, 995021382, 724927024, 909056138, -1, 547705774, -1, 139841477, -1, 785262847, 330964107, 598460339, 537536903, 391396810, 375098303, 15354788, 535849877, 55412765, -1, 667601603, 131044533, 13264182, 406460057, -1, -1, 759347309, 398846100, 431736601, 254530523, 178658741, -1, 307648442, 525621517, 345681003, -1, 960618350, 518728769, 378934545, -1, 127779047, 116291996, 926481965, -1, 635816385, 890084755, 184975869, 883026594, -1, -1, 607344034, 47863644, -1, 746271235, -1, -1, 503888591, 904604166, 113243567, 896457161, 600050939, 354670315, -1, -1, 590350092, -1, 773145589, 614003604, 719128198, -1, -1, 763384820, 5898687, 788372345, 579576675, 779402687, -1, 376535202, -1, 762674077, -1, 360164790, -1, 126256497, 49913322, -1, -1, 180630179, -1, -1, 641006376, -1, 388382979, 336214304, 568174445, 307565440, -1, -1, -1, 379371692, 855228777, 907707986, -1, 54779553, 849102651, 540192226, -1, 826800047, 939456808, 795649346, 338759765, -1, -1, 888998623, -1, 22693085, -1, 791359810, -1, -1, -1, 459835593, -1, 543837346, 707615138, 75867635, -1, 144388536, 708538090, 390261766, 425133348, 138605541, 659133641, 689061240, 804867232, 720833993, -1, 390071565, 931963342, 790423320, 669625025, 662623857, 221073658, 643608108, 349211801, -1, -1, -1, 609085143, 741934563, -1, 723846738, 385940546, 207035360, 241570720, 160853186, 149086928, -1, -1, 766053861, 442279263, 150918877, 724512528, 737923039, -1, 549080577, -1, 611864145, -1, 420507579, 133597933, -1, 892273775, 766073812, 905444817, -1, 536130983, -1, 774328108, 732589174, 741559733, -1, 628401508, -1, 861722902, -1, -1, 724787908, -1, 401759860, 882175727, 467891995, 418133420, 723686620, -1, 462202765, 456207058, 627554790, 790818195, -1, 585850379, -1, -1, 530030342, 131777411, 942273236, 4304983, -1, 581053940, 587686851, 383230129, 354894892, 216824344, 340445831, -1, 783248218, -1, 967004312, -1, 712223504, 531731463, 14993677, -1, 549023955, 112489785, 931952630, 498220459, -1, 498116010, 333544574, 670780095, -1, -1, 153992409, -1, -1, 676857122, 465615460, -1, -1, 756263018, 769145739, -1, 940972118, 272793824, 232205484, -1, 4549785, 527573747, 570885255, -1, 367446415, 541667620, 184842204, -1, 845944226, 520955478, 645594912, 175209865, -1, 286295295, -1, 348238628, 622484223, -1, 249000765, 223610063, -1, -1, 319440005, 197154560, 286511270, 299053993, 832707809, 981644271, 535780639, 137621984, 638385268, 128205475, 31015942, -1, -1, 171410696, 343781103, 380455388, 62732499, -1, 997208540, 465565412, 259174567, 672921315, 964795552, -1, 87354467, -1, 847266303, 506794559, 643631686, 353342778, -1, -1, -1, -1, 303606289, 838385741, 832820520, -1, 44429415, -1, -1, 494052620, 213462196, 752484228, 877341202, 249084144, -1, 233360211, 411778194, 113714931, 711652878, -1, 806136266, 998816112, -1, 751000561, 889521333, 44209719, 209988980, -1, 647046725, -1, -1, 967668802, -1, 772831243, -1, 727005169, 624566213, -1, -1, 511224101, 653273250, 11074776, 606005250, 712785079, 356726828, 852997894, 116400566, 805485955, 692704699, 167668229, 135322069, 51358501, -1, -1, 711572084, -1, -1, -1, 212185972, -1, -1, -1, 145785185, 558155053, 180942964, 300998949, 830718963, 760600636, 167507919, 245931497, -1, 675367960, 899799361, 246382437, 196920708, 165904986, 388367204, -1, -1, 576960512, 205489052, 21005244, 128445471, 327591472, -1, 222966858, 883009859, 337738687, -1, -1, 383849357, 879627895, 403634696, -1, 20888536, 182965630, 997718385, 237530024, 967797577, 995094162, -1, -1, 522860327, 991910956, 64845824, 441934469, -1, 668017570, 622869049, -1, 253879624, -1, 454143678, 977121441, 296153443, 495118738, 975273230, -1, 417501922, 137167537, -1, 218745384, 975932080, 968897901, 604735860, 133569868, 570743647, 650238870, 865091480, 67380730, 252010427, 901025294, -1, 817376093, 972254155, 800834193, -1, -1, 250183394, 599738460, 845790280, 361162743, 308449825, -1, -1, 637375908, 28088798, -1, 813732969, 862380811, 532457207, 760078469, -1, -1, 135325599, -1, 476430448, 951630096, -1, -1, -1, -1, -1, -1, 198159426, -1, -1, 406185017, 323721197, 546346631, 526247078, -1, 225214666, 465709766, 73813626, 757462069, -1, -1, 702779972, 563578934, -1, -1, 441238657, 232916614, -1, 478436150, -1, 692524292, 840053745, -1, 142674779, 914088519, 367414420, -1, 847849673, 283574869, 340376082, 708944106, -1, -1, 354332314, 923120786, -1, -1, 833397955, -1, -1, -1, 346621384, -1, 906602500, 863585041, 817527573, -1, 636957211, -1, -1, -1, 929535725, -1, 419214470, -1, 859581671, 83612412, 367513411, -1, 623587293, 989396023, -1, 366510193, 164617777, 754843099, 694931818, 776386341, 584154062, -1, 731095555, -1, 923543752, -1, -1, 334246897, -1, 458229122, 850681979, 555234910, -1, 64399903, 849885023, 561575676, 891845993, -1, 305431134, 78877977, 152011828, 646997263, 256558636, 541313738, 406503601, -1, -1, -1, 874127739, 310310975, 348288116, 838163219, 136935950, 45482458, 300863189, 157315445, 856698463, 658939196, -1, 622111551, 381428497, 769789341, 8369006, -1, 468182937, -1, -1, 580063753, 910247366, 616735507, 684277716, 399464990, -1, 64921619, 256599138, 16213956, 691474778, -1, -1, 47071702, 421008488, -1, 515165233, 89618444, 396568705, 10390392, -1, 382522428, 536231817, 143921225, 855756886, 917669871, -1, -1, 595997948, 775766932, 234811743, 858451386, 105862349, 938455460, 817755853, -1, -1, -1, 306133252, 837663414, 552125897, 223696196, -1, 547620656, 943437503, 689647823, 927222531, 638935820, 813339428, 637349775, 540890634, 862551019, 832303110, 303251605, 602039513, 559930598, 885182004, 765482194, 642746415, 696817971, 338906144, 898469328, 564300824, 440501742, 235133069, 766642849, 4485148, 17909568, 583323853, 102312710, 68048377, 902829465, -1, 371104487, 295730223, 608789744, 48560777, 295344127, -1, 246327066, 712544709, 295396580, 15057509, 720487858, 225756163, -1, 427304503, -1, 382369906, 871559202, 954499734, -1, 459759775, 442200737, -1, -1, 917828607, 103465176, -1, 414633804, 492909822, 419568679, 979787531, 398255574, 803920760, -1, 218172330, -1, -1, 884781154, 947408170, -1, 589549882, 123978932, -1, 124391997, 394995747, 562240554, 454754850, -1, 848275920, -1, 332447835, 687368574, 420627704, 112005084, 646683082, 129249640, -1, -1, -1, 133206641, 975689272, 434807262, 924289627, 281506789, 433811835, 444698829, 530296067, -1, -1, -1, 931416946, 498945179, 787515460, 306894900, -1, 828359560, 673583246, 217088949, -1, -1, -1, 600280195, -1, 600907224, 623361514, 174130662, 858059277, 95645517, -1, 74873571, 238335165, -1, 792703723, 75516721, -1, -1, 749273877, 13337372, -1, 331006511, 163173554, -1, 164064432, 568011975, 280175848, -1, 884617001, 600886969, 973764232, 926670203, 165148794, 12149836, 67491619, 441532678, 899588159, 881446200, 283136756, 440438789, 651784014, -1, 322311643, 432203453, 269456036, 554766113, 522787759, 972222008, 889098940, -1, 767178599, -1, 393525569, 933302361, 487018226, 891267785, -1, 763477905, 952638812, -1, 714260448, 70246024, -1, 511607666, 422135009, 172308845, 60862633, -1, 644555573, -1, -1, 481375581, 468608020, 435724248, 680261537, 952324465, 568508431, 775324635, 808459350, 945477978, -1, 315279050, -1, -1, 44290383, 367133243, 538423714, 23278031, -1, 755416914, 491237319, 904439581, 733354967, 847054775, 394153264, 140140486, -1, -1, -1, 680963922, -1, 591361589, 362312422, 58519905, 467920178, 829249484, -1, -1, -1, 412504918, 323717836, 638581845, 830130520, 261803940, -1, 278702977, -1, -1, 557508699, 701038994, 717140062, 376931162, -1, -1, 200320027, 635026961, 942456222, 424631186, 690296343, 82752655, -1, -1, 657974850, -1, 317045301, -1, -1, -1, 842882805, 328979489, 496287953, -1, 247714055, 989060550, 848017287, 526453607, 533688203, 928561177, 550903220, -1, -1, -1, 207310634, 971779585, -1, 875836321, 448230447, 723268266, 303853719, 689354436, -1, 339782437, 617254843, -1, 784392862, -1, 575412144, 401675658, 286904592, 255693757, 387101309, 924260940, 414401158, -1, 157540566, 575848527, -1, 568363764, 312827895, -1, 460731335, 559383165, 771597349, 473671991, -1, 21811304, -1, -1, 247833160, 151052633, 106644897, 914002038, 995656982, -1, 167427648, 105106218, 175738927, 177209599, 407491775, 795318683, 149061332, 132624937, 403742965, -1, 180829521, 419146546, -1, 187817455, 803154461, -1, -1, 97458596, 228928805, -1, -1, 690426244, -1, 912222868, -1, 858710732, -1, 595756009, 882662384, 71339624, 126506715, 474670508, 939832501, -1, -1, -1, 369525814, 365265501, 858504821, -1, 435676963, 25181605, 819537070, -1, 954721026, 107870209, 457240465, 916604310, -1, 167345015, 12279326, 809676488, 331497698, 561792174, 435132921, 983448435, 749553455, 274546176, 579003775, -1, -1, 795864873, 728607055, 70087864, 421936812, 677211422, -1, 479613466, 755266859, 421858797, 253987821, 105905777, 781259494, 850665286, -1, 871434557, -1, -1, -1, -1, -1, 393667689, -1, -1, 742818670, 167269634, 735908840, 181347788, -1, 163025764, -1, -1, 290507389, -1, -1, 753579768, 618452248, 774371460, 752445881, 652571547, 37508921, 734344346, -1, 383192730, -1, -1, 148396221, 405720974, 840054200, -1, 836858587, 557370058, 565190190, 497365171, 491444746, 637980741, -1, -1, 791040048, 346794559, 496897875, -1, -1, 630571326, 922467129, -1, -1, -1, 482982222, 667952527, 75417338, 108964578, 595469798, -1, -1, 937545128, 698493319, 611975548, -1, -1, -1, -1, -1, 604073975, 15211865, 226272652, -1, -1, 602838373, -1, 892046537, 616844020, 954377283, 128852530, 779039798, 369762983, 729013132, -1, -1, 814296574, 686668459, 908400149, -1, 818352787, -1, 223222777, -1, 631037372, 42966250, 785736219, 60115613, -1, 165718054, 429849741, 623286024, 809398437, 958371228, -1, -1, 626500909, 381513188, 477067279, 797807206, 699750056, 943704151, -1, -1, 863914535, 375349985, -1, 655266365, 754106750, 93727676, 306587403, 793413090, 209854808, 607564304, 203394548, -1, 756810540, 850053373, 650536556, 503689389, -1, 52404795, 215710011, 668906565, 518427592, -1, -1, 304925828, 46358070, 14404072, 373360130, 415308599, -1, -1, -1, 861021384, 315396393, 681440800, -1, -1, 598476544, 170098936, -1, -1, 938467860, 458129506, 86714655, -1, 675041841, 895767053, 755191398, -1, 921792972, -1, 124114134, 854134873, 232229350, 903736021, -1, 740378995, -1, -1, 857806143, -1, -1, -1, 945061383, 780525296, 811173535, -1, -1, 1191403, 179012677, 215199192, 819351734, 705563019, 111736702, 780908862, 317423543, -1, -1, -1, 373503090, 908444323, -1, 357531194, 835881226, 545584438, 736637760, 226491690, 796946319, 41385043, 372796894, -1, -1, 65159179, 108038729, 99711877, -1, 277867760, 368655802, 300823567, -1, -1, 312386823, 361118482, 754522711, -1, -1, 704479900, 579414318, 733680845, -1, 461017989, 336147192, -1, -1, 103469930, 345665121, 638143492, -1, -1, -1, 417574482, 190272972, 900544302, 444942704, 84695681, 818029345, -1, 524225930, 662883857, 307268623, -1, 820614277, -1, 124618987, 737236660, 54597878, -1, -1, 590250325, 797554929, -1, 133706376, -1, 155405722, 378474053, 130158222, 412975822, 840617956, -1, 896725428, -1, -1, 794898894, -1, 280634012, 358110480, -1, -1, 513624960, 595532046, 977604600, 838293142, 583889707, 455016321, 788652831, -1, 780112933, -1, 703770779, -1, 758508829, 980383330, 805428465, 199575221, 554339531, 425579298, 164484798, 487031583, 409577148, 21244455, 141357615, 128326174, 808290843, -1, 980023857, 507174056, 115193658, 82376604, 573651448, -1, -1, 58988487, 253252486, -1, 338181879, 596748060, 984679886, -1, 909115573, 610944762, 530639633, -1, 328777703, 760301918, 346642749, 39940357, 395715119, 685074276, 884971449, 993040605, 766574891, 626245411, -1, 43908575, 676996869, 203561102, 76498755, -1, 505455442, 169225625, 826691772, 839630899, -1, -1, -1, 570625507, -1, 576668320, 276640375, 175368772, -1, 251987269, 383529488, -1, 462946254, 945825915, 475517356, 931866914, 390372066, 112466945, -1, -1, 964330309, 42324047, 438001553, -1, 606885333, -1, 458692470, -1, 917241260, -1, 690066414, 895146160, 522570752, 937035319, 976591129, -1, 126247301, 195888978, 257303824, 406980154, -1, 315304422, 476496008, 562666412, 987744038, 490545496, -1, 270105598, -1, 912737828, -1, -1, -1, 739686533, -1, -1, 350371695, -1, 639352050, -1, 472821759, -1, -1, 470643203, 236387939, 762051692, 942042156, 129660191, 733507480, 582422927, -1, 809073217, 359129012, 864609040, 364283478, 115595742, 498929907, 817927900, -1, 866931577, -1, 8146172, 880783520, 920423048, 38446865, -1, -1, 67603265, 203608411, 745566725, 392577732, 608956839, 479624769, 341491355, 134011313, 798562299, -1, -1, 51009323, 677278508, -1, -1, 69923966, 965870338, 947877913, -1, -1, 606018742, -1, 844180556, 873196055, 841746339, 46612772, 9957887, 857181602, 546406347, 259730593, 411232068, 732257955, 423415977, 65265165, 236555238, 56906040, 892800182, 114835290, -1, 195304560, 201244255, 968173190, 779394344, -1, 707503015, 38304210, 899853396, 331080257, -1, 126253776, -1, 539405018, 869579417, -1, 74157756, 512619846, 807777989, 253200921, 82700052, -1, 946916932, 548103944, 501348210, -1, 12514361, 567428616, 848320433, 208011315, -1, -1, 83123183, -1, -1, 753200441, 670050523, 631019266, 938668738, 592201431, -1, 825211444, -1, 81094768, 855290359, 905127863, 257188776, 560487076, -1, -1, 291753509, 633395488, 171942610, -1, -1, 40616512, -1, 994747772, 697619432, 755835508, 483510296, -1, -1, -1, 981946839, 318270543, -1, 79522413, -1, -1, 492127981, 421369470, -1, 901135546, 609295209, 774941043, 604575052, -1, 730127675, 993707806, 937768092, 12191124, -1, 257685222, 58350805, 52330626, 527661518, 72130467, -1, 384853839, -1, 946925715, -1, 941900138, 465016083, 656873026, 853679717, -1, 253025265, 7847091, -1, -1, -1, 584798228, 831866671, 808835165, 119251610, 269106492, 938042581, -1, -1, 680695731, -1, -1, -1, 331592096, 931838469, 938770562, 769736082, 15457714, -1, -1, -1, 781986164, 868970443, 610776673, 268829823, 354410508, -1, 921240215, 257697416, -1, 523555587, -1, 563993140, -1, 327950436, 403843257, -1, 795286557, -1, 862528031, 296722318, 203970388, -1, 298376871, 864462487, 239245832, 630164036, -1, 621381440, -1, 51338015, 206113336, 282327974, -1, -1, 841915082, 324862869, -1, -1, 294076772, 571931009, 973640877, 59522564, -1, -1, -1, 267690061, 411577811, -1, 432704013, 818123346, 394870436, 22555518, 170581434, -1, 512707739, 434933014, 588609511, 933216399, -1, 629094031, 606929512, -1, 363512694, 61798483, -1, -1, -1, -1, 55982822, -1, -1, -1, -1, -1, 8702572, 587138852, -1, -1, 784105709, -1, 151730915, -1, 386012104, -1, 443810531, 316084229, -1, 506142418, 488150748, 838099587, 437636493, 290725818, -1, -1, 596564020, 154140284, -1, 716858416, -1, 838790238, -1, 99991731, -1, -1, 225501838, 364299316, 575762071, 77656933, 26446389, 431776722, -1, 757915324, 441369321, 831576884, -1, 22475938, -1, 852695179, 541212110, 941125792, 578373740, 454207466, 408988192, 432541514, 968625561, 320603129, -1, 457299074, 499853519, 987335264, 883803344, 570253299, 1362712, 859779444, 607978774, 639249543, -1, 790834314, 69254589, 654293878, 815022413, 102258658, 991457942, -1, 980411854, 269818046, -1, -1, 754742690, 965825917, 608349915, 430782834, -1, 447166465, -1, 927524593, 713980214, 171038854, -1, 957849190, 620411995, 772086230, 464695865, 158527813, 703901768, 957810000, 357843056, 369481309, 440008453, -1, -1, 120021767, 811178927, -1, 33787188, -1, 259075515, -1, 526315346, 39707787, 782092527, 916105146, -1, 991354675, -1, -1, 795713491, 582182027, 359711894, 286367701, 923445764, 681976533, 282988324, 694171411, -1, 237164537, 817616179, -1, 278702356, 739866501, 584963795, 511651220, 822783788, 877320242, 145627687, -1, 364664901, 715893611, 19050228, 177290091, 134949753, 288783697, -1, 105804159, -1, -1, 835616694, 265838702, 351547471, -1, 33388124, 322960652, 573862064, 771843891, 535838303, 674852541, 392899934, -1, -1, 155525639, 322525379, -1, 190769461, 85586902, 72753936, 247132424, 749237002, 842889676, 198551546, 787117241, 967846727, 349552360, 272593247, 383573047, 410578022, 382433547, -1, -1, 267737391, 201884068, -1, -1, -1, 281245333, 95691641, -1, -1, -1, 713035432, 566783764, 393911328, 987048809, 485492918, 239797667, -1, 395609213, 513408194, 162754464, 135471700, 313199735, 276301968, -1, 896599201, 103585098, 877369734, -1, 338437616, 476857122, 144994228, -1, 258471896, -1, 33245220, 251184009, -1, 825840093, 472215135, 386078788, -1, -1, 651379598, 120080650, 556159798, -1, 722168418, 456128820, 232166553, -1, -1, 198891760, -1, 363488894, 621117242, -1, 433886699, 885190573, -1, 956787357, 638102281, 759926261, 666607115, 333834827, 575142717, -1, 523826843, 39188617, 5666501, 687506260, 817073221, -1, 27871216, -1, 575025460, -1, 126172795, 211841576, 33097766, 317156416, -1, -1, 623943835, 42732409, 591061830, -1, 489332991, 442007386, 351683224, 943366903, 348896224, -1, 263064305, 928120877, -1, 851592856, -1, -1, 660792175, 257993641, 361511660, 437849280, 588380146, -1, 953067257, 48302908, -1, -1, 192662797, 91433826, -1, -1, -1, 229734992, 484400402, 534268437, 626545081, -1, -1, 234489707, -1, 871801521, 204762386, 483263359, 876647164, 633005802, 709221357, -1, 45316226, 349588461, -1, -1, -1, -1, 375366410, -1, -1, 153927065, 151643717, 32558732, -1, -1, 133714353, -1, -1, 126367726, -1, 645947972, 25648605, -1, 751254790, -1, -1, -1, 897448200, 25202487, 815935564, 452698638, -1, 300946024, -1, 782221930, -1, 161387835, 953439271, -1, -1, 174323366, 608460102, 743497333, 606228225, 619087779, 508150448, 199375193, -1, 71790971, -1, 597505770, -1, 80287586, 573735340, -1, 851482733, 655663817, 859975633, 581684675, 740583498, -1, 288628953, -1, -1, 472958674, 441186465, -1, 829480128, 889599202, 887783056, 507353405, 201202490, 464226084, 618406365, -1, -1, 642293453, 507022816, 722103467, -1, 561345134, -1, 558850535, -1, 175198171, 154708557, -1, -1, 593191879, 129977759, -1, -1, 685555510, -1, -1, 51898642, -1, 291620352, 849665277, 774080993, 993219004, -1, 225075832, 991377076, -1, -1, -1, 481233717, 857500255, 722123092, -1, 996014394, 972764339, 542403668, 199128703, -1, 83990932, -1, 500438172, 321193917, 17991419, 533587409, -1, -1, -1, 973130279, 347028781, -1, -1, 17262371, 326177337, -1, 871107637, 685259593, -1, 49043183, 153416137, 225556685, 439344705, -1, 608725085, -1, 521770376, 198504550, -1, 623999551, 937804143, -1, 192906686, 239509517, 380813484, -1, -1, 469125761, 925361209, 199459005, 155210195, -1, 298467682, -1, 394586610, 837857164, -1, 742213153, 449064150, -1, 454447594, -1, 136305870, 806463010, 653016833, 709113579, -1, -1, 930165688, 763197231, -1, -1, 648417366, 423726212, 507338934, -1, 532388341, 441976473, 906148348, -1, 37575550, 659086305, -1, 684540606, 465688346, -1, 758101969, 271773396, 794848788, 541412034, 415054038, -1, 695934755, 355257303, 587228634, -1, -1, 491356387, 164158892, -1, -1, 95958163, 58851410, -1, 154568181, 762927862, -1, 169783833, -1, -1, -1, -1, -1, 726708249, -1, 918664443, 84965383, -1, 532537567, 564587892, -1, 220302392, 114080227, 653314785, 254960480, -1, 45386104, -1, -1, 137065974, 54826701, -1, 967415332, 929552074, 341687945, -1, 443160299, 91530347, 92877852, 241472667, -1, -1, 976676750, -1, -1, 659693013, 997795952, 893992458, -1, -1, 103293250, 986932344, -1, 146264264, -1, -1, 831433325, 373790581, -1, 117212927, 26285517, -1, 563194485, 634538871, -1, -1, 581693860, 823943996, 797511983, -1, 149669405, 38958049, 371674385, 581748615, 325901712, 631380580, 342850859, 56636384, 934502870, -1, 276194520, 523004789, -1, 950804952, -1, 960394845, 15022751, -1, -1, 263935671, 673776880, -1, 661563308, 842008492, 9100063, 31143636, 879640839, 984887199, 271132460, -1, -1, 438942609, -1, -1, 83669598, 674762598, 789485974, 273246281, 61641387, 330710271, 789129111, 119167867, -1, 825380375, 14218981, 858418908, 356757721, 988602465, -1, 304107075, 926006340, -1, 706204521, 437080104, 48061674, -1, -1, -1, 490957271, -1, 63455118, -1, -1, 142950171, 574766756, 169038723, -1, 403421236, -1, 746787988, 680768617, 471824020, 890811560, -1, 242619845, 800599065, 701356569, 912949124, -1, -1, -1, 325247924, -1, 384485856, -1, 186777842, -1, 133707163, 98906779, 951998486, 670908097, 284736448, 262503225, 983929966, 415293691, 296210360, 290923946, 939902782, 936429140, -1, 691724800, 75207286, -1, -1, 38278408, 607307158, 689026291, -1, 537228658, 386929132, 732153210, 644004318, 360029412, 17409985, -1, 636334437, 943319791, 923599610, 83018507, 242591010, 760040966, -1, 564024750, 577053972, -1, 197446017, -1, 866911973, 851909785, 83402212, -1, -1, -1, 23578289, -1, 725086817, -1, 96833230, 808821314, 657423182, 89993850, 782045957, -1, 616544810, -1, 717992254, -1, -1, -1, 371813367, -1, 533398501, 795333577, 884966236, -1, -1, 402037433, 187938305, 160900605, -1, 314593862, -1, 522526754, 281687967, 190560465, 534313514, 829734316, 804149596, 372612869, 543728472, 126704580, 608826973, -1, -1, 390168635, -1, 253258504, 651290796, 931287347, 420915425, -1, -1, -1, 632537912, -1, 691504782, -1, 799606997, 145919662, 738596547, 868079899, -1, 785460653, 320540999, 969847305, -1, 864430187, 557270539, 658672650, 415798914, 769264787, 954872703, 268046121, 941690020, 588359206, 776011329, 550049431, 953218436, 717812095, 534206028, 342813214, 223977817, 533374141, 951852333, 99960673, 737959052, -1, 514569747, -1, 899591435, -1, 446916683, 105516904, 808295246, -1, 332984448, 295198182, -1, 800847884, -1, 554961021, 11414526, -1, 627583288, 23647811, 235580607, -1, 499936813, -1, 244711450, 163888112, -1, -1, 149649278, 377531804, 220031210, 12978124, 256159865, 595676340, 897148832, -1, 718027413, 102536533, 287109528, -1, 314840416, 941059170, 986474840, -1, 410434608, 732050550, -1, 215084745, -1, -1, 344042703, 938276937, 109636639, 891722784, 660547259, -1, 346647293, -1, 446269860, -1, 35083108, 53099273, 148947468, -1, 413161402, 91920860, -1, 589430355, -1, 997468339, 125701364, 299057275, 38235805, -1, 727481095, 949613717, -1, 166381001, 717341699, 524203864, -1, 543741932, 797528767, 352017833, 740312057, 233149136, 786957950, 667848835, 517943938, 302487615, 457628204, 58559511, 925555425, 848729257, 232291549, 298864781, 332119705, -1, 796979219, 578259053, -1, 217427754, 61133304, 640906437, -1, 867342548, 425687608, 812979616, -1, -1, 240791378, 711331859, -1, -1, 141415000, 517298249, 108102008, -1, 642039045, 26695536, 944787099, -1, 223727973, 696071147, 458234202, 284379792, 545856312, -1, 605158364, 237176667, 211755899, -1, 349943549, -1, 792650871, 76783869, 682089927, 246632442, 492572451, 541365803, 554134920, 359327807, -1, 705150556, -1, 101417798, 227946109, 539314155, 356617120, 839255306, -1, 8783869, -1, 132894409, 740092293, -1, 651981228, 499840219, 47200930, 251161441, 389219501, 622374959, 737824023, 493817496, 60253464, 654509703, -1, 954771777, 633453038, 604045352, -1, 259733258, -1, 131973894, 382083916, 226914493, -1, 91559233, 588829106, 521792216, -1, 371479057, 719983785, 581508292, 144903401, 953494592, -1, -1, -1, 157250149, -1, 308525638, -1, 239931619, -1, 354155415, 703222338, 660930104, 5195733, 969302787, 191325015, 38443972, 155001956, -1, -1, 376837586, 543251593, -1, -1, 791771021, -1, -1, 577093783, 952854703, 213830171, 822370130, 490860188, 474750561, -1, 92338138, 683154870, 65193541, 34508560, 998961031, 355896547, -1, 353063593, 281985650, 981196296, 768026119, 862603070, -1, 108716107, 756006666, 46769708, 62571894, 598504402, -1, 19042428, 818182233, 128115150, 299812602, 91868022, 822723378, 144086210, 370748191, 127584022, 866736501, 169730317, 250113967, 510189957, 509615053, -1, -1, -1, 209312422, 110939216, 493962243, 444928719, 481127317, -1, 373791703, 32015986, 406041518, -1, -1, -1, 877312397, 625580976, -1, 450914604, -1, 525452322, 971234409, 412875893, 78747921, 52252403, -1, 807408331, 674756538, -1, -1, 322443082, 226502566, 933682210, -1, 390064770, 697494556, 334614432, 72048109, 870150658, 494110236, 765098624, -1, 968402715, -1, -1, -1, 298694215, 667851113, 195689468, 736848392, 949420282, 779651623, 388968493, -1, 25619124, 570042883, -1, 357868677, -1, 208249683, 109694141, -1, -1, -1, -1, -1, 864441716, 72877054, -1, 651341276, 234016067, 299424089, -1, 369190581, 233330666, 816830079, 697737591, 181141910, 649406325, 176530323, 662422921, -1, -1, -1, 465733596, 337095451, 468311101, -1, 295681631, -1, 898071118, -1, 163282515, 756957089, -1, -1, 619543606, 396940733, 588244492, -1, 512502686, 823418622, 410560609, 472397964, -1, 798732326, -1, -1, 667061343, 253967073, 300133801, -1, 533451098, -1, 117007555, 907722812, 462308121, 423705811, 475071515, 250389274, 265889833, -1, 419924470, 615217015, -1, 192437914, -1, 214122042, -1, 741058697, 510516529, 659448950, -1, 263200090, 39135964, 725225426, -1, -1, -1, 912878714, 493534750, 675174120, -1, 587529485, 438934490, 884377432, 217196008, -1, 276917990, 616482140, 142362848, -1, 590015555, 137789384, -1, -1, 656053126, 408880921, 547742958, 969197799, 916294261, 326377406, 177782085, 222059293, 655704183, 180795626, -1, 66414138, 687549616, 659580211, 359585913, 225366632, 829644334, 561581887, 60215926, 553961176, 100514649, 800998608, 315740471, 138071635, 322484605, -1, -1, 245563631, -1, 173520194, 279572542, 316784586, -1, 461984358, 452832595, 295136582, 454827870, 998703282, 626256124, 959749669, 362743610, -1, 391692523, 616474536, 434756025, 915000103, 106244498, 574724069, 85810875, -1, -1, 233464158, 541591471, 337923110, 895096496, 844083108, 539254801, 638315451, 556164193, -1, 928072663, 424306159, 358436881, 268072283, 72414761, 944246162, -1, -1, -1, 662804657, -1, 914002582, -1, -1, -1, -1, 118922014, 661937187, -1, -1, -1, -1, 630062809, 651095843, -1, 813304991, 453849011, -1, 703191997, 849884122, 409673428, 390543560, 557893793, 903608871, -1, -1, 634409529, 815172944, 567581020, 539512055, 760440351, -1, 124948186, -1, 735175295, 128856289, 774496736, -1, -1, 359263775, -1, 344392176, 20003847, 413012490, 390624900, 980425924, -1, -1, -1, -1, -1, 548528467, 355809763, 968302517, 129381696, -1, 385000887, 764145800, -1, 96367522, -1, 673707983, -1, 549741277, 726590681, 554449552, 184331371, 581251278, 570823582, 296033526, 517431036, 99089484, -1, -1, 921684695, 683026806, -1, 757764179, 560223423, -1, 303373979, -1, 29492517, 641658720, 846062306, 27468840, -1, 105725743, 30428610, 883798356, 392551611, 121237116, -1, 446991535, 874175897, 162452527, 210527243, -1, 513130179, -1, 309249107, 753703685, 728252927, 77444787, 644614703, 98799214, 821261540, 655617786, -1, 340139079, -1, 890252852, -1, 568089045, 512131660, -1, 56222052, -1, 356576643, 521051028, -1, 655153298, -1, 691302353, 718300753, 930180770, -1, -1, 357058562, 784495066, -1, 814181564, -1, -1, -1, -1, -1, 468722832, 439101954, 473416308, 550618605, 764469355, -1, 238029218, -1, -1, 459442600, 407061774, 637196716, 675352410, 231460699, 986862731, -1, -1, 846823804, 512982472, 133269319, 305897235, 591513235, 615803595, -1, 943256412, 486422443, 339356954, 571936959, -1, 920522903, 743443770, 203566588, 40227419, 16935506, 547740672, 557886588, -1, -1, 532286028, 108038579, 349858291, 487451961, 687121756, -1, -1, 438840231, -1, 404752773, 758165303, -1, -1, -1, 687189776, -1, -1, 518986595, 71496113, 604780123, -1, 445443192, 61116193, -1, -1, -1, 636188724, -1, 651375753, 772989843, 415173116, -1, 407437251, -1, -1, 557698560, -1, 824862775, 268460674, -1, -1, 364096983, 582316448, 481366914, 868447886, 723241535, 51242095, 996705871, 161237329, 532948561, -1, 420344874, -1, 671435892, -1, 387500254, 655862564, 428938254, 650118083, -1, -1, -1, 868586010, 427758761, 223778397, 618588352, 332281062, 398224352, -1, 72574926, 599386423, -1, 679130202, 377551735, 843241445, -1, -1, 28342318, 153661607, 442295387, 422091450, -1, 34849625, 671265566, -1, 931229237, -1, 633584437, 169976147, 706254583, 503559616, 555994320, -1, 829943140, -1, 218241987, 940749234, 409491179, 712477994, 649821401, -1, 879043419, 36544729, 897319427, 463610149, -1, 376934647, 766919958, -1, 562439151, -1, 691308355, -1, -1, 306372403, -1, 727000117, 273353949, 207694807, -1, -1, -1, 439008594, -1, 807555098, 855234663, 995147249, 585940090, 317718993, 404645127, 337483997, -1, -1, -1, 304326002, -1, -1, 33777105, 51031165, 981588611, 855702436, 22822053, 520419882, 751651229, 406894170, 904760122, 815022782, -1, 233251446, 938636159, -1, -1, 95757045, 864661460, -1, 671900721, -1, 145838892, -1, -1, 708841752, 595982943, -1, 634035782, -1, 164570657, -1, 465662077, 594887186, -1, 150419507, -1, 743612646, -1, 428144775, 848629680, 665647493, 644694069, 856994045, 475835049, 894189095, 842924753, -1, 836073155, 330126589, 441846545, 382201582, 824134263, -1, 132426463, 288505629, -1, 819694429, 108128114, -1, 147290522, 770864043, -1, 898813343, 294418795, 823502599, 739681610, 717905497, -1, 923443172, 5481379, 765110343, 531624361, 718263511, 483331039, -1, 108585281, 593703594, -1, 302159818, 933920506, -1, 514881249, 577808380, 447739733, 859597481, 980452289, -1, 244090152, 194225416, 207875896, 320337997, 653794340, -1, -1, 207995389, 217126970, 413457769, -1, -1, -1, -1, -1, 110960613, 333860709, 174477694, 956545379, 622679062, -1, 575291873, 365766465, 5621974, -1, 832291800, 234927166, 517181274, 798945227, -1, 753817670, 131331409, 393900528, 959495547, -1, -1, -1, 261486981, 924484925, 535236493, 835083928, 513024251, 74138005, 193034923, 713602886, 915271791, -1, -1, 668794084, -1, -1, -1, 744152352, 638876968, -1, 637874877, 151725828, 464011447, 531824401, 660082055, -1, 602388007, 142635021, 94596637, 693513119, 267243141, 940156845, 575283188, 214359425, 51821229, -1, -1, 872439242, 218680840, 52760885, -1, -1, -1, 115110141, 441508284, -1, 606990803, 358044407, 781473101, 854776668, -1, -1, 971373897, 583522811, -1, -1, -1, 881943880, 465560383, -1, 938101183, 180239113, 828472555, -1, -1, 520718748, 553249736, 413901929, 428132612, 989067097, -1, 931702388, 555699801, 975996590, 75562454, 120113188, 456833479, -1, 917489405, 109769027, 933984603, 520154130, 915231723, 524002567, -1, 984229203, 84572893, 725298502, -1, -1, -1, 748457819, -1, 756466918, -1, 489777136, -1, 981945424, -1, -1, 977074419, 120085307, -1, 786105713, 189440485, 539212300, 262215938, 528365516, -1, -1, 950128351, 43788983, -1, -1, 507556286, 420931115, 306959665, 431130702, 21744568, 393282330, 759768718, 338544760, 182969611, 160552520, 384137368, 60223389, -1, 139079660, 453725908, 237174836, 101571330, 560202735, 871398669, 149526602, 451461243, 983067821, -1, 620305848, -1, 850260600, 96713716, 514779178, 183331053, -1, 487473630, 398887175, -1, -1, 771169728, 343990992, 252232350, -1, -1, 497863257, 24078587, 43612499, 961213187, -1, 717218819, -1, 774849056, 589402454, 407354214, 238541760, 160161557, 552850993, -1, 120120500, 132368991, 432691599, 198176797, -1, 196190960, -1, 247314313, 2094993, 630432313, 897030312, 265137541, 179263278, 643957359, -1, -1, 895973622, 703928669, 249748240, 462045500, 919750241, 639345147, -1, 408545702, -1, -1, 767555075, 703308533, 403805158, 667148942, 240232942, -1, 309951116, 495948731, 143576854, -1, 769344087, 491715280, 497370916, 920167842, 61602023, -1, -1, 920941826, 327375363, 132176457, 818012215, 627176516, -1, 443591126, 882124372, 679907680, 17447529, 993599826, 228930787, 443963143, 635036689, -1, 959450182, -1, -1, 92320476, 404790961, 649100924, 535318226, 742797720, 198218508, -1, -1, 574796849, 148123860, 906663441, 255443078, -1, 910689320, -1, 981192185, 190233399, -1, 200391925, 308951501, -1, 716369899, 871396717, 674071088, 321567889, 808929175, -1, -1, -1, 739109262, -1, -1, -1, 923054775, 915188519, 340467563, 168710679, -1, -1, 434135713, 358295133, 421073160, -1, 377209918, 758907285, 158543304, 300348895, 621048330, -1, 964546011, 466237695, 907714033, -1, 165758706, 788019430, 657898488, -1, 775126518, 438433505, 540677034, 803605040, 812301650, 988702727, 524639659, -1, 30559378, 798618624, 237036347, 319771032, 983600989, 696321185, 562877699, 188073061, 990761292, 676130588, 434151799, -1, 247833761, 936694589, 139908127, 749388141, -1, 76056023, 204513516, 604290475, -1, 662568304, 229724393, 312661275, 64703418, 89066293, 927647526, 121550326, -1, 127314366, 53340882, 988705953, 979611594, -1, -1, -1, 278442543, 782908177, 88247704, 939349003, 467140054, 587571551, 726704358, -1, 685701607, -1, -1, 597341752, 546643739, 920474894, -1, -1, 851461761, -1, 856646903, -1, 666671481, 884832427, 543877611, -1, -1, -1, 212558550, 341941158, 257389983, -1, 222733390, -1, 394216695, 962918188, 910319361, 426545958, 50407169, -1, 865616323, 758606504, -1, 715953709, -1, -1, 65455298, 792088619, 850151088, 806235201, -1, -1, 705145227, 163723359, 324279974, -1, -1, -1, -1, 17672823, 944131568, 58186357, 255871650, -1, 602510088, 616503260, -1, 951557918, 351735640, 178631505, -1, 542601992, 536499903, 332105068, 553835968, -1, 379708980, 572632170, 950669495, 208265629, 459955325, 604548680, 806196924, 724817195, 604296287, 600866873, -1, 863766587, 522981677, -1, -1, -1, 207558667, 36787096, 529972440, 228605785, -1, 374922751, -1, 859891531, -1, 263747954, 608474914, 326326211, 755956258, -1, -1, -1, 289416161, 549278499, 85524418, 173278765, 692979769, -1, 258543259, -1, 32243193, 110561345, 155811103, 932854247, -1, -1, 98486205, -1, 233817240, 572069197, 470636614, 885877343, 442641637, -1, 248902249, 941888234, 32114609, -1, -1, 856332329, 868568937, 375224932, 566435485, 162626734, 6460877, 267630279, -1, -1, 136148247, 345955175, 513940382, 223055541, 453815081, 498461490, -1, 443438021, 849533626, 517931544, 946622571, 955272557, 613405943, -1, -1, 698837855, 864851368, 886459179, 459910939, 700005700, 460291545, 778790045, -1, 987004393, 409768153, 618833000, 281761476, 348863109, -1, 525900478, 853494194, 663327315, 783608927, 668592887, 139210659, 408567151, 840753563, 722972536, -1, 590146845, -1, 588385013, -1, 993072229, 337978876, -1, 428994378, -1, -1, -1, 324964049, 666187083, 83711295, 109971275, 917776045, 761887738, 398159879, 16888035, 499216384, 831158442, 789522190, -1, -1, 280348842, 453541648, 611978076, -1, 436913050, 210323850, 670918283, 199417208, 963676748, -1, -1, 243436248, 883386304, -1, 437542125, 535565332, 256467341, 189343970, 972843838, 317955565, -1, -1, -1, -1, 417887237, 964327572, 954361329, -1, 30894873, -1, 54161079, 846962710, 454397314, -1, -1, 47641460, 196712893, 567356159, 696956475, 571941318, -1, 898609153, 714530404, -1, 38234791, 572033298, 365772734, -1, -1, 558123425, -1, 45391020, -1, 183217998, 311160885, -1, 269832296, -1, 997907656, 463898963, 620509432, -1, 495628825, 561699614, 705541330, 478277767, 682149106, -1, 718758425, -1, 826915837, 125045306, 220885159, 759080600, 615500672, -1, 339321158, 180215395, -1, 779083244, 430743751, 900157776, 34002861, 644783899, 719268253, 741297038, 909063493, 842410781, -1, 178508703, -1, 838529294, 887396736, 240143912, 242004650, 874750545, 740828741, 379771075, 907397197, 466637813, 349061240, 990616929, 714736461, -1, -1, 402182577, 266839816, 446673734, -1, -1, 594572613, -1, 729912645, 157025097, 721152603, -1, -1, -1, -1, 351394641, 785478860, -1, 92460342, 859660238, 717469310, 393829057, 567289244, 745293889, -1, 714493581, 243037848, 756187030, 500077033, 22136887, -1, 147011092, 17504915, 470346636, -1, 851187651, 587698052, 677770604, 309066631, 654566923, 846150946, -1, 749225330, -1, 876698191, -1, 817046160, 337006858, 961908989, -1, 731805012, 486474871, -1, 135167591, 839013430, -1, 998121989, 168238808, 579490861, -1, 417422085, 322190817, -1, 910064926, 745682914, 637244606, -1, 421948573, 335809291, 409983640, -1, 14049625, 758120389, -1, 454734074, 342458954, 275267372, 280815653, -1, 517682543, 891259080, 229387187, 646150188, 683024659, 645638086, 688335388, -1, 554153799, 311550011, 60530509, -1, 706040146, 204313168, 533879889, -1, 776391397, 504298654, 845357489, -1, 671726114, 525363653, 838758078, -1, 220714659, 326692674, 327690342, -1, 481253118, 872759799, 156940688, -1, 595328324, 321403462, -1, -1, 563928710, -1, -1, 63577161, 464368485, 779696454, 65156525, 591355395, 581564112, -1, 6609746, 774242375, -1, 12617808, 880530079, 922658472, 253807191, 977878005, 973260843, 580801090, 914691175, 268343061, -1, 620124992, 275677142, -1, 907338619, -1, -1, 30725081, 46620108, 120738104, 148354235, 843972769, 814505607, 632085249, 308556412, 543967688, 97191953, -1, 733630955, 165794848, 620599242, 724501451, -1, 304983593, 27817716, 116875354, 235073457, 836044, -1, -1, -1, 134702160, 693865094, 315855325, 919100957, -1, -1, 4482251, 942157168, 159909006, -1, 548718640, 483701263, -1, 897521900, -1, 286867568, 655865915, -1, 640457297, 868572770, 558933038, -1, 369657281, 591196170, 630437476, -1, 50366338, 381243015, -1, 10630571, 249388417, 850918665, -1, -1, 287733515, 445346313, 613477919, -1, 848371628, 386050557, 337005466, 509231292, 891081201, 258171687, 106865366, -1, -1, -1, 441255310, 674826267, 239856922, 282633363, 16716637, 797292000, 939500790, 525952858, -1, 584887611, -1, -1, 444896546, -1, 957634484, 507784786, 487856283, -1, -1, 265709303, -1, 176360300, 166694605, 679741874, 60483681, -1, 956793179, 949762406, -1, -1, -1, 229461438, 300416088, 510540793, 321553150, 405758719, 450244978, 912079261, 654044614, 267640048, -1, 842574579, 208437584, 35777633, 955467128, 133195534, 286708456, 625421805, -1, 787926428, 642922427, 382325449, -1, -1, 191983230, 367526721, -1, 233155465, 742517469, 656995107, -1, 257356215, 130939454, 526212176, 660593572, 497239992, -1, -1, 464359273, 152706477, -1, 641214678, 259700724, 329091519, -1, 745803843, 65911393, 649896027, 916115631, 985272893, 631230979, -1, 502108259, 20486436, 896396195, 527313357, 191802620, -1, 657081425, 593324927, 918347085, 48869165, 489126790, -1, 70365484, -1, 14236954, 158741540, 643427602, 313636890, 136744520, -1, 556313907, 391709892, -1, 182366270, 306870537, 726454406, 828038254, 445961858, 95153871, 396689641, 937032652, 994220275, 27473425, 612276809, 413250493, -1, 474150647, 334050466, 583736802, -1, -1, -1, 769776636, 419018846, -1, 158220479, -1, 754103721, 216797438, 325202459, -1, 465098797, 490837825, -1, 750622542, -1, 301638024, -1, 80146686, 174983850, 30534737, -1, 598529442, 128683531, 270360716, 787869666, 231853961, 782972728, 176500365, -1, 427003775, -1, -1, 894626076, 504907385, -1, 270729625, 277917826, 591895535, 79258544, 554244492, 614242793, 591107693, 543718167, -1, 374541265, -1, 839444466, -1, 658369641, 513260899, 942594930, 688158714, 767291310, -1, 543488019, 869677473, 896026038, 600305861, 21367046, -1, 846598694, -1, 782141255, 763977800, 197886270, 873610064, 224385021, -1, -1, 513008238, 795576885, 858602712, 88678353, 423084866, 864161261, -1, 907119872, 569099522, 523930782, -1, 503900301, -1, 157768655, -1, 131647853, 250805441, 3091895, 424806358, 807043010, 905295278, 428228752, 651580982, 949377458, 21141122, 382973753, -1, -1, 107778539, 414460011, 597027308, -1, -1, 247183117, 849874417, -1, 383968645, 400339565, 315969535, 455712708, 3586192, 480910086, 307539030, 611810553, 768240371, -1, -1, -1, 276663319, 912720144, 73522733, -1, -1, 897496696, 507954451, 249053632, 752102533, -1, 957397082, 62239315, 50334568, 470417639, 504980125, 348995606, 292216309, -1, 4937908, 237631180, 782547002, -1, 315261654, 83500416, -1, 492254145, 368801455, 226587254, 480191745, -1, -1, -1, 169975751, -1, 711150736, 161358233, 597673163, 852412019, -1, 624769026, 284310796, -1, 434529831, -1, -1, -1, -1, 246989264, 275953359, 809813611, 102429285, -1, 552224256, 982729346, 629144571, 239846628, 914983969, 333122850, 549941700, 660446423, 899069531, 236791693, -1, 232783630, -1, 565962664, 443885970, 192445171, -1, 928455334, -1, 254057479, 397251032, 512636965, 806004925, -1, 978030408, -1, -1, 114294997, 303642185, 358204287, -1, -1, 457363219, 34600332, -1, 653592544, -1, -1, 753926668, 282143764, 393700900, 596465024, -1, 868312433, 877697732, 184296284, -1, 215680913, 561485285, -1, -1, 676449887, 463851777, 683233767, 905368954, 512863409, -1, 935623482, 76692439, 244242850, 460914102, 806037164, 517528295, 955071710, 326933062, 338676275, -1, 211515104, 360911863, 119582396, 72855417, 717271517, 316345293, 391188652, -1, 66550138, 102049501, 579052053, -1, 679360700, 833391499, -1, 976578238, 716785257, 647394982, 466448517, -1, -1, 699327733, 526841494, 587593519, -1, -1, 4122070, 706944136, 176091575, -1, 285889423, 118126910, -1, 277401907, -1, -1, 903905063, -1, -1, -1, 937395167, -1, -1, 843556342, -1, 113576251, -1, 470434470, -1, -1, -1, -1, 980224766, 8536265, -1, 294934153, 670582490, -1, 58324368, 402833414, 170878426, 708045987, -1, 915498507, 923595607, -1, 879310506, -1, 875729578, 137781839, -1, -1, 963439448, 141923997, -1, 836733258, 930531888, -1, 60518629, 229625643, 675701428, -1, 569078376, -1, 184848881, -1, 902499073, 859203066, 856800290, 993440828, 795434365, 811550686, 415306772, -1, 543894848, 12138467, 449796077, 323523339, -1, 664407701, 384526457, -1, -1, -1, 330562501, -1, -1, -1, 990704066, 467861222, -1, -1, 651783228, 182648972, 265536147, -1, 862091763, 621499289, 682153342, -1, 385622961, -1, 713417906, -1, 819055010, 254415714, 334456956, 741867978, 128820568, 249425230, 210649617, -1, 795684902, 319957435, 596598466, 599838272, -1, -1, 300252029, -1, 170997796, 146978335, 375877826, 278445780, 437461011, 967366048, -1, 348018381, 631979320, -1, 600957385, 953164236, 629992819, 248248418, -1, 825082545, 175216267, -1, 861147395, 265940273, 380867919, 512709045, 330439661, 164153896, -1, 484986765, -1, 737240904, 574013272, 21836359, 609888560, 868777796, 607639920, 831694106, 772037813, -1, 246371888, 932529044, 903344765, -1, 41931915, 367733845, 415634235, -1, 973962796, 160474260, 258402059, 629169439, 356139940, -1, 395116004, 993415537, -1, 85414231, 674745017, 357897773, 71738213, -1, 435290021, 156058252, -1, -1, 516037163, 292171594, 588543909, 467268746, 337373424, 323235292, 393192032, 96115221, 984860910, 859681846, 146936975, 202339117, 41838551, 786905804, -1, 905647363, -1, 59998573, 34463871, -1, 969206293, -1, 613847473, -1, 660907373, 617817248, 368748411, 6349409, 587267849, 487347087, -1, 948827974, 681097184, -1, 879241588, 561048598, 679868430, 996141375, 336451525, 687292821, 964171654, 953904511, 800257519, -1, 116404812, 694881476, -1, 147210057, 389275531, 124948641, 774448046, 364284236, 462408402, 278096213, 819965194, 780687115, 622734623, -1, -1, 89666564, -1, 617607392, 531419720, -1, 657096976, 349490149, -1, 661942171, 449118340, 805157659, 529921530, 668360268, 566421598, 639028674, -1, -1, 267808008, -1, -1, 311274594, 102533562, 630727968, 241649954, 908185672, -1, -1, -1, 35987573, 900170151, 892734308, 317140159, -1, -1, 729756534, 577088953, 109885168, -1, -1, -1, -1, 479096603, 935844793, 642493833, 228874170, 749738860, 553312982, -1, 295447851, 533318245, 258300286, 670101667, 909839046, 773605218, 150702901, 788588852, -1, 649442246, 944453579, 67457098, 883110479, -1, 314857421, -1, 894247304, 716697745, 424487665, 824519614, 87106815, 948089357, 737573333, 151931957, 326366939, -1, 371392101, 4546864, -1, -1, 810025953, 655060284, 520000777, 333082423, -1, -1, -1, 613963435, 682687268, 942700745, 647308115, 825649872, -1, 498231317, 622168407, 215928106, 759099733, 217192227, 100069732, -1, 686830793, -1, -1, 782535321, 497766307, 276297702, 478368199, 883156385, 259165100, 677965688, 498934781, 796638742, 837080428, 515304342, -1, 52620504, -1, -1, 578228759, 79868809, 363451861, -1, 989395917, 5211508, 646053797, -1, 953349617, -1, 664226754, 936925990, 177945642, 928104469, -1, 806818298, 23080036, -1, -1, -1, 790721900, 896007331, -1, -1, -1, -1, 606574866, -1, 638475459, 755059365, 584500264, 393233159, -1, 902072981, 550029751, 293499756, 510436180, 215942465, -1, 577948818, 81053814, 453427199, 923957774, 951357171, 119386619, 929916339, 667589187, 997671340, 90557952, -1, 229397764, 183751820, -1, 593802054, 493846311, 511871984, 986539149, 997274800, 195126759, -1, 87649358, 594936709, -1, 983989356, 155175389, 152288976, 355567940, 88622978, 738765207, 65112127, 801799043, 877455163, 652404748, 986234449, -1, -1, -1, -1, -1, -1, -1, -1, 190011399, -1, 577102560, 536049238, 419455490, -1, 794247118, -1, 309975590, 831226891, 591830386, -1, 611701717, -1, 780669887, 266726689, 319264448, 806164868, -1, 837397281, 568433951, 643656574, 895105099, -1, 288595551, 7191624, 638242959, -1, -1, 690375612, 42607563, 683932195, -1, 824261119, 964061696, 628975702, 660375187, 131882125, 955898692, 980033375, 558809673, 769908827, 209838250, -1, 107943796, 352289253, -1, 128612256, 637963833, 923711129, 699925383, -1, -1, 529898006, 631125971, -1, 66348555, 895374581, -1, 818580660, -1, -1, 126585110, -1, 206017431, -1, 92532952, 227037659, 579159608, 616573155, 356558428, 944075815, 169602072, 661657017, 535800943, 395546385, 578947558, 708500147, 216019035, -1, 414550009, 835567433, 416652581, -1, -1, 549025500, 683367372, -1, 121181742, 809842134, -1, -1, 59097449, 27756400, 840893667, 699150947, 634009531, 977051336, 643034769, 334825565, -1, 675260397, 876114596, 954376701, -1, -1, -1, 476293056, -1, 920036227, 927670094, 375972821, 950489687, 894996484, 513123444, -1, 387826280, -1, 750987121, 773535418, 493532408, 846369648, 665646927, 428642183, 679972177, -1, -1, 561071407, -1, -1, -1, 785759774, -1, 702804020, -1, 703726491, -1, -1, 332798966, 71220321, 246089977, 503386139, -1, -1, 606743316, -1, 421174327, 957395711, -1, 942737262, 492978361, 48938643, 940064029, -1, 824560154, -1, -1, 961547559, -1, -1, 213376488, 237695835, -1, 884542102, 182095408, 295648785, 711040393, 138979273, 996886504, -1, 320249698, -1, 611611619, 7047793, 943986114, 840060858, -1, 965471893, 475429275, 950991649, 747684054, 912656815, 121030899, 283881814, -1, 780321716, -1, 795972605, -1, 423514219, 17733505, -1, -1, 758001785, -1, 21545878, 972445960, 880968311, 342231143, -1, 732669394, -1, -1, 695131926, 799250640, 654822934, 675394758, 140158979, 779819717, -1, 825534060, 94843688, 492106489, 758647602, -1, 350368024, 879143985, 501404925, 555403836, 314623134, -1, -1, 230128647, 762842724, 221860654, 394424010, 843344130, -1, 192714422, -1, 281001123, 335196311, 267029670, -1, -1, 6156567, 991068933, -1, 2187830, 768433138, -1, 651987180, 227882286, 794572036, -1, -1, -1, 373496614, 427729167, 219849942, 666494236, 564263040, 738188504, 261150384, -1, -1, 622810623, 979985424, 608884483, -1, 139770884, 917379288, -1, 415265586, -1, -1, -1, 603219042, -1, 803206351, -1, -1, 548419463, -1, 149428637, -1, 442342960, 608690430, -1, 668386645, -1, 347250498, 780196975, 173561398, -1, -1, 731103400, 75461575, 88046018, 648426167, 301228228, 223435751, -1, 964337196, 789675860, 512593901, 491008184, 143119188, -1, -1, 311053714, 283604074, 415077092, 973883930, -1, 409410153, -1, 542849045, 661724081, 964914849, -1, 432449069, -1, 11302461, 951153535, -1, 831908513, 861055141, 25862089, -1, 805774480, 609830438, 521168722, 757471613, 399336245, -1, 841412266, 754007901, 782747204, 625446869, 735065709, 797678707, 546636282, 925668855, 807108620, -1, -1, -1, -1, -1, 729461322, 500094359, -1, 569883723, -1, -1, -1, 504950752, -1, -1, 133297898, 645316197, -1, 139119129, 631173998, -1, 983842259, 675139528, -1, 137445060, 325693263, 494478179, 814442724, 658675786, 225282399, 135195105, 809339344, 922384365, 792877486, 214669310, 653253072, 682165712, -1, -1, 294630821, -1, 924656467, 441842571, -1, 178666825, 828261626, 481775525, 411664094, 968326944, -1, 365243973, 457467145, -1, -1, 842520006, 679261940, 419267516, -1, 543157635, 119027482, 327678960, 32166056, 560942314, 763478923, 189430711, 795195632, 399624934, -1, 958049141, 480598519, 992292710, 845905105, 232101361, 889604063, 901821808, -1, 468166851, 888996855, -1, -1, 740600530, 356196302, 660535283, -1, 966724146, -1, -1, 28154959, 770979720, 12535336, 377088809, 600282933, 111968909, 69689532, 521696252, 637146844, -1, -1, -1, 215016064, -1, -1, -1, 970366772, 491671283, 235579900, -1, 374911891, 894279300, -1, 873660457, 737751746, 864345458, 216134834, 442119129, -1, 99247568, -1, -1, 887629692, -1, 208614433, 217085753, 65410129, 760001812, 360775006, 94140724, -1, 33894035, 679183272, 587628055, 516196548, 647388211, -1, 519363331, -1, 216886927, 748876048, -1, 537215550, -1, 280421929, 600947435, -1, -1, 850511340, 187180198, -1, 260015523, -1, -1, 999402157, 723490701, 228493819, 995630144, 436101181, 318233135, 430041519, 897365707, 85652404, -1, -1, 818119399, 869436044, 749322540, 869801532, 94559255, 645075416, 179895728, 515236145, 782902593, 942004242, 217375064, 322195434, 404478830, -1, 956992432, 405950636, -1, 525307202, -1, 827895502, 838307434, -1, -1, -1, 914007398, 120028990, -1, 34438426, 83961528, -1, 695978075, 795945527, 426823034, -1, -1, 3682097, -1, 342108794, 733931278, 295069809, 551898070, 141009557, 909158032, 163552814, 923777991, 938586238, 37712661, 855514257, 203049877, 777687652, 395385516, 567510876, 485571350, 342025629, 380732695, 146898093, 918279295, -1, 338635379, -1, 330174186, 84619768, 728613364, 26942615, -1, 854194543, 768045965, 255004134, -1, 499856482, -1, 926219615, -1, -1, -1, 529384975, 178979530, -1, 792098569, 103575687, 21681507, 897583621, 352339139, 442143732, 656948412, -1, 187088092, 222080715, -1, -1, -1, 765108950, 335575299, 793768409, 394172884, 477630094, -1, 635596372, -1, 846313588, -1, 734534989, 437506303, -1, -1, 328105716, 36519376, 409988716, 186738942, -1, 636201501, 160960668, -1, 208506408, 369962225, 897724884, -1, 34591471, 731899941, -1, -1, 434264715, 832843118, 815458547, -1, -1, -1, 17295196, 576621403, 981659954, 632827814, 544795337, 46455510, 37772367, 428843859, -1, -1, -1, -1, 39203659, 949556404, 299196726, 217423079, 608621639, -1, 423432182, 525017843, -1, 26628480, -1, -1, 731554285, 487292079, 88801156, -1, -1, 303220916, 215280994, -1, 468937046, 915585336, -1, 82679208, 699459386, 932360083, 810982195, 889097609, -1, 792219729, 941718039, 656341978, 422108334, 493949725, 291155470, 200619907, -1, 132382491, -1, 180305998, 244909515, 592393287, -1, 550760074, -1, -1, -1, -1, 760483893, 325365078, 866030047, 648514855, -1, 187060620, 851502903, 280505813, 404819885, 662052981, 756375747, -1, -1, 829755793, -1, 923746249, -1, 805670411, -1, 285902609, 251934673, -1, -1, 642544394, 376737163, 564894662, -1, -1, 39399070, 737991851, 54161954, 710854309, 559417840, -1, 90385552, 978916961, 255096716, 339019174, 799851897, 964753347, 103898322, 766313344, 933762712, 433220227, -1, 517975260, 481638484, 623471030, 445255210, 509788644, 495565569, 169735486, -1, 831743069, -1, 86136841, -1, -1, 426672941, 491028638, 392389818, 641668422, 926685560, 246063693, 608694579, 747310814, 659286919, 883332570, 759969321, 933674054, -1, -1, 132751854, 554194703, -1, -1, 946213304, 225576352, -1, -1, 379060644, -1, 378547417, 602679759, 35241586, 215402206, 405012369, 64073564, 573722708, 955701150, 198306230, -1, 380341898, 272142669, 916938964, 935197750, -1, 162094406, 483294671, 284066451, 743107235, 921904466, 57775891, 659014597, -1, 396392846, -1, 317150245, 190609861, 375509894, -1, -1, -1, 532113122, 69974099, -1, 716811167, 499163015, 11670465, 444638541, 909488007, 735570223, 63526961, 195559216, 35074936, 31885973, 928043991, 312949597, 989373669, 366214988, -1, 501301629, -1, -1, 588866472, 803545273, -1, 671486895, 389017931, 304383930, -1, -1, 249982825, 697797110, 310600355, -1, 68610557, -1, 919770113, 756701318, -1, 443314468, 337100898, 178844509, 853140979, 382609158, 209371378, 342346029, 342211948, 323961306, -1, -1, 952412497, 769561937, 442928681, -1, 418287755, 229525879, -1, 178732870, -1, 380396841, -1, 851157823, 266393344, 805692804, 250590408, -1, 198861002, 808878879, 164183624, -1, -1, 930864071, 133776922, 578390583, 673517601, 247281684, -1, -1, 770940089, -1, 567993856, 641765949, 477783143, 434791846, 260123904, 94885382, -1, 387594261, 543850633, 929446568, 374665506, 792193590, 500366833, 931470674, 186554519, 422144161, 901369456, -1, -1, 463419912, 818203332, 54725598, 870437123, 824183458, 863715761, -1, -1, 484998401, 151059009, 90154678, -1, -1, -1, 963855790, -1, -1, 660579435, 233514275, 104357270, 441856405, 194097414, 476008093, -1, 334361319, -1, -1, -1, -1, 616359761, -1, -1, 785656963, 315249361, 362163572, 250651691, 143995226, 937024788, 539764192, 919937129, 512034700, 330187012, 798531467, 538628858, 22723263, 161922312, 57360582, -1, 971541716, 715620718, 235368141, 888915467, -1, -1, 408653286, 619492976, -1, 285707721, 739409175, 462367926, -1, 287513165, 629445853, 528085491, 375001984, 194215752, 135081308, 62244406, 309953425, 557753850, 108241104, 902249568, 624660597, -1, 456167493, -1, -1, -1, 440439899, 157448376, 650763565, 87361824, 142150533, 14946742, 492409640, -1, 711786702, -1, -1, -1, 197145683, 834464151, 980109879, -1, -1, -1, 16117667, 10547861, 67239088, 142229225, -1, -1, 461166648, 612324787, -1, -1, 4575768, 237860835, 326807216, 470236844, 469313155, 330464444, -1, 46759321, 507152277, 653320409, -1, -1, 74680360, 712177882, 336343700, 749945874, -1, 819732430, 647922283, 702340681, -1, -1, -1, 529741830, -1, -1, -1, -1, 87535278, -1, -1, -1, 832539553, 100579652, 753461736, -1, -1, -1, 425096017, -1, 540715209, 265018024, 165999980, 363330996, -1, 378775277, 34545955, -1, 191787157, 979263630, 17544060, 499719077, 219178094, 552689466, -1, 738323369, 243336113, 464595103, -1, 918874243, 981398559, 708799766, 721686537, 208094445, 100252048, -1, -1, -1, 492071953, -1, -1, -1, -1, -1, -1, 739550168, 984124643, 570780917, 367112194, 629730460, 741432809, 359214066, 962841560, -1, 593616386, -1, 180515717, -1, 884835605, 946705270, 102724011, 268358737, 988191422, 423833408, 943294878, 909400403, 674496204, 944292374, 351507725, 617387111, 878405595, 551680433, 55235560, 677648625, 307957798, 910719527, 986880987, 89545444, 978373504, 58151399, 691898577, -1, 989843714, 712942295, -1, 17234225, -1, -1, 849484014, -1, 909897097, -1, -1, -1, 557527688, 718054519, 648819954, -1, 698759342, 276160953, -1, -1, 466482629, -1, 352964229, 724784767, 165437519, -1, 502952072, 689384078, 495037056, 161282991, 849362292, 213653030, 121729226, -1, 949725348, 387580181, -1, -1, -1, 147166013, 238386713, -1, 126380361, 940817194, 723352630, 644043935, -1, 69729908, -1, 239333651, 972129742, -1, 490077491, -1, 322357674, -1, -1, -1, 908225047, 649667822, -1, 61487167, 185906636, 211234028, 224436277, 131634223, 520359538, 557364091, 262007194, 2461019, 30301050, 896291609, 694063402, -1, -1, -1, 244065398, -1, -1, 22335105, 824830124, 686560770, 707617326, 576393615, 894941510, -1, 395338954, 218320563, -1, -1, 195362668, 242911133, -1, 829511924, -1, 263570326, 395138702, 884776303, 77214721, 740886199, 90327358, 486286182, 245018194, 295456224, 528508880, 186795243, -1, -1, 709001497, -1, 263639230, 176074680, 24309828, 817105020, 799329518, 468777870, 634558473, 408033663, -1, -1, -1, 989214879, 147497147, 774352307, 815231391, -1, -1, 282011329, -1, 223032145, -1, 751484974, 510763182, 106896785, -1, 382603768, -1, 685197289, 470865619, 994939168, 413078731, 152913038, -1, 294464056, -1, -1, 309565198, 948214557, -1, 74154798, 527945335, 355641962, -1, 7198805, -1, 636151357, 369132833, 330500956, 885314820, 617526651, 678044641, 991071093, 326522254, 682682363, 434902613, 689636108, -1, -1, 647768661, 21119653, -1, -1, 359821275, 497752461, -1, 22262997, 48779118, 224634113, -1, -1, -1, 773214609, -1, 40341113, 623322297, -1, 856920430, 560375647, 991038794, 712594056, -1, 463469927, 218796752, -1, 127567971, -1, 718985786, -1, 940238558, 512281603, 573358560, 64676130, -1, 348268302, 137338087, 363424896, -1, 38204240, 692141290, 11319177, 40242390, 767010937, 585591007, 926090636, -1, -1, 260850536, 535889311, 305113103, 790952470, 334988866, 968346178, 894273637, -1, 275090505, -1, -1, 738445072, -1, 573106449, -1, -1, -1, 899791733, 101763957, 46024982, 658462530, 988193977, -1, 439625030, 447923692, 355154855, -1, -1, 378627229, 921432817, -1, 941606990, -1, -1, 167388154, -1, -1, 352940047, -1, -1, -1, 892533595, 125250357, 207829802, 829861114, 977358983, 834933188, -1, 275554450, 800804269, 446268316, 275927448, 875133046, -1, 493645252, 930361833, 155857274, 473445098, 276608785, -1, 734894846, -1, -1, 324368265, 118464527, 733789486, 448947139, -1, 927436858, 666328500, 800762403, 764992915, 219162258, -1, -1, 622926416, 618363483, -1, 492971545, 50717021, 346314174, 969166422, 46113328, 200739843, -1, 939949279, -1, 246157261, 480078290, -1, -1, -1, 285909932, -1, 843344117, -1, 481911797, 459263266, 820581066, -1, 504617139, 140148122, 871562145, 953980207, 980181989, 369847050, 461534227, -1, 815055317, 950290675, 281111642, 768825677, 334985676, -1, 78782052, -1, -1, -1, 48288764, 1737798, 604536780, 103006888, 274715030, -1, 190182433, -1, -1, 230548168, 954967908, -1, 855118835, 667057612, 590311786, -1, 821629222, 83125544, 416926080, -1, 997139351, 182200133, 668862154, -1, -1, -1, 105027090, -1, 484362947, 223129492, -1, 307506245, 232426422, 47467067, 705390085, 497858322, -1, 308860440, 758553207, 789149872, 73263710, 905067990, 984945463, -1, 124284850, -1, -1, -1, -1, 203169322, -1, 128795686, 879426035, 162528344, 173907787, 957146134, 26050603, -1, 352430888, -1, -1, -1, -1, -1, 33099490, 309518177, -1, 204208972, -1, 114220185, -1, 469521805, 913891375, 795442344, -1, -1, -1, -1, 569310493, 219016343, -1, 646961894, 507315691, 855010648, -1, 655112445, 346819177, 394854980, -1, -1, 350870616, 196395445, 279752736, 823058852, -1, 780552366, 877869684, -1, -1, 898045509, -1, 382105207, 118619197, 281771746, -1, -1, 520012439, 882753917, 733930643, 193010141, -1, -1, 922563208, -1, 262955930, -1, 119246406, 484589407, -1, 649565478, 519948153, 843960804, 910551266, 6406786, 477243076, 222456595, -1, 377506552, 426603327, 651337638, 108735123, 801011717, 791748546, 46233969, 773673033, 167226179, 379243745, -1, 869964627, 441633572, -1, 423715325, -1, 890489324, 571728091, 834167101, 362205866, 361829807, -1, 411673007, 298958798, 368722267, -1, 141889199, 891037915, -1, 912732134, -1, 575217462, 202068597, 728679617, -1, 992273205, 642750298, 321308791, 97354942, 5334531, -1, -1, -1, -1, -1, -1, 311833295, 920215437, 264828367, 589561529, -1, 145888245, -1, 663287082, -1, -1, -1, -1, -1, 530950970, 631847423, 860392580, 54830713, 214208511, -1, -1, 599289215, -1, 85206793, 497652817, 746524498, 550889434, -1, 556486269, 499620117, -1, -1, 455161003, 631514616, 97602300, 802830899, 608548907, 944562989, -1, 200022332, 867398641, 870686290, -1, 249919082, 204071426, 489579709, -1, -1, 791474196, 884444926, 8889859, -1, 340645271, 542611283, 548081261, 95768932, 736624149, -1, 151255030, -1, 29294142, 258264805, 500430521, 60015233, -1, 518594854, 577429491, 731206445, 385053838, 886316305, -1, 856893886, 321743555, 769313409, -1, 474603125, 95192990, 447769130, 402085400, 60471742, 211989360, 789127949, 938623228, 835069972, 297183359, 35357143, 687621789, 529984629, 600072276, -1, 506121248, -1, -1, -1, 986910163, -1, -1, -1, -1, -1, -1, -1, 22933876, 340043676, 564309875, 624495839, 366371069, 805426483, 757785001, 554129203, 847941598, 189331623, -1, 562147469, 218136735, -1, 669276278, 466922767, 372035238, 448180220, -1, 767501589, 175879071, 667760081, -1, -1, 819963969, -1, 407762027, 96445376, 397123289, -1, 659691537, -1, 806078817, 514718651, -1, 203448874, 650152560, 243425200, 234796699, -1, 253475437, 226790918, 519202965, -1, -1, 525702790, 810648939, 229298522, 872176857, 785788241, 211526819, -1, 655771150, -1, 103292567, 262566659, 859111637, 474037977, -1, -1, 823731746, 774446946, 399843643, 67672466, 590209590, 909730093, 86923633, 427422139, -1, 792616803, 81396515, 931242188, -1, 306449080, 796090694, -1, 781584486, -1, -1, 159975221, 265088465, 395142200, 749721342, 306280697, 249621902, 580758617, 170060131, -1, -1, 287769155, -1, 250515660, 654205268, 367765493, -1, -1, 548681104, -1, 192464776, -1, 9169474, 224405965, 440079855, 793824888, 911222993, 539939386, -1, 528338335, 225690293, 808302093, 956651697, 941250358, -1, 49017570, -1, 22391533, 8792096, 92144787, -1, 184020994, -1, 128864030, 962927604, -1, 984134866, -1, 391491859, -1, -1, -1, 618492990, 433931320, 476697951, 764622066, 535084833, 40687781, 227184252, 876082154, 388797593, 248983094, 216938228, 62158732, 31505331, 379839633, -1, 609308685, -1, -1, -1, -1, 410647017, 36821603, 76757177, 252179835, -1, 791073172, 367449680, 193473810, 3641384, 491384065, 23463423, 542915759, 493127925, 895420101, 586470827, 69319671, -1, -1, -1, -1, 303732087, 190572322, 833768699, 220582241, 513120726, 756531941, 474065900, -1, -1, 144933993, -1, -1, 776451065, 495365243, 952383931, 393168677, 632524119, -1, 372915407, 299834841, 9574325, 592452785, 457342968, 739519370, -1, 811782511, 768990264, 157754805, 257047768, 459798800, -1, 123475305, 505105326, -1, 764638661, 927552504, -1, -1, -1, 48301838, 479895992, -1, 351333747, 103536467, 830784127, -1, -1, 390440106, 126680001, 734662313, 500868592, 997876832, 543531877, 421678469, 812890772, 851905279, 570675652, 751953587, -1, 493280708, -1, -1, 651464699, -1, -1, -1, -1, 277209788, 370946871, 123703155, -1, 418025568, 509070940, 242897973, 143644455, -1, -1, 863601672, 257234088, -1, 472875010, 846558792, 623684863, -1, 364039479, 494521395, 595017875, 853624305, 563263905, 113110298, 59006105, 68986444, 320433941, 90864165, 566647849, 229187392, 351230105, -1, -1, 796521238, 654156813, -1, 14079183, 317833223, 665911605, 135889114, 780099841, 573351636, -1, -1, -1, -1, 952713764, -1, -1, 237484509, 629502566, -1, 837589929, 770886566, -1, 260633055, 595332335, 771577689, -1, 141040835, 516269058, 204413750, 315959996, 874303606, 426387762, -1, 573060032, 556876970, 209140281, 875150724, -1, 813170874, -1, -1, -1, 452420969, -1, 84873925, -1, 675341781, -1, 840829093, 224220763, 440322094, 856212471, 708733319, -1, -1, 501284019, 790250773, 854807880, -1, 206350220, 562882279, -1, 643259869, 874556332, 439299339, 844120877, 694279073, 635059537, 798019581, 236096730, 977938637, -1, 480108165, 30910731, 113172330, -1, 434453957, -1, -1, 687228685, 925796128, 599577621, 371003071, -1, 38372873, 562787846, 264237509, 713936207, 324735229, 368733023, 614349024, -1, 732735649, 101660537, -1, 56762936, 584538402, 413253134, 181883793, 378710856, 28899029, 923620134, 678673106, 939531207, -1, -1, 722865324, -1, 922134992, 91475214, 804039820, 791412967, 554490703, 234960147, 583972680, -1, -1, 942355912, 93157539, 636150028, 269081421, 985987341, 751210737, -1, 410855899, 218607043, -1, 424867093, 792173153, -1, 696708334, 701502183, 893804035, 320994005, 419167287, 726704578, 889259775, 421028764, 484254357, -1, 519133004, -1, 49743750, 617160130, 600117648, 444218466, 468427367, 710623133, -1, -1, 676280092, 174835941, 266630162, 392451113, 459246656, 833789756, 934773009, 306306809, 784209276, 625310722, 308406020, -1, 972923478, 67600807, -1, -1, -1, 492828695, -1, -1, -1, 216636094, -1, -1, -1, 815202692, 175832341, -1, 103644639, -1, 919623248, 819338241, -1, 154651590, 192247914, 501188593, 28350149, 794188748, -1, 690883129, -1, -1, 749399306, 694254125, 602942749, 395793588, -1, 78558380, -1, 682085908, -1, -1, 450437827, 125139580, -1, 91973481, 253624983, -1, 441137340, 286267929, 861555821, 910786894, -1, 386521532, 243265748, 382719361, -1, 892465534, 490678645, -1, 666563017, 254625048, 359786390, -1, -1, 455714073, 59545411, 224552724, -1, 212999720, 974290600, 361538676, -1, 404865540, 875767462, 714915817, 737469074, 402595748, -1, 716751204, 469693712, -1, -1, 744918138, -1, 109626463, 338238330, -1, 890476978, 584192260, 220788294, 691042449, 838598739, 697309499, 601294465, -1, 683050992, 92623478, -1, 313462685, 764168462, -1, 375869910, -1, -1, 990442925, -1, 206778574, 433696782, 195837959, 151165069, 688903110, 558826519, 480423939, -1, 86400373, 119019518, 901230002, 89821600, 741625406, 402869108, 929393407, -1, 763567988, 938558520, -1, 779111780, 219967458, 688484957, 245423844, 608062140, 456899735, 258125972, 37018660, 99138569, 680780803, 392144180, 783388725, 57212875, 677976708, 386374760, 864849840, 697572700, -1, 372723389, -1, -1, 566327422, 398867561, -1, 860063504, -1, 542813395, 195570642, 17742759, 450716041, 516182043, 640994801, -1, -1, 655009713, -1, 382194194, 405197576, 241100353, 292703797, 984084446, 753306447, -1, -1, 185948478, 903846768, -1, -1, 389525144, -1, -1, -1, 118972780, -1, 148354325, 340741327, 241101918, 176507800, 762030079, 83133115, -1, 301196537, 4796896, 255328516, -1, 990108565, -1, -1, -1, 207006935, 208323783, 201037652, 289723760, -1, 239392513, 664972692, 864743200, 82489308, -1, 937791338, 783213679, 716833977, 991900354, 828151840, 820226576, 686731678, 975665745, 974560498, -1, 45926434, -1, 629900920, -1, -1, 451504294, 719928990, 792842866, 559898816, 295515683, 35400809, -1, 847297143, 294122128, 661552114, -1, 871608009, -1, -1, 640082635, 758443875, -1, 733612593, 14177015, 403302114, 913747846, -1, 770140498, -1, 688002289, -1, -1, -1, -1, -1, 946842803, 116559715, -1, -1, 823157659, 833994091, -1, 891151993, 903519919, 998468242, 378114112, 767969821, 403637434, 219106292, 355538323, -1, -1, 565002037, -1, 518117515, -1, 859912631, 734012911, -1, 154206110, 758555266, 96497578, 489467144, -1, 349431567, -1, 593208521, -1, 966716587, -1, 285305766, -1, 157659107, -1, -1, 512322551, -1, 189913267, 554907225, 549097694, 70150541, 194311602, 349030742, 890004892, -1, 393608736, -1, 156570026, 759336740, -1, 679547609, 613360864, -1, -1, -1, -1, 306588959, -1, -1, -1, 687961619, 661744478, -1, 946999538, 206740909, 291342961, -1, 973249321, 387392986, 697770129, 970981200, -1, -1, 483401027, 448385023, 42166248, 252905145, -1, 219464911, 966787664, 603335458, -1, 479153284, -1, -1, -1, 480552592, -1, 356790161, 778062884, 649918931, 213558941, -1, 49688204, 781501575, 208313272, 446518940, -1, -1, -1, 223538475, 937905856, 506563489, -1, 266043762, 995949594, 528201712, 381312790, 383803774, 535484282, 76853503, 989615996, -1, 934714809, -1, 969813766, 689545237, 977896084, 733675493, 462041194, -1, -1, 228234279, -1, 104401534, 671549755, -1, 55017900, 660492729, -1, 355590056, -1, 669675242, 322461961, -1, 898596718, 516667081, 58132852, -1, 885961113, 269270498, 644870562, 285986564, 742415045, 458850510, 311087321, 412992469, 715662461, 329891768, 522618969, -1, 846885286, -1, 593415669, 23485597, 779277733, -1, 894021501, -1, 794155468, 471392609, -1, 878876086, -1, 687276788, 150589961, 563534922, -1, 615302917, 316238459, 905345267, 127952858, 953432395, -1, -1, 311217610, 31487037, 664590028, 159863305, 82939049, -1, -1, 51403518, 343548002, 210765514, 487463755, 286890512, -1, 874606826, 239063452, 482844075, -1, 736900120, 649890721, 834396916, 170499556, -1, 423787338, 759489878, -1, -1, -1, 39178853, 975996906, 247942039, -1, -1, -1, 767757654, -1, -1, 27836189, 281024201, 738543347, 233369123, 146614554, 714904086, 42825648, 955969138, -1, 997105685, 19840836, 436930151, -1, 318164873, 804077000, -1, -1, 322804882, 600422360, 441510992, 733261609, -1, -1, -1, -1, 327261883, 1405372, 9601807, 246721088, 700742855, -1, 582695642, 878227830, 379362986, -1, -1, -1, -1, 488268577, 698388915, 388100822, -1, -1, 596991767, -1, 843842442, 260997801, 140990062, 993131654, -1, 132606386, 88722709, 241255070, -1, 43582790, 31681500, 885366507, 4689316, -1, -1, -1, 519766225, 640636423, 178189366, -1, -1, -1, 729694968, -1, 938126524, -1, 610462756, 615939433, -1, -1, 730341142, 492194547, 243666158, 332875672, -1, -1, 444049679, 457800770, 373934304, 267839514, -1, 372028371, 321354460, 320396211, 534500395, 608163386, -1, 298116805, 69513851, 222349381, 556479186, 11440940, 553430622, 969537984, 172742698, 576954674, 975870812, -1, -1, 33512273, 484718274, 943118713, 43485982, -1, 739721990, 149038761, 298833828, 647324678, 542269649, 285311436, 420138650, 998854686, 785674463, 398455126, 537537607, 952454187, 720893895, -1, 612485239, 964072602, -1, 489954691, -1, -1, 634340837, -1, -1, 250123225, 472019801, -1, -1, 511283138, -1, 815620944, -1, 460592423, 945052191, 820305569, 751167202, 889588017, -1, -1, 254148507, -1, 753410721, 773723550, 610796802, 326378259, 845678000, 378876582, 34562259, -1, 863606155, -1, 555969144, -1, -1, -1, 924255941, 504119356, 964008418, -1, 652598821, -1, -1, -1, -1, 504090431, 658162751, -1, 31855053, -1, 32118831, -1, -1, 758478088, 110290878, 6236627, 716230752, 358433639, 217723907, 932541808, 328016220, 348000897, 570522337, 724125238, 665736012, 600821731, 731527227, -1, 58787185, 42699714, 706698380, -1, -1, -1, 882626503, 279313051, -1, 131573537, 916883122, 171612021, -1, -1, 246089503, 767545470, 185295940, 262337648, 63775732, 136937140, 834631970, 473207788, -1, 330616445, 100272542, 412385565, 255998799, -1, -1, 186578048, 237538033, 738269098, 270163687, 766818784, 98994959, 927722973, -1, 840219721, 965168603, 15930894, 294201123, 643514842, 160681071, -1, 442691567, -1, 958872539, -1, -1, 363639368, 767421047, -1, 202715844, 488565059, -1, 298742374, 554435089, 999830443, -1, 418758745, 551214922, -1, -1, 84100851, 746584458, 529304001, 700389155, -1, 82411755, 384247762, 682158596, 56302731, 683101781, 589143312, -1, 202706669, 542637659, -1, 44915995, 763362092, 429964446, -1, 516956492, 764277473, 805217952, 975190704, 318226417, 521101389, 650436039, -1, 708038353, -1, 185484167, -1, 374193976, -1, -1, 596154330, 626852190, -1, 950238742, 346790901, 599758081, 324563395, 457504955, -1, 306514682, -1, 805651709, 368590869, 910985688, 848064783, -1, 166193130, 987124058, 94835491, 899431841, -1, 537478470, -1, 329288838, 524944436, 749747818, 90518936, -1, 988220731, 494587354, 820771497, -1, 698696414, 720438473, -1, -1, 481043933, 344815780, 72822453, 981048832, 726119764, 992418351, -1, 599530788, -1, -1, -1, -1, -1, -1, 972741836, 944793046, 683575799, -1, 49430857, 647419935, -1, 883675595, -1, 769334224, 733241185, 392751811, 160418922, 791381024, 400309368, 627130554, 32026956, 261364389, 477860694, 510381329, -1, -1, 382252329, 272150024, -1, -1, 153639412, 432224804, 812184066, -1, 665424442, 745646155, 509792145, 584485299, -1, 406653, 557155357, 890505807, -1, 224681399, 628893642, 192851705, 203829599, -1, 825669841, -1, 285820982, 945264091, 968955403, 300625880, 622074052, 156461269, 404983032, -1, 148790835, 599858609, 809073940, 564216309, -1, -1, 205419194, 821663351, 931351502, -1, -1, 462357204, -1, 7131339, 789794501, 129797886, 351471919, 263614219, 89921499, 603422197, -1, -1, 865787425, 725537731, 913679765, -1, 464418125, -1, 951603041, 720013398, 290570702, 134002967, -1, 179903361, 837557076, 243026945, 979429810, 841797070, 854694037, 200638053, 24144764, 597477708, -1, 239098172, 182394624, 466244386, 463827791, 173354652, 931788938, 136857655, -1, -1, 38058993, -1, 712913136, 223403482, 749808235, -1, -1, -1, 171301249, 176520290, 365376943, 212866440, 526876518, 884054488, 864538312, 305550015, 191227982, 511835830, 142416070, 439935561, -1, 233177103, -1, 352617334, -1, 515389385, 642969132, 118070782, 550675374, -1, 868411998, -1, -1, 914201252, -1, 103837905, 694531505, -1, -1, 915399663, 613109442, -1, -1, 42480788, 78001894, 623575984, -1, 689081256, -1, 707060638, -1, 289059525, 295191339, 824549257, -1, 249131205, 289078014, 97968280, -1, 690783843, 243908237, -1, 781746958, -1, 584348588, 281424970, 286892152, 820967167, -1, -1, 720048875, 659852046, 352581371, 182286977, 801917562, 301487618, -1, 962630561, -1, -1, 158038212, -1, 195020211, -1, -1, 218952977, 248351883, 285577915, -1, 718361091, 826695678, 382562302, 782320414, 930465530, 623814758, 196286844, 952591446, 134530814, 672922795, -1, -1, 230955653, 365153121, 818475171, 745599102, 571304947, 415942581, 7206141, 468378477, 868815399, 394154337, -1, 470283322, -1, 444432415, 101537132, -1, 401150519, -1, -1, -1, 624185021, 365314120, 695592973, -1, -1, 218798996, 950070858, 651445835, -1, -1, -1, 405619549, -1, 139233302, 30381178, 717246813, 983607383, -1, 187171367, 205236311, 309137029, 979556649, 886200053, 11871945, 131284997, 663269367, -1, -1, 801863957, 974166003, 283943557, 274000117, 23634260, -1, 354063819, 294207501, 794945685, -1, 325442775, 202488858, 258158482, 216103237, 31493803, 926079993, 210373402, -1, 642602594, -1, 732661813, 557917305, -1, 615745828, 897794880, 278392498, -1, 697559794, 231963253, 262444699, 678820329, 220101358, 8888924, 431641679, -1, 628835452, -1, 657590985, 517612300, 574169391, 260918851, -1, 246631129, -1, 520462938, 676866503, 499193536, -1, 263441104, 618523347, 892767922, 443449824, 737458933, -1, 634084418, 911774122, 873362218, 8113044, 213913077, 811179739, -1, 785036282, 427171395, 678988485, -1, 439323714, 964968605, 61613699, 724013090, -1, 675926653, 829356360, 207573059, -1, 789221299, 527073816, 710553207, 642537211, 87574714, -1, 558748384, 884494980, 674300889, 835303330, 508898861, -1, 986544770, 621401449, 734608118, 718827609, 834948254, 484841881, 246039396, 928984342, 366804799, 892337525, 485542299, -1, 776021030, 630474944, -1, -1, 203096828, 949743725, -1, 707052731, 573769718, -1, 402934191, 676593975, -1, 97126593, -1, 304441574, 819769586, 328337413, 379288375, 861041788, -1, 6306653, 817877845, -1, 495721906, -1, 296763807, -1, 217608578, -1, -1, 695489170, 506195112, 742366025, -1, 491983248, -1, 61289954, -1, 328617377, 285538796, -1, -1, -1, 536714612, -1, 796454479, 351613858, 649929807, 196212464, 707523429, 439752184, 985753589, 456191793, 532193012, 833309767, 70649426, -1, 160434873, 649945409, 85010566, -1, 4644203, 694519766, 835549947, -1, 428800203, -1, 878676147, 388754818, 584400488, 848358599, 116209930, -1, 395860689, 215692480, 872924185, 443933015, 789294539, 234385987, 393299286, 586002553, -1, -1, 355614140, 518915035, 986924596, -1, -1, 78607590, -1, 684159216, 51144223, 813652077, -1, 170650239, 202461703, -1, 576298399, 441332623, 764858913, -1, 550428953, 949181504, 395902445, 279461058, 877933898, -1, 702467316, 671502675, 660127584, 176131440, 652240016, -1, 608474865, -1, 649078893, 766183212, 704905975, -1, 847177138, 24927607, 962757521, 695883385, -1, 7643987, 639332808, 307573368, 636038435, -1, 170228025, 734715746, 452054431, -1, 728463235, -1, 39461681, -1, 599861656, 623266273, 469897346, -1, 640331440, 227697837, 68243753, 300020351, -1, 350014618, 464864426, 747540614, 341770482, 774594360, -1, -1, 628169203, 727711127, 304903637, -1, -1, -1, -1, -1, 479825243, -1, 240219293, 535093063, 718990846, -1, 826230218, 518218465, -1, -1, 426441494, 50539438, -1, 746300413, 476232210, 311210886, 767273187, 279558207, 987794181, 701628602, 331224591, 103051613, -1, 418362288, 572606314, 457035748, 111475175, -1, 841572191, -1, -1, -1, -1, -1, -1, -1, 982822862, 828007361, 274496643, 61431478, -1, 463649197, -1, 581692512, 668083831, -1, -1, 204926359, 464277409, 22245993, 189490162, 18010815, 182547597, -1, -1, 953762065, 808697681, 92202229, 981306248, 958407216, 389771055, -1, 432684817, 498780293, 421642095, -1, 123770293, 973132396, 975849833, 590646593, 74574766, 416658760, 684365946, -1, -1, -1, -1, 315239801, 315690623, 248229615, -1, 745303121, 802439329, -1, -1, 858163055, -1, 232179442, 625273988, 332101375, -1, 354594346, -1, 592050111, -1, -1, 526664283, 310780780, -1, 127323240, 660527418, -1, 95798434, 840304936, 384362455, 195414300, 803777467, 226958052, -1, 804915802, 502325466, 317275184, 550459990, 770785611, 629598817, 700293182, 351100312, -1, 648369261, 150880451, 390854990, 251395283, 708405484, 492995459, -1, 293036657, 540915699, -1, 324524899, 287627152, 736947796, 409610311, 906825670, 276494582, 839780235, 502653395, -1, 238249154, 94292365, 331380069, -1, 343529941, 967683482, 409506785, 877326266, 395346491, 670055832, 629913716, 604386805, -1, 388269062, 451151500, -1, -1, 400996798, 797581620, 892414894, 805595616, 566824911, 182037949, 310603763, 151986406, -1, 19487853, 497160286, 523123486, 226078609, -1, 935634471, 228692346, 361885627, 516219680, -1, 196114722, -1, 675757178, 365413450, 594941324, 629470002, -1, 185115227, 289878736, -1, 234855671, 280025469, 967362732, 183528743, 240294332, 618678950, 604223488, 283353791, 491369178, -1, -1, -1, 758676018, -1, 317528788, 545062965, -1, -1, -1, 321571357, -1, -1, 85145877, 86579104, 812260110, 972642500, 370313006, -1, 815371600, 965144826, -1, 280448812, 889468250, 280794358, -1, 128475648, -1, 794073940, 847951710, 329981586, 471765798, 898519019, 984458771, 123461923, 86273724, -1, 631598614, 215539075, -1, 983555622, -1, 463737223, -1, 176937654, 281212452, 147292272, 68239907, 705563607, -1, 101449998, 245937107, 225810808, 658452552, -1, 705851276, 234208260, 966874334, 904522303, 41302408, 580905588, 960618021, -1, 734535858, 727325504, 584136560, 444496214, 728505392, 394587441, 248775656, 133377207, 838980944, 427989562, 135009403, 17253795, -1, 274047660, 996328632, 40975470, -1, 600682748, 179643172, 272020902, 836305373, 34769467, 453446232, 937200889, -1, 629810047, -1, 268587666, 761431235, 323559682, -1, 838791709, 537576432, 985622238, -1, 220810936, -1, 551049414, -1, -1, -1, 788857966, 242111199, 326832963, -1, -1, 319169111, 653746375, 484933682, -1, -1, 116405826, -1, 30247965, 782515224, 724625517, -1, 457931278, 966972193, 124450434, -1, 955854507, -1, -1, 805128937, 937028436, 512810234, 45501010, 254064422, 177303326, 557767634, 164456959, 775094388, 85402587, 616998556, 55291430, -1, 331033713, -1, 609285009, 67632114, 889552307, 130690877, -1, 916724582, 489477618, -1, -1, 60986940, 251255243, 760283034, 842605221, 223482561, 435663246, -1, 117799919, 584344930, 755198090, 480296506, 509410912, 600436748, 442988742, -1, 463662450, 400055804, 886802661, 461051013, 851498896, 795676524, 402459451, 419311940, -1, 41018084, 533140539, 754315646, -1, -1, 512235930, 671416075, 353962233, 529031969, 229789227, 145356933, -1, -1, -1, 275394670, 802896169, -1, 476545449, 507223113, -1, 310428117, 700292315, 774804737, 526026905, 426695538, 783944708, 589274445, 985748593, 517750724, 679975077, 620665641, 950255617, 607295806, 968701515, -1, 595918564, 5401567, 992322116, -1, 302893579, 516179471, -1, 877669594, 863784119, -1, 848420524, -1, 49529443, 458737764, -1, 678406940, 571866223, 267333493, 403912092, 362209704, 897630830, 301044666, 754436637, -1, 562072156, 402086359, 757010338, 13047278, -1, 978547740, 265847727, -1, 647493397, 823885779, 838539714, 469604397, -1, 890955608, 286851812, 522336919, 683445481, 136751372, 598283271, 351819424, -1, -1, -1, 260909089, -1, -1, -1, 96444503, -1, 625648238, 804832856, 863761602, 373137727, 556878534, 318834836, -1, 462661268, 64555565, 605987254, 315501691, 990324586, -1, 832221103, 231997607, 763621021, 294594012, 255540922, 222337077, 835782989, 400255692, -1, 211460553, -1, -1, 37875962, 405071521, 622534176, 847648413, 582215396, 431840733, 727902073, -1, 884638406, 424623099, -1, 35037379, 549635097, 745832956, -1, 446060410, 559502163, 246041905, -1, 760726012, 625270305, 160374082, 88707447, -1, 12359900, 560103089, -1, 831056724, 335003310, -1, 290971534, 132247143, 445216487, 681678034, -1, 629590183, -1, 315384748, 584744606, 233483809, -1, 631186416, 525819424, -1, 338123007, 422607232, 647308072, 107862131, 568592272, -1, 435670487, 85684439, 17636065, 230129410, 761189977, 814068923, 539449863, -1, 305231496, 44960580, -1, 177521099, -1, 343823009, -1, 697641800, 381568040, -1, 109414415, -1, 111289037, 835969940, 427987401, 458289117, -1, 983875465, 418792421, -1, 538389850, 808194010, 665926517, -1, 803168091, -1, 794877592, -1, 9064553, 367031241, 347159819, -1, 65149570, 825246539, 486951087, 310401406, -1, -1, -1, 348536379, 128981552, 906827001, 51901892, -1, 662342316, 70493553, 101963142, -1, 981788080, -1, -1, 405104367, -1, -1, 613032423, 721517015, -1, 214746683, -1, 160834846, -1, 533104761, -1, 721483204, 879962525, 774106514, 28332962, 507214979, -1, 312002710, 897084772, 62140091, -1, 360429841, -1, 746281329, -1, 113844009, -1, 852066418, 650600079, 780805430, 818163629, -1, 583064354, -1, 49341323, -1, 217236410, 988144571, 213206908, 907192753, 760576957, -1, 90871304, 533904506, -1, 124941537, -1, 902329272, -1, 268766802, 82111211, 71387220, 712901962, 602626718, -1, 647794393, 694695079, 299235994, 533493944, 227135911, -1, 913334514, 980594817, -1, 146430781, -1, -1, 957862856, 61683924, -1, 7028197, 287179348, 149675775, 431887651, 677728704, 358702238, 209185103, 779339727, 338070852, 466167453, 38748579, 592838380, -1, 366950612, 674941388, 950574765, -1, 787192748, 38143979, 41007823, -1, 981936660, 871647898, 264870592, 84962698, 388101446, -1, 819132598, 973020964, -1, 143616147, 213604011, 668958875, -1, 712120673, 378062953, -1, 652397889, -1, 414634885, -1, 647632864, 471212710, -1, 945628344, 716959536, 377973270, 69570299, 647152256, 313350659, 849940432, 390153808, -1, 66063569, 934732012, 835009534, 116951212, 78225681, -1, 55187873, 719106234, -1, -1, 416168978, -1, -1, 531800402, 210166714, -1, 322326506, -1, 396068810, 169759209, 293570971, 321568114, 143018700, 720074672, -1, 226835302, -1, 963448085, 900212560, 776276583, 236431205, -1, 23211550, -1, 571999398, 395654569, 526781852, 466784300, 24326759, 586597965, -1, 528231660, 122431718, 384039399, -1, 338818808, 115820794, -1, 220716945, 515841451, 115111323, 920474717, -1, 424077963, 693379024, -1, 524007838, -1, 832690326, 671935596, -1, -1, 163799465, 305715709, 473778584, 197572146, 932262443, 827137873, 835825821, 107168463, -1, -1, 814710095, 109915102, -1, 17837122, 93251632, 302725011, -1, -1, 657269358, -1, 220542477, 867239842, 928278444, 498617461, -1, -1, 241729289, -1, 50489200, -1, 853706017, 482959322, 938591239, -1, -1, 343271690, -1, -1, 64427954, 192317801, -1, 274763421, -1, 359433321, 302865210, 144823879, 639296005, 473348376, 731323966, -1, 485480790, 788468318, 659349983, 750301561, 349704728, 610407017, 610961893, -1, 613918029, 561872878, -1, 972921532, -1, 132949805, -1, 368771800, 292719685, -1, 451739770, 455294770, 718372741, 935778304, 947922665, 371087222, -1, -1, -1, -1, -1, 302905995, -1, 644635735, 596701487, 647870756, 736205992, 248227912, -1, 290215555, 936930591, 450455458, 161241642, -1, 723041390, 305062778, 342489583, 531649344, 698418412, -1, 210486796, -1, 457986401, 756928735, -1, -1, -1, 501762778, 688094938, 108486641, -1, 611334917, 951104551, 855445625, 296314662, 240846836, 120140200, 21932799, -1, 293822014, 469097115, -1, 757917785, 393889921, 807255001, -1, -1, 738343602, -1, 966406633, 178428367, -1, -1, 221067037, 324405560, 649714931, -1, 137639817, 947250056, 214036928, 261586107, 331636239, -1, 176556363, 655454146, 271442168, 141477947, 779650175, -1, -1, -1, -1, 668820050, 153014544, -1, 619441652, 24528776, -1, 553500092, 158941118, -1, 17430119, 640152520, 358720611, -1, 73878160, 990410311, -1, -1, 824083508, 970065117, 706442009, 74494862, 899554140, 291246543, 134813365, -1, 780656805, 770242217, 32852855, 832429177, 474041379, -1, 271292636, 872260202, 132938167, -1, -1, -1, 771481029, 479607101, 914550551, 106655239, 221934251, 679669553, -1, -1, -1, -1, -1, 934601700, 870184251, 149963426, -1, 717609403, 675575206, 553210736, -1, 71377925, 684346749, -1, 439177917, 952786075, 315979102, 901685934, 417867318, 669523293, -1, 612395826, 73289217, -1, 592470958, -1, 708518057, 359403880, 487512039, 532729073, 369414185, 155492060, 599651216, 182887034, 432220446, 326602776, 949922425, 942499643, -1, -1, 915086209, -1, 137148402, -1, 253738728, 288692884, -1, 896237408, 861819665, 818969635, 302783159, -1, -1, 492416584, 919883665, 793763276, 284091027, 492154440, 225421498, 250194083, 503238509, -1, 391317477, 43887881, 35488252, 974637278, 943502114, 74251707, 565583899, 237617622, -1, 286283643, 531461011, -1, 525906044, 168676028, -1, -1, 983393625, 658695448, 518238120, 309767838, 481217047, -1, 605077875, 819521104, -1, 469337099, 230134651, -1, -1, 892963686, -1, -1, 121039969, -1, 407949375, 142104470, 249357479, 444216813, -1, 592654915, 794583325, -1, 590875128, -1, -1, -1, 649699580, -1, 104796078, 830811812, -1, -1, 902825828, 992085005, -1, 123122900, 201709906, 172358121, 89780866, 736278359, 719687975, 26965823, 924830508, -1, 280739121, 164940466, 60453710, -1, 464280859, -1, -1, 921801758, 962100868, -1, -1, -1, 941558574, 784288478, 790296255, -1, 77475405, 147521587, 281639134, -1, 699464225, 799009540, 907163437, 568510153, -1, 988718186, 596954620, -1, 586367149, 460321019, 593874789, 327025952, -1, 183812009, 610428430, 33384260, -1, 469424493, 776798896, 517706636, 706048335, 750724421, -1, 482551671, 863201861, 547771721, 498976993, 724847514, 551380167, -1, 985341757, 551443205, 341957746, -1, 832969700, 374123098, 992354336, 21672193, -1, 755806307, 320997751, 179457153, 10836344, -1, 860041942, 533845162, -1, 48433794, 535594909, -1, -1, 177230203, 85660167, -1, 848325860, 881418237, 497052614, 933000846, -1, -1, 460668567, 113418572, 861222688, -1, 178839044, 526744243, 687995037, 177795005, -1, 924650495, 392775611, -1, 579733739, 286158423, -1, 998407930, 546742037, 881154536, 571301543, 874427099, 994492136, -1, 681899443, 355005656, 830468606, 967972356, 97350967, 961971412, 93233426, 925699689, 230077488, 584910204, 574661221, 792110813, 535604515, 108569500, 173498637, 297519153, 2940313, -1, 612726872, 985395621, 504173751, 515996230, 455893767, -1, 189937986, -1, -1, 660564740, 221991468, 629190781, 362567715, 496512548, 867619599, 25313855, 719692574, 948220502, 361031209, 431102788, 771559185, 118681604, 100793770, 806520585, 982760260, 797383160, 260469094, -1, -1, 360814299, 850237126, 673760273, 753800584, 691150151, -1, 280391273, 607972764, -1, 227254750, 940657491, 481904670, -1, 66385916, 586094376, -1, 119550940, 505371776, 145045574, 849751161, 170002549, 581849898, 482427889, 826631319, 457268056, 9975408, -1, 304767542, -1, 862758297, -1, 598040145, 496389675, 635062891, 365179642, 475247481, 760454362, -1, 41615163, 280231240, 430253409, 22162863, 589922340, 152049180, 315619585, -1, 733140531, 557611647, -1, 749376807, 50251261, -1, 565732734, 419070345, -1, 129893477, -1, -1, -1, 544318139, -1, 325478250, 106080422, 405833062, 193724731, 372425513, 297505560, 386563692, 902215872, 149064198, 212074323, 981146356, -1, 289044699, 414181433, 180716274, 186121446, 77524239, 550809931, 362736699, 78727526, -1, 417547385, 374454967, 697628282, 946446747, -1, -1, 351188276, 823180477, -1, 238682283, -1, 491190051, 879454531, 422603992, 864295495, 493927797, 752913889, 480928059, 22145686, 698458326, -1, -1, 776991572, 558029870, -1, 267787183, 622064514, 118329929, -1, 276623892, 478376395, -1, -1, 398711569, 152547874, -1, 492666102, 270537157, 838018323, 655951030, 150208800, 357667071, 332739732, -1, -1, 60997961, -1, 282898760, 240698130, 856051473, 724074213, 574482673, -1, 66567680, 57234488, -1, 528097238, -1, 948587731, -1, -1, -1, 462400394, 406279644, -1, 370375194, 621412179, -1, 984453415, -1, 676051479, 505193413, -1, 350468223, 57391352, 947774691, 645534767, -1, -1, 148733723, -1, -1, 858874024, 551870229, -1, 834115737, 14736331, 681222769, 139330305, 815853040, 858258582, -1, -1, 800179900, 319574072, 853750443, 224865600, 728349387, -1, 738788858, 766950231, 748686733, 684162273, 430084160, -1, 840592063, 398290146, 507123052, 898541981, -1, 643156059, 930493419, 233025935, 985043918, 831779152, 166644437, 591404754, -1, 386060799, -1, 55742174, 37601463, 349769757, 290976383, -1, 779635012, -1, 949855968, 634485818, -1, 847298422, -1, 950525019, 459920446, 125769792, -1, 84257551, 474524327, 579187058, -1, -1, 296878434, 99032592, 73400832, -1, -1, -1, 554366730, -1, -1, -1, 867601982, 185819758, 670749210, 788875085, 728532682, 846849975, 201385786, 536341968, -1, 217487624, -1, 385831304, -1, 624296239, 686078509, 675526160, -1, 604280183, 991087350, 909493518, 760504185, -1, -1, 350556509, -1, -1, 119731123, 49828379, 9179698, 591678726, 407972305, -1, -1, 191763282, -1, -1, 735826390, 462219728, 415372367, 244276430, 752762322, -1, 350629211, -1, 686170982, 840172302, -1, 387608951, -1, 431283660, 410121702, 900305493, 265635359, -1, 423518694, -1, 713166665, 618799103, 790968872, 821201487, 141731035, 866064253, 182218377, 952998513, -1, 789831603, 266060097, -1, 869254427, 420838411, -1, -1, -1, 872495402, 49000918, 351395944, 592003184, -1, 636253094, -1, -1, -1, -1, 690263042, -1, 125609853, 9632629, 512544506, -1, 271410617, 292212586, -1, 357199492, 789145742, 758200955, 845254176, -1, -1, 69191366, -1, -1, 556482114, 921373736, 469505761, -1, 894221984, 14878866, 516430708, 722125081, 44538418, 8063479, 879201960, -1, 342690970, 786410330, 852132671, 139519621, -1, 645782454, 175594476, 38535795, 574053400, -1, -1, -1, -1, 366554318, 394085090, 279292177, -1, 252971832, 595734126, 717046234, 18299865, 159784991, 801228629, 835941323, 670574678, 476915578, 974939927, -1, -1, 596649152, 238817952, 183325522, -1, 2713764, 161606875, -1, -1, 666621770, 171910796, -1, 228967722, -1, -1, 938328345, 549521611, 69601331, 674669741, 434247986, -1, -1, 864420585, 929784665, 378284842, -1, -1, 65340653, 636763621, -1, 30512709, 390247798, 124265188, 949735197, 502671997, 738104069, -1, 711583385, 673106688, 738674782, 559833690, 215348658, 87604016, -1, -1, 269049269, 445767776, 378388263, 241520257, 941357796, 143541993, -1, -1, 537241687, 976592176, 589859837, 625355178, 547954344, 564827357, 728337472, 411179133, 154824792, 164113303, 399198654, 390653117, 760551764, 829414547, 747102986, 260165576, 620416158, 250065381, 539667322, 64777422, 344518290, 97298302, 882284977, 60018059, -1, 775274434, -1, 250870666, -1, -1, 688278050, -1, 379176705, -1, -1, -1, 718806737, 485899605, 211103153, 713566050, 642665602, -1, 303981229, 113451235, -1, 674088784, 759526101, 505023360, -1, -1, -1, -1, 473265228, 775054839, 973732446, -1, -1, 768642701, 290156763, 203785941, 319492643, -1, 458981429, 158564274, -1, 600067657, -1, 944604304, -1, 621310617, -1, -1, 541038785, 348550368, 788492521, 261394403, 219334806, 105442800, 91821932, -1, 348689209, 363036437, 553705680, 658942068, 147482869, 852191686, -1, 89822037, 786069720, -1, 460140717, 526882369, 952912186, -1, 127574349, 340620851, -1, 699798575, -1, -1, 331111456, 419228582, 267336541, 721328891, 949493931, 346251408, 916040800, -1, 492990621, -1, 414805251, 466025396, -1, 844034672, 647190031, 134297604, 775279556, -1, 399609390, -1, 629957208, 337596496, 340876129, -1, -1, 993526926, 483855338, 159075286, 391082205, 672987702, 868741849, -1, 266300537, 1782594, -1, 725069607, -1, -1, 378667622, -1, 569809348, 969534252, 140277049, -1, 619479924, 966374294, 795757124, -1, 306925853, 374446805, 17779233, 428282001, -1, 895692146, 251484736, 215350437, -1, -1, -1, -1, 180621486, -1, 826804300, 781084666, 72634154, 932690545, 530925739, -1, -1, 231781240, -1, 148567736, 289349884, 725145308, 517650292, 427833455, 563504876, 706673858, 526985902, 901737364, 21185385, 90271908, 474542658, -1, 851485032, 339755001, 843910371, 996468591, 217608780, 526216748, 840896546, 615126157, -1, -1, -1, 314225425, 808828923, -1, 945366188, 804500569, 36592857, -1, -1, 696447430, -1, -1, -1, 742599284, 485886479, 65104311, -1, 19374323, -1, 563429856, 700845458, -1, 181419530, 526027245, 667282761, 473627894, 407394498, 394328276, 233886635, 92847226, -1, 624289546, 454403137, 362778479, -1, 847675722, -1, 42771966, 273873479, 169801327, -1, 854481067, -1, -1, -1, -1, 78606208, -1, -1, 254814280, -1, -1, -1, -1, 760360468, 454864803, 470914369, 647150470, -1, 215033875, -1, 970987748, 431738692, 374510792, 659482484, 573159402, -1, 117231611, 861574110, 443664456, 994436606, 537226353, -1, 595656408, 42920443, 813822974, -1, 510640869, -1, -1, 120381530, -1, -1, 732186438, -1, -1, 907679449, 40206908, 50667013, 139574944, 265140165, -1, 646800288, 64921400, 863932628, 686843642, -1, -1, 736567108, 314316161, -1, 129325029, 683450350, -1, 547390798, 501395618, 633639047, 121295078, -1, 299536059, -1, 164350249, 411961602, -1, 182553195, 693732788, -1, 89350853, 410932043, -1, -1, 253124514, 847014609, 346815576, 572335477, -1, 223568487, 161670645, 283908681, -1, 73435025, -1, 736919285, 980564221, 562376175, 467011998, 616323638, 438338431, 338256148, -1, 672230682, 17134053, 65196609, -1, 973633278, 416905163, 590634477, 528933173, -1, -1, -1, -1, 350976331, 909106304, -1, 998864653, 869707165, -1, 433528503, 323578241, 436152501, 164867380, -1, 698768704, 934861967, 600820282, -1, 990955047, 780487967, 605430559, 757026269, 421550481, 347225316, 162612897, 718767693, -1, 89040345, 893883964, 188006388, 813227867, 794230045, 521426573, 784216080, 542295804, 558368005, 171696720, 372450903, -1, 880226053, -1, 336735893, 660432413, 181604037, 493184941, -1, -1, 36133377, 688075965, 285757374, 970170763, 58470121, 368997218, 459341926, 447741146, -1, 419185784, 654530937, 232385366, 205376562, 375624818, 957351447, 175866314, 535830476, -1, 364462235, 948414926, 463553438, -1, -1, 833446211, 224111968, 86557072, -1, -1, 580690313, -1, 344631847, -1, 715808833, 61206202, 816092059, 899678202, -1, -1, -1, 506613461, 794764452, -1, 485160316, 723211587, 687430623, -1, 279931920, -1, 910110399, -1, 112160888, 376062416, 528633966, 83902044, 36881900, 702065854, 579259187, -1, -1, 903803378, 865777666, -1, -1, -1, 550830768, -1, 900542956, 489236961, 415133890, -1, -1, -1, 490136567, -1, 253385982, 910126578, 633287127, 952814392, 452656314, 158531529, 101370659, -1, 890986353, -1, 641889377, 683069732, 176494820, 768740367, 34959418, -1, -1, 450675023, 187179392, 258017563, 956584179, 274292130, -1, 385331194, -1, -1, 835161005, -1, -1, 217612010, 28891317, -1, 563610845, 611568230, 237091876, 289397801, -1, -1, 739129923, 557051009, 3118147, 643088845, 738876822, -1, 822979183, -1, 190188368, -1, 352119517, 18141975, 118540437, 303013099, 647637362, 363679860, 768282996, 671170401, 751791891, 676372698, 143816996, 941033256, -1, 133193216, -1, 114311518, 396551121, 467565884, 964127206, -1, 458745149, 33791250, 152501712, 408095287, -1, -1, 586445897, 19992230, 340221474, 95365, -1, 366925824, -1, -1, 323321885, -1, 146373259, 855782698, 276848072, 480238398, 193471902, 5716601, 129114408, -1, 891498198, 364041071, 498406008, 621299190, -1, 445175732, 842380791, 334133124, -1, 131713919, 845257620, 866844661, -1, 339056643, -1, -1, -1, -1, -1, 788252403, 833753334, -1, 979593501, -1, -1, 848672168, -1, -1, 129149175, 249162847, -1, 250484143, 103730820, -1, -1, -1, 531217062, 786815155, 769723233, -1, -1, 654325460, 136721294, 367347430, -1, 633335696, 343320744, -1, -1, -1, 65340539, 861016639, 828859606, 569813328, 705191344, -1, 787551401, 152617495, 851744270, 862116529, -1, 470865678, 563612635, -1, 328551147, -1, -1, 602967812, 785899863, -1, 818124654, -1, 489699045, 216374950, -1, 791454435, 864029040, -1, -1, -1, -1, -1, -1, 159862293, 514519418, 90498196, 989908272, 345020633, -1, 493655785, 442994053, 418087212, 214571897, 844883794, 552737436, -1, 444072740, 882717564, -1, 98593999, 109981793, -1, 932507410, 665849035, 755824, 308581364, 791132324, -1, 291054959, 280277128, 287746016, 957302512, 192722557, 789577163, 885374559, 231716424, 702310504, 855160109, -1, -1, 956190607, 641290284, 974805545, 234742809, -1, 711320695, 28111530, 621138259, 17163725, -1, 698880241, 802608932, 382607786, 193265425, -1, -1, 529587857, 938634039, -1, 191630298, 498505353, 200594689, 569828458, -1, 971715332, 900263945, -1, -1, 578889238, -1, 65715090, 749461643, 375636337, 627160240, 846230715, 696327656, 105755288, 204447567, -1, 999720592, 187593811, 344159456, -1, 505417688, -1, 450814943, -1, -1, -1, 25612357, 607031172, -1, 108121401, 573981942, 10236285, -1, -1, -1, 951329325, -1, -1, 929845916, 774089394, -1, 360011258, -1, -1, 21292830, 293412497, -1, -1, 360688928, 492530518, 897941273, 288920655, 221487216, 136820259, -1, 83174785, -1, -1, 992363670, 511182474, 196796078, 109277351, 826254431, 360804744, 580780509, -1, -1, 571640375, 29607695, 739865532, 660331277, -1, 850540939, 671567373, 663943128, -1, 764717764, 68709568, 43735488, 776061679, 391136455, 814755368, -1, -1, 564590031, 75814086, 120096435, 260256830, 140901272, 901685787, 230417447, 8890381, 513609845, 688140301, -1, 111194747, 465872925, 17231097, 807031012, 454193933, 732642012, 441255059, -1, 649605125, -1, 120461791, 749074121, 821571947, 658563091, 38291902, 965056062, -1, -1, 38177214, 658072105, -1, -1, 338547545, 926019220, 558581784, 652260524, 200073438, -1, 696916965, 587926617, 119639282, 376949900, 934439853, 514114930, -1, -1, -1, 103299886, 948870755, 233266047, 253649477, 786672575, 328961088, 742239700, 519789984, 214291961, -1, 556534985, -1, 753421408, 890021271, 972076010, 166420642, -1, 408847573, 451476196, 863797578, -1, 476986577, 324451879, -1, 24781124, 958411579, -1, -1, 974812648, 13988070, 809102846, -1, -1, 167236294, -1, -1, 238550699, 9908602, -1, 280558642, 560063386, 755083668, -1, 957773007, -1, 614716781, 319222029, 974432377, 989564129, -1, -1, 923463290, -1, 255850146, 222489237, 194502411, 779194931, 947517067, 674479696, 497162338, 262101349, 567884973, 964813803, 534712293, -1, -1, -1, 571936233, -1, -1, 9173529, 519410248, 39445435, 170194879, -1, 264096711, 496194706, 402777082, -1, 889957299, 995589682, 315673030, 741282640, 30316888, -1, 65508451, 307217817, -1, 337124264, -1, 221606655, 938504853, 389736327, -1, 106282563, 859647431, 2453971, -1, 964837263, 570158015, 598355282, -1, -1, -1, 994191260, -1, -1, -1, 835718377, 803957410, 390137559, 629207030, 87594135, 18974092, -1, -1, 993735403, 441555173, 18655531, 60096217, -1, 569702296, 278152033, 142802426, -1, 368777876, 382966758, 920612752, 933634627, 180271100, 149537475, 969509548, -1, -1, -1, -1, 10002641, -1, 851645147, 444868753, -1, -1, 599357029, 569967276, -1, 545179811, 935756922, 827002236, -1, -1, 48310052, -1, -1, 593323607, -1, 532982413, -1, -1, 83855944, 224412473, 752880203, 269560378, 556945133, 218561222, -1, 209300875, 584012738, 774699851, 379821824, 829925168, -1, 804508041, 435753869, -1, 278554023, 843911353, 57057512, -1, 489175014, 447422378, 814471996, -1, 390692002, -1, 642246018, 839453168, -1, -1, 278781213, 85951361, -1, 484403358, -1, 481870444, 592255229, 39859091, 33853735, 539737351, -1, 999808968, 126977048, 785086024, -1, 663677381, 505566998, -1, 459245910, -1, -1, -1, 217375095, 139447098, -1, -1, 83041983, -1, -1, -1, 363809294, 620045178, -1, 615365901, 293808128, -1, 152318811, 878946862, 560798893, 833778689, -1, 8147260, 191870234, 311868228, -1, -1, 999508450, 841491914, 473526755, -1, 25411755, -1, -1, 821294404, 166758161, 474811624, -1, -1, 137937224, 152773807, 697578888, 196617345, 831852614, 371902208, 948408707, -1, 945587761, 677113908, -1, 508912778, 702171422, -1, 84715156, 541074036, -1, 483762141, 62569425, 333129895, 243518731, -1, 933416905, -1, 319767691, 928059535, -1, -1, -1, 117175083, 32450512, 823571115, -1, -1, 612646531, 197232407, -1, -1, -1, -1, 658732170, 504813832, -1, 581841728, -1, 269615470, 666645385, 166030274, 847908210, 52477319, 39917608, -1, 384063016, 4104995, -1, -1, 201426079, 150684761, 460415921, -1, 103886802, -1, 885973346, -1, 721824797, 302888153, 36110571, 684755668, 92148825, 801659229, 908847039, 580058516, 483826040, 380124767, -1, -1, 168027299, -1, 644367542, 512242293, 467829304, 633782717, -1, 240730532, 131147214, 40876332, 917027660, -1, -1, 790785524, 190095575, -1, 206043985, 25793373, -1, -1, -1, 109634953, -1, -1, -1, 652831304, 734437591, 192651725, 548416622, 361815144, 209487981, 449909005, 458075514, 148694379, -1, 132588413, -1, 877838671, -1, 686255328, -1, 189212725, 855509486, -1, 718914560, 274306526, 971507755, 900609701, 921188323, -1, 6500014, 852985159, 498398996, -1, -1, -1, 205194558, 486962523, 203722046, 764960350, 999633780, 544123794, -1, 807363136, 111799665, 696154431, -1, 960181358, 801510223, 205880081, 621627971, -1, -1, 553863216, 148136283, 511882798, 802368478, 68994706, 419940093, 381658898, 821780444, 571297133, 206256215, 130080515, 768059045, 221641386, -1, 874762977, 252119022, 130557128, -1, 718289703, 512138624, 764170379, 187657926, 221673599, 83242719, -1, 799023476, 85079357, 439764185, -1, 151767991, 147414757, -1, 257670531, 45106647, 867345315, 281685538, 655824098, -1, -1, 962263884, -1, 723418985, 300033715, 764646937, 232810117, 9947061, -1, 327666832, 169538118, -1, 530832921, 421778718, 650705491, 364777294, 418582154, -1, -1, -1, 45137996, -1, 387783166, 255067265, 873374995, 42265496, 759758750, 140197664, -1, 253070507, 983082257, 871859986, 675536446, 96826405, 31579530, 750605950, 745912616, 341196292, 448054111, 301696013, 664463336, 995438248, 430646298, 667142081, 304937932, 16322569, -1, 219293258, -1, -1, 208407704, 547087868, -1, 725035003, 417078131, 742199013, -1, -1, 409823514, 534733585, 731390353, 887024477, 598930981, 152868042, -1, -1, -1, 181278012, 279055496, 754713077, 980759184, 433009900, -1, 320885173, 869736774, 688191585, 183540144, -1, -1, 850461213, -1, 867395999, 838797284, -1, 337499592, -1, 648212025, -1, 814692692, 977527142, 881035468, -1, 675618949, 145096739, 839523436, 466551671, -1, 866389635, 852787084, 57122570, 934641278, 544413404, -1, 714744033, 802682400, -1, -1, -1, -1, 828558721, 958682095, 607808229, 508598442, 626771647, 907380687, 687826943, 895016353, 25636051, -1, 854148429, 750828044, -1, 832053306, 596222484, 454739799, 626906206, 769052415, -1, 293307690, 137964258, -1, 571246420, 529988528, -1, 342517399, 479335590, 577981802, -1, 505252790, 971049914, -1, 546339277, 823474206, -1, 942004639, 765222929, 187653456, 144344884, 13644597, 974888943, -1, 85736521, 603207649, 85003787, -1, 939815538, -1, 671368480, -1, 747777782, 501942584, 172986286, -1, -1, 102021161, 874074333, -1, -1, -1, 425854497, 641885676, 46190162, 100221829, 56112165, -1, 338561059, 569432414, 764764155, -1, 717745601, -1, 974448543, 21468348, 705668717, 871273520, -1, 940076838, 995807406, 497601100, 594811780, -1, 502919875, 419041240, 223896665, 288161424, 686899367, 49355787, -1, -1, 237259298, 208516272, 653206065, -1, 809023842, 769914462, 410316527, 926007760, 151950294, -1, -1, 411429295, -1, 960239690, -1, -1, 293268667, 610517990, -1, 708385326, -1, -1, 503565104, -1, 318804495, 818585532, 707894378, 906846032, 648388092, 894623270, -1, -1, 86239982, 467431031, 327850797, 511648530, 867464381, -1, -1, 550816477, 801847612, -1, 776538503, 937466058, 692923751, 850298975, 205873580, 454785864, -1, 242781070, 954948192, 223641390, 787194929, 496897767, 255622679, 641803517, 787335927, 253534823, -1, -1, 613513747, -1, 266899993, -1, 650296197, 266556551, 898361232, 643457388, -1, -1, 993900999, 227238938, 592749397, 169110508, 301371977, -1, -1, 358429452, 462367281, 855469611, 934635852, -1, 530540439, 305114986, 287618799, 418620707, 252543760, 67810807, 989894859, 255887060, 681321328, 550059380, 749743544, -1, 217325851, 601457699, 868812366, 494025230, 714042191, 355359921, -1, 255178077, 762538345, 659432497, 850253934, 120699187, 265420542, 508320045, -1, 792988854, 130661332, 395822387, 799700242, 469827985, 185492180, 455025901, 373295053, -1, -1, 710907097, 78914831, 388813624, 192777041, 997767140, 135840734, 867569329, 835239840, -1, -1, -1, 924044362, 428092754, 196406970, -1, 455163861, 745006258, 251485120, -1, 216019761, -1, 718381972, -1, 338320871, 95554164, 504895632, 376832759, 948180414, 210045201, -1, 795488964, 466480166, 659771595, 813366284, -1, 722536688, 255424940, 77214770, 380494615, 472926188, 733704346, -1, 912430795, -1, 518958486, 693260671, 779721202, 55296351, 133411318, -1, -1, 728911910, -1, 461601908, 857889120, 591598053, 600631116, -1, 798911078, 236457857, 139842023, 488278914, -1, 535774554, 346993118, 835518825, 427681441, -1, -1, 41728861, 581188297, -1, 3457511, 176475711, 974336231, 213905968, -1, -1, 728333381, 920609975, -1, 223110161, 967602306, 410838852, 69296729, 37071344, 346368199, 64421188, -1, 649613661, 711232113, 353515878, -1, 668033258, -1, -1, -1, 87893879, 969563467, 480648038, 798144657, -1, -1, 264761415, 110853375, -1, 619285252, 646150914, -1, 530448147, 755488528, 175873109, 864686941, -1, 580739678, 817195098, 750003529, -1, 266578800, -1, 220983048, 854138664, 296861778, 12674673, -1, 722403912, 652570277, 685449730, 145458443, 366389641, 645060995, 690134321, -1, 277850960, 332814324, -1, 416036917, 711842909, -1, 974170924, 585321129, 726414895, -1, 809556229, 578778137, -1, -1, -1, -1, -1, 264606900, 341211616, 780589962, -1, 175770714, 467100150, -1, 579822338, 940403110, 167339777, 70089449, 648406851, -1, -1, 46911489, -1, 101668402, 80008403, -1, -1, -1, 715096228, 300329466, 10443825, -1, -1, 562768601, 359238207, 912012954, -1, 217704778, 836676548, -1, 27787502, 735125191, 37830132, -1, 348983524, 676697332, 756752562, -1, 643981244, 652338013, 941277662, 490360037, 46113635, 656483608, 419032569, 466043147, 5204107, 694209521, -1, -1, 719379941, 324240272, 470056832, -1, 623283552, -1, -1, 15735121, 892358115, 624826358, 652546111, 647821769, 491261131, 286289936, -1, 462696365, -1, 713132709, 540265106, 890205681, 947114501, 551811903, 456477179, 570100671, -1, 16184078, 137670953, -1, 768225368, -1, 257037825, 11799883, -1, 431422838, 419411429, 696229392, -1, 7269214, 325319252, 619780389, -1, 935126713, 922648644, -1, 915517253, -1, -1, 377140099, 177916971, -1, 985165296, 979786038, -1, 732504917, 815033346, 700523281, 613240865, -1, -1, 363317266, 161815244, 936518686, 334021890, 849714411, 627614001, -1, 170525155, 509092938, 191367801, 394106927, 62316895, -1, 313670735, 583623901, -1, 254192848, -1, -1, 335963167, -1, 817098016, 591646183, 561348866, 915738257, -1, 213423941, 306980722, 731894206, 975189858, 145373477, 214952319, -1, 53458618, 243836628, -1, 340447195, 311497331, 441250282, 823869444, -1, 492909322, 361636463, 360926649, 126821061, 825496581, 690334152, 544151298, -1, 865978086, 709824319, 488685624, 550946436, 372099443, -1, -1, 257858391, 370783436, -1, 365136445, 787845637, 109681191, -1, 930528951, 299240437, -1, 306820063, -1, 766218260, 846796550, 934122688, -1, -1, 154439360, 824292483, 932894213, 146200477, 261190523, 4028104, 433524335, 576142602, 891669905, -1, 288352049, -1, 64370358, 120916380, 852894926, -1, -1, 920487300, 865819067, -1, -1, -1, 198064613, -1, 884617077, -1, -1, -1, 527591505, 296699056, -1, -1, 379538872, 246629319, 43343638, 501547556, 887415084, -1, 602211653, 789337465, 64051519, 674099145, 574163687, 276312664, 21077702, 835479805, 232324761, -1, 396586017, 629386251, 357160909, -1, 874597138, 513813969, 882225480, 615557486, 910610783, 239672256, 563957627, -1, -1, -1, 780456463, -1, -1, 540846613, 88210420, -1, 346212907, 414009916, -1, 302929275, 317167765, 208971269, -1, 490444004, -1, -1, -1, 470036561, 458847174, -1, 874767922, 746946100, 617734344, 870709603, 423434899, 15860146, -1, 601080179, 597580321, 545516185, 865416183, 432136756, 336588709, 429854642, 785081550, -1, 807260432, 76343541, 661504797, 27470899, 299204120, 7406223, 309454199, 157468060, 260984519, 888322208, 824392454, 212388252, 366212835, 597938024, 511037448, -1, 614677048, -1, 249848807, 428719059, 255137787, 902076238, -1, 840174370, 280431522, 529648757, 522225846, -1, 563283669, 741978872, -1, 879940659, -1, 363722980, -1, 843866553, 354572149, -1, -1, 908537173, 439490901, -1, 312132544, -1, 45709072, -1, 22205169, -1, 277652728, 945585388, -1, -1, -1, -1, -1, -1, 94228930, 845570042, -1, -1, 495313604, 988005487, -1, 523475065, -1, 801458966, -1, 925693832, 379386185, -1, 953905763, 683296075, 730431496, 346703362, 102102906, -1, 263207143, -1, 737028538, 958087941, -1, -1, -1, 823911394, 772472056, 276063689, 364948898, -1, 868598416, -1, 82073146, 105389591, 145328949, 706880401, 307155266, 769833296, 582596515, 771690147, -1, 884153526, 14822334, 875335380, 692409762, -1, 89271399, 174645630, 322637814, 225934459, 837651871, -1, 995641019, 427245126, -1, 230569547, 29836271, 114958590, 506655072, 55572521, 804614034, -1, 350952830, -1, 702041365, -1, -1, 329325227, -1, -1, -1, 702884699, 417326997, 304087021, 44916501, 156868976, 640768067, -1, -1, 749198943, 698762860, 60809094, 299545336, -1, 891315147, -1, -1, -1, 422987161, 662406418, -1, 633272913, 599488111, -1, 299605767, -1, 502255411, 408571535, -1, 404808977, -1, 605501632, 596737444, 782304764, 930976870, 504067458, 981570319, -1, 659918, 293576761, -1, 238243795, 100904343, 591182251, 64677670, -1, -1, -1, 739605437, 842769560, 128519150, 78822133, 958446095, 586762166, -1, -1, 354670112, 955832996, -1, 494704263, -1, -1, 556091425, 437070950, 6594311, -1, 919196963, 867252541, -1, 32086321, 606779002, 279275162, 696806256, 714704563, 919148187, 801839380, 665415589, 175669811, -1, 842406261, -1, 444111393, 713962638, -1, -1, 275120069, 443900946, 189879805, -1, 956960366, 144411254, 887242332, -1, 651523255, 480808345, 994366481, -1, 480467963, 826814950, -1, 67765723, 633296782, 575047362, -1, 287458919, 558407855, 914616097, 250676749, 858908294, -1, 417823310, 206188387, 643092007, 503377627, 998254666, 972473373, 965983056, 188998892, 501370219, 637366019, -1, 31971042, -1, -1, 757826840, 557192868, 187438914, -1, -1, -1, 20317369, -1, 899627131, -1, -1, 785464473, 36829393, -1, 928118921, 434922934, 106535502, 824620576, 38826817, 210371589, 637432153, -1, -1, -1, 202647219, -1, -1, 640895858, 82326664, 829702697, 189557728, 163235396, 939230767, 594172927, 844493030, -1, 793574923, 667124059, 969625738, 447938185, 961215498, -1, 608684988, 594150175, 552344125, 466264550, -1, 309906382, 426920770, 373736085, -1, 943118647, -1, 759529567, 760400769, 211530563, 653437938, -1, -1, -1, 670468734, 113418690, 499969169, 463565154, 891484704, 252566039, 262208807, -1, 528949701, -1, 956712565, 814686677, 255905151, 101941901, 967451083, 729246541, 756700784, 65051420, 101743969, 893261912, 605307290, 260180587, 708287645, 375316104, -1, -1, 873836775, -1, 365947118, 221086610, 932766101, -1, 413297020, -1, -1, 76735711, 60620235, 295756015, -1, -1, 540383665, 234776827, 263014078, 723618136, -1, -1, 632493125, -1, 71837216, 416844738, 221775941, -1, 838097957, 58037801, -1, 636617636, -1, 189551207, 335679462, -1, 936216687, 317749125, 410024861, 302063259, -1, 641129273, 845874158, 183061006, -1, 302455171, 36964605, 258186294, -1, 58661634, 820259200, 172964269, 174250127, 851794648, 322613200, 931392414, -1, 346047231, -1, 500047390, -1, 430032085, -1, 398584511, 353290204, 961868715, -1, 678943403, 415994036, 765508440, -1, 424749053, 105957794, 981976402, 194369677, 853114652, 90277459, -1, 402551807, -1, -1, -1, -1, -1, 681208244, 463646705, 506293189, 564978687, -1, 117929861, 148282266, -1, -1, 934576190, 641294052, 867499505, 861273200, 414942873, 773066557, 437603701, 605617534, 210373539, -1, -1, 487741556, 414352846, 291703835, 482640341, 475657097, 374039370, 401141829, -1, -1, 979540295, 838660172, 671736063, 591439101, 189821692, 927821385, -1, 883284960, -1, -1, 802244424, 4556444, 792818288, 501241320, 119061434, 303042622, 720429152, 892485854, -1, -1, 319871790, 339933603, -1, 200794612, 55998331, 328050041, 706408370, 134456265, 819568811, -1, 331947281, -1, -1, -1, -1, -1, 862485448, 62593020, 801194273, 67498029, 26143559, 765338979, 138148200, 807258742, -1, -1, 402877985, 511229422, 898949168, 951199205, 799174368, 457698278, 989790328, -1, 66639969, 152160489, 462369035, -1, 625023322, 565491676, 264676501, 393677906, 827075443, 947168591, -1, -1, 579499709, 39829781, 838362376, 750156425, 339221251, 295083104, -1, 645815153, 811449099, 435803270, 93475093, 838353041, 996187134, -1, 278790581, -1, 386316464, -1, -1, 590816036, 845275057, 310260928, -1, -1, -1, -1, 448570713, -1, -1, 629090607, 86163806, -1, 647887704, 454129069, 823430870, -1, 473956619, 537764588, 731540426, 561026685, 280138707, -1, 214956972, -1, 247092741, -1, 839101150, 330008816, 177453541, 954059203, -1, -1, 941436987, -1, 645918349, 890371457, -1, 665600276, 127265233, -1, 247205542, 720509345, 757955272, -1, 360331057, -1, -1, -1, 527369092, 947729480, 234433708, -1, 466292029, 314439378, -1, -1, 619712708, 312484285, 101717050, -1, 792002244, -1, -1, 281958165, -1, 825624617, 33878674, -1, -1, 277800052, 939155176, -1, 482806905, -1, -1, 889643421, -1, 149690030, -1, 542636955, 995967336, 718539945, -1, -1, 351331058, 523483340, 372440666, -1, 599281074, -1, 41350164, -1, 808737064, -1, 896652510, -1, 940007164, 879071130, 53101174, 364446855, 471915148, -1, 258294421, 899108639, -1, 674152243, 115320485, 763829300, 727816824, 10490836, 402427028, 319178832, -1, 411951079, -1, 494407109, -1, -1, -1, -1, 46074814, 109714383, -1, 610332258, 641948929, 22549253, -1, -1, -1, -1, 998341720, 185858937, 16591829, -1, 377474859, -1, -1, -1, -1, -1, 659254112, 816997473, 839994365, 977999803, -1, 305272916, 788867044, 499148043, 97515571, 31888304, 415717929, 136630813, 240160518, -1, 793591692, -1, 605549607, -1, 354018072, 842136654, -1, 224169881, 772262372, 57157421, 801805030, -1, 372321721, 87308913, 978730452, 956103489, -1, 976565677, -1, 638213956, 682149160, 483226641, 44330190, 29169901, 822212137, 827051415, 13698666, 302217410, -1, -1, 228217731, -1, 975090805, -1, 522567502, 95525027, 865328256, 338906670, 761559189, 463982460, 752055504, -1, 70969925, 755351305, -1, 881201812, -1, 236559984, -1, -1, 513447283, 101021319, 435661248, -1, -1, -1, 764776986, -1, -1, 655549368, -1, 357895652, 749820451, -1, 680855393, 298950466, 572792700, -1, 182978284, 760297028, 520089769, 242806103, -1, 570626198, 692484686, 306775985, -1, 106888624, 771652063, 468380219, 633676197, 349865126, 193656034, 6210184, -1, -1, 652331711, 864392136, 870538374, 380496026, -1, 190119553, -1, -1, -1, 440304159, 380234244, -1, 591701282, -1, -1, 189121147, 207002711, 335284071, 857944440, -1, 374897029, 986907605, 819424908, 261578064, 263156876, 573798266, 981770548, -1, 757817899, 750971570, 152534322, 60882380, 31266285, -1, 952543099, 656251250, 100684772, -1, -1, 170101736, 340175486, 872024452, -1, -1, 516860799, 944654918, 586314128, -1, 429917215, 345655061, 721896665, 908871989, -1, 107808216, 351567643, -1, 464749938, -1, 193416101, 434913574, 396864253, 870909316, 262037531, 164012603, -1, 819762956, -1, -1, 609144720, 371465437, 287632706, -1, -1, 570693603, 333292038, -1, 622208374, 91531338, -1, 167624391, -1, 814220507, 815263688, -1, 906165173, 277734568, 381789146, 782928644, 590295181, -1, 508941891, 659625655, 977814129, 29613800, 170679975, 178123624, -1, 36575848, 427678539, -1, 628485425, 83931213, 746899531, 8875305, 383094224, 494188718, 28981852, 504608019, 245125333, 765220180, -1, 796261926, 915049576, -1, 508375970, 762476131, -1, 275377373, 488610513, 910001749, 287573005, 681128904, 971993006, 362440848, 486802931, 397018363, -1, -1, -1, 477144454, -1, 957553741, 374009361, -1, -1, 769775391, 236380918, -1, 289748036, 132004123, -1, 822048670, -1, -1, -1, 479481961, 391102656, 234496063, 840382478, -1, 236195448, -1, -1, 134296299, 788491004, 948135075, -1, -1, 878116814, -1, -1, 824265465, 246069004, 143306958, 406526084, 985836066, 872496890, 642027150, 872791751, 102449815, 667466120, 16147636, -1, -1, 631428491, -1, 492260069, -1, 527696016, 303993000, 293621610, -1, -1, 284044554, 115804569, 894340496, 835794736, 898887565, 289945071, 781747602, 358665408, -1, 147321964, 733318455, -1, -1, -1, 874465171, 189555971, 543775511, 859082739, 136150206, 924503644, -1, 976576920, 474981887, 734429402, 887218449, -1, 613141404, 757043894, 510181717, 110236976, 989282895, -1, 575450601, -1, -1, 120167971, -1, 575117508, 619355216, 873590760, 966300953, 193185807, 572818886, 260221791, -1, -1, 254506092, -1, 32353453, -1, -1, -1, 936754038, 910225196, 28683837, 135437822, 851100410, 759296749, -1, 816738422, 697145904, -1, 714926631, 896316441, 487851615, 905608227, 979128597, 425242332, 816508043, -1, 277858034, 412519766, 839845770, -1, 168042082, -1, 504095263, -1, -1, 773423924, 199525939, 923516652, 36054515, 859031045, 685376666, -1, 924700702, 572867858, 340140560, 529183451, -1, -1, -1, 84033670, -1, -1, 332921302, 501115152, 764087243, 359219666, 644961090, 275945728, 718109223, 969152204, 152008782, 317963205, 633117576, -1, 985437802, 153239663, 412130956, 540231525, 890318073, -1, -1, -1, 774709799, -1, -1, 316323868, 550248917, 406317813, -1, 229028213, 915076484, 394454264, 223297369, -1, 846019258, -1, 567001060, 518783500, -1, 21824362, 192984635, 375691675, 534251276, 629095495, 77660826, 38358399, 111444149, 362153458, 241540867, -1, -1, 60894758, 775300200, 762187092, 206685391, 552478904, 231272821, 306723937, 953102601, 991244224, -1, -1, -1, -1, 8455474, -1, 807106534, 349628076, -1, 460061897, 777410132, 479628927, 663681786, 277303848, -1, 668860062, 695287213, -1, 676821624, -1, 630653519, 96008383, 396468274, 921549212, 434016629, 17928512, 513251032, -1, -1, -1, -1, -1, 628507658, 428573924, -1, 514481551, 593652663, -1, 180890233, -1, 205486032, -1, 908413821, -1, 70585667, 549858359, 455588879, 698639459, 603789002, -1, 99171532, 774664267, 558905439, 428913220, -1, -1, 179852778, 149947107, 2860171, 485999785, 798721732, 950164327, -1, 221681617, -1, -1, -1, -1, 319338175, -1, 292764791, 737769149, 192655321, 60384441, 407366569, 616988784, 206584746, 823875003, 442317302, -1, 37583242, 167919030, -1, 893914147, 699616072, 742816500, -1, 798977757, 457936514, 12664105, 121686904, 768359944, 267849253, 493482277, 207864427, -1, 198084165, 311324292, 462165495, 174207537, 847636108, 173923618, -1, 14484479, -1, -1, 399187051, -1, 655110159, -1, 838350871, 142484266, 151245452, 300447095, -1, -1, -1, 406886584, 145344729, 921589991, 628145107, 558125910, -1, 214706695, -1, -1, 771129197, -1, 784671467, -1, 355025284, 658376059, 435017764, 507702893, 663726341, 855174631, 665140107, -1, 186294306, -1, 947414474, -1, 249590206, 286690421, -1, 507224522, -1, 903657235, 419035179, -1, 739237236, 105291046, 462769180, -1, 444182752, -1, 24360105, -1, 942180483, 503086311, 752416989, 823970624, 575449974, -1, 355054099, 618224208, -1, 926794011, 374106226, 318463936, 188300676, 161531488, 125302441, -1, 491039246, 420242279, 427699102, 273234346, -1, 916819168, 702413357, 25494220, 714074114, 861351536, -1, -1, -1, 760750918, 310310907, 369593618, 145483556, 619610494, -1, -1, 190810165, 597600547, 92875568, 649275097, 411486881, 874080056, -1, 637858974, -1, 675441339, 921637681, 225309572, -1, 594755962, -1, 30850309, -1, 505346925, 318550977, 162496012, -1, 399326275, -1, 397083228, 181383299, 658184986, 790317672, 287635890, 259647974, 734529977, 735251486, 250793394, 74738421, -1, 415482319, 189316408, 786846550, 981852942, 126177376, 32046556, 33197150, 289139757, 250900802, -1, 777347353, 182076422, 587621290, 513059193, 408988215, 580275499, 995856676, 154363284, 467065854, 864545275, 144062309, 295670316, -1, 432869674, -1, -1, 401137067, 228363432, -1, 398266003, 320951840, 37570553, 303059420, 641721471, 33429192, 925538515, 853288904, 938409332, 573072909, -1, 665862853, 924221873, 73809559, 174820869, 625748073, 547936481, 785852900, 233191579, -1, -1, 517003162, -1, 340713942, 937274786, 395535436, 466341208, 625930608, -1, 537282064, -1, 600704931, -1, 62635589, 335235934, -1, 397294010, 664456468, 349459428, 689309008, 9295428, 425596738, 785843331, 26550543, 118201976, 998742772, 167004959, 758367251, 282547370, 342524379, 983011841, 137734346, 91557979, -1, -1, 541516553, 63425060, 653114778, 297687248, 36055809, 587811899, 949388237, 269244545, 614427757, 983010870, 624974765, -1, 953461701, 205978081, 365901458, -1, 751146972, -1, 699644915, 33149922, 445829453, 227026507, -1, -1, -1, 305037299, 389214831, 62840959, 267435879, 511319692, -1, 442503942, 501314821, 558970592, 686479887, 686270409, 872527774, -1, 845763021, 872578251, 432483237, 523484598, 375430756, 233571618, 975035973, 918974277, 575561042, -1, 815795627, 858101419, 693444006, -1, 226656493, 847661327, 539649972, 385893051, -1, 613123730, 116419222, 453081794, -1, 999202640, 697024486, 751078821, 112025398, 167176999, 165830237, 55006937, 90922056, 754953083, 186215007, 532475691, 571641250, -1, -1, 328650620, 697772660, 491796727, 418271695, 458276837, 354336661, 143427119, -1, 564496804, 407546726, 682269679, 740874636, 906126759, -1, 39794322, -1, 91451882, 225088546, 534245233, 387967628, 553325190, 207464718, -1, 807568253, 578492371, 437449961, 206394534, 4777234, 537948934, 847453212, 720404937, 89960516, 328182262, 723219337, 117474434, 322684416, 977056502, -1, 801106444, 483683512, 533085721, 935283181, 921605425, 221518070, -1, -1, 684149620, 332869617, -1, 161193407, 600314362, 461785253, 198271608, 320147605, -1, 181453540, 416286010, 586040099, 86947516, 936099042, 449879727, 76020840, 638954930, 859799436, -1, -1, -1, 274565081, -1, -1, 802968498, 256413677, 177819004, -1, 653034492, 537706164, 967968011, 847447700, 527081445, 101056995, 240444744, 832560889, -1, 551820652, 866607047, 696173044, -1, 145986764, 980675208, -1, 293876665, 612642966, 841732817, 952141704, -1, -1, -1, 140372288, 425969425, 896918555, 906652769, 477887503, 729927407, 415972157, 327833438, 648636090, 635481166, -1, 563756035, -1, -1, 652573544, -1, 917041801, 671776593, 876578523, 983334005, 102878749, 999031096, 254250968, 707598957, 119959229, 86318478, -1, 722719706, -1, 893245392, 123428464, -1, 799571278, 615786613, 207753136, 41273883, 617206765, -1, 641219609, 320546145, -1, 370409572, 783477602, 283431552, 881628522, 342689898, 513003098, 830504391, 206859994, -1, 904050131, 988368391, -1, 585906442, 326172032, 211581873, 106780961, 12445041, 358503903, 415595956, 129957826, -1, -1, 788954187, 476382374, -1, 211124951, 857909139, 373261427, 699243024, 315534433, -1, 898881588, 675234099, 994549733, -1, 336326352, -1, 647661332, 273444244, 704193611, 349865999, -1, -1, 336794798, 143617137, 28123186, 771815395, -1, 480138706, 803311774, -1, 571408622, 663400706, 464428071, -1, 23952629, 507295788, 422046780, -1, -1, 785167886, 420228218, 403603845, 229788302, -1, -1, 926491547, 242634536, 680877433, 623032045, -1, -1, -1, -1, -1, 171013948, 660594934, 99846145, -1, 469291976, 535981764, -1, -1, 929522620, 652019575, -1, 471978613, -1, -1, 62022964, -1, 400542495, 837375887, -1, 253561954, -1, 328160591, 1603472, 704841209, -1, -1, 48673825, -1, 915977538, 220454622, -1, -1, -1, 88163680, -1, -1, -1, 183028168, 449665706, 990104112, 592434338, 95049898, 931655419, -1, -1, 441692129, 912459456, -1, -1, 323130233, 867292477, 904389162, 344390814, 755975468, 471103231, -1, 684867674, 798183089, 697706137, 550710059, 826191695, 339595674, 373535087, 879602571, 707749307, 962604693, 189977158, -1, 49766267, 358793156, -1, 471666149, 12351044, 791403981, 901028076, 509465275, 576477285, 332004598, 383608950, -1, 747297503, -1, -1, 51427180, 733114070, -1, 683514790, 45795987, 940313667, 404945813, -1, 648489817, 768363276, 679536138, -1, 101425803, 314540197, -1, 835478273, -1, -1, -1, 338170601, -1, 781973208, 53733954, 946554146, 601963405, 699208248, -1, 181775990, 108792324, 505706220, 413392211, -1, 994877902, -1, -1, 359691628, 750958865, -1, -1, 404088490, 609626359, 391488071, -1, 435608058, 46169818, -1, 122978782, 224763374, 555322601, 784328116, 851395252, -1, 427313074, 77836165, 883523689, 486749604, -1, 11715696, -1, 421459462, -1, -1, 117970200, 542744617, 434909261, 284215465, 850416973, 759678815, 916068698, 833055913, 813403452, -1, 245719063, 250873935, 457122252, -1, -1, 462717383, 89549104, 267525795, 612673922, 386046533, 109783443, 260753334, 756202161, 493871248, -1, 841834185, -1, 151158175, 778224188, 165529815, -1, 793359989, 134542025, -1, 23231986, 951184108, 632967145, -1, 155950024, -1, 405632617, 322536736, 940256925, 496344329, -1, 870380931, 381867545, 334612195, 734620091, 577936219, 504715044, 813851888, 102548793, 46641586, 58481255, 649837179, -1, -1, 965261032, 253277892, 241752855, 899767479, -1, 586992393, 714128069, -1, -1, 763153184, 86775481, -1, 666656664, 325284587, -1, 936076657, 937509897, 99400415, 125341693, 410919088, 376035166, 544428718, -1, 277260888, 336214035, 314571239, 664111038, -1, 208403519, -1, 673167554, 800677886, 826331080, -1, 50916769, 184735539, -1, 807885241, 551832075, 344167390, 707937038, 815086663, 21436439, 532379413, 60220991, 879001055, 683677330, 562793146, 392640898, 340099501, 708712050, -1, 546244835, 224801487, 752402498, -1, -1, 39013026, 26691246, 507503143, 498539032, 126579892, 935045377, 723733441, -1, 644841804, 545626962, 778828145, 658102708, -1, -1, 154754806, 58979539, 275993078, 582832119, 431895735, -1, -1, 154754583, 463935452, -1, 131986355, 307425857, -1, 563464296, 863066943, 490254656, 602977643, 331271680, 269481544, 893119787, 708790226, 657987918, 383126440, -1, 748271691, 896294638, 164080876, -1, 780452521, 9234198, 908446358, 59096947, 151585241, 413791514, 146900557, 299131810, 116062813, 450094899, -1, -1, 857843411, 558169594, -1, 947571382, 78119784, -1, 595314489, 408239410, -1, 840311289, 871707464, 524373578, 389162620, -1, 896637234, 887387263, 675258802, 530100819, 919982510, 568729407, 204137616, 371889947, 758349037, 502799881, 595470013, -1, -1, 236793418, -1, -1, -1, -1, 125359217, 190121332, 174655756, -1, 138830842, -1, -1, -1, 786515725, 760728244, 145882218, 876190879, 353031485, 138138811, -1, 325746532, -1, -1, -1, 735701208, 330610150, -1, 536176929, 788756722, 550939690, -1, -1, 432137156, 689531692, -1, -1, 60079110, 884402136, -1, 442394258, 20657014, 332417826, 613287989, -1, -1, 808375454, 945636356, -1, -1, 492368410, 237859923, 85444141, 782285905, 290107095, -1, 499381482, 664881333, -1, 215277933, -1, 187362342, 585906238, 960116292, 808443969, 692187037, 653680975, -1, -1, -1, 197526554, -1, 17970249, 536564562, 282979935, 694763400, 106172610, -1, 95383913, 221058347, 33084481, -1, 270199236, 361713918, 942188230, 505371747, 611694771, 826282934, 160791217, 181906537, -1, -1, 716177006, -1, -1, 889099884, 301169862, 109298096, 776622787, 393946874, 449087225, 549464565, 554009027, 287011051, 29012239, 481695892, 505289871, -1, -1, 171061348, 868224576, 589108186, 241240260, 895598408, 308532199, 702886808, 903910291, 233340548, 387171779, 557150855, 136890605, 628608963, 518528652, 778559074, 634286839, 870080483, 849772732, -1, 698382696, 115184016, 638850289, 406815841, 218967597, -1, 745747673, 548937695, 628979560, 347325603, 954753991, 560451436, -1, 966919842, -1, 230498851, -1, -1, 464391970, 74636150, 970267778, -1, 377692095, 641544368, 127592610, 986053957, 922269875, -1, 489975583, 939296292, -1, -1, 814469490, -1, 511949386, 700736836, 790971907, 136213931, 858413150, 450274157, -1, -1, -1, -1, -1, 792524522, 968910992, 929628645, 812842574, 158110746, 820827347, 331748572, -1, -1, -1, 621490376, 186465481, 861455288, -1, -1, 108977683, -1, -1, 737728600, 771549088, 476716085, 403232271, 256035481, 120625528, -1, 3226341, 905915109, -1, -1, 336864216, -1, 690524611, -1, -1, 38447642, 963261857, -1, 919240804, 713953665, -1, 530144545, -1, 145565332, -1, 218296880, 896705328, -1, 759413070, -1, -1, 824946737, 181356974, 258696328, 395398740, 550870681, 985270142, 998324269, 796444491, 20545790, 33902627, 872158134, -1, 415013092, 626057180, 172548493, 388650566, 972819830, -1, -1, 746532452, 459532344, -1, 477147001, 382001942, -1, 614162694, -1, 340575363, 636219932, 240093436, 127699298, -1, 542660092, 231066910, -1, 172433999, 38618460, 60823857, -1, 816891592, 160710860, 399085338, 856039926, 281999774, 152226213, -1, 897418697, -1, 173569210, 799376509, 744967271, 710908485, 919829122, -1, -1, -1, -1, 416728249, -1, 114106865, 987057047, -1, 643739649, -1, 129823178, 925638729, -1, 657301328, 887764779, -1, 890909275, 732366309, -1, 887998257, -1, 450473431, 279625931, -1, 50902013, -1, 648194023, 118915608, 965269805, 901182121, 949933622, 124028368, 667104444, 957587174, 576257139, 132635083, 932622737, 401721352, -1, 225221794, -1, -1, 454048850, 280914630, -1, -1, 390097812, 383048506, 491122991, 16873344, 473321350, 136831393, -1, 156347104, 550754346, -1, -1, 769207529, 58026982, -1, -1, 662333918, 642130952, -1, 186610536, -1, 498650434, -1, 67230259, -1, 332281587, -1, 401082585, -1, 310944256, 468268839, -1, -1, 199526739, -1, -1, -1, 735955089, 663044771, 779238759, -1, 537319162, -1, 132503549, 4698975, -1, 190079725, -1, 291856585, 997416455, -1, 559616028, -1, -1, -1, -1, 189671890, 590506201, 632409179, 217671142, 252876586, 654114961, -1, -1, 768390301, 685762720, -1, -1, 536223697, -1, 70833568, -1, 596336011, -1, -1, 658376801, 206612620, 584039036, -1, -1, -1, 731834975, -1, -1, 820602703, 654632896, 452555459, 123341380, 837740764, -1, 290553612, 362328592, -1, -1, 831847126, 328918580, 619659437, 176153197, 307158542, -1, 264139624, 994541436, 573045606, -1, 405024444, 513632386, -1, -1, 910287807, 264990753, 217497813, 885946162, -1, -1, -1, -1, -1, 111323759, 985148751, 165587190, 846441425, -1, -1, 58636238, 357722484, -1, 601859268, -1, 614759950, -1, 996369471, 337040502, -1, -1, 743601623, 371784081, 977674734, -1, 153123228, 632136529, 267555160, 874110227, -1, 202930323, 885091877, 698047050, 96969375, -1, 264623157, 194259035, -1, 269032728, -1, 254953422, 884110481, 214215454, 734455416, -1, -1, 892366022, -1, -1, 160754590, 171450511, -1, -1, 561744833, 227780167, -1, 992063073, 233631119, -1, 714484124, 366977348, 603274759, 631394492, 635295231, 874864919, 496427616, 680170769, 714913521, 187639925, 761612229, 487568877, 813588278, 580275263, 341688879, -1, 476509424, -1, 806076942, 583109971, 270166500, -1, 61124429, 153653914, 849426130, 112116765, -1, 282773973, 871606915, -1, -1, -1, 455168711, 709906229, 427133380, 911112231, -1, 907819876, -1, 428713447, 613443206, -1, 451028493, 932337409, -1, 774887083, 726241807, 371965260, 346242032, 513919524, 118155122, -1, 921778755, 763689471, 255710690, 950360223, 654400913, 938028738, 706096703, 369766674, 785087035, 931018222, 672030503, 820203996, 529914679, 600427009, -1, -1, -1, 630437745, 21278475, 920177085, 90942391, -1, 135246928, 283282753, 42267293, 671323388, 605358183, 654115237, 106899572, -1, 674794662, -1, 790510218, -1, -1, 324088075, 847355826, 230609349, -1, 995083870, 518627642, -1, -1, 150862634, 190883680, 630094317, 546636120, 736312484, 12733217, 742585425, 752164137, -1, -1, -1, 17134508, 623733876, 577877149, -1, 649974422, -1, 340022167, 441327628, -1, 946473957, 18409857, 356180481, 272367213, 145360688, -1, -1, -1, -1, 201695326, 324410730, 276380595, -1, 216129027, 600980612, 635741768, -1, 21653772, 99793902, -1, 857908208, 249687799, 948724728, 474187417, 644693982, 906522950, 213181070, -1, 679080792, 231385088, 340197832, 673052323, 559117105, -1, 21096133, 991567052, 41005307, 991153290, -1, 169931095, -1, 772225573, -1, 666989213, 767432260, -1, 237637824, 361500897, -1, 685135398, -1, -1, 754032058, 484527444, -1, 863232408, -1, -1, 791283785, 367524427, 665581863, 475379931, 73597966, -1, 798213949, 933051305, 22537337, 762087055, 918417891, 238206105, -1, -1, 99507937, -1, 553998840, -1, 720066308, -1, 508871032, 43465768, -1, -1, -1, 193029794, 162819510, -1, -1, 974662744, 296838004, 490281731, -1, 332572167, -1, 144338610, -1, 13220323, 281226458, 936638623, -1, -1, 881716516, 724367977, 213304494, 52818437, -1, -1, -1, 527481398, 343766516, 177376269, -1, 50606528, -1, 834129413, 72063974, 349948765, 201459322, -1, 852313174, 64297081, -1, 998847306, 191640214, 122817067, 28133918, 139540137, -1, -1, 738881176, 431144483, -1, -1, -1, 583223603, 806115723, -1, -1, 694777274, -1, 126069175, -1, 755213297, -1, 75536228, 217077001, -1, -1, 255460263, 588340816, -1, -1, 258425495, 842483228, 827936786, -1, 856762257, 405362050, -1, 328845637, 673127224, 351936936, 289434851, 776171651, 505547642, 743142072, 588437974, 573935788, 115256516, 786426569, 314612052, 126117562, -1, -1, 516143256, 500319782, -1, -1, 779703152, -1, 434184586, -1, 846508680, 122812615, 709833164, -1, 551104971, 599402086, 165375841, 729627260, 418996421, 443056903, 378841819, 772300744, -1, 684060983, -1, 701835710, 303853495, 345328078, 356267473, 159811189, -1, -1, 124526993, 511408385, 78553901, -1, 639162338, -1, -1, 55923689, -1, 305271791, 53017177, -1, -1, 863073998, 11285218, -1, 954050976, 315691551, 65018572, 22131442, 796964732, 656854278, -1, 579641382, 177727530, 367777509, 15908880, 903997333, 566294031, -1, 378437406, 753877573, 831553017, 976989959, 351716666, -1, -1, 59976931, 795335640, 270292914, 835313402, 134521261, 995763363, -1, 292659000, -1, 806712883, 103240040, -1, 855591828, 480005948, -1, 374639156, 946565123, 681541723, 472710780, 761780441, 617574978, 789840196, 273569282, 381788592, 927899015, 455556297, -1, -1, -1, -1, 443681865, 852586406, -1, 704477224, 423649816, -1, -1, 876402915, -1, 359838282, 615845563, -1, 845362694, 646647713, 465270768, 441376695, 471151543, 226969450, -1, 329774961, -1, -1, 154848534, 193649284, 24415289, 75680874, 896229951, 41688036, -1, -1, 489629299, -1, -1, 731600203, -1, -1, -1, 840576322, 690093708, 640670265, 446655131, -1, -1, -1, 160076248, 20815124, -1, 747274760, -1, -1, -1, 290769960, 620002906, -1, 331410973, 547421419, 376248828, 678068806, -1, 496484388, 534192324, 696592780, 484919785, -1, -1, 471162531, -1, 57099074, 468970935, 275932583, 948058369, 74492353, 395394723, 496255101, -1, 248280396, -1, 269304735, -1, 115393731, 123011604, 88834268, 753580407, 266175825, -1, 371740929, -1, -1, 809391749, 835965511, 786917850, 654790142, 384456417, 23003214, 454147196, 634837503, 871099898, -1, -1, 481686828, 916526875, 846584773, -1, -1, 50182680, 863577354, -1, 675186191, 982127279, -1, 76957090, 13166832, 412789124, 530955342, 727364921, 923418947, -1, 626231364, 307866421, 697602371, -1, 608100907, 364889627, 72326730, 655800404, 656433154, -1, 633211678, -1, 933250090, -1, -1, 388362650, -1, -1, 576751167, 326253017, -1, 527649689, -1, 924621373, 793114283, 312967081, 134242123, 806027767, -1, 278054549, 820858541, 937628196, -1, 987793690, 707657667, 675372607, -1, 251033236, 485124229, -1, 699191678, 300108466, -1, 691735158, -1, 362605390, -1, 476308015, 767309366, 197713898, 223984287, 443523487, 597881758, -1, 987684031, 119770980, 706684435, -1, 675150472, 644264487, 326735428, -1, 303392492, 325936285, 313698938, -1, 735121383, 681276385, 761185828, -1, 488668160, 738015584, 533632688, 783700578, -1, 888120883, -1, 304961275, 142806009, 84439695, 451953671, 63877866, -1, 587801463, 844371744, 613006333, 810288702, 655627922, -1, -1, 941775286, 404815813, -1, -1, 373359114, 912014522, 802803210, 960599857, 425069888, 99987914, 627442808, -1, 624531854, 11907558, 659007653, -1, 718793349, 371185301, -1, 786217902, 601615683, 474881726, 20985111, 209156465, 127305074, -1, 323764243, -1, 527989588, -1, 948623163, -1, 356905520, 827268700, -1, 273377893, -1, 732320518, 411327206, 729348869, 860292632, -1, -1, 531969903, 396779043, -1, 871902335, 272756159, -1, 101839444, 386282602, -1, 412391278, -1, 114144927, 314397041, -1, 872540506, 39317694, -1, 470428035, -1, 799721153, -1, -1, -1, 376541853, 586207469, -1, 179142971, 962671527, 553369585, 927540247, -1, 199863199, 669094748, -1, 386137405, 685281584, 547692194, -1, -1, 958014859, -1, 365017919, -1, 265035921, 908790042, 237619175, 917560713, 303509370, 432294154, 390326980, -1, 417824982, -1, 711915402, 576918585, 351506092, 474376851, -1, -1, 256620325, -1, 672013936, 147406352, -1, 425950964, 63550005, 417169856, 119181686, 650763447, 779249188, 273088145, -1, 599088564, 562905139, -1, 593385704, 850966341, 759616545, -1, 608757709, 624144471, 708047182, -1, 628165125, -1, 415879127, -1, 667898090, 544480206, 500780400, -1, 363002042, 820563647, -1, 632370364, 908187053, -1, 682125163, 679655119, 439685855, 845147072, 961452562, 493078065, 177653293, -1, 475222393, 134877684, 567323399, -1, 488494226, -1, 756685984, 764192366, 351322390, 487385592, 180752683, -1, 442904829, -1, 979414235, 872030635, 500481876, -1, 526408927, 51654050, 474734270, 476468609, 873111216, 788916095, 544013983, 970474517, 464359969, 697754338, 119773918, 115725376, 487821216, -1, -1, 563384344, -1, 646292322, 749917973, 924659488, 588972004, 671425383, -1, 307841629, 516986089, 638576027, -1, -1, -1, 865345979, 44557952, -1, 644963923, -1, -1, 174430443, 252565207, -1, 948118975, 636339526, 332575916, 261730319, 882579359, -1, -1, 434959942, 799268344, -1, -1, 636719205, 444556261, -1, 783970271, -1, 62232783, -1, -1, 94276685, -1, -1, 981351841, -1, -1, 471627000, 721115724, -1, 488146422, -1, -1, 782542962, 509730080, -1, 510672385, -1, -1, -1, -1, -1, 376589906, -1, 441233481, 631471375, 850872051, 923712494, -1, 40309858, -1, -1, 184877766, 780564388, 882262958, 761481177, 217200541, 937518013, 881559368, 403164393, -1, -1, 378926414, 164915603, -1, -1, 211317486, 475025806, -1, 861329924, 503467386, 888538377, -1, 301507277, 342106993, -1, 881408412, -1, 256546150, 928889238, 664929664, 690736966, 703297351, 413708825, 893771267, 227062834, 853232889, 303372710, 586144866, 539583868, 694281221, -1, 103098640, 12641412, 952227224, 694494919, 22296125, 171429392, -1, 267571731, -1, 536020488, -1, 664778182, 722379360, 812492630, -1, -1, 623253448, -1, 696489668, 89630856, -1, -1, -1, 163483070, 726078688, 563958836, 560895523, 381534591, 891060690, 984445122, 906286877, -1, -1, -1, -1, -1, 917964051, 235891970, 627456654, 105306855, -1, 279528361, -1, 20742484, 697030905, 602081848, 427973445, -1, 25827829, -1, 770424443, -1, 713946168, 503915679, 408687494, 923428461, -1, -1, 906073109, 542273907, 256735513, 969323865, -1, 767822201, 616054888, 208653374, 989286818, -1, 343654466, -1, -1, -1, 103992992, 834958737, 577384241, 134702766, 393364567, 949716901, 105037952, 125551651, 865564461, 293939798, 589582541, 267405674, -1, 468893990, -1, 356071796, -1, 366018892, -1, 778342777, -1, -1, 781467386, 180294037, 55525835, -1, -1, 939400326, 355285246, 120261700, 748139355, -1, 89251548, -1, -1, -1, 971476250, -1, 616621943, 127412895, -1, 592794189, 96490731, 904324762, 299052973, 890460366, 754476389, -1, -1, 941604762, 491184762, -1, 640654549, 683408974, -1, -1, 602109447, -1, 190465482, -1, -1, 443029630, 751670745, 479679593, -1, 411648450, 975680103, 588247117, 651251533, -1, 450932294, 570647570, 621740005, -1, -1, 156855983, 119680877, -1, 638932200, -1, 76974308, 957259653, -1, 340733578, -1, 115752335, 328272882, 253166118, -1, 954252806, -1, 533158289, 686577313, 54849436, 73172902, 419395986, 241707739, -1, 336329555, 866044201, 319679368, 970790186, 495627078, -1, 793085681, 927068976, -1, 264699138, -1, 592655436, -1, -1, 439866432, 35777223, -1, 457187734, 726266605, 377083246, -1, -1, 535828984, 39148242, 694719025, 544102342, 41090290, 3619397, 17833340, -1, 816679981, 169625913, -1, 460784180, -1, -1, 536135762, 223870123, 889027611, -1, 354785738, 157881003, 438341551, 122176000, 308708745, -1, -1, 319481184, 652311054, 472752238, -1, 218801293, 472366397, -1, 427610676, 724348334, -1, 641272031, -1, 641457356, 160702247, 192924391, -1, 318283726, -1, -1, 547734156, 678676249, 849864137, 480123842, 135483707, 249903385, -1, 172177852, 720724088, -1, 605809714, 424891451, -1, 558180251, 678443257, -1, 806473303, 353414719, 973689485, -1, 563249767, 110358266, 17776454, 493591815, -1, -1, -1, 402518842, -1, 104986766, 699563872, 724497481, 802776387, 904585481, 354651717, 357169437, -1, -1, -1, 143067501, 274817184, -1, 637427531, 717608682, 932454757, -1, 669720968, 676268255, -1, 19056901, 355895665, 427695295, 239087112, 412458155, -1, -1, 986652760, 71528360, 429170171, 188828625, 279858178, 406846061, 218960558, 289573519, 281597039, -1, 637500929, 147532160, 7287198, 931420924, 73082514, -1, 505058924, 661982664, -1, 49612972, 210614995, -1, 446778708, -1, -1, -1, 173520326, -1, -1, -1, 650882895, -1, 253438727, -1, 648163473, 116495031, 299696551, 693943503, 137828167, -1, 301363211, 658890111, 300898390, 93464765, 23940497, -1, 945881344, 374101270, 575679380, 628440691, 540885409, -1, 906926032, 442707989, 724886199, -1, 35880204, 541977368, 732733763, 198943374, 185908548, 775136573, -1, 534644054, 321180838, -1, 574115613, 699252170, -1, 848021409, 271274416, 766723726, 983259495, 978869939, 314339709, 42591020, -1, 208051358, 465581412, 608202405, 830123610, -1, 753373410, 415649026, 564933891, 498250290, 400182331, 967015389, 217163943, 867124066, 784729792, 588209392, 38564475, -1, 122702894, 491134001, -1, -1, -1, 660370405, 56147922, 812621596, 179494307, -1, -1, 76312487, 705722019, 892203415, 909799005, 349786100, -1, 541753820, 946338490, 366357800, 817913158, 571385608, -1, 254803125, 456510043, 184864921, 198602960, 575760387, 816774027, 106027657, 337163410, 78573781, 450000688, 964770955, 657907029, -1, 611057996, 588160438, 115001631, -1, 233087706, 774969892, 256031123, 171017542, 823154337, 974258789, -1, -1, 935341482, 713470147, -1, -1, 726447520, -1, 182806485, 883405656, 38281125, -1, 361602477, 997321829, 212273974, 318678578, 371937606, 926748398, -1, -1, -1, 567345601, -1, -1, 186765009, 854449453, 973264327, 874393490, -1, 288364086, 297909748, 808138329, 770312720, 994384184, -1, 534272723, -1, -1, 915041805, -1, 578901434, 319933953, -1, -1, 994648874, -1, 570877625, 108564141, -1, 546033882, -1, 24409373, -1, 332558859, 482578331, 673722723, 957150786, 960371095, 565965706, 902352914, 977772779, 724985485, 25973518, -1, -1, 436485982, -1, -1, -1, 917973774, 845679438, 724095599, 865342570, -1, 564521283, 448145484, 99689673, 513126898, 358422045, 408254498, 4610878, -1, 133845206, 265365920, 525608109, 777728762, 603415788, 357815550, -1, 131261836, 506434582, -1, 871171641, 464064977, 887026813, 348401227, -1, 680964553, 443807835, 213049627, -1, -1, 950282396, -1, 406999461, -1, -1, 672809001, 18609613, 641974309, -1, 706439097, -1, 536220570, 436544695, -1, 431055126, 139085630, -1, 798430182, 530001915, 920145005, 13715081, 699497907, 250252548, -1, 948446220, -1, -1, -1, -1, 445525478, 243080779, -1, 163734740, 897306227, -1, 748222460, 602421892, 52698273, 269727372, 247140221, 420871746, 452091440, 695548851, 82699048, 865167651, -1, 40927844, 896178347, 695726661, 297477924, 2720100, 687711100, -1, 492520097, 346381629, 865201726, 828171284, -1, 828045143, 560257723, 333165473, 65942774, -1, -1, -1, 51718564, -1, -1, 182629882, 997981407, -1, 546931807, 431689068, -1, -1, 827242683, 895623678, 294370539, -1, 514866686, 276739699, 601975648, 433177453, 562045756, 767367221, -1, -1, 792856629, -1, 363181061, -1, 556225249, 486526701, 985343235, -1, 924692493, 305231593, 764111090, 55672319, 573741064, -1, -1, 869140317, 762743397, 864673071, -1, 274815036, 855777563, -1, 428094734, 617141946, 549261740, 45572366, 980171653, 480004705, -1, 636357660, 893811059, 334247182, -1, -1, -1, 42599288, -1, 269149105, 5704639, -1, -1, 354066208, -1, -1, 599230829, 201261520, 327562935, 401863174, 272219151, -1, -1, 812557243, 834107286, 587565566, 698870768, -1, -1, -1, 175813006, 127519020, 656271796, 500321453, 615709138, 292947216, 505086848, -1, -1, 515417268, -1, -1, 297157579, 299915507, 22428527, 257871817, -1, 912532733, 715943718, 141913726, 520519578, 691320773, 313496103, 230683530, -1, -1, 180240708, -1, 902061123, 866358761, 906363903, 970433388, 745279920, -1, 611505922, -1, 936772862, 719551942, 311061675, 271759110, 578157256, -1, 890321652, -1, 519252815, -1, -1, 472679039, -1, 485323411, 609261647, 528636373, 994445247, -1, 336727996, 61768965, 977144006, 579235762, -1, -1, 805347091, 41398199, 157276007, 368454070, 416893530, -1, 12934377, 841432929, 919568018, -1, 614359290, 581482154, 329963735, -1, 257773294, 356618881, 790386523, 609911682, -1, 840629079, 933418044, 846816338, 334274103, -1, 560831972, 840092431, 808363482, 799965879, 17368488, 217341629, 275077211, 682574426, 493022674, 406259232, 824331026, 321230674, 949397495, 319490584, -1, 537138398, -1, -1, 732054802, -1, 450670783, -1, 175013265, 341783897, 700874501, -1, 923226929, 500455827, 341846695, 93523828, -1, -1, 992843384, -1, 772697616, -1, 123084065, 796764706, 439040384, 427783553, -1, 293157724, 653083581, -1, 635257649, 616670762, -1, 426672814, 78039, 254044769, 436282380, -1, 81668025, 238357596, 237299689, -1, 287509520, -1, 402327864, -1, -1, -1, 45846455, 502005927, 228372139, 17857322, 110017609, -1, 317719596, -1, 115502426, 399269098, 164853012, 405157162, 274463836, 574627729, 30266381, 506977525, -1, 390862224, 130124516, -1, 454166863, 349797565, 403699884, 913463156, 170535827, -1, 474857767, 81071293, 508876526, 499440514, 50071734, 410894406, -1, 984062315, 790371757, 431104391, 917779291, -1, 350430732, -1, -1, 572343701, 361007046, 640404954, -1, 69141372, 156883908, 693367675, 265843059, -1, 173173696, 313485302, -1, 81684803, 865307289, -1, 511685828, 294289180, 559534423, 454447737, 445761385, 956852268, 874195286, -1, 795067370, 990934327, -1, 291006914, 36428178, 837394474, -1, -1, 654212624, 438532884, 59678349, 131067599, 37052818, -1, 48258241, 238594391, 533297583, 544284897, 522951198, 182124221, 613579605, 681649959, -1, -1, 234303264, 723955483, 333350880, 890704058, 851383867, -1, 91132135, 874191579, -1, 838814183, 126281302, 200551453, 283570630, 62425265, 733590557, 72815743, -1, 461469279, 577241616, -1, -1, -1, 968719304, -1, -1, 156912288, 252647286, -1, 514419649, 309659878, 440760941, -1, -1, -1, 555719625, 341885555, 930125108, -1, -1, 374803067, -1, 173076788, -1, 213001808, 359749296, 136168458, -1, 987527290, -1, 199279892, 856075355, 718754237, 411758718, 453417000, 660304454, 857711259, 845653665, -1, 174524028, -1, 734356525, 135595426, -1, 860067479, -1, 749183302, 798079693, 865625842, 157479366, 720067998, 554660667, 163773248, 430010182, 865722135, -1, 427536559, -1, 64174401, -1, 242982911, 497754449, -1, -1, -1, -1, 503304291, 614294895, -1, -1, 119224280, -1, 290856770, 319118744, 814113070, 580179004, -1, 668719798, 598522643, -1, -1, 885166141, 739626531, -1, -1, 19029081, 362740898, 238793825, 321788553, 52177813, 113527736, 687943473, -1, -1, 458105914, -1, 347023009, -1, 699063603, -1, 386732333, 94260899, 210136189, 382436044, 586642749, -1, -1, 234086227, -1, 255429850, 784199899, 861767949, 705988795, 772465598, 616358489, 385109657, 284705007, 395192561, 895446629, -1, 983037394, 866741393, 523812721, 145322355, 383042248, -1, 744686994, -1, 909809667, 767692450, 352057360, 52801842, 701330548, 193705339, -1, 779575783, 208921950, -1, 260799372, 474877082, 565155781, 593692613, 766745264, -1, 909310881, -1, 776951517, -1, -1, 260669889, 220721185, -1, 144069138, 40104236, 766264091, 325482189, 101065672, -1, 544488278, 454600207, 428188164, 985213345, 898865168, 557403161, 576744692, 452654788, -1, 71474575, 150443042, 447919463, 79561763, -1, -1, 197450520, 57637180, 2726238, -1, -1, 645237514, 521824923, 301868552, -1, 906701476, 673646804, -1, 546473391, 859334473, -1, 397393910, 128981147, 439664959, -1, 46859639, 571703482, 187638724, -1, 534034411, 820428976, 635101055, 308761992, 943538330, 855276693, -1, 169868343, 74599096, 349126686, -1, -1, -1, -1, -1, -1, -1, 496539372, -1, 490044090, 309743625, 308073364, -1, 985463940, 239875807, 543844856, 122709010, 514714762, 161409454, 647576778, -1, 905259883, 935898820, 706350335, 868559689, -1, -1, 641203260, 874247857, 636402864, -1, -1, 344469477, 601240803, -1, 774750676, 359175314, 261840434, -1, -1, -1, 863790740, -1, 457076050, 355553518, 69271914, -1, 239410353, 276912907, 649857906, 757692407, 356582109, 65821438, 918110757, -1, 492303687, 633038067, -1, 538907410, 764055939, 470848402, 448785380, 13561688, 219804639, -1, 384269579, 901923870, 332434770, -1, -1, 677546563, 134784626, 435060090, -1, 46900904, 838475866, 872169315, -1, 953953571, -1, 292330837, 342481681, 868284883, 398440262, 446134581, 869669227, 801254229, 165806279, 168148493, -1, 73368447, 112367175, 891529095, 620995678, 568807528, 115135998, 518258800, 216149007, 158148578, 740465869, 995945666, 468317052, 325945957, 322990821, 239267625, 513831998, -1, 281818401, 788099905, 707949922, 335843560, 772499761, 388020521, 59805511, 464433518, 884497490, 35280207, 5079155, -1, 722951129, 120913634, 381779855, -1, -1, 467685193, -1, 80378750, 243463646, 749314081, 293385935, 807228963, -1, -1, 261357830, 397707565, 760559053, 36713719, 823003744, -1, 854639340, -1, -1, -1, 683692453, 726836351, -1, -1, 907164248, 284751952, -1, 112741729, 453514033, 454206479, -1, 376470856, 266076130, 238592894, 24939037, 366206869, -1, -1, 959141228, 267993620, 95958486, 857388779, 821291589, 315199558, -1, -1, -1, 200844551, -1, 237834028, 568558233, 656960657, 269996739, -1, 661391133, 614673691, 478210616, -1, -1, -1, 634737785, 798644405, 158499539, 317632428, 430439955, -1, 811037901, 308314236, 670479374, 915376168, 58328612, 572262513, 275887243, 889262964, 666336497, 714306943, 304093523, -1, 820849353, 372536604, 587115507, 615037919, 447203550, -1, 547521853, 62618990, 201894366, 273728930, 483296294, 793122082, -1, 947739335, 206243216, 287533041, 984602884, -1, 618047997, 118357263, 290002616, 259261185, 188360966, -1, 352006288, 22610920, -1, 642616509, 858617811, -1, 157074086, 29294803, -1, -1, 290960800, -1, 311347191, 812257418, 37771940, 577869558, 872706347, -1, 799845831, 932796872, -1, 590497937, 506338403, 370644348, 943029636, 460602957, -1, 290382763, 781840472, 596956124, 102269566, 939459110, -1, -1, 674819015, 672012762, 543179695, 227738926, -1, 187792823, 29283509, 363015517, 714461540, 850983621, -1, 194168042, 489032966, 964454031, -1, 386976165, -1, 745696819, 742960635, -1, -1, 527440638, -1, -1, -1, 914336644, -1, 200783447, -1, 92156638, 192255305, 168035356, 48972052, 112478352, 248977250, 873608336, -1, -1, 175850291, 99226839, 182835728, 464502751, 301690717, 471996015, 818382990, -1, 753729604, 840521167, -1, 970562784, 214982192, 726628472, 576296758, 179913923, 873656694, -1, -1, -1, -1, -1, 995755726, 847641176, -1, 80737316, 937743856, 83706188, 716287980, -1, -1, 573139903, 887643941, -1, -1, 949450545, 370092773, -1, -1, 248210627, 629158177, 234008099, 853706689, 464521384, 425177696, 190000301, 660400438, -1, 125940373, -1, -1, 864873004, 439454133, 369581624, -1, 473357521, -1, 764913363, 364730832, 678270225, -1, 430362126, 201958729, 412678248, 154013325, 705783546, 201807704, 741945996, 834533146, -1, 905438287, 649710118, -1, 945850397, 156298970, 980508933, 350027066, -1, -1, 513311847, 410174452, 839430071, 202694595, -1, 326517933, 831679765, -1, 495499368, 894571875, -1, 349783380, 591016944, 73943309, 702055598, 119176626, 27208786, 507357303, 223126693, 690661814, 913333432, -1, -1, 782006356, 917902531, 3317870, -1, 25340123, 510742134, 958088075, 720342849, -1, 630297652, 417564125, -1, 946845965, -1, 686204665, 129052322, 880842134, -1, 98520236, 952784765, 324898997, -1, -1, -1, 409473843, 768929389, 329814692, -1, 214131361, 699179679, 976377653, -1, 545100350, 59353222, 746356946, 713453785, 561254599, 629141877, 767194601, 146302929, 607664994, -1, -1, 602445257, 24967440, 219572979, 152217133, -1, -1, 195406463, 303073622, 253223279, 803169982, -1, 838217133, -1, 686308131, 6503885, 865505592, 472554378, 807049037, 178898222, 42822652, 940415799, -1, 392488953, -1, 376669661, -1, -1, 150879345, 997914940, 64637527, -1, -1, 173338692, 968934675, 964561947, 965180797, 595377358, 828716990, 3824699, 441658144, -1, 945376444, 711803505, 504700690, 779282220, 929306590, 409229960, -1, -1, 877679119, 956177912, -1, 701165482, -1, -1, -1, 444179795, 311155459, 778999065, -1, 42504345, 136980748, -1, -1, 250818363, 635072520, 811151852, 528419004, 616936451, -1, 287988522, -1, 754787178, 623825258, -1, 815660068, 7187369, 209848750, 468886216, 947434797, 397776844, 418172989, 606909477, 901816111, 482844232, 843823536, 924713098, 464740557, 155371839, 699417068, 398565958, 139673286, 21983900, 613096954, -1, 242842124, -1, 443631634, -1, 944876549, 961538289, 506130260, 746564760, 810566532, 611359095, 797141881, -1, 552804466, 630952215, 157909439, 340042378, 193811810, 545933842, 277407116, 317052793, 490052581, -1, 307633858, 593817440, 761731645, 346304278, -1, 773389031, 883345338, 121724487, 566013223, -1, 376167457, -1, 341499738, 412770484, 231350721, 938711616, 181688930, 843548301, -1, 881493598, 292141022, -1, 213574627, 151522071, 564476959, 685662583, 313052224, -1, 91378731, 245645365, 500888212, -1, 525627698, 543003373, 826212289, 636592096, 94524007, -1, 591491716, 125161382, -1, 411953451, 683898100, -1, 381849874, 616386859, 477197538, 6698046, 96977503, 587725972, 978993788, 131230143, 412455213, 427235384, 223420379, -1, 36199821, 215853884, -1, 857283232, 145769687, -1, 702943865, 986414530, 332936258, 124744415, 330316422, 528313512, 627707502, -1, 985389965, 880000243, 147204874, 222482176, -1, 156008765, 500280120, 702052826, 100438688, 179699457, -1, 364539961, 900731690, -1, 840998162, 408159155, 91097810, 188395027, 612186374, -1, 745816493, 544252105, 607261835, 165499471, 303030612, -1, -1, 843374890, 899953483, 246858694, 606668015, 797976873, 493035884, 391259982, 625640067, 255651671, -1, -1, 693966614, -1, 592627627, -1, 700644314, 924034018, -1, -1, -1, 350625715, -1, -1, 555484349, 158163897, -1, 770787867, 394029196, 374099754, 126017358, 574296182, -1, -1, -1, -1, 143175064, 384027461, 356992166, 328959873, 118374992, 979922316, -1, 484815489, -1, 624804480, -1, 581336540, 893379466, -1, -1, 590817222, 606594291, 54055179, -1, -1, 418274669, -1, 492602473, 729027093, 371147128, -1, 460055698, -1, -1, -1, -1, 777976579, 959153073, 359196020, 352017432, 433755938, 281483965, 621939126, 681611485, -1, 121952347, 481384830, 778249689, 884653248, -1, -1, 744779650, 185906853, 221042020, 151943801, 554175173, 556684822, -1, -1, -1, -1, 248560723, 513055185, -1, 557685522, 773338956, 638547798, 155341339, 290114080, 470009746, 192953348, -1, 868860253, -1, 119146103, 685289622, 794600285, 789490133, 354498323, -1, 865728265, -1, -1, 980084608, 303718165, -1, 284833115, 948080352, 692880199, 102041316, 283554234, -1, 206508517, 330758716, -1, 988567578, 202817899, 202396774, -1, -1, -1, -1, -1, 871314636, 190134878, -1, 283826077, 38614931, 348691995, 337532581, -1, 955685550, 953821454, 457279548, 365718484, 83005817, 969912006, 536589098, 552404657, 596994917, 842567262, 233294509, 929182250, 147764771, 103639151, 531994528, 88605313, 470196379, 609009942, 772151527, -1, 833970310, 715191409, -1, -1, 233953742, 967869159, 156404664, 292733744, 839552898, 962430785, 425333688, -1, -1, 790249612, 368530696, 527639812, -1, -1, -1, 755021642, 695492600, 255252744, 691706302, 906010964, 666536780, 238600631, 932057647, 887397360, 341118128, 914173037, 433595330, -1, 452347682, 705027204, 731230334, 749905668, -1, 188897976, 29563078, 393114509, 180209158, 766354001, 147844499, 781544189, -1, 597942405, 329906606, 719623117, 957232102, -1, 724305569, 893950276, -1, -1, 627004521, -1, 108584746, -1, -1, 989765021, 70940021, 133728547, 942441926, 890135196, 266777649, -1, -1, 503683027, -1, 634441613, 78034651, -1, -1, 770182117, -1, 909405131, 555577727, 901152788, -1, 269126267, 998254244, 378403235, 413443490, 71346483, -1, 387061085, 18730173, 741741480, 774422970, 893604291, -1, -1, 913580836, 509833091, -1, 550202668, 162316266, -1, -1, -1, -1, -1, -1, -1, -1, 884772036, -1, 780377313, -1, -1, 347564288, 132879447, 983052656, 326808679, 366918965, -1, -1, 863498689, -1, 630585306, 644230633, -1, -1, -1, 634285286, 258446743, -1, -1, 450350405, 472525991, 960707463, 897727667, 489079603, 572406471, 945982684, 271831348, 613286642, 907405994, 20203523, 764110702, -1, 417440708, 640060820, 765378523, -1, 259563889, 302439741, 159059408, -1, 415706715, 339801684, 556999562, 51571374, 934494007, 351308540, 725121739, 575071469, -1, 786313592, 285922342, 936790532, -1, -1, -1, -1, 8897991, 76010041, -1, -1, -1, 320676881, -1, 117148807, 519322567, -1, 980102121, -1, -1, 649213146, 853519839, -1, -1, 931648308, 374426258, 476798058, 447172940, 54415256, 419902724, 990507781, 745487868, -1, 230124496, 983375484, 874326634, 315730174, 74770828, 18209714, -1, 842531070, 491692800, 52510241, -1, 80356333, 254230151, -1, -1, 603693467, 439596792, 839416507, -1, -1, -1, 304057833, -1, 41509135, 400699376, 623809135, -1, 569050163, -1, 163026100, 263853214, -1, 858042202, 957998889, 408367327, -1, -1, -1, -1, -1, 781927098, 901576454, 49173569, 816317503, 475772896, 182463979, 189497108, 820982368, 476460603, 659318520, 751561748, 162438776, 458792399, -1, 566892531, -1, 414513070, -1, -1, 975824714, 411595164, 47434288, 646547765, -1, 503030031, 249490461, 551793835, -1, 741500066, 389188440, -1, 916025313, 295883257, 805091881, 243489625, -1, -1, -1, 283537985, 291987878, 343786787, 967397005, 941403024, 214514638, 344733738, 707355305, -1, -1, 919770564, -1, -1, 790369063, 273354535, -1, 52588183, 504427290, 254400809, -1, 1628159, -1, -1, 751614684, 235876664, 826682595, 640826247, 22419841, -1, 7455399, -1, 164755530, 527745748, 405683917, 484584763, -1, 266415583, 81693390, 854854326, -1, -1, 134386558, 679128441, 970799703, 847751741, -1, 32604794, 199767907, 220909319, -1, 36699120, 521880179, 908044591, 376014408, -1, 84188206, -1, 316164126, 757720050, 456332061, 471874730, -1, 591628081, -1, -1, -1, 860137149, -1, 735572226, 151932539, -1, 531141856, -1, 790448110, 49020026, 669644346, -1, 119706494, -1, -1, 359797268, -1, 430692625, -1, 784207398, 692201752, 867893096, 250832637, -1, 644700107, 736233809, -1, -1, 430985344, -1, 39117721, 184850373, 591448204, 46390639, 959622020, 367642156, 145569084, -1, 430184933, -1, 410052615, 91209336, -1, -1, 375726609, 578137703, 854304522, 753946146, 421713406, 708737065, 340987310, -1, 131657739, 443271490, 589856907, 435809392, 252550998, 620398365, 378361505, -1, -1, -1, 424868161, 634028483, 315232483, 46857399, 553209729, -1, -1, 171876350, -1, 421160504, -1, 347170208, -1, 771067744, 804965105, -1, 575995747, 718993748, -1, -1, -1, 60086314, 929077975, -1, -1, 58670655, 789566870, 787324844, -1, 419613752, -1, 392624609, 29214123, -1, -1, -1, 3599959, 790558290, 935941066, -1, 79419066, 386953708, 139316623, 73341370, 966300428, 661733358, 309250870, 273009880, 573901904, 288441103, -1, -1, -1, 174126402, 505568342, 137298478, 19445585, -1, 921431336, 536766896, -1, 512989951, -1, 228897689, 604119414, -1, 576347656, 850362885, 983609450, -1, -1, 449794102, -1, 80273794, 150017703, 697913335, 904958947, 226349617, 821009561, 713714031, 131985406, 299288212, 887372170, 282632144, -1, -1, -1, 888565865, -1, 552446194, 190973487, 455664202, 774020734, 738938805, 482212753, 470166920, 357530019, 572274685, 498706271, 973120476, 695803112, 456266519, 439947057, -1, 627963190, 501210448, -1, -1, -1, -1, 77758766, 875398620, -1, 297170893, -1, -1, 729605188, 927381765, 704217602, 594192912, -1, 57123163, -1, 479230502, 951840844, 249015601, -1, 981652373, 804991939, 530936431, 728688614, 375297007, -1, 489301688, -1, 891078822, 398538551, 346163203, 880471226, 894110717, -1, 786680693, 988021867, 273090548, 992579882, 551534911, 874036320, 968001910, 475796639, -1, -1, -1, 241936816, 545295814, 972162169, -1, 619298684, 463965912, 252259776, -1, 685446209, -1, -1, -1, -1, 842285636, 841539379, 935382500, -1, 426284700, -1, -1, -1, 356094150, -1, 559438211, -1, -1, 793137401, 777306023, 827976960, 115424972, 651107827, -1, -1, 915792231, -1, 595488518, 775161088, 997631596, 393109740, 996371299, 875234523, 80911344, -1, 905278705, 274527937, -1, 615170623, 149658580, 859232323, 107436263, 523188560, 62280609, 224757625, 375073387, -1, 215543966, 452681688, 16760263, 194085381, -1, -1, 497461419, -1, -1, 855435457, 806687504, 272246917, 364690696, 692796150, 890400115, 621709907, 549750113, 104689699, 145978926, -1, 352324531, -1, -1, 95546981, 982891116, -1, -1, 825928110, -1, -1, 894691362, 323982140, 669998767, -1, -1, 152716302, 781230267, 809046012, -1, -1, 269979422, -1, 491828590, 782771264, -1, 428797521, -1, -1, 75836658, 626147486, -1, 35772718, 810026371, 475013850, 475977386, -1, 942396659, -1, -1, 622173404, 153865142, 130191551, 935914848, -1, 658324532, -1, 326853015, -1, 427359392, -1, 831850778, 427458432, -1, 936911065, 376848189, 762211568, 875536357, 631845106, -1, -1, -1, 117055596, -1, -1, 748370774, 497874963, -1, -1, 603950460, 644578754, 911529695, 717252117, 613962639, 286123016, 612723057, 761360857, 909020861, 216145827, -1, 129815244, -1, 142524142, 130584127, 407935065, 307476765, -1, 348402464, 85438845, 965234616, 126429846, 94755213, 39411752, 405698932, 135913800, 472270151, -1, 340158188, 283029254, -1, 917150955, 135313874, 209066718, 148570645, -1, -1, -1, 172436951, -1, 362037481, -1, 730727180, 191456535, -1, -1, -1, 937994054, 62922647, 851984133, -1, 241613988, -1, -1, -1, 15759792, 166468021, 79136070, 122142866, -1, 814703324, -1, -1, 610677869, -1, 434710476, -1, -1, 400020750, 787103032, 443375467, -1, 411405836, 161222354, 681202092, 482328224, -1, 736499880, -1, 644168409, 380009887, 544741271, 62210806, 687727360, 128739207, 392268869, 159805573, 235955936, 40006065, 302246884, 24591506, 153615577, 459696940, -1, 66969756, 979509790, 776826471, 452703419, 66569842, -1, 994629575, -1, 469061823, 868319011, -1, 937621216, -1, 34930297, 733880797, 185957178, 611601999, 226621922, 917048225, -1, 230519133, 32646236, -1, 732116817, 271063503, -1, 663453663, -1, 22900165, 361678307, 377273287, -1, 845348721, 744377152, 84605317, 820050917, -1, 913844396, 183379534, 851391353, 660022714, 114153558, -1, -1, 741054522, 216567930, 136359006, -1, 519971154, 946341983, -1, 266893641, -1, 915859718, -1, 694665343, 183392558, 163831280, -1, 667302229, -1, 498269727, 755678724, 925614194, 211318846, 759815230, -1, -1, 634019088, -1, -1, -1, 911974144, -1, 44553374, 311043234, -1, 799667129, 118454688, 508407443, 125409771, 396435377, -1, -1, 508510621, -1, 346311538, 905318925, 970183278, -1, 161402274, -1, -1, 984137717, -1, 290766276, -1, 560735754, -1, 594915740, 230862245, -1, 758481786, 844294594, 998405004, 332693083, 196628692, 242598086, -1, 616069214, 627684100, 866298258, 462050827, -1, 826721825, -1, 581777857, 225684340, 432538084, 154984978, 307519788, -1, -1, -1, -1, 581967794, 68970522, 692858959, 988675823, 401068592, -1, 320525926, 572592323, 29226192, 157178008, 755536698, 35295787, 609337754, -1, 351735375, 972536626, -1, 659531441, -1, 6486494, 900648814, -1, -1, 742302040, -1, -1, 686112781, -1, 984438198, 507921462, -1, -1, 161395137, 396848766, 99215030, -1, 532634947, 444810067, 655724763, 761944126, 705703812, 381012538, 909883567, 495893600, -1, 332744531, -1, 532083635, 539989501, 658668631, -1, -1, -1, 593396345, 379797367, 197290850, 423501416, 225061028, -1, 549338717, 809115468, 701706145, -1, 355180378, 899812102, 699555445, 258062796, 246842008, -1, 120143965, 87533782, 605239937, 192045814, 264366022, -1, 833321572, 772194003, 987447155, -1, 433321052, 847023185, 774434555, 485662721, -1, 695757183, 276927253, -1, 278978627, 712287335, 897201284, -1, -1, 416516511, -1, -1, -1, 634594322, 737308485, 689879206, 115159795, 468576786, 953500134, 426065611, 816136700, 638842989, 796670983, 474446519, -1, 114038191, -1, -1, 681652283, 755994738, 955878593, -1, 317982252, 464358654, -1, 556918570, 680754832, 243395452, 612509709, -1, -1, -1, 995725100, -1, 971920776, 477967780, 141716396, 30489976, 914673548, 891667784, -1, 516639381, 999741889, 766768778, 524482727, 280280333, 425198783, 135102174, 315326286, 619933871, 975954515, 876193242, 446124312, 806092475, 300248468, 384121800, 47778775, -1, -1, 410580073, 411918439, -1, 583565780, 403318638, 485900456, 315348319, 388551712, -1, 280071197, -1, 110177744, 897882857, -1, -1, 123191897, -1, 231026948, -1, 25767294, 476088712, 969620743, 326914748, 219829014, -1, 721631206, 783345626, 860598876, 491102425, -1, -1, 976399964, -1, 294965897, 365824271, 190737746, 163987146, 777113360, 656098401, 728181123, 432205697, -1, 244837046, 17159608, 116095627, -1, 259294596, 880705286, 994918711, 526622118, -1, -1, -1, 498601104, -1, 366833033, 501504230, -1, 840203604, 406976126, -1, -1, 767907151, -1, 83207795, -1, -1, 727213677, -1, 459171575, 2591699, -1, 3657733, -1, 291411427, 744181493, 180409731, -1, -1, 514127630, 737061733, -1, 625220804, 965705819, -1, 858398657, 325302575, 197020255, 406652313, 263937172, -1, 419713570, 861261596, -1, 111950460, 469163571, -1, -1, 813346618, 146771623, -1, -1, 311788698, 106156820, 713776124, 349666937, 800057646, 364005978, 352519512, -1, 399755818, 453344845, 37261603, -1, 162817129, 171814858, 333628354, 727891434, 121107179, -1, 734611506, -1, -1, 286620588, -1, 533301452, 167774449, -1, -1, 202025236, 170687046, -1, 729422776, 387775330, -1, 760028463, 84364611, 840488523, 126649817, 160401943, -1, 443056465, 680129760, 7435875, 694096844, 550587356, 593563215, 221830055, -1, 873876619, 804893888, 606704522, 197086711, 607014566, 465948727, 357729744, -1, 957699911, 832063801, 255855669, 376927850, 347965083, 64916760, 533295829, 292753361, -1, 948085302, 307994727, -1, 573124588, -1, -1, 847454287, 100350748, -1, -1, -1, 160619535, 941478296, 596934750, -1, 831632958, 268726553, 947337728, 431768968, 854630558, 975274929, 881122182, 517471197, 606896924, 420049624, -1, -1, 788726000, 667121440, -1, 257324049, -1, -1, 830484221, -1, 397069442, 426945398, 881881545, 651733948, 437911461, -1, 877851065, 722557661, -1, -1, 98054794, 421321686, 741138954, -1, -1, 993448812, 18330843, 494638553, 640827138, 722738232, 377306680, 22244950, 901248107, 443153701, 913174983, 704224262, 384803911, -1, -1, 648323796, 155927954, 244126158, 92406908, 702027063, 453818446, 217035883, -1, -1, 811178337, 792252165, 562098133, -1, 773440167, 550247221, 610794420, 64718148, 379633050, 46154386, 903830302, 392794510, 200487944, -1, 946965867, 762608776, -1, -1, 845184748, 259866014, 196582986, 384394470, 373805698, -1, 114845452, -1, -1, 908024231, 185684520, 760991175, 219191721, -1, -1, 262874566, 153739764, 193185347, -1, -1, -1, 988410502, 60736130, 636712550, 65137447, 468877275, -1, -1, 607066096, 833561306, 551946, -1, -1, 613516934, -1, 326559745, 494675375, -1, 777473220, 716124497, 504330487, -1, -1, 759950745, -1, 215806557, 623432931, 350813440, 334509717, 849644554, -1, 713397193, 201460248, 238897784, -1, -1, 851191520, 713635239, 138012446, 612576898, -1, -1, 440436265, 126135536, 827216406, -1, 837442327, 311259819, 472736129, 134903942, 906195857, 481671844, 317600766, -1, -1, 499858690, -1, 853031716, 850895332, 480952766, -1, -1, 27413565, 397578311, -1, -1, 313072112, -1, 276797102, 127540141, 21658400, 141338898, -1, 547422798, 678505765, -1, 233371286, 473742163, 682122245, -1, 698141892, 649687400, 401863619, -1, -1, 895781468, -1, 417390167, 383676450, 883545568, 993444456, 30671786, 366061625, -1, 104712924, 796410286, 681137498, 122687131, 726350543, -1, 294575651, -1, 587622032, -1, -1, 509335722, -1, -1, 89341069, 829070440, 345385047, 537059906, -1, 309714334, -1, 746526770, 826059093, 804614835, 964985279, 52909615, 777896264, -1, 114988856, 164994158, 648075666, 873737276, 380812991, -1, 114548209, -1, 2150638, 637652308, 707583196, -1, 610317313, 341687876, 53781601, 876207682, 818129321, 190276999, 540400886, -1, 94151657, -1, 780059193, -1, 930100196, 798220910, 198628872, 21475015, 417047821, -1, 689096010, -1, 15111869, 614584487, 365478037, -1, 757123261, 232783705, 535024631, 116605017, 731469491, 286340318, 160163799, 448711151, 206904685, -1, 872702753, -1, 194516596, -1, -1, -1, -1, 331024176, 293439994, 133877987, 452736340, 918469091, 938681030, -1, 86698594, 534740062, 671805702, -1, -1, -1, 960231497, 1751242, -1, 44292198, -1, 183872447, -1, 937543031, -1, 699071567, -1, 592927888, 212519337, -1, -1, -1, -1, -1, 821662169, -1, 8929103, 945549463, 383112905, -1, 901978699, 84020009, 53658144, 390668140, -1, -1, 821080603, 650140780, 321002804, 816319124, -1, -1, 296081391, -1, -1, 854944000, 71479171, 221763847, -1, -1, 152046596, 190213222, 924692606, -1, 173360182, 391857483, -1, -1, 439558936, 285066313, -1, 854461694, 699719848, 418836016, -1, 313363639, 969287654, 103735540, 748295550, 926996453, 264708147, 823236465, 878521571, 18173051, -1, 435178842, -1, 450161514, -1, 388644374, 25753075, 222293059, 510551433, 92939927, 846917728, 16892947, 940742097, 534388397, 125291615, 467995828, 988230968, -1, 405436734, 791521310, -1, 117572208, -1, 42887075, 541978735, -1, -1, 267149906, 217524410, -1, 402200840, -1, 748569406, 65153809, 647011079, 819042417, 813319741, 487890335, -1, -1, 160617154, 953383537, 838679863, 290590421, 110032751, -1, -1, 360153823, 869523213, 374464503, 359479879, 48233462, 80772641, -1, 692737964, 953705891, -1, -1, 416140935, -1, -1, -1, 654790733, 418435151, -1, 805409241, 26037212, 194819933, 336307300, 910781723, 44309747, 678897746, 39224352, -1, -1, 981175760, 153269362, -1, 219376859, 885123995, 216326067, -1, 97786970, 691467247, -1, 18872627, -1, 343661794, 739385753, 114149911, -1, 41134106, 936738079, 267772106, 871404812, -1, 593403808, 133643919, 209010699, 759298466, -1, 682818174, 464742173, 583418581, 891585802, -1, 565436887, -1, 208522669, -1, -1, 142998439, 923378397, 395742547, 827001123, 847421381, 174474393, 413793391, 465867187, 218962008, 781589709, 289241603, -1, 492703546, 785909424, 463671068, 553302789, 581071267, 61783679, 974472262, 699656499, 224349302, 365757, -1, -1, 667873782, 477898168, 364105410, 687262180, 356569430, 392450661, 180179525, -1, 835511621, 859672236, -1, 913333737, -1, 130340236, 520145165, 950548733, 31518575, 442565847, -1, 515564919, -1, -1, 142650301, 49800921, 654391189, -1, -1, 612466783, -1, 438596998, 426968207, 893064256, 150974391, 603305570, 143286754, 748540050, -1, 636779591, 101715336, 107095520, 93811127, 535375903, 784524231, 407818347, 19038511, 242525797, 482104423, 415232317, -1, 22432105, -1, 422834456, 425777599, -1, -1, -1, 34565642, 596189405, 567208067, -1, 790766715, 273039902, -1, 164158339, 515088018, -1, 156800338, 87943291, 577607421, -1, 295078388, 366362785, 81564659, 802173640, -1, 751808525, 502988380, 182717927, 234706444, 52622182, 225789811, -1, 765163134, 41243972, 678985012, 650537085, 109943717, 933170236, 542046341, -1, 336898408, 389444856, 482739833, 349436650, -1, 68274828, 860065919, 158737956, 351585981, 294428804, 156558563, 830788136, 471328555, -1, -1, 435168961, 824199328, -1, 118282344, -1, 563707955, 640730630, -1, 192111893, 964270389, 206617179, 507437246, -1, 500861117, 356463336, -1, 689095933, 74340654, 10878058, 75157637, 623307525, 144727026, 159604417, 559214236, 157143176, 31607333, 294216782, 691631629, 972455378, 191471840, -1, 19689528, 211862974, 958462755, -1, 462521807, 685244610, 921081133, -1, -1, -1, 225054173, 574518190, 288122090, 93181448, -1, 865885085, 23174741, 777597562, 971509955, -1, 764297910, 78565975, 631399706, 418146276, -1, 664814978, 178799977, -1, 79561999, 60037124, -1, 581844887, -1, 799543680, 458600585, -1, 536189291, 578162300, -1, 215110007, 539480290, 437200760, -1, 172242628, 549519657, 947422341, -1, 808124818, -1, 135765023, -1, 817350233, -1, 980089301, 50519711, 163050350, 858977562, -1, 220498136, -1, -1, -1, 19700773, 421547624, -1, -1, 786124038, 723903751, 82274312, -1, 310425555, 487249699, -1, 62502329, 264819613, 433979224, -1, -1, 573745288, -1, 222055633, 55255093, 643426883, 536651257, 801751815, 320434638, 877936506, 334602609, 632698225, 822329702, 361907518, -1, 174346064, 145381605, -1, 453426905, 553130062, 70152743, 537118786, -1, 535229724, -1, 527620732, -1, 116891868, -1, 487734601, 582192521, 991369423, -1, -1, 715282240, 542950666, 38549177, 844370760, 392292324, 425522368, 356238119, 804874646, 703571219, -1, 159221313, 620465900, 698128944, -1, 524589093, -1, 561164520, 505676178, 926974746, -1, -1, 306793264, 287019827, 466408145, 384384309, 160889346, 66039897, 767816703, -1, 855372954, -1, 85458626, 568396566, 134085224, 142819362, 335817622, 143492085, -1, 578317814, -1, -1, 402242511, 499994706, 405716621, 331078808, 522165193, 260960604, -1, 758047254, 839413309, -1, 24000425, 813173455, -1, 416394500, -1, 151337670, 555671091, 86480846, -1, -1, 772794098, 209223541, 780727834, 246989068, -1, -1, 986503740, 262250224, -1, 637551699, -1, 294228319, 66321536, 160184013, -1, 137849751, -1, 622528459, 606616070, 760996378, 929758180, -1, 442471514, 33665553, 891260554, 880613429, 229045059, 615100821, -1, 567327371, -1, -1, -1, -1, 655246014, -1, 926818598, 154465306, 306430209, 942413323, 444417463, 830268535, 165561550, 910270369, 480859336, 829725364, 613749031, -1, 365261639, 542591205, 70707063, -1, -1, -1, 318106357, 135925138, 870889376, 51047007, -1, 400387985, -1, 666306981, 789165389, -1, -1, 6877794, 261461163, 521991570, 457168364, -1, 153074025, 998165436, 958278484, 157761677, 207972705, 292229770, 722292283, 478033947, 765371978, 752155712, -1, 117732171, 100989150, 957707975, 522274864, 573355555, 10745505, 404624903, -1, -1, 67164907, 323156719, 188115176, 864381952, 89354707, 712031692, 697475312, -1, -1, -1, 428375071, -1, 966571711, -1, 510052308, -1, 738747275, 271817687, -1, 152652520, 737920702, 542524563, 69607645, -1, 997936402, 934335422, 640777013, 376141774, 872879517, -1, 444228182, 228432340, -1, 963690555, 847896670, 538989332, 302538504, 714115345, 245486327, 770799699, 44791395, -1, 558566533, -1, -1, 241338652, 860721928, 184138150, 888511826, 909967362, 987413800, 252648143, 903132087, 239780374, 389318978, 636781548, 296642746, -1, -1, -1, -1, 965055953, 369679809, 966863722, -1, -1, 938114039, -1, 825119637, -1, -1, -1, 130999126, 724212101, -1, 684154370, 573707390, 111076777, -1, 588437989, -1, -1, -1, 805005239, -1, -1, 858495331, 97999556, 707580573, 535607507, -1, 180728471, 839724663, -1, -1, 138946740, 43045028, 216535244, 644313408, -1, 638949696, -1, 678257285, -1, 835936594, 774034704, -1, -1, 354744185, -1, -1, -1, 736885668, -1, 512848704, 372467001, 338958891, 527536898, -1, 918060724, 982497389, -1, 410530053, 462925885, 505889056, 789215557, 123866538, 386230629, 339802659, 230083762, 161883153, 32566786, 681162770, 391691906, 158748643, 918505594, 965154482, -1, -1, -1, -1, -1, 440573339, 260026499, -1, 59759322, 764754077, 769289697, -1, 102588593, 835734643, 862764806, 103394397, 96419812, -1, 303748446, 731629470, 219090197, 732544546, 777076799, -1, -1, 627899054, -1, 159735241, -1, -1, -1, 174191724, 635393284, 425046357, 860221062, -1, 872269269, 104249830, 437743290, 789653028, 228598169, 299981739, 867525044, 196146647, 371321434, -1, 502127458, 89276174, 62504637, 190292789, 489889705, -1, -1, 677738392, 384206104, 461030266, 139710767, -1, 570731165, 465286054, -1, 588521911, 463808978, 639287797, 321634768, 332544627, -1, 61897863, -1, 502545759, -1, -1, -1, -1, 598480694, 4708536, 827603898, -1, 221375725, 822890162, 127110201, -1, -1, 953177738, -1, 603658812, 327781661, 852451636, 800197965, 97211373, 643052371, 284704969, 755783820, 577241678, 623327260, 290393561, 22995452, 575385939, 2345983, 986893804, -1, 660829316, 967901360, -1, -1, -1, 838102228, 318162582, 502209474, -1, -1, -1, 788121324, 436393234, -1, 688117306, 54518182, 379337034, 199137599, 229840725, -1, 843740758, 207216622, -1, -1, 305902419, 638438997, 908030803, -1, 750835755, -1, 585179382, -1, 228379196, -1, 861128605, 178154038, 250516769, 24090821, 236873495, 273682088, 234572929, -1, 427154775, 874849851, 354543710, 715356593, 133158395, 719720769, 90287212, 964970564, -1, 864961306, 213631112, 63513449, -1, 78500773, 213422999, -1, 755292102, 729689431, 146214906, -1, 230742122, 729891216, 221204503, 122904683, 164410541, -1, -1, 736832298, 265196636, 640841949, 85690152, 865677179, 967027407, -1, -1, 584329116, 439772305, 890358200, 548262696, 503670716, 619601083, 103173964, 362632922, 41048880, 994838215, 51236200, 185673073, 263939784, 27570746, 845551369, 316695122, 467473307, 545264337, 327245834, 518852098, -1, 678673244, 871823102, 680796931, -1, 872696754, 958170079, 518507145, 652972990, 920404816, -1, 335473507, 875806613, 401463768, 541931118, 744596166, -1, 331442275, 975196269, 334644068, -1, 208089016, -1, 299149588, 894934478, 477293463, -1, 873894900, 378974204, 306291, -1, -1, -1, 950065353, 271057151, 984378631, 174118009, 60638398, 948408426, 548349944, -1, 596961623, 809347821, 994120210, -1, -1, 333803016, 837833405, 361812796, 558622035, -1, -1, -1, 787235114, 461337274, 553061038, -1, -1, 641406529, 347352706, -1, 242579728, -1, 310593182, 524460457, 439717576, 825305667, 727312420, 246418211, 288201712, 111590704, -1, 784558672, -1, -1, 467832021, 110767352, 96714208, -1, 709721606, 298748917, -1, 627859350, 232051863, -1, 980113438, -1, 598025275, 625548330, -1, 741298954, 458625431, 150144367, 58172982, 760066786, -1, -1, 286608477, 241664380, 109367722, 783293729, 73022549, -1, 775772568, -1, 435753948, 756302760, 493501196, 278823436, 867585751, 673065385, 90973201, 645602143, 116208498, 351557197, 549166059, -1, 439360936, -1, 727171134, 518361075, 448604423, 722669633, 822717334, -1, 890859805, 203803848, 8399076, 627327144, -1, 726683994, 180008299, 724241080, 564247184, 61060117, -1, 643738281, 432617926, 790066245, 663868439, -1, 99649449, 796954928, 330139274, -1, 31780299, -1, 324021268, 728630311, -1, -1, 912989305, -1, 946174224, 689722652, -1, 865217152, 25356543, 24697864, 221054355, 417528650, 177926958, 97256924, 982197509, 578713427, -1, 16825806, -1, 25690012, -1, -1, -1, 821585921, 522308077, 107135029, 330377182, -1, 540825828, -1, 726168168, -1, 885793743, 251707101, -1, 753673122, -1, 856880845, 348775410, 200460833, 567190977, 65697971, -1, 134150336, -1, -1, 608285411, 413070249, 588363223, 499347261, 969112956, 416364943, 181794354, -1, -1, 634457086, -1, -1, -1, 324437269, 251571892, -1, 83188018, 640967550, -1, 238607635, 543279689, 844814877, 508762784, 677497665, 527797973, 993005305, 233811531, -1, 128417211, 97353821, -1, 505283519, 697148128, -1, 232792531, 415779601, 961186661, -1, -1, -1, 921545738, -1, 232076380, 743206062, 438899739, 308016937, 988327848, 704576499, 840002316, 238662101, -1, 256353717, -1, -1, 302962533, 799408142, 74933168, -1, 112018537, 483292538, 3270151, 626779593, -1, 551228669, 630107874, 807263161, 679494731, 155657232, 869319457, 469028291, 91448573, 323110451, 339206384, 680795354, -1, -1, 708798467, 827139767, 710517816, 434850397, 825549920, -1, 968406822, 213337985, 737225996, 988121171, -1, 88428823, -1, -1, -1, 398247355, -1, 10848647, 918700036, 990877773, 167401343, 181302107, 160953042, 179693630, 180814436, 425980731, -1, 292974815, 724661837, 819727300, 276888585, 558595079, 310500625, -1, 38770376, -1, 288038094, 944301534, 9129255, -1, 661244070, -1, 459616541, -1, -1, -1, 396476235, -1, -1, -1, 808495131, 16951975, -1, 115088320, -1, -1, 29016060, 771687271, 967591524, -1, -1, -1, 727423542, 723661105, 700211755, 79508899, -1, -1, 335932232, -1, 832151156, 180414196, 621068692, 558748273, -1, -1, 512713, 462318044, -1, -1, 148176891, 622817172, 267457896, 543769653, 306619062, 571126953, -1, 163261392, 689040585, 457039479, 872997051, 683518631, 239708795, -1, 406450654, -1, -1, 746839398, 633715513, 909550284, 443867513, 356543163, 293262274, 715238104, 25990264, 274926504, 455307225, -1, 38952118, 30607747, -1, 358459497, 917798954, -1, -1, 948133264, 79520310, -1, 970766556, 662730185, 567215519, 27004179, -1, 577008404, 980274297, 322099234, 272505434, -1, 272288380, 351360237, 899171760, 653474762, 212838889, 953469480, 874765796, 290725123, -1, -1, -1, 270418190, -1, 36181165, 753386607, 971383603, 666520339, 480886267, -1, 301664428, 703409020, 867436057, 372998158, 530705208, 121337439, 365248466, -1, -1, 894426511, 628754171, 237374673, 53579423, 435218061, 576339386, -1, 56766280, -1, 288958358, 675369052, -1, 689162810, 845258364, 398720602, 526726304, 40249467, 929552215, 668711992, -1, 67970070, 793517167, -1, -1, 686236526, 622315115, 816205508, 21215447, -1, 214932050, 413888569, 394090290, -1, 352033851, 287280850, -1, 430177585, -1, -1, -1, 680985822, 873761603, 758110, 674656812, 193545604, -1, -1, -1, -1, -1, 937419695, 477306014, 623032258, -1, 693757669, 392633524, -1, 868426650, 575983693, 157311875, -1, 35242766, 851864063, -1, 914065053, 475006381, 774850365, 699875468, 523652962, 471988806, -1, 540561149, 21337960, 291790591, 381400181, 778364213, 326580242, -1, 943778236, -1, -1, 222957608, -1, 302198815, 382272657, 202446815, 762965730, 42961190, -1, -1, -1, 726683670, -1, 124328354, 63595248, 446948840, 181898966, -1, 395292448, -1, 981816436, 512136733, -1, 269267023, -1, 121604291, 276784858, 930119559, 834949772, -1, -1, 465103037, 240712292, -1, 382140608, 523538197, 430743247, 262972680, 197747525, -1, 774335807, -1, 348273913, 110179254, 98334654, 307165339, -1, -1, 207307337, -1, 460155619, 108631616, 49924328, 152163843, -1, 918794335, 129182880, 954150944, 583643146, 660731953, 253075133, 303425570, 2238419, -1, 910116281, -1, -1, 593843747, -1, 838562166, 41648577, -1, 327174535, -1, -1, 708979043, 967830515, 392253025, 436753624, 762820978, 55948885, -1, 703742864, -1, 716156725, -1, 41249995, 132895548, 379654088, -1, 142183297, -1, -1, 417655374, 647752129, 703644530, -1, 475546898, 468875955, 441980811, 846661928, -1, 867169249, 588291575, -1, -1, 208989613, 521703168, -1, 979017440, 84621710, 132618294, 251487010, 75932319, -1, -1, -1, 297507564, 385846694, -1, 505063147, -1, 737266562, 137731186, -1, -1, 866152321, 838706893, 722436022, -1, 981176485, 148717860, -1, 140323096, -1, -1, 280136868, 894220433, 76582585, 976051366, 353849715, 209865745, -1, 869819496, -1, 343074155, 395414325, 131566268, -1, 557151473, 12421289, -1, -1, 599315997, 310187061, 103140794, 328411340, 167744587, -1, -1, 529961521, 454460879, 917541038, 743026169, 901903479, 42859910, -1, -1, 999073628, 807419098, 614568379, -1, -1, 589201203, -1, 462095000, 110923902, 557905763, 582108589, 456373093, 790096269, 219674500, 28214619, 99531127, 646019522, -1, 664096516, 830657100, 180182806, 154179001, 258000922, 693863071, -1, 217745300, 631208855, 273534176, -1, 325591037, -1, 306538006, -1, 168588894, -1, -1, 54635700, 175984531, 731661151, 689363491, 91496846, 369953719, 312635683, -1, 733785036, 770823585, 123355375, 644540913, 912646820, 44268253, 97228974, 624020855, 464306374, 136807469, 866864895, 834844046, 690092260, 754033417, 633532697, -1, -1, 431441542, 145066561, 578181840, 149035025, 860990690, 945676176, 501972486, -1, 565002329, 841643389, 771163396, 636605723, -1, -1, 903408092, 727308185, -1, 464375453, 845392778, 867853973, -1, 631253666, -1, 664193108, 559936082, -1, -1, 605970206, -1, 729306187, -1, 462637785, 2956315, 54249352, -1, 41983886, 69618021, 510836581, 376067470, 775435897, -1, 690125445, 603090169, 615301392, 365098655, -1, 713052231, 658407773, -1, 422164791, 480955544, 8577142, 606591113, 516501153, 93412335, 587542515, 335256513, 361896616, -1, 760592013, 773444613, 982900115, -1, -1, -1, 862801741, 732584010, -1, 258991786, -1, -1, 479413416, -1, -1, 216963521, 991538963, 294152941, 590529978, 667273284, 991601554, 320732535, -1, -1, -1, 507035629, 952660209, -1, 838177876, -1, -1, -1, 463749582, 858281761, 710157248, -1, 435856846, 268567190, -1, 699711720, -1, -1, 875960077, 790191071, 911565463, 231435986, -1, 372513530, -1, 410893453, -1, -1, -1, 613753934, -1, 949074001, 897180963, 979167420, 877697028, 92602057, 639330916, -1, 83156592, 55187277, 432800531, 267781136, 989786883, 638955975, 62015310, 995535386, 908428491, 377239502, -1, -1, 664174719, 700368165, 189177423, 574901644, -1, 124842081, -1, -1, 159892373, 195855339, -1, 672518756, -1, 491116790, -1, 997315260, 212170227, 101536324, 127548040, 789428427, 700443789, -1, 451915354, -1, 191302333, -1, 482743492, -1, 758964972, 411122560, -1, 19802074, 165425604, 764293704, 947450059, -1, -1, 629984538, -1, 461753266, 284951888, 442085637, -1, 796072028, 223442652, -1, 426490873, 134152611, -1, 197832771, 424579068, 884326316, 880078422, 850032793, 193431239, -1, 948803343, 116454190, 746711751, 86387921, -1, 667852482, 975743012, -1, 554534933, 175774337, 914509774, 523637080, 93516167, 28289662, 153125224, 625953851, -1, 528313625, 540653241, 347028655, -1, 767816788, 869312033, -1, 152821352, -1, 721803344, 146625980, 195225056, -1, 534334972, 127653089, 251628795, 620935824, 169494224, -1, 79555215, -1, -1, 343585562, -1, 418492664, 561141101, -1, 63000272, 98799198, 436181258, -1, 707768967, 211699092, -1, 280617109, 116097869, -1, 586825849, -1, 788479514, 313293975, 80017093, -1, 893810949, 128531766, 237505495, -1, 626511139, 593773591, -1, -1, 13875216, 898652827, 298547542, -1, 17123832, 966261273, -1, -1, 73636061, -1, -1, 546781137, 749955519, 33994520, 461293466, 823527884, 116221542, 147191736, 77715027, 598311463, 677593880, -1, 683337654, 32313539, 694262233, 150471383, 133472979, 782546172, 662887003, 625816103, 299577528, 365445983, 566246570, 782647453, 52449379, 787144352, 33814965, 412953277, -1, 406724235, 379917481, 352717538, 578939443, 635204539, -1, -1, 426397608, 402680487, 752212516, 484533418, 796678004, -1, 784161045, -1, 421022404, -1, 266993608, -1, 442740347, -1, 222970156, 663816174, -1, 78898203, 421861950, -1, 398084343, 836036026, 14896470, 579999781, 788650686, -1, 372707445, -1, 602770210, -1, 413924313, -1, 585094566, -1, 516970260, 17428697, 719693876, 737786098, 163812046, 626233403, 605656101, 241754374, -1, -1, -1, -1, 433645601, 836225010, -1, 970050529, 710709966, 818969860, 215758767, 974423372, 930710173, 139161908, -1, 258746668, 581259969, 788291036, 715100639, -1, 778304124, 359217158, 176625232, -1, 80428451, 824858269, 606824034, 277495980, 207069852, 659777180, 690137523, 887936303, 770566107, 335901889, -1, 92263119, 834374174, 839685307, 279054409, 278301535, 732955672, 308096230, 982287876, 754726085, 977890396, 255663596, 821381356, 311419799, -1, 427298065, 270048706, 189262900, 200536104, 854500001, 198091262, 252441052, 14556688, 332782235, 870565847, -1, 651736185, -1, 193838091, -1, -1, 616641431, 831943242, 384918075, 746878650, -1, 756766888, 279867000, 667589919, 599339631, -1, 449990870, -1, 817050396, 152842103, 793649446, -1, 910188340, -1, -1, 501728968, 494883144, -1, 257194147, 456147745, 559098608, 271859571, 224398397, 569103097, 146243203, 867788168, 256900866, -1, 555266856, 346315549, -1, 70251034, -1, 647059481, 44626447, 398260940, 235427898, 114514646, 509758015, 914149342, 730794263, 859352051, 526253596, 110288341, -1, 432214473, 321217377, -1, 113842130, 368833957, 95820219, -1, 182307896, 695341360, 632245727, -1, 603490048, 877259276, 377358965, 254546819, 115889402, 369487201, -1, 188538847, -1, -1, 170585460, 310047116, 977577091, 678823362, -1, 397344081, 487204345, 422930612, 329376107, -1, -1, 845799656, -1, 377353470, 704196439, 493849473, -1, -1, 161245688, 917010866, 259923575, 109606258, 879334224, -1, 520302372, 679322139, 707649365, 760188000, -1, 706638917, -1, 821071433, 456938147, 526116555, 486041905, 556258137, -1, 739485994, 735926610, -1, 764674625, 966623187, -1, -1, 338747469, 338475360, 124232710, 129170910, 387076791, 832826392, -1, 127598806, 230675055, 829609289, 802701939, 129239091, -1, -1, 478830277, 756040151, -1, -1, 782172786, -1, 778104129, -1, 687647200, 340592984, 517638911, 785302853, 29927537, 773109608, 229591898, 289763899, 702528647, -1, 783878844, 416000532, 694004689, -1, 634057402, 443221304, 970493137, 593196349, -1, 655972539, -1, 681120529, -1, 537898027, -1, 628680371, 568795434, 145366923, 292207469, 155807532, 866370912, 885378776, 885462450, -1, 786325800, -1, 552132383, 577017482, -1, 401314260, 75962207, -1, 756422518, -1, -1, 171309230, 434709196, 525365302, -1, -1, 858108854, 560943087, 130302445, -1, 848104925, 764653667, 537657431, 339259819, 659130258, 109746326, 82265494, -1, 645337453, 713539406, 594496969, 890774408, -1, 738554125, 489526809, 729312381, 715478399, 736647772, -1, 469766129, 598693175, 755278999, 795174431, -1, 773993763, 404716346, -1, 461577789, 190222405, -1, -1, 282965231, 297443999, 309398707, 22076074, 703814441, 733334063, 432620501, 237515892, 331927924, 147130761, 75150345, 387840198, 406395269, -1, 524018604, 429782032, 678700295, 831613889, -1, -1, 286935794, -1, 616499582, 74414671, 371423578, 121494357, 345895137, -1, -1, 646002444, 399669476, 31049232, -1, 421415935, 974434973, 59205259, 779011263, 199327904, -1, 539636530, 831011658, -1, 342507168, 226775316, -1, 812219058, 643847931, 816384536, 78432033, 844989594, 794947376, 790821316, -1, -1, 186308345, 310601369, 988540086, 50814341, -1, 389809903, 544650365, 267320378, 738602943, 547093047, 616871541, 394956359, 890643349, 187886384, 255086191, -1, 517731274, 727791661, -1, 732560440, 881686992, -1, 788431918, 827291879, 462239253, 315780579, -1, 193681275, 326145709, 858343425, -1, 542834925, -1, 374541686, 821620711, 691842021, -1, -1, 402857137, 51066810, -1, 886539972, -1, -1, 121621189, 770748452, 604127283, 32375581, 270989330, 919432986, 83173848, -1, -1, -1, 884905439, 846033840, -1, -1, -1, 858971258, 89637199, 445247917, 180593315, -1, -1, 630147843, 751485536, -1, 707732829, 987056142, 90020462, 235122887, 215686637, 627244768, 803746545, -1, -1, 993235833, 565976953, 148295284, -1, -1, -1, 947328128, 147671878, 939850769, 824532188, 287597363, 866415789, 706099146, 522131637, 362385589, 365460642, 12376860, -1, -1, 643349638, 336065612, 212665365, 194199937, 713471444, 906129469, -1, -1, -1, 483074696, -1, -1, -1, -1, -1, -1, -1, 490740040, -1, -1, 641246427, 468193776, -1, 281389450, 356844285, -1, 440219690, -1, -1, -1, -1, 588600913, 143428015, 461803555, -1, -1, 444656558, 847881136, -1, 229211921, 176194996, 404534712, 709783781, 645460312, -1, -1, 450933600, 808291224, 628673573, -1, -1, -1, 129375066, 734976804, 3965501, -1, 449007728, -1, -1, -1, -1, 247112439, 63035503, -1, 193727724, 147478259, 573791933, -1, 382428927, 582225875, -1, -1, -1, 182649276, 269453233, 959106366, 871155771, 141539616, 777230683, -1, 763754562, 247158145, 840036272, 765204264, 184039521, 488227027, 242735046, -1, -1, -1, 285157793, 97449194, 367202548, 25523727, 964685862, 410263062, 488891020, 986280569, 449340238, 95654328, 804244805, 723083469, -1, 201184180, 82543920, 595815520, 699689736, -1, -1, 693819108, -1, 732015412, 67242707, -1, 632089130, 623452634, -1, 438416395, 997391603, -1, 253319552, 561817959, -1, 784343066, -1, 461275124, -1, 744810095, 870859371, -1, -1, 522604355, -1, 797174858, 601058909, 971897104, 186514530, -1, 748991310, 730546000, -1, 280709506, 353709263, -1, -1, -1, 135642010, -1, 464466308, 811895772, -1, 280387174, 902691058, 82213281, -1, -1, -1, -1, 642923975, 937381810, 28510053, 571296910, 687887750, 975720905, 131789166, 32552569, -1, 314136042, 395850733, 862090200, 989342901, 404392016, 475721707, 644416200, -1, 853850570, -1, 443402806, 902585985, 928303016, 232028540, 898961029, 434036788, 51168427, -1, 734001831, 127921873, -1, -1, 875158671, 712783642, 13829380, -1, 891268649, 554868400, 787054814, -1, 825704957, 833596948, 8509857, 910438890, 532029569, 175105807, -1, -1, 659063291, 192839041, 801687086, -1, 643599713, 960431300, 703949569, -1, 323911666, -1, 263868850, 488252194, 797779853, 929122522, 576361464, -1, 522119981, 832034405, -1, -1, -1, 394032134, -1, 120010189, -1, 27953598, 755746228, 248301973, 378254704, 719670919, 153504371, -1, -1, -1, 907257693, 5147600, 478515443, -1, 637714879, -1, 293611969, -1, -1, 725843632, 862432331, 139199859, 153464140, 309120947, 724957026, 73321996, 43116793, 823690342, 306364189, 806820328, -1, 537031371, -1, 908457597, 717568254, -1, 70310884, 274169722, 359619904, -1, 609351154, 455562862, 683861506, 507915022, 754677576, 809368002, -1, 300948841, -1, 816010207, -1, 505643279, 84792482, -1, -1, 226906132, 126706112, 932303965, 699070816, 841548378, 713664327, -1, -1, -1, 867620008, 950205717, 182551002, 73003963, 611886789, 475668368, 352615576, 541603443, 622304604, 754289918, 668016808, -1, 776073465, 170517779, -1, 363966154, 246793888, 638096198, 981567494, 931360907, -1, -1, -1, -1, 674523888, 312397108, -1, 205814732, 89262033, 852375129, 579506335, 507206310, 987469712, 620146891, 87626224, 482693402, -1, 87279622, 246693584, 258304565, 676972645, 594905824, 622363992, 24226608, -1, 778175767, 970402849, 449965003, 39381836, 215328714, -1, 965809329, -1, 725064517, -1, -1, 646707625, -1, 436521416, 766848111, 125339065, 912689790, 530938647, 984066797, 868128791, -1, -1, -1, -1, 533767123, 394061914, 852010653, 615183357, 282448581, -1, 30080761, 772896938, 278274226, 353696196, 516290460, 906842172, 209845722, -1, 307648064, 112353928, 221952650, 45890610, 473566502, 756233286, -1, 784730078, 750835118, -1, -1, 390552538, -1, 471954423, 998736389, 311063020, 324742557, 845862708, 723375125, 157284185, -1, 180533482, 480559224, -1, 641149873, -1, 202017248, -1, 11916883, -1, 13384732, 166186152, -1, 174581675, -1, -1, -1, 260598372, 560271076, -1, -1, 957567155, 46405379, 707106773, 445679143, 390116133, -1, 956722050, -1, -1, 377270371, 988173502, 892150854, 507479960, 667413199, 415795627, -1, 374857776, 933622057, 287849412, 35201718, 218362635, 987821204, 117031130, 462494076, 839319082, -1, 501137089, 330292259, -1, 37787314, -1, 716763424, -1, 450976471, 989726680, 511360485, -1, -1, -1, 717199402, 450493647, -1, 905762036, 89884435, -1, -1, 464437063, -1, -1, 349503986, 111094077, 31469796, 561132040, 605828738, 190817476, -1, 49026563, 46667146, -1, 809190393, 345766355, 468953619, -1, 354485508, 293677057, 542401988, 955120369, 828541677, 785582272, 659847480, 270935168, 65788699, -1, -1, 560232878, -1, 562577693, -1, 331598404, 345618333, 629016401, 640239123, 935855968, -1, 582946892, 30989780, -1, 803967233, 914406420, 880146040, -1, 32949389, 712152468, -1, 228323086, -1, 981649516, 741995418, 34186512, -1, 119705912, 694498678, 480227719, 45771273, -1, 864971912, 258803115, 174415867, 580149079, -1, 844123177, 134404114, -1, 593886500, 990296143, 297574705, 488957922, -1, 875137875, 400876266, -1, 674880806, 870183587, 112907483, 609865937, 326233732, -1, -1, -1, -1, -1, 677763505, 503373802, -1, 131482673, 706643129, -1, 479708068, 125420809, 576332172, 821457580, 841125487, -1, 114144225, 664495231, -1, 729311710, 730072074, 415376847, 765745414, -1, -1, -1, -1, -1, 379601654, 180087065, 250539668, 656964533, -1, 212609954, 346000286, -1, 506274169, -1, 759408697, 439669394, 419839699, 678220734, 700095906, 69950485, -1, -1, -1, 118978591, 541855803, -1, -1, 598746916, 725099686, 494094041, 89516056, 345198640, -1, 359387811, 191361422, 39269158, -1, -1, 175851914, 779872669, -1, 161790418, -1, 163972041, 392470179, -1, -1, 129203742, 991541208, 990544482, 230778877, 546954608, -1, 692733330, 870213046, 103409574, -1, 324586256, 482000674, 925681948, 309733934, 762834436, -1, 812647157, 688085839, 460780112, 451940673, 229413932, 923097620, 563500679, -1, 441948714, 679371673, 157379985, 673695398, 856587068, -1, -1, -1, -1, 655676756, -1, 406681252, -1, 382844547, 818606051, 372976367, 101036242, 7647236, 597451484, 140087186, 565457452, 617613031, 502580478, -1, -1, 5905486, -1, -1, 284874254, -1, 420829361, 950263295, -1, 294644622, 636696096, -1, 956443913, 425787382, -1, 912308014, 863265524, 168844693, -1, 303191985, 368115692, 802434506, -1, 945320501, 171489579, 399494279, 373320253, 685027556, -1, 50981057, 567307070, 951564199, -1, 571939595, 895000606, 416088689, -1, 543052998, -1, 950172376, -1, 16408170, -1, -1, -1, -1, 561744727, 200463959, 747703694, 485192463, 259790631, -1, 647482559, 255312992, 896917085, 484915322, 368792258, 709512623, 276262029, 799122134, -1, -1, 702852697, 765833739, -1, 415916550, 969705978, -1, 917160865, 333327742, 527795548, 844212490, -1, 575019819, 709883162, 857932747, -1, 781324517, 746195737, 24556102, 50822510, 754684505, 846114305, 260704859, 978025573, 932121580, -1, 52916069, -1, -1, 713588836, 16444700, 562546045, 789221715, 585804903, -1, 928761670, 889138174, -1, 736665754, -1, -1, -1, -1, 137288217, -1, 847631481, -1, 837012925, 42159428, 297743461, 113677981, 306304790, -1, 361773209, -1, 501272453, 465738559, 589797764, -1, 627435975, 461873151, -1, 656874755, 509401822, 564362647, -1, 406780090, -1, 179990009, 289295920, -1, 84385982, 323496743, 656684696, 464544767, 672047618, -1, -1, 544260125, 358725264, 304345301, 533581206, 161955034, 985199387, 698099569, 63926711, 220787403, 742499474, 506807877, -1, -1, 917330274, -1, 863270461, 729483742, 301881761, 420907075, 137004022, -1, 618425575, 957682367, -1, -1, -1, 734669265, -1, 125970074, 696653893, 135273989, 270748659, 377940912, -1, -1, -1, -1, -1, 160960088, -1, -1, 918667188, 954287150, -1, -1, -1, 468486631, 603929518, -1, 444040010, 379432256, -1, 241063444, 853944137, -1, 401178224, 915775413, 627324490, -1, 227821775, -1, -1, 240605064, 508933290, 685134309, 156084853, 490697826, -1, -1, 899554983, 674923675, 936205498, 38138451, 643955457, 198511384, 634072708, 720715481, 603580183, -1, 635367037, 739896160, -1, 810723045, -1, 430134368, -1, -1, 61881879, -1, 960800420, -1, 643595903, 964077233, 354911522, 604048642, -1, 22058797, 510688231, 796817111, 227666571, -1, 434153315, 135981224, 553938028, 388952524, 823788012, -1, 875586847, 185250518, 227756920, -1, 166512483, 961699788, 686995438, 442887248, 792513223, 989015947, 445088115, 183871784, 822695970, 167191407, 646704960, 196376730, 610966313, 881048728, 195746834, 205884061, 770521231, 311451010, 736183930, 895769412, 922840229, 551973253, 703408708, 445331497, 450420355, 845088100, 981204694, 477714264, 76702049, -1, -1, -1, 122612217, 174525638, 517894762, 621698730, 93194667, 526142261, 725138743, 441917150, -1, 933354867, 452376213, 257380269, -1, 734809581, 987733852, 633891535, 110018672, -1, -1, -1, 321769130, 899102693, -1, 567223890, -1, -1, 354183743, 893145208, -1, 789167193, -1, -1, -1, -1, 759185232, -1, -1, -1, -1, 499496199, 715093574, -1, 39235451, -1, 537029421, 372181832, 877467815, 664671086, 763327181, 606909836, 417390882, -1, -1, -1, -1, 663991403, -1, 476168609, 496235984, 194957682, -1, 321906914, 511779357, 972242488, 535726505, 253919403, -1, 573648592, 995016809, -1, 464169129, 939562285, 268632728, 454276597, 11176622, 88689261, 488692670, -1, 510111715, -1, -1, 500247265, -1, -1, 956087196, 84768622, 361791667, 120583779, -1, 538006555, 444342863, 386700757, 511903734, 990775411, -1, -1, -1, -1, 641835688, 905003466, 689036625, -1, 321292918, -1, 557924697, 1096066, 971157024, 849764428, 255319396, -1, 527184954, 376261413, 560858317, 818360690, 398147222, 853773662, 878803085, -1, 928683816, 586015245, 200918717, -1, -1, 525434027, 362142775, 471175863, -1, 712180496, -1, -1, 830620415, 847182942, -1, -1, 331576017, -1, 662025489, -1, 419074940, -1, -1, 359650468, 961027155, 8348307, -1, -1, -1, 849072598, 620850503, -1, -1, -1, 376196117, 14921941, -1, 662753303, 834553641, 463382058, -1, 374970264, 177275454, 179164517, -1, 738920838, 828597699, 268328159, 899921209, 344299306, 125312815, 682479236, 908830133, 485869614, -1, 804031305, 785878747, 292915136, 892661664, -1, 738329256, 102527088, -1, -1, -1, 620995940, 882584701, 985691662, 10379612, -1, 239610434, 720565784, -1, 183353109, 274319882, -1, 691606810, 74791707, 164009746, 134583775, 621198917, 367506970, -1, -1, 895957387, 932904934, 720925799, 349977088, 848021279, -1, 361595704, 326839598, 283995721, -1, -1, 773851451, 981514969, 894994317, -1, 226019888, 37952050, -1, 227111483, 215797295, 280084807, 108737544, -1, -1, -1, 242018265, 939422997, 653526477, 511103465, -1, 456434164, -1, 423461255, 102448096, 91637730, 146931862, -1, 869074048, -1, -1, 381202206, 809947836, 204409241, 459627250, 93819637, 304006461, 294821078, 282998671, 419585732, 987965467, 136068074, 958326987, 236432289, 233903136, 23155658, -1, 9398078, 567281290, 406753544, -1, 772813828, 595601819, 505062089, -1, 303408363, 881682437, 225952127, -1, 16414771, 470701489, 732218555, 483729813, 381972381, 897713847, 76668752, -1, 149527826, -1, 314095053, -1, -1, 738011351, 539322901, 787788579, -1, 335106467, 221984497, 219943166, -1, -1, -1, -1, 856479509, -1, 506270576, 717250442, 568266699, 586371045, 38258324, 863450530, 464352709, 226979101, 444774784, 281054964, 198601085, 919076793, 809439840, 188783904, 565229105, 582562111, 972501513, 329330827, 816408873, 927981474, 138285734, 517703082, 448293373, 120141753, 313413529, 707228843, 112338458, 888989363, -1, -1, 189280954, 732730891, 8644523, 284795007, -1, 933076515, 496752351, 121283420, 471659501, -1, 491275394, -1, 832820454, 944562179, 565049629, -1, 856409611, 598499547, 849291985, -1, -1, -1, 446541568, 920314043, -1, -1, -1, 957575412, 255062755, 208853860, -1, -1, 97351997, 305911103, 343160565, 410803511, -1, 165569847, -1, 904286965, 981045649, 746397355, 240947001, -1, 410756958, 732081968, 409295853, 43557521, -1, 115220136, 538634248, 596424274, 828064347, -1, 588123882, 188408108, -1, 990367786, -1, 726964713, 632005612, 142036983, 232484786, 829013997, 376761428, 796759366, 533468531, 186696124, 134004155, 418660649, -1, 568737410, 181447419, -1, -1, -1, -1, 13778578, 71266170, 939409314, 242808251, 712360725, 933958585, 329232510, 267140854, 685153270, -1, -1, -1, 522260087, 625085549, 307908957, 279496807, 566687087, 931097480, 620753774, 716072846, 656326275, -1, 350181641, 58711205, 419887706, 9245400, 912225028, -1, -1, 410473815, 629541453, 14795471, 426196212, -1, 890547481, -1, -1, -1, 252186009, 273816064, 292876761, -1, 332553064, 553915188, 554749752, -1, 540620330, 600875793, 117673233, 827888355, -1, 280285289, 603980048, 538085863, 162230928, -1, 776182315, 890899666, 895144266, 807978312, -1, -1, -1, 688025593, -1, 915624358, 704614054, -1, 713565209, 795939146, 597600223, -1, 186210926, -1, 487951817, 368542181, -1, -1, -1, -1, 743987668, 274433484, 123521730, 876674839, 952508674, -1, 8712387, 591078259, 26408654, 341062866, 763197906, 469518581, -1, 778479683, 282393514, 562861014, -1, 36233233, 180959684, 309792061, -1, 813809443, 545268002, 993766270, -1, -1, -1, -1, 699307600, -1, -1, 496568109, 52836873, 790078097, 900716720, 866304979, 627931335, 660148940, -1, 370501496, 532426169, -1, -1, 881702879, -1, 80014414, 38711532, -1, 359195031, -1, 242355952, 208162453, 758299313, -1, 965345507, 38942968, 840254133, 922434170, 809486618, 806178537, 340632564, -1, 687708396, 155379423, 808289997, 623581643, -1, -1, -1, 652242298, 761827538, -1, -1, -1, 562537405, 207526392, 226376390, -1, 886440395, -1, -1, 155912533, -1, 420429191, 370955821, 710816190, -1, 776788470, -1, 538261743, 338683054, 860455263, -1, 97943493, 253460821, 115938997, 350144240, 103381376, 866411753, 747140454, -1, 357242867, -1, 351489086, 416187384, 979552382, 839344078, -1, 515854799, 700693643, 433466261, 538541446, 352402190, 786660552, -1, 925247599, 212918598, 905132909, 241573840, -1, 686200697, 854412696, 255884694, -1, -1, 631859764, 86740686, -1, -1, 947638095, 601161062, 499744612, 401629224, 809174549, 33259133, -1, -1, 468755187, 517702463, 313583422, 137911375, 840719527, 281819859, 178525120, 506952081, -1, -1, -1, 107331453, 723647284, 352528276, 301826251, 144070576, 290654681, 366638552, 158635200, 454284423, 63465478, 778177543, 409715555, 25744853, 447510700, -1, -1, -1, 544317622, 60168102, 618874620, 41417589, 614127934, 556214465, 7638180, 601807535, -1, 169427703, 230880421, -1, 511060877, 597360434, -1, 361151346, 692344894, 987708311, 344721764, 665421027, 854973592, 129127411, 983818633, 997776283, 180983892, 234333039, 166716240, 319645969, 192900532, -1, 164210297, -1, -1, 573547201, 954234768, -1, -1, -1, 351495465, 874367231, 951810769, 799471458, -1, 944912742, -1, 787636041, -1, -1, 599758590, 914098513, -1, -1, 522150541, 137305186, 324232602, 61049782, 71495717, -1, 872481329, -1, 375233387, 105782611, 194377606, 738080035, 836883528, 929788255, -1, 654590671, -1, 129348584, -1, 630034425, 936271227, 901131566, 729905893, 714377704, -1, -1, -1, 977680591, 453879998, 837418948, -1, -1, 318190710, -1, 745496244, -1, 7333831, 16956298, 811376306, 535626793, 719669372, -1, 459348934, 988392008, 205040157, 190084977, 140909303, 864326860, 361877523, -1, 865220456, 48967352, 33755617, -1, 160339634, 425525743, 837577775, 155503174, -1, -1, 112015259, -1, 337556634, -1, 938313630, -1, 7744534, 509568179, -1, 405094155, 571345201, 782923681, 409509083, 719788291, 377856146, 788641010, 708498944, 155290101, 440251308, 453342196, 90298887, 225131724, 578787487, 164670181, 120133943, 938093334, 876728946, 963395760, 892452139, 384790435, -1, -1, 985848849, 221339089, -1, -1, 109693375, -1, 265693841, 2738609, 168180883, -1, 527825043, 55039211, 668460176, -1, 997474459, -1, 435113822, 264948160, -1, -1, -1, -1, -1, 427694675, 961437961, 212489227, -1, -1, -1, 129678456, 894627432, 361375833, 306264822, -1, -1, 175000004, 604546649, -1, 457400062, 273478721, -1, -1, 817398442, -1, 678818043, -1, 647517268, 280287186, 676923076, -1, -1, 585324011, -1, 338672657, -1, 917163273, 274971713, -1, 480985969, 257809100, 679098898, 199073701, 753946647, 995833919, 294411992, 411663038, 732271310, -1, 22067306, -1, 93812048, 992632034, 866941979, -1, 668130952, 959220998, -1, 726365449, -1, 385521540, 165789450, 188834772, 432565540, 952167462, 360177391, 814221344, 165044016, 649521101, 301525838, 86498516, -1, 950868673, 81092690, 61982406, 863173551, 677475600, -1, 976708117, -1, 733285536, -1, 252630408, -1, -1, 543839006, -1, -1, -1, -1, 68803435, 746075244, 74972097, -1, 625740010, 43883173, 369856086, -1, 631285205, -1, 777623497, 946647652, -1, -1, 511367111, 413455400, 597996832, 909162434, 750317612, 21064770, -1, 773959094, 949062998, 477147438, 422674907, -1, 306833061, 337073804, 600528673, -1, 683901969, 132528719, -1, -1, 882832030, 809314522, 698829535, 260021674, -1, -1, 850254897, 229106500, -1, 794321149, 83039474, 633308820, 336388105, 955571730, 860562812, -1, 628042846, 223267038, -1, 367744003, 702418346, 565505413, 478614613, 85286026, 54574348, 939722026, -1, 211720594, -1, 404602759, 785503183, -1, 645573645, -1, -1, 526705337, -1, 794068616, 476342193, -1, 750197098, -1, 757697479, 437557847, 669347806, 756057868, 690179070, 143926154, -1, 861155517, 860035887, 500372494, -1, 299447564, 327523455, 726130222, -1, 637332779, 690114874, -1, -1, 670163140, 550681437, -1, -1, 976095619, -1, 775488610, 33926160, 687534319, 314177722, 154589506, 505357311, -1, 446485130, -1, 908917431, -1, 664609834, 250376071, 546699103, 728360875, 737970087, 64460678, 353588861, -1, -1, 855543417, 897780632, 794755380, 950990508, 413651843, 187056331, -1, 774930125, 647116624, -1, 826169030, 211173799, 641972988, -1, 397568994, 694825057, -1, 257358836, 968492778, 263876784, 915975000, 377049497, -1, 528609999, -1, 217991059, -1, 211372487, -1, -1, 620085253, 840733536, 576308673, -1, 896289173, -1, -1, 948908226, -1, 321339074, 144557996, -1, -1, -1, 447145253, 392999778, 47650345, 18383874, 645561246, 800592649, 549775990, 541728180, 760349137, 418722260, 682299189, -1, -1, -1, 908670260, 218360660, 747959592, -1, 931745650, 709997001, 380975651, 202708269, 720772373, -1, 962704362, 623944128, 318576670, 274379015, 542295452, 330542839, 516517638, 596100682, -1, 352451879, 115537911, 446318227, -1, 296596811, -1, 809736293, -1, 161882149, -1, 837961526, -1, 18796933, 506992732, 439101212, 970190010, 737912211, 7087185, -1, 513166547, 850157274, 688034221, 772830132, 885157251, 230802549, -1, 690690063, 285640704, 278419364, 566687642, 317386903, 475300998, -1, 119785529, 195281261, 871378234, 157835743, 211337464, 989408126, 656408296, 287489046, -1, 710538044, 911666992, 795175857, 615067291, -1, 547793413, 923158836, 802270374, 554825164, 554588294, 645303828, 708685313, 454227102, 39497130, -1, 180209963, 484099855, -1, -1, 180791948, -1, 41879377, -1, 39182919, 829502140, 59505817, 18030815, 91349142, 423489363, -1, 757064689, -1, -1, -1, 216057072, 950578790, 327158207, 417945682, 916745994, 463938453, 783977242, -1, 740245115, -1, 851665479, -1, 581351276, 384155331, 630772902, 237012582, 298433604, 367585459, -1, 317204923, -1, -1, 863898229, 463367119, -1, 682359640, 930844236, 843901060, 468688750, -1, 11634516, 90939232, 325325849, 83432790, -1, 318508742, 878549518, 880667187, 625285018, -1, 624366912, 354772089, -1, -1, 301600242, 426516362, 168225754, 836557391, 284813241, -1, 690368406, 473964700, -1, 454972649, 2317971, 690616569, 68979626, -1, 266898355, 220937137, -1, -1, 232232831, 898356310, 537648942, 494505843, 253269927, 673433750, -1, -1, 312567074, 494781486, 909863951, 636178340, 643471277, -1, 803069134, 612406764, 804996761, 214746778, 819415018, 822882376, 747387724, 805545663, 70238975, 378125475, 156300531, -1, -1, -1, -1, 960951904, 682926493, 287907740, 758552218, 508445063, 711320626, -1, 158910399, 516692088, -1, 450065256, 522018449, 138900689, 934243587, 765741110, 457738819, -1, 355793916, 85364422, 463046337, -1, -1, 664994731, 427248088, -1, 689471851, 729255501, 191385883, -1, 919070368, -1, 261993127, 235497118, 215389297, 164531658, 18315653, 486613399, 767315721, 807440259, 620598247, 610533412, -1, 356995225, -1, -1, 385420187, 94603037, 226689744, 532542645, -1, 611539651, -1, -1, 120743117, 853850331, 756753866, -1, 359800046, -1, 617415111, 749780594, 632772722, -1, 290177958, -1, -1, 193036337, 829284714, -1, -1, 299534509, 434908609, 389965960, 873476998, 184971069, 702590320, 567791504, 436921129, 953631288, -1, 386115315, 976022696, 703545350, 738447122, 777741898, 388333002, 732234281, 548706643, 88190954, -1, 426031841, -1, 262245454, -1, -1, -1, 192993028, 720104209, -1, -1, 591328387, -1, 422356787, 877873062, -1, -1, 331505463, 680036930, -1, 455686226, -1, 609916393, 718815813, 422206364, 103372345, -1, 369182820, 562835348, -1, 982933532, 867403094, 680163901, 932003275, 614278708, 933899981, 832208158, -1, -1, 721315096, 7631016, 148096294, 624648215, 49232771, 909234774, -1, 938738002, 802455025, -1, -1, 24610765, 129749564, 572141183, 381685133, 231654825, 151141353, 481827282, 605238206, 31005703, 810030292, 558675643, 412491623, 83346449, 929214815, 132747748, 340575009, 851799849, 873898519, -1, 975068174, 115588090, -1, -1, 499455856, -1, 753616695, -1, -1, 509647662, 822276709, 657378921, 104038427, -1, -1, -1, -1, 383680690, 600690144, 126454317, -1, 745824649, 702587081, 796960773, 804182401, 652989350, 681732285, 344598990, 375275483, 735099734, 987394877, -1, 540062427, -1, -1, 93166829, 330610571, 271018725, 397106971, 2360450, 872733862, 821438705, 575608233, 559927316, 595414680, 604292135, -1, 165444833, -1, -1, -1, 545705054, 683276534, -1, -1, 116009492, 836851589, 88004261, 375529956, 919705131, -1, 745155629, 314182847, -1, 153014851, -1, 385436677, -1, 296406673, -1, 963307845, 235393897, -1, 963313405, -1, 326640084, -1, -1, -1, 903041091, 679860418, 42365191, 368249014, 962873705, 205512735, 775644341, 91947109, 197524108, 126087317, 230542307, -1, -1, 404376750, -1, 724346498, -1, 719624347, 857425377, 146342994, -1, -1, 485783537, 480048841, -1, 481112796, -1, 679109838, 933439457, -1, -1, 328857026, 885793613, 990111031, 961634321, -1, 365880718, 164693722, 986968363, 85388172, 368507697, -1, -1, -1, 556558348, -1, -1, 567900592, 570552674, -1, 699902264, -1, -1, 940987833, 865268835, 71017487, 664967672, 753146889, 574006789, -1, 97801022, 757721233, 521698478, 160691951, 994049680, 980239605, 890124837, 121273457, 465417290, 628181219, 14891187, 697639963, -1, -1, 833531679, 274629548, -1, -1, -1, 600428456, 352205103, 258681344, 330201684, 574567963, -1, 517917917, 622886779, 842078241, 663416245, 802704052, 683842356, 278474445, 368877185, -1, 921247385, 943804545, 530030702, 253916256, 33218272, 743514946, 815294973, 51001971, -1, 612901626, 779083589, -1, -1, 124848205, 931789402, -1, 755700186, 923326417, 637147552, 447817879, 423576049, 117460991, 111869928, 894117413, -1, -1, 660097428, 663067476, 735917511, 375823634, -1, -1, -1, 107104612, 567047590, 502201402, 627208159, -1, -1, 764294924, 835902416, -1, -1, -1, 702884480, 80541221, 154527004, -1, 469458493, -1, -1, 541933226, 922778970, -1, 839172726, 204868977, 642971170, 930396716, -1, 740312203, 152730474, -1, -1, 320826990, 666224715, 372692802, 642410580, -1, -1, 499433588, 596149611, 922581488, 228947536, 377082869, -1, 777170979, -1, -1, 978221639, 67970910, 934816639, -1, 98624086, -1, 17712764, 79179149, -1, 384236230, -1, 689226735, 488693019, 408934998, -1, -1, 671997348, 383015236, 541429693, 449947209, 925545490, -1, 398977625, -1, -1, 175056439, -1, 851908178, 552765613, 367655105, 273546450, 291304955, 822387922, -1, -1, 683748146, 633361760, 722261424, 437003572, 685285743, 792012905, 123891106, -1, 603053642, 98921810, -1, -1, 593441763, 113882648, 746977807, -1, -1, 399400469, 756085948, 257079160, 332483458, -1, 752635146, 613424633, -1, 997587244, 724450393, -1, -1, 516021317, -1, -1, -1, 389716616, -1, 137094134, 826923535, 36226779, 401433908, -1, 266068591, 278614337, -1, 112973959, 213613320, 230142281, 107726243, -1, 509691698, -1, -1, 579371708, 216239691, 609501373, 383426731, 87728190, 516599688, 679250016, 236733503, -1, 617107772, -1, 516629025, 652227804, 85139378, 796884416, 610370920, 698281771, -1, -1, 25649604, -1, -1, -1, 23573183, -1, -1, 649421616, 12172169, 850759623, 678545565, 456660315, 225368664, 959587249, 57301259, 453722354, 469924249, 88080157, -1, 908422330, -1, 764616280, -1, 229081945, 519525544, 255676580, -1, -1, -1, 989625396, -1, 722262418, 798457790, -1, 868767496, 247319685, -1, 423998177, -1, 170545201, -1, 987461660, -1, -1, 702389112, 818416187, 292982915, 850751256, 456538814, 75680209, 14456064, 525225984, 767863142, 182256881, -1, 631951066, 995007589, 526272317, -1, 139846272, 215289721, -1, 436941082, 351814425, 403837387, -1, 4611842, 335486640, 815741538, 96563587, 244222329, -1, 338542529, -1, 655308617, -1, -1, -1, 158811673, 175184158, 436926705, 891798480, 644264489, 507819048, -1, 585243724, 681492249, 340139522, 707936842, 843405302, 563163843, 530172664, -1, -1, 318004795, -1, 932690291, -1, -1, 349347251, 496310380, 73392839, 63339094, -1, 182262014, -1, 984758767, 36281637, 118015312, -1, 909518631, 724848619, 322332710, -1, 71782835, 444771587, 580766193, 769592313, 937133117, 20455110, 645475435, -1, -1, 211264403, 80302969, 882620592, 63194736, 174684823, 271352545, 760015702, -1, 449213136, -1, 571190029, 856818408, -1, 593684625, 785261833, 580497566, 804321980, 695040492, 14307967, -1, 260576148, 714796779, 304227357, -1, 889069304, 337020940, -1, 729093619, -1, -1, -1, 511188815, 131217038, 755435468, -1, 122488851, -1, 397939188, -1, 243431580, 221234136, 859738828, 425188745, 216403574, -1, 687036298, -1, -1, 677525126, 676721411, 500603114, 244325932, -1, 633910917, 622035114, 82346628, -1, 458565329, 236471286, -1, 452981134, 334525291, 169793486, 754640003, 611849810, 310326129, 394435149, 939697149, 9209796, 784149180, 898127078, -1, 388170825, 336592126, -1, 333001192, -1, 832986195, -1, 438366364, 376702261, 311331694, 578270932, -1, 70600912, 862372124, 539140750, -1, 691524719, -1, -1, 356945839, 728563828, 247862355, -1, 671149526, -1, 311286541, 457175094, 32942865, -1, 67433680, 778740179, 659301702, 419490014, 932858174, 519622800, 846691523, -1, 216523202, -1, 585568582, 87857123, 631589510, 281068764, 803612832, 315661379, 49773439, 847860142, -1, 73124690, -1, 790558867, 631725811, 687677264, 556556564, 173332008, -1, -1, 199987796, 417085859, 850635590, 648669202, 656408821, 692864649, -1, 247276540, 257746487, 644716262, 830141713, -1, -1, -1, 623368673, -1, 354553940, 160513125, -1, 637007137, -1, 156649956, 496887874, 639642912, -1, -1, 782488335, 486539590, 863581867, 370381386, 327626224, 844242948, 821689264, -1, -1, -1, 947640876, -1, 362807267, -1, -1, -1, -1, 479280832, 277531158, -1, -1, 440864812, 342249545, 784635840, -1, 265518834, 641326216, -1, 619322411, 980823716, 371114397, -1, -1, -1, 954640454, 208238962, 944707260, 727199141, 177008518, 995751436, 834129243, 617908847, 829119235, 755088332, 538267896, 535669958, 467258313, 248739667, 491436122, -1, 154976960, -1, 640718283, -1, 689416857, 75350706, -1, 756763250, 997801361, 319551137, 3321611, 765300662, -1, -1, 181790213, 740432094, 734779875, 899954123, 476323289, 488023002, -1, 810969644, 403048693, 23280640, 2123247, -1, -1, 602948022, -1, 304519497, 410748221, 397174935, 620694852, 419809418, 15516302, 182202967, -1, -1, -1, 538591200, 509301000, 53606679, 412251426, 650730688, 533109931, 4557364, 521465583, 772368511, 994069845, -1, 448701861, 698674551, 388561474, -1, 409681645, 185924938, -1, -1, 589997262, -1, -1, 47708111, 545492897, -1, 877102537, 188313597, 230383922, -1, 975866270, 267193452, 643715244, -1, 663379545, 849213322, 677077376, 471848621, -1, -1, -1, 815386746, 633864734, -1, 789075448, 170106069, 894432766, 994710319, -1, -1, -1, -1, 279158480, -1, 265761422, -1, -1, 389171101, 230665149, 774359204, 172377741, -1, 197247780, 865265468, -1, 924117512, -1, 918038098, -1, 503321425, 734795291, 334973129, 92862853, 493763851, 619780291, 542648480, -1, 744882992, -1, 126517063, 443079986, -1, -1, 862167020, -1, -1, 841872689, 571511042, 31386343, 633079126, 97897057, -1, 473248794, 672106410, 859300486, 261517471, -1, -1, 877022677, 949758943, 55342262, 540984436, -1, -1, 872853550, 61680332, 826680254, -1, 90744804, -1, 842721554, -1, -1, 142687657, -1, 367446378, 744457518, 518051995, -1, 459875590, 436768005, 759520090, 26151045, -1, -1, 59566617, 446470769, 768415730, -1, 149697519, 746669386, 54401041, -1, 294840403, 247448210, -1, -1, 417674456, 25117021, 725956475, -1, -1, 322539694, 95091791, 216034318, 171018490, 80669238, 754017004, 941277055, 955799866, 167485946, 12457294, 868549173, -1, -1, -1, 294978349, -1, 858390017, -1, -1, -1, 367367169, 239906356, 520134782, -1, -1, 549600986, 197784261, -1, -1, -1, 808336190, -1, 930875847, 151264819, 225570574, 812502260, -1, -1, 18407657, 82029284, -1, -1, 606966895, 805247443, 250594806, -1, -1, -1, 892155845, -1, 728346152, -1, 581291048, 454943591, 468608111, 318092332, 977472883, 589031968, 442880948, 750197449, 528383355, -1, -1, -1, 314922303, -1, 833778307, 463423434, 15050087, 315528615, 862319791, 298537643, 988930883, 75841831, -1, 53362440, -1, 586353949, 345729942, -1, 884167318, 259713901, 140364123, -1, 917147273, 458918052, 248725607, -1, 814342725, 135446359, -1, 253356860, 618325108, 818133171, 655226184, -1, 962592249, -1, 601012146, 976775783, 263887998, 558185610, 450847078, -1, 537328935, 403861226, 330590626, 100079484, 314745926, -1, 152569195, 998053522, 951223921, 146177647, 77270062, 457668687, -1, 134766328, 564447631, -1, -1, 744638070, 736805853, -1, 618543335, 709110928, 154662562, 918362404, 636293173, 727300224, -1, 796158371, 729428342, -1, 931316997, 936081641, 914027856, 191909426, 993944531, 361012139, 451769326, 300163888, 97355528, -1, 134942487, -1, -1, 515324860, 47552150, 924677187, 214268954, 533680397, 281963101, -1, 46151821, 236702801, 890875958, 888037387, 947437250, 861743024, 68455748, -1, 605067233, 453933442, 462813259, 249314300, 913687486, 421424911, 635350557, 470055000, 851871256, 601759398, 623845542, 404285353, 122332224, 761263743, 996875454, -1, -1, 222480919, -1, 22946923, 881803577, 828878566, 663268953, 979086128, 554978023, 302146855, 261094996, 365384104, -1, 946835673, 825693305, -1, 805592917, 301419010, -1, 753335491, 873767945, 165378633, 952053912, 816042797, -1, 110751180, 460210831, 271597911, 983514445, 17141610, 395048052, 355443975, -1, 25308464, 248289353, 290020539, -1, 999565963, -1, 376892599, 291867807, 64756057, 214590784, 954192264, -1, 152034807, 97853940, -1, -1, 570687057, 416546744, 527572400, -1, 344667942, 282318634, -1, -1, 874145223, 49617081, 61594874, 109542174, 51494536, 872277721, 291123617, -1, -1, 908946944, -1, -1, -1, 392114614, 317718618, 773260812, 893413282, 647091526, 99104495, 316867587, 827223195, 994606212, -1, -1, 994410540, 57773336, 12763158, 834154972, -1, 748698058, 942785744, -1, 504655030, -1, -1, -1, 10964309, -1, 719534583, 40478971, -1, 481818957, -1, 951135298, 162675496, 727706665, -1, -1, -1, 453782939, 731747508, -1, 912481386, 538719684, 27934507, -1, 796946880, 737464921, -1, 773171919, 7407913, 570584055, 799351998, 106785605, 846682595, 60900065, 907073445, -1, 811595953, -1, -1, 587492015, 284816917, 439844513, 933108842, 577638867, 721297595, -1, 336444028, 455308092, 841279570, 710943609, 656905722, -1, 490690459, 430613636, -1, -1, 779829612, 270966345, 100020071, -1, 336929717, 596983196, 375386599, 522292984, -1, 444086111, 377864667, 235524776, -1, -1, 168328048, 984610459, 398667373, -1, 107492030, 485292629, 256817219, 773570702, -1, 700812865, 879394718, -1, 676467743, 882632545, 986168989, 731844987, 779501690, 890917803, 499065956, 861726449, -1, 910580433, 34308501, 520918541, -1, 173272545, 188493120, 561274351, 238350515, 216668918, -1, -1, 121742705, 55815951, 576695350, 511343662, 276801457, 83688849, 353396963, -1, 580759614, 345307959, 276127987, -1, 131360964, 240374728, -1, 242083848, 872317546, -1, -1, 346366498, 677851358, 885607441, 943334200, -1, -1, 4709635, 159780120, -1, 173482343, 10770236, 183246987, 345952509, 715339399, 330793761, 493068967, 892780438, 238875547, -1, -1, 22390759, 429821210, 523191128, 82902061, 373430303, 696933528, 525401908, -1, 546504104, 836620658, 55945968, -1, 908498053, -1, 463865980, 866844831, 261116426, 723214157, -1, 989878348, -1, 521007255, 638252533, 728609084, 343806703, 64617408, -1, -1, 585433275, 79433109, -1, 804492541, -1, 110720502, 531557255, -1, 292127542, 479866396, -1, 645239147, 108485683, 989742706, 549318114, 726947866, 345993689, 502051456, 130057562, 10661639, 829741632, 133518033, -1, 683453688, -1, -1, 970055437, 8086686, 207034423, 851706216, -1, 680752266, 305045842, -1, -1, -1, -1, 482818401, 385781463, -1, 535290333, -1, 482024668, 137347886, 568360995, -1, 956352778, 233064974, 404573948, 489022650, 835395686, 59773263, -1, 484635044, 306026046, 165430867, 671429013, 281730886, 444380675, -1, 968227637, 739975779, 172632925, 51777478, 970267355, -1, 426563970, -1, 429069824, 304978541, -1, -1, 311325523, 558927848, 323926723, -1, 930055869, 630499346, -1, 600095710, -1, 833923921, 383874847, -1, 900599797, 237959911, -1, -1, -1, 44801076, 237342686, 1350188, -1, 490595777, 619520682, 929447443, 442831874, -1, 728872538, -1, 412607908, 152076032, -1, 190667263, -1, -1, 739218676, 241598527, -1, 580700805, 692394792, 921695376, 437007672, 513835438, 65918010, 779905584, -1, 25603377, -1, 913092646, 787997272, 797201536, 65159138, 48399924, 385185388, 76428922, 587954399, 578606377, 566880797, 408292412, -1, 414926263, -1, 903375188, -1, 159160831, 615499718, 360066172, 775612384, 41870886, 290704712, 177012793, -1, 188656553, 195440318, -1, 237295743, 776247923, 303945329, 695597381, -1, 120521674, -1, 531079489, 608072419, -1, 276033173, 894322113, -1, 735530249, 498090838, 553325077, 846401860, 360466008, 373527491, -1, -1, -1, 281710434, -1, -1, -1, -1, 837836292, -1, 24322233, -1, 192099605, 571721246, -1, 500144586, 891027501, -1, 134395100, 164795552, 93950685, 561432941, -1, 280591968, -1, 685559181, 809980302, 105588259, -1, 788456966, 428754517, 14996032, 754676813, 787343872, 125096580, 31009677, 72469001, 34813022, 739961935, -1, 440046726, 33755911, -1, -1, 469814581, -1, 563050342, 879401630, 469227963, 681676985, 987801692, 658906901, -1, -1, 5235331, -1, -1, 996610262, 200247476, 416399015, 133681682, -1, 908870731, 916445047, 12712240, 34747994, 264391082, 358118030, 227020413, 574858693, 886237569, 806204144, 209202052, -1, -1, 333291503, 795229419, 168748860, 906178377, -1, -1, 866327286, 784478992, 270171886, 211927952, 57760478, -1, -1, 74852002, 75843723, 990796815, -1, -1, 619961128, 842597493, 868173922, 823464159, 900773547, 287684193, -1, 466532479, -1, 397303322, 662595440, 236173222, 369303530, 849738425, -1, 104517266, -1, -1, 919712993, -1, 720746007, 957761207, 436765090, -1, 161333027, 98489965, 591817499, 892453436, 68796369, 491603518, 453746006, 180319838, 532122374, 262738717, 765368084, 633384828, -1, -1, 637873053, 499459555, 535822388, 628411405, -1, 890973312, 567371096, -1, 592398302, 493270609, 66727043, 929392244, 272642138, -1, 971524266, 386297419, 608154789, 79707656, 194139854, 951807737, 114019009, -1, 89207355, 472321428, 493844263, -1, -1, 540258585, 548621679, 392133737, -1, -1, 454310317, 347848155, 627434947, 305353476, 472104587, -1, 54960121, 778360240, 445050214, -1, -1, 55149281, 779622464, 384014071, -1, 873236811, 119496169, 603999505, 183529843, 917250668, 232818996, -1, -1, 833187916, -1, 852390125, 217737017, 511375612, 286580802, 728472159, 436199132, -1, 493081652, 40012216, -1, 563011677, -1, 641936327, -1, 116228674, -1, -1, 98020172, -1, 580697479, 920684796, 424627527, -1, 743122785, 247855409, 467293552, 476009066, 717827301, -1, 146427345, 88570521, 241975948, 924872219, 440904127, -1, -1, 629678917, 334793606, -1, 604203633, 527638013, 66818814, 486295315, 236265819, 153958881, 441425476, -1, -1, 298322122, -1, 636419618, 703576893, -1, 577105480, 391925995, -1, 370351348, -1, 200393419, 514403385, 238543446, 262262679, 427708271, 191176407, -1, 869168399, 202131597, 756914271, -1, -1, 690590986, -1, 711927433, -1, 507958267, -1, 811591466, 744603502, -1, 36485222, 391626860, -1, 745870923, 445815478, 431609735, 870713544, -1, -1, -1, 788476853, 887754973, 129332546, 780628836, 745989909, 489339238, -1, 606045884, -1, -1, 778980239, 781275648, 865157419, -1, -1, -1, -1, 587535483, -1, 207563132, 550822524, -1, 143049905, -1, -1, 549967947, 243286365, -1, 831042796, 370039116, -1, -1, 611559059, 362379433, 154849029, 445916066, 720321422, 822230849, 300012632, 146997396, -1, 710611634, 524665313, 219060810, 670712597, 446167387, -1, 849007408, 414747601, -1, 306683161, 554951691, 150012265, -1, -1, 793592464, 204511275, 739424666, 365900259, 459846496, -1, 856858298, 741206154, 104071288, 922478127, -1, 194345033, 314942324, 367273208, 67188936, -1, -1, -1, 385153740, 68166714, 638118492, 500446367, 239719820, 693137134, -1, -1, 247306227, 328738109, 679201685, 383869947, 29452596, 784407167, -1, 611956287, 87452930, 500375435, 305666199, 985164580, 706913336, 434628864, 741349419, 987358187, 964083483, 608637097, 925436197, 114045125, -1, 272500225, 363796325, 795768303, -1, -1, 768823390, 170629410, 364328497, 336047026, -1, 62565866, -1, -1, -1, 339697736, 17317500, 48884160, 196497485, 145630534, -1, 767601234, 756008615, 212419063, 92811389, 152885985, 376617516, 890575156, -1, -1, 609525317, 52560071, 228062657, -1, 772975850, 629934198, 555389267, 187372084, -1, -1, 702055649, 267564416, -1, 163233622, -1, -1, -1, 116578336, 127554182, -1, 550509270, 534940211, 644155288, 877259843, 459496563, 451219243, 652978237, 483476981, 974508446, 275611273, 762283288, 42528791, 768692438, -1, 783190216, 665503866, -1, 280174510, 128364134, 65244677, 143580549, 994334380, -1, -1, -1, -1, 293005813, 148411318, 563741811, 565544475, 191172092, 492470155, 965560289, 937309929, 294967589, 659209260, 383712692, 155173700, -1, 873193417, 688673413, 468818591, -1, -1, 41218657, -1, 101916503, 709881511, 980351356, 840858804, 393775162, 656572002, 27924567, 93278492, 282919086, 652976318, 512210919, 350742650, 754208232, 743764913, 749741804, 587447148, 736942834, 914162360, -1, -1, 925980838, -1, 823529826, 748693321, 585667324, -1, -1, 439136195, 478664095, 747835139, 966206388, 953622401, -1, 892129344, 242272991, -1, 399511807, 894026287, 473893862, 448479303, -1, 474741829, 872022335, 166169600, 444499003, -1, -1, 686960303, 693599782, -1, 385531194, 966730062, -1, 460958745, -1, 446982973, 860091995, 190985290, 570142436, 546668609, 708739025, 866417783, 827821131, 830508031, -1, 521438292, 638419852, 479011547, 301480053, 375573519, 184994067, 931167599, 758391447, -1, 698916446, 506291093, -1, 195045977, 577058533, 590525707, -1, 94630658, 398906062, -1, 558311681, 430521199, 663012322, 807660761, -1, 113844587, -1, 701755550, -1, 755928601, 627010784, 744145381, 413732568, 495795685, -1, 365878107, -1, -1, 86631895, 141775798, 162947928, -1, 792884665, 886035759, 825218756, -1, 73356971, 344202016, 815782824, 486764657, 376888412, 82165639, -1, 494778596, -1, 241331344, 248738563, 928207762, -1, 785283143, -1, -1, -1, -1, 707738243, -1, 803381220, 497293336, 431127722, 790983461, -1, 518366723, 392661875, 432985778, 998796955, 876612304, -1, -1, -1, -1, 237907407, 934379286, 917655008, -1, -1, 827152874, -1, -1, 774144121, 31212169, 776267430, 397303871, 738031421, 980072428, 42663661, -1, 798081393, 435750208, 78504722, -1, -1, 914541587, -1, -1, 681998292, 228162811, 905207599, 740788600, -1, -1, -1, 121730455, 162229669, 761292244, 917668007, 296782343, -1, 565181561, 37382785, 782561415, 130596174, -1, 777028748, 8785570, 720108195, -1, 432265848, 733183355, 894247601, -1, 211495045, 937034514, 163158836, 728013068, 332697411, 82447, 240834770, 268079277, 534687560, 408244723, 866564544, 8139356, 262293587, 139418881, -1, 512213758, -1, -1, -1, 225962474, 874216235, -1, 303442330, 155192644, 41468702, 814527770, 632725297, -1, 803509487, -1, 925290454, -1, 155742361, -1, -1, -1, 396704414, 247406025, -1, 230644228, 192320217, 115677433, 591066582, 746845073, 748800360, 36017300, -1, 785378009, 425275210, 225233942, -1, 352620495, 384112707, 369802636, 159961509, 401920880, -1, 457623007, 672120991, 228165794, 825268664, 760356405, 390297257, 728070939, 511183257, 127394292, -1, 130316919, -1, -1, 946597850, 65618913, 798078790, 69285198, 10970648, 303137437, 786494628, 319957539, 352049252, 508039109, 521780007, 618934746, -1, 457287408, -1, 489974759, -1, 603905543, 47959403, -1, 257314475, 452623731, -1, -1, 823034670, 589750323, -1, 511779811, 482040686, 269258712, 10575276, 246882169, 276983272, 667762088, -1, -1, 408308377, -1, -1, 717274666, 429101566, 901308288, 703502594, -1, -1, -1, -1, 958679698, 120720218, -1, 966752811, 809927210, 536286756, 38422702, -1, 362705886, 207241730, -1, 851506202, -1, 965110334, -1, 944401968, -1, 932452726, 276710776, 598874095, 334987721, -1, -1, -1, 637706392, 765065019, -1, 53153520, 377229185, 275634994, 234525115, 656203072, -1, 68585644, 942780968, -1, 514694963, 434887713, 812438988, 502628648, 586158564, -1, -1, 465808217, 809581364, 991691439, 700307708, 940777234, -1, 374831129, 916052624, -1, 132000105, 807697917, 378554782, 199428318, 423263039, 632329134, 646876804, -1, -1, 445471267, 885767253, 245081460, 460131471, 735849950, 920280068, 845526217, 841276386, 40466814, -1, -1, 194985726, -1, -1, -1, 834706626, 275511319, 613103715, 926822683, 747169488, 174614916, 298222886, 115275372, 289067587, -1, 150308347, 940100263, 31569784, 566656317, -1, 706219759, 760125171, 735556105, 67749933, 409214671, 159127094, 431466543, -1, 943973752, 801299923, 849953061, -1, 520028869, 512482471, 41481673, 813955490, 933644291, 363443462, 342391891, 480071434, 379403471, -1, 638313773, -1, 67047557, 493595707, 356979498, -1, -1, -1, 335087613, -1, -1, 312184081, -1, 39455067, 870993914, 538605807, 84216299, 382227176, 134889750, -1, 332204001, 42220433, -1, -1, 704256216, -1, 989455869, 797940065, 196728344, 6945564, 304023142, 252856617, -1, 271115712, 216251305, 854233123, -1, -1, 627056244, 789940329, -1, 825259613, 167083771, 96152510, 551537678, 209120532, 639616364, -1, -1, -1, 276719849, 762847784, 824485143, 177280096, 228229841, 861047536, 457474341, 198467943, 785112480, -1, -1, 529658818, -1, -1, 388612654, 713089794, 646978643, -1, -1, -1, 771560940, 444202755, -1, -1, 592869008, 842308406, 76408191, 173550653, -1, 437069612, -1, -1, 337107281, 90341189, 616609700, 159436405, 79795046, 766681283, -1, 38380725, -1, 253922628, 178636022, 380296531, 585253753, 613565664, -1, 488585291, 403094607, 745716247, 431492324, 708173264, 796298761, 510093918, 333514053, 724256010, 127376607, 644751686, 887789138, -1, -1, -1, 937789424, -1, -1, -1, 653021222, -1, 663834707, 575414336, 680939771, 583327103, -1, 22972268, 99390153, 728281234, -1, -1, -1, 757660447, 832521939, 224109195, 624313085, 569661506, 756252828, 721943697, -1, 80274144, -1, 3776995, 50148443, 636070055, -1, 754031842, -1, 406299026, 415327059, 219267400, 619506455, 903859876, 534354403, 288519820, 877522701, -1, 139492287, 202782703, 870165120, 564350716, 794329718, 300307744, 170460282, 613550521, -1, -1, -1, 849946416, -1, -1, 590974270, 399268523, 807635184, 831952009, 995169826, 834070911, -1, 456483842, 185054201, 200488153, 641751675, 895668878, 378519940, 432209226, -1, 215226809, 738931766, 235189928, -1, 610350592, 126385806, 681052963, 691490252, 579626699, 734152779, 843173366, 434935838, 796627125, 300259182, 386147546, -1, -1, 144996818, 279006585, -1, 939341795, 206856595, 792398498, -1, 244394154, 524236973, 848940031, 433269087, 865020865, 864279505, 369433793, -1, 100413412, -1, -1, 339040289, 849340903, 907757636, -1, 538733478, 343267242, 121616523, 660945633, -1, 462710990, 823883368, 270993721, 117282739, -1, -1, 701651167, -1, 926210195, 165362454, 765656849, 493753421, 423604551, 36504985, 514278043, -1, -1, 869942142, -1, 244981825, -1, -1, -1, 48228342, -1, 29699153, 762797750, 306369347, -1, -1, 405931655, 83124993, 191788060, 682859958, 207597867, 857945277, 855430656, 218184718, -1, 306698558, -1, 699965779, 927173007, 432264533, 373504534, -1, 167760645, 213639141, 761695559, -1, 608462829, 135911176, 193766573, 625796384, -1, 602484564, 190709394, 661472191, 240060240, -1, -1, -1, -1, 947015008, 369859701, -1, 534064841, -1, 97341751, -1, 860100643, 144644282, 557882747, 939599863, 540886329, 60111316, 696380871, 757030594, -1, 261410203, -1, 998795261, 408932031, -1, 545217103, -1, 283606676, 6815740, 143970772, 226367507, -1, -1, -1, -1, -1, -1, 334648564, 93126893, 865340533, 735405168, 888795545, 101988245, 412081571, -1, 570162490, 997656292, 630988098, 783472810, 214658568, 371889591, 60697790, -1, 235088070, 297130165, 503681245, 572446153, -1, 873153274, -1, 998242384, -1, -1, -1, 54068490, 649517174, 320947753, -1, -1, 116269863, 145612566, 475431766, 997078755, 691080490, 350880409, 236367267, -1, 144520701, 295911206, 736787952, -1, 669379580, 652822949, 692254288, 280637546, 647576478, 221534078, -1, -1, 998982143, -1, 271034622, 563804075, 921056242, 555502215, -1, 845337790, -1, 867810413, 831666291, -1, 601557902, 662165092, 46704287, -1, 116543586, 970872748, 517622583, -1, -1, 782656541, 866692625, 261052475, 69732933, -1, 569728901, 160950799, 458043733, 647852179, -1, 89475258, 736245808, -1, 227430525, 378406127, 49548298, 638444882, -1, 921367164, 548550238, -1, -1, 58590671, 66602958, 770097683, 393287794, 679919399, -1, -1, 379821661, 688726186, 484673867, 85677975, -1, -1, 800588506, 508290118, 889359028, -1, -1, 193210148, 638258145, -1, -1, -1, -1, 985617948, -1, 695879868, -1, 869023314, 320912674, 94383639, 56566418, 418628728, -1, 963982788, 791710352, 925089746, 579038837, 7220686, 456947044, 735962800, 760435377, 21640688, 131301211, 220775763, 660025932, -1, -1, 197609079, -1, -1, 745123201, -1, 324677214, 826411172, 633111808, 349994436, 66665460, 115527942, 458480181, 742037568, 14717909, 9709826, 584226831, -1, 202940689, -1, 817438042, 647712465, -1, 833025250, -1, -1, 188711580, 571562288, -1, -1, 412767139, 709850763, 380896721, -1, 611131725, 384968827, -1, 643969147, 132734681, 763081930, 177070730, 989893363, 477988544, 711195338, -1, 550519133, 168280065, -1, -1, -1, 974701887, -1, 708465570, 846416521, -1, 312966616, -1, -1, 765148495, -1, -1, -1, -1, -1, 56309545, -1, 221658390, -1, -1, 891477724, 311035390, -1, 41872625, 551706421, 762757884, -1, 818365160, 145619742, 928610486, 279298344, 488447918, -1, -1, -1, 688773795, 437390820, -1, 358738196, 366313907, -1, -1, 472716101, 799665859, 615430339, 948871883, -1, -1, -1, 501674461, -1, -1, 92896681, -1, -1, 481722798, 483087166, 941449410, -1, 199560522, 685304146, 169201739, 505774186, 733405119, -1, 17174157, -1, 216729694, -1, -1, 240534254, -1, 849767467, -1, -1, 671139920, -1, 44618422, 160749082, 287087351, 469975346, 542089074, -1, -1, 744442101, -1, 712142611, -1, 491337600, 229189248, -1, 564771998, 919770568, 100501730, -1, 444278216, 490756432, 905321787, 531860649, -1, -1, -1, 119376345, -1, -1, 708555744, -1, -1, 124916554, 588340040, 981898609, 170892092, 385145148, -1, -1, 671510894, 972865848, 296303278, 824905238, 416852218, -1, 353376693, 810171326, 717836980, -1, -1, -1, -1, -1, 540441927, -1, 980044108, -1, 934274104, 748217788, -1, -1, 803638217, -1, -1, -1, -1, -1, 473899852, 600387776, 116823314, 306022404, 447788306, 138335106, -1, 267106366, 789172613, 376737098, -1, 163225554, 49988814, 93476972, 484556591, 705183550, 408558886, 935714633, -1, -1, 559612261, 827543033, 733953001, 156304584, 373910335, 422270341, 979791620, 579221408, -1, 699345523, 327315999, 685470750, 702105904, -1, 246289999, -1, 110356668, 714822113, 223513832, -1, -1, 279328266, 749320707, 375025252, 601050769, 257190434, 493430364, 261158126, 582355221, 574520383, -1, 616765484, 871516983, 543691410, 421490769, 33156207, 599197498, -1, 730409020, 429258783, 84076024, 404136958, 956317388, 160243222, -1, 302384310, 236053378, 494939356, 115960419, 182135078, 273754599, -1, 714515745, 203117314, 988791938, 180661128, 68817818, 839612421, 753166633, -1, 342628254, -1, -1, 808741131, -1, 127560706, -1, -1, 69043285, -1, 814004207, 4600833, 936601231, -1, -1, -1, -1, 877409309, -1, 881293774, -1, 472436501, 930162925, 563712938, 825920370, 151713117, -1, 3768183, -1, 677176061, 965066418, -1, -1, 913025906, 55059246, 291622212, -1, -1, 362823583, 86756885, -1, 80541953, -1, 823750137, -1, 826344793, -1, 971996185, 845044863, 741774482, 864956370, 666217321, -1, 845470226, 807831421, 742042328, -1, 405318025, 798255004, 464815528, 572744520, 726076994, -1, 2203921, 653389486, 751253918, -1, -1, 836777418, 241777034, 588009077, 93456824, -1, -1, 738176975, -1, 404228564, 81704687, -1, 238077069, 454723932, 242663277, 856190999, -1, 466795459, 36997174, 795821171, 899688283, 11546266, 850557541, 315577809, 70969731, 759985042, 800580763, 307017764, 573912350, 755528897, 555760264, 996268985, 436805697, 213532108, 395181152, 649525838, 309430306, 734831408, 514948046, 13933074, 774444537, 956951069, -1, 23981680, -1, 573479650, 822837059, -1, 936992509, 647190882, 97051627, 865619685, 636183747, 473074341, 756038973, 678371051, 518992058, 601195636, -1, -1, 796960242, -1, 580238245, 211274927, 833371384, 155655453, 476578331, -1, 73194066, 753073760, 518429102, 669335094, -1, 484528106, 426691845, 146377316, 133944524, -1, 845106290, 363755358, 252420621, 59815321, 782115074, 754284510, 588078530, 729677883, 210694107, 681091602, 88059513, 328704106, 101666027, 541896509, 743967649, -1, -1, 932914200, -1, -1, 487002082, 672209985, 240509622, 214516536, 329106748, 872749613, 534266002, 786933802, 302641095, 137537358, 455643553, 629453718, 322213649, 335617890, 992719751, -1, 821689535, -1, 460500360, 103308804, 777555591, 147533283, -1, 847229912, 91268790, 168516063, -1, -1, 924021786, 94220262, 173243774, 837728099, 392386583, -1, 309425047, -1, 589960261, 971046170, -1, 317240853, -1, -1, 451136045, 164297880, 645131680, -1, 688546688, 182280214, 57962915, 293103429, 818145564, 552396553, -1, 299404019, 317606585, -1, 853657566, -1, 37973471, 518621243, -1, -1, 937901513, 356132883, 754650350, 747061789, 513384414, -1, 381451157, 725993666, 520326341, 146588513, 12739603, 498576216, 436793765, 731093045, 201677531, 524314425, 941557313, 223665906, 822742336, 799630229, 576179751, -1, -1, 976815017, 920530630, -1, 141920336, 815562973, 243399023, 439622406, 403950113, 709099879, -1, -1, -1, -1, 617724714, -1, 806363612, -1, 608684068, -1, 282617448, 412124108, -1, 466772064, 923674018, 109239731, -1, 773994690, 343975544, 267620859, 654935946, 557959339, 898448332, 778299985, -1, 714973970, 621455803, -1, 891978762, 24244800, -1, 677696023, 917455067, 76432141, -1, -1, 551747731, -1, -1, 988932998, 78400394, -1, -1, -1, 987503683, 588860292, 220007021, 442376238, -1, -1, 201039072, 598520134, 222651820, -1, 894802320, 968750063, 363912386, 368546439, -1, 951079046, 95940508, 739345519, 768432361, 661957089, 683809779, 118941906, 59646321, 309865440, 659023493, 171700102, 812033347, 14537954, 32931626, -1, 593854480, -1, 466754490, 885236331, -1, 442408879, 934728426, -1, -1, 195216323, 76335315, 12554361, 841735801, -1, 486092923, 657932140, -1, -1, -1, -1, 112710049, 395976297, -1, -1, 939372254, 355489326, 17999204, 902593483, 447213079, 723756659, 841357057, 383518107, 51069779, 864301877, 19296799, 387650065, -1, -1, 232199950, 696137887, 387159099, 557886455, 558175365, 453341421, -1, 613256718, 48916209, -1, 542950726, 322251571, -1, -1, 494595693, 790708445, 251113653, 600149292, 675771249, -1, 451051777, 576597102, 241946525, 137286027, 744163871, 25097366, 944103552, 756853837, 441958741, 495606599, -1, 820942990, -1, -1, 611373271, 104723693, -1, -1, -1, 280572759, 996953236, -1, 16790701, 637609161, 426372439, 599544336, -1, 568717411, 477579483, 713816688, 97764111, 559976667, 868676735, 446091973, 269528044, 95602577, 195714326, 80760500, 258879599, -1, 401047965, -1, -1, 591069874, 643174303, 484296474, 532796462, 578693958, -1, -1, 607540560, -1, 967590767, 928550206, -1, 442963629, -1, -1, -1, 432828404, 117403742, -1, -1, -1, 526644319, -1, 276050768, -1, 177342285, 584958628, -1, 225610127, -1, 280675384, -1, 526326342, 368609974, 20571532, 237529427, 516441417, 232990198, 472394474, -1, 736241949, -1, -1, 420705835, 576422245, 906370519, 830971975, 794533295, 916714987, -1, 11789418, 478986519, 761598002, 556247750, 463451300, 550194171, 76433929, 400802884, 127075995, -1, 620822954, 74404707, -1, -1, 649042947, 380725177, -1, 185329365, 141865088, 366274670, 448597552, 217062032, 852051312, 191713522, 745902793, 611339196, 977204220, -1, -1, 818664235, 313708431, 819321076, 202656402, -1, -1, 707589966, -1, 102345053, -1, -1, 743035174, -1, 833832976, 947581473, 585633773, -1, 861874396, 969562686, 493778318, -1, 835418692, -1, 20489963, 693915184, 465979007, -1, 486332522, 479091690, -1, 28601319, 446854120, 619066509, -1, -1, 328783820, 65884710, -1, 910973530, 8985090, 462273784, -1, 235104691, 623534378, 509049486, 243698256, 592579091, -1, 162903809, -1, -1, 737650052, -1, 507390177, 228285538, -1, 40949679, -1, 743343490, 357658484, 742023256, 925922665, 531536789, 46701116, 759687064, 695453435, 75486521, 472603436, 289318036, -1, 323116614, 946035704, 775417087, -1, -1, 482983189, 747988784, 760593307, 554636167, 209298646, 244893829, -1, 765651376, -1, 448702164, 853304795, 193591080, -1, 522533187, -1, -1, 825658196, 942134017, 946473536, -1, 116781071, 25699618, 995618588, 329753919, 830246345, 187263993, 528107439, 347059155, 362486460, -1, 346476754, 932727565, 631081170, 635085292, 901433093, 767004887, 436401927, 935374666, 918427231, -1, 994821106, 769848550, -1, -1, 873610335, -1, 182495642, 624071830, -1, 491978190, 90146978, 574454000, 929863009, 138233896, 872170673, 663688933, 913656291, 77556305, 957131620, 726473110, -1, 575216734, 285522896, 719830892, 887768399, 958325352, 447791958, 95634426, 757273657, 555190381, -1, 480483961, -1, 89019224, 43945650, 28548208, 255635483, 49551986, 421727616, 604984486, 109429085, 70198389, 69241975, 497639078, 688721084, 754814740, 575490694, -1, 325676881, 995367164, -1, -1, 878128291, 612603542, 276720154, -1, 928847212, 555133316, -1, 748157828, 662706994, 865972216, 116607796, 810322997, 870647575, 137919118, 246124908, 561500203, 410389517, 154213076, -1, 911056100, 876187362, 991245585, 251600409, -1, -1, 309064164, 343219471, 215428387, -1, 6967192, 111123288, 770185150, -1, -1, 640121741, 206497895, 865622971, -1, -1, 333701006, -1, 513710392, -1, 149393164, 75662124, 6088179, 373728546, -1, -1, -1, -1, 990247160, 864396402, 923055579, 344210193, 556881499, 619098728, 729226112, -1, -1, 779775141, -1, 964966923, -1, 233593128, -1, 184658617, -1, 553827012, -1, 345862351, -1, 86452491, 675012810, 899192419, -1, 111352730, 468057359, 497924771, 675983537, 298507150, 713270250, 892555689, 143615715, 282044606, 108477267, -1, 136633120, 768884213, 816426343, 119225883, 809935502, 383593327, -1, 241016567, -1, 203952041, 78323929, 647683748, -1, 590858854, -1, -1, -1, 76826346, 875966210, 887107080, 639820029, -1, 852940380, 822225281, 66399855, -1, 987177063, 45051619, 630312185, -1, 946003788, -1, 439898094, 88787139, 375277416, 810108881, 676463494, 43906293, 708423085, 275598114, -1, 565534191, -1, 668702940, 16625508, -1, 99177122, 912024990, -1, -1, 228921448, 525564855, -1, 725662071, 116108440, 139850220, 392140659, 398809427, -1, 77587949, 404519240, -1, 479672630, 861107761, 49604331, -1, -1, 81648046, 655273680, 521690521, 849889736, 282673640, 101983545, 556692219, -1, -1, 144795227, 6902498, -1, 421731543, 170341723, 387797642, 892315876, 390698419, 841031035, 140731821, -1, -1, 969155056, -1, -1, -1, -1, 313499010, 65091140, 352828075, 678281919, 558442615, -1, -1, -1, 360962580, -1, 468786446, -1, -1, 196270080, 542168650, 282632328, -1, 161428746, 817126446, 418631583, 693353193, 988089819, -1, 359347970, -1, 181036969, -1, 409080378, 704545833, 875123765, 276945940, -1, 326239946, 890816583, 829987796, 322190296, 150244518, -1, 91565598, 716776342, -1, 2882583, -1, -1, -1, -1, 504444277, 861138930, 425969182, 509016441, 300794658, -1, 831408061, 614238457, 694792506, 135647384, 80492488, 98962718, -1, 941600615, 839908430, 703990219, 777285005, -1, 885705339, 280244664, 46569505, 58866638, 785597806, 599867191, 589767695, 141550193, 364084167, -1, 488592875, 841328724, 640999075, 802998097, 815483666, 171718158, -1, 404026306, 316487512, -1, -1, 430525073, 732558777, 625844737, 732077318, 757728751, -1, 343210008, 222050848, -1, -1, 822021960, 573359830, 341280587, -1, 911075124, 665640918, 392864997, 971250432, 167813507, -1, -1, 43067466, -1, 944433087, -1, 940798142, 368406809, 568222184, -1, 705613456, -1, -1, 424968503, 698559311, 842657188, 746556863, 429157718, 416093742, 803710764, 57576120, 879955541, -1, 860658326, 926192918, 367415807, 523953708, 722832976, 142671423, 627826959, 32283995, 942284607, 32490276, 749395729, 511090537, -1, 197878989, 823255008, 413459745, -1, -1, 351535027, -1, -1, 909377329, -1, -1, -1, 419259478, 449836463, 131550205, 614690196, 855623283, 175059886, -1, 719393414, -1, -1, 748092393, -1, 808226335, -1, 724351129, -1, 660929795, 522605417, 683480663, 165834072, 808271059, 676552877, 199313038, 991816472, -1, 776217466, 569236190, 205023096, 798832621, 579187146, 646465159, 176958313, 677572694, 475953554, 673135076, 968598925, 780333287, 423723364, 261486891, -1, 385012529, 858117933, 468136258, 158201101, -1, 942482778, 79718956, -1, 520729396, 448059479, 724491298, -1, 73960255, 867548337, 274264005, 386328277, 416758030, 169591985, -1, 997016466, -1, 719048240, 95274138, 496353031, -1, 371226684, 284989962, 848046446, -1, -1, 701491271, 951685690, 180516614, 785959041, 610153171, 960457643, -1, 287506238, 287157877, -1, 557718289, 671206193, 746896759, 127009402, 314680869, -1, 246950313, 120803131, 365055328, -1, 76883162, 390725797, -1, 157259488, 698148445, 875417247, 424588688, 239944579, -1, -1, 708020169, -1, 243832704, -1, 341030907, 589696691, 699319767, -1, -1, -1, 825263648, 118713722, 704250023, 306640597, 234164359, -1, 462481964, 214337877, 639171814, 824691828, 583835024, 622796502, 548668077, 400447172, 403311047, 940625190, -1, -1, -1, 136307919, -1, 151774686, 719917170, -1, 301685540, 853767249, 932264865, -1, 557325550, -1, 14726915, 896668024, -1, 46729121, 849935810, 61835270, -1, 538933733, 416571426, -1, 206058750, 52384218, 868310728, 864650059, 983394588, 328534250, 572845248, 150067093, 28198494, 684738695, 187432652, 852801674, -1, 497016702, 913481621, 214162215, -1, -1, 924573664, 94988594, -1, 119252846, 376394301, -1, -1, 204456898, 395583045, -1, -1, 524823355, -1, 83353355, 692993265, -1, 329184757, 482362193, 260062143, 212754296, -1, -1, 297715316, 492987689, 345066118, 464804435, -1, -1, 895041284, -1, -1, -1, 338731572, -1, -1, -1, 78896876, 531138823, 756070779, 619836795, -1, 24884933, 378413256, 996784218, -1, 214185569, 455633356, -1, -1, -1, 144547857, 47229076, -1, 638230814, -1, -1, -1, 466396402, -1, -1, 429324992, -1, -1, 706144513, -1, 371197276, -1, 485703782, -1, 487277927, 192685791, -1, -1, -1, 37606051, 7647074, 405481517, 271399297, 538164713, 436295735, 393563899, -1, 775367742, -1, 88456608, 158913591, 909013492, 28203991, -1, 711364064, 284073562, 941201164, -1, 441705914, -1, 704882955, 485518210, 475281013, 968295506, 185395857, 203576887, 278839136, 163554945, 450821324, 808555615, 222293490, 44559946, 181425940, -1, 144554100, 999433651, -1, 913480733, 147679744, 966716201, -1, 901586446, -1, -1, 53780499, 268944042, -1, 269169016, -1, 152117252, 472558181, 74854129, 390008862, 322522684, 578849450, 97378834, 186796995, 19556240, 863470654, 307378544, 361659168, -1, 117343765, 585761812, -1, 979329328, 364323903, 670618507, -1, -1, 213969532, 717226981, -1, 503669913, -1, 993344630, -1, 405343337, 196822940, 974075540, -1, -1, 720357730, 442384218, 114000753, 300909920, -1, 512413651, -1, -1, -1, -1, 106811916, -1, -1, 70009280, 70543555, -1, 566013734, 721931668, -1, 869951800, 678741000, 957949542, 195338198, 946211975, 985959515, -1, -1, 296191376, 273431931, -1, 102858506, -1, 10280196, -1, 581758578, 95278462, -1, 571007300, 986953304, 109362819, 988307755, 333748398, -1, -1, 154471162, 452605412, 889852721, -1, 169116732, 519343924, 59423063, 539668505, 956131456, 548245297, 428397352, 166008597, -1, 90083066, 246907835, 299895833, 159716116, 449030433, 737890718, -1, 517782490, 377921373, 639974571, 48639180, 934658476, 597610861, 277408701, 42600188, -1, 139778180, 850355824, -1, 711132790, 436848835, -1, 349057789, 909399903, -1, -1, 865897371, 256021748, 267277841, 183086542, 944868151, -1, -1, 675365276, -1, 659305743, 472423435, 614683377, -1, 49202041, 919942469, -1, -1, 395122232, -1, -1, 674796311, -1, 464993558, 131638153, -1, -1, 479309135, 724991678, -1, 712179604, 125189597, 955985403, 463396771, 476166574, -1, -1, 368276686, 621672479, 243815817, 410350847, -1, 963975867, -1, -1, 982182813, 899777803, -1, -1, 20317486, -1, 35458099, 267441564, 638371497, -1, 372007008, -1, 213766149, 178544884, 435672151, 953520841, 737537876, 694931180, 383305537, 13275828, -1, 140559960, -1, 982181439, 429467897, 717936906, 335507635, -1, 350947110, -1, 411112436, 587451321, 794242978, -1, -1, 158426797, -1, 265926699, 325740586, 825501008, -1, 530309204, 609410251, -1, 428117666, 206915352, -1, 256959361, 3111454, 595906313, 996081060, 614946847, -1, -1, 74230531, 582701903, -1, -1, 412525580, 515416544, 287010735, 183373501, 443023544, 807865024, 60854371, 181321331, 690614145, 27268908, 861771537, 607374276, 299661911, 990069117, -1, -1, 219185896, 459132843, 373810727, 87550171, 811592520, 920296778, 748567445, -1, 127463360, 416340823, 545347486, -1, -1, 716512470, 289124176, 34296567, 271837198, -1, -1, -1, 549140728, 196258140, 885208850, 144026506, 653992233, 541085906, 224645392, -1, 876481973, 70621799, 232259629, 146890687, 8620482, 240107040, -1, 439688379, 454122279, 22468772, -1, 972964073, 672115537, -1, -1, 388194593, -1, 169648688, 68515200, -1, -1, 899916279, 100425591, 78673535, 889869499, -1, 605612787, -1, 605737977, 639087588, 576747858, 857166750, 860777540, 586801779, 12679980, 893800054, -1, -1, 112678737, -1, 742101456, 798992653, -1, 719987325, 818933973, -1, -1, 689506680, 746630098, 671900751, 994757353, 758647241, 464550309, 300408312, 964723712, -1, 297299896, 258948760, 436168436, 818988333, -1, 487429170, -1, 885139678, 608977920, -1, 42775189, 999447343, -1, 350774982, 944868740, 538541669, 764414145, -1, 258703370, 767734564, 122761803, -1, -1, 845840855, 989713585, 513562234, 659825409, 135289244, -1, 220052834, 516431992, -1, -1, 820388019, 647537648, -1, -1, 438827997, 80438261, -1, -1, 228303740, 257392779, 525123161, 970637778, -1, 588345081, -1, 906570688, 84744281, 515456801, -1, 775102930, -1, -1, 192159162, 293141908, 136582197, 746116945, 9327347, -1, 4716562, 210828891, 475509111, -1, -1, 910846236, -1, 140264826, 693606342, 714755023, -1, 591204824, 940750233, -1, -1, -1, 285014528, 847565968, -1, 765575294, 919767584, 452755745, 244974596, 440835990, 387232569, -1, 921015449, 523710968, 18841607, 338924222, 369213793, -1, 969271133, -1, -1, -1, 510823121, 29903160, 50672171, -1, -1, 664852515, 103373426, -1, -1, 866216239, 306011624, 74011862, 165043953, -1, 636143842, 363143270, -1, 766770226, 724670969, -1, 465947084, -1, -1, 352384766, 561286876, 343000348, 78811062, -1, 143302285, -1, 583563885, 58748512, 444324948, 538511034, 522682389, -1, 163222093, 80169079, 574550048, 665316333, 374712730, 405133608, 952619824, 286607927, -1, 853428694, 976424416, -1, -1, -1, -1, 430056181, 27625930, 777172382, 682709068, 738191956, 618714541, 420101043, 971486273, 791976863, 914178057, 66260413, -1, 26294886, 303337495, -1, -1, 657110112, 795463290, 193751658, -1, 863622475, 988873728, -1, 680608320, 415705485, 498111575, 640148679, 101917309, -1, -1, -1, -1, 708386884, 671346469, 185965932, 288711825, 383838167, 850884585, 871528532, -1, 602196127, 545431637, 155650672, 323653315, 426314652, 412316897, -1, 602853820, 45053735, 616669500, 543684075, 777740330, 672118951, 585988998, -1, -1, 531763396, 519563018, 524335666, 326081222, 962528855, 58861895, -1, 650115967, -1, -1, 837104568, 905315377, 33354359, 209448003, 462868051, -1, -1, 153585566, -1, 622323217, 251540100, 301938563, 859244686, 185871874, 52821249, -1, 622769786, -1, 914332844, 581982067, 659212596, 341559655, 368713115, 836635749, 367237892, 237912233, 240477609, 93839185, 902152531, -1, -1, 378118858, 137054004, 806741458, 609677104, 748905826, 903059661, 179323279, -1, 375067027, 695157846, 529077195, -1, 940768753, -1, -1, -1, 194724435, 73058353, -1, 874838612, 277842638, -1, 592235592, 358594485, 840956613, 651298204, -1, 619337894, 72742814, 848158058, 823806353, 903018068, -1, 383252663, 591274372, 497461481, 443882893, 347166294, 970095746, -1, -1, 295678841, 607129972, -1, 743673428, 907526502, -1, 578173077, -1, -1, -1, 411904696, 94724833, 740158708, 346625873, 913206295, 935786182, 924831035, 412929433, 103932402, -1, 662304930, 942884815, 551179679, 701799672, 405386912, 985745204, -1, 918966346, -1, -1, 651427009, -1, 911695911, 645493663, -1, -1, 947864439, -1, -1, -1, -1, 722372252, 920095823, 319714279, 385641284, -1, 216888855, 42854472, 915211908, 456483651, 708515340, 121777510, -1, 230579150, 427803550, 436649601, 654690095, 224159609, 422244902, 777042946, 242843543, 674059813, -1, -1, 46400257, 45822111, 345819774, 189235082, 369313761, 429301583, -1, 877581433, 693548827, -1, -1, 501302212, 170856370, 30444514, -1, 408780551, -1, -1, -1, -1, 826462170, -1, 336833208, 263651634, -1, 759281760, -1, -1, -1, -1, 724090218, -1, -1, 600184066, 501768821, -1, 762386612, -1, 271510997, 145427147, -1, 475816036, 535163290, -1, 176516778, 39065085, 170383965, 456379460, 612756946, -1, 443779424, -1, 834484621, 775147847, 307354049, -1, 327029536, -1, 983549204, 601150287, 412750535, 613033840, 765374113, 127130006, 839887435, 681857448, -1, 210386191, 100362367, 196718424, 209724382, 640823941, 118076661, 339574720, -1, 266591167, -1, 151173502, -1, -1, 994070855, -1, 890949368, 786295358, 162905229, 159616677, 392523923, 459700746, -1, -1, 58878362, -1, -1, 478162048, -1, 415865294, 505045086, 519501775, 659977186, 298098273, 768590038, 627087896, 29247096, 368939602, 128086313, 568360220, 309436471, 728915346, 669543085, -1, -1, 244388958, -1, 488130373, -1, 929947718, -1, -1, -1, 143669852, 328257512, 808377130, 627609712, 563106279, -1, 459316859, 1213042, 639109815, -1, 53185360, 788167067, 312394062, 388796824, -1, -1, 504580189, 537536767, 567544365, 425896182, -1, 114053569, -1, 773901798, 139506974, 148523269, 674307214, 897362997, -1, -1, -1, 766194485, 407710391, 791324656, 952420681, 398550687, 177097733, -1, -1, -1, -1, -1, 661414606, 404192958, 392121098, 620111507, 437890545, 182251254, 158213879, 839719861, -1, -1, -1, 672946067, 298065716, 807536603, 774560856, -1, -1, 21317709, 234898439, -1, 246549471, -1, 286187143, 567419797, 683994845, 184645975, 527993734, 3455761, -1, 906750638, 456688835, 741821833, 460140841, -1, 497683020, 30389050, 231639644, 261054700, -1, -1, -1, 576502819, -1, 770441950, -1, 756062059, -1, 349746147, 994314739, 151159986, -1, 233797875, 628580425, 672334273, 653461748, 358757056, 658596099, 465510256, -1, 434440308, 330249616, 285607626, 87171350, -1, -1, 785765490, 333481955, 672593715, -1, 251840993, 257597004, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 856324611, 472272002, 77306788, 158831788, 167094144, -1, -1, 772233018, 600574002, 659288370, 855981030, 620033319, 711145097, -1, 368323264, -1, 949827254, 101495343, -1, -1, 586241830, -1, 104204753, -1, -1, 291796205, -1, 562094137, 655024686, 10476985, -1, 447868103, 973469776, 550025495, -1, 21144668, -1, 58276111, 980680460, 262861677, -1, 710594377, 223081756, 84831942, 796506619, 602498343, 382641347, -1, 177736559, 550218934, 370247318, 132786394, 217563708, 132841957, -1, 685116950, 197959509, 510407991, 900639302, 806432663, 251248737, 168610427, -1, -1, -1, 877226839, -1, -1, 363470290, 767631024, 910832776, 679446408, 445608085, 346985324, -1, 598308238, 116795377, 597627534, -1, 129872977, 2197853, 662610826, 111064723, 228192054, 304593353, 538689999, -1, 369021189, -1, -1, 746687246, 66217826, 878238511, -1, -1, 18102383, 77794584, 710481910, 666458922, 187669741, 657311587, -1, 818148610, -1, 685012513, 258937129, 133609809, 853618034, 950863299, 336848674, 31559754, -1, 364663747, 309828525, 328746200, 812683419, 21966409, 41081317, 40069069, -1, 140368090, 135728591, 465889482, 38838976, -1, 785619225, 619306214, 630461872, -1, 993840879, -1, -1, -1, 829582776, -1, 249127806, 546489322, -1, 303362804, -1, 87352822, -1, 177841807, 372585324, 831793050, 743652918, 931515985, -1, 963669091, 442373316, 135126958, 824188483, 534625511, 332300680, 176118055, 949412708, 244003400, -1, 684146549, 591629207, 788572123, 792930498, 373714540, 850086887, 867506391, -1, -1, 162276500, 221408871, -1, 709662485, -1, -1, 647153602, 914449524, 210972497, -1, 938703828, 577303795, 127675344, -1, 534941618, 606628173, 834281896, 512853074, 138892840, 193532222, 181533143, 136791453, 206338718, 944920978, 946788491, 403223441, -1, 895763895, 527771274, -1, 526994467, 679004037, 764262369, 539191944, -1, 129426700, 776627164, 215195940, 68099695, -1, 499149175, 414767432, 638933741, -1, 909135811, 80496893, -1, 354426733, 476427729, 649155047, 967260243, 656560019, 660606550, -1, -1, 406863904, -1, -1, 364672479, -1, 921597405, 563940702, 975963539, -1, 828474617, 429130799, 115218056, 368865276, -1, 720577894, -1, 417182749, 563815992, 479732238, 148828990, -1, 865608095, 775927854, 892259786, 358203639, 879953487, -1, -1, 950347989, 271431206, -1, 849335971, 512447393, 392694911, -1, -1, 186443407, 607739698, 87620928, 461571634, 96759930, -1, 969314990, 881475184, -1, 996016868, 738673747, -1, -1, 438589912, 641942424, -1, 160721331, 7309751, 703368574, 353265612, 471323785, -1, 713665832, -1, -1, -1, 524422300, -1, 580669197, -1, 286104779, -1, -1, 115712872, 556275051, -1, 892160523, 30455191, 962977878, 442574809, 938607637, -1, 550052054, -1, -1, -1, -1, 408968252, -1, -1, 85697449, 428192040, 852619974, 135134154, 1121742, 2469548, 566076822, 87518758, 295356615, -1, 331557499, -1, 505887289, 1067848, 911426558, 338997960, 741053265, 909244799, 60014214, 490973792, 12338878, 59644595, 493782463, 529885282, 607934934, 144960372, 436569326, 291404168, 144533121, 540603574, -1, 785999662, 818567071, -1, -1, -1, 336035371, 428269044, -1, 181479874, -1, 305058463, -1, -1, 412855628, 650309886, -1, 816651977, 142076004, 938179966, 702880339, 948516048, 148927405, 280469992, 347962113, 652138350, 498487012, 886930941, 917845818, 761929107, 367061871, -1, -1, 972867130, 860873014, 965476876, 656012280, 436432612, 115279841, -1, 752943969, 282921140, 412987357, 560600158, 192101815, -1, 686567268, -1, 118550093, 710803024, 43756385, 357869073, 149711684, 396637852, 580191126, -1, 817140330, 164787714, -1, 803487837, -1, 37083982, -1, -1, -1, 359719144, 656660935, 770095765, -1, 938307580, -1, -1, 647566603, -1, 617295150, 103390761, 506477304, 545682051, 858648136, 205833587, 143773201, 560499852, -1, 418942733, 330505299, -1, 662322529, 651301607, -1, 167766270, 389121531, 182319697, -1, 833258751, 413388905, 896947699, -1, 731816386, 895724278, 25786695, 158571000, 627264659, 755133038, 590534172, 775697181, 686539207, 95680000, 151603038, 897977434, 991412142, 861306630, 638822975, 174867936, 852948700, 555167229, 653687887, -1, 471340165, -1, 802327090, 593012820, 377135102, 171418862, -1, -1, -1, 113325743, 243917909, 476213338, -1, 115350678, 19695525, 340259810, 465743152, -1, 690749450, 997362815, 306483354, 285166770, -1, -1, -1, 29582861, 746347826, -1, 112305722, 880215163, 356949463, 542429167, 823528769, 304160880, -1, 632086189, 279850933, 37505272, 71571873, 807204088, -1, 576239334, 234317961, 52682522, 594066558, 402412398, -1, 696401210, 648053462, 608520403, 987327282, -1, -1, -1, -1, 146036765, 990623344, -1, 164290145, -1, -1, 5168295, 652215662, 665176186, 239567161, 952315631, -1, 697202027, 738533343, 60070126, -1, 775071490, 619318823, 566202137, -1, 174646557, -1, 945396239, 116893785, 820298331, 623621330, 558133309, 242824248, -1, 332885692, 960916353, 41331926, -1, -1, 812077653, 926012725, 411009201, -1, 633484528, 388648519, 136044076, 732936268, -1, 729220855, 872404279, 237144572, -1, 503501789, 299304711, 864383974, 362088446, -1, 243621870, 129983523, 508452288, 908193521, -1, 381778428, -1, 61134340, 561035506, 696840173, 88668028, -1, 391129230, 541168365, 812890221, 292601902, 114996217, 780202761, 433464812, 698248710, 126173737, -1, -1, 945141978, -1, -1, -1, 379270357, 800552158, 331640165, 488787853, 78365862, -1, -1, 744219074, 923753342, 34510639, -1, 816853634, -1, 219548899, 877560241, 957246370, 448179168, 44580696, -1, -1, 171652438, 672473710, 916315428, -1, 212363158, 487870248, -1, 486345642, 441316697, 317595958, 595177106, -1, 889870395, 474578061, 179547553, 422444193, 625456028, 743355052, -1, -1, 504132395, -1, 669523430, 424677339, -1, 324858616, 692210880, 65919512, -1, 797168080, 788105399, 38596640, 808321598, -1, 938135220, 178798614, -1, 115120245, 536967095, 701489562, -1, 141591638, 419658812, 240424631, 344434984, 791121566, 386910106, 724713635, 523377328, 839709589, 954070464, 996736117, -1, 659356342, -1, 935202725, -1, 953249260, 767434245, 974977785, 822618453, -1, 447980172, 552027563, 636315657, -1, 731479833, 671709675, 869896124, 638232092, 412460696, -1, 549295271, -1, -1, -1, -1, 54348285, 622255951, 276270988, 773818300, -1, -1, -1, 147951459, 758079956, 656720255, -1, 711737275, 906000076, 991233784, 863563049, 918683432, 798276826, 864931131, -1, 983703338, -1, -1, 824404541, 62082741, 436254678, -1, -1, 707812881, 878701071, 918113518, 978731237, -1, 723771129, -1, 510186446, 789404901, 943041532, -1, 701130061, -1, 459011624, 617131501, -1, 763491468, 883509795, 139562563, 342167656, 898699880, 138738860, 440625048, 655335492, 59131957, 308891429, 697520765, -1, 384110961, -1, 806071719, 256412063, 748348471, 487200488, 387685886, -1, 811736554, 792168271, -1, 618982775, 196101642, 648422080, 29878978, -1, -1, 196501874, 311266912, 637235957, 689312226, -1, 211446885, 116557441, 633093012, -1, 924792169, 953158123, -1, 442141509, 745135785, 248445092, 122208945, 719824099, 407571128, -1, 780925822, 350726796, -1, 864095396, 563907361, 637181130, 891046172, -1, -1, 990391026, -1, 953429126, 948593786, 26165471, 863114969, -1, 213757500, 99209530, -1, -1, 875142789, -1, -1, 989521577, -1, 60678020, 774170620, -1, -1, -1, 246697505, 158541279, -1, 751008308, -1, 323610316, 89810068, 883714098, 960318170, -1, -1, 80078299, 441896200, -1, -1, 64405745, 531037994, 586770346, -1, 43919327, -1, 316275792, 647536834, -1, 96357760, 970242371, 986661522, 773008150, 264489218, 976974729, -1, -1, 766844833, 43908836, -1, 963176891, 484463412, -1, -1, -1, 449765695, -1, -1, -1, 220626205, 570092253, -1, 45047725, -1, 66970355, -1, -1, -1, 870414366, 281130619, -1, 175581347, 423319008, 924480632, 528179986, -1, -1, 424210376, 939717960, 998768333, -1, -1, -1, -1, 39486984, 191192664, 124593776, 811174047, 986325181, -1, 243890974, -1, -1, 31426360, -1, 904549196, 622124023, 757648446, 734921668, 521762322, -1, -1, 551293026, 268028884, 280296993, 7150553, -1, -1, 813738811, 705557368, -1, 361848247, 305608213, 126870719, -1, 235072331, 781148870, 782400179, 472101254, 127163146, 191641756, -1, -1, -1, -1, 443835815, 780829240, 197168921, -1, 569449294, 823412735, -1, 920333358, 424265082, -1, 626329160, -1, -1, 610241164, 785065122, -1, -1, 493323005, -1, 315958356, -1, 515464913, -1, 843350617, 990235346, 402854977, 381321642, -1, 647709470, 568671965, -1, 801420905, 762473200, 517203122, -1, -1, 254951008, 890061617, 80034917, -1, 147605225, 809190171, 267616995, 567591261, -1, 928619650, 435022934, -1, 703290049, 384412463, 905880688, 474605928, 400293887, 509609062, 990777777, 678579177, 605723582, 655647878, -1, 16231596, -1, 306347241, -1, -1, -1, -1, 46038526, 987823668, 747383016, 549170005, -1, -1, 567298684, 717642010, 771110322, -1, 342905202, -1, -1, -1, -1, 331764780, -1, -1, 986141760, 560029764, -1, 820613754, 446116234, 104469296, 948726240, -1, 280215830, 710080434, -1, 240618140, -1, 894411325, 837635074, 173485359, 551556930, 622339739, 492604677, 822625277, 797598816, 956416285, -1, -1, -1, 72175010, 748720501, -1, 890186471, -1, 758386919, 822983470, 703185819, 476573402, -1, -1, 95457812, -1, 815482647, 769005300, 99160034, -1, 994594291, -1, 779223171, 278447920, 61709099, 774406561, 424489505, 465504860, 930576956, 360331906, -1, 818596167, 883644772, -1, 189552372, 59428799, -1, -1, 794367404, 701958277, -1, 21199107, -1, 90620979, -1, -1, 987285458, 538908500, 30761141, 493190206, 861856359, 380759418, 96018130, 420916749, 699846974, 70520871, 799065665, 429905798, -1, -1, 401692834, -1, 860659629, 616744033, -1, 880178099, 356774954, 263050955, 228391037, 457148974, -1, 593743734, 734562170, 454959138, -1, 79130129, 861818806, -1, 590541448, 245037476, 497048461, 893167987, -1, -1, 400471361, 537378491, 643953214, -1, -1, 252615933, 314323563, 15926931, 399169995, 302314059, 580327774, -1, 340312031, -1, -1, 513972644, 667342483, -1, 236044041, -1, 147459390, 968451880, 160719873, 45572462, 540436156, 592553521, 795411485, 957437951, 272047565, -1, -1, 638084786, 141038879, 919976604, 957456287, 682592686, -1, 490112497, 976295730, 693457859, 410290722, 103922867, 22122512, 829089026, 971585410, 777869085, 383497698, -1, -1, -1, -1, 634480582, 77064101, 766774430, 917823500, 168147808, 744367369, 566873058, 727147398, -1, 907368323, 865901734, 237016687, -1, 180876475, 808283367, -1, 351713294, 812761821, 137894972, 183737394, 594313703, -1, 175460089, -1, -1, 641154985, 863697535, 390200386, 661291796, -1, 201285596, 223202804, -1, 318728754, 790095385, 517556467, 275643095, 991313296, 328287218, 518159897, -1, 511168489, -1, -1, -1, -1, 343283406, 842001274, 791249115, 498737616, 698388442, 220976811, 336007807, 680016047, 605763078, 883712603, -1, 277850178, 681833115, 273868603, 452117856, 390843407, -1, -1, 947836000, 21895467, 190480983, 126243690, -1, 575641323, -1, 784720022, 758433882, 523605156, 104247904, -1, -1, 594845383, 923590545, 121988569, -1, 517149881, 743931995, -1, 313149296, -1, -1, 871493956, 707548654, 174926440, -1, -1, 540771907, 804498833, -1, 939793516, 948211585, -1, 311976686, 677316971, 762005051, -1, -1, 904406545, 635219363, 343678374, 86690428, -1, 230351503, 545256547, 732286305, 238689867, 507878795, 992143778, 456380119, 325949673, 786879869, 984301487, -1, 208894835, -1, -1, -1, -1, -1, 117792770, 103841049, 490774530, 724197179, 809861399, 223854900, 185735847, -1, 145792653, -1, 696344948, 987084643, -1, -1, 398163918, 106189333, 58483036, 766693009, -1, 185216977, 325925276, 699896221, -1, 183807787, -1, -1, -1, 927395913, 382417021, 860865964, -1, 379236705, 587949996, 938676419, -1, 953321147, 898433951, 167576278, -1, 541347806, 663189878, 613452711, -1, 539700554, 80301334, -1, 253681860, 269610713, 927662435, 322682623, -1, 326088589, 641582035, 498478213, 263526409, 131078664, 215801972, 842394457, -1, -1, 463617956, -1, 574518091, 261103723, -1, 419268396, -1, 925519770, 602060998, -1, 98425068, 406946019, 184336852, 209209585, 75878576, 357403047, -1, 37167692, -1, 842282609, 326365143, -1, 153811466, -1, -1, 701545371, 210970904, 861788706, 331443367, 341796821, -1, 406997319, 680120289, 680928456, 711324201, 304152821, 823379905, -1, -1, 624573189, 506992602, 668183181, -1, 503458611, 806949312, 381016745, 320557722, -1, 347367215, 170670586, 418406224, 630383621, -1, -1, 426824844, 208117409, 277507761, -1, 325270429, 801276170, -1, -1, -1, 236501367, 392067331, 315007347, -1, 233420323, -1, 4554033, 20672137, 954463396, 382360677, 950548515, 34241546, 840026191, 754245500, 159735234, 659651291, 916562250, 796468237, -1, 755793473, 525278255, 603599507, 591575684, -1, 304830137, -1, 432647270, 555148038, 535639983, 231399113, -1, 3456004, 500611975, -1, 179275444, 25383732, -1, -1, -1, 332848307, 691689025, -1, 152226702, 449705592, 441735615, -1, 163836471, 449280458, -1, 67211925, 942766151, 906910043, 33127467, -1, -1, 109080491, 114124895, 901724979, -1, 274146975, -1, -1, -1, 678055266, 405558815, 860401883, 919391863, 505411348, 659873732, -1, -1, 516784238, 278244197, 167521388, 480288424, 729410311, 366775969, -1, 293942798, 903660542, 741748769, -1, 871093601, 773319281, -1, 357407252, 528367468, 535836676, -1, 471917171, 139277944, 855941136, 285691683, -1, 168883271, -1, 188995964, 305569117, 839912542, 527505116, 423692885, 861304871, 865223711, 571296107, 515438242, 39853288, 3668088, 874096906, 444886179, 791034202, 315530078, 693415447, 333073012, -1, -1, -1, 22856337, 490256513, 481511138, 622152279, 898907952, 514427018, -1, 376796509, 715295138, -1, 704106432, -1, 245213217, -1, -1, 27481311, 445139024, 180055367, -1, 527644010, -1, 932045745, 522735964, 787935260, 498456519, 593076769, 480846969, 269275856, -1, 403202858, -1, 428822158, 897393984, 801502496, 696061739, 80010121, 24576360, -1, -1, -1, 759236759, 764193567, 539978070, -1, 881516282, -1, 804127614, 417413873, 648647949, 886879623, 633493514, 296861397, 555245218, 80145910, 134661392, 359870341, 281737094, -1, -1, 313469900, 568485602, -1, 50517707, 733606840, -1, 378649200, -1, -1, -1, 61858505, 661701559, 89401069, 800362680, 473363021, -1, -1, 308397096, -1, -1, -1, 78796687, 320876623, 813349121, 333364215, 826627895, 473228099, 272467609, 108816203, -1, 476733622, -1, 283106258, 613599955, 213028253, -1, 636323712, 30235318, 849529431, 42549571, -1, 21099617, 757422826, 332185281, 892819341, 459695008, -1, 321949185, 487705585, -1, -1, -1, 350180523, 495310546, -1, 848109219, -1, -1, 63747325, 84760574, 190566084, -1, 413532457, -1, -1, 545374164, 904891633, 539558505, -1, 62297103, 194756585, 314485238, 922161542, 169903070, 279285775, 225156023, 697131571, -1, 115581675, 112649426, -1, 69252105, 763810109, 258528422, 810317381, 769170101, 114204084, 712009363, 209916957, -1, 848172236, -1, 738823910, -1, 381410494, 647304267, -1, -1, -1, 822487351, 476042495, 307299382, -1, 497022550, 260101133, 339111924, 198658617, 91655730, 895044887, 597256709, 284765426, 705511284, 452539902, -1, 16289032, 704910403, 602745510, 584043082, 881945740, 575490227, 796501364, -1, 6149248, 322692175, 25471185, -1, 11859021, -1, 864552014, -1, -1, 420305896, 524222446, 16573532, 413953939, -1, 243998851, 513481151, -1, 470013883, 602575906, -1, 389563130, -1, -1, 162141989, 268364091, -1, 747982938, -1, -1, 618484969, 503419817, -1, -1, -1, 121629276, 60314790, -1, 972311420, 7053605, 22033389, -1, 629758007, 235079531, -1, 31268279, 277336225, 775809506, -1, 702083984, 403678442, 654871841, 907238657, 657837823, 584967743, -1, 879641789, -1, -1, 419670843, -1, -1, -1, 983823607, -1, 250914658, 104323111, 343579205, 430126467, 846927994, 3471531, 44282140, 304884918, -1, 854825517, -1, 718895672, 250686525, -1, 88159761, 945844340, 739993900, -1, 191007297, 333645739, 923505311, -1, 691050310, 117173893, 870791200, -1, 903503361, 236696336, 293443559, -1, -1, -1, 934450501, -1, -1, 122542345, 176789574, 188320018, 42252393, -1, 22797011, 791327444, -1, 442071770, 662578799, 786661696, 538765532, 894471543, 647870316, 32089053, 864335381, 167860611, 349922456, -1, -1, -1, -1, -1, 959610891, 88189090, 86182514, 971806951, -1, 497793523, 200196758, 604893401, 5180362, 795565735, -1, 366517196, -1, 937410978, 384406446, 477662605, 482677042, 259679517, 330279572, 598994957, 976139543, 927051648, 788787852, 767940352, -1, 24048633, 815786744, -1, 687653220, 904229869, -1, 781768075, 801301664, 804581906, 980262115, 817381581, 444234925, 522722266, 676043615, 288865362, 64557982, 62851433, 13876118, 650795814, 394279328, 121492599, 80610450, 291444153, 605051762, -1, -1, 834185293, 127205056, 694223373, 749725973, -1, 110748248, 978401894, -1, 220551679, -1, -1, 128588571, -1, 575686109, 858883285, -1, -1, -1, -1, -1, 995563127, 388047162, 381046687, 365459014, 461399468, -1, -1, 749919278, -1, 719516699, 676903359, 622960557, -1, 46448511, -1, 120281085, 284066261, 704603722, -1, 369754580, -1, 737549725, 325770436, 723142242, 864732574, -1, -1, -1, 435323039, 793523376, -1, 722754097, 631767328, 316308262, 82794481, 198597759, 506252028, 428203335, 52068566, 443966314, 190250626, 537794512, 647252958, 925913822, -1, -1, 158817201, 277530886, 688528175, 805010339, -1, 449948032, -1, -1, -1, -1, -1, -1, 919263975, 868556635, -1, -1, -1, -1, -1, 428627088, 636971572, 99039420, -1, -1, 304690938, 4555556, 682257877, 940884159, 281872844, -1, 150732325, 814629958, 604656411, 116462016, 415155076, 735581945, 974102354, 392565700, 463048570, 58773437, 238612932, 178846187, 180268764, 227832620, 10817008, 621936711, -1, 113366243, -1, 677653835, 332129595, -1, -1, -1, 198130489, 681790561, 82609384, -1, 530168732, 754288255, 721451892, 289800195, -1, 351352967, -1, 316330137, 660419195, 275704040, -1, 36993695, 327619542, 568570111, 442277347, -1, 829196691, 442210417, -1, 600529770, 21161002, 33260084, 224005163, 602654179, 935932539, -1, 911808102, 678670536, 880932443, -1, 169232455, -1, -1, 535834312, 28353636, 546351382, 79041352, 559154628, -1, -1, 290648661, 626416687, 900274626, 120403113, 323751500, -1, 74658409, 341803992, 141030810, 188736493, -1, 849178456, -1, -1, 874903175, 629477662, -1, 706584410, 168236920, 989242735, -1, 939240015, 166142925, 684715220, 304929597, 753035557, 810350373, 291214982, 753691197, 197374547, 702418660, -1, 960963147, -1, 246559233, -1, 239715017, 559945655, 597161073, -1, 170391372, -1, -1, -1, 744333480, 341768474, 772325653, -1, -1, -1, 230533329, 240133544, 85026215, 213770002, 593490306, 293525728, 32650329, 999623254, -1, -1, 288360090, -1, -1, 543999216, 635989276, 24066802, 55606322, -1, 399746701, 813857750, 323380772, 47027987, -1, -1, -1, 424197408, 985611257, -1, -1, 375223344, 71944379, 680135297, -1, 964907926, 23121561, 674454874, 765121299, 693640003, 518959249, -1, -1, 60667928, 319241420, 824084014, 548836579, 108462780, 73147599, 463181721, 892280220, 630930647, 199355284, 204240808, -1, 32102810, 716256152, 236868997, -1, 946470775, 630258003, -1, -1, 589932081, 701379559, 982047759, -1, -1, -1, -1, 427029437, 979921145, 496008687, 278593548, 954955762, 537890307, -1, -1, 451820136, 772802673, -1, -1, -1, 475199182, -1, 176858482, -1, 277655161, 216283360, 81339585, 945499028, 124300669, 88830637, 518937349, 270958267, 378954451, 651697450, 139486198, 49093950, 200591000, -1, -1, 70517979, 803032993, 453856760, 780048130, 509575419, -1, 641595420, -1, 566075251, 425567722, -1, 795017193, -1, 350794744, 382554907, 5742417, -1, 161143453, -1, -1, -1, -1, 613554224, -1, 370607155, 161381607, 414781624, 405778934, 539041340, -1, -1, 260415397, 437198227, 849057841, 331738949, 417558726, 578779650, 914340242, 173343586, 987299232, 753146323, 539589454, 232952218, 356502888, 831111582, 885652311, -1, 848678108, -1, -1, -1, -1, -1, -1, -1, 658782287, 154176849, 44586669, 878679973, -1, 692616911, 19618109, 3479215, 235890921, 353961661, 281048000, 63485490, 419249821, 429181140, 473979313, -1, 38250986, -1, 385937590, -1, 462794986, -1, 857508221, 301837567, -1, 425452179, -1, -1, 783188080, 218065594, -1, -1, 734813607, 561776743, 588566293, 570452163, 93904975, 344381102, -1, -1, 954571259, 218948367, 199348583, -1, 74423287, 606859571, 230580642, -1, 298615240, 424235763, 972700877, 127777925, -1, 980177218, 438385983, 474060201, 116245857, 731899325, 186644280, -1, 743754699, 366942365, 109465545, -1, 740180698, -1, -1, 950968284, 382121059, 6043535, 696919359, 350639551, -1, 421067103, 65237392, 562085068, 631985202, 557930690, 409540040, -1, -1, 759675532, -1, 875142049, 878219197, -1, -1, 385029683, 289123827, 155814659, -1, 657804405, 69511440, -1, 215736969, 520817459, 74186251, -1, 765729966, 442629987, 365781954, 869348357, 868633208, 255682564, 202702601, 307871780, 623521702, 797981772, -1, 554671806, -1, 997019231, -1, 650802305, 458626044, 953120207, 487171673, 616261996, 68735707, 59754900, -1, 518968310, 484495742, 39332827, 168212436, 792759172, -1, 909162395, 338379025, -1, 691786690, 926803391, 542213132, 733884487, 883489285, -1, -1, 657045161, 938212896, 300611806, 619775123, 182842963, 396414984, -1, 439278166, -1, -1, 768925311, 481969397, 179396207, -1, -1, 533135780, 848240854, 618230816, 863462451, 684286721, 912639914, 446637225, 159265337, 935981496, 796659078, 584457476, 846562254, 585049056, -1, -1, 434232424, 529249929, 746554905, 285663561, 986362490, 993845820, 596618693, -1, 266502650, -1, 624751046, -1, 855631603, 511994134, 654637742, 842636063, 717252598, 739931187, -1, 75771772, 747462578, 761315560, 843314679, 18819496, 894979837, -1, 857747358, 182160834, 714582551, -1, 784592340, -1, -1, 390050211, 42952688, 490106038, 173848083, -1, 793488436, -1, 236310000, 964029070, -1, 457785810, 92479500, -1, 609036609, 811160053, 238873401, 540490703, 494982413, 49637497, 252062610, 845070783, 458902365, 764420811, 117499453, -1, 14320570, 196850417, 808720253, 694422036, 879957953, 90573259, -1, 727194878, 290419169, 841350406, 416198087, 10540854, 660445607, 547597434, 790870243, 79334811, 790437372, 526656635, -1, 423567803, -1, 723280131, 602345412, 110540756, -1, 865324171, 760047996, 994592340, -1, 167839930, 979140908, 403549437, 407329184, -1, 373411128, -1, 299839236, 844666870, 717992082, 784464339, 80376569, -1, 249264658, 1538889, -1, 308701132, 802855956, 319374612, -1, -1, -1, 305483204, 321092791, 241793904, -1, -1, 594650892, 982516464, 345912500, 526428657, -1, 701798740, 796872394, 209013429, 121785475, 725946432, 502118391, 336880640, 910315463, 556862764, 333321677, -1, 539571849, -1, -1, 703778309, -1, 24829334, 223377441, 547298985, -1, 73734454, 523288984, -1, 950022676, 302465833, 240809859, 355474023, -1, -1, -1, -1, -1, -1, -1, -1, 569338934, 713348844, 48566204, 747729663, -1, 411434577, 446876801, -1, -1, -1, 868018128, 885906056, 810875332, -1, -1, 324154366, 464113551, 217048235, 131924961, 749688798, 41352417, 792631473, 814827496, 136794526, -1, 719993432, 661461823, 911644197, -1, 246890223, 406086911, 991794517, 579923408, -1, 891256037, 354092663, 216168508, -1, 877542933, 338635782, -1, -1, -1, -1, 634842728, 247841746, 2247680, 590439870, 942432782, -1, 708766753, 183445764, 625777998, 699272631, 975986551, 329465086, 951586678, -1, 776902153, 545248098, 933422182, 275670685, -1, 461584846, 894152342, 19770698, 499679306, 814697692, 356291390, 980969123, 498168376, -1, 942865587, 356248542, 969845134, 268316840, -1, -1, 423620316, 345850273, -1, 895640854, 365775607, 745062791, -1, 165578903, 264794203, -1, 206399418, 225435573, 435222658, 587085616, 97202875, -1, 221317592, 16078575, 993842648, -1, 808701977, 148875277, 326657, 643390211, -1, -1, -1, 543827867, 777474864, 207405120, 515055311, -1, 228013084, 633986747, 282622602, 67810741, -1, 952077, 184923184, 250938334, 444213156, 688409788, 807924441, 349681863, -1, 581241773, 928211596, -1, 886904337, 812717829, -1, -1, 603070076, -1, -1, 472132957, 189209945, 528148485, -1, 165746460, -1, 887975466, 737494011, 290046804, 164716619, -1, 933649204, -1, -1, 663043919, 59399737, -1, 240458995, 139513566, -1, 936074405, 695155277, 361787331, 811828949, 223231839, 171994213, -1, -1, 900611454, -1, -1, 800022714, 854791320, 342441618, 159181266, 491482518, 516145767, 992986992, -1, 397627036, 49419744, 629829856, -1, -1, 833381184, 239252600, -1, 205211117, 4187026, -1, 405194603, 660360010, 616798561, 785518176, -1, -1, 683899330, 695774307, 887049448, -1, 757732902, -1, -1, 864160338, 406927114, -1, 925770635, 812666118, 627609269, 570918554, 833915996, -1, 25857012, 108717736, -1, 488936778, -1, -1, -1, -1, 843158996, 884781139, -1, 2126385, 694911238, -1, 724526062, 493257821, 85680189, 694105068, 429097192, 474091234, 789262833, 509048501, 962462399, 320585590, 247186390, 403639796, -1, 959615566, 152047778, -1, 85202737, 933725806, -1, 291708551, 622839052, -1, -1, 150237454, 366923178, 787095379, 381205473, 396226651, 710580831, 644552428, 456875607, 692505061, 881740351, 338112705, -1, 481455285, 798973996, 232464926, 922090077, -1, 804736676, -1, -1, -1, 71236876, 473212833, 256626951, 198512508, -1, 742811196, 490584974, -1, 949385492, 926590142, -1, 430917745, 901868633, 345074538, 240529133, 799706089, -1, 421189507, -1, -1, -1, 248555006, 667873733, 954671738, 717135373, 369213522, -1, 70594117, 148823273, 173429190, -1, 868019975, -1, -1, 735179598, -1, 641861803, 607931908, 816835475, -1, -1, 483519397, 569402574, 600867481, 689695769, -1, 258014736, 981411589, -1, 158363185, 627411925, -1, 889383243, 504375297, 231780500, 981137713, -1, -1, 437105670, 259408011, -1, -1, 294435070, -1, 684765850, -1, 951083371, 352980652, -1, 996650818, -1, 934147162, 608618579, 417087321, 384196258, 495418749, -1, 558975219, 395423088, 223833331, 258196334, -1, -1, -1, 646364326, -1, -1, 9106970, 109066743, -1, 910343421, 186776325, -1, 666486278, -1, 188758479, -1, 255199142, 835009114, -1, -1, 561106805, -1, -1, 376001158, 754187488, 769078046, 81422705, -1, 802507218, 832144067, 639160395, -1, 739496652, 155435183, 415254447, 349665429, 169812620, 183932143, 747663960, -1, -1, 849882731, -1, -1, 899587472, -1, 746652171, 709028416, -1, -1, -1, 415671930, 131572505, -1, -1, -1, 751114181, 790040295, 316899141, -1, -1, 61263493, 447557792, 598216660, 304105166, 548877171, 475473559, -1, 995592124, 160941613, 593215925, 518792134, -1, -1, 403323895, -1, -1, 903778045, 322486543, 424615875, -1, 409303311, 19558966, 208492500, 65989585, 867080456, 136851818, -1, 37624547, 489156133, -1, 823245361, -1, 98264854, 91764833, -1, 259747470, 341263201, 472871139, 18081638, -1, -1, -1, -1, -1, 286853048, 619058840, -1, -1, 340075258, -1, 931743007, 410016932, 377353722, 303120236, 665022390, 120483444, 784437569, 684249397, -1, 766729654, -1, -1, 202813892, 322592330, 148867074, 953378091, -1, 511359856, -1, 504894540, 355109470, 347864550, -1, 147821212, 443025893, -1, -1, 73298154, 27586131, 607780262, -1, 132132551, 264699184, 95421036, -1, 653139326, 631733878, 419159921, 763761082, 875468816, -1, -1, 554809464, 557206777, 938656641, 809384321, 261228040, 991504544, 458804668, 896966372, 487892888, 16825594, 225431019, 334064669, -1, 290043681, 13705467, -1, -1, 636624355, -1, 369599817, 570598199, 989858969, -1, 594047611, 335919651, 961304159, 912507700, 360004504, 925737991, 682963129, -1, 145382787, -1, 616688873, 9807684, 8064071, -1, 807368697, -1, 61432691, 579221010, -1, 925549333, 821556444, 488042592, 253871157, -1, 367647420, 807845679, 22467628, 284027966, 451830789, -1, 671145043, -1, 354359025, -1, -1, 141290875, 991965908, -1, 692922781, 167305934, -1, 837202481, 248380087, -1, 870439646, 725513876, 197373741, 447933547, 663356746, 76000086, 557401291, -1, -1, 991867386, 617824175, 325559553, 680181804, 815570704, 29740866, 112182888, 411313276, 582645384, -1, 421384020, 414633715, 292207252, 41984795, 817723323, 5531169, 179668904, 594074960, 449135157, 139274757, -1, 905374830, 839176646, 361002458, 79207319, 224469251, 414125574, 994509704, 549265564, -1, 465019525, 292507697, 106264146, -1, 913132965, 751645610, 66302454, 220958199, 484352916, 118596459, 966825262, -1, 188087773, -1, 121308247, -1, 633228539, -1, 821586071, 389069950, 600480152, 535724036, 930050383, 372969593, 980568735, 450962708, -1, 572980455, 964181534, 345390814, -1, 790475799, 682825232, 751985931, 823105014, 154777961, 833622360, -1, 961400918, -1, -1, 670648353, -1, -1, -1, 141313470, 859404966, -1, -1, 688604774, 613400239, 44919210, 866479490, -1, 217813507, -1, 708103886, 331069977, -1, 796549727, -1, -1, -1, 291949853, -1, 943760321, 165814559, 470217420, 361204425, 391068526, 163985298, 416467465, 709099783, 437791303, 463718387, 802266904, 790540376, -1, 195241141, -1, -1, 336312966, 875391726, 469084466, -1, 369076299, 591709511, 799530620, 798880020, 559316147, 139144346, -1, 420427492, 237620703, -1, -1, 47224103, 804897519, -1, 887784436, 55621098, 53047130, 645498420, 164640154, 438938749, 447753021, -1, -1, 872599906, 303591799, 66699179, -1, 604425967, 97787462, 998667279, -1, -1, -1, -1, -1, -1, 628335567, -1, 902279616, 141667781, 367488530, 110452010, 970746843, 857037773, 349961299, 761585916, -1, -1, 917205181, 684673976, 462645030, 494268313, -1, 135976411, 789648114, 189563896, 19846440, 76413936, 97115922, 998113592, -1, 377590338, 331650596, -1, 192506582, 88614088, 326471936, 90868179, 21349605, -1, 990123807, 882182343, 972602572, 19703439, 546204579, -1, 516053945, 294645851, -1, 12792555, -1, 55741576, -1, 320853427, -1, -1, -1, -1, -1, 948711924, 338286025, 736840498, 947069692, 636713988, 360756026, 511156145, 693130429, 474044456, -1, 949119515, -1, 515025524, 223928991, 838473781, -1, 794973830, -1, -1, 393454669, -1, 382255908, 42272746, 469552089, -1, 497537747, 2341498, 886595751, -1, 351037461, -1, 187756535, -1, 38916260, 884368136, 986970875, 475725034, 159612344, 470614310, 937978398, 399576032, 831251003, 386948730, 924485209, 636576602, -1, 989908920, -1, -1, 830605924, -1, 369765686, 387778189, -1, 644033926, 708598866, 648280860, 555258950, 697563171, 80459348, 819974252, 464573719, -1, -1, -1, 372192461, -1, 457169953, 406216633, 659333113, 226703315, 824008764, 803403481, 214412320, 594937777, -1, 262753308, 319007353, 792571444, 894995938, 832429094, -1, -1, 79658269, -1, 621361136, -1, 117126671, 174994052, 763372496, 36032872, 99049950, -1, 495423358, 140731721, -1, -1, -1, 156696444, 103709025, 859798770, 103269402, 638077199, 852441827, 897121964, 205376087, -1, -1, 800733003, -1, 268893542, 32598615, 135473689, 12362964, 139754259, -1, 302698713, -1, -1, -1, 241962922, 426660807, 452515288, 206659719, 635264623, -1, 285617443, 216062556, 91526770, 798388335, -1, 837679909, 379584761, 262988219, 378761708, 784321742, 336856638, -1, 540685284, -1, -1, 69558122, 486039587, 883621401, 218394247, -1, 561362782, 80179567, 586458227, 381841732, 657088028, 6423534, 526072618, 32469303, 774865889, 87336508, 491477153, -1, 131573253, 213092464, 772837401, -1, 990566764, -1, -1, 249861301, 175649919, 327125526, 844083659, 819215874, 505364186, -1, -1, 467228551, 573581757, -1, -1, 351293652, -1, -1, -1, -1, -1, 513470813, 473296497, 347115715, 192792944, 426561345, 517855240, -1, -1, 866008387, 254268852, 295046033, 630460788, 561111836, 69481572, -1, -1, -1, 262708540, -1, -1, 38828826, -1, 407807126, 378111055, -1, 444609557, 562580135, 601888574, 4831043, 100625867, -1, 536302482, -1, 506315610, 668067667, 102570530, 513721461, -1, 509240022, 234476483, -1, -1, -1, -1, -1, 469676107, 757088693, -1, 570751644, 384872029, 130618437, -1, 15023616, 251596077, 263241686, 121499168, 112445568, 697807826, 147794823, -1, 193039379, 463534124, -1, 831004563, 637839496, 238044292, 266943783, 574178048, 978692135, -1, 825257520, 245835626, -1, 276475446, 874262894, 65413779, 788559836, 188662719, 444272243, -1, 667172687, 649623527, -1, 723934100, -1, -1, -1, 703724747, -1, 628158446, 24150870, 891695642, 640417107, 67395686, -1, 522567078, 57173590, 993504977, 135627639, 548502895, -1, 213120367, 486883230, 877076131, 484957266, -1, 104003459, 708809817, -1, -1, -1, 396318550, 137133948, -1, 831837724, 131826184, -1, -1, -1, -1, 823779746, -1, 777762452, 798563008, 393321908, 428542098, -1, 806886704, -1, -1, 751710873, 6237241, -1, 315500378, 528244300, 379404890, -1, 207811876, 177162601, -1, 848938289, 173733618, -1, 960028806, -1, 121501405, 661089843, -1, 15137423, 355020359, 122936259, 714821095, -1, 803177381, -1, 116793640, 592483803, 174807181, 136146195, -1, 790369225, 627050075, -1, 410470330, 292197991, -1, 493390848, 716496916, -1, -1, 579204571, 321992853, -1, 290944984, 507606826, -1, 500598992, 747278335, 866462635, 776720671, 495979048, 775101476, 771738100, 937719601, 260591318, 85192941, 92303639, 890026457, 395676273, 363524132, 275619679, 525558595, -1, 410311267, -1, -1, 795312473, 373223636, -1, 525988974, 448755932, 58924247, -1, 374882118, -1, 950708107, 109275424, 646594809, 457528565, -1, 505608155, 60089939, 884752363, 927706878, 664955166, 325121159, 951489307, 594646771, 64239464, 105720652, 287919364, 822794781, 79190855, 521608783, 555031858, 361263058, 157973883, 101904304, 87018019, 399307089, 305154065, 772945363, 790085925, 242686461, 6744853, 980614162, 964377039, 709732741, 613185034, 543065063, 433490786, -1, -1, 767466168, 974900693, -1, 573230257, 742182960, -1, -1, 922932637, -1, -1, 886283103, 28412821, -1, 836608093, 474788888, 451938910, 406518370, -1, 524857612, 877684101, 585406606, -1, 273187010, 110819057, 938524359, -1, 50161932, 878831461, 265220240, 68554974, -1, 597197877, 306253115, 597811987, 726870995, 297029456, 619798497, 973312711, 525283183, 204326098, 625594796, 546291701, -1, 227813259, 247854962, 452856786, 999332124, 349691324, 265104251, 372802587, 46698479, 146822807, -1, -1, 966902100, 462301679, 855057294, -1, 621225232, 868106864, 82549572, -1, 434130460, -1, -1, 226332560, 71535577, 239521009, -1, 124629002, -1, -1, 353525240, 9566298, -1, -1, -1, -1, 917130960, 19571905, 995565697, 790436175, -1, 105203837, -1, 874107681, 473703522, -1, 669362147, 216116622, -1, 567409732, 837099516, 935279404, 446410209, 67872687, 258489045, 526859917, 574929785, 998860974, 694572093, 687460659, 353841860, -1, 818633241, -1, 931848494, 349442174, 175347394, 358503885, 801527063, -1, -1, -1, 333435334, 210182519, 695270738, -1, -1, -1, 239692547, -1, 234224323, 251057497, 516976318, 876333937, 74721315, 421276486, -1, -1, 514832715, 789454005, 153849960, 49183277, 521343073, 641020603, -1, -1, 440903613, -1, 137403849, 345676765, 467557822, -1, 218677661, 785840857, -1, 285614316, 427502299, 252228622, 848206683, 624797228, -1, 312355590, 710133991, 81814821, 860249249, 800396914, 805124494, 488334762, 234865874, 971248441, 56711163, 75526194, -1, -1, 272209081, -1, -1, 471698807, 324809687, -1, -1, 289875799, 284115143, 33752145, 332216579, 479999634, -1, 656412492, 270330427, 302529633, 272327888, 108539033, -1, -1, 527328657, 128814045, -1, 625002949, -1, 35790111, -1, -1, 172141790, 89750103, -1, -1, 830651336, 895751546, -1, 115028036, 921921968, 955224725, 264317742, -1, 98870428, 926484611, 509242781, -1, 258907386, -1, -1, 732893303, 600202946, -1, 459607234, 877495947, -1, 818391357, 638711763, 219094206, -1, -1, -1, 937236407, 450570736, -1, 879876423, 404734150, 309614748, 75410075, -1, -1, 671567810, 314622170, 742751789, 533679501, -1, 917338579, -1, -1, -1, 416614560, -1, 696058701, -1, 504304061, 286275181, 470047220, -1, 86980659, 612396924, 377866714, 213266599, 468362888, -1, 128345446, 570170689, -1, 555679301, 878028205, 65589008, 497806151, -1, -1, 253121626, -1, 157126390, -1, 942639036, -1, 339762637, 120853509, 556045823, -1, 29987862, 278132765, -1, 819824925, -1, 177176645, 466046575, 405222369, -1, 579946378, 577781209, -1, 847199861, 954883715, 517322274, 230688553, 983525888, 485497208, 782378549, 369781487, -1, 674171627, 327955858, 858348957, 742112446, -1, 742342407, 217974125, -1, -1, -1, 231670403, -1, 658631655, 516415741, 21889537, -1, -1, -1, 349142358, 867684429, 459854558, -1, 407637437, -1, 75294281, -1, 782701303, -1, 619804870, 896139933, 637967535, -1, 297766601, -1, 853051883, 800490247, 403006976, 934508304, 64794480, 513394812, 476851637, 275829663, 59247094, 78578390, 350092107, 592852602, 336307722, 752580171, 629991770, 813320918, -1, 682959557, 919624222, 349875030, 777451774, 78238727, 729662614, -1, 357256005, 192184796, -1, 493559606, -1, 101860493, 905021986, 664802791, 897560289, 211424910, 840637515, -1, 274597896, 353010968, 104860151, 913348999, 24843582, -1, -1, -1, 79045984, -1, 156139746, -1, 753250947, 504889174, 947077051, -1, -1, 89716611, 814951938, -1, 346105405, 4618988, 123625495, 98514471, -1, 101093408, 17641280, -1, -1, 92697285, 708269637, -1, -1, 23228164, 87605668, 130169242, 159336163, -1, 714267825, 63936948, 785438509, -1, -1, -1, -1, -1, 587186792, 644608338, -1, -1, -1, -1, 911265375, 32639438, -1, 882916696, 342568925, -1, 417783522, 482990570, -1, -1, 206760093, -1, -1, -1, 174139755, 161011945, 617781564, 565470576, 461101393, 864527968, -1, -1, 730518031, -1, 355645722, 458651971, 600782900, 102434762, 104107197, -1, 907873019, 69690658, 42834592, 238582348, 69091068, 126066389, -1, -1, 663313028, 757167951, 533660819, -1, -1, -1, 542630660, 29144602, 992215405, 145784124, 627856692, 89791439, -1, 544219990, -1, 69261852, 99200496, -1, -1, 697303308, 559726579, 242886279, -1, 143607521, -1, -1, 339407911, 592150602, -1, 135271238, 155897287, -1, 549364109, 433316628, 268669683, 321830849, -1, 48983211, 289957670, -1, 314754608, -1, -1, -1, 746704023, -1, 158641576, 688668481, 197386424, 636155529, -1, 427816042, 554025466, 281596146, -1, 95083706, -1, 97909534, -1, 577359863, 640949662, 451421478, 889736772, 597052800, -1, -1, 949311600, 120769797, 302594191, 726206038, 784282266, 441810390, 238937536, 574199561, 354289845, 568339306, 934506289, 329045898, 977898838, -1, 72553547, 971500703, -1, -1, -1, 216008188, 183753418, 33663666, -1, 662362988, -1, 446004805, 944321757, 57211784, -1, -1, -1, -1, -1, 975378476, 419244426, -1, -1, 57905965, 525586511, -1, 329183811, 881510648, 831447144, 300931921, 501081312, -1, 48629112, -1, 173446371, 573122787, 972910478, 977148836, 2167790, -1, 822261621, 460376111, 464824037, 329299246, 770457341, -1, 30055446, -1, -1, 320241957, 397806896, 687974422, 8188845, 818548258, -1, -1, -1, -1, -1, 131506728, 769741303, -1, 689947622, 950185741, 775810386, -1, 652774141, 263178338, 749990332, 370068707, 678390427, 64072412, 944132824, 963358178, -1, 704631470, 661167500, 282739511, -1, 752731160, -1, 623461108, 717961208, 313995426, 744289916, -1, 615723659, 315825076, 266258254, 910763277, 563385605, -1, -1, -1, 347596458, 890276125, 157520938, 113112862, 261703032, 352803408, -1, 224054344, 985598794, 494054411, 533112595, 508094220, -1, 886446239, -1, 504877574, -1, -1, 392636696, 583897719, -1, 674831362, -1, 221094348, -1, 210605891, 491635912, 599589957, -1, 417204109, 903296830, 463787933, 893793320, -1, 262437371, 743721750, -1, 484272890, 158633531, 158894167, 144601920, -1, 927531349, -1, 655077447, 637078417, 825245925, -1, 645472605, -1, 803138411, 216744269, 679337961, -1, 547877119, 909555209, -1, 117518986, 611421255, 504838451, -1, 737421866, 387349099, 443185608, 788417631, 497432182, 164912801, 576108296, 113049323, 484256724, 40815986, 655280190, -1, 46707979, -1, 617336388, 745279434, -1, 617093202, 452222917, 786850124, 915110691, -1, -1, 412625268, 303091955, 259018490, 395915530, 222602968, -1, 331857623, -1, -1, 235206714, 206242230, 191793853, 476022117, 484099157, 960318918, 199732223, 196787330, 974151806, 877538376, 172310012, 460427740, 489497314, 106376473, 483265375, 279063441, -1, 788917382, 967898854, 26789234, -1, 445051277, 101918962, 554625204, -1, -1, 313793304, -1, 965868375, 258728224, 386584831, 998860585, 118819429, -1, -1, -1, -1, -1, -1, 485688251, 256773796, 822397221, 414078606, 232255047, -1, -1, -1, 168203905, 384838194, 454759984, 592348054, 450666494, -1, 365686979, -1, -1, 888365259, -1, 374091015, 960207935, 509331915, 284635610, 814732688, -1, 353297617, 347947149, 693142212, 649547605, 473509073, 459391185, 438929094, 141283955, 860540820, -1, 823265165, 523677162, -1, -1, -1, 813810577, -1, -1, 903479855, 290562099, 804709404, -1, 311308963, 215492011, 858941107, 345712809, 63286461, -1, 892987188, -1, -1, -1, 751579245, 94653333, 414299399, 544471816, -1, 34010710, -1, 771271158, -1, 28486678, 777909804, -1, -1, -1, 344368967, 559004585, -1, 810275170, 398833476, 670637095, 558717216, 397556166, 428634167, 350360984, 995482294, 103602953, -1, -1, 180037195, 571610818, 930574834, -1, 903730623, -1, 634499802, 842665875, 215491158, 840664530, -1, 46085732, -1, -1, 630598752, 109267915, -1, -1, 950345204, -1, 558363883, 536385818, 721376751, -1, 88474204, 967688476, 261620611, 933218135, 868769816, -1, 440610182, 776725569, -1, 621235705, 468150795, -1, 820197703, -1, 34845092, 136261507, 465434806, -1, 154727823, 282828965, -1, 460242483, -1, 431344468, 48110502, 943595349, 712407056, 830584608, 865152566, 519765307, 633267744, 638868604, 696448179, -1, 688854433, 652680847, 201633200, 616975405, 181700608, -1, 807614653, -1, 996687838, 722665740, 182438196, -1, -1, -1, -1, 359225912, -1, 549556741, -1, -1, -1, 832541499, 6861548, 286749169, 123372733, -1, 486356664, 192609225, 344002279, 978969682, 554109349, 257801925, -1, -1, 772497991, 92122696, -1, 73518257, -1, 860657432, -1, 761421487, -1, 324166526, -1, 512463826, 171453150, 331558801, 851460387, -1, 60882117, -1, 869709634, 690059972, 709419189, -1, 685421092, 335149363, -1, 75379767, 199012164, -1, 753540152, 884872974, 357232611, 182682966, 948808505, 207072, 696098167, 32397509, 938153551, 497483418, 703366706, -1, 967057564, 501669168, 670417973, 417425390, 414321657, 818881112, 21508922, 88384887, 316772393, 870970408, 118383054, 416049742, -1, 673530896, 650662075, 51994860, 130802772, 628436453, 350731262, 353515304, -1, 622703840, -1, 297362528, 130199210, 388395559, 665044907, 312722194, 891086845, 30167624, 826212100, 470921296, 456043629, -1, -1, 834489379, -1, -1, 650982035, -1, 413335979, 669225631, 185520503, 377338103, 31854263, 208796420, -1, 132919707, 451196513, 27763308, 163787139, 787575528, 275670940, 795394581, -1, 479618094, 157344000, 820228692, 344897766, 449110417, -1, -1, -1, 180409353, -1, -1, 961687735, 385383154, 574746959, -1, 941529691, 221540346, 769042391, 473077917, 238112935, 705946750, 778764001, 942141885, -1, 599078722, 32688508, 761500331, 807559333, 814837134, 289286047, 897873359, 1222709, -1, 818313037, 409591365, 269398913, 18941804, 814479641, 678762564, 749424395, 127710289, 484978011, 973005129, 720159601, 454207952, -1, 143831636, 334436594, 974136879, -1, 381345581, 518465464, -1, -1, 335098439, 469660743, 867208622, 341160018, 590998566, 280218370, -1, 109371074, 463423649, 776656791, 748677945, 298762914, 957005425, -1, 692037742, 535092296, 10336183, 518830871, -1, 244302795, -1, 540107072, 241833157, 980926672, -1, -1, -1, 610373821, 299783904, 652306919, -1, -1, -1, -1, 384676422, 919813738, 597546569, -1, 952325967, -1, 39729937, -1, -1, -1, -1, -1, 312362590, 885773382, -1, 232768952, -1, -1, 930237416, 246666494, 673017878, 759141909, 718112171, 739980920, 883264500, 570972330, -1, 16298209, 278839271, 713138766, 259411287, -1, 539254941, 183270265, -1, 435956181, -1, -1, 89081001, 252069717, 245615529, -1, 957353249, 277784421, 507027725, -1, 633503014, 339391371, -1, 341001080, -1, 322915961, 51094050, 718521776, 735317613, 428585790, -1, 379974687, -1, -1, -1, -1, 567480175, 350900947, -1, -1, -1, -1, -1, -1, 533686359, 839963543, 212491664, 492442361, -1, 194464241, -1, 644063373, 169462495, 512132861, 358314945, -1, 339854779, 731619079, -1, -1, 923011658, 607663599, 393809616, 442717271, -1, 184738851, 345454223, -1, 365259526, 682003962, 658388160, 397339425, 862203450, 666122279, -1, 950660350, 132945601, 493554034, 574346101, 530250754, 736825967, 405813832, 167016686, -1, -1, -1, -1, 271955371, 629414081, 184372676, 379623715, 881059318, 800364541, -1, -1, -1, 583631943, -1, -1, -1, 992344076, 824702040, -1, 810664864, 803629409, -1, -1, 201262494, 773323977, 772466183, -1, 859210538, 636860436, 723487464, 566592040, 165169346, 64746434, 283731998, 819512666, -1, 273250777, -1, 363487441, 57596048, 200946771, 293983725, -1, 628249292, 584246899, 328929542, -1, 582714756, -1, 274933376, 633348746, 991328528, 869621499, 756715391, 184808725, 795845845, 942132903, 930568010, 283614826, 825369502, 764011286, 932210363, 581786246, -1, 990807833, 402738099, -1, 677101320, 989994927, 776266350, 499850863, 417704640, -1, 521790076, 556711770, 934919828, 972450565, 104644858, 966925479, -1, 84607646, -1, -1, 257172935, 553379071, 696510920, -1, 56394926, -1, 577148770, -1, 494040929, -1, 730566913, 742010720, 972364571, 895924615, -1, 127524048, -1, -1, 810175482, 284746152, 279042004, -1, 371285329, 336093543, 574259092, 214116066, 887423859, 429686449, -1, 141476602, -1, 84486710, 100075212, 185607134, -1, 397057884, 7609718, 473656471, 768283130, 515096296, -1, 647321535, 608327659, 779269819, 894385897, -1, 219193319, -1, 704440110, 206402819, 863301138, 763369011, 467988683, 899316869, 388864514, 501551607, 868082767, 394653240, 254551595, 165344232, 425410695, 405538281, -1, 832853730, 820294298, 949749175, 987655842, 667015776, 610084472, -1, -1, 742550131, 16474658, 484063552, 709592119, -1, 22424062, 840691305, -1, 411927496, 224623696, 514142449, -1, 357523592, -1, 972174406, -1, -1, 591267809, -1, -1, 811922742, 412586701, -1, -1, 41099668, -1, 365068114, 481344512, -1, 557527296, 142089822, -1, 191229654, 345532180, -1, 246215506, -1, 567107893, 382861185, 915705951, -1, -1, 80716747, -1, 638216364, -1, 339787682, 235554860, 226383964, -1, 868400582, 39833207, -1, -1, 551001811, 67287285, 641777318, -1, -1, 108544027, -1, 365808517, 334323991, -1, 80216335, 213965604, 344507250, 481341279, -1, 160370765, 109006662, 170015624, -1, 978758660, 69485662, 192859188, 22694362, 648502378, 728754870, 752964345, 715091603, 490994911, -1, 591258887, 571079873, 713149074, -1, 166691972, -1, 315581283, -1, 978213058, 399319520, 384319621, 123871937, 77875628, -1, 590746471, 669211061, 280822703, 97592661, -1, 636200268, 577097283, 586988018, -1, 513077971, 9819046, -1, -1, 490388014, -1, -1, -1, 434321418, 778098621, 914117272, 894550246, 395291644, 339696859, 250323266, 542158055, -1, 345056975, -1, 981741771, 516906080, -1, 49033031, 665031634, 399274050, 669727469, 223899702, 577588446, -1, 910505087, 664498568, 846866041, 295752980, 768477087, -1, -1, -1, 293386536, 311826890, 212525405, -1, 162620179, 69425846, -1, 199737973, 800010275, 463739495, 360353117, 453940421, 453003665, -1, 937975957, -1, 838323432, 604962138, -1, 408832576, -1, -1, 447436733, -1, -1, -1, -1, 537769029, -1, 899038782, 393649050, 803076932, 673885712, 1107295, 675558677, -1, 115652054, 129982757, 238187335, 280994137, 652138446, 494141075, 576207713, 830583616, -1, -1, 653314321, 378876777, 918732556, 893364124, 783575681, 73313195, -1, 990287487, 999239636, 178506142, -1, 911588218, 146308706, 501166287, -1, 228426755, 610104434, 739620438, 896602170, -1, 382941320, 468073438, -1, 1134789, -1, 711306295, 391918645, -1, 707598714, 791392632, 842808243, 494570189, 613544526, -1, 589529737, 564633016, -1, 844273125, 791268450, -1, 183239626, 380697440, 844485791, 995924441, 866374840, -1, 326795349, 564086019, -1, -1, 68433461, 837348576, 241204420, -1, 949295493, 816930469, 765319134, 141887901, 280767168, -1, 594887921, 222769621, -1, -1, 594754018, 480975572, 426009786, -1, 770494027, -1, -1, 346404686, -1, 260387307, 481274466, 730663471, 112768346, 111006844, 288059446, 85521811, 985971723, 314871075, -1, 818527160, 499612077, 725614368, -1, -1, 128860380, 791461372, -1, 856934875, -1, -1, 577543123, 939074195, 652840, 233769277, 157338998, 891130369, 830816090, -1, 242171030, 211243795, 401719280, 278969745, 457019107, 355241050, -1, 722919961, 575084278, -1, 58066803, 902575995, -1, 828495271, 39016063, 580036889, -1, -1, 512161194, -1, 200924170, 720618803, 434001501, 173603189, 309705387, 510376367, 434607502, 832631676, 611926915, 697250232, -1, 746888166, -1, 163492871, 678016903, 399991325, 729007907, -1, 443214596, -1, 870180076, -1, -1, 505239703, 760615006, -1, 554997336, 15745646, 745910413, 302685647, 130961151, 33939039, 419313226, 47402814, 342181171, 570717118, 246309890, 347398750, 650681044, -1, 12555092, -1, 60521400, -1, 599306450, -1, 196814132, 523807587, -1, -1, 721899019, 244236189, 266234319, -1, -1, -1, 871168342, -1, 309577858, 653492588, 705807177, -1, 584795197, 13008887, -1, 179688240, -1, 615419434, 639088224, 507819014, 194492768, 417477966, 598428099, -1, 274855297, 746534429, -1, 24048758, 739198820, 250302247, 998054110, 127529030, 435753899, 123797118, 140107154, -1, 870211923, 551546835, 746215219, 310454227, 114036313, 89085348, 904978719, 600291937, 320460772, 292157239, 682363713, 265398667, 569267423, -1, 93778937, 509100368, 478256978, -1, 495561088, 116351785, 245704042, 546918255, 878805119, 791309303, -1, 389758390, 455830834, 701145650, 75116847, -1, 182496894, -1, -1, -1, -1, 692876108, 958498202, 520319452, 290513644, -1, 650211717, -1, 184174330, 857626175, -1, 135601852, 444425177, 341177332, 254658517, 460559203, -1, -1, 84220117, 133209434, 68919397, 851564496, -1, 285360450, -1, -1, 764937962, 309200630, -1, -1, 48513861, -1, -1, 578592716, 510724548, 47380801, -1, -1, 444926312, -1, 26670280, -1, 524646991, -1, 365897850, 960479390, 11256198, 717423070, -1, -1, 241573744, -1, 353058960, 252815645, 24759043, 346974502, 724262761, -1, 654305787, 439273694, 416261330, 58503446, 972527325, 21677896, 922242374, -1, -1, -1, 61932833, -1, -1, -1, -1, -1, 542720328, -1, 104104006, 264408649, -1, 275726311, 358003693, -1, 13081565, 712746366, 531606496, 29876501, 23390269, 800191819, 832951898, 917350726, 788792430, 573303980, -1, 248764539, 409697101, -1, -1, -1, 687695455, 435585249, 839890806, -1, 450779816, 157808807, -1, 250291593, 49384343, -1, 377896587, 344097418, 850634340, 467385919, 874273098, -1, 241941476, -1, 868183578, 769872777, 144854359, 580252312, 357468723, 357059173, 29371914, 121035275, 502276419, 656203611, -1, 425022803, 767766662, 732821607, 739583396, -1, -1, -1, 230466153, 922748381, -1, 204907118, 66574781, 46953102, -1, -1, 203227300, 236840050, 194852193, 160171298, 440764198, -1, -1, 293406608, -1, 425759062, -1, 767485839, -1, -1, -1, 721503441, -1, 286537133, 610576117, -1, 922555084, 97926964, 638377369, -1, 91925541, 345880804, 912518885, 72743549, 454137202, 883273294, 706655715, 509400866, 927512639, 97849084, 692898095, 357749622, 294247967, 892967023, 639070103, 602190868, 205018620, -1, 708817994, 893644561, -1, 713967071, 290190815, 327470266, 915443803, 729400710, -1, 847014550, -1, 44082838, 335384005, -1, -1, 10810132, 717164490, -1, 445370273, -1, 57139305, 821730571, 90092979, 858691756, 728174781, 642579839, 265744266, -1, 542155777, 504519017, 105062881, 805746707, 165731560, -1, 390520871, -1, -1, 166253294, -1, -1, -1, 302810211, 805164976, 790132390, -1, 410912751, 48928123, -1, -1, 649703251, 732221722, 843214709, 991631481, -1, -1, 150111659, 233117988, -1, -1, -1, 140696544, 827003332, 676156625, -1, -1, 39019405, 83628425, 744623367, -1, -1, -1, -1, -1, -1, 892461524, -1, 156777521, 860209252, -1, 968066085, -1, 344645273, -1, 943093318, -1, -1, -1, 755610361, 281821061, 105066855, 894283713, -1, -1, -1, 867911454, 511096698, 279844232, 976993910, 370302068, 692016228, 794097707, 380072642, 14332477, -1, 157738418, 543805568, -1, 320319145, 9225327, 30781570, -1, 626499496, 886989757, 761216662, -1, 199178949, 318902662, 375396951, -1, 700125065, 439408401, -1, 253970539, -1, 298913935, 639833307, -1, 533917553, 135515423, 840714632, 532177715, -1, 643284663, 409662083, 974180014, 23272226, -1, 564816798, 552662103, 79151651, 522362680, 638874339, -1, -1, 438815988, 815320069, 353326669, -1, -1, 148952027, 536963207, 684266009, 86102148, 442435965, 569920465, -1, 63959685, 531164726, 593270546, 438331590, 179455951, -1, 738445397, -1, 375501860, -1, 551815928, 265956025, -1, -1, 861979555, -1, 56393290, 641734190, 462917711, -1, 480348069, 366857961, -1, 494822680, 960026850, 575130163, 67277214, 113950044, 397553612, 295030982, -1, 863379271, -1, -1, -1, -1, 178399584, 227007381, 222593911, 18190489, 407943838, 606388873, 514318373, 988524677, 839159530, 156142777, -1, -1, 581345460, 677063933, -1, 456173527, -1, 48588043, 942810669, 297312725, -1, -1, -1, 335010837, 836932189, 743631533, 901418325, -1, 614641164, 232133166, 905789029, -1, 339481972, 785894727, 223537231, -1, 839017907, -1, 139971510, -1, -1, 144966661, 698832204, -1, 488733247, 596850371, 146332446, -1, 916296383, 564182875, 407870218, -1, 338482117, -1, 438244225, 440331901, -1, 530696316, 201369657, 898557879, -1, 126470807, -1, 294209735, -1, -1, 520909469, 137061663, 860278138, 646953847, 141411701, 653383407, -1, -1, 796179105, -1, 496905478, -1, 22942778, -1, 268574319, -1, 781246797, -1, -1, 570222968, -1, 92702038, 921349586, 641758813, -1, 943785284, 136311487, 798237742, -1, 70759536, 441672531, 317839652, -1, 210489040, -1, -1, 818281648, 654852708, 806651355, 870434675, 987908901, 723925012, -1, 31456313, 985774993, -1, -1, 210778427, 269307878, 981485579, 500922177, 328245937, 429716451, 665879373, 166451898, 512324110, -1, 390241775, -1, 892868726, 204830932, 191251378, 269896936, -1, 259444203, 25691165, -1, 362766323, 532905105, 41846607, 398567042, 815607011, 444141478, 746840627, 522883026, 585892461, 517603340, 851410952, -1, 717576646, 90250178, 318506066, -1, 22590044, 220247388, -1, -1, 411912821, 802356400, -1, 539817085, 243831684, 803194011, 136150871, 547471678, 762379374, 94416849, 322688759, 204767019, 170778657, -1, 964701056, 273640725, 812762206, -1, -1, 465234654, 489425012, -1, 897942428, 402505336, 216758508, 644528393, 629276750, 747972161, -1, -1, 827818708, 882446199, 946858194, 604431258, -1, 661289522, 864299064, 541195495, 24249853, 422219908, 787434924, -1, 689950351, -1, -1, -1, -1, 814501560, 671649113, -1, 239683811, 774076462, 504824620, 655705365, 940005386, -1, -1, 310360814, 852926410, 376162653, 921248307, 210606250, 46274864, 471195278, 966842231, 146515863, 136102955, 17704034, 466686231, 125303227, -1, -1, 495698081, 355120216, -1, 345200545, 634664277, 266625075, 930055069, 468081093, -1, 733259023, 552681039, 661876920, -1, -1, 411291866, -1, -1, 589253462, 771195017, 362346816, 224348454, -1, 303695535, 899707475, -1, 684887113, -1, 24307289, 493335723, 127227943, 628300971, -1, -1, 133717091, 217554746, -1, 462903955, -1, -1, -1, -1, 97853560, 98476157, 666625241, -1, 270301783, 807761535, 212647072, 518505536, 217988115, -1, 465693047, 974318355, -1, 968236242, 500295907, -1, 846763447, -1, 409364378, 529647949, -1, -1, 109759123, -1, -1, -1, 860135706, 583679763, 775005488, 913413538, 644666500, 102963890, -1, 439845621, -1, -1, 418417711, 386244208, 858866470, 546231294, 813210675, 924292212, 520910056, 519103809, 856252220, -1, -1, 689618991, 199804807, 538157214, 968134311, 303367205, -1, 790157235, 104418292, 397379200, 676725557, -1, 917707560, 846324036, -1, -1, 737991679, 933795351, 443340840, -1, 241490389, -1, 88080602, 498754678, 810233136, -1, 733756175, -1, 145516017, -1, -1, 121081828, -1, 47764085, 401059733, 215064673, 540231543, 377154498, 833942636, -1, 730805118, 504905400, -1, 700380338, -1, 708723830, 263076431, 276174311, -1, 275190038, -1, 119095380, -1, 368602739, 309496275, 958475350, 750909181, 134234436, 793420836, -1, -1, 998957833, 163924048, 83624024, 778583428, 234048248, 485895782, 187775628, 182620627, 39235496, 522212098, 930854842, 412831826, 700853754, -1, -1, 932452097, 347189968, 22449973, 429347049, 997130260, 952208350, -1, 797528586, -1, 952224989, -1, 310119913, 829379742, 597474075, 659711090, -1, -1, -1, 725991300, 860702823, 877750765, 436805596, 83047091, 61905287, 91305871, 966247091, 879619555, 83075149, 913042872, -1, -1, -1, 180674362, 248454475, -1, 795093365, 996024251, 128796044, 127369836, 349575745, -1, -1, -1, -1, 558239944, 893703792, -1, 17204141, -1, 749325797, 34217266, 135136570, 702972559, 268615086, 835869275, 430963810, 320905668, 402183404, 802709447, 17681194, 940993545, 381075764, 250127976, 315346083, 535329740, 795233731, 401319806, 369572377, 388302679, 788159736, 120127011, -1, 330050187, 601657397, 403531202, 38115014, -1, 232372073, -1, -1, 214718797, 239859265, -1, 642096687, 238140869, 58161688, 251815102, 838940881, -1, 563840388, 735898475, 476000460, 312428869, -1, 294250346, 376438962, 839453407, -1, 137707003, 439950719, 437568398, -1, -1, -1, 766795057, 337872536, -1, 879137052, 789564880, 532266339, 816331633, 101100648, 13402628, 527975805, 37129917, 48567598, -1, -1, -1, 42978123, 830527669, 105187543, -1, 222764807, 804748261, 542615020, 456435398, -1, 881698834, 591879242, 862099123, -1, 368398626, 809485578, -1, 275639467, -1, 791839242, -1, 583716197, 617598005, -1, 469311606, -1, -1, -1, -1, 152729229, 423380682, 133131274, -1, -1, 948793203, -1, 100291615, 913653020, 291559372, 634429768, 129083742, 915874959, 599342789, 191172093, 265273344, -1, -1, -1, 7563876, -1, 769774093, 380989752, 433037500, 529808571, 117003757, 601255434, 989890474, -1, 102862541, 926692308, 81877013, 110826581, 52079325, 944020166, -1, 673065254, 580055475, 378701297, 301517774, 472047168, -1, 243086880, -1, 83430554, 221373215, -1, 784021944, 235187119, 263648831, 38497336, 134476674, -1, 682239720, 94386245, 671246203, 844643008, -1, -1, 362508991, 95622747, 431983738, 807306776, 422301129, 64111434, 54300081, -1, 468386045, 138903737, 659619589, -1, 186077440, 32985688, 165380300, 589809576, -1, 745341621, -1, 722904599, 300385986, 943869817, 6967700, -1, 621619701, 894069920, 121997953, -1, 633767715, 769122996, 277974605, -1, -1, 72909200, 609350046, -1, 99017037, 349271986, 964883029, 919545246, 279032988, 240442242, 927442130, 994339090, 674393131, 168668215, 720650995, 316442099, 933457653, -1, -1, 641750405, 89810485, 63214650, -1, -1, -1, 224160718, -1, -1, -1, -1, 129795455, -1, 902863776, 719386755, 588042621, -1, 58890438, 925169609, 912498124, 291746657, 161942396, 481384541, -1, 253623250, 990710936, 461335566, 569855667, 544017904, 774752698, 447624503, 121035394, 6545285, 823221937, 789490050, 770157587, -1, 989449727, -1, -1, 684035381, 806986320, -1, 294359602, 42941821, 993639463, 267735931, 896456034, -1, 141825517, -1, -1, 279201517, 812395450, 418447895, -1, 918252693, -1, 436623767, 617663955, 224873504, -1, -1, 762170781, 575088930, 944883923, -1, 465283860, 35313140, -1, 199585740, 740171495, 664660212, 2346991, 707358304, -1, 583613704, 205984721, 333081865, -1, 636697893, -1, -1, 917352943, 591025326, 599823225, 947384605, 303008104, 565370002, -1, 429173859, -1, -1, 793283354, 784248504, 57516718, 761749014, 452704444, 290596962, -1, 755929648, 879432275, 400489304, 864613770, 728791830, 905733345, -1, -1, -1, 572487491, 46645300, -1, 150692277, 809454385, 819370967, 269503513, 86658603, 976715178, 366943502, 553698745, -1, -1, 500558946, 808123033, 999388813, 57532675, -1, -1, -1, -1, 600086532, 548372146, -1, 58287459, 264801804, -1, 993531572, -1, 377126870, 263591993, -1, 330547805, 63287510, 776912550, 529536742, 143499657, 863535849, 271990193, 306188866, 139933509, 338663245, 291307164, 28307451, -1, 911816549, 127180186, 175394136, -1, 372505870, 524453067, 858500553, 931080003, -1, -1, 869006000, -1, -1, -1, 634826433, 662931486, -1, 854959187, -1, -1, 333778421, 771040531, 864846430, 202235413, 416856387, 640712061, 594723432, 789529262, 197124400, 199682085, -1, 449581233, 887031355, 701422419, 864305610, 210421482, 250192001, 878729907, -1, -1, 270298549, 273805590, 15574365, 982569311, 379141351, 829835655, 208574446, 374838871, 969721441, -1, 743742429, 668900313, 113460878, 512474815, 16146770, 98164206, 715589460, 984633130, -1, 34587190, 219006384, 797248640, 227171116, 887525540, -1, 168097893, 348605702, 406172595, -1, -1, 711804312, 634872862, -1, 405648557, 437341500, 372656387, 590035409, -1, 203348766, -1, -1, -1, -1, 327998196, 823013350, 958652773, -1, 21272428, 743590130, -1, -1, -1, 422153725, 272041872, -1, 458134971, 551746254, 434208363, 844761978, -1, 484966986, 458265649, -1, 706174362, 243797713, 284908180, -1, -1, 340377344, -1, -1, 263316420, 161663263, 691253264, 46212457, 525963173, -1, 893572331, 176240374, 981746433, 400493633, -1, 168480044, -1, 369240218, 523254410, 679306188, 146229757, 670698197, -1, 347796367, 141436515, -1, -1, -1, 665146398, 532710276, 809998173, -1, -1, 864844074, 835381874, 812699980, -1, 605040232, 751525514, 640501990, 898215545, 504377039, 677978767, 841718582, 670976630, 786098558, 535169171, -1, 381007467, 449981906, 315254244, 450285833, 572788864, -1, 885991734, -1, 648627981, -1, 356499555, 822326509, 50504728, 375498006, 481781317, 206251439, 2718668, 477217825, 467747427, 665713404, -1, -1, 280327143, -1, 770418826, 457310777, 219752128, -1, 89889240, -1, -1, -1, -1, -1, 311492034, 692771017, -1, 885949449, 229606652, 991114504, 890410599, 487564298, -1, 61524110, -1, -1, -1, 415719372, 647318359, 803097762, -1, -1, 580559593, 428553328, 157757878, -1, -1, -1, 280003078, 965142890, -1, -1, -1, 736066825, 749769737, 168013473, -1, 455479399, -1, 756493201, 101004767, -1, 587320145, -1, 827482485, 612556178, 181446557, -1, -1, 225456961, 581044892, -1, 216813226, 180701489, 75821982, 852825142, 958322249, -1, -1, 242912847, 156956796, 367636340, -1, 223056786, 627996124, 304018157, 289565848, 875426085, 220033039, -1, -1, -1, 497938170, -1, -1, 49112762, 257373407, 931965683, 312235099, 252724395, 322563330, 498488151, -1, 135912755, 474603372, 965655520, 584617078, 347920465, 966442314, 942832143, -1, 803345072, -1, -1, 473505115, 215086547, 779414740, -1, 798391412, -1, 391265471, 661982287, 174452406, 98431156, 33157409, -1, 427180299, -1, -1, 937457402, -1, 279227521, 199174308, 36532797, -1, 531881951, 884565920, 771619637, -1, -1, -1, -1, 991554101, -1, 198868542, 421463659, 319444461, 777659025, -1, 563814575, 179016583, 297435329, 496625364, -1, 519389820, -1, 194787505, -1, 692975887, -1, 788615297, -1, 671753791, 813808256, 141030001, 825692993, 663243097, 974619576, 862936047, 665778668, 754493808, -1, 660057614, -1, 127424318, -1, -1, 389731716, 494868234, -1, 569831674, -1, 19021266, 997121563, 136586381, -1, 375853528, 159798031, -1, -1, 611580422, 366331686, 438828995, 431846620, -1, 458104414, -1, 953196869, 588652626, -1, 684490332, 749870469, -1, 836419187, 392741091, -1, -1, -1, 400828681, 562195855, 610752162, 861288928, 45216642, -1, 637127625, 853237485, 921337205, 199263085, -1, 536128761, 738987628, 352310710, -1, 951480219, 325348391, 900266793, 824132668, 138371883, 260325024, 953490562, 711694551, 376930529, -1, 443787296, 931932590, -1, -1, -1, -1, 298124373, 511966697, -1, 402148006, -1, 457509193, 290098286, 365616923, 129226744, -1, -1, -1, 780816643, 234584368, 311730379, -1, 704595142, 565184241, 811363744, -1, 143287006, 886407873, -1, 354076388, -1, 103469201, 949582552, -1, 788143427, 282097861, 567710833, 16312283, -1, 388101033, 36996111, 484456899, -1, -1, 941063833, 353940464, -1, 158466561, 448274114, 359088807, 495443788, 355691681, 235042710, 973793451, 995289176, -1, -1, 416613548, -1, -1, 714275216, 833221767, 235681309, 666809373, 147354398, 865739692, 303276926, -1, -1, 311849670, 396375300, -1, -1, -1, 22965358, 176647421, 363680262, 745513676, 254283004, 6427485, -1, 280833411, 615327863, 63050549, -1, 381593046, 305020155, -1, -1, 57211477, 819701126, 93228346, -1, 259266065, 860827961, -1, -1, 795501761, 729492767, 610699231, 33580870, -1, 364399563, 983116867, -1, 562420797, 37798240, 536800613, 750067881, -1, 19102782, 326134620, 208714813, -1, -1, -1, 113811797, -1, -1, 318234956, -1, 117595350, 189772187, 965492809, 801602814, 837590921, -1, -1, 751596471, 323833651, -1, 158343418, -1, 50206293, -1, -1, 772400882, 467312194, 827370688, 943237074, 850039273, 167619987, -1, 88202833, 554645999, -1, 563839901, 336004731, -1, -1, 657623741, -1, 271879987, 212680118, 731206583, -1, 448567696, 935489611, 855750917, 956898067, -1, 928714143, -1, 225833791, 447105911, 218708528, 293082668, 144179959, -1, 191169306, 665578816, 452379586, -1, 647860220, -1, 181846880, 626366781, 253775347, 429054872, 950244421, -1, 653924745, 130847222, -1, 894657403, 33479121, -1, 735494532, -1, 627637825, 184300794, 255104607, 708019429, 665101352, -1, -1, -1, 134716257, -1, 921964020, -1, -1, 281861835, -1, 657870732, -1, 171542908, 535670039, 302614458, 254790041, 826865832, 35284502, 905632804, 815197455, 640278179, 119797792, 733286157, 272933226, 577355878, 800482888, 791408723, 429897952, 947526912, 423731107, -1, 933327846, -1, 737445537, -1, 382612946, 289304049, -1, -1, 106982028, 160370965, 435605966, -1, 488956492, 775658222, -1, 625263965, 480437597, 947159786, 314195869, 92065458, 201606073, -1, -1, -1, 621331461, 720942581, 74431230, -1, 26643054, 262922953, -1, 615599352, 200465620, 813695771, 404640843, 732504249, 411295971, 519437774, 619648865, 126193277, 548687099, -1, -1, 32177348, 520657358, 223864754, 552359976, 52291872, 632789130, 799954500, 283779880, 866690353, 581623747, 684197443, 919112446, 74592607, -1, 821440325, -1, 25640238, 482207896, 423323716, 768209207, 288243551, 216521439, 473871943, 739445161, -1, -1, 370155594, 93508545, 423490606, 736479352, -1, 154089823, -1, 10356443, 378081645, 356128269, -1, -1, 74494638, 609842325, 438417257, 295710595, -1, 173117843, -1, 492246189, 767731630, 917460294, -1, -1, 497048721, 444958267, 189505043, -1, -1, 298231014, 780254673, 707008369, -1, 240042343, 387682474, 21005729, -1, -1, 211850112, -1, -1, 124011797, 450865627, 765417128, 480935860, 447919108, -1, 905782491, -1, 98558805, -1, 661629524, 312218358, -1, -1, 467013030, 190092561, 688948428, -1, 433931263, 328006454, 887485094, 865051493, 435113546, 323488978, 556003616, 421822670, -1, 436369246, -1, 579084724, 665355891, 966494386, 420845803, 742464845, 179129849, -1, -1, 655909570, 363188895, -1, 175764312, -1, -1, 972014039, 744930857, 814889448, 150359, -1, -1, 760956197, 29193577, 242123913, 55058322, 366835397, -1, 682725515, 285248023, 566812417, -1, 200402827, 789958674, 489446975, 220868178, -1, -1, -1, 327499231, -1, -1, 75962693, -1, -1, -1, 487501483, 873099753, -1, 325530811, -1, 615185046, 16822787, 495442310, -1, -1, 93961669, 962686374, 173882518, 455166888, -1, -1, 557285689, 615596332, -1, 854783369, 962888856, 60340736, 230931171, 320353231, 522734492, 864207578, 760742269, -1, -1, 240283604, 900867446, 476078596, 230762353, -1, -1, 832667006, -1, 223081632, -1, -1, 512270351, 7482283, 937013092, -1, -1, 592964080, 135508459, 120825819, 301362593, -1, -1, 129974211, 704188985, 551767163, -1, 244086143, 664490166, 667203965, 357380816, -1, -1, 449030522, -1, 372910472, 11232755, -1, -1, -1, 605315061, 671308932, 245148682, 224035351, 655201812, 366775819, -1, -1, -1, 630902289, -1, 156287310, -1, 113044914, 382178951, 358521748, 722955954, 70679715, 683143909, -1, 791446071, 76296312, -1, 164215944, 952100864, -1, 27571229, 545719534, 870699134, 600924684, 280537589, 384571071, -1, 424966439, 163821850, 676701510, -1, 432947869, -1, 568082596, 514273950, 557101590, -1, 356965178, 459006454, 503333491, 672979681, 687262735, -1, 53884614, 257443428, 970036791, 863262345, 90441201, 217382772, -1, 26419262, -1, 414722027, 256976141, -1, -1, 45977825, -1, -1, 784582369, -1, 147709479, -1, 287965008, 858852063, 186288768, 639910709, 990229795, -1, 207939975, 653954, 748231493, -1, 484731937, 781120449, 9626679, -1, 337773198, -1, 108137548, 136203157, -1, 738066914, 246818715, 540399928, 877902326, 431427197, 118218447, -1, 687092822, 628484120, 629942803, 324402574, 770489960, 341469155, 325495465, 475241803, -1, -1, 394754897, 51484987, 962014231, 844688279, 831637126, 292143800, 688975174, -1, 146403554, -1, 354802838, 935007710, 542035474, -1, -1, -1, 228437325, 627934713, -1, -1, 929019810, 818010699, -1, 686879968, 707136171, 690228268, 159569891, 402041901, 909747758, 729499010, 32560029, 359318865, -1, -1, 551083992, -1, 53529099, 523729665, 975509299, 963502731, 109559581, -1, 340090130, -1, 539922263, 895488915, -1, 16437392, 908046858, -1, -1, 742841915, -1, 552448493, -1, 387884803, 872850039, 307594371, 343020643, 689897007, 700885308, 570976505, 339327425, 727357528, 699614270, -1, 286273733, -1, 802434699, 165093280, 566423933, 852209594, 586336663, 963362513, -1, -1, 353459408, 928753633, 564960989, 20231433, 453413159, -1, -1, 912078756, 784016618, 66000956, 643499186, 828822765, 629770591, 552955374, 469019177, -1, 788410766, 354616808, -1, 105454094, -1, -1, 471205484, 772129847, 733045996, 718506901, -1, 320956178, -1, 111110744, -1, 88818427, 550450471, 500718127, 824084148, -1, -1, 480160811, -1, -1, 276319374, -1, 905808645, 261478166, -1, -1, -1, -1, -1, -1, 595289593, 886111151, -1, 506659802, 614577583, 489321712, 433671577, -1, 852513605, -1, 89914749, 595325920, 43980283, 148800512, 277076191, 743163937, 116836428, 912647543, 688705020, 264034096, 994193034, 677718264, -1, 622807270, -1, 764425482, 66106688, 750498344, -1, 774503769, 237373412, 53610205, 185097033, -1, 173841518, -1, -1, 506030326, 310182016, 319025562, 528393763, 127208761, 643569636, -1, -1, 709201817, 856778871, -1, -1, 250708616, 23114675, 846025631, 51326210, 289162473, 42065347, 987062581, -1, 908555877, 118964383, -1, 649343556, 690224659, -1, 890549712, -1, 149473812, 376497789, -1, -1, 535574377, 876384627, 121558753, 767456226, -1, 896990482, 774058340, -1, 274725708, 155986901, -1, 572592647, 274805465, 928371196, 233258812, 937254637, 180685635, 800062413, -1, 429371366, 486087804, -1, 384679000, -1, 979281711, 275567320, -1, -1, 258703305, 558880637, -1, 773473317, 594795726, 102321858, -1, 536297477, 192983387, 966151268, 636637576, -1, 170935754, 603945261, 704664696, 769655904, 738971640, 918522769, -1, -1, 456342762, 876192278, 69576616, 445410431, 627599873, -1, 964597181, 804789741, 601062736, 516677976, 949168898, 790709855, 77492092, -1, 209073549, -1, 833881740, -1, 728476807, 596853876, 959591440, 770246952, 832181727, 764294730, 693445954, 772665248, 655840784, -1, 868552093, 207117899, 616509749, 720828155, 372673984, 915236363, 436759919, 287085627, 986126387, 815960198, 1857148, 223514389, 522722815, -1, 751424230, 521170326, 872737912, 319276042, -1, 291700337, -1, -1, -1, 55193932, -1, 395872855, 551653216, 815609088, -1, -1, -1, 343928260, 852264492, 905465649, 990117499, -1, -1, 21842642, 562504860, -1, 623172168, 122120325, -1, 856836670, 184309950, 145004648, -1, 3346728, 50702099, -1, 386089966, 929708045, 730331892, -1, 532179354, 487334365, 44962485, -1, 926191176, -1, 202245468, 80968352, 273988238, 811500581, 843504142, 366406848, -1, -1, 819072983, 803582986, -1, 786875586, -1, 405833467, 753210148, -1, 947247664, 270691918, 772666333, 630822580, -1, 992009330, 878849055, 319544054, 914649853, 711705108, -1, 967567132, 71265879, 99486373, 177062439, 901502316, 354520455, -1, 132868888, 348208279, -1, 61440207, 317996960, -1, 339174717, 500005033, 5383027, -1, -1, -1, -1, 318087222, 930554789, 630898173, 442067753, 855842860, 678312710, 909402756, -1, 561292976, -1, -1, 438124072, -1, -1, -1, -1, -1, 14497778, -1, -1, 710524513, 293246371, -1, 712928131, -1, 975092142, 241451308, -1, 44464954, -1, -1, -1, 877190100, 346980571, -1, 896922037, 133980750, -1, 698970308, 245192511, 865979781, 469631794, -1, 102214708, -1, 509071908, 57966830, 733911536, 237881723, -1, -1, 220986629, 373936804, 655561046, 989702152, 83326886, 219001677, -1, 1500008, 508136368, 381739901, 461644258, -1, 918489570, -1, -1, 818905864, 675579976, -1, -1, 423524498, 87862958, -1, 450035441, 285913927, 782967819, 931843680, -1, -1, 142904973, 638486216, 626815193, 984766411, -1, 317982843, 333583572, 346222362, 25308583, 269041269, -1, 72247185, 22689032, 427560850, 750355708, 977400238, 92640267, -1, 309800301, -1, -1, 619882823, -1, 709670638, 765199832, 642043937, -1, -1, -1, 954106389, 979810871, 608487333, 538210325, -1, -1, 263464464, 562692179, 542246290, -1, 714937803, -1, -1, 219617888, -1, 531813194, 949477859, -1, 457097211, 344130016, -1, 397795730, -1, 590302213, 34239404, -1, -1, 943343798, 964087080, 120324063, 316147705, 625220445, 442639120, 278640376, 239529974, 931621831, 902939710, 607960761, -1, -1, 200885789, -1, -1, 284220480, 29977423, 834386197, 270464727, -1, 392859606, 533263784, -1, 329551626, 857844880, 437373765, 400871608, 710567444, 524143637, -1, 699878481, -1, 926037651, 614186325, -1, 475968334, 825756038, -1, 751054731, 903497490, 602889934, 500677897, 22919822, 658161584, -1, -1, 685734978, 420169807, -1, -1, -1, 961377141, 936568959, -1, 940843840, 844061051, 260756827, 700829750, -1, 487678644, -1, 912060499, 172365782, -1, -1, 99399451, -1, 264340836, -1, 902482005, -1, 182031980, 746030805, -1, 521564364, -1, 780823350, 861589049, 4705334, 500168361, 931868918, 227008339, 487922993, 236518317, -1, 517614076, 337427730, -1, -1, -1, -1, -1, -1, 786104907, 477439364, 270806337, -1, 716456335, -1, 62992210, 908775002, 403129830, 550372683, 328229727, 626597337, -1, 388900806, 999890020, 480197785, 890420689, 369240352, 174078018, 198419332, -1, -1, 477404916, 738489371, 802165221, -1, 878887490, -1, 731885933, 49409146, 251976178, -1, 714139946, -1, 309347334, -1, 811388995, 58509779, 511493263, -1, -1, 350845517, 640817441, 961774997, -1, 147498232, 456297821, 855502788, 413887396, 923423538, 802227237, 419719873, 599425572, 798408425, 426864705, -1, -1, -1, 152571816, 313599696, 562954669, 556503842, -1, -1, 686598991, -1, 468114310, -1, -1, -1, 238711141, 440842445, 611642165, 228785701, 243693583, 540684965, 807593652, 819728207, 227588809, 310840183, -1, 729604219, 636193174, 161177963, 248726365, 514731916, 441730046, -1, 67189187, 755233567, -1, -1, 434577538, 15051243, -1, 773942260, -1, 692499846, 74508667, 777089038, -1, 579836136, -1, -1, 609932023, -1, -1, -1, 461509339, -1, 675048328, -1, 751618623, 548068759, 708654458, -1, 42841922, 950080120, -1, -1, 394562065, -1, 369937857, 494104752, 978224207, 182907636, -1, 620311751, 53688274, 491891570, 6653929, 495641384, 70393009, 857664996, 522855645, 278006869, 322708400, 180386276, 999729480, 66886316, 194057631, 462273872, 902620584, 119605659, 13264706, -1, 252686568, -1, 76348227, 777479194, 622744053, 328908974, -1, 809302696, -1, 876795190, -1, -1, -1, -1, 284247508, 756546713, -1, 414725364, 52052281, 199882847, 376526993, -1, 580145516, 298385612, 717780209, -1, 997353811, 579149703, 12252470, 715117557, 64155050, 819174252, 10488212, 522062642, -1, 862406254, 460756555, -1, -1, 293175381, -1, -1, 275610602, 532674218, 240666984, 889624390, 465823156, -1, -1, 100595205, -1, 17255865, 624029775, 364539724, -1, 207883610, 396448619, 713622512, -1, 993591733, 249519912, 774564375, -1, 569438270, 447885060, 98406732, -1, 348732968, 367218230, -1, 757368270, 315039494, 156348778, -1, -1, 926519395, 807849068, 245918785, -1, 454494848, 952074911, 345751244, 169263586, -1, 26989698, -1, -1, 587331945, 668475488, -1, 766542816, -1, 290359697, 861489503, 751583033, 341561135, 489519091, 577619930, 683612106, 301176716, 955072467, 120989247, 718822182, 52950545, 127619919, 715077487, 203478796, -1, 91736514, -1, 158032276, -1, -1, 159854643, -1, 871473987, 455068423, 173168758, 455862679, 947940412, 869338642, -1, -1, -1, 805373647, -1, -1, 894649627, 302784580, -1, 432700643, 770006584, 282645711, -1, 465120140, 518939098, 290284959, 525301786, 762736448, 253200288, -1, 101826496, -1, 41877416, 135797209, 201039601, 180116568, 843769344, 373971252, -1, 149542910, -1, 453573347, 348841521, 413406793, 939700936, 589775818, 182735609, 910099735, -1, 351917983, 201284583, 912697784, -1, 514665164, -1, 520384341, -1, 244891841, -1, 26179184, -1, 743385127, -1, -1, 810757116, 678471798, 894986412, -1, 458352157, 459951959, 809057572, 436654299, -1, 595463763, 233927289, -1, 656095832, -1, -1, 920121035, 185797453, 651842849, 920718415, 824206667, 602203524, -1, 484730888, 164964571, -1, 482725592, 699125247, 50236691, 634952455, 399846961, 493725305, 373183348, -1, -1, 72614836, 368377699, 368521793, 545963063, 488480140, 131054901, 714521287, -1, 17583884, 900206525, 586967919, 997347877, -1, 313730793, 612976288, -1, 31247748, -1, 831702199, -1, 838653875, 93930754, 732510353, 455181155, 492363345, -1, -1, -1, 471738826, 340104352, 633898889, 308673394, 514891992, -1, 719205942, -1, 253116389, 928285988, 441633804, 502717452, -1, 450338721, 893379273, -1, 450100178, 619211087, 119397597, 291574224, 984974100, 382378939, 979019104, 346745452, 966882459, 356235012, -1, 541408204, -1, 158865604, 134156728, 818105957, 816266449, 297627667, 50264850, 89345149, 102187370, 195889048, 863149334, 984052644, 146384148, -1, 472643394, 941102978, -1, 973396281, -1, -1, -1, 27644208, 113750084, -1, -1, 486328297, 143265975, 390316128, 311865113, -1, 970746202, 224218797, 902836668, 150413805, 295222503, 248568994, -1, 52117499, 678340825, -1, -1, 731329782, -1, 210918172, 669600710, -1, 945221010, 637746872, 605746715, 329180803, 970798214, 886527007, 335734350, -1, 791395599, -1, 439790320, 49905386, 330519777, 647771527, 412448759, -1, 639848607, 382295560, 466848608, 281846585, 122251411, -1, -1, -1, -1, 303962603, 505011687, 439032299, 66860453, 74031654, 43643207, -1, 835353895, 294972190, 925712310, -1, 51918433, -1, 353966432, 932428375, 400495129, -1, 720597558, -1, 12662401, 638344440, -1, -1, 79916271, -1, -1, 63363756, -1, 324455705, 976222810, 874196423, 646581807, -1, -1, -1, 417543789, -1, -1, -1, 351785415, 871827787, 811307282, -1, -1, -1, -1, 837537113, -1, 518337589, -1, 863275303, 859713713, 402142039, 772651859, 351359116, 176072710, 554303536, 461945624, 939539923, 223204409, -1, 798214599, 410074447, 375979550, -1, 540821314, 696016227, 420925843, 778868465, 505893075, -1, 708541116, 232612517, 421712101, -1, 325152504, -1, 400226020, 873204670, 952972973, 721616987, -1, 38644047, -1, -1, 929271991, 915988173, 287385793, 938112557, 429729430, 484242502, 28149909, 903709313, -1, 153385846, 527691035, 130909510, 607272702, 45699181, 578142666, 740892375, 339497605, -1, -1, 995317291, -1, 953936050, -1, -1, 398054324, 88904704, 804593616, 602196036, -1, 378025051, 654566231, 898310659, 270656558, 975661629, -1, 812706021, 844700577, -1, 894203557, -1, 363585458, 327328063, 6289297, 568170939, 125435068, 980726723, -1, 242232578, 512276351, 99556057, -1, -1, -1, 131105535, -1, 130312347, 695221138, 498240098, 325059196, 600826822, 688594894, 36883935, -1, 335637093, -1, 189676419, 252936330, -1, 189480644, 31895074, -1, 911816103, 876193572, 619603806, -1, 156210002, 23142620, -1, 908552222, -1, -1, 269587457, -1, 540411857, -1, -1, 256904383, 24302742, 479442119, 320573441, -1, 528209122, 764077943, 992483711, -1, 985902060, 655686065, 473791404, -1, 599795167, 317773317, 587495908, 675338781, 886835281, 256182816, -1, 289486935, -1, 306831989, 814022012, 573915741, -1, 812622287, 284434448, 843903808, -1, 158749046, 560106015, 276449086, -1, -1, 865417180, 917747677, 567713867, 455220766, 634557514, 217459052, 433955327, 281026561, 13610863, 663885382, -1, -1, 159845855, -1, 854841178, 351660050, 425126040, -1, 356959958, 290535019, 446439720, 960308294, 703907802, -1, -1, -1, 565997565, 989057826, 2336848, 620589393, -1, 703202686, -1, -1, 69599053, 341599507, -1, 403547999, -1, 888079068, 966340741, 627936130, 228539704, -1, -1, 984327722, 935182824, 746011286, -1, 502823703, 945412984, 794760524, 833973175, 775801795, -1, 908396966, 296459980, 68239565, 377463607, 255963148, -1, -1, -1, -1, -1, -1, -1, 821581469, 482043551, 444661236, 847654667, -1, 8027783, -1, 255111253, 81974765, -1, 168159378, 655181119, 780799423, 305585042, 328865813, 112017856, 162164360, 157360764, 140677461, 659619792, -1, 959497958, -1, -1, 960701403, 73287672, -1, -1, 685148533, 999951885, 19981886, 90734663, 409020547, -1, -1, 630125850, 396642053, 900898118, 536235577, -1, 22593788, -1, -1, -1, 247990172, 272328292, -1, -1, 120040293, 174206122, 357040521, -1, -1, -1, 800882129, 856760138, 951681972, 539766914, 904160377, 373854903, 617391260, -1, -1, 787777784, 291093187, -1, 365028588, 899866885, 876928974, -1, 783792345, -1, 652466193, 763804184, -1, 727301895, 915468878, -1, 499410325, 115352480, -1, -1, -1, 851519777, 996851850, 288694287, 432232837, 45662842, -1, -1, -1, -1, -1, -1, -1, 529075621, -1, 6743763, 655259062, 523355914, 415476824, 892582521, 408591689, -1, 495007541, 11409476, 165307073, -1, 475729616, 752062983, 69308671, 774083444, 351348845, 68760594, -1, 862477367, 667953056, 882699132, 753824813, 109349830, -1, -1, 168602449, -1, 91896015, 474248000, 11567462, 424497060, 720834363, 122097815, 170939940, 694375483, -1, 390663834, -1, -1, 121381580, 591474374, 514357513, 14572177, 985750380, 54395008, 347703365, 208824327, 964373516, 309316161, 339964431, 37632463, 740452406, -1, -1, 17027169, 497835892, 564967859, 120101920, -1, 276038581, 633609872, -1, -1, -1, 975093456, -1, -1, 426626721, 210458654, 144811956, 470754711, 275041073, 774414787, 940658545, 695563067, 395591214, -1, 659640854, 182133803, 654769714, -1, 270502245, 799564351, 884831881, -1, 291423863, 627721759, 745392917, -1, 534116566, 3134423, 631302650, 651927899, 300202375, 120041022, 537016459, -1, -1, 421664046, 24774364, 245710685, -1, -1, 881702193, 862370199, -1, 303436260, 42599266, 871794819, -1, 167314761, 699630310, 172551897, 806025291, 285034983, 266549272, -1, 269875574, 47985178, -1, 174464207, 684387205, 979369169, 705211930, 311162513, 602188740, -1, -1, 44671779, -1, 933508515, -1, 265689620, 774345710, 708809146, 969665113, 353353132, 144616943, 899384272, 550320909, -1, 163827967, -1, -1, -1, 81872461, 777050788, -1, 775663732, 489313432, 342272839, -1, -1, 592500106, -1, 65535944, 902463274, -1, 786184539, 71348287, 904518574, -1, 318931539, -1, -1, 853463137, -1, 757254746, 835736428, 838550408, -1, 364924009, 932124063, 987289351, 234437367, -1, 185025074, 244382552, 840616002, 860638044, 561785418, 116692806, 891088960, 585116299, 100397024, -1, -1, 98639711, -1, 568841589, 508524760, 216230003, -1, 213228698, 468246665, 360969616, 238768419, 129303536, -1, 918388179, -1, -1, 156143944, 604385060, 662982787, 726144361, 790872342, 845489243, 839304465, 160677911, 533981662, 653223568, -1, 283252385, 390397534, 210910831, 457715377, 764299973, 513094505, 350734017, 858084799, -1, 100983917, 559643783, 690602656, 508376785, 699228062, 341867939, -1, 170473126, -1, 433031702, -1, -1, 429795346, 961129707, 384436830, -1, 946517584, 797189758, 556801419, -1, 249858343, -1, -1, 143838850, 57781859, 791647088, 205786362, 918739379, 638172411, -1, 490373988, 322383092, 93464606, 309977842, -1, 785922327, 160205966, 250279668, 298593576, 155165784, 858063008, 96917574, 882285242, 676687209, 332104024, 63327415, -1, 250060494, 46210446, -1, 134158586, 591075188, 892390610, -1, 188034808, 845460182, -1, -1, 222203324, 411348843, 336920539, -1, 187127865, 824904907, 849239758, 503398423, 399424145, -1, 188496382, 111099419, 628414494, 773730836, 735097792, 145064520, 489178872, 681328526, -1, -1, 988940907, -1, -1, 599864281, 385165019, -1, 646780376, 718662162, 268178614, 616951655, 685085150, 678336491, 951985635, 698598112, 521690153, 396883552, 957055881, 218405676, 82641208, 919951156, 376461498, 892276264, -1, 154329611, 649489561, 653734675, -1, -1, -1, -1, 53032496, 842151917, -1, 746276614, 825838868, 166912462, 836495252, -1, 905128225, 685744687, 178928572, 306110862, -1, 408404449, 510721179, 206536469, 808083801, 368363297, -1, -1, 956686551, 115167984, -1, -1, -1, -1, 625115207, 810915087, 319191756, 20746837, 580205172, 733156426, 568666123, 733441832, -1, 450008070, -1, -1, -1, 421148053, -1, 24755808, 634420827, -1, -1, 732638748, -1, 527491129, 187004595, 950475455, 793563057, 291284765, 225652988, -1, 844374840, -1, -1, -1, 171409084, 838004596, 330960006, 289054667, -1, -1, -1, 317718001, 300437328, -1, 12476668, 46787678, -1, 501340305, 820367329, -1, 6172234, 799506359, 145466717, 514922415, -1, -1, 572421907, 640196440, 631784862, -1, 415734847, 628618344, 750435063, 235799891, 845783807, -1, -1, -1, 258005654, 142205581, 699749561, -1, 962340313, 507135896, -1, -1, 304908333, 159242499, -1, -1, -1, 743172441, 419699092, 127269488, -1, 433658122, 503251311, 500734201, 563615696, 688694285, 409728563, -1, 551320624, -1, 907261431, -1, 217388766, 356301032, 579694820, -1, 990192731, 752643233, 730129750, 191871528, 846805270, 99570628, 352982092, 648444644, 36367970, -1, 982350324, 448179639, 920402921, 509107748, -1, 815188261, -1, 198770510, 205629922, 506722266, 600032441, -1, 351753324, 790989334, 801822741, -1, 828883201, 32359161, -1, 91262061, 379922195, 187955864, -1, 970787653, 592076203, -1, 33216090, -1, 935980351, -1, 145814529, 441226544, -1, -1, 758374047, 49897451, -1, 661830298, 658719547, -1, 899309651, -1, -1, -1, 694320038, 431503205, -1, -1, 991197829, -1, -1, 648006336, -1, 66084425, -1, 396326385, 157666255, 325660719, 742620665, -1, -1, 865127899, 971332212, -1, -1, -1, -1, -1, 463929295, 693603517, -1, 406403027, 910005717, 9886694, 906005651, -1, 437552189, 603543886, 892486168, 758292591, 472207518, 751277851, 196878294, 376574794, 86307129, 721644114, 389176233, -1, -1, 620358782, -1, 716905420, 719254843, 215870388, -1, -1, 868571933, -1, 912725094, 478750359, 398643720, 56197160, 188516046, -1, 68332056, -1, 742029352, 118605269, -1, 900797932, 107306248, -1, 274449925, 11084677, 521649657, 481092418, 589164964, 632720356, -1, -1, -1, 334692384, -1, -1, 993641355, -1, 355475504, 135533028, 449534795, -1, 63215395, 671704095, 704848522, -1, 229036427, -1, 590263120, 244662248, 868693471, -1, 243749720, -1, 894100567, 553397281, 392531838, -1, 705784965, -1, -1, 987261727, -1, 427637538, 206607588, 324174172, 512481290, -1, 613510464, 740832210, 494126185, 896188955, -1, -1, 979592539, 50653985, 895878961, -1, -1, 585560247, 284076204, -1, 487085431, 877680065, 257665039, 216048766, -1, -1, -1, 624911849, 385298027, 69616590, -1, 76487812, -1, 356448969, 950866983, 153311866, 297748007, -1, 608254738, 830749362, 989593090, 567242137, 484841974, -1, -1, 733729868, -1, 247867197, 580814933, -1, 401811368, 740267907, 644701661, 232599584, -1, 821730959, 293185732, 665172224, 834233333, 77001010, 612231340, -1, 704325701, 415752106, 788852561, -1, -1, -1, 707631843, -1, 18778699, -1, 384765111, -1, 137161387, 90030666, -1, 409271078, -1, 342044262, -1, 653689098, 562273995, 471287235, 412439342, -1, 72325877, -1, 93901085, -1, 233093270, -1, 140130110, 411013418, 869467788, 707651648, 268278308, 968038630, 458425862, 12732998, 241521521, -1, 147917105, 170880065, 498468086, 646304792, -1, 524661064, 683566189, 795122935, -1, 658590115, -1, -1, 404891372, -1, 287887750, 586668143, -1, 770293857, 893434571, -1, 330500084, 939960657, -1, 807605141, -1, 383434991, 660343585, 893495338, 405808618, 199445211, 924857610, 618356969, 40695160, -1, 259630945, 495820853, -1, 726356482, -1, 579915456, 469876066, 539673616, 330981228, 338653659, 762294301, -1, 381866837, 565689162, 431389700, 328866296, -1, -1, 439387476, 932801686, -1, 59896105, -1, 51462587, 267966128, -1, 588107496, -1, -1, 373684841, -1, 281742391, 2516365, 163812769, 455704597, 84897730, 336710980, -1, 727094625, 980900531, 177050587, -1, 124663272, 503791143, -1, 658723375, 710275463, -1, 478136025, -1, 815772499, 482047610, 545971134, -1, 370556313, 675099776, -1, 569697747, -1, 11549190, 98681367, -1, -1, 337424113, -1, -1, 84094032, -1, 485510387, 591259066, -1, -1, -1, 241194990, -1, -1, 838061265, 475221632, 111901278, 802627392, 756671743, 968358457, 526407977, 78652377, -1, 911223151, 898766719, 93648724, -1, 664661657, 661307545, 401922816, -1, 467284774, 272269046, -1, -1, -1, 133418790, -1, -1, 450686172, -1, -1, 648476877, 207561418, 732869298, -1, 26512545, -1, 173706882, 155721898, 93441200, -1, 286999006, -1, 351528383, 75314305, 727302042, -1, -1, -1, 837429225, 234014843, 783571517, 277370798, -1, 56265011, 880898152, 207351167, -1, -1, 697004654, -1, 640874590, 787778565, 734867628, 701359145, 237041402, 44446135, 564424444, 906193633, 329583851, 925010707, 371620677, 701579551, 774288186, 579183783, 585802538, 673996731, 869641151, 462373176, -1, 329313392, -1, -1, 32587530, -1, -1, -1, 412531796, 643548689, -1, 989868667, 172492600, 58998970, 528114125, 296734906, -1, 722847535, -1, 995496311, -1, 175550624, 372102385, -1, 371380061, 368448698, 555527344, -1, 827116203, 359797321, 956423683, 950334410, 849685241, 350272762, -1, -1, -1, -1, -1, -1, 620512182, 437751253, 642447547, -1, -1, 220084824, -1, 517427266, -1, 552473865, 552654879, 665611293, 744430456, -1, -1, -1, 872903843, -1, -1, 775015802, 210669751, 144703424, 368595504, 386810061, 27609050, 60057627, -1, 442370150, 239347052, 83055724, 255187617, 668716144, 449144017, 616427681, 987931069, 664883526, -1, 187524869, 112101201, 322989691, 817191244, 748511118, 152809731, -1, 502696761, 24350175, 676222247, -1, 193123270, 556626677, -1, 974504168, 211300563, -1, 113631193, -1, -1, 661596556, -1, -1, 495593662, 837690313, 924225690, 75374831, 885679162, 488269173, 444665995, -1, 745468012, -1, 50290101, -1, 646045786, 282793907, 925236568, 38977923, -1, -1, 725110971, 57502182, 185599882, 17295538, 41112974, -1, 238410236, 681788629, -1, 807208829, 639642877, 56159685, -1, -1, 189572648, 972806966, -1, 611267371, 305222237, -1, 440494041, 267339773, 277530098, 229647706, 256433025, -1, -1, 962210579, 86528596, 910551693, 649992138, 765738926, 680707454, -1, 451846660, 539687021, 430930427, 908157566, -1, 670253828, 94497064, 959495478, -1, 764683753, -1, 981846491, -1, 864008537, 869658876, 738526659, 469908163, 553795718, 473943461, 756873725, 537998057, -1, 933679363, 221732967, 509310101, -1, -1, -1, 491686061, -1, 396095283, -1, 696486166, 869451990, 344017658, 127387353, -1, 616001404, 893125721, -1, 595246401, 977503120, 892420605, 181609890, 111526762, 905227226, 689173283, 595319408, 712495115, 48100827, 429965954, -1, 183494313, 299172133, 312296714, 192932514, 211231012, -1, -1, -1, 166590440, 540274213, 907051829, 598331043, -1, 752130208, 543690723, 869258493, 948250397, -1, -1, -1, 442008735, -1, 480314419, 923876895, 299112914, -1, 788171344, 991138394, 152632380, 507046946, -1, -1, 653879000, 695123682, 181950224, -1, 240977341, 618592997, 394311238, 253972943, 993575626, 723672675, 689481579, 613355252, 205202455, 95068165, 241653245, -1, 951047189, 458449650, -1, 815505559, -1, 712110915, 565572770, 838242708, 805668521, 576848794, 519165790, 850770388, -1, 287979058, 838796178, 63425724, 506670444, -1, 451978051, 125530637, 868915171, 799324966, -1, 121482752, 676553148, 504819364, 252233948, 301972434, 331838117, -1, -1, 416939718, 965227844, 11545043, -1, 778947724, 622915253, 382920296, 894384999, 784391823, 906796762, 355638021, 738423410, 210027641, 696804164, 278614893, -1, 60172959, -1, 632477577, 353391492, -1, 971941940, 234617273, 68813037, 221223457, 868108837, 76501354, -1, 562054482, -1, -1, 59287725, 952154987, 33582514, 300847754, -1, -1, 689526852, -1, -1, 742026848, 883850772, 812491291, -1, 204007035, 272097253, 964738234, 845806359, -1, -1, -1, 994740427, 112478477, -1, 7399083, -1, -1, 42732554, 191898330, 523860002, 124388888, 458205364, -1, -1, 212908217, 54645844, -1, -1, 444599600, -1, 752580515, -1, 313231986, 757471719, 242595651, -1, 842935044, 170569148, -1, 753089944, 771500688, 910023007, 185889011, 776193927, 976487606, 670668564, -1, 367868856, 948261231, 323777076, 108304993, 181190242, 670059465, -1, 184574808, 905356040, 804711431, -1, 95846474, 162814490, 943766982, 705624556, -1, 171014823, 137828179, 52559601, 218141807, 397103044, 341820096, 458073654, 864757748, -1, 698287460, 667566663, 562939099, 369950106, 281996534, -1, 67182976, 704087446, 590659217, 643715652, -1, 63708986, 458029704, 509589890, 514437941, -1, -1, 822052968, -1, 980603024, -1, 498008946, 943506742, 611177219, 716029818, -1, 390678124, -1, -1, -1, 918912182, 961626868, 788407529, 383570426, 431890257, -1, 47423693, 55401036, 199193407, 903104992, 992505501, 264205942, 602139823, 29453139, -1, 676575636, 720441128, 740285258, 823142711, -1, 612170163, -1, 665619946, -1, 747060533, 302166890, 199274901, 714808311, 650769793, 732045094, -1, 144168951, 580401425, -1, 841591817, 761416253, -1, -1, 739781709, 698830273, 434408824, 877040275, 84379610, 923634792, 744171695, -1, -1, 365591793, 772854384, -1, -1, 25934211, 31979, 776646989, 790326541, 354203704, 960042673, 467353784, -1, 240556334, 942457589, -1, 235725979, 133371148, -1, 936312175, 370905350, 387319522, 53994576, -1, 149787504, 593033165, 705760796, 637003070, 596092032, 650363378, 298437820, 585143279, 249985719, 966479521, 482683595, 584800459, -1, -1, 432380325, 506874885, 439673014, 747244357, 372970320, 740957536, -1, -1, -1, 89561719, 345742717, 399313246, 973998179, 707440274, 778996629, 731594669, 984717549, 876871902, 292257072, 399911222, 1758281, 247284199, 348827240, 367884016, 52837963, 366738970, -1, -1, 242609187, 369162804, 660286699, -1, 45178748, -1, -1, 156923848, 708182668, -1, 246011833, 348399317, -1, 736559431, -1, 285811093, 158306521, 690070492, 112950430, -1, -1, 53590964, 616295634, 696034338, 749973503, -1, -1, 271256154, 459948255, -1, -1, 110870870, 886855171, 68297398, 327822024, 710208886, 317972015, 847505514, 58310619, -1, 630903463, 552042254, 641355739, 425182375, 57183449, 634290733, -1, 119620360, 528614502, 350631564, 280504893, 305426440, 869888949, -1, 687371766, -1, -1, -1, 287827350, 16752467, -1, 20734690, 481910373, 874231591, 764470274, 150490446, -1, 96638996, 226051204, -1, 765648666, 330283143, -1, -1, 117663185, 876983233, 445577694, -1, 605712188, -1, 384377188, -1, 477474012, -1, -1, 224883882, -1, 126956896, -1, 45252387, 180616766, 194145117, 697853906, -1, -1, 894457645, 672537933, 269229540, 7281857, 572151548, -1, 95721799, 24574822, -1, 817924079, 118530514, 560528551, 65633478, 272705162, 310146897, 608495411, 384193952, 780388551, 767356584, 978636095, -1, 744090727, 811779124, 226055334, -1, -1, 405260950, 338992899, 526246009, 94718247, -1, 366636321, 964121126, 917974693, 88821145, 44310840, 213407690, -1, -1, 109747113, 863211289, 224962900, -1, 888125603, 532966366, 242507035, 847349327, 697555101, -1, 583683826, 804039569, 972942421, 282972426, -1, 307860726, -1, 708237449, -1, 799280017, 502300570, 724480273, 72505134, 316884923, 384795400, 191963645, -1, 58398086, -1, -1])) + +test5 :: Test +test5 = TestCase (assertEqual "for (minDifference [956058835, ( -1), ( -1), 295614205, ( -1), ( -1), 995266271, 253581494, 131516754, 860480023, 538501828, 749077845, ( -1), 394524711, ( -1), 128589010, ( -1), ( -1), ( -1), 67633240, ( -1), 31184951, 809174041, 9503339, 96291540, 684897801, 338180187, 175066083, 717171296, 185420529, 136088588, ( -1), 80802829, ( -1), 214223285, 433827257, 431428091, 407629530, 809415140, ( -1), 124043947, ( -1), 282417820, 566383852, ( -1), ( -1), 582284507, 386757364, 50857967, ( -1), 48611692, 153042945, ( -1), 956444996, ( -1), 108537616, ( -1), 418427963, 138609487, ( -1), 90469596, ( -1), 825094524, 54447104, 212741919, ( -1), 913533002, ( -1), 302904812, 383809918, ( -1), ( -1), 391522822, 735794258, 960672773, 608205301, ( -1), 734731250, ( -1), 187048185, 143875171, 11808802, 223192285, ( -1), 873764560, ( -1), 961985727, 273361591, 701452891, 301857047, ( -1), 137814718, ( -1), ( -1), ( -1), ( -1), ( -1), 861901726, ( -1), 138425992, ( -1), 530200928, 792682355, 906757528, ( -1), 482408118, ( -1), ( -1), 766274700, ( -1), 220322026, ( -1), 295441111, 145236974, ( -1), 412752660, 261991339, 912970584, ( -1), 588775682, ( -1), ( -1), 256080357, 455150030, ( -1), ( -1), ( -1), 664286988, 457415977, 161724641, 846849378, 962806503, ( -1), 243643324, 428992245, 397263043, ( -1), ( -1), 149820414, ( -1), 870121691, 877123752, 809460308, 901507790, ( -1), 679339529, 571218257, 5590904, 860451058, 749290709, 783788631, 967550699, 466938727, 989392635, 6732105, 842290827, 553100759, 589024387, 151891880, 759168198, 971239733, 37393931, ( -1), 845531038, ( -1), 234306983, ( -1), 648121502, ( -1), 827692006, ( -1), 210350626, 698413591, ( -1), ( -1), ( -1), 334423716, 16941357, ( -1), 203521602, 301690139, 285131736, 544378252, 378042503, 96738181, ( -1), 436801945, 835652134, 986827578, ( -1), 989003641, ( -1), 325856870, ( -1), 606536175, 137892084, 945959345, ( -1), 384393903, 259430615, ( -1), 228407363, 125401493, 585632590, ( -1), 604766365, 473408762, ( -1), ( -1), 42731535, ( -1), ( -1), 654464618, 724863203, 987426749, ( -1), ( -1), ( -1), 131140581, ( -1), ( -1), ( -1), 368673133, 104660020, ( -1), 586512921, 569499972, ( -1), 229940555, 609885978, 949954357, 253285771, ( -1), 896850430, 864297584, 765049683, ( -1), 189684217, 975003952, 690467239, 254647888, 815055563, ( -1), 396636410, 387885239, 261103824, ( -1), 498412263, 980464656, 821874975, ( -1), 79948889, 710833898, 145404700, 543002240, 643273424, 89268489, ( -1), ( -1), ( -1), 677590779, ( -1), 539770788, 895725114, 631040474, 205100482, 745904619, 567896481, 847553328, 561292300, ( -1), 401566637, 82062148, ( -1), 106004615, ( -1), ( -1), 478979010, 126650796, ( -1), 102321508, 707394684, 233135629, 873075425, 987639123, 727054174, 748741802, ( -1), 344340016, 192439768, ( -1), 514227317, 120626159, 586163593, ( -1), 455149764, ( -1), 783422123, 487324559, 243512055, ( -1), ( -1), 591796401, 60332288, ( -1), 900757583, ( -1), 383843157, 834325985, 821069858, ( -1), 120165920, 812568950, 18486068, ( -1), 876164309, 605294843, 21871862, ( -1), ( -1), ( -1), 705487767, ( -1), 877960891, 548153799, 770863041, 406378422, ( -1), 786786095, 352774111, 398389609, ( -1), 898995913, 286276851, 833562052, 890104125, ( -1), 653456987, ( -1), 597317027, 450874870, ( -1), 151794036, 358629422, ( -1), ( -1), 410448114, 59423248, ( -1), 702030660, ( -1), 661440988, ( -1), 338106020, ( -1), ( -1), 428522479, 7439330, 939248224, 813623079, 626329787, 200330465, ( -1), 91205263, ( -1), 707623764, ( -1), 110593283, 25909410, ( -1), 664789135, 394624690, ( -1), ( -1), ( -1), ( -1), 904338250, ( -1), 550241400, 682874622, 419414505, ( -1), 689873984, 126019782, 987726894, ( -1), 215966550, 261925606, 525390026, 669538323, 89508294, 894827566, 535360771, 115970973, 267289506, 58215697, 928593846, 112836061, 699731404, 286328162, 459648192, ( -1), ( -1), ( -1), 634024621, 296004413, 986144934, 787265128, 255280151, ( -1), 897064636, 945103420, ( -1), 815711201, ( -1), 850309841, ( -1), 150428220, ( -1), 435933069, 71903154, ( -1), 565470080, 266970988, 354745628, 979799847, ( -1), ( -1), ( -1), ( -1), 7999831, 724319635, ( -1), ( -1), 389279843, 875619018, ( -1), ( -1), ( -1), 79509399, 847708322, 728515925, 252970176, 134211086, 533560294, 940459428, 731008781, 758656190, 184774933, 423678146, 154505719, 96663238, 346750472, 752527999, ( -1), 475242144, 633500583, 150312140, ( -1), ( -1), 755642536, 519030068, 637596198, 752201974, 162291112, 959701058, ( -1), 371708603, 118260563, ( -1), 741905605, 734037701, 635943607, ( -1), 560624042, 901444527, 562783417, ( -1), 318250478, 482241554, 125243788, 966862326, ( -1), 676457116, 576975835, 789232780, ( -1), ( -1), 133973399, ( -1), 173219748, 731659008, 493808703, 151998865, ( -1), 403558217, ( -1), ( -1), 182468163, 652252759, 97596092, 175556922, 472326062, ( -1), ( -1), 185945827, 291105892, 79495687, 731663987, 67449823, 662758059, 978791592, 883110175, 652861553, 4975856, 102000676, 200332240, 317030280, 727268407, 184572773, ( -1), 955438905, 734126510, 436937354, ( -1), ( -1), 784593181, ( -1), ( -1), 830467766, 658118362, 304797657, 326947558, ( -1), ( -1), ( -1), 325410858, 364951910, 857783737, 79293295, 38921064, ( -1), 459706393, ( -1), ( -1), 437246932, 456093586, 911349036, 974185443, ( -1), ( -1), ( -1), ( -1), 944116423, ( -1), ( -1), ( -1), ( -1), 391645989, 85556423, 294000422, ( -1), ( -1), ( -1), ( -1), 402984422, ( -1), 952775108, 386884448, ( -1), 829503766, 819607560, 38604657, 884462837, 18871524, 741345296, ( -1), 687626435, 751298529, 833247482, ( -1), 743740414, ( -1), ( -1), ( -1), 325589971, ( -1), 405422989, 815031069, 955022231, 672001822, 647008544, ( -1), ( -1), 901195984, 620892159, 626925928, ( -1), ( -1), 826554650, ( -1), 822475893, ( -1), ( -1), ( -1), ( -1), 11862375, 618679923, 419055793, 390100205, ( -1), 193945920, 937210935, ( -1), 265166053, ( -1), ( -1), 660349694, 559523138, 463712406, ( -1), ( -1), 52694099, ( -1), 519412786, ( -1), 302361992, 932127972, 129628806, ( -1), 468667974, 435577815, 376781072, ( -1), ( -1), ( -1), ( -1), 890173073, 190691091, 265838404, ( -1), 396510313, 869415093, ( -1), 926679478, 714801347, ( -1), 307900291, 447715806, ( -1), 561098934, 586845506, 924193173, 371101173, ( -1), 751787111, 598422829, 813899029, 471968330, 445770808, 626233598, 937162776, 667332201, 202117492, 408317602, 71920151, 931837099, 863561821, 920450900, 760327851, 229889769, 899397085, 581505118, ( -1), ( -1), 285713977, 664831256, 214698398, ( -1), 424923882, 138346774, 40128765, 408094734, 903779864, ( -1), 265952218, 507998608, 740676896, 389677726, ( -1), ( -1), ( -1), ( -1), 60807593, ( -1), 626372241, 885315927, 639531582, 405051791, 34480130, ( -1), 266268927, ( -1), 629057959, 655142641, 139464004, ( -1), 722416103, ( -1), ( -1), ( -1), ( -1), ( -1), 681506656, 45826187, 470476300, ( -1), 267197640, ( -1), 384925194, ( -1), ( -1), 750221937, ( -1), 164606175, 309095561, 484510004, ( -1), 743803165, 328833147, 989035116, 816545109, 277171926, 185866242, ( -1), 358818580, 69602912, 739500085, 580016317, 377999894, 113035087, 140427532, 380334070, 482548081, 472757731, 971710266, 398011698, ( -1), 561463231, ( -1), 619876977, 490385810, ( -1), 1697820, ( -1), ( -1), ( -1), 316586215, 613644382, ( -1), 107964163, 944117227, ( -1), 722311831, 320952985, ( -1), ( -1), 590443571, 875752773, 641742413, 75140278, 510833760, 165984198, 601806920, ( -1), 330087097, 353546876, 447078996, 994286139, 424585794, 830036608, 409084515, 45215094, ( -1), 237055127, 763484954, ( -1), ( -1), 646866517, 400660522, 717898042, 669201958, ( -1), 826642090, 284709541, 549918772, 988554349, 925118776, ( -1), 502048249, ( -1), ( -1), ( -1), 868863646, 791850449, ( -1), 710603672, 156516899, 407802594, 518864321, ( -1), ( -1), 958555654, 555790551, 41120307, 86024846, ( -1), ( -1), 564192434, 92971232, 435851960, ( -1), 886643058, 266027573, ( -1), 294021386, 186668276, ( -1), 6454940, 596747391, ( -1), 243648755, ( -1), ( -1), ( -1), 611267055, ( -1), 402214091, 175457227, ( -1), 828285820, 159909982, 479842270, 227295568, ( -1), ( -1), 600731627, 610595466, 342850191, 51230564, 951893881, ( -1), ( -1), ( -1), ( -1), ( -1), 977349424, ( -1), ( -1), 914516647, 899473244, 584409080, 349731400, ( -1), ( -1), ( -1), 546873755, 407792344, ( -1), 730214787, 244802255, 134693381, 194453378, 331791782, 159788146, 385969827, 333438631, 752103665, 940282396, ( -1), ( -1), 821381660, 666262750, 271791120, 309110907, ( -1), 442431057, 911191720, 709240094, 297987223, ( -1), 358968438, ( -1), 652740788, 619659297, ( -1), ( -1), 363406376, 140937124, 705903144, 533795095, 627790060, 553619508, 602929054, 257026411, 489487369, ( -1), ( -1), 222469229, 126412939, ( -1), 340327779, 536571235, 43408183, 840186457, ( -1), ( -1), 707680737, ( -1), 469200460, 919192044, ( -1), ( -1), 328890620, 285922083, 727886636, ( -1), 690765841, 628307593, 54851870, 289419457, 183064461, ( -1), ( -1), 72491958, 901993767, 318148537, 610974953, ( -1), ( -1), 193855445, 427679208, 550433484, 344751630, 593203219, ( -1), 282564927, 313524060, 852520747, 548560313, 178063394, 980543431, 4935149, ( -1), ( -1), ( -1), 222878623, 575343651, 536614017, ( -1), 252922245, 885722808, ( -1), 267464580, ( -1), 221433064, 378029066, 816930338, 468515904, ( -1), 160690992, ( -1), 478467077, ( -1), 520197520, 604743887, ( -1), ( -1), 177133552, 867914318, 504788888, ( -1), 928458243, 425585858, ( -1), ( -1), 488695081, 687808842, ( -1), ( -1), ( -1), ( -1), 25841724, 782946348, ( -1), 723878271, 278050424, 252291305, 681291320, 549764658, 845698867, 997614317, 715509581, 94583795, 967098394, 650330387, 408852242, 96049443, ( -1), ( -1), ( -1), ( -1), 95864941, 127897760, 78849426, 415569640, 223400531, ( -1), 615532196, ( -1), 990704720, 150945592, 136048106, 586846407, 312831329, 557930198, 634713837, ( -1), ( -1), 840898416, 280023430, ( -1), ( -1), ( -1), 848011595, 77874846, 490177724, 424993174, ( -1), 342441162, 28699406, 362399146, 954628641, 824428461, ( -1), 385503603, 567467521, 817831097, ( -1), ( -1), ( -1), 458497060, ( -1), 373319615, 220946939, ( -1), 855616131, 654118687, 783616810, 957155713, 817654346, ( -1), 156385069, 424497028, 948918280, 44400318, 326911988, 423321842, 363283229, 676641645, 4744704, 320346029, ( -1), 636082203, 671905873, ( -1), 473779765, ( -1), 483439259, 502742099, 119982835, ( -1), 52124302, 979994904, 847969025, 410125543, 612601096, 109756081, 402150216, ( -1), ( -1), ( -1), ( -1), 786039760, 860210059, 869965756, ( -1), ( -1), ( -1), 207958091, ( -1), 83986292, ( -1), ( -1), ( -1), 616442467, 245100162, 465742153, 936622549, 204007708, 197881245, 529279477, ( -1), 438819139, 792595411, 842670759, 471101976, ( -1), ( -1), ( -1), ( -1), ( -1), 236322890, ( -1), 418103778, 218420099, 502971189, 77151438, 761636736, 647279950, 237268254, 246802609, 491796652, 439171114, ( -1), 328972835, ( -1), 323209472, 603723664, 647076747, 667489602, 483650843, 153389634, 416492656, 775554331, 721238968, ( -1), 678425749, ( -1), 820380646, 360504787, 315227461, 103078298, ( -1), 369151013, ( -1), ( -1), 519878446, 552584409, 566755556, 917581034, 93221079, 477174279, 360897222, 137555695, ( -1), 740861745, 728603973, 394470078, ( -1), 216226926, 923418398, 706047631, 412066990, 330552878, ( -1), ( -1), 592212260, ( -1), 889426708, 736524069, 517322025, 246051682, ( -1), 4737575, 408279710, 70515025, 184543831, ( -1), 317364721, ( -1), ( -1), ( -1), 931957906, 616770047, ( -1), ( -1), 482823556, 242197116, 147894048, 967671732, 278671300, ( -1), ( -1), 70942401, 691204524, 404743956, 185138692, 310359166, 63139957, ( -1), 210355037, 996569662, 161692434, 640097470, 667688341, 246186919, 465840510, ( -1), 618333404, 948252261, ( -1), ( -1), 136142256, 484978286, ( -1), 224762805, 664700897, 318400638, 813154249, ( -1), 2748515, ( -1), 798137346, ( -1), 578304020, 353315085, 36936453, 441037544, ( -1), ( -1), 143267257, 344899555, 795987699, 966180404, 484738874, 136217186, ( -1), 640114707, 338758186, 567677833, 916999916, 70083995, ( -1), 155627975, 524754423, 960593730, 837831910, 760557834, 782790828, 223395982, 206626572, 633950038, ( -1), ( -1), ( -1), 536540305, ( -1), 486213781, 351596141, ( -1), 456564994, 117070448, 325912491, ( -1), 68052160, 775899936, 317309366, 601659240, 460867319, 698072076, ( -1), 197662315, 84143024, ( -1), 649117103, ( -1), ( -1), 647282193, 283390263, 917523326, 146729254, 81988922, 3770219, 278130718, ( -1), 485980933, 46290936, 993334462, 126372355, 774549224, 887488498, 956568831, 770205649, ( -1), 247506404, 345974405, 473735038, 661107894, ( -1), 235953376, 309535773, ( -1), 702976473, 764580504, 906603407, ( -1), 908279992, 4204554, 808458096, 76433428, 46985558, 878630572, ( -1), 318726379, ( -1), ( -1), ( -1), ( -1), ( -1), 672394096, 477899830, 741793269, 284962961, ( -1), ( -1), 562821190, 685863992, ( -1), ( -1), ( -1), 622206941, 775725884, 413730017, ( -1), 915821942, 418421136, 698313034, 164095250, 492007704, 559664150, ( -1), ( -1), ( -1), 636523706, 254484906, 322094112, ( -1), 44853103, 103001244, 525905270, 933881641, 601476434, 134699154, 166857235, 630917259, ( -1), 724755384, 400594786, 516325436, ( -1), 473629514, 801992494, 713388883, ( -1), 407943443, 969422374, 717562278, 48040439, ( -1), 39854149, 30545493, 480185905, ( -1), 305131527, 971134160, ( -1), 635188121, 467096731, 774858795, 165451683, 92598182, 205419087, 686592086, 968678958, ( -1), 235927793, 266014971, 715703221, 356183877, 529460153, ( -1), 542088458, 573424529, 301102290, ( -1), 76995223, 665647510, 33808883, 123500308, 465325501, 692035226, 412449262, 539898589, 630793583, 69299703, 24241067, 603774780, 932539766, 316544908, 66758722, ( -1), 478982816, 536786642, 671714840, 163006883, 915886701, 251956488, 184390910, 59370231, ( -1), 67000876, 833197814, 266417566, ( -1), 240520613, 987624668, 653767303, 297464981, ( -1), 255449398, 224391865, 458268461, ( -1), 287018071, ( -1), 858041407, ( -1), 525581837, 544870302, 301375293, ( -1), 575556385, 921644334, ( -1), 251476353, 118369005, ( -1), ( -1), 376918369, ( -1), ( -1), 65886496, 627929669, 197879888, 667907038, 824959613, ( -1), 494545221, 705646995, 194997350, ( -1), 451315479, 919975654, 1462858, 774768224, 562926323, ( -1), 716997227, 840199345, ( -1), ( -1), 598179713, 153687818, ( -1), ( -1), ( -1), ( -1), ( -1), 53326092, 226492726, 135425560, 196568045, 581314598, ( -1), 302320513, 730327921, 543832211, 477387975, 247266767, 385542069, 167719894, 615007892, 206675234, 830895452, 152938601, 323321364, ( -1), 728797799, 559182379, ( -1), ( -1), 330137725, 269622642, ( -1), ( -1), 445206192, 39374753, 272072885, 167835529, 805414611, ( -1), 107411748, ( -1), 651105691, ( -1), ( -1), 24998645, 697082881, 496081016, 138293772, 8637806, ( -1), 653941692, 427651343, 377401083, 80645607, ( -1), 600959977, ( -1), 208019865, 998708719, ( -1), ( -1), 530754969, 868084667, ( -1), 353448053, 147749926, 575054727, 889790901, ( -1), 583546829, 275121194, 606651102, ( -1), 650493486, 370983840, 232532380, 385515633, 66591361, 548628444, ( -1), ( -1), ( -1), 239815705, 669204234, 454408596, 847855647, 590959834, 719399606, ( -1), ( -1), ( -1), ( -1), 658071178, ( -1), 597538687, 980487486, 864781468, 137486336, ( -1), 460491646, 226084133, 980100262, 904501709, ( -1), ( -1), ( -1), 294519537, ( -1), 360829902, 414628035, 494910855, 557143978, 332154252, 841915449, 495374711, 901068398, 94832729, ( -1), 693956311, 249634877, 283254422, ( -1), 916498852, ( -1), ( -1), 294756656, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 360905483, ( -1), 753794316, ( -1), ( -1), 430211990, 678100167, 981537855, ( -1), 201269695, ( -1), 476738400, 583856640, 35783846, 648343740, 954851952, ( -1), 940227126, 544805227, 632632163, 399949349, 479106976, 128051700, 481971328, 90777913, 12035568, ( -1), ( -1), ( -1), 337252984, ( -1), 369836798, 69642410, ( -1), 397748192, 652938963, 29560058, 170700734, ( -1), ( -1), 28897407, 562911002, ( -1), ( -1), 118598184, ( -1), ( -1), ( -1), ( -1), 704146695, 809115915, 961511580, ( -1), 276913319, 225839447, 424084683, ( -1), ( -1), ( -1), 246752174, ( -1), 225816033, 32421688, 746095570, ( -1), 937527779, 574278315, 214670054, ( -1), 546308361, ( -1), 55289893, 251286102, 80992253, 965451062, ( -1), 647968119, 186612302, 191538648, 643997218, 656234689, 487118702, 969862569, 503783681, 135627545, ( -1), ( -1), 934011948, ( -1), 757779960, 451001576, ( -1), 227444593, ( -1), ( -1), 650878685, ( -1), 856422135, 804003055, 580899503, 978220852, 390565097, ( -1), 968434234, 579596576, 714302095, 305538447, 205060682, ( -1), 809451372, 603035303, 404784508, ( -1), 733532940, 522316524, ( -1), 859157743, 268575669, ( -1), 760536951, 991761216, 456330263, 619883911, 314490074, 375659840, ( -1), 828575573, 460249283, 824085716, ( -1), 626808831, 112168656, 281513163, ( -1), 416658595, ( -1), ( -1), ( -1), ( -1), 159952951, 411249772, 676253624, 997190703, 855941080, ( -1), ( -1), 678335431, ( -1), 304915116, 620064815, 896782399, 500640039, 281985218, 184300553, 916665765, 689344956, 63514664, ( -1), ( -1), 206406252, 144829137, 399805927, ( -1), 553739864, 149089745, ( -1), ( -1), 404266946, 482708787, 267569040, 972893681, 45520241, 13276183, 825298458, 48352007, 188737134, ( -1), 398550061, 828300686, 162637676, 471143725, ( -1), 315649695, 725646597, 386302776, 62235403, 749690366, 840316104, ( -1), ( -1), 640004753, 876450180, ( -1), 672356811, 793390254, 271170780, ( -1), 648298216, 299780291, 950322367, 185450158, 834696174, 631018329, 265968716, 943250434, 271261577, 194621659, 962979330, 132727247, ( -1), 531697397, 106552793, 813404363, ( -1), 359623082, ( -1), 904682566, 110343150, 912747152, 148476598, 737002081, 999089393, 149806802, ( -1), 979915381, 556738843, 634434152, 435379552, 409384660, 271371726, 311927610, 100784568, 440887165, 164516752, 841742214, 257550635, 952089120, ( -1), ( -1), 635939101, ( -1), 790753724, ( -1), 119295635, ( -1), 897695313, 488681061, 942607012, ( -1), 33497548, ( -1), ( -1), 992618348, 322566679, 278161345, 460048055, 451355499, ( -1), ( -1), 871203726, 985043157, 661282755, ( -1), 235912661, 844107311, ( -1), 23910007, ( -1), 938766403, 976858392, ( -1), 395543998, 955471918, 940116162, 242401437, ( -1), ( -1), 527040072, 666001986, ( -1), 91741444, 903909003, 171788329, 733606364, 880936121, 619918007, 74939524, 292167368, 486294047, 221988630, 159471644, 217459117, 298980328, 8726447, 71032924, 587594540, 470734671, ( -1), 230282550, 43989251, 100049253, ( -1), 24659205, ( -1), 238317819, 652467935, ( -1), 976182027, ( -1), 537830025, ( -1), 633438909, 9606242, 462391353, 487007358, 66044651, 758701344, ( -1), ( -1), 135241573, 582447379, 600884658, ( -1), 214380174, ( -1), 942198674, 278771300, ( -1), 64884211, 776210191, 981193352, ( -1), 172283590, ( -1), 768325209, 345175697, 647670244, ( -1), 472957080, 89108722, ( -1), ( -1), ( -1), 892158184, 42566373, 862031168, ( -1), 539302191, 825364954, 720490711, 595086351, 307038733, 18969037, ( -1), 870308391, 735291763, 893696221, 771493313, 102891354, 361376977, 859217098, ( -1), 228191820, ( -1), ( -1), 788437796, 445453480, 490773643, 659694081, ( -1), 146655667, 444874243, 425829128, 849071392, 496020118, 634084812, 668372180, 16635220, 635632360, 982573730, 899606468, ( -1), 690435767, 747373419, 91232105, ( -1), 145187123, 130056695, ( -1), 942883298, 141646168, 195593430, 584483435, ( -1), 451446594, ( -1), ( -1), 171628321, 441075660, ( -1), 899542287, ( -1), ( -1), 13405349, 742838147, ( -1), 629944483, 191293143, 124625957, 587483520, 336217933, 994630473, 385838925, 444158685, 985409864, 311459471, ( -1), 129342812, 25619714, ( -1), ( -1), 944652020, 429698002, ( -1), 990379266, ( -1), 722152971, 546495882, 661406812, 543881773, 412617817, 287058750, 247964784, ( -1), ( -1), 918420970, ( -1), 637687593, 253074734, 939815136, ( -1), 659184648, ( -1), 778281881, ( -1), ( -1), 871826076, 219370093, 545269819, 255618713, 548085402, 914058607, 461051057, 306872311, ( -1), 561904034, 896371953, 444898621, ( -1), 206090867, 504427558, ( -1), 130765631, ( -1), 920872203, 432467498, 441150833, 528198598, 869647381, 721304112, 560344395, 698461866, ( -1), 459418743, ( -1), 639937413, 259037443, 886254368, 383864766, ( -1), 649484371, ( -1), 70086960, 159999941, 95183225, ( -1), ( -1), 79382296, 994825197, 732208256, 374404800, 801814065, 876351191, 251487973, 940451831, ( -1), 59513881, 201241353, 359126309, 714459594, 755283782, 889833225, 72983462, ( -1), ( -1), ( -1), ( -1), 96591889, 342896448, ( -1), 376477039, ( -1), 350547447, ( -1), 650924593, 609571025, 483376789, 847160723, 379519929, 482658658, ( -1), 404026236, 181923527, 898991927, 650987373, ( -1), 23270161, ( -1), ( -1), 807942022, 1734442, ( -1), 535354729, ( -1), 537419306, 803611696, ( -1), 283574982, 423646395, 135806139, 642076627, 861306081, ( -1), 889850823, 555472456, 7393322, ( -1), 583468654, 763769369, ( -1), ( -1), 586754926, ( -1), ( -1), 255911455, 715679366, 284399254, 287364213, 664013456, 116618762, 949177716, 645489061, 368177346, 462137589, ( -1), 944594685, ( -1), ( -1), 923834609, 482702514, 521200120, 886015717, 939494678, ( -1), ( -1), ( -1), ( -1), 748900644, 547488751, 677298447, 366740327, 810316710, 756668041, ( -1), 610521399, 488747665, 154423304, 918499517, ( -1), 779628403, 615380946, 130302902, ( -1), ( -1), ( -1), ( -1), ( -1), 517281811, 909783083, 970215541, 21183027, 832868033, 94469952, 432493815, ( -1), ( -1), 709719741, 19609353, 904558569, 650919972, 728125757, ( -1), 371540476, 767082497, 151924149, 84220827, 501958621, 914007403, ( -1), 167283200, ( -1), ( -1), 978623662, 591402038, ( -1), 104924966, 329966132, 851245633, ( -1), 475869916, 274492655, 31845542, ( -1), ( -1), 332300373, 563501879, 478157932, 741596063, 79898213, 570695539, 678027934, 100661282, 909038749, 758228649, 689549750, ( -1), 402965562, 569275166, ( -1), 366034212, ( -1), 951849333, 243524648, 882614680, 797574082, ( -1), 227967527, ( -1), 916043484, ( -1), 844166544, 181340038, 723244308, ( -1), 819980812, ( -1), 220231566, ( -1), 80204260, 692239263, 90931085, 941437231, 529067087, ( -1), 678555839, 999250403, 30761016, 858158343, ( -1), ( -1), 145855776, 745705668, 889809706, ( -1), 988964057, 522113155, ( -1), 183891216, 14321376, 181688368, ( -1), 142963766, 973471555, 79242760, ( -1), ( -1), 836847883, 148542713, 979049294, ( -1), ( -1), 381660607, 458172359, 478479120, 413737613, 990776635, 324344795, 523493606, ( -1), ( -1), ( -1), 95778325, ( -1), 531313271, ( -1), ( -1), 124341520, ( -1), ( -1), ( -1), 572934790, ( -1), ( -1), 872871337, 919182277, ( -1), 420413379, 27377048, 211056187, 371038120, 378594892, 879850624, 212030304, 134396590, 687794286, ( -1), 456386811, ( -1), ( -1), 342234184, 623633649, 607320218, ( -1), 205255021, 382894094, ( -1), 58186888, 972844585, ( -1), ( -1), 867503677, 738287554, 503949831, ( -1), 302378523, 110969083, 531236112, 494351322, 145025244, 342002084, 188792072, ( -1), 404286361, ( -1), ( -1), ( -1), ( -1), ( -1), 406278254, 95119173, 63160839, ( -1), 346063967, 636301326, 53817282, 27005458, ( -1), ( -1), 81266065, 326267074, ( -1), 359724811, ( -1), 227959025, 502217968, 782455832, 311888796, 842246252, 136286902, 984683782, 362173548, 54812775, ( -1), ( -1), 766945118, 624960791, ( -1), 878388482, 166028985, 370730303, 351262775, 83203538, 888558705, ( -1), 71916152, 736451528, 923912350, 31910242, ( -1), ( -1), 366437854, 778108842, 624292287, 723896858, 571388053, 658340259, ( -1), 464324116, 562901194, 181437732, 316843560, ( -1), 694519644, ( -1), 862879267, 379722388, 701624362, ( -1), 197168507, 511640105, 451672337, 529810876, 729099590, ( -1), 987260794, 291711071, 51429160, 195332365, 235087930, 45154172, 773583146, ( -1), 831856468, 184904884, 660680318, 22486427, 739601041, 247447847, 463428064, 125873904, 977192424, 170379846, 133100026, ( -1), ( -1), 520320597, 35840653, 231961982, 543348828, ( -1), 240395815, 516209165, 482804077, 386725642, ( -1), 34727415, 14513526, ( -1), ( -1), ( -1), ( -1), ( -1), 952051104, 503330092, ( -1), 149845991, ( -1), ( -1), 767937716, 58754344, 713339250, 321607971, 30071630, 992864626, 223316676, 160949930, ( -1), 44379367, 596645449, 436410909, 859563773, ( -1), ( -1), 799405249, 727437439, 679465178, 694853813, 201487340, 750281809, 766237790, 749957078, 590159290, 694786008, 658170385, 285399712, 791788169, 844813935, 136178600, 551966114, ( -1), 73692250, 383023253, 414328853, ( -1), 975597459, ( -1), 798710408, 794583202, 889696348, ( -1), 921353005, ( -1), 139693897, ( -1), ( -1), 764479768, ( -1), 680523853, 356345030, 89322403, 225844841, 44474322, 515387763, 349462821, 713303741, ( -1), 276895988, ( -1), ( -1), 249771719, 951422850, ( -1), ( -1), 249516631, 418459709, 452961008, 67139580, 863595906, ( -1), ( -1), ( -1), 857535213, 346105287, 236892116, 155061949, 443072582, ( -1), 178102550, ( -1), ( -1), 850741927, ( -1), 613137576, 391198131, 19007556, 398920714, 898217675, ( -1), 428257672, 785346819, 403037727, 884271224, 458153286, 561396499, 12568322, 872559281, 252984040, 165936010, 550844915, 901971896, ( -1), 36916119, 226156907, ( -1), ( -1), ( -1), ( -1), ( -1), 44903080, 986674710, 888540547, ( -1), 652018343, 302481991, ( -1), ( -1), 625974736, 716278462, 670940876, 354951753, 924331216, 232089621, 750648299, 83082329, 978411422, ( -1), 50549628, 75286613, 918051445, ( -1), 659515998, 512333699, 901795500, 22598002, 868382764, ( -1), ( -1), ( -1), 871601593, 745201712, 267140957, 218956772, 819876073, 709641109, 860858828, ( -1), ( -1), 533296003, 252300119, 75765062, ( -1), 940377808, ( -1), 460635638, ( -1), 47464826, ( -1), 726132604, ( -1), 633329177, 809034537, 211215524, 445115429, 268361462, 48024611, 992901347, 143670449, 308306930, 296308479, 288436175, 19268985, 851729660, 515720382, 600207832, 54258672, ( -1), 946278934, ( -1), 318076281, 383551714, 930750554, 530297644, 173344156, 937014827, ( -1), ( -1), ( -1), 993598302, 259372815, 736047641, ( -1), 924046768, 167784927, 73164124, 349721845, ( -1), 497555088, 459715687, 320673688, 489651631, ( -1), 860553242, ( -1), 940825784, 643560961, 39968185, 754125617, 283464138, ( -1), 946806225, 373911063, 547007841, ( -1), 579446500, ( -1), 109154544, 443458, 348556031, 119242473, 264399718, 202768994, 931486347, 288005225, 264905981, 872240764, 903255288, 443978613, ( -1), 802508199, 444007077, 679882162, 351439697, ( -1), 47368857, 24299733, 584088697, ( -1), ( -1), 770169767, ( -1), 988589932, 914760785, 616597905, ( -1), ( -1), 595289114, ( -1), ( -1), 495089136, 500347631, 960742209, 640909010, ( -1), ( -1), 660884346, 412134029, 843649622, 516648909, ( -1), 960632548, 548356798, 133986823, 877587462, 385822513, 594343938, 426833264, 179796142, 739780718, 110686907, 993303501, 938327948, 205150753, 535510769, ( -1), 305441665, 676876562, 784229222, 461045976, 699195376, ( -1), 76996735, 594231655, 578764314, 355283550, ( -1), ( -1), ( -1), 421462347, 439093115, 612108778, ( -1), 657015668, 575738665, 196713464, 849770018, ( -1), ( -1), 77399916, ( -1), 696805590, 754490354, 932197836, 38642686, ( -1), 366705922, 98927172, 118983126, 912658893, 769513996, 327966415, 517984180, 779375779, ( -1), 706928461, 117333908, ( -1), 77334055, 656068842, 689915979, 665367431, ( -1), 216972409, ( -1), 723986065, 318040714, ( -1), ( -1), 956745152, 126272887, ( -1), 601718117, 985920790, 136936430, ( -1), 861747966, ( -1), 551431648, ( -1), ( -1), 78950173, 674642470, ( -1), 17621114, ( -1), 840667727, 661637163, 285252178, 235058475, 377244388, 786140717, ( -1), ( -1), 945355173, 691071228, ( -1), 459529716, 110270536, 465544607, ( -1), 608561487, ( -1), ( -1), 449311662, 676486502, ( -1), 94798479, 47731268, 492048243, ( -1), 374123453, 151390930, 430044610, 547299605, ( -1), ( -1), 308310614, 869554793, 840600294, ( -1), ( -1), ( -1), 383675290, 841579108, 639582886, ( -1), 586447898, 499940917, 317825257, ( -1), ( -1), ( -1), 426572463, 746185459, ( -1), 11836000, 202787785, ( -1), 900176603, 608211459, 193916809, 331746168, ( -1), 655185727, 92158690, 722862062, 105996786, ( -1), ( -1), 129096374, ( -1), 950983468, 463990279, ( -1), 813534850, 956665694, 654657559, ( -1), 551040544, ( -1), 849968513, 477059504, 908698946, 80519878, ( -1), 621512784, ( -1), 402446043, 471162442, 24182312, 643105015, ( -1), 205103986, ( -1), 896560470, 767586841, 714945917, 145746885, 263307142, 571992246, 179235401, 222244701, 840072900, 422281047, 463147177, 46315753, 349908169, 453936818, ( -1), 369132438, 38182090, ( -1), 779647802, 863660910, 304840775, ( -1), ( -1), 108338085, 702527996, 96931181, 593961692, 141178464, 857235024, ( -1), 477255083, 411588724, 276652336, 712758659, 911618232, ( -1), 911931085, 379109475, 413118324, 935181578, 86194622, 594461261, 831188423, 575223378, 345980676, 481184908, 888964660, 343698599, 188502861, 448368001, ( -1), 567897995, 511114958, 138644778, ( -1), 308513517, 667511611, 172292781, ( -1), 602174966, 684969489, 398549905, ( -1), 405797317, 294425352, 341749361, 994621494, ( -1), ( -1), 149852446, 831005024, 555175692, 355090508, ( -1), 782566828, 760067546, 177149314, 842940882, 913193275, 177380342, ( -1), 585488470, 209859406, 100232059, 559901477, 965349167, 954787827, ( -1), 629009238, 534393399, 577925239, ( -1), 106941299, 241312005, 704122507, 577907108, 882926315, 372575383, ( -1), 430204148, ( -1), 287461999, ( -1), ( -1), 467416750, ( -1), 454246213, ( -1), ( -1), 316954381, ( -1), ( -1), 584343053, 421717130, 3767089, ( -1), ( -1), ( -1), ( -1), 538039742, ( -1), 769089301, ( -1), 180048914, ( -1), ( -1), 748046392, 783494219, 879053011, 40640155, 895980539, 105515915, 514055243, 565584070, 950094930, 819915783, 526671409, ( -1), 462817374, 191078588, ( -1), 269444660, 162134039, 961838128, 758723824, 725902749, ( -1), ( -1), 597614043, 691235597, ( -1), 542648598, ( -1), ( -1), 180035124, 700972383, 491208227, ( -1), 130675956, 740821537, 440571331, 923729930, ( -1), 274002214, 896089691, 358377910, ( -1), 100878684, 73198397, 263981836, 333528683, 798120556, ( -1), ( -1), 837404499, 105169439, ( -1), ( -1), 277763799, ( -1), ( -1), 243121900, 143831710, 855348443, 316294200, 665029335, 727921763, ( -1), 163146532, 807144447, 471221667, 803177683, 436163663, ( -1), 929600502, ( -1), 116977134, 644030663, 58062964, 254022528, 926212321, ( -1), 551656292, 491842524, 684680591, ( -1), 655965042, 418155321, ( -1), 986146900, 862618511, ( -1), ( -1), 464320544, 819275830, 371762668, 923350296, ( -1), 417867979, 245485141, 514680760, 581540219, 207713285, 620985256, 570390164, ( -1), 225601257, 819136266, ( -1), 966090812, ( -1), ( -1), 178135884, 634356355, ( -1), 667486500, 368883231, ( -1), ( -1), 403152891, 147234722, 562611931, ( -1), 410200059, 153650027, ( -1), ( -1), 774032098, 978221544, ( -1), 226677300, 447160412, 258136296, 102841306, 242439027, 587205219, 366689726, 13246910, 653409172, 948840929, 853387053, 10406011, ( -1), 393621867, ( -1), 206657941, 292267398, 607361405, 397866244, 535527572, 687670283, 803787031, ( -1), 689674032, 866902540, 834821634, 377178263, 797649994, 12003141, 326424288, 942120066, 758908228, 881774680, ( -1), 834474291, 255718900, 510273007, ( -1), 646262308, 713648127, 721833802, 656194162, 697494187, 496463891, ( -1), ( -1), 15760108, 783710921, 973472886, ( -1), 717796742, 823414027, 324927409, 462412232, 231547085, ( -1), 334671030, ( -1), 221043261, 935106169, 964452401, 759188569, ( -1), 333832516, ( -1), 222801305, 999472875, ( -1), ( -1), ( -1), 53017462, 38465176, 703170848, 677125199, ( -1), 76868244, 620441451, 650916419, 421996195, 971280639, 798673745, 314328142, 541946014, 546718420, 647782230, 831673246, ( -1), ( -1), 552599383, 586628663, 103611508, 596482165, ( -1), 574740203, 504802989, 562747641, 386505308, ( -1), 576658056, 923752028, 996801271, ( -1), ( -1), 130049091, 80815239, 897885333, ( -1), ( -1), 77683319, 4666183, 564798188, 777422800, ( -1), 786524117, 392902670, ( -1), 319535189, 125010177, ( -1), 603162092, ( -1), 145994830, 445518484, 467048735, 951570595, 509583220, 953628190, 94638029, 372617053, 721015961, ( -1), 735229578, 170339341, 300425415, ( -1), ( -1), 521410849, 967256290, ( -1), ( -1), 565957693, ( -1), 373290971, 413375401, 652779848, 154004153, 667346721, 108514349, 294270310, 298557939, 269125889, ( -1), 422135248, 325618962, 152531519, 364266049, ( -1), 538687234, ( -1), ( -1), ( -1), 716325288, 791402014, ( -1), ( -1), 878653537, 699659741, ( -1), ( -1), 922590723, ( -1), 860706579, 826721381, 825120787, 496809274, 127995044, 333160162, 241530460, 985868064, ( -1), ( -1), ( -1), ( -1), 766788240, 272848124, ( -1), 265896722, 157131340, ( -1), ( -1), 983139910, 420357229, 858398948, 369294409, 676156200, 55223326, 105286599, ( -1), 711016628, 742287289, 386368121, 86933032, 277510477, 210069211, 339021894, 902486928, 654181376, 637416799, 323650300, ( -1), ( -1), 627646403, 984014635, 290143736, 121168062, 230663540, ( -1), 214982027, 955864572, 232669257, 4945567, 178382235, 275024254, 733707730, 901363534, 303911296, ( -1), ( -1), 921954573, 799394179, 243806047, 120028719, ( -1), 848290131, ( -1), 616946891, 179753660, ( -1), ( -1), 143160175, 511907534, ( -1), 552005215, 748168059, 225237548, 135489855, 626867191, 94408464, 497686151, ( -1), 227788882, 311806107, ( -1), 948649041, ( -1), ( -1), 799963751, 652826840, 87720401, 732946712, ( -1), 280328718, 939188853, ( -1), 215806547, 846773041, 392060629, 138995134, 960579866, 360985977, 188170230, 650978910, 275598588, 762022242, 683589978, ( -1), 642917765, ( -1), 654264187, ( -1), 94114732, ( -1), ( -1), 509666781, ( -1), 922974702, 279638896, 90003763, 613235854, 880647009, 74217290, ( -1), 882030561, 25816609, ( -1), ( -1), 727009626, 464287465, 333242198, 822541774, 441115297, 334947191, 789635457, 658858896, 84077206, 219924315, 658846567, 413185464, ( -1), ( -1), 180942922, ( -1), 860553210, 970203033, ( -1), 203239447, 410483759, 80024320, 643571979, 318262995, ( -1), 716117875, 775617099, 401083445, 238844261, 363459119, 250252798, ( -1), ( -1), 601758115, 949780109, 906955966, 32215513, 851389100, 197535593, 507023992, 29040945, 754968612, 908738004, 234355257, 481300226, 705901055, ( -1), 727730564, ( -1), 238660084, 166582732, 513457617, 408316837, ( -1), 824022596, ( -1), 718461808, 297702184, ( -1), 557108532, ( -1), 402276635, 680920059, 196755819, 648032339, 386762603, 998917399, ( -1), 208421788, ( -1), 414191213, 631567953, ( -1), 970667089, 492209318, 787530603, 882794894, 532576268, 455187747, 182561418, 550416360, ( -1), ( -1), ( -1), ( -1), 548092105, ( -1), ( -1), 647791695, 436005614, 71016674, ( -1), 588946613, 705757332, ( -1), ( -1), ( -1), 691667834, ( -1), 190806319, ( -1), 950021974, ( -1), ( -1), 590504036, 657150139, 311615192, 748850567, 959896608, ( -1), 837230064, 145221905, 567634701, 295400243, ( -1), ( -1), 679504134, 250408706, ( -1), 484307216, 437374974, 170265114, 197366068, 789121343, 962538765, 656882009, 660482242, 444397815, 653187440, 335903323, 832823112, 44717152, 123640242, ( -1), 800992522, 716968713, 614424095, ( -1), 924886338, 111325947, 224759290, 606578016, 889022610, ( -1), 363611229, 318917271, 647077221, ( -1), ( -1), ( -1), 892844994, 182631773, ( -1), 620305274, 602869464, 298410378, ( -1), 778015623, 587593402, 989789547, 638701183, 463384775, ( -1), 454505093, ( -1), 620704793, 908823847, 271861689, 307182385, 172631305, 202119630, 469271921, 271057083, 766030898, ( -1), ( -1), 6342126, 464173592, ( -1), 743473772, 930376031, 163612775, 749429237, ( -1), 875219372, 486712823, 938121431, 97578277, 171733021, 304554414, ( -1), 753705675, 884317743, ( -1), 557910428, ( -1), 741741053, 44085855, 793001989, 216807241, ( -1), 561961838, 536679941, 190126024, 611729363, 912521046, 300044668, 783581487, 455515630, ( -1), 20397848, 249480935, 354206368, 721374052, 87041117, ( -1), ( -1), 150180419, 420097644, ( -1), 97900998, 411614643, 795731971, ( -1), 139107319, 825049756, 661527524, 484333761, 304399066, 552598805, ( -1), ( -1), ( -1), 836093554, ( -1), 372680263, 415249585, 153957516, ( -1), 366184616, 548618881, 247271223, 614220216, 289705194, ( -1), 424496556, 618347547, 66220777, 451718435, 39753154, ( -1), 965247587, 186272884, 937556671, 343736969, ( -1), 41968651, 876338510, ( -1), ( -1), 664539, 227376418, 669770742, ( -1), 81070280, ( -1), 635230933, 292875901, 617900544, ( -1), ( -1), 637691748, 636645122, ( -1), 842777935, 320472031, 381143109, 193224303, 276762050, 571385177, ( -1), ( -1), ( -1), 125705609, ( -1), 501901867, 922572721, 902279166, 562858453, 195961142, 691374633, ( -1), 283532506, ( -1), 383444623, 993761057, 258088905, 343545495, 492781873, 7875948, ( -1), 755792197, ( -1), ( -1), 623257176, ( -1), ( -1), 264637380, 93472306, ( -1), 472456921, 684826604, 286369359, 870151970, 809972016, ( -1), ( -1), ( -1), ( -1), 248677622, 120850809, 583863039, 629094153, 503454324, 883095215, 408039040, 470828130, 927670684, ( -1), 443591683, ( -1), ( -1), 853177450, 675183187, 911108045, 19365574, 268665489, 786102682, 837662300, 945966726, 465347952, ( -1), 111236856, 502067183, 515739938, 516980132, ( -1), 778591138, 423069161, 158050282, 734273345, 66702969, 280174014, ( -1), 232393615, 46743210, 706619399, 903272878, 943463284, 623706227, 339936324, 932415443, ( -1), 959885136, 696082105, 839937203, 142415840, 985721805, 397601016, ( -1), 469464798, ( -1), ( -1), ( -1), 891208873, 204489352, 920116888, 36329907, 381574684, ( -1), 124447826, 648588801, 462640403, 115512777, ( -1), 195995199, 566886656, 713974995, 246872550, ( -1), ( -1), 56408717, 821564736, 861568537, 353303200, ( -1), 454990281, 585935819, ( -1), 92369486, 476115068, ( -1), ( -1), 300820626, 652602235, 545086550, 387337547, ( -1), 734097367, 883991633, ( -1), ( -1), 519028368, 125019054, ( -1), ( -1), ( -1), 332536212, ( -1), 126542627, 555467175, 81246780, 598947399, 820211485, 651730740, 293122864, ( -1), ( -1), 851219933, ( -1), 773936614, ( -1), 203517135, ( -1), 711974420, 797569814, 114221185, 647432692, 158434234, 833342770, ( -1), 316172238, 892974605, 354588970, 742586428, ( -1), ( -1), 497942714, 757190318, 962808607, ( -1), 605238398, ( -1), ( -1), 642355113, 734226821, 602545210, 930203011, 546877033, 382369574, ( -1), 764764323, ( -1), 623144644, ( -1), 471369123, ( -1), ( -1), 308041432, 371852907, 811382467, 812976695, 296327787, ( -1), ( -1), ( -1), ( -1), 957800290, 657596913, ( -1), 621941787, 42199597, 104241545, 493542065, 299944316, 56575982, ( -1), 441705356, 945700170, 467619501, 941773347, ( -1), ( -1), 464774021, 15557498, 778091345, 548598818, 768964240, 276169343, ( -1), ( -1), 171908052, ( -1), 738906131, 86122009, ( -1), 506367026, 871245879, ( -1), 172765169, 233369830, ( -1), 558966039, 211538235, 378813206, 920208931, 798470218, 741478625, ( -1), 513735971, 543362716, 497443842, 789934147, ( -1), 840381709, ( -1), ( -1), ( -1), 837612098, 254319829, ( -1), 844232033, 734271361, ( -1), 714338533, 263997069, 347368305, 331246111, 971590807, 615150711, ( -1), 480056897, 864434302, ( -1), 845457491, 771054989, ( -1), 471153604, 266842864, 288309211, ( -1), 140124305, ( -1), 759910910, 888237628, ( -1), 950551110, 942996916, 316117266, 156791421, 938123254, 543946063, ( -1), 266989181, 362484590, ( -1), ( -1), 692328115, 265272878, 838375520, 8213990, 353039296, ( -1), ( -1), 21597996, 934499766, ( -1), ( -1), 90110228, 8467323, 978437964, 437571870, 791925247, 188222344, 341042994, 386897253, 967092483, 716166897, 862900040, 311192577, ( -1), 338390428, 378505480, 849429592, 890614251, 982724535, ( -1), ( -1), 301346843, 302860765, 159033466, 379650368, ( -1), ( -1), 789717470, ( -1), ( -1), 358212395, ( -1), ( -1), ( -1), 655438452, 794133582, 107194889, 367794025, ( -1), ( -1), 207225481, 338948455, 996875142, 13060809, 896420994, 918604154, 494464045, 703899543, 423758860, 898032713, 741511513, 838845049, 12858172, 485801105, 650354737, 532033837, 483010288, ( -1), 57301853, 14959725, 817984467, 179381052, ( -1), ( -1), 730332626, 703225248, ( -1), ( -1), 962651901, ( -1), ( -1), 660744971, 702159509, 967893248, 481619450, ( -1), 521298384, 995574660, ( -1), 710322738, 978120428, 285920120, ( -1), 173710415, ( -1), 674991673, 166311356, 58082174, 397182489, ( -1), ( -1), 555404474, ( -1), 885950524, ( -1), ( -1), 956077144, 52088295, 866250289, 294050707, ( -1), 92241999, 874658184, ( -1), 570670383, 523740139, 292097214, 930454749, 918568748, 733432175, ( -1), 267633885, 689126423, 880111201, 947132236, 970547133, ( -1), ( -1), 520734913, 339713815, 711072758, ( -1), 441143252, 649853315, 544274923, ( -1), 991715714, 310336266, 125777051, ( -1), 556083164, 893630132, 965086207, 364276401, 33549874, 352358561, 911028936, 185497902, 135666735, ( -1), 782067879, 798192022, ( -1), 189740918, 393276544, 875648318, ( -1), 781061334, 548631368, ( -1), 841310282, 956744011, ( -1), ( -1), 421031174, ( -1), 559561087, 66769737, ( -1), 575038405, 581968816, ( -1), 46051383, 363923310, 784350659, ( -1), 873652897, ( -1), 430292014, ( -1), 16718015, ( -1), 185887782, 976832665, 962911134, 525447017, 271185322, 171088596, 683059825, 678615941, 534757352, ( -1), 71948113, 350094262, 996944415, 640103059, ( -1), 245454436, ( -1), 180474839, ( -1), ( -1), 355475391, ( -1), 619023981, 776106654, 242902565, 139115744, 216200792, 257245372, 658791045, ( -1), ( -1), 252085046, 24920183, 653756060, 301359390, 159498789, ( -1), 117134007, 298812800, 390102827, ( -1), ( -1), 539533316, 812669721, 42762712, ( -1), 831726063, 791396008, 808291994, ( -1), 339665735, 298684454, ( -1), 272237011, 477801193, 911941323, ( -1), 344765595, ( -1), 68210591, 800490216, 462309717, ( -1), 359386164, ( -1), 991633005, 3041571, ( -1), 307530937, 334209256, 785236453, 926942752, 248183921, 550988784, 896376415, 645864134, 272214110, 117816840, 47631699, ( -1), ( -1), 569931526, ( -1), 916655725, ( -1), 750235773, ( -1), 412104374, ( -1), 800090949, ( -1), 740605473, 818503405, 108573398, ( -1), 756258553, 203512989, 137475703, 185413471, 240697186, 498249630, 565590892, ( -1), ( -1), 634747612, 564849751, ( -1), 173453970, ( -1), ( -1), 293564084, 242247340, 110536428, ( -1), 862573018, 735204927, 625451431, ( -1), 466434579, 314507540, ( -1), 517300959, 563271120, 175429934, 728917626, 567374423, 504918398, 756978688, 967294586, 144239794, 456029469, ( -1), 277558531, ( -1), 648349672, ( -1), 967914144, 151966644, ( -1), 615553675, ( -1), 879845991, ( -1), 962164656, 775511338, 918511639, 874372918, 886892098, 359690479, 135117242, 883466175, 992821516, 734782005, 353219075, 484981802, 869009813, ( -1), 236270758, ( -1), 971767773, ( -1), ( -1), 879926713, 671438101, 921397778, 77439991, ( -1), 887516057, 362354463, 800856973, 329570986, 72776916, 713986158, 589974778, 761306798, 273860008, 180218104, 949519673, ( -1), 214745936, ( -1), 523672555, 620228378, 474251745, 991401011, 211363282, 209312828, 715582905, 477338408, 520861032, 948070745, ( -1), 43436728, 521138788, 689721799, 477181229, 248841921, 568019521, 975812893, 568515570, 174027200, 82000837, ( -1), ( -1), 858743476, 954928509, 261883986, ( -1), 851040029, 774390914, 686199355, 387436743, 73708175, ( -1), ( -1), 110690670, ( -1), 78365125, 802125823, 634304817, 65053093, 430974392, ( -1), 901767849, ( -1), ( -1), ( -1), 800806349, 226046784, 564602990, ( -1), 867342523, 33112175, 364064604, ( -1), 217725895, 264417258, ( -1), 171450646, 207783795, ( -1), ( -1), 338888796, 398072393, 14601055, 240972204, 687606698, 986016913, 799450543, 98163948, 853534767, ( -1), ( -1), 559661220, 546029522, 625717621, 707528394, ( -1), 510776903, ( -1), 973106856, ( -1), 504045147, 438058873, ( -1), 141319876, 265864945, ( -1), 502318119, 617181742, 458159808, ( -1), ( -1), 565023303, 503478478, 387704039, 881958529, ( -1), 980454934, 210705346, 733531070, 328753667, 241805483, ( -1), ( -1), ( -1), 33989843, 15869291, 924184293, 997237614, ( -1), 630788384, ( -1), 27883291, 401653291, ( -1), 118480965, 970353002, 674208720, ( -1), 304350768, 28547249, ( -1), 816770224, ( -1), ( -1), 387132735, 237159247, ( -1), 812129536, ( -1), 286274696, ( -1), 978628483, 964701755, 499852333, 461918057, 95543893, 701055842, ( -1), ( -1), ( -1), 757248508, 950377102, 631011023, ( -1), ( -1), ( -1), 846668898, ( -1), ( -1), ( -1), 467937556, 267679870, ( -1), ( -1), 934450831, 766876524, 366926875, 203644048, ( -1), 579141649, 35474129, 800017190, ( -1), 607749411, 617063781, 911772884, 513466448, ( -1), ( -1), 80404828, 839131892, 669475939, 577228273, ( -1), 407436916, 230598938, 131500866, 917370652, 39246769, 363430054, 878440824, 48950114, 412648323, 283334207, 876166645, ( -1), 6011096, 451905905, ( -1), ( -1), ( -1), 773600161, 59234716, 252664369, 869514366, ( -1), 165523624, ( -1), 656486604, 537652804, 986989845, 135649757, ( -1), ( -1), ( -1), ( -1), ( -1), 371616420, 355244528, 386027457, 545501524, 347441472, 415298305, ( -1), 437525897, 721228507, 552328789, 632978185, 272393567, 145359182, 65406436, 464467915, ( -1), 681943233, 414960631, 253051019, 315216933, 770738363, 762366245, 113078074, 938307489, ( -1), 334431358, ( -1), 807295849, 446174950, 275593782, ( -1), 622292489, 676267862, 861731424, 627043399, 629187454, ( -1), 792688568, 217265827, 235786454, 697854674, ( -1), 294156619, 512014147, ( -1), ( -1), 369609335, 315341517, ( -1), 31403795, ( -1), 441515345, 886278195, 398681535, 904941884, 16437217, ( -1), ( -1), ( -1), 739161423, 38580667, 325991554, ( -1), 992547084, 733693207, 47715771, 408857465, ( -1), ( -1), 634251057, 413065255, ( -1), ( -1), 165140634, ( -1), 880218144, 747962667, 905380263, 550849608, 140836195, 396065862, 582069752, 356313865, 419372567, 29251725, 969524228, 549782461, ( -1), 532435205, 347663402, 15119395, 235821136, 580549123, 329219392, 321346442, 385408670, 759125852, 374830108, ( -1), 102603159, 121996720, 751523762, ( -1), 959184476, 300125394, ( -1), ( -1), 132999275, 337393999, ( -1), 658776851, 655341405, 215296717, ( -1), 634751991, 968046596, 890983460, 446454832, 631899725, 985004906, 666822832, ( -1), 636041545, ( -1), 34752783, ( -1), ( -1), 90293754, 11807275, 848874633, ( -1), 460843786, ( -1), 573897122, ( -1), 303860756, ( -1), ( -1), 221425663, ( -1), 926098208, ( -1), 576443108, 731411023, 457513556, ( -1), ( -1), 300788303, 788239392, 852784129, 948128797, 994781786, ( -1), ( -1), ( -1), ( -1), ( -1), 499194293, ( -1), 613982044, 933528069, 460566459, ( -1), 877936257, 397229794, 863403030, 973223670, 795550886, 995447558, 985578468, ( -1), 805388709, ( -1), 657118455, 676172678, ( -1), ( -1), ( -1), 951717308, 577440193, 606379105, 369649325, ( -1), 393854916, 321184465, ( -1), ( -1), 692203794, 563645509, 126302069, 632281506, ( -1), 626297515, 32158388, ( -1), 619170421, 154736562, 316184400, ( -1), 120077616, 524775441, 585831177, 626165078, 560447095, 941563984, 99131465, ( -1), ( -1), 40277309, ( -1), 433356820, ( -1), ( -1), ( -1), 213781564, ( -1), 877343132, 407891429, 343711703, 612784040, 59102285, ( -1), 602281170, 523206089, 667125211, 711774170, 731401519, ( -1), 428752871, 256156575, 560900519, 187305653, 19962154, ( -1), 516745203, ( -1), 744679997, 954880026, 496035547, 938224587, ( -1), 661700637, 717948920, ( -1), 2931740, 141349979, 138256901, 702625860, ( -1), 134279523, 684925360, 405300010, ( -1), 773183913, ( -1), 465253539, 124610530, 943661621, 320443688, 636159177, 605668438, ( -1), ( -1), 492461190, ( -1), 51177390, 322539303, ( -1), 58908056, ( -1), 709311612, 419868172, 425656020, 12828154, 401314547, 855371212, ( -1), 594932434, ( -1), ( -1), 806137170, 31045674, 572100521, ( -1), 291196124, 689518656, ( -1), 338253930, 952296370, 964043531, 309859659, ( -1), 481198484, 879616676, 530918940, ( -1), ( -1), 537476212, ( -1), 352624626, 61523877, 165309301, ( -1), ( -1), 41927730, 256404793, 197209864, 120795200, ( -1), 353063487, 619399680, 588000189, ( -1), 964993584, ( -1), ( -1), 839425344, 768486276, 548325015, ( -1), ( -1), 304954990, 718433797, 838501213, 208274469, 402390569, 966209206, ( -1), 3000808, 886251342, 346157017, 215332525, 102594236, 985533056, 318912255, 194392750, 588033335, ( -1), ( -1), 890986249, 119101157, 936088987, ( -1), ( -1), ( -1), 17909158, 54075365, 403886949, 145901004, ( -1), 554073285, 642051039, 840008955, ( -1), 163093733, ( -1), 475382423, 896792033, 364507903, 475987678, ( -1), 745411532, 763762886, 676525108, ( -1), 33987466, 625253274, 118994310, 438513426, 819978412, 556339513, 368627194, 890136592, 283034362, ( -1), 107730756, 728328595, 570642184, 902421228, 505668239, 344842839, 134008476, 869416217, 114261298, ( -1), 665810362, 726859436, 899781286, 493590160, 518954017, 798898539, 957915308, 225105679, 791732587, 332293098, ( -1), 904411443, 263685996, 38681625, 782544155, ( -1), 748878312, ( -1), 694499119, ( -1), 785986497, 203368027, ( -1), 683407402, ( -1), 442031397, 733687643, 117814113, 290835263, ( -1), 279004106, 940673575, 699328089, ( -1), ( -1), 894651442, ( -1), ( -1), ( -1), 247251224, 120954416, 947022567, 857266719, 571284174, 168286131, 573469596, 92414285, 808074145, 267935547, 412355816, 222112178, ( -1), 638654959, 799599287, ( -1), ( -1), ( -1), ( -1), 231946932, 246746218, 602264643, 612671368, 373005123, 33242126, 242806307, 755602816, 369381462, 203523846, 889994316, 960067323, ( -1), 532135964, 810194468, 835159289, 741605783, ( -1), 467483957, 565960730, 960469148, 403258189, 566443707, ( -1), 474341013, 302418886, ( -1), 244321285, 274985772, 848779724, 846756241, 717550607, 919901745, 884729272, ( -1), 667883518, ( -1), 738694570, 317976845, 704905888, 500948077, 510960650, ( -1), ( -1), ( -1), ( -1), 573689511, ( -1), 162023447, 895384483, 30684788, ( -1), 597397409, 425472754, 841883964, ( -1), 270208529, ( -1), 349990648, 648521624, 376273200, 247802071, 581899718, ( -1), ( -1), 50571145, 749606608, ( -1), ( -1), 269277282, 331784944, ( -1), 264265403, ( -1), ( -1), 10267127, 774152548, ( -1), ( -1), 351384951, 123087021, 908719414, 165939273, 650843792, 85266481, 925596242, 156865361, ( -1), 891062466, ( -1), 299458686, 402027288, 261578335, 155188125, 339154412, ( -1), ( -1), ( -1), 515588079, 716688659, ( -1), 562680926, 262525146, ( -1), ( -1), ( -1), ( -1), 554896217, 508373334, 127239060, 457334633, 324586085, 558609760, 905963606, ( -1), 799634765, 139253231, 698091989, 528496274, ( -1), ( -1), 903914248, 87525880, ( -1), ( -1), 899466800, 82756141, 666228845, ( -1), ( -1), ( -1), 744553549, 85443369, 175246599, 832796029, 944963873, ( -1), 498452680, ( -1), 467017006, 487631558, ( -1), 947631375, ( -1), 398350980, 1551058, ( -1), 305447197, ( -1), 432881327, 669254333, 727603505, ( -1), 797203783, 657357547, ( -1), ( -1), 149967159, ( -1), ( -1), ( -1), ( -1), 361540417, ( -1), 584391806, 29067317, 482498222, ( -1), 92096354, 577498581, 792108737, 281529828, ( -1), 633175760, 420999495, 232647418, 500281129, ( -1), 927191327, 749122331, 52032439, 477179823, 36928608, 190595068, 333818505, 68557263, 759592845, 684470757, 405178364, 851178501, ( -1), ( -1), 826701117, ( -1), 716154572, 696670755, 678003322, 879072401, 563567599, 510718969, ( -1), 167831374, ( -1), ( -1), 545726545, 179727784, 194160969, 664363602, 574021846, ( -1), ( -1), ( -1), 605185413, ( -1), 462374529, ( -1), 702948676, 123773690, ( -1), 441948355, ( -1), 158561556, 601279951, ( -1), 32071907, 536451356, 554735432, 409099956, 420799375, 582441041, 53209036, 569750589, 725653593, 724207096, 846918566, 134373614, ( -1), 485612390, 711777165, 129572166, 70898675, 944586553, 333990507, 580448334, 94852382, 15519672, 986310891, 56748576, ( -1), 832518076, 767331258, 859533786, 725906188, 172276386, ( -1), ( -1), 357441966, 315885446, ( -1), 933448847, ( -1), 726760807, 459969031, ( -1), 895906268, 928022848, ( -1), 999646343, 788965541, ( -1), 822764910, 834463964, 548417853, ( -1), 834291485, ( -1), 561617072, ( -1), ( -1), 687426003, 919724138, 246003249, ( -1), ( -1), 802115712, 648247783, 624185828, 386871908, 353880512, 543083403, ( -1), ( -1), ( -1), 406930650, 393962192, 598435041, 688425166, 937288753, 20756890, 511980268, 39307347, 937719341, 418686854, 965467247, 929705010, 810817312, 932095294, 42440982, 542584439, 911536145, ( -1), ( -1), ( -1), ( -1), 389861010, 415428009, 807827451, 319882934, ( -1), 865575484, ( -1), 898586769, ( -1), 701784279, 816670872, 938265997, 958923379, 178962101, 705416888, 109526228, ( -1), 611858442, ( -1), 904258507, ( -1), 957405663, 366156654, 470526469, 387071473, 757415254, 541784535, ( -1), 641685834, 281873227, 149349489, 789217161, 515105666, ( -1), 892556086, ( -1), ( -1), 577694949, 973754548, 924227483, 202958250, 596428782, 892842701, ( -1), 808623460, 901937195, 897586486, ( -1), ( -1), ( -1), 504600622, ( -1), ( -1), 326333538, ( -1), 124749537, ( -1), ( -1), 148724584, ( -1), ( -1), 277298893, 794114811, ( -1), 176646260, 919113810, ( -1), 384070664, 699971170, ( -1), ( -1), 767247365, 615575865, 348535775, 494092655, ( -1), 112753877, 343113965, ( -1), ( -1), 408523313, 837912066, 795337901, ( -1), 517455074, 292433655, 710708287, 824674265, ( -1), ( -1), ( -1), 427012885, 127894010, 643321185, ( -1), 758193637, ( -1), ( -1), 73278490, 417910078, 171689795, ( -1), 802794840, ( -1), ( -1), 890082807, ( -1), 656047081, ( -1), 422750532, ( -1), 474473023, ( -1), ( -1), ( -1), ( -1), ( -1), 381516290, 545800071, 843813357, ( -1), ( -1), 569680295, 160559195, ( -1), 983737438, ( -1), 86959385, 161874811, 839746108, 678774793, 517430550, 382220624, 257250001, 167110157, ( -1), 608355255, ( -1), ( -1), ( -1), ( -1), 489125637, ( -1), ( -1), ( -1), ( -1), 891969992, ( -1), ( -1), 951894389, ( -1), 489406575, 106741702, 283705678, ( -1), 702985216, 136241356, 577164403, ( -1), ( -1), 711526819, 617321079, ( -1), 528433107, 612304451, 139699240, 404724765, 788435233, 908873850, ( -1), 187782668, 574493060, 628029875, 529414924, ( -1), 593814125, 630662361, 631380563, ( -1), 294304785, 172206695, 744881989, 554744009, 12736910, 498867731, 796586675, 830153887, ( -1), 263914380, 190379512, 218713168, 202852734, ( -1), 942996836, 186658607, 976917770, 883849357, 814163357, 579890323, 506821732, 378171089, 849929802, 921005098, 520702170, 951785319, 197699760, 686798323, ( -1), ( -1), 920515572, 78784143, ( -1), 710475859, ( -1), 151403286, 839330966, 414353577, 754391318, ( -1), 835162819, 346507959, ( -1), ( -1), ( -1), ( -1), 687989687, ( -1), ( -1), ( -1), 987680729, 694922431, 636721482, 191544941, 923869084, 241147822, ( -1), 451689504, 365141300, 443231083, ( -1), 228703714, ( -1), 969663201, ( -1), 242110317, 97072675, 511050283, ( -1), 115176604, ( -1), 647729680, ( -1), ( -1), 688079826, 119207677, 674650115, 772368879, 992189670, 39083352, 552423759, 227219492, ( -1), 33895376, 728399177, 737753573, ( -1), 838213090, ( -1), 748204529, 968202881, ( -1), 237241084, 857693518, 230007067, 424212282, ( -1), ( -1), 235817716, 179272454, 62387846, ( -1), 529038821, 872098780, 903976511, 85437810, ( -1), ( -1), 483125319, ( -1), 101343601, 688268509, ( -1), 41184726, 610673835, 805318809, ( -1), ( -1), ( -1), ( -1), 999102357, ( -1), 572432341, 601838982, ( -1), 435760359, 535249470, 71586970, ( -1), ( -1), ( -1), ( -1), 122254681, ( -1), 115298771, ( -1), ( -1), 66810604, 256955989, ( -1), 563765849, 774088723, ( -1), 62139478, 526811326, 558993931, ( -1), 878397004, 352066988, 437776445, ( -1), 606311493, 11905386, 224832716, 845276767, 562379076, ( -1), 496419995, 723912234, 78771581, ( -1), 522405441, 353131248, 90977228, 376994453, 182561281, 809363485, 561576002, 722431346, ( -1), ( -1), 824337735, 778456846, 774360945, 327129372, 511134687, 559002030, ( -1), ( -1), ( -1), 811392936, 52950239, 553856487, 977296572, 306943174, 881466031, 628082894, ( -1), ( -1), 921514340, ( -1), 948557649, 623525418, ( -1), ( -1), ( -1), 197612413, 375281385, 370412756, 657053371, 993762323, 559868453, 420561649, 828912506, ( -1), 355891695, ( -1), ( -1), 361779265, 820732342, 977811161, 887845256, 840089994, 455244048, 63302053, 538818833, 375566276, ( -1), ( -1), 722074721, ( -1), 708903922, ( -1), 329543090, 486922324, 77951855, 581827820, 368168072, 500272493, 289127074, ( -1), 740722530, 592725074, 965078615, ( -1), 969314801, 475051916, 959549267, 336502526, 329659512, 884681947, 849771922, ( -1), 491865835, 44253541, 181945612, 495840320, 197127046, 297181360, 118565644, 130174991, 328699451, 523668088, 393882475, 964363331, 469345032, ( -1), ( -1), 338480981, 484375848, 303669005, 838752311, ( -1), 224832495, 318245009, 26012939, 707990943, 754951917, ( -1), 497057474, 61145540, ( -1), 954908333, 225396705, 775933726, ( -1), 949667534, 455329816, 307196758, ( -1), 860332040, 582401647, 678016866, 262769880, 394061299, 552011165, 938235893, ( -1), ( -1), ( -1), 968393708, 591942844, 541808961, 597682797, 152113264, 954424468, 558964773, ( -1), 821649258, 387926052, ( -1), ( -1), 130670469, ( -1), 7739825, 679496196, 568296889, 259358624, 472690031, 934013265, 482447633, ( -1), ( -1), 243960290, 26226006, ( -1), ( -1), 591598298, 65173776, 870262279, 284217821, 136922011, 372800154, 733885198, ( -1), 433678431, 457915873, ( -1), 24613729, 1341907, ( -1), 818763621, ( -1), ( -1), 846891374, ( -1), 758397038, 99691157, 898396351, ( -1), 171310940, 485244235, 630873119, 431105634, 40276657, 448738471, 509073952, 294081263, 564178200, 499569310, 778603742, 391833676, ( -1), 906926040, ( -1), 456530666, 811791853, ( -1), ( -1), 855985539, 228735972, 951647790, 482218015, 192572934, ( -1), ( -1), 768023994, 339327624, 524688124, 247890969, ( -1), 475747083, 161475865, 582542586, ( -1), 388076160, 750920419, ( -1), 8886918, ( -1), 265916327, 711234513, ( -1), 497852925, 919626121, ( -1), 786802336, ( -1), 737468498, 366667040, ( -1), ( -1), 911974813, ( -1), ( -1), ( -1), 798857112, 862301195, 322482312, 573629940, 693014044, 993445369, ( -1), 297274862, 290031864, ( -1), 175450485, 946604520, ( -1), 82884389, 239102164, 367437919, ( -1), 793601224, 182312099, 964771753, 744727500, 737828289, 682806669, ( -1), ( -1), 770740857, ( -1), ( -1), 65154509, 790933359, 361089669, 599031638, 102535143, ( -1), 433253848, ( -1), ( -1), 205077495, 910258024, 708456715, 956996411, ( -1), 466443851, ( -1), 249405274, ( -1), 370821187, 98315450, 663837990, ( -1), 266025790, 77675118, ( -1), ( -1), ( -1), 146820632, 815550987, 558538491, 258685431, 172228587, ( -1), ( -1), 719572133, ( -1), 136916606, 122164288, 345960928, 801938899, 512332886, 683953693, 502262893, 233465424, ( -1), 945328703, ( -1), 851341824, ( -1), 32761507, 330491036, 177434158, 327105034, 914690031, 772096650, 663820472, 313284530, 389511307, 811180916, ( -1), ( -1), ( -1), ( -1), 971770331, 805920935, 672525697, ( -1), 839080832, 139650298, 479423149, 697582354, 750315517, 825667008, 644601673, 178714891, ( -1), 537740266, 731651874, 754530670, 940160372, ( -1), 815356250, ( -1), 262904070, ( -1), ( -1), ( -1), 280663058, 33220495, 817334373, 625016917, 96930264, 27812480, ( -1), ( -1), 93739008, ( -1), ( -1), ( -1), ( -1), 220355930, ( -1), 872640531, 868051937, ( -1), 219586916, 249511210, 497631924, 329387482, 267859517, ( -1), 387242604, 82501697, 283558355, ( -1), 341419281, ( -1), 303045248, ( -1), 733333226, 535468787, 322628580, ( -1), 518709894, 729823873, ( -1), 42144169, 695581523, 680600570, 453182077, 561682902, 160167842, 225487105, 367538302, ( -1), 105864519, 599059353, 492064997, 336252669, ( -1), 160537118, 960097513, 121708900, ( -1), 145464033, 605306277, 923368099, 50789701, ( -1), ( -1), 672115729, ( -1), 291001609, ( -1), 359535188, 433668707, 718553798, 991090209, 477997558, ( -1), ( -1), 686941682, 25255570, 292556752, 583344070, 808976785, 553097209, 726034823, 627402104, 343439640, ( -1), 214600671, 920423688, ( -1), ( -1), 636993325, 168590811, 360958260, 981704429, 446996908, 891703991, 272043553, ( -1), ( -1), 137067490, 357552431, 80760283, ( -1), 905408856, 364818927, 648942461, 546415394, 505598251, 663416735, 950055686, 146687274, 322998194, ( -1), 669878170, ( -1), ( -1), 28091087, ( -1), 736245774, 767506175, 816697502, ( -1), ( -1), 652360982, ( -1), ( -1), ( -1), 619703237, 118986903, ( -1), 934174181, 315234677, ( -1), 90226893, 539784158, 138159385, ( -1), ( -1), 166846280, 852711139, 852950941, ( -1), 577273529, 407297266, ( -1), ( -1), 24192004, 282569972, 796886885, ( -1), 393022072, 673569195, 341148780, 900676971, ( -1), ( -1), 184873716, ( -1), 690994176, ( -1), 698990180, 498239789, 51137705, 511668312, 193598567, 654291283, 175254226, 796208447, 338461694, 271889264, ( -1), 266246700, ( -1), 801713132, 959895746, ( -1), 595448263, 777849725, 147486637, 514040085, ( -1), ( -1), 894687269, 261108356, 119673640, 2035707, ( -1), 374350267, 468519056, 915935708, 253916918, 392840141, 266195792, 66610892, 822553417, 292927664, 278311690, ( -1), 167481142, 421659873, 53790449, ( -1), 637350629, 684550995, 297430903, 75119269, 66434091, ( -1), 550652789, 127355464, 849516700, 947686067, 104896791, 262167507, 75779759, 936231829, ( -1), 916001383, ( -1), 26624978, ( -1), ( -1), 506313124, ( -1), ( -1), ( -1), ( -1), 680386237, ( -1), ( -1), 578733064, 17527612, 245050657, 696578748, 62174597, 873552611, ( -1), 660186008, 11720310, 70155927, ( -1), 777123070, 763802267, 876675821, ( -1), ( -1), ( -1), 79669267, ( -1), ( -1), 53241569, 985268485, 255728786, 11933594, ( -1), ( -1), 986063466, ( -1), ( -1), 2725724, 272658097, 775485318, 700525930, ( -1), ( -1), ( -1), 34767013, ( -1), 130352779, 579622867, 2261911, ( -1), 406293885, 773270047, ( -1), 400284235, 51935677, ( -1), 506062263, ( -1), 501504102, 580352493, 626785181, 249270210, 742535938, ( -1), 624482336, 744151299, ( -1), 520811237, 53351629, ( -1), ( -1), 232510746, 917066132, 834450549, 453580222, 162261523, 853585797, 5835078, 852976581, 672133498, ( -1), 998928857, ( -1), 36500957, 169774238, 410915396, 75994220, 312755791, 408098561, ( -1), 38235283, 984489628, 531098287, 419281872, 559320174, 895635762, 525769331, 24906462, 224526337, 442695716, 273224100, 11155922, 901465746, 581804609, ( -1), 600322865, ( -1), 772155620, ( -1), 708825575, 363014771, 123837731, 770244786, 485099515, ( -1), 428805882, 149805769, ( -1), 983884967, 843334934, 878224912, 482977208, 487246638, 448475690, 465712376, 994041060, ( -1), 955769018, ( -1), 890353991, 132696075, 282159431, ( -1), ( -1), 227596043, ( -1), 171697550, 586519761, ( -1), ( -1), ( -1), 59178406, 53652639, 129745056, 452075667, ( -1), 350958746, 25215852, ( -1), 495843451, 263415352, 178067900, 520695429, 505357279, ( -1), 192274899, ( -1), ( -1), 644812737, 168098748, 826963556, ( -1), ( -1), ( -1), 860987909, 790439003, 683705289, 572830728, 597739614, 175925728, ( -1), 35840087, 751565271, 563072568, 799849848, ( -1), ( -1), ( -1), 902567152, 877480342, 791026602, 678781284, ( -1), 271237143, 120808253, ( -1), ( -1), 492513972, 291045844, ( -1), ( -1), 569248449, 575420078, ( -1), ( -1), 831553464, ( -1), 368945302, ( -1), 401096023, 638280657, ( -1), ( -1), 68567954, 569589026, 634845750, 916516671, ( -1), 664869691, 613302764, 843712271, ( -1), 230352517, 2567664, 863035553, ( -1), 263182623, 213880846, ( -1), ( -1), 598047502, 634296264, ( -1), 96277808, 918033373, 745175737, ( -1), ( -1), 931085808, 784422801, ( -1), 553656449, 441393773, 105895687, 140248141, ( -1), ( -1), 465580862, 639262856, ( -1), 946882732, ( -1), 893576209, 705160162, 784353637, 865133888, ( -1), 232476702, 459245028, 547892539, 527406814, 991014077, ( -1), 937955595, ( -1), ( -1), ( -1), 555228622, ( -1), 861330563, ( -1), 12037057, ( -1), ( -1), 990986455, ( -1), ( -1), 359453701, ( -1), 592334724, 644690437, 469133223, 404616525, 520290846, 334447584, 733920987, 609747589, ( -1), 998297439, ( -1), 593518979, 474870634, 404888363, 910535448, 790166839, 82721053, ( -1), ( -1), 594219619, 482219582, 378361499, 745461983, 833541924, 795300442, ( -1), 386291728, ( -1), 656970665, 504806954, 263852596, 58500798, 803524853, 981800322, 445973731, 222443660, ( -1), 486205807, 148403660, ( -1), 34959125, ( -1), ( -1), 278379607, 903775567, 746989866, ( -1), ( -1), ( -1), 657941461, 728103652, 604566093, 423966444, 482043339, ( -1), ( -1), ( -1), 448160419, 756840583, 97043371, 258539153, ( -1), 944084335, 440222721, ( -1), 331240273, 528245935, 608009904, 312741732, 995246571, 301648967, ( -1), 3735556, ( -1), 465910474, ( -1), ( -1), 865859440, 114422995, 262393667, ( -1), ( -1), 724239462, ( -1), ( -1), 708883371, 378961535, 466112105, ( -1), 719267734, ( -1), 150700215, 300059456, 100186703, 416848340, 588658238, 858747960, 753125280, 131239199, 813266776, 411377837, ( -1), 468163293, 265717903, 625793914, 96069747, 400604506, 655543770, ( -1), 278735476, ( -1), 303372665, 382130399, 728881563, ( -1), 647258710, 367950714, ( -1), 649226966, 669142352, ( -1), 2972533, 893779407, 232717913, 948915592, 31003867, 215368567, ( -1), 836952524, ( -1), 236327429, 682305772, 277844823, 996054476, 35999242, ( -1), 897987327, 908918946, 902728593, ( -1), 973853518, ( -1), 856937250, 447478708, 218746423, 574257316, 617896171, 311712752, 447025875, 367676820, 168846840, ( -1), 636367543, 820747935, 734663628, 46610881, 866763674, 336831397, ( -1), 37708401, 312566621, 812530144, 970829729, ( -1), 280482048, 106462641, 526891648, 729227621, 202406213, 956455968, ( -1), ( -1), 816674459, 114215897, ( -1), 729304749, 905055773, 568625536, 498249142, 159305287, 745256196, ( -1), 637935375, 835297541, 150667906, 645237244, 486403325, 432350481, ( -1), 202904896, 909110955, 397062100, 583269450, 797611841, ( -1), ( -1), 796392618, 524375111, 705896508, 848129458, 425269755, 869192774, 114121284, 529254725, 744506840, ( -1), 70151161, 113814318, 901786391, ( -1), 322856397, ( -1), 160455565, ( -1), 819416979, ( -1), 568789632, 746524031, 594403590, 966759705, 35079267, 61449452, ( -1), 7726870, 280369942, 54994250, 974816385, 106125964, 311277109, ( -1), ( -1), ( -1), 189673473, ( -1), 372249634, 943051645, ( -1), 362743698, 132433427, 623933225, 718209718, 549937943, 643693928, 451319856, 544900725, ( -1), ( -1), ( -1), 320913267, ( -1), 812808919, 223886722, 187552157, 689086971, ( -1), 286704860, 389631682, 1415327, 593497607, 642613752, 633108393, 382319732, 611276460, 512896459, ( -1), 805679246, 440277232, ( -1), 193487854, 54347306, 568975094, ( -1), 564944000, 274590524, 236977163, 564238479, ( -1), 15285002, 206175514, 953257259, ( -1), 178751094, 129839835, 124760837, ( -1), 148875408, ( -1), ( -1), ( -1), ( -1), 906409011, 413524158, 878639979, ( -1), 57175847, 336722610, 918150931, 105156524, ( -1), ( -1), ( -1), 87195115, 80627149, 651972182, 149802734, ( -1), ( -1), 288423583, 995144905, 632082809, ( -1), ( -1), 273062714, ( -1), 162872662, 511429973, 205355869, 564257026, 435100114, 701463639, ( -1), 336171055, 881888553, 196523839, ( -1), 354748467, ( -1), 270988855, ( -1), 551599449, 740122560, 302164863, 256128284, 425785667, 395527942, 170050303, ( -1), 801996702, 888173476, 49229834, 553369214, 977362388, 339057575, ( -1), ( -1), ( -1), 908080853, 236934880, ( -1), 450783772, 91640133, 661365260, ( -1), 299065230, 259320045, 933585054, 366427571, 611975001, 422934565, 423099611, ( -1), ( -1), 171284309, ( -1), ( -1), ( -1), 116805772, 135720044, 671377693, 154158511, 249937523, ( -1), ( -1), 149583870, 814532738, 54327113, 91480020, 896707825, 38194823, ( -1), 143893880, ( -1), 189543716, 900674868, 702222005, 99892755, 387679731, 72549714, 215999946, 884980011, 604446737, 119898928, 187407544, 103404110, 644609597, ( -1), 678591312, ( -1), ( -1), ( -1), ( -1), 798206131, 1735943, 674395672, 431778398, 381957944, 727627546, 24628928, 668673461, 571704913, ( -1), 253484439, 79407986, ( -1), ( -1), ( -1), ( -1), 718734306, ( -1), 588089628, 264012316, 979808067, ( -1), 982652843, 806218698, ( -1), ( -1), 848793567, 567978337, 771505649, 53670077, 745659595, 597190243, ( -1), 323247879, 264996868, ( -1), ( -1), 870005913, ( -1), 454988759, 793375979, 950271438, ( -1), 592312809, 828073822, 685398422, 573153881, 211807775, 323292586, 425327309, 917347980, ( -1), 202101767, 968121234, 59321246, ( -1), 991196205, 493938304, ( -1), 687657679, 564874618, 875544958, 636217556, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 723045057, 996696458, ( -1), 483279180, ( -1), 365585933, ( -1), 94849050, ( -1), ( -1), 851262129, 958877210, 388210944, 350877190, 406394221, ( -1), 480183978, 804095938, 689407378, ( -1), 192678885, ( -1), 107279652, 177014315, 168467380, ( -1), 799298606, 794657238, ( -1), ( -1), ( -1), 926195122, 538616207, 475679269, ( -1), 58316979, 338375699, ( -1), 999227557, 368611131, 776637408, ( -1), 648511288, 943365631, 370864533, 723714046, 845186928, 949626016, ( -1), ( -1), ( -1), ( -1), 652884421, ( -1), ( -1), ( -1), 730540681, 593870855, 623605131, 579553609, 969419224, 274289870, 479611514, 858393866, 17560342, 44636397, 941824398, 391232213, ( -1), 985635197, 190952176, 98938996, 247663038, ( -1), ( -1), 740100395, 228574973, 437854680, ( -1), ( -1), 717780322, ( -1), 641193069, 691895130, ( -1), ( -1), 608894159, 593444442, 553820539, 274566852, ( -1), 195878988, 439677691, ( -1), 142868875, 180808048, 340548255, 789097517, ( -1), 274405576, 12114503, ( -1), 107132789, 185624246, 569641563, 841996248, ( -1), 793609888, ( -1), ( -1), 736588802, ( -1), 122224719, 301868524, ( -1), 587191706, 289312054, 217252982, 662454453, ( -1), 103393592, 87155415, 642756949, 231817986, 571010781, ( -1), 125041808, 93968634, ( -1), 975964666, 800643377, ( -1), 962683068, 428551677, 722353109, 429711254, 444613447, 508341235, 74412425, 911447492, 612589244, ( -1), 462380711, ( -1), 47604503, ( -1), 271414555, 696510489, 474937925, ( -1), 29945264, ( -1), 626544625, 387353060, 967197282, ( -1), 697891229, ( -1), 347024779, ( -1), 51314666, ( -1), 652560599, 816414583, 401345750, 298085772, 575570342, ( -1), ( -1), ( -1), 117066236, 465881251, 371874067, 699957778, ( -1), ( -1), 578643574, 615374888, 830723292, ( -1), ( -1), 248584435, 558121102, ( -1), ( -1), ( -1), ( -1), 461502339, ( -1), 832012413, 939304696, ( -1), 368172451, 584439884, ( -1), 380589001, 684070038, 872724556, 334809632, 138862425, 752891161, 757057397, 244560321, 905253338, 470529305, 232209255, 880063349, ( -1), ( -1), 589855361, ( -1), ( -1), 498545834, ( -1), 123757856, ( -1), 735563376, 79694039, ( -1), 22626278, 503773132, 602493504, 381335006, 704393884, ( -1), 717734644, 586523876, 220001462, 457864073, 693536303, 918008666, ( -1), 463632071, 264330918, 687919286, 90042022, 754670124, ( -1), ( -1), 875715580, 763197798, 113348796, ( -1), 12599096, ( -1), 505420197, 191415866, 625694902, 706874, ( -1), 449697835, 49806391, 280470450, ( -1), 449625583, 480749462, 470407236, 968203391, ( -1), 663714764, ( -1), 560271136, 864281174, 913356268, ( -1), 925316510, ( -1), 410405182, 1641700, 328540339, ( -1), 892724325, 119213534, 728607043, 586556131, 42440369, 59057109, 676019245, 610414981, ( -1), 433575351, 732918445, ( -1), 350995221, 746452701, ( -1), 66955464, ( -1), ( -1), ( -1), 228536181, ( -1), 833947994, 691153032, 906239093, ( -1), 127425911, 479339344, ( -1), ( -1), ( -1), 835126527, ( -1), ( -1), ( -1), ( -1), ( -1), 497477992, 470329018, ( -1), ( -1), 458747980, 84764074, ( -1), 828518606, 606705338, ( -1), ( -1), 801087792, ( -1), 670015726, 806449038, 818316744, 536481354, 998573673, 303183562, 800243498, 711516261, 829862926, 98287381, 17043054, 766236030, 159383895, ( -1), ( -1), ( -1), 575804681, 390331942, ( -1), 49263493, 318698508, ( -1), ( -1), ( -1), ( -1), 661397871, ( -1), 703071205, 665174375, 972524596, 105595688, 704486331, 655571405, 950001145, ( -1), 87431918, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 989400232, ( -1), ( -1), 366234929, 282357596, 357594793, ( -1), ( -1), ( -1), 150903394, 584527678, 759440014, ( -1), ( -1), ( -1), ( -1), ( -1), 347418456, 921582220, 891118009, ( -1), ( -1), 305979782, 127466568, 874918229, 991280538, 155427095, ( -1), 59029040, 642365890, ( -1), ( -1), 901068833, ( -1), ( -1), 261270918, 200919134, 749847278, ( -1), 640308166, 979206312, 809465443, ( -1), 517390363, ( -1), ( -1), 661267949, 876012905, ( -1), 642412598, 555578880, 651558857, 845375032, 595206820, 572226115, ( -1), 63247909, 942854310, ( -1), 150125989, ( -1), 181555790, ( -1), 5409643, 704101738, 469207117, 533832490, 624875164, ( -1), ( -1), 813365064, 483720446, 146390966, 72837969, ( -1), 794431503, 566573084, 62146725, 525102638, 781333557, 53210646, 562730413, ( -1), 633399852, 594616330, ( -1), 652587314, 821587973, 763689383, ( -1), ( -1), ( -1), ( -1), 927120998, ( -1), 293313476, 867879944, ( -1), 589575090, 82049690, 886006270, ( -1), 460100426, 364914662, 172664440, ( -1), 469949676, ( -1), 130166102, 123692517, 391716852, ( -1), 547588442, ( -1), 30346394, ( -1), 909693764, ( -1), 982230019, ( -1), ( -1), ( -1), 833571553, 394996159, 570045565, 369902479, 567197858, 408154475, ( -1), 5988426, 781322352, 894847563, 128543517, 821158025, ( -1), 574183938, 578445472, 581563901, 853091473, 823845423, ( -1), 592098503, 665274072, 982875591, ( -1), ( -1), 979437289, 276505050, ( -1), ( -1), ( -1), 403574570, ( -1), ( -1), ( -1), ( -1), 462841836, ( -1), 800336067, 588748799, 962121289, 861044595, 460306035, 669803533, ( -1), ( -1), ( -1), ( -1), 99892827, 896236480, 593470426, 913614502, 422277042, 910602813, ( -1), 95442206, 601290184, 303887595, ( -1), 822563900, ( -1), 470397449, 196866711, ( -1), ( -1), ( -1), 371240712, 646987404, 33203324, 68832805, ( -1), 396703485, 36862460, 162748805, 509954098, 362317237, ( -1), 819959791, 727699053, 578271403, ( -1), ( -1), 985686150, 193922493, 824193068, 758294390, 866272280, 344866156, 12613117, 237109767, 218435664, 496257828, ( -1), 206154915, ( -1), 424501619, 557667011, 948330703, 23765663, 605730269, 292498611, 163424064, ( -1), 745896078, 132900196, 213771708, 739603204, 922127003, 854541792, 295315315, 246488814, ( -1), 829297232, 449364665, 454213077, ( -1), ( -1), 937711139, 653089008, 617636484, 889621312, ( -1), ( -1), 304693572, 729420208, 952001448, 927066266, 255224033, 816797282, 700705529, ( -1), 861805504, 300300856, 94374638, 705960180, 846811081, 914513863, 263442429, 506274494, ( -1), 580767335, ( -1), ( -1), ( -1), 761157009, ( -1), 103697033, 646064655, 342562133, 956466256, 466728175, 56563171, ( -1), ( -1), ( -1), 503502938, 899286365, ( -1), 472132120, 169409161, ( -1), 576165155, ( -1), 407141985, 796028462, 242126117, 628553252, 588554432, 668888134, 372125753, 808060181, ( -1), ( -1), 576828236, 361533735, 604614907, 177148173, ( -1), 850170614, 419735277, 56704362, 88530983, 401909654, ( -1), ( -1), ( -1), ( -1), ( -1), 605382740, 90265357, 413834115, 66093272, ( -1), 43649678, 423023280, 390562761, 566995433, 183279893, 152963883, ( -1), 705281467, 930216924, 497069949, ( -1), 945421126, ( -1), 943833237, 894401923, ( -1), 680441680, 62037806, ( -1), 674527194, 716921905, 374570248, 994834174, 487494223, 437669009, 390106472, 228227510, 854580544, 568438785, 414894903, 765168392, 534763772, ( -1), 805246862, 818860097, ( -1), 928812593, 82649346, 502228628, 102694813, 927611190, 850199359, 536966700, 953489110, 49407790, ( -1), 333193819, 898735973, 615804258, 947315714, 485129921, ( -1), 683320163, ( -1), 974530105, 450184648, 800388444, 150382749, 544229158, ( -1), 106681858, ( -1), 231660454, ( -1), ( -1), 128622334, 90670865, 689746866, 934228715, ( -1), ( -1), 95997765, 487288810, ( -1), ( -1), ( -1), ( -1), 235278977, 594649310, 590722492, 817451358, ( -1), 709991467, 939310609, 208605638, ( -1), ( -1), ( -1), 247519300, 837186714, ( -1), 780170847, ( -1), 231919065, ( -1), ( -1), 669787577, 575380759, 66055353, 69894928, 659238552, 676459827, 436936683, ( -1), 632057170, 294837917, ( -1), ( -1), ( -1), ( -1), ( -1), 367187817, ( -1), 997225409, 489354476, 567906584, ( -1), ( -1), 459625704, 496068589, 540036159, 299995405, ( -1), 349225707, ( -1), 934080782, 20781407, 482309353, ( -1), 746845826, 95883985, ( -1), 910472169, ( -1), 882881860, 772109830, 315429164, 370858315, 743629766, 230958454, 81186230, 308568226, 634515291, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 267911569, 200045251, 403970354, 248445774, 487206965, 421392833, 978753528, ( -1), 931921753, 276199466, ( -1), ( -1), 368486635, 467717564, ( -1), ( -1), 571008842, 962104394, 917169419, 2215220, ( -1), ( -1), 46746992, 326233399, 347461909, 827265159, ( -1), ( -1), 882661647, 328995623, 93594638, ( -1), 988579006, ( -1), 924494605, ( -1), ( -1), ( -1), 61396166, 432829977, 607119923, ( -1), 684989075, 139474858, ( -1), ( -1), 52307112, 240522978, 26582397, 851647951, 74537954, ( -1), 872065265, 144267194, ( -1), 975925847, 705921637, 346891994, ( -1), 550962181, 38587805, 871891954, ( -1), 26535681, 387720671, ( -1), 248230699, 123640425, ( -1), 924540454, 867290671, ( -1), 109838898, 179669709, 515054135, 209478076, ( -1), 121561110, 188252486, ( -1), 518197892, 887988483, 761922705, 454810075, 251152616, 73882246, 502233880, 177462282, ( -1), 35450958, 921430160, ( -1), ( -1), 10996954, 32602172, ( -1), 372028239, 312089922, 196032428, 700302009, 978430272, ( -1), 252578072, 71142491, 260314061, ( -1), 829156329, 290243651, 587739675, 83176197, 395311030, ( -1), 47875022, 282055011, ( -1), ( -1), 278650545, 400367919, ( -1), 385693475, 621783441, ( -1), 574586897, 395339211, ( -1), 476070196, ( -1), 849731319, ( -1), 845148988, ( -1), 23739219, 84968246, ( -1), ( -1), ( -1), 113506850, ( -1), ( -1), 512937002, 568688996, 932335897, 233532878, 304582302, 637933349, 954435834, ( -1), ( -1), 28328972, 881777390, 802330300, 113327822, 60296866, ( -1), ( -1), 428017138, 747420101, 634140923, ( -1), 935265133, 469775911, 195988705, ( -1), 818130303, ( -1), 552425878, 231296551, ( -1), 332623627, ( -1), 625786762, 717484456, ( -1), 792062667, ( -1), 381611391, ( -1), 464236545, 260294437, 27319769, ( -1), 755119482, ( -1), 95262393, 596942672, ( -1), 719675641, 954610239, ( -1), 670255576, 631429153, ( -1), 870218494, ( -1), ( -1), 106894456, 9015455, ( -1), 756493867, 11198828, 949168355, 9699661, 232516717, 919962824, 986173636, 884864312, ( -1), ( -1), 485791879, 394146603, ( -1), 534843085, ( -1), 813958917, 192236297, 609072478, ( -1), 927016535, 152261114, ( -1), ( -1), 53021992, ( -1), 871324371, ( -1), 63182702, 982661168, ( -1), 986479086, 296827500, ( -1), 308805677, ( -1), 191800468, ( -1), ( -1), 992536080, 631613893, 379755039, 480499655, 299154956, ( -1), 549076683, 55549439, ( -1), 903627255, ( -1), 59189390, 757780541, ( -1), 452026138, 843273967, 627032167, ( -1), 511953783, 354809946, 735301620, 417827639, ( -1), 999621291, 250123099, 646596802, 879912726, ( -1), ( -1), 944616925, 477761656, 688283510, 593461755, 491775119, 266762090, ( -1), 488888501, 573149829, 305901100, 833396191, 336787879, ( -1), 298535624, ( -1), 22433139, ( -1), 56872786, 200807653, ( -1), 981429712, 440195464, ( -1), ( -1), 425268066, 717532456, 532747570, ( -1), 404830042, 429566590, 663607677, 45525814, 985103919, 239729429, ( -1), 544671380, 855329278, ( -1), 240809238, 710489446, 313040053, ( -1), ( -1), 16281221, 181139091, ( -1), 621728091, 967841487, ( -1), 714846746, 606464752, 201199025, 371944725, 642930326, 918944975, 916664842, 818744439, 604996858, 616092145, 815443729, ( -1), ( -1), 274845337, 40474433, 130632416, 150955047, ( -1), ( -1), 586851812, 415860018, 654085891, 650170875, ( -1), 761380530, 120905396, ( -1), 226116127, ( -1), 998993547, 271403069, 984407396, 829575961, ( -1), 771768526, 920981388, 425796561, 597807879, 78816033, 853200080, 287244875, 577848154, ( -1), 467805777, ( -1), ( -1), 607768415, 269740166, 722673958, 242170686, 605521711, 649202967, 85566581, 166731111, 766839681, 507828737, 740689193, 499633978, 989145915, 2563786, ( -1), 472135028, 18017972, 936310281, 809311223, 666202680, ( -1), ( -1), ( -1), 935538048, 707776922, ( -1), 379274253, ( -1), 532079547, ( -1), 497350581, ( -1), 645357033, 187309339, ( -1), 698656498, 136589459, ( -1), ( -1), ( -1), 19192111, ( -1), 574475053, 82251264, 948836982, ( -1), ( -1), 955670329, 25420356, ( -1), 89307869, 713022468, ( -1), ( -1), ( -1), 335709701, 596734217, ( -1), ( -1), ( -1), ( -1), 132015143, ( -1), 232722197, 951393019, ( -1), ( -1), 94434671, ( -1), 432867437, 720321817, ( -1), 579675639, 304450748, ( -1), 828616934, 495109237, 4656201, 373340450, 251801787, 502169677, 257791893, 313044540, ( -1), ( -1), 586428076, 173642279, ( -1), 742596239, 561690363, 961505148, 411238890, 472715945, ( -1), 811197004, 539838848, 262585647, 76300810, ( -1), 333262402, ( -1), ( -1), 443477609, 597482553, ( -1), ( -1), ( -1), 346878758, ( -1), ( -1), 340177929, 924245090, 768973619, ( -1), ( -1), 52300086, 27465300, 26888994, 116211624, ( -1), 947501367, 453806465, 382994366, 834264626, ( -1), 206856022, 40769922, 60373899, 277346988, ( -1), 701223257, ( -1), 886376855, 475478017, 602256834, 214727724, 501718629, 820742667, 138447698, 330888981, 725993577, 58129909, 13958708, 160186888, 523261888, 668372638, 43495533, 760126992, 44662012, 691154094, ( -1), 938134691, ( -1), 29959545, 684315486, 617817687, 598087598, 463824366, ( -1), 651066087, ( -1), 484998463, 998486422, ( -1), ( -1), 225663689, ( -1), ( -1), 961530399, ( -1), 532890290, 177522987, 992281871, 328683366, 260569431, 333471093, 551392851, 381824201, ( -1), ( -1), ( -1), ( -1), 548785819, 194452841, 636934379, 491749239, 235558102, 704074548, 463999170, 859020041, ( -1), 83364611, 540333991, ( -1), 927725576, 409817074, 966343846, ( -1), 148814416, 403670406, 807106557, 238228565, 193083671, 524777841, ( -1), ( -1), 339377404, ( -1), 880116110, ( -1), 664856845, ( -1), ( -1), 997465740, ( -1), 622830897, ( -1), 289995545, 577075897, 407307285, 663228159, 415059894, ( -1), 463997863, ( -1), ( -1), 89577109, 725802396, 909305629, 567882588, 663792816, 227369062, 68731602, 186610881, 389456355, ( -1), 242129107, ( -1), ( -1), 984538533, 73269873, 340214852, 554327527, ( -1), 339383486, ( -1), 910460105, 635728469, 52049657, 211846437, ( -1), 823969224, 307001125, 986691927, 210063445, 503709028, 233597122, 477465769, 518779412, 763698560, 318746610, 241793453, ( -1), 52096958, 198671300, 37752511, ( -1), ( -1), ( -1), 981370817, 193612162, ( -1), 537286604, 312843334, ( -1), 347092063, 919705290, 547688325, ( -1), ( -1), 816771445, 43007067, 979356992, ( -1), ( -1), 403452479, 995590909, 871449339, 952834400, 653142122, 121079547, 934762871, 809858366, ( -1), 44701846, ( -1), 816913680, 831978075, ( -1), ( -1), 55971751, 833714709, 725249373, 752974406, 326022409, 388912355, 393176404, 888911309, 58347150, 115429874, 309686260, ( -1), 286973473, ( -1), 598046480, 165554392, 950828700, 948550905, 740566058, 839611170, 467125150, 890686530, 330682612, 703661214, 747154630, 682777763, 588488522, ( -1), ( -1), ( -1), ( -1), 247156585, ( -1), 301556846, 459966682, 919075064, 500004978, 807017792, ( -1), 902702757, 237334494, 464732383, 124731411, 748663211, ( -1), ( -1), 631068266, ( -1), 532495346, 155711068, ( -1), ( -1), ( -1), ( -1), 68051174, ( -1), 876976008, 257226935, 130301221, 19128138, ( -1), ( -1), 820631920, 765564458, ( -1), 615584776, 746090658, ( -1), ( -1), 566797865, ( -1), ( -1), ( -1), 996212490, 653613334, 173011504, ( -1), 204476837, 656765166, 891794703, 71002724, 724796666, 79862740, 282202528, 369227670, 852731871, 79881840, 271588470, 749638684, ( -1), 329478798, 712925980, ( -1), ( -1), 958368277, 816589957, ( -1), ( -1), 512455090, ( -1), ( -1), 499017520, ( -1), 874961353, ( -1), 901201439, ( -1), ( -1), ( -1), ( -1), 258120279, 604558575, 901948449, 955009937, 467522042, ( -1), 584208971, 128154463, 694811044, 759269204, 620727834, 477373828, ( -1), 918910626, 208077663, 530842918, ( -1), 58528954, 501103172, ( -1), 487551639, 631096842, 359909459, 684486256, 803575937, ( -1), ( -1), ( -1), 145181690, ( -1), 487426088, ( -1), 164630331, ( -1), 814536573, ( -1), ( -1), 27918198, 427073533, ( -1), 517350856, 913734271, ( -1), 692855332, 186062624, 202723937, 995226230, 608432567, ( -1), 292601042, 833010403, 979773718, 565181151, 88156077, 842743903, 855776159, 611170862, 744828160, 674158442, 360929039, 807675561, 568418318, 927340944, ( -1), 327012875, 609664842, 754309738, 186852413, 99197193, 674855566, 465248352, 575670878, 676963663, 245242616, ( -1), 322574719, 460837670, 258472331, 220766760, ( -1), 774913385, 393255198, 95358554, 383807031, ( -1), 286018028, 784919843, 83428765, ( -1), 55264166, 754609055, 838176707, 881903639, ( -1), 467161559, 696399733, 754593818, 192409719, 431262139, 76657003, 234761229, 557371365, 57956160, 654295433, 960173614, ( -1), ( -1), 762516775, ( -1), 599852853, 226775248, ( -1), 25462090, ( -1), 97329882, 361566443, 51533969, ( -1), 597419499, ( -1), 459171912, 781681722, 372539414, 375207571, 817409539, 457637207, ( -1), 485213152, ( -1), 298770705, ( -1), ( -1), 539570179, 95479451, 814024621, 63342624, ( -1), ( -1), 751427792, 901558866, 702573310, ( -1), ( -1), ( -1), 795204272, 817411650, 769412701, 694223312, 900503997, 250713772, 527472590, 274065877, 742646721, 617467723, ( -1), ( -1), 75597755, 526462898, 982353204, 13249156, 896076386, ( -1), ( -1), ( -1), 405780919, 77688258, ( -1), 861050471, 674859238, ( -1), 508790547, 642107244, 777781620, 71340640, ( -1), 134574799, 540606510, 343143476, 820766921, 757882433, ( -1), 323511569, 271276591, ( -1), ( -1), 627184552, 844436152, ( -1), ( -1), 732659341, ( -1), 975174310, 867917689, 219552020, ( -1), ( -1), 215454373, 416213006, ( -1), 785881168, 336209396, ( -1), 774034175, ( -1), 36045264, 276180958, 334729844, 503969219, 304432095, 607749735, 147785588, 989967466, 365334148, ( -1), ( -1), ( -1), 795130573, 12881199, 761779591, 685972361, 291845102, 891129467, 746607201, 938903533, ( -1), 559678539, 252688188, 93369414, 101409231, 609759865, 658146179, 700200613, 932667032, ( -1), ( -1), 320719984, 972721151, 301412420, ( -1), 118341936, 944540991, 864573540, 730550756, 98737692, 695473140, 887464533, 4822917, 833748051, ( -1), 892108046, ( -1), 896207869, 448076748, 774146534, 193741966, 880607548, 754435479, 678530505, ( -1), 543146777, ( -1), ( -1), 426966614, 690132554, 62480137, ( -1), 845783864, 369273268, 204085414, 822500451, 50028991, 485093724, 715092438, ( -1), 438092025, 84417074, 157109661, ( -1), ( -1), 994238449, ( -1), 500623807, 231421843, 545144045, 673865829, ( -1), ( -1), 104157515, ( -1), ( -1), 772019999, 179452137, ( -1), ( -1), 185379985, 843484189, 911593676, 248211523, ( -1), 342474199, ( -1), 522396265, 821716244, 255713996, 964889036, 853177410, 471061812, 212753779, 528908688, 981015135, 338800765, 610659282, ( -1), 277425386, 226466701, 581564849, 436113135, 329399279, 981314331, 90406058, ( -1), 454938983, ( -1), 474265771, 785359854, 611527245, 690273975, 425423596, ( -1), 32653042, 104441274, 599174738, 693352747, 121187420, ( -1), 925172921, ( -1), 931943044, 546076076, 595372503, 812446451, 580873514, 736777041, 945634254, 300986966, 158561935, 814252723, ( -1), 447846840, 879011821, ( -1), ( -1), 310456227, 217174701, 133111254, 122755991, 563210904, ( -1), ( -1), 922725265, 557952032, 525234545, 690612567, 816192792, 660586865, 270677488, 928799467, ( -1), 271065871, ( -1), 434058806, 653453728, ( -1), ( -1), 445538336, ( -1), ( -1), 797875543, 43273790, 84983474, 352409318, 246008851, 471772499, 317961834, 917788926, 433131151, 692867164, ( -1), ( -1), 925095538, 383286297, ( -1), 41246989, 480212340, ( -1), 586960199, 193373167, 878438615, 751024369, 164777623, 65163984, 417988498, 286350567, 140455169, 435858968, ( -1), ( -1), 783532460, 198995440, 591253441, 394112200, 487557484, ( -1), ( -1), 20575640, ( -1), 18658813, 713562148, 211028371, ( -1), 975372424, 668620177, 682219247, 466073729, 571712524, 571605868, ( -1), ( -1), ( -1), ( -1), ( -1), 701479219, ( -1), 242541867, ( -1), ( -1), ( -1), ( -1), 735555982, 544692190, 167375976, ( -1), 90513411, 808467281, 799217618, 665073694, ( -1), 423938528, 500508573, 448430966, 613314321, ( -1), 495515960, ( -1), 959266805, 136181877, 842337933, 505879491, 504295133, 460481329, 186711263, ( -1), 849308830, 358439159, 669142167, ( -1), ( -1), ( -1), ( -1), 577530933, 480877266, 196843668, 532417875, 316051023, 203900444, 355733722, ( -1), 248309333, 843175723, 286804288, 827792410, 560241175, 959719894, ( -1), ( -1), 843431138, 266624156, ( -1), 783365060, ( -1), 399513905, 371363444, 855574500, 539255889, 531633166, ( -1), 254981475, 440482307, 147522923, 606310441, 533175704, 667592144, 787147897, 131477585, 186456772, 571077683, ( -1), 363512971, 332409072, 682313288, 526132839, 577868114, 651372776, ( -1), 432223441, 412108048, ( -1), ( -1), 91589738, ( -1), ( -1), 159840774, 423321599, 845596855, ( -1), 682961763, 632652741, 224964080, 363923919, ( -1), ( -1), 984571952, 975038723, ( -1), ( -1), 704202396, ( -1), 468385418, ( -1), 200611776, 222373230, 874916057, ( -1), 613273495, 678494162, 852322355, 232925544, ( -1), 473242367, 653267755, 51425753, 749129278, 409849580, 561781938, 568955872, ( -1), 921534483, ( -1), 963017237, 820800269, 864662112, 197589235, 287317199, 966881139, 644405375, ( -1), 906958882, 359722614, 147720086, 489616050, 680697325, 235881331, ( -1), 821821463, ( -1), ( -1), 109758475, ( -1), ( -1), 422685031, ( -1), 550151461, ( -1), 296165039, 307998788, ( -1), 670399712, 66980253, 95457730, 474427808, ( -1), 23012520, ( -1), 523119963, 757495320, 721207772, 699699127, 294816667, 195620394, ( -1), 588985924, 372367248, 599199735, ( -1), 254637783, 284685024, ( -1), 98463368, 717335478, 676491766, 228629318, 818387663, ( -1), ( -1), 272166045, 279363633, 798189849, ( -1), ( -1), 155093229, 883868748, 891510099, 893069994, 30338093, 31329577, 728674602, 223469788, 888639106, 653355838, 60740379, ( -1), 890618905, ( -1), 351297187, 641384671, 472530726, 318420181, ( -1), 613370024, 725593466, 73444979, 132312319, 582075619, ( -1), ( -1), 375001460, 368912728, 368137436, 345702619, 496137163, 405047235, 964123688, 654882632, 821416571, ( -1), 605679069, ( -1), 412462528, 97629661, 821716800, 891794798, 663954818, ( -1), 451384432, 628459512, 1753700, 815934540, ( -1), ( -1), 311480038, ( -1), ( -1), ( -1), ( -1), 441319688, 254452083, 765018830, 313542131, 131319814, 872599203, 990031638, 227959939, 149445934, 648529177, ( -1), 653976500, 744822788, 451983404, ( -1), 442783951, 759996221, 508439539, 121420003, 722161868, ( -1), 924272346, 957236061, ( -1), ( -1), 327858175, ( -1), 762772396, 29612297, 638620754, ( -1), 211074415, 468139428, 382060062, ( -1), 220071356, 650459976, 961360162, 36640335, 600576706, 982588268, ( -1), 889371288, 908258649, 696109620, ( -1), 434142779, ( -1), 185563777, 598547827, 233243906, 273544267, 815532429, ( -1), 514253185, 500650335, 240762323, 575336226, ( -1), 133319612, 189015396, ( -1), 587064872, 771815443, ( -1), 325747574, 796399729, 559176666, 248504139, 592791345, 799126719, 311394174, ( -1), 660544192, 97885298, 597022477, ( -1), ( -1), 167852319, 8414763, ( -1), 593491009, 728923767, 980204106, 748414427, 139243552, 40158932, 953722161, 744465227, 311313357, 684697504, 412602056, 480393468, ( -1), 406911705, ( -1), 529068884, ( -1), ( -1), 429705240, ( -1), ( -1), ( -1), ( -1), 211914122, 207010765, 703253135, ( -1), ( -1), 443319967, 831871931, 346732833, ( -1), ( -1), ( -1), ( -1), ( -1), 51883736, 476881072, ( -1), 689389420, 293515149, 961522910, ( -1), ( -1), 693651261, ( -1), 502961862, 254802531, 172409234, ( -1), 388108290, 16542820, 482323071, 340689469, 955504387, 878578320, 967907114, ( -1), ( -1), ( -1), ( -1), ( -1), 307645066, ( -1), ( -1), 41617839, 434483074, 653611389, ( -1), 602856044, 60583909, 964724522, 330634969, 497161391, ( -1), 689080230, 481039449, 379032371, ( -1), 273904372, ( -1), 683710235, 594967260, 611206687, ( -1), ( -1), 215159561, ( -1), ( -1), 662779762, ( -1), 60361478, 177205236, 911163565, ( -1), 46832625, ( -1), 420167522, 985272086, 705911361, ( -1), 312423914, 254194228, 930092767, ( -1), 110720856, ( -1), 762381173, 774099910, 145924084, ( -1), 213631430, ( -1), 217561449, 882744530, 613376571, ( -1), 986652562, 181295945, 552134992, 818965937, 236510455, ( -1), 684692556, 657411223, ( -1), 394953682, 65158692, 962906000, ( -1), 296837824, 684130929, 884132086, 384456471, 92798819, 497140440, 281019183, 798932873, 161432913, ( -1), 857567677, ( -1), 577537306, 349981847, 103983582, 932584611, 309888318, 636336738, 185328622, ( -1), ( -1), 744694332, 346488003, 268810957, ( -1), ( -1), 269009029, 393931091, 21970258, 103738397, 275024069, ( -1), ( -1), 371200259, ( -1), 13850856, ( -1), ( -1), 84800977, 753777510, 34362342, 349548050, 34873531, 868091760, 999898173, ( -1), 206343059, ( -1), 853526259, ( -1), ( -1), 556072875, 959391255, 764965101, ( -1), 685132365, 745720385, ( -1), ( -1), 383035469, 615587314, ( -1), ( -1), 991072076, 365031944, 287222116, ( -1), ( -1), 681519318, 418350511, 696384826, ( -1), 786388863, ( -1), 211891883, 140714277, 545248413, ( -1), 352816636, 883692738, 242475514, 392947611, ( -1), 337814962, ( -1), 28566780, 819619448, 365963743, ( -1), 669512243, ( -1), 643382115, ( -1), 213622201, ( -1), 47000274, ( -1), ( -1), ( -1), 507950352, 934811968, ( -1), ( -1), 56733188, ( -1), 496899593, ( -1), ( -1), 799391809, 421365920, 210312909, 706796858, 948087478, 478453603, 49701033, 211059771, 87623836, ( -1), ( -1), 295562456, 136548547, ( -1), 798905379, 780389262, 302251311, 992324006, 706330163, 221177224, ( -1), 646388165, ( -1), 648522755, 135341637, ( -1), 415430017, 288229737, ( -1), ( -1), 439246459, 617602052, 393527729, 250929494, ( -1), 989502920, 223487196, 988025746, 872121342, 124393952, 465758276, ( -1), 885172831, 716087970, 730884705, 212661659, 766230854, 244984106, ( -1), ( -1), 254003218, ( -1), ( -1), 600474308, 940277842, 140884132, 57067342, 677931274, 118238327, 505547332, 335021764, 10594516, 647889810, 960412209, 359475401, 993248904, 799900640, 74034560, ( -1), 605888516, ( -1), 854642838, ( -1), 945905909, ( -1), 378761357, ( -1), ( -1), ( -1), 677507652, 611767229, 680598944, 548589466, 120680156, 775951748, 249678316, ( -1), 936107088, 146222556, 411788889, 516470851, ( -1), 270828405, 447093415, 102043257, 299651478, 521256680, 233691059, ( -1), 841304036, 318530658, ( -1), 524623514, ( -1), ( -1), 433979294, ( -1), 424019853, 830188173, 681762746, 218065847, ( -1), 480106694, 13661486, ( -1), 306785290, 745794822, 592868950, 657098521, 844696759, 174696920, 780694796, 243634620, ( -1), 705455440, 963785250, 865440792, ( -1), 465414700, 85057654, ( -1), 139595378, ( -1), 80999309, ( -1), 910489344, 242810377, 592796135, ( -1), ( -1), 623368039, 430477855, 746754006, ( -1), 683236226, ( -1), ( -1), 699134342, ( -1), 970416750, 832117934, 338156569, ( -1), ( -1), 503730768, ( -1), 553709241, 379131959, ( -1), ( -1), 319281733, 570807871, ( -1), 244443207, ( -1), 301282434, 609983654, 892214895, 397810809, 678844396, ( -1), 907217154, 483206412, 519166285, 624076307, ( -1), 952976315, 717906171, 280467957, 155916292, 932758232, ( -1), ( -1), ( -1), 259676423, 979633894, ( -1), ( -1), 567101705, 446726117, ( -1), 200518621, ( -1), ( -1), 170098875, 759018174, 32819082, 949651116, 779730462, 965311589, 364627833, 994956135, 775583895, ( -1), ( -1), 915507133, 316090157, 519537345, 753713302, ( -1), ( -1), ( -1), 306236662, ( -1), 240778803, 734305855, 99680856, ( -1), 922217309, 659982643, ( -1), 337571277, 782534943, ( -1), 393379844, 49963742, ( -1), ( -1), 412191672, ( -1), 75696288, 370836851, 408381401, 761799453, 898647408, 819023289, ( -1), 945033161, 582558994, 378834193, 643552552, 566195597, 387111391, 967737354, 681429594, ( -1), 275515681, ( -1), 803189554, 203494955, ( -1), ( -1), ( -1), 761032176, ( -1), ( -1), 123656446, ( -1), 802004854, 8015090, 617284768, ( -1), 293717715, 333614498, ( -1), ( -1), ( -1), ( -1), 857033846, 211865779, 847645016, 930422016, ( -1), 141551637, 337075546, 951327699, 987249434, ( -1), ( -1), 377773158, ( -1), 852609868, ( -1), ( -1), 678831663, ( -1), 64547840, 892467140, 233765089, ( -1), 998700654, ( -1), 901500733, 24537153, ( -1), 448568564, 781009420, ( -1), ( -1), 596067429, 345833917, ( -1), ( -1), 890920011, ( -1), 619716136, 306518669, 504959970, ( -1), 926885876, 365696747, 838488995, ( -1), 122277137, 441022206, 771294256, 414426600, 454709953, 537359481, ( -1), 155973595, ( -1), 553455784, 113656667, 334671442, 570258402, ( -1), ( -1), ( -1), ( -1), 621325461, ( -1), 997010257, 421008811, 601468741, 287516535, ( -1), ( -1), 922149025, 924128212, 74494896, 801059113, 27669120, 681018618, 425564070, 484714368, ( -1), ( -1), 422871254, 998544157, ( -1), ( -1), 959043664, ( -1), 34884708, 474983956, ( -1), 873687737, ( -1), 268371250, 718851688, ( -1), 149376053, 661757568, ( -1), ( -1), ( -1), ( -1), 951077973, 238233010, ( -1), ( -1), 671409961, 684993092, ( -1), ( -1), 283438344, ( -1), 427243429, 240143647, 483136101, 58220038, 901864791, ( -1), 700845442, 507653911, 42710879, ( -1), 589254927, ( -1), 512968183, 476528407, 557957451, ( -1), 632601587, 511737869, 321732777, ( -1), 582900026, 568076285, 810611433, 253766585, 724396970, 664060668, 648193088, ( -1), ( -1), 692049891, 41438314, 787871398, 39712938, ( -1), 211064515, 91400485, 154106491, 346011593, ( -1), 740916377, 436467430, 951265810, 280973666, ( -1), ( -1), 870074304, ( -1), ( -1), 628944140, 588201806, 931806546, 924187459, ( -1), 219608537, 327231116, ( -1), 634027371, 698107370, ( -1), ( -1), 845886367, 375934257, 358255646, 827446091, 145652257, 561015132, 141858036, ( -1), 621981143, 885301583, 191185708, ( -1), 866325795, 120665672, 198608466, 253172286, 965565378, ( -1), 577995678, 92273684, 410069428, 87284874, ( -1), ( -1), 518365221, ( -1), 346843666, 342739494, 340008935, ( -1), 731459295, ( -1), ( -1), ( -1), 581621301, 456830954, ( -1), 508481386, 559277096, ( -1), 217824997, 29977078, 664462153, 495789980, ( -1), 574337639, 588981550, 350866292, 293780389, ( -1), ( -1), 485708061, ( -1), 921988269, 222043343, 399120395, 77168758, 155670902, 77199488, 285692942, 774898869, 972746522, 850368853, 197676537, 70139327, 488415442, ( -1), 89975499, 926716953, 550316216, ( -1), 980040304, 222868705, ( -1), 335523741, 135910383, 718967280, 146028779, 643742839, ( -1), 269451610, 274859556, 584325665, 398821145, ( -1), 432383022, 166023641, 704421209, ( -1), 45282979, ( -1), ( -1), 733004788, 815531508, 280121386, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 903777698, 801380758, ( -1), 899996669, ( -1), ( -1), 418273179, ( -1), ( -1), 767376667, 499755744, 447679081, 427006121, ( -1), 653477727, ( -1), 919175046, ( -1), 362018681, 750048621, 696280704, 408386213, 255309016, 148557900, 286118278, 83733503, 60675069, 313997357, ( -1), ( -1), 142989357, 135656123, ( -1), 195408749, 75436765, 803307367, 494425714, 163507895, 111223062, 329430732, 708114501, 797924803, ( -1), 164449225, 249552815, 831715477, 754281168, 661268417, 79104713, 173541221, 629397403, ( -1), 575881746, 580941300, 77818515, ( -1), 237119604, 390653728, 462356581, 36779909, 82327906, ( -1), 213883058, 577019401, 963252635, ( -1), 114226342, 157576897, 321697058, ( -1), 319432785, ( -1), 893814027, 365181821, 782551607, 671908162, 584365314, 170737615, 856359864, 903586956, 966679057, ( -1), ( -1), ( -1), ( -1), 632090287, 813939109, 641951089, 159542157, 98163228, 368907269, 701938579, ( -1), 164638238, ( -1), 910501113, ( -1), 162168570, 543041718, 34872013, ( -1), 404284555, 567181873, 585697463, 459827999, 451610080, ( -1), 433622630, ( -1), 931451324, ( -1), ( -1), 210858224, ( -1), 975200029, 672135753, 941712211, ( -1), 49007467, 559967856, ( -1), 910206259, 869742508, ( -1), 157618476, 739370035, 876366406, 274323944, 123992444, 585159141, 711468054, 203418311, ( -1), ( -1), ( -1), 142229750, ( -1), 287742500, ( -1), ( -1), 210026860, 583919917, ( -1), ( -1), ( -1), 959433114, 724512108, ( -1), 371605738, ( -1), ( -1), ( -1), ( -1), ( -1), 318748749, 905522068, 916757359, ( -1), 493815692, 762120464, 328344958, 166587929, 353034100, 773294894, 538379057, 9420059, 20140872, 142888972, ( -1), 400947582, 197059265, ( -1), 175952523, 141544904, ( -1), ( -1), 414138122, 528729207, 535325264, 966374881, 142513204, ( -1), 147231467, 631784159, ( -1), 950104820, 506906650, 211837965, 572478327, 357969956, ( -1), ( -1), 389568718, ( -1), 776634385, 699718546, 688888509, 951814255, 507216941, 289215560, 885632083, 484757387, 699753238, 52795553, 105075123, 773073081, 568898770, ( -1), 211943100, 61572847, ( -1), ( -1), ( -1), 131786405, 249280877, ( -1), 860790446, ( -1), ( -1), 164219294, ( -1), 928286288, 713329125, 437060927, 999641055, 787366080, 523708932, 762220865, 25539997, 468083594, 305547345, ( -1), 820130781, 650072758, 158125059, ( -1), ( -1), ( -1), ( -1), ( -1), 577754632, 267745055, 714072621, 807442523, 745176277, 991382070, ( -1), 829334500, 743852413, 173594033, 905619037, 836165047, 343034825, 249663605, 175766084, 564713575, 963286842, 220282109, ( -1), ( -1), 260742017, 175599893, 739692786, 811894926, 577024559, ( -1), ( -1), 192082546, ( -1), ( -1), 752783039, 724765732, 955277772, ( -1), 565205280, 163731029, 29005110, ( -1), 208911027, 77088081, 417002252, ( -1), ( -1), 100215105, 91220582, ( -1), 501759661, 404381103, ( -1), 45397031, ( -1), 738230623, 901394626, 981393214, 996652987, 333228797, ( -1), ( -1), 737358059, 890631004, ( -1), 620660002, 968440824, ( -1), 785301994, ( -1), ( -1), ( -1), 731431128, ( -1), 977287994, ( -1), ( -1), ( -1), ( -1), 43883020, 767579254, 152335636, ( -1), ( -1), 685982481, ( -1), 932414920, 393424975, 10514699, ( -1), 271065878, 197826456, 406013072, 983436745, 561410312, 77347530, 665495895, ( -1), ( -1), ( -1), 265179216, 867359928, ( -1), ( -1), ( -1), 285399904, ( -1), 7728376, ( -1), 176034815, 809751120, ( -1), 14429810, 489257728, ( -1), ( -1), 557347541, 87714151, ( -1), 609948356, 881408517, 729475867, ( -1), 632548328, 301197789, 548922752, 455529506, ( -1), 174984843, 966405863, 841299273, 62819186, 675854320, ( -1), 141149679, 150756710, 568875871, ( -1), 732169112, ( -1), ( -1), ( -1), 660098049, 347438824, 540997803, 167424519, 282874996, 417435100, 327618001, 243147904, 937131006, ( -1), ( -1), 974096874, 371644090, 682682174, ( -1), ( -1), ( -1), ( -1), ( -1), 982662142, 680594372, 511625357, 427780071, 132770564, 506587609, 108247966, 770700416, 536196089, ( -1), 436825778, ( -1), 452903579, 773695810, ( -1), ( -1), 443005611, 190827976, 278873426, 290394510, 534712290, ( -1), ( -1), 319019470, ( -1), ( -1), 423407169, ( -1), ( -1), 78641541, 946433521, ( -1), ( -1), ( -1), ( -1), 52269103, ( -1), ( -1), 13669769, ( -1), ( -1), ( -1), ( -1), ( -1), 980401316, ( -1), 964973869, 611585170, 737411842, ( -1), 486601448, ( -1), 391668542, ( -1), 262506245, ( -1), 641362404, ( -1), 808615152, 922183356, 598039985, 145433177, 467434617, 637137362, 44428111, 296689518, 307479659, 823059420, 808574874, 761787145, ( -1), 618289252, 57070574, ( -1), 58538753, ( -1), 263750614, ( -1), 879135142, ( -1), 544403803, 347492210, 442769743, 103583251, 566512458, 725758352, 371266447, ( -1), 258004126, 505791874, ( -1), ( -1), 749315524, 647624560, ( -1), ( -1), 246849251, ( -1), 221428447, 97965059, 657982592, 117170740, ( -1), ( -1), ( -1), 499823114, 584880998, 61262554, 298305355, 847847777, 703548552, 285166559, 15312377, 863527196, 779752208, 570887415, ( -1), 943823467, ( -1), 881230216, 549165492, 750706048, 792006041, 899279499, 939265443, ( -1), ( -1), 119038203, 171958524, 567095797, 921315735, 203938893, 284912058, 494051953, 534367982, 289380934, 297763301, ( -1), 28252260, 103841121, ( -1), 920171902, ( -1), 8441522, 793345805, 798234750, 976323132, 338653813, 618098607, 26074559, ( -1), 83369852, ( -1), 677949109, ( -1), 585107325, ( -1), ( -1), 320810663, 778618466, 712666996, 377923140, ( -1), 876472348, 321778623, 905198788, 858999864, 753721769, 588055293, 304744072, 795336663, ( -1), 301914828, 673458729, 9408145, 608700611, 102235825, 162473025, 33896362, 664871837, 778118470, 550255438, ( -1), 852534625, ( -1), ( -1), ( -1), 247383175, 476090815, ( -1), ( -1), 194400157, 394471006, 294164732, 344062260, 360129750, ( -1), 866272441, 543274783, 888492727, 426889703, ( -1), 524035552, ( -1), ( -1), 866246586, 469298886, 964157144, 125756923, 484239034, 257191547, 789293890, ( -1), 771718006, 519420342, 947849967, ( -1), 261162068, 61301962, 841212363, 475656006, 307719185, 264059978, ( -1), 400558950, 582724525, 595339609, 844880653, ( -1), 708743849, ( -1), 376497639, ( -1), 942139555, 640018308, 235171928, ( -1), 569388241, 299819030, 604738863, 31808740, ( -1), 173533711, 866122431, 340318625, ( -1), ( -1), 200176959, 43897363, ( -1), 616209974, 85533442, 230866921, 648314637, 930574266, 830449946, ( -1), ( -1), 977871702, 109550217, 461528439, 263019583, 936191940, 475087591, 733084490, 802359748, 13710621, 314917980, 790164818, ( -1), 369698295, 277320220, 981578825, 163934074, 418740246, 728802634, 249884009, 351498902, 992343751, ( -1), 480765972, 59276161, 434857790, 828603232, 778353197, 410855686, 87997901, 669391082, 634837834, 738377293, ( -1), 842968460, 206890993, 617378873, ( -1), ( -1), 563035607, ( -1), 338569816, 406558471, 215976301, 372199264, 492852468, 738183516, 883662980, 968808262, ( -1), ( -1), ( -1), 857843786, ( -1), ( -1), ( -1), ( -1), 25600335, ( -1), ( -1), ( -1), 526280269, 926491087, 421873655, 974115707, 648592284, 483658257, 764378786, 784053139, 118064194, 132611858, 400786209, 818208606, 660871172, 273737552, 1455744, 818627861, 131284459, 781376520, ( -1), 745404898, ( -1), 121824918, 499241914, 436808108, ( -1), 902438635, 416061265, 76128554, 44339872, 931950806, 570049162, ( -1), ( -1), ( -1), 12605068, 941441546, 199174144, 819164537, 396841948, ( -1), ( -1), 78330933, 685162530, 914512837, 539949137, ( -1), ( -1), 344210832, ( -1), 25087191, 883847036, 391708625, 566666408, 394826730, 495044840, 423024503, 766953171, ( -1), ( -1), 971560257, ( -1), 308958993, 673877486, ( -1), 130543705, 354573923, 189734846, ( -1), 519709821, 231479547, 156495606, 22499125, 134992833, ( -1), ( -1), 857778549, 440825238, 274192234, 914675440, 696932133, 442805991, 206557155, 146270283, ( -1), 766514549, 587379401, 577169768, 54036364, 736774262, 728642788, 514664060, 536711169, ( -1), 814909996, 129018719, ( -1), 517509684, 946615772, ( -1), 58426735, 312275733, ( -1), 90734541, 777966098, 681852114, ( -1), 440926129, ( -1), 419320146, ( -1), ( -1), 692170883, ( -1), 825504152, ( -1), 687047383, ( -1), ( -1), ( -1), ( -1), ( -1), 776566680, 965861414, 635941773, ( -1), 365170440, 434065270, 234521018, 865431410, 43235093, 835442092, 969874988, 108106536, ( -1), 143616557, 597729614, 690993758, 810141075, ( -1), ( -1), 845889907, 405610911, ( -1), ( -1), 228083797, ( -1), 217289252, 284649024, 290779434, ( -1), ( -1), 496789138, 611198688, 840523204, 250467525, 177532544, ( -1), 313529869, ( -1), 637272103, 839458134, 108571511, ( -1), 980862337, 32354005, 903472372, 181039718, ( -1), 108358944, 502309965, 678537338, 34682484, 794299699, 855329834, 677337948, 854153882, ( -1), ( -1), 1763869, 809068502, ( -1), 182523045, ( -1), 850926517, ( -1), 986988950, 57654405, 253319770, 40040243, ( -1), 541433904, 437991583, ( -1), 33996907, 431793224, 119224754, 260331435, 476414448, ( -1), ( -1), 444583974, ( -1), 78073571, 29874057, 827300414, ( -1), 865957666, 306143905, 691765468, 367510760, 667830800, 587056785, ( -1), 861577339, 165525741, 344486332, ( -1), 58982644, 872883564, 247133616, 224935787, 699804979, ( -1), 686855523, 167076993, ( -1), 450568651, 672801718, 121959071, ( -1), 26194709, ( -1), 546523055, 106474740, 886801510, ( -1), 813325781, ( -1), 865356714, 773618292, 782254651, ( -1), 487062568, ( -1), ( -1), 501664816, 699165799, 56074837, ( -1), 452176872, ( -1), 985448756, 618015885, ( -1), ( -1), ( -1), 996900094, 101043072, ( -1), ( -1), ( -1), 902372875, 921298925, 996024437, 15740390, 179862420, ( -1), ( -1), 581162049, 583268008, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 432891732, ( -1), 221581480, ( -1), 672488948, 962740273, 820708274, 609376181, 282682577, ( -1), 566592124, 242376894, 805152782, 555619512, ( -1), ( -1), ( -1), 835415913, 865980458, ( -1), 388663142, 263344393, ( -1), 468861577, 376662037, 758432900, ( -1), 77790372, 260727272, ( -1), ( -1), ( -1), ( -1), 770729407, 704220577, 985441022, 636553796, 666434773, 891843735, 648640930, ( -1), 392542208, 181319074, 877668166, 876173195, 805431470, 113377239, 341682596, ( -1), 478298160, 404757278, ( -1), 93397784, 487827775, 680450707, 716226514, 192626763, ( -1), 46017648, 734692557, ( -1), 972742521, 337850147, 11447857, ( -1), 926052953, ( -1), 905643246, 503074153, 982525197, ( -1), 242823734, 931535991, 70361423, 396886014, 165480081, 46856828, 867139862, 589891174, ( -1), 160200769, 498104124, 798949204, 222089935, 600505510, ( -1), 672848657, 923092890, 486732223, 836358434, 540863997, 365564046, 377849114, 115350468, 356635820, ( -1), 435901672, 225988934, 438649500, 585141061, 691493819, 2478851, 942451883, 64841150, ( -1), 96921171, 297991240, ( -1), ( -1), 382156087, ( -1), ( -1), 209258447, 339396899, 535469108, 135065250, 376998382, ( -1), ( -1), ( -1), 925068506, ( -1), 984152120, 12019170, 351214479, 234071917, ( -1), ( -1), 530503673, 682801955, 155461332, ( -1), ( -1), 405019718, 300419858, 209381031, 438970424, ( -1), 592925853, ( -1), 666698738, 560637994, ( -1), ( -1), 7151708, 996164106, 525801810, 848663055, ( -1), 973448236, 121911765, ( -1), ( -1), 105915758, 352428331, 563788710, 803273204, ( -1), 207070327, 39622232, 91928878, ( -1), 318717073, 77907445, 464205119, 56908672, 203086024, 569945115, 136400093, 620032257, ( -1), 96868271, 671825138, 11622324, 165519905, 824933362, ( -1), ( -1), ( -1), ( -1), ( -1), 48559350, 95351384, ( -1), 381914580, ( -1), ( -1), 376294957, 210916398, 793832378, 467844793, ( -1), 476473834, 426101488, 630387325, 517715865, ( -1), 61064637, 781605963, 750536980, 334224687, 529408537, 159359226, 859407497, 788131209, ( -1), 551314374, 420717236, 376525930, 180672891, 128442042, 65302310, 151774940, 349994966, ( -1), 571709475, ( -1), 184783583, 872556681, 657036067, ( -1), 243079185, 901185805, ( -1), 521351880, 905374142, 3561274, 347673487, 765250227, 419110462, ( -1), 747790596, 927118530, ( -1), ( -1), ( -1), 815199827, 503521699, 467395181, 245568293, 102987577, ( -1), 154654941, ( -1), ( -1), 325398627, 615949457, 969017871, ( -1), 219746968, 830403131, ( -1), 692917268, 182823698, 176325567, ( -1), 56648070, 755327162, 802921912, 586549400, 544675048, 24019044, 989449921, ( -1), 526627444, 619764778, 282483748, 387569471, 54194230, 559110905, ( -1), 454862427, ( -1), ( -1), 448404869, 81352635, ( -1), 496516499, 159748507, 143543610, 155453232, 812193605, 699957030, ( -1), 361360728, ( -1), 382202656, 459643074, ( -1), 542866365, 433742580, 604332163, ( -1), 956955619, 461556476, 858205037, 94380004, 531918855, ( -1), ( -1), 767146874, 591830960, ( -1), 334359546, ( -1), 896174986, ( -1), 417836974, ( -1), ( -1), ( -1), ( -1), 475464139, 132038753, 433016705, 662797019, 138212744, 557920624, ( -1), 231196246, 496012705, 46548222, 703846213, 827277812, 577026968, 984750157, 653438495, 759971932, 969407936, 919899327, ( -1), ( -1), 666455131, ( -1), 442801900, 449425129, 325108937, 871346742, 388629171, 571083544, 54175567, 739827366, 414692459, ( -1), 524965990, ( -1), ( -1), 948985085, 365720111, 473416258, 820097423, ( -1), 766437504, 872327979, 552932104, 388798339, ( -1), 45744533, 964647442, ( -1), ( -1), 642716638, ( -1), 84503574, ( -1), 661521530, ( -1), ( -1), 359601898, 401368095, ( -1), 213191468, 761755282, 938370140, 71282118, 696724307, 526179534, ( -1), 104832870, ( -1), 951649882, ( -1), 865449633, ( -1), 129563797, 257759242, 228781108, 447843292, 847150317, ( -1), 266901296, 815253512, 837352958, 845673578, 161429541, 951848216, ( -1), 733134317, 930474390, 431241160, ( -1), 697472952, 632403070, 751718229, 672605234, ( -1), 137423243, 415576263, 803679145, ( -1), 998086182, 70323147, ( -1), 285396457, 881113874, 969942413, ( -1), ( -1), 672483512, 831582341, 52945243, 327660716, 959828557, 86546816, 663311401, ( -1), 757416165, ( -1), 882557363, ( -1), ( -1), ( -1), 470482039, ( -1), 561548735, 84193270, 661314221, 327753813, ( -1), 686861145, 19525750, 898794642, 817171446, 790746620, 396892014, ( -1), 239186578, 580437786, 53622840, 59877025, 701044336, 883372623, 996255829, 330789478, 360549775, 706012765, 253137486, 154089006, 35265467, 536920064, 54083490, 749587585, ( -1), 962769393, ( -1), ( -1), 995903922, 119986171, 701695445, 644092064, 79200617, 597193154, 168982338, ( -1), 517313461, 945715972, 812319170, ( -1), ( -1), ( -1), 844789638, 162664751, 515526630, 337098166, ( -1), ( -1), ( -1), 743565920, 973018140, 765672861, ( -1), 409344113, 617087025, ( -1), 309047559, 164460706, ( -1), ( -1), 484795588, 445373207, 681234329, ( -1), 284767032, 702197182, 848867440, 209194245, 215105946, 670526946, ( -1), 195596942, 9840245, 893830549, 191057850, 756013066, 620781738, 444076227, 194220894, ( -1), ( -1), 498581848, ( -1), ( -1), ( -1), ( -1), 346407198, 161979838, 731058199, 850576525, 202568115, ( -1), ( -1), ( -1), 360783766, 143582545, ( -1), 891092230, 31827220, ( -1), ( -1), 651009998, 196198379, 607304585, 777343425, 48582667, 95071868, 529321741, ( -1), ( -1), ( -1), 639547755, 601297991, 150881166, 978227606, 860219225, ( -1), 976907342, 825015805, 687013483, 555488311, 576542237, 368328657, 647656979, 306870063, ( -1), 776181155, ( -1), 430179512, 357851288, 568503562, 188009177, 189617381, ( -1), 612089714, 551759802, 402932202, 592788570, 839017521, 27830564, ( -1), 682303477, 144806903, ( -1), ( -1), 638199778, ( -1), 563324645, ( -1), 977037398, 912979139, 224684934, 652430924, 179458374, 43880575, 102719411, 493753056, 543339546, ( -1), 125451855, 816960473, 970600903, 843583783, 808812057, 945515235, 348393240, 9048511, 928294625, 383893348, 10917371, 461058350, 607008073, 222040517, 598750963, 451890446, 949186715, 221836028, 478773282, ( -1), 494231207, 771718466, ( -1), ( -1), 64376919, 305278967, 222088311, ( -1), ( -1), 167324692, 407610990, ( -1), ( -1), 253431333, 960566486, ( -1), 467036327, ( -1), 902776839, ( -1), 470634251, ( -1), 565194734, 959280117, ( -1), 666365026, 417180747, 362320647, 587575767, ( -1), 437626005, ( -1), 518903010, 997096520, 169470567, ( -1), ( -1), 588458244, ( -1), 874589641, 272961537, 235257126, 162143718, 636610888, ( -1), 196210802, ( -1), 957476736, ( -1), 174100522, 64829112, 986376210, ( -1), 53889366, 840017247, 366514600, ( -1), ( -1), 955912177, 823118006, 789019888, 957876433, 507021767, 640766758, 873339647, 45132990, 857692008, 334095516, 136376358, 268240009, ( -1), 502245906, 702833961, 244129926, ( -1), 361930623, 774919713, 147992805, 61908204, ( -1), ( -1), ( -1), ( -1), 543315354, 369450268, ( -1), 51675546, 46255273, 322298365, 22495648, 664822031, 636620728, ( -1), 216954437, ( -1), ( -1), 114746068, 385987127, 589360681, ( -1), 850342766, 47262501, 240662546, 488164110, 549381422, 7567737, 103550579, 906512250, 911594989, ( -1), 719325536, 133963280, ( -1), 455456886, 81449213, 79015303, 969518101, 94539003, 408100581, 108742789, 602618398, ( -1), 569860796, 376536521, 427195489, ( -1), 233230415, 445382098, 308576182, 202116173, 812622565, 447109612, 969159630, ( -1), 498803052, ( -1), 615753477, ( -1), 378068050, 164999695, 832897629, ( -1), ( -1), ( -1), 616059953, 248409638, 139537349, 446624154, 459297181, 334783858, ( -1), 768684704, 927460872, ( -1), 471656238, ( -1), 147538137, 874348419, 922371259, ( -1), 122058121, 890517078, 818988777, ( -1), 628740165, 771686971, 203736942, 707496214, 461408453, 51308432, ( -1), 154133311, 445352962, 108357150, ( -1), 343750086, 65879080, 329186035, 634520382, 742867745, 869261876, ( -1), 513164494, 444214791, 925969920, ( -1), 333230396, 869694743, ( -1), 830579225, 596973090, 472174081, 941039266, 531965291, ( -1), ( -1), ( -1), 817157310, ( -1), ( -1), 797314135, ( -1), 985294722, 741235773, 514808974, ( -1), 399362809, ( -1), 444825116, ( -1), 519710310, 10439026, 982573108, 547225029, 388649911, 35628356, 737169935, 392537239, ( -1), 158053872, 475209149, 550580755, 326344920, 950779969, ( -1), 797224685, 999758936, ( -1), 287571079, ( -1), 698084512, 803304145, 415337696, 264469689, 721171143, ( -1), ( -1), 927493593, ( -1), 467160038, 806786427, 186596139, ( -1), 177924879, 638501146, 641363715, ( -1), 879824404, 362060103, 245641883, 996056442, 989565553, 887872923, ( -1), 262844604, 383237961, 973411927, 364127366, 494180335, 895493686, 258271414, 358900104, ( -1), 19751637, ( -1), 548771349, 656641465, ( -1), 292723101, 85318292, 915465015, 920200919, 625402328, ( -1), ( -1), ( -1), ( -1), 357491074, 918769567, 390397470, 21488541, 508031876, ( -1), 861136394, 693855894, 122220136, 248747935, 196238826, ( -1), 500300840, 904641240, ( -1), ( -1), ( -1), 650439348, 614154918, ( -1), ( -1), ( -1), 480005460, ( -1), ( -1), 123432696, 222783988, 343286857, 119310212, ( -1), 764323941, ( -1), 75972640, 616829110, 512663764, ( -1), ( -1), 76614951, ( -1), ( -1), ( -1), 217203101, 199995533, 318051385, 150415983, ( -1), 672599303, ( -1), 771938192, 86635725, ( -1), ( -1), ( -1), ( -1), 178176403, ( -1), 406264360, 903341873, 588178528, 221020758, 26677694, ( -1), 475460272, 904391717, 202325530, 758422366, 93062718, 743572251, ( -1), 454851120, 198935876, 284331182, ( -1), 65053509, 393531233, 812372835, 120135830, 349444747, ( -1), 527088261, 145104785, 841854222, 949650624, 755284453, 155566957, ( -1), ( -1), 633496359, ( -1), ( -1), 34288799, ( -1), ( -1), ( -1), 767535845, ( -1), 597004768, 946533204, ( -1), 840594101, ( -1), ( -1), 810202630, 234780637, 591678813, 362680582, 835667403, 901451968, 796091241, 507197028, 375237837, ( -1), 933877014, ( -1), 478107958, 323782547, 948347325, 425234919, 759404007, ( -1), 21391318, 170404803, ( -1), 988113119, 434812074, 272245668, 509679727, 472422821, 620792326, 894408210, ( -1), 380674443, 430208051, ( -1), 837566720, 228437094, 836854461, 78568608, 256657781, 702582855, 212305792, 858827429, 910776108, ( -1), 185803793, 709838429, 383808265, 565121545, ( -1), 232515088, 785228380, 182744116, 249112092, ( -1), 713378289, 487402986, 640230516, 927874398, 581764665, 449414948, 871801911, 124287543, 862139167, 450306983, ( -1), 456309089, 48501081, ( -1), ( -1), ( -1), 907304928, 822436093, ( -1), ( -1), 159591444, ( -1), ( -1), 259048708, 671856733, 281827808, 692921794, 954256934, 536664874, ( -1), ( -1), 873380091, 627470032, ( -1), 537737182, ( -1), ( -1), 849518376, ( -1), ( -1), 74059911, 816385405, ( -1), 480557020, 661981498, 359692019, 691013801, 586785322, 4631097, 377057998, ( -1), 546190184, ( -1), ( -1), 477905446, 868753855, 186606160, 510062792, 460502799, ( -1), ( -1), ( -1), 502086220, 677056060, 697371242, ( -1), 236029644, ( -1), 319612227, ( -1), ( -1), 236895338, 505643535, ( -1), 672419074, ( -1), 748238521, ( -1), 928994626, ( -1), ( -1), ( -1), 921289196, 897570760, ( -1), 954957446, 442356844, ( -1), 554284787, ( -1), 830156488, 158696149, 139457381, 912763348, ( -1), 447409865, ( -1), ( -1), 246310930, ( -1), 6913963, ( -1), ( -1), ( -1), ( -1), 953742452, 719135354, 609176836, 685909196, 601031479, 340752710, 312901117, 533028749, ( -1), 618038871, ( -1), ( -1), 126101932, 711378958, 80006372, 681174153, 776178754, 898885793, 841804175, 814470812, 459670646, 681864968, ( -1), ( -1), 39287047, ( -1), 640656877, 299521096, ( -1), 237657933, ( -1), 680017321, 152522470, 701142222, ( -1), ( -1), 450087879, 619035170, 3370506, ( -1), 243745771, 977031444, 860103720, 135688962, 684097441, 247281968, 667038098, ( -1), ( -1), ( -1), 82295826, 444446499, 410458460, ( -1), 514610538, ( -1), ( -1), 683959031, ( -1), ( -1), 690096923, 257426384, 663675943, ( -1), 721018390, ( -1), 462961377, ( -1), 493164295, 123094345, 580662674, 867424857, 172154883, ( -1), ( -1), ( -1), ( -1), 440631435, 521859283, 787571711, ( -1), ( -1), 906507379, 781122187, ( -1), ( -1), 43194926, 748863714, 669182206, 219715614, 716239393, 920369997, 763208874, 764607105, 752651461, ( -1), ( -1), 551680039, 90641264, 474812800, 395654270, 477745612, 41167959, 459506499, 824471680, ( -1), 807424153, 133856275, 293900013, 503083593, ( -1), 437690520, 370442796, 414719823, 572271311, 941261010, 375854087, 220820913, 566639346, 550174858, ( -1), 741291371, 851309767, 274918668, 616483768, 683052096, 979076544, 366719925, 371767529, ( -1), 757665215, 699756745, 302394939, ( -1), ( -1), ( -1), 495202671, ( -1), 902772423, ( -1), ( -1), 28955328, 261185076, 226555534, 783138062, ( -1), 743137367, ( -1), 490479505, ( -1), 521604624, 52502469, 800520843, ( -1), 397684002, 536458112, 364838133, 745750215, 448786904, 644230626, 699089838, ( -1), ( -1), 853983729, 362152465, 849598247, 984104515, ( -1), 234389933, 815313822, 51868276, 106640442, ( -1), 123720284, 638502959, ( -1), 84049077, ( -1), 254141284, 221697300, 450707300, ( -1), ( -1), 702905560, 224473395, 21706379, ( -1), 813040413, ( -1), ( -1), ( -1), ( -1), 180828035, 10877863, ( -1), ( -1), 507307074, ( -1), ( -1), 229762937, 926408353, 291886836, 637943866, 364693458, 683666973, 802978192, ( -1), 215771132, 554873911, 393345258, 818411838, 455712727, 303708044, ( -1), 814014363, 946766987, 890330970, 532008848, ( -1), 787705976, 677705127, 364603402, ( -1), 505197678, 879966596, 111010626, 325332416, 42931652, ( -1), ( -1), 147985807, 762867540, 81071248, 775916864, 954226424, 841684547, 671732737, 32572273, 614005534, ( -1), 932694577, 351416441, 504723918, 711053666, 9505772, ( -1), 852932108, 981426051, 119482342, 735181075, 849630818, ( -1), 545515063, 689569491, 136944029, 911312753, ( -1), ( -1), ( -1), 82407852, 951231372, 721052716, ( -1), 211858407, 375912989, 297629651, 213879190, 417193588, 515881464, 415322666, ( -1), ( -1), 937675788, 587309593, ( -1), 470602394, 577002507, 837058422, ( -1), 360408783, 947907427, 64137628, 793499738, 784406000, 26711347, 523499918, 948908433, 735524118, 102196185, 300724980, 923561051, 374699436, ( -1), 465559786, 627236113, 596901752, 659134854, ( -1), 282061598, 664060270, ( -1), 592640494, 319872096, 118043482, 919280402, 892417329, 795556002, ( -1), 367905483, ( -1), ( -1), ( -1), 233638014, 437901044, 508827736, 222821209, ( -1), 844881296, 177801952, 908397322, 123407621, 983198395, ( -1), 54458915, 420781955, 171008426, 853275566, 835904388, 403381163, ( -1), 60398039, 216258156, ( -1), 885977374, ( -1), 794003861, ( -1), 112775996, 905944357, ( -1), ( -1), 391144209, ( -1), ( -1), 675946538, 933396367, 99937159, ( -1), 458413369, 224386059, ( -1), ( -1), 239076909, 877744978, ( -1), ( -1), ( -1), 606250845, 555419362, 783193481, 757321614, 861647970, ( -1), ( -1), 972933419, ( -1), 986467602, 634676826, 159115857, 975618425, ( -1), ( -1), 861765419, 924809563, 378796777, 921317406, ( -1), 137930338, 695218127, 838078236, ( -1), 767063969, 45122352, ( -1), 193705436, 138435837, ( -1), 657769360, 989242316, 822044465, 116042531, 757247364, 735316830, 195574870, ( -1), 734537782, ( -1), 940296586, 888245639, 770898333, ( -1), ( -1), ( -1), 875170504, 744323966, ( -1), 696099883, 971049947, 112810622, 603469064, 884504128, 136195223, ( -1), 567630617, 278310397, 393506878, 785995455, ( -1), ( -1), 597131978, 939246096, ( -1), 761945254, 396226989, ( -1), 634974746, ( -1), 56908476, ( -1), 915456468, ( -1), 829959413, 116952234, ( -1), 81913992, ( -1), 734790216, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 180997425, 306750175, 445168815, 663803800, 500206658, 577209033, 957034986, ( -1), ( -1), ( -1), 834279429, 229704607, ( -1), 61820659, ( -1), ( -1), 315458428, ( -1), ( -1), 866413694, ( -1), 957557074, ( -1), ( -1), 70186775, 662154145, 714896914, 160181785, 460290545, 574859800, ( -1), 873750309, 867036498, 938061983, 908195886, ( -1), 879387456, 62210124, 45601244, ( -1), 527463334, ( -1), 872861025, ( -1), ( -1), 188250462, 208429445, 860945165, 424316538, ( -1), ( -1), 922462264, 997012550, 826001672, 460703000, 491632258, ( -1), 99060919, ( -1), 932003824, ( -1), 600874949, 48711699, ( -1), 198081832, 308733475, 996228338, 268299237, ( -1), ( -1), ( -1), 754179769, 956080139, 721120267, 485718183, 709500509, 241154704, 726535138, 784902772, ( -1), 795297423, ( -1), ( -1), ( -1), 916983600, ( -1), 836449336, 78239599, 924930639, 656347621, 146362961, ( -1), 789045225, 800899323, ( -1), 637735794, ( -1), 187548447, 447824645, 56252695, 873057998, 805245423, 426663020, 28150987, 974884949, 725746620, 236414951, 867120521, ( -1), ( -1), ( -1), 312921985, ( -1), 312014150, 602362249, 53143543, 678221793, ( -1), ( -1), 760794121, ( -1), 796037626, ( -1), ( -1), ( -1), 181021221, 865857030, 993625467, ( -1), ( -1), ( -1), 157487304, 613458232, 235084360, 566065568, ( -1), 771479647, ( -1), 824001743, 307767402, 139049076, 443949141, 476833295, ( -1), 926731478, ( -1), 105967081, 884443402, ( -1), ( -1), 690433812, 195671750, 116942222, 247933487, ( -1), ( -1), 907236810, 228249498, 723471323, 787464952, ( -1), 6896509, 199096940, 766983873, 219862783, ( -1), 709243174, ( -1), 902134627, 258578530, 894386069, 452587440, ( -1), 316713961, 614098156, 241036128, 922117229, ( -1), 697763343, ( -1), ( -1), 463390645, 449364727, ( -1), 770730762, 841993413, 524572382, ( -1), ( -1), ( -1), 494709427, 267132563, 146587669, 167558225, 899648143, 282303186, 380039341, 934074444, ( -1), ( -1), ( -1), ( -1), 190469745, 31106051, 959981150, 593667204, 811418528, 78692230, ( -1), 287660631, ( -1), 328333773, 847888495, ( -1), 66462445, 68978599, ( -1), ( -1), 983191787, 285329254, 466564469, 248677141, 582241979, ( -1), 371196803, 782451883, 978474201, 487499566, ( -1), ( -1), 284369245, 592857132, 872416123, 434238109, ( -1), 93864606, ( -1), 999398466, ( -1), 948713168, ( -1), 303907337, 763261861, ( -1), 141526167, ( -1), 267936313, 678164227, 705243500, 423628519, 569862804, 139892837, 912930985, 460220226, 10562213, 772647275, 444431981, 428833246, 213129715, 96368451, ( -1), 84202488, ( -1), ( -1), 792661952, 769437554, 797684619, 810000003, 176679647, ( -1), 857192265, 187968210, 478038787, 443449462, 49400565, 504417691, ( -1), 861628140, ( -1), 417216117, 130003970, 353229776, 20549193, 590495208, ( -1), 531928198, 529898948, 207192743, 159609239, 762083322, ( -1), ( -1), 978552824, 901991545, 413451456, 451478403, 15604235, 891059052, 704495749, 637285988, 912762873, 245750355, 117972636, 266175773, 297967237, 365011567, ( -1), ( -1), 702554880, ( -1), ( -1), 604708781, 964994189, 399336111, 267318605, 899007582, 208768183, 282337680, 323093946, 200451778, 554508150, 551072056, 283092388, ( -1), 866963052, 393478093, ( -1), 289203932, ( -1), ( -1), 999090069, 252516900, 320903774, 466645118, ( -1), 639552246, 366447859, ( -1), ( -1), ( -1), ( -1), 672029758, 600745215, 515465853, ( -1), 891192236, ( -1), ( -1), 61338499, 21963706, 460905464, 160612256, 425677577, 621855227, ( -1), 416228613, ( -1), 64188824, ( -1), ( -1), 974602525, 897851190, 459089884, ( -1), ( -1), ( -1), 376201243, 907778610, 794208666, 562398067, ( -1), 531180744, ( -1), 840764014, 676703028, 949631097, ( -1), 56927851, ( -1), 292652309, ( -1), 465473001, 337884195, ( -1), 946092207, 958045093, 639491175, ( -1), ( -1), ( -1), ( -1), ( -1), 413961355, 229002840, ( -1), 862903115, 983444115, 295781186, 921035306, ( -1), 884434183, 139248841, ( -1), ( -1), 720671524, ( -1), ( -1), 964554629, ( -1), 99079649, 346134775, 922705678, ( -1), 890209514, ( -1), 185992145, 380389405, 561783110, 313822840, ( -1), 335371842, 302546223, 200658777, 193664300, 114385198, 826079071, ( -1), 707556188, 792629655, ( -1), 946613882, ( -1), 673691680, 824120237, 188963669, 284535919, 79359792, 465189573, 583389707, 589393097, 742849340, 667183885, 530157209, ( -1), ( -1), 599820216, ( -1), 493980651, 78073842, ( -1), ( -1), 110080564, ( -1), ( -1), 478567054, ( -1), 594593106, 325200019, ( -1), 514774962, 542619519, ( -1), ( -1), 82585097, ( -1), 777501901, 922083057, 699991373, 890204403, ( -1), 164686160, ( -1), ( -1), 11452686, ( -1), ( -1), ( -1), 494381240, 600378391, ( -1), ( -1), ( -1), 730842656, ( -1), 369189909, ( -1), 35443819, 180737009, 888970346, 429674922, 860636974, ( -1), 116848172, 302066805, 801269012, 741597876, 447352193, 342717675, 623926212, 305541132, 509135089, 681503108, ( -1), 777789398, ( -1), ( -1), ( -1), 685671694, 303655794, 339111528, 773933814, ( -1), 249641272, 573054414, ( -1), 722114210, 411166255, 223202751, 186855326, 847306005, 760435309, 182980107, 857758091, 410431955, ( -1), ( -1), 358280601, ( -1), ( -1), 19761400, 120239886, 288480041, 131208374, ( -1), ( -1), 522182318, 699700454, 280922400, ( -1), 278675455, 671250174, 584996891, 452643605, 44737477, ( -1), 993405735, 524678952, 858152982, 63941833, ( -1), ( -1), 495750416, ( -1), ( -1), 904998957, 796303534, 839567496, ( -1), ( -1), 995459423, 901853526, 621442114, ( -1), 476712684, 675660025, 154237535, 778071525, 452486575, 544451617, ( -1), 720994644, ( -1), 22577448, ( -1), 910276540, 598390424, ( -1), 976730568, 853697309, 302591102, ( -1), 29640952, 981772780, ( -1), 2919531, ( -1), 34357730, 257061616, ( -1), 341343845, 992905922, 850341425, 322512940, 22048545, ( -1), 239637773, ( -1), ( -1), ( -1), 918037204, 868982052, ( -1), ( -1), 881736265, ( -1), ( -1), ( -1), 691089907, ( -1), ( -1), 783543215, 884496343, 666788540, 343454757, 40595026, 445719071, 662280743, 981580302, 137294269, 613161207, ( -1), ( -1), 727996445, ( -1), 994106166, 29789620, ( -1), 195317221, 526479987, ( -1), 357405867, 443993785, 691337164, 306137768, 983082033, 979298426, 78652270, ( -1), 947547558, 506879050, 865774259, ( -1), 509280949, 939148465, 928593538, ( -1), 534019557, ( -1), 535453822, ( -1), ( -1), 286765648, 526034499, 407367934, 914395263, 144548912, 116101974, ( -1), 506439443, ( -1), ( -1), 517081694, 380293553, ( -1), 560034973, 786377783, 167154754, 626488978, 927490319, 820039481, 596011679, 564868628, 116989750, 133010371, 317544236, 806462346, 157713314, ( -1), 932098619, 54398915, ( -1), 253909086, 323452501, 180606536, 481705913, 974051923, ( -1), 701795971, 228113194, ( -1), 933998117, 153108104, 191097922, 627909791, 568753120, 664156435, 372938292, ( -1), ( -1), 428908062, ( -1), ( -1), ( -1), 298669183, 726878337, ( -1), 555272778, ( -1), 490268978, 804320289, 738821097, 231352143, ( -1), 15048693, ( -1), 24622157, 904141632, ( -1), 123259860, ( -1), 336581340, ( -1), 785830688, 749451002, 552618505, ( -1), ( -1), 391412249, ( -1), ( -1), 73950130, 971306469, ( -1), 871411912, 347551603, ( -1), 706046422, 711099461, 326220282, ( -1), 347603418, 19106216, 890472074, 769846970, 921713318, 875463738, 83288186, ( -1), 57643434, 909715089, 819368621, 691806806, ( -1), 377439016, 954977747, 574105098, 708398026, ( -1), 824391253, 893042748, 846573997, 149092291, 93856434, 824466476, ( -1), 625231281, 111118710, ( -1), 117258885, 131019246, 917549223, 439260792, 935146209, 208500546, 30801638, 636814807, ( -1), ( -1), ( -1), ( -1), 824496725, 368698669, ( -1), 214663024, 968939112, 535172475, ( -1), 745904948, 38198457, 42887892, ( -1), ( -1), 330825597, 214711139, ( -1), 372508333, 522472045, ( -1), 253364336, 934564222, ( -1), 602268406, 11687008, ( -1), ( -1), ( -1), 460645264, 300221918, 806831550, 629014043, 173288812, 911260264, 489114361, ( -1), 162331209, 382297371, ( -1), 459661486, 695465533, 83166746, 716816849, 274268282, 124409336, 36367248, 474201044, 630098215, 564782436, 377202804, ( -1), ( -1), 361400339, ( -1), 259331815, ( -1), 571829141, ( -1), 76070796, 241924927, 750683427, ( -1), 185312897, ( -1), ( -1), 660082418, ( -1), 159399620, ( -1), 279078804, 52623925, ( -1), 807683338, 324156625, 55789457, ( -1), 346995277, 271123473, ( -1), ( -1), 758636956, 265539607, 498565496, 830814189, 672223907, ( -1), 358485210, ( -1), 793140083, 426315744, 190933517, 122604357, 962950401, 979990801, 389775538, 842418715, 201829855, 443139206, 708868850, ( -1), 807708482, 471080429, ( -1), 710676045, ( -1), ( -1), 135001602, 461786318, 475458604, 474210679, ( -1), 745082235, 969913576, 974023401, ( -1), ( -1), 46845712, 788214082, ( -1), 196874916, 198495302, 159025839, 695284886, 242391761, 698954886, ( -1), 857434254, 352295623, 420576214, ( -1), 444312867, 941646757, 684407745, ( -1), ( -1), 332863194, ( -1), 986735828, 569329110, 571209011, 191310277, ( -1), 982886382, ( -1), 635241932, 175209704, 72317537, 286311440, ( -1), 147939123, 688255764, 770916850, 27007205, 775951056, 418819937, 401448857, ( -1), 805944511, 84454314, 696769567, 239930685, ( -1), 369404912, 316071555, 508824425, ( -1), ( -1), ( -1), 966726536, 102760424, 829652192, 228610259, 688253359, ( -1), 19350624, 336621891, 574493132, 621965026, 827828894, 85296750, 980300644, 245008942, ( -1), 326265193, ( -1), 94087498, 522982742, 548819748, 345995951, 445568659, 485133709, 212968932, ( -1), ( -1), 926087122, 89787536, 175652839, 992536132, ( -1), ( -1), 246998787, 952561669, 251754725, 608818074, 375451917, 132052601, ( -1), 738016708, ( -1), 604706914, ( -1), 24396535, 162468879, ( -1), 171753401, 899968197, 902921789, 705109479, ( -1), 403712269, 558575238, 909837871, 623906598, 835440178, 290435676, 547114687, 705226543, 257094157, ( -1), 146244374, 114548880, 64709803, ( -1), ( -1), 366883145, 359425246, ( -1), 789086528, 160744601, ( -1), 392081298, 380093641, 971397358, 144281099, ( -1), ( -1), 386331117, 238651748, 852110523, 635262162, ( -1), 151212746, 882515642, 82866473, ( -1), 233412300, 832978197, 314847811, 791617190, 70236170, 888059385, 630284467, 522949551, 71135312, 354865010, ( -1), ( -1), 856386772, ( -1), ( -1), ( -1), 971268795, ( -1), 959857823, 222179487, 860952800, ( -1), 136513196, 788366356, 210244754, 137057403, 906715525, ( -1), 770031273, ( -1), 450671554, ( -1), 346158234, 750220232, ( -1), 884942527, 644408321, ( -1), 585506743, ( -1), 638356238, ( -1), 806728811, 778268131, 680448677, 320644908, ( -1), 719301230, 489380538, ( -1), 383358210, ( -1), 257965178, 130590086, 323807994, 515413263, 197452634, ( -1), 225051861, 720292732, ( -1), ( -1), 189319222, 656944385, ( -1), 162521056, 871577236, 338438511, 643178125, 649785975, ( -1), 599648674, ( -1), ( -1), 817390489, 559148014, 655594567, 68064007, ( -1), 232899318, ( -1), 30822348, 113543893, ( -1), 668769841, ( -1), 712850577, 900742273, 777751106, ( -1), 837565039, ( -1), ( -1), 367258698, ( -1), 346141738, ( -1), 249942100, 447267508, 715677680, 884610324, 421330227, 766546831, ( -1), ( -1), ( -1), ( -1), 85272021, 319906854, ( -1), 254508375, ( -1), ( -1), 420172176, 856510593, ( -1), ( -1), ( -1), 222552777, 261550911, 711548294, 308600968, 96635757, 470263508, 1005684, 567393222, 536835317, 209435887, 560817763, 56648083, 636428084, 391806584, ( -1), 881161922, 892605212, ( -1), 569629585, ( -1), 570945500, 963862398, 716988989, 711745297, 919835076, ( -1), 770799499, ( -1), 472135250, ( -1), ( -1), 338840612, 831790846, 460634050, ( -1), 308990550, ( -1), 458778659, 307141912, 735167104, 868074451, 438984836, 662992223, 314460559, ( -1), ( -1), ( -1), 878331236, 630512235, 876387598, 180400596, 222629446, 507338607, 188912411, 44234611, ( -1), ( -1), 828910033, ( -1), 950394094, ( -1), 549689358, 615602210, 528131884, 359832655, 686047351, 752497307, ( -1), ( -1), 345535336, ( -1), ( -1), 40232229, 269249445, 256420642, 778924587, 83451116, 490811790, 251661976, 884745473, 167399035, ( -1), 438506200, ( -1), 468790971, ( -1), 740525823, ( -1), 798656286, ( -1), 689969276, ( -1), 937804247, 849734479, 876987862, ( -1), 108881175, 121098224, 413476860, 367298528, 260839286, 966468054, 599641794, 214200101, ( -1), 725725804, ( -1), 399147739, 500894033, ( -1), 26185798, 350546332, 335675992, ( -1), ( -1), ( -1), 998304614, 272280420, 10477713, 888887215, 707834777, 81334303, ( -1), ( -1), 611925793, ( -1), 752129982, 715782920, 577008905, 834379664, 780083216, 580249962, ( -1), 854598219, 324125431, ( -1), ( -1), 803768690, 553854784, 816450492, 692225052, 636745840, 588305959, 312690159, ( -1), 149099968, 605343125, ( -1), 493239938, 135823972, 835240531, 929190729, 934984108, ( -1), ( -1), 398396826, 613047714, 213596671, 419589892, 411954781, ( -1), ( -1), ( -1), 876089733, 285464960, 961058134, 239813000, 23391968, 598495659, 535135464, 599871019, 775159480, 55497267, ( -1), 87906009, ( -1), 471974927, ( -1), ( -1), ( -1), 474557679, 157850962, ( -1), 633636363, 283149974, 33725420, 602708454, 596434670, 971697267, 307232876, 369435913, 564013118, 195431706, 727428865, 359002288, 824462276, 375542787, ( -1), 910421513, 310329478, 931985100, 378101630, ( -1), 427804320, 57463808, 64585721, 485957520, 126897235, 807866784, ( -1), ( -1), 619897920, 250527002, 422321204, ( -1), ( -1), 208068734, ( -1), 291137260, 232266511, 337949822, 979183415, 970132555, ( -1), 769396235, 824206301, 196540645, 855508465, 674217233, 875222424, ( -1), 296639652, 929224176, ( -1), ( -1), 944593089, 802627847, 877442503, ( -1), ( -1), ( -1), ( -1), 781596665, ( -1), 662266591, ( -1), 90348733, 955197346, 227907404, 211026459, ( -1), 789157110, 348079614, 308049404, 119618302, 468767795, ( -1), 589230199, 956245214, 198519222, 125917012, ( -1), ( -1), 430735646, ( -1), 394929293, 640046729, 24813348, 837411948, 416136910, ( -1), 221186770, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 464800076, 739240356, ( -1), ( -1), 633209742, 851500672, 655609727, ( -1), 157826259, ( -1), 368296162, 192591941, 306097427, 852867876, ( -1), 519068182, 418923588, 44598124, 223608669, 674186383, ( -1), 847041676, 517828478, ( -1), 692990225, 291037543, ( -1), 102507759, 213210755, ( -1), 845372345, 303546916, 893779867, 381683354, 314376492, 583402369, ( -1), 341630503, 791666777, 436378660, 789826054, ( -1), 157907772, 38087260, 43099437, ( -1), 912616238, ( -1), 598073167, 874387664, ( -1), ( -1), 798249238, 157144331, 524501946, ( -1), ( -1), ( -1), 703089966, 905385090, 714431410, 749384362, 170069582, 89723322, 520841425, ( -1), ( -1), ( -1), 599162652, ( -1), ( -1), 463606008, 681656017, 510699565, 622289268, ( -1), 428221249, 366652191, 35172587, ( -1), ( -1), ( -1), 391763686, ( -1), 514927866, 782439501, 216389703, 750193297, 22853622, ( -1), ( -1), 324239654, 703199829, 55682388, ( -1), 204281160, 148457178, 690528108, ( -1), 949511924, ( -1), ( -1), 747601853, ( -1), 395560420, 846785310, 572503388, 609712470, 907920327, ( -1), ( -1), ( -1), 933827651, 53300768, ( -1), 421339777, ( -1), 871937569, 864805490, 694162587, ( -1), 748865930, 180804580, 488368884, ( -1), 395659299, 387104424, 638283421, ( -1), ( -1), ( -1), 646638784, 603541451, 213703173, 306414085, 359226105, ( -1), 933553621, ( -1), 343812609, 870569004, 959801104, 498212105, 153385941, 826094156, ( -1), 301295014, 54788651, 64960844, ( -1), 647352113, 238833260, 14822165, ( -1), 41544747, 113517829, 564729097, 963798445, 547399707, 220359125, ( -1), 356336419, 995597670, ( -1), 385017284, 190884130, ( -1), ( -1), 555707468, 911336302, ( -1), 677438716, 300678771, 584271764, 513541940, ( -1), 529136369, ( -1), 978922937, 835035403, 539951068, 790554721, 916085655, 302699318, 457441094, 931980571, 287841433, ( -1), ( -1), 735221438, 962488412, ( -1), 487207863, 211904568, ( -1), 75830145, 136193009, 572649407, 9507128, 547058672, 674190854, ( -1), ( -1), 553750974, 978082887, 281266299, 120489043, 291124431, ( -1), ( -1), 102410990, 722705924, ( -1), ( -1), 781418985, 710353619, 912918799, ( -1), 363395695, 852876839, 573901507, 781251996, 74865412, ( -1), ( -1), ( -1), 852506119, ( -1), 704495539, 748781017, 267365119, 476934182, 491640349, ( -1), 794764159, 378898080, 996495185, 528009230, 556138717, 46373852, 623075795, 821519888, 852573097, ( -1), ( -1), ( -1), 869104890, 577750553, ( -1), 528462488, 195465786, 176877675, 240879834, 764743190, 42311838, ( -1), ( -1), 822779354, ( -1), ( -1), 571707734, 741448689, ( -1), 975062156, ( -1), 811973094, ( -1), 715349301, 553350052, 289454879, 950015844, 322448358, ( -1), ( -1), 381148970, ( -1), 144281591, 19414090, ( -1), ( -1), ( -1), 639363122, 787329124, ( -1), 619010066, 160818432, 476636245, 980039503, ( -1), 943115747, ( -1), 378368299, 551088643, ( -1), ( -1), 624374513, 885889223, ( -1), ( -1), 580356713, 251303298, 839877849, 124405771, ( -1), 53591909, ( -1), ( -1), ( -1), ( -1), 888270720, ( -1), ( -1), ( -1), ( -1), 612996830, 727134947, ( -1), ( -1), 361213554, 31370272, 101926897, ( -1), ( -1), 697147867, 313979210, 664370193, 848079409, 890967147, 58590991, 296431594, 922305345, ( -1), 817366723, 186380200, ( -1), 659895694, ( -1), 428473967, 851670831, 509939359, ( -1), ( -1), 104355630, 47818695, 571950139, 600015772, 506195904, 454065514, 955896897, 762964721, 655782707, 61254411, 256117991, 106821196, 904005838, 335867393, 820963290, 520182604, 814935627, ( -1), ( -1), 173540266, 996241157, 227406544, 709192935, 301673550, 294662916, ( -1), ( -1), 682565830, 604708144, 987564238, 262265414, ( -1), 519447221, ( -1), 763230747, ( -1), 845221895, 267157472, 67846696, 523638675, 463035867, 204603013, 963398219, 619818569, ( -1), ( -1), 806451888, 442846204, 953803844, ( -1), 717769160, 513491916, ( -1), 575613756, ( -1), 866480327, 63760001, 943004888, ( -1), 356760774, 707829947, ( -1), 606489330, 83960316, 213617357, 75736448, 609073996, ( -1), 891356553, 503514706, 805596493, 545725696, 212247853, ( -1), 193505796, ( -1), ( -1), 137349315, ( -1), 715960944, 689707579, 247846656, ( -1), 850316385, 355295920, 170751488, 106100776, 673020967, 839038935, 230718569, 307375045, 295415718, ( -1), 271740230, ( -1), ( -1), 522261802, 152305194, 380249075, 976520314, ( -1), ( -1), 687689559, 643199413, ( -1), ( -1), 407552032, 196622558, 955824339, 538131054, 163978189, ( -1), 603413845, 745141784, ( -1), ( -1), ( -1), 514299337, 723190857, 858556362, ( -1), ( -1), 851293304, 664631900, 977554224, 54420955, ( -1), 540502062, 350389932, ( -1), ( -1), 922759932, 371310844, 631770257, 979508695, 309018547, 410148142, 431098300, ( -1), 202640218, 766872118, 137554401, 945592438, 591064929, ( -1), 311563649, 27033205, ( -1), 964555453, ( -1), ( -1), 489712140, 306013584, 682644801, 522348370, 819041032, ( -1), 301634687, 702683034, 78722688, 719953181, 91728680, 263831413, 398135944, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 633834797, 685537131, 305837619, 126215027, 526262741, 802573069, 947089746, 830875854, ( -1), 744784683, ( -1), 415146025, 30794472, ( -1), ( -1), 741975745, 579425715, 125161258, 338641502, 341035317, 865238853, 698897845, ( -1), ( -1), 784857329, 352017386, 4504321, 986869509, 44293949, 97216064, 416141545, 176410948, ( -1), ( -1), 299614326, 878098738, 124815383, 829447863, ( -1), 129844596, 977396541, 269555217, 974584980, 548008235, 272379191, 426289306, 286667033, 251800923, ( -1), 321415015, 642652237, 245873265, 65583820, 765824528, 619495635, 270277509, 480625760, ( -1), 487716964, 41201183, ( -1), 18609867, 783302699, 818681119, 183157613, 272095786, ( -1), ( -1), ( -1), ( -1), ( -1), 268291770, ( -1), 671471045, ( -1), 914619859, 667310103, ( -1), 239861057, 132927230, ( -1), ( -1), 166751814, 816945421, 155045037, 699418073, ( -1), ( -1), 500895945, ( -1), 463521950, 650592985, 876634341, ( -1), 233063513, ( -1), 692397151, 172587185, 922330235, 676438665, 818745916, ( -1), ( -1), 807148626, 561292375, ( -1), ( -1), 785838176, ( -1), 677599181, 827362163, 812609789, 734204328, 443764895, 96227846, 384441960, 39254217, ( -1), ( -1), 297491892, 369996313, 344320213, ( -1), ( -1), 381692899, ( -1), 733578753, 147678725, 890519518, 908688201, ( -1), 972606460, 354698855, 243442960, 650612668, 798819842, ( -1), ( -1), ( -1), 925026878, 906449766, 485062884, ( -1), ( -1), ( -1), 914192813, ( -1), 486591926, 454156391, 616070555, 328289538, 204597893, ( -1), 676495495, ( -1), 340935702, 704083959, ( -1), ( -1), ( -1), 508997696, ( -1), 197572137, 963755826, 270741253, 759629482, ( -1), 651841676, 212786512, ( -1), 270157212, ( -1), ( -1), 441000735, 762508032, ( -1), ( -1), 811695073, 107765161, ( -1), 837756405, 586204787, ( -1), ( -1), ( -1), 227145001, 537046585, ( -1), 702891028, 764757628, ( -1), ( -1), 328024828, 489408722, 942854980, ( -1), 924207478, 975653794, 603026392, ( -1), 357933969, ( -1), 657645511, 626328736, ( -1), 844671388, ( -1), 93244070, ( -1), 796202949, 336280055, ( -1), 676905739, ( -1), 43275013, 847312163, 402880754, 833980889, 74113528, 408830875, ( -1), 429916628, 390051662, 643457453, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 719633912, 784716198, 273822372, ( -1), 197957252, 536891794, 195582128, 989387726, 10814739, 825567504, 229879536, ( -1), ( -1), 252291512, 999758911, ( -1), ( -1), 366502944, 809594398, 584367605, 11265183, ( -1), ( -1), 858829753, ( -1), 205430380, 908724630, 290830005, 346430590, 429038910, 346035567, ( -1), 83316521, 124691908, 130889668, 497066890, 407632720, 334628446, 430677405, 828369877, 946199244, ( -1), 714793916, 997290564, ( -1), 75330870, 616790420, 795212038, 800652414, 992864799, 560480741, ( -1), 790463390, 487485082, 71647569, 170361988, 575754835, 270019398, 8833611, 68346843, 377026078, 132674135, 814279415, 851836272, 411475801, ( -1), 755517650, 625715111, ( -1), 137249358, ( -1), 440627422, 330137018, 369696328, 532978276, 566992295, 256293623, 669119318, ( -1), 345013759, 242979792, 171778018, 766929262, 915079905, ( -1), 657248371, 417795831, ( -1), 3119588, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 976040411, 930690494, 558474442, 309587, 969955754, ( -1), ( -1), 184585525, ( -1), ( -1), ( -1), ( -1), 963529035, 261423590, 170897792, 505929427, 270623238, ( -1), ( -1), 426386062, ( -1), ( -1), ( -1), 146739684, 229260749, 542029088, 692888078, ( -1), 51982137, 660460872, 195124803, 7669079, 922466357, 588208946, 633386340, 822169661, 452625000, 553748321, 194942613, 621018911, 407644982, 750930632, 921945770, 822203020, ( -1), 549140485, 581702224, 76207687, 554188136, 20481849, ( -1), 598445683, 634537081, ( -1), 820396298, 689204519, 769550614, ( -1), 639645575, 623069792, 953484963, 944265055, 638909581, ( -1), 905583407, ( -1), ( -1), 245678270, 741929766, 9484656, 837129356, ( -1), 679388121, 23786418, 851734928, 14011384, 701182243, 65737502, ( -1), 716777072, 914354842, 915003160, 462330211, ( -1), ( -1), 796514693, ( -1), 416815674, 798839626, 949484626, 6019919, 212695742, 205842947, 283741895, 628642358, 225869993, 73757707, ( -1), 833969606, 548063503, ( -1), 528128897, 277070519, ( -1), ( -1), ( -1), 374318234, 386478423, ( -1), 234020652, ( -1), 397491053, 513934988, 520925960, 374105416, ( -1), ( -1), 584485328, ( -1), 659503719, ( -1), ( -1), ( -1), 715839688, ( -1), ( -1), 879695340, ( -1), 317627497, 938165867, 76911734, 853190606, ( -1), 606625805, 14543389, 121776068, ( -1), 540191929, ( -1), 322364318, 260201410, 894152080, 906459134, ( -1), ( -1), ( -1), ( -1), 485379890, 825884669, 915336262, 738220428, 987032714, 662955797, 419331685, ( -1), 714514943, 353924962, 845057077, 29287171, ( -1), 601057254, ( -1), ( -1), 126742823, ( -1), ( -1), 548440332, ( -1), 811994531, ( -1), 625969321, ( -1), ( -1), 465192908, 102299867, 318408432, ( -1), 696480504, 879057822, 996171614, ( -1), 909893353, 434141154, ( -1), 379736771, ( -1), 550514402, 579453765, ( -1), ( -1), 726488098, ( -1), 79618595, 136619544, 290238065, ( -1), 701412088, ( -1), 462820265, 193747903, 759556744, 657046862, 401298516, 294185927, 145358944, 448397625, 538031856, 368551057, ( -1), 332292947, 988555446, ( -1), 362565596, 146969300, 984865341, 257307466, ( -1), ( -1), ( -1), 485332202, 368289450, ( -1), ( -1), 412490912, 177268827, 838604688, 882374691, ( -1), 302227536, 743914420, 107053602, 839655474, ( -1), ( -1), 513832075, ( -1), 303823941, 249218231, 483857172, 679512195, 738503713, 780945146, 250137851, ( -1), 701776491, 808686823, 241431500, 13186492, ( -1), 38101187, 695059982, 749643386, ( -1), ( -1), 64703451, 463241944, ( -1), 566517097, 248928562, 746242754, 73421311, 558415999, 379557252, ( -1), 249518044, 337540976, 571127153, 69394474, 398125067, 329013337, ( -1), 82421050, ( -1), 976205435, 120559362, ( -1), ( -1), 843196778, 46381001, ( -1), 118682143, 253320553, ( -1), 16681413, ( -1), ( -1), 489326286, 780755626, 141290236, 184264638, 139357229, 694653152, 544832099, 31513909, 724117122, 283994978, ( -1), 335568739, 172696638, 498692420, 598772462, 121866321, 835952998, 37911053, 109035292, 858568327, 521075418, 901824809, 74852930, 673393887, ( -1), ( -1), ( -1), 443831132, ( -1), 145146775, 672168520, 928226175, 327938209, 988005839, 387260565, ( -1), ( -1), 808195341, ( -1), 710803527, ( -1), 918015287, 130829930, 519458710, 700803799, 798305947, ( -1), 706120614, 846247126, 129000303, 715690670, 162059786, 154446859, 531344924, 962657887, ( -1), 654452374, 788806571, 4615349, 147552780, 122973882, ( -1), ( -1), 711984798, ( -1), 981945856, 369113548, ( -1), ( -1), 752595381, ( -1), ( -1), ( -1), ( -1), 349896216, 774446389, 119880879, ( -1), 375306894, 327759508, 536044961, 138205965, 130627198, 899243567, ( -1), 869234763, 259375044, 872392165, 547968462, 220024528, ( -1), 25492898, 402630078, 270904164, 3652502, ( -1), 597729023, ( -1), 881452532, 462271083, 546671223, 155887393, 252750096, 307232981, ( -1), 591722547, 658924238, 480717955, ( -1), 442344794, 932572246, 862144707, 218467025, 594949101, 462199151, 649315743, 859404878, ( -1), ( -1), 345666915, ( -1), 369544700, ( -1), 252135258, ( -1), 977255353, 992054164, 586611611, ( -1), 243785843, 459665685, 810236832, 624561209, ( -1), ( -1), 197929230, 842781767, 236479437, 610736031, 303177075, 826216690, 145817689, ( -1), 792349077, ( -1), 77693352, 560680916, 439510601, 234573885, 489404117, 291396584, 308308106, ( -1), 110429291, ( -1), 178252013, 44207210, ( -1), 418893578, 710008657, 279075258, ( -1), ( -1), ( -1), 833313803, 783035293, 616712535, 279427037, ( -1), 835003467, 374981733, ( -1), 928816135, 164097543, 13709883, ( -1), 926720947, 420911229, 347556308, ( -1), ( -1), 438256367, 367070095, 858407809, 24010650, 365824626, 360730693, 438123159, ( -1), 105393954, 711268883, 635686511, 738263299, 170223068, 143030463, 309852238, ( -1), ( -1), 134154046, 104766636, 466012568, 174924475, ( -1), ( -1), 251158785, 898980361, 793395194, 820734327, 582223955, ( -1), 763680496, ( -1), ( -1), 521831423, ( -1), 62675466, 883579424, ( -1), ( -1), 401160608, 183769011, 930202867, ( -1), 584784731, 902856986, ( -1), 683972889, ( -1), 43008460, 727012242, 715831555, 203411586, 201624473, ( -1), 30275548, 129312191, 156541648, 909186873, 609160576, ( -1), 347509843, ( -1), ( -1), ( -1), 213603072, 859957423, 880535061, 30720499, ( -1), 364885553, 999600230, 630932524, 915698682, ( -1), 331202769, 349836552, 614395943, ( -1), 360907528, ( -1), 93579024, 740730335, 938380625, 809472641, ( -1), ( -1), 545927711, 59700989, 118021559, ( -1), 166871, 21894422, 363776822, 976880346, 545301404, 457349600, 946908365, 567146308, 443227747, 175406115, 542901058, 287980147, 412799732, 518272055, 753114297, 8298343, 737267025, 916110078, ( -1), 623050413, 46885773, ( -1), ( -1), 759721361, 408035736, 819590504, 815694058, ( -1), 909109485, ( -1), ( -1), 134325052, 12195881, 131090112, ( -1), 175763404, 258736702, ( -1), ( -1), ( -1), ( -1), 474386251, 433771074, ( -1), 346235344, ( -1), ( -1), 822810709, ( -1), 506522244, ( -1), 174098875, 705631040, ( -1), 538078612, 825539161, 711545873, 723585704, 202570400, 973423097, ( -1), 9081038, ( -1), 385798322, 63164757, 561958881, ( -1), 471847071, 798771222, 671466008, ( -1), 555423871, 638722775, 305503656, 781753036, 768231854, 87923233, 949210496, 68368044, ( -1), 545160652, 450778456, 120887506, 165740518, 935167252, 29291432, ( -1), 587368533, 55246746, ( -1), 417357976, ( -1), ( -1), 868230290, ( -1), 804828139, 951505082, 301378402, 986746113, ( -1), 433185158, 677414201, ( -1), 966889935, 159629533, 90562787, 280742149, 525053788, 495215678, 449970553, ( -1), 24262527, 194732716, 994770718, 151957392, 192369097, 101319536, 270720658, 982108584, 150713611, ( -1), ( -1), 633833596, 119191373, 344262156, 326967562, 646424158, 235805763, 770862136, ( -1), 389024181, ( -1), 231304897, ( -1), 635652225, 998865099, 452821014, 282240154, 534286197, 393424218, 323062841, 675252059, 319365788, ( -1), 478214301, 368672589, 727927823, ( -1), 16557280, ( -1), 403297240, 96074291, ( -1), ( -1), 608095798, ( -1), 888429536, 233461138, 92219581, 444513844, 489576588, 539096288, 755258757, ( -1), ( -1), ( -1), 803175553, ( -1), ( -1), ( -1), 265572241, 761530522, 926752818, 209361103, ( -1), 683920867, 844938795, 459899047, 192560989, ( -1), 594205385, 58022281, 932153516, 834004924, 648284687, 392097787, 56853531, ( -1), 987172423, ( -1), 944332895, 232694051, ( -1), 469490431, ( -1), 987385232, 190841004, ( -1), 40716789, 214246684, 222673425, 426130835, ( -1), 932019499, 451402914, 623475959, ( -1), 321007611, ( -1), 156167345, ( -1), 89093396, 546090057, 30909105, 89718492, 814672417, ( -1), 96285210, ( -1), 544919877, 78304904, 700963060, 367063043, 75485089, ( -1), ( -1), ( -1), 637824956, 85669461, ( -1), 660863570, ( -1), 80053638, 875682007, 250024570, 291838451, 226329364, ( -1), 892207733, ( -1), 276962345, 973119537, 293011333, 463186846, 978391218, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 840359255, ( -1), 651088357, 612490098, ( -1), 32901487, ( -1), ( -1), 506144572, 953781185, 617709888, ( -1), ( -1), 26779137, 898254602, 611159944, ( -1), 421761028, 601816571, ( -1), 735366888, 293632710, ( -1), ( -1), 960680171, 723587783, 81160219, 890195971, 85670432, 294458192, ( -1), 818057884, 772818957, 248141389, 771811400, 2663414, 128819376, ( -1), 974548890, 903194697, ( -1), 792486262, 223733854, ( -1), ( -1), 802965705, 284678676, 608816457, 721157996, 83287245, 42970543, 60154365, 634504472, 956864804, 715202548, 413584534, 769619707, 566232777, 290184868, 4682038, 479221932, 97630104, ( -1), ( -1), 748869262, 105090690, 389093822, 654168562, ( -1), ( -1), 522241199, ( -1), ( -1), 231706386, 412534500, ( -1), 360265520, 135762669, 137896707, 515953981, 471328949, ( -1), 986841443, 801838931, 913701952, 337244831, 862313227, 559521631, 189139530, 504365961, 259029382, ( -1), ( -1), 268636157, 992986785, ( -1), 66919065, ( -1), 631258594, 939422882, 836210216, ( -1), ( -1), 203863224, ( -1), 517164492, 777040394, 400387058, 126428090, 783690215, 328851303, 66771877, 182777935, ( -1), 131881322, 971238038, 49561193, 912422916, 301384578, 450578845, 960415155, ( -1), 625665839, ( -1), 412207767, 409351585, 209659648, 869545013, 892614227, ( -1), ( -1), 533105853, 594366543, 657451026, ( -1), ( -1), 466510144, ( -1), ( -1), 643819278, ( -1), 130689613, ( -1), 171059776, 978361019, 441317113, ( -1), 88156352, 551441707, 570813980, 401673789, 111510889, 828157198, 80623765, ( -1), 771559827, 325147936, 517446081, ( -1), ( -1), ( -1), 229556563, 553289708, 170938630, 75919219, 451320677, 948254379, ( -1), ( -1), 481163036, ( -1), 36877708, 489494530, 400278447, ( -1), 461342628, 291570745, ( -1), 874618978, ( -1), 306228840, 128828796, 852293451, ( -1), 589939712, 347573343, 662359212, ( -1), 89531476, ( -1), 836192092, 589549719, 484162326, 809510564, ( -1), 455628508, 99809621, 106002763, 594565765, 461745688, 882071357, ( -1), 853637774, ( -1), 959120490, ( -1), 68480414, 485587461, ( -1), 382524242, 287661495, ( -1), ( -1), 632566583, 993309652, ( -1), ( -1), 603793191, 492055792, ( -1), 492202282, 748398866, ( -1), 883249206, 923146674, ( -1), 902848639, 117868862, ( -1), 89400366, 722497739, 271422478, 388672426, 538102969, ( -1), ( -1), ( -1), 406258372, 614314895, 724888039, ( -1), ( -1), 909640353, 550299793, 199149944, 609875740, 922904191, 859649102, 931815745, 187006797, 232210365, 28901882, 232378730, ( -1), 557391965, 253111814, ( -1), 923105111, ( -1), ( -1), ( -1), 313008057, 956001951, 513651255, 725366331, 787576971, 296871273, 392571588, ( -1), 408106809, 528664142, 520239468, 367143382, 258058936, 327267216, 89240775, ( -1), ( -1), ( -1), 406898624, 505489586, ( -1), 4622717, 793202488, 411276899, 474856797, 422184874, 185298307, 912903966, ( -1), 858458673, 954259243, 646612061, 906335049, 29758977, 730373814, 608675139, 886383031, 409543067, 558334217, 102880682, 233075910, 626962779, 624379090, 451616925, 846822822, 596705252, 553159604, 619520465, 209975681, 913156613, 112387692, 900844445, 710155066, 911289092, 324355499, 111788471, 878650605, 548959099, 115092755, 564625470, 49847020, ( -1), 277495552, 333023676, 630503610, 693531715, ( -1), 885824601, 927082252, ( -1), 965743615, 921374106, 803033531, ( -1), ( -1), 803877684, 910156503, ( -1), 637767244, 132996769, 44117536, 435558666, 853108529, 362141142, 411513376, 345270021, 725297305, 433890533, ( -1), 163818802, 464421161, 647890686, 109893082, ( -1), 220671270, 768499914, 984080021, 537213693, 286963640, 559395275, ( -1), ( -1), 495391719, 176427809, ( -1), ( -1), 561786510, ( -1), 568861040, ( -1), 978781013, ( -1), 903449151, 472219601, ( -1), ( -1), 430177872, 988769934, 880789152, 216928556, 535028249, 423932415, 761135921, 912733532, 617002102, 771977530, ( -1), 405688268, 879770853, ( -1), ( -1), ( -1), 987899610, 874640468, 975616942, 746929824, ( -1), 721324812, 689078830, 869450358, ( -1), 365425249, 427557014, 674640896, ( -1), ( -1), 324747736, 469286870, 328263913, 542497667, 635913991, ( -1), 669728957, 473901519, 877330213, 397815591, 612919295, 293018971, ( -1), 333365587, 110927800, 687607717, 702066702, 421874436, 322737467, ( -1), 1986436, 130290917, 461819665, 172147031, 469411371, 199918585, ( -1), ( -1), 571420385, 162741272, ( -1), ( -1), 423499116, 414057276, 925944740, ( -1), ( -1), ( -1), 545445164, ( -1), 46014916, 494127359, 299408628, ( -1), 239301929, 959961454, ( -1), ( -1), ( -1), 100802547, ( -1), 646305559, 281546519, 793777134, 878875026, 909264824, 541482677, ( -1), 598186584, 997761815, 911352577, ( -1), 671134457, 141454661, ( -1), 821716363, 304740586, 44387774, 719846271, 449617607, ( -1), 746435545, 404355579, 819160313, ( -1), ( -1), 538566655, 650286460, ( -1), 818973570, 459989785, ( -1), 691739108, 675242887, ( -1), 429216481, 132453231, ( -1), ( -1), 987925213, 434771123, ( -1), 122066567, 249753669, 105854880, 788438996, 959790502, ( -1), 559666449, 687469286, 360578459, 915286077, 247244881, ( -1), 909542638, 102462823, ( -1), 429412816, 260070845, 561416747, 716464994, ( -1), 719777599, 90996567, 602163526, ( -1), 991885850, 35402996, ( -1), 833005984, ( -1), 793250195, 325515935, 131025592, 86463128, 974960254, 868431414, 867350602, 275103414, ( -1), ( -1), ( -1), 274077452, ( -1), 846792585, 767085043, 369653772, ( -1), 585032734, 715834963, 975657453, 429285610, 332475538, 603738868, 995017378, ( -1), 863295650, 638222047, 43573209, ( -1), 17385183, ( -1), ( -1), 586920729, 815204899, 811994877, ( -1), ( -1), 180568873, 208105075, 15065510, 580856854, 659634913, 599356622, 967056760, 855539730, ( -1), 607067331, 696630392, ( -1), 655328664, 798110064, ( -1), 443539349, 306172457, ( -1), 186447597, 402707507, ( -1), ( -1), 110398633, 242665681, ( -1), ( -1), ( -1), ( -1), 935010918, 985294863, 497252372, ( -1), ( -1), ( -1), 757914505, 276976781, 165747094, 38913073, ( -1), ( -1), 519034755, 765959381, ( -1), 764340227, 805263012, ( -1), 691769818, 92165536, ( -1), ( -1), ( -1), 893063962, ( -1), 559958511, 214860397, ( -1), 978674498, 645649581, 271663488, 234008427, 159009745, 291567782, 470969003, 495171719, 690177214, 228548389, 976283782, 697523559, ( -1), 112437931, 65938144, 486920469, 100701535, 479258365, ( -1), 688612308, 115225876, 710904342, 991484209, ( -1), ( -1), ( -1), 939948738, ( -1), 603126480, 905388, 782578475, 547998656, ( -1), 59962266, ( -1), ( -1), 856257678, 355811328, ( -1), 964636006, 966943113, ( -1), 464952038, ( -1), 652265806, 80220572, 883085161, 489833185, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 935318756, 68746235, ( -1), 937230471, 52727747, ( -1), 300175540, ( -1), 125692654, ( -1), 347095214, ( -1), 897865809, 272717032, 941485093, 893498920, ( -1), 24100304, ( -1), ( -1), 554661459, 813163520, 609572577, 53621257, ( -1), 69040143, ( -1), 213081244, ( -1), 616330244, 988832143, ( -1), ( -1), ( -1), 477933866, 46199563, 841403214, 961572126, ( -1), 723432729, 182222442, 655133653, 551650597, 803344023, ( -1), 870588749, ( -1), ( -1), ( -1), 826664700, 678357370, 774456680, ( -1), 656544823, 762513416, 402560169, 39177686, 217787800, 205956267, 449353683, 390625248, 86562853, ( -1), 778811542, 925385013, 931353364, 462360848, 354931662, ( -1), ( -1), 832327349, 254760443, ( -1), ( -1), ( -1), 489548242, 998653037, ( -1), 325784349, 477330786, 702444902, ( -1), 933358852, 887924321, 571029064, 919621213, ( -1), 5676760, ( -1), 936312764, ( -1), 150916390, 383537592, ( -1), 129722391, 986708156, 353960811, ( -1), ( -1), 506969101, 253430990, 640698757, ( -1), ( -1), 717654870, 691987983, ( -1), 796869465, 765161005, 553064185, 134687688, 413698193, 396097535, ( -1), 209879964, ( -1), 724982646, 785860693, 640329065, 728611702, ( -1), ( -1), 19135661, 741905493, 274159442, 623086234, 976603551, ( -1), ( -1), ( -1), 458366258, 556272849, 796895821, ( -1), 862362932, ( -1), ( -1), ( -1), 87072375, 405092500, 224540043, 698639061, 382660107, 109944080, 660711490, ( -1), 818782504, 693456142, 612104835, 69005210, 677125380, 97364109, ( -1), 919782660, ( -1), 437311925, ( -1), 235928593, 522573974, ( -1), 905922734, 793248249, 896201803, 60031987, ( -1), ( -1), 118034439, ( -1), 194059033, 358334840, 161367053, ( -1), 212950182, 426142138, 828038328, 721116454, 596965084, ( -1), 431577942, 76747845, ( -1), 116490942, 431551761, 961093536, ( -1), ( -1), ( -1), ( -1), 716129532, ( -1), 118109358, 68766594, ( -1), ( -1), 545797709, 879466884, ( -1), ( -1), ( -1), 848593045, 589872647, 257856423, 312832861, ( -1), 99393206, 223010815, 608809633, ( -1), ( -1), ( -1), ( -1), 883252150, 19703105, ( -1), 873497775, 217981167, ( -1), 614151830, ( -1), 329147150, 65639481, 676527816, 691441958, ( -1), 612334098, 535102485, 774301581, 32691304, 539813563, 94343572, 577084854, 112518928, 319037541, 855576429, 81352214, 846242459, 808671562, 780624290, 784383805, ( -1), ( -1), 141031190, ( -1), 509062321, 430967733, ( -1), ( -1), 968350433, 198517706, 962447731, 732150060, 748242837, 549572390, 480689113, ( -1), 88542712, 464987701, ( -1), 946833916, 88744020, 739533407, 827589924, 944953009, ( -1), ( -1), 468545238, ( -1), 604664564, 368850414, 26021383, 623225612, ( -1), 839460043, ( -1), 703686960, 854401801, ( -1), 74467698, 674892359, 306230407, 84858354, ( -1), 728617224, ( -1), 839335590, ( -1), 698112170, 483349098, ( -1), 675971711, ( -1), 399394662, 983100506, 855979899, 995207835, ( -1), ( -1), 778962423, 630113082, 100973322, 226114789, ( -1), 474918431, 969112583, 958229319, 648809473, 326417878, 673688881, 70408766, ( -1), 585449546, ( -1), 786343448, ( -1), ( -1), 475683904, ( -1), 216743572, 528097357, 641116431, 333600409, ( -1), 355374040, 72049810, 904428314, ( -1), 167600114, 774800250, 408906157, 340484622, 380542859, ( -1), 360600981, 485318475, ( -1), 636469458, 899243089, 833543307, ( -1), 704746798, ( -1), 645435777, 978043290, 473689793, ( -1), 388286715, 277633478, ( -1), 321374828, 830026355, 456224253, ( -1), 481931383, 407525337, ( -1), 802461489, 260314653, ( -1), 807062304, ( -1), 980162325, 790159669, ( -1), 446342192, 551894049, 258608333, ( -1), 628588927, ( -1), ( -1), 572710148, ( -1), 674303211, 571205629, 741787451, 477326326, 724630447, ( -1), 439956522, 658136256, 134480071, ( -1), ( -1), 711698888, 323658112, ( -1), 356409568, 969790454, 40571524, 645604379, ( -1), 733671593, 4905308, 903352694, ( -1), 825995342, 581911607, ( -1), ( -1), 78188086, ( -1), ( -1), 331476763, ( -1), 488898875, 287611334, ( -1), 550030252, 333641622, 712043423, ( -1), 988648888, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 355452660, 295467337, 4470021, 858621068, 228543675, 197040090, 740233551, ( -1), 354723752, 81330134, 361044700, ( -1), 494715202, 628443366, ( -1), ( -1), 676493686, 576605419, 388987087, 612423015, 638035354, 884083887, ( -1), 648666835, 954905506, 391720909, ( -1), ( -1), ( -1), 192518293, 974608215, 448233237, 606688911, 999882293, ( -1), 680015282, ( -1), 810572934, 549802651, ( -1), ( -1), 874421589, 359714184, ( -1), 765153793, ( -1), 212395544, ( -1), ( -1), 112793259, 638315174, ( -1), ( -1), 473462413, ( -1), ( -1), 210408170, 47927429, ( -1), 316560673, ( -1), 524863603, ( -1), 471109031, 798457039, ( -1), 111847626, ( -1), ( -1), 125573507, ( -1), ( -1), ( -1), 885419997, 964502684, ( -1), ( -1), 583656840, 46856290, ( -1), ( -1), ( -1), 445086573, ( -1), 966820921, ( -1), 641159948, 344842408, 55022400, 908568822, 440159824, ( -1), ( -1), 479844741, ( -1), 633423197, 195950579, 937793499, 641531671, 551698473, ( -1), 419037205, 746443291, ( -1), 411035401, 302325284, 676959709, ( -1), 787281510, ( -1), ( -1), 960642123, 577807930, 99921352, 269855249, 479570987, 525041134, 246984192, 132576205, 230807381, ( -1), ( -1), 185655070, 853086510, ( -1), 315568896, 37871003, 481840517, 818082060, ( -1), 535124295, 530352169, 547498051, ( -1), 98675630, 318653178, 572178153, 453915937, 333203834, ( -1), 11226418, 311506255, 9982527, ( -1), 395969417, 750237369, ( -1), 156754455, 458790681, ( -1), 281897950, 501549870, 754149298, 794645054, 827820116, 176167298, 962349691, ( -1), ( -1), 550425645, 527168763, 970509688, 398276983, 934868197, 105712804, 269787116, 793206457, 579587850, ( -1), 406523629, 662303757, ( -1), ( -1), 202859629, 197753641, 718014957, 647113493, ( -1), 427996700, 143295913, ( -1), ( -1), ( -1), 921663685, 404505206, 337480880, 367211682, 752372553, 946879062, ( -1), 173455104, 743958580, 963051519, 876630627, ( -1), 498541178, 865158893, 601207035, 370660884, 604561547, ( -1), 599733465, 758291712, 866314906, 139368910, 615117444, 418794855, ( -1), 788591762, ( -1), ( -1), 338662398, 747066682, ( -1), 222265941, ( -1), ( -1), 634125065, ( -1), 249496257, 445990859, ( -1), ( -1), 217867519, 890581911, 157119496, 16165406, 839578954, ( -1), 400164710, ( -1), 980658203, ( -1), 779393016, ( -1), ( -1), ( -1), 561499939, ( -1), 362212970, 460818451, ( -1), 143787191, ( -1), 377197686, ( -1), 305399803, 196525478, ( -1), 542628095, 237659621, ( -1), 282441290, 354375525, 711974038, 651374126, 487096736, 497407200, 36608252, ( -1), 575928645, ( -1), 145909048, ( -1), ( -1), 771533243, ( -1), 101853503, 122272537, 186986508, 674113591, 991263872, 953051667, 171898945, 182003881, 161690124, 371211396, 179156592, 114245524, 410931280, 698792547, 602850135, 226182995, 623921798, 850855563, 55675240, ( -1), 493332152, 427100007, 272561861, 532116030, ( -1), 465278038, ( -1), 568205949, ( -1), 683052221, 453912648, ( -1), 840759105, 425528590, 173385422, ( -1), 955609444, 454067851, ( -1), ( -1), ( -1), 500162702, ( -1), 767466838, ( -1), 346203861, 835446476, 683632824, ( -1), 863187441, ( -1), 392179639, 354593365, 842243571, 644998466, 522745139, 398387782, ( -1), 578112093, ( -1), 72067071, 922331964, 915028051, 620576677, 809732888, 796797837, ( -1), ( -1), ( -1), ( -1), 829085644, ( -1), ( -1), 911212348, ( -1), ( -1), 30003549, 149411100, 117957282, 219183124, 543318817, ( -1), ( -1), ( -1), 792162747, 519178643, 966032098, 35444392, 398908044, 202960658, ( -1), 127594675, 719345166, 511418932, ( -1), 528270375, 413503360, ( -1), ( -1), 55732496, ( -1), 481905770, 655025456, ( -1), ( -1), ( -1), 714299685, ( -1), ( -1), 593531794, 981372714, ( -1), ( -1), 124997642, 82786827, 152748204, ( -1), ( -1), 56308254, 615640085, 398391630, 381114900, 236966485, ( -1), 640542718, 283503868, 464503886, 518841502, 63133062, ( -1), ( -1), 880063527, 353476415, ( -1), 173105281, 389648796, 668582459, ( -1), ( -1), ( -1), 425908909, 441163657, ( -1), ( -1), 664400512, 940798139, 982113549, ( -1), ( -1), 358909901, 302990852, 59593658, ( -1), 82445321, ( -1), 727541789, 88048790, ( -1), 146160877, ( -1), 617524222, 67204103, ( -1), ( -1), 750249753, 468987106, 454987871, 928682572, 624280428, ( -1), 841176738, 331691050, ( -1), 885871446, 619679666, ( -1), 808837573, 479876217, 242604058, 952503202, ( -1), ( -1), 247122615, ( -1), 534779028, 286063269, 732352102, 689408653, 335124717, 959441358, 19159031, 788615996, 399153612, ( -1), ( -1), 954474545, ( -1), ( -1), 804077852, 616841406, ( -1), 292884191, 932719656, ( -1), 119087897, 79504230, 138146318, 228419058, 688549804, 751409725, 538885758, ( -1), 560009819, 203475056, 560472803, 180346512, ( -1), 4468976, ( -1), ( -1), 838173301, 550324818, ( -1), 845947973, ( -1), 636683495, 470662949, 448522621, 33881630, 918468333, 763285390, 417769568, ( -1), 690456567, ( -1), 321069327, 222167919, ( -1), 301005624, 202945142, 893651443, 841590136, ( -1), ( -1), 875806985, 952641502, 350841605, ( -1), 835114899, 725798080, 732549359, ( -1), 484702494, 582586125, 819115604, ( -1), 622781347, 887229116, 642918678, ( -1), 835273247, 872140228, ( -1), 320863807, 315028816, ( -1), 860084787, ( -1), 168309337, ( -1), ( -1), 880889955, 783619789, 147031697, 474452679, 27831181, 875365473, 778897799, 578115991, 583579823, 266420575, 173878940, 943809587, ( -1), 101099954, ( -1), 382449661, 472780686, 30981114, 927011547, 621228357, 278057987, ( -1), 398382186, 335300384, 195949276, ( -1), ( -1), 3282139, 48921114, 217909490, ( -1), ( -1), ( -1), ( -1), 321252394, ( -1), 317689664, 273428562, ( -1), 160705437, ( -1), 542862141, 935491517, 919483614, 326721174, 397815542, ( -1), 436248511, 24409378, 325854786, 832316487, 361889409, 944587546, 905084867, ( -1), ( -1), 246340481, 606568402, 661856746, 243344135, ( -1), 817279305, ( -1), 899413839, 841243443, 136955010, 623887288, 423445959, 840259197, 786443595, 173274351, 370189740, ( -1), ( -1), ( -1), 724144041, ( -1), 832618600, ( -1), ( -1), 30778149, ( -1), 886120208, 512935181, ( -1), ( -1), 359626838, 826783374, 69274386, 102719299, 329157505, 901027518, 181059037, 549660715, 618435280, 212649913, 734912817, 397264282, 773622635, ( -1), ( -1), 544189784, 167229697, 414743182, 314934567, 238943066, ( -1), 78547313, ( -1), 848013450, ( -1), 908959577, 506260755, 253291976, 48369257, 734048187, 971296125, 600170823, 941675702, ( -1), 740248880, 912141895, 747753037, 542327287, 979949729, 575774563, ( -1), ( -1), ( -1), ( -1), 425542672, ( -1), 794786424, ( -1), 790335156, 281329199, 950077548, 967326079, 925718299, 125394915, 536969989, 172052532, ( -1), 756108960, 686006623, 763751762, 150800964, 43822284, 58271660, 926461611, 486200576, ( -1), 789499137, ( -1), ( -1), 557763685, 561256840, 63322068, 340750630, 94837952, ( -1), 308644709, ( -1), ( -1), ( -1), 811528317, 606609306, 916502984, ( -1), 549793102, 714402937, 598923775, 466283099, ( -1), 705933787, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 115163781, 288115070, ( -1), ( -1), ( -1), 899878805, ( -1), 171610185, 841504245, ( -1), 428936397, 907206256, 525324669, 727293336, 324954604, 894931204, 234177750, ( -1), ( -1), 608201276, 615492303, 889412095, 144935795, 863097694, 942776887, 259662377, 248497409, 515261602, 352939419, ( -1), 53226611, 621906736, 270851879, ( -1), ( -1), 593483805, 726208700, 883683398, 80447749, 856128567, 828830300, 941436946, 570900797, 555878392, 392430530, ( -1), 757003928, 439111580, 443420823, 752372230, 635816933, ( -1), 155154292, 150379255, 744885629, 186989043, ( -1), 955501141, ( -1), 783292671, ( -1), ( -1), 435029233, ( -1), 690811041, 11365697, 884212474, ( -1), ( -1), 692176886, 82813141, ( -1), ( -1), ( -1), ( -1), 194538341, ( -1), 425689255, 61207802, 293046729, ( -1), 21188106, 63452295, 43087681, ( -1), 555172293, 635489767, ( -1), ( -1), 650775147, 173597301, 643789394, 250273259, ( -1), 308221642, 613977814, 715059047, 323942444, 385467367, 800996347, 361288943, ( -1), 562510170, 628411263, ( -1), ( -1), 782197897, 957755160, ( -1), 348464704, 198600909, ( -1), 958655775, 656725709, 428280032, ( -1), ( -1), 475418486, 700577784, ( -1), 653675665, 829638928, 320459009, 382125592, ( -1), 686023976, 372964343, ( -1), 896356102, 790083313, ( -1), ( -1), 493496881, 7886082, 755080742, ( -1), 275427777, 147775954, 635591164, 631133339, 415896202, ( -1), ( -1), 16634613, 877357319, 582465442, ( -1), ( -1), 411726045, 618111450, 173126636, ( -1), ( -1), 992349967, 918198047, 113345327, 281543588, 152953277, 488519654, ( -1), 502967242, ( -1), 795439682, ( -1), ( -1), 416365318, ( -1), ( -1), ( -1), 159639795, 741637823, 246304148, 247694805, 424195899, 851829777, 777124680, ( -1), 852184955, 47820794, ( -1), 293207493, 474951165, 516343240, 640423727, 183789369, 404412773, 870705814, ( -1), ( -1), ( -1), 323960013, 823074103, 956579575, 197965223, ( -1), ( -1), 955852421, ( -1), ( -1), 586488683, ( -1), 990429554, ( -1), 722938676, 101452624, ( -1), 141930987, 541519014, 183096807, 109482127, 512728382, 361844404, ( -1), 922643109, 914084825, 409659837, 433847164, 872828396, 235036879, 2477878, ( -1), 940971018, 388007593, ( -1), ( -1), 751220925, ( -1), ( -1), 169816937, ( -1), 267055522, 687083308, 4262920, 464499078, 550288658, 255762160, 644010152, 381412732, 302689646, ( -1), 503625904, 3526763, 649817664, 264154860, 731439576, 142160280, 481836628, ( -1), ( -1), 967194352, ( -1), 804469612, ( -1), 195788099, 605646982, ( -1), 617110149, 880913107, 620664050, 233883097, 96615753, 315892161, 16321782, 743749136, ( -1), ( -1), 703518739, 39867481, 402260162, 818249428, 604278649, 666702322, 691856439, 457482670, 646452093, 528814838, 719290802, 633703978, 124023624, 849715179, 632915196, ( -1), 909692463, 694213178, 653201830, 443500629, ( -1), ( -1), 870683116, 407602053, 785543099, 696165922, ( -1), 119937220, 902939165, 758753751, ( -1), ( -1), 649216124, 586785907, 969074688, 941294810, ( -1), 508500825, ( -1), 83328781, 554038139, 409444844, 863366252, 874075303, 751694411, 20241242, 349096338, 441023379, ( -1), 476001158, 449051962, ( -1), ( -1), 758335312, 454703637, ( -1), ( -1), 165523991, 303221436, ( -1), 664321851, 268381774, 772636309, ( -1), ( -1), 317867602, ( -1), ( -1), 18965250, 578397571, 236443953, 570079223, 632849165, ( -1), 129412113, 882708466, 968770612, 271706301, 34634604, 285909336, 279669017, 516995117, ( -1), 50913909, 833529106, ( -1), ( -1), 948044831, ( -1), ( -1), 157227144, 490908491, 272525993, 372801457, 763267172, 106076399, 401667804, 186875300, ( -1), 750097861, 426677540, 915908129, 362739392, 658627500, 293717461, ( -1), 144651743, 529142563, ( -1), 354761214, 166855928, 357268444, 27583922, ( -1), 665128514, ( -1), 830161608, 86874813, 31003641, 809831394, 400523628, 969948823, ( -1), 909203636, 30270532, 632614119, 412990219, ( -1), 632012621, 334936418, 448635359, ( -1), ( -1), ( -1), ( -1), ( -1), 768925840, 188079164, ( -1), 759531792, 719309641, 664915083, ( -1), ( -1), 843593744, 335884890, 715427875, ( -1), 155809633, 699237290, 829697573, 883488041, 898748044, 759889324, ( -1), ( -1), 739900017, 831600810, 58098534, ( -1), ( -1), 745803589, 563485217, 488590670, 476512832, 436641825, 598613554, 180911343, 796179465, 3294394, ( -1), ( -1), 349826160, ( -1), ( -1), 796729592, 507354999, ( -1), 849844299, 660247610, 419519062, 852352651, 80148471, 570812386, 359875461, ( -1), 91812147, 301971236, ( -1), ( -1), ( -1), ( -1), 184850871, 669430945, 647453924, 439857966, 603469199, ( -1), 82360026, ( -1), 918213115, 629819040, 950428011, 172096624, ( -1), ( -1), ( -1), 758219979, 278921012, 648694797, 529732587, 861203948, ( -1), ( -1), 712505140, ( -1), 29602362, ( -1), ( -1), ( -1), 652329257, ( -1), 244557698, 653836484, 731100439, ( -1), ( -1), 954174758, 711532576, ( -1), 715227139, ( -1), 964289053, 737705500, ( -1), 978943852, 293487704, ( -1), ( -1), 179340102, 845509082, 598280912, 956595431, 320872044, 849579716, ( -1), 474547219, 486302723, 980236455, ( -1), 444509454, 465617938, 452484049, 389341558, 258300563, ( -1), 139087487, ( -1), 60236877, ( -1), ( -1), ( -1), 574483283, 244500327, ( -1), ( -1), 52679127, 9310317, 697465899, 193427574, 780952992, ( -1), 29315184, ( -1), 231429746, 799576897, ( -1), 256298456, 653662594, 146517293, 201476290, 126617792, ( -1), 114382151, ( -1), 961765327, 416771569, 381322371, 867109632, 757113083, 294817171, 857422606, 995245276, 66280883, 649844355, 979801111, 818731662, 815563478, 761693206, 994893333, ( -1), 101441055, 353164314, 804331177, 4123495, 833077775, 439200445, ( -1), 806336202, 194113985, 327614188, 44180192, 858681328, 360101811, ( -1), 665608165, ( -1), 403068354, 205714903, 989225374, ( -1), ( -1), 651064273, 735234858, 441327878, 846993062, 762719454, 120951222, ( -1), ( -1), 341692283, 935762240, ( -1), 428201593, 908554547, 822994224, 599607741, 626542867, 508012354, ( -1), 801858500, ( -1), 548861991, ( -1), 917875521, 135183271, 383951946, ( -1), 506467702, 404499421, 85424830, 494463618, 143157163, ( -1), 174944046, ( -1), 676962404, 477141770, 826716076, ( -1), ( -1), 408623724, 609284775, 371311168, 15367978, 990083124, 484205621, ( -1), 807687416, 398732408, ( -1), 971408138, 297519010, 576028974, 945551093, ( -1), 281579994, 604242415, 937828694, 808782237, 809091444, 468683714, ( -1), 857397859, 829636929, 67054715, ( -1), ( -1), 968033863, 680607797, 170248132, 24572906, ( -1), 701576637, ( -1), 180574994, 888487531, 323933352, 609307406, ( -1), ( -1), ( -1), 806800799, 257684847, ( -1), 84785238, ( -1), 385307882, 362661115, 778627055, ( -1), ( -1), ( -1), ( -1), 736927481, 219794810, 948168594, 254751240, 414065049, 115159391, 705624942, 971368671, 981398487, 402346501, 412633102, 467150195, ( -1), 747999028, ( -1), 891690192, 448014273, ( -1), ( -1), 589323927, ( -1), 776733001, 786397188, ( -1), 477887132, 476107300, ( -1), 356669111, ( -1), 168219191, ( -1), ( -1), 862356701, 234546659, 903002843, 804306566, ( -1), 57735649, ( -1), 848778436, 922363431, ( -1), ( -1), ( -1), ( -1), 831706749, 720856338, 636614234, 82770658, 62000293, 184123445, 294045722, 68626997, 640571584, 111200135, ( -1), 623137763, 690026129, 773666173, 904222983, ( -1), 705401607, ( -1), 824474336, ( -1), 701059666, ( -1), ( -1), 860878132, 437134090, ( -1), 751618132, 770499222, 114936978, ( -1), 798844620, 45986221, ( -1), ( -1), 739095059, 940969518, 1243988, ( -1), 625000482, 706821867, 874904235, ( -1), 552284530, ( -1), 127979699, 915035824, 607130172, ( -1), ( -1), ( -1), 646301367, 696869307, 947361481, 245245454, ( -1), 791324037, 295705846, ( -1), 565940284, 559744816, 775174977, ( -1), 54114318, ( -1), ( -1), 962467654, 481350507, ( -1), ( -1), 857593928, 712515688, 861684993, 426881372, 154957286, 647065405, 531607680, ( -1), ( -1), ( -1), 421991667, 966192772, 818750621, 920193864, 55162173, 643188144, 981166563, 724044115, 320310238, 299891168, 860962775, 761292243, 941119188, 483460057, 874303194, 795473671, 311206500, 346638888, ( -1), ( -1), 775839411, ( -1), ( -1), 796622223, ( -1), 723359478, 962988820, 390909916, 438370598, 852994330, 650952727, 818011950, 413963877, 843578549, 417154486, ( -1), 286284916, 592384219, 941984613, 295838085, 846009848, 801343017, 576462264, 183415881, 117933200, 71065440, 109812939, 89574173, 666312388, 864632260, 948470850, ( -1), ( -1), 468227079, 654383437, 633540926, 561888799, 959629667, 954396455, ( -1), 812421141, 161739030, 746739237, 614557943, ( -1), 656294908, ( -1), 462376447, ( -1), 371761526, ( -1), 515041222, 551722352, 251607108, 843697989, 179338130, ( -1), ( -1), 294481814, ( -1), 749173256, 20701674, ( -1), 995854937, 115226888, 614741472, ( -1), 199984177, 251828255, 50424528, 573758671, ( -1), 539712591, ( -1), 389002499, 251326773, ( -1), 816521621, ( -1), 357321094, 841890636, 132811243, 366452577, 88001665, 834104057, ( -1), 568214042, 856511927, ( -1), 60959654, 91925475, ( -1), 87912943, ( -1), 789722670, 810268136, 732068835, 451864633, 782061336, 996033750, ( -1), 350613755, ( -1), 523777286, 641206512, 99243420, ( -1), 791830993, ( -1), ( -1), 730236396, 33939467, 380440400, ( -1), 128966150, ( -1), 861270045, ( -1), 473053448, 870509250, ( -1), 573835261, 27589501, 837029267, 129970563, 158494570, 635771226, 655191508, 129662720, ( -1), ( -1), 137820298, 935300853, 487511700, 65020077, 265709204, ( -1), 535662271, ( -1), ( -1), ( -1), ( -1), 727108352, 726094638, 369576692, 711027791, 675608201, 279954334, 420390291, 741338033, 791775458, 338126531, 39794661, 312593141, 106688467, 21674913, ( -1), 765235874, 850799937, ( -1), 838372388, 138142188, 2495315, 225606216, 829249898, 373313296, 625992094, ( -1), ( -1), 379702735, 368878675, 902401475, ( -1), 634559766, 995795494, 651208885, 988744222, 538414128, 361462838, 554070910, ( -1), 228473480, 55074041, ( -1), 995143737, 134799734, ( -1), ( -1), ( -1), 972138229, 426993221, 938049210, ( -1), 688031275, ( -1), 2661696, 386144112, 630249223, 669486913, 951296403, ( -1), ( -1), 154900751, 544397677, 483543920, ( -1), ( -1), 279293214, 510159250, 854348026, ( -1), 971775189, ( -1), 559493633, ( -1), ( -1), ( -1), 951871249, ( -1), 14552051, 895848603, 246915431, 768965297, 216747153, ( -1), ( -1), 226706424, 952228290, 667142707, ( -1), ( -1), 135173267, ( -1), 870361193, 54969424, ( -1), ( -1), 762652355, ( -1), 779719627, 9979399, ( -1), 667320556, 631128367, 783581661, ( -1), 178192634, ( -1), 908817211, 43948706, ( -1), ( -1), ( -1), 908226192, ( -1), 825998036, 255115353, ( -1), ( -1), ( -1), 938576796, 355690294, ( -1), 541047954, ( -1), 412639827, 804669288, 592492428, 742250814, 768728503, 907553956, ( -1), 268314956, 228915459, 932501789, 460685346, ( -1), 246567358, ( -1), 971806050, 167861404, 723596183, 979803535, 996695589, ( -1), 165093008, ( -1), ( -1), 711249474, 660325130, ( -1), 695241843, 984040375, ( -1), ( -1), ( -1), ( -1), ( -1), 997543289, ( -1), 298553215, 185413470, 42853859, 110504988, 26022940, 183085614, 328537955, ( -1), 423836769, 617925305, 956689310, 862555971, 265978773, 136339090, 333432285, 881060985, 877977018, 815917302, 812815338, 693104321, 714780345, 382477173, 460345872, ( -1), 146100470, 935080282, 81306883, 3853175, 438883481, ( -1), 585260294, 178725628, ( -1), 909062720, 660599694, 612851917, 515535532, ( -1), ( -1), 791732465, 634559302, ( -1), 778450700, 112709689, 5376033, 749937319, ( -1), ( -1), ( -1), ( -1), 499508947, ( -1), ( -1), 241695962, ( -1), 59690756, 484563887, 563772396, 341598785, 738506203, 176673200, ( -1), 917468880, ( -1), 204530381, 383627000, ( -1), ( -1), 988172828, 500246958, ( -1), ( -1), ( -1), 306590799, 78808441, 216502164, 648048652, 31108737, ( -1), 288504543, 402343673, 320968597, 785571135, 53437038, 359291033, ( -1), ( -1), 880939482, 505787578, 205613964, ( -1), ( -1), 246460165, 558292408, 389193838, 422311158, 213453949, 123459489, 574550995, 553906916, 672226678, ( -1), 29451313, 110245864, 180324673, 69060664, 145974288, 624896972, 673298007, 832918730, 724902772, ( -1), ( -1), ( -1), 852667224, ( -1), 378730225, 147153456, 62883998, ( -1), 942871306, 385159295, 81797684, 92109038, 702235106, ( -1), ( -1), 11787313, 494380052, 489703627, ( -1), ( -1), 618142634, 889767016, 937925002, ( -1), ( -1), 173922400, 741411962, 84339057, ( -1), ( -1), 353330729, 559212598, 220465992, 355021387, ( -1), 860291186, 50729291, ( -1), ( -1), 711959597, 718870961, 828150027, ( -1), ( -1), ( -1), 724131842, ( -1), 118250732, 871097870, ( -1), ( -1), 709881006, ( -1), ( -1), ( -1), 374309359, 490516979, 674737255, 88627464, ( -1), 405110229, ( -1), ( -1), 679503961, 628832246, ( -1), 90565457, 364467688, 511299975, 173852508, 252767311, 660290437, ( -1), 308469119, ( -1), 624052953, 874258603, 427835957, 858045513, 450702383, 674753188, 784035138, 195472792, 787360406, ( -1), 381088739, 107459309, ( -1), 627039655, 890381892, 105309712, ( -1), 476948810, 882199360, ( -1), 538609200, 611641242, 907693747, 472105162, 279290474, 737348331, 894189802, 496317595, 611947152, ( -1), 695431233, 459655522, 512225424, 153696533, 305285726, ( -1), ( -1), 68762945, 325645935, 319577127, 221021884, 761788752, ( -1), 745954965, 639362414, ( -1), 348496954, ( -1), ( -1), ( -1), 939217274, ( -1), 338714206, ( -1), ( -1), 446048740, 889488539, 48653990, ( -1), 952218563, ( -1), 567241090, ( -1), ( -1), ( -1), 392859406, 215371613, 234784500, ( -1), 886575584, 447819687, 821918542, 38697615, 810052211, 791628185, ( -1), ( -1), ( -1), 681684839, 137835748, 323088428, 133980699, ( -1), 240318852, 522572808, ( -1), 839955776, 606814213, 303138606, 155776776, 110194829, 350892973, 461122239, ( -1), ( -1), 961701241, 987248975, 539633392, ( -1), ( -1), 481524056, 165874039, ( -1), ( -1), 873963654, ( -1), ( -1), ( -1), 752770829, 379868549, 406108904, 160702399, ( -1), 666069818, 426176315, 174469160, ( -1), ( -1), 80209785, 131735849, ( -1), 281681695, 593503547, 350329890, 704073900, 346814352, 546227159, 594938397, 770225015, 623495373, ( -1), 419761309, 471949202, 322435817, 87185771, 203165221, 806207828, 12648599, ( -1), ( -1), ( -1), ( -1), 529911965, 156436980, 830753541, ( -1), 63997593, 976370727, 883365098, 668246074, 679955297, 623876079, 281537226, 500061028, 871854314, ( -1), 622164302, 538672222, 408874380, 452339302, 712132752, 35591801, 536264985, 277416785, 529773762, 383603449, 170159316, 713710815, 512553102, 764402222, 634094764, 462573669, 23565381, ( -1), 497906607, 690783325, 244440917, ( -1), 322519909, 647087155, ( -1), 594237874, 970499466, 480358818, 242701433, ( -1), ( -1), 158487036, 962114803, ( -1), ( -1), 253407275, 805081930, ( -1), ( -1), 589682943, 940712837, 829565731, 437536077, 364276083, 182746412, 645758408, 553262842, 65049268, 165159804, 746792320, 154529553, ( -1), 586906086, 369585773, 184809329, 776064310, 229618851, 682636225, ( -1), ( -1), 82593912, 749616296, ( -1), 822443388, ( -1), 851037621, 845311585, 147745125, ( -1), 459382652, 960114399, 691218719, 762222045, ( -1), 793483778, ( -1), 1330426, 346939596, ( -1), ( -1), 543788783, 317825354, ( -1), ( -1), 319748487, ( -1), 851200887, 939007965, ( -1), 901628450, ( -1), 961378364, 947677046, ( -1), 428855310, 985075626, ( -1), 427358218, 442895130, ( -1), 158298235, 944003189, 339148425, 614992308, ( -1), 163793841, 276739861, 489926811, ( -1), ( -1), 682833611, ( -1), ( -1), ( -1), ( -1), 453464273, 936691968, 516434052, 612395113, 524488824, ( -1), 418005018, ( -1), 980471706, 278453593, 633130747, 561110577, 90597801, 14361629, 820966736, 751081648, 989605446, 966275852, 985974123, ( -1), 982317817, 948324684, ( -1), 472730077, 612437394, 487463941, 440709391, ( -1), 41545141, 970054733, 739196087, ( -1), ( -1), 634056058, ( -1), ( -1), 733715904, 508715304, 333121974, 149301928, 52722605, ( -1), 844875989, ( -1), 466112735, 582880663, 672791775, 487548678, 244972661, 212166279, ( -1), 860400168, 369653005, ( -1), 855035130, 305513499, ( -1), ( -1), 823799221, 438106884, 815315696, 753641384, 766644670, 757729423, ( -1), ( -1), ( -1), 622359293, 333941598, 603571415, 598578545, ( -1), 370337508, 880971287, 258613435, 820795638, 153379999, 250804468, ( -1), 80294590, 8777687, 357828918, ( -1), 491163962, 765332601, 60074655, 204895097, 2804535, 220880987, 383745009, 862370426, 622695615, ( -1), 713051738, ( -1), 777339805, ( -1), ( -1), 209109769, 699290107, 489433864, 632754858, ( -1), ( -1), ( -1), 467299867, ( -1), 888455270, 781298613, 267554089, ( -1), 872645850, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 747910480, 865081331, ( -1), 566181124, 847463622, 70566597, ( -1), 615584103, 79884406, 991913164, 201423996, 186313409, 191491836, 176315692, ( -1), 706827814, 563547250, 62735422, 454423449, 319464841, ( -1), 291096407, 161674215, 773510645, 678424041, 556962170, ( -1), 421601912, ( -1), 219043779, 174776598, ( -1), 479560205, 124279862, ( -1), ( -1), 259165021, 44038385, 979654421, 751030415, ( -1), ( -1), 589256348, ( -1), 269247559, ( -1), ( -1), ( -1), 464044560, 763671711, 123408105, 562531621, ( -1), ( -1), 812557658, ( -1), 879877640, ( -1), 957494319, 6444296, 409339546, ( -1), ( -1), 896202323, ( -1), 822879374, 754674594, 692755669, 507652237, ( -1), 159817017, ( -1), ( -1), ( -1), 776086034, 707613534, 183584923, 233633422, 461271074, ( -1), ( -1), 136654369, ( -1), 875117455, 225612140, 221265352, 27930292, 908805606, 216840853, 193242892, 807331105, ( -1), 981994963, ( -1), 341609129, 31122346, ( -1), ( -1), 215308168, 33082528, 632374418, 11472577, 361059218, 48054806, 685629907, 592189093, ( -1), ( -1), 616202679, 764145789, 660426764, 982310120, ( -1), ( -1), 382104469, ( -1), 345291481, ( -1), 157156754, 745471012, 921907605, 481952613, 144239667, 117612984, 935249140, 665274012, 946288326, 587690658, 886122716, 604841726, 696443625, 66780119, ( -1), ( -1), ( -1), 965319439, 59204950, 820073253, 394592733, ( -1), 77026042, 96618368, 737400251, 105538472, 195940339, 4225304, 787644227, ( -1), 877782167, 726498958, 646701568, ( -1), 940572477, ( -1), 251193343, 63651216, 974638620, 329637630, ( -1), 530649750, 94879066, 499456894, 782913193, 261018208, 173459564, 884530774, ( -1), ( -1), ( -1), 57658643, 304729357, ( -1), 180049890, 701888947, 698676382, ( -1), 319421073, 70350700, 397062897, 295877607, 291199416, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 853724137, 715382416, ( -1), 77838960, ( -1), 567365737, 212684182, ( -1), ( -1), 97177998, ( -1), ( -1), 106990077, 733306709, 179300501, 233581547, 426972699, 306524831, 622480326, 549056372, 649444861, 625930950, 616115685, ( -1), 609493711, ( -1), 15979099, ( -1), 6409291, ( -1), 782328217, ( -1), 53635899, ( -1), 524365696, 878469499, 235724792, ( -1), 763126844, ( -1), ( -1), ( -1), 189842537, 878542380, ( -1), 617769283, 917908109, 335872011, ( -1), ( -1), 392241601, ( -1), 745719175, 546241204, ( -1), 126907135, 76394781, 90773286, 508296632, ( -1), ( -1), 527668454, 553110007, 695899230, ( -1), 395189008, ( -1), 709615481, 477842619, 705822592, 33871840, ( -1), ( -1), ( -1), ( -1), 973101342, 191700425, 273310671, 22712167, 728780206, 163823890, 701574206, ( -1), 205872743, ( -1), ( -1), 188659627, 30712987, ( -1), 331959029, 454006274, 749115234, 590006118, 781546730, 222940630, 231507679, ( -1), 939411738, 885528109, ( -1), 180310734, 535564749, 621868070, ( -1), 194900090, ( -1), 953115169, 648464995, 369087657, 969255284, ( -1), 370481573, 614265770, 116459781, ( -1), ( -1), ( -1), 187740252, 661068844, ( -1), 251624771, 229593506, 280570690, ( -1), 17864784, 911333422, 6678243, ( -1), 156024514, ( -1), 127063246, ( -1), 199092126, ( -1), ( -1), 206818268, 256557359, 704816075, ( -1), 741676008, 685377855, ( -1), 474732525, 949109928, ( -1), 678436678, ( -1), 294318520, 757552169, 797748592, 893741782, 644554985, 447740227, 225967047, 371624052, 96103668, 988391958, 209947038, 256182410, 590119033, 805533469, 898688691, 292672273, 136131719, ( -1), ( -1), 415888819, 953721264, 154080472, 990228341, 26784963, 461062387, 236089184, 435314942, ( -1), 595120499, 320172628, 557381512, ( -1), ( -1), ( -1), 691572659, 786855616, 939425932, ( -1), 135530516, 366138791, 91564554, 491221407, 78150024, 650583800, ( -1), ( -1), ( -1), ( -1), 379186642, 239147878, ( -1), ( -1), 249871188, 982707694, ( -1), 303349047, 994708361, 509199682, 610087589, 514929851, ( -1), 707047166, 250198874, 328598499, ( -1), ( -1), 128154328, 47720491, ( -1), 992440588, 660832643, 527224233, 749423739, 990509344, ( -1), 57567449, 373186925, ( -1), 299888326, 756137787, 745374408, 618374011, ( -1), ( -1), ( -1), 35335286, 970238860, ( -1), ( -1), ( -1), ( -1), ( -1), 458103215, ( -1), 531005511, 90890190, 732841470, 910230702, 157681007, 38718335, 742620518, 438786602, 23278447, ( -1), 788600646, 28481059, 11773071, 613266828, 318442688, 273000468, ( -1), 712719420, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 920861239, 317157822, 483839298, 277383564, ( -1), 796674101, 509637537, 929851729, ( -1), 231746398, 348433751, 314763335, ( -1), 329193084, ( -1), ( -1), 378454985, ( -1), 256890141, 182200835, ( -1), 960865568, 560965292, 303173430, ( -1), ( -1), 646873201, 906748265, 120114497, 974158801, 941856430, 477377126, 147046885, 619347391, 588447318, ( -1), 436505618, ( -1), 364764053, 547276559, ( -1), ( -1), 313241378, 407672089, ( -1), 54586508, ( -1), ( -1), 537608821, 259914125, ( -1), 331313478, ( -1), 116977488, 911425639, 648063739, 615251940, 706203459, 227196848, 234587512, ( -1), ( -1), 272908233, 252016740, ( -1), ( -1), ( -1), 281593934, ( -1), 131091630, ( -1), ( -1), 450308975, 293541223, 412344638, ( -1), ( -1), 989979525, 283218957, 526183745, 185522750, 180396365, 860932785, ( -1), 275701355, ( -1), 843563287, ( -1), 949112354, 60638215, 494741734, ( -1), ( -1), 771376938, ( -1), 706513270, ( -1), 842234669, 818510447, 47867005, 6669647, ( -1), 306410968, 815876715, 779150370, 6967638, 372642669, 160924719, 956469301, 526832632, 284473045, ( -1), 755255973, 139142941, 928146350, 845810963, ( -1), 305512306, ( -1), ( -1), ( -1), 693727254, ( -1), 531703008, 740881484, ( -1), 239752530, 496304192, 951329618, 253194939, ( -1), ( -1), 644914135, 872272200, 550629269, 965101178, 674836468, ( -1), ( -1), 676280162, ( -1), 556628617, 429145885, 610737102, 476293234, 764982776, 287449169, ( -1), 405099960, 577404077, 441239405, 524792016, 859001093, ( -1), 825845464, 766338823, 819462522, 993291823, 889240565, 856307086, ( -1), 228918306, ( -1), 102786776, ( -1), 111770573, 883252643, ( -1), 42102392, ( -1), 774528820, 128440603, 460426179, 838835612, 432174736, ( -1), 89350427, 61593150, 73274883, ( -1), 348772074, 888342222, 321201026, 242841912, 94280782, 190472097, 878343617, ( -1), ( -1), 332784098, ( -1), 875900456, 478232485, ( -1), 722726551, 811320218, ( -1), 748753210, ( -1), 891892561, 740167156, 667344435, 879277517, 115809703, ( -1), 737335567, 814346255, 115766597, 178751129, ( -1), ( -1), ( -1), 98821646, ( -1), 270562949, 294292422, 687130280, ( -1), ( -1), 604840887, ( -1), 541368335, 211836132, ( -1), 911710848, 847743212, 195512828, 260280320, 663331549, 185634168, 505292049, 98335688, 273216716, ( -1), ( -1), 383964247, 324139757, 858198353, 997965553, ( -1), 305689223, 593486424, ( -1), 683599974, 908941459, 632248751, ( -1), ( -1), 784712227, 663089009, 848875305, 69472402, 630148468, 856698995, 70653237, 677200140, 397211703, ( -1), 689887702, 624278728, 443833639, ( -1), ( -1), ( -1), 681201333, ( -1), 703185325, 664029115, 449983450, ( -1), ( -1), 832274615, 249908387, 248053712, ( -1), 194612491, 302373054, ( -1), ( -1), 120568019, 555743798, 843649324, ( -1), 340284778, 330543629, 29872945, 619551398, 428509734, ( -1), ( -1), 311308236, 808967767, 527096728, 325315769, 466475353, ( -1), ( -1), 790558450, 200881265, 956229123, 234600215, ( -1), 863641810, 698473872, ( -1), 188608075, 640794203, 96945412, ( -1), 951776027, ( -1), 1938476, 226496675, 653000210, 573079181, 267318255, 589780970, 221567882, 588244403, ( -1), 639880864, 652032192, 823485021, 662038748, 762054987, ( -1), 691457686, 568374139, ( -1), 91396936, ( -1), 195181355, ( -1), 378128560, 278919346, 736897871, 844510764, 865231007, 712732076, ( -1), 117011876, 900269074, 48634420, 361201880, ( -1), 431894776, 440452957, 317189171, ( -1), 858188290, 709312010, 42722126, 552130133, 913292336, 584562451, 112521855, 509617779, 988458206, ( -1), 788676201, 729272504, 860793633, ( -1), ( -1), 478905813, ( -1), 694565322, ( -1), 791980958, 810514565, 858380844, 391293751, ( -1), ( -1), 409851648, 194798971, ( -1), ( -1), 388626199, 358605966, ( -1), 252383799, ( -1), 168587025, 873764867, ( -1), ( -1), ( -1), ( -1), 70161909, ( -1), 583475813, 537794628, ( -1), 595563973, 863522157, 621033530, ( -1), 400841085, 570302322, ( -1), 758730025, 377463523, 40606064, 77449478, ( -1), 344241552, 591527448, 996367917, 953832744, 736715916, 417424706, 667117342, ( -1), 556400775, 602629847, ( -1), ( -1), 428661590, 512165926, 89642440, 854654438, ( -1), 124386588, 885781173, ( -1), 787320452, ( -1), ( -1), 526463127, 886657422, 523382733, 202785968, ( -1), ( -1), 811040764, 725730447, 416514146, 276534798, 823931541, 801956224, 387433404, 765503646, ( -1), ( -1), 752010663, 177806365, ( -1), ( -1), 752155731, ( -1), ( -1), ( -1), 969485555, 471761467, 544100711, 256690117, 159193424, ( -1), ( -1), ( -1), 33977159, 292428246, 879122413, 636091251, 705067670, 148689831, ( -1), ( -1), 688285490, ( -1), 32293821, ( -1), 495292076, ( -1), 639299593, ( -1), 391358644, 175702897, 410327193, ( -1), 353288458, 997735627, ( -1), ( -1), 783072954, ( -1), 228047159, 193999161, 66691671, 673194530, 332202828, 240635500, 526541435, 5161056, ( -1), 527474844, 994054230, ( -1), 532625965, 24681852, 261430795, 918132585, 321634760, 248059017, 279725403, 781197586, 601177302, 119662659, 544775063, ( -1), 388672745, ( -1), ( -1), 558535099, ( -1), 708159948, 312391251, 330730146, ( -1), 73535299, 2203456, 558252726, 918087972, 817655156, 727982758, 152133883, ( -1), 883834453, 891307428, 744130292, ( -1), ( -1), 108637964, ( -1), ( -1), ( -1), 888697085, ( -1), ( -1), 797703693, 367629641, 110048579, 107465735, 199931027, 273977884, 418156987, 698613312, 12743145, 14552552, 698607880, ( -1), ( -1), ( -1), ( -1), 706688664, 129881521, 278744941, 446357034, 39472234, 525405556, ( -1), 184460179, ( -1), 594732859, 768969278, ( -1), 224520832, ( -1), 157119772, 964523228, 209290688, 647074898, 376443261, ( -1), 865062326, 374484880, 542820997, ( -1), ( -1), 385188122, ( -1), 602504672, 725144745, ( -1), 175091878, 432507346, 370440745, 663288169, ( -1), 812567228, 456167144, 969744247, 681771572, ( -1), 941021221, 990960199, 324330354, ( -1), 719500109, 651275181, 562182298, ( -1), 776540101, 33282740, ( -1), 335610403, ( -1), 673587923, ( -1), 721049555, 508761144, 63667655, 484871097, 9754360, 541038674, 879899066, 109074822, 682656646, 764357562, 853061369, 496062436, ( -1), 581770996, 370138314, 217711289, 128334042, ( -1), 727163039, 585191582, 617703042, 50188458, 929881616, 74297044, 921620163, 127765073, ( -1), 678215017, ( -1), 194889121, 409064347, 330130579, 439331705, 80340636, ( -1), 667266764, 937150447, ( -1), 186967556, ( -1), ( -1), 552712543, 331311258, 146315680, 651954249, 144341638, 673190601, 951913996, 832081088, 258114468, 538966144, 434163285, 487319053, 256128229, 710661137, ( -1), 2598853, 981779953, 92613821, ( -1), ( -1), 903200256, 405292575, 951232048, ( -1), 772489447, ( -1), 710457526, 731501420, ( -1), 213351229, 70793344, 656460660, 108975162, 268202329, 25324895, 790280405, 262937795, 377469274, ( -1), 789778141, 49795243, ( -1), 20708664, ( -1), 610286278, 259205740, ( -1), ( -1), 591151365, 422035448, 666980349, 918835892, 459916470, 139333429, 467524737, ( -1), 359448495, 421089328, ( -1), 602305013, 945891233, 967750710, ( -1), 812628991, 951140566, 757184668, 255774246, ( -1), 29699062, 614264225, 855421904, 961312664, 611544827, 134254966, 492460180, 452051055, 966865643, ( -1), ( -1), 945319814, 486268200, 774169811, 939639866, ( -1), 91390492, ( -1), ( -1), 125235954, 131260051, 409999578, ( -1), 103429664, ( -1), ( -1), 82517011, 446766411, ( -1), 673405107, 14544100, 814269800, 427224830, 147976329, 350180833, ( -1), ( -1), ( -1), 419836353, 297345290, ( -1), 606375489, 238733936, 390243601, ( -1), 332098089, 323146366, 719430385, 728402916, 220415691, 19801599, 440673064, ( -1), 34916694, ( -1), 409248427, ( -1), 583690644, 201618167, 858604560, 219807040, 211699296, 653697981, 964330779, ( -1), 976857721, ( -1), 805727843, 159368559, 76026056, 132151071, ( -1), 672897758, 669491815, 28692107, 153322893, 955225586, ( -1), 124506319, 956615220, ( -1), ( -1), ( -1), 530955262, ( -1), 731272458, 283664029, 732244638, 165458799, 129765348, ( -1), ( -1), ( -1), 267871428, 952457577, ( -1), 452959123, 531482434, 587612156, 555019139, 550728719, 812085285, ( -1), 119912617, ( -1), 483900429, ( -1), 371695676, 134337567, 229669793, 904763368, 282560627, 156122431, 561212996, 444905954, 976034721, ( -1), ( -1), ( -1), 961827629, 585027087, 797815785, 96817387, ( -1), ( -1), 186083452, 607108920, 89961150, 123388544, 904942809, 263052765, 974676820, 342794454, 586150114, ( -1), ( -1), 378940534, 664590923, 942947750, 87651896, ( -1), 793869061, 87127768, 462677392, 244757919, ( -1), 46686387, ( -1), ( -1), 791559712, ( -1), ( -1), 723131462, 292785064, 291820923, 838223670, 695036800, 824194940, 934625812, 216338844, 284698489, 859292881, 775159808, 358058369, 643011744, 261001590, ( -1), ( -1), 192875993, 460015600, 602956568, ( -1), 305156712, 814973940, 740256908, 342539582, ( -1), ( -1), 129860608, 750447330, ( -1), ( -1), 862597389, 573486066, ( -1), ( -1), 462003503, 460898597, 14450676, 649845097, ( -1), ( -1), 367346943, 229523376, 603951412, 490273709, ( -1), ( -1), 402622298, 302596399, 350479883, 409458110, 987667385, ( -1), ( -1), 976249753, 22758314, ( -1), 688063244, ( -1), 679787970, 689655291, ( -1), 411233017, 966943137, 539289593, 298529758, 950204883, 835584659, 796770477, 669777717, 942984497, 851268368, 79055045, 141923091, 135417156, 434313387, 115678086, 283821415, 398582422, 58391327, 334059942, 984960551, 866333322, 96386711, 8756464, 103264060, 154000727, 28752769, ( -1), 512884488, ( -1), ( -1), 860232474, ( -1), ( -1), 965789759, 174238937, 578002169, 658433796, 436866551, 223660899, 951639522, ( -1), 776999511, ( -1), 776542137, 812037122, 732955606, 139890010, 505171823, 935154832, 245335150, 638378250, 722065971, 420054111, ( -1), ( -1), 941693163, ( -1), ( -1), 368483092, ( -1), ( -1), 136950504, 507640161, 477727401, ( -1), 213957892, ( -1), 915897951, ( -1), 907149427, ( -1), 22687798, 755419197, 324677013, 200709302, ( -1), 63295306, 347500513, 762104195, 501440581, ( -1), 505757574, ( -1), ( -1), 942635776, 847859554, ( -1), 610037153, 16112151, 299124679, 658349756, 291693506, 358762891, 635604701, 522013157, 276394917, 344413839, 169007563, 830631951, 148988308, 597057269, 576714559, 162103758, 128782907, ( -1), 492915628, 448982311, 296959451, 341559130, 703713040, 687250920, 931980629, 489408042, ( -1), 436267858, 680640604, 555533751, 143930131, 849372360, ( -1), 71966298, 998518107, 913739239, 654822197, ( -1), 321850054, ( -1), 832198860, 696849880, ( -1), 682032763, ( -1), 926327212, 472026821, 476106919, 956745690, ( -1), 989266779, 696176720, 435668207, 907321892, ( -1), 183968668, 196904866, 995142801, 62211656, ( -1), ( -1), ( -1), 931606597, 59849959, 632167448, ( -1), 866498759, 437101796, ( -1), 376945083, ( -1), 557279943, ( -1), 778095518, 432215982, ( -1), 259219226, 369722842, ( -1), ( -1), ( -1), 63069921, 936236682, 132621267, 846736667, ( -1), 864850756, 982615856, ( -1), 896252357, 25711670, 681072116, ( -1), 168029343, 425312075, 210609769, 518645265, 241348125, 154054598, 179245938, 88501044, 409489571, 341274326, ( -1), 228183519, 549674072, 873389716, 669615741, 874534760, 679140833, 985171732, 958673629, 90425737, ( -1), 450442940, 377360975, 769384065, ( -1), 983129947, ( -1), 225645310, 411092929, 627587888, 91905820, 993108425, 801278767, ( -1), ( -1), ( -1), 679569644, 935809726, ( -1), ( -1), ( -1), ( -1), 826954684, 611821246, ( -1), ( -1), 150820387, 14616140, ( -1), 546949734, 852259649, 457895328, 625299943, 381181662, 487335140, 868550989, ( -1), 46916954, ( -1), ( -1), 925006023, 480534695, 197108683, 468719315, ( -1), 299591936, ( -1), 452276798, 316948355, ( -1), 981498335, 308212441, 544662430, ( -1), 181152060, 399690804, 697842654, 641369614, ( -1), 393986602, 310823289, 928482314, 406992519, 935687081, ( -1), 963007628, 202556058, 962855620, ( -1), 912146348, ( -1), 818693939, ( -1), ( -1), 175900478, ( -1), ( -1), 258174108, 625774802, 414653490, 30500827, 230091564, 73218290, 737210308, 557991028, ( -1), 888817395, ( -1), 610668908, ( -1), 217727938, ( -1), ( -1), ( -1), 738183191, ( -1), ( -1), ( -1), 433823292, ( -1), 412990529, 488290748, 810206889, ( -1), 492140669, ( -1), 240863935, ( -1), ( -1), 377450861, 435531568, ( -1), ( -1), 223930908, 840720439, ( -1), 554590720, 431437810, 469675799, ( -1), 115558142, 317592935, ( -1), 693210377, ( -1), 54722108, 718908958, 341964402, ( -1), 863881117, 646726066, 313442521, 878598789, ( -1), 799721483, ( -1), 460021601, ( -1), ( -1), 353168105, ( -1), 707881385, 837759527, 963497765, 961291189, ( -1), 630902692, 50122141, 806338244, 785046091, 943341717, 548852555, ( -1), 141253561, ( -1), ( -1), 135049137, 621941609, 606704934, 176893829, 440340780, ( -1), 541270066, ( -1), ( -1), ( -1), 602244408, ( -1), 555145356, 794310275, 946574587, 961998311, ( -1), 735002204, 936521141, ( -1), 224148295, 847123964, 285806349, ( -1), ( -1), 575937106, ( -1), 716274273, 681817106, 667942694, 957078693, ( -1), ( -1), 236006629, 808548395, 912058991, 220867842, ( -1), 860504426, 38144349, 695063826, ( -1), ( -1), ( -1), 218872980, ( -1), 526619780, ( -1), 287196608, 299185574, ( -1), 743474309, 631370571, 538449224, ( -1), 617399150, 6569389, 132262004, 163903153, ( -1), ( -1), 441028681, 711130828, 586338280, 194292399, 923323160, ( -1), ( -1), 750652778, ( -1), 614775610, ( -1), 623382870, 778409869, 422759576, ( -1), 700873514, 168252171, 162138097, 975396858, 583912382, ( -1), ( -1), 29726082, ( -1), ( -1), 655133684, 677313057, ( -1), 698267631, 891326098, 443349206, 987969645, ( -1), 739856207, 949878130, 759096717, 506376300, 305201632, 646448889, 669401094, ( -1), 215927498, ( -1), ( -1), 81958772, 214174068, 12528641, ( -1), 692842546, 649856196, ( -1), 540270948, 667260831, 76104568, 424922153, ( -1), 614065395, 269832296, ( -1), 471509686, ( -1), ( -1), 407402342, ( -1), 896817580, 652817076, 337807247, 46381756, ( -1), ( -1), 869824864, 90440130, ( -1), 507492848, 164335975, 648204666, 743800522, ( -1), 238688938, ( -1), 924454961, 390283126, ( -1), 137073942, ( -1), 145765752, ( -1), 331262916, 799656062, 555516613, 505834151, 67545280, 246625299, 196602130, 815337201, 102720489, ( -1), 490836220, 69953812, 727971870, 604905501, 355402008, 438534187, ( -1), ( -1), ( -1), 20379991, ( -1), ( -1), ( -1), 512765276, ( -1), 169859866, 425781792, 39478919, 808978728, ( -1), 725346547, 37844493, 613572307, 162339908, 392086069, 636187924, 886772381, 784064144, 896053730, 98362068, ( -1), ( -1), 393131368, 141026198, 953243112, 850956772, 767312129, 674875824, ( -1), 423982365, ( -1), 548637685, ( -1), ( -1), 377495185, 879801627, ( -1), ( -1), ( -1), 376613118, 628367504, ( -1), ( -1), 289870332, ( -1), ( -1), 209021265, 690898093, ( -1), 890863096, ( -1), ( -1), ( -1), ( -1), ( -1), 185439399, 90496575, 381140456, 321889496, 480470242, 348111710, 206716141, ( -1), ( -1), 325596855, ( -1), 342192610, 223943935, 244878971, ( -1), 513339203, 554865455, ( -1), 147405629, 778508962, 785365485, ( -1), 942798049, ( -1), 676741554, 558375690, ( -1), ( -1), 135034237, ( -1), 370190742, ( -1), 206340781, 422862333, 965490124, ( -1), ( -1), ( -1), 115494421, ( -1), ( -1), ( -1), ( -1), 800656426, 785105246, 80645201, ( -1), 722188907, 562217454, 39326066, 333918676, ( -1), 403863192, 872601042, 359296673, 497702617, 209842818, 67609378, 665182167, ( -1), 749356410, 102095609, 465323889, ( -1), ( -1), 576373715, 282458188, 115028248, ( -1), 299308706, 314078070, 606407505, ( -1), 910959165, 913718539, ( -1), ( -1), 625028683, 41894384, 165616893, 316292969, ( -1), 710474229, 91962426, ( -1), ( -1), 352017175, 233683409, 703066660, 589709860, 668830673, 393962215, 537550853, 415753419, 405865499, 745324255, 534889899, ( -1), ( -1), ( -1), 266479104, ( -1), ( -1), ( -1), ( -1), 55271123, 115261704, 891703490, 33587609, 796562517, 703010016, ( -1), 535526761, 134028640, ( -1), 941002505, ( -1), 582586672, 302951262, ( -1), 944383947, 330208099, 875195293, ( -1), ( -1), 573574826, ( -1), ( -1), 345560471, 520688896, ( -1), 725020206, 697859064, ( -1), 248706740, 948750506, ( -1), 494271050, ( -1), ( -1), 550674391, 566313046, ( -1), 901291633, 997660345, 459081633, 917076413, ( -1), 896817235, 367983527, 538882087, ( -1), 742335463, ( -1), ( -1), 288617912, 523886964, ( -1), ( -1), 74755199, 395183072, ( -1), 52001610, 780902207, 249401034, 978259482, ( -1), 863245975, 783766702, ( -1), ( -1), 582632382, 521432608, 489180370, 624153302, 679647211, 478068325, ( -1), 69637645, 863386592, ( -1), 615972015, 493211243, 727683929, 879037012, 876962250, 49767931, 288189862, 618968613, 724315380, 992739240, 448588287, 652235351, 583874574, ( -1), 542454209, 814166079, ( -1), ( -1), 290340764, ( -1), ( -1), ( -1), 908746972, 900285774, ( -1), 514596086, 567633183, 504750160, 448257549, ( -1), 515984626, 807835681, 758674702, 465504632, ( -1), 932442942, 411985446, 400590013, ( -1), 82791948, ( -1), 187011339, 847089508, 570103468, ( -1), 509914430, 451423029, 660303058, 851753789, 267944190, 766651131, 895664860, ( -1), 617232259, ( -1), 412840380, 830380722, 21674036, 518529723, 693722437, 520699712, ( -1), 872435906, 629478416, 458957980, 62977893, 485827729, 612791745, 129810834, ( -1), 955116879, 665330665, 69772136, 863385618, 576422343, ( -1), ( -1), ( -1), 62043794, 874667448, 47309278, ( -1), ( -1), ( -1), ( -1), ( -1), 755639151, ( -1), 409065275, 29545889, 582997463, ( -1), 906527116, ( -1), 568873624, 947395145, 369780100, ( -1), ( -1), 962355496, 401147419, ( -1), 655873636, ( -1), ( -1), 807358631, ( -1), 489525818, 931107010, ( -1), ( -1), 214776040, 965403349, 946111061, 774759483, 799688369, ( -1), 963716522, ( -1), ( -1), ( -1), 115788011, 209926240, 886674515, ( -1), 96387221, 628513106, ( -1), 783236881, 651565469, ( -1), 165942244, ( -1), 896188766, 974635557, 69832510, 668397938, 406374, 126167358, 32122984, 466068578, ( -1), ( -1), 170173030, 815990321, ( -1), ( -1), 385619776, ( -1), 156612925, 568267569, 67641337, ( -1), 41685981, ( -1), 752697731, 581149884, 307893249, 331346326, 904667608, ( -1), 291678628, ( -1), ( -1), ( -1), 614884851, 227176572, 115920288, 479168675, 978688868, 997252673, 931778619, ( -1), 10738461, 584943256, ( -1), 169877667, 575193749, ( -1), ( -1), ( -1), ( -1), 150642211, 246684665, 593539206, ( -1), 45177390, 166858312, 662852736, 122779551, 211358048, ( -1), 351881298, ( -1), 55847607, 449049257, 156879718, ( -1), 128386553, 371735176, 648968973, 826698502, 249073375, 980751733, 392097145, 642244450, 708976185, 277980722, 957939392, ( -1), 478410202, ( -1), ( -1), ( -1), 551424894, 126670513, ( -1), 594641678, ( -1), 847129248, 471138685, ( -1), 402216080, 314856273, 726610462, 592498832, ( -1), 804106572, 930168881, 282203839, ( -1), 763359282, ( -1), 498733751, ( -1), 328590830, 25351271, ( -1), ( -1), ( -1), 200886942, ( -1), 214130860, ( -1), 392488632, 593441182, 413433260, 213225016, ( -1), 935701335, 602000655, 550057788, 286749238, 536211206, 888649110, 394022726, 646543400, ( -1), 755871547, 395794742, 329199242, 240789234, ( -1), 980851476, 892282954, ( -1), 290261643, ( -1), 525542593, 266574619, 424094198, ( -1), ( -1), 43936048, 293823569, 779830206, ( -1), ( -1), ( -1), 778534405, 241555463, 351010167, ( -1), ( -1), 850423350, 858246322, ( -1), ( -1), 723355172, 696860260, ( -1), 191982329, ( -1), 927835737, ( -1), 596343051, ( -1), ( -1), 694671300, 441472571, 647898453, 325251523, 217033871, ( -1), 691129000, 511008883, ( -1), 697537189, 731577126, ( -1), ( -1), 837344829, 624542221, ( -1), ( -1), 978034476, ( -1), 889812755, 105852784, 213647858, 456043904, 732439699, 724205069, 355475047, ( -1), 859650265, 761319117, 60796914, 38432511, ( -1), ( -1), ( -1), 645379239, ( -1), ( -1), 831432388, 668043549, 352527874, 584532341, ( -1), ( -1), 485657626, ( -1), 409810143, 406937554, ( -1), 570324705, 314100633, ( -1), 541540044, 55842247, 997842736, 980168829, 648277901, 49631041, 38077433, 625431901, 3984080, 143525752, 169914298, 392856718, ( -1), 698977396, 300432582, 417317474, 844244608, ( -1), 577904472, 682329649, ( -1), 740232774, 801921531, ( -1), ( -1), 854522812, 626661383, 398182822, 454676998, 721886219, 715644791, ( -1), ( -1), ( -1), 738402542, 828021305, 417468107, 481629196, 64217168, ( -1), 71279352, 698446999, ( -1), 449969634, 572679791, ( -1), ( -1), 513311061, 571085514, 119217783, 173112434, 637847737, 65445520, ( -1), 166683512, 956186074, ( -1), ( -1), ( -1), 572690083, 961479287, 877578400, ( -1), 183160842, 391284462, 886302002, 412274883, 437918010, 5630323, 559218516, 704977933, 369250421, 22769335, 221090043, ( -1), ( -1), 367999542, 165632310, 575855261, 517801632, 22734165, ( -1), 632665353, 482249662, 531447638, ( -1), ( -1), 337782494, 645142216, ( -1), 560956570, 771268484, 832111484, ( -1), ( -1), 457801992, ( -1), 619660534, ( -1), 298180609, 820796224, 642288473, ( -1), 398159248, ( -1), ( -1), 191189758, 752610215, 594641599, 355547488, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 377493311, ( -1), 958590771, 606800127, 215039319, 710744681, 824578369, 75013107, ( -1), 40190855, 978516291, 531212422, 875235671, ( -1), 249597924, ( -1), 647842724, ( -1), ( -1), ( -1), 983643280, ( -1), ( -1), 335175453, 106706690, 22395540, ( -1), ( -1), 440573456, 889536660, 247551134, ( -1), 368669588, 375081580, 233667011, ( -1), ( -1), 807389602, 327837640, 583161670, 605012961, 983512961, ( -1), 623235549, 681287549, 667645664, ( -1), ( -1), 202886265, ( -1), 118132230, ( -1), 256298405, ( -1), 49088228, 17276220, ( -1), 540136440, ( -1), 189518425, ( -1), 75957257, 167077019, 701902599, 805164352, ( -1), 290909232, 520304923, ( -1), 726283233, 155680788, ( -1), ( -1), 623885562, 20321917, 238199708, ( -1), ( -1), ( -1), 159042150, 854265491, ( -1), ( -1), ( -1), ( -1), 649669501, ( -1), 50974759, 507175497, 109702167, 44936084, 545617937, 319701343, ( -1), ( -1), 601890111, ( -1), 674379199, 17698045, ( -1), ( -1), 516437772, ( -1), ( -1), 840414222, ( -1), 10446329, 986875299, 115976764, 480294427, 798840083, 679003051, 992416528, 135372623, 820431456, 792608612, 769746556, 874918591, 740226005, 683142052, 92880084, 199279385, 125454774, ( -1), 899969206, ( -1), ( -1), 127743546, ( -1), 606551420, 493204243, ( -1), 580549810, 149958078, ( -1), ( -1), 255507881, 425496035, ( -1), ( -1), ( -1), 232714914, 137922224, ( -1), ( -1), 368388174, 239001042, 187084211, ( -1), ( -1), 590124938, 550164040, 692202468, ( -1), 40872029, 655952432, 409092799, ( -1), ( -1), ( -1), 592623869, 722047567, ( -1), 7755564, 315363890, 997583078, 104770471, ( -1), ( -1), 182498281, ( -1), 116164249, 591419066, 768452160, 218417658, 796143782, 695148784, 640953560, 216866943, ( -1), ( -1), ( -1), 485075303, 53907584, ( -1), 463584631, 923472668, ( -1), 162509777, 478776763, ( -1), 836599708, ( -1), 1152525, 440768136, ( -1), ( -1), 439643326, 213968076, ( -1), 176050885, 961434486, 974458760, ( -1), 746407197, ( -1), 164844369, ( -1), ( -1), ( -1), 839983349, 643328155, 286095821, ( -1), ( -1), ( -1), ( -1), ( -1), 716404623, 180923936, 929938046, 816415052, ( -1), 52527140, 358622192, 248381127, ( -1), ( -1), 814266046, 514427995, ( -1), 747955741, 455676366, 158491757, 632342098, 781245235, 739701204, ( -1), 86364591, 978735068, 336804701, 770134251, 246920051, 244065027, 897108560, ( -1), 195065501, 776168707, 869643362, 571028443, 643851838, 65335709, 421848564, ( -1), 498364485, ( -1), 557044958, 820133356, ( -1), 798575269, 353358501, 703951500, ( -1), 771748183, 881175838, ( -1), 624830798, 176235151, 591616692, 932686208, ( -1), ( -1), 341084608, ( -1), ( -1), 386401657, 656446273, ( -1), ( -1), 517984166, ( -1), ( -1), ( -1), 919764917, 458942667, ( -1), ( -1), 826056954, 259187824, ( -1), ( -1), ( -1), 593300127, 672290824, 448032019, 958023668, ( -1), ( -1), ( -1), ( -1), 77924415, ( -1), ( -1), 103513346, 517104160, ( -1), 929929214, 262338233, 384037563, ( -1), 485389895, 19046865, 362749066, 909914762, ( -1), ( -1), 639316109, ( -1), 526578399, ( -1), 297987051, 637935698, 479481405, ( -1), 583688155, 424133555, ( -1), ( -1), ( -1), 845746747, ( -1), 3671378, 830145583, 999542722, 719036145, 894592465, 541853219, 980876752, 497514503, 489046789, 255649125, 52528138, 971999057, 680076555, 79980375, 226968260, ( -1), 939771197, 58369549, ( -1), ( -1), 261213625, 210227757, 46361868, 410365481, 4826495, 674659901, 553093725, 539108088, 21118189, 213785570, 91694428, ( -1), 279576609, 972255625, 539661215, 406519067, 667268564, 370855605, 782941273, 992393062, ( -1), 349184373, ( -1), 829341377, 812458862, ( -1), ( -1), 420520275, ( -1), 606652287, 578326351, 504394198, 787946450, 696248035, 34564769, 915619896, ( -1), 457951311, ( -1), 313877821, 564045799, 798945006, 21656143, ( -1), ( -1), 67190327, ( -1), 113841559, ( -1), ( -1), 27636209, 267965288, 481601660, ( -1), 690328890, ( -1), 858473126, 593095206, ( -1), ( -1), 946569027, ( -1), 191606680, 801724472, ( -1), ( -1), 281717559, ( -1), 123297532, 475215299, 919732265, ( -1), 632202077, 334687151, 205923700, 252077338, ( -1), ( -1), 765592488, ( -1), 963117305, 187192845, 914352571, ( -1), 453025025, 474052908, 430411119, 888228715, 97680740, 337944385, 581578193, ( -1), 243484711, 293672040, 289867850, 154859796, 849775479, 266383932, 138712205, 82912933, ( -1), ( -1), 544372382, 326969376, 893320978, 973394123, ( -1), ( -1), 143067237, 598456317, ( -1), 864735867, 69548724, 17511166, 729648781, 706566362, 854015362, 648524443, 743285351, 301071243, 756542879, 709836150, 263603820, 297030337, 105986956, ( -1), 548070987, ( -1), 70597768, 979600172, 100256722, ( -1), 260969148, 763056493, 467817093, ( -1), ( -1), 355303347, 4924691, 569167524, 800304005, ( -1), 12551708, 203214670, 152881786, 11747887, ( -1), 210869199, 369634381, ( -1), 340023750, ( -1), ( -1), 921840784, ( -1), ( -1), ( -1), 321242730, 491861285, ( -1), ( -1), 487574771, ( -1), 578915354, ( -1), ( -1), 480731858, ( -1), 971720246, ( -1), 320560261, 456257125, 185068771, 338963727, ( -1), 980430490, 977697565, 465850910, 595274308, ( -1), 232543976, 964157636, ( -1), 740180504, 153149388, ( -1), 411128260, 743856958, 2529426, 598099161, ( -1), 735915892, 485277839, 397326316, 34209385, ( -1), 69324318, 788535342, 635648689, 462014497, ( -1), 998311189, 309771696, ( -1), 284464839, ( -1), 418176945, ( -1), ( -1), 650457861, 4785195, 231670575, ( -1), 164795897, 496024909, ( -1), ( -1), 512064474, ( -1), 812864058, 511999651, 859338061, ( -1), 419276642, 35006139, ( -1), 767456384, 876668779, 632124775, 536414606, 291281737, 135968565, ( -1), 401769725, ( -1), 800726322, ( -1), 961994170, 590299724, 813199361, 86323261, 400100378, 769170301, 444778738, ( -1), 721735323, 987237551, 461739424, 587770500, 913969504, 930534032, ( -1), 363630546, 5329407, 358131785, ( -1), 369487087, 382892348, 730703378, ( -1), 496573839, ( -1), 329376229, 957053265, ( -1), 516451591, ( -1), 66486305, 424600845, ( -1), 837492503, ( -1), ( -1), ( -1), 901938824, ( -1), ( -1), 232602246, 713463718, ( -1), 347178899, ( -1), 936245071, 542739624, ( -1), ( -1), 832987407, 822651210, 200760448, 97504528, 603705945, 310696117, 293205089, ( -1), 788774417, 962155378, 25665316, 438207176, 461059147, 459631020, 414568468, 291060452, 779927424, 149044942, 389229357, ( -1), 95655935, 97661436, 11401466, 311228682, 582818998, ( -1), 914536468, 710408964, 665617796, ( -1), 796413889, ( -1), ( -1), ( -1), ( -1), ( -1), 222053112, 56191021, 657337061, 155170647, ( -1), 555888776, ( -1), 349919451, ( -1), ( -1), ( -1), 846648291, 527203147, 171502391, ( -1), ( -1), ( -1), 981994849, 648635872, 774377082, 758935422, ( -1), ( -1), 717287472, 80962191, 148870766, ( -1), 957922494, 933154587, 691920930, ( -1), 526303033, 155370184, 643672297, 816656364, 361721220, 416660374, ( -1), 537209748, 277521245, 387543759, ( -1), 618780357, ( -1), 858443741, ( -1), ( -1), 941586586, 984086790, 500040635, 121626474, 943803925, 494372832, 606553600, 643186710, 358496744, 537393109, 53642620, 830169059, 413181311, 265292898, 13737213, 876940593, ( -1), ( -1), 606219420, 994491733, 342153864, 878995122, ( -1), ( -1), 583558285, 395817256, 389015259, 69903445, 482495224, 61817310, 412010481, 87827161, 632095631, ( -1), 906201443, 98894816, 805104199, 369425429, ( -1), 411976577, 935296675, ( -1), 325663604, ( -1), 856809646, ( -1), ( -1), 152301639, 339063026, ( -1), 817816002, ( -1), 432417735, 814552682, 919222614, ( -1), ( -1), 769822359, ( -1), ( -1), 151125735, 798705182, 259290996, ( -1), 487485373, 271381842, ( -1), 924135635, 14676317, 368330197, 530733709, 33252059, ( -1), ( -1), 697742967, 966035202, 233919543, ( -1), 900535532, ( -1), 888700006, 163077949, 98239433, ( -1), 161641208, 931573619, 812590943, 152014989, 136003177, 300192124, 201978939, 58646120, ( -1), ( -1), ( -1), 417992739, 934821972, 633103260, 356769451, ( -1), ( -1), ( -1), 626214793, 347857121, 723414711, 612686342, 181949301, 164197361, ( -1), 665750813, 768155847, 394190227, 519850214, 302817270, 285879128, 329674479, ( -1), 338633884, ( -1), 114758059, 752469275, 868448541, 187794746, 288041040, 158780411, ( -1), ( -1), 421585894, 177651480, 642006976, ( -1), 344487715, 577596757, 55209536, 75005063, 555856688, 925745188, ( -1), ( -1), 908150349, 334484019, ( -1), 548714228, 232652346, 90644776, 918786526, 968304942, 896151933, 510624432, 141186676, ( -1), ( -1), ( -1), ( -1), 245546965, 102634946, ( -1), 976794384, 708897561, ( -1), 189274338, 65228509, 902704813, ( -1), ( -1), 783898538, ( -1), 592447739, ( -1), 46063220, ( -1), 203080225, ( -1), 918801641, 889454583, 576811591, 876109400, 588639128, 589334838, 845594041, ( -1), 520457608, 573965895, 154704735, ( -1), 680669038, ( -1), 84812937, 574894771, 871288992, 204994042, ( -1), 592524903, ( -1), 784181062, 978079907, 400371539, ( -1), ( -1), ( -1), 15369797, ( -1), 709093618, 88682284, ( -1), 608282852, 730991243, 403490010, 705798124, 688092175, 359979962, 862473925, 967624762, ( -1), 877382349, 855032509, 269180221, 19022802, 169819747, 216689041, 293051602, 332335505, 720663688, 686331683, ( -1), ( -1), 101399294, ( -1), 847081642, 824020807, ( -1), ( -1), 667176673, 807925629, 558195193, 938769168, 592366655, 170575215, ( -1), ( -1), 787758285, 510532373, 799212980, 42276858, 876420177, 613048030, 824636474, 462791196, ( -1), 402009756, 648688805, 930688928, ( -1), ( -1), 970182669, ( -1), 906225001, ( -1), 919547453, ( -1), ( -1), ( -1), 9910181, 912220225, 929923950, 795599735, 779625367, 501620216, 222349055, 864750954, 902724767, 468569065, 108699091, 958225308, 435179319, ( -1), ( -1), 247502455, 445304920, ( -1), 318383669, 778065085, ( -1), 400408465, 80234484, 536957304, 156840584, ( -1), 271748590, 904406256, 272151835, 70834293, 493945368, ( -1), 310940844, 328754903, 712374652, 403982669, ( -1), 213892006, ( -1), 475152941, 39217140, 220517805, ( -1), 527582517, 581004440, 939121443, ( -1), 457415793, ( -1), ( -1), 542920749, 679266623, 17107221, ( -1), ( -1), 148098300, 304438434, 264481040, ( -1), 6544073, 822222684, 367759970, ( -1), 677727550, 895876892, ( -1), 268703600, 471508320, ( -1), ( -1), 948862871, 552679655, 222114757, ( -1), ( -1), ( -1), 671267544, 895788946, 231346502, ( -1), 379088855, ( -1), 950666240, ( -1), 918700710, 155360105, 935693287, ( -1), ( -1), ( -1), 228842115, 79276932, 497065951, 467029472, 677544661, 412393365, 381159147, 233569204, ( -1), ( -1), 513280773, 588461658, 606528145, 790189768, 848116902, ( -1), 768061219, 381921643, 365818046, ( -1), 684877212, ( -1), ( -1), ( -1), 762042432, 986771134, 236439998, ( -1), 895109436, 516163140, 323270274, 291385271, 832484529, 870604626, ( -1), 7569055, 399694719, 596704714, 959583161, 86392125, 656095723, 505182837, 781947063, 114979292, 437654562, 953551611, ( -1), ( -1), 762220550, ( -1), 429764145, 598093445, 869505900, 770514738, 654750927, 475243409, ( -1), 914716049, 674758963, 999959503, ( -1), 144563309, 808938760, 704300217, 889911184, ( -1), 570360804, 366236124, 237880315, 887645550, 802038012, 820169436, 533917451, 522335254, 127825665, ( -1), ( -1), 295516144, 69765971, 688346703, 196132091, ( -1), 517786627, 815932062, 238304500, 373300975, 504482477, 223520561, ( -1), 431053828, 550951189, 518531858, ( -1), 200166182, 796598628, ( -1), 190305674, ( -1), 881218791, 353589528, ( -1), 62295487, ( -1), 565561570, 840304016, ( -1), 16619156, 81913788, ( -1), 751133541, 692409497, 660423219, ( -1), 765654396, 612793130, ( -1), 964123115, 350015424, 104524966, 130613199, 671853989, 822543679, 249095478, 1980798, 745435549, 320237880, 976688672, 678509189, 875177984, 898702622, ( -1), 67791369, 608820925, 954209782, 467880424, 176427891, 124792351, 357644014, ( -1), 103397105, 1110344, 359512844, 250495573, 438217136, ( -1), 5999458, 737535031, 153663683, 425932254, 173971939, ( -1), 392091945, 762682037, 387588958, 500887154, 605319883, 833420713, 990789389, 402051117, ( -1), 980897712, 19577155, 416624173, ( -1), 316025557, 615786890, 337754391, 625595954, ( -1), ( -1), 850846188, ( -1), 614988047, ( -1), 962846135, ( -1), 348013296, 271904058, 884265924, 885467624, 152878380, 626160255, 892205789, 256469747, 709981601, ( -1), ( -1), 538387226, 657642454, 727415892, 805810694, 72072474, 190685048, ( -1), 457868104, 900428169, 545514418, ( -1), ( -1), 168639802, 979160911, ( -1), ( -1), 456444034, 36855978, 448661317, 957124677, 30447182, ( -1), 138581871, ( -1), 290506411, 211966848, ( -1), 430279226, ( -1), ( -1), ( -1), 536598074, 412659204, 462382343, 436048480, 12384328, 289487371, 941598650, ( -1), 104948711, 762455995, ( -1), 110264854, ( -1), 111455111, ( -1), ( -1), 646369572, 588143358, 727187020, ( -1), 816043667, 698059003, ( -1), 288931725, ( -1), ( -1), 875656921, 498605813, 513992840, ( -1), 875961069, 682995390, 353086902, 38138945, 547852267, 835684912, 951122685, 936542731, ( -1), 177421338, ( -1), 483106116, 494930583, 139248372, 974545052, ( -1), 274488204, ( -1), 276937462, ( -1), 913700403, 607230408, 987035503, 345146145, ( -1), 160197974, 541902916, 778122645, ( -1), 881378397, 522299066, 366714685, ( -1), 444922173, ( -1), 216254941, 343697218, 626289530, 435263112, ( -1), ( -1), 231913787, 621363187, 861600607, 402126817, 996431534, 76324132, 343854128, 236624236, ( -1), 416148568, 286487557, ( -1), ( -1), 315923998, 784346040, ( -1), 273246467, 111824144, ( -1), 197857146, 537315412, ( -1), ( -1), ( -1), 576826566, ( -1), ( -1), 861466614, 271227720, ( -1), ( -1), ( -1), 586908860, 283723960, ( -1), 890178042, 987356036, 878711174, ( -1), 526261008, ( -1), ( -1), 261829567, ( -1), 144038676, 648480096, 542809753, 538343449, 36757219, 392411114, ( -1), 467890844, 747982663, 653263551, 469720200, 488742147, 794561306, ( -1), 320166587, 293756922, 52827399, 819729206, 12182822, 14196364, 168559736, 322473732, 535327552, ( -1), 521444875, ( -1), 170669354, 828040498, 733711848, 941299153, 983745786, 432544160, 590843597, ( -1), 72916302, 920468588, 890626000, 335007419, ( -1), ( -1), 829011641, 865002794, ( -1), ( -1), 551380748, ( -1), 209472356, 188124546, 485410041, 213868799, ( -1), ( -1), ( -1), 200610862, 190053360, 818613214, ( -1), 319366741, ( -1), 655994717, ( -1), 592247098, 977951790, ( -1), 797813954, ( -1), ( -1), ( -1), 863461744, 991082309, 217993920, 273968876, 49862175, ( -1), 703307873, 409517805, 864664345, 954430176, 245835465, ( -1), ( -1), 499001866, 224253407, ( -1), 633322430, 277922764, 505754971, 950451967, ( -1), ( -1), 593602945, 691371943, 695566827, 863358958, 567246768, 557693248, ( -1), 862093247, ( -1), ( -1), ( -1), ( -1), 103579670, ( -1), 433710894, 124771497, 894640548, 572730003, 511219112, 776937289, 46451530, ( -1), 368640355, 480778152, 88586945, 943933924, 887055144, 86934809, 39688448, ( -1), 146502881, 819191969, 358176964, ( -1), 353781622, 516148789, 200772840, ( -1), 198922799, 933632002, 473804973, 747689688, ( -1), 340207615, ( -1), 608979201, ( -1), 695289911, 60568666, ( -1), ( -1), ( -1), 177533286, ( -1), 773375916, 656288577, ( -1), 161385763, 586918416, ( -1), 809201670, ( -1), 794212563, 345675832, 567341837, ( -1), 878417660, 759042124, 230067599, 779471224, ( -1), 198002316, 356029194, ( -1), ( -1), ( -1), 633612471, 107567486, 262443878, 713472327, 809359241, 102091023, 913414186, 825030733, 700718192, ( -1), 131785876, ( -1), 177390350, 641768174, 831984328, 553807665, 924072261, 962717276, 602508363, 444769264, ( -1), 935738622, 879346263, 509207664, 263768652, 9015526, ( -1), 651204947, ( -1), 440531283, ( -1), 716544051, 215200687, 455438784, ( -1), 305071097, 642119447, 313369837, ( -1), 711113002, 359860711, 728793145, 855305202, 342056386, 277875025, 33406525, ( -1), 663649136, 819747285, 437228537, 359995542, ( -1), 409177057, ( -1), ( -1), 830261194, ( -1), ( -1), 645162794, ( -1), 401702154, 708847169, 213909180, 824502195, 93512868, 479340089, ( -1), 737621065, ( -1), 474515549, 915962483, ( -1), 988935849, 932342544, ( -1), 270303142, ( -1), 35731623, 847645579, 230440103, 213864900, ( -1), 276276919, ( -1), ( -1), ( -1), 553285839, 272222338, 599762615, 904616828, 430050230, ( -1), ( -1), 831072831, 813902986, ( -1), ( -1), ( -1), 984876727, 708801883, 798766949, 925756182, ( -1), ( -1), 928858799, 132575885, 192895404, 643385674, 231207453, 264328484, 387675044, 826973219, 479895293, 560735523, ( -1), 943217926, 202778912, ( -1), ( -1), 833538803, 750637077, 698069651, 929072951, ( -1), 253062236, 975261246, ( -1), 48208155, ( -1), 997635245, 24710172, ( -1), 409822840, ( -1), 327128716, 504963338, 741549571, 123465881, 439658798, 39094687, 915318264, 183407879, ( -1), 550670115, 731158400, 176953335, 980653112, 504385294, ( -1), 436718044, ( -1), ( -1), 672761284, 663318136, ( -1), ( -1), 779380111, 939725106, 641953089, 16848772, ( -1), 985850608, 502768955, 752338464, 394878374, 401965475, 357354566, 883822364, ( -1), 230278641, ( -1), ( -1), 930294658, 760393934, 608454599, ( -1), 354455153, 913818416, 154983579, 830448642, 166213311, 331222109, 611440134, ( -1), 326398057, 124579312, 895995819, 84923190, 67237764, ( -1), ( -1), 637037687, 742503479, ( -1), 469642936, ( -1), ( -1), 201658315, 736655470, ( -1), 360322568, 709612455, 205054064, ( -1), 244766986, ( -1), ( -1), ( -1), ( -1), ( -1), 313286357, 998624706, 735320893, 248119572, 548006094, 22390526, 180754398, ( -1), ( -1), 934272569, ( -1), ( -1), 854268540, 453415991, ( -1), 141932358, 785931121, ( -1), 399483405, 239966919, ( -1), 21841060, 185951506, ( -1), 78680096, ( -1), 976821935, 102977962, 745487541, 93014774, ( -1), 391844021, ( -1), 412536174, 346078650, ( -1), 373836282, ( -1), ( -1), 151417254, 637511743, ( -1), 527635461, 706051036, ( -1), 258008310, 896499876, ( -1), 244307649, ( -1), 747547822, 151756361, 839002328, ( -1), ( -1), ( -1), ( -1), 243555825, ( -1), 539209380, 266519995, 799416318, 403046246, 834706689, 911722801, 420801399, 75563816, 938567000, ( -1), 270175232, ( -1), 738561308, 300660359, 749027559, 287123140, ( -1), 571926791, 432372421, 414217403, 714119462, 529951718, 567950898, 961189774, 434952049, 436159538, ( -1), ( -1), ( -1), 587630218, 393429347, ( -1), 816153802, 301839417, ( -1), 61837100, ( -1), 784517557, 265760393, 44960006, 581332336, 203957978, 877048767, ( -1), 242169692, 488877690, 384257978, 619334295, 166604096, 982121432, 272881016, ( -1), 978617851, 363021301, 41307519, 628269267, ( -1), 875552386, ( -1), 504668198, ( -1), 303018687, ( -1), 118649790, 966612062, 952489286, 123272138, ( -1), ( -1), 423495807, 451897148, 521716475, 847168860, 983808764, 665112001, ( -1), 799273588, 528336016, ( -1), ( -1), 981232142, ( -1), ( -1), 643574842, 637852461, 312020633, 717974283, ( -1), 189735193, 795009027, 876581603, ( -1), 789116964, 504711047, 671331268, 937409254, 476652550, 989420510, 718140258, 207443153, 139004388, ( -1), 514672005, 499896471, ( -1), ( -1), ( -1), 452934479, 785910949, ( -1), 293577159, 489555597, 770167575, ( -1), 390884875, 769696709, 713412159, 263094785, 76702244, ( -1), 164059739, 373950434, ( -1), 270130421, 202811527, 749906888, 728119410, 505097288, 782209665, 225161400, 11517333, 810965746, 72088021, ( -1), 987784414, 650868327, 426004877, 630917516, 10276560, 871591148, 183131148, 305543430, ( -1), 125206324, 741756775, 920476570, ( -1), 466013390, 830782261, ( -1), 91344163, 823960122, ( -1), ( -1), 643956806, 110229522, 733207022, 529617348, 960746829, 26570816, 634751851, 596903157, ( -1), 642997969, ( -1), 952160911, ( -1), ( -1), ( -1), 760296932, 725755950, 142255819, ( -1), ( -1), 948906381, 272359378, 569122360, 238131962, ( -1), 358230838, 522174332, ( -1), 90361634, ( -1), 276075942, ( -1), 500519772, 564884752, ( -1), 321870976, 127323286, 421397338, 379380434, 182001145, 110902279, 57384680, 566274189, ( -1), 70752436, 955386207, ( -1), 442216455, 493079255, 306988509, ( -1), 19977752, 336260415, ( -1), ( -1), 978873903, ( -1), ( -1), 324526590, 125863928, ( -1), 393360460, 957895007, ( -1), 433206991, 776718899, 789314239, ( -1), 640667724, ( -1), ( -1), ( -1), ( -1), 880555984, 877172317, 673884087, 625361280, ( -1), ( -1), ( -1), 790622530, 805440395, 773987576, 758447160, ( -1), 825295147, 242875550, 366568452, 518173052, 974274737, 291731455, 922015407, 732452456, ( -1), ( -1), 510856358, 382122310, 934260566, 945507529, 798230863, 778960723, 335937705, 578592083, 375343434, 169691964, 330975608, 452622278, ( -1), 412203392, 766523218, 958946217, ( -1), 108734827, 290390551, 293083104, 994971262, 63788691, ( -1), 414809423, 557225582, ( -1), ( -1), ( -1), 524229713, 652744152, 832603905, 901274775, 374181492, ( -1), ( -1), 421305069, ( -1), 390968469, 286792041, ( -1), 371403647, 197494178, ( -1), 798019672, 756792254, ( -1), 716206769, 462822237, 851289576, ( -1), 680106027, 945647976, 936849197, 975653477, 362248389, 443175315, ( -1), 129071418, 440812225, 601541996, ( -1), ( -1), 913329575, 468719262, 906930513, ( -1), 500540878, 647423831, 908344899, 10293133, 165509062, ( -1), 866595539, ( -1), 571430300, 277244103, 246600202, 332744937, 698107485, 579630139, 413190887, 275054226, 609601813, ( -1), 518188716, ( -1), 951324974, 747470088, 940481778, 208307882, 253564757, ( -1), ( -1), 376214594, ( -1), 663560880, 852618766, 115664227, 908350051, ( -1), 581251471, ( -1), 317268535, 771974146, 772958585, 49859097, 797316183, ( -1), ( -1), 280882568, 100086586, 753216237, ( -1), ( -1), 353730649, ( -1), 598165289, 582407528, 936556497, 837947385, ( -1), 553213224, 105228913, 197480677, ( -1), ( -1), 121431794, ( -1), ( -1), ( -1), ( -1), 34584165, 123856906, 444040968, 260812181, ( -1), ( -1), ( -1), 530923539, 202980240, 782654923, 489459218, ( -1), 477347882, ( -1), 65360141, 888348087, 697246669, 565715958, ( -1), 417601210, ( -1), 346830993, 829493374, ( -1), 667703886, 575020849, 230485110, ( -1), ( -1), ( -1), 864666477, ( -1), 687972851, 268399942, 558447243, ( -1), ( -1), 757425124, ( -1), 494192574, 216445945, 875960823, 320771451, 581235180, ( -1), ( -1), ( -1), 606265936, 945631623, 322648485, 521623723, 584590249, 19549729, 656775055, 225623444, 490299107, 9679274, 213367270, 755498374, 684898165, 985286624, ( -1), 199461604, 606102510, 685684262, 566295544, ( -1), ( -1), 316693787, 378994257, 733331184, 991984390, 657625448, 218895689, 757025528, ( -1), 961794315, 910332840, 847853847, 889287702, ( -1), 694411994, 96110143, 944832169, 989666438, 77038921, 359759657, 463466930, 106380362, ( -1), 905997191, 943861961, 595368727, 485506137, 104482613, ( -1), 976251733, ( -1), 898559212, ( -1), 372556134, 87812834, 745074172, 156092049, 836333493, ( -1), 766997114, 90617135, 552373407, 725449523, ( -1), ( -1), 52035359, 404480502, ( -1), 736717278, ( -1), 363080735, 763549764, 69268395, 965282458, 254224198, ( -1), 409346957, 921841197, 905104150, ( -1), 241252713, 404139547, 956377455, 704906760, 555905199, 86611051, 854416256, ( -1), ( -1), 691907082, ( -1), ( -1), 910390020, ( -1), 864392985, 225386761, ( -1), ( -1), ( -1), ( -1), 981232921, ( -1), 479658414, 987943360, 379618615, 964266906, ( -1), 220535900, 64849968, ( -1), 536287019, 510384180, 431902250, 203616423, 485115545, 366794339, 346414484, 697779277, 856685151, 469878107, ( -1), 610169327, 334277299, 438787438, 475418631, 588128014, 896100301, ( -1), 175539713, 109980776, 485523142, ( -1), 70922487, 710351015, 104497641, 441926358, ( -1), ( -1), ( -1), ( -1), 900391605, 717922138, 504459122, 798045176, ( -1), 657594034, 238452377, 105649017, ( -1), 386131465, ( -1), ( -1), 273016293, 155414057, 599126715, 276739108, 536928938, 755664826, ( -1), 97178796, ( -1), ( -1), ( -1), 490803732, 716187799, ( -1), ( -1), 801763867, ( -1), ( -1), 7906354, ( -1), 516754390, 454138364, ( -1), 874636972, ( -1), 191915188, 993434246, 883759168, 724097001, 527693422, ( -1), ( -1), 325145552, 36818365, 377480235, ( -1), ( -1), 30201300, 883319178, 346759812, 563929901, 144909979, ( -1), 152306403, 972462497, 114678997, 389192197, 710620464, ( -1), 833708494, ( -1), 873301240, 66791077, 156320863, 787366177, 628175727, 355850558, 268783140, ( -1), 657979006, ( -1), ( -1), 173981782, 925421537, 926104275, ( -1), 521249511, ( -1), 57437886, ( -1), 412980619, 874206920, ( -1), 677185545, ( -1), 998718643, 50349548, 485820992, ( -1), 748149901, 489659807, 186574786, ( -1), 493347568, 435915140, 575259986, ( -1), 836532953, 154240582, ( -1), 446260467, ( -1), 419957328, ( -1), 260224810, ( -1), 968770576, 399247511, 891967459, 134003705, 935705355, ( -1), 517381996, 335737209, 670829246, ( -1), 838506443, ( -1), ( -1), 604281640, 35199357, ( -1), 352057410, 908339253, 985829128, 332512835, ( -1), 4245904, 317666761, 933570528, 2248086, 341189455, ( -1), 698663614, 522041436, 60895584, ( -1), 642598893, 101959463, ( -1), ( -1), 454486407, 759077860, 693805981, 618696331, 978901632, 879054317, ( -1), 165344681, 183779099, 864262562, ( -1), 581066231, ( -1), 488644912, 191151792, 387694400, 584256795, 822071043, 647455779, 928507938, 444179569, 860309852, ( -1), 537455482, 394257758, ( -1), 716378222, ( -1), 906905208, 148232692, ( -1), 507860965, 818554501, ( -1), 186341836, 468179603, ( -1), ( -1), ( -1), 9775857, 270460135, ( -1), 932254872, 148626004, 109909737, 66702526, 15638616, 716662873, 847158405, 334360869, 588401079, 571779425, ( -1), ( -1), 413116252, 108279878, 273997434, ( -1), ( -1), 554125652, 398136865, 402914596, 448515681, 769552312, ( -1), ( -1), 634786754, ( -1), 835964886, ( -1), ( -1), 263318826, ( -1), 366279320, 463971732, 580608242, 26400290, 317825699, 46700447, 924498626, ( -1), ( -1), 152294823, 62266689, 253259239, 343859960, 904607915, 635941220, 530402019, ( -1), ( -1), 146370217, 894229802, 613016795, 534766176, 348918501, 947537429, ( -1), 500023408, ( -1), 766623112, ( -1), 542333982, 927908641, ( -1), 27755534, 456192968, 404257581, 721079712, ( -1), ( -1), ( -1), 789874512, 143934292, 420443354, 251672510, ( -1), 211503911, ( -1), 690530663, ( -1), ( -1), 151755653, 801744059, 357178734, 6738604, 561600728, 797711814, ( -1), ( -1), ( -1), 520420310, 423317070, 582069016, 602803094, 909022104, ( -1), 859215038, 902550062, 79019288, ( -1), 131745557, 7008651, 31652823, 935234538, 201137670, ( -1), ( -1), 404875738, 779647829, 445497457, ( -1), 237102899, 882532212, 32359312, 364426335, 666776925, 800566797, ( -1), ( -1), 816652816, 256614225, 674654108, 538710215, 530613051, 186752098, ( -1), ( -1), 709335144, 337578023, 580673777, ( -1), ( -1), 368715271, 609295757, ( -1), ( -1), ( -1), 863274657, 772649188, 641803894, ( -1), ( -1), 21778516, ( -1), 152815744, 550349745, 478367691, 496513783, 685899601, 441620801, 840834498, 181867523, ( -1), 797471840, 394775575, 53253376, 246079347, 419135451, 925425649, ( -1), ( -1), 915681202, 683159034, 480746571, 576670094, ( -1), ( -1), 551619623, 671149518, ( -1), ( -1), 343984531, 392065762, 359653398, ( -1), 754181110, 774695464, 875187046, 285214718, 60425427, ( -1), 507443553, 347491736, 420938853, 198417005, 229752631, ( -1), ( -1), ( -1), 56417694, 796805922, 281397931, ( -1), 240187044, 128123951, 397129559, 966833035, ( -1), ( -1), 865181205, 912866178, ( -1), 555040039, 958891330, 428549647, ( -1), 940848086, ( -1), ( -1), ( -1), 608764964, 565493733, 332525468, 984874043, 437841242, 864675774, ( -1), 29378665, ( -1), 541944649, 733725387, 381856255, 519617536, 924716403, ( -1), ( -1), ( -1), ( -1), 882518660, 386451136, 657108386, 45743751, 793419306, 343465892, 967103788, ( -1), 819702247, ( -1), 189425714, 62596694, ( -1), 71131688, 272114228, 461681380, 124120824, 229454627, ( -1), 231358527, ( -1), 488040622, ( -1), ( -1), 31833569, 787674813, 131759837, 101597373, 852539293, ( -1), 640978674, 800802245, 807610144, ( -1), 853613373, ( -1), ( -1), 230534684, ( -1), 107270726, 927746886, 981988091, 476012855, ( -1), 154240994, 121034081, 372363981, ( -1), 364224931, 62885170, ( -1), 56141308, 898304925, 407678421, 710441788, 751960296, ( -1), ( -1), 607467192, ( -1), 524371156, 393362985, 746994692, ( -1), 652852623, ( -1), 494034891, 261744266, 952250739, 694183561, 801856236, 228040924, 710254839, 566240251, ( -1), 483624144, 721591878, ( -1), 947066379, 770336162, ( -1), ( -1), 380445873, 391398315, ( -1), ( -1), 221244018, 961675198, ( -1), ( -1), 620032586, 445085022, ( -1), 238348055, 952887655, ( -1), 830030209, 946113044, 905633856, 72176149, 74280487, 863994249, ( -1), ( -1), 287119681, 453220507, 486420906, 307599646, 271973951, 869699059, 421492892, 159250938, 231504601, 837813096, 596778049, ( -1), 26576331, 949151201, 504328582, 132364745, 739985870, 764004555, ( -1), ( -1), 475674526, 732618527, 785307901, 544859167, 515453919, 163982714, 793494778, 106421455, 651645458, 152132143, ( -1), ( -1), 24715604, 537588675, ( -1), 204502569, ( -1), 813988704, 665196444, 94633156, 261712639, 202719921, 406829525, 289108167, 753160072, 471941801, ( -1), 973295385, ( -1), 466986897, ( -1), 111138878, 744266502, ( -1), 241185882, 920779833, 823185611, 926397841, ( -1), 736716917, 283509925, 643478913, 554340548, 653892127, ( -1), ( -1), 815491545, 537307010, 240591268, 114233148, 726061311, ( -1), 26655468, 362261428, ( -1), ( -1), ( -1), 406778963, 498436219, 323668450, ( -1), 597196259, 778968119, 775945989, 995211842, 42045969, ( -1), 106894093, ( -1), 886903788, 198574868, ( -1), 696498438, ( -1), 592774184, 136809434, ( -1), 317808517, 831969948, 137187430, 693802931, 79800103, 939171429, 446296861, 151947189, 848076033, 650017902, 412316345, ( -1), 440710418, 43829693, 530690705, 223655580, ( -1), 76225375, 897888936, 780657759, 231148791, 720611697, ( -1), 611781010, 434311781, ( -1), 197039840, 570473374, 310322553, 945883610, 738332960, 561478656, 191284979, 6340069, 742393541, 610321196, ( -1), ( -1), ( -1), ( -1), 621016992, 731672207, 310410640, 867190749, 126298383, ( -1), 873237688, ( -1), 622959149, ( -1), 378736514, 663255384, 536365729, 89243438, 669496604, 835936271, 916147528, 350055645, 315522217, ( -1), 57153295, 316814994, 325637786, 953569959, 316352293, 624766541, 456111721, ( -1), 606892973, 424177186, 780561784, 742659843, 136224067, 749567487, 163010722, ( -1), ( -1), ( -1), 375946441, 718687257, ( -1), 527189676, ( -1), 314940457, 909037418, 775449207, 45774302, ( -1), 558811795, 950594798, ( -1), 797659156, 417924849, ( -1), 160823222, 827557642, ( -1), ( -1), 515595532, 613538762, 594290638, 734364216, ( -1), 528121036, 688824907, 157670888, 828891012, 272450087, 5735612, ( -1), ( -1), ( -1), 91328962, 106745805, ( -1), ( -1), ( -1), 540995801, 901471032, 718085195, 740037721, 169804311, ( -1), 422333544, 12351598, 933365043, 331577251, 52079100, 171164967, ( -1), 650357117, ( -1), 408384838, 481777634, 561683442, 504378048, 820245506, 232225214, 834100833, ( -1), 939360503, 933477027, 439978661, ( -1), 862417595, 5888365, ( -1), 653700240, 855215718, 789606398, 809301455, 666575740, ( -1), 33177195, 151954687, 134427951, 468255589, ( -1), 748392093, 23686260, 60305751, 414509767, 432894797, 232985041, 444024450, 468540572, 391439695, 859314387, ( -1), ( -1), 713246553, 275903581, 114824161, 659396036, ( -1), ( -1), ( -1), 65220014, ( -1), ( -1), 937355977, 997755776, 208721099, 276408162, 496022692, 467604578, ( -1), 343923612, 301415255, 40250072, 136291603, ( -1), 471216898, 513591719, 96465642, 677419756, 296358422, 759194591, 865897852, ( -1), 917331920, 616141372, 907134235, 332899433, 625813322, 750106256, 987077245, 859145745, 529303306, ( -1), ( -1), 363801453, 72023691, 59869990, ( -1), 655630475, ( -1), ( -1), ( -1), 276539988, ( -1), 572368998, 595019105, 825017041, 26849649, ( -1), ( -1), ( -1), ( -1), 662221118, 536047188, 910629437, 431128654, 320288075, ( -1), 721625263, ( -1), 288481929, 754054491, 584764668, 563474182, 275074728, ( -1), 481624332, ( -1), 191423344, ( -1), 253830594, 697532771, 405713654, 317896836, ( -1), ( -1), ( -1), 929315498, 351895307, 1883014, 632594103, 670106608, 758990105, 386900469, ( -1), 482228788, ( -1), 678240705, ( -1), 937758477, ( -1), ( -1), 560376493, ( -1), 855214878, ( -1), ( -1), 390499806, ( -1), ( -1), 991101729, 117716399, 345377807, 158194278, 579614035, ( -1), 842675038, ( -1), 88743938, ( -1), 501104861, 16684619, 93250627, 968070701, 681369926, 545697792, ( -1), 476542184, ( -1), 944044549, 721994418, 962089936, 774534267, ( -1), ( -1), 79278688, ( -1), 358531452, 867355863, ( -1), 876037846, ( -1), ( -1), ( -1), 651889971, 843646229, 578212972, 162968210, 72983064, 672746492, 465750019, 789974134, 250067859, ( -1), 11730259, 910826617, 25228533, 645568163, 795283858, 975503306, 724880873, 953094283, 164302651, 147819779, 618271030, 5160898, 561176112, 583035605, ( -1), 133359779, ( -1), ( -1), 482968583, 446756930, ( -1), 366576276, 331729545, 141816632, 290013864, 432314039, 728676939, 952985189, 643891584, 262037455, 410456353, 947040434, 837104896, ( -1), 362056883, 722109263, 546452248, 491176385, 176950067, 704305126, 184464185, ( -1), 964874276, 333242034, 450070735, ( -1), ( -1), ( -1), ( -1), 247252048, 764538676, ( -1), 347351027, 734261605, 85850044, ( -1), ( -1), 858066870, 768528849, 366800666, ( -1), 672723577, ( -1), 352530285, 572858435, ( -1), 245200620, 993471426, 267228688, 569213253, ( -1), ( -1), ( -1), ( -1), 813198102, ( -1), 946378955, 372532248, ( -1), 807955477, 476481845, 26831475, 474556120, 9237088, 431616495, ( -1), 775661876, ( -1), 926614118, 630449979, 823449055, 633368932, 959759009, 470708813, 929362047, 259525863, ( -1), 109160163, 711251001, 214434832, 328653520, ( -1), 816623156, ( -1), 635107485, ( -1), 15251914, ( -1), ( -1), 968913126, ( -1), 244311962, ( -1), 230735730, 710821691, 791733498, ( -1), 635119598, 796244756, 487079234, 54493929, 92554220, ( -1), 194801098, 138092761, ( -1), 796112305, 469506599, 855329462, 12230124, 453335101, 748266241, 757563870, ( -1), ( -1), ( -1), ( -1), 672985927, 505786820, 259274388, ( -1), 794288630, ( -1), ( -1), 504406479, ( -1), 504793887, 627243998, ( -1), 386018963, 809896212, ( -1), ( -1), 729237722, ( -1), 775076804, 294211231, 324476042, 976924132, ( -1), 545263969, 109076922, 761154983, 935116752, 438794908, 868451165, ( -1), 249999786, 978213115, 335642642, ( -1), 28562703, 55223376, ( -1), 905475799, 629217427, 30875923, 856472237, 58557468, 146058430, 393496687, 981924886, 658349304, 954251450, ( -1), 397672063, 599477999, 392508537, ( -1), ( -1), 311489247, ( -1), 67181139, ( -1), 759567502, 588325762, ( -1), 499347290, ( -1), 804226997, 441834974, ( -1), ( -1), 972460024, 984742257, 859959498, 360812547, 609501478, ( -1), 725948613, 2774497, 402806124, 43809724, ( -1), 61387482, ( -1), ( -1), 148447187, 345838393, 157065367, 395351219, 942085975, ( -1), 713630059, 863185152, 204040356, 761411231, 38507194, 196757714, 132691402, 786301437, 154414909, 371256607, ( -1), ( -1), ( -1), ( -1), 270797477, ( -1), 949202461, 252836495, ( -1), 552274579, ( -1), 84584924, 155115612, ( -1), 795677800, 978056068, ( -1), 860363708, 173968466, ( -1), 465491075, 330321388, 943553695, 262593759, ( -1), ( -1), 623397226, 851499775, 283208545, 250824411, ( -1), 564865252, 444913943, 561576519, ( -1), 326801258, ( -1), 407305080, 360467262, 49043416, 28330119, 967560102, ( -1), 156306044, 485949865, 216406214, 353817126, 987056240, 948579619, 80255962, 94657211, 242265869, ( -1), ( -1), 577103381, 30134488, 710485340, ( -1), 199146071, ( -1), ( -1), 854602238, 692665411, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 572288517, 927919674, 294258141, ( -1), 281615094, 587459773, ( -1), ( -1), 916776501, 243490621, 671791380, 232561793, 898708948, ( -1), 234454494, 117516613, 989676376, 203084682, ( -1), ( -1), 966035069, 425236315, 637459678, 15684048, 650766254, ( -1), ( -1), 542358490, 447707987, 772393763, 444332397, ( -1), ( -1), ( -1), 750048793, ( -1), 934557083, 629852479, 532556962, 648220253, 315881054, ( -1), 47671208, 159258271, 676507278, 250535444, ( -1), 216463943, 198023764, 451487771, 889995440, 835889492, 106881011, 452395808, 674049049, ( -1), 332102990, ( -1), 185394679, 297864014, 757145260, 713311498, 536906635, 771780667, 952464490, 528965588, 367839775, ( -1), 869376100, 313421995, 532921915, 773303982, 814069245, ( -1), ( -1), 443745237, ( -1), 537486603, 263544651, 496500699, 639113683, ( -1), 11579058, ( -1), 185217265, 803244448, 389501524, 266915370, 950389308, 234573749, ( -1), 948208076, 760288945, 15502647, 82076273, 991208575, 369761237, 618009226, 98976073, 434998995, 411317628, ( -1), 82886895, 524238150, ( -1), ( -1), ( -1), 691807002, 526429455, 639241428, 690594198, 373701580, ( -1), 333756982, 551613883, 821235673, 990603536, 134521466, 977112868, 632662067, 20601060, 516011829, ( -1), ( -1), 87523715, ( -1), ( -1), 771208858, ( -1), 965212769, 640314495, ( -1), ( -1), 926257547, 306852315, ( -1), 705383999, 282095608, 940653474, 645855666, 609709241, 450067972, ( -1), ( -1), 97479524, ( -1), 439114657, 625532939, ( -1), ( -1), ( -1), 461522319, ( -1), 784108277, 910556621, ( -1), ( -1), 935562877, ( -1), 707693388, 953944790, 509036496, 137826654, ( -1), ( -1), 105794140, ( -1), 42948060, 104575620, 651825912, 423540827, 121441010, 64044280, 678677366, 702732735, 20674016, 143760020, ( -1), ( -1), ( -1), 54171993, ( -1), 783375944, ( -1), 883414619, 181802106, 175113467, ( -1), 909780239, 5319378, ( -1), 137888853, 333083639, 626380120, 637969522, 320836683, ( -1), 437350561, 994641647, ( -1), 886253144, ( -1), 263725438, ( -1), ( -1), ( -1), 464837424, 535825058, 230731985, 898850161, ( -1), ( -1), 69492064, 395385578, 188923796, 835732294, 789402755, ( -1), 344457368, 738160294, 932562677, ( -1), 648427162, ( -1), 463301036, 708021327, ( -1), 330402189, ( -1), 411154647, 731223896, ( -1), ( -1), 728615911, 26052766, ( -1), ( -1), 427567853, ( -1), 420366424, ( -1), 739312468, 899525449, 322511611, 214664645, ( -1), 398824712, 958070556, ( -1), ( -1), 931162105, ( -1), 924063766, ( -1), 937274993, 447110209, 83349811, ( -1), 570860896, ( -1), ( -1), ( -1), ( -1), 788927917, 886555953, 580083916, 620567238, 683828822, 230747010, 641017964, 573590606, ( -1), 562349723, ( -1), ( -1), ( -1), 793505881, 578043995, 168012488, ( -1), 679047832, 531137319, 620495801, 841058790, ( -1), 811367260, 674832286, 647185796, ( -1), ( -1), 49314000, ( -1), 509821583, 747690955, 565143862, 499083962, 113657212, 751824664, 919206872, ( -1), 73531356, ( -1), 841548888, 125438621, 357634556, 740132509, 323936371, 985833303, 703928927, 648712109, ( -1), 985050183, ( -1), 485066958, 559456034, 862186724, 284677864, 470451526, 795849123, 410084927, 435461537, ( -1), 127670063, 532023665, 83131973, 855204886, 823814845, ( -1), 198107533, ( -1), 343655830, 688160623, 653525043, 90633871, 762556242, 304600525, 401364751, 584943917, 669105000, 789340952, ( -1), ( -1), 354743353, ( -1), ( -1), 592319973, 41934230, 767838242, 659046626, ( -1), 904933998, 515961333, 672891270, 801899191, 805508561, ( -1), ( -1), ( -1), 269313272, 975366651, ( -1), ( -1), 761464738, 246221849, ( -1), 166123890, 10153572, 773544290, 473846453, 596109056, 663682351, 862624169, 313720464, 630585601, 191868867, ( -1), 6820434, 505052945, 460181682, 865873772, 959596864, ( -1), 776177685, ( -1), 68457722, 852836559, 224309678, 619886340, 186856837, ( -1), 177555180, 510365918, 263206306, 787931732, ( -1), 677733646, ( -1), 452572975, ( -1), ( -1), 986040796, ( -1), ( -1), ( -1), 449995278, 736329847, ( -1), ( -1), 367582253, ( -1), 850228282, 557469734, 385261587, ( -1), 596349818, 200803065, 942763902, ( -1), 338209167, 838604905, ( -1), ( -1), ( -1), 676370581, 31663637, 287708211, 722195705, ( -1), 333798448, ( -1), 920697302, 697961166, 931588318, 580845528, 725420377, 249670921, 926589460, 568607924, 427701034, 267555621, ( -1), 158371793, ( -1), 692596716, ( -1), 319726810, ( -1), ( -1), 118291204, ( -1), 233991157, ( -1), 417065574, 702929150, 73921161, 486140946, 353947072, 156245333, 246301306, 304979372, 48276061, 564254450, ( -1), 768274316, 886452188, 540934868, 5994785, 506920219, 545286585, 159382633, 220027261, ( -1), 310392451, ( -1), 395514613, 152471713, 570200268, 572014601, ( -1), 843791120, ( -1), 690165904, 998214030, 992315670, 8767801, 307616646, 930173182, 655315005, 757688070, 938331440, 349438055, 411000454, 700061813, 120920255, 793735411, 707201488, 998391504, 402964089, 360065449, 276129836, 108438142, 625896879, 900330782, 416897431, 433548010, 707340321, ( -1), ( -1), 459067561, 147650204, 615902909, ( -1), 35381654, 539272847, ( -1), ( -1), ( -1), 454571582, 543342761, 190144259, 203999757, 200322447, 562216697, ( -1), 699085555, 860373141, ( -1), 670374610, 835921726, 588936933, ( -1), 758461664, 387540311, ( -1), 619880922, 100783043, 410024630, ( -1), ( -1), ( -1), 474463024, ( -1), 437933152, ( -1), ( -1), ( -1), 473484626, 851123434, 693363409, ( -1), 429440196, 195326481, 320507511, 965941551, 411745064, ( -1), 506449794, ( -1), ( -1), ( -1), 850927596, 736135561, 452080818, 328037314, 879698868, ( -1), 236291774, 678856375, ( -1), ( -1), 66116123, ( -1), ( -1), ( -1), 260127636, 742609942, 217414571, 588600781, 917756580, 182664390, 633334477, 967625808, 345150701, 557181918, 615162719, ( -1), 160176393, 681569187, ( -1), 917438497, ( -1), 922166780, 517570314, 956443236, 374387153, 733232945, ( -1), ( -1), 983551195, 55394103, 14982996, 856192419, 282587121, 43967096, 587994749, ( -1), ( -1), 851737547, 201194250, 633993790, ( -1), ( -1), 313499493, ( -1), ( -1), 220013830, 467429405, ( -1), ( -1), ( -1), 576839873, 894469767, ( -1), ( -1), 79692195, 132535007, 23183594, 23050630, 763127599, ( -1), 633144295, 54919333, 681889168, 409435090, 415856370, 32755688, ( -1), 199438360, 469235582, 194693458, 30446736, 540549068, 529955617, 19613055, 967252991, ( -1), 262596886, 381732556, 783293614, ( -1), 32500030, ( -1), 24567102, 204822836, 896714331, ( -1), ( -1), 215932360, 56663280, 266648242, 668148711, ( -1), 1906626, ( -1), 617713190, 173626672, ( -1), 322357359, 3548862, ( -1), ( -1), 920644536, ( -1), ( -1), 569269724, 738167985, 871094243, ( -1), 583732610, 717926690, 366931303, 753800030, 848068439, 663718514, 711147499, 55376916, 530982198, ( -1), ( -1), 250546255, 183865153, 10469089, 439225821, 685019747, 929029484, 950939225, ( -1), 889490000, ( -1), 747074517, 45975447, 26065683, ( -1), ( -1), ( -1), ( -1), 628389764, 527575687, 789134331, ( -1), 36647052, 521390300, ( -1), ( -1), 338882388, 376306929, 135841787, 140624055, ( -1), 276128859, ( -1), 760130915, 977797617, 897407413, ( -1), 924793448, 109904107, 51520484, ( -1), ( -1), ( -1), 590271133, 537938166, 394706081, 882143687, ( -1), 820054162, 31817820, 1950524, ( -1), 614289550, 350132829, 430025197, ( -1), 444450671, ( -1), 90207531, ( -1), ( -1), 608789440, ( -1), 788839508, 654816621, ( -1), ( -1), 194296518, 87821493, 969808394, ( -1), 430846504, ( -1), 388345407, ( -1), ( -1), 81003474, ( -1), 660148912, 612308407, 835472036, ( -1), 624402389, 974990587, ( -1), ( -1), 73513210, 464134193, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 397930854, 17301686, ( -1), ( -1), 882133790, ( -1), 215315211, ( -1), ( -1), 537356416, 376707932, ( -1), 9854369, ( -1), 16354529, 845037553, 664695466, 624889199, 659468170, 608303500, 690114925, ( -1), ( -1), 515227696, ( -1), ( -1), 581539149, 978431292, 373940358, 614282892, 672125840, ( -1), 77046020, 647899066, 645302887, 544492026, 706098800, ( -1), ( -1), 384710176, 454234294, ( -1), 19224013, 794742695, ( -1), 355214045, 424510383, ( -1), 457437692, ( -1), 75950676, ( -1), 75052497, ( -1), 160683350, 403534054, 43295561, 651529473, ( -1), 472521830, 700827066, 199699590, 860803942, 872458469, 868243813, 649644537, 860414805, 729749543, 244447954, 206975768, ( -1), ( -1), ( -1), 291490549, 850587668, 226515883, ( -1), 215733552, ( -1), ( -1), 517651967, 29355622, 727002365, ( -1), 138815009, ( -1), ( -1), ( -1), 576035638, ( -1), ( -1), 631502726, 830367015, 830778038, ( -1), ( -1), 693570333, 466575444, ( -1), 144530845, 302641632, ( -1), ( -1), 152378871, 495073544, 871684065, ( -1), 923323211, 44825067, ( -1), ( -1), 490817229, 5360611, 695194021, ( -1), 940246516, 358517301, 413534050, ( -1), 591257156, 870926255, 195312762, 46384994, 759851209, 571363397, 878496629, 726302937, ( -1), 910459058, 659612622, 180155028, 451582694, 195214667, 168588910, ( -1), ( -1), ( -1), 854967927, 699018962, 772938072, 562068940, 629393783, 264631095, ( -1), 92789393, ( -1), 610070431, 556311977, 104878837, 753721921, 955535891, ( -1), ( -1), 141856532, ( -1), 587013671, 86193722, ( -1), 220413938, 27555653, 497604618, 646990247, 219402707, 569587040, 693002970, 622414933, ( -1), ( -1), 984366366, 980437492, 834846465, 681714452, 780399378, 906380707, ( -1), 228201532, ( -1), 335488729, ( -1), 529312179, ( -1), 392494181, 646850455, 770402905, 507644123, ( -1), 182794876, 932519180, 792196713, ( -1), ( -1), ( -1), 516331262, 915942484, ( -1), 486256857, ( -1), ( -1), ( -1), 282422710, 162538652, 58676540, 408957017, 865498269, 55361021, 7450973, ( -1), 642294234, 268371433, ( -1), 239768530, 585797348, 145911832, ( -1), 12494119, 680659679, ( -1), 801625383, ( -1), ( -1), 327490470, 33335397, ( -1), 761765465, 462088636, 40935453, 803026885, ( -1), 525042404, 772755233, 310874941, ( -1), 104597536, 996748399, ( -1), 79662932, 991006671, 772728011, 970626112, 581544566, 980824413, ( -1), 774505992, ( -1), ( -1), 572223895, 567529126, 385343937, 366845645, ( -1), ( -1), 850359620, 328952981, 213724765, 458535946, ( -1), 893526978, ( -1), ( -1), 276477672, ( -1), 135482529, ( -1), 312952394, 779734614, ( -1), 113934495, ( -1), ( -1), ( -1), 111583979, 523293837, 346412766, 586261818, ( -1), ( -1), 546972177, ( -1), 630120248, ( -1), ( -1), ( -1), 555747884, 976270951, 546392076, ( -1), 375802790, 800403092, 401713417, 210247304, 511624409, ( -1), ( -1), 479185992, 183514106, 982799263, 112751676, ( -1), 140134465, 956188262, 788928292, 144049205, 787490933, 449616678, 469339953, 982410555, 991485773, 27313283, ( -1), 662574149, 96437599, ( -1), 176389070, 278519776, 412577481, ( -1), 470891576, 739785654, 898123204, 364302508, 356241737, ( -1), 165438662, 85939406, ( -1), 29323022, 407040433, 38554455, ( -1), 398394332, ( -1), 739693642, ( -1), 389903069, ( -1), ( -1), 890067266, 726124076, 712990833, 589414005, 828084040, ( -1), 34999535, 970817613, 60941058, 322826454, 187655619, 697688835, ( -1), ( -1), 38909138, ( -1), 699859016, ( -1), 865577450, 860780970, 454508343, ( -1), ( -1), 223650592, 329928779, ( -1), 276182560, 470442694, 144680681, 409178953, 371400164, 104856673, ( -1), 873239319, ( -1), 823864210, 205417113, 972548982, ( -1), 894612438, 284130986, 49231946, ( -1), 407769480, 649595277, 100352907, ( -1), 189447454, 124122222, 538083376, 51358788, ( -1), 663137550, ( -1), 809193633, 945369486, 76781670, 364602706, 118921222, 639795793, ( -1), 92071144, 211458866, ( -1), 422168218, 953494592, 481459647, 51127593, ( -1), 578522452, 571559402, 126890210, 421092505, ( -1), 765305791, 545147792, 446827927, 718450063, ( -1), 13410216, ( -1), 99630512, ( -1), ( -1), 343100329, 410172315, 195844779, ( -1), ( -1), ( -1), ( -1), 768330057, ( -1), ( -1), 518539778, 115279788, ( -1), 815126173, 521028606, 371774843, 318398500, ( -1), 321491741, 852069595, 290704146, 169636624, 772124940, ( -1), 658150627, ( -1), 465902155, ( -1), 666879637, ( -1), 636868062, ( -1), ( -1), 930806327, ( -1), 240934134, 310159159, ( -1), 287146206, 77907775, 319254414, 391422339, ( -1), ( -1), 600622802, 455168265, 508512326, 110767864, 274073193, 456216784, 331573417, 436718147, ( -1), 677860885, 472137117, ( -1), ( -1), ( -1), 795178333, 243090819, 16243926, ( -1), ( -1), 69571549, ( -1), 924106878, 993341300, 729779059, ( -1), 111142911, 61994144, 342803611, 74619353, 240653587, 340797874, 269420146, ( -1), ( -1), ( -1), 436257216, ( -1), ( -1), 726350867, 146243331, 463596885, 594723141, ( -1), 610501516, 865268309, 66532052, 170905947, 387379212, 142560815, 98687825, ( -1), 250018526, 669310767, 213030036, ( -1), 967204433, ( -1), ( -1), 742698906, ( -1), 325080522, 187750195, 691781053, 126930422, 182618449, 339331822, ( -1), 773018273, ( -1), 978620332, 325857078, 67627093, ( -1), 922116939, ( -1), 311862103, ( -1), 349412413, 921615564, 659661048, 624909936, ( -1), 556349009, ( -1), 720335347, 319757896, 924575414, 863456098, 968305154, 473342332, 679346248, ( -1), ( -1), 46312494, ( -1), ( -1), 903808410, 315274143, 391587130, 925312065, 715150064, 459330595, 979125138, 875678044, 426504816, 894078276, 700555739, ( -1), 665190575, 751986305, 257524756, 346279340, ( -1), 463609525, 321302665, 228786256, ( -1), 861848890, 170818809, ( -1), ( -1), ( -1), ( -1), 413364672, 781551647, 471396373, 11255020, 136573867, 103192347, 159599865, 87504342, 792188932, 25262943, ( -1), 741942749, ( -1), 336644558, 695399897, 548339684, 981561766, 605969719, 214828641, ( -1), ( -1), ( -1), 285156006, ( -1), 439113138, 743424924, 545518738, 125267354, 561711911, 744017024, 415639057, 162512733, ( -1), 308018879, ( -1), 575354889, 407284015, 295134413, 605285771, 555955089, 369616617, 279524157, ( -1), 330257800, ( -1), 423303212, 311257776, 213028339, 516257809, ( -1), ( -1), 372753895, 512841037, 13571103, 790950346, ( -1), 698514854, ( -1), 918166173, 432806911, ( -1), ( -1), ( -1), ( -1), 786654408, 206185680, 939801085, 757648617, ( -1), 493574760, 835698943, 168932811, ( -1), 609838395, ( -1), 874408550, 20651887, 912733477, 459586276, 763388268, 416917063, 349056530, 802325920, ( -1), 26612769, 678248651, 275975497, ( -1), 56216895, 981793410, 517146520, ( -1), 125881628, 989024113, ( -1), 211857184, 885609233, ( -1), 657237307, 241739187, 992942592, 908346735, 127290581, 995033098, ( -1), 791262710, ( -1), 863139857, ( -1), ( -1), 486336600, 249415752, 764013220, 500954954, ( -1), ( -1), 810226646, 399807708, 930362781, ( -1), 343014084, 528827182, 783736187, 816059633, ( -1), 747932258, 813009175, 659665385, ( -1), 870723236, ( -1), 893692953, ( -1), ( -1), 49250760, 33000279, ( -1), 581618526, 292610130, 253567635, 982694701, ( -1), 41942216, ( -1), ( -1), 347762259, 19166220, 789915970, ( -1), 525828449, 275720194, ( -1), 483132170, ( -1), ( -1), 576083135, 463603894, 534152314, ( -1), 477084495, ( -1), 180928546, 683097781, 988638040, 870523671, ( -1), ( -1), ( -1), 247586071, ( -1), 653573874, 682241692, 521214799, 399140723, 877440271, ( -1), 718002433, ( -1), 857124838, 931353439, 343381036, ( -1), ( -1), 37635605, 538458010, 347264771, 926588452, ( -1), 271413394, 323847989, ( -1), 519607056, ( -1), 627469829, 953046141, ( -1), ( -1), 627948077, 595821841, 250871232, 326698879, 879942150, 937008043, 254082653, 189600, 1124094, ( -1), ( -1), ( -1), 871342456, 630617065, 364800993, 122986868, 250282967, 250679302, 195795706, 857750732, 119300136, 240811651, ( -1), ( -1), 844701396, ( -1), ( -1), 557672470, 399330444, 733439864, 500715416, ( -1), 917089717, 698841381, 826791184, 487127793, ( -1), 580152615, 337069617, 71967030, ( -1), 545902351, 893996937, 731979916, ( -1), ( -1), 731150178, 537804995, 913464892, 43253566, 592365202, ( -1), 892659936, ( -1), ( -1), 271169958, 467482619, 514988165, ( -1), ( -1), 350408228, ( -1), 176392579, 867052974, 538263300, 532163625, 183361928, 389601197, 662769169, 578370619, 278813337, ( -1), ( -1), ( -1), 859924265, 115017040, 672543998, 329639879, 358023588, 279018571, 479955273, 870885518, 3083132, 395658820, 436174616, ( -1), ( -1), 640086858, 421020483, 128721076, 612291892, 450705535, 139996710, 151418214, 300756999, ( -1), 567043085, 678014532, 657566083, 660979811, ( -1), 297763071, ( -1), ( -1), ( -1), ( -1), 671002893, 992726309, 623643536, 299204886, 927399419, 832295395, 203968394, ( -1), 969493240, ( -1), 686642102, 705669452, 300538503, 104291159, 704613412, ( -1), 152764693, ( -1), 973282666, 835045597, 766291878, 476300540, 704025142, 888671777, 228496796, 216856929, ( -1), ( -1), 857921899, 741335661, ( -1), ( -1), 334305507, 634374102, 857205130, 980599854, 733805978, 349108644, 564065916, 738454460, ( -1), 647924671, 132389776, 197962382, 891026795, 412975640, 30369891, ( -1), 219888249, 580214795, ( -1), 828006469, 633092964, 416021445, 478913163, ( -1), 522493820, 876276686, 517069397, 487719419, ( -1), ( -1), 127370193, 458917444, 288052992, 335257682, 807159224, 915875601, 555790927, ( -1), 434007426, 183597121, ( -1), ( -1), ( -1), 552751482, ( -1), 226705456, 799888122, 104557564, 671532994, 873184938, ( -1), ( -1), 452917866, 119983058, ( -1), 184033050, ( -1), 721067938, 543422392, ( -1), 310292712, 490369045, ( -1), 67083478, 573477140, ( -1), 162469257, 581088671, 513310381, 192822200, 6956443, 738077714, 130333781, 975103935, 88993868, ( -1), 460809808, ( -1), ( -1), 162081417, 49287738, ( -1), ( -1), 653941668, 715360571, 763639914, 118826076, 511195406, 422115735, 502645069, 826559280, 379701527, ( -1), 413890140, 212161484, 200652144, ( -1), 717347588, 524491666, ( -1), 228843130, 217393007, ( -1), ( -1), 812576681, 432497380, ( -1), 201603827, ( -1), 251759601, 38923583, ( -1), 842219252, 979473518, 375051296, ( -1), 951593972, 878829369, 116819725, 211175203, ( -1), 112070837, 846748543, ( -1), 488970745, 712613429, 88709712, 177481242, 925954680, 469799520, ( -1), 295202687, 52122019, 184977147, 729899114, 839663151, 109830380, 320966624, 941584919, 923624885, 571742022, ( -1), ( -1), 423594216, 879449763, 861304807, 719918579, ( -1), 961854497, ( -1), 411305502, 453229037, ( -1), 172048782, ( -1), 570475848, 725926734, 488186725, 442941028, 40844135, ( -1), 24587259, ( -1), ( -1), 706677210, 937132126, ( -1), 87015472, 342432619, 462905230, 793315974, 524699911, ( -1), 126297614, 335676286, 475054795, ( -1), 969637429, ( -1), ( -1), ( -1), 535269989, 700399617, 411157842, 506875315, 567363698, ( -1), 844810284, 781590428, 990570333, 590759308, 681697880, 192545981, 127545788, ( -1), 890904618, 327468751, 460920016, 126955943, 119024210, ( -1), 328277161, ( -1), 286080072, 348099489, 608757769, 195293279, ( -1), 814799777, 245027247, 215142633, 843920397, ( -1), 729687443, ( -1), ( -1), 722608331, 385767006, ( -1), ( -1), 140722220, ( -1), 608110564, ( -1), 40736821, 998353561, 925266421, 193513102, 3602449, ( -1), ( -1), 800609527, ( -1), 268082698, ( -1), 113927478, 144065364, 600820577, 905317082, 579150250, 678325525, 174454193, 670602776, ( -1), 509367648, ( -1), 516812583, ( -1), 246061838, 750767256, 739842781, 625193035, 393270060, 289675711, 636647641, ( -1), ( -1), 129623192, ( -1), 90559350, 306525843, 598142099, ( -1), ( -1), ( -1), 188413264, 189060818, ( -1), 918372259, 475838814, 335509021, 352268738, 198212625, 491855134, ( -1), ( -1), 585481973, 79074689, 666861038, 967413723, 78906696, ( -1), ( -1), 309630299, 706024927, ( -1), 593911694, 625160451, 291454470, 330053447, 352215420, 808243396, 772268418, ( -1), ( -1), 104849750, ( -1), 880158342, 108560924, 263753244, ( -1), 513831618, 729562005, ( -1), 142348965, 115220412, 837601895, 618268500, ( -1), ( -1), 453227654, ( -1), 798300652, 903357289, 117995616, 968676, ( -1), ( -1), ( -1), 857901657, 207698117, 18862434, 9647809, 87151976, 843578605, ( -1), 381327680, 40006081, ( -1), 478610329, 565355893, 200483362, ( -1), 381254813, 343682878, 625450568, ( -1), 824854098, 198187270, 182934449, 513471152, 684248343, 197479224, ( -1), 203352346, ( -1), 535502758, 507690475, 534613620, 54892539, ( -1), 185180679, 279707767, 746671012, ( -1), 182785307, 150340071, ( -1), 632930328, 55622446, 305344297, 281972089, ( -1), ( -1), 705168024, 148225325, 904789106, 692752238, 721502209, ( -1), 707233261, ( -1), ( -1), ( -1), 389399920, 380212477, ( -1), ( -1), 921501359, ( -1), 59751138, 831333075, 629738022, 824861913, ( -1), ( -1), 346317530, 228852133, 970605127, 566041668, ( -1), 558304232, ( -1), 341468651, ( -1), 312827250, 686682607, 808226734, ( -1), 476379045, 155195695, 688643086, ( -1), ( -1), 116559628, ( -1), 291691482, 644901210, ( -1), 181391371, 351152610, 366462616, ( -1), ( -1), ( -1), 572025064, 524368055, 289042818, 306847541, 327746892, 696125211, ( -1), 948733182, 290678798, ( -1), 303950991, ( -1), ( -1), ( -1), 717805447, ( -1), 919515753, ( -1), 349055617, ( -1), 172908371, ( -1), ( -1), ( -1), ( -1), ( -1), 142554066, 300356941, 212345044, ( -1), 594874359, 556069526, 765389254, 901999245, ( -1), 582971226, 920848771, ( -1), ( -1), 730962415, ( -1), ( -1), ( -1), ( -1), 985485178, 23440718, 758213240, ( -1), 515585783, ( -1), 620150650, 600123359, 16487423, ( -1), 321422731, ( -1), 929031635, 16455806, 983046537, 519458253, ( -1), 168599162, ( -1), 270669379, 165184476, 939691226, 16091689, 205849529, ( -1), ( -1), 148211658, ( -1), ( -1), ( -1), 517365809, ( -1), 150556778, ( -1), ( -1), 408864453, ( -1), ( -1), 556208801, 216463887, 176044996, 610974287, 513952428, 365548827, 938769573, 181647022, 301147397, 809032716, ( -1), 887159345, ( -1), 607293660, 795285, ( -1), 781387830, 602365379, 663681405, ( -1), 802644908, 924842469, ( -1), 41440155, 958764662, 864152610, 958091165, 721475672, ( -1), 639721492, 325519092, 861604118, 983306823, 833426783, 876056548, 916658217, 936673355, 732237514, ( -1), 615100969, 63982396, 823792304, ( -1), 739483441, 344511331, 676899315, 731238149, 801890811, 438662285, ( -1), ( -1), 988554471, 449668068, 585263344, 379348309, ( -1), 661995573, 992329022, 925955103, 187348962, ( -1), ( -1), 431434160, ( -1), 760086316, 375872458, 732639860, ( -1), 608623087, 922981723, ( -1), 387417624, ( -1), ( -1), 636912889, 767313010, ( -1), 266170598, 681853445, ( -1), 270638141, 947415188, 177025036, ( -1), ( -1), 375752336, ( -1), ( -1), 260111707, 111303809, 732767535, 426721096, ( -1), ( -1), 614612427, 150103411, ( -1), 501154926, 683926276, ( -1), 575877418, ( -1), 959605085, ( -1), 455985096, 362702593, 903996017, ( -1), ( -1), 493895229, 574612642, 742763335, 267040043, 403983556, 990046444, ( -1), 725258163, ( -1), 443570396, ( -1), 961502618, 112644881, 653878727, 919062377, ( -1), ( -1), 818735061, 403759554, 500246416, 595465505, ( -1), ( -1), 763053057, 603499338, 816352386, ( -1), 125487472, 119845994, ( -1), 533286489, ( -1), 358702781, ( -1), ( -1), 361738646, 846381869, 985026703, ( -1), ( -1), 26920053, 330259206, ( -1), 258527467, 251080392, 899873447, 819314406, 977495937, 72791894, 400647868, ( -1), ( -1), ( -1), 529209285, 280009221, ( -1), ( -1), 176415487, 796798004, 130197335, ( -1), 564423938, 594325300, ( -1), 244615227, 397477524, 735005368, ( -1), 69893900, 582478594, 796403450, ( -1), 97336686, ( -1), 277663500, 860078567, 916319230, 215062823, 36401870, ( -1), ( -1), 340190961, 196304970, 744756586, 250863342, ( -1), 181237522, ( -1), 928663127, ( -1), 615551784, 985281258, ( -1), 426130386, 507587092, 337126322, ( -1), 576752814, ( -1), 123540097, 941825925, 246739950, 874982696, 744167314, 500613041, 240458178, ( -1), 863496538, 489161692, 759444300, ( -1), 84500969, 124665744, 473066110, 20545778, ( -1), ( -1), ( -1), ( -1), ( -1), 586347189, ( -1), 222221311, ( -1), ( -1), 782978657, 158185512, ( -1), 977896518, 381777951, ( -1), 561952378, ( -1), 814705468, 111593658, 514649560, 663063635, 114432366, 974237556, 538266866, ( -1), ( -1), 658566809, 672045602, ( -1), ( -1), ( -1), 855598016, 825353954, 991429693, 370626378, 141382569, 401485259, 465317034, 590056137, 718265226, 648640197, 834064197, 248100117, 52596815, ( -1), 377114578, 192400404, 941559440, ( -1), ( -1), 143776072, 107328447, ( -1), ( -1), 340207771, 538788380, ( -1), 198874482, 82952161, 630403263, 89290337, 181517194, ( -1), 688394858, 510047989, ( -1), 301095176, 18448669, 900932834, 459665111, 998989417, 168095065, 446960950, ( -1), 918816824, 343168751, 919490934, 204785128, 946379274, 815668963, ( -1), 932035139, 619520617, 458193963, ( -1), 348555977, ( -1), 156960149, 665878382, 808368745, 865627828, 646030647, 412395192, 280982690, 316687856, 105102931, 83718826, 154954625, ( -1), 505444990, ( -1), 464271139, 621768333, 2310968, ( -1), ( -1), 308877327, ( -1), 785845688, 364941588, 967241599, 253347429, 613355277, 452256590, 561538137, ( -1), 671601451, 633724874, 506474707, 28895640, ( -1), 279007134, 701262113, 807760512, 981110156, 355740995, ( -1), 46684293, 246601073, 932622764, 56072505, 700010029, 481513238, 470262317, 655943899, ( -1), 783234847, 94906918, 712421319, ( -1), ( -1), ( -1), 589594340, 47511713, 447198356, 158606580, ( -1), 191552032, 649732779, ( -1), 333826245, 510612706, ( -1), 257705696, 695801896, 927011767, ( -1), 465894196, 777156747, 898423948, 375332728, 359145072, 194090899, 558148421, 862659402, ( -1), 773089245, 544904771, ( -1), 320796678, ( -1), ( -1), 874150458, 307983452, ( -1), ( -1), 573228877, 351660077, 454791517, 449494934, 507078798, 273141568, ( -1), 660762970, ( -1), 194090784, ( -1), 408155279, 139352506, ( -1), 165124695, ( -1), 196953164, ( -1), 755105287, 251556605, ( -1), 254862451, 536454573, 856795496, 353544807, 133639979, 673694009, 571988211, ( -1), 109214709, ( -1), 603433161, 678936805, 616428153, 416784881, 851289759, 171890631, ( -1), 402224789, 925242961, 852956024, ( -1), 509120639, 181843988, 90012568, ( -1), 384260451, 67904251, 197137454, 281215778, 841215479, 671388761, ( -1), 23700929, 780750910, 432987363, 423365899, 372557834, 936068249, ( -1), 963089713, 457277657, 252529799, 378487505, 626091788, 710104660, 213476106, 895500446, 595214845, 950388751, 777444717, 693718371, ( -1), ( -1), ( -1), 528853816, ( -1), 647982517, 579038061, 766494838, 604259624, ( -1), ( -1), 156250152, 629469324, 749967984, 486697565, 578098292, 419494524, 402149710, ( -1), 64266191, 733304829, 619466856, 792194679, 631602268, ( -1), ( -1), ( -1), 554107673, ( -1), ( -1), 41752556, ( -1), 287869715, ( -1), 579854826, ( -1), ( -1), 495803295, ( -1), ( -1), ( -1), 710856621, ( -1), ( -1), 47758304, 650385951, 758992435, 700469406, 112699195, 722451951, 174664434, ( -1), ( -1), 313972531, 182572550, 240222478, 922315992, ( -1), ( -1), 860740628, 432629687, 36663865, ( -1), ( -1), ( -1), ( -1), 387899412, ( -1), 444941466, 181569760, 239773141, 94534428, 121473852, 905626744, ( -1), 534757920, 940894218, 328614723, 900688510, 162780355, 708578921, ( -1), 956413858, ( -1), 64744567, 25287184, 279186593, 876831456, 896689407, 931003636, 780171986, 363012516, ( -1), 613951744, 522987985, 905353449, 805537584, 536145886, 983564097, ( -1), 439688847, 153872086, 788777901, 528904354, 268015041, 609114200, 842421941, ( -1), 567184051, 731192010, ( -1), 985640823, 986691746, 740340292, 99162141, 6234348, 748907004, ( -1), 575786793, 76246177, 780954238, ( -1), 333673797, 239377997, 852159029, 809655088, 897946957, ( -1), 505458688, 168554751, 542867218, 429155400, 274670356, 263406254, ( -1), 627405092, ( -1), 775054212, ( -1), 844497102, ( -1), 92053729, ( -1), 233692797, ( -1), ( -1), 637111004, 509338424, ( -1), 59077531, ( -1), ( -1), 496974303, 404043024, 820638140, 308039013, 101478663, 365908023, 276915056, 259790248, 874817818, 375101743, 429630355, 650156425, ( -1), 698956263, 217366935, 878769552, ( -1), 849845736, ( -1), 129464549, 496921256, 398047361, 321478878, 442673408, ( -1), ( -1), 38106033, 379759354, ( -1), ( -1), 789297288, ( -1), 495934070, 378615847, 552229735, 774591031, 457366374, 833939919, 311359484, 120516191, ( -1), 662211164, 478314209, 359319716, 244513405, 704605798, 859456668, ( -1), 980025428, 780046409, 742004754, 54240396, 444277790, ( -1), ( -1), ( -1), 57843228, ( -1), 265754548, 363354184, 229117226, 949157187, 569883750, 669537788, ( -1), 700706039, 573683284, 457515672, 225182176, 382312691, 284385015, 430868353, 91540521, 102017460, 599732684, 829238701, ( -1), 903242329, ( -1), 949500963, 989103129, 338163068, 592627380, 993152152, 892536703, 517466570, 931879564, 925782908, 117601976, ( -1), 217136683, 413707605, 863650915, 9266801, ( -1), 590423584, ( -1), 15690702, 474416573, 997085757, 417833828, ( -1), ( -1), ( -1), 182279454, 864943163, ( -1), 696655182, 317391648, 908451453, 871196266, ( -1), 925858551, ( -1), 32246475, ( -1), 513974585, ( -1), 387083872, 150629614, 621018499, 489779848, 919826183, 431988531, 258906174, 434031275, 189841935, 380367658, ( -1), 13587216, 38298756, 861552163, ( -1), 317456843, ( -1), ( -1), ( -1), 176797237, 795392114, 56372820, ( -1), ( -1), ( -1), 886513523, ( -1), 366408509, 256993585, 284024862, ( -1), ( -1), ( -1), ( -1), ( -1), 774006490, 51865948, 81358644, 195538447, 893808125, 663392439, ( -1), 962574406, ( -1), 769801971, ( -1), 665545883, ( -1), ( -1), 704360087, 89545101, ( -1), ( -1), ( -1), 108897610, 715569338, ( -1), ( -1), ( -1), 843268204, ( -1), 380831996, 997181130, ( -1), 989145801, 903394718, 528842902, ( -1), 359774264, 816907843, ( -1), 314201195, 231726863, 942216455, ( -1), 314701191, ( -1), 216363311, 491693698, 293826796, 171101237, 450313830, 98044809, 31241258, 418829791, 725654883, 166721525, 38624071, 233022407, 357388897, 250388456, 576344501, 593776567, 435055875, ( -1), 67064994, 73550361, 588126239, ( -1), 517680126, 785334117, 961675563, 914986388, 979500381, 373707363, 563443637, 934099669, 800918536, 420548487, 707230917, 542702587, 46958550, 939213565, ( -1), 728451193, 521329407, 31960437, ( -1), 314719289, 776338612, 506339805, ( -1), ( -1), 240723659, ( -1), ( -1), 823339483, ( -1), 102392432, ( -1), 980940315, 931896231, 646689435, 489509506, 286051545, 830626495, 545244639, ( -1), 493423885, 315002184, 915308087, 3777804, ( -1), ( -1), ( -1), 621328158, 924050975, 985064735, 305156231, 927991808, 842598142, ( -1), ( -1), 631028310, 811901003, 476524896, 438261328, 136607405, 509435508, 622842076, 963817050, 6152604, 747089172, 287296763, ( -1), 26913951, 221785835, 178509125, ( -1), 792829332, ( -1), 151735573, 44493105, ( -1), 686901602, 209188816, 341356944, 705434369, 711145414, 344135699, 983069482, 863724472, 217507574, 394513430, ( -1), 991514243, ( -1), ( -1), ( -1), 883134923, 399137891, 342114828, 140963829, 379838852, 256032441, 709474729, 748233178, 855628540, 421175480, 986327267, 395226889, 101581927, 687464543, 339142637, 408419810, 749601108, 439358755, 138071783, 504518213, 699125815, 475810048, 349802411, 695706515, 190424473, 141061571, 199663763, 888690557, 881748067, 174305287, 535203738, 894917797, 185692245, ( -1), 341408655, 879568252, 950694988, ( -1), 423664531, 967071305, 706149960, 1910771, ( -1), 941039661, 75725193, 718282038, 366950635, 74062110, 473007919, 348724511, 892553273, 475814853, 763375660, 866717481, 953266348, ( -1), 443682864, 335951911, 47068114, 472707862, 732612278, 466382794, 942600195, 232273183, 785398074, 906162075, 912666616, ( -1), 664310517, 976092159, 681993238, ( -1), 973636937, 767290106, 585792087, 151702050, 194068094, 186405014, 382923869, 284509680, ( -1), ( -1), ( -1), 220447307, 806241335, ( -1), 876921802, ( -1), ( -1), 216817985, ( -1), ( -1), 308065061, 851037861, 130102221, ( -1), 330700219, 195894147, 27800404, ( -1), 726719249, 626274241, 440403367, 657100029, 210918209, ( -1), 599628445, 685878824, 197249197, 732901413, ( -1), 663051119, ( -1), ( -1), 472499841, 86171632, 170203719, ( -1), 718949073, 394255715, 649313892, 836383663, ( -1), 646899870, 640958002, 983250805, ( -1), 2701566, ( -1), ( -1), ( -1), 793223596, 652455485, ( -1), 234025801, 141022489, 410941048, 602216044, ( -1), 232045692, 198323768, 809542532, 444952492, 139516368, 663075433, ( -1), 373312282, 672789015, 892001963, ( -1), 221755095, 148403815, 827083447, 236004074, 593209668, 924241148, 286632181, ( -1), 941525527, 836013193, 232238787, ( -1), 820276625, 252436151, 936274976, ( -1), 860926475, 149348751, ( -1), 455046832, ( -1), 350775594, ( -1), 558454196, ( -1), 862676186, ( -1), 831056623, 21345441, 569416383, 429328283, 123012683, 418869550, ( -1), ( -1), ( -1), 868769091, ( -1), 306144274, 484122647, 518865459, 430795624, ( -1), 872151118, 619582389, 787839202, 72280535, 261137414, 619751285, 223769625, 133853521, ( -1), 54548749, 395983186, ( -1), 518208490, ( -1), ( -1), 673809012, 945071616, ( -1), 662361459, ( -1), 895550392, ( -1), 462722748, 864161174, ( -1), 103060088, 741335576, 471817670, 145029613, 843900857, ( -1), 534085010, 10450793, ( -1), ( -1), ( -1), 642698382, ( -1), ( -1), ( -1), ( -1), ( -1), 612091632, 22152831, 973879826, 792495171, 739757969, 637364546, 17417274, 10718200, 513530078, 368063741, 455987819, 959240325, 547074745, 68303364, ( -1), 649319368, 953026711, 164147123, ( -1), 835616822, 126565136, 805268931, ( -1), 619360429, 837362116, ( -1), 673333719, 963313654, ( -1), 404406803, 101897327, 337055687, 159978650, 884550595, ( -1), ( -1), 725968341, 281153231, 320130453, ( -1), ( -1), 26383309, 479036212, 864301877, 783402248, 986927538, ( -1), 732910236, ( -1), ( -1), 599505292, 556999251, 412717570, 258150792, 985757277, 660075259, 947721221, 278358479, 819416375, 668850274, ( -1), 479557180, 32489715, ( -1), ( -1), 212181587, 627122675, 94011831, 525884279, 74748174, 384626713, ( -1), 372105338, ( -1), 469367199, ( -1), ( -1), 517791595, ( -1), 970472138, 625992326, 386908849, 457913599, 97705405, ( -1), 10883086, ( -1), ( -1), 623222167, 151107690, 439850958, ( -1), ( -1), 436420992, ( -1), ( -1), 995820668, ( -1), 498378907, ( -1), 717773713, 949006561, ( -1), 932865008, 974967933, ( -1), 492504491, 378366209, ( -1), 324916449, 580876719, 208704859, 590331844, ( -1), 579152047, 339117603, 422062102, 296372087, 927596837, ( -1), 390722667, ( -1), ( -1), 63552910, ( -1), 556979157, ( -1), 953569869, 299385510, 466778626, 481183389, ( -1), 1191080, ( -1), ( -1), ( -1), 102277464, 509028755, 115963930, 673125346, 689034604, 275778322, 812846206, 458236902, 391931077, 214083957, 872822715, ( -1), ( -1), 740465865, 161514900, ( -1), 820311946, 889202075, 162234230, 11255125, 199883508, ( -1), 686950899, ( -1), ( -1), 24833455, 274743884, 69729990, ( -1), 885155486, 448355062, 224364452, 708068902, 258414881, 726024278, ( -1), ( -1), 791018830, 8752735, 308269842, 842163134, 914839270, 107995738, 757040205, 289278492, 910662811, 480472485, 811585887, 169679964, 523456725, ( -1), 932051819, 238993892, 533559713, ( -1), 542950375, 121683639, 254740231, ( -1), 759221060, ( -1), ( -1), 829786216, 688307787, 553508506, 702853802, 63595, 911902818, 921716784, 32635459, ( -1), ( -1), 800124253, 299835457, 498452012, 504810415, 928596374, 895846119, ( -1), 5084421, 67699780, 558723465, 983694211, 280337623, ( -1), 378550246, 652884550, 294213958, 199018991, 750047299, 605736375, 757742866, 526205, 499548425, ( -1), ( -1), 947854703, 639090981, 653982021, 779790813, ( -1), ( -1), ( -1), 861036185, 809470373, ( -1), 222748040, ( -1), 882160948, 133596229, ( -1), 391646451, ( -1), 522136341, ( -1), 903991757, 174522876, 811904355, 675366314, ( -1), ( -1), 7273017, 334813347, 349316871, 244975181, 56242685, ( -1), ( -1), ( -1), ( -1), 714757080, 201772804, ( -1), 319508917, 166427773, 567902939, 198729972, ( -1), 478256175, ( -1), 134384277, 524775163, 76056924, ( -1), 261690507, 879312557, ( -1), 281659215, 383744247, 380577197, 28008925, 521717681, ( -1), ( -1), ( -1), ( -1), 3213179, 889245955, 399063454, 966270310, ( -1), 331615769, 881140999, 179681967, 944863850, 257823304, 755854607, ( -1), 880278615, ( -1), ( -1), 380957643, ( -1), 775421806, 813745530, 743685073, 879045018, 170660393, ( -1), 452246145, ( -1), 202306617, 289649934, 292345269, ( -1), 103827322, 812175976, ( -1), ( -1), 946670891, 219527469, ( -1), 630306535, 684024881, ( -1), ( -1), 214149321, 187250776, 537831803, ( -1), 359703366, ( -1), ( -1), 397459106, ( -1), 84992769, 243611814, 466374814, 840291546, 817067451, 504592154, 952291281, 767022705, 945563203, ( -1), ( -1), 639634004, 63443882, ( -1), ( -1), 734344746, 12062677, 896812419, 410524951, 647435088, 44946808, ( -1), ( -1), ( -1), 246329625, 711445360, 678943154, ( -1), 443532008, 307788842, 128199329, 343495556, 555810611, ( -1), 586332140, 43622449, 195282186, ( -1), ( -1), ( -1), 551588492, ( -1), 924744336, 333141768, 601556780, 606454094, 756977779, 810568895, ( -1), 915233365, 462197875, ( -1), 59837075, ( -1), 325396747, 153124242, 800147575, 520077616, 368783692, 966003977, 78782850, 334866103, 946571971, ( -1), 325088960, ( -1), 541620246, ( -1), 421661696, ( -1), 904439880, 152978919, ( -1), ( -1), 899139034, 745003346, ( -1), ( -1), 700851992, 125818224, 749960143, ( -1), ( -1), 126459112, 898045701, ( -1), ( -1), 956328858, 676672027, 340952450, ( -1), 366662782, ( -1), 841294772, 884632965, 501868543, 150937962, ( -1), ( -1), ( -1), 207429817, ( -1), 991269099, ( -1), 657350276, 915194010, 420463000, 812251473, 496471763, ( -1), 726199738, 12919758, 995734382, ( -1), ( -1), 764241707, 904464174, ( -1), 860618352, 715088517, 163661548, 138928693, 532120063, 675596143, 220669158, 357997861, 528547928, 269085686, 81636394, 156862004, 398617698, 378817964, 3130242, ( -1), ( -1), 665371234, ( -1), ( -1), 759627907, 135504076, 131175312, 664596074, ( -1), ( -1), 480290477, ( -1), 557995266, 417311619, 872731627, 51338511, ( -1), ( -1), ( -1), 678342138, ( -1), ( -1), ( -1), 580368301, 769473431, 825772746, 631517261, 290790638, ( -1), ( -1), 282363333, 492055637, 903971984, 964967432, ( -1), 549275472, 79540841, 940995804, 58901402, 483618268, 619688347, ( -1), 45286029, 133504130, ( -1), 960843021, 998197079, 57730609, 375807818, 388566926, 155798213, ( -1), 909528374, 960976620, 751980443, 292461003, 273416956, 442718485, 306499620, 904404347, ( -1), 514825967, 631153967, 667416082, 419721146, ( -1), ( -1), 604951318, ( -1), ( -1), 28328557, 272867823, ( -1), 324920735, 256310112, ( -1), ( -1), ( -1), 735365077, ( -1), 134721149, 21035996, 959347017, ( -1), 722316144, ( -1), 364737592, 501917292, 202428659, ( -1), 430292995, ( -1), 164364260, ( -1), 492100949, 867626249, ( -1), 609402173, 29866383, 304383536, 147248148, 383126258, 423768043, 254693006, ( -1), 721996114, ( -1), 307954261, 806850286, 133117074, 156509394, 574921390, 550046603, 769453667, 909374187, 310751596, 221860492, 609960205, 48707960, 658073772, ( -1), 31072614, 277842972, 363435527, 205913041, 198110086, 254023325, 602747133, 85132713, 562154053, 387132804, ( -1), 719544725, 416867484, ( -1), 232924896, ( -1), 202338404, 310735225, 964122815, 778759023, ( -1), ( -1), 618049749, ( -1), 621190546, ( -1), 681126068, 269842897, 526488652, ( -1), 12453256, ( -1), 722094871, 439078638, 995278718, 302439033, ( -1), 288722574, 238979826, 291498914, 801749889, 110532261, 662796214, 754215907, 571627484, 400404343, ( -1), ( -1), 508668829, 474841235, 839930213, 675361106, 83632941, 486994267, ( -1), 860880723, ( -1), 189685219, ( -1), 738046747, 470112842, ( -1), 222820992, 119886406, 154378636, 939808653, 370096983, 379512678, 12515222, 878522268, 45821791, ( -1), ( -1), 687339532, 811697466, ( -1), ( -1), 140304775, 4707226, ( -1), 415810712, 754790623, 907377358, 627320814, ( -1), 639894360, 828986858, ( -1), 843173765, 335817440, 310543379, ( -1), 825782338, 796995331, 972398548, ( -1), 416497413, 755972265, 398825837, 100296172, 859867726, ( -1), 878157063, ( -1), 708813445, ( -1), 820211345, ( -1), ( -1), 433641912, ( -1), ( -1), 992918398, 632028217, ( -1), ( -1), ( -1), 669368985, 260851329, ( -1), 760386127, 431939992, 673502542, 641209274, 312585988, ( -1), ( -1), 163408078, ( -1), 80691093, 539471783, 868919292, 981290758, ( -1), 745325226, 698544367, ( -1), ( -1), 791064668, ( -1), 529211212, 99444459, 200538536, 162478341, 957414444, 533049671, ( -1), 101725150, 411289993, 766528192, 612171548, 899863180, ( -1), 602443623, ( -1), ( -1), 346386106, ( -1), 151304224, 676798605, 464137425, 776587964, 817464525, ( -1), ( -1), 487089592, 848384898, ( -1), 267742964, ( -1), 894250249, 693695484, 109394559, 273539068, ( -1), ( -1), 754165546, 416169479, 541335246, ( -1), 64171438, 610936708, ( -1), ( -1), 261161605, 273397525, ( -1), ( -1), 138512827, 23914437, 277939764, 350899112, ( -1), 277633438, ( -1), ( -1), 384362011, 32340936, 678420766, 929830220, ( -1), 914614597, 451111035, 386623263, ( -1), 479121922, 434153952, ( -1), ( -1), ( -1), 399039480, 833406426, ( -1), ( -1), 11237252, 395778328, 637797649, ( -1), ( -1), 136787002, 336578528, ( -1), 484661959, ( -1), 272276104, 604248917, 8809799, 722766917, 234843405, 932313923, 68878621, 525244811, 246829261, ( -1), 892953355, 14007235, 863802288, 670788782, ( -1), 863896881, 483346145, 622951907, ( -1), 563619445, 12935353, 965796276, ( -1), ( -1), ( -1), 880114016, 585845174, ( -1), 38992223, ( -1), 426728635, 380961219, 732929058, 216183013, 720092392, 999502406, 486675599, ( -1), 161510563, 451136409, 271155547, 249088071, 545035991, ( -1), 500027510, 278469727, ( -1), ( -1), 785206709, ( -1), ( -1), 656064316, ( -1), 566412534, 268897903, 739352594, ( -1), 301056421, 3399138, ( -1), 298550220, 496543901, 904154063, 413452589, ( -1), ( -1), 100988613, 189645375, ( -1), ( -1), 423860145, 12335009, 374248284, 560916837, ( -1), ( -1), 678688588, 470178556, 81675555, 234649560, 142361429, 731497758, 924059745, 220837310, ( -1), 622086021, ( -1), ( -1), 813064386, 45771480, 829899491, 617164299, 868634522, 128627535, 126191615, ( -1), ( -1), 811603229, ( -1), 605981444, 725987474, 909125141, 164089649, 923097493, 940912951, 654469793, 419498966, 904863157, ( -1), 6694469, 918989121, 642070534, ( -1), ( -1), ( -1), ( -1), 459939733, ( -1), ( -1), 487340461, ( -1), 601269615, 116167956, 154888230, ( -1), 869529920, 141465932, 159170080, ( -1), ( -1), 688263642, ( -1), 404426399, ( -1), 293179121, 931330095, 49086471, ( -1), 547454510, 133338711, ( -1), 203582543, 458945021, 747128414, 492479276, 285574585, 701709680, ( -1), 165232910, ( -1), 51732478, ( -1), 840742160, 95016870, 920365091, ( -1), 179213060, 814176912, 219743631, 679521011, 753320911, 54984859, 301656827, 823507467, 300990996, 418197346, 820549051, 884591834, 68040581, ( -1), ( -1), 831714105, 195079633, ( -1), 696167586, 967442812, 855445942, ( -1), 821031829, 576170937, 500157182, 89969556, ( -1), ( -1), ( -1), ( -1), 327851453, ( -1), 940440703, 608489903, 466270220, 132935161, 991330333, ( -1), ( -1), ( -1), 263047935, 952165128, 51913481, ( -1), 934995269, 132801309, 787593717, 731372755, 582064378, ( -1), 382306817, 113089980, ( -1), 36514120, 237485905, 575525113, 346743311, ( -1), 186033732, ( -1), 580753141, 235885120, ( -1), 189560013, ( -1), 821777494, 251802206, ( -1), 62698662, 588808198, 263339871, ( -1), 256744629, 736207077, 615257413, 559786306, 103085887, 957649688, 67607245, ( -1), 266193973, 464258226, 31644964, 62628746, 155967283, ( -1), 850117837, ( -1), 308001357, 380427959, ( -1), 411694687, 815678451, 587885522, 543724396, 586287604, ( -1), ( -1), ( -1), ( -1), 524607427, 459833804, 932527110, 16762249, 848685301, 667209155, 136029558, 390471248, 912018853, 777884706, 98295126, 632775973, ( -1), 676465010, ( -1), 1268948, ( -1), 898921803, 259278529, 164383703, ( -1), 639027184, 183820878, 431283115, 676973098, ( -1), ( -1), 244885681, 813102165, 751832263, ( -1), 802221302, ( -1), 831830797, 201884733, 400350710, ( -1), 339235605, ( -1), ( -1), 156701044, 729327003, 183643089, 795946089, 360927604, ( -1), 50536902, 975060567, 566913882, ( -1), 347360051, 904388001, 13040809, ( -1), 621055930, 936540899, 721956902, 467665241, ( -1), 436522070, 369881499, 180211953, 190423565, ( -1), ( -1), ( -1), 993173088, 791791277, 772888948, 526506183, ( -1), ( -1), 703155879, 787502546, 691140491, 321829820, 904353719, ( -1), 431960082, ( -1), 39129825, 149529284, 309486942, 204946903, 966916873, ( -1), ( -1), 705113208, ( -1), 944328453, 259325894, 727354878, 674259722, ( -1), 383040003, 945998571, ( -1), 21150806, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 353284020, 699754941, ( -1), 165738653, ( -1), 597740398, ( -1), 560716012, 469411813, 195806310, 516253325, 91329586, ( -1), 893030179, ( -1), ( -1), 122245984, 402371622, 897189897, ( -1), ( -1), 46379140, 899481494, 32854777, ( -1), ( -1), ( -1), ( -1), 456009540, ( -1), ( -1), 137094094, 750816802, 844026104, 862067182, ( -1), ( -1), 144020078, 859240346, 18800238, 136476577, 682084912, 123763149, 528632523, 79261485, 191138891, 647015810, ( -1), ( -1), ( -1), ( -1), 701679959, ( -1), ( -1), 227836650, ( -1), 828279998, 185532662, 609079688, 525664416, 249460308, 847798613, 319164632, 467428377, 68468531, 720848677, ( -1), 938055729, 911941059, 516251193, 336091469, 232686674, 559047098, 32446126, ( -1), 27549185, 985888606, 699949757, 637817740, 492651174, 825759237, 487659188, ( -1), 579922850, 550573993, ( -1), 849156674, 910519389, ( -1), ( -1), 425288343, 660427153, ( -1), 675749685, 649456834, 758733817, 221750921, 939553101, 920399659, ( -1), ( -1), 389523577, 320974174, ( -1), ( -1), ( -1), 990051264, 116019547, 595855433, 646388430, 113768712, 312875068, ( -1), 871836467, ( -1), 770570849, 485555734, 824910812, ( -1), 367697887, 356524769, 243852297, ( -1), ( -1), 527644781, 940975493, 779714500, 563969087, 380056729, 287669523, 321731491, 46825086, 121713370, 498256314, ( -1), ( -1), 140917336, ( -1), ( -1), 912045888, 61553698, ( -1), ( -1), 369164176, 164516559, 847889326, ( -1), 986984365, 310157681, 674444542, 340839240, ( -1), ( -1), 152260419, 769413268, ( -1), 903426796, 536282984, ( -1), 921925325, ( -1), 736370501, 720042354, 214638388, 119097685, ( -1), 633961398, 619247490, 528324519, ( -1), ( -1), ( -1), 264769671, 663081384, ( -1), 263918892, 849465346, 585333654, 625549333, 516436958, 929510676, 628680582, ( -1), ( -1), 986560197, 903774194, ( -1), 845196799, 231379326, 401688257, 265705258, 386447715, 411644520, ( -1), ( -1), ( -1), ( -1), ( -1), 597867759, ( -1), 99729688, 559169351, 954035308, ( -1), 920985301, ( -1), 610640732, 753315047, ( -1), 644854821, 551536099, ( -1), 631895602, 120827697, 747377138, ( -1), ( -1), ( -1), 611295550, ( -1), 498139706, 576605833, 177449719, 135773623, 560872560, ( -1), 638663803, 927239474, ( -1), 890251694, 408954866, ( -1), 324602252, 376280082, ( -1), 823701039, ( -1), ( -1), 616234096, 389131114, ( -1), 503776455, 350148158, 4594008, ( -1), 896514527, 14003247, 879098282, 748036880, 626821212, 634476998, 371522719, 369074236, 2796566, 972262455, 570783993, 962572004, 506630837, 401149695, 297175874, 630736275, ( -1), 481369128, ( -1), ( -1), 785712686, 869245253, 189397880, 88189350, 582133594, 500626411, 832534628, 303589731, ( -1), 721216000, 411560342, ( -1), 417056714, ( -1), 37586174, ( -1), 761440880, ( -1), ( -1), 585095077, ( -1), 271512659, 816834981, ( -1), 631266823, ( -1), 276780661, 436415629, 937504395, 610017190, 169539635, ( -1), 290797342, 401491951, ( -1), ( -1), 354330567, 99166207, ( -1), 731863159, 41593909, 999917005, ( -1), ( -1), 96006925, ( -1), 104145723, 653663697, ( -1), 57859208, 231430183, 130310577, 597967584, 943307852, ( -1), 342132338, ( -1), ( -1), 49930106, 214047522, ( -1), 881369309, ( -1), 353030018, 599625880, 239558046, ( -1), 837161298, ( -1), ( -1), ( -1), 881594686, ( -1), 321211590, ( -1), 597397629, 607875861, 470908598, 267508083, 147311220, 254057187, ( -1), 601328378, 427064218, 504861305, ( -1), ( -1), 966025715, 540117020, ( -1), 591406988, 958049662, ( -1), 244136397, 21210279, 478799572, 728004110, 712276832, ( -1), 823397963, 242046511, 65911752, 364341667, 37220058, 468707780, 159002555, 26126581, 427563528, 753007296, 714671634, 343661544, 268331942, 476405665, ( -1), 256789736, ( -1), 933551269, 585859114, 988421106, 491006178, ( -1), 937403318, 429435419, 745139175, 548383112, ( -1), 217398840, 757822160, 690864790, ( -1), 113363716, 667516015, 772331364, 634066254, 620280188, ( -1), 39089688, 272551689, 689384510, 342315255, ( -1), 604874831, ( -1), ( -1), 873921312, 290279214, 39939564, 14653472, 873062195, 114483443, ( -1), 10323287, 204924779, ( -1), 788560357, ( -1), 731580901, 391658073, 112660962, 807751565, ( -1), ( -1), 314873461, 872312425, 396204326, ( -1), ( -1), 513028301, ( -1), ( -1), 357514032, 853857766, 714701068, ( -1), ( -1), 697621458, 900227264, 897825109, 125429362, ( -1), 39236078, 496348997, ( -1), ( -1), ( -1), 347868514, ( -1), ( -1), ( -1), 859901658, ( -1), 571850971, ( -1), 91508010, 847519362, 93044075, ( -1), 681597785, 791542460, 366156, 656179706, ( -1), 241798131, ( -1), 94776828, 961357871, ( -1), 719685195, 515572958, ( -1), ( -1), ( -1), ( -1), ( -1), 389773207, 835784054, ( -1), ( -1), 516017471, 516174544, 238803564, 213586544, 65938046, 108225681, 702661880, 534667700, 404762326, ( -1), ( -1), 167987307, ( -1), 524117254, ( -1), 350858083, ( -1), 106514376, 506201527, 158260268, 688245776, ( -1), 580076619, 925386138, 238743836, ( -1), 35271149, ( -1), 427266212, ( -1), 39981351, 46199360, 497455241, 696194256, 120165644, ( -1), ( -1), 814623057, 523999579, 260368802, 799507944, ( -1), 211227009, ( -1), 106267235, ( -1), 732914051, 599720769, ( -1), ( -1), 816608454, 283877609, 908167118, 685195697, 955107648, 818321846, ( -1), 199571488, 296771459, 139146601, ( -1), 295244995, 531713539, 220699411, 448201138, 421806628, ( -1), 772509368, 98227380, 365446167, 916781804, 9321985, 821025970, ( -1), 985426850, ( -1), 516328831, 856652729, 297072484, 60218520, 990886581, ( -1), 862434001, 95108222, 159087064, 409221857, 71051838, ( -1), 137516187, 606887437, 870030160, 622267952, 55595581, 221803737, 680578003, ( -1), 268883144, 396807954, 35143271, 624904774, 577707482, 867024807, 850912492, 3579511, 330676211, ( -1), 304462525, 449264319, 101922951, 510049897, 245939500, 686955631, ( -1), ( -1), 248375062, ( -1), 262306040, ( -1), 931037580, 619898676, 923505463, ( -1), 412212464, 358520528, 330287176, ( -1), 886752279, 624211564, 596908448, 791573145, 453563502, ( -1), 754519082, 688558621, 17287675, ( -1), 554801134, 279192069, ( -1), 956373933, 508927003, 128194057, 533519373, 464705462, 454146714, 638249228, 463338807, ( -1), 394030415, 783796496, 781764348, 635121717, 798094833, 392098304, ( -1), 586603083, ( -1), ( -1), 807856750, 678031528, 367007700, 333191997, 760100067, 622327961, 410418198, 810003504, 707951142, 137664804, ( -1), 972021841, 223723708, ( -1), 773210044, 493320681, 540572790, 229562460, 810033408, 601750162, 110748097, ( -1), 58942557, 770445492, 689310889, 322928431, 958963889, 363740047, ( -1), 294171016, 595049602, 393987414, 579041940, 751272361, ( -1), 831866427, 718928811, 43850765, ( -1), 739736135, 57166583, 861642380, 857886265, 709382032, 946847050, 131928104, 429488863, ( -1), 792995414, ( -1), 379345601, 842142446, 509712640, 661840714, ( -1), 95210204, 827450065, 870455106, 347795619, 136990369, 99050639, 362341108, 892384089, ( -1), 209164949, ( -1), 520457432, 486015776, 864332584, ( -1), 306792135, 101461767, 261678439, 336878340, 446851796, ( -1), 428177422, 15065542, ( -1), 424889861, ( -1), 110894455, ( -1), ( -1), ( -1), 317745045, ( -1), 920771835, 283101112, 305144775, 936382469, ( -1), 909441858, 729323041, 763142388, 704275532, 100569966, 97267789, 205683470, 49485442, 42342078, ( -1), 121786162, 390079807, 285894578, ( -1), ( -1), 83570854, 859513618, 734466432, 805000939, ( -1), 568114222, 47278878, ( -1), 455085765, 32286805, 378506892, 400080906, 297229463, 493249461, ( -1), 154878200, 155335461, ( -1), ( -1), 589619414, 407063182, 489617607, 677318974, ( -1), ( -1), ( -1), 317970679, 617401425, 582491911, ( -1), 441840975, 877052053, 27300798, 636009506, 750158626, 674447430, 873132060, 67050169, ( -1), ( -1), ( -1), ( -1), 9945065, ( -1), ( -1), 856732248, 155450083, 462479188, 667888921, 40187616, 209405753, ( -1), ( -1), 301503942, 306030368, 351514393, 348946497, 257322450, ( -1), ( -1), ( -1), 966870054, 589944712, ( -1), 475601738, 967602875, 77629945, 120315820, 241408639, 669191934, 439993587, ( -1), ( -1), ( -1), 439635127, 140847638, 173716212, 667200395, 851861782, ( -1), 524933986, 26548511, 976805660, ( -1), 300426678, 828842755, ( -1), 283496224, ( -1), 602809754, ( -1), 360237135, 107838139, ( -1), ( -1), 126022090, ( -1), 126484908, 597584807, 856009718, 393947865, 298050401, 910517492, ( -1), ( -1), 305987479, 967749084, ( -1), 698965607, 393875304, 185341103, ( -1), 55736525, ( -1), 679786872, ( -1), ( -1), 800958917, 786934538, ( -1), 775603427, ( -1), 727369646, 262440427, ( -1), 116006278, ( -1), 528531769, ( -1), ( -1), 489574816, 507394025, 423021276, 309836930, 590817463, 447597458, 778167391, 526084393, 564770336, 940942171, 968262011, ( -1), ( -1), 38865220, ( -1), 706128265, 756486043, 186552003, ( -1), 398219932, 663480243, 76488713, ( -1), 542252097, 671444464, ( -1), 344258064, ( -1), 675626927, 588311510, ( -1), 55132949, 466809853, ( -1), 527846270, 269414698, ( -1), ( -1), 704534352, ( -1), 714417792, 771730149, 628207020, 526620444, 503901283, ( -1), 687736701, 949116467, 168066075, 843130340, 721087837, ( -1), 395402295, 453432362, 668929611, 395258495, 189437495, 900209942, 824239171, 539277123, 524249067, ( -1), 790964139, 637640499, ( -1), ( -1), 264606866, 52108150, 972281472, 662025371, 256033268, 789066897, 29589875, 892562892, ( -1), ( -1), 242585468, 799918344, 882685656, 639843309, 767585918, 191187812, 338405219, 121127874, 610983115, 881628089, 6742591, ( -1), ( -1), 529387680, 640643711, ( -1), 718344569, 701851186, 878079392, 152116401, 84520839, 810064005, ( -1), ( -1), 633843637, ( -1), 977900437, ( -1), 469865144, 105566789, ( -1), ( -1), 397138586, 223126323, ( -1), 484977215, 618409470, 660927836, 345106803, 187545139, 256795249, 589472419, ( -1), ( -1), 490604026, 874887733, 125040753, 128839292, ( -1), ( -1), 675028629, 93701916, 233114536, ( -1), 557797879, 122401349, 181562109, 958951285, ( -1), 966839064, ( -1), 282700026, 301009648, 610306619, ( -1), 629946052, 578849585, ( -1), 492044639, 462276631, 90288671, 324972643, 372818743, 661185263, ( -1), 618541329, 945131859, 819385771, 969436813, 22178981, ( -1), ( -1), 702671504, 925538126, 385257977, 797079672, 550633744, ( -1), ( -1), 161224385, 723390629, 382389954, 115366406, ( -1), 940040649, 493396506, 240884704, 376493189, 468872959, ( -1), 354206174, 767944942, ( -1), 283628329, ( -1), ( -1), ( -1), ( -1), ( -1), 49786177, 569143201, 436139953, ( -1), ( -1), 273374325, 780731981, 576995675, 877853448, ( -1), ( -1), ( -1), 58024936, ( -1), 712149581, 863723324, 744270010, 251588512, 379275265, 12177630, ( -1), 72598417, 81353880, ( -1), ( -1), ( -1), ( -1), 583868959, 302039393, 160756481, 561718633, 215047039, 551233565, ( -1), 842406870, 118639627, ( -1), 472553620, 994840721, 693803899, 377362703, 960577533, 177836693, 576656765, 792480998, ( -1), 642586626, ( -1), ( -1), 639310788, 950906079, 898344090, ( -1), ( -1), 250920440, 661410142, 991919868, 11345018, 171079485, ( -1), ( -1), 385094816, 384717299, ( -1), ( -1), ( -1), 684804689, 179801056, ( -1), 331706345, 598972578, 879274177, 412834783, 345135595, 854020182, ( -1), 861818251, 10511852, ( -1), ( -1), 112720454, 390817216, ( -1), ( -1), ( -1), 285906404, ( -1), ( -1), 902175788, 278505022, ( -1), ( -1), ( -1), 36393401, ( -1), 572010487, 825749955, 280952272, 689767078, ( -1), ( -1), 678492112, 413051930, ( -1), 950126204, 12768468, 509583065, ( -1), 892409781, 511213840, 209034742, 691036330, 474615, 129472940, 379880931, ( -1), 18328975, ( -1), 827049591, 429736039, 535962121, ( -1), ( -1), 224711923, 579407919, 270805788, 543141914, 828366823, 343603598, ( -1), ( -1), 498941600, 593076504, 45430179, 745986099, 225531897, 632748600, 819183980, 774365126, 507641100, 593838682, 943093319, 74893130, ( -1), 871414897, 136529249, 559125038, ( -1), 244942066, ( -1), ( -1), 811534230, 135018822, ( -1), 191832430, ( -1), ( -1), 825916943, ( -1), 571218114, 182976031, 961273690, 277795158, 554647099, ( -1), ( -1), 423465397, ( -1), ( -1), 598620426, ( -1), ( -1), 570738493, ( -1), ( -1), ( -1), ( -1), ( -1), 356464900, ( -1), 45131535, 369397610, 469655347, 840852645, ( -1), ( -1), ( -1), 110732266, 534398429, 462214445, 49341837, 851098280, ( -1), 341728709, 958634134, 894558947, ( -1), 184986416, ( -1), ( -1), ( -1), 584600350, 862317186, 226451246, ( -1), 875632780, 631474616, 74499357, ( -1), ( -1), ( -1), 55304731, ( -1), 501327485, 775075107, 215698135, ( -1), ( -1), ( -1), 531020605, 874124734, ( -1), 456424981, 242894040, ( -1), ( -1), ( -1), 247320096, ( -1), ( -1), 272757237, 288878235, ( -1), 18843930, 643864022, ( -1), 154159921, ( -1), 955917966, ( -1), ( -1), 836028272, ( -1), 995583559, 530839452, ( -1), 387734181, 659209160, 922215801, 540686064, 650462220, 567274229, 58836692, 566267017, ( -1), ( -1), ( -1), ( -1), 666140252, 641792670, 593681120, ( -1), 648055505, 986115380, 470979269, 428857119, ( -1), 794829243, 997869025, ( -1), 745267687, ( -1), 922811863, ( -1), 829419654, 521169746, 11830170, ( -1), 548148413, ( -1), 737046210, 736598335, ( -1), ( -1), 10909873, 340622527, 218318642, 142372033, 602939852, ( -1), 465776036, ( -1), 290377425, 966938690, 752420107, 811732054, ( -1), 332113041, 184923240, 105811170, ( -1), 518010055, 735675586, 248917814, 564386842, ( -1), 450222849, 779218780, 421659335, 684344891, 812814792, ( -1), 142889144, ( -1), 13893847, 566195223, 995381447, 77182958, ( -1), 562271941, ( -1), 740288518, ( -1), 61803786, ( -1), 501496590, 661598340, 976696231, 330714256, ( -1), 885814531, 218520809, 33181435, 612307415, 854406433, 632885437, 470609048, 708272703, ( -1), 891556328, 406920532, 883512313, 724549334, 756196604, ( -1), 617833855, ( -1), 643577810, 839074926, 314707403, 256782670, 446887358, ( -1), 615135337, 665997215, ( -1), 394032744, ( -1), ( -1), 504373189, ( -1), 867710850, ( -1), 590331633, 458805643, 362821666, ( -1), 50472269, 639126595, 665610801, 675736026, 52200124, 884492569, ( -1), 447649141, 116932725, 239989343, 751739454, ( -1), 775320272, 730956888, 145914072, 368248553, 289100471, ( -1), ( -1), ( -1), ( -1), 228292463, 330635856, 529910432, 484059957, ( -1), 901530502, 963483067, 763269877, 617094561, ( -1), 298095486, 834468563, 896860277, ( -1), 900966575, ( -1), ( -1), 850039201, 603709129, ( -1), ( -1), 118877101, 592221041, ( -1), ( -1), 10545442, ( -1), 741527477, 827943509, 232405163, 458013733, 502881918, 166401106, 892141550, ( -1), 716988918, ( -1), ( -1), 531862305, 111944053, 283233622, 540695046, 661579782, 81105120, 927724187, 922726949, 773375555, 292910677, 439651814, 438263585, 765762435, ( -1), ( -1), 129947440, 171673834, 956905120, ( -1), ( -1), ( -1), ( -1), 907005714, ( -1), ( -1), 987724455, 749878107, 500474812, 788119229, ( -1), 776716510, 784857316, ( -1), 258111587, ( -1), 692619449, 892186618, ( -1), 684851776, 310685806, 152206888, ( -1), 27393113, 324728619, ( -1), 308098774, 773871818, 783723761, 304205280, 456659438, 877031834, 280281700, 216441506, 318127959, 581493914, ( -1), ( -1), 896371974, ( -1), 813564996, 48764815, 358797187, 541826458, ( -1), 571972650, 693908678, ( -1), ( -1), 555500610, ( -1), 780576426, 518328159, 491343500, 550642242, 838821006, 23441060, 417192301, ( -1), 430224758, 964326105, 272453170, 332953057, 508663038, 583184376, 111561067, 779512177, 847433036, 558109423, 364400812, 277069672, ( -1), 383496524, ( -1), 713988574, 324771902, 219594953, 259833210, ( -1), ( -1), 511599469, 992901469, 482033663, ( -1), 720298498, 617127606, 55471693, 540091507, 972349239, 459492189, 273952344, 136477664, ( -1), 598057635, ( -1), 390342235, 147397485, ( -1), ( -1), 919498453, 864529737, 465266061, 973192741, 567123905, 626810984, 272547662, ( -1), ( -1), ( -1), 197877515, 325679993, 82030759, 207813563, ( -1), 947781710, 162648861, 826638612, ( -1), 254127351, 618146565, ( -1), 593861759, 426134007, 519029647, ( -1), 565144674, ( -1), 892066374, ( -1), 950896555, 351081370, 753473298, ( -1), 263035976, 193675347, 626016180, 972473118, ( -1), 673791541, 13806392, 506163756, 324246522, ( -1), 279797857, ( -1), ( -1), ( -1), ( -1), 69392715, 859245683, 332801524, 590001895, 607257620, ( -1), ( -1), 805193463, 52138046, 505562130, ( -1), ( -1), ( -1), ( -1), 870046167, ( -1), 257300556, 537004074, ( -1), ( -1), 570561329, 642051452, 395280780, 794676338, 576625042, ( -1), ( -1), 563749370, 252272043, 357168999, ( -1), 394342268, ( -1), ( -1), 605005879, ( -1), ( -1), 21612427, ( -1), ( -1), 557858429, 99281406, 518974974, ( -1), ( -1), 378463606, 349296290, 969973650, 501429322, 19889555, 1243678, 639677760, 272964606, 825245098, 719608944, ( -1), 224513472, 432300080, 718861463, 345108895, 43430586, ( -1), 125310724, ( -1), 166108968, 138572091, ( -1), ( -1), 681112649, 193874515, ( -1), 313671080, 27983869, 104852132, 625244959, 11258418, ( -1), ( -1), 14432257, 682147619, 222769669, ( -1), 575912258, 154755003, 561242167, 250370062, 723985789, 636868620, 853448114, 201464722, 384001798, 418346288, 154688170, 609716144, 290986486, 107475365, 254042146, ( -1), 98282940, 789130511, 79213058, 608856496, 416345824, 52483132, 943430319, 729685784, 816389176, ( -1), 942291863, ( -1), ( -1), ( -1), 242087570, 292939320, ( -1), 150226565, 671549542, 507642879, ( -1), 468256944, 517186169, ( -1), 726337131, ( -1), ( -1), 492386807, ( -1), 787267071, ( -1), 849259820, 391323678, 880480315, ( -1), ( -1), ( -1), 260869595, 908855582, 788756760, ( -1), ( -1), 210868235, 149234664, 418893644, 640450282, 156884786, ( -1), 691580279, 536742593, 975443504, 281074050, 443428534, 539316763, ( -1), 534018949, 526629270, ( -1), 334861643, 150496734, 44925634, ( -1), ( -1), 194195882, 292664299, 497735165, 461752376, 525021402, 146987399, 121951401, ( -1), 606372608, ( -1), 721389256, 36431322, 158427045, 972382580, 550203913, 722094928, 761687017, ( -1), 708950621, ( -1), 232667108, ( -1), 17238057, 262017608, 217394765, 353829733, ( -1), 834887682, 450692780, 637342580, 233236747, ( -1), 193121793, 13927517, ( -1), ( -1), 723686161, 18701391, 304579004, ( -1), 550010968, 617120062, ( -1), 188399380, ( -1), 174948849, 349773036, 655653385, 77361520, 747381769, ( -1), ( -1), 370024371, ( -1), ( -1), 167475934, 63655725, 36870173, 970664030, 985669313, 481586568, ( -1), 811192369, ( -1), 648509200, 928071425, ( -1), 324845418, ( -1), 490960678, 67499450, 941861988, ( -1), 54168436, 801250527, ( -1), ( -1), 433329357, ( -1), 641801424, ( -1), 230583896, 646167379, ( -1), 346182750, ( -1), ( -1), ( -1), 831843742, 28749864, 12755330, 786288027, 989871125, 581939606, 598058029, 203722966, 206228068, 599221636, 637071767, 197052741, 488998881, 255280212, 354210160, 499250908, 254460867, 346546359, ( -1), 63425657, ( -1), 808816495, ( -1), ( -1), ( -1), 602189881, 498944349, 643179325, 595433537, 76655372, 355430973, 649877539, 164782191, 625483872, 921951512, 356161357, 302927273, ( -1), ( -1), ( -1), ( -1), 878146515, 406544298, ( -1), 999398623, 564243686, ( -1), 190255161, 541249726, 499398944, 949376910, 690951414, 974641078, 938450751, 401725649, 136781063, ( -1), 871682888, ( -1), ( -1), 276812947, 441561767, 536604145, 692335361, 686693270, 18523477, 292710663, 809234763, 883690559, 325718277, 35247145, 372126183, 24236077, 89522114, 245309164, 681226371, 204768629, 601106211, 464011325, 429711478, 56776016, 601098716, 350975798, 991216734, ( -1), ( -1), 92517673, 465381116, 59969627, 431303170, 956523230, 897135205, 429046137, 946525300, 657163821, ( -1), 955637665, ( -1), 454924775, 575159472, ( -1), 925001291, 767331902, ( -1), 492591812, 465152798, 118856440, ( -1), ( -1), ( -1), ( -1), ( -1), 226128739, ( -1), 157708937, 388041159, ( -1), 106530365, 882644021, 111663415, ( -1), ( -1), ( -1), 834071902, 489452082, ( -1), ( -1), ( -1), 705912606, ( -1), ( -1), 451106808, 726260447, ( -1), ( -1), 375666379, ( -1), 929856983, ( -1), ( -1), 654437586, 508254143, 705835334, 592276706, ( -1), 553769481, 409691231, 611866338, 519138345, 170064116, 569643424, ( -1), 147074296, 576244216, 104750957, 427277061, ( -1), 943811941, 270831298, ( -1), 776976827, 802784564, 404578159, 793543711, 569630436, 355523556, 579825866, 515602344, 281991367, 635846989, 479414227, ( -1), 13054321, 141242527, 386213547, 180656482, 478414610, 896056535, 122753849, 551178940, ( -1), 632023464, ( -1), 273881017, 449279533, ( -1), 685483048, ( -1), ( -1), 268238408, ( -1), 70901195, ( -1), 387873722, 995097854, ( -1), ( -1), 558942699, ( -1), 944616391, 829960580, 324453187, 175591889, 48229016, 339048046, ( -1), ( -1), 288315955, ( -1), 939083333, ( -1), 538971528, 778907651, 248717564, 421133253, 917689802, ( -1), 213555176, ( -1), ( -1), 992070712, 229692439, 574352667, ( -1), 553819530, 619786136, 786734973, ( -1), 180800306, ( -1), 60603914, 708940061, ( -1), 27785330, 660997427, ( -1), 268063237, 892807512, 590080411, 240996563, 196537500, 503350628, 328387972, 238932004, 465699685, 142398351, ( -1), 332793688, 538714328, ( -1), 687302624, 106316110, 199657128, 119692912, ( -1), 954382027, 371720367, 796245185, ( -1), ( -1), ( -1), 619071086, 2607298, 38202819, ( -1), 768749786, ( -1), ( -1), 712602987, 836203709, ( -1), ( -1), 477439160, ( -1), 762748590, 862844595, ( -1), 997015940, ( -1), 550018180, 216176330, 482631626, 219691805, 127276067, 870215112, 19360107, 817361595, 440169074, ( -1), 657515072, ( -1), 147093922, ( -1), 597755660, 186198742, 947607578, 395819488, 478144735, ( -1), ( -1), 68189201, 864383145, 830389759, 846129926, 179896009, 859936737, ( -1), ( -1), ( -1), 451681599, 570512200, 850483043, 945614347, ( -1), 285069070, ( -1), 277316807, 622578532, 269037195, 561082746, 353388662, 372437503, 509777418, 377521184, ( -1), 241705374, 621663504, ( -1), 585751024, 374369159, ( -1), 169809972, 520295531, 120761442, 785214790, ( -1), 474641734, 734984176, ( -1), 376403734, 554436960, 385256588, ( -1), 462613111, 216741936, 325186253, ( -1), 927066806, 217547611, ( -1), 684525858, ( -1), 31090341, 591020783, 656384003, 388672226, 957320967, 327344167, 665367864, ( -1), 526003747, ( -1), 447458612, 663136812, ( -1), 569822077, ( -1), 515515518, ( -1), 967053943, ( -1), 125278375, 736070279, ( -1), ( -1), 602085253, ( -1), 865619354, 710921593, ( -1), 693830241, 313593949, 65019639, ( -1), ( -1), 408331027, 356292436, ( -1), 467913282, 985501748, 620051370, 673389860, 535876596, 756822779, 684927353, 372020142, 682098299, 999106527, 167867894, ( -1), 540343405, 527731332, 603886210, 251773390, 58178521, 473388357, 120805478, 686592248, 632372709, ( -1), ( -1), 674772093, 704695810, 786355176, 154294164, 55118061, 524425465, 423052495, 984159458, 341894360, ( -1), ( -1), ( -1), 820435004, ( -1), ( -1), ( -1), 796810218, 785831662, 371714244, 652086956, 363694095, ( -1), ( -1), ( -1), 721740551, 821771036, 620810520, 925371693, 704420700, 548245126, 905023379, 47576364, 385895432, ( -1), 605168661, 634757649, 705156, 59875489, ( -1), ( -1), 299939921, ( -1), 383209548, 10970233, ( -1), ( -1), 559466232, 495143354, 804956446, ( -1), 740288009, ( -1), 855662862, 429633591, 714551953, ( -1), 340501348, ( -1), 323498065, 717627233, ( -1), 144287649, 106399539, 96150976, ( -1), ( -1), 601843458, 964336029, ( -1), ( -1), 307802254, 420691589, 908977478, 810686723, 295158252, 533559646, 484624228, 412762226, 397772065, 918832952, ( -1), 644821932, ( -1), 478122575, ( -1), 540694258, 84860531, 824859324, ( -1), ( -1), 12395612, 7517471, 715229098, 799370378, 610654635, 527373883, 368777245, 12600918, ( -1), 289404822, 894535682, 766706459, 803238060, ( -1), 880417769, 465364223, ( -1), 896237180, ( -1), 825314343, 21696266, 552876478, 429343303, ( -1), 754800903, 800949985, 900224280, 296589204, ( -1), 714213071, 133169544, ( -1), 513200218, 144198394, 503624843, 438934912, 381843140, 414421709, 421545513, 659448802, ( -1), 584978394, 611000050, 47198665, ( -1), 815728796, 63229873, 49551816, ( -1), 78899791, ( -1), ( -1), 661774241, ( -1), 654927955, ( -1), 620386503, 66427592, ( -1), ( -1), ( -1), 235702265, ( -1), 442779979, ( -1), ( -1), 489954351, 368683408, 843649247, 107534026, 188633845, ( -1), 140459660, 498720456, ( -1), 587907114, 975241914, ( -1), 552477128, 227554990, 494686935, ( -1), 153114152, 2291196, 559448112, ( -1), ( -1), ( -1), 947756163, ( -1), 829458701, 474688773, 142662429, ( -1), 61397173, 998205831, 167177341, 561924218, 714428917, 95805347, ( -1), 365478025, ( -1), 184544702, ( -1), 229638732, 679614031, 219383365, 760956481, ( -1), 345715254, 846387936, 566772733, ( -1), 802498689, 773349575, 444299169, 477554341, 231272239, 271362933, 589435625, 582796241, 571732015, 777663000, 324687652, ( -1), 261442891, 467232500, ( -1), ( -1), 735187586, 248642415, ( -1), 277518164, 159109889, 81686592, ( -1), 606232072, ( -1), 201251525, ( -1), 201659507, ( -1), ( -1), 750504941, 289056935, ( -1), 786065223, 239762093, 112488369, 699673236, ( -1), ( -1), 483287349, 684528970, ( -1), ( -1), ( -1), 68818503, 825132395, 948071372, ( -1), 589811893, 770019305, 86921773, 278711036, 384656985, 266247201, 757564681, 301516085, 960424306, 689533174, 189247702, 208409858, 686673899, ( -1), 393178966, ( -1), 412753168, 820201697, ( -1), 78247626, 820134690, ( -1), 1017705, 279459949, ( -1), 52511067, 191796315, 452914339, 526782596, 603157004, 244130579, 174773036, ( -1), 587457649, 740659916, ( -1), ( -1), ( -1), 914482949, 735834597, 184344716, 859812409, ( -1), 865886811, ( -1), ( -1), 338501006, ( -1), ( -1), 418407537, 892161801, 104348503, 115063458, 129626003, 758175171, 857678321, ( -1), 954789711, 674860688, 945625469, 474516678, ( -1), 499831310, ( -1), 308794239, 124643582, ( -1), ( -1), 72612411, ( -1), ( -1), 233945868, ( -1), 253220376, ( -1), 139014356, 373072322, ( -1), 736003245, ( -1), 644123850, 727954, ( -1), 996929601, ( -1), ( -1), 815325998, 984943436, 409417045, ( -1), 825189617, 143318919, 578999652, 373319538, 586320869, 504023287, ( -1), 69877398, ( -1), 511949753, 734184915, 196327709, 211308267, 706902776, 73405751, ( -1), 855856240, 480348494, ( -1), 383371624, ( -1), ( -1), 926982533, 201847622, 227301160, 573817807, 290212061, 983469829, 893743325, 472739467, 396658676, 976494280, 470291914, 313106068, 929577133, 255205434, 437348288, ( -1), ( -1), ( -1), ( -1), ( -1), 427211217, ( -1), 186188698, 671457307, ( -1), ( -1), 172885357, 867185860, ( -1), 429977338, 63564401, ( -1), 533435581, ( -1), 569315852, 345239767, 588780237, 597489089, 794180215, 748002760, 758443560, 568263292, 636917106, 290144585, 537904652, 853277515, 9980316, ( -1), 42587989, 155019341, 623747462, 997261874, 734494568, ( -1), ( -1), 786665718, 392958432, 301216031, 914586862, ( -1), ( -1), 391546384, ( -1), 63004389, ( -1), ( -1), 952427908, 91777739, 139685490, 909025778, ( -1), 797760936, 464718658, 249100462, 769515831, 485836959, ( -1), ( -1), 545935305, 449358616, 110951568, 114952245, 28942977, ( -1), ( -1), ( -1), 512496690, ( -1), ( -1), 995872296, 253510721, 280258273, 818312152, ( -1), ( -1), 527551037, 440016274, ( -1), 563589874, 280303232, 275427194, ( -1), ( -1), ( -1), ( -1), 746998240, ( -1), 939685542, ( -1), 362606829, ( -1), 308996119, 992933143, 694515501, 172813915, 1915948, 875380777, 736807577, ( -1), 142268138, 185042221, 146127497, ( -1), 262389121, ( -1), ( -1), 151220410, ( -1), 109703844, ( -1), ( -1), 610142026, 894441912, 68711000, 790664938, ( -1), 537336373, 330647609, 380176041, 514720730, 187222785, 50414337, 153558034, 45461489, 474330629, 164030805, 967146782, ( -1), ( -1), 571242044, ( -1), ( -1), 113994100, ( -1), 413345074, 299908175, 267251117, 79804730, 632074783, 29903193, 865513332, 324993773, ( -1), 886609775, ( -1), ( -1), 296700311, ( -1), 625479332, 191260879, ( -1), ( -1), 695359769, 821590689, 103897462, 851192588, 703875859, 575292136, 242547248, 260361038, 346718320, ( -1), 368520694, 371968104, 83907509, 205017515, 109081347, 422015642, 430426261, 913940960, ( -1), 171856276, ( -1), ( -1), 935714500, 480455494, 683057127, 450097011, 655462483, ( -1), 407661706, 223508824, ( -1), ( -1), 23259938, ( -1), 132787475, 244109173, 803612351, ( -1), ( -1), 134647698, 419441131, 760242866, 485124369, 499354715, ( -1), ( -1), 760583386, 678455002, 883111496, 454103252, 99888008, ( -1), 757930626, ( -1), ( -1), ( -1), 393060461, 229486997, ( -1), 728564496, ( -1), 556964432, ( -1), 148495173, 405250334, 671462997, 853024724, ( -1), ( -1), ( -1), 787254192, 456899000, 886214766, 361680366, 209267481, 772642700, 13082272, 980752285, 144581740, 85955696, ( -1), 316212915, 528129536, 557971579, ( -1), ( -1), 30350417, ( -1), 4784920, 630393067, ( -1), 229420706, ( -1), 408490356, 868124582, 860336443, ( -1), 163191963, 217104227, ( -1), 339114803, 382038434, 857152633, 469126401, 235418498, 87769497, 470460021, 471025986, 245198504, 172433160, 736429042, 171684203, 10995643, 331004250, ( -1), 16693000, ( -1), 775135814, 347906255, 705046357, 790511550, 826308634, 779457790, ( -1), ( -1), 282310655, 590401626, 341064155, 71146439, 343510852, ( -1), ( -1), 919221710, 987424759, 572776059, 608344650, ( -1), 106091953, 996309084, ( -1), 580707372, ( -1), 481255791, 904400952, ( -1), 272659716, 628139753, 523297204, 311082285, 844473255, 337762947, ( -1), ( -1), 829943162, 792129454, 969544272, 794878340, ( -1), ( -1), 955854445, 797339569, 530605639, ( -1), 279636752, 819637519, 964519407, 497045956, ( -1), ( -1), ( -1), 3149560, 291666354, ( -1), ( -1), 887373459, 989706856, 548997033, ( -1), 671285633, 692324395, 646267361, 512550607, ( -1), 460796133, 648958404, 369179986, ( -1), 285883788, 369836209, 641714490, 22759226, 510529212, 334702529, 443747998, 665321087, 764861344, 114704314, ( -1), ( -1), 421901076, ( -1), 434729628, 299914248, ( -1), ( -1), ( -1), 248377914, 741155028, 19730720, 614872566, 987699236, 548474018, ( -1), 794697561, 702365728, 289370271, 736659796, 238709374, ( -1), 659662407, 938341572, 280405650, 655684012, 426700999, 202040695, 358133003, 478455653, ( -1), 691594593, 357354360, 369443430, 381020446, ( -1), 225658575, 951226748, 432103612, 152294466, 680602889, 354624324, ( -1), 579599887, 838771968, 13072459, 910052477, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 679274781, 162026931, ( -1), 895128709, 242999686, 707249032, 757210821, 729624060, ( -1), 86181752, 430996775, 370954916, 312526216, 148395625, 890807777, ( -1), 770840607, ( -1), 747544269, ( -1), 151533048, 357830397, 199793035, 230726650, 884755302, ( -1), ( -1), 345239288, ( -1), ( -1), ( -1), 437377304, 792006634, 844449539, 928178202, 268439349, ( -1), 350054023, 408548378, 969790385, ( -1), 868836412, ( -1), ( -1), ( -1), 545981057, 853662590, 651685719, ( -1), 261879591, 710608011, 17475516, ( -1), 753534893, ( -1), 844161575, ( -1), ( -1), 872617236, ( -1), 76496156, ( -1), 342939954, 609524972, ( -1), ( -1), 214289161, ( -1), 739225376, 959249384, 625116372, 122002731, ( -1), 846915867, ( -1), 928338225, 29400704, 490691063, ( -1), ( -1), 209912667, 544382100, 444505770, 795825224, 469403238, 972248916, ( -1), 863638441, ( -1), 705432211, 105489546, 507104638, 257883898, 816953695, ( -1), 807583451, 943842940, 664028447, ( -1), 22430944, 928197644, 847255222, 314845327, 511560193, ( -1), 102515471, ( -1), 698433106, ( -1), ( -1), 743704808, ( -1), 996562808, ( -1), 539804996, ( -1), 326822960, 673048495, 454413639, ( -1), 846102800, 102696466, 342344223, 627832083, ( -1), 755425304, ( -1), 146389547, 432384399, 770810807, ( -1), 362731123, 667646052, ( -1), 939365678, 33011386, 467000323, 821476480, 354985814, ( -1), ( -1), ( -1), 293278329, 493493912, 143398041, 5299568, 707526295, ( -1), 631824858, 110408614, ( -1), 346477569, ( -1), ( -1), ( -1), ( -1), 110190487, 734033685, ( -1), ( -1), 935686250, 90857652, 79939622, 762742252, ( -1), 173449924, ( -1), 496339245, ( -1), ( -1), 38360596, 446691803, 686870274, ( -1), 277336010, 251187449, 773676403, 433351892, ( -1), 58137697, ( -1), 644143527, 912852378, ( -1), 123067011, ( -1), 378836927, ( -1), 763738837, 243284500, 118717741, 650127690, 865163819, ( -1), 938411208, 243525227, ( -1), 694450632, 862367742, 219655633, 460439401, 333914694, ( -1), ( -1), 779781886, 229817210, 599867652, 338435728, 505352278, ( -1), ( -1), 16222254, ( -1), 438761845, 432433358, ( -1), ( -1), ( -1), ( -1), 391065208, ( -1), 982340996, 522811691, 690132608, 979061434, ( -1), 822936971, 858442677, ( -1), ( -1), 679975869, 562524140, 47510296, ( -1), 509856934, ( -1), 676086171, 705432999, 442762102, ( -1), 57401989, 793129647, ( -1), 202729094, 871462443, ( -1), 201520625, 280284264, 316047676, 939995625, ( -1), ( -1), ( -1), 30042745, 701704925, 965841540, ( -1), 294741872, 77759665, 951036052, 874745039, ( -1), 492205711, ( -1), ( -1), ( -1), ( -1), 338355441, 61934315, ( -1), 240224476, 4791012, ( -1), 535883611, 220033537, ( -1), 587160243, ( -1), ( -1), 946646897, 744077962, 177100810, 666733946, ( -1), 346383284, 451232996, 631931953, 643061886, ( -1), 928855639, 752934941, 214290984, 980587369, 380624394, 46962302, ( -1), 116249898, 366041013, 177430515, 608583962, 56133113, 527162518, 432696954, 929171723, ( -1), ( -1), 289875440, 377079894, 121412079, 690070146, 23944353, 33195363, ( -1), ( -1), ( -1), 641870153, 109918346, 988760418, 729632608, ( -1), 229178834, ( -1), ( -1), ( -1), 882378790, 36888140, ( -1), 167969352, 195522428, 149316845, ( -1), ( -1), ( -1), 148102657, 402024328, 41106021, 325843600, ( -1), ( -1), ( -1), ( -1), 666178537, 137795212, 697440822, 776829499, ( -1), 450729575, 294097957, ( -1), 237831604, 929984028, ( -1), 514742290, ( -1), 200791165, 647046558, ( -1), ( -1), 741321076, ( -1), ( -1), 588396790, ( -1), 517339033, 864171868, ( -1), 269901638, ( -1), 302858008, 574675211, 719483082, 177746576, 805160041, ( -1), 195680667, 757491717, ( -1), 340940357, 824192663, 104054590, 440629767, ( -1), ( -1), ( -1), 772302691, 702709306, 24172939, 146341414, 606110322, 305912457, 86759544, ( -1), 205887478, 779098191, ( -1), ( -1), 523987069, ( -1), ( -1), ( -1), ( -1), 162505341, 644487728, 184242202, ( -1), ( -1), ( -1), 324981984, 998937928, 171835912, 797024367, 908702223, 680359519, 67154530, 513383723, ( -1), ( -1), ( -1), ( -1), 805269843, 887917560, 399061778, 819120148, ( -1), 158453949, 541036485, 671821799, ( -1), 532895638, ( -1), 450993140, ( -1), 279308274, 642319551, ( -1), 641703746, 207404831, 313405647, 97162630, ( -1), 232660369, 280964353, 902081404, ( -1), 336476421, 850072462, 619235963, 928138168, 753933159, ( -1), 363108202, 97618964, ( -1), 871901606, 691978824, 770290960, 892971587, 607949630, 688357420, ( -1), 271363069, ( -1), 323775383, 700220235, 302263908, ( -1), 428297147, ( -1), 871073749, 763186579, 156363071, 240378174, 811277641, 923295205, 268535001, ( -1), 862422419, 606968228, 589639309, 243304519, 567371337, 587492801, 319505642, 602003515, 598161726, 77695554, 172061818, ( -1), 298291261, 433924201, 550964756, 537306132, 685933590, 768119581, ( -1), ( -1), ( -1), ( -1), 935799740, ( -1), ( -1), 911482503, 173660312, ( -1), 751903089, ( -1), 984799059, 487549352, ( -1), 289360444, 117867415, ( -1), ( -1), ( -1), ( -1), 679024120, 509817799, ( -1), 946155865, 507136483, 510161569, 276540960, ( -1), ( -1), ( -1), 464664871, 680314102, ( -1), 761058244, 335352356, ( -1), ( -1), ( -1), 699010968, 724722045, 520443422, ( -1), ( -1), 473871822, ( -1), 355064946, 95830197, 152816247, 494148145, ( -1), 903978635, ( -1), 635059095, ( -1), 990307517, 337922646, 901242634, 400291683, ( -1), ( -1), 303863995, ( -1), 567352028, 245652427, 44523955, 993716841, ( -1), ( -1), ( -1), 701536848, 830505960, 357206267, 851837221, 233088332, 839312162, 211895860, 940385134, 79074009, ( -1), ( -1), 358658708, 85869772, 784280044, 259398100, ( -1), ( -1), ( -1), 851168678, 664916867, 357021524, 124353235, ( -1), 967756168, ( -1), 515418793, 850275914, ( -1), ( -1), 101184061, 616819688, 907213486, 441535525, 840798735, 158564172, ( -1), 353617340, 546452380, 688184790, 523682727, ( -1), 743107030, 756427427, 718549419, 596836659, 688370461, 638791743, 322790501, 752956781, 21578535, 50542856, 843824076, 960974938, 851760892, ( -1), 854212882, ( -1), ( -1), 336450518, 777567788, 381932305, ( -1), ( -1), ( -1), ( -1), 851772167, 843004206, 463349677, 165417556, 647803765, 858923880, 713525583, 54380807, 587925902, 414649491, 63027851, 364751882, 14392860, ( -1), 1444685, ( -1), 652604796, ( -1), ( -1), 130765837, 507753591, 628130846, 755829279, 921582134, 994168698, 929972568, 945225165, ( -1), 577645228, 802710938, 844970052, ( -1), ( -1), 427470186, 433299257, 219426842, ( -1), 487903168, 326773245, 511697715, 372308242, 986424537, ( -1), 128017559, 401950005, 632090009, 826171853, ( -1), 93763996, 296981094, 984827524, 671346444, 436758117, 169900080, ( -1), 268669166, 850971415, 649138684, 415917698, 780319264, 809392413, 666507909, 239943884, ( -1), 449136627, 304195010, 44599961, 342007808, 281362599, 858812989, ( -1), ( -1), 754012780, 389099858, 401549105, ( -1), 97610618, 35339802, 394099023, ( -1), 434892368, ( -1), 412351727, 245042576, ( -1), 181056743, ( -1), 719472971, 164778204, ( -1), 990353124, 526080815, 81472549, ( -1), 923017369, ( -1), 975817706, 860943932, 596328345, 670320248, 930014440, ( -1), 353705585, 293269318, 928124647, 618357133, 416900751, 798576591, 245758194, 215837134, 948294164, 654627625, 389205095, ( -1), 519139714, ( -1), 937296089, ( -1), ( -1), 854972738, 868272902, 818510995, 766339352, 797715350, ( -1), ( -1), 302196821, 463394254, 910213685, 916764094, 2956538, ( -1), 871806150, 896922798, 425897096, 432904276, 671597187, 816659178, ( -1), ( -1), 342017385, 344712379, 96525346, 481272482, 285362806, ( -1), 524061161, ( -1), 407764895, 225593014, 479748174, 666928583, 68316255, 887153390, 140244923, 134200827, ( -1), 683939785, 709830657, 170526526, 471661909, 967107893, ( -1), ( -1), ( -1), ( -1), 378460841, 273549891, 931745142, 402480097, 452212258, ( -1), 585490115, 79756494, 516880526, 705143321, 201410753, 933958205, ( -1), ( -1), 429265767, ( -1), 68945340, 831969567, ( -1), 889343051, 738481600, ( -1), 456521292, 323345616, 527806073, 171646993, 780496270, 820944373, 873862055, 238061462, 627879180, 844071168, 180463206, ( -1), 237443563, ( -1), 857298488, 44896010, 274635851, 938296652, 956572439, 925239689, 72962202, 918075666, 128245205, 3942788, ( -1), 129775868, ( -1), 927430945, ( -1), ( -1), 127699023, 70044014, 968157375, 54991087, 318252802, ( -1), ( -1), 313932665, ( -1), 745447001, 148037005, 91564422, ( -1), 84412936, 768283330, 110702016, 445556607, 259437127, 889880314, 923340256, 608504050, ( -1), 391100524, 87191395, 871250481, 182069189, ( -1), ( -1), 72379927, 484822828, 796992358, ( -1), 441935340, 763574492, ( -1), 760845616, ( -1), 328616818, 247873386, 140288985, 613809067, ( -1), 611727076, ( -1), 792640810, 462861177, 650247718, 480067932, 287341824, ( -1), ( -1), 518160871, 972605276, 541205975, ( -1), ( -1), 761072241, 619597983, 100818869, ( -1), ( -1), 843811359, ( -1), ( -1), ( -1), 992566929, 875549122, ( -1), ( -1), 683872771, 631388219, ( -1), 23779275, 409701856, 720768669, 974053186, 517302025, 203458881, 879690974, ( -1), 395977531, ( -1), 291276133, 158150304, 252429951, ( -1), 754338768, 610334569, 115391501, 550795270, ( -1), 407350465, 431459810, ( -1), ( -1), ( -1), ( -1), 98746807, 448876909, ( -1), 723402654, 740235019, 941935522, 674074338, ( -1), 565161071, 132107403, 170802185, ( -1), ( -1), 315545711, 746105749, ( -1), 89861451, ( -1), ( -1), ( -1), 265512673, 603830279, 65312821, 285045212, 540631885, ( -1), ( -1), ( -1), 332436743, 269155619, 399713779, 171225539, 89689411, ( -1), 925364032, 307870514, ( -1), 643631616, ( -1), 23143171, 484381363, ( -1), ( -1), 566674169, 894532336, 257109261, 654175738, 525512156, 386270258, 247647389, 119133041, 50767448, 996927737, 683304090, ( -1), ( -1), ( -1), 856903973, 324318452, ( -1), ( -1), ( -1), 24882148, 690177429, ( -1), 403212523, 589662531, ( -1), 107426020, 457474679, 852759438, ( -1), ( -1), 358391169, ( -1), 879924505, 346410089, 99947077, 42296397, ( -1), 658785107, ( -1), ( -1), 185913269, ( -1), 271922445, 218402446, 534099394, 571456145, ( -1), 561622741, 529239142, ( -1), 630300775, 217112669, 50025910, 158703405, 956985648, 761607999, ( -1), ( -1), 341094129, 559522888, ( -1), 244865139, 528505466, 987667863, 597512679, 154936165, 713271154, ( -1), 577817500, 120709206, 238213018, ( -1), 567868747, 539217824, ( -1), 648888325, 432006093, ( -1), 363374891, ( -1), 636080736, ( -1), 755914805, 232358975, ( -1), 548016768, 510526329, 297572092, 634718929, 109259648, 996570899, 512120412, 641473726, 257657722, ( -1), 464175947, 655424585, 735837196, ( -1), 466767858, ( -1), ( -1), ( -1), 791011543, ( -1), 337018660, ( -1), 287707934, 217277765, ( -1), ( -1), 64724058, 914060852, ( -1), 759465245, 765460113, 363403970, ( -1), 719041345, 519385584, 705786395, 180431099, ( -1), ( -1), ( -1), ( -1), 662768002, ( -1), ( -1), 888467651, 385330960, 227040606, 725865009, ( -1), 548345289, ( -1), 91005540, ( -1), 785761817, 458455364, 199547246, 521571029, 171486396, 863603781, 11637798, 488182073, 401449727, ( -1), 756872910, 589481588, ( -1), ( -1), 291058218, 812768728, 301544589, ( -1), 409823867, 251306760, 941651727, 405287712, 330572361, 245863034, 448911935, 350197584, 249234248, 489758928, 919322229, 164517872, 789039232, 933273096, ( -1), 210553448, 394233725, ( -1), ( -1), 717674789, 170268111, 424192282, ( -1), 248153563, ( -1), 660608596, 510763419, ( -1), ( -1), 307998999, 393378813, ( -1), 836041172, ( -1), 992313067, ( -1), 909707649, 577006120, 666489591, 564680091, ( -1), 273581865, 246154077, ( -1), 228484803, 39347678, 177413381, 210816767, 985127686, ( -1), 976504255, ( -1), ( -1), 217135490, ( -1), ( -1), 976801428, 472485568, ( -1), 84722370, ( -1), 972556599, ( -1), 823039291, ( -1), ( -1), ( -1), 326856581, ( -1), ( -1), 963418770, 776458438, 961940932, 694871154, ( -1), ( -1), 734120384, 697073801, 380870774, 112895257, ( -1), ( -1), ( -1), 450003066, 181753189, 755974977, ( -1), 759885396, 598487102, 955485656, ( -1), ( -1), 750957878, 629913958, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 516841934, 799570839, 302202959, 553055192, ( -1), 187869428, 788046717, ( -1), 263090710, 96241212, 592678326, 588573227, 711586248, 490396673, ( -1), ( -1), 624085142, 762110116, 942147803, ( -1), 330530323, 803400343, ( -1), 657341289, 557170504, 852039826, 887837610, ( -1), 72342626, 492118617, ( -1), 377937272, 354233120, 983210692, ( -1), 447227594, 980361467, ( -1), 84577383, 726686955, 399958596, 737062751, 807092797, ( -1), 376218195, 213923989, 856072157, 400961694, 63002846, 60377693, 494715307, ( -1), 407250429, 821814528, 583608094, 312104597, 490497973, ( -1), 10875780, ( -1), 70960342, 351896519, ( -1), 353120980, ( -1), 125434482, 599562647, 398698828, 710008086, 342955533, 240891153, 410432887, 963724723, 266398799, 514457360, 217991835, 503695458, 405889433, 182984889, 723202218, 643140418, 748362000, 881880356, 876910908, 331040588, 956473821, 202205795, 644412383, ( -1), ( -1), ( -1), 486584354, 989888799, 913862931, 390196104, ( -1), ( -1), 637339814, 761645454, ( -1), 921499818, 81647422, 165527678, 956749674, 249693577, ( -1), 275905273, 992368255, ( -1), 275392630, 917523304, ( -1), ( -1), 752340413, 764125599, ( -1), ( -1), 634438550, ( -1), ( -1), 484705193, 696529473, ( -1), 909642680, ( -1), 134917426, 937759758, ( -1), 112335170, 981498233, 283333982, 999315672, 502597822, ( -1), 691657433, 438979699, 864054990, ( -1), 344400755, ( -1), ( -1), 568607627, ( -1), ( -1), 509292808, 667013371, 850210093, 342580114, 940726775, 917247210, ( -1), 315160484, ( -1), 786123209, 938300552, ( -1), 787073269, 678615981, ( -1), 883562830, 856818948, 568325440, 586020375, 189778727, 385645962, 609091455, 319528491, 5680260, 34993159, 416414919, 925865620, 757272633, 273618672, ( -1), ( -1), 332078823, 221624745, ( -1), ( -1), 570965419, ( -1), 278485160, 797414895, 471385765, 407305282, 815459071, ( -1), ( -1), ( -1), 909442003, ( -1), 333570042, 434946387, ( -1), ( -1), 502737789, 729181627, 512085065, ( -1), 335491558, 906601554, 323247726, ( -1), 767521578, 34125748, 136682317, 127641613, ( -1), ( -1), 521985240, ( -1), ( -1), 603966632, 905836016, 176241536, 693744424, 141879515, ( -1), 865657550, 210801514, 593597344, 284822330, 152293923, 837141234, 990756666, 235266737, 600967132, 260557173, 405031076, 584640271, 572561591, 834325482, ( -1), 282081665, 986457897, 398878066, 208951685, 403399629, 520538679, 314014863, 39896232, ( -1), 689430033, 48121244, 155654298, ( -1), 733797853, 859748507, ( -1), 242135343, 974619431, 926055363, 254908297, 149075779, 102692771, ( -1), 578931480, 175825651, ( -1), ( -1), 463985812, 420674679, 378907026, ( -1), ( -1), ( -1), ( -1), 806085534, 886590283, ( -1), 676619708, ( -1), ( -1), 58915190, 508526054, 426188497, 288917225, 354798328, ( -1), 424283526, 815115197, 176008577, 669658204, 717719073, 815425279, 962336259, ( -1), 752966772, 675521066, 273317088, 376066895, 966272009, ( -1), 747525267, ( -1), 593613381, 304273198, ( -1), ( -1), 476067071, 984995093, 865825124, 389557229, 388315946, 138283535, ( -1), 784762142, 153070984, 508726548, ( -1), 907089934, 320344015, 644551180, 411580814, ( -1), 736291064, 401453397, 691581442, 348343100, 291144084, ( -1), 978409390, 340281819, 418017229, 87997087, 995850838, 100782147, 338738256, 616440745, 695457420, ( -1), 598148480, 721637029, 89833294, ( -1), 973539301, 408637916, 759916260, 621566111, ( -1), ( -1), 942396787, ( -1), ( -1), 732420897, 259528572, 356576506, 477949884, 662053842, ( -1), 696295564, ( -1), 365102342, 322101545, ( -1), ( -1), 709396065, 11556486, ( -1), 218276915, 421420360, 922428444, 868223776, 315208136, ( -1), 687498611, 801422609, 87513994, 858061946, 315138026, 703533698, ( -1), 65378401, 506858629, 987863587, 73549784, ( -1), ( -1), 270309189, 154807091, 246677942, 74085566, 573903475, 598304319, 702626378, ( -1), 407939617, 275841571, 923087580, 444566978, 657589822, 418243771, 38611728, ( -1), ( -1), 457643397, 605134356, 481828111, 49426092, 330377807, 694795525, ( -1), ( -1), 22800908, ( -1), 268529076, 192998309, 326853025, ( -1), 838049424, 364070209, 923278537, ( -1), 291829259, ( -1), 15673269, ( -1), 965865992, ( -1), 672197842, 714102206, ( -1), 513638778, ( -1), 204580787, 628606845, 895500700, 359594633, ( -1), 359917966, 353247429, ( -1), 912864335, 944271036, ( -1), 602162427, ( -1), 667507419, 359761051, 651452483, 430443852, 926903131, 94952383, 132910934, ( -1), 141098199, 236667527, 896800106, 170689851, 264316616, 668569208, 694998081, ( -1), 563479021, ( -1), ( -1), 19720212, 600001561, 427134853, 542488010, 147895280, ( -1), ( -1), 12469497, ( -1), 819392618, 542185471, 380957471, 123736958, ( -1), ( -1), 109070078, 920886910, ( -1), ( -1), 589256943, 368172835, ( -1), ( -1), 525616815, 964310989, ( -1), ( -1), 10132739, 72688748, 226208053, ( -1), 972127330, ( -1), ( -1), ( -1), 820609551, 298684329, 803314049, ( -1), ( -1), ( -1), 56219854, 31503276, 256751226, 249007925, 797591462, 186518824, 110981495, ( -1), ( -1), 41338817, 806715058, ( -1), 754880721, 483864034, 906109670, ( -1), 286156371, 24749274, 439315972, ( -1), ( -1), 922748739, 414443846, 916778699, 690090792, 166512525, 756739008, 525845110, 71304684, 197727644, 721333641, ( -1), 574866389, ( -1), 532105198, 466559563, ( -1), ( -1), 171235238, 273734094, 468054484, 628923729, 130279662, ( -1), 718866393, 592948485, ( -1), 817442978, 906964203, 883156884, ( -1), ( -1), ( -1), 382040871, 116866625, 532322406, 78985472, 767696048, 424917179, 202684802, 764435034, 299593346, 658414399, 354976644, ( -1), 375843983, ( -1), 227260056, 929814092, ( -1), 336267371, 457717289, 36658861, 499165996, 733401947, ( -1), ( -1), 576923748, 446145102, 437327123, 602904065, 802907509, 530029742, 699296188, 759072545, 326205107, 584104854, 119641092, 501630372, 126469027, ( -1), ( -1), ( -1), 86899488, 966835069, 815048153, 5746773, 744384124, 201045023, 746294407, ( -1), 510994569, 48835511, 589319716, 807096913, 341436671, 54077618, 259580326, 823852257, ( -1), ( -1), 286219382, 700067573, 601682914, 413280262, 748104794, 342776304, 826851327, 729738110, 160260392, 902352549, 846183350, 112542393, ( -1), 645283760, 122264076, ( -1), 75566819, ( -1), ( -1), 122279042, 857560708, 752533165, 960614436, 330853357, 719083208, ( -1), 829714923, 883375311, 592941242, 862587278, 761734171, 778156697, ( -1), 27837116, 106372557, 361041107, 356125323, ( -1), 996792543, 541787128, 707003863, ( -1), 526657053, ( -1), 811658241, ( -1), 922496607, 899232663, 676269759, ( -1), 955770513, ( -1), ( -1), 762147375, 744977529, ( -1), 827054951, 730295304, 16359816, 928342416, 809484967, ( -1), 51602938, ( -1), 145331401, ( -1), ( -1), 691613474, ( -1), ( -1), 412299012, ( -1), ( -1), 987465463, 140281816, ( -1), ( -1), 754804717, 868410531, 108855882, 166235082, ( -1), 148067559, 628856894, 116961981, 748033210, 454912924, 31820120, ( -1), 785671478, 219672831, 613333426, 783210348, ( -1), ( -1), ( -1), 829936348, 862402344, ( -1), 437781242, 984237945, 655653249, 354904670, ( -1), 574473084, ( -1), 550973502, 583433140, 933305113, 597112290, 125864889, 201316496, 587261472, 963230637, 731376772, ( -1), ( -1), 392125602, 297502429, 503744956, ( -1), ( -1), 714999291, ( -1), 976923870, ( -1), 512992268, 118567432, ( -1), 347980745, 68324189, ( -1), 774986126, 576682251, 468620198, 698141593, 722066023, 643277329, 95233828, 410997854, ( -1), 322047003, 180043521, 423797617, 773098677, 777629399, 710845108, ( -1), 127350750, 593382825, 305819748, 591035259, 518754315, 146863116, 56053982, 602233102, 184737874, 315664789, 236571766, 559436795, 262029172, 316867005, 274311566, ( -1), 874958376, ( -1), 534988174, 397609815, 475451877, 583275742, ( -1), ( -1), 599942814, 115835818, 88772829, 774889958, 503427265, ( -1), 938855334, ( -1), 238744513, 889530690, 635242851, 535542742, ( -1), 411096604, ( -1), 924209332, ( -1), ( -1), 864561711, 430821633, 295886265, ( -1), 685515244, 644560515, 766527551, 95160272, 390844599, ( -1), 559055427, 151839425, 931039520, 672264835, 635444453, 730846355, 120788987, 375749960, ( -1), ( -1), 862466209, 955656766, 419708993, ( -1), 411536842, 436743312, ( -1), 273201992, 338187981, 275677300, 960546786, 567817533, 774905352, 778828532, 598109896, 834383080, 542800965, ( -1), 449997059, 230949073, ( -1), 170449498, ( -1), ( -1), 25470702, 664681734, ( -1), 807861605, 820957490, 588616124, 491485864, 298441768, 541587448, 644722768, ( -1), 418785158, 341305769, 104579729, ( -1), 103956763, 862583651, 530188455, 680091767, 924306260, 137837122, ( -1), 696317904, 335427087, 852651079, 405521655, 822165262, ( -1), 640452994, 834522241, ( -1), 693112583, 829750916, 927302456, 911616218, 411415934, 166583854, ( -1), ( -1), ( -1), 319771199, 408016318, ( -1), 629282176, 807183774, ( -1), ( -1), 938823899, ( -1), 305577267, 889612003, ( -1), 297655297, 712593854, 876524843, 132580088, 579824258, 780730361, 403079482, ( -1), 257964578, 730447812, ( -1), 931434143, 579715175, ( -1), ( -1), 538434038, 309344531, 532492923, 578823796, ( -1), 98427616, 445573181, 208602854, 414103634, 466804809, ( -1), 752838369, ( -1), 810517746, 393842673, 26446526, 746618073, 154140077, 493832864, ( -1), 979724204, ( -1), 201073982, 414818503, 727480035, ( -1), ( -1), 527771906, 146695788, 393744699, 600959100, 831028969, ( -1), 30738162, ( -1), ( -1), ( -1), 583519749, 610154348, 265240490, 86192495, 361332228, 190226628, 995023500, ( -1), 903640842, 247511524, ( -1), 969873347, 390137776, ( -1), 702017081, 912929117, 799839907, 577507815, ( -1), 422772834, 241456360, ( -1), 848131514, 176595862, 637129313, 107154520, ( -1), ( -1), 107517627, 558815936, 600235782, ( -1), 801980150, 210514264, 403001121, 420390674, ( -1), 920214124, 247782973, 564150426, ( -1), ( -1), ( -1), 729201598, 605517079, 603869667, 263723128, 114949189, 168916262, 662828800, ( -1), ( -1), ( -1), ( -1), 274793103, ( -1), 656574588, 852928945, 575961282, 662475462, 290898869, ( -1), 48002544, 395806426, ( -1), 179627841, ( -1), 310915094, 609284388, 181414335, 421186029, 658602491, 819530920, ( -1), 1129078, 490801276, 174184377, 668438706, 184648175, 144580580, ( -1), ( -1), 3792685, ( -1), ( -1), 765990398, 638980534, ( -1), 538293860, ( -1), 421099095, 91413788, ( -1), ( -1), 54192695, 786259942, ( -1), ( -1), 465815986, 404172628, 221638227, 867647268, ( -1), 369674913, ( -1), ( -1), 785010648, 253976823, ( -1), 21549144, 100557455, 174917191, ( -1), 372824099, 555397960, ( -1), ( -1), 733848854, 709758012, 244376987, 296904217, 233223576, 814673075, 134020283, 28037216, 955112310, ( -1), 734509324, ( -1), ( -1), 301384959, 633700895, 236739123, 634325897, 630762871, 6757073, 24818529, 433282471, 562327476, ( -1), 523627370, 625436457, 866357731, 118167091, 682484930, ( -1), ( -1), ( -1), ( -1), 885563542, 999368845, 902247174, ( -1), 343909713, 254364884, ( -1), 336356768, ( -1), 850054303, 247485207, 295697876, 474437408, 918693813, 3950186, 375863711, 464376563, 240922573, 148407899, ( -1), ( -1), ( -1), 727176707, 598309748, 148827128, ( -1), 433370713, ( -1), 889513857, 673049268, ( -1), 713745478, 97095652, 319871174, 325124695, ( -1), 958721844, 34061151, ( -1), ( -1), ( -1), ( -1), 360360643, ( -1), 688847112, ( -1), 404752309, 859906043, 150315782, ( -1), ( -1), 715911706, 750083430, 725121191, 574192567, ( -1), 489574802, 770922242, ( -1), ( -1), 414222875, 451094840, ( -1), 367846479, ( -1), ( -1), ( -1), 749807265, 317992292, ( -1), 914147365, 817574672, ( -1), 997051808, 608888728, 585003740, ( -1), 289325712, ( -1), ( -1), 990778081, 678711595, 123048164, 197155544, 580320030, 2202641, 586512638, 67523344, ( -1), 962146707, 693883257, ( -1), ( -1), 720850607, 624617458, 104320487, ( -1), 355285204, 445150960, ( -1), 988115673, 161849262, 779003828, 947555781, 486972801, 325284494, 349864825, 386819540, 945772360, ( -1), ( -1), ( -1), 155725534, 654700379, 132544698, 938783185, 32659899, 119370214, 114166688, ( -1), 6915828, 647856402, ( -1), 888733338, ( -1), 381203330, 942374622, 514077131, 487190467, 108971278, 37732332, 972304640, 596178881, 444211968, 109115662, 15497107, ( -1), 926088181, 632432467, 225091780, 220224956, ( -1), ( -1), 246664150, 438091110, 397224776, 406462246, ( -1), 425489747, 457438878, 204019766, 401845518, ( -1), 510278282, 453176826, 376512543, 122494574, 437032324, 292367646, 857441451, 624473230, 661318250, ( -1), 57386657, ( -1), ( -1), ( -1), 466853929, 816943048, 308885718, ( -1), 592704838, 292870246, 279745055, 542527315, 88444851, ( -1), ( -1), 990615980, 747143703, ( -1), 943927871, 960095018, ( -1), ( -1), 919063775, 97165029, 963432539, 744880205, 333564138, ( -1), 243358713, 421907226, 564595243, ( -1), 720566055, 346103625, ( -1), 848917338, 438013501, 583082804, 106721447, ( -1), ( -1), 728785632, 314857026, 337254033, 78858968, 30805947, ( -1), ( -1), 536042474, 54161170, 220589389, 698710202, 87131770, 741462387, ( -1), 382920142, 684926724, 418315588, 227267086, 732867612, 487638395, 192649984, 519872347, 705915714, 289010369, 843106383, ( -1), 621994822, ( -1), 182322514, 830926987, ( -1), ( -1), ( -1), 757707353, 151924631, 797661893, ( -1), 124284781, 881510619, 337409745, 752232024, 592863434, ( -1), 2679995, ( -1), 262223015, 827743643, ( -1), ( -1), 410148674, 571296530, ( -1), 305541883, ( -1), 40921030, ( -1), 713948739, ( -1), 891241249, 953342216, ( -1), 557000413, ( -1), 922242147, ( -1), ( -1), ( -1), 791334499, 494877694, ( -1), 988384275, ( -1), 710205838, ( -1), 520126536, 691575770, ( -1), 841500626, ( -1), ( -1), 913789955, 596943019, 944139733, 346084985, 474548960, 144089743, 127447233, ( -1), 239522644, 268298851, 114254825, ( -1), 699463747, 850230870, ( -1), 555462296, 272182071, 728971098, 859470202, 265631951, ( -1), 429149759, 489570000, 286038635, 630086525, 742812893, 983064176, ( -1), ( -1), 258974042, 692364742, ( -1), 861252816, ( -1), 159162264, 986716019, 276334021, 995254789, 657479193, ( -1), ( -1), 816998763, 510945226, ( -1), 530057771, 307105303, 890889366, ( -1), ( -1), 507476375, 895372868, ( -1), 439074834, 538160060, ( -1), 69682711, ( -1), ( -1), ( -1), 585370437, 379373716, ( -1), 229596979, 458698656, 86669141, 78525609, ( -1), 741967867, 904063933, 41612538, 101480011, 887711036, 482804435, 892115580, 861090085, 507180079, 359861798, 787356367, 180229794, 445689187, ( -1), 737802671, 688976673, 780108488, 196016690, 130930156, 415096274, 281324819, 142266084, ( -1), 61992466, 806269410, 661120990, ( -1), ( -1), 227887242, 79888491, 701275832, 996562128, ( -1), 122067348, 776822920, ( -1), 810588405, ( -1), 790834571, ( -1), ( -1), ( -1), 482886290, 453876841, 212097811, 926651686, 776050861, 879838328, ( -1), 92757929, 646305167, 413913825, 146771085, ( -1), 435720667, 368244492, 774819498, 845603821, 974625759, 91299226, ( -1), 7574721, 579984916, 197634300, 595538745, 60365532, ( -1), 173552166, ( -1), 392082921, 670760388, 314140459, ( -1), ( -1), 309087825, 164911331, 44158636, ( -1), ( -1), 810391412, 545129945, ( -1), 955024128, 967222323, ( -1), 968874382, 598105983, 328079263, ( -1), 7432048, ( -1), 392972808, ( -1), ( -1), 600037737, ( -1), ( -1), ( -1), 202709502, 514246773, 898689260, 441764708, 722149963, 146438419, ( -1), ( -1), ( -1), ( -1), 149631213, ( -1), 14715010, ( -1), ( -1), 506489289, 384233616, ( -1), ( -1), ( -1), 856090210, 716866884, ( -1), 889217341, ( -1), 902150481, 99444723, 981220725, 976628727, 498378045, ( -1), 740730186, 158942654, 789949543, 386796782, 594535, 85740100, ( -1), 843747317, ( -1), 663539172, 135775450, 76229849, 388254895, 520895469, 742195939, ( -1), ( -1), ( -1), 643513883, ( -1), 65560436, 293612214, 919823816, 340567804, ( -1), 125484628, 696013946, 996512227, 12910056, 65989410, 465388210, 103962558, 581566022, 185184583, 357634695, 507836669, 518837838, 929276411, 516346815, ( -1), 877973393, 279160016, 262960997, 120112805, 516951301, ( -1), ( -1), 835049044, 201333167, ( -1), 628687184, 612716448, 847934214, 722250321, 361149050, 635291475, ( -1), 661586245, ( -1), 569696503, 455548655, ( -1), 794423812, ( -1), 671444579, 757558731, 141266698, 333296979, ( -1), 615875281, 731537124, 229755205, 248526971, 483983906, 494955583, ( -1), ( -1), ( -1), ( -1), ( -1), 509560877, 105974321, 302925111, ( -1), 805866829, 16817897, 614992939, ( -1), ( -1), 832832882, ( -1), 796116362, ( -1), 816332689, 874949663, 876050063, 812875000, ( -1), ( -1), 786100161, 880144286, 274707298, 478224844, 728290713, 562930395, ( -1), 444717461, ( -1), 992227262, 240777067, 605438352, 405887160, 355132002, 226070516, ( -1), 366010797, 55174365, ( -1), 324699519, 155504175, 156922717, 173817558, 394513262, 989117662, ( -1), ( -1), 153231606, 399565187, 727827686, ( -1), ( -1), 266778677, ( -1), ( -1), 290320818, ( -1), 913234730, ( -1), 946583766, 756128018, 142800844, 784327116, ( -1), 451052869, ( -1), ( -1), ( -1), 262597990, 211655909, 410804149, ( -1), ( -1), 897494688, 660108399, ( -1), ( -1), ( -1), ( -1), 3978446, 809052822, 460601040, 168933669, 702950821, 867350800, 728638680, 448803416, ( -1), 814097399, 948645719, 136493574, 683380733, ( -1), 359070715, 138130223, 258338728, 809097815, 165655149, ( -1), ( -1), 669889658, 930533949, 802637414, ( -1), ( -1), 229702253, ( -1), 464682478, 136367108, 914940589, 10816913, 153519324, ( -1), 98889335, 109045486, 996491658, 148726793, 531430317, 458044097, 782721612, ( -1), 903992385, 482551480, 990765656, 65520323, 134926361, 265675580, 138925096, 119682265, ( -1), 365149710, 272106212, 420182444, ( -1), ( -1), ( -1), 314688964, 265158800, ( -1), 701538144, ( -1), 648668865, ( -1), 418019135, 310216774, 945472296, 437094367, 785955472, 40815202, 211680240, ( -1), 335014651, 496601305, 414888330, 984858043, 573151484, ( -1), 423619525, 371386183, 358990969, 494566531, ( -1), 424441152, 13557963, 110983871, 125980410, 169822811, ( -1), 107666199, 316982267, ( -1), 73978852, 290037715, 800034965, 434963249, 383284258, 671997758, 833860244, ( -1), 291976996, 906261313, 810860999, ( -1), 919915285, ( -1), 120569379, 807835862, ( -1), ( -1), 194578408, 270663173, 362296311, 289464582, 753348886, 233144635, 733688564, 154623292, ( -1), 713653856, 482659354, ( -1), 962380432, 377663811, 119222686, 4594964, ( -1), 698724380, ( -1), 658633609, ( -1), 993380178, 334667907, 649360876, ( -1), 289968299, 338180050, 922952576, ( -1), ( -1), ( -1), 185918540, ( -1), 610300096, 637345809, 725021298, 242621048, ( -1), 368764303, 511292006, ( -1), ( -1), ( -1), 217419775, ( -1), 256741102, ( -1), 884560265, 526737158, 958269547, 722137099, ( -1), 882096554, ( -1), 232691155, 5608338, 98753992, ( -1), 863019337, ( -1), 806242258, ( -1), 167330168, 969641505, 803134177, ( -1), 153879053, 233601292, 57568215, ( -1), 602371474, ( -1), ( -1), 858822228, 282020758, ( -1), ( -1), 315073677, ( -1), 613328577, 370544016, 188308938, 25707036, ( -1), 317546026, 795071054, ( -1), 829218072, 743406689, 536538865, 458759321, 718836341, ( -1), ( -1), 175821742, 528863243, 128916837, 845251687, 566023015, 828331402, 898274445, 962047345, ( -1), 759605654, 727777837, ( -1), 214624272, 928360363, 995653407, 579209895, ( -1), 386369930, ( -1), ( -1), 522327071, 649991130, 909839540, 297742079, ( -1), ( -1), ( -1), ( -1), 48773593, ( -1), 253004694, 932437062, 190113696, 506715958, 648184345, ( -1), 808024357, 320857062, 137528809, 707914179, 801393792, 964969990, 898638177, ( -1), ( -1), 301555694, 91765649, 85877055, ( -1), ( -1), 613679774, 335608594, 822578714, 127823043, 348559670, ( -1), 264673421, 337881263, 972961731, 883380968, 89178697, 491787046, 187892437, 206808414, ( -1), ( -1), 757436471, ( -1), ( -1), ( -1), ( -1), 546994915, 333511152, 464406959, 852974138, 279198141, 9072900, 33748758, ( -1), 853674725, 246477018, ( -1), 640250362, ( -1), 902293565, 322246819, 447487539, 808036052, ( -1), ( -1), 651583364, ( -1), 431140373, ( -1)])," 989012398 (minDifference [956058835, -1, -1, 295614205, -1, -1, 995266271, 253581494, 131516754, 860480023, 538501828, 749077845, -1, 394524711, -1, 128589010, -1, -1, -1, 67633240, -1, 31184951, 809174041, 9503339, 96291540, 684897801, 338180187, 175066083, 717171296, 185420529, 136088588, -1, 80802829, -1, 214223285, 433827257, 431428091, 407629530, 809415140, -1, 124043947, -1, 282417820, 566383852, -1, -1, 582284507, 386757364, 50857967, -1, 48611692, 153042945, -1, 956444996, -1, 108537616, -1, 418427963, 138609487, -1, 90469596, -1, 825094524, 54447104, 212741919, -1, 913533002, -1, 302904812, 383809918, -1, -1, 391522822, 735794258, 960672773, 608205301, -1, 734731250, -1, 187048185, 143875171, 11808802, 223192285, -1, 873764560, -1, 961985727, 273361591, 701452891, 301857047, -1, 137814718, -1, -1, -1, -1, -1, 861901726, -1, 138425992, -1, 530200928, 792682355, 906757528, -1, 482408118, -1, -1, 766274700, -1, 220322026, -1, 295441111, 145236974, -1, 412752660, 261991339, 912970584, -1, 588775682, -1, -1, 256080357, 455150030, -1, -1, -1, 664286988, 457415977, 161724641, 846849378, 962806503, -1, 243643324, 428992245, 397263043, -1, -1, 149820414, -1, 870121691, 877123752, 809460308, 901507790, -1, 679339529, 571218257, 5590904, 860451058, 749290709, 783788631, 967550699, 466938727, 989392635, 6732105, 842290827, 553100759, 589024387, 151891880, 759168198, 971239733, 37393931, -1, 845531038, -1, 234306983, -1, 648121502, -1, 827692006, -1, 210350626, 698413591, -1, -1, -1, 334423716, 16941357, -1, 203521602, 301690139, 285131736, 544378252, 378042503, 96738181, -1, 436801945, 835652134, 986827578, -1, 989003641, -1, 325856870, -1, 606536175, 137892084, 945959345, -1, 384393903, 259430615, -1, 228407363, 125401493, 585632590, -1, 604766365, 473408762, -1, -1, 42731535, -1, -1, 654464618, 724863203, 987426749, -1, -1, -1, 131140581, -1, -1, -1, 368673133, 104660020, -1, 586512921, 569499972, -1, 229940555, 609885978, 949954357, 253285771, -1, 896850430, 864297584, 765049683, -1, 189684217, 975003952, 690467239, 254647888, 815055563, -1, 396636410, 387885239, 261103824, -1, 498412263, 980464656, 821874975, -1, 79948889, 710833898, 145404700, 543002240, 643273424, 89268489, -1, -1, -1, 677590779, -1, 539770788, 895725114, 631040474, 205100482, 745904619, 567896481, 847553328, 561292300, -1, 401566637, 82062148, -1, 106004615, -1, -1, 478979010, 126650796, -1, 102321508, 707394684, 233135629, 873075425, 987639123, 727054174, 748741802, -1, 344340016, 192439768, -1, 514227317, 120626159, 586163593, -1, 455149764, -1, 783422123, 487324559, 243512055, -1, -1, 591796401, 60332288, -1, 900757583, -1, 383843157, 834325985, 821069858, -1, 120165920, 812568950, 18486068, -1, 876164309, 605294843, 21871862, -1, -1, -1, 705487767, -1, 877960891, 548153799, 770863041, 406378422, -1, 786786095, 352774111, 398389609, -1, 898995913, 286276851, 833562052, 890104125, -1, 653456987, -1, 597317027, 450874870, -1, 151794036, 358629422, -1, -1, 410448114, 59423248, -1, 702030660, -1, 661440988, -1, 338106020, -1, -1, 428522479, 7439330, 939248224, 813623079, 626329787, 200330465, -1, 91205263, -1, 707623764, -1, 110593283, 25909410, -1, 664789135, 394624690, -1, -1, -1, -1, 904338250, -1, 550241400, 682874622, 419414505, -1, 689873984, 126019782, 987726894, -1, 215966550, 261925606, 525390026, 669538323, 89508294, 894827566, 535360771, 115970973, 267289506, 58215697, 928593846, 112836061, 699731404, 286328162, 459648192, -1, -1, -1, 634024621, 296004413, 986144934, 787265128, 255280151, -1, 897064636, 945103420, -1, 815711201, -1, 850309841, -1, 150428220, -1, 435933069, 71903154, -1, 565470080, 266970988, 354745628, 979799847, -1, -1, -1, -1, 7999831, 724319635, -1, -1, 389279843, 875619018, -1, -1, -1, 79509399, 847708322, 728515925, 252970176, 134211086, 533560294, 940459428, 731008781, 758656190, 184774933, 423678146, 154505719, 96663238, 346750472, 752527999, -1, 475242144, 633500583, 150312140, -1, -1, 755642536, 519030068, 637596198, 752201974, 162291112, 959701058, -1, 371708603, 118260563, -1, 741905605, 734037701, 635943607, -1, 560624042, 901444527, 562783417, -1, 318250478, 482241554, 125243788, 966862326, -1, 676457116, 576975835, 789232780, -1, -1, 133973399, -1, 173219748, 731659008, 493808703, 151998865, -1, 403558217, -1, -1, 182468163, 652252759, 97596092, 175556922, 472326062, -1, -1, 185945827, 291105892, 79495687, 731663987, 67449823, 662758059, 978791592, 883110175, 652861553, 4975856, 102000676, 200332240, 317030280, 727268407, 184572773, -1, 955438905, 734126510, 436937354, -1, -1, 784593181, -1, -1, 830467766, 658118362, 304797657, 326947558, -1, -1, -1, 325410858, 364951910, 857783737, 79293295, 38921064, -1, 459706393, -1, -1, 437246932, 456093586, 911349036, 974185443, -1, -1, -1, -1, 944116423, -1, -1, -1, -1, 391645989, 85556423, 294000422, -1, -1, -1, -1, 402984422, -1, 952775108, 386884448, -1, 829503766, 819607560, 38604657, 884462837, 18871524, 741345296, -1, 687626435, 751298529, 833247482, -1, 743740414, -1, -1, -1, 325589971, -1, 405422989, 815031069, 955022231, 672001822, 647008544, -1, -1, 901195984, 620892159, 626925928, -1, -1, 826554650, -1, 822475893, -1, -1, -1, -1, 11862375, 618679923, 419055793, 390100205, -1, 193945920, 937210935, -1, 265166053, -1, -1, 660349694, 559523138, 463712406, -1, -1, 52694099, -1, 519412786, -1, 302361992, 932127972, 129628806, -1, 468667974, 435577815, 376781072, -1, -1, -1, -1, 890173073, 190691091, 265838404, -1, 396510313, 869415093, -1, 926679478, 714801347, -1, 307900291, 447715806, -1, 561098934, 586845506, 924193173, 371101173, -1, 751787111, 598422829, 813899029, 471968330, 445770808, 626233598, 937162776, 667332201, 202117492, 408317602, 71920151, 931837099, 863561821, 920450900, 760327851, 229889769, 899397085, 581505118, -1, -1, 285713977, 664831256, 214698398, -1, 424923882, 138346774, 40128765, 408094734, 903779864, -1, 265952218, 507998608, 740676896, 389677726, -1, -1, -1, -1, 60807593, -1, 626372241, 885315927, 639531582, 405051791, 34480130, -1, 266268927, -1, 629057959, 655142641, 139464004, -1, 722416103, -1, -1, -1, -1, -1, 681506656, 45826187, 470476300, -1, 267197640, -1, 384925194, -1, -1, 750221937, -1, 164606175, 309095561, 484510004, -1, 743803165, 328833147, 989035116, 816545109, 277171926, 185866242, -1, 358818580, 69602912, 739500085, 580016317, 377999894, 113035087, 140427532, 380334070, 482548081, 472757731, 971710266, 398011698, -1, 561463231, -1, 619876977, 490385810, -1, 1697820, -1, -1, -1, 316586215, 613644382, -1, 107964163, 944117227, -1, 722311831, 320952985, -1, -1, 590443571, 875752773, 641742413, 75140278, 510833760, 165984198, 601806920, -1, 330087097, 353546876, 447078996, 994286139, 424585794, 830036608, 409084515, 45215094, -1, 237055127, 763484954, -1, -1, 646866517, 400660522, 717898042, 669201958, -1, 826642090, 284709541, 549918772, 988554349, 925118776, -1, 502048249, -1, -1, -1, 868863646, 791850449, -1, 710603672, 156516899, 407802594, 518864321, -1, -1, 958555654, 555790551, 41120307, 86024846, -1, -1, 564192434, 92971232, 435851960, -1, 886643058, 266027573, -1, 294021386, 186668276, -1, 6454940, 596747391, -1, 243648755, -1, -1, -1, 611267055, -1, 402214091, 175457227, -1, 828285820, 159909982, 479842270, 227295568, -1, -1, 600731627, 610595466, 342850191, 51230564, 951893881, -1, -1, -1, -1, -1, 977349424, -1, -1, 914516647, 899473244, 584409080, 349731400, -1, -1, -1, 546873755, 407792344, -1, 730214787, 244802255, 134693381, 194453378, 331791782, 159788146, 385969827, 333438631, 752103665, 940282396, -1, -1, 821381660, 666262750, 271791120, 309110907, -1, 442431057, 911191720, 709240094, 297987223, -1, 358968438, -1, 652740788, 619659297, -1, -1, 363406376, 140937124, 705903144, 533795095, 627790060, 553619508, 602929054, 257026411, 489487369, -1, -1, 222469229, 126412939, -1, 340327779, 536571235, 43408183, 840186457, -1, -1, 707680737, -1, 469200460, 919192044, -1, -1, 328890620, 285922083, 727886636, -1, 690765841, 628307593, 54851870, 289419457, 183064461, -1, -1, 72491958, 901993767, 318148537, 610974953, -1, -1, 193855445, 427679208, 550433484, 344751630, 593203219, -1, 282564927, 313524060, 852520747, 548560313, 178063394, 980543431, 4935149, -1, -1, -1, 222878623, 575343651, 536614017, -1, 252922245, 885722808, -1, 267464580, -1, 221433064, 378029066, 816930338, 468515904, -1, 160690992, -1, 478467077, -1, 520197520, 604743887, -1, -1, 177133552, 867914318, 504788888, -1, 928458243, 425585858, -1, -1, 488695081, 687808842, -1, -1, -1, -1, 25841724, 782946348, -1, 723878271, 278050424, 252291305, 681291320, 549764658, 845698867, 997614317, 715509581, 94583795, 967098394, 650330387, 408852242, 96049443, -1, -1, -1, -1, 95864941, 127897760, 78849426, 415569640, 223400531, -1, 615532196, -1, 990704720, 150945592, 136048106, 586846407, 312831329, 557930198, 634713837, -1, -1, 840898416, 280023430, -1, -1, -1, 848011595, 77874846, 490177724, 424993174, -1, 342441162, 28699406, 362399146, 954628641, 824428461, -1, 385503603, 567467521, 817831097, -1, -1, -1, 458497060, -1, 373319615, 220946939, -1, 855616131, 654118687, 783616810, 957155713, 817654346, -1, 156385069, 424497028, 948918280, 44400318, 326911988, 423321842, 363283229, 676641645, 4744704, 320346029, -1, 636082203, 671905873, -1, 473779765, -1, 483439259, 502742099, 119982835, -1, 52124302, 979994904, 847969025, 410125543, 612601096, 109756081, 402150216, -1, -1, -1, -1, 786039760, 860210059, 869965756, -1, -1, -1, 207958091, -1, 83986292, -1, -1, -1, 616442467, 245100162, 465742153, 936622549, 204007708, 197881245, 529279477, -1, 438819139, 792595411, 842670759, 471101976, -1, -1, -1, -1, -1, 236322890, -1, 418103778, 218420099, 502971189, 77151438, 761636736, 647279950, 237268254, 246802609, 491796652, 439171114, -1, 328972835, -1, 323209472, 603723664, 647076747, 667489602, 483650843, 153389634, 416492656, 775554331, 721238968, -1, 678425749, -1, 820380646, 360504787, 315227461, 103078298, -1, 369151013, -1, -1, 519878446, 552584409, 566755556, 917581034, 93221079, 477174279, 360897222, 137555695, -1, 740861745, 728603973, 394470078, -1, 216226926, 923418398, 706047631, 412066990, 330552878, -1, -1, 592212260, -1, 889426708, 736524069, 517322025, 246051682, -1, 4737575, 408279710, 70515025, 184543831, -1, 317364721, -1, -1, -1, 931957906, 616770047, -1, -1, 482823556, 242197116, 147894048, 967671732, 278671300, -1, -1, 70942401, 691204524, 404743956, 185138692, 310359166, 63139957, -1, 210355037, 996569662, 161692434, 640097470, 667688341, 246186919, 465840510, -1, 618333404, 948252261, -1, -1, 136142256, 484978286, -1, 224762805, 664700897, 318400638, 813154249, -1, 2748515, -1, 798137346, -1, 578304020, 353315085, 36936453, 441037544, -1, -1, 143267257, 344899555, 795987699, 966180404, 484738874, 136217186, -1, 640114707, 338758186, 567677833, 916999916, 70083995, -1, 155627975, 524754423, 960593730, 837831910, 760557834, 782790828, 223395982, 206626572, 633950038, -1, -1, -1, 536540305, -1, 486213781, 351596141, -1, 456564994, 117070448, 325912491, -1, 68052160, 775899936, 317309366, 601659240, 460867319, 698072076, -1, 197662315, 84143024, -1, 649117103, -1, -1, 647282193, 283390263, 917523326, 146729254, 81988922, 3770219, 278130718, -1, 485980933, 46290936, 993334462, 126372355, 774549224, 887488498, 956568831, 770205649, -1, 247506404, 345974405, 473735038, 661107894, -1, 235953376, 309535773, -1, 702976473, 764580504, 906603407, -1, 908279992, 4204554, 808458096, 76433428, 46985558, 878630572, -1, 318726379, -1, -1, -1, -1, -1, 672394096, 477899830, 741793269, 284962961, -1, -1, 562821190, 685863992, -1, -1, -1, 622206941, 775725884, 413730017, -1, 915821942, 418421136, 698313034, 164095250, 492007704, 559664150, -1, -1, -1, 636523706, 254484906, 322094112, -1, 44853103, 103001244, 525905270, 933881641, 601476434, 134699154, 166857235, 630917259, -1, 724755384, 400594786, 516325436, -1, 473629514, 801992494, 713388883, -1, 407943443, 969422374, 717562278, 48040439, -1, 39854149, 30545493, 480185905, -1, 305131527, 971134160, -1, 635188121, 467096731, 774858795, 165451683, 92598182, 205419087, 686592086, 968678958, -1, 235927793, 266014971, 715703221, 356183877, 529460153, -1, 542088458, 573424529, 301102290, -1, 76995223, 665647510, 33808883, 123500308, 465325501, 692035226, 412449262, 539898589, 630793583, 69299703, 24241067, 603774780, 932539766, 316544908, 66758722, -1, 478982816, 536786642, 671714840, 163006883, 915886701, 251956488, 184390910, 59370231, -1, 67000876, 833197814, 266417566, -1, 240520613, 987624668, 653767303, 297464981, -1, 255449398, 224391865, 458268461, -1, 287018071, -1, 858041407, -1, 525581837, 544870302, 301375293, -1, 575556385, 921644334, -1, 251476353, 118369005, -1, -1, 376918369, -1, -1, 65886496, 627929669, 197879888, 667907038, 824959613, -1, 494545221, 705646995, 194997350, -1, 451315479, 919975654, 1462858, 774768224, 562926323, -1, 716997227, 840199345, -1, -1, 598179713, 153687818, -1, -1, -1, -1, -1, 53326092, 226492726, 135425560, 196568045, 581314598, -1, 302320513, 730327921, 543832211, 477387975, 247266767, 385542069, 167719894, 615007892, 206675234, 830895452, 152938601, 323321364, -1, 728797799, 559182379, -1, -1, 330137725, 269622642, -1, -1, 445206192, 39374753, 272072885, 167835529, 805414611, -1, 107411748, -1, 651105691, -1, -1, 24998645, 697082881, 496081016, 138293772, 8637806, -1, 653941692, 427651343, 377401083, 80645607, -1, 600959977, -1, 208019865, 998708719, -1, -1, 530754969, 868084667, -1, 353448053, 147749926, 575054727, 889790901, -1, 583546829, 275121194, 606651102, -1, 650493486, 370983840, 232532380, 385515633, 66591361, 548628444, -1, -1, -1, 239815705, 669204234, 454408596, 847855647, 590959834, 719399606, -1, -1, -1, -1, 658071178, -1, 597538687, 980487486, 864781468, 137486336, -1, 460491646, 226084133, 980100262, 904501709, -1, -1, -1, 294519537, -1, 360829902, 414628035, 494910855, 557143978, 332154252, 841915449, 495374711, 901068398, 94832729, -1, 693956311, 249634877, 283254422, -1, 916498852, -1, -1, 294756656, -1, -1, -1, -1, -1, -1, 360905483, -1, 753794316, -1, -1, 430211990, 678100167, 981537855, -1, 201269695, -1, 476738400, 583856640, 35783846, 648343740, 954851952, -1, 940227126, 544805227, 632632163, 399949349, 479106976, 128051700, 481971328, 90777913, 12035568, -1, -1, -1, 337252984, -1, 369836798, 69642410, -1, 397748192, 652938963, 29560058, 170700734, -1, -1, 28897407, 562911002, -1, -1, 118598184, -1, -1, -1, -1, 704146695, 809115915, 961511580, -1, 276913319, 225839447, 424084683, -1, -1, -1, 246752174, -1, 225816033, 32421688, 746095570, -1, 937527779, 574278315, 214670054, -1, 546308361, -1, 55289893, 251286102, 80992253, 965451062, -1, 647968119, 186612302, 191538648, 643997218, 656234689, 487118702, 969862569, 503783681, 135627545, -1, -1, 934011948, -1, 757779960, 451001576, -1, 227444593, -1, -1, 650878685, -1, 856422135, 804003055, 580899503, 978220852, 390565097, -1, 968434234, 579596576, 714302095, 305538447, 205060682, -1, 809451372, 603035303, 404784508, -1, 733532940, 522316524, -1, 859157743, 268575669, -1, 760536951, 991761216, 456330263, 619883911, 314490074, 375659840, -1, 828575573, 460249283, 824085716, -1, 626808831, 112168656, 281513163, -1, 416658595, -1, -1, -1, -1, 159952951, 411249772, 676253624, 997190703, 855941080, -1, -1, 678335431, -1, 304915116, 620064815, 896782399, 500640039, 281985218, 184300553, 916665765, 689344956, 63514664, -1, -1, 206406252, 144829137, 399805927, -1, 553739864, 149089745, -1, -1, 404266946, 482708787, 267569040, 972893681, 45520241, 13276183, 825298458, 48352007, 188737134, -1, 398550061, 828300686, 162637676, 471143725, -1, 315649695, 725646597, 386302776, 62235403, 749690366, 840316104, -1, -1, 640004753, 876450180, -1, 672356811, 793390254, 271170780, -1, 648298216, 299780291, 950322367, 185450158, 834696174, 631018329, 265968716, 943250434, 271261577, 194621659, 962979330, 132727247, -1, 531697397, 106552793, 813404363, -1, 359623082, -1, 904682566, 110343150, 912747152, 148476598, 737002081, 999089393, 149806802, -1, 979915381, 556738843, 634434152, 435379552, 409384660, 271371726, 311927610, 100784568, 440887165, 164516752, 841742214, 257550635, 952089120, -1, -1, 635939101, -1, 790753724, -1, 119295635, -1, 897695313, 488681061, 942607012, -1, 33497548, -1, -1, 992618348, 322566679, 278161345, 460048055, 451355499, -1, -1, 871203726, 985043157, 661282755, -1, 235912661, 844107311, -1, 23910007, -1, 938766403, 976858392, -1, 395543998, 955471918, 940116162, 242401437, -1, -1, 527040072, 666001986, -1, 91741444, 903909003, 171788329, 733606364, 880936121, 619918007, 74939524, 292167368, 486294047, 221988630, 159471644, 217459117, 298980328, 8726447, 71032924, 587594540, 470734671, -1, 230282550, 43989251, 100049253, -1, 24659205, -1, 238317819, 652467935, -1, 976182027, -1, 537830025, -1, 633438909, 9606242, 462391353, 487007358, 66044651, 758701344, -1, -1, 135241573, 582447379, 600884658, -1, 214380174, -1, 942198674, 278771300, -1, 64884211, 776210191, 981193352, -1, 172283590, -1, 768325209, 345175697, 647670244, -1, 472957080, 89108722, -1, -1, -1, 892158184, 42566373, 862031168, -1, 539302191, 825364954, 720490711, 595086351, 307038733, 18969037, -1, 870308391, 735291763, 893696221, 771493313, 102891354, 361376977, 859217098, -1, 228191820, -1, -1, 788437796, 445453480, 490773643, 659694081, -1, 146655667, 444874243, 425829128, 849071392, 496020118, 634084812, 668372180, 16635220, 635632360, 982573730, 899606468, -1, 690435767, 747373419, 91232105, -1, 145187123, 130056695, -1, 942883298, 141646168, 195593430, 584483435, -1, 451446594, -1, -1, 171628321, 441075660, -1, 899542287, -1, -1, 13405349, 742838147, -1, 629944483, 191293143, 124625957, 587483520, 336217933, 994630473, 385838925, 444158685, 985409864, 311459471, -1, 129342812, 25619714, -1, -1, 944652020, 429698002, -1, 990379266, -1, 722152971, 546495882, 661406812, 543881773, 412617817, 287058750, 247964784, -1, -1, 918420970, -1, 637687593, 253074734, 939815136, -1, 659184648, -1, 778281881, -1, -1, 871826076, 219370093, 545269819, 255618713, 548085402, 914058607, 461051057, 306872311, -1, 561904034, 896371953, 444898621, -1, 206090867, 504427558, -1, 130765631, -1, 920872203, 432467498, 441150833, 528198598, 869647381, 721304112, 560344395, 698461866, -1, 459418743, -1, 639937413, 259037443, 886254368, 383864766, -1, 649484371, -1, 70086960, 159999941, 95183225, -1, -1, 79382296, 994825197, 732208256, 374404800, 801814065, 876351191, 251487973, 940451831, -1, 59513881, 201241353, 359126309, 714459594, 755283782, 889833225, 72983462, -1, -1, -1, -1, 96591889, 342896448, -1, 376477039, -1, 350547447, -1, 650924593, 609571025, 483376789, 847160723, 379519929, 482658658, -1, 404026236, 181923527, 898991927, 650987373, -1, 23270161, -1, -1, 807942022, 1734442, -1, 535354729, -1, 537419306, 803611696, -1, 283574982, 423646395, 135806139, 642076627, 861306081, -1, 889850823, 555472456, 7393322, -1, 583468654, 763769369, -1, -1, 586754926, -1, -1, 255911455, 715679366, 284399254, 287364213, 664013456, 116618762, 949177716, 645489061, 368177346, 462137589, -1, 944594685, -1, -1, 923834609, 482702514, 521200120, 886015717, 939494678, -1, -1, -1, -1, 748900644, 547488751, 677298447, 366740327, 810316710, 756668041, -1, 610521399, 488747665, 154423304, 918499517, -1, 779628403, 615380946, 130302902, -1, -1, -1, -1, -1, 517281811, 909783083, 970215541, 21183027, 832868033, 94469952, 432493815, -1, -1, 709719741, 19609353, 904558569, 650919972, 728125757, -1, 371540476, 767082497, 151924149, 84220827, 501958621, 914007403, -1, 167283200, -1, -1, 978623662, 591402038, -1, 104924966, 329966132, 851245633, -1, 475869916, 274492655, 31845542, -1, -1, 332300373, 563501879, 478157932, 741596063, 79898213, 570695539, 678027934, 100661282, 909038749, 758228649, 689549750, -1, 402965562, 569275166, -1, 366034212, -1, 951849333, 243524648, 882614680, 797574082, -1, 227967527, -1, 916043484, -1, 844166544, 181340038, 723244308, -1, 819980812, -1, 220231566, -1, 80204260, 692239263, 90931085, 941437231, 529067087, -1, 678555839, 999250403, 30761016, 858158343, -1, -1, 145855776, 745705668, 889809706, -1, 988964057, 522113155, -1, 183891216, 14321376, 181688368, -1, 142963766, 973471555, 79242760, -1, -1, 836847883, 148542713, 979049294, -1, -1, 381660607, 458172359, 478479120, 413737613, 990776635, 324344795, 523493606, -1, -1, -1, 95778325, -1, 531313271, -1, -1, 124341520, -1, -1, -1, 572934790, -1, -1, 872871337, 919182277, -1, 420413379, 27377048, 211056187, 371038120, 378594892, 879850624, 212030304, 134396590, 687794286, -1, 456386811, -1, -1, 342234184, 623633649, 607320218, -1, 205255021, 382894094, -1, 58186888, 972844585, -1, -1, 867503677, 738287554, 503949831, -1, 302378523, 110969083, 531236112, 494351322, 145025244, 342002084, 188792072, -1, 404286361, -1, -1, -1, -1, -1, 406278254, 95119173, 63160839, -1, 346063967, 636301326, 53817282, 27005458, -1, -1, 81266065, 326267074, -1, 359724811, -1, 227959025, 502217968, 782455832, 311888796, 842246252, 136286902, 984683782, 362173548, 54812775, -1, -1, 766945118, 624960791, -1, 878388482, 166028985, 370730303, 351262775, 83203538, 888558705, -1, 71916152, 736451528, 923912350, 31910242, -1, -1, 366437854, 778108842, 624292287, 723896858, 571388053, 658340259, -1, 464324116, 562901194, 181437732, 316843560, -1, 694519644, -1, 862879267, 379722388, 701624362, -1, 197168507, 511640105, 451672337, 529810876, 729099590, -1, 987260794, 291711071, 51429160, 195332365, 235087930, 45154172, 773583146, -1, 831856468, 184904884, 660680318, 22486427, 739601041, 247447847, 463428064, 125873904, 977192424, 170379846, 133100026, -1, -1, 520320597, 35840653, 231961982, 543348828, -1, 240395815, 516209165, 482804077, 386725642, -1, 34727415, 14513526, -1, -1, -1, -1, -1, 952051104, 503330092, -1, 149845991, -1, -1, 767937716, 58754344, 713339250, 321607971, 30071630, 992864626, 223316676, 160949930, -1, 44379367, 596645449, 436410909, 859563773, -1, -1, 799405249, 727437439, 679465178, 694853813, 201487340, 750281809, 766237790, 749957078, 590159290, 694786008, 658170385, 285399712, 791788169, 844813935, 136178600, 551966114, -1, 73692250, 383023253, 414328853, -1, 975597459, -1, 798710408, 794583202, 889696348, -1, 921353005, -1, 139693897, -1, -1, 764479768, -1, 680523853, 356345030, 89322403, 225844841, 44474322, 515387763, 349462821, 713303741, -1, 276895988, -1, -1, 249771719, 951422850, -1, -1, 249516631, 418459709, 452961008, 67139580, 863595906, -1, -1, -1, 857535213, 346105287, 236892116, 155061949, 443072582, -1, 178102550, -1, -1, 850741927, -1, 613137576, 391198131, 19007556, 398920714, 898217675, -1, 428257672, 785346819, 403037727, 884271224, 458153286, 561396499, 12568322, 872559281, 252984040, 165936010, 550844915, 901971896, -1, 36916119, 226156907, -1, -1, -1, -1, -1, 44903080, 986674710, 888540547, -1, 652018343, 302481991, -1, -1, 625974736, 716278462, 670940876, 354951753, 924331216, 232089621, 750648299, 83082329, 978411422, -1, 50549628, 75286613, 918051445, -1, 659515998, 512333699, 901795500, 22598002, 868382764, -1, -1, -1, 871601593, 745201712, 267140957, 218956772, 819876073, 709641109, 860858828, -1, -1, 533296003, 252300119, 75765062, -1, 940377808, -1, 460635638, -1, 47464826, -1, 726132604, -1, 633329177, 809034537, 211215524, 445115429, 268361462, 48024611, 992901347, 143670449, 308306930, 296308479, 288436175, 19268985, 851729660, 515720382, 600207832, 54258672, -1, 946278934, -1, 318076281, 383551714, 930750554, 530297644, 173344156, 937014827, -1, -1, -1, 993598302, 259372815, 736047641, -1, 924046768, 167784927, 73164124, 349721845, -1, 497555088, 459715687, 320673688, 489651631, -1, 860553242, -1, 940825784, 643560961, 39968185, 754125617, 283464138, -1, 946806225, 373911063, 547007841, -1, 579446500, -1, 109154544, 443458, 348556031, 119242473, 264399718, 202768994, 931486347, 288005225, 264905981, 872240764, 903255288, 443978613, -1, 802508199, 444007077, 679882162, 351439697, -1, 47368857, 24299733, 584088697, -1, -1, 770169767, -1, 988589932, 914760785, 616597905, -1, -1, 595289114, -1, -1, 495089136, 500347631, 960742209, 640909010, -1, -1, 660884346, 412134029, 843649622, 516648909, -1, 960632548, 548356798, 133986823, 877587462, 385822513, 594343938, 426833264, 179796142, 739780718, 110686907, 993303501, 938327948, 205150753, 535510769, -1, 305441665, 676876562, 784229222, 461045976, 699195376, -1, 76996735, 594231655, 578764314, 355283550, -1, -1, -1, 421462347, 439093115, 612108778, -1, 657015668, 575738665, 196713464, 849770018, -1, -1, 77399916, -1, 696805590, 754490354, 932197836, 38642686, -1, 366705922, 98927172, 118983126, 912658893, 769513996, 327966415, 517984180, 779375779, -1, 706928461, 117333908, -1, 77334055, 656068842, 689915979, 665367431, -1, 216972409, -1, 723986065, 318040714, -1, -1, 956745152, 126272887, -1, 601718117, 985920790, 136936430, -1, 861747966, -1, 551431648, -1, -1, 78950173, 674642470, -1, 17621114, -1, 840667727, 661637163, 285252178, 235058475, 377244388, 786140717, -1, -1, 945355173, 691071228, -1, 459529716, 110270536, 465544607, -1, 608561487, -1, -1, 449311662, 676486502, -1, 94798479, 47731268, 492048243, -1, 374123453, 151390930, 430044610, 547299605, -1, -1, 308310614, 869554793, 840600294, -1, -1, -1, 383675290, 841579108, 639582886, -1, 586447898, 499940917, 317825257, -1, -1, -1, 426572463, 746185459, -1, 11836000, 202787785, -1, 900176603, 608211459, 193916809, 331746168, -1, 655185727, 92158690, 722862062, 105996786, -1, -1, 129096374, -1, 950983468, 463990279, -1, 813534850, 956665694, 654657559, -1, 551040544, -1, 849968513, 477059504, 908698946, 80519878, -1, 621512784, -1, 402446043, 471162442, 24182312, 643105015, -1, 205103986, -1, 896560470, 767586841, 714945917, 145746885, 263307142, 571992246, 179235401, 222244701, 840072900, 422281047, 463147177, 46315753, 349908169, 453936818, -1, 369132438, 38182090, -1, 779647802, 863660910, 304840775, -1, -1, 108338085, 702527996, 96931181, 593961692, 141178464, 857235024, -1, 477255083, 411588724, 276652336, 712758659, 911618232, -1, 911931085, 379109475, 413118324, 935181578, 86194622, 594461261, 831188423, 575223378, 345980676, 481184908, 888964660, 343698599, 188502861, 448368001, -1, 567897995, 511114958, 138644778, -1, 308513517, 667511611, 172292781, -1, 602174966, 684969489, 398549905, -1, 405797317, 294425352, 341749361, 994621494, -1, -1, 149852446, 831005024, 555175692, 355090508, -1, 782566828, 760067546, 177149314, 842940882, 913193275, 177380342, -1, 585488470, 209859406, 100232059, 559901477, 965349167, 954787827, -1, 629009238, 534393399, 577925239, -1, 106941299, 241312005, 704122507, 577907108, 882926315, 372575383, -1, 430204148, -1, 287461999, -1, -1, 467416750, -1, 454246213, -1, -1, 316954381, -1, -1, 584343053, 421717130, 3767089, -1, -1, -1, -1, 538039742, -1, 769089301, -1, 180048914, -1, -1, 748046392, 783494219, 879053011, 40640155, 895980539, 105515915, 514055243, 565584070, 950094930, 819915783, 526671409, -1, 462817374, 191078588, -1, 269444660, 162134039, 961838128, 758723824, 725902749, -1, -1, 597614043, 691235597, -1, 542648598, -1, -1, 180035124, 700972383, 491208227, -1, 130675956, 740821537, 440571331, 923729930, -1, 274002214, 896089691, 358377910, -1, 100878684, 73198397, 263981836, 333528683, 798120556, -1, -1, 837404499, 105169439, -1, -1, 277763799, -1, -1, 243121900, 143831710, 855348443, 316294200, 665029335, 727921763, -1, 163146532, 807144447, 471221667, 803177683, 436163663, -1, 929600502, -1, 116977134, 644030663, 58062964, 254022528, 926212321, -1, 551656292, 491842524, 684680591, -1, 655965042, 418155321, -1, 986146900, 862618511, -1, -1, 464320544, 819275830, 371762668, 923350296, -1, 417867979, 245485141, 514680760, 581540219, 207713285, 620985256, 570390164, -1, 225601257, 819136266, -1, 966090812, -1, -1, 178135884, 634356355, -1, 667486500, 368883231, -1, -1, 403152891, 147234722, 562611931, -1, 410200059, 153650027, -1, -1, 774032098, 978221544, -1, 226677300, 447160412, 258136296, 102841306, 242439027, 587205219, 366689726, 13246910, 653409172, 948840929, 853387053, 10406011, -1, 393621867, -1, 206657941, 292267398, 607361405, 397866244, 535527572, 687670283, 803787031, -1, 689674032, 866902540, 834821634, 377178263, 797649994, 12003141, 326424288, 942120066, 758908228, 881774680, -1, 834474291, 255718900, 510273007, -1, 646262308, 713648127, 721833802, 656194162, 697494187, 496463891, -1, -1, 15760108, 783710921, 973472886, -1, 717796742, 823414027, 324927409, 462412232, 231547085, -1, 334671030, -1, 221043261, 935106169, 964452401, 759188569, -1, 333832516, -1, 222801305, 999472875, -1, -1, -1, 53017462, 38465176, 703170848, 677125199, -1, 76868244, 620441451, 650916419, 421996195, 971280639, 798673745, 314328142, 541946014, 546718420, 647782230, 831673246, -1, -1, 552599383, 586628663, 103611508, 596482165, -1, 574740203, 504802989, 562747641, 386505308, -1, 576658056, 923752028, 996801271, -1, -1, 130049091, 80815239, 897885333, -1, -1, 77683319, 4666183, 564798188, 777422800, -1, 786524117, 392902670, -1, 319535189, 125010177, -1, 603162092, -1, 145994830, 445518484, 467048735, 951570595, 509583220, 953628190, 94638029, 372617053, 721015961, -1, 735229578, 170339341, 300425415, -1, -1, 521410849, 967256290, -1, -1, 565957693, -1, 373290971, 413375401, 652779848, 154004153, 667346721, 108514349, 294270310, 298557939, 269125889, -1, 422135248, 325618962, 152531519, 364266049, -1, 538687234, -1, -1, -1, 716325288, 791402014, -1, -1, 878653537, 699659741, -1, -1, 922590723, -1, 860706579, 826721381, 825120787, 496809274, 127995044, 333160162, 241530460, 985868064, -1, -1, -1, -1, 766788240, 272848124, -1, 265896722, 157131340, -1, -1, 983139910, 420357229, 858398948, 369294409, 676156200, 55223326, 105286599, -1, 711016628, 742287289, 386368121, 86933032, 277510477, 210069211, 339021894, 902486928, 654181376, 637416799, 323650300, -1, -1, 627646403, 984014635, 290143736, 121168062, 230663540, -1, 214982027, 955864572, 232669257, 4945567, 178382235, 275024254, 733707730, 901363534, 303911296, -1, -1, 921954573, 799394179, 243806047, 120028719, -1, 848290131, -1, 616946891, 179753660, -1, -1, 143160175, 511907534, -1, 552005215, 748168059, 225237548, 135489855, 626867191, 94408464, 497686151, -1, 227788882, 311806107, -1, 948649041, -1, -1, 799963751, 652826840, 87720401, 732946712, -1, 280328718, 939188853, -1, 215806547, 846773041, 392060629, 138995134, 960579866, 360985977, 188170230, 650978910, 275598588, 762022242, 683589978, -1, 642917765, -1, 654264187, -1, 94114732, -1, -1, 509666781, -1, 922974702, 279638896, 90003763, 613235854, 880647009, 74217290, -1, 882030561, 25816609, -1, -1, 727009626, 464287465, 333242198, 822541774, 441115297, 334947191, 789635457, 658858896, 84077206, 219924315, 658846567, 413185464, -1, -1, 180942922, -1, 860553210, 970203033, -1, 203239447, 410483759, 80024320, 643571979, 318262995, -1, 716117875, 775617099, 401083445, 238844261, 363459119, 250252798, -1, -1, 601758115, 949780109, 906955966, 32215513, 851389100, 197535593, 507023992, 29040945, 754968612, 908738004, 234355257, 481300226, 705901055, -1, 727730564, -1, 238660084, 166582732, 513457617, 408316837, -1, 824022596, -1, 718461808, 297702184, -1, 557108532, -1, 402276635, 680920059, 196755819, 648032339, 386762603, 998917399, -1, 208421788, -1, 414191213, 631567953, -1, 970667089, 492209318, 787530603, 882794894, 532576268, 455187747, 182561418, 550416360, -1, -1, -1, -1, 548092105, -1, -1, 647791695, 436005614, 71016674, -1, 588946613, 705757332, -1, -1, -1, 691667834, -1, 190806319, -1, 950021974, -1, -1, 590504036, 657150139, 311615192, 748850567, 959896608, -1, 837230064, 145221905, 567634701, 295400243, -1, -1, 679504134, 250408706, -1, 484307216, 437374974, 170265114, 197366068, 789121343, 962538765, 656882009, 660482242, 444397815, 653187440, 335903323, 832823112, 44717152, 123640242, -1, 800992522, 716968713, 614424095, -1, 924886338, 111325947, 224759290, 606578016, 889022610, -1, 363611229, 318917271, 647077221, -1, -1, -1, 892844994, 182631773, -1, 620305274, 602869464, 298410378, -1, 778015623, 587593402, 989789547, 638701183, 463384775, -1, 454505093, -1, 620704793, 908823847, 271861689, 307182385, 172631305, 202119630, 469271921, 271057083, 766030898, -1, -1, 6342126, 464173592, -1, 743473772, 930376031, 163612775, 749429237, -1, 875219372, 486712823, 938121431, 97578277, 171733021, 304554414, -1, 753705675, 884317743, -1, 557910428, -1, 741741053, 44085855, 793001989, 216807241, -1, 561961838, 536679941, 190126024, 611729363, 912521046, 300044668, 783581487, 455515630, -1, 20397848, 249480935, 354206368, 721374052, 87041117, -1, -1, 150180419, 420097644, -1, 97900998, 411614643, 795731971, -1, 139107319, 825049756, 661527524, 484333761, 304399066, 552598805, -1, -1, -1, 836093554, -1, 372680263, 415249585, 153957516, -1, 366184616, 548618881, 247271223, 614220216, 289705194, -1, 424496556, 618347547, 66220777, 451718435, 39753154, -1, 965247587, 186272884, 937556671, 343736969, -1, 41968651, 876338510, -1, -1, 664539, 227376418, 669770742, -1, 81070280, -1, 635230933, 292875901, 617900544, -1, -1, 637691748, 636645122, -1, 842777935, 320472031, 381143109, 193224303, 276762050, 571385177, -1, -1, -1, 125705609, -1, 501901867, 922572721, 902279166, 562858453, 195961142, 691374633, -1, 283532506, -1, 383444623, 993761057, 258088905, 343545495, 492781873, 7875948, -1, 755792197, -1, -1, 623257176, -1, -1, 264637380, 93472306, -1, 472456921, 684826604, 286369359, 870151970, 809972016, -1, -1, -1, -1, 248677622, 120850809, 583863039, 629094153, 503454324, 883095215, 408039040, 470828130, 927670684, -1, 443591683, -1, -1, 853177450, 675183187, 911108045, 19365574, 268665489, 786102682, 837662300, 945966726, 465347952, -1, 111236856, 502067183, 515739938, 516980132, -1, 778591138, 423069161, 158050282, 734273345, 66702969, 280174014, -1, 232393615, 46743210, 706619399, 903272878, 943463284, 623706227, 339936324, 932415443, -1, 959885136, 696082105, 839937203, 142415840, 985721805, 397601016, -1, 469464798, -1, -1, -1, 891208873, 204489352, 920116888, 36329907, 381574684, -1, 124447826, 648588801, 462640403, 115512777, -1, 195995199, 566886656, 713974995, 246872550, -1, -1, 56408717, 821564736, 861568537, 353303200, -1, 454990281, 585935819, -1, 92369486, 476115068, -1, -1, 300820626, 652602235, 545086550, 387337547, -1, 734097367, 883991633, -1, -1, 519028368, 125019054, -1, -1, -1, 332536212, -1, 126542627, 555467175, 81246780, 598947399, 820211485, 651730740, 293122864, -1, -1, 851219933, -1, 773936614, -1, 203517135, -1, 711974420, 797569814, 114221185, 647432692, 158434234, 833342770, -1, 316172238, 892974605, 354588970, 742586428, -1, -1, 497942714, 757190318, 962808607, -1, 605238398, -1, -1, 642355113, 734226821, 602545210, 930203011, 546877033, 382369574, -1, 764764323, -1, 623144644, -1, 471369123, -1, -1, 308041432, 371852907, 811382467, 812976695, 296327787, -1, -1, -1, -1, 957800290, 657596913, -1, 621941787, 42199597, 104241545, 493542065, 299944316, 56575982, -1, 441705356, 945700170, 467619501, 941773347, -1, -1, 464774021, 15557498, 778091345, 548598818, 768964240, 276169343, -1, -1, 171908052, -1, 738906131, 86122009, -1, 506367026, 871245879, -1, 172765169, 233369830, -1, 558966039, 211538235, 378813206, 920208931, 798470218, 741478625, -1, 513735971, 543362716, 497443842, 789934147, -1, 840381709, -1, -1, -1, 837612098, 254319829, -1, 844232033, 734271361, -1, 714338533, 263997069, 347368305, 331246111, 971590807, 615150711, -1, 480056897, 864434302, -1, 845457491, 771054989, -1, 471153604, 266842864, 288309211, -1, 140124305, -1, 759910910, 888237628, -1, 950551110, 942996916, 316117266, 156791421, 938123254, 543946063, -1, 266989181, 362484590, -1, -1, 692328115, 265272878, 838375520, 8213990, 353039296, -1, -1, 21597996, 934499766, -1, -1, 90110228, 8467323, 978437964, 437571870, 791925247, 188222344, 341042994, 386897253, 967092483, 716166897, 862900040, 311192577, -1, 338390428, 378505480, 849429592, 890614251, 982724535, -1, -1, 301346843, 302860765, 159033466, 379650368, -1, -1, 789717470, -1, -1, 358212395, -1, -1, -1, 655438452, 794133582, 107194889, 367794025, -1, -1, 207225481, 338948455, 996875142, 13060809, 896420994, 918604154, 494464045, 703899543, 423758860, 898032713, 741511513, 838845049, 12858172, 485801105, 650354737, 532033837, 483010288, -1, 57301853, 14959725, 817984467, 179381052, -1, -1, 730332626, 703225248, -1, -1, 962651901, -1, -1, 660744971, 702159509, 967893248, 481619450, -1, 521298384, 995574660, -1, 710322738, 978120428, 285920120, -1, 173710415, -1, 674991673, 166311356, 58082174, 397182489, -1, -1, 555404474, -1, 885950524, -1, -1, 956077144, 52088295, 866250289, 294050707, -1, 92241999, 874658184, -1, 570670383, 523740139, 292097214, 930454749, 918568748, 733432175, -1, 267633885, 689126423, 880111201, 947132236, 970547133, -1, -1, 520734913, 339713815, 711072758, -1, 441143252, 649853315, 544274923, -1, 991715714, 310336266, 125777051, -1, 556083164, 893630132, 965086207, 364276401, 33549874, 352358561, 911028936, 185497902, 135666735, -1, 782067879, 798192022, -1, 189740918, 393276544, 875648318, -1, 781061334, 548631368, -1, 841310282, 956744011, -1, -1, 421031174, -1, 559561087, 66769737, -1, 575038405, 581968816, -1, 46051383, 363923310, 784350659, -1, 873652897, -1, 430292014, -1, 16718015, -1, 185887782, 976832665, 962911134, 525447017, 271185322, 171088596, 683059825, 678615941, 534757352, -1, 71948113, 350094262, 996944415, 640103059, -1, 245454436, -1, 180474839, -1, -1, 355475391, -1, 619023981, 776106654, 242902565, 139115744, 216200792, 257245372, 658791045, -1, -1, 252085046, 24920183, 653756060, 301359390, 159498789, -1, 117134007, 298812800, 390102827, -1, -1, 539533316, 812669721, 42762712, -1, 831726063, 791396008, 808291994, -1, 339665735, 298684454, -1, 272237011, 477801193, 911941323, -1, 344765595, -1, 68210591, 800490216, 462309717, -1, 359386164, -1, 991633005, 3041571, -1, 307530937, 334209256, 785236453, 926942752, 248183921, 550988784, 896376415, 645864134, 272214110, 117816840, 47631699, -1, -1, 569931526, -1, 916655725, -1, 750235773, -1, 412104374, -1, 800090949, -1, 740605473, 818503405, 108573398, -1, 756258553, 203512989, 137475703, 185413471, 240697186, 498249630, 565590892, -1, -1, 634747612, 564849751, -1, 173453970, -1, -1, 293564084, 242247340, 110536428, -1, 862573018, 735204927, 625451431, -1, 466434579, 314507540, -1, 517300959, 563271120, 175429934, 728917626, 567374423, 504918398, 756978688, 967294586, 144239794, 456029469, -1, 277558531, -1, 648349672, -1, 967914144, 151966644, -1, 615553675, -1, 879845991, -1, 962164656, 775511338, 918511639, 874372918, 886892098, 359690479, 135117242, 883466175, 992821516, 734782005, 353219075, 484981802, 869009813, -1, 236270758, -1, 971767773, -1, -1, 879926713, 671438101, 921397778, 77439991, -1, 887516057, 362354463, 800856973, 329570986, 72776916, 713986158, 589974778, 761306798, 273860008, 180218104, 949519673, -1, 214745936, -1, 523672555, 620228378, 474251745, 991401011, 211363282, 209312828, 715582905, 477338408, 520861032, 948070745, -1, 43436728, 521138788, 689721799, 477181229, 248841921, 568019521, 975812893, 568515570, 174027200, 82000837, -1, -1, 858743476, 954928509, 261883986, -1, 851040029, 774390914, 686199355, 387436743, 73708175, -1, -1, 110690670, -1, 78365125, 802125823, 634304817, 65053093, 430974392, -1, 901767849, -1, -1, -1, 800806349, 226046784, 564602990, -1, 867342523, 33112175, 364064604, -1, 217725895, 264417258, -1, 171450646, 207783795, -1, -1, 338888796, 398072393, 14601055, 240972204, 687606698, 986016913, 799450543, 98163948, 853534767, -1, -1, 559661220, 546029522, 625717621, 707528394, -1, 510776903, -1, 973106856, -1, 504045147, 438058873, -1, 141319876, 265864945, -1, 502318119, 617181742, 458159808, -1, -1, 565023303, 503478478, 387704039, 881958529, -1, 980454934, 210705346, 733531070, 328753667, 241805483, -1, -1, -1, 33989843, 15869291, 924184293, 997237614, -1, 630788384, -1, 27883291, 401653291, -1, 118480965, 970353002, 674208720, -1, 304350768, 28547249, -1, 816770224, -1, -1, 387132735, 237159247, -1, 812129536, -1, 286274696, -1, 978628483, 964701755, 499852333, 461918057, 95543893, 701055842, -1, -1, -1, 757248508, 950377102, 631011023, -1, -1, -1, 846668898, -1, -1, -1, 467937556, 267679870, -1, -1, 934450831, 766876524, 366926875, 203644048, -1, 579141649, 35474129, 800017190, -1, 607749411, 617063781, 911772884, 513466448, -1, -1, 80404828, 839131892, 669475939, 577228273, -1, 407436916, 230598938, 131500866, 917370652, 39246769, 363430054, 878440824, 48950114, 412648323, 283334207, 876166645, -1, 6011096, 451905905, -1, -1, -1, 773600161, 59234716, 252664369, 869514366, -1, 165523624, -1, 656486604, 537652804, 986989845, 135649757, -1, -1, -1, -1, -1, 371616420, 355244528, 386027457, 545501524, 347441472, 415298305, -1, 437525897, 721228507, 552328789, 632978185, 272393567, 145359182, 65406436, 464467915, -1, 681943233, 414960631, 253051019, 315216933, 770738363, 762366245, 113078074, 938307489, -1, 334431358, -1, 807295849, 446174950, 275593782, -1, 622292489, 676267862, 861731424, 627043399, 629187454, -1, 792688568, 217265827, 235786454, 697854674, -1, 294156619, 512014147, -1, -1, 369609335, 315341517, -1, 31403795, -1, 441515345, 886278195, 398681535, 904941884, 16437217, -1, -1, -1, 739161423, 38580667, 325991554, -1, 992547084, 733693207, 47715771, 408857465, -1, -1, 634251057, 413065255, -1, -1, 165140634, -1, 880218144, 747962667, 905380263, 550849608, 140836195, 396065862, 582069752, 356313865, 419372567, 29251725, 969524228, 549782461, -1, 532435205, 347663402, 15119395, 235821136, 580549123, 329219392, 321346442, 385408670, 759125852, 374830108, -1, 102603159, 121996720, 751523762, -1, 959184476, 300125394, -1, -1, 132999275, 337393999, -1, 658776851, 655341405, 215296717, -1, 634751991, 968046596, 890983460, 446454832, 631899725, 985004906, 666822832, -1, 636041545, -1, 34752783, -1, -1, 90293754, 11807275, 848874633, -1, 460843786, -1, 573897122, -1, 303860756, -1, -1, 221425663, -1, 926098208, -1, 576443108, 731411023, 457513556, -1, -1, 300788303, 788239392, 852784129, 948128797, 994781786, -1, -1, -1, -1, -1, 499194293, -1, 613982044, 933528069, 460566459, -1, 877936257, 397229794, 863403030, 973223670, 795550886, 995447558, 985578468, -1, 805388709, -1, 657118455, 676172678, -1, -1, -1, 951717308, 577440193, 606379105, 369649325, -1, 393854916, 321184465, -1, -1, 692203794, 563645509, 126302069, 632281506, -1, 626297515, 32158388, -1, 619170421, 154736562, 316184400, -1, 120077616, 524775441, 585831177, 626165078, 560447095, 941563984, 99131465, -1, -1, 40277309, -1, 433356820, -1, -1, -1, 213781564, -1, 877343132, 407891429, 343711703, 612784040, 59102285, -1, 602281170, 523206089, 667125211, 711774170, 731401519, -1, 428752871, 256156575, 560900519, 187305653, 19962154, -1, 516745203, -1, 744679997, 954880026, 496035547, 938224587, -1, 661700637, 717948920, -1, 2931740, 141349979, 138256901, 702625860, -1, 134279523, 684925360, 405300010, -1, 773183913, -1, 465253539, 124610530, 943661621, 320443688, 636159177, 605668438, -1, -1, 492461190, -1, 51177390, 322539303, -1, 58908056, -1, 709311612, 419868172, 425656020, 12828154, 401314547, 855371212, -1, 594932434, -1, -1, 806137170, 31045674, 572100521, -1, 291196124, 689518656, -1, 338253930, 952296370, 964043531, 309859659, -1, 481198484, 879616676, 530918940, -1, -1, 537476212, -1, 352624626, 61523877, 165309301, -1, -1, 41927730, 256404793, 197209864, 120795200, -1, 353063487, 619399680, 588000189, -1, 964993584, -1, -1, 839425344, 768486276, 548325015, -1, -1, 304954990, 718433797, 838501213, 208274469, 402390569, 966209206, -1, 3000808, 886251342, 346157017, 215332525, 102594236, 985533056, 318912255, 194392750, 588033335, -1, -1, 890986249, 119101157, 936088987, -1, -1, -1, 17909158, 54075365, 403886949, 145901004, -1, 554073285, 642051039, 840008955, -1, 163093733, -1, 475382423, 896792033, 364507903, 475987678, -1, 745411532, 763762886, 676525108, -1, 33987466, 625253274, 118994310, 438513426, 819978412, 556339513, 368627194, 890136592, 283034362, -1, 107730756, 728328595, 570642184, 902421228, 505668239, 344842839, 134008476, 869416217, 114261298, -1, 665810362, 726859436, 899781286, 493590160, 518954017, 798898539, 957915308, 225105679, 791732587, 332293098, -1, 904411443, 263685996, 38681625, 782544155, -1, 748878312, -1, 694499119, -1, 785986497, 203368027, -1, 683407402, -1, 442031397, 733687643, 117814113, 290835263, -1, 279004106, 940673575, 699328089, -1, -1, 894651442, -1, -1, -1, 247251224, 120954416, 947022567, 857266719, 571284174, 168286131, 573469596, 92414285, 808074145, 267935547, 412355816, 222112178, -1, 638654959, 799599287, -1, -1, -1, -1, 231946932, 246746218, 602264643, 612671368, 373005123, 33242126, 242806307, 755602816, 369381462, 203523846, 889994316, 960067323, -1, 532135964, 810194468, 835159289, 741605783, -1, 467483957, 565960730, 960469148, 403258189, 566443707, -1, 474341013, 302418886, -1, 244321285, 274985772, 848779724, 846756241, 717550607, 919901745, 884729272, -1, 667883518, -1, 738694570, 317976845, 704905888, 500948077, 510960650, -1, -1, -1, -1, 573689511, -1, 162023447, 895384483, 30684788, -1, 597397409, 425472754, 841883964, -1, 270208529, -1, 349990648, 648521624, 376273200, 247802071, 581899718, -1, -1, 50571145, 749606608, -1, -1, 269277282, 331784944, -1, 264265403, -1, -1, 10267127, 774152548, -1, -1, 351384951, 123087021, 908719414, 165939273, 650843792, 85266481, 925596242, 156865361, -1, 891062466, -1, 299458686, 402027288, 261578335, 155188125, 339154412, -1, -1, -1, 515588079, 716688659, -1, 562680926, 262525146, -1, -1, -1, -1, 554896217, 508373334, 127239060, 457334633, 324586085, 558609760, 905963606, -1, 799634765, 139253231, 698091989, 528496274, -1, -1, 903914248, 87525880, -1, -1, 899466800, 82756141, 666228845, -1, -1, -1, 744553549, 85443369, 175246599, 832796029, 944963873, -1, 498452680, -1, 467017006, 487631558, -1, 947631375, -1, 398350980, 1551058, -1, 305447197, -1, 432881327, 669254333, 727603505, -1, 797203783, 657357547, -1, -1, 149967159, -1, -1, -1, -1, 361540417, -1, 584391806, 29067317, 482498222, -1, 92096354, 577498581, 792108737, 281529828, -1, 633175760, 420999495, 232647418, 500281129, -1, 927191327, 749122331, 52032439, 477179823, 36928608, 190595068, 333818505, 68557263, 759592845, 684470757, 405178364, 851178501, -1, -1, 826701117, -1, 716154572, 696670755, 678003322, 879072401, 563567599, 510718969, -1, 167831374, -1, -1, 545726545, 179727784, 194160969, 664363602, 574021846, -1, -1, -1, 605185413, -1, 462374529, -1, 702948676, 123773690, -1, 441948355, -1, 158561556, 601279951, -1, 32071907, 536451356, 554735432, 409099956, 420799375, 582441041, 53209036, 569750589, 725653593, 724207096, 846918566, 134373614, -1, 485612390, 711777165, 129572166, 70898675, 944586553, 333990507, 580448334, 94852382, 15519672, 986310891, 56748576, -1, 832518076, 767331258, 859533786, 725906188, 172276386, -1, -1, 357441966, 315885446, -1, 933448847, -1, 726760807, 459969031, -1, 895906268, 928022848, -1, 999646343, 788965541, -1, 822764910, 834463964, 548417853, -1, 834291485, -1, 561617072, -1, -1, 687426003, 919724138, 246003249, -1, -1, 802115712, 648247783, 624185828, 386871908, 353880512, 543083403, -1, -1, -1, 406930650, 393962192, 598435041, 688425166, 937288753, 20756890, 511980268, 39307347, 937719341, 418686854, 965467247, 929705010, 810817312, 932095294, 42440982, 542584439, 911536145, -1, -1, -1, -1, 389861010, 415428009, 807827451, 319882934, -1, 865575484, -1, 898586769, -1, 701784279, 816670872, 938265997, 958923379, 178962101, 705416888, 109526228, -1, 611858442, -1, 904258507, -1, 957405663, 366156654, 470526469, 387071473, 757415254, 541784535, -1, 641685834, 281873227, 149349489, 789217161, 515105666, -1, 892556086, -1, -1, 577694949, 973754548, 924227483, 202958250, 596428782, 892842701, -1, 808623460, 901937195, 897586486, -1, -1, -1, 504600622, -1, -1, 326333538, -1, 124749537, -1, -1, 148724584, -1, -1, 277298893, 794114811, -1, 176646260, 919113810, -1, 384070664, 699971170, -1, -1, 767247365, 615575865, 348535775, 494092655, -1, 112753877, 343113965, -1, -1, 408523313, 837912066, 795337901, -1, 517455074, 292433655, 710708287, 824674265, -1, -1, -1, 427012885, 127894010, 643321185, -1, 758193637, -1, -1, 73278490, 417910078, 171689795, -1, 802794840, -1, -1, 890082807, -1, 656047081, -1, 422750532, -1, 474473023, -1, -1, -1, -1, -1, 381516290, 545800071, 843813357, -1, -1, 569680295, 160559195, -1, 983737438, -1, 86959385, 161874811, 839746108, 678774793, 517430550, 382220624, 257250001, 167110157, -1, 608355255, -1, -1, -1, -1, 489125637, -1, -1, -1, -1, 891969992, -1, -1, 951894389, -1, 489406575, 106741702, 283705678, -1, 702985216, 136241356, 577164403, -1, -1, 711526819, 617321079, -1, 528433107, 612304451, 139699240, 404724765, 788435233, 908873850, -1, 187782668, 574493060, 628029875, 529414924, -1, 593814125, 630662361, 631380563, -1, 294304785, 172206695, 744881989, 554744009, 12736910, 498867731, 796586675, 830153887, -1, 263914380, 190379512, 218713168, 202852734, -1, 942996836, 186658607, 976917770, 883849357, 814163357, 579890323, 506821732, 378171089, 849929802, 921005098, 520702170, 951785319, 197699760, 686798323, -1, -1, 920515572, 78784143, -1, 710475859, -1, 151403286, 839330966, 414353577, 754391318, -1, 835162819, 346507959, -1, -1, -1, -1, 687989687, -1, -1, -1, 987680729, 694922431, 636721482, 191544941, 923869084, 241147822, -1, 451689504, 365141300, 443231083, -1, 228703714, -1, 969663201, -1, 242110317, 97072675, 511050283, -1, 115176604, -1, 647729680, -1, -1, 688079826, 119207677, 674650115, 772368879, 992189670, 39083352, 552423759, 227219492, -1, 33895376, 728399177, 737753573, -1, 838213090, -1, 748204529, 968202881, -1, 237241084, 857693518, 230007067, 424212282, -1, -1, 235817716, 179272454, 62387846, -1, 529038821, 872098780, 903976511, 85437810, -1, -1, 483125319, -1, 101343601, 688268509, -1, 41184726, 610673835, 805318809, -1, -1, -1, -1, 999102357, -1, 572432341, 601838982, -1, 435760359, 535249470, 71586970, -1, -1, -1, -1, 122254681, -1, 115298771, -1, -1, 66810604, 256955989, -1, 563765849, 774088723, -1, 62139478, 526811326, 558993931, -1, 878397004, 352066988, 437776445, -1, 606311493, 11905386, 224832716, 845276767, 562379076, -1, 496419995, 723912234, 78771581, -1, 522405441, 353131248, 90977228, 376994453, 182561281, 809363485, 561576002, 722431346, -1, -1, 824337735, 778456846, 774360945, 327129372, 511134687, 559002030, -1, -1, -1, 811392936, 52950239, 553856487, 977296572, 306943174, 881466031, 628082894, -1, -1, 921514340, -1, 948557649, 623525418, -1, -1, -1, 197612413, 375281385, 370412756, 657053371, 993762323, 559868453, 420561649, 828912506, -1, 355891695, -1, -1, 361779265, 820732342, 977811161, 887845256, 840089994, 455244048, 63302053, 538818833, 375566276, -1, -1, 722074721, -1, 708903922, -1, 329543090, 486922324, 77951855, 581827820, 368168072, 500272493, 289127074, -1, 740722530, 592725074, 965078615, -1, 969314801, 475051916, 959549267, 336502526, 329659512, 884681947, 849771922, -1, 491865835, 44253541, 181945612, 495840320, 197127046, 297181360, 118565644, 130174991, 328699451, 523668088, 393882475, 964363331, 469345032, -1, -1, 338480981, 484375848, 303669005, 838752311, -1, 224832495, 318245009, 26012939, 707990943, 754951917, -1, 497057474, 61145540, -1, 954908333, 225396705, 775933726, -1, 949667534, 455329816, 307196758, -1, 860332040, 582401647, 678016866, 262769880, 394061299, 552011165, 938235893, -1, -1, -1, 968393708, 591942844, 541808961, 597682797, 152113264, 954424468, 558964773, -1, 821649258, 387926052, -1, -1, 130670469, -1, 7739825, 679496196, 568296889, 259358624, 472690031, 934013265, 482447633, -1, -1, 243960290, 26226006, -1, -1, 591598298, 65173776, 870262279, 284217821, 136922011, 372800154, 733885198, -1, 433678431, 457915873, -1, 24613729, 1341907, -1, 818763621, -1, -1, 846891374, -1, 758397038, 99691157, 898396351, -1, 171310940, 485244235, 630873119, 431105634, 40276657, 448738471, 509073952, 294081263, 564178200, 499569310, 778603742, 391833676, -1, 906926040, -1, 456530666, 811791853, -1, -1, 855985539, 228735972, 951647790, 482218015, 192572934, -1, -1, 768023994, 339327624, 524688124, 247890969, -1, 475747083, 161475865, 582542586, -1, 388076160, 750920419, -1, 8886918, -1, 265916327, 711234513, -1, 497852925, 919626121, -1, 786802336, -1, 737468498, 366667040, -1, -1, 911974813, -1, -1, -1, 798857112, 862301195, 322482312, 573629940, 693014044, 993445369, -1, 297274862, 290031864, -1, 175450485, 946604520, -1, 82884389, 239102164, 367437919, -1, 793601224, 182312099, 964771753, 744727500, 737828289, 682806669, -1, -1, 770740857, -1, -1, 65154509, 790933359, 361089669, 599031638, 102535143, -1, 433253848, -1, -1, 205077495, 910258024, 708456715, 956996411, -1, 466443851, -1, 249405274, -1, 370821187, 98315450, 663837990, -1, 266025790, 77675118, -1, -1, -1, 146820632, 815550987, 558538491, 258685431, 172228587, -1, -1, 719572133, -1, 136916606, 122164288, 345960928, 801938899, 512332886, 683953693, 502262893, 233465424, -1, 945328703, -1, 851341824, -1, 32761507, 330491036, 177434158, 327105034, 914690031, 772096650, 663820472, 313284530, 389511307, 811180916, -1, -1, -1, -1, 971770331, 805920935, 672525697, -1, 839080832, 139650298, 479423149, 697582354, 750315517, 825667008, 644601673, 178714891, -1, 537740266, 731651874, 754530670, 940160372, -1, 815356250, -1, 262904070, -1, -1, -1, 280663058, 33220495, 817334373, 625016917, 96930264, 27812480, -1, -1, 93739008, -1, -1, -1, -1, 220355930, -1, 872640531, 868051937, -1, 219586916, 249511210, 497631924, 329387482, 267859517, -1, 387242604, 82501697, 283558355, -1, 341419281, -1, 303045248, -1, 733333226, 535468787, 322628580, -1, 518709894, 729823873, -1, 42144169, 695581523, 680600570, 453182077, 561682902, 160167842, 225487105, 367538302, -1, 105864519, 599059353, 492064997, 336252669, -1, 160537118, 960097513, 121708900, -1, 145464033, 605306277, 923368099, 50789701, -1, -1, 672115729, -1, 291001609, -1, 359535188, 433668707, 718553798, 991090209, 477997558, -1, -1, 686941682, 25255570, 292556752, 583344070, 808976785, 553097209, 726034823, 627402104, 343439640, -1, 214600671, 920423688, -1, -1, 636993325, 168590811, 360958260, 981704429, 446996908, 891703991, 272043553, -1, -1, 137067490, 357552431, 80760283, -1, 905408856, 364818927, 648942461, 546415394, 505598251, 663416735, 950055686, 146687274, 322998194, -1, 669878170, -1, -1, 28091087, -1, 736245774, 767506175, 816697502, -1, -1, 652360982, -1, -1, -1, 619703237, 118986903, -1, 934174181, 315234677, -1, 90226893, 539784158, 138159385, -1, -1, 166846280, 852711139, 852950941, -1, 577273529, 407297266, -1, -1, 24192004, 282569972, 796886885, -1, 393022072, 673569195, 341148780, 900676971, -1, -1, 184873716, -1, 690994176, -1, 698990180, 498239789, 51137705, 511668312, 193598567, 654291283, 175254226, 796208447, 338461694, 271889264, -1, 266246700, -1, 801713132, 959895746, -1, 595448263, 777849725, 147486637, 514040085, -1, -1, 894687269, 261108356, 119673640, 2035707, -1, 374350267, 468519056, 915935708, 253916918, 392840141, 266195792, 66610892, 822553417, 292927664, 278311690, -1, 167481142, 421659873, 53790449, -1, 637350629, 684550995, 297430903, 75119269, 66434091, -1, 550652789, 127355464, 849516700, 947686067, 104896791, 262167507, 75779759, 936231829, -1, 916001383, -1, 26624978, -1, -1, 506313124, -1, -1, -1, -1, 680386237, -1, -1, 578733064, 17527612, 245050657, 696578748, 62174597, 873552611, -1, 660186008, 11720310, 70155927, -1, 777123070, 763802267, 876675821, -1, -1, -1, 79669267, -1, -1, 53241569, 985268485, 255728786, 11933594, -1, -1, 986063466, -1, -1, 2725724, 272658097, 775485318, 700525930, -1, -1, -1, 34767013, -1, 130352779, 579622867, 2261911, -1, 406293885, 773270047, -1, 400284235, 51935677, -1, 506062263, -1, 501504102, 580352493, 626785181, 249270210, 742535938, -1, 624482336, 744151299, -1, 520811237, 53351629, -1, -1, 232510746, 917066132, 834450549, 453580222, 162261523, 853585797, 5835078, 852976581, 672133498, -1, 998928857, -1, 36500957, 169774238, 410915396, 75994220, 312755791, 408098561, -1, 38235283, 984489628, 531098287, 419281872, 559320174, 895635762, 525769331, 24906462, 224526337, 442695716, 273224100, 11155922, 901465746, 581804609, -1, 600322865, -1, 772155620, -1, 708825575, 363014771, 123837731, 770244786, 485099515, -1, 428805882, 149805769, -1, 983884967, 843334934, 878224912, 482977208, 487246638, 448475690, 465712376, 994041060, -1, 955769018, -1, 890353991, 132696075, 282159431, -1, -1, 227596043, -1, 171697550, 586519761, -1, -1, -1, 59178406, 53652639, 129745056, 452075667, -1, 350958746, 25215852, -1, 495843451, 263415352, 178067900, 520695429, 505357279, -1, 192274899, -1, -1, 644812737, 168098748, 826963556, -1, -1, -1, 860987909, 790439003, 683705289, 572830728, 597739614, 175925728, -1, 35840087, 751565271, 563072568, 799849848, -1, -1, -1, 902567152, 877480342, 791026602, 678781284, -1, 271237143, 120808253, -1, -1, 492513972, 291045844, -1, -1, 569248449, 575420078, -1, -1, 831553464, -1, 368945302, -1, 401096023, 638280657, -1, -1, 68567954, 569589026, 634845750, 916516671, -1, 664869691, 613302764, 843712271, -1, 230352517, 2567664, 863035553, -1, 263182623, 213880846, -1, -1, 598047502, 634296264, -1, 96277808, 918033373, 745175737, -1, -1, 931085808, 784422801, -1, 553656449, 441393773, 105895687, 140248141, -1, -1, 465580862, 639262856, -1, 946882732, -1, 893576209, 705160162, 784353637, 865133888, -1, 232476702, 459245028, 547892539, 527406814, 991014077, -1, 937955595, -1, -1, -1, 555228622, -1, 861330563, -1, 12037057, -1, -1, 990986455, -1, -1, 359453701, -1, 592334724, 644690437, 469133223, 404616525, 520290846, 334447584, 733920987, 609747589, -1, 998297439, -1, 593518979, 474870634, 404888363, 910535448, 790166839, 82721053, -1, -1, 594219619, 482219582, 378361499, 745461983, 833541924, 795300442, -1, 386291728, -1, 656970665, 504806954, 263852596, 58500798, 803524853, 981800322, 445973731, 222443660, -1, 486205807, 148403660, -1, 34959125, -1, -1, 278379607, 903775567, 746989866, -1, -1, -1, 657941461, 728103652, 604566093, 423966444, 482043339, -1, -1, -1, 448160419, 756840583, 97043371, 258539153, -1, 944084335, 440222721, -1, 331240273, 528245935, 608009904, 312741732, 995246571, 301648967, -1, 3735556, -1, 465910474, -1, -1, 865859440, 114422995, 262393667, -1, -1, 724239462, -1, -1, 708883371, 378961535, 466112105, -1, 719267734, -1, 150700215, 300059456, 100186703, 416848340, 588658238, 858747960, 753125280, 131239199, 813266776, 411377837, -1, 468163293, 265717903, 625793914, 96069747, 400604506, 655543770, -1, 278735476, -1, 303372665, 382130399, 728881563, -1, 647258710, 367950714, -1, 649226966, 669142352, -1, 2972533, 893779407, 232717913, 948915592, 31003867, 215368567, -1, 836952524, -1, 236327429, 682305772, 277844823, 996054476, 35999242, -1, 897987327, 908918946, 902728593, -1, 973853518, -1, 856937250, 447478708, 218746423, 574257316, 617896171, 311712752, 447025875, 367676820, 168846840, -1, 636367543, 820747935, 734663628, 46610881, 866763674, 336831397, -1, 37708401, 312566621, 812530144, 970829729, -1, 280482048, 106462641, 526891648, 729227621, 202406213, 956455968, -1, -1, 816674459, 114215897, -1, 729304749, 905055773, 568625536, 498249142, 159305287, 745256196, -1, 637935375, 835297541, 150667906, 645237244, 486403325, 432350481, -1, 202904896, 909110955, 397062100, 583269450, 797611841, -1, -1, 796392618, 524375111, 705896508, 848129458, 425269755, 869192774, 114121284, 529254725, 744506840, -1, 70151161, 113814318, 901786391, -1, 322856397, -1, 160455565, -1, 819416979, -1, 568789632, 746524031, 594403590, 966759705, 35079267, 61449452, -1, 7726870, 280369942, 54994250, 974816385, 106125964, 311277109, -1, -1, -1, 189673473, -1, 372249634, 943051645, -1, 362743698, 132433427, 623933225, 718209718, 549937943, 643693928, 451319856, 544900725, -1, -1, -1, 320913267, -1, 812808919, 223886722, 187552157, 689086971, -1, 286704860, 389631682, 1415327, 593497607, 642613752, 633108393, 382319732, 611276460, 512896459, -1, 805679246, 440277232, -1, 193487854, 54347306, 568975094, -1, 564944000, 274590524, 236977163, 564238479, -1, 15285002, 206175514, 953257259, -1, 178751094, 129839835, 124760837, -1, 148875408, -1, -1, -1, -1, 906409011, 413524158, 878639979, -1, 57175847, 336722610, 918150931, 105156524, -1, -1, -1, 87195115, 80627149, 651972182, 149802734, -1, -1, 288423583, 995144905, 632082809, -1, -1, 273062714, -1, 162872662, 511429973, 205355869, 564257026, 435100114, 701463639, -1, 336171055, 881888553, 196523839, -1, 354748467, -1, 270988855, -1, 551599449, 740122560, 302164863, 256128284, 425785667, 395527942, 170050303, -1, 801996702, 888173476, 49229834, 553369214, 977362388, 339057575, -1, -1, -1, 908080853, 236934880, -1, 450783772, 91640133, 661365260, -1, 299065230, 259320045, 933585054, 366427571, 611975001, 422934565, 423099611, -1, -1, 171284309, -1, -1, -1, 116805772, 135720044, 671377693, 154158511, 249937523, -1, -1, 149583870, 814532738, 54327113, 91480020, 896707825, 38194823, -1, 143893880, -1, 189543716, 900674868, 702222005, 99892755, 387679731, 72549714, 215999946, 884980011, 604446737, 119898928, 187407544, 103404110, 644609597, -1, 678591312, -1, -1, -1, -1, 798206131, 1735943, 674395672, 431778398, 381957944, 727627546, 24628928, 668673461, 571704913, -1, 253484439, 79407986, -1, -1, -1, -1, 718734306, -1, 588089628, 264012316, 979808067, -1, 982652843, 806218698, -1, -1, 848793567, 567978337, 771505649, 53670077, 745659595, 597190243, -1, 323247879, 264996868, -1, -1, 870005913, -1, 454988759, 793375979, 950271438, -1, 592312809, 828073822, 685398422, 573153881, 211807775, 323292586, 425327309, 917347980, -1, 202101767, 968121234, 59321246, -1, 991196205, 493938304, -1, 687657679, 564874618, 875544958, 636217556, -1, -1, -1, -1, -1, -1, 723045057, 996696458, -1, 483279180, -1, 365585933, -1, 94849050, -1, -1, 851262129, 958877210, 388210944, 350877190, 406394221, -1, 480183978, 804095938, 689407378, -1, 192678885, -1, 107279652, 177014315, 168467380, -1, 799298606, 794657238, -1, -1, -1, 926195122, 538616207, 475679269, -1, 58316979, 338375699, -1, 999227557, 368611131, 776637408, -1, 648511288, 943365631, 370864533, 723714046, 845186928, 949626016, -1, -1, -1, -1, 652884421, -1, -1, -1, 730540681, 593870855, 623605131, 579553609, 969419224, 274289870, 479611514, 858393866, 17560342, 44636397, 941824398, 391232213, -1, 985635197, 190952176, 98938996, 247663038, -1, -1, 740100395, 228574973, 437854680, -1, -1, 717780322, -1, 641193069, 691895130, -1, -1, 608894159, 593444442, 553820539, 274566852, -1, 195878988, 439677691, -1, 142868875, 180808048, 340548255, 789097517, -1, 274405576, 12114503, -1, 107132789, 185624246, 569641563, 841996248, -1, 793609888, -1, -1, 736588802, -1, 122224719, 301868524, -1, 587191706, 289312054, 217252982, 662454453, -1, 103393592, 87155415, 642756949, 231817986, 571010781, -1, 125041808, 93968634, -1, 975964666, 800643377, -1, 962683068, 428551677, 722353109, 429711254, 444613447, 508341235, 74412425, 911447492, 612589244, -1, 462380711, -1, 47604503, -1, 271414555, 696510489, 474937925, -1, 29945264, -1, 626544625, 387353060, 967197282, -1, 697891229, -1, 347024779, -1, 51314666, -1, 652560599, 816414583, 401345750, 298085772, 575570342, -1, -1, -1, 117066236, 465881251, 371874067, 699957778, -1, -1, 578643574, 615374888, 830723292, -1, -1, 248584435, 558121102, -1, -1, -1, -1, 461502339, -1, 832012413, 939304696, -1, 368172451, 584439884, -1, 380589001, 684070038, 872724556, 334809632, 138862425, 752891161, 757057397, 244560321, 905253338, 470529305, 232209255, 880063349, -1, -1, 589855361, -1, -1, 498545834, -1, 123757856, -1, 735563376, 79694039, -1, 22626278, 503773132, 602493504, 381335006, 704393884, -1, 717734644, 586523876, 220001462, 457864073, 693536303, 918008666, -1, 463632071, 264330918, 687919286, 90042022, 754670124, -1, -1, 875715580, 763197798, 113348796, -1, 12599096, -1, 505420197, 191415866, 625694902, 706874, -1, 449697835, 49806391, 280470450, -1, 449625583, 480749462, 470407236, 968203391, -1, 663714764, -1, 560271136, 864281174, 913356268, -1, 925316510, -1, 410405182, 1641700, 328540339, -1, 892724325, 119213534, 728607043, 586556131, 42440369, 59057109, 676019245, 610414981, -1, 433575351, 732918445, -1, 350995221, 746452701, -1, 66955464, -1, -1, -1, 228536181, -1, 833947994, 691153032, 906239093, -1, 127425911, 479339344, -1, -1, -1, 835126527, -1, -1, -1, -1, -1, 497477992, 470329018, -1, -1, 458747980, 84764074, -1, 828518606, 606705338, -1, -1, 801087792, -1, 670015726, 806449038, 818316744, 536481354, 998573673, 303183562, 800243498, 711516261, 829862926, 98287381, 17043054, 766236030, 159383895, -1, -1, -1, 575804681, 390331942, -1, 49263493, 318698508, -1, -1, -1, -1, 661397871, -1, 703071205, 665174375, 972524596, 105595688, 704486331, 655571405, 950001145, -1, 87431918, -1, -1, -1, -1, -1, -1, -1, -1, 989400232, -1, -1, 366234929, 282357596, 357594793, -1, -1, -1, 150903394, 584527678, 759440014, -1, -1, -1, -1, -1, 347418456, 921582220, 891118009, -1, -1, 305979782, 127466568, 874918229, 991280538, 155427095, -1, 59029040, 642365890, -1, -1, 901068833, -1, -1, 261270918, 200919134, 749847278, -1, 640308166, 979206312, 809465443, -1, 517390363, -1, -1, 661267949, 876012905, -1, 642412598, 555578880, 651558857, 845375032, 595206820, 572226115, -1, 63247909, 942854310, -1, 150125989, -1, 181555790, -1, 5409643, 704101738, 469207117, 533832490, 624875164, -1, -1, 813365064, 483720446, 146390966, 72837969, -1, 794431503, 566573084, 62146725, 525102638, 781333557, 53210646, 562730413, -1, 633399852, 594616330, -1, 652587314, 821587973, 763689383, -1, -1, -1, -1, 927120998, -1, 293313476, 867879944, -1, 589575090, 82049690, 886006270, -1, 460100426, 364914662, 172664440, -1, 469949676, -1, 130166102, 123692517, 391716852, -1, 547588442, -1, 30346394, -1, 909693764, -1, 982230019, -1, -1, -1, 833571553, 394996159, 570045565, 369902479, 567197858, 408154475, -1, 5988426, 781322352, 894847563, 128543517, 821158025, -1, 574183938, 578445472, 581563901, 853091473, 823845423, -1, 592098503, 665274072, 982875591, -1, -1, 979437289, 276505050, -1, -1, -1, 403574570, -1, -1, -1, -1, 462841836, -1, 800336067, 588748799, 962121289, 861044595, 460306035, 669803533, -1, -1, -1, -1, 99892827, 896236480, 593470426, 913614502, 422277042, 910602813, -1, 95442206, 601290184, 303887595, -1, 822563900, -1, 470397449, 196866711, -1, -1, -1, 371240712, 646987404, 33203324, 68832805, -1, 396703485, 36862460, 162748805, 509954098, 362317237, -1, 819959791, 727699053, 578271403, -1, -1, 985686150, 193922493, 824193068, 758294390, 866272280, 344866156, 12613117, 237109767, 218435664, 496257828, -1, 206154915, -1, 424501619, 557667011, 948330703, 23765663, 605730269, 292498611, 163424064, -1, 745896078, 132900196, 213771708, 739603204, 922127003, 854541792, 295315315, 246488814, -1, 829297232, 449364665, 454213077, -1, -1, 937711139, 653089008, 617636484, 889621312, -1, -1, 304693572, 729420208, 952001448, 927066266, 255224033, 816797282, 700705529, -1, 861805504, 300300856, 94374638, 705960180, 846811081, 914513863, 263442429, 506274494, -1, 580767335, -1, -1, -1, 761157009, -1, 103697033, 646064655, 342562133, 956466256, 466728175, 56563171, -1, -1, -1, 503502938, 899286365, -1, 472132120, 169409161, -1, 576165155, -1, 407141985, 796028462, 242126117, 628553252, 588554432, 668888134, 372125753, 808060181, -1, -1, 576828236, 361533735, 604614907, 177148173, -1, 850170614, 419735277, 56704362, 88530983, 401909654, -1, -1, -1, -1, -1, 605382740, 90265357, 413834115, 66093272, -1, 43649678, 423023280, 390562761, 566995433, 183279893, 152963883, -1, 705281467, 930216924, 497069949, -1, 945421126, -1, 943833237, 894401923, -1, 680441680, 62037806, -1, 674527194, 716921905, 374570248, 994834174, 487494223, 437669009, 390106472, 228227510, 854580544, 568438785, 414894903, 765168392, 534763772, -1, 805246862, 818860097, -1, 928812593, 82649346, 502228628, 102694813, 927611190, 850199359, 536966700, 953489110, 49407790, -1, 333193819, 898735973, 615804258, 947315714, 485129921, -1, 683320163, -1, 974530105, 450184648, 800388444, 150382749, 544229158, -1, 106681858, -1, 231660454, -1, -1, 128622334, 90670865, 689746866, 934228715, -1, -1, 95997765, 487288810, -1, -1, -1, -1, 235278977, 594649310, 590722492, 817451358, -1, 709991467, 939310609, 208605638, -1, -1, -1, 247519300, 837186714, -1, 780170847, -1, 231919065, -1, -1, 669787577, 575380759, 66055353, 69894928, 659238552, 676459827, 436936683, -1, 632057170, 294837917, -1, -1, -1, -1, -1, 367187817, -1, 997225409, 489354476, 567906584, -1, -1, 459625704, 496068589, 540036159, 299995405, -1, 349225707, -1, 934080782, 20781407, 482309353, -1, 746845826, 95883985, -1, 910472169, -1, 882881860, 772109830, 315429164, 370858315, 743629766, 230958454, 81186230, 308568226, 634515291, -1, -1, -1, -1, -1, -1, -1, 267911569, 200045251, 403970354, 248445774, 487206965, 421392833, 978753528, -1, 931921753, 276199466, -1, -1, 368486635, 467717564, -1, -1, 571008842, 962104394, 917169419, 2215220, -1, -1, 46746992, 326233399, 347461909, 827265159, -1, -1, 882661647, 328995623, 93594638, -1, 988579006, -1, 924494605, -1, -1, -1, 61396166, 432829977, 607119923, -1, 684989075, 139474858, -1, -1, 52307112, 240522978, 26582397, 851647951, 74537954, -1, 872065265, 144267194, -1, 975925847, 705921637, 346891994, -1, 550962181, 38587805, 871891954, -1, 26535681, 387720671, -1, 248230699, 123640425, -1, 924540454, 867290671, -1, 109838898, 179669709, 515054135, 209478076, -1, 121561110, 188252486, -1, 518197892, 887988483, 761922705, 454810075, 251152616, 73882246, 502233880, 177462282, -1, 35450958, 921430160, -1, -1, 10996954, 32602172, -1, 372028239, 312089922, 196032428, 700302009, 978430272, -1, 252578072, 71142491, 260314061, -1, 829156329, 290243651, 587739675, 83176197, 395311030, -1, 47875022, 282055011, -1, -1, 278650545, 400367919, -1, 385693475, 621783441, -1, 574586897, 395339211, -1, 476070196, -1, 849731319, -1, 845148988, -1, 23739219, 84968246, -1, -1, -1, 113506850, -1, -1, 512937002, 568688996, 932335897, 233532878, 304582302, 637933349, 954435834, -1, -1, 28328972, 881777390, 802330300, 113327822, 60296866, -1, -1, 428017138, 747420101, 634140923, -1, 935265133, 469775911, 195988705, -1, 818130303, -1, 552425878, 231296551, -1, 332623627, -1, 625786762, 717484456, -1, 792062667, -1, 381611391, -1, 464236545, 260294437, 27319769, -1, 755119482, -1, 95262393, 596942672, -1, 719675641, 954610239, -1, 670255576, 631429153, -1, 870218494, -1, -1, 106894456, 9015455, -1, 756493867, 11198828, 949168355, 9699661, 232516717, 919962824, 986173636, 884864312, -1, -1, 485791879, 394146603, -1, 534843085, -1, 813958917, 192236297, 609072478, -1, 927016535, 152261114, -1, -1, 53021992, -1, 871324371, -1, 63182702, 982661168, -1, 986479086, 296827500, -1, 308805677, -1, 191800468, -1, -1, 992536080, 631613893, 379755039, 480499655, 299154956, -1, 549076683, 55549439, -1, 903627255, -1, 59189390, 757780541, -1, 452026138, 843273967, 627032167, -1, 511953783, 354809946, 735301620, 417827639, -1, 999621291, 250123099, 646596802, 879912726, -1, -1, 944616925, 477761656, 688283510, 593461755, 491775119, 266762090, -1, 488888501, 573149829, 305901100, 833396191, 336787879, -1, 298535624, -1, 22433139, -1, 56872786, 200807653, -1, 981429712, 440195464, -1, -1, 425268066, 717532456, 532747570, -1, 404830042, 429566590, 663607677, 45525814, 985103919, 239729429, -1, 544671380, 855329278, -1, 240809238, 710489446, 313040053, -1, -1, 16281221, 181139091, -1, 621728091, 967841487, -1, 714846746, 606464752, 201199025, 371944725, 642930326, 918944975, 916664842, 818744439, 604996858, 616092145, 815443729, -1, -1, 274845337, 40474433, 130632416, 150955047, -1, -1, 586851812, 415860018, 654085891, 650170875, -1, 761380530, 120905396, -1, 226116127, -1, 998993547, 271403069, 984407396, 829575961, -1, 771768526, 920981388, 425796561, 597807879, 78816033, 853200080, 287244875, 577848154, -1, 467805777, -1, -1, 607768415, 269740166, 722673958, 242170686, 605521711, 649202967, 85566581, 166731111, 766839681, 507828737, 740689193, 499633978, 989145915, 2563786, -1, 472135028, 18017972, 936310281, 809311223, 666202680, -1, -1, -1, 935538048, 707776922, -1, 379274253, -1, 532079547, -1, 497350581, -1, 645357033, 187309339, -1, 698656498, 136589459, -1, -1, -1, 19192111, -1, 574475053, 82251264, 948836982, -1, -1, 955670329, 25420356, -1, 89307869, 713022468, -1, -1, -1, 335709701, 596734217, -1, -1, -1, -1, 132015143, -1, 232722197, 951393019, -1, -1, 94434671, -1, 432867437, 720321817, -1, 579675639, 304450748, -1, 828616934, 495109237, 4656201, 373340450, 251801787, 502169677, 257791893, 313044540, -1, -1, 586428076, 173642279, -1, 742596239, 561690363, 961505148, 411238890, 472715945, -1, 811197004, 539838848, 262585647, 76300810, -1, 333262402, -1, -1, 443477609, 597482553, -1, -1, -1, 346878758, -1, -1, 340177929, 924245090, 768973619, -1, -1, 52300086, 27465300, 26888994, 116211624, -1, 947501367, 453806465, 382994366, 834264626, -1, 206856022, 40769922, 60373899, 277346988, -1, 701223257, -1, 886376855, 475478017, 602256834, 214727724, 501718629, 820742667, 138447698, 330888981, 725993577, 58129909, 13958708, 160186888, 523261888, 668372638, 43495533, 760126992, 44662012, 691154094, -1, 938134691, -1, 29959545, 684315486, 617817687, 598087598, 463824366, -1, 651066087, -1, 484998463, 998486422, -1, -1, 225663689, -1, -1, 961530399, -1, 532890290, 177522987, 992281871, 328683366, 260569431, 333471093, 551392851, 381824201, -1, -1, -1, -1, 548785819, 194452841, 636934379, 491749239, 235558102, 704074548, 463999170, 859020041, -1, 83364611, 540333991, -1, 927725576, 409817074, 966343846, -1, 148814416, 403670406, 807106557, 238228565, 193083671, 524777841, -1, -1, 339377404, -1, 880116110, -1, 664856845, -1, -1, 997465740, -1, 622830897, -1, 289995545, 577075897, 407307285, 663228159, 415059894, -1, 463997863, -1, -1, 89577109, 725802396, 909305629, 567882588, 663792816, 227369062, 68731602, 186610881, 389456355, -1, 242129107, -1, -1, 984538533, 73269873, 340214852, 554327527, -1, 339383486, -1, 910460105, 635728469, 52049657, 211846437, -1, 823969224, 307001125, 986691927, 210063445, 503709028, 233597122, 477465769, 518779412, 763698560, 318746610, 241793453, -1, 52096958, 198671300, 37752511, -1, -1, -1, 981370817, 193612162, -1, 537286604, 312843334, -1, 347092063, 919705290, 547688325, -1, -1, 816771445, 43007067, 979356992, -1, -1, 403452479, 995590909, 871449339, 952834400, 653142122, 121079547, 934762871, 809858366, -1, 44701846, -1, 816913680, 831978075, -1, -1, 55971751, 833714709, 725249373, 752974406, 326022409, 388912355, 393176404, 888911309, 58347150, 115429874, 309686260, -1, 286973473, -1, 598046480, 165554392, 950828700, 948550905, 740566058, 839611170, 467125150, 890686530, 330682612, 703661214, 747154630, 682777763, 588488522, -1, -1, -1, -1, 247156585, -1, 301556846, 459966682, 919075064, 500004978, 807017792, -1, 902702757, 237334494, 464732383, 124731411, 748663211, -1, -1, 631068266, -1, 532495346, 155711068, -1, -1, -1, -1, 68051174, -1, 876976008, 257226935, 130301221, 19128138, -1, -1, 820631920, 765564458, -1, 615584776, 746090658, -1, -1, 566797865, -1, -1, -1, 996212490, 653613334, 173011504, -1, 204476837, 656765166, 891794703, 71002724, 724796666, 79862740, 282202528, 369227670, 852731871, 79881840, 271588470, 749638684, -1, 329478798, 712925980, -1, -1, 958368277, 816589957, -1, -1, 512455090, -1, -1, 499017520, -1, 874961353, -1, 901201439, -1, -1, -1, -1, 258120279, 604558575, 901948449, 955009937, 467522042, -1, 584208971, 128154463, 694811044, 759269204, 620727834, 477373828, -1, 918910626, 208077663, 530842918, -1, 58528954, 501103172, -1, 487551639, 631096842, 359909459, 684486256, 803575937, -1, -1, -1, 145181690, -1, 487426088, -1, 164630331, -1, 814536573, -1, -1, 27918198, 427073533, -1, 517350856, 913734271, -1, 692855332, 186062624, 202723937, 995226230, 608432567, -1, 292601042, 833010403, 979773718, 565181151, 88156077, 842743903, 855776159, 611170862, 744828160, 674158442, 360929039, 807675561, 568418318, 927340944, -1, 327012875, 609664842, 754309738, 186852413, 99197193, 674855566, 465248352, 575670878, 676963663, 245242616, -1, 322574719, 460837670, 258472331, 220766760, -1, 774913385, 393255198, 95358554, 383807031, -1, 286018028, 784919843, 83428765, -1, 55264166, 754609055, 838176707, 881903639, -1, 467161559, 696399733, 754593818, 192409719, 431262139, 76657003, 234761229, 557371365, 57956160, 654295433, 960173614, -1, -1, 762516775, -1, 599852853, 226775248, -1, 25462090, -1, 97329882, 361566443, 51533969, -1, 597419499, -1, 459171912, 781681722, 372539414, 375207571, 817409539, 457637207, -1, 485213152, -1, 298770705, -1, -1, 539570179, 95479451, 814024621, 63342624, -1, -1, 751427792, 901558866, 702573310, -1, -1, -1, 795204272, 817411650, 769412701, 694223312, 900503997, 250713772, 527472590, 274065877, 742646721, 617467723, -1, -1, 75597755, 526462898, 982353204, 13249156, 896076386, -1, -1, -1, 405780919, 77688258, -1, 861050471, 674859238, -1, 508790547, 642107244, 777781620, 71340640, -1, 134574799, 540606510, 343143476, 820766921, 757882433, -1, 323511569, 271276591, -1, -1, 627184552, 844436152, -1, -1, 732659341, -1, 975174310, 867917689, 219552020, -1, -1, 215454373, 416213006, -1, 785881168, 336209396, -1, 774034175, -1, 36045264, 276180958, 334729844, 503969219, 304432095, 607749735, 147785588, 989967466, 365334148, -1, -1, -1, 795130573, 12881199, 761779591, 685972361, 291845102, 891129467, 746607201, 938903533, -1, 559678539, 252688188, 93369414, 101409231, 609759865, 658146179, 700200613, 932667032, -1, -1, 320719984, 972721151, 301412420, -1, 118341936, 944540991, 864573540, 730550756, 98737692, 695473140, 887464533, 4822917, 833748051, -1, 892108046, -1, 896207869, 448076748, 774146534, 193741966, 880607548, 754435479, 678530505, -1, 543146777, -1, -1, 426966614, 690132554, 62480137, -1, 845783864, 369273268, 204085414, 822500451, 50028991, 485093724, 715092438, -1, 438092025, 84417074, 157109661, -1, -1, 994238449, -1, 500623807, 231421843, 545144045, 673865829, -1, -1, 104157515, -1, -1, 772019999, 179452137, -1, -1, 185379985, 843484189, 911593676, 248211523, -1, 342474199, -1, 522396265, 821716244, 255713996, 964889036, 853177410, 471061812, 212753779, 528908688, 981015135, 338800765, 610659282, -1, 277425386, 226466701, 581564849, 436113135, 329399279, 981314331, 90406058, -1, 454938983, -1, 474265771, 785359854, 611527245, 690273975, 425423596, -1, 32653042, 104441274, 599174738, 693352747, 121187420, -1, 925172921, -1, 931943044, 546076076, 595372503, 812446451, 580873514, 736777041, 945634254, 300986966, 158561935, 814252723, -1, 447846840, 879011821, -1, -1, 310456227, 217174701, 133111254, 122755991, 563210904, -1, -1, 922725265, 557952032, 525234545, 690612567, 816192792, 660586865, 270677488, 928799467, -1, 271065871, -1, 434058806, 653453728, -1, -1, 445538336, -1, -1, 797875543, 43273790, 84983474, 352409318, 246008851, 471772499, 317961834, 917788926, 433131151, 692867164, -1, -1, 925095538, 383286297, -1, 41246989, 480212340, -1, 586960199, 193373167, 878438615, 751024369, 164777623, 65163984, 417988498, 286350567, 140455169, 435858968, -1, -1, 783532460, 198995440, 591253441, 394112200, 487557484, -1, -1, 20575640, -1, 18658813, 713562148, 211028371, -1, 975372424, 668620177, 682219247, 466073729, 571712524, 571605868, -1, -1, -1, -1, -1, 701479219, -1, 242541867, -1, -1, -1, -1, 735555982, 544692190, 167375976, -1, 90513411, 808467281, 799217618, 665073694, -1, 423938528, 500508573, 448430966, 613314321, -1, 495515960, -1, 959266805, 136181877, 842337933, 505879491, 504295133, 460481329, 186711263, -1, 849308830, 358439159, 669142167, -1, -1, -1, -1, 577530933, 480877266, 196843668, 532417875, 316051023, 203900444, 355733722, -1, 248309333, 843175723, 286804288, 827792410, 560241175, 959719894, -1, -1, 843431138, 266624156, -1, 783365060, -1, 399513905, 371363444, 855574500, 539255889, 531633166, -1, 254981475, 440482307, 147522923, 606310441, 533175704, 667592144, 787147897, 131477585, 186456772, 571077683, -1, 363512971, 332409072, 682313288, 526132839, 577868114, 651372776, -1, 432223441, 412108048, -1, -1, 91589738, -1, -1, 159840774, 423321599, 845596855, -1, 682961763, 632652741, 224964080, 363923919, -1, -1, 984571952, 975038723, -1, -1, 704202396, -1, 468385418, -1, 200611776, 222373230, 874916057, -1, 613273495, 678494162, 852322355, 232925544, -1, 473242367, 653267755, 51425753, 749129278, 409849580, 561781938, 568955872, -1, 921534483, -1, 963017237, 820800269, 864662112, 197589235, 287317199, 966881139, 644405375, -1, 906958882, 359722614, 147720086, 489616050, 680697325, 235881331, -1, 821821463, -1, -1, 109758475, -1, -1, 422685031, -1, 550151461, -1, 296165039, 307998788, -1, 670399712, 66980253, 95457730, 474427808, -1, 23012520, -1, 523119963, 757495320, 721207772, 699699127, 294816667, 195620394, -1, 588985924, 372367248, 599199735, -1, 254637783, 284685024, -1, 98463368, 717335478, 676491766, 228629318, 818387663, -1, -1, 272166045, 279363633, 798189849, -1, -1, 155093229, 883868748, 891510099, 893069994, 30338093, 31329577, 728674602, 223469788, 888639106, 653355838, 60740379, -1, 890618905, -1, 351297187, 641384671, 472530726, 318420181, -1, 613370024, 725593466, 73444979, 132312319, 582075619, -1, -1, 375001460, 368912728, 368137436, 345702619, 496137163, 405047235, 964123688, 654882632, 821416571, -1, 605679069, -1, 412462528, 97629661, 821716800, 891794798, 663954818, -1, 451384432, 628459512, 1753700, 815934540, -1, -1, 311480038, -1, -1, -1, -1, 441319688, 254452083, 765018830, 313542131, 131319814, 872599203, 990031638, 227959939, 149445934, 648529177, -1, 653976500, 744822788, 451983404, -1, 442783951, 759996221, 508439539, 121420003, 722161868, -1, 924272346, 957236061, -1, -1, 327858175, -1, 762772396, 29612297, 638620754, -1, 211074415, 468139428, 382060062, -1, 220071356, 650459976, 961360162, 36640335, 600576706, 982588268, -1, 889371288, 908258649, 696109620, -1, 434142779, -1, 185563777, 598547827, 233243906, 273544267, 815532429, -1, 514253185, 500650335, 240762323, 575336226, -1, 133319612, 189015396, -1, 587064872, 771815443, -1, 325747574, 796399729, 559176666, 248504139, 592791345, 799126719, 311394174, -1, 660544192, 97885298, 597022477, -1, -1, 167852319, 8414763, -1, 593491009, 728923767, 980204106, 748414427, 139243552, 40158932, 953722161, 744465227, 311313357, 684697504, 412602056, 480393468, -1, 406911705, -1, 529068884, -1, -1, 429705240, -1, -1, -1, -1, 211914122, 207010765, 703253135, -1, -1, 443319967, 831871931, 346732833, -1, -1, -1, -1, -1, 51883736, 476881072, -1, 689389420, 293515149, 961522910, -1, -1, 693651261, -1, 502961862, 254802531, 172409234, -1, 388108290, 16542820, 482323071, 340689469, 955504387, 878578320, 967907114, -1, -1, -1, -1, -1, 307645066, -1, -1, 41617839, 434483074, 653611389, -1, 602856044, 60583909, 964724522, 330634969, 497161391, -1, 689080230, 481039449, 379032371, -1, 273904372, -1, 683710235, 594967260, 611206687, -1, -1, 215159561, -1, -1, 662779762, -1, 60361478, 177205236, 911163565, -1, 46832625, -1, 420167522, 985272086, 705911361, -1, 312423914, 254194228, 930092767, -1, 110720856, -1, 762381173, 774099910, 145924084, -1, 213631430, -1, 217561449, 882744530, 613376571, -1, 986652562, 181295945, 552134992, 818965937, 236510455, -1, 684692556, 657411223, -1, 394953682, 65158692, 962906000, -1, 296837824, 684130929, 884132086, 384456471, 92798819, 497140440, 281019183, 798932873, 161432913, -1, 857567677, -1, 577537306, 349981847, 103983582, 932584611, 309888318, 636336738, 185328622, -1, -1, 744694332, 346488003, 268810957, -1, -1, 269009029, 393931091, 21970258, 103738397, 275024069, -1, -1, 371200259, -1, 13850856, -1, -1, 84800977, 753777510, 34362342, 349548050, 34873531, 868091760, 999898173, -1, 206343059, -1, 853526259, -1, -1, 556072875, 959391255, 764965101, -1, 685132365, 745720385, -1, -1, 383035469, 615587314, -1, -1, 991072076, 365031944, 287222116, -1, -1, 681519318, 418350511, 696384826, -1, 786388863, -1, 211891883, 140714277, 545248413, -1, 352816636, 883692738, 242475514, 392947611, -1, 337814962, -1, 28566780, 819619448, 365963743, -1, 669512243, -1, 643382115, -1, 213622201, -1, 47000274, -1, -1, -1, 507950352, 934811968, -1, -1, 56733188, -1, 496899593, -1, -1, 799391809, 421365920, 210312909, 706796858, 948087478, 478453603, 49701033, 211059771, 87623836, -1, -1, 295562456, 136548547, -1, 798905379, 780389262, 302251311, 992324006, 706330163, 221177224, -1, 646388165, -1, 648522755, 135341637, -1, 415430017, 288229737, -1, -1, 439246459, 617602052, 393527729, 250929494, -1, 989502920, 223487196, 988025746, 872121342, 124393952, 465758276, -1, 885172831, 716087970, 730884705, 212661659, 766230854, 244984106, -1, -1, 254003218, -1, -1, 600474308, 940277842, 140884132, 57067342, 677931274, 118238327, 505547332, 335021764, 10594516, 647889810, 960412209, 359475401, 993248904, 799900640, 74034560, -1, 605888516, -1, 854642838, -1, 945905909, -1, 378761357, -1, -1, -1, 677507652, 611767229, 680598944, 548589466, 120680156, 775951748, 249678316, -1, 936107088, 146222556, 411788889, 516470851, -1, 270828405, 447093415, 102043257, 299651478, 521256680, 233691059, -1, 841304036, 318530658, -1, 524623514, -1, -1, 433979294, -1, 424019853, 830188173, 681762746, 218065847, -1, 480106694, 13661486, -1, 306785290, 745794822, 592868950, 657098521, 844696759, 174696920, 780694796, 243634620, -1, 705455440, 963785250, 865440792, -1, 465414700, 85057654, -1, 139595378, -1, 80999309, -1, 910489344, 242810377, 592796135, -1, -1, 623368039, 430477855, 746754006, -1, 683236226, -1, -1, 699134342, -1, 970416750, 832117934, 338156569, -1, -1, 503730768, -1, 553709241, 379131959, -1, -1, 319281733, 570807871, -1, 244443207, -1, 301282434, 609983654, 892214895, 397810809, 678844396, -1, 907217154, 483206412, 519166285, 624076307, -1, 952976315, 717906171, 280467957, 155916292, 932758232, -1, -1, -1, 259676423, 979633894, -1, -1, 567101705, 446726117, -1, 200518621, -1, -1, 170098875, 759018174, 32819082, 949651116, 779730462, 965311589, 364627833, 994956135, 775583895, -1, -1, 915507133, 316090157, 519537345, 753713302, -1, -1, -1, 306236662, -1, 240778803, 734305855, 99680856, -1, 922217309, 659982643, -1, 337571277, 782534943, -1, 393379844, 49963742, -1, -1, 412191672, -1, 75696288, 370836851, 408381401, 761799453, 898647408, 819023289, -1, 945033161, 582558994, 378834193, 643552552, 566195597, 387111391, 967737354, 681429594, -1, 275515681, -1, 803189554, 203494955, -1, -1, -1, 761032176, -1, -1, 123656446, -1, 802004854, 8015090, 617284768, -1, 293717715, 333614498, -1, -1, -1, -1, 857033846, 211865779, 847645016, 930422016, -1, 141551637, 337075546, 951327699, 987249434, -1, -1, 377773158, -1, 852609868, -1, -1, 678831663, -1, 64547840, 892467140, 233765089, -1, 998700654, -1, 901500733, 24537153, -1, 448568564, 781009420, -1, -1, 596067429, 345833917, -1, -1, 890920011, -1, 619716136, 306518669, 504959970, -1, 926885876, 365696747, 838488995, -1, 122277137, 441022206, 771294256, 414426600, 454709953, 537359481, -1, 155973595, -1, 553455784, 113656667, 334671442, 570258402, -1, -1, -1, -1, 621325461, -1, 997010257, 421008811, 601468741, 287516535, -1, -1, 922149025, 924128212, 74494896, 801059113, 27669120, 681018618, 425564070, 484714368, -1, -1, 422871254, 998544157, -1, -1, 959043664, -1, 34884708, 474983956, -1, 873687737, -1, 268371250, 718851688, -1, 149376053, 661757568, -1, -1, -1, -1, 951077973, 238233010, -1, -1, 671409961, 684993092, -1, -1, 283438344, -1, 427243429, 240143647, 483136101, 58220038, 901864791, -1, 700845442, 507653911, 42710879, -1, 589254927, -1, 512968183, 476528407, 557957451, -1, 632601587, 511737869, 321732777, -1, 582900026, 568076285, 810611433, 253766585, 724396970, 664060668, 648193088, -1, -1, 692049891, 41438314, 787871398, 39712938, -1, 211064515, 91400485, 154106491, 346011593, -1, 740916377, 436467430, 951265810, 280973666, -1, -1, 870074304, -1, -1, 628944140, 588201806, 931806546, 924187459, -1, 219608537, 327231116, -1, 634027371, 698107370, -1, -1, 845886367, 375934257, 358255646, 827446091, 145652257, 561015132, 141858036, -1, 621981143, 885301583, 191185708, -1, 866325795, 120665672, 198608466, 253172286, 965565378, -1, 577995678, 92273684, 410069428, 87284874, -1, -1, 518365221, -1, 346843666, 342739494, 340008935, -1, 731459295, -1, -1, -1, 581621301, 456830954, -1, 508481386, 559277096, -1, 217824997, 29977078, 664462153, 495789980, -1, 574337639, 588981550, 350866292, 293780389, -1, -1, 485708061, -1, 921988269, 222043343, 399120395, 77168758, 155670902, 77199488, 285692942, 774898869, 972746522, 850368853, 197676537, 70139327, 488415442, -1, 89975499, 926716953, 550316216, -1, 980040304, 222868705, -1, 335523741, 135910383, 718967280, 146028779, 643742839, -1, 269451610, 274859556, 584325665, 398821145, -1, 432383022, 166023641, 704421209, -1, 45282979, -1, -1, 733004788, 815531508, 280121386, -1, -1, -1, -1, -1, -1, 903777698, 801380758, -1, 899996669, -1, -1, 418273179, -1, -1, 767376667, 499755744, 447679081, 427006121, -1, 653477727, -1, 919175046, -1, 362018681, 750048621, 696280704, 408386213, 255309016, 148557900, 286118278, 83733503, 60675069, 313997357, -1, -1, 142989357, 135656123, -1, 195408749, 75436765, 803307367, 494425714, 163507895, 111223062, 329430732, 708114501, 797924803, -1, 164449225, 249552815, 831715477, 754281168, 661268417, 79104713, 173541221, 629397403, -1, 575881746, 580941300, 77818515, -1, 237119604, 390653728, 462356581, 36779909, 82327906, -1, 213883058, 577019401, 963252635, -1, 114226342, 157576897, 321697058, -1, 319432785, -1, 893814027, 365181821, 782551607, 671908162, 584365314, 170737615, 856359864, 903586956, 966679057, -1, -1, -1, -1, 632090287, 813939109, 641951089, 159542157, 98163228, 368907269, 701938579, -1, 164638238, -1, 910501113, -1, 162168570, 543041718, 34872013, -1, 404284555, 567181873, 585697463, 459827999, 451610080, -1, 433622630, -1, 931451324, -1, -1, 210858224, -1, 975200029, 672135753, 941712211, -1, 49007467, 559967856, -1, 910206259, 869742508, -1, 157618476, 739370035, 876366406, 274323944, 123992444, 585159141, 711468054, 203418311, -1, -1, -1, 142229750, -1, 287742500, -1, -1, 210026860, 583919917, -1, -1, -1, 959433114, 724512108, -1, 371605738, -1, -1, -1, -1, -1, 318748749, 905522068, 916757359, -1, 493815692, 762120464, 328344958, 166587929, 353034100, 773294894, 538379057, 9420059, 20140872, 142888972, -1, 400947582, 197059265, -1, 175952523, 141544904, -1, -1, 414138122, 528729207, 535325264, 966374881, 142513204, -1, 147231467, 631784159, -1, 950104820, 506906650, 211837965, 572478327, 357969956, -1, -1, 389568718, -1, 776634385, 699718546, 688888509, 951814255, 507216941, 289215560, 885632083, 484757387, 699753238, 52795553, 105075123, 773073081, 568898770, -1, 211943100, 61572847, -1, -1, -1, 131786405, 249280877, -1, 860790446, -1, -1, 164219294, -1, 928286288, 713329125, 437060927, 999641055, 787366080, 523708932, 762220865, 25539997, 468083594, 305547345, -1, 820130781, 650072758, 158125059, -1, -1, -1, -1, -1, 577754632, 267745055, 714072621, 807442523, 745176277, 991382070, -1, 829334500, 743852413, 173594033, 905619037, 836165047, 343034825, 249663605, 175766084, 564713575, 963286842, 220282109, -1, -1, 260742017, 175599893, 739692786, 811894926, 577024559, -1, -1, 192082546, -1, -1, 752783039, 724765732, 955277772, -1, 565205280, 163731029, 29005110, -1, 208911027, 77088081, 417002252, -1, -1, 100215105, 91220582, -1, 501759661, 404381103, -1, 45397031, -1, 738230623, 901394626, 981393214, 996652987, 333228797, -1, -1, 737358059, 890631004, -1, 620660002, 968440824, -1, 785301994, -1, -1, -1, 731431128, -1, 977287994, -1, -1, -1, -1, 43883020, 767579254, 152335636, -1, -1, 685982481, -1, 932414920, 393424975, 10514699, -1, 271065878, 197826456, 406013072, 983436745, 561410312, 77347530, 665495895, -1, -1, -1, 265179216, 867359928, -1, -1, -1, 285399904, -1, 7728376, -1, 176034815, 809751120, -1, 14429810, 489257728, -1, -1, 557347541, 87714151, -1, 609948356, 881408517, 729475867, -1, 632548328, 301197789, 548922752, 455529506, -1, 174984843, 966405863, 841299273, 62819186, 675854320, -1, 141149679, 150756710, 568875871, -1, 732169112, -1, -1, -1, 660098049, 347438824, 540997803, 167424519, 282874996, 417435100, 327618001, 243147904, 937131006, -1, -1, 974096874, 371644090, 682682174, -1, -1, -1, -1, -1, 982662142, 680594372, 511625357, 427780071, 132770564, 506587609, 108247966, 770700416, 536196089, -1, 436825778, -1, 452903579, 773695810, -1, -1, 443005611, 190827976, 278873426, 290394510, 534712290, -1, -1, 319019470, -1, -1, 423407169, -1, -1, 78641541, 946433521, -1, -1, -1, -1, 52269103, -1, -1, 13669769, -1, -1, -1, -1, -1, 980401316, -1, 964973869, 611585170, 737411842, -1, 486601448, -1, 391668542, -1, 262506245, -1, 641362404, -1, 808615152, 922183356, 598039985, 145433177, 467434617, 637137362, 44428111, 296689518, 307479659, 823059420, 808574874, 761787145, -1, 618289252, 57070574, -1, 58538753, -1, 263750614, -1, 879135142, -1, 544403803, 347492210, 442769743, 103583251, 566512458, 725758352, 371266447, -1, 258004126, 505791874, -1, -1, 749315524, 647624560, -1, -1, 246849251, -1, 221428447, 97965059, 657982592, 117170740, -1, -1, -1, 499823114, 584880998, 61262554, 298305355, 847847777, 703548552, 285166559, 15312377, 863527196, 779752208, 570887415, -1, 943823467, -1, 881230216, 549165492, 750706048, 792006041, 899279499, 939265443, -1, -1, 119038203, 171958524, 567095797, 921315735, 203938893, 284912058, 494051953, 534367982, 289380934, 297763301, -1, 28252260, 103841121, -1, 920171902, -1, 8441522, 793345805, 798234750, 976323132, 338653813, 618098607, 26074559, -1, 83369852, -1, 677949109, -1, 585107325, -1, -1, 320810663, 778618466, 712666996, 377923140, -1, 876472348, 321778623, 905198788, 858999864, 753721769, 588055293, 304744072, 795336663, -1, 301914828, 673458729, 9408145, 608700611, 102235825, 162473025, 33896362, 664871837, 778118470, 550255438, -1, 852534625, -1, -1, -1, 247383175, 476090815, -1, -1, 194400157, 394471006, 294164732, 344062260, 360129750, -1, 866272441, 543274783, 888492727, 426889703, -1, 524035552, -1, -1, 866246586, 469298886, 964157144, 125756923, 484239034, 257191547, 789293890, -1, 771718006, 519420342, 947849967, -1, 261162068, 61301962, 841212363, 475656006, 307719185, 264059978, -1, 400558950, 582724525, 595339609, 844880653, -1, 708743849, -1, 376497639, -1, 942139555, 640018308, 235171928, -1, 569388241, 299819030, 604738863, 31808740, -1, 173533711, 866122431, 340318625, -1, -1, 200176959, 43897363, -1, 616209974, 85533442, 230866921, 648314637, 930574266, 830449946, -1, -1, 977871702, 109550217, 461528439, 263019583, 936191940, 475087591, 733084490, 802359748, 13710621, 314917980, 790164818, -1, 369698295, 277320220, 981578825, 163934074, 418740246, 728802634, 249884009, 351498902, 992343751, -1, 480765972, 59276161, 434857790, 828603232, 778353197, 410855686, 87997901, 669391082, 634837834, 738377293, -1, 842968460, 206890993, 617378873, -1, -1, 563035607, -1, 338569816, 406558471, 215976301, 372199264, 492852468, 738183516, 883662980, 968808262, -1, -1, -1, 857843786, -1, -1, -1, -1, 25600335, -1, -1, -1, 526280269, 926491087, 421873655, 974115707, 648592284, 483658257, 764378786, 784053139, 118064194, 132611858, 400786209, 818208606, 660871172, 273737552, 1455744, 818627861, 131284459, 781376520, -1, 745404898, -1, 121824918, 499241914, 436808108, -1, 902438635, 416061265, 76128554, 44339872, 931950806, 570049162, -1, -1, -1, 12605068, 941441546, 199174144, 819164537, 396841948, -1, -1, 78330933, 685162530, 914512837, 539949137, -1, -1, 344210832, -1, 25087191, 883847036, 391708625, 566666408, 394826730, 495044840, 423024503, 766953171, -1, -1, 971560257, -1, 308958993, 673877486, -1, 130543705, 354573923, 189734846, -1, 519709821, 231479547, 156495606, 22499125, 134992833, -1, -1, 857778549, 440825238, 274192234, 914675440, 696932133, 442805991, 206557155, 146270283, -1, 766514549, 587379401, 577169768, 54036364, 736774262, 728642788, 514664060, 536711169, -1, 814909996, 129018719, -1, 517509684, 946615772, -1, 58426735, 312275733, -1, 90734541, 777966098, 681852114, -1, 440926129, -1, 419320146, -1, -1, 692170883, -1, 825504152, -1, 687047383, -1, -1, -1, -1, -1, 776566680, 965861414, 635941773, -1, 365170440, 434065270, 234521018, 865431410, 43235093, 835442092, 969874988, 108106536, -1, 143616557, 597729614, 690993758, 810141075, -1, -1, 845889907, 405610911, -1, -1, 228083797, -1, 217289252, 284649024, 290779434, -1, -1, 496789138, 611198688, 840523204, 250467525, 177532544, -1, 313529869, -1, 637272103, 839458134, 108571511, -1, 980862337, 32354005, 903472372, 181039718, -1, 108358944, 502309965, 678537338, 34682484, 794299699, 855329834, 677337948, 854153882, -1, -1, 1763869, 809068502, -1, 182523045, -1, 850926517, -1, 986988950, 57654405, 253319770, 40040243, -1, 541433904, 437991583, -1, 33996907, 431793224, 119224754, 260331435, 476414448, -1, -1, 444583974, -1, 78073571, 29874057, 827300414, -1, 865957666, 306143905, 691765468, 367510760, 667830800, 587056785, -1, 861577339, 165525741, 344486332, -1, 58982644, 872883564, 247133616, 224935787, 699804979, -1, 686855523, 167076993, -1, 450568651, 672801718, 121959071, -1, 26194709, -1, 546523055, 106474740, 886801510, -1, 813325781, -1, 865356714, 773618292, 782254651, -1, 487062568, -1, -1, 501664816, 699165799, 56074837, -1, 452176872, -1, 985448756, 618015885, -1, -1, -1, 996900094, 101043072, -1, -1, -1, 902372875, 921298925, 996024437, 15740390, 179862420, -1, -1, 581162049, 583268008, -1, -1, -1, -1, -1, -1, 432891732, -1, 221581480, -1, 672488948, 962740273, 820708274, 609376181, 282682577, -1, 566592124, 242376894, 805152782, 555619512, -1, -1, -1, 835415913, 865980458, -1, 388663142, 263344393, -1, 468861577, 376662037, 758432900, -1, 77790372, 260727272, -1, -1, -1, -1, 770729407, 704220577, 985441022, 636553796, 666434773, 891843735, 648640930, -1, 392542208, 181319074, 877668166, 876173195, 805431470, 113377239, 341682596, -1, 478298160, 404757278, -1, 93397784, 487827775, 680450707, 716226514, 192626763, -1, 46017648, 734692557, -1, 972742521, 337850147, 11447857, -1, 926052953, -1, 905643246, 503074153, 982525197, -1, 242823734, 931535991, 70361423, 396886014, 165480081, 46856828, 867139862, 589891174, -1, 160200769, 498104124, 798949204, 222089935, 600505510, -1, 672848657, 923092890, 486732223, 836358434, 540863997, 365564046, 377849114, 115350468, 356635820, -1, 435901672, 225988934, 438649500, 585141061, 691493819, 2478851, 942451883, 64841150, -1, 96921171, 297991240, -1, -1, 382156087, -1, -1, 209258447, 339396899, 535469108, 135065250, 376998382, -1, -1, -1, 925068506, -1, 984152120, 12019170, 351214479, 234071917, -1, -1, 530503673, 682801955, 155461332, -1, -1, 405019718, 300419858, 209381031, 438970424, -1, 592925853, -1, 666698738, 560637994, -1, -1, 7151708, 996164106, 525801810, 848663055, -1, 973448236, 121911765, -1, -1, 105915758, 352428331, 563788710, 803273204, -1, 207070327, 39622232, 91928878, -1, 318717073, 77907445, 464205119, 56908672, 203086024, 569945115, 136400093, 620032257, -1, 96868271, 671825138, 11622324, 165519905, 824933362, -1, -1, -1, -1, -1, 48559350, 95351384, -1, 381914580, -1, -1, 376294957, 210916398, 793832378, 467844793, -1, 476473834, 426101488, 630387325, 517715865, -1, 61064637, 781605963, 750536980, 334224687, 529408537, 159359226, 859407497, 788131209, -1, 551314374, 420717236, 376525930, 180672891, 128442042, 65302310, 151774940, 349994966, -1, 571709475, -1, 184783583, 872556681, 657036067, -1, 243079185, 901185805, -1, 521351880, 905374142, 3561274, 347673487, 765250227, 419110462, -1, 747790596, 927118530, -1, -1, -1, 815199827, 503521699, 467395181, 245568293, 102987577, -1, 154654941, -1, -1, 325398627, 615949457, 969017871, -1, 219746968, 830403131, -1, 692917268, 182823698, 176325567, -1, 56648070, 755327162, 802921912, 586549400, 544675048, 24019044, 989449921, -1, 526627444, 619764778, 282483748, 387569471, 54194230, 559110905, -1, 454862427, -1, -1, 448404869, 81352635, -1, 496516499, 159748507, 143543610, 155453232, 812193605, 699957030, -1, 361360728, -1, 382202656, 459643074, -1, 542866365, 433742580, 604332163, -1, 956955619, 461556476, 858205037, 94380004, 531918855, -1, -1, 767146874, 591830960, -1, 334359546, -1, 896174986, -1, 417836974, -1, -1, -1, -1, 475464139, 132038753, 433016705, 662797019, 138212744, 557920624, -1, 231196246, 496012705, 46548222, 703846213, 827277812, 577026968, 984750157, 653438495, 759971932, 969407936, 919899327, -1, -1, 666455131, -1, 442801900, 449425129, 325108937, 871346742, 388629171, 571083544, 54175567, 739827366, 414692459, -1, 524965990, -1, -1, 948985085, 365720111, 473416258, 820097423, -1, 766437504, 872327979, 552932104, 388798339, -1, 45744533, 964647442, -1, -1, 642716638, -1, 84503574, -1, 661521530, -1, -1, 359601898, 401368095, -1, 213191468, 761755282, 938370140, 71282118, 696724307, 526179534, -1, 104832870, -1, 951649882, -1, 865449633, -1, 129563797, 257759242, 228781108, 447843292, 847150317, -1, 266901296, 815253512, 837352958, 845673578, 161429541, 951848216, -1, 733134317, 930474390, 431241160, -1, 697472952, 632403070, 751718229, 672605234, -1, 137423243, 415576263, 803679145, -1, 998086182, 70323147, -1, 285396457, 881113874, 969942413, -1, -1, 672483512, 831582341, 52945243, 327660716, 959828557, 86546816, 663311401, -1, 757416165, -1, 882557363, -1, -1, -1, 470482039, -1, 561548735, 84193270, 661314221, 327753813, -1, 686861145, 19525750, 898794642, 817171446, 790746620, 396892014, -1, 239186578, 580437786, 53622840, 59877025, 701044336, 883372623, 996255829, 330789478, 360549775, 706012765, 253137486, 154089006, 35265467, 536920064, 54083490, 749587585, -1, 962769393, -1, -1, 995903922, 119986171, 701695445, 644092064, 79200617, 597193154, 168982338, -1, 517313461, 945715972, 812319170, -1, -1, -1, 844789638, 162664751, 515526630, 337098166, -1, -1, -1, 743565920, 973018140, 765672861, -1, 409344113, 617087025, -1, 309047559, 164460706, -1, -1, 484795588, 445373207, 681234329, -1, 284767032, 702197182, 848867440, 209194245, 215105946, 670526946, -1, 195596942, 9840245, 893830549, 191057850, 756013066, 620781738, 444076227, 194220894, -1, -1, 498581848, -1, -1, -1, -1, 346407198, 161979838, 731058199, 850576525, 202568115, -1, -1, -1, 360783766, 143582545, -1, 891092230, 31827220, -1, -1, 651009998, 196198379, 607304585, 777343425, 48582667, 95071868, 529321741, -1, -1, -1, 639547755, 601297991, 150881166, 978227606, 860219225, -1, 976907342, 825015805, 687013483, 555488311, 576542237, 368328657, 647656979, 306870063, -1, 776181155, -1, 430179512, 357851288, 568503562, 188009177, 189617381, -1, 612089714, 551759802, 402932202, 592788570, 839017521, 27830564, -1, 682303477, 144806903, -1, -1, 638199778, -1, 563324645, -1, 977037398, 912979139, 224684934, 652430924, 179458374, 43880575, 102719411, 493753056, 543339546, -1, 125451855, 816960473, 970600903, 843583783, 808812057, 945515235, 348393240, 9048511, 928294625, 383893348, 10917371, 461058350, 607008073, 222040517, 598750963, 451890446, 949186715, 221836028, 478773282, -1, 494231207, 771718466, -1, -1, 64376919, 305278967, 222088311, -1, -1, 167324692, 407610990, -1, -1, 253431333, 960566486, -1, 467036327, -1, 902776839, -1, 470634251, -1, 565194734, 959280117, -1, 666365026, 417180747, 362320647, 587575767, -1, 437626005, -1, 518903010, 997096520, 169470567, -1, -1, 588458244, -1, 874589641, 272961537, 235257126, 162143718, 636610888, -1, 196210802, -1, 957476736, -1, 174100522, 64829112, 986376210, -1, 53889366, 840017247, 366514600, -1, -1, 955912177, 823118006, 789019888, 957876433, 507021767, 640766758, 873339647, 45132990, 857692008, 334095516, 136376358, 268240009, -1, 502245906, 702833961, 244129926, -1, 361930623, 774919713, 147992805, 61908204, -1, -1, -1, -1, 543315354, 369450268, -1, 51675546, 46255273, 322298365, 22495648, 664822031, 636620728, -1, 216954437, -1, -1, 114746068, 385987127, 589360681, -1, 850342766, 47262501, 240662546, 488164110, 549381422, 7567737, 103550579, 906512250, 911594989, -1, 719325536, 133963280, -1, 455456886, 81449213, 79015303, 969518101, 94539003, 408100581, 108742789, 602618398, -1, 569860796, 376536521, 427195489, -1, 233230415, 445382098, 308576182, 202116173, 812622565, 447109612, 969159630, -1, 498803052, -1, 615753477, -1, 378068050, 164999695, 832897629, -1, -1, -1, 616059953, 248409638, 139537349, 446624154, 459297181, 334783858, -1, 768684704, 927460872, -1, 471656238, -1, 147538137, 874348419, 922371259, -1, 122058121, 890517078, 818988777, -1, 628740165, 771686971, 203736942, 707496214, 461408453, 51308432, -1, 154133311, 445352962, 108357150, -1, 343750086, 65879080, 329186035, 634520382, 742867745, 869261876, -1, 513164494, 444214791, 925969920, -1, 333230396, 869694743, -1, 830579225, 596973090, 472174081, 941039266, 531965291, -1, -1, -1, 817157310, -1, -1, 797314135, -1, 985294722, 741235773, 514808974, -1, 399362809, -1, 444825116, -1, 519710310, 10439026, 982573108, 547225029, 388649911, 35628356, 737169935, 392537239, -1, 158053872, 475209149, 550580755, 326344920, 950779969, -1, 797224685, 999758936, -1, 287571079, -1, 698084512, 803304145, 415337696, 264469689, 721171143, -1, -1, 927493593, -1, 467160038, 806786427, 186596139, -1, 177924879, 638501146, 641363715, -1, 879824404, 362060103, 245641883, 996056442, 989565553, 887872923, -1, 262844604, 383237961, 973411927, 364127366, 494180335, 895493686, 258271414, 358900104, -1, 19751637, -1, 548771349, 656641465, -1, 292723101, 85318292, 915465015, 920200919, 625402328, -1, -1, -1, -1, 357491074, 918769567, 390397470, 21488541, 508031876, -1, 861136394, 693855894, 122220136, 248747935, 196238826, -1, 500300840, 904641240, -1, -1, -1, 650439348, 614154918, -1, -1, -1, 480005460, -1, -1, 123432696, 222783988, 343286857, 119310212, -1, 764323941, -1, 75972640, 616829110, 512663764, -1, -1, 76614951, -1, -1, -1, 217203101, 199995533, 318051385, 150415983, -1, 672599303, -1, 771938192, 86635725, -1, -1, -1, -1, 178176403, -1, 406264360, 903341873, 588178528, 221020758, 26677694, -1, 475460272, 904391717, 202325530, 758422366, 93062718, 743572251, -1, 454851120, 198935876, 284331182, -1, 65053509, 393531233, 812372835, 120135830, 349444747, -1, 527088261, 145104785, 841854222, 949650624, 755284453, 155566957, -1, -1, 633496359, -1, -1, 34288799, -1, -1, -1, 767535845, -1, 597004768, 946533204, -1, 840594101, -1, -1, 810202630, 234780637, 591678813, 362680582, 835667403, 901451968, 796091241, 507197028, 375237837, -1, 933877014, -1, 478107958, 323782547, 948347325, 425234919, 759404007, -1, 21391318, 170404803, -1, 988113119, 434812074, 272245668, 509679727, 472422821, 620792326, 894408210, -1, 380674443, 430208051, -1, 837566720, 228437094, 836854461, 78568608, 256657781, 702582855, 212305792, 858827429, 910776108, -1, 185803793, 709838429, 383808265, 565121545, -1, 232515088, 785228380, 182744116, 249112092, -1, 713378289, 487402986, 640230516, 927874398, 581764665, 449414948, 871801911, 124287543, 862139167, 450306983, -1, 456309089, 48501081, -1, -1, -1, 907304928, 822436093, -1, -1, 159591444, -1, -1, 259048708, 671856733, 281827808, 692921794, 954256934, 536664874, -1, -1, 873380091, 627470032, -1, 537737182, -1, -1, 849518376, -1, -1, 74059911, 816385405, -1, 480557020, 661981498, 359692019, 691013801, 586785322, 4631097, 377057998, -1, 546190184, -1, -1, 477905446, 868753855, 186606160, 510062792, 460502799, -1, -1, -1, 502086220, 677056060, 697371242, -1, 236029644, -1, 319612227, -1, -1, 236895338, 505643535, -1, 672419074, -1, 748238521, -1, 928994626, -1, -1, -1, 921289196, 897570760, -1, 954957446, 442356844, -1, 554284787, -1, 830156488, 158696149, 139457381, 912763348, -1, 447409865, -1, -1, 246310930, -1, 6913963, -1, -1, -1, -1, 953742452, 719135354, 609176836, 685909196, 601031479, 340752710, 312901117, 533028749, -1, 618038871, -1, -1, 126101932, 711378958, 80006372, 681174153, 776178754, 898885793, 841804175, 814470812, 459670646, 681864968, -1, -1, 39287047, -1, 640656877, 299521096, -1, 237657933, -1, 680017321, 152522470, 701142222, -1, -1, 450087879, 619035170, 3370506, -1, 243745771, 977031444, 860103720, 135688962, 684097441, 247281968, 667038098, -1, -1, -1, 82295826, 444446499, 410458460, -1, 514610538, -1, -1, 683959031, -1, -1, 690096923, 257426384, 663675943, -1, 721018390, -1, 462961377, -1, 493164295, 123094345, 580662674, 867424857, 172154883, -1, -1, -1, -1, 440631435, 521859283, 787571711, -1, -1, 906507379, 781122187, -1, -1, 43194926, 748863714, 669182206, 219715614, 716239393, 920369997, 763208874, 764607105, 752651461, -1, -1, 551680039, 90641264, 474812800, 395654270, 477745612, 41167959, 459506499, 824471680, -1, 807424153, 133856275, 293900013, 503083593, -1, 437690520, 370442796, 414719823, 572271311, 941261010, 375854087, 220820913, 566639346, 550174858, -1, 741291371, 851309767, 274918668, 616483768, 683052096, 979076544, 366719925, 371767529, -1, 757665215, 699756745, 302394939, -1, -1, -1, 495202671, -1, 902772423, -1, -1, 28955328, 261185076, 226555534, 783138062, -1, 743137367, -1, 490479505, -1, 521604624, 52502469, 800520843, -1, 397684002, 536458112, 364838133, 745750215, 448786904, 644230626, 699089838, -1, -1, 853983729, 362152465, 849598247, 984104515, -1, 234389933, 815313822, 51868276, 106640442, -1, 123720284, 638502959, -1, 84049077, -1, 254141284, 221697300, 450707300, -1, -1, 702905560, 224473395, 21706379, -1, 813040413, -1, -1, -1, -1, 180828035, 10877863, -1, -1, 507307074, -1, -1, 229762937, 926408353, 291886836, 637943866, 364693458, 683666973, 802978192, -1, 215771132, 554873911, 393345258, 818411838, 455712727, 303708044, -1, 814014363, 946766987, 890330970, 532008848, -1, 787705976, 677705127, 364603402, -1, 505197678, 879966596, 111010626, 325332416, 42931652, -1, -1, 147985807, 762867540, 81071248, 775916864, 954226424, 841684547, 671732737, 32572273, 614005534, -1, 932694577, 351416441, 504723918, 711053666, 9505772, -1, 852932108, 981426051, 119482342, 735181075, 849630818, -1, 545515063, 689569491, 136944029, 911312753, -1, -1, -1, 82407852, 951231372, 721052716, -1, 211858407, 375912989, 297629651, 213879190, 417193588, 515881464, 415322666, -1, -1, 937675788, 587309593, -1, 470602394, 577002507, 837058422, -1, 360408783, 947907427, 64137628, 793499738, 784406000, 26711347, 523499918, 948908433, 735524118, 102196185, 300724980, 923561051, 374699436, -1, 465559786, 627236113, 596901752, 659134854, -1, 282061598, 664060270, -1, 592640494, 319872096, 118043482, 919280402, 892417329, 795556002, -1, 367905483, -1, -1, -1, 233638014, 437901044, 508827736, 222821209, -1, 844881296, 177801952, 908397322, 123407621, 983198395, -1, 54458915, 420781955, 171008426, 853275566, 835904388, 403381163, -1, 60398039, 216258156, -1, 885977374, -1, 794003861, -1, 112775996, 905944357, -1, -1, 391144209, -1, -1, 675946538, 933396367, 99937159, -1, 458413369, 224386059, -1, -1, 239076909, 877744978, -1, -1, -1, 606250845, 555419362, 783193481, 757321614, 861647970, -1, -1, 972933419, -1, 986467602, 634676826, 159115857, 975618425, -1, -1, 861765419, 924809563, 378796777, 921317406, -1, 137930338, 695218127, 838078236, -1, 767063969, 45122352, -1, 193705436, 138435837, -1, 657769360, 989242316, 822044465, 116042531, 757247364, 735316830, 195574870, -1, 734537782, -1, 940296586, 888245639, 770898333, -1, -1, -1, 875170504, 744323966, -1, 696099883, 971049947, 112810622, 603469064, 884504128, 136195223, -1, 567630617, 278310397, 393506878, 785995455, -1, -1, 597131978, 939246096, -1, 761945254, 396226989, -1, 634974746, -1, 56908476, -1, 915456468, -1, 829959413, 116952234, -1, 81913992, -1, 734790216, -1, -1, -1, -1, -1, -1, 180997425, 306750175, 445168815, 663803800, 500206658, 577209033, 957034986, -1, -1, -1, 834279429, 229704607, -1, 61820659, -1, -1, 315458428, -1, -1, 866413694, -1, 957557074, -1, -1, 70186775, 662154145, 714896914, 160181785, 460290545, 574859800, -1, 873750309, 867036498, 938061983, 908195886, -1, 879387456, 62210124, 45601244, -1, 527463334, -1, 872861025, -1, -1, 188250462, 208429445, 860945165, 424316538, -1, -1, 922462264, 997012550, 826001672, 460703000, 491632258, -1, 99060919, -1, 932003824, -1, 600874949, 48711699, -1, 198081832, 308733475, 996228338, 268299237, -1, -1, -1, 754179769, 956080139, 721120267, 485718183, 709500509, 241154704, 726535138, 784902772, -1, 795297423, -1, -1, -1, 916983600, -1, 836449336, 78239599, 924930639, 656347621, 146362961, -1, 789045225, 800899323, -1, 637735794, -1, 187548447, 447824645, 56252695, 873057998, 805245423, 426663020, 28150987, 974884949, 725746620, 236414951, 867120521, -1, -1, -1, 312921985, -1, 312014150, 602362249, 53143543, 678221793, -1, -1, 760794121, -1, 796037626, -1, -1, -1, 181021221, 865857030, 993625467, -1, -1, -1, 157487304, 613458232, 235084360, 566065568, -1, 771479647, -1, 824001743, 307767402, 139049076, 443949141, 476833295, -1, 926731478, -1, 105967081, 884443402, -1, -1, 690433812, 195671750, 116942222, 247933487, -1, -1, 907236810, 228249498, 723471323, 787464952, -1, 6896509, 199096940, 766983873, 219862783, -1, 709243174, -1, 902134627, 258578530, 894386069, 452587440, -1, 316713961, 614098156, 241036128, 922117229, -1, 697763343, -1, -1, 463390645, 449364727, -1, 770730762, 841993413, 524572382, -1, -1, -1, 494709427, 267132563, 146587669, 167558225, 899648143, 282303186, 380039341, 934074444, -1, -1, -1, -1, 190469745, 31106051, 959981150, 593667204, 811418528, 78692230, -1, 287660631, -1, 328333773, 847888495, -1, 66462445, 68978599, -1, -1, 983191787, 285329254, 466564469, 248677141, 582241979, -1, 371196803, 782451883, 978474201, 487499566, -1, -1, 284369245, 592857132, 872416123, 434238109, -1, 93864606, -1, 999398466, -1, 948713168, -1, 303907337, 763261861, -1, 141526167, -1, 267936313, 678164227, 705243500, 423628519, 569862804, 139892837, 912930985, 460220226, 10562213, 772647275, 444431981, 428833246, 213129715, 96368451, -1, 84202488, -1, -1, 792661952, 769437554, 797684619, 810000003, 176679647, -1, 857192265, 187968210, 478038787, 443449462, 49400565, 504417691, -1, 861628140, -1, 417216117, 130003970, 353229776, 20549193, 590495208, -1, 531928198, 529898948, 207192743, 159609239, 762083322, -1, -1, 978552824, 901991545, 413451456, 451478403, 15604235, 891059052, 704495749, 637285988, 912762873, 245750355, 117972636, 266175773, 297967237, 365011567, -1, -1, 702554880, -1, -1, 604708781, 964994189, 399336111, 267318605, 899007582, 208768183, 282337680, 323093946, 200451778, 554508150, 551072056, 283092388, -1, 866963052, 393478093, -1, 289203932, -1, -1, 999090069, 252516900, 320903774, 466645118, -1, 639552246, 366447859, -1, -1, -1, -1, 672029758, 600745215, 515465853, -1, 891192236, -1, -1, 61338499, 21963706, 460905464, 160612256, 425677577, 621855227, -1, 416228613, -1, 64188824, -1, -1, 974602525, 897851190, 459089884, -1, -1, -1, 376201243, 907778610, 794208666, 562398067, -1, 531180744, -1, 840764014, 676703028, 949631097, -1, 56927851, -1, 292652309, -1, 465473001, 337884195, -1, 946092207, 958045093, 639491175, -1, -1, -1, -1, -1, 413961355, 229002840, -1, 862903115, 983444115, 295781186, 921035306, -1, 884434183, 139248841, -1, -1, 720671524, -1, -1, 964554629, -1, 99079649, 346134775, 922705678, -1, 890209514, -1, 185992145, 380389405, 561783110, 313822840, -1, 335371842, 302546223, 200658777, 193664300, 114385198, 826079071, -1, 707556188, 792629655, -1, 946613882, -1, 673691680, 824120237, 188963669, 284535919, 79359792, 465189573, 583389707, 589393097, 742849340, 667183885, 530157209, -1, -1, 599820216, -1, 493980651, 78073842, -1, -1, 110080564, -1, -1, 478567054, -1, 594593106, 325200019, -1, 514774962, 542619519, -1, -1, 82585097, -1, 777501901, 922083057, 699991373, 890204403, -1, 164686160, -1, -1, 11452686, -1, -1, -1, 494381240, 600378391, -1, -1, -1, 730842656, -1, 369189909, -1, 35443819, 180737009, 888970346, 429674922, 860636974, -1, 116848172, 302066805, 801269012, 741597876, 447352193, 342717675, 623926212, 305541132, 509135089, 681503108, -1, 777789398, -1, -1, -1, 685671694, 303655794, 339111528, 773933814, -1, 249641272, 573054414, -1, 722114210, 411166255, 223202751, 186855326, 847306005, 760435309, 182980107, 857758091, 410431955, -1, -1, 358280601, -1, -1, 19761400, 120239886, 288480041, 131208374, -1, -1, 522182318, 699700454, 280922400, -1, 278675455, 671250174, 584996891, 452643605, 44737477, -1, 993405735, 524678952, 858152982, 63941833, -1, -1, 495750416, -1, -1, 904998957, 796303534, 839567496, -1, -1, 995459423, 901853526, 621442114, -1, 476712684, 675660025, 154237535, 778071525, 452486575, 544451617, -1, 720994644, -1, 22577448, -1, 910276540, 598390424, -1, 976730568, 853697309, 302591102, -1, 29640952, 981772780, -1, 2919531, -1, 34357730, 257061616, -1, 341343845, 992905922, 850341425, 322512940, 22048545, -1, 239637773, -1, -1, -1, 918037204, 868982052, -1, -1, 881736265, -1, -1, -1, 691089907, -1, -1, 783543215, 884496343, 666788540, 343454757, 40595026, 445719071, 662280743, 981580302, 137294269, 613161207, -1, -1, 727996445, -1, 994106166, 29789620, -1, 195317221, 526479987, -1, 357405867, 443993785, 691337164, 306137768, 983082033, 979298426, 78652270, -1, 947547558, 506879050, 865774259, -1, 509280949, 939148465, 928593538, -1, 534019557, -1, 535453822, -1, -1, 286765648, 526034499, 407367934, 914395263, 144548912, 116101974, -1, 506439443, -1, -1, 517081694, 380293553, -1, 560034973, 786377783, 167154754, 626488978, 927490319, 820039481, 596011679, 564868628, 116989750, 133010371, 317544236, 806462346, 157713314, -1, 932098619, 54398915, -1, 253909086, 323452501, 180606536, 481705913, 974051923, -1, 701795971, 228113194, -1, 933998117, 153108104, 191097922, 627909791, 568753120, 664156435, 372938292, -1, -1, 428908062, -1, -1, -1, 298669183, 726878337, -1, 555272778, -1, 490268978, 804320289, 738821097, 231352143, -1, 15048693, -1, 24622157, 904141632, -1, 123259860, -1, 336581340, -1, 785830688, 749451002, 552618505, -1, -1, 391412249, -1, -1, 73950130, 971306469, -1, 871411912, 347551603, -1, 706046422, 711099461, 326220282, -1, 347603418, 19106216, 890472074, 769846970, 921713318, 875463738, 83288186, -1, 57643434, 909715089, 819368621, 691806806, -1, 377439016, 954977747, 574105098, 708398026, -1, 824391253, 893042748, 846573997, 149092291, 93856434, 824466476, -1, 625231281, 111118710, -1, 117258885, 131019246, 917549223, 439260792, 935146209, 208500546, 30801638, 636814807, -1, -1, -1, -1, 824496725, 368698669, -1, 214663024, 968939112, 535172475, -1, 745904948, 38198457, 42887892, -1, -1, 330825597, 214711139, -1, 372508333, 522472045, -1, 253364336, 934564222, -1, 602268406, 11687008, -1, -1, -1, 460645264, 300221918, 806831550, 629014043, 173288812, 911260264, 489114361, -1, 162331209, 382297371, -1, 459661486, 695465533, 83166746, 716816849, 274268282, 124409336, 36367248, 474201044, 630098215, 564782436, 377202804, -1, -1, 361400339, -1, 259331815, -1, 571829141, -1, 76070796, 241924927, 750683427, -1, 185312897, -1, -1, 660082418, -1, 159399620, -1, 279078804, 52623925, -1, 807683338, 324156625, 55789457, -1, 346995277, 271123473, -1, -1, 758636956, 265539607, 498565496, 830814189, 672223907, -1, 358485210, -1, 793140083, 426315744, 190933517, 122604357, 962950401, 979990801, 389775538, 842418715, 201829855, 443139206, 708868850, -1, 807708482, 471080429, -1, 710676045, -1, -1, 135001602, 461786318, 475458604, 474210679, -1, 745082235, 969913576, 974023401, -1, -1, 46845712, 788214082, -1, 196874916, 198495302, 159025839, 695284886, 242391761, 698954886, -1, 857434254, 352295623, 420576214, -1, 444312867, 941646757, 684407745, -1, -1, 332863194, -1, 986735828, 569329110, 571209011, 191310277, -1, 982886382, -1, 635241932, 175209704, 72317537, 286311440, -1, 147939123, 688255764, 770916850, 27007205, 775951056, 418819937, 401448857, -1, 805944511, 84454314, 696769567, 239930685, -1, 369404912, 316071555, 508824425, -1, -1, -1, 966726536, 102760424, 829652192, 228610259, 688253359, -1, 19350624, 336621891, 574493132, 621965026, 827828894, 85296750, 980300644, 245008942, -1, 326265193, -1, 94087498, 522982742, 548819748, 345995951, 445568659, 485133709, 212968932, -1, -1, 926087122, 89787536, 175652839, 992536132, -1, -1, 246998787, 952561669, 251754725, 608818074, 375451917, 132052601, -1, 738016708, -1, 604706914, -1, 24396535, 162468879, -1, 171753401, 899968197, 902921789, 705109479, -1, 403712269, 558575238, 909837871, 623906598, 835440178, 290435676, 547114687, 705226543, 257094157, -1, 146244374, 114548880, 64709803, -1, -1, 366883145, 359425246, -1, 789086528, 160744601, -1, 392081298, 380093641, 971397358, 144281099, -1, -1, 386331117, 238651748, 852110523, 635262162, -1, 151212746, 882515642, 82866473, -1, 233412300, 832978197, 314847811, 791617190, 70236170, 888059385, 630284467, 522949551, 71135312, 354865010, -1, -1, 856386772, -1, -1, -1, 971268795, -1, 959857823, 222179487, 860952800, -1, 136513196, 788366356, 210244754, 137057403, 906715525, -1, 770031273, -1, 450671554, -1, 346158234, 750220232, -1, 884942527, 644408321, -1, 585506743, -1, 638356238, -1, 806728811, 778268131, 680448677, 320644908, -1, 719301230, 489380538, -1, 383358210, -1, 257965178, 130590086, 323807994, 515413263, 197452634, -1, 225051861, 720292732, -1, -1, 189319222, 656944385, -1, 162521056, 871577236, 338438511, 643178125, 649785975, -1, 599648674, -1, -1, 817390489, 559148014, 655594567, 68064007, -1, 232899318, -1, 30822348, 113543893, -1, 668769841, -1, 712850577, 900742273, 777751106, -1, 837565039, -1, -1, 367258698, -1, 346141738, -1, 249942100, 447267508, 715677680, 884610324, 421330227, 766546831, -1, -1, -1, -1, 85272021, 319906854, -1, 254508375, -1, -1, 420172176, 856510593, -1, -1, -1, 222552777, 261550911, 711548294, 308600968, 96635757, 470263508, 1005684, 567393222, 536835317, 209435887, 560817763, 56648083, 636428084, 391806584, -1, 881161922, 892605212, -1, 569629585, -1, 570945500, 963862398, 716988989, 711745297, 919835076, -1, 770799499, -1, 472135250, -1, -1, 338840612, 831790846, 460634050, -1, 308990550, -1, 458778659, 307141912, 735167104, 868074451, 438984836, 662992223, 314460559, -1, -1, -1, 878331236, 630512235, 876387598, 180400596, 222629446, 507338607, 188912411, 44234611, -1, -1, 828910033, -1, 950394094, -1, 549689358, 615602210, 528131884, 359832655, 686047351, 752497307, -1, -1, 345535336, -1, -1, 40232229, 269249445, 256420642, 778924587, 83451116, 490811790, 251661976, 884745473, 167399035, -1, 438506200, -1, 468790971, -1, 740525823, -1, 798656286, -1, 689969276, -1, 937804247, 849734479, 876987862, -1, 108881175, 121098224, 413476860, 367298528, 260839286, 966468054, 599641794, 214200101, -1, 725725804, -1, 399147739, 500894033, -1, 26185798, 350546332, 335675992, -1, -1, -1, 998304614, 272280420, 10477713, 888887215, 707834777, 81334303, -1, -1, 611925793, -1, 752129982, 715782920, 577008905, 834379664, 780083216, 580249962, -1, 854598219, 324125431, -1, -1, 803768690, 553854784, 816450492, 692225052, 636745840, 588305959, 312690159, -1, 149099968, 605343125, -1, 493239938, 135823972, 835240531, 929190729, 934984108, -1, -1, 398396826, 613047714, 213596671, 419589892, 411954781, -1, -1, -1, 876089733, 285464960, 961058134, 239813000, 23391968, 598495659, 535135464, 599871019, 775159480, 55497267, -1, 87906009, -1, 471974927, -1, -1, -1, 474557679, 157850962, -1, 633636363, 283149974, 33725420, 602708454, 596434670, 971697267, 307232876, 369435913, 564013118, 195431706, 727428865, 359002288, 824462276, 375542787, -1, 910421513, 310329478, 931985100, 378101630, -1, 427804320, 57463808, 64585721, 485957520, 126897235, 807866784, -1, -1, 619897920, 250527002, 422321204, -1, -1, 208068734, -1, 291137260, 232266511, 337949822, 979183415, 970132555, -1, 769396235, 824206301, 196540645, 855508465, 674217233, 875222424, -1, 296639652, 929224176, -1, -1, 944593089, 802627847, 877442503, -1, -1, -1, -1, 781596665, -1, 662266591, -1, 90348733, 955197346, 227907404, 211026459, -1, 789157110, 348079614, 308049404, 119618302, 468767795, -1, 589230199, 956245214, 198519222, 125917012, -1, -1, 430735646, -1, 394929293, 640046729, 24813348, 837411948, 416136910, -1, 221186770, -1, -1, -1, -1, -1, -1, 464800076, 739240356, -1, -1, 633209742, 851500672, 655609727, -1, 157826259, -1, 368296162, 192591941, 306097427, 852867876, -1, 519068182, 418923588, 44598124, 223608669, 674186383, -1, 847041676, 517828478, -1, 692990225, 291037543, -1, 102507759, 213210755, -1, 845372345, 303546916, 893779867, 381683354, 314376492, 583402369, -1, 341630503, 791666777, 436378660, 789826054, -1, 157907772, 38087260, 43099437, -1, 912616238, -1, 598073167, 874387664, -1, -1, 798249238, 157144331, 524501946, -1, -1, -1, 703089966, 905385090, 714431410, 749384362, 170069582, 89723322, 520841425, -1, -1, -1, 599162652, -1, -1, 463606008, 681656017, 510699565, 622289268, -1, 428221249, 366652191, 35172587, -1, -1, -1, 391763686, -1, 514927866, 782439501, 216389703, 750193297, 22853622, -1, -1, 324239654, 703199829, 55682388, -1, 204281160, 148457178, 690528108, -1, 949511924, -1, -1, 747601853, -1, 395560420, 846785310, 572503388, 609712470, 907920327, -1, -1, -1, 933827651, 53300768, -1, 421339777, -1, 871937569, 864805490, 694162587, -1, 748865930, 180804580, 488368884, -1, 395659299, 387104424, 638283421, -1, -1, -1, 646638784, 603541451, 213703173, 306414085, 359226105, -1, 933553621, -1, 343812609, 870569004, 959801104, 498212105, 153385941, 826094156, -1, 301295014, 54788651, 64960844, -1, 647352113, 238833260, 14822165, -1, 41544747, 113517829, 564729097, 963798445, 547399707, 220359125, -1, 356336419, 995597670, -1, 385017284, 190884130, -1, -1, 555707468, 911336302, -1, 677438716, 300678771, 584271764, 513541940, -1, 529136369, -1, 978922937, 835035403, 539951068, 790554721, 916085655, 302699318, 457441094, 931980571, 287841433, -1, -1, 735221438, 962488412, -1, 487207863, 211904568, -1, 75830145, 136193009, 572649407, 9507128, 547058672, 674190854, -1, -1, 553750974, 978082887, 281266299, 120489043, 291124431, -1, -1, 102410990, 722705924, -1, -1, 781418985, 710353619, 912918799, -1, 363395695, 852876839, 573901507, 781251996, 74865412, -1, -1, -1, 852506119, -1, 704495539, 748781017, 267365119, 476934182, 491640349, -1, 794764159, 378898080, 996495185, 528009230, 556138717, 46373852, 623075795, 821519888, 852573097, -1, -1, -1, 869104890, 577750553, -1, 528462488, 195465786, 176877675, 240879834, 764743190, 42311838, -1, -1, 822779354, -1, -1, 571707734, 741448689, -1, 975062156, -1, 811973094, -1, 715349301, 553350052, 289454879, 950015844, 322448358, -1, -1, 381148970, -1, 144281591, 19414090, -1, -1, -1, 639363122, 787329124, -1, 619010066, 160818432, 476636245, 980039503, -1, 943115747, -1, 378368299, 551088643, -1, -1, 624374513, 885889223, -1, -1, 580356713, 251303298, 839877849, 124405771, -1, 53591909, -1, -1, -1, -1, 888270720, -1, -1, -1, -1, 612996830, 727134947, -1, -1, 361213554, 31370272, 101926897, -1, -1, 697147867, 313979210, 664370193, 848079409, 890967147, 58590991, 296431594, 922305345, -1, 817366723, 186380200, -1, 659895694, -1, 428473967, 851670831, 509939359, -1, -1, 104355630, 47818695, 571950139, 600015772, 506195904, 454065514, 955896897, 762964721, 655782707, 61254411, 256117991, 106821196, 904005838, 335867393, 820963290, 520182604, 814935627, -1, -1, 173540266, 996241157, 227406544, 709192935, 301673550, 294662916, -1, -1, 682565830, 604708144, 987564238, 262265414, -1, 519447221, -1, 763230747, -1, 845221895, 267157472, 67846696, 523638675, 463035867, 204603013, 963398219, 619818569, -1, -1, 806451888, 442846204, 953803844, -1, 717769160, 513491916, -1, 575613756, -1, 866480327, 63760001, 943004888, -1, 356760774, 707829947, -1, 606489330, 83960316, 213617357, 75736448, 609073996, -1, 891356553, 503514706, 805596493, 545725696, 212247853, -1, 193505796, -1, -1, 137349315, -1, 715960944, 689707579, 247846656, -1, 850316385, 355295920, 170751488, 106100776, 673020967, 839038935, 230718569, 307375045, 295415718, -1, 271740230, -1, -1, 522261802, 152305194, 380249075, 976520314, -1, -1, 687689559, 643199413, -1, -1, 407552032, 196622558, 955824339, 538131054, 163978189, -1, 603413845, 745141784, -1, -1, -1, 514299337, 723190857, 858556362, -1, -1, 851293304, 664631900, 977554224, 54420955, -1, 540502062, 350389932, -1, -1, 922759932, 371310844, 631770257, 979508695, 309018547, 410148142, 431098300, -1, 202640218, 766872118, 137554401, 945592438, 591064929, -1, 311563649, 27033205, -1, 964555453, -1, -1, 489712140, 306013584, 682644801, 522348370, 819041032, -1, 301634687, 702683034, 78722688, 719953181, 91728680, 263831413, 398135944, -1, -1, -1, -1, -1, -1, 633834797, 685537131, 305837619, 126215027, 526262741, 802573069, 947089746, 830875854, -1, 744784683, -1, 415146025, 30794472, -1, -1, 741975745, 579425715, 125161258, 338641502, 341035317, 865238853, 698897845, -1, -1, 784857329, 352017386, 4504321, 986869509, 44293949, 97216064, 416141545, 176410948, -1, -1, 299614326, 878098738, 124815383, 829447863, -1, 129844596, 977396541, 269555217, 974584980, 548008235, 272379191, 426289306, 286667033, 251800923, -1, 321415015, 642652237, 245873265, 65583820, 765824528, 619495635, 270277509, 480625760, -1, 487716964, 41201183, -1, 18609867, 783302699, 818681119, 183157613, 272095786, -1, -1, -1, -1, -1, 268291770, -1, 671471045, -1, 914619859, 667310103, -1, 239861057, 132927230, -1, -1, 166751814, 816945421, 155045037, 699418073, -1, -1, 500895945, -1, 463521950, 650592985, 876634341, -1, 233063513, -1, 692397151, 172587185, 922330235, 676438665, 818745916, -1, -1, 807148626, 561292375, -1, -1, 785838176, -1, 677599181, 827362163, 812609789, 734204328, 443764895, 96227846, 384441960, 39254217, -1, -1, 297491892, 369996313, 344320213, -1, -1, 381692899, -1, 733578753, 147678725, 890519518, 908688201, -1, 972606460, 354698855, 243442960, 650612668, 798819842, -1, -1, -1, 925026878, 906449766, 485062884, -1, -1, -1, 914192813, -1, 486591926, 454156391, 616070555, 328289538, 204597893, -1, 676495495, -1, 340935702, 704083959, -1, -1, -1, 508997696, -1, 197572137, 963755826, 270741253, 759629482, -1, 651841676, 212786512, -1, 270157212, -1, -1, 441000735, 762508032, -1, -1, 811695073, 107765161, -1, 837756405, 586204787, -1, -1, -1, 227145001, 537046585, -1, 702891028, 764757628, -1, -1, 328024828, 489408722, 942854980, -1, 924207478, 975653794, 603026392, -1, 357933969, -1, 657645511, 626328736, -1, 844671388, -1, 93244070, -1, 796202949, 336280055, -1, 676905739, -1, 43275013, 847312163, 402880754, 833980889, 74113528, 408830875, -1, 429916628, 390051662, 643457453, -1, -1, -1, -1, -1, -1, 719633912, 784716198, 273822372, -1, 197957252, 536891794, 195582128, 989387726, 10814739, 825567504, 229879536, -1, -1, 252291512, 999758911, -1, -1, 366502944, 809594398, 584367605, 11265183, -1, -1, 858829753, -1, 205430380, 908724630, 290830005, 346430590, 429038910, 346035567, -1, 83316521, 124691908, 130889668, 497066890, 407632720, 334628446, 430677405, 828369877, 946199244, -1, 714793916, 997290564, -1, 75330870, 616790420, 795212038, 800652414, 992864799, 560480741, -1, 790463390, 487485082, 71647569, 170361988, 575754835, 270019398, 8833611, 68346843, 377026078, 132674135, 814279415, 851836272, 411475801, -1, 755517650, 625715111, -1, 137249358, -1, 440627422, 330137018, 369696328, 532978276, 566992295, 256293623, 669119318, -1, 345013759, 242979792, 171778018, 766929262, 915079905, -1, 657248371, 417795831, -1, 3119588, -1, -1, -1, -1, -1, -1, 976040411, 930690494, 558474442, 309587, 969955754, -1, -1, 184585525, -1, -1, -1, -1, 963529035, 261423590, 170897792, 505929427, 270623238, -1, -1, 426386062, -1, -1, -1, 146739684, 229260749, 542029088, 692888078, -1, 51982137, 660460872, 195124803, 7669079, 922466357, 588208946, 633386340, 822169661, 452625000, 553748321, 194942613, 621018911, 407644982, 750930632, 921945770, 822203020, -1, 549140485, 581702224, 76207687, 554188136, 20481849, -1, 598445683, 634537081, -1, 820396298, 689204519, 769550614, -1, 639645575, 623069792, 953484963, 944265055, 638909581, -1, 905583407, -1, -1, 245678270, 741929766, 9484656, 837129356, -1, 679388121, 23786418, 851734928, 14011384, 701182243, 65737502, -1, 716777072, 914354842, 915003160, 462330211, -1, -1, 796514693, -1, 416815674, 798839626, 949484626, 6019919, 212695742, 205842947, 283741895, 628642358, 225869993, 73757707, -1, 833969606, 548063503, -1, 528128897, 277070519, -1, -1, -1, 374318234, 386478423, -1, 234020652, -1, 397491053, 513934988, 520925960, 374105416, -1, -1, 584485328, -1, 659503719, -1, -1, -1, 715839688, -1, -1, 879695340, -1, 317627497, 938165867, 76911734, 853190606, -1, 606625805, 14543389, 121776068, -1, 540191929, -1, 322364318, 260201410, 894152080, 906459134, -1, -1, -1, -1, 485379890, 825884669, 915336262, 738220428, 987032714, 662955797, 419331685, -1, 714514943, 353924962, 845057077, 29287171, -1, 601057254, -1, -1, 126742823, -1, -1, 548440332, -1, 811994531, -1, 625969321, -1, -1, 465192908, 102299867, 318408432, -1, 696480504, 879057822, 996171614, -1, 909893353, 434141154, -1, 379736771, -1, 550514402, 579453765, -1, -1, 726488098, -1, 79618595, 136619544, 290238065, -1, 701412088, -1, 462820265, 193747903, 759556744, 657046862, 401298516, 294185927, 145358944, 448397625, 538031856, 368551057, -1, 332292947, 988555446, -1, 362565596, 146969300, 984865341, 257307466, -1, -1, -1, 485332202, 368289450, -1, -1, 412490912, 177268827, 838604688, 882374691, -1, 302227536, 743914420, 107053602, 839655474, -1, -1, 513832075, -1, 303823941, 249218231, 483857172, 679512195, 738503713, 780945146, 250137851, -1, 701776491, 808686823, 241431500, 13186492, -1, 38101187, 695059982, 749643386, -1, -1, 64703451, 463241944, -1, 566517097, 248928562, 746242754, 73421311, 558415999, 379557252, -1, 249518044, 337540976, 571127153, 69394474, 398125067, 329013337, -1, 82421050, -1, 976205435, 120559362, -1, -1, 843196778, 46381001, -1, 118682143, 253320553, -1, 16681413, -1, -1, 489326286, 780755626, 141290236, 184264638, 139357229, 694653152, 544832099, 31513909, 724117122, 283994978, -1, 335568739, 172696638, 498692420, 598772462, 121866321, 835952998, 37911053, 109035292, 858568327, 521075418, 901824809, 74852930, 673393887, -1, -1, -1, 443831132, -1, 145146775, 672168520, 928226175, 327938209, 988005839, 387260565, -1, -1, 808195341, -1, 710803527, -1, 918015287, 130829930, 519458710, 700803799, 798305947, -1, 706120614, 846247126, 129000303, 715690670, 162059786, 154446859, 531344924, 962657887, -1, 654452374, 788806571, 4615349, 147552780, 122973882, -1, -1, 711984798, -1, 981945856, 369113548, -1, -1, 752595381, -1, -1, -1, -1, 349896216, 774446389, 119880879, -1, 375306894, 327759508, 536044961, 138205965, 130627198, 899243567, -1, 869234763, 259375044, 872392165, 547968462, 220024528, -1, 25492898, 402630078, 270904164, 3652502, -1, 597729023, -1, 881452532, 462271083, 546671223, 155887393, 252750096, 307232981, -1, 591722547, 658924238, 480717955, -1, 442344794, 932572246, 862144707, 218467025, 594949101, 462199151, 649315743, 859404878, -1, -1, 345666915, -1, 369544700, -1, 252135258, -1, 977255353, 992054164, 586611611, -1, 243785843, 459665685, 810236832, 624561209, -1, -1, 197929230, 842781767, 236479437, 610736031, 303177075, 826216690, 145817689, -1, 792349077, -1, 77693352, 560680916, 439510601, 234573885, 489404117, 291396584, 308308106, -1, 110429291, -1, 178252013, 44207210, -1, 418893578, 710008657, 279075258, -1, -1, -1, 833313803, 783035293, 616712535, 279427037, -1, 835003467, 374981733, -1, 928816135, 164097543, 13709883, -1, 926720947, 420911229, 347556308, -1, -1, 438256367, 367070095, 858407809, 24010650, 365824626, 360730693, 438123159, -1, 105393954, 711268883, 635686511, 738263299, 170223068, 143030463, 309852238, -1, -1, 134154046, 104766636, 466012568, 174924475, -1, -1, 251158785, 898980361, 793395194, 820734327, 582223955, -1, 763680496, -1, -1, 521831423, -1, 62675466, 883579424, -1, -1, 401160608, 183769011, 930202867, -1, 584784731, 902856986, -1, 683972889, -1, 43008460, 727012242, 715831555, 203411586, 201624473, -1, 30275548, 129312191, 156541648, 909186873, 609160576, -1, 347509843, -1, -1, -1, 213603072, 859957423, 880535061, 30720499, -1, 364885553, 999600230, 630932524, 915698682, -1, 331202769, 349836552, 614395943, -1, 360907528, -1, 93579024, 740730335, 938380625, 809472641, -1, -1, 545927711, 59700989, 118021559, -1, 166871, 21894422, 363776822, 976880346, 545301404, 457349600, 946908365, 567146308, 443227747, 175406115, 542901058, 287980147, 412799732, 518272055, 753114297, 8298343, 737267025, 916110078, -1, 623050413, 46885773, -1, -1, 759721361, 408035736, 819590504, 815694058, -1, 909109485, -1, -1, 134325052, 12195881, 131090112, -1, 175763404, 258736702, -1, -1, -1, -1, 474386251, 433771074, -1, 346235344, -1, -1, 822810709, -1, 506522244, -1, 174098875, 705631040, -1, 538078612, 825539161, 711545873, 723585704, 202570400, 973423097, -1, 9081038, -1, 385798322, 63164757, 561958881, -1, 471847071, 798771222, 671466008, -1, 555423871, 638722775, 305503656, 781753036, 768231854, 87923233, 949210496, 68368044, -1, 545160652, 450778456, 120887506, 165740518, 935167252, 29291432, -1, 587368533, 55246746, -1, 417357976, -1, -1, 868230290, -1, 804828139, 951505082, 301378402, 986746113, -1, 433185158, 677414201, -1, 966889935, 159629533, 90562787, 280742149, 525053788, 495215678, 449970553, -1, 24262527, 194732716, 994770718, 151957392, 192369097, 101319536, 270720658, 982108584, 150713611, -1, -1, 633833596, 119191373, 344262156, 326967562, 646424158, 235805763, 770862136, -1, 389024181, -1, 231304897, -1, 635652225, 998865099, 452821014, 282240154, 534286197, 393424218, 323062841, 675252059, 319365788, -1, 478214301, 368672589, 727927823, -1, 16557280, -1, 403297240, 96074291, -1, -1, 608095798, -1, 888429536, 233461138, 92219581, 444513844, 489576588, 539096288, 755258757, -1, -1, -1, 803175553, -1, -1, -1, 265572241, 761530522, 926752818, 209361103, -1, 683920867, 844938795, 459899047, 192560989, -1, 594205385, 58022281, 932153516, 834004924, 648284687, 392097787, 56853531, -1, 987172423, -1, 944332895, 232694051, -1, 469490431, -1, 987385232, 190841004, -1, 40716789, 214246684, 222673425, 426130835, -1, 932019499, 451402914, 623475959, -1, 321007611, -1, 156167345, -1, 89093396, 546090057, 30909105, 89718492, 814672417, -1, 96285210, -1, 544919877, 78304904, 700963060, 367063043, 75485089, -1, -1, -1, 637824956, 85669461, -1, 660863570, -1, 80053638, 875682007, 250024570, 291838451, 226329364, -1, 892207733, -1, 276962345, 973119537, 293011333, 463186846, 978391218, -1, -1, -1, -1, -1, -1, 840359255, -1, 651088357, 612490098, -1, 32901487, -1, -1, 506144572, 953781185, 617709888, -1, -1, 26779137, 898254602, 611159944, -1, 421761028, 601816571, -1, 735366888, 293632710, -1, -1, 960680171, 723587783, 81160219, 890195971, 85670432, 294458192, -1, 818057884, 772818957, 248141389, 771811400, 2663414, 128819376, -1, 974548890, 903194697, -1, 792486262, 223733854, -1, -1, 802965705, 284678676, 608816457, 721157996, 83287245, 42970543, 60154365, 634504472, 956864804, 715202548, 413584534, 769619707, 566232777, 290184868, 4682038, 479221932, 97630104, -1, -1, 748869262, 105090690, 389093822, 654168562, -1, -1, 522241199, -1, -1, 231706386, 412534500, -1, 360265520, 135762669, 137896707, 515953981, 471328949, -1, 986841443, 801838931, 913701952, 337244831, 862313227, 559521631, 189139530, 504365961, 259029382, -1, -1, 268636157, 992986785, -1, 66919065, -1, 631258594, 939422882, 836210216, -1, -1, 203863224, -1, 517164492, 777040394, 400387058, 126428090, 783690215, 328851303, 66771877, 182777935, -1, 131881322, 971238038, 49561193, 912422916, 301384578, 450578845, 960415155, -1, 625665839, -1, 412207767, 409351585, 209659648, 869545013, 892614227, -1, -1, 533105853, 594366543, 657451026, -1, -1, 466510144, -1, -1, 643819278, -1, 130689613, -1, 171059776, 978361019, 441317113, -1, 88156352, 551441707, 570813980, 401673789, 111510889, 828157198, 80623765, -1, 771559827, 325147936, 517446081, -1, -1, -1, 229556563, 553289708, 170938630, 75919219, 451320677, 948254379, -1, -1, 481163036, -1, 36877708, 489494530, 400278447, -1, 461342628, 291570745, -1, 874618978, -1, 306228840, 128828796, 852293451, -1, 589939712, 347573343, 662359212, -1, 89531476, -1, 836192092, 589549719, 484162326, 809510564, -1, 455628508, 99809621, 106002763, 594565765, 461745688, 882071357, -1, 853637774, -1, 959120490, -1, 68480414, 485587461, -1, 382524242, 287661495, -1, -1, 632566583, 993309652, -1, -1, 603793191, 492055792, -1, 492202282, 748398866, -1, 883249206, 923146674, -1, 902848639, 117868862, -1, 89400366, 722497739, 271422478, 388672426, 538102969, -1, -1, -1, 406258372, 614314895, 724888039, -1, -1, 909640353, 550299793, 199149944, 609875740, 922904191, 859649102, 931815745, 187006797, 232210365, 28901882, 232378730, -1, 557391965, 253111814, -1, 923105111, -1, -1, -1, 313008057, 956001951, 513651255, 725366331, 787576971, 296871273, 392571588, -1, 408106809, 528664142, 520239468, 367143382, 258058936, 327267216, 89240775, -1, -1, -1, 406898624, 505489586, -1, 4622717, 793202488, 411276899, 474856797, 422184874, 185298307, 912903966, -1, 858458673, 954259243, 646612061, 906335049, 29758977, 730373814, 608675139, 886383031, 409543067, 558334217, 102880682, 233075910, 626962779, 624379090, 451616925, 846822822, 596705252, 553159604, 619520465, 209975681, 913156613, 112387692, 900844445, 710155066, 911289092, 324355499, 111788471, 878650605, 548959099, 115092755, 564625470, 49847020, -1, 277495552, 333023676, 630503610, 693531715, -1, 885824601, 927082252, -1, 965743615, 921374106, 803033531, -1, -1, 803877684, 910156503, -1, 637767244, 132996769, 44117536, 435558666, 853108529, 362141142, 411513376, 345270021, 725297305, 433890533, -1, 163818802, 464421161, 647890686, 109893082, -1, 220671270, 768499914, 984080021, 537213693, 286963640, 559395275, -1, -1, 495391719, 176427809, -1, -1, 561786510, -1, 568861040, -1, 978781013, -1, 903449151, 472219601, -1, -1, 430177872, 988769934, 880789152, 216928556, 535028249, 423932415, 761135921, 912733532, 617002102, 771977530, -1, 405688268, 879770853, -1, -1, -1, 987899610, 874640468, 975616942, 746929824, -1, 721324812, 689078830, 869450358, -1, 365425249, 427557014, 674640896, -1, -1, 324747736, 469286870, 328263913, 542497667, 635913991, -1, 669728957, 473901519, 877330213, 397815591, 612919295, 293018971, -1, 333365587, 110927800, 687607717, 702066702, 421874436, 322737467, -1, 1986436, 130290917, 461819665, 172147031, 469411371, 199918585, -1, -1, 571420385, 162741272, -1, -1, 423499116, 414057276, 925944740, -1, -1, -1, 545445164, -1, 46014916, 494127359, 299408628, -1, 239301929, 959961454, -1, -1, -1, 100802547, -1, 646305559, 281546519, 793777134, 878875026, 909264824, 541482677, -1, 598186584, 997761815, 911352577, -1, 671134457, 141454661, -1, 821716363, 304740586, 44387774, 719846271, 449617607, -1, 746435545, 404355579, 819160313, -1, -1, 538566655, 650286460, -1, 818973570, 459989785, -1, 691739108, 675242887, -1, 429216481, 132453231, -1, -1, 987925213, 434771123, -1, 122066567, 249753669, 105854880, 788438996, 959790502, -1, 559666449, 687469286, 360578459, 915286077, 247244881, -1, 909542638, 102462823, -1, 429412816, 260070845, 561416747, 716464994, -1, 719777599, 90996567, 602163526, -1, 991885850, 35402996, -1, 833005984, -1, 793250195, 325515935, 131025592, 86463128, 974960254, 868431414, 867350602, 275103414, -1, -1, -1, 274077452, -1, 846792585, 767085043, 369653772, -1, 585032734, 715834963, 975657453, 429285610, 332475538, 603738868, 995017378, -1, 863295650, 638222047, 43573209, -1, 17385183, -1, -1, 586920729, 815204899, 811994877, -1, -1, 180568873, 208105075, 15065510, 580856854, 659634913, 599356622, 967056760, 855539730, -1, 607067331, 696630392, -1, 655328664, 798110064, -1, 443539349, 306172457, -1, 186447597, 402707507, -1, -1, 110398633, 242665681, -1, -1, -1, -1, 935010918, 985294863, 497252372, -1, -1, -1, 757914505, 276976781, 165747094, 38913073, -1, -1, 519034755, 765959381, -1, 764340227, 805263012, -1, 691769818, 92165536, -1, -1, -1, 893063962, -1, 559958511, 214860397, -1, 978674498, 645649581, 271663488, 234008427, 159009745, 291567782, 470969003, 495171719, 690177214, 228548389, 976283782, 697523559, -1, 112437931, 65938144, 486920469, 100701535, 479258365, -1, 688612308, 115225876, 710904342, 991484209, -1, -1, -1, 939948738, -1, 603126480, 905388, 782578475, 547998656, -1, 59962266, -1, -1, 856257678, 355811328, -1, 964636006, 966943113, -1, 464952038, -1, 652265806, 80220572, 883085161, 489833185, -1, -1, -1, -1, -1, -1, -1, 935318756, 68746235, -1, 937230471, 52727747, -1, 300175540, -1, 125692654, -1, 347095214, -1, 897865809, 272717032, 941485093, 893498920, -1, 24100304, -1, -1, 554661459, 813163520, 609572577, 53621257, -1, 69040143, -1, 213081244, -1, 616330244, 988832143, -1, -1, -1, 477933866, 46199563, 841403214, 961572126, -1, 723432729, 182222442, 655133653, 551650597, 803344023, -1, 870588749, -1, -1, -1, 826664700, 678357370, 774456680, -1, 656544823, 762513416, 402560169, 39177686, 217787800, 205956267, 449353683, 390625248, 86562853, -1, 778811542, 925385013, 931353364, 462360848, 354931662, -1, -1, 832327349, 254760443, -1, -1, -1, 489548242, 998653037, -1, 325784349, 477330786, 702444902, -1, 933358852, 887924321, 571029064, 919621213, -1, 5676760, -1, 936312764, -1, 150916390, 383537592, -1, 129722391, 986708156, 353960811, -1, -1, 506969101, 253430990, 640698757, -1, -1, 717654870, 691987983, -1, 796869465, 765161005, 553064185, 134687688, 413698193, 396097535, -1, 209879964, -1, 724982646, 785860693, 640329065, 728611702, -1, -1, 19135661, 741905493, 274159442, 623086234, 976603551, -1, -1, -1, 458366258, 556272849, 796895821, -1, 862362932, -1, -1, -1, 87072375, 405092500, 224540043, 698639061, 382660107, 109944080, 660711490, -1, 818782504, 693456142, 612104835, 69005210, 677125380, 97364109, -1, 919782660, -1, 437311925, -1, 235928593, 522573974, -1, 905922734, 793248249, 896201803, 60031987, -1, -1, 118034439, -1, 194059033, 358334840, 161367053, -1, 212950182, 426142138, 828038328, 721116454, 596965084, -1, 431577942, 76747845, -1, 116490942, 431551761, 961093536, -1, -1, -1, -1, 716129532, -1, 118109358, 68766594, -1, -1, 545797709, 879466884, -1, -1, -1, 848593045, 589872647, 257856423, 312832861, -1, 99393206, 223010815, 608809633, -1, -1, -1, -1, 883252150, 19703105, -1, 873497775, 217981167, -1, 614151830, -1, 329147150, 65639481, 676527816, 691441958, -1, 612334098, 535102485, 774301581, 32691304, 539813563, 94343572, 577084854, 112518928, 319037541, 855576429, 81352214, 846242459, 808671562, 780624290, 784383805, -1, -1, 141031190, -1, 509062321, 430967733, -1, -1, 968350433, 198517706, 962447731, 732150060, 748242837, 549572390, 480689113, -1, 88542712, 464987701, -1, 946833916, 88744020, 739533407, 827589924, 944953009, -1, -1, 468545238, -1, 604664564, 368850414, 26021383, 623225612, -1, 839460043, -1, 703686960, 854401801, -1, 74467698, 674892359, 306230407, 84858354, -1, 728617224, -1, 839335590, -1, 698112170, 483349098, -1, 675971711, -1, 399394662, 983100506, 855979899, 995207835, -1, -1, 778962423, 630113082, 100973322, 226114789, -1, 474918431, 969112583, 958229319, 648809473, 326417878, 673688881, 70408766, -1, 585449546, -1, 786343448, -1, -1, 475683904, -1, 216743572, 528097357, 641116431, 333600409, -1, 355374040, 72049810, 904428314, -1, 167600114, 774800250, 408906157, 340484622, 380542859, -1, 360600981, 485318475, -1, 636469458, 899243089, 833543307, -1, 704746798, -1, 645435777, 978043290, 473689793, -1, 388286715, 277633478, -1, 321374828, 830026355, 456224253, -1, 481931383, 407525337, -1, 802461489, 260314653, -1, 807062304, -1, 980162325, 790159669, -1, 446342192, 551894049, 258608333, -1, 628588927, -1, -1, 572710148, -1, 674303211, 571205629, 741787451, 477326326, 724630447, -1, 439956522, 658136256, 134480071, -1, -1, 711698888, 323658112, -1, 356409568, 969790454, 40571524, 645604379, -1, 733671593, 4905308, 903352694, -1, 825995342, 581911607, -1, -1, 78188086, -1, -1, 331476763, -1, 488898875, 287611334, -1, 550030252, 333641622, 712043423, -1, 988648888, -1, -1, -1, -1, -1, -1, 355452660, 295467337, 4470021, 858621068, 228543675, 197040090, 740233551, -1, 354723752, 81330134, 361044700, -1, 494715202, 628443366, -1, -1, 676493686, 576605419, 388987087, 612423015, 638035354, 884083887, -1, 648666835, 954905506, 391720909, -1, -1, -1, 192518293, 974608215, 448233237, 606688911, 999882293, -1, 680015282, -1, 810572934, 549802651, -1, -1, 874421589, 359714184, -1, 765153793, -1, 212395544, -1, -1, 112793259, 638315174, -1, -1, 473462413, -1, -1, 210408170, 47927429, -1, 316560673, -1, 524863603, -1, 471109031, 798457039, -1, 111847626, -1, -1, 125573507, -1, -1, -1, 885419997, 964502684, -1, -1, 583656840, 46856290, -1, -1, -1, 445086573, -1, 966820921, -1, 641159948, 344842408, 55022400, 908568822, 440159824, -1, -1, 479844741, -1, 633423197, 195950579, 937793499, 641531671, 551698473, -1, 419037205, 746443291, -1, 411035401, 302325284, 676959709, -1, 787281510, -1, -1, 960642123, 577807930, 99921352, 269855249, 479570987, 525041134, 246984192, 132576205, 230807381, -1, -1, 185655070, 853086510, -1, 315568896, 37871003, 481840517, 818082060, -1, 535124295, 530352169, 547498051, -1, 98675630, 318653178, 572178153, 453915937, 333203834, -1, 11226418, 311506255, 9982527, -1, 395969417, 750237369, -1, 156754455, 458790681, -1, 281897950, 501549870, 754149298, 794645054, 827820116, 176167298, 962349691, -1, -1, 550425645, 527168763, 970509688, 398276983, 934868197, 105712804, 269787116, 793206457, 579587850, -1, 406523629, 662303757, -1, -1, 202859629, 197753641, 718014957, 647113493, -1, 427996700, 143295913, -1, -1, -1, 921663685, 404505206, 337480880, 367211682, 752372553, 946879062, -1, 173455104, 743958580, 963051519, 876630627, -1, 498541178, 865158893, 601207035, 370660884, 604561547, -1, 599733465, 758291712, 866314906, 139368910, 615117444, 418794855, -1, 788591762, -1, -1, 338662398, 747066682, -1, 222265941, -1, -1, 634125065, -1, 249496257, 445990859, -1, -1, 217867519, 890581911, 157119496, 16165406, 839578954, -1, 400164710, -1, 980658203, -1, 779393016, -1, -1, -1, 561499939, -1, 362212970, 460818451, -1, 143787191, -1, 377197686, -1, 305399803, 196525478, -1, 542628095, 237659621, -1, 282441290, 354375525, 711974038, 651374126, 487096736, 497407200, 36608252, -1, 575928645, -1, 145909048, -1, -1, 771533243, -1, 101853503, 122272537, 186986508, 674113591, 991263872, 953051667, 171898945, 182003881, 161690124, 371211396, 179156592, 114245524, 410931280, 698792547, 602850135, 226182995, 623921798, 850855563, 55675240, -1, 493332152, 427100007, 272561861, 532116030, -1, 465278038, -1, 568205949, -1, 683052221, 453912648, -1, 840759105, 425528590, 173385422, -1, 955609444, 454067851, -1, -1, -1, 500162702, -1, 767466838, -1, 346203861, 835446476, 683632824, -1, 863187441, -1, 392179639, 354593365, 842243571, 644998466, 522745139, 398387782, -1, 578112093, -1, 72067071, 922331964, 915028051, 620576677, 809732888, 796797837, -1, -1, -1, -1, 829085644, -1, -1, 911212348, -1, -1, 30003549, 149411100, 117957282, 219183124, 543318817, -1, -1, -1, 792162747, 519178643, 966032098, 35444392, 398908044, 202960658, -1, 127594675, 719345166, 511418932, -1, 528270375, 413503360, -1, -1, 55732496, -1, 481905770, 655025456, -1, -1, -1, 714299685, -1, -1, 593531794, 981372714, -1, -1, 124997642, 82786827, 152748204, -1, -1, 56308254, 615640085, 398391630, 381114900, 236966485, -1, 640542718, 283503868, 464503886, 518841502, 63133062, -1, -1, 880063527, 353476415, -1, 173105281, 389648796, 668582459, -1, -1, -1, 425908909, 441163657, -1, -1, 664400512, 940798139, 982113549, -1, -1, 358909901, 302990852, 59593658, -1, 82445321, -1, 727541789, 88048790, -1, 146160877, -1, 617524222, 67204103, -1, -1, 750249753, 468987106, 454987871, 928682572, 624280428, -1, 841176738, 331691050, -1, 885871446, 619679666, -1, 808837573, 479876217, 242604058, 952503202, -1, -1, 247122615, -1, 534779028, 286063269, 732352102, 689408653, 335124717, 959441358, 19159031, 788615996, 399153612, -1, -1, 954474545, -1, -1, 804077852, 616841406, -1, 292884191, 932719656, -1, 119087897, 79504230, 138146318, 228419058, 688549804, 751409725, 538885758, -1, 560009819, 203475056, 560472803, 180346512, -1, 4468976, -1, -1, 838173301, 550324818, -1, 845947973, -1, 636683495, 470662949, 448522621, 33881630, 918468333, 763285390, 417769568, -1, 690456567, -1, 321069327, 222167919, -1, 301005624, 202945142, 893651443, 841590136, -1, -1, 875806985, 952641502, 350841605, -1, 835114899, 725798080, 732549359, -1, 484702494, 582586125, 819115604, -1, 622781347, 887229116, 642918678, -1, 835273247, 872140228, -1, 320863807, 315028816, -1, 860084787, -1, 168309337, -1, -1, 880889955, 783619789, 147031697, 474452679, 27831181, 875365473, 778897799, 578115991, 583579823, 266420575, 173878940, 943809587, -1, 101099954, -1, 382449661, 472780686, 30981114, 927011547, 621228357, 278057987, -1, 398382186, 335300384, 195949276, -1, -1, 3282139, 48921114, 217909490, -1, -1, -1, -1, 321252394, -1, 317689664, 273428562, -1, 160705437, -1, 542862141, 935491517, 919483614, 326721174, 397815542, -1, 436248511, 24409378, 325854786, 832316487, 361889409, 944587546, 905084867, -1, -1, 246340481, 606568402, 661856746, 243344135, -1, 817279305, -1, 899413839, 841243443, 136955010, 623887288, 423445959, 840259197, 786443595, 173274351, 370189740, -1, -1, -1, 724144041, -1, 832618600, -1, -1, 30778149, -1, 886120208, 512935181, -1, -1, 359626838, 826783374, 69274386, 102719299, 329157505, 901027518, 181059037, 549660715, 618435280, 212649913, 734912817, 397264282, 773622635, -1, -1, 544189784, 167229697, 414743182, 314934567, 238943066, -1, 78547313, -1, 848013450, -1, 908959577, 506260755, 253291976, 48369257, 734048187, 971296125, 600170823, 941675702, -1, 740248880, 912141895, 747753037, 542327287, 979949729, 575774563, -1, -1, -1, -1, 425542672, -1, 794786424, -1, 790335156, 281329199, 950077548, 967326079, 925718299, 125394915, 536969989, 172052532, -1, 756108960, 686006623, 763751762, 150800964, 43822284, 58271660, 926461611, 486200576, -1, 789499137, -1, -1, 557763685, 561256840, 63322068, 340750630, 94837952, -1, 308644709, -1, -1, -1, 811528317, 606609306, 916502984, -1, 549793102, 714402937, 598923775, 466283099, -1, 705933787, -1, -1, -1, -1, -1, -1, 115163781, 288115070, -1, -1, -1, 899878805, -1, 171610185, 841504245, -1, 428936397, 907206256, 525324669, 727293336, 324954604, 894931204, 234177750, -1, -1, 608201276, 615492303, 889412095, 144935795, 863097694, 942776887, 259662377, 248497409, 515261602, 352939419, -1, 53226611, 621906736, 270851879, -1, -1, 593483805, 726208700, 883683398, 80447749, 856128567, 828830300, 941436946, 570900797, 555878392, 392430530, -1, 757003928, 439111580, 443420823, 752372230, 635816933, -1, 155154292, 150379255, 744885629, 186989043, -1, 955501141, -1, 783292671, -1, -1, 435029233, -1, 690811041, 11365697, 884212474, -1, -1, 692176886, 82813141, -1, -1, -1, -1, 194538341, -1, 425689255, 61207802, 293046729, -1, 21188106, 63452295, 43087681, -1, 555172293, 635489767, -1, -1, 650775147, 173597301, 643789394, 250273259, -1, 308221642, 613977814, 715059047, 323942444, 385467367, 800996347, 361288943, -1, 562510170, 628411263, -1, -1, 782197897, 957755160, -1, 348464704, 198600909, -1, 958655775, 656725709, 428280032, -1, -1, 475418486, 700577784, -1, 653675665, 829638928, 320459009, 382125592, -1, 686023976, 372964343, -1, 896356102, 790083313, -1, -1, 493496881, 7886082, 755080742, -1, 275427777, 147775954, 635591164, 631133339, 415896202, -1, -1, 16634613, 877357319, 582465442, -1, -1, 411726045, 618111450, 173126636, -1, -1, 992349967, 918198047, 113345327, 281543588, 152953277, 488519654, -1, 502967242, -1, 795439682, -1, -1, 416365318, -1, -1, -1, 159639795, 741637823, 246304148, 247694805, 424195899, 851829777, 777124680, -1, 852184955, 47820794, -1, 293207493, 474951165, 516343240, 640423727, 183789369, 404412773, 870705814, -1, -1, -1, 323960013, 823074103, 956579575, 197965223, -1, -1, 955852421, -1, -1, 586488683, -1, 990429554, -1, 722938676, 101452624, -1, 141930987, 541519014, 183096807, 109482127, 512728382, 361844404, -1, 922643109, 914084825, 409659837, 433847164, 872828396, 235036879, 2477878, -1, 940971018, 388007593, -1, -1, 751220925, -1, -1, 169816937, -1, 267055522, 687083308, 4262920, 464499078, 550288658, 255762160, 644010152, 381412732, 302689646, -1, 503625904, 3526763, 649817664, 264154860, 731439576, 142160280, 481836628, -1, -1, 967194352, -1, 804469612, -1, 195788099, 605646982, -1, 617110149, 880913107, 620664050, 233883097, 96615753, 315892161, 16321782, 743749136, -1, -1, 703518739, 39867481, 402260162, 818249428, 604278649, 666702322, 691856439, 457482670, 646452093, 528814838, 719290802, 633703978, 124023624, 849715179, 632915196, -1, 909692463, 694213178, 653201830, 443500629, -1, -1, 870683116, 407602053, 785543099, 696165922, -1, 119937220, 902939165, 758753751, -1, -1, 649216124, 586785907, 969074688, 941294810, -1, 508500825, -1, 83328781, 554038139, 409444844, 863366252, 874075303, 751694411, 20241242, 349096338, 441023379, -1, 476001158, 449051962, -1, -1, 758335312, 454703637, -1, -1, 165523991, 303221436, -1, 664321851, 268381774, 772636309, -1, -1, 317867602, -1, -1, 18965250, 578397571, 236443953, 570079223, 632849165, -1, 129412113, 882708466, 968770612, 271706301, 34634604, 285909336, 279669017, 516995117, -1, 50913909, 833529106, -1, -1, 948044831, -1, -1, 157227144, 490908491, 272525993, 372801457, 763267172, 106076399, 401667804, 186875300, -1, 750097861, 426677540, 915908129, 362739392, 658627500, 293717461, -1, 144651743, 529142563, -1, 354761214, 166855928, 357268444, 27583922, -1, 665128514, -1, 830161608, 86874813, 31003641, 809831394, 400523628, 969948823, -1, 909203636, 30270532, 632614119, 412990219, -1, 632012621, 334936418, 448635359, -1, -1, -1, -1, -1, 768925840, 188079164, -1, 759531792, 719309641, 664915083, -1, -1, 843593744, 335884890, 715427875, -1, 155809633, 699237290, 829697573, 883488041, 898748044, 759889324, -1, -1, 739900017, 831600810, 58098534, -1, -1, 745803589, 563485217, 488590670, 476512832, 436641825, 598613554, 180911343, 796179465, 3294394, -1, -1, 349826160, -1, -1, 796729592, 507354999, -1, 849844299, 660247610, 419519062, 852352651, 80148471, 570812386, 359875461, -1, 91812147, 301971236, -1, -1, -1, -1, 184850871, 669430945, 647453924, 439857966, 603469199, -1, 82360026, -1, 918213115, 629819040, 950428011, 172096624, -1, -1, -1, 758219979, 278921012, 648694797, 529732587, 861203948, -1, -1, 712505140, -1, 29602362, -1, -1, -1, 652329257, -1, 244557698, 653836484, 731100439, -1, -1, 954174758, 711532576, -1, 715227139, -1, 964289053, 737705500, -1, 978943852, 293487704, -1, -1, 179340102, 845509082, 598280912, 956595431, 320872044, 849579716, -1, 474547219, 486302723, 980236455, -1, 444509454, 465617938, 452484049, 389341558, 258300563, -1, 139087487, -1, 60236877, -1, -1, -1, 574483283, 244500327, -1, -1, 52679127, 9310317, 697465899, 193427574, 780952992, -1, 29315184, -1, 231429746, 799576897, -1, 256298456, 653662594, 146517293, 201476290, 126617792, -1, 114382151, -1, 961765327, 416771569, 381322371, 867109632, 757113083, 294817171, 857422606, 995245276, 66280883, 649844355, 979801111, 818731662, 815563478, 761693206, 994893333, -1, 101441055, 353164314, 804331177, 4123495, 833077775, 439200445, -1, 806336202, 194113985, 327614188, 44180192, 858681328, 360101811, -1, 665608165, -1, 403068354, 205714903, 989225374, -1, -1, 651064273, 735234858, 441327878, 846993062, 762719454, 120951222, -1, -1, 341692283, 935762240, -1, 428201593, 908554547, 822994224, 599607741, 626542867, 508012354, -1, 801858500, -1, 548861991, -1, 917875521, 135183271, 383951946, -1, 506467702, 404499421, 85424830, 494463618, 143157163, -1, 174944046, -1, 676962404, 477141770, 826716076, -1, -1, 408623724, 609284775, 371311168, 15367978, 990083124, 484205621, -1, 807687416, 398732408, -1, 971408138, 297519010, 576028974, 945551093, -1, 281579994, 604242415, 937828694, 808782237, 809091444, 468683714, -1, 857397859, 829636929, 67054715, -1, -1, 968033863, 680607797, 170248132, 24572906, -1, 701576637, -1, 180574994, 888487531, 323933352, 609307406, -1, -1, -1, 806800799, 257684847, -1, 84785238, -1, 385307882, 362661115, 778627055, -1, -1, -1, -1, 736927481, 219794810, 948168594, 254751240, 414065049, 115159391, 705624942, 971368671, 981398487, 402346501, 412633102, 467150195, -1, 747999028, -1, 891690192, 448014273, -1, -1, 589323927, -1, 776733001, 786397188, -1, 477887132, 476107300, -1, 356669111, -1, 168219191, -1, -1, 862356701, 234546659, 903002843, 804306566, -1, 57735649, -1, 848778436, 922363431, -1, -1, -1, -1, 831706749, 720856338, 636614234, 82770658, 62000293, 184123445, 294045722, 68626997, 640571584, 111200135, -1, 623137763, 690026129, 773666173, 904222983, -1, 705401607, -1, 824474336, -1, 701059666, -1, -1, 860878132, 437134090, -1, 751618132, 770499222, 114936978, -1, 798844620, 45986221, -1, -1, 739095059, 940969518, 1243988, -1, 625000482, 706821867, 874904235, -1, 552284530, -1, 127979699, 915035824, 607130172, -1, -1, -1, 646301367, 696869307, 947361481, 245245454, -1, 791324037, 295705846, -1, 565940284, 559744816, 775174977, -1, 54114318, -1, -1, 962467654, 481350507, -1, -1, 857593928, 712515688, 861684993, 426881372, 154957286, 647065405, 531607680, -1, -1, -1, 421991667, 966192772, 818750621, 920193864, 55162173, 643188144, 981166563, 724044115, 320310238, 299891168, 860962775, 761292243, 941119188, 483460057, 874303194, 795473671, 311206500, 346638888, -1, -1, 775839411, -1, -1, 796622223, -1, 723359478, 962988820, 390909916, 438370598, 852994330, 650952727, 818011950, 413963877, 843578549, 417154486, -1, 286284916, 592384219, 941984613, 295838085, 846009848, 801343017, 576462264, 183415881, 117933200, 71065440, 109812939, 89574173, 666312388, 864632260, 948470850, -1, -1, 468227079, 654383437, 633540926, 561888799, 959629667, 954396455, -1, 812421141, 161739030, 746739237, 614557943, -1, 656294908, -1, 462376447, -1, 371761526, -1, 515041222, 551722352, 251607108, 843697989, 179338130, -1, -1, 294481814, -1, 749173256, 20701674, -1, 995854937, 115226888, 614741472, -1, 199984177, 251828255, 50424528, 573758671, -1, 539712591, -1, 389002499, 251326773, -1, 816521621, -1, 357321094, 841890636, 132811243, 366452577, 88001665, 834104057, -1, 568214042, 856511927, -1, 60959654, 91925475, -1, 87912943, -1, 789722670, 810268136, 732068835, 451864633, 782061336, 996033750, -1, 350613755, -1, 523777286, 641206512, 99243420, -1, 791830993, -1, -1, 730236396, 33939467, 380440400, -1, 128966150, -1, 861270045, -1, 473053448, 870509250, -1, 573835261, 27589501, 837029267, 129970563, 158494570, 635771226, 655191508, 129662720, -1, -1, 137820298, 935300853, 487511700, 65020077, 265709204, -1, 535662271, -1, -1, -1, -1, 727108352, 726094638, 369576692, 711027791, 675608201, 279954334, 420390291, 741338033, 791775458, 338126531, 39794661, 312593141, 106688467, 21674913, -1, 765235874, 850799937, -1, 838372388, 138142188, 2495315, 225606216, 829249898, 373313296, 625992094, -1, -1, 379702735, 368878675, 902401475, -1, 634559766, 995795494, 651208885, 988744222, 538414128, 361462838, 554070910, -1, 228473480, 55074041, -1, 995143737, 134799734, -1, -1, -1, 972138229, 426993221, 938049210, -1, 688031275, -1, 2661696, 386144112, 630249223, 669486913, 951296403, -1, -1, 154900751, 544397677, 483543920, -1, -1, 279293214, 510159250, 854348026, -1, 971775189, -1, 559493633, -1, -1, -1, 951871249, -1, 14552051, 895848603, 246915431, 768965297, 216747153, -1, -1, 226706424, 952228290, 667142707, -1, -1, 135173267, -1, 870361193, 54969424, -1, -1, 762652355, -1, 779719627, 9979399, -1, 667320556, 631128367, 783581661, -1, 178192634, -1, 908817211, 43948706, -1, -1, -1, 908226192, -1, 825998036, 255115353, -1, -1, -1, 938576796, 355690294, -1, 541047954, -1, 412639827, 804669288, 592492428, 742250814, 768728503, 907553956, -1, 268314956, 228915459, 932501789, 460685346, -1, 246567358, -1, 971806050, 167861404, 723596183, 979803535, 996695589, -1, 165093008, -1, -1, 711249474, 660325130, -1, 695241843, 984040375, -1, -1, -1, -1, -1, 997543289, -1, 298553215, 185413470, 42853859, 110504988, 26022940, 183085614, 328537955, -1, 423836769, 617925305, 956689310, 862555971, 265978773, 136339090, 333432285, 881060985, 877977018, 815917302, 812815338, 693104321, 714780345, 382477173, 460345872, -1, 146100470, 935080282, 81306883, 3853175, 438883481, -1, 585260294, 178725628, -1, 909062720, 660599694, 612851917, 515535532, -1, -1, 791732465, 634559302, -1, 778450700, 112709689, 5376033, 749937319, -1, -1, -1, -1, 499508947, -1, -1, 241695962, -1, 59690756, 484563887, 563772396, 341598785, 738506203, 176673200, -1, 917468880, -1, 204530381, 383627000, -1, -1, 988172828, 500246958, -1, -1, -1, 306590799, 78808441, 216502164, 648048652, 31108737, -1, 288504543, 402343673, 320968597, 785571135, 53437038, 359291033, -1, -1, 880939482, 505787578, 205613964, -1, -1, 246460165, 558292408, 389193838, 422311158, 213453949, 123459489, 574550995, 553906916, 672226678, -1, 29451313, 110245864, 180324673, 69060664, 145974288, 624896972, 673298007, 832918730, 724902772, -1, -1, -1, 852667224, -1, 378730225, 147153456, 62883998, -1, 942871306, 385159295, 81797684, 92109038, 702235106, -1, -1, 11787313, 494380052, 489703627, -1, -1, 618142634, 889767016, 937925002, -1, -1, 173922400, 741411962, 84339057, -1, -1, 353330729, 559212598, 220465992, 355021387, -1, 860291186, 50729291, -1, -1, 711959597, 718870961, 828150027, -1, -1, -1, 724131842, -1, 118250732, 871097870, -1, -1, 709881006, -1, -1, -1, 374309359, 490516979, 674737255, 88627464, -1, 405110229, -1, -1, 679503961, 628832246, -1, 90565457, 364467688, 511299975, 173852508, 252767311, 660290437, -1, 308469119, -1, 624052953, 874258603, 427835957, 858045513, 450702383, 674753188, 784035138, 195472792, 787360406, -1, 381088739, 107459309, -1, 627039655, 890381892, 105309712, -1, 476948810, 882199360, -1, 538609200, 611641242, 907693747, 472105162, 279290474, 737348331, 894189802, 496317595, 611947152, -1, 695431233, 459655522, 512225424, 153696533, 305285726, -1, -1, 68762945, 325645935, 319577127, 221021884, 761788752, -1, 745954965, 639362414, -1, 348496954, -1, -1, -1, 939217274, -1, 338714206, -1, -1, 446048740, 889488539, 48653990, -1, 952218563, -1, 567241090, -1, -1, -1, 392859406, 215371613, 234784500, -1, 886575584, 447819687, 821918542, 38697615, 810052211, 791628185, -1, -1, -1, 681684839, 137835748, 323088428, 133980699, -1, 240318852, 522572808, -1, 839955776, 606814213, 303138606, 155776776, 110194829, 350892973, 461122239, -1, -1, 961701241, 987248975, 539633392, -1, -1, 481524056, 165874039, -1, -1, 873963654, -1, -1, -1, 752770829, 379868549, 406108904, 160702399, -1, 666069818, 426176315, 174469160, -1, -1, 80209785, 131735849, -1, 281681695, 593503547, 350329890, 704073900, 346814352, 546227159, 594938397, 770225015, 623495373, -1, 419761309, 471949202, 322435817, 87185771, 203165221, 806207828, 12648599, -1, -1, -1, -1, 529911965, 156436980, 830753541, -1, 63997593, 976370727, 883365098, 668246074, 679955297, 623876079, 281537226, 500061028, 871854314, -1, 622164302, 538672222, 408874380, 452339302, 712132752, 35591801, 536264985, 277416785, 529773762, 383603449, 170159316, 713710815, 512553102, 764402222, 634094764, 462573669, 23565381, -1, 497906607, 690783325, 244440917, -1, 322519909, 647087155, -1, 594237874, 970499466, 480358818, 242701433, -1, -1, 158487036, 962114803, -1, -1, 253407275, 805081930, -1, -1, 589682943, 940712837, 829565731, 437536077, 364276083, 182746412, 645758408, 553262842, 65049268, 165159804, 746792320, 154529553, -1, 586906086, 369585773, 184809329, 776064310, 229618851, 682636225, -1, -1, 82593912, 749616296, -1, 822443388, -1, 851037621, 845311585, 147745125, -1, 459382652, 960114399, 691218719, 762222045, -1, 793483778, -1, 1330426, 346939596, -1, -1, 543788783, 317825354, -1, -1, 319748487, -1, 851200887, 939007965, -1, 901628450, -1, 961378364, 947677046, -1, 428855310, 985075626, -1, 427358218, 442895130, -1, 158298235, 944003189, 339148425, 614992308, -1, 163793841, 276739861, 489926811, -1, -1, 682833611, -1, -1, -1, -1, 453464273, 936691968, 516434052, 612395113, 524488824, -1, 418005018, -1, 980471706, 278453593, 633130747, 561110577, 90597801, 14361629, 820966736, 751081648, 989605446, 966275852, 985974123, -1, 982317817, 948324684, -1, 472730077, 612437394, 487463941, 440709391, -1, 41545141, 970054733, 739196087, -1, -1, 634056058, -1, -1, 733715904, 508715304, 333121974, 149301928, 52722605, -1, 844875989, -1, 466112735, 582880663, 672791775, 487548678, 244972661, 212166279, -1, 860400168, 369653005, -1, 855035130, 305513499, -1, -1, 823799221, 438106884, 815315696, 753641384, 766644670, 757729423, -1, -1, -1, 622359293, 333941598, 603571415, 598578545, -1, 370337508, 880971287, 258613435, 820795638, 153379999, 250804468, -1, 80294590, 8777687, 357828918, -1, 491163962, 765332601, 60074655, 204895097, 2804535, 220880987, 383745009, 862370426, 622695615, -1, 713051738, -1, 777339805, -1, -1, 209109769, 699290107, 489433864, 632754858, -1, -1, -1, 467299867, -1, 888455270, 781298613, 267554089, -1, 872645850, -1, -1, -1, -1, -1, -1, 747910480, 865081331, -1, 566181124, 847463622, 70566597, -1, 615584103, 79884406, 991913164, 201423996, 186313409, 191491836, 176315692, -1, 706827814, 563547250, 62735422, 454423449, 319464841, -1, 291096407, 161674215, 773510645, 678424041, 556962170, -1, 421601912, -1, 219043779, 174776598, -1, 479560205, 124279862, -1, -1, 259165021, 44038385, 979654421, 751030415, -1, -1, 589256348, -1, 269247559, -1, -1, -1, 464044560, 763671711, 123408105, 562531621, -1, -1, 812557658, -1, 879877640, -1, 957494319, 6444296, 409339546, -1, -1, 896202323, -1, 822879374, 754674594, 692755669, 507652237, -1, 159817017, -1, -1, -1, 776086034, 707613534, 183584923, 233633422, 461271074, -1, -1, 136654369, -1, 875117455, 225612140, 221265352, 27930292, 908805606, 216840853, 193242892, 807331105, -1, 981994963, -1, 341609129, 31122346, -1, -1, 215308168, 33082528, 632374418, 11472577, 361059218, 48054806, 685629907, 592189093, -1, -1, 616202679, 764145789, 660426764, 982310120, -1, -1, 382104469, -1, 345291481, -1, 157156754, 745471012, 921907605, 481952613, 144239667, 117612984, 935249140, 665274012, 946288326, 587690658, 886122716, 604841726, 696443625, 66780119, -1, -1, -1, 965319439, 59204950, 820073253, 394592733, -1, 77026042, 96618368, 737400251, 105538472, 195940339, 4225304, 787644227, -1, 877782167, 726498958, 646701568, -1, 940572477, -1, 251193343, 63651216, 974638620, 329637630, -1, 530649750, 94879066, 499456894, 782913193, 261018208, 173459564, 884530774, -1, -1, -1, 57658643, 304729357, -1, 180049890, 701888947, 698676382, -1, 319421073, 70350700, 397062897, 295877607, 291199416, -1, -1, -1, -1, -1, -1, -1, 853724137, 715382416, -1, 77838960, -1, 567365737, 212684182, -1, -1, 97177998, -1, -1, 106990077, 733306709, 179300501, 233581547, 426972699, 306524831, 622480326, 549056372, 649444861, 625930950, 616115685, -1, 609493711, -1, 15979099, -1, 6409291, -1, 782328217, -1, 53635899, -1, 524365696, 878469499, 235724792, -1, 763126844, -1, -1, -1, 189842537, 878542380, -1, 617769283, 917908109, 335872011, -1, -1, 392241601, -1, 745719175, 546241204, -1, 126907135, 76394781, 90773286, 508296632, -1, -1, 527668454, 553110007, 695899230, -1, 395189008, -1, 709615481, 477842619, 705822592, 33871840, -1, -1, -1, -1, 973101342, 191700425, 273310671, 22712167, 728780206, 163823890, 701574206, -1, 205872743, -1, -1, 188659627, 30712987, -1, 331959029, 454006274, 749115234, 590006118, 781546730, 222940630, 231507679, -1, 939411738, 885528109, -1, 180310734, 535564749, 621868070, -1, 194900090, -1, 953115169, 648464995, 369087657, 969255284, -1, 370481573, 614265770, 116459781, -1, -1, -1, 187740252, 661068844, -1, 251624771, 229593506, 280570690, -1, 17864784, 911333422, 6678243, -1, 156024514, -1, 127063246, -1, 199092126, -1, -1, 206818268, 256557359, 704816075, -1, 741676008, 685377855, -1, 474732525, 949109928, -1, 678436678, -1, 294318520, 757552169, 797748592, 893741782, 644554985, 447740227, 225967047, 371624052, 96103668, 988391958, 209947038, 256182410, 590119033, 805533469, 898688691, 292672273, 136131719, -1, -1, 415888819, 953721264, 154080472, 990228341, 26784963, 461062387, 236089184, 435314942, -1, 595120499, 320172628, 557381512, -1, -1, -1, 691572659, 786855616, 939425932, -1, 135530516, 366138791, 91564554, 491221407, 78150024, 650583800, -1, -1, -1, -1, 379186642, 239147878, -1, -1, 249871188, 982707694, -1, 303349047, 994708361, 509199682, 610087589, 514929851, -1, 707047166, 250198874, 328598499, -1, -1, 128154328, 47720491, -1, 992440588, 660832643, 527224233, 749423739, 990509344, -1, 57567449, 373186925, -1, 299888326, 756137787, 745374408, 618374011, -1, -1, -1, 35335286, 970238860, -1, -1, -1, -1, -1, 458103215, -1, 531005511, 90890190, 732841470, 910230702, 157681007, 38718335, 742620518, 438786602, 23278447, -1, 788600646, 28481059, 11773071, 613266828, 318442688, 273000468, -1, 712719420, -1, -1, -1, -1, -1, -1, 920861239, 317157822, 483839298, 277383564, -1, 796674101, 509637537, 929851729, -1, 231746398, 348433751, 314763335, -1, 329193084, -1, -1, 378454985, -1, 256890141, 182200835, -1, 960865568, 560965292, 303173430, -1, -1, 646873201, 906748265, 120114497, 974158801, 941856430, 477377126, 147046885, 619347391, 588447318, -1, 436505618, -1, 364764053, 547276559, -1, -1, 313241378, 407672089, -1, 54586508, -1, -1, 537608821, 259914125, -1, 331313478, -1, 116977488, 911425639, 648063739, 615251940, 706203459, 227196848, 234587512, -1, -1, 272908233, 252016740, -1, -1, -1, 281593934, -1, 131091630, -1, -1, 450308975, 293541223, 412344638, -1, -1, 989979525, 283218957, 526183745, 185522750, 180396365, 860932785, -1, 275701355, -1, 843563287, -1, 949112354, 60638215, 494741734, -1, -1, 771376938, -1, 706513270, -1, 842234669, 818510447, 47867005, 6669647, -1, 306410968, 815876715, 779150370, 6967638, 372642669, 160924719, 956469301, 526832632, 284473045, -1, 755255973, 139142941, 928146350, 845810963, -1, 305512306, -1, -1, -1, 693727254, -1, 531703008, 740881484, -1, 239752530, 496304192, 951329618, 253194939, -1, -1, 644914135, 872272200, 550629269, 965101178, 674836468, -1, -1, 676280162, -1, 556628617, 429145885, 610737102, 476293234, 764982776, 287449169, -1, 405099960, 577404077, 441239405, 524792016, 859001093, -1, 825845464, 766338823, 819462522, 993291823, 889240565, 856307086, -1, 228918306, -1, 102786776, -1, 111770573, 883252643, -1, 42102392, -1, 774528820, 128440603, 460426179, 838835612, 432174736, -1, 89350427, 61593150, 73274883, -1, 348772074, 888342222, 321201026, 242841912, 94280782, 190472097, 878343617, -1, -1, 332784098, -1, 875900456, 478232485, -1, 722726551, 811320218, -1, 748753210, -1, 891892561, 740167156, 667344435, 879277517, 115809703, -1, 737335567, 814346255, 115766597, 178751129, -1, -1, -1, 98821646, -1, 270562949, 294292422, 687130280, -1, -1, 604840887, -1, 541368335, 211836132, -1, 911710848, 847743212, 195512828, 260280320, 663331549, 185634168, 505292049, 98335688, 273216716, -1, -1, 383964247, 324139757, 858198353, 997965553, -1, 305689223, 593486424, -1, 683599974, 908941459, 632248751, -1, -1, 784712227, 663089009, 848875305, 69472402, 630148468, 856698995, 70653237, 677200140, 397211703, -1, 689887702, 624278728, 443833639, -1, -1, -1, 681201333, -1, 703185325, 664029115, 449983450, -1, -1, 832274615, 249908387, 248053712, -1, 194612491, 302373054, -1, -1, 120568019, 555743798, 843649324, -1, 340284778, 330543629, 29872945, 619551398, 428509734, -1, -1, 311308236, 808967767, 527096728, 325315769, 466475353, -1, -1, 790558450, 200881265, 956229123, 234600215, -1, 863641810, 698473872, -1, 188608075, 640794203, 96945412, -1, 951776027, -1, 1938476, 226496675, 653000210, 573079181, 267318255, 589780970, 221567882, 588244403, -1, 639880864, 652032192, 823485021, 662038748, 762054987, -1, 691457686, 568374139, -1, 91396936, -1, 195181355, -1, 378128560, 278919346, 736897871, 844510764, 865231007, 712732076, -1, 117011876, 900269074, 48634420, 361201880, -1, 431894776, 440452957, 317189171, -1, 858188290, 709312010, 42722126, 552130133, 913292336, 584562451, 112521855, 509617779, 988458206, -1, 788676201, 729272504, 860793633, -1, -1, 478905813, -1, 694565322, -1, 791980958, 810514565, 858380844, 391293751, -1, -1, 409851648, 194798971, -1, -1, 388626199, 358605966, -1, 252383799, -1, 168587025, 873764867, -1, -1, -1, -1, 70161909, -1, 583475813, 537794628, -1, 595563973, 863522157, 621033530, -1, 400841085, 570302322, -1, 758730025, 377463523, 40606064, 77449478, -1, 344241552, 591527448, 996367917, 953832744, 736715916, 417424706, 667117342, -1, 556400775, 602629847, -1, -1, 428661590, 512165926, 89642440, 854654438, -1, 124386588, 885781173, -1, 787320452, -1, -1, 526463127, 886657422, 523382733, 202785968, -1, -1, 811040764, 725730447, 416514146, 276534798, 823931541, 801956224, 387433404, 765503646, -1, -1, 752010663, 177806365, -1, -1, 752155731, -1, -1, -1, 969485555, 471761467, 544100711, 256690117, 159193424, -1, -1, -1, 33977159, 292428246, 879122413, 636091251, 705067670, 148689831, -1, -1, 688285490, -1, 32293821, -1, 495292076, -1, 639299593, -1, 391358644, 175702897, 410327193, -1, 353288458, 997735627, -1, -1, 783072954, -1, 228047159, 193999161, 66691671, 673194530, 332202828, 240635500, 526541435, 5161056, -1, 527474844, 994054230, -1, 532625965, 24681852, 261430795, 918132585, 321634760, 248059017, 279725403, 781197586, 601177302, 119662659, 544775063, -1, 388672745, -1, -1, 558535099, -1, 708159948, 312391251, 330730146, -1, 73535299, 2203456, 558252726, 918087972, 817655156, 727982758, 152133883, -1, 883834453, 891307428, 744130292, -1, -1, 108637964, -1, -1, -1, 888697085, -1, -1, 797703693, 367629641, 110048579, 107465735, 199931027, 273977884, 418156987, 698613312, 12743145, 14552552, 698607880, -1, -1, -1, -1, 706688664, 129881521, 278744941, 446357034, 39472234, 525405556, -1, 184460179, -1, 594732859, 768969278, -1, 224520832, -1, 157119772, 964523228, 209290688, 647074898, 376443261, -1, 865062326, 374484880, 542820997, -1, -1, 385188122, -1, 602504672, 725144745, -1, 175091878, 432507346, 370440745, 663288169, -1, 812567228, 456167144, 969744247, 681771572, -1, 941021221, 990960199, 324330354, -1, 719500109, 651275181, 562182298, -1, 776540101, 33282740, -1, 335610403, -1, 673587923, -1, 721049555, 508761144, 63667655, 484871097, 9754360, 541038674, 879899066, 109074822, 682656646, 764357562, 853061369, 496062436, -1, 581770996, 370138314, 217711289, 128334042, -1, 727163039, 585191582, 617703042, 50188458, 929881616, 74297044, 921620163, 127765073, -1, 678215017, -1, 194889121, 409064347, 330130579, 439331705, 80340636, -1, 667266764, 937150447, -1, 186967556, -1, -1, 552712543, 331311258, 146315680, 651954249, 144341638, 673190601, 951913996, 832081088, 258114468, 538966144, 434163285, 487319053, 256128229, 710661137, -1, 2598853, 981779953, 92613821, -1, -1, 903200256, 405292575, 951232048, -1, 772489447, -1, 710457526, 731501420, -1, 213351229, 70793344, 656460660, 108975162, 268202329, 25324895, 790280405, 262937795, 377469274, -1, 789778141, 49795243, -1, 20708664, -1, 610286278, 259205740, -1, -1, 591151365, 422035448, 666980349, 918835892, 459916470, 139333429, 467524737, -1, 359448495, 421089328, -1, 602305013, 945891233, 967750710, -1, 812628991, 951140566, 757184668, 255774246, -1, 29699062, 614264225, 855421904, 961312664, 611544827, 134254966, 492460180, 452051055, 966865643, -1, -1, 945319814, 486268200, 774169811, 939639866, -1, 91390492, -1, -1, 125235954, 131260051, 409999578, -1, 103429664, -1, -1, 82517011, 446766411, -1, 673405107, 14544100, 814269800, 427224830, 147976329, 350180833, -1, -1, -1, 419836353, 297345290, -1, 606375489, 238733936, 390243601, -1, 332098089, 323146366, 719430385, 728402916, 220415691, 19801599, 440673064, -1, 34916694, -1, 409248427, -1, 583690644, 201618167, 858604560, 219807040, 211699296, 653697981, 964330779, -1, 976857721, -1, 805727843, 159368559, 76026056, 132151071, -1, 672897758, 669491815, 28692107, 153322893, 955225586, -1, 124506319, 956615220, -1, -1, -1, 530955262, -1, 731272458, 283664029, 732244638, 165458799, 129765348, -1, -1, -1, 267871428, 952457577, -1, 452959123, 531482434, 587612156, 555019139, 550728719, 812085285, -1, 119912617, -1, 483900429, -1, 371695676, 134337567, 229669793, 904763368, 282560627, 156122431, 561212996, 444905954, 976034721, -1, -1, -1, 961827629, 585027087, 797815785, 96817387, -1, -1, 186083452, 607108920, 89961150, 123388544, 904942809, 263052765, 974676820, 342794454, 586150114, -1, -1, 378940534, 664590923, 942947750, 87651896, -1, 793869061, 87127768, 462677392, 244757919, -1, 46686387, -1, -1, 791559712, -1, -1, 723131462, 292785064, 291820923, 838223670, 695036800, 824194940, 934625812, 216338844, 284698489, 859292881, 775159808, 358058369, 643011744, 261001590, -1, -1, 192875993, 460015600, 602956568, -1, 305156712, 814973940, 740256908, 342539582, -1, -1, 129860608, 750447330, -1, -1, 862597389, 573486066, -1, -1, 462003503, 460898597, 14450676, 649845097, -1, -1, 367346943, 229523376, 603951412, 490273709, -1, -1, 402622298, 302596399, 350479883, 409458110, 987667385, -1, -1, 976249753, 22758314, -1, 688063244, -1, 679787970, 689655291, -1, 411233017, 966943137, 539289593, 298529758, 950204883, 835584659, 796770477, 669777717, 942984497, 851268368, 79055045, 141923091, 135417156, 434313387, 115678086, 283821415, 398582422, 58391327, 334059942, 984960551, 866333322, 96386711, 8756464, 103264060, 154000727, 28752769, -1, 512884488, -1, -1, 860232474, -1, -1, 965789759, 174238937, 578002169, 658433796, 436866551, 223660899, 951639522, -1, 776999511, -1, 776542137, 812037122, 732955606, 139890010, 505171823, 935154832, 245335150, 638378250, 722065971, 420054111, -1, -1, 941693163, -1, -1, 368483092, -1, -1, 136950504, 507640161, 477727401, -1, 213957892, -1, 915897951, -1, 907149427, -1, 22687798, 755419197, 324677013, 200709302, -1, 63295306, 347500513, 762104195, 501440581, -1, 505757574, -1, -1, 942635776, 847859554, -1, 610037153, 16112151, 299124679, 658349756, 291693506, 358762891, 635604701, 522013157, 276394917, 344413839, 169007563, 830631951, 148988308, 597057269, 576714559, 162103758, 128782907, -1, 492915628, 448982311, 296959451, 341559130, 703713040, 687250920, 931980629, 489408042, -1, 436267858, 680640604, 555533751, 143930131, 849372360, -1, 71966298, 998518107, 913739239, 654822197, -1, 321850054, -1, 832198860, 696849880, -1, 682032763, -1, 926327212, 472026821, 476106919, 956745690, -1, 989266779, 696176720, 435668207, 907321892, -1, 183968668, 196904866, 995142801, 62211656, -1, -1, -1, 931606597, 59849959, 632167448, -1, 866498759, 437101796, -1, 376945083, -1, 557279943, -1, 778095518, 432215982, -1, 259219226, 369722842, -1, -1, -1, 63069921, 936236682, 132621267, 846736667, -1, 864850756, 982615856, -1, 896252357, 25711670, 681072116, -1, 168029343, 425312075, 210609769, 518645265, 241348125, 154054598, 179245938, 88501044, 409489571, 341274326, -1, 228183519, 549674072, 873389716, 669615741, 874534760, 679140833, 985171732, 958673629, 90425737, -1, 450442940, 377360975, 769384065, -1, 983129947, -1, 225645310, 411092929, 627587888, 91905820, 993108425, 801278767, -1, -1, -1, 679569644, 935809726, -1, -1, -1, -1, 826954684, 611821246, -1, -1, 150820387, 14616140, -1, 546949734, 852259649, 457895328, 625299943, 381181662, 487335140, 868550989, -1, 46916954, -1, -1, 925006023, 480534695, 197108683, 468719315, -1, 299591936, -1, 452276798, 316948355, -1, 981498335, 308212441, 544662430, -1, 181152060, 399690804, 697842654, 641369614, -1, 393986602, 310823289, 928482314, 406992519, 935687081, -1, 963007628, 202556058, 962855620, -1, 912146348, -1, 818693939, -1, -1, 175900478, -1, -1, 258174108, 625774802, 414653490, 30500827, 230091564, 73218290, 737210308, 557991028, -1, 888817395, -1, 610668908, -1, 217727938, -1, -1, -1, 738183191, -1, -1, -1, 433823292, -1, 412990529, 488290748, 810206889, -1, 492140669, -1, 240863935, -1, -1, 377450861, 435531568, -1, -1, 223930908, 840720439, -1, 554590720, 431437810, 469675799, -1, 115558142, 317592935, -1, 693210377, -1, 54722108, 718908958, 341964402, -1, 863881117, 646726066, 313442521, 878598789, -1, 799721483, -1, 460021601, -1, -1, 353168105, -1, 707881385, 837759527, 963497765, 961291189, -1, 630902692, 50122141, 806338244, 785046091, 943341717, 548852555, -1, 141253561, -1, -1, 135049137, 621941609, 606704934, 176893829, 440340780, -1, 541270066, -1, -1, -1, 602244408, -1, 555145356, 794310275, 946574587, 961998311, -1, 735002204, 936521141, -1, 224148295, 847123964, 285806349, -1, -1, 575937106, -1, 716274273, 681817106, 667942694, 957078693, -1, -1, 236006629, 808548395, 912058991, 220867842, -1, 860504426, 38144349, 695063826, -1, -1, -1, 218872980, -1, 526619780, -1, 287196608, 299185574, -1, 743474309, 631370571, 538449224, -1, 617399150, 6569389, 132262004, 163903153, -1, -1, 441028681, 711130828, 586338280, 194292399, 923323160, -1, -1, 750652778, -1, 614775610, -1, 623382870, 778409869, 422759576, -1, 700873514, 168252171, 162138097, 975396858, 583912382, -1, -1, 29726082, -1, -1, 655133684, 677313057, -1, 698267631, 891326098, 443349206, 987969645, -1, 739856207, 949878130, 759096717, 506376300, 305201632, 646448889, 669401094, -1, 215927498, -1, -1, 81958772, 214174068, 12528641, -1, 692842546, 649856196, -1, 540270948, 667260831, 76104568, 424922153, -1, 614065395, 269832296, -1, 471509686, -1, -1, 407402342, -1, 896817580, 652817076, 337807247, 46381756, -1, -1, 869824864, 90440130, -1, 507492848, 164335975, 648204666, 743800522, -1, 238688938, -1, 924454961, 390283126, -1, 137073942, -1, 145765752, -1, 331262916, 799656062, 555516613, 505834151, 67545280, 246625299, 196602130, 815337201, 102720489, -1, 490836220, 69953812, 727971870, 604905501, 355402008, 438534187, -1, -1, -1, 20379991, -1, -1, -1, 512765276, -1, 169859866, 425781792, 39478919, 808978728, -1, 725346547, 37844493, 613572307, 162339908, 392086069, 636187924, 886772381, 784064144, 896053730, 98362068, -1, -1, 393131368, 141026198, 953243112, 850956772, 767312129, 674875824, -1, 423982365, -1, 548637685, -1, -1, 377495185, 879801627, -1, -1, -1, 376613118, 628367504, -1, -1, 289870332, -1, -1, 209021265, 690898093, -1, 890863096, -1, -1, -1, -1, -1, 185439399, 90496575, 381140456, 321889496, 480470242, 348111710, 206716141, -1, -1, 325596855, -1, 342192610, 223943935, 244878971, -1, 513339203, 554865455, -1, 147405629, 778508962, 785365485, -1, 942798049, -1, 676741554, 558375690, -1, -1, 135034237, -1, 370190742, -1, 206340781, 422862333, 965490124, -1, -1, -1, 115494421, -1, -1, -1, -1, 800656426, 785105246, 80645201, -1, 722188907, 562217454, 39326066, 333918676, -1, 403863192, 872601042, 359296673, 497702617, 209842818, 67609378, 665182167, -1, 749356410, 102095609, 465323889, -1, -1, 576373715, 282458188, 115028248, -1, 299308706, 314078070, 606407505, -1, 910959165, 913718539, -1, -1, 625028683, 41894384, 165616893, 316292969, -1, 710474229, 91962426, -1, -1, 352017175, 233683409, 703066660, 589709860, 668830673, 393962215, 537550853, 415753419, 405865499, 745324255, 534889899, -1, -1, -1, 266479104, -1, -1, -1, -1, 55271123, 115261704, 891703490, 33587609, 796562517, 703010016, -1, 535526761, 134028640, -1, 941002505, -1, 582586672, 302951262, -1, 944383947, 330208099, 875195293, -1, -1, 573574826, -1, -1, 345560471, 520688896, -1, 725020206, 697859064, -1, 248706740, 948750506, -1, 494271050, -1, -1, 550674391, 566313046, -1, 901291633, 997660345, 459081633, 917076413, -1, 896817235, 367983527, 538882087, -1, 742335463, -1, -1, 288617912, 523886964, -1, -1, 74755199, 395183072, -1, 52001610, 780902207, 249401034, 978259482, -1, 863245975, 783766702, -1, -1, 582632382, 521432608, 489180370, 624153302, 679647211, 478068325, -1, 69637645, 863386592, -1, 615972015, 493211243, 727683929, 879037012, 876962250, 49767931, 288189862, 618968613, 724315380, 992739240, 448588287, 652235351, 583874574, -1, 542454209, 814166079, -1, -1, 290340764, -1, -1, -1, 908746972, 900285774, -1, 514596086, 567633183, 504750160, 448257549, -1, 515984626, 807835681, 758674702, 465504632, -1, 932442942, 411985446, 400590013, -1, 82791948, -1, 187011339, 847089508, 570103468, -1, 509914430, 451423029, 660303058, 851753789, 267944190, 766651131, 895664860, -1, 617232259, -1, 412840380, 830380722, 21674036, 518529723, 693722437, 520699712, -1, 872435906, 629478416, 458957980, 62977893, 485827729, 612791745, 129810834, -1, 955116879, 665330665, 69772136, 863385618, 576422343, -1, -1, -1, 62043794, 874667448, 47309278, -1, -1, -1, -1, -1, 755639151, -1, 409065275, 29545889, 582997463, -1, 906527116, -1, 568873624, 947395145, 369780100, -1, -1, 962355496, 401147419, -1, 655873636, -1, -1, 807358631, -1, 489525818, 931107010, -1, -1, 214776040, 965403349, 946111061, 774759483, 799688369, -1, 963716522, -1, -1, -1, 115788011, 209926240, 886674515, -1, 96387221, 628513106, -1, 783236881, 651565469, -1, 165942244, -1, 896188766, 974635557, 69832510, 668397938, 406374, 126167358, 32122984, 466068578, -1, -1, 170173030, 815990321, -1, -1, 385619776, -1, 156612925, 568267569, 67641337, -1, 41685981, -1, 752697731, 581149884, 307893249, 331346326, 904667608, -1, 291678628, -1, -1, -1, 614884851, 227176572, 115920288, 479168675, 978688868, 997252673, 931778619, -1, 10738461, 584943256, -1, 169877667, 575193749, -1, -1, -1, -1, 150642211, 246684665, 593539206, -1, 45177390, 166858312, 662852736, 122779551, 211358048, -1, 351881298, -1, 55847607, 449049257, 156879718, -1, 128386553, 371735176, 648968973, 826698502, 249073375, 980751733, 392097145, 642244450, 708976185, 277980722, 957939392, -1, 478410202, -1, -1, -1, 551424894, 126670513, -1, 594641678, -1, 847129248, 471138685, -1, 402216080, 314856273, 726610462, 592498832, -1, 804106572, 930168881, 282203839, -1, 763359282, -1, 498733751, -1, 328590830, 25351271, -1, -1, -1, 200886942, -1, 214130860, -1, 392488632, 593441182, 413433260, 213225016, -1, 935701335, 602000655, 550057788, 286749238, 536211206, 888649110, 394022726, 646543400, -1, 755871547, 395794742, 329199242, 240789234, -1, 980851476, 892282954, -1, 290261643, -1, 525542593, 266574619, 424094198, -1, -1, 43936048, 293823569, 779830206, -1, -1, -1, 778534405, 241555463, 351010167, -1, -1, 850423350, 858246322, -1, -1, 723355172, 696860260, -1, 191982329, -1, 927835737, -1, 596343051, -1, -1, 694671300, 441472571, 647898453, 325251523, 217033871, -1, 691129000, 511008883, -1, 697537189, 731577126, -1, -1, 837344829, 624542221, -1, -1, 978034476, -1, 889812755, 105852784, 213647858, 456043904, 732439699, 724205069, 355475047, -1, 859650265, 761319117, 60796914, 38432511, -1, -1, -1, 645379239, -1, -1, 831432388, 668043549, 352527874, 584532341, -1, -1, 485657626, -1, 409810143, 406937554, -1, 570324705, 314100633, -1, 541540044, 55842247, 997842736, 980168829, 648277901, 49631041, 38077433, 625431901, 3984080, 143525752, 169914298, 392856718, -1, 698977396, 300432582, 417317474, 844244608, -1, 577904472, 682329649, -1, 740232774, 801921531, -1, -1, 854522812, 626661383, 398182822, 454676998, 721886219, 715644791, -1, -1, -1, 738402542, 828021305, 417468107, 481629196, 64217168, -1, 71279352, 698446999, -1, 449969634, 572679791, -1, -1, 513311061, 571085514, 119217783, 173112434, 637847737, 65445520, -1, 166683512, 956186074, -1, -1, -1, 572690083, 961479287, 877578400, -1, 183160842, 391284462, 886302002, 412274883, 437918010, 5630323, 559218516, 704977933, 369250421, 22769335, 221090043, -1, -1, 367999542, 165632310, 575855261, 517801632, 22734165, -1, 632665353, 482249662, 531447638, -1, -1, 337782494, 645142216, -1, 560956570, 771268484, 832111484, -1, -1, 457801992, -1, 619660534, -1, 298180609, 820796224, 642288473, -1, 398159248, -1, -1, 191189758, 752610215, 594641599, 355547488, -1, -1, -1, -1, -1, -1, 377493311, -1, 958590771, 606800127, 215039319, 710744681, 824578369, 75013107, -1, 40190855, 978516291, 531212422, 875235671, -1, 249597924, -1, 647842724, -1, -1, -1, 983643280, -1, -1, 335175453, 106706690, 22395540, -1, -1, 440573456, 889536660, 247551134, -1, 368669588, 375081580, 233667011, -1, -1, 807389602, 327837640, 583161670, 605012961, 983512961, -1, 623235549, 681287549, 667645664, -1, -1, 202886265, -1, 118132230, -1, 256298405, -1, 49088228, 17276220, -1, 540136440, -1, 189518425, -1, 75957257, 167077019, 701902599, 805164352, -1, 290909232, 520304923, -1, 726283233, 155680788, -1, -1, 623885562, 20321917, 238199708, -1, -1, -1, 159042150, 854265491, -1, -1, -1, -1, 649669501, -1, 50974759, 507175497, 109702167, 44936084, 545617937, 319701343, -1, -1, 601890111, -1, 674379199, 17698045, -1, -1, 516437772, -1, -1, 840414222, -1, 10446329, 986875299, 115976764, 480294427, 798840083, 679003051, 992416528, 135372623, 820431456, 792608612, 769746556, 874918591, 740226005, 683142052, 92880084, 199279385, 125454774, -1, 899969206, -1, -1, 127743546, -1, 606551420, 493204243, -1, 580549810, 149958078, -1, -1, 255507881, 425496035, -1, -1, -1, 232714914, 137922224, -1, -1, 368388174, 239001042, 187084211, -1, -1, 590124938, 550164040, 692202468, -1, 40872029, 655952432, 409092799, -1, -1, -1, 592623869, 722047567, -1, 7755564, 315363890, 997583078, 104770471, -1, -1, 182498281, -1, 116164249, 591419066, 768452160, 218417658, 796143782, 695148784, 640953560, 216866943, -1, -1, -1, 485075303, 53907584, -1, 463584631, 923472668, -1, 162509777, 478776763, -1, 836599708, -1, 1152525, 440768136, -1, -1, 439643326, 213968076, -1, 176050885, 961434486, 974458760, -1, 746407197, -1, 164844369, -1, -1, -1, 839983349, 643328155, 286095821, -1, -1, -1, -1, -1, 716404623, 180923936, 929938046, 816415052, -1, 52527140, 358622192, 248381127, -1, -1, 814266046, 514427995, -1, 747955741, 455676366, 158491757, 632342098, 781245235, 739701204, -1, 86364591, 978735068, 336804701, 770134251, 246920051, 244065027, 897108560, -1, 195065501, 776168707, 869643362, 571028443, 643851838, 65335709, 421848564, -1, 498364485, -1, 557044958, 820133356, -1, 798575269, 353358501, 703951500, -1, 771748183, 881175838, -1, 624830798, 176235151, 591616692, 932686208, -1, -1, 341084608, -1, -1, 386401657, 656446273, -1, -1, 517984166, -1, -1, -1, 919764917, 458942667, -1, -1, 826056954, 259187824, -1, -1, -1, 593300127, 672290824, 448032019, 958023668, -1, -1, -1, -1, 77924415, -1, -1, 103513346, 517104160, -1, 929929214, 262338233, 384037563, -1, 485389895, 19046865, 362749066, 909914762, -1, -1, 639316109, -1, 526578399, -1, 297987051, 637935698, 479481405, -1, 583688155, 424133555, -1, -1, -1, 845746747, -1, 3671378, 830145583, 999542722, 719036145, 894592465, 541853219, 980876752, 497514503, 489046789, 255649125, 52528138, 971999057, 680076555, 79980375, 226968260, -1, 939771197, 58369549, -1, -1, 261213625, 210227757, 46361868, 410365481, 4826495, 674659901, 553093725, 539108088, 21118189, 213785570, 91694428, -1, 279576609, 972255625, 539661215, 406519067, 667268564, 370855605, 782941273, 992393062, -1, 349184373, -1, 829341377, 812458862, -1, -1, 420520275, -1, 606652287, 578326351, 504394198, 787946450, 696248035, 34564769, 915619896, -1, 457951311, -1, 313877821, 564045799, 798945006, 21656143, -1, -1, 67190327, -1, 113841559, -1, -1, 27636209, 267965288, 481601660, -1, 690328890, -1, 858473126, 593095206, -1, -1, 946569027, -1, 191606680, 801724472, -1, -1, 281717559, -1, 123297532, 475215299, 919732265, -1, 632202077, 334687151, 205923700, 252077338, -1, -1, 765592488, -1, 963117305, 187192845, 914352571, -1, 453025025, 474052908, 430411119, 888228715, 97680740, 337944385, 581578193, -1, 243484711, 293672040, 289867850, 154859796, 849775479, 266383932, 138712205, 82912933, -1, -1, 544372382, 326969376, 893320978, 973394123, -1, -1, 143067237, 598456317, -1, 864735867, 69548724, 17511166, 729648781, 706566362, 854015362, 648524443, 743285351, 301071243, 756542879, 709836150, 263603820, 297030337, 105986956, -1, 548070987, -1, 70597768, 979600172, 100256722, -1, 260969148, 763056493, 467817093, -1, -1, 355303347, 4924691, 569167524, 800304005, -1, 12551708, 203214670, 152881786, 11747887, -1, 210869199, 369634381, -1, 340023750, -1, -1, 921840784, -1, -1, -1, 321242730, 491861285, -1, -1, 487574771, -1, 578915354, -1, -1, 480731858, -1, 971720246, -1, 320560261, 456257125, 185068771, 338963727, -1, 980430490, 977697565, 465850910, 595274308, -1, 232543976, 964157636, -1, 740180504, 153149388, -1, 411128260, 743856958, 2529426, 598099161, -1, 735915892, 485277839, 397326316, 34209385, -1, 69324318, 788535342, 635648689, 462014497, -1, 998311189, 309771696, -1, 284464839, -1, 418176945, -1, -1, 650457861, 4785195, 231670575, -1, 164795897, 496024909, -1, -1, 512064474, -1, 812864058, 511999651, 859338061, -1, 419276642, 35006139, -1, 767456384, 876668779, 632124775, 536414606, 291281737, 135968565, -1, 401769725, -1, 800726322, -1, 961994170, 590299724, 813199361, 86323261, 400100378, 769170301, 444778738, -1, 721735323, 987237551, 461739424, 587770500, 913969504, 930534032, -1, 363630546, 5329407, 358131785, -1, 369487087, 382892348, 730703378, -1, 496573839, -1, 329376229, 957053265, -1, 516451591, -1, 66486305, 424600845, -1, 837492503, -1, -1, -1, 901938824, -1, -1, 232602246, 713463718, -1, 347178899, -1, 936245071, 542739624, -1, -1, 832987407, 822651210, 200760448, 97504528, 603705945, 310696117, 293205089, -1, 788774417, 962155378, 25665316, 438207176, 461059147, 459631020, 414568468, 291060452, 779927424, 149044942, 389229357, -1, 95655935, 97661436, 11401466, 311228682, 582818998, -1, 914536468, 710408964, 665617796, -1, 796413889, -1, -1, -1, -1, -1, 222053112, 56191021, 657337061, 155170647, -1, 555888776, -1, 349919451, -1, -1, -1, 846648291, 527203147, 171502391, -1, -1, -1, 981994849, 648635872, 774377082, 758935422, -1, -1, 717287472, 80962191, 148870766, -1, 957922494, 933154587, 691920930, -1, 526303033, 155370184, 643672297, 816656364, 361721220, 416660374, -1, 537209748, 277521245, 387543759, -1, 618780357, -1, 858443741, -1, -1, 941586586, 984086790, 500040635, 121626474, 943803925, 494372832, 606553600, 643186710, 358496744, 537393109, 53642620, 830169059, 413181311, 265292898, 13737213, 876940593, -1, -1, 606219420, 994491733, 342153864, 878995122, -1, -1, 583558285, 395817256, 389015259, 69903445, 482495224, 61817310, 412010481, 87827161, 632095631, -1, 906201443, 98894816, 805104199, 369425429, -1, 411976577, 935296675, -1, 325663604, -1, 856809646, -1, -1, 152301639, 339063026, -1, 817816002, -1, 432417735, 814552682, 919222614, -1, -1, 769822359, -1, -1, 151125735, 798705182, 259290996, -1, 487485373, 271381842, -1, 924135635, 14676317, 368330197, 530733709, 33252059, -1, -1, 697742967, 966035202, 233919543, -1, 900535532, -1, 888700006, 163077949, 98239433, -1, 161641208, 931573619, 812590943, 152014989, 136003177, 300192124, 201978939, 58646120, -1, -1, -1, 417992739, 934821972, 633103260, 356769451, -1, -1, -1, 626214793, 347857121, 723414711, 612686342, 181949301, 164197361, -1, 665750813, 768155847, 394190227, 519850214, 302817270, 285879128, 329674479, -1, 338633884, -1, 114758059, 752469275, 868448541, 187794746, 288041040, 158780411, -1, -1, 421585894, 177651480, 642006976, -1, 344487715, 577596757, 55209536, 75005063, 555856688, 925745188, -1, -1, 908150349, 334484019, -1, 548714228, 232652346, 90644776, 918786526, 968304942, 896151933, 510624432, 141186676, -1, -1, -1, -1, 245546965, 102634946, -1, 976794384, 708897561, -1, 189274338, 65228509, 902704813, -1, -1, 783898538, -1, 592447739, -1, 46063220, -1, 203080225, -1, 918801641, 889454583, 576811591, 876109400, 588639128, 589334838, 845594041, -1, 520457608, 573965895, 154704735, -1, 680669038, -1, 84812937, 574894771, 871288992, 204994042, -1, 592524903, -1, 784181062, 978079907, 400371539, -1, -1, -1, 15369797, -1, 709093618, 88682284, -1, 608282852, 730991243, 403490010, 705798124, 688092175, 359979962, 862473925, 967624762, -1, 877382349, 855032509, 269180221, 19022802, 169819747, 216689041, 293051602, 332335505, 720663688, 686331683, -1, -1, 101399294, -1, 847081642, 824020807, -1, -1, 667176673, 807925629, 558195193, 938769168, 592366655, 170575215, -1, -1, 787758285, 510532373, 799212980, 42276858, 876420177, 613048030, 824636474, 462791196, -1, 402009756, 648688805, 930688928, -1, -1, 970182669, -1, 906225001, -1, 919547453, -1, -1, -1, 9910181, 912220225, 929923950, 795599735, 779625367, 501620216, 222349055, 864750954, 902724767, 468569065, 108699091, 958225308, 435179319, -1, -1, 247502455, 445304920, -1, 318383669, 778065085, -1, 400408465, 80234484, 536957304, 156840584, -1, 271748590, 904406256, 272151835, 70834293, 493945368, -1, 310940844, 328754903, 712374652, 403982669, -1, 213892006, -1, 475152941, 39217140, 220517805, -1, 527582517, 581004440, 939121443, -1, 457415793, -1, -1, 542920749, 679266623, 17107221, -1, -1, 148098300, 304438434, 264481040, -1, 6544073, 822222684, 367759970, -1, 677727550, 895876892, -1, 268703600, 471508320, -1, -1, 948862871, 552679655, 222114757, -1, -1, -1, 671267544, 895788946, 231346502, -1, 379088855, -1, 950666240, -1, 918700710, 155360105, 935693287, -1, -1, -1, 228842115, 79276932, 497065951, 467029472, 677544661, 412393365, 381159147, 233569204, -1, -1, 513280773, 588461658, 606528145, 790189768, 848116902, -1, 768061219, 381921643, 365818046, -1, 684877212, -1, -1, -1, 762042432, 986771134, 236439998, -1, 895109436, 516163140, 323270274, 291385271, 832484529, 870604626, -1, 7569055, 399694719, 596704714, 959583161, 86392125, 656095723, 505182837, 781947063, 114979292, 437654562, 953551611, -1, -1, 762220550, -1, 429764145, 598093445, 869505900, 770514738, 654750927, 475243409, -1, 914716049, 674758963, 999959503, -1, 144563309, 808938760, 704300217, 889911184, -1, 570360804, 366236124, 237880315, 887645550, 802038012, 820169436, 533917451, 522335254, 127825665, -1, -1, 295516144, 69765971, 688346703, 196132091, -1, 517786627, 815932062, 238304500, 373300975, 504482477, 223520561, -1, 431053828, 550951189, 518531858, -1, 200166182, 796598628, -1, 190305674, -1, 881218791, 353589528, -1, 62295487, -1, 565561570, 840304016, -1, 16619156, 81913788, -1, 751133541, 692409497, 660423219, -1, 765654396, 612793130, -1, 964123115, 350015424, 104524966, 130613199, 671853989, 822543679, 249095478, 1980798, 745435549, 320237880, 976688672, 678509189, 875177984, 898702622, -1, 67791369, 608820925, 954209782, 467880424, 176427891, 124792351, 357644014, -1, 103397105, 1110344, 359512844, 250495573, 438217136, -1, 5999458, 737535031, 153663683, 425932254, 173971939, -1, 392091945, 762682037, 387588958, 500887154, 605319883, 833420713, 990789389, 402051117, -1, 980897712, 19577155, 416624173, -1, 316025557, 615786890, 337754391, 625595954, -1, -1, 850846188, -1, 614988047, -1, 962846135, -1, 348013296, 271904058, 884265924, 885467624, 152878380, 626160255, 892205789, 256469747, 709981601, -1, -1, 538387226, 657642454, 727415892, 805810694, 72072474, 190685048, -1, 457868104, 900428169, 545514418, -1, -1, 168639802, 979160911, -1, -1, 456444034, 36855978, 448661317, 957124677, 30447182, -1, 138581871, -1, 290506411, 211966848, -1, 430279226, -1, -1, -1, 536598074, 412659204, 462382343, 436048480, 12384328, 289487371, 941598650, -1, 104948711, 762455995, -1, 110264854, -1, 111455111, -1, -1, 646369572, 588143358, 727187020, -1, 816043667, 698059003, -1, 288931725, -1, -1, 875656921, 498605813, 513992840, -1, 875961069, 682995390, 353086902, 38138945, 547852267, 835684912, 951122685, 936542731, -1, 177421338, -1, 483106116, 494930583, 139248372, 974545052, -1, 274488204, -1, 276937462, -1, 913700403, 607230408, 987035503, 345146145, -1, 160197974, 541902916, 778122645, -1, 881378397, 522299066, 366714685, -1, 444922173, -1, 216254941, 343697218, 626289530, 435263112, -1, -1, 231913787, 621363187, 861600607, 402126817, 996431534, 76324132, 343854128, 236624236, -1, 416148568, 286487557, -1, -1, 315923998, 784346040, -1, 273246467, 111824144, -1, 197857146, 537315412, -1, -1, -1, 576826566, -1, -1, 861466614, 271227720, -1, -1, -1, 586908860, 283723960, -1, 890178042, 987356036, 878711174, -1, 526261008, -1, -1, 261829567, -1, 144038676, 648480096, 542809753, 538343449, 36757219, 392411114, -1, 467890844, 747982663, 653263551, 469720200, 488742147, 794561306, -1, 320166587, 293756922, 52827399, 819729206, 12182822, 14196364, 168559736, 322473732, 535327552, -1, 521444875, -1, 170669354, 828040498, 733711848, 941299153, 983745786, 432544160, 590843597, -1, 72916302, 920468588, 890626000, 335007419, -1, -1, 829011641, 865002794, -1, -1, 551380748, -1, 209472356, 188124546, 485410041, 213868799, -1, -1, -1, 200610862, 190053360, 818613214, -1, 319366741, -1, 655994717, -1, 592247098, 977951790, -1, 797813954, -1, -1, -1, 863461744, 991082309, 217993920, 273968876, 49862175, -1, 703307873, 409517805, 864664345, 954430176, 245835465, -1, -1, 499001866, 224253407, -1, 633322430, 277922764, 505754971, 950451967, -1, -1, 593602945, 691371943, 695566827, 863358958, 567246768, 557693248, -1, 862093247, -1, -1, -1, -1, 103579670, -1, 433710894, 124771497, 894640548, 572730003, 511219112, 776937289, 46451530, -1, 368640355, 480778152, 88586945, 943933924, 887055144, 86934809, 39688448, -1, 146502881, 819191969, 358176964, -1, 353781622, 516148789, 200772840, -1, 198922799, 933632002, 473804973, 747689688, -1, 340207615, -1, 608979201, -1, 695289911, 60568666, -1, -1, -1, 177533286, -1, 773375916, 656288577, -1, 161385763, 586918416, -1, 809201670, -1, 794212563, 345675832, 567341837, -1, 878417660, 759042124, 230067599, 779471224, -1, 198002316, 356029194, -1, -1, -1, 633612471, 107567486, 262443878, 713472327, 809359241, 102091023, 913414186, 825030733, 700718192, -1, 131785876, -1, 177390350, 641768174, 831984328, 553807665, 924072261, 962717276, 602508363, 444769264, -1, 935738622, 879346263, 509207664, 263768652, 9015526, -1, 651204947, -1, 440531283, -1, 716544051, 215200687, 455438784, -1, 305071097, 642119447, 313369837, -1, 711113002, 359860711, 728793145, 855305202, 342056386, 277875025, 33406525, -1, 663649136, 819747285, 437228537, 359995542, -1, 409177057, -1, -1, 830261194, -1, -1, 645162794, -1, 401702154, 708847169, 213909180, 824502195, 93512868, 479340089, -1, 737621065, -1, 474515549, 915962483, -1, 988935849, 932342544, -1, 270303142, -1, 35731623, 847645579, 230440103, 213864900, -1, 276276919, -1, -1, -1, 553285839, 272222338, 599762615, 904616828, 430050230, -1, -1, 831072831, 813902986, -1, -1, -1, 984876727, 708801883, 798766949, 925756182, -1, -1, 928858799, 132575885, 192895404, 643385674, 231207453, 264328484, 387675044, 826973219, 479895293, 560735523, -1, 943217926, 202778912, -1, -1, 833538803, 750637077, 698069651, 929072951, -1, 253062236, 975261246, -1, 48208155, -1, 997635245, 24710172, -1, 409822840, -1, 327128716, 504963338, 741549571, 123465881, 439658798, 39094687, 915318264, 183407879, -1, 550670115, 731158400, 176953335, 980653112, 504385294, -1, 436718044, -1, -1, 672761284, 663318136, -1, -1, 779380111, 939725106, 641953089, 16848772, -1, 985850608, 502768955, 752338464, 394878374, 401965475, 357354566, 883822364, -1, 230278641, -1, -1, 930294658, 760393934, 608454599, -1, 354455153, 913818416, 154983579, 830448642, 166213311, 331222109, 611440134, -1, 326398057, 124579312, 895995819, 84923190, 67237764, -1, -1, 637037687, 742503479, -1, 469642936, -1, -1, 201658315, 736655470, -1, 360322568, 709612455, 205054064, -1, 244766986, -1, -1, -1, -1, -1, 313286357, 998624706, 735320893, 248119572, 548006094, 22390526, 180754398, -1, -1, 934272569, -1, -1, 854268540, 453415991, -1, 141932358, 785931121, -1, 399483405, 239966919, -1, 21841060, 185951506, -1, 78680096, -1, 976821935, 102977962, 745487541, 93014774, -1, 391844021, -1, 412536174, 346078650, -1, 373836282, -1, -1, 151417254, 637511743, -1, 527635461, 706051036, -1, 258008310, 896499876, -1, 244307649, -1, 747547822, 151756361, 839002328, -1, -1, -1, -1, 243555825, -1, 539209380, 266519995, 799416318, 403046246, 834706689, 911722801, 420801399, 75563816, 938567000, -1, 270175232, -1, 738561308, 300660359, 749027559, 287123140, -1, 571926791, 432372421, 414217403, 714119462, 529951718, 567950898, 961189774, 434952049, 436159538, -1, -1, -1, 587630218, 393429347, -1, 816153802, 301839417, -1, 61837100, -1, 784517557, 265760393, 44960006, 581332336, 203957978, 877048767, -1, 242169692, 488877690, 384257978, 619334295, 166604096, 982121432, 272881016, -1, 978617851, 363021301, 41307519, 628269267, -1, 875552386, -1, 504668198, -1, 303018687, -1, 118649790, 966612062, 952489286, 123272138, -1, -1, 423495807, 451897148, 521716475, 847168860, 983808764, 665112001, -1, 799273588, 528336016, -1, -1, 981232142, -1, -1, 643574842, 637852461, 312020633, 717974283, -1, 189735193, 795009027, 876581603, -1, 789116964, 504711047, 671331268, 937409254, 476652550, 989420510, 718140258, 207443153, 139004388, -1, 514672005, 499896471, -1, -1, -1, 452934479, 785910949, -1, 293577159, 489555597, 770167575, -1, 390884875, 769696709, 713412159, 263094785, 76702244, -1, 164059739, 373950434, -1, 270130421, 202811527, 749906888, 728119410, 505097288, 782209665, 225161400, 11517333, 810965746, 72088021, -1, 987784414, 650868327, 426004877, 630917516, 10276560, 871591148, 183131148, 305543430, -1, 125206324, 741756775, 920476570, -1, 466013390, 830782261, -1, 91344163, 823960122, -1, -1, 643956806, 110229522, 733207022, 529617348, 960746829, 26570816, 634751851, 596903157, -1, 642997969, -1, 952160911, -1, -1, -1, 760296932, 725755950, 142255819, -1, -1, 948906381, 272359378, 569122360, 238131962, -1, 358230838, 522174332, -1, 90361634, -1, 276075942, -1, 500519772, 564884752, -1, 321870976, 127323286, 421397338, 379380434, 182001145, 110902279, 57384680, 566274189, -1, 70752436, 955386207, -1, 442216455, 493079255, 306988509, -1, 19977752, 336260415, -1, -1, 978873903, -1, -1, 324526590, 125863928, -1, 393360460, 957895007, -1, 433206991, 776718899, 789314239, -1, 640667724, -1, -1, -1, -1, 880555984, 877172317, 673884087, 625361280, -1, -1, -1, 790622530, 805440395, 773987576, 758447160, -1, 825295147, 242875550, 366568452, 518173052, 974274737, 291731455, 922015407, 732452456, -1, -1, 510856358, 382122310, 934260566, 945507529, 798230863, 778960723, 335937705, 578592083, 375343434, 169691964, 330975608, 452622278, -1, 412203392, 766523218, 958946217, -1, 108734827, 290390551, 293083104, 994971262, 63788691, -1, 414809423, 557225582, -1, -1, -1, 524229713, 652744152, 832603905, 901274775, 374181492, -1, -1, 421305069, -1, 390968469, 286792041, -1, 371403647, 197494178, -1, 798019672, 756792254, -1, 716206769, 462822237, 851289576, -1, 680106027, 945647976, 936849197, 975653477, 362248389, 443175315, -1, 129071418, 440812225, 601541996, -1, -1, 913329575, 468719262, 906930513, -1, 500540878, 647423831, 908344899, 10293133, 165509062, -1, 866595539, -1, 571430300, 277244103, 246600202, 332744937, 698107485, 579630139, 413190887, 275054226, 609601813, -1, 518188716, -1, 951324974, 747470088, 940481778, 208307882, 253564757, -1, -1, 376214594, -1, 663560880, 852618766, 115664227, 908350051, -1, 581251471, -1, 317268535, 771974146, 772958585, 49859097, 797316183, -1, -1, 280882568, 100086586, 753216237, -1, -1, 353730649, -1, 598165289, 582407528, 936556497, 837947385, -1, 553213224, 105228913, 197480677, -1, -1, 121431794, -1, -1, -1, -1, 34584165, 123856906, 444040968, 260812181, -1, -1, -1, 530923539, 202980240, 782654923, 489459218, -1, 477347882, -1, 65360141, 888348087, 697246669, 565715958, -1, 417601210, -1, 346830993, 829493374, -1, 667703886, 575020849, 230485110, -1, -1, -1, 864666477, -1, 687972851, 268399942, 558447243, -1, -1, 757425124, -1, 494192574, 216445945, 875960823, 320771451, 581235180, -1, -1, -1, 606265936, 945631623, 322648485, 521623723, 584590249, 19549729, 656775055, 225623444, 490299107, 9679274, 213367270, 755498374, 684898165, 985286624, -1, 199461604, 606102510, 685684262, 566295544, -1, -1, 316693787, 378994257, 733331184, 991984390, 657625448, 218895689, 757025528, -1, 961794315, 910332840, 847853847, 889287702, -1, 694411994, 96110143, 944832169, 989666438, 77038921, 359759657, 463466930, 106380362, -1, 905997191, 943861961, 595368727, 485506137, 104482613, -1, 976251733, -1, 898559212, -1, 372556134, 87812834, 745074172, 156092049, 836333493, -1, 766997114, 90617135, 552373407, 725449523, -1, -1, 52035359, 404480502, -1, 736717278, -1, 363080735, 763549764, 69268395, 965282458, 254224198, -1, 409346957, 921841197, 905104150, -1, 241252713, 404139547, 956377455, 704906760, 555905199, 86611051, 854416256, -1, -1, 691907082, -1, -1, 910390020, -1, 864392985, 225386761, -1, -1, -1, -1, 981232921, -1, 479658414, 987943360, 379618615, 964266906, -1, 220535900, 64849968, -1, 536287019, 510384180, 431902250, 203616423, 485115545, 366794339, 346414484, 697779277, 856685151, 469878107, -1, 610169327, 334277299, 438787438, 475418631, 588128014, 896100301, -1, 175539713, 109980776, 485523142, -1, 70922487, 710351015, 104497641, 441926358, -1, -1, -1, -1, 900391605, 717922138, 504459122, 798045176, -1, 657594034, 238452377, 105649017, -1, 386131465, -1, -1, 273016293, 155414057, 599126715, 276739108, 536928938, 755664826, -1, 97178796, -1, -1, -1, 490803732, 716187799, -1, -1, 801763867, -1, -1, 7906354, -1, 516754390, 454138364, -1, 874636972, -1, 191915188, 993434246, 883759168, 724097001, 527693422, -1, -1, 325145552, 36818365, 377480235, -1, -1, 30201300, 883319178, 346759812, 563929901, 144909979, -1, 152306403, 972462497, 114678997, 389192197, 710620464, -1, 833708494, -1, 873301240, 66791077, 156320863, 787366177, 628175727, 355850558, 268783140, -1, 657979006, -1, -1, 173981782, 925421537, 926104275, -1, 521249511, -1, 57437886, -1, 412980619, 874206920, -1, 677185545, -1, 998718643, 50349548, 485820992, -1, 748149901, 489659807, 186574786, -1, 493347568, 435915140, 575259986, -1, 836532953, 154240582, -1, 446260467, -1, 419957328, -1, 260224810, -1, 968770576, 399247511, 891967459, 134003705, 935705355, -1, 517381996, 335737209, 670829246, -1, 838506443, -1, -1, 604281640, 35199357, -1, 352057410, 908339253, 985829128, 332512835, -1, 4245904, 317666761, 933570528, 2248086, 341189455, -1, 698663614, 522041436, 60895584, -1, 642598893, 101959463, -1, -1, 454486407, 759077860, 693805981, 618696331, 978901632, 879054317, -1, 165344681, 183779099, 864262562, -1, 581066231, -1, 488644912, 191151792, 387694400, 584256795, 822071043, 647455779, 928507938, 444179569, 860309852, -1, 537455482, 394257758, -1, 716378222, -1, 906905208, 148232692, -1, 507860965, 818554501, -1, 186341836, 468179603, -1, -1, -1, 9775857, 270460135, -1, 932254872, 148626004, 109909737, 66702526, 15638616, 716662873, 847158405, 334360869, 588401079, 571779425, -1, -1, 413116252, 108279878, 273997434, -1, -1, 554125652, 398136865, 402914596, 448515681, 769552312, -1, -1, 634786754, -1, 835964886, -1, -1, 263318826, -1, 366279320, 463971732, 580608242, 26400290, 317825699, 46700447, 924498626, -1, -1, 152294823, 62266689, 253259239, 343859960, 904607915, 635941220, 530402019, -1, -1, 146370217, 894229802, 613016795, 534766176, 348918501, 947537429, -1, 500023408, -1, 766623112, -1, 542333982, 927908641, -1, 27755534, 456192968, 404257581, 721079712, -1, -1, -1, 789874512, 143934292, 420443354, 251672510, -1, 211503911, -1, 690530663, -1, -1, 151755653, 801744059, 357178734, 6738604, 561600728, 797711814, -1, -1, -1, 520420310, 423317070, 582069016, 602803094, 909022104, -1, 859215038, 902550062, 79019288, -1, 131745557, 7008651, 31652823, 935234538, 201137670, -1, -1, 404875738, 779647829, 445497457, -1, 237102899, 882532212, 32359312, 364426335, 666776925, 800566797, -1, -1, 816652816, 256614225, 674654108, 538710215, 530613051, 186752098, -1, -1, 709335144, 337578023, 580673777, -1, -1, 368715271, 609295757, -1, -1, -1, 863274657, 772649188, 641803894, -1, -1, 21778516, -1, 152815744, 550349745, 478367691, 496513783, 685899601, 441620801, 840834498, 181867523, -1, 797471840, 394775575, 53253376, 246079347, 419135451, 925425649, -1, -1, 915681202, 683159034, 480746571, 576670094, -1, -1, 551619623, 671149518, -1, -1, 343984531, 392065762, 359653398, -1, 754181110, 774695464, 875187046, 285214718, 60425427, -1, 507443553, 347491736, 420938853, 198417005, 229752631, -1, -1, -1, 56417694, 796805922, 281397931, -1, 240187044, 128123951, 397129559, 966833035, -1, -1, 865181205, 912866178, -1, 555040039, 958891330, 428549647, -1, 940848086, -1, -1, -1, 608764964, 565493733, 332525468, 984874043, 437841242, 864675774, -1, 29378665, -1, 541944649, 733725387, 381856255, 519617536, 924716403, -1, -1, -1, -1, 882518660, 386451136, 657108386, 45743751, 793419306, 343465892, 967103788, -1, 819702247, -1, 189425714, 62596694, -1, 71131688, 272114228, 461681380, 124120824, 229454627, -1, 231358527, -1, 488040622, -1, -1, 31833569, 787674813, 131759837, 101597373, 852539293, -1, 640978674, 800802245, 807610144, -1, 853613373, -1, -1, 230534684, -1, 107270726, 927746886, 981988091, 476012855, -1, 154240994, 121034081, 372363981, -1, 364224931, 62885170, -1, 56141308, 898304925, 407678421, 710441788, 751960296, -1, -1, 607467192, -1, 524371156, 393362985, 746994692, -1, 652852623, -1, 494034891, 261744266, 952250739, 694183561, 801856236, 228040924, 710254839, 566240251, -1, 483624144, 721591878, -1, 947066379, 770336162, -1, -1, 380445873, 391398315, -1, -1, 221244018, 961675198, -1, -1, 620032586, 445085022, -1, 238348055, 952887655, -1, 830030209, 946113044, 905633856, 72176149, 74280487, 863994249, -1, -1, 287119681, 453220507, 486420906, 307599646, 271973951, 869699059, 421492892, 159250938, 231504601, 837813096, 596778049, -1, 26576331, 949151201, 504328582, 132364745, 739985870, 764004555, -1, -1, 475674526, 732618527, 785307901, 544859167, 515453919, 163982714, 793494778, 106421455, 651645458, 152132143, -1, -1, 24715604, 537588675, -1, 204502569, -1, 813988704, 665196444, 94633156, 261712639, 202719921, 406829525, 289108167, 753160072, 471941801, -1, 973295385, -1, 466986897, -1, 111138878, 744266502, -1, 241185882, 920779833, 823185611, 926397841, -1, 736716917, 283509925, 643478913, 554340548, 653892127, -1, -1, 815491545, 537307010, 240591268, 114233148, 726061311, -1, 26655468, 362261428, -1, -1, -1, 406778963, 498436219, 323668450, -1, 597196259, 778968119, 775945989, 995211842, 42045969, -1, 106894093, -1, 886903788, 198574868, -1, 696498438, -1, 592774184, 136809434, -1, 317808517, 831969948, 137187430, 693802931, 79800103, 939171429, 446296861, 151947189, 848076033, 650017902, 412316345, -1, 440710418, 43829693, 530690705, 223655580, -1, 76225375, 897888936, 780657759, 231148791, 720611697, -1, 611781010, 434311781, -1, 197039840, 570473374, 310322553, 945883610, 738332960, 561478656, 191284979, 6340069, 742393541, 610321196, -1, -1, -1, -1, 621016992, 731672207, 310410640, 867190749, 126298383, -1, 873237688, -1, 622959149, -1, 378736514, 663255384, 536365729, 89243438, 669496604, 835936271, 916147528, 350055645, 315522217, -1, 57153295, 316814994, 325637786, 953569959, 316352293, 624766541, 456111721, -1, 606892973, 424177186, 780561784, 742659843, 136224067, 749567487, 163010722, -1, -1, -1, 375946441, 718687257, -1, 527189676, -1, 314940457, 909037418, 775449207, 45774302, -1, 558811795, 950594798, -1, 797659156, 417924849, -1, 160823222, 827557642, -1, -1, 515595532, 613538762, 594290638, 734364216, -1, 528121036, 688824907, 157670888, 828891012, 272450087, 5735612, -1, -1, -1, 91328962, 106745805, -1, -1, -1, 540995801, 901471032, 718085195, 740037721, 169804311, -1, 422333544, 12351598, 933365043, 331577251, 52079100, 171164967, -1, 650357117, -1, 408384838, 481777634, 561683442, 504378048, 820245506, 232225214, 834100833, -1, 939360503, 933477027, 439978661, -1, 862417595, 5888365, -1, 653700240, 855215718, 789606398, 809301455, 666575740, -1, 33177195, 151954687, 134427951, 468255589, -1, 748392093, 23686260, 60305751, 414509767, 432894797, 232985041, 444024450, 468540572, 391439695, 859314387, -1, -1, 713246553, 275903581, 114824161, 659396036, -1, -1, -1, 65220014, -1, -1, 937355977, 997755776, 208721099, 276408162, 496022692, 467604578, -1, 343923612, 301415255, 40250072, 136291603, -1, 471216898, 513591719, 96465642, 677419756, 296358422, 759194591, 865897852, -1, 917331920, 616141372, 907134235, 332899433, 625813322, 750106256, 987077245, 859145745, 529303306, -1, -1, 363801453, 72023691, 59869990, -1, 655630475, -1, -1, -1, 276539988, -1, 572368998, 595019105, 825017041, 26849649, -1, -1, -1, -1, 662221118, 536047188, 910629437, 431128654, 320288075, -1, 721625263, -1, 288481929, 754054491, 584764668, 563474182, 275074728, -1, 481624332, -1, 191423344, -1, 253830594, 697532771, 405713654, 317896836, -1, -1, -1, 929315498, 351895307, 1883014, 632594103, 670106608, 758990105, 386900469, -1, 482228788, -1, 678240705, -1, 937758477, -1, -1, 560376493, -1, 855214878, -1, -1, 390499806, -1, -1, 991101729, 117716399, 345377807, 158194278, 579614035, -1, 842675038, -1, 88743938, -1, 501104861, 16684619, 93250627, 968070701, 681369926, 545697792, -1, 476542184, -1, 944044549, 721994418, 962089936, 774534267, -1, -1, 79278688, -1, 358531452, 867355863, -1, 876037846, -1, -1, -1, 651889971, 843646229, 578212972, 162968210, 72983064, 672746492, 465750019, 789974134, 250067859, -1, 11730259, 910826617, 25228533, 645568163, 795283858, 975503306, 724880873, 953094283, 164302651, 147819779, 618271030, 5160898, 561176112, 583035605, -1, 133359779, -1, -1, 482968583, 446756930, -1, 366576276, 331729545, 141816632, 290013864, 432314039, 728676939, 952985189, 643891584, 262037455, 410456353, 947040434, 837104896, -1, 362056883, 722109263, 546452248, 491176385, 176950067, 704305126, 184464185, -1, 964874276, 333242034, 450070735, -1, -1, -1, -1, 247252048, 764538676, -1, 347351027, 734261605, 85850044, -1, -1, 858066870, 768528849, 366800666, -1, 672723577, -1, 352530285, 572858435, -1, 245200620, 993471426, 267228688, 569213253, -1, -1, -1, -1, 813198102, -1, 946378955, 372532248, -1, 807955477, 476481845, 26831475, 474556120, 9237088, 431616495, -1, 775661876, -1, 926614118, 630449979, 823449055, 633368932, 959759009, 470708813, 929362047, 259525863, -1, 109160163, 711251001, 214434832, 328653520, -1, 816623156, -1, 635107485, -1, 15251914, -1, -1, 968913126, -1, 244311962, -1, 230735730, 710821691, 791733498, -1, 635119598, 796244756, 487079234, 54493929, 92554220, -1, 194801098, 138092761, -1, 796112305, 469506599, 855329462, 12230124, 453335101, 748266241, 757563870, -1, -1, -1, -1, 672985927, 505786820, 259274388, -1, 794288630, -1, -1, 504406479, -1, 504793887, 627243998, -1, 386018963, 809896212, -1, -1, 729237722, -1, 775076804, 294211231, 324476042, 976924132, -1, 545263969, 109076922, 761154983, 935116752, 438794908, 868451165, -1, 249999786, 978213115, 335642642, -1, 28562703, 55223376, -1, 905475799, 629217427, 30875923, 856472237, 58557468, 146058430, 393496687, 981924886, 658349304, 954251450, -1, 397672063, 599477999, 392508537, -1, -1, 311489247, -1, 67181139, -1, 759567502, 588325762, -1, 499347290, -1, 804226997, 441834974, -1, -1, 972460024, 984742257, 859959498, 360812547, 609501478, -1, 725948613, 2774497, 402806124, 43809724, -1, 61387482, -1, -1, 148447187, 345838393, 157065367, 395351219, 942085975, -1, 713630059, 863185152, 204040356, 761411231, 38507194, 196757714, 132691402, 786301437, 154414909, 371256607, -1, -1, -1, -1, 270797477, -1, 949202461, 252836495, -1, 552274579, -1, 84584924, 155115612, -1, 795677800, 978056068, -1, 860363708, 173968466, -1, 465491075, 330321388, 943553695, 262593759, -1, -1, 623397226, 851499775, 283208545, 250824411, -1, 564865252, 444913943, 561576519, -1, 326801258, -1, 407305080, 360467262, 49043416, 28330119, 967560102, -1, 156306044, 485949865, 216406214, 353817126, 987056240, 948579619, 80255962, 94657211, 242265869, -1, -1, 577103381, 30134488, 710485340, -1, 199146071, -1, -1, 854602238, 692665411, -1, -1, -1, -1, -1, -1, -1, -1, 572288517, 927919674, 294258141, -1, 281615094, 587459773, -1, -1, 916776501, 243490621, 671791380, 232561793, 898708948, -1, 234454494, 117516613, 989676376, 203084682, -1, -1, 966035069, 425236315, 637459678, 15684048, 650766254, -1, -1, 542358490, 447707987, 772393763, 444332397, -1, -1, -1, 750048793, -1, 934557083, 629852479, 532556962, 648220253, 315881054, -1, 47671208, 159258271, 676507278, 250535444, -1, 216463943, 198023764, 451487771, 889995440, 835889492, 106881011, 452395808, 674049049, -1, 332102990, -1, 185394679, 297864014, 757145260, 713311498, 536906635, 771780667, 952464490, 528965588, 367839775, -1, 869376100, 313421995, 532921915, 773303982, 814069245, -1, -1, 443745237, -1, 537486603, 263544651, 496500699, 639113683, -1, 11579058, -1, 185217265, 803244448, 389501524, 266915370, 950389308, 234573749, -1, 948208076, 760288945, 15502647, 82076273, 991208575, 369761237, 618009226, 98976073, 434998995, 411317628, -1, 82886895, 524238150, -1, -1, -1, 691807002, 526429455, 639241428, 690594198, 373701580, -1, 333756982, 551613883, 821235673, 990603536, 134521466, 977112868, 632662067, 20601060, 516011829, -1, -1, 87523715, -1, -1, 771208858, -1, 965212769, 640314495, -1, -1, 926257547, 306852315, -1, 705383999, 282095608, 940653474, 645855666, 609709241, 450067972, -1, -1, 97479524, -1, 439114657, 625532939, -1, -1, -1, 461522319, -1, 784108277, 910556621, -1, -1, 935562877, -1, 707693388, 953944790, 509036496, 137826654, -1, -1, 105794140, -1, 42948060, 104575620, 651825912, 423540827, 121441010, 64044280, 678677366, 702732735, 20674016, 143760020, -1, -1, -1, 54171993, -1, 783375944, -1, 883414619, 181802106, 175113467, -1, 909780239, 5319378, -1, 137888853, 333083639, 626380120, 637969522, 320836683, -1, 437350561, 994641647, -1, 886253144, -1, 263725438, -1, -1, -1, 464837424, 535825058, 230731985, 898850161, -1, -1, 69492064, 395385578, 188923796, 835732294, 789402755, -1, 344457368, 738160294, 932562677, -1, 648427162, -1, 463301036, 708021327, -1, 330402189, -1, 411154647, 731223896, -1, -1, 728615911, 26052766, -1, -1, 427567853, -1, 420366424, -1, 739312468, 899525449, 322511611, 214664645, -1, 398824712, 958070556, -1, -1, 931162105, -1, 924063766, -1, 937274993, 447110209, 83349811, -1, 570860896, -1, -1, -1, -1, 788927917, 886555953, 580083916, 620567238, 683828822, 230747010, 641017964, 573590606, -1, 562349723, -1, -1, -1, 793505881, 578043995, 168012488, -1, 679047832, 531137319, 620495801, 841058790, -1, 811367260, 674832286, 647185796, -1, -1, 49314000, -1, 509821583, 747690955, 565143862, 499083962, 113657212, 751824664, 919206872, -1, 73531356, -1, 841548888, 125438621, 357634556, 740132509, 323936371, 985833303, 703928927, 648712109, -1, 985050183, -1, 485066958, 559456034, 862186724, 284677864, 470451526, 795849123, 410084927, 435461537, -1, 127670063, 532023665, 83131973, 855204886, 823814845, -1, 198107533, -1, 343655830, 688160623, 653525043, 90633871, 762556242, 304600525, 401364751, 584943917, 669105000, 789340952, -1, -1, 354743353, -1, -1, 592319973, 41934230, 767838242, 659046626, -1, 904933998, 515961333, 672891270, 801899191, 805508561, -1, -1, -1, 269313272, 975366651, -1, -1, 761464738, 246221849, -1, 166123890, 10153572, 773544290, 473846453, 596109056, 663682351, 862624169, 313720464, 630585601, 191868867, -1, 6820434, 505052945, 460181682, 865873772, 959596864, -1, 776177685, -1, 68457722, 852836559, 224309678, 619886340, 186856837, -1, 177555180, 510365918, 263206306, 787931732, -1, 677733646, -1, 452572975, -1, -1, 986040796, -1, -1, -1, 449995278, 736329847, -1, -1, 367582253, -1, 850228282, 557469734, 385261587, -1, 596349818, 200803065, 942763902, -1, 338209167, 838604905, -1, -1, -1, 676370581, 31663637, 287708211, 722195705, -1, 333798448, -1, 920697302, 697961166, 931588318, 580845528, 725420377, 249670921, 926589460, 568607924, 427701034, 267555621, -1, 158371793, -1, 692596716, -1, 319726810, -1, -1, 118291204, -1, 233991157, -1, 417065574, 702929150, 73921161, 486140946, 353947072, 156245333, 246301306, 304979372, 48276061, 564254450, -1, 768274316, 886452188, 540934868, 5994785, 506920219, 545286585, 159382633, 220027261, -1, 310392451, -1, 395514613, 152471713, 570200268, 572014601, -1, 843791120, -1, 690165904, 998214030, 992315670, 8767801, 307616646, 930173182, 655315005, 757688070, 938331440, 349438055, 411000454, 700061813, 120920255, 793735411, 707201488, 998391504, 402964089, 360065449, 276129836, 108438142, 625896879, 900330782, 416897431, 433548010, 707340321, -1, -1, 459067561, 147650204, 615902909, -1, 35381654, 539272847, -1, -1, -1, 454571582, 543342761, 190144259, 203999757, 200322447, 562216697, -1, 699085555, 860373141, -1, 670374610, 835921726, 588936933, -1, 758461664, 387540311, -1, 619880922, 100783043, 410024630, -1, -1, -1, 474463024, -1, 437933152, -1, -1, -1, 473484626, 851123434, 693363409, -1, 429440196, 195326481, 320507511, 965941551, 411745064, -1, 506449794, -1, -1, -1, 850927596, 736135561, 452080818, 328037314, 879698868, -1, 236291774, 678856375, -1, -1, 66116123, -1, -1, -1, 260127636, 742609942, 217414571, 588600781, 917756580, 182664390, 633334477, 967625808, 345150701, 557181918, 615162719, -1, 160176393, 681569187, -1, 917438497, -1, 922166780, 517570314, 956443236, 374387153, 733232945, -1, -1, 983551195, 55394103, 14982996, 856192419, 282587121, 43967096, 587994749, -1, -1, 851737547, 201194250, 633993790, -1, -1, 313499493, -1, -1, 220013830, 467429405, -1, -1, -1, 576839873, 894469767, -1, -1, 79692195, 132535007, 23183594, 23050630, 763127599, -1, 633144295, 54919333, 681889168, 409435090, 415856370, 32755688, -1, 199438360, 469235582, 194693458, 30446736, 540549068, 529955617, 19613055, 967252991, -1, 262596886, 381732556, 783293614, -1, 32500030, -1, 24567102, 204822836, 896714331, -1, -1, 215932360, 56663280, 266648242, 668148711, -1, 1906626, -1, 617713190, 173626672, -1, 322357359, 3548862, -1, -1, 920644536, -1, -1, 569269724, 738167985, 871094243, -1, 583732610, 717926690, 366931303, 753800030, 848068439, 663718514, 711147499, 55376916, 530982198, -1, -1, 250546255, 183865153, 10469089, 439225821, 685019747, 929029484, 950939225, -1, 889490000, -1, 747074517, 45975447, 26065683, -1, -1, -1, -1, 628389764, 527575687, 789134331, -1, 36647052, 521390300, -1, -1, 338882388, 376306929, 135841787, 140624055, -1, 276128859, -1, 760130915, 977797617, 897407413, -1, 924793448, 109904107, 51520484, -1, -1, -1, 590271133, 537938166, 394706081, 882143687, -1, 820054162, 31817820, 1950524, -1, 614289550, 350132829, 430025197, -1, 444450671, -1, 90207531, -1, -1, 608789440, -1, 788839508, 654816621, -1, -1, 194296518, 87821493, 969808394, -1, 430846504, -1, 388345407, -1, -1, 81003474, -1, 660148912, 612308407, 835472036, -1, 624402389, 974990587, -1, -1, 73513210, 464134193, -1, -1, -1, -1, -1, -1, 397930854, 17301686, -1, -1, 882133790, -1, 215315211, -1, -1, 537356416, 376707932, -1, 9854369, -1, 16354529, 845037553, 664695466, 624889199, 659468170, 608303500, 690114925, -1, -1, 515227696, -1, -1, 581539149, 978431292, 373940358, 614282892, 672125840, -1, 77046020, 647899066, 645302887, 544492026, 706098800, -1, -1, 384710176, 454234294, -1, 19224013, 794742695, -1, 355214045, 424510383, -1, 457437692, -1, 75950676, -1, 75052497, -1, 160683350, 403534054, 43295561, 651529473, -1, 472521830, 700827066, 199699590, 860803942, 872458469, 868243813, 649644537, 860414805, 729749543, 244447954, 206975768, -1, -1, -1, 291490549, 850587668, 226515883, -1, 215733552, -1, -1, 517651967, 29355622, 727002365, -1, 138815009, -1, -1, -1, 576035638, -1, -1, 631502726, 830367015, 830778038, -1, -1, 693570333, 466575444, -1, 144530845, 302641632, -1, -1, 152378871, 495073544, 871684065, -1, 923323211, 44825067, -1, -1, 490817229, 5360611, 695194021, -1, 940246516, 358517301, 413534050, -1, 591257156, 870926255, 195312762, 46384994, 759851209, 571363397, 878496629, 726302937, -1, 910459058, 659612622, 180155028, 451582694, 195214667, 168588910, -1, -1, -1, 854967927, 699018962, 772938072, 562068940, 629393783, 264631095, -1, 92789393, -1, 610070431, 556311977, 104878837, 753721921, 955535891, -1, -1, 141856532, -1, 587013671, 86193722, -1, 220413938, 27555653, 497604618, 646990247, 219402707, 569587040, 693002970, 622414933, -1, -1, 984366366, 980437492, 834846465, 681714452, 780399378, 906380707, -1, 228201532, -1, 335488729, -1, 529312179, -1, 392494181, 646850455, 770402905, 507644123, -1, 182794876, 932519180, 792196713, -1, -1, -1, 516331262, 915942484, -1, 486256857, -1, -1, -1, 282422710, 162538652, 58676540, 408957017, 865498269, 55361021, 7450973, -1, 642294234, 268371433, -1, 239768530, 585797348, 145911832, -1, 12494119, 680659679, -1, 801625383, -1, -1, 327490470, 33335397, -1, 761765465, 462088636, 40935453, 803026885, -1, 525042404, 772755233, 310874941, -1, 104597536, 996748399, -1, 79662932, 991006671, 772728011, 970626112, 581544566, 980824413, -1, 774505992, -1, -1, 572223895, 567529126, 385343937, 366845645, -1, -1, 850359620, 328952981, 213724765, 458535946, -1, 893526978, -1, -1, 276477672, -1, 135482529, -1, 312952394, 779734614, -1, 113934495, -1, -1, -1, 111583979, 523293837, 346412766, 586261818, -1, -1, 546972177, -1, 630120248, -1, -1, -1, 555747884, 976270951, 546392076, -1, 375802790, 800403092, 401713417, 210247304, 511624409, -1, -1, 479185992, 183514106, 982799263, 112751676, -1, 140134465, 956188262, 788928292, 144049205, 787490933, 449616678, 469339953, 982410555, 991485773, 27313283, -1, 662574149, 96437599, -1, 176389070, 278519776, 412577481, -1, 470891576, 739785654, 898123204, 364302508, 356241737, -1, 165438662, 85939406, -1, 29323022, 407040433, 38554455, -1, 398394332, -1, 739693642, -1, 389903069, -1, -1, 890067266, 726124076, 712990833, 589414005, 828084040, -1, 34999535, 970817613, 60941058, 322826454, 187655619, 697688835, -1, -1, 38909138, -1, 699859016, -1, 865577450, 860780970, 454508343, -1, -1, 223650592, 329928779, -1, 276182560, 470442694, 144680681, 409178953, 371400164, 104856673, -1, 873239319, -1, 823864210, 205417113, 972548982, -1, 894612438, 284130986, 49231946, -1, 407769480, 649595277, 100352907, -1, 189447454, 124122222, 538083376, 51358788, -1, 663137550, -1, 809193633, 945369486, 76781670, 364602706, 118921222, 639795793, -1, 92071144, 211458866, -1, 422168218, 953494592, 481459647, 51127593, -1, 578522452, 571559402, 126890210, 421092505, -1, 765305791, 545147792, 446827927, 718450063, -1, 13410216, -1, 99630512, -1, -1, 343100329, 410172315, 195844779, -1, -1, -1, -1, 768330057, -1, -1, 518539778, 115279788, -1, 815126173, 521028606, 371774843, 318398500, -1, 321491741, 852069595, 290704146, 169636624, 772124940, -1, 658150627, -1, 465902155, -1, 666879637, -1, 636868062, -1, -1, 930806327, -1, 240934134, 310159159, -1, 287146206, 77907775, 319254414, 391422339, -1, -1, 600622802, 455168265, 508512326, 110767864, 274073193, 456216784, 331573417, 436718147, -1, 677860885, 472137117, -1, -1, -1, 795178333, 243090819, 16243926, -1, -1, 69571549, -1, 924106878, 993341300, 729779059, -1, 111142911, 61994144, 342803611, 74619353, 240653587, 340797874, 269420146, -1, -1, -1, 436257216, -1, -1, 726350867, 146243331, 463596885, 594723141, -1, 610501516, 865268309, 66532052, 170905947, 387379212, 142560815, 98687825, -1, 250018526, 669310767, 213030036, -1, 967204433, -1, -1, 742698906, -1, 325080522, 187750195, 691781053, 126930422, 182618449, 339331822, -1, 773018273, -1, 978620332, 325857078, 67627093, -1, 922116939, -1, 311862103, -1, 349412413, 921615564, 659661048, 624909936, -1, 556349009, -1, 720335347, 319757896, 924575414, 863456098, 968305154, 473342332, 679346248, -1, -1, 46312494, -1, -1, 903808410, 315274143, 391587130, 925312065, 715150064, 459330595, 979125138, 875678044, 426504816, 894078276, 700555739, -1, 665190575, 751986305, 257524756, 346279340, -1, 463609525, 321302665, 228786256, -1, 861848890, 170818809, -1, -1, -1, -1, 413364672, 781551647, 471396373, 11255020, 136573867, 103192347, 159599865, 87504342, 792188932, 25262943, -1, 741942749, -1, 336644558, 695399897, 548339684, 981561766, 605969719, 214828641, -1, -1, -1, 285156006, -1, 439113138, 743424924, 545518738, 125267354, 561711911, 744017024, 415639057, 162512733, -1, 308018879, -1, 575354889, 407284015, 295134413, 605285771, 555955089, 369616617, 279524157, -1, 330257800, -1, 423303212, 311257776, 213028339, 516257809, -1, -1, 372753895, 512841037, 13571103, 790950346, -1, 698514854, -1, 918166173, 432806911, -1, -1, -1, -1, 786654408, 206185680, 939801085, 757648617, -1, 493574760, 835698943, 168932811, -1, 609838395, -1, 874408550, 20651887, 912733477, 459586276, 763388268, 416917063, 349056530, 802325920, -1, 26612769, 678248651, 275975497, -1, 56216895, 981793410, 517146520, -1, 125881628, 989024113, -1, 211857184, 885609233, -1, 657237307, 241739187, 992942592, 908346735, 127290581, 995033098, -1, 791262710, -1, 863139857, -1, -1, 486336600, 249415752, 764013220, 500954954, -1, -1, 810226646, 399807708, 930362781, -1, 343014084, 528827182, 783736187, 816059633, -1, 747932258, 813009175, 659665385, -1, 870723236, -1, 893692953, -1, -1, 49250760, 33000279, -1, 581618526, 292610130, 253567635, 982694701, -1, 41942216, -1, -1, 347762259, 19166220, 789915970, -1, 525828449, 275720194, -1, 483132170, -1, -1, 576083135, 463603894, 534152314, -1, 477084495, -1, 180928546, 683097781, 988638040, 870523671, -1, -1, -1, 247586071, -1, 653573874, 682241692, 521214799, 399140723, 877440271, -1, 718002433, -1, 857124838, 931353439, 343381036, -1, -1, 37635605, 538458010, 347264771, 926588452, -1, 271413394, 323847989, -1, 519607056, -1, 627469829, 953046141, -1, -1, 627948077, 595821841, 250871232, 326698879, 879942150, 937008043, 254082653, 189600, 1124094, -1, -1, -1, 871342456, 630617065, 364800993, 122986868, 250282967, 250679302, 195795706, 857750732, 119300136, 240811651, -1, -1, 844701396, -1, -1, 557672470, 399330444, 733439864, 500715416, -1, 917089717, 698841381, 826791184, 487127793, -1, 580152615, 337069617, 71967030, -1, 545902351, 893996937, 731979916, -1, -1, 731150178, 537804995, 913464892, 43253566, 592365202, -1, 892659936, -1, -1, 271169958, 467482619, 514988165, -1, -1, 350408228, -1, 176392579, 867052974, 538263300, 532163625, 183361928, 389601197, 662769169, 578370619, 278813337, -1, -1, -1, 859924265, 115017040, 672543998, 329639879, 358023588, 279018571, 479955273, 870885518, 3083132, 395658820, 436174616, -1, -1, 640086858, 421020483, 128721076, 612291892, 450705535, 139996710, 151418214, 300756999, -1, 567043085, 678014532, 657566083, 660979811, -1, 297763071, -1, -1, -1, -1, 671002893, 992726309, 623643536, 299204886, 927399419, 832295395, 203968394, -1, 969493240, -1, 686642102, 705669452, 300538503, 104291159, 704613412, -1, 152764693, -1, 973282666, 835045597, 766291878, 476300540, 704025142, 888671777, 228496796, 216856929, -1, -1, 857921899, 741335661, -1, -1, 334305507, 634374102, 857205130, 980599854, 733805978, 349108644, 564065916, 738454460, -1, 647924671, 132389776, 197962382, 891026795, 412975640, 30369891, -1, 219888249, 580214795, -1, 828006469, 633092964, 416021445, 478913163, -1, 522493820, 876276686, 517069397, 487719419, -1, -1, 127370193, 458917444, 288052992, 335257682, 807159224, 915875601, 555790927, -1, 434007426, 183597121, -1, -1, -1, 552751482, -1, 226705456, 799888122, 104557564, 671532994, 873184938, -1, -1, 452917866, 119983058, -1, 184033050, -1, 721067938, 543422392, -1, 310292712, 490369045, -1, 67083478, 573477140, -1, 162469257, 581088671, 513310381, 192822200, 6956443, 738077714, 130333781, 975103935, 88993868, -1, 460809808, -1, -1, 162081417, 49287738, -1, -1, 653941668, 715360571, 763639914, 118826076, 511195406, 422115735, 502645069, 826559280, 379701527, -1, 413890140, 212161484, 200652144, -1, 717347588, 524491666, -1, 228843130, 217393007, -1, -1, 812576681, 432497380, -1, 201603827, -1, 251759601, 38923583, -1, 842219252, 979473518, 375051296, -1, 951593972, 878829369, 116819725, 211175203, -1, 112070837, 846748543, -1, 488970745, 712613429, 88709712, 177481242, 925954680, 469799520, -1, 295202687, 52122019, 184977147, 729899114, 839663151, 109830380, 320966624, 941584919, 923624885, 571742022, -1, -1, 423594216, 879449763, 861304807, 719918579, -1, 961854497, -1, 411305502, 453229037, -1, 172048782, -1, 570475848, 725926734, 488186725, 442941028, 40844135, -1, 24587259, -1, -1, 706677210, 937132126, -1, 87015472, 342432619, 462905230, 793315974, 524699911, -1, 126297614, 335676286, 475054795, -1, 969637429, -1, -1, -1, 535269989, 700399617, 411157842, 506875315, 567363698, -1, 844810284, 781590428, 990570333, 590759308, 681697880, 192545981, 127545788, -1, 890904618, 327468751, 460920016, 126955943, 119024210, -1, 328277161, -1, 286080072, 348099489, 608757769, 195293279, -1, 814799777, 245027247, 215142633, 843920397, -1, 729687443, -1, -1, 722608331, 385767006, -1, -1, 140722220, -1, 608110564, -1, 40736821, 998353561, 925266421, 193513102, 3602449, -1, -1, 800609527, -1, 268082698, -1, 113927478, 144065364, 600820577, 905317082, 579150250, 678325525, 174454193, 670602776, -1, 509367648, -1, 516812583, -1, 246061838, 750767256, 739842781, 625193035, 393270060, 289675711, 636647641, -1, -1, 129623192, -1, 90559350, 306525843, 598142099, -1, -1, -1, 188413264, 189060818, -1, 918372259, 475838814, 335509021, 352268738, 198212625, 491855134, -1, -1, 585481973, 79074689, 666861038, 967413723, 78906696, -1, -1, 309630299, 706024927, -1, 593911694, 625160451, 291454470, 330053447, 352215420, 808243396, 772268418, -1, -1, 104849750, -1, 880158342, 108560924, 263753244, -1, 513831618, 729562005, -1, 142348965, 115220412, 837601895, 618268500, -1, -1, 453227654, -1, 798300652, 903357289, 117995616, 968676, -1, -1, -1, 857901657, 207698117, 18862434, 9647809, 87151976, 843578605, -1, 381327680, 40006081, -1, 478610329, 565355893, 200483362, -1, 381254813, 343682878, 625450568, -1, 824854098, 198187270, 182934449, 513471152, 684248343, 197479224, -1, 203352346, -1, 535502758, 507690475, 534613620, 54892539, -1, 185180679, 279707767, 746671012, -1, 182785307, 150340071, -1, 632930328, 55622446, 305344297, 281972089, -1, -1, 705168024, 148225325, 904789106, 692752238, 721502209, -1, 707233261, -1, -1, -1, 389399920, 380212477, -1, -1, 921501359, -1, 59751138, 831333075, 629738022, 824861913, -1, -1, 346317530, 228852133, 970605127, 566041668, -1, 558304232, -1, 341468651, -1, 312827250, 686682607, 808226734, -1, 476379045, 155195695, 688643086, -1, -1, 116559628, -1, 291691482, 644901210, -1, 181391371, 351152610, 366462616, -1, -1, -1, 572025064, 524368055, 289042818, 306847541, 327746892, 696125211, -1, 948733182, 290678798, -1, 303950991, -1, -1, -1, 717805447, -1, 919515753, -1, 349055617, -1, 172908371, -1, -1, -1, -1, -1, 142554066, 300356941, 212345044, -1, 594874359, 556069526, 765389254, 901999245, -1, 582971226, 920848771, -1, -1, 730962415, -1, -1, -1, -1, 985485178, 23440718, 758213240, -1, 515585783, -1, 620150650, 600123359, 16487423, -1, 321422731, -1, 929031635, 16455806, 983046537, 519458253, -1, 168599162, -1, 270669379, 165184476, 939691226, 16091689, 205849529, -1, -1, 148211658, -1, -1, -1, 517365809, -1, 150556778, -1, -1, 408864453, -1, -1, 556208801, 216463887, 176044996, 610974287, 513952428, 365548827, 938769573, 181647022, 301147397, 809032716, -1, 887159345, -1, 607293660, 795285, -1, 781387830, 602365379, 663681405, -1, 802644908, 924842469, -1, 41440155, 958764662, 864152610, 958091165, 721475672, -1, 639721492, 325519092, 861604118, 983306823, 833426783, 876056548, 916658217, 936673355, 732237514, -1, 615100969, 63982396, 823792304, -1, 739483441, 344511331, 676899315, 731238149, 801890811, 438662285, -1, -1, 988554471, 449668068, 585263344, 379348309, -1, 661995573, 992329022, 925955103, 187348962, -1, -1, 431434160, -1, 760086316, 375872458, 732639860, -1, 608623087, 922981723, -1, 387417624, -1, -1, 636912889, 767313010, -1, 266170598, 681853445, -1, 270638141, 947415188, 177025036, -1, -1, 375752336, -1, -1, 260111707, 111303809, 732767535, 426721096, -1, -1, 614612427, 150103411, -1, 501154926, 683926276, -1, 575877418, -1, 959605085, -1, 455985096, 362702593, 903996017, -1, -1, 493895229, 574612642, 742763335, 267040043, 403983556, 990046444, -1, 725258163, -1, 443570396, -1, 961502618, 112644881, 653878727, 919062377, -1, -1, 818735061, 403759554, 500246416, 595465505, -1, -1, 763053057, 603499338, 816352386, -1, 125487472, 119845994, -1, 533286489, -1, 358702781, -1, -1, 361738646, 846381869, 985026703, -1, -1, 26920053, 330259206, -1, 258527467, 251080392, 899873447, 819314406, 977495937, 72791894, 400647868, -1, -1, -1, 529209285, 280009221, -1, -1, 176415487, 796798004, 130197335, -1, 564423938, 594325300, -1, 244615227, 397477524, 735005368, -1, 69893900, 582478594, 796403450, -1, 97336686, -1, 277663500, 860078567, 916319230, 215062823, 36401870, -1, -1, 340190961, 196304970, 744756586, 250863342, -1, 181237522, -1, 928663127, -1, 615551784, 985281258, -1, 426130386, 507587092, 337126322, -1, 576752814, -1, 123540097, 941825925, 246739950, 874982696, 744167314, 500613041, 240458178, -1, 863496538, 489161692, 759444300, -1, 84500969, 124665744, 473066110, 20545778, -1, -1, -1, -1, -1, 586347189, -1, 222221311, -1, -1, 782978657, 158185512, -1, 977896518, 381777951, -1, 561952378, -1, 814705468, 111593658, 514649560, 663063635, 114432366, 974237556, 538266866, -1, -1, 658566809, 672045602, -1, -1, -1, 855598016, 825353954, 991429693, 370626378, 141382569, 401485259, 465317034, 590056137, 718265226, 648640197, 834064197, 248100117, 52596815, -1, 377114578, 192400404, 941559440, -1, -1, 143776072, 107328447, -1, -1, 340207771, 538788380, -1, 198874482, 82952161, 630403263, 89290337, 181517194, -1, 688394858, 510047989, -1, 301095176, 18448669, 900932834, 459665111, 998989417, 168095065, 446960950, -1, 918816824, 343168751, 919490934, 204785128, 946379274, 815668963, -1, 932035139, 619520617, 458193963, -1, 348555977, -1, 156960149, 665878382, 808368745, 865627828, 646030647, 412395192, 280982690, 316687856, 105102931, 83718826, 154954625, -1, 505444990, -1, 464271139, 621768333, 2310968, -1, -1, 308877327, -1, 785845688, 364941588, 967241599, 253347429, 613355277, 452256590, 561538137, -1, 671601451, 633724874, 506474707, 28895640, -1, 279007134, 701262113, 807760512, 981110156, 355740995, -1, 46684293, 246601073, 932622764, 56072505, 700010029, 481513238, 470262317, 655943899, -1, 783234847, 94906918, 712421319, -1, -1, -1, 589594340, 47511713, 447198356, 158606580, -1, 191552032, 649732779, -1, 333826245, 510612706, -1, 257705696, 695801896, 927011767, -1, 465894196, 777156747, 898423948, 375332728, 359145072, 194090899, 558148421, 862659402, -1, 773089245, 544904771, -1, 320796678, -1, -1, 874150458, 307983452, -1, -1, 573228877, 351660077, 454791517, 449494934, 507078798, 273141568, -1, 660762970, -1, 194090784, -1, 408155279, 139352506, -1, 165124695, -1, 196953164, -1, 755105287, 251556605, -1, 254862451, 536454573, 856795496, 353544807, 133639979, 673694009, 571988211, -1, 109214709, -1, 603433161, 678936805, 616428153, 416784881, 851289759, 171890631, -1, 402224789, 925242961, 852956024, -1, 509120639, 181843988, 90012568, -1, 384260451, 67904251, 197137454, 281215778, 841215479, 671388761, -1, 23700929, 780750910, 432987363, 423365899, 372557834, 936068249, -1, 963089713, 457277657, 252529799, 378487505, 626091788, 710104660, 213476106, 895500446, 595214845, 950388751, 777444717, 693718371, -1, -1, -1, 528853816, -1, 647982517, 579038061, 766494838, 604259624, -1, -1, 156250152, 629469324, 749967984, 486697565, 578098292, 419494524, 402149710, -1, 64266191, 733304829, 619466856, 792194679, 631602268, -1, -1, -1, 554107673, -1, -1, 41752556, -1, 287869715, -1, 579854826, -1, -1, 495803295, -1, -1, -1, 710856621, -1, -1, 47758304, 650385951, 758992435, 700469406, 112699195, 722451951, 174664434, -1, -1, 313972531, 182572550, 240222478, 922315992, -1, -1, 860740628, 432629687, 36663865, -1, -1, -1, -1, 387899412, -1, 444941466, 181569760, 239773141, 94534428, 121473852, 905626744, -1, 534757920, 940894218, 328614723, 900688510, 162780355, 708578921, -1, 956413858, -1, 64744567, 25287184, 279186593, 876831456, 896689407, 931003636, 780171986, 363012516, -1, 613951744, 522987985, 905353449, 805537584, 536145886, 983564097, -1, 439688847, 153872086, 788777901, 528904354, 268015041, 609114200, 842421941, -1, 567184051, 731192010, -1, 985640823, 986691746, 740340292, 99162141, 6234348, 748907004, -1, 575786793, 76246177, 780954238, -1, 333673797, 239377997, 852159029, 809655088, 897946957, -1, 505458688, 168554751, 542867218, 429155400, 274670356, 263406254, -1, 627405092, -1, 775054212, -1, 844497102, -1, 92053729, -1, 233692797, -1, -1, 637111004, 509338424, -1, 59077531, -1, -1, 496974303, 404043024, 820638140, 308039013, 101478663, 365908023, 276915056, 259790248, 874817818, 375101743, 429630355, 650156425, -1, 698956263, 217366935, 878769552, -1, 849845736, -1, 129464549, 496921256, 398047361, 321478878, 442673408, -1, -1, 38106033, 379759354, -1, -1, 789297288, -1, 495934070, 378615847, 552229735, 774591031, 457366374, 833939919, 311359484, 120516191, -1, 662211164, 478314209, 359319716, 244513405, 704605798, 859456668, -1, 980025428, 780046409, 742004754, 54240396, 444277790, -1, -1, -1, 57843228, -1, 265754548, 363354184, 229117226, 949157187, 569883750, 669537788, -1, 700706039, 573683284, 457515672, 225182176, 382312691, 284385015, 430868353, 91540521, 102017460, 599732684, 829238701, -1, 903242329, -1, 949500963, 989103129, 338163068, 592627380, 993152152, 892536703, 517466570, 931879564, 925782908, 117601976, -1, 217136683, 413707605, 863650915, 9266801, -1, 590423584, -1, 15690702, 474416573, 997085757, 417833828, -1, -1, -1, 182279454, 864943163, -1, 696655182, 317391648, 908451453, 871196266, -1, 925858551, -1, 32246475, -1, 513974585, -1, 387083872, 150629614, 621018499, 489779848, 919826183, 431988531, 258906174, 434031275, 189841935, 380367658, -1, 13587216, 38298756, 861552163, -1, 317456843, -1, -1, -1, 176797237, 795392114, 56372820, -1, -1, -1, 886513523, -1, 366408509, 256993585, 284024862, -1, -1, -1, -1, -1, 774006490, 51865948, 81358644, 195538447, 893808125, 663392439, -1, 962574406, -1, 769801971, -1, 665545883, -1, -1, 704360087, 89545101, -1, -1, -1, 108897610, 715569338, -1, -1, -1, 843268204, -1, 380831996, 997181130, -1, 989145801, 903394718, 528842902, -1, 359774264, 816907843, -1, 314201195, 231726863, 942216455, -1, 314701191, -1, 216363311, 491693698, 293826796, 171101237, 450313830, 98044809, 31241258, 418829791, 725654883, 166721525, 38624071, 233022407, 357388897, 250388456, 576344501, 593776567, 435055875, -1, 67064994, 73550361, 588126239, -1, 517680126, 785334117, 961675563, 914986388, 979500381, 373707363, 563443637, 934099669, 800918536, 420548487, 707230917, 542702587, 46958550, 939213565, -1, 728451193, 521329407, 31960437, -1, 314719289, 776338612, 506339805, -1, -1, 240723659, -1, -1, 823339483, -1, 102392432, -1, 980940315, 931896231, 646689435, 489509506, 286051545, 830626495, 545244639, -1, 493423885, 315002184, 915308087, 3777804, -1, -1, -1, 621328158, 924050975, 985064735, 305156231, 927991808, 842598142, -1, -1, 631028310, 811901003, 476524896, 438261328, 136607405, 509435508, 622842076, 963817050, 6152604, 747089172, 287296763, -1, 26913951, 221785835, 178509125, -1, 792829332, -1, 151735573, 44493105, -1, 686901602, 209188816, 341356944, 705434369, 711145414, 344135699, 983069482, 863724472, 217507574, 394513430, -1, 991514243, -1, -1, -1, 883134923, 399137891, 342114828, 140963829, 379838852, 256032441, 709474729, 748233178, 855628540, 421175480, 986327267, 395226889, 101581927, 687464543, 339142637, 408419810, 749601108, 439358755, 138071783, 504518213, 699125815, 475810048, 349802411, 695706515, 190424473, 141061571, 199663763, 888690557, 881748067, 174305287, 535203738, 894917797, 185692245, -1, 341408655, 879568252, 950694988, -1, 423664531, 967071305, 706149960, 1910771, -1, 941039661, 75725193, 718282038, 366950635, 74062110, 473007919, 348724511, 892553273, 475814853, 763375660, 866717481, 953266348, -1, 443682864, 335951911, 47068114, 472707862, 732612278, 466382794, 942600195, 232273183, 785398074, 906162075, 912666616, -1, 664310517, 976092159, 681993238, -1, 973636937, 767290106, 585792087, 151702050, 194068094, 186405014, 382923869, 284509680, -1, -1, -1, 220447307, 806241335, -1, 876921802, -1, -1, 216817985, -1, -1, 308065061, 851037861, 130102221, -1, 330700219, 195894147, 27800404, -1, 726719249, 626274241, 440403367, 657100029, 210918209, -1, 599628445, 685878824, 197249197, 732901413, -1, 663051119, -1, -1, 472499841, 86171632, 170203719, -1, 718949073, 394255715, 649313892, 836383663, -1, 646899870, 640958002, 983250805, -1, 2701566, -1, -1, -1, 793223596, 652455485, -1, 234025801, 141022489, 410941048, 602216044, -1, 232045692, 198323768, 809542532, 444952492, 139516368, 663075433, -1, 373312282, 672789015, 892001963, -1, 221755095, 148403815, 827083447, 236004074, 593209668, 924241148, 286632181, -1, 941525527, 836013193, 232238787, -1, 820276625, 252436151, 936274976, -1, 860926475, 149348751, -1, 455046832, -1, 350775594, -1, 558454196, -1, 862676186, -1, 831056623, 21345441, 569416383, 429328283, 123012683, 418869550, -1, -1, -1, 868769091, -1, 306144274, 484122647, 518865459, 430795624, -1, 872151118, 619582389, 787839202, 72280535, 261137414, 619751285, 223769625, 133853521, -1, 54548749, 395983186, -1, 518208490, -1, -1, 673809012, 945071616, -1, 662361459, -1, 895550392, -1, 462722748, 864161174, -1, 103060088, 741335576, 471817670, 145029613, 843900857, -1, 534085010, 10450793, -1, -1, -1, 642698382, -1, -1, -1, -1, -1, 612091632, 22152831, 973879826, 792495171, 739757969, 637364546, 17417274, 10718200, 513530078, 368063741, 455987819, 959240325, 547074745, 68303364, -1, 649319368, 953026711, 164147123, -1, 835616822, 126565136, 805268931, -1, 619360429, 837362116, -1, 673333719, 963313654, -1, 404406803, 101897327, 337055687, 159978650, 884550595, -1, -1, 725968341, 281153231, 320130453, -1, -1, 26383309, 479036212, 864301877, 783402248, 986927538, -1, 732910236, -1, -1, 599505292, 556999251, 412717570, 258150792, 985757277, 660075259, 947721221, 278358479, 819416375, 668850274, -1, 479557180, 32489715, -1, -1, 212181587, 627122675, 94011831, 525884279, 74748174, 384626713, -1, 372105338, -1, 469367199, -1, -1, 517791595, -1, 970472138, 625992326, 386908849, 457913599, 97705405, -1, 10883086, -1, -1, 623222167, 151107690, 439850958, -1, -1, 436420992, -1, -1, 995820668, -1, 498378907, -1, 717773713, 949006561, -1, 932865008, 974967933, -1, 492504491, 378366209, -1, 324916449, 580876719, 208704859, 590331844, -1, 579152047, 339117603, 422062102, 296372087, 927596837, -1, 390722667, -1, -1, 63552910, -1, 556979157, -1, 953569869, 299385510, 466778626, 481183389, -1, 1191080, -1, -1, -1, 102277464, 509028755, 115963930, 673125346, 689034604, 275778322, 812846206, 458236902, 391931077, 214083957, 872822715, -1, -1, 740465865, 161514900, -1, 820311946, 889202075, 162234230, 11255125, 199883508, -1, 686950899, -1, -1, 24833455, 274743884, 69729990, -1, 885155486, 448355062, 224364452, 708068902, 258414881, 726024278, -1, -1, 791018830, 8752735, 308269842, 842163134, 914839270, 107995738, 757040205, 289278492, 910662811, 480472485, 811585887, 169679964, 523456725, -1, 932051819, 238993892, 533559713, -1, 542950375, 121683639, 254740231, -1, 759221060, -1, -1, 829786216, 688307787, 553508506, 702853802, 63595, 911902818, 921716784, 32635459, -1, -1, 800124253, 299835457, 498452012, 504810415, 928596374, 895846119, -1, 5084421, 67699780, 558723465, 983694211, 280337623, -1, 378550246, 652884550, 294213958, 199018991, 750047299, 605736375, 757742866, 526205, 499548425, -1, -1, 947854703, 639090981, 653982021, 779790813, -1, -1, -1, 861036185, 809470373, -1, 222748040, -1, 882160948, 133596229, -1, 391646451, -1, 522136341, -1, 903991757, 174522876, 811904355, 675366314, -1, -1, 7273017, 334813347, 349316871, 244975181, 56242685, -1, -1, -1, -1, 714757080, 201772804, -1, 319508917, 166427773, 567902939, 198729972, -1, 478256175, -1, 134384277, 524775163, 76056924, -1, 261690507, 879312557, -1, 281659215, 383744247, 380577197, 28008925, 521717681, -1, -1, -1, -1, 3213179, 889245955, 399063454, 966270310, -1, 331615769, 881140999, 179681967, 944863850, 257823304, 755854607, -1, 880278615, -1, -1, 380957643, -1, 775421806, 813745530, 743685073, 879045018, 170660393, -1, 452246145, -1, 202306617, 289649934, 292345269, -1, 103827322, 812175976, -1, -1, 946670891, 219527469, -1, 630306535, 684024881, -1, -1, 214149321, 187250776, 537831803, -1, 359703366, -1, -1, 397459106, -1, 84992769, 243611814, 466374814, 840291546, 817067451, 504592154, 952291281, 767022705, 945563203, -1, -1, 639634004, 63443882, -1, -1, 734344746, 12062677, 896812419, 410524951, 647435088, 44946808, -1, -1, -1, 246329625, 711445360, 678943154, -1, 443532008, 307788842, 128199329, 343495556, 555810611, -1, 586332140, 43622449, 195282186, -1, -1, -1, 551588492, -1, 924744336, 333141768, 601556780, 606454094, 756977779, 810568895, -1, 915233365, 462197875, -1, 59837075, -1, 325396747, 153124242, 800147575, 520077616, 368783692, 966003977, 78782850, 334866103, 946571971, -1, 325088960, -1, 541620246, -1, 421661696, -1, 904439880, 152978919, -1, -1, 899139034, 745003346, -1, -1, 700851992, 125818224, 749960143, -1, -1, 126459112, 898045701, -1, -1, 956328858, 676672027, 340952450, -1, 366662782, -1, 841294772, 884632965, 501868543, 150937962, -1, -1, -1, 207429817, -1, 991269099, -1, 657350276, 915194010, 420463000, 812251473, 496471763, -1, 726199738, 12919758, 995734382, -1, -1, 764241707, 904464174, -1, 860618352, 715088517, 163661548, 138928693, 532120063, 675596143, 220669158, 357997861, 528547928, 269085686, 81636394, 156862004, 398617698, 378817964, 3130242, -1, -1, 665371234, -1, -1, 759627907, 135504076, 131175312, 664596074, -1, -1, 480290477, -1, 557995266, 417311619, 872731627, 51338511, -1, -1, -1, 678342138, -1, -1, -1, 580368301, 769473431, 825772746, 631517261, 290790638, -1, -1, 282363333, 492055637, 903971984, 964967432, -1, 549275472, 79540841, 940995804, 58901402, 483618268, 619688347, -1, 45286029, 133504130, -1, 960843021, 998197079, 57730609, 375807818, 388566926, 155798213, -1, 909528374, 960976620, 751980443, 292461003, 273416956, 442718485, 306499620, 904404347, -1, 514825967, 631153967, 667416082, 419721146, -1, -1, 604951318, -1, -1, 28328557, 272867823, -1, 324920735, 256310112, -1, -1, -1, 735365077, -1, 134721149, 21035996, 959347017, -1, 722316144, -1, 364737592, 501917292, 202428659, -1, 430292995, -1, 164364260, -1, 492100949, 867626249, -1, 609402173, 29866383, 304383536, 147248148, 383126258, 423768043, 254693006, -1, 721996114, -1, 307954261, 806850286, 133117074, 156509394, 574921390, 550046603, 769453667, 909374187, 310751596, 221860492, 609960205, 48707960, 658073772, -1, 31072614, 277842972, 363435527, 205913041, 198110086, 254023325, 602747133, 85132713, 562154053, 387132804, -1, 719544725, 416867484, -1, 232924896, -1, 202338404, 310735225, 964122815, 778759023, -1, -1, 618049749, -1, 621190546, -1, 681126068, 269842897, 526488652, -1, 12453256, -1, 722094871, 439078638, 995278718, 302439033, -1, 288722574, 238979826, 291498914, 801749889, 110532261, 662796214, 754215907, 571627484, 400404343, -1, -1, 508668829, 474841235, 839930213, 675361106, 83632941, 486994267, -1, 860880723, -1, 189685219, -1, 738046747, 470112842, -1, 222820992, 119886406, 154378636, 939808653, 370096983, 379512678, 12515222, 878522268, 45821791, -1, -1, 687339532, 811697466, -1, -1, 140304775, 4707226, -1, 415810712, 754790623, 907377358, 627320814, -1, 639894360, 828986858, -1, 843173765, 335817440, 310543379, -1, 825782338, 796995331, 972398548, -1, 416497413, 755972265, 398825837, 100296172, 859867726, -1, 878157063, -1, 708813445, -1, 820211345, -1, -1, 433641912, -1, -1, 992918398, 632028217, -1, -1, -1, 669368985, 260851329, -1, 760386127, 431939992, 673502542, 641209274, 312585988, -1, -1, 163408078, -1, 80691093, 539471783, 868919292, 981290758, -1, 745325226, 698544367, -1, -1, 791064668, -1, 529211212, 99444459, 200538536, 162478341, 957414444, 533049671, -1, 101725150, 411289993, 766528192, 612171548, 899863180, -1, 602443623, -1, -1, 346386106, -1, 151304224, 676798605, 464137425, 776587964, 817464525, -1, -1, 487089592, 848384898, -1, 267742964, -1, 894250249, 693695484, 109394559, 273539068, -1, -1, 754165546, 416169479, 541335246, -1, 64171438, 610936708, -1, -1, 261161605, 273397525, -1, -1, 138512827, 23914437, 277939764, 350899112, -1, 277633438, -1, -1, 384362011, 32340936, 678420766, 929830220, -1, 914614597, 451111035, 386623263, -1, 479121922, 434153952, -1, -1, -1, 399039480, 833406426, -1, -1, 11237252, 395778328, 637797649, -1, -1, 136787002, 336578528, -1, 484661959, -1, 272276104, 604248917, 8809799, 722766917, 234843405, 932313923, 68878621, 525244811, 246829261, -1, 892953355, 14007235, 863802288, 670788782, -1, 863896881, 483346145, 622951907, -1, 563619445, 12935353, 965796276, -1, -1, -1, 880114016, 585845174, -1, 38992223, -1, 426728635, 380961219, 732929058, 216183013, 720092392, 999502406, 486675599, -1, 161510563, 451136409, 271155547, 249088071, 545035991, -1, 500027510, 278469727, -1, -1, 785206709, -1, -1, 656064316, -1, 566412534, 268897903, 739352594, -1, 301056421, 3399138, -1, 298550220, 496543901, 904154063, 413452589, -1, -1, 100988613, 189645375, -1, -1, 423860145, 12335009, 374248284, 560916837, -1, -1, 678688588, 470178556, 81675555, 234649560, 142361429, 731497758, 924059745, 220837310, -1, 622086021, -1, -1, 813064386, 45771480, 829899491, 617164299, 868634522, 128627535, 126191615, -1, -1, 811603229, -1, 605981444, 725987474, 909125141, 164089649, 923097493, 940912951, 654469793, 419498966, 904863157, -1, 6694469, 918989121, 642070534, -1, -1, -1, -1, 459939733, -1, -1, 487340461, -1, 601269615, 116167956, 154888230, -1, 869529920, 141465932, 159170080, -1, -1, 688263642, -1, 404426399, -1, 293179121, 931330095, 49086471, -1, 547454510, 133338711, -1, 203582543, 458945021, 747128414, 492479276, 285574585, 701709680, -1, 165232910, -1, 51732478, -1, 840742160, 95016870, 920365091, -1, 179213060, 814176912, 219743631, 679521011, 753320911, 54984859, 301656827, 823507467, 300990996, 418197346, 820549051, 884591834, 68040581, -1, -1, 831714105, 195079633, -1, 696167586, 967442812, 855445942, -1, 821031829, 576170937, 500157182, 89969556, -1, -1, -1, -1, 327851453, -1, 940440703, 608489903, 466270220, 132935161, 991330333, -1, -1, -1, 263047935, 952165128, 51913481, -1, 934995269, 132801309, 787593717, 731372755, 582064378, -1, 382306817, 113089980, -1, 36514120, 237485905, 575525113, 346743311, -1, 186033732, -1, 580753141, 235885120, -1, 189560013, -1, 821777494, 251802206, -1, 62698662, 588808198, 263339871, -1, 256744629, 736207077, 615257413, 559786306, 103085887, 957649688, 67607245, -1, 266193973, 464258226, 31644964, 62628746, 155967283, -1, 850117837, -1, 308001357, 380427959, -1, 411694687, 815678451, 587885522, 543724396, 586287604, -1, -1, -1, -1, 524607427, 459833804, 932527110, 16762249, 848685301, 667209155, 136029558, 390471248, 912018853, 777884706, 98295126, 632775973, -1, 676465010, -1, 1268948, -1, 898921803, 259278529, 164383703, -1, 639027184, 183820878, 431283115, 676973098, -1, -1, 244885681, 813102165, 751832263, -1, 802221302, -1, 831830797, 201884733, 400350710, -1, 339235605, -1, -1, 156701044, 729327003, 183643089, 795946089, 360927604, -1, 50536902, 975060567, 566913882, -1, 347360051, 904388001, 13040809, -1, 621055930, 936540899, 721956902, 467665241, -1, 436522070, 369881499, 180211953, 190423565, -1, -1, -1, 993173088, 791791277, 772888948, 526506183, -1, -1, 703155879, 787502546, 691140491, 321829820, 904353719, -1, 431960082, -1, 39129825, 149529284, 309486942, 204946903, 966916873, -1, -1, 705113208, -1, 944328453, 259325894, 727354878, 674259722, -1, 383040003, 945998571, -1, 21150806, -1, -1, -1, -1, -1, -1, 353284020, 699754941, -1, 165738653, -1, 597740398, -1, 560716012, 469411813, 195806310, 516253325, 91329586, -1, 893030179, -1, -1, 122245984, 402371622, 897189897, -1, -1, 46379140, 899481494, 32854777, -1, -1, -1, -1, 456009540, -1, -1, 137094094, 750816802, 844026104, 862067182, -1, -1, 144020078, 859240346, 18800238, 136476577, 682084912, 123763149, 528632523, 79261485, 191138891, 647015810, -1, -1, -1, -1, 701679959, -1, -1, 227836650, -1, 828279998, 185532662, 609079688, 525664416, 249460308, 847798613, 319164632, 467428377, 68468531, 720848677, -1, 938055729, 911941059, 516251193, 336091469, 232686674, 559047098, 32446126, -1, 27549185, 985888606, 699949757, 637817740, 492651174, 825759237, 487659188, -1, 579922850, 550573993, -1, 849156674, 910519389, -1, -1, 425288343, 660427153, -1, 675749685, 649456834, 758733817, 221750921, 939553101, 920399659, -1, -1, 389523577, 320974174, -1, -1, -1, 990051264, 116019547, 595855433, 646388430, 113768712, 312875068, -1, 871836467, -1, 770570849, 485555734, 824910812, -1, 367697887, 356524769, 243852297, -1, -1, 527644781, 940975493, 779714500, 563969087, 380056729, 287669523, 321731491, 46825086, 121713370, 498256314, -1, -1, 140917336, -1, -1, 912045888, 61553698, -1, -1, 369164176, 164516559, 847889326, -1, 986984365, 310157681, 674444542, 340839240, -1, -1, 152260419, 769413268, -1, 903426796, 536282984, -1, 921925325, -1, 736370501, 720042354, 214638388, 119097685, -1, 633961398, 619247490, 528324519, -1, -1, -1, 264769671, 663081384, -1, 263918892, 849465346, 585333654, 625549333, 516436958, 929510676, 628680582, -1, -1, 986560197, 903774194, -1, 845196799, 231379326, 401688257, 265705258, 386447715, 411644520, -1, -1, -1, -1, -1, 597867759, -1, 99729688, 559169351, 954035308, -1, 920985301, -1, 610640732, 753315047, -1, 644854821, 551536099, -1, 631895602, 120827697, 747377138, -1, -1, -1, 611295550, -1, 498139706, 576605833, 177449719, 135773623, 560872560, -1, 638663803, 927239474, -1, 890251694, 408954866, -1, 324602252, 376280082, -1, 823701039, -1, -1, 616234096, 389131114, -1, 503776455, 350148158, 4594008, -1, 896514527, 14003247, 879098282, 748036880, 626821212, 634476998, 371522719, 369074236, 2796566, 972262455, 570783993, 962572004, 506630837, 401149695, 297175874, 630736275, -1, 481369128, -1, -1, 785712686, 869245253, 189397880, 88189350, 582133594, 500626411, 832534628, 303589731, -1, 721216000, 411560342, -1, 417056714, -1, 37586174, -1, 761440880, -1, -1, 585095077, -1, 271512659, 816834981, -1, 631266823, -1, 276780661, 436415629, 937504395, 610017190, 169539635, -1, 290797342, 401491951, -1, -1, 354330567, 99166207, -1, 731863159, 41593909, 999917005, -1, -1, 96006925, -1, 104145723, 653663697, -1, 57859208, 231430183, 130310577, 597967584, 943307852, -1, 342132338, -1, -1, 49930106, 214047522, -1, 881369309, -1, 353030018, 599625880, 239558046, -1, 837161298, -1, -1, -1, 881594686, -1, 321211590, -1, 597397629, 607875861, 470908598, 267508083, 147311220, 254057187, -1, 601328378, 427064218, 504861305, -1, -1, 966025715, 540117020, -1, 591406988, 958049662, -1, 244136397, 21210279, 478799572, 728004110, 712276832, -1, 823397963, 242046511, 65911752, 364341667, 37220058, 468707780, 159002555, 26126581, 427563528, 753007296, 714671634, 343661544, 268331942, 476405665, -1, 256789736, -1, 933551269, 585859114, 988421106, 491006178, -1, 937403318, 429435419, 745139175, 548383112, -1, 217398840, 757822160, 690864790, -1, 113363716, 667516015, 772331364, 634066254, 620280188, -1, 39089688, 272551689, 689384510, 342315255, -1, 604874831, -1, -1, 873921312, 290279214, 39939564, 14653472, 873062195, 114483443, -1, 10323287, 204924779, -1, 788560357, -1, 731580901, 391658073, 112660962, 807751565, -1, -1, 314873461, 872312425, 396204326, -1, -1, 513028301, -1, -1, 357514032, 853857766, 714701068, -1, -1, 697621458, 900227264, 897825109, 125429362, -1, 39236078, 496348997, -1, -1, -1, 347868514, -1, -1, -1, 859901658, -1, 571850971, -1, 91508010, 847519362, 93044075, -1, 681597785, 791542460, 366156, 656179706, -1, 241798131, -1, 94776828, 961357871, -1, 719685195, 515572958, -1, -1, -1, -1, -1, 389773207, 835784054, -1, -1, 516017471, 516174544, 238803564, 213586544, 65938046, 108225681, 702661880, 534667700, 404762326, -1, -1, 167987307, -1, 524117254, -1, 350858083, -1, 106514376, 506201527, 158260268, 688245776, -1, 580076619, 925386138, 238743836, -1, 35271149, -1, 427266212, -1, 39981351, 46199360, 497455241, 696194256, 120165644, -1, -1, 814623057, 523999579, 260368802, 799507944, -1, 211227009, -1, 106267235, -1, 732914051, 599720769, -1, -1, 816608454, 283877609, 908167118, 685195697, 955107648, 818321846, -1, 199571488, 296771459, 139146601, -1, 295244995, 531713539, 220699411, 448201138, 421806628, -1, 772509368, 98227380, 365446167, 916781804, 9321985, 821025970, -1, 985426850, -1, 516328831, 856652729, 297072484, 60218520, 990886581, -1, 862434001, 95108222, 159087064, 409221857, 71051838, -1, 137516187, 606887437, 870030160, 622267952, 55595581, 221803737, 680578003, -1, 268883144, 396807954, 35143271, 624904774, 577707482, 867024807, 850912492, 3579511, 330676211, -1, 304462525, 449264319, 101922951, 510049897, 245939500, 686955631, -1, -1, 248375062, -1, 262306040, -1, 931037580, 619898676, 923505463, -1, 412212464, 358520528, 330287176, -1, 886752279, 624211564, 596908448, 791573145, 453563502, -1, 754519082, 688558621, 17287675, -1, 554801134, 279192069, -1, 956373933, 508927003, 128194057, 533519373, 464705462, 454146714, 638249228, 463338807, -1, 394030415, 783796496, 781764348, 635121717, 798094833, 392098304, -1, 586603083, -1, -1, 807856750, 678031528, 367007700, 333191997, 760100067, 622327961, 410418198, 810003504, 707951142, 137664804, -1, 972021841, 223723708, -1, 773210044, 493320681, 540572790, 229562460, 810033408, 601750162, 110748097, -1, 58942557, 770445492, 689310889, 322928431, 958963889, 363740047, -1, 294171016, 595049602, 393987414, 579041940, 751272361, -1, 831866427, 718928811, 43850765, -1, 739736135, 57166583, 861642380, 857886265, 709382032, 946847050, 131928104, 429488863, -1, 792995414, -1, 379345601, 842142446, 509712640, 661840714, -1, 95210204, 827450065, 870455106, 347795619, 136990369, 99050639, 362341108, 892384089, -1, 209164949, -1, 520457432, 486015776, 864332584, -1, 306792135, 101461767, 261678439, 336878340, 446851796, -1, 428177422, 15065542, -1, 424889861, -1, 110894455, -1, -1, -1, 317745045, -1, 920771835, 283101112, 305144775, 936382469, -1, 909441858, 729323041, 763142388, 704275532, 100569966, 97267789, 205683470, 49485442, 42342078, -1, 121786162, 390079807, 285894578, -1, -1, 83570854, 859513618, 734466432, 805000939, -1, 568114222, 47278878, -1, 455085765, 32286805, 378506892, 400080906, 297229463, 493249461, -1, 154878200, 155335461, -1, -1, 589619414, 407063182, 489617607, 677318974, -1, -1, -1, 317970679, 617401425, 582491911, -1, 441840975, 877052053, 27300798, 636009506, 750158626, 674447430, 873132060, 67050169, -1, -1, -1, -1, 9945065, -1, -1, 856732248, 155450083, 462479188, 667888921, 40187616, 209405753, -1, -1, 301503942, 306030368, 351514393, 348946497, 257322450, -1, -1, -1, 966870054, 589944712, -1, 475601738, 967602875, 77629945, 120315820, 241408639, 669191934, 439993587, -1, -1, -1, 439635127, 140847638, 173716212, 667200395, 851861782, -1, 524933986, 26548511, 976805660, -1, 300426678, 828842755, -1, 283496224, -1, 602809754, -1, 360237135, 107838139, -1, -1, 126022090, -1, 126484908, 597584807, 856009718, 393947865, 298050401, 910517492, -1, -1, 305987479, 967749084, -1, 698965607, 393875304, 185341103, -1, 55736525, -1, 679786872, -1, -1, 800958917, 786934538, -1, 775603427, -1, 727369646, 262440427, -1, 116006278, -1, 528531769, -1, -1, 489574816, 507394025, 423021276, 309836930, 590817463, 447597458, 778167391, 526084393, 564770336, 940942171, 968262011, -1, -1, 38865220, -1, 706128265, 756486043, 186552003, -1, 398219932, 663480243, 76488713, -1, 542252097, 671444464, -1, 344258064, -1, 675626927, 588311510, -1, 55132949, 466809853, -1, 527846270, 269414698, -1, -1, 704534352, -1, 714417792, 771730149, 628207020, 526620444, 503901283, -1, 687736701, 949116467, 168066075, 843130340, 721087837, -1, 395402295, 453432362, 668929611, 395258495, 189437495, 900209942, 824239171, 539277123, 524249067, -1, 790964139, 637640499, -1, -1, 264606866, 52108150, 972281472, 662025371, 256033268, 789066897, 29589875, 892562892, -1, -1, 242585468, 799918344, 882685656, 639843309, 767585918, 191187812, 338405219, 121127874, 610983115, 881628089, 6742591, -1, -1, 529387680, 640643711, -1, 718344569, 701851186, 878079392, 152116401, 84520839, 810064005, -1, -1, 633843637, -1, 977900437, -1, 469865144, 105566789, -1, -1, 397138586, 223126323, -1, 484977215, 618409470, 660927836, 345106803, 187545139, 256795249, 589472419, -1, -1, 490604026, 874887733, 125040753, 128839292, -1, -1, 675028629, 93701916, 233114536, -1, 557797879, 122401349, 181562109, 958951285, -1, 966839064, -1, 282700026, 301009648, 610306619, -1, 629946052, 578849585, -1, 492044639, 462276631, 90288671, 324972643, 372818743, 661185263, -1, 618541329, 945131859, 819385771, 969436813, 22178981, -1, -1, 702671504, 925538126, 385257977, 797079672, 550633744, -1, -1, 161224385, 723390629, 382389954, 115366406, -1, 940040649, 493396506, 240884704, 376493189, 468872959, -1, 354206174, 767944942, -1, 283628329, -1, -1, -1, -1, -1, 49786177, 569143201, 436139953, -1, -1, 273374325, 780731981, 576995675, 877853448, -1, -1, -1, 58024936, -1, 712149581, 863723324, 744270010, 251588512, 379275265, 12177630, -1, 72598417, 81353880, -1, -1, -1, -1, 583868959, 302039393, 160756481, 561718633, 215047039, 551233565, -1, 842406870, 118639627, -1, 472553620, 994840721, 693803899, 377362703, 960577533, 177836693, 576656765, 792480998, -1, 642586626, -1, -1, 639310788, 950906079, 898344090, -1, -1, 250920440, 661410142, 991919868, 11345018, 171079485, -1, -1, 385094816, 384717299, -1, -1, -1, 684804689, 179801056, -1, 331706345, 598972578, 879274177, 412834783, 345135595, 854020182, -1, 861818251, 10511852, -1, -1, 112720454, 390817216, -1, -1, -1, 285906404, -1, -1, 902175788, 278505022, -1, -1, -1, 36393401, -1, 572010487, 825749955, 280952272, 689767078, -1, -1, 678492112, 413051930, -1, 950126204, 12768468, 509583065, -1, 892409781, 511213840, 209034742, 691036330, 474615, 129472940, 379880931, -1, 18328975, -1, 827049591, 429736039, 535962121, -1, -1, 224711923, 579407919, 270805788, 543141914, 828366823, 343603598, -1, -1, 498941600, 593076504, 45430179, 745986099, 225531897, 632748600, 819183980, 774365126, 507641100, 593838682, 943093319, 74893130, -1, 871414897, 136529249, 559125038, -1, 244942066, -1, -1, 811534230, 135018822, -1, 191832430, -1, -1, 825916943, -1, 571218114, 182976031, 961273690, 277795158, 554647099, -1, -1, 423465397, -1, -1, 598620426, -1, -1, 570738493, -1, -1, -1, -1, -1, 356464900, -1, 45131535, 369397610, 469655347, 840852645, -1, -1, -1, 110732266, 534398429, 462214445, 49341837, 851098280, -1, 341728709, 958634134, 894558947, -1, 184986416, -1, -1, -1, 584600350, 862317186, 226451246, -1, 875632780, 631474616, 74499357, -1, -1, -1, 55304731, -1, 501327485, 775075107, 215698135, -1, -1, -1, 531020605, 874124734, -1, 456424981, 242894040, -1, -1, -1, 247320096, -1, -1, 272757237, 288878235, -1, 18843930, 643864022, -1, 154159921, -1, 955917966, -1, -1, 836028272, -1, 995583559, 530839452, -1, 387734181, 659209160, 922215801, 540686064, 650462220, 567274229, 58836692, 566267017, -1, -1, -1, -1, 666140252, 641792670, 593681120, -1, 648055505, 986115380, 470979269, 428857119, -1, 794829243, 997869025, -1, 745267687, -1, 922811863, -1, 829419654, 521169746, 11830170, -1, 548148413, -1, 737046210, 736598335, -1, -1, 10909873, 340622527, 218318642, 142372033, 602939852, -1, 465776036, -1, 290377425, 966938690, 752420107, 811732054, -1, 332113041, 184923240, 105811170, -1, 518010055, 735675586, 248917814, 564386842, -1, 450222849, 779218780, 421659335, 684344891, 812814792, -1, 142889144, -1, 13893847, 566195223, 995381447, 77182958, -1, 562271941, -1, 740288518, -1, 61803786, -1, 501496590, 661598340, 976696231, 330714256, -1, 885814531, 218520809, 33181435, 612307415, 854406433, 632885437, 470609048, 708272703, -1, 891556328, 406920532, 883512313, 724549334, 756196604, -1, 617833855, -1, 643577810, 839074926, 314707403, 256782670, 446887358, -1, 615135337, 665997215, -1, 394032744, -1, -1, 504373189, -1, 867710850, -1, 590331633, 458805643, 362821666, -1, 50472269, 639126595, 665610801, 675736026, 52200124, 884492569, -1, 447649141, 116932725, 239989343, 751739454, -1, 775320272, 730956888, 145914072, 368248553, 289100471, -1, -1, -1, -1, 228292463, 330635856, 529910432, 484059957, -1, 901530502, 963483067, 763269877, 617094561, -1, 298095486, 834468563, 896860277, -1, 900966575, -1, -1, 850039201, 603709129, -1, -1, 118877101, 592221041, -1, -1, 10545442, -1, 741527477, 827943509, 232405163, 458013733, 502881918, 166401106, 892141550, -1, 716988918, -1, -1, 531862305, 111944053, 283233622, 540695046, 661579782, 81105120, 927724187, 922726949, 773375555, 292910677, 439651814, 438263585, 765762435, -1, -1, 129947440, 171673834, 956905120, -1, -1, -1, -1, 907005714, -1, -1, 987724455, 749878107, 500474812, 788119229, -1, 776716510, 784857316, -1, 258111587, -1, 692619449, 892186618, -1, 684851776, 310685806, 152206888, -1, 27393113, 324728619, -1, 308098774, 773871818, 783723761, 304205280, 456659438, 877031834, 280281700, 216441506, 318127959, 581493914, -1, -1, 896371974, -1, 813564996, 48764815, 358797187, 541826458, -1, 571972650, 693908678, -1, -1, 555500610, -1, 780576426, 518328159, 491343500, 550642242, 838821006, 23441060, 417192301, -1, 430224758, 964326105, 272453170, 332953057, 508663038, 583184376, 111561067, 779512177, 847433036, 558109423, 364400812, 277069672, -1, 383496524, -1, 713988574, 324771902, 219594953, 259833210, -1, -1, 511599469, 992901469, 482033663, -1, 720298498, 617127606, 55471693, 540091507, 972349239, 459492189, 273952344, 136477664, -1, 598057635, -1, 390342235, 147397485, -1, -1, 919498453, 864529737, 465266061, 973192741, 567123905, 626810984, 272547662, -1, -1, -1, 197877515, 325679993, 82030759, 207813563, -1, 947781710, 162648861, 826638612, -1, 254127351, 618146565, -1, 593861759, 426134007, 519029647, -1, 565144674, -1, 892066374, -1, 950896555, 351081370, 753473298, -1, 263035976, 193675347, 626016180, 972473118, -1, 673791541, 13806392, 506163756, 324246522, -1, 279797857, -1, -1, -1, -1, 69392715, 859245683, 332801524, 590001895, 607257620, -1, -1, 805193463, 52138046, 505562130, -1, -1, -1, -1, 870046167, -1, 257300556, 537004074, -1, -1, 570561329, 642051452, 395280780, 794676338, 576625042, -1, -1, 563749370, 252272043, 357168999, -1, 394342268, -1, -1, 605005879, -1, -1, 21612427, -1, -1, 557858429, 99281406, 518974974, -1, -1, 378463606, 349296290, 969973650, 501429322, 19889555, 1243678, 639677760, 272964606, 825245098, 719608944, -1, 224513472, 432300080, 718861463, 345108895, 43430586, -1, 125310724, -1, 166108968, 138572091, -1, -1, 681112649, 193874515, -1, 313671080, 27983869, 104852132, 625244959, 11258418, -1, -1, 14432257, 682147619, 222769669, -1, 575912258, 154755003, 561242167, 250370062, 723985789, 636868620, 853448114, 201464722, 384001798, 418346288, 154688170, 609716144, 290986486, 107475365, 254042146, -1, 98282940, 789130511, 79213058, 608856496, 416345824, 52483132, 943430319, 729685784, 816389176, -1, 942291863, -1, -1, -1, 242087570, 292939320, -1, 150226565, 671549542, 507642879, -1, 468256944, 517186169, -1, 726337131, -1, -1, 492386807, -1, 787267071, -1, 849259820, 391323678, 880480315, -1, -1, -1, 260869595, 908855582, 788756760, -1, -1, 210868235, 149234664, 418893644, 640450282, 156884786, -1, 691580279, 536742593, 975443504, 281074050, 443428534, 539316763, -1, 534018949, 526629270, -1, 334861643, 150496734, 44925634, -1, -1, 194195882, 292664299, 497735165, 461752376, 525021402, 146987399, 121951401, -1, 606372608, -1, 721389256, 36431322, 158427045, 972382580, 550203913, 722094928, 761687017, -1, 708950621, -1, 232667108, -1, 17238057, 262017608, 217394765, 353829733, -1, 834887682, 450692780, 637342580, 233236747, -1, 193121793, 13927517, -1, -1, 723686161, 18701391, 304579004, -1, 550010968, 617120062, -1, 188399380, -1, 174948849, 349773036, 655653385, 77361520, 747381769, -1, -1, 370024371, -1, -1, 167475934, 63655725, 36870173, 970664030, 985669313, 481586568, -1, 811192369, -1, 648509200, 928071425, -1, 324845418, -1, 490960678, 67499450, 941861988, -1, 54168436, 801250527, -1, -1, 433329357, -1, 641801424, -1, 230583896, 646167379, -1, 346182750, -1, -1, -1, 831843742, 28749864, 12755330, 786288027, 989871125, 581939606, 598058029, 203722966, 206228068, 599221636, 637071767, 197052741, 488998881, 255280212, 354210160, 499250908, 254460867, 346546359, -1, 63425657, -1, 808816495, -1, -1, -1, 602189881, 498944349, 643179325, 595433537, 76655372, 355430973, 649877539, 164782191, 625483872, 921951512, 356161357, 302927273, -1, -1, -1, -1, 878146515, 406544298, -1, 999398623, 564243686, -1, 190255161, 541249726, 499398944, 949376910, 690951414, 974641078, 938450751, 401725649, 136781063, -1, 871682888, -1, -1, 276812947, 441561767, 536604145, 692335361, 686693270, 18523477, 292710663, 809234763, 883690559, 325718277, 35247145, 372126183, 24236077, 89522114, 245309164, 681226371, 204768629, 601106211, 464011325, 429711478, 56776016, 601098716, 350975798, 991216734, -1, -1, 92517673, 465381116, 59969627, 431303170, 956523230, 897135205, 429046137, 946525300, 657163821, -1, 955637665, -1, 454924775, 575159472, -1, 925001291, 767331902, -1, 492591812, 465152798, 118856440, -1, -1, -1, -1, -1, 226128739, -1, 157708937, 388041159, -1, 106530365, 882644021, 111663415, -1, -1, -1, 834071902, 489452082, -1, -1, -1, 705912606, -1, -1, 451106808, 726260447, -1, -1, 375666379, -1, 929856983, -1, -1, 654437586, 508254143, 705835334, 592276706, -1, 553769481, 409691231, 611866338, 519138345, 170064116, 569643424, -1, 147074296, 576244216, 104750957, 427277061, -1, 943811941, 270831298, -1, 776976827, 802784564, 404578159, 793543711, 569630436, 355523556, 579825866, 515602344, 281991367, 635846989, 479414227, -1, 13054321, 141242527, 386213547, 180656482, 478414610, 896056535, 122753849, 551178940, -1, 632023464, -1, 273881017, 449279533, -1, 685483048, -1, -1, 268238408, -1, 70901195, -1, 387873722, 995097854, -1, -1, 558942699, -1, 944616391, 829960580, 324453187, 175591889, 48229016, 339048046, -1, -1, 288315955, -1, 939083333, -1, 538971528, 778907651, 248717564, 421133253, 917689802, -1, 213555176, -1, -1, 992070712, 229692439, 574352667, -1, 553819530, 619786136, 786734973, -1, 180800306, -1, 60603914, 708940061, -1, 27785330, 660997427, -1, 268063237, 892807512, 590080411, 240996563, 196537500, 503350628, 328387972, 238932004, 465699685, 142398351, -1, 332793688, 538714328, -1, 687302624, 106316110, 199657128, 119692912, -1, 954382027, 371720367, 796245185, -1, -1, -1, 619071086, 2607298, 38202819, -1, 768749786, -1, -1, 712602987, 836203709, -1, -1, 477439160, -1, 762748590, 862844595, -1, 997015940, -1, 550018180, 216176330, 482631626, 219691805, 127276067, 870215112, 19360107, 817361595, 440169074, -1, 657515072, -1, 147093922, -1, 597755660, 186198742, 947607578, 395819488, 478144735, -1, -1, 68189201, 864383145, 830389759, 846129926, 179896009, 859936737, -1, -1, -1, 451681599, 570512200, 850483043, 945614347, -1, 285069070, -1, 277316807, 622578532, 269037195, 561082746, 353388662, 372437503, 509777418, 377521184, -1, 241705374, 621663504, -1, 585751024, 374369159, -1, 169809972, 520295531, 120761442, 785214790, -1, 474641734, 734984176, -1, 376403734, 554436960, 385256588, -1, 462613111, 216741936, 325186253, -1, 927066806, 217547611, -1, 684525858, -1, 31090341, 591020783, 656384003, 388672226, 957320967, 327344167, 665367864, -1, 526003747, -1, 447458612, 663136812, -1, 569822077, -1, 515515518, -1, 967053943, -1, 125278375, 736070279, -1, -1, 602085253, -1, 865619354, 710921593, -1, 693830241, 313593949, 65019639, -1, -1, 408331027, 356292436, -1, 467913282, 985501748, 620051370, 673389860, 535876596, 756822779, 684927353, 372020142, 682098299, 999106527, 167867894, -1, 540343405, 527731332, 603886210, 251773390, 58178521, 473388357, 120805478, 686592248, 632372709, -1, -1, 674772093, 704695810, 786355176, 154294164, 55118061, 524425465, 423052495, 984159458, 341894360, -1, -1, -1, 820435004, -1, -1, -1, 796810218, 785831662, 371714244, 652086956, 363694095, -1, -1, -1, 721740551, 821771036, 620810520, 925371693, 704420700, 548245126, 905023379, 47576364, 385895432, -1, 605168661, 634757649, 705156, 59875489, -1, -1, 299939921, -1, 383209548, 10970233, -1, -1, 559466232, 495143354, 804956446, -1, 740288009, -1, 855662862, 429633591, 714551953, -1, 340501348, -1, 323498065, 717627233, -1, 144287649, 106399539, 96150976, -1, -1, 601843458, 964336029, -1, -1, 307802254, 420691589, 908977478, 810686723, 295158252, 533559646, 484624228, 412762226, 397772065, 918832952, -1, 644821932, -1, 478122575, -1, 540694258, 84860531, 824859324, -1, -1, 12395612, 7517471, 715229098, 799370378, 610654635, 527373883, 368777245, 12600918, -1, 289404822, 894535682, 766706459, 803238060, -1, 880417769, 465364223, -1, 896237180, -1, 825314343, 21696266, 552876478, 429343303, -1, 754800903, 800949985, 900224280, 296589204, -1, 714213071, 133169544, -1, 513200218, 144198394, 503624843, 438934912, 381843140, 414421709, 421545513, 659448802, -1, 584978394, 611000050, 47198665, -1, 815728796, 63229873, 49551816, -1, 78899791, -1, -1, 661774241, -1, 654927955, -1, 620386503, 66427592, -1, -1, -1, 235702265, -1, 442779979, -1, -1, 489954351, 368683408, 843649247, 107534026, 188633845, -1, 140459660, 498720456, -1, 587907114, 975241914, -1, 552477128, 227554990, 494686935, -1, 153114152, 2291196, 559448112, -1, -1, -1, 947756163, -1, 829458701, 474688773, 142662429, -1, 61397173, 998205831, 167177341, 561924218, 714428917, 95805347, -1, 365478025, -1, 184544702, -1, 229638732, 679614031, 219383365, 760956481, -1, 345715254, 846387936, 566772733, -1, 802498689, 773349575, 444299169, 477554341, 231272239, 271362933, 589435625, 582796241, 571732015, 777663000, 324687652, -1, 261442891, 467232500, -1, -1, 735187586, 248642415, -1, 277518164, 159109889, 81686592, -1, 606232072, -1, 201251525, -1, 201659507, -1, -1, 750504941, 289056935, -1, 786065223, 239762093, 112488369, 699673236, -1, -1, 483287349, 684528970, -1, -1, -1, 68818503, 825132395, 948071372, -1, 589811893, 770019305, 86921773, 278711036, 384656985, 266247201, 757564681, 301516085, 960424306, 689533174, 189247702, 208409858, 686673899, -1, 393178966, -1, 412753168, 820201697, -1, 78247626, 820134690, -1, 1017705, 279459949, -1, 52511067, 191796315, 452914339, 526782596, 603157004, 244130579, 174773036, -1, 587457649, 740659916, -1, -1, -1, 914482949, 735834597, 184344716, 859812409, -1, 865886811, -1, -1, 338501006, -1, -1, 418407537, 892161801, 104348503, 115063458, 129626003, 758175171, 857678321, -1, 954789711, 674860688, 945625469, 474516678, -1, 499831310, -1, 308794239, 124643582, -1, -1, 72612411, -1, -1, 233945868, -1, 253220376, -1, 139014356, 373072322, -1, 736003245, -1, 644123850, 727954, -1, 996929601, -1, -1, 815325998, 984943436, 409417045, -1, 825189617, 143318919, 578999652, 373319538, 586320869, 504023287, -1, 69877398, -1, 511949753, 734184915, 196327709, 211308267, 706902776, 73405751, -1, 855856240, 480348494, -1, 383371624, -1, -1, 926982533, 201847622, 227301160, 573817807, 290212061, 983469829, 893743325, 472739467, 396658676, 976494280, 470291914, 313106068, 929577133, 255205434, 437348288, -1, -1, -1, -1, -1, 427211217, -1, 186188698, 671457307, -1, -1, 172885357, 867185860, -1, 429977338, 63564401, -1, 533435581, -1, 569315852, 345239767, 588780237, 597489089, 794180215, 748002760, 758443560, 568263292, 636917106, 290144585, 537904652, 853277515, 9980316, -1, 42587989, 155019341, 623747462, 997261874, 734494568, -1, -1, 786665718, 392958432, 301216031, 914586862, -1, -1, 391546384, -1, 63004389, -1, -1, 952427908, 91777739, 139685490, 909025778, -1, 797760936, 464718658, 249100462, 769515831, 485836959, -1, -1, 545935305, 449358616, 110951568, 114952245, 28942977, -1, -1, -1, 512496690, -1, -1, 995872296, 253510721, 280258273, 818312152, -1, -1, 527551037, 440016274, -1, 563589874, 280303232, 275427194, -1, -1, -1, -1, 746998240, -1, 939685542, -1, 362606829, -1, 308996119, 992933143, 694515501, 172813915, 1915948, 875380777, 736807577, -1, 142268138, 185042221, 146127497, -1, 262389121, -1, -1, 151220410, -1, 109703844, -1, -1, 610142026, 894441912, 68711000, 790664938, -1, 537336373, 330647609, 380176041, 514720730, 187222785, 50414337, 153558034, 45461489, 474330629, 164030805, 967146782, -1, -1, 571242044, -1, -1, 113994100, -1, 413345074, 299908175, 267251117, 79804730, 632074783, 29903193, 865513332, 324993773, -1, 886609775, -1, -1, 296700311, -1, 625479332, 191260879, -1, -1, 695359769, 821590689, 103897462, 851192588, 703875859, 575292136, 242547248, 260361038, 346718320, -1, 368520694, 371968104, 83907509, 205017515, 109081347, 422015642, 430426261, 913940960, -1, 171856276, -1, -1, 935714500, 480455494, 683057127, 450097011, 655462483, -1, 407661706, 223508824, -1, -1, 23259938, -1, 132787475, 244109173, 803612351, -1, -1, 134647698, 419441131, 760242866, 485124369, 499354715, -1, -1, 760583386, 678455002, 883111496, 454103252, 99888008, -1, 757930626, -1, -1, -1, 393060461, 229486997, -1, 728564496, -1, 556964432, -1, 148495173, 405250334, 671462997, 853024724, -1, -1, -1, 787254192, 456899000, 886214766, 361680366, 209267481, 772642700, 13082272, 980752285, 144581740, 85955696, -1, 316212915, 528129536, 557971579, -1, -1, 30350417, -1, 4784920, 630393067, -1, 229420706, -1, 408490356, 868124582, 860336443, -1, 163191963, 217104227, -1, 339114803, 382038434, 857152633, 469126401, 235418498, 87769497, 470460021, 471025986, 245198504, 172433160, 736429042, 171684203, 10995643, 331004250, -1, 16693000, -1, 775135814, 347906255, 705046357, 790511550, 826308634, 779457790, -1, -1, 282310655, 590401626, 341064155, 71146439, 343510852, -1, -1, 919221710, 987424759, 572776059, 608344650, -1, 106091953, 996309084, -1, 580707372, -1, 481255791, 904400952, -1, 272659716, 628139753, 523297204, 311082285, 844473255, 337762947, -1, -1, 829943162, 792129454, 969544272, 794878340, -1, -1, 955854445, 797339569, 530605639, -1, 279636752, 819637519, 964519407, 497045956, -1, -1, -1, 3149560, 291666354, -1, -1, 887373459, 989706856, 548997033, -1, 671285633, 692324395, 646267361, 512550607, -1, 460796133, 648958404, 369179986, -1, 285883788, 369836209, 641714490, 22759226, 510529212, 334702529, 443747998, 665321087, 764861344, 114704314, -1, -1, 421901076, -1, 434729628, 299914248, -1, -1, -1, 248377914, 741155028, 19730720, 614872566, 987699236, 548474018, -1, 794697561, 702365728, 289370271, 736659796, 238709374, -1, 659662407, 938341572, 280405650, 655684012, 426700999, 202040695, 358133003, 478455653, -1, 691594593, 357354360, 369443430, 381020446, -1, 225658575, 951226748, 432103612, 152294466, 680602889, 354624324, -1, 579599887, 838771968, 13072459, 910052477, -1, -1, -1, -1, -1, -1, 679274781, 162026931, -1, 895128709, 242999686, 707249032, 757210821, 729624060, -1, 86181752, 430996775, 370954916, 312526216, 148395625, 890807777, -1, 770840607, -1, 747544269, -1, 151533048, 357830397, 199793035, 230726650, 884755302, -1, -1, 345239288, -1, -1, -1, 437377304, 792006634, 844449539, 928178202, 268439349, -1, 350054023, 408548378, 969790385, -1, 868836412, -1, -1, -1, 545981057, 853662590, 651685719, -1, 261879591, 710608011, 17475516, -1, 753534893, -1, 844161575, -1, -1, 872617236, -1, 76496156, -1, 342939954, 609524972, -1, -1, 214289161, -1, 739225376, 959249384, 625116372, 122002731, -1, 846915867, -1, 928338225, 29400704, 490691063, -1, -1, 209912667, 544382100, 444505770, 795825224, 469403238, 972248916, -1, 863638441, -1, 705432211, 105489546, 507104638, 257883898, 816953695, -1, 807583451, 943842940, 664028447, -1, 22430944, 928197644, 847255222, 314845327, 511560193, -1, 102515471, -1, 698433106, -1, -1, 743704808, -1, 996562808, -1, 539804996, -1, 326822960, 673048495, 454413639, -1, 846102800, 102696466, 342344223, 627832083, -1, 755425304, -1, 146389547, 432384399, 770810807, -1, 362731123, 667646052, -1, 939365678, 33011386, 467000323, 821476480, 354985814, -1, -1, -1, 293278329, 493493912, 143398041, 5299568, 707526295, -1, 631824858, 110408614, -1, 346477569, -1, -1, -1, -1, 110190487, 734033685, -1, -1, 935686250, 90857652, 79939622, 762742252, -1, 173449924, -1, 496339245, -1, -1, 38360596, 446691803, 686870274, -1, 277336010, 251187449, 773676403, 433351892, -1, 58137697, -1, 644143527, 912852378, -1, 123067011, -1, 378836927, -1, 763738837, 243284500, 118717741, 650127690, 865163819, -1, 938411208, 243525227, -1, 694450632, 862367742, 219655633, 460439401, 333914694, -1, -1, 779781886, 229817210, 599867652, 338435728, 505352278, -1, -1, 16222254, -1, 438761845, 432433358, -1, -1, -1, -1, 391065208, -1, 982340996, 522811691, 690132608, 979061434, -1, 822936971, 858442677, -1, -1, 679975869, 562524140, 47510296, -1, 509856934, -1, 676086171, 705432999, 442762102, -1, 57401989, 793129647, -1, 202729094, 871462443, -1, 201520625, 280284264, 316047676, 939995625, -1, -1, -1, 30042745, 701704925, 965841540, -1, 294741872, 77759665, 951036052, 874745039, -1, 492205711, -1, -1, -1, -1, 338355441, 61934315, -1, 240224476, 4791012, -1, 535883611, 220033537, -1, 587160243, -1, -1, 946646897, 744077962, 177100810, 666733946, -1, 346383284, 451232996, 631931953, 643061886, -1, 928855639, 752934941, 214290984, 980587369, 380624394, 46962302, -1, 116249898, 366041013, 177430515, 608583962, 56133113, 527162518, 432696954, 929171723, -1, -1, 289875440, 377079894, 121412079, 690070146, 23944353, 33195363, -1, -1, -1, 641870153, 109918346, 988760418, 729632608, -1, 229178834, -1, -1, -1, 882378790, 36888140, -1, 167969352, 195522428, 149316845, -1, -1, -1, 148102657, 402024328, 41106021, 325843600, -1, -1, -1, -1, 666178537, 137795212, 697440822, 776829499, -1, 450729575, 294097957, -1, 237831604, 929984028, -1, 514742290, -1, 200791165, 647046558, -1, -1, 741321076, -1, -1, 588396790, -1, 517339033, 864171868, -1, 269901638, -1, 302858008, 574675211, 719483082, 177746576, 805160041, -1, 195680667, 757491717, -1, 340940357, 824192663, 104054590, 440629767, -1, -1, -1, 772302691, 702709306, 24172939, 146341414, 606110322, 305912457, 86759544, -1, 205887478, 779098191, -1, -1, 523987069, -1, -1, -1, -1, 162505341, 644487728, 184242202, -1, -1, -1, 324981984, 998937928, 171835912, 797024367, 908702223, 680359519, 67154530, 513383723, -1, -1, -1, -1, 805269843, 887917560, 399061778, 819120148, -1, 158453949, 541036485, 671821799, -1, 532895638, -1, 450993140, -1, 279308274, 642319551, -1, 641703746, 207404831, 313405647, 97162630, -1, 232660369, 280964353, 902081404, -1, 336476421, 850072462, 619235963, 928138168, 753933159, -1, 363108202, 97618964, -1, 871901606, 691978824, 770290960, 892971587, 607949630, 688357420, -1, 271363069, -1, 323775383, 700220235, 302263908, -1, 428297147, -1, 871073749, 763186579, 156363071, 240378174, 811277641, 923295205, 268535001, -1, 862422419, 606968228, 589639309, 243304519, 567371337, 587492801, 319505642, 602003515, 598161726, 77695554, 172061818, -1, 298291261, 433924201, 550964756, 537306132, 685933590, 768119581, -1, -1, -1, -1, 935799740, -1, -1, 911482503, 173660312, -1, 751903089, -1, 984799059, 487549352, -1, 289360444, 117867415, -1, -1, -1, -1, 679024120, 509817799, -1, 946155865, 507136483, 510161569, 276540960, -1, -1, -1, 464664871, 680314102, -1, 761058244, 335352356, -1, -1, -1, 699010968, 724722045, 520443422, -1, -1, 473871822, -1, 355064946, 95830197, 152816247, 494148145, -1, 903978635, -1, 635059095, -1, 990307517, 337922646, 901242634, 400291683, -1, -1, 303863995, -1, 567352028, 245652427, 44523955, 993716841, -1, -1, -1, 701536848, 830505960, 357206267, 851837221, 233088332, 839312162, 211895860, 940385134, 79074009, -1, -1, 358658708, 85869772, 784280044, 259398100, -1, -1, -1, 851168678, 664916867, 357021524, 124353235, -1, 967756168, -1, 515418793, 850275914, -1, -1, 101184061, 616819688, 907213486, 441535525, 840798735, 158564172, -1, 353617340, 546452380, 688184790, 523682727, -1, 743107030, 756427427, 718549419, 596836659, 688370461, 638791743, 322790501, 752956781, 21578535, 50542856, 843824076, 960974938, 851760892, -1, 854212882, -1, -1, 336450518, 777567788, 381932305, -1, -1, -1, -1, 851772167, 843004206, 463349677, 165417556, 647803765, 858923880, 713525583, 54380807, 587925902, 414649491, 63027851, 364751882, 14392860, -1, 1444685, -1, 652604796, -1, -1, 130765837, 507753591, 628130846, 755829279, 921582134, 994168698, 929972568, 945225165, -1, 577645228, 802710938, 844970052, -1, -1, 427470186, 433299257, 219426842, -1, 487903168, 326773245, 511697715, 372308242, 986424537, -1, 128017559, 401950005, 632090009, 826171853, -1, 93763996, 296981094, 984827524, 671346444, 436758117, 169900080, -1, 268669166, 850971415, 649138684, 415917698, 780319264, 809392413, 666507909, 239943884, -1, 449136627, 304195010, 44599961, 342007808, 281362599, 858812989, -1, -1, 754012780, 389099858, 401549105, -1, 97610618, 35339802, 394099023, -1, 434892368, -1, 412351727, 245042576, -1, 181056743, -1, 719472971, 164778204, -1, 990353124, 526080815, 81472549, -1, 923017369, -1, 975817706, 860943932, 596328345, 670320248, 930014440, -1, 353705585, 293269318, 928124647, 618357133, 416900751, 798576591, 245758194, 215837134, 948294164, 654627625, 389205095, -1, 519139714, -1, 937296089, -1, -1, 854972738, 868272902, 818510995, 766339352, 797715350, -1, -1, 302196821, 463394254, 910213685, 916764094, 2956538, -1, 871806150, 896922798, 425897096, 432904276, 671597187, 816659178, -1, -1, 342017385, 344712379, 96525346, 481272482, 285362806, -1, 524061161, -1, 407764895, 225593014, 479748174, 666928583, 68316255, 887153390, 140244923, 134200827, -1, 683939785, 709830657, 170526526, 471661909, 967107893, -1, -1, -1, -1, 378460841, 273549891, 931745142, 402480097, 452212258, -1, 585490115, 79756494, 516880526, 705143321, 201410753, 933958205, -1, -1, 429265767, -1, 68945340, 831969567, -1, 889343051, 738481600, -1, 456521292, 323345616, 527806073, 171646993, 780496270, 820944373, 873862055, 238061462, 627879180, 844071168, 180463206, -1, 237443563, -1, 857298488, 44896010, 274635851, 938296652, 956572439, 925239689, 72962202, 918075666, 128245205, 3942788, -1, 129775868, -1, 927430945, -1, -1, 127699023, 70044014, 968157375, 54991087, 318252802, -1, -1, 313932665, -1, 745447001, 148037005, 91564422, -1, 84412936, 768283330, 110702016, 445556607, 259437127, 889880314, 923340256, 608504050, -1, 391100524, 87191395, 871250481, 182069189, -1, -1, 72379927, 484822828, 796992358, -1, 441935340, 763574492, -1, 760845616, -1, 328616818, 247873386, 140288985, 613809067, -1, 611727076, -1, 792640810, 462861177, 650247718, 480067932, 287341824, -1, -1, 518160871, 972605276, 541205975, -1, -1, 761072241, 619597983, 100818869, -1, -1, 843811359, -1, -1, -1, 992566929, 875549122, -1, -1, 683872771, 631388219, -1, 23779275, 409701856, 720768669, 974053186, 517302025, 203458881, 879690974, -1, 395977531, -1, 291276133, 158150304, 252429951, -1, 754338768, 610334569, 115391501, 550795270, -1, 407350465, 431459810, -1, -1, -1, -1, 98746807, 448876909, -1, 723402654, 740235019, 941935522, 674074338, -1, 565161071, 132107403, 170802185, -1, -1, 315545711, 746105749, -1, 89861451, -1, -1, -1, 265512673, 603830279, 65312821, 285045212, 540631885, -1, -1, -1, 332436743, 269155619, 399713779, 171225539, 89689411, -1, 925364032, 307870514, -1, 643631616, -1, 23143171, 484381363, -1, -1, 566674169, 894532336, 257109261, 654175738, 525512156, 386270258, 247647389, 119133041, 50767448, 996927737, 683304090, -1, -1, -1, 856903973, 324318452, -1, -1, -1, 24882148, 690177429, -1, 403212523, 589662531, -1, 107426020, 457474679, 852759438, -1, -1, 358391169, -1, 879924505, 346410089, 99947077, 42296397, -1, 658785107, -1, -1, 185913269, -1, 271922445, 218402446, 534099394, 571456145, -1, 561622741, 529239142, -1, 630300775, 217112669, 50025910, 158703405, 956985648, 761607999, -1, -1, 341094129, 559522888, -1, 244865139, 528505466, 987667863, 597512679, 154936165, 713271154, -1, 577817500, 120709206, 238213018, -1, 567868747, 539217824, -1, 648888325, 432006093, -1, 363374891, -1, 636080736, -1, 755914805, 232358975, -1, 548016768, 510526329, 297572092, 634718929, 109259648, 996570899, 512120412, 641473726, 257657722, -1, 464175947, 655424585, 735837196, -1, 466767858, -1, -1, -1, 791011543, -1, 337018660, -1, 287707934, 217277765, -1, -1, 64724058, 914060852, -1, 759465245, 765460113, 363403970, -1, 719041345, 519385584, 705786395, 180431099, -1, -1, -1, -1, 662768002, -1, -1, 888467651, 385330960, 227040606, 725865009, -1, 548345289, -1, 91005540, -1, 785761817, 458455364, 199547246, 521571029, 171486396, 863603781, 11637798, 488182073, 401449727, -1, 756872910, 589481588, -1, -1, 291058218, 812768728, 301544589, -1, 409823867, 251306760, 941651727, 405287712, 330572361, 245863034, 448911935, 350197584, 249234248, 489758928, 919322229, 164517872, 789039232, 933273096, -1, 210553448, 394233725, -1, -1, 717674789, 170268111, 424192282, -1, 248153563, -1, 660608596, 510763419, -1, -1, 307998999, 393378813, -1, 836041172, -1, 992313067, -1, 909707649, 577006120, 666489591, 564680091, -1, 273581865, 246154077, -1, 228484803, 39347678, 177413381, 210816767, 985127686, -1, 976504255, -1, -1, 217135490, -1, -1, 976801428, 472485568, -1, 84722370, -1, 972556599, -1, 823039291, -1, -1, -1, 326856581, -1, -1, 963418770, 776458438, 961940932, 694871154, -1, -1, 734120384, 697073801, 380870774, 112895257, -1, -1, -1, 450003066, 181753189, 755974977, -1, 759885396, 598487102, 955485656, -1, -1, 750957878, 629913958, -1, -1, -1, -1, -1, -1, 516841934, 799570839, 302202959, 553055192, -1, 187869428, 788046717, -1, 263090710, 96241212, 592678326, 588573227, 711586248, 490396673, -1, -1, 624085142, 762110116, 942147803, -1, 330530323, 803400343, -1, 657341289, 557170504, 852039826, 887837610, -1, 72342626, 492118617, -1, 377937272, 354233120, 983210692, -1, 447227594, 980361467, -1, 84577383, 726686955, 399958596, 737062751, 807092797, -1, 376218195, 213923989, 856072157, 400961694, 63002846, 60377693, 494715307, -1, 407250429, 821814528, 583608094, 312104597, 490497973, -1, 10875780, -1, 70960342, 351896519, -1, 353120980, -1, 125434482, 599562647, 398698828, 710008086, 342955533, 240891153, 410432887, 963724723, 266398799, 514457360, 217991835, 503695458, 405889433, 182984889, 723202218, 643140418, 748362000, 881880356, 876910908, 331040588, 956473821, 202205795, 644412383, -1, -1, -1, 486584354, 989888799, 913862931, 390196104, -1, -1, 637339814, 761645454, -1, 921499818, 81647422, 165527678, 956749674, 249693577, -1, 275905273, 992368255, -1, 275392630, 917523304, -1, -1, 752340413, 764125599, -1, -1, 634438550, -1, -1, 484705193, 696529473, -1, 909642680, -1, 134917426, 937759758, -1, 112335170, 981498233, 283333982, 999315672, 502597822, -1, 691657433, 438979699, 864054990, -1, 344400755, -1, -1, 568607627, -1, -1, 509292808, 667013371, 850210093, 342580114, 940726775, 917247210, -1, 315160484, -1, 786123209, 938300552, -1, 787073269, 678615981, -1, 883562830, 856818948, 568325440, 586020375, 189778727, 385645962, 609091455, 319528491, 5680260, 34993159, 416414919, 925865620, 757272633, 273618672, -1, -1, 332078823, 221624745, -1, -1, 570965419, -1, 278485160, 797414895, 471385765, 407305282, 815459071, -1, -1, -1, 909442003, -1, 333570042, 434946387, -1, -1, 502737789, 729181627, 512085065, -1, 335491558, 906601554, 323247726, -1, 767521578, 34125748, 136682317, 127641613, -1, -1, 521985240, -1, -1, 603966632, 905836016, 176241536, 693744424, 141879515, -1, 865657550, 210801514, 593597344, 284822330, 152293923, 837141234, 990756666, 235266737, 600967132, 260557173, 405031076, 584640271, 572561591, 834325482, -1, 282081665, 986457897, 398878066, 208951685, 403399629, 520538679, 314014863, 39896232, -1, 689430033, 48121244, 155654298, -1, 733797853, 859748507, -1, 242135343, 974619431, 926055363, 254908297, 149075779, 102692771, -1, 578931480, 175825651, -1, -1, 463985812, 420674679, 378907026, -1, -1, -1, -1, 806085534, 886590283, -1, 676619708, -1, -1, 58915190, 508526054, 426188497, 288917225, 354798328, -1, 424283526, 815115197, 176008577, 669658204, 717719073, 815425279, 962336259, -1, 752966772, 675521066, 273317088, 376066895, 966272009, -1, 747525267, -1, 593613381, 304273198, -1, -1, 476067071, 984995093, 865825124, 389557229, 388315946, 138283535, -1, 784762142, 153070984, 508726548, -1, 907089934, 320344015, 644551180, 411580814, -1, 736291064, 401453397, 691581442, 348343100, 291144084, -1, 978409390, 340281819, 418017229, 87997087, 995850838, 100782147, 338738256, 616440745, 695457420, -1, 598148480, 721637029, 89833294, -1, 973539301, 408637916, 759916260, 621566111, -1, -1, 942396787, -1, -1, 732420897, 259528572, 356576506, 477949884, 662053842, -1, 696295564, -1, 365102342, 322101545, -1, -1, 709396065, 11556486, -1, 218276915, 421420360, 922428444, 868223776, 315208136, -1, 687498611, 801422609, 87513994, 858061946, 315138026, 703533698, -1, 65378401, 506858629, 987863587, 73549784, -1, -1, 270309189, 154807091, 246677942, 74085566, 573903475, 598304319, 702626378, -1, 407939617, 275841571, 923087580, 444566978, 657589822, 418243771, 38611728, -1, -1, 457643397, 605134356, 481828111, 49426092, 330377807, 694795525, -1, -1, 22800908, -1, 268529076, 192998309, 326853025, -1, 838049424, 364070209, 923278537, -1, 291829259, -1, 15673269, -1, 965865992, -1, 672197842, 714102206, -1, 513638778, -1, 204580787, 628606845, 895500700, 359594633, -1, 359917966, 353247429, -1, 912864335, 944271036, -1, 602162427, -1, 667507419, 359761051, 651452483, 430443852, 926903131, 94952383, 132910934, -1, 141098199, 236667527, 896800106, 170689851, 264316616, 668569208, 694998081, -1, 563479021, -1, -1, 19720212, 600001561, 427134853, 542488010, 147895280, -1, -1, 12469497, -1, 819392618, 542185471, 380957471, 123736958, -1, -1, 109070078, 920886910, -1, -1, 589256943, 368172835, -1, -1, 525616815, 964310989, -1, -1, 10132739, 72688748, 226208053, -1, 972127330, -1, -1, -1, 820609551, 298684329, 803314049, -1, -1, -1, 56219854, 31503276, 256751226, 249007925, 797591462, 186518824, 110981495, -1, -1, 41338817, 806715058, -1, 754880721, 483864034, 906109670, -1, 286156371, 24749274, 439315972, -1, -1, 922748739, 414443846, 916778699, 690090792, 166512525, 756739008, 525845110, 71304684, 197727644, 721333641, -1, 574866389, -1, 532105198, 466559563, -1, -1, 171235238, 273734094, 468054484, 628923729, 130279662, -1, 718866393, 592948485, -1, 817442978, 906964203, 883156884, -1, -1, -1, 382040871, 116866625, 532322406, 78985472, 767696048, 424917179, 202684802, 764435034, 299593346, 658414399, 354976644, -1, 375843983, -1, 227260056, 929814092, -1, 336267371, 457717289, 36658861, 499165996, 733401947, -1, -1, 576923748, 446145102, 437327123, 602904065, 802907509, 530029742, 699296188, 759072545, 326205107, 584104854, 119641092, 501630372, 126469027, -1, -1, -1, 86899488, 966835069, 815048153, 5746773, 744384124, 201045023, 746294407, -1, 510994569, 48835511, 589319716, 807096913, 341436671, 54077618, 259580326, 823852257, -1, -1, 286219382, 700067573, 601682914, 413280262, 748104794, 342776304, 826851327, 729738110, 160260392, 902352549, 846183350, 112542393, -1, 645283760, 122264076, -1, 75566819, -1, -1, 122279042, 857560708, 752533165, 960614436, 330853357, 719083208, -1, 829714923, 883375311, 592941242, 862587278, 761734171, 778156697, -1, 27837116, 106372557, 361041107, 356125323, -1, 996792543, 541787128, 707003863, -1, 526657053, -1, 811658241, -1, 922496607, 899232663, 676269759, -1, 955770513, -1, -1, 762147375, 744977529, -1, 827054951, 730295304, 16359816, 928342416, 809484967, -1, 51602938, -1, 145331401, -1, -1, 691613474, -1, -1, 412299012, -1, -1, 987465463, 140281816, -1, -1, 754804717, 868410531, 108855882, 166235082, -1, 148067559, 628856894, 116961981, 748033210, 454912924, 31820120, -1, 785671478, 219672831, 613333426, 783210348, -1, -1, -1, 829936348, 862402344, -1, 437781242, 984237945, 655653249, 354904670, -1, 574473084, -1, 550973502, 583433140, 933305113, 597112290, 125864889, 201316496, 587261472, 963230637, 731376772, -1, -1, 392125602, 297502429, 503744956, -1, -1, 714999291, -1, 976923870, -1, 512992268, 118567432, -1, 347980745, 68324189, -1, 774986126, 576682251, 468620198, 698141593, 722066023, 643277329, 95233828, 410997854, -1, 322047003, 180043521, 423797617, 773098677, 777629399, 710845108, -1, 127350750, 593382825, 305819748, 591035259, 518754315, 146863116, 56053982, 602233102, 184737874, 315664789, 236571766, 559436795, 262029172, 316867005, 274311566, -1, 874958376, -1, 534988174, 397609815, 475451877, 583275742, -1, -1, 599942814, 115835818, 88772829, 774889958, 503427265, -1, 938855334, -1, 238744513, 889530690, 635242851, 535542742, -1, 411096604, -1, 924209332, -1, -1, 864561711, 430821633, 295886265, -1, 685515244, 644560515, 766527551, 95160272, 390844599, -1, 559055427, 151839425, 931039520, 672264835, 635444453, 730846355, 120788987, 375749960, -1, -1, 862466209, 955656766, 419708993, -1, 411536842, 436743312, -1, 273201992, 338187981, 275677300, 960546786, 567817533, 774905352, 778828532, 598109896, 834383080, 542800965, -1, 449997059, 230949073, -1, 170449498, -1, -1, 25470702, 664681734, -1, 807861605, 820957490, 588616124, 491485864, 298441768, 541587448, 644722768, -1, 418785158, 341305769, 104579729, -1, 103956763, 862583651, 530188455, 680091767, 924306260, 137837122, -1, 696317904, 335427087, 852651079, 405521655, 822165262, -1, 640452994, 834522241, -1, 693112583, 829750916, 927302456, 911616218, 411415934, 166583854, -1, -1, -1, 319771199, 408016318, -1, 629282176, 807183774, -1, -1, 938823899, -1, 305577267, 889612003, -1, 297655297, 712593854, 876524843, 132580088, 579824258, 780730361, 403079482, -1, 257964578, 730447812, -1, 931434143, 579715175, -1, -1, 538434038, 309344531, 532492923, 578823796, -1, 98427616, 445573181, 208602854, 414103634, 466804809, -1, 752838369, -1, 810517746, 393842673, 26446526, 746618073, 154140077, 493832864, -1, 979724204, -1, 201073982, 414818503, 727480035, -1, -1, 527771906, 146695788, 393744699, 600959100, 831028969, -1, 30738162, -1, -1, -1, 583519749, 610154348, 265240490, 86192495, 361332228, 190226628, 995023500, -1, 903640842, 247511524, -1, 969873347, 390137776, -1, 702017081, 912929117, 799839907, 577507815, -1, 422772834, 241456360, -1, 848131514, 176595862, 637129313, 107154520, -1, -1, 107517627, 558815936, 600235782, -1, 801980150, 210514264, 403001121, 420390674, -1, 920214124, 247782973, 564150426, -1, -1, -1, 729201598, 605517079, 603869667, 263723128, 114949189, 168916262, 662828800, -1, -1, -1, -1, 274793103, -1, 656574588, 852928945, 575961282, 662475462, 290898869, -1, 48002544, 395806426, -1, 179627841, -1, 310915094, 609284388, 181414335, 421186029, 658602491, 819530920, -1, 1129078, 490801276, 174184377, 668438706, 184648175, 144580580, -1, -1, 3792685, -1, -1, 765990398, 638980534, -1, 538293860, -1, 421099095, 91413788, -1, -1, 54192695, 786259942, -1, -1, 465815986, 404172628, 221638227, 867647268, -1, 369674913, -1, -1, 785010648, 253976823, -1, 21549144, 100557455, 174917191, -1, 372824099, 555397960, -1, -1, 733848854, 709758012, 244376987, 296904217, 233223576, 814673075, 134020283, 28037216, 955112310, -1, 734509324, -1, -1, 301384959, 633700895, 236739123, 634325897, 630762871, 6757073, 24818529, 433282471, 562327476, -1, 523627370, 625436457, 866357731, 118167091, 682484930, -1, -1, -1, -1, 885563542, 999368845, 902247174, -1, 343909713, 254364884, -1, 336356768, -1, 850054303, 247485207, 295697876, 474437408, 918693813, 3950186, 375863711, 464376563, 240922573, 148407899, -1, -1, -1, 727176707, 598309748, 148827128, -1, 433370713, -1, 889513857, 673049268, -1, 713745478, 97095652, 319871174, 325124695, -1, 958721844, 34061151, -1, -1, -1, -1, 360360643, -1, 688847112, -1, 404752309, 859906043, 150315782, -1, -1, 715911706, 750083430, 725121191, 574192567, -1, 489574802, 770922242, -1, -1, 414222875, 451094840, -1, 367846479, -1, -1, -1, 749807265, 317992292, -1, 914147365, 817574672, -1, 997051808, 608888728, 585003740, -1, 289325712, -1, -1, 990778081, 678711595, 123048164, 197155544, 580320030, 2202641, 586512638, 67523344, -1, 962146707, 693883257, -1, -1, 720850607, 624617458, 104320487, -1, 355285204, 445150960, -1, 988115673, 161849262, 779003828, 947555781, 486972801, 325284494, 349864825, 386819540, 945772360, -1, -1, -1, 155725534, 654700379, 132544698, 938783185, 32659899, 119370214, 114166688, -1, 6915828, 647856402, -1, 888733338, -1, 381203330, 942374622, 514077131, 487190467, 108971278, 37732332, 972304640, 596178881, 444211968, 109115662, 15497107, -1, 926088181, 632432467, 225091780, 220224956, -1, -1, 246664150, 438091110, 397224776, 406462246, -1, 425489747, 457438878, 204019766, 401845518, -1, 510278282, 453176826, 376512543, 122494574, 437032324, 292367646, 857441451, 624473230, 661318250, -1, 57386657, -1, -1, -1, 466853929, 816943048, 308885718, -1, 592704838, 292870246, 279745055, 542527315, 88444851, -1, -1, 990615980, 747143703, -1, 943927871, 960095018, -1, -1, 919063775, 97165029, 963432539, 744880205, 333564138, -1, 243358713, 421907226, 564595243, -1, 720566055, 346103625, -1, 848917338, 438013501, 583082804, 106721447, -1, -1, 728785632, 314857026, 337254033, 78858968, 30805947, -1, -1, 536042474, 54161170, 220589389, 698710202, 87131770, 741462387, -1, 382920142, 684926724, 418315588, 227267086, 732867612, 487638395, 192649984, 519872347, 705915714, 289010369, 843106383, -1, 621994822, -1, 182322514, 830926987, -1, -1, -1, 757707353, 151924631, 797661893, -1, 124284781, 881510619, 337409745, 752232024, 592863434, -1, 2679995, -1, 262223015, 827743643, -1, -1, 410148674, 571296530, -1, 305541883, -1, 40921030, -1, 713948739, -1, 891241249, 953342216, -1, 557000413, -1, 922242147, -1, -1, -1, 791334499, 494877694, -1, 988384275, -1, 710205838, -1, 520126536, 691575770, -1, 841500626, -1, -1, 913789955, 596943019, 944139733, 346084985, 474548960, 144089743, 127447233, -1, 239522644, 268298851, 114254825, -1, 699463747, 850230870, -1, 555462296, 272182071, 728971098, 859470202, 265631951, -1, 429149759, 489570000, 286038635, 630086525, 742812893, 983064176, -1, -1, 258974042, 692364742, -1, 861252816, -1, 159162264, 986716019, 276334021, 995254789, 657479193, -1, -1, 816998763, 510945226, -1, 530057771, 307105303, 890889366, -1, -1, 507476375, 895372868, -1, 439074834, 538160060, -1, 69682711, -1, -1, -1, 585370437, 379373716, -1, 229596979, 458698656, 86669141, 78525609, -1, 741967867, 904063933, 41612538, 101480011, 887711036, 482804435, 892115580, 861090085, 507180079, 359861798, 787356367, 180229794, 445689187, -1, 737802671, 688976673, 780108488, 196016690, 130930156, 415096274, 281324819, 142266084, -1, 61992466, 806269410, 661120990, -1, -1, 227887242, 79888491, 701275832, 996562128, -1, 122067348, 776822920, -1, 810588405, -1, 790834571, -1, -1, -1, 482886290, 453876841, 212097811, 926651686, 776050861, 879838328, -1, 92757929, 646305167, 413913825, 146771085, -1, 435720667, 368244492, 774819498, 845603821, 974625759, 91299226, -1, 7574721, 579984916, 197634300, 595538745, 60365532, -1, 173552166, -1, 392082921, 670760388, 314140459, -1, -1, 309087825, 164911331, 44158636, -1, -1, 810391412, 545129945, -1, 955024128, 967222323, -1, 968874382, 598105983, 328079263, -1, 7432048, -1, 392972808, -1, -1, 600037737, -1, -1, -1, 202709502, 514246773, 898689260, 441764708, 722149963, 146438419, -1, -1, -1, -1, 149631213, -1, 14715010, -1, -1, 506489289, 384233616, -1, -1, -1, 856090210, 716866884, -1, 889217341, -1, 902150481, 99444723, 981220725, 976628727, 498378045, -1, 740730186, 158942654, 789949543, 386796782, 594535, 85740100, -1, 843747317, -1, 663539172, 135775450, 76229849, 388254895, 520895469, 742195939, -1, -1, -1, 643513883, -1, 65560436, 293612214, 919823816, 340567804, -1, 125484628, 696013946, 996512227, 12910056, 65989410, 465388210, 103962558, 581566022, 185184583, 357634695, 507836669, 518837838, 929276411, 516346815, -1, 877973393, 279160016, 262960997, 120112805, 516951301, -1, -1, 835049044, 201333167, -1, 628687184, 612716448, 847934214, 722250321, 361149050, 635291475, -1, 661586245, -1, 569696503, 455548655, -1, 794423812, -1, 671444579, 757558731, 141266698, 333296979, -1, 615875281, 731537124, 229755205, 248526971, 483983906, 494955583, -1, -1, -1, -1, -1, 509560877, 105974321, 302925111, -1, 805866829, 16817897, 614992939, -1, -1, 832832882, -1, 796116362, -1, 816332689, 874949663, 876050063, 812875000, -1, -1, 786100161, 880144286, 274707298, 478224844, 728290713, 562930395, -1, 444717461, -1, 992227262, 240777067, 605438352, 405887160, 355132002, 226070516, -1, 366010797, 55174365, -1, 324699519, 155504175, 156922717, 173817558, 394513262, 989117662, -1, -1, 153231606, 399565187, 727827686, -1, -1, 266778677, -1, -1, 290320818, -1, 913234730, -1, 946583766, 756128018, 142800844, 784327116, -1, 451052869, -1, -1, -1, 262597990, 211655909, 410804149, -1, -1, 897494688, 660108399, -1, -1, -1, -1, 3978446, 809052822, 460601040, 168933669, 702950821, 867350800, 728638680, 448803416, -1, 814097399, 948645719, 136493574, 683380733, -1, 359070715, 138130223, 258338728, 809097815, 165655149, -1, -1, 669889658, 930533949, 802637414, -1, -1, 229702253, -1, 464682478, 136367108, 914940589, 10816913, 153519324, -1, 98889335, 109045486, 996491658, 148726793, 531430317, 458044097, 782721612, -1, 903992385, 482551480, 990765656, 65520323, 134926361, 265675580, 138925096, 119682265, -1, 365149710, 272106212, 420182444, -1, -1, -1, 314688964, 265158800, -1, 701538144, -1, 648668865, -1, 418019135, 310216774, 945472296, 437094367, 785955472, 40815202, 211680240, -1, 335014651, 496601305, 414888330, 984858043, 573151484, -1, 423619525, 371386183, 358990969, 494566531, -1, 424441152, 13557963, 110983871, 125980410, 169822811, -1, 107666199, 316982267, -1, 73978852, 290037715, 800034965, 434963249, 383284258, 671997758, 833860244, -1, 291976996, 906261313, 810860999, -1, 919915285, -1, 120569379, 807835862, -1, -1, 194578408, 270663173, 362296311, 289464582, 753348886, 233144635, 733688564, 154623292, -1, 713653856, 482659354, -1, 962380432, 377663811, 119222686, 4594964, -1, 698724380, -1, 658633609, -1, 993380178, 334667907, 649360876, -1, 289968299, 338180050, 922952576, -1, -1, -1, 185918540, -1, 610300096, 637345809, 725021298, 242621048, -1, 368764303, 511292006, -1, -1, -1, 217419775, -1, 256741102, -1, 884560265, 526737158, 958269547, 722137099, -1, 882096554, -1, 232691155, 5608338, 98753992, -1, 863019337, -1, 806242258, -1, 167330168, 969641505, 803134177, -1, 153879053, 233601292, 57568215, -1, 602371474, -1, -1, 858822228, 282020758, -1, -1, 315073677, -1, 613328577, 370544016, 188308938, 25707036, -1, 317546026, 795071054, -1, 829218072, 743406689, 536538865, 458759321, 718836341, -1, -1, 175821742, 528863243, 128916837, 845251687, 566023015, 828331402, 898274445, 962047345, -1, 759605654, 727777837, -1, 214624272, 928360363, 995653407, 579209895, -1, 386369930, -1, -1, 522327071, 649991130, 909839540, 297742079, -1, -1, -1, -1, 48773593, -1, 253004694, 932437062, 190113696, 506715958, 648184345, -1, 808024357, 320857062, 137528809, 707914179, 801393792, 964969990, 898638177, -1, -1, 301555694, 91765649, 85877055, -1, -1, 613679774, 335608594, 822578714, 127823043, 348559670, -1, 264673421, 337881263, 972961731, 883380968, 89178697, 491787046, 187892437, 206808414, -1, -1, 757436471, -1, -1, -1, -1, 546994915, 333511152, 464406959, 852974138, 279198141, 9072900, 33748758, -1, 853674725, 246477018, -1, 640250362, -1, 902293565, 322246819, 447487539, 808036052, -1, -1, 651583364, -1, 431140373, -1])) + +test6 :: Test +test6 = TestCase (assertEqual "for (minDifference [750354075, 333104895, 149585610, 913304939, 486884091, ( -1), 423409213, 619193586, 801032135, 23239194, ( -1), 960617650, 716568388, 454368596, 775346308, ( -1), 160838491, ( -1), 953206344, 528922884, 460852141, 789438249, 495190519, 762287796, ( -1), 895256185, 671333928, ( -1), 509490608, 45375807, 30748526, 45201715, 319337599, 305459524, 110103463, 415437222, 632683939, 807415592, 315902108, ( -1), ( -1), 386412863, 422717534, 191675962, 490771639, 483651298, 469143448, ( -1), 777708674, 568551760, 944851986, 768634633, 346180079, ( -1), 48897687, 11492079, 424165645, 724714816, ( -1), 800038304, 556233966, ( -1), 443551152, ( -1), ( -1), 657852597, 339792147, 264756176, ( -1), 591202430, 178507874, 863245265, 692740254, 571041122, 820448847, ( -1), 15048234, ( -1), 714128073, 975959336, 697135675, 107931238, 736438337, ( -1), ( -1), 647545167, 19589420, 726720414, 945260610, 359566994, 508867227, ( -1), 291035375, 354195654, 379918933, 14231756, 971529346, ( -1), ( -1), ( -1), 937135215, ( -1), 296020667, 314268656, 607989192, 692824692, ( -1), ( -1), 258206532, 278948505, 730402328, 146269497, ( -1), 927600825, 817150863, 203880242, ( -1), 487749729, 336535420, 242646779, 580015135, 661291099, 14497958, 438091043, 374515137, ( -1), 825329758, ( -1), 997438, 549989810, 231545722, 704253711, 61894509, 706670877, ( -1), ( -1), 100323418, 660879629, ( -1), 362981139, 701311619, 757211392, 432019754, 142831312, 841913770, ( -1), ( -1), 518180118, 192197812, 61801117, 652081046, 841953688, 590579855, 443306811, 337073301, 840489801, 573390284, 948586567, ( -1), ( -1), 951195659, 443870681, 742415060, 108738005, 273519060, 20194741, 76757136, ( -1), ( -1), 15101558, 139668628, 360688131, ( -1), ( -1), ( -1), 405901610, 31888203, 797024224, 971941902, 555764211, 306570246, 544030224, ( -1), ( -1), 444096767, 852360687, ( -1), ( -1), 332402522, 257494357, ( -1), 713593932, ( -1), 37021437, 793327639, 702066520, 593315312, 227271645, ( -1), ( -1), 700588003, 286212432, 586419829, 222517459, ( -1), 923341878, 264924778, 467114937, 524999435, 15069508, ( -1), ( -1), 766766332, ( -1), 279432189, 226271872, 850277791, ( -1), 894954363, 147005277, ( -1), 799161112, 423585761, 126929701, 12148437, 662736433, 703847740, 421864386, ( -1), 303861165, ( -1), 3505059, 627955267, 845914858, 984314272, 878415174, 783761631, ( -1), 623892091, 287794903, ( -1), 866845259, ( -1), 489176224, 934575336, 867137150, 869749387, 988817, ( -1), 481229889, ( -1), ( -1), 687241435, 634389314, ( -1), 48131765, 240189953, 189222866, 966200741, 73439369, 818620700, ( -1), 982502011, ( -1), ( -1), ( -1), 36689018, 791435649, ( -1), 328258874, ( -1), 998612506, ( -1), 391716054, 873505518, 467833288, ( -1), ( -1), 188421752, ( -1), 533631260, 557677902, 144144054, ( -1), ( -1), 640118945, 459949394, 238100375, 712072099, 443030912, ( -1), ( -1), ( -1), ( -1), 953848804, 783287336, ( -1), ( -1), ( -1), ( -1), 519976225, 434181421, ( -1), 135573903, 480053889, ( -1), ( -1), 198552093, 233249046, 77120626, 418969664, 423614790, 454564790, ( -1), 215052081, ( -1), 763497699, 673041746, 985641407, 849187599, 798920212, ( -1), 402432633, 721370438, 641427647, ( -1), 458968992, 540202952, 928310089, 252154342, 12455793, 697747332, 282600926, 139097985, ( -1), 615549972, ( -1), 744566208, ( -1), ( -1), ( -1), 662850577, 106648986, 587932569, 332930792, 656699169, 105436608, 577088404, 856277825, ( -1), 291881610, 550652832, 568239024, 770352970, 443942566, ( -1), 639330032, ( -1), 20721074, 208991011, 953138174, ( -1), 898949380, ( -1), 721044100, 448590842, 600747313, 462363354, 798782558, 875529077, 156270103, 597340205, 637730293, 333805304, 256310355, 30889384, 825909151, 752669278, 491366251, 101203404, 656890471, 289076131, 219843546, 930334747, 541090192, 292587792, 162011564, 37152022, 28272282, 729979471, 802781092, 761201204, 562258755, 557705877, 349312432, 482385039, 28609843, ( -1), ( -1), 201891463, 793322026, ( -1), ( -1), 946112315, 843096449, 812377714, ( -1), 507345175, 666077813, ( -1), 722427230, 894887547, 795281320, 296449808, 695190480, 678196712, 139702985, 643260614, 180444616, 838239613, ( -1), 698311433, ( -1), ( -1), ( -1), 535675103, 951232355, ( -1), 9626561, 620347530, ( -1), 209216605, 676342788, 79939000, 678785610, 471819049, 17164808, 878074012, 212114659, 217901083, 390786861, 327924944, 748583654, 48150951, 373676068, 284242782, ( -1), 806777596, ( -1), ( -1), ( -1), 557486029, 416711372, 656827237, 632923372, 866360231, ( -1), 773047351, 385941787, 463976124, 635721685, 45956147, 256605937, 285495877, 473808119, 799118708, 487725886, ( -1), ( -1), 376982869, 340886155, ( -1), ( -1), 734871035, 882374002, 633300897, 255709935, 296413218, 147532429, 219741926, 668934632, 568215810, 511769414, 67466, 273860078, 828479508, 853043798, 17436933, ( -1), ( -1), 865367859, 827416730, ( -1), 771130767, ( -1), 565550952, ( -1), 697649475, ( -1), 965071147, 849090481, 627931657, ( -1), ( -1), 205769109, 770764257, 247569857, 602162069, 112646521, 112965731, 855161862, 797577511, 352762304, ( -1), 905818660, ( -1), 554517391, ( -1), ( -1), 608707510, 434107482, ( -1), 904666592, 387223065, 171017980, 814739570, 542544871, 611002773, ( -1), 408050485, 952759979, 949574216, ( -1), ( -1), ( -1), 605047321, ( -1), ( -1), ( -1), 862675932, 463129576, 206416067, 517762724, 879866672, ( -1), ( -1), ( -1), 218767642, 140748632, 477472666, 714179334, 994339161, 547152318, ( -1), ( -1), 788061060, 829504394, 110623548, 618294193, 901445089, ( -1), ( -1), 821483952, 944996696, 938825580, ( -1), ( -1), ( -1), 908263320, 436846300, ( -1), 571880916, 886804164, 539432085, ( -1), ( -1), 306835362, 470423228, 46093320, 896807301, ( -1), ( -1), 208010925, 430774292, 392672418, 15525366, ( -1), 827023685, ( -1), 676998921, ( -1), ( -1), 306466277, 904903598, 165845036, 770434260, ( -1), 892162555, 766564505, 671196283, 805854473, 613140238, 733045421, ( -1), 870958769, 436796713, 807542616, 855636650, 420618120, 851353404, ( -1), 822487788, 18862516, 572986760, 820721087, 727717680, 529468732, 418525315, ( -1), 425334640, 937433740, 386513178, 105984388, ( -1), 827375171, ( -1), 427691325, 282125385, 523713173, 699132149, 974211565, 59995414, 287633500, 796182946, 723521899, 19174997, 847582730, ( -1), 641380290, 971867625, 590667840, 52725209, 735128660, 688930420, 893892921, 963822978, 933878988, 401264820, ( -1), ( -1), 948216471, 379860703, ( -1), ( -1), 188044767, 955787523, ( -1), 616000179, 217185936, 662950529, 321664031, 340261068, 404253707, 256350455, ( -1), 555985130, 399723792, 679495205, 625897476, 212895037, 261912157, 508617808, 10036501, 802066995, ( -1), ( -1), 255104663, 467743793, 428388511, 936223830, 751572182, ( -1), 536113077, 400008598, 720065979, 656648934, 166470276, 438933203, ( -1), 302709769, 642650576, ( -1), 406609353, ( -1), 296677455, 775247678, 520984395, 59358564, 73208163, ( -1), 732381225, 444949374, 403068988, 644124270, ( -1), 363698871, ( -1), ( -1), 35625601, 581938905, 583582134, ( -1), 138037244, 345108693, ( -1), 746443795, ( -1), ( -1), ( -1), ( -1), ( -1), 110356926, 51287992, ( -1), ( -1), ( -1), ( -1), 473789710, ( -1), 579482037, ( -1), 770228050, ( -1), 351695680, ( -1), 607851507, 249505476, ( -1), 262685777, 732588021, 5447358, ( -1), 911723316, ( -1), 387192321, 643279012, ( -1), 302534656, ( -1), ( -1), 453294651, 183892906, 216122066, 138952695, 742644018, ( -1), ( -1), 840635936, 997137547, 711662625, 287003633, ( -1), 820829570, ( -1), 644732399, 736229532, 432315174, 771798991, 283475163, 6855074, 29662979, 106632798, 144978703, 635654468, 826166366, 820825743, 57014518, ( -1), ( -1), 699737230, 525978255, 333327056, ( -1), 962107695, 793192838, 429100972, 981988194, 138619976, ( -1), 881892735, 490003640, 777904600, ( -1), 308713639, ( -1), 918936982, 96375201, ( -1), 75761825, 379426270, ( -1), 351950566, 367282296, 888953856, 865139070, ( -1), 291027995, ( -1), 269754590, 26255766, ( -1), 841549022, ( -1), 191037297, 103944367, 983353834, ( -1), ( -1), 491708922, 505714992, 367294561, 975460304, 393774254, 681278546, 188052591, ( -1), 577829113, ( -1), 668779, 610828936, 262817604, 705010433, 566054827, ( -1), 752615809, ( -1), 492454013, 293692429, ( -1), 610781428, ( -1), 920142205, 657343286, 535808064, ( -1), ( -1), 194717565, ( -1), ( -1), ( -1), ( -1), 463124855, ( -1), 374274136, 427068840, 848492330, 758125992, 656722101, ( -1), 638333492, ( -1), 228803182, ( -1), 440412624, ( -1), ( -1), ( -1), 564429328, 186971044, ( -1), 368359821, 132731499, 987433199, ( -1), 806074967, 573320952, 736902215, 411125324, 585302394, ( -1), 403812371, ( -1), ( -1), ( -1), 971474208, 693008351, 386663718, ( -1), 70894880, 833854966, 106630467, 977919852, 192929687, ( -1), ( -1), 260706598, 219969115, 48179921, ( -1), 514454345, ( -1), ( -1), ( -1), 428467592, 861922112, ( -1), 464641229, 482312275, 601649387, 314291501, 857137342, 696841860, 285371297, 719523237, ( -1), 336100322, 915616569, 580789430, 311214512, 928454783, 755345646, ( -1), 519517943, 483375174, ( -1), ( -1), ( -1), 105745046, 944563433, 257315202, ( -1), 215407877, ( -1), ( -1), 542227517, 924606065, 66140737, 105833010, 425484002, 68106932, ( -1), ( -1), 134970077, ( -1), 718177063, 274241218, 365909221, 255997653, ( -1), 115270305, 88207043, ( -1), 211574307, ( -1), 691031884, 512174236, 481607971, ( -1), ( -1), 469220356, 4627849, ( -1), 960117910, 16250651, 361258512, 779903339, 287542391, 440812924, 540626085, 559172529, 704236445, 884908520, 472055869, 697010982, 580130269, ( -1), 864816255, ( -1), 425634503, 17369772, ( -1), ( -1), ( -1), 893912459, 956909298, 837701818, 884008890, 880726960, ( -1), 600685155, 995414792, 116758441, 771008860, ( -1), ( -1), 579876401, 734660674, ( -1), ( -1), ( -1), 427129225, 23809459, ( -1), 130008384, 741341664, 29131661, 921216409, 517600299, 855715893, 764401744, 696279761, ( -1), 627772398, 175240797, ( -1), ( -1), 61367115, ( -1), 984678999, ( -1), 877616305, 571488045, 262541823, 746070267, ( -1), 904925412, 960212269, 257953461, 430831144, 237311733, 459270918, 826780159, ( -1), 853451881, 318567497, 900377655, 173306803, ( -1), 248075150, 412598265, ( -1), 201854112, 638325000, 536512772, 57507468, ( -1), 322729508, 515661709, 646561106, 164202826, 100442316, ( -1), 234618604, 210796932, ( -1), ( -1), 855995710, 298669687, 835808494, 81867528, 70434601, 648608977, 774281964, ( -1), 461352867, 589897246, ( -1), 272345520, 846908295, 925824497, 127469997, 715485919, ( -1), ( -1), 833100738, 708007578, 224135339, 330713043, 711480515, 892719838, 221189804, 229492797, 374737556, ( -1), 804409658, ( -1), ( -1), ( -1), ( -1), 473949326, 265298193, 690539182, ( -1), ( -1), 485880181, 108931227, 456749260, 676986283, 193580795, ( -1), 139141004, 176296091, ( -1), 696630221, ( -1), ( -1), 405629303, ( -1), 838157309, 972247761, 199753147, 118185924, 800155868, ( -1), 900662973, ( -1), ( -1), 923850164, 282959658, 984887658, 246574123, ( -1), ( -1), ( -1), 723477645, ( -1), 267348223, 118755819, 360168867, 758766842, 679139790, 389909373, 811635824, 365839008, 756838476, 652476124, 250237833, ( -1), 81135880, ( -1), ( -1), 871229793, 978301658, 199431078, ( -1), 307989396, ( -1), 705136478, 930677560, 147780599, 849413727, 198165153, 276925018, ( -1), 391790864, 362163022, ( -1), ( -1), 627342874, ( -1), 863088743, 644920104, 750726082, 209165074, ( -1), 448026701, 28481707, 985268378, 89619551, 386834524, 39026153, ( -1), 831018424, ( -1), 308265140, 993747400, 351061721, ( -1), 460644664, ( -1), 382233442, 121812234, 753764203, 646992960, ( -1), ( -1), 865219106, 144817510, 220763040, 112471804, 322901428, 963448303, 670367409, ( -1), ( -1), ( -1), 239304507, 806922611, 965757209, 492966680, 618115641, 578509822, ( -1), ( -1), 939898143, 298950396, ( -1), 679223493, ( -1), ( -1), 347745097, 402711770, 902828911, 175931967, ( -1), ( -1), 683655236, 856841745, 926922521, ( -1), 402301107, ( -1), 124488035, 523089174, ( -1), 898662342, ( -1), ( -1), 119019550, 740700393, 381758455, 508914983, 797546213, 800544027, 422397333, ( -1), ( -1), 297465749, 303074932, 962003897, 861579022, ( -1), ( -1), 300541754, 437156155, 55921672, 353595266, 840271654, ( -1), ( -1), ( -1), 796306735, 596706145, 808562593, ( -1), 162745888, 713327921, ( -1), ( -1), 618833454, ( -1), 29171227, 797898758, ( -1), 122525166, ( -1), ( -1), 586791531, 272464198, 6753662, 610250610, 337965106, 526881859, 829100540, ( -1), ( -1), ( -1), ( -1), 990477433, 789195411, ( -1), 803208641, 511077415, ( -1), 682042406, ( -1), 384727057, 618668751, 10585914, ( -1), ( -1), 280325842, 962681556, ( -1), ( -1), 127277983, 29170238, 322062291, 329693743, 705915788, 512387928, 45037026, ( -1), ( -1), 875655908, 505530765, 232761648, ( -1), 173174742, 912413804, 896119662, 729251521, 899227580, ( -1), 39844031, 627847231, 976523753, 332019405, 378414034, ( -1), 591375495, 967276363, 833672584, ( -1), 534729125, 106746204, 897208309, 226871715, 479119517, 897536012, ( -1), ( -1), 923448367, 586057931, 725097053, 5966449, 516992503, 741377839, 469198322, 611427099, 441404882, 865299064, 826982215, ( -1), 517477140, 569054790, 483063266, ( -1), ( -1), 258825422, 706896522, 16426698, 598014292, 829121394, 628434961, 767344476, 27572270, 486005887, 731802347, 325492852, 421012603, 524482150, 723011972, ( -1), 95932095, ( -1), 693544106, 569319296, 898792863, ( -1), 292665739, 322050938, 832249864, 957970521, 527124045, ( -1), ( -1), 104602051, ( -1), 731670845, ( -1), 137439164, 779641232, 931145307, 349033237, ( -1), ( -1), ( -1), 237988484, 497377777, 836031626, ( -1), ( -1), 988403096, 668308836, ( -1), 895724894, 365638675, 216111061, ( -1), 332444650, 158678387, 626950666, ( -1), 71439817, ( -1), 818832081, 826147219, 159777918, 807213080, 710362698, 147963923, 572142136, 407699692, 916303783, 986807105, 649426031, 502198542, ( -1), 37092997, ( -1), 147167743, 756688388, ( -1), ( -1), ( -1), ( -1), 981353250, ( -1), 228682838, 449402753, 661890742, ( -1), ( -1), 637321413, 16898555, ( -1), 145604192, ( -1), 724536218, ( -1), 637030353, 544898522, 72585419, 416940982, 844839487, 560486891, 962649268, 43698562, 36924304, 275327175, 706723482, 686914737, ( -1), 917532369, ( -1), 416478795, 939633202, 948450648, ( -1), 623891906, 791917000, 183170756, 812910943, 452980484, 970775972, 981903389, 927103729, ( -1), ( -1), 715982722, ( -1), 247916542, 353735488, 39664245, 787445634, ( -1), ( -1), 570836180, ( -1), 777866187, 81342851, 704409689, 856915013, 681433908, 71271248, ( -1), 118988656, ( -1), 967201910, 753187886, 319403112, ( -1), 783101313, 10409907, 707687077, 182628077, ( -1), 704083729, ( -1), 185643964, 885963505, ( -1), 87651731, 972359628, ( -1), 708999754, ( -1), 637985120, 47133065, 125999243, ( -1), 577618405, 804525174, 324260937, 468810209, 941883191, 369585036, ( -1), 268501219, 922855723, 880717927, 850270823, 428482330, 114280597, 197875885, 664903199, ( -1), ( -1), 908338293, ( -1), 740794911, 241916062, ( -1), ( -1), 170248049, ( -1), 877113010, ( -1), 923445406, 908856852, ( -1), ( -1), ( -1), 510679340, 150457514, 731098991, ( -1), 945766996, 741190620, 530190997, 953425430, 864608330, 829610285, 478044835, ( -1), 670637378, ( -1), ( -1), ( -1), 485847853, 56195261, ( -1), ( -1), 313243410, 833858095, ( -1), ( -1), 431201474, 128704288, 178581251, 675812518, 729459304, 539502012, 512094841, 883985687, ( -1), 725098305, 842691559, 382451459, 839599913, 825130392, ( -1), 668540943, 216287015, ( -1), 393319955, ( -1), 630349894, 119416819, ( -1), ( -1), ( -1), 434748664, 121171200, ( -1), 194672495, 58046221, ( -1), 669031497, 994505269, 307952665, 772027181, 507950381, 923506876, 532961037, 531631870, 391232359, 652962403, 982523988, 647194936, 266722041, 658398592, 700782408, 354830056, 731769892, 496161897, 19278479, 138535861, 456810365, ( -1), 414747567, 330395496, ( -1), 759230412, 202310004, 90227590, 877586435, 30806249, 436751945, 538364233, ( -1), 414436403, 711380544, 698122919, 122044876, 269660091, ( -1), 169532968, ( -1), ( -1), 501914885, 615922967, 598046996, 175043950, ( -1), ( -1), 128923162, 471354361, 993944067, ( -1), ( -1), 38254036, 822826910, 478856262, 676868350, 750037574, 764542833, 77923081, 919861779, ( -1), ( -1), 158920947, 60933070, 142226568, ( -1), 740992775, 603934409, 205912483, 336245910, 314063613, ( -1), ( -1), 140491907, 254600523, 789351093, 985153144, 750581140, 808516685, ( -1), 599388614, ( -1), 672959369, ( -1), 728255075, 528382203, ( -1), 238261592, 953125437, 466539267, 739466873, 968253890, 708802508, 408054272, 916242117, 567549192, 886158890, 922849320, 442951227, 358457920, 146896948, ( -1), ( -1), 314842719, 385187242, ( -1), ( -1), ( -1), 438489919, 459087512, ( -1), 463535316, 339204214, ( -1), 140760548, ( -1), ( -1), 231255049, 290771328, 481692191, 946957558, 201548081, 662369398, 837731038, ( -1), 225226527, 522096489, 141870674, 637025091, 958198750, 179540111, 529772779, 992242199, 756938124, 965238024, ( -1), 414247458, 665541124, 532007757, 80999572, 640920250, 382493096, 754919876, 781367249, 193078532, 571112994, ( -1), 53317117, 651878779, 780343443, 844841660, 136276224, 836280907, ( -1), 689534003, 955369795, 197702567, ( -1), ( -1), ( -1), ( -1), ( -1), 408017406, 298584609, 724396105, 515387955, ( -1), 949930739, 244211089, 35870021, 44975677, ( -1), 407212851, 260209996, ( -1), 229323784, 260222389, 683801496, 80681649, ( -1), ( -1), 350687380, ( -1), 963741063, ( -1), ( -1), 565917236, 650617996, 437828603, 228984967, 462704835, 525259863, 731955264, 27437196, 62666482, ( -1), 472740370, 863488174, 347093266, ( -1), 408038339, ( -1), ( -1), 155780366, ( -1), ( -1), 278112408, 686281155, ( -1), 305187190, ( -1), 984683792, 652375441, 124382083, 809450511, ( -1), ( -1), 699556805, 125980680, 860106091, 499079983, 449436807, 640886442, 427936789, ( -1), ( -1), 961926724, 797820910, 260667552, 184386604, 618080988, 780739778, ( -1), 650135028, ( -1), ( -1), ( -1), ( -1), 717433620, ( -1), 665824804, 800360804, 785178002, ( -1), 73068862, 74202335, ( -1), ( -1), 273560890, ( -1), 669754308, 756579719, ( -1), 499911658, 489852592, ( -1), ( -1), 442127650, 9704780, ( -1), 175384821, 102215764, 477505882, 708848908, ( -1), 676294290, 672062132, 326913525, 98956421, ( -1), 762220915, 26800616, ( -1), 524097887, 78127206, 342153920, 256376961, ( -1), 921214262, 863029912, ( -1), 893093382, 520967740, ( -1), 626171527, 635561361, 342251320, 112727468, 27632903, 57234649, 856215379, ( -1), 272920752, 518079198, 372817144, ( -1), 356597181, ( -1), 248457048, 674743938, 844859247, 784270709, 153337399, 200019402, 208068253, 586329147, ( -1), 359435506, 205857879, 263962108, 825633696, ( -1), 256149900, 287658865, ( -1), 249767691, 170484002, 382656694, 649352932, 463153817, 421268136, 911888153, 33149582, ( -1), ( -1), 548301835, 571003132, 71559406, 210199914, ( -1), 502791875, ( -1), 858317447, 386550158, 124512102, 835258634, ( -1), 739436818, 667758187, ( -1), 506395720, 291331093, ( -1), 286569545, 479217907, 878487706, 888737496, ( -1), 19397431, 881993886, 239008580, 73108231, 249868603, 116678062, ( -1), ( -1), 264430479, 716754174, 85074312, 763597371, ( -1), 350011140, ( -1), 847274174, 963441691, 134209802, 545898460, 353933337, ( -1), 417084740, ( -1), ( -1), 805863709, 279486834, 995936378, ( -1), 632776382, ( -1), ( -1), 636627654, 623931975, ( -1), 435482931, 727330904, 448836666, 441720077, 145395959, 871566011, 500194788, 650624368, 55056607, 690125471, 470467945, ( -1), 998521551, 221231876, 418930738, 382813246, ( -1), 323840253, ( -1), 688746627, 204211557, ( -1), 263336498, 178976702, 755605134, 510808892, ( -1), 727105520, 867165783, 684525097, 809931809, 265590711, 517637727, 432478803, ( -1), 717020513, 401121786, ( -1), 259091820, ( -1), 579514074, 662956660, ( -1), ( -1), 388399390, 779733379, 353571089, 81755138, 217955488, 906604955, ( -1), 679648358, ( -1), 250906826, 12551832, 280593555, 230271029, ( -1), 342735616, 340592500, 884957251, 202479759, 627433486, 462157190, 176159316, 361001901, ( -1), 337456042, 902291263, 941610783, ( -1), ( -1), ( -1), 704529115, 241744431, 857966711, 261043933, ( -1), 206220646, 246060387, 979257642, 570782167, 595795401, 366810644, 340327460, 144992464, 530889850, ( -1), 20424616, ( -1), 775863455, 490431252, 540867740, 730973157, 677031664, ( -1), ( -1), 439035922, 608384731, 892956630, 133545049, ( -1), 639703873, ( -1), 386405226, 684059410, ( -1), 841991951, 554601623, 781954222, 46889377, ( -1), 240296276, 429065414, ( -1), ( -1), 378175459, 735260571, 194984113, 2146894, ( -1), 718735040, 822977919, 859131776, 826639047, 941723184, ( -1), ( -1), ( -1), ( -1), 34475419, ( -1), ( -1), ( -1), 231101754, 221658704, 423540860, 916071173, ( -1), 507118879, 978862853, 296348512, 5552742, ( -1), 926328674, 571804440, ( -1), ( -1), ( -1), ( -1), ( -1), 498732529, ( -1), 111520325, 351879607, 312270878, 938063125, 409970055, 520545092, 727840026, 908511399, 270993333, ( -1), 923769625, 396860615, ( -1), 974513801, ( -1), 74737388, ( -1), 336585823, 4944815, ( -1), 878971288, 210551578, 757223060, 78431043, 621482404, 740711227, 184978936, ( -1), 373797863, ( -1), ( -1), ( -1), 110716603, 44423328, ( -1), ( -1), ( -1), ( -1), ( -1), 231086938, 301185242, 76246437, ( -1), 516885674, 6143360, 510699551, 989030711, ( -1), 130855602, ( -1), 319769301, 742526640, 504028464, ( -1), 609447488, 290254145, 474079988, 769386330, 543998370, ( -1), ( -1), 279283099, 526136905, ( -1), 501591545, 788628171, ( -1), ( -1), 658755686, 603206354, 67885964, 69087376, ( -1), 957486210, 731452191, 330530331, 82160963, 178969606, 999877061, ( -1), ( -1), ( -1), 655451617, 368735677, 753512107, 371126723, 242311690, ( -1), 813982137, ( -1), ( -1), 228576867, 38992364, ( -1), 950014489, 434416347, 119669392, 614731772, 441672359, ( -1), 31840131, ( -1), 92489662, ( -1), 1849695, ( -1), 159984720, 38395317, 382303725, ( -1), 88418996, 726712381, ( -1), 488106700, 484003856, 10311040, 834237355, ( -1), ( -1), 277802386, 99322939, 746387384, 80744996, 507952979, ( -1), ( -1), 361314606, 80503307, 887277261, 489237999, 771030111, ( -1), 723114861, 869056748, 991293505, 115518878, ( -1), 971876534, ( -1), ( -1), ( -1), 523210210, ( -1), 138436945, 705886032, 419711176, 209874178, ( -1), 619662468, ( -1), ( -1), 389662252, ( -1), 899937668, 528665397, 61727489, 889774212, 835847002, 94366597, ( -1), 853238109, ( -1), 52675063, 888534843, 212677361, 979923001, ( -1), 326535249, ( -1), 336341347, 849156923, 100407815, 416218530, 844032012, ( -1), 203862480, 267649786, 858299815, ( -1), 227747826, 502915368, 293088287, 635309526, 702935609, ( -1), 26994251, 402240977, 696390150, 39076243, 816888096, ( -1), ( -1), ( -1), 234937373, 124272216, 394680510, ( -1), 66112469, 931256392, ( -1), 286067124, 664542819, 454019682, 597864897, 932252442, 863155529, 144270752, 161859795, 431314647, 909863078, 750740982, ( -1), ( -1), ( -1), 292472340, 217016126, 61384903, 468762231, 846790666, ( -1), 246412320, 71196452, 88195763, 130854205, 948352034, ( -1), 805114558, ( -1), 353842241, 584567765, 543674950, 301470357, 623632899, 411423333, 850440881, 210274423, ( -1), 254362593, 532106090, ( -1), 196179192, 406787642, 181839900, 737210494, 281882555, 527451255, ( -1), ( -1), ( -1), ( -1), 751117371, 384809182, 648084646, 938130328, 687295195, 716239065, 59948736, ( -1), ( -1), 673419592, 843895040, 401341035, 2986730, 309914428, 662302095, ( -1), 55289899, 653643041, 194853252, 793514697, 976219621, 863964685, 634328077, 151124429, 412082851, 641479414, 997592943, 717438081, 952053940, ( -1), ( -1), 239215869, ( -1), 163427197, 592407780, 28025149, 236195710, 227822811, ( -1), 480368300, ( -1), ( -1), 22374740, 800223353, ( -1), ( -1), 669219343, 946515147, ( -1), ( -1), 956551891, ( -1), 612736934, ( -1), 887957751, 461597463, ( -1), 122058814, 406778548, 645572970, 473937483, 288744806, 144999099, ( -1), 267435605, ( -1), ( -1), 570675525, 865370941, ( -1), 595152499, 41029823, 333623012, 622732788, ( -1), ( -1), 859780524, 133885337, 559500961, 716139606, 310793477, 728501283, 907694891, 140657956, 579916631, 716225273, ( -1), 185305124, 918354528, ( -1), ( -1), ( -1), 526409380, ( -1), 818417678, ( -1), 383979595, 902740556, 708590529, 339901618, 223480987, 382558516, ( -1), 529341265, 718278144, 41811185, ( -1), 6183142, 63654396, 420376880, 956455356, 495892516, ( -1), 958444690, ( -1), ( -1), 66139860, 254159442, ( -1), 374610303, 777452342, 234819242, ( -1), 55963918, ( -1), 281278518, 161173869, 138715310, ( -1), 775088161, ( -1), 635768556, 850847860, 90142381, ( -1), ( -1), 173767155, 874736589, 100179266, 604429031, ( -1), ( -1), 632518111, 532737987, 601891413, ( -1), 342187942, 25768234, 180349549, 578692023, 801568322, ( -1), 730457014, 348395364, 775939070, 850243978, ( -1), ( -1), 526157079, 526928077, 776649953, 635440430, 760672962, ( -1), 542351021, 70615693, 356215615, 66888804, 759173124, ( -1), 539073059, 364621720, 121252797, 70411247, 208235092, 511729843, ( -1), ( -1), 516882592, 326644454, ( -1), ( -1), 63953251, 859599633, ( -1), 973220759, ( -1), 858658817, 813755469, ( -1), ( -1), ( -1), 780105475, 365323819, 740885997, 965298398, 945074452, 858907480, ( -1), 779186610, ( -1), 865574154, 960924459, 222608943, 164903270, 23363326, 340871065, 695149976, 906664750, 358110413, ( -1), 73519291, 850400776, ( -1), 2423788, 753351296, 278348891, 496500265, ( -1), 280181446, ( -1), ( -1), ( -1), 875251717, 243564578, ( -1), ( -1), 532996890, ( -1), 473881218, 810461496, ( -1), ( -1), 143735678, 479890996, 265458041, 36893457, ( -1), ( -1), 114398674, 72949388, 347149185, 151142582, ( -1), 503753647, ( -1), 573480615, 127406764, 416793283, 817586655, 352106619, 698960718, 200533362, 264476248, 934734891, 834016929, 968475756, ( -1), ( -1), 124940333, 313987720, ( -1), 862607813, ( -1), 104669555, 273547136, ( -1), 863982108, 524398456, 92542225, 516350390, ( -1), 314055475, 763984503, ( -1), 502497596, 192829619, ( -1), 150762385, ( -1), ( -1), 125810751, ( -1), 261716868, 977704616, 874753260, 763435966, 8014525, ( -1), 68386118, 651354051, 51185904, ( -1), 420113132, 37684875, 7564044, ( -1), 28683971, 315178189, 288648340, 700166268, 344206642, 279584679, 972805149, 357802496, 251695339, 928393609, 434714647, 802222067, 281953828, ( -1), ( -1), ( -1), 75817195, 898519429, 930864070, ( -1), 213963127, 271525586, 980938969, 944282929, ( -1), ( -1), 758033370, 292802306, 937692615, 105989084, 724849075, 3906897, 832968926, 651015246, 157491595, ( -1), 452823684, 692325177, 78039419, ( -1), 674926193, 781072373, 444451178, 581511719, 563256610, ( -1), 703150739, ( -1), 58789002, 825267504, 786868605, 664826918, ( -1), ( -1), 705208754, 620640733, 309989253, ( -1), 366115813, 465143304, 913078133, ( -1), 167086944, 756326614, ( -1), 324473997, 372129366, ( -1), 409607488, 350395874, 606017565, ( -1), ( -1), 416949584, 190842304, 706908937, ( -1), ( -1), ( -1), ( -1), ( -1), 736625041, 936326908, ( -1), 310872601, 166982155, 273241182, 129777766, ( -1), 50965182, 29058376, 465662597, 728503503, 94497880, ( -1), ( -1), 586704737, ( -1), 966007569, 627877364, 122397848, 144288070, 205773974, 608650130, 413148253, ( -1), 626414347, 580396013, 139897373, ( -1), 745691703, ( -1), ( -1), ( -1), 332996341, 561552136, ( -1), 527172837, 264357556, 887934141, ( -1), 568020318, 897306876, 414245701, 476646015, 823645384, 43133107, 13666992, 656485240, 8331086, 630101695, ( -1), 666457377, 226455977, 101529662, 698681804, 830468408, ( -1), 137238084, ( -1), ( -1), 458330870, ( -1), ( -1), ( -1), ( -1), 899135885, 237113967, ( -1), 990824031, 335169182, ( -1), ( -1), ( -1), ( -1), 333075482, 624375084, 96354584, 940927438, 753429368, 211310971, ( -1), 271353173, 438538799, 228167582, 187263710, ( -1), 791575287, 598939494, ( -1), 677048265, ( -1), ( -1), 327898919, ( -1), 351894578, 342477602, 690170647, 247777566, ( -1), 478230522, 747917357, 653325774, 83509174, ( -1), 262768135, ( -1), ( -1), 195235856, 425966271, 514000923, 903064665, 320119194, 16750568, 971656781, 191669137, 883095783, 151598173, 619039788, 127115439, 723101034, 835075491, ( -1), 358290701, ( -1), 52602282, 885770747, ( -1), 209281327, 671664208, 246377727, 806082339, 605308468, 732847326, ( -1), ( -1), 454088579, 88965233, 196216453, 833187945, 359466155, 524581751, 308836639, 33963217, ( -1), ( -1), ( -1), 740469310, 27701226, ( -1), 417317413, 716321475, 878362721, 533778149, 746793760, ( -1), 488224497, 499366645, 588366592, 595107074, ( -1), 712625802, 527453014, ( -1), ( -1), 571202785, 463750179, 734722552, 728314232, 969980448, 275457963, 895518567, 658050698, 693033910, ( -1), 374474931, ( -1), 46725063, 613076197, 850623573, 743142810, 936341455, 440290546, 85931518, 184407560, 741020584, ( -1), 716322760, 959727988, 623119764, ( -1), 527473590, 955709968, 695861984, 242480324, 764514617, ( -1), 811412753, ( -1), 49806084, ( -1), 572374686, 482994963, 617920415, ( -1), ( -1), 610933215, 744251732, 790202040, 884608874, 352277853, 20630581, 17217513, 889041012, 76900311, 643665774, 15668700, 340021134, 369286506, ( -1), ( -1), ( -1), 668736415, 120459879, 897765864, 330983384, 290507663, ( -1), 192825445, 518070452, 779796419, 728938404, 690897319, 897941303, ( -1), 858422114, 610738933, 548341673, 916464776, 125348153, ( -1), ( -1), 907239209, 403859711, 12835012, 653741274, ( -1), 351071233, 663734176, 274072066, ( -1), 370392366, 20461287, ( -1), 17922258, 307886580, 410470557, 648103805, 4796112, 359065949, ( -1), ( -1), 757240005, 961159001, ( -1), ( -1), 591917372, 163824651, ( -1), 925068158, 115515647, ( -1), 957807671, 998745540, ( -1), 259314938, 811081613, 393374808, 302790049, 614635575, ( -1), 128689943, 283455769, 802500961, 745775354, ( -1), ( -1), 326317107, 394271359, ( -1), 479736877, 383432954, 773451271, 801519545, 16362918, ( -1), 905634330, 501895784, ( -1), 368389778, 617847046, 195860519, 422104643, 343033902, ( -1), 443690364, 172108823, 856216696, 85671746, 792911189, 452691160, 388532513, 580363683, 488287625, 796014079, 790117548, ( -1), 868808154, ( -1), 549564588, ( -1), ( -1), 108163677, ( -1), 129807029, ( -1), 537742721, 351304162, 584024026, ( -1), 927007570, 755708758, 946006123, ( -1), 559880802, ( -1), 292314147, 143417979, 6835219, 668580131, 331220409, 557703550, 753978350, 753049991, 8008656, 106200001, 674569224, 419294051, ( -1), 198076649, ( -1), 735298647, ( -1), 546185211, 482935408, 858464188, 390618867, 614600846, 367504664, 323635918, 451422598, 666380792, 775433415, ( -1), 494745973, 178960944, ( -1), 896213834, 432610938, 194866271, 617470037, 390301485, 581088030, 897176070, 743248404, 100733661, 704410320, ( -1), 39628782, 574130739, ( -1), ( -1), 725948663, ( -1), 685112169, 137879462, 487107003, 814008, 276561210, 905937510, 834733220, 582847209, 970277444, ( -1), 453144720, 860869219, 889675510, 924488003, ( -1), 75238270, 877936945, 986495775, 911830887, ( -1), 389805423, 235588717, 118137941, 837006245, 593838313, 51913602, ( -1), 164140398, ( -1), 813411435, ( -1), 621461887, 341006074, ( -1), 365531416, 413878107, 207287131, ( -1), 494930861, 737139323, 847570735, 99327423, 382092750, ( -1), 902102511, ( -1), 889344290, 5056772, 149908992, ( -1), ( -1), 557536692, 455079439, ( -1), 524553987, ( -1), 762583173, 977325920, ( -1), ( -1), 423968953, 403522239, 536281073, ( -1), 679058285, 176726530, 25699106, 956502059, 678720964, 611895108, 421551376, ( -1), 982773066, 650479066, 21203487, ( -1), 771587049, ( -1), 827462477, 225885454, ( -1), 743324134, 19922189, ( -1), ( -1), 494986793, 920917945, 151656460, 228051698, 221522240, 910248829, 94828645, 199737443, ( -1), ( -1), 919312078, 132792180, 707286952, 405457681, 952247968, 509320630, ( -1), 571620181, 276308342, 724989461, ( -1), ( -1), 506971183, 355550432, ( -1), 53941849, ( -1), ( -1), 708120725, 971680542, 119186109, ( -1), 5335395, 302772339, ( -1), ( -1), 659892798, ( -1), 158127246, 804178415, 735350288, 433868158, 743980784, 455620705, 591939466, 668709549, ( -1), ( -1), ( -1), ( -1), 654118633, 302297326, 53446069, 266134849, ( -1), ( -1), 257224009, 212037142, ( -1), 721549968, 459185919, 94002221, 97675790, ( -1), ( -1), ( -1), 383004841, 298910804, 62391920, ( -1), 631452924, 674472319, 179330876, 731132960, 518913665, 798318329, 983071488, 337686499, 429379193, 458613278, 424746831, 441854301, 404082861, 353763212, 748693606, ( -1), 792625906, ( -1), 808861108, ( -1), 106684518, ( -1), 199366585, 830572564, ( -1), ( -1), 835689378, 753970385, ( -1), 108009722, ( -1), ( -1), 71111489, ( -1), 572284344, ( -1), 416449586, 61916148, 251364882, ( -1), 110077212, 516913210, 334477794, ( -1), 338199105, 994270455, ( -1), ( -1), 689706174, 398015822, ( -1), ( -1), 280489839, 374455817, 707035675, ( -1), 589764763, ( -1), 759588504, 386602417, 978806855, 120088770, 468666847, 291068706, 529815462, ( -1), ( -1), 695455749, 229608185, 400288059, 749535165, ( -1), 98515272, 752652375, 389598532, 597579242, ( -1), 625476362, 262405011, 562321587, 565640381, ( -1), 772982200, ( -1), ( -1), 186240108, ( -1), 215014979, ( -1), 108036954, 767692126, ( -1), ( -1), 290607954, 227670968, 335949545, 447419108, 563334023, ( -1), ( -1), 860814092, 312352376, 398741166, 553666965, 685634480, ( -1), 402000250, 76263466, 236482165, 335129637, 512890360, ( -1), 919248348, 975787044, 847081039, 975963119, ( -1), ( -1), 836250773, 452740856, ( -1), 211950096, ( -1), 519264535, 992349936, 849182180, 5209271, ( -1), 388812849, ( -1), ( -1), 282585826, 657543852, ( -1), ( -1), 533802899, 690090560, 384261743, ( -1), 836825756, ( -1), 49272206, 526091035, 353219692, 504559084, ( -1), ( -1), 346119215, ( -1), 631274090, 593965537, 193046942, ( -1), ( -1), 565401984, ( -1), 510766221, 815776156, 972742560, ( -1), 149465423, 785746910, 724375103, 619083227, ( -1), 352248391, 699925732, 359754549, ( -1), 287762864, ( -1), ( -1), 145299463, 733509954, 966792564, 779569715, 872159395, 536543984, 419260871, 886343651, ( -1), ( -1), ( -1), ( -1), 502746032, ( -1), ( -1), 812729381, 499712784, 559789959, 776766640, 853406796, ( -1), ( -1), 176713991, 963879416, 989373185, ( -1), 70569500, 11521155, 960723813, 228247294, ( -1), 603449478, ( -1), 60628561, 367922138, ( -1), 536874352, 921324455, ( -1), ( -1), 515999849, 556577767, 618535624, 95814201, 977820634, ( -1), 125600479, ( -1), 594101671, ( -1), ( -1), 848972609, ( -1), 491326856, 837993063, ( -1), ( -1), 292484826, ( -1), 943444164, 547893912, 649830136, ( -1), ( -1), 112735338, 490092861, 232464782, ( -1), 120220045, ( -1), 471546628, 451750229, ( -1), ( -1), ( -1), 728017058, ( -1), ( -1), 954213765, 36216334, 852256030, 704654381, 585316651, 202812905, 33731533, 935062614, 731169687, ( -1), 601103497, 113048423, ( -1), ( -1), ( -1), ( -1), 58367506, ( -1), ( -1), ( -1), 178636781, ( -1), 484072647, 150218572, 822765116, ( -1), ( -1), 17621399, ( -1), 82529669, 302706252, ( -1), 638937660, 415033742, 400291467, 585429395, ( -1), 80590645, 990734313, ( -1), 747217736, 614068808, 975882005, 307836852, 78446362, 896483061, 592758490, 54457716, 398750873, 755662635, 780474593, ( -1), 54755827, ( -1), 626440273, ( -1), 496231134, 802071275, 345240911, 716393282, 199168773, 521042942, ( -1), 106778749, 421114868, ( -1), 20459440, ( -1), 623267456, 379486917, 266183976, 900645448, ( -1), ( -1), ( -1), ( -1), 333285963, ( -1), 733108907, 138819387, ( -1), 704488820, 235051386, 88983393, 295788821, 579713656, ( -1), ( -1), 178918573, 721163559, ( -1), 992232614, 333102234, ( -1), 13956323, ( -1), 796220257, 736840924, ( -1), 285863508, 453761233, 367487409, 392998449, 558700358, 600524725, 64844196, ( -1), 291693367, 175100167, ( -1), 2247918, 106237640, 377330595, 766630018, ( -1), 425614669, 848401235, 593696259, 709974185, 487205617, ( -1), 702600462, 811212589, ( -1), ( -1), ( -1), ( -1), ( -1), 789115158, 185990092, 697457796, ( -1), 775443353, ( -1), 727603316, ( -1), 338047001, 185123726, 231134841, ( -1), 311791061, 532014902, 184310490, 75971686, 66076524, 804894053, 844739752, 606800589, 399751657, 695444596, 737981816, 622861715, ( -1), 933062859, 497802932, ( -1), ( -1), ( -1), 741513522, 302423620, 917312379, 134340806, 334382680, 718086348, 128464536, 611615953, ( -1), 445497312, 629743548, 733129717, 828179110, 890926438, 593791495, 864802968, 847413129, 717801190, 7361924, 382127315, 781794652, ( -1), ( -1), 275609052, ( -1), 668230029, 943926556, 853676195, 324459151, 226116076, ( -1), ( -1), 371965412, ( -1), ( -1), 692924348, ( -1), 505497377, 864145633, ( -1), 915023675, ( -1), 511455378, ( -1), ( -1), 577083606, 733892977, 585380189, ( -1), 43938451, 348629209, ( -1), ( -1), 756268385, 116502991, 601365824, 844522122, 647867636, 829012171, ( -1), ( -1), 651960203, 551288884, 140883622, 237940670, ( -1), 624815781, 602836737, 172252, 368805655, 413595023, 636307707, 195745154, 431457810, 769237298, 490131090, 740564415, 424065239, 643312899, 81189001, 732662965, ( -1), 790003667, ( -1), ( -1), 528570608, 810068593, 84643800, 979078337, ( -1), ( -1), 688120797, 922647479, ( -1), 236596286, ( -1), 268396540, ( -1), 301235393, ( -1), ( -1), 743939374, 256636860, ( -1), ( -1), 348413550, 393939999, 92878827, 164673636, 566696917, 703416152, ( -1), 47384294, 534926476, 508348501, 435626975, 893055608, 968120712, 241695437, ( -1), ( -1), 67191267, 488151671, ( -1), 497278599, 759033055, 526858322, ( -1), 712066814, 934111932, 954635628, 489607321, 334442436, ( -1), 980682593, ( -1), ( -1), 598758508, 943405399, 62774405, 175823084, 518008030, 198685991, 361792315, 269713402, 149040303, ( -1), 982004431, 989413861, 707243157, 12535854, ( -1), ( -1), ( -1), 814921805, 520814890, 572976685, ( -1), 595384847, 459914364, 543495160, 257385222, 85518634, 338288959, 917389509, 323373279, 514200512, 777766826, ( -1), 694483453, 139880401, 324691895, 552234279, ( -1), 679791838, 761639788, 302236864, 885243097, ( -1), ( -1), 149064289, 186934028, 222294783, 364550504, ( -1), ( -1), ( -1), 32954332, 151160339, 139643597, ( -1), ( -1), 793847703, ( -1), 277081328, 964243430, 790983515, 932610815, 164996477, 260316976, ( -1), ( -1), 957123747, ( -1), ( -1), 163856726, 105267049, 528919513, 193363450, ( -1), 189493050, ( -1), ( -1), 562006699, ( -1), 393672865, 524893073, 31574069, 774709718, 142831791, ( -1), 320103340, ( -1), 492464096, 949618907, 20881050, 82639679, 959173975, 340722616, 717014784, 768196961, ( -1), ( -1), 880999251, 900759545, ( -1), 368971994, 214209945, ( -1), 528919182, 562021687, 273967535, ( -1), 524600609, ( -1), ( -1), 544780291, ( -1), 176881347, 112118027, 736803394, 921359202, 338773461, ( -1), 944620658, ( -1), 627167008, 65321080, 838313981, 745635386, ( -1), ( -1), 570888905, ( -1), 933493652, ( -1), 814560759, 761686319, ( -1), 832697812, 992532277, 136951623, 813573920, 143796873, 725308575, 430839854, 198092526, 399205789, ( -1), 847024988, ( -1), ( -1), ( -1), 152883553, 662732455, 432121991, 121114178, ( -1), ( -1), 582625386, ( -1), ( -1), 936296205, 205176515, ( -1), 81794466, 22528397, 290649581, 968946538, ( -1), ( -1), 960061782, ( -1), 676825648, 434817084, 787702000, ( -1), ( -1), ( -1), 843439539, 999072035, ( -1), ( -1), 472077065, 402220645, 437787008, 659417137, 78088266, 548272394, 910553479, 341143420, 784799996, ( -1), 747476758, 728605400, 558827087, 990935255, 459594317, ( -1), 758727470, 248543071, ( -1), 738538033, 172131164, ( -1), 20369379, 828691691, ( -1), ( -1), 197384442, 458325198, ( -1), 240297176, ( -1), ( -1), 339795743, 581762208, 654320423, 128096806, 838286596, 287600832, 435411954, 717982974, 831050021, 891792975, 451765566, 639018267, ( -1), ( -1), ( -1), 444013027, 853470559, ( -1), 477913657, 598855207, ( -1), 757836466, 142461937, ( -1), 143140715, ( -1), ( -1), 118640428, 771906391, 884623420, 456989089, 255075486, 784123468, 571209829, ( -1), ( -1), 761211676, 676981748, 459958592, ( -1), 862726378, 841668942, 259188759, ( -1), ( -1), 196146719, ( -1), 578568852, 179914148, ( -1), 441808474, 518768964, 129974600, 384613204, 934796757, 2251540, 789916587, 573343717, 368514220, 17543403, 389753815, 147636763, ( -1), 678798730, 455047106, ( -1), ( -1), ( -1), 198098505, 142667577, 60204458, 896883045, 695243148, 301443019, 657194096, 669186126, 395915511, 643160672, 10842418, 945763227, 443818147, 234446302, 333442287, 531518152, 435317978, 784794560, 552617323, 458700566, 900562206, ( -1), 37922239, ( -1), ( -1), ( -1), 8276909, ( -1), 99126341, 130328403, 773063749, 564267847, ( -1), 729410584, 685042844, 75731147, 278483734, ( -1), ( -1), 507458609, ( -1), ( -1), 783501028, 305048629, 714419100, 100554799, ( -1), 181737579, 400475667, 11697223, 895204969, 530311707, 425035597, 139747919, 208606983, 243931824, 677932176, ( -1), ( -1), 942970613, 461531489, ( -1), ( -1), 970221706, 752831363, ( -1), ( -1), 8275007, 97741564, 908982110, 921836566, 465544774, 941604768, 85198186, ( -1), ( -1), 97993128, ( -1), ( -1), 144418351, 528867898, 740028531, ( -1), 337887310, 800750027, 346380457, ( -1), 571676878, 91185902, 516775500, ( -1), 203602900, 424200857, ( -1), 762171009, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 691891472, 463702900, 838051103, 287744690, 790867530, 479090072, ( -1), 699554331, 624531013, 345208945, 54901917, ( -1), ( -1), ( -1), ( -1), 375296399, 405771829, ( -1), 745864927, 370625899, 997494908, 879013548, 339903102, ( -1), 470762405, ( -1), 579301924, 769492743, 352552192, 960988065, 677101795, 742456977, ( -1), 580716241, 584223154, 434249904, 646719427, 375073612, 885081549, ( -1), ( -1), 331229324, ( -1), ( -1), 488437380, 741034859, 304370544, 606940939, ( -1), 677061640, 606646180, 934404348, 579208749, 281640698, ( -1), 451570974, 140340830, 685018226, ( -1), 673063278, 659450264, 904376535, 297727071, 995904262, 940509161, 138252355, ( -1), 570507896, 491515969, 822725495, 468545830, 819201061, 229965986, 657283835, ( -1), ( -1), 934453562, 503488929, 918387303, 932909232, ( -1), 557048577, 133580041, 61574953, 705693486, ( -1), 828261856, 283112045, 813174773, ( -1), 233384619, 145698012, ( -1), 791315348, 119982802, 745477714, ( -1), 752722092, 99001534, 475730135, ( -1), ( -1), 773988257, 879341359, 135348375, 786398782, ( -1), 727480080, 701931782, ( -1), 174163641, ( -1), 721272448, 758991760, 909892632, 545329119, 733302230, 234521435, 221019697, 310858748, 628284574, 671380998, 446899675, 474855473, 155626621, 867599122, 329131852, 19995369, 101199335, 694808960, 458130184, ( -1), ( -1), 185959506, 512228744, 869737629, ( -1), 510319527, 521916320, ( -1), 905000403, 769044108, ( -1), 751034925, ( -1), 197277943, 533186096, ( -1), 968821390, 177865529, ( -1), 922749887, 991515530, 793055235, 865133927, 443999553, 534312087, ( -1), ( -1), ( -1), 601100645, 99676584, ( -1), 346606302, 935336492, ( -1), 672261522, 279578979, 869332792, 736868177, 36560844, ( -1), 631404322, 709777751, 51569134, ( -1), ( -1), 17111897, 693900844, ( -1), ( -1), 204544010, 50262745, 313681478, 582574188, ( -1), 31334847, 926190197, 625533249, ( -1), 747336326, 700886974, 298822541, 360349541, 53436481, ( -1), ( -1), ( -1), 998187064, 777807179, ( -1), 100940630, 803269571, 470734238, 212355888, 184744359, 374645561, 310297145, 52068273, 288328595, 723900481, 180867512, 563360225, ( -1), ( -1), 368108048, 574766887, ( -1), 355280798, ( -1), 336393521, 544698904, 800015403, 142205696, ( -1), 376579259, 285436367, ( -1), ( -1), 495101455, ( -1), 213933035, 502133643, 937269950, ( -1), ( -1), ( -1), 191607712, ( -1), 630151226, ( -1), ( -1), 173467598, 185690312, 61139706, 879191721, 997303486, 250753554, ( -1), 38661871, 519738253, 850738510, 697019212, 802384297, 424608185, ( -1), 584466544, 927881310, 655821441, 830565736, 230373858, 880526741, 373971310, 482102401, 244143334, 128416891, 179430995, ( -1), 120692117, 790403733, ( -1), 625858050, 467697955, ( -1), ( -1), 676102094, ( -1), 263424469, 202064938, 369966246, ( -1), 751694341, 239336915, 136745311, 283992997, ( -1), 60003024, ( -1), 275419457, 732339887, ( -1), 830510131, 629904105, ( -1), 766602440, ( -1), ( -1), 19697837, 24081413, ( -1), ( -1), 950455749, 379524479, ( -1), ( -1), ( -1), 496646966, 488251782, ( -1), ( -1), 540085388, 564288640, 804151662, 241929139, 240304140, 168769783, 524663969, 54363931, 68770912, 475923516, ( -1), ( -1), 348128297, 750158595, 121660187, ( -1), ( -1), 927183832, 192497118, ( -1), 771533115, ( -1), 858367567, 287789560, 814809888, 548594803, 993104688, ( -1), ( -1), 39181814, 992077075, 872936697, 529080875, 216565472, 197074488, 170753175, 576260096, 952650110, ( -1), 271054825, 261806636, 448163411, 978777050, ( -1), 118302396, 480359329, 95102885, 851683743, 175649821, ( -1), ( -1), 450864238, 630110485, 755100174, 558111365, ( -1), 466563033, 94917357, 367697140, 121857232, 980567544, 470033264, 931491210, 524239473, ( -1), 468558974, ( -1), 813705046, 360793392, ( -1), 365750996, 76482962, 264434526, 57814930, ( -1), ( -1), 533767328, 28840632, 395568421, ( -1), 169200444, 770192157, 607050725, 531327134, 500008631, ( -1), 420523831, 207417042, ( -1), 151173742, 69923509, ( -1), 655917417, 433026706, 118170250, 726297172, ( -1), 851124009, ( -1), ( -1), 167248642, 595412873, ( -1), 544806221, ( -1), 525857667, 5715875, 230959016, ( -1), 291426941, 930192768, 362551029, 891879792, ( -1), 762671730, 562779247, ( -1), 272329234, ( -1), ( -1), 443476188, ( -1), 308265087, ( -1), 207724822, 599057372, 413124002, 590504467, 616124244, ( -1), 119877217, 334029571, ( -1), ( -1), 722661794, ( -1), 95919960, 515060840, ( -1), ( -1), 804423127, 922861852, 502086439, 533410601, 849276904, 736304582, 44891090, 983316474, ( -1), 98558602, 835086482, ( -1), ( -1), 651188011, 334788848, ( -1), ( -1), ( -1), 899577576, ( -1), ( -1), 271050083, 179799415, 368116706, 739136362, ( -1), ( -1), 313200168, 724764816, ( -1), 93261500, ( -1), 25175256, ( -1), 577289996, 580863039, 54998394, 361758763, 449660139, ( -1), 640679472, ( -1), 103744971, 708412032, 293864150, ( -1), ( -1), 908869036, ( -1), 874350534, ( -1), 439398463, 723701915, 559053329, 309183180, 274650560, 897089794, 826931291, 43757509, 172232898, 847294101, 112204389, 39931206, ( -1), 24778810, 716669703, ( -1), 364429735, 509531284, ( -1), 60520952, 968610932, 275229194, ( -1), 466173141, 512092285, 989628694, 6521236, 662896914, 721525723, 451059665, 987065630, ( -1), ( -1), 655819029, ( -1), 600753155, 635410130, 851148793, 609066766, 897509911, 306468451, ( -1), ( -1), ( -1), ( -1), 646281028, ( -1), ( -1), 912475505, ( -1), 952280688, 887178235, 431158991, 143544590, ( -1), 518148163, 361053919, 690692888, ( -1), ( -1), 715283549, 855390224, ( -1), ( -1), ( -1), ( -1), 601062178, 296526400, 365038387, 591310007, 434266224, 856365664, 205153743, 25813039, ( -1), 409958655, ( -1), ( -1), ( -1), 534675126, 796682923, 255430120, ( -1), 631616972, 945910, ( -1), 502428794, 895297623, 41353220, 517189474, 802549076, 874803784, 919730353, ( -1), ( -1), ( -1), 786580036, 582212336, ( -1), ( -1), 757549037, ( -1), 995919616, 87270063, ( -1), 972569463, 893106091, 764184818, 573526832, ( -1), 237269764, 369346660, 73742792, ( -1), ( -1), ( -1), 931590775, 61351219, 473958467, 132366342, ( -1), 406594591, 233875169, ( -1), 406228170, 653632853, 325703897, 977900632, 521227526, 567661398, ( -1), 446708270, 284422999, 857337677, 298597042, 791690936, 140861430, 992340081, 504441833, 491975611, ( -1), 613183003, 624775624, ( -1), 821856408, 830570148, 226004748, 163741212, 50468191, 361963179, 267477224, ( -1), ( -1), 916510708, 683623218, ( -1), 138796876, 824133137, 880114834, 262096133, ( -1), 579716950, 90629567, ( -1), ( -1), 581908817, 651055803, 495206866, ( -1), 662702554, 338395370, 619828248, 284037842, 820424753, 748590723, ( -1), 746999132, 516740628, ( -1), 356173198, 854536498, ( -1), 464344985, ( -1), 731357285, 414257637, 424380619, 892992089, ( -1), 710673890, 577119408, 522052407, 418769274, 157428828, ( -1), 214974367, 997843001, 778002619, 469115137, 721110794, ( -1), ( -1), 104686605, 99198431, 874410683, 377370071, 541900839, 215809459, 918224104, 30244635, ( -1), 103548068, ( -1), 914437901, 185889837, 880208083, 546523904, 801852223, 272868971, 845357898, 444631761, 806019884, 966515261, 595078722, 891894535, 975763086, 810003810, ( -1), ( -1), ( -1), 845256998, 155764960, 534429500, 703668726, ( -1), 580240050, ( -1), 519939573, ( -1), ( -1), 621977306, 939746291, 147600076, 743234282, 615171084, 764291035, 534060097, 533792742, 850057638, ( -1), 213466001, 37403311, ( -1), 287312632, 518663723, ( -1), ( -1), ( -1), 141711101, 529651946, ( -1), 120522700, 779380422, 635541575, 194094554, ( -1), ( -1), 983166040, 353954990, 170947723, 222257701, ( -1), 756094953, 954601816, ( -1), 38523069, ( -1), 97997947, ( -1), 976445138, 141355924, ( -1), ( -1), 377104771, 839016939, 821123414, ( -1), 516713382, 94089491, 571473859, 771410296, 497853169, 955972393, 218434102, 669402189, 420968664, 356753179, 565510066, ( -1), ( -1), 666294807, ( -1), 495787980, 914678346, ( -1), ( -1), 649410725, 274757204, 729606936, 559066277, 395272510, 833875, ( -1), 393816935, 20293043, ( -1), 700976916, ( -1), 981914838, 5404006, 732255406, 476979081, ( -1), 938113641, ( -1), ( -1), 706240745, 852369802, 758623154, 134008384, ( -1), 653956853, 433815418, 548166772, 422179982, 689664289, 730604419, 826643943, 82138098, 171303350, 914747500, ( -1), ( -1), 811489148, ( -1), ( -1), ( -1), 459887787, 629005668, 278123155, 168406724, 197429193, ( -1), 156750847, 509165390, 183729013, ( -1), 563793062, 377557962, ( -1), 643262718, ( -1), ( -1), 518475680, 944396960, ( -1), 621916054, ( -1), 196641484, 938953866, ( -1), 412836508, 405949953, 766302959, 229939249, 102162224, ( -1), ( -1), 121455593, ( -1), 361313432, ( -1), 406472146, 965259332, 66508855, 179081470, ( -1), ( -1), 791015315, 530438118, 784852160, 992648331, 666321309, 659378323, 933357070, ( -1), 209692874, 178386830, ( -1), ( -1), ( -1), 50355487, 385167862, 395984444, 80594312, 135634782, 379720606, 109195066, 165930702, 867467091, ( -1), ( -1), 736988232, 855093272, 574127981, 168997670, 4763882, ( -1), 312491610, 134198319, 766572475, 59782025, 746169023, ( -1), 841756239, ( -1), 678017680, 730073762, ( -1), 162599502, ( -1), ( -1), 296707720, 748789407, ( -1), 181044839, ( -1), 336189983, 187586258, 733724908, 150384136, ( -1), ( -1), 413999790, 432489807, ( -1), 749938710, 776469513, ( -1), 165152974, ( -1), 145984676, ( -1), ( -1), 609949811, 553342314, 899476511, 2183802, 432729572, ( -1), ( -1), 296864599, 458692718, ( -1), 151643929, ( -1), 920667465, ( -1), 213494314, 716126741, 423548740, 23524354, ( -1), 64521824, ( -1), 770823307, ( -1), ( -1), 107040191, ( -1), 183295438, 978341341, 802948341, 478585351, 996297453, ( -1), 129905928, 990031121, ( -1), 30073381, ( -1), ( -1), 643688578, 557385048, 399810206, 693330151, 573115185, ( -1), 786258087, ( -1), ( -1), 939944202, ( -1), 203751472, 232390745, 573382635, 349519640, 906034205, 989589700, 696116466, ( -1), 417878740, ( -1), 367232640, 223632668, 796926302, ( -1), 425393705, 76763038, 592273469, ( -1), 989549092, 531062227, 191393165, ( -1), ( -1), 662543427, 354410493, 272943524, 389949673, ( -1), 742433793, 862244503, 134175550, 629272515, 194525350, 335053325, ( -1), 859362271, 668436645, ( -1), 244761743, 934941919, 631027276, 349190875, ( -1), 9200841, 995804300, 595757889, ( -1), 533022852, 641765079, 652998550, ( -1), ( -1), 277441306, 158711220, 793566856, 205315724, 351880004, 741904567, 169811104, ( -1), 778672775, 382233300, 973098265, 294380046, 811291170, 50447579, ( -1), 215228805, 709412220, 863224294, 329966307, ( -1), ( -1), ( -1), ( -1), 954758187, 842948775, 278954004, ( -1), 380228924, 281266369, ( -1), 169433853, ( -1), ( -1), 61052969, 600747674, 853450939, 614205129, 293472093, 800700666, ( -1), 947071619, 32681243, 769609424, 461321890, 115815425, 934943950, 455014314, 413747405, ( -1), 337746850, 209594876, 362680780, 568869344, 9041405, 225223186, ( -1), 135693421, ( -1), ( -1), 816647895, ( -1), 710465057, 850780372, ( -1), 920910605, 260483204, 449984324, ( -1), 206301305, 359484871, 686752250, 784748775, 247714894, ( -1), 981584752, 243976819, ( -1), 6929509, ( -1), 93316622, ( -1), 962132833, 400980809, 756519504, 993998963, ( -1), ( -1), ( -1), ( -1), 533065396, ( -1), ( -1), ( -1), 876864150, ( -1), 727617184, ( -1), ( -1), 294276651, 84735549, ( -1), 755976990, ( -1), ( -1), ( -1), 53920753, 240747181, 422787237, ( -1), 174235532, ( -1), 743748957, 3409250, ( -1), 512100295, 727815743, ( -1), ( -1), 148949646, 995399338, 38543322, 888541885, 397974071, ( -1), 302292869, 880541720, ( -1), 642377357, 755531021, 524990417, 410429959, ( -1), 850933900, 579679715, ( -1), ( -1), ( -1), 911223099, 924702199, 504148297, 170908357, 96889564, 715610803, ( -1), 800282919, ( -1), 720810860, 129400094, 657901170, ( -1), 850511285, ( -1), ( -1), 941790915, 583673157, 734304233, ( -1), ( -1), ( -1), 611815255, 308146627, 231851653, 879099076, 103390533, 551932562, 266157414, 563666767, 24138325, 498056969, ( -1), ( -1), 480856560, 627273258, 451757412, 538152586, 452513536, 630542999, 152177502, ( -1), ( -1), ( -1), 537597423, 78210641, 39895787, 290244058, 442728102, 821345655, 146566674, 790096321, 876851095, ( -1), ( -1), ( -1), 656731445, 432421179, 208471622, ( -1), 530485597, 951073056, ( -1), ( -1), 729105958, ( -1), 448101059, 237459080, 739543977, 978523728, 662204661, 249664574, 465486811, ( -1), 496520874, 672036375, 98902366, 933581648, 539314471, ( -1), 212354174, 887037585, 834203141, 91520592, 14090519, ( -1), 750597952, 811339737, 881985929, 880648062, 297262766, 673144182, 588318177, 730058686, 418660671, 370180871, 174684786, 167929497, 306768170, 698286521, 731865280, ( -1), 80631705, 118471035, 748064516, 37280390, ( -1), 69362147, ( -1), 610638169, ( -1), ( -1), ( -1), 838520970, ( -1), 647314126, 516560380, 925340607, 318204978, 397966277, ( -1), 118090545, ( -1), 104235850, ( -1), 210404339, ( -1), 641028725, ( -1), 207006410, ( -1), ( -1), 732618703, 472892247, 452095830, 870093939, 209566777, 625029361, ( -1), ( -1), 511869022, ( -1), 116504218, 904533365, 119368509, 995226011, 90542747, ( -1), ( -1), 314251559, ( -1), ( -1), 285623050, 383411916, ( -1), ( -1), 601469203, 698930742, ( -1), 739530145, 49358304, ( -1), 688097087, ( -1), ( -1), 430803773, 338967621, 361377599, ( -1), ( -1), 409986688, 204382228, 629381146, 967290467, ( -1), 364641798, ( -1), 432368927, ( -1), ( -1), 622808498, ( -1), ( -1), 373384253, 526886655, 144073063, 758774652, 765234186, ( -1), ( -1), 587195495, 902874170, ( -1), 193191288, 24867152, 600394192, 704631798, 148116993, ( -1), 194235516, ( -1), 607519339, ( -1), 187392263, 734353724, 851113293, 803352098, ( -1), ( -1), 452531496, 746104921, 669668613, ( -1), 718066729, 559650860, 284262396, 661017438, 266366020, 673257202, 862168728, 56898728, 83292481, ( -1), ( -1), 867281416, 595836421, 443111178, 443233377, 363801779, 983663110, ( -1), ( -1), 381673824, ( -1), 74230753, 58828405, 348852261, ( -1), 561437869, 476466110, 513649928, ( -1), 973101584, 738980222, 656950021, ( -1), 283282257, 626628924, 542044961, 837814616, 363149308, ( -1), 585392718, 370944247, 240873039, 628014168, ( -1), 797411205, 40796821, ( -1), 111955207, ( -1), ( -1), 867940556, 74654584, 944463698, ( -1), ( -1), 161736161, 765768097, ( -1), 308975068, ( -1), 385565488, ( -1), 169589478, ( -1), ( -1), 490080946, 717457099, 234546855, ( -1), 146377679, ( -1), 519365265, 315812440, 676506638, 952186168, 764626728, 430779134, 429905159, ( -1), 621242076, 18786908, 319099577, 388547220, ( -1), 288457049, 487316469, 193870209, ( -1), ( -1), 609093635, 793758078, ( -1), 876302823, 438630320, ( -1), 49260264, 916083159, ( -1), 596699209, ( -1), 600288251, ( -1), 919799887, ( -1), ( -1), 649218189, 856299613, 749350882, ( -1), 744912386, ( -1), 124776834, 721779715, ( -1), 755556987, ( -1), 585167014, 100612340, 200385147, ( -1), ( -1), ( -1), ( -1), 767292120, ( -1), 237636226, ( -1), 285887488, 707523580, 431320088, 429440919, 636796316, 626311299, ( -1), 586217532, 380577423, 714526664, 178111391, ( -1), 559285514, 884157243, ( -1), 829740988, 864708583, 122975413, ( -1), 574671459, 902176902, ( -1), ( -1), 696311657, 152065984, 61519724, ( -1), 233622719, ( -1), 594900684, 561725863, ( -1), 318946416, 734813299, 882847415, ( -1), 481366973, ( -1), 987800414, ( -1), 536639322, 145805708, 494752955, 327066039, ( -1), 82445536, 82079921, 636629246, ( -1), 421098901, 718095676, 869807906, 969468063, 763484116, 126386150, 561888032, 870314212, 226023266, 393813794, 813043019, ( -1), 473521084, ( -1), 75592620, 828898830, 94030615, ( -1), 476837625, 641343941, ( -1), 288871716, ( -1), ( -1), 303983581, 293368260, 335744517, 81805245, ( -1), 821546779, 301880159, ( -1), 194016410, 746314187, ( -1), 708943603, ( -1), ( -1), ( -1), 326993727, 702311249, ( -1), ( -1), 489274855, 869658756, 923952576, ( -1), 901053897, ( -1), 333642515, 464455388, 543885922, 323859872, 979465799, 858902715, 955234409, 204808385, 940523027, 161324673, 441610755, 680754469, 913171668, 489041127, 569755893, 666256200, ( -1), 919832952, ( -1), 853812828, 759502127, 787534666, 392593944, 542343726, 670159733, 886951343, 249130235, ( -1), 258926105, ( -1), 40089551, 581608368, 208047232, ( -1), ( -1), 150483911, 32280461, ( -1), ( -1), ( -1), 843431390, ( -1), 960759903, 359041478, 518980953, ( -1), 56145581, 667483548, 195342757, 925907855, 518282040, 5175245, 78104499, 482905793, ( -1), 338340060, ( -1), 627008168, 890165133, 577844490, 75616889, ( -1), 337526104, 205374175, 623490276, ( -1), 382287714, 873299250, 552561144, 326125719, ( -1), 776932166, 795167471, 695661946, ( -1), 181382689, 662544559, ( -1), 264459354, 58640555, 967865221, 581604153, ( -1), 438351730, 953695836, 991537347, 65441781, ( -1), 361467622, 683647010, ( -1), 102688025, 904695038, 992068727, ( -1), 394743615, 658533226, 755020363, 525113774, 671789125, 474674233, 72786035, 368742303, 190908663, 728055204, ( -1), 827027698, 282413646, 152539408, 531966889, 95132878, 172577508, ( -1), ( -1), 749652780, ( -1), ( -1), 101066659, ( -1), 922139530, 881551026, 419967553, 274430104, ( -1), 965007650, 548017309, 578105314, ( -1), ( -1), 78766266, 659886705, 906809202, 343874323, 791863370, 231667363, 162812840, 749255116, 386131596, 681804214, ( -1), ( -1), 112981796, 32246175, 866878265, ( -1), ( -1), 705943038, 486593286, 162636161, 16298654, 572457022, 529125201, ( -1), 268431420, 836308046, 490828873, 585916484, 104168493, 83475606, 342677068, 669160287, 929430329, ( -1), 266372049, ( -1), 151830971, 498792661, 402981582, 773802609, 381351564, 654661242, 269449643, 166063799, ( -1), 905014801, 677907529, ( -1), 539117414, 869433400, 821987158, 242488307, 908391859, ( -1), 657608847, ( -1), ( -1), 1249742, 620760647, 535342217, ( -1), 153884066, ( -1), 220822037, 677253817, ( -1), 387104599, ( -1), ( -1), 778900173, ( -1), 716350371, 41549756, 244520913, 568952129, 272473984, 366239305, 237439337, ( -1), 162875068, ( -1), 816753925, ( -1), 335288079, 747161425, 171816162, 394303196, ( -1), 692267875, 666777005, 585989460, 499122301, ( -1), ( -1), 193949883, 589407580, 19095088, 885552950, 828073367, 7072168, 222264422, ( -1), 941009577, ( -1), 780663651, 936127098, 861614102, 70995730, 499591627, 95812537, 961286189, 477137401, ( -1), ( -1), 737168653, ( -1), 814341238, 170295260, ( -1), 510583631, 950359835, 704062277, ( -1), 428627525, 46193454, ( -1), 421587741, 346847852, ( -1), 82853369, ( -1), 747857955, 155930417, 491478170, 576793755, 969276740, ( -1), 751310442, 782785897, 846548691, ( -1), ( -1), 345607909, 89287421, ( -1), 46152567, 757567413, 70410857, 419720333, ( -1), 873486555, 213072450, 727691928, ( -1), 166993618, 813464747, ( -1), 674938417, 105077430, 167528805, ( -1), ( -1), 162704931, 591744175, ( -1), ( -1), ( -1), ( -1), 966130630, ( -1), ( -1), ( -1), ( -1), 247782321, 439406891, 273946504, 61111776, ( -1), ( -1), 116260657, 229210894, ( -1), ( -1), ( -1), 292283777, 586199079, 922333065, 521491130, 554813871, 53966446, 202254426, 643176319, 236490325, ( -1), 854747032, ( -1), 53994662, ( -1), 239978326, 102233221, ( -1), 347697106, 975392657, 533445311, 586625128, ( -1), ( -1), ( -1), 459490988, 806861520, ( -1), ( -1), 42564600, ( -1), 72959863, 569167886, ( -1), 892815449, 925273651, 678056095, ( -1), 245973881, 545905098, ( -1), ( -1), 971398826, 820690497, 643566944, 527795840, 917605581, ( -1), 327581095, 427075501, 568297194, ( -1), 667352952, 144568107, 463742977, 297173418, 154621936, 547219986, 916966089, 149361596, 250750621, 701310091, 133126765, 101997136, 294982764, ( -1), 931795556, ( -1), 650356276, 22948197, ( -1), 677560511, ( -1), ( -1), 67667462, 384863539, 792843727, ( -1), 214011591, 530796358, ( -1), 901294431, 721556216, 926098481, 736843096, 798759740, 311157941, ( -1), 231760831, 589113295, 10127972, 38996081, 660273899, 425528871, 33311257, 794710296, ( -1), 653390282, 509310711, ( -1), 619809710, 87987039, 794392163, ( -1), 561306999, 843204949, ( -1), 733823061, 454243538, ( -1), 32579961, 733437548, 919493683, ( -1), ( -1), 277450417, ( -1), 617707253, 557434934, 372584710, 506619779, 144292243, 225839204, ( -1), ( -1), 846353978, 482841184, ( -1), ( -1), ( -1), ( -1), 650616696, 787836745, 611118549, 384620438, 879124482, 860833313, ( -1), ( -1), 274180456, 348507336, 490050336, 487570041, 361848977, ( -1), 593869574, 322984895, 166827361, 273167803, ( -1), ( -1), 169019782, 29141221, ( -1), ( -1), 762058833, 174006595, ( -1), 110101908, 503065087, 621481296, 133237081, ( -1), 534894243, ( -1), ( -1), 288604084, 258842031, ( -1), 438969739, 758628973, 932519077, 909984497, 870241848, 279117772, ( -1), 759581762, 302736840, 279219761, 969112658, ( -1), ( -1), 414695869, 223867550, 872092002, 282883834, 89817501, ( -1), 585621956, ( -1), 926559997, 665762844, 982228746, ( -1), ( -1), 66654564, 856517430, 753653689, ( -1), 368606575, 476630210, ( -1), 363371749, 657187761, 135726667, 914990445, 204052520, 789942619, ( -1), ( -1), 686465140, 786023074, 379409632, 68130813, 588883741, 789177796, 884432078, 655347502, 711166484, ( -1), 304593121, 987449808, 668683610, ( -1), ( -1), 683635797, ( -1), 385747736, 325181734, 379995194, ( -1), ( -1), 596181181, 579968688, 173469928, 796209465, ( -1), 501739319, 633058326, 650753397, 476881314, ( -1), 571010403, 334415011, 260116792, 614964773, 855565617, 635451514, 624026117, 506562123, 857442493, ( -1), 873005157, ( -1), 716847302, ( -1), 931822113, 28325008, ( -1), 270504210, 192151110, ( -1), 389147852, 670531390, 134222096, 19824763, 851261481, ( -1), 29525514, ( -1), 375877190, 879216578, 125758042, ( -1), ( -1), ( -1), 565403657, ( -1), ( -1), 424082431, 824683934, 400138206, 438087489, 33743362, 981645048, ( -1), 953807539, 971646063, 277416921, 417535070, ( -1), ( -1), ( -1), 878650240, ( -1), 217512199, 780895591, 25961804, 1622885, ( -1), ( -1), 430865164, 212780724, 462694628, 627357483, 576361386, 851494627, 376786525, ( -1), ( -1), 917096895, 698208501, ( -1), ( -1), 985219210, 76836857, 209530313, 447890436, 384972521, 572429873, 500520994, 569323654, ( -1), 254864056, 942937175, ( -1), ( -1), ( -1), 179448532, 133338637, 96835155, ( -1), ( -1), 922517929, 130337613, 52667664, 405567140, ( -1), ( -1), ( -1), 618873363, 182152371, 434879661, ( -1), ( -1), ( -1), 491698336, ( -1), 694571807, ( -1), ( -1), 215451281, 497484071, ( -1), 237954028, 437627392, 721736168, 740612922, ( -1), 623534740, 234825363, 353506759, ( -1), 318871871, 414781473, ( -1), 264896922, 699956311, 988161470, ( -1), 845559733, 604288074, 631412870, ( -1), 268538055, ( -1), 922326654, 695432285, 749137267, 685309386, 793801352, 785853050, 718470605, ( -1), 723212224, 751131615, 716109914, ( -1), 298976380, 664793700, 595210405, 724846379, ( -1), ( -1), 254131492, 171865, ( -1), 448713838, ( -1), 198626868, 555839282, 871300119, 96537210, 467785200, ( -1), ( -1), ( -1), 315641114, 507424338, 77021148, 545034754, 651140577, 257144964, ( -1), 525226288, 319290012, ( -1), 460317523, 765415845, 766409874, ( -1), 777984762, 111954126, 167991946, 642486676, 806725548, 843378967, 503165291, ( -1), 202210967, ( -1), 248046367, ( -1), 382050383, ( -1), ( -1), ( -1), 860618151, 999385471, 305563837, 637751972, ( -1), ( -1), 733947585, 766126477, 714661378, 284585933, ( -1), 399163444, 430437422, 706518422, ( -1), ( -1), ( -1), 321773713, 327431139, 854798377, ( -1), 443321172, 629390956, 817548587, 365287832, 260570278, 671508658, 872005069, 40991987, ( -1), ( -1), 141387269, 319767766, 215026851, 932971876, 978784044, 839502670, 64536107, 296670745, 390402354, 606614804, 824725791, 221681653, 726316678, 908265368, 797586770, 591972968, ( -1), ( -1), 286415411, ( -1), ( -1), ( -1), 790043943, 523418325, 639343217, 582511002, ( -1), 945183369, 188633158, 382928798, 236595809, 174026011, 214782147, 734670776, 292318620, ( -1), 518742403, 462494840, 81609080, 906847699, 497122792, 839184464, ( -1), ( -1), 477966938, ( -1), ( -1), 258326290, 438629434, 519743094, 682501132, 521331535, 949528896, 612298368, 555824221, ( -1), 434540361, 128110060, ( -1), 525110326, ( -1), ( -1), 522843306, 922104219, ( -1), 956324636, ( -1), 170242478, ( -1), 225607274, 753623165, ( -1), ( -1), 874421858, 888787577, ( -1), 775714720, ( -1), ( -1), 276273389, 734773707, 764137995, 402519941, ( -1), ( -1), 613282950, 889266594, ( -1), 26926766, ( -1), ( -1), ( -1), ( -1), 300968957, 537830079, ( -1), ( -1), ( -1), 309476201, 731986580, 204947349, 972404807, 992149377, 565003823, 284338839, ( -1), ( -1), 579041831, ( -1), ( -1), 288357470, ( -1), ( -1), 801297632, 480775640, 32236775, 355764345, 934617171, ( -1), ( -1), 86804137, ( -1), 565401474, ( -1), 30939829, 180111874, 680135287, 624106818, 88218675, ( -1), ( -1), ( -1), 456878171, 213897629, ( -1), ( -1), 293736359, ( -1), ( -1), 358547446, 119621171, 584700151, 483300987, 993750050, 83262960, 202786001, 232962016, 313403573, 53308790, ( -1), ( -1), 890675134, 192908175, 611007001, ( -1), ( -1), 637751612, 686182997, ( -1), 486129570, 249025013, ( -1), ( -1), 607323678, 796200858, ( -1), 371215343, 479559742, ( -1), 960993882, 253740985, ( -1), ( -1), 732497788, ( -1), ( -1), 688159530, 451160010, 103397129, ( -1), ( -1), 84814451, 116861591, 734052183, 210026241, 601397995, 429053870, 827602984, 317194309, 229221167, 126789012, ( -1), 852033630, 682139449, ( -1), ( -1), 400149329, 600178799, ( -1), 603956350, 59406239, 289149569, 998015874, ( -1), ( -1), ( -1), 746498375, 743165843, 985375443, 683271018, ( -1), 789992041, 574698961, 310044068, 705706044, 35290488, 995648008, 368993397, ( -1), ( -1), 562781535, 330229131, ( -1), 658744717, 690400009, 212170428, 669018538, 265297488, 70920258, 695335702, 396791049, 897619378, 465611712, 975754528, 296245448, ( -1), 547208304, ( -1), 239590360, ( -1), ( -1), ( -1), ( -1), 628822648, 187200815, 23552355, 836086279, 479969376, 761490360, ( -1), 417470838, 284284302, 112057261, ( -1), 809484017, 692210115, 26128806, 607639368, 251449472, 369817016, 356547747, ( -1), 162907988, 532494780, 516311261, 812578632, 804821291, ( -1), 290167344, ( -1), 613491263, 66994035, 413177307, 405953690, 961328655, 703146454, ( -1), 165124628, 241865857, 183269239, ( -1), ( -1), 35841313, 637633567, 121270243, 398813798, ( -1), ( -1), 842450152, 648212906, ( -1), 452746757, 552969098, 226577998, 898836068, 310328361, 80269877, 5816632, ( -1), 425175156, 290271282, ( -1), 219877031, ( -1), 992612860, ( -1), 665034185, 467970758, 255385177, ( -1), 989212381, 754826524, 870802756, 398909809, ( -1), 892528951, 538529750, ( -1), ( -1), ( -1), 278037220, 883578111, 765403700, 38817110, 314125680, 529636520, 475221458, ( -1), 349783701, 772992343, ( -1), ( -1), 210190623, 576571927, ( -1), 646016851, 833922922, 85346205, 1142968, ( -1), 899122993, ( -1), ( -1), 650903032, 682250875, 639441478, 271132948, 108262435, 948429649, 178453025, 715327925, ( -1), 665557738, ( -1), 263780688, 445809654, 167371194, ( -1), 186087510, 250787281, 851310038, 369376788, 621366954, 523641693, 673550617, ( -1), 885224367, ( -1), 910978969, 772540310, 995637420, 303566872, 322207106, ( -1), 374066111, 784794297, 344414253, ( -1), 873236726, 933732251, ( -1), ( -1), 58840888, 755642991, 354955639, 950252055, 255131987, ( -1), ( -1), 761832739, 13182381, ( -1), 205333929, ( -1), ( -1), 33559181, 936790426, ( -1), 772207403, 18321234, ( -1), 739970796, 439132282, 435128382, 516397778, 672793822, 984964584, ( -1), ( -1), 293307143, ( -1), ( -1), 869083534, 974280959, ( -1), 700570902, 591355018, ( -1), 462323147, 992276244, ( -1), ( -1), ( -1), 161503264, 121101936, 393509404, 113660855, 755504506, 128307964, 708574533, 27536915, ( -1), 321270115, ( -1), 123014432, 393074635, 541490225, ( -1), 217484259, 549996887, 4721628, ( -1), 721059743, 219406527, 204687554, ( -1), ( -1), 352051348, 884748329, ( -1), 348012994, 781981149, 834476813, 833733199, ( -1), 438496323, ( -1), 874665419, ( -1), 543159952, ( -1), ( -1), 774534470, ( -1), 429124994, 647635805, ( -1), ( -1), 486630451, 7237582, 381370365, 689415658, 15699977, ( -1), 98912, 994412359, 214410775, 853062562, 477258908, 676348893, ( -1), 251183862, 970489204, ( -1), 640002110, 327494989, 261209732, ( -1), 279349530, ( -1), 166784342, 418598044, 181464953, 106760835, ( -1), ( -1), ( -1), 384950141, 739608900, ( -1), ( -1), ( -1), 883195949, 624185155, 562449883, 286191174, 254021731, ( -1), 154701818, 755170858, 995446398, ( -1), ( -1), 245541122, 58405997, 374969527, 662831664, 762137525, 769802732, ( -1), 252224128, 835010821, 429077329, 602696559, ( -1), 270701513, 615556300, 425070936, 847155482, 422797744, ( -1), 309939050, 394421635, 332633262, 100571302, 302939398, 470856345, 860656114, ( -1), 555632157, ( -1), 45148517, 271247456, 118032356, 772998807, 204717794, 320869283, 366661053, 529218936, 406342693, 13108032, 700353088, ( -1), 953860788, ( -1), 520430773, 960479656, ( -1), ( -1), 128367381, 201848888, 897916239, 542486986, 334182645, 728918788, ( -1), ( -1), 620483431, 578862770, ( -1), ( -1), 634033951, 384910900, 663465877])," 994313447 (minDifference [750354075, 333104895, 149585610, 913304939, 486884091, -1, 423409213, 619193586, 801032135, 23239194, -1, 960617650, 716568388, 454368596, 775346308, -1, 160838491, -1, 953206344, 528922884, 460852141, 789438249, 495190519, 762287796, -1, 895256185, 671333928, -1, 509490608, 45375807, 30748526, 45201715, 319337599, 305459524, 110103463, 415437222, 632683939, 807415592, 315902108, -1, -1, 386412863, 422717534, 191675962, 490771639, 483651298, 469143448, -1, 777708674, 568551760, 944851986, 768634633, 346180079, -1, 48897687, 11492079, 424165645, 724714816, -1, 800038304, 556233966, -1, 443551152, -1, -1, 657852597, 339792147, 264756176, -1, 591202430, 178507874, 863245265, 692740254, 571041122, 820448847, -1, 15048234, -1, 714128073, 975959336, 697135675, 107931238, 736438337, -1, -1, 647545167, 19589420, 726720414, 945260610, 359566994, 508867227, -1, 291035375, 354195654, 379918933, 14231756, 971529346, -1, -1, -1, 937135215, -1, 296020667, 314268656, 607989192, 692824692, -1, -1, 258206532, 278948505, 730402328, 146269497, -1, 927600825, 817150863, 203880242, -1, 487749729, 336535420, 242646779, 580015135, 661291099, 14497958, 438091043, 374515137, -1, 825329758, -1, 997438, 549989810, 231545722, 704253711, 61894509, 706670877, -1, -1, 100323418, 660879629, -1, 362981139, 701311619, 757211392, 432019754, 142831312, 841913770, -1, -1, 518180118, 192197812, 61801117, 652081046, 841953688, 590579855, 443306811, 337073301, 840489801, 573390284, 948586567, -1, -1, 951195659, 443870681, 742415060, 108738005, 273519060, 20194741, 76757136, -1, -1, 15101558, 139668628, 360688131, -1, -1, -1, 405901610, 31888203, 797024224, 971941902, 555764211, 306570246, 544030224, -1, -1, 444096767, 852360687, -1, -1, 332402522, 257494357, -1, 713593932, -1, 37021437, 793327639, 702066520, 593315312, 227271645, -1, -1, 700588003, 286212432, 586419829, 222517459, -1, 923341878, 264924778, 467114937, 524999435, 15069508, -1, -1, 766766332, -1, 279432189, 226271872, 850277791, -1, 894954363, 147005277, -1, 799161112, 423585761, 126929701, 12148437, 662736433, 703847740, 421864386, -1, 303861165, -1, 3505059, 627955267, 845914858, 984314272, 878415174, 783761631, -1, 623892091, 287794903, -1, 866845259, -1, 489176224, 934575336, 867137150, 869749387, 988817, -1, 481229889, -1, -1, 687241435, 634389314, -1, 48131765, 240189953, 189222866, 966200741, 73439369, 818620700, -1, 982502011, -1, -1, -1, 36689018, 791435649, -1, 328258874, -1, 998612506, -1, 391716054, 873505518, 467833288, -1, -1, 188421752, -1, 533631260, 557677902, 144144054, -1, -1, 640118945, 459949394, 238100375, 712072099, 443030912, -1, -1, -1, -1, 953848804, 783287336, -1, -1, -1, -1, 519976225, 434181421, -1, 135573903, 480053889, -1, -1, 198552093, 233249046, 77120626, 418969664, 423614790, 454564790, -1, 215052081, -1, 763497699, 673041746, 985641407, 849187599, 798920212, -1, 402432633, 721370438, 641427647, -1, 458968992, 540202952, 928310089, 252154342, 12455793, 697747332, 282600926, 139097985, -1, 615549972, -1, 744566208, -1, -1, -1, 662850577, 106648986, 587932569, 332930792, 656699169, 105436608, 577088404, 856277825, -1, 291881610, 550652832, 568239024, 770352970, 443942566, -1, 639330032, -1, 20721074, 208991011, 953138174, -1, 898949380, -1, 721044100, 448590842, 600747313, 462363354, 798782558, 875529077, 156270103, 597340205, 637730293, 333805304, 256310355, 30889384, 825909151, 752669278, 491366251, 101203404, 656890471, 289076131, 219843546, 930334747, 541090192, 292587792, 162011564, 37152022, 28272282, 729979471, 802781092, 761201204, 562258755, 557705877, 349312432, 482385039, 28609843, -1, -1, 201891463, 793322026, -1, -1, 946112315, 843096449, 812377714, -1, 507345175, 666077813, -1, 722427230, 894887547, 795281320, 296449808, 695190480, 678196712, 139702985, 643260614, 180444616, 838239613, -1, 698311433, -1, -1, -1, 535675103, 951232355, -1, 9626561, 620347530, -1, 209216605, 676342788, 79939000, 678785610, 471819049, 17164808, 878074012, 212114659, 217901083, 390786861, 327924944, 748583654, 48150951, 373676068, 284242782, -1, 806777596, -1, -1, -1, 557486029, 416711372, 656827237, 632923372, 866360231, -1, 773047351, 385941787, 463976124, 635721685, 45956147, 256605937, 285495877, 473808119, 799118708, 487725886, -1, -1, 376982869, 340886155, -1, -1, 734871035, 882374002, 633300897, 255709935, 296413218, 147532429, 219741926, 668934632, 568215810, 511769414, 67466, 273860078, 828479508, 853043798, 17436933, -1, -1, 865367859, 827416730, -1, 771130767, -1, 565550952, -1, 697649475, -1, 965071147, 849090481, 627931657, -1, -1, 205769109, 770764257, 247569857, 602162069, 112646521, 112965731, 855161862, 797577511, 352762304, -1, 905818660, -1, 554517391, -1, -1, 608707510, 434107482, -1, 904666592, 387223065, 171017980, 814739570, 542544871, 611002773, -1, 408050485, 952759979, 949574216, -1, -1, -1, 605047321, -1, -1, -1, 862675932, 463129576, 206416067, 517762724, 879866672, -1, -1, -1, 218767642, 140748632, 477472666, 714179334, 994339161, 547152318, -1, -1, 788061060, 829504394, 110623548, 618294193, 901445089, -1, -1, 821483952, 944996696, 938825580, -1, -1, -1, 908263320, 436846300, -1, 571880916, 886804164, 539432085, -1, -1, 306835362, 470423228, 46093320, 896807301, -1, -1, 208010925, 430774292, 392672418, 15525366, -1, 827023685, -1, 676998921, -1, -1, 306466277, 904903598, 165845036, 770434260, -1, 892162555, 766564505, 671196283, 805854473, 613140238, 733045421, -1, 870958769, 436796713, 807542616, 855636650, 420618120, 851353404, -1, 822487788, 18862516, 572986760, 820721087, 727717680, 529468732, 418525315, -1, 425334640, 937433740, 386513178, 105984388, -1, 827375171, -1, 427691325, 282125385, 523713173, 699132149, 974211565, 59995414, 287633500, 796182946, 723521899, 19174997, 847582730, -1, 641380290, 971867625, 590667840, 52725209, 735128660, 688930420, 893892921, 963822978, 933878988, 401264820, -1, -1, 948216471, 379860703, -1, -1, 188044767, 955787523, -1, 616000179, 217185936, 662950529, 321664031, 340261068, 404253707, 256350455, -1, 555985130, 399723792, 679495205, 625897476, 212895037, 261912157, 508617808, 10036501, 802066995, -1, -1, 255104663, 467743793, 428388511, 936223830, 751572182, -1, 536113077, 400008598, 720065979, 656648934, 166470276, 438933203, -1, 302709769, 642650576, -1, 406609353, -1, 296677455, 775247678, 520984395, 59358564, 73208163, -1, 732381225, 444949374, 403068988, 644124270, -1, 363698871, -1, -1, 35625601, 581938905, 583582134, -1, 138037244, 345108693, -1, 746443795, -1, -1, -1, -1, -1, 110356926, 51287992, -1, -1, -1, -1, 473789710, -1, 579482037, -1, 770228050, -1, 351695680, -1, 607851507, 249505476, -1, 262685777, 732588021, 5447358, -1, 911723316, -1, 387192321, 643279012, -1, 302534656, -1, -1, 453294651, 183892906, 216122066, 138952695, 742644018, -1, -1, 840635936, 997137547, 711662625, 287003633, -1, 820829570, -1, 644732399, 736229532, 432315174, 771798991, 283475163, 6855074, 29662979, 106632798, 144978703, 635654468, 826166366, 820825743, 57014518, -1, -1, 699737230, 525978255, 333327056, -1, 962107695, 793192838, 429100972, 981988194, 138619976, -1, 881892735, 490003640, 777904600, -1, 308713639, -1, 918936982, 96375201, -1, 75761825, 379426270, -1, 351950566, 367282296, 888953856, 865139070, -1, 291027995, -1, 269754590, 26255766, -1, 841549022, -1, 191037297, 103944367, 983353834, -1, -1, 491708922, 505714992, 367294561, 975460304, 393774254, 681278546, 188052591, -1, 577829113, -1, 668779, 610828936, 262817604, 705010433, 566054827, -1, 752615809, -1, 492454013, 293692429, -1, 610781428, -1, 920142205, 657343286, 535808064, -1, -1, 194717565, -1, -1, -1, -1, 463124855, -1, 374274136, 427068840, 848492330, 758125992, 656722101, -1, 638333492, -1, 228803182, -1, 440412624, -1, -1, -1, 564429328, 186971044, -1, 368359821, 132731499, 987433199, -1, 806074967, 573320952, 736902215, 411125324, 585302394, -1, 403812371, -1, -1, -1, 971474208, 693008351, 386663718, -1, 70894880, 833854966, 106630467, 977919852, 192929687, -1, -1, 260706598, 219969115, 48179921, -1, 514454345, -1, -1, -1, 428467592, 861922112, -1, 464641229, 482312275, 601649387, 314291501, 857137342, 696841860, 285371297, 719523237, -1, 336100322, 915616569, 580789430, 311214512, 928454783, 755345646, -1, 519517943, 483375174, -1, -1, -1, 105745046, 944563433, 257315202, -1, 215407877, -1, -1, 542227517, 924606065, 66140737, 105833010, 425484002, 68106932, -1, -1, 134970077, -1, 718177063, 274241218, 365909221, 255997653, -1, 115270305, 88207043, -1, 211574307, -1, 691031884, 512174236, 481607971, -1, -1, 469220356, 4627849, -1, 960117910, 16250651, 361258512, 779903339, 287542391, 440812924, 540626085, 559172529, 704236445, 884908520, 472055869, 697010982, 580130269, -1, 864816255, -1, 425634503, 17369772, -1, -1, -1, 893912459, 956909298, 837701818, 884008890, 880726960, -1, 600685155, 995414792, 116758441, 771008860, -1, -1, 579876401, 734660674, -1, -1, -1, 427129225, 23809459, -1, 130008384, 741341664, 29131661, 921216409, 517600299, 855715893, 764401744, 696279761, -1, 627772398, 175240797, -1, -1, 61367115, -1, 984678999, -1, 877616305, 571488045, 262541823, 746070267, -1, 904925412, 960212269, 257953461, 430831144, 237311733, 459270918, 826780159, -1, 853451881, 318567497, 900377655, 173306803, -1, 248075150, 412598265, -1, 201854112, 638325000, 536512772, 57507468, -1, 322729508, 515661709, 646561106, 164202826, 100442316, -1, 234618604, 210796932, -1, -1, 855995710, 298669687, 835808494, 81867528, 70434601, 648608977, 774281964, -1, 461352867, 589897246, -1, 272345520, 846908295, 925824497, 127469997, 715485919, -1, -1, 833100738, 708007578, 224135339, 330713043, 711480515, 892719838, 221189804, 229492797, 374737556, -1, 804409658, -1, -1, -1, -1, 473949326, 265298193, 690539182, -1, -1, 485880181, 108931227, 456749260, 676986283, 193580795, -1, 139141004, 176296091, -1, 696630221, -1, -1, 405629303, -1, 838157309, 972247761, 199753147, 118185924, 800155868, -1, 900662973, -1, -1, 923850164, 282959658, 984887658, 246574123, -1, -1, -1, 723477645, -1, 267348223, 118755819, 360168867, 758766842, 679139790, 389909373, 811635824, 365839008, 756838476, 652476124, 250237833, -1, 81135880, -1, -1, 871229793, 978301658, 199431078, -1, 307989396, -1, 705136478, 930677560, 147780599, 849413727, 198165153, 276925018, -1, 391790864, 362163022, -1, -1, 627342874, -1, 863088743, 644920104, 750726082, 209165074, -1, 448026701, 28481707, 985268378, 89619551, 386834524, 39026153, -1, 831018424, -1, 308265140, 993747400, 351061721, -1, 460644664, -1, 382233442, 121812234, 753764203, 646992960, -1, -1, 865219106, 144817510, 220763040, 112471804, 322901428, 963448303, 670367409, -1, -1, -1, 239304507, 806922611, 965757209, 492966680, 618115641, 578509822, -1, -1, 939898143, 298950396, -1, 679223493, -1, -1, 347745097, 402711770, 902828911, 175931967, -1, -1, 683655236, 856841745, 926922521, -1, 402301107, -1, 124488035, 523089174, -1, 898662342, -1, -1, 119019550, 740700393, 381758455, 508914983, 797546213, 800544027, 422397333, -1, -1, 297465749, 303074932, 962003897, 861579022, -1, -1, 300541754, 437156155, 55921672, 353595266, 840271654, -1, -1, -1, 796306735, 596706145, 808562593, -1, 162745888, 713327921, -1, -1, 618833454, -1, 29171227, 797898758, -1, 122525166, -1, -1, 586791531, 272464198, 6753662, 610250610, 337965106, 526881859, 829100540, -1, -1, -1, -1, 990477433, 789195411, -1, 803208641, 511077415, -1, 682042406, -1, 384727057, 618668751, 10585914, -1, -1, 280325842, 962681556, -1, -1, 127277983, 29170238, 322062291, 329693743, 705915788, 512387928, 45037026, -1, -1, 875655908, 505530765, 232761648, -1, 173174742, 912413804, 896119662, 729251521, 899227580, -1, 39844031, 627847231, 976523753, 332019405, 378414034, -1, 591375495, 967276363, 833672584, -1, 534729125, 106746204, 897208309, 226871715, 479119517, 897536012, -1, -1, 923448367, 586057931, 725097053, 5966449, 516992503, 741377839, 469198322, 611427099, 441404882, 865299064, 826982215, -1, 517477140, 569054790, 483063266, -1, -1, 258825422, 706896522, 16426698, 598014292, 829121394, 628434961, 767344476, 27572270, 486005887, 731802347, 325492852, 421012603, 524482150, 723011972, -1, 95932095, -1, 693544106, 569319296, 898792863, -1, 292665739, 322050938, 832249864, 957970521, 527124045, -1, -1, 104602051, -1, 731670845, -1, 137439164, 779641232, 931145307, 349033237, -1, -1, -1, 237988484, 497377777, 836031626, -1, -1, 988403096, 668308836, -1, 895724894, 365638675, 216111061, -1, 332444650, 158678387, 626950666, -1, 71439817, -1, 818832081, 826147219, 159777918, 807213080, 710362698, 147963923, 572142136, 407699692, 916303783, 986807105, 649426031, 502198542, -1, 37092997, -1, 147167743, 756688388, -1, -1, -1, -1, 981353250, -1, 228682838, 449402753, 661890742, -1, -1, 637321413, 16898555, -1, 145604192, -1, 724536218, -1, 637030353, 544898522, 72585419, 416940982, 844839487, 560486891, 962649268, 43698562, 36924304, 275327175, 706723482, 686914737, -1, 917532369, -1, 416478795, 939633202, 948450648, -1, 623891906, 791917000, 183170756, 812910943, 452980484, 970775972, 981903389, 927103729, -1, -1, 715982722, -1, 247916542, 353735488, 39664245, 787445634, -1, -1, 570836180, -1, 777866187, 81342851, 704409689, 856915013, 681433908, 71271248, -1, 118988656, -1, 967201910, 753187886, 319403112, -1, 783101313, 10409907, 707687077, 182628077, -1, 704083729, -1, 185643964, 885963505, -1, 87651731, 972359628, -1, 708999754, -1, 637985120, 47133065, 125999243, -1, 577618405, 804525174, 324260937, 468810209, 941883191, 369585036, -1, 268501219, 922855723, 880717927, 850270823, 428482330, 114280597, 197875885, 664903199, -1, -1, 908338293, -1, 740794911, 241916062, -1, -1, 170248049, -1, 877113010, -1, 923445406, 908856852, -1, -1, -1, 510679340, 150457514, 731098991, -1, 945766996, 741190620, 530190997, 953425430, 864608330, 829610285, 478044835, -1, 670637378, -1, -1, -1, 485847853, 56195261, -1, -1, 313243410, 833858095, -1, -1, 431201474, 128704288, 178581251, 675812518, 729459304, 539502012, 512094841, 883985687, -1, 725098305, 842691559, 382451459, 839599913, 825130392, -1, 668540943, 216287015, -1, 393319955, -1, 630349894, 119416819, -1, -1, -1, 434748664, 121171200, -1, 194672495, 58046221, -1, 669031497, 994505269, 307952665, 772027181, 507950381, 923506876, 532961037, 531631870, 391232359, 652962403, 982523988, 647194936, 266722041, 658398592, 700782408, 354830056, 731769892, 496161897, 19278479, 138535861, 456810365, -1, 414747567, 330395496, -1, 759230412, 202310004, 90227590, 877586435, 30806249, 436751945, 538364233, -1, 414436403, 711380544, 698122919, 122044876, 269660091, -1, 169532968, -1, -1, 501914885, 615922967, 598046996, 175043950, -1, -1, 128923162, 471354361, 993944067, -1, -1, 38254036, 822826910, 478856262, 676868350, 750037574, 764542833, 77923081, 919861779, -1, -1, 158920947, 60933070, 142226568, -1, 740992775, 603934409, 205912483, 336245910, 314063613, -1, -1, 140491907, 254600523, 789351093, 985153144, 750581140, 808516685, -1, 599388614, -1, 672959369, -1, 728255075, 528382203, -1, 238261592, 953125437, 466539267, 739466873, 968253890, 708802508, 408054272, 916242117, 567549192, 886158890, 922849320, 442951227, 358457920, 146896948, -1, -1, 314842719, 385187242, -1, -1, -1, 438489919, 459087512, -1, 463535316, 339204214, -1, 140760548, -1, -1, 231255049, 290771328, 481692191, 946957558, 201548081, 662369398, 837731038, -1, 225226527, 522096489, 141870674, 637025091, 958198750, 179540111, 529772779, 992242199, 756938124, 965238024, -1, 414247458, 665541124, 532007757, 80999572, 640920250, 382493096, 754919876, 781367249, 193078532, 571112994, -1, 53317117, 651878779, 780343443, 844841660, 136276224, 836280907, -1, 689534003, 955369795, 197702567, -1, -1, -1, -1, -1, 408017406, 298584609, 724396105, 515387955, -1, 949930739, 244211089, 35870021, 44975677, -1, 407212851, 260209996, -1, 229323784, 260222389, 683801496, 80681649, -1, -1, 350687380, -1, 963741063, -1, -1, 565917236, 650617996, 437828603, 228984967, 462704835, 525259863, 731955264, 27437196, 62666482, -1, 472740370, 863488174, 347093266, -1, 408038339, -1, -1, 155780366, -1, -1, 278112408, 686281155, -1, 305187190, -1, 984683792, 652375441, 124382083, 809450511, -1, -1, 699556805, 125980680, 860106091, 499079983, 449436807, 640886442, 427936789, -1, -1, 961926724, 797820910, 260667552, 184386604, 618080988, 780739778, -1, 650135028, -1, -1, -1, -1, 717433620, -1, 665824804, 800360804, 785178002, -1, 73068862, 74202335, -1, -1, 273560890, -1, 669754308, 756579719, -1, 499911658, 489852592, -1, -1, 442127650, 9704780, -1, 175384821, 102215764, 477505882, 708848908, -1, 676294290, 672062132, 326913525, 98956421, -1, 762220915, 26800616, -1, 524097887, 78127206, 342153920, 256376961, -1, 921214262, 863029912, -1, 893093382, 520967740, -1, 626171527, 635561361, 342251320, 112727468, 27632903, 57234649, 856215379, -1, 272920752, 518079198, 372817144, -1, 356597181, -1, 248457048, 674743938, 844859247, 784270709, 153337399, 200019402, 208068253, 586329147, -1, 359435506, 205857879, 263962108, 825633696, -1, 256149900, 287658865, -1, 249767691, 170484002, 382656694, 649352932, 463153817, 421268136, 911888153, 33149582, -1, -1, 548301835, 571003132, 71559406, 210199914, -1, 502791875, -1, 858317447, 386550158, 124512102, 835258634, -1, 739436818, 667758187, -1, 506395720, 291331093, -1, 286569545, 479217907, 878487706, 888737496, -1, 19397431, 881993886, 239008580, 73108231, 249868603, 116678062, -1, -1, 264430479, 716754174, 85074312, 763597371, -1, 350011140, -1, 847274174, 963441691, 134209802, 545898460, 353933337, -1, 417084740, -1, -1, 805863709, 279486834, 995936378, -1, 632776382, -1, -1, 636627654, 623931975, -1, 435482931, 727330904, 448836666, 441720077, 145395959, 871566011, 500194788, 650624368, 55056607, 690125471, 470467945, -1, 998521551, 221231876, 418930738, 382813246, -1, 323840253, -1, 688746627, 204211557, -1, 263336498, 178976702, 755605134, 510808892, -1, 727105520, 867165783, 684525097, 809931809, 265590711, 517637727, 432478803, -1, 717020513, 401121786, -1, 259091820, -1, 579514074, 662956660, -1, -1, 388399390, 779733379, 353571089, 81755138, 217955488, 906604955, -1, 679648358, -1, 250906826, 12551832, 280593555, 230271029, -1, 342735616, 340592500, 884957251, 202479759, 627433486, 462157190, 176159316, 361001901, -1, 337456042, 902291263, 941610783, -1, -1, -1, 704529115, 241744431, 857966711, 261043933, -1, 206220646, 246060387, 979257642, 570782167, 595795401, 366810644, 340327460, 144992464, 530889850, -1, 20424616, -1, 775863455, 490431252, 540867740, 730973157, 677031664, -1, -1, 439035922, 608384731, 892956630, 133545049, -1, 639703873, -1, 386405226, 684059410, -1, 841991951, 554601623, 781954222, 46889377, -1, 240296276, 429065414, -1, -1, 378175459, 735260571, 194984113, 2146894, -1, 718735040, 822977919, 859131776, 826639047, 941723184, -1, -1, -1, -1, 34475419, -1, -1, -1, 231101754, 221658704, 423540860, 916071173, -1, 507118879, 978862853, 296348512, 5552742, -1, 926328674, 571804440, -1, -1, -1, -1, -1, 498732529, -1, 111520325, 351879607, 312270878, 938063125, 409970055, 520545092, 727840026, 908511399, 270993333, -1, 923769625, 396860615, -1, 974513801, -1, 74737388, -1, 336585823, 4944815, -1, 878971288, 210551578, 757223060, 78431043, 621482404, 740711227, 184978936, -1, 373797863, -1, -1, -1, 110716603, 44423328, -1, -1, -1, -1, -1, 231086938, 301185242, 76246437, -1, 516885674, 6143360, 510699551, 989030711, -1, 130855602, -1, 319769301, 742526640, 504028464, -1, 609447488, 290254145, 474079988, 769386330, 543998370, -1, -1, 279283099, 526136905, -1, 501591545, 788628171, -1, -1, 658755686, 603206354, 67885964, 69087376, -1, 957486210, 731452191, 330530331, 82160963, 178969606, 999877061, -1, -1, -1, 655451617, 368735677, 753512107, 371126723, 242311690, -1, 813982137, -1, -1, 228576867, 38992364, -1, 950014489, 434416347, 119669392, 614731772, 441672359, -1, 31840131, -1, 92489662, -1, 1849695, -1, 159984720, 38395317, 382303725, -1, 88418996, 726712381, -1, 488106700, 484003856, 10311040, 834237355, -1, -1, 277802386, 99322939, 746387384, 80744996, 507952979, -1, -1, 361314606, 80503307, 887277261, 489237999, 771030111, -1, 723114861, 869056748, 991293505, 115518878, -1, 971876534, -1, -1, -1, 523210210, -1, 138436945, 705886032, 419711176, 209874178, -1, 619662468, -1, -1, 389662252, -1, 899937668, 528665397, 61727489, 889774212, 835847002, 94366597, -1, 853238109, -1, 52675063, 888534843, 212677361, 979923001, -1, 326535249, -1, 336341347, 849156923, 100407815, 416218530, 844032012, -1, 203862480, 267649786, 858299815, -1, 227747826, 502915368, 293088287, 635309526, 702935609, -1, 26994251, 402240977, 696390150, 39076243, 816888096, -1, -1, -1, 234937373, 124272216, 394680510, -1, 66112469, 931256392, -1, 286067124, 664542819, 454019682, 597864897, 932252442, 863155529, 144270752, 161859795, 431314647, 909863078, 750740982, -1, -1, -1, 292472340, 217016126, 61384903, 468762231, 846790666, -1, 246412320, 71196452, 88195763, 130854205, 948352034, -1, 805114558, -1, 353842241, 584567765, 543674950, 301470357, 623632899, 411423333, 850440881, 210274423, -1, 254362593, 532106090, -1, 196179192, 406787642, 181839900, 737210494, 281882555, 527451255, -1, -1, -1, -1, 751117371, 384809182, 648084646, 938130328, 687295195, 716239065, 59948736, -1, -1, 673419592, 843895040, 401341035, 2986730, 309914428, 662302095, -1, 55289899, 653643041, 194853252, 793514697, 976219621, 863964685, 634328077, 151124429, 412082851, 641479414, 997592943, 717438081, 952053940, -1, -1, 239215869, -1, 163427197, 592407780, 28025149, 236195710, 227822811, -1, 480368300, -1, -1, 22374740, 800223353, -1, -1, 669219343, 946515147, -1, -1, 956551891, -1, 612736934, -1, 887957751, 461597463, -1, 122058814, 406778548, 645572970, 473937483, 288744806, 144999099, -1, 267435605, -1, -1, 570675525, 865370941, -1, 595152499, 41029823, 333623012, 622732788, -1, -1, 859780524, 133885337, 559500961, 716139606, 310793477, 728501283, 907694891, 140657956, 579916631, 716225273, -1, 185305124, 918354528, -1, -1, -1, 526409380, -1, 818417678, -1, 383979595, 902740556, 708590529, 339901618, 223480987, 382558516, -1, 529341265, 718278144, 41811185, -1, 6183142, 63654396, 420376880, 956455356, 495892516, -1, 958444690, -1, -1, 66139860, 254159442, -1, 374610303, 777452342, 234819242, -1, 55963918, -1, 281278518, 161173869, 138715310, -1, 775088161, -1, 635768556, 850847860, 90142381, -1, -1, 173767155, 874736589, 100179266, 604429031, -1, -1, 632518111, 532737987, 601891413, -1, 342187942, 25768234, 180349549, 578692023, 801568322, -1, 730457014, 348395364, 775939070, 850243978, -1, -1, 526157079, 526928077, 776649953, 635440430, 760672962, -1, 542351021, 70615693, 356215615, 66888804, 759173124, -1, 539073059, 364621720, 121252797, 70411247, 208235092, 511729843, -1, -1, 516882592, 326644454, -1, -1, 63953251, 859599633, -1, 973220759, -1, 858658817, 813755469, -1, -1, -1, 780105475, 365323819, 740885997, 965298398, 945074452, 858907480, -1, 779186610, -1, 865574154, 960924459, 222608943, 164903270, 23363326, 340871065, 695149976, 906664750, 358110413, -1, 73519291, 850400776, -1, 2423788, 753351296, 278348891, 496500265, -1, 280181446, -1, -1, -1, 875251717, 243564578, -1, -1, 532996890, -1, 473881218, 810461496, -1, -1, 143735678, 479890996, 265458041, 36893457, -1, -1, 114398674, 72949388, 347149185, 151142582, -1, 503753647, -1, 573480615, 127406764, 416793283, 817586655, 352106619, 698960718, 200533362, 264476248, 934734891, 834016929, 968475756, -1, -1, 124940333, 313987720, -1, 862607813, -1, 104669555, 273547136, -1, 863982108, 524398456, 92542225, 516350390, -1, 314055475, 763984503, -1, 502497596, 192829619, -1, 150762385, -1, -1, 125810751, -1, 261716868, 977704616, 874753260, 763435966, 8014525, -1, 68386118, 651354051, 51185904, -1, 420113132, 37684875, 7564044, -1, 28683971, 315178189, 288648340, 700166268, 344206642, 279584679, 972805149, 357802496, 251695339, 928393609, 434714647, 802222067, 281953828, -1, -1, -1, 75817195, 898519429, 930864070, -1, 213963127, 271525586, 980938969, 944282929, -1, -1, 758033370, 292802306, 937692615, 105989084, 724849075, 3906897, 832968926, 651015246, 157491595, -1, 452823684, 692325177, 78039419, -1, 674926193, 781072373, 444451178, 581511719, 563256610, -1, 703150739, -1, 58789002, 825267504, 786868605, 664826918, -1, -1, 705208754, 620640733, 309989253, -1, 366115813, 465143304, 913078133, -1, 167086944, 756326614, -1, 324473997, 372129366, -1, 409607488, 350395874, 606017565, -1, -1, 416949584, 190842304, 706908937, -1, -1, -1, -1, -1, 736625041, 936326908, -1, 310872601, 166982155, 273241182, 129777766, -1, 50965182, 29058376, 465662597, 728503503, 94497880, -1, -1, 586704737, -1, 966007569, 627877364, 122397848, 144288070, 205773974, 608650130, 413148253, -1, 626414347, 580396013, 139897373, -1, 745691703, -1, -1, -1, 332996341, 561552136, -1, 527172837, 264357556, 887934141, -1, 568020318, 897306876, 414245701, 476646015, 823645384, 43133107, 13666992, 656485240, 8331086, 630101695, -1, 666457377, 226455977, 101529662, 698681804, 830468408, -1, 137238084, -1, -1, 458330870, -1, -1, -1, -1, 899135885, 237113967, -1, 990824031, 335169182, -1, -1, -1, -1, 333075482, 624375084, 96354584, 940927438, 753429368, 211310971, -1, 271353173, 438538799, 228167582, 187263710, -1, 791575287, 598939494, -1, 677048265, -1, -1, 327898919, -1, 351894578, 342477602, 690170647, 247777566, -1, 478230522, 747917357, 653325774, 83509174, -1, 262768135, -1, -1, 195235856, 425966271, 514000923, 903064665, 320119194, 16750568, 971656781, 191669137, 883095783, 151598173, 619039788, 127115439, 723101034, 835075491, -1, 358290701, -1, 52602282, 885770747, -1, 209281327, 671664208, 246377727, 806082339, 605308468, 732847326, -1, -1, 454088579, 88965233, 196216453, 833187945, 359466155, 524581751, 308836639, 33963217, -1, -1, -1, 740469310, 27701226, -1, 417317413, 716321475, 878362721, 533778149, 746793760, -1, 488224497, 499366645, 588366592, 595107074, -1, 712625802, 527453014, -1, -1, 571202785, 463750179, 734722552, 728314232, 969980448, 275457963, 895518567, 658050698, 693033910, -1, 374474931, -1, 46725063, 613076197, 850623573, 743142810, 936341455, 440290546, 85931518, 184407560, 741020584, -1, 716322760, 959727988, 623119764, -1, 527473590, 955709968, 695861984, 242480324, 764514617, -1, 811412753, -1, 49806084, -1, 572374686, 482994963, 617920415, -1, -1, 610933215, 744251732, 790202040, 884608874, 352277853, 20630581, 17217513, 889041012, 76900311, 643665774, 15668700, 340021134, 369286506, -1, -1, -1, 668736415, 120459879, 897765864, 330983384, 290507663, -1, 192825445, 518070452, 779796419, 728938404, 690897319, 897941303, -1, 858422114, 610738933, 548341673, 916464776, 125348153, -1, -1, 907239209, 403859711, 12835012, 653741274, -1, 351071233, 663734176, 274072066, -1, 370392366, 20461287, -1, 17922258, 307886580, 410470557, 648103805, 4796112, 359065949, -1, -1, 757240005, 961159001, -1, -1, 591917372, 163824651, -1, 925068158, 115515647, -1, 957807671, 998745540, -1, 259314938, 811081613, 393374808, 302790049, 614635575, -1, 128689943, 283455769, 802500961, 745775354, -1, -1, 326317107, 394271359, -1, 479736877, 383432954, 773451271, 801519545, 16362918, -1, 905634330, 501895784, -1, 368389778, 617847046, 195860519, 422104643, 343033902, -1, 443690364, 172108823, 856216696, 85671746, 792911189, 452691160, 388532513, 580363683, 488287625, 796014079, 790117548, -1, 868808154, -1, 549564588, -1, -1, 108163677, -1, 129807029, -1, 537742721, 351304162, 584024026, -1, 927007570, 755708758, 946006123, -1, 559880802, -1, 292314147, 143417979, 6835219, 668580131, 331220409, 557703550, 753978350, 753049991, 8008656, 106200001, 674569224, 419294051, -1, 198076649, -1, 735298647, -1, 546185211, 482935408, 858464188, 390618867, 614600846, 367504664, 323635918, 451422598, 666380792, 775433415, -1, 494745973, 178960944, -1, 896213834, 432610938, 194866271, 617470037, 390301485, 581088030, 897176070, 743248404, 100733661, 704410320, -1, 39628782, 574130739, -1, -1, 725948663, -1, 685112169, 137879462, 487107003, 814008, 276561210, 905937510, 834733220, 582847209, 970277444, -1, 453144720, 860869219, 889675510, 924488003, -1, 75238270, 877936945, 986495775, 911830887, -1, 389805423, 235588717, 118137941, 837006245, 593838313, 51913602, -1, 164140398, -1, 813411435, -1, 621461887, 341006074, -1, 365531416, 413878107, 207287131, -1, 494930861, 737139323, 847570735, 99327423, 382092750, -1, 902102511, -1, 889344290, 5056772, 149908992, -1, -1, 557536692, 455079439, -1, 524553987, -1, 762583173, 977325920, -1, -1, 423968953, 403522239, 536281073, -1, 679058285, 176726530, 25699106, 956502059, 678720964, 611895108, 421551376, -1, 982773066, 650479066, 21203487, -1, 771587049, -1, 827462477, 225885454, -1, 743324134, 19922189, -1, -1, 494986793, 920917945, 151656460, 228051698, 221522240, 910248829, 94828645, 199737443, -1, -1, 919312078, 132792180, 707286952, 405457681, 952247968, 509320630, -1, 571620181, 276308342, 724989461, -1, -1, 506971183, 355550432, -1, 53941849, -1, -1, 708120725, 971680542, 119186109, -1, 5335395, 302772339, -1, -1, 659892798, -1, 158127246, 804178415, 735350288, 433868158, 743980784, 455620705, 591939466, 668709549, -1, -1, -1, -1, 654118633, 302297326, 53446069, 266134849, -1, -1, 257224009, 212037142, -1, 721549968, 459185919, 94002221, 97675790, -1, -1, -1, 383004841, 298910804, 62391920, -1, 631452924, 674472319, 179330876, 731132960, 518913665, 798318329, 983071488, 337686499, 429379193, 458613278, 424746831, 441854301, 404082861, 353763212, 748693606, -1, 792625906, -1, 808861108, -1, 106684518, -1, 199366585, 830572564, -1, -1, 835689378, 753970385, -1, 108009722, -1, -1, 71111489, -1, 572284344, -1, 416449586, 61916148, 251364882, -1, 110077212, 516913210, 334477794, -1, 338199105, 994270455, -1, -1, 689706174, 398015822, -1, -1, 280489839, 374455817, 707035675, -1, 589764763, -1, 759588504, 386602417, 978806855, 120088770, 468666847, 291068706, 529815462, -1, -1, 695455749, 229608185, 400288059, 749535165, -1, 98515272, 752652375, 389598532, 597579242, -1, 625476362, 262405011, 562321587, 565640381, -1, 772982200, -1, -1, 186240108, -1, 215014979, -1, 108036954, 767692126, -1, -1, 290607954, 227670968, 335949545, 447419108, 563334023, -1, -1, 860814092, 312352376, 398741166, 553666965, 685634480, -1, 402000250, 76263466, 236482165, 335129637, 512890360, -1, 919248348, 975787044, 847081039, 975963119, -1, -1, 836250773, 452740856, -1, 211950096, -1, 519264535, 992349936, 849182180, 5209271, -1, 388812849, -1, -1, 282585826, 657543852, -1, -1, 533802899, 690090560, 384261743, -1, 836825756, -1, 49272206, 526091035, 353219692, 504559084, -1, -1, 346119215, -1, 631274090, 593965537, 193046942, -1, -1, 565401984, -1, 510766221, 815776156, 972742560, -1, 149465423, 785746910, 724375103, 619083227, -1, 352248391, 699925732, 359754549, -1, 287762864, -1, -1, 145299463, 733509954, 966792564, 779569715, 872159395, 536543984, 419260871, 886343651, -1, -1, -1, -1, 502746032, -1, -1, 812729381, 499712784, 559789959, 776766640, 853406796, -1, -1, 176713991, 963879416, 989373185, -1, 70569500, 11521155, 960723813, 228247294, -1, 603449478, -1, 60628561, 367922138, -1, 536874352, 921324455, -1, -1, 515999849, 556577767, 618535624, 95814201, 977820634, -1, 125600479, -1, 594101671, -1, -1, 848972609, -1, 491326856, 837993063, -1, -1, 292484826, -1, 943444164, 547893912, 649830136, -1, -1, 112735338, 490092861, 232464782, -1, 120220045, -1, 471546628, 451750229, -1, -1, -1, 728017058, -1, -1, 954213765, 36216334, 852256030, 704654381, 585316651, 202812905, 33731533, 935062614, 731169687, -1, 601103497, 113048423, -1, -1, -1, -1, 58367506, -1, -1, -1, 178636781, -1, 484072647, 150218572, 822765116, -1, -1, 17621399, -1, 82529669, 302706252, -1, 638937660, 415033742, 400291467, 585429395, -1, 80590645, 990734313, -1, 747217736, 614068808, 975882005, 307836852, 78446362, 896483061, 592758490, 54457716, 398750873, 755662635, 780474593, -1, 54755827, -1, 626440273, -1, 496231134, 802071275, 345240911, 716393282, 199168773, 521042942, -1, 106778749, 421114868, -1, 20459440, -1, 623267456, 379486917, 266183976, 900645448, -1, -1, -1, -1, 333285963, -1, 733108907, 138819387, -1, 704488820, 235051386, 88983393, 295788821, 579713656, -1, -1, 178918573, 721163559, -1, 992232614, 333102234, -1, 13956323, -1, 796220257, 736840924, -1, 285863508, 453761233, 367487409, 392998449, 558700358, 600524725, 64844196, -1, 291693367, 175100167, -1, 2247918, 106237640, 377330595, 766630018, -1, 425614669, 848401235, 593696259, 709974185, 487205617, -1, 702600462, 811212589, -1, -1, -1, -1, -1, 789115158, 185990092, 697457796, -1, 775443353, -1, 727603316, -1, 338047001, 185123726, 231134841, -1, 311791061, 532014902, 184310490, 75971686, 66076524, 804894053, 844739752, 606800589, 399751657, 695444596, 737981816, 622861715, -1, 933062859, 497802932, -1, -1, -1, 741513522, 302423620, 917312379, 134340806, 334382680, 718086348, 128464536, 611615953, -1, 445497312, 629743548, 733129717, 828179110, 890926438, 593791495, 864802968, 847413129, 717801190, 7361924, 382127315, 781794652, -1, -1, 275609052, -1, 668230029, 943926556, 853676195, 324459151, 226116076, -1, -1, 371965412, -1, -1, 692924348, -1, 505497377, 864145633, -1, 915023675, -1, 511455378, -1, -1, 577083606, 733892977, 585380189, -1, 43938451, 348629209, -1, -1, 756268385, 116502991, 601365824, 844522122, 647867636, 829012171, -1, -1, 651960203, 551288884, 140883622, 237940670, -1, 624815781, 602836737, 172252, 368805655, 413595023, 636307707, 195745154, 431457810, 769237298, 490131090, 740564415, 424065239, 643312899, 81189001, 732662965, -1, 790003667, -1, -1, 528570608, 810068593, 84643800, 979078337, -1, -1, 688120797, 922647479, -1, 236596286, -1, 268396540, -1, 301235393, -1, -1, 743939374, 256636860, -1, -1, 348413550, 393939999, 92878827, 164673636, 566696917, 703416152, -1, 47384294, 534926476, 508348501, 435626975, 893055608, 968120712, 241695437, -1, -1, 67191267, 488151671, -1, 497278599, 759033055, 526858322, -1, 712066814, 934111932, 954635628, 489607321, 334442436, -1, 980682593, -1, -1, 598758508, 943405399, 62774405, 175823084, 518008030, 198685991, 361792315, 269713402, 149040303, -1, 982004431, 989413861, 707243157, 12535854, -1, -1, -1, 814921805, 520814890, 572976685, -1, 595384847, 459914364, 543495160, 257385222, 85518634, 338288959, 917389509, 323373279, 514200512, 777766826, -1, 694483453, 139880401, 324691895, 552234279, -1, 679791838, 761639788, 302236864, 885243097, -1, -1, 149064289, 186934028, 222294783, 364550504, -1, -1, -1, 32954332, 151160339, 139643597, -1, -1, 793847703, -1, 277081328, 964243430, 790983515, 932610815, 164996477, 260316976, -1, -1, 957123747, -1, -1, 163856726, 105267049, 528919513, 193363450, -1, 189493050, -1, -1, 562006699, -1, 393672865, 524893073, 31574069, 774709718, 142831791, -1, 320103340, -1, 492464096, 949618907, 20881050, 82639679, 959173975, 340722616, 717014784, 768196961, -1, -1, 880999251, 900759545, -1, 368971994, 214209945, -1, 528919182, 562021687, 273967535, -1, 524600609, -1, -1, 544780291, -1, 176881347, 112118027, 736803394, 921359202, 338773461, -1, 944620658, -1, 627167008, 65321080, 838313981, 745635386, -1, -1, 570888905, -1, 933493652, -1, 814560759, 761686319, -1, 832697812, 992532277, 136951623, 813573920, 143796873, 725308575, 430839854, 198092526, 399205789, -1, 847024988, -1, -1, -1, 152883553, 662732455, 432121991, 121114178, -1, -1, 582625386, -1, -1, 936296205, 205176515, -1, 81794466, 22528397, 290649581, 968946538, -1, -1, 960061782, -1, 676825648, 434817084, 787702000, -1, -1, -1, 843439539, 999072035, -1, -1, 472077065, 402220645, 437787008, 659417137, 78088266, 548272394, 910553479, 341143420, 784799996, -1, 747476758, 728605400, 558827087, 990935255, 459594317, -1, 758727470, 248543071, -1, 738538033, 172131164, -1, 20369379, 828691691, -1, -1, 197384442, 458325198, -1, 240297176, -1, -1, 339795743, 581762208, 654320423, 128096806, 838286596, 287600832, 435411954, 717982974, 831050021, 891792975, 451765566, 639018267, -1, -1, -1, 444013027, 853470559, -1, 477913657, 598855207, -1, 757836466, 142461937, -1, 143140715, -1, -1, 118640428, 771906391, 884623420, 456989089, 255075486, 784123468, 571209829, -1, -1, 761211676, 676981748, 459958592, -1, 862726378, 841668942, 259188759, -1, -1, 196146719, -1, 578568852, 179914148, -1, 441808474, 518768964, 129974600, 384613204, 934796757, 2251540, 789916587, 573343717, 368514220, 17543403, 389753815, 147636763, -1, 678798730, 455047106, -1, -1, -1, 198098505, 142667577, 60204458, 896883045, 695243148, 301443019, 657194096, 669186126, 395915511, 643160672, 10842418, 945763227, 443818147, 234446302, 333442287, 531518152, 435317978, 784794560, 552617323, 458700566, 900562206, -1, 37922239, -1, -1, -1, 8276909, -1, 99126341, 130328403, 773063749, 564267847, -1, 729410584, 685042844, 75731147, 278483734, -1, -1, 507458609, -1, -1, 783501028, 305048629, 714419100, 100554799, -1, 181737579, 400475667, 11697223, 895204969, 530311707, 425035597, 139747919, 208606983, 243931824, 677932176, -1, -1, 942970613, 461531489, -1, -1, 970221706, 752831363, -1, -1, 8275007, 97741564, 908982110, 921836566, 465544774, 941604768, 85198186, -1, -1, 97993128, -1, -1, 144418351, 528867898, 740028531, -1, 337887310, 800750027, 346380457, -1, 571676878, 91185902, 516775500, -1, 203602900, 424200857, -1, 762171009, -1, -1, -1, -1, -1, -1, 691891472, 463702900, 838051103, 287744690, 790867530, 479090072, -1, 699554331, 624531013, 345208945, 54901917, -1, -1, -1, -1, 375296399, 405771829, -1, 745864927, 370625899, 997494908, 879013548, 339903102, -1, 470762405, -1, 579301924, 769492743, 352552192, 960988065, 677101795, 742456977, -1, 580716241, 584223154, 434249904, 646719427, 375073612, 885081549, -1, -1, 331229324, -1, -1, 488437380, 741034859, 304370544, 606940939, -1, 677061640, 606646180, 934404348, 579208749, 281640698, -1, 451570974, 140340830, 685018226, -1, 673063278, 659450264, 904376535, 297727071, 995904262, 940509161, 138252355, -1, 570507896, 491515969, 822725495, 468545830, 819201061, 229965986, 657283835, -1, -1, 934453562, 503488929, 918387303, 932909232, -1, 557048577, 133580041, 61574953, 705693486, -1, 828261856, 283112045, 813174773, -1, 233384619, 145698012, -1, 791315348, 119982802, 745477714, -1, 752722092, 99001534, 475730135, -1, -1, 773988257, 879341359, 135348375, 786398782, -1, 727480080, 701931782, -1, 174163641, -1, 721272448, 758991760, 909892632, 545329119, 733302230, 234521435, 221019697, 310858748, 628284574, 671380998, 446899675, 474855473, 155626621, 867599122, 329131852, 19995369, 101199335, 694808960, 458130184, -1, -1, 185959506, 512228744, 869737629, -1, 510319527, 521916320, -1, 905000403, 769044108, -1, 751034925, -1, 197277943, 533186096, -1, 968821390, 177865529, -1, 922749887, 991515530, 793055235, 865133927, 443999553, 534312087, -1, -1, -1, 601100645, 99676584, -1, 346606302, 935336492, -1, 672261522, 279578979, 869332792, 736868177, 36560844, -1, 631404322, 709777751, 51569134, -1, -1, 17111897, 693900844, -1, -1, 204544010, 50262745, 313681478, 582574188, -1, 31334847, 926190197, 625533249, -1, 747336326, 700886974, 298822541, 360349541, 53436481, -1, -1, -1, 998187064, 777807179, -1, 100940630, 803269571, 470734238, 212355888, 184744359, 374645561, 310297145, 52068273, 288328595, 723900481, 180867512, 563360225, -1, -1, 368108048, 574766887, -1, 355280798, -1, 336393521, 544698904, 800015403, 142205696, -1, 376579259, 285436367, -1, -1, 495101455, -1, 213933035, 502133643, 937269950, -1, -1, -1, 191607712, -1, 630151226, -1, -1, 173467598, 185690312, 61139706, 879191721, 997303486, 250753554, -1, 38661871, 519738253, 850738510, 697019212, 802384297, 424608185, -1, 584466544, 927881310, 655821441, 830565736, 230373858, 880526741, 373971310, 482102401, 244143334, 128416891, 179430995, -1, 120692117, 790403733, -1, 625858050, 467697955, -1, -1, 676102094, -1, 263424469, 202064938, 369966246, -1, 751694341, 239336915, 136745311, 283992997, -1, 60003024, -1, 275419457, 732339887, -1, 830510131, 629904105, -1, 766602440, -1, -1, 19697837, 24081413, -1, -1, 950455749, 379524479, -1, -1, -1, 496646966, 488251782, -1, -1, 540085388, 564288640, 804151662, 241929139, 240304140, 168769783, 524663969, 54363931, 68770912, 475923516, -1, -1, 348128297, 750158595, 121660187, -1, -1, 927183832, 192497118, -1, 771533115, -1, 858367567, 287789560, 814809888, 548594803, 993104688, -1, -1, 39181814, 992077075, 872936697, 529080875, 216565472, 197074488, 170753175, 576260096, 952650110, -1, 271054825, 261806636, 448163411, 978777050, -1, 118302396, 480359329, 95102885, 851683743, 175649821, -1, -1, 450864238, 630110485, 755100174, 558111365, -1, 466563033, 94917357, 367697140, 121857232, 980567544, 470033264, 931491210, 524239473, -1, 468558974, -1, 813705046, 360793392, -1, 365750996, 76482962, 264434526, 57814930, -1, -1, 533767328, 28840632, 395568421, -1, 169200444, 770192157, 607050725, 531327134, 500008631, -1, 420523831, 207417042, -1, 151173742, 69923509, -1, 655917417, 433026706, 118170250, 726297172, -1, 851124009, -1, -1, 167248642, 595412873, -1, 544806221, -1, 525857667, 5715875, 230959016, -1, 291426941, 930192768, 362551029, 891879792, -1, 762671730, 562779247, -1, 272329234, -1, -1, 443476188, -1, 308265087, -1, 207724822, 599057372, 413124002, 590504467, 616124244, -1, 119877217, 334029571, -1, -1, 722661794, -1, 95919960, 515060840, -1, -1, 804423127, 922861852, 502086439, 533410601, 849276904, 736304582, 44891090, 983316474, -1, 98558602, 835086482, -1, -1, 651188011, 334788848, -1, -1, -1, 899577576, -1, -1, 271050083, 179799415, 368116706, 739136362, -1, -1, 313200168, 724764816, -1, 93261500, -1, 25175256, -1, 577289996, 580863039, 54998394, 361758763, 449660139, -1, 640679472, -1, 103744971, 708412032, 293864150, -1, -1, 908869036, -1, 874350534, -1, 439398463, 723701915, 559053329, 309183180, 274650560, 897089794, 826931291, 43757509, 172232898, 847294101, 112204389, 39931206, -1, 24778810, 716669703, -1, 364429735, 509531284, -1, 60520952, 968610932, 275229194, -1, 466173141, 512092285, 989628694, 6521236, 662896914, 721525723, 451059665, 987065630, -1, -1, 655819029, -1, 600753155, 635410130, 851148793, 609066766, 897509911, 306468451, -1, -1, -1, -1, 646281028, -1, -1, 912475505, -1, 952280688, 887178235, 431158991, 143544590, -1, 518148163, 361053919, 690692888, -1, -1, 715283549, 855390224, -1, -1, -1, -1, 601062178, 296526400, 365038387, 591310007, 434266224, 856365664, 205153743, 25813039, -1, 409958655, -1, -1, -1, 534675126, 796682923, 255430120, -1, 631616972, 945910, -1, 502428794, 895297623, 41353220, 517189474, 802549076, 874803784, 919730353, -1, -1, -1, 786580036, 582212336, -1, -1, 757549037, -1, 995919616, 87270063, -1, 972569463, 893106091, 764184818, 573526832, -1, 237269764, 369346660, 73742792, -1, -1, -1, 931590775, 61351219, 473958467, 132366342, -1, 406594591, 233875169, -1, 406228170, 653632853, 325703897, 977900632, 521227526, 567661398, -1, 446708270, 284422999, 857337677, 298597042, 791690936, 140861430, 992340081, 504441833, 491975611, -1, 613183003, 624775624, -1, 821856408, 830570148, 226004748, 163741212, 50468191, 361963179, 267477224, -1, -1, 916510708, 683623218, -1, 138796876, 824133137, 880114834, 262096133, -1, 579716950, 90629567, -1, -1, 581908817, 651055803, 495206866, -1, 662702554, 338395370, 619828248, 284037842, 820424753, 748590723, -1, 746999132, 516740628, -1, 356173198, 854536498, -1, 464344985, -1, 731357285, 414257637, 424380619, 892992089, -1, 710673890, 577119408, 522052407, 418769274, 157428828, -1, 214974367, 997843001, 778002619, 469115137, 721110794, -1, -1, 104686605, 99198431, 874410683, 377370071, 541900839, 215809459, 918224104, 30244635, -1, 103548068, -1, 914437901, 185889837, 880208083, 546523904, 801852223, 272868971, 845357898, 444631761, 806019884, 966515261, 595078722, 891894535, 975763086, 810003810, -1, -1, -1, 845256998, 155764960, 534429500, 703668726, -1, 580240050, -1, 519939573, -1, -1, 621977306, 939746291, 147600076, 743234282, 615171084, 764291035, 534060097, 533792742, 850057638, -1, 213466001, 37403311, -1, 287312632, 518663723, -1, -1, -1, 141711101, 529651946, -1, 120522700, 779380422, 635541575, 194094554, -1, -1, 983166040, 353954990, 170947723, 222257701, -1, 756094953, 954601816, -1, 38523069, -1, 97997947, -1, 976445138, 141355924, -1, -1, 377104771, 839016939, 821123414, -1, 516713382, 94089491, 571473859, 771410296, 497853169, 955972393, 218434102, 669402189, 420968664, 356753179, 565510066, -1, -1, 666294807, -1, 495787980, 914678346, -1, -1, 649410725, 274757204, 729606936, 559066277, 395272510, 833875, -1, 393816935, 20293043, -1, 700976916, -1, 981914838, 5404006, 732255406, 476979081, -1, 938113641, -1, -1, 706240745, 852369802, 758623154, 134008384, -1, 653956853, 433815418, 548166772, 422179982, 689664289, 730604419, 826643943, 82138098, 171303350, 914747500, -1, -1, 811489148, -1, -1, -1, 459887787, 629005668, 278123155, 168406724, 197429193, -1, 156750847, 509165390, 183729013, -1, 563793062, 377557962, -1, 643262718, -1, -1, 518475680, 944396960, -1, 621916054, -1, 196641484, 938953866, -1, 412836508, 405949953, 766302959, 229939249, 102162224, -1, -1, 121455593, -1, 361313432, -1, 406472146, 965259332, 66508855, 179081470, -1, -1, 791015315, 530438118, 784852160, 992648331, 666321309, 659378323, 933357070, -1, 209692874, 178386830, -1, -1, -1, 50355487, 385167862, 395984444, 80594312, 135634782, 379720606, 109195066, 165930702, 867467091, -1, -1, 736988232, 855093272, 574127981, 168997670, 4763882, -1, 312491610, 134198319, 766572475, 59782025, 746169023, -1, 841756239, -1, 678017680, 730073762, -1, 162599502, -1, -1, 296707720, 748789407, -1, 181044839, -1, 336189983, 187586258, 733724908, 150384136, -1, -1, 413999790, 432489807, -1, 749938710, 776469513, -1, 165152974, -1, 145984676, -1, -1, 609949811, 553342314, 899476511, 2183802, 432729572, -1, -1, 296864599, 458692718, -1, 151643929, -1, 920667465, -1, 213494314, 716126741, 423548740, 23524354, -1, 64521824, -1, 770823307, -1, -1, 107040191, -1, 183295438, 978341341, 802948341, 478585351, 996297453, -1, 129905928, 990031121, -1, 30073381, -1, -1, 643688578, 557385048, 399810206, 693330151, 573115185, -1, 786258087, -1, -1, 939944202, -1, 203751472, 232390745, 573382635, 349519640, 906034205, 989589700, 696116466, -1, 417878740, -1, 367232640, 223632668, 796926302, -1, 425393705, 76763038, 592273469, -1, 989549092, 531062227, 191393165, -1, -1, 662543427, 354410493, 272943524, 389949673, -1, 742433793, 862244503, 134175550, 629272515, 194525350, 335053325, -1, 859362271, 668436645, -1, 244761743, 934941919, 631027276, 349190875, -1, 9200841, 995804300, 595757889, -1, 533022852, 641765079, 652998550, -1, -1, 277441306, 158711220, 793566856, 205315724, 351880004, 741904567, 169811104, -1, 778672775, 382233300, 973098265, 294380046, 811291170, 50447579, -1, 215228805, 709412220, 863224294, 329966307, -1, -1, -1, -1, 954758187, 842948775, 278954004, -1, 380228924, 281266369, -1, 169433853, -1, -1, 61052969, 600747674, 853450939, 614205129, 293472093, 800700666, -1, 947071619, 32681243, 769609424, 461321890, 115815425, 934943950, 455014314, 413747405, -1, 337746850, 209594876, 362680780, 568869344, 9041405, 225223186, -1, 135693421, -1, -1, 816647895, -1, 710465057, 850780372, -1, 920910605, 260483204, 449984324, -1, 206301305, 359484871, 686752250, 784748775, 247714894, -1, 981584752, 243976819, -1, 6929509, -1, 93316622, -1, 962132833, 400980809, 756519504, 993998963, -1, -1, -1, -1, 533065396, -1, -1, -1, 876864150, -1, 727617184, -1, -1, 294276651, 84735549, -1, 755976990, -1, -1, -1, 53920753, 240747181, 422787237, -1, 174235532, -1, 743748957, 3409250, -1, 512100295, 727815743, -1, -1, 148949646, 995399338, 38543322, 888541885, 397974071, -1, 302292869, 880541720, -1, 642377357, 755531021, 524990417, 410429959, -1, 850933900, 579679715, -1, -1, -1, 911223099, 924702199, 504148297, 170908357, 96889564, 715610803, -1, 800282919, -1, 720810860, 129400094, 657901170, -1, 850511285, -1, -1, 941790915, 583673157, 734304233, -1, -1, -1, 611815255, 308146627, 231851653, 879099076, 103390533, 551932562, 266157414, 563666767, 24138325, 498056969, -1, -1, 480856560, 627273258, 451757412, 538152586, 452513536, 630542999, 152177502, -1, -1, -1, 537597423, 78210641, 39895787, 290244058, 442728102, 821345655, 146566674, 790096321, 876851095, -1, -1, -1, 656731445, 432421179, 208471622, -1, 530485597, 951073056, -1, -1, 729105958, -1, 448101059, 237459080, 739543977, 978523728, 662204661, 249664574, 465486811, -1, 496520874, 672036375, 98902366, 933581648, 539314471, -1, 212354174, 887037585, 834203141, 91520592, 14090519, -1, 750597952, 811339737, 881985929, 880648062, 297262766, 673144182, 588318177, 730058686, 418660671, 370180871, 174684786, 167929497, 306768170, 698286521, 731865280, -1, 80631705, 118471035, 748064516, 37280390, -1, 69362147, -1, 610638169, -1, -1, -1, 838520970, -1, 647314126, 516560380, 925340607, 318204978, 397966277, -1, 118090545, -1, 104235850, -1, 210404339, -1, 641028725, -1, 207006410, -1, -1, 732618703, 472892247, 452095830, 870093939, 209566777, 625029361, -1, -1, 511869022, -1, 116504218, 904533365, 119368509, 995226011, 90542747, -1, -1, 314251559, -1, -1, 285623050, 383411916, -1, -1, 601469203, 698930742, -1, 739530145, 49358304, -1, 688097087, -1, -1, 430803773, 338967621, 361377599, -1, -1, 409986688, 204382228, 629381146, 967290467, -1, 364641798, -1, 432368927, -1, -1, 622808498, -1, -1, 373384253, 526886655, 144073063, 758774652, 765234186, -1, -1, 587195495, 902874170, -1, 193191288, 24867152, 600394192, 704631798, 148116993, -1, 194235516, -1, 607519339, -1, 187392263, 734353724, 851113293, 803352098, -1, -1, 452531496, 746104921, 669668613, -1, 718066729, 559650860, 284262396, 661017438, 266366020, 673257202, 862168728, 56898728, 83292481, -1, -1, 867281416, 595836421, 443111178, 443233377, 363801779, 983663110, -1, -1, 381673824, -1, 74230753, 58828405, 348852261, -1, 561437869, 476466110, 513649928, -1, 973101584, 738980222, 656950021, -1, 283282257, 626628924, 542044961, 837814616, 363149308, -1, 585392718, 370944247, 240873039, 628014168, -1, 797411205, 40796821, -1, 111955207, -1, -1, 867940556, 74654584, 944463698, -1, -1, 161736161, 765768097, -1, 308975068, -1, 385565488, -1, 169589478, -1, -1, 490080946, 717457099, 234546855, -1, 146377679, -1, 519365265, 315812440, 676506638, 952186168, 764626728, 430779134, 429905159, -1, 621242076, 18786908, 319099577, 388547220, -1, 288457049, 487316469, 193870209, -1, -1, 609093635, 793758078, -1, 876302823, 438630320, -1, 49260264, 916083159, -1, 596699209, -1, 600288251, -1, 919799887, -1, -1, 649218189, 856299613, 749350882, -1, 744912386, -1, 124776834, 721779715, -1, 755556987, -1, 585167014, 100612340, 200385147, -1, -1, -1, -1, 767292120, -1, 237636226, -1, 285887488, 707523580, 431320088, 429440919, 636796316, 626311299, -1, 586217532, 380577423, 714526664, 178111391, -1, 559285514, 884157243, -1, 829740988, 864708583, 122975413, -1, 574671459, 902176902, -1, -1, 696311657, 152065984, 61519724, -1, 233622719, -1, 594900684, 561725863, -1, 318946416, 734813299, 882847415, -1, 481366973, -1, 987800414, -1, 536639322, 145805708, 494752955, 327066039, -1, 82445536, 82079921, 636629246, -1, 421098901, 718095676, 869807906, 969468063, 763484116, 126386150, 561888032, 870314212, 226023266, 393813794, 813043019, -1, 473521084, -1, 75592620, 828898830, 94030615, -1, 476837625, 641343941, -1, 288871716, -1, -1, 303983581, 293368260, 335744517, 81805245, -1, 821546779, 301880159, -1, 194016410, 746314187, -1, 708943603, -1, -1, -1, 326993727, 702311249, -1, -1, 489274855, 869658756, 923952576, -1, 901053897, -1, 333642515, 464455388, 543885922, 323859872, 979465799, 858902715, 955234409, 204808385, 940523027, 161324673, 441610755, 680754469, 913171668, 489041127, 569755893, 666256200, -1, 919832952, -1, 853812828, 759502127, 787534666, 392593944, 542343726, 670159733, 886951343, 249130235, -1, 258926105, -1, 40089551, 581608368, 208047232, -1, -1, 150483911, 32280461, -1, -1, -1, 843431390, -1, 960759903, 359041478, 518980953, -1, 56145581, 667483548, 195342757, 925907855, 518282040, 5175245, 78104499, 482905793, -1, 338340060, -1, 627008168, 890165133, 577844490, 75616889, -1, 337526104, 205374175, 623490276, -1, 382287714, 873299250, 552561144, 326125719, -1, 776932166, 795167471, 695661946, -1, 181382689, 662544559, -1, 264459354, 58640555, 967865221, 581604153, -1, 438351730, 953695836, 991537347, 65441781, -1, 361467622, 683647010, -1, 102688025, 904695038, 992068727, -1, 394743615, 658533226, 755020363, 525113774, 671789125, 474674233, 72786035, 368742303, 190908663, 728055204, -1, 827027698, 282413646, 152539408, 531966889, 95132878, 172577508, -1, -1, 749652780, -1, -1, 101066659, -1, 922139530, 881551026, 419967553, 274430104, -1, 965007650, 548017309, 578105314, -1, -1, 78766266, 659886705, 906809202, 343874323, 791863370, 231667363, 162812840, 749255116, 386131596, 681804214, -1, -1, 112981796, 32246175, 866878265, -1, -1, 705943038, 486593286, 162636161, 16298654, 572457022, 529125201, -1, 268431420, 836308046, 490828873, 585916484, 104168493, 83475606, 342677068, 669160287, 929430329, -1, 266372049, -1, 151830971, 498792661, 402981582, 773802609, 381351564, 654661242, 269449643, 166063799, -1, 905014801, 677907529, -1, 539117414, 869433400, 821987158, 242488307, 908391859, -1, 657608847, -1, -1, 1249742, 620760647, 535342217, -1, 153884066, -1, 220822037, 677253817, -1, 387104599, -1, -1, 778900173, -1, 716350371, 41549756, 244520913, 568952129, 272473984, 366239305, 237439337, -1, 162875068, -1, 816753925, -1, 335288079, 747161425, 171816162, 394303196, -1, 692267875, 666777005, 585989460, 499122301, -1, -1, 193949883, 589407580, 19095088, 885552950, 828073367, 7072168, 222264422, -1, 941009577, -1, 780663651, 936127098, 861614102, 70995730, 499591627, 95812537, 961286189, 477137401, -1, -1, 737168653, -1, 814341238, 170295260, -1, 510583631, 950359835, 704062277, -1, 428627525, 46193454, -1, 421587741, 346847852, -1, 82853369, -1, 747857955, 155930417, 491478170, 576793755, 969276740, -1, 751310442, 782785897, 846548691, -1, -1, 345607909, 89287421, -1, 46152567, 757567413, 70410857, 419720333, -1, 873486555, 213072450, 727691928, -1, 166993618, 813464747, -1, 674938417, 105077430, 167528805, -1, -1, 162704931, 591744175, -1, -1, -1, -1, 966130630, -1, -1, -1, -1, 247782321, 439406891, 273946504, 61111776, -1, -1, 116260657, 229210894, -1, -1, -1, 292283777, 586199079, 922333065, 521491130, 554813871, 53966446, 202254426, 643176319, 236490325, -1, 854747032, -1, 53994662, -1, 239978326, 102233221, -1, 347697106, 975392657, 533445311, 586625128, -1, -1, -1, 459490988, 806861520, -1, -1, 42564600, -1, 72959863, 569167886, -1, 892815449, 925273651, 678056095, -1, 245973881, 545905098, -1, -1, 971398826, 820690497, 643566944, 527795840, 917605581, -1, 327581095, 427075501, 568297194, -1, 667352952, 144568107, 463742977, 297173418, 154621936, 547219986, 916966089, 149361596, 250750621, 701310091, 133126765, 101997136, 294982764, -1, 931795556, -1, 650356276, 22948197, -1, 677560511, -1, -1, 67667462, 384863539, 792843727, -1, 214011591, 530796358, -1, 901294431, 721556216, 926098481, 736843096, 798759740, 311157941, -1, 231760831, 589113295, 10127972, 38996081, 660273899, 425528871, 33311257, 794710296, -1, 653390282, 509310711, -1, 619809710, 87987039, 794392163, -1, 561306999, 843204949, -1, 733823061, 454243538, -1, 32579961, 733437548, 919493683, -1, -1, 277450417, -1, 617707253, 557434934, 372584710, 506619779, 144292243, 225839204, -1, -1, 846353978, 482841184, -1, -1, -1, -1, 650616696, 787836745, 611118549, 384620438, 879124482, 860833313, -1, -1, 274180456, 348507336, 490050336, 487570041, 361848977, -1, 593869574, 322984895, 166827361, 273167803, -1, -1, 169019782, 29141221, -1, -1, 762058833, 174006595, -1, 110101908, 503065087, 621481296, 133237081, -1, 534894243, -1, -1, 288604084, 258842031, -1, 438969739, 758628973, 932519077, 909984497, 870241848, 279117772, -1, 759581762, 302736840, 279219761, 969112658, -1, -1, 414695869, 223867550, 872092002, 282883834, 89817501, -1, 585621956, -1, 926559997, 665762844, 982228746, -1, -1, 66654564, 856517430, 753653689, -1, 368606575, 476630210, -1, 363371749, 657187761, 135726667, 914990445, 204052520, 789942619, -1, -1, 686465140, 786023074, 379409632, 68130813, 588883741, 789177796, 884432078, 655347502, 711166484, -1, 304593121, 987449808, 668683610, -1, -1, 683635797, -1, 385747736, 325181734, 379995194, -1, -1, 596181181, 579968688, 173469928, 796209465, -1, 501739319, 633058326, 650753397, 476881314, -1, 571010403, 334415011, 260116792, 614964773, 855565617, 635451514, 624026117, 506562123, 857442493, -1, 873005157, -1, 716847302, -1, 931822113, 28325008, -1, 270504210, 192151110, -1, 389147852, 670531390, 134222096, 19824763, 851261481, -1, 29525514, -1, 375877190, 879216578, 125758042, -1, -1, -1, 565403657, -1, -1, 424082431, 824683934, 400138206, 438087489, 33743362, 981645048, -1, 953807539, 971646063, 277416921, 417535070, -1, -1, -1, 878650240, -1, 217512199, 780895591, 25961804, 1622885, -1, -1, 430865164, 212780724, 462694628, 627357483, 576361386, 851494627, 376786525, -1, -1, 917096895, 698208501, -1, -1, 985219210, 76836857, 209530313, 447890436, 384972521, 572429873, 500520994, 569323654, -1, 254864056, 942937175, -1, -1, -1, 179448532, 133338637, 96835155, -1, -1, 922517929, 130337613, 52667664, 405567140, -1, -1, -1, 618873363, 182152371, 434879661, -1, -1, -1, 491698336, -1, 694571807, -1, -1, 215451281, 497484071, -1, 237954028, 437627392, 721736168, 740612922, -1, 623534740, 234825363, 353506759, -1, 318871871, 414781473, -1, 264896922, 699956311, 988161470, -1, 845559733, 604288074, 631412870, -1, 268538055, -1, 922326654, 695432285, 749137267, 685309386, 793801352, 785853050, 718470605, -1, 723212224, 751131615, 716109914, -1, 298976380, 664793700, 595210405, 724846379, -1, -1, 254131492, 171865, -1, 448713838, -1, 198626868, 555839282, 871300119, 96537210, 467785200, -1, -1, -1, 315641114, 507424338, 77021148, 545034754, 651140577, 257144964, -1, 525226288, 319290012, -1, 460317523, 765415845, 766409874, -1, 777984762, 111954126, 167991946, 642486676, 806725548, 843378967, 503165291, -1, 202210967, -1, 248046367, -1, 382050383, -1, -1, -1, 860618151, 999385471, 305563837, 637751972, -1, -1, 733947585, 766126477, 714661378, 284585933, -1, 399163444, 430437422, 706518422, -1, -1, -1, 321773713, 327431139, 854798377, -1, 443321172, 629390956, 817548587, 365287832, 260570278, 671508658, 872005069, 40991987, -1, -1, 141387269, 319767766, 215026851, 932971876, 978784044, 839502670, 64536107, 296670745, 390402354, 606614804, 824725791, 221681653, 726316678, 908265368, 797586770, 591972968, -1, -1, 286415411, -1, -1, -1, 790043943, 523418325, 639343217, 582511002, -1, 945183369, 188633158, 382928798, 236595809, 174026011, 214782147, 734670776, 292318620, -1, 518742403, 462494840, 81609080, 906847699, 497122792, 839184464, -1, -1, 477966938, -1, -1, 258326290, 438629434, 519743094, 682501132, 521331535, 949528896, 612298368, 555824221, -1, 434540361, 128110060, -1, 525110326, -1, -1, 522843306, 922104219, -1, 956324636, -1, 170242478, -1, 225607274, 753623165, -1, -1, 874421858, 888787577, -1, 775714720, -1, -1, 276273389, 734773707, 764137995, 402519941, -1, -1, 613282950, 889266594, -1, 26926766, -1, -1, -1, -1, 300968957, 537830079, -1, -1, -1, 309476201, 731986580, 204947349, 972404807, 992149377, 565003823, 284338839, -1, -1, 579041831, -1, -1, 288357470, -1, -1, 801297632, 480775640, 32236775, 355764345, 934617171, -1, -1, 86804137, -1, 565401474, -1, 30939829, 180111874, 680135287, 624106818, 88218675, -1, -1, -1, 456878171, 213897629, -1, -1, 293736359, -1, -1, 358547446, 119621171, 584700151, 483300987, 993750050, 83262960, 202786001, 232962016, 313403573, 53308790, -1, -1, 890675134, 192908175, 611007001, -1, -1, 637751612, 686182997, -1, 486129570, 249025013, -1, -1, 607323678, 796200858, -1, 371215343, 479559742, -1, 960993882, 253740985, -1, -1, 732497788, -1, -1, 688159530, 451160010, 103397129, -1, -1, 84814451, 116861591, 734052183, 210026241, 601397995, 429053870, 827602984, 317194309, 229221167, 126789012, -1, 852033630, 682139449, -1, -1, 400149329, 600178799, -1, 603956350, 59406239, 289149569, 998015874, -1, -1, -1, 746498375, 743165843, 985375443, 683271018, -1, 789992041, 574698961, 310044068, 705706044, 35290488, 995648008, 368993397, -1, -1, 562781535, 330229131, -1, 658744717, 690400009, 212170428, 669018538, 265297488, 70920258, 695335702, 396791049, 897619378, 465611712, 975754528, 296245448, -1, 547208304, -1, 239590360, -1, -1, -1, -1, 628822648, 187200815, 23552355, 836086279, 479969376, 761490360, -1, 417470838, 284284302, 112057261, -1, 809484017, 692210115, 26128806, 607639368, 251449472, 369817016, 356547747, -1, 162907988, 532494780, 516311261, 812578632, 804821291, -1, 290167344, -1, 613491263, 66994035, 413177307, 405953690, 961328655, 703146454, -1, 165124628, 241865857, 183269239, -1, -1, 35841313, 637633567, 121270243, 398813798, -1, -1, 842450152, 648212906, -1, 452746757, 552969098, 226577998, 898836068, 310328361, 80269877, 5816632, -1, 425175156, 290271282, -1, 219877031, -1, 992612860, -1, 665034185, 467970758, 255385177, -1, 989212381, 754826524, 870802756, 398909809, -1, 892528951, 538529750, -1, -1, -1, 278037220, 883578111, 765403700, 38817110, 314125680, 529636520, 475221458, -1, 349783701, 772992343, -1, -1, 210190623, 576571927, -1, 646016851, 833922922, 85346205, 1142968, -1, 899122993, -1, -1, 650903032, 682250875, 639441478, 271132948, 108262435, 948429649, 178453025, 715327925, -1, 665557738, -1, 263780688, 445809654, 167371194, -1, 186087510, 250787281, 851310038, 369376788, 621366954, 523641693, 673550617, -1, 885224367, -1, 910978969, 772540310, 995637420, 303566872, 322207106, -1, 374066111, 784794297, 344414253, -1, 873236726, 933732251, -1, -1, 58840888, 755642991, 354955639, 950252055, 255131987, -1, -1, 761832739, 13182381, -1, 205333929, -1, -1, 33559181, 936790426, -1, 772207403, 18321234, -1, 739970796, 439132282, 435128382, 516397778, 672793822, 984964584, -1, -1, 293307143, -1, -1, 869083534, 974280959, -1, 700570902, 591355018, -1, 462323147, 992276244, -1, -1, -1, 161503264, 121101936, 393509404, 113660855, 755504506, 128307964, 708574533, 27536915, -1, 321270115, -1, 123014432, 393074635, 541490225, -1, 217484259, 549996887, 4721628, -1, 721059743, 219406527, 204687554, -1, -1, 352051348, 884748329, -1, 348012994, 781981149, 834476813, 833733199, -1, 438496323, -1, 874665419, -1, 543159952, -1, -1, 774534470, -1, 429124994, 647635805, -1, -1, 486630451, 7237582, 381370365, 689415658, 15699977, -1, 98912, 994412359, 214410775, 853062562, 477258908, 676348893, -1, 251183862, 970489204, -1, 640002110, 327494989, 261209732, -1, 279349530, -1, 166784342, 418598044, 181464953, 106760835, -1, -1, -1, 384950141, 739608900, -1, -1, -1, 883195949, 624185155, 562449883, 286191174, 254021731, -1, 154701818, 755170858, 995446398, -1, -1, 245541122, 58405997, 374969527, 662831664, 762137525, 769802732, -1, 252224128, 835010821, 429077329, 602696559, -1, 270701513, 615556300, 425070936, 847155482, 422797744, -1, 309939050, 394421635, 332633262, 100571302, 302939398, 470856345, 860656114, -1, 555632157, -1, 45148517, 271247456, 118032356, 772998807, 204717794, 320869283, 366661053, 529218936, 406342693, 13108032, 700353088, -1, 953860788, -1, 520430773, 960479656, -1, -1, 128367381, 201848888, 897916239, 542486986, 334182645, 728918788, -1, -1, 620483431, 578862770, -1, -1, 634033951, 384910900, 663465877])) + +test7 :: Test +test7 = TestCase (assertEqual "for (minDifference [19705162, 978315258, 681412196, 796339631, 910006879, 610054520, 646881330, 996060264, 14516640, 653539170, ( -1), ( -1), 814043832, 434805051, 727817308, 771688379, 837579598, 280321219, 542338790, 315779327, 742647586, 914355330, ( -1), ( -1), 505312403, ( -1), 208878885, ( -1), 823720052, ( -1), 568897036, 131189110, ( -1), 327425120, 894236587, 959157133, 86000194, 833382354, 434822518, 277503152, 163884446, 150336342, 352774822, 49235388, ( -1), ( -1), 200029141, 345751397, 128782935, 657617560, ( -1), 452111817, 744251792, 693143517, ( -1), 730132181, 986449000, 531731757, ( -1), ( -1), ( -1), 802817437, 37077705, 671697399, ( -1), 811897802, 131173817, 386923395, ( -1), ( -1), 989655375, ( -1), ( -1), ( -1), ( -1), 842339765, 441690429, 195718986, ( -1), 345384754, 890391841, 488483515, 361103133, 478930957, 743872720, ( -1), ( -1), 682944318, 28081480, 142685777, 837309080, 758842875, ( -1), 472813125, 985484029, 394460130, 852927605, 640332836, 425086565, 643357746, 194210816, ( -1), 797972291, 635574728, ( -1), 795318937, 591799821, ( -1), ( -1), ( -1), 242810527, 108525526, 703129455, 330761470, 255282513, ( -1), 562783124, 2955360, ( -1), ( -1), 38631420, 84837397, 3717924, 151077948, 399505014, 252335942, ( -1), 118004561, ( -1), 515751299, ( -1), 448238252, 5261404, ( -1), 163961637, 35826879, 741138610, 387440008, 38563524, 109181227, ( -1), ( -1), 5559595, 34720676, 980840203, 43564490, 46926659, 166903961, ( -1), 790690223, ( -1), 894664776, 750786156, 909892879, 566690544, ( -1), 608138846, ( -1), ( -1), 135751019, 114644941, 588184098, 347313748, 894318989, 601594802, 589675171, 414528186, 883830314, 487535088, 540246, ( -1), 612249900, 187053211, 654944948, 967459365, 636522387, ( -1), 861815372, 957014353, 206577759, ( -1), 373345129, 787031711, ( -1), 8385032, 720699280, 920448211, ( -1), 488129838, 269551479, 656986582, 884698170, 253458095, 557717685, 149921459, ( -1), 304737800, 407029277, ( -1), 947309890, 516506677, 497104048, 966590096, 978681142, 667611237, 393890247, 39414728, ( -1), 951938879, ( -1), 968710556, ( -1), 954193892, 909646505, 412361070, 122023302, 553735666, ( -1), 477975571, 975721923, 701800166, 38251432, 773740478, 703957907, ( -1), 381719889, 534984695, 19966173, 450454058, 77896505, 405303845, 749750730, 92538181, 667524631, 342693684, 433062051, 479064771, 336109216, 449860028, 261126136, ( -1), 333602993, ( -1), 366621156, 974428544, 89544279, 240716231, 167747483, ( -1), 165300295, 649483658, 708507366, 502213425, ( -1), ( -1), ( -1), 607809149, 415033310, 72643656, ( -1), 40358697, ( -1), ( -1), ( -1), 301205031, 556420928, ( -1), 671549543, 986377063, ( -1), 378450234, ( -1), 605562161, 36809691, ( -1), 72128388, 760224688, ( -1), 487306061, 636311123, 434959845, ( -1), 354241306, ( -1), ( -1), 810476617, 847358624, 521132031, 460888718, 210789165, 499308961, 305454636, 363755409, 913208224, ( -1), 389154172, 749519961, 631194468, 598817974, ( -1), ( -1), 315574400, 905703149, 732023914, ( -1), 713561319, ( -1), 565582225, 50596363, 150722671, 481063821, 152372389, 265196672, ( -1), ( -1), 152726456, 415048143, ( -1), 17564609, 446349234, 390561866, 209395568, 839750156, 841454109, 579973990, 899347986, ( -1), ( -1), 911396027, 241511121, ( -1), 452980092, ( -1), 623807803, 178836576, ( -1), 203930867, ( -1), 439795036, ( -1), 484019706, 501006780, 873134798, ( -1), 771171284, 150799301, 409049924, 558428596, 376304622, 980208953, ( -1), ( -1), 231258720, 972806869, ( -1), 15430318, 123575232, 6803917, 400091796, ( -1), ( -1), 667167069, 487721663, 123063818, 929017392, 646189406, 882458313, 791154829, ( -1), ( -1), 740532140, ( -1), 475055286, 912435816, 330676200, ( -1), ( -1), 756388714, 166097074, 435684087, 823232877, 331189646, ( -1), 899529403, ( -1), ( -1), ( -1), 892326013, 214271494, 358800090, 791703546, 409615302, 796271455, 190473146, ( -1), 892672034, ( -1), ( -1), ( -1), 249695387, 530231449, 740635308, ( -1), ( -1), 323420079, 157892469, ( -1), 110094286, 10101300, ( -1), 411390602, ( -1), 40071757, ( -1), ( -1), 157879669, 597607191, 995994567, ( -1), ( -1), 429747959, 690917544, 266815959, ( -1), 338007395, 960120531, ( -1), 155889861, 54048599, 550580240, ( -1), 548199967, ( -1), 996059670, 472607885, 534234739, 816477840, 492077484, 788067243, 63425, 579189437, 633709329, ( -1), 715862761, 716398840, 92938093, 602321124, 977760849, 223295761, ( -1), 960532818, 735981812, ( -1), 941953057, 895903398, 586266550, ( -1), 250400863, ( -1), 181452834, 391948867, 643136020, ( -1), 507880771, 858487739, 832556516, 541333386, 349987591, ( -1), 196817571, ( -1), ( -1), 650656962, 324372243, ( -1), 560407818, 80845745, 723760420, ( -1), 103075725, ( -1), ( -1), 841506059, 133084587, ( -1), 478222047, 863444877, ( -1), ( -1), ( -1), 693948682, ( -1), 556507345, 867322250, 558702732, 25235102, 46811031, 59470101, ( -1), 678976410, 177099205, 760980640, 5164227, ( -1), ( -1), 720893183, 49689581, 823148115, 468814406, 377629318, 117863126, 555576102, 816462595, 553166328, 278929542, 762931997, 192099924, 440526219, 479422152, 569257384, 711570372, 801824936, ( -1), 42412672, 1123646, 922397939, ( -1), 644262621, ( -1), 111407630, 945017725, 81997611, 94268670, 740635413, 600488191, 679009455, ( -1), 204783346, 139262395, 518013226, 131379639, 330033750, ( -1), ( -1), ( -1), ( -1), 545729458, 177599370, 293948551, ( -1), 833908526, 491888628, 117582124, 993467610, ( -1), ( -1), ( -1), ( -1), 997333766, 847031761, 134679440, 76669517, 356134158, 310980491, 319023169, 662425639, 513599008, ( -1), 319275653, 377451096, 616259690, 36014514, 277691555, ( -1), 156599069, 593490432, 142092634, ( -1), 758014318, ( -1), ( -1), 197324381, 441077386, ( -1), ( -1), 799425867, 294097190, 254018202, 879002964, 758220294, 476414045, ( -1), 923165797, 907826015, 831071599, ( -1), 436046335, ( -1), 777332415, ( -1), ( -1), 426859585, ( -1), 193717875, ( -1), 808411673, 411145529, ( -1), 984321558, ( -1), 413422721, 386772464, 731134718, ( -1), 872857309, 395721506, ( -1), 220141604, ( -1), ( -1), 258570118, 406043392, ( -1), 390133771, ( -1), 83496142, 701742656, 446336870, 703508840, 936477513, 132450714, ( -1), ( -1), ( -1), 670255460, 236888370, ( -1), ( -1), 739255345, 154753233, 699365251, ( -1), 230975719, ( -1), ( -1), 477961216, ( -1), ( -1), 368510507, 317411904, 318842286, 459585543, ( -1), 700903229, 563812953, 50841606, 656791129, 710160748, 754883235, 132823386, 195208562, 743452022, 671344030, 161863314, ( -1), 842851637, 229265049, ( -1), 388136150, 775489206, 619581593, 269909601, 1331195, ( -1), ( -1), 921921159, ( -1), 410417913, 160392237, 280688394, ( -1), 41843836, ( -1), 340937803, ( -1), 268219401, 16258913, 343614420, 667368853, 524148142, 848074559, 946853768, 891074077, 501011430, 478887185, 530922692, 866624393, ( -1), 320461155, 425418553, ( -1), 734809378, ( -1), ( -1), ( -1), 518271819, 642230996, 993503757, ( -1), 435988275, 292371592, ( -1), 856039424, 169414747, 398539720, ( -1), 31251059, 584374738, 564835438, 606310210, 102017052, 426297838, 699740532, 339277509, 764472611, 542247868, ( -1), 575915178, 497855510, 592723759, 113593561, ( -1), 36902057, ( -1), 129098555, 713535835, 251264431, 207639601, ( -1), 757649957, ( -1), 851272125, ( -1), 135451950, ( -1), 270443171, 327133863, ( -1), 653072440, 473207618, 651600280, 691932678, 141187929, 696688252, ( -1), 49723051, 722709149, ( -1), ( -1), 202922345, 873271427, ( -1), ( -1), 36639085, 683443160, 83099885, 543985834, 615167734, 832812086, 7797532, 39856916, 747146330, ( -1), ( -1), ( -1), ( -1), 593377405, 820565652, ( -1), 451705725, ( -1), 858136614, ( -1), 606492238, 616897758, ( -1), ( -1), ( -1), 383077348, 571356456, ( -1), 354151607, 636375628, 583510195, 78994640, 420494598, ( -1), 994366270, 986924953, ( -1), 160296138, 799173616, 888176848, 36523579, ( -1), 46992328, 797459224, 356181689, ( -1), ( -1), ( -1), 47487881, 223388755, 635824862, 361299851, 367446754, ( -1), ( -1), 780955510, 106954864, 422418832, 981736062, ( -1), 395506218, ( -1), 777119217, ( -1), 320899322, ( -1), 242506055, 768471468, 131223662, 523970455, 521215003, ( -1), ( -1), 307899408, 990660387, 891189834, 562550904, 24378563, 938903294, ( -1), 802471416, 605970643, 263490468, 539387075, ( -1), ( -1), ( -1), 370121446, 479462529, 471273021, 647387359, 957202857, 986520052, 538891956, 948127123, ( -1), 260231434, 61789089, 352476870, 51873971, 913375599, ( -1), 918174343, 302711169, 645906796, 403066422, ( -1), 768618665, ( -1), 537514118, 700465284, ( -1), 233248385, 57292723, ( -1), ( -1), 349839250, 53130418, 799788538, 190268554, 453980051, 965971867, 179056507, ( -1), 344180212, 546882891, ( -1), ( -1), 624290742, 219069754, 959973033, 413775369, ( -1), 396707066, ( -1), 834242807, ( -1), 349131602, 891703951, ( -1), ( -1), ( -1), ( -1), 342320943, ( -1), ( -1), ( -1), ( -1), 257437610, 110216242, ( -1), 912486916, 293264769, 979090754, 130991541, 158519833, 724068782, ( -1), 853323417, 966725575, 36195208, 274011345, ( -1), 498953252, 226037799, 736724190, 53723768, ( -1), ( -1), ( -1), 165249992, ( -1), 840348404, 697307140, 433278733, 569469757, 339548215, 158214408, 301853832, 859867411, 597996472, 693997489, 27006202, 947685810, ( -1), 194181161, 749669458, 589357107, 848982760, 186931065, 636906136, ( -1), 634836246, 917756424, 601872533, 748938445, 811365992, 638301100, ( -1), ( -1), 255797230, 512113054, 965752202, ( -1), 581443272, 484204849, 519811599, 861950160, 502821170, 961342774, 581531460, ( -1), 131764821, 708736982, ( -1), ( -1), 884012448, 341415751, 631645012, 585321583, 390448367, 733142369, 281180710, 739352925, ( -1), 375977207, 271738336, 935453196, ( -1), 734181110, 290145392, ( -1), 787008732, 902530583, 654026725, 522818514, ( -1), 450863900, 595620059, 547153245, 365917304, 12891558, 445370918, ( -1), 2913491, 173225355, ( -1), 592671236, 476895453, 210311572, 183873223, 19180432, 469589230, 920034411, 302881152, ( -1), 328091922, 538562411, 695091697, ( -1), 566997115, ( -1), ( -1), ( -1), ( -1), ( -1), 284273141, 41394734, ( -1), 784974307, 900077489, 386481857, ( -1), 972661542, ( -1), 210565038, 18378606, ( -1), 78802452, 157611801, 786236945, 498201519, 400500720, 5552783, ( -1), ( -1), 646078811, 615002412, ( -1), 199121523, ( -1), 141928894, 568409777, 167195056, ( -1), 301235294, ( -1), 904800937, 354949624, 609167894, 661075971, 170449751, ( -1), 435185426, 813571240, 53470201, 727829911, ( -1), ( -1), 913509977, ( -1), 288032523, 799033199, 703022884, 263430016, 768919801, 972724626, ( -1), 17870628, 330225440, 49288208, 267026730, ( -1), 647575062, 201740808, 879242309, 760331205, 153429261, ( -1), 666023798, 859127856, 839995356, ( -1), 490044827, 371961975, 870799881, ( -1), ( -1), 330962963, 827246501, ( -1), 47513719, 132823509, 797449461, 265172390, 338076199, ( -1), 116345235, 441956686, 651208080, 121758165, 344158303, 733062570, 270843455, 92717399, 783858599, ( -1), 284960945, ( -1), 617072185, 631361444, 556176399, 859126256, 685252804, ( -1), 823792762, ( -1), ( -1), ( -1), 450260487, ( -1), 384054788, 394157489, 416069464, ( -1), 940571036, 165971771, ( -1), 964188728, 458750628, 521238405, 726902227, 611990853, ( -1), 710612926, 380258456, ( -1), 358426525, ( -1), ( -1), 489517146, 214695836, ( -1), 63363728, 539691260, ( -1), ( -1), ( -1), 641069274, 452622178, 533399383, 235811935, 624207709, ( -1), 243832250, 332958124, 446544912, 138090476, ( -1), 291177485, 697431884, 258969124, 211217632, 160568039, 80770599, 942336130, 737194257, 620201131, 570916718, ( -1), ( -1), 141619376, 971696855, 505322280, 972072683, 397571498, 510614674, 693066431, 305514778, ( -1), 9636447, 794960863, 926283840, 876675363, ( -1), ( -1), 697054846, ( -1), 588040669, 350698275, ( -1), 412061005, 653246460, 829114216, 666219253, ( -1), 956100164, 652141027, 397067886, 970299936, 913634283, 943167813, ( -1), 28957173, ( -1), 351615946, 327106968, 430919066, 557753594, 922556636, 787546662, ( -1), ( -1), 325862994, 51723852, 46011084, 929290993, 829017936, 549672425, 555598681, ( -1), 14977697, ( -1), 827699807, 476223160, ( -1), 402839455, 769812828, 483354165, 817690857, 529665014, ( -1), ( -1), ( -1), 171104397, ( -1), ( -1), 675807473, ( -1), ( -1), 241916622, ( -1), 838131238, 624569944, 920770587, 737095959, 276424216, ( -1), ( -1), 188356940, 301839091, ( -1), ( -1), 429028428, 700734991, 886317823, 735636910, 74931452, 824907529, 206490237, 510055695, 832843644, ( -1), ( -1), 872986762, ( -1), 278131134, ( -1), ( -1), 415404774, 524877195, 216462871, 182789635, ( -1), 203766795, 361212851, ( -1), 850582509, 592375198, 811810101, 953026415, 222886297, 446245295, ( -1), 708870491, 682375256, ( -1), ( -1), ( -1), 828347515, ( -1), 942910306, 544592204, ( -1), 819540490, 720992391, ( -1), 697624282, 480347713, 194709432, 57409499, 45300729, 63838816, 882920931, 869853332, 209282545, 524492117, ( -1), 102729389, 178263938, 493076827, 417043534, 215301584, 635574425, 292032019, 630503826, 435793902, ( -1), ( -1), 528988135, 375958853, 720140957, 805381778, ( -1), 628200169, 696764488, 706335557, 802599000, 880078352, ( -1), 32261588, ( -1), 751742537, ( -1), 388709289, 122577894, 539247774, 928652221, 540751623, ( -1), 973717587, 678102352, ( -1), 359191601, 11363354, 260409830, 875870639, ( -1), 781331629, 211000704, 901059332, 24931126, 597311053, ( -1), 487041918, ( -1), 741741151, 155301792, ( -1), 190132070, 123712397, 133955142, ( -1), 268776682, 972008327, 837767786, 464940618, ( -1), ( -1), ( -1), ( -1), 775971766, 268315376, 731132458, ( -1), 24413199, ( -1), 397787794, 66707386, 445874829, 909115229, 237154874, 249426786, 318693877, 840684114, 234925905, 949437766, 504955278, 810916873, ( -1), 699030325, ( -1), 834070768, 174383608, ( -1), 675204113, 956405121, 503322424, 442290264, 694639937, ( -1), 482030805, 323675306, 766567126, 452521746, ( -1), ( -1), 81574413, 217840476, 756792647, 389165811, ( -1), 841080259, 866948348, 301762507, 232196092, 704611864, 316203669, 674438070, ( -1), 292844977, 334780624, 283341677, 682091064, ( -1), 653354643, ( -1), 124725677, ( -1), 141025516, 161255140, 728873455, 747799133, ( -1), ( -1), ( -1), 852706256, 684932432, 947053724, 804555439, 9130574, ( -1), ( -1), 771414080, 916130950, ( -1), ( -1), 974898891, ( -1), 233471135, 973335667, 360615987, 617218175, 104656255, 153325019, 234984364, 817586463, ( -1), 652359961, 973918843, 120978125, 362100980, 342246780, 931130398, 231275619, 790895938, ( -1), ( -1), ( -1), 318481626, 152921451, ( -1), 260520646, 910560344, 3177638, 322272527, ( -1), 974751383, 830987761, ( -1), 776717116, 241655542, 65309910, 189417107, 929987068, 536425533, ( -1), 451731479, ( -1), 391792944, 924944805, 379186888, 233684692, ( -1), 922560166, 358511002, 79421556, 814984656, 582412266, 742778813, ( -1), 528815289, ( -1), 603860632, ( -1), 178738472, ( -1), ( -1), 958692522, ( -1), 689474991, 399117825, 164254065, 760190745, ( -1), 420123514, 586198131, ( -1), 314468917, 854565391, 363951258, 362795887, 363928107, 774238835, 749074036, 707680778, ( -1), ( -1), 256884383, ( -1), 6385047, 366878590, 136873720, ( -1), 513196264, 952850681, 81171162, 599214684, 865074065, 93911670, 478026993, ( -1), 694637721, ( -1), 817908105, 54493804, ( -1), 730227716, ( -1), ( -1), ( -1), 717960202, 217269760, ( -1), ( -1), 703951777, ( -1), 948926798, 140049798, 409161102, 582168485, ( -1), ( -1), 346770773, 444680537, 591600657, 718592488, 100924179, 46534054, 765824148, ( -1), 869257576, 112943094, 317748492, 133832189, 21315826, 135970704, ( -1), 153644027, 61461535, 609310130, 859541019, ( -1), 202952975, ( -1), 529366962, 622858974, 852081423, 748407097, 892317425, ( -1), ( -1), 613583808, ( -1), 2441252, 922956224, 432481392, 698330038, 543130965, ( -1), 90350190, 597929433, 361173918, 700970399, 81177604, 253484956, ( -1), ( -1), 841339139, ( -1), 74600802, 852020196, ( -1), 855425636, ( -1), 351956118, 79400997, 735342274, ( -1), 245688718, 821119783, 189546308, 569281291, ( -1), 131050942, ( -1), 462385567, 761639521, 797550386, 66557156, ( -1), ( -1), 883869268, ( -1), ( -1), 808279582, 644584077, 137806277, 211738608, 506414800, 346843495, 587337045, ( -1), ( -1), 269627341, 917725262, 169528767, 791423895, 221833344, 571014548, 753495456, 432275917, ( -1), ( -1), ( -1), ( -1), 197792823, 981070122, 44248630, ( -1), 308759906, ( -1), 216349206, 373479036, ( -1), 730669408, ( -1), 291071111, 751590089, 129685718, 719024518, 111737218, ( -1), ( -1), 269533774, 576273817, ( -1), 291021696, ( -1), ( -1), 522707394, 690082346, 472078114, 226739264, 675753151, 427718236, 715950889, 998591241, 279022430, 341277237, 830837483, 373312870, 470743409, ( -1), 921934421, 136327574, 539957951, ( -1), ( -1), ( -1), 327760164, ( -1), 151395487, ( -1), ( -1), 507181376, ( -1), 425129073, ( -1), 791496949, 100383880, 410196786, 638776064, ( -1), 408450313, ( -1), 362957976, ( -1), 95321251, 803681290, ( -1), 9867961, ( -1), ( -1), 803562473, ( -1), 494657244, 824560420, 259459340, 884005106, 319832019, ( -1), 774538344, 916089106, 159106117, 277808946, ( -1), ( -1), ( -1), 322230295, ( -1), 74900676, ( -1), 124649472, 71755717, 927150586, 362076845, 684885677, 134276292, ( -1), 854603583, 405547484, 590802582, ( -1), ( -1), 502001081, ( -1), 667502871, 439167615, 972303998, ( -1), ( -1), ( -1), 359571671, 722500208, ( -1), 918715773, 510884139, 971503186, 279126270, ( -1), ( -1), ( -1), 169514224, 748331485, 294711048, 675720261, ( -1), ( -1), 265714918, ( -1), ( -1), ( -1), ( -1), ( -1), 34657578, 892699732, 894721699, ( -1), ( -1), ( -1), 266753150, 993660728, ( -1), ( -1), ( -1), 609872620, 394008787, ( -1), 553165851, 300410161, 659071969, 173260062, 199252613, 681585252, ( -1), 668029891, 556773446, ( -1), 934805294, 340294878, 260516861, ( -1), 999392004, 472186922, ( -1), 750566867, ( -1), ( -1), 591560664, ( -1), ( -1), ( -1), ( -1), 712473187, 841084255, 970604126, 1938975, 800730989, ( -1), 891859746, 553417178, 38764657, 920459511, ( -1), ( -1), ( -1), 336070363, 969562929, 422775270, 938289102, ( -1), ( -1), 913441208, 77637913, 322889732, 872600456, 648903280, 678220855, ( -1), 99335909, ( -1), 391753174, ( -1), ( -1), 939288624, ( -1), 159920356, 6545293, ( -1), ( -1), ( -1), ( -1), 754702369, 775976132, 188527961, ( -1), 988288781, ( -1), 590502714, ( -1), 920772612, 294366694, 302265161, 523577214, 619153438, ( -1), 462190499, 688205609, 835008677, ( -1), 146289112, 528470547, 938741663, ( -1), ( -1), 869037613, 628069821, ( -1), 827237371, ( -1), 762643804, 46288586, ( -1), 463749443, 173244185, ( -1), 946933795, ( -1), 543695603, 427593014, 74112515, ( -1), 255578209, ( -1), 249573853, 913947051, 331955523, 370769388, 325457353, 742801095, 443905631, ( -1), 762815825, ( -1), 567367809, 268025809, 450959672, 324489717, 469513024, 690268729, 987418322, 706112596, 408486585, 362068101, 112664605, 401741579, ( -1), ( -1), ( -1), ( -1), 769702504, 485670191, 567181350, 621384401, ( -1), 987680840, 189079886, 430690461, 56289812, 260639607, ( -1), 646255928, ( -1), 223759837, 859884491, 292668833, 921460733, 101388975, 752785871, 46499217, ( -1), 482956687, 857844665, 117026594, 827059835, 704749169, 751435229, ( -1), ( -1), 661870817, 972056140, 607528339, 572180919, 693046399, ( -1), ( -1), ( -1), 226942414, ( -1), 304530923, 140258565, 208314314, 991330041, 100462950, 594989020, 507372085, 414160632, 543523608, ( -1), ( -1), ( -1), 324955022, 823281617, 136740270, 878227266, 78505758, 997548770, ( -1), 547771915, 149384057, 139152219, 169606247, 488742587, ( -1), 286244950, 33250273, ( -1), 961723614, 876187178, 709684893, ( -1), 290681144, 726378765, 813540172, ( -1), 840472543, 617759593, 574686946, 5307564, 477665250, 840900480, 593987622, 109694738, 83304701, 673234451, 215315019, ( -1), 833325487, ( -1), 667918049, 350096049, 39919749, ( -1), 74705630, ( -1), 664192627, 115076797, ( -1), 623524677, ( -1), 81641719, 576370775, ( -1), ( -1), 273031643, 460124262, ( -1), 155290306, 2173687, ( -1), 933863218, ( -1), 762356428, 835355114, ( -1), 955847348, 445450277, ( -1), ( -1), ( -1), 678872110, 132499377, 14685508, ( -1), 582000412, 330461559, 973294765, 425130075, ( -1), ( -1), 559545938, 291405942, 254502537, 907143008, 949052252, 964208476, ( -1), 216395182, 340624199, 826189060, ( -1), 158132587, ( -1), ( -1), ( -1), 781393051, ( -1), 448026210, 109787935, 349419432, ( -1), ( -1), 470319200, 791206944, ( -1), ( -1), 16230185, 841133590, 530635803, 660813633, 194824291, 641483790, ( -1), ( -1), ( -1), 595534444, 496327613, 914713839, 929156424, 805336407, 206006271, 583917571, 885822671, 401036700, 499627177, 927471718, ( -1), ( -1), 163030962, 116114321, 383450640, ( -1), ( -1), 879528106, 718628378, 731388595, 928453464, 491689676, ( -1), ( -1), 661568017, 857151059, 237753273, 238840152, 671084815, 118333835, ( -1), ( -1), 721837482, 715265373, 664997636, ( -1), 491006289, 776190066, 653960522, 324257957, ( -1), 540151050, 500627599, ( -1), 472972244, ( -1), 192701703, 264217284, ( -1), 42659000, 577365202, ( -1), ( -1), 54546529, 691498403, 6426837, ( -1), 705387313, 856579832, 914279761, 638972843, 816726751, 497302323, ( -1), 505531863, 461601974, 198014973, 995837926, 240590065, 92418139, 179743337, 30095249, ( -1), 92541772, ( -1), ( -1), 842966447, 179463340, 279086428, ( -1), 359718476, ( -1), 437973973, 984821906, 17032346, 805811579, ( -1), 673101931, 687073947, 520287200, 567749207, 724555888, ( -1), 54395542, ( -1), 560861090, ( -1), 461448739, 769813871, ( -1), 198520301, ( -1), ( -1), 349275846, 663633561, ( -1), 89375986, ( -1), 681045461, 156499258, ( -1), 585548428, 781105347, 312090789, 491078156, 168343136, 420611002, 565624439, 299911837, ( -1), 874222661, ( -1), 933740354, ( -1), 411827920, 548902158, ( -1), 740058360, ( -1), 10355473, 411134917, ( -1), 401163550, 754698752, 615688835, 331337588, 575454817, 58427385, ( -1), ( -1), 99465877, 69160192, 663085827, 11391294, 138610796, 133048133, 85301625, 713214426, ( -1), ( -1), 940588228, ( -1), 583211350, ( -1), 683167583, 48518035, 704081510, 490678542, 437850044, 785391621, 238234865, 105566671, 614363416, ( -1), 775376931, ( -1), 40843702, 84568456, 389315379, 844590961, ( -1), 292896390, 930529655, 740412915, 841539236, 828052345, 280536277, 594209310, 479908541, ( -1), 724071706, 885595718, ( -1), ( -1), ( -1), 703257384, 543158870, 11355581, 244624213, 174663501, 184179229, 520010398, 844647265, 765432183, 103152364, 850642902, 401489389, 257915985, 521556711, ( -1), ( -1), ( -1), 542687883, 825019505, 734821346, 60691697, 170090875, ( -1), ( -1), ( -1), 607409482, 538550855, 668593213, 885084808, 972011250, 323937059, 897457108, 161165435, 184827183, 786433476, 995475320, ( -1), 692704097, ( -1), 409699934, ( -1), 38362121, ( -1), 402069154, 75698629, ( -1), 763715078, 796366713, 697390767, 216436862, 836118021, 522693461, ( -1), 140964613, ( -1), 665657509, 562270314, 343618934, 579448314, 341926733, 619844669, 59606117, 454858305, 483026030, 110982203, 6022112, 62876583, 183004330, 553336820, ( -1), 939753013, 324200665, 786463654, 42437647, ( -1), ( -1), 629909800, ( -1), ( -1), ( -1), ( -1), ( -1), 880972740, 455147730, 204277545, ( -1), ( -1), 565755846, 570627836, 584059988, 21348736, ( -1), 356147693, ( -1), 403512998, 341011539, 287677637, 465574174, ( -1), 5265466, 372111615, ( -1), 336779941, ( -1), 817816301, 44658265, ( -1), ( -1), ( -1), 35401712, 252421969, 980759708, 18590134, 984366118, 261065368, 160051419, ( -1), ( -1), ( -1), 72192342, ( -1), 433220394, 158520076, 714951930, 162316325, 816000613, 347869073, 562016651, 865663870, 509663527, 742147445, 277310225, ( -1), 920398599, ( -1), ( -1), 680179970, 791579671, ( -1), ( -1), 804744, ( -1), 607155496, ( -1), 619662827, 912943074, ( -1), ( -1), 466735234, 7624042, 685886520, 835851118, 132929014, 246169599, 439216787, ( -1), 577950207, 694271261, 495946826, 722466962, ( -1), 900634892, 500035666, 848256864, 723105020, 257678562, ( -1), ( -1), 112129312, ( -1), 565763249, 125636409, 976653300, 523922721, 546348889, 765148641, 231125761, 189039299, ( -1), ( -1), 957166334, 772151134, ( -1), 494597989, 137065293, 4847859, 49219295, ( -1), 734924206, 600819877, 363917591, 143109179, ( -1), 640119994, 900083448, ( -1), ( -1), 632607874, 699243554, ( -1), 106699323, 871538762, ( -1), 399943909, ( -1), 851681962, ( -1), 222519679, ( -1), ( -1), 618905437, ( -1), 761128937, 858642537, ( -1), ( -1), 527046814, 981997439, 471327035, 778786750, ( -1), 214481816, 820825987, 714693992, 864746019, 468891080, ( -1), 99185246, 553436400, ( -1), 528069424, 708539179, 357038770, ( -1), 656664341, 607328924, ( -1), 375836103, 55413084, 868237651, 545259786, ( -1), 92827645, 951863775, 621926400, ( -1), 371322279, 307268712, 101744243, ( -1), 178248244, 393765727, 427667572, ( -1), 737217012, ( -1), ( -1), ( -1), 517757255, ( -1), 105737509, 985022938, ( -1), 824332045, 990939704, 182307645, ( -1), 758541976, 163101547, ( -1), 293920927, 341797276, 420450540, ( -1), 830798870, ( -1), 56688935, ( -1), 163641571, 37026831, 454333166, 924716249, 169491774, ( -1), 544708461, 435913412, ( -1), 11805460, 108640303, 647094708, ( -1), 330790418, ( -1), 714604083, 464078552, 483684475, ( -1), 594504846, 445702843, 49959365, ( -1), ( -1), ( -1), ( -1), 588526189, 394675040, 135058691, ( -1), 77049767, 255830011, 11995314, ( -1), 407780113, 662854370, 439285260, 167298803, ( -1), 584810480, 502941077, 629037770, 860192120, ( -1), ( -1), ( -1), ( -1), 671345747, 464572523, 803431992, ( -1), 8082251, 250199826, 751744076, 343119336, ( -1), 186669169, 595261123, 626288695, 375948067, 935451934, ( -1), ( -1), 641526996, 943195421, ( -1), ( -1), 585479661, 480177271, 840127231, 725218460, 184926808, 66961975, 609020893, 70878022, 64398144, ( -1), ( -1), ( -1), ( -1), 56765489, 219876764, 245106908, ( -1), 329604176, 49943414, 246044292, 943354480, ( -1), 452787318, 524525408, 699933698, ( -1), 441429179, 672115345, ( -1), ( -1), 333401938, 649158652, 246050261, 261074151, 63858691, 249732422, 422494182, 53344029, 162325585, 536337841, ( -1), 685952834, 838021, 905204322, 208066194, ( -1), ( -1), 232886676, ( -1), 457443154, 265931070, 39926650, 416428171, 199163368, 713486489, 978632492, 54940358, 972989379, ( -1), 833943710, 156506866, 80137981, 156554962, 29091167, ( -1), 377741805, 556441068, ( -1), 781617168, 733572514, ( -1), 252605686, 308056333, 43186126, 930614959, ( -1), ( -1), 102759881, 638611014, 66336755, 25138030, ( -1), 154139454, ( -1), ( -1), ( -1), 862960586, 117225351, ( -1), 123776672, ( -1), 435507372, ( -1), ( -1), ( -1), 346444751, 436954284, 409563750, ( -1), 532400088, 944617204, 169132822, 705868015, 248667590, 490272326, 61061790, 635548001, 678284648, ( -1), 474833376, 34187138, 543980756, 757042458, 335537741, ( -1), 875279218, 678562452, 262984126, ( -1), ( -1), 941798820, 154651838, ( -1), ( -1), 555268490, 970466687, 781394979, 932483070, ( -1), ( -1), ( -1), 271296456, ( -1), ( -1), 469183853, ( -1), 621460313, ( -1), ( -1), 167330, ( -1), ( -1), ( -1), ( -1), ( -1), 674427062, 493251193, 786589029, 102863101, ( -1), 5846424, 767878662, 426753832, 657705818, ( -1), ( -1), 201214131, 959408164, 26871918, 600189272, 112407176, 40727067, 191763436, 568895396, 941216424, 510341908, ( -1), 457136180, 221400320, 451956530, 145335765, ( -1), 568921461, 591550966, 872095839, ( -1), 389051726, 930699102, ( -1), 480185386, ( -1), ( -1), 815319866, 985616076, ( -1), 800476892, 751758931, ( -1), ( -1), 426182617, 196945480, 492070145, ( -1), 764177248, 633426963, 638371395, ( -1), 373013844, 593176740, 516585102, 828571683, 757242698, 402168208, 484761455, ( -1), 140763253, 559052991, 563057570, ( -1), 213221930, ( -1), 133788327, ( -1), 745276913, 141741250, 209460226, ( -1), 862701276, 723909041, 932481523, ( -1), 935158781, 233445592, 98223430, 379384095, 578400254, 846000383, 750309190, 704061942, 786918338, 583262031, 337307830, 395706778, 185975950, ( -1), 827035128, 580780093, 852645881, 46035013, 69858491, 101969701, 286907633, ( -1), 202221995, 468932480, 723207747, 154371213, 868860238, ( -1), 203580350, 150191873, ( -1), 532035632, 212675877, 475968364, 143872832, 306257930, ( -1), ( -1), 188984716, 237638703, 540652129, 340565273, 794978446, 356537900, 171877671, 618304016, 279281867, 665557624, 424095752, 487719781, ( -1), 986544354, ( -1), 222548185, 133160873, 760661729, 95835492, 266000640, 734727375, 18973072, ( -1), ( -1), 590304244, 302472297, ( -1), 575890994, 212502432, 14219380, 531919569, 376525874, 251071542, ( -1), 993808643, 323865386, ( -1), ( -1), 152938213, 997977644, 918650296, 703073412, ( -1), 631105150, 796500934, ( -1), ( -1), ( -1), 71931179, 469597311, ( -1), ( -1), 111159998, 751819108, 437419269, 947443106, 222017176, 530598694, ( -1), 228306725, 840429540, 292980390, 59339589, 504625450, 965870442, 560048934, 44164368, 204886124, 499801246, ( -1), 515689727, 823183253, 828249898, 520479269, ( -1), ( -1), ( -1), ( -1), 86357984, 71693209, 379409413, 707318526, 146295880, 932028661, 321026910, 623184869, 416346096, ( -1), 166795549, 443145551, ( -1), 17996418, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 812406714, 65487267, 229573002, 548890211, 255966539, 847683698, ( -1), 904515907, 867417194, ( -1), ( -1), ( -1), 564141809, ( -1), ( -1), ( -1), ( -1), ( -1), 308373967, 177768810, 622742024, ( -1), 351083098, 556304151, 859688460, 354997395, 780086273, ( -1), 82869547, 822245265, 458617166, ( -1), ( -1), 238295554, ( -1), 950376232, ( -1), 393481970, 57588027, 125738865, ( -1), 488543780, 845598496, 113321894, 713311163, ( -1), 665890717, 174214026, 777246159, ( -1), 124173764, ( -1), 253226046, 306714391, ( -1), 900394307, 374134480, 13516762, 458749768, 483462795, 724770120, ( -1), 864710415, ( -1), 245132281, ( -1), ( -1), 446556817, ( -1), ( -1), ( -1), 324054342, 236478380, 193099904, 42138808, 535827529, ( -1), 935609153, ( -1), 697607070, ( -1), 574381018, 761173387, 756901022, 28023123, 380486079, ( -1), 311077702, 687531038, 642450825, 903785904, ( -1), ( -1), 342554492, 901143840, 592541743, ( -1), 989660916, ( -1), 105768819, 822891008, 227774814, ( -1), ( -1), 573958320, 789639760, 457924392, 507151496, 185545751, 402358051, ( -1), 190904771, 635109921, 203921795, ( -1), ( -1), 799052659, 579661650, 630339179, 442690275, ( -1), 123614820, ( -1), 962788488, 904379194, ( -1), ( -1), ( -1), 489811593, 968940906, ( -1), 920253840, ( -1), 574881398, 516994287, 606993062, ( -1), 188576259, 474953123, ( -1), ( -1), ( -1), 86753825, ( -1), 214773200, 410877987, 380429212, 125120236, 911986409, 173580705, 801236786, ( -1), ( -1), 375283141, 430402647, 738008837, 359274532, 519425374, ( -1), 224203911, ( -1), ( -1), 839887699, 312820075, 414016602, 979477906, 658872812, 12786599, ( -1), ( -1), 575950711, 299576482, 362170227, 721951892, 498879351, 338906372, 930051803, 678739974, 720529237, 328413738, 580631091, 831918275, ( -1), 738751945, 522959772, 88355774, ( -1), 502387797, 964405132, 118530188, 760838650, ( -1), 560873721, 886455199, 753351754, 921426664, 230761702, ( -1), 47662083, 537102287, 721226814, 525904333, 701701958, ( -1), 193931310, 846132393, 847684093, ( -1), 543140177, ( -1), 899580577, 790317296, 404816224, 926422880, 933891568, 71500521, 457022819, 975810593, ( -1), 558342016, 290219572, ( -1), ( -1), 669697529, ( -1), ( -1), 30619156, 644559323, 306331416, 543122361, 484747877, ( -1), 782172483, 171439810, 148777537, ( -1), 112239144, ( -1), 170501128, ( -1), ( -1), 141414048, 294919660, ( -1), ( -1), 155395079, 441978421, 42728318, 797876694, 584574625, ( -1), ( -1), 522000552, ( -1), ( -1), 937219768, 898839010, 990666723, ( -1), 189045408, 266189070, 492399779, 805203442, ( -1), ( -1), 768581567, ( -1), 925142652, 325503873, 659852998, ( -1), 733633953, 829125741, ( -1), 625667619, 773418609, ( -1), ( -1), ( -1), 949608392, 911984190, ( -1), 59199136, 334631256, 260167526, 366273126, 709172415, ( -1), 448931787, 474584118, 455680152, 326413740, 727498992, 246280524, 68988292, 819270666, 939406597, 161304696, 125954970, 714761374, 296438035, 645120331, 333670865, 447452780, 870000750, 844820727, 444814369, 785212689, ( -1), 554239242, 65958584, 866762292, 798498724, ( -1), 604132038, ( -1), 756017182, 852381245, 543365654, 906500954, 544942723, 942541721, 878538343, 509909220, ( -1), 186745019, 387436990, 346780989, ( -1), 37310512, 806761483, 526372773, 543910673, ( -1), ( -1), 839013791, 576285334, ( -1), 823333191, 748575689, 546816261, 61653849, 992758426, 929584466, 766454994, 412058332, ( -1), 242704268, 150027697, 16910718, ( -1), 106619566, 324079983, 691030069, 595443395, 822516974, 405085778, 217100515, 29692335, 868722867, 460515082, ( -1), 551157720, 267491717, 260894664, 110622831, ( -1), 904729506, 872998727, 735896214, 560445786, 421819445, 204818516, ( -1), 86228890, 845399956, ( -1), 375990765, 120069973, 663937633, 52977565, ( -1), ( -1), ( -1), 793679678, 840076725, 546956423, 765266944, 194572821, ( -1), 556093553, 859549842, ( -1), 85235523, 452454357, 550574644, ( -1), ( -1), 988188044, ( -1), 643987269, 423002769, 449211043, 621774449, 130812792, 400326225, 325316969, ( -1), 652910225, 567943191, ( -1), 68546707, 547237885, 73764461, 800134694, ( -1), 759086450, ( -1), 407492891, ( -1), ( -1), 638332092, ( -1), 678585305, 28115677, ( -1), 592141129, 798756419, 133128361, ( -1), 475792778, 685258564, 162090044, 563362462, 781110041, ( -1), 561104817, ( -1), ( -1), 745718562, ( -1), 67994081, 21989361, ( -1), 350949538, 784441492, 533121431, 551464943, ( -1), 967557580, 357209346, 143404562, 279177315, 301423038, ( -1), ( -1), ( -1), ( -1), ( -1), 381423270, 200882427, ( -1), 504634393, 252898677, ( -1), 662118999, 466079551, ( -1), ( -1), 573967137, ( -1), ( -1), 877728005, ( -1), ( -1), 510163527, 800840394, 526345848, 957627542, 218624408, 38448190, 296111774, 608575121, 752072672, 446209396, ( -1), 550366088, ( -1), 139360753, 158735022, 439984642, 750904034, ( -1), 244103228, 636812605, ( -1), 58694248, 958582628, ( -1), 670488657, 742163895, 545359424, ( -1), 756214047, 526905397, 675450943, 879280253, 875040548, 720545751, 56881973, 407207369, 855149096, 14005418, 223779701, 594958981, 224116638, ( -1), 104697944, 909697371, 451228656, 487652618, 211021424, 364403888, 931171822, 270028548, ( -1), ( -1), 802301510, 890158505, 499801729, 251160740, ( -1), 516702982, 631277389, 410783788, 506071321, 889432322, ( -1), 764425972, 754392762, 209894392, 341209446, 11268726, ( -1), ( -1), 207006165, 144160020, ( -1), ( -1), 338442029, ( -1), 64726087, 265147763, ( -1), ( -1), 318239309, ( -1), 555718221, 568476253, ( -1), ( -1), ( -1), 133901857, 439027538, 514422656, 819190901, 968974460, 368983038, ( -1), 565810135, 621439747, 234505589, ( -1), ( -1), 888951506, ( -1), ( -1), 727484149, 708503837, 899043064, ( -1), 55584898, 170380158, 938322857, 399189279, 679875407, 492087611, 2265841, ( -1), 943167998, 604163398, ( -1), 687629296, ( -1), 580122369, ( -1), 407400895, 204125421, 178986601, ( -1), 568711820, 622483388, ( -1), ( -1), 653063615, 217029480, 718880147, ( -1), ( -1), 44109082, 375642526, 506261100, ( -1), 454521955, 112446927, 783653301, 662601548, 410995413, ( -1), 622885911, 999080662, 288855156, 372908582, ( -1), ( -1), ( -1), ( -1), 480918648, 39186847, 755205494, ( -1), 674634957, 855438632, 475750661, 257494552, ( -1), 849295043, 644727016, ( -1), 572281262, 410515591, ( -1), ( -1), 928137202, 850189933, 275111811, 685298585, 555613351, 457932877, 17979420, 406477616, 599404689, 346295038, 727020438, ( -1), ( -1), 416227889, 434348136, 747780544, ( -1), ( -1), 536642819, 542902900, 357857857, 606272122, 737680235, 726522472, ( -1), 849371679, 162896621, 171550904, 184826566, 100941655, ( -1), 296617062, 345792967, 368251407, ( -1), 717048930, 487125378, 974819015, 651422088, 200838300, ( -1), ( -1), 627255722, 896997948, ( -1), 890850382, 778891865, 646414795, 428750427, 602580168, ( -1), 755156488, ( -1), 986465378, 563885599, ( -1), 928651893, 102927980, 357584255, 643273690, 684506964, 304187861, ( -1), 832335868, 583627861, 545369703, 358029042, ( -1), ( -1), 343046239, 972984290, 429908782, 862088952, ( -1), ( -1), 80812981, 453116820, 307361414, 5390234, 462194864, 53756575, ( -1), ( -1), ( -1), ( -1), ( -1), 685623994, 354919730, 686905113, ( -1), 978676970, 850561093, 12404601, ( -1), ( -1), 770582620, ( -1), ( -1), ( -1), 599806274, 54622444, 198543345, 975555385, ( -1), ( -1), ( -1), 329076135, 83904352, 281079674, 276780746, 152192626, ( -1), 206087308, 863347300, ( -1), ( -1), 833965498, ( -1), ( -1), 751105007, ( -1), 817271920, 399239180, ( -1), 644003065, ( -1), 561526220, 808711759, 221077213, 37937532, 617388151, ( -1), 931798390, 207682763, 296595648, ( -1), 534005634, 995954264, 841773447, 578035900, ( -1), 484446507, ( -1), 851980404, 379108446, ( -1), 397844855, ( -1), 602769346, 135070048, ( -1), ( -1), 26533497, ( -1), 199671134, 400345596, ( -1), 678928165, 488515347, 147079900, 37043404, ( -1), ( -1), 994840286, 577059260, 131415988, 242391136, 541767363, 628079071, 404342351, ( -1), 664102523, 410437785, 745713363, ( -1), 940042942, 318781956, ( -1), 154657441, 535905869, 658027777, 28393687, ( -1), 991124175, 224913457, 350566567, 103216878, 384250120, 461810105, ( -1), ( -1), 183107206, ( -1), 90431188, 821514282, 334396626, ( -1), 328878866, 449550083, 813990526, ( -1), 550302140, ( -1), 233551512, 566721474, 938787775, 272816788, 591203516, 47888769, ( -1), ( -1), 225553665, ( -1), ( -1), ( -1), 351174154, 397488017, 925828574, 426543135, 599757836, 547449290, 523162708, ( -1), 541479777, ( -1), 424249955, 848631109, 499971066, 642234986, 128623584, ( -1), ( -1), 159166527, ( -1), 975396592, 502470497, 116216793, ( -1), 857728444, 760035255, 813008924, ( -1), ( -1), 743102233, ( -1), 852522551, 370296600, 861838907, ( -1), 283257152, 388183126, 119914612, 904534806, 3140485, 231399100, 795849528, 22004630, 611572543, 40861310, 323174441, 92207048, 636375677, 900383497, ( -1), 345220506, 945301961, ( -1), ( -1), 695402401, ( -1), ( -1), 180687617, ( -1), 662639757, 27761771, 792011586, ( -1), ( -1), 533396289, 661968138, 617019582, 290719118, 684415997, 820867879, ( -1), ( -1), 364925851, 159991650, 509384477, 283222294, ( -1), 253061438, ( -1), 754278450, ( -1), 884364196, ( -1), ( -1), 637478077, 106811401, 404913890, ( -1), 375329553, ( -1), 365846273, 571907411, ( -1), 965679834, 220196848, 638631365, ( -1), ( -1), 267939395, ( -1), 554166610, ( -1), 400383488, 705553495, 674149775, ( -1), 170505032, 276674461, 737493412, 907928352, 258765886, 885814999, 641053272, 924386948, 378522819, 906478759, 273823347, 469357762, 783033440, ( -1), 777036131, 756641903, 613858459, 48546690, 382582637, 395064457, 930384989, ( -1), ( -1), 741269332, 307362176, 371234797, 169561634, ( -1), ( -1), ( -1), 957998641, ( -1), ( -1), 331000102, 138737676, 431376462, 500286634, 932282861, 861717345, ( -1), 25052215, 108203606, 661215388, 121494227, 471807303, 278082918, 539803500, ( -1), 941506407, ( -1), 304349585, 759382, ( -1), ( -1), 66123923, 413250283, 744951103, 669675599, 768077863, 195116261, 116738304, 844143791, 169129196, 934416767, 918739798, 813444126, 308993895, 630950980, ( -1), 201851195, ( -1), 359038994, ( -1), ( -1), 412400791, 931681345, 842344875, ( -1), 54179898, ( -1), 834115949, ( -1), 945438088, ( -1), 639272756, ( -1), 658899683, 781819848, ( -1), 640057797, 918814593, ( -1), 881850484, 95555397, 818217438, 677525638, 779976993, ( -1), ( -1), 809395788, 355321650, 338768835, 994270289, 188930497, 627489849, 527553683, 250287854, 993509901, 778112125, 547930621, 309738979, ( -1), 120279847, 788635470, ( -1), 280423364, 470217806, 232542615, ( -1), 947736769, 995835549, 349621191, ( -1), 596362053, ( -1), 365192606, 527957105, 932401688, ( -1), 21164826, ( -1), 568867103, ( -1), ( -1), ( -1), 163346672, ( -1), 989550086, 752058007, ( -1), 794725085, 775731633, 408260961, 478904773, ( -1), 927288029, 996089096, 951069234, 70628812, 396692312, ( -1), 306777708, 346641936, 823138469, ( -1), 221562904, 269109143, 807269786, 765524076, 728739986, 164948709, ( -1), 296734000, 482849714, 709785168, 919022387, ( -1), ( -1), 687324704, 31684086, ( -1), ( -1), ( -1), 753107567, 703170513, 30974514, 238157748, 883376037, ( -1), ( -1), 199246757, 347344706, 755715244, 966439330, 546857079, 775620762, 149388405, ( -1), 946406593, 107102870, ( -1), 754870486, ( -1), 340154379, 621491979, 184431514, ( -1), ( -1), ( -1), 712836203, ( -1), 623659640, ( -1), 398129974, 634085439, 816246026, 315899899, 339430285, 896388238, 477712215, ( -1), 13929224, 577566810, 542185506, 946444178, 366088116, ( -1), 419103140, 914879211, 664844095, ( -1), 772477234, 343508671, ( -1), 64552093, ( -1), 591142212, 281166102, ( -1), 555393268, 174900313, 6126929, ( -1), 34964043, 626713826, 877051422, 373160810, 108005764, 230730095, 483126347, ( -1), 754373891, 156273691, ( -1), ( -1), 101243357, 272883071, 48742355, 480758227, 832477701, 118243612, 854698858, 981582648, 787710686, 716161777, 824122436, ( -1), 550702603, ( -1), 406472181, 577728133, ( -1), ( -1), 50713645, 827650705, 210894122, 892102249, ( -1), 614049394, 445368871, 899720029, 608203139, 459961688, ( -1), 675102209, 193728407, 135635336, 923251655, ( -1), 316106091, 269851297, 210662121, ( -1), ( -1), ( -1), ( -1), ( -1), 42205940, ( -1), 6951648, 498449916, ( -1), 882974579, 757415893, 189874165, ( -1), 94182643, 974276655, ( -1), 787978591, 824197587, ( -1), 549815203, ( -1), 214041153, 85317414, ( -1), 384195452, 282725668, 295906013, ( -1), ( -1), ( -1), 255410206, 912747793, ( -1), 121799702, ( -1), 25455426, 245103240, ( -1), 877266865, 183510121, ( -1), ( -1), 453783173, ( -1), 801458361, 566922548, 181326287, 130497772, 412460149, 353924972, 354066981, 27174179, 906619305, ( -1), 478494204, 585427039, 448897298, 85450062, ( -1), ( -1), ( -1), 183060488, ( -1), ( -1), 513726477, ( -1), ( -1), ( -1), 269946087, 799137848, 888649442, 761136853, ( -1), 662390962, 161914278, 154479842, ( -1), ( -1), 562332014, 477296803, ( -1), ( -1), ( -1), 721916916, 858710402, 542123397, ( -1), 63714030, ( -1), 463966413, ( -1), 944813629, ( -1), 702539430, 560692557, 345597881, 852991748, 219232, ( -1), 261551655, 113681237, ( -1), ( -1), ( -1), 868448581, 777528981, 821296467, 992886051, ( -1), 497899586, 451263650, 469062906, 675982737, 126259411, 812825398, 263485696, ( -1), 645574205, ( -1), 235360097, ( -1), ( -1), 981217881, ( -1), 811067911, ( -1), 538212747, 783722301, 803700806, ( -1), 776724014, ( -1), 575091309, 688532756, 170567182, 699119508, 267584893, ( -1), 574343257, 277363661, 494472041, ( -1), ( -1), 142464989, ( -1), ( -1), 13604443, ( -1), ( -1), 636859019, ( -1), 178857910, ( -1), 64994099, 331160661, ( -1), ( -1), 590172738, ( -1), ( -1), 888713804, 996094049, 215023755, 575783795, 735929561, 880767173, 924730649, ( -1), 377320200, 605011079, ( -1), 538961153, 547095730, 149121469, 878069391, ( -1), 207287536, 752471665, 860197426, ( -1), 598919432, ( -1), ( -1), ( -1), 879364718, 413608912, 402623592, 264319667, 812831503, 228738354, 298881664, 343700393, 395256604, 628281136, 56555490, ( -1), ( -1), 226221475, 722104116, 87647850, ( -1), 572860998, ( -1), ( -1), ( -1), ( -1), 240001413, 868323293, 312675743, 731953765, ( -1), 911552003, ( -1), 423348663, 235622811, ( -1), 349444430, 745168544, 22556286, ( -1), 553054419, 984058353, 328083375, 125126126, 890233819, 169320476, ( -1), 23438239, 982742421, 902353515, 609408649, ( -1), 162965529, 966308386, 806186458, 700101141, 191855818, ( -1), ( -1), ( -1), 304632063, 938875957, 440946017, 48142737, ( -1), ( -1), 741831982, 541754659, 669265086, 56276649, ( -1), 570419537, 834132940, ( -1), 459103994, 446236474, 957086340, 445549983, 662714349, 880430165, ( -1), 915179785, 95389440, ( -1), 21537243, 790240777, 142631868, ( -1), 27837008, 933692192, 510458435, 710553166, 661181037, 627223952, 605061837, 887543700, 678432408, ( -1), 716486113, 777264988, ( -1), ( -1), ( -1), ( -1), 758792096, ( -1), 599372985, 724610248, 24371313, 664879237, 822035330, 809512141, ( -1), ( -1), 891265892, 25774568, 23588385, 751097959, 827424941, 956122101, 892162639, 701372870, 395754766, 594878735, 823287643, 227776098, 977227555, ( -1), 865373786, ( -1), 163169294, 534465159, 597413849, 245020992, ( -1), 738869932, 739749972, 756334366, 972863969, ( -1), ( -1), 439469406, 354143729, 716547079, 926707153, 294608918, 53606111, ( -1), 835249171, ( -1), 440799528, ( -1), ( -1), 448917473, ( -1), ( -1), 703043250, 751033643, ( -1), 898829505, ( -1), 420591237, 460590158, 45493402, ( -1), ( -1), 616160658, 503083391, 597587432, 286245049, 651016276, 832158722, 92636452, ( -1), 524100233, 887209444, 291810844, ( -1), 49810347, 28095404, 740171309, 650107068, ( -1), ( -1), 561063231, ( -1), ( -1), 221938844, 843108254, ( -1), ( -1), 123724741, 709865315, 327291250, 993402719, ( -1), 175964032, 160809181, ( -1), 919954185, ( -1), 633200624, 267615170, 677258130, 808107040, 862733714, 294467170, 168653180, 194161272, ( -1), 890732419, 898100341, 824954090, 748149915, ( -1), 459281660, ( -1), 236321930, 214000787, ( -1), 40964520, 363492995, 62205033, ( -1), 305675665, ( -1), 811446340, 584455261, 437512269, ( -1), 375785141, 507041310, 148454608, 719447369, ( -1), ( -1), 754335127, ( -1), 93173665, ( -1), ( -1), 735650376, 184832396, 490386041, 473874289, ( -1), 771246484, ( -1), 711433897, 384561834, 85510787, ( -1), 703562621, ( -1), ( -1), ( -1), ( -1), 117809050, ( -1), 673357376, 983406379, ( -1), 688318524, 308875786, 500005520, ( -1), 474726410, 406732289, ( -1), 6940591, 22912728, 901744251, ( -1), 567533410, 766936958, 969876196, 248896598, 921399426, 576599139, 3144508, 284511998, 356083306, 870574911, 999139863, 390358484, 705022179, ( -1), ( -1), 581527931, 434053, 606742634, 364205702, 431024632, 833722251, ( -1), 214900145, 762568200, ( -1), 4299000, 193619338, 953627619, 930167583, ( -1), 339610049, 939294998, 275628179, 583405756, 970781528, 236618450, 833365946, ( -1), 236641162, ( -1), 232414783, ( -1), 802084464, 320904325, ( -1), 862001713, 536128121, 215462622, ( -1), 83269066, 78653576, 219733661, 526605408, 74160203, ( -1), 137494754, ( -1), 650710083, ( -1), ( -1), 720058848, 117368000, 160843577, 820773627, ( -1), ( -1), 94364730, 423081129, 312593160, ( -1), ( -1), 328879433, ( -1), ( -1), 821181330, 514766156, 611805615, ( -1), ( -1), 987317181, 527367635, 891849478, 414747548, 313453999, 538797201, 223186218, 22017400, 489215254, 276626663, 178145926, 806069617, 459508030, 588967844, 423319441, 962033040, 370931118, 712372164, 554631140, 953252215, 464006952, 545404029, 661124672, 18014866, 479574236, ( -1), 725981971, 796896272, 141874445, 571222613, 402624164, 211628309, ( -1), 200910292, 441974224, 995968618, 842422545, ( -1), 982575037, 790331793, 292043252, ( -1), 344417950, 232063259, 898150855, 688964790, 427630251, 236248859, 219401874, 907440489, 412385452, 962536642, ( -1), ( -1), ( -1), 728660416, 857637052, 882421255, 148896944, ( -1), 915644694, 465360992, ( -1), 560942018, 526361822, 206459183, 780066714, 738730582, 443683678, 607288125, 141798199, 366510699, ( -1), 108112716, 892515226, ( -1), 769215371, ( -1), 674857552, 773784340, 177683809, 929787430, 792805680, 393077582, 814127630, 809044041, 872652489, 253982851, 236588195, ( -1), ( -1), 323730050, 981006691, ( -1), 186769956, 448552278, 43324097, 678213871, ( -1), 168343412, ( -1), 575663413, 951007276, ( -1), 652746942, 906705224, 386642023, 240215761, 678946988, 678491484, 307582930, 613386374, ( -1), 993221352, 79192019, ( -1), ( -1), 537522990, ( -1), 874965619, 792603386, 540048611, 697497439, 886016688, 459710577, 706838435, 604921742, 416804600, 33247307, ( -1), 206541050, ( -1), 682311116, 44960273, ( -1), 824253505, 546360378, ( -1), 90937921, 287269236, 459760320, ( -1), ( -1), ( -1), 75986991, 911193478, 934006348, 286000102, 406581226, 686656309, 190139257, 963646189, 796137656, ( -1), 945630315, 994054472, ( -1), ( -1), 452066191, 919698243, ( -1), 551823258, 678221492, 464928711, ( -1), 254100270, 637560781, 499242688, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 118806944, ( -1), 504745842, 61281094, 240374717, ( -1), 875976490, 110706177, 542468050, 210662052, 325051455, 876483956, 729701359, ( -1), 545304075, 319510141, ( -1), 580099554, 444323153, ( -1), ( -1), 628924732, 110983642, ( -1), ( -1), ( -1), 554517380, 946966640, 183718707, 291545131, ( -1), ( -1), 771585786, 165586842, 891360379, 88659733, 690450384, 97803026, ( -1), ( -1), 929894395, 507437998, ( -1), ( -1), 10813408, 970376529, 175211041, ( -1), 576304418, ( -1), 562643726, 786747635, 476065887, ( -1), 944188800, 960290965, 638019970, 454206012, ( -1), 251233204, 934697663, 622491362, 809869684, 515266253, 555613160, 375634011, 231127364, 271845572, ( -1), ( -1), 340722060, ( -1), 44720018, 150454353, 332543253, 54888249, 488985961, 524241060, 782831709, 685206484, ( -1), ( -1), ( -1), 23368788, ( -1), ( -1), ( -1), ( -1), 501777847, 787593071, ( -1), 606442603, 666283307, 540683132, ( -1), 756115049, 961001621, 634996805, 270015695, 945667217, ( -1), 642793741, ( -1), 846914203, 899947419, ( -1), 790945032, ( -1), 131520752, 101162391, 619860076, ( -1), 656080970, 788504883, ( -1), 858910998, ( -1), ( -1), ( -1), ( -1), 324135305, 407954721, 790133024, 674056982, 226417669, ( -1), 362472341, 791943617, 34918655, 131823361, ( -1), 744724738, 208813132, 797139788, ( -1), ( -1), 799011821, 418045761, 550271075, 212537395, 977485315, ( -1), 974697536, 870757960, 744642817, 703177968, ( -1), 887149276, 156232077, ( -1), 385575895, ( -1), 830846430, 98849655, ( -1), ( -1), 19026306, ( -1), 577596601, ( -1), ( -1), ( -1), 822045669, 659900878, 677625783, 322353949, 264266415, 450028321, 869279405, 731515862, 362602343, 624054570, 46296883, ( -1), 745696532, ( -1), ( -1), ( -1), ( -1), 75197212, 34140956, ( -1), 332394603, 251204612, 476990493, 828805710, 32309956, 192857697, 111812388, 272375029, 478524948, 93160087, ( -1), 627629884, 324208680, ( -1), 998910881, 923544418, ( -1), 977578125, ( -1), 444504497, ( -1), 307880244, 400365054, 352086118, 924516496, 25916324, 405769529, 414221861, 621473061, 940703206, 42261744, 157648555, 942838866, 608369021, ( -1), ( -1), 360179317, 137093685, 711490410, ( -1), 380953289, 670059760, 802400014, 404087263, 319654340, 44815491, 864818972, 101065299, 517270707, 855123237, 421533745, 928708098, ( -1), ( -1), 763679962, 757352845, ( -1), 678677633, 342301450, 295687954, ( -1), ( -1), 598181395, ( -1), 640098641, ( -1), ( -1), 593564902, 488365264, 757869051, 277208, 565617400, ( -1), 952282891, 82409989, ( -1), 599158710, ( -1), 816263477, 260602631, ( -1), 727196461, ( -1), 587329809, 419594056, ( -1), 298132472, 38331578, 762026664, 51431369, ( -1), 191553981, ( -1), 595481050, 325142346, 833524137, ( -1), 883200760, 823604826, 442023402, ( -1), 927092764, 739727451, 310225567, ( -1), 928233596, 488962534, ( -1), 760736498, 197123807, 225042385, 367136375, ( -1), ( -1), ( -1), 884546223, ( -1), 54351268, 680843579, ( -1), ( -1), 361352471, 114758322, ( -1), 712544928, 3421397, 604051062, 315624716, ( -1), 554938100, 49729429, 408368965, 741925070, 719831732, 332504873, ( -1), 647801185, 496651526, 275587012, 479934921, ( -1), 208854631, 182300208, 353764016, 635133569, ( -1), 287015207, ( -1), ( -1), ( -1), 603208353, ( -1), 572813448, 501297790, 359645484, 794623071, 542695743, ( -1), ( -1), ( -1), 631076262, 717824229, 369977692, 116953421, 715264891, 874811219, 613880167, 121645006, 623387358, ( -1), ( -1), 690840662, ( -1), ( -1), 440233968, 71252039, ( -1), 594789092, 538800850, 227160140, 720053571, 290747792, ( -1), 324941880, 446047039, ( -1), ( -1), 117205422, ( -1), 264366201, 402110568, 406619514, 452829130, 372198805, ( -1), 480044297, 983976087, 418050197, ( -1), 35095552, 989045765, ( -1), ( -1), 489774626, ( -1), 358842657, 718766364, 586338650, 119129215, 353185475, 652270027, 188504524, 374870174, 968534883, 4500953, 852961467, 838035400, ( -1), ( -1), 284723737, ( -1), ( -1), 366375238, 824194566, ( -1), 176184395, ( -1), ( -1), ( -1), 939213517, 644119951, 484702850, 340871075, ( -1), ( -1), 283942350, ( -1), ( -1), ( -1), 213259693, 897031554, ( -1), 174551792, 122618373, 455349462, 398471994, ( -1), ( -1), 798771271, 524814237, 581253208, 776823977, 630616134, 546697472, 691080818, 234339751, ( -1), 821920444, ( -1), 720432110, 692647569, 863962832, ( -1), 291510341, ( -1), 732087197, 983038125, ( -1), 472236759, ( -1), 402216429, ( -1), 616947005, 667727382, 965463163, 533593265, 291425156, 371686976, 412911543, 639399673, 334949816, 82182480, ( -1), 725201269, 442308041, 128635211, 126425295, 993418912, 463264097, 265144826, ( -1), 432464576, ( -1), 364998929, 40248725, 505103424, ( -1), 609939836, ( -1), 632917901, ( -1), 826989211, ( -1), 541634276, 91917037, 23723290, ( -1), 531373045, 910308034, ( -1), 133395121, 293246969, ( -1), 84596423, 398436918, 83944640, 657227481, ( -1), 142230333, 687776813, 994548126, 321214755, ( -1), 977114717, 73990209, ( -1), ( -1), ( -1), 838784753, 189300583, 376865065, 764374381, 434057251, 495253792, 925193967, 762796516, ( -1), ( -1), 898471857, 873442313, ( -1), 820625734, 789527294, 671325641, 990829575, 336899326, ( -1), ( -1), 718734254, 906462697, 449936852, 993008108, ( -1), ( -1), ( -1), 36879025, 666695696, ( -1), 937850892, 237684298, 71679760, ( -1), 448135475, ( -1), ( -1), ( -1), 698878646, 175413490, 214992559, 182513088, 450538223, 531037010, 520235675, ( -1), ( -1), 925740034, 67490657, 983099887, 436560825, ( -1), 260796742, 165739385, 262262598, 49537328, 235926924, 756330069, 639135433, 348507451, 521450122, 301776854, 965804564, 520474470, 605919164, ( -1), 934939567, 48666493, 912434870, 760636136, 156986077, 938893800, 797476806, ( -1), 219241473, 73338095, ( -1), 424654942, ( -1), 815518317, ( -1), 129952140, ( -1), 388896654, 958927767, 320394411, ( -1), 629202648, ( -1), 898995435, ( -1), 921434805, 592085295, 774226685, 647349682, ( -1), 82225876, 440895477, 374583094, ( -1), ( -1), 381149671, 750357607, 713961233, 631040066, 102396333, 228518063, 867808855, 280597334, ( -1), ( -1), 226465363, 985515420, ( -1), 467359798, 893349382, 199006445, ( -1), 846439851, ( -1), 885253625, 282697740, 150507069, 445680709, 852958358, 71347724, 860561032, 545958337, 33203200, ( -1), 620875084, 201991001, ( -1), 424545931, 22369028, 960390528, ( -1), 746339279, 215772947, 730867524, 968731337, 253631476, 531777958, 995358403, 912074904, 587443583, ( -1), 533985414, 384317810, 381286300, 368198117, 243865256, 187805617, ( -1), 447985026, 699102850, ( -1), 278926203, 850379120, 942485985, 274370316, 720895244, 397309650, ( -1), 200534312, ( -1), 67718861, ( -1), 590219032, 863887931, ( -1), 189546691, 49056953, 901741421, 860977151, ( -1), 842021082, 1617953, ( -1), ( -1), ( -1), 534743670, 570493256, 653131787, 422890524, ( -1), 935564268, 987033934, 791602738, 790769720, ( -1), 222341878, 543411897, ( -1), 47989174, ( -1), ( -1), ( -1), 767332077, ( -1), ( -1), 979239716, 838156347, 835652876, 522916295, ( -1), 537909728, 331291201, 391550351, ( -1), 709328796, 514166927, 715710889, 474932527, ( -1), 272726749, ( -1), 178693649, 287438017, 485402421, 815071527, 617217963, 158098934, ( -1), 583664089, 946847407, 12747050, 932888560, ( -1), 623686417, 692603874, ( -1), 68809765, 586960075, 920789290, ( -1), 33614870, ( -1), ( -1), 493336277, 800800723, ( -1), 766052474, ( -1), ( -1), ( -1), 31400040, ( -1), 200636547, 233098664, 686643671, ( -1), ( -1), ( -1), 689467286, ( -1), ( -1), 159187411, 18414582, 656919216, 945272708, ( -1), 396143421, 79334538, ( -1), ( -1), 501315126, ( -1), 98402453, 241646647, ( -1), 253927301, ( -1), 506678869, 873910704, ( -1), ( -1), 984245805, 236508806, 454123727, 14052974, 179802467, 515218388, 420590319, ( -1), 540111282, ( -1), 574856866, 909860933, ( -1), 938767171, ( -1), 112331789, ( -1), 184856548, ( -1), 276059850, ( -1), 543919635, 87935908, 508527455, 20711327, 166150986, 757558616, 437644280, 609878321, 752649707, 817831377, ( -1), 59647314, 885607176, 914394022, 221773677, 969059530, 853932176, 760003259, 844350741, 807414364, ( -1), 391816684, 695338971, 742116367, ( -1), 78964587, ( -1), ( -1), 21067046, 386541023, 605814250, 921850269, ( -1), 621414604, ( -1), 722083799, 458584033, 283522630, 862584130, 688989599, 762787575, 731344829, 45845433, ( -1), 611111463, ( -1), ( -1), ( -1), 409378026, 175624783, 419392783, ( -1), 370129654, 722564089, 72594748, 231209339, 980022506, 832513949, ( -1), ( -1), 481201618, 834907429, ( -1), 87006429, ( -1), 157027001, ( -1), 353180955, 398336962, ( -1), 308187412, 103788260, 485714073, 514491966, 150611826, 410408220, 493836189, 881244909, 598671147, 348520784, ( -1), 926748990, 143242610, 724855706, 846205395, 610081006, 939020368, 344596790, ( -1), 435712419, 979237741, 275923681, 313622874, 721419157, ( -1), ( -1), 258335956, 691133178, ( -1), 704697147, 313926848, ( -1), 615274827, 109096698, ( -1), 382353374, ( -1), 864736278, 492696842, 403356838, ( -1), ( -1), ( -1), 400140766, ( -1), 185139735, 929820075, ( -1), 401146654, 45212659, 893743026, ( -1), 129642129, 65662323, ( -1), 350093938, 435628692, 605185539, 892223188, ( -1), 207561677, 959462778, 653900733, 935993529, 729263242, ( -1), ( -1), ( -1), 886228001, 493052547, ( -1), 132210513, ( -1), 165247543, 421863658, 474906483, 845305826, 41500070, 88357968, ( -1), ( -1), 492096867, 735139146, ( -1), ( -1), ( -1), ( -1), 355813255, 373872106, 243349487, 806874602, ( -1), ( -1), 138631791, ( -1), 805521907, 526418847, 481831977, ( -1), 942982933, ( -1), ( -1), 664648747, 505993528, 311322166, 761928417, 266298279, 503586890, 542254349, 783847366, 174132952, ( -1), 488592965, ( -1), ( -1), ( -1), 631639714, 386385653, 103728881, 634748761, 483714659, 343978068, 77742125, ( -1), ( -1), ( -1), 806345283, 524718609, 217714666, 537125940, 392545014, 55940204, 897377313, ( -1), 197395255, 720399560, 566881132, ( -1), 404309822, ( -1), 442380316, 522014059, 997930947, 189596720, ( -1), ( -1), 97578558, 500872428, ( -1), ( -1), 481750683, 676543540, 445709818, 595717209, 818277253, 675623080, 603478347, 809375788, 393999575, 527948597, 403545096, 113759764, 114142726, ( -1), 522315643, 526821573, 507741797, 279677287, 30470310, 449857343, 931237366, 850237714, ( -1), 505528913, 340733185, ( -1), 264419432, 475944119, 767332436, 837613187, 698640355, 15729915, 699846304, ( -1), 444505226, ( -1), ( -1), ( -1), 397384436, 6377381, 919544671, 84974433, 671388752, ( -1), 297876547, 793683989, ( -1), 566532647, 356903904, 124853857, ( -1), 675491683, 62086528, 218543245, 274981731, ( -1), 598467827, 528453272, ( -1), 895509305, 916016806, ( -1), ( -1), ( -1), 55172407, 99167918, 4783693, ( -1), 112311295, ( -1), 761017035, ( -1), ( -1), 317983342, ( -1), 88050923, ( -1), 781723023, 110184877, ( -1), 360859378, 546811164, 723242864, ( -1), 69647193, ( -1), 311406887, 505813765, 942687132, ( -1), 269720682, ( -1), 962889187, 16228426, 433148425, ( -1), 423968272, ( -1), 611936338, 71007711, ( -1), 881574901, 610528759, 454828827, 261599424, 173818656, 115034987, 368535398, 866583733, ( -1), ( -1), 559912820, 862440791, 520157786, 532865277, 618089307, 926104876, ( -1), 612334249, 998238354, 24738983, 574221293, ( -1), 195937395, ( -1), 962176362, 605898815, 194422713, ( -1), 156204176, 170960267, ( -1), 741678459, 18524138, 856606044, 886284546, 439594289, 360194098, 654436880, 345575391, ( -1), ( -1), 347835401, 755792995, 215739988, 940845598, ( -1), ( -1), 822692746, ( -1), 598321298, 844494041, 7327661, 513342073, 169875862, ( -1), 724775118, 989461914, 842522699, 992881002, 284085599, 675103180, 415457582, 833880499, 566015517, 226654786, ( -1), 474588142, 233300916, ( -1), 295629031, 983149376, 185739465, 511920280, 426860192, 501498692, 677214252, ( -1), 434591121, 757808269, 947278733, 928445402, ( -1), ( -1), 568241395, 807583359, 722445353, 853435805, 831769733, ( -1), 710413415, ( -1), 358199153, 895804594, ( -1), 35402427, ( -1), ( -1), 84538343, 684943494, 181656674, 318154384, 338393117, 311906712, 207033841, 600852962, 452304927, 463010882, ( -1), 615826966, ( -1), 840236232, ( -1), 444083795, 472335492, ( -1), 858067367, ( -1), ( -1), ( -1), ( -1), ( -1), 120911111, 504462408, ( -1), 764620354, ( -1), 926936292, 94532583, 492984066, 116287385, 996713602, 669037147, 994069770, 588950549, 653605479, 478476713, ( -1), 194381119, ( -1), 216894968, ( -1), ( -1), ( -1), 181656939, 299694032, 578236390, 506194479, 161401394, ( -1), 768332453, ( -1), ( -1), 686776499, 192749535, ( -1), 265622784, ( -1), 605641005, 907102497, 42656508, 302689968, 340651621, 57951349, 190658627, ( -1), 322441213, 686406465, 615626266, 268807001, 544457231, ( -1), 787085936, 30461462, ( -1), 126567292, 373022901, 838245983, ( -1), 740534430, 700745979, ( -1), ( -1), 388752450, ( -1), 561968860, 843250501, 903488725, 882838787, ( -1), 578753690, 787486588, 535213100, 546546054, 798101408, ( -1), 983954554, ( -1), ( -1), ( -1), 914724609, ( -1), 761007997, ( -1), 211147105, 498907339, ( -1), 245250226, 303151940, 518589296, ( -1), 787289506, ( -1), 480533759, ( -1), 534421598, ( -1), 335816974, 655890583, 832588118, ( -1), 877640590, 420589117, ( -1), ( -1), ( -1), 61229984, 734911512, 86017455, 261452554, 487358392, 571153212, 740028840, ( -1), 558289500, 155539692, 725767022, ( -1), 811158582, ( -1), 611919513, 767869564, ( -1), 334125382, ( -1), 526149703, 63782224, ( -1), 429786504, ( -1), 57534503, 573136730, ( -1), 378441247, 328574349, 725394622, 417606353, ( -1), ( -1), 872198363, 630550364, ( -1), 692320928, ( -1), ( -1), 75657252, 629807342, 623846043, 904489499, 590843706, ( -1), ( -1), 478458394, 397803321, ( -1), 332549918, ( -1), ( -1), 156880952, 851055599, 692798307, 511563733, 377489965, ( -1), 334498437, 932568846, ( -1), 367578025, ( -1), 163198425, 685032011, 49469563, ( -1), ( -1), 791634218, 38536813, 74435781, ( -1), 767562198, 216580418, 462847983, 725072640, 540126544, 156432353, 208893228, 596746302, 214821238, 839892620, 887970973, ( -1), 939244915, 633746830, ( -1), 600856433, 373400284, 583500901, 512921385, ( -1), 708579085, ( -1), 895067826, ( -1), 710699346, 385126675, 570974295, 940175901, ( -1), ( -1), 425778580, 108724381, ( -1), ( -1), ( -1), ( -1), 253047774, ( -1), ( -1), 385291589, ( -1), 855015791, 25803701, 325266100, ( -1), ( -1), ( -1), 962161785, 511499133, ( -1), 158452950, 599468468, 308002491, ( -1), ( -1), 19965841, 74443067, 212044453, 311959467, 421481201, 660884106, ( -1), 60956902, 771089797, 218104914, 721398819, 285394946, 320244865, 923063519, 66518875, ( -1), 981014984, 646604389, 606829907, 644083062, 97038787, 753544209, ( -1), ( -1), 937136343, ( -1), ( -1), ( -1), 836862808, 51295136, 445889484, ( -1), 166731421, 367902749, 309278280, 668866194, 348818015, 828172309, ( -1), 918158981, 858837074, ( -1), 136768609, 812973085, 542557671, 615337062, 644851501, ( -1), ( -1), ( -1), ( -1), 271496905, ( -1), 898156986, 684174249, 903622659, ( -1), ( -1), 823786036, ( -1), ( -1), 593014708, 562012344, 320289385, ( -1), ( -1), 977289231, 935714305, 812515391, 297096641, ( -1), 756989456, 305406956, 527857132, ( -1), 795583371, ( -1), ( -1), 970119262, 14882320, ( -1), ( -1), 905397396, 662958140, 397966377, ( -1), 304968738, 391580916, 154384810, 791232742, ( -1), 428562676, 250632726, 848783028, 585930138, 288431832, 565770371, ( -1), 450939636, 45121203, 355023299, 693113658, 270964808, ( -1), ( -1), 343939986, 952268591, 821081115, 825061655, ( -1), ( -1), ( -1), ( -1), 780241367, ( -1), 364382443, 629234166, 563796931, ( -1), 492064171, ( -1), 117850532, 257061505, 924635759, 248049718, ( -1), ( -1), 7389480, 537084372, 649886674, ( -1), ( -1), ( -1), 230097940, ( -1), 599925875, ( -1), ( -1), 831945961, 132842491, 733521841, ( -1), 702677436, 477268026, 54084495, 642682571, 605324270, ( -1), 905514117, ( -1), ( -1), 893761935, 619795745, 112163064, 494711963, 189801457, 390740477, ( -1), ( -1), 962933253, 144742356, 564502793, ( -1), 41814209, ( -1), 3482073, ( -1), 332958647, 88886871, ( -1), 649220063, 332591013, ( -1), 958260658, 287076899, 916800227, 709175980, 9874897, 645444599, ( -1), 867142581, 712927169, 13497202, 259360193, 971560846, 830435292, 258192937, ( -1), 652579403, 967532247, 577093005, 204549618, 301156729, ( -1), ( -1), 15394080, ( -1), 15631934, ( -1), 126236337, ( -1), 802712337, ( -1), ( -1), 84365019, ( -1), 784606079, 336489760, 428151998, 309878869, 540133997, 319680548, ( -1), 21295925, 439334130, ( -1), ( -1), 684567875, ( -1), ( -1), 375574605, 211341299, 396224903, 324110801, 555276699, 841206065, ( -1), ( -1), ( -1), 161658884, 348436086, ( -1), 515563123, 506940316, ( -1), 723609952, 906552511, 177993422, 18971636, ( -1), ( -1), 852694568, 633757886, 444963905, 417744208, ( -1), 304275905, ( -1), ( -1), ( -1), ( -1), 304876393, 286264012, ( -1), ( -1), 618033745, 753359678, 358821706, 826223022, 227539870, 767542276, 185560498, ( -1), 704944101, 162069554, 715140653, 505224301, ( -1), 555828270, ( -1), 539343472, 713534979, ( -1), 112864007, 921986501, ( -1), 243388349, 471589253, 728201413, 711829751, 923860150, 73165908, 131470375, ( -1), 182301812, ( -1), ( -1), ( -1), 739219377, 156862890, 500718068, 169100648, ( -1), 755211572, 869656977, 555329948, 622015828, 947722661, ( -1), 885283172, ( -1), ( -1), 768300586, 338814053, ( -1), 115504397, 172265045, ( -1), 398395297, 332331183, 70054143, ( -1), ( -1), ( -1), 345928271, 474480619, 226573853, ( -1), ( -1), 951372548, 416475251, 915513743, ( -1), 890640390, ( -1), ( -1), ( -1), ( -1), ( -1), 294660899, 452520228, ( -1), ( -1), 337005705, 199622721, 190344826, ( -1), 480984894, ( -1), 385924725, 980723916, 209188728, 278043099, 316469276, 292816534, ( -1), 648575992, 674448374, 356097492, 44823042, 418008595, 427122636, 521419507, ( -1), ( -1), 103437710, 692723299, ( -1), ( -1), ( -1), 734642192, 318630466, ( -1), 837492619, ( -1), 80087889, 634441255, 938964729, 834270573, 909606959, 214166288, ( -1), 93784772, ( -1), 814638157, 116344004, 974627695, 821812900, ( -1), 753428792, 289132575, 24721505, 949632021, 112134540, ( -1), 499992458, 374276542, 706047062, ( -1), 2678595, 99707190, 15657426, ( -1), ( -1), 37730795, ( -1), 978021751, ( -1), 112859672, 248250878, 709342867, ( -1), 373952442, 403153744, ( -1), ( -1), 932148584, ( -1), 637783141, 999164572, 932304036, ( -1), ( -1), ( -1), 16281187, 263691601, 190310615, 908288099, 548707221, 166377785, 687922829, 49604603, 84416866, 211992825, 483067028, ( -1), 484138808, 346174499, ( -1), 432751455, ( -1), 943422915, ( -1), 919971673, 241594337, 106749539, 30079469, 793276958, 596648870, 858456071, 535177850, 746166631, ( -1), 87514983, ( -1), ( -1), 350180195, ( -1), 697776664, 54457404, 762952295, ( -1), 261870770, 511048691, 927966480, 797601573, 711078608, ( -1), 704864230, ( -1), 439595756, ( -1), 357109013, ( -1), ( -1), 961087644, 674394807, 743520948, ( -1), 223690285, 916103474, 988353448, ( -1), 712668250, 239328219, 658283486, ( -1), 4807063, ( -1), 167669252, 344180791, 370622549, ( -1), ( -1), ( -1), ( -1), 960001600, 654650163, ( -1), 645507927, 257220364, 887293842, 531998843, 798292404, 965850131, ( -1), ( -1), 647727004, ( -1), ( -1), 942064354, 379210422, 552167266, 447020399, 729781759, 844648976, ( -1), 632346321, 153063366, ( -1), ( -1), ( -1), 453387062, 174659776, 163519278, 647974584, 157230982, 925814241, 496424744, 975539835, ( -1), 586260306, 252746597, 983071044, 754971904, 917770135, ( -1), 656770202, 561283770, 243693402, 115866793, 568127507, 385807589, ( -1), ( -1), 819113910, ( -1), ( -1), 875366286, ( -1), 983050699, ( -1), 482006877, ( -1), 348771453, 551154497, ( -1), 602474110, 946255872, 979213452, ( -1), ( -1), ( -1), 222373483, 274354413, 435638450, 761309918, 631948075, 243254320, 235753355, 802758139, ( -1), 245072160, 537582720, 182005435, 758454890, ( -1), ( -1), 958603051, ( -1), ( -1), 423165648, 305096939, 109464, 42272686, 378541633, ( -1), 713011188, ( -1), 835266091, 759435462, 279006213, 722226847, 972393480, 230978828, 597195923, 931180478, 298040138, 848778665, 868503773, 444767576, ( -1), 336875495, ( -1), 232801753, 208206515, 439046635, 113890827, 246091274, 859255639, ( -1), 464464351, 881554534, 807445837, 7053266, 936007698, 224464963, 496240695, 811108841, 714392279, ( -1), 281199448, 298740289, ( -1), 794521161, 240040912, 2785721, 799301085, 819800717, 748543398, ( -1), 826225143, 881221444, ( -1), 719747631, 421798308, 806981638, ( -1), ( -1), 921608190, 637303645, 652683531, 748972845, 246470723, 559988072, 816789667, 907221179, ( -1), 779625543, 747130278, 286859167, 561511432, 677594253, 62717604, 162357866, ( -1), 164846323, ( -1), 167337854, 22041815, 474484890, 717653735, ( -1), ( -1), 426594521, 562596924, 383457807, ( -1), ( -1), 196094627, 408440773, 127286459, 106830885, ( -1), ( -1), ( -1), 931902162, 915263933, 586542688, ( -1), 673367555, ( -1), 932125166, 626774755, ( -1), ( -1), 439683892, 854522941, 622447320, 141773047, 714773658, 709498690, ( -1), 945340548, ( -1), 551727990, ( -1), 746520583, 3408366, 699588326, 168954127, 45204087, 147529526, ( -1), ( -1), 162613275, 101840522, ( -1), ( -1), 942649403, 220091095, ( -1), ( -1), 843074346, 214094214, ( -1), ( -1), 269784890, 226089517, 753061490, 323268481, ( -1), ( -1), ( -1), ( -1), 816735649, ( -1), ( -1), 44828643, 347070028, 997521353, 358963524, 171728262, ( -1), 275393931, 481312414, ( -1), 631667245, 323107194, ( -1), 625307473, 48893152, 111399976, 693947506, 657331078, ( -1), 530963683, 527559967, ( -1), 787728835, ( -1), ( -1), 799361065, ( -1), 987875872, ( -1), 678529678, ( -1), 30884397, 327703776, ( -1), 588098814, 352169314, 502884232, 477146755, ( -1), ( -1), 277838123, 670527357, 53686733, 897833826, 433222596, 314338866, 982391899, 313037783, 496159976, 866540822, 591156457, 278967940, 194906023, ( -1), 926086514, 176731393, 317264014, 121094381, ( -1), 503225849, 408765295, 262721500, 699768149, 9915891, 488252614, 294714346, ( -1), ( -1), 395704895, 359145712, ( -1), 822846864, 146809244, 128791667, 325085300, 254473390, 686751742, ( -1), 866573114, 830076250, 667384716, ( -1), 520381475, ( -1), 604410460, 449967293, 346798486, 739412278, 48348446, 706967034, 515187798, 310081040, 587150109, 108243380, 600834113, 611101813, 165298820, 630456607, 867970317, 888500529, 180578807, 432213949, 767405680, 946042857, ( -1), 245165055, 881496038, ( -1), 832707985, ( -1), 193129619, 771270357, 309176089, ( -1), 30937590, 620371694, 185716856, 309514325, ( -1), 506241901, 707184244, 759250872, 317771078, 967386792, ( -1), 350300732, 211194257, ( -1), 883372504, ( -1), ( -1), ( -1), 393287436, 341144467, ( -1), ( -1), 951994511, 575180594, ( -1), 840959327, 734927407, 3925045, ( -1), ( -1), 447015369, 719721659, ( -1), ( -1), 550325320, 768434194, 14171389, 505339386, 37675434, 392936434, ( -1), ( -1), 879799370, 798237607, 4869543, ( -1), ( -1), 592977913, 52079057, 577651681, 418712588, ( -1), 678174401, 877694718, 667995294, ( -1), 131072205, 742668026, ( -1), ( -1), 381195721, ( -1), 306084335, 927879283, 6018131, 409781494, 642746344, 329031254, ( -1), 317561146, ( -1), ( -1), ( -1), 93445036, 493418708, 797774029, 424660242, 88675037, ( -1), 457809408, 220971346, 595174765, 208061250, 127150682, 802109290, 356407546, 399478465, ( -1), 282148029, ( -1), 301681185, 416601418, 526156105, ( -1), 752894566, ( -1), 999364505, 677376676, 64462862, 112582681, 378823723, 872081149, 660329696, 256234303, 402701388, ( -1), ( -1), 655121694, 612628987, 635244836, 316092620, 964090275, ( -1), ( -1), 572915348, ( -1), ( -1), 599163420, 642887810, 710768885, 389856178, 231748810, 56422068, 64615383, ( -1), 590253856, 408342579, ( -1), 883755264, ( -1), ( -1), ( -1), 313735160, 152221942, 763348122, 976217536, ( -1), 241092041, 362580072, ( -1), 962387366, 119037407, 56670165, 382352904, 470422916, ( -1), 228555290, 721447035, 979428969, 847415091, ( -1), 714007094, 936351138, 748772484, 724214338, 206813085, ( -1), 853321410, ( -1), 676008290, ( -1), ( -1), 532681092, 368134922, ( -1), ( -1), 363119376, 227242944, ( -1), 412466740, ( -1), 934111158, 196979399, 196728684, 357126765, 703299925, 801932131, 789486797, 69774706, 785621906, ( -1), 762017746, 161712365, 766280530, 312946167, 549170416, 13333361, 786879745, 829761119, 185516148, 407195889, ( -1), 823622705, 436974376, ( -1), 654357908, ( -1), ( -1), 937179177, ( -1), 612283949, 823480034, 126071137, 852593377, 977614383, 167653283, 343874031, ( -1), ( -1), 435466228, 442601586, 262504894, 522742388, 858439483, 754582700, 778460858, ( -1), ( -1), 558365470, 475307472, ( -1), 417862103, 679715222, 178517022, ( -1), ( -1), 248728928, 383136608, 903281627, 582873745, 820479145, 887393541, ( -1), 149551176, 240907547, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 968185681, 255246486, 888538156, 53335140, ( -1), ( -1), 387949797, 437707884, ( -1), 765904271, 164608657, 913053641, 40977940, 55311435, ( -1), 53238268, ( -1), ( -1), 417302974, ( -1), ( -1), 298382574, ( -1), ( -1), 515209466, 373242079, 823232743, ( -1), 999327900, 246694356, 940464961, 322468288, 716998593, 480540504, 192800774, 98996669, 727832686, ( -1), ( -1), ( -1), 256690289, ( -1), ( -1), 46562551, ( -1), 363143919, 632891915, ( -1), 888026553, 142721069, ( -1), 391219017, 489384239, 175612748, 154196093, 978265342, 281683413, 936627507, 667522068, 732942291, 527903767, ( -1), ( -1), 508278248, ( -1), ( -1), 775079665, 158172657, 730757010, 265634071, 884253108, 988225956, 829495745, 450546444, 855179122, 502814950, ( -1), 628341961, 448420528, ( -1), 316607565, ( -1), 712802165, 511721998, 84017174, 483625515, ( -1), ( -1), 850752078, ( -1), 856047231, ( -1), 285470951, 605587288, 489633258, ( -1), 783295501, ( -1), ( -1), 266466083, 409249045, ( -1), 929661504, 100754749, 456838106, ( -1), 842007304, 575246413, 564356186, 521948113, 800390165, ( -1), ( -1), 273481770, 913777264, ( -1), ( -1), 849846095, 483607602, 979144512, 391450837, ( -1), 615854326, 272072399, 933237110, 843166673, ( -1), 816961250, 819643183, 449219324, ( -1), 170302297, 787068965, 665015284, 879379207, ( -1), 835859942, 467412707, ( -1), 75148013, 282715462, 84631727, ( -1), 642112845, 190731193, 178592304, 550189025, 314048949, 918205667, ( -1), 963403509, ( -1), 725795573, 966810778, 997714140, 121268709, 496014975, 828991572, ( -1), ( -1), 961792415, 406398554, 787861892, 19347378, 25121821, 810317187, ( -1), 600299411, ( -1), ( -1), ( -1), 51419687, 655607818, 686402962, 704974992, ( -1), ( -1), ( -1), 487991034, 932024050, ( -1), ( -1), 229463430, 808730095, 895999703, ( -1), ( -1), 533164213, 767736890, ( -1), 147536417, 416721388, 801805566, 296296292, 30519968, 884344875, 226523532, 869134317, ( -1), 72193493, 131848489, 274403288, ( -1), 688430572, 70632364, 650382775, 95520823, 654854578, ( -1), ( -1), ( -1), ( -1), 52723654, 737209653, 671930639, 166023803, 558307768, 288170300, 485662422, 295261754, 502849344, 987980162, 593682266, 463580936, 774050665, ( -1), 3098197, ( -1), ( -1), 209493041, 592613488, ( -1), 267888549, ( -1), 843068733, ( -1), 491859980, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 623388650, 703432704, ( -1), 221638250, 606244744, 921338411, 632049593, ( -1), ( -1), 183572399, 23291110, ( -1), 452508420, 490687002, 39157426, ( -1), 833249149, 714692795, 473241133, 110874778, 551445112, 923745269, 662604792, 126646214, ( -1), ( -1), ( -1), 467624827, ( -1), 283352757, 47222146, ( -1), 276556616, 799446717, ( -1), 630472612, 322568711, 923453169, ( -1), 812627356, ( -1), ( -1), 473303651, 112433780, 106441945, ( -1), 650142976, 871402428, 981666177, 882927877, ( -1), ( -1), 300812398, ( -1), 837351473, 246847253, ( -1), 500363118, ( -1), 11461755, ( -1), ( -1), 124758821, ( -1), 268446096, ( -1), ( -1), ( -1), 656509000, ( -1), 906814325, 978555204, ( -1), ( -1), 76461817, 714133394, ( -1), ( -1), 424076967, 71316495, 815271254, 486454498, 624824764, 766888418, 388429625, 337893369, ( -1), 370311326, 759508185, ( -1), 902860357, 550943324, ( -1), ( -1), ( -1), 84669415, 260825717, ( -1), 332681451, ( -1), ( -1), 552106305, ( -1), ( -1), 734800369, 454904617, ( -1), 383503269, ( -1), 364336474, ( -1), 607044735, 940700090, ( -1), 170906893, 446008971, 498327382, ( -1), 261571707, 393405399, 178041754, 35982617, 241932337, 166367141, 137290907, 18733498, ( -1), 40489267, 895734916, 801451049, 130645654, ( -1), 666570030, 605351744, ( -1), ( -1), 62287294, 9617479, 159628416, 962268033, 718730995, 835275370, ( -1), ( -1), 730188345, ( -1), 345750317, 81660700, ( -1), 845845580, ( -1), 199577642, 60596273, 673599630, ( -1), 412176600, 188761844, 899262017, ( -1), 339432187, ( -1), ( -1), 963685901, 22907066, 847181208, ( -1), ( -1), 181748133, 264341598, ( -1), ( -1), 591917751, 158038277, 703646855, 442704652, 916942369, ( -1), ( -1), ( -1), ( -1), 629730365, 658559502, 192253195, 848412654, 60438632, ( -1), ( -1), ( -1), ( -1), 420791154, ( -1), 41224849, 671246479, 907863689, ( -1), ( -1), 645455017, 835077928, 954100562, 689591673, ( -1), ( -1), 188761446, 174742502, ( -1), 197399254, 739728736, 847121270, 789528652, 124837600, ( -1), ( -1), 545847501, 556043940, 112559620, ( -1), 489415736, 24431161, 893162528, 433199833, 307171544, 768222877, 349315112, ( -1), ( -1), 826056434, 850924603, 488758387, 768844395, 237674452, 861520153, ( -1), ( -1), ( -1), 881591369, ( -1), ( -1), 656198155, 84408378, 519505703, 748409510, ( -1), ( -1), ( -1), 471210423, 811798263, 852599665, 819353546, 123049465, ( -1), 779611108, ( -1), 369843098, 133746241, ( -1), 385827426, 841771585, ( -1), 183119024, 946285543, 853750002, ( -1), 563486280, 609772004, 413495454, 564268541, 426629429, 855646395, 447947476, ( -1), 489492316, 94552626, 616661766, 228767758, 440220104, 245861730, ( -1), 778967454, 630531402, 218882570, 492917274, ( -1), ( -1), 699274269, ( -1), ( -1), 375288486, ( -1), 369824029, 416407137, 223891180, 518962031, ( -1), 465996388, 588979618, ( -1), 834033980, 481150071, ( -1), ( -1), 335487924, 362178015, ( -1), 579272650, 950937670, 952157060, 512540591, 965585336, 798297311, 243258896, 347261436, ( -1), 462301734, ( -1), 258066193, 774554096, ( -1), 823355138, ( -1), ( -1), 717382669, 891409647, 662209012, ( -1), 942097430, 46380380, ( -1), 912542146, 909182255, ( -1), ( -1), 672261687, 851394900, 289107309, ( -1), 350901715, 909972777, ( -1), 697758568, 152085326, ( -1), ( -1), 577305064, ( -1), ( -1), 215434934, 427849237, 551705182, 150530016, 756296558, 656206179, 419336403, 160860824, 460568293, 746396166, 542920463, 934221348, 752205870, ( -1), 244906337, 660921646, ( -1), ( -1), 873344290, 559309327, 469856227, 291127842, 879463805, 432534890, 946874291, 99135303, 700869518, ( -1), 516394924, 837882268, 399048708, 644409088, 616399487, 529585491, 317843119, 515948699, ( -1), 644186382, 447588630, 36656207, 25391758, 237511666, 322224016, 606729758, 202590248, 905840537, 537153281, 919931136, ( -1), ( -1), ( -1), 463177069, 252612927, 343362829, 666361099, ( -1), 287959048, 639389512, 438112684, ( -1), 552733105, ( -1), ( -1), 367778203, 145996919, 600198114, 491096860, 511471348, 237855215, ( -1), 112743869, 741978929, ( -1), 345366861, ( -1), ( -1), 241152980, 304459576, 969113932, ( -1), 624938174, 350292069, ( -1), 269951850, ( -1), 753212078, 345936917, ( -1), ( -1), 767428910, 249133251, 516934542, 630620823, ( -1), ( -1), 924794443, ( -1), ( -1), 413451834, ( -1), 351579041, 86498496, 475681932, ( -1), 387368875, 756720862, ( -1), ( -1), 53146142, 400342428, 349444071, ( -1), ( -1), 331878100, 978107778, 687069171, 995400077, 655767412, 983569674, 683277870, 957017078, 416752318, 322699623, ( -1), ( -1), 583491553, 207346440, 848542886, 180634327, 431143469, 542463754, 809106009, 318093597, 784795466, 824346443, 300830165, 345238466, 485998103, 812687451, 347840713, 692257058, ( -1), ( -1), 437437541, 993427450, ( -1), 538934923, 889338893, 111543589, 970436994, 631643824, 814632162, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 426641298, 447322887, 283616595, 440433792, 621285839, 980146873, 893240414, 453809319, 484322613, 493978692, ( -1), 618520617, ( -1), ( -1), 312191868, 603282923, 414788528, 683324026, 830007072, 292130958, 231033989, 104177034, 279250302, ( -1), 51238488, 93646816, ( -1), 608179476, 173907012, ( -1), 888150134, 627756978, 919651996, ( -1), ( -1), 251516178, 563489957, ( -1), 901887312, ( -1), 312562082, 637656208, ( -1), 39913281, ( -1), 826644993, ( -1), 19318270, 151575934, 356334675, 803530996, 802545494, ( -1), 458024287, 251700598, 50045123, 663724150, 205220591, ( -1), 540635895, ( -1), 905684325, 331521569, 622684640, ( -1), 471228194, 244435088, 279482470, 616252083, 731464180, ( -1), ( -1), ( -1), 830569972, ( -1), 85579063, 872543501, ( -1), 63347860, 134073449, 757926225, 753961440, 909326126, 14387109, 835581388, 976407043, 687523433, ( -1), ( -1), ( -1), 733852239, 752444392, ( -1), 649718377, ( -1), ( -1), 477274619, 776643694, ( -1), 556137402, ( -1), 12818572, 915761347, 750969442, 241599807, 454157138, 762339719, ( -1), 550526938, 664098137, 40430929, 765384958, 260896983, 40177286, 946644916, ( -1), 312511374, 94023687, ( -1), 606216014, 985963815, ( -1), 569192332, 139450697, 843669544, 623662101, 394820303, 674527048, 121419625, 794556118, 580389423, ( -1), 487956652, 194576075, 328843206, 282484828, ( -1), 300546887, 848690074, 867756436, 548204304, 801638012, ( -1), 698586647, 995434591, 906686491, 832506063, 848561504, 455766755, ( -1), ( -1), 965926238, 590597125, ( -1), 496423117, 828510503, ( -1), ( -1), ( -1), ( -1), 628823785, 446604754, 925848919, 378796133, 374438702, 343585894, ( -1), 862086516, 102807408, 975550837, ( -1), 815015080, 601004821, 908746283, ( -1), ( -1), 587658414, ( -1), 438644999, 864617444, 743820149, ( -1), 146733595, ( -1), 809564890, ( -1), 795466953, ( -1), ( -1), 600880010, 139872617, 988467956, ( -1), ( -1), 139855069, 160188027, 473816098, 139236089, 123149894, 317757429, ( -1), 586880970, ( -1), 989571869, 341360174, 82152295, 316587049, ( -1), 544157900, ( -1), 458474515, 402254114, ( -1), 795371184, 103657376, ( -1), 628949650, 345512941, ( -1), 951516070, 793913927, ( -1), 360796003, 920753479, 260565282, 427806472, 521969385, 20290005, 270079877, 243841555, 966821709, 781911391, ( -1), 359345682, 264916680, 97883149, 539441308, ( -1), ( -1), ( -1), 477475932, 33190620, ( -1), 999223822, ( -1), ( -1), 144333047, 32073002, 517017687, 538804266, 518747764, 399406908, 38148536, ( -1), ( -1), ( -1), 299117772, ( -1), 464037690, 442217471, 239203759, 593286650, 895849321, 813554504, ( -1), 143164634, 871755699, ( -1), 846352651, ( -1), ( -1), 864478580, ( -1), 261583978, 843662537, ( -1), 208877829, 554538019, 779929219, 507886644, 556038014, 339975873, 965315398, ( -1), ( -1), ( -1), 538789747, 799613369, ( -1), 673568799, 349047562, 391044391, 233995885, ( -1), 157378084, 203583292, 977275883, 277611612, ( -1), 524346359, 996799567, ( -1), 576223179, ( -1), ( -1), 428797856, 99686900, 316710014, 20115725, 553400860, ( -1), 726102152, 399869155, 771028705, ( -1), 703650744, 43876521, 282789630, 444529246, 361938716, 540968978, 792636478, ( -1), ( -1), 945135199, 449933432, 903219500, 821152681, 673926794, 446603377, ( -1), 631201840, 219548058, ( -1), 830561751, 961271434, 733569608, 79882884, ( -1), 23134466, ( -1), ( -1), ( -1), 280844614, ( -1), 109516317, 793226077, 706346204, 41199894, ( -1), ( -1), 502192298, ( -1), ( -1), 333695775, 796640796, 302996583, 102432693, 780740854, ( -1), ( -1), 819256554, 648103331, ( -1), 122554013, 172165066, ( -1), ( -1), 153263798, ( -1), 855628091, 696914014, 243820724, 726400960, ( -1), ( -1), 236650960, 977931696, ( -1), ( -1), 995201316, ( -1), ( -1), 704240353, ( -1), 734992105, 473142194, 297225237, 444646025, 892295529, ( -1), 208830540, ( -1), 621883479, 981464279, 302881784, 285472594, 212430608, ( -1), 256901287, ( -1), 829024572, ( -1), 920109828, 638977099, 497417475, 428718419, 757452289, ( -1), 755132848, ( -1), 803826873, 41358584, 119440131, ( -1), 754043942, 754449865, ( -1), 329147596, 992564690, 618632254, ( -1), ( -1), 316433443, 857402073, 751495386, 366937725, 885243751, 703956359, ( -1), 320634524, ( -1), 209947790, 258212791, 736100206, 159494001, 64848241, ( -1), 77755745, ( -1), ( -1), 572287038, 571575436, 463238489, 869166484, ( -1), 116440756, 147472476, 439992038, ( -1), 27164600, ( -1), 484446623, 529726002, 707445564, ( -1), 857661143, ( -1), 332973653, 359753532, 774433066, ( -1), 630505306, 666948910, 595377441, 283619950, 349978502, 148750032, 895582106, 404275818, 811652891, ( -1), 876136776, 837525372, 920013416, 114930347, ( -1), 623195570, 538165214, ( -1), ( -1), 682286032, 635675093, 165084268, 733812839, ( -1), ( -1), ( -1), 944001075, ( -1), 399709231, 627981638, 878973467, 429755451, 780410489, 798968963, ( -1), 431294805, 328175695, 946175276, 106217208, 246306, ( -1), 985083018, 902292327, ( -1), ( -1), ( -1), 223436841, 852522473, ( -1), 408995123, 837084313, ( -1), 194933876, 659013943, 877148857, 236417014, ( -1), 487990029, 113473317, ( -1), 301144050, ( -1), 306539199, ( -1), ( -1), 102224352, 147753214, 327876730, 204350648, 420676569, 749805840, 384220865, 661570766, ( -1), 692833801, ( -1), ( -1), 910448048, 563984455, ( -1), ( -1), 718028407, ( -1), ( -1), ( -1), 120994065, ( -1), ( -1), 573865217, 717458660, 709620833, 856649051, ( -1), ( -1), 712971446, 564073096, 990634359, 397989984, 40283186, ( -1), 341836667, ( -1), 338391090, 110663437, 207137005, ( -1), 703535660, 78176444, ( -1), 381864441, 938255819, 467033709, 166623393, 794064955, 636280092, 923557476, ( -1), 886099019, 449173192, 48367933, 594299384, ( -1), ( -1), 122722703, ( -1), 498077422, 438989167, 717109573, ( -1), 937654721, ( -1), ( -1), 670265173, 68653912, ( -1), 56309167, 958788444, 837220463, ( -1), ( -1), 113178252, 569408307, 945485832, 132048865, 694806942, ( -1), 562934099, ( -1), 637545835, 375072150, 821976143, 167996806, ( -1), 510515000, 316649390, ( -1), ( -1), 5959665, 579462613, ( -1), 210917204, 305762788, ( -1), 947833983, ( -1), 54403441, 564616239, 875428500, 741743017, ( -1), ( -1), 138475540, 822600368, 501555361, 475329347, 64904548, 468580552, 950965726, 728533508, 470572453, 300057486, ( -1), ( -1), 6823763, 307399393, 794028214, 303672297, 414160420, ( -1), 542109714, ( -1), 833797319, 125521839, 336990526, ( -1), 709732905, 774315655, 18911795, 59061603, 787417414, ( -1), ( -1), 907939112, 40685909, 207409723, ( -1), 304431770, ( -1), 299257092, 953798033, 607593885, 443064709, 648794978, ( -1), 393467010, 773862856, 325963095, 83057313, ( -1), 944478490, 601802536, 505538559, 986965145, 521864862, ( -1), 257068082, 448725577, 333850426, 765504113, ( -1), 531502537, 175106578, 745911858, 213773200, 72619826, 750700131, ( -1), ( -1), ( -1), 997804270, 27052523, 351019384, 951588275, ( -1), ( -1), 227695077, ( -1), 438415179, 59721330, 671143168, 127381322, ( -1), 6608690, 113008634, ( -1), 839905889, ( -1), 764392727, 355006321, 529739080, 672487216, 507053247, 137879463, 646307390, 744254936, ( -1), ( -1), 836541665, 407955172, 142911880, ( -1), 335817583, ( -1), 49413120, 496695532, 811486241, ( -1), 925410254, 932512525, 458660686, 549502368, 445777183, 910944771, 444703146, 409501636, ( -1), 284336130, 522617897, 585652563, 812551497, 353562579, 50053074, ( -1), 244722397, 832648398, 817764935, 149975080, ( -1), ( -1), 56631758, 452146050, ( -1), 418574548, 964928719, ( -1), 686229463, ( -1), 745625089, 573465150, 958115975, 662075577, 605914693, 369951908, 638797249, 273750884, ( -1), 363495822, 912729879, 329131566, 155021494, ( -1), ( -1), ( -1), ( -1), ( -1), 959122219, ( -1), 861935282, 249526534, ( -1), 792484527, ( -1), ( -1), ( -1), ( -1), 701243475, 480013178, 160609880, 698510677, ( -1), ( -1), 34542408, 546331319, ( -1), ( -1), ( -1), 93491670, 321454767, 815609539, 891329422, 942208176, ( -1), 278657999, 711399680, 58320898, 838024321, 753842929, 193076178, ( -1), ( -1), 552638865, ( -1), 676251800, ( -1), 613387414, 952202601, 889725625, ( -1), 293025343, 466479229, 789481362, 498920865, 34319438, ( -1), 536415192, ( -1), 787624833, ( -1), 348706960, ( -1), 779555232, ( -1), ( -1), 541610429, 486989940, ( -1), 376229430, 731511027, 450650540, 776319272, 814419801, 827270292, ( -1), ( -1), 186794638, 130529203, ( -1), 331404793, 198961865, 874945007, 218103264, 157740599, 833289548, 884359651, 647077140, 879567146, 643518140, ( -1), 391091496, 588272920, 637703486, 413728910, 877728502, 895679855, 821482053, ( -1), ( -1), ( -1), 147800425, ( -1), 120121009, 787527783, 226617961, 673566417, ( -1), 962402979, ( -1), 679390936, 62502150, 399431052, 529953596, 70858021, 881102831, 296706129, 141100518, 759557423, 715485010, 913484841, 852241565, 623034647, ( -1), ( -1), ( -1), ( -1), 711684263, ( -1), 17679269, 150027609, ( -1), ( -1), 873857031, ( -1), ( -1), 442519303, 217613752, ( -1), 421244728, 462300133, 479403276, 167627815, ( -1), 12189401, 977105865, 59705843, 583654428, ( -1), 367477876, ( -1), ( -1), ( -1), 206236205, 589172960, 834404997, ( -1), 875555014, 151023726, 57894687, 469260910, ( -1), 997651978, ( -1), 980067251, 412135974, 809183390, 820908513, ( -1), 496489207, 882074116, 381600747, 385806253, 792441499, 810889617, ( -1), ( -1), 596858510, 998945202, 284408290, ( -1), 923676589, ( -1), 899365202, 201509140, 296248683, 865883714, 343960528, 544083505, 472780634, 400250760, 969540385, 990682447, ( -1), 254865300, ( -1), 162252191, 993573268, 13411910, 574294875, 338281860, 766595529, 857992515, 905167227, ( -1), 612404569, ( -1), 501846352, ( -1), ( -1), ( -1), 884779237, 585607828, 48263539, 469481313, ( -1), ( -1), 141210473, ( -1), 910806531, 15259554, 66941769, 347059434, 169052774, ( -1), 899377315, 952298170, 182053107, ( -1), ( -1), ( -1), 852521059, 854999513, 322131968, 840147697, ( -1), 548174924, 572059718, 551964925, 363829597, ( -1), 617362935, ( -1), ( -1), 725970171, ( -1), 927495304, 976858327, ( -1), 729785784, 760266201, 533113581, ( -1), ( -1), 600779481, 74974853, 782478560, 284939303, 995835914, ( -1), ( -1), 210485793, 151748642, 435158305, ( -1), 330413958, ( -1), ( -1), 365330819, ( -1), 694336616, 188581819, 669229518, 699221095, ( -1), 313718483, 275474209, 654555209, 99826111, 57699615, 791776756, 656192704, 41671527, 448028588, ( -1), ( -1), ( -1), 408252114, ( -1), ( -1), 25257195, 164317005, 58026318, ( -1), 641032423, 641953711, 60406157, 267210231, 339628063, 280397607, 729323254, 104015990, 562605296, ( -1), 600153418, ( -1), ( -1), 973797965, 494711440, 557102746, 483574896, 724819157, ( -1), 806956931, 841720793, ( -1), 564626318, 598007937, 31538957, 194608277, ( -1), 587421950, 596091490, 74410139, 969971789, 179549532, 709838869, 985357430, 996691924, 837108027, 268133849, 119337402, 321964713, 77289448, 927011334, ( -1), 55095935, 592260914, 271624761, 812161753, 810677469, 495188974, 404295672, ( -1), 65570760, 647637521, ( -1), 539855783, 98981438, ( -1), 416715754, 130438443, 35809293, ( -1), ( -1), 415969034, ( -1), ( -1), 188800817, 275205525, 306581937, ( -1), 716640235, 146635938, 115219408, 542247984, ( -1), 796802227, ( -1), ( -1), 355805116, 223461934, 533762232, 577751344, 34324544, 896027823, 401339164, 434722597, 504419334, 319619002, 212241294, 303377257, 806115735, 814975864, 555845263, 343678580, ( -1), 13884300, ( -1), 824787491, 976070082, 847098745, ( -1), ( -1), 539045364, 320856884, 919729242, ( -1), 712378571, ( -1), ( -1), 445396945, 132775703, 470540349, 558381554, 132246424, 272530490, ( -1), 814271646, 923847553, ( -1), 794514908, 404300332, 25824149, 671805464, ( -1), 741697195, 393274797, ( -1), 511053274, ( -1), 396790862, 706781901, ( -1), 440699438, ( -1), 186683515, 139229532, 772255207, 314611053, 847413316, 887868413, 972208465, ( -1), ( -1), ( -1), ( -1), ( -1), 767212885, 43950078, 604373791, ( -1), 702692221, 390596530, 651699187, ( -1), 399843754, 774061818, 409096510, 568760766, ( -1), 683489805, 851416209, ( -1), 329546286, 900300280, 992076375, ( -1), 924806062, 133361643, 161105957, 710273610, ( -1), ( -1), 555186147, ( -1), 737129038, 285861908, 258024738, 157613272, ( -1), 776955617, ( -1), 487271295, ( -1), 340277942, 63622248, ( -1), 257701302, ( -1), 435171945, 494007955, 833625219, ( -1), 381299150, 6041679, 377540657, ( -1), 219000396, 578786984, 579724057, 866057131, 223213587, 840822700, 141017285, 638096159, 727062252, 803278479, 138651843, 338013212, ( -1), 414610811, 736436807, 573873941, 781140181, 490737992, ( -1), 533060736, ( -1), 863319495, 95485043, 7226393, ( -1), 140271876, 115348277, 540982035, 144478961, 201609788, 179046844, 339657601, 494753202, 492425178, ( -1), 266783553, ( -1), 51925954, 537318394, 584909105, 944834484, 282074468, 938028537, 472855164, 848956401, 481231761, 483561052, 932155647, ( -1), 377832718, ( -1), 767569269, 547218636, 297726206, 922917870, 456144717, 846868074, 687593200, 48633008, ( -1), 942411585, 792579001, ( -1), ( -1), ( -1), 516039366, 831774756, 537478094, ( -1), 112686619, 434987652, 101683590, ( -1), 538178108, 674836566, 588106043, 610976558, ( -1), 986828563, ( -1), 555177062, ( -1), ( -1), ( -1), 275367086, 831368392, 459660392, ( -1), ( -1), 57956756, ( -1), ( -1), 727958744, 508074367, ( -1), 291020074, ( -1), ( -1), 209296388, ( -1), ( -1), ( -1), 637760401, 45617847, 437281038, 687425837, 57605826, 343270097, ( -1), ( -1), 962151804, 494663442, 843563292, ( -1), ( -1), 208170383, ( -1), 75013042, ( -1), 735417038, 940177623, 548434291, ( -1), ( -1), 507790281, 766268792, 823563117, 85644107, ( -1), 196414122, 198424438, 736493762, 107957458, 200761384, 897771491, ( -1), 671803053, ( -1), ( -1), ( -1), 250534881, 564677953, ( -1), 875399858, 478068594, 148910448, ( -1), 20082524, ( -1), ( -1), 372319635, 16489037, 449170258, ( -1), ( -1), 905846439, 476275910, ( -1), ( -1), 647181954, ( -1), 52237688, ( -1), ( -1), 270353576, 424398370, 311586290, ( -1), ( -1), 758961385, 179585530, ( -1), ( -1), 443604172, 189444193, ( -1), ( -1), 983855492, 910063598, ( -1), 287712134, 423642448, ( -1), ( -1), 819423094, 645835299, 9421018, ( -1), ( -1), 8673199, 166374605, 462196689, 604315373, 891778701, ( -1), 354605997, 52005724, 929429957, ( -1), 666541525, 821713239, 589517371, ( -1), 668239553, 969380824, 365082119, ( -1), 702027023, 347601320, ( -1), ( -1), ( -1), 668510902, 330455340, 967355621, ( -1), 286728395, 505057714, 413550942, 528523295, 349297886, ( -1), 939226446, 975220722, 301123192, ( -1), 565248824, 908393944, 99609540, ( -1), ( -1), 913481298, 707413454, 807160680, ( -1), 376654297, 728887070, 832239729, 556089673, 891166594, 361427253, 82074386, 310468212, 770276998, 893018681, 217057790, 761587068, ( -1), 237225667, ( -1), ( -1), ( -1), 180220600, 680868047, 377155143, 413256755, 893189910, 412636068, 662958217, 212287912, 805574853, ( -1), ( -1), ( -1), 767947310, ( -1), 955494548, ( -1), 161140093, ( -1), 880706446, ( -1), 290999722, 118848347, 63697301, 580613872, ( -1), 187108187, 675750566, ( -1), 935716812, 949230906, 268941214, 532432924, 898796406, ( -1), 730298621, 70444558, 79872711, ( -1), 335889123, 318625655, 263544623, 247456157, 682352057, 98209354, ( -1), 345573524, 580344967, 738942400, 24086910, 133302108, 442606383, 660861546, 91081031, 964795567, ( -1), ( -1), ( -1), 331171388, 870150641, 942008675, 560813501, 486517996, 92052220, 237359005, ( -1), 960821024, 493181803, 787414469, 447061212, 102449887, ( -1), 552283478, 932856483, 174560098, 69876653, ( -1), 404576904, ( -1), 90859429, 575692722, 240382181, 228218049, ( -1), 379115930, 441734460, 372973758, 261588036, 458439464, ( -1), 530492, 231720015, 658824252, 319815897, 14416185, ( -1), ( -1), ( -1), ( -1), 550398287, ( -1), 580847706, 237572568, 927833798, 191141500, 979986118, 317060049, ( -1), 291926150, 490870945, 683826057, 280709953, 846449256, 74476486, 627523608, 559165341, 265347695, ( -1), ( -1), 898336788, ( -1), 164957019, ( -1), 96067098, 445636243, 694252208, ( -1), 392316127, ( -1), ( -1), ( -1), 886669004, ( -1), 26727468, ( -1), 967844603, 924983, 9633307, ( -1), ( -1), ( -1), 158528806, ( -1), 101719990, 207739461, ( -1), 954456881, ( -1), ( -1), ( -1), 775396862, ( -1), ( -1), 198762371, 928783905, 705418058, ( -1), ( -1), ( -1), 791451423, 790492512, 843866992, ( -1), 301535434, 742061054, 691028157, 730607642, 21407992, 816073016, 318946382, ( -1), 874514371, ( -1), 792158104, 30357196, 609342728, 342515666, ( -1), 514574697, 221085491, 699944967, ( -1), 100545673, 478644767, 211620523, ( -1), 453097546, 702031476, 969151514, 894116467, ( -1), ( -1), ( -1), ( -1), ( -1), 578769048, 637823365, 713559579, 311306790, 793769631, 82747902, 145465586, ( -1), 716203505, 818609192, 274621909, ( -1), 256512715, 662469608, 193698045, ( -1), 229484264, ( -1), ( -1), 582411921, 916043099, ( -1), 435848358, 140866464, 115714647, 553735684, 958118525, 638969844, ( -1), 153161683, 662989827, 374694501, ( -1), ( -1), 101074469, 178864533, 873917273, 167733979, ( -1), 67436414, 853945238, ( -1), 852612959, ( -1), ( -1), 844715974, 540924831, 625774421, ( -1), ( -1), 546766112, 753584194, 647290782, ( -1), ( -1), ( -1), ( -1), 45107781, 238270809, 985992539, 431685046, 132250473, 288552193, ( -1), 15492, ( -1), ( -1), 623108339, ( -1), 973867669, ( -1), ( -1), 796579211, 103556138, ( -1), 562731202, 161013802, 891091006, 206958955, ( -1), 11787885, 918428025, 730841238, ( -1), ( -1), 415747095, ( -1), ( -1), 427836073, 325682475, 357562339, 68846600, 853029493, ( -1), ( -1), 25171583, 651849744, ( -1), 654353014, 167463595, ( -1), 798826870, 713103150, 248800493, ( -1), 490931928, 775318177, 506827189, 566026222, 744155962, ( -1), 769533086, 233479338, 603749313, ( -1), 116038041, ( -1), 957285094, 804074272, ( -1), ( -1), 179150217, ( -1), 666812605, ( -1), 821276624, 155808672, ( -1), 379501584, 745675874, 656889962, 694306565, ( -1), ( -1), ( -1), 985855332, 243954768, ( -1), 633000448, 884385952, 506658835, 786376895, 17786177, ( -1), 392694744, ( -1), 437262893, ( -1), 94651004, 673194195, ( -1), ( -1), ( -1), ( -1), 513901770, 636759265, 368970486, 170847310, 480244653, ( -1), 711006163, 743582266, 53158613, ( -1), ( -1), 329310827, 827899690, ( -1), ( -1), 403100618, 187215269, 947655836, 347272255, 170334677, 935000008, 138446834, 280135455, 849060001, ( -1), 338598264, 121832676, ( -1), 456648509, 396342746, 3820541, ( -1), 657352160, 858301374, ( -1), 602229055, 332016473, 211857210, 633271417, ( -1), ( -1), ( -1), 829567318, ( -1), 303471740, 199796774, 346847825, ( -1), ( -1), 552227594, 654702845, ( -1), 451168790, 429501731, 197538760, 404108799, 837953362, 976074327, ( -1), 886668524, 472080598, 627794944, 489436062, 656966415, ( -1), 23903118, 540281413, 764267797, 38606641, 942177279, 72383441, 112678364, ( -1), 245042477, 285122548, 419047752, 805653718, 871147871, 129913772, 726345236, 480605894, 684563442, ( -1), 795710684, 218004419, 393281886, 162911929, ( -1), ( -1), 168548611, 48390255, 321582091, 737538053, 20882539, 766190171, 399046754, 222957198, 649702055, 135344177, ( -1), 4159348, 881014735, 74063202, 621518019, 608633554, 788470700, 395641568, ( -1), 850761745, 596041062, ( -1), ( -1), 939870700, 984243227, 546634837, ( -1), ( -1), ( -1), 820794486, 93179679, 905282640, 737116168, 70475374, 673782072, 581977451, 904838513, 592850373, 583977479, 894108586, ( -1), 186526976, ( -1), 49893474, 47888366, 361864881, 78642031, 792402822, ( -1), ( -1), ( -1), ( -1), 737140021, 841845249, 810861709, 734730817, ( -1), 686530766, 479186455, 783223970, 706533691, ( -1), 998632435, 127791497, 965676756, 300359237, ( -1), 210854666, 951385675, ( -1), 235370901, 886592881, ( -1), 244630027, ( -1), 678133327, 651457894, ( -1), 671882748, ( -1), ( -1), 241204840, 117825981, ( -1), ( -1), ( -1), 883364100, 762125423, ( -1), 60421091, 109260125, 208424647, 424649487, 863278582, 176566305, 529364060, 708640912, ( -1), ( -1), ( -1), ( -1), ( -1), 434195407, 832528275, ( -1), 839865304, 92797230, ( -1), 148300080, 277300978, 48679063, 807540620, ( -1), 109268080, ( -1), 593615948, ( -1), 218003968, 343604941, 338393515, 882665647, 792858887, 752830294, 722532678, 354228598, 404178862, 996681297, 969561642, 75640387, ( -1), ( -1), 513635244, 791378487, 623308384, ( -1), 541992193, 29729022, 984009395, 277543897, ( -1), 790219570, ( -1), 404990394, 61150138, ( -1), 573035338, 966722268, 587480784, 752657317, 573830114, 289494473, 810831793, ( -1), ( -1), 34901151, ( -1), 178206194, ( -1), 37803260, 419439760, 347487800, 186480026, 765844057, 389715313, ( -1), 741987853, 104639921, 977143366, 746719595, 482331710, ( -1), 686304397, 817934100, 67887465, 367495666, 614926167, 293272543, ( -1), ( -1), ( -1), 904271248, 486591660, 815282328, ( -1), ( -1), 336382013, ( -1), 904613708, 951751987, 698438111, 957250072, 605283387, 685505685, ( -1), ( -1), 960126422, ( -1), 303023092, 401212071, 393051313, 864071024, ( -1), 434408279, ( -1), 43053590, 218226476, ( -1), 879061131, ( -1), 894935046, 227799864, 676424545, 307311826, 665388096, ( -1), ( -1), 446172347, 633230754, 433256548, 205979511, 590518628, ( -1), 99281401, 717159646, 165748420, ( -1), ( -1), 39963713, 570573695, ( -1), 752124041, 809375944, 619519723, 978202430, 961727928, 657152955, 116925188, 997343317, 957638548, ( -1), 758764775, 533437240, ( -1), 733321828, ( -1), 86572910, 921774067, 626904972, ( -1), 67054267, 595578371, ( -1), 105729272, 410945576, 282239375, 744436088, 976856493, 197761056, 348018922, ( -1), 435880039, 612640650, 605322059, ( -1), 883162163, ( -1), 863475968, 548109436, 113309885, ( -1), ( -1), 667670299, 296328047, ( -1), 764876462, 718204340, 362519936, 454877935, 892864460, ( -1), 866850687, ( -1), ( -1), ( -1), 142274884, 309953853, ( -1), 947519160, 693846723, ( -1), 137398862, ( -1), 296934906, ( -1), 809185029, 514745234, ( -1), 735293325, ( -1), ( -1), 733126228, 887702067, 692186487, 770511488, 470913307, ( -1), 754507996, 919094988, 72929954, 159394441, 815900947, 551598065, 236366455, 126325504, 885932914, ( -1), 228728149, ( -1), ( -1), 846784325, 700057342, ( -1), 514541948, ( -1), ( -1), ( -1), ( -1), ( -1), 184728582, 180516012, 301879718, 623554533, 315747902, 444767174, 991611100, 356255930, 882539803, 289886317, ( -1), 252186963, 411877378, 745572601, ( -1), 961165111, 775899996, 525094101, 133757442, 865685546, 407657813, 493778099, 773486001, ( -1), 408227730, 212742971, 421420512, 926772384, ( -1), ( -1), 367062422, 778354028, 451221445, 609185817, ( -1), 491514991, ( -1), 588205044, ( -1), 932641511, 398768535, 468179875, ( -1), 56305315, 679231935, 851674676, ( -1), 919357765, ( -1), ( -1), ( -1), 746714398, 180522631, 437586174, 432547454, 425609406, 943256140, 619660912, 957495806, ( -1), ( -1), ( -1), 778803672, 639640666, 136990605, 85141328, 119762027, ( -1), 328796980, 240130497, 115936234, 148659372, ( -1), 174247179, 134234617, 155318791, 306267965, 175407510, 452867349, ( -1), 360793557, ( -1), 605141255, 278957408, ( -1), 434920791, 408746799, 772770903, ( -1), 420967077, ( -1), ( -1), 473269996, 705113248, 831759742, ( -1), 489416984, ( -1), 810617772, ( -1), 207799668, ( -1), 685121265, 82927047, 965313883, 861702073, 369010519, 856759821, ( -1), 886941984, 717964102, ( -1), 418313356, ( -1), ( -1), ( -1), 166751558, ( -1), 240751501, 818521988, ( -1), 962267438, 449704568, 477242962, 835602099, 992629887, ( -1), 367064071, ( -1), 873335370, 928209240, ( -1), ( -1), 321605495, ( -1), ( -1), 976902462, ( -1), ( -1), 322236629, ( -1), 554508738, 788887143, 688853273, 528228514, 42436143, 785133454, ( -1), ( -1), 865806425, 470423542, ( -1), 983581945, 212901528, 723854471, 901808563, 588691158, 229400091, 401716600, 761595066, 274647404, 87507117, 516358343, 337919097, 802089657, 342119946, 887657580, 597233474, 889782117, 33489928, 331089970, ( -1), 714434035, ( -1), 851800746, 87056576, 437300289, 313731084, 505397549, ( -1), 604644581, 505469088, ( -1), ( -1), 805030632, 903335393, ( -1), ( -1), 782296615, 893453158, ( -1), 651965977, ( -1), ( -1), ( -1), ( -1), 526743715, 88738567, ( -1), 269449761, ( -1), 977429687, 175343460, 787171381, 336751241, 225688418, 562237519, 179436279, 645168199, 301085117, 624503795, 557576729, 200478000, ( -1), ( -1), 866497571, 611706168, ( -1), 46175796, ( -1), ( -1), 123573362, 415977763, 139752127, 524245497, 789985983, ( -1), ( -1), ( -1), 917962562, 87343132, ( -1), 206246025, ( -1), 982333360, 442193729, 980690277, 976997775, 521352515, ( -1), ( -1), 271487004, 658026014, 218806524, 494926821, 48556830, 451908934, 321056247, 694178042, 482246793, 554808809, 495432878, 346255841, ( -1), ( -1), 227071436, ( -1), 796014611, 754407696, 139377562, 6285975, 991820966, 82661627, ( -1), 318513508, 315076422, ( -1), ( -1), ( -1), 981394661, 307122007, 715435907, ( -1), ( -1), ( -1), 836868947, 263021669, 443002040, 576938768, 949298527, 593921151, 456483816, 902625978, ( -1), 408367615, ( -1), 889884909, 996190283, ( -1), ( -1), 149247344, 243821228, 454510841, 708789396, 815163132, 846243086, ( -1), 222015715, 48706154, 804221220, 473520289, 525534292, 37377923, 474313499, 215939049, ( -1), ( -1), 157977532, 546476438, ( -1), 330936652, 356234054, 235305400, ( -1), 924589412, 769117496, 578915196, 862060644, 222711695, 110118341, 749772133, ( -1), 168195441, 15378578, ( -1), 616744386, 91825760, ( -1), ( -1), 413641032, 559452328, 976861738, 819044744, 809829110, 323744952, 690223544, ( -1), 869437760, ( -1), 396403041, ( -1), 901350815, ( -1), 599013881, ( -1), 247349228, ( -1), 86873232, ( -1), 369524542, 297594811, ( -1), ( -1), 559002999, 566491945, 106447665, 511995890, ( -1), 954840659, 510215924, 971278207, 286011537, 563713853, 227048491, ( -1), ( -1), ( -1), 153591853, ( -1), 415989632, 508665374, ( -1), 936535095, 485505672, 984447739, 928426372, 248320113, ( -1), ( -1), 127123066, ( -1), 666693108, ( -1), 605132983, ( -1), 399310770, 174598597, 200103056, 572072945, 203856781, 297648629, 597408716, 715347253, 665713330, 645674790, 473911517, 503519439, 87616069, ( -1), 192776633, ( -1), ( -1), 981106130, ( -1), ( -1), 791181880, ( -1), ( -1), 722946620, ( -1), ( -1), ( -1), ( -1), 144381529, ( -1), 606353037, 333969515, ( -1), 880392543, 416881353, 515581527, 158725092, 836720612, 214596989, 176277857, 707807316, 587421993, 707208441, 24728135, 976719384, ( -1), 522997305, 251926664, 770426746, 80999827, 703435083, 630245836, ( -1), ( -1), 129653997, 34917496, ( -1), ( -1), 934121513, 514312705, 734338680, 900915490, 73751095, 292260219, 794759726, 989898333, 165781210, ( -1), 245223353, ( -1), 491630035, ( -1), 979031415, ( -1), 972577067, ( -1), 759204717, 901283764, ( -1), 829653327, 751058313, 429075191, 143502719, 599627047, 566331236, ( -1), 613466375, 137423933, 369272134, 489334591, 607001181, 907092177, 71969364, 172543493, 42507931, 727222302, ( -1), 562620898, ( -1), 502165859, 657721976, ( -1), 91479481, 684025567, 610484132, ( -1), 59205310, 989160479, 469495347, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 801140634, 627930805, 649625066, 68244099, 980300927, ( -1), 3643213, 987781658, ( -1), 673663264, 180508619, 261251312, 42609522, ( -1), 725990008, 41246823, 225553776, 522161154, ( -1), 900820718, 239057995, 232619880, 713806718, 519918384, 152486138, ( -1), 882848216, 628483944, ( -1), 795209013, 390729574, 718895810, ( -1), 552258526, 23978791, 770578779, 603039327, 110333930, 173056729, 70721990, 521763455, 361657201, 858587003, 513161499, ( -1), 279826014, 19481713, 753304170, ( -1), 754561650, 145082087, 901840923, ( -1), 51378841, 340636101, ( -1), ( -1), ( -1), ( -1), 825872439, 720084344, ( -1), 455859087, 356902468, 442635299, 385359823, 486373521, 656511104, 449756517, 855103415, 749930943, 469864065, 981956859, 588645177, 928771750, ( -1), 762217478, 759463904, 367744378, 775138622, 763145512, 491462644, 775225780, 449100209, 31537218, 403816187, ( -1), 650107728, 870487060, 34661732, ( -1), 910858390, 879642021, 206695528, 989569272, ( -1), 28862063, ( -1), ( -1), 476958384, ( -1), ( -1), 494049326, 147293363, 148181955, 220930892, 793782260, 396616564, 465406675, 285651621, ( -1), 781422235, ( -1), 310801272, 736500385, 96406155, 708101547, 314909964, ( -1), 648538399, ( -1), ( -1), 790434502, 15914106, 209471121, 689107106, ( -1), 560155883, 428207750, 809332743, ( -1), ( -1), 915119383, 711843576, ( -1), 286301658, ( -1), 393003294, ( -1), 101287060, ( -1), 813276243, ( -1), ( -1), ( -1), ( -1), 725751530, 772546286, 193018570, ( -1), 792049834, 327570331, 835428986, 258458630, 666130561, 903125128, 353266099, 815818549, ( -1), 638969920, 199955324, 318898752, 381564175, 505814302, 735571065, ( -1), 859763156, ( -1), 54814748, ( -1), 781157430, ( -1), 730608763, 133174216, ( -1), 591087310, ( -1), ( -1), 588026405, ( -1), 27744836, 186434577, 480363724, 674981258, ( -1), 672028516, 519311358, 822521991, ( -1), ( -1), 750085314, 396058031, 495048341, ( -1), 533931428, 272266147, 308560461, 108300255, 74346621, 388937272, 548966217, ( -1), 57652188, 721385876, 145112808, 500018044, 26666044, 162341469, 745555176, ( -1), 682531792, 558217508, 361742165, 844133048, 377870345, 130742254, ( -1), 381218165, ( -1), 26502607, ( -1), ( -1), ( -1), 532782887, 753914122, ( -1), ( -1), 914711678, ( -1), 494463584, 216409873, 328633858, 131269315, 972577611, 94902972, ( -1), ( -1), 3501445, 53727643, 354436330, ( -1), 100221149, 319369129, 206298131, 773873544, 641540053, 800653875, 447825285, ( -1), 871438309, ( -1), 553966276, ( -1), 312315234, 691367298, 569695276, 691914001, ( -1), ( -1), 621246605, 523219607, 643043182, ( -1), 370524005, 141022090, 299684839, ( -1), 333758008, 138046913, 566685337, 316885671, ( -1), ( -1), ( -1), 636514501, 820636138, 404307493, ( -1), 847683407, 654954070, ( -1), 172462523, 822298948, 379268348, 138067057, 218799515, ( -1), 391044506, 801252061, 810044311, 271688174, ( -1), 142234863, ( -1), 532204358, 539189401, 63667097, 626453855, ( -1), 38176932, 359805898, 307377817, ( -1), 803466150, 549250540, ( -1), ( -1), ( -1), 342825727, ( -1), 105331097, 995392598, 59268145, 169242738, 741077066, 259762702, 179472822, 803983366, 318640893, 520331941, 379731402, 630948295, 214141218, 952908542, ( -1), 689647210, 319520556, 499290403, 883931051, ( -1), 772459353, ( -1), ( -1), 370224010, ( -1), 916057038, 817900808, 586054198, 20850526, ( -1), ( -1), ( -1), 583925895, ( -1), 10176830, 846549202, ( -1), 569951786, ( -1), 911694534, 182517724, ( -1), 587630948, ( -1), 999574034, 92723613, 796168945, 839612802, ( -1), 857206075, ( -1), 316561554, 711460728, ( -1), 47462102, ( -1), 886638677, 465599388, 519237298, ( -1), ( -1), 89331489, 74911478, ( -1), 892443516, 496867920, 109651052, 192666735, 206125284, ( -1), ( -1), ( -1), 434447857, 579513121, ( -1), 61585924, 338281094, ( -1), 383506828, 413456855, 903085219, 562948307, 591681364, 986043500, 591476097, 188005025, 20172196, 544191452, ( -1), 544583980, 490471124, 467450341, ( -1), 859594240, 344256105, ( -1), 625714430, 799254978, 206486893, 642132861, 854422440, ( -1), ( -1), 696807224, 149935384, 459508849, 117290825, 986063233, ( -1), ( -1), 98519028, 104793922, ( -1), ( -1), ( -1), 720000842, 41605708, ( -1), ( -1), 732573079, 485961064, 495414424, ( -1), 882663361, 371155615, ( -1), ( -1), 76191665, 235319209, ( -1), 312119513, 506322868, 952718096, 747067762, 201003698, 582831142, 100527394, 391131017, 854008886, 800077630, ( -1), 699054535, 425218721, 343740176, 817317032, 543502015, ( -1), ( -1), 747169742, 104327516, 521394255, 880714117, ( -1), 472974325, 450639054, 313080168, 965854390, ( -1), ( -1), 799990475, 578831245, 599759389, 569963296, 433194518, ( -1), 884226523, 359171266, 731125072, 158546039, 718853227, ( -1), 504330508, ( -1), 780967397, ( -1), ( -1), ( -1), ( -1), 560310487, 424156478, ( -1), 866778717, ( -1), 58375483, 238872712, 483382494, 729081890, ( -1), 387901356, 960587856, 449838660, 481182398, 145978289, 101837976, 760740515, 830400729, 653878546, 301602341, ( -1), ( -1), 23415668, 464888852, 791951309, 761772416, 274110937, 352124608, 414430652, 316986636, 218220132, 85669977, 966876894, 677334024, 168277271, 208785175, 440432600, 862823522, ( -1), 82407755, 573944498, ( -1), 289956473, 95507861, ( -1), 244120938, 966952585, ( -1), 139080542, 422622775, ( -1), 606616668, ( -1), 800988089, 890600096, 359864340, 822322957, ( -1), 409835533, ( -1), 211020712, 873123459, 78144281, 476033783, 840871391, 99884276, ( -1), 550740127, ( -1), 533787833, ( -1), 368894835, 342461998, 490714602, ( -1), 454519779, 752642497, 925809268, 775941920, ( -1), 479747277, ( -1), 940925293, 502612016, 85690246, 625914183, ( -1), 654796717, 236001958, 60853469, ( -1), ( -1), 839640262, 242674291, 383360866, ( -1), ( -1), 589789576, 40869868, 457695615, 459507341, 891794223, 523910750, ( -1), 447307089, 266415087, 638684684, 589302225, 696940088, 604718115, 670666978, 696389258, 944678833, 591939141, 738357663, 194098796, 223727264, 118169159, 837788472, ( -1), 522616973, ( -1), 961770442, ( -1), 946860408, ( -1), ( -1), ( -1), ( -1), 641972211, 681570541, 946138208, 120278107, ( -1), 878505679, ( -1), 115740873, 196354340, 540441244, ( -1), ( -1), 887275020, 212325178, 948820463, 178185216, ( -1), 786389907, 120666266, 807000952, ( -1), 956979505, 870504663, 62987452, 890342844, 271842796, 691318516, 23152416, ( -1), 984720199, 643378000, ( -1), 451958450, 115831767, ( -1), ( -1), ( -1), 409530138, 403345539, 443546967, 62290414, 659368713, 657493820, 441925056, 492882521, ( -1), 335147196, 267191444, ( -1), 164228040, ( -1), 15900138, 993842503, 989657758, 327012772, 827524426, 271347782, 501063024, 212272163, 934338887, 962184220, 302275481, 814208064, 976883740, ( -1), 66087880, 656230724, 232302422, 96421315, ( -1), 997131001, 407218284, 110796976, ( -1), 208953715, ( -1), 922171274, 942261865, ( -1), 252604013, 918385050, 811390208, ( -1), 834766009, 210002347, 700246234, 584989620, 693229814, ( -1), 515686337, 626813979, 412939999, ( -1), ( -1), ( -1), 849959620, 987423064, 21728763, 26125154, 876961042, 973742232, ( -1), 553736194, 909308501, 545284248, 855912368, 18214472, ( -1), ( -1), 940043302, ( -1), ( -1), ( -1), 367591006, 579902121, 455512353, ( -1), ( -1), 784911618, ( -1), 715126624, 19400937, 690486218, 442988032, 418760236, 495300853, ( -1), 233771691, ( -1), ( -1), 423221676, 256731323, 219074464, 671527196, 749399508, 738754642, 324159903, 767347550, 203290397, 996807143, 886683101, 206157876, 610132108, 317561529, ( -1), ( -1), 568489030, 332870714, ( -1), ( -1), ( -1), 138708122, 779871795, ( -1), 566683594, 222578646, ( -1), ( -1), 228828941, ( -1), 833304503, 412086762, ( -1), 464879265, 895401016, 993197234, ( -1), 987375641, 937908008, 402163227, 911024322, ( -1), 395260630, ( -1), 649958778, 539042135, 589979453, ( -1), 189865511, 350281509, 319051320, 11508461, 912444589, 727244852, ( -1), 412776688, ( -1), 766224022, ( -1), 852370279, 75793852, 422308927, 273421073, 648432832, ( -1), 308281113, 999281181, 197939351, 53240059, 716949855, 394128916, ( -1), 136697805, ( -1), 621012454, ( -1), 278777477, 557861080, 802763734, 855586043, 412914721, 947374930, ( -1), 733804317, 114651705, 57936559, 60684317, 19671699, 179444953, 147711495, ( -1), 910793883, 686939527, 727157373, ( -1), 433294599, 425098868, 829851042, ( -1), 48641381, ( -1), 947716656, ( -1), ( -1), 967016708, ( -1), 935918819, ( -1), 84206157, ( -1), 42378715, 953359404, ( -1), ( -1), ( -1), 930411216, 24730348, 363454375, 860717422, 88594312, 204707944, 704855017, ( -1), 41935641, 657639064, ( -1), ( -1), 312398395, 559007492, 68961705, 19169283, 13312572, 796587635, ( -1), 257102852, 869799928, ( -1), 788304852, ( -1), 90152276, 639739825, ( -1), 326369917, 850565778, ( -1), ( -1), ( -1), 187519066, 224274859, ( -1), ( -1), 974287577, ( -1), 987246166, 870622134, 609739023, ( -1), ( -1), 663538647, 220085115, 675393210, ( -1), 812668850, 817781628, ( -1), 708172763, 717014792, ( -1), 16989171, 663827285, ( -1), ( -1), 629828067, ( -1), 886836074, 357754883, 646656923, 738728299, ( -1), ( -1), 337915060, 376545247, ( -1), 726937348, 307757182, 803727617, 53325162, 685744416, 355563624, 354693511, 813558597, 737434489, 714233531, 437674793, 427323637, 151580944, 519152669, 734838339, ( -1), ( -1), ( -1), 732772155, 419050186, 680037958, 934518151, 99801493, 695113299, 300641674, 552308795, ( -1), 937690457, 918748499, 814650278, 673872508, ( -1), 799674779, ( -1), 463516188, 588259401, 957913457, ( -1), ( -1), 826754513, ( -1), 40909531, ( -1), ( -1), ( -1), 282731509, 44983730, 153970797, 874954722, 444853704, 732746348, ( -1), 176421115, ( -1), 539981874, 455934030, 335390425, 185963179, 203685217, 441325088, 28666359, 608771556, 17843804, 751063155, ( -1), 513320511, ( -1), 792588284, 860875065, ( -1), ( -1), ( -1), ( -1), 949332107, ( -1), ( -1), ( -1), 399794165, ( -1), 674877850, ( -1), 191938461, 98091389, ( -1), ( -1), ( -1), 860796078, 364494271, 553259721, 410280650, 301654817, 547581495, 257296020, 495977823, 759302091, ( -1), ( -1), ( -1), 593748099, 365864162, 289625392, 605127757, 737418232, 539960693, ( -1), ( -1), 66920681, 837047917, 392157480, 464272364, 423794331, ( -1), ( -1), ( -1), 187190456, ( -1), 424195390, 874111185, 676194691, 344500724, 922480712, 965523652, 424810353, ( -1), ( -1), ( -1), ( -1), 67239649, 543688304, ( -1), 513350034, 816305813, 636381437, ( -1), 6166404, ( -1), 816994972, 465457138, ( -1), ( -1), 83667622, 425527452, 527184892, 779840781, ( -1), ( -1), 352016952, 140395949, 549548213, 884656338, 422750647, ( -1), 760758096, 266168345, 487839102, ( -1), ( -1), 716874743, 257558563, 63948036, 475449469, ( -1), 473409236, ( -1), ( -1), ( -1), ( -1), 210201716, ( -1), ( -1), 870411097, ( -1), 610278908, ( -1), 665377116, 841528749, 99990235, 244684163, 553965727, 392299124, 586461507, 298876915, 363008379, 975192140, 873334251, 393237374, ( -1), ( -1), 311955088, ( -1), ( -1), 588509832, ( -1), 833014287, 679291436, 851822982, 26774997, ( -1), 745801588, 987129903, ( -1), 297401784, ( -1), ( -1), ( -1), 771349537, ( -1), 757407269, 662086552, 897633575, ( -1), ( -1), 482132015, 926320856, 641782464, ( -1), 228474897, ( -1), ( -1), ( -1), 541913377, 882893513, 421929750, 931609040, 707703773, 940793290, 167561935, 996640485, 121412484, 40705517, ( -1), 557527794, ( -1), 968629866, 557471295, 759148780, 267281390, 583610012, 440413566, 201395741, 85610441, 653472035, 33861051, 995045490, ( -1), 624910874, 172146951, 892483423, ( -1), 801764488, ( -1), 844821810, 89979156, 602001468, ( -1), 393122025, 990506588, ( -1), ( -1), 749583683, 310208313, ( -1), 74786559, 485906191, 78044998, 630927028, ( -1), 835115747, 270004604, 91609012, 741268892, 203324569, 662073472, ( -1), 915542725, ( -1), 961585803, 538953983, ( -1), ( -1), 498364786, 502712024, 44713855, 230017505, ( -1), 391221662, 293194734, 69207400, 632540798, 996653452, 24986592, ( -1), ( -1), 871463061, ( -1), 700764929, 7997422, 739629526, ( -1), ( -1), ( -1), ( -1), 650746317, 294594932, ( -1), ( -1), 213116621, 793957902, 171146833, 165606047, ( -1), 443727133, 780567776, 293303759, 135749881, 798433111, 52903648, 859905486, 339284217, ( -1), ( -1), ( -1), 701967906, ( -1), 230493648, 460070238, 278141414, ( -1), ( -1), 767130252, ( -1), 418410391, 398884723, 526215276, ( -1), ( -1), ( -1), ( -1), 253975481, 420099159, 164842665, ( -1), ( -1), 275268672, 814048664, 630692871, 526937073, 414055482, 167062810, 440797639, ( -1), ( -1), ( -1), 555172709, 666808022, 455953130, 811969021, 922977323, 189942012, ( -1), 379211455, 280157941, 721594071, 641527424, ( -1), ( -1), 444102188, ( -1), ( -1), 792903025, ( -1), 278896212, 600973794, 883148067, ( -1), ( -1), 800693109, 979426935, 390929315, 99457588, 336211530, 460171287, 279490686, ( -1), 503446164, ( -1), 697231410, ( -1), 166468899, 538632898, 101841049, 5762898, ( -1), ( -1), 669596783, 730729350, 372785083, 454484442, 570869150, 531655206, 569636474, ( -1), ( -1), 659204220, ( -1), 441803711, 804100328, 943294491, 653946834, 968029772, 45143895, ( -1), 911629038, 787378622, 428254538, 965938096, ( -1), 938970468, ( -1), 323444425, 426390703, 932382852, 205238275, 282468499, 758901305, 210722322, ( -1), 920424325, ( -1), ( -1), 315584611, 389767208, 155739096, ( -1), 365119, 556287072, ( -1), ( -1), 890101938, ( -1), 179032549, 697199331, ( -1), 391543014, 841533276, 945359008, 88578486, 461312051, ( -1), 323062922, 966068279, 51974254, 140634849, ( -1), 826579552, 217284761, ( -1), 557116500, ( -1), 514109632, 173337968, 932542590, ( -1), 447857656, 62537128, 3138979, 784284295, 694552258, 865334877, 328341018, ( -1), 645934116, ( -1), 19018470, 383214023, ( -1), 687434665, 114850014, 422755564, 939924930, 227002444, ( -1), 296428423, 743533410, ( -1), 207743358, 990477631, 488106666, ( -1), ( -1), 777074106, 83365230, ( -1), ( -1), 31443927, ( -1), ( -1), ( -1), ( -1), 436334156, 733890380, 792079691, ( -1), 431374525, ( -1), 271729512, ( -1), 32358220, 995262145, 753725951, ( -1), 175108931, 866489676, 3677551, 882310182, 745010756, 680770265, 539502727, 675601022, ( -1), 42389089, 776663980, 155483529, 594348442, 670791095, ( -1), 656047837, 302804700, 93324102, ( -1), 414406521, ( -1), 453710272, 344422167, 499245618, 4118405, 813339185, 340887165, 813007893, 486484589, 51679463, ( -1), 620206742, 625755411, 142240947, 356913125, 935307134, 951407775, ( -1), ( -1), 318051972, ( -1), 929457321, ( -1), 452708528, 224021237, ( -1), ( -1), 229733804, 911561463, ( -1), ( -1), ( -1), 92737112, 589792856, ( -1), 809987768, 423366499, 378546554, ( -1), 876619608, ( -1), 735140001, ( -1), 990097349, ( -1), 688109241, 349511251, ( -1), 641344926, 238268378, ( -1), ( -1), 523125639, 941052707, 725971469, ( -1), 18788517, 986802351, 901367492, ( -1), 66595464, ( -1), ( -1), 509927789, 142621715, 400980388, ( -1), ( -1), 903008759, 953026222, ( -1), 411660508, 988357899, 372317134, 77548863, 192085804, ( -1), 135319035, 895412555, 27028072, 258598757, 878483506, 939012510, 837529471, 239270467, 757770791, 444233335, 428927619, 110416289, 553017895, ( -1), 984754683, 860193527, ( -1), 168133631, 844265549, 487254725, ( -1), 433860613, 157301569, ( -1), 482631519, ( -1), 856236495, ( -1), 777972132, ( -1), 843358087, 913238572, 543853293, 239377648, ( -1), 979169387, ( -1), ( -1), 261549576, 26815461, 279881540, 718520664, 474609899, 40532889, 243680789, 15892701, 389155341, ( -1), 705416234, 363616631, 6664309, ( -1), 349704775, 996798578, 363362237, 492228353, 514145532, ( -1), 500833766, ( -1), 802373281, 748623089, ( -1), 888556719, ( -1), ( -1), ( -1), 533983445, 635467549, 355485884, 470972267, 272251495, ( -1), 274062437, 117897763, 674350527, 612347845, 236366711, 170284128, 899744240, 313874145, 859667488, 651552392, 155016826, 597580497, 563512373, 951803486, 513995846, 799642158, 837313773, 567046536, 100229529, 996264473, 653098713, 783243589, 494218099, 399939608, 897345434, ( -1), ( -1), 642663256, 423580359, 177686743, 320414454, 596187618, 708522513, 750500953, 530795441, 146534683, ( -1), 698747402, 852907677, ( -1), ( -1), 604432881, 495068184, 598667108, ( -1), 414086847, 795672283, 49007193, 736482794, 666514364, 871073880, 912203256, ( -1), 289373261, 239067404, ( -1), 767334772, ( -1), ( -1), 587489596, ( -1), 660579840, 892274040, 239849895, 845975104, 338514247, 133233927, 825656877, 411222842, ( -1), ( -1), ( -1), 892055484, 220208174, 984700520, 307478925, 914316280, ( -1), 482109450, ( -1), 890126416, 98605596, 878199790, ( -1), 310023570, 922461728, 872268063, 411953421, 651037935, ( -1), ( -1), ( -1), 662298572, ( -1), 462889259, 84987346, ( -1), 534997678, 811035664, ( -1), 750027869, ( -1), 6689888, 267691842, 688543992, 234438468, ( -1), 790479637, 980260459, 910855437, 29038569, ( -1), 291014475, 692612793, 446206578, 283676467, ( -1), 444628140, 544931163, 302220968, ( -1), ( -1), ( -1), 738748830, ( -1), ( -1), ( -1), 739527642, 917909729, 713226285, 252213126, 144900788, 995769714, 152494194, ( -1), ( -1), ( -1), 540204355, 253543796, 853973636, 377480923, 277267323, ( -1), ( -1), 251897362, ( -1), ( -1), ( -1), 481846215, ( -1), 696959609, 693332597, ( -1), 560539330, ( -1), 270604654, ( -1), 307471877, ( -1), ( -1), 6115823, ( -1), 399942059, 106346296, ( -1), 942455039, 203789846, 540379240, ( -1), 70818048, 327168296, 989024398, 687257373, 904327430, 450573755, 895746535, 504301881, 34690372, 32632247, ( -1), 167493439, ( -1), 41304404, 149525993, 134263603, 136903365, 31811083, 105403149, ( -1), 680569359, 21618506, ( -1), 504755821, 29781042, ( -1), 983030955, 391129806, 689608469, ( -1), 907853797, 340164375, 944295805, 490979455, 689726398, 528888526, 943683137, ( -1), ( -1), ( -1), 31138938, ( -1), 309381513, 697772326, 887272605, 893690286, 633731223, 583766311, 147512770, 476841009, 603651720, 147278242, 47516815, 279895364, ( -1), ( -1), ( -1), ( -1), 967563443, 254081707, 367616939, 192758181, 519709663, 807107165, 493976847, 983747294, 26353926, 399838190, 171434870, ( -1), ( -1), 848450718, 461965208, 349943345, ( -1), ( -1), 473119091, ( -1), ( -1), 111280162, 318661369, 453166189, ( -1), 259974553, 102403382, 865083573, 545896486, 680538868, 200098526, ( -1), 547687990, 485252675, 491732094, 600696076, 214677231, ( -1), 553250438, 28646276, ( -1), 704516459, 529957801, 15181149, 272027889, 692908942, ( -1), 412808650, 298906980, ( -1), 684294561, 15822995, 424954953, 466277865, 544027691, 683641897, 88885861, ( -1), 897974223, 737979733, ( -1), 130344929, 36859053, 471536840, ( -1), ( -1), 194934917, 999527701, 319532796, 208049059, 797112852, 498392292, 961633246, ( -1), 729575513, 680650577, 666630000, 341837936, 298660464, 918153, 943801107, ( -1), ( -1), 484643359, 684775163, 114324794, ( -1), 105138440, 577316744, ( -1), 129208777, 715500503, 939863344, ( -1), 506693342, ( -1), 216133898, 855592716, 817525634, 653230058, 368762877, 304623252, 607292242, 154079642, 550640921, ( -1), ( -1), 668364258, 612234897, ( -1), ( -1), 671021587, ( -1), 436754763, 243267615, 765189770, 773935386, ( -1), ( -1), 878488686, ( -1), 991977120, 677483633, 47136662, 957347760, 812237155, 334263182, 102334332, 566514218, 255974666, 425666000, 51630270, ( -1), 656996401, ( -1), 791625372, 641928044, ( -1), 414218718, ( -1), 621577336, ( -1), 83295451, 758353033, ( -1), 309604725, 212001610, 405778860, 289071577, 477328736, ( -1), ( -1), 357474036, ( -1), 925086553, ( -1), 171281647, ( -1), 761965585, ( -1), 201114747, ( -1), 957956899, 776485366, 554965165, 286104274, 679236795, ( -1), 708341596, 646716961, 604899083, 886708115, ( -1), 114264423, 612274403, 182442429, 351988871, 414558844, 17003154, 50078484, 210405463, 804454110, 805546407, 694750641, ( -1), ( -1), 502985839, 597351170, ( -1), ( -1), 343001939, ( -1), ( -1), ( -1), 504064576, 434728818, 520461644, 37935933, 282425682, 958239249, 978379566, 43810883, 561227256, ( -1), 343629164, ( -1), ( -1), ( -1), 332750678, 447574142, 907066209, 195574296, ( -1), ( -1), ( -1), ( -1), 294450355, 699071670, 194185216, 641188620, 631797773, 277685503, ( -1), 403507689, 986818474, 69747889, 473473526, 470959393, 360190542, 451714103, ( -1), ( -1), ( -1), 543961220, 755163997, ( -1), 493609659, 141689202, 108457379, 699406512, ( -1), 211354816, 615774753, 568863917, 295612894, ( -1), ( -1), ( -1), 715206818, 357285672, ( -1), 154529566, 927555185, 547316708, 551677307, ( -1), 174480675, ( -1), 818677528, 41751920, 6000014, ( -1), ( -1), ( -1), 405347993, 842738732, 500287573, 179351751, 607704583, ( -1), 956373625, 642583470, 353430438, 162155692, 526029182, 316863032, ( -1), 467470833, 946915411, 610744840, 774780479, 977608087, 156155196, 650488880, ( -1), 164189631, 217854691, ( -1), 997320690, 614574895, 254780974, ( -1), 309227579, 639230895, 199213217, ( -1), ( -1), ( -1), ( -1), 697831934, 860492092, 453650399, 358173489, 133460684, ( -1), ( -1), ( -1), ( -1), 881826959, ( -1), 820671558, 586472387, 727531635, 194161283, ( -1), 529575910, 176642413, 312844918, ( -1), 589241921, 631983132, 463416151, 437429546, ( -1), ( -1), 866125496, 681144595, 778191354, ( -1), 601492280, 93717950, 482847868, 463519539, 318137151, 430207842, 281246904, ( -1), 478276265, ( -1), 711146004, 921844048, 349827401, 116190909, ( -1), ( -1), ( -1), ( -1), 842629411, 549908284, 451758675, 877826275, 570437323, 860796807, ( -1), ( -1), ( -1), 302470385, ( -1), ( -1), 887983229, 598914430, 719792351, 660886496, 33948385, ( -1), ( -1), 427524244, 45102084, ( -1), 455426211, 421114150, ( -1), ( -1), 443383418, 378770385, ( -1), 135978416, 245748326, 187359849, ( -1), 486022692, 318289534, 125390809, 69857203, 25058362, ( -1), 766461906, ( -1), 976223138, 4684459, 453627255, 872071869, 126216716, 364141080, ( -1), 992037147, 141826191, ( -1), 316071733, 179847009, 810475857, ( -1), 273039111, 308910572, 231642104, 337517041, ( -1), 155125049, ( -1), 600525673, 758976691, ( -1), 49782056, 590409846, ( -1), 354472458, ( -1), 875366913, 64945307, 978536178, 697655617, 120203030, ( -1), 609193867, 708853977, ( -1), 303784422, ( -1), ( -1), 830251448, 568811911, ( -1), 284713824, 272651706, ( -1), ( -1), 658253863, ( -1), 927622249, ( -1), 968324186, 1403201, ( -1), 362456803, 319826904, ( -1), 211352864, 559531723, ( -1), 11370018, ( -1), 789316897, ( -1), 668790604, ( -1), 864583689, 603421127, ( -1), 145672631, ( -1), 460975976, 409330636, 805711855, 490720300, 464206263, ( -1), 466205338, 585804494, ( -1), 619429202, 592475152, 327582975, 551196640, ( -1), 243584821, 978446527, 247516231, 393088502, 621593460, 173447224, 43638152, 641673381, 980425680, ( -1), ( -1), 673607077, 975948261, ( -1), ( -1), ( -1), 473805632, 116349237, 484434771, ( -1), 329765985, 88784307, 431980626, 216043449, 739480300, ( -1), 922348909, 746206387, 587703436, ( -1), 939441231, 782790775, ( -1), 686588892, ( -1), ( -1), 207688476, 59169114, 134608190, 48221131, 607429524, ( -1), ( -1), 278917537, 898330940, 993446820, 315577225, 402280734, ( -1), ( -1), ( -1), 684285932, 478187749, 235945150, 783340909, 826573186, 408894692, ( -1), ( -1), ( -1), 807161471, ( -1), 42032270, 870045110, ( -1), 489048837, ( -1), 970093037, 81241536, ( -1), ( -1), 831574887, 332343973, ( -1), 503084744, 206572946, 186377366, 796083674, ( -1), 448923558, 520366970, 461582949, ( -1), 653899827, 19726262, 579930304, 686055013, 37767214, 153806321, 931041384, 15595130, 3889706, ( -1), 365061222, 897524109, ( -1), ( -1), 391007194, 897825390, 535363840, ( -1), 95115988, ( -1), 93831408, ( -1), 616531622, 463670345, ( -1), 331166092, ( -1), 246923370, ( -1), 398232455, 22482337, 316921160, 671332159, 71125217, 816337387, 457542486, ( -1), 495886697, 177620880, ( -1), ( -1), 806462891, ( -1), ( -1), 887562964, 332137979, 78935512, ( -1), 930995464, 539514724, 369643239, 188770044, 256303329, ( -1), ( -1), 791720240, 453392123, 375000015, 173078021, 888020680, 863478930, 788051406, 52001919, 413365678, 361889051, ( -1), 496816243, ( -1), 327720017, 877696620, 536704318, 555016787, 571560647, 353102921, 667582956, 428897556, 901899031, 53159027, ( -1), ( -1), ( -1), 735912378, 729845629, 408145771, 801031894, ( -1), ( -1), 728859162, 954197013, 246693192, 379790584, 980162698, 879761112, 777311278, 959433115, ( -1), ( -1), ( -1), 963638459, 353363621, 739793628, 585013791, 561525907, ( -1), 845872229, ( -1), 354627321, 401858592, 874558214, 455954397, ( -1), 506973269, ( -1), 881093219, 57747246, 709545335, 850373284, 759935972, 200555901, 181186290, ( -1), 278448190, ( -1), 392752910, ( -1), 27128147, 730423526, ( -1), ( -1), 721130136, 166526198, 309237882, ( -1), 921651476, 576443859, ( -1), ( -1), 509887142, 18453346, 533924202, 98464334, 880537317, 963920087, 937396264, 997242462, ( -1), 657092967, ( -1), ( -1), ( -1), 837831240, 119774584, 895924112, 640408725, 503285923, 457274293, 747360084, 882391682, ( -1), ( -1), 7618878, ( -1), 987627845, 593989626, 172641370, 626822934, 968264978, 823797533, 988863123, 388768786, 678933827, 165069258, ( -1), ( -1), 919774451, 811176763, ( -1), ( -1), 330000358, 502201335, 194552024, ( -1), 85629327, 828502525, 99294293, 332764433, ( -1), ( -1), 149892973, 528043549, 162790537, ( -1), 775664816, 763470579, 503857253, 893675678, ( -1), 148612297, ( -1), 257041729, ( -1), ( -1), 381395939, 864888864, 491875039, ( -1), 537280033, 426798964, ( -1), 449953228, 769093000, ( -1), 674943196, ( -1), 559081162, 695867843, 212669599, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 734218728, 724519544, ( -1), ( -1), 175349730, 21731392, ( -1), 863197797, 325944825, 608564296, 36480139, 146614935, 400949691, 57023610, ( -1), ( -1), 83868090, 293964108, ( -1), ( -1), 762764984, 690522920, 385140912, 874989640, ( -1), ( -1), ( -1), 991301661, ( -1), 502238895, 629645706, 155216874, 55521714, 872724958, 930201153, ( -1), 422995424, 862405929, ( -1), 439940306, ( -1), 977928331, 565115368, 557563692, 860059892, 994847905, ( -1), ( -1), 361970584, 203117573, ( -1), 782619324, ( -1), 60701327, 199229772, 476307152, 284033864, 509176290, ( -1), ( -1), ( -1), 475090244, 780558135, 393007617, 696716379, ( -1), ( -1), 543584819, 542514013, 171746353, ( -1), 262559307, 26234127, 542861314, 743935740, 390817425, 702034109, 175842565, ( -1), 943018639, ( -1), 390352991, ( -1), ( -1), 399511011, 120878007, 807859626, 190399848, 545820105, ( -1), 854664302, 621328743, ( -1), ( -1), 55296706, ( -1), 693057531, 506453122, 224515409, 603016188, 711004952, 673628402, ( -1), ( -1), 841062269, 589286485, ( -1), 610146296, ( -1), ( -1), 536391312, ( -1), 490967935, 709320640, 954527802, ( -1), 671070019, 736444090, ( -1), 414136235, ( -1), 283233371, 924166548, 677947984, ( -1), ( -1), ( -1), 378979444, 770951009, 292274323, 50456827, 935864905, 356105628, 1773339, ( -1), ( -1), ( -1), 243178765, 522297606, 678553657, ( -1), 708545631, ( -1), 403346788, 321473672, 875638021, ( -1), 913875004, ( -1), 489882795, 453253374, 692522242, 360220014, 829230471, 809093883, 929975790, 291070927, 903404424, 988346785, ( -1), ( -1), 210035113, 472117521, 223272404, ( -1), 858270291, 731950486, ( -1), 631880571, ( -1), 92851925, 613379760, 931671364, 570760713, 451182856, 257824645, 920202134, ( -1), 440392088, 495982572, 643431524, 888149369, 11093686, 597521692, ( -1), 199359914, 499981867, 959533568, 208342379, 279521219, 642466725, ( -1), ( -1), ( -1), 478878692, 684583095, ( -1), 19353139, ( -1), 417925419, 981868231, ( -1), 811367801, 444406137, 475051598, 489274749, 203089676, 567522132, ( -1), 94187804, ( -1), 736211649, 736369568, 702429328, 324063852, 877256751, ( -1), ( -1), ( -1), 171644621, 995198672, 950682784, ( -1), 795175754, 4102139, ( -1), 667064561, 774555512, 905495816, 542140970, 640341230, 386019959, 161453409, 483836109, ( -1), 671716308, ( -1), 277915169, 48997209, 484267821, 259866140, 430600886, 280476650, ( -1), 759038491, 387951539, 933604289, ( -1), 73238826, 319756986, ( -1), ( -1), 648095691, 930296537, ( -1), 170417353, 555239235, 243103345, 892256288, 363836312, ( -1), 227798552, ( -1), 547515465, ( -1), 176407877, ( -1), ( -1), 556483253, 959708793, 857963051, 770868185, ( -1), 493301830, ( -1), ( -1), 383306470, ( -1), ( -1), ( -1), ( -1), 81317926, ( -1), 651209990, 975170149, ( -1), 215041335, ( -1), ( -1), 17400268, 351722758, 939673647, ( -1), 476801074, 897977153, 669644855, 937700692, 551726340, 164948096, 431620005, ( -1), ( -1), 175277605, ( -1), 987006667, 141401623, 466260517, 859809015, 506139031, 825777739, 1557956, 48642975, 779708123, 18561202, 159067071, 779464859, 927203156, ( -1), 375047440, ( -1), 761428328, 657307022, 758595164, ( -1), ( -1), 342825867, ( -1), ( -1), 669498482, 490914928, 259588320, ( -1), 889853740, ( -1), 739824640, 323096568, 654824644, 83259751, 624375899, 574830580, 230636412, 551885875, 487662382, 808987716, 196856448, 892754072, 811367706, 834892432, 751563246, ( -1), 301530656, ( -1), ( -1), ( -1), 214996794, ( -1), 958948936, 276448608, ( -1), 868664077, 406276064, 665250512, 723118821, 674064604, 82517973, 313373011, ( -1), 613641382, ( -1), 628124677, 697078643, ( -1), 847100218, 397343506, 544572631, 600157718, 791947071, ( -1), 878644303, 103054713, 980971590, 886525263, 170860462, ( -1), 970987528, 603287577, ( -1), 462740449, 787413752, 782481083, 260991414, 19768323, ( -1), 250278626, ( -1), 469764251, ( -1), ( -1), 197409310, ( -1), 389618352, 745010699, 518304111, ( -1), 197928470, 410467311, 598027419, ( -1), ( -1), 443895492, 201491612, 347417694, ( -1), 618439889, ( -1), 411056292, ( -1), ( -1), 683492900, 647558220, ( -1), ( -1), 174362489, 622880855, ( -1), 223712852, 896489111, ( -1), 712920340, ( -1), 449176248, 184030350, ( -1), 91200513, 375725077, 879189086, 248249122, 438048027, ( -1), 222507711, 198298770, ( -1), ( -1), ( -1), 287096014, ( -1), 551345341, 792936184, ( -1), ( -1), ( -1), 10780684, ( -1), 111868866, 475854193, 166861540, ( -1), ( -1), 465764348, ( -1), 935842463, 45117769, ( -1), 829738585, 8547485, 616439015, 360373830, 492270205, ( -1), 417080176, 397729237, ( -1), 27283611, ( -1), 696078462, ( -1), ( -1), 909114078, 235274061, ( -1), 596465442, 302434444, 67738706, 48069042, ( -1), ( -1), ( -1), ( -1), 745925657, 68607840, 19603192, 899255914, ( -1), 977365743, 568528315, ( -1), 544414439, 886596797, ( -1), 868459881, 376147602, 900804330, ( -1), ( -1), 445658793, 17945382, 955529302, 999994137, 767970808, 357750595, 500089086, ( -1), 423123038, 90194620, ( -1), 158686015, 821131462, 686675580, 196464596, ( -1), ( -1), ( -1), 25599617, 940387115, 576924436, ( -1), 393928169, 698716378, 41364384, 1631373, 268375815, 915863216, ( -1), ( -1), ( -1), ( -1), ( -1), 386039364, 966109269, 620106430, 617261883, 88165514, 845477642, ( -1), 545919065, 583617409, 405831783, 567407160, 610061002, 774837600, 700522057, 944237732, 811294982, 372757663, 975725434, 861964339, 429745433, 500809547, 946452003, 75871636, ( -1), 632328592, ( -1), 387464518, 52417232, 648153242, ( -1), 73647172, 681175760, 417577290, 650312456, 62597800, 351884271, 705396085, ( -1), ( -1), 555416541, ( -1), 232905285, 615751600, 881570832, 14849566, 37634835, 860819683, 615856879, 27527201, 2846626, 201036160, 502115235, 770702476, 498964314, 629531985, 297802193, 200961330, 733562266, 911154145, 491085589, 726818964, 280195491, 185902019, ( -1), 74293367, 230691431, 730793859, 16145406, 105128991, 329982570, 632949465, 108485006, 738634166, 637986566, 314052822, 373857721, 397686850, 309979642, 200834663, ( -1), 70002299, 102091087, 4888821, 955593295, ( -1), 122879980, ( -1), 693644846, ( -1), 250569416, 489726802, 144347174, 157443567, 299405214, 577173110, 418749031, 187478198, 566055983, 413712586, ( -1), ( -1), ( -1), ( -1), 956563514, 359063165, 997948692, 119999426, 527463590, 205850667, ( -1), ( -1), ( -1), ( -1), ( -1), 979924315, 633732784, 181408013, 281768709, 135442050, 193292668, 311428740, 357298700, ( -1), 4311243, 505922531, ( -1), ( -1), 13772446, 732773693, 997599973, ( -1), 663483247, 186384554, 319965606, ( -1), 291179313, 949098404, 523438940, 40178022, 328544580, 731971439, 440264586, 164340196, 133907493, ( -1), 352064785, 25751627, ( -1), 372410489, ( -1), 190235752, 758024790, ( -1), ( -1), 830774850, 577264565, 564138880, 435407228, 835088695, 632932337, 870639277, 217833879, ( -1), 831157048, 606342747, 752731677, 141135957, 201051023, ( -1), ( -1), ( -1), 310186234, 849166524, 809546384, ( -1), ( -1), 615903124, 210276540, ( -1), 144996575, ( -1), ( -1), 479882883, 468592758, 59830571, 150626749, 306865801, 6887572, 937668408, 142496019, 53445605, 874446544, 288143362, 453223321, ( -1), 880741979, ( -1), ( -1), 706758266, 475485253, 997268727, 416676760, 227180488, 567951232, 24259569, 171814071, 839633192, 258303658, ( -1), 477813673, 736343780, 204010958, 22434473, 771020754, 582689666, ( -1), 136687693, ( -1), 787619526, 455336167, 15169840, 429403837, ( -1), 819625992, ( -1), ( -1), 988459791, ( -1), 952934443, ( -1), 13657111, 106508748, ( -1), 899250483, 407750571, 509199175, 536302454, 76924833, 165003408, ( -1), 724922664, ( -1), 766955732, 27983649, ( -1), 942911331, 973056755, 337222717, ( -1), 696596085, 496996634, 954401014, 932284182, 394120349, 397290557, 288751861, 220755739, 300488739, 538403107, 282474698, 714768662, 721721326, ( -1), ( -1), 196198224, 978887012, 806793566, 788380614, 508583504, ( -1), ( -1), 742465470, ( -1), ( -1), ( -1), 582490990, 415471238, 171572251, 404411385, ( -1), ( -1), 489103492, ( -1), ( -1), 159793761, 979975819, ( -1), 352511411, ( -1), 546081915, 541617805, 918012858, ( -1), 310715904, 691879140, 614468591, ( -1), 771403333, 669254181, ( -1), 683269650, 218824368, 959072184, ( -1), ( -1), ( -1), 312315207, ( -1), ( -1), 164840507, 997465725, 531476119, 481773795, 520782351, 495292227, ( -1), 22253240, 470698231, ( -1), 806345429, 204110092, ( -1), 616726554, 558191747, 977225784, 522264139, ( -1), 750382318, 637371054, 713590265, 36230300, ( -1), 501448427, 364690718, ( -1), 135411548, 546098206, 214124925, ( -1), 118008759, 74047000, ( -1), ( -1), 372165305, ( -1), 821625105, 953239302, 851971547, 366515667, 327568212, 655966121, ( -1), ( -1), 128116148, ( -1), ( -1), 371922869, 594219276, 298054592, 692970053, ( -1), 275501755, 776197674, 460793803, ( -1), 224191108, ( -1), ( -1), 288967731, ( -1), 568668919, 744939044, 698338179, 604216559, 855152253, ( -1), ( -1), ( -1), 547475708, ( -1), 752439065, 420468204, 331929630, 708713627, 40941894, 895579815, 49977022, 991016534, ( -1), 202840711, ( -1), ( -1), 276283322, 756649281, 463283493, 698907062, ( -1), 736899593, 837973165, ( -1), ( -1), 467560493, 606842960, 565884910, ( -1), 293774405, 503792500, 816023708, 589879586, 615147633, 352953201, ( -1), ( -1), 649405061, 473172225, ( -1), 441574826, 358241250, ( -1), ( -1), 184525399, 927626819, 475931613, 710033248, 947238579, ( -1), 393335113, 91602418, ( -1), 793086473, 168381247, 978746078, 54331816, 741181364, 431364542, 106057586, ( -1), 11352538, 867212119, ( -1), 169372154, 794903968, ( -1), ( -1), ( -1), 356555639, 996290545, 310077615, ( -1), ( -1), 682030960, 178343588, ( -1), 511451057, 196213256, 412907600, ( -1), 437308880, 953009370, ( -1), 886790646, 61818595, 431007033, 537564632, 884499535, 797177234, 514697359, 448224818, ( -1), 107498370, 739940756, 896027723, 655894161, 97504013, ( -1), 831265645, ( -1), 207201526, 937984269, 770104288, ( -1), 29857450, 855692694, 259433780, ( -1), ( -1), 275627469, ( -1), 47603697, 871358360, 21947285, 254389514, ( -1), 191947545, ( -1), 427104339, 296951284, 458906007, 225168103, 614671881, ( -1), 394907823, 661591952, 5008545, 276025653, 465294493, 828206074, 539676152, 663064981, ( -1), 937377246, 377089121, ( -1), 497781705, ( -1), 300686926, 81135546, ( -1), ( -1), 455057662, 193697419, 172210307, ( -1), 323379106, 875294126, 213995169, ( -1), ( -1), 972430913, 226057121, 135855568, ( -1), 566474975, ( -1), 734883943, 178572078, 212879030, ( -1), 616057612, 795600747, 340485082, ( -1), 921049176, 444286236, 580011403, ( -1), ( -1), ( -1), 894746652, ( -1), 939769905, 170765376, 907368062, 54363410, ( -1), ( -1), ( -1), ( -1), 887548676, 761407216, 709694330, ( -1), 750577452, 354233175, 847041709, 136220582, 961469203, ( -1), 653248061, ( -1), ( -1), 204335763, 73384912, 563207296, 150141362, 768446869, 668306830, ( -1), 750118432, 306229010, 15516090, 419485253, 677885468, 858388820, 313668712, ( -1), ( -1), 692609906, ( -1), ( -1), ( -1), ( -1), 124045897, 99757231, ( -1), ( -1), ( -1), ( -1), 802918503, 92966756, 695497051, 957147421, ( -1), 574671857, 627106845, 852781164, 135235897, 951111861, 46680323, 802019574, ( -1), ( -1), 537078155, 920646195, 826837170, ( -1), 185650172, 794080754, 946361084, ( -1), 343339322, 499560113, 925369760, 684160041, 97259027, ( -1), 643030345, 562041619, 284229157, 246171912, 724504086, 331579825, 586303936, 375965229, 809570035, 351553317, 704733965, 251962804, 555569737, ( -1), 358590124, 385030980, ( -1), 86801790, ( -1), ( -1), 146683165, ( -1), 482864148, 810793061, 279017286, ( -1), 773724394, 428607248, 593882067, 327228548, 825919530, 439211520, 467399526, 709030788, ( -1), 398315310, 214605714, 913882617, 736126486, 301950040, 849817353, 640612465, ( -1), 469872603, 328125876, 950928033, 438767319, 688622303, 760573112, 130997814, 950820798, 660629126, ( -1), 982026376, 279903275, 556681895, 612167764, 519977580, 5761173, ( -1), 176232595, 707169112, ( -1), ( -1), 933873031, 257470804, ( -1), ( -1), ( -1), 172432967, 589485720, 771609375, ( -1), 497487441, ( -1), 595380131, 464787010, ( -1), 619527723, 234664302, 1995965, 680806498, 245294660, 220103920, 515148505, 279987322, 380305293, 148199271, 70548871, ( -1), ( -1), 747098575, ( -1), 855849247, ( -1), 189986145, 442763827, 354852509, 943812123, ( -1), 127542480, 532483932, 775952714, 181660231, 228469236, 409297398, 828925586, ( -1), ( -1), 321238985, ( -1), 300457155, 906400992, 179920281, 368322912, 976980137, ( -1), 850773284, ( -1), ( -1), 818569647, 875067986, 696589703, ( -1), ( -1), ( -1), 842571375, 482283192, 33791832, ( -1), 116035961, 868121291, ( -1), 43504086, 913062774, ( -1), 53064868, 54073486, 335262812, 395679133, 998367843, ( -1), 274892534, 412561825, 547487984, 417894296, 244643937, ( -1), ( -1), 719200422, 199099757, ( -1), 678349280, ( -1), ( -1), 318592789, 735311369, ( -1), ( -1), 132614343, ( -1), 689314305, ( -1), 926267169, ( -1), 811112368, ( -1), 923197238, ( -1), 144806495, ( -1), 419236229, 85356910, 361629968, 62046914, ( -1), 952500575, ( -1), 291268081, 792552446, ( -1), 419231880, 521260408, 718690197, 956940920, ( -1), ( -1), 288357315, ( -1), ( -1), 651182276, 261956055, ( -1), 974586637, 498997488, 234272448, 854924310, ( -1), 410297743, 384065539, 247767418, ( -1), 136701075, ( -1), 21798189, 96855880, 965582479, 182653299, ( -1), 326723362, 669945956, 135081398, 31822192, 404439143, ( -1), ( -1), 972730055, 886948575, ( -1), 665303078, ( -1), ( -1), 669092733, 195128681, 206735907, 933891993, 438919224, 581288324, 805659816, 408167040, 792295779, 633279872, 640470214, 630418191, 92792891, ( -1), ( -1), 212524373, 493865420, 251477335, ( -1), ( -1), 824992183, 292407396, 94272565, ( -1), 624124718, ( -1), ( -1), 542016700, 233774087, 309231083, 663984538, ( -1), 724905782, 522191430, 845679465, 996643734, ( -1), ( -1), 549058825, ( -1), 561210369, 37231692, 719430106, ( -1), 227548169, 574973141, 429643632, 864792877, 920355859, 771976549, 287356538, 663542562, 721230573, 258835130, ( -1), ( -1), ( -1), 748413208, 625687381, 225493521, 888245215, 839314502, 573321376, 649472579, 262070315, ( -1), 594247632, 146233376, 228630397, ( -1), 553305776, 250654855, 608264136, ( -1), ( -1), 46210443, 320306761, 504049, 569962423, ( -1), 576914340, 555206510, 215192225, ( -1), ( -1), ( -1), 416097914, 750494830, ( -1), ( -1), 920680789, 517074278, ( -1), ( -1), 600056299, ( -1), 728569210, ( -1), 215947919, 893031737, 930396550, 573500419, 248914207, 481473882, 164857588, 184311562, 171227187, ( -1), 28610432, ( -1), 311144027, 181031992, 179567627, ( -1), ( -1), 552727921, 708538849, 300704657, 311052944, ( -1), ( -1), 582683126, 323122479, ( -1), ( -1), 179988172, 11601732, 144222878, ( -1), 975702290, ( -1), 281499846, ( -1), 653968990, ( -1), 418941688, 163460980, ( -1), 766835061, ( -1), 837661511, 775113356, 41691836, 628801748, 735482264, ( -1), 340952728, 136959439, ( -1), ( -1), ( -1), ( -1), 159802684, 658966021, 396764231, ( -1), ( -1), 192617976, 89138660, 259429295, 235787665, 192641861, ( -1), ( -1), ( -1), ( -1), ( -1), 880851052, 249201464, ( -1), 329428734, ( -1), 776604175, 946038188, 129163887, ( -1), 367627823, 950822692, ( -1), ( -1), ( -1), 531828041, 772678863, ( -1), ( -1), ( -1), 909208890, ( -1), 679572398, 722006606, 709269447, 737963436, ( -1), 763031530, 162947712, 544551018, 346644641, 59143584, 272581943, 999462951, 913306559, ( -1), ( -1), 758209452, ( -1), 942086312, ( -1), ( -1), ( -1), ( -1), 824269169, ( -1), ( -1), 106553941, ( -1), 509751749, 578919956, 261919524, 985521824, ( -1), 141948423, 907244718, ( -1), 177044170, 595729088, ( -1), ( -1), 89492252, 661753130, 536350653, ( -1), 963066975, 267691587, 46249776, ( -1), ( -1), 493878688, ( -1), 204330053, 363331895, 939122881, ( -1), ( -1), 225260595, ( -1), 625411133, 893250378, 936383253, ( -1), ( -1), ( -1), 959352474, 565814496, 691145380, 174280673, 624745799, 928036172, 791760392, 211961801, 481761805, 185541087, 966444189, 839481832, ( -1), ( -1), 514001130, ( -1), 665434998, ( -1), ( -1), 367970632, ( -1), 981994008, 883113784, 328140244, 513722842, 916443102, ( -1), ( -1), 341235848, 946791626, 24568166, 34783082, ( -1), ( -1), ( -1), 47709403, 599812451, 74476002, ( -1), ( -1), 607186490, 469993138, 329315314, ( -1), ( -1), 126248791, ( -1), ( -1), ( -1), 67679496, ( -1), 723230329, 895020776, 823620444, 834295194, 866941598, 440699456, ( -1), ( -1), 311049598, 677368221, ( -1), ( -1), 647223847, 717337221, ( -1), ( -1), ( -1), 262854040, ( -1), 657760901, 906024795, 969106957, 255588432, 58070974, 668226489, ( -1), 385321582, 539461920, ( -1), ( -1), 168410188, 639678366, 585702037, 516353305, ( -1), ( -1), 98287810, 90835415, 972622279, 84200489, 746352907, 328991110, 941851228, ( -1), 636159687, ( -1), 365637882, 207808252, 883334473, 991288786, 477215555, 977724602, 259767418, 908107375, 584748002, 64319641, 859167109, 946167847, ( -1), ( -1), ( -1), 276565310, 33413437, ( -1), 372695945, 914054242, 514312635, 287402777, ( -1), 28960446, 328345613, ( -1), 698722121, ( -1), 193705527, 416469427, 550692975, 337193503, 172871112, 992321269, ( -1), 54797413, 977337863, 995742163, ( -1), 865671414, ( -1), ( -1), 545644934, 895890239, 908953258, ( -1), 576502706, ( -1), 569276904, ( -1), ( -1), ( -1), 592192997, 169186004, ( -1), 973927032, 559089146, 417638057, 191852541, ( -1), 51912384, 622635414, 380149358, 16364897, 514565477, ( -1), ( -1), ( -1), 281469284, 285900898, 882398486, 506227917, 258661883, 563903803, 52405489, ( -1), ( -1), 654653533, 261651231, 134881875, 995481856, ( -1), 874452847, 953829153, ( -1), 300816379, 44842305, ( -1), 690023523, 287090744, 861083232, 854694763, ( -1), 716821870, 958391367, 729650580, 587738150, 458943437, 315330715, 973821735, ( -1), 913272938, 560294000, 527548116, 986871059, 958110302, 925454742, 506915068, 202214856, 43063454, ( -1), 789914907, 243147514, 195768296, 129054348, 671908247, 301197510, 735237479, ( -1), 67250330, 748091270, 978410546, 447244498, 770745155, 303632613, ( -1), 963685335, 495061843, 715691918, ( -1), 392057865, 465017719, ( -1), 172689392, ( -1), 848713267, 217321364, ( -1), 366020084, 669918769, 815206167, 239642277, 638826641, 93824779, 584655681, 512968757, ( -1), 321609369, ( -1), 696307123, ( -1), 181455730, 158988620, 201885599, ( -1), ( -1), ( -1), ( -1), ( -1), 295992519, ( -1), 95096867, 485054082, 801952624, 748945566, ( -1), 690240704, 2769256, 132418973, 943249269, 978551221, ( -1), 782785548, 423491388, 747501759, 666216282, ( -1), 242501525, 959482601, ( -1), 63922649, ( -1), 696104640, ( -1), ( -1), ( -1), 96739769, ( -1), 951133347, 145223463, 970310202, 761753812, 469556842, 739394503, 100524987, 204563287, ( -1), 547020742, 690928675, 143259116, 941755474, 606778753, 607959679, 396789461, 458207649, 706865011, ( -1), 183949674, 796591495, ( -1), 98891745, 794130180, 424179712, 608326308, 793797059, ( -1), 922879839, 61089923, 541129549, 601109959, 536302876, ( -1), 606493183, 705213243, 557558572, 281428480, 922243886, ( -1), 415914517, 423139085, 41313443, 198799675, 606415074, 120233973, 751114913, ( -1), 524182899, 821248305, 961247459, 393774049, 450040993, 236662824, ( -1), 209552576, ( -1), 711454364, 345636101, 592350399, 167413969, 365174773, 760350938, 7757538, 805260404, ( -1), 765359158, 32768912, ( -1), 990501176, 190177905, 983698474, ( -1), 899052873, 898005154, 120544385, 402188071, 498969902, 664283895, ( -1), 413853610, 281120242, 122570464, 477770525, 938868327, 361848756, 189309267, 638092965, 678181836, 452342087, 574527098, 651093328, ( -1), 130815299, 985926716, 643342351, 610275761, 259303619, 713902383, ( -1), ( -1), 983971904, 819520964, 163726253, 187043883, 211003545, 59498353, ( -1), 188666752, 144186730, ( -1), 436117137, 757328948, 87172028, 497845353, 181587371, ( -1), 843879616, 768538658, 120427743, 485348447, 556151969, 371882666, 315721634, 907463064, 648577791, 273403680, ( -1), 823657036, 826457865, ( -1), 981831269, ( -1), ( -1), 89485578, 644054426, 774436626, ( -1), 642680574, 821503057, 364429175, 127677847, 589004966, ( -1), ( -1), 810954534, 173574414, ( -1), 981517224, ( -1), 924983247, ( -1), ( -1), ( -1), ( -1), 361111893, 855617753, 892478371, 289726356, ( -1), 990802136, 585606657, 567949897, ( -1), 845065382, 808345989, 124827247, 454826994, 732493312, 71343664, ( -1), 752624181, 675265776, 554646707, 156669372, ( -1), 210002236, 702636994, 679257733, 66827834, 541439176, ( -1), 419713588, 641213345, 333506930, 681875165, ( -1), 847224596, 857255401, 604671165, 129138258, 654445923, 25080436, 505609659, 516141476, 161562865, 594687909, 942426503, 589763964, 891713999, 618183071, 605986571, ( -1), ( -1), 703531846, 490690631, ( -1), 94829854, ( -1), 105901586, 198021771, ( -1), ( -1), 293488973, ( -1), 668171993, ( -1), 381240485, 475677475, 613560880, ( -1), 396602956, 823742368, 365990641, 762829637, 260591616, 700546963, 376989340, 732526665, ( -1), 26171685, 622113849, 467538707, 639653176, ( -1), ( -1), 588816630, 578709968, 399418585, 832813282, 132588650, ( -1), 543280047, 561454764, ( -1), 943914076, 480001343, ( -1), ( -1), 906156791, 223621345, 11870374, 640879076, ( -1), ( -1), 741192133, ( -1), ( -1), ( -1), 835361084, ( -1), ( -1), 10628817, 69520733, 487722375, ( -1), 683819696, ( -1), 371827457, 865559631, 794444147, 83734000, 986138151, 572337908, 945797793, 212534459, 512879843, ( -1), 234228393, 792909698, 271499069, 584420619, ( -1), 487450703, 79152871, ( -1), ( -1), 80888412, 731685600, 31271622, 374386247, 472929857, 507716587, ( -1), 408238343, 577568367, 993398420, ( -1), 231948510, 883090254, 575534277, 705206877, 78990170, 664014003, 839438559, 449843792, 28130350, 108190041, 683728160, ( -1), 772583342, ( -1), ( -1), 962490641, 56174246, ( -1), 252437776, 821204041, ( -1), 35578926, ( -1), ( -1), 644104247, ( -1), 897335726, 291103755, 356327667, 362765929, 588757868, ( -1), ( -1), 109678178, ( -1), 999625675, 641550877, ( -1), ( -1), ( -1), ( -1), 518297936, ( -1), ( -1), 294678915, 644604373, 23867626, 514818490, ( -1), 25668999, 48352892, 604693047, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 331690254, 861835210, 231077616, 868450901, 603094951, ( -1), 335915979, ( -1), 828504770, ( -1), 43503609, 725046142, ( -1), 581611496, 535298393, 704051943, 539255771, 575162940, 734738236, 463006561, 24118214, 96483667, 892669564, 82015217, 2786289, 459014276, ( -1), ( -1), 284377711, 378019061, ( -1), ( -1), ( -1), 489930559, 962397327, 99637899, 71092059, 712679536, 332033172, ( -1), 535230294, ( -1), ( -1), ( -1), 893527064, 404144870, 285210983, ( -1), ( -1), 651413037, ( -1), ( -1), 535289853, 425587107, 397380483, 48757547, 822076849, 184860797, ( -1), ( -1), 693575722, ( -1), 835790147, 998565734, ( -1), 258367766, ( -1), ( -1), ( -1), 825568662, ( -1), 837309764, 335323035, ( -1), 13433953, 657549366, 426086303, ( -1), 119707515, ( -1), 351693587, 627786038, 34459272, 889669292, 253314907, 865783408, 663795323, 897515005, 644940496, 426462541, 309448366, ( -1), ( -1), 535351277, ( -1), ( -1), 452097241, 110226232, 664829726, 170981612, ( -1), 793139234, 523969510, 136880508, 387053992, 93380734, ( -1), 49578908, ( -1), 235653213, 875461381, ( -1), 879155444, 628859078, 459599987, 465975874, ( -1), 894248121, 658185565, 643657995, 42787789, 173772394, 29822726, 634817140, ( -1), 45627525, 63148889, 624659966, 927445041, 640880513, 224481627, 834750076, 510810518, 743255397, 453464405, 84369175, ( -1), 248254121, 363756744, 688233690, ( -1), 485331877, ( -1), 208882524, ( -1), 910164428, 870217312, 937639620, 622084018, ( -1), 344832883, 600444266, 813567113, 101230459, 412043627, 203012400, ( -1), ( -1), 958078951, 842761595, 915935908, 418170575, 88166417, ( -1), 386277639, 148402308, 731718040, 259519758, 990038111, 795449154, 963826527, 373656964, 116417060, 923369803, 408716828, ( -1), 995542595, ( -1), 104809336, 57769034, 265494322, 536696327, ( -1), ( -1), 801714224, 692379887, ( -1), ( -1), 423360947, ( -1), ( -1), 974766031, 549287678, ( -1), 140506142, 454170479, ( -1), ( -1), ( -1), ( -1), ( -1), 659058688, 89536612, 646086229, 591112663, 761698255, 728886250, 426325953, 811371381, 229914596, 509838165, 723641366, ( -1), ( -1), ( -1), ( -1), 349422693, ( -1), ( -1), ( -1), 513879400, ( -1), 154433479, 360172893, 931337715, 99877662, 609837588, 255684903, 921557630, ( -1), 454489024, 910771050, 941513960, 938737624, ( -1), 785369817, 117059824, 133274042, 623146657, 177211309, ( -1), ( -1), 899690084, 587951215, 306017970, 593263919, 314132493, 671576940, ( -1), 57113737, 573741493, ( -1), 385308284, ( -1), ( -1), ( -1), 173826868, 130008584, 634297515, ( -1), ( -1), 668924988, ( -1), 550417067, 872844454, 539491365, 401342070, 554914083, 333846111, 851098647, 18958018, 811687667, 512531766, 698595470, 453694574, 214163991, ( -1), 527302, 305503026, ( -1), 895234959, 791202193, 412699079, 103345316, ( -1), 602822407, 579515318, ( -1), ( -1), 120237157, 989160966, 390098680, 261171372, 110425818, 991716386, 800091397, 576394477, 914052968, ( -1), 44778479, 617390478, ( -1), ( -1), 273084928, 836725293, ( -1), 701579327, 13581348, 295736540, 898803214, 150574430, 432589166, 185889630, 467117694, ( -1), ( -1), ( -1), 901147662, ( -1), 64994721, 994223818, 23272467, 850605033, 351678796, 722856637, 458294006, 802662343, 317872644, ( -1), ( -1), 29439704, 739077123, ( -1), 162160994, 152726375, 762959001, 155662106, 229477147, ( -1), 787919191, 16242841, 215823272, 517212043, 131389381, 741697088, ( -1), 974190477, 812240422, ( -1), 742838118, 143166229, ( -1), ( -1), 130730418, 239183905, ( -1), 492060571, 130726157, 932448642, 114696259, 439703311, ( -1), 639691552, 348083912, 946545330, ( -1), 227112552, ( -1), 29508574, ( -1), 559601257, ( -1), 505177147, 257307671, 414501216, 642730417, 128909226, ( -1), 974438291, 692577593, 801757236, ( -1), 666627114, 236313857, ( -1), 748919926, 441533539, 186703022, ( -1), ( -1), 510339898, 645687807, 946220067, ( -1), 445052756, ( -1), ( -1), 87686447, 233080918, 483913094, 74187570, ( -1), ( -1), 269293170, 994252496, 126277738, 119033905, 727907822, ( -1), 517996666, 99098430, 640269290, 252912694, ( -1), 490289384, 489238265, 397125347, 219588435, 853678286, ( -1), 623653632, 482359872, 833509213, 461557, 49325721, ( -1), 458059279, 515795568, 881928835, 989531689, ( -1), 327048937, 873439435, 696496621, 26979024, 451405541, 962114797, 952434368, 710909213, 234979679, 470173715, ( -1), ( -1), ( -1), 519637304, ( -1), 722470267, 68975869, 113499873, 290333541, 196098029, 755769064, ( -1), ( -1), ( -1), 460767585, 333647529, ( -1), ( -1), 323083934, 575719115, 956061914, 859135294, ( -1), 991482423, ( -1), 764111291, ( -1), ( -1), 409601819, 811447441, 680052391, 367188843, ( -1), ( -1), ( -1), 745349077, 821539535, 731344636, 563604708, 807505047, ( -1), 923412765, ( -1), ( -1), 732476316, ( -1), 166415144, ( -1), 640428188, ( -1), 597896159, 385293505, 172866552, 675504075, 441815992, ( -1), ( -1), 909466231, 585020182, ( -1), 120229843, 691501878, 137867488, 698707186, 965858402, ( -1), 677134200, 550793190, 328994498, ( -1), 243518625, 696625499, 756756, 722073002, 512252348, ( -1), ( -1), 615117963, 810032958, ( -1), 342243924, ( -1), 719814779, ( -1), ( -1), 568622201, ( -1), ( -1), ( -1), 213345032, 222495034, 216915614, ( -1), 631916269, 457176521, 351874420, 148843651, ( -1), ( -1), 798349044, ( -1), 387311706, 523481421, ( -1), 387324362, ( -1), 324849205, ( -1), ( -1), 883470466, 111591418, ( -1), 891620399, 741038979, 16784005, 833208177, 66228518, ( -1), 360060561, ( -1), ( -1), 987845970, 935739766, ( -1), ( -1), 222012658, 995506982, 978492593, 916323242, 592721008, 96103545, 222395887, 825641974, 558388229, 881878350, 989001332, 347694613, ( -1), 303641972, 785433668, ( -1), 30327063, ( -1), ( -1), 789543530, ( -1), 46806747, 438916298, 151232745, 230788060, 174886225, ( -1), ( -1), 923018575, 71748799, 214047906, ( -1), 910427253, 271421876, ( -1), 772165188, 958214700, 81340138, 848512201, ( -1), ( -1), ( -1), 754915301, 490893186, ( -1), 554742030, ( -1), 635805787, ( -1), 146593865, 908592402, 561295035, ( -1), ( -1), 194869288, 31178601, 76935231, 600269184, 334762924, 582461651, ( -1), 674791349, ( -1), ( -1), 201019530, 734045379, 491665558, ( -1), 209998405, ( -1), 248840157, 844510534, 826265784, ( -1), 973893555, ( -1), 524114674, 563137228, 635653644, 968330451, 658536126, 521097695, 785159275, ( -1), 997822555, ( -1), 29960738, 16922140, 215355868, 305908043, 954834694, 71568676, 467884297, 319486530, 601278885, ( -1), 867120986, ( -1), 960159583, ( -1), 373539181, 454526351, 261431145, ( -1), 48774924, 124634349, 950525771, 359332883, 701628977, 981539989, 626013596, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 476308728, 263217039, ( -1), ( -1), ( -1), 211310269, 882027276, 170171672, 191671945, 195479794, ( -1), ( -1), ( -1), 376612441, 89789430, 310581877, 276384558, 284816125, 207937596, 71276079, 471597980, 165027507, 26596668, 114844434, 897986580, ( -1), 355117139, 728947077, ( -1), 343750243, ( -1), 551501190, ( -1), ( -1), 966942706, ( -1), 22579019, 9561955, ( -1), 314312692, ( -1), 92817200, ( -1), 640252897, 558811359, ( -1), 308707360, 107952087, 580473010, 412191965, 72432720, ( -1), 110177496, 948334199, ( -1), 691070328, 245350338, 740409841, ( -1), ( -1), ( -1), 643765760, ( -1), 299383685, 11622519, ( -1), 488849958, 520117679, 249850486, 892787130, ( -1), 916067003, 584338114, 197808698, 956300487, 649505567, 600231070, 275070112, ( -1), 22311322, ( -1), ( -1), 481140048, 429766563, 173028842, 815510077, 470359511, 49130720, 612763917, 811714287, 949339793, 657621319, 805365837, ( -1), 836980348, 442750724, 45581482, 837338108, ( -1), ( -1), 886710006, ( -1), 990244031, 451522531, 128762782, ( -1), 867022446, 238147562, 667912537, ( -1), 948395186, 266340058, 717045466, 664464927, 165681963, 897775547, 265044298, 816878255, 342080209, 150349213, 708188672, 162758681, 913739533, ( -1), 745557721, 227245223, 767237773, ( -1), 89676717, ( -1), ( -1), ( -1), 721371278, ( -1), 397684779, ( -1), 509171420, 21699540, 350787782, 953256318, 930655266, 11729474, 32087412, 490174107, 586651918, 398525999, 640166373, 943098270, ( -1), 968408447, 961211753, 166161225, ( -1), ( -1), 741071783, ( -1), 214288386, ( -1), ( -1), 619893173, 228714406, 598799686, ( -1), ( -1), ( -1), 734278632, 279489612, ( -1), ( -1), ( -1), 621811604, ( -1), 422673068, 80248562, 774892618, 511836454, 73151954, ( -1), 345053764, 302297869, ( -1), ( -1), 46313322, 214284685, 753605648, 143566599, 104711172, ( -1), 928532208, ( -1), 830493185, ( -1), ( -1), ( -1), 562957827, 815209478, 737513485, 472484530, 767712548, 317311207, ( -1), 161487361, 813055662, ( -1), 150644583, 252624908, 462240887, 502061926, 39158287, 105508521, 624418607, 943875893, ( -1), ( -1), ( -1), 953596861, 227499876, 703004489, 641105639, 636565132, 267892348, 829840375, ( -1), 50422950, ( -1), ( -1), 351570420, 57909846, 451160366, 198118663, 764639121, ( -1), ( -1), 850561151, 443804725, 386683284, 215076469, ( -1), 645041175, 91077436, 147828449, 913352379, ( -1), 465154613, 95926264, 115783426, ( -1), ( -1), 418188703, 83913718, 759567261, ( -1), ( -1), ( -1), ( -1), 142803152, 684567619, 304366283, 685876670, 870259315, 263342920, 741611495, 852310855, 272350877, ( -1), 939188894, 561754322, 880073735, 650985580, ( -1), 950543924, ( -1), 512098832, 69951356, 716972547, 805400987, 147169995, 904999856, 462633843, 203676558, 948830276, ( -1), 318920416, 875143868, 742453524, 918335952, 458110550, 387601608, 637428824, 677347574, ( -1), ( -1), ( -1), ( -1), 595246246, 833675468, 40304923, 356393803, 873343613, 383772662, 395884150, 829557663, 443938736, 438635975, 31905839, ( -1), ( -1), 725825587, 436813920, ( -1), ( -1), 212335846, ( -1), 718929554, 871750679, 995951525, 242324498, 6056723, ( -1), 543477664, ( -1), ( -1), 713781434, 30659634, 691275914, 168169128, 855453098, 773367782, 365471361, ( -1), 573824153, ( -1), 137751295, 946330392, 468561787, 525795166, ( -1), ( -1), ( -1), ( -1), 483385098, ( -1), 109754444, 27501143, 29495830, ( -1), 943113539, ( -1), 127563500, 390508578, 160859918, ( -1), 705572001, ( -1), 486525015, 406625313, 611547800, ( -1), 197031190, 178462355, 153961538, 107732340, 393493406, 536011497, 459138397, 1277658, ( -1), ( -1), 830415905, 254307154, ( -1), 608917184, 682124532, 606522873, 922694234, 551992982, ( -1), ( -1), 214422884, ( -1), ( -1), 630293183, ( -1), 371727235, 820219465, 242339866, 843967534, 427123807, 108825291, 632691078, 603344279, 130829314, 441287211, ( -1), ( -1), 833078410, 628984176, 928872057, 313531778, 325670564, 137015738, 19694604, 437848099, 201182573, 948836870, 874064295, 551467073, ( -1), 959390032, ( -1), ( -1), 996287003, 42734161, 666283561, ( -1), 338326671, ( -1), 770518808, 142990989, 368642994, 641979608, ( -1), 714800603, 110242726, ( -1), ( -1), 645224886, 428037128, 853804743, 683760385, 474471375, 256672151, 765845560, 903791883, ( -1), ( -1), ( -1), 91830113, 713753412, ( -1), 695768751, 818685765, ( -1), 602273962, 623172081, 219128586, ( -1), 987709245, 335244723, ( -1), 328549321, ( -1), ( -1), 317347270, ( -1), 285163698, 837086029, ( -1), 419114520, 268174309, ( -1), ( -1), 513200892, 339399580, 972155120, ( -1), 639600828, 115102053, ( -1), 715637548, 206888650, ( -1), 297544422, 647548783, 921615282, ( -1), ( -1), ( -1), 924493838, 431642349, ( -1), 205760138, 615362949, ( -1), ( -1), 538745938, ( -1), 642494050, 891398961, ( -1), ( -1), 959773602, 260621204, 355708762, 409125306, 1790187, 979349935, 537697740, 567803908, 573562922, 893971689, 802113640, ( -1), ( -1), 642150698, 345809924, 519328629, 261429427, 285040251, 238971481, 320047097, ( -1), 160727757, 113794206, 264189032, 328493883, ( -1), 717969220, 251921804, 416514059, 84586925, 185438722, 879492562, 751765797, 862493582, 604144348, 11453588, ( -1), ( -1), 463389918, 910445597, ( -1), ( -1), 766055011, 438230183, 391449168, 908466043, 323274245, ( -1), 192016, 164464860, 274581858, 868891147, 271788402, 761711811, 681116998, 293786533, ( -1), ( -1), 621622455, ( -1), 4232226, 215835189, 151869349, 898970167, 963142360, ( -1), ( -1), 326509124, 677709441, 661549020, ( -1), 887556273, 798812889, 91855892, 248836682, 114928402, 609782830, 75598261, ( -1), 265963160, 815917588, ( -1), 409855576, 730362117, 697337188, 506179387, 795432838, ( -1), 941385955, 411984255, 29148692, 894141376, 613223767, 558418370, 529693828, 655947668, 800016547, ( -1), ( -1), 864556553, ( -1), 133283284, 695645659, 584217384, ( -1), ( -1), 331233838, 77063647, 589728705, ( -1), 418181995, ( -1), ( -1), 669484584, 585620286, 298032651, ( -1), 983758037, 815995156, 751162095, ( -1), 787027854, 89087, 986254510, ( -1), ( -1), ( -1), ( -1), 627295099, 312710369, 574930562, ( -1), 197745997, 611988057, ( -1), 855607596, 918537739, ( -1), 145600208, 302222708, ( -1), ( -1), 787974382, 285663251, 882235808, 865889307, ( -1), 378199409, 684130641, 228034506, ( -1), 18249164, ( -1), 949858001, 506504354, ( -1), 688214741, 199308569, 984843931, 620419624, 884657869, 441612259, 100201216, 817904844, ( -1), 520225785, ( -1), 760501737, 347155838, ( -1), 589661519, 256565628, 76840122, ( -1), 590634011, ( -1), 845786070, 911651462, 741004644, 491893465, 926211509, 16941357, 302903704, 5314597, ( -1), 74665345, 956910384, ( -1), 229739157, 793456791, 802593857, 454188230, 927267476, 86928982, ( -1), 91002327, ( -1), ( -1), 347899364, ( -1), 135970612, 350473625, ( -1), 266536375, ( -1), 683045116, 56610868, ( -1), 854750453, 133038367, ( -1), ( -1), 826175180, 364567816, ( -1), ( -1), 788258862, 294759405, 884430423, 698577303, 523476085, ( -1), 565331821, 423461270, 474892816, ( -1), 122367148, 92682452, 895630200, 913356005, 17006416, 874745555, ( -1), ( -1), ( -1), 990826984, 83813852, 887416776, ( -1), ( -1), ( -1), ( -1), 372820724, ( -1), 910406161, 367574769, 165927962, ( -1), ( -1), 936030024, ( -1), 107901247, ( -1), ( -1), 936781585, 401002251, 795921560, 109626865, 490573008, 434769965, 298003868, ( -1), ( -1), 273894597, 56083672, 710729799, 774262238, ( -1), ( -1), 321711454, 646496736, 530289387, 285735993, 570475708, ( -1), 726325660, 741528646, 673937040, 934063510, 98478783, 230709174, 92420595, ( -1), ( -1), 205746452, ( -1), ( -1), 887770600, 511194381, ( -1), 481888280, 825473798, 684818392, 597623576, ( -1), 424360047, 448075217, 771964115, 968944270, ( -1), 507773222, ( -1), 613151331, 515093643, 374878451, 477581487, 754434009, 991433676, 667697963, ( -1), 214982334, 927842732, 536414830, 485933102, ( -1), ( -1), 707906955, ( -1), 544794039, 265095290, 187943780, ( -1), ( -1), 824853082, 286664158, 656486623, 341613739, 417937044, 659261820, 463112145, ( -1), ( -1), 362636792, 207959514, ( -1), 30571127, 298265099, 283111891, 89189359, 918917845, ( -1), 47520898, 560140785, ( -1), 50651429, 292131343, 903092345, 677631980, 214734195, 529456193, 932201186, 435474758, ( -1), 725334714, 778953196, ( -1), 976266591, 626167290, ( -1), 661591229, ( -1), 639093742, 847625047, 371260534, 809497781, 338388578, 571277361, ( -1), ( -1), 247286793, 63871550, ( -1), 214627569, 877499062, 930714577, ( -1), 987387996, 54420114, 978761674, ( -1), 329273677, 815030977, ( -1), ( -1), 535466194, 464610850, 423235373, 907037301, 501796374, 378289597, 107744054, 590969629, ( -1), 916961210, ( -1), 661606430, ( -1), ( -1), 838781696, ( -1), 908599259, 995091837, 884213243, 143688667, 648512710, 20683693, ( -1), 731373668, 95983293, 187131103, ( -1), ( -1), ( -1), 629214225, ( -1), 845012091, 252011170, 220743747, ( -1), 446924278, ( -1), 528984388, 358728727, 241658009, 331200443, 488699836, 731172594, 871080015, 621639445, 751006382, 561104690, 376770946, 354852162, 143959421, 998768622, 230098202, ( -1), 124909317, 580998312, ( -1), 841070660, ( -1), 962622172, ( -1), 800149260, ( -1), ( -1), 743815239, 271908629, ( -1), 255894509, 163123752, 437962812, 229224334, 36306959, 767301460, 207889250, ( -1), 953688920, 131965336, 378062564, 689305436, ( -1), 65105612, 290541545, 156961477, 803302677, 675600947, 453010941, 930416687, 548804248, ( -1), 145307151, ( -1), 436541399, 633325829, 536708579, ( -1), ( -1), 273448417, ( -1), 700548824, ( -1), 593474502, ( -1), 25004589, ( -1), 602748551, 766480327, 896556551, 176889132, 906859946, 791578284, ( -1), 159689661, ( -1), ( -1), 227716951, ( -1), 833560782, 659156108, 597834260, 139448399, 186068657, ( -1), 580285695, 756120322, 989261063, ( -1), 370356299, 131075580, 429158271, 894242887, ( -1), 824008324, 801150908, ( -1), 830682977, 832714295, 491777999, 542393971, ( -1), ( -1), 383988913, 254451928, 172273007, 937215819, ( -1), 953356533, 28089050, 103459422, 913144174, ( -1), ( -1), 84380171, ( -1), 680242919, ( -1), 618394435, 204093462, ( -1), ( -1), ( -1), ( -1), ( -1), 658410065, 217073138, 177433431, ( -1), 22418509, ( -1), 340664221, ( -1), 263915825, 242731965, 706666483, 567624504, ( -1), 317407359, 661815224, 954536992, 913912036, ( -1), 435142589, 838506532, ( -1), 815448330, 242959868, 536145518, 928389651, 183354877, 984530973, ( -1), 974215716, 17970460, 124743548, ( -1), 919299007, 869541490, 440865336, ( -1), 635972937, 673828315, ( -1), 836864703, 348334202, 305133342, 451324455, 864193697, 264133600, ( -1), ( -1), 962592317, 107977438, 747179364, ( -1), ( -1), 693857442, 729076397, ( -1), 930955627, 246772124, 586287155, 747932605, ( -1), 324158043, 944012205, 922663169, 871738717, 346756618, ( -1), ( -1), 919355398, 539760616, ( -1), 621958671, ( -1), 470185899, ( -1), 444264969, 832468864, 558491084, 201765290, ( -1), ( -1), 785125083, ( -1), 723707200, 772172917, 620469051, ( -1), 145236462, 245179452, 919722148, 673954929, 262750888, 634598473, ( -1), ( -1), 276844226, 314783848, ( -1), ( -1), ( -1), ( -1), ( -1), 69114152, 400494142, 604607291, 53049255, ( -1), 213526301, ( -1), 530665484, 47412195, 91425919, 25973166, 205878615, 950667171, 93535982, 202506522, 175222627, 287024956, 750798413, ( -1), 106872341, ( -1), 12898698, 10390271, 909980022, 883573278, 850762655, ( -1), 499093931, ( -1), ( -1), ( -1), ( -1), 11461120, 96544002, 654582541, ( -1), 315799443, 337136505, ( -1), ( -1), ( -1), 207277096, ( -1), ( -1), ( -1), ( -1), 209704870, 292536941, 100836329, ( -1), 580328047, 232597946, ( -1), 903649817, 317629275, 544726617, 575641409, 967826343, 948690795, ( -1), 959651397, 840930454, 947083110, ( -1), 185203120, ( -1), 637207393, ( -1), 498964474, 496218618, ( -1), 248564249, 974971449, ( -1), ( -1), 297168545, 538793003, 931047723, ( -1), 704597421, 48167008, ( -1), 509943110, ( -1), 604233337, 146318267, 568911760, 685450384, ( -1), 824294079, ( -1), ( -1), 116146075, 761625735, 243243452, 380760587, 875855195, 691825462, 387655574, 371997130, 639978014, 332403011, 29541690, 831711183, 448026896, 392268105, ( -1), ( -1), ( -1), 617763376, 326922992, 1470590, 402116107, 662909935, ( -1), ( -1), 377514549, 813492931, 441761275, 624637678, 21782955, ( -1), ( -1), 956249887, 650846846, ( -1), 815502499, ( -1), 570980093, 839826144, 174802030, ( -1), ( -1), 676863522, 853024043, ( -1), 54060242, ( -1), 168243708, ( -1), 538268354, 959497403, ( -1), 852694150, 117899720, 917629104, ( -1), 944400692, 770363780, ( -1), 865667878, ( -1), 134094880, ( -1), 731711591, ( -1), 511529886, ( -1), 813547433, 925403976, 885144168, 48494003, ( -1), 39285051, ( -1), ( -1), 934121575, 859212033, 407081159, 131426772, ( -1), 410095151, ( -1), 242196396, 490868882, 874093271, 850862115, 604312075, 52599228, 836930032, ( -1), ( -1), 960325349, 637620447, ( -1), ( -1), 319800095, 168891353, 399702162, 479258462, 497223018, 483277730, ( -1), ( -1), ( -1), ( -1), 652419965, ( -1), 10060692, 291881271, 108456303, 664822827, 438384639, ( -1), ( -1), ( -1), ( -1), 451659167, 520574240, 8259380, 554120519, 519001059, 618996842, 714222741, ( -1), 414083441, 989547694, ( -1), ( -1), 234414736, 852985544, 353567557, 941972461, ( -1), 467925236, ( -1), 660071729, 26783616, 294785172, 638632616, 266056096, 837763546, 993671494, 594597550, 272398058, 822300519, 994537332, ( -1), 550825545, 576621038, 903415443, 751565996, 771621458, 432500594, 87773961, 771371337, 86217396, ( -1), ( -1), ( -1), 280568261, 927534385, 494992645, ( -1), 394592296, ( -1), 682081659, 95467098, 35527596, 927348731, ( -1), 27669003, ( -1), 77359979, 519890474, ( -1), ( -1), ( -1), ( -1), 747259691, ( -1), ( -1), 930637851, 504579520, 105259575, 100412369, 607207386, ( -1), 406846658, 551114465, ( -1), ( -1), ( -1), 322095548, ( -1), 92982063, 434920233, 826283983, 550958569, 738901187, ( -1), ( -1), 776498971, 67507143, 957777046, 863907742, ( -1), ( -1), 429897792, ( -1), 556288281, ( -1), 13394184, 102954209, ( -1), 637858418, 536014741, 181094824, 765072033, 931507071, 166359698, 907822190, ( -1), ( -1), ( -1), 898466365, 685154363, 227117416, ( -1), 187924102, ( -1), 891353384, 532546552, ( -1), ( -1), ( -1), ( -1), 576431416, 662340627, ( -1), ( -1), 844485466, 866723408, ( -1), 705957680, 186971645, 979021257, 359579281, ( -1), 318780243, 615686609, 536017455, ( -1), ( -1), 428367381, ( -1), ( -1), ( -1), ( -1), 195791444, 585273904, 734732801, 211905164, ( -1), 833715143, ( -1), 664899785, 811637436, 546075025, ( -1), 991732680, ( -1), 567404610, ( -1), 864874401, 361571522, ( -1), 910893012, 756860580, ( -1), ( -1), 777029768, ( -1), 632147821, 93310215, ( -1), 726194753, 225207807, ( -1), 20892109, 83667259, 605308248, 707930499, 621288525, 348580901, 938759524, ( -1), 614396055, 83536318, 357112196, 659318916, ( -1), 964565735, 680753124, 479113066, 729418196, 38762239, 346013701, 929338015, ( -1), 342633612, 607168691, ( -1), 559624681, 712967316, 543551421, 161930254, ( -1), 215740033, 982921878, ( -1), 141637680, 345669874, 135352624, 944736978, 413548318, ( -1), 962188399, 777918985, 903037793, 418192407, 257859968, ( -1), 569817074, 786362806, ( -1), 769227297, 693780831, ( -1), 226510468, 656966670, ( -1), 535550777, 172158938, 6725124, 511503231, ( -1), 782539661, 981048209, ( -1), ( -1), 360681220, 538050869, 929030507, 508032721, 536900396, ( -1), ( -1), 463357088, 451449226, ( -1), 97944673, 532083904, 213280565, 917438141, ( -1), ( -1), 289197006, ( -1), 349839059, 179860371, 99866726, 713925634, ( -1), 57503636, 205431936, ( -1), 711966837, ( -1), 338431289, 758047450, 436119365, ( -1), 415337208, 612136027, 584449738, ( -1), ( -1), 808134360, 114627712, 545350252, 43958933, ( -1), 138240564, 258543364, ( -1), 178856149, 799340962, 659476739, 945094415, 343494852, 48380446, 876706718, 846194078, ( -1), 611272124, ( -1), 846215611, 398354035, ( -1), 345589919, 323999097, 84512783, 832736196, ( -1), 282635594, 739949461, 582148365, ( -1), 864742749, 826097017, ( -1), ( -1), 186803569, 684408815, 904283676, 960980033, 50806169, 849005875, 926110011, 151680427, 951991537, 240135603, ( -1), ( -1), ( -1), 529532826, 817355180, 842052464, ( -1), 869906315, 237527014, 25496011, 833020295, 36365836, 456688523, 723489782, 60000261, 716522401, ( -1), 63421004, ( -1), ( -1), 8434252, 756840791, 371781609, 902830098, 264832449, ( -1), ( -1), 610567933, ( -1), 229871330, ( -1), ( -1), 742875293, 860686150, 736660793, 6624171, ( -1), 337533986, 194439179, 188254715, ( -1), 87306026, 124013654, ( -1), 72934999, 595450407, 860236655, ( -1), 487461589, 435069933, 662666924, 876366133, 510809332, 493132210, 203409221, 129140574, 900679549, 57718470, 526080210, 106172130, ( -1), 506199934, ( -1), 982187993, ( -1), 173927626, 962730456, ( -1), ( -1), 100566396, ( -1), ( -1), 439424358, 98812797, 203856936, 304962371, ( -1), 510111203, 273183862, 965266814, 179118968, 569014977, 554571339, 990248669, 541742869, ( -1), ( -1), 909922403, 95117343, 405242765, 687855762, 996566042, ( -1), 329020386, 862466927, 374848210, 825316673, 795892458, 928260509, 789225456, 909655003, 729274558, 228951959, 425716311, 935188805, 944338983, 952309080, 555140482, ( -1), 275329975, 495836779, 253339727, ( -1), ( -1), 549651518, 492300160, 306225089, 996644043, 936970515, ( -1), 755821722, ( -1), 942532495, 816984908, ( -1), 302127590, 435309868, 422864167, 825976159, 966150187, ( -1), ( -1), 834363529, 223691833, ( -1), 394708442, 596738362, 324159362, 828278460, 518318615, ( -1), 692467471, 927111309, ( -1), 155540428, 796346242, 591652990, 547446221, 807561176, ( -1), 905199082, 975516264, 387282676, ( -1), ( -1), 777575665, 845492877, 502192013, ( -1), 899098221, ( -1), 517653093, 541906600, ( -1), ( -1), 85458592, 236877186, 221665907, 944714787, ( -1), 138080040, 924106923, 449579334, 422569780, 872997045, ( -1), ( -1), ( -1), 911442121, 141503449, 520196312, 471256653, ( -1), 572751951, 825233181, 106274673, 125125539, 475031547, ( -1), 968023733, 568930305, 780693537, ( -1), 902412799, 962893821, ( -1), 190716710, 990969821, 527225204, 553987290, ( -1), 832228498, ( -1), 23102576, ( -1), 218160784, 792273616, ( -1), 820997551, 76748141, ( -1), 203054545, ( -1), 101240941, ( -1), 337971172, ( -1), 980557679, 582315249, 456911090, 977665843, ( -1), ( -1), ( -1), 125402285, 379017736, 783970834, 934621384, ( -1), 461890844, 856067849, ( -1), 253867335, 194778951, 55433210, 886854073, 380756349, 138636652, 98703972, 183483924, ( -1), ( -1), 39369773, 603563249, 925518670, 76423904, 921911185, 928809869, 599679515, 360714250, 693538605, 865867188, 908809609, 142592061, ( -1), ( -1), 743111038, 924359149, ( -1), 315629449, 395568376, 892928319, ( -1), 595378446, 156549582, ( -1), 656789612, ( -1), ( -1), 652726748, ( -1), ( -1), ( -1), ( -1), 901080689, 386929540, 498377740, 341001834, 101683244, 356757553, 390308531, 573298340, 637029140, 368828746, ( -1), 517115295, 793893408, ( -1), 596938029, ( -1), ( -1), 153617393, 596648282, 887160231, 46717417, 749929949, ( -1), 56781820, 531152659, ( -1), 169012752, ( -1), 537860668, 437412524, 866131086, ( -1), 908819407, 221666262, ( -1), ( -1), ( -1), 453747596, ( -1), ( -1), 872878856, 477441345, ( -1), ( -1), 649293429, ( -1), ( -1), ( -1), 273829717, 279035683, 454258404, 762353821, ( -1), 182390922, 930727284, 747327967, 513450118, 53398947, 407075478, 437944890, 387095408, ( -1), 718452836, 567988900, 748333822, 632956217, ( -1), ( -1), 656026744, ( -1), 629777709, 499622523, 87617505, ( -1), 434339317, 740537411, 857016936, 182825239, 892579484, 521939760, ( -1), ( -1), ( -1), 656131039, 424492800, ( -1), 824938065, ( -1), 585913637, ( -1), ( -1), 61172728, 953831888, 987409056, 149686729, 139759545, ( -1), ( -1), ( -1), 145302057, 385198817, 166750478, 847194447, 640352539, 611267732, 186990457, 125601506, 83389477, ( -1), 598456881, 897442358, 197078915, 75836947, 711092382, 934007667, 663398376, 503354055, ( -1), ( -1), 88855281, 628277735, ( -1), ( -1), 446544592, 977525178, ( -1), 455047066, ( -1), 533660825, 967024549, ( -1), 184759187, 97928404, ( -1), ( -1), ( -1), 709516531, ( -1), 586733504, 307403301, 822699207, ( -1), 933277139, 40088941, 438435781, 16509130, 343458317, ( -1), 148773360, ( -1), 324982614, ( -1), 9230122, ( -1), 301220140, 985889747, 694029826, ( -1), ( -1), 657539450, ( -1), 903072564, 629447549, 174429493, 133374049, ( -1), ( -1), 558887217, 398427522, 755721407, 466776946, 182532677, 576937472, 125277411, 738712656, 301997231, 969140934, 655203023, 107764469, 695129975, ( -1), ( -1), ( -1), 664287207, ( -1), 765467655, 974001612, 369201947, 228307194, 822126934, ( -1), ( -1), 730498125, 759066679, 261290983, ( -1), 270415951, 713753473, 24828819, 229744268, 283073432, ( -1), 374991518, ( -1), 56612134, 678244636, 545799958, 894951679, ( -1), 89789395, 772168007, 287229632, 199230020, 937750210, ( -1), 181558977, ( -1), 843749729, ( -1), 791806726, 599610733, 881868282, ( -1), 656017373, 298624267, 91844433, 767189233, 162410452, 636328329, 765582448, 586955034, 809605227, ( -1), 978265797, 878949256, ( -1), 582592680, ( -1), 783764931, ( -1), 139913510, 964665192, 961016005, ( -1), 695249622, 760041016, 492669120, 433311531, ( -1), 241925097, ( -1), 517680977, 510893633, 232637148, 511901303, 34097486, 971195771, ( -1), 790345424, 929917559, 373634416, 497916748, 390530179, 929767821, 670338808, 623746516, 99069756, 426763843, 606264797, 708978193, ( -1), 897126153, ( -1), 384514366, 305349816, 163618664, 444492753, 982098672, ( -1), 262565337, ( -1), ( -1), 757798569, ( -1), ( -1), 593019383, 525771842, 464005675, ( -1), ( -1), ( -1), ( -1), 299730723, 816659393, ( -1), ( -1), 952737870, 920201203, 57514639, 361240556, 618367217, 867187596, ( -1), 441330068, 200667032, ( -1), ( -1), ( -1), ( -1), 41657931, 191477411, 430159664, 501150592, 170769474, 819969856, 307869843, 296997063, ( -1), ( -1), 466774304, 970062758, ( -1), 64445748, 902269432, 643976563, 765701282, ( -1), 881701170, ( -1), 426870020, 150915239, 933679559, ( -1), ( -1), ( -1), 765218859, 813999822, 725054144, 861647133, ( -1), 462429960, 527626229, ( -1), 195249412, 870166724, 415225738, 982403924, 591373868, 622550905, 995257511, 947483941, 324270265, 940100827, 988505271, 721945022, 511424685, ( -1), 422154096, ( -1), 290934783, ( -1), 219666727, 368075123, 553743631, 927178437, ( -1), ( -1), 459815920, 642234657, 748351654, 206217533, 846045254, 701080291, 386326142, ( -1), 842037510, 583011791, ( -1), 654151593, 370414261, 940341047, 464417494, 325000051, 501778702, 583650535, 140991039, 404019641, 974965939, 717484712, 637902443, ( -1), 841061682, 236812640, 924334179, 592046989, 517142789, ( -1), 36238622, 986293419, 350231799, 521359598, 630551350, 585245632, 884266377, 46651821, 205467978, 826703926, 674370391, 500093766, 470666471, 486029381, ( -1), 244577, 196760275, 19766281, ( -1), 946345598, ( -1), ( -1), 775213755, 630710734, 173982779, 513379928, 194095223, 445891390, 788277125, 403123456, ( -1), ( -1), 922933745, 638820294, 276884161, 182246234, 500124042, 223551987, 960134387, 992193966, 988320425, 245460769, 789734307, ( -1), 400395810, ( -1), ( -1), 622593385, 953639753, ( -1), ( -1), 32301483, ( -1), 940530117, 681322790, 638884264, ( -1), ( -1), ( -1), 684159445, 170276678, 439774472, ( -1), ( -1), 75870663, 658942605, 98614550, 310700507, 758988444, ( -1), 360362340, ( -1), 104451006, ( -1), 65751586, 23622965, ( -1), 823603263, 787113155, ( -1), 33580893, 468837975, 916816212, 236301610, ( -1), 664474466, 392870020, 255585227, 752953297, 434047370, 515514680, ( -1), 208250856, 696481855, 939366603, 838154208, ( -1), 283880534, 77233825, 975005404, ( -1), 697092241, ( -1), ( -1), 749939044, 172278694, 80896855, 298210790, ( -1), 503643127, 926872895, ( -1), ( -1), 468295, 294536659, 707502348, ( -1), 693007624, ( -1), 814682466, 427095240, 513265666, 745276513, ( -1), 885497933, 23013695, 330852812, ( -1), ( -1), ( -1), 556601872, 516100689, ( -1), 818810806, ( -1), 608472368, 584082075, 914337325, 839283448, 727726123, 798500741, 359429543, 580062692, 118860006, 435529873, ( -1), ( -1), 846995599, 519210548, ( -1), 665661257, 237964020, 182203872, 700884165, 904974721, 128010669, ( -1), ( -1), 330289264, 396232824, 490471423, 500397340, ( -1), 643289225, 625679797, ( -1), 384119341, ( -1), ( -1), 290400035, 393118285, ( -1), 332700314, ( -1), 993876189, 807972375, ( -1), 686441108, ( -1), 654201723, 472092921, 673058458, ( -1), ( -1), 101002128, 950307535, ( -1), 331660188, 331790150, ( -1), 397014786, ( -1), ( -1), 355967273, 221109655, 603605494, ( -1), 40342711, 603871845, 162546146, 839338340, 863055242, ( -1), 848745565, ( -1), 90331763, ( -1), 236666456, ( -1), ( -1), 859998904, 795842606, 931178905, 880256154, ( -1), 96772289, 212887765, 293650094, 970824628, 90368619, 945265291, ( -1), ( -1), 195771256, 823318239, ( -1), ( -1), ( -1), 320429988, 52536762, ( -1), 724884844, 944361175, 769566859, ( -1), 628799133, 412678377, 826196478, 564845134, 721202711, 991983297, 172599696, 592908270, ( -1), ( -1), ( -1), 841651629, 804010480, ( -1), 456783923, 717970280, 649417815, ( -1), 505410750, 846625628, 249993227, 584549014, ( -1), 949351169, 469987239, 609647534, 88996767, 973688552, ( -1), ( -1), 317379318, 987901067, 920607336, 649487352, 455323920, 795224813, ( -1), 240189586, 430968373, ( -1), 857857691, 304232602, ( -1), 954494733, 560964689, 478464235, ( -1), 935707054, 860084404, ( -1), 3120988, 854083738, ( -1), 599091976, 921480308, 305602596, 269045178, 162860298, ( -1), ( -1), 802709548, ( -1), ( -1), 963075045, ( -1), ( -1), 493580191, 562767562, ( -1), 70504181, 887936146, 697345950, ( -1), ( -1), ( -1), 176194712, 991474706, 986740959, 915078294, 149781832, 416936039, 504444660, 179238102, ( -1), ( -1), ( -1), 241482137, 393020890, ( -1), ( -1), 919967423, ( -1), ( -1), 677896805, 819252777, 588623833, 755085619, 79156296, 884389063, 668493022, 89973009, 982613243, 458729869, ( -1), 529495072, 915980729, 875353963, 430190076, 485435931, ( -1), 286470715, 512497967, ( -1), 265759528, ( -1), 706244417, 737623824, 14570465, 324130167, 257369664, 631069585, 632048247, ( -1), 959550142, 717135596, ( -1), ( -1), 673495696, 205953477, ( -1), 406478858, ( -1), ( -1), 411143298, 969601908, 510045197, 313728065, ( -1), 901330392, 519479320, ( -1), ( -1), 397847306, 553777855, 900001187, 650666309, 906868974, ( -1), 59191568, 849964186, 315535328, 930577546, 486401185, ( -1), 625808938, 722300381, ( -1), ( -1), 317011642, ( -1), 461391724, ( -1), ( -1), ( -1), 612006022, 721713602, 554166113, 197128333, ( -1), 173429898, 650805925, 293887346, 349011741, ( -1), 283632540, 851777071, 811604370, 656259032, 274647498, 810584660, 825962966, 732651287, 276680129, 526659416, ( -1), 804805932, 564181864, ( -1), 864625848, 798819615, 501059458, 858931516, 193886683, 653120212, ( -1), 926959027, 61012015, 608570374, 636315231, ( -1), 574395493, 634952716, 867013438, 114420497, ( -1), ( -1), 201395720, 602044396, 637377698, ( -1), 46740479, 401617743, 53883736, 259373633, 909077811, ( -1), ( -1), 660580521, 674156927, 20102124, ( -1), 278301190, 341318175, 967882538, ( -1), ( -1), 39923134, 679242669, 726679994, ( -1), 625658707, 490000167, ( -1), 913416840, 39751454, 755441225, ( -1), ( -1), ( -1), 227359521, ( -1), ( -1), 715727728, 214308191, 157871019, 147256809, ( -1), 350879913, ( -1), 815266711, 736059493, 620661547, 536095351, 928917329, 699092585, 530181189, ( -1), ( -1), 823553949, 67376292, 407923045, 486121918, ( -1), 687825979, 834638274, ( -1), 815772988, 275122504, 823206599, ( -1), 580805997, ( -1), 881026216, 905906077, 785481640, 587827646, 328012551, 267555309, 597689784, ( -1), ( -1), 714640299, 300134754, ( -1), 855136820, 774539265, 980720710, 569597778, 623161568, ( -1), 796918387, ( -1), ( -1), 323258031, 109069260, ( -1), 535076148, 361625870, 43710127, 496188402, 586526361, 635478293, 68235913, 27178508, 692216687, 112055886, ( -1), ( -1), 163457731, 500257310, 140855733, 945883491, 780955145, ( -1), 57552354, 734351016, 87350054, 637207849, 320715067, 424831622, 31483759, 513384265, ( -1), ( -1), 987981588, 334300899, ( -1), ( -1), ( -1), 841272638, 446674086, ( -1), ( -1), 593962569, 279292865, 839845302, 834423673, 812404579, 522436303, ( -1), 293919439, 66503631, ( -1), ( -1), 629025756, 659371319, 864555307, 835672392, 611385098, 759701773, ( -1), 396730967, 18063395, 322161404, 545409398, 506327566, 5236428, 137393258, 434773256, ( -1), 186230381, 827871129, 270517787, 283313981, 670691669, 104624636, 799407642, 469298373, 75647105, 855597205, 630246483, ( -1), 112325943, 436921787, ( -1), ( -1), ( -1), 245283626, 513851382, 6324976, 833537362, 106106348, 411746175, 348818697, ( -1), 925298001, 961141383, 9202559, ( -1), 500387416, 17618324, 5214600, ( -1), ( -1), 392448808, 671505957, ( -1), 357647843, ( -1), 255587992, ( -1), ( -1), 680714041, 879054216, ( -1), 914660239, 694842749, 733483963, 978934286, 336535460, 562449578, 671625035, 82237827, 125068452, 507382490, ( -1), ( -1), 456706046, 442630122, 82268594, 929125398, ( -1), ( -1), 150693928, 288408232, ( -1), 768282036, 523314045, ( -1), 605582440, 473166765, 423023989, 97871380, ( -1), ( -1), 187736391, ( -1), 497784843, ( -1), 454235194, ( -1), 695969534, 6423826, ( -1), 331516758, ( -1), 747918595, 489897764, 997839068, ( -1), 170886778, ( -1), 77505348, 155349301, ( -1), 649896376, 611538067, 287665203, 313665969, 807640559, 38395806, 229186370, 979884688, 678804474, 188463683, 995916193, 594405958, 384813080, 568310860, ( -1), ( -1), ( -1), ( -1), ( -1), 696124819, 23781576, 638746173, 567765273, 405369974, 573420632, 725361622, 668157688, 172453758, 495107039, 476701674, ( -1), 79075969, ( -1), 854416854, 542741301, 572094115, ( -1), ( -1), ( -1), 881224113, 895410397, ( -1), 10448281, ( -1), 657188373, 602013540, 959878324, ( -1), ( -1), ( -1), 458647831, 343608008, ( -1), 664769492, 72619316, 974637995, 56273224, ( -1), 15603101, ( -1), 95176902, ( -1), 47761642, ( -1), ( -1), 602072494, ( -1), 734945863, 703282597, ( -1), 636040130, ( -1), 744587165, ( -1), 261355548, ( -1), 667818458, 468469712, 809259210, ( -1), ( -1), ( -1), 795375677, 634317284, 975646459, 458501411, 4799485, 232656741, 818632832, 240069815, ( -1), 107308367, 180403359, 983040506, ( -1), 313042667, 417871494, ( -1), ( -1), ( -1), 297827891, 455930334, 701525771, 939435418, ( -1), 831973818, 303282985, 986200845, 731160548, ( -1), 31701897, ( -1), ( -1), ( -1), 516077120, ( -1), 133926794, 769785302, ( -1), ( -1), 812884683, 930401452, 602229363, 630245148, 691637838, 484451233, ( -1), ( -1), 691970236, 969158697, 387226898, 247884506, 556714073, 667422119, 409582612, 215019396, ( -1), 4905547, ( -1), 931720696, 282050057, 835842981, 618536412, ( -1), 456438253, ( -1), 444783421, 41027984, 211901630, ( -1), 42822139, 65838385, ( -1), 789874494, 711677971, 652333890, 788105364, ( -1), 859194490, 5132023, ( -1), ( -1), 70136837, 299191195, 748796687, 392127719, 681327356, 424761949, ( -1), 279899568, ( -1), 698094283, 970682731, ( -1), ( -1), ( -1), 931403500, 405915845, 330754191, 190424579, 700703499, 128518505, 489602971, 631756819, 163786, 294229353, 563810155, 844528085, 898900454, 625058219, ( -1), 461868257, ( -1), ( -1), 231027092, 59786592, 533891186, 688014431, 635033388, 514140792, 193867357, 280555079, 519164858, 272839863, 282664334, 635089321, 317581214, 602844551, 922992739, 847943722, 505944550, 288018524, 758002012, ( -1), ( -1), ( -1), ( -1), ( -1), 798749611, 704669410, 384103992, 357809035, 426254035, ( -1), 629792393, 387482173, ( -1), 737664016, ( -1), 577427254, 958093859, 392269873, ( -1), 145946291, 549249760, 808730901, 775557254, 446727570, 781600000, ( -1), 435495681, 161000106, 846674157, 480664261, ( -1), ( -1), 778372394, ( -1), 321853550, 161120103, 28068112, 168856052, ( -1), 868442238, 930852167, ( -1), 894376611, 670598175, ( -1), ( -1), ( -1), 698898584, ( -1), ( -1), ( -1), 166451776, 182114351, 333576493, 475145335, 344902201, 463199322, 888790555, 52513177, 438029490, 366460637, 396613803, 247174461, 693659036, 545290901, 303852320, 908274535, 46737798, 648010964, 227986336, 908046250, ( -1), ( -1), ( -1), 19425477, 102117718, 225957106, 193214937, 288214229, 59987791, ( -1), 975152646, ( -1), 173208188, ( -1), 568986744, 638096037, 841623533, ( -1), 111477617, 197186268, ( -1), 725860466, ( -1), 995455139, ( -1), 565217235, ( -1), 265552802, ( -1), 375444478, 379903450, ( -1), 103573568, 542523060, 912558493, 970533737, 820998441, 198893227, 183361764, 251833607, 148818642, 75453919, ( -1), 308647239, ( -1), 31003437, 806456593, 305992548, 833945933, 835089886, 78281907, 105308761, 336170352, 189531547, ( -1), 33543219, ( -1), ( -1), 720248986, 587253702, 411552612, 934461084, 33601314, ( -1), 937343515, 989689559, 591161377, 384123958, 845005664, 799554803, 319236095, ( -1), 792322148, 778261311, 694175316, 249725576, ( -1), 243844524, 497630026, 38757499, 250167998, 628333061, 869742575, 997645302, ( -1), ( -1), 1330257, 516130048, 968725914, 30962386, 330930353, 630596538, 175035835, 926573207, 372572903, 543805178, ( -1), 266200660, 62676137, ( -1), 308096360, 904462414, ( -1), 149830029, 601312864, 429879312, ( -1), ( -1), ( -1), 862308861, 627617389, 621150992, 650418275, ( -1), 648006139, 152851606, 336517049, ( -1), ( -1), 307137298, 881006225, 54166528, 689596030, ( -1), 86923971, 832615028, ( -1), 312639275, 551712148, 973442634, 594188516, ( -1), 813260331, 607029719, 239593694, ( -1), 242295761, 913554066, 122745233, 708781436, 125600411, 374520969, ( -1), 283745315, ( -1), 76215892, 339796569, 774148316, ( -1), ( -1), 442395594, ( -1), ( -1), ( -1), 780703837, 791778806, 505257251, ( -1), ( -1), 697004774, 292292347, 639034327, ( -1), ( -1), ( -1), 586090361, 23753071, 9260740, 566021481, ( -1), 19665825, ( -1), 327932029, 704376092, 457548233, 243424208, ( -1), 848408814, ( -1), 663155462, 719192585, 338544679, 878804971, 55754703, 293067676, 821670669, ( -1), ( -1), 102306039, 17468664, 101092097, 285480030, 986990794, 185246327, ( -1), 327910890, ( -1), ( -1), 221058456, 512501683, 664589986, 283007816, ( -1), 575969063, 391838273, 841772165, 824836712, ( -1), ( -1), 236108773, 470042945, ( -1), 899780888, 564516558, 244199523, ( -1), ( -1), ( -1), ( -1), 865604217, ( -1), ( -1), 972339545, 254897622, 477380513, 82468367, ( -1), 114923716, 56656255, 398734244, ( -1), 522290893, ( -1), ( -1), 256659391, ( -1), 873733473, 518444958, 65934169, 215061890, 910806882, ( -1), ( -1), 623277025, 825779381, 820263209, ( -1), 342588486, 31709194, 170165927, 195025539, ( -1), ( -1), ( -1), 250527619, 271790963, ( -1), 70770179, ( -1), 609817697, 484275255, 882873404, ( -1), 708357927, 137331760, 413879527, 873813682, 79471692, 57942600, ( -1), ( -1), 120448889, 244615404, 868304118, 963566570, ( -1), ( -1), 597793139, 279171711, 301272365, ( -1), 170070608, 490854628, ( -1), 630714411, 93639695, ( -1), ( -1), ( -1), ( -1), 389956458, ( -1), 844352877, 661782097, ( -1), 221563429, 476993029, 261594900, ( -1), 463509579, 427797076, 418246567, ( -1), 355320526, ( -1), 403971837, ( -1), ( -1), 989668061, 858083129, 410112696, 316953053, 517309020, ( -1), 530119943, ( -1), 596570343, ( -1), ( -1), 500252405, 203550072, 993405802, ( -1), 405702977, 776788823, 867490489, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 842182617, 269920671, ( -1), 997625768, 452141335, 142034843, ( -1), 857027563, 514298967, 723361403, 777555774, ( -1), 312520708, 248713831, 982390783, 847643899, 623620580, 116512521, ( -1), ( -1), ( -1), 212855231, ( -1), ( -1), ( -1), 596993373, 699795380, ( -1), 368234123, ( -1), 634400198, 543324207, 482819565, ( -1), 134890606, ( -1), 786519322, 373641630, 735298117, 242210751, ( -1), 397403593, 489521981, 445528489, 199797811, 881907000, 731144599, 678951149, ( -1), 740420391, 409234635, 673304168, ( -1), 334894452, ( -1), ( -1), 617140042, ( -1), 150772916, 733780994, 699673791, 675143833, ( -1), 542400763, 532430900, 782679516, 81840830, ( -1), 76410263, 565051749, 867081225, 540661438, 311137553, 984933152, 272505810, 391512478, 213688381, ( -1), 232541632, 759130434, 885546771, ( -1), 576070307, 745979485, 756059275, 751974456, 451104657, ( -1), ( -1), ( -1), 431736730, ( -1), 748106116, 330996500, 295494612, 914198045, 562222399, 396352365, 287687278, 895717439, ( -1), ( -1), 416267953, 389848673, ( -1), ( -1), ( -1), ( -1), ( -1), 755094526, 487198761, 763212098, ( -1), 456628809, 599168034, ( -1), 256586626, 611379012, 34742882, 600740520, 387066009, 766461603, 224452915, 967960343, 339286143, 206926889, 758859152, 737835920, ( -1), ( -1), ( -1), ( -1), 6338731, ( -1), 548595087, 176721103, 364887978, 795928880, 570540924, 885952701, 344347717, 597513337, ( -1), 477941003, 835275931, ( -1), 654341849, 35438321, 453430072, 545592171, 387187157, ( -1), 156459625, 638271577, 979249714, 942084398, 692080402, ( -1), ( -1), 794646860, ( -1), 608135080, 341193518, ( -1), 531701375, 290610092, ( -1), ( -1), 695251628, 347857035, ( -1), ( -1), 368985982, ( -1), 519451842, 678107611, 176876842, 94188633, ( -1), 999333234, 58174847, 677745220, ( -1), 431290121, 366224685, 229030337, ( -1), 315326830, ( -1), 576052823, ( -1), 537117692, ( -1), 53762447, 744974759, ( -1), 352356370, 276326353, 981799563, 453165502, ( -1), 152067812, 775881578, ( -1), ( -1), 823970437, 38562661, ( -1), ( -1), 32629757, 176051426, 407188849, 722652339, ( -1), 165840038, 91795352, ( -1), ( -1), 363239777, ( -1), ( -1), 188884068, 773817173, ( -1), 624813050, 390258972, ( -1), 842605719, 887855307, 109092585, 875046515, 781843350, 994586430, 589735313, 512598762, 894712415, 558451102, 45211858, 198402, 169487965, 593267357, ( -1), 996435328, ( -1), ( -1), 340453514, 760050196, ( -1), ( -1), ( -1), 201231946, 808051964, 372764800, 205912735, ( -1), ( -1), 534483692, 226495768, 999513915, ( -1), 82144683, 375994365, 202128714, 928828875, 63016369, 698903434, ( -1), 984850069, ( -1), ( -1), 942486165, 31509144, 730515183, ( -1), 730786833, 436861253, ( -1), ( -1), 562077236, 530719672, 478675402, ( -1), ( -1), 448310409, ( -1), ( -1), ( -1), 490184902, 796294522, 185183516, ( -1), ( -1), 396462177, 676608440, 665832211, ( -1), ( -1), 361076033, ( -1), 662336980, 525295326, 599979732, 510528802, 804820061, ( -1), 905535405, 430521183, 187901921, 805067377, ( -1), ( -1), ( -1), ( -1), 421245992, 629857673, ( -1), 295727520, 81090080, 319181630, 703513271, 214326185, 531052770, 956058320, 693697091, 13503107, ( -1), ( -1), 40555541, ( -1), 853281963, 139092905, 890829294, ( -1), 646650810, 147419965, 900522160, 367651337, 116130614, 757452160, ( -1), 194396820, 160306037, ( -1), 804426582, 326187943, ( -1), 174668788, 939738915, 730525930, 386219195, 738658632, 515321021, 951025138, ( -1), 737603301, 495970698, 44593315, ( -1), ( -1), 618740004, 511453095, 515837063, 640793882, 418466112, 377802593, 729175120, 654442475, 965911598, 876528616, ( -1), ( -1), 792945378, 842348669, ( -1), 863175003, ( -1), 544563364, 39576787, 641480525, ( -1), 324062719, ( -1), 792391327, ( -1), 788919776, 309023229, 12862415, 475474512, 441960554, 651106371, 861794580, 590604795, 457777035, 998990059, 735566661, ( -1), 424918079, 904181529, 930733139, ( -1), 601432964, 655501117, 839342242, 911997193, 508361451, ( -1), ( -1), 437959019, 521805432, 334766348, 479724557, 355079219, 712652450, 209818567, 2038110, 927075611, ( -1), 598970943, ( -1), ( -1), 841762814, 948064721, 648433619, 577257128, 535650856, 94803579, 711105002, ( -1), 197591640, ( -1), ( -1), ( -1), 38446715, 533521953, 290238364, 401064548, 417112665, ( -1), 683535918, ( -1), 127158681, ( -1), 351393753, 281207615, 165302449, 686742170, ( -1), 414605451, ( -1), 991276879, ( -1), 561053301, 488812248, ( -1), 946851252, 639555800, 959630080, 645862340, 932211611, 804456665, 316627366, 244154899, 335892272, ( -1), 101554373, ( -1), 199502301, 790274562, 79788135, 501446361, 342692087, 152837676, 436106395, ( -1), 289070176, ( -1), ( -1), 289891506, 201354049, ( -1), ( -1), 654964281, 744822546, 795612321, 834645636, 192706537, ( -1), 312960320, 538951299, 146121005, 760903034, 129746169, ( -1), 116821579, 50857060, 76261142, ( -1), 569317297, 783871613, 823927234, 427911993, 255530734, 4368165, ( -1), 198134383, 634019323, 208458893, 556895912, 395967078, ( -1), 195197766, 236607295, 183194191, ( -1), 518801121, 692532935, 301938941, ( -1), ( -1), ( -1), 315681367, 104647044, ( -1), 249771057, 383429849, 645079995, 900111680, 981671911, 319702035, ( -1), 254020652, 328600402, 538833750, 692371610, ( -1), ( -1), 215326623, 632078761, 907954254, ( -1), 72031068, ( -1), 115340886, 484544970, 382742309, 694259393, 88658614, 400044863, 813767698, 917655277, 922987164, ( -1), 144731519, 633079288, 892962713, 759805453, 300759167, ( -1), 321415091, ( -1), 400341839, ( -1), 46847071, 8496661, 84240738, 826539235, 239370505, 101748413, 9590983, 70125038, 579144537, ( -1), 693907781, 274360608, ( -1), 142566711, 337961404, 846089836, ( -1), ( -1), 35291018, ( -1), ( -1), ( -1), ( -1), 356561968, 398887334, 121769777, ( -1), ( -1), 828674047, ( -1), 104630761, ( -1), 960391318, ( -1), 489023456, 711085735, 491734619, ( -1), 964912535, 283356877, ( -1), ( -1), 566682696, 875995280, 258139089, 472158788, 249588325, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 241104238, 732347569, ( -1), ( -1), 165344225, ( -1), 674012205, ( -1), 964611922, 436729593, ( -1), 183985873, ( -1), 290668204, 681124360, 866741989, ( -1), 559043916, ( -1), 464434963, ( -1), ( -1), 466000556, ( -1), ( -1), 40527417, ( -1), ( -1), 422810128, 689618691, ( -1), 747758229, ( -1), 913649949, 512983184, 795371693, 843618054, 106341746, 542602098, ( -1), 812226312, ( -1), 259342994, 297591370, 731271106, 733743243, 23644, 147854921, ( -1), 532675736, 655680300, ( -1), 954774072, 635825047, 700465070, 960875215, 346435245, ( -1), 876154032, ( -1), 936865745, 386646804, ( -1), 648841474, 528203386, 888046148, 984045299, ( -1), ( -1), ( -1), 411419415, 221428250, 820228624, 370452754, 59323456, 750464447, ( -1), ( -1), 883622778, 497915679, ( -1), 385821743, 480543743, 747225273, 892842709, 676163208, ( -1), 866582815, 118061950, ( -1), ( -1), 137553114, 582537845, ( -1), 839209487, ( -1), 729874104, 637452144, 348628874, 893367900, ( -1), ( -1), 378755612, 980556232, 376784093, 610259164, 561998128, 245021692, 453249376, 203867451, 286868592, ( -1), 691093983, ( -1), 850396248, 773008200, 842347750, 955616667, 288248678, ( -1), 139782188, 527921012, 427512540, 926191224, 730876481, ( -1), 772071609, ( -1), ( -1), 238923093, 605677027, ( -1), ( -1), 311193014, 862986886, 503432326, 901861293, ( -1), 711837824, 514782490, ( -1), ( -1), 750741649, ( -1), ( -1), 485491663, 315855565, ( -1), 879669800, ( -1), 526256227, ( -1), ( -1), 807482057, 876626013, 321167902, 274836740, 625498000, ( -1), 24346081, 47091417, ( -1), 327156775, 233957030, 439301085, 267785003, 987698883, 60783581, 331287948, 314294438, 391359533, 602052723, 22915329, 152066638, 806024885, 465784883, ( -1), 83143368, 98775956, ( -1), 239651577, ( -1), ( -1), 65645516, 724210027, 942630774, ( -1), 867809895, 135073539, ( -1), 470191677, 325506791, 865325498, 547442936, 334568625, 73187132, 194191173, 757540735, 88096854, 617124338, ( -1), 360609393, 793419955, ( -1), 179501080, 522147245, 40495712, 774874779, 871096704, 815543626, ( -1), 43859039, ( -1), ( -1), 401192297, 394035035, 904420947, 54040335, 125647376, ( -1), 534912417, 44166511, ( -1), ( -1), ( -1), 306817764, 242313087, ( -1), 599179085, 656623792, 728446803, 94512636, 897453758, 950350140, 371005024, 907742899, 953654051, ( -1), 892162083, 388088527, ( -1), ( -1), 822334122, 40672378, ( -1), 387993028, 847857595, 634669033, 581178355, ( -1), 673947961, 560935999, ( -1), 598190187, 924291682, 295524853, 907837110, 682730500, 360479513, 867702946, 310774108, ( -1), ( -1), 169785339, 889897632, 21796555, 183758205, 399580419, 140272208, 336123970, 482533540, 505075061, 321061926, 465926815, 591561419, 867561846, 374326611, 863802290, 741253010, ( -1), 677435521, 242159213, ( -1), 185672837, 433094046, 805120592, 465414141, 972538746, ( -1), 341152800, 310259077, ( -1), 589116192, 628302494, ( -1), 361986943, 707756552, 900876547, ( -1), ( -1), 433773799, 347654248, 86572350, 803628335, ( -1), ( -1), ( -1), 640637285, 85434015, ( -1), 84789746, 363823760, 593180844, ( -1), ( -1), ( -1), 804466907, 452999091, 630902482, 796405190, 52228223, ( -1), 795983580, ( -1), 440812459, 323556947, ( -1), 634393089, 552080506, 276941958, ( -1), 949812538, 731894889, ( -1), 273570227, 100966023, 586873409, 108069572, ( -1), 252859067, ( -1), ( -1), ( -1), ( -1), ( -1), 612826394, ( -1), ( -1), 819358518, 836674935, 729036542, ( -1), 566379235, 257061889, ( -1), ( -1), ( -1), ( -1), 768038216, 374451238, 5412661, 426415419, 986799075, 557917709, 35917056, 376159333, ( -1), 832421023, 339579265, 580656315, 61273053, 725885070, 923228227, ( -1), 522866236, 666036930, 790430551, 456676505, 956048336, 654702662, 10760205, ( -1), 450367979, 561378234, 975167654, ( -1), 35558410, 769957440, 111310408, ( -1), ( -1), 790985304, 395268292, 528752744, 802102327, 238013043, 118041757, 46859001, ( -1), ( -1), 103919913, ( -1), 785385811, 832885357, 623291495, 506941425, 773240751, 56208269, 558953694, 837711115, ( -1), 430618236, 61622489, 764068945, 394297184, 362933170, ( -1), 863640605, 116004914, 227792075, ( -1), 617659155, 358406602, 939065520, ( -1), 801978023, 934691354, ( -1), 722360366, ( -1), 278485237, 337710834, ( -1), 684249050, 715981454, ( -1), ( -1), 211915887, 450847219, ( -1), 476426749, 581666333, ( -1), 254592114, ( -1), ( -1), ( -1), 269459015, 338834685, 144394212, 89908876, ( -1), 879984733, 611485208, ( -1), 503948422, 579501485, 488341873, ( -1), 372201831, 479178165, ( -1), 394621148, 138492833, 180628165, 252664367, 53895041, 904543268, 480353743, 802019405, ( -1), 438167343, 809179939, ( -1), 355281426, ( -1), 942092816, 323891852, 411724067, ( -1), 936924030, 421508414, ( -1), 25066265, 876594120, ( -1), 491477387, ( -1), 484836237, 707582384, 882928388, 943594344, 71594764, 196930962, ( -1), ( -1), 797499019, 354684130, 702120790, ( -1), 713813154, 349724875, 802006196, ( -1), 600525520, 919517667, ( -1), 892038201, 110943731, 488053899, 527860024, 174802600, 998751650, 577379267, 564546460, 790184915, 973152922, 111361789, 457162107, 849588000, ( -1), ( -1), 198024753, 695446693, ( -1), 436544697, 217062895, 850196644, ( -1), 411562131, 867525598, ( -1), 968010425, 473550290, 248945327, 77550544, ( -1), ( -1), ( -1), ( -1), 949685558, 660148441, 356073312, 539369282, 919126940, 303338724, 767801347, 248197302, ( -1), ( -1), 386459432, 623404729, 248410815, 614440746, 158794840, 136702498, 357613133, 666583253, 573962316, 649087468, 737969019, 699215934, 935417797, ( -1), 497385157, 193117939, 764825700, 900507868, 128961997, 740367924, 109586903, 518099849, 490704849, 66981658, ( -1), 136025411, 621374799, ( -1), 974545198, 232276512, ( -1), 209184200, 913300371, ( -1), ( -1), 244691950, 910393497, 465309921, 539832490, ( -1), 410644396, 563913996, 840464301, 526160871, 724520842, 203475852, ( -1), 439292414, ( -1), ( -1), 225825452, ( -1), 254402801, 855424152, 148992176, 636265409, ( -1), ( -1), 184237181, 212350562, 457495841, 897400777, 213434932, 942533515, ( -1), 405512338, ( -1), ( -1), 471301701, 288916985, 21970625, 234929281, 568646247, ( -1), ( -1), 177427414, 276624301, 55042815, 21071839, 327087841, 728522113, ( -1), 422356488, 200089221, 708621631, 504348064, 997743462, ( -1), 678441548, 941966895, 607764212, ( -1), ( -1), 264207547, 909490502, 596607958, 732182625, 145378187, 332726571, ( -1), 858691515, 789408586, 49069863, 228448087, 222692325, 28080285, ( -1), 977824190, ( -1), 37857361, 131507007, 422775311, 347795059, 879007354, 979922502, ( -1), 426570437, ( -1), 820704067, 266852532, 417188113, 826216339, 622664257, 709190492, ( -1), 858678181, 624743, ( -1), 666878167, ( -1), ( -1), 135360660, ( -1), 256895764, 575572390, 898591713, 15640964, 838314826, 300777570, ( -1), ( -1), 918316267, 53092608, 320582287, 894835756, 781542235, 196280471, 785411896, 858396806, ( -1), 62665774, 68028329, 531240389, 168824306, 198649819, 904242045, ( -1), ( -1), 932029818, ( -1), 77506490, ( -1), 482179827, 398027207, ( -1), 15898903, 803611727, 6707979, 823260811, 961110820, ( -1), ( -1), 575702579, 402804708, 89850193, ( -1), 473500491, 165795773, 57123637, 544790796, 516747618, 275754132, 964968636, 904818146, ( -1), 162108436, 393579104, 93173585, 448460309, 476558179, ( -1), 589762990, 949564725, 629779673, ( -1), ( -1), ( -1), ( -1), ( -1), 479850478, 913012655, 526849737, ( -1), 203029445, 333519825, 304264843, ( -1), 281798480, 646911544, 10556789, ( -1), ( -1), ( -1), ( -1), ( -1), 643052305, ( -1), ( -1), 729396402, ( -1), 854589925, 56313062, 422025502, 288436712, 880079414, 342227016, ( -1), 177871898, 49399435, 180481570, 376725831, 648049261, 77380674, 106800273, 271646180, 985787423, 97817590, ( -1), 542000069, ( -1), 242542345, 172320753, 693387989, 791780606, ( -1), 218059580, 520532450, ( -1), 291219204, 347628132, 628751842, 388516311, 401952770, ( -1), 285585878, 481253583, 140923131, 117836312, 838097729, ( -1), 307908042, 778055878, ( -1), 84241136, 898540903, 939114548, ( -1), 156282142, 393345884, 957267704, 17616680, 414545750, 774777813, 26539175, 603254809, ( -1), ( -1), 687897371, 81370075, 326826837, 614433001, 963913615, ( -1), 116586098, ( -1), 750852010, 632184016, ( -1), 859495276, 925865214, 319687811, 392622212, 139270706, 738948256, ( -1), ( -1), 351202233, ( -1), ( -1), 940403211, 640895043, ( -1), 235377839, 591907056, 605898297, 293465623, ( -1), 194037004, 725199082, ( -1), 518867690, 961490949, 863648188, 70621323, 832689479, ( -1), 445865595, ( -1), 329704873, ( -1), ( -1), 899931153, 312033563, ( -1), 515673561, ( -1), 425772739, 9563455, 912872751, 543446051, 983605466, 835844190, ( -1), 749705880, 627571102, 480159482, 100112904, 263836513, 751987279, ( -1), 879726184, 133681604, 186440680, ( -1), 12685404, 514496004, ( -1), 635076459, 425456313, 345189859, 289496039, 188149341, ( -1), ( -1), ( -1), 149642891, 137011426, 880161593, 911509834, 682810318, ( -1), 757653921, 654636101, ( -1), 67577618, ( -1), ( -1), 780803491, 66896719, 977035320, 297203493, ( -1), ( -1), 754942276, 456764433, 48620275, 230623603, 700937482, 163397159, 914964665, 331046891, 569692341, 951700757, 951615793, 63081212, 999287452, 88738698, ( -1), 634337174, 278344138, ( -1), 107147525, 49198032, ( -1), 33038476, ( -1), 654524986, ( -1), 816594919, 52287600, ( -1), ( -1), 838000451, ( -1), 935002093, ( -1), ( -1), 898809998, 924061597, 777874493, ( -1), 254006570, 514719448, 441115501, 500723765, 725602720, 705176788, 971667768, ( -1), 599339987, 439463899, ( -1), 731787661, 671364119, 204318700, ( -1), 142419372, 483293125, 268604242, 433487506, 68586068, ( -1), ( -1), ( -1), 699081664, 76126192, ( -1), 712247831, 301963888, ( -1), 908029478, 871092605, 681154450, 709326554, 20784561, 425988879, ( -1), 559768194, 120332156, 122667161, 762796231, ( -1), 88764895, 453331122, 264753214, ( -1), ( -1), 420802632, 382661732, 533048103, 581915572, 101849424, ( -1), ( -1), ( -1), 591194409, 396747862, 967239859, 406567019, 112220200, 81774626, ( -1), ( -1), ( -1), ( -1), 726873888, 849298467, 150212394, 291809095, 621511471, ( -1), 338359929, ( -1), 758660873, 604867294, ( -1), 117082588, 212442073, ( -1), ( -1), ( -1), 197669126, 473659577, 53135920, ( -1), 546538416, ( -1), 587563014, 246059382, ( -1), 849558697, 271391193, 133625887, 166139849, 425566602, 216520392, ( -1), 935205328, ( -1), 816686218, 371503458, 154529316, 434393487, 584354844, 946089934, 341446998, 125127936, 130404230, 57647311, ( -1), 963280496, 375942489, 388548657, 776010600, 500134727, 918358743, 882586494, ( -1), 423013403, 888561988, ( -1), 358800763, 891710157, ( -1), 164113352, 857746475, 223242469, 465861622, 181144237, 400460923, 295242709, 939791983, 523404437, ( -1), 590596098, ( -1), 185486218, 387888317, 727461389, 507736321, ( -1), 475191634, ( -1), 117188980, 395361163, 639247097, 83233642, 314126482, 716265630, ( -1), 929843813, ( -1), 362303357, ( -1), 770756519, 831287469, 255003009, 624458598, ( -1), 655848818, 843715350, 480288741, 203687952, 899702065, ( -1), ( -1), 296331882, ( -1), 517931908, 26859484, ( -1), ( -1), 140970359, ( -1), 556077441, 247884078, 249817642, 768419399, 829431130, ( -1), 763840959, 840057161, 723674519, ( -1), 475280393, 129657196, ( -1), ( -1), ( -1), 894523276, ( -1), 279772948, ( -1), 206246149, ( -1), ( -1), 275969567, 553958906, ( -1), 844415163, 485683637, 820124098, 384656204, 283718850, 450471770, ( -1), 221655848, 12344972, 416851483, 481649799, ( -1), 783957687, 619871772, 984108332, 806259284, 780839409, ( -1), ( -1), ( -1), 88614493, 626568852, ( -1), 410451190, 424229403, ( -1), ( -1), 654541706, 728169352, 799623597, 627558080, 121403242, ( -1), 673179705, 850168341, 622295265, 876298902, 357948951, 932607186, ( -1), 977525305, 961377965, 482155801, ( -1), 811171696, ( -1), 7889341, 209652825, ( -1), 514135968, ( -1), 914448871, 886777544, 83501411, 433039151, 355747042, ( -1), 303950664, ( -1), 96310778, 341055013, 55760501, 920173577, ( -1), 220500863, 674307770, ( -1), 709352341, ( -1), 639281269, 448459812, 638052983, 473063797, 401506580, 936518732, 938767473, 535648585, 308491152, ( -1), ( -1), 835882573, 575057243, 627014378, 171450584, 222552392, 830654350, 575895118, 977521131, ( -1), ( -1), 640397444, 776252520, 631507127, ( -1), 527568361, 408485406, 659488188, 867805127, ( -1), ( -1), 476134528, 567549091, 836347038, 134141955, ( -1), ( -1), 663002601, 289579928, ( -1), ( -1), ( -1), 421652344, ( -1), ( -1), 384173386, 612673126, 469942514, ( -1), ( -1), 307971700, 310768680, ( -1), 191871849, ( -1), 119351425, 236984327, 505307739, ( -1), ( -1), 287326470, 764373851, 468257315, 267356844, 672014336, 494398323, ( -1), 91832733, 49606272, ( -1), ( -1), ( -1), 282222611, 993076652, ( -1), 649403512, 201352483, 234048983, 499111866, 764673019, ( -1), ( -1), ( -1), 319470055, 260955164, 253076644, 460158753, 441306119, ( -1), ( -1), ( -1), 714855029, 688014464, 339247719, ( -1), ( -1), 389143342, 78164552, 768471865, 503184397, 276109706, 369624182, 862441102, 50837840, 976570330, ( -1), 773468773, 679440816, ( -1), 771615689, 843000770, 652142452, 701580313, 699665435, 498758790, ( -1), 479029043, ( -1), 143781211, 116827800, 133128197, ( -1), 781037971, 245047739, 742905781, 966570090, ( -1), 171279463, 908208262, 866027220, 742988042, 98993584, 905177613, 225637656, 846044931, ( -1), 814101352, ( -1), 612499976, ( -1), 243632588, ( -1), 155125932, ( -1), ( -1), ( -1), 247056350, 581445508, 379022127, ( -1), ( -1), 719889860, 41065546, 909052787, 693034491, 819771782, ( -1), 179484409, 521190060, 523655708, ( -1), 575528140, 991183030, 289515191, 949353557, 424480233, 465859331, ( -1), 459199229, ( -1), 643166916, 738037557, 733171714, 223908262, 44209782, 914969608, 518843494, 901661736, ( -1), 903210697, 478742673, ( -1), 765327218, 663928684, 239052615, 10306791, 362042531, 66893036, ( -1), ( -1), 910154418, 321443166, 301039139, 702777182, 857217623, ( -1), 392125900, ( -1), ( -1), 650456342, 30276411, 883777547, ( -1), ( -1), 495443028, 314281890, 735165995, 811936419, ( -1), 553248955, 975144461, ( -1), 249510215, ( -1), 241726745, ( -1), ( -1), 847403075, ( -1), 887287603, 728611895, 661459087, 711193455, 869879359, 828429281, ( -1), 185475314, 539421654, 173276362, ( -1), 133413790, 819553952, 779420186, 714334664, 379755819, ( -1), ( -1), ( -1), 86235566, 478601525, ( -1), ( -1), 17352346, 915531144, ( -1), ( -1), 832434033, 781344060, ( -1), 144333908, ( -1), ( -1), 869240696, ( -1), ( -1), 545885242, ( -1), 307843445, 801344770, ( -1), 231465799, ( -1), 251082174, ( -1), 694066511, 871619556, 396783213, 301632421, 296419690, 843462608, ( -1), 137284311, 24269781, 946150774, 641436695, 904777782, 850479355, 257929908, 989501192, 213299805, 604661723, 646163511, 608941577, 509548724, ( -1), ( -1), 605705073, 470821467, 656347781, ( -1), 567342088, 217078574, 232433011, ( -1), ( -1), 224051717, ( -1), ( -1), 86439402, 656897930, 131789026, ( -1), 705341978, ( -1), 361074251, 396772574, 747620405, 953641567, 814204905, ( -1), 245013355, 699968085, 908004129, 269118487, ( -1), 694133036, 313670615, 685452232, ( -1), ( -1), ( -1), ( -1), 648246590, ( -1), 739138001, 112845293, ( -1), ( -1), ( -1), 697237907, 674456611, 231812777, 477741696, ( -1), 308298927, 132620568, ( -1), 663279205, ( -1), 986496790, ( -1), 369831584, 79452801, 509906505, ( -1), 670703999, 481668901, 537977153, 734037755, 387418656, 956738921, 500262859, 193705753, ( -1), 168898728, 201366806, 494778761, 793362863, 621146798, 444108168, ( -1), 608202711, 294365537, 518576606, 200781991, 347834707, ( -1), 444383586, 540898251, 39265802, 199253002, ( -1), 505559012, 854649933, 740920491, ( -1), 633270145, ( -1), 337083120, ( -1), ( -1), 903916214, ( -1), 715119746, 333461513, 661085239, 939524019, 129748914, 308554178, 939522344, 934863619, 750926560, 766195280, 98630306, ( -1), ( -1), 165591683, 421375438, 925462241, 578717906, ( -1), 36453791, 178034098, 28957510, 89315042, 934951612, 465950411, ( -1), ( -1), 280156685, 358369513, 148930651, 809566431, 822088382, 385174649, 101428737, 419060528, 911312347, 513679290, ( -1), 858938338, ( -1), 537196179, 650671385, 765674959, 394944803, ( -1), 211033218, 312984571, 396472216, ( -1), 734871118, ( -1), 981872271, 942844868, ( -1), ( -1), 578748165, ( -1), ( -1), ( -1), 12461406, 552413639, ( -1), ( -1), 339035368, 26128626, ( -1), 449336101, 452743061, 693517094, 226286977, 808197758, 456860375, 554001297, 694560423, 116554008, ( -1), 670951773, ( -1), 487153969, 98568561, 770746372, 219462231, ( -1), 677598755, 13576787, ( -1), 129271555, 792459238, 785513578, 898418014, 811323633, 831322484, 360925999, 148943151, 665624978, 289170900, 837384369, 815079378, 637577901, 825394818, ( -1), ( -1), 409941681, 698016861, 262578762, ( -1), 169520659, 940663813, 663969470, 632720294, ( -1), 33550343, 985922134, 971418239, ( -1), ( -1), 547494932, ( -1), 989243716, 940143726, 766179200, 614782883, 791967750, 782476721, ( -1), 219361320, 999535128, 273602302, 570854076, 949152912, 67680304, 259245561, 804612023, ( -1), 29909587, ( -1), 417424492, 418581425, ( -1), ( -1), 351256484, 168671302, 756366145, 120219566, 553963847, 623523437, 116438010, 235572390, ( -1), 865786483, 147747882, ( -1), 868251115, ( -1), 588109438, 608536097, 340941404, 789958368, 310794036, 786348261, 198774675, 890153609, 405418792, 891414454, 84979597, 136097823, ( -1), 592344825, 696784456, ( -1), ( -1), 734155188, 755510816, 665177460, 862332252, ( -1), ( -1), ( -1), 194246700, 767650210, 356570349, 584811325, 514150152, 441496082, ( -1), 675753693, 535729822, 640409916, 587641974, 448451528, ( -1), 374994788, 184468834, 301107786, 539226550, 413988168, ( -1), 179269065, 817500312, ( -1), 480776828, 715217689, 188871980, ( -1), ( -1), 727439151, 172126659, 830023987, 867900452, ( -1), 746746484, ( -1), ( -1), 943716468, 550226812, 488154696, 323679226, ( -1), 612490129, 635603690, 129884821, 934527711, 994654675, 966748644, 965851641, 601185357, 979874152, 266438336, 260952112, 170809138, ( -1), 946943702, ( -1), 409830176, ( -1), ( -1), 863425100, 589382790, 93952089, 414479099, ( -1), 902498520, ( -1), 400871859, 292896779, ( -1), 51703190, ( -1), 962223489, 497987704, 141196192, 6241655, 817072364, 142877378, 756324410, 810399536, ( -1), 968676178, 546527781, ( -1), 182442061, 304789812, 432194434, 2394529, 978228294, 979385179, ( -1), ( -1), 122174315, 90534318, 82087327, ( -1), 618654652, 350641550, 706609635, 574738722, 675025109, 205723387, ( -1), 316731514, 556417869, 490481907, 693330020, 906553334, 336621256, ( -1), 661421333, 585197305, ( -1), ( -1), 871991695, 880488060, ( -1), 395938164, 57963520, 504375213, 81549658, ( -1), 514861925, ( -1), ( -1), ( -1), ( -1), 5365760, 643991966, ( -1), ( -1), 26452212, ( -1), ( -1), 745259155, 187207826, 299526451, ( -1), 305690617, 338850571, 559062177, ( -1), 211911895, ( -1), ( -1), 465082003, ( -1), 99944615, 754952756, 478073214, 603017865, 461747316, 500319066, 320433196, 607062856, 286730880, 750162456, 307119723, 899652590, 155377894, 746025336, 890376033, 208734512, 951688166, 423372254, 233097967, 32700543, ( -1), 879422177, 911415408, ( -1), 261638768, 724865037, ( -1), ( -1), ( -1), 105939843, ( -1), 798562185, ( -1), ( -1), 92136924, 376561799, ( -1), 953110046, 118176665, ( -1), 431588863, 281338122, 158373073, 815876656, 152568387, ( -1), 200806471, 218450035, 888643062, 132240136, 683761963, 551073522, 93560110, ( -1), 355182347, ( -1), 3896084, 253578585, 252494775, 977613308, 808049145, 989492935, ( -1), 325972748, 490927456, 8713748, 355503901, ( -1), ( -1), 266618092, 273932783, ( -1), 197577118, 610572708, 944620767, 963098658, ( -1), 976522421, 444970568, ( -1), ( -1), 550557586, 365139751, 756433899, 707095938, ( -1), 603074611, ( -1), 186911580, ( -1), 403869482, 742437495, 733547210, ( -1), 617598814, 478985934, 581429014, ( -1), ( -1), 698635304, 133298877, 320571389, 974768664, 438100127, 912896881, 791428730, 885972370, ( -1), ( -1), 525777078, ( -1), 704489022, 10131480, 779625130, 308641450, 643268896, ( -1), 501921363, 746560034, ( -1), 682390133, 656407214, 660289090, 584318354, 143611829, ( -1), 122122236, ( -1), 10769827, 834554650, 108345914, ( -1), 817477308, 604104886, 863196802, ( -1), 141452282, 457006445, 778901275, 390286608, ( -1), 905526175, 260866077, ( -1), ( -1), 442178643, ( -1), 912468650, ( -1), 789016176, ( -1), ( -1), 307374782, 879515128, ( -1), 963657992, 189735129, 429440536, ( -1), 231575465, 626054003, ( -1), 949165813, 433758075, 930092055, 761299363, ( -1), 344754920, 706785783, ( -1), 236364055, 551640674, 563826427, 605460924, 151970460, 739175697, 626732546, ( -1), 298093947, 912709137, ( -1), 118102598, 844108231, ( -1), 269472612, 264677211, 116528731, 140913892, 422796102, 713861367, 700278341, 797596701, ( -1), ( -1), ( -1), ( -1), 137058068, 226984268, 437910711, 667273890, 254268659, 710036154, 453001050, 214041251, 292686882, ( -1), 388123158, 724991502, 89741072, 615683359, 276672262, 316521271, 648282553, 418705426, 716833945, 854365813, ( -1), 973323524, ( -1), 150874736, 834889274, ( -1), 900503324, 262552273, 219906933, 69198808, ( -1), 328368973, ( -1), 176325745, ( -1), 649935778, 525812851, ( -1), ( -1), 341704506, ( -1), 261666250, 889838595, ( -1), 731927059, 968728724, ( -1), 631645603, ( -1), ( -1), ( -1), 154835717, 143127238, 954264302, 634942306, ( -1), 235876935, ( -1), ( -1), 272303370, 147180552, ( -1), 65081453, 78692084, 328242100, 338274279, 251323661, ( -1), 498763821, 430584584, ( -1), ( -1), 82551685, ( -1), 255431394, ( -1), 877690677, ( -1), ( -1), 230152907, 185757747, 503328218, 759808430, 962011849, 969736013, 559615653, ( -1), 691533189, 718682861, 472344600, ( -1), ( -1), 62432967, ( -1), 782597735, 686822286, 874381561, 363639483, 898634892, ( -1), 967267534, ( -1), 444275792, 160103635, 618530878, 163005421, ( -1), 992411336, 731459233, ( -1), ( -1), ( -1), 226487245, 233748537, 180882465, 182664922, 663533536, 689100175, ( -1), ( -1), 751617207, 911062229, 86727084, 774763075, ( -1), ( -1), 213684287, 482293317, 581791387, 713828944, 409982731, 250816711, ( -1), 736421650, ( -1), 907616183, 861689435, ( -1), 9190587, ( -1), ( -1), ( -1), 402160858, ( -1), ( -1), 812068850, 199365684, 494177403, 600584083, ( -1), 825934595, 600395559, 658293517, 844488419, 833611495, 902144810, 260192980, 727797161, 82707339, ( -1), 848271912, 67804780, ( -1), 821960476, 204698489, 130898789, 399660450, 550428406, 229317835, ( -1), ( -1), 129851346, 29938517, 855086071, 405951632, ( -1), 887967595, ( -1), 531036034, 803773034, 635330676, 263442433, ( -1), 38702964, 269218547, ( -1), 662830048, 2447991, 944459724, 670510762, 171619844, ( -1), 776402952, 667348485, 573679498, 747022008, 258288469, 678671709, 62582903, 60246533, 221276174, 456761918, ( -1), ( -1), 566958029, ( -1), ( -1), ( -1), 795419459, ( -1), ( -1), 647754347, ( -1), 727385175, 831602995, 177060254, 908776535, 85459828, 767216417, 501594188, ( -1), 562484570, 217103744, 298009216, 119556788, ( -1), 702147945, 903261700, 870272961, 87184023, 176812206, 542624942, 173663131, 879067089, 888439205, 444982303, 720967576, 209668013, 613538463, 567136740, ( -1), 798996657, 356562084, ( -1), 581721032, ( -1), 874995813, 336210246, 552148696, 195630410, 248008757, 580030763, 564627851, 102243687, ( -1), 168663486, 592791095, ( -1), 754524660, 897495437, 915173528, ( -1), 841906980, 289022533, ( -1), ( -1), 325122728, ( -1), 39517759, ( -1), 509475143, 89902263, 946291191, 162485285, ( -1), 154648049, 718123576, 40851859, 222991205, 754797107, 814638920, 791836048, ( -1), 718529074, ( -1), ( -1), ( -1), ( -1), 671279786, 355333251, 234166888, 204451614, 975372961, 776508455, 750728789, 761834930, ( -1), 776223192, ( -1), 286775717, ( -1), ( -1), 218381756, 940540594, 918596740, 796923167, ( -1), 775507161, ( -1), 905516239, 695992720, 237761271, 138433910, 212890565, ( -1), 484136979, ( -1), ( -1), 126963294, 796703642, 403920499, 367105627, ( -1), 42220309, 863964574, 61007948, ( -1), 548558832, ( -1), 991207420, ( -1), 681408862, 588265477, ( -1), 40055666, 449116096, 393279420, 71147556, 860214558, 136458694, ( -1), 479507046, ( -1), ( -1), ( -1), 41763725, ( -1), ( -1), ( -1), 470555177, 270531288, 294037445, 775459491, ( -1), 167734122, 480078083, 343296007, 108742787, ( -1), 402686132, 159741837, 521487582, ( -1), 179053729, 447597991, ( -1), 408544370, 639140164, ( -1), ( -1), ( -1), 513069186, 561068481, ( -1), ( -1), 920939289, ( -1), 532999010, 259989012, 370610557, 149738729, 622910728, 863830111, ( -1), ( -1), 876707947, ( -1), 223215740, 838417199, 759936338, 990376914, ( -1), 457811870, ( -1), ( -1), 506544949, ( -1), 299462644, 119792544, 798110333, 243756691, 268043729, 865090075, 860558032, ( -1), ( -1), 699670776, 839876614, ( -1), 313506829, ( -1), 360211497, ( -1), 658819553, ( -1), 570832064, 471812512, 497467218, 630203516, 656909240, 973570500, ( -1), 616538289, 584896942, 842627836, 294425661, 698597453, 937595747, 949965959, 78455645, 323418984, 981847085, ( -1), 837060522, 697283998, ( -1), 72239774, ( -1), 532917207, 26959612, 79101557, 979198214, ( -1), ( -1), ( -1), 351311435, 789651370, 344061380, ( -1), ( -1), 864234604, 380413382, 312189452, 181993184, 84352344, ( -1), 561987965, 472004210, ( -1), 5021979, ( -1), 453859840, ( -1), 112847553, 994074927, 656379559, ( -1), ( -1), ( -1), 882418523, 928647561, 392133530, 53990290, ( -1), 712619449, 367085276, 72979478, 777209302, ( -1), 737812554, 900635721, 44339909, 98581110, 47881679, ( -1), 13217915, 726077559, ( -1), 896064143, 911282794, 96279474, 16634182, ( -1), 1415720, 501940803, ( -1), ( -1), 531336306, 830225318, ( -1), 406101420, 931503176, ( -1), 53583122, ( -1), 6114869, 493494088, 933179494, 705563462, ( -1), 33510086, 50335518, 747354755, 268082321, 42630970, ( -1), 174898741, 918819374, ( -1), ( -1), 562081770, 550102337, 800493323, 519223633, 861372649, 295699543, ( -1), 294636310, 310750262, ( -1), 66211296, ( -1), ( -1), 196010026, 465351273, 57789261, ( -1), 760975155, 751729857, 737453530, 241516465, ( -1), 865378941, 153615750, 909725158, 243763065, 435328777, 504106694, 472916116, 945230777, ( -1), 342009591, 820574994, ( -1), 283268564, 966775732, 348795152, 210708363, 246075671, 546318255, 649423569, ( -1), 862857891, ( -1), 214748795, 532226461, ( -1), 968735908, 579850387, ( -1), 758735689, ( -1), ( -1), ( -1), 126072148, 302186940, 760529697, ( -1), ( -1), 647169029, ( -1), ( -1), 495187680, 501757490, 384795785, 221593239, 454656695, 992229309, 269167619, 631713721, 705751960, ( -1), 710583798, ( -1), 860676054, 219701001, 690995723, 853700811, 531209733, 507202585, 335042972, 706223165, 295151039, ( -1), 844692295, 947411625, 527061441, 342960869, ( -1), 891907846, ( -1), 178778, 544977202, ( -1), 123695012, 384995359, 950172061, ( -1), 706919758, ( -1), ( -1), ( -1), 738555229, 105341124, 436256789, 539680751, ( -1), 854278365, 981051687, ( -1), 44755661, 160022542, 298350926, ( -1), 170734305, 295653284, 280183675, 687978892, ( -1), ( -1), 360770830, 269632956, 776547827, ( -1), 511591289, 41937988, 224094024, 385061053, 47039958, 541289668, 914366612, 723862001, 801280172, 307765510, ( -1), ( -1), ( -1), ( -1), 254508712, ( -1), ( -1), 576455008, ( -1), 140855770, 756956847, 910743440, ( -1), 196261591, 779205792, ( -1), 417196559, 710284626, 852186792, 826589408, ( -1), ( -1), 999573122, ( -1), 633912736, 966970545, ( -1), ( -1), ( -1), ( -1), ( -1), 493333924, 788784607, 185020953, 989546315, 649394193, ( -1), ( -1), ( -1), ( -1), 333849370, 40018691, 522315937, ( -1), ( -1), 760771472, ( -1), ( -1), 139381045, ( -1), 228860907, ( -1), 238592113, ( -1), ( -1), 551472859, ( -1), 538950504, ( -1), 635017184, ( -1), 768609143, ( -1), ( -1), ( -1), 327238218, 982051711, ( -1), 611996786, 77356381, 751927921, 358221965, 155286043, 901717238, 717312587, 193190462, ( -1), 198711439, 916923505, 6115603, 3930579, 702865929, 427471417, 540686474, 468195459, ( -1), ( -1), 369021604, ( -1), 695356823, ( -1), 89883352, ( -1), 229772890, ( -1), ( -1), ( -1), 653665677, 938757717, ( -1), 499313782, 466344611, 716251716, 799170595, 393195774, 676386777, 955061248, 672111858, 971434633, 197609987, ( -1), ( -1), ( -1), ( -1), ( -1), 959534509, 352612575, 340581182, 506736699, 682140839, 954739617, 313355427, ( -1), ( -1), 608838565, ( -1), 698035701, ( -1), 437997236, 613622226, 576530421, 249053328, 505488276, ( -1), ( -1), 266375279, 242280161, 228278318, 772541137, 402288794, ( -1), 428678350, ( -1), 266625409, 598461729, 8434143, 964406376, ( -1), ( -1), 355115240, 426937385, 25495510, ( -1), ( -1), 89289813, ( -1), 902663848, 768270153, ( -1), 359573780, ( -1), 571362064, 132999779, 872876914, 967296785, 271015404, ( -1), 44507376, 122979081, ( -1), 168517556, 95408400, 335478472, 665709592, 64568528, 432645270, ( -1), 693754021, ( -1), 220123508, 232127364, 780013729, 801827089, ( -1), 326713910, 53866406, 351793103, 984169299, 192708050, 218369148, ( -1), ( -1), ( -1), 490298017, ( -1), 909961570, 433318256, 715333795, 117674446, 759266763, 103164276, 572871404, ( -1), ( -1), 791761932, 664787007, 962759579, 676379808, 932729808, ( -1), ( -1), ( -1), 352560162, 664802875, ( -1), ( -1), 189513222, 75815587, 126262739, 589200389, 921744259, ( -1), ( -1), ( -1), 538445427, 175078032, 964827366, ( -1), ( -1), 611560287, ( -1), 315424503, 448346089, ( -1), 131896115, 34215663, 420336924, 506735320, 921804837, 949681039, 362863529, 291268402, 629226823, 490951853, 934195301, 217331596, 488652879, ( -1), ( -1), 511534507, 9550094, ( -1), ( -1), 207049485, 597374197, ( -1), 962547360, 378973907, 458856769, ( -1), 352669588, 158536090, 308196921, 23749714, 93879502, 77714460, ( -1), 524399202, ( -1), 234276152, ( -1), 55823784, ( -1), ( -1), ( -1), 606011069, 758454975, 822165114, 188622936, ( -1), 697626530, 582671849, 464964491, 123391134, 75371159, 423475999, 391083328, 539190293, 319120347, 735319125, 438940870, 687974763, 744861838, 700891501, 356352931, 966617588, 26109708, 914303612, 281393727, 181914018, 940836153, ( -1), 19366883, 746672756, ( -1), 497618009, 130500140, 400428995, 625057144, ( -1), 688079094, 559919535, 255754237, 397424213, 62414551, ( -1), ( -1), 620778270, ( -1), 958153262, ( -1), 169777103, ( -1), ( -1), 647875668, 238946860, 573418467, 929511995, 870586662, 219970641, ( -1), ( -1), ( -1), ( -1), 58536162, 818232969, 501509171, 949180274, ( -1), 129166508, 793013030, 539814792, ( -1), 737486073, 235129985, 971345510, 210214914, ( -1), 879077342, 701028036, ( -1), 912564012, 747086383, ( -1), 404168324, 572918641, 33828902, 895582311, 170763697, 127385307, 680795039, ( -1), 151834981, 71628272, ( -1), ( -1), ( -1), ( -1), 811802408, ( -1), 287625413, 615215028, 822262667, 942397741, 380156531, 378582596, ( -1), 72382100, 683294938, 805609867, 170541050, 905771294, ( -1), ( -1), ( -1), 159271118, 494918935, 392536397, 352790840, 655499393, 918858048, 893573398, ( -1), 448465371, 81361412, 879714445, 118756167, 428195891, 602188364, ( -1), ( -1), 303300102, ( -1), ( -1), 881247636, 26466679, 684440655, 63604415, 478932558, 629183348, 935065527, ( -1), 205261841, 659388983, ( -1), 895874642, 163347237, 618167213, 966570237, ( -1), 536676100, 881130726, 847040525, 665543593, 305159310, ( -1), ( -1), 620346924, 947155773, ( -1), ( -1), 905963745, 270977961, 588904335, 517898758, 685016661, 868227371, 532382456, ( -1), ( -1), 525808916, 455926976, 422061172, ( -1), 68297993, ( -1), 313516841, 557621053, 564635633, 952888890, 793004334, 791144353, 930562031, 357347499, 936148261, 455671317, 573168813, 104383978, 283776766, 838129341, 841012928, 399494496, ( -1), 783002798, 46680378, 960848709, 946518814, ( -1), 921176939, 627975961, ( -1), 70133462, 270298690, 558614323, 798682859, 5421942, 853197912, 953012593, 940239903, ( -1), 390914666, ( -1), 542700989, ( -1), 755944955, 639463093, 214879364, ( -1), ( -1), 852801106, 691942337, 624691999, 349399681, 808912473, ( -1), ( -1), 189138263, 368192778, 575628372, 444935311, ( -1), ( -1), 556176277, 777999217, ( -1), 912905406, 159496550, 725713815, ( -1), ( -1), ( -1), ( -1), 635391950, 70128150, ( -1), 845607335, ( -1), 862113437, 837230498, 434110837, 885878486, ( -1), 937483368, 964751063, ( -1), 367481529, ( -1), 734069264, ( -1), 551633204, 593596185, 225815611, 170175776, 936487608, ( -1), 60959824, ( -1), 41916609, 965920358, ( -1), 289212570, 81483847, 391325939, 130397865, ( -1), ( -1), ( -1), ( -1), 370607935, 777171625, 690506137, 122527307, 622670691, ( -1), 321929253, 628847928, 975329441, 219510289, 615593391, 49296670, 72166668, ( -1), ( -1), 43809371, 635124862, 132748539, ( -1), 583362565, 692725719, 915266629, 371524799, 95529478, 477758596, 159839069, 936567355, 40392502, 885887106, 408291470, 621356591, ( -1), 848023233, ( -1), ( -1), 784953033, 894758256, 323300067, ( -1), 461450831, ( -1), 212910178, 605474277, ( -1), 255155239, 649402231, 704275939, ( -1), 177616506, ( -1), ( -1), 792530595, 153482240, 925931694, 666406064, 332408059, 478724665, ( -1), 292915606, 258482491, 20378782, 565292476, 14875247, 829311099, 422337034, 362745798, ( -1), ( -1), 353958359, 36608956, 545503026, 675869711, ( -1), ( -1), 754236157, 71116182, 84430088, 365779312, ( -1), ( -1), 794636634, ( -1), ( -1), 872722585, 820962097, ( -1), 260801453, 751796124, 99719472, 340153478, 913829212, ( -1), 386577303, 39169700, 454977777, ( -1), 40324175, 833644772, 835708181, 688209006, ( -1), 490908652, ( -1), 415948610, 656089831, 228153483, ( -1), 157363238, 788908587, ( -1), 385321394, 438182319, 399448939, 428553720, ( -1), 303695234, 340539966, 88814377, 660966691, ( -1), 285017770, ( -1), ( -1), ( -1), ( -1), 59090553, 790503462, 337832949, ( -1), 672531022, ( -1), 311748514, 463007905, ( -1), 802968247, 293089837, ( -1), 445781509, 172984933, ( -1), 954155823, ( -1), ( -1), 901911909, 539452513, ( -1), ( -1), ( -1), 293170349, 805642436, 959133830, 443783255, 347092999, ( -1), ( -1), 690390264, 46344915, ( -1), 903425837, 725043652, 143579311, 703550129, 369796123, ( -1), 924687977, 871352691, 125750282, 663446187, 44977415, 412119310, ( -1), ( -1), 752358225, ( -1), 512128549, 31019556, ( -1), 695350114, ( -1), 331912225, 166521379, 140083924, ( -1), ( -1), 148151644, 570191366, 411939391, 501654447, 976171785, 932913743, 692322658, ( -1), ( -1), 484811847, 20580055, ( -1), ( -1), 455286414, 404022737, 744580696, 212980718, ( -1), 423322779, ( -1), 425056841, ( -1), 792891777, 710773105, 346034832, 560457973, ( -1), 860375972, 310220079, 577907311, 320173974, 828421852, 808998143, 904947413, ( -1), 279449237, 568276268, 970666914, 374254489, 95844357, 87662657, 490766444, ( -1), 260359014, 338267575, ( -1), ( -1), 544478310, ( -1), 401344618, 751190459, 919202212, 181492524, 711297872, ( -1), ( -1), 157978441, ( -1), 360543674, ( -1), 828269407, 104290139, 960056787, 706194311, 968943668, 891209845, 164425862, 618889082, 827701745, 593386602, 605266016, 68860790, ( -1), 56482860, ( -1), ( -1), 295510473, 782192547, 165922938, ( -1), 788502150, ( -1), 697104979, 115747276, ( -1), 385052760, 24052357, ( -1), 57972498, 641293014, 35192153, ( -1), ( -1), 510325057, ( -1), 578486296, 798623240, 979786591, 309548403, 356455092, 401733004, ( -1), 597716285, 396893435, 579820068, 166698607, ( -1), 478553296, 308070739, ( -1), 298333802, 524528378, 878840533, ( -1), 49027377, ( -1), ( -1), 522374927, 217174126, 695485529, 766085112, ( -1), 488328067, 736110913, 444384563, 771810178, 423504981, 477787542, 265267689, ( -1), ( -1), 769273791, 381974885, ( -1), 384543632, ( -1), 171634673, 204989117, ( -1), 464717366, 982469387, ( -1), 374183074, 226163791, 894387146, ( -1), 412476136, 884029919, ( -1), 82595632, 1419761, 352918008, 766060824, 125288665, 105926725, 747308504, 228372657, ( -1), 215314250, 103338297, 18140506, 932800348, 753761349, ( -1), ( -1), 408432881, 971906988, 878065974, 868283955, 643535012, 590838664, 591876425, 430155718, ( -1), 406846057, 55340733, 904597035, 472116625, 295484932, ( -1), 313510784, 39227593, 207583340, ( -1), ( -1), ( -1), 491598243, 451172976, 17227954, ( -1), ( -1), ( -1), ( -1), ( -1), 74225821, 143349397, 961710037, 115073365, ( -1), 287900058, 217795328, ( -1), 782688555, 970528356, 927008881, 987002637, 881837098, 874403584, 15760979, 85867160, 382484265, 242156571, 975032690, 282877128, 617886972, 311298037, 229471044, ( -1), 581715847, 674292359, 855590475, 357778391, 620927827, 952619266, 601924397, 401318079, 772302685, 494910589, ( -1), 209462031, ( -1), ( -1), ( -1), 803589303, 959021741, ( -1), ( -1), 32215950, ( -1), ( -1), ( -1), 424528955, 568243264, ( -1), ( -1), ( -1), 665504134, ( -1), ( -1), 643202638, 685398732, 803066504, 54674055, 321336098, 760636000, 746671270, 14382120, 532759634, 733931668, 155646717, 237790882, 90648173, 736294281, ( -1), 551323883, ( -1), ( -1), 565706957, 881698771, ( -1), 780856838, 318507371, 380972588, 709931203, ( -1), 955539126, 599715860, ( -1), 226916760, 893324045, 798166785, ( -1), 664980617, 328586180, 275128580, 744003666, ( -1), ( -1), 713571954, ( -1), ( -1), 140709105, 884402529, 573201463, 606364600, 262529089, ( -1), ( -1), 177123364, 454332992, 952042486, ( -1), 402737758, 690071679, ( -1), 986880535, 455782157, ( -1), ( -1), ( -1), ( -1), ( -1), 90870239, 515217820, ( -1), 935485273, 728905811, ( -1), ( -1), 804445561, ( -1), 506683519, 639965650, ( -1), 247436699, 579248704, 497365527, 804592916, 798682253, 849700880, ( -1), 305651828, 703007658, 661860400, 827261459, 38053893, 305742405, ( -1), ( -1), 251124943, ( -1), ( -1), 706411791, ( -1), ( -1), ( -1), 826510156, 513561147, 707405775, 788646155, 962039554, 669890491, 616061649, 832095418, ( -1), 577673741, 340386362, 721563965, 499445671, 250301103, ( -1), 561355483, 699167785, ( -1), ( -1), ( -1), 278822864, ( -1), 371193129, 694437542, ( -1), 879827345, 86912959, ( -1), 645734247, 124568481, 148973677, 641779420, ( -1), ( -1), 133472476, 513523189, ( -1), 995228771, ( -1), ( -1), 346672150, 610376652, ( -1), 4031110, 458424209, 326295261, 380847132, 493448295, 731576157, ( -1), 119834941, 387679391, ( -1), 293658052, 708988406, 741434456, 387636865, 46876670, 392248640, 815801430, 719980988, 769418673, ( -1), 553642209, 377583224, ( -1), ( -1), 674488819, ( -1), 921798602, 21273420, ( -1), 16035915, 767045850, 713704225, 217855244, 457688319, ( -1), 344727911, 918322654, 618380078, 193488834, ( -1), 579892962, 429646587, ( -1), ( -1), 98838121, ( -1), ( -1), ( -1), 567513554, 929755816, 368303612, 210584936, 180702552, 264600608, 127615770, 821553629, ( -1), ( -1), ( -1), 984843395, 628457910, 406271059, 990858456, 946776942, 920663843, ( -1), 515243291, 384694665, 790678706, 737181698, ( -1), 467812292, 767758333, 108117152, 619616609, ( -1), 894862678, ( -1), ( -1), 604568006, 483466959, 723983480, 608602671, 819739237, ( -1), 139829317, ( -1), 883228366, 632664964, 2866807, 561631054, ( -1), 119584938, 442762097, ( -1), ( -1), 221370860, 400788322, 380148316, 583053099, ( -1), 709795368, ( -1), 626144345, 506574475, ( -1), 755700588, 56017908, 738353117, ( -1), ( -1), 402399596, ( -1), 343887341, ( -1), 197167321, ( -1), 118743067, ( -1), 629947242, 532086841, 878343997, ( -1), 150319933, 951452814, ( -1), 187030293, 572461309, 944405954, ( -1), 707668981, 229234329, 798026506, ( -1), ( -1), 357576769, 226374478, 906724727, 443082088, 784519064, 832279748, 527064411, 880471957, 591584031, 396474040, ( -1), ( -1), 700425441, 975908624, 238729748, 652056934, 256974040, ( -1), 853722067, 50320869, ( -1), 38561165, ( -1), 29329375, 26208552, 847937494, 431420186, ( -1), ( -1), 285510905, 933353785, ( -1), 968972557, ( -1), 736259938, ( -1), 603795748, 603826633, 710000607, 436931265, ( -1), ( -1), 800597608, ( -1), 117974564, ( -1), 536543405, 13175037, ( -1), 908352141, ( -1), 674329327, 935137049, 258245378, 248072218, 903014671, 480985804, 353911824, 485473748, 526791631, 428275137, ( -1), ( -1), 401098457, ( -1), 739307050, ( -1), 903765445, ( -1), 228464169, ( -1), 665516778, 663290835, 772092651, ( -1), ( -1), 548533225, 921899298, 282265795, 259293968, ( -1), ( -1), 847444472, 476063272, 311878302, 964793500, 459138693, 545420298, ( -1), 526138493, 880975960, 407214999, ( -1), 801389050, 980221517, ( -1), 387916974, 444128861, 829057709, 921875681, 403969534, 577963166, 750275691, 953735633, ( -1), ( -1), 906433028, ( -1), 374970945, ( -1), ( -1), 540099062, 466967344, ( -1), 766018872, ( -1), 203868590, 711596290, 241623489, ( -1), ( -1), ( -1), 967587901, 425424658, 885140528, 614456591, 671993075, ( -1), 80385373, 517870409, 691136334, ( -1), ( -1), 357426788, ( -1), ( -1), 784891887, 4483329, 517017024, 634785035, 893949017, 952717883, 37777291, 957951226, 780667779, 606081786, 689790933, 316885861, 90729212, 51408359, ( -1), ( -1), 741444866, 19858937, 968771251, ( -1), ( -1), 502467566, 389359547, ( -1), 481042022, 881269216, 994592861, 962085193, 290517740, ( -1), 634059443, 114004421, ( -1), 324928003, 630615910, ( -1), 363685244, 504073733, 173719138, 315863714, 349032076, 816925681, 197835105, ( -1), ( -1), ( -1), 512993537, ( -1), 445585040, 365647162, ( -1), ( -1), 693639558, 54824779, 937937176, 450530108, ( -1), 902345653, 389118640, 548677312, 316260137, 885627456, ( -1), 468327338, ( -1), 385846294, 491688952, 738123441, 178737197, 468155533, 699029148, 127084283, ( -1), 579115012, 864390147, ( -1), 155519961, 719245457, 72411719, 635097445, 499115765, 166033195, ( -1), ( -1), 62444349, 104319514, 376523764, 252085527, 558589222, 793359874, ( -1), ( -1), 865197965, ( -1), ( -1), 312768232, 695024309, 157723276, 633177926, 918192056, 466934287, ( -1), 20761363, 816965384, 349793353, 981255067, ( -1), 584808445, 657437839, 197965210, 89345957, 892907549, 938433166, 301357165, 139228434, ( -1), ( -1), 70389260, 165802153, 173747083, 476215063, 658474038, ( -1), 172121710, 591520951, 624665372, 731207262, 516182569, 628797059, ( -1), 950020493, ( -1), 406171852, 876004946, ( -1), 479220878, 619754041, 37614811, 735470160, 73499272, 931141479, 328543485, 285959102, 589373285, 393406654, 676760108, ( -1), ( -1), ( -1), ( -1), ( -1), 625496459, 117357956, 242243972, ( -1), ( -1), 863416619, 920344041, 528622043, 911723719, 986752994, 754073240, 212471755, 85316013, 401244478, 152821698, ( -1), ( -1), 260737492, 427521800, ( -1), 42796682, 707216541, 357816992, 585334085, 328277525, 51796605, 224005305, 272518877, 343991310, 116889674, 412598969, 385668899, 766999884, 59390641, ( -1), 637155155, 654408230, ( -1), 945017420, 693363241, 681180047, 621782183, 649831374, 817232375, 171938888, 575995981, 471549196, ( -1), 22369149, 262388754, ( -1), 141007194, 837105182, 529664508, ( -1), 679132181, 613325317, 121741971, 280983037, 107720071, 284654022, 231666368, 496686806, 28205328, 912948390, 659823864, 333103456, ( -1), 87102108, ( -1), 137048457, 861106666, 898716611, ( -1), 864492390, ( -1), 321234883, 387385884, 69776271, ( -1), 661323068, 895058165, 542835836, 472278148, 878130841, ( -1), 743859250, 539532751, 643749360, 431520813, 132860330, 315654661, 831911797, ( -1), 80418504, ( -1), 503182016, ( -1), ( -1), ( -1), 395395763, ( -1), 611539802, 67481574, 998367270, 177081184, ( -1), 206364934, 740396183, ( -1), ( -1), ( -1), 233481382, ( -1), 261576227, 268513110, 847009874, 350767201, 517061380, 518512414, 665441236, 67265320, 751200261, ( -1), ( -1), 407782787, 882941360, ( -1), 514588091, 788626573, 278017224, ( -1), 46801880, 754986552, 158351349, ( -1), 583886855, 63040629, ( -1), ( -1), 869661293, ( -1), ( -1), 381667241, ( -1), 609807900, ( -1), 910933763, 752185094, 784627424, ( -1), 96775842, 524996683, 549831530, 778461350, ( -1), ( -1), 185956400, ( -1), 120590494, 134946769, 410399430, ( -1), ( -1), 946937760, 354930561, ( -1), ( -1), ( -1), 638049263, 444487966, 17759030, 784785445, ( -1), ( -1), ( -1), 397404948, ( -1), 544049940, ( -1), ( -1), ( -1), 530108114, 544811589, 260123265, 380597319, ( -1), 724733505, 518039173, ( -1), 933736647, ( -1), ( -1), 36156614, 161132787, 787406472, 926369793, 870255197, ( -1), ( -1), 373951810, ( -1), ( -1), 674730120, 292544102, 859146715, ( -1), 759785146, ( -1), 860364457, 115896768, 376711420, ( -1), 676720949, 646935140, ( -1), 310728431, 350663552, 962858656, 562382714, 526544176, ( -1), 141137425, ( -1), 442495519, 956711728, ( -1), 787336337, 470503522, 87672675, ( -1), 248574534, 93009991, 289763609, 701909316, 918957064, 780234982, 35065192, 818737377, 11633467, 483514182, 510601924, 25962037, 174808664, 63815773, 143224236, 304085051, 589221079, 835107652, 72499894, ( -1), 659936197, 491163331, ( -1), 31942793, ( -1), 203363686, 281006048, 559222631, 464579466, 191292113, ( -1), ( -1), 782138995, 887679524, 985252803, ( -1), 831246624, 808529418, 608089958, 993560204, 759432202, 735708213, ( -1), ( -1), 242173325, 946005440, 703494224, 476955750, 949071424, 476720047, ( -1), ( -1), ( -1), 812466860, ( -1), 930886155, ( -1), 280922476, 291769640, 151445284, 825598855, 244495802, ( -1), 497329424, ( -1), ( -1), 532468523, 946161725, 597791986, 787519448, 540634927, ( -1), 178450726, ( -1), 972140002, 134812397, ( -1), 227965140, ( -1), 888982041, 701978689, 122302268, ( -1), 661746269, 272243005, 837971286, 775450939, ( -1), 145889421, 442736816, ( -1), 421691625, 111539437, ( -1), ( -1), ( -1), 739818259, 790341746, 865432981, 596444097, 647990695, 799952170, 2634904, 90968139, ( -1), 335683855, ( -1), 400692999, 474941034, ( -1), 717394714, 120763391, ( -1), ( -1), ( -1), 455405924, 549061493, ( -1), 49018198, 742671774, ( -1), 521862759, 792268081, 494049002, 477743861, 126639116, ( -1), 199837302, 891274320, ( -1), 899109022, 83291099, 654942110, 550518248, 505935153, 400259929, 52561531, 982525694, 411044937, 468659041, 303667773, 695424271, ( -1), ( -1), 760607154, 448989497, ( -1), 292866672, 261269317, 496824596, 331922550, 21986165, ( -1), 378200594, 470979331, ( -1), 701693169, 417045829, 955045159, 622767734, 192042832, 6421337, ( -1), 496796682, 587247181, ( -1), 901841394, 718634498, 187527228, ( -1), ( -1), ( -1), ( -1), ( -1), 178712475, ( -1), 583643132, 849747346, 627148374, ( -1), 423713554, ( -1), 695656938, ( -1), 79205284, 840882197, 786434858, 255284431, 839948595, 497587811, 374713651, 783725184, 418604497, 815948452, ( -1), 465643444, 714519766, 339815300, ( -1), 259798539, 733385113, ( -1), 671192109, 597374413, 652810718, 796392440, 618826851, ( -1), 826918889, 493285665, 880944779, 365898725, 347035165, 189116719, 937647095, 617391872, 133142475, 472204689, 652755067, ( -1), 51536834, ( -1), ( -1), 715827111, 831179991, 366990792, ( -1), ( -1), ( -1), 273459559, 33875664, 841652414, 773297895, ( -1), ( -1), ( -1), 552322079, 589876231, 523345216, 955639869, 496741677, 222053059, 551517521, 752770056, 137384170, 418748961, 512098694, 3200413, 476744897, ( -1), 354171296, 647925763, 562076558, 504235622, ( -1), 290881141, 166179221, ( -1), ( -1), ( -1), 847084304, ( -1), ( -1), 325326801, 921468015, 268095085, ( -1), ( -1), 857199347, 659720405, 339653588, 56727746, 385752097, 696201196, 958974767, 389073129, ( -1), 259849926, ( -1), 909023396, ( -1), 956503932, ( -1), ( -1), ( -1), 111064128, ( -1), 654129970, 462637906, 70311643, ( -1), 66119926, 507852545, 166331450, ( -1), ( -1), 491072991, 120402200, 569731700, 894665915, ( -1), ( -1), ( -1), 802193133, 203353335, ( -1), ( -1), 359140793, 638065295, ( -1), 378882492, 152207546, ( -1), 803187178, 731175468, 510337076, ( -1), ( -1), 760842195, ( -1), 369192496, 337043643, 336130157, 218681871, 949465153, ( -1), 442072451, 481106428, ( -1), ( -1), 226239119, ( -1), ( -1), ( -1), 353234848, ( -1), 300590038, 112316201, 947467157, ( -1), 92283118, 902363411, 909504794, 577878172, ( -1), ( -1), ( -1), ( -1), 722247686, 91729611, 153569256, ( -1), 91599198, ( -1), 261731841, ( -1), 389420701, 603095927, ( -1), 63391114, ( -1), 522805611, ( -1), ( -1), ( -1), 954015691, 822314329, ( -1), 434479867, ( -1), 718912680, 626623365, ( -1), ( -1), ( -1), 227347978, ( -1), ( -1), 714381011, 730423341, 572330852, 389171296, 446707024, 592199520, 728413080, ( -1), ( -1), 649701237, 651683162, 557654235, 1782723, 129909207, 917805522, ( -1), ( -1), 551900862, ( -1), 753543128, 834811820, ( -1), 381078507, ( -1), 688322635, ( -1), 343584872, 620587546, 840471818, 137517305, ( -1), ( -1), ( -1), 640763486, ( -1), 153978784, 442280342, 534780019, 793223175, 206833205, 803126489, 604835269, 784043109, ( -1), ( -1), 711917477, ( -1), ( -1), 450387374, 801694956, 327668238, 667359306, 927342196, 645398274, ( -1), ( -1), 681090546, 242497657, 653289735, ( -1), ( -1), ( -1), 467013917, 683276977, 193637496, ( -1), 407886496, 211146961, ( -1), 364180392, 117436048, 673060305, 529252698, ( -1), ( -1), 543655700, ( -1), 204660801, 618811384, 427575762, 140658629, ( -1), 890999794, 740715009, 519009395, 891058078, ( -1), 299360495, ( -1), 785150410, 773259298, 433173368, ( -1), 440132059, 693894777, 297562255, ( -1), 606702833, ( -1), 226698003, ( -1), 345499953, 953505193, ( -1), 466646080, 742366738, 315851242, ( -1), ( -1), ( -1), 506946429, ( -1), 717970188, 514844335, 594794080, 424230350, ( -1), 736232440, ( -1), 560291819, 72424343, ( -1), 842402883, 298971270, 609481678, ( -1), 587815809, ( -1), 790493242, 444463858, 16785077, ( -1), 614888162, ( -1), 609287643, 373084434, 909181496, 802436833, 360770255, 359079180, 611525725, ( -1), 349665876, ( -1), 163095855, 952549503, 505764973, 945739181, ( -1), 913049034, 233965638, ( -1), ( -1), 977126170, 89048267, 299614496, 986711317, 929273326, ( -1), 106336417, 86635204, 627519938, 141406392, ( -1), 754324102, ( -1), 753399494, 239109218, 472069039, 255155896, 228283222, ( -1), 801081189, 172351651, ( -1), ( -1), ( -1), 522953636, 575062852, 945710552, ( -1), ( -1), ( -1), 229195512, 466721798, 856378044, 987354425, ( -1), 186277797, ( -1), 433106644, 387400057, 409595721, 494012756, 930663232, 533200187, ( -1), 825259093, ( -1), ( -1), 489529531, 35647130, 164053862, ( -1), 115903082, 344969028, 411460180, ( -1), 349213108, ( -1), 528858578, 141695035, 184690501, ( -1), 746434728, 2878424, 643300963, 123173510, ( -1), ( -1), 850687772, 748455441, 665322912, 349166013, 151866507, ( -1), ( -1), 506089172, ( -1), 646876447, ( -1), 778182184, 720534494, 585762687, 879802957, 790691197, ( -1), ( -1), ( -1), 976791684, 260333664, ( -1), 398949707, 532943707, ( -1), 547878541, ( -1), 351962205, 644042338, 758361816, 328103378, 541770229, ( -1), 687400469, 34930135, 694696663, 46470178, 712079996, 630272437, 571415404, 889874679, 749803285, 494487134, 810006200, 902320478, ( -1), 176094056, 359996482, 326992038, 865827471, ( -1), 257277285, ( -1), 394998325, 485947749, 324842844, ( -1), 488979872, ( -1), ( -1), 327556826, 392192962, 909485217, ( -1), 116963372, 388471101, ( -1), ( -1), ( -1), 500298949, ( -1), 757456597, 159311631, ( -1), ( -1), 855410258, ( -1), 682287332, 973606615, ( -1), 531159342, 97256549, 577984623, ( -1), 236185785, 803729119, 377475859, 465373961, ( -1), 562589767, 895755723, 874985476, 632946876, 95800338, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 957289331, ( -1), 524474572, 704761143, 591713601, ( -1), 965669856, 140117002, 311202510, 304343938, 989739591, ( -1), 265102463, 661267861, 266768389, 716826837, 659233466, 356155057, 790409442, 13580890, ( -1), 704940156, 206886545, 125028326, 445728811, 190055065, 959242780, 604889354, 948783950, 926162988, ( -1), ( -1), ( -1), 60005855, 298551913, 12369046, 719536973, 248069469, 336531933, ( -1), 665592024, 870430645, 596235347, ( -1), ( -1), 247125585, ( -1), 681125352, ( -1), 419432303, 280304993, 657859127, 577857796, 72061220, 741821979, 928053127, 721338112, ( -1), ( -1), 174350016, 440998472, 531325402, 224795304, 519671426, 736504081, 353238499, ( -1), 964426211, ( -1), 85413270, 691620232, ( -1), 665132441, ( -1), 479946406, ( -1), ( -1), 212948251, ( -1), ( -1), 753023772, 527511674, ( -1), ( -1), ( -1), ( -1), ( -1), 158716274, 934157249, 20468915, ( -1), 191023397, 889035690, ( -1), 731316228, 824194895, 762984641, 82317058, 862577641, 515053719, ( -1), 785403891, 161235279, 840113753, 764103670, 226957029, 607963757, 830123422, 447450699, 75797303, ( -1), 522831355, 486537493, 78690293, 293301180, 7874846, 417561948, 178602405, 709611480, ( -1), 42388029, 437684435, 277010115, 154101251, 886325524, 715440653, 93075552, ( -1), ( -1), 542732685, ( -1), 545174021, 552391718, ( -1), 244030945, 785558790, ( -1), ( -1), 37853555, 976909639, ( -1), 767991069, 221168690, 479294406, 835045261, 134687146, ( -1), 538038721, 195277389, 630375973, ( -1), 686197079, ( -1), 611334675, 463425734, ( -1), 481655996, ( -1), ( -1), 650154004, 547011335, 953948327, 329600897, 475966533, ( -1), ( -1), 422868337, 598807113, 470672564, 445588231, 15078250, ( -1), 806234918, 462881214, 251926218, 200085569, 227437043, ( -1), ( -1), ( -1), 349570695, 465524148, 632266634, 274457104, ( -1), ( -1), ( -1), 430872403, 894071893, 806187585, ( -1), 864199489, 653926536, 561852551, 789156289, 334296910, 725799144, 746945111, ( -1), ( -1), ( -1), 383300457, 669089310, 540286661, 569424791, 650810423, 399102588, ( -1), 276362868, 385136131, ( -1), 584426189, 304411779, 598590656, 440577394, 263158600, ( -1), 635011510, 181892756, 377638249, 945718187, ( -1), 124287913, ( -1), 114207364, 625205007, 197552338, 175654862, 104862010, ( -1), ( -1), 452384883, 100566043, ( -1), 699975105, 142130064, ( -1), 132606201, 841399664, 714874907, 990394862, 714182000, 78715890, 736845829, 696484375, 726929792, 787683062, 637005161, 857475178, 156871533, 582495693, ( -1), ( -1), ( -1), 574217580, 691938343, ( -1), 855621634, 483994479, 296399030, 505540335, ( -1), 43377204, 917070462, 895039073, 645525420, ( -1), ( -1), 485430328, 764122018, 953589819, 964269367, ( -1), 331373414, 170319841, 220705412, 803775461, ( -1), ( -1), 793703862, ( -1), 709271850, ( -1), ( -1), ( -1), ( -1), 544388535, 745070970, 374858624, 669374946, ( -1), ( -1), 343143500, 389151537, ( -1), 416359388, 186770085, 244419082, 341942622, 572072233, 894626634, 966553749, 968727183, 578417153, ( -1), 8745446, 974211111, 976420233, ( -1), 431971819, 24964124, 404526205, ( -1), ( -1), ( -1), 390656353, 742475423, 999037680, 834612307, ( -1), 331473864, 262734336, 838542017, ( -1), 729338016, 98068481, ( -1), ( -1), ( -1), 491524794, 160019923, ( -1), ( -1), 815487703, 184626034, ( -1), 140786020, 987093081, 504548826, 399501889, 421287629, 213774633, 117919797, 118658462, ( -1), 883897396, ( -1), 559073586, 739537054, 897595615, ( -1), 612687845, 355151090, ( -1), 179751379, ( -1), 293892381, 345283184, ( -1), ( -1), 693972553, ( -1), ( -1), 923901862, ( -1), 78446065, 203554059, 678654656, 475475356, 529980405, ( -1), ( -1), 297032404, ( -1), 192513012, 501027316, 655635337, 834920419, ( -1), 637076763, 937134803, 167930133, ( -1), 853716281, ( -1), 90448590, 886606614, 312354494, 105638468, 649467782, 936849616, 516421884, 491737514, 301370333, ( -1), ( -1), ( -1), ( -1), ( -1), 304557671, 343631026, ( -1), 927998428, 178203531, 630513571, ( -1), 654320974, 421500042, 664302783, 856437916, 831675664, 844808134, 456173464, 860402036, 438853701, 191511109, 776349646, 237959579, 876294241, 797372862, 350795329, 886952122, 92588595, 33052007, 948927517, ( -1), ( -1), 919391924, 936073388, 846832990, ( -1), ( -1), 861809817, 994244994, 936381899, ( -1), 962111173, ( -1), 402624141, 907384991, 308718716, ( -1), 9886920, 564598904, 723194667, 362000233, 372638767, 531652533, 240801773, ( -1), 928494269, ( -1), ( -1), 268406864, ( -1), 773536602, 795798703, ( -1), 234974516, ( -1), 626235908, 920223906, 577519596, 545760936, 721145793, ( -1), 818254495, ( -1), 443518042, ( -1), ( -1), ( -1), 222219148, 30759707, 776170456, 914275121, 434052511, 101801159, 810168617, 424204920, ( -1), 522642407, ( -1), ( -1), 349168640, 933857381, ( -1), ( -1), 127918899, 42080126, ( -1), 192557497, 496083564, ( -1), ( -1), ( -1), ( -1), 30303244, 230316724, 84326747, 205432507, 550232441, 962055656, 250638634, 329342119, 438764466, 253442950, 51278549, ( -1), 282874206, ( -1), 772897095, 200697105, 186927981, 195057177, 748498243, 725591029, 486207383, ( -1), 921304466, ( -1), ( -1), 385883370, 640207990, 548779698, ( -1), 377772197, 827545646, ( -1), 980071134, ( -1), 176206624, 550405782, ( -1), 758468308, 633517791, 981930134, 259837345, 702008269, 201427989, 520893804, 253165605, 240506342, 687129182, ( -1), 382144766, 134818455, ( -1), 679687064, 158043291, 436083052, 366539979, 8890965, ( -1), ( -1), 676822951, 725427562, 560070315, ( -1), 674208145, 304134504, ( -1), 80128693, 21495734, 60369667, 30090685, 103839800, 572912, 879381011, ( -1), 997772947, ( -1), 206746882, 155845254, 726078515, 197273842, ( -1), ( -1), 891907112, 894099119, ( -1), ( -1), ( -1), 641403090, 448418338, 904967673, 502370333, 870204053, ( -1), 989796404, 249808332, ( -1), 626783578, 451341761, 772824386, 71731159, 241961383, ( -1), 433094373, 579473810, 194730556, 864496952, 758444371, 322773801, 270954745, 601068283, 533288697, 776930935, 487089386, 466993828, 1983702, 288070128, 931892173, 683676197, 844028337, 737684872, 865249836, 170179751, 378648156, 684684177, 496003643, 84911927, 946501264, 129309620, ( -1), 756282467, 52338791, ( -1), 376567150, 310626230, ( -1), 719200406, 375655466, ( -1), ( -1), 870978475, ( -1), 684776098, 353014486, 875754025, 636155318, 113199145, 157016655, 518705232, 422593211, ( -1), ( -1), 777542949, ( -1), 412375130, 471728860, 873532138, ( -1), 381727276, 794462129, 100339952, 76434080, 366061872, 252882604, 717098112, 683668367, 32193323, 120946059, ( -1), 781172934, 295831339, 107584357, 263801876, ( -1), ( -1), 575959269, 159339784, 196372831, 598705289, 513450371, ( -1), ( -1), ( -1), 68490587, 196935696, ( -1), 521182764, 310416253, 678203657, 324647710, 473629672, 494917433, 602174032, 855938200, 995943508, 550008358, 563396961, 349607986, ( -1), 684303288, 48640228, ( -1), 179348371, 957670386, 365489048, ( -1), 966779552, 943686451, 111755357, ( -1), 801027466, 537581380, ( -1), ( -1), 736872908, 736444317, 307530984, 933501248, 629828363, 835774686, 837997638, 669528089, 723712862, 478808348, ( -1), ( -1), 65589804, ( -1), 891697341, 783130354, 991106263, 549875759, 993141137, ( -1), 886733563, ( -1), 274000179, 205110977, 854570974, 173374407, 721129333, 775683118, ( -1), 462775368, 967325905, 20378296, 621243391, ( -1), ( -1), 544743206, 573673364, ( -1), 369039699, 137987208, 127742230, ( -1), 21602149, ( -1), ( -1), 323071564, ( -1), ( -1), 311928116, ( -1), 732700295, 800741117, 463720721, 250403924, 631044790, 350775677, ( -1), 140047568, 537865473, 698855291, 6786769, 405264064, 945770076, 745823732, 640401757, 943997250, 213290057, 45760695, ( -1), 628381506, 240335026, ( -1), ( -1), 190344903, 99610803, ( -1), 821437116, 16027399, 874438907, 982813379, 360592892, ( -1), 783916106, 585870308, ( -1), 27883502, 768454832, 508439144, 496347762, 623889785, 660449017, ( -1), 296113514, 822511564, 739295118, ( -1), ( -1), ( -1), ( -1), 633457230, ( -1), 882699986, 95247273, 29660723, 850353982, 144687101, 642548443, 82483636, ( -1), ( -1), 694452543, 215963856, 398186266, ( -1), 431610761, ( -1), ( -1), 155389991, 347211071, ( -1), ( -1), 935763941, ( -1), 202181609, ( -1), 291985659, ( -1), 946557824, 795308165, 856182533, ( -1), 115757835, 37538552, ( -1), 512548597, ( -1), 856391371, 346510645, ( -1), 901337441, 221627248, ( -1), 904801947, 11565980, 583958880, 210408151, 429768993, 4644075, 561438761, 227637585, 118346340, 309987948, 642136052, 240611734, 889168620, 509787767, 979813078, ( -1), 347633742, 898420816, 686691193, 920690391, 685099092, 189582109, 405027349, 609066990, 825622644, 367664593, 612397949, 107165872, 684051209, ( -1), 704675208, ( -1), ( -1), 343876843, ( -1), 515135693, ( -1), 949459240, ( -1), ( -1), ( -1), 462977958, 676157694, 756312121, 538436540, 13904870, 338136449, 768076207, ( -1), 499759479, ( -1), 231462215, ( -1), 738269811, 912602837, ( -1), 965626516, 385248081, 163705510, 604138864, ( -1), 642564601, 338941709, 607490849, 471176862, 262782597, 374001206, 584359262, ( -1), ( -1), 435617438, 366590031, ( -1), 270454115, 345722272, 131128210, 814580054, 398790999, 180162842, 111670295, 798682709, 834309709, 562539638, ( -1), ( -1), 264602065, ( -1), 519521533, ( -1), 71137340, 663663036, 146511698, 216879462, 110440006, 239596070, 547601496, ( -1), ( -1), 426346055, 114707976, 103878992, 863344915, 980545583, 358105258, 648278413, ( -1), 35801094, 912853132, ( -1), ( -1), 790673404, 904151319, 190373957, ( -1), 941299571, 844559097, ( -1), ( -1), ( -1), 768160123, 411908165, 573696028, 789255277, ( -1), 301230610, ( -1), 101930377, ( -1), 256796593, 377940319, 273575030, ( -1), 310783655, ( -1), 834093706, 17818854, 148122509, 481549673, 26673174, 280358131, 78042099, 698325473, ( -1), ( -1), ( -1), 202264636, 827312459, ( -1), 904313451, 588756065, 586182351, 298284937, 876126339, 351790280, 634742208, 312687173, ( -1), 577681310, 733148139, 277285725, 507299709, ( -1), 304516931, 604047680, ( -1), 561969286, 343896216, 404820684, 254788961, 792950688, 786908367, 900265575, 103100177, ( -1), 163980619, 694158548, ( -1), 255232589, 51058792, 246345729, 732491235, 273164081, 180065781, 124072590, ( -1), 541620809, ( -1), ( -1), 128190184, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 835727169, 254281161, 181871884, 372912232, 212694747, ( -1), 685749262, 505072617, ( -1), 594287935, 795812592, 326603251, 975853227, 193100707, 133981447, 597746248, 476066596, 530106815, 595219011, ( -1), 412714055, 727902731, 498817350, 800440905, 81986237, ( -1), 188258721, ( -1), ( -1), ( -1), 793472036, 852155190, 244763421, 877036879, 467880433, 24380499, ( -1), 388315544, ( -1), 667579797, ( -1), ( -1), 621790158, ( -1), 988238086, 142288484, ( -1), ( -1), 175177029, 249341834, 120818867, ( -1), 49875995, 228994428, 313577736, ( -1), 884192583, ( -1), 899502008, 65775506, ( -1), 277833095, 746691095, 414048211, 162450219, 151855888, 631159831, 434815846, 905103469, 529215300, 459478713, 504916348, ( -1), ( -1), ( -1), ( -1), 616324183, ( -1), ( -1), 151802165, ( -1), 985291911, ( -1), 484358315, 454116913, 797606078, 833638895, ( -1), ( -1), 379443963, 563897533, 921226699, 630490384, ( -1), ( -1), 391876690, 646503540, 375172830, 793132712, ( -1), 889828629, 225492963, 614177681, 757663178, 187261482, 918212642, 912362334, 670925711, 728701478, ( -1), ( -1), 384547358, 255151301, 962024982, 955316558, 147532472, ( -1), 665435264, 733780486, 489876798, 145222291, ( -1), ( -1), ( -1), ( -1), 113839338, 498939176, 569474998, 463500894, 414267770, ( -1), ( -1), 354844068, ( -1), 663676126, 981294466, 334397332, 609291164, 325234717, 586895368, 946938195, 377863033, 129480402, 329843640, ( -1), 358541767, 752060040, 896931831, 723147269, 443393012, ( -1), 275965884, 373204733, 528893344, 979710747, ( -1), 847153717, 885479060, 487933905, ( -1), 777120470, 260411430, ( -1), 498654339, 404041689, 831298541, 491256048, 761855193, 719980477, 582980266, ( -1), 180018881, 941425403, 562894912, ( -1), 823240411, ( -1), 231155139, 187338849, ( -1), 473858056, ( -1), ( -1), 823453534, 753618404, 513274332, 601599158, 15010816, 848280300, 275959468, 431771546, 887989442, 244623482, 906228618, ( -1), 92052805, ( -1), 532468499, 392666954, 600587729, 482563792, ( -1), ( -1), 229740842, ( -1), ( -1), 601685408, 715720158, ( -1), 233223772, 93991251, 173033015, 880726971, ( -1), 436587791, ( -1), 625387954, 73133662, ( -1), 998138374, 619135503, 634111108, 861467079, ( -1), 227418358, 346655047, 571485576, ( -1), ( -1), ( -1), ( -1), 763566305, ( -1), 584607111, 439496890, 412220503, ( -1), 476576815, ( -1), 119587213, 55739728, 647564807, 404462514, 889271426, 719903232, 516042249, 850290038, 128559338, 943121425, 45514871, ( -1), 171931399, 346535592, 261212540, 671955320, 253827168, 504307026, ( -1), ( -1), ( -1), 396960583, ( -1), 750450181, ( -1), 534214393, 513123160, 481547408, ( -1), 705576978, 356806489, 200631102, 138674144, ( -1), ( -1), 278601256, 694353422, ( -1), 793251343, 790037437, 989589153, ( -1), 368066728, ( -1), 7569645, ( -1), 310157463, ( -1), 935451098, ( -1), 766102243, ( -1), 859822056, 99495207, ( -1), ( -1), ( -1), 109230734, 865591894, 315648206, ( -1), 714314900, 447094750, 988894885, 624523302, 918697626, 441143431, 638268407, 110673725, 930304495, 556328165, 717562496, ( -1), 597288786, 85350999, 759362161, 28286943, ( -1), 748316675, ( -1), 644444479, 704680056, 909976811, 917489824, 655270023, ( -1), 93578954, 189668739, 441958166, 381588015, 15290861, 228029824, ( -1), ( -1), ( -1), 123776501, 15808316, 116884439, ( -1), 347189498, 303939084, 960519369, 520928011, 60952005, 881631869, 468647637, 962000140, 290630008, 119499981, 496107832, 351502180, 375321567, ( -1), 612549072, 359820692, 799376802, 205315855, 79774510, 752612681, ( -1), 78904219, ( -1), 806467633, ( -1), 841509106, 678713714, 981353897, 759778202, 650430665, 19760387, 25169800, 896267575, 827519487, ( -1), 342600883, ( -1), ( -1), 857510412, 35650033, 461897721, 31014508, 483020113, 672581882, 337136077, 790422857, 22481472, 495846580, 189296149, 839592577, ( -1), 1795352, ( -1), 564794230, 261507652, 982990172, 380536557, 244636130, ( -1), 106215830, 692301303, 116508965, 636222861, 572807080, 149111729, 569719661, 338412058, 321942394, ( -1), 131724566, ( -1), ( -1), ( -1), 787369326, ( -1), 808790793, 660187906, 859366774, ( -1), ( -1), ( -1), 523437232, 916338076, 469538007, 730393475, ( -1), 295960235, 780329878, 718742, ( -1), ( -1), 473174501, 887298005, ( -1), 201583297, ( -1), 573112351, 232797686, 922105080, 233310577, 70710262, 699877753, 198833354, ( -1), 864223715, 610856914, ( -1), ( -1), ( -1), 768806945, 423775693, 203223284, 357165293, ( -1), ( -1), ( -1), ( -1), 503363189, 784253515, 35010626, 324148115, ( -1), 42052969, ( -1), ( -1), ( -1), 520480124, 19401320, 954174060, 161611148, 265127719, 637548220, 313597022, 150590786, ( -1), 912737390, 440647587, ( -1), 208709243, 764186554, ( -1), 691739379, 890221800, ( -1), 440632743, 890838181, ( -1), 13977551, 901893405, ( -1), 427460026, ( -1), 141325526, ( -1), 304747584, 266458411, 423027317, 418589427, 858893199, 319283996, ( -1), 873444503, 266606179, 324974924, ( -1), 980675107, 935636923, 276595168, 325490750, 667957753, 645685658, 146486908, 780863035, 19521471, 207381200, ( -1), 563623807, 204543915, ( -1), 411988393, ( -1), 711611650, ( -1), 835968734, 211038816, 896953874, 546855547, 727977672, ( -1), 137746399, ( -1), ( -1), 1695185, 71213740, ( -1), 61980712, 731090823, 424498864, 36461368, 400165707, ( -1), 117576192, ( -1), 232022446, 554414986, ( -1), 468182538, 378470297, 191288384, 814088025, 488729515, 260927558, 318629499, ( -1), 568407411, 45242465, 750486488, 68012495, 41747982, ( -1), ( -1), 959210647, 192221768, ( -1), ( -1), 497319673, 143695902, ( -1), 778132019, ( -1), ( -1), ( -1), 360048758, 353594146, 440458175, ( -1), 660608184, ( -1), 895043155, 851058402, 38537574, 388425050, 13336368, 82705429, ( -1), 187158254, 507491931, 915076328, 397224528, 858599602, 460626470, 17703679, 839270787, 243201938, 745624571, 112449951, 48901976, 340104914, 779895629, ( -1), 546209630, 372174341, 237910037, 440290872, ( -1), ( -1), 651968963, 776119633, 104041710, ( -1), 677513397, 337177996, 594855523, 854758199, ( -1), 869382873, 636933699, 599024929, 30871448, 951088697, 298157098, 283253706, 422510820, 513609964, 491289011, 488678664, 717845079, 522669613, 239564692, 751851720, 893406796, 50448954, 651373175, 511978385, ( -1), 588086526, 967643347, 991785210, 41628395, 811269757, 112110108, 313734534, 123102146, 250927085, 89790003, ( -1), 524285581, 663794464, 844852143, 144974634, 218900192, ( -1), ( -1), 204169110, 842726938, 473219088, ( -1), 708380954, 666290719, ( -1), 451204658, ( -1), 223104860, 532416787, 547919115, ( -1), 298232015, 755951687, 191168375, 190360325, 307997790, 639380072, 664104989, 249996118, ( -1), 872038057, 112263646, ( -1), ( -1), ( -1), ( -1), 472705527, 238599899, 576151531, 238761352, ( -1), 265488252, 182254987, 515171789, 13242509, 226084384, 995608639, ( -1), ( -1), 788991943, ( -1), 500797227, 682622045, ( -1), 861088328, ( -1), 603438596, 252381010, 729670394, 127301820, 781467625, ( -1), ( -1), 524794024, 404193412, 695437361, ( -1), ( -1), ( -1), 40838246, 105406113, ( -1), ( -1), 258214184, 915540925, 520110219, 997894712, ( -1), 176799201, 280095810, ( -1), 458739428, 759200920, 271817710, ( -1), 179454525, ( -1), 532163047, 724245567, 560966351, 254603491, 362162945, ( -1), 343055980, ( -1), 328904253, ( -1), 874603339, ( -1), 211211695, ( -1), 669558492, 642552231, ( -1), 728884850, 450857204, 417358684, 87481304, 291805854, ( -1), 887410626, 395218933, ( -1), 147378590, 495414714, 403356942, 193249194, 666656208, 503989135, ( -1), 377253965, 259150603, 578205447, 585871631, 344905473, 873621838, ( -1), ( -1), 639256907, 683160005, 921282561, ( -1), 200529621, 540674808, 630947781, 370806318, 899230628, 982250492, ( -1), ( -1), 552543515, ( -1), 102711621, ( -1), 166873926, ( -1), ( -1), 160873081, 399660907, ( -1), ( -1), 861068597, ( -1), ( -1), 254083389, 160316606, 587722975, 683257616, 598815164, ( -1), ( -1), ( -1), 221856200, 712850983, 850642794, ( -1), ( -1), 918584637, ( -1), 93580523, ( -1), ( -1), 529704807, 265247286, 984274600, 726095829, ( -1), 660497401, 966091404, 444729017, 365367481, 901559346, 834401561, ( -1), ( -1), ( -1), 247554466, 52809804, ( -1), ( -1), ( -1), 704759590, 98712504, ( -1), ( -1), ( -1), 763869738, 235561982, 486598552, ( -1), 249569688, ( -1), 910039393, 197789404, 540548282, 477950920, 444255761, 871097711, 357966549, 984338358, 724677452, 366879872, ( -1), ( -1), 489565323, ( -1), 517613361, ( -1), ( -1), 288595785, 156861795, 999781093, 984909913, 984170955, 485947593, ( -1), 360999710, ( -1), ( -1), 377274576, ( -1), ( -1), 48143080, 624793326, 646483703, 966699571, 674857924, ( -1), 937372968, 74965396, 367617341, 290010716, ( -1), 48697363, ( -1), ( -1), ( -1), 203164419, ( -1), ( -1), ( -1), 954528084, ( -1), 128328417, ( -1), 62896282, 887327115, 459255209, 116068050, ( -1), 888486183, 593694480, 130011083, ( -1), 30577349, 202988121, 582553402, ( -1), 559851034, 190256353, 483605105, 533080270, 469992961, 920417313, 710840522, ( -1), 916031222, 697360667, 962764146, ( -1), 687491523, 509502135, 991968626, ( -1), ( -1), 659233585, 834674847, 917282254, 18142301, 347704535, 892407455, ( -1), 257204944, 571448586, ( -1), ( -1), 998324185, 35302953, ( -1), ( -1), ( -1), ( -1), 159643972, 449830318, 119190047, 871894324, 861002052, 34910836, 90366802, 11539348, 184070046, ( -1), ( -1), 261277275, 38522602, ( -1), 899046629, 656232092, ( -1), 349824251, 2575525, 677637207, 732628033, 974847345, ( -1), ( -1), ( -1), 447674586, ( -1), 122588256, 419281441, 88639939, 903589805, ( -1), 574774169, ( -1), 760502037, 897475452, 936847136, 38942069, ( -1), 152784074, 454954965, 694568446, 81877242, 930744372, 750556936, 671671935, 448603541, ( -1), 753254429, ( -1), 996291772, 276302480, ( -1), 835829478, 523829743, ( -1), 657583306, ( -1), 112782515, 465621961, 85791419, 248092380, 492798694, 543511830, 818007423, 457003130, ( -1), 745554177, 541513018, 696563585, 385557704, 560149300, ( -1), ( -1), ( -1), 256462538, 344579904, ( -1), 271970831, ( -1), 616024703, 401665004, 216330466, 561263491, 776567218, 943754519, 794037923, ( -1), 927204309, 389296578, ( -1), ( -1), ( -1), 553395181, 714137652, ( -1), 850374759, 799080985, ( -1), 543676147, 302402327, 571354860, 671016085, 216441061, 924005338, ( -1), 79658763, 646162753, ( -1), 128551808, ( -1), 408469212, ( -1), 821889213, 179399230, ( -1), 454070162, 878199783, 112678109, ( -1), ( -1), 976488551, 798742766, ( -1), 318552002, 606211232, ( -1), 802773380, 795447914, 230789560, ( -1), 862751285, 671830966, ( -1), ( -1), 539502714, ( -1), ( -1), 310639469, ( -1), ( -1), ( -1), 53349043, 594385523, 769825909, ( -1), ( -1), 164021429, ( -1), ( -1), 944629892, 328008233, 909955675, 896351135, 542862151, ( -1), ( -1), ( -1), 557549756, 275629781, 770425960, ( -1), 767281983, 154650757, 281366352, 774069841, 928200826, ( -1), 792788376, ( -1), 874634136, ( -1), 956864839, 30800504, 909007406, 851788264, ( -1), ( -1), 398873043, 379643782, 684648060, ( -1), ( -1), 319297676, 621991054, 294177110, 697968686, 705743450, 378223157, ( -1), 386228781, ( -1), 848755451, 777042692, 843460560, 381831043, 146825336, ( -1), 895323751, ( -1), 518440962, 361830661, ( -1), 722155572, 499036833, ( -1), 713937192, ( -1), 570704822, 260585846, 202560153, 663953927, 84109685, 711745352, 566621483, 854619062, 738456702, 498958893, 681610203, ( -1), 963935878, 51268742, ( -1), ( -1), 479674434, 263397553, 652272981, 619483134, 893862229, 819551408, 335326937, ( -1), ( -1), 293640193, 597476506, 727611032, 235137048, 717763547, 308386130, 979647598, ( -1), 867699302, 524852289, 174176354, ( -1), ( -1), 155464461, 410437602, 138073902, 695676124, ( -1), 537242490, ( -1), 812076683, 831190969, 766911331, 28657554, 742949158, 113873713, 710609651, 366007210, 749011593, ( -1), 441283483, 238401311, 763385204, ( -1), 875353409, 214753496, 227981940, 100638893, 974533131, ( -1), ( -1), 688635341, ( -1), 840949086, 95473545, ( -1), 991135387, 852616326, 102786721, 955502874, ( -1), ( -1), 341278929, 719470835, 327674256, 382541213, 277881618, 342879646, 402881939, 240778149, 15814260, ( -1), ( -1), ( -1), ( -1), ( -1), 575786644, 185850672, ( -1), 34740852, 233244352, 106318913, ( -1), 72501834, ( -1), 418685157, 354713845, ( -1), 406909380, ( -1), ( -1), 48362483, 616181640, ( -1), ( -1), 917798029, 525581204, 940973352, 131240773, 455326768, ( -1), 862348037, 985636872, 111211751, ( -1), ( -1), 702385889, ( -1), ( -1), 178677365, 117906348, ( -1), ( -1), 556221211, 495121810, 604657715, 112345447, 810590588, 281750997, 677913910, 499026340, 67776247, 951302050, 866246281, ( -1), 405012473, ( -1), 894664477, ( -1), 255587683, 284764929, 649279884, ( -1), 476697941, 468014117, 151527391, 468541837, 745656838, 809997493, 258098403, 57063396, 269313462, 461260068, ( -1), 764902286, 443623947, ( -1), ( -1), 646661602, 107550707, 110535679, ( -1), 251553486, ( -1), 170431747, 41033666, ( -1), 619307155, 523535558, ( -1), ( -1), 721491946, 504457036, ( -1), ( -1), 481918942, 55800704, 202337138, 433484233, 342019157, 222219338, 466089710, ( -1), ( -1), 971579429, 42777972, 454416956, ( -1), 843643305, 92923027, ( -1), 953027731, ( -1), 83067595, 69197060, 468170194, ( -1), 564559493, 892298596, ( -1), 149082264, 579452615, ( -1), ( -1), 157104096, ( -1), 484096202, 42012411, 772198784, 916919615, 581995822, 827788670, ( -1), 546195744, 756639981, 179579961, 454355511, 321302342, ( -1), 958877227, ( -1), 127816942, 817411238, ( -1), ( -1), 660098315, 547787524, 924938310, 578240485, 873708955, 356497942, 373299731, ( -1), ( -1), 503633290, ( -1), 240203871, ( -1), 839476048, 776308698, 54704220, ( -1), ( -1), 174387042, 305001033, 25101737, 240125234, 989318751, 112696620, ( -1), ( -1), 164085794, 357566163, ( -1), ( -1), ( -1), ( -1), 68548194, ( -1), 54441193, ( -1), 490712073, 400387624, 406736207, 942364868, ( -1), 922865895, 83187440, 639040480, ( -1), 126681175, 720226795, 856467969, 498110351, 299037281, ( -1), 153855350, 384299492, 238611385, ( -1), 295502199, 780020221, 736823752, ( -1), ( -1), 63228326, 924675417, 651006760, 716819504, 8834850, ( -1), 280434587, 851953396, 258784187, 416413810, 967777338, ( -1), 736987138, ( -1), ( -1), 722654610, 337728512, 187187644, 620019783, ( -1), 894771318, ( -1), 780860750, ( -1), ( -1), 678031238, 564100155, 764610479, 749820414, 30364695, 288963205, ( -1), 310957422, ( -1), 871075012, ( -1), 501450229, 516181491, ( -1), 26214838, 576340752, 844956216, 465378406, 560672937, 186871447, 212683072, ( -1), 710144192, 80416168, ( -1), 686408028, 287392643, 608300146, 823509192, 987170677, 169570750, 389244060, ( -1), 397506238, 717995591, 621223012, ( -1), 730979097, 879143862, 303619236, 908918259, 962735894, 38707192, 319339063, 394273358, 409955539, 916374817, 553003541, ( -1), 928485666, ( -1), 308379232, 926648069, 297133076, ( -1), 153116820, 188686786, 746631224, 238128619, ( -1), 158605228, 765320105, ( -1), 854166670, ( -1), 486015367, 426389786, 776468380, 280131594, 185843383, 271051172, 613092900, 777360878, 289605266, 274653550, ( -1), 136620133, 411139592, 24936502, 454224353, 581685740, 699512411, 933497510, 159018602, ( -1), 132467976, ( -1), 384565236, ( -1), ( -1), 903801609, 135671914, 446545905, 251997802, 772561474, ( -1), 132255029, 392227960, 414217586, 171370922, 593121460, 576098022, ( -1), ( -1), 25125959, 453599674, 495798339, 76194446, 380266361, 610103531, ( -1), 855550232, 4093346, 334104581, ( -1), ( -1), 594764393, ( -1), 473643051, 765589650, 229294543, ( -1), 893304367, ( -1), 922665900, 511414927, 568423109, 364125986, ( -1), 509933976, 700424302, 197129332, 918443261, 54608337, 34730834, ( -1), ( -1), 95654491, ( -1), 872826440, ( -1), 624146840, 166424798, 968507769, 527478633, ( -1), 964581152, 263299573, 315512962, 183130905, 638155637, ( -1), 974480486, 687410660, 346517740, ( -1), 853974390, 674045826, 998159594, 146033627, 958733439, 403187363, ( -1), 7852763, ( -1), 109856899, ( -1), 161188415, 101833977, 74525, 941566353, ( -1), 253881968, ( -1), 52429699, 499798874, ( -1), ( -1), ( -1), 346055067, 113985500, ( -1), 545107985, 300628618, 465115790, 914227125, 501445512, 829329084, ( -1), ( -1), ( -1), ( -1), ( -1), 144849980, 965729266, ( -1), 82244874, ( -1), 29297992, 612975148, 397896129, ( -1), 85928456, ( -1), 938738697, ( -1), 361370286, 121213901, 5847386, 421630716, ( -1), 534627046, ( -1), 792150328, 442614072, 8085386, 942709780, 982014999, 832775708, 824295790, 644576475, ( -1), 249769642, 203313089, 791010905, 405360114, ( -1), 312890082, ( -1), 170039423, 344366690, ( -1), 355349220, ( -1), ( -1), 936145700, 887884723, 981688367, 485878010, 47423646, 407036035, 477127953, 809919962, 796009511, 557373881, 613748552, ( -1), ( -1), 903808565, 288158125, 109606371, 518096527, 246024320, ( -1), ( -1), ( -1), ( -1), 38453016, 688428920, ( -1), ( -1), 987556461, ( -1), ( -1), ( -1), 551412342, 818911825, 712018636, ( -1), 693714006, 623019263, 358941705, ( -1), 211133672, 791227838, ( -1), 463917915, 199791194, 146176243, 131197145, 6861259, 122832599, 254233923, 837852140, 309042657, ( -1), 566308859, ( -1), ( -1), 372838943, 251978271, ( -1), 216942305, ( -1), 933372019, ( -1), 183932981, 772604737, 908342759, ( -1), 279802472, 926901703, 699952034, 44409914, 179711043, 880139216, ( -1), ( -1), 613230349, 292531557, 460937240, ( -1), 643796253, ( -1), 862742662, 550314511, 797440787, 511805899, 30546739, 31480473, ( -1), ( -1), 916965575, 645730183, ( -1), 775496041, ( -1), 545725449, 144242281, 56411079, ( -1), 397517529, 39429157, ( -1), 750738887, ( -1), 792580019, ( -1), 48776670, ( -1), 715730532, ( -1), 929164700, ( -1), 370462699, 577342309, 296709198, 798510130, 457438152, 935513798, 409349971, ( -1), ( -1), ( -1), 304406909, ( -1), 563830311, ( -1), 187909131, ( -1), 940267619, 761749883, 187858176, 562354762, ( -1), 146086714, 370652586, 733688497, 446247149, 254684054, 581892424, ( -1), ( -1), ( -1), 794180869, 475530499, 246224521, 598584321, ( -1), 54869157, 829252461, 913518874, ( -1), 766025983, ( -1), 866119716, ( -1), 791372519, ( -1), ( -1), ( -1), 450234661, ( -1), 7621939, 476495445, 574045111, 292820561, ( -1), 697840351, ( -1), 373922270, 510834418, ( -1), ( -1), ( -1), 76383209, ( -1), 218701087, ( -1), 226098674, 110585740, 261561463, 571087857, ( -1), 143966372, 240120430, 378631945, 454794554, 424457952, ( -1), 137366440, 316497467, 839132201, ( -1), 857553893, 993459066, 365516574, ( -1), 750929149, ( -1), 641532752, 660757970, 365989331, 879040578, 476141143, 450680786, 899707649, 185158409, 894300074, 96164274, 158478868, 619356754, 924041892, 311288235, 675033044, 758883925, 888534243, 923489417, ( -1), 452757200, ( -1), 702549027, 657356053, ( -1), ( -1), 440082436, 908737381, 327968846, ( -1), 646614947, 205384609, ( -1), 153302864, 264663871, 556147216, 580387575, 831244683, ( -1), ( -1), 556772586, ( -1), 660165229, ( -1), ( -1), 991070669, 666522182, 898967135, 672553430, ( -1), ( -1), ( -1), 78551881, ( -1), ( -1), ( -1), ( -1), 128356073, 62186164, ( -1), 533456218, 391443005, 787655743, 185075192, 103344069, 894511173, ( -1), 721371381, 963700762, 593904040, 948883080, ( -1), 897807851, 47270914, 558834576, ( -1), 454928900, 801818862, 35547395, ( -1), 184963684, ( -1), 618272794, 2994905, 161145546, ( -1), ( -1), 116955914, 482130443, ( -1), 903590827, ( -1), 879371146, 444589646, 417914335, 847668942, 107121536, ( -1), 152172490, 935893516, ( -1), 625611190, 261209238, ( -1), 234739957, 67327774, ( -1), 209067203, 135763795, 403170616, 927976463, 320678611, 223000181, ( -1), ( -1), 79790514, 645868783, ( -1), 939068863, 276221474, 461486922, 757860356, 342948871, 888336809, 935282578, 812298068, ( -1), 362872453, 87864130, 96388786, ( -1), 653623962, 943237608, 758440324, 140705894, ( -1), 81443611, 263730183, 828828774, 771949856, 524803302, ( -1), 669195400, 428621073, 457871758, ( -1), 61046611, 165140018, ( -1), ( -1), 150142914, 985657813, 34023096, 330456013, 757715459, ( -1), 893434222, 906236695, 717617823, 595139627, 334309999, 360939174, 910674191, ( -1), 212070437, 120059977, 284773843, 93801877, 174490535, 795968692, ( -1), 44056181, 949858695, ( -1), 899901477, 9993021, 768673865, ( -1), ( -1), ( -1), 598467329, ( -1), ( -1), 152575612, 35295722, 114704105, ( -1), 388420360, 370666849, 183536734, 962739458, ( -1), 453280964, ( -1), 795959716, 866047869, 418477947, ( -1), 301487716, ( -1), 183808565, 515130004, 382335562, 966571689, 939428528, 976492612, 700249833, 842508514, 557249610, 631842681, ( -1), ( -1), 908793040, 265781288, 595443051, 620809660, 65395838, 873305803, ( -1), 33676826, 830522582, 791472874, ( -1), 804755594, 916260063, 781942848, 659054597, 355970217, ( -1), 932965731, ( -1), ( -1), ( -1), 614874656, 964360060, 551385241, 544878316, ( -1), 253475166, ( -1), ( -1), 326203679, ( -1), 233562809, ( -1), 285295950, 728495291, 98958512, 904952833, 442849652, ( -1), 356846216, 677254284, 43240550, 28558821, 588333562, 383428812, ( -1), 684796413, 140416847, 18488075, 347864614, 942008390, ( -1), 898494784, ( -1), ( -1), 313770110, 171623376, 466353891, ( -1), ( -1), 284350003, 324336192, ( -1), ( -1), 406918424, 721179808, 909645994, 221730991, 201343223, ( -1), 83076909, ( -1), 274230394, 450057143, 122030960, ( -1), 969635116, ( -1), 658915669, ( -1), 554409313, ( -1), ( -1), ( -1), 209859117, 360121029, ( -1), 827741093, ( -1), 543354716, 419837520, 858349767, ( -1), ( -1), 229332298, 13828963, ( -1), 819993976, 892674800, ( -1), ( -1), ( -1), 318519695, 728634678, 424452987, 701131298, ( -1), 547651737, 404991298, 336234361, 212198706, 566627917, 244601954, 784216327, ( -1), ( -1), ( -1), 458930931, ( -1), 365987581, 711763391, 930970607, 905893299, ( -1), ( -1), ( -1), 655183541, ( -1), 194939546, 702525517, 214579347, 513279993, ( -1), 267840130, 973700785, 456685636, ( -1), 71729470, 829620837, ( -1), ( -1), 951868889, ( -1), 990834199, ( -1), 10928431, ( -1), 525249085, 151047293, ( -1), 818191476, ( -1), ( -1), 854731625, 481462743, 741979543, 680345572, ( -1), ( -1), 269194904, 687780004, 895491207, 454360985, 609362456, 867826088, 272046177, 438772504, ( -1), 888528713, ( -1), 673874025, 528137693, ( -1), 899089268, ( -1), 898164179, 451162857, 863234990, 480965684, 861031143, 962023601, 627800254, 783730984, ( -1), 35021752, ( -1), 47357012, 900435683, 499594208, ( -1), ( -1), 178089106, ( -1), 388773542, 286327867, 84733935, 53081551, 820581052, 520040959, 921050807, 503488303, 614876752, ( -1), 185047067, ( -1), 792052991, 667559971, 274431828, ( -1), 933541412, ( -1), 403010084, 244973264, 943694862, 243163345, ( -1), 819733977, 367048680, ( -1), 618976886, 414006536, 962261936, 971082624, ( -1), ( -1), ( -1), 935565305, ( -1), ( -1), ( -1), 181525852, ( -1), 947273261, 742325648, 610009147, 316497004, ( -1), 34006794, ( -1), 710271806, 97612472, 398199557, 586658040, 300987805, 889836314, ( -1), ( -1), ( -1), 686326113, 875461330, 263021139, 606555624, 516777755, 126419482, 99864539, 922659674, 412915984, ( -1), 729212506, 939975539, 101494703, 110551476, 335365357, 232720344, 810827658, 450764221, 325678664, 402664615, 228144073, ( -1), 585663013, 348848193, ( -1), 932034975, 850893157, 872361230, 662027554, 913817878, 510114317, 88416855, 471235084, 558662077, 140744999, 220260512, 366583004, ( -1), 391486397, ( -1), ( -1), 353364394, ( -1), 458069582, ( -1), 521351973, 362507719, ( -1), 477432609, ( -1), ( -1), 882734049, 307968838, ( -1), 868611143, 853910387, 725056034, 214193480, 934143416, 199460824, ( -1), 961752157, ( -1), 78086689, 567982510, 668564030, ( -1), ( -1), ( -1), 284793529, ( -1), 522717504, 459768489, 770043413, 579758348, 810183181, 86446489, 734631406, 542401247, 666696983, ( -1), ( -1), 804948207, ( -1), 930939922, 300682653, 860422079, 278405506, 283491502, ( -1), 408810552, ( -1), 22295945, ( -1), 108149468, 950784179, ( -1), ( -1), ( -1), 866177258, 824129479, 326279006, 730454293, ( -1), 247299168, ( -1), 445652580, 189020269, 214993153, 655493598, ( -1), ( -1), 888712577, ( -1), ( -1), 992727186, 794396006, 612611968, 367162797, 208772475, 278468212, 653258828, 860332045, ( -1), 890260928, 907955201, 821639828, ( -1), 801666270, 917935254, 833436505, ( -1), 311843774, ( -1), ( -1), 571199292, ( -1), 849684176, ( -1), 125336901, 249327578, 974352299, 500932355, 182306518, 813798251, 456619489, ( -1), ( -1), ( -1), 365532533, 716244044, 205064243, 4350464, ( -1), 282884779, 908737266, ( -1), ( -1), ( -1), ( -1), 149126681, 142043684, 480162948, ( -1), 798324230, ( -1), 362241721, 20089937, 462262030, ( -1), 622245003, ( -1), 933451713, 184308384, 814078501, ( -1), 495671993, 456856426, ( -1), 252061041, 987196973, 802732689, 193820495, 709918116, 920925130, ( -1), 822369901, 904976459, 646376181, ( -1), 568557490, 447582373, ( -1), 661307273, 863254481, ( -1), 241997336, ( -1), 911883306, 125769191, ( -1), ( -1), ( -1), ( -1), 665617992, 332551070, ( -1), 971735081, ( -1), 249699296, 517036152, 302114882, 579532723, ( -1), 124309923, 39320077, 234495338, 406749803, 879009773, 283365508, 385228090, 327873715, 376754324, 413779638, 793011768, 954757435, 27039156, 905119916, 397783583, ( -1), ( -1), 92037673, 565006326, 848887311, 562527484, 307440265, 691030581, 73395703, 729473197, 642212010, ( -1), 389364072, 675282797, 590875127, ( -1), ( -1), ( -1), ( -1), 659962708, 851680044, 30014828, ( -1), 792319570, 917919811, 870391083, 230471499, 851972322, 238648539, 645545148, 599647828, 90425063, 528577648, 539573770, 584637127, ( -1), ( -1), 740240289, 481936737, 986383655, ( -1), 988598795, 143104285, 138097272, 479327576, ( -1), 203112344, 768000036, 731748940, ( -1), 986092811, 420667175, ( -1), 61792057, 312720982, ( -1), ( -1), ( -1), 210520990, ( -1), 499751531, 737844480, 729302825, 393982312, 596200119, ( -1), 396157081, 720852163, 65264993, 847183403, 275158489, 370876079, 978976204, 169768519, 946868032, 467151320, 441885072, 465874704, 478916677, 74534422, 844452962, 79397104, ( -1), 326962029, 193641523, 260632971, ( -1), 429830458, 139986423, 569312034, 667899268, 217972697, ( -1), 984329054, 224728582, 526261110, 898483845, 16258229, 268095135, ( -1), ( -1), 985241260, 363127008, 384347075, 430847504, ( -1), 111162718, 617707578, 656346560, 48808603, ( -1), 212335430, 336574442, ( -1), 465393511, ( -1), 234617803, 340408141, 55460291, ( -1), ( -1), 161204620, ( -1), 665824231, 858325890, ( -1), ( -1), 115876309, 506960118, ( -1), ( -1), 391443836, 450902652, ( -1), 882071084, 182945681, ( -1), ( -1), ( -1), 428868892, 547753738, 97564537, ( -1), ( -1), 875268576, ( -1), 397654064, 99928801, 721504871, ( -1), 266258608, 149896668, 44246537, 102517032, ( -1), 263678473, ( -1), 510451433, 767814901, 598610548, 866452044, 814238040, 849178906, 1370356, 189652049, 750503379, 149693099, 299275906, ( -1), 975477144, 22386403, 702171508, ( -1), ( -1), 503382765, 586244249, ( -1), ( -1), 687400449, ( -1), 54837206, 847823168, ( -1), ( -1), 47772189, 286050805, 708291380, ( -1), 29401428, 358899144, 792672804, ( -1), ( -1), ( -1), 122739651, 275628192, ( -1), 133471963, 394829351, 987914632, 393935581, ( -1), 884999042, ( -1), 656282157, ( -1), 96682605, 308785268, 555760521, ( -1), 433329775, ( -1), 618175426, 322589061, ( -1), 793158874, ( -1), ( -1), 484736146, 424188409, ( -1), 319466504, 26504135, 777822364, 277125755, ( -1), 443140352, ( -1), ( -1), 957042387, ( -1), 69199061, 377839850, 172040508, 902863225, ( -1), 189907913, ( -1), ( -1), 91110012, ( -1), 446956112, 667926713, 677336891, 124022621, 271629150, ( -1), 158442278, 912116277, ( -1), 211320803, ( -1), 617346856, 909780373, 423150061, 989790302, 238862011, ( -1), 850295310, 746207487, 25841795, ( -1), 877384288, ( -1), 568997564, 773699549, 471412301, 638816867, ( -1), 593187193, 291007649, 462755977, 27720395, 87077980, 844570305, 950959492, 362269933, ( -1), 554600364, ( -1), 658682306, 878441907, 242847155, 657726004, 524468718, 231157859, 442249673, 525712928, 130172030, 438258290, 685917871, 726807701, 245449467, 421623290, 913925822, ( -1), 39463108, 652853651, 589466850, 72395374, 977474038, 900057224, ( -1), 296469771, 652655003, 581824550, ( -1), ( -1), 653110117, ( -1), ( -1), 409414960, 763089362, 628039030, 31235490, 774852061, 229611527, ( -1), 237694293, ( -1), ( -1), 772645166, 972315992, 745873278, 852220773, 675768037, 604123060, 191965453, 811532969, 84425417, 793244875, 578040569, ( -1), 312379441, 150298435, 616308271, ( -1), ( -1), ( -1), 773368125, ( -1), 837747064, 77268406, 648972887, 859260082, ( -1), 526215978, 492924615, 373206417, 275964981, 337372862, 524061897, 837659098, 920250697, 420964273, 381035330, 131858269, ( -1), ( -1), ( -1), ( -1), 924920198, 715360884, ( -1), 100810199, 322675032, ( -1), 562757010, ( -1), 800884387, 306010993, 495380762, ( -1), ( -1), 902256039, 590122516, 426469533, ( -1), 808202669, 750141163, 349724411, ( -1), 2207798, ( -1), ( -1), 112134512, ( -1), 628407085, 751419895, ( -1), ( -1), ( -1), 784699766, 721071222, 332039918, 729116935, 60324052, 517788021, 658015979, 730751987, 438407894, 590952111, 168447001, 32581645, 104676597, ( -1), 249693484, ( -1), 588506452, ( -1), 258723063, ( -1), 963317687, ( -1), 974368451, ( -1), ( -1), ( -1), ( -1), 757530344, ( -1), ( -1), 167695399, ( -1), 27466276, 156356659, 949308552, 351750673, 37256873, 8697195, 822196936, 76614764, 222291535, 868936013, ( -1), 740161186, 242433283, 687356333, 271188215, 895402732, 787625919, ( -1), 727111155, 468615716, 469800418, ( -1), ( -1), ( -1), 903100284, ( -1), ( -1), ( -1), 460577113, 644109251, ( -1), ( -1), 728687383, ( -1), 783415751, 271147254, ( -1), 271115426, ( -1), 523486821, 123570201, ( -1), 428542271, 440388596, 742840789, 84638420, 926512866, ( -1), 205472292, 174076679, 37474833, 439345776, 583757564, ( -1), 43911580, 715912506, 53479501, 886851339, ( -1), 352555584, 239000350, ( -1), ( -1), 885789035, ( -1), ( -1), 675648997, 290440657, 907886756, 540272163, ( -1), 426946546, 111376105, 692386540, 574506696, 948498363, ( -1), 309048897, 19445269, 615235036, 134887119, 486484923, 378901341, ( -1), ( -1), 169325116, ( -1), 11457230, 645499910, 539415844, ( -1), ( -1), ( -1), ( -1), 388299946, 73032288, 301375254, 828903948, ( -1), ( -1), ( -1), ( -1), ( -1), 449242243, 482068467, ( -1), 610108974, ( -1), 841431928, 870357313, 629420445, ( -1), 79769328, 828118271, 414697291, ( -1), ( -1), 766705659, ( -1), 386754158, 37214716, 601636007, 937333913, 145253709, 744964050, 409419705, 914934925, 166996819, ( -1), ( -1), 195590384, ( -1), ( -1), 54596814, ( -1), 935049655, ( -1), 38297689, 47331465, ( -1), 380328497, ( -1), 289393221, 823377273, 352982982, 102654458, 408839676, 873355326, 866116751, 59335573, ( -1), 443155158, 297011155, ( -1), 555767274, 789277079, 631994410, ( -1), ( -1), ( -1), 923154199, 534063834, 801553246, ( -1), 245445619, 14562228, ( -1), 379172072, 55279684, 622908451, 363058247, ( -1), ( -1), 788265981, 719859380, 71893094, ( -1), 612220615, 861122704, 752413459, ( -1), ( -1), 595858870, 86780527, ( -1), 390029847, 506075742, ( -1), 525977959, 37423710, 343387007, ( -1), 774640508, ( -1), 506866484, 219546497, 432639634, 444984313, 996222953, 928242438, 325242155, 54282066, 573700626, ( -1), 892815168, 517321283, 459705568, 939184375, 580717385, 888624040, 940814051, ( -1), ( -1), 240873061, 157135473, 649003946, 585482404, ( -1), 38700646, 991692768, ( -1), ( -1), ( -1), 777900418, 42338438, 877562960, 359752754, 81063522, 876924806, 204808761, 178847383, 177872011, 973774756, 752316300, 989739997, ( -1), ( -1), 474531671, 594363359, 133807097, 625139071, 834817988, ( -1), 310787534, 741623766, 408605531, ( -1), 546853594, 155342530, 883826251, 138128581, 626816036, ( -1), 713993607, ( -1), 811527819, ( -1), 284322212, 178048029, 951130143, 915909713, ( -1), 32123105, 831367633, ( -1), 844188513, ( -1), ( -1), 582189456, 153401050, 291026641, ( -1), 45441863, 989351232, 411613833, 954324932, 348602503, 721764060, 921405744, 517476733, 35514625, ( -1), 434308515, 516988590, 236341553, 437923507, 425715959, 860185907, 739005327, 821392113, 150883872, ( -1), ( -1), ( -1), ( -1), 197421541, 532005809, ( -1), 160642105, 851886692, ( -1), 574831766, ( -1), 942454344, ( -1), 13153399, 596506064, 75180468, 593644518, 501579723, 529690907, 475494877, 221918053, 331842445, ( -1), 914753962, 383716049, 813199191, ( -1), 338901310, 196658161, 878868004, 844295912, 924297014, 885188252, 453541727, ( -1), 268127613, ( -1), 350115841, 887851836, 494880954, 342613184, 343587184, ( -1), 41295236, ( -1), 915132660, 774984027, ( -1), 155219212, ( -1), 427792018, 801334149, 622680974, 978994713, 229317479, 409131358, 612531152, 152987047, 209440718, ( -1), ( -1), 188110023, 965969210, 294776670, 608874918, 417516852, 471036206, 849910629, ( -1), ( -1), ( -1), 954465114, ( -1), 754111033, ( -1), 832353194, 977664216, 1076655, 164609105, ( -1), 517883165, 394869474, 395378503, ( -1), ( -1), ( -1), 890127467, 180214880, 406897719, 584956757, 103298044, 163402304, ( -1), ( -1), ( -1), ( -1), 622695498, 195266082, ( -1), 924543659, ( -1), 162678578, ( -1), 617435547, ( -1), 774350247, 651955092, 333975853, 40398123, 467917577, 330791071, 735480746, 10460842, 972684260, ( -1), 142937527, 316622982, 303989000, 205067784, 148520165, 26728329, 875938943, ( -1), 675730947, 395196068, 984876629, 663928051, 737459952, ( -1), 348131961, 84909051, 535462450, 581237356, ( -1), ( -1), 183490800, 111315346, ( -1), 935915168, ( -1), 686105526, 160007209, 233378567, ( -1), ( -1), 157960751, ( -1), 454629550, 69819857, ( -1), ( -1), 957325671, 825947451, ( -1), 165958697, ( -1), 218731828, ( -1), 141856793, ( -1), ( -1), 983698409, ( -1), ( -1), 377504092, 83727294, 466332194, ( -1), ( -1), ( -1), 440716797, ( -1), 318454057, 43447001, ( -1), 107806370, 508865843, 572728748, 960564880, ( -1), 248351166, 109571187, 801037173, ( -1), 882457439, 931395880, ( -1), 4836039, ( -1), 509256740, 685685438, 827478208, ( -1), 89777544, 940746089, ( -1), 775875672, 62308195, 787900586, 960653837, 345669289, ( -1), 522042706, 898515491, ( -1), 843135002, ( -1), 338603434, 523684997, 101141935, ( -1), ( -1), ( -1), ( -1), ( -1), 231795962, ( -1), ( -1), 655701430, 756199619, ( -1), 30604585, 308661431, ( -1), 676847193, 416701347, ( -1), 876308192, 383712718, ( -1), 303397058, 967045131, 860823011, ( -1), 998442005, 292223943, 412773998, ( -1), 33959035, 117708257, 781420909, 904395468, ( -1), ( -1), ( -1), 967388805, 951918223, 584171305, 245958935, ( -1), 461878531, ( -1), ( -1), 429456282, 983084265, 141434038, 836392864, 521225582, 201164500, 353639657, ( -1), ( -1), 704862204, ( -1), 726302681, 67337483, ( -1), 347836703, 746590008, 950709939, 125827188, 46407991, 54424838, ( -1), 852770416, 929295356, 696720773, 388226124, 599876674, 613531882, 957747425, 633098527, 599278534, 516125920, ( -1), ( -1), 699905150, 870210041, 867148137, 849587572, 179521166, ( -1), 819760823, ( -1), 687887974, 151083853, 802574230, 287282022, 440647064, 229861535, 167899849, ( -1), 10114058, 80299687, ( -1), 901388469, 777208147, ( -1), ( -1), ( -1), 674602739, ( -1), 531056502, ( -1), ( -1), 731313989, 846429441, 971446775, 344089835, 38232531, 572001253, 405000445, 900322579, 117440321, ( -1), 553092823, ( -1), ( -1), 380313257, 652136114, ( -1), ( -1), ( -1), ( -1), ( -1), 64757228, 10815135, ( -1), 362057911, ( -1), 970242482, 383472103, ( -1), ( -1), 441649829, 644374927, 741277061, ( -1), ( -1), ( -1), 944903355, 696855485, 429153313, ( -1), ( -1), 520892500, 311051984, 370715919, ( -1), 410739399, 453689252, 197310797, 64955140, 516543389, ( -1), 752422172, 584424926, 357036124, ( -1), ( -1), 550758710, ( -1), 291383402, 816401856, ( -1), 447084353, ( -1), ( -1), 410250603, 785601335, 81730202, 186629723, 606064429, 528321749, 377723179, ( -1), 407293918, 826902264, ( -1), ( -1), ( -1), 239060642, ( -1), 129673544, 832575194, ( -1), 82769560, 417179906, ( -1), 795091046, ( -1), 144974904, 844915704, ( -1), 314396739, 455152217, ( -1), 439747557, 112261058, 749231938, 242612786, 956375211, ( -1), 697628480, 48642742, ( -1), ( -1), ( -1), 277001578, 640062724, 396793848, 647520301, 758171479, 570300877, 844717951, 900923823, 560199215, 407525446, 253405058, ( -1), ( -1), ( -1), 740548676, ( -1), 407496348, 794473190, 355069154, 35937936, 795769645, 974576755, ( -1), ( -1), 231976592, 676652531, 29327352, 52581308, 304533889, ( -1), 390548427, 248897130, 642041294, 740823007, ( -1), 280801752, ( -1), ( -1), ( -1), 303062799, 736788210, 161495387, 803161916, 589149519, ( -1), ( -1), 428847507, ( -1), 787204380, ( -1), 443371805, 205774996, 828769645, 553287818, ( -1), 257761659, ( -1), 357261844, 185103745, ( -1), ( -1), 74397631, ( -1), 498949041, ( -1), 331741160, ( -1), 591126975, 681072474, ( -1), 220413166, 88885050, ( -1), 568429197, 37654239, 374354361, 373295652, 41634720, 749686448, 980375321, 624217370, ( -1), 468026284, ( -1), 455499995, 625806533, ( -1), 950061275, 597958902, ( -1), 200928444, 202314924, 479677053, 84264290, ( -1), 253361559, 151314995, ( -1), 347287091, 525679539, 834248312, ( -1), 717835191, 23219952, 683386012, 593031437, 538750360, ( -1), ( -1), 654999414, 157801673, 725489765, 620565834, ( -1), 910922821, 331608630, ( -1), 870328237, 178955727, 788338212, ( -1), ( -1), 218349642, 614686067, 613918606, 458103666, ( -1), ( -1), 565289868, 436729517, 355420847, 959718409, ( -1), 414854136, 390794337, 430825885, 160658, 616510357, ( -1), 511846161, 140099878, 410272522, 218449623, 520027572, 886707213, 713921052, 23244216, 571733838, 646494032, 260881867, ( -1), 394849197, 964705139, 46424228, 816859916, 801584744, 525578520, 245007841, 269650177, 422978084, 8020595, 339484599, 959545944, 478818381, ( -1), 837171645, 17705430, 546424264, ( -1), 442616681, 872429888, ( -1), ( -1), 22299515, 574891728, 424099701, 901090466, ( -1), 121993872, 645383410, ( -1), 861339441, ( -1), ( -1), 49086123, 113768303, 968048332, ( -1), 132926373, 142025141, 132250157, 961224394, ( -1), 824785822, 814369710, 780803365, 739860910, 454332231, 671498494, 153092620, 548425969, ( -1), 470868579, ( -1), 46031068, ( -1), ( -1), 865609126, 920724966, 781867953, 671208006, 45440021, ( -1), 208075271, 204901344, 486805707, 501206966, 125219484, ( -1), 349567859, 613798846, ( -1), ( -1), 323842954, 476310834, 798570892, 725959483, ( -1), 977350377, 108729270, ( -1), 478537823, 86607394, ( -1), 911185680, 869547211, 962485635, 148154531, 146257126, 945168882, 829130551, ( -1), 346343548, 945171098, ( -1), ( -1), ( -1), 896723696, 607258343, ( -1), 7220789, 922461975, 624512917, 118488781, ( -1), 156293866, 580671981, 84560207, 380498713, ( -1), ( -1), 727368610, 378262248, 239949188, 456542319, 860777281, 720490675, 679495732, 420962877, 771673035, ( -1), ( -1), ( -1), ( -1), 824048978, 761117726, 928494350, ( -1), 645776231, 3605148, 533445205, 23049934, 456200477, 928735944, 183473438, ( -1), 539404550, 608130329, ( -1), 854347254, ( -1), 227700070, 776220724, 838464335, 60385908, 406881744, 33076814, 350602737, 357696931, 635201127, 744720900, 754170094, 597225557, 738059698, 942531205, 6496527, 129945274, ( -1), 164412624, ( -1), 151208569, ( -1), 24777553, 296825775, ( -1), ( -1), 333322608, ( -1), ( -1), 695035808, 494683066, 657834752, ( -1), 843148412, 559470351, 553799186, ( -1), 877173575, 107828006, 490991865, 761018722, 821946646, 910018943, 207560996, ( -1), ( -1), 788672012, 115786851, 21921534, ( -1), 30542, 827687335, 974079585, ( -1), ( -1), ( -1), 775422383, 218273393, 708693538, 729720114, 470139255, ( -1), 793860601, ( -1), 15698659, ( -1), 665558331, 262333177, 271144908, 318737139, 993417149, 599865692, ( -1), 223965035, 501444487, 37727299, 123700688, 820367741, 317724129, 194681356, 814147562, 571893027, ( -1), 164250943, ( -1), ( -1), 735609473, 881715318, 983860914, ( -1), ( -1), 853037590, 138121034, 729530457, 979750279, ( -1), ( -1), 676999854, ( -1), 452818622, 216898543, ( -1), 447829138, 309146846, 736394022, ( -1), ( -1), 642281810, ( -1), ( -1), ( -1), 650489394, 460569890, 210847161, 970049512, 166131391, ( -1), ( -1), 435455129, ( -1), 788571325, ( -1), ( -1), ( -1), 453374025, 567950738, 358314538, 647098701, 28434087, 185667936, ( -1), ( -1), ( -1), ( -1), 593354120, ( -1), 951924721, ( -1), ( -1), 355557310, 662346844, ( -1), ( -1), 548547264, ( -1), 635405986, 68580983, 300483081, ( -1), ( -1), ( -1), 99319130, 410314503, 220715468, 730588542, 586000552, ( -1), 940487911, ( -1), ( -1), 834597568, ( -1), 621988259, 171894204, 135555272, 702914711, ( -1), ( -1), ( -1), 509477145, 683171134, 66691212, 658907355, ( -1), 11298837, 364661712, 406392663, 990916304, ( -1), 636389579, ( -1), 733391483, ( -1), 221692315, 482155485, ( -1), 276586033, ( -1), 947355114, ( -1), ( -1), 138172965, 986301708, 578187886, ( -1), 744942976, 357985927, ( -1), ( -1), ( -1), 847223831, ( -1), ( -1), 499905033, 177550850, 78938726, 982552709, 733665581, 833474418, ( -1), 276022463, ( -1), 176013180, ( -1), ( -1), 193341841, ( -1), 114073684, 361084679, 942869993, 719159991, ( -1), 207374014, 16991991, 461647865, 483488868, 10484590, 262201815, 56322248, 174591289, 734912665, ( -1), 126288184, ( -1), 230907821, 797665573, 821606370, 383579966, 495702087, 899397177, 617373639, 816623809, 503118722, 223184467, 559438010, 162801469, ( -1), 378101191, 307541617, 902524816, 28512789, 984122991, 852567655, 150199701, 453914914, 867545613, 914606078, 784836408, 748445504, 736938288, ( -1), 227193863, 773412510, 562102181, 881333643, 920819653, 268662897, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 787993647, 572471408, 111534199, ( -1), 356495237, ( -1), 244123690, ( -1), 339272761, 459213821, 732075515, 192878273, 621400941, 985987173, ( -1), 8452800, ( -1), 981308800, 368164459, ( -1), ( -1), 727046809, ( -1), 955454750, 333108391, 601468664, 110333915, 464213071, 462346304, 20216021, 123543434, 253950602, 746640422, 381039212, 578289757, 563301585, 640590397, ( -1), 370695018, ( -1), ( -1), ( -1), 802471155, 545215228, 821914704, 676859303, 399970595, 349875244, 550845554, 642955142, 658992599, ( -1), 741998173, 778283299, ( -1), 382651258, ( -1), ( -1), ( -1), 225675555, 685157893, 468214628, 647101316, 749790383, 654635342, 260131584, 341473874, ( -1), ( -1), ( -1), 616538315, ( -1), ( -1), 643321334, 267536015, 489966136, ( -1), 408950351, 692702476, 896012433, 38462760, ( -1), 71909058, 597533074, ( -1), 328541242, 431382543, ( -1), ( -1), 560285965, 734143770, ( -1), 221570424, ( -1), 139534872, ( -1), 245288297, ( -1), 307538820, 573997892, ( -1), 228121578, 721648546, 934399125, ( -1), ( -1), ( -1), 601640096, 382299588, 234612104, 673837299, 998900762, 476312812, 435763737, 387110187, 782468452, ( -1), 921519200, 982713378, 156795733, ( -1), 922682681, 588120703, 548649082, ( -1), ( -1), 757692117, 412260598, 594911889, 451372855, ( -1), 751408470, 544671055, ( -1), ( -1), 631895154, ( -1), 156661679, 853168283, 494434485, 869039825, 655461491, ( -1), 625981566, 56408463, 62350957, ( -1), ( -1), 804861130, 563260675, ( -1), 985334159, 977887995, 243588319, 887349938, 147290841, 323841739, 757613029, 843109536, 558071499, ( -1), ( -1), ( -1), 317944624, ( -1), 49089491, 608333017, ( -1), 346487745, 977188945, ( -1), 85886148, ( -1), 400110522, ( -1), 914909915, 360103024, 286340464, 510342987, 96463465, 187652901, 859720288, 642829026, 893170112, 322762511, ( -1), 337823585, 339693512, 527432097, 185947934, 569547698, 531101290, 907671067, ( -1), 988202254, ( -1), 482850438, 531947040, 291601813, 753367292, ( -1), ( -1), 306950948, 207861766, ( -1), ( -1), ( -1), 103772800, 457667664, 996584023, 934244550, 657002109, ( -1), 721467731, 332973383, 666585508, 987794621, 597046557, ( -1), ( -1), 713073106, ( -1), 177300927, 487540195, 457302695, ( -1), 425682472, 173256634, 199006074, 615071764, 444610733, 207826020, 392589184, ( -1), 347939708, 976095838, ( -1), ( -1), 975032012, 346336914, ( -1), ( -1), ( -1), 287148676, 324991822, 520673367, 331840294, ( -1), ( -1), 649202558, ( -1), ( -1), 616799456, 86871010, 660099778, 457089135, 800710897, 400874249, 887969982, 444217324, 521432609, 640720604, 296049154, ( -1), 461595871, ( -1), ( -1), 887426619, ( -1), ( -1), 668590111, ( -1), 283501144, 379587108, 893281108, 890498034, ( -1), ( -1), 659747546, 775567589, 418430527, 319222995, ( -1), 598430992, 686607608, 600853313, 842087204, 421263392, 387102854, 860001216, 462322639, 926018482, ( -1), 328387784, ( -1), ( -1), 465636844, 972009588, ( -1), 504056650, 632306443, ( -1), 414219834, ( -1), 793141920, 739534021, ( -1), 971984928, 324644497, 688051436, 591031385, ( -1), 255651476, 505619235, 838576329, 985053244, 233513149, 456246755, 261419583, 607891747, 76841696, 786715029, 507261573, 411625924, ( -1), ( -1), 604216411, 341555174, 685109201, 666298134, 275829006, 617927317, 811122952, ( -1), 83099152, 364365500, 50387703, 208008307, ( -1), 513998203, 432927899, 687181269, 204266749, 184490230, 230135168, ( -1), 515503568, 19222486, 727362392, 866269759, 13943765, 106455930, 604781540, 2306021, 571356343, ( -1), 639293008, 590401369, ( -1), 42144392, 823697447, 314429061, 509365244, 418115696, 868298521, 124417812, ( -1), 801053153, 991812482, 106589614, 956109267, 487749962, 254354975, 674928796, ( -1), 923033533, 637798263, 567940499, ( -1), 293336211, 403487484, 254272329, 890743708, 901712429, 187498431, 794197626, 507075081, ( -1), 349987585, 96042120, 654771126, ( -1), 593810423, ( -1), ( -1), 373728771, 219495011, 511261509, 130287758, 756058778, ( -1), ( -1), 477966901, 499018759, ( -1), ( -1), 249157794, 302042082, ( -1), ( -1), 784064820, ( -1), 944471210, 443352892, 262126744, 396440001, 20563515, 136422129, ( -1), 25561183, 555829553, 142860686, ( -1), 263448232, 124375397, 979441495, ( -1), 983510880, 726341282, ( -1), ( -1), 903878138, 582104749, 686527206, 961608357, ( -1), ( -1), 366878337, 179407932, 966825960, 159271074, ( -1), 495400633, 335183692, ( -1), 446600339, 598278644, 896059000, 17914758, 131745022, ( -1), 68694666, 53449463, 113350214, ( -1), 2000557, ( -1), ( -1), 314893743, ( -1), ( -1), 157203207, 48957006, 377495457, 170120369, 627297074, 987356902, 317506392, 10873799, 969186771, ( -1), 979451654, 203447652, 33486763, 224699038, 775604908, 122640735, 622511256, 17938063, 46166545, ( -1), 107962429, 399963376, ( -1), ( -1), ( -1), 4945483, 389932131, 962405292, ( -1), ( -1), 583881412, 456006430, 546370346, 326232547, 509512969, 13001188, 641989320, 409000565, ( -1), 632904478, 788604484, 498698203, 701597050, ( -1), 505673035, ( -1), ( -1), ( -1), 274650307, ( -1), 923415975, ( -1), ( -1), 562904176, ( -1), 47257071, 343367749, 329905683, ( -1), ( -1), 232082455, 295775531, ( -1), 997051959, 739549795, 318079861, 922138672, 996794468, 676580360, 557950159, 962136543, 471843557, ( -1), ( -1), ( -1), 323328990, ( -1), ( -1), 163316160, ( -1), 259374943, 924795420, ( -1), ( -1), 696816325, 192720082, 988566627, 300470509, 183777182, 324768060, ( -1), 510420849, ( -1), 899439596, 652690473, 3361485, ( -1), 773824047, 721579430, ( -1), ( -1), 817547509, 403594213, ( -1), ( -1), 441206102, 192603630, ( -1), ( -1), ( -1), 664445365, 347763558, 363735969, 277245871, 646698525, ( -1), 159774623, ( -1), ( -1), 307493769, 930413508, 777550876, 822520759, 505977601, 922962706, ( -1), 280663197, 534439917, 406403403, 128999306, 517047815, 131599202, 646476624, 843794737, ( -1), 57135735, 729184126, 195684323, ( -1), 944378748, 285635278, 714373323, 69705322, 73904996, ( -1), 535782345, ( -1), 242837641, 389332751, 372972647, 454429907, 487553718, 596787798, 637258953, 112403967, 725845706, 331447473, 359319467, 695158733, 247791203, ( -1), 558428923, 634769030, ( -1), ( -1), 740484728, ( -1), 461069939, 508444133, 476768925, 146515275, ( -1), 945764281, ( -1), 409861170, 703233379, 449188338, ( -1), 254628171, 895341245, 30484909, 911956067, 614405325, 772959897, 715528805, ( -1), ( -1), 240115040, ( -1), ( -1), 783218432, ( -1), 901561733, 3630246, ( -1), ( -1), 597667299, 717298298, 402479809, 215604305, ( -1), 376124774, 78552803, 737336878, 476261673, 623444357, ( -1), ( -1), ( -1), 835213841, 830689861, 385324052, 375429023, 33538766, 328357178, 169052246, 38755922, 103757183, 591644933, 851980534, 285123098, 843114467, ( -1), 445447409, 302227855, 180519826, 843221114, 105243996, 984985482, 388103522, ( -1), ( -1), 484474223, ( -1), ( -1), ( -1), ( -1), 505102556, ( -1), 437416925, 507035141, ( -1), 347286442, 974201609, ( -1), ( -1), ( -1), 820134201, 603702892, 955005568, 427275169, 887692070, ( -1), 584336664, 848773559, 747895848, 303440481, 413740128, 28871801, 697392185, 784553589, 444074928, 945354135, 545572733, ( -1), 979252849, 610092316, 497577126, 936870547, ( -1), 971539239, ( -1), 109253180, ( -1), 570966789, ( -1), 331224899, ( -1), ( -1), 533368382, 906774390, 472227387, 771356113, 550310599, ( -1), ( -1), 187919112, 719763852, ( -1), 352720880, 843506606, 292558658, ( -1), 709778344, 338276422, 551820261, 361736217, 59887047, ( -1), 805936963, 577256853, 697589027, 480234214, 438336734, 145036961, 556640137, ( -1), ( -1), ( -1), 797630957, 581443226, ( -1), ( -1), 954810317, 988565863, 825334475, 584350674, ( -1), 950817643, 900019001, 124868262, ( -1), 161383426, 755979992, 639490188, ( -1), ( -1), 184037428, 249719427, 116992108, 838342275, 243299095, 25178820, 201306798, 434342115, 730650990, 239558119, 94716941, 887049160, 700018908, ( -1), ( -1), ( -1), 977185332, 61365033, 87313952, 226032092, 867775535, 945000117, ( -1), 312504208, 434286350, 218765583, 136010077, 447970677, 347887102, ( -1), ( -1), ( -1), 750958094, 504573131, 233894611, 830045101, ( -1), 180086140, 154766067, 590263854, 679305434, 195599101, ( -1), ( -1), 204617959, 123677863, 470619820, ( -1), 574704773, 855359592, 848400623, 613257489, 941018120, 696270709, 766558081, 100787916, 289319641, ( -1), ( -1), ( -1), ( -1), ( -1), 805184476, ( -1), 538810478, 302363950, ( -1), 59128518, ( -1), ( -1), 761781683, ( -1), 273709205, 136145626, ( -1), 250367206, 440679650, ( -1), ( -1), 900719777, 669340086, ( -1), 949469564, ( -1), 374186380, 126011330, 966083549, ( -1), 913845357, 935127664, 36117392, 679569404, 668786634, 543802688, 900742057, 363951704, 730670381, ( -1), 693921484, ( -1), ( -1), 964432033, 976134445, ( -1), 38864686, ( -1), 286390742, 22399728, 9091854, ( -1), ( -1), 462209786, 425808029, 750134761, 598180518, 392694117, ( -1), 409161976, 807282701, ( -1), 405956328, 48157070, 6468818, 362333786, 721334719, ( -1), ( -1), ( -1), ( -1), 760036723, 87338385, ( -1), 380307023, ( -1), 878340153, 55149310, 650029290, 860572659, 953094884, ( -1), 377467633, 87675466, ( -1), 905390623, 268126127, 597170007, 712344, 430423087, 725675226, ( -1), 639940099, 271716570, 399552061, 229057377, ( -1), 596660733, 11545624, 854474733, 346500569, 103165770, ( -1), 162729245, 13522187, 981006263, ( -1), ( -1), ( -1), 914260835, 945466715, 654311901, ( -1), 738085150, 555566158, 671788759, 345659875, ( -1), ( -1), ( -1), 839281577, 530258666, 722592589, 255782755, ( -1), 505888281, 103029136, 954529843, 43469840, 434328868, ( -1), 838433286, 254542722, 768144810, ( -1), 882300255, 434329565, 150208521, ( -1), 599276650, ( -1), 258661155, 604017383, 429859170, 645906550, 285770185, 5032542, 721468542, 529720600, ( -1), 642853727, 226339340, ( -1), 715134186, ( -1), 426605025, 470538569, ( -1), ( -1), 994334466, 496884139, 579791804, 454571352, ( -1), 305322306, 997941855, ( -1), 511117211, ( -1), 631610238, 564467341, 940784787, ( -1), ( -1), ( -1), 131106565, ( -1), 289133537, ( -1), 580461618, 407851510, 208841966, 189576288, 516303393, 464683493, 330417187, ( -1), 235624508, 280507327, 859150296, 435781218, 978990235, 429424575, ( -1), ( -1), 960448012, 809651679, 784848366, 919194124, 744161249, 300569556, 315466879, 401957667, 924038248, 258470189, ( -1), 768825433, 575806525, 201971261, 189570813, ( -1), 794203805, ( -1), 177597089, 340662423, 512586044, 474819464, 138838019, 762897095, ( -1), ( -1), 925513246, 399869929, 865672080, 936382966, 806172826, 548080537, ( -1), ( -1), 387978801, 49205667, 393979350, 42666235, 834879824, ( -1), 438658836, ( -1), 468496196, 847810771, 850993107, 588819588, 749262036, ( -1), ( -1), 272387950, 64037163, 222775214, 833081771, ( -1), 847322955, 969200492, 832375308, 235613574, ( -1), 918848911, 950315663, 14370095, 103421671, 653162602, ( -1), 374602906, 167385293, ( -1), 338870976, 788047533, 169293146, 622914126, 486037792, 856380242, 748186867, 349536913, ( -1), ( -1), 416096506, 24972635, 968435968, 308290021, ( -1), 565121705, 136882642, 107990916, 477905853, 515238735, 335127307, 489768357, 540406112, ( -1), 265699587, ( -1), ( -1), ( -1), ( -1), 371750318, 876008135, 422253090, ( -1), 924953631, ( -1), 467662199, 522100007, 121395687, 896191481, 889722151, 773385968, 28763822, 675314313, 509374608, 375357632, 455817699, 323955760, ( -1), 579915999, ( -1), 124590812, 781720958, 872068036, ( -1), 379320798, ( -1), 655078341, ( -1), 991205198, 745564607, ( -1), ( -1), 677938796, ( -1), 363131724, ( -1), ( -1), 628322794, 153907834, 914461268, ( -1), ( -1), ( -1), ( -1), ( -1), 316437846, 548547244, ( -1), ( -1), 465173992, ( -1), 771342275, ( -1), 125745251, 906636643, 441624750, 636783058, 643916237, 250690043, 701996799, 251167771, ( -1), ( -1), 744950585, 871627660, ( -1), 824972302, 15762486, ( -1), 111071391, ( -1), 541879954, 727473867, 723776421, 588049638, ( -1), 918532155, 320323425, 637359447, 174666901, 269758024, 261988448, ( -1), 983064605, ( -1), 802946217, 168642153, ( -1), ( -1), 433845916, 376273241, ( -1), 387621599, 177309319, ( -1), 324917779, 182927078, 745281265, 414507817, 383570022, 31286925, 731257217, 228833745, 653497853, 949088179, 673278282, 259776718, 822343775, 163503179, ( -1), 551874544, 482357836, ( -1), 282744080, ( -1), 478548255, ( -1), 419541666, 375913863, 372277399, ( -1), 675300528, ( -1), 743736292, 622247017, 252285945, 971882171, ( -1), 150424342, 422317108, 199076508, 507085613, ( -1), 169034667, 684772719, 959493580, ( -1), 851573207, 198578852, ( -1), 894465340, ( -1), 774303872, ( -1), ( -1), 545600154, 766634378, 324672478, 221256409, 76767918, 104139173, 225467198, 689227732, ( -1), 427047169, 743197507, 437103794, ( -1), 984989784, ( -1), 993324685, 756327037, ( -1), 669619665, 743746550, ( -1), 202669832, 886274260, 807549400, 533247466, 528986105, 283268316, 194921180, 784215788, 411073609, 832810187, ( -1), ( -1), 998449928, ( -1), 831885724, 948513595, 847803707, 387958553, 985626942, ( -1), 465550079, 119754573, ( -1), 973279143, 904537865, 92851481, 787722776, 921978643, ( -1), 62309077, 25575980, 463442755, ( -1), ( -1), ( -1), 894382236, 734985883, ( -1), ( -1), 813154913, ( -1), ( -1), 950732133, 893170402, 894777229, 478386321, 296151524, ( -1), ( -1), 187412447, 681048429, 437945141, 429278677, 280761253, 735017531, ( -1), 160583990, 365454889, 718870751, ( -1), ( -1), ( -1), ( -1), 468170449, 157019740, 871683114, 349676751, ( -1), ( -1), ( -1), ( -1), ( -1), 946999546, 439791140, 33163972, 615495003, 876210867, 305074351, 623891841, 177843536, 267229555, 200441916, ( -1), 243043119, 406014778, 530136310, 669979652, ( -1), 5392040, 821652671, 867370478, 796933880, 44142383, 556155109, 554395382, 983183791, 18689343, 328202593, ( -1), ( -1), 932166824, 942570476, 353515248, 203172591, ( -1), 120124298, 419281426, ( -1), 607878482, 601791813, 537530998, 102784777, ( -1), 274012144, ( -1), ( -1), ( -1), 615689019, 3469886, 561517852, ( -1), 385861492, 208221025, 829761256, ( -1), 217187549, 484202713, 378499227, 953345134, ( -1), 906618032, 273004679, ( -1), ( -1), 10597269, 209667596, 453542612, 735222750, ( -1), ( -1), 525879741, 896917021, 358182884, 780196199, ( -1), 662164860, 558175322, 287041827, ( -1), 322630771, 11490668, 89818426, 438371385, 660923469, 658775412, ( -1), ( -1), 802415807, 88461363, 52962019, ( -1), 127088220, ( -1), ( -1), ( -1), 968862412, 374151395, ( -1), 502710533, 312958332, 638050003, 123850844, 451844153, ( -1), ( -1), ( -1), 937014991, 58409612, 378883086, 503731796, 744319590, 189814989, 751227920, ( -1), ( -1), 698380597, 11912510, ( -1), 894665633, ( -1), 302208194, 715305442, 208559354, ( -1), 172668452, ( -1), 394260877, 748899212, 807875753, 274045032, 70778178, 796238423, ( -1), 312357917, 600832143, 191024558, 318051695, ( -1), 282433962, 656245517, 712911134, ( -1), ( -1), 281754243, ( -1), 35051546, ( -1), 231792374, ( -1), 438500391, 336349191, ( -1), 28564313, 215200901, 933009563, 976377183, 36794023, 943010289, ( -1), ( -1), ( -1), ( -1), 584687270, 480768112, 174082756, 347837461, 849516742, 187812091, 43680272, 467913932, 846568626, 693807725, 814171661, ( -1), 630310603, 203139973, 731777653, 321793320, 733725041, ( -1), ( -1), 345814686, 502540267, 666767858, ( -1), 634376960, ( -1), 138202008, ( -1), 990430280, ( -1), 305301549, ( -1), 101531282, 897495414, 977244336, 923338805, 18067704, 991318989, ( -1), ( -1), 550779512, 975634592, 424228770, 5246707, 141893513, ( -1), ( -1), 722295941, 205102259, 3805121, 727989895, 204243477, 628847327, ( -1), ( -1), 729555265, 233933056, 363775194, 180156976, ( -1), 14634375, 691241398, 322326585, 918812371, 10200483, 851729398, 189567523, ( -1), ( -1), 558801170, 291978353, 184646243, ( -1), 653400894, 61846240, 964387158, ( -1), 272651388, 280739656, 409856869, 273794411, 942778669, 551130598, 617122917, 515945843, 917097214, 672333909, 61040125, ( -1), 963302758, ( -1), 562061447, ( -1), 20956777, ( -1), ( -1), 587499916, 568052624, 156297443, 223762078, ( -1), ( -1), 588038345, 399300206, 199318378, ( -1), 375094818, ( -1), 235680090, 257320597, ( -1), 336979533, 821210807, 560056931, ( -1), ( -1), 34329436, ( -1), 588434233, 577652448, 846935914, 467171599, ( -1), ( -1), 884845490, 990270661, 640269766, 708066269, ( -1), 921846940, 997188240, 485093610, ( -1), ( -1), 53366864, 280638008, 335580919, 548110421, 671086661, 4422215, 129584423, 135951691, 82030039, 170702456, 906833156, 251192521, 714922701, ( -1), ( -1), 95380853, 842560502, 231371255, 103277975, ( -1), 795428537, 135717395, 866039146, 501691614, ( -1), ( -1), ( -1), 6622591, ( -1), 973322694, 847504303, 464510612, 923288112, ( -1), ( -1), ( -1), 519131439, 280236111, ( -1), ( -1), 668386454, ( -1), ( -1), ( -1), ( -1), 894360318, 823962987, ( -1), ( -1), 98619155, ( -1), 900862943, ( -1), 52235327, 732620989, ( -1), ( -1), 800202354, 919605482, 870704917, 445006026, 962942014, 695314952, 524494448, 667457221, 142321993, 836680877, 959085645, 752667203, 365502565, 415667146, 501236797, 198900916, 310630102, ( -1), ( -1), 830218180, 424688008, 137309881, ( -1), 6203186, 539721403, 166482526, 516226725, 596676143, ( -1), ( -1), ( -1), ( -1), 38531786, ( -1), 812898711, 487538354, ( -1), 789536560, ( -1), 582617924, 518288788, 148501298, ( -1), ( -1), 920164710, ( -1), 2523385, 640311135, ( -1), 123636926, ( -1), 739126057, 48566799, 508917, 798185494, ( -1), 469971345, 12362735, 643199638, 532089739, ( -1), 89832895, ( -1), 849804146, 846665304, 700746478, ( -1), ( -1), 500935257, 647581201, 28897581, 819751388, 93534115, 329434336, 220733208, 825741615, 431325620, ( -1), 264963345, 217963448, 186979670, ( -1), 162620368, ( -1), ( -1), 481137804, 824560128, 145516225, 53850641, 735562000, 727210587, 106086110, 498290728, ( -1), 937906204, 522171683, 109019356, 247386478, ( -1), 169892518, 721993672, 622403631, 844469568, 197927009, 598761730, 870048628, ( -1), 761797472, 515274682, 345859747, 471247396, 923080089, 218396222, 248345478, 17670135, 828441007, 381012953, 428897681, 874292228, 839729819, 829020421, ( -1), 947263788, ( -1), 648133579, 758655329, 309595733, 879610471, ( -1), 437862639, 645653934, 208229317, 720577496, 638476398, ( -1), 285527353, 664303815, 394888124, ( -1), ( -1), 980234251, 728509368, 671144460, ( -1), 87960414, 167663532, 878774297, ( -1), ( -1), ( -1), 592094477, 230151443, 912508420, ( -1), 502664290, 529624995, 572040128, 345348840, 606992631, 482152047, 95795492, ( -1), 453616662, 648053811, 914060239, 891603958, ( -1), 867099369, 413274321, 606791224, 607530146, 41601409, ( -1), 596969045, ( -1), 191267791, ( -1), 812645590, 332555911, 222120044, 716444465, 248465163, 769198135, 491361766, 627285053, 870825857, 870817293, 140796467, 438249718, ( -1), 811332770, 917951972, 483049024, 374467481, 820945389, ( -1), 203847819, 955356685, ( -1), ( -1), 636930886, 789449194, ( -1), ( -1), 296820349, ( -1), 808694356, ( -1), 207031309, 229182911, 547938556, 855228295, ( -1), 428262386, 431267752, 917263143, ( -1), ( -1), ( -1), 124341039, 177677095, 119136238, 888928059, 391016434, ( -1), 748649819, 529374521, 406347668, ( -1), 519931861, 530370643, 892645544, 700901114, 330303392, 711061577, ( -1), ( -1), ( -1), 663967300, ( -1), ( -1), 253102063, 525726974, 782755156, 989968224, 356292806, 532227995, 879442915, 276998912, 40060615, 79174647, 377861651, 990869329, 773437323, ( -1), 763843126, 870153134, 836978208, ( -1), 951227627, 195492574, 313596420, ( -1), 752193436, 982463932, 792772273, 735910042, ( -1), 391242345, ( -1), 817133675, 336312900, 639147615, 417072788, ( -1), 951589157, ( -1), ( -1), 960258948, ( -1), 123291968, 727822001, ( -1), 502123299, 999639624, 162775757, 81393282, 538763521, 738996525, 941833054, 451233824, 74079412, ( -1), 131492198, 777381817, 658084123, ( -1), 619821906, ( -1), 244406024, 302490663, 869457199, ( -1), 386256221, 438096074, 352040003, 918139174, 160581544, ( -1), ( -1), ( -1), ( -1), 964927537, 439189574, 35863297, 342112520, 733800415, ( -1), 664033578, 112125197, 240255570, ( -1), 18701129, 967733246, ( -1), ( -1), 888192827, ( -1), ( -1), ( -1), 701086277, ( -1), 671024430, ( -1), 750339909, 142208412, 72561968, ( -1), 572567064, 886746974, 165443029, 402465587, 631896631, 28374007, ( -1), 119707159, 872301066, 882024680, ( -1), ( -1), 136159765, 568414333, ( -1), 536788000, 433730269, 579597807, 668380603, 873998918, 793362524, 516015036, 800171750, ( -1), 357844953, 117012551, ( -1), 479333333, 149618710, 631338634, ( -1), 968809524, 652616011, 471095299, ( -1), 89139492, 384460315, 36232193, 950440585, 469070546, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 803488845, 669550234, ( -1), ( -1), 34950803, 484243672, 426581578, 627418319, 107550242, 859339014, 632328134, ( -1), ( -1), ( -1), 896751651, ( -1), 655748177, ( -1), 351952553, 57726522, 81383342, 938962336, ( -1), 739798584, ( -1), 416381301, 311926229, 187622843, ( -1), 720720362, ( -1), ( -1), 581044084, 617005013, 959668438, ( -1), 574152242, 911328551, 882119520, 639188000, ( -1), 239201379, ( -1), 574372723, 484788993, 705227532, 20613112, 369232167, ( -1), 565664533, 203420049, 848443414, 152519829, 235268674, 987709731, 439995852, 199396375, ( -1), ( -1), 530897129, 753729560, 735281813, 374554921, 824170702, ( -1), ( -1), 386783841, ( -1), 475206889, ( -1), 707171051, 194855566, 524752059, 581388519, 721873579, 602804553, ( -1), 548944544, ( -1), 809572306, 180042529, 48761706, 191128404, 947598978, 179491998, 300040396, 178462609, 544394079, 351122609, 320384617, 347288013, 557174295, 252717601, 765874770, 490199352, 966428148, 369298520, 43193820, ( -1), 842604137, ( -1), 924462380, 695386055, 623315530, 30146681, 84478410, 604385115, 83322382, 796581802, ( -1), 218230668, ( -1), ( -1), 956861692, 664204640, 512762416, 940415900, 844026959, 929028038, 803891254, ( -1), ( -1), 549711565, 576597375, 989714600, ( -1), ( -1), 633234590, ( -1), 519376256, 698011309, 751587114, 550239693, 947344678, ( -1), 616525103, ( -1), ( -1), 621297254, ( -1), ( -1), 240535239, 959072334, 804610403, ( -1), 104578087, 598093678, 413730687, 656662190, 805873503, 110611134, 257321457, 564058726, 313503439, 634708277, 649867297, 694341216, 926076400, 622110794, 531385909, 69600619, 539740564, 293425798, 134059051, 10983954, 64205314, ( -1), 817467698, 630131000, ( -1), 624578383, ( -1), ( -1), 687690314, ( -1), 25221535, 666889982, 993466728, 468545804, 211230532, ( -1), ( -1), 250964538, 117467800, 290519538, 686909991, 611690885, 634187643, 985993622, 329479419, 888555398, ( -1), 428787597, 24616349, ( -1), ( -1), 527494295, 898595345, 301362436, 999014787, 759511822, ( -1), ( -1), 854229769, ( -1), ( -1), 223711626, 46117160, 896587455, 827946589, 59224890, ( -1), 859131466, 703863075, 588616479, 137983218, 226940535, 856889666, 488607681, 624435712, 324711869, 775824661, ( -1), 704622380, ( -1), 577820544, 37537996, 611285222, ( -1), 247926803, ( -1), ( -1), 323912520, ( -1), 109193715, 369139311, 76115775, ( -1), 899125218, 958094897, 603197351, ( -1), 108212281, ( -1), 807545101, 993513439, 535573524, 951268687, 119992089, 113361965, 245107361, 419030882, 815024896, 443941234, 877249951, 282733213, 341962202, 278962366, ( -1), 270774240, 112374955, ( -1), ( -1), ( -1), ( -1), 218586774, 510784989, ( -1), 669995914, 509705877, 169794823, ( -1), ( -1), 555441889, 841261190, 716544346, 349543220, 718203296, ( -1), 15634438, 850093115, 329107312, 582297297, 863445081, 49843996, ( -1), 490994186, 553362016, 943810391, 665440377, 227526481, 942658231, 601061163, 325894196, ( -1), 47025752, 688927763, ( -1), 766504719, ( -1), 138072491, 784388648, 757118733, 746380868, 415565299, ( -1), 569364133, 858788348, 822468723, 401912216, ( -1), ( -1), ( -1), ( -1), 461472244, 674811801, 120493806, 132771951, ( -1), 659780399, ( -1), 634154327, 138080452, 468484846, 614031950, ( -1), 624326027, 327889391, 529359345, ( -1), 884341146, 244611989, 365497509, 522674790, 352162723, 441627585, 284470432, 457593481, 217949523, 972123527, 553711229, 518270030, 225658772, ( -1), 315541078, ( -1), ( -1), 3907427, 622439137, 491353532, 547786852, 904888747, ( -1), 134732448, 179903340, ( -1), 3593998, 966089411, 713006719, 686691642, 701381312, ( -1), 340863649, 956435244, ( -1), 122922532, 769789054, 898365730, 50108144, 121851923, 70371410, 133871211, 710412147, ( -1), 430526034, 772385047, 420835237, ( -1), ( -1), ( -1), ( -1), 301556601, 949464307, ( -1), 649273390, ( -1), ( -1), 736072193, 416548546, 949262255, 391878009, ( -1), ( -1), ( -1), 830511836, 281803162, ( -1), 928196907, ( -1), 37426413, ( -1), 576552812, ( -1), ( -1), 679070176, 842856491, ( -1), ( -1), 245916227, 33520332, 653848798, 473103920, 818030863, ( -1), 616222829, 326822815, 833136420, 245053967, 753958188, 474528550, 610759834, 821175236, 609366434, ( -1), ( -1), 26064611, 183331968, ( -1), 605243850, 894265260, 563041829, ( -1), 524102438, 394292217, 544364230, 642431867, 243753698, ( -1), 740141513, 778365822, 201197752, 606243345, 479387516, ( -1), 798119669, 511486818, 244666112, 852347016, 342408295, 251256978, 443585388, ( -1), ( -1), 232930743, 532232595, 126998063, ( -1), 769475083, ( -1), 350223479, 183171776, ( -1), 585289094, 495406243, ( -1), ( -1), 31824217, 596666265, 487251997, ( -1), 705404585, 213268636, ( -1), ( -1), ( -1), 207800127, ( -1), 411369292, ( -1), ( -1), ( -1), 49402104, 885799056, ( -1), 217546087, ( -1), 599469474, ( -1), ( -1), 779305148, 78265456, 245263351, ( -1), 321755781, ( -1), 682530061, 113786048, 694757569, 932109126, ( -1), 278186163, 12818639, ( -1), ( -1), 401208626, ( -1), 33172125, 623524045, ( -1), 883051821, ( -1), ( -1), 896710855, 696716488, 258628510, 435924694, 853995125, 952399912, ( -1), 33567634, 191376585, 841941515, 857728292, 261980821, ( -1), ( -1), ( -1), 199768104, 698279224, ( -1), 62723873, 456886545, ( -1), ( -1), 351750554, 641933233, ( -1), 870483472, 326104738, 521344679, 649549053, 568996614, ( -1), 384736141, 599247176, 84398634, ( -1), 447106453, 784602935, 296311338, ( -1), 262202567, 547673199, 734901014, 520705095, 116231813, 385303190, 690105640, ( -1), 372176386, 600658630, 221335171, ( -1), 889931852, ( -1), 632340981, ( -1), 562253335, 789855937, 711611880, 540449231, ( -1), ( -1), 687266292, 266129171, 694482576, 830903878, 920791719, 86122393, 546945736, ( -1), 642376861, 535816611, 823096006, 77775317, 245984807, ( -1), ( -1), 147396085, 58525372, 277028231, 995467922, 874469416, 712693056, 385957152, 438281860, 437890827, 396709499, 382760074, 173855692, 23105363, ( -1), 734096127, 432035918, 893256216, 488799737, 675429321, 500068753, 966052695, ( -1), 300217337, ( -1), 347844336, ( -1), ( -1), 598108697, 482798711, 766149041, 958463707, 736845778, ( -1), ( -1), ( -1), ( -1), 242194142, 252892367, 259150952, 488341658, 475715010, 306136666, 660567455, 65594296, ( -1), 230487907, ( -1), ( -1), 750646035, ( -1), ( -1), ( -1), 782250494, 13580520, 349214089, 94372950, 73540723, ( -1), ( -1), 904152783, 289878456, 403463061, 360233531, ( -1), 904999737, 847901611, 207753812, 232958454, 977362733, 767961896, ( -1), 668003685, 174600926, 190531547, ( -1), 403157361, 337640248, 192582160, ( -1), 560944938, 936860359, 405445765, 819126710, 109933016, ( -1), ( -1), 637694128, ( -1), ( -1), 199348479, 747808495, 245413649, 611947176, 735329513, 42596840, 640738552, ( -1), 111549833, 747316728, 691079320, ( -1), 935521280, 891420028, ( -1), 498833397, 349651870, 369538253, 297393068, ( -1), ( -1), ( -1), ( -1), 678212285, 991549026, 468821658, ( -1), 759050715, ( -1), 542347803, 926734964, 370993999, 410420773, ( -1), 563614567, 851461300, 128865687, ( -1), 759202106, 297693452, ( -1), 701643286, 188425898, 684114378, 241530855, 454101554, 221167493, ( -1), 520201076, 916316886, 867794850, 330098010, 631094496, 178780734, 486759590, 916420345, 369387184, 803090844, ( -1), 307058960, 45165684, ( -1), 783992097, ( -1), 658566202, ( -1), ( -1), 445439502, ( -1), ( -1), 209643894, ( -1), ( -1), 810048293, 102631996, 62176434, 76500040, 377873298, 647086563, 614126892, 99207451, 23170012, ( -1), ( -1), 557101285, 873991573, 556168921, ( -1), ( -1), ( -1), ( -1), 45127920, 813519760, 356261004, 501271436, 453318904, 640938110, 600757345, 72051535, 570422614, 115769430, ( -1), 362813349, 752082430, ( -1), 162789051, 606347900, 91061320, 96344081, 749691832, 335647679, ( -1), ( -1), ( -1), 518340875, ( -1), 39261706, 188308093, 457864226, 537401602, 890557209, 350253654, 347836564, 713580960, ( -1), 562660014, 571307485, 468518234, 292525029, 309877691, 57639982, 20632313, 752550524, 915518940, 513752811, 868655792, ( -1), ( -1), ( -1), ( -1), ( -1), 820994505, ( -1), 924808004, 596149875, 459860705, ( -1), 470179908, 488361318, ( -1), ( -1), 997012543, ( -1), 595503217, 919600351, ( -1), ( -1), 978160980, ( -1), 196829556, 433764576, 379143140, ( -1), 882587227, 849466596, 634451322, 107701714, 894087373, 410905365, 955931796, 78336951, 453102022, ( -1), 470383734, 941607147, ( -1), 302687630, 159038784, 44418086, 874255978, 66305412, 251672458, ( -1), 310085377, 382061240, 434654153, 660962025, ( -1), ( -1), 166550651, ( -1), 356356642, 867214071, 546571695, 180429367, ( -1), ( -1), ( -1), 378463761, 672569340, 867559073, 142445154, 865439688, ( -1), 167618629, 389049339, ( -1), 460066575, ( -1), 770559611, 214078659, 272300326, 784401756, 895810363, ( -1), 57743209, 666045038, 508889618, 260996463, 58075661, 89011056, 619734278, 24516630, 571695568, ( -1), 283659923, ( -1), 344108659, 322480513, 949612124, 932280098, ( -1), 214317690, 224766675, 29770922, 599241002, 266983183, 72741227, 785737409, 177302071, 641391814, 238819420, 799783510, 3736192, 169671832, 416690783, 130486793, 860266429, 92626883, 128041463, ( -1), 261840342, 805972163, 793446689, 539021140, ( -1), 250204768, 972291993, 403612071, 512851822, 170505508, 111725804, 641951844, 667322533, 169725114, ( -1), 449878251, 782941328, ( -1), 62526858, 749653057, 200169695, 716378916, 380883396, ( -1), ( -1), 317203227, 620625495, 891750203, 571712797, 826739242, 11286686, 533959098, ( -1), 900434573, 336801379, 658562044, ( -1), ( -1), 990872268, 371689507, ( -1), 666666696, 241186521, ( -1), ( -1), ( -1), 61461104, ( -1), 181951954, 525436876, ( -1), ( -1), ( -1), ( -1), 983040795, 946309213, ( -1), 169991593, 448860974, 746976944, 896348653, ( -1), 257379596, 852923554, ( -1), 370274053, 796092782, 782978654, 856190314, 761741130, ( -1), 473814823, 788338289, 197093129, 849925405, ( -1), 308241930, 409817873, 670599324, 956516257, 301331688, 652859003, 480497043, ( -1), 316995158, ( -1), 147602621, 634862709, ( -1), 425170595, ( -1), 230731191, ( -1), ( -1), 402090593, 182545114, 579680612, ( -1), 522388401, 2720653, 2009724, 622337295, 74125768, 661041665, 743067153, 97576671, ( -1), ( -1), 821082753, 322272639, 80409471, 444476584, 566392594, ( -1), 694702243, 526447155, ( -1), ( -1), 230483679, 972383717, 145667109, 193929647, ( -1), 808582098, ( -1), ( -1), 228406274, 741382224, ( -1), 812973557, 99879389, 934085365, ( -1), ( -1), 406804504, 666827784, ( -1), 529816057, ( -1), 927563295, 619292311, 163353680, ( -1), 965722670, 842273163, ( -1), 484261917, 711052739, ( -1), 969015354, ( -1), 159056382, 696696793, ( -1), 457813473, 868539452, 233079324, 151835518, 728752233, 642986185, ( -1), ( -1), 428269730, 172854535, 758001117, 144412090, 803852847, 59866408, ( -1), 263339598, ( -1), ( -1), 897446450, ( -1), 311561639, 426226369, ( -1), ( -1), ( -1), 511597661, 322550329, ( -1), 700845253, 191287972, 981720408, 413640228, 192656261, 742735301, 408093363, 309683098, ( -1), 314803720, 714250801, ( -1), 112626622, 29834366, 23489680, 828087951, 189911144, ( -1), 681276071, 603579553, 529408428, 304665677, 180743812, 694179395, 996847517, 773490715, 933515439, ( -1), ( -1), 22886052, 251028135, 101254053, 485761939, 430529495, ( -1), 308152952, 60789566, ( -1), 269097970, 763936412, ( -1), 358707267, 308907263, ( -1), ( -1), 580239290, 649443653, 859917425, 987809589, ( -1), 362877206, 854363919, 508715489, 538438672, ( -1), 335950112, ( -1), 302194715, 745085706, ( -1), 582466816, 898676824, 10761834, 998296582, ( -1), ( -1), 432746237, 939276271, 487149169, ( -1), 669917653, ( -1), 411254201, 758659015, 72563135, 915717993, ( -1), ( -1), ( -1), 88495497, 204031169, ( -1), 116664190, 666095734, ( -1), 967062550, 351127356, 539327049, 111868263, 934735701, 576496485, 239024892, 420630142, 751816669, ( -1), 287987917, 744773355, ( -1), ( -1), 919881254, 551609797, 832005538, ( -1), 48225208, ( -1), 809333205, ( -1), 763101205, 624417833, ( -1), 522043307, ( -1), 585321823, 733658571, 21150380, 892823163, ( -1), 935593445, 636053309, 870667500, ( -1), 11851354, ( -1), ( -1), 747341194, 537023949, 579048807, 101887216, 769244594, 474510145, 799020962, ( -1), 348523269, 59056961, 230465300, ( -1), 749007006, ( -1), 381426641, 566387267, 958645086, 718887209, ( -1), ( -1), ( -1), 559608321, 200832234, 622807489, 608905546, 441509785, ( -1), 884472961, 151657780, 647210123, 581701831, 741016292, ( -1), 890326679, 161941384, 763794907, 667411689, ( -1), 457119533, 618186146, 663404406, 895116156, 696021644, ( -1), ( -1), 618170570, 958051004, ( -1), 298623333, 724950960, 558021945, 738107274, 425561844, ( -1), 589353801, 771248767, 145068456, 325756036, 940014075, 513856575, ( -1), 196959226, 977261812, ( -1), 645227246, 161059906, ( -1), 213822351, 470679511, 912624673, 913616719, 34163332, 864752848, 135721625, ( -1), ( -1), 605280303, ( -1), ( -1), 457239834, ( -1), 460963506, 359942106, 436783652, 123760558, 109793781, ( -1), ( -1), 552425756, ( -1), ( -1), ( -1), 506294233, ( -1), 24171936, ( -1), 919821109, 553694421, 603222046, 281434568, ( -1), 206552356, 717776121, 638120500, 415828485, 420470245, 857378235, 671478616, 507586722, ( -1), 8239911, 945370401, 670304354, 513051869, 435483675, 637767285, ( -1), 237967832, 587963505, 647312345, 825750439, ( -1), 660403611, ( -1), ( -1), 313207522, ( -1), ( -1), 808102619, 814535511, 687221894, ( -1), ( -1), 831111948, 429325795, 484874733, 40536993, 383815355, ( -1), ( -1), 979186224, 643978222, 887919849, 366628044, ( -1), 585662387, ( -1), 531361700, 505863184, 481621804, 206450999, 115250348, ( -1), 436888704, ( -1), ( -1), ( -1), 212110524, 846589904, 938115184, 569337548, ( -1), 703053920, 351986888, 689838804, 649501276, 591621346, 753616211, 315183153, ( -1), ( -1), ( -1), 478777074, ( -1), 259916875, 748880985, 456549932, 85520354, 802233623, 775387692, 587682662, 273574156, 305122847, 485880715, 187081104, 391484132, 209920163, 762571487, ( -1), 826446712, ( -1), ( -1), 150906691, 345031366, 349983838, ( -1), ( -1), ( -1), 806303124, 412779461, 992929753, 274876635, 356186804, 393314112, ( -1), 198949152, 392559281, 414697804, 628735584, 709741566, 677388682, ( -1), 282001476, 664838401, 898047700, 385195712, ( -1), 58643344, 134858867, 33183758, ( -1), 691108274, 180960611, 102156412, 886177379, 310828894, 980819614, 647993499, 105984352, 241228796, 520303093, 617413389, ( -1), 72648857, ( -1), ( -1), 806449272, 956982782, 65962908, 423748326, ( -1), ( -1), 456401754, 602926574, 625990664, 403772123, ( -1), 923502489, 960827625, 862731557, 718473052, ( -1), ( -1), ( -1), 703399728, 993361433, ( -1), 505159495, ( -1), 231980216, ( -1), ( -1), 804745895, 234171263, ( -1), ( -1), 602636044, ( -1), ( -1), 457912874, 771318558, 595227732, 288310466, 454055736, 981164010, 663270714, ( -1), 664206478, 133122739, ( -1), 517929309, 786961012, 993058333, 744275196, ( -1), ( -1), 573019043, ( -1), ( -1), 545533580, ( -1), 616699039, ( -1), 261165345, 557571260, 141582206, 929190377, 230805899, 424702987, ( -1), ( -1), 959594872, ( -1), 670263640, 267423941, 534935083, 681172931, 470918299, 238972494, ( -1), ( -1), 111185732, ( -1), 651693186, 595992475, 226083226, ( -1), 194956034, ( -1), ( -1), 911281247, 430520054, 632688891, 347299569, ( -1), 773272867, ( -1), 786328388, ( -1), ( -1), ( -1), 471044575, ( -1), ( -1), 339265598, 334770129, ( -1), 569264171, 373820997, 322034509, ( -1), 372373370, 650193801, 670795762, ( -1), 484973588, 137262916, 890161349, 154977465, 746936258, 557537299, 762670888, 230786405, 838685840, 765860493, ( -1), 740730635, ( -1), ( -1), ( -1), 580832517, 31586209, ( -1), 898954651, 549347013, 174597088, 616569011, 897807870, 998829963, 244394553, 504425604, 783702496, 817475188, 397258005, 473580266, 531733348, ( -1), ( -1), 969602112, 927548239, ( -1), ( -1), 914412229, 158541597, 982259395, ( -1), 380664357, 157443822, 560654064, 875352494, 483904799, 218298729, 469497296, ( -1), ( -1), 860583612, ( -1), 799863065, ( -1), 220279869, 622945149, 455462440, 955511951, 727968345, 437806814, 624657149, 77812234, 630724649, 230261958, 500873133, ( -1), ( -1), ( -1), 155597415, 303207672, ( -1), 267722395, 972340931, 606051711, ( -1), 615785907, 136015891, 647539705, 53658899, 283298044, ( -1), ( -1), 183679616, 25877082, 797608170, 236755196, 811172338, ( -1), ( -1), 162604703, 96845826, ( -1), ( -1), ( -1), 425794099, ( -1), 685617786, 462715710, ( -1), ( -1), 862047750, 125524621, 874516851, ( -1), ( -1), ( -1), 291100348, ( -1), ( -1), ( -1), 275563217, ( -1), 920019049, 552879594, 372593242, 181637535, 314255025, 491901007, 295983810, 152239820, ( -1), 153001585, ( -1), 322718021, ( -1), 412312445, 949053109, 821224416, 333324543, 97584703, ( -1), 6158213, 488618310, 611085438, 31689429, 911923189, 375468841, ( -1), ( -1), 40198259, ( -1), 615294660, 340326631, 702978156, 706904025, 175894798, ( -1), ( -1), ( -1), 962132235, 537579272, 256055420, ( -1), ( -1), 71232056, ( -1), 919465300, 762207875, 426781026, ( -1), 435274903, 90195505, 744935280, 306349218, 821966818, 71391090, 18339690, ( -1), 134537057, 512746023, ( -1), 665243199, 494897312, 908331673, 101632888, ( -1), ( -1), ( -1), 222827134, 562236838, ( -1), ( -1), 476441147, ( -1), ( -1), 744864417, ( -1), 570174522, ( -1), 736459012, 471094476, 807481342, 901456408, 59288257, 282312546, ( -1), 526987947, 288341503, 103535514, 216982106, 916907027, 778376773, 541943179, 622560572, ( -1), 300970810, 434379353, 301444677, 746906844, 551245274, ( -1), 542021934, 738096778, 389721327, 395726579, ( -1), 682525196, ( -1), ( -1), 991800901, 975581866, 282336297, 321488744, 27216207, 550493857, ( -1), 138879614, ( -1), ( -1), 468823334, 556489365, ( -1), 565993585, 137807384, ( -1), 195592090, 630457366, ( -1), 155604470, 17823737, 6138623, ( -1), 548529879, ( -1), 335024783, 755602011, 938843104, 39494643, 915205466, 621700319, 105744801, 262198281, 954331348, 726500409, 443366427, 948662291, 274769302, 55810662, ( -1), ( -1), 976647217, 539502966, 470997613, ( -1), 246496710, 601394070, ( -1), ( -1), 13359679, 662848622, ( -1), 716847339, 915334418, 444593181, 653634527, 89998122, 717764437, 810266640, ( -1), 753145240, 618415985, ( -1), 644561651, ( -1), 5217143, ( -1), ( -1), 757383304, 977236863, 618221051, 992010392, 469622832, 313591673, ( -1), 114132050, ( -1), 852416151, ( -1), ( -1), ( -1), 932157172, 886533423, ( -1), 410361776, ( -1), 845838843, ( -1), ( -1), 433886075, ( -1), 738247031, 264347686, 21131057, 619301739, ( -1), 555154834, 630321587, 875759562, 622709764, 411397641, ( -1), 559496854, ( -1), 371644634, 59200418, 14770740, 998434781, 539908126, 572640994, ( -1), 275492379, ( -1), 477256752, 705861994, ( -1), 255981638, 40640894, ( -1), 314223348, 173390366, 812487517, 485960524, 746883136, ( -1), 732263059, ( -1), ( -1), ( -1), 132716111, ( -1), 849952532, 235331848, 874038130, 652546116, 378670199, 691467131, 213852436, ( -1), 348225707, 584312253, 156185514, 3035181, 211455960, ( -1), 691668420, ( -1), 119254501, ( -1), 106945445, 33770798, ( -1), 375864194, 56343749, 706425149, 503398872, 76778609, 115918585, 620925572, 64226468, ( -1), 306313301, ( -1), 984431718, ( -1), 39950962, 51962011, 905735375, ( -1), ( -1), ( -1), 701822763, 665424502, ( -1), 957958691, 634797893, ( -1), 752769527, 150541003, 170497315, ( -1), 142069105, ( -1), 270590702, 202232283, 845317612, 879417488, 353137329, 984587658, 520657756, 442924166, 236445129, 961850355, 597953707, 260056872, 862247635, 242288265, 318763320, 58914867, 30418721, 77238022, 573527600, 806090848, 920812215, ( -1), 676927065, 141024451, 712533192, 976701031, 679121504, 489069663, 778757060, 333711291, 802824389, 719920188, 260150744, 977973766, 129428737, 930876347, 578920920, 58778564, 447771479, 257840591, ( -1), ( -1), ( -1), 626775396, 976997703, 689846826, ( -1), ( -1), 691667162, 935946242, 168669410, 753027879, ( -1), ( -1), 721181635, 208443249, 111360132, 982252136, ( -1), ( -1), ( -1), ( -1), 390638204, 347143081, 649736850, 582699441, 273313710, 702986605, 68537237, ( -1), 268224422, ( -1), ( -1), 580621673, 573580741, 287168611, 79205757, 673970473, 239920401, 767740640, 554428289, 935920415, ( -1), ( -1), 555333814, ( -1), 775599838, 675565500, ( -1), 404957415, ( -1), 193369200, 248709466, 860875780, 537766188, ( -1), ( -1), 157983641, ( -1), 859881043, 706240698, 553093906, 714495395, 553345229, 644241801, 336117498, 424757061, 718284457, 452391055, ( -1), 798581939, 293213770, 603681848, ( -1), ( -1), 996797493, 358534943, ( -1), 515061831, 150994741, 54570646, ( -1), 865385145, 635319038, 330776455, 94554454, 240382516, ( -1), 449472166, ( -1), 888370695, 278349600, 511498750, 270713530, 361852217, 111318860, 857522318, ( -1), 368633482, 408239731, 477294805, 790269434, 617682617, 737255621, ( -1), 238486756, 899951027, 670270304, ( -1), 75028510, 404484859, 109527554, ( -1), ( -1), 143084882, ( -1), 521388746, 123081927, 947357933, 439520822, 355546951, ( -1), ( -1), 969456981, ( -1), 100668594, ( -1), 14719262, 528356020, 585593324, 25785693, 127568363, 852411754, 158053843, ( -1), 7014967, 967894912, 582220461, 58127035, 13574615, ( -1), 868420469, 408973993, 169438036, ( -1), 12351908, 296589420, ( -1), 750627887, ( -1), 3585186, ( -1), ( -1), ( -1), 527507121, 729075436, 798767680, 229160066, 74702906, ( -1), 197050027, ( -1), 616953781, 705737584, 76694045, 485976131, ( -1), 313666042, 148077079, 936888512, ( -1), 789448207, 561840470, 531963529, 808111834, ( -1), ( -1), ( -1), 657169378, 702981758, 105210743, 365679784, 502508096, 484368675, ( -1), 526538095, 884884556, 150987327, 338571330, 87751215, 575044575, ( -1), 848366887, 289740480, 109474871, ( -1), 545976760, ( -1), 538002316, ( -1), 776048555, 76633991, ( -1), 372719823, ( -1), 231562832, 710517317, 111778314, 550270981, ( -1), 18110145, 696591312, ( -1), 938642584, 254125635, ( -1), 475184343, 808528776, 458571141, 41976773, 56822671, ( -1), 924229380, 352476000, ( -1), ( -1), 831865422, 276893257, 149134608, ( -1), 744504900, 414865220, 524909662, 315037438, 99036249, 530362446, ( -1), 505659161, ( -1), 280964361, ( -1), ( -1), 242335554, 390494693, ( -1), 560192790, 894493293, ( -1), ( -1), 14473629, ( -1), ( -1), 160824024, ( -1), 451282482, 344032599, 133503659, 503407245, ( -1), ( -1), ( -1), 291774735, 152330740, 195054471, ( -1), ( -1), ( -1), ( -1), 492529027, ( -1), ( -1), 549518475, ( -1), 85306231, 96658325, 206857832, 426206570, 349824601, 771211202, 59221258, 989627567, 803396465, ( -1), ( -1), 339432362, 980918937, 231611848, 945014238, ( -1), 108076120, 633410275, 735683934, 706238024, 208107917, ( -1), 824488338, 730923175, 971917261, ( -1), ( -1), 481269120, 729627236, 376800751, 627688109, 679857440, 871248990, ( -1), 218131007, ( -1), 126512840, ( -1), ( -1), 164505598, 626587407, 595373175, ( -1), 800657622, ( -1), ( -1), 417389460, 881041817, 273871176, 606829107, 730692967, 709761026, ( -1), ( -1), ( -1), 757331887, 421093028, 587781455, ( -1), 603574441, 697494499, 71666877, 164681193, 332587054, ( -1), 7634144, 610554816, 694144961, 423650659, 509517629, 56883275, 436999868, ( -1), 407741674, 700410851, 461905026, 59234285, 727815039, 935882974, 10746724, ( -1), 702602199, 642194380, 330713384, 760266561, ( -1), 48031705, 125577123, 370390330, 835514409, 352491978, 618455078, 476723134, 266480373, 568632801, 851194624, 585910787, ( -1), 147187914, 372203701, ( -1), 948919906, 566949334, ( -1), 568495947, 434717185, 318612907, 207585408, ( -1), 49833543, 867100647, ( -1), 2074753, 227032215, 193920651, 951020543, ( -1), ( -1), 335728828, 74872666, 258155674, ( -1), ( -1), 397128000, 97524688, 332305839, 786061449, 810069943, 379074028, 762825503, 314863483, 856050075, 828218891, 758956654, 803823005, ( -1), 641140902, 519549667, 391057551, 543387851, 104779392, 133828855, 970651045, 383312305, 240234059, ( -1), ( -1), ( -1), ( -1), 186652179, 305824981, ( -1), 715330676, 447545992, 214873558, 929921664, 977002033, ( -1), ( -1), ( -1), 375103326, ( -1), ( -1), 854763256, 487848374, ( -1), 610057231, ( -1), 639673390, 225527368, ( -1), 125010568, 515865911, ( -1), 781089358, 63257052, ( -1), 889740900, 660639040, 558571222, 509076993, 990792626, 768467321, 450871805, 698661636, 717272878, 673184643, 68855286, 762255513, 29906646, 970062786, 228920438, 127981714, ( -1), 513367258, 798363953, ( -1), ( -1), 383816727, 36392707, ( -1), 854219415, ( -1), ( -1), 819736554, 144574394, 262326326, 762049396, ( -1), 823961766, ( -1), 392975770, 955427650, 188426322, ( -1), 330245438, ( -1), 642336328, 102437090, 976651534, ( -1), 264620538, ( -1), ( -1), 583547060, ( -1), ( -1), 431204554, 348371404, 177207351, 448870641, 383094470, ( -1), ( -1), ( -1), 464045589, ( -1), 69032044, ( -1), ( -1), 683570686, ( -1), ( -1), 34811082, ( -1), 95210946, ( -1), 327883322, 435295999, ( -1), 990305097, ( -1), 17520159, 90850432, ( -1), 602775922, 415680469, 518476744, 44649241, ( -1), 83911392, 11068685, 231350094, ( -1), ( -1), 748369518, 242388825, ( -1), 941783818, 538024547, ( -1), ( -1), ( -1), 820963336, ( -1), ( -1), 444788424, ( -1), ( -1), ( -1), ( -1), ( -1), 310902844, 763702153, ( -1), ( -1), 328006633, ( -1), ( -1), ( -1), 482301277, 264253898, 22519245, ( -1), 802579768, ( -1), 40083841, 330243738, 828682793, 68991807, 187160908, 974182230, 693074457, 709484130, 442473248, ( -1), 48836908, ( -1), 900349403, 882736305, 512636490, 960147919, 814874183, 926684789, 854328312, ( -1), 740266000, 484352732, 983665563, 369388555, 514125157, 1818001, ( -1), 205354219, 517798253, 510812978, 442183622, 708204674, 939959317, 522273959, 937658858, ( -1), 752256424, ( -1), 778068105, 478325262, 823848687, 399690296, 252484448, 215848588, 169050823, 937470796, 96646090, 656673638, ( -1), 591303016, 574352266, ( -1), 31442788, ( -1), 464568506, ( -1), ( -1), 374192724, ( -1), 31681908, ( -1), 99236312, ( -1), 521473501, 391285446, 206099244, 496962433, 635806740, ( -1), 418172477, 525857530, 87605242, 887037545, 184594259, 292939429, ( -1), ( -1), 242543375, ( -1), 188813344, ( -1), ( -1), 872668347, ( -1), 425562879, ( -1), 818784348, 442986177, ( -1), 104896521, 258797054, ( -1), 567858412, 963295623, 487422834, 666812317, ( -1), ( -1), 760920936, ( -1), ( -1), 569218474, ( -1), 913647901, 129270351, 969499088, ( -1), 860512885, 543136377, ( -1), ( -1), 774282907, 960894187, ( -1), 957248217, 511208760, ( -1), 202151492, 514618657, 627325584, 385672743, 951035274, ( -1), 361916299, 52202892, 440125168, 218935901, 489229276, 608377762, ( -1), ( -1), 576853448, 535904383, 884623924, 784043725, 135459036, ( -1), 518741333, 18836176, 101393974, 843704991, ( -1), 609476081, 126416815, 109963378, ( -1), 251721006, 408894093, 991593465, ( -1), 627456802, ( -1), 338241206, 432406482, 517249116, 377696558, ( -1), 955460048, 203505004, 286275571, 669929710, ( -1), 148216796, ( -1), 9731582, ( -1), 810808162, 299886493, ( -1), 460721171, 428942570, 336152037, ( -1), 53298469, 852426551, ( -1), 443795382, ( -1), 916145732, ( -1), 509189206, 437885805, ( -1), ( -1), 90274985, ( -1), 788981194, ( -1), 471316029, 841438036, 479615445, 107784094, 168607760, 203462691, 793369471, 823989150, 652808538, 542102011, 944697382, 703367079, ( -1), 781894771, 179313560, 35092704, 567934448, ( -1), 867140071, 174574180, ( -1), ( -1), 718023536, 908984434, ( -1), 707540117, 580995467, 961627475, 637866580, 433772691, 554009073, 333355766, ( -1), ( -1), 252035588, 143694550, 146406693, 421796959, 229142127, ( -1), 22132851, 414618612, ( -1), 617335124, 100090063, ( -1), 704226450, ( -1), ( -1), 923016773, 670291730, ( -1), 706934577, 493085267, 828447465, 333294268, ( -1), 545369954, 864650891, 52235826, 554375761, ( -1), 876432978, 732921202, 690236699, 963088197, ( -1), 152229877, 834170596, 990069043, ( -1), ( -1), 851303778, 653934444, ( -1), 728051889, 229806057, 218572321, 346930838, 219782280, 511056109, ( -1), ( -1), ( -1), 983473196, 967783691, 421847479, ( -1), 873679382, ( -1), ( -1), 320865402, 766022807, 94863796, 574677297, ( -1), ( -1), 131564715, ( -1), 624999, 993963260, ( -1), 136414530, ( -1), 414480958, 937954272, 201440323, 327461463, ( -1), 340102914, 725579968, 400953177, 818118495, 807760406, 175884081, ( -1), 150764364, 522526799, 69353399, 605537811, 405888846, 210530858, 989803959, ( -1), 477820378, 938779517, 836856467, 960909447, 470615030, ( -1), ( -1), 795200741, ( -1), 884861809, 583361773, 653374827, ( -1), 847307451, 214230625, 943877008, ( -1), 699473884, 477870879, 361774745, 989309188, 122005197, 514007746, 699531416, 87694323, ( -1), 752019033, 772356685, 569595496, ( -1), ( -1), 1204072, 491136853, ( -1), ( -1), 992889188, 580238704, ( -1), ( -1), ( -1), 575719395, 637679511, 340324274, 911072992, 72563390, 830762141, ( -1), 756530285, ( -1), ( -1), 714885869, ( -1), 210059535, 712532561, 559015157, 211380324, 524570888, 85324359, 381447743, 922430759, ( -1), 989185649, ( -1), 962204813, 301344136, 32854693, 333743041, 5683383, 235153736, 16514782, 622987473, 56073663, 646624788, 944900721, 648613437, 513577513, 100247584, 256369634, 797058650, ( -1), ( -1), 146462367, 387425580, 144119122, 132097809, 414049089, 244830272, ( -1), 899626350, ( -1), 610127174, ( -1), ( -1), 840775839, ( -1), ( -1), ( -1), 573101682, 477575132, 909089752, ( -1), 809629423, ( -1), ( -1), 445413517, 572174755, ( -1), ( -1), 967461540, 471340121, ( -1), ( -1), 417036402, ( -1), 643469299, 617194921, ( -1), 398615358, 898307674, 562642889, ( -1), 346483385, ( -1), 14532201, ( -1), 252475897, ( -1), ( -1), ( -1), 395498581, 789599053, 760988177, 292374920, ( -1), 676476382, ( -1), ( -1), 238956019, 155254583, 335454783, ( -1), 258516101, 318969451, 35695804, ( -1), 857871986, 294922306, 638184218, 533444092, 220859312, 715082234, 996857045, ( -1), ( -1), ( -1), 714080338, 357220187, ( -1), 159676883, ( -1), ( -1), 102840381, 527719163, 436709982, ( -1), 366173182, ( -1), 702862296, 414365053, ( -1), 476035535, 621204286, 782778283, ( -1), 647305111, 562224724, 313414556, 145709653, 540906013, 930395039, ( -1), 152931940, 777102462, 243662468, 75401279, 826151118, ( -1), 672383187, 594138330, 362973839, ( -1), ( -1), 188318369, 632725771, 666204083, 22086998, 354259880, 575594601, 532925530, 253470359, ( -1), ( -1), ( -1), 78938174, ( -1), 49515038, 540648085, 733045601, 156607957, 793483965, ( -1), ( -1), 782205415, 280908626, 969558548, 309437091, 528599420, 805330836, ( -1), 516289367, 527485462, ( -1), 504003650, 700279786, 974725973, 596893788, 164177119, 443506613, 221859650, ( -1), 434334082, ( -1), 307544394, 676088516, ( -1), 220972457, 40147261, 719590054, 580237011, 23383423, 446342163, 912545693, 210358714, 680488791, 783363911, ( -1), 634145541, 290240813, 262193404, 775387499, 81782227, 755570087, 989875302, 595555125, ( -1), 422078591, 30297021, ( -1), ( -1), 236121381, 714795163, 542820084, ( -1), ( -1), 136480330, 624094324, ( -1), 466910665, ( -1), ( -1), 484656070, 760837769, 999713532, ( -1), ( -1), ( -1), ( -1), 326935788, 722063985, 731677395, 885785433, 212973387, ( -1), 540327536, 449260065, ( -1), ( -1), ( -1), ( -1), ( -1), 789117188, 608787757, ( -1), 880369945, ( -1), 961843206, 473029634, 398552721, ( -1), 239482481, 490497337, 172615983, 856051768, 942170765, 849090575, ( -1), 202547931, ( -1), 880009157, 655519947, ( -1), 132148963, 133124991, 498565956, 75055234, 156547111, 314273222, 222174819, 561055829, 927279024, 975039522, 433155168, 875510356, 638354338, ( -1), ( -1), 754680672, 95791942, ( -1), 526902662, 124412927, 236938121, 947066097, 508195303, ( -1), 579908594, 69910152, 375061754, 470692030, 548061509, ( -1), 609103800, ( -1), 357312334, ( -1), ( -1), ( -1), 832765906, 82261186, 511537401, 509816478, ( -1), 413031788, 616444420, 213775437, 713481824, 186074810, 728425974, 757898739, 104624609, 975062478, ( -1), 761783711, 829508902, 721939599, 566566768, 38086838, 184245419, 269071341, ( -1), ( -1), 902012247, ( -1), 275467783, 863177973, 451575888, 97658803, 301357299, ( -1), 548064371, 793570648, 831515454, ( -1), 432998737, ( -1), 945201471, 291344071, 20662745, 855615925, 172579667, 796860374, 48568770, ( -1), ( -1), 201235872, ( -1), 388760815, 962960760, 124486070, 951521769, 714819599, 144308239, 662128626, 66884717, 320545617, 421547089, 216737123, 546156022, 465083985, 963696895, ( -1), 631010763, 912596446, 13650428, 344412357, 38160045, ( -1), ( -1), ( -1), ( -1), 752576739, 158881258, ( -1), ( -1), 429709642, 333282389, 570998893, 111085489, 349092403, ( -1), ( -1), 358963152, 399992237, 222143247, 851525913, 508452041, 778674864, 804388764, 466182960, 200095015, ( -1), 501746974, 364044578, 100820797, ( -1), 876096184, ( -1), ( -1), ( -1), ( -1), ( -1), 796562955, 431907696, 86228533, 478318904, ( -1), 620601805, 315607704, ( -1), 19750276, 503700534, 618679156, ( -1), 210678055, ( -1), 314862612, 483777064, ( -1), 661490542, ( -1), 639727756, 961330220, ( -1), 855416597, 210523026, ( -1), ( -1), ( -1), ( -1), 891207234, 299455636, ( -1), 329269751, 33525804, 500900151, ( -1), 149372592, 896118424, 406226900, 746965067, 57643764, ( -1), 436065601, 57049072, 958641794, 473137520, 849509742, ( -1), 721090630, 879534992, ( -1), 529545801, 480987780, ( -1), 694405589, 101693535, 986614299, ( -1), 282777096, 790124918, 764090928, 117166892, 303950456, 595119028, 956056396, 830346496, 9636845, 139139859, ( -1), 298363219, 310231505, ( -1), 151289282, 909003148, 667237883, 725220631, 36781638, 487168372, 449111914, ( -1), 903306425, 848050300, ( -1), 923118125, 765269581, 810558494, 238452899, 331783063, ( -1), ( -1), 577026949, ( -1), ( -1), 870224413, 914033941, 915368157, 683352467, 237849682, ( -1), ( -1), 899471169, 154595748, ( -1), 111045587, ( -1), 914105167, ( -1), 311644723, ( -1), ( -1), 501186012, ( -1), 163173665, ( -1), 359949183, 230993877, 235090083, ( -1), 86853401, 252059475, ( -1), ( -1), 923849696, ( -1), 221623633, 980276033, 960618040, 142943501, 947162952, ( -1), 242048452, 156920698, 263436700, ( -1), ( -1), ( -1), ( -1), 87649841, 948051858, 497135776, 221191378, 326828086, 359112613, 739551769, 710574334, ( -1), 630233633, 941919042, 156311069, ( -1), 833274238, ( -1), 348467422, 777166004, ( -1), ( -1), ( -1), ( -1), ( -1), 841900649, 858691056, 55898034, 138128406, 576023749, 513798090, 164257851, ( -1), 280692153, 732092536, ( -1), ( -1), 548050109, 436643661, 436043444, 742262487, 788572288, ( -1), 330998864, 958942856, ( -1), 379252368, 927718665, 931590772, ( -1), 388158875, ( -1), 804895503, 259503143, ( -1), 655315620, ( -1), 46168514, 191322345, ( -1), 564498289, 711810612, ( -1), 486777969, 679425490, ( -1), ( -1), ( -1), 479682094, 60988522, 265124598, 217012704, 363560302, ( -1), 373526081, 615206890, 410322813, 866954466, ( -1), ( -1), ( -1), ( -1), 909423359, 103216021, ( -1), ( -1), 571009274, ( -1), ( -1), 781649894, 55836530, 474274987, ( -1), 858794217, 852329023, ( -1), 825141301, ( -1), 865572654, ( -1), 321491111, 732281268, 85077193, 600441976, 723826507, 330205101, 419999454, 148021654, 480247335, ( -1), 975361214, 791086717, 703266825, 699260708, ( -1), 307535453, 35968701, 343657582, ( -1), 617860496, 174625851, 515971473, 567496641, 422588279, 22437751, 41161261, ( -1), 100996276, 358192551, ( -1), 190798571, 777745014, 734573551, 393798303, ( -1), 89462958, 348645526, 152622319, ( -1), 452047737, ( -1), 151602681, 482537484, 503043092, 468037229, 499695464, 308778692, 931158889, 848536183, ( -1), 230782584, 476801988, 279002607, ( -1), 997094473, ( -1), ( -1), 939517288, ( -1), 679558665, 515398063, ( -1), ( -1), 966159045, 29763025, 971859570, 287943582, 397695196, 22173664, 684952872, 701180685, 665427523, ( -1), 590789128, ( -1), ( -1), ( -1), 448023789, ( -1), 975935449, ( -1), 205590188, 611382273, 715688117, 496377580, ( -1), 550351094, ( -1), 60731397, ( -1), 218266928, ( -1), 196957934, 463829049, ( -1), 582873802, 313751635, 955297867, 902397983, 252818457, ( -1), 440604786, ( -1), 776367663, 385355548, ( -1), 268930489, 959638383, 2402597, ( -1), 415571377, ( -1), 293029571, 990608529, 223602581, 797910679, 57167434, 269438438, 165203742, 304324859, 404797447, ( -1), 53200443, ( -1), ( -1), 169115737, 34078351, 660833183, 653702635, 455684817, 733925586, 548329159, ( -1), 175799731, 11594892, 875686711, 315491534, 317505831, 815931344, 647727648, 642983188, ( -1), 841565019, 168209835, 576436972, 821971303, 114952911, 132333260, 456873377, 234942664, 212281575, 927546940, 513644395, 357405684, 207773150, 12787977, ( -1), 159599272, 155026659, 465760028, ( -1), ( -1), 397015453, 20734690, 135148806, ( -1), 368515142, ( -1), 488700114, ( -1), 557099405, ( -1), 573933339, 12903914, ( -1), 237500343, 396218618, 616152907, 958630540, ( -1), ( -1), 677899645, ( -1), 384287284, 436215411, ( -1), ( -1), ( -1), 420960458, 536892880, 833890577, ( -1), 33571813, ( -1), ( -1), 976719172, ( -1), 992493825, ( -1), 578175355, 679407799, 536369276, 416346689, 747765829, ( -1), ( -1), ( -1), ( -1), 346401006, ( -1), ( -1), ( -1), 91010329, 161759431, ( -1), 724424166, 895002786, ( -1), 764207733, 616677282, ( -1), 732025744, 80100077, 996722032, 348026445, 382647431, 165531094, 19870663, 738682333, 151871930, ( -1), 967857391, 677885723, 606770832, 727386318, 665311893, 317010991, ( -1), ( -1), 490406902, 652916971, 636232667, 904384717, 383822281, 547133022, 611842063, 447349400, ( -1), ( -1), 930013350, ( -1), 176388931, 79918008, 435177812, 140848696, 566579088, 726750, ( -1), ( -1), 394807724, ( -1), 470863193, ( -1), 347174414, 573490412, 431673092, 62889559, 279372555, ( -1), 71330879, 549950628, 196931264, ( -1), ( -1), 757065241, ( -1), ( -1), 376154857, 691627504, 756226024, 102978789, 550955624, ( -1), 689307037, 11132756, 84014559, ( -1), ( -1), 353640637, ( -1), 964602996, 604665359, 360628969, 680081391, ( -1), 909794247, 478923976, 807992086, 262623540, 640076445, ( -1), 319030598, 105061422, 130855241, 868749574, 376123489, 256730194, 726730461, 509500195, 972695974, 74332620, 541050659, 476327757, 379010459, 989263440, 164766567, ( -1), 313122437, ( -1), 883617098, 909725026, 693132226, 190496941, 116422785, 181664225, ( -1), ( -1), 692532555, ( -1), 926330692, 72518042, 538553886, 752506818, 210160952, 11715276, 948030148, 433313667, ( -1), 177896321, 47363031, 732656753, 736817142, ( -1), 441708365, 11326203, ( -1), 829727709, ( -1), 105998380, 36198900, ( -1), 720027817, 491276427, 431883727, 614160083, 482272307, 179498011, 168055348, 217224791, 581616272, 814817859, 973428212, 107148739, 49654168, 93529094, 656620727, 581705281, 953680017, 92662603, ( -1), ( -1), 314768248, 964063142, ( -1), 828968510, 927239912, 998041950, 293676590, 342855239, 959664470, 907478171, 813531963, ( -1), 410920479, 715924178, ( -1), 382106272, 614349809, ( -1), 498482666, 916231279, 752557505, 555358107, 460789216, 803311366, 393135785, 351897605, 933075316, 585564070, 361587846, 544962482, 293151654, ( -1), 459546958, 314967988, 453552690, 811866909, 66984703, 780632541, 571419124, 24805109, 60559674, ( -1), 17644805, 438762782, ( -1), ( -1), 921831529, ( -1), ( -1), 117614250, 815311599, 703974311, 730227459, 366503205, 166269973, ( -1), 774515772, ( -1), 873367188, 305741488, 344650009, 708780991, 365087175, ( -1), ( -1), 247328049, 943361149, 357236026, 333111944, 96311428, ( -1), ( -1), 315509674, 505796460, 850396517, 741551044, 126606258, ( -1), 532212372, 544234496, 555988501, 469381391, 829358935, 104001760, 135054481, 49024593, 803522591, 948048308, 809780268, 852502698, 414319482, ( -1), 406971330, 323926842, ( -1), ( -1), ( -1), 345895292, 43798026, 199511218, ( -1), 470315164, 724628182, 284124216, 217907411, 761392136, ( -1), 154715505, 95954370, 318678355, 930981833, ( -1), ( -1), 798797248, 472545544, ( -1), 63343184, ( -1), 261223270, 831782003, ( -1), 283471508, ( -1), 973047236, 203984703, 959738182, 235713683, 840146140, 346013293, 664814409, ( -1), 214450055, 728929459, 181289027, ( -1), ( -1), 543263155, 826074948, 45311795, ( -1), ( -1), 975376979, 900016996, 244389267, ( -1), 301419260, 488546157, 668452403, ( -1), ( -1), 761028802, 336903746, 196522139, 836899825, ( -1), 383058778, 424522686, 851880600, 283877390, 998199246, 389474430, 427777180, 35078829, ( -1), 379809365, 694289681, ( -1), 637656636, 173183154, 39106706, 915022047, 785964213, ( -1), 149379543, 937281779, 907561214, 819013986, 115793185, 714375476, 638661558, 549272395, 923046012, ( -1), 611769127, ( -1), 793379088, 494127803, 249826494, 983635089, ( -1), 981357533, 793895049, 31547602, 754205415, 111770460, ( -1), 68437038, ( -1), 719627285, ( -1), ( -1), 258657080, ( -1), 42217851, 61113437, 459712165, 753806710, 236635607, 869847048, 35485490, ( -1), 343083153, ( -1), 32568538, 117173614, 576997475, 565703399, 663434712, 918167300, ( -1), 725872709, 316347222, ( -1), ( -1), ( -1), 249498249, 15987357, 199334142, 636140180, ( -1), 158788428, 938602779, 392929902, ( -1), 767623927, ( -1), 718627848, ( -1), 327113188, 799646578, 966063931, 917772916, 358708260, 81454290, 994023158, 471411778, ( -1), ( -1), 336485567, ( -1), 258833118, ( -1), 517063434, 183109261, ( -1), 965051877, 987468884, 365928574, 790454425, ( -1), 895870628, 270395280, 641450533, 706927328, ( -1), 180559900, ( -1), 579178732, 715843851, 789478242, 833176347, ( -1), 539397206, 399122231, ( -1), 740447865, 275834596, ( -1), 573766499, 177219991, ( -1), 648065887, 84751113, 504051473, ( -1), 982654122, 814641973, 658418026, ( -1), ( -1), ( -1), ( -1), ( -1), 691640425, 572072805, ( -1), 516111604, 771052976, 489469242, 285468488, 805569981, 469417703, 214983802, 65125434, 539238818, 528179553, 730232054, 297826904, 11403463, 924241522, 294587492, ( -1), 183185126, ( -1), ( -1), 563749251, 549732518, 331746246, 795564020, 463510702, 417207276, 123021049, 518421448, ( -1), 170910104, 836662477, ( -1), 642263798, 823281579, ( -1), ( -1), 130586395, 402460130, ( -1), 610136396, 129779750, 184072906, ( -1), 955609035, 287882966, ( -1), ( -1), ( -1), 436375558, ( -1), 369967484, 905747184, 101701414, 775724766, 674456643, 303355984, 909485600, 17945742, ( -1), 180008598, 373114698, 614258979, 23611627, 136863489, 204105867, 13752607, 420255548, 375142625, ( -1), 995046286, 142567558, 87527327, 955276185, 62296199, 665154127, 717941214, 160713875, 34982518, 673315803, 530714115, 80580964, 109722800, 259944457, 74410586, 892577358, 45074023, 674922011, 305471701, ( -1), 35393698, 526752000, 993428875, 19350063, ( -1), ( -1), 266392230, 960258404, ( -1), 946370392, 689620560, 884619724, ( -1), ( -1), ( -1), 809080529, 488805189, 312418008, ( -1), ( -1), 653144856, ( -1), 652517992, 344180789, 621604594, 745461109, 513715035, ( -1), ( -1), 783494548, ( -1), 319044730, ( -1), 949421992, 77808725, 112694496, 652432539, 131146416, 101776576, 222223743, ( -1), 893024941, 167400175, 557068719, 845937955, ( -1), ( -1), 965260186, ( -1), 681871872, 622593700, ( -1), 415149637, 839064823, 470562451, 231830820, 708571883, ( -1), 885566215, ( -1), 588778674, 412731316, ( -1), ( -1), 334350499, 286562219, 953374483, ( -1), 788669638, 994596688, 266860870, 868859387, 524735593, ( -1), 701147774, 678491714, 849730137, ( -1), ( -1), 221284096, 601733408, 357757465, 342147689, 543737951, 720742997, 200099998, ( -1), 771682764, 424658003, 395080572, ( -1), ( -1), 136637775, 320607288, 543674552, ( -1), 553603662, 338596723, 496297679, 883726468, 195612482, 558170219, 41274828, ( -1), ( -1), ( -1), 599596198, ( -1), 397415266, 919141175, 596435385, 698591141, ( -1), 996742298, 979603319, ( -1), 589961851, 746101910, 465335397, 780940040, ( -1), ( -1), 709332311, ( -1), 574758026, 217982766, 179395991, 99468575, 880092676, ( -1), ( -1), 650915363, ( -1), ( -1), ( -1), 40969454, 564347220, ( -1), ( -1), 892241723, 401878077, 377738553, 760127519, 227222618, 935372649, 944811451, 972810606, 452253539, 884781240, 928814192, ( -1), 869167345, ( -1), ( -1), 270768130, 973988712, ( -1), 266845158, ( -1), 507899916, ( -1), ( -1), ( -1), ( -1), 899787103, ( -1), 425862928, 52551711, ( -1), 464723523, 505011995, 171344016, ( -1), 340003450, 13907317, ( -1), 866933850, ( -1), ( -1), 420520968, ( -1), 2560670, ( -1), ( -1), 2847679, 616746491, 239581294, 699891813, ( -1), 932528729, 12233671, ( -1), 479936933, 914801997, 727029496, ( -1), 2658247, 215080197, 333125682, 644247156, ( -1), 318532072, 798227891, 136674014, 418512271, 733065898, 539406421, ( -1), 92866657, ( -1), 441604300, 125686214, ( -1), 121614269, 763606018, 463917458, 414404036, 904822732, 460783497, 23469170, ( -1), 949942059, 705650285, 831905098, 973499702, 198902138, 172268249, 129470879, 148055235, 616670813, ( -1), ( -1), ( -1), ( -1), 77708108, 853252823, 397286422, 988313564, ( -1), 851231227, ( -1), 214849480, 119567896, ( -1), 818490735, 976166944, 104684356, ( -1), ( -1), 65435890, ( -1), 739267231, 199726197, 803235959, 67891275, 71310758, 992855130, 645365749, 476851913, 599707777, ( -1), ( -1), 438824608, 785263960, 468571052, 328042818, 968811841, 29683472, ( -1), 855817029, 4076795, 136559342, 352520303, 364072221, 813208040, ( -1), 905673492, ( -1), 179812158, 661909458, 989841307, 615330714, ( -1), 226846271, ( -1), ( -1), 770843887, 615769369, 387564987, 283896373, 13180422, 721977869, ( -1), 716266139, ( -1), 212441153, 957762723, 189325886, 276195961, 379184081, 598696831, 703387357, 464397275, 524164896, 426185752, ( -1), 962447817, 973376912, 620813662, ( -1), ( -1), 921490818, 964869648, 294664972, 487929947, 671257417, ( -1), 604687540, 220646951, 513314477, 867824788, 450841896, 426787923, 776047410, ( -1), 609758464, 55006126, ( -1), 200119675, 961322741, ( -1), ( -1), ( -1), 495647929, 660077897, 548785186, 637410043, ( -1), 427311666, 946053263, 500634114, 836909233, ( -1), 141062005, ( -1), 458897617, 793993165, ( -1), ( -1), 924430174, 630275313, ( -1), 816950441, 616836447, 588648831, 479562466, 635063005, 675633875, 651903024, 56770507, 728421482, 542963804, 329716407, 442411146, 225531761, ( -1), ( -1), 649432838, ( -1), 881916178, 408579770, 924867747, 917823908, ( -1), 699692450, 761058126, 720148579, ( -1), 238459529, ( -1), 60722197, 588781620, 961848642, 88341404, ( -1), 106444614, 365411445, ( -1), ( -1), 418105224, 783419613, ( -1), ( -1), 459952185, 391580821, ( -1), 143678212, 46388921, ( -1), 546496995, 281335530, 352565748, ( -1), ( -1), ( -1), 809279680, 975144111, 660869928, ( -1), 501426252, 180622501, 899861662, 129330283, 768890439, 271197568, 755350351, ( -1), 673944280, 871230670, ( -1), 454459962, 392775228, 266832694, 50508872, 683325357, ( -1), 3434662, 362762148, ( -1), ( -1), 615395946, 856194265, 257551664, 283507987, ( -1), 337893260, 959019328, ( -1), 245278580, 743273804, ( -1), 915466190, ( -1), 695766682, 664129600, 239304247, 696234569, ( -1), 37760915, ( -1), ( -1), ( -1), 98147915, 838378718, 492463381, 795658518, 174824856, 798183615, 925684743, 473959603, ( -1), ( -1), 865742531, 395645586, 443956075, 194645193, 300192727, 453681623, 867229610, 439229915, ( -1), 15925224, 583969239, 394594858, 636529750, ( -1), 841015194, ( -1), 71474818, ( -1), ( -1), ( -1), ( -1), 916346163, ( -1), 160980498, 673076391, 986572805, 396151178, 739834686, 717380206, 132921910, ( -1), 166013748, ( -1), 330044949, ( -1), 259033468, ( -1), 593444963, 924387810, ( -1), ( -1), ( -1), ( -1), ( -1), 393586316, ( -1), 503454893, ( -1), 479332771, ( -1), 560588126, 855087974, 166483859, ( -1), ( -1), 271223292, 511312242, 353731065, ( -1), 302477862, 284749451, 57911036, 103451484, 914371972, 231264432, ( -1), 134992474, 904182957, ( -1), 282998358, 442418952, 990506579, 547793181, 977261069, 859443284, 594445165, ( -1), 486002454, ( -1), ( -1), 969106597, 725332131, 186465772, 135355846, ( -1), 242587042, ( -1), 410516686, ( -1), 163209863, ( -1), ( -1), 963486314, ( -1), 95800022, 320237105, 648011269, 721526133, 271483567, ( -1), 460502706, 863384959, 570107752, 863469771, 286122895, 199599165, ( -1), ( -1), 207705566, ( -1), ( -1), 579591913, 198862000, ( -1), 992430976, ( -1), 874848612, 327661220, 964959607, 558866043, 6381072, ( -1), 586544822, 862737380, 537212758, ( -1), 135147462, 84685437, 356416666, 929320266, ( -1), 766028759, 825824674, ( -1), ( -1), 910737828, 813799000, ( -1), 644721340, 714690750, 866923100, ( -1), ( -1), ( -1), ( -1), 720262418, 547770147, 548432215, 532889880, 924747911, 629737137, 111279075, ( -1), 996517632, 798903851, ( -1), 347026701, 448076107, 672414389, ( -1), ( -1), ( -1), 429648178, 236414062, 853583949, 433328943, 176860448, 529772378, 546351028, 900993311, ( -1), ( -1), 513327706, ( -1), ( -1), 328164274, 86806447, 898117970, 13084453, ( -1), 96396993, 559614040, 723451845, 53152905, 554985324, 638402014, ( -1), 997335800, 396860341, 961970869, 739584711, 223479396, 177441532, 568340681, ( -1), ( -1), 541316835, 636908377, 889585850, 733546377, ( -1), 688233527, 284211303, 601725512, 572713117, 346442042, ( -1), 736138397, 262193597, 508114236, 194123875, ( -1), 322093627, 397140038, 454966238, 92308386, 784232673, 233007847, ( -1), 574425176, 649529509, 256476395, 279461485, 993728165, 42403635, ( -1), 262266421, 327655115, 647824798, 631614567, 937741060, 307072839, 268073252, 353977923, 330201475, 706674057, 301326402, 585691610, ( -1), 201346226, ( -1), 554601036, ( -1), 180800536, ( -1), ( -1), ( -1), ( -1), 957895926, 520061999, 109918456, 758342725, 714890552, 2855972, 940567035, 933569853, ( -1), ( -1), 987149559, 320252545, 72175263, ( -1), 471567547, 126568514, 72480627, 528978710, 857129681, 542937148, 948225189, 435564629, 755483404, ( -1), 13295335, 369044166, 32608660, ( -1), ( -1), 207412425, 299413057, 370683703, 528881712, ( -1), ( -1), ( -1), 693115869, 744240742, 212015734, 377691022, ( -1), 503631203, 469345176, 58986756, 168512088, ( -1), 317920206, ( -1), 715345734, 271825514, 85799490, 945791367, 286474416, ( -1), ( -1), ( -1), 838944289, 70508284, 742434827, 371914245, 255503264, 375495590, 954416240, ( -1), 338750478, 601873197, ( -1), 305889461, 371470167, 200469243, ( -1), 909403001, 537198607, ( -1), 360896623, 566820429, ( -1), ( -1), 497767100, 800032583, 437110914, ( -1), 634207371, ( -1), 414928713, 941967633, ( -1), 359592404, ( -1), ( -1), 482254727, ( -1), ( -1), 584553654, 299637216, ( -1), ( -1), ( -1), 922166509, ( -1), ( -1), ( -1), 706905686, ( -1), 633381205, 970120677, ( -1), 76278088, ( -1), 301471928, 97208319, 725160644, 107721573, 423736832, 542237611, 622695544, ( -1), 605482946, 238091505, 70123597, 184589222, 108092512, 897907849, 969641691, 278899697, 77666625, 468414196, 583973358, 629146337, ( -1), 775540066, 223236673, ( -1), ( -1), 251382647, 856652306, ( -1), ( -1), ( -1), 101698235, ( -1), 713506751, 661550112, 816119092, 296314339, 684765966, ( -1), ( -1), 576828685, ( -1), ( -1), ( -1), ( -1), 626267793, 143919398, 728059818, 774529465, 334328700, 191045149, 979466215, ( -1), 370531307, 779121476, 324356569, 552136241, ( -1), 292150360, 764334971, 943124255, 924930887, 643342464, 782978492, 318760004, 808779528, 848825867, 4012601, 449993090, ( -1), 198974833, 117459539, 934926694, 779658942, 216122150, ( -1), ( -1), ( -1), 945410192, 30402577, ( -1), ( -1), 731280901, ( -1), 707713347, 718167577, ( -1), 268575360, ( -1), ( -1), ( -1), 343096822, 719366153, ( -1), 626147193, 451193434, 541153336, ( -1), 836722053, ( -1), ( -1), 455223161, ( -1), 473404210, ( -1), 583289816, ( -1), 945530787, 495351917, 151018373, ( -1), 923478210, 117561977, 218384880, 687572221, 147500427, 995315473, 258076642, 579565353, 619143882, 532783419, 944767125, ( -1), 486795877, ( -1), 978009080, 762348605, 355246229, ( -1), 983713573, 33429991, 187003400, 832764951, ( -1), 240826135, 835942948, 709593338, ( -1), 198892969, ( -1), 636152373, 737501001, 37355217, 201782154, 61436114, ( -1), ( -1), ( -1), ( -1), ( -1), 693760970, 710136675, 756497403, 451539851, 425102430, 942382606, 599889469, 832345689, 560660535, 107108220, 676774916, 313829003, 283332971, ( -1), 913743215, 799274439, 782973689, ( -1), 336861895, 687120341, 40101219, ( -1), ( -1), ( -1), 397088915, ( -1), ( -1), 131945226, 215826317, 451487901, 593522959, 163340873, ( -1), 945655414, ( -1), ( -1), 748462291, 334825363, 621718648, 858019633, 162337346, 264554292, ( -1), 272516637, ( -1), ( -1), 802430901, ( -1), ( -1), 671264601, 273804232, 8370130, 810908287, ( -1), 200091664, ( -1), 100612184, ( -1), 210871525, 386196771, 74933038, ( -1), 621082524, ( -1), 280430026, ( -1), 278606223, 310149853, 740529212, ( -1), 192218352, 433433766, 565600424, 900931949, 141652208, ( -1), ( -1), 718159734, ( -1), ( -1), 246025672, ( -1), ( -1), 309126142, 977535021, 649035669, 65612186, ( -1), 731308839, ( -1), ( -1), 738372771, 676958444, ( -1), ( -1), 492784765, ( -1), 776756549, ( -1), 709535685, 671030769, 441633214, ( -1), 201792177, 397769670, ( -1), 633097176, 361040346, 523607651, ( -1), ( -1), 314510177, ( -1), ( -1), 952138069, ( -1), 506745548, ( -1), 505857227, ( -1), 860106554, 316085384, ( -1), 329149059, 222783674, ( -1), ( -1), 900497186, ( -1), 694009999, ( -1), 79263058, ( -1), 226136973, 339145795, ( -1), 586610060, 97097201, ( -1), 560547940, 788044856, ( -1), 611341861, ( -1), 356574315, 297803396, ( -1), 303306453, 998890303, ( -1), ( -1), ( -1), 801023688, ( -1), 725702652, 237188671, 535503036, ( -1), 768933710, ( -1), 644115057, 630987112, ( -1), 992389050, 190284351, 973330329, 966745472, 837480920, 532772297, ( -1), 483668225, 405869594, 552124977, 188489353, 822464825, 607098209, ( -1), 109580181, ( -1), ( -1), 743435983, 461562404, 823961243, ( -1), 239528008, ( -1), 133214932, 391332553, ( -1), 398720653, 846421090, ( -1), 129637207, ( -1), 675946618, ( -1), 638260305, 419167174, ( -1), 903513247, 446263857, 274901609, ( -1), 974757445, 771022645, ( -1), ( -1), 962832777, 654077915, 712157414, ( -1), 164278617, 225558267, 833777552, ( -1), ( -1), 461047740, 89414482, ( -1), 938445979, ( -1), 96096560, ( -1), 331916146, 370932225, ( -1), ( -1), 987995759, 968772437, 686586829, 387435980, ( -1), 599289530, 776588888, 848728202, ( -1), 703175939, 49658800, 42373296, ( -1), 695229884, 133105395, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 46635450, ( -1), 601513288, ( -1), ( -1), 782452182, ( -1), 409920345, ( -1), 36072691, 645914557, 984083868, 620868517, ( -1), ( -1), 225743763, 800309976, 567186922, 278185958, 487856434, 950382610, 153430398, 549946966, 120841514, 416330106, 44638344, 741954025, 464369407, 399797956, ( -1), 544460431, 346830478, 23548186, 588389182, 818471364, ( -1), ( -1), 884507850, 841217449, 9333323, 373706261, 14006913, 2259644, 417638423, ( -1), 735926759, ( -1), 970450503, ( -1), 328075959, 374290309, 452141415, 55946724, ( -1), 160186153, 575748636, 143481848, 947625971, 429695538, 708797713, 384641481, 963101471, ( -1), 278747725, ( -1), 366108092, ( -1), 776976938, 493903794, 430786086, 227409849, ( -1), 59545364, 187990668, 825460121, 602174474, 473802552, 286111732, 803532197, 948432019, 699027466, 461611987, ( -1), ( -1), 129222799, 527746129, 588532709, 320673171, 517887524, ( -1), 332465572, 597631577, 642043596, ( -1), 626449889, ( -1), 107411225, 249319821, 865344932, 156761927, ( -1), 339675017, 533094955, ( -1), 355332912, 583684727, 409003565, ( -1), ( -1), ( -1), ( -1), 698885810, ( -1), ( -1), 827045252, 713362056, 515567278, 368422854, ( -1), ( -1), ( -1), 42467428, 519301901, ( -1), 600197003, 586062702, ( -1), 343663399, 655660048, 50618488, 986447374, 805529467, 993274490, 656984477, ( -1), 547490024, ( -1), 512827441, ( -1), ( -1), 1703838, 201251182, ( -1), 304057867, ( -1), 143574689, ( -1), 83020104, 422644728, 117141600, 37348468, 515748978, 485382340, ( -1), 796552897, 421697729, ( -1), 712828708, 45666202, 560139759, ( -1), 999900020, 8700846, 406516005, 983447976, 849845265, 920787515, 174271100, ( -1), 253962151, 202899896, 18338885, 722954826, 669063232, 96152631, ( -1), 277397337, 229271998, 829578499, 559588255, 536275918, 722470635, 112665363, 853054449, ( -1), 289428215, ( -1), 245938738, ( -1), 699170425, 642302744, 880823554, 815914619, 19533509, 595312272, 898047017, 658907329, 469110102, ( -1), ( -1), 699459434, 308817249, ( -1), 887688265, ( -1), 248793550, 332549330, 348666130, 970636062, 868302364, 964955840, ( -1), ( -1), 73494078, 247617190, 322805775, 432443490, 400854177, 76269636, 349891017, 181336070, 207821437, 911278959, 470617014, 890964337, 625349073, ( -1), 115275669, 961714853, 299399635, ( -1), 16578360, 202439786, ( -1), 912444240, ( -1), 530970564, 580207342, 218918819, ( -1), ( -1), 6796873, 832880114, ( -1), 388952031, ( -1), 559491898, 400797205, 59861562, 856252064, 103943972, 958855488, 934248132, ( -1), 371474801, ( -1), 664755201, 789071184, 183070359, ( -1), 296766991, 175241651, 884097476, ( -1), 118982282, ( -1), 683382907, ( -1), 281091595, 785163713, 930481756, 476433860, 407381362, ( -1), ( -1), ( -1), 652331586, 327926464, ( -1), 729823513, 419502742, ( -1), ( -1), 101130750, ( -1), 878097698, ( -1), 400307021, 710682031, 135254196, 646901264, 230807043, 66622816, 525283534, ( -1), ( -1), ( -1), 129142680, 818783755, 234019317, 963933385, 60908394, 333339487, 392334490, 395675777, 819076239, ( -1), 36352515, ( -1), ( -1), 213143996, 913516255, 560800904, 975819899, 883331138, 85451251, 946274317, ( -1), 372301942, 405050938, 453607693, 422715353, ( -1), 824245940, ( -1), 859421409, ( -1), 74467039, ( -1), ( -1), ( -1), 714188759, 955543773, 661855096, 270158593, ( -1), 290526797, ( -1), 638992339, 699000028, 878807401, 679629962, ( -1), ( -1), 675653103, 330667577, 404257587, 311048212, 164492694, ( -1), ( -1), 702688358, 593033065, 846839566, 384626329, ( -1), 509729607, 451857407, ( -1), 490654487, 467404719, 601042407, 54210619, ( -1), 620035732, 909838113, 194118637, ( -1), 700562694, ( -1), ( -1), 401829302, 407704229, 93555389, 167926819, ( -1), 169285729, 552339580, 982507171, 309979829, ( -1), ( -1), 455375859, 152173071, 35106556, 704206101, 589832413, 743988302, ( -1), 847573014, 207269655, 496386623, 805195046, 200779247, 330196314, 117637235, ( -1), ( -1), 577605724, 835205170, 413235717, ( -1), ( -1), 742719318, 470964531, 414635751, 556610663, 343305219, 51125729, ( -1), 97480388, 853751585, ( -1), 791632847, ( -1), 813056034, 730947151, 312235354, ( -1), ( -1), 558743389, 626678239, 391454730, 453434803, ( -1), 677120197, 565128116, ( -1), 428994166, 658117984, 214500174, 511572813, ( -1), 93167379, 433102819, 84652849, 545898030, 856151784, ( -1), 712585397, 765237845, 347074348, 799859327, 178650195, ( -1), 130683960, 625954386, 821506373, 590695051, 971650070, 587985456, 549137392, 396578666, 208986670, 336732403, 228081420, 188401589, ( -1), 876756046, 346884472, 898903642, 620364890, ( -1), ( -1), 387212850, 830765681, 607910572, 213487871, ( -1), 618775089, 829930757, 15587706, 833750930, ( -1), ( -1), ( -1), 840166261, 212339402, 469543205, 911057457, 744961091, ( -1), 116415787, ( -1), 274264714, ( -1), 224953289, 466501483, 662654925, 824696043, 777304941, 320117770, 447211005, ( -1), 10733550, ( -1), ( -1), ( -1), 802825461, 954118579, 61705115, 191523492, 425043062, 358807620, 824770792, ( -1), 212822542, ( -1), ( -1), 284886477, ( -1), 906371441, 123954482, ( -1), 556125931, 944620523, 717108496, 788232287, 220917495, 195277862, 680513929, 362072119, 620123253, 373860079, 79382265, 948662511, ( -1), 809415858, 744065438, ( -1), ( -1), 692165029, 735410206, 591546321, 353985849, ( -1), ( -1), 727014089, 984899538, 786945903, 545571959, 840855769, 355533921, ( -1), 636653875, 738732868, 218443536, ( -1), 880297819, 161834665, 504427549, 554912156, 820829494, ( -1), 28165162, 470704349, 658152889, 608142219, ( -1), ( -1), 153665930, 365584005, 522376543, 905347229, 892623312, 980022281, 338107163, ( -1), 494071870, 10477951, ( -1), 441470715, ( -1), 596307150, 69744747, ( -1), ( -1), 327387232, ( -1), 38427427, 195335575, ( -1), ( -1), 128174640, ( -1), 696056687, 44973569, 720686163, 75067008, 175981964, 138486260, 617259635, 92545789, ( -1), 76010731, ( -1), 890981744, ( -1), 517170755, 735083283, 228712616, 983587173, ( -1), ( -1), 263387403, 971542780, ( -1), 390495906, 820996727, 302454961, ( -1), 86066154, ( -1), ( -1), ( -1), ( -1), 683078693, 693861886, 570029456, 169916168, 30521240, 313502900, 736735048, 970878698, 100224881, 624282302, 29871959, 137433209, ( -1), ( -1), 938858826, 496642922, ( -1), 166971965, ( -1), 810923665, 972344566, ( -1), 800388893, 385364382, ( -1), 480313533, 33872649, ( -1), 108492832, 83141432, ( -1), 692332553, ( -1), ( -1), ( -1), ( -1), 575451482, 163504170, ( -1), 759506976, 892178674, 624400267, 807307319, 87218641, ( -1), 412406358, 594508953, ( -1), 448446912, 960382799, 585733431, 752551010, 210038625, ( -1), 593652726, ( -1), ( -1), 866832988, ( -1), 690362964, 215241904, ( -1), ( -1), 155963975, ( -1), 166798386, ( -1), 541209785, ( -1), 138897062, ( -1), 409345363, 430958184, 947250974, 639489598, 803707629, ( -1), 624950269, 884583731, ( -1), 917654065, ( -1), 698775928, 119421367, 793917794, 619029347, 280164205, 635337241, ( -1), 849421742, ( -1), 679444669, 216241091, 914721038, 11971503, 302506594, ( -1), 400239321, 203689527, 779599388, 755184797, 843850063, 87947027, 305033847, 79344073, 197602709, 864311725, 874023813, 357270779, 361658476, 71876533, ( -1), ( -1), ( -1), ( -1), 633689560, 120933219, 859934457, 520476326, ( -1), ( -1), 586292099, 164081480, 960555275, 737864794, ( -1), 724591534, 169912119, 461861557, 2621765, 152219019, 679280525, 671837554, 324489764, 510400462, 616126104, 7154798, ( -1), 828690926, ( -1), ( -1), ( -1), 899167743, 521867777, 643927026, 909211977, 270476307, ( -1), 24818970, 30320246, 645751639, 195280508, 275684222, 172920068, 98259477, 225532878, ( -1), 774294639, ( -1), ( -1), ( -1), ( -1), 460490806, 717912399, 197040424, ( -1), 332172804, 865089930, 224423833, 876158705, 524292236, 38465349, 815666448, 351350956, 126849003, ( -1), ( -1), ( -1), 6221575, ( -1), 225948751, 653543546, ( -1), 937009371, 81410031, 335191044, 599434682, 888427144, ( -1), 101531917, 983657565, ( -1), ( -1), 432397391, 210197878, 999585172, 730488709, 174177256, 743875383, ( -1), ( -1), 562231164, 854132680, 727418980, 421325081, ( -1), 274654565, 114169410, 507915053, ( -1), 813091661, ( -1), ( -1), 80894041, 931764293, ( -1), 654608342, 205798679, 327776558, ( -1), ( -1), ( -1), ( -1), 997023538, 317616545, ( -1), 336642599, ( -1), 656816560, 306407873, 385354349, ( -1), 554035614, 436170063, 515544809, 863726006, 811062939, 647640320, 478959638, 554995875, 110167544, 218554015, 464608035, 758200852, ( -1), 509844851, ( -1), 82816154, 547305311, 953049089, 759065684, 404234860, 535997462, 819321833, 443679345, 517218132, ( -1), ( -1), ( -1), 885124334, ( -1), ( -1), 141063388, 360796753, 790601896, 509616216, 804960150, 66538063, 170003936, 328728250, 203824188, 757083417, 675748574, ( -1), 516065526, 604743129, 704202092, ( -1), ( -1), ( -1), 865935296, ( -1), 326063854, 624656309, 766586762, 557714752, 500047998, 538229413, 396314602, 425684199, 978876821, ( -1), ( -1), 613390501, 545036272, ( -1), ( -1), 295303834, 600891453, 388349262, ( -1), 54358109, ( -1), ( -1), 749570890, 443831629, 826499980, 497357206, 53196914, 565872429, 644302690, ( -1), ( -1), ( -1), ( -1), 557342837, ( -1), ( -1), 224384386, 174359880, ( -1), 481609147, 310089428, 544583863, ( -1), 291760819, 363341876, ( -1), 427524666, 522956045, 382714401, 928318311, 268371758, 879288743, 786845635, 671580740, ( -1), 601192416, 920095687, 914472037, ( -1), 744592218, ( -1), 898596067, ( -1), 449300007, 334277226, 922978172, ( -1), 824322638, 341223009, ( -1), ( -1), 996350533, 756778439, 24284802, 367658911, 961596386, ( -1), 434856053, ( -1), 605723219, 431897754, ( -1), ( -1), 970729026, 542853736, 977257504, 844972163, 612988374, ( -1), ( -1), 469445606, ( -1), ( -1), 972099770, ( -1), ( -1), 969030182, 738596814, 561895150, ( -1), 155873452, 888597630, ( -1), 925602528, 367337573, ( -1), ( -1), 400421232, 848554163, 807686667, 431856515, 520892194, 461319785, 967262737, 74787580, 612398744, ( -1), ( -1), 289819181, 448521858, 361028580, ( -1), 914761042, ( -1), 159242738, 950492876, 566835309, 240521698, 635659156, 398001994, 115229043, 204359511, 264763829, 160209775, 201197264, ( -1), 751003597, 453086095, ( -1), 12333652, ( -1), 892465169, ( -1), 133196892, 845976486, 521326041, 109518575, 768288342, 557816529, 441402837, 294816428, 685543481, ( -1), 942433193, 58495137, ( -1), 919082898, 312183720, 123088786, ( -1), ( -1), 11225410, ( -1), ( -1), 396274543, 302181020, 77932486, 708969068, 178011151, ( -1), ( -1), ( -1), ( -1), 624817901, 574919384, ( -1), ( -1), 282382003, 456573938, ( -1), 28565665, ( -1), ( -1), ( -1), ( -1), 680763456, ( -1), 58509578, 617225532, 19247150, ( -1), 640109933, 417866411, 103161710, 245901117, 778464071, 38277049, 67378008, 662769995, 825556008, ( -1), 896464894, ( -1), 921756635, ( -1), 528935858, 546073653, 868509018, 210278005, ( -1), 502093894, 564205865, 625116226, 721945417, ( -1), 864088704, 286890515, ( -1), 14282920, 789930032, ( -1), ( -1), ( -1), 851393555, 723756160, 582809718, ( -1), 696430950, ( -1), ( -1), ( -1), 686408904, 293692050, 380939056, 637996603, 134759608, 186627287, ( -1), 849590901, 166749636, ( -1), ( -1), ( -1), ( -1), 593205198, 350852566, 724141494, 673833429, ( -1), 939950425, 142184388, 859482314, 6739853, 590749458, 24987546, 847609754, 934816219, 627777054, 167363513, 668990137, ( -1), 214172675, ( -1), ( -1), 577028263, 951457595, ( -1), 776781753, 236733994, 623488490, ( -1), 296114573, 19604828, 762248880, ( -1), 756560235, ( -1), 993818464, 142079482, 52707799, ( -1), 264688145, 984582209, 392668334, 126866481, 400215567, 848069182, ( -1), 206482143, 696578179, ( -1), 841329955, 196126347, 644216000, 949480448, 998479068, 811085600, ( -1), ( -1), 563779560, 306131415, 501329593, ( -1), 669637360, 25779075, 295448539, 565940764, ( -1), 886421697, 797502615, 433912283, 624853122, ( -1), 166607146, 84078041, 480677969, 97420566, ( -1), 340956925, 284447280, 709540345, 55060099, 379266645, 143036264, 511369013, 479407631, 59597791, 712103670, 844487009, 392358555, ( -1), 662326723, 49724964, 533273277, 168324819, ( -1), 151006043, ( -1), 275467164, 358213544, 183961196, ( -1), 193945635, ( -1), 259849980, 379757862, ( -1), ( -1), 724055984, 792141479, 686666705, 619907557, ( -1), 684866394, ( -1), 636558050, 595342173, 832845729, 956020995, ( -1), 331937030, ( -1), 322808546, 165929260, 57233158, ( -1), 33588592, ( -1), 356812225, ( -1), 367252202, 372072543, 49369484, ( -1), 229931995, ( -1), 900190585, ( -1), 523053296, 436887927, 212883795, ( -1), ( -1), 750315005, 160153154, ( -1), 734208433, 853326374, 916456664, ( -1), 54503077, 878423693, 986976178, 786069204, 365591211, ( -1), 733542182, ( -1), 142657690, ( -1), 134682495, 158019554, ( -1), ( -1), 993729234, ( -1), 555855212, 465746306, 689473891, 968360537, ( -1), ( -1), 339130596, 175262424, 595519543, 218448448, ( -1), 267229178, 919610628, 724744069, ( -1), ( -1), ( -1), 892055053, 744037344, ( -1), ( -1), 843175385, 369400817, ( -1), 618880217, 768049258, 422100206, ( -1), 632537943, 613789323, 101663443, 797804368, 594887765, 512827767, ( -1), 578715180, 424864579, 934940146, 550482916, 564552698, 355843808, 313765680, 966328909, 403574411, ( -1), 108657695, ( -1), 22097391, 189429939, 786413669, ( -1), 281166213, 783524533, 140701111, 689150231, 563993271, 269346340, 89523573, 298359924, 495410011, 22946019, 77483426, 931702890, 457430368, 595131523, ( -1), ( -1), 34445370, ( -1), 935440403, 865156926, ( -1), 284775756, 450417628, 274763628, ( -1), ( -1), 680822394, 139578493, 467000628, 331948796, ( -1), ( -1), 904923276, ( -1), 483359997, 588882190, ( -1), 3713684, ( -1), ( -1), 625409909, 302431326, ( -1), 540563568, ( -1), 685997528, 724176203, 867393668, 228972131, 905833535, 461012903, 330738945, ( -1), 594315807, 705093493, ( -1), 589807720, ( -1), 671455142, 647283182, ( -1), 253212995, 771325789, 288726210, 932419671, 10903196, ( -1), 926873602, 115584314, 926381629, 142092348, 148262568, 202647826, ( -1), 311119961, 337531416, 93317057, 616315042, ( -1), ( -1), 8955423, ( -1), 476315935, 572097554, 545314147, 619058186, 269387110, 913585419, 867122456, 110362837, 316722051, ( -1), 660723445, 609429134, 402072884, 607581340, 473062145, ( -1), 532787270, 123453533, 722006222, 175388435, ( -1), 207974501, 710431815, 589030259, 220765304, 646895190, 861241061, 454569510, 638191774, ( -1), 882987801, ( -1), 392978715, 993978995, ( -1), ( -1), 70756201, ( -1), 515721465, 849685786, 77931296, ( -1), 7368392, ( -1), 811334157, ( -1), 186888299, 663183151, ( -1), 555958349, ( -1), 102744218, 370564336, 824599146, 956517862, ( -1), ( -1), 37907550, 642662881, 860881360, 942714590, ( -1), ( -1), ( -1), 204587772, ( -1), 222224722, 477710560, ( -1), 967733937, 971556624, 180019481, ( -1), 271735358, 364841176, 785177194, ( -1), 528407079, ( -1), 352833793, ( -1), 239610546, 961044999, 465160544, ( -1), 478460466, 307878202, 300807134, 306729060, ( -1), 278571129, 972444164, 707844249, 475113123, 529995197, 727982349, 412544133, ( -1), ( -1), ( -1), 794832756, ( -1), 719135538, 179550285, 850911695, 74599487, ( -1), 371287063, 26113039, 492169367, ( -1), 208609468, 819786669, 413461051, 700740207, 627328041, ( -1), 674274686, 946786988, 943011336, 996879656, 44303869, 958345643, ( -1), 469123433, 72552664, 545726079, 97350761, ( -1), ( -1), ( -1), 67176892, 683467340, 186078028, 384138036, 869189804, 453595426, 868214979, 274108014, 729438376, 137775770, ( -1), ( -1), ( -1), 154759140, 994230191, ( -1), 943007684, 331248308, 799671162, 888001088, ( -1), 229325976, ( -1), 879563215, 291647564, 683146989, 849428047, 60948779, 563510460, 528406199, 881078814, 612773768, 4665318, 177082464, ( -1), ( -1), 21424014, ( -1), 890699241, 483451339, ( -1), 770137379, ( -1), ( -1), ( -1), 729743101, 644386503, 226015246, 619266804, 503509373, 14272527, 917218305, ( -1), 456649810, 735328881, ( -1), 565751169, 302928294, 801564585, 806378277, 364774707, ( -1), 42090261, 629024678, ( -1), 698411763, 809628207, 694009463, ( -1), 485520662, ( -1), 932663309, 997983353, 324192751, 246806822, 335630638, 248710273, 360283636, ( -1), ( -1), 242811355, ( -1), ( -1), ( -1), ( -1), ( -1), 860297521, 409726797, ( -1), 24689259, 675926714, 244844887, ( -1), ( -1), ( -1), 534981046, 128578758, 990927500, 594394665, ( -1), ( -1), 400628933, 215275708, ( -1), ( -1), 913047037, 746411232, ( -1), 943292407, 867126021, 36571773, 975410385, ( -1), 732272990, 195005935, 33685337, ( -1), 874526813, 8664528, ( -1), 251009265, ( -1), 369844324, 270761413, 7609538, 184522681, 401702176, ( -1), ( -1), 296145970, 452155045, 509353215, 676255361, 365769763, ( -1), ( -1), 61300781, 606462429, 341794081, 207474251, 531317160, ( -1), ( -1), 384800359, ( -1), 848918555, 965129234, 861740034, 302969223, ( -1), ( -1), 684563616, ( -1), 203130220, 131646304, 31761768, ( -1), 624731099, 183837965, 797371859, 641767688, 105716895, 392267008, 956804493, ( -1), 339840882, ( -1), 979242210, ( -1), 170765779, 575846708, ( -1), 106683991, 427544308, ( -1), ( -1), 446568428, 487191533, ( -1), 93677016, 758000734, 919680627, 414883453, ( -1), ( -1), 983868606, 657639145, 876179731, ( -1), 954001093, 307043498, 327653981, ( -1), 242326595, 339974329, ( -1), ( -1), 999021929, 98411088, 839779314, 555105687, 391383628, 82927353, 689222439, ( -1), 876275883, 130902343, 542901775, 996878290, 197285804, 788842414, ( -1), ( -1), 236487477, 324106646, ( -1), 282826518, 189229341, 951236357, 642592046, ( -1), 313364223, ( -1), ( -1), ( -1), 183263125, ( -1), 927893627, ( -1), ( -1), ( -1), 148777016, 374716053, ( -1), 173369689, 156646515, 877974038, ( -1), 452020694, 351633555, 509044187, ( -1), 153331293, 399797334, 79029734, 703282650, 450360616, 176622947, 78195022, 864531520, ( -1), 492408066, 410138218, 792997904, ( -1), 560124971, ( -1), 191315542, ( -1), 560971034, 673136861, 416336143, 45840630, 813174390, 682016080, ( -1), 385279350, 173912468, 371164193, ( -1), 364940861, 267529378, 674497295, 609198650, ( -1), ( -1), 320287452, 139250321, ( -1), 451117131, 596454095, 628609834, 783023019, ( -1), 377324330, 440737983, 41174342, 943175014, ( -1), ( -1), 80507975, 655172252, ( -1), 670838650, 604243101, 586483048, 544867176, 901224296, ( -1), ( -1), ( -1), 333046893, 393734304, 703070730, 546127026, 140930389, 429936948, 561582689, 5446193, 611502691, 330564197, 218078680, 839250535, 501380097, ( -1), 17631050, 80818945, 390073302, 776611322, 995498808, ( -1), 101969630, 267482305, 53611377, 165412893, ( -1), ( -1), 229834046, 723406870, ( -1), 811173355, 667602792, 342233400, 421190815, ( -1), 55847556, 968316580, 807963742, 507287344, 176699438, 608533809, ( -1), 16390333, 166435738, ( -1), 751895064, 664651290, 833367307, ( -1), 545367310, ( -1), 474316605, 70891386, 813915801, 735864863, 664469844, 743841710, 918426184, 656710135, 439361620, ( -1), 599238254, 21405018, 880145306, 838701981, 897529102, 534248334, 513238170, ( -1), 534296900, ( -1), 874689324, ( -1), ( -1), 180781132, 839171163, 267529363, 914332455, 486309264, 347311029, ( -1), 300801452, 828431286, 154845364, ( -1), ( -1), 705352109, 142313080, 811196551, ( -1), 166256269, ( -1), 751453787, 783711677, 131103158, ( -1), ( -1), ( -1), 236986434, 346417661, 916648696, ( -1), 483475813, ( -1), ( -1), 719971102, ( -1), 439869600, 45503992, 357800944, 939570424, 258350849, 66603492, ( -1), 525560422, 293039603, 741338371, 573212530, 534343359, ( -1), ( -1), 799247824, 808757743, 170501096, 730331142, 365404871, 606450741, ( -1), 453690946, 970221660, 384280468, ( -1), 84946789, 415498163, 979944156, 933862518, 837635087, 997032188, ( -1), 362737165, ( -1), 974964412, 882820811, ( -1), 952327687, 787999850, ( -1), 396321018, 808918726, 113896112, 650796298, ( -1), 193206683, 967677343, ( -1), 750012499, ( -1), 339230572, 891905678, ( -1), ( -1), 555757071, 524359488, ( -1), 853971916, ( -1), 475791838, ( -1), ( -1), 929253984, 572658001, ( -1), 596495333, ( -1), 163210426, 257753630, ( -1), 94718736, 548141660, 60001222, 848664795, 954275794, ( -1), 708394865, 199024646, ( -1), ( -1), 846745804, 347898510, 888679786, 743138028, 451961203, ( -1), 819921716, 110709770, 683037267, 767349447, 971190597, ( -1), 261724190, 59914806, 784954766, ( -1), ( -1), ( -1), 496147705, 9375004, 432299787, 350301347, ( -1), 468676664, ( -1), ( -1), ( -1), 480320449, 359764932, 838334936, 331966917, 422645167, ( -1), 338558256, 778889702, 486228842, ( -1), 647450112, ( -1), 366291100, 708289934, 461819492, 227209899, ( -1), 126123473, 643721694, 698284714, 132866667, 957391295, 718319455, ( -1), 406286513, 469508051, 454440829, 474039800, 591237534, 502991581, 655993249, 331881643, ( -1), ( -1), 187838890, 625089847, 638128951, 770114946, 62883056, 780431824, 653893571, ( -1), 793748516, 629938026, 822621171, 669200299, 364807347, ( -1), 704906788, 261145105, 727130174, ( -1), ( -1), 241015809, ( -1), ( -1), 790760762, 256054437, 419422751, 743884323, 781251905, 272826893, 96708202, 567664536, ( -1), 665746227, ( -1), 142646395, 302782007, 676524503, 388956440, 445486710, 20900151, ( -1), ( -1), 542550025, 443605612, ( -1), 935285421, 973085060, 280317283, 384014205, 331358765, ( -1), ( -1), 907656379, 701767369, 788414877, ( -1), 391771545, 119078352, 382598632, 783643573, 439591729, 520974007, 66763283, 24864722, ( -1), 593846998, 848913362, 302505701, 866388463, 139670604, 60380919, 298129053, ( -1), ( -1), 326228379, 485663932, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 798245148, 20507005, ( -1), ( -1), ( -1), 332041047, 34153303, 411539329, 198366267, ( -1), 567749453, 84580507, 557052228, 480930016, ( -1), 935565767, ( -1), 899917939, 742919833, 392580445, 237004428, 416599021, ( -1), 810677992, 558739038, ( -1), 750915792, ( -1), 17535327, ( -1), 580439181, 569462085, 149913018, ( -1), 579525065, 912674467, ( -1), 266003729, 666294612, ( -1), 346515821, 812004403, 633513350, 689155695, 527661979, 382143907, ( -1), ( -1), 716917688, ( -1), 681642616, 114401849, 755236820, 479323979, 278143675, 359108067, 449363429, 992202477, ( -1), ( -1), 940066603, 274312191, ( -1), 366643632, ( -1), 966219415, 756486560, ( -1), 494412162, 882448828, 437894508, ( -1), 700575520, 94217916, 357415771, 186759060, 709785521, 832445056, 995075291, 577444847, 789820475, 555404449, ( -1), 142190390, 434158597, ( -1), 87844934, ( -1), 255471322, 258529034, 528281836, ( -1), ( -1), ( -1), ( -1), ( -1), 901556227, 456177135, ( -1), ( -1), 647748910, 768948564, 675256784, ( -1), 705504423, 294936595, ( -1), 415546143, ( -1), 930051875, ( -1), 983967073, 576009906, 475530822, 368157208, 787368764, 567544838, 222517240, 509585421, 42682533, ( -1), 602956226, ( -1), 190223892, ( -1), 19714482, ( -1), ( -1), ( -1), 867267216, 383981856, 519156901, 24458765, ( -1), 336032213, ( -1), 850231734, 227441809, ( -1), 234607985, 553083019, ( -1), ( -1), ( -1), 720689782, 521313836, 748072371, ( -1), 874388507, 660857150, ( -1), 542774472, 902183381, ( -1), 774440702, ( -1), 470749673, 401271253, 268099527, 272482009, 480069236, 481983465, 681016199, 908187690, 450807969, ( -1), 774052452, 145471820, ( -1), ( -1), 295241882, 549555215, 261861174, 960966190, 4186168, 679646786, 646884933, 783275935, 40733098, 509382126, ( -1), 37221263, 737276868, 586347108, ( -1), 122083859, ( -1), 808101924, 851444567, 676317438, 761691206, 780235725, 656480518, 276479410, ( -1), 70278457, 865585533, 437195530, 773901225, 650829925, 679072292, 503811113, 465004284, ( -1), 212071378, ( -1), 297338789, 792741581, 852787036, 800258287, 818809826, 44225527, 637121721, 360642489, 805771434, ( -1), 614049250, 824474075, 601939354, 723647510, 736204402, 40566200, 669981924, 433682806, 456502874, 96563300, 259689024, 324237036, 305649822, 169989409, 895204418, 441982242, ( -1), 811292378, 927444167, ( -1), 628386080, ( -1), 72471117, 889403210, ( -1), 648261190, ( -1), 64519575, 208441314, 353471227, 38308290, 423266976, 90142191, 122886382, 403108360, 123259025, 428486043, ( -1), 157573408, 297491708, 735192731, 717850386, 485256063, 467427084, 587917414, 842667020, ( -1), 315621597, 988325090, 679581605, ( -1), 45459482, ( -1), ( -1), 42690819, 793825933, ( -1), 947443981, 742569575, ( -1), 122341955, ( -1), ( -1), 857798804, 18679092, 359617791, ( -1), 535932985, 537673821, ( -1), 406970501, 862791385, ( -1), 378197885, 478660042, ( -1), ( -1), ( -1), 127798735, 219865382, 11074206, 845018314, ( -1), ( -1), ( -1), 717654287, 306737702, 812982281, 470681730, 198679580, 866941186, 395734972, 249197085, ( -1), 291599982, 745492491, 16586439, 375945424, 775034407, 859156974, ( -1), ( -1), 811319360, ( -1), 31343494, 825993347, ( -1), ( -1), 863219585, 422390494, ( -1), ( -1), 112171807, 691869641, 912502793, 713773264, 442547915, 542880240, ( -1), 833174977, 282768879, 136712132, ( -1), ( -1), 428638594, ( -1), 836875097, 349797460, ( -1), 390633162, 684563974, ( -1), 517024523, 857902700, ( -1), ( -1), 874122317, 894193860, 844668792, 780546874, 357970067, 588762560, 116631402, 402478083, 883493789, 301987920, 253407886, 280166831, 338483477, 658901394, 814628470, ( -1), ( -1), ( -1), ( -1), 486958945, 178970987, 258058663, ( -1), 138933314, 719546464, ( -1), 743448999, 283237694, 467722078, ( -1), ( -1), ( -1), ( -1), 507409266, ( -1), 884604079, 723651311, 556863882, 384470595, ( -1), 47503796, ( -1), 19966823, 180719504, 313898167, 709165015, 956017071, 324230231, ( -1), ( -1), 82114709, 492787354, ( -1), 584155151, ( -1), ( -1), 135790835, 580200508, 193336590, 734263349, ( -1), 644311502, 327565581, 563280010, 429051460, 976152125, ( -1), 299107161, 831840248, ( -1), 861738654, 217690887, 437077037, 810260330, ( -1), ( -1), 685056845, ( -1), 280099020, 833414612, 739756612, 768997066, 193520053, ( -1), 358260932, ( -1), ( -1), 307901908, 909126725, 597505866, 50816852, ( -1), ( -1), ( -1), 138279608, ( -1), 297207586, 35340423, 67640137, 647457556, 287031425, 121146392, ( -1), 983113122, 291376355, ( -1), ( -1), 529399740, 290523878, 764941965, 114995227, 237672167, 552426995, ( -1), ( -1), 172267446, ( -1), ( -1), ( -1), 312843950, 39914362, 464418586, 367516322, 739158968, ( -1), 797377438, 787991561, ( -1), ( -1), ( -1), 679660086, 603156522, 632707059, 213038606, ( -1), 706036299, ( -1), ( -1), ( -1), 932054131, ( -1), 533093866, ( -1), ( -1), 120935346, 488710357, 912675453, 345919684, ( -1), 790712511, 771395752, ( -1), ( -1), 651556352, 575326125, 529544569, ( -1), 417949908, 473507285, 780017346, 942927717, ( -1), 915005310, ( -1), 804442602, 741406355, 567271449, 429782911, 537497499, 218349037, 34307508, 380532833, ( -1), 797411505, 296439473, 689881830, 583649169, 247371237, ( -1), 136694185, ( -1), ( -1), ( -1), 335091660, 184923713, ( -1), 530723804, ( -1), 317287896, 345389959, ( -1), ( -1), 579183872, 851370771, 954899738, 712880318, 962614470, 88302610, 932471714, 650566619, 995916286, 600084629, 32010552, ( -1), 951301050, 698275242, ( -1), 515697462, ( -1), 543933765, 358844444, 800483183, 142290836, ( -1), ( -1), ( -1), 649823310, 181670857, ( -1), ( -1), 731532104, 409338579, 248775154, ( -1), 771778324, 118318225, 382589552, ( -1), 375590153, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 87238692, ( -1), 867927489, ( -1), ( -1), 905014719, 84583155, 714715688, ( -1), 858712420, 846531951, 889432645, 5280827, ( -1), ( -1), 126719269, 322351696, ( -1), ( -1), 884752090, 699822714, 901861607, 310052324, 196417772, 83757457, ( -1), 980125888, 429992467, 459990229, 760645816, 735054500, 52541682, 490463713, 231873670, 944125073, ( -1), 752742243, 111323690, 166564571, 432209351, 679952878, 282890048, 861212684, 577433086, ( -1), 252093093, ( -1), 209834527, 630843943, 724627605, 493020900, 991171833, ( -1), ( -1), 837988189, ( -1), 395520614, 545133937, 850677160, 723165721, 29524430, 454128522, 56395280, 513570709, 944466302, 481244360, 247444540, 892344413, 197615779, 891885245, 219926029, ( -1), 396652979, 632413393, 128522372, 972072625, 198481863, ( -1), 490469273, 671163124, 542659707, ( -1), 616616669, 434542836, 487082236, 274701396, 230783209, 604019110, 800749908, 326054212, 780839576, 787888884, 74072588, 763329411, 102425729, 770884342, 388186440, 480569611, 116458010, 507787316, 863501429, 673100913, 746895454, 662404351, 268036774, 253640386, 842721084, 939823092, 31804378, 533488885, 878335664, 329241946, 733825995, ( -1), 274446126, ( -1), 641941761, 479375454, 61963494, ( -1), ( -1), ( -1), ( -1), ( -1), 780712037, 260042257, ( -1), ( -1), 757587449, 534377194, 120481285, ( -1), ( -1), ( -1), 285645414, 300201568, 941532055, 592217121, 629357075, ( -1), 63560849, 660977493, 176593454, 740928472, 344193425, 416962950, 849428271, 279995899, 227007890, 993280382, 424542177, ( -1), 267153851, 273751821, 604793332, 676474665, 971786915, 99324040, ( -1), ( -1), 721548678, ( -1), 231498764, 594221814, 192672209, 115842917, 982113870, ( -1), 208804552, ( -1), ( -1), 214639681, 957728163, 832470371, 811959955, ( -1), 504294506, 546064246, 722923034, 456295028, 899811131, ( -1), 554528295, 664770835, 432843438, 65590233, 632443715, 917932335, ( -1), 33852286, 958214185, ( -1), ( -1), ( -1), 4672859, 166049361, ( -1), ( -1), ( -1), 954861715, 763431902, ( -1), 939234609, 119251655, 736905576, 58288645, 691884058, ( -1), 911003846, 693321515, 796280386, ( -1), 582214266, 430245671, ( -1), ( -1), 810823428, ( -1), 711324935, 237437972, ( -1), 214868198, 498284496, 574285590, ( -1), 823616534, 474817922, 14568702, 28785102, 874032568, 651287833, ( -1), ( -1), 588425508, ( -1), ( -1), 424851429, ( -1), 58358326, 977944548, ( -1), ( -1), 211864014, 278585355, 885250635, 865870409, 474984350, 203998590, ( -1), 347636398, ( -1), 378613597, 653879755, 244770263, ( -1), 259428267, 323226468, 321175080, ( -1), ( -1), 611191395, ( -1), 812135456, 905245138, 282013499, ( -1), 63489645, 586194430, ( -1), ( -1), ( -1), ( -1), 30258675, 921769438, 463660626, ( -1), ( -1), 282263296, 378169854, ( -1), 28041256, 490916142, 717951968, ( -1), 342758627, 351493112, 396697459, 255515748, 410325844, 792851187, 850747510, 51384527, 195419178, 564808156, 826828221, 630061140, 316865321, 823050293, 464584415, 424475554, 162467512, ( -1), 10147878, 795556733, 383468383, 104730535, 259328594, 480649177, 282976293, 906886795, 715389601, 877870529, 294143594, 627133886, 191593247, ( -1), 844309437, 93978646, 80515643, 976876213, 86434767, ( -1), 819943344, ( -1), 403341912, 651342974, 882456736, ( -1), 586459378, 494012806, 378398871, 828457079, 294504307, 417213397, 179573797, 630967551, 711635832, 764810323, 235097332, ( -1), 925551394, 498615502, ( -1), 454981724, 73884785, 32197897, 945855056, 198055894, ( -1), 305207054, ( -1), ( -1), 378983731, 83547935, 746444398, 697653064, 823839835, 187509210, ( -1), ( -1), ( -1), 423037623, 16651400, 99016962, 975855874, ( -1), 503008828, ( -1), 918709900, 757754734, ( -1), ( -1), 335761255, ( -1), 926900614, ( -1), ( -1), 101304601, 953345517, 80344951, 194118985, 31013321, ( -1), 498105685, 849265484, 538679775, 935492404, 825375802, 913956582, 867924920, 589467063, 587328773, ( -1), 545621925, 96201333, 748148783, 355550198, 283855386, 474997638, 660188071, 971962611, ( -1), ( -1), 587511952, ( -1), ( -1), 559604341, ( -1), 844517800, 521771782, 321598728, 79866734, 136386595, ( -1), 777499589, 347337266, ( -1), ( -1), 928939697, 704625551, ( -1), 354823965, 82864311, 360426734, 657425597, ( -1), 794506858, 228422119, ( -1), 817275580, 626767225, 685848190, ( -1), 643320038, 308986591, 193180769, 417970416, 185509366, 703411016, 532754322, 428549494, 121349869, 139015582, ( -1), ( -1), 674393719, 73712920, ( -1), ( -1), 424132313, 489723152, ( -1), 803594256, ( -1), ( -1), 626648426, 304040863, 21380155, 629108518, 705433050, 792495707, 12790762, 632329067, 784918823, 970663033, 124845420, 42222704, ( -1), 699976512, 297118425, 977792332, ( -1), ( -1), ( -1), 7354828, 767921736, 473930074, 724269926, 582835464, 445220501, 494681691, ( -1), 897403185, 196021209, ( -1), 707681722, 987042720, 178061716, ( -1), 719785399, 903124961, ( -1), 921402533, 389459873, 568020080, ( -1), ( -1), 11510355, 911952115, ( -1), ( -1), 129438013, 4349998, 624853761, 547950532, ( -1), ( -1), 529337547, 911503478, ( -1), 797525350, ( -1), ( -1), ( -1), ( -1), 315107240, 481743186, 16591030, 396159290, 873387904, 870627455, 312966061, ( -1), 438353682, 606059391, 214052758, 8033452, 925842184, 2786431, 396597287, 62322818, ( -1), 237681184, 292263929, 238583552, ( -1), 348386497, ( -1), 884829020, 431475565, ( -1), 639225597, 899085494, 991764882, ( -1), 146791769, ( -1), 305084239, 590576150, 150814130, 713811141, 167654861, ( -1), 919048070, ( -1), 900533135, 181774369, 319073211, ( -1), 43448784, 694125898, ( -1), 984640665, 254910150, 144519653, ( -1), 197176345, 899309309, 868310425, 426903048, 345630885, 53192213, ( -1), 881234676, 48443344, 259052512, 907118830, 405365430, 913677817, ( -1), ( -1), 23913520, 837603809, 276008930, 715457006, ( -1), ( -1), 385600809, 846365550, 795176485, 300521705, ( -1), ( -1), 623901967, 695194852, 488568941, 815938011, 179327707, ( -1), ( -1), 605284636, 643507751, 366995745, 129831682, ( -1), ( -1), 986261509, ( -1), 482462101, 587120003, 300244950, 46747444, 555933228, ( -1), 979736776, ( -1), ( -1), 982586416, 985274917, 554509681, 132467040, 165210901, 945949736, 950503052, 433615247, 182778195, 900005560, ( -1), 175183269, 701434307, ( -1), ( -1), ( -1), 684286624, ( -1), 82185601, 705691979, 738220375, 993620952, 95049876, 278737001, 791006747, ( -1), ( -1), 866676280, ( -1), 615770110, 459682986, 492614917, ( -1), 530103961, 845274557, 145383385, 636540102, ( -1), 175354031, ( -1), 444525886, 111056630, ( -1), ( -1), 202664075, 275858200, ( -1), ( -1), 152932482, 825317261, 597243069, 469925410, 428644331, 940613733, 204513614, ( -1), 975259221, 29879986, ( -1), ( -1), ( -1), ( -1), 388836008, ( -1), 858631440, 27544385, ( -1), ( -1), ( -1), ( -1), 892043887, ( -1), ( -1), 368012520, 244754119, 139591461, ( -1), 245484441, 23396078, 300134169, ( -1), 717807626, 780164891, 245573675, 751127224, 887518240, 813453502, 852414725, ( -1), 214342291, 983466719, 397558490, 920267949, 985959269, 184429223, ( -1), 554443347, 138984366, 251144968, 665435833, 482600853, 673698769, ( -1), ( -1), ( -1), 918601582, ( -1), 32332004, 434497785, ( -1), 213074063, 396551016, 674882103, 711047604, 821074514, 506546198, 523542668, 697441091, 52598259, 705529247, 544311444, ( -1), ( -1), 617163316, 161379021, 931811155, 232560729, 737476360, ( -1), 804559920, ( -1), 662628957, 182353298, 301057073, ( -1), 418609577, 296635565, 467842330, ( -1), 732406694, 764367170, 901107243, 50139598, 250260847, 282692406, 260028435, 692229845, ( -1), ( -1), 114712568, ( -1), 409884476, 167704710, 573094486, 327842028, 319487935, ( -1), 214592497, 606733428, ( -1), 647404869, 230859689, 401045751, ( -1), ( -1), 395374345, 32849159, 861808285, ( -1), 867438660, 162192384, ( -1), ( -1), 146134832, ( -1), 889560956, 463259098, 167849123, 777795727, ( -1), 427165031, ( -1), 388417916, 146849695, 338479791, ( -1), 522863266, 422622095, 312014048, 652556602, 431389284, 763512778, 535818818, 717729868, 82488934, 729723299, 571134291, 606488773, 8277539, 415335615, ( -1), 47066511, 556786158, ( -1), 833022644, 433899018, 473338688, ( -1), 742994840, 697161920, 184447090, 350474456, 444285869, 937525406, 633648, 576022043, 191621204, 73857129, 536580125, 400249585, 221622845, 362515772, 342220958, ( -1), 279248273, 179673147, 431340559, 408827881, 602378233, 661672685, ( -1), ( -1), 459341089, 377367250, ( -1), 551827662, ( -1), 328807777, 297326519, 185231991, ( -1), ( -1), 117555391, 431638366, 651141558, 600672836, 504867723, ( -1), 476730663, 643536909, 700189727, 590018299, 715873324, 158517586, ( -1), 646762268, ( -1), ( -1), 875191712, 329570509, 711538615, 301394004, 449069863, 226933234, 382061412, ( -1), ( -1), 814784149, ( -1), ( -1), 981331511, ( -1), 767442783, 135125011, 604846689, 291634104, 167452348, 43731777, 547078629, 979212880, 611361738, 154365810, 872855111, 783228027, 689355831, 120888423, 832295695, 172837576, 135491539, ( -1), 408670191, ( -1), 122449933, 626481913, 630648005, ( -1), ( -1), 127842622, 900560003, 653888085, 432636096, 654754275, 106289196, 907921168, 487018684, ( -1), 540649180, 555820009, 866347261, ( -1), 700592909, 555163127, 588852269, 586444531, ( -1), ( -1), 282957175, 622118240, ( -1), ( -1), 838647249, 42262297, 222377413, ( -1), 258868487, 952157337, ( -1), 50719934, ( -1), ( -1), 188663625, 157367070, ( -1), ( -1), 894770459, 594389475, 842562680, 128241562, ( -1), ( -1), ( -1), ( -1), ( -1), 379612902, 945273325, 400643148, 766624038, 968134901, 913749313, 203055322, ( -1), 651917559, 120348109, ( -1), 100796120, ( -1), 127599693, 792552760, 463982443, 129078979, 739125245, 639312982, ( -1), 756247105, 158157030, ( -1), 644120406, 279292817, ( -1), 522656744, 332099911, 552005247, ( -1), 352752615, 661438746, ( -1), 586935114, 253602368, 686787485, 30331198, 272241182, 437982970, ( -1), 555301872, 128957161, 428253975, ( -1), 410634841, 60402377, ( -1), 284114362, 17714257, 553869010, ( -1), 330034785, 649213537, 688347802, 808957838, 880632122, ( -1), ( -1), 249125834, 758469159, 839611008, ( -1), 422423962, ( -1), 137800339, 799242165, 749128807, ( -1), 877579628, ( -1), 447968418, 32449383, 116764622, 137945176, 511239426, ( -1), ( -1), 121889569, 903786630, 741551573, ( -1), ( -1), 831460640, 409481979, 791146776, 165935747, 669106337, 549886816, 278592555, 294913251, ( -1), ( -1), 919574099, 782054865, ( -1), 43543909, ( -1), 204404157, 327632486, 540967508, ( -1), ( -1), 657500796, 717035176, ( -1), 944831715, 197906829, ( -1), 499024015, 34423322, ( -1), 560273964, 20017142, 511381904, 111682725, 304552659, 831092602, ( -1), 924896780, 836741468, ( -1), 96831801, 629919941, ( -1), 493128451, 496985290, 702049486, ( -1), 270646438, 868520429, 923020462, 395347320, ( -1), 325027037, 111584483, ( -1), 498128394, 890198976, 914197742, 416752569, 568824000, ( -1), 257201217, 730453719, 431712045, 289242600, ( -1), 285018627, 314694137, 115670092, 318938189, 19002277, 28163980, ( -1), 120290275, 74412584, 211894646, ( -1), ( -1), ( -1), 886806649, 707833145, ( -1), 429872498, ( -1), 556755764, 455839296, 967021568, ( -1), 291051018, 222520479, 497525797, ( -1), ( -1), 820713257, 887042384, 836768412, ( -1), 957089664, 761460963, 695843330, ( -1), 530879428, ( -1), 427116334, 252782152, ( -1), ( -1), 332578793, ( -1), ( -1), 596267590, 818573986, 53067692, 95891049, 478293594, 351985644, 731044248, 867874561, 107237219, 92138224, ( -1), 450782699, 88929844, 13907117, 372281554, 539453009, ( -1), 187541739, 13046643, 297676177, 970979787, 860667105, 666744740, 687139392, ( -1), 959218901, 348939194, 620568625, 665414371, ( -1), 869225164, 141451751, 928036534, ( -1), 858646172, 384600213, 435471109, 12731982, 476438410, 399110559, 501526504, 490517593, 483543615, 209994652, 873204508, 731148373, 48926687, 118176696, 689249195, ( -1), 636310376, 207994614, 14469818, ( -1), 133982542, 556228562, ( -1), ( -1), ( -1), 125008458, 642130481, ( -1), 71533323, ( -1), 344924273, 94939827, 893715217, 418237166, 965391482, ( -1), 572478667, 277776492, 711434183, ( -1), 831631772, ( -1), ( -1), ( -1), 410381040, 190656405, 636943583, 852291394, 588133276, ( -1), 755395676, ( -1), 248270838, 542467339, 689957962, 241037952, ( -1), 691663777, ( -1), 471788473, ( -1), 838468791, 316201011, 982848543, 744450576, ( -1), 822237847, 882431767, ( -1), 282744295, 880225644, ( -1), ( -1), ( -1), 95136436, 244298726, 724684756, 851337075, 537260557, 116434738, 500834030, 573579752, 634889005, 199431149, ( -1), 855694231, ( -1), 884803369, ( -1), 159872409, ( -1), 818009338, 947743928, 112876534, ( -1), 58880135, ( -1), 425258388, 804752342, 782848799, ( -1), ( -1), 107507993, ( -1), 176958895, ( -1), ( -1), ( -1), 994899524, ( -1), 265974023, 82392148, 734914865, 165315812, ( -1), 61188858, ( -1), 210095175, ( -1), 789097433, 695283273, 692376519, 156381286, ( -1), 57190511, 220879230, 87541043, 972716546, 975636403, 761372175, 382502640, ( -1), ( -1), ( -1), ( -1), 859169626, 401609816, ( -1), ( -1), ( -1), 186355196, ( -1), ( -1), ( -1), ( -1), 768071369, ( -1), 292206417, 853369918, ( -1), ( -1), ( -1), 962543147, ( -1), 930170574, ( -1), 328666586, 135186723, 912846249, 351464565, ( -1), 694780675, 25194395, 671165824, 62960083, 844170887, 330644827, 39575180, 70472234, 136236460, 333023215, 362645301, 528118949, 418049745, 914720482, ( -1), 144188958, 189548698, 398628970, 13556599, ( -1), ( -1), 248601126, 15824233, ( -1), 778043744, ( -1), ( -1), 255799992, 383906566, 28869076, 291186363, 770461271, ( -1), 643710235, 721913811, 383598030, 532977048, ( -1), 115976135, 232784225, ( -1), ( -1), ( -1), 937280523, ( -1), 298246965, 889328959, 890276269, ( -1), 992686989, ( -1), 28224759, 483363329, ( -1), ( -1), 245936782, 725824003, ( -1), ( -1), ( -1), ( -1), 443061279, ( -1), 160485285, 803892418, ( -1), 162399980, 179859654, ( -1), ( -1), 26515890, 952015091, ( -1), 413568402, 543024175, 640551030, 946705016, 180444646, ( -1), ( -1), 184726898, ( -1), 979919901, 195180893, 373721220, ( -1), 221365190, ( -1), 124914996, 686060098, 187715871, 310780957, 13785845, ( -1), 374192260, 237470328, 537127579, 190616248, ( -1), 546198329, 377263100, 407887161, 775912159, 441443626, ( -1), 974278034, 605266640, 214677215, ( -1), ( -1), ( -1), 285884715, 693524344, 482925399, 680707932, 180834039, 519378818, ( -1), 205874172, 363938793, 864559863, 61610439, 443239334, 53347735, 862919001, ( -1), ( -1), 810453327, 244663335, 199536345, 14488204, ( -1), 314506643, 175449045, 390962440, ( -1), ( -1), 961299569, 222998553, 572150174, 761658666, 231231322, 933004124, 987744358, 228001213, 856500242, 808842720, 257226106, ( -1), 922170046, 577973101, 242945113, 902461090, 850074777, 253827022, 440607710, 343283255, 299967917, 437057091, 548341416, 972942894, ( -1), ( -1), 657873280, 665450129, ( -1), ( -1), ( -1), 62657951, 698089125, ( -1), ( -1), ( -1), 425327301, 845649946, ( -1), 44055324, 48280674, ( -1), ( -1), 887261215, ( -1), 561770192, 41702980, ( -1), 668740329, 985474891, 943005134, ( -1), 454482636, 187637607, ( -1), 447071742, 90809617, 426962559, 423530925, 911287805, 781045429, 309893819, ( -1), 891184599, 781188488, 505244769, ( -1), 809153281, ( -1), 806872636, 779677737, 325796062, 937634079, 431224912, 422907301, 615085208, 295315522, 244042455, ( -1), 933802762, 97321411, 104811245, 362785973, ( -1), ( -1), ( -1), 958653351, 43380350, ( -1), ( -1), 278013899, ( -1), 677259955, 635554576, 86334528, 610345593, 411140256, ( -1), 176439039, ( -1), ( -1), ( -1), ( -1), 688640713, 968367474, 4115552, 4646099, ( -1), 410343128, 496860571, 999730239, 277027779, 619577228, ( -1), ( -1), 29424636, ( -1), 758132932, ( -1), 2841972, ( -1), 66805075, 654597963, 431011022, ( -1), 418785468, 295116324, 515671802, 966469579, 609506051, ( -1), ( -1), ( -1), 509929198, 645722481, ( -1), 565847318, 761754118, 6468449, ( -1), 132364805, 156028334, 991626897, ( -1), 394021444, 625757877, 785435473, ( -1), ( -1), 525796656, ( -1), 378801241, 264804102, 933718449, ( -1), 112906387, 294859481, ( -1), 440840538, 619158797, 715075512, 922086549, 30244681, 805527434, 534926676, 700429776, 321366061, 804458183, 815578238, 423209650, 386366404, 620677771, 470274073, ( -1), 516077488, ( -1), 649469109, 732686934, ( -1), 378063284, 257659567, 341763041, 555624370, 242797326, ( -1), 655268136, 458708318, ( -1), 145412178, 860103877, 78689599, 947910270, 2704884, ( -1), 244782438, 14475337, 441099905, 622648839, 172168690, 287114987, 893518231, 536356886, ( -1), 651390741, ( -1), 615964924, ( -1), 729589005, 843516179, ( -1), ( -1), 355270727, ( -1), 612208136, ( -1), 85773702, 772665667, ( -1), ( -1), 645410142, 636084983, 190702712, 252015338, 28109758, 980596307, 374632567, ( -1), ( -1), ( -1), 696589070, 642583246, 558404496, 157522844, ( -1), 331474777, 436869617, 552809099, 837866440, 373201972, ( -1), 785122219, 562658475, 704409983, 714981122, 184225004, ( -1), 999694085, ( -1), 139625344, 362752061, ( -1), 788170060, ( -1), 832958859, 114680925, 486414354, 365750445, ( -1), 377594081, ( -1), 200922190, 111199052, 502176057, 111726688, ( -1), 222188659, 436489591, ( -1), 232391235, 923059550, ( -1), 711670300, 646349949, 533191040, 661880689, ( -1), 226905004, ( -1), 856832154, 57314894, 340150939, 784821291, 978267442, 766971085, 804457896, 965606505, 628899765, 253540814, ( -1), 75486933, ( -1), ( -1), 426303499, 384919361, 458288007, 58698908, ( -1), ( -1), 165365199, 481238449, ( -1), ( -1), 887722634, ( -1), 768483268, 733217252, 899554446, ( -1), 138403367, ( -1), ( -1), 434053508, 369725204, 490594786, 565447945, 772706067, ( -1), 61537436, ( -1), ( -1), 914640676, ( -1), ( -1), 507815102, 30365367, 969828532, 249352589, 466020788, 16795413, ( -1), ( -1), ( -1), ( -1), 279593637, 756393610, 165374169, ( -1), 83029087, ( -1), 55188748, ( -1), 290594525, ( -1), ( -1), 730350413, 759052654, 476069532, 382551044, 846557351, 77775457, 711296601, 208634108, 776984134, ( -1), 645958157, 856127642, 449540655, ( -1), 206478067, 366413439, ( -1), 171757968, 381141324, 970523639, ( -1), 124958062, 221541628, 508264476, 131514192, ( -1), 219437575, 757214684, 976008940, 263749831, 401219257, ( -1), 436716194, 750747226, 752910752, ( -1), ( -1), 305887555, ( -1), 364508786, 168377872, ( -1), 228198906, 941619348, ( -1), 763013192, ( -1), ( -1), 8298334, 786198083, 551726432, 39051034, 706519279, 932445070, 898158069, 554802402, 147601359, 909261315, 878307200, 507100118, 818697431, 707362312, ( -1), 870327250, 727279307, 832053607, 715081021, ( -1), 319437136, 648810002, 785775175, ( -1), 925837100, 455355290, 202545002, 969421549, 383263319, ( -1), ( -1), 915353333, 374193258, 340740744, 367291542, 941657646, 640845956, 436746268, ( -1), 154308088, 596949967, 1129319, ( -1), 776738999, ( -1), ( -1), 812831860, 606713438, ( -1), ( -1), ( -1), ( -1), 276388125, 120276604, 92501619, 515924895, 605770520, 77843597, 807117959, ( -1), ( -1), 727055589, 702104886, 77130430, 166267138, ( -1), ( -1), 104800479, ( -1), 996350177, 470101333, ( -1), 519033851, ( -1), 178118436, 844009233, 743437823, 966844262, 751838620, 164117941, ( -1), ( -1), ( -1), 429389816, 449780817, 396589235, 50297180, 513723287, 956784482, 149662331, 415907208, ( -1), ( -1), ( -1), 132196626, 728208904, 188631998, 267663003, 540715628, 37676980, ( -1), 110821465, ( -1), 681630639, 486645784, 377563971, ( -1), 214854671, 398671927, 997588509, 702082956, 672338127, 482921364, ( -1), ( -1), 755065568, 880401707, 652415520, 798424777, 94428304, ( -1), 635720974, 620164091, 540143951, 776263771, 612751286, 329606969, 919338838, 902606942, 806087175, 727392429, 325216076, 377264545, 575184294, 925052005, 606040866, 604455512, ( -1), 973779048, ( -1), 672094455, 757151760, 178184193, ( -1), 83612264, 372561049, 452930627, 951080274, 815492188, ( -1), ( -1), 490618469, 349670525, 615216187, 220462262, 144459453, 997798917, 298391950, 676686413, ( -1), 960961329, 698773490, 652263412, ( -1), 944341710, 78356723, 520871532, ( -1), 580988288, 921935015, 119581115, 604538957, 38587449, 708577419, ( -1), ( -1), 307292116, 430494333, 205171822, ( -1), ( -1), 332656810, 960498994, 252956556, 805360720, 369743593, ( -1), ( -1), 834264914, ( -1), 305250088, ( -1), 769740779, 51924894, 745835556, ( -1), 585082798, 993141015, 894264508, 497009432, 995704368, ( -1), ( -1), 361121296, 390780859, ( -1), 610815574, 508120880, 399569813, 727973269, 863875985, ( -1), 716502780, 546385289, 256399151, 558573128, 962527823, 891051651, 419293551, 375831937, 781443419, 156587004, ( -1), 437892269, 644928431, 719097414, 77428818, ( -1), 891129563, 647674661, ( -1), ( -1), 887856845, ( -1), 610499262, 762663671, 496506796, 647720780, 579367140, 811590506, 692210336, 619475263, 582677919, 210735195, 216156227, ( -1), 362702435, 420121237, ( -1), 398149999, 846397792, ( -1), 897854034, ( -1), 543662665, 437160888, ( -1), ( -1), 991857192, 132893765, 816269046, 433755752, 413347055, ( -1), 147668700, ( -1), ( -1), 384050737, 110274580, 843162230, 617923513, 731030169, 597419883, 52556142, ( -1), 117520261, ( -1), 417807354, 285794660, 267148053, 296178740, 827336206, ( -1), 156464060, 989273856, ( -1), 468423139, 419207349, 425930774, 593784814, 130145309, ( -1), ( -1), 407446210, 616650872, 141384266, 817961626, 210753880, 563665549, 183317349, 991623497, 522651971, 93388661, 707551943, ( -1), 734628935, 788572015, 935920014, 689423802, 897350800, 6476270, 434062652, 324671633, 257475901, 985890167, ( -1), 971663960, 155839207, 487602766, 448648829, 915570992, ( -1), 524698940, 178649312, 915287105, 899755959, ( -1), 39593726, 839620171, ( -1), 664904732, ( -1), 499454183, 577545786, ( -1), 188264801, 561043085, 941920899, 352887851, ( -1), 841248551, ( -1), 692775220, ( -1), 862219861, 732207097, ( -1), 470853066, 39676220, 191046726, ( -1), ( -1), 182584407, 550030984, 929357513, 297168564, 943860158, ( -1), 559220371, 39044014, 44509402, 875936062, 796141686, 48498616, 666039143, 46632226, 339670024, 444699178, 541759708, ( -1), ( -1), ( -1), ( -1), ( -1), 377799446, 271596814, 461248091, 122913360, 967040548, 387626093, 343571548, 450548478, ( -1), 349815607, 313350880, 479318299, ( -1), 881021594, 983966740, ( -1), ( -1), ( -1), 317210928, ( -1), 370413802, 450728205, 467893774, ( -1), 3365073, ( -1), 530333806, ( -1), 923285602, 46097909, ( -1), ( -1), ( -1), 56925215, 127212533, 874570327, 918877560, 430405969, 291418064, ( -1), 398763214, ( -1), ( -1), 335734743, 369920084, 381483805, 100687495, 390144522, ( -1), 572039633, 970395785, ( -1), 332627138, 628035896, 976774954, 897941406, ( -1), 549969595, ( -1), 694194928, 558192435, 996008073, 815676580, ( -1), 503219246, ( -1), 642011367, 873603967, ( -1), 396167890, 151477457, 690509229, ( -1), 451682456, 877699302, ( -1), ( -1), 355253973, 51661964, ( -1), 723172047, 887632209, 8736677, ( -1), 587380242, 582882897, ( -1), ( -1), 996505270, ( -1), ( -1), ( -1), 921247732, 507839666, 482484176, ( -1), 372095036, 551204759, 589768273, 836822304, 319880955, 841309711, 78467079, 168982770, 774898731, ( -1), 898633673, 652996746, 393351202, 418283352, 981765688, 588316035, 136653274, 402292634, ( -1), 39656621, 285790873, 725436598, 542699404, 644366136, 286118304, ( -1), 893634996, 423982608, 766269535, 721468251, ( -1), 834158399, 304002037, ( -1), 865064749, 944564195, 18745565, 854956614, 763363467, 223826695, ( -1), 105884159, 809914243, 597702395, 160967992, 144223675, 675693231, ( -1), 652237344, 244368598, 827203649, 400172136, ( -1), 832975863, 690009331, ( -1), 548675752, 406007038, 57076286, 981060394, 895656378, 426382020, ( -1), 297331309, ( -1), ( -1), 46024376, 438567401, 402692425, 4529373, 112086219, 504168433, ( -1), ( -1), 229959936, 253055383, ( -1), 841196991, ( -1), 696145614, 110512681, 380753199, 675778390, 362380126, ( -1), 631687307, 258545903, ( -1), 552524587, 441293073, 43634056, 73336337, 241850937, 982802460, 280734302, 409085662, 877779796, 828576323, ( -1), 527186664, ( -1), 589440573, ( -1), ( -1), 142603840, 948693776, 543840710, 938423176, 646797378, ( -1), ( -1), ( -1), 25308900, 819345865, 55260732, 978595747, 796055596, ( -1), 111843304, ( -1), ( -1), ( -1), 896783628, ( -1), ( -1), 979717737, 54955811, 341446697, 449212834, 540822266, 825017734, 650602990, 63707984, ( -1), ( -1), 351151599, 208608077, 861544019, 626015225, 719713729, 501642347, 955571828, 154258982, 787999297, ( -1), 836928138, ( -1), 959191222, 148823324, ( -1), ( -1), 839354242, 446006185, 82755814, 997435913, 770802870, 529512681, ( -1), ( -1), 316736580, 635154924, 977497960, 274882333, 449953933, 879451985, 694367363, 813128360, 678555804, ( -1), 250323358, 959193198, 558828227, 93609636, ( -1), 284587791, 394948705, 545137987, ( -1), 323950464, 751329000, 58200829, 79157861, ( -1), 300895051, 515931429, 249453754, 997474573, ( -1), ( -1), 199290521, 823560967, ( -1), 517049285, ( -1), 918378478, 770923850, ( -1), 214162573, 40792038, 75870820, 815907193, 408351, 15004533, ( -1), ( -1), 85762398, 875065549, ( -1), 496083123, ( -1), ( -1), ( -1), ( -1), 712358658, 263573273, ( -1), 897695401, 38938926, 569698578, 616770869, 566179050, 337598901, 896740136, ( -1), 498593930, 25816746, 913355099, ( -1), 912681667, ( -1), 911826216, 709501375, 424261481, 382329028, 222747697, 139801394, ( -1), 739428364, 390662768, 511850536, 577706035, 608904658, ( -1), 628975041, 933984459, 928704761, 707221846, 928225978, ( -1), 908970797, 894775173, 884879937, 185539817, 466475137, 865994422, 501802084, 584983724, 602005381, 340453139, ( -1), 543643716, 447128983, 452863521, 404315880, 529128334, ( -1), ( -1), ( -1), 74036142, 832515534, 632010240, 827190471, 431982570, 49272910, 896639142, 890015250, 912777219, 404724935, 18010443, 701360172, 219282772, 2328330, 612548606, 7067822, 284651399, ( -1), 391383514, 463677812, 396808518, ( -1), 615128106, 369517439, 812809354, 370587198, 579380088, ( -1), 717412570, 910609515, 87476628, 927673214, ( -1), 880987269, 457518216, 363809064, 45360707, 322739196, 588760185, ( -1), 68217942, ( -1), ( -1), 584375874, 914144344, 590133124, 697654257, ( -1), 58800580, 167374225, ( -1), ( -1), ( -1), 373773371, 145091020, ( -1), 442970415, 50376550, 615820601, 395585580, 711569353, ( -1), ( -1), 87931284, 842238648, 661109600, 173184886, ( -1), 3526670, 657698452, 429399624, 222774158, 688427422, 969187445, ( -1), 605088787, ( -1), ( -1), 777778016, 417612867, 600623368, 59623390, 917314459, 278403661, 477255766, 492594762, 89991985, ( -1), 314733216, 311322623, 991190655, 512135418, 625840225, 583029552, 860402357, 776493371, 314696654, ( -1), 121987564, ( -1), ( -1), 260826700, 840344673, 465984101, ( -1), 750938209, 869007561, 972069243, 791540215, 612821385, 988868057, 331588922, 484366652, 599121338, 358119216, 378680990, 731635445, 965850401, 18869286, 439427709, ( -1), ( -1), 592787137, ( -1), 697472642, ( -1), ( -1), 682855970, ( -1), 324565981, 804481930, 337656389, ( -1), 30977642, 526741204, 634868578, 589594101, 161563682, 895222490, 528314069, 264321310, 634329811, ( -1), 527292712, 960095959, 709580621, ( -1), 452835622, 995622019, 196702219, ( -1), 765216802, 790747237, 770353001, 458538087, ( -1), ( -1), ( -1), ( -1), 629770042, ( -1), 943070553, 568385337, 158284738, ( -1), 423126840, ( -1), 841259972, 341535018, ( -1), 632962198, 501580588, 726690852, ( -1), 40651296, ( -1), 315794157, 949217923, ( -1), 154960046, ( -1), 3227784, 855845892, ( -1), 982777284, ( -1), ( -1), 637777453, ( -1), 252033035, 917173853, 836463171, ( -1), 520382051, ( -1), 86345915, 733009570, 880717957, 186350787, 27168734, 582306846, 204238598, ( -1), ( -1), 753525717, 708596730, 369494873, 613625621, 437575343, 269259258, 158449836, 641363867, 78124514, 273301261, ( -1), 221329156, 146919186, ( -1), 734748731, 69137318, ( -1), 812827488, 63743144, 181976942, 656754998, ( -1), ( -1), ( -1), 827453931, 24926689, ( -1), ( -1), ( -1), 204150106, 287446747, 53431639, ( -1), ( -1), ( -1), ( -1), 389093116, ( -1), ( -1), 595686618, 166276005, 577807921, 107996993, 951335532, 459760456, ( -1), 877743407, 464072457, ( -1), ( -1), ( -1), 209690146, 951893233, 67195360, 863310032, 280004374, 932579456, 716009923, 130731058, 815603041, 653602078, 395169769, 483680372, ( -1), 42406091, 854276467, ( -1), 934940131, ( -1), 188449593, 6188455, 883431618, 991467187, ( -1), 48167160, ( -1), 745088381, 119303539, 769102197, 869884812, ( -1), 674734355, 805395658, 687588136, 171821102, 679549130, 860321560, 391774597, 534768506, ( -1), 901915916, 983654979, 904220562, 665863856, 976345618, 637524024, 538150200, 457466159, 772609467, ( -1), 263879341, 123743083, 164016879, 306009344, 817870788, 193470143, ( -1), 81810293, 568369701, 537673865, 949609041, 117913300, 8150402, 406947317, 448497164, 173133839, 71567187, ( -1), ( -1), 520197061, ( -1), ( -1), 788438088, 453242803, 981375701, 965507416, 62847256, 786539952, ( -1), ( -1), 94919539, ( -1), ( -1), 2838190, 263941428, 698101723, ( -1), 384443959, ( -1), 692824790, 602750729, ( -1), ( -1), ( -1), 230684184, 851870657, 923167393, ( -1), ( -1), 136500528, 85824620, 6133123, 784115238, 244924056, 419093017, ( -1), ( -1), 539423528, ( -1), 559135345, 401905620, 917326138, 935651903, 852779314, 338097376, 785499999, 813301708, 739520646, 355581270, 961879023, 84328013, 689863600, ( -1), 547104693, 12489587, 626496080, 951922739, ( -1), 115449303, ( -1), ( -1), 578099090, 424008998, ( -1), 400478952, 112592284, 277402038, 745739402, 236452199, 941018399, 224699633, 685217199, 583237789, 869159583, 588649743, 50454792, 531117559, 368927175, 686679048, 960965134, 339641949, 255163813, ( -1), ( -1), 976290949, 225020699, 504219841, ( -1), 900992395, 672939173, 583371600, ( -1), ( -1), 758483670, 11979474, 285132938, 5622096, 484679829, 762855543, 713365628, 386634125, 235531671, 212326465, 586619742, 968360680, 845501290, 408851592, ( -1), ( -1), 242790229, ( -1), 870382776, ( -1), ( -1), 249357052, ( -1), 755953422, ( -1), 744301307, 569890823, 184566139, ( -1), 648920396, 551655078, 330045695, 650651820, 263967997, ( -1), 671528654, 13414544, ( -1), 743564129, ( -1), 832476167, ( -1), 780326137, 964920030, ( -1), 564474890, 761155225, 892909156, ( -1), 747880382, 332646531, 363847359, ( -1), 958187936, ( -1), 117028158, 174251928, 309766578, 627165646, 159135591, 332185835, ( -1), 71791035, ( -1), ( -1), 367066410, ( -1), 725811418, 323757371, 968722285, 753587136, ( -1), 799965712, 158391226, 629335418, 57774605, ( -1), ( -1), ( -1), 388832966, 647486433, ( -1), 786124576, 356906975, ( -1), 61546139, ( -1), 305272490, ( -1), ( -1), 249934822, 541727458, 232402007, 407906574, 345504687, 609412082, 33287026, 995512258, 981216902, 204216190, ( -1), 71902944, 132010139, 780747567, ( -1), ( -1), ( -1), 601577089, ( -1), 934582399, 35965024, ( -1), 221252937, 899458176, 572248458, 36224327, 943953893, 251441873, ( -1), 664642817, ( -1), 867578945, 99248335, ( -1), 671947481, 787377508, 689718651, 495942286, 249858044, 422080783, ( -1), ( -1), 130884145, 375746596, 900190813, 320307050, ( -1), ( -1), ( -1), 942966931, 984985503, 297318774, 778739136, 639832135, 894415603, ( -1), ( -1), 342420686, 552905057, 183624706, ( -1), ( -1), 481608339, 687462833, ( -1), 810329132, 456441464, 351608090, ( -1), 501647170, ( -1), ( -1), 749359123, ( -1), ( -1), 251739035, 804599011, 514020884, 653703609, 624281074, 794522334, 625387144, ( -1), 159443224, 229917772, 221627984, 980954534, ( -1), 382976988, 884833249, ( -1), 166236431, 805356458, 165747117, ( -1), ( -1), 540284738, 875682671, 272731551, 841301957, ( -1), 424102068, 917382811, 478688219, 242279582, ( -1), ( -1), 646453363, 246069226, ( -1), 731348039, 807451032, ( -1), 224984492, 549884955, ( -1), 452692431, 924808459, 904112508, ( -1), 17269389, 803441680, 801865776, 433655467, 96055852, 34839207, 537950973, 998574758, 10241740, ( -1), ( -1), ( -1), 531303893, 593918174, 209221654, 746108131, 976931611, 998474480, 948003340, 292960022, 358095714, 601617815, 704910906, ( -1), 596152866, ( -1), 47987014, 873519908, 330469946, 483919178, ( -1), 570968650, 235108363, 660034887, 959673429, 639152859, 966434744, 296674559, 87415093, 653414857, 872363521, 968381852, 279085119, ( -1), 495634341, ( -1), 35517731, 846767449, 666568228, 238055354, ( -1), 816448250, 548750336, ( -1), ( -1), 855317825, 608672811, ( -1), 674448150, 457469558, ( -1), 902753473, 732052064, 980970074, 899691253, ( -1), 610811215, 788789744, 666324766, 711010217, 356297303, ( -1), 490298550, 761636938, ( -1), ( -1), ( -1), ( -1), 880348545, ( -1), 35292026, ( -1), 747710725, 579677648, 136270167, 457729496, 816257613, 517121167, 793578195, 239801939, 384472724, 312723793, 276788001, 625568149, 553983464, 68418256, 999805679, 905046317, ( -1), ( -1), ( -1), ( -1), 683068320, 456610885, ( -1), 35094333, 925302923, 330817196, 109174754, 802660053, ( -1), 432395511, 388964778, 595770448, ( -1), 575583296, 312562242, 34544826, 208304019, 787787835, 112454492, 955926344, 121670611, 681457006, 52527325, 750266027, 936490271, 856115649, 411405168, 320337310, 172794081, 189280330, ( -1), 703712881, ( -1), 490567027, 39850484, 803308877, 273026230, 542219068, 367852098, ( -1), ( -1), ( -1), ( -1), 734228096, 435163791, ( -1), 178086847, 655650856, ( -1), 688346095, 605187899, 132790986, ( -1), 333023747, 995881003, ( -1), 886505856, 769375725, 124388474, 595079510, 421786434, 557389949, 31519961, 762868071, 272078921, ( -1), 754126415, 472244152, ( -1), ( -1), 224253213, 398624648, 742437947, 379278284, ( -1), 537058541, 277619901, ( -1), 95629512, 344780512, 333602117, 89869162, ( -1), ( -1), 98924422, ( -1), ( -1), 923743627, 842723847, ( -1), 482224920, ( -1), ( -1), 863340370, 848743806, 132069115, 458923152, 634981236, 996793355, ( -1), 629904949, ( -1), 812974239, ( -1), 856971808, 860619077, 617401748, 663731170, ( -1), ( -1), 764548909, 223961357, 851962634, 339838344, 323204121, ( -1), 295998526, 37319312, 779931657, 237749057, 763092071, ( -1), 843586588, 830650948, ( -1), 38813170, ( -1), 228096939, ( -1), ( -1), ( -1), 564735537, 321612539, ( -1), 641207737, 390754942, 125549713, 161473077, ( -1), ( -1), ( -1), ( -1), 845808185, ( -1), 875998059, 122614420, 151473777, 224333163, 911235093, 639904264, 786684863, 887616274, ( -1), 283455273, 166617364, 929993475, 96992597, 455237302, 892431529, 57366852, ( -1), 299772672, 819481527, ( -1), 778739133, 68988773, ( -1), 268073954, 553213092, ( -1), ( -1), 989565454, ( -1), 320388069, 142726606, 214998676, ( -1), 703712283, ( -1), 734469190, 836943126, 932981727, ( -1), 467907670, ( -1), ( -1), 378022210, ( -1), 780970372, 818940529, 257205764, 475551865, 113873802, 894968028, 416718995, ( -1), 854381839, ( -1), ( -1), 797222669, 458950610, 487220454, ( -1), 574972935, ( -1), 831363509, ( -1), 979417369, 977828863, 718455697, 924441924, ( -1), 405536759, 326548698, 616383899, 671783948, ( -1), 115602495, 33250628, 334849338, 926150404, 103041281, ( -1), ( -1), ( -1), 80569193, 613453020, 179758906, ( -1), ( -1), 456515658, ( -1), 650964962, 232687164, 888685170, ( -1), 405388874, ( -1), 921780429, ( -1), 599325273, ( -1), 304014112, 524881637, 374427300, 421197367, 154962984, 951135535, ( -1), ( -1), 611267294, 233898074, 307255198, ( -1), 796949277, 524647921, 224847990, 137048696, 575050650, 227580429, 252006839, 319125162, 216633460, ( -1), ( -1), 216824361, 342057221, 674306364, 863989934, 151186087, 569894653, 261193980, 569864832, 935603750, ( -1), 821595680, 980528457, 978228920, 251076468, 602932693, 929925658, 988639185, 569514742, 251613709, ( -1), ( -1), 401801726, 625424355, 152472416, 28209594, ( -1), 342281219, 74363152, ( -1), 442197295, 650290909, 29244505, ( -1), ( -1), 237733539, 967270247, ( -1), 807002144, 969520927, ( -1), 196628929, 862263782, ( -1), ( -1), 526463974, ( -1), ( -1), ( -1), 263363529, 565990212, 634096858, 159583592, ( -1), 380325106, 992476247, 898148354, ( -1), ( -1), ( -1), 561807986, ( -1), ( -1), 223845859, 592047010, ( -1), ( -1), 54400840, 286490136, ( -1), 473410375, 630942207, 709485517, ( -1), 793680548, ( -1), ( -1), ( -1), ( -1), 412296027, 294817053, 156453128, ( -1), 193157266, ( -1), 638607272, 426809898, 461175021, 293425263, 794959725, ( -1), 253372270, ( -1), 703632029, 71292651, 425949478, ( -1), 923029247, 46631991, 532528538, ( -1), 451249102, 756096133, 911658195, ( -1), 152309372, ( -1), ( -1), ( -1), 27137116, 685323871, 821792874, ( -1), 104355994, ( -1), 217212308, 538772466, 153064933, ( -1), 826048335, 212959104, ( -1), ( -1), 733531623, 902980629, 789496686, 386200848, 754138419, 370608200, 144172327, 335344418, 197027504, 646793172, 53632888, 172205381, ( -1), 397190260, ( -1), 470281845, ( -1), 151332854, ( -1), 774640949, 758225423, 386157718, 43206195, 71672336, 810919236, 782004783, 38188184, 515685597, 67641599, 292208998, 74722821, ( -1), 315336593, 833738552, ( -1), 369298322, 352958368, 680541039, 2747528, ( -1), 968585736, ( -1), ( -1), ( -1), 293647226, 746498780, 993086311, ( -1), 757837252, 493775557, 346908594, ( -1), ( -1), 365581284, ( -1), 127879626, 336719723, ( -1), 842965480, 846967375, 443366575, ( -1), 819910605, ( -1), 759299974, ( -1), 266686822, ( -1), 816829099, 37058280, 942898531, ( -1), 173223831, 926180527, 571569550, 576702278, 203486887, 158349225, ( -1), ( -1), ( -1), ( -1), 799188026, 249210714, 78877692, 70197527, 317389632, ( -1), ( -1), ( -1), 613400128, 770800059, 988736581, 673302962, 920245166, 321386554, 568822567, 191935380, ( -1), ( -1), ( -1), ( -1), ( -1), 353907379, ( -1), ( -1), 72216495, 345594605, 665912050, 757586067, 96998360, 231688274, 989910194, ( -1), ( -1), 914849784, ( -1), 220858915, ( -1), 97631973, ( -1), ( -1), 122129654, ( -1), 109325846, ( -1), 133710705, 945167716, 92637970, ( -1), 226060042, ( -1), 239599512, 259032456, 794501963, 264586916, 570029943, 712881100, 376267519, ( -1), 238198044, 327047959, 170945184, 775194540, 879792527, 300049922, 555355731, 739435140, 811343022, 399959366, ( -1), 645059086, 399374673, 657450620, ( -1), ( -1), 863737669, 195206185, 41616685, 988443354, 542243867, 76954463, ( -1), 271605980, ( -1), 721835377, 440777153, 521878244, 432477217, 985138053, 95657151, ( -1), ( -1), 348404682, ( -1), 32166943, 210456122, 405207742, 622844934, ( -1), 149917435, ( -1), 818018335, 810747842, 979836062, 108183787, ( -1), 212043244, 420911521, 410430653, 631471993, 618229112, ( -1), 340148892, 407825106, ( -1), 579255785, ( -1), ( -1), 336100020, 470417867, ( -1), 155552395, 623718434, ( -1), ( -1), 311406951, ( -1), 901525564, ( -1), 896860350, ( -1), 469479191, 495990900, 551716020, ( -1), 808733321, ( -1), 231448700, 204496115, 52668897, ( -1), 483553367, 530241703, 754962868, 114521379, ( -1), 591771339, 807449262, 68515538, 923339236, 373065095, ( -1), ( -1), 875048506, 64258124, ( -1), 676269899, 992428670, 521616969, ( -1), 15451174, 966209746, 120680622, ( -1), 19850002, ( -1), ( -1), 717234856, 773236321, 503642093, 382732460, 548479996, 505093705, 661248373, 702122271, 676596043, ( -1), ( -1), ( -1), ( -1), 325945148, 143560401, 659605849, 320300429, 283469354, 211996078, 117680043, 19063713, 970054439, 394897172, ( -1), 657585481, ( -1), ( -1), ( -1), 675544385, 492896492, ( -1), ( -1), 616398458, 152333795, 488188776, 813057987, ( -1), 851092637, 167972841, 889433645, ( -1), ( -1), 981605127, 972584360, 436091756, 192212876, ( -1), 449960174, 136194612, 693578016, ( -1), ( -1), 550778083, ( -1), ( -1), ( -1), 41116354, 653941877, 793032622, 67766929, 958432928, 452178344, ( -1), 415701031, 984578950, ( -1), 892655353, 326514280, 2981584, 104291462, 134818625, ( -1), ( -1), 766119481, 886900735, ( -1), 264098011, ( -1), ( -1), 646380421, 20652232, 222302198, ( -1), 99805573, 553793413, ( -1), 788670609, 909345222, 928478953, 656746609, 882774098, 197440827, 151427789, 843505797, 118841842, 655531301, ( -1), ( -1), 930764524, ( -1), 507667698, ( -1), ( -1), ( -1), ( -1), 169650338, 455836811, 11914873, 418610851, 427174103, ( -1), ( -1), 122063820, 155678499, ( -1), 998393737, ( -1), 50000541, ( -1), 79562071, 873425020, 83160872, 161995646, 883661881, 473984563, ( -1), ( -1), 223047903, 887323598, 691324456, 69859714, 924994792, 259801024, 921447661, 389398398, 359716005, 448931579, 765737796, ( -1), 318760885, 768252980, 96190958, 50800036, ( -1), ( -1), ( -1), ( -1), 701199468, ( -1), 727465054, 479251115, 422500046, 134046357, 512756873, ( -1), 921901152, 595556935, ( -1), 76159842, 420459310, 840245161, ( -1), 606680783, 177128669, ( -1), 701379822, 258902545, 994541010, 649913318, ( -1), 233960046, 160310247, ( -1), 220089918, 42415954, 781781145, 69907814, ( -1), 29442048, 278768363, ( -1), 343371839, 293411477, ( -1), 752477394, 686464919, 74032325, 162605749, 638904731, 940300504, 988675488, 521719842, 558361663, 337224211, ( -1), 504882801, ( -1), 123400982, 796567959, ( -1), ( -1), ( -1), ( -1), ( -1), 893251427, 536191064, 26252321, 923944652, ( -1), 345242628, 208898072, 108572909, 330351078, ( -1), 182645389, 183589808, 862868260, 902478821, 100408500, 266507966, 279107022, 472188147, 615668267, ( -1), 738434536, 250819650, 253086873, ( -1), 62959329, 509430456, 191776796, ( -1), 639342667, ( -1), 805466834, ( -1), ( -1), 487636377, 573272174, 907846786, 197653282, 634805794, ( -1), 859022333, 217019397, ( -1), 646896939, 476646196, 256144971, 395988564, 374592532, 988326864, ( -1), 42288797, ( -1), 377737039, 989068881, ( -1), ( -1), 828473102, 411591972, 907481768, 77609380, 707692166, ( -1), 192210404, ( -1), 806270946, ( -1), 337536164, ( -1), 820422584, ( -1), 389859803, ( -1), ( -1), 802135789, ( -1), 325401881, ( -1), 209505132, ( -1), ( -1), 934750237, 122613548, 576330948, 585467350, 143802280, ( -1), ( -1), 455366871, ( -1), 730102717, 377728151, ( -1), 383161604, ( -1), ( -1), 375276003, 695027200, 112592566, 2755472, ( -1), 528727632, ( -1), 316998041, 299329771, 767525498, 865392423, 385191426, 913176368, 823010100, ( -1), ( -1), 920481951, 177000097, ( -1), 512471214, 150970432, 372158091, 115065122, 788504259, 484540506, 537172878, 229473680, ( -1), ( -1), ( -1), ( -1), 460001425, ( -1), ( -1), 107794256, 587286168, 678297240, 86314550, 986566876, ( -1), 412458049, ( -1), 154543723, ( -1), 383371832, 815074081, ( -1), 884047541, 34641639, 544576539, ( -1), ( -1), 350551309, ( -1), ( -1), ( -1), ( -1), 816872213, 980978110, 486786660, ( -1), ( -1), 35532311, ( -1), 861371278, 493066959, ( -1), 369170352, 554826553, 398762528, 547933114, 173493657, ( -1), 168682030, ( -1), 815990693, 567543783, 341123094, ( -1), 559171925, 416792939, 739290748, ( -1), ( -1), 872125765, 636237547, ( -1), 925592425, 735031185, ( -1), 344498084, 498557163, ( -1), 297799338, 162207461, ( -1), 212471578, ( -1), 680302935, 683414156, ( -1), 40188865, 209328488, 305597511, ( -1), 65194453, 463779985, 174346290, 92875542, 139853457, 650967160, ( -1), 420596684, ( -1), ( -1), 96569441, 717323405, 794577688, ( -1), 343962943, 673208347, 203816543, 196882963, ( -1), 460844058, 5314715, 449011339, 529594629, 850751127, ( -1), 285923926, 241480486, 595980738, 349568206, ( -1), 4803824, ( -1), 240944670, ( -1), 497607056, 634898002, ( -1), ( -1), 193178789, 874864419, ( -1), ( -1), ( -1), 377227483, ( -1), 859159498, 915707708, ( -1), ( -1), ( -1), 263094567, 618249158, ( -1), ( -1), 462466115, 995888539, 204160453, 521909244, 236311569, ( -1), 800920901, 400533305, 829771624, 269363123, 662973732, 842224961, ( -1), ( -1), 749677183, 427601379, 361356400, 520454700, 641076115, ( -1), 282478755, 909472043, 569660471, ( -1), 480606317, 276815887, 164863650, 902083751, 555443848, ( -1), 876087096, 631088903, ( -1), 191222380, ( -1), 555263837, 701900785, 480220302, 377580907, 46428662, ( -1), 620030594, ( -1), 632559754, 802100465, 114953157, 210385526, ( -1), 167851542, 818399493, 408397053, ( -1), 485693994, ( -1), 731484418, 50074909, 831846789, ( -1), 704559852, ( -1), 23159906, ( -1), ( -1), 691332492, 532349423, 839209157, ( -1), 37230564, ( -1), 409722403, 697869441, 403363779, 470880761, 135253450, 886463258, 416323357, 827585793, 40196134, 490922726, 756277280, ( -1), 453892088, 166272917, 488908857, 978082185, 122551360, 801804049, ( -1), ( -1), 994663712, 31158984, 527417066, 107607406, 213627565, 66374808, ( -1), 679735428, 223230509, 270547270, 464893080, 608200702, 687697562, 505605648, 967729403, 111340316, 517114614, 67311743, ( -1), 592105009, ( -1), 39718935, 24673389, ( -1), 688872992, 803406389, 70820792, 839043976, ( -1), 160608072, 221205901, 155473857, 188548689, 102673297, 629104296, 284992216, ( -1), 843987532, 139134735, ( -1), 146117462, 682385552, 750597366, 980938994, ( -1), ( -1), 186024772, ( -1), 597935554, 341786191, ( -1), 853490534, 161508912, 475933529, ( -1), 834003600, 391690973, ( -1), 836846735, ( -1), 420484032, 89091433, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 143780815, 986420361, ( -1), 112749629, 232886281, 985418066, 438811922, 60537678, ( -1), ( -1), ( -1), 562255683, ( -1), 285496014, 774512033, ( -1), 494557757, 207244311, 498931399, ( -1), 616786110, 332969267, ( -1), ( -1), ( -1), 25498780, 658050990, ( -1), 938460043, ( -1), ( -1), 917481384, 490257563, 984496535, ( -1), ( -1), 631590534, 699587798, ( -1), ( -1), 754169578, ( -1), 870952618, 595212805, 650380214, 941422627, ( -1), ( -1), 991397835, ( -1), 155838680, 761319264, 374994280, 336035268, 465342813, 786378824, ( -1), 687267643, 532340486, ( -1), 67106720, 217423789, 631561745, ( -1), 356239819, 686199757, 218189615, 675242160, ( -1), 438370058, 254865383, 247792007, 537146742, 99419626, 590899572, 216145894, 887180710, 876429775, 713947129, 612844085, 99956690, ( -1), 105579370, 145638569, 741839274, 157796234, ( -1), 424796399, 810974841, ( -1), 537647783, 621663116, ( -1), ( -1), 814296788, 348679237, 631741224, 312148946, ( -1), ( -1), ( -1), ( -1), 104550844, ( -1), 996985930, 270694672, 298944855, ( -1), 957693028, 345747759, ( -1), ( -1), ( -1), 310801944, ( -1), 142398881, 946024067, ( -1), ( -1), 290467516, ( -1), ( -1), 811471259, 998144731, 475676678, 94233272, 127954779, 642579538, 24862276, 603935574, 228442989, 865029958, ( -1), ( -1), ( -1), 336768462, ( -1), 845554184, 163105758, 858203851, 119254383, 436283503, ( -1), 113923298, ( -1), ( -1), 666552371, ( -1), ( -1), ( -1), 706918478, ( -1), 752998724, 546908485, ( -1), ( -1), 590363714, 723571298, 602264148, 12017578, 89030584, ( -1), 225885952, 860241209, ( -1), 150572711, 980351373, 632652446, 947225584, 563378916, 435582595, 511892207, 333065460, 718746164, 687110614, 739209710, ( -1), 414019235, ( -1), 132367400, 797310944, 307930840, 134448352, 134991613, 34577417, 500403134, 498804111, 453002863, 213140381, ( -1), 457985159, 185641108, ( -1), 984470177, 673401908, 436353361, 861408709, 233780942, ( -1), ( -1), ( -1), 176277172, 948148571, 519603395, 430638097, 322316639, 862166447, ( -1), 29396506, 331753678, ( -1), ( -1), ( -1), 395777512, 487748337, 304801939, 738010148, 957128813, 244871224, ( -1), 649046339, 507814448, 403621109, ( -1), 305460570, 23515539, ( -1), 842906748, 788756659, 927309457, 222388709, 872438868, 2721770, 928815227, 941438082, 283869553, ( -1), 570168999, ( -1), ( -1), 59209022, ( -1), 266588146, 513723683, 657325102, 121100184, 786023288, 553650012, ( -1), ( -1), 718745975, ( -1), ( -1), ( -1), 518625004, ( -1), ( -1), ( -1), 896958244, ( -1), ( -1), 206844347, ( -1), 634502592, 709804299, 123518975, 975990618, 6459182, 811349518, ( -1), 386892285, ( -1), 456382076, ( -1), ( -1), ( -1), 859554583, ( -1), 124202133, 265610590, ( -1), ( -1), 219209814, 21154776, ( -1), ( -1), 466548024, 680976873, 945023555, 520989291, 337992293, 559568395, 570537174, ( -1), 162859881, 505125094, ( -1), 820106298, 926827740, 936812025, 368286394, 269197704, 407148136, 550493132, 908573574, ( -1), 37570116, 98571327, 826039681, 287402211, 856256341, ( -1), 905674779, 782110070, 354971020, 344102197, 1152616, 215303893, 356515635, ( -1), 551021838, ( -1), 567255243, 307249790, ( -1), 710636963, 300213998, 879019671, 933293905, 406646698, 614966668, 364306961, 4934072, 251775257, 364733266, ( -1), ( -1), ( -1), 427363169, 618510929, 3569826, 26530331, 311150085, 59939962, 537726515, 78811517, 512206347, 288765268, 442289173, ( -1), 380922890, 296352960, ( -1), 475366650, 650415594, ( -1), ( -1), 403545075, 547733, 892963013, 616257525, ( -1), 160930560, ( -1), ( -1), 835602346, ( -1), 65428260, 54084755, 294750321, ( -1), 676380925, 506923707, ( -1), 634093957, 335049991, 526605049, 517463527, 596299325, 667108654, 351823612, 718083107, 962854540, 177133651, 838614357, ( -1), 16391703, 543826487, 898679289, 967497296, 107771876, 441928275, ( -1), 121000894, ( -1), ( -1), 453318193, ( -1), 192637420, 207850304, ( -1), ( -1), ( -1), 513565746, 60269041, 190143254, 870180583, ( -1), 399320967, ( -1), ( -1), ( -1), 255781993, 509917527, 950883034, ( -1), 926843294, 210170504, 149420550, ( -1), ( -1), 940988563, 804467893, ( -1), 779933050, ( -1), 668178182, 586465396, 330262569, 219168074, 259204829, 614100449, 179736708, 675808967, ( -1), ( -1), 7229494, 548772560, 199985352, 573397875, 367110041, ( -1), 813582980, 98930666, 286795745, ( -1), 769694251, 625181585, 117959195, 968798739, 620463328, 774494063, 66538287, 415787358, ( -1), 37909221, 798198823, ( -1), 128474719, 860130196, 607498319, ( -1), 451166614, 951535232, ( -1), 579355976, 157401536, 797234744, 561372765, ( -1), ( -1), 738265543, ( -1), ( -1), 28871919, 228612255, ( -1), 871698897, ( -1), 199490175, 699111709, 964187277, 115785878, 947345722, 458374341, ( -1), ( -1), ( -1), 817395517, ( -1), 440043494, 897233772, 766921023, ( -1), 621991666, 138448039, 47878793, 849754312, ( -1), ( -1), ( -1), 445474636, ( -1), 967275947, ( -1), 257912261, 678151223, 114226481, 82062038, 89469752, 587607316, 912974294, ( -1), 919649422, 209150785, 831655526, 967470768, 108460106, 409828631, 460176890, ( -1), ( -1), 665714314, 719651898, ( -1), 369823897, 103940924, 91374105, 179503126, 431670285, 330501482, ( -1), 428556002, 542347921, ( -1), ( -1), 561901672, 731328721, 950071142, ( -1), 578034641, ( -1), 777268277, 460444961, ( -1), ( -1), ( -1), 22551063, 627898435, 724572676, 453035312, ( -1), ( -1), ( -1), ( -1), ( -1), 67546481, ( -1), 273166684, 8218091, 87859215, 5881094, ( -1), 698402590, 889525173, 443413904, 254300972, 652164740, 500697617, 325281190, ( -1), 550852151, 951984111, ( -1), 770323700, 70800244, 432458064, 364383159, 762006800, 454535434, ( -1), 384834019, ( -1), 769514372, 984948992, 773813492, ( -1), 372918254, 661633295, 428211240, 149514180, 515605073, ( -1), 503438295, 327012965, ( -1), 416804316, 986979477, 950781630, ( -1), ( -1), 434254968, 588727032, 757157610, ( -1), 979042575, 328766458, ( -1), 275659385, ( -1), ( -1), 535865448, ( -1), 358904788, 829103176, 2201978, ( -1), ( -1), 518682785, 71353341, 507409290, 436561429, ( -1), 881778180, ( -1), 65612746, ( -1), 477377847, ( -1), 454416716, ( -1), ( -1), 57831077, 846439629, 141158837, ( -1), 482600418, 318244019, 260050175, 633008438, ( -1), ( -1), 913313380, 825185158, 733056963, 583405296, 854879582, 374909313, 711105630, 456840004, 195012591, 319189711, 348219213, ( -1), 833729542, 664889183, 796060856, 234451319, 355618603, ( -1), ( -1), 561122899, ( -1), 476441645, 961938240, 78345956, ( -1), 490563325, 170399108, 416224960, 191240420, 856903405, 589739599, 636843504, ( -1), 304134121, ( -1), 93156323, 562889845, 552746704, 374457418, 713243498, 967210552, 473777387, 822614750, 507014529, ( -1), 950660941, 685289958, ( -1), 229349278, 116312769, ( -1), 543734437, 423762301, 201590583, 697984006, ( -1), 183715078, 153730505, ( -1), 488354032, ( -1), ( -1), ( -1), 963215578, ( -1), 621919842, 160463906, 897401958, 695287889, 365044599, 995632822, 551893359, 493156175, ( -1), ( -1), ( -1), ( -1), ( -1), 805259018, 244190073, 123712948, ( -1), 791059112, 614758785, 139252285, 736430053, 966596477, 519431690, 577653659, ( -1), 459232096, 127967319, 978873770, 172475233, 167073901, ( -1), 847925178, ( -1), 498815783, 283613430, 842798666, 344027643, ( -1), 125143827, 482902477, 635229806, 992310042, 338808, 830149125, 934390771, 629477943, 46100121, 275464902, 701434551, 3881946, 206759113, ( -1), 37604015, 625850428, 595348935, ( -1), 694692431, ( -1), ( -1), ( -1), 515709662, 992402569, 669388636, 757416946, 229908919, ( -1), 741519131, 149157659, 556069679, ( -1), 448661633, 981122581, 42547418, 346337147, 399262460, ( -1), ( -1), 601896139, 12509525, ( -1), ( -1), 38500640, 990454430, 804271741, ( -1), 650154763, 53968761, 271367927, 572334456, 843790639, 843158428, ( -1), ( -1), ( -1), 414791978, 279071777, ( -1), ( -1), 715365635, 987465062, 340015460, 802238011, 668813570, 699118065, ( -1), ( -1), 99919760, 507930337, 397361473, 115509036, 158405478, 353247374, ( -1), 138290071, ( -1), ( -1), 589382202, 832430311, ( -1), 488490443, ( -1), 227124374, 423085750, 163011144, 312832237, 150455782, 240227512, ( -1), ( -1), 989359242, ( -1), 967704090, ( -1), 261112164, 893284956, ( -1), 150164551, ( -1), 993237521, 195011435, 486286856, ( -1), ( -1), ( -1), ( -1), 680809057, ( -1), 550103181, 9026608, ( -1), 15180461, 491808397, ( -1), 890955029, ( -1), 446862734, ( -1), 634161574, ( -1), 156279368, 793292910, 656627648, 931316589, ( -1), ( -1), 361554898, ( -1), 58065570, 411785905, ( -1), 350428788, ( -1), 728601540, 113995798, 212851211, 737395468, 378804106, 937538736, 868573271, 780934951, 52802898, 379753617, 386975927, 966897092, 425858038, 103144656, 439519393, 289370009, 747704427, ( -1), 677688623, 792077368, ( -1), ( -1), ( -1), 981123938, ( -1), ( -1), 562685589, 606557766, 430709600, ( -1), 708720853, ( -1), 162686478, ( -1), ( -1), ( -1), ( -1), 127640702, 777661904, ( -1), ( -1), ( -1), 348770742, 157314617, 630018561, 293537430, ( -1), 631837038, ( -1), 332005616, ( -1), ( -1), ( -1), 253860646, 789655037, 914305767, 660267773, 303257448, 127832388, ( -1), 667631187, 862413173, 658700989, 400441732, 822061063, 864709110, 944111493, 999472343, ( -1), 924610279, 474269645, 486444202, 472168515, ( -1), 993356006, 314192777, ( -1), 534883616, ( -1), 803991857, 646719831, 895062458, 58634429, ( -1), 571536801, ( -1), ( -1), 462944115, 838169678, 341741751, 390705329, ( -1), 255613319, 466214312, ( -1), 110947307, ( -1), 717098027, 958405298, 737569558, ( -1), 267786238, 863487877, ( -1), 604249394, ( -1), 586159959, 963339781, 588641151, ( -1), 779591254, 816283812, 189322615, ( -1), ( -1), 916078791, 818914139, ( -1), 260027823, 928286788, 443813043, 895183760, ( -1), 632301913, ( -1), ( -1), 542874318, ( -1), 740842390, ( -1), 674837734, 610367962, 990336883, 185413472, ( -1), ( -1), ( -1), 543407346, 546687195, ( -1), ( -1), ( -1), 654277436, 932132142, ( -1), 444858653, 537138986, ( -1), 751574705, 933394917, 102273219, 801582227, 690093468, 207709955, 699403844, 247643079, 903587928, 360975521, ( -1), ( -1), 523713264, ( -1), 975383014, 873359228, ( -1), ( -1), 363168962, 211337535, ( -1), 797546248, 933496474, ( -1), ( -1), 807635248, 532502601, 360803614, 511808009, 870908373, 476238266, 412428806, 359187988, 853321545, 721236320, 183879057, 63706139, 981199740, 322684607, 871380369, ( -1), 654483462, 519927673, ( -1), 373079158, 441124984, 936434468, ( -1), 174608041, 947045680, ( -1), 959338224, ( -1), 174818696, 475805314, ( -1), ( -1), ( -1), 112109144, 993393992, ( -1), 8380646, ( -1), 186821077, 794816438, 139176023, ( -1), 920727004, 430849371, 675408548, ( -1), 702449690, 587524430, 752872789, 126492849, 525820588, 555560393, 358440215, 132060047, ( -1), ( -1), 167154775, 362617259, 40914674, ( -1), 258977564, 202152481, 823473328, ( -1), 787849485, ( -1), 677291056, 856111730, 589187584, 56627474, ( -1), 471206518, 660613524, ( -1), ( -1), 716049103, 242691954, ( -1), ( -1), 801190894, 853786949, ( -1), 181239119, 24489110, 359820178, 60600597, 461134309, ( -1), ( -1), 41611409, 631654631, 551832511, 373045846, 279139102, 595693343, ( -1), 95129142, ( -1), 295721031, 622036327, 636130048, 469552601, ( -1), ( -1), 325831465, ( -1), ( -1), 143351917, 372938102, ( -1), 178681671, 420899645, 887918849, 297533244, 773614507, ( -1), 528573779, 68695073, 167501284, 695723630, ( -1), 760525821, 764772683, 965118955, 6617138, 82238422, ( -1), 183968134, 500588541, 473351545, ( -1), ( -1), ( -1), 241974830, 896863472, ( -1), 657476332, 90908856, 983901996, 479977587, ( -1), 736614067, ( -1), ( -1), 29656239, 612387236, 313348479, 471490202, ( -1), 523409211, 425481182, 66900789, 716672508, 708169501, ( -1), 330741486, 881820032, 640526608, 517594913, 539520068, 895412891, ( -1), 34289370, ( -1), ( -1), ( -1), ( -1), 48710453, ( -1), 38218202, ( -1), 526787085, ( -1), ( -1), 368644593, 191083109, 858387639, 712892423, 188677568, 713272887, 183058874, 774241327, 236641416, 678000075, 688258691, ( -1), 855115123, 53004569, 371014810, ( -1), 689157998, ( -1), 700930580, 803531686, 525943812, 806065656, ( -1), ( -1), 743179649, 148983785, 193541987, 154515254, ( -1), 395378299, 248754157, ( -1), 510583963, 786401116, 531045658, 957083544, ( -1), 56797104, 247251128, ( -1), 424230614, 30530052, ( -1), 461699273, 609878971, 96407766, 704871052, 999965317, 314866478, 33531251, 787930270, 445660319, ( -1), 881073189, 463390587, ( -1), 996855601, 992870407, 162648371, ( -1), 823005028, 415076954, 905485959, ( -1), ( -1), ( -1), 443781103, 838865721, 548641226, 410434211, ( -1), ( -1), 710848114, ( -1), 307293309, 878627343, ( -1), 912129411, 683081483, ( -1), 754245711, ( -1), 591847833, 988884040, ( -1), ( -1), 735166058, 421351146, 136989680, 333352527, 727263216, 545471793, 970113269, ( -1), 952946552, 541994310, 781814560, 848623763, ( -1), ( -1), ( -1), ( -1), ( -1), 504703784, ( -1), 426216536, 485105861, 386606705, 663170774, 727643789, 312167619, 758375971, 720032902, 517526808, ( -1), ( -1), 279845523, 179480604, 150411749, ( -1), 2740458, ( -1), ( -1), 25762523, ( -1), ( -1), ( -1), 233188085, 256416739, ( -1), 957954338, 266103857, 112317015, ( -1), 802047109, 891686513, ( -1), ( -1), 86043353, 636899194, ( -1), 884704626, 428746864, 379533563, 587418763, 248983208, ( -1), ( -1), 253818603, ( -1), 570040954, 59529540, 820608018, 882885507, 415826338, 902846895, ( -1), ( -1), 67479130, 126587636, ( -1), 762721758, 438479785, 402114442, 197131264, 712347055, 967917868, 185448537, ( -1), 716215260, 806353119, 91194834, 601294605, 710361444, ( -1), 689096571, 438305450, 770871711, 287475835, 222371653, 509305898, ( -1), ( -1), 872809403, 694212965, 379544730, 375026334, 916471420, 828640773, ( -1), ( -1), 562037105, ( -1), 226618703, ( -1), 862222976, 674830448, ( -1), 900439578, 752078971, ( -1), ( -1), 133442895, ( -1), ( -1), 379592095, 779107216, ( -1), 539314176, ( -1), ( -1), 669026348, 745248426, 386421598, 854222090, 665646528, 627394223, 696211177, 446992918, ( -1), ( -1), 290909115, 740216797, 787653463, 854959158, 85559725, ( -1), 672560978, ( -1), 588555304, 95786321, ( -1), 830346613, ( -1), 928623334, 136489186, 783826607, ( -1), 462923063, 806807403, 786202500, ( -1), ( -1), 884391560, ( -1), 783791775, 590153162, ( -1), 422926938, 555854207, 360094848, 741225649, 899908044, 440842543, 870507822, ( -1), 184327228, 384425948, 964148324, 609535241, ( -1), 358295559, 103691176, 680196014, ( -1), 519440048, 919680733, 509335243, 598929838, 402407085, 686606851, ( -1), 563939820, 391629276, 581431334, 110199330, 299848438, 315346624, 389655340, 828833777, 60015565, ( -1), 801509181, 116262409, 749667734, 228333814, ( -1), 170012797, 577562264, ( -1), 569961923, 604127999, 404201611, 821061295, 946893024, 813339788, ( -1), 479684592, ( -1), 708425908, 666092365, 687377095, 14072309, 823690801, ( -1), ( -1), ( -1), 365470137, ( -1), 946592887, 747504810, 366407723, 376277391, 977661613, ( -1), ( -1), 655791006, ( -1), ( -1), 101473008, 588318468, ( -1), 265423839, 954222147, 425381868, 841344179, ( -1), ( -1), ( -1), 490644482, 163566682, ( -1), 327631096, 829128376, 32115888, 987722017, 409260470, ( -1), 747962413, ( -1), 644077595, ( -1), 352882517, 759970430, 6059933, ( -1), 962180751, 889174345, 606662236, 108071211, 578010426, 662887627, 626302337, ( -1), 274863306, ( -1), 885202842, ( -1), ( -1), 698563231, ( -1), 118061441, ( -1), ( -1), ( -1), ( -1), ( -1), 976351468, ( -1), 374423307, ( -1), 719571465, 694532510, 881715068, 80502597, 98649475, 350320949, 191244351, 526995159, ( -1), ( -1), 571709905, 786682647, 853136270, 817868984, 467840266, 431100749, 27883001, 114300570, ( -1), 809443304, 350710795, 149953068, 789383405, ( -1), ( -1), 129234276, 190819286, 702402749, 141026677, ( -1), 477083339, ( -1), 242824174, 884912541, 837091215, 600780877, ( -1), 689991944, 51851482, 47956124, 604905148, 260414197, 737621241, ( -1), 671006493, 170521971, 2755672, 708319820, 306120098, 89266889, 852701986, 458609929, ( -1), 447645941, 215619567, 693635621, ( -1), 684419300, 383900442, 324695031, 621499311, ( -1), 138890913, 402481801, 284718791, 943517921, ( -1), 946288117, 426009690, 266989060, 135820780, ( -1), 746884165, 637268594, ( -1), 242752677, ( -1), 599091431, 213581511, ( -1), ( -1), 421259076, 834110614, ( -1), 518049914, 640148898, 602896612, 975498428, ( -1), 566556628, ( -1), 136103868, ( -1), ( -1), 507517801, 108969142, ( -1), 995149848, ( -1), 926270300, 67021094, 262931614, 507400900, 153252127, 511235238, 248278530, 439094083, 138770816, 238338396, ( -1), 735441060, 767286324, ( -1), 586954836, 209742631, 896493965, ( -1), 761550026, ( -1), ( -1), 196755020, ( -1), 432996410, 517923848, 708249930, ( -1), 16639889, 152893572, 360326906, ( -1), 331522680, ( -1), 245312919, ( -1), ( -1), 535247641, ( -1), 996008749, 270884005, 551274429, 597339890, 991332586, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 566241432, 499822012, 798880834, ( -1), 641297886, ( -1), 994766730, 361527841, ( -1), 334803513, 800342105, ( -1), 650340563, 768510918, 262973983, 711203648, 951761181, 239633856, 991559713, 392483793, 960847081, ( -1), 144135667, 650269110, 541277193, ( -1), 429766643, ( -1), ( -1), 738568555, 832980014, 341361943, 575642800, 440810970, 270639168, ( -1), 710481285, ( -1), 7991076, ( -1), 514107860, 732809498, 630113243, 989488480, ( -1), ( -1), 614839899, 696455239, ( -1), 675502462, ( -1), 773165997, 428783444, ( -1), 681633900, 318070731, 773168946, 799624331, ( -1), 305596901, 297178777, 551038592, 372954217, ( -1), 662460398, ( -1), ( -1), ( -1), ( -1), 467535327, 360155983, 489155358, 671233332, 811634670, 599331201, ( -1), 470365874, 507933352, 757965479, ( -1), 140629891, 10638601, 601234802, 807300856, 503398674, 483583157, 644875685, ( -1), 593745553, 771226699, 518633695, ( -1), ( -1), 304248829, 369451839, 667214092, ( -1), ( -1), 908674754, 965985178, ( -1), 342309946, 914563412, 647953143, ( -1), 774812917, 626153636, 984903026, 213066864, ( -1), 123555645, ( -1), 377915701, 165232062, ( -1), 651075918, 596657960, 265705273, ( -1), 658827332, 633328184, 237350163, 326289985, 610488653, ( -1), 273160490, 913129811, 640754855, 50976814, 647568038, ( -1), ( -1), 357682308, 845877616, ( -1), 76002780, 843920978, ( -1), 126667154, ( -1), 619595830, 27127227, ( -1), ( -1), 418915541, ( -1), 279433826, 38898482, 639453795, 343753797, 723544684, ( -1), 756697435, 997087686, 619997879, 233512100, 660973515, 862568758, ( -1), 728562101, 573511044, 914596617, ( -1), ( -1), ( -1), ( -1), 736659272, 777350070, 12016416, 737102409, 855048447, 275664031, ( -1), 390151615, 702972709, 57264859, 67007622, 312947420, 844359969, ( -1), ( -1), 800069286, 588132115, 254051888, ( -1), 592065071, 879625300, ( -1), ( -1), 49831897, ( -1), 955785428, 807946981, ( -1), 333498201, 60355707, 990435852, 753984003, 889277014, 288115862, ( -1), ( -1), 877140572, ( -1), 552186794, 139668687, 9262299, 671825289, 523782055, ( -1), 181452843, ( -1), 560364588, ( -1), 902513640, ( -1), 608658968, ( -1), ( -1), 459610027, ( -1), 612224330, 13232941, 917541957, 803750754, 165225928, 201759210, ( -1), 982940413, ( -1), ( -1), ( -1), 195641142, 396528403, 803401245, 951984773, 460154912, 491285656, 293803350, 962681133, ( -1), 681535942, 241958607, 61370490, 499055063, ( -1), 275578490, 176935722, 795814952, ( -1), 262798249, 240261371, 83862006, ( -1), ( -1), 892992136, ( -1), 602531824, ( -1), 54911450, 526123466, ( -1), 240642878, ( -1), ( -1), 965617595, 657216556, 932457272, ( -1), ( -1), ( -1), 382770803, 643818588, 491312345, 861544931, ( -1), 803214536, 838418507, ( -1), 630243561, 443036445, 401446547, 435715798, 173104394, ( -1), ( -1), ( -1), 841771981, 274090888, 213620372, 733017936, ( -1), 669967643, ( -1), 812994604, ( -1), 395624543, ( -1), 849082877, 89749587, ( -1), 640638606, ( -1), 396722634, 879174281, ( -1), ( -1), 594066273, ( -1), 213811133, 483074854, 633202901, 10279206, 756241838, 204439814, ( -1), 946218835, 721685475, 414659495, 299677098, 813081710, 342937428, 585135755, 438030243, 814876816, ( -1), ( -1), 711235702, 50115530, ( -1), ( -1), ( -1), 550354012, ( -1), 666257239, 826282128, ( -1), 595020785, 919130957, 932899894, 602560265, 686516415, 367447881, ( -1), 569795654, ( -1), 15341536, ( -1), 647998634, 98088912, 727533589, 271515948, 944774304, 857281782, 331778486, ( -1), 827319076, ( -1), 866039751, 356845823, 85831247, 10719812, 630195879, 27853423, 936280426, 434356010, 511105814, ( -1), 136080013, 682644618, 827654569, ( -1), ( -1), 198066236, ( -1), 505072101, 25356175, 55995284, ( -1), ( -1), ( -1), ( -1), 475463625, 412874715, 292643330, 181018920, 897501003, ( -1), 101747163, 317913401, ( -1), 923080372, 70099115, 619340602, 814621425, ( -1), 195479860, ( -1), ( -1), 872101556, ( -1), 51015635, 242609730, 9413783, 73657062, 455875729, 96598475, 747024871, ( -1), 299239912, 252845234, 154365934, ( -1), ( -1), ( -1), 689020799, 551512982, ( -1), 668353104, 337798317, 325309331, 23795240, 486775367, ( -1), 698213001, ( -1), 936591440, 805194087, 845342156, 473059066, 204190975, 542619387, 551558350, ( -1), ( -1), ( -1), 182969009, 658975486, 218417466, 13706384, 524048610, 500933052, 805003401, 902439189, 939499660, 889564804, ( -1), ( -1), 407943346, 161005557, ( -1), 311976721, 654077304, 172031510, 178206102, ( -1), 747489913, ( -1), 381328353, 746035911, ( -1), 39771633, 79786207, ( -1), ( -1), 586701822, 803560400, 807581437, 40625885, ( -1), ( -1), ( -1), ( -1), 263393705, 996851625, 577549527, 606020743, 75336185, 759038207, 364729558, 896762847, 987377154, 912608081, ( -1), 433912692, ( -1), ( -1), 652059484, ( -1), 932790602, 762699502, ( -1), 954336110, 625946522, 612637366, ( -1), 552831134, ( -1), ( -1), 791216487, 75385270, 210981981, 720462102, 937855279, 406780342, 814499423, 641023100, 968398188, 379680456, 210283132, 660706571, 75634841, 141708664, ( -1), 560931045, 490416134, ( -1), 13094527, 705892612, 640032810, 52632360, 149840378, 656377588, 179633831, ( -1), 790350290, 982920322, 869728642, 188674726, 324463850, ( -1), ( -1), 185128041, 496376218, ( -1), 332800536, 287039033, 941726956, 798091915, 830985847, 923244705, ( -1), ( -1), ( -1), 755172138, 8727239, 800063187, 341710250, ( -1), ( -1), ( -1), 65130495, ( -1), ( -1), 188652279, 37450024, 410839705, 739510471, 351134753, 853459217, 984293085, ( -1), 590715812, ( -1), 678033423, 390932986, 322134843, 736611180, 807964398, 673482619, 946889480, 564069380, ( -1), 518721923, 390965338, 764854578, ( -1), ( -1), ( -1), 692362145, 53292898, 513931260, 899456281, ( -1), 899543013, 966264077, ( -1), 740327060, 15620053, 420367789, 311378701, 521484137, 26107319, 404066513, 999474754, ( -1), 22728496, 475669734, 882228868, 225509267, ( -1), 90508996, 880938425, 5184535, 663651667, ( -1), ( -1), 388368886, 329244949, ( -1), 11663007, 912191562, ( -1), 293672292, 31800506, ( -1), ( -1), ( -1), ( -1), 874971099, 857042406, ( -1), 123861975, 970879440, 221017454, ( -1), 205118784, 895604366, 399570656, ( -1), 503880144, 323710426, ( -1), 925626367, 825174195, ( -1), 740740197, 921587804, ( -1), 382673865, ( -1), 189827103, 575614528, 935482570, 762653432, 265701201, 630041716, 951356689, 988113146, 762543957, 228046941, ( -1), 759864567, 957112993, 837910862, ( -1), ( -1), 335266394, ( -1), ( -1), ( -1), 552159340, 53111304, 804259114, 664950045, 580274337, 290422011, 337848344, 530604205, 24101236, 694219972, 90774847, 587315486, ( -1), 574650869, 893221907, ( -1), 345780071, 76749370, 235292334, ( -1), 93881763, 283827722, ( -1), 897412689, 305125417, 338724385, 539918026, ( -1), ( -1), 352132631, ( -1), 116352135, 266975536, 908511375, 35764149, 148073991, 229433414, 19877511, 988986799, 964287889, ( -1), 875244756, 340308353, 287860143, 189650851, 376875587, 678444648, 250979778, ( -1), 868355027, 658056144, 981744733, 46165823, 370303116, 853935292, 930064628, ( -1), ( -1), 773378167, 494361412, ( -1), 245111723, 858287314, ( -1), ( -1), 100371821, 166915520, ( -1), 401532001, ( -1), 828462966, 280906968, ( -1), 312758557, 245430047, 297790408, 59077470, ( -1), 22180935, 271547949, 184516282, 91629364, 175184042, 335098637, 992852972, 426943842, 25227191, 189357220, 162159646, ( -1), ( -1), 139021869, 133154647, ( -1), 761797145, ( -1), ( -1), 163269892, ( -1), 688181282, 289414343, 359950292, ( -1), ( -1), 128408952, 673255046, 749039301, 947727674, 417834656, 601992858, 402640315, ( -1), 897976772, 963945876, 695234302, 320712416, ( -1), 420165258, ( -1), ( -1), 32874975, ( -1), ( -1), 814901767, 645870958, 448629224, 236790980, 981359677, ( -1), 203222974, 3265293, 470715175, 922278852, 90679145, ( -1), 700644045, 965224865, 576969488, 931578650, 300713786, 661279195, 884805352, 228851178, 753983668, 910023096, 846719409, ( -1), ( -1), 217538837, ( -1), 612760639, 944258186, 833724605, 410098956, 451373396, 690161321, 744707511, 405489665, 803019866, 306474231, ( -1), ( -1), 966160484, 729107720, ( -1), 439315885, 788933953, ( -1), 212266280, 597803459, ( -1), 835464603, 250949835, ( -1), 367310746, 773664615, 534377572, 115136549, 190692240, 350788656, ( -1), ( -1), 482090239, 892836941, 637950558, ( -1), 486266539, 69007289, ( -1), 519491720, ( -1), 434232036, 875209489, 813468155, 482941003, 688853486, 298682758, 862422213, ( -1), 962709954, 325347659, 531106291, 665992717, 376055293, 702197200, 590240817, 133544590, 836957053, 496652086, 882568487, 974757782, 714928360, 54223886, 706599965, 988402660, 125115479, 423473983, 639137094, ( -1), 115688203, ( -1), 780424838, 5537199, 305756991, 803520818, ( -1), 727951306, 910247674, ( -1), ( -1), 605900038, 611692871, 26829596, 848497706, 249303007, 755507064, 452186126, ( -1), 718062877, 934148059, 975848244, 92214146, 717156886, 636356653, 185279648, ( -1), 582648925, 427499549, 521463945, ( -1), 913730539, 556272153, ( -1), 773233319, 304056731, 732316486, 607988268, 527187960, ( -1), 149600169, ( -1), ( -1), ( -1), 645871064, 272868795, 925802157, 392587980, 231524727, 599301233, 484332906, 704021323, ( -1), 549923276, 698970537, ( -1), ( -1), ( -1), 44656904, 705105597, 621141154, 134649467, 44840, 155938064, ( -1), ( -1), 666552599, 997527262, ( -1), 612367286, 330880255, ( -1), ( -1), ( -1), 467519212, ( -1), 443096448, ( -1), ( -1), 902564170, 143152865, 51801688, 119141276, 631647428, 686747338, ( -1), 998686923, 958418695, ( -1), ( -1), 144926105, 214753264, ( -1), 501500333, 639468049, 717192140, ( -1), 306503536, ( -1), 290430464, 165311157, ( -1), ( -1), 998623549, 75173639, 614201049, ( -1), 499106748, 386267137, ( -1), ( -1), ( -1), ( -1), 975879831, ( -1), ( -1), 757268788, 30073484, 100388259, 936006731, ( -1), 506810111, 669197107, 814354809, 622406952, 944761765, 330740390, ( -1), 643066132, ( -1), 412501244, ( -1), ( -1), 460605203, 406093913, 879635119, 498838344, 713678743, ( -1), 331038847, 436439480, 889887908, 173603152, 58659125, 956463372, 11154393, 989414346, 861389627, 393137612, 778895313, 903680655, 222365298, ( -1), 899513080, ( -1), ( -1), 134200039, 731260653, 35709990, 648420008, 809815823, ( -1), ( -1), 953509191, 139345984, 280229544, 135682020, 776363600, ( -1), 844133173, ( -1), ( -1), 234117420, ( -1), ( -1), 145892072, 29409140, 714478103, 404757482, ( -1), 629896668, 841169470, ( -1), ( -1), 212821845, 626941167, ( -1), ( -1), 924766211, 501035799, 428089709, 713391989, ( -1), 582980328, ( -1), 265996883, 228610452, 954522053, 365384365, 134129689, ( -1), ( -1), 119428566, 878914181, ( -1), ( -1), ( -1), 88355090, ( -1), ( -1), 264876655, ( -1), 909501138, 342306683, 450443164, 999721140, 656774028, 254213022, 612927095, ( -1), ( -1), 269365274, 796012060, 62313328, 627705348, 695566994, 230453225, ( -1), ( -1), 992456001, 979283129, 200342386, 64611878, 794258666, ( -1), ( -1), 638663253, ( -1), ( -1), ( -1), ( -1), 647445599, 72608315, 804729991, 843222672, 794065570, 37487809, 303325781, 167706461, ( -1), 441157294, 403154649, 494744136, ( -1), ( -1), 950403378, ( -1), 873284725, 169107628, ( -1), 17872215, 784434932, 694554399, 858068663, 646733446, 852233970, 25266688, 686637189, 393316405, 156657791, 55758768, 858206777, 682030358, ( -1), 112647394, 743382196, 836191697, 820710441, 52878634, 953490258, 673548100, 771322040, 271180092, 634959577, 819468646, 330666363, 112986057, ( -1), ( -1), ( -1), ( -1), 326229407, ( -1), ( -1), 449244560, 335669290, ( -1), 439403422, 683099662, ( -1), ( -1), ( -1), ( -1), 99139460, 763407717, 314546357, ( -1), 128911173, ( -1), ( -1), ( -1), ( -1), ( -1), 378585562, 568796784, ( -1), 602648641, ( -1), ( -1), 837555356, 876871962, ( -1), 327006900, 653121359, 801752033, 491605456, 493818989, 595191318, 278245224, 881006029, ( -1), 951581166, 557462674, ( -1), 356958860, 626288649, 767013507, ( -1), 341457159, 481170031, ( -1), 485309070, ( -1), 635211880, 413862247, 223458848, 669862743, 205535524, ( -1), 804235870, 466632932, 513427302, ( -1), 829842016, 655599543, 72535041, 970563122, ( -1), 667201012, 478981507, 15573439, 577780140, ( -1), ( -1), 272471750, ( -1), 235867417, 824597979, 446361274, 403896025, 333356436, 766568544, ( -1), 91310841, 959336643, ( -1), 9420663, 636482277, 787518956, 298101470, 229065420, ( -1), 581891976, ( -1), ( -1), 595314681, ( -1), 482547133, ( -1), 660127514, 856138025, 965896190, 693952555, 913490360, 241535443, 400182356, 269255583, 293643443, 123619457, ( -1), 637921295, ( -1), 488295998, 113512202, 680702544, ( -1), ( -1), ( -1), 245865175, 466583542, 958731443, ( -1), ( -1), 793549299, ( -1), 76443697, 840483919, 541217001, 214779232, ( -1), 865553593, 876246269, 104559765, ( -1), 447193534, 854228290, 190175850, ( -1), 479009546, ( -1), ( -1), 7401491, 703701466, ( -1), 272224930, 552445444, 432732069, 265329389, 113787173, ( -1), 684033230, ( -1), ( -1), 318496499, 509277578, 523472754, 163444597, 744287542, 211610432, 751044252, 532100501, ( -1), 685755284, 788476243, 436391089, 714449536, 415441154, 869152408, 461009111, 473757037, 793658749, 786151165, ( -1), 239594662, ( -1), 953167246, 684897376, 451640072, 490454795, ( -1), 423390203, ( -1), 728022363, 973951436, 692589270, 243044918, 324206262, ( -1), 308289768, 954484683, ( -1), ( -1), 978348488, 254244330, 556428678, 567896791, 513394095, 948086807, ( -1), 888911278, 491631550, 903278192, 60631300, 801171591, 461319937, 934625888, 686345971, 412500016, ( -1), 359808865, 220001422, 14291280, 743244897, 906092676, 711805739, 28542617, 679245234, 872254888, 471448950, 769484853, 583450648, 874565579, ( -1), 365555455, 410382565, ( -1), 571097043, 76719823, 12535621, 406591320, ( -1), 330465347, ( -1), ( -1), 53713847, 248875356, 342557167, ( -1), 52682225, 110572448, ( -1), ( -1), 40665593, 793510471, 873392933, ( -1), ( -1), ( -1), 857599215, ( -1), 510761072, 269019305, ( -1), 623259453, ( -1), 998571695, 556448253, 681892213, 991637909, 494794586, 319813124, 951254272, 376267294, ( -1), ( -1), ( -1), 568201017, 854211089, ( -1), 423325113, 208709014, 18916848, 541058655, 255392943, 568551954, 8685423, ( -1), 12125206, ( -1), 236154584, ( -1), ( -1), 303807913, 93176727, ( -1), 260154787, ( -1), 9146011, 537971967, 323227977, 505302532, 906390204, 273661682, 6693661, ( -1), 507740539, 825671672, ( -1), 857545899, 798826803, 69224703, 12119591, 896644878, 950929675, 912222143, 871544310, 693426255, ( -1), 717010451, 141469484, 397635641, 115312776, 290917922, ( -1), 349401871, 90380930, ( -1), 985313887, 192930207, 223435348, 555917082, 495778706, ( -1), 865589794, 111666517, 159482591, 635438834, 306191536, 315324675, ( -1), 167826669, ( -1), ( -1), 968977319, 442588114, ( -1), ( -1), 343228467, ( -1), ( -1), 905798474, 507580150, 442883534, 911724342, 949214089, ( -1), 139766532, ( -1), 193797965, ( -1), 571563343, 77485211, 493353613, 659288780, 274193856, ( -1), ( -1), 620512477, 309574267, 166614639, ( -1), 501072576, ( -1), 288496834, 18329029, 398390612, 227460708, 683544604, 870648823, 996680733, 758734622, 604790279, ( -1), ( -1), 373007391, ( -1), ( -1), ( -1), ( -1), ( -1), 983988481, 214183559, ( -1), ( -1), ( -1), 487764223, ( -1), ( -1), 228996905, 425035158, 981615424, ( -1), 683925791, ( -1), ( -1), 710517762, ( -1), 986949456, 101997272, 676084207, ( -1), 383342138, 457728409, 524826936, ( -1), ( -1), 151999947, 813698226, 293457167, 305793547, ( -1), ( -1), 291862482, ( -1), 531141936, 848971919, 655576811, 313364557, ( -1), 259928389, 788374865, ( -1), 556440840, ( -1), 297023209, ( -1), ( -1), ( -1), 603058037, 302561991, 698209202, 915436480, ( -1), ( -1), 118035584, 991126989, 495288263, 851558542, 947209830, 393703999, 683063907, ( -1), 134047727, 870648506, ( -1), 673173784, 152017438, 487322200, 758717455, 616253781, ( -1), 896049340, ( -1), 179274872, ( -1), ( -1), 326383987, 372892780, 677190839, 525086711, 351283158, 768820340, ( -1), ( -1), 604513546, 754093054, 340865971, 564018682, 409867760, ( -1), 898627716, 702561317, ( -1), 330259976, 410322540, 691063913, ( -1), 654134168, 103464844, 668518207, ( -1), 866494034, 948316393, 349363230, 565899737, 140332088, 493067540, 926661263, ( -1), ( -1), 560972055, 977366954, 752180534, ( -1), 95184221, 652840876, ( -1), 674236683, 150594505, 523651093, 992623005, 762806889, 998125634, 669754164, 677413997, 140197306, 202228645, 967504739, ( -1), 273040988, 611395508, ( -1), ( -1), ( -1), 298702720, ( -1), 431688692, 862830960, 733828780, ( -1), 929583680, 541443544, ( -1), 564891273, 697463913, ( -1), 562477926, ( -1), 804138462, 429636375, 674490598, 216771067, ( -1), 644913991, ( -1), ( -1), ( -1), 918260577, 472529086, 843264411, ( -1), 183684605, ( -1), 680935170, 652451833, 67797976, 37332862, 997950436, ( -1), ( -1), 57724464, ( -1), 375377509, 498720712, 824849155, 977275790, ( -1), 788524911, 419151039, 244347370, 262848674, ( -1), ( -1), 653075352, 355861087, 906028906, 605641690, 4530178, 504282890, 956719220, 409180633, 458160175, 818087270, 724040497, 194655955, ( -1), ( -1), 988342050, ( -1), 674375084, 631784760, ( -1), ( -1), 419136111, 897186713, 850136516, 939990955, 390759480, 522909579, ( -1), 784246219, 339163783, 420620285, ( -1), ( -1), ( -1), 654735566, 374039340, 308150271, 619789526, 176935047, 884125629, 793790126, ( -1), 553785964, ( -1), ( -1), ( -1), ( -1), 506139729, 25969284, 667693351, 298220507, ( -1), 546574298, 338124360, 592200083, 720535799, 664519197, 629311136, ( -1), 401810329, 234538709, 164134703, ( -1), ( -1), 150180737, ( -1), ( -1), ( -1), 600232128, ( -1), 257956680, 395696468, ( -1), 124200585, 693676945, 798514223, 934836207, 816725141, 578519328, 539663039, 316910353, 793702227, ( -1), 231637577, 852004941, 949728149, 962315750, 688901692, 898839018, ( -1), ( -1), 421342972, 954073241, 445614854, 190789410, 477074728, 343732046, 287244957, 292149830, 886114253, 809109632, 957046935, ( -1), 898591646, 49715281, 74376051, ( -1), 787353146, 569917879, ( -1), 627515105, 671342975, 670371675, ( -1), 313682207, ( -1), ( -1), 130535906, 828979646, 511773703, ( -1), 54073383, 470477864, ( -1), 175951310, 681857206, ( -1), 476093857, 749503118, 620017259, 167183373, 237828291, 394786240, 99511889, 464346404, 947714718, 283567823, ( -1), ( -1), ( -1), 617180054, 320174571, 979387815, 953835741, 42049728, 237350157, 917522157, 661166675, 367883848, 252746733, 437618380, 934860538, ( -1), 845355996, 569879081, 566794739, ( -1), 988598048, 606686943, 61572660, 553074593, 921111338, 290144006, ( -1), ( -1), ( -1), 760153109, 646906997, 540294274, 305194052, 845964271, 843303423, ( -1), 666470148, 967298161, 592752090, ( -1), 320104986, 776330149, 411234810, 99244197, 225511838, 417679502, 559625198, 94397674, 417219609, 641905728, 507188547, 376171393, 587299497, 39610807, 415165951, 344246294, 334219849, 318753860, 559200340, 38638013, 381097695, 145578443, 155012444, ( -1), 622202481, 105459425, 491725775, ( -1), 591343042, 72262708, 535047314, ( -1), 336978777, 398526424, 507096085, 825820791, 298458234, 795415317, ( -1), 766469384, 745542900, 617222788, 677929425, 181900100, 944059955, ( -1), 704683703, 586694339, ( -1), 869397561, 896878938, ( -1), ( -1), ( -1), ( -1), 806025572, 644403381, 963961443, ( -1), ( -1), 886041962, 920729389, 338214455, 287991447, 902268118, ( -1), ( -1), 799304217, ( -1), 286457390, 316760126, 795172559, 803362384, 939893945, ( -1), ( -1), 449494197, 961749523, ( -1), ( -1), ( -1), 196717303, ( -1), 945168427, ( -1), 815267304, 868974359, 269402381, ( -1), ( -1), ( -1), 435103760, 523040904, 952777933, ( -1), 847976179, 694042454, ( -1), 409454719, 387952761, 51329379, 739858611, 621611551, ( -1), ( -1), 657783267, 925493158, ( -1), ( -1), 685355088, ( -1), ( -1), 553036862, 539610754, 242383019, ( -1), ( -1), 773037161, ( -1), ( -1), 122155674, ( -1), 148432260, 815459499, 765417622, 219659555, 13793295, 274472442, 944853059, 664495350, 405808666, ( -1), 124185714, 874232292, 932230189, 470135406, 454994442, ( -1), 719248937, 213038982, 143698055, 444706880, ( -1), 841962621, 392543590, ( -1), 65587991, 81955945, ( -1), ( -1), 189267391, 227888972, 612743662, 484859302, 642796007, 730161184, 987185306, 592908816, ( -1), ( -1), 883077613, 141294144, ( -1), 520175073, 728130973, 538816854, 769953938, 646438224, 239661551, 785189843, 153735774, ( -1), ( -1), 278517914, 31999340, 838086766, 651461579, ( -1), ( -1), 377036420, ( -1), ( -1), ( -1), 55125479, 433739796, 280040340, ( -1), 447450669, 244151903, 855466109, ( -1), 757750513, 522590454, 593117739, ( -1), 543446480, ( -1), ( -1), 817919091, 49584660, 405243845, 714165371, 306088188, 693300878, 341486939, 434924766, 273376951, ( -1), 91456871, 966773576, 451046415, 870233121, 840142551, ( -1), 469633824, ( -1), 870685689, 574050806, ( -1), 419003258, 918116113, ( -1), 526164203, ( -1), 174472380, 56381831, 588285348, 11887676, 754672588, 622252439, 842747595, 638867067, 592137253, 309343857, 438391438, ( -1), 735619815, 739678511, 494302965, ( -1), 626454514, 140354739, 282173597, 599394027, 871932095, 947231600, 466182828, 377576330, 181526452, ( -1), 691697735, 743875155, ( -1), ( -1), 8755833, 863809577, ( -1), ( -1), ( -1), 252753639, 9516288, 23952320, ( -1), 814500499, 384573235, 969482733, 920874744, 996769423, ( -1), 304722231, 310896746, 321745161, 415788167, ( -1), 162735915, 634752787, 802615670, 956563713, ( -1), 988323806, ( -1), ( -1), 877822238, ( -1), ( -1), 977654834, ( -1), ( -1), 769484249, 408807879, 253121858, 74749730, 912958191, ( -1), 989571030, 987066528, 141925469, 763728844, 37025243, 307081114, 20989044, 981150458, ( -1), 214453015, 165423550, 360786544, 48633356, 320259596, 50744650, 681235261, ( -1), 311038499, 880413398, ( -1), 642397974, 586570619, ( -1), 68466882, 182458061, 962742298, 253538702, ( -1), 946572341, 122473712, ( -1), 703780665, ( -1), 271211527, ( -1), 391553805, 220785947, 324889880, ( -1), 911078569, ( -1), ( -1), 358939333, 451263349, ( -1), 997991847, 641986163, 82710273, 906912667, 719688146, ( -1), 722530100, ( -1), 396243131, 14135024, ( -1), 895076830, 742265500, 227139931, 121227552, 575487838, 1495189, 371228592, 185501321, 729135217, 950675128, ( -1), 905270803, ( -1), 383980034, 761084669, 255525398, ( -1), 777426791, 526382997, 464883225, 827641031, 109031231, ( -1), ( -1), ( -1), ( -1), 780411080, 661387494, 936542423, 312076003, ( -1), 564854614, 942679124, 325542158, 457460678, 466604805, 674983140, 542299655, 207480923, 576526061, 936303113, 813428359, 744254012, 106566689, ( -1), 616648865, 242885730, 764091269, 466213127, ( -1), 604410608, ( -1), ( -1), 532665546, 383685845, 778809538, 343006073, 252863777, 640842935, ( -1), 309820608, 922661402, 270885032, 136649591, 111516266, 778722797, 219251160, 617801492, 436717732, 702528633, 303825997, 697865434, 202783880, ( -1), 558261950, 122121517, 933831508, ( -1), 777525628, 752841667, 356673833, ( -1), 331036233, ( -1), 697354510, ( -1), ( -1), 482825123, 486443979, ( -1), 896464741, 851620876, ( -1), ( -1), ( -1), 379282271, ( -1), ( -1), ( -1), 773076425, 988153875, ( -1), 137189995, 791429087, 769518795, ( -1), ( -1), 292511061, 447969636, 745917095, ( -1), ( -1), ( -1), ( -1), 261235806, 891394724, ( -1), 690920081, 20625029, 260275355, 440960829, ( -1), ( -1), 721777103, 545617930, 865336710, ( -1), ( -1), ( -1), ( -1), 123935297, 472108866, ( -1), 582777262, 64177843, 337002398, 559196565, 106750843, ( -1), 45617821, 753134966, ( -1), 743094776, 455648408, ( -1), ( -1), 423351453, ( -1), 651720395, ( -1), 886700146, ( -1), 566791499, 66062104, 834080699, 362878936, ( -1), ( -1), 474764341, ( -1), 431618834, 893707813, 171271304, 666607745, 42867863, ( -1), 282298385, 529777797, 625233735, ( -1), ( -1), 988500945, 421705492, ( -1), ( -1), 714073653, 466204069, 49931377, 217061741, 331384924, 904423886, 331540765, 742836335, ( -1), ( -1), 37859141, 604225549, 52992310, 830160727, ( -1), 95771633, 845435534, ( -1), 392696616, ( -1), ( -1), 23277600, 569132921, 854754764, 33194705, 595592173, 258916101, 58088085, 515419494, ( -1), 382022169, 662418063, ( -1), ( -1), 343103630, ( -1), ( -1), 732636432, 173422559, 759497559, 262809988, 361239313, ( -1), 201313253, ( -1), 835271627, 404931436, ( -1), 541259216, 645692268, ( -1), 504280625, 623590225, 439673669, 293874220, 210022696, 789185392, ( -1), 435371778, 626325670, ( -1), 685929728, 931834703, ( -1), 739104260, 808992522, 479580774, 109406260, ( -1), 492394482, 260516185, 922352999, 453452069, 921007401, 140621084, 88479147, 294274464, 368648267, ( -1), ( -1), 668692177, ( -1), 559092218, 116199168, ( -1), 565263492, 717679694, 932530777, 129210997, 153058951, 994674468, ( -1), 365733111, 46931837, 409243910, 271325454, 757551977, ( -1), 175698040, 603158611, 612098019, 44598405, ( -1), 438286681, 703702416, ( -1), 667252309, ( -1), ( -1), 166440533, ( -1), 184827638, ( -1), 447544462, 50434551, 509756276, 754565482, 222224127, ( -1), 442479446, ( -1), 80609040, 700157054, ( -1), ( -1), ( -1), ( -1), ( -1), 347647601, 706220131, 153510251, ( -1), ( -1), ( -1), 796447072, 574994740, ( -1), 684125297, 198845362, 309229666, 751922631, ( -1), 352731958, ( -1), 127375883, 604982198, 298816109, 957357754, ( -1), 517473621, 115126104, ( -1), 953936760, 721969921, ( -1), 515325215, 167659830, 810697478, 705434294, 251397231, ( -1), 619923736, 834573625, ( -1), ( -1), 410911965, 992785803, 775446339, 714123843, 970188141, 360342878, ( -1), 639767057, 211829192, ( -1), 781436869, 747947851, 305614483, ( -1), 560625664, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 195656843, 888515574, 419396405, ( -1), 165912140, ( -1), ( -1), 784018058, ( -1), 116046155, 30719156, 132283222, 268556149, 288522394, 239185336, 133543296, 976988881, 724169994, 855750257, ( -1), 943321502, ( -1), ( -1), 503464146, 607280850, 741872065, 277915424, ( -1), 571835931, 978712266, 330663808, 689159530, 673073068, 219494851, 21616085, ( -1), 356388438, 611659788, 797870486, 512913815, ( -1), 222890098, ( -1), ( -1), ( -1), 545802523, 178255013, 405073658, ( -1), 647312659, ( -1), 944850262, 175777552, ( -1), 791674711, 689837686, 528244297, ( -1), 919495985, 228479785, 637428795, 871213461, ( -1), 632358469, 44850191, 245497434, 530918545, 539474973, ( -1), ( -1), 965414338, 465707456, ( -1), 604560522, 31736414, 848111136, 289145444, 686424800, ( -1), 17932739, 370744505, 479670553, 559791235, 505042453, 955574690, 99380690, 766935009, 342547819, ( -1), ( -1), ( -1), 383946467, ( -1), 582419734, 358819691, 152044846, 715517076, ( -1), 128637609, 323119444, 831195455, 566081417, 781614179, 330244311, 519220814, ( -1), 371416199, 543533518, ( -1), 287745611, 691488808, 530549242, 686760995, ( -1), 963995618, 424470176, 330142255, ( -1), ( -1), 286385585, 696895394, 708255909, ( -1), ( -1), ( -1), ( -1), 645123591, 338859261, ( -1), 250079158, ( -1), 101933716, 469017439, ( -1), 662326959, ( -1), 633538017, ( -1), ( -1), ( -1), ( -1), 777743475, 153421375, 891753373, 756303824, ( -1), 583651240, 632761152, 915352169, 346702692, ( -1), 268985266, 816166266, 230385202, ( -1), ( -1), ( -1), ( -1), 533281458, ( -1), 702550417, ( -1), 289248783, ( -1), 354741592, 81684504, 693783705, ( -1), ( -1), 542481636, 162669635, ( -1), 147091403, ( -1), 842231042, 467839223, 55424315, 485070414, 452794928, 752050338, 237682542, 591587564, 181883547, 295881081, ( -1), 555923233, 593475068, 625234958, 274813478, 372365128, ( -1), 643293758, ( -1), 581554770, 256687364, 223077069, 758672734, 904721539, 14441618, ( -1), ( -1), 792438928, 188581347, 161125941, ( -1), 9301638, 156959484, ( -1), 69960333, 597593478, ( -1), ( -1), ( -1), 106475755, ( -1), ( -1), ( -1), 909907260, 228498365, 504538384, 370189238, 827214759, ( -1), ( -1), 392537446, 894724101, ( -1), ( -1), ( -1), 729565206, ( -1), 763568204, 136839178, 897513687, ( -1), ( -1), 590453958, 328027374, ( -1), 667647060, 208720830, ( -1), ( -1), 872111562, 117897529, 185733823, 177553454, ( -1), 656719541, 742180827, ( -1), 445403799, 360330240, 471470423, 614652953, 582981012, 750041142, 766650303, 457390661, 122720273, 945161595, ( -1), 428093912, 874030913, 254492890, ( -1), 608591869, 297941050, 142541407, 662900882, 390217337, 579538859, 387192218, 631549724, ( -1), 684074835, 757716987, 460528702, ( -1), ( -1), 872371642, 229006013, 67976684, 30211999, 168737988, 499911387, 447788924, 15349197, 694375712, 927556530, 553261261, 208979304, 84238613, 423241694, 933025116, ( -1), 261766175, 357499991, 64147640, ( -1), 956303553, 637062954, 256179973, 214986351, ( -1), ( -1), 533874229, 103688757, 448361912, 236600117, 702498807, 562508530, 435022709, 100007723, ( -1), 539992449, ( -1), 163666647, 509579418, ( -1), ( -1), 677436276, 724277835, 928396255, 88875703, 660861212, ( -1), ( -1), 250982699, 147712104, 864191410, 240773609, 347103257, ( -1), 21784669, ( -1), 442113180, 633830690, 158044950, 688581836, 341626137, 309608483, 917377729, 571807799, 588152860, 92423901, 88309500, 379913707, 417437972, 881284520, 699813311, 739485359, ( -1), 724712039, 404330015, 857440201, 924342723, ( -1), 111266134, 853991979, ( -1), 255020430, ( -1), 743095042, 449391073, 464841449, ( -1), 644036444, 520028257, 955518405, ( -1), 230009611, 198741550, 827177590, 18351960, 852939756, ( -1), 620441000, 557373491, ( -1), 845975037, ( -1), 186034130, 584083797, 979514178, 462080368, 695656465, 800617854, 487423923, 11808268, 723907005, ( -1), ( -1), 264469703, 981851059, 774323424, 13562737, 950351486, 29483785, 388638788, 960464779, 70792834, 537121167, ( -1), ( -1), 874894396, ( -1), 627640231, 476749292, 334536089, 608393832, ( -1), 507167311, 357134398, 251166023, 264467724, 636992720, ( -1), 717818879, 363010436, ( -1), 10098661, ( -1), 112044579, 814890306, 21552967, 640942165, 453417683, ( -1), 670374313, 783739790, 736868187, ( -1), 473868228, 136211937, 718973130, 951022422, ( -1), 63158948, 219269908, 621238263, 30747866, ( -1), 615404013, 295912005, 369155997, 169252063, ( -1), 826392017, ( -1), ( -1), 989091326, ( -1), 90981442, ( -1), 129847771, 700165626, 255676279, ( -1), 451370308, 441955401, 69293314, ( -1), ( -1), 766279081, 470749266, 535136867, 83432494, 442984717, 596460309, 114995616, 658690206, ( -1), 555659458, ( -1), ( -1), 77610024, 242363170, ( -1), 52633858, 901842818, 616070211, 853787524, 164884233, ( -1), ( -1), ( -1), ( -1), 352745697, ( -1), ( -1), ( -1), 351611915, ( -1), 521778474, 820228011, 174019456, ( -1), ( -1), 165448691, 126491560, ( -1), 691388083, 183925251, ( -1), 339196828, 425731887, 873318693, 766176699, ( -1), 715921855, 965295821, 653390067, 62133697, 45242439, 357865827, ( -1), ( -1), 605389648, 238341398, ( -1), 888039900, 356779217, 851100886, ( -1), 673108385, 665362389, ( -1), 233972803, ( -1), 156040769, 76101160, 8034032, 658298317, 103528709, 543129273, 291149414, ( -1), 612421521, 202780809, 537127095, 659049555, 549297525, 442158738, 500116210, ( -1), 677864870, 29887686, 51263459, 622698019, ( -1), ( -1), ( -1), ( -1), 390817593, 538973880, 115130472, 621552458, ( -1), 216671222, ( -1), 231700091, ( -1), 308251125, 54720185, 541681365, 928172580, ( -1), ( -1), 355410245, 961029096, 308153015, 75386657, ( -1), 430935307, 945134730, 554733958, ( -1), ( -1), 544971344, 770727082, 266062645, 126447594, ( -1), 850526394, ( -1), 481447578, ( -1), 369063475, 494412207, 209744720, 987582112, 671698672, 173335177, ( -1), 802788233, 707283582, 53490603, ( -1), 755072764, 468437898, 333153796, 938270076, 211923103, 171552009, 658945241, 311151701, ( -1), ( -1), 464626958, 446453516, ( -1), ( -1), 819520839, 806905588, 495477220, ( -1), 619016053, 591896986, ( -1), 798807512, 429130998, ( -1), 602346362, ( -1), 966840248, 698376158, 974588828, 530969350, 963899751, ( -1), 458235304, 217954555, ( -1), 250203719, 161097898, ( -1), 537432323, 85003600, 239181218, 556872182, 384147148, 188584864, 549573572, 461180293, 375783801, ( -1), ( -1), ( -1), 288817568, 791493520, 383349843, 849531333, 237242123, 456696977, 663469911, 249673798, 314744276, 707395451, 699462845, ( -1), 822535454, 950071379, 421435725, 995196864, ( -1), 20344932, ( -1), 4073903, 746424713, 93978045, 6672579, 999781086, ( -1), 947907539, ( -1), 566939214, ( -1), ( -1), 533234208, 622442871, 37751101, 346086090, 1091106, ( -1), ( -1), 906947132, 725007265, ( -1), ( -1), ( -1), 942391704, 226421739, 200073997, ( -1), 241677584, 789756619, ( -1), ( -1), ( -1), 524783636, 99345908, ( -1), 138280755, ( -1), ( -1), 281664007, ( -1), 557469295, ( -1), 578295351, ( -1), 591961012, 159449293, ( -1), ( -1), 296117328, ( -1), 796938344, ( -1), 230952232, 943965171, 304425789, ( -1), 641082729, 4225697, ( -1), ( -1), ( -1), 720119180, 273058422, 724703648, ( -1), 426754957, 850912386, ( -1), ( -1), 565302658, 920455842, ( -1), ( -1), 206311672, 607571591, 860933352, ( -1), ( -1), 391518941, 774264159, 489996217, ( -1), ( -1), 774062269, 887306204, 335708665, 115052545, 74910067, 286157990, ( -1), ( -1), 24676012, 136011022, ( -1), 119616481, 776580542, 40679818, 668353854, ( -1), 813667418, 33978485, 714427717, 574719496, 23035152, ( -1), 64196340, ( -1), ( -1), 573782415, 550536722, 641626294, ( -1), 725637824, 989851795, 332067660, 32022276, 411401766, 129914750, ( -1), ( -1), ( -1), ( -1), 581755465, 397953418, 357386349, ( -1), 613963906, 157478870, 553250188, 137119564, 737433138, 369012085, 222160791, ( -1), 856452110, 384545919, ( -1), ( -1), 847413408, 36592523, 718165511, ( -1), ( -1), 836354022, ( -1), 189406399, 333758498, 424880168, ( -1), ( -1), 625933860, ( -1), 186995586, 467314357, 185787823, 787894285, ( -1), 821616103, 400183539, ( -1), 387768283, ( -1), ( -1), 204454269, ( -1), 75245494, ( -1), 937124157, 425515859, 453484984, 792948847, 408113626, 871698350, ( -1), 214501464, 422552393, ( -1), ( -1), 48682070, 534802341, 670827970, ( -1), 704485318, ( -1), ( -1), 119175374, ( -1), ( -1), 23240441, 899987948, ( -1), 709810745, ( -1), 898427372, 852280406, 66412598, ( -1), ( -1), 301409345, 466162193, ( -1), 556253001, 573601063, 506812931, 975719801, ( -1), 908990729, ( -1), ( -1), 531559334, ( -1), 12452060, ( -1), 350425734, 827671801, 573618970, ( -1), 103825661, 802863844, ( -1), 837279263, ( -1), 532406575, 28104328, ( -1), 819821311, 425763446, 321327394, 318896343, 978824075, ( -1), 874914061, 558611001, ( -1), 749930822, ( -1), ( -1), 468927403, ( -1), 441828717, 32761975, ( -1), 791260045, 490095750, ( -1), 859046126, ( -1), ( -1), ( -1), 114938206, 496607963, ( -1), 63172314, 760854661, ( -1), 144675823, 481687181, ( -1), ( -1), 161971567, 542758661, ( -1), ( -1), 32706262, 805088944, 681955101, ( -1), 267856783, 633425402, ( -1), ( -1), 580148264, ( -1), 495407535, 28121986, 862889833, 166890777, ( -1), 796035183, 543031753, ( -1), ( -1), 354434301, 432779615, ( -1), 805483767, 677747756, ( -1), 684511865, ( -1), 320865246, 998237437, 223502200, 44382299, ( -1), 509713204, 574886638, 433268209, ( -1), ( -1), ( -1), 551158022, 814748820, 956457719, 584141210, ( -1), 870036071, 186880550, 18305496, 168719081, 191827266, 672415044, ( -1), 134344034, 103122814, 364196842, 479980660, ( -1), ( -1), 928850496, 691099867, 369692879, 613533826, 619903578, ( -1), ( -1), 345099196, ( -1), 181497997, 130896382, 394731503, 52644153, 657694200, ( -1), 909186684, 67419846, 638334489, 307967298, 106743536, 304966782, 392195036, 466862907, ( -1), ( -1), 223092333, ( -1), 681885954, 802460698, 397608897, ( -1), 519535996, ( -1), 138485649, ( -1), ( -1), 563670354, 536310253, 199887781, 838724394, 503029562, 602822458, 739107773, 415709581, 619368144, 919372932, 457810942, 103864932, 835626244, 850768050, 446892043, ( -1), 357376855, 493974574, ( -1), 999510721, 446213444, 314633062, 454618131, 259335587, ( -1), 532945863, ( -1), 128717315, 621612630, 603944697, 633606951, 771627956, 207259744, 199533360, 928617890, 664439522, 884913403, 932811603, 393734856, 634051974, 513666986, 813358033, 971440513, 313019685, 774968300, 738350428, 595320052, ( -1), 876885380, 177475890, ( -1), 420791598, 679527831, ( -1), 615782974, ( -1), ( -1), 383166897, 458727377, 647544112, 815917329, 763099548, 338016403, 481982738, 833371872, 166463679, 475545661, ( -1), ( -1), 867539894, 235778322, ( -1), 440129379, 988564816, ( -1), 452288100, 113603301, 622635912, 736660677, 740873285, ( -1), 606192984, 792938344, 575127880, 659324639, 503159774, 817652264, 789310381, 535936489, 284998563, 821477844, ( -1), 861092468, ( -1), 329054772, ( -1), 339692047, 358770544, 465619556, 140000853, 704886237, ( -1), 204555257, 666004647, 870421455, 663790461, 293446756, ( -1), 256103313, 892318177, 663173586, 388508930, 890510488, 123961725, 961785465, 273453510, 437276674, 587020319, 888137222, 146044145, ( -1), 948729053, ( -1), ( -1), 356922763, 652134631, 547895390, ( -1), ( -1), 132111723, 181180912, 40259470, 293204353, 772233848, 31198624, 91891542, 289248618, ( -1), 257167018, 640747986, ( -1), ( -1), ( -1), 476009782, 362516852, ( -1), 457907373, ( -1), 528475671, 184949462, 160681261, 1511747, 166669020, ( -1), ( -1), ( -1), 733251357, 145173825, ( -1), 709991734, 437905098, 880679545, 447916249, 728372376, 282340122, 447659192, ( -1), 538483488, ( -1), 580561396, 672300570, 242920088, ( -1), 115022992, 568489643, 306806584, 24930733, ( -1), 636040592, ( -1), 923800670, 208345551, 678288020, 918260020, 249494319, 611565980, ( -1), 130704107, 828471160, 955424794, 980939427, 703032906, ( -1), 106961421, ( -1), 186189350, 451026338, ( -1), ( -1), ( -1), 128100967, 855494388, ( -1), 708047059, 984265199, 923217052, 220377770, ( -1), 267094695, 814610450, 871324740, 297046336, 80998448, 403280552, 468392061, 877879343, ( -1), 68100439, ( -1), ( -1), 720433326, 646407346, 51088391, 65443324, ( -1), ( -1), ( -1), 440760662, ( -1), ( -1), 218736844, 952566591, ( -1), 229789798, 922862240, 942868223, 990208137, 843163825, 623556527, 39881295, 166015641, 511869374, ( -1), 618996738, 917467189, 592602803, 655376967, 686953354, 197466187, ( -1), 713687252, 512108183, 656878132, 958766303, ( -1), 336487543, 151809185, ( -1), 406636035, ( -1), 557713933, 895579539, ( -1), 280947621, 95446751, 165007553, 225759610, ( -1), 196014129, ( -1), 844325913, ( -1), 5872139, 919919646, 561885674, 702532421, 232495430, 183276555, 536635139, 148011021, 25999205, 79130956, 464923511, ( -1), 275364315, 910201705, 255275250, ( -1), ( -1), ( -1), 968394988, 241791772, 845800562, 295717434, 565256781, ( -1), 245711189, 920393223, 467135706, 370323385, 470696477, 316723869, 825124561, 156706361, ( -1), 880905041, 287209920, 670567935, 542552436, 636143034, 259043039, 455971591, ( -1), 118234825, 511236683, ( -1), ( -1), 925999549, ( -1), 818814024, ( -1), 867021616, ( -1), 663302224, 350064422, 864230495, ( -1), 603062787, 64916300, 96044473, 204873441, 792026335, 435690081, 35849617, 833676850, 128178315, 194858124, 89993980, 465752478, 206890733, 772021939, 65712616, 122995169, ( -1), 37163999, 503552159, ( -1), ( -1), 19906524, 890649630, ( -1), ( -1), ( -1), 696486929, 484156958, 79789513, ( -1), 35650315, 702876300, 479672841, 623873935, ( -1), ( -1), 623492869, 937740012, ( -1), 179387326, ( -1), 788428594, 266090291, ( -1), 230615897, ( -1), 549855083, 888022737, 914040315, 898556847, 67763530, 822127513, ( -1), 694692791, 405825991, ( -1), 517330713, ( -1), 130273110, 407276912, 779695700, ( -1), 686050733, 721018009, ( -1), ( -1), 267097099, 187220680, 5261681, ( -1), 947459416, 75503946, 582782535, 33147055, ( -1), 232168494, 943548029, ( -1), ( -1), 554812290, 27994966, 488619634, 907513547, 452255643, ( -1), 9783012, 462429702, 286397033, 492699261, 234013628, 185585903, ( -1), 639220839, ( -1), 327926415, 726232552, 663414768, 784786071, 194691201, 758199870, 740428988, ( -1), 626754496, 962488466, 620642845, 326383389, 955325894, ( -1), 913151406, ( -1), 70106627, ( -1), ( -1), 613767178, 191386128, 663896409, 419438224, 772606511, 296560234, ( -1), 121365360, 424384136, 998337862, 525261949, 76347872, 292178019, ( -1), ( -1), 575385529, 547647639, 277767179, ( -1), 305597013, 427815861, 51660747, 123142029, 65883169, 544158833, 156448004, ( -1), ( -1), 956582830, 673505613, ( -1), ( -1), 66431083, ( -1), 706591619, ( -1), 706204192, 901041535, 207220202, 729692150, 34065986, 371788477, ( -1), 441861542, 794717095, 509603390, 690341025, 845550380, 804362087, 167584979, 871228469, 19776577, ( -1), 291118787, 507632649, ( -1), 974519542, 126975950, 895206784, ( -1), 854775363, 753855813, ( -1), 745704318, 203143516, 998386009, 363128640, 793227826, 2656571, 284390585, ( -1), 510350731, ( -1), 700402233, 407576718, 697066575, ( -1), 163276434, 265828699, ( -1), 467661424, ( -1), 659115088, ( -1), ( -1), 433536222, ( -1), 443088082, 72344342, 218743454, 793532826, 78394412, 222030918, 492979665, 717283574, ( -1), 870085865, 520379504, ( -1), 229387061, ( -1), ( -1), 179225754, ( -1), 328877412, ( -1), 153058003, 611717215, ( -1), 99740118, 236529525, 186601797, ( -1), ( -1), 7025463, ( -1), 620278952, 976568783, 166324776, 959631618, 510365288, 635653570, ( -1), ( -1), ( -1), 949547727, ( -1), 825826614, 728056135, ( -1), 777481881, 374682125, 49116093, ( -1), 616405144, ( -1), 691883794, 906672439, 229063810, 874892833, 488740602, 125206771, 268301375, 55641049, ( -1), 16994746, 492194265, 873560484, ( -1), 403398861, 980378196, 823941812, 756330725, ( -1), 741004192, 892468047, 931884920, 416538328, 780806102, 896218282, ( -1), 134686792, ( -1), 139416405, ( -1), 935785485, 909574601, ( -1), 277181217, 266096025, 714168033, ( -1), 507934607, 995958556, 491560820, 543532218, ( -1), ( -1), 925997773, 958177469, 69901945, 256942133, 915212544, 106725638, ( -1), 554560131, 609537026, 367313361, 894816711, ( -1), 469343628, 986239642, 990605552, ( -1), 982740805, 513280632, ( -1), 524768013, 585529530, 133357964, 499611616, 364005309, ( -1), 298799302, ( -1), 39299756, 671386304, ( -1), 999932944, ( -1), ( -1), 972121034, ( -1), 989037721, 954821750, ( -1), ( -1), 291983826, ( -1), 127651155, 404846051, ( -1), 825303053, 222541718, 140439957, 868470120, ( -1), ( -1), ( -1), ( -1), 433537173, ( -1), ( -1), ( -1), 990816324, ( -1), 874234485, 61174589, 360686969, 138367643, 307884048, 100465073, 242795626, ( -1), 147833961, 532370396, 502998641, ( -1), ( -1), 130767003, 858710122, 931253556, ( -1), 252925863, 853115148, 814488896, ( -1), 914525270, 860760688, ( -1), 191929085, 692039474, ( -1), ( -1), 848242394, ( -1), ( -1), 595069013, 827550140, ( -1), ( -1), ( -1), ( -1), 717163343, 1649358, 790407150, 604647699, 791279138, 74028641, 794610478, ( -1), ( -1), 443191190, 234782753, 583512398, 802345064, ( -1), 244986735, 958187229, 60737945, 701550904, 469571736, 165315988, ( -1), 949902277, 357201431, 388170010, 14042446, 516512955, ( -1), 53637367, 24886949, ( -1), 261668695, 642867755, 494281114, 937236540, 179417750, ( -1), 847810741, ( -1), 767179030, 638044700, 749164950, 933652226, 904801070, 955526290, ( -1), 275814093, 155663474, 820240027, ( -1), ( -1), 126610653, 862885363, ( -1), 301989128, ( -1), 415697896, 124342215, 403618811, 227019727, ( -1), 930994259, ( -1), ( -1), 581177982, 879099431, 751542235, 554442086, ( -1), 971852817, 873036356, 377967029, ( -1), ( -1), ( -1), ( -1), 567720187, 192474972, 150084569, 285129452, 785965503, 223731189, ( -1), 399532453, ( -1), 238784079, 893460042, ( -1), 979297000, 487995833, 233381675, ( -1), 784279335, 572593574, 891516267, 741031860, 695244715, 646251592, ( -1), 19218383, 730784145, 242861449, 872672874, ( -1), 594528505, ( -1), ( -1), 779169399, 98036988, ( -1), ( -1), 261380377, 4493138, 89513697, 33360058, ( -1), 202257499, ( -1), 482951805, 361570275, ( -1), 920975494, 624774871, ( -1), 164978577, 872432769, 914600124, 17843710, 9863625, ( -1), 135898337, 599336270, ( -1), ( -1), 408606353, 437174956, 166538949, 990890088, 431754375, 314978910, 291824477, 550502335, 730977819, 703465741, ( -1), 811093978, ( -1), ( -1), 853643418, 68020234, 923417625, ( -1), ( -1), 437645419, ( -1), 979864510, 883350392, 364840987, ( -1), 818354733, ( -1), 198338820, 663279868, ( -1), 38326028, 245044242, 832986942, 71264227, 862659051, 719427946, 237675172, ( -1), 191198246, 53870084, ( -1), 406208098, 783868930, ( -1), ( -1), ( -1), ( -1), 908665238, 915687039, ( -1), ( -1), 482126654, 139267754, 56751544, 424485314, 958605149, 932082027, 8441300, 325325286, ( -1), 423658307, 746385947, 502122105, 392193731, ( -1), 509407493, 501112049, 56123586, 603410939, 593287251, 210330999, 234981169, 857809149, 626079530, 302540697, 316782294, 946703836, 838978431, 395689728, 62667075, 74016975, 245437937, ( -1), 239560668, ( -1), 931595421, 187221628, ( -1), 891621527, ( -1), 2770015, ( -1), 225926186, ( -1), 178074980, 612011288, 101497167, ( -1), 497651305, 727015312, 241477116, ( -1), 808018028, ( -1), 907795557, 108227135, ( -1), ( -1), 309742737, 304521879, ( -1), 180377896, 997922892, 206543455, 500955783, ( -1), ( -1), 88924008, ( -1), ( -1), 588946468, 558783930, ( -1), ( -1), ( -1), 151118709, 621093565, 956659746, 32944571, 981164979, 449147208, 181809976, ( -1), ( -1), ( -1), 57686076, 803314808, ( -1), 157669532, 374032928, 477096675, 96797534, ( -1), 824835039, ( -1), 540507615, 776415940, ( -1), ( -1), 287563498, 112146243, 513572091, ( -1), ( -1), ( -1), 440607316, 670569932, 957320197, 53028735, ( -1), 149865977, 146180687, 40416700, 386785284, 855800812, ( -1), 359262498, 608304165, 46447683, 675648582, 610005013, 408074889, 560168419, 96196398, ( -1), 290120484, 192739272, 147705966, 142063819, ( -1), 505238815, 943122283, 80064195, 354211185, ( -1), 183720925, 161447940, 700272432, 902155910, 155391723, ( -1), 661845533, 563189192, ( -1), 109309645, ( -1), 587683000, ( -1), 605874053, 903396156, 842479196, ( -1), 302189687, 445006317, ( -1), ( -1), 698698803, 232487083, ( -1), ( -1), ( -1), 52101444, ( -1), 726296197, 30879701, 884506453, 854595958, ( -1), 138378039, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 36781756, 943356991, ( -1), 271740281, 5077124, ( -1), 650164694, ( -1), 785820654, 159705873, 322317486, ( -1), ( -1), 548007987, ( -1), ( -1), 136650939, 561744141, 473593890, 245465307, 380178658, 415481283, ( -1), ( -1), 407869756, 814686159, 510658983, ( -1), 518758514, 641061800, 329094946, 789387591, 429704986, 658023209, 969965147, 363981755, ( -1), 902910856, 986107570, ( -1), 60407258, 605115114, 895067240, 414153641, 44702157, 793679869, ( -1), 528651231, 415972138, 655173366, 772536974, 319956342, 676899642, 786583453, ( -1), 277193585, 5933340, ( -1), ( -1), 862006609, 399890746, 972466806, 122265219, 374176038, 624794139, 305718666, 113675471, ( -1), ( -1), ( -1), ( -1), 905536506, ( -1), 142306414, 565332133, 23188915, ( -1), 632230175, 825862030, ( -1), 84721500, 977935007, 682783988, 403202358, 604906001, 979388880, 481892647, 436754097, 364906238, ( -1), 615750076, ( -1), ( -1), 660879632, 746565680, ( -1), ( -1), 47725529, 613038729, 47965217, 343489375, ( -1), ( -1), 768658684, 317044736, ( -1), ( -1), 562617074, 389803294, ( -1), ( -1), 888923544, 448210938, ( -1), ( -1), 745673335, 131681164, 692701493, ( -1), 529286981, ( -1), ( -1), 36265770, ( -1), 978988530, ( -1), ( -1), ( -1), 840048824, 900260800, ( -1), ( -1), 964569661, 458291382, ( -1), ( -1), 127609713, 380712141, 995787165, 692303656, 326963422, 121276079, 575896746, 234880755, 861497157, 432922669, ( -1), 33047915, ( -1), ( -1), ( -1), ( -1), 659883992, 353268409, ( -1), 846207060, 250338967, 56497594, ( -1), ( -1), 852908766, ( -1), 421331193, 420755852, ( -1), 536986356, 979327480, 189099173, 216451629, ( -1), ( -1), ( -1), ( -1), ( -1), 3154477, ( -1), 217865142, 395813806, 106052633, 860206817, 153708874, ( -1), 38503736, 696782194, 837477720, 910787379, ( -1), 917278106, 106968577, ( -1), 955520833, 839058345, 898772585, 448630700, 136718572, ( -1), ( -1), 293260742, 884139536, 926919594, 23214358, 715992129, ( -1), ( -1), 801143465, ( -1), 755346566, 4441894, ( -1), 751419380, 356847196, ( -1), ( -1), ( -1), ( -1), 97632356, 338113013, 329087330, 268535157, 391455755, 767270106, ( -1), 70085733, ( -1), ( -1), 596350896, 93291044, 303482056, 109261446, 989943026, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 498587568, 94790671, 275285954, ( -1), ( -1), 852703960, 22639774, 331361811, 205006604, ( -1), 630862454, 284205, 860183307, 469671054, 159882080, 776544756, 882609094, 499827942, ( -1), ( -1), 975481947, 578059440, ( -1), 940523246, 751495271, ( -1), 393913523, ( -1), 818408440, ( -1), 979194547, 244288567, ( -1), 256240529, 647181277, 935215657, 29965325, 158284939, 737635325, 657242828, ( -1), ( -1), ( -1), 332180632, 897435235, 583367724, ( -1), 19471217, 576815550, 406600361, 289200077, 486374560, ( -1), 96064050, 294720846, 573247163, 153045221, 578880761, 698868811, 158991038, 936787437, 715784150, 155501354, 355238100, 970973865, 232190439, 758083386, ( -1), 9336527, 432387386, 596102681, 377014629, ( -1), 895222587, ( -1), 285520455, 862635175, 353269267, 586839684, 431983827, 903910284, 848794624, ( -1), 478420170, ( -1), 214585580, ( -1), ( -1), ( -1), 646732949, 937514356, ( -1), ( -1), 428718620, 692047612, 62208382, 453831712, 801199207, 831639664, 965766021, 135754412, ( -1), 437457583, 114909511, 432100913, 221215951, 441089603, 17727138, 636353627, 432903476, ( -1), 770857814, 180145731, 504853986, ( -1), 686875712, 573786289, ( -1), 578845286, 313110844, 120414001, 450452106, ( -1), ( -1), ( -1), 785975449, 257050369, ( -1), 330889019, 689626228, 556870913, ( -1), 727715372, 555965067, 786182340, 902792701, 680551519, 619629467, ( -1), 300759201, ( -1), 608521932, ( -1), ( -1), 870670836, 277425835, 128778815, 820219633, 815391762, 453770095, 782111963, ( -1), 726596562, ( -1), 660376530, 729827666, 38500108, 689267007, ( -1), 51805328, ( -1), 539801878, 797403351, ( -1), 529964947, 317701631, ( -1), 265377344, 883387751, 629244828, ( -1), 306237481, ( -1), 366189205, 931465866, 85730836, 154171228, ( -1), 14801365, 69716772, ( -1), ( -1), 334964620, 717435618, ( -1), 927654534, 510030241, 861298378, ( -1), 472219509, 783692928, ( -1), 205548138, ( -1), 888819246, 195788865, 255105, 616890144, 248749023, 163170419, 151921670, ( -1), 965180261, ( -1), 825557228, ( -1), 657576575, ( -1), 665619355, ( -1), 42663422, 574960588, 570948374, 910326307, ( -1), 306602203, 442833239, 674858236, ( -1), 848274440, 762823490, 367085283, 522453330, 101906117, 379558554, ( -1), ( -1), 15383070, 852271375, ( -1), 480688090, 75622016, 746211766, 575193948, 677069355, 481569412, 573673696, 73849272, ( -1), 291310700, 920490938, ( -1), 780119674, ( -1), 837069117, 797284981, 763223605, 751038699, 667213752, ( -1), 915131600, 867947449, 559384447, 540622959, 773995755, 218686628, 416580866, ( -1), 52233613, 757113424, 832603147, 247862483, 732431695, 487662142, ( -1), 487780402, 557149461, 516148087, 678484573, ( -1), 325730771, 136204797, 722175642, 400479242, 333175170, ( -1), ( -1), 996773780, 613960440, 576671874, 108231349, 838860621, 918410305, 483279269, ( -1), 480727095, 888013931, ( -1), 99731886, ( -1), 205124943, ( -1), ( -1), 960749214, ( -1), ( -1), ( -1), 632926085, 597397991, 797410259, 863496610, ( -1), 385451721, 863766150, ( -1), 877160812, 412171766, ( -1), 480923082, 934303348, 233389424, 272212103, ( -1), 874604177, 967639857, 798188696, 774805183, ( -1), ( -1), 581435270, 688744935, 268587578, 34270700, 624948655, 816877099, 229238883, 195433218, 241562243, 390501778, 186379942, 180441964, ( -1), 831005896, ( -1), 768647932, 750870055, 492445892, ( -1), 337772438, 510544084, 14021164, 368130752, 357941128, ( -1), 964611556, 496334818, 589694751, 945153784, 503614144, ( -1), ( -1), 394898399, ( -1), 5289887, ( -1), 921584914, ( -1), 70779839, 567707826, ( -1), 756812816, 331586774, 109782719, ( -1), ( -1), ( -1), 780358147, 532760760, 626636402, ( -1), 487285921, 46032036, 120691761, 331943765, ( -1), 829391527, 864488972, ( -1), 465337203, 371543772, 461707040, 209458596, 445220124, 358145133, ( -1), 794912067, 866933638, 760496539, 495739931, 692605846, ( -1), 838247169, 542647113, 500084429, 270646934, 271114945, 502042619, ( -1), 878623130, ( -1), 23704434, 452286164, 337322054, 731653168, 727796374, 548831215, 203341652, 682406201, 203815469, 865849291, 949179936, 81041120, 622572699, ( -1), 882834732, ( -1), 71507541, ( -1), 745225220, 945027581, ( -1), ( -1), 371345188, ( -1), 677383239, 188128084, ( -1), 681642174, 196971369, 969019095, 679654075, 306011582, 583064827, 345426942, ( -1), ( -1), 21146864, 780244698, ( -1), 108808209, 457127134, ( -1), ( -1), ( -1), 397352105, ( -1), 867576712, 59330099, 951611740, 757057583, ( -1), ( -1), ( -1), 958760339, 112971005, 668712387, ( -1), ( -1), ( -1), 368627457, 965776205, ( -1), 218117789, 280836162, 487503900, 426268349, 380638974, 517672868, 884764049, 926457691, 894426432, 309015975, 768336076, 54866458, 921998598, 307702468, 861975425, ( -1), ( -1), 584446786, 862640499, 916116537, 867716815, ( -1), 894928153, 965478915, 578508906, ( -1), 697837025, 453233382, ( -1), 759227372, ( -1), 134542962, ( -1), 409258778, 27384339, 556910673, 321831577, 257965185, 353171086, 732361550, 197352583, ( -1), ( -1), 102556184, 165107416, 319120862, 646420680, 142678410, 225588702, 815186204, 13749634, ( -1), 579246875, 77207592, 93972839, 666505919, ( -1), 545681586, ( -1), ( -1), 32237576, 237114615, 218592812, ( -1), 797383820, ( -1), 35929744, 342950684, 334560086, ( -1), ( -1), 584772857, 389769622, 54657986, 279192370, 109491364, 953940943, 579829367, ( -1), 797076600, ( -1), ( -1), ( -1), 409210290, 986960628, 652049814, 442348503, 53528827, 954320424, 877672388, 206032614, 904270670, 851628201, 203572825, 599665738, 769790748, 973174477, 469582739, 204167892, 877070825, 443405830, 748973856, 802329672, 337394353, ( -1), 626267396, 208190450, 53232224, 362173040, ( -1), ( -1), ( -1), 765623945, 52607898, 682910290, 370376030, 844875135, 704656476, 933569744, 736854303, 914009449, 214575773, 612577845, 547748429, 559535577, 573127689, 673195899, 470846486, ( -1), ( -1), 192025424, 596831393, ( -1), 510251130, 154701422, 294064910, 590351235, 374518683, 598947122, ( -1), 74912156, 165442344, 391040731, ( -1), ( -1), 804732184, 729542856, 453768842, 313535749, 745379492, 216912982, 703031622, 824582522, 865247699, ( -1), 650867506, ( -1), 716851583, 710576045, 196326467, 812667463, 54995860, 843605586, 966917488, 507078109, 69393189, ( -1), 905985284, 348038240, 766460427, 186115429, ( -1), 798981647, ( -1), 334643695, 143641769, 880363600, ( -1), ( -1), 69846355, 768865088, 191857974, ( -1), 237669898, 534884800, 263528558, 454013808, ( -1), 420569748, ( -1), 543323196, ( -1), ( -1), 212878590, 564619119, 852114650, ( -1), 149630837, 120081731, 882993313, 649989708, ( -1), 673618265, 71697390, ( -1), 479736963, ( -1), ( -1), 473950109, 344335732, 327229586, 53710434, 876482562, 253249348, ( -1), 487967754, 770066037, 581321736, ( -1), 486266621, 793211743, 445976820, ( -1), 806758806, ( -1), ( -1), ( -1), 203934343, 764621763, 317325402, 923243731, 211595128, 548162279, ( -1), 705418736, ( -1), 632953234, 262580568, 555263435, 674259187, 299312429, 670124338, ( -1), 148572887, 36946694, 659886059, 259816163, 287749082, 740255719, 151393460, 973941962, 920574753, 551507317, 466681750, 317038657, 501202556, 816683657, ( -1), ( -1), ( -1), 32229931, 928021300, ( -1), 334106233, 29845978, 636392783, 326264566, 704162640, ( -1), 974481461, 630985996, 791338390, ( -1), 980928659, 320150932, 23298094, 745654810, 437728030, 821331148, 451065385, 185429268, 576028579, 189731227, 989065607, 513320199, 210975741, 821220288, 670197645, ( -1), 285726243, 154651403, ( -1), ( -1), ( -1), 100887899, 283260681, ( -1), ( -1), 762095827, ( -1), ( -1), 16973476, 621009826, 421113029, 738452906, 436102835, ( -1), 947537056, 464510337, 8389246, ( -1), ( -1), 427279778, 890318180, 709449988, 929654019, 572517360, 80883613, ( -1), 46018063, 928811554, ( -1), ( -1), ( -1), 150546403, 612058754, 838431181, 593803062, ( -1), 978752099, 302744319, ( -1), 25345487, 324514584, 359059611, 750781102, 531164858, 542442274, 549078707, 695434740, ( -1), ( -1), 514563254, ( -1), 488083563, 419119987, 775938333, 201054148, 824836273, 962080171, 983883477, 566557703, ( -1), 353055103, 548334357, 533599599, 307311491, 359893413, 158040757, 912155466, 264893969, 478515567, 979242700, 512427523, ( -1), 521312576, ( -1), 133846713, ( -1), ( -1), 620964594, ( -1), 361401150, 776150154, 139698134, 916133976, ( -1), 938684038, ( -1), 309395985, 43980582, ( -1), 653852079, 350187848, ( -1), 20218408, 435478546, ( -1), 942379844, 187769272, 249667670, 122323859, 298016715, ( -1), ( -1), ( -1), 281701660, 78131196, 44591870, ( -1), ( -1), 761404174, 665540519, ( -1), ( -1), 945753810, 767259653, ( -1), ( -1), 722162581, 948547986, 520546641, ( -1), 632013523, ( -1), 255373895, ( -1), 54574699, 670656292, 576136988, 434033665, 413910415, ( -1), ( -1), 178105170, 250738973, 171075892, ( -1), 305104681, 757552716, 696892066, ( -1), 229605311, ( -1), ( -1), 790039752, 909407621, ( -1), 372254318, 824632603, 777719419, 420876047, 202674548, 792016202, 633738417, 279398864, ( -1), 800766941, ( -1), 44659295, 127158088, 903301988, 729600580, ( -1), 908985533, 361288825, ( -1), ( -1), 220985279, 962596574, 302377659, 460403718, 450027394, ( -1), ( -1), 911871734, ( -1), ( -1), ( -1), ( -1), 756115135, 655932446, ( -1), 237764856, 804041797, 61792483, 290572558, 852229335, 681535970, 826344567, ( -1), ( -1), ( -1), 60129489, 30189816, 556763933, 36944146, ( -1), ( -1), 134197236, ( -1), ( -1), 888523719, ( -1), ( -1), 628039776, 591450220, 380634126, 308896722, 438942502, ( -1), 466779483, 682471266, ( -1), 844659925, ( -1), 615549090, 408617697, ( -1), 316789741, ( -1), 895561680, 763312384, 863941022, 425801478, ( -1), 439092229, ( -1), 431346174, ( -1), ( -1), 439179512, 629588366, 856322605, 338068641, 608873808, 149855059, 472752845, 946436030, 885111644, ( -1), 158781633, 296514608, 725114025, 503002092, ( -1), ( -1), 510148105, 140703048, 157523276, 303439487, ( -1), 196691405, 190531364, ( -1), 78728852, 356461032, 64737298, 774551983, ( -1), ( -1), 612773669, 456080244, ( -1), 129885738, 664810956, 786256039, ( -1), 729042622, 141548825, 247926474, ( -1), 221137635, 618862054, 699381037, 535161598, ( -1), 491374268, ( -1), ( -1), ( -1), 634901547, 126825268, 249304084, 583276494, 130294940, 933438343, 811948964, 812098158, 77751207, 435885948, 162068812, ( -1), ( -1), 56082761, ( -1), 312281353, 586589531, ( -1), 15868452, ( -1), 266785729, 61584003, 78735327, ( -1), ( -1), ( -1), 671078118, 287590464, 764647804, 41969414, 516456777, 853750675, 486844789, 124065677, 771583855, 829191356, ( -1), 279224346, 560697613, 403600025, 2831622, 103330583, 693694868, ( -1), 451334844, 292721568, 854918744, 684865703, 124237860, ( -1), 563809290, 132685821, 186862071, ( -1), 134013445, 157076341, 696014922, ( -1), 887645508, 892478266, ( -1), ( -1), 691083857, ( -1), 489938397, 755659840, 74713894, 269400240, 560974350, ( -1), ( -1), ( -1), 109943398, ( -1), 631893878, ( -1), 420569556, 568596918, 329901018, 252220819, 893085793, 449390766, 340887948, ( -1), 821719932, 661321937, ( -1), 312792156, 928465674, 646903956, 760711274, 671872015, ( -1), 980678173, 697256330, ( -1), ( -1), ( -1), ( -1), 985738995, 393250154, 179552886, ( -1), 480408820, 74515608, ( -1), 453933881, ( -1), 564279977, ( -1), 329272978, 454004847, ( -1), ( -1), 835335862, ( -1), ( -1), 458783755, 184062811, 426163548, 824135116, 769926872, 799668164, 392875426, 444372321, ( -1), ( -1), 95965931, 710760976, 593809563, ( -1), ( -1), 405549743, 580911368, 590089902, ( -1), ( -1), 993352574, ( -1), 560858265, 925015026, ( -1), ( -1), ( -1), 23123379, 679382292, 695343587, 957891128, ( -1), 691534676, 652110360, 347882094, ( -1), ( -1), ( -1), 123204688, 277776855, 942896461, 685715134, ( -1), 370774588, 858108351, ( -1), 33057547, ( -1), 526055172, ( -1), 83289107, 574983748, 995760147, 621624854, 317866317, 710226579, 821170635, ( -1), ( -1), 518638958, 449416943, 15135544, 359826231, ( -1), 915494124, ( -1), 902805944, 996132378, 607538082, 634839898, 320432773, ( -1), 573759965, 919773735, ( -1), 239108898, 932884034, 102146283, 967434452, 267663992, ( -1), 658341486, ( -1), ( -1), 843103039, 102198827, ( -1), 627824740, 638146487, 502994033, 169754845, 41822469, ( -1), ( -1), 153021360, 977678696, 145951675, 142221339, 657918510, 489599324, 728472331, 429209662, ( -1), 114875211, ( -1), ( -1), 175739842, ( -1), 346408495, ( -1), ( -1), 385500473, ( -1), 952538423, ( -1), 21487404, ( -1), ( -1), ( -1), 179757602, ( -1), 457161473, 952801463, ( -1), ( -1), 429591079, 882993094, 94753828, 739269136, 780815285, ( -1), 223991356, 161743126, ( -1), 595504145, ( -1), ( -1), 595918153, 450628394, 513597991, 343876199, 645669492, ( -1), 202331995, 900187224, ( -1), 224693238, 711528861, 241222533, ( -1), 148847923, 624121230, 889318861, 702148011, 653860447, 476247132, 251247125, 879955847, ( -1), 813295559, 59774481, 874255337, ( -1), 443931318, 1806465, 470583912, ( -1), 41423009, ( -1), ( -1), 453366241, ( -1), 417123427, ( -1), 103565273, 357220571, ( -1), ( -1), 45764951, 968878455, ( -1), 67992655, 215869634, 68966060, 470658471, ( -1), 517074605, ( -1), 14996217, 806541878, ( -1), 737827099, 862681381, 75893662, 461491409, 650394955, 588866530, 659269029, ( -1), 59455949, ( -1), ( -1), ( -1), 432946109, 801780952, 686985833, ( -1), ( -1), 620254880, ( -1), ( -1), 353460677, 258515691, 515690453, 579309608, 814110262, 167077293, 58360441, ( -1), ( -1), 438243106, 251654037, 904717114, 607562152, 847297202, 197619036, ( -1), 5424954, 800826150, 883566211, ( -1), ( -1), ( -1), 174153487, 547882853, ( -1), 904906727, 464900695, 362357529, 756853807, 634826190, 890524234, 395295361, 738493271, ( -1), ( -1), 93935179, ( -1), 566945886, ( -1), 652542580, 538732944, 709631617, 805690401, 638182673, 990728466, 265198668, ( -1), ( -1), 126290843, 118065155, 200943927, 706824133, 439903112, ( -1), ( -1), ( -1), 652483198, 938067138, ( -1), 278104108, ( -1), ( -1), 488712569, ( -1), 779722055, 622088702, ( -1), 987064924, ( -1), 750095269, 914486662, ( -1), 494807726, ( -1), ( -1), ( -1), 898821501, 354440627, 126363756, ( -1), 703470007, 993742121, 85967389, ( -1), 382170148, 856234884, ( -1), 792550796, ( -1), 714904181, 428240315, 146035580, ( -1), 951355042, 542445149, 810948981, ( -1), ( -1), 946963426, ( -1), 437722528, 242615603, 316867010, 74502751, ( -1), 794277288, 882363213, 387264487, ( -1), 959868265, 61745496, 346653804, 90807540, 999745141, 970564309, ( -1), 570159805, 270255107, 879727189, 136313101, 474112343, 399493681, ( -1), 258530193, ( -1), 750328903, 960086105, 844303304, 388911584, 766795036, ( -1), 800029705, 186898734, 654666247, ( -1), 228440087, 341866390, 36856650, 772033761, 57708380, ( -1), ( -1), 149775728, ( -1), 379799732, 283270182, 670535589, ( -1), ( -1), 55752195, 353503934, 941018369, 58323878, 788355360, 39348712, ( -1), 791119232, 372463471, 643154777, ( -1), ( -1), ( -1), 925122006, 629613084, ( -1), 731922781, 340099955, 142729295, ( -1), 262073610, ( -1), 182828961, ( -1), 639791521, 586800909, 651799182, 43908290, 275140243, 770697066, 61870200, ( -1), 799388458, 622502935, 17556678, ( -1), 643059674, 641249336, ( -1), 516768269, 10818368, 968094976, 241376103, 515827211, 796571551, 273268828, 154417647, 316595854, ( -1), 81207183, 101591015, 756392421, 430952274, ( -1), ( -1), ( -1), 693546188, 16457240, 24065581, 550850810, ( -1), 972250055, ( -1), 349610015, 395592889, ( -1), ( -1), 318561226, 150325054, 787709538, 640865904, ( -1), ( -1), 43643410, 3723111, 707570996, ( -1), 557861335, 237987908, ( -1), 910065893, 210623287, 730303511, 689087912, 752308987, 854409092, 434670538, 714486196, ( -1), 582188672, 472845210, 852234436, 35533081, 411511453, 63012414, 499028438, 257269083, ( -1), ( -1), ( -1), 241018695, 799049232, 691193026, 760511030, 827561707, ( -1), 867477498, 406258729, ( -1), 720899618, 301494290, 962459812, 294137282, 511415806, 65152990, 839167038, 310402037, 63339594, ( -1), 340670845, 101974487, 718605283, 584596915, 480400389, 505970738, 78327056, 995802234, ( -1), 408478413, ( -1), 120161703, 692187601, 986665268, 13145824, ( -1), ( -1), 219828405, 679975145, ( -1), 248073442, 976261928, 577011333, 737520882, 323599537, ( -1), ( -1), 180873941, ( -1), 78478265, 809165690, ( -1), 622739190, 801431834, ( -1), ( -1), 224149524, 199078793, ( -1), ( -1), ( -1), ( -1), 662699605, 593457984, ( -1), 75529415, 270770625, 922756958, 31627777, 637241945, 927480825, 152709471, 738154384, ( -1), 459108239, 884215748, 951285613, 325657947, 395615657, ( -1), 919411065, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 276662185, ( -1), ( -1), 500494410, 91345537, ( -1), ( -1), 275116383, 910737943, ( -1), 739530242, ( -1), 464665127, 423447422, ( -1), ( -1), ( -1), 859978327, 470674249, 833868702, ( -1), 72325181, 786485262, 942970687, ( -1), 342071587, 669771025, 959341353, 631944873, ( -1), 129596401, 903372248, 95370583, 212940535, ( -1), 775887530, 568549034, 697040821, 992677882, 196481494, 525275870, ( -1), 13854840, 386471787, 22761704, 165290588, 790185818, 439824844, 81326377, ( -1), 853213766, 584045694, 600758888, 879885325, 611542801, 232504196, 407128397, ( -1), 404566653, 890245521, 852795007, ( -1), 486857268, 305989491, ( -1), ( -1), 221171850, 499887172, 131309956, 13359717, 962395199, 732968030, 448586028, 772439436, 921580906, 65179225, 678064273, ( -1), 613317140, 810476606, ( -1), 24166904, ( -1), 495904520, ( -1), 659170228, 498609226, 792996431, ( -1), 163667735, 284801751, ( -1), ( -1), 189586888, 821733632, 298786098, 550814712, 541861136, 159466230, 700499306, 665478031, ( -1), ( -1), 531956306, 230344983, 480955070, 5744384, 978679846, ( -1), 687865540, 401162813, 601048827, ( -1), 516016337, 562499403, 530326384, 23067509, 406885567, 185610115, 79125465, ( -1), 227943171, ( -1), 4492445, 724886385, 462289410, ( -1), 541559333, 452444197, 48238701, ( -1), ( -1), ( -1), 242862655, 243214350, ( -1), 372075339, 333169990, 226167377, 223858022, ( -1), 209298564, 441879963, 793810393, ( -1), 301832661, ( -1), 880251387, 798422975, 460199889, ( -1), 471864731, 102863930, 943915665, 882859199, 929865478, 676514669, ( -1), 838515426, 310306214, 433072414, ( -1), 259706068, 898876352, 21579354, ( -1), ( -1), 254323828, 270467380, ( -1), 535006277, ( -1), ( -1), 206999691, 998081781, ( -1), 278747084, 310980537, 682753010, 143059285, 478636243, 137159761, 527765624, 236364954, ( -1), ( -1), ( -1), 665347793, 416488320, 671493500, 176220314, 79472015, ( -1), 673171256, ( -1), ( -1), ( -1), 32487390, 520556935, ( -1), 39455928, 134087760, ( -1), ( -1), 120092611, 982793738, 139953974, ( -1), 994189934, 356795157, ( -1), ( -1), 603273450, 781266547, 194460408, 124004042, 446639829, ( -1), ( -1), ( -1), ( -1), ( -1), 795902771, ( -1), 37425822, ( -1), ( -1), 783704600, ( -1), 286088305, 275716570, 497504939, 335787473, ( -1), 853956439, ( -1), 802737154, ( -1), 996193240, ( -1), ( -1), 241089746, 234737208, 951362825, 76901791, 547300606, 164184340, 417425840, 485607711, 507507364, 360257011, 301138033, ( -1), ( -1), 137632902, 520590098, 27669629, ( -1), ( -1), 807463721, ( -1), ( -1), 1067390, 525767856, 476831316, 423742456, ( -1), ( -1), 691762836, ( -1), 623737238, ( -1), 604502484, 554184826, ( -1), ( -1), 46515352, ( -1), 32072949, 830541507, 56794644, 497362008, 174970550, ( -1), 602368481, 935239676, 318775688, 890671276, ( -1), 324645778, 904995729, 895838853, 409672161, 107397965, 624471040, 183677659, ( -1), ( -1), 43746041, 87190995, ( -1), 127464255, 80573910, 606914781, 760034537, ( -1), 795012265, 173544296, ( -1), 91641613, 357700805, ( -1), 431793600, 320914396, 551987217, 218515513, ( -1), 712334203, 906022322, 536275867, 186468614, 119140438, 507572665, 470419919, ( -1), ( -1), 781852513, 906179195, 110522043, 401006, 519359939, ( -1), ( -1), 564746743, ( -1), ( -1), ( -1), 908210510, 459976926, 677974263, 590659017, ( -1), ( -1), 324483150, 914685609, ( -1), 298935210, 810211887, ( -1), 944033496, 567000002, 39491850, 316189082, 649886808, 838452048, 401384263, 278850929, 482821586, ( -1), 711909498, 576409890, ( -1), 858258758, 71788091, 753605274, 569232061, 923776803, ( -1), 571405964, ( -1), ( -1), 691505594, 860313079, 734193542, ( -1), ( -1), ( -1), 759669718, ( -1), 537167869, ( -1), ( -1), ( -1), 729639413, 45681047, 759514618, 320543607, ( -1), 732917377, ( -1), 866201554, 266221408, 512311583, 445054948, 929823781, 301888596, 638542804, 20420448, 203528406, 367046447, 47947432, 456699006, 956900713, ( -1), 498672279, 210789737, 454994169, ( -1), ( -1), 234950589, 17308889, ( -1), 985529651, ( -1), ( -1), 242266031, 193019682, ( -1), 226591804, 248567537, 480582467, 107258008, ( -1), 282869449, 131028476, 897903112, ( -1), ( -1), ( -1), 332653469, ( -1), ( -1), 486531852, 643238893, 21707750, ( -1), 474038227, 622712572, 498724148, 817755410, 928523654, 397354560, ( -1), 905420351, 885807497, 617508995, 636483849, ( -1), ( -1), ( -1), ( -1), ( -1), 802196593, 850096391, 518353283, ( -1), 26821678, 583928984, 104227583, 731312342, 829876565, ( -1), ( -1), 560221305, 650776376, 155187740, 850619780, 585784985, 324343299, 374574377, ( -1), 282296768, 424511346, 857041941, 571454583, 912339669, 135953566, 357199568, 194020223, 375067091, ( -1), ( -1), ( -1), 88905238, 266639344, 840688597, 498860228, 996192386, 876870530, ( -1), ( -1), 798021892, 6187366, 550631960, 388367611, 693074616, 202024263, 766648497, ( -1), ( -1), ( -1), 519644461, 319192645, ( -1), 470075883, 306005667, 287891130, 700416247, ( -1), ( -1), 103945850, 203457654, 578295610, 213703051, 891829226, ( -1), 378902708, 851042388, 197611932, 271400811, ( -1), 298502142, ( -1), 305722771, 80748908, ( -1), 720764490, 133841564, 745615629, ( -1), 233796490, 651150221, 566622677, 237519847, 473740037, ( -1), 648128532, ( -1), 293314613, ( -1), ( -1), ( -1), 492643924, 368988686, 259130960, 507408476, 767849481, 688930691, 193644470, 875453621, 667230243, 695980919, ( -1), ( -1), ( -1), ( -1), 866359738, 359498502, 460269194, 812764357, 982190773, ( -1), 628252110, 735176545, 729042539, ( -1), 644407505, 677168990, 797469843, ( -1), 731751940, 90373896, 500801465, ( -1), ( -1), 667618818, ( -1), 616461353, 235315548, 709218106, ( -1), 474761291, 447440427, 482561388, ( -1), ( -1), ( -1), 162002172, 784134060, 420075634, ( -1), ( -1), 8949181, 911143887, ( -1), ( -1), 443228431, 591014426, 522748694, 706749666, 144114763, 730846217, ( -1), 163745472, ( -1), 956524628, 575369735, ( -1), 182093278, ( -1), ( -1), 668126805, ( -1), 358807122, 541406394, 210486743, 434629852, 637325429, 773924007, 315389117, ( -1), 935903942, 450608094, 545996265, ( -1), 398855662, 699592694, 199288984, ( -1), 640866671, 514982584, 338697734, 93976462, ( -1), ( -1), 865785384, ( -1), ( -1), 482336348, 564904726, 662770318, 192521239, 488205737, 339014753, 670590366, 977416226, 228527278, ( -1), 232309325, 211143497, 78930563, ( -1), 101355944, ( -1), 171214050, 410785130, 318508173, ( -1), 554696057, ( -1), 619524730, 412487410, ( -1), 547849791, 477283333, 524585069, 211471044, 324761306, 896723035, ( -1), 535305134, 15416866, 147368747, 839179430, 394418959, 284431337, 265479049, 659807761, 28859747, 675025714, 189103031, 968755481, 659894124, ( -1), 919670930, ( -1), ( -1), 607547317, ( -1), ( -1), 567199788, 85310999, 171189304, 732914648, 439046230, ( -1), 308212566, 564651803, 673274807, ( -1), 419409294, 495054408, 623895813, ( -1), 904243327, ( -1), 423721951, 591218119, 660551895, ( -1), 371064431, 29747839, 309489408, 768405889, 748519940, 496012698, ( -1), 421448994, ( -1), 64389247, ( -1), 4561885, 81390687, 971259011, 682609707, 121836281, 179973693, 757535595, 715649722, ( -1), 912640130, 330695309, 354823830, ( -1), 99337730, ( -1), 322875745, ( -1), ( -1), 187210245, 604460869, 513601035, 223098239, 632932386, 836102997, 484124369, 138845501, ( -1), 612661602, 486421875, 388555726, 427298530, 787356072, 417675401, ( -1), 36433474, 52356991, 758896334, 845744482, 662800149, ( -1), 965637765, ( -1), 136435998, ( -1), ( -1), 730231768, 635779267, 871642602, 847782757, ( -1), ( -1), 246282404, 97971371, 940388661, 942622474, 441558971, 97722185, 252819621, 671016597, 924994401, ( -1), 955004983, 374721129, ( -1), 57773764, 22968383, ( -1), 632121760, ( -1), 348766895, 764139215, 233044131, ( -1), ( -1), 211927691, 303984487, 478967793, 42948921, 243891871, ( -1), 836067814, ( -1), 746217359, 361826505, 111606782, 509755788, 106579722, 219320931, 802489534, ( -1), ( -1), 50092938, 698642293, 11149280, 155603092, 719051646, 942574602, 148694622, ( -1), ( -1), 187409411, 208489465, ( -1), 21183360, ( -1), ( -1), 254452021, 660065726, 610215573, 392943548, ( -1), 538997963, 236255502, ( -1), ( -1), 538858443, ( -1), 833131990, 800217476, 913721795, 777905389, 485482818, 531826955, 505438088, 756567389, 298127351, 601926886, 451093481, ( -1), 484502011, 344124503, 403521227, ( -1), 807858995, 53345445, 713122628, ( -1), 759312095, ( -1), 152583210, 81272776, 990540470, 563324786, 625400583, 728566228, 417748878, ( -1), 342635547, 470716496, 148807487, 426537418, ( -1), 348430356, 759148435, 999829327, 5129879, 295572830, 873390500, 550246859, 425029937, 512828043, 545922117, 261701242, 290444472, ( -1), 688328142, ( -1), 204722396, ( -1), ( -1), ( -1), 340333486, ( -1), 739983175, ( -1), 744599670, 387868417, ( -1), 363945650, 148074351, 838721338, 670831893, ( -1), 56141303, 17216983, 625155622, ( -1), 241889450, 807614520, ( -1), 319826308, 39503270, ( -1), 429453297, 617910503, 65570084, 222363116, 832896043, ( -1), ( -1), 212215734, 881820807, 247548258, ( -1), ( -1), 370729367, 485756395, ( -1), 39554057, ( -1), 686351972, 70310645, 859226668, 34007727, ( -1), 706247293, ( -1), ( -1), 108009957, 795919435, ( -1), 46867955, 656358044, 47683565, 158528404, 157900903, ( -1), ( -1), 671273451, ( -1), ( -1), ( -1), 129148836, 409035546, ( -1), 773257431, 341144408, ( -1), 969641711, ( -1), 239894664, 526589333, ( -1), ( -1), 109456730, 311324805, 536835039, ( -1), ( -1), 128152586, 106003089, 826959776, 59580197, 317883230, 320299221, 938740696, 5513602, 1903517, ( -1), 662980445, ( -1), ( -1), ( -1), 415777663, 305076961, 588865849, 909114416, 830202429, 282417898, 263422374, ( -1), ( -1), ( -1), 505718840, ( -1), 274442147, ( -1), 332922501, ( -1), ( -1), 111588990, ( -1), 591445835, 729089420, ( -1), 705205302, 855189983, 83612539, ( -1), 178499918, ( -1), 494093339, ( -1), 321196812, 618625103, 596785175, 472830498, 655320564, ( -1), 704156382, 659669464, ( -1), 303969414, 83569640, ( -1), ( -1), 371912443, 8328369, ( -1), ( -1), ( -1), 731430688, 505836896, 87504383, 265623703, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 387114611, 298949260, 992047452, 341060095, 68436589, 966362093, ( -1), 282583765, 806975810, 454103462, ( -1), 272281204, 466948617, 453565691, 650858851, 969599362, 690366284, ( -1), ( -1), 270188814, 563609688, 305087177, ( -1), 664210193, ( -1), 883047143, ( -1), ( -1), 851771518, 207822119, 195999252, 384030007, ( -1), 173377020, 769308204, 630278915, ( -1), ( -1), 842885116, 690633449, 408200555, ( -1), 481443286, 726808054, 433740523, ( -1), 336178095, 639685373, 369390427, 600930901, 283498599, ( -1), 168874248, 844983047, 18852769, 67931136, 655909269, ( -1), 785633028, 371267158, 505157584, 774629560, 313411436, 373175333, 871290572, 886955058, 807246308, 16858977, 822163328, ( -1), ( -1), 64499147, ( -1), ( -1), ( -1), 894968056, ( -1), ( -1), ( -1), 205767841, 930223408, 219418073, 791706137, ( -1), ( -1), 120617130, ( -1), 473793533, ( -1), 135517423, 216530006, 76979161, 988931519, 873937002, ( -1), 738075275, 37267146, 389675983, ( -1), ( -1), 384571639, 641582190, 707147419, ( -1), 350783314, 295425027, ( -1), ( -1), 699253861, 224693304, ( -1), 389151154, ( -1), 157591875, ( -1), 516072743, 120717240, ( -1), 902212175, 999662480, 86459063, 356431699, 583054383, 205080388, ( -1), ( -1), 167047273, 381579094, 952745425, 519618446, 876487094, ( -1), ( -1), 564061691, 120708411, 377073665, 218760221, 943012660, 563456310, 388826401, 719031857, 751886403, 767498494, ( -1), 851030288, 58471842, 448003245, ( -1), 151773075, 385233901, 714837484, 48109465, ( -1), 670291065, 105386983, ( -1), 734738145, 37925396, 303353407, ( -1), ( -1), 639488350, ( -1), 534905652, 487223523, 555383830, 596940127, 52191530, 429545212, ( -1), ( -1), 217880990, 942633716, 555162430, ( -1), 519997599, 798486301, 550344281, ( -1), ( -1), ( -1), ( -1), 201873047, 19272770, ( -1), 477994092, 175193066, ( -1), 188641166, ( -1), 490182585, 347341729, ( -1), 468981830, ( -1), 991227653, ( -1), 574265109, 441048715, 694121481, 350727126, 794217844, ( -1), 270731119, 314371850, 123128783, ( -1), 696937162, 614554044, 868986837, 431623559, ( -1), ( -1), ( -1), ( -1), 985132208, 290524064, ( -1), ( -1), 180611052, 238027749, 237312518, 985629829, 51350988, 619406334, 83057884, 195416728, 536892761, 150544551, 648864421, 992453892, 695573401, 597110803, 785431919, 620682934, ( -1), 407356677, ( -1), 960073394, 285907687, 724858828, 497624822, 810711483, 522330369, ( -1), 853499834, 980395178, 546857203, 734654796, 169957734, 930577358, ( -1), ( -1), 700835034, ( -1), ( -1), ( -1), 572281709, 12114577, 386188702, 784782285, ( -1), 284231694, 471088310, ( -1), ( -1), ( -1), 651087192, 727967299, 85709466, 945369700, 315852572, 511331192, 35468631, ( -1), 17690178, 526324780, 496574736, 206378071, ( -1), 884550385, 916279429, 540584680, ( -1), 649516805, 974643263, 250627704, 373425137, 397840838, 627244491, 258379686, 132675996, 226237021, ( -1), 367631496, 178861128, 735331506, 197631858, 102114581, 345043841, 960872432, ( -1), 592068436, 607396352, 168029059, 152750327, 538084267, ( -1), 808277084, ( -1), 534698971, 741133623, 31564835, 43985803, ( -1), 142147800, ( -1), ( -1), 685854896, 771425808, 120411254, ( -1), 291728337, ( -1), 918682205, 220777904, 336393387, 732890121, ( -1), ( -1), ( -1), 314090091, 229843112, 322449552, 458981967, 520875391, 551801844, 860141908, 36762477, 172735484, 785992840, ( -1), 325347568, ( -1), ( -1), 404650672, 53632591, ( -1), 723453163, ( -1), ( -1), 369458208, 241075081, ( -1), 330655795, ( -1), 977123676, 314849427, ( -1), 62447254, 815841242, 134503315, 405116751, 842167889, 278617777, 584019694, ( -1), ( -1), ( -1), 202064903, 303130847, 268325520, 354667247, 439197507, ( -1), 975573315, 89229781, 684091039, 168100534, 169503693, 532423332, 489667763, 872809888, ( -1), 709897721, 145186901, 253159925, 827926370, ( -1), ( -1), 811071446, ( -1), 82523223, ( -1), 351791320, 246268144, 307004630, 256820502, ( -1), 12622709, 714410565, ( -1), ( -1), 295263232, 880591802, 618349198, 414536959, ( -1), ( -1), 1702316, ( -1), 435246257, ( -1), 330217333, 43694268, ( -1), ( -1), 135164540, 719439085, ( -1), 567809082, 317967368, 626099379, 968515090, 724709638, 389162381, 600920886, 470948962, 333390964, ( -1), 481719716, ( -1), ( -1), 896736455, 831926865, 639352481, 992732875, ( -1), 829621699, ( -1), 951188171, ( -1), 628993103, ( -1), 266294473, ( -1), ( -1), 565797211, 339360424, ( -1), 623159343, 365777815, 83885086, 157989791, ( -1), 988512938, 576922567, 292485421, ( -1), ( -1), 712236642, 34283088, 961358347, 948402665, ( -1), ( -1), 160671985, 711721828, 86653288, 939037658, ( -1), ( -1), ( -1), ( -1), 957438766, 537174837, ( -1), 585180953, 294531062, 628738587, 805458126, ( -1), 716061445, 544242982, 503905467, 920471197, 782247169, ( -1), ( -1), 440759385, ( -1), 289064574, 998440482, 886462396, 323574546, 55694486, 640562348, ( -1), ( -1), 963150990, 136110905, 636354153, 88455334, ( -1), 125653737, 560710736, 399257655, 25900834, 844507623, ( -1), 3652555, 593285212, 126799909, ( -1), 764009111, 798380433, 419701503, 682864391, 840166383, 6181006, 285504417, ( -1), 332910391, ( -1), 289806635, 506461485, 804492138, 405436561, 306012930, ( -1), 324735874, ( -1), 770149645, ( -1), ( -1), ( -1), 83234946, ( -1), 493707205, 985059489, 247763509, 706765166, 424656398, 556532568, 219166532, 134279358, ( -1), 115709762, 635023067, 22230137, 156920636, 815807669, 240799369, ( -1), 370819600, ( -1), 27917347, 626678195, ( -1), ( -1), 996439910, ( -1), 542022868, ( -1), ( -1), 845810312, 992865717, ( -1), 746079386, 699464250, ( -1), 387225431, 331718115, ( -1), 184538101, 701435530, 572588301, 485404520, 737911319, 579975760, 799813818, 977933409, ( -1), 661499950, 472636885, 876714846, 782313982, ( -1), 96694576, 269822573, 407622107, 490302807, 875843090, 454987983, 537111289, 244799038, 87356474, 844990037, ( -1), 23933488, 985442513, 546726825, 337665949, 975818031, 902270532, 689480248, 26657426, ( -1), 748246331, 123060077, ( -1), 590718435, 168189160, 718435050, ( -1), 474078972, ( -1), 829361909, 38455096, ( -1), 121705474, 560634552, 56538853, 285227583, 838453085, ( -1), ( -1), 945847257, 63986741, ( -1), 177028887, 536698048, 42169341, 347250415, 883817683, ( -1), ( -1), ( -1), 784699839, 51392798, 971735857, ( -1), 839803297, 478541338, 346430882, 713215416, 440800273, 390120769, 203049188, 27966567, 41689255, 129335637, 810218099, ( -1), 290047259, ( -1), 635871919, 156536246, 712999619, 361964181, 897665131, ( -1), 461246597, ( -1), 430796686, 83945280, ( -1), 999526263, 47506996, 138439779, 31504357, 422906762, 233084651, 883137237, 882155204, 894825730, 934970665, 873092790, 825669922, 568587365, ( -1), 784397945, 501842463, 212079244, 12216914, ( -1), 222266896, 154605146, 421033446, 456576905, ( -1), 514207176, ( -1), 850834779, 666804778, 300441209, ( -1), ( -1), ( -1), 945116060, 495546070, 355438851, ( -1), 693206609, 848664564, 872908214, ( -1), 651250109, 644954949, 916783107, ( -1), 210331275, 556190593, 996354628, ( -1), ( -1), 437395776, 233748382, ( -1), ( -1), 876482933, ( -1), 12495643, ( -1), 244111066, 993170964, 642442697, 320018697, 159740220, 199917307, ( -1), 683599896, ( -1), 898253202, ( -1), 660461797, ( -1), 304238264, 495554466, ( -1), 630227114, 313453957, 578137604, ( -1), 600233578, ( -1), ( -1), ( -1), ( -1), 583732988, 448485814, 789700006, 36055532, 275732888, 589678110, ( -1), 221668810, ( -1), ( -1), 14609060, 203670721, ( -1), 622239583, 826902021, ( -1), 521236627, 725146842, 180856078, 472406135, 421960689, ( -1), 104867585, ( -1), 925125876, 526342088, 737659854, 518353725, 353623744, ( -1), ( -1), 900114806, 546679986, 709071251, 46902647, 711251500, 584258845, 845418222, 295896180, ( -1), 635868098, 719421028, 952262608, ( -1), ( -1), ( -1), 590312025, 566485678, ( -1), 366698879, ( -1), 421464100, ( -1), 828397931, 820408198, ( -1), 701009785, 717767596, 654789102, 941539947, 160572488, ( -1), 992062477, 835236792, 487002208, 143167209, 713845928, 672337122, 326742639, ( -1), 116564543, ( -1), ( -1), ( -1), 37714591, ( -1), ( -1), 409281050, ( -1), ( -1), 718484775, 841315542, 63117149, ( -1), 389918104, ( -1), 341407215, 428564786, 954942762, ( -1), ( -1), 412821238, 542360834, ( -1), 884991300, 23126101, ( -1), 628085974, ( -1), 610244032, 539531073, 605695901, 234382846, ( -1), 471107284, 128620033, 255917261, 523214767, 875794784, 571073668, 864667762, 27355833, 337426910, 278073951, 397578890, 255195294, 446469646, 338294262, 702987945, 388260008, ( -1), ( -1), 983635777, 986904858, ( -1), 588393337, 841084487, ( -1), 579025520, ( -1), 63067022, 61316945, 423144341, 88049822, 4174618, ( -1), 180410266, ( -1), 906895010, 307015779, ( -1), 479670836, ( -1), 765384876, 937712593, 467811643, ( -1), 13856184, 723418985, ( -1), 897650652, 735211679, 184728859, ( -1), ( -1), ( -1), 941934829, 643561737, ( -1), 767582673, ( -1), 101010764, 473370167, 935021649, 11143725, 997073179, ( -1), 280451678, 899567693, ( -1), ( -1), 142455404, 198974374, 262630382, 770337364, 266890190, ( -1), ( -1), ( -1), ( -1), 300775878, ( -1), ( -1), 145076065, 420560803, ( -1), ( -1), ( -1), 783830528, 872402217, ( -1), ( -1), 596022030, 406832314, 9250330, 28105521, 87681165, 642785009, 520524526, ( -1), 743010660, 416148785, ( -1), 323908259, ( -1), 162415910, 677745557, 491322022, 115090637, 893376992, 566874710, 355005514, 667361690, 431085041, 719613594, 409043766, 512598665, 714612511, 579976409, 420010145, ( -1), 291079142, ( -1), 390360494, 394429047, ( -1), ( -1), 805085006, 502722934, 182027152, ( -1), ( -1), ( -1), 412316393, 308451695, 986127385, 925139191, 744762193, 110292152, ( -1), ( -1), 850745151, 565448688, 99343592, ( -1), 910005955, 109924361, 620107386, 267113236, 38700333, 532108631, 850234736, ( -1), 225359365, ( -1), 526766115, 150818519, ( -1), ( -1), 115044393, 951944110, 988008817, 702323746, 510205319, ( -1), 948167110, 876072933, ( -1), 130949938, 599887022, 437614899, 744315390, 667301788, 217495919, 9527855, ( -1), ( -1), ( -1), 465639262, ( -1), ( -1), ( -1), ( -1), 809885916, 700173188, ( -1), 545915083, ( -1), ( -1), ( -1), 488405773, 26929401, 27685395, 220422866, 529248703, 743008340, ( -1), 88365410, 395741763, 689281314, ( -1), 653539249, ( -1), 96160079, 463593509, 171743248, 754664046, 958501315, ( -1), 499519021, 821316344, 422123322, 693491161, 395285300, 175269505, 754331184, ( -1), 796018575, ( -1), 43564843, 169884603, ( -1), ( -1), 283603076, ( -1), 617407973, ( -1), ( -1), 671636013, 621064513, 143654688, 840028562, 940043199, 479119330, ( -1), 587393903, 300985895, ( -1), 704932406, 561120712, ( -1), ( -1), 244279443, ( -1), 93515340, 625927164, ( -1), 663970683, 762932423, 762701759, 488014268, 790691593, 77342952, 289241702, ( -1), ( -1), 955953787, 870155929, 518076648, ( -1), 414087806, 679409111, 346308082, 923471530, 716729349, ( -1), ( -1), 779756280, 81942804, 244736161, 991802168, 168382303, 508748879, 943255861, 944667305, 996507534, ( -1), ( -1), 528296086, ( -1), 237631855, 547849035, 312317504, 78889166, 995792720, 511425388, 218366867, 514389790, 658338888, ( -1), 74436130, 439337031, 497837333, ( -1), 946339167, 606377813, 78782882, ( -1), 470632054, 355660928, 289220673, 46790815, 891343157, ( -1), 376050295, ( -1), ( -1), 345205322, 990689768, 475282189, 53927493, 502712570, 20071027, ( -1), 307903444, 795955178, 929374431, ( -1), ( -1), ( -1), 133762780, 387962674, ( -1), 97229870, 204454886, ( -1), ( -1), ( -1), 673878157, 292109351, 267223374, 863920282, 450060870, 397600133, ( -1), 55624628, 145143715, 595172931, 88685331, ( -1), 124217890, 436534837, ( -1), 939544141, 538268010, 703342296, 529591095, 411069369, ( -1), ( -1), 6178979, ( -1), 708197019, 10893656, 883882957, 786754598, 371307262, 7380401, 661000916, ( -1), 701213401, ( -1), ( -1), 810612544, 549207147, 78162252, 106815910, ( -1), 298389004, ( -1), ( -1), ( -1), 106401392, 902781848, 315166787, 991222534, 265392067, 934974267, 585617556, ( -1), ( -1), ( -1), ( -1), 238757288, ( -1), 747963542, ( -1), 902063827, 484420335, 475920693, ( -1), 289764541, 243897783, 202315179, 181741594, 794619476, 608298276, 983527167, ( -1), 884472891, ( -1), 948290008, 838608159, 393986146, 969298850, ( -1), 314611844, ( -1), 321649088, ( -1), 678268538, ( -1), ( -1), 223051961, ( -1), 428356731, 347513141, 992527907, 535535117, 969100075, ( -1), 572205968, 273067567, ( -1), ( -1), 841661358, 993709094, 771673834, 104023702, 484102469, 1933901, 371210595, 102430204, 145741676, ( -1), ( -1), 830753889, 136790907, 269583748, 285189870, 560883602, ( -1), ( -1), ( -1), 978286519, 406617574, 239652833, 154704546, ( -1), 18081287, 288908459, 626513076, 569770730, 715788854, 470610688, 347848917, 864928354, 295227539, 27296018, 166073137, ( -1), 14034719, 727141430, 108967752, 31319043, 657420323, 957818346, 725252745, 889456219, ( -1), ( -1), 256655506, ( -1), 562562233, ( -1), 532401928, ( -1), ( -1), 336636350, ( -1), ( -1), 136331587, 349324749, 363547829, 408122987, ( -1), 343323981, ( -1), 998686578, 635630645, 846874932, 297146275, 818819687, 344070615, ( -1), 468348750, 258593015, 752561588, ( -1), 132866572, 252147191, ( -1), 365022270, ( -1), 743042196, 364653842, 39823590, ( -1), 215550820, ( -1), 204499329, 183561416, ( -1), 657377035, ( -1), 82930672, 457221405, ( -1), ( -1), 943500226, 596292629, 26740417, ( -1), ( -1), 394961548, 912989707, 862582760, ( -1), 169556065, ( -1), 911875959, ( -1), 598790906, 583828777, ( -1), ( -1), 131655144, 586601032, ( -1), 328071972, ( -1), 372555040, ( -1), 81937139, ( -1), 203267951, 40413592, 405277523, ( -1), 358741551, 567113889, 212054898, 692441203, 753092347, ( -1), ( -1), ( -1), 186488925, 46091079, 358166433, 720077539, 680954536, 886331742, ( -1), ( -1), 432639457, 661582224, ( -1), 395292746, 802452929, 625980149, 312368277, 361375214, 957912481, ( -1), 5586301, 897122750, 288072432, 760384339, 673641495, 573523525, 498022064, 316021345, 996321362, 624064695, 320344507, 588884249, 564007549, 522500771, 71987404, 33741205, 153531120, ( -1), 953748351, 626678013, ( -1), 176611006, ( -1), 508777179, ( -1), 772061047, 68680132, 92109810, 993262010, 916875312, 494719569, 949115453, 27273213, 945018581, 399010174, 896381610, 618238827, 702851428, 242968893, ( -1), ( -1), 190243431, ( -1), 627804296, 662718738, 389050200, 629989686, 311020488, 135766728, 204234409, 510562495, 136249997, 309903639, ( -1), ( -1), 460151416, 475574657, 865030150, ( -1), ( -1), 264248413, ( -1), 454592115, 675434628, 737296281, ( -1), 460984609, 259367862, ( -1), 30672680, 707866378, 351660616, 459224043, ( -1), 767577822, ( -1), ( -1), 735068153, 423400993, 318142743, 60460438, 886069973, 148191231, 622743571, ( -1), 301246055, ( -1), ( -1), 894114188, 958641739, 396225161, 299610254, 305030208, 403474438, 302428544, 441005203, 537695120, 763162587, 581707246, 196586806, 944570137, 574562708, 12196311, 442637738, ( -1), 380740399, 1814343, ( -1), 503723494, 853498617, 997516329, 214453452, 860501648, ( -1), ( -1), 497670774, ( -1), ( -1), 460384159, 395929370, 695703391, 849152849, ( -1), ( -1), ( -1), 777998074, 239922255, ( -1), ( -1), ( -1), 59840651, 734285717, 561327435, ( -1), 221783941, ( -1), ( -1), 215595887, ( -1), 497704721, ( -1), 290261049, 536512971, ( -1), 629502806, 169180081, 303136176, 737707679, 819656879, 584518591, ( -1), ( -1), ( -1), 436476237, 499642046, 924952648, 258087754, ( -1), 221881724, 541895340, ( -1), 427630679, 756322097, ( -1), ( -1), 321476316, ( -1), 54539636, ( -1), 164193613, 581228195, 215130974, 910736768, 894285, 178451150, 869183368, 34978230, 295979553, ( -1), 943455740, ( -1), 82064975, 896951311, 301833247, 264948589, 889642242, 958879420, 562057293, ( -1), 684999346, 168113968, 23785003, 79996872, 223265046, 470292150, 216899819, ( -1), 510361426, 949199017, ( -1), 592406526, 290538491, 604381924, 340217494, 837734577, 179720264, ( -1), 85256776, 430271842, 881645523, 114077804, 219058797, 648653349, 447546915, 541815673, 395151407, 907629113, 47871049, 775161110, 570758713, 342068878, 258504714, 632268928, ( -1), 806095121, 939410090, ( -1), ( -1), 5816102, 524354430, 723921543, ( -1), 336237683, 97249924, 634750325, 104891963, ( -1), 639088372, ( -1), ( -1), ( -1), ( -1), ( -1), 982238538, ( -1), ( -1), 878501660, 467369857, 706452466, 955078641, ( -1), 309840708, ( -1), 623141544, 905829582, 582251176, 804102793, 466417076, ( -1), 111620356, 960428989, 239051141, 114592247, ( -1), ( -1), ( -1), 678502272, ( -1), 617935737, 696813084, 261206575, ( -1), 212635694, 656306980, 995114600, 792364134, 292999181, 333505313, ( -1), 272574754, ( -1), 375006815, ( -1), ( -1), 650568914, 323042731, ( -1), ( -1), 169487416, ( -1), 166023265, ( -1), 595953310, ( -1), 439711442, 655910528, 26823257, ( -1), 495963819, 999130374, 698644880, 576520903, ( -1), 924356654, 181159763, 928067473, 760942167, ( -1), 442855580, 279028616, 60111345, 834895691, ( -1), ( -1), ( -1), 347798757, ( -1), ( -1), ( -1), 721035971, 792910480, 822355897, 987950404, ( -1), 6165710, 140883374, 431302050, 519534449, 469744098, 682957274, 33448369, 442861222, 540073819, 367091434, 917114941, ( -1), 620032834, ( -1), 102952309, 514983568, 502700551, ( -1), 984031477, 700493578, ( -1), 175593766, 275504027, 251893093, 451606435, 972185579, 254629781, 978820985, 972429486, 487082286, ( -1), ( -1), 833202518, 355334183, 588249553, 951076426, 225715866, 348981309, 630234583, 951799089, 506954907, 608998690, 108111591, 329453527, 78386477, 283288279, ( -1), 332356645, ( -1), 83563828, ( -1), 930081978, 789472554, 822948373, ( -1), 376710207, ( -1), 850875734, ( -1), 998619530, ( -1), 609079028, 386057494, 678922720, 108199480, 646280394, 400809743, 724274265, 197471255, 992071843, 824921887, 33199603, 318339061, ( -1), 663975598, 559678595, ( -1), 641282194, ( -1), ( -1), 167501613, 432154190, 57454869, ( -1), 444116831, 25159975, 645605838, 78322656, 791539363, 577503791, 150706928, 616953373, 185170872, 117906337, 743474337, ( -1), ( -1), 397695475, 532592710, 914197492, ( -1), ( -1), 659334215, ( -1), 987375117, 236511695, 972700498, 294898141, 581743081, ( -1), 334232785, 856191899, 814803690, 41139226, 195993716, 748187307, 326269299, 458190335, 808236365, 711976094, ( -1), 218494375, ( -1), ( -1), ( -1), 520185924, ( -1), 247458037, 696919641, 646682539, 773684711, 613701219, 436847541, 936169970, ( -1), 890634135, 629205163, 949538109, ( -1), 596692878, 49151294, 429231591, 698556509, ( -1), 330178707, 256168198, ( -1), 363821003, 285810492, ( -1), 177388460, 557441186, ( -1), 577632559, 824970994, 195067790, 681062051, 814603322, 668468819, 335502836, 908548218, 59603985, 464288460, 847646694, 411444320, ( -1), ( -1), 320835876, 779066089, ( -1), 917984937, 7744707, ( -1), 787426397, ( -1), 70471248, 699040859, 530771913, ( -1), 409201388, 393790675, ( -1), 134104091, 901042566, ( -1), 739350444, 402742901, 149622946, 433949852, 90473125, ( -1), 449738958, ( -1), 862148775, ( -1), ( -1), 817219661, 258170562, 916127584, 797108172, ( -1), ( -1), 492975434, ( -1), 926046033, ( -1), ( -1), ( -1), 131751636, 334933950, ( -1), 489721365, 287879751, ( -1), 480139281, ( -1), ( -1), 198738230, 556977764, 264997092, ( -1), ( -1), 958890672, ( -1), ( -1), 207601958, 216758512, ( -1), 93572955, 62573199, 500093185, 326043432, 307829410, ( -1), ( -1), 419389626, 820520174, 748528703, 858157660, ( -1), 762913512, 847121264, 916547097, 605624291, 881729383, 190196105, ( -1), ( -1), 756700947, 225635079, 549456023, ( -1), 509938723, 782679051, 551115944, 738661360, 809466701, 44138647, 324752798, ( -1), 32667334, 221249485, ( -1), 894665133, 51017289, ( -1), 323969237, 683318226, 651173376, 217596527, 64329973, 791909477, 664457824, 468718121, 890097280, 843128072, 636693851, ( -1), 3784774, 432832568, ( -1), ( -1), ( -1), ( -1), 834066327, ( -1), ( -1), 153668676, ( -1), ( -1), ( -1), 594783480, ( -1), ( -1), ( -1), 251517460, 979375491, 142801483, 60465797, 931329543, 910211304, 245487103, ( -1), ( -1), 854659094, 693500714, 145749851, ( -1), ( -1), 327314345, ( -1), 213523634, 806920351, ( -1), 791534269, 261650284, 346540448, ( -1), 891866940, ( -1), 684477365, ( -1), ( -1), 640736308, ( -1), 146874095, ( -1), 135657931, 701509597, 542816777, 836325613, 19240970, 609039348, ( -1), ( -1), 165804071, 4630887, 784996271, 800072776, 194964676, 446384526, 367709745, 244115355, ( -1), 186061319, 264377893, ( -1), 843662632, 97098224, 281554921, 678303548, 689723002, 140244898, ( -1), ( -1), ( -1), 803935018, ( -1), 832635875, 383902250, 473225900, ( -1), 969467627, 135419542, 319237419, 223187136, ( -1), ( -1), 46275788, 263640384, 796782339, ( -1), 336898598, 552741512, 445387927, ( -1), 190176960, ( -1), 444182777, 782093674, 949234970, 162295432, ( -1), 897763601, 431331527, 355273950, 335538572, 742235076, ( -1), 143078985, ( -1), 240549583, 637025358, 458098505, ( -1), 656650410, 184037669, ( -1), ( -1), ( -1), ( -1), 733786291, 206150971, ( -1), ( -1), 469519037, ( -1), 136897008, ( -1), 595758709, ( -1), ( -1), ( -1), 679683618, ( -1), ( -1), ( -1), 113881875, 192208787, 511209443, 814177628, 58907306, ( -1), 8288123, 425982320, ( -1), 533731564, 320894183, ( -1), 517622037, 651200240, 658499628, ( -1), 44963748, 931414775, 331376029, ( -1), 405639425, ( -1), ( -1), 308123931, 150658894, ( -1), 865950162, 863055419, ( -1), 34196769, 866374690, 184514401, 901182191, 984932400, ( -1), 129398076, 661709764, 549072342, 624471031, ( -1), ( -1), 336261521, ( -1), 459972961, ( -1), 581891986, ( -1), ( -1), 577536107, ( -1), ( -1), ( -1), ( -1), 539311850, 192918259, 799807809, 344273610, 525992147, 989921183, 424891904, 501589424, 977753659, 612518623, 532764681, 221211197, 590640706, 891406917, 986557885, 6018328, 660527164, ( -1), 856759322, 226854958, 519251425, 147634420, 696841200, 313026153, 261045193, ( -1), 993767201, 680755725, 42278248, ( -1), 143930080, 719895985, 614948787, 679903812, 776642547, 60581228, ( -1), ( -1), 140928361, 636274501, 244585072, 451640114, 903974197, ( -1), ( -1), 392701100, 594104035, ( -1), 919171941, 965013415, 93031449, 232249214, 251921243, ( -1), ( -1), 895380684, ( -1), 912626836, 213900860, ( -1), 429330838, 249460352, ( -1), 207982692, 167752260, 12828235, 643489323, ( -1), ( -1), 360532914, 333432475, 555099918, 530975824, 440840610, ( -1), ( -1), 655113924, ( -1), 100340030, 379373258, 239719125, 159360167, 268139141, ( -1), ( -1), 639374321, ( -1), ( -1), 87850921, ( -1), 508480536, ( -1), 262216679, ( -1), 862760016, 544989570, 393829741, ( -1), 824707467, 720300905, 728910790, ( -1), 421974532, 443977999, ( -1), 350878392, ( -1), 694052989, ( -1), 358841838, ( -1), 331364394, 884861581, ( -1), ( -1), 608915540, ( -1), 85797655, ( -1), 136198920, ( -1), 654141275, 731636410, ( -1), 603559668, 405755338, 605103419, 604243475, ( -1), 446159038, 708370825, ( -1), 293621877, 989673590, 884455792, 623815118, 75408133, 690645214, ( -1), 374902316, 419220337, 441204727, ( -1), ( -1), ( -1), 896132056, ( -1), 609600011, ( -1), ( -1), 459306406, 288338207, 972735981, 985794975, 628055421, ( -1), 249328037, ( -1), 878397406, 34810146, ( -1), 772868338, 59531783, 348533820, 890038252, ( -1), 135925459, 778896529, 776366925, 700703571, 285090588, ( -1), 282286357, ( -1), 815915019, 360478086, ( -1), ( -1), 104947405, 919632904, 350679729, 849949607, 404539202, ( -1), 364172224, ( -1), 572722558, 25739583, 473072163, 876202018, ( -1), ( -1), 217976267, 185363060, 138657687, ( -1), 749443576, 612037399, 851422240, 559608419, 347653699, 935643601, ( -1), 810648625, 221009201, 35827827, 268540361, 416206306, ( -1), ( -1), 92621432, ( -1), 752887146, 172486428, 872240185, 369169540, ( -1), 498891646, 635076345, 389975835, ( -1), 135687278, 638145909, 107993131, 854397807, ( -1), ( -1), ( -1), 343415857, 612225105, ( -1), 213333747, ( -1), 79005699, ( -1), 269586028, ( -1), 88773291, ( -1), 512641346, 322120248, ( -1), 247272251, 170891811, 588968701, ( -1), 151310026, 520376652, 949603033, 397943007, 622292501, 588554228, ( -1), 376828543, 302303833, 798852353, 290951089, ( -1), ( -1), 990144116, 264344645, 692582071, 139065739, 694149269, 964591026, ( -1), 747075174, 191934590, ( -1), 144344228, ( -1), 498956878, 359489560, 698538207, ( -1), 434678714, ( -1), 706431034, ( -1), 12701173, 996476850, 337714354, 264944398, ( -1), 371639229, ( -1), ( -1), ( -1), ( -1), ( -1), 451550995, 428696548, 849525444, 337278773, 831586114, 384044292, ( -1), 310777120, ( -1), 613107161, 452253026, 904803575, 786794177, 46213545, ( -1), 539856060, 627873733, ( -1), ( -1), ( -1), 607754374, 127189659, ( -1), 739467540, 418179708, 924884452, 649043133, 107977120, 514226746, 674171446, 51044512, 327800164, ( -1), ( -1), ( -1), 629293250, ( -1), 642788422, ( -1), ( -1), ( -1), 770747291, 840571676, ( -1), 912259832, 326220664, ( -1), 929893530, 319300818, ( -1), 822087830, ( -1), 755375909, 70136814, ( -1), 378516684, ( -1), 395990389, ( -1), ( -1), 30890876, ( -1), 883017695, 699797105, ( -1), 137408816, 241012191, 951800572, 460914813, 65299769, 944413555, 19838212, 658827120, ( -1), 34868912, 669734327, 30893601, 602042515, ( -1), 590836131, 185487208, 569048931, 902684906, 748761168, 608716484, 302676260, 536856025, ( -1), ( -1), 512264080, 169819749, ( -1), 241802497, 156103721, ( -1), 403906426, ( -1), 550514901, ( -1), ( -1), ( -1), 962738993, 716433594, 646663503, 498282736, 343207634, ( -1), 180887045, 626545771, ( -1), ( -1), ( -1), ( -1), 42987797, 590157827, 518630775, ( -1), 407439593, 599761113, 337165275, 181981127, 132622966, 23055502, 364735308, 391195277, ( -1), 713009469, ( -1), 866932265, 423421716, 375674729, ( -1), 421730021, 972465641, 485544312, ( -1), ( -1), 239006946, 510058768, 692258294, ( -1), 380119334, 824842945, 993641120, ( -1), 718455540, 138777568, 300254031, ( -1), 840274539, ( -1), 979006933, ( -1), ( -1), 782247136, ( -1), ( -1), ( -1), 589863178, 554025992, ( -1), 757424879, ( -1), 424794302, ( -1), 521034866, 670134237, 805061728, 93098332, 893324935, 439706861, 420588286, 414882582, ( -1), 378652068, 443683037, 396643472, 825419839, 692736897, 983135280, 368627024, 941592584, 489881373, 387322179, 549522272, 474307702, ( -1), 840008685, 645183487, 368098175, 109523381, 608873454, ( -1), 802805048, 780962828, 699039325, 172220477, 149281172, 107526715, 874437754, ( -1), ( -1), 939952880, 696760180, 953156363, 221819442, 537054426, 658450651, 6831614, 977089770, 989943224, 312006564, ( -1), 495517633, 801436000, 886869107, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 620197547, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 592222857, 574575731, 3284593, ( -1), 404695872, ( -1), 115552961, 229598475, 939504387, 50700543, ( -1), ( -1), ( -1), 457571670, 321651363, 301922612, 342446637, 36956763, 815564764, ( -1), 585316560, 476914125, ( -1), ( -1), ( -1), 534629711, 331649936, 869963545, 652276762, 969357027, 847088547, 778192354, ( -1), 892821815, 915195297, 505291380, ( -1), 575938765, 869926223, 114629631, 804614821, 668139126, ( -1), 929496112, 554890686, ( -1), 428645584, 855214939, 176921449, 929864217, 168538480, 277063359, ( -1), 389299077, ( -1), 103227551, 515043822, 929246348, 563667302, 908193014, 57970044, ( -1), 174791279, 106018809, 580948972, 86212678, 62876802, 239995633, 169112981, 49304621, ( -1), 334779041, ( -1), ( -1), 896121417, 44646183, 259607909, ( -1), 881383810, 424408660, 90310265, 3033787, 442573284, 648465240, ( -1), ( -1), 300212596, 752104564, 634549327, ( -1), 597175460, 352494002, 148407433, 825819183, 791852024, 455035626, 556627933, 749201071, ( -1), 637488794, 997404854, 728889624, 117466094, ( -1), ( -1), ( -1), 101648366, 478878907, ( -1), 621228231, ( -1), 962438224, 871811200, 635926121, ( -1), ( -1), 742045373, 845711778, ( -1), 345889490, ( -1), 983540873, ( -1), 902894816, 162580695, 579678040, ( -1), 674261711, ( -1), 112676416, ( -1), ( -1), 814354021, ( -1), ( -1), 983066543, 68762743, 441458282, 919467331, 931442540, ( -1), ( -1), 709872673, 492062070, 856581379, 582268758, 187837329, 183924924, 118474705, 36574303, 472551217, 810660319, 397807078, ( -1), 607454929, 784984013, 58762271, ( -1), 15343953, 217018502, ( -1), 954270666, 379420440, 401993830, ( -1), 361238534, 427633437, 794228545, ( -1), 734219497, 250709031, 232311190, 296930928, 278729247, 957675437, ( -1), ( -1), 42312966, 560544096, 788981268, 441489689, ( -1), 787973548, ( -1), ( -1), 659975407, 625028179, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 459236417, 490088340, 940654716, 892807425, 166683546, 519903355, 432100438, 573284927, 819174478, 423284776, 735072253, 907224619, 114282915, 682311210, 96461972, 520130853, ( -1), ( -1), 373638471, 344032820, ( -1), 763817041, 917107731, 84151886, ( -1), ( -1), 680031276, ( -1), ( -1), 20857082, 482267888, 711576417, 257764137, 684733877, 980892655, 53310272, 346296370, 769572891, 330997823, ( -1), 307134485, 192613857, ( -1), ( -1), ( -1), 200587101, 481575793, ( -1), ( -1), 414204882, ( -1), ( -1), 540931208, 857786746, 455175013, 409935164, 629036215, 675681419, 652542981, 318350275, 410334345, ( -1), 669466002, 182090008, ( -1), ( -1), 623182773, 154953270, 274790999, ( -1), 803980634, ( -1), 181909190, 128746609, 128605603, 938927198, 785620437, ( -1), ( -1), 325266920, 854617395, ( -1), ( -1), 939411821, 71990063, ( -1), 871741153, ( -1), 445188453, 680679479, 821294087, ( -1), ( -1), 951086854, 648655303, 707259515, ( -1), 992895110, 824390159, 744686593, 22683527, 939867453, ( -1), 768603015, 400077525, 443918214, 204575361, ( -1), 636856676, 359601199, ( -1), 722522035, 167463547, ( -1), 385411000, ( -1), ( -1), 596935189, 481909526, ( -1), ( -1), 823532529, 817192510, 790178595, 255133633, ( -1), 677599657, 31984214, ( -1), 263346746, 503944181, 221830230, 955021936, 541032691, ( -1), 591253666, 699391364, ( -1), 908529191, ( -1), 658077424, ( -1), ( -1), 362836714, 479191536, ( -1), 968122729, 23459474, 812252560, 38849303, 748926731, ( -1), 891425578, 947546264, ( -1), 755616538, 503486110, 932188957, 311352601, 287991720, 562932333, 364440491, ( -1), 206864796, ( -1), ( -1), 139706794, 766519298, ( -1), 346759985, ( -1), 267960147, 16791594, 603881913, ( -1), 695615839, 515363481, 640116634, 394376819, ( -1), 56165632, 808582627, 612071451, 393458755, 175417829, ( -1), ( -1), 631289171, ( -1), 359606964, 155480702, 414937638, 767816474, 882528039, ( -1), ( -1), 115206495, ( -1), 705347816, ( -1), 339120507, 983386370, 477516889, 639634442, 665967011, 986767360, 538272825, 642431980, 558483807, 483368516, 645884996, 998959926, 95775503, 768033185, 976953089, 626087891, 868747452, 891035255, 792154866, 531089908, 866580421, 511535982, ( -1), 648109788, ( -1), 355929506, ( -1), ( -1), ( -1), 747661126, ( -1), ( -1), 850423914, 754517455, 819962100, 427576473, ( -1), 695359455, 377099516, 916979004, 793905169, ( -1), 392590757, 350098465, 417875000, 747159110, 756629661, 166100541, 966863500, 384030210, ( -1), 182166175, 829121257, 501546014, 477900468, 131149860, 150047897, 662936426, 378077332, 82301992, ( -1), 483943830, ( -1), 681044398, ( -1), 909548551, 355890372, 156991338, ( -1), 975610547, 286925091, 206474534, 306587732, ( -1), 949441414, 380745675, 371849902, 258957733, 803325640, 817479587, 286377672, 193240019, 111583199, ( -1), 254701155, 410120149, 16168484, 356209851, 597859807, 441550162, ( -1), 229125617, 900599391, ( -1), 303502436, 218306617, ( -1), 45784958, ( -1), 914308876, 916535530, 20752342, ( -1), 87712562, ( -1), 952895892, ( -1), 846395105, 551447196, 394348470, 23868736, ( -1), ( -1), 406597501, 995767873, ( -1), 292167334, 981507820, 345087007, 821283391, 104939061, 51674915, ( -1), 857156371, ( -1), 862524498, ( -1), ( -1), 379139624, 129980012, ( -1), 313925687, 24511827, 378260345, ( -1), 633755457, ( -1), 940226952, 921915022, ( -1), 346164839, 900452036, 909073456, ( -1), ( -1), 620044819, ( -1), ( -1), ( -1), 869879064, ( -1), 276425438, 623978994, ( -1), 616814760, ( -1), 636933739, ( -1), 168690020, 55559463, ( -1), 534340592, 92198369, 985026028, 537025483, 649390316, ( -1), 25792847, 6119332, 372009862, 61637113, 451876777, ( -1), 409955083, 781500314, 541798260, ( -1), 457547133, 414976862, ( -1), 894275259, 862855721, 62642510, 838462569, ( -1), 75254804, 653872775, ( -1), 792313514, 914033323, ( -1), 4367604, ( -1), ( -1), 768198417, 324499043, ( -1), ( -1), ( -1), ( -1), 591227494, ( -1), 101353835, 204553677, 603911622, 341348874, 662727046, 778543825, 185440768, 549868244, ( -1), 517384856, 456859419, 83516884, 867450400, 421843557, 979553780, ( -1), 220610257, 361656446, 181504155, 126878714, 218455880, 616734880, 241127356, 233724851, 632898031, 10725253, 721720898, 686998286, 926701566, ( -1), 866878864, ( -1), 236351282, ( -1), 947315073, 295682909, 663931326, 532880346, 777703716, 535955468, 221723851, 113372724, ( -1), 307426497, 856518122, 501309931, ( -1), ( -1), ( -1), ( -1), 377522159, ( -1), ( -1), 756907355, 567576826, ( -1), ( -1), 951443832, 505828840, 448754370, 369898649, 841959827, 537949315, 741479554, ( -1), ( -1), 532297806, 373152647, 190776758, 260422366, ( -1), ( -1), 271682137, ( -1), 440661526, 288457188, 846326116, 765289068, 148592429, 648594865, 253137220, 354300399, ( -1), 853616216, 755299424, 168756343, 72939223, 802928205, 640847831, 765605634, 221116514, 501990929, ( -1), ( -1), 722973550, 237436929, ( -1), ( -1), ( -1), ( -1), ( -1), 949316333, ( -1), ( -1), ( -1), 259325506, 626507211, 723674672, 799615440, 808840855, ( -1), 982139571, 756613961, ( -1), 997572825, 553870289, 402840644, 718593723, ( -1), ( -1), ( -1), 42161242, 237383807, 223401643, 66181093, 848119149, 284650396, 903755748, 185224008, 933555167, 791991799, 9033358, 964873845, ( -1), 186643774, ( -1), 654137611, 115233400, ( -1), 753773721, 315770786, 838013407, 760165807, 877212307, ( -1), 534181255, 924688923, ( -1), 175172116, 25139454, ( -1), ( -1), ( -1), 219661574, ( -1), 860603742, 157340224, ( -1), 790313994, ( -1), ( -1), 628788137, 311629760, 765824127, 669055691, 341939934, ( -1), 386496230, ( -1), ( -1), ( -1), 762807643, 407999807, ( -1), ( -1), ( -1), 358092921, 985495388, ( -1), 809990941, 907222152, 746333807, ( -1), 775461237, ( -1), 787486116, 125064930, 878849498, 443302543, ( -1), 15677815, 935167807, 477567074, 733388869, ( -1), ( -1), ( -1), 487682315, 773549886, ( -1), 734977819, 993890271, 463526964, ( -1), 837115411, 15502652, 572837168, 57007042, ( -1), ( -1), 807660622, 765290508, 323359729, ( -1), 487674924, 825832791, 976120116, 647661232, ( -1), 660416895, 904925394, 740455719, 18157888, 268190222, 207130659, 577777881, 944246136, 422511500, 733461256, ( -1), 585827108, ( -1), 486177521, 815459704, 134830506, 260895523, 538611928, 259705209, 663078592, 791177381, 758646521, 674488468, 774781600, 11475748, ( -1), 336017748, ( -1), 758664508, 861901209, 931873315, ( -1), 819307536, 825083932, 437772143, 464134609, 161218439, 901829874, 433342730, 829294758, ( -1), 357329801, 551518755, ( -1), ( -1), 159809090, ( -1), 173748678, ( -1), ( -1), 423182227, 511520084, 602887309, 448347899, 267050654, 313725171, 979584574, ( -1), 701012201, ( -1), 418987514, 351339703, 985211225, 923550454, 55500062, 754109942, 85130974, 379740044, 4734750, ( -1), 816066034, 645967865, 844913062, 479284879, 78203787, 821274251, 593387198, ( -1), 743560706, 557822139, 66308680, 774840185, 354418944, 502725378, ( -1), 221058921, 905012857, 481255033, 305202740, ( -1), 116160616, 420973097, 679234150, 675020152, ( -1), 476776776, 55153679, ( -1), 769171090, ( -1), 3314080, ( -1), ( -1), 362275196, ( -1), 935313659, 368650407, ( -1), 175460995, 201134861, ( -1), 734870814, 98260791, ( -1), ( -1), 821096425, 143685909, ( -1), 68373458, 770481928, 6503743, ( -1), ( -1), 750372025, 294897578, 229335457, 782858055, ( -1), ( -1), 678540753, 97464939, 97983835, 140363275, ( -1), 752255339, 388951422, 477178443, 992328106, ( -1), ( -1), 400401320, 927266201, ( -1), 495507929, 638118906, ( -1), 41635116, 41971403, 300916143, 663294846, ( -1), ( -1), 358999617, ( -1), ( -1), 886669065, 832412484, 18481974, 10112801, 809872178, 844084302, ( -1), 744421572, 174874028, 991546898, 60206185, 404553212, 475681207, 137286566, ( -1), ( -1), ( -1), 160239039, 205744613, ( -1), ( -1), ( -1), 740287596, ( -1), 595745235, 238579843, 91758533, 71247983, 650220629, 910508407, 828350715, ( -1), ( -1), 693379916, 265908522, 664558598, ( -1), 509068668, 998140612, 441240277, 133524503, ( -1), 373911875, ( -1), 695340619, 126460962, 31182349, ( -1), ( -1), 843169117, 388390521, 62377515, ( -1), 841146454, 209533300, 94403604, 536396090, 115331175, ( -1), 778195425, 848904597, 144504223, 284812400, 236318173, 926060812, 406207156, 178859788, 643048877, 605526984, 549316195, 699462881, 549185162, 4444961, 799229650, 750319690, ( -1), 583044283, 669348681, 886353543, 607786364, 451823499, 946068857, 703068001, 399406379, 577559342, 935702968, 270086885, ( -1), 222034999, 959481574, 883978773, 649781157, ( -1), 971049690, ( -1), 197214143, 715664241, 961785885, ( -1), 774551630, 291813520, 915898330, 47647696, 737485017, 217245550, ( -1), 886416719, 753118249, 929094460, 651867742, 460055544, 14401172, ( -1), ( -1), 106546008, 324444427, 758989116, 608269392, 781095195, 452546118, 518235825, 99467719, ( -1), 542972434, 747369442, ( -1), 560572962, 717271262, 135248473, 689498785, ( -1), ( -1), 851995131, 156569670, 263915128, ( -1), 150824986, 19403504, 526522690, 298776130, 480964392, 437526081, 843061012, 15061251, ( -1), 694484224, ( -1), 357529780, 127219991, 29672870, 921252682, 487827486, ( -1), ( -1), ( -1), 849509341, 981541141, 681060577, 597591523, ( -1), ( -1), ( -1), 601741258, 841876368, 214231669, ( -1), 837932973, ( -1), ( -1), 941525470, 222607652, ( -1), 831769012, ( -1), 56518829, 629840499, 411987963, 458340781, 620846627, 204931581, 312368725, ( -1), ( -1), 663470647, 355548923, 551907290, 385785272, ( -1), 356956357, 862466446, 875112916, 822467182, 323630872, 622988396, 660433894, ( -1), 147707086, 573740482, ( -1), 932896200, 475775725, ( -1), 606023832, 752099719, ( -1), 244752260, 95107579, ( -1), 506309166, ( -1), 844507081, ( -1), 419615176, 122419181, 406139018, ( -1), 36639017, ( -1), ( -1), 819972098, 137974211, 4114585, 800542050, 834318276, ( -1), 388990541, 370220522, 467123228, 379881087, 846347318, 771386872, 496396837, 188004037, ( -1), 865586740, ( -1), 538005381, 378834111, ( -1), 973750545, 429422654, 921967423, 425555312, 531643898, 585173681, ( -1), 563616336, 14014161, 560859260, ( -1), 451799843, 203781073, ( -1), 742624605, 973200093, 827127654, 70213033, 778012201, ( -1), 964440048, 398041993, ( -1), ( -1), 489420709, 985643799, ( -1), ( -1), ( -1), 866328405, 222136206, ( -1), 726095911, ( -1), 970107097, 456250904, ( -1), 954191691, 458674117, 462143302, ( -1), 494228654, 549129252, 338012888, 92143101, 374677620, 957695971, 412644427, 838765257, 435722383, 779536286, 828058630, 705354550, 534472039, 849141146, 80556938, 625298304, 607600315, 896128909, 243038959, 879284877, 158752580, ( -1), ( -1), ( -1), 269973312, 585381215, 1673561, ( -1), 250708345, 420200681, 579807411, 575231616, 346032506, 494886836, 892143758, 110786885, 87043840, 804727020, 455700185, ( -1), 526065019, ( -1), 762629304, ( -1), 433344643, 569566283, ( -1), 390413287, ( -1), 178807802, ( -1), ( -1), ( -1), 620567969, ( -1), ( -1), 89875956, ( -1), 570346845, 257153870, ( -1), ( -1), ( -1), 315729391, 595203938, 415960258, 95708785, ( -1), 563411679, ( -1), 386101769, 374095620, 604460204, 411298207, 367578574, ( -1), 460647920, 289466374, 229350011, 528843678, 189844988, 134007954, ( -1), ( -1), 412336582, ( -1), 353954437, 809496025, ( -1), 166045011, 219838342, 27212599, ( -1), ( -1), ( -1), 235824640, 367320039, ( -1), ( -1), 14912384, 766950619, 300990589, 974879436, 379558591, 580590674, 752059851, 983913683, ( -1), 175087152, 725750027, 482730151, 909057072, 211635086, 985448182, ( -1), 577399309, ( -1), 247961306, 456519011, 863554861, ( -1), 544032037, ( -1), ( -1), 827237564, ( -1), 73045966, 730593415, 602333600, 786614622, 544445567, ( -1), 752388975, 226078469, ( -1), 627490134, ( -1), ( -1), ( -1), ( -1), 132979221, 573126843, 163625426, ( -1), 668637199, 840847529, ( -1), ( -1), ( -1), 440148597, 589716292, 294922978, ( -1), 860657483, 117061541, 697148616, 238036356, 718706750, ( -1), 957830162, ( -1), 484892120, ( -1), 640735391, ( -1), 436506637, 752564497, ( -1), 838239563, ( -1), 947231837, 480813013, 899139042, ( -1), 447686924, 530186290, 857272764, ( -1), ( -1), 596341857, 194302295, 339972122, ( -1), 14768524, ( -1), 18216579, 683223289, ( -1), ( -1), 465737633, 897428197, 17000748, 126131465, 592385423, 855105249, 402069123, 768050880, 423208183, 659550050, 450368497, ( -1), 563310885, 907198993, 670710082, ( -1), 954087414, 152758359, 789879813, ( -1), 347525610, ( -1), ( -1), ( -1), 712095857, ( -1), 650734398, ( -1), 818508603, 639234712, 495481620, 185386348, ( -1), 143558783, 3574298, ( -1), ( -1), 724986720, ( -1), ( -1), 703687126, 984713350, 323511125, 887915422, ( -1), 479547152, 162480509, ( -1), 34470544, 392291144, ( -1), ( -1), 452709524, 55654880, 66536601, ( -1), 85231456, 501145322, 53983337, 983548270, 481033208, 930396254, ( -1), 309858915, ( -1), 508939699, 14412846, 437781370, ( -1), 469599458, ( -1), 567983832, ( -1), 750829934, ( -1), 67017731, ( -1), 256279643, 515045623, 482803133, ( -1), ( -1), ( -1), ( -1), 887964353, 661652252, 962071447, 359884735, 575893203, ( -1), 355939392, 858699854, 263574520, 986932835, ( -1), 706012548, 472489921, 347362627, 488441181, 341797546, ( -1), 451552573, 938482017, 137883953, ( -1), 469780251, 854161613, 670265069, ( -1), 340133672, ( -1), 954364194, 733655746, 416634811, 826944858, 791105188, 21294448, ( -1), ( -1), 902175811, ( -1), 818968798, 747579135, 760820188, ( -1), 829573938, 347725833, 850623298, 808841648, 650567482, ( -1), 748822848, 303550403, 27355703, 155226640, 189408915, ( -1), ( -1), 202083378, 645095494, 341401917, 986764672, 222815872, ( -1), 670514776, ( -1), ( -1), 707038791, 806202784, 728958647, 82369908, 586033335, ( -1), 416091118, 214832145, ( -1), 914117716, 27080040, ( -1), 472368618, 493358177, 517497847, 999693666, ( -1), 602154228, 575997462, 563682249, ( -1), 197197367, 240758691, ( -1), 813540066, 475333951, 793167136, 8625224, ( -1), 619247919, 541895124, 944062261, 178099501, 109603930, 115596047, 471032521, 636138644, ( -1), 230079430, 474487687, 61671737, 533237894, 229229205, ( -1), 446217425, ( -1), 344261650, 457748086, ( -1), 36194358, 540939225, ( -1), 355321588, 262196120, ( -1), 595509360, 119116623, 183640875, 714829013, ( -1), 789973730, 899162565, 457660295, ( -1), 656946733, ( -1), 586890016, 90546254, ( -1), 629267255, 893305800, 788407241, 202126020, 213798183, 22536150, 452576651, 650646769, ( -1), 651809936, ( -1), 544513147, ( -1), 791110512, 734078334, 376002130, ( -1), 921013123, ( -1), ( -1), 275859547, 200149733, 47021341, ( -1), 225361036, 601492831, 615873802, 116423305, 493966200, ( -1), ( -1), ( -1), 816830311, 557935232, ( -1), 460966049, ( -1), 555669911, 529090211, ( -1), 764271350, 966748589, ( -1), 403373495, 417789711, 102796397, 349329946, 442646306, ( -1), ( -1), ( -1), 538331139, ( -1), 342704587, 30847118, 689385004, 478235262, 932318868, 589066698, 228453906, 497244389, 668009683, 438089035, ( -1), 921712967, ( -1), ( -1), ( -1), 907016014, ( -1), 199766019, 149778234, 403575434, 214878763, ( -1), ( -1), 924997416, ( -1), 343948762, ( -1), 55501255, 26807542, ( -1), ( -1), 583137565, ( -1), ( -1), 510856124, 783869604, 520132473, 591199186, ( -1), 271297865, 313768486, 796317158, 242011745, 294415218, ( -1), 83587651, 254564888, 915191284, 24118936, 854717565, 186520862, ( -1), 996071598, 518156984, 407128347, ( -1), ( -1), ( -1), 725584937, ( -1), 547756950, 645466398, 736521298, ( -1), ( -1), ( -1), 82982967, 966771953, 162996801, 765943135, 523584147, ( -1), ( -1), 980841026, 30716067, 335245214, 790481611, ( -1), 114124227, ( -1), 840037741, 826913275, 87368029, ( -1), 211304785, ( -1), 136195547, 631461924, 656643932, 130150401, 327831428, 995642195, 551787795, 191418879, ( -1), 921397730, ( -1), 533350729, 241547207, 620784464, 972898079, 67245111, 334426176, ( -1), ( -1), ( -1), 649184924, 935551016, 962980644, 177442603, ( -1), ( -1), 407319602, 741355875, 105195971, 777107647, 717303919, 259476448, 197798859, ( -1), 783446129, ( -1), 847491528, 985287206, ( -1), ( -1), 263602065, 392816321, ( -1), 3185789, 212373230, 24362903, ( -1), 548207091, 891172617, 25218495, 70484855, ( -1), 427863266, 629650876, ( -1), 174732539, ( -1), 399373216, ( -1), 576688204, 744710791, ( -1), 144977274, 190180328, 290095304, 343384059, ( -1), 220984534, ( -1), ( -1), 659102384, 252278482, 985889287, 881415248, ( -1), 96890403, ( -1), 496042012, ( -1), ( -1), 251519956, 353598675, ( -1), 104982739, ( -1), 453631522, 659138486, 913514366, 78801985, ( -1), ( -1), ( -1), 915142404, 277760322, 695280824, 574238789, 102220724, 760769534, 182002150, 282462400, 465838572, ( -1), 657783753, 403784776, ( -1), 680185743, 739249179, 587965134, 845015345, 386728099, 29546114, ( -1), ( -1), 337128428, 363499153, ( -1), 805165718, 893209916, ( -1), ( -1), ( -1), 426383950, 544882967, 450579918, 232568932, ( -1), 816773193, 953586020, 715065808, 668244370, 225824965, 716744238, 591775896, ( -1), 845822378, ( -1), ( -1), 100735669, 939116202, 845916045, ( -1), 104848984, 1563913, ( -1), 350965205, ( -1), 352094932, ( -1), 765775909, 31692746, ( -1), ( -1), 614318436, 616798935, 366658150, 605788553, ( -1), 357904045, 711136038, 869908193, 343511300, ( -1), 24308717, 923480577, ( -1), 909773401, 440063100, 675895850, 296671214, 824583636, 174013308, 175617192, ( -1), 368237996, 656208382, ( -1), 24232200, 351364486, 970353143, 541850155, 363949610, ( -1), 673627392, 826061969, 251935511, 182641037, ( -1), 47692180, 425703488, 252638370, 981212142, 688296654, ( -1), 64894112, 107373806, 764244564, 445289448, ( -1), 856409236, 471211118, 429494234, 629015503, ( -1), ( -1), 327145798, 485468859, 905205649, 833990790, ( -1), 434216401, 673878371, ( -1), ( -1), 903990193, 649554507, ( -1), 245023522, 250218900, 17870237, ( -1), ( -1), 902220942, 131961401, ( -1), ( -1), 44178254, 667379413, 371433236, 105838922, 417289941, 939382413, 75237497, ( -1), ( -1), ( -1), 86450744, 436441343, 898702357, 111925585, 663691954, 348135056, ( -1), 718369625, 29142293, ( -1), ( -1), 873146400, ( -1), 902398711, ( -1), 995600, 599131027, ( -1), ( -1), 511685279, ( -1), 645421797, 677583856, 274491774, ( -1), 233780795, 715805445, 194440543, ( -1), ( -1), 493580774, ( -1), ( -1), ( -1), 670172298, 386306513, 951482291, 927537332, 488852229, 307744780, 45536974, ( -1), 227895133, ( -1), 799275274, ( -1), ( -1), 943873959, ( -1), ( -1), 588598222, 63757996, ( -1), ( -1), 522659812, 625047997, 87703560, ( -1), 67127169, 824803047, 746908993, 927904622, 612317587, 761043778, 878539815, ( -1), 502427943, ( -1), 296917565, ( -1), 829219785, ( -1), 682098670, 330625728, ( -1), 808316222, 997406047, ( -1), ( -1), 849113132, 308067867, 774425737, 863252387, 657064559, 395037037, 172189088, 666808297, 491104691, ( -1), 386453198, 249958922, 910470095, 353387724, 362685450, 547906501, ( -1), 885927886, 20454949, 86382917, 576597935, 167311011, ( -1), 804958588, ( -1), 220543675, 385136503, ( -1), ( -1), 617969920, 648793727, 989456939, ( -1), 712898307, 636885535, 202008777, ( -1), 586963634, 284283332, 389625229, 595886534, ( -1), 767915258, ( -1), 468075617, 221618976, ( -1), 702813882, 582048296, 596884203, ( -1), ( -1), ( -1), 603742495, ( -1), ( -1), 943339609, 346570636, 727090841, ( -1), ( -1), ( -1), 849501174, 454041977, 680448825, 602787143, 521766136, ( -1), 13763202, 246205395, 676405052, 446756762, ( -1), 493477374, 484917177, 630829759, 653718833, 314527245, 101418542, 842372163, ( -1), 817169586, 566978928, ( -1), 632366241, ( -1), ( -1), 404831141, 90214116, ( -1), ( -1), 654568569, 83448258, ( -1), 195310502, 632115125, 771920574, ( -1), 946979018, 451355773, ( -1), 779026233, ( -1), 241192092, 921449935, ( -1), 676938550, 347078490, 319097508, 826946966, 814517329, ( -1), 512161021, 53014825, 129743407, ( -1), 531431764, 676200053, ( -1), 415963280, ( -1), 737392656, 485246021, 285691194, ( -1), 659314063, 628687685, 384575761, ( -1), ( -1), 302752958, ( -1), ( -1), 802643823, ( -1), 174655187, 300680223, 618006886, ( -1), 813333291, ( -1), ( -1), 798733009, ( -1), ( -1), ( -1), 619252244, 406404890, 447180909, 157287266, 245304313, 418956027, 656138630, ( -1), 326978502, ( -1), 116993781, ( -1), 994666136, 952377590, 602900417, ( -1), 852419456, ( -1), 332157245, 631372502, 92660304, 664203466, ( -1), ( -1), ( -1), 889274220, ( -1), ( -1), 326982244, 732621001, 662160578, 43185254, 198844699, 607950748, 47950152, ( -1), 628189685, 535483011, 931489031, 189488817, 135256539, 775193598, ( -1), ( -1), ( -1), 78783675, 125075831, ( -1), 524579652, ( -1), 513177282, ( -1), ( -1), 677153653, 348836916, 856472767, 489500923, 251522520, 896706273, ( -1), ( -1), 16116557, 542179931, 424222001, 293115672, ( -1), 41309762, ( -1), ( -1), 412907213, 163202809, ( -1), ( -1), 96138200, 582880467, 830612725, ( -1), 811597614, 437172604, 38145465, ( -1), 192916107, ( -1), 915063731, 79199943, 365014997, 801097203, 670767549, 659296926, 125694557, ( -1), 258070882, ( -1), 267273117, 289079885, 769538650, ( -1), 57270459, 399725835, 687065748, 594568438, 70623290, 271364394, 813801577, 612050431, ( -1), 97870849, 870484971, 545944530, 893138491, ( -1), ( -1), 746715736, 928711910, 103800923, 782214787, 282764352, 247059838, ( -1), 934909515, 161388463, 172442899, ( -1), 518743372, ( -1), 775547709, 573448552, 915722987, 270157939, 679993994, ( -1), 580743399, 425718055, ( -1), ( -1), 421140689, ( -1), 252650051, ( -1), 709184197, 95133434, 826872815, 623825588, 188566728, 818911075, 684831147, ( -1), ( -1), 524030594, 119945583, 524444048, ( -1), ( -1), 582546442, ( -1), ( -1), 901116591, 787626195, 648066437, ( -1), ( -1), 617074557, 471049067, 285580114, ( -1), 954818363, 704676502, 56127195, 817018855, ( -1), 920952705, ( -1), 52543105, 360800864, 963537937, ( -1), 255078303, 720053817, 630393318, 3654052, 86938727, 111841515, 533601057, 945079016, 518642421, 879787118, 220713432, 987303846, 188660409, 943462758, ( -1), ( -1), 3539386, ( -1), 486523674, 239604778, ( -1), 83445197, 598101608, ( -1), 337021511, 671308546, ( -1), 731493019, ( -1), 327450846, 209103936, ( -1), ( -1), 840116561, 925727925, 322643268, ( -1), 139212154, 973068961, 903530308, 816958616, 940703262, 512844620, ( -1), 782211284, 567544389, ( -1), ( -1), 371379109, ( -1), ( -1), 759765055, 608542745, 375176095, 743095477, 335644395, 890059061, ( -1), 495049998, ( -1), 715646746, 750628165, ( -1), 569008085, ( -1), 729438558, 374211001, 138999691, 806253050, ( -1), 939140765, ( -1), ( -1), ( -1), ( -1), 372861253, 58781372, 125866428, 909041002, 754168104, 770603193, 783070867, 399195817, 681650165, ( -1), 479129155, 848152452, ( -1), 691500317, 327426741, ( -1), 948784717, 422361804, 825143318, ( -1), ( -1), 920208055, 164112740, 104528347, ( -1), 662452859, 36549470, ( -1), 324148747, 373968431, 269609041, ( -1), ( -1), 318612036, 818774196, 207644623, 345036179, ( -1), 793476665, 155124718, ( -1), ( -1), ( -1), 128151099, 712126586, 997887157, ( -1), 742176319, ( -1), 510375890, 118032555, 890172314, ( -1), 566369785, 144040062, 932865685, 580553297, 969783662, 653540685, 43701717, ( -1), 324088016, ( -1), 950279029, ( -1), 802822448, 20689898, ( -1), 766911232, 24750895, 121851307, 610464183, ( -1), 564728309, 597338075, 341143964, 239230611, ( -1), ( -1), ( -1), 481615216, 77639683, 361051306, 806156777, 23910822, 17464693, ( -1), ( -1), 625747906, 499641865, 430420862, ( -1), ( -1), 620546332, ( -1), 815007087, 929110348, ( -1), ( -1), 987045958, 186294322, ( -1), 66417087, 474668975, 455789052, ( -1), ( -1), ( -1), ( -1), ( -1), 529772738, 818638028, 401998995, 846772775, 700144308, ( -1), 687852458, 158021177, 113404508, 235352635, 168343360, 108805829, 978699967, 787971577, 191076548, 998990718, 967965293, 930430733, 830416776, 842725624, 855724688, 961667844, 257742420, ( -1), ( -1), 664903825, 310477825, ( -1), ( -1), 177676186, ( -1), 351435896, ( -1), ( -1), 680010617, 7297179, 910503562, 253866132, 833347195, 971440721, 256461759, 626165091, 218989891, 714973216, 576187260, ( -1), 10563856, 428901292, 80027054, ( -1), 677470697, ( -1), 606183823, 78189169, 494516786, ( -1), ( -1), 860538724, ( -1), 745858581, 480282527, ( -1), 534726140, 320145072, 841646402, ( -1), 89499086, ( -1), 972901746, 890639771, 117795975, ( -1), ( -1), 656806069, 744731199, ( -1), 836310874, 906543813, ( -1), 358787751, ( -1), 681627771, ( -1), ( -1), ( -1), ( -1), 883426604, 197964568, 622977290, 455569997, 672683504, 5163578, ( -1), 979006572, 503672458, 146053560, 131868943, ( -1), 533473004, 291106856, 467551812, 274122214, 933273328, 307109762, 494256841, 629914824, 560075242, 988136233, 221032052, ( -1), 253465719, 259676287, 811959954, 786069138, 809095989, 368000630, 883020945, 515398312, ( -1), 772848902, 668070017, ( -1), ( -1), 793307587, ( -1), 449730751, ( -1), 910239021, ( -1), 841549401, 819359407, 963377040, 135199900, 623578807, 372832279, 78231197, 734312327, 66396817, 986344664, 694016160, 94122481, 766486747, ( -1), 262369167, 818649748, 716497816, 892072910, 30062924, ( -1), 124066230, 786115813, 489248833, ( -1), ( -1), 291281958, 131361395, 111833385, 349738729, 968708604, 107454349, ( -1), 173019557, 857748302, ( -1), ( -1), ( -1), ( -1), 28575494, 838522651, 733327311, 48697533, 833703877, 915372528, 154958996, 786233380, 657695841, 969481841, 324812243, 182258321, 464460377, 293033909, 198189953, 688813214, 176264904, 242409201, 62261667, ( -1), 171028571, 751275166, 638672257, ( -1), ( -1), 492024891, 984737632, 155020223, 131173393, ( -1), 916943078, 132347032, ( -1), ( -1), 328030673, ( -1), 414028350, 331579644, ( -1), 232830685, ( -1), ( -1), 621211688, 123456173, 390740381, 988595206, 73861567, 962244241, ( -1), 462958246, 492705613, 275073674, ( -1), 381223075, 502060207, 471450517, 736147445, 446819846, 960289868, 570586699, ( -1), ( -1), 712417966, ( -1), 354606090, ( -1), ( -1), 354651307, 473302468, 422093604, 635719828, ( -1), 62916041, 284181378, 304647195, ( -1), 787946306, 881792763, ( -1), 118140588, 598227938, 70363564, 95500661, ( -1), 742175352, 287652985, 709043091, ( -1), 289940308, 429612602, 115372445, 868903752, 941701418, 341594657, 926845463, ( -1), ( -1), 916830706, ( -1), 513665769, 429557607, 105900199, 458447278, 598977474, 144552663, 922992907, 79461863, 931840239, ( -1), ( -1), 904161891, 546401713, 339495689, 279735428, 631672302, 473602988, 945528355, 984077885, ( -1), 587486059, 556005517, 755876738, 281026827, 892714720, 83159274, 674990795, 678975388, 652838505, 867412627, 808387722, 910502812, 870022298, 24095279, ( -1), 319020221, 343617686, 370926237, ( -1), 33871877, ( -1), 394039506, 325908185, 335379436, 41252788, ( -1), 935209621, ( -1), ( -1), 866956598, ( -1), ( -1), 899568374, 783688001, ( -1), 17263379, 926506460, ( -1), 662070162, 763655795, 660257331, 514042906, 833271074, ( -1), 763991350, ( -1), ( -1), 891578111, ( -1), ( -1), 336537814, ( -1), ( -1), ( -1), 478256910, ( -1), ( -1), 396742130, 70878139, ( -1), 843594949, 611589035, 695427181, 9159408, ( -1), 916425407, 273682342, 213004712, 993771355, 908125709, 96374849, 372447953, 706747157, 285699074, 534580653, ( -1), 410921750, ( -1), 456566384, ( -1), ( -1), 924107212, 340338947, ( -1), 592785292, 156515831, 274076268, 714842890, 61163498, 22962575, 143751638, 676926461, ( -1), 561134152, 59924208, 729808025, 833911727, 496639475, 210336995, ( -1), 792906807, ( -1), 224593448, ( -1), ( -1), ( -1), ( -1), 358456570, 641417543, ( -1), 989133247, ( -1), 660555027, 382471364, 477227513, 262683904, 913844700, ( -1), 885316544, ( -1), 286793546, ( -1), 691450800, 50118150, 68316135, 868797626, 570303262, 598575575, ( -1), ( -1), 959050803, ( -1), ( -1), 474460871, 747415623, ( -1), ( -1), ( -1), ( -1), 775108217, 954594104, 233006655, 664410013, ( -1), 234218385, 582952029, 351843570, ( -1), 969254881, ( -1), ( -1), 248705683, 827021918, 868423004, ( -1), 263452138, ( -1), 10736226, ( -1), ( -1), 49613215, 211511119, ( -1), 34522879, 128604960, 559270611, ( -1), 691064415, ( -1), 928712639, ( -1), 42513266, ( -1), 109907182, 382928697, 393401896, 812388892, ( -1), ( -1), 470887084, 726474505, 763389862, ( -1), ( -1), 818300501, 869612129, 666263766, 894468214, 254922965, 518836630, 147864951, 459783197, 408615074, 408074157, 78428522, 850306570, ( -1), 896152144, ( -1), 633604906, 207952478, ( -1), 758829471, 20685921, 9959264, 491996109, 755531405, 615695693, ( -1), 415677128, 2413399, 819683001, 583506795, 487861472, ( -1), 857037335, ( -1), 211123183, ( -1), 570853597, ( -1), 82462398, 275221396, 471314938, 254019308, 550429769, 861639582, ( -1), ( -1), 185972319, 498973335, 892125957, 776448205, 630908656, ( -1), 154373426, 173900269, 641968702, ( -1), 445952719, 961296967, 123754065, ( -1), 693215913, 598888286, ( -1), 326098477, 382093690, ( -1), ( -1), 498947187, 721647583, 465789089, 658310306, ( -1), 725787154, 335384625, ( -1), 271009245, 973646902, 982540647, ( -1), 145410365, 373186169, 146711721, 357422291, 300910172, 671355129, 970298596, ( -1), 673439000, 172972761, 438714676, 5535084, 126273163, 343067180, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 551736638, ( -1), 727182178, 869387005, 465436718, 453397472, ( -1), 523765701, ( -1), ( -1), ( -1), 704416992, 778500039, 959337600, 59295493, 551199043, ( -1), 201960839, 602741446, ( -1), 482853450, ( -1), 135833718, ( -1), ( -1), 564920767, 426329885, ( -1), ( -1), 54217965, 550525099, 208619312, ( -1), ( -1), 226846553, 694214611, 808415427, 943282032, 847457320, 511889671, ( -1), 258611052, 76365151, ( -1), 954290054, 130703938, ( -1), 553018763, 120087387, ( -1), 729712047, 715348912, 198273927, ( -1), ( -1), 513713687, 937736097, 398452736, 901134343, ( -1), ( -1), ( -1), 99016133, 110475605, ( -1), 875692657, 777682126, ( -1), 301216006, 444907601, ( -1), 79108578, 811363302, 874594381, 582743372, ( -1), 364122249, 706720026, ( -1), ( -1), 280555104, ( -1), ( -1), ( -1), ( -1), 789693655, 398293569, ( -1), 344062470, ( -1), 314415876, ( -1), ( -1), 609774061, ( -1), 668375964, 72104698, ( -1), ( -1), 654074764, 446563181, 917719199, 293161631, 217256300, ( -1), 537649023, ( -1), 463026345, 454906506, 988113267, 768487035, 419212323, 485381256, 870947595, 19414656, ( -1), 904190455, 507403455, 324067624, ( -1), 661042151, 125699679, ( -1), 420818408, 851192508, 780629821, 479192362, 635128434, 79464689, 825401461, 407083969, 73758497, ( -1), 688276566, 577068584, ( -1), 180856990, 399573956, 631426380, ( -1), ( -1), 378894387, 407639068, ( -1), ( -1), 287806807, 617519453, ( -1), ( -1), ( -1), 480703170, ( -1), ( -1), 607625857, 591296355, 174838626, ( -1), 995586822, 575992773, 275116885, ( -1), 662368611, 479025280, 810579018, ( -1), ( -1), ( -1), 697641742, 902357206, 281626861, ( -1), 21807540, 993970753, 568625681, 408578587, 147965115, 70345648, 558106172, ( -1), ( -1), 81890950, ( -1), 591634969, 139647407, 568247243, ( -1), ( -1), 891023368, 161780028, ( -1), 209881067, ( -1), ( -1), 103160296, ( -1), 175312907, ( -1), 36592568, 986188671, 50492766, 496395286, ( -1), 240089523, ( -1), ( -1), 200470267, 28948863, 666731702, 95024255, 906066626, 283175969, 958502610, ( -1), 753633127, 133175244, 6130209, 394313124, 127189943, ( -1), ( -1), ( -1), 921866974, 815374129, 666543703, 118227211, ( -1), ( -1), ( -1), 816546626, 802071806, 617896955, ( -1), 391020514, 247276987, 827988513, ( -1), ( -1), 672068646, 522814259, 964734782, 906254820, ( -1), 672716825, 213472378, 833362538, 515536866, 75906980, ( -1), ( -1), 768945390, 14213831, ( -1), 638738481, 631720095, 937080076, 817529953, 744303592, 586668866, ( -1), ( -1), 847517087, ( -1), 142074984, 32573925, 807095569, ( -1), 226719911, 832554879, 799499460, ( -1), 467039820, ( -1), 644278113, 389060360, 197715317, 102765476, 341446195, 716034694, ( -1), 88675824, 256398207, 42492946, 452410684, ( -1), 216443294, ( -1), 412733881, 553654986, 35863234, ( -1), 930599368, ( -1), 610391401, 784696633, 687856295, 263144585, ( -1), 404197568, 896418949, 688685061, 371207310, 790308241, ( -1), 382078443, ( -1), 679738269, ( -1), 184587205, 806754967, 295882298, ( -1), 938784949, ( -1), 31702553, 641331823, 588657050, ( -1), 841331433, 414501986, ( -1), 114404114, 649898241, 734616366, ( -1), 349978886, 785802945, ( -1), 161756890, ( -1), ( -1), 620386713, 63660717, 540322212, 149297253, 618151697, 151275244, 637450344, 655299605, 139180604, ( -1), ( -1), ( -1), 545392306, 231933692, 711870592, 360237724, ( -1), 703717179, 464972924, 944472239, ( -1), 174179959, 762136910, 392175739, ( -1), 418543145, 934778468, 877736927, 241258167, ( -1), 517836612, ( -1), 935522627, 750260712, ( -1), 471990795, 847524062, 406310751, 182642139, 302068929, 531772527, 94531899, 349250979, 267109614, 62465327, 949598089, 116118368, 462020526, ( -1), ( -1), ( -1), 52296368, 460385128, 699815712, 487046270, 259398228, 634022460, ( -1), ( -1), 521536643, 479305295, 856158562, 358336490, 175520096, 13410992, 842355520, 439587676, ( -1), 675238982, 985799017, 881956690, ( -1), 224800569, 547699900, ( -1), 465982028, 236815573, 896627043, ( -1), ( -1), ( -1), 582487357, ( -1), 201993645, 912445785, ( -1), ( -1), 875611406, 203522439, ( -1), ( -1), 163231463, 297910357, 710690056, 759863971, 877306278, 313491608, ( -1), 493834876, 17877629, 32090329, 907157684, 229231232, ( -1), 879817376, 301462481, 173343766, 394490467, 323117685, ( -1), ( -1), 858206581, 391765235, ( -1), 598512739, 522059662, ( -1), 597828567, ( -1), 863530684, 874636338, ( -1), 66618912, ( -1), 901799562, 212028900, ( -1), 706273963, 959068801, 573415743, ( -1), 11161579, ( -1), ( -1), ( -1), ( -1), 799205838, 142639191, 853921191, ( -1), 489493563, 258649417, 308895465, ( -1), 619969639, ( -1), 817298549, 3823086, ( -1), 74145207, 850326565, 875401363, 629927273, 166845663, ( -1), 307206289, 80045252, 463152651, ( -1), ( -1), 435189989, ( -1), 433025289, ( -1), ( -1), 213068858, 802654238, 617021209, 620675887, 788022903, ( -1), 958003313, 625282910, ( -1), 413757068, 710253299, 192938441, ( -1), 962416594, ( -1), 738766351, 397889377, 975723641, 335532647, 984877764, ( -1), 227529672, 30565319, 657863317, 52500798, ( -1), 63362477, ( -1), 960836637, 726456950, 550058, 569066337, ( -1), ( -1), 865033127, ( -1), ( -1), 627673417, 861873969, ( -1), 40614969, ( -1), ( -1), ( -1), 389853429, ( -1), ( -1), 34527254, 470982370, 547333859, ( -1), 696568646, 80188229, 667807587, 860693703, 426332515, 770498756, 14274655, ( -1), 79519246, ( -1), 300884271, 381469161, 311184699, 330687788, 673508732, 909388074, 680582570, 85691677, 654435734, 566858328, ( -1), ( -1), 935227541, 112528705, 208192176, 15423039, 753059601, 864346288, 686495930, 59951192, 102756689, 898466460, ( -1), 813168548, 480389195, 792301183, 944753901, 734415018, ( -1), 242249451, 465750947, 186087362, ( -1), ( -1), ( -1), 177922173, 27689112, ( -1), 537456257, 525082440, 630558026, 640677688, 898680877, ( -1), ( -1), 603045860, 288058736, 814518183, 578389305, 300591333, 676715476, 813263766, 646882134, 343243631, 655043929, 300844956, 73409956, 406296355, ( -1), ( -1), 468566540, 302847297, 625528967, 85850427, 878631463, 273765798, 645086630, 476771633, 85845661, 968966696, ( -1), ( -1), 401081788, ( -1), 810522238, ( -1), ( -1), ( -1), 570736120, 347506051, 293370165, 558902783, 724783448, 387282575, 449475222, ( -1), 91373361, 516361775, ( -1), 280643534, ( -1), 8765513, 525512016, 360998523, 549961383, 255970717, 379946409, ( -1), ( -1), 664355251, 286094168, ( -1), ( -1), 593649335, ( -1), ( -1), 926987438, 785244470, 2128795, 158666258, ( -1), 616029541, 453791474, 51778586, 972121001, 616653379, 428754022, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 835865871, 577169171, 572480372, 573494854, 173675336, ( -1), ( -1), 288638009, 813414341, 472113284, ( -1), 129993787, 197553796, 667013074, 323289395, 891212843, 448013357, ( -1), 593318780, 74091509, 951105421, 760370656, 235262297, 565391076, 552027661, 286369600, 733071096, ( -1), 140477689, ( -1), 839405388, ( -1), 714034299, ( -1), 258221439, 520599228, ( -1), 447893133, 1829793, 679529544, 928184808, ( -1), ( -1), ( -1), ( -1), 564678286, ( -1), 377812334, 307341953, 37797782, 227997377, 314843294, 254383722, 49037225, ( -1), 550556260, 767576017, 111210097, ( -1), 849678319, 752142106, 64846485, 466447567, ( -1), 591049476, 458765739, ( -1), ( -1), 457690602, 801209762, 834320275, 847664135, 659255175, 531427870, 78672199, ( -1), 282698339, 985080082, 953438956, 78466174, ( -1), 303524798, 784735533, ( -1), 411880048, 851109705, 321153236, 274642428, 396369656, 759860572, ( -1), 261782119, 673928651, 803993330, ( -1), 388191326, ( -1), 733411073, ( -1), 306581920, 296630888, ( -1), 975687661, ( -1), 488875455, 18018926, 875887286, 404690727, ( -1), 457677696, 749731792, ( -1), 760168231, ( -1), 151726021, ( -1), 448691084, 491795485, 771927671, ( -1), ( -1), 626651976, 243177443, ( -1), 647019986, 186925080, 504739666, 224894364, ( -1), 216103355, 2739388, 742236082, ( -1), ( -1), 562353760, ( -1), ( -1), 521809199, 561673512, 541222801, 683148022, ( -1), ( -1), 905343073, 181738365, 349371953, 878767660, ( -1), 492972567, 165888876, 562201760, 48667267, ( -1), 791122757, ( -1), 387683109, 914941931, 944547601, 384818330, 160479891, 910180218, 623973959, 956319773, ( -1), 509165872, 613833012, 101937103, 308609656, ( -1), 425967901, ( -1), ( -1), ( -1), 249747325, 133183098, 216462989, 878976219, 946922729, ( -1), ( -1), 867535214, ( -1), 239251151, ( -1), ( -1), 137667072, ( -1), 731211042, ( -1), ( -1), ( -1), ( -1), 984285077, ( -1), ( -1), 620034683, 691454389, ( -1), 899883047, ( -1), 679168261, 989560556, ( -1), 820911140, 90679719, 217685716, 395622501, 807568823, 846828443, 452841790, 321288719, 919100679, 126738515, 707894375, 355566796, ( -1), ( -1), ( -1), 160613219, ( -1), ( -1), ( -1), 515590045, 456645423, 148003688, ( -1), ( -1), 24238279, 715987819, 810294465, 717409663, 172234230, 28769709, ( -1), 344384641, 235051435, 708108759, 855263654, 1702054, 671688582, 88252003, 603564783, 339577225, 676852436, ( -1), ( -1), 227989544, 390050780, 115938050, ( -1), 469318635, ( -1), 539785107, ( -1), 964188119, 982882085, 976326626, 891775788, ( -1), 161510320, ( -1), ( -1), 472552034, ( -1), 630004983, 601248203, 379695783, 579156573, 119740677, 368927902, 339520897, 291366763, 642935180, 928239850, 807031871, 483080337, 746312563, 256286455, 615720354, 593303831, 192329279, ( -1), 201168747, 867859958, 347922951, 219990453, 907459487, 40065075, ( -1), ( -1), 947126711, 7245657, 869499359, 95826867, 21527368, ( -1), 389389869, 746056649, 763658998, 81169798, 143469442, 892033008, 545370349, ( -1), 496061789, 490321978, 238977953, 581471793, 827880791, ( -1), 83634167, 463104428, ( -1), ( -1), 896817493, 325976854, 422349204, ( -1), 739921314, 117553136, 387672482, 111548575, ( -1), 681285376, 721507229, 313884943, 222190559, 192734519, 315348047, 879059296, 990740397, ( -1), 139514018, 382610000, ( -1), 407145684, 451083450, 999868282, 670754213, 560588287, ( -1), 860047303, 924273781, 848584088, 996281311, 615782732, ( -1), ( -1), 523569792, ( -1), 728950378, 193029645, 814526683, 350959965, ( -1), 308722462, ( -1), 740828858, 202309679, ( -1), ( -1), ( -1), ( -1), 839472837, 934994203, 148450070, 753267936, 995244092, 741459967, 460212652, ( -1), 691526208, ( -1), ( -1), 418867060, ( -1), 224667662, 38901709, 889855551, 600326147, ( -1), 479850156, 822975716, 953663162, 140292830, ( -1), 831014844, 69203058, ( -1), 599794366, 894118721, 719931855, 976773487, 947562989, 454588986, 387864607, 956264378, ( -1), 532141977, 156698741, ( -1), 63408501, 293417146, ( -1), ( -1), 487016912, 282255741, 511875524, 195088890, 793484692, ( -1), 638998651, ( -1), 303263697, 572426851, 91466904, ( -1), 337882476, 272749289, 126154017, ( -1), 160437091, ( -1), 666988709, ( -1), 265034867, 576282380, 636213031, ( -1), 840066662, 773555612, 182056126, ( -1), ( -1), ( -1), ( -1), 695720425, 335267274, 563808976, 78715536, 631895882, 441019559, 48568352, ( -1), 6532281, 49720801, 898718135, 322454931, 253941925, 531473225, ( -1), 489368038, 501050854, 474597651, ( -1), 501987021, ( -1), 250202592, 697925998, 623615297, 23268058, 806702671, ( -1), 56210074, 348398042, 919872527, ( -1), 343868629, 210722721, ( -1), 749138383, ( -1), ( -1), 342763764, ( -1), 866132251, ( -1), 761088010, 714476463, 596193379, ( -1), 782859509, 138513883, 528492273, 630199387, 37259731, 20024161, 989699430, ( -1), 317652052, 737909164, 639333911, 872438231, 735832066, ( -1), 312134210, 647837369, ( -1), 646475565, 227904653, ( -1), 98765466, ( -1), 791916756, ( -1), 810252320, 416760543, 206357032, ( -1), 89741903, ( -1), 683815032, 33891884, 917249756, 149314168, 252028505, 572860547, 349585039, ( -1), ( -1), ( -1), ( -1), ( -1), 850815233, ( -1), 966608918, 939125301, 502122453, ( -1), 411823409, 647187791, 98521483, ( -1), ( -1), 622988555, 52874318, 780958178, 156927858, ( -1), ( -1), 22706328, 173391273, 172535502, 138715757, ( -1), 198190139, ( -1), 642855158, ( -1), 541228788, ( -1), ( -1), 151308692, 473570063, ( -1), ( -1), 517970553, ( -1), 211156204, ( -1), 341048161, 784293114, 325033600, 277744644, 92812850, 518616732, ( -1), ( -1), 854062482, 405023714, ( -1), 94185693, ( -1), 351301532, 382037780, 529067431, 427519790, 350186810, 765300494, 170364317, 112873816, 688056885, 9569532, 597299441, 454878695, ( -1), 678848011, 889151921, ( -1), 281092802, 844091599, ( -1), 219473522, 551998450, 855336292, 749117509, 842645520, 303706411, 330447439, 346319999, 193158848, 311145539, 322369963, 593689758, 71024638, 315592484, ( -1), 348284007, 965730952, 909259436, ( -1), ( -1), ( -1), ( -1), ( -1), 97546343, ( -1), 640218683, ( -1), 746582784, ( -1), 583769939, ( -1), 658498339, ( -1), 275360904, ( -1), 41509960, 54697533, 206718748, ( -1), ( -1), 101658253, 391003201, 163517001, 587860266, 201113042, 366572467, ( -1), 271659603, ( -1), 42175489, 986544307, 128251106, 960974893, 992699065, 197042595, 26272303, 999405263, ( -1), 92041435, 850151249, 405582899, 473122146, 171721987, ( -1), ( -1), 618040285, 652168065, ( -1), ( -1), 709567934, 200863654, 747426813, ( -1), 86426920, 842117047, 833563910, ( -1), 521437798, 639019033, ( -1), 281586834, 58484053, 919473841, 700082485, ( -1), 94290407, 243560457, 806070483, ( -1), 155117581, 850466099, 587796450, 351368429, 285933249, 314143327, 77871409, 318755827, ( -1), 297372146, 238653487, 716757786, 475973056, 78026097, 284680097, 898291460, 679516371, 45373612, 675341050, 256927401, ( -1), 941074365, 164300126, 420201052, 398953999, ( -1), ( -1), 877413800, 470106810, 723718870, ( -1), ( -1), 64804611, 63183201, 732713237, 723109991, ( -1), ( -1), 974834086, 252503183, 831231391, 60170048, ( -1), 772988313, 956066043, 617983896, 200550436, ( -1), 524247071, 526995019, 839786797, ( -1), 905177045, ( -1), 670061765, 442494963, ( -1), 972156092, 176617803, 466877343, 438750526, ( -1), 451706080, ( -1), 623008130, 598039067, ( -1), ( -1), ( -1), 31158828, 951390093, 234550411, ( -1), 529725199, 596951245, 252928736, ( -1), 255891155, 11680465, 47127618, ( -1), ( -1), 820041726, 604874895, 526173377, ( -1), 586322851, 983456142, 971817770, 103379439, ( -1), 804583127, ( -1), 420506565, 591996958, 105788516, 504371974, 337208717, ( -1), 495314257, 264084894, ( -1), 28917763, ( -1), 207644733, 494090911, 857126264, 242398922, 266407295, ( -1), 242791832, ( -1), 591406765, 275870299, 490425978, 361968103, 738152436, ( -1), 494517974, 203346343, ( -1), 105964460, 665770587, 61566037, ( -1), 298213945, 165113045, 790015568, 516820830, 746038284, 542395454, 44961404, 811505958, 902337959, ( -1), 89822259, 227283094, 379859725, ( -1), 209213120, 192621271, 270028855, ( -1), ( -1), 448815442, 837002845, 561951080, 295404037, 375914073, 824058145, ( -1), ( -1), ( -1), ( -1), 52411996, 978636709, 86222082, 701238758, 255507676, 103239796, 860554157, 2771544, ( -1), ( -1), ( -1), 910608193, ( -1), 848195624, ( -1), ( -1), 643290377, ( -1), ( -1), 649077272, ( -1), ( -1), 415404085, ( -1), 220682237, ( -1), ( -1), 498502268, 463976341, 138418544, ( -1), 149342100, 72059756, 482884422, 451138608, ( -1), ( -1), 597982347, 614963457, 733103993, 719721910, 771708504, 316235130, 312780802, ( -1), 523094324, 737228492, ( -1), ( -1), 760279091, 265341207, 495841278, 352619699, 594965654, 228539448, ( -1), ( -1), 995429623, 153335291, 155018410, 724281064, 607601617, ( -1), 236237739, 391248682, 360317643, ( -1), 472479889, 244249831, 36136394, 613329804, 105260986, ( -1), ( -1), 127606332, ( -1), 329240445, 468398909, ( -1), 480091875, ( -1), 850102968, 391535033, 131967126, ( -1), 856007174, 748526425, ( -1), ( -1), 347702281, 371731475, 943825552, 371965351, 640935363, ( -1), 354866969, ( -1), ( -1), 727490446, 837694291, 926777328, 334731747, 330593028, 314584948, 752434459, 115655810, 152327301, ( -1), 930387860, ( -1), 318866054, 752929272, 470427829, 431753961, 452903449, 653901006, 958802932, ( -1), 572726116, 189870646, 69576041, 350254725, 462803436, 744326090, ( -1), 633011240, 78477150, 468720329, 860864297, ( -1), 519112608, ( -1), 366081838, 778252664, 840105609, 482200849, ( -1), 182903359, 520784514, 752889767, 177885619, 88106798, 63842523, 165015236, 397019097, 974240021, 448691382, 666862449, 506941535, ( -1), 80269167, 875546693, 762846807, 355320541, 220375784, 458559991, 190603466, ( -1), ( -1), 642101292, 821616498, ( -1), 647157693, 478646710, ( -1), ( -1), 665537562, 235669342, 345056198, 429221264, 12876228, 150894834, 272325664, 695576548, 306164318, ( -1), 56142012, ( -1), ( -1), 798759345, ( -1), 180952552, 22977064, 825935826, 721398090, 166380501, 303969701, 177020610, 902434055, 685442240, 493891376, 179765928, ( -1), 32053442, ( -1), 288512212, 482364446, 755111576, 801424550, 879660574, ( -1), 401557202, 315693705, ( -1), 962914036, 166416349, 108150928, 504281139, 958670992, 573535557, 202546452, 962929025, 742941101, ( -1), 58065961, ( -1), 60082791, ( -1), 963185598, 206585090, 218821796, 437041123, 833473108, 923762878, 13570711, 389202594, 447776746, ( -1), 155648365, 693153034, 488016859, 496505707, 330869415, 49396675, 207221579, 530165158, ( -1), ( -1), 828021228, ( -1), 124113897, 96768502, 981787087, ( -1), 49361690, 114158358, 770172489, 570533374, 624560069, 110968502, ( -1), 944605025, 273843398, 580520040, 359702685, ( -1), ( -1), 200752485, ( -1), 736900254, 588410294, 824298711, 780093968, 172630078, 407490386, 280905172, 43827600, 757437383, ( -1), 648188511, 351017556, 913151030, 711228248, 65215129, ( -1), 698037669, 718914053, 657936292, 282087103, 118485359, 414863027, 564578620, 740656932, ( -1), 803865330, ( -1), ( -1), 295961927, ( -1), ( -1), 807469997, 855386379, 502401567, 272738915, ( -1), 145528994, ( -1), 356329107, 578468828, 488429805, 590172171, 212274894, 954701035, ( -1), 677384282, ( -1), 777705145, 439724614, 698348716, 90148113, 996476301, 427082068, 993035790, 831059008, 494088389, ( -1), 65822571, ( -1), 555243622, 624794276, 145367027, 407678607, 241150919, 144077981, ( -1), ( -1), 425572278, 19453882, 516598294, ( -1), ( -1), 135049071, 213300175, ( -1), ( -1), ( -1), 236115112, 448215200, 146772511, 548676442, 874990143, 922537574, 710610586, 752568386, 294105757, 486948220, ( -1), ( -1), ( -1), 162753545, ( -1), 814067541, ( -1), 906408675, 503664565, 293241580, 745856381, 592427081, 695496469, ( -1), 747536653, 606426435, 219618278, 538120529, 500247161, 359735889, 447687376, 374764402, 22166069, ( -1), 853456509, ( -1), 156142896, 203198929, ( -1), 509417462, ( -1), 805288276, 197980650, ( -1), 338533347, 737696620, 586700020, 477145088, 386783382, 359533397, 595854225, ( -1), 469761690, ( -1), 767135182, 566953600, 396970178, 249339594, 206627418, 752026635, 772640458, 640568424, 192087992, 622056274, ( -1), 345991036, 153591322, 490619014, 928079091, 59011106, 634018558, 280765844, ( -1), 901441915, 536362780, ( -1), 739041843, 121330606, 722390064, 526916341, 908408472, 221438150, 656190421, 97049442, 447801914, ( -1), 386615808, ( -1), 188589708, 910893391, 420174889, 551345101, 681582343, 590312754, 622338113, ( -1), 24086487, 142243607, 396610536, 996147627, ( -1), 147375673, ( -1), ( -1), 788746073, 347539086, ( -1), 634718825, 290398516, 975036328, ( -1), 668009035, 596669879, 743621199, ( -1), ( -1), 751651387, ( -1), ( -1), 800727211, ( -1), ( -1), 506904773, 38091053, 930626038, ( -1), ( -1), 695207219, 980710999, ( -1), 452321797, 468012737, 739289879, 976210829, ( -1), ( -1), 590500505, 217329419, 666321826, ( -1), 906193475, ( -1), 711929758, ( -1), 758364670, ( -1), ( -1), 495925000, ( -1), 235933473, ( -1), 701074031, ( -1), 106054354, 740518287, 170214739, 356767031, 610456665, 534006980, 295871239, 101624201, 787892635, 259058513, 679314379, 626192959, 679031374, 467668239, 38156135, 824526702, ( -1), 187549098, 539111161, 44401795, ( -1), 223746552, 412848370, 352931602, 472776957, 308289208, 163540486, 899840012, 180571946, 29210100, 229516423, 474842520, 874053793, 108165642, 612806137, ( -1), 823887223, 116393736, 71012871, ( -1), ( -1), 155648340, 490113937, 946467854, 133894209, ( -1), 166521980, 831676921, 198513275, 77641355, 973089362, ( -1), 270900680, 307563339, 180712858, 618190680, 415405378, ( -1), 738218517, 809992093, 296627886, 980681997, 146217823, 497743852, 465366668, 118242823, 478579237, ( -1), 761883038, 190981367, 248151044, ( -1), 908764649, 560517777, ( -1), 816911990, ( -1), ( -1), 398241920, 611390715, 656090883, 490965143, 510001296, ( -1), 153306533, 248101125, 287451236, 732156995, 351042519, 997530575, 925591167, 326541318, ( -1), 164571669, ( -1), 265761252, 840445185, ( -1), 966160106, 372595059, 876183818, 625291539, 986531057, ( -1), ( -1), 807751868, 91514285, 693661017, 109823599, ( -1), 65531684, 803265417, ( -1), 450310906, 817222222, ( -1), ( -1), 693098197, 48321389, ( -1), 120090125, 964055055, ( -1), ( -1), 776527064, ( -1), 620390759, 5683759, ( -1), 782924104, 505229266, 210868461, 581388103, 773655585, ( -1), 226816456, ( -1), 994520706, 166225987, 441306478, 373221027, ( -1), ( -1), 620337469, 141805262, ( -1), 577126473, ( -1), ( -1), ( -1), ( -1), 161885159, ( -1), 413607961, 327693750, ( -1), 400740257, ( -1), 475293284, 478337836, 930206477, 167037064, ( -1), 652485440, 496476076, 873834875, 623044471, ( -1), 237746461, 798022025, 699238372, ( -1), 760764909, 441157689, 945620494, ( -1), 97100501, 871971356, ( -1), 417901789, 533801821, ( -1), ( -1), ( -1), 251975025, ( -1), ( -1), ( -1), 691381165, ( -1), ( -1), 101115929, ( -1), 103719239, ( -1), 777553920, 881776593, 704343609, 607874360, 386612050, 656046933, 914137613, 952358161, 466382307, 436356850, 4455551, 681885410, 157929684, 208990940, 539199441, 185969529, 952313568, 492979226, 704491822, 449430409, 844034800, ( -1), 394439547, ( -1), ( -1), 722883762, 770373117, 185287229, ( -1), 568029465, 722054758, 292032876, 447300376, ( -1), ( -1), ( -1), 170108047, 292255561, ( -1), 649597928, 787865103, 74181817, 250145478, 130837085, 374919676, ( -1), 967952599, 14398901, 223211747, 702589705, 564148310, 488704292, ( -1), 884231954, 633780435, 179536688, 299596304, 188278184, ( -1), 767655815, 753903811, 868554730, 749966344, ( -1), 58941378, 918054506, 625303124, ( -1), ( -1), ( -1), ( -1), 292948612, 603307735, ( -1), 367733350, 450709587, ( -1), 935722141, 154649721, 291491519, ( -1), 339101159, ( -1), 200400615, 472434024, 544484562, 215596403, 878567591, 777667951, ( -1), 438169006, 463752767, ( -1), ( -1), 764108357, 790774765, 30576915, ( -1), 693770563, 168742209, 154208823, ( -1), ( -1), 212310676, ( -1), 997615022, 365982674, 237871916, 872802761, 829887892, 887213050, ( -1), 410188261, ( -1), 983545864, ( -1), 394180163, 254409724, ( -1), 767326310, ( -1), ( -1), 241659564, ( -1), 212649934, 185347022, ( -1), 951022792, 758831228, 401560597, 984904395, ( -1), 604750310, 259085204, 747222125, 562940522, 229042543, 322888708, 186687668, 603570266, 776314773, 63833197, ( -1), 632339816, 190696042, 292913255, 974575327, ( -1), 377260599, 477948810, 435553055, 495562391, 265992381, 399290268, 982981124, 53149664, 815822795, 456095531, ( -1), 475890220, ( -1), 832944029, 327333043, 861736050, 459702103, ( -1), ( -1), ( -1), 190245570, 63240047, 46781210, 898744560, 646507401, ( -1), 513104900, ( -1), 758578667, ( -1), 58846012, ( -1), 300014288, 52913186, ( -1), 903117378, ( -1), 952402594, 437269932, 256110358, 153787430, ( -1), ( -1), 394715807, ( -1), 899117255, ( -1), 173859726, 263932999, ( -1), 646495949, ( -1), 545481066, 30562154, 985659948, ( -1), 782423273, 253628549, ( -1), ( -1), ( -1), 842436859, 468644339, 235554897, 298353950, 323860760, 742577806, ( -1), ( -1), 820316113, ( -1), 986467206, 567321849, 555568697, 229920476, 374788994, 757188699, ( -1), 661181530, ( -1), 397858696, 182265489, 517892855, 485082431, 752412230, 488420931, ( -1), 721665644, 704669081, 647865279, 440063096, ( -1), 566461481, 135542574, ( -1), 532628981, 636313672, ( -1), ( -1), 426649715, 154270867, 86865836, 130494470, 184238899, 12540049, 403850379, 224982059, 486916751, ( -1), ( -1), 481103834, 940236906, 477967719, 595917427, 935966367, 275154248, 758579839, 548199489, 236092100, 638561410, ( -1), 675078306, 800968824, 480916932, 579038230, 379900248, 45166206, 195369983, ( -1), ( -1), 464163727, 443143545, 56104932, 756309853, 796371128, 561281667, 541358461, 276489860, 287025628, 79068860, 992117507, ( -1), ( -1), ( -1), 981488710, 793192954, 886934931, 965503341, 115536410, 360778672, 428820365, ( -1), 155317129, 36002737, 813831955, 276100196, ( -1), 672455911, 714887252, 809328688, 987261291, ( -1), 58287306, ( -1), 557330897, 366087712, 737882538, ( -1), 739854769, ( -1), 476022400, 129632622, 806295096, 65772130, 227677326, ( -1), 72104368, 884481817, ( -1), 660403603, 13332756, 169874430, 628609247, 819933884, 351355958, 976804824, 1913094, 607358172, 812871088, ( -1), 387843811, 672369687, 837320734, 828771776, ( -1), 42951090, 58933708, 283757526, ( -1), 762554198, 122726717, 479395752, 526217382, 862674591, 754940283, 130742130, 961646494, ( -1), 255507369, 277881028, 593678935, ( -1), ( -1), 486015428, ( -1), ( -1), 208914831, ( -1), 325367878, ( -1), 222667776, ( -1), ( -1), 153738496, 548964755, 681690707, ( -1), 144307238, ( -1), 958167303, 310531488, 196044283, 561056304, 610133661, 755887946, ( -1), ( -1), 774856178, ( -1), 774607201, 581819181, 367061918, 348692575, 837831218, ( -1), 33773070, 323721396, ( -1), 684149058, ( -1), 853181871, 428898768, 947702057, ( -1), 624558003, ( -1), 1535644, 238025782, ( -1), 265771584, 862835582, ( -1), 634580367, 699185061, ( -1), 419662429, 73825465, 84062617, 278604322, 376846576, ( -1), 218161421, 607676390, ( -1), 334774873, 6339033, ( -1), 665113974, 809044833, ( -1), ( -1), 49308752, 122929259, ( -1), 612471022, 883634156, 954414557, 289633480, ( -1), ( -1), 936569915, 709945779, 93923692, ( -1), 468816954, ( -1), 75356083, 783018269, 685682932, 703007545, 363691427, 777958501, 525812043, ( -1), ( -1), 715338623, 148713968, ( -1), 144185800, 63449106, 520137892, 919027597, ( -1), 775441161, ( -1), 221565985, 783355232, 913521170, 694095141, 618200987, 773975890, 894071055, 132956675, 287939580, ( -1), 865857416, 263511446, ( -1), ( -1), ( -1), 534121102, 697836166, 912836495, 305674383, ( -1), 528041729, 681120394, ( -1), 28634415, ( -1), ( -1), 430391102, 479628112, ( -1), ( -1), ( -1), 572124339, 773081413, 722564536, ( -1), 914987376, ( -1), 80997081, 160137489, 514969977, 550198177, 646143367, 878914079, 994554335, 655838055, 681629032, ( -1), 668529541, 220516789, 733172429, ( -1), ( -1), ( -1), ( -1), 682332516, 791110173, 879841827, ( -1), ( -1), 10691657, ( -1), ( -1), 710636803, 472461526, 599614164, 532829665, 8311166, 531521974, ( -1), 844073214, 59796993, 888837042, 808633834, ( -1), 559593995, 430722680, 803606285, 856953044, 672249644, 44687768, 35095659, ( -1), 216069349, 670962623, 470018854, 158805542, 104163860, 238869948, ( -1), 568417394, 527164242, 546991992, ( -1), 513622069, ( -1), 444021218, 48505218, 793239844, 291726548, 338080338, 57985811, ( -1), 746610633, 266961402, 199119291, 724946227, ( -1), 522197873, 74469051, ( -1), ( -1), 674465290, 589509197, ( -1), 858970737, 711951465, 496604744, 181289750, ( -1), 874920014, 486089322, 792703343, ( -1), ( -1), 294893078, 577980774, 560062218, 513133258, ( -1), ( -1), 379684850, ( -1), 910171153, ( -1), 737370892, ( -1), ( -1), ( -1), ( -1), ( -1), 470643038, 84506774, 13011219, ( -1), ( -1), 600142171, 147036684, 12753352, 391383991, 44048541, 795129444, ( -1), ( -1), ( -1), 599064629, 339580694, 505375115, ( -1), 68731601, 365956130, 485863210, 303774944, 591897153, 718546461, 68330986, 105981635, ( -1), 183971865, 235551103, 886891586, 88295079, ( -1), ( -1), ( -1), 707541106, 640871203, 948241710, ( -1), ( -1), 340413943, ( -1), ( -1), ( -1), 674029863, 952416284, ( -1), 837653307, 286522358, 972261745, 703305498, ( -1), ( -1), 160691810, 246290273, ( -1), 857155725, 941337195, 691366296, 669421782, 247453143, ( -1), 313422793, ( -1), 375889103, ( -1), 2798973, 906654723, ( -1), 168368590, 326498909, 941099286, 276034475, 243570883, 870996442, 559903824, ( -1), 373179651, 243680176, 496539541, ( -1), 210665937, 376728879, 498216782, ( -1), 319604562, ( -1), 997838067, 830346509, 44315940, 649075121, 703374220, 549969973, 919085720, 204446840, 211705133, 792341855, ( -1), 154063621, ( -1), 874111707, 28039144, 246472064, 717609822, 611048892, 194094061, 173438407, 809461632, 489371841, 387541540, ( -1), ( -1), 799992132, 260582095, 953922091, 994916245, 424645892, 727502364, 527449358, ( -1), 874233453, ( -1), 682271167, 85605127, 190993404, ( -1), 172353022, ( -1), 770337060, 471459864, 38069803, 589613169, 714084069, 34740298, 910755113, 815646416, 91839249, ( -1), ( -1), ( -1), 449405880, ( -1), ( -1), 308180086, ( -1), 450067264, ( -1), ( -1), 420792201, 84302209, ( -1), 539239274, ( -1), ( -1), 553945402, ( -1), 485464766, 663203999, 137609313, 776026306, 855171537, ( -1), 563643869, 531025319, ( -1), 338105980, 205179891, 838099516, 394864636, 834083460, 155982755, ( -1), 587470289, ( -1), 514519126, ( -1), 852490651, 97624728, 843779720, ( -1), 713115680, 570305367, 858028543, ( -1), ( -1), ( -1), ( -1), 424224951, 496584527, 253123460, ( -1), ( -1), 563575609, 86601518, ( -1), 461156924, 967191899, 472081117, 568705699, 924601014, 245753825, 935908852, ( -1), 436663871, 735990371, 501051817, ( -1), ( -1), 86454011, 422091212, 309255967, 100031935, ( -1), 62677839, 804518866, 37959984, 213432755, 617843507, 431687482, ( -1), 644036257, ( -1), 851629957, 899166620, 72736091, ( -1), 421837262, 868178236, 199462642, 573779845, 872581812, 528380459, ( -1), ( -1), 462647153, ( -1), ( -1), ( -1), 623771879, ( -1), ( -1), ( -1), 229599034, ( -1), 968899305, 76951064, ( -1), 779204872, ( -1), ( -1), 749939997, 290886260, ( -1), 175642543, ( -1), ( -1), 589682297, 190893074, 823542323, 340828576, 412760666, 499233315, 660123032, ( -1), ( -1), 946746923, 130074718, 270288224, ( -1), 602145683, 295362261, ( -1), ( -1), ( -1), ( -1), 412543489, 974261101, ( -1), 166766299, 458011427, 376667040, 583302955, 706955043, ( -1), 629558119, 810002863, ( -1), ( -1), 324600596, ( -1), 347372014, ( -1), 997997281, ( -1), 317974467, 26163449, ( -1), 848684479, ( -1), ( -1), ( -1), 796861837, ( -1), 304691534, ( -1), 490390538, ( -1), 731663090, ( -1), ( -1), 799273413, 591425968, 800554730, 985722353, 961424364, ( -1), 882168187, 106504994, ( -1), ( -1), ( -1), 440385665, 268307185, 598990831, ( -1), 560895759, ( -1), 663647023, ( -1), ( -1), 311642351, ( -1), 316629714, ( -1), 814240041, ( -1), 29638574, 820311352, 639665918, 26404480, 923119953, ( -1), 293366200, 780020054, 264611792, ( -1), 712100138, 535461708, 200019553, 810617933, 567535943, ( -1), ( -1), 319800892, 685853248, ( -1), 500776720, ( -1), 783654425, ( -1), 126966665, 236775409, 884769009, ( -1), 342779528, ( -1), ( -1), ( -1), ( -1), 463009791, 991674934, 217809154, ( -1), 615628135, 16583979, 475248411, ( -1), ( -1), 559690361, 757545396, ( -1), 231100053, 144741463, ( -1), 494285560, ( -1), 979359612, ( -1), 998867973, 674311201, ( -1), ( -1), ( -1), 662503728, 155468931, 354715025, ( -1), ( -1), 872597998, 826463529, ( -1), 871431255, ( -1), 144227085, ( -1), ( -1), 879069248, 999247175, ( -1), ( -1), 122372697, 449278826, ( -1), 585620999, 297120258, 741033382, 143298049, 939087371, 596548658, 821629872, 768919482, 826778122, 737718425, ( -1), 78823113, 505935583, 510027492, ( -1), 243254737, 468310332, 693379341, 347972871, 456335505, 810919262, 673038661, 278931274, ( -1), 781960776, 250708932, 967708672, ( -1), 229941038, 275744101, 896451336, ( -1), 798105140, 940035531, 550349909, ( -1), 719414191, ( -1), 318557072, ( -1), 102367652, 458398004, 206511021, ( -1), ( -1), ( -1), 774226372, 748466739, 368223013, ( -1), 148305144, ( -1), 363370009, 559282901, 841951585, ( -1), ( -1), 829615104, 622682760, 175980703, ( -1), 682235666, ( -1), ( -1), ( -1), 980284746, 394297102, ( -1), 395337618, 57620151, 304731218, ( -1), 227478439, 866889006, ( -1), 862862837, 805617539, 263035328, ( -1), ( -1), 885076152, 346003755, ( -1), 514952567, 277484262, 601997756, 457892342, 973504415, 467146562, 686515082, ( -1), ( -1), 156546632, 807381381, 759382368, 195704441, ( -1), 440467894, ( -1), 608073404, ( -1), 304894437, 108510272, ( -1), 358726030, 833076463, ( -1), 882987203, 765077534, 354776889, 620262879, ( -1), 875603990, ( -1), 550513657, ( -1), 830259667, 612846332, 841734949, 811825437, 813904687, 770286040, ( -1), ( -1), ( -1), 530814535, 418233939, ( -1), 691945210, 363238562, 455609549, 177020348, 45333924, 600813183, ( -1), ( -1), 348684158, 536347455, ( -1), 770735485, 986542709, ( -1), ( -1), 816811462, 875814800, ( -1), ( -1), ( -1), 172985519, 399735865, 568965186, 861739447, 486387278, ( -1), 685450731, ( -1), ( -1), ( -1), 808173542, ( -1), 102345444, ( -1), ( -1), 804849257, ( -1), 7892673, ( -1), 961496367, 140449522, 868607664, 607123391, ( -1), 16379988, ( -1), 130719012, 215545640, 572200945, 116747582, 231381240, ( -1), 124513993, 585242428, 397440512, 865414538, 594356386, 416106797, 377275273, ( -1), 888313382, 363587578, 641161717, 933161889, ( -1), 27087175, 459897195, 823416003, ( -1), 471662296, 575159459, 779159563, ( -1), ( -1), 827271867, ( -1), 371639999, 873424421, 643087381, 302454377, 760634570, 16492743, 402953608, 891493081, 356026416, ( -1), 453141365, 476630475, ( -1), ( -1), 622492018, ( -1), ( -1), 455849829, 653237126, 509549928, 32641303, ( -1), 657444594, ( -1), ( -1), ( -1), ( -1), 283494171, ( -1), 78795838, ( -1), 416179669, 627233733, ( -1), 346369469, ( -1), 733760931, ( -1), ( -1), 712182462, ( -1), 422714352, ( -1), 689432109, 852612184, 342035665, 860393890, 407712470, 90842698, 345861482, 184276619, ( -1), 515520378, 71600085, 354617489, ( -1), 512739665, 36777188, ( -1), 571504246, 780403424, 503321039, 637592873, ( -1), 256017937, ( -1), ( -1), 630316474, 624383535, 104750150, 856171428, ( -1), 471969554, 70052771, 58154114, 656988587, ( -1), ( -1), 532798128, ( -1), 963209528, 982683958, 678595365, 858023627, 736134861, ( -1), ( -1), 370969660, 695659340, 224906985, ( -1), 469533264, 269782307, ( -1), 450130515, 912008329, 693704790, 112689952, 327824577, 840784462, 821847911, 207139550, 514049152, ( -1), ( -1), 83323157, 319356903, ( -1), 385277583, 147646207, ( -1), ( -1), 271077596, ( -1), 402982566, 183009350, 704703302, 591293457, 182998797, 886344174, 678066083, 532316723, ( -1), 393474800, ( -1), ( -1), 470961623, 521435654, 378791816, 366953615, 138762002, 930122332, 456063106, ( -1), 21269422, ( -1), 221028919, 648426638, ( -1), 220807425, 605379871, 290191115, 213084132, 476476551, 735510835, 11874466, 506518944, ( -1), 823024738, 430500143, 989110570, 30853619, 315148986, 957978629, 796125571, 993577893, 954509855, ( -1), ( -1), 230432777, 57464564, 756320896, 928609622, 565715661, 557690485, 525866584, 638340634, 712018848, 245505621, ( -1), ( -1), 974380354, ( -1), ( -1), ( -1), ( -1), ( -1), 139484848, 782423523, ( -1), 258316652, ( -1), ( -1), 494292640, 699515773, 25895262, 405884222, 197760236, 651843766, 11027687, 230379003, ( -1), 476942170, 619531406, 416615271, 829584853, ( -1), 981002264, 853356222, 963615564, 198077674, ( -1), 540886468, ( -1), 205306919, ( -1), 173862850, ( -1), 446236125, 130635859, ( -1), 268924729, 912326328, 92269506, 228211609, 858545119, ( -1), 485126931, ( -1), 33215829, 141146267, 541453306, 472990926, 337290126, 136110244, ( -1), 147195019, 478977032, ( -1), ( -1), 66591675, ( -1), ( -1), 800535464, 386195826, 499528969, 817754406, 865319674, 518562113, ( -1), 319338510, 723803265, 724461891, ( -1), 859936270, 466683441, 418468014, ( -1), 507310860, 797998933, ( -1), 164698938, ( -1), ( -1), 284109648, 681175074, ( -1), ( -1), ( -1), 9945837, 125246499, 732124581, ( -1), 692895746, 531944869, ( -1), 708108478, 986881816, 688102184, 896922431, 662460047, 132650182, 106167079, 990731947, 22530656, 984751337, 917512011, 106559534, 313520738, 262046239, 792544332, ( -1), 77891669, 163265248, 833864306, ( -1), ( -1), 608967529, 255452910, ( -1), ( -1), 340338102, ( -1), 804037320, ( -1), ( -1), 635595778, ( -1), 258482705, 689316922, 270250005, ( -1), 532414091, 424287260, ( -1), 860267578, 524809078, 84825464, 212047018, 145905063, ( -1), 168313843, 79887248, 912826467, 473899771, 969768972, ( -1), 60660424, ( -1), 107712512, ( -1), 374762474, 691065536, ( -1), 717914344, 250414178, 25596731, 961841703, ( -1), 907084354, 168723952, 464536067, 641042184, 36774743, 792385168, ( -1), ( -1), 604406033, 364925792, 836555254, 462310390, 785964114, 829184643, 202819501, 185998539, 511927124, 231429764, 950435580, 626495810, ( -1), ( -1), 51075519, 335731441, ( -1), 486108298, ( -1), ( -1), 532096448, 11255946, ( -1), 872571419, 736375251, 664901495, 664427049, 968790483, 398000061, 248807095, 882464086, 12997624, ( -1), ( -1), 923745621, 222048195, 48230232, 944288168, 135780255, 653396839, ( -1), ( -1), ( -1), 580508631, 957567597, ( -1), 132551383, ( -1), 51690194, ( -1), 625767252, 496605783, 511078199, ( -1), 446675656, 27201212, 776616970, 81534487, ( -1), 22382713, ( -1), ( -1), 386678651, 95232247, 152648521, 132430381, ( -1), ( -1), 620983528, 825191801, ( -1), 318625927, 732629407, 242754867, 805080527, 682661576, 438540542, ( -1), 366309439, 39040640, 184054551, ( -1), 587233327, ( -1), 177042232, 618405636, ( -1), 953983151, 865030738, ( -1), 528283830, 260935557, 864966431, ( -1), 532488881, ( -1), 399762083, 481746873, 152956384, ( -1), 224950699, 552442246, ( -1), 569010605, 564367048, 607880376, 605969658, 943382288, 679672816, 262024968, 576416464, 804316823, 996185630, 431505364, 515088154, 572107120, ( -1), 75643024, 946427736, 446365718, 212063734, 881882282, 477818830, ( -1), ( -1), ( -1), 760526450, 677845659, 139400395, 585483967, 147231010, 252896605, 612364688, 574653000, 136910141, 195382496, 852679095, 495358033, 230074407, 572859188, 830634781, 666795725, 735748690, 615317418, 382911987, 820546474, 85859870, 294297153, ( -1), 102865598, ( -1), 673211214, ( -1), 935937853, ( -1), 567165958, 995801842, 170253938, 477754105, 450264607, ( -1), 681709337, 18810121, 733137826, 119350860, 982925166, 961108283, ( -1), 593228335, ( -1), 843391683, ( -1), 330469622, 360676246, 409059513, 319599441, 302444752, 508180909, 202329183, ( -1), ( -1), 878967424, 177842569, 533444450, ( -1), ( -1), ( -1), 631084845, 28265819, ( -1), ( -1), 960448465, ( -1), 348313616, 772008783, 681500286, 464401350, 460141641, 745018016, 891470163, ( -1), 361252866, 535508930, ( -1), 183214025, 89634265, ( -1), 273161679, ( -1), ( -1), 588831490, 833364669, 926240177, 250099331, 782730980, 67003401, 35433522, 518674988, 149362180, 502744419, ( -1), 349460640, 307164298, 498850145, ( -1), 84323632, 873159999, 407427242, 306717484, ( -1), 516432242, 868940553, 724066406, 427123999, 732068991, ( -1), ( -1), 234417633, 215881522, ( -1), 584486393, ( -1), 845003578, ( -1), ( -1), 520988200, ( -1), 994574790, 589232286, 156811458, 12106346, 514686849, 904211819, ( -1), 19750239, 505215218, 197633907, ( -1), 859024650, 113396347, 520391024, 590712357, ( -1), 858941782, ( -1), 816562450, 479373806, 456098083, ( -1), 791753919, 135869990, ( -1), ( -1), ( -1), 256665852, 485750204, 662727941, ( -1), 901139861, 276623533, ( -1), ( -1), ( -1), 572680617, 766386150, 412613027, 119513160, 90018412, ( -1), 297887293, 962305079, 714614051, 379424868, 45363783, 637616470, ( -1), ( -1), 942142225, 217608820, ( -1), 80876023, ( -1), ( -1), 692087891, 381636984, ( -1), ( -1), 322289000, ( -1), 699994467, 447291740, 108998193, 335960654, 790039499, 432433308, ( -1), 146439844, 767712490, 895569538, 371888384, 883469571, ( -1), 879255338, 113287280, 183802671, ( -1), ( -1), 500825027, 185915766, ( -1), 5569664, 96628456, 82789303, ( -1), 496072850, 830418804, 924972507, ( -1), 487489599, 500161528, 149185912, ( -1), 879437175, 539448279, ( -1), ( -1), 329397876, ( -1), 551765401, 699059770, 291474383, 867830008, ( -1), ( -1), 494420225, 624156399, 825206148, ( -1), 674258953, 919243789, ( -1), 796824803, 34878465, 848618926, 628778209, 478920596, 747302668, 734305675, ( -1), 45977242, 534768891, ( -1), 341202041, 223279463, ( -1), 400177628, ( -1), ( -1), 851310911, 966271826, 320815191, ( -1), 582213522, ( -1), ( -1), 591263261, ( -1), 561626991, 537977536, 551892147, 17776923, 383629979, 416834650, ( -1), 310158686, 865465206, ( -1), 213839031, 418761645, ( -1), ( -1), 974892320, ( -1), 921313829, 655407582, 213047159, 710854812, 644951520, 324745124, 588892017, 897295813, 293903111, 404752363, 536385801, 491550037, 627610555, 431402895, 302485935, ( -1), ( -1), 703543267, 282260786, ( -1), 846215558, 481787995, 32227839, 42537063, ( -1), ( -1), 973105753, 329476712, 806863615, ( -1), 519862759, 418676259, 511647284, ( -1), 955577133, 656130427, ( -1), 643064206, 487286547, ( -1), 738421781, 534214705, 335759187, 939105355, 584970070, 966262490, 938917492, 854781178, 466852911, ( -1), 423714509, ( -1), 13395118, ( -1), 879954615, 248727427, 708950959, ( -1), 744280838, ( -1), 161062426, ( -1), 987738209, 16617279, ( -1), 737061349, 728701206, ( -1), 748173512, ( -1), 990825591, 250254088, 860097308, 876010051, 376959207, 863821256, 757722503, 835956757, 292270412, 466436201, 381295074, 146689560, 359329460, 21509251, ( -1), ( -1), ( -1), 351471756, ( -1), 464525787, 717532381, 826300942, 4607837, 286710184, ( -1), ( -1), ( -1), 225589271, 404209103, 419923582, 942714108, 364898980, 376884828, 63364362, 972884352, 264140897, ( -1), 142634912, 599041412, 433581341, ( -1), 801386769, 940268556, 677966518, 593324632, 902402423, 914394357, 66890548, 344583617, 179570369, ( -1), 396902596, 269069156, 52303112, 555573495, ( -1), ( -1), 745960825, ( -1), ( -1), ( -1), ( -1), 141046416, 278934546, 683759993, ( -1), 769299019, 299977631, ( -1), 128554969, 472362464, ( -1), 607831091, 211960164, ( -1), 714256609, 786868256, ( -1), 690637810, 78668803, 457734490, ( -1), 784593657, ( -1), ( -1), 112583699, 637321256, 83005238, 992461775, 574417979, ( -1), 471994985, 281482888, 33693138, 42151912, 933140150, 567067342, 943961386, ( -1), ( -1), 699629248, 968600612, ( -1), 36959847, 737181698, ( -1), 137943976, 627644721, 849202737, ( -1), 430076489, 891367475, 876862060, ( -1), 259041794, 806859526, 315132458, 108280334, ( -1), ( -1), 625147129, 860569640, ( -1), ( -1), 963921771, 292428619, 655943565, ( -1), 759428179, 275555213, ( -1), ( -1), 687030471, 42622245, 536488939, 803558076, ( -1), 20571440, 146065527, ( -1), 683279771, 572489437, 593050639, 730304793, 133177692, 795879376, 238015410, 548109956, ( -1), 218773159, ( -1), ( -1), 624733672, ( -1), 158489497, 259103943, ( -1), 2705118, ( -1), ( -1), 210095545, 125624270, ( -1), 430412008, 968011927, 977870797, ( -1), 729677381, 979230505, 538487453, ( -1), 408006899, 810804241, 328734981, 257667092, 610945846, 246203855, 52514241, 708482688, 767924118, ( -1), 327748499, ( -1), 999296543, ( -1), ( -1), 333820268, ( -1), ( -1), 206716555, 82883303, 974283329, ( -1), 699424474, 245467570, ( -1), 66543467, 82490589, 61402538, ( -1), 913551626, ( -1), 599293406, ( -1), 744291877, 501866401, 72995178, 224449605, 388665168, ( -1), 62741609, 137145743, ( -1), ( -1), 271539727, ( -1), 708419149, ( -1), 556564990, 911088591, 952467978, 822564818, ( -1), 968852365, ( -1), ( -1), ( -1), 87702254, 240672140, 88588550, 602310024, 960507989, 972450569, 946462702, 883229182, 173315927, 242516281, 817279191, 232803060, 234965824, 449649255, 63020217, ( -1), 958256242, 882096883, 554140555, 772530598, ( -1), 306019240, 233449943, ( -1), 580363075, ( -1), ( -1), 488012935, 733551659, 379437498, 417050677, 1041496, 816987803, ( -1), 644076640, 245281664, 875942918, 228592410, ( -1), 104582499, ( -1), ( -1), 706596722, 440369106, 332779876, ( -1), 10220329, 963933668, 923471019, 972986504, 772192570, 518356995, ( -1), 621340698, 514061136, ( -1), ( -1), ( -1), ( -1), ( -1), 766246113, 441265614, 990067652, 536316780, 3928375, 150846544, ( -1), 466540023, ( -1), ( -1), ( -1), ( -1), 129678885, ( -1), 133551318, ( -1), 412845156, ( -1), 833099803, ( -1), 177767659, ( -1), 106583271, 599648445, 735941824, ( -1), ( -1), 558853107, 771745800, ( -1), 63390045, ( -1), 35445530, 793861705, ( -1), 767926706, 925416610, 605528270, 208447745, ( -1), 915899189, 131992227, 834368820, 667549877, ( -1), 976951536, 472554078, ( -1), 162675766, 130643171, ( -1), 691201982, ( -1), 697932510, 528003324, ( -1), ( -1), 83757696, ( -1), ( -1), 655546311, 316750762, 949060364, ( -1), ( -1), 636440847, 327342810, 304651169, 158211376, 749144015, 594675718, 305925294, 192159027, 100653227, 867902280, ( -1), 374783116, 215915211, 652394021, 710421734, ( -1), ( -1), ( -1), ( -1), ( -1), 195818084, ( -1), 531858113, 496199383, 282401703, 509571924, 823377301, 803501344, 836173733, 980037823, 419532265, 545957029, ( -1), 111729645, 850344447, ( -1), 268758416, ( -1), 299726001, 543957357, 810115209, ( -1), 322512255, 488819249, ( -1), 409329896, ( -1), 915113336, 336991995, ( -1), 705363304, ( -1), ( -1), 433168073, 264139639, ( -1), ( -1), 714937316, 764250677, 278918113, ( -1), ( -1), 22655815, ( -1), 205528776, 435966763, 510945785, 794291839, ( -1), 285989307, 658897811, 681470708, 94105704, 660260301, ( -1), 884170160, ( -1), 972221420, ( -1), 607129667, 18177520, 438086484, ( -1), 703128945, 255872992, 920357189, 857030412, 294300130, 653482047, ( -1), ( -1), 522813851, 754657958, 212888812, ( -1), 79493915, 786988075, 391840382, 564560155, 757905019, 969935521, ( -1), 276098882, 932459521, 422329223, ( -1), 821716941, 511173924, ( -1), 651966393, 47538223, 671210456, 516033595, ( -1), 461115716, 614674530, 221057143, ( -1), 207782827, ( -1), 674278463, 925211065, 345105170, ( -1), 821141900, 325299624, ( -1), ( -1), 806144362, ( -1), ( -1), ( -1), 658150884, ( -1), ( -1), 121658564, 664006544, ( -1), 553846373, 368795872, 139139905, 139570743, 858993930, ( -1), ( -1), ( -1), ( -1), 21761937, ( -1), 288818575, 661772971, 96677450, 659159544, 955832925, ( -1), ( -1), 299127508, ( -1), 991122705, 21000806, ( -1), 956840826, ( -1), 868319665, 377547152, ( -1), 80192004, 251551100, ( -1), 94334710, 252021998, ( -1), 377526121, 662478123, ( -1), 453674552, 561266740, 390305703, 332215283, 615108930, 475600460, 766066555, 622006504, 528821267, 170955514, 727322112, 990093791, 642083842, ( -1), 97646954, ( -1), ( -1), 404200580, 11910164, 472563465, 912249323, 255973405, 350407585, ( -1), 181567812, 848251404, ( -1), ( -1), 20415482, ( -1), 692027862, 697467050, 579208790, ( -1), ( -1), ( -1), 543193161, 672226279, 331933725, 506107933, 634307704, 157326455, 657363964, ( -1), 228594176, 579070482, 205960109, 142321684, ( -1), 95287932, 221789927, 567720576, 204402826, 614666079, 129312745, 211921218, 486500807, 487719802, 34224018, 208956430, ( -1), 881290219, ( -1), 628773636, ( -1), 452710662, ( -1), ( -1), 653120636, ( -1), 797791292, 943079476, ( -1), 212835536, 122518982, 893684321, 854132710, 539839751, ( -1), 704748056, 840046276, ( -1), 1613854, ( -1), 229505244, 752495021, 185695090, 666360019, 299916410, 222080860, 758870663, 779533415, 393839713, 687671120, ( -1), ( -1), 11158714, 544219648, ( -1), 309905343, ( -1), 978147831, ( -1), 604670640, ( -1), 469734819, 260471598, 311437220, ( -1), 462534246, ( -1), ( -1), ( -1), ( -1), 409085403, 822370110, 7999499, ( -1), 970798716, 61868816, ( -1), ( -1), 581080674, ( -1), ( -1), ( -1), 1270238, ( -1), 443118194, 878031350, 136687001, 715469919, 792530243, 568426083, 974185928, 704953942, 853804979, 760695508, 486647546, ( -1), 394998749, 115451705, 975295862, 512622747, 693995850, 886485188, ( -1), ( -1), ( -1), ( -1), 552339635, 482456808, 268389762, 431833984, 897229145, ( -1), 660441568, 228968336, ( -1), 332321795, 740228347, 888129275, 706233944, ( -1), 549281041, 874251312, 659454320, ( -1), ( -1), ( -1), 952910683, 534209653, 849335944, 919173886, ( -1), 125512435, 539182470, 748092562, 206098399, 883477111, 621284741, 482715103, 153337156, 733669396, 191458437, 606581313, 663864159, ( -1), 84162283, 282174087, ( -1), 367495303, ( -1), 702657268, 436338190, 485467308, 992566292, 857060702, ( -1), 576098096, 806216397, 834759645, ( -1), 120272529, 549344687, 510585738, 799353494, 104772625, ( -1), 922984409, ( -1), ( -1), 880242440, ( -1), 160197213, 825696817, 449274965, 104198600, 402377536, 761757310, 322850667, 581967188, 304675007, 356048548, 391928610, 953573804, ( -1), 338569183, 373538891, 703447254, 769856515, 578440408, 816866454, 792338238, ( -1), 681110459, 818762127, 3285679, 395562882, 208037663, 604642740, 623014793, 787715667, 530192401, 868442893, 985611005, 816338820, 552338427, 908704719, 999117045, ( -1), ( -1), ( -1), 902368443, 350825314, ( -1), ( -1), ( -1), 159691460, 228979415, 702225204, ( -1), 949515077, 131823574, ( -1), ( -1), 109179787, 937648850, ( -1), 965410258, 357950117, 712195591, 683830508, ( -1), 253800873, 357713700, 445241494, 458637139, 888594454, ( -1), 701579167, 549177107, 628758103, 660904763, 586297997, 341694115, ( -1), 671003243, 41499222, 537760360, 84594192, 789826266, 688754017, 953286349, 566619960, 369187299, 5703495, 880212455, ( -1), ( -1), 126779224, ( -1), 738386789, 432454205, 563620273, 749810966, ( -1), 834555026, 601381884, ( -1), 892902874, ( -1), 1009642, 811471580, 69963096, 413076125, ( -1), 291636315, 136874731, 275552402, 706050933, 158709535, 181948118, 59835173, 422553044, 559969209, 330773652, ( -1), 541361886, 414196396, ( -1), 477051181, ( -1), 525403203, 569150516, ( -1), 552659872, 992540028, ( -1), 648072945, 270656027, 706804213, 301831595, 958283602, 382278632, 75450742, ( -1), 749099555, 894647832, 909520358, 593277164, ( -1), 406057926, 657938934, ( -1), 799656960, ( -1), 253063163, 816904799, 805959158, 882989810, 118905835, 569562742, 425849826, 112317007, 533657180, 817775010, 687172024, 139579226, 281312243, 550379478, 122598984, 641054509, 269364976, ( -1), 995167654, 774249964, 146504639, 128200272, 617958282, 429351598, ( -1), ( -1), 320588212, 192338204, 350588635, 673137306, ( -1), 237368710, 942292719, 40200043, 124655173, 305686786, ( -1), 781651786, ( -1), 746787783, ( -1), 583523275, 705953322, 964088979, ( -1), 737015589, 530491785, ( -1), 285267786, ( -1), 583063308, 693065870, 412496568, ( -1), ( -1), ( -1), 71856194, 139068015, 621044883, 472627570, ( -1), 606201471, 479586942, 313665364, ( -1), 574315728, 542784489, 333817706, 115247093, ( -1), ( -1), 339158002, 875521117, 959438632, ( -1), ( -1), 615329819, 989387800, 298722309, ( -1), 726806004, 866382764, ( -1), 290330120, 868732864, 786870573, 320797847, 779590852, ( -1), 198632570, 363401582, 626054813, 459302763, 323818856, ( -1), 447093076, 964505429, ( -1), ( -1), ( -1), 422738660, 266288512, 108579592, 927208982, ( -1), 296159111, ( -1), 169530846, ( -1), 323181989, ( -1), 967301760, 348360460, 805236993, 805514187, 737738112, 879560856, ( -1), 676731409, 909792519, 922531965, 346255292, 306617771, 643924643, ( -1), 377669277, 890513213, ( -1), 537177512, 118072596, 877449657, 592391028, ( -1), 741506392, ( -1), ( -1), ( -1), ( -1), 99471422, ( -1), 918791384, 314674317, 571612119, 487387581, ( -1), ( -1), 573455840, ( -1), 375564090, 374985802, 413460520, ( -1), 756983033, ( -1), 193860148, 179138908, 962930247, 883290326, 560416588, 305490213, 238934279, 736717342, 829363870, 82558865, 874736500, ( -1), ( -1), 453375339, ( -1), 90072041, ( -1), 129514570, 286085345, ( -1), 623203080, 199238146, 293836462, 750092022, 160130725, 269247614, ( -1), ( -1), 969316020, ( -1), ( -1), 477408861, 602004132, 674405785, 800345955, 206986050, 917432157, 528725888, ( -1), ( -1), 581587807, ( -1), 960836143, 991420089, 80866472, ( -1), 525275036, 493856413, 942264623, 202000383, ( -1), 194662826, 879873024, 326998197, ( -1), ( -1), ( -1), 275207218, 520952461, 999745531, ( -1), 352425143, ( -1), ( -1), 197384890, ( -1), 877824378, 3962710, 23116636, ( -1), 413682201, 523299088, ( -1), ( -1), ( -1), ( -1), ( -1), 448565435, 121306496, ( -1), 937639422, 104902575, 547399409, ( -1), 990673173, ( -1), 308566053, 209731200, 551164692, 584729714, 465750868, 201143246, 713924080, 996439837, ( -1), 568783090, 602590379, ( -1), 392246094, 717249895, 356551320, 915878276, 273773801, ( -1), ( -1), 675896030, ( -1), 614037336, 739688445, ( -1), 277253133, 918105168, 721747355, ( -1), 882304419, 838711108, 477599713, 593457825, 776488045, 585690376, 350983796, 226033221, 51759068, ( -1), ( -1), ( -1), 30846041, 199322559, ( -1), 989399174, 923073678, 38858515, 35989510, 722009433, ( -1), ( -1), ( -1), ( -1), 661077463, 408697864, 108517870, ( -1), 794307802, 133250701, 473174409, ( -1), 542262484, 166122463, 715741843, 441778726, 712609757, 926896093, 36106826, 305246993, 690546415, 468017003, 988159301, ( -1), 934429814, ( -1), 272376736, 993706010, ( -1), 714454248, 572034594, ( -1), ( -1), 754561418, 75663140, 153179970, 855719920, 996401193, 456885167, 813776544, 804978799, 303903023, 723950578, ( -1), 300367429, 782113710, 266776653, 752093988, ( -1), 135343833, 751660800, 678646579, ( -1), 628181210, 582134530, 466943728, 271660868, 936678064, ( -1), ( -1), 534592011, 741879176, 708496001, ( -1), 246389670, 508366009, 208081890, ( -1), 637200315, 570991283, ( -1), ( -1), ( -1), ( -1), 608466503, 443354451, ( -1), ( -1), ( -1), 652454879, 213081041, 940072210, ( -1), 127384838, 98864493, 93593489, 55840242, ( -1), 69728511, 145849202, 195181771, 151821205, 165926959, 560424474, 676838826, 228398557, 923785021, 642006746, ( -1), ( -1), 322842249, 123339805, 206007661, ( -1), 877224081, 543458396, ( -1), 211643623, 609827433, 42947777, 589048972, 364637826, 119673377, 51788834, ( -1), 366695044, 346121992, 617146501, 16611604, 596621663, ( -1), 509727044, 854738131, 137101310, 862654648, 686114169, 917290634, 794804358, 986223223, 799828624, ( -1), 668415638, ( -1), 587402950, 95065566, 582190354, 845110588, ( -1), 724607986, ( -1), 123962848, 858716585, 413951970, 972555349, 958580481, 599580027, ( -1), ( -1), 721227606, 856786853, 401286775, 724943817, 894388441, 216498608, ( -1), 652846491, ( -1), 501133984, 720989369, 981461415, 475037993, 680212099, ( -1), 747818394, 16410401, 237764121, 170100639, 64682285, 506931925, ( -1), 628414845, ( -1), ( -1), 798331664, ( -1), 575527815, ( -1), 58196113, 528140661, 25550359, 588176180, ( -1), 115908426, 446174880, 545250807, ( -1), 685837765, 742564748, 320124615, 706608938, 731744635, ( -1), ( -1), 111353511, 951062758, 817426242, 989886218, ( -1), 151314787, 89249168, 927721986, 278326013, 741221293, 833731111, 136178347, 568192435, 31502141, 1632494, ( -1), ( -1), 748942180, 778610462, 959231434, 288060480, 486342305, 300667083, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 7801654, 179245638, ( -1), 447361828, 476094004, 949805982, 904922597, 960960890, 439505121, 453714654, ( -1), 240657941, ( -1), 263912547, 607621981, ( -1), 138798051, 127931522, 718538386, 51437882, ( -1), 355719794, 118356287, 480157081, 110606285, 162728244, 928201416, ( -1), 500785466, ( -1), 894656375, ( -1), 255551945, 148186901, 203998650, ( -1), ( -1), 257998972, ( -1), 999519311, ( -1), 263563110, 910070108, ( -1), 53270077, 201522494, 752881232, 470735976, 79743275, 454236775, 591921682, 224199829, 707820136, 53572776, ( -1), 385818810, 189121311, 78631880, 448596807, 586009122, ( -1), ( -1), 551226584, 687298924, 110423210, ( -1), 112016112, ( -1), 537482300, 593567173, ( -1), 195589506, ( -1), ( -1), 861040038, 331816886, 122391287, 657281662, ( -1), ( -1), 700678909, 565874968, 78699557, 342566272, ( -1), 641190865, 575684448, ( -1), 985402103, 308394556, 635785222, 647871750, 719396324, ( -1), 399314444, 985015156, 161102268, 388798461, 789615956, 953719500, 96985014, 469839124, 267787354, 800476055, ( -1), ( -1), 691472947, 862175694, 156579457, 879389805, 320391857, 74423873, 593603654, ( -1), 609905031, 781976990, 316112556, 809889629, 805214348, 561907176, 944966548, 229511040, 467959172, 797141571, 782006012, ( -1), 877525700, ( -1), 13855434, 542858878, 966482079, 387988141, ( -1), 964637716, 414193758, 905378979, 511488602, 285168305, 971945880, 324930222, ( -1), ( -1), 596383227, 432272740, 615508030, 237927199, 988016389, ( -1), ( -1), 370977642, ( -1), 623893734, ( -1), 260951494, 30010199, 167715218, ( -1), 439546111, 226249875, 995975817, 810814181, 970727318, 822165032, ( -1), ( -1), ( -1), 781591636, ( -1), 545290217, 173444019, ( -1), 618132503, ( -1), ( -1), ( -1), ( -1), ( -1), 185197836, 600899588, ( -1), ( -1), 619472706, 883560382, 628449827, 385393275, 489840177, ( -1), 549760741, 298173193, 226908661, 872944383, ( -1), 412221372, 296738881, 54502604, 388773570, ( -1), 933633117, 304110323, 714312565, 54653293, 197601598, 391279984, 551389692, 913533881, 802716605, ( -1), 621178836, 184671013, 198536661, ( -1), 803461030, ( -1), 549728269, 942417424, 235337680, 452515351, 830322102, 474543927, 360075678, 257425098, ( -1), 576499265, ( -1), 875936835, 646408571, ( -1), ( -1), 436912987, 526321606, 556460252, 269111259, 408643359, ( -1), 590433039, 648569912, 709642901, 315424617, 742057917, 615115106, ( -1), 959250872, ( -1), 248884615, 79631893, ( -1), ( -1), 827989983, 807346285, ( -1), ( -1), 713848539, ( -1), 401147118, ( -1), 707199095, 438461388, ( -1), 87954382, ( -1), 269927551, 263470512, ( -1), 599342486, 902085490, ( -1), 546723544, 103496532, ( -1), 519352318, ( -1), ( -1), ( -1), ( -1), 236186091, 195137751, 83198493, ( -1), 560874304, ( -1), 600739742, 779065274, 139402582, 386125533, ( -1), ( -1), ( -1), 242126373, ( -1), 750964555, 396911520, ( -1), 974027100, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 393549591, 502307124, ( -1), ( -1), 966819566, 24555698, 888933401, 607193568, 670382397, ( -1), 529611380, ( -1), 408423407, ( -1), 342706700, 685391737, 441840086, 620333283, 758930220, 751934013, 803683648, 571186076, ( -1), 415443299, 219049227, 975178702, 371045603, 335823377, 142110723, 339043655, 654234342, 362370344, ( -1), 771940289, 608602431, 950162795, 221513876, 505663372, 288828749, ( -1), 988889924, ( -1), 762173819, ( -1), 507565583, 707347640, 929948094, ( -1), 949360038, 935471876, 958962444, 249349927, 436865441, ( -1), ( -1), 167523786, 935425558, 917819592, 725887359, 797362381, 419133641, 417979222, 191848666, 627994229, 669737718, 145354547, 730245319, ( -1), 513743494, 611047719, 463276171, ( -1), 577381924, 322908747, 106751432, 998635189, ( -1), 129606500, 517529144, 925717401, 798356096, 363360237, 273950633, ( -1), 823144594, ( -1), 973990360, 406387013, ( -1), 566355857, 897788725, 453881915, ( -1), 484690671, 199677012, 654491206, 584419750, 260144351, ( -1), 336172911, 431110945, 7345299, 166865817, 216039772, 236435739, 501491270, 456367284, ( -1), 345035493, 191904627, 773422791, 638779039, ( -1), 847957882, ( -1), 204030876, 976401909, 788238495, 510804569, 606242594, 781742034, 983188446, 725550567, 743259259, 251065419, ( -1), 87157646, ( -1), 801151479, 308944555, ( -1), ( -1), 436154268, 913040130, 831941343, ( -1), ( -1), 27987024, 491479350, 184569556, ( -1), 760119787, ( -1), 385887533, 145511201, 452062065, 892507489, ( -1), 778159862, 971027581, ( -1), 64336905, 682526642, 117919328, ( -1), ( -1), 94453947, ( -1), 310375340, ( -1), 543358537, 809758906, ( -1), 92427611, 698570402, 729930400, 792465549, ( -1), 612579293, 259744959, ( -1), 584097519, 66856850, 661178884, ( -1), 134020627, ( -1), 61342320, 633881511, 780526334, 145769573, 392872444, ( -1), ( -1), ( -1), 672880149, 956464856, ( -1), ( -1), 896467877, 132936164, 914261554, 249769487, ( -1), 939270999, 408172751, 862117078, 584877917, 600867130, 962969148, 896652395, ( -1), 17291336, 351657956, 742705324, ( -1), ( -1), 930477887, 585937837, 899328871, 239399338, ( -1), 611926047, ( -1), 459147555, ( -1), ( -1), 104442315, 678959453, 564622238, 99376353, 560207568, 986358698, 174449347, ( -1), 330625812, ( -1), 391283919, ( -1), 632283548, 557139758, 838975895, 956605493, ( -1), ( -1), 309518940, ( -1), 212518189, 551298067, ( -1), 744954744, ( -1), 545333949, ( -1), ( -1), 931767592, ( -1), 616652553, 68199292, 53291714, ( -1), ( -1), 252196818, 808808324, 787282571, 581228946, 424432980, ( -1), 518985543, ( -1), 443849817, ( -1), 686513230, ( -1), 24526722, ( -1), 23184956, 875515849, 470896644, 630378438, ( -1), 367289337, 232286480, ( -1), ( -1), 387957790, 809220882, ( -1), ( -1), 949847506, 190607521, 469937398, ( -1), 493265583, ( -1), 8201714, 99748979, 384096526, 669711439, 450271782, 570925593, 969346579, 249541803, 823326568, ( -1), 967038310, ( -1), 810223519, 326034160, ( -1), 210455480, ( -1), 850677354, 932949901, 376789545, ( -1), 230056895, 122441496, ( -1), 340702205, ( -1), 663076579, 380403591, 585948453, 581706049, 606322768, ( -1), 847770946, 586067444, ( -1), 457101188, 413056094, ( -1), 411387422, ( -1), 484272687, 72550434, 531000140, 93078079, 516684121, 828220242, 95820231, 513106695, 6464951, 937704511, 293202022, 613865124, 102951870, 869751720, ( -1), 908967798, 917633836, ( -1), 646181268, ( -1), 122232256, 271709306, 493530691, 661745549, 171807996, 307419857, 104549801, ( -1), ( -1), ( -1), 578094422, 326175230, 373355453, 464823133, 835051302, ( -1), 512655285, 938373960, ( -1), 363011074, 13345796, 148195694, 982295626, 304358623, 248694630, 859605030, 678722770, ( -1), ( -1), 884451508, 79816457, ( -1), 816432457, 323658665, ( -1), 85391256, ( -1), 203062791, 548915689, 371477286, 919002246, 376559948, 409278647, 352907241, 461702155, 894991953, 990983622, ( -1), ( -1), 424611160, ( -1), ( -1), 164257825, 614100891, 726935596, ( -1), 143288617, 165400596, 754712763, 609367661, 617075981, ( -1), 227332215, ( -1), 976726449, ( -1), 516613343, 502247393, 678377096, 195650603, 621089712, 6884288, ( -1), 535664535, 816609215, 964485906, 398999320, 378279838, 585277622, 120710439, 443925170, 881897479, 839308617, 620316083, 334652508, ( -1), 814658202, 219325930, 118928204, 451849580, 609159026, 361447664, 442213783, 576017335, ( -1), 139312660, 67516295, 787341545, ( -1), 137659114, 870663496, ( -1), ( -1), ( -1), 452474693, 856003571, 925587847, ( -1), 606791729, 603203325, 746999061, ( -1), 320456431, ( -1), ( -1), ( -1), ( -1), 742910611, 96336698, ( -1), 932469018, 711106749, 847134724, 791782926, 791949433, 615109693, 470481277, ( -1), ( -1), 545080292, 128321712, 911155974, 683595173, ( -1), ( -1), ( -1), 426514760, 190646130, 258343724, 898116722, 408682159, 23779306, 820713214, 49990232, 872957799, ( -1), 689619697, 993710905, 442399388, 591646589, 993424900, 944631025, ( -1), ( -1), 248917546, 167065653, 594167838, 306196317, 172582229, 301853245, ( -1), 453819443, 632499914, 409391255, 776506191, 190055848, 378558716, ( -1), 120809269, ( -1), ( -1), ( -1), 227791321, 295621010, 287281814, 562558722, 174685847, ( -1), ( -1), 843959386, 558531389, 277270402, ( -1), 459318661, ( -1), 470511127, ( -1), ( -1), 815920983, 209360382, 605168533, 888354339, ( -1), 239110070, 890838971, ( -1), ( -1), 131602546, 376906377, 456563956, ( -1), 898600678, 354523403, ( -1), 169364067, ( -1), 208164692, 299589926, ( -1), 650814659, 207194620, 118901698, 104801960, 172106903, ( -1), ( -1), 17062523, 302712158, 334487731, 63311945, 565957052, 32139982, 963448750, 84917457, 885526954, 985812211, 619084642, 333252701, ( -1), 104275783, ( -1), ( -1), ( -1), 672574468, ( -1), 965774642, 199917543, ( -1), 852918101, 282837116, ( -1), ( -1), 248208768, 701745698, ( -1), 267175086, ( -1), 101355588, 548588604, 91415528, 420044773, 685932141, 532496718, ( -1), 642760342, 962430275, 669867386, ( -1), 634087410, 728149934, 500820521, 897936023, 893300990, 437571770, 593573227, 120942293, 609567766, ( -1), ( -1), ( -1), ( -1), 211112301, 87454642, ( -1), 70376118, 384447763, 323092367, ( -1), ( -1), 766650377, ( -1), ( -1), 62147088, ( -1), 87809371, 154629767, 333435281, 772132399, ( -1), 414151612, ( -1), 774331235, 50909433, ( -1), 720061847, 566027242, 271245725, 131884187, 876092483, 445571940, 455172372, ( -1), 277313808, 507504427, ( -1), 650893502, 760093999, ( -1), 238151604, 473066437, ( -1), 725887588, ( -1), 166496748, 858634879, 349573286, 170950350, ( -1), ( -1), ( -1), ( -1), ( -1), 142095549, 621128526, 12564647, 485749427, ( -1), ( -1), 862615952, 592156375, ( -1), 485140835, 422790239, 475235582, 727010391, 98871027, 428857092, 560494274, ( -1), ( -1), 613279864, 76201073, 582879670, 146010539, ( -1), 601885784, 921631950, 338160610, 114184214, ( -1), 588139070, 902252708, ( -1), ( -1), 890942199, 131373202, 646086171, 516456892, ( -1), 762955082, ( -1), 339950537, 353361007, 66786381, 653807014, 193022372, ( -1), 191053645, ( -1), 746240665, ( -1), 905024603, 471546097, 154851845, 295199819, ( -1), 871285846, ( -1), 879451435, 155006047, 646724287, 892889692, ( -1), 288569692, 246785401, 398521504, 65115082, ( -1), 347026835, 43281007, 984807666, 471771636, ( -1), 240827781, 72106930, 41199440, 427420228, 606701717, 8603497, ( -1), 226456325, 441715268, 357554345, ( -1), 141426273, 193313684, 23107481, 355812402, 943194245, 277423415, 838121083, 553908678, 830080413, 85629946, 271479834, 11325829, 100388119, 359636014, ( -1), ( -1), ( -1), 819530710, 547722796, 42157066, 732058343, 404325824, 260852586, ( -1), ( -1), 897927597, 449533254, 905575348, ( -1), 831279869, 168892452, 97745446, ( -1), 593156943, ( -1), 623415021, 211814050, ( -1), ( -1), 654777596, 481758790, 730974124, 662702213, ( -1), 310862694, ( -1), 886900384, ( -1), 18227283, 825267367, 918408701, 250143887, 81682706, 933342760, 654629316, 339948447, ( -1), 278305493, 292895854, ( -1), 909342048, 103772753, ( -1), 386301258, 8775298, ( -1), ( -1), 437934721, 668641071, ( -1), 816998829, 184926796, 221531357, ( -1), 284898980, 534236342, 851256572, 372475205, ( -1), 738054516, 178438764, 681123007, 346944447, ( -1), 68932155, 609981105, 606515293, 616359578, ( -1), 666351496, 16909533, ( -1), 171415128, 706324669, ( -1), ( -1), 796152504, 955446024, ( -1), 994593700, ( -1), 778961304, 729826266, 223310394, ( -1), 738289114, 494359446, 146448764, ( -1), 446735151, 232549839, 798562406, 222910121, 523433259, 815750618, 935098087, 8686536, 365559941, 44990071, 592573838, ( -1), 786863589, 252438814, ( -1), ( -1), 924593130, 23802486, ( -1), ( -1), ( -1), 442080207, 699442562, 874797152, 977110248, 135940635, 17011122, ( -1), 662728086, ( -1), 778346660, 326592035, 459826824, 527073775, 406967719, 47990735, 402092513, ( -1), 62290633, 128265557, ( -1), ( -1), 753791297, 988499508, 44510918, 733450210, 573350631, ( -1), 314271534, 645818912, 724004558, ( -1), ( -1), ( -1), 744729872, 158469759, 5765081, 573408894, ( -1), ( -1), ( -1), 192909566, 593535323, ( -1), 950266968, ( -1), ( -1), 745786546, 985109073, ( -1), 7786532, 945958713, 556664510, 630649784, ( -1), 358049760, 455455513, 155066946, 325451741, ( -1), 761472089, 749641919, ( -1), 857130777, ( -1), 142229210, 568982166, ( -1), 883640620, 178397185, ( -1), 142419442, 601379401, 934520272, ( -1), 928523912, 669402208, 662365484, ( -1), ( -1), 75461135, 16998488, 350809925, 392836211, ( -1), ( -1), 509621137, 265631424, ( -1), 469234429, ( -1), ( -1), 82851876, 555026097, 563350064, 382193125, 122799911, 935607742, 86739896, 418121644, 937257919, ( -1), ( -1), ( -1), 473611802, 406994074, 9060414, 825629899, 159628679, 671788700, 588404749, 424588916, 686519080, ( -1), 270111564, 511350105, 592043669, 861204332, 831718750, ( -1), 467599157, ( -1), ( -1), 50719766, 918872173, 414670379, 595284294, 482713224, 99175047, ( -1), ( -1), 304347857, 874968415, 953553668, 454196652, 780861672, 967190515, ( -1), 318342294, 257077290, ( -1), 798481143, 790583584, 394339625, 803898962, 369246454, 550087254, ( -1), 575134400, 678654670, 582106688, ( -1), ( -1), 365136235, 331478783, 37916654, ( -1), ( -1), 441125646, ( -1), 399256410, 319847604, 913886819, 986460998, 193066196, ( -1), 702171718, 727447859, ( -1), ( -1), 101780814, 392286290, 976861231, 262638044, ( -1), 233887950, 783982544, ( -1), 923743874, 723285237, 792110485, 395226992, 372984834, 314308813, 781647291, ( -1), 238546222, 598846717, 718501231, 580277205, 241073896, 863994878, ( -1), 708577890, ( -1), 546678684, ( -1), 976016205, 291884534, 832913094, 591628411, 180313161, 312313999, 783014195, 150317416, ( -1), 872094695, ( -1), 330398502, 63362989, 938890513, 396366778, 271654501, 757806077, 63846123, ( -1), 408674698, 888441456, 71127898, 762454941, 358678761, 86123677, 708428060, 353201814, 185935360, ( -1), ( -1), 544570851, ( -1), 975502109, 120354932, ( -1), ( -1), 842429389, 443626646, 722247976, ( -1), 377271364, 410025110, 623307516, 187377214, 20675250, 913257540, 536646569, 109464704, 626338237, 701322471, ( -1), 564206071, 722480288, 847703875, 392691409, 776912201, 20110838, 341392031, 111424668, 72510148, 867875035, ( -1), 393960826, 552809081, 729910625, 625874914, ( -1), 564656087, 839816958, 829017153, ( -1), 803534481, 201099639, ( -1), ( -1), 90970491, ( -1), ( -1), 498844707, 198890983, ( -1), 42046514, 290027186, 387345843, 133832417, 629104604, 308952140, 604631495, 17979299, 269399311, 952399998, 143320279, 662608583, 352626154, 649144785, 985177566, 554799353, 77289546, 389037647, ( -1), ( -1), 735101594, 261276039, 102293244, 928588535, 49503010, 420594316, 715579432, ( -1), 945074875, 100176360, 441599275, 893074643, 569394067, 661982843, 286599420, 490838546, 122960181, 306042896, 102459972, 972676528, 941388427, 475442068, ( -1), 973874552, 421899851, 366902534, ( -1), ( -1), 317929092, 761841876, 192602965, ( -1), 485294420, ( -1), 648302685, 614090966, 874565050, 183748178, 211218878, 784429595, 342152599, ( -1), ( -1), 422590564, ( -1), 857908278, ( -1), 132084620, ( -1), 457879179, 233797527, 819328656, 189695659, 161267218, 711369594, 910169747, ( -1), 233593577, 105189742, 138548680, 151937720, ( -1), 811422041, 958470396, 960132880, 533110159, 407149058, 331740417, 37941733, ( -1), 392464032, 465319164, ( -1), 155806843, 383289992, ( -1), 887163056, 246785671, 663528794, 662955467, ( -1), 904899974, 96907314, 539361062, 666715277, 943774046, ( -1), 207547189, ( -1), 26754884, ( -1), ( -1), 719192022, ( -1), 821254818, 200800787, ( -1), ( -1), 333974323, 286829049, ( -1), 351912159, 795948223, ( -1), 612957903, ( -1), 63975540, 297619855, 747528809, ( -1), 388686031, 49950706, ( -1), 625992904, 383142542, 14807194, 415216400, ( -1), ( -1), 510812953, 429519294, 860767633, ( -1), 256699484, 385030785, 634344562, 61678256, ( -1), 790112350, 839355956, ( -1), 104675634, 752629319, 556657185, ( -1), 110329095, 152553616, 265492945, ( -1), 261606232, 207613638, 552717235, 885693208, 343991019, 439752858, 375835822, 259638267, 434388310, 984039562, 702734298, 358805141, 350966343, ( -1), ( -1), 523457903, 901607910, ( -1), 316922075, 641571349, ( -1), 425876414, 788065383, 317942160, ( -1), 994807683, 242417287, 525288656, ( -1), 415217992, 440047620, 448746167, ( -1), 877437704, 590590360, 582999058, 440809559, 251146514, 831212065, 223732278, ( -1), 507005596, 957037303, 582722099, 125820860, 83531518, 582020996, ( -1), 940859043, 661809266, 872025631, 492466310, 562419246, 9527792, 566189826, 77034407, ( -1), 978489635, 172192771, ( -1), 570860966, 25466539, ( -1), ( -1), 78889242, 296119019, 355329104, 389019262, ( -1), ( -1), ( -1), ( -1), 879753989, ( -1), 645561182, 79234633, 227602183, ( -1), 759477114, ( -1), ( -1), 627617596, 162572926, 40748001, 955577649, 597726882, 237298485, ( -1), ( -1), ( -1), 890636693, 807674077, 498640439, 683409036, 683373716, 183415886, 100187039, 237337598, ( -1), ( -1), 266421773, 729818667, ( -1), 988701570, 512143274, 191889073, ( -1), ( -1), 967111997, 647582447, 642780008, ( -1), ( -1), ( -1), 92616800, ( -1), 416701643, 225149227, 232498122, 111674620, 877750448, 461811879, ( -1), 759037408, 583684473, 407320374, 590823105, ( -1), 669272727, ( -1), 570247912, 990866565, ( -1), 260405545, 994182444, ( -1), 392613189, ( -1), ( -1), 417618698, ( -1), 10231289, 550582670, ( -1), ( -1), ( -1), 853218836, 846753190, ( -1), 752308583, 315314498, 225482058, 884442968, ( -1), 341670180, 240324413, ( -1), ( -1), 96058256, 829216387, 59042277, 360468168, 158273267, ( -1), 670449354, 606082934, ( -1), 250446807, 361502863, ( -1), 443556175, ( -1), 315545586, 599724766, 685805279, 809199340, 927487725, 347926301, 513884450, ( -1), 226984385, 157151698, 114124253, ( -1), ( -1), ( -1), ( -1), 484813865, 510213540, ( -1), 303147345, ( -1), 957398760, 909014898, 844402777, 841086461, ( -1), 215699375, 907187546, ( -1), 894711921, 81493636, 439031816, ( -1), ( -1), 377796136, ( -1), 526192058, 511805496, ( -1), ( -1), 221341715, 237261171, 358654352, ( -1), ( -1), ( -1), 726577600, 824335439, 990688548, 600429303, ( -1), 711492203, 24981901, ( -1), ( -1), 437231889, 30132120, 506698887, 439893060, ( -1), 10185732, 746874127, 859964646, ( -1), 595069382, 907484404, 768703181, 197404581, 460055712, 759582525, 20966058, 927917484, 752674277, 338550683, 329983527, 384507706, 807420881, ( -1), ( -1), ( -1), 382697601, 430243567, 70648744, 132543677, 875161, 324939204, 575565325, ( -1), 581844594, 55710925, ( -1), 82278722, 497440470, 700544874, 654096676, ( -1), 329504371, 657510327, 517150368, 210950805, 717446216, ( -1), 447966091, 964806808, ( -1), 488428577, 806164775, 26004108, ( -1), 76526608, ( -1), 249141461, ( -1), ( -1), ( -1), 95370778, ( -1), 829857515, ( -1), 183407585, ( -1), ( -1), ( -1), 578914857, 130330619, ( -1), 247421034, 402838739, 161757413, 415000598, 272106737, 55790268, 250029138, 959094505, ( -1), 634137876, 784622168, 290010803, 950531606, 29310965, 40583365, ( -1), 950222028, ( -1), ( -1), 952182629, ( -1), 839394449, 183986341, 424552948, ( -1), 328625616, 291491710, 263260531, 304226011, ( -1), ( -1), ( -1), 203483105, 916234274, ( -1), ( -1), ( -1), 488496576, ( -1), 861414040, 481353747, ( -1), ( -1), 855211458, 472172400, 890055262, 813826947, 428234362, ( -1), 437686046, 894868833, ( -1), ( -1), 688781800, 93394378, 339020498, 904842418, 196488483, 713188860, 834510671, 325660924, 355047482, 930211796, 735455282, 141369620, 516204099, ( -1), 774104455, ( -1), 426001032, 955801530, 287118614, ( -1), 55841998, 948254425, 383664541, 881198322, ( -1), 709870654, 491834931, 373369691, 44879762, 272915906, ( -1), ( -1), ( -1), ( -1), 369318554, ( -1), 181587953, ( -1), 314934552, 803527200, 934747248, 279629345, 211224708, ( -1), 661902785, 500326698, ( -1), 569818142, ( -1), ( -1), ( -1), 878824557, 921429527, ( -1), 467037541, 293237891, 670656291, ( -1), 416278266, ( -1), ( -1), ( -1), ( -1), 178668408, 619771116, 384129476, 164602837, 289513676, ( -1), 372531969, ( -1), 363059306, 272251387, 392914426, 506425649, 279254545, 452328920, 406674120, 172475456, ( -1), 677284634, ( -1), ( -1), ( -1), 90264480, 849332616, ( -1), 551734451, 168073732, ( -1), ( -1), ( -1), ( -1), 39842570, ( -1), 990178296, 916515565, ( -1), 562319046, ( -1), 502428256, 586668962, ( -1), ( -1), ( -1), 897572756, ( -1), ( -1), 626176617, ( -1), 998376175, ( -1), 273667522, 383481637, ( -1), 558064845, 763420836, ( -1), 713833086, 762827031, ( -1), 218502063, 424836543, ( -1), ( -1), 709931263, 201679478, ( -1), 258986674, ( -1), ( -1), ( -1), 83388249, ( -1), ( -1), ( -1), 460854594, ( -1), 76843285, ( -1), 552678201, ( -1), 43000672, ( -1), 996369591, ( -1), 609554594, ( -1), 658755771, ( -1), 37290481, ( -1), ( -1), 829681698, 208258867, ( -1), 394656826, ( -1), ( -1), ( -1), 932757937, ( -1), 472185253, 761236437, 155216956, 497029398, 69823709, ( -1), 170707427, 148504599, 709606172, 285222331, 768727621, 276965582, 586976823, ( -1), ( -1), 816145603, 895208478, 142171888, 908055584, ( -1), 776165409, 146215491, 606812281, 228620136, 685927643, 161914626, 996530820, 839467795, 347580680, 70800290, 12337509, ( -1), 390576290, 310020844, 807712521, 810546461, 713361632, 592418243, 528910340, 869382999, 302238572, 361397270, 949903741, ( -1), 687597409, 15608634, 929040186, 37276597, 142679981, 164252674, ( -1), ( -1), ( -1), ( -1), 86204364, 169743192, ( -1), 914410242, 746362161, 805147967, 187189618, 285961236, 613440535, 928933739, 251326291, 186557031, ( -1), 749972933, 857860990, 119304300, 593665344, 142898650, 616134256, 109349007, ( -1), 83447470, 43929410, ( -1), 898020437, ( -1), 869473464, ( -1), 994268160, 74582320, 120516849, 895222160, 895839979, ( -1), ( -1), ( -1), 298331197, 335864769, ( -1), 775725130, ( -1), 325859836, ( -1), 246841079, ( -1), 751093367, 564539344, ( -1), 399470510, 576875650, 35722588, 586032789, 944047837, ( -1), ( -1), 103939131, 786190842, 148017112, 981576933, 836861585, 833059568, ( -1), 20124196, 673092035, 586640913, ( -1), 573202726, 740796175, 109010218, 142513748, 230907227, 84683177, 437788678, 486898290, 699818083, 151789612, ( -1), ( -1), 212619862, 664347729, 494441731, 764969780, ( -1), 729637430, 572396371, 527092344, 174170020, ( -1), 796561497, 196965671, ( -1), 661915347, 19349015, 537918197, 906893481, ( -1), 12327001, 351445086, 265217899, 421545501, 829668278, ( -1), 154951180, 626342254, 378663574, 399012471, ( -1), 216899296, ( -1), 151268037, ( -1), 955688918, 158715659, 740459323, 484531587, 858360409, ( -1), 405617554, 470498599, 21884385, 892523351, 359685322, 938624523, ( -1), 609436496, ( -1), ( -1), 848766754, 702488198, 76476381, ( -1), 838960331, 609964893, 7949160, ( -1), 297159735, 812574099, 965454883, 498494358, ( -1), ( -1), 198891092, ( -1), 752207515, 274370159, 296500990, 454311447, 216260603, ( -1), ( -1), 546840053, 680492513, ( -1), 872477753, ( -1), ( -1), ( -1), 931438647, ( -1), 333526943, ( -1), 75653477, 202640162, ( -1), 813394979, ( -1), 923448030, 987919142, 825838260, ( -1), ( -1), ( -1), 427461178, 454568937, 895195822, ( -1), ( -1), 305452659, 137249672, 541943299, 243012916, 937951921, 984507422, 79895488, 226735396, ( -1), 639604849, 688907913, 647785963, 748354279, 400913577, 408274126, ( -1), 585415729, ( -1), 162098908, 262567895, 610367611, 360030873, ( -1), ( -1), 569481055, 327142396, 169587332, ( -1), ( -1), 157873740, 955122057, 141719391, ( -1), ( -1), 825786698, 892470621, 542607228, 963740798, 757427801, 226998700, 348959560, ( -1), 530158976, 474521120, 247572428, 552628213, 130750964, 437627054, 168255271, 57589399, 758637735, ( -1), ( -1), 647623585, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 704413135, 512367561, 80571036, ( -1), 809938648, 268807942, ( -1), 28438646, 455716352, 963622709, ( -1), 972951620, 314420555, 708680478, ( -1), 365376661, ( -1), ( -1), 560620981, 211670137, ( -1), 973567540, 395775929, 143764598, 299666632, 761871331, ( -1), ( -1), 248559213, 849163121, 151148514, 990769294, 206738860, ( -1), 880144615, 777447405, ( -1), 267242547, 368322098, ( -1), 132243223, 292110992, 292290, 174728851, 627167636, 284937779, 228498006, 888427494, 959398496, 726555582, 445601208, ( -1), 949758357, 549099906, ( -1), 755723293, 681794553, 664005496, ( -1), ( -1), ( -1), ( -1), 441663744, ( -1), 316243533, 405434013, 423878083, 506195134, 252900291, 578897503, 916929221, 798408239, 120142653, ( -1), ( -1), ( -1), ( -1), 891003000, ( -1), 628355916, ( -1), 853837593, 664641897, ( -1), 307111372, 466076328, 934032224, ( -1), ( -1), 501263333, 519170811, 809589707, ( -1), 525172537, 166902018, 869117120, 95030875, 796887801, 423433106, 516749220, 901801878, ( -1), 799100850, 668459892, 414728593, 714358890, ( -1), 539214430, ( -1), 564362881, 457701756, ( -1), 843610641, ( -1), 573304185, 164152644, 107599089, 751534857, 126809177, 141524364, 440329426, 625148316, ( -1), 358202246, 39234934, 976066239, 537795044, 579753265, 525098074, ( -1), 42747599, 950103199, 6050871, 230894424, 606025346, 974132701, 748189203, 819443223, ( -1), 891387239, ( -1), 139875681, 70028190, ( -1), 635426083, ( -1), ( -1), 846968109, 473806724, 199831229, ( -1), 85653428, 225636100, 332162892, 97087555, 341528845, 75858065, 82555275, 664149132, 957711381, 999925806, 922379929, 200262890, ( -1), ( -1), ( -1), 643012054, 991246141, ( -1), ( -1), 321197177, ( -1), 845176693, 893395203, 290016732, ( -1), 149163437, ( -1), ( -1), 494011796, ( -1), 146783790, 278689479, ( -1), 18107223, ( -1), ( -1), 743102895, 335756645, 273718689, 419589193, ( -1), 342106287, 575032746, 390051434, ( -1), ( -1), ( -1), 304543623, ( -1), 660143147, 514762887, ( -1), 73259943, 948089883, 399677595, 246909779, 613346858, 106272397, 934211216, 450813802, ( -1), 21255977, ( -1), ( -1), 349157685, 774343711, 195716947, 300502417, ( -1), 279257477, 759272789, 125707120, ( -1), 4903972, 80696461, 528156508, ( -1), 94024343, ( -1), ( -1), 663912902, 680951203, ( -1), 766409952, 322247846, ( -1), 9651788, 500059111, 731469404, 423679319, 55669366, ( -1), 776870868, ( -1), 970942301, ( -1), 730965037, 181697482, 956385795, 205411450, 431300637, 290422655, 676982483, 282373403, 956256708, 363101593, ( -1), 615273971, 71277691, 462846052, ( -1), ( -1), 490541769, 548260814, 877422566, 202173511, 381382576, ( -1), 924843824, 463645346, ( -1), ( -1), 345428695, 48677760, 474004901, 485127862, 890778582, 910244775, ( -1), 490395259, 540298280, 211166609, ( -1), 755799479, ( -1), 287746574, ( -1), 124635705, 285686681, 542415223, 801132232, 327237139, ( -1), 664280287, ( -1), 959240548, 479131401, 657754884, ( -1), 650933954, 338384705, ( -1), 4023285, ( -1), ( -1), 156199835, 239360529, ( -1), 88172572, 467514686, 834174419, ( -1), ( -1), 989112999, 760396972, 407128962, ( -1), 893853925, 411746735, 649033508, ( -1), ( -1), 249125673, 617869927, ( -1), 691492018, 829376024, ( -1), 663765085, 180558306, 367133140, 510698029, 48642378, 864999081, ( -1), ( -1), 502087644, 627721593, 44988081, 902584765, 714846359, 949273035, 774861035, 505511887, 856507960, ( -1), 880374730, ( -1), 412779425, ( -1), 943740962, ( -1), 89469744, 936784943, 30459177, 312487211, 243880997, 304780770, 366118640, 452017005, ( -1), 972010089, 156348675, 801118084, ( -1), ( -1), ( -1), 724165623, 144259418, 80520751, 192936998, 445885788, ( -1), 763413552, ( -1), 547853230, 570010187, ( -1), 454004314, 263989727, ( -1), 473575676, ( -1), 933379079, 198336767, ( -1), 840512325, 985489768, 567411627, ( -1), ( -1), 146521438, 664633886, ( -1), 877757624, 694566083, 319852424, 285451859, 146763265, 731736295, ( -1), 719888906, 722704382, 505500298, 458886815, ( -1), 791423512, 445423196, 324843664, ( -1), ( -1), 875389607, ( -1), 66991212, ( -1), 573096702, ( -1), 705949481, ( -1), 336851107, 571496914, ( -1), 212766922, ( -1), 61167416, 324236974, 680321676, 90365937, 782234925, 330381233, 798393042, 424725248, 261608710, 269725578, ( -1), 434933613, ( -1), 995448923, 939990315, 572468152, 333416042, 214084146, ( -1), ( -1), 298238495, 421809746, 323078406, 557533399, ( -1), 826687126, 736042988, 112170579, 907063201, 103471560, 798269857, 121624413, ( -1), ( -1), 840686331, 321679058, ( -1), 684237368, 672287782, 259856289, 951793437, 672720219, 659891105, 677241713, 383241595, 216422284, 57267398, 572091825, ( -1), ( -1), ( -1), 766068666, 492651674, 672777367, 640872695, 728631196, 579360885, 652082160, ( -1), 907665184, 159455442, ( -1), 788585766, 344652980, 586688730, 390553120, 470950466, 671477783, 466029132, 816003952, 206654934, ( -1), 514897070, 671731608, 782913935, 717238125, 923523667, 323071486, 896767400, 688593367, ( -1), ( -1), 643206402, ( -1), ( -1), 491640860, ( -1), ( -1), 640122170, 348691922, ( -1), 881614240, 144588185, 825198661, ( -1), 29605290, 965017294, 178660110, 277693804, 6106, ( -1), 332070726, 961525892, 882715213, 910780726, 443514411, ( -1), 88769965, ( -1), 446346237, 290095437, 67820366, ( -1), ( -1), 632363530, 920190415, ( -1), 565152295, 810052418, 852143895, 443099437, 208333794, 703370266, 205250863, ( -1), 823887363, 365998507, 332828046, ( -1), ( -1), ( -1), 477877910, ( -1), 954259031, 804424435, 429580022, ( -1), 696083998, 645365579, 806488866, 844746908, 705147064, 68384179, ( -1), 743267773, ( -1), 264236279, 918718792, 754851028, ( -1), 740518402, ( -1), ( -1), ( -1), ( -1), 472593308, 93403209, 678466641, ( -1), 636556017, ( -1), ( -1), 352994213, 723788949, ( -1), 206919482, 61216773, ( -1), ( -1), 755905476, 682305616, ( -1), ( -1), 313024290, ( -1), 650145536, ( -1), 106105209, 894383346, 780804487, 781652832, ( -1), 95563189, 87512683, 180880502, 264827869, ( -1), 406246991, 652844279, 235729403, 752909555, 385076598, 298747456, 958072825, 490519014, ( -1), ( -1), ( -1), 347103594, 497761621, 641303969, 544468636, 93837210, 131168544, 253943738, 379779247, 762004423, ( -1), ( -1), ( -1), 890788586, ( -1), ( -1), ( -1), ( -1), ( -1), 912887475, ( -1), 210642713, ( -1), ( -1), 377120548, 327255695, ( -1), ( -1), 710118448, 801451314, ( -1), 174305358, 619967144, 239879797, ( -1), 318756991, ( -1), 164542559, ( -1), 302490465, 376894259, 310587825, ( -1), 165915694, 391236909, 505323780, 102493426, ( -1), 606956158, ( -1), 213600276, 167117075, ( -1), 209307119, ( -1), ( -1), 444113986, ( -1), ( -1), 915261412, 428942779, 502329343, 805287618, ( -1), 19273082, 716266384, ( -1), 133947195, 239025226, ( -1), 714642455, 300954357, 212521382, 397707917, ( -1), ( -1), 681232143, 752376889, 658836698, 239596091, ( -1), 899964336, 824725334, ( -1), 448058198, ( -1), 853568222, ( -1), 161106459, 933073959, 946565363, ( -1), 692876141, ( -1), 995820095, ( -1), 493401966, 263849471, 817811213, 577364179, 400032918, 347133145, 174426132, 632454569, 755721118, ( -1), 475532852, ( -1), 765496061, ( -1), 602172879, ( -1), 882730262, 442307162, ( -1), ( -1), 120371060, 639107012, ( -1), 913993146, 522259323, ( -1), ( -1), 38934846, ( -1), 827674969, 313374412, 967407793, ( -1), 631834419, 102457246, 92816863, 896499664, 131781773, 310642000, 120434448, ( -1), 451062249, ( -1), 738168689, 391841794, 737696795, 537863268, 596978271, 848356414, ( -1), 101134984, 173784098, ( -1), ( -1), 307296361, 599323790, ( -1), ( -1), 996565688, 746585735, 208698808, 261559005, 920851102, ( -1), ( -1), 325614255, ( -1), 810089145, ( -1), 548210817, 847239766, ( -1), 402506902, 709082624, ( -1), 622505563, 944053420, ( -1), 212818436, ( -1), 774529060, ( -1), ( -1), 571027280, 149915925, 459554468, ( -1), 226558117, ( -1), 561537964, 394999425, 416263148, ( -1), 409334748, ( -1), 281976191, ( -1), 552331453, ( -1), ( -1), 75000247, ( -1), 252386512, ( -1), ( -1), 351227872, ( -1), 412225914, ( -1), 666706000, 639004210, 79947418, ( -1), 247466251, 206175286, 597109845, 288829466, 35785075, 566605873, ( -1), ( -1), ( -1), 803862733, 490999569, 568667599, ( -1), ( -1), 19784755, ( -1), 944664564, 28781692, 449328728, 649796699, 104637533, 71346571, ( -1), 195502990, ( -1), ( -1), 962190462, ( -1), 113346078, 967334100, 784837505, 838353843, 144128900, 837128747, ( -1), 774970245, ( -1), 606532034, 282912348, 183502720, 811204913, 324429034, ( -1), 107648158, 214099111, ( -1), 698597944, ( -1), ( -1), 2118466, 661713661, 342073406, ( -1), 337040346, 532420873, ( -1), 212080460, 565605277, 10832481, ( -1), 828273469, ( -1), ( -1), 728447010, 7391017, 889861123, ( -1), 197300687, 467052918, ( -1), 288773203, ( -1), 885984176, ( -1), 501859067, 969201229, 609915391, ( -1), 189794347, 861201702, 690851547, 125789320, 379312834, 563878162, 495729705, ( -1), 423267177, 530437838, 934339067, 924419462, 253692304, 391081858, 473658262, 164526907, ( -1), 259755693, 134847617, ( -1), ( -1), ( -1), ( -1), ( -1), 489532844, 249716764, 286299736, 587565016, 270569495, 614849523, ( -1), 807235468, ( -1), 926571844, 388078090, ( -1), ( -1), 62901278, 361844422, 971301548, 211587975, 918994041, 545312038, 378037115, ( -1), 996667, 674084155, ( -1), 588044266, ( -1), 575827705, 550121870, 577992780, 468452715, ( -1), 860623111, ( -1), 796771056, 793007399, ( -1), 273795011, ( -1), 327187295, ( -1), 717355504, 490839294, ( -1), 464967220, 541002230, 596034410, 110156154, ( -1), ( -1), 430896414, ( -1), 685913163, 180677609, ( -1), 868146535, 39822500, ( -1), ( -1), ( -1), 969860461, ( -1), 224973376, ( -1), ( -1), 82087162, 875380372, 452792155, ( -1), 241894690, 721405502, 55447273, 428532827, 446773927, 57678223, 458204171, 755937480, ( -1), 121731327, 661348117, 628167334, ( -1), 835006939, 569070348, 432000349, 474859351, 180205163, 471621764, ( -1), 226242098, ( -1), ( -1), ( -1), 440041894, 946964423, 890152187, 672409498, ( -1), 375499085, 699023867, 498638834, 609626812, 924015100, 885562423, 895224585, 901240987, ( -1), 353996936, ( -1), 345680811, 371617306, 396472395, 733046565, 963732882, 768838167, 119427095, 198999035, 305612067, 768356284, ( -1), ( -1), 288241440, 689377133, ( -1), 686205275, ( -1), 377717215, ( -1), ( -1), 983879836, 55239263, 321294768, ( -1), 619559423, ( -1), 184592606, 35514380, 236109028, 678409205, ( -1), ( -1), ( -1), ( -1), 870897289, 590496121, 751696567, 863781390, 296808109, 127272259, 517479409, 417096674, ( -1), 255776819, 507180966, ( -1), 86472754, 20826522, 306620495, 333186921, 263799757, 173757370, 376437191, 800153977, ( -1), ( -1), 137701379, ( -1), 710984424, 363643616, 927755798, 204363140, 602556598, 71857333, 329653626, ( -1), 779229573, 417182601, 473011594, ( -1), ( -1), ( -1), 384509822, 956562295, 683280489, 823293068, 963454426, ( -1), 229764839, 155511972, ( -1), 130315895, 639990232, ( -1), ( -1), 357470947, 966643450, ( -1), ( -1), ( -1), 577894706, 456526099, 226794740, ( -1), 493946051, 59907796, 983875928, 399640517, 452427851, ( -1), 324413662, ( -1), 150136716, ( -1), ( -1), 820757055, 806311968, ( -1), 546548233, 555467593, 177274125, ( -1), ( -1), 285790245, ( -1), 440864442, 354800304, 11361703, 335889338, 247346468, ( -1), 61192979, ( -1), 699197549, ( -1), ( -1), ( -1), ( -1), 205460142, 119749832, 137073423, 931259379, 522565708, 755747248, 265712413, 408558615, ( -1), ( -1), ( -1), 366887789, 461627664, 284105729, 262712099, 961317979, 554073174, 837014191, 898026267, 387763452, 399150374, 333000450, 537133723, 521483187, 250227012, 47930254, ( -1), ( -1), 342616553, ( -1), 715614130, ( -1), ( -1), 587230825, 529207709, 70267631, 299968570, 587622065, 536324019, 941920026, 259680561, ( -1), 727470842, ( -1), 620605942, 230886492, 948841597, ( -1), 69582045, 494684481, ( -1), 549918620, ( -1), 148089131, 696393924, ( -1), 740624582, 938091948, 833977617, ( -1), 639960438, 266312947, ( -1), ( -1), 799804855, 163754486, ( -1), 639258679, 52462237, 977213314, ( -1), 994141330, 222274134, 610437050, 723080001, ( -1), 963620948, ( -1), 241252276, 359771338, 717175237, ( -1), 204983738, ( -1), ( -1), ( -1), 736730010, 376625197, 560256860, 869898285, ( -1), ( -1), 506562076, 526650629, ( -1), 393536743, 742308660, 392837073, 308416437, 413038631, 144074645, 25438096, ( -1), 691372887, 967372686, ( -1), 200722632, 378870340, ( -1), 315447236, 249145057, 632846131, 145165865, 887864043, 111379729, 573328165, ( -1), 629165650, ( -1), 258859066, ( -1), 283747684, 407532389, ( -1), 936611415, 845873509, 42543686, 491804810, 516032106, 536577836, ( -1), 494470129, 596985259, ( -1), ( -1), ( -1), ( -1), ( -1), 775064716, 157185744, 501891021, 787512767, 703260079, 483556316, 482053609, 132274171, 600127021, ( -1), ( -1), 280506111, 684472118, ( -1), 290222281, ( -1), 85596726, ( -1), 694374445, 964701157, 293115046, 336793879, ( -1), ( -1), 452905649, ( -1), 985816416, 799919316, 221132474, 158832267, 140094717, 14440290, 562384814, 387349828, 399155850, ( -1), ( -1), 406749286, ( -1), ( -1), 404485320, ( -1), 390099664, 656746223, ( -1), ( -1), ( -1), 904024832, 904970051, 318461829, 689002393, 789423660, 940607518, 677436424, 523821197, 673436786, 728585955, 730183004, 294034673, 341407566, 879771071, ( -1), 21504029, 128963042, ( -1), 402185548, 710812568, 645764391, 347755451, ( -1), ( -1), ( -1), 975063138, 343920287, 103876487, ( -1), 179669991, 980166866, 997169465, 519051274, 687195447, ( -1), 747004990, 955070425, 516096583, 807602941, 43827029, 834790477, ( -1), 780747805, ( -1), 260679594, 755121982, 33115896, 944831760, 177553650, ( -1), ( -1), 373595819, ( -1), 755621424, 901772822, 493690918, 198653412, 253939092, 375337549, ( -1), ( -1), 43516518, 205812079, ( -1), ( -1), 262344510, 893260312, ( -1), 135249416, 830226220, ( -1), 961316495, 848561908, 99320969, 424578620, 505322280, 804502040, 10951179, 781370908, ( -1), 832402249, 740913221, 102905520, ( -1), 863410535, ( -1), 834948126, 935705283, 882794720, 51278023, ( -1), 14717008, 440369282, 444214404, 402665350, ( -1), ( -1), ( -1), 246164775, 516031907, 508576675, 101983924, ( -1), 507034249, 410453594, 274408166, 231219315, 292837769, 997943241, ( -1), ( -1), 688957173, 718177113, ( -1), 256099065, 908198895, 61255187, 934579510, 166335488, 986693988, ( -1), 351166196, 531387401, 568222888, 904291612, 143680695, ( -1), 834121647, 734854090, 467885379, 145605196, 504659138, 301533469, 203729679, 688189693, 168806135, 631215909, 24506492, ( -1), 550841851, 376392477, 239695839, 251128128, 746255293, 945893984, 299041197, 990911043, ( -1), 39471331, 915435277, 18610947, ( -1), 806003158, 267491149, 501697406, 453472503, 312269131, 811192795, 889755977, 158279130, 292092712, 18581145, 11365107, ( -1), 476680239, ( -1), ( -1), 402146002, 602073358, 432423905, ( -1), 885555816, ( -1), 789491031, 794487761, 824579897, ( -1), 780206942, 243974413, 271608751, 932964428, 255214156, ( -1), ( -1), 435692290, 866553240, 549972040, 102442710, ( -1), 737754634, ( -1), 867514659, 198008798, 430138538, 403567411, 579373149, 8377091, ( -1), 616219752, ( -1), ( -1), 134503815, 672221273, 139206601, 463539338, 449418633, ( -1), ( -1), 867070754, 234194948, 773775036, 672507616, 695805295, 318840880, ( -1), ( -1), ( -1), 879030095, ( -1), 304001413, 724105657, 55496047, ( -1), ( -1), ( -1), 565941881, 568739606, 955795301, 879715702, 373488269, 812020562, 962368107, 302991906, 690222206, 656773108, 602238927, 86868480, 806218697, ( -1), ( -1), ( -1), ( -1), 820695186, 84528960, 401418047, ( -1), 579066496, 869725643, 789428336, 272617895, ( -1), ( -1), 624378808, 286834098, 187413552, 27563898, ( -1), 687695162, ( -1), 855452139, 522924716, 394256372, 982018735, 662145669, ( -1), ( -1), ( -1), 235939038, 626155373, 109121489, ( -1), 202113561, 281484437, ( -1), 596901976, 897422854, 235099398, 178722932, 790881264, 502039429, 699444937, ( -1), 483730685, 870220955, 86453386, ( -1), ( -1), 956106072, ( -1), ( -1), 797314766, 918887246, 596654625, 961612250, ( -1), 841187843, 895758627, 97358238, 932524056, 421822381, 468271617, 456064940, 211723180, 580818125, 956727375, ( -1), ( -1), 474300373, ( -1), 127182671, 538623147, 655670763, ( -1), ( -1), 524368755, 926503507, ( -1), ( -1), ( -1), 301729519, 943498437, ( -1), ( -1), 69514548, 334869615, ( -1), ( -1), ( -1), 913297153, ( -1), ( -1), 302934488, 640299726, 811373791, ( -1), 954204674, 445104640, 959483591, ( -1), 629154620, ( -1), ( -1), 164205354, 35482737, 728253508, 350168603, 128935938, ( -1), 881904123, 490858813, ( -1), 282242087, ( -1), ( -1), 770330689, ( -1), 693103980, 423387588, 239560913, 722042105, ( -1), 657242429, 81517546, ( -1), ( -1), 580445954, ( -1), 880024050, 222395347, ( -1), 287475063, 482381164, 819047549, 747359498, ( -1), 622718346, ( -1), ( -1), 799543803, ( -1), 812033404, 361163041, 312221780, 263621608, 659094465, ( -1), 13688541, ( -1), 38479918, ( -1), ( -1), 60193920, 988372192, 225721817, 561706557, 9248445, ( -1), 321307659, ( -1), 918851553, 701191211, 325262304, 690408817, ( -1), ( -1), 501801223, 809073066, 81479935, 507072775, ( -1), 140446483, 716805938, 230773158, 387029011, 456552152, 207391561, 998208082, 4872196, ( -1), ( -1), 268672105, 620452104, ( -1), ( -1), ( -1), 790287508, 436925743, 892256410, 360431959, ( -1), 813386135, 923895820, ( -1), ( -1), ( -1), ( -1), 143775685, ( -1), 847826590, 69720792, 383285875, 532239710, 997946904, 816399990, 589138808, 696373084, 481533122, 923441380, ( -1), ( -1), ( -1), 805493877, 429403858, 154018608, ( -1), ( -1), ( -1), 903453230, 62578924, 339770912, 829132505, 976432921, 987385144, 16620343, 724114770, ( -1), 714924286, 643806735, 16700034, 115452805, 490446290, 301058058, ( -1), 745534960, ( -1), ( -1), 173627972, 759426914, 473123518, 581998326, 772611591, ( -1), 607429971, ( -1), ( -1), 97597838, 555900436, 326719432, 662931084, 226682776, ( -1), 389789151, 646029493, ( -1), 369049287, 843839191, ( -1), 971828814, 662260261, ( -1), 31434116, 708700466, 195136542, 425516097, ( -1), ( -1), ( -1), 630136591, 94677727, 614555686, 728141828, 549515496, 823964527, 568585115, 881041587, 859316327, 606333958, 829582911, 480322058, ( -1), 902467931, 556320643, ( -1), 328525472, 915583728, 423655469, ( -1), 281320220, 673829228, 403973291, ( -1), ( -1), ( -1), 341271442, ( -1), 546110180, 853855431, 800855824, 58106232, ( -1), ( -1), 709841585, 189902429, ( -1), 707775519, 471221933, ( -1), 11147259, 209190466, 760542321, ( -1), ( -1), ( -1), 232426480, 335298320, 345022507, 546439573, ( -1), 637216266, 706063183, 312975550, 984500096, 960369368, 272111190, 478683526, 930625913, 93790666, 196154381, 119423700, 27792205, ( -1), ( -1), 397593104, 600320575, 408675974, ( -1), 769567154, 655855720, 459758363, 155210110, 820219866, ( -1), 103811014, 59499619, 271346168, 332505354, 576057912, 75626883, 194028396, 911322217, ( -1), 35473742, ( -1), 521179462, 838088085, 87297363, 781637222, ( -1), 310504915, ( -1), 8541635, 312898358, 223694080, ( -1), 628379783, ( -1), 929781784, 416673239, 909498172, 433054097, ( -1), 877563689, 360838981, 348928336, 661474471, 319726226, 897356186, 8370613, ( -1), 910420124, 714849387, ( -1), 555553344, ( -1), ( -1), 44335523, 89275888, 398165285, 717225859, 116453587, 25901773, 408063782, 610919772, 694024028, 840212901, 73044923, 786711378, 615172676, ( -1), 261152828, 834882685, 807056524, ( -1), ( -1), ( -1), 543304619, ( -1), 843814764, 652732903, 736688084, ( -1), 495708159, 391781795, 747224825, 764402197, 182217177, 112032795, ( -1), 536963245, 620265781, 443791920, 826557514, 715030648, 118815955, 346249542, 165481695, ( -1), ( -1), 602084704, 330539161, 39797554, 718086639, 372748260, ( -1), ( -1), 398494767, 873441354, ( -1), 626861068, 826321382, ( -1), 2791813, 837560701, ( -1), ( -1), ( -1), 792184149, ( -1), 267310349, 954335850, 974552784, 289668157, 734888686, 221221470, 746020454, 820972420, ( -1), ( -1), 671681719, ( -1), ( -1), 21675192, ( -1), ( -1), 902713640, ( -1), ( -1), 992400968, 206413405, 585377923, ( -1), ( -1), ( -1), 358282223, 386661604, 468726730, 595708768, ( -1), 96816203, 482898719, ( -1), 466266167, 563901128, 717212163, 473238027, ( -1), 587105331, 553746805, 878781803, 661190252, ( -1), 850413024, 136692319, ( -1), ( -1), 659412666, 383178823, 634141559, 952145572, 381669873, ( -1), ( -1), 27447759, 174749488, ( -1), ( -1), ( -1), 17896659, 584568418, 592966997, 499288786, ( -1), 452844509, ( -1), ( -1), 768026957, 78792102, 593797240, ( -1), 435364892, 134817665, ( -1), 958614131, ( -1), ( -1), ( -1), 30665059, 596957705, 987463588, ( -1), 614656345, 732373647, ( -1), 188480351, 62700765, 505847592, 11731875, ( -1), 169560349, 66879616, 807251490, 182874508, ( -1), 883678030, 612256927, 359375148, 123718374, ( -1), 898676284, ( -1), 232955899, 115180182, ( -1), ( -1), 328577228, 889911646, 372877900, 656996967, 381608985, 29187817, ( -1), 735212459, 415122273, 738089151, 839579709, 949035300, 295875238, 182959178, 530023177, 451632620, 499439492, 176413068, 341428308, 150890542, 458946220, ( -1), ( -1), ( -1), 867295132, 404698984, 492631843, 677334748, 98534090, 839114776, ( -1), 914134438, ( -1), 936701594, 176314863, 818959399, 21325649, 925654345, 392091728, 955283556, 707395421, ( -1), 355691125, 978160902, 517375355, 729664269, 222941820, 675105412, 606830412, ( -1), 107617914, 219357138, 873569310, 773072896, 268239222, 976935734, 996148944, 826068595, 674685332, 701498981, ( -1), 694257904, 519461373, 52374828, 336478311, 268248314, 326292966, 910704023, 489948051, 90233638, 441024326, 879915702, 790462032, 316786685, ( -1), 125531834, 824202870, 934022769, ( -1), ( -1), ( -1), 343526959, 440088259, 572430341, 48145751, 341068426, ( -1), ( -1), 543858747, 434631628, ( -1), 310341473, 605278433, ( -1), 953319055, 553670650, ( -1), ( -1), 199934294, 357820270, 865810795, 984404352, 561736854, 391548913, 90576368, 725023205, 12320276, ( -1), 819936460, 317176759, ( -1), 574695918, 583856670, 337123468, ( -1), ( -1), 547231843, ( -1), ( -1), 918616142, 820438760, 156931573, 681416799, 147396937, 586250733, 220542736, ( -1), ( -1), 639791508, 662183241, ( -1), 467803746, 152987626, 955215245, 141648143, 938510446, 974197264, 94570637, 991325784, ( -1), 454191726, 411186011, ( -1), 465367575, 347080288, ( -1), 432611895, 531909358, ( -1), 290546185, ( -1), 665872378, 283306603, ( -1), 322467410, 979679932, ( -1), ( -1), 115048684, ( -1), 473782132, 273428825, 525335621, 222163901, 40565044, 201646912, 436772393, ( -1), ( -1), 805269362, 164692873, 651746845, 312078266, ( -1), ( -1), ( -1), ( -1), ( -1), 682459411, 311402327, 776124635, 429261802, 577759952, ( -1), ( -1), ( -1), ( -1), 456549093, ( -1), 22058410, ( -1), ( -1), 393595958, 661234040, 534747120, 868095190, 370961477, ( -1), 5947995, 774604923, 896557090, 163675605, 318206137, 884976639, ( -1), ( -1), 912343375, 582133445, ( -1), 508117484, 547658634, ( -1), 560304367, 464779838, 457278694, 540483156, 146538474, ( -1), 166997775, 99927406, 292173888, 830672381, 552655527, ( -1), 321618331, ( -1), ( -1), 662235218, 429503140, 204815982, 251302933, 902614144, ( -1), 709900812, 853948400, ( -1), 518364594, 387770629, 227583170, ( -1), ( -1), 206251820, 197377129, 735325644, 575609416, 888536509, 666803248, 287273101, 722464039, 170858065, 689950387, ( -1), 88073280, ( -1), ( -1), 450429190, ( -1), 722282212, 550385292, 319485023, 810538037, 828846291, 573855321, 58617309, ( -1), 425544182, 877937676, 987142742, 403923427, 718064078, 747784550, 754185130, ( -1), 425143764, ( -1), ( -1), 935362677, ( -1), 67887793, 302939348, ( -1), ( -1), 55338833, ( -1), 673170696, 78874569, 548260760, 332605907, 738018314, 466130225, 560808088, 606941561, 482123226, 274542691, 341793180, 466503815, 105569440, ( -1), ( -1), 795902137, ( -1), ( -1), 794487242, 876081982, 106329115, ( -1), 937747592, 605923223, 261307226, 860034646, 55167986, 216204085, ( -1), 620150812, 398135971, 443103893, ( -1), 823016833, ( -1), ( -1), ( -1), ( -1), 820346350, 915352003, 359568924, 339572165, 233147084, ( -1), ( -1), 429865711, 51305330, 925786902, ( -1), 994542202, 354577998, ( -1), ( -1), 217841808, 765097682, 466555008, 580632682, 875971942, 48254498, ( -1), 58981022, 820326368, ( -1), 657478004, 459569509, 272011138, 95253777, 820931550, 923780258, 405821027, ( -1), ( -1), 304476223, 308801123, ( -1), 172258338, 151551880, 612817248, 453106565, 620073110, 234556774, 617569267, ( -1), 638096972, 107742836, 652324068, 345068048, 302739661, ( -1), 490193217, 43512421, 67675813, ( -1), 561267853, ( -1), ( -1), 473779597, ( -1), 613719556, 220243339, ( -1), 710854235, ( -1), 282389867, 35526815, 303860936, 818696147, 329234810, 226725175, 147814136, 969502489, ( -1), 659942433, ( -1), ( -1), ( -1), 325168771, ( -1), ( -1), ( -1), 403262272, 344589019, ( -1), ( -1), 484539910, ( -1), ( -1), 987395291, 990153148, ( -1), 963508475, 87778314, 166400004, 193067122, 917309401, 673523834, 669904613, 77282399, 83353863, 938063729, 542396370, 191190139, 132248695, ( -1), ( -1), 325245823, 854572463, 763278961, 765906637, 252097215, ( -1), 802813527, 439739611, 737125501, ( -1), ( -1), 902069112, 781282341, 405740618, ( -1), ( -1), ( -1), ( -1), 165733698, ( -1), 769726300, 187561651, ( -1), ( -1), 754755233, ( -1), 974246305, ( -1), 526148823, 569463189, 437086983, ( -1), 720658252, 197326333, ( -1), ( -1), 325494443, 116476882, 150794799, 47566126, 751139264, ( -1), ( -1), 853906574, 558606769, ( -1), ( -1), 677369776, 309835571, 97622394, 485454776, 287884031, ( -1), 80870804, 705054089, 521510271, 299032285, 786864779, 596050175, 61107018, ( -1), 156935942, 503193779, 246828587, 687882879, 405566685, ( -1), 816518713, 519623726, ( -1), 554787106, 788244702, 10780779, 937496977, 480967712, ( -1), ( -1), ( -1), 494579979, 891650420, 355500845, 636377356, ( -1), 210814313, 248355218, ( -1), ( -1), 860942745, 839643295, 56392533, ( -1), ( -1), 789744552, 508012260, 253531725, ( -1), ( -1), 157176838, ( -1), ( -1), 287448239, 14121935, ( -1), 131439068, 788236886, 379110769, 121547072, 76112502, 82526928, ( -1), ( -1), ( -1), 969714166, 499980107, ( -1), 614059254, ( -1), 187578503, ( -1), 595206853, 867619745, 781518852, 126889744, 534717497, ( -1), ( -1), 696959689, 643205453, 637520053, 994207676, 798349560, 221406611, 18975276, 344962451, 355125279, ( -1), 323520341, 869782287, 465787875, 373764654, 390553011, ( -1), ( -1), 971260600, 415133631, 115774855, 508693714, 245386059, ( -1), 579275795, 455651802, ( -1), ( -1), ( -1), 607950028, ( -1), ( -1), 775574200, ( -1), ( -1), 687543031, ( -1), 146673675, 483324891, 966592110, 603416509, 110994968, 442585875, ( -1), 424203040, ( -1), 537272482, 306548114, 763091413, ( -1), 531121203, 890793801, 368936012, ( -1), ( -1), 244299609, 717103908, ( -1), ( -1), ( -1), 436217735, 77284967, 476964126, 23142694, ( -1), 545411945, 123323286, 452354651, 622140529, 782294928, 153523576, 221742542, 715339968, ( -1), 761200866, 95389383, 834100612, 340653547, ( -1), 185935157, 274658770, ( -1), 330653255, 349970519, ( -1), ( -1), ( -1), ( -1), 150652244, 311097200, 394832186, 593724551, ( -1), 935012779, 604889431, ( -1), 953408728, ( -1), ( -1), 487827654, ( -1), ( -1), 793123764, 400222637, 882946334, 845465516, 811851905, 969040805, 306779607, ( -1), 445817166, 521411136, 72934620, 191215469, 529819487, 805130085, ( -1), ( -1), 403302201, 454308882, ( -1), ( -1), 88257734, 515703872, ( -1), 235903081, 965842475, 52432532, ( -1), 4535387, 258126989, 913390503, ( -1), 914992877, 265295590, 817196157, 455488981, 181798522, ( -1), 545938559, ( -1), 194733815, 428615857, 49072973, 448778693, ( -1), 525688296, 857560764, 724099965, ( -1), 856505076, 295003457, ( -1), ( -1), ( -1), ( -1), 400903205, 27931452, 414867452, 647825402, 160538491, 557167514, 606586540, 975194829, ( -1), ( -1), 607148490, ( -1), 714874152, 41032504, 637257083, 631672448, 555355043, ( -1), ( -1), 127392035, 580652498, 442350895, 156540175, ( -1), ( -1), 140988104, ( -1), 455124374, ( -1), 232931710, 461902828, 561597392, ( -1), 534591216, ( -1), 244205232, 556030951, 110281574, ( -1), 575818252, 873531604, 892156429, ( -1), ( -1), ( -1), ( -1), ( -1), 4972968, ( -1), 282042905, 461549933, ( -1), ( -1), 778666397, 811058684, 338142332, ( -1), 906450737, 79264262, 798026816, 997181881, ( -1), ( -1), 135346820, 826648625, 952705707, 324209932, 228005534, ( -1), ( -1), 297661131, ( -1), ( -1), 20841281, 831816263, 725040627, ( -1), 706788014, 787000670, 509545789, 716303861, ( -1), 445836809, 421505871, ( -1), 806970757, ( -1), 115602173, ( -1), 443410460, 401011144, ( -1), ( -1), 342278946, 751543952, 196310028, 792475388, 480481055, 858558768, 122791063, 737098571, 146076157, 136430584, ( -1), 236891601, ( -1), 72150896, 797610361, 290305545, 37685576, 30411459, 278126738, 731349646, 341275698, 397499800, ( -1), ( -1), 61793177, 571976152, ( -1), ( -1), 268812268, 89783496, 211043038, 606190101, 539117598, ( -1), 488929071, 547547392, 896164215, ( -1), 140834402, ( -1), 184037476, 262411213, 486373950, 873945275, 843170086, ( -1), 754968639, ( -1), ( -1), ( -1), 484705824, ( -1), 154966195, 16891149, ( -1), ( -1), 783621742, 579771369, 401087405, 566009837, 379737402, 567318654, 476427141, 74470141, 945906463, 696617756, 597045425, 593260941, 87759731, 633578010, 439022481, ( -1), 764809726, 802305075, ( -1), 6880708, 575062497, 782418962, 827603140, 180252385, 397359142, 773129379, 141893379, 676608528, 148482507, 679408444, 416982381, ( -1), 172665612, 510126740, 154309852, ( -1), 365761850, 949463547, 332260321, 819625907, 955877820, 845493970, 719620929, ( -1), 63986534, 578697682, 506282005, ( -1), ( -1), ( -1), ( -1), 656829568, 749555097, ( -1), 494386567, 437783025, 975151981, ( -1), 994221503, 890179063, 940076034, 213058750, ( -1), 920199918, ( -1), 464385070, 945316049, ( -1), 618441236, 861641295, 563816419, 708849411, ( -1), 733730616, 876606835, 624805815, 249026344, 606395361, 566127795, ( -1), 517951756, 901903651, 793706152, ( -1), ( -1), ( -1), ( -1), 701892212, ( -1), ( -1), 534153611, 833399794, 875137587, ( -1), 794605129, ( -1), 925534121, ( -1), ( -1), 996811652, 884480430, 558181825, 79144425, ( -1), ( -1), 503945663, 161361241, 663550880, 216372612, 611796642, ( -1), 914463019, 185938233, 317570841, 766959460, 304205793, ( -1), 221047652, 591676945, 879929010, 293841855, ( -1), ( -1), 64592963, ( -1), 25721251, 543263829, 220028273, 709202029, 177111478, 956750204, 741826646, ( -1), 24460581, 477395552, 854555642, ( -1), 359882119, 239177359, 577195795, ( -1), 330132961, ( -1), 569573244, 545963899, ( -1), 340978270, 837325637, 332078119, ( -1), 914466463, 855993879, 429010447, 235034830, 6310362, ( -1), ( -1), ( -1), 711064109, ( -1), 635389551, 828015626, 973870674, 545823813, 652192685, 740486659, 127837970, 867710810, 528368432, 321400321, ( -1), 220533409, ( -1), 372685870, ( -1), 590106925, 988023159, ( -1), ( -1), 785433442, ( -1), ( -1), 977118554, 840647845, 884058870, ( -1), ( -1), ( -1), 178030222, 846861689, 994446254, 834256959, ( -1), 67947291, 753549588, 82360584, 595052742, 87958225, 685873876, 255485188, 177529198, ( -1), 150922814, ( -1), ( -1), 255786323, ( -1), 927178817, ( -1), 230764769, 912091652, 763745732, ( -1), 433752498, 168424807, ( -1), 947258311, 400390423, 618590619, ( -1), ( -1), 914197341, ( -1), 403490732, 72456774, 460424973, ( -1), 830973339, 663277660, ( -1), ( -1), ( -1), 372588830, ( -1), ( -1), 185458659, ( -1), ( -1), ( -1), ( -1), 754572743, 284459817, 252617247, ( -1), 974658824, ( -1), 877116181, 102112508, 96030326, ( -1), ( -1), 765539051, ( -1), 11070207, 164446351, 658365360, ( -1), 701127459, ( -1), 164433036, 61377005, 919306304, 360133687, 967826225, 731304602, ( -1), 658561487, 913417329, ( -1), ( -1), ( -1), ( -1), 543991168, 351692246, ( -1), 151931641, 333011292, ( -1), 564287338, ( -1), 951484597, ( -1), ( -1), ( -1), 196837290, 809147198, 55439878, ( -1), 242656445, ( -1), 790259904, 38207213, 870262877, 655151110, 474940776, ( -1), 348256402, ( -1), 519907817, ( -1), 178226574, 218848923, 444453463, 998355928, ( -1), 423966636, 344247359, 479697662, ( -1), ( -1), 647504394, 404864391, 619739338, 547585285, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 854919648, ( -1), 751781502, ( -1), 225452385, 864423192, 23458162, 283247883, ( -1), ( -1), ( -1), ( -1), 517129871, 940202349, ( -1), ( -1), 26737112, 444163373, 18183489, 56164056, 13581006, 661893759, ( -1), ( -1), ( -1), 632965659, ( -1), 855423791, 281775856, 986295274, ( -1), 305610532, ( -1), 306940923, 579065412, 371577551, 637350303, 766796123, 628161033, ( -1), ( -1), 152554974, 592953486, 658644134, 358301847, 738124051, ( -1), 304828282, 567446118, 47114315, 241265944, 117525629, 773572477, ( -1), ( -1), 664624628, ( -1), 962834403, 183832717, 230937547, 380919565, 489776875, 87212762, 765076035, 95190444, 573246940, ( -1), 252720914, 87381751, 343117042, ( -1), 955121156, 442923147, ( -1), ( -1), 219093478, 107671021, 590973540, 958386381, 514206463, 981335077, 139046515, 69491460, 697285592, ( -1), 910944316, 224314840, 270590399, 911786378, ( -1), 589028755, ( -1), 950517210, 563377367, 597291962, 154720899, ( -1), ( -1), ( -1), 697288361, ( -1), ( -1), 747900670, 150345581, 481402912, 275375530, 599217624, 908368255, ( -1), ( -1), 431371863, 252060279, 877008136, 443979534, 584679156, ( -1), 235959469, 730190544, 287701944, 886113210, 663910242, ( -1), 862693717, 176544613, 768927730, ( -1), 919459812, 697604631, 776626473, 130558862, ( -1), 723872303, 295839906, 666398510, 103077501, 795649893, 193488583, ( -1), 299669541, 570873679, ( -1), 298003382, 379532777, 721653743, ( -1), 498741543, 276320357, 466923820, 349630100, 390220906, 613360913, 677217365, 410874226, 121614047, 771695995, 106019725, 52469243, ( -1), 68597930, 983855798, ( -1), 643796750, 625455763, 144651175, 22148545, 224228138, ( -1), 530840382, ( -1), ( -1), 79599078, 524025279, ( -1), 844134600, 649103255, ( -1), 101879427, 136201663, 406025921, 299539204, 372278303, 327410097, 193578283, 859155700, ( -1), 17671062, ( -1), 773242236, 263952895, 893347845, 820154762, 36148377, 501817979, ( -1), 552606213, 296155002, 185508371, 866717094, ( -1), 453494696, 184270662, 594983747, ( -1), 97060621, 119776962, 221781936, 652027212, 317440802, 885531304, 286399607, ( -1), ( -1), 143530275, 592544306, ( -1), ( -1), 714803416, ( -1), ( -1), 734964235, ( -1), 539510310, 779914295, 430510835, 634719392, 58456380, 47079620, ( -1), 267072647, 389468145, 982098055, 284786832, ( -1), 19461430, 653472911, ( -1), ( -1), 580085454, 39632486, 533640165, 997964362, 938694963, 504114817, ( -1), 702707885, 961545827, 431810528, 33632202, ( -1), 346005229, 437347244, 700740789, 727249049, 38259444, 840442607, ( -1), 28029516, 454629428, 678270812, 394488543, 550934640, 745317511, 942929880, 358289064, 589404619, 409562953, 999472870, 197682096, 403886638, 722910833, 349192208, 148055697, 289845622, 95149221, ( -1), ( -1), 448120122, ( -1), ( -1), ( -1), 20114499, ( -1), 724196169, 360138675, 584649526, ( -1), 229609058, 716847718, 380604301, ( -1), 450942589, 343464262, ( -1), ( -1), 114062829, 425341902, 754139979, 710148508, 833137466, 428254050, 286754324, 86267350, ( -1), 29218734, 597356932, 940462108, 467610974, 442988538, ( -1), ( -1), 938757482, 877824592, ( -1), ( -1), 735875944, 409060695, ( -1), ( -1), 565954012, 235628961, 702168058, 416953391, 976477562, 867923041, 626766659, 127477195, 459007052, ( -1), 247765428, 346423755, 539620120, 603006587, 387279142, 115407303, 233409817, 234874072, ( -1), 345109485, 628606041, 250298291, 838540955, 120173771, 445767364, ( -1), 882972406, ( -1), 600691251, ( -1), 695850210, 261861728, ( -1), ( -1), 756746333, 822702784, ( -1), 349671938, 815779817, 119900758, 51016325, 793093881, ( -1), 900754224, 626966322, 673417490, ( -1), 365921852, 730662947, 84687956, ( -1), 486406940, 787969402, 132254684, 860811716, ( -1), 822851729, 516463944, ( -1), 141978194, 447633581, 578565773, ( -1), ( -1), 352486929, 765645261, ( -1), ( -1), 732022051, ( -1), 17602051, ( -1), 429672818, ( -1), 731161529, 349458405, 863898518, ( -1), 899071457, 353914723, 937985681, ( -1), ( -1), 437999607, 444345302, 487431242, 416235936, 169070507, 917716733, 860193870, ( -1), 64258855, 52407352, 763280375, 909647463, 68147280, ( -1), ( -1), 734448390, 277306170, 58605798, 163519354, 471166152, 60366876, 134104104, 815516137, ( -1), ( -1), 334735963, 415157167, 779427421, 849512083, 957073336, 817050682, 459670068, 909872406, 244436375, 247928815, ( -1), 872426488, ( -1), ( -1), 431740987, 767942005, 135082390, 123615956, 899534311, 509936933, 536202976, 987861688, 491268776, ( -1), ( -1), ( -1), 905830321, 705827701, 220873934, ( -1), 710483160, ( -1), 368527905, ( -1), ( -1), ( -1), ( -1), 250017508, 441165173, ( -1), ( -1), ( -1), 358111446, 174197542, 863111962, 81619139, 403726138, 753459038, 254327746, 182783415, ( -1), 379485296, ( -1), 190435171, 373607090, ( -1), ( -1), 998102432, ( -1), ( -1), 276901506, 956314186, ( -1), 897208510, 570183169, 677157214, 229487251, 636296475, 30949494, 517674006, 79625477, 753397358, ( -1), 972240312, 634344151, 153432816, 988416269, 674752561, ( -1), 323797856, ( -1), ( -1), 886100858, 887186661, 989494140, 287718749, 582289363, 570805731, 144836185, 175484267, ( -1), ( -1), ( -1), 592360684, 60066032, 433543205, 879675814, ( -1), 655714737, 797315555, 445248908, 60728721, 754988148, ( -1), ( -1), ( -1), 721450484, 635016350, ( -1), 794189283, 952636205, ( -1), 783124689, ( -1), ( -1), 210721965, 833035827, ( -1), ( -1), 455688277, ( -1), ( -1), ( -1), ( -1), 905463804, ( -1), ( -1), 60687853, 211881197, ( -1), 557704754, 109729815, 46815846, ( -1), 194384391, 282121616, 549257144, 692755803, ( -1), 411367508, ( -1), 464504880, ( -1), ( -1), ( -1), 168263274, 722248931, 325244414, 287510524, 901071023, 268865106, 686002469, ( -1), 749343959, 457270177, 646440882, ( -1), 220577698, 414107624, 166416856, ( -1), 438685500, 279016196, 809704368, ( -1), 399609231, ( -1), ( -1), 78499158, 857421368, 567950995, ( -1), 990701143, 354145936, 591873392, 923276960, 129879295, ( -1), 238920795, 639203404, ( -1), ( -1), 921212910, 638246975, 706937772, 900097702, 4105357, ( -1), ( -1), 521610142, 185465645, ( -1), 115749747, 597804335, ( -1), 495151339, 316289108, 925024406, 927272689, 856214341, 838932968, ( -1), 173102554, 710162744, ( -1), 944129972, 814133467, ( -1), 601284257, ( -1), 209153160, ( -1), ( -1), ( -1), 688372877, ( -1), 879406650, ( -1), 686486584, 195849846, ( -1), ( -1), 927376801, 386221292, ( -1), 118848927, 149954755, 896737635, 773877963, 481022103, 188799772, 323297134, 180081664, 113555814, ( -1), 124709774, ( -1), 997292422, ( -1), 557392510, ( -1), 871369971, 517639603, 704307466, 573613531, 572048797, 501812941, 401642346, 659692315, 298680868, 533596169, 687532375, ( -1), 687457632, ( -1), ( -1), 631096891, 208596102, ( -1), 207885328, 590984406, ( -1), ( -1), 174544104, 139219791, 580109452, 44912421, 258113092, 84726326, 890077411, 224126732, 292130555, ( -1), 972001541, 736994535, 351773530, 759019828, 705590823, ( -1), ( -1), ( -1), 414310044, 534213558, 879952561, 391554570, ( -1), ( -1), 401823070, 163462272, ( -1), ( -1), 768790782, ( -1), ( -1), ( -1), ( -1), 211434530, 11802695, 57600403, 510734733, 911501604, 229280561, ( -1), ( -1), 23063408, 240680132, 805649294, 296620167, 547491221, 212206273, 768462325, 261197204, 16298278, 871696534, ( -1), 840833298, ( -1), 856910729, 239197504, ( -1), ( -1), ( -1), ( -1), 135704086, 840224366, 296942439, 706913683, 317093950, ( -1), 294320272, 186063724, 940744835, 733359096, ( -1), ( -1), 588611868, 732511006, 838433695, 431964492, 152114383, 262457721, 937201316, 731407429, 190598580, 31486043, ( -1), 331610484, 838669387, 158680019, 101601002, 288197424, ( -1), 944518625, 6184753, 121322939, 712549788, 883592328, 904434238, 964709640, ( -1), 338487050, 570501244, 88824784, ( -1), 108401189, 882357707, 4471, 392316783, ( -1), 372216768, 801883031, 409829614, ( -1), ( -1), 895347255, 823667333, ( -1), ( -1), 769900545, ( -1), ( -1), ( -1), ( -1), 982856186, ( -1), 61983302, 229573947, 859308281, 188482345, 93782702, 268144633, 36161986, 767490743, 645675782, 476851331, ( -1), 45811852, 146830603, ( -1), ( -1), 334415323, 17519004, ( -1), 877872198, ( -1), ( -1), ( -1), 352388602, ( -1), 659982293, ( -1), 888190487, 327659970, 243657167, 84152109, ( -1), 651709618, 139842727, 324961151, 343805957, 993595765, ( -1), 896752492, 286382109, 799143204, ( -1), 934973182, 340605083, 422519630, ( -1), 810307019, 227181742, 636010376, 482127698, 923551535, 465763821, 121507611, 956377072, 877688365, 49126363, 664844297, ( -1), 427913283, 421485094, ( -1), ( -1), 145621301, 676429726, ( -1), ( -1), 368343962, 521391374, 694895390, 876891042, 214149915, 568690244, 59666033, ( -1), 44944574, 806989538, ( -1), 880976856, ( -1), 560222882, ( -1), 678929458, ( -1), 681801551, 419173545, ( -1), 638319349, ( -1), 659560724, 700688176, 138955442, 999459926, 868819319, 83499979, 755270723, 430682761, 304743272, 627075514, 697540912, 603343700, 845963378, ( -1), 450240241, ( -1), ( -1), 775934092, 327487813, 430667198, 348708211, 686144164, 471574703, 356549322, ( -1), 556812143, 461954058, 524190818, ( -1), 43664833, ( -1), ( -1), ( -1), 408749521, 288305391, 834680009, ( -1), 780962966, ( -1), 634140207, 352457774, 152260111, ( -1), ( -1), 183100663, ( -1), 62103998, 735954262, 841743382, ( -1), ( -1), 399721767, ( -1), 363415041, 659142191, 887255371, 638476131, ( -1), 829970596, 495426638, ( -1), 263878819, 26256958, ( -1), 961780942, ( -1), ( -1), 874245411, ( -1), 872759710, ( -1), ( -1), 822545448, ( -1), ( -1), 879037813, 301753441, 821972310, 446347072, ( -1), ( -1), ( -1), 763222143, 772378397, 382742860, 99169101, 271732991, ( -1), ( -1), 936330800, ( -1), 268644356, ( -1), 979144874, 248643388, 564797261, 235761340, 595157178, 856011801, ( -1), 103075301, 462104383, 921897252, 755351965, 938503753, 3318497, 265527948, ( -1), 78992868, 15332063, 610347027, ( -1), 643671803, 655569991, 814426437, 797578991, 158319917, 595789812, ( -1), 801769810, 268078109, ( -1), ( -1), ( -1), 84031725, 507943646, ( -1), 948301412, ( -1), ( -1), 173342629, 16657881, 333215206, 233866643, ( -1), 563981898, 44461761, 289711107, ( -1), 865909654, ( -1), 540536516, ( -1), ( -1), 200154726, 892487746, ( -1), ( -1), 857152709, ( -1), ( -1), ( -1), 612196922, ( -1), 747240095, 802612885, 674756410, ( -1), 742927253, 711887577, 476240047, 540468798, 329438545, 265058358, ( -1), 242810908, 898551980, 890049364, ( -1), 220363714, 615157294, 803722074, 977074245, 347533661, 156544452, 959974935, 417013284, 278738004, 493988634, ( -1), 398202377, 271362477, 399219396, 382650670, ( -1), 150313430, 216675817, 884514551, 490578068, 751692853, 901373443, ( -1), ( -1), ( -1), ( -1), 560715070, ( -1), 739488186, 485978752, 23637687, 76573810, 634744268, 205256657, 252916552, 693754491, ( -1), 108456430, ( -1), 972933044, 91878313, 261082556, 537201373, 237604671, ( -1), 597650536, 130208839, 997774644, 218847114, ( -1), 475826379, 499940700, 835036729, 463918474, 360996698, 421023754, 122677567, ( -1), ( -1), 472121712, 429411680, ( -1), 987745964, 932962433, 521303473, 788128634, 931482634, 398257929, ( -1), ( -1), ( -1), ( -1), 254994737, 385796173, 4049427, 463512916, 893572453, 314184942, 919577972, 465498394, 694646879, ( -1), ( -1), 361757824, ( -1), 382364514, 648305242, 774378250, ( -1), 10475610, 898765677, ( -1), 196077894, 53108236, 343940910, 806825406, 866969568, ( -1), ( -1), ( -1), 693472176, 371565218, 827823123, ( -1), ( -1), 590245721, 240683434, 217777228, ( -1), 630952094, 721070347, ( -1), 678916226, ( -1), ( -1), 33491709, ( -1), 541509552, ( -1), 988393846, ( -1), ( -1), 950061132, 922818375, ( -1), 27082648, 361501717, 897014440, ( -1), ( -1), 70888802, 714440778, 731273639, ( -1), 370916092, 92711809, 311420464, 693691664, 934524521, ( -1), ( -1), ( -1), 954598126, 981570118, ( -1), ( -1), 596835233, 430581422, 942982593, ( -1), 448356644, 597665227, ( -1), 866144780, 345549440, 243538847, 72456928, 53479445, ( -1), 938744790, ( -1), 740372780, 526908342, 760585673, 563068763, 435899516, 882388915, ( -1), 657010665, ( -1), 345500689, 569395461, 822132162, ( -1), 600667829, 995244635, 460185844, 398694569, ( -1), ( -1), 946197078, 991020931, 165549725, ( -1), 760933107, ( -1), 240785125, ( -1), ( -1), ( -1), 550853152, 21111259, 529535975, ( -1), 265152120, 187950449, ( -1), ( -1), 716197942, 280328669, 800808483, ( -1), 993287630, ( -1), 121647348, 386077508, 428823733, 186099443, ( -1), 545537454, 48707908, 164825860, 502055988, 419732201, 299507841, ( -1), 775024575, 151311299, 386939119, 454804334, 891180722, 865705396, 894016507, 583335614, 340209989, 874565325, 372908700, 989060763, 433851954, 534228658, 580622531, ( -1), 705103312, 360514499, 795305879, ( -1), ( -1), ( -1), 845630379, ( -1), 824125703, ( -1), 579205546, 627811250, 841384240, 778093522, 64807538, ( -1), 419083128, 326084399, 598670901, 241969631, ( -1), 643318582, ( -1), ( -1), 541651739, ( -1), 225163538, 900343541, ( -1), ( -1), 479129846, 662445417, 670858545, 557410145, ( -1), 574493301, 22825741, ( -1), 587297242, 778373161, 448671870, 62558639, ( -1), ( -1), 239827303, 143308058, 828524832, 495010634, 710801766, 702953180, 764600247, 899184703, 359838659, 123614369, ( -1), ( -1), 662138348, 454158925, 807758285, ( -1), 697991324, 932015551, 323201441, 820131574, ( -1), ( -1), 938509458, ( -1), 592867374, 998096991, 141690691, 452279072, 925481752, 655888798, ( -1), 76072700, 615600324, 803717219, 473917791, ( -1), 566340433, 141767517, 488756524, ( -1), 512915445, 288522365, 538169353, 22778247, 994363256, 226568155, 392531345, 154384365, 897939025, ( -1), ( -1), ( -1), 209338, 969696998, 259293046, 17233557, 535012525, 325157629, ( -1), 891153517, 58785539, ( -1), 291603762, 166172251, 928688840, 188926582, ( -1), 641735025, 331171805, 266223770, 486904219, 587905654, 165102632, 223830190, ( -1), 886296517, ( -1), 220605460, ( -1), 64954079, ( -1), 634879576, ( -1), 128203445, 103482398, 693883262, ( -1), 323566713, ( -1), 33323581, 96794577, ( -1), ( -1), ( -1), 357057246, ( -1), 54893915, 926055882, 446234472, 292261263, 637239659, ( -1), ( -1), 853468766, 160189183, 769082820, ( -1), ( -1), 329471883, 491950502, 744323361, ( -1), 241819030, 581608086, 817169396, 432002794, 396733282, 579299141, 550648480, 221195913, 639670297, ( -1), ( -1), ( -1), 865926713, 126222748, ( -1), 756654773, 204252023, 865024477, 876830629, 333582167, 484793015, 808955598, 632381636, 44384806, ( -1), ( -1), ( -1), ( -1), 667264209, ( -1), 978899466, 594648309, 567042656, ( -1), 704744323, ( -1), 635808555, 647853006, ( -1), 225812397, 53405398, ( -1), 97764132, 473694500, 972153046, ( -1), 867361640, ( -1), ( -1), ( -1), 45808439, 174987845, 947931143, 428509496, ( -1), 907294880, 725521475, 789620921, 803918854, ( -1), ( -1), ( -1), 300502734, 544090956, 590921643, 688801885, 773556352, 743212676, 310573290, ( -1), ( -1), 385826467, ( -1), 198968220, 2895824, 125213792, ( -1), 564054423, 311971000, ( -1), 358655032, 197420818, 551332135, ( -1), 472161802, 911448591, 520591547, 622235835, 835706253, 41269925, ( -1), ( -1), 81505853, 402465728, 673330985, 7182579, 213269385, 429797363, ( -1), 690624207, 372827796, 244672999, 730479661, 978331759, 778022848, 166918643, 376222720, ( -1), 356299348, 931957840, 512092128, ( -1), ( -1), 81222757, ( -1), 604337380, 594853665, 237543311, ( -1), ( -1), 740955553, 142883201, 612113612, 784564548, 917443859, 125151834, ( -1), ( -1), ( -1), ( -1), 807776501, ( -1), 622160061, 246748729, ( -1), 782182087, 24028393, 572609626, ( -1), 745933300, 705829585, 243204957, ( -1), 720883489, 918699111, ( -1), ( -1), ( -1), ( -1), 371600176, 361824319, 79094075, 837626613, ( -1), 492705614, 262762701, 177339110, 699712563, ( -1), 750014457, 15533253, 482371723, 652093859, 747124185, 856575761, 562609712, 556708522, 846142187, 784071347, 880737596, 336846410, 300833487, 524789451, ( -1), 743101973, ( -1), ( -1), 94813131, 957243977, ( -1), 888932889, 724286079, 46366301, 118015823, ( -1), 248539384, ( -1), ( -1), 317648191, 149495577, 923218820, ( -1), 996028898, 750637235, ( -1), ( -1), ( -1), ( -1), ( -1), 827046836, 201849734, 964887401, ( -1), ( -1), ( -1), 253926065, ( -1), 756464183, ( -1), 536020637, 428246740, 172253504, 743609973, ( -1), ( -1), 352863751, 795976400, 362007922, 256631148, 883608452, ( -1), 167161097, 965037321, ( -1), ( -1), 262830153, ( -1), 398164493, ( -1), 850268775, 515636501, 914460059, ( -1), 771855382, 209673010, ( -1), 402176910, 556412552, 985572927, 547113422, 721035550, 906839460, 324026903, 561165642, 673566798, 187145108, ( -1), 23945611, 278151973, 463323515, 548683714, ( -1), 865887255, ( -1), 501566018, 510534010, 229240767, ( -1), 448435497, 269897417, 515624244, 511736639, ( -1), ( -1), 360595364, 891762487, 852904501, 538209826, 175357546, ( -1), 390392575, 252391333, 264765800, 701966949, 985543798, ( -1), 45207680, ( -1), ( -1), ( -1), ( -1), 141082329, 466278060, 42242278, 405020597, 611852785, 143285899, 99535294, ( -1), ( -1), 70371036, 420232516, 56829455, ( -1), 676664108, 776960214, 747577245, 754238949, 336027924, 13791118, 138039482, ( -1), 693243376, ( -1), 112529711, 31025829, 166598856, ( -1), 164882209, ( -1), 329897462, 904876714, ( -1), 284112015, ( -1), 819526741, 595100478, 466234, 216283338, 627002620, ( -1), ( -1), 934740954, ( -1), ( -1), 339185761, 895738374, ( -1), ( -1), 875537049, 329019505, ( -1), 945342817, 481773022, 952900778, 495068165, ( -1), ( -1), ( -1), 131905927, ( -1), 544703582, 131713720, ( -1), ( -1), 84739710, 487431138, ( -1), 854678337, 161349894, 435828937, ( -1), 759705535, 25185437, ( -1), ( -1), ( -1), ( -1), 575508728, 245177767, 525945078, 536265471, ( -1), 914925797, 192751466, ( -1), 620225952, ( -1), 857049655, 231717950, 169293685, 191515010, 575861325, 756846859, 464685886, ( -1), 559806353, 567286743, 558903236, ( -1), ( -1), 191654232, 320702270, ( -1), ( -1), ( -1), ( -1), 843097334, 175876148, ( -1), 434115072, 939228410, 603987812, 938598394, ( -1), ( -1), 375124618, ( -1), 852650874, 406776891, 494246956, 368675154, ( -1), 744070457, ( -1), ( -1), 733008318, ( -1), 839730557, ( -1), 498724759, 583479038, 240015284, 821983929, ( -1), 365015189, 3678874, 721924711, ( -1), 656382059, 716683340, 959266539, 989887714, 932176682, 145919388, ( -1), 211725709, 342032672, 639139054, 910355895, 44764036, 393764203, 99101673, 761985919, 949014474, 586445119, 959335637, 332351815, 580607402, 675084865, ( -1), ( -1), 480054839, 111572361, 664271004, 632365156, ( -1), 420008798, 829738396, 932404874, 135536883, ( -1), 494673101, ( -1), 312578047, 517209501, 968990105, ( -1), 833258691, 19043665, 196786548, 687652704, 81181472, ( -1), 383158932, 567764728, 116430642, ( -1), 647702539, 851229436, 170698418, 616259188, 223889068, 506365703, 408733254, 670171809, 586352463, 806604765, ( -1), 498702682, 150933426, 840176337, 808863921, 80657514, 493496846, ( -1), 97883052, 155863486, 734261092, ( -1), 86337367, ( -1), 290495440, 387221197, 936872474, 624104480, 459733352, ( -1), 894246668, ( -1), 857623208, 384987674, 706896155, 439188261, 625694535, 758952300, 53747934, ( -1), 67959642, ( -1), 943243636, 782345921, 504454999, 138584754, ( -1), 730182769, ( -1), 813055497, 575423855, 820884772, 249094939, 418294987, 841757396, 972276708, 133555458, ( -1), 302598878, 652425775, 774011766, 71455880, 236138876, 163686526, ( -1), ( -1), 60504394, 60462915, ( -1), 884356206, 166310577, 318797494, 788671440, ( -1), ( -1), ( -1), ( -1), 154279857, ( -1), 581590634, 411568436, 284931141, 801898964, ( -1), 55603354, 457748066, 120407011, ( -1), 415694100, 984124940, 143321207, 988749891, 209401744, ( -1), 379475238, 528063860, 134384315, 302113482, ( -1), 524248269, 878741687, 603875819, ( -1), 410055043, 549409911, 778817429, 414274408, 453055482, ( -1), ( -1), ( -1), 731984899, 455724197, 338600117, 726309013, 926872420, 956313677, ( -1), 780127304, ( -1), 331201960, 491236698, 445680688, 396254458, 190420069, 60859336, 245806375, ( -1), 965543724, ( -1), 680892157, ( -1), 770485048, ( -1), ( -1), ( -1), 275645137, 578314298, 867804707, 557516140, ( -1), 471134402, 286098922, ( -1), ( -1), ( -1), 951616076, 116211590, 517452476, ( -1), 411765481, 880890047, 191439381, 291467313, ( -1), ( -1), ( -1), 646430363, 79700859, 436607389, 686741919, 735916556, ( -1), 963815737, 337279648, ( -1), 603142519, 389782652, 621581558, 436396781, 632321985, 48670336, 774354569, 277687201, 331719406, ( -1), ( -1), 735628834, 137565670, ( -1), ( -1), 830891158, 505425756, 30112287, 126306372, 427668072, ( -1), 631554810, ( -1), ( -1), 750079265, ( -1), ( -1), 385217695, 455020310, ( -1), 238526352, ( -1), 913571430, 465335584, ( -1), ( -1), ( -1), ( -1), 701406933, 421057982, 768015165, ( -1), 576982900, 229348438, 741077216, 203191159, ( -1), 150991075, 132013838, ( -1), 334447242, 897237644, ( -1), 806963582, ( -1), ( -1), 739812486, ( -1), 177648268, 805052780, 261488742, ( -1), 564555386, 393759504, 680658955, 805469747, ( -1), 936242562, 438560861, 689905949, 678104402, 926435462, ( -1), 330906863, 913322366, 940774803, 188249278, 601496279, 304353368, ( -1), 491070008, 968181473, 584911259, 722674727, 298252654, 109591238, 52923225, ( -1), ( -1), ( -1), ( -1), 328266235, 319820249, 67999660, 481404197, 822133431, 975554230, ( -1), 803223672, 906285306, 881597108, 332571427, 789708797, 178340955, 11679895, 10622164, 963791956, 407117644, 315743137, ( -1), 938852555, 811309666, ( -1), 753782045, 573536847, 40033016, ( -1), 283671885, ( -1), 669002447, 233337897, 100395284, 548718545, 945361342, 206508102, 194124118, 732138499, ( -1), 389219005, 31327578, 948074437, 102130883, 273363378, 614709167, 714720604, ( -1), ( -1), 4493182, 141183588, 461232898, 130604997, 791832780, 143459723, ( -1), 527710383, 406452997, 272340197, ( -1), ( -1), 996586717, ( -1), 276182919, 268498365, 891143464, 924023459, 713140820, 476643841, ( -1), 881136198, 326083630, 105850571, 165043836, 743110385, 457989487, 107792561, ( -1), 557186873, 62595804, 945431387, 706539541, 265844158, 14024133, 322617144, 535340279, 709578867, 814075288, ( -1), 358317757, 379467560, 976674606, 386489723, 123783190, 201015227, 738389551, 366878655, 532693088, 371358788, 987450815, ( -1), ( -1), 549456920, 873974783, 189209109, 418051811, 79679845, 713360241, ( -1), ( -1), ( -1), 743698894, ( -1), 558803469, ( -1), ( -1), 483637455, 218760199, 909254037, 377808140, 245571035, 469537822, ( -1), ( -1), 786811959, 498200371, 786157201, ( -1), ( -1), 510915723, 22842738, 88682336, 497753484, 481874860, 102664134, 119080741, 253946406, 820592774, 728473108, 227260609, ( -1), 168502888, 699445908, 229474404, ( -1), ( -1), 905937284, ( -1), 109637933, 611170586, 743137590, ( -1), ( -1), 295631982, 379746646, 580736268, ( -1), 927689566, 880985504, ( -1), 369767153, 770719554, 519084129, ( -1), 892209494, ( -1), 941651027, ( -1), 611815557, 479411588, 749247350, 970466452, 872459898, 924683409, 29081957, 2305243, ( -1), 718735618, 201747568, 110057810, 241291012, 686884570, 685458992, ( -1), ( -1), ( -1), 201453072, 336613469, 866961262, 990082693, 193538256, ( -1), ( -1), 540834216, ( -1), 994946171, 252021553, ( -1), 855046285, 858424891, 125197411, ( -1), 876369224, 82740126, ( -1), 931628018, ( -1), 71286885, 677699112, 508317594, 281914887, ( -1), ( -1), 144287396, 941912340, 165708104, 881486163, 308140924, 445044854, 865295584, ( -1), 656210156, 350855860, ( -1), 728737622, 322647573, 300977143, ( -1), 873413965, 224503436, 52925188, 408853591, 487754962, 647937652, 730968469, 883318722, ( -1), ( -1), 661028275, 698143208, ( -1), 64221882, ( -1), ( -1), 569770839, 622784037, ( -1), 768170064, ( -1), 610736858, 950124547, ( -1), 144592375, 489191239, 184277692, 206880859, 232282310, 768334651, 323243314, 907821790, 791941698, 312070515, 385531493, 24188411, 232730390, 331696831, 268412794, 239205092, ( -1), ( -1), 290790898, 60326790, ( -1), 970519762, ( -1), 723407098, ( -1), 828621484, 500669954, 711969433, 416492880, 281081371, 789285896, 561514581, 37238095, 7715167, 24164123, 435960549, 405154621, 470185388, 339421393, 8420561, ( -1), 742298817, 818412627, ( -1), 860098224, ( -1), 535756489, ( -1), ( -1), 662478206, 268870000, 866776173, 121205291, ( -1), 762181656, 973673031, 231519074, 367300275, 487278361, ( -1), 59977381, ( -1), ( -1), 235456974, ( -1), ( -1), 950881675, ( -1), ( -1), 132390839, 655202034, ( -1), 493395426, ( -1), 5212773, ( -1), 833259000, 708576386, 153055788, ( -1), 52665972, 868786933, 283333219, ( -1), ( -1), 4043824, ( -1), 40493859, 371049947, ( -1), ( -1), 788288043, ( -1), ( -1), ( -1), 441131152, 418046305, 69020760, 525957337, ( -1), 560745866, 88962166, 293825882, ( -1), 964144838, 103553432, 239419913, 318790874, ( -1), 858716046, ( -1), 11894590, 879533048, 317309156, ( -1), ( -1), ( -1), ( -1), ( -1), 839409976, ( -1), 981601415, 734660871, ( -1), 181740561, 127268161, 876958780, 693230286, ( -1), ( -1), 738385064, 991929917, 272846104, ( -1), 849243779, ( -1), 455945440, 582613543, 737087007, 993734976, 802718430, ( -1), 52207934, 453681385, ( -1), ( -1), ( -1), 933028761, ( -1), 201080302, 270281990, ( -1), 287068864, ( -1), 684205900, ( -1), ( -1), 117078394, 892128055, 134721991, 412319117, 765447973, 718091847, ( -1), ( -1), ( -1), 497564265, 466525984, ( -1), ( -1), 519131889, ( -1), 441574258, 909738731, 803246653, 973978021, ( -1), 942624766, 699700430, 194005941, 323054115, 198732155, 631850666, 783394304, 436807906, 464437806, 687934153, 11458123, 354145892, 232308769, 163987215, ( -1), ( -1), 486958062, ( -1), 754185788, 498716901, 741433541, 775718523, 168612539, 5460488, 138464856, 399997983, 966502853, ( -1), ( -1), 57837758, 636214303, 212407209, ( -1), 695683641, 344731158, 594663463, 910520170, 148623683, 760894847, 207439922, ( -1), 254900060, 783139934, ( -1), 808200428, 984506560, 10567803, 994996217, 986692136, 635640317, 657340212, 735965252, 340708155, 946198973, 354283273, 781859399, ( -1), 500417711, ( -1), 990061957, ( -1), ( -1), ( -1), 458583618, 887361564, ( -1), 43391415, ( -1), 110393841, ( -1), 26259071, 27538698, 710906696, ( -1), 304270135, 359004916, 146714774, 368683119, 836253657, 543153818, 153928960, ( -1), ( -1), 873549344, ( -1), 505687008, ( -1), 657716342, 85630033, 749487667, 779541536, 971563016, ( -1), 145260427, ( -1), ( -1), 646667503, ( -1), 954384953, 412119669, ( -1), 253009215, ( -1), ( -1), ( -1), 822181883, ( -1), 70905812, 791271078, 10588966, 849824395, 594650689, 45613602, 784170110, 660042547, 251101457, ( -1), 507138433, 67052526, 894015405, ( -1), 791803903, ( -1), ( -1), 552858809, 926663768, 15349814, 677382824, 201481862, 491992853, 976586605, 360974573, ( -1), 894349899, ( -1), 140437347, 707385168, ( -1), 502916300, 176171654, ( -1), 523092876, ( -1), 835175221, 156256443, ( -1), 571475997, ( -1), ( -1), 939039229, ( -1), ( -1), 861131741, 912543013, ( -1), 992058918, 116531087, 562275768, 979101214, ( -1), 362600673, 952265943, 247332588, 758378711, ( -1), 458658646, 724211234, 248894561, ( -1), ( -1), 54987262, 461521300, ( -1), 526679478, 848319037, 904031664, 298783037, 293393406, 314118854, ( -1), 171880378, 780011900, 243392194, 78510677, ( -1), ( -1), 81715407, ( -1), 569442435, 332952368, 561331875, 567853485, 425487649, 162920571, 139621369, 903829142, 955998889, 110941179, 399054384, ( -1), 856423171, 386456531, ( -1), ( -1), ( -1), ( -1), 416019193, 816354510, 967864851, 343615859, 647842797, ( -1), 78734356, ( -1), ( -1), 863204117, ( -1), 504371248, 927127313, 763520820, 368520228, ( -1), 447051791, 167562144, 961172175, 660266315, 378766774, 984686105, 878309231, 673486695, 887670454, 259711533, 239240902, 193636229, 386263615, ( -1), 817884804, 833861548, 739135938, ( -1), 532550410, 535692263, ( -1), ( -1), 562721197, 943761355, 636562186, 655290219, 283493716, 842252875, 582831547, 57715234, 697783327, ( -1), 49692919, 878423004, 267918701, ( -1), 778036399, 673470521, 949404341, 66482683, 903035808, ( -1), 783314567, 647472541, 377979442, 628721210, 244644483, 219047289, 25251228, 309630054, ( -1), 59963546, 423504183, 993678606, 745135099, ( -1), 880594285, ( -1), ( -1), ( -1), 448882490, 636411321, ( -1), 532475197, 978395130, ( -1), 634567802, 896492145, 563485757, ( -1), 55870210, 559906470, 971015978, 992079830, ( -1), ( -1), 906305158, 328750657, 142947652, 850913042, ( -1), 944457616, 951647218, 516110691, 846412582, 735871268, 989109681, ( -1), ( -1), 83949320, ( -1), 704844861, ( -1), 673504610, 943607229, ( -1), 521994946, ( -1), ( -1), ( -1), 426665906, 31303407, ( -1), ( -1), 869663962, 313880598, 492181766, ( -1), ( -1), 946545987, 447374274, 872737628, 976321760, 774217782, 36147707, 678747214, 287619621, 51892085, 85494229, 716748604, 503317597, 237849094, ( -1), 277065435, ( -1), 776252451, ( -1), 463773889, 947659540, ( -1), 195220071, 488604291, ( -1), 838472847, ( -1), 167606530, 542248844, 311787345, ( -1), 447115749, 619844489, 784092212, 558800004, 974787844, 464185058, 26618686, 17652952, ( -1), ( -1), 976040234, 955506450, ( -1), ( -1), 988038298, 180628667, 676962715, ( -1), ( -1), 170522973, 726686499, 357298050, ( -1), 191085641, 706397866, 209440639, 877753533, ( -1), 634128192, 20192700, 673999425, 82858423, ( -1), 719116728, 384372849, 786525641, ( -1), ( -1), ( -1), 338628120, 853656687, 981410409, 587510893, 785746185, 24605889, ( -1), 557320356, ( -1), 663638956, 788119457, 169247095, 23842406, ( -1), 112817164, 617242150, 965278639, 706232818, 923837693, 796853052, ( -1), 408152768, ( -1), 500845078, 148664682, 720958519, 34053233, 143775816, 723344901, 177495435, 859457526, ( -1), 652946518, 767360171, 357184813, 297184937, 626016588, 232705756, ( -1), ( -1), ( -1), 603478395, 45449384, ( -1), 232270066, 458306190, 984423369, ( -1), 954724756, 262779023, 25022047, ( -1), ( -1), ( -1), ( -1), 292884524, 969130190, ( -1), 395418458, ( -1), 236008384, 253580940, ( -1), 316475002, 497760900, 680136168, 433599828, ( -1), 316196421, 515454185, ( -1), 863832213, 388538351, 985453769, 402202470, ( -1), 593807682, ( -1), 367623569, ( -1), 7598442, ( -1), 839312670, ( -1), ( -1), ( -1), 345737320, 143615431, ( -1), 638305707, 869628203, 97773658, 525539256, ( -1), 405198825, 868432197, 715572756, 416485517, 898667687, 107568788, ( -1), 617885274, 303154631, ( -1), 985098639, ( -1), ( -1), 267453446, ( -1), 15506643, 495696349, 936702621, 974339963, 244316136, 965528998, ( -1), 128524680, 164143247, 669380321, ( -1), 794388200, 5552142, 893441879, ( -1), 389488470, ( -1), ( -1), ( -1), 987531967, 997040087, ( -1), 213225096, ( -1), 321079704, 264278142, ( -1), 487552536, ( -1), 599879086, ( -1), ( -1), ( -1), 705949177, 732616434, ( -1), 495986804, 678624502, 41344524, ( -1), ( -1), 34720237, ( -1), 298094975, 555532982, ( -1), ( -1), ( -1), ( -1), 907381999, 765244514, ( -1), 36923630, 481050716, 872147919, 636882630, 190061309, 74642612, 539217569, 493110445, ( -1), 938362629, 781195924, 133672560, ( -1), ( -1), 607407914, ( -1), ( -1), ( -1), ( -1), 974226685, ( -1), ( -1), ( -1), ( -1), 661665834, 993980821, ( -1), 99868831, 695914034, ( -1), 274274209, ( -1), 973340115, 270992380, ( -1), 218204689, 450813437, 250107488, 304323403, ( -1), 319847988, 652816194, 672245648, 567734187, 40133806, 846964528, ( -1), 91184389, 431684691, ( -1), 896291035, 217546358, 646348883, 257983989, 460886141, ( -1), 270018350, 247864243, ( -1), 436842965, 35776810, 195882441, 940417907, 186970667, 796614353, 154009049, 702900553, 568309792, 796000088, 951257487, 409988853, 279898030, 158280322, 153962584, 519291692, ( -1), ( -1), 968495569, 960988648, ( -1), 457710465, 984985325, 651497025, 325134330, 527170981, ( -1), 560293798, 578718382, ( -1), 562276413, ( -1), 301672558, 187858903, 872822130, 89356820, 873572241, 12986900, 963017380, 264398100, ( -1), 119074920, 296749239, 491877672, ( -1), 549078917, 181321151, ( -1), 431422255, 582535467, 737932809, 739071146, 335800584, ( -1), 947270008, 739120600, 969498084, 178343859, 271663735, 337636698, 467822827, 467057769, 511954439, 949217850, 836917791, ( -1), 687062655, ( -1), 402476066, 654494617, 14044544, 648369187, ( -1), 235811240, ( -1), 799863464, ( -1), 395914831, ( -1), 24927450, ( -1), ( -1), 137132603, ( -1), ( -1), 200828365, 614545758, 475792275, 939418030, 786186778, 783834570, 601357316, 539290174, 291191575, ( -1), ( -1), 217758646, 719157397, 160716416, ( -1), ( -1), 573275004, 417276686, 932669857, 314434244, ( -1), 655088506, ( -1), ( -1), ( -1), 952568966, 618850237, 293515607, 849199505, ( -1), 912490549, ( -1), ( -1), 856528476, 130420636, 754769897, ( -1), 343601406, 247247726, 132666615, 29377896, 940410296, ( -1), ( -1), 920460585, ( -1), ( -1), ( -1), 799903134, 569213083, 825367604, 778341382, ( -1), ( -1), ( -1), 840456641, ( -1), ( -1), 358087773, ( -1), 901987602, 283352777, ( -1), 343648552, 782043976, ( -1), ( -1), ( -1), ( -1), 502411002, 578004150, 918861393, ( -1), ( -1), 346275456, 816730821, ( -1), 594945216, ( -1), 694573214, 339334159, ( -1), 379969278, ( -1), 705650695, ( -1), 841679562, 442555923, 551400073, 476939859, 81537842, 657951895, ( -1), ( -1), 892387467, 78114328, ( -1), 387147685, 255930955, ( -1), 811449232, ( -1), ( -1), 303014052, 828445891, 544890216, 595606781, ( -1), 659396980, 626936535, 514648090, 743621455, 984379771, 63075378, 731553, ( -1), 567177667, ( -1), 920526990, 420738138, 343382639, 69617521, 259384606, ( -1), ( -1), ( -1), 716623455, ( -1), ( -1), ( -1), 543905059, 48081396, ( -1), 936284661, ( -1), 596568276, 831900484, ( -1), 198720917, 361913457, 137135676, 388263657, ( -1), 638645608, ( -1), ( -1), ( -1), 10211832, 817114837, 202925260, 812915213, 862299336, ( -1), ( -1), 482700061, 897359663, ( -1), 107735825, 5013342, 70949182, 792974618, 237636158, 141404251, 388038203, 483663479, 31349003, ( -1), ( -1), 104661126, 992058918, ( -1), 968601331, 392356895, 292563947, 379399924, 167997398, 529602697, 358070866, 418713734, 246479734, 492422159, 11219635, 189468636, ( -1), ( -1), ( -1), ( -1), 213374315, 954029628, 415921899, 349600527, 412705025, 251521480, ( -1), 935520445, 510468832, 234953845, 736051418, 438093756, 513625275, 163132430, 572047499, 964974974, 580167108, 472491922, 408099185, ( -1), ( -1), ( -1), 650698732, ( -1), 59466378, ( -1), 768197550, 831033884, ( -1), 717829266, 21299037, 263950426, ( -1), 366221451, 34206554, 258637632, 763453834, 322590374, ( -1), ( -1), 276413420, 868963266, ( -1), 542009362, 529072597, ( -1), 14163353, 308848109, ( -1), 701690683, ( -1), ( -1), ( -1), 291234753, 693856510, 207989022, 714991810, 196467607, 220099634, ( -1), 966624340, 31613256, 969225917, ( -1), ( -1), ( -1), ( -1), ( -1), 340325525, 604961043, 675873531, ( -1), 537454146, 503147450, 925093837, ( -1), ( -1), 182899652, 206482763, 987607725, ( -1), 770447998, 271420532, 745436150, 821931079, ( -1), 111728419, 821715820, 133780277, 835893873, 405271673, 376565215, 315151327, ( -1), 369677939, ( -1), 702943114, 906760155, ( -1), ( -1), 308057321, 418675988, ( -1), 572373520, ( -1), 558878843, 415553586, 895908566, 583234898, ( -1), 508515623, ( -1), 863946240, 258863067, 137240518, 936741799, 956844012, 505634091, 408666803, 740732489, ( -1), 209134263, 679457170, 517308108, 516283058, 443351152, 805763536, 56323406, 191504576, ( -1), 131172889, 412659998, 636097722, 781643221, 243194218, ( -1), ( -1), 255607080, 365879658, 966072878, 135731548, ( -1), 275356311, ( -1), 264943044, 993707128, 416557376, 733867917, ( -1), 75502250, 615934918, 342275917, 567303328, 753246516, ( -1), 186629922, 709340901, 370069482, 369503676, ( -1), 860976262, 892613822, 525191518, 573681415, ( -1), 557062692, 451171135, ( -1), 772195236, ( -1), 853342785, 386776771, 273070868, 796295064, 614448683, 526573417, 325886621, 383018318, 392792494, 29166257, 930375477, ( -1), 238455628, 578162341, 614717722, 923510772, ( -1), ( -1), 660432843, ( -1), 322432265, 763773015, 707080985, 576710908, 444500030, 397545108, ( -1), 781754679, 609800490, ( -1), ( -1), 907095454, ( -1), 1298723, ( -1), ( -1), ( -1), 881507526, 602554955, ( -1), 960365257, 41568655, ( -1), ( -1), 208153548, 243503745, 132232382, 257857230, 94155009, 4719566, 538505235, 782177376, 796273624, ( -1), 934697176, 621130709, ( -1), 221747651, 981134934, ( -1), ( -1), 950381364, ( -1), ( -1), 97410207, ( -1), 142571717, 817972848, 409222314, 872594750, 573989123, 966169654, 938418392, 737754679, 317754780, 135460046, ( -1), ( -1), 110620216, 957894487, 558522091, 367497004, 924501603, 23868116, ( -1), 97091011, 396883965, 579785785, 346686135, 533945711, 57032321, 540727801, 293907819, 858852591, 369513573, ( -1), 241260813, 772255442, ( -1), 679932698, ( -1), ( -1), 84050708, 900352359, 166454134, ( -1), ( -1), 508062056, 642538214, 871546958, 43942599, ( -1), ( -1), 31412534, ( -1), 426725614, ( -1), 944131010, ( -1), 187162964, ( -1), 772513323, 468766951, ( -1), 945110900, ( -1), ( -1), 719991961, 186061565, ( -1), 567447316, 803554990, 648408422, 317095556, 279858524, 604139047, ( -1), ( -1), 385916250, ( -1), 528951778, 296960170, 743834729, 842639966, 832795505, ( -1), ( -1), 787593317, 400770766, 700219481, 38466825, 500423556, 538435976, 244689884, 576793155, ( -1), 506949793, ( -1), 334928038, ( -1), ( -1), 268269289, ( -1), 872976279, 221051865, 249951777, 540179993, ( -1), ( -1), ( -1), 689145860, 28366365, ( -1), ( -1), 777002169, 442951548, ( -1), 69585111, ( -1), ( -1), 773380312, 276597622, 921156014, 757903426, 782349093, 363130330, ( -1), 896264503, ( -1), 611115886, 461244747, 237841744, 532831216, 348382450, 7456020, 977698389, 608979172, 429457805, 34732, 297303556, 349357068, ( -1), 505235922, ( -1), ( -1), ( -1), 158677324, ( -1), ( -1), 567401256, 207927172, 332444464, 136732733, 133332920, 569762867, 539177520, 39852194, 389118608, 666019552, ( -1), ( -1), 49152777, 624579100, 831242424, ( -1), 938173561, 692322664, 986328040, 464111757, 337184018, ( -1), 183523527, 530038215, 905549515, 324328993, ( -1), 452023851, 532187129, ( -1), ( -1), ( -1), 982175626, 470743921, ( -1), 51589374, 632064234, 670130960, 624958682, 867333486, 812962291, 229285257, 511191447, ( -1), 18148375, 384419189, 385020987, 33025340, ( -1), 414622148, ( -1), 276191079, 834079729, ( -1), 166330387, 41162384, ( -1), 743090842, 919572834, ( -1), ( -1), ( -1), 702152829, 260855176, ( -1), ( -1), 72534383, 806363861, 813801606, ( -1), ( -1), 79716388, 76404908, 512396664, 200513487, 986019769, ( -1), 889762893, 727471731, ( -1), 597511947, ( -1), 166473032, 598694580, 676678302, 773747471, 175813340, ( -1), 554736515, 488608570, ( -1), 874179064, 421736973, 21873899, 489515252, 67771895, ( -1), 971470046, 413537194, ( -1), 13402074, ( -1), 768203562, 488360886, 191397450, 957607910, 676759999, 749132372, ( -1), 547353844, ( -1), 686383965, 132588874, 875194736, 316017604, 88284214, 245324617, 970996512, ( -1), ( -1), 203804973, 400970213, 307347253, 251446840, ( -1), 927867151, ( -1), 184721338, ( -1), 12166102, 508233325, 666749480, 588917610, 567145133, ( -1), 225515400, 416641959, 347347277, 942018671, 255583189, ( -1), ( -1), 316244072, 65583461, 149998048, ( -1), ( -1), 407351316, 724710869, ( -1), 383238809, 75135059, 657463228, 423137745, ( -1), 7588945, ( -1), 633431504, 203644069, 832511791, ( -1), 533098343, ( -1), ( -1), 701505882, 736312143, ( -1), ( -1), 113935549, 34819458, 955522692, 89362842, 146795377, 786882614, 624606441, 547184374, 971481843, ( -1), ( -1), 473281200, ( -1), 987411977, 329326156, 60221241, ( -1), 898140520, 895961220, 106140360, ( -1), ( -1), 845976127, 413037591, 752452135, 477463409, ( -1), 530941086, 770882416, 764463579, 112900787, ( -1), 486905126, 284487524, ( -1), ( -1), 684290566, 188130602, 709173849, 826403413, ( -1), 353706050, ( -1), ( -1), 187702876, ( -1), ( -1), 504789371, ( -1), ( -1), 4467769, 451607560, 803384535, 451254116, 262840251, ( -1), ( -1), 898820538, 315672304, ( -1), 785133392, 187642732, 569653279, ( -1), ( -1), ( -1), 809982403, 570640125, 852164888, ( -1), ( -1), 527631309, 947767118, 816315050, 593022126, 948765422, ( -1), ( -1), 709570862, 539698628, 866650438, 558979705, 11438501, 149762305, 140991408, ( -1), ( -1), 978400673, ( -1), 979802403, 289093804, 854864854, ( -1), 877376570, 941310056, ( -1), 174144849, ( -1), 666537767, ( -1), 486448050, 663624209, 937585788, ( -1), 265545225, 505395318, 866741183, 743181532, 757416278, 668242107, 66154616, 45065027, ( -1), ( -1), 400267264, 532224644, 503654578, 880389691, 910757043, ( -1), ( -1), 772800743, ( -1), 484191628, 481644853, ( -1), ( -1), 871349811, 214366259, 484157780, ( -1), ( -1), 891639773, ( -1), 808273539, 213331392, ( -1), 754070922, 153309051, ( -1), ( -1), 312457876, ( -1), ( -1), 893482392, 29413707, ( -1), 663131075, 596690359, 441405147, 296252128, 157880300, 702137801, ( -1), ( -1), ( -1), 680918862, 683187420, 914388302, ( -1), 664543587, 145311431, 387743986, ( -1), 139663172, 241503614, 613450416, 927483612, 824557993, ( -1), 586535156, ( -1), 253807795, ( -1), 187137679, 806140969, ( -1), 14067039, ( -1), 807000066, 30401212, 466021473, 322228359, ( -1), 536917349, ( -1), 279501457, 637671312, 175531719, 747722900, 182798383, 508068511, 309203958, 994231142, ( -1), 250621642, 773160018, ( -1), 353284261, 437926012, 850320531, ( -1), 81692000, 45162811, 979479420, 686864432, ( -1), 682963352, 56727853, 207119908, 317864589, 337207952, 766004374, 824946505, 143862030, 330315219, 801634870, 812238473, 889854475, ( -1), 690670386, 710373241, 489955699, 714382754, ( -1), ( -1), 636834139, 221372129, ( -1), 537732350, 317751883, 572309937, ( -1), 597346252, 981135179, 95632006, ( -1), 997805221, ( -1), 696986402, ( -1), ( -1), ( -1), 494450734, 768690617, 653034061, 403589955, ( -1), 380961205, 88788859, 847390246, 891810331, ( -1), 649473691, 606143523, 354502137, 131640409, 482837911, 7473445, 642110548, 464398779, 717998764, ( -1), ( -1), ( -1), 980649919, 455169795, 235872640, ( -1), 123089758, ( -1), 838773565, 692184658, ( -1), 655786326, 426879253, 588162359, ( -1), 668492541, 283861232, 676372877, ( -1), ( -1), 906700280, 840114355, 459645492, 701636843, ( -1), 813730064, 411003238, 612982567, 103412252, 422598919, ( -1), ( -1), 612451506, ( -1), 867995260, 732691462, ( -1), ( -1), 46626002, ( -1), 629147261, ( -1), 642442124, 618562950, 957068443, 481338629, 750594882, 354728280, 545489028, 223223450, 137312270, 96733551, ( -1), 343556429, 297111999, 869123212, 286704205, 984713305, ( -1), 387051417, 258888441, 149063592, ( -1), 855828079, 427131421, ( -1), 645721781, 864824390, ( -1), ( -1), ( -1), 450145642, 333989803, 656076475, ( -1), 104240746, 750993408, 956629609, 624195669, 30887121, 649205535, 603243662, 115934705, ( -1), 159252821, 750993410, 203182186, 15020230, ( -1), ( -1), ( -1), 239164103, ( -1), 698076226, 154855213, 908931593, ( -1), 766168750, 643161854, ( -1), 355792226, 88116846, ( -1), 792334755, 354307164, ( -1), 998550921, 168409500, 29107478, ( -1), 606451710, 243813134, 705383917, ( -1), ( -1), 728556184, 957358680, 67915123, 732260749, 24798269, 550416447, 670295484, 121954315, ( -1), 989980210, 643934781, ( -1), ( -1), 883268040, 936448886, 194220436, 916033455, ( -1), ( -1), 841592832, 976589027, 766116518, 514032510, 789309867, 901329173, ( -1), 59017719, ( -1), 831154000, 501342206, 880577881, 139632938, 342464934, ( -1), 873493028, 548276312, 661706039, 731731510, 935615542, 239937925, 184587237, 749345951, 84077531, 275772021, 136458830, 923743482, 441995144, ( -1), 828946866, 491053734, ( -1), 71404437, 364436904, 455947521, 283385175, ( -1), 48030892, ( -1), 671719247, 831547980, 581364714, 439017104, 600113109, 3815728, 629114, 327773522, ( -1), ( -1), 155397112, ( -1), 702127163, ( -1), 191110870, 590110208, 202474627, 305864406, 582835974, ( -1), ( -1), ( -1), 350548020, 269319366, 886912695, 742021513, ( -1), ( -1), ( -1), 399070316, ( -1), 614101277, 453048071, ( -1), 999614727, 920709316, 964198237, ( -1), ( -1), 970566359, ( -1), 727716696, 255087807, 858636301, 192672866, 567992050, 579802155, 781386053, ( -1), 925565330, 535415715, 456489758, ( -1), 470307372, 69938902, 807645183, ( -1), 885180336, ( -1), ( -1), ( -1), 333684951, 780539048, 383007223, ( -1), 508107272, ( -1), 47956070, ( -1), 655128730, ( -1), 657984131, ( -1), ( -1), 795518907, 450951873, 682050420, 470167906, ( -1), 104984835, ( -1), ( -1), 605398484, 989012792, 145704845, 193046524, 128331296, ( -1), 605915293, ( -1), 973158525, 246211177, 886855763, 872732950, 887329669, ( -1), 987642908, 525069036, 106190552, 729032331, 198403286, ( -1), ( -1), ( -1), ( -1), 567165774, ( -1), ( -1), 593398166, ( -1), 345268790, ( -1), 940668852, 704380894, 670957489, 25063832, 913248458, ( -1), ( -1), ( -1), ( -1), 49969225, 939672411, 490100880, ( -1), 960594128, ( -1), 472693925, 411829316, 490790238, ( -1), 616385507, 791947495, ( -1), ( -1), 83351263, 86605441, 160257224, 576589825, 787953517, 879869391, ( -1), ( -1), ( -1), 305722575, 420296648, 193986602, ( -1), 85481769, ( -1), 920041770, 867610471, 650951651, ( -1), ( -1), 906293936, 72697464, 409722073, ( -1), 607380648, ( -1), ( -1), 973430782, 711729487, ( -1), 204751351, 420749068, ( -1), 401234406, 439462238, 8958346, 621917591, ( -1), ( -1), 888232739, 332106357, 959569526, 105174861, 989116105, 655572102, ( -1), 48928647, ( -1), 29920388, ( -1), ( -1), ( -1), 361792065, 367623688, ( -1), 125406933, ( -1), ( -1), ( -1), 272093429, 493759217, 886667019, 937470161, ( -1), 589257545, ( -1), 880437144, 439364839, 524574423, 543429960, ( -1), 624638865, 447629425, 870990871, 448522744, 661878555, ( -1), 143790437, ( -1), 935764430, 303006620, 908929178, 825503621, ( -1), 75340627, ( -1), 505848913, 441614642, ( -1), 931235440, ( -1), 112961595, 707641375, 239300223, 383932404, ( -1), 648999767, ( -1), 598961488, 992693660, 773508286, 948986880, ( -1), 82870950, 339143454, 89079474, 700773656, 609614731, 680656860, 758402118, ( -1), 946377675, 118353902, 730961899, ( -1), 511664616, 945112365, ( -1), ( -1), ( -1), 286215788, 275370361, 490803142, 660210978, ( -1), ( -1), 710873795, 247899794, 475205973, 346717543, 424445165, ( -1), ( -1), ( -1), 615585724, ( -1), 112564100, ( -1), 159761240, 677049075, 551452714, 273789757, ( -1), 629458709, 146154677, ( -1), 4123818, 283079619, ( -1), 40610630, 267683070, 648498386, 576921883, 788644034, 154406052, 221365469, ( -1), ( -1), 958480779, 508174285, 98779536, 182935008, 993367631, 319466586, 187947778, ( -1), 155013102, 860349473, ( -1), 160533252, 284062618, 507917312, ( -1), 777772145, 20933292, ( -1), ( -1), 772519924, 605303335, ( -1), 434156374, 738200239, 756830625, 101635825, ( -1), 874043662, ( -1), ( -1), 211399253, 351376753, 719923972, 814006684, 950149662, 780878383, ( -1), 31523738, 196374934, 603807737, ( -1), 94866015, 735111067, 909434796, 11099406, 153201577, 309953797, 263459535, ( -1), ( -1), ( -1), ( -1), 534308215, 818052438, 419286539, ( -1), 435824111, 660992406, ( -1), 492327971, 549285568, 379932668, 410908411, 191756100, 491197601, 375578372, ( -1), 80735276, ( -1), ( -1), 238671018, 312519659, 883184169, 562581595, ( -1), 199228695, 850053731, 888114816, 236147218, 491054275, 84939837, 18391867, 5459237, 337153376, 396495214, ( -1), 303496519, ( -1), 422294825, 114232149, 34548590, 224990397, 234238180, ( -1), ( -1), ( -1), 723407262, 595460309, ( -1), 116600662, 961408106, ( -1), ( -1), 799723436, 925622249, ( -1), 834069259, ( -1), 556796524, ( -1), 379224793, 791738860, 656802622, ( -1), 465708832, 569142805, 475779875, ( -1), 369571287, 383979072, 915932174, 505036905, 905532850, 75601353, ( -1), 493672664, ( -1), 190142671, ( -1), ( -1), 918798499, 260978324, 569340343, ( -1), ( -1), ( -1), ( -1), 753533143, ( -1), 800114313, 353875574, ( -1), ( -1), ( -1), 724987648, ( -1), 264464354, ( -1), 532412330, ( -1), 331176255, ( -1), 429308136, 590439175, 484764354, 446621610, 638645364, 319584727, ( -1), ( -1), 632453253, 206239156, 930796256, 65219588, 771524475, ( -1), 876155514, 136813081, ( -1), ( -1), 941591065, ( -1), 846737738, 135397547, 617829928, 699200421, ( -1), 501276438, 911594650, 814339863, 916037056, ( -1), 747853166, 844247572, 436120981, ( -1), 880805411, 908127602, 150526405, 581723075, 142769805, 240657107, 185404931, 879353572, 609602011, 430195160, 328543634, 124371565, 223515944, 450038289, 293111012, 786883517, 891233224, 591223462, 937261213, 486533782, 567805648, 686985751, 365411577, ( -1), 617573113, 81997403, 598191564, ( -1), 69639852, 773460050, 126366827, ( -1), 789275762, ( -1), ( -1), 947675860, ( -1), 611944109, 479895846, ( -1), 837132772, 372548400, 843274825, ( -1), 83862840, 38014548, 475362331, 479945986, 24839833, 993239703, 172616469, ( -1), 347383511, ( -1), 493322997, 751524688, 585115824, ( -1), 755338107, 596870398, 260324406, 823842073, 715325717, 329133178, ( -1), 545925784, 32695389, 121059517, ( -1), ( -1), 311880740, 816918096, ( -1), 638919645, 91007729, ( -1), ( -1), 619859730, 360111791, 839510741, 86728876, 977456755, 130866860, 510465090, 297263960, 995344798, ( -1), ( -1), 131471069, 388799695, 590181663, 476638483, 429530265, ( -1), ( -1), ( -1), 444966303, ( -1), 661730585, ( -1), 182115640, ( -1), 939133036, 44040307, 431850435, 921772563, 437178518, 467554108, 530290714, 142315632, 638226381, ( -1), ( -1), 454073726, 756097924, ( -1), 907916663, ( -1), 437966177, 874942856, ( -1), ( -1), 233574949, 403585112, 487795773, 342314849, ( -1), 381777437, 938728222, 977851319, ( -1), 402041019, 48926372, 887436647, 272764122, 847123191, ( -1), 582149061, 956865473, ( -1), 375345565, ( -1), ( -1), ( -1), 511210166, 706467330, ( -1), ( -1), 636650871, ( -1), 951427379, 143808192, 928243723, 789330023, ( -1), ( -1), 510565666, ( -1), 667625716, 514449696, 282477766, 569842631, 910289099, ( -1), 444005424, 157439147, ( -1), ( -1), 429928654, 757211621, 151402477, ( -1), ( -1), 583915183, 330952036, 255541985, 347058241, 951666832, 899592576, 819137418, ( -1), 911606288, 430376867, ( -1), 471020481, ( -1), ( -1), 959160993, 344197565, ( -1), 315913326, 391959153, 76000602, 927453573, ( -1), 573707176, 405707866, 747597226, 959976320, 797025538, 737634980, 971558698, ( -1), 508765899, 567074383, 608226067, ( -1), 815824263, ( -1), 639607497, ( -1), ( -1), 357277337, ( -1), 396969327, ( -1), 335469935, 682040960, ( -1), 26092870, 281744389, 952337432, 934090291, 442766142, ( -1), ( -1), 908988081, ( -1), 939195103, 631570609, 98973131, 516141324, 176583645, 777608372, 604146790, 960634649, 741641068, ( -1), 557671525, 75363466, 31230828, ( -1), ( -1), 360751409, 530001542, 520443073, 473975831, ( -1), 258549523, ( -1), 83989958, 794837242, 315493565, 779736369, 699787010, 458538796, 361891648, 413082278, 734801761, 938917254, ( -1), ( -1), 662596108, 923911648, ( -1), 793622674, 764710145, 866116519, 645782493, ( -1), ( -1), 625231953, 3513621, 441563243, 147484991, 939901630, ( -1), ( -1), 738251911, 517870081, 378151289, 252819117, 640856640, 484995888, 524409991, 802536201, 894850960, 430364498, ( -1), ( -1), ( -1), ( -1), ( -1), 603893688, ( -1), ( -1), ( -1), ( -1), ( -1), 462548789, 790991597, ( -1), ( -1), 709343215, 806506251, 742893859, ( -1), 815386932, ( -1), ( -1), ( -1), 990503799, 58330838, 727112894, ( -1), ( -1), 521347206, ( -1), 370663185, ( -1), 670115244, 532848984, 81223865, 787868696, 620693436, 966205952, 376063517, ( -1), 268913729, 258294799, ( -1), 89005109, 868597613, 271600486, 111676817, 790085983, 768200020, ( -1), ( -1), 90276600, ( -1), 793145691, 606001577, ( -1), 285048695, 374956884, ( -1), ( -1), 512737367, 369314655, 912873829, ( -1), 193323603, 269690252, ( -1), 364377842, 319445552, ( -1), 444751923, 840505406, 128030242, ( -1), 518458784, 865360206, 391287112, 613333287, 33262611, 765145193, ( -1), 827771402, ( -1), 689960357, 929826752, ( -1), 710446351, 735779074, ( -1), ( -1), 651275710, ( -1), 985669975, ( -1), ( -1), ( -1), 474113523, 551765000, 100160402, ( -1), 891236986, 970738231, 766585301, 831213293, 343563674, 11218483, ( -1), 960542059, 385971548, 598045089, 160625590, ( -1), ( -1), 69402208, 377923568, ( -1), 752269955, 495581512, 415574453, ( -1), 373074905, ( -1), 524225649, ( -1), 208649623, ( -1), ( -1), 589450558, 701986516, 796478683, 677794038, ( -1), 849410421, 654221090, 747327365, ( -1), 299975304, 633366567, 87695053, 399000562, 129646178, 80869989, 721275691, 747792560, 178542629, 647207479, ( -1), ( -1), 410933050, 106912760, ( -1), ( -1), 959267322, 885588612, ( -1), 53086436, 173061583, 926672186, 726573983, ( -1), 744395736, ( -1), ( -1), 515947392, 266507188, ( -1), ( -1), 753545171, 337830116, 676787735, 893840672, 771125168, 488227096, ( -1), 919226172, 510666290, ( -1), ( -1), ( -1), 901801042, ( -1), ( -1), ( -1), 608710228, 438877196, 360819865, 939390510, ( -1), ( -1), 986300951, 83164870, ( -1), 15040192, 891601324, 492334789, ( -1), ( -1), 907883052, 482730309, 132237793, 556129996, ( -1), 113069096, 454675602, 472887281, 781630568, 120354204, 585637717, ( -1), ( -1), 332832438, 117383951, 160569880, 600164250, 986985658, ( -1), 424969364, 101189427, 995118578, 375840782, 455045885, ( -1), 628177640, ( -1), 871435910, 231578857, ( -1), 723176894, 468196603, 748268609, 212775524, 19888824, 366192255, 850739866, 880753632, 890243787, 457979017, ( -1), ( -1), 287256264, ( -1), 559226038, 324571139, 764276176, 649303899, 143394636, 125709154, 94682729, ( -1), ( -1), 320241156, 84881738, ( -1), ( -1), ( -1), 940236366, 58571597, 110235084, 508461626, ( -1), ( -1), ( -1), 657529833, 482673960, ( -1), 767915960, 575878711, 237490204, 26818062, 5502955, 304764621, ( -1), ( -1), 564108574, ( -1), 624639811, 598451971, 468172268, ( -1), 21640097, 765641356, 501030988, 338173006, 25418007, 296112924, 821270859, 405865921, 866994331, 199071423, 517396867, ( -1), 465464598, ( -1), 905798970, 193084637, 519999754, 364949089, 994500932, 889889973, ( -1), 939419189, ( -1), ( -1), 561301019, 685777239, 86555399, 263487159, 273973567, 209255842, 95371719, 676906024, 150967569, ( -1), 504983341, ( -1), 380329476, 954118199, 560232008, 892434777, 626126709, ( -1), 890233052, 309202603, 474176683, ( -1), 840511088, 192035845, ( -1), 371637355, ( -1), ( -1), 647082406, 327818596, ( -1), 225472081, ( -1), 487508768, 925501871, 396810751, 319412666, ( -1), ( -1), ( -1), ( -1), ( -1), 348689538, 333031299, 85862497, 747409675, 688870300, 256406731, ( -1), ( -1), ( -1), 840236030, ( -1), 524984360, 341866529, 852813830, 692702785, ( -1), 125257161, 831454529, 737914939, 688134753, 86720583, 544637929, ( -1), 211980176, ( -1), ( -1), ( -1), 559135462, 636107049, 647833894, ( -1), 402501084, 372818871, 195589871, ( -1), 50460722, 123184787, ( -1), 971817589, 211467933, 489610368, 571775128, 156602463, 669346065, ( -1), 445159385, 222390712, ( -1), 816168872, 864242750, 65083233, 877028342, ( -1), 570674866, 226050095, ( -1), 26199939, ( -1), ( -1), ( -1), 311847289, 951331933, ( -1), 351821085, 443335749, 888753547, ( -1), ( -1), ( -1), ( -1), 742145756, 315446889, 538565803, 112846754, ( -1), 401702984, 96851964, 388128501, 189396464, 937210930, 733390968, 874226982, ( -1), 765732194, 812019830, 729540633, ( -1), 12127045, ( -1), 55928686, 267541894, 805022002, 43129395, ( -1), 834960606, ( -1), 318369788, ( -1), ( -1), ( -1), ( -1), 165157721, 996802109, 149770788, 94266809, 282293370, ( -1), 421657388, 965489610, ( -1), 357317946, 567084292, 675069334, ( -1), ( -1), ( -1), 833148154, 338840183, 4348699, 160231860, 849318694, 796816903, ( -1), 513321649, 536947617, 125182172, 363256321, 886694741, ( -1), 307585079, 38025821, 894493501, ( -1), 923827903, 620236351, 431285842, 963369297, 223480579, 944409289, ( -1), ( -1), 631088020, ( -1), ( -1), ( -1), ( -1), 800337673, 737529496, ( -1), 565734023, 375601214, 289362698, 292293366, 667663125, 88910014, 610442580, ( -1), 701907174, ( -1), 648484925, ( -1), 709696554, 463727624, 656698038, 703636097, 446814932, 847884434, ( -1), 802661552, 796518927, ( -1), 633874314, 973518333, 609535659, 350243101, 9155443, ( -1), 857134426, 71623076, 188895448, 644684990, ( -1), 139987481, ( -1), 463301762, ( -1), 610686760, ( -1), 467403416, 62316492, 797390587, 681920654, 272660836, 709682391, 210358093, 626328193, ( -1), 990678689, 622885404, 62176431, 409475643, ( -1), 82695394, 493226401, 645533238, 524899303, 113180215, 786208988, ( -1), 240777255, 637263944, 581123813, 695059477, 846359380, 905098949, 403652664, ( -1), 801845855, 625685390, 497929115, 750551736, 489628819, ( -1), 833605553, 381256638, 497017227, 98292616, 544356136, 853390951, 122622236, ( -1), 299916183, ( -1), ( -1), ( -1), 941924383, 926364838, 78046268, 54301221, 956855704, 96098047, 448929650, 173472858, 259731573, 641449428, 257734756, ( -1), 727752344, 52017638, 980954806, ( -1), ( -1), 88860415, 171562400, 417496553, ( -1), 758255347, 999909348, 270432135, 128386495, 898219163, ( -1), ( -1), 666523582, 976376627, 963614975, 828048524, ( -1), 425705878, 100179413, 673651530, 73833163, 520184860, 24249304, ( -1), 803743212, ( -1), 978454787, ( -1), ( -1), 782799326, 189421466, ( -1), 251802489, 469153401, 696029214, 156846865, 153412923, 51573983, 799063039, ( -1), 911442771, 905087707, ( -1), 295661459, 604922470, ( -1), ( -1), 93554912, ( -1), 904185049, 550838867, 488439669, ( -1), ( -1), 1803058, 393050460, ( -1), 507878924, 772861913, 136878139, ( -1), 787018894, 95858273, 900331159, 619212887, 125089810, 460971849, 277355483, ( -1), 317476441, ( -1), 740388949, ( -1), 918875814, 31779477, 323108611, ( -1), 828221912, 454820410, 795195465, 844020002, 989353840, 598631544, 476007365, ( -1), 1361878, 126853919, ( -1), ( -1), ( -1), 651371888, ( -1), 891543824, ( -1), 386552879, 506375604, 123967806, 14004595, 445675861, ( -1), 132961895, 790030377, 131539168, 578423513, ( -1), 162785664, 277534780, 647325820, ( -1), ( -1), ( -1), 314729771, 668793790, 413396659, ( -1), 11149016, ( -1), ( -1), 660333686, ( -1), ( -1), 267476444, 280981510, 557506124, ( -1), 188634957, 865580354, 509244455, 289052469, ( -1), ( -1), 814041105, 381937266, ( -1), 760410727, ( -1), ( -1), ( -1), 655865774, ( -1), 119746307, 52679316, 968228123, ( -1), ( -1), 607004664, 20539642, ( -1), ( -1), 516712133, 417618407, ( -1), ( -1), ( -1), ( -1), 366670461, 247486256, 777551870, 721695319, 841524825, ( -1), 326988836, 100420031, 887317807, 638527263, 564786241, 567923970, 452362285, 881748574, 813532089, 88825125, 862793588, 42954760, 413415178, 903881466, 468784089, 936435741, 604693536, ( -1), 921100082, 663610296, 648043490, ( -1), 550610369, 454773665, ( -1), 112170857, ( -1), 794276843, 297998752, 287169701, ( -1), 239608222, ( -1), 692708169, ( -1), 668309760, ( -1), 117130757, 303769031, ( -1), 391974976, 884348141, 80663140, ( -1), 256672692, 802768792, 896939879, 392188678, 505073361, 724101564, 610538685, ( -1), 422172957, ( -1), 183597657, 336648395, ( -1), ( -1), 153086658, ( -1), ( -1), ( -1), 980354754, ( -1), ( -1), 709688720, 582026672, 202660207, 429835136, 522593155, 474714949, ( -1), 959078543, 144300988, ( -1), 87108478, 652674562, 944891783, 481274140, 792454400, ( -1), 569833705, ( -1), 796289405, 47647020, 674148624, 320088136, 274728767, 620185209, 871262990, 428839072, 776237960, 411668299, 709090989, 343140312, 9491871, ( -1), 901006586, 416343351, 688261844, ( -1), 933677055, ( -1), ( -1), 969991417, 3727981, 427139017, 593873018, ( -1), 557843455, 531400685, 761467580, 41805089, 90542668, 839387379, 341451028, 893881910, 123836284, 32777831, 500072390, 610078375, 491078236, 853671496, ( -1), 588833261, 989046051, 436072787, 937689412, ( -1), 785653550, ( -1), 100816461, 15522412, 98323237, 133015149, 371748659, 864927735, 935455530, 325109939, 377386326, ( -1), 343399716, 675410986, ( -1), ( -1), 121745273, 442925115, 847802069, 922614246, 323158118, ( -1), 192493749, 954917693, ( -1), 627381816, 205791719, 837031359, ( -1), 490758712, ( -1), 545191434, 989252159, 720095961, ( -1), 193648082, ( -1), ( -1), 422656336, 802885052, ( -1), 637970158, 472935160, 889301394, 641645048, ( -1), ( -1), 727350540, ( -1), 264144864, 548580853, 260883475, 425320049, 749821294, 723919824, 694521495, 307669889, 37192862, 126109413, 152354160, 438622183, ( -1), 856398761, 160134258, ( -1), ( -1), 932636860, ( -1), ( -1), 308883672, 649038842, ( -1), 543199242, 310419011, 108847315, 992872268, ( -1), 317325215, 71218641, 166331132, ( -1), 477078775, ( -1), 594994861, 865651479, ( -1), ( -1), ( -1), 347911290, 223560092, ( -1), ( -1), 524857048, 417427079, ( -1), 620042493, 164429315, 758949580, 571049353, 879621731, 107822209, 488797940, ( -1), ( -1), ( -1), ( -1), 848577238, 234722942, 841668380, 176708290, 250712010, 633026569, 769353950, 910539840, 263611591, 812611629, 450106016, 146358978, 431911691, ( -1), 22429509, 945573614, 791994714, 368605078, 891628002, 4848515, ( -1), 170220318, 975112465, 763163818, 565558563, 214045021, ( -1), ( -1), ( -1), ( -1), 461660555, ( -1), 687365941, 970518852, 548704016, ( -1), 148752543, ( -1), 157196023, 295560438, ( -1), 94748143, 641834290, 551969456, ( -1), 252942935, ( -1), 484325016, 259789482, 430264687, 323712947, ( -1), 70573977, ( -1), 852058574, ( -1), 104236409, 438723847, ( -1), 580489004, 200491244, 75612112, ( -1), 540653896, ( -1), ( -1), 904083801, 776344321, ( -1), 455024408, 946815445, ( -1), 720851549, ( -1), ( -1), 607382730, 188379769, 886554321, 189787806, 15139663, 651116434, 81674295, 476505276, ( -1), ( -1), ( -1), 619540699, ( -1), 721692934, 617844066, 777740597, 288181602, 256752179, 410216120, 654262187, 822960956, 167659802, 192095011, ( -1), 537767053, 800930333, ( -1), 265647128, 198323932, 843371299, 350726590, ( -1), 663038051, 502855775, ( -1), 914559699, ( -1), 601164817, 127367331, 167886586, 7022170, 715164457, 421843877, 264329789, 806009759, 1962536, 897776492, 353866150, ( -1), 111365532, 256165781, 753972633, 101237616, ( -1), 722778897, 872393940, 371941386, 12703658, 725695164, 964893172, 822441677, ( -1), ( -1), 200148155, 185593360, ( -1), 298691854, 906177229, ( -1), 820905457, 587829227, 857674031, 825385814, 388615128, 863544420, 540259408, 210111189, 420487299, 18933411, 254276718, 547194917, 798882759, ( -1), 141273458, 134344396, 2690906, ( -1), 3043466, 571249898, 602352681, 983783923, 420249690, ( -1), ( -1), ( -1), ( -1), ( -1), 772094645, 237828882, ( -1), 777242842, 487300074, 528271822, 711984542, ( -1), 235618080, ( -1), 949261942, ( -1), 519438786, 679416892, ( -1), ( -1), 433629922, 562836160, 102889050, ( -1), ( -1), 329980620, 536727519, 486185817, 10499583, 903932889, 303035268, 536787827, 621756691, ( -1), 443968365, 416561889, 458463066, ( -1), 830829366, 611636191, 485793582, 860787964, ( -1), 90061578, 537248458, ( -1), 719103421, ( -1), ( -1), ( -1), 671184528, 7003149, ( -1), ( -1), 212734836, ( -1), ( -1), 198398045, 181965944, 887033977, 451741357, 133990940, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 883164362, ( -1), 490321060, 221204369, 597541103, ( -1), 380205997, 574305070, 415377065, 851071243, 510738526, 912021266, 938459834, 233328409, 84763415, 967432344, 107491186, ( -1), 352456436, 675631107, 218379675, 437444236, 582979365, ( -1), ( -1), 970132849, 865300104, 240507926, 349774329, ( -1), ( -1), 489908183, 348556730, 472488983, 472632858, 56456019, ( -1), 994221940, 652131115, ( -1), ( -1), 255949533, ( -1), 283626136, 274448912, ( -1), ( -1), ( -1), 212295173, ( -1), 301688153, 371167287, 236908888, 661589001, 36552313, 248595288, ( -1), ( -1), ( -1), 909134395, ( -1), 585039182, 71860839, 952644422, ( -1), 744788292, 966908196, 309042744, 871227380, 528875365, 199930744, 735635826, 853381264, 479963284, 383163584, ( -1), ( -1), 710423095, 394376468, 106244974, 275069368, 96425487, ( -1), ( -1), 505688611, ( -1), ( -1), ( -1), 297966671, 515848609, 374586776, 287892143, 619289320, 930456900, ( -1), 549290099, 195435635, ( -1), 603816584, ( -1), ( -1), ( -1), ( -1), ( -1), 823199123, 527273134, 373719448, 408565499, 536098035, 33773236, 761809037, 781160884, 419932644, 860564866, 742551318, ( -1), 884282222, 154982258, 466956162, 219276301, 993160075, 655212945, 928927252, 326173231, 876374433, 711361455, 275990866, ( -1), 253958174, ( -1), 9458324, 751599602, 757135839, 951237231, ( -1), 254642101, 111658771, 645280898, 313981084, ( -1), ( -1), 311116110, ( -1), ( -1), ( -1), 609363530, 279573533, 455057373, 665911525, 793481119, 844396851, ( -1), 43666317, 382565409, 92581422, ( -1), ( -1), ( -1), 693876863, 682291440, 504366904, ( -1), ( -1), ( -1), 280088320, 803439895, 267369074, 209852599, 812012447, 483770936, 211637371, ( -1), 876965986, 470021843, 914609713, 525519652, 816145766, ( -1), ( -1), 590206000, ( -1), 883090599, 889480125, 655185951, 411941936, 457768515, 55832434, 224148057, 913520767, 590186375, 596088017, 170970792, 473108663, ( -1), 204129841, ( -1), ( -1), 231572324, 594017997, 491321692, 270602228, ( -1), 302944655, 652024930, 286023189, 645212579, 35548557, 247910842, 961568802, 922347401, ( -1), 657669892, 271572018, ( -1), ( -1), ( -1), 653613304, 864090910, 71733957, 395038019, 763657794, ( -1), 727483980, ( -1), ( -1), 253641663, 818730859, 438952788, 872935681, 826192104, 9152351, ( -1), ( -1), ( -1), 871621100, 267211949, 362122892, 660052855, 417973688, 573353939, 92461782, 733210223, 155529973, 108947844, ( -1), ( -1), 163682112, ( -1), 187016681, 684311819, 76055916, 364010880, 106407702, 664098047, 283566782, 738988387, 465924000, 362450538, ( -1), 366607728, 975716493, 845825583, 298504721, 224972870, ( -1), 358523899, ( -1), 767996800, ( -1), ( -1), ( -1), ( -1), 173413684, ( -1), 577175585, 3009121, 937997637, 976985962, 17855380, 518162002, 572501254, 748379456, 937021248, 37026164, 156318828, 310297739, ( -1), 389150577, 709572072, 340905459, 718318716, 592090523, 277168897, 268926642, ( -1), ( -1), 356604523, ( -1), ( -1), 746175788, 800029145, 586193462, 116065399, 769934898, 347479358, ( -1), 826399203, 883012957, 768009439, 175560197, 762961709, ( -1), 347948361, ( -1), 245146464, 491276477, ( -1), ( -1), 349249437, 521119605, ( -1), 473307554, 273105238, 202602552, 809042980, 937234224, 303663262, 338068023, 47549578, 684898010, 694494706, ( -1), ( -1), 990358157, ( -1), 333293766, 532985713, ( -1), 385967062, 681667305, 897681, 629266233, ( -1), ( -1), ( -1), 118499205, ( -1), 271555227, 733663225, ( -1), ( -1), 30689098, 238611761, 186418309, 914129752, 501461247, ( -1), 20320355, 361005033, 620521550, 433040447, ( -1), 357630134, 977605097, ( -1), 778960577, 452481187, 775247078, 949303649, 957540906, ( -1), 901943092, 283822835, 203951776, 746009059, 794290087, 494385151, ( -1), 436343991, 199992175, 578244243, ( -1), 141304375, 104101809, 348322419, 967746613, 371760863, ( -1), ( -1), 350894530, 119014617, ( -1), 702739511, 261979454, 267726651, 52304073, 430681644, 357780144, ( -1), 153615448, 575814378, ( -1), 642290267, 200734494, 110833041, ( -1), 672020479, 939476823, ( -1), 377696537, ( -1), ( -1), 403639183, 232032211, 606283251, 634631367, 673890424, 112827576, 756061188, 665651662, 687998186, 211396037, 497172098, 337632769, ( -1), 892990740, 320653983, ( -1), 88701434, 434026929, 201367100, 34649445, ( -1), 4299787, ( -1), 952943551, ( -1), 161416603, 592091661, 568478943, ( -1), 854341739, ( -1), ( -1), 690365249, ( -1), 197118469, 666401562, 786623139, ( -1), 940150866, 845828177, 984106704, ( -1), ( -1), 842757763, ( -1), 337300612, 180146444, 686134112, ( -1), 164889832, 843304869, 924881751, 553668981, 177930911, ( -1), ( -1), 852644035, 614287947, 374498102, 882113144, ( -1), 460282606, 111909252, 450621476, 333635428, ( -1), 285482456, 318943233, 457168203, ( -1), 408185836, 544928378, 136746931, 96644878, 198298045, 426952393, ( -1), 628927179, 758160678, 689238453, ( -1), ( -1), ( -1), ( -1), 861450773, 733627456, 994377295, 5741062, 594390831, 304863439, 142693454, 119638497, 968416438, 180824223, 149979760, 851111626, 538672426, 954599677, 485874586, ( -1), 343068058, 736369703, 764279978, 873194190, 568498303, ( -1), 755450464, 868202392, ( -1), 751362819, 412473056, 522307366, 506761539, 757259374, ( -1), ( -1), 676813317, 617119024, ( -1), ( -1), 598665399, 620855388, 130029321, 494245796, ( -1), ( -1), 543027601, 719472723, 954393420, 949987392, 186053102, 395826643, ( -1), 335109782, ( -1), ( -1), 466281509, 766012682, ( -1), 410217129, 861353401, ( -1), 434800461, 327696757, 704839487, 365080914, 406729459, 345909352, 968842934, 164827021, 273226849, 761983995, 407656223, 862187696, ( -1), 69116852, 372393529, ( -1), 962178812, 548080795, 653740417, ( -1), 911169273, ( -1), 995491028, 266252317, ( -1), 952905496, 916287052, ( -1), 923543898, 308020722, ( -1), 460648792, 300573855, 172676977, 258455915, ( -1), ( -1), 574303177, 789908041, ( -1), 852111547, 604953617, 93732586, 103452002, 904305133, ( -1), 126312428, ( -1), ( -1), 967051663, 535100886, 222406951, 475755933, 204608033, 513835614, 990449335, 364904240, ( -1), 784789336, ( -1), 952073089, 468660428, 506709811, 893618835, 687271751, 346027846, 471589573, 109877314, 787708599, 946813727, ( -1), ( -1), 806131115, 336694291, 670815112, 294804573, 893888424, 351025250, ( -1), 705311764, 23184014, ( -1), 504392758, 939943406, ( -1), ( -1), 670085208, ( -1), 84987774, ( -1), 241875162, 236612216, ( -1), ( -1), 344214129, 800267016, 369023540, 28085460, 859513539, 91363564, ( -1), ( -1), 455978055, ( -1), ( -1), ( -1), 70978134, ( -1), 922721385, ( -1), ( -1), 813324320, 893572751, 639464012, 393927764, 953206103, ( -1), 789071753, 87423675, 844312394, 751476446, ( -1), 139443831, 501698534, 600092174, 979473519, 27754474, 679077932, 260697211, 785412911, 832774410, ( -1), 508431105, ( -1), 334865088, ( -1), 542934931, 531253638, 247747286, ( -1), ( -1), 266612554, 274551372, ( -1), 60906773, 273636357, ( -1), 63924807, 317526782, ( -1), 416473027, 439325218, 937786177, 340387928, 58810860, ( -1), ( -1), ( -1), 275503870, ( -1), 616180391, 927788102, 813409930, 460054568, ( -1), 856122237, 241710105, 900751477, 395761203, 96272570, 86129802, 919569161, 802008804, 113146987, 452175385, 948167269, 535542681, 298271228, 829900461, ( -1), 237231269, ( -1), 63337099, 366154339, 730199769, ( -1), 503880923, 339775675, ( -1), 689277374, 919397379, ( -1), 827892007, 427525800, 160346223, 320911649, 258326040, 276533392, ( -1), 427287332, 190744674, 814864321, 204555597, 1605484, 634765456, 509054171, ( -1), ( -1), 452743450, 425177083, 536765217, 391920136, 878986406, 128362007, 449567347, 583160206, 651869906, 689817085, 907581290, 777481408, 317730255, 308254214, 303790555, 365249705, 423963930, 790854643, ( -1), 128850206, ( -1), ( -1), 511624908, 911402191, 726848474, ( -1), 533805318, 326783237, 492480606, 646201445, 447501667, ( -1), 177459451, 676251846, 429539810, ( -1), 184185531, 496809349, 718205787, 419954607, ( -1), 320455569, 28338169, 255639373, 960903313, 560205798, 731053680, 867639486, 627125841, 156982250, 944296318, 753301318, 129189242, 696212702, ( -1), ( -1), 643523657, ( -1), 110923922, 749565983, 163313441, 472568972, ( -1), 535689342, ( -1), 124355243, 788395443, 856506333, ( -1), ( -1), 521118137, 828246640, 332390679, 937777484, 630631531, 879320822, ( -1), 523902144, 150174343, ( -1), ( -1), ( -1), 666606954, 500056893, ( -1), ( -1), ( -1), ( -1), ( -1), 280113447, 350742465, 883133729, 575732475, ( -1), 537983025, ( -1), 511441188, 253106166, ( -1), 788805935, ( -1), 769538323, 370192000, 868181725, 491358037, 57192662, 921659811, 154501707, 17596592, 292382359, 284498511, 620992825, 294995112, ( -1), 183212534, 631142103, 956200578, ( -1), ( -1), 869955339, 351014547, ( -1), 822482940, 564667, 570053060, 275047423, ( -1), 48195015, ( -1), ( -1), 625745691, ( -1), 803301051, 722943860, ( -1), 839152673, 644531514, ( -1), 277557308, 724118260, 52003164, 229339516, 72825826, ( -1), 341698585, ( -1), 370298567, 740608469, 573479412, 268986903, 736313896, 534604179, ( -1), 377292804, 26726917, 635534509, ( -1), 983669846, 744939833, ( -1), ( -1), ( -1), 53384364, 25399937, 881695165, ( -1), 544703512, 437827908, ( -1), 965380391, 441493324, ( -1), 684488216, 823714641, 283025968, 171661469, 520675496, 165132760, ( -1), 281389026, 707598856, 50984371, 755414809, ( -1), ( -1), 341783532, 867324681, 714376218, ( -1), 158287853, 915215775, 302863779, 928258968, ( -1), ( -1), 793264773, 594588006, 315631100, 310542130, ( -1), 627739474, ( -1), 708780499, 264609498, 289963822, 245669163, 141152489, ( -1), ( -1), 124346202, ( -1), ( -1), 661629041, 59409787, 731183061, 77960310, ( -1), 859101909, ( -1), 339557472, ( -1), ( -1), 264713013, ( -1), 132352623, 753233175, 835335135, 976048524, ( -1), 17550177, 225998389, ( -1), 819467104, 911454161, ( -1), ( -1), 991953735, 125004527, ( -1), 562165621, 667155038, ( -1), 390005863, ( -1), ( -1), ( -1), ( -1), 268340341, ( -1), 77798878, ( -1), 132917216, 125175175, 232482520, 394185455, 516386255, 735138555, ( -1), 296469122, 926868672, 617400158, 954004113, ( -1), ( -1), 460193183, ( -1), ( -1), 807479414, 109009992, 226170562, 736860439, 685944075, 733667635, 592895327, 472296849, 512416821, 344547139, ( -1), 815464523, 749017827, 703605433, ( -1), ( -1), 178409993, 591202024, ( -1), 733362585, 291779707, 562194893, 80214344, 251324276, ( -1), 764501890, ( -1), 660191225, 511050691, 585684784, ( -1), 226739802, 214142312, 514083184, 286806133, ( -1), 309956713, 769961899, ( -1), 975006749, ( -1), ( -1), 839753764, 870975133, ( -1), 345924133, ( -1), 374944167, 410987943, 902254812, 610951827, 619172533, 241181748, ( -1), 168492620, ( -1), 331863169, 897945392, 784157707, ( -1), 804900901, 594004403, 697156697, ( -1), 95903813, 350657782, 879561992, 623007069, 397299876, 701001076, 357355940, 300045620, 265736959, 314242112, 907549174, 635290474, ( -1), ( -1), 987284562, 944009031, 270803275, ( -1), 118892169, 426147986, ( -1), 471063254, ( -1), 277157824, 561098725, ( -1), 725361006, 642910232, ( -1), 338901730, 112421960, ( -1), 577818050, ( -1), ( -1), 167810070, 230982844, ( -1), 216854696, 514873150, 171463268, 728057291, 728849329, ( -1), 981683485, ( -1), ( -1), 977457191, ( -1), 273147947, 69730048, ( -1), ( -1), 880433553, 169067017, 701833831, 134826948, 128820602, 638757853, ( -1), ( -1), 379958484, 6201565, 380704812, 667867601, 693238045, 148538403, 96192446, ( -1), 707468630, ( -1), 651470069, 488423782, 825732768, ( -1), ( -1), ( -1), 538888033, 142354157, 442968142, 968248162, ( -1), 257410307, 33017496, 193390403, ( -1), ( -1), 278556191, ( -1), 568155836, ( -1), 622855965, 892262678, 607634646, ( -1), 68036582, 933976444, ( -1), ( -1), 462727638, ( -1), 313474271, 7673791, 670345602, 411764978, 403164132, 135729244, 851234347, 240974478, 58520389, 216824625, ( -1), ( -1), 523095305, ( -1), 46451510, 515987574, 104447534, 375650055, 233253393, ( -1), 733138230, 698889145, ( -1), 834435891, 987564542, 234460996, 232478480, 347028665, 680187150, 374176958, ( -1), ( -1), 713524320, 482009985, 111164944, 76087087, 571955917, ( -1), 678193464, ( -1), 494932869, 637622231, 953958010, 472608123, 285156183, 311159526, 87101139, 200738066, 251202441, ( -1), 358415684, 411824003, ( -1), 822373198, ( -1), ( -1), 587183125, 300385420, 415988314, ( -1), ( -1), 512899309, 480487580, 362630940, ( -1), 925732689, 98551437, 737474798, 811672297, 427594825, ( -1), 702815016, ( -1), 966638190, 250811618, 481390581, 942104185, 599261410, 540920119, 483311836, 560578699, ( -1), ( -1), ( -1), ( -1), 379796722, ( -1), 758581678, 93142889, 732725275, ( -1), 828108367, 582006604, 942930244, ( -1), ( -1), 647199828, 791973748, 720414769, 465669527, 729061313, ( -1), 914781804, 387102059, 909676462, ( -1), 693235954, 416509695, ( -1), ( -1), ( -1), 294507165, 550059644, ( -1), 972576159, ( -1), 417820125, 779158640, 669217627, ( -1), 305572129, 551553431, 271655498, 755189976, 801832092, ( -1), ( -1), 230129517, ( -1), ( -1), ( -1), 217264123, 984302183, 167243525, 731815283, ( -1), ( -1), ( -1), 454969273, ( -1), 541355758, 28408462, ( -1), 792167574, 187556901, 264389121, ( -1), 732481262, 232371609, 256737972, 317988896, 170628197, 401738238, 89161924, 624332647, ( -1), ( -1), 364127697, ( -1), 903269102, 717540661, 83654409, ( -1), 840113731, 785115880, 416590426, 682229184, ( -1), ( -1), 503753445, 294861064, ( -1), 160499731, ( -1), 428843455, ( -1), ( -1), 146617242, ( -1), ( -1), 431803878, 670871584, 454587301, ( -1), 527609885, 73330810, 637240404, 201898161, 930394432, 627115105, 397516787, 359381172, 211769147, ( -1), 380120860, ( -1), 423235468, 850233053, ( -1), 157668995, 861904025, 479532139, ( -1), 583884572, 8438526, ( -1), 750547198, ( -1), ( -1), 16455333, ( -1), ( -1), 252698275, ( -1), 104024806, 190799968, 849279551, 804978538, 612892611, ( -1), 98989246, ( -1), ( -1), 828643125, 972111601, ( -1), 543157994, 719200689, 261370243, 520998344, ( -1), ( -1), 732924879, 96149779, 995819615, 492480148, ( -1), ( -1), 687434104, 932376409, 153069835, ( -1), ( -1), ( -1), ( -1), 396966311, 579826326, ( -1), 913642652, 177440393, 458469232, ( -1), 612560502, ( -1), 506224524, ( -1), ( -1), 207437913, ( -1), 359933547, ( -1), 881178006, 807100483, 146524501, 904074801, 809932419, ( -1), 337747669, 244532389, 447377090, 240790787, 553952377, ( -1), 357523654, ( -1), 499859853, 149785294, 455833250, 503719203, 559655933, 55816350, 684556768, ( -1), 613539838, ( -1), ( -1), 112526727, 181332717, 221144899, ( -1), 887021090, 278862102, 58497659, ( -1), ( -1), ( -1), 987026458, 685695280, 95321028, 405030385, 968299734, 43007697, ( -1), 351164553, 904378623, ( -1), 335810854, 362414856, 537397505, ( -1), 835060536, ( -1), ( -1), ( -1), ( -1), 834653468, 15189916, ( -1), 58213873, 230118617, 361429513, 373854670, 778025579, 704645798, 362966998, 698244612, 312433189, 727080087, ( -1), 489640538, 890513070, 554663133, 154215357, 196282219, 661620754, 453701154, ( -1), ( -1), 612393821, 765438221, 265917166, ( -1), 105980268, 738394388, ( -1), 826541244, 241856081, 457553113, 59852497, 700563239, ( -1), ( -1), ( -1), 351597241, 551567003, ( -1), ( -1), ( -1), 937111701, ( -1), 128739876, 767732239, ( -1), 388485093, ( -1), 30813955, ( -1), 726224918, 616557177, 341427922, ( -1), 599798575, 341534957, 151307183, 22445966, ( -1), ( -1), ( -1), 999939538, 662994817, 752517335, ( -1), 95950470, ( -1), ( -1), ( -1), 147881885, 234049574, 159631585, 676677861, 290986260, 948254269, 986327200, 219976916, 849858734, 219591241, 400064233, ( -1), 51701039, 220744657, 221768393, ( -1), 56877584, 104338350, ( -1), 27730932, 573356863, ( -1), 488531469, 824746954, ( -1), 419350143, 190945232, ( -1), ( -1), 280326719, 177969734, 132516352, 359137813, 129504662, ( -1), 112977348, 349299693, ( -1), 359083297, 408308752, 96348003, 767003056, 601232899, 864788522, 122505193, ( -1), 652536678, 330209620, 797014908, 191915874, 111749391, 931111887, 63021881, 779263290, ( -1), ( -1), 552350542, 333824994, 397247437, ( -1), 556558361, 280126830, ( -1), 6554703, 323617856, 695740620, 270822931, ( -1), 84694269, ( -1), 244062411, ( -1), 794729443, 411093406, 624003057, ( -1), 100040430, 576498830, ( -1), 487176886, ( -1), 107162720, 504768151, 778912418, 771795996, 102669127, 556220074, ( -1), 709521021, 767966463, ( -1), ( -1), 409782374, ( -1), ( -1), 658382299, 998872859, 619201297, 734262422, 628750215, 123687805, 624242939, ( -1), ( -1), 106556679, ( -1), 348591556, ( -1), 525130275, 491831486, 427788027, 419374772, 530097227, 306584796, ( -1), ( -1), 77218962, 804547642, 159361473, 624587109, ( -1), 382736889, 584995213, 84470208, 204842914, 566374692, 203025758, 345383186, 192594766, 167907871, 288390534, ( -1), 384948586, 154931649, ( -1), ( -1), ( -1), 287087871, ( -1), 865434219, 282989746, 424833207, 118480092, 98607051, 672620208, 933715367, 153549809, 463722928, ( -1), 352503513, 509986511, ( -1), 154866006, 356258852, 910287283, 84245838, 8425011, ( -1), ( -1), ( -1), 294312116, 995637828, ( -1), ( -1), 800608554, 615680668, 211141909, 35262192, 706399618, 813902122, 74992951, ( -1), 23418994, 338097402, ( -1), ( -1), 449254700, 499790978, 95924780, 904130330, 229948175, ( -1), 798912719, 202044843, 216235000, ( -1), 435355550, 683974604, ( -1), 116899222, 506549590, 777794715, 667058603, 860369161, 988036116, 133337354, 544774099, ( -1), 424743800, 6620275, 847892038, ( -1), 877642316, ( -1), ( -1), 701518376, 418589666, 438236578, 75343804, 583722816, 766747259, ( -1), 268565085, ( -1), 916097682, ( -1), 927046332, 640509827, ( -1), 95839762, 199686419, 942506032, ( -1), 491204536, 10445186, ( -1), ( -1), 879293269, 911671561, 610869444, ( -1), 329082946, 711751899, 655933926, 929888220, 351715125, 314147821, 11551036, 969487409, ( -1), ( -1), 462858190, 561918829, 676595991, 745047164, 962655734, ( -1), 227349320, 621960709, 380820351, 792254941, 881821747, ( -1), 182527482, 24287488, ( -1), 819986523, 138447545, 263400259, ( -1), ( -1), 724775450, 189802118, 742414358, 417248034, ( -1), 981396319, 976642151, 473182197, 864020911, 676799005, ( -1), ( -1), 286610107, 37768602, 652307379, 730842136, 514892751, 67786390, 100806314, 244074015, 975614563, 949704145, 627424351, ( -1), 50421684, ( -1), ( -1), 774024105, 146509283, 172234338, ( -1), 405883144, 341699762, 590084921, 332580811, ( -1), ( -1), 397373286, 8524379, ( -1), ( -1), 148248287, 934509961, 74179652, 527501819, 524756479, ( -1), 777962798, 510217466, ( -1), 31710170, ( -1), 599571044, 419944093, 89457042, 522273703, ( -1), 562928353, 103423247, ( -1), 109586025, 314112351, 575275341, ( -1), 829011922, ( -1), 129900180, 438867958, ( -1), 87566171, 688864125, 561607611, 630864110, 485639786, 802111927, 779297939, ( -1), ( -1), 524916755, ( -1), 353939018, 382809102, 292292444, 482033982, 476012231, ( -1), 772279258, ( -1), 274774485, 48938117, 206781713, 705697491, 382210253, 849365409, 187344384, ( -1), 896710930, ( -1), ( -1), ( -1), 897965335, 56461925, 803428482, ( -1), 815351104, 964259198, ( -1), 590266638, 47076766, 603461244, 495441406, 942933663, 614620949, 903310827, ( -1), 235649403, 849467315, 6687953, 892510735, 704272012, 711310501, ( -1), 910617913, 196964898, 699142470, ( -1), 747177062, 546722756, ( -1), ( -1), 872692345, 874239184, 13765083, 763613160, ( -1), ( -1), ( -1), 579021474, ( -1), ( -1), 384759184, 27839251, 61924578, 557291473, 800653020, 664337761, 229434715, 54404470, 767764129, ( -1), 505474, 488342006, 12801211, 562629174, ( -1), ( -1), 860125322, ( -1), 862045282, ( -1), ( -1), ( -1), ( -1), 893215115, 686620420, 631179534, ( -1), 357354980, 221083259, ( -1), ( -1), 929978278, ( -1), 311137851, 487679712, 987717801, 515997114, 748645858, 883315913, 4039777, 151953796, ( -1), 796384388, ( -1), 841866448, 97131578, 795137504, 855588295, ( -1), 87085404, ( -1), ( -1), 171787449, 460736410, 182262886, 714205169, 569178407, 104396675, 767264181, 89656716, 845011403, ( -1), 469219376, 878065964, 503852522, ( -1), 763578927, 941159670, 410845054, 6938884, ( -1), 769159161, 103097392, 442170450, 649342373, ( -1), 693030653, 375745159, 749915378, ( -1), ( -1), 172284604, 90978836, 763654913, ( -1), 234315259, ( -1), 494825571, 68197780, 902916530, 576820304, 869028428, 664532315, ( -1), 476634957, 45697614, ( -1), ( -1), 594610156, ( -1), ( -1), 991673382, 758515099, 734459221, 581198766, 590421764, 845639982, ( -1), 400047567, 259596729, 305358721, 529892557, 22896757, ( -1), ( -1), 314538845, 106171351, ( -1), 68201826, 80480379, ( -1), 130883508, ( -1), 627912556, 767012172, 584010945, 81412091, ( -1), ( -1), ( -1), ( -1), ( -1), 524797902, 956123925, 78741782, ( -1), 591012188, 641060782, 895604263, 541926185, 772909164, ( -1), 122797071, 537724148, 849919823, 197107514, 50984978, 268816861, 120277494, ( -1), ( -1), 909173596, 400035334, ( -1), 195131786, ( -1), 737258337, ( -1), 49921556, 644049672, 474314492, 961649681, 939437392, 179577294, 786870522, 973724507, 443888014, ( -1), ( -1), 315476781, ( -1), 644057722, ( -1), ( -1), 857016046, 647526083, ( -1), 946690094, 25310396, 470115021, ( -1), 856793518, ( -1), 390599005, 813372887, 70657309, 412510038, 545928171, ( -1), 210787164, ( -1), ( -1), 693354276, 782699787, 481473344, 925360740, 79667323, ( -1), 314948208, 394888324, 122073337, 420616579, 168144795, 3280495, 69274722, 262602735, 552975833, ( -1), 590981965, ( -1), ( -1), 886535032, 536354507, 461586013, ( -1), 538224569, 788018693, 388070090, 940268762, 170953311, 3446348, ( -1), 674515671, ( -1), 178981897, 490473961, 204825680, 898564330, ( -1), ( -1), 123346016, 278532707, 934830403, 319784282, ( -1), ( -1), 114986150, ( -1), ( -1), ( -1), 419827673, ( -1), 7219927, ( -1), ( -1), ( -1), 867112432, 985009202, 457240675, 677439664, 649065106, ( -1), 146616287, 798629022, 2780391, ( -1), 297194933, 68113636, 485360794, ( -1), ( -1), 654973097, 429181956, 998303265, 330356927, 999895411, 134279409, 596222699, 407929149, 888780868, 574157671, 557591328, ( -1), 127327638, 281344041, 425552480, 232362527, ( -1), 680418945, 453129161, ( -1), 918903300, 839617052, 868465949, ( -1), 138733485, 784520738, ( -1), ( -1), 545599951, 174987181, 889218942, 608283311, 737081800, ( -1), ( -1), ( -1), 514008391, ( -1), 4688665, 636898245, 912193615, ( -1), 244982285, 59169047, 873788916, 768514983, ( -1), ( -1), ( -1), 221455559, 529351290, 981937934, 751273466, 566656627, 776140823, ( -1), ( -1), ( -1), 445100637, 953918268, ( -1), 381938258, 765669769, 193039555, 371966626, ( -1), 380422464, 517567244, 379413781, 838988959, 216376058, 462535695, 2468059, ( -1), ( -1), ( -1), 988765597, ( -1), 318631691, 494289655, 84523357, 630963992, 688277810, ( -1), 688507554, 974268578, 793922009, 578448275, ( -1), ( -1), 735961270, 106884437, ( -1), 26522993, ( -1), ( -1), 939236086, 195202064, ( -1), 802441856, ( -1), 513017111, 970692280, ( -1), 924846499, ( -1), ( -1), 621559075, 926935798, 773730865, 338979582, 530142829, 420624974, 844114779, 267321373, ( -1), 172994746, 403464990, 632013688, 749994496, 754186800, 780658041, 314982894, 32775745, 865098830, ( -1), ( -1), 645413812, ( -1), ( -1), ( -1), 474806298, 284793294, 589970361, 743490949, 497731734, 557965271, ( -1), ( -1), 629088096, 226855430, 545860775, 983398404, 148443688, 596483481, 758854369, 60217399, 653966958, ( -1), 7034881, 638806448, ( -1), 740515575, ( -1), ( -1), 718775718, ( -1), ( -1), ( -1), ( -1), ( -1), 733482803, ( -1), 806793079, 319897842, 251759551, 196994859, ( -1), ( -1), 427905509, 532471736, 283895542, 712041752, 593380063, 933947804, 901881542, 816611440, 993655281, ( -1), ( -1), ( -1), ( -1), 291562129, 205948045, 60716453, 178187612, ( -1), 788835796, 465034877, ( -1), 714108605, 287274562, 668024896, 51124866, 813612422, 369546246, ( -1), 533741736, 169249016, 464292830, ( -1), ( -1), 580644665, 882358293, 363681148, ( -1), 641638278, 402920398, ( -1), 687486062, 286274350, ( -1), 542425779, 167192943, ( -1), 192628655, 827457051, 528613318, 150997036, ( -1), 55104924, ( -1), 236965271, 476468065, 245161541, ( -1), 215362857, 887066618, ( -1), 452730912, 260823026, 671681999, 437146023, 535413657, ( -1), 483043338, ( -1), 65564804, 265616566, 580885583, ( -1), 84950495, 778637911, 340335872, 341996535, 798648647, 307275416, 259123950, 523426818, ( -1), 138500183, ( -1), ( -1), 313445613, 945794666, 247634687, ( -1), 693010484, 903120165, 433448096, 504808275, ( -1), ( -1), 939522014, 841331683, 834530287, 372180069, 895010852, 751835887, ( -1), ( -1), 269893083, 774593399, ( -1), ( -1), 693982773, 103851432, 929349457, 674863764, 618698916, 80731743, 498349694, 445560072, 474352183, 623594150, 630750531, 382740826, 176001478, 188373044, ( -1), 257576717, 746944762, 664089351, 688798942, 633919823, ( -1), ( -1), ( -1), ( -1), 320874267, 749915212, 150075962, ( -1), 623455898, 311461541, ( -1), 109509168, ( -1), 887718560, 67433755, ( -1), 848617388, 672486174, 458184766, 842999409, ( -1), 311024327, ( -1), 982460151, ( -1), 83251436, 147624248, 617107638, 731933983, 593707222, 393557702, 727104554, ( -1), 804263427, 638475404, ( -1), 287200488, ( -1), 150415155, ( -1), 709399724, 925311945, 843626159, 692712300, 319308073, 706628690, 227497627, ( -1), 118130604, 673037418, 315029328, ( -1), 306913173, 157002504, 73315021, 797230178, 976144581, 492213920, 29326813, 294284544, ( -1), 609294317, ( -1), 187209357, ( -1), 942037781, 429083867, ( -1), 116571555, ( -1), 55283760, 847391376, 218588122, 682305506, 110522468, ( -1), 80976812, 687521611, ( -1), 817189133, 85834682, 700855071, ( -1), 462356391, ( -1), ( -1), 856678921, ( -1), 856608910, ( -1), 145777033, 330980644, 939783524, ( -1), ( -1), 177912900, 421020362, ( -1), 796501143, ( -1), ( -1), 405406231, 667369062, 305470670, 96381788, ( -1), 186188036, 24643054, 148444535, 321628948, 765075182, 748615743, ( -1), 699958635, 481188044, 84840403, 945918130, 70745892, 327551260, 583813444, ( -1), 656927077, 51581204, ( -1), 825438817, 550366306, ( -1), 5482305, ( -1), ( -1), 647582059, 375860579, 139552921, ( -1), 794613706, 133010599, 421377956, 438147472, ( -1), 74821934, 595215856, 969859036, 262264096, 264024733, ( -1), 825211213, 490556101, ( -1), ( -1), 657223805, 106456220, 103988280, ( -1), 184524345, ( -1), 158414141, 138242801, 815254432, ( -1), 829150211, 938107073, 253181255, ( -1), ( -1), ( -1), 173859046, 27922808, 802331569, 337187939, 373217040, 619372337, 246548391, 404815648, 744297695, 748850530, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 610309661, 437751553, 988645447, 978615976, 148489483, 943198722, ( -1), ( -1), 317246451, ( -1), 984038584, ( -1), 859369954, 264079827, ( -1), 337162964, ( -1), 55923516, 608990646, 549145227, 846306809, 611653065, ( -1), ( -1), 315553005, ( -1), 986515248, 321465325, 235698953, 46085429, 370286858, 587720602, 649060061, 135819438, 706704661, 663936187, 49547298, ( -1), 12226078, ( -1), 507403216, 684500285, ( -1), 138134828, ( -1), 971286367, 108867263, 973319173, 541025637, 402306341, 649371455, 228905948, ( -1), 135445533, 990749478, ( -1), 90466101, ( -1), 493676792, 804492487, 808808507, 249906151, 77463129, ( -1), 358510166, 605134212, ( -1), ( -1), ( -1), 524535943, ( -1), 421764465, 517562978, 440143173, ( -1), 335667973, 243662472, 142098842, ( -1), 365250461, 28269551, 914217599, ( -1), 973763429, 462719050, ( -1), ( -1), ( -1), 166827440, ( -1), 665454181, 962318287, 617359783, ( -1), 982363774, 368093345, ( -1), 591360183, 278046727, 660076485, ( -1), 114700288, ( -1), 230920224, ( -1), 477402081, 83316584, ( -1), ( -1), ( -1), 697492314, ( -1), ( -1), ( -1), ( -1), 892248783, 363929304, 623591788, 618607860, ( -1), 247495834, ( -1), 568479396, 289760432, 222645128, 831427858, 424642560, 387694574, 3987930, 121751455, ( -1), ( -1), 564269870, ( -1), 898665090, ( -1), 100329902, 296857025, 581244553, ( -1), 874118198, ( -1), 55675476, 883658846, 512074215, 46350608, 402459174, 733808743, 794036397, ( -1), 74830626, ( -1), ( -1), 316271261, 273444615, 606940849, 870741127, 335968970, 120730088, 453974570, 282625562, 768469444, 360990821, 512580336, 207722651, 429266014, ( -1), ( -1), 877220026, 709673269, ( -1), 946124799, 545429528, 626931872, 426533340, ( -1), 307118082, 931189335, ( -1), 83485424, ( -1), 274088424, 822640131, 851376692, 866055830, ( -1), 683808814, 206225453, 919494749, 909336383, 15558785, 307115456, 126021420, 549691464, 865795014, 787125848, 79903591, 412906559, 857637047, ( -1), ( -1), 62177674, 548952831, 297231180, 329560827, ( -1), 419545591, 84255372, 473439912, 31668364, 10306416, 797384530, 192125716, 389469837, 906942366, 819167016, 176497116, 537404472, ( -1), 346276359, 895443670, 761098097, 454969817, ( -1), 646540067, ( -1), ( -1), 686127493, 507639083, 717364399, ( -1), ( -1), ( -1), 868946682, 989415373, ( -1), 878291037, 262388148, 27970948, 866658431, 34215803, ( -1), 918638063, 961770935, 638075163, 662060830, 124739337, 595547500, 360211908, ( -1), ( -1), 698628643, 114922556, 879879124, ( -1), ( -1), ( -1), 552752297, 359916947, ( -1), ( -1), 875250599, ( -1), 867369414, 220016734, 146784594, 656071447, 308469102, ( -1), 571443445, 110060265, 5707691, 888997996, 218507852, 294546518, 302445433, ( -1), 456966296, ( -1), 277321679, 613133032, ( -1), 916596051, 775266920, 569123943, 770415378, 116490384, 125086714, 563513743, 183765312, ( -1), ( -1), 224580857, 189370959, 595430602, ( -1), 113187731, 215245971, 433070481, 784482744, 629079666, ( -1), ( -1), ( -1), ( -1), 271586960, 204182901, ( -1), ( -1), 583415707, 683507866, ( -1), 5307104, 64279982, 803282636, 620967169, 804321256, 5541543, 276475058, ( -1), 214535211, ( -1), 19794757, ( -1), ( -1), 86961715, ( -1), ( -1), 215485163, ( -1), 268409206, 571105953, 394586450, ( -1), 575986319, ( -1), 149124764, 825048608, 181293642, ( -1), 722490443, 363838912, 231171182, 220426638, 50293824, 792302323, 926070922, 927197235, 301155779, 757729442, 858431307, ( -1), 559706002, 612965669, ( -1), 518500253, 446582997, 248846438, 272904611, ( -1), ( -1), 782493678, 190297211, 239346538, 189150321, 633438329, 91245993, ( -1), 680929267, 607540564, 20820064, 627150071, 477206459, ( -1), 481773519, ( -1), ( -1), 408071162, 581708769, ( -1), 332421909, 292704115, 453220448, ( -1), 412335343, ( -1), 720512663, 994783462, ( -1), 689797152, 762165062, 549655010, 575765428, 525422261, ( -1), 692746806, 915954740, 646373045, 302153532, 879215026, ( -1), 842960151, 271097516, 813179623, 872657376, 11801729, 833610303, 38629049, 332099367, 889687475, 644881175, 246226649, 134181366, 639722088, 446650710, 4572265, 242629323, ( -1), 700023405, 782921990, ( -1), 971366097, 530218597, ( -1), 183744590, 970415186, ( -1), 217462032, 135130873, ( -1), 719088804, 659011698, 302675952, 180419445, 448869262, 459231492, 300062899, ( -1), 629226777, ( -1), 589295495, 560365645, 245860650, ( -1), 488738730, 677950754, ( -1), 304861584, 908666026, ( -1), 738173420, ( -1), 855705941, 679749080, 406317343, 558254200, 619336517, 491222454, 450052080, 128022796, ( -1), 311460071, 412302949, 75511776, 502256944, ( -1), 891448112, 214403096, 704117866, 414731930, ( -1), ( -1), 601162618, 468743827, 612809339, ( -1), 565201349, 960473333, ( -1), ( -1), 841134190, 474037427, 406966509, ( -1), 99136678, 956931820, 454184206, 957379489, 562849953, 440540780, 590569409, 523411773, 254321464, ( -1), ( -1), 250010012, 515164102, 631036860, 398403978, 36214304, ( -1), 860114421, 997273296, 520372140, 310682031, 288722840, 209679807, 639415545, 477087614, 366386540, 726537251, 976256793, 720639573, 76783691, ( -1), 713249850, ( -1), 172832166, 924035685, ( -1), 676013683, 478098537, 529964082, 87615630, 921468770, ( -1), ( -1), ( -1), 345302116, 635865352, ( -1), 634343086, 561865398, 442266381, 12421117, 8231390, 758100469, 890769810, 627516012, ( -1), 998347953, 995457570, 233899776, 488670483, 540492519, ( -1), 460850951, 734884186, ( -1), ( -1), 335112447, 732549038, ( -1), 1140653, ( -1), 773462559, 952411008, 43526770, 587838408, 285871295, ( -1), 236239604, 476955566, 356615949, ( -1), ( -1), ( -1), 570404141, ( -1), 314808739, ( -1), 659252716, 503083427, 112669187, 612115156, ( -1), ( -1), 405231095, 338374466, 93496225, 401146824, 900583071, 685767554, 752592059, 429707624, ( -1), 960970676, ( -1), 839377384, 385813626, ( -1), ( -1), ( -1), 491018727, 409671932, 929188898, 177227250, 524686223, 22894608, 306811437, ( -1), 291321202, ( -1), ( -1), 532985558, ( -1), 416167007, 620183836, 884188670, 468950923, ( -1), 802405520, ( -1), 759609725, 593180107, 706955552, 530716319, 463475251, 609252879, ( -1), 138300154, ( -1), 649204883, ( -1), 186847538, 545594546, 482088119, ( -1), 53061918, ( -1), 240976517, ( -1), 554534173, 99188368, 27397184, ( -1), 23729606, ( -1), 863072038, 745140677, 230070976, 828795697, ( -1), 225106440, 252666310, 232136460, 230343799, 712876894, 556594718, ( -1), ( -1), ( -1), 855532444, 801753862, 99674644, 186201791, 276651350, 61044776, 180290626, 639424, 254354233, 725957341, 717825415, 365390348, 104397223, 946673140, 263648569, ( -1), 762402371, 317731890, ( -1), 185683628, 897771661, 584402255, ( -1), 454869902, 325000686, 95520386, 357551064, 252037460, ( -1), ( -1), 644222180, ( -1), 544381397, 815757225, ( -1), 34991066, 925768089, ( -1), 397899963, 941781645, ( -1), 406334596, 405372459, ( -1), ( -1), ( -1), 390778522, ( -1), 512856040, 497692822, ( -1), ( -1), 460703095, 872279110, ( -1), 919827848, ( -1), ( -1), ( -1), 465569530, 518537778, 56075130, 280695047, 534958425, 754025084, 716546485, 982966357, ( -1), 775022368, 360408460, ( -1), ( -1), ( -1), ( -1), 781556307, 978054427, 665403367, ( -1), 114678873, ( -1), ( -1), 29530526, 661720764, ( -1), 55635985, 225475274, 877701578, ( -1), ( -1), ( -1), ( -1), 582888796, ( -1), 126211029, 31469375, 875907501, 483776472, 230684028, 416888907, 445600566, ( -1), 158710470, 864201695, ( -1), 480751285, 117174196, 20258344, ( -1), 494831844, 241468418, 38780284, 36545250, ( -1), 87378988, ( -1), 978153771, 461032488, 726448963, 266287652, ( -1), 394619966, 956059900, ( -1), 895908690, 402743360, ( -1), 514055802, 728657656, 719856224, 408778399, ( -1), 958187799, 561487057, 886427029, 929024795, 28898080, 718478982, 511675186, ( -1), 956891139, ( -1), 592450001, 336096500, 725785697, ( -1), 84946699, 426581598, 505152585, ( -1), ( -1), 963894978, 488104468, 148296319, 589111089, 657169472, ( -1), 33744714, 805436505, 746180131, 929041622, 552878209, ( -1), ( -1), 572271009, 378539294, 443251385, 336477999, 243724567, 93547617, ( -1), ( -1), 137287435, 749572893, ( -1), 473772163, 813089628, 511919414, ( -1), 432440803, 199758187, 796168743, 832202469, ( -1), 426521534, ( -1), 829286227, 311764167, 683272583, 521072906, 810828827, 319913813, 77454259, 92078311, 250684676, 78482364, ( -1), 256570960, ( -1), 263376122, ( -1), 178881351, 418405950, ( -1), 228102045, 132654227, 699979385, 104224130, ( -1), 18696729, 291317654, ( -1), ( -1), 55198059, ( -1), ( -1), 413054144, 664629761, ( -1), 289140637, 913979658, 788220773, 864102193, ( -1), 833311753, 944670715, 408903983, 293615945, 997356522, 224831004, 505658151, 388777169, 345564289, 500222960, 62417566, 813960533, 197188674, 480934333, 262804567, 32006768, 104485753, 779641224, 737698857, 253280614, ( -1), 261599272, 10318214, 450386765, 101705561, ( -1), ( -1), 971900232, ( -1), 924102967, 473709721, ( -1), 735478932, ( -1), 697661143, ( -1), 867105463, ( -1), 245963379, 470290392, ( -1), 36505690, 159867620, 400404509, 42625794, 722267893, 710042196, 736354135, ( -1), 686480745, 197318085, 979312567, 716421130, 89035, 978961085, 925291383, 19078064, 656936462, 993679542, 263678525, 713431445, ( -1), 883619727, 765285990, 200894245, 726831465, ( -1), 914668643, ( -1), 223591083, 862587089, ( -1), 64308220, 734779419, ( -1), 215924033, 756821477, 746444797, ( -1), 19143861, 211904550, ( -1), 282638827, 638461971, 872560751, 790333456, ( -1), 799017761, 797280871, 794644521, 447871199, 109494449, ( -1), 19748904, ( -1), ( -1), 414684562, 239235558, 542475768, ( -1), 828507733, ( -1), 948580639, 512650444, 51753806, 936140632, 756071535, 285112074, ( -1), 137464286, 718157555, 269307320, ( -1), 44998908, 896783028, 156708206, 330038911, ( -1), 435467002, ( -1), 767707226, 890535000, 675945353, ( -1), 302183675, 904570407, 166608698, 115286694, ( -1), 112870898, 25993534, ( -1), ( -1), ( -1), ( -1), 106575580, 920844190, 102985699, 843576962, 769167214, 428381868, ( -1), 581334563, 60857639, 117018394, 378496482, 421620542, 223034354, 838630780, ( -1), 704289428, ( -1), 810106055, 693822716, 707452945, ( -1), ( -1), ( -1), ( -1), 903392144, ( -1), 787058100, ( -1), 78273506, 958973659, 290735357, 22969408, ( -1), 776622901, ( -1), 255035779, 975139857, 809983297, ( -1), 30743843, 275461, 802048457, 711167746, 961783499, 6253526, 567492099, ( -1), ( -1), ( -1), 803445445, 437933033, ( -1), ( -1), ( -1), ( -1), 3131357, 777096145, 696895626, ( -1), ( -1), ( -1), 58059119, 803263617, ( -1), ( -1), 381051608, 484319431, 33713782, 677348577, 214164775, 88313253, 754284989, ( -1), 641737724, ( -1), ( -1), ( -1), 480399834, ( -1), 282564432, ( -1), 452750084, 91864699, 568037304, 461064096, 579196291, ( -1), 962871683, 486081646, 426216156, 618126377, 884841535, 215043328, ( -1), 831163646, 955791078, ( -1), ( -1), 623765649, ( -1), 219988000, 847618542, 318915948, 454188152, 864856853, 941570028, 74045336, 819692988, ( -1), 189902226, 490838584, 541910834, 29553755, 988477931, 390377478, 402820826, ( -1), 717728412, 318120470, 758048402, 618086541, 253123732, 755877508, 594041550, ( -1), ( -1), 543827176, 417721502, 742335190, 467655788, 245711939, 129193921, 671486944, ( -1), ( -1), 577767970, 545635805, 676391515, 769052156, 889193304, 986370862, 704670208, 830641073, 111651117, 16443478, 840980561, 642107082, 161549639, 668379921, 646195980, 77013867, ( -1), 544349231, 420304942, 447598180, 344577787, ( -1), 648528323, 309679710, ( -1), 590840040, 399538720, 635934797, ( -1), ( -1), 467306247, ( -1), ( -1), ( -1), 940126638, 344882309, ( -1), 146961806, 336390606, 15670594, 891590582, 320328197, ( -1), 276372776, 134068233, ( -1), ( -1), 194442419, ( -1), ( -1), 46483234, ( -1), 633819644, 736942696, 382688648, ( -1), ( -1), 681156176, 749687269, 5968671, ( -1), ( -1), 39268319, 678426100, 586411954, ( -1), 411458848, ( -1), 723878596, 279953077, 336629344, 835165324, 179834565, 385837319, 844580813, 397458953, 629200226, 788715139, 10848533, 902392026, ( -1), 111242705, 608268348, 97132236, ( -1), 603215592, ( -1), 150896018, 541891697, 808532814, ( -1), 268756405, ( -1), 566700813, 40113144, 547069793, 101465505, ( -1), 503987413, 421353634, 31000413, 467751033, 59804392, 878454525, ( -1), 328986855, 555086579, 622885408, ( -1), 777372761, ( -1), 802323177, 300274870, 405504820, ( -1), 795398016, 988499608, 416929812, 694811621, 153173176, ( -1), 187812375, 925341539, 765078155, 373399337, 678504639, 501026766, 153113718, 678303926, 340352693, 110721851, ( -1), 690560396, 86652834, 634830660, 954423336, ( -1), ( -1), 74311009, 191818642, ( -1), ( -1), 122819894, 965211621, 434017091, 961411243, 622729857, ( -1), 531722011, ( -1), 559700410, ( -1), 362986664, 901929462, 926958142, 346850354, ( -1), 784800694, ( -1), 57389583, 898582125, 295929033, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 368116940, ( -1), 34149997, 424577294, ( -1), 839962138, ( -1), 839550226, 506193402, 30392416, 504784517, ( -1), 736888931, 653735335, 211755831, ( -1), 619363772, 646857021, ( -1), 274214848, 851814648, ( -1), ( -1), ( -1), 582274440, 744829882, 872474123, 780864604, 449971872, 122671853, 758006832, 709110027, 769017133, ( -1), 190682838, ( -1), ( -1), ( -1), 27801625, ( -1), 386944346, ( -1), ( -1), 742944379, 917212012, ( -1), 647911812, 549361353, 665053342, 854131281, 838369910, 68908659, 251424292, 827584346, ( -1), ( -1), 222202856, ( -1), 924880091, 866397559, 643834987, 587133385, 125398247, 952980635, 522409404, 132820530, 524932747, 488620864, 309710784, ( -1), 528740976, 564307137, 141074572, 507780420, ( -1), 12458827, 161732136, 382046460, 859634317, ( -1), ( -1), 606574165, ( -1), 372854591, 371593619, ( -1), ( -1), 360388236, ( -1), 567758002, ( -1), 199476899, 836601954, 385257878, ( -1), 779530861, ( -1), 386390589, 769803074, 977775758, 936638813, 802649774, 220375397, 49140008, 785556105, ( -1), 914642057, 404223888, 730884312, 240712093, ( -1), 192375381, 393239027, 163899242, 683873823, 948538785, 295189465, 951038455, 981859186, 312991170, 897202773, 357458061, 91551877, 702082392, ( -1), 463315848, ( -1), 330331229, ( -1), ( -1), 414113346, ( -1), 115310459, 512024387, 602119893, 680979694, 131214595, 616457064, ( -1), 212681406, 309899843, ( -1), ( -1), 405028735, ( -1), 337712516, 478384003, ( -1), 450684162, 896345784, 618290682, ( -1), 134741707, 305731437, 658158816, ( -1), 431923499, ( -1), ( -1), 500955448, 82935772, ( -1), 10900244, ( -1), 137952675, 270993548, 323201821, 62984121, 369379188, ( -1), ( -1), 257908447, ( -1), 910113059, 11751730, 301842112, 957703343, ( -1), ( -1), 777204421, 841742016, ( -1), 121242579, 531291281, 708254060, 199494339, 781047794, 823466105, 575288727, 340368948, ( -1), 668422739, ( -1), 912038042, 452829535, ( -1), ( -1), 566899725, 361629343, 574804921, 338076394, ( -1), 289050720, ( -1), 933781716, 634378361, 973485092, 890435101, ( -1), 854979471, 742984457, 702860046, 87638955, 981894969, 644792954, 110304757, 940748628, 69402910, 340493881, 576596168, 340560270, ( -1), 300485718, 953602077, ( -1), ( -1), 277536150, 334644253, 222016513, 608626665, 152605129, ( -1), 963416305, 344593179, 613076111, ( -1), 776480363, 672312554, 740538383, 68699977, 362735625, 445091130, 575031085, ( -1), 522190316, 995023291, 819028956, ( -1), 335637478, 288897641, 650172938, 593010900, 774269471, 831547259, 335019333, ( -1), 521582193, 166418346, 618327153, ( -1), ( -1), 63365315, ( -1), 516008815, ( -1), 208658177, 819733048, 682684039, 539841283, 478418331, ( -1), 776777732, ( -1), ( -1), 307010260, 20600826, 679008314, 756243257, 557663719, 134073396, 79891584, 432753264, 530054425, 367926825, ( -1), 708033716, 256855081, ( -1), 508399388, ( -1), 466248189, 536877412, 469420098, ( -1), 516179897, ( -1), 973242060, ( -1), 178256612, ( -1), ( -1), 362150432, 368577552, 557501389, 623152201, 415079321, ( -1), 241701066, 522874893, 331356147, ( -1), 995714263, ( -1), ( -1), ( -1), 264378772, 184916754, 416645432, 5514278, 377074524, 115497460, 767624129, 232492734, ( -1), ( -1), 907303399, 689708934, ( -1), 715923480, 63275757, ( -1), 219007742, 754047715, 433375047, 134375893, 619074537, 895458460, 954902835, ( -1), 569024737, 775508539, 70513132, 25581259, ( -1), 260155399, 274319415, 118845978, 3452597, 348434267, 870682363, ( -1), ( -1), 593423991, ( -1), 692852794, 112502220, 765037704, 7384247, 15566531, 143608135, ( -1), ( -1), 529267806, 525408383, 235119545, ( -1), ( -1), ( -1), 293058273, 646740265, ( -1), ( -1), 526378535, 158067907, 928427599, 639092103, 845850280, 470005921, 174969680, 784240022, 607906812, 413702004, 82729784, 878238086, 759890346, 35115319, 946223184, 398682508, 517812886, ( -1), 83699819, ( -1), 986338146, 676790991, 345948671, 817460756, 956564879, 87124629, 496307441, 65710233, 211641465, 508436412, ( -1), ( -1), ( -1), 935135006, ( -1), 639688032, 730465333, 28612276, ( -1), 807145335, 724994527, 847903760, ( -1), ( -1), 791588847, 107902711, ( -1), 398691918, ( -1), ( -1), 272751275, 591141747, 421709264, ( -1), 499820018, ( -1), 479694283, ( -1), ( -1), 97426793, ( -1), 683166426, 902163665, ( -1), 582051546, 522573469, ( -1), ( -1), ( -1), ( -1), 253541687, ( -1), 102946088, ( -1), 122407466, 766028736, 589279652, 162952430, ( -1), 243043069, ( -1), 9815845, 290264705, ( -1), ( -1), 485749774, 834009963, 417092228, ( -1), 900475054, 694018107, 283017861, 491219571, 368096537, ( -1), 623213949, ( -1), ( -1), ( -1), ( -1), ( -1), 880281059, 501931161, 932747547, 442743796, 857621700, ( -1), 387704660, 610292068, ( -1), 49223296, 54166479, 660929766, 509869953, 206242869, ( -1), ( -1), 921959995, 812618294, ( -1), 143933907, 17271713, 389215463, 911095590, 332633752, ( -1), 362522344, 514875425, 322944339, ( -1), 711312188, 332677761, 103979837, ( -1), 28543875, 285199625, 70787014, 746330935, 411799885, ( -1), ( -1), ( -1), 141542780, 381730257, 626192693, ( -1), 346228635, 410932838, ( -1), ( -1), ( -1), ( -1), 357820769, ( -1), ( -1), 769232244, 241946344, ( -1), 235284838, 661283196, ( -1), 671585516, ( -1), ( -1), ( -1), ( -1), 366003530, ( -1), 903934498, ( -1), ( -1), ( -1), 542430372, ( -1), 131095498, ( -1), 619763452, 496059300, ( -1), 230948945, 622328665, 975309418, 223148218, 643409153, 104014014, 903416285, 205599299, 819032872, ( -1), 798689505, ( -1), ( -1), 100054609, 359682398, 868217905, 937475050, 643190846, ( -1), 547871420, ( -1), 451236903, 728289103, 90197919, 344592586, 989587302, ( -1), 969191523, 983774835, ( -1), 738586339, 113003683, 389594973, ( -1), 700512658, 952870639, 796071406, ( -1), 765218831, ( -1), 852560940, 590405672, 459066159, 326101688, ( -1), 687943895, ( -1), 403228267, 987060781, 845214412, ( -1), ( -1), ( -1), 452686934, 57591394, 328902897, 736280592, 155814192, ( -1), ( -1), 339465048, ( -1), ( -1), 478794900, ( -1), 124333054, ( -1), ( -1), ( -1), ( -1), 910999394, ( -1), 471690900, 996709590, 898721535, ( -1), 182910678, ( -1), 809410481, 250645793, ( -1), ( -1), ( -1), 993286552, ( -1), 126393786, 801703280, 177852035, 937212341, 507640931, 748664482, 853585707, 613564757, 292575178, ( -1), 246008833, ( -1), ( -1), 283139088, 789074741, 693358722, ( -1), ( -1), 157231154, 915096494, 285016510, ( -1), 579168723, ( -1), 956395303, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 229782492, 407561171, 895316785, ( -1), ( -1), 369215753, 431310951, ( -1), 495221400, ( -1), 337172083, 284235553, 549265816, 497476649, ( -1), 164679649, 128833159, 911427666, 235397201, 153206657, ( -1), ( -1), ( -1), 30390570, ( -1), 913144780, 165446808, 286973513, ( -1), 825737601, 490862703, ( -1), ( -1), ( -1), 916925266, 221260476, ( -1), 399175678, ( -1), 715380556, 431529015, ( -1), 465091577, ( -1), ( -1), 31231167, 810439916, 948282961, ( -1), 56215144, ( -1), 34761503, 871425042, ( -1), 537527143, 772739273, ( -1), 211233440, 703845568, 700254284, 700790884, 473124886, 196958000, ( -1), 127971064, ( -1), 185482903, ( -1), 932081087, 824702528, ( -1), 468965016, 821266021, ( -1), 8292185, 214428676, 987088414, 801422292, 349028079, 350774146, 269725849, ( -1), 830933783, 981391237, 991936371, 889303881, ( -1), 437082661, 566030094, 44463818, ( -1), ( -1), 446201697, ( -1), ( -1), ( -1), ( -1), 555652757, 573054460, 242469905, 107210705, 465538756, 598408223, 664847276, 247996377, ( -1), 109713889, ( -1), ( -1), 136259040, 31393948, ( -1), 174628150, 4484718, 871953885, 61311261, 601868259, ( -1), ( -1), 689336427, ( -1), 131010274, 650556020, 877778199, 78107219, 893924629, ( -1), 42534178, 7887697, 15960064, 578930259, 98912474, 375419136, 622340499, ( -1), 168055078, 279336569, ( -1), 153734504, ( -1), 763030775, 350876721, 442323924, 880131291, 55573622, 529527277, 189973649, 208132948, 841300705, ( -1), 930812807, 190031920, 960927091, 67820981, 976902055, 250940884, 344468386, ( -1), 773511294, ( -1), ( -1), 633229090, 283071751, 993027419, 925793698, 500787228, 346855839, ( -1), 522035374, ( -1), 137036583, ( -1), 204633455, 958251067, ( -1), 955762786, 13726454, ( -1), 77696826, 540635069, ( -1), 358958489, ( -1), 269769628, 242035881, ( -1), 985989279, 655497793, 223308121, 296723334, 868656156, 571617142, ( -1), 288977, 183754885, ( -1), 227068742, 155342477, 913556084, 15007895, 586991826, 800788845, 469431889, 962456890, 281365414, ( -1), 313253605, 624224498, ( -1), ( -1), 685095036, 78572267, 896600790, 463563283, 720776779, 766532037, 725741117, 684586709, ( -1), ( -1), 141807796, 907100947, ( -1), ( -1), ( -1), 416263962, 222739462, ( -1), ( -1), 890731336, 225255804, 145476209, 754151426, ( -1), 310026981, ( -1), 146215318, 712923055, 837958437, 264217700, ( -1), 47010681, ( -1), 829413219, ( -1), 248647485, ( -1), 684037657, 861300480, 51000751, 74855520, ( -1), 157410811, ( -1), 966411794, ( -1), 555422393, 419701421, 716449186, 9628054, ( -1), 268654590, ( -1), 334273186, 338461114, 234605302, 159450985, ( -1), ( -1), 465798499, 999744431, 117718591, 843700106, 39293959, ( -1), 116204918, 590634861, 253777103, 576365774, 77347293, 397975485, 571211193, 249745207, 820265973, 230256631, ( -1), 982756582, 551759646, 888901046, ( -1), ( -1), 73370612, 553898262, ( -1), 61233828, 746968386, 386118172, 556924870, 65017903, ( -1), 597596721, ( -1), 130366615, 722113330, ( -1), 275910320, ( -1), ( -1), 239852182, 739541058, 953801563, 527792014, 745536726, ( -1), ( -1), 341110802, ( -1), 275739340, 910249508, 699779979, 160077892, 16675919, ( -1), 485679418, 9574971, 579846104, ( -1), 104824207, 835372709, ( -1), ( -1), 158541663, 465390692, 638075005, 767191334, 660391883, 361114809, ( -1), 766746141, 582265887, 647715674, ( -1), 442984220, ( -1), 23531671, 142332190, ( -1), 995707569, 601263928, 523802297, ( -1), 68252902, 642234864, 525283716, 939471874, ( -1), 884799332, ( -1), ( -1), 319839700, ( -1), ( -1), 47286468, 63073079, 964242128, 714925547, ( -1), 336143938, 874952326, 654844296, 861769500, ( -1), ( -1), 520669086, ( -1), ( -1), 300542845, ( -1), 1001692, ( -1), 339845118, ( -1), 255050403, 991951134, 809194237, 149938420, ( -1), 880821891, ( -1), 674082415, 464048542, 167011659, ( -1), 709519312, 17305303, 799348629, 461367911, 272501961, 606433299, 715360494, 926568504, 114852108, 99040553, 513203861, 254249992, 976997089, ( -1), 919070527, ( -1), 841100591, 275014106, 460386138, ( -1), ( -1), 446049777, 212938826, 118091086, 141780255, 356440008, 814792332, 589032509, 701715098, 745225677, ( -1), ( -1), 588907617, 901084880, 461911374, 592596382, 800879612, ( -1), ( -1), 433801811, 46065979, 331650939, 729879445, 470112568, ( -1), ( -1), 85934820, 773541644, 974297743, 85894886, ( -1), 359397223, 760387117, 233767999, ( -1), 121205412, 78158875, 78352651, ( -1), ( -1), 262513554, 467787995, 150825789, 285642350, 472812563, 986269368, 903292737, 166366163, 684056595, 88222439, ( -1), 689599340, 910844393, 719246795, 718223678, 489400898, 813750596, 221299, ( -1), 875021964, 405506043, 5141879, 390431289, 113616669, 84078075, 566466526, 568780776, ( -1), 696667943, 417073448, ( -1), 410624641, 268636625, ( -1), 775145455, ( -1), ( -1), 701260790, 826911675, 484225598, ( -1), 332096164, 385798059, 463676067, 204412973, ( -1), 898875329, ( -1), ( -1), ( -1), 709725631, 730882993, 245311123, 158265603, 152152854, 650873382, ( -1), ( -1), 466535576, 127470130, 611021533, ( -1), 985844058, ( -1), 960922287, 656291188, 964678714, 883725442, 938709281, 403577991, 769015259, 798189012, 220790775, ( -1), ( -1), 847469461, 958611119, 858488655, 205582786, 632996449, ( -1), 631178432, ( -1), 199017396, ( -1), ( -1), 259769644, 485864092, ( -1), ( -1), 517588430, 444049993, ( -1), 63832416, 619551699, 337221821, 496523429, 371328414, 317195515, ( -1), 241781400, 21142975, ( -1), 86159114, 672710177, 606600614, ( -1), 53386150, 552291929, 375054482, ( -1), 785385210, ( -1), 445117260, 470757224, 802928609, ( -1), 446903007, 578915217, ( -1), 249925430, 397927539, 742827168, 657977847, 753098135, 250062149, 593447907, 771857119, 927553053, 132615787, ( -1), 420762986, ( -1), ( -1), 28940888, 722269360, 362711995, ( -1), ( -1), 728444007, ( -1), 425854336, ( -1), 701567347, 568495105, 236387049, 226170531, 976627117, 245192266, 893946509, ( -1), 942882916, ( -1), ( -1), ( -1), ( -1), ( -1), 372142319, ( -1), 49809650, 279530411, 95732432, 539262113, 556309703, 902714411, 246585457, ( -1), ( -1), 389783243, 694869647, ( -1), 41636791, 509047630, 797686519, 342287589, 825419845, 845590255, ( -1), 762272652, ( -1), 148704640, 530122782, 772350438, 395436339, 519908544, 648369507, 914574942, 860384471, 879596600, ( -1), ( -1), 685738545, ( -1), ( -1), ( -1), ( -1), ( -1), 627274740, 682204007, ( -1), 272526279, 111037702, 711280082, ( -1), ( -1), ( -1), 163757593, ( -1), 764128213, ( -1), 337957710, 735734126, ( -1), 211681986, 101873622, ( -1), ( -1), 549047858, 367033868, 567487565, ( -1), 205518315, 632557621, ( -1), 805878051, ( -1), ( -1), 336442790, ( -1), ( -1), 632695466, 603443422, 23341370, 53520266, 679601437, 515527555, 494516344, 598444334, 241568091, 924955769, 441502540, 267064863, 339129449, ( -1), 299204964, 46739483, 61372587, 560940105, 6662414, 711156769, 486472644, 217196312, 582666441, 763301492, 120913993, ( -1), 601290584, 738586359, 67126285, 605080882, ( -1), 153872166, ( -1), ( -1), ( -1), 715049949, 288715260, 940689295, 980208417, 124235272, 422372121, 307201456, ( -1), 336536440, 215417870, 742679896, 121038732, ( -1), ( -1), 447885731, 473791081, 456651284, 461491700, ( -1), 428402833, 839092759, 181435240, 727601586, 383846046, ( -1), ( -1), 923931756, 644341061, 211486476, 237936002, 489209495, 325261086, 417143450, ( -1), ( -1), 600591339, 664327952, 363706441, 13526632, 706332269, 70731655, 974789283, 15267642, ( -1), 158500674, 222081447, ( -1), 238326467, ( -1), ( -1), 611858764, 520153615, 583217368, ( -1), ( -1), 303714252, 223771790, 328184405, 474701658, 131754001, ( -1), 996932839, 694383605, 320105510, 558689842, 21509162, 756438747, 845657697, 309971605, ( -1), ( -1), 187643835, ( -1), 978930678, ( -1), 85154821, 176241645, ( -1), 628456452, ( -1), ( -1), 79044635, 408753551, 216867706, 980496873, 828219133, ( -1), 243054765, 458946670, ( -1), 180131989, 546233065, 443096270, ( -1), 953716982, 34001236, 311266632, 173598806, 785984650, 158284675, 121083892, 188280931, 392908194, 239319036, 148317795, 486809752, ( -1), 669776194, 519474125, 119405977, ( -1), 626115975, 585620154, 947673457, ( -1), 776661207, 38995122, 476436922, 94715468, 387237729, ( -1), 172167089, 107520513, 683450765, ( -1), 13634912, 796026027, 792165422, 489103359, 796600457, ( -1), 804842830, 894482821, ( -1), ( -1), 566354742, 996414633, 272690370, 253793439, 53790263, 270810335, 964692679, ( -1), 200251125, ( -1), 739905858, 455586127, 463116090, 344952127, ( -1), ( -1), 887571357, 994806255, ( -1), 21170289, 38391499, ( -1), 469833865, 181910500, 381600944, ( -1), 86363342, 205833717, 857240419, ( -1), ( -1), 393210090, ( -1), 437485258, ( -1), 564797366, ( -1), 753975139, ( -1), 878099453, 202844369, 543649373, 236055327, 124327057, 289150279, 705586893, 599764396, 235116714, ( -1), ( -1), 565551945, ( -1), 41821176, 919757258, ( -1), 25872056, ( -1), 278071382, 183573116, ( -1), ( -1), ( -1), 916948368, ( -1), ( -1), 531390413, ( -1), ( -1), 168895349, ( -1), 733908511, 696223383, 748585417, 402403959, 662815314, 817244738, ( -1), 867874275, ( -1), 30733793, ( -1), 499845276, 748669252, 986905781, 387930402, 927269780, ( -1), 805462355, 328425987, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 497366688, 523413560, 810115492, 248410036, 453456145, 262649219, 644096151, 43563806, 778265162, 674091272, 713412555, ( -1), ( -1), 901454070, 375647481, 791793561, 781679239, ( -1), 261639192, ( -1), 589256173, 958326113, ( -1), 323965761, 963788232, ( -1), 687069458, ( -1), ( -1), 682715343, ( -1), ( -1), 446409324, ( -1), ( -1), 762690625, 692097869, 770245063, ( -1), ( -1), 374485546, 809829452, 551034844, 153999596, 777137577, 19879119, 728645736, 737168409, 509745959, 80611352, 827026904, 921297063, ( -1), ( -1), 942539061, 993895871, 554756488, 376825975, ( -1), 503919758, 124410570, ( -1), 869299787, 417315975, 153961061, ( -1), ( -1), 890773778, ( -1), 733454232, 607569086, 591808148, 225622186, 589389615, 147017636, ( -1), ( -1), 612320864, 975907536, ( -1), ( -1), ( -1), 460465690, 511110269, 660174426, 778467361, ( -1), ( -1), 318815163, ( -1), 787084476, ( -1), 562306394, 807534501, 254844645, 842610787, 311617721, ( -1), ( -1), 406484522, ( -1), 981893454, ( -1), 986294990, 927073884, ( -1), ( -1), 139496491, 18005729, 574605679, 327371680, 182124779, 740085239, ( -1), 658455443, 628575670, 974240434, 469714574, 323943106, ( -1), 310733381, 502520905, 229792753, 56777385, 719194227, 459815925, 426454763, ( -1), 855540725, 421252549, 37633780, ( -1), ( -1), 303934889, 534286219, 130547470, 922618308, 343963062, 961236195, 370617007, 98108103, 454785097, 428726155, 145921372, ( -1), 587829284, 604612257, 543888615, 394421127, ( -1), 288600061, ( -1), 781106616, 414047906, 587653833, 853775667, 777115974, 756031995, 929952839, ( -1), ( -1), 905108761, ( -1), 914157251, ( -1), ( -1), 483614254, ( -1), ( -1), ( -1), 998828570, 301650106, ( -1), 975533022, ( -1), 623660551, 316280062, 485054729, ( -1), 328438298, 875255330, 325612561, 728990299, 327682617, 375602407, 232934840, 430161577, 516679366, ( -1), 732813981, ( -1), 369613149, 441099010, 582427234, 682414558, ( -1), 427774524, 170818488, ( -1), 864383838, 581977223, 725931229, ( -1), 441677439, ( -1), 719819169, ( -1), 310497952, 366167359, ( -1), 429587093, 375506000, ( -1), 717897692, 357045618, 663575303, ( -1), 396487034, ( -1), 395069284, 286277879, 873754650, ( -1), ( -1), 613067117, 745742682, 867136210, ( -1), 440218097, 713289359, 972903286, 716692788, 336143581, 825838857, 732914969, 304930291, ( -1), 970555260, 171811317, 620718750, 618459274, 382831351, 106370556, ( -1), 484809623, ( -1), 23552855, ( -1), ( -1), 299541059, 747879125, ( -1), ( -1), 995059233, ( -1), 825492539, 901021505, 657221798, 503477840, 543375307, 264508307, 516659518, ( -1), 844821896, ( -1), ( -1), ( -1), ( -1), 322469790, 343951914, 467734342, 841014064, ( -1), ( -1), 81523181, ( -1), 983851063, 982998844, ( -1), 287365118, ( -1), 843487323, 828550892, ( -1), 700874155, 532257586, 930344065, 834109709, 493184445, ( -1), 318347964, 716894317, 820890886, 365902651, 716299734, 755698805, 738835522, 391210650, 320430532, 306346802, 718352761, ( -1), ( -1), 754696133, 772426216, ( -1), 611911871, 648208389, 329856921, 438303168, 781217504, 786864487, 71525628, ( -1), 77808913, 638280819, 572707649, 866289832, 933244510, ( -1), 721432058, ( -1), ( -1), 840159673, ( -1), 451137687, ( -1), 805795924, 359743205, ( -1), 728397852, 904470689, 400189470, 969298351, 934173191, 610873655, ( -1), ( -1), 973833065, 820614492, 987289809, 134306003, ( -1), 867777456, ( -1), 524390647, 320355996, 307676807, 597270381, ( -1), ( -1), 102928615, ( -1), 763244451, ( -1), 299953613, ( -1), 818186161, 75913005, 378571992, 395142167, 174700346, 928562321, 797605932, ( -1), 841170166, 463592713, 636294064, ( -1), 346352272, 649058334, ( -1), ( -1), 101965407, 637591651, 214887140, 692456972, ( -1), ( -1), 248974359, 763887195, 551104502, 585115884, ( -1), ( -1), ( -1), 898097062, ( -1), ( -1), 495010635, ( -1), 194511203, 699553036, 944773498, ( -1), ( -1), 580960946, ( -1), 537059382, ( -1), ( -1), 678540200, 695679309, 879444100, ( -1), 966168458, 423909026, ( -1), 551310881, 346153402, 409074608, 947254889, ( -1), 440575965, 489124400, 382101948, ( -1), 389218971, 860268904, 600222159, 528383868, 889867192, 624414364, ( -1), 90189281, 514317450, 524338926, ( -1), 519557117, 416524122, 282768849, 418075472, ( -1), 173412072, 474665132, 947319806, 69176401, 929433816, ( -1), 102829759, 652729083, ( -1), 805363012, 920396178, 205531728, ( -1), 581128878, ( -1), 114615028, 243471517, 179469851, 341586908, ( -1), ( -1), ( -1), 480635471, ( -1), 432137176, ( -1), ( -1), 372788409, 751749773, 46843494, 747726906, 201984968, 666813551, ( -1), ( -1), 767113932, 13255036, 534208460, ( -1), ( -1), 420764403, 535879678, 29256746, 717132743, 940662817, ( -1), ( -1), 91262120, 406436736, ( -1), ( -1), ( -1), 492943983, 760321537, 599468704, 692875525, 133695824, 920799977, 199883239, ( -1), 842435511, ( -1), 856555265, 448941622, 891524603, 14570226, 544494473, 138968750, 41333598, ( -1), 366877308, ( -1), 326087955, 292505418, 694026942, ( -1), 208841670, ( -1), 83922099, 937073346, 655953387, 279496082, ( -1), 517229527, ( -1), 874631354, ( -1), 133451082, 363874757, 251187377, 168708967, 433427804, 264556543, 590154250, 69729514, 858343579, ( -1), ( -1), 741109591, ( -1), 170460787, 737111725, 997522543, ( -1), 448290784, 700030731, 738856489, 108004543, 711879416, 725296346, 130907454, 975248204, 152306951, 941125079, 145780120, ( -1), ( -1), 18198259, 121255516, 324154711, 493788055, ( -1), ( -1), ( -1), 433918424, ( -1), 400810303, 136970428, 208171632, 68660468, 887977127, 736752704, 200499227, 110573252, 61771740, ( -1), 418422484, 85270770, 717249789, 724927804, 231160823, 807642009, ( -1), ( -1), ( -1), 102744278, 133734917, 762582150, 882890020, 642266540, ( -1), 724832596, 333380526, 762430658, ( -1), 441339790, 178463752, ( -1), 170132421, 93795478, ( -1), 468523906, 498569576, 33885828, 986909926, ( -1), 98333490, ( -1), 205477999, ( -1), 629840913, 254480213, ( -1), 913432817, 819079981, ( -1), 776309636, 578531546, 232420405, ( -1), 86114269, 986585757, 3639860, 139731931, ( -1), 802356468, 526607324, 195551879, 526563173, 660404853, ( -1), 90070246, 11067926, ( -1), 959822486, 803387876, ( -1), 55151904, 592993000, ( -1), 232351489, 292357482, 150188007, ( -1), 501569446, ( -1), ( -1), ( -1), 989523430, ( -1), 919218856, ( -1), 691039635, ( -1), 995772932, ( -1), 240703488, 985416351, 346216320, ( -1), 932549375, ( -1), 391125558, 268811480, 157791522, 277917112, 990920277, 139310029, 403198292, 175692278, ( -1), 633688271, ( -1), ( -1), 572115067, ( -1), 583591158, ( -1), 753338702, 353026252, 862411477, 981046973, 500720869, ( -1), ( -1), 89669856, 823584964, ( -1), 247093091, 67358494, 392587381, 925178251, ( -1), 153496604, 914587033, 777311272, 149491872, ( -1), 299918015, 829627832, ( -1), 218204594, ( -1), 450333073, ( -1), 529117152, 926313594, 96649121, ( -1), 21348692, ( -1), 235887493, 53716924, 33566567, 680336836, 151298161, ( -1), ( -1), 3993506, ( -1), 804305098, 524035350, 902766361, ( -1), 814046630, 255405953, 22724317, 396175298, 21993925, 855760274, 645742101, 746899272, 587982926, 553740917, ( -1), 944275691, 600690225, 50706625, ( -1), 915955613, ( -1), ( -1), ( -1), ( -1), 999197575, ( -1), 814879163, 765659877, 253546410, 382306850, ( -1), 115578571, 622214487, 218765112, ( -1), 193753982, 683696790, 897326230, ( -1), 750068973, 294567953, 66512692, 643562063, 643330298, 769000339, 101918049, 419857314, ( -1), 332369299, 208135968, 879193078, 497624437, ( -1), 95477886, 603905711, ( -1), 792575643, 226967446, 358490809, 345700632, 7650427, 695846997, 485496991, 961115407, ( -1), 686735076, 321029562, 238626203, ( -1), 719410221, 218903202, 514497713, ( -1), ( -1), 422227734, 37402203, 883419394, 236657115, 790881591, ( -1), ( -1), 928761786, 738717083, ( -1), 749586145, ( -1), 169338571, ( -1), ( -1), 51305925, ( -1), 748977939, 634962736, 632583707, 826227889, ( -1), 894041002, 104919130, ( -1), 26887538, 244572969, ( -1), 629126298, 839708079, 305029236, 794035648, ( -1), 535245281, 555242831, ( -1), 644585627, 492250499, ( -1), 620025264, 906926844, 883637159, 302504635, ( -1), 354417256, 219270947, ( -1), 99663046, 909200935, ( -1), ( -1), ( -1), 317654502, 572894192, 312048842, ( -1), 315242315, ( -1), 135764644, 651012388, 423663205, ( -1), ( -1), 181020642, ( -1), ( -1), 868354243, 979374262, 841979196, 587623827, 186916651, 537643070, ( -1), ( -1), 933662752, ( -1), 367728821, ( -1), 604345745, ( -1), 593424609, 705627196, ( -1), 306532340, ( -1), 595168715, ( -1), 859327631, 13276847, ( -1), 507400559, 626252326, 86662208, 651470360, ( -1), ( -1), 742849727, 242432116, 923241878, ( -1), 477214334, 740121708, ( -1), 817758538, ( -1), ( -1), 415965361, 49326914, ( -1), 106106701, 322765233, ( -1), 655441097, ( -1), 494954369, 567272480, 828616468, ( -1), ( -1), 87661482, 795680441, ( -1), 303414992, 327517303, ( -1), 471548215, 859017822, ( -1), 864633969, 190085050, 653314402, ( -1), 391900259, ( -1), ( -1), 146909861, 11605089, ( -1), 692422376, ( -1), 718634763, 574383562, 366671700, 648586528, ( -1), 56274392, 332063702, 524374330, ( -1), 965819065, ( -1), ( -1), ( -1), ( -1), 399326624, 700324384, 909375749, ( -1), ( -1), 277191408, 840907294, 976691005, 502830984, 71555480, 378522707, ( -1), 610740885, 525482816, 813798031, 57822995, 646299897, ( -1), 828841298, 120851694, 20854718, 583472669, ( -1), 994524585, 20319124, 485649888, ( -1), ( -1), 395400130, 868783110, 163138551, ( -1), 971384631, 52349999, 321722711, ( -1), 891750353, 801792675, ( -1), 311564395, ( -1), 70790379, 702636507, 245180713, 850257999, 565567649, ( -1), 506016084, 915623437, 112923521, 441290791, 192026996, 402126522, 653115104, 153933629, 183914677, ( -1), 522709285, 811423487, ( -1), 453999793, 899142719, 508117566, ( -1), 573975351, 201672485, ( -1), 195920109, 166142609, ( -1), ( -1), 112348449, 789329284, ( -1), ( -1), 626935595, 229563822, ( -1), 358810718, 845873577, ( -1), 754400018, 206461618, ( -1), ( -1), 502032070, ( -1), 426459985, 121236466, 92660217, ( -1), 49800406, 52773928, 83747631, 329507425, 534746931, 122359582, ( -1), ( -1), 965881810, ( -1), 26582998, ( -1), 31198655, ( -1), ( -1), 810541423, 372069419, ( -1), 563208075, 915074914, 71222644, 636128734, 131932984, 819687501, 979902474, ( -1), 277129874, 438273962, 468406792, ( -1), 836888520, 702739177, ( -1), 265143562, 652030852, ( -1), ( -1), 650509147, 760308349, ( -1), 336355587, 176964156, 361533586, 28305482, 343827386, 727532330, ( -1), ( -1), ( -1), ( -1), 290269083, 896186328, ( -1), 804232878, 48673315, 284116716, 1514252, ( -1), ( -1), ( -1), ( -1), 176599889, ( -1), ( -1), 432106291, 788746553, 270851234, 24793922, ( -1), ( -1), 651974601, 817125474, ( -1), 54313865, 49082522, ( -1), 884279621, 245528713, 776198327, 219732212, 256726093, 876769772, 643101896, 117730245, 160362003, ( -1), 216835731, 231870338, 911446610, 545436929, 645352973, 941556358, 718655557, ( -1), 253888258, 932877642, 472510297, 683406297, 482823511, 486298283, 548993933, 473871706, 30753579, 247673705, 169158237, ( -1), 304658674, 69630246, 841119859, 885928825, 690803799, 978565108, 595991760, 327632197, ( -1), 710624073, 179260447, ( -1), 734534677, 639053604, ( -1), ( -1), ( -1), 526780365, 366427989, 288120008, ( -1), 27754857, 907857604, 792847918, 29518374, 827966995, 600011518, 773924052, 66548261, 748110830, 748820980, 231719632, 598661892, ( -1), 600078759, 886248889, ( -1), 818268900, 488156160, ( -1), 955163725, ( -1), 679951050, 730089104, 593006704, ( -1), ( -1), 644016237, 625188212, 39016653, 952148676, 720392934, 715547195, 335225709, 943088474, ( -1), ( -1), 255261356, ( -1), ( -1), 666793413, 941774003, 653963224, 732089475, ( -1), 11991154, 67668552, 58823244, 272583532, 12975854, ( -1), 841587, ( -1), 899794136, 977447087, ( -1), 631983843, 842520345, 80368438, ( -1), ( -1), ( -1), ( -1), 67786804, ( -1), 441604888, 789003674, 31957647, 872932978, ( -1), 287222330, 820815138, 138139676, 39289802, 550820568, 407351242, 213233374, ( -1), 677786955, 397395427, 102355658, 348619800, 587346047, 893525081, 117768408, 327160370, ( -1), ( -1), ( -1), ( -1), 966326786, ( -1), 402435945, 538489284, ( -1), 731721366, 246692554, ( -1), 110859496, 901422437, ( -1), 900949283, ( -1), 175101733, ( -1), 71796169, ( -1), 659429211, 915687486, 931233133, 492577475, 240766945, 356763770, ( -1), 677858800, 33486671, ( -1), ( -1), ( -1), 630273339, 169819967, 711681397, 638307731, 753019469, 708408944, ( -1), ( -1), 281544820, 749220029, ( -1), ( -1), ( -1), 73893456, 232152372, 885065334, 97263925, 51435453, 104468356, 476692486, ( -1), ( -1), ( -1), 482315783, 810657383, 436850760, 784076075, ( -1), ( -1), 47498867, 753954132, ( -1), 390534302, 204058834, 724589268, 541886797, 74128182, 254309236, 642552835, 156179856, ( -1), 324183437, 988905602, 91263901, 563739859, 472584843, ( -1), ( -1), 798447453, 913377996, 100977366, 130858900, ( -1), 210290661, 275975878, 69847329, ( -1), 263632587, 289861484, 249553756, 90025439, ( -1), 367356162, 29166818, 149252783, 948533800, 450310273, 114943569, ( -1), ( -1), ( -1), ( -1), 533155414, 154559849, 745374155, 934747725, ( -1), 952131234, ( -1), 473497832, ( -1), 715611414, 895008339, 416048894, 809681711, ( -1), 712491451, 659770325, 440874455, 873948984, 374742308, 563631728, 426013209, 267002169, ( -1), 558675423, 435773412, ( -1), ( -1), 196897930, 544865699, 512683913, 983595890, 447090488, ( -1), 508590979, ( -1), 692257124, 696099320, 829952390, 341434945, 482900091, 426029554, 647191312, 648677523, 666425253, 669496720, 646741170, 250778757, 863536381, 871204941, 166477203, ( -1), 284248299, 824048021, 509605414, 312341365, 234918193, ( -1), 593755621, 989281494, 20965200, ( -1), ( -1), 401335401, 54894223, 74743310, 249481170, 52429614, ( -1), 649006503, 582941735, 63495242, ( -1), 945183491, ( -1), 904818128, 596377541, 516659376, 560971662, 745660869, 909555470, 578759126, 872051412, 79573005, 727075897, ( -1), ( -1), 551633743, ( -1), ( -1), 161857259, ( -1), 1946641, 66651576, 458399044, ( -1), 707833208, 840979489, 679050456, 814395492, 26374917, 209712375, ( -1), 147996518, 543508454, 270702061, 590035109, 967287933, 88169662, 172229439, 880963667, 390504639, 882749740, 571335273, 179380100, 202650977, 912468606, 436796640, 618686381, 213616710, 389684811, ( -1), 903123415, 602640979, 714157131, 565831731, 765161707, ( -1), 375647902, ( -1), 447266470, 33168989, ( -1), ( -1), 161992342, ( -1), 806335459, 46058686, ( -1), ( -1), ( -1), 143571610, ( -1), 494770517, 255296159, 461517914, 767443688, 756675079, 225113048, ( -1), ( -1), 339873123, ( -1), 864223606, 665528493, 865092334, 749623363, 579852228, 774149544, 338000055, 492719411, 254698071, 777098618, ( -1), 347719747, 532183207, 985447127, 387892231, 471984398, 783146230, 814867014, 419481793, 728460820, ( -1), 41825100, 983945065, ( -1), 529048519, 978822563, ( -1), 896988472, 965896082, 352075256, 311991960, 769851910, 823110308, ( -1), 800214118, 14573459, 529148647, 307419566, 689805203, ( -1), 670930071, ( -1), 902436960, 509623571, 126790791, 488811039, 733311605, 24140613, ( -1), 724164226, ( -1), 253494086, 369806846, 572546734, 839155062, 878606916, 11705655, 796335319, 980498250, 966666870, ( -1), 553831653, 250675171, 968415538, 979511672, 800345188, 739585897, 803165148, 723499925, ( -1), ( -1), 919616489, ( -1), 568846866, 76995379, 315828254, 290490112, 215869519, 803696523, 707300655, ( -1), ( -1), ( -1), ( -1), 133632759, 518350223, 398431541, ( -1), ( -1), ( -1), 7292020, ( -1), 332605390, ( -1), 649782235, ( -1), 626812483, 946567204, ( -1), 443519675, 196888311, 448506911, ( -1), 302087854, 319451046, 504686042, 323889356, 740578054, ( -1), 161377954, 695181635, 849960995, 480804812, 657100188, 260719766, ( -1), ( -1), ( -1), 988727901, 921154866, 118766868, 217971392, ( -1), 659608283, 147572213, ( -1), ( -1), 84176594, ( -1), ( -1), ( -1), 188542748, 521897600, ( -1), 666643254, 883998460, 689759525, 775377628, ( -1), 520589296, ( -1), 260056320, 199824131, 60506016, 664193360, ( -1), 927479509, ( -1), 316325493, ( -1), ( -1), 658654801, 445672703, 747354795, 907837284, 511708224, 438485203, ( -1), 712702033, 852886607, 521505740, ( -1), ( -1), ( -1), 672981067, 258186705, 160361007, ( -1), ( -1), ( -1), 316960266, 427322490, 219674569, 260959290, ( -1), 446212298, 644496247, ( -1), ( -1), 879424901, ( -1), 310406002, 397528369, 632212112, ( -1), 566897717, ( -1), 305407491, ( -1), ( -1), 362386141, 411978630, ( -1), 607049382, 105293164, ( -1), 759307887, 227196871, 654465676, ( -1), ( -1), ( -1), 819053925, 510823667, 971199855, ( -1), ( -1), 500044703, 142327073, ( -1), 478007646, 536272727, 311246450, 788475013, ( -1), 330616100, 921705519, ( -1), 357486330, 266937793, 871314912, ( -1), 280046727, 270558054, 999823666, 403135398, ( -1), 180280803, 538214945, 107404235, 184446197, 770262515, ( -1), 199838357, ( -1), ( -1), ( -1), 472097886, 52217791, 925806371, 973917369, ( -1), 109212536, 488903964, 478587398, 262565904, 311761050, 49718894, 832222347, 88158706, 856061271, 532417325, 108892451, 14708688, ( -1), 595861815, ( -1), 975076682, 966705571, 646792904, 14330918, 49550002, 985535100, 248935945, ( -1), ( -1), ( -1), 704128687, 861624747, 7755200, 578015645, ( -1), 249784617, 656521959, 219166018, 478830572, 48682475, 852446052, 243396744, ( -1), 155155977, 750144440, 275075941, ( -1), ( -1), 812023227, 146688974, 325571413, 351202032, ( -1), 384425130, 531586127, 548916712, ( -1), 4207732, 788854228, 357408265, ( -1), 38139351, 950656468, 25419378, 722349499, 558945503, 303927893, ( -1), 368222492, ( -1), ( -1), 754765690, 829246637, 554751944, 10703374, 307449492, 354484055, 28333366, ( -1), ( -1), 221976414, 565181059, ( -1), 494061890, 415619942, 317037197, ( -1), 627184771, 227550815, 661926749, ( -1), ( -1), ( -1), ( -1), 146147282, 612670534, ( -1), 54289178, ( -1), 64073732, 899744173, ( -1), 687600810, 270470212, ( -1), 681606223, 158508891, 418354630, ( -1), 435424825, ( -1), 529905689, 401905922, ( -1), 561585595, 471821716, 146967420, ( -1), ( -1), 181808448, 912668693, 458065931, 507704793, ( -1), 204780722, 231936232, 169670679, ( -1), ( -1), 5213659, 851194363, ( -1), 55732396, 586071225, ( -1), 866068246, 753487422, 64685303, 130538916, 846202513, ( -1), 536628345, 925644917, 624713644, 262101409, 906624962, 819901634, 997442812, ( -1), 765016779, ( -1), ( -1), 164908601, 868037196, 666291194, 327510082, ( -1), 574976848, 986030908, 578688409, ( -1), 909309333, ( -1), 9957112, 680195329, 145662125, 918157957, 482018522, 742256246, 202806997, 851604459, 887070719, 323506227, 691170675, 446103306, 287878801, ( -1), 178574326, 150783004, 247542574, 260500710, 67373033, ( -1), 199374033, ( -1), 990677956, 822952078, 754573101, 866703798, 615886757, 242714799, 947100668, 512878533, ( -1), ( -1), ( -1), ( -1), 279124039, 542797558, 132440573, 282755860, 907973331, ( -1), 769543270, 994834546, ( -1), 532729382, ( -1), 498088743, 338359765, 993629876, 91611812, 265506062, 20708190, 520391052, 225283119, ( -1), 715782725, 776301171, 475261124, 442112545, 105020262, ( -1), 475736515, ( -1), 828177923, 89793745, 780147114, 751489000, 275962232, ( -1), ( -1), 759644854, 328058782, 680177515, ( -1), ( -1), 115214863, ( -1), 718272809, ( -1), ( -1), 370550493, ( -1), ( -1), ( -1), 866755694, 177346210, ( -1), 489891778, 395600389, 95281237, ( -1), 33220782, 608780317, ( -1), 146172192, ( -1), 128270707, 519248918, ( -1), 237955428, 360159306, 737609060, ( -1), ( -1), 841073652, 366666760, ( -1), 251715386, ( -1), 725076428, 14914384, 994710947, ( -1), 652386479, ( -1), 433253932, 650981235, 90552411, 51375559, ( -1), 943538130, 519877661, ( -1), 623082477, 177543916, 125222862, 827962882, 806740135, 977441440, 785987160, ( -1), 682825876, ( -1), ( -1), ( -1), 369663221, ( -1), 56128386, ( -1), 736336485, ( -1), 372004874, ( -1), 829057009, 993415311, 445581621, 288037578, 887405761, 663362411, 468731337, 151344609, ( -1), 19992692, 244840673, 258863045, 286590989, 128486409, ( -1), 816867859, 710389249, ( -1), 781054447, 869849622, 46440214, 377042257, ( -1), 666241726, 21859601, 229210092, 560882888, 312283450, 932111412, 669674568, 474735959, ( -1), 203048957, 474847272, ( -1), 484221870, 718637698, ( -1), 221642285, 8105219, 627122889, 246122132, ( -1), ( -1), ( -1), ( -1), 480119835, 434974405, 178903593, 975440219, 633253032, ( -1), ( -1), 180796291, 926534076, ( -1), 855302102, 93804160, 845306447, 729071655, 115435542, 162903767, 847592937, ( -1), 765057505, 450118157, 173739494, 756674689, 943956996, 500435621, ( -1), ( -1), ( -1), ( -1), ( -1), 983939374, 635922969, ( -1), ( -1), 487982757, 524744249, 663495863, ( -1), 281765072, ( -1), 18073019, 265358535, 371446985, 281772000, 82500722, 967382057, 296488335, 158079401, 717617779, 543690592, ( -1), 644065269, 798215448, 586948059, ( -1), 935930861, ( -1), ( -1), 126736208, 286353694, 649738096, 829005333, ( -1), ( -1), 429950630, ( -1), 968532415, 283966672, ( -1), ( -1), 304619296, ( -1), ( -1), ( -1), 502803492, 317647350, 693026993, ( -1), 84715820, 41403910, ( -1), 280888220, 492238682, 44809025, ( -1), 484462173, 64934208, 31607544, ( -1), ( -1), 259615762, ( -1), ( -1), 903577506, 261209875, ( -1), 203065789, 502318927, 492209561, 554183339, ( -1), ( -1), 882039195, 174795112, 396714638, 715504786, 752449988, 562126775, 38967579, 306684151, 121821011, ( -1), 351848106, 391705303, 83708675, 855621754, ( -1), ( -1), ( -1), ( -1), 820018521, ( -1), 441930963, 531738416, 943714766, ( -1), 356276471, 851819282, 731788679, ( -1), 337033006, ( -1), 973552608, 899922821, ( -1), 870759724, 67091216, 760377944, 779074426, 741514571, 515197695, ( -1), 421295492, ( -1), ( -1), 556840667, 324199425, 421266922, 428610038, 920534580, ( -1), 961451983, 247669709, ( -1), 801340910, 268617728, 131549964, 237216839, ( -1), 971190488, 837271795, 948823704, ( -1), ( -1), ( -1), 551818615, 113556276, 994954262, ( -1), ( -1), 256421967, 573873352, 155579353, ( -1), ( -1), 17739999, ( -1), 547606109, 435088352, ( -1), 93206005, 658250699, 501722428, 135356175, 776811129, 294890178, 337816511, ( -1), 196732360, 188490840, 310151219, ( -1), 444045544, ( -1), 929907694, ( -1), 57872248, 710449771, ( -1), 455088630, ( -1), 123920529, 503306128, ( -1), ( -1), 133133589, ( -1), 488840290, 488458989, 835712574, ( -1), 335166100, 880303984, ( -1), 601202795, 284748588, ( -1), 914630284, ( -1), 461943517, 805833298, ( -1), 762630292, 892111380, ( -1), 330793380, ( -1), 144962849, 692763418, 581986182, ( -1), 812620382, 330851103, 306166053, ( -1), 9479169, 192714162, ( -1), ( -1), 26424386, 262230420, 517054591, 724694565, 791586859, 228646096, 128730844, 94446054, ( -1), 682248558, ( -1), 492569520, ( -1), 357681249, 818242355, ( -1), 156183481, ( -1), ( -1), 289686566, 383130297, 613485900, 436415607, 19145469, ( -1), 456935229, 295092938, 877143212, ( -1), ( -1), 32450457, 203072428, ( -1), 516447778, 470309438, 837682055, 785881015, 753166714, ( -1), 237233568, 730686525, 631648924, 659615989, 626656847, ( -1), ( -1), 956916078, 701121079, ( -1), 232618544, 63611723, ( -1), 759825188, 130491543, 805751033, ( -1), ( -1), 317722447, ( -1), 318319821, 444511644, 677070808, ( -1), ( -1), ( -1), ( -1), 907351172, 312906567, 104221568, 875490570, ( -1), 935291314, ( -1), 330995890, 771736013, 925765448, 648586949, 687671193, 564918626, ( -1), 552966026, 982688351, ( -1), 438736077, 619971568, 756049569, 658979622, ( -1), 300044460, ( -1), ( -1), ( -1), 622395283, 190965047, 208959111, 910966381, 969428374, 483766029, 554543628, 40339806, 21957089, ( -1), 665264239, 296571728, 946341031, 239856938, ( -1), 255684908, ( -1), ( -1), 331960021, ( -1), 22108847, 196924344, 891196642, 736961848, ( -1), 69646148, 984119533, 487321876, 901796784, 59545114, 382654073, 228919518, 109716166, 432672335, ( -1), 475807153, 397783266, ( -1), 62190217, ( -1), ( -1), 523655384, 243348368, 837329380, 440706383, 427908736, 541916171, ( -1), 679006940, 620166123, ( -1), 770374223, ( -1), 593231904, 666587806, ( -1), ( -1), 867643992, ( -1), 137242366, 968121546, 211031112, 349947931, 538707383, ( -1), ( -1), 971148109, 940923345, 758554839, 906414010, ( -1), ( -1), 155716687, 770086202, ( -1), 352270257, 692357093, ( -1), ( -1), ( -1), 115500829, 66373524, 329313518, 477359438, 968563978, 740092205, 719011993, 172096213, 86455282, ( -1), 332683832, ( -1), 907994078, ( -1), 353106011, 101954560, 640039603, 711220211, ( -1), 36665665, 763153734, ( -1), ( -1), ( -1), 196354847, 105639533, 312156640, 767354715, 696185145, 391736336, ( -1), 999613416, ( -1), ( -1), 980464351, 297806783, 10441060, 20307762, 741164334, 932531476, ( -1), ( -1), 847001422, 520028946, 837709517, 657412486, ( -1), 721600447, 683898724, ( -1), ( -1), 74694626, 970344271, 195694074, ( -1), 924037754, 310836759, 982430213, 657212913, 528086934, 592739727, ( -1), 955293945, 612110752, 768574207, ( -1), 922850700, 480134447, 382531780, 295558267, ( -1), 9630261, ( -1), ( -1), 949726479, ( -1), ( -1), ( -1), 425527381, 352843479, 318458497, 93047873, 900145957, 444722603, 811283960, 426629930, 856332037, ( -1), 919914329, ( -1), ( -1), 557488655, 670643761, 911731480, 198886396, 247854146, 818709855, ( -1), 551145354, 333840984, 529913545, 351560581, ( -1), 821296745, 463879531, ( -1), 674908768, 564595830, 531490352, 55898242, 642629521, ( -1), 385813456, 448977529, 521558490, ( -1), 511399856, 747527083, 382387841, ( -1), 4570564, 730858471, 700051672, ( -1), 962655735, 345939194, 203806622, ( -1), 424597886, ( -1), 365336281, 31411285, 587748064, 564534128, 714901020, ( -1), 473712917, 443117414, 87832552, 355033105, 785141834, 644577987, ( -1), 451964818, 519355279, 8346534, 396658681, ( -1), 55985966, 132357015, ( -1), 227136963, 71173607, ( -1), 592817751, ( -1), 843454176, 628125398, ( -1), 463456211, 394861463, ( -1), 502644530, 933301169, 398910705, 857128754, 406093754, 738206728, ( -1), 609308789, 976888070, ( -1), ( -1), ( -1), ( -1), 789003790, 743456453, 347752750, 399690613, ( -1), 878906186, 240426496, ( -1), ( -1), 213342591, 759099439, 241087510, ( -1), ( -1), 383446117, 966942996, ( -1), 79954749, 667986320, 169830356, 829733144, ( -1), 985935144, 214357655, 974515888, 673573018, 829726731, ( -1), ( -1), 967078565, 959147860, ( -1), 620709156, ( -1), 926930505, 490299930, 765344108, 531398819, ( -1), ( -1), 217024086, 451222698, 475499172, 814505658, 643709039, 137064344, 180766175, 267675604, ( -1), ( -1), 300088134, 288046484, 386127999, 575977802, 725387430, 58060321, 110460799, ( -1), ( -1), ( -1), 558391929, 333829453, 628312535, ( -1), 383440374, ( -1), ( -1), ( -1), 211392355, 775384718, 410756691, 272399824, 720028755, 615689497, 671591387, 229127730, 41557061, 961391115, ( -1), ( -1), 347797635, ( -1), 958518175, 607356816, 685026299, ( -1), ( -1), 819682554, 950743105, 245385130, 563460902, 937239205, ( -1), 954517012, ( -1), ( -1), ( -1), 435542476, ( -1), ( -1), ( -1), 843308322, 544455223, 883366740, 805643365, 578340248, 278804596, 690045406, 850789004, ( -1), 113953813, 124268474, 76110652, 545419257, 838584293, ( -1), ( -1), 982875572, ( -1), ( -1), 413354422, 543280624, 682064034, ( -1), 413820829, 43107079, 743459108, 153746138, 782132437, 592745114, 990612558, ( -1), 562171837, 761836730, ( -1), 676449365, ( -1), 132757777, 152073364, ( -1), 446062424, 843670556, 222519519, 753136146, ( -1), 650960559, 994221443, 899522579, 654175371, 91520910, 841303863, 472360612, 516232619, 382201381, ( -1), 194037953, 374216734, ( -1), 350879376, ( -1), 42293191, 576223787, 695025527, 675310452, ( -1), ( -1), 116798249, 839447394, 158444870, 395331035, ( -1), 531077879, 659485826, 661397145, 57763421, ( -1), 300533908, 17513333, 684807126, ( -1), 439291858, 801881027, 484729768, ( -1), 770271430, ( -1), 377267475, ( -1), ( -1), ( -1), 309409722, 416224272, 100767914, 352733315, ( -1), 907230582, ( -1), 273458119, ( -1), 742734031, 347190044, ( -1), 929439531, 688532884, 192321802, 243228276, ( -1), ( -1), ( -1), ( -1), 240534925, ( -1), 476655977, 313819631, 309951912, 217347527, 376381581, ( -1), 217344302, 591573426, 243999592, 485706004, 261567926, 93125538, 122734279, 714155618, 788238954, 451087755, 110871275, 259967684, 607072075, 978379288, 714490546, ( -1), 598515997, 53548788, 614677836, 275030925, ( -1), 996677126, 67864182, ( -1), 439083470, 645397509, ( -1), 294375907, 679582676, 544533605, 434106447, 70086042, 848610517, 323227664, ( -1), 461909524, 443568074, 861425538, 438024039, ( -1), 820164115, 966485506, ( -1), 30674290, 33141158, 894652, ( -1), 90652441, 740416405, 269424157, ( -1), ( -1), ( -1), 266445425, ( -1), 966990297, 154899379, ( -1), 10117586, 827947658, 848318625, ( -1), 707999264, ( -1), 263707896, 974502664, ( -1), 10622653, 871641405, ( -1), 572775254, ( -1), 572851596, 617340621, 917735118, 674398021, 228832010, 731008949, 623128519, 814552550, ( -1), 600826991, ( -1), ( -1), ( -1), 343429463, ( -1), 739335912, 251273404, ( -1), 880675622, 623106816, 964147769, ( -1), 262239286, ( -1), ( -1), 490755568, 986787018, 353410641, 950603029, ( -1), ( -1), 485210774, 720284653, 944680030, ( -1), 632735847, ( -1), 524241193, 43265797, 294166284, 534752823, 108706887, 619510914, ( -1), 110451884, ( -1), ( -1), ( -1), 137583914, 299138021, ( -1), 429349968, 566603191, 121182951, 50401965, 430167115, ( -1), 795446767, ( -1), ( -1), 104694013, 76400918, 282616339, ( -1), 187428369, 250970244, 500641448, 886507727, 112786421, ( -1), ( -1), 778203685, 913573680, 596975456, 467401517, 710457781, 998367344, ( -1), 411031359, 407926900, 960669989, ( -1), ( -1), ( -1), ( -1), 841321700, ( -1), ( -1), 588737341, ( -1), ( -1), 587285531, ( -1), 695352018, 44177429, 285389666, 112018419, 420180298, 98113434, 177993798, ( -1), ( -1), 200762961, 855007853, 608363297, ( -1), ( -1), 950328079, 485660843, 331553844, 727865117, ( -1), 841649409, 996476787, 525429436, ( -1), ( -1), ( -1), 202720862, ( -1), ( -1), 117257394, ( -1), 477728420, ( -1), 155063560, 224922176, ( -1), 125532253, 978192200, 286856208, ( -1), 53908994, 290010838, 29334180, 260902011, 344932060, 734175821, 502179176, 150991102, 31973707, 389510628, 131531665, 920243676, ( -1), 413865852, 405782289, 322280062, ( -1), ( -1), 999779123, 942312403, 263597229, ( -1), ( -1), ( -1), 536036062, 374448360, 548582286, ( -1), 81419037, 778114632, 132866629, 63087124, 857573661, 203667306, 747755738, ( -1), ( -1), 226028580, 218807785, 800114234, 778512182, 708538533, ( -1), 588598837, 634845510, ( -1), ( -1), 574963506, ( -1), ( -1), 99039619, ( -1), 879817135, 146939832, 238228729, ( -1), 936943739, 206757487, 337220969, 877956952, ( -1), 705162483, 928651793, 741564516, 721175685, 900815606, 594072096, 661722864, ( -1), 842469476, ( -1), 313501418, ( -1), 242941778, ( -1), 905113552, ( -1), 959453681, 477338723, 247403819, ( -1), 375108873, ( -1), 180792965, 16215636, 475368911, 742961385, 387615902, 442175140, 930924809, 719909469, ( -1), ( -1), 98035576, 695436484, 111975579, ( -1), ( -1), 369254902, 987024593, 256543973, 437513429, 908980856, 735461922, 205774001, 918933895, ( -1), ( -1), 995255486, 153095253, 508210986, 223727177, ( -1), 893502539, 400955310, 491901702, ( -1), 738429909, 434194105, 57013662, 929518662, 155611287, 891083733, ( -1), 472239790, 490968406, ( -1), 322964290, 880096721, 134844112, 133018451, ( -1), 154182743, 99641063, 815067353, 453532135, 869843713, 837972136, 640956862, 361178067, ( -1), 58939050, ( -1), ( -1), ( -1), ( -1), 61206282, 612358375, 499999987, 397889037, 591656835, 134883280, 705453539, ( -1), 862495194, 965235189, ( -1), 69846501, 49483744, 761683387, ( -1), 530560403, 8134294, 808511627, 706507347, 733579068, 940843779, 476823014, 772445038, ( -1), 653397055, 566344459, 681494965, 151100642, 528633509, 331449111, 513912047, 982474937, 305831145, 263757326, 282303687, ( -1), ( -1), 675201163, ( -1), ( -1), 951117000, 436882090, 934616871, 106704180, ( -1), 368687071, 842953872, 822655437, 70940389, 54627670, 411121592, 770567652, 729088233, 576764551, 12127923, 559595830, 620954254, ( -1), 639973258, 19169334, 975704797, 682464454, ( -1), 794485218, 463695, 535754451, 274821600, 708239838, ( -1), 875270873, ( -1), 860789552, ( -1), 58537944, 368725172, ( -1), 320254444, 132562513, 773347005, 946012244, 692675773, ( -1), ( -1), 22951526, 825698174, 561205826, 490159049, 276156466, 916985229, ( -1), 250666671, 848906728, 236529761, 605542462, 225592884, 742124573, 932885897, 908692921, ( -1), 967248679, 409712844, ( -1), ( -1), 210689535, 712133737, 165419217, ( -1), ( -1), ( -1), 898576748, 970625704, 920772044, 150806569, 834020073, 292306767, 508027345, 474663231, 468124170, 21359344, ( -1), 468727974, ( -1), 319939788, ( -1), 120390803, 289212545, 582707164, ( -1), ( -1), 433874490, 899676391, 133600796, 452347495, 744287257, 82438502, 483615455, 737154470, 854274273, 419435191, 46800123, ( -1), ( -1), 830930581, ( -1), 274183067, 927766095, 196313946, ( -1), 439812763, 820411110, 871646849, ( -1), ( -1), ( -1), 336874485, 378557471, 730979694, ( -1), ( -1), 814518981, 513282865, ( -1), 400726046, 986250300, 633556129, ( -1), 983201719, ( -1), 40292108, 789043582, ( -1), 606455622, 756564615, 966960784, ( -1), 771705122, 65766205, ( -1), ( -1), 22988231, 241299500, 695963121, 806846961, 255023440, 599728138, 716526513, ( -1), 496306050, 853295615, 540559949, 529728916, ( -1), 968036312, 228317742, 544612812, 49985773, ( -1), 128713289, ( -1), ( -1), 193008511, 752532210, ( -1), 812736222, 222625883, 955372805, 608443682, ( -1), ( -1), 146668716, 356491154, 912060551, 449618096, 114187188, 298101019, 20009296, 681390159, ( -1), 808777109, ( -1), 4060761, 264145995, 516488041, 38439399, ( -1), 73420922, ( -1), ( -1), ( -1), 114179429, ( -1), 630464073, 483931421, 206420576, ( -1), 787913469, 440311333, 519129160, ( -1), 655728470, ( -1), ( -1), ( -1), 501039284, ( -1), ( -1), 637559893, 937496797, ( -1), 871284789, ( -1), 12392020, 816386847, 146944706, ( -1), 64469869, 125211155, 778196698, 449432243, 167131660, 957365108, 321713156, 634779344, 448328984, 989092260, 571360125, 647710291, ( -1), ( -1), 549969334, ( -1), 18278794, 246671404, 65108080, 430894191, 801227076, ( -1), 270861721, 563670873, ( -1), 338984769, 299678181, 485161336, 253429065, 934883389, 770881195, 291527451, 542749033, 931501425, 651581379, ( -1), ( -1), ( -1), ( -1), 591227480, 432965769, 615287865, 913746624, 297634737, 822887176, 787183369, ( -1), ( -1), ( -1), 509433611, 607365371, ( -1), 932802046, 220268045, 40261725, 817299626, 234882326, 850322983, ( -1), ( -1), 122564417, 520239367, ( -1), ( -1), 530930086, 63225364, ( -1), 774549608, ( -1), 311629027, 147004780, 620013069, 219308180, ( -1), ( -1), ( -1), ( -1), 675849258, 330614845, 912367387, ( -1), ( -1), 162114811, 136250083, 223411067, 31231526, 712900738, ( -1), 404120431, 646640103, ( -1), 951757228, 750421486, 441875321, 362744967, ( -1), 684738069, 65189520, 222326039, 779189395, 405265206, 671167638, 963427326, ( -1), 837477891, 534649504, 763759549, 833584301, 285185010, 693727805, 276903701, ( -1), 621952179, 869463981, 297417724, 433921838, 664938596, 734633856, 530116471, 715093014, 971113572, ( -1), 140911432, 904615717, 223990913, 853633149, ( -1), 899013237, 184275416, ( -1), 137281412, ( -1), ( -1), ( -1), 960279901, ( -1), 567456989, 867825367, 926799565, 251352710, 54059493, ( -1), ( -1), 419914911, 768758375, 378460760, ( -1), ( -1), 294429633, 221955400, 851898706, 791209734, 79354155, 10184695, 93580585, 912971012, 804405351, ( -1), 684307635, ( -1), ( -1), 344813843, 345875083, 473152418, ( -1), 653884558, 641660237, 676917639, 240827032, 480474626, ( -1), ( -1), ( -1), ( -1), ( -1), 892827786, 146324087, ( -1), ( -1), ( -1), 601261211, 588911054, 401729605, 297099217, ( -1), ( -1), 504004152, 930669412, 256310889, 643712527, 452224648, 1873986, 446053954, 751015750, 811191979, 534082094, 68915931, ( -1), 256063752, 54640537, 126058047, ( -1), 115453246, 88470568, ( -1), 968549643, ( -1), ( -1), 90940983, ( -1), 833564981, 519396943, 970741974, 391621497, 478812124, 483753267, 133477625, 351607469, ( -1), ( -1), 205384295, 951457383, 362610628, 99475601, ( -1), ( -1), 730510413, 308367856, ( -1), 390485644, 272460780, 904265796, 940745290, 329769197, 694403005, ( -1), 219258412, ( -1), ( -1), ( -1), 43296256, 428942773, 73081736, 367849242, 104834536, ( -1), 17721494, ( -1), 749451922, 989002675, ( -1), 760454845, 928038088, 753474647, 950321764, 436653698, 14123963, ( -1), 908181524, 35743376, 56978521, ( -1), ( -1), 977129873, 832833756, 206220427, ( -1), 627289110, ( -1), 9492456, 552488378, 234371943, 425427233, 128578768, ( -1), 927355779, 242771798, 804766393, ( -1), 462249877, 859692783, 604154764, 230699734, ( -1), 81470587, 568925500, 900882664, ( -1), ( -1), 35554500, ( -1), ( -1), ( -1), ( -1), ( -1), 839400072, 491206955, 744718462, ( -1), 822797384, 177616602, 969514790, ( -1), 513606089, ( -1), 60067241, ( -1), 710775399, ( -1), ( -1), 104729882, 940676892, 961094246, 631066785, 824928646, 466303744, ( -1), ( -1), ( -1), 528769535, 523894552, ( -1), 748132324, ( -1), 45430729, 517354561, 554963814, 465797180, ( -1), ( -1), ( -1), 18626370, ( -1), 551113609, ( -1), 289576337, ( -1), ( -1), ( -1), 325781945, 402416304, 852126796, 802993029, ( -1), 490644291, ( -1), ( -1), 513247810, 988743530, ( -1), 417892888, 539829357, 818023486, 251102733, 19171260, 224111231, 477264378, ( -1), ( -1), 466971942, ( -1), 87488993, ( -1), 205218371, ( -1), 536710776, 228763185, 813950875, 599425570, 243852668, 542766575, 268805503, 528488364, 602542946, ( -1), 754220039, 196490981, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 784907434, ( -1), 950216986, 385111508, 334155364, 820086496, 109757201, 591117585, ( -1), 520188630, 502529164, ( -1), ( -1), 582946837, ( -1), 9483209, 441669168, 659186275, ( -1), 765859312, 313141832, 130453697, ( -1), 801750871, 940237718, ( -1), 415063876, 571011169, 900560185, ( -1), 663414994, 898662449, 831402309, 245704882, ( -1), ( -1), 616702729, 200832708, 642965004, 347267344, 251074599, 337176868, 983659080, 309826429, 736691274, 988058319, 71525713, 922082379, 92466483, 583433606, 180697488, ( -1), 752113373, 667902675, 525944835, 342710434, 514226499, 111241528, ( -1), ( -1), 315229177, 606399303, 844064565, 174808970, 727566703, 59064578, 204623813, ( -1), ( -1), 97828316, 671497223, 186521936, 177673233, 477715356, ( -1), 122634114, 577992537, ( -1), 758905393, ( -1), 661949591, 34596160, 339347799, 114926450, 762560747, ( -1), 346838068, 243832335, 460405458, 367664212, 493058370, 976063104, ( -1), 60820439, ( -1), ( -1), ( -1), ( -1), ( -1), 253100682, ( -1), ( -1), 65264322, 243678852, 922516462, ( -1), 156264247, ( -1), ( -1), 60242953, 992365621, 151555628, ( -1), 562542384, 825710601, 61072502, ( -1), 691558299, 560277934, 981342852, 839934164, 219149755, 986778871, ( -1), 200224236, 417829631, 986898025, 493866014, 926675801, ( -1), 769733090, 433703050, 133347256, 796030791, 141402657, 362394772, 663624639, 15083351, 993887092, 7141025, 1490793, 933244506, 42846972, ( -1), ( -1), ( -1), ( -1), 802619286, 19705686, 945677314, ( -1), 795257296, 917971826, ( -1), 172914227, 38919072, 156391711, 670217607, 684106770, 916656937, ( -1), 514994816, 179269058, 626571357, 471801904, ( -1), 932920219, 279830390, 738102754, ( -1), 19459208, ( -1), 606554841, ( -1), 258800061, ( -1), 827597972, 366089590, 743316583, 360411965, 940005150, ( -1), 647420135, 325761076, 33445391, 680441684, 655061417, 546913034, 729555536, 587160543, 224252963, 874688418, 257733833, 256710213, 55859837, 687682908, 879847453, ( -1), 337208303, 13307792, 158226653, ( -1), ( -1), 919710342, 26429329, 365439242, 871189926, 868945062, 929149746, 170765453, 503241722, ( -1), 924532047, 6530462, ( -1), 139169738, 981204482, 426773038, 550382785, 984878646, ( -1), 326032604, 626875088, ( -1), 178897146, 580014081, 789428510, 156724894, 31151759, 205421914, 404268729, ( -1), 865004356, 809217012, ( -1), 221404362, ( -1), ( -1), ( -1), 704002449, 658055372, 509114625, 456503664, 741247420, 892144708, ( -1), 835776672, ( -1), ( -1), 428087060, 49715472, ( -1), ( -1), ( -1), 46846082, 489082711, ( -1), 953572260, 5500815, ( -1), 659767899, 907990291, 892454976, 131641473, 710296065, 160936790, 180347602, 100013338, 200807926, ( -1), 146185573, ( -1), 688435530, 870966904, ( -1), ( -1), 344625801, ( -1), 827985216, ( -1), 291550128, ( -1), 53739541, 975739817, 271277984, 726247025, 98561337, 261660073, 59814926, 46464150, 910379899, ( -1), ( -1), 532774065, 579292688, 925215624, 216329887, ( -1), ( -1), 32002114, 357608151, 686095826, ( -1), ( -1), ( -1), 893253245, 231655003, 14864577, 233387160, 17113474, 869318052, ( -1), 922589763, ( -1), ( -1), ( -1), 906389024, ( -1), 721288324, 166582114, 677448698, 114875129, 943592067, 604533800, 344746114, 176154438, ( -1), 209588904, 191695674, 799088646, 665665581, ( -1), ( -1), 339791340, 400275019, ( -1), 668842625, 386792586, ( -1), 214199000, 57904433, 12314030, 668873301, 862269411, 905338327, 409915553, 603761200, 256761415, 573601507, 515276084, 763901344, 609364929, ( -1), ( -1), ( -1), 41376031, 379869743, ( -1), 506157198, 640000167, ( -1), 861662627, ( -1), 819430397, 335275903, 916434988, 281212957, 469952514, 479038802, 46874166, 101765420, 168764929, 177093156, 977823408, 363862200, 16433440, 887214892, 940845472, 81828033, 470818556, 366746634, 317718967, 536284961, 200052365, ( -1), 7203815, 52245584, 330660849, 587190643, ( -1), 154714631, 678167204, ( -1), ( -1), ( -1), ( -1), 327300586, 85529220, ( -1), 612990948, ( -1), ( -1), ( -1), 701048807, 222863531, 874798580, 128465054, ( -1), 829049949, ( -1), 134753106, 576638206, ( -1), 89786316, 719673508, ( -1), 907925582, 309368263, 182886036, 388188480, 556747369, ( -1), ( -1), ( -1), ( -1), 244232966, ( -1), ( -1), ( -1), 465277335, ( -1), 613997364, 184791922, 463077679, 404710455, 289821316, 291344987, 148154653, 452415984, 128501050, 563716577, 218476208, ( -1), 792114563, 797177540, 161345769, 418854441, 833686800, 423878357, 108500212, ( -1), 630788756, ( -1), ( -1), ( -1), 888998132, 886624033, 987319347, 33909386, ( -1), ( -1), 288528065, ( -1), 310510042, 455279866, 465339450, 555974243, 586113407, ( -1), 686198653, ( -1), 255653635, ( -1), 100406369, 48093587, 20043161, ( -1), 991319422, 914582058, 375115148, ( -1), 329850905, 46155031, 975396755, 760476174, 495475569, ( -1), ( -1), 681820209, 296753797, 879993210, 289304085, 587530074, 943797535, ( -1), 499533856, 356126145, ( -1), ( -1), 309828245, 876366907, ( -1), 26178270, ( -1), ( -1), 630853547, 298355043, 65145962, 409822602, ( -1), 806355301, 490788571, 153248050, 393002642, 392043186, 236598242, 327839029, 495772853, ( -1), ( -1), 932019737, 274368082, ( -1), 241735063, ( -1), 281358310, ( -1), 844776592, 905686605, 99765107, 598853993, 191125789, 380476030, 698061534, ( -1), 479448908, ( -1), 24134533, ( -1), 107449004, 830788598, 762908440, 916843690, ( -1), 334222635, 593368601, 900183457, ( -1), 997423397, ( -1), ( -1), 616120733, 593977666, 527677960, ( -1), 11425349, ( -1), ( -1), 357287887, 360646256, ( -1), 757810685, 515418163, 452253918, ( -1), 416169824, 974346500, ( -1), 473614100, ( -1), 909299910, 73652959, 367249469, ( -1), 313766994, 347585462, 887312687, 993816605, 354712770, 655412832, ( -1), ( -1), ( -1), 378184493, ( -1), 240612252, 112573070, 965234411, 900232443, 430741025, 605027324, 173432072, 229354629, ( -1), 959307520, 17045104, 72008976, ( -1), ( -1), 558346301, 972010228, ( -1), ( -1), 534336983, 110879795, 495281478, 159631354, ( -1), 347047244, 285955485, 111516177, ( -1), 673642279, ( -1), 838416399, 962030785, 649585176, 600815384, 692648450, 217970692, ( -1), ( -1), 67840659, 652993360, 401631851, 441100321, 622410753, 531564859, ( -1), ( -1), ( -1), 749152985, ( -1), ( -1), 610763171, 373512523, ( -1), 482461412, 374844293, 314768526, 80194841, 221596561, ( -1), 7142330, 200774394, 357578091, 104791822, 395596167, ( -1), 568970223, 799843781, ( -1), 304565654, 538086415, ( -1), 147987241, 935563431, 323875698, 630755011, 492399265, 284217400, 73833402, 101759166, ( -1), 139138958, 780721239, 819637091, 158874432, 275215878, 998333082, ( -1), 156577723, 917601195, ( -1), 190668594, ( -1), 947696852, ( -1), 240669652, 969484554, ( -1), ( -1), 501563551, 15194150, 982192996, ( -1), 459441915, 308087178, 860527267, 909875448, ( -1), 948418996, 55738561, 728467755, ( -1), ( -1), 987491606, ( -1), ( -1), ( -1), 59659167, 404713907, 464620408, ( -1), 184490200, ( -1), ( -1), ( -1), ( -1), 180174174, ( -1), 77519061, 473834632, 572857093, 344342230, 139580724, 482532960, ( -1), 259407650, 988580799, 295337539, ( -1), 234074751, ( -1), ( -1), 553589137, 548201888, 348589697, ( -1), ( -1), 572953734, 417673269, 387522853, 52471923, 707028824, 298272848, 871496508, 699958431, 460340420, 266373659, 787392468, 389096901, 601279604, ( -1), 275910556, 975184966, 113107471, ( -1), 944440175, ( -1), 389696797, 576103358, ( -1), 490024559, 696830316, 752362724, 61444676, ( -1), 932496178, 266981396, 64041150, 504822533, ( -1), 426602302, 995960052, ( -1), 277873318, 299819859, 928404982, 920378286, ( -1), ( -1), ( -1), 60399306, ( -1), 472974112, ( -1), 14031993, ( -1), 91944161, ( -1), 198305135, 201899275, ( -1), 471073295, ( -1), 823970973, ( -1), 243199647, 343219059, 596721130, 301338955, 153731737, 87242413, 785180451, ( -1), 761579988, 995038662, 670998249, 411459139, 268693924, 742207794, ( -1), ( -1), 864596748, 850785270, ( -1), 397561846, 709393391, 853543118, ( -1), 475473229, ( -1), ( -1), ( -1), 934720617, ( -1), 452174487, 421318101, 4187794, 211101213, ( -1), 650518286, ( -1), 948205874, 240272726, ( -1), 714819387, 529703963, 210091237, 495636903, 119305063, ( -1), 85768640, 818644172, 43987860, 664442634, 988774249, ( -1), 515606192, 323370323, 67909312, 953637861, 694373948, ( -1), 426637658, ( -1), ( -1), 924208544, ( -1), ( -1), 844624489, 419853916, 395025521, ( -1), ( -1), 731383509, ( -1), ( -1), 95953503, 773713069, ( -1), ( -1), 284160365, 651442658, 506321083, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 460518156, ( -1), 613855444, 98257335, 497604431, 238207172, 754741979, ( -1), 44624262, ( -1), 718832061, 237587461, 125682409, 100267876, ( -1), ( -1), 201953144, 240411207, 557282604, 150960898, 971984552, 870747338, ( -1), 303492867, 729210259, 653882325, 117315225, 735116251, 918016401, 547786743, 735402537, ( -1), 420021724, 475154051, 211667670, 308526181, ( -1), 264458675, 897441646, 776407746, 666017894, 287895917, 717408338, 200208605, 486286885, 384891348, 966844062, ( -1), 418205210, 516757074, 569786459, 255263926, 390385107, ( -1), 742249695, 442728724, 70098440, 88398965, 257722916, 890799440, ( -1), ( -1), ( -1), 830471803, ( -1), ( -1), 536660457, ( -1), ( -1), 342183765, ( -1), 441492879, 938626413, 558085131, 512831020, 63359329, 320925166, 849131471, ( -1), ( -1), ( -1), 491927743, 946370817, 70269337, 320727092, 963843033, ( -1), 5574340, 694321319, ( -1), ( -1), 676531180, ( -1), ( -1), 378788954, 563791347, ( -1), 429124678, 843673886, 28609285, ( -1), 553876425, 546879895, ( -1), 578450104, 88334381, 782264770, 253683823, ( -1), 774877199, 298224452, 712755600, 672836821, ( -1), 620358425, 158389622, ( -1), 431822174, 72779051, ( -1), 993113600, 198827220, ( -1), ( -1), 915286604, ( -1), 74115950, ( -1), 71547856, ( -1), 32595302, 837888487, ( -1), ( -1), 971439957, 686118335, ( -1), 233042507, 870382432, 678344428, 944560838, 561573910, 50178302, 267422999, ( -1), 550089844, 786281556, 817197859, 896029912, 885756879, 656871074, 464064796, 863079280, ( -1), ( -1), 516867617, ( -1), 154845078, 96679124, 720032397, 53402455, 841980243, 5521945, 536512223, 372413280, 500710424, ( -1), ( -1), ( -1), ( -1), 559626253, 408065806, 461601889, ( -1), ( -1), 28733537, ( -1), ( -1), 908824722, ( -1), 239096217, 111937686, 835747780, 373472584, 357070878, 900771598, 895925827, ( -1), 709361864, 976209276, ( -1), 443811814, 148416542, 66010496, 290880891, ( -1), 888382761, ( -1), ( -1), ( -1), 776086261, 840487318, 880302150, 183744424, 372211893, ( -1), 886866173, ( -1), ( -1), 898822409, 631582763, 504894251, 875339949, ( -1), 186365410, 534661768, 198376052, 867765649, ( -1), ( -1), 512667240, ( -1), ( -1), 965652956, 346445475, 595944786, ( -1), 220984784, 512783302, 81503687, 482698365, 740965706, 543235601, 848628394, 588987477, ( -1), 958948893, 647641159, 472984844, ( -1), ( -1), 996127030, 219257946, ( -1), 149946933, 39028897, 13870564, ( -1), 511767378, 799760067, 731353669, 15609799, 19087949, 405411691, 940389673, 513637227, 771447133, 423779628, 771038879, 485679453, 394306981, 509264623, 125938412, 189316661, 952527003, 373486481, ( -1), ( -1), 595590890, 95705787, 673476946, ( -1), ( -1), ( -1), 713515512, 729631738, 971896252, 653081188, ( -1), 679676304, 729873866, 927178576, ( -1), 620880120, 686382264, 79488454, ( -1), 672944626, ( -1), ( -1), 85068839, 127729061, 877681090, ( -1), 192952518, 612289908, 869931219, ( -1), ( -1), 336727461, 313833315, 589260718, ( -1), 503999479, 166385206, 12979677, 163757650, 869324685, 612590712, ( -1), 127682214, 2700715, 482713716, 755617913, 879496329, 447520189, ( -1), 903091117, 894943254, ( -1), 196770177, 230444813, 707077817, 988070491, 611548414, 756923362, 664366584, 582502961, 353617599, ( -1), 33606659, 643141937, ( -1), ( -1), 105612837, 890720958, 384279288, 877224907, ( -1), 706909411, 17927416, ( -1), ( -1), ( -1), 479101558, 748390097, 246479210, ( -1), 323201080, ( -1), ( -1), 274872644, 120495086, ( -1), ( -1), 968922825, 540589388, 556551237, 343243912, ( -1), ( -1), 379188895, ( -1), 275257105, 510670703, 429618591, 206687591, 588348290, 147818258, ( -1), ( -1), 443381067, 613618541, 440093031, 507636312, 144470071, 470895753, 84979934, 42923426, ( -1), ( -1), 469153128, ( -1), 833934183, ( -1), 230026981, 586312915, 852507353, 60561122, 157625177, 704416549, 209448473, 820464526, ( -1), 518826291, 674824623, 328618646, 180037369, 790845482, ( -1), 240482160, ( -1), 941737476, 704189647, ( -1), ( -1), 991752392, ( -1), 764017447, 396864691, 17947216, 281327977, 918587928, 975077617, 780259889, ( -1), 678409136, 213644879, 177671268, ( -1), ( -1), 666173297, 295399685, 397084523, 880667341, 650728392, 971636044, ( -1), 326927752, 855518232, 700896465, 64217105, 882304578, 726517635, 927577154, 6614507, 991773780, ( -1), 183893518, 832858288, 231414132, 538487208, 721132380, ( -1), 715671956, 743151535, 367625744, ( -1), 817326306, 582866960, ( -1), 185798000, ( -1), 522534223, 533944332, 524364651, ( -1), 886411430, 160736041, 393348532, ( -1), ( -1), 799226757, 144912872, 236186577, 662439148, 440234773, 735285558, 121519143, 344957163, 419525189, 815352018, 530115790, 120768062, 197156129, 251097789, ( -1), ( -1), 262699238, ( -1), 494859322, ( -1), ( -1), ( -1), 390659598, 20032402, 705006998, ( -1), 578183951, ( -1), 612772851, ( -1), 288274241, 969581690, 480675629, 694683012, 278692649, ( -1), 153185479, 840329895, 474151919, 530824194, 839386997, 548708360, 726817491, 595321696, 185207471, ( -1), ( -1), 78642519, 162624037, 775425482, 965407587, ( -1), ( -1), 245146790, ( -1), 851310751, ( -1), 763159746, 718363182, ( -1), ( -1), ( -1), ( -1), 594449743, 958326288, 461898033, 636319808, ( -1), 643289663, 573099517, 363581827, ( -1), ( -1), 313728414, 226301819, 957102520, 844204783, 159491993, 797494703, 44529086, 981255907, ( -1), 910077341, 494391912, ( -1), 942596431, ( -1), ( -1), 700839948, 384892891, 359803749, ( -1), 581993759, 486565243, 332482378, 608639284, 352130419, ( -1), 410651697, 763610739, 278536615, ( -1), ( -1), 781116023, ( -1), ( -1), ( -1), 874221872, 943263153, 906115527, 501668953, 962697757, 270979646, 68415575, ( -1), ( -1), 589778632, 32093296, ( -1), 859744745, 842084785, 545204844, ( -1), 547850593, 193899896, ( -1), 526668172, 855761721, ( -1), ( -1), 517131593, ( -1), 552660633, 266536815, 587909913, 133298229, 662386099, 696539574, 884514587, ( -1), ( -1), ( -1), 243097317, 683093338, 668775681, 215097170, ( -1), 139800833, 983029304, 915691838, ( -1), 65228686, ( -1), 573834900, ( -1), 717702929, ( -1), 548202644, 52260698, 558002112, 601121092, 123647753, 37093603, ( -1), 835662861, ( -1), ( -1), 746872578, ( -1), 603124077, ( -1), 182127036, 832600688, ( -1), ( -1), ( -1), 235491933, 951870276, 807843983, 298352089, ( -1), ( -1), ( -1), 699018330, ( -1), 847694985, ( -1), ( -1), ( -1), 21963098, ( -1), 896115442, ( -1), 157472264, 555377341, 188628729, 266875055, ( -1), 716438174, 480549689, 273881817, 902946651, ( -1), 289411282, ( -1), 386100029, ( -1), ( -1), 686579150, 277030853, ( -1), ( -1), 980265121, 407446924, 814122602, 727640837, 356009150, ( -1), 251439361, 604838274, ( -1), 610735863, ( -1), 217779082, ( -1), 989101312, 861963509, ( -1), 151671695, 425394242, 456170997, 146182316, 143044247, 89638073, 186700678, 325530847, 375515229, ( -1), ( -1), 57180182, 373403693, ( -1), 822165735, 640118528, ( -1), ( -1), 13688802, ( -1), ( -1), ( -1), 421885178, 963476105, ( -1), 424803900, ( -1), 299201326, 528505143, 264838747, ( -1), ( -1), 188025900, ( -1), 182235594, 128286990, 781594012, ( -1), ( -1), 835337354, ( -1), 266098102, ( -1), 580459283, 730600566, 974802519, 839503815, 659717801, 548918976, 62326512, 401848573, 50235397, 629215984, ( -1), 291146472, 149655294, 443623584, ( -1), 905503557, ( -1), 740255189, 592718060, 180794135, 440613317, ( -1), ( -1), ( -1), 705789992, ( -1), ( -1), 292235644, ( -1), 482081708, ( -1), ( -1), 117568385, 861562010, 395616879, 258186439, 343890772, 281017423, 671186862, 300522745, ( -1), 573783958, 991996092, 809456297, 750724618, 31457137, ( -1), ( -1), 269991642, 862127900, 598313281, 291044, 21276554, 290439579, 812103559, ( -1), ( -1), 430230786, 250561269, 872474273, 7976245, 104256024, 615323985, ( -1), 820228081, 665702520, 686613362, 418586949, 176112156, 324906885, 894215526, ( -1), 880147462, ( -1), 488232812, 179758272, ( -1), 240523387, ( -1), 843204702, 2467788, ( -1), ( -1), 219050580, ( -1), 43737811, ( -1), 432682979, 188212271, 272658290, 528977109, 308223619, ( -1), 279057958, 984974096, 216128846, 117929526, ( -1), 283067254, 914514412, 450010900, ( -1), 186083264, 941851888, ( -1), 736744270, 112979633, ( -1), 982018987, ( -1), 557614160, ( -1), 953769147, 360154619, 30923993, ( -1), 334868644, 837257213, 257529762, 468478863, 458372134, 372667461, ( -1), 50434130, 179471231, ( -1), ( -1), 963026081, ( -1), ( -1), ( -1), 267472294, ( -1), 881595987, 411436194, 798557655, 573623293, 251154565, 831424464, 514238966, 447571921, 359128596, ( -1), ( -1), 402413483, 496899847, 457039797, ( -1), 177718736, 714015519, 152502484, ( -1), 890274313, ( -1), 902467857, 972251685, 411712096, ( -1), 795949703, 807535162, 339769839, 428579163, 942480039, ( -1), 562803092, 443076634, ( -1), 151052051, 418907155, 42609744, 344964221, ( -1), 174544984, 311386640, ( -1), 670927358, 50788417, 611918485, 650735910, 901425158, ( -1), 509332544, ( -1), 788741184, 987677669, ( -1), ( -1), 558100717, 527983943, ( -1), ( -1), 616069120, 941525605, 891261543, ( -1), 49663203, 322663933, ( -1), ( -1), 409284763, 811917269, 490018904, 924147627, ( -1), 623211102, ( -1), 841959299, ( -1), 817856153, 323310355, 783011298, 939911315, 2713852, ( -1), ( -1), 352214867, 495651349, 752836386, 973750403, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 197637962, 443951220, ( -1), 659495381, 190172270, ( -1), 478130971, 680405617, 946644574, 993760354, 67959455, ( -1), 171162921, 361007686, ( -1), ( -1), 689086006, 222961481, 530598011, ( -1), ( -1), 254050331, ( -1), 691834295, 370912188, ( -1), 143472971, 442761757, ( -1), ( -1), 635419321, 958972203, ( -1), 851171524, 87384561, 766965701, 407234308, ( -1), ( -1), 897189094, ( -1), ( -1), ( -1), ( -1), 737342109, ( -1), ( -1), ( -1), ( -1), 751041533, ( -1), 679075550, 429654589, 703097203, 458084675, 658773378, 725336581, 644718462, ( -1), 705546214, 618865922, 619377369, ( -1), 414458919, 191690735, ( -1), 80639360, 155522356, 755613925, ( -1), 919883090, 81249855, 73350658, 359159324, 300963109, 471733984, ( -1), 924576838, 535432329, 546157282, 301496364, ( -1), 615371725, 916323967, 444836146, 824673747, ( -1), ( -1), ( -1), 736376467, 166124129, 294043737, 988930266, 328691535, 990333761, ( -1), 858041944, ( -1), 919579034, ( -1), 583510618, 75314123, 297267926, 75406357, ( -1), 892608878, 717779070, 89365038, ( -1), ( -1), ( -1), 950578931, 140272730, ( -1), 278172027, 541435505, 752603852, 10305209, 196714962, 757429222, ( -1), ( -1), 744533108, 368829766, 60880212, 671882196, 969284111, 479713458, 91261890, ( -1), 74767679, 337880859, ( -1), ( -1), 126138032, 851535671, 885891140, 109112545, 199298713, 602160268, ( -1), ( -1), 979445806, ( -1), ( -1), ( -1), 271916094, ( -1), 344403080, ( -1), 443496296, 620839500, 219322265, 273227635, 593094943, ( -1), 430356660, 732536479, 196801203, 544822195, ( -1), 973242125, ( -1), 504131806, ( -1), ( -1), ( -1), ( -1), ( -1), 912497271, ( -1), ( -1), 874290351, 115558316, 214130985, 989071166, 354420155, 679327614, 992190999, 243048584, 621088916, 486303100, ( -1), 996696999, 320454626, 865469085, 402266321, 364678110, 270603729, 352166536, ( -1), 152054173, 72080408, 333450259, 590716581, ( -1), 2674953, 170074338, ( -1), 400743907, ( -1), ( -1), 616901129, ( -1), 823579099, 508580648, 275477977, 654532017, ( -1), 47120872, 543727344, ( -1), ( -1), 429906405, 847493913, 599833108, 865317535, 108010210, 722855982, 245699322, ( -1), 15738539, 347967984, ( -1), 943968411, ( -1), 624087237, 495455767, 84847673, ( -1), ( -1), ( -1), ( -1), 455708594, 638195939, ( -1), 295022027, 195807589, 540835200, 342577112, 265907046, ( -1), 848358696, 611214870, 477196496, 419154314, 289453989, ( -1), 81621659, 825699245, ( -1), 312879624, ( -1), 499833870, 205384251, ( -1), ( -1), 887367833, ( -1), 374326522, 349868252, 327308259, ( -1), 748746527, 993694974, 484249824, 772952538, 869792754, 533955799, 786421924, ( -1), 594845282, ( -1), 546373521, 843120369, 634740828, ( -1), 988172350, 680171896, 373027064, ( -1), ( -1), ( -1), 965784676, 148825250, 231194960, 869495277, 493417087, 979645696, 949643107, ( -1), 776812077, 38321877, ( -1), ( -1), ( -1), 874441106, 871259832, 330455090, 295576030, 681663241, 799781861, ( -1), 600819167, 623696087, ( -1), 201774817, 936021583, 79650965, ( -1), 853296036, 491563489, 769446428, ( -1), ( -1), ( -1), 833769918, ( -1), 679074960, 21600006, 848994224, 376460179, 290410211, 93650773, 237189773, ( -1), 324660332, ( -1), 320640842, 364923800, 558945783, 821911689, 956098559, 127915146, 623797781, ( -1), ( -1), 588009175, 328746209, 441712363, 107060926, ( -1), 791444012, 393396927, ( -1), 497853422, 506692420, ( -1), 315902057, 595441128, 738645295, ( -1), 31976045, 81299899, 964154082, 36981634, 336308539, 465478050, 304226284, ( -1), 249401959, 633938590, 261716504, ( -1), 568547760, 294051761, 80081555, ( -1), 652663227, 249734349, 758025277, ( -1), 551143935, ( -1), 288896835, ( -1), 541454725, ( -1), ( -1), 848136227, ( -1), 318252641, 627512631, ( -1), 784495332, 149471747, ( -1), 517510805, 823142002, 520329993, 140892397, ( -1), ( -1), ( -1), 384091141, 313826257, ( -1), 41172927, 817344043, 949636462, ( -1), ( -1), 876245559, 508716689, 841961480, ( -1), 536413816, ( -1), 679860931, 32754150, 637600372, ( -1), 953458587, 557822628, ( -1), 514518849, ( -1), 594620686, 413684486, ( -1), ( -1), 510179289, 647882719, 48716024, 851131590, ( -1), 440048992, 328283804, 269517011, 191336137, ( -1), 772403569, 797517699, 718515173, 757328206, 473254856, 735423234, 267217136, ( -1), 745228772, ( -1), ( -1), ( -1), 745382889, 37902461, ( -1), ( -1), 606924955, 138851050, 392766506, 443331171, 973989463, 205305409, ( -1), 570299712, 409691156, 979851280, 887142508, ( -1), 52731402, ( -1), ( -1), 697239780, ( -1), 332922354, ( -1), 189022010, 549893851, 98367999, ( -1), 413825785, 775454674, 505900739, ( -1), 563110586, ( -1), 242418291, 82108015, ( -1), 288446365, 174366414, 8902633, 988658104, 407073525, 544269306, 649019993, ( -1), ( -1), 974377693, 505982875, ( -1), 606182061, 343035160, 958351171, 216334498, 47104697, 645257802, ( -1), 580128046, ( -1), ( -1), 337183905, 243114568, 512425551, 742870138, 708669069, ( -1), ( -1), 450577822, 605837870, 299246930, 590005530, ( -1), 339130544, 557536832, 974421725, 208679866, 251443011, 847357401, ( -1), ( -1), ( -1), ( -1), 824350632, 46903486, ( -1), 931302826, 674834321, 601637418, ( -1), 329155298, ( -1), ( -1), 999797545, 791156244, 632572635, 807268000, ( -1), 800361795, ( -1), ( -1), ( -1), 175609400, 512083961, ( -1), 254693975, 246619855, 852863637, ( -1), 550190895, 982633213, ( -1), ( -1), 17597681, 354734182, 889464242, ( -1), 716432997, 341344920, 156265481, ( -1), 896020376, 874138444, ( -1), ( -1), 457051691, 312684347, ( -1), ( -1), 963121278, 877284756, 546989957, 494786188, 237643505, 1137150, 33004196, ( -1), ( -1), 642056765, ( -1), ( -1), ( -1), 805600829, 986294443, 128410570, 291667890, 401933858, 133986929, ( -1), 559537063, 943708666, 327846117, 74031821, 743610648, 542632729, 785051357, ( -1), 786608807, 193488964, 791782786, 169165986, 946595418, 929457280, 350789424, 875199680, 895867652, 288904485, 492646971, 600262900, 922225469, 373368051, 339848754, 385790767, 576177734, ( -1), ( -1), ( -1), 136390783, 294448033, 456207680, 292462210, ( -1), 394710097, 704669321, 980131891, 445254307, 750623482, 644007792, 432622343, 402817086, 423068937, 250137895, 961896261, 29809802, ( -1), 378122883, 275176630, 996647106, 29209943, ( -1), 781226634, 935726619, 161031694, ( -1), ( -1), 926164630, 551538681, ( -1), ( -1), 989341653, 87497897, 810886019, ( -1), 361025809, 860042730, 81806083, 214182203, 915226925, 683186820, 192444079, ( -1), 807060047, 996513914, 30169834, 710862497, 275744186, ( -1), 603064507, 389568547, 318576364, 724181096, 779128200, ( -1), 82713725, ( -1), ( -1), 884404896, 22368521, ( -1), 557273866, 930111713, ( -1), 321238615, 801464944, 245809768, 178892716, 896115490, 958280315, 79115715, 782357190, ( -1), 25527079, 674698676, 894801255, ( -1), 517506769, 262537186, 757396703, 390752410, 210586045, 522454407, 128160715, 764729248, 294103834, 71714463, 424882066, 136589292, 634999568, 15143522, 824542893, ( -1), ( -1), 106788310, 807604688, ( -1), 700256405, 106249307, 996439209, 624859933, ( -1), ( -1), ( -1), 23189427, 830401242, ( -1), ( -1), 893292259, ( -1), 769916691, 543407328, 219936411, 946708146, 930490718, 279527803, 255593958, 363794252, ( -1), ( -1), 362903573, 491806980, ( -1), 920223833, ( -1), 975210442, 854548958, 409650253, ( -1), 185559824, 583819025, ( -1), 343472725, ( -1), ( -1), 649010135, 373877686, 793530733, 355901448, 8870526, 246893338, ( -1), ( -1), 202502357, ( -1), 506638222, 85011274, 559177423, 736027123, ( -1), 79054749, ( -1), 329046474, 848382040, 918104265, ( -1), ( -1), 246862000, 324889879, 827494245, 527236928, 596169817, ( -1), 53695631, 89416210, 413848132, 966844403, ( -1), 619682617, ( -1), ( -1), 741980496, ( -1), 33106232, 462482466, 339222941, 768525941, 794799823, 552071141, ( -1), ( -1), ( -1), ( -1), ( -1), 995425886, 989012343, 761798051, ( -1), 154621160, 5018358, 600484264, 401503625, 720847440, ( -1), 231628199, ( -1), 475170019, 679329585, 778775765, 967689464, 342530707, 491280400, 889243685, 647625624, 453585029, 15280240, 926159047, 363138131, 644009075, 180545108, ( -1), 144432223, ( -1), ( -1), 982596338, ( -1), 364126130, 262966975, 367158646, 22653568, 987917508, 139481204, ( -1), 117633775, 597281461, ( -1), 309012746, 418006555, ( -1), 971699581, ( -1), 622758791, 210321089, ( -1), 417355625, ( -1), ( -1), 600756540, 595784934, 963548357, 698254704, 690661425, 976777924, 509196872, ( -1), ( -1), 885760964, 510637735, 985919471, 192825590, ( -1), 218476852, 9196598, ( -1), 23309874, ( -1), ( -1), ( -1), 846420667, 380957057, ( -1), 765534039, 303401357, 981200272, 781958693, 415108195, 534498904, 788744456, ( -1), 14968495, ( -1), ( -1), ( -1), ( -1), 447276645, 284906759, ( -1), 597019457, 850670294, 407314952, 21408102, 657779005, ( -1), 767067364, 36158749, 530033344, ( -1), ( -1), 951481959, ( -1), 258268637, 529041093, 865831674, 139666835, 961872416, 391841900, 609294801, 621370427, 383319698, 688634274, 95139654, 491456247, ( -1), ( -1), 684278440, ( -1), 229990232, 311997096, 91076576, 702994198, 347064450, ( -1), 179349226, ( -1), 282759068, ( -1), 659239666, 182054873, 914443245, ( -1), 258851444, 779531162, 763808597, 328413544, ( -1), ( -1), 964633495, 4134715, 334980367, 813693993, ( -1), 232150261, ( -1), ( -1), 633948663, 472084190, 824773370, 252057408, 792361445, 226604696, 931244504, 976124701, 481495523, 942120723, 787033215, 385433415, 210730749, 610973873, 885851342, ( -1), 612363400, ( -1), 31739032, 115441749, 214667701, ( -1), ( -1), ( -1), 291321299, 944884172, 724489822, 836121639, 939379703, 318780799, ( -1), ( -1), 180656577, 623039584, 632531675, 520232318, ( -1), 121876460, 831846335, 451343896, 607947466, 602386004, 206155913, ( -1), ( -1), ( -1), 926624387, 103115189, 758225071, ( -1), ( -1), 596280832, 918100147, 816173298, 557077520, 125005063, 370986859, 609620703, ( -1), 677410679, ( -1), 215097760, 154814309, 367980138, 923826239, 159781635, 87347174, ( -1), ( -1), ( -1), ( -1), 951718486, 290140261, 114546652, 710658659, 805256318, 512243857, 613260873, 29180450, 6835688, 534174376, 608700151, 105684965, 554387350, ( -1), 58468811, 472544344, ( -1), 23032666, 859755877, ( -1), 847858000, ( -1), ( -1), 543393001, ( -1), ( -1), 777994922, ( -1), ( -1), 160858328, ( -1), ( -1), ( -1), ( -1), 501317792, 43441581, 531538173, 986983231, 321510566, 970727350, 535615326, 243051356, 71265462, 765230386, 829180778, 471890552, 452050268, ( -1), ( -1), ( -1), 563729235, 706936367, 203349783, 927495350, 29076942, 849221912, 437580885, 416490130, ( -1), 808749973, ( -1), 300732132, 775906679, ( -1), 560369260, 820988610, 839621105, 547654305, 246148869, ( -1), 645903392, ( -1), ( -1), ( -1), 55909238, ( -1), 816821439, ( -1), ( -1), 479363348, ( -1), ( -1), 118787241, 701715591, 745890511, 291585399, 181772768, 356885589, 20565355, ( -1), 982387987, 947677275, 917930952, 807245209, ( -1), ( -1), 942172100, 944356579, 990714818, 4876439, 61467092, ( -1), ( -1), 212977798, 488122155, 592272659, 385536039, 662073555, 23040615, 801131494, 903079719, 770372907, 73150730, ( -1), 946001060, 547353431, ( -1), 70518828, 138681260, 945377820, 607383941, 755852699, 681400845, 238483124, 705585997, ( -1), 772931672, ( -1), 312424109, 860376054, 413653131, 295825263, 263109036, 448066775, 972344670, 956269294, 367177538, ( -1), 790305660, ( -1), 14590693, 185590443, 420841656, 763726197, 538453112, 523675243, ( -1), 62184839, 467117705, 160985579, 26207837, ( -1), 816837469, ( -1), 783078140, ( -1), ( -1), ( -1), 817111405, 544089074, 421689412, 988232027, 455740358, ( -1), 722818354, ( -1), 290063774, 204335387, 922568019, 837186979, 201985897, 571603177, 519185343, 393982135, 460100352, ( -1), 229728167, 619241269, 707518821, 882932544, 424578818, ( -1), 686716820, 49754280, 165404357, 306719156, 368951634, 392420355, 480540438, 768147423, 669826051, 103325774, 609258685, ( -1), ( -1), 931260814, 244957919, 568550469, 701574697, 567957555, ( -1), 130448960, 327692021, 301189262, ( -1), 838806374, 824991152, 254311590, ( -1), 514630932, 702977445, 979376464, ( -1), ( -1), 547205041, 883074374, 309780505, 612565116, ( -1), 891278436, 235102869, 335076411, 980352605, 160488652, 648484024, ( -1), 114830120, 154846770, 88169588, 545864101, 559064945, 726703309, 409412915, 204199300, 917896570, ( -1), ( -1), 819985667, 264917480, ( -1), 532243634, ( -1), ( -1), ( -1), 750541064, ( -1), ( -1), 2643864, 589909395, 221516211, ( -1), 367678554, 914662102, 688199285, 609733398, 219273255, 803595314, 12602852, 367032764, 63801611, 726185867, 642773994, ( -1), ( -1), 292500642, 534606419, ( -1), 466131472, 689304428, 461741275, 746825224, 806998849, 248183958, ( -1), 68503427, ( -1), ( -1), 628781987, ( -1), ( -1), 520886331, ( -1), ( -1), 649207424, ( -1), ( -1), 457906591, ( -1), 840954187, ( -1), ( -1), 378105648, ( -1), 610196126, ( -1), 551766608, 422159546, ( -1), ( -1), 329530276, 889007568, 586256764, 827006832, ( -1), ( -1), 727356207, 499202428, ( -1), 542806283, 111005104, ( -1), 737832644, ( -1), 746340541, ( -1), ( -1), 716784140, 452636114, 779474334, 587217141, ( -1), ( -1), 231392387, 811238685, 753457037, 611738242, ( -1), 221582092, ( -1), ( -1), ( -1), 906706043, 275990357, 667054997, 522593348, 453848056, ( -1), 288738104, 934796802, ( -1), ( -1), 562095020, 792978138, 35500920, 894743548, ( -1), ( -1), 163462088, 80060446, 950766159, 76902249, 919962690, ( -1), 62485834, ( -1), ( -1), 18328374, 799252993, 171139591, 806520025, 511229226, 311268141, ( -1), 25308899, 437306656, 31848490, 724777889, 143949033, 257475505, ( -1), 43840029, ( -1), 191483056, 472356183, 189196466, 338190380, ( -1), 8374487, 800330487, 382058353, 641466333, ( -1), 376946494, 952014954, ( -1), ( -1), ( -1), 675046336, 973233315, 423524564, 868477255, 321294939, 88218988, 108384818, 631182239, ( -1), 54124969, 214370040, 980673895, 726900207, ( -1), 109830741, 776847912, 742257898, ( -1), ( -1), 940861776, 258039049, 357700193, 771215649, ( -1), 343343439, ( -1), 826293621, 584489538, 751047347, 633157137, ( -1), 774323207, 883041366, ( -1), ( -1), 250815313, ( -1), ( -1), 661828016, 446928331, 625584498, 448619265, 422511505, ( -1), ( -1), ( -1), 391946412, ( -1), ( -1), ( -1), 916528540, 406525706, 738058368, 774991791, 517444022, 778113408, 969435727, ( -1), 279369039, 135385627, 329779635, 836783346, 108584148, ( -1), 561209442, 872223168, 596732735, 917787523, 719331555, ( -1), ( -1), 599259450, 538516305, 907793321, 217226788, 659202323, 660547408, 626766592, 421630917, ( -1), 994077282, 690331532, 169156993, 206895837, ( -1), 956419324, 993000263, 823065140, ( -1), 225506215, 901236162, 662311750, 498587476, 544754143, 464735638, ( -1), 371111232, ( -1), ( -1), 655208703, 705736063, ( -1), ( -1), 977666354, 839973439, 593258226, 945811473, ( -1), 134504930, 1383109, 159727204, ( -1), 354670815, ( -1), 794980429, 768350443, 484638955, 783538750, ( -1), ( -1), 769759582, 658389051, 635796093, ( -1), 750074797, 932673741, 586628088, 345325218, 866460458, ( -1), 81211362, 213451269, 35831449, ( -1), 429740525, 154557810, ( -1), 274290690, 59138397, ( -1), ( -1), 827351497, 287205775, 535660651, ( -1), 567493559, ( -1), ( -1), 641266054, 498227049, ( -1), 262004830, 234074943, ( -1), ( -1), 930485623, 735627137, 893372332, ( -1), 47190514, 564569872, 763400635, 931206205, 628426054, 537762023, 269355885, 982410842, 370435527, 333236625, ( -1), ( -1), 562725198, 380361712, ( -1), 491372640, 503156775, 984358382, 381972792, 940252599, ( -1), ( -1), 327173097, ( -1), 921865243, 308910854, ( -1), 528926809, 127289166, 95561145, 268783117, 57306572, 715228948, ( -1), 760227568, ( -1), 92275924, 627954932, ( -1), 487136067, ( -1), ( -1), 888155958, 494310010, ( -1), 532964137, ( -1), 927067617, 316654434, ( -1), 855575272, 675062970, 352526336, ( -1), 907643991, 448628850, 108175162, 645272878, ( -1), 255091542, 534783679, 738351629, 81543983, 491836557, ( -1), ( -1), 128024686, 519662053, ( -1), 274834264, 733890545, 319196450, ( -1), 933016444, ( -1), 987153686, ( -1), 51454822, 67401300, 997303481, 153392747, 69275992, ( -1), 524120250, ( -1), 855473677, ( -1), 274373564, ( -1), ( -1), 177932790, 565268417, 523379060, 900621039, 989087196, 348424508, 438872469, 209724640, 93376561, 578591839, 438819876, 382404385, 467015391, 818023863, 804658816, 509295953, 815418469, 799043009, 636746934, 865300500, ( -1), ( -1), ( -1), 357805041, 393392318, 570629479, 595252380, ( -1), 111708235, 892970875, 717812009, ( -1), ( -1), 615293926, 237328332, 653452207, 515816567, 388727746, 432763776, ( -1), 117330117, 355943270, 986528514, 36298365, 64712388, 231755730, 380367188, 134472686, ( -1), 904215097, ( -1), 655267274, 383243452, 580693640, ( -1), ( -1), ( -1), 159667917, 570157842, 438656169, 59633328, 527669405, 966842097, ( -1), ( -1), 675784208, 588723205, 45430080, ( -1), 83405929, ( -1), 507119150, 757120667, ( -1), 62761207, 85808331, 846175, ( -1), 677534886, 455080237, 936016301, 491803744, ( -1), 890536808, 487006305, 452278344, 481751197, ( -1), ( -1), 49955660, 965353689, 579614369, 165090535, 608339010, ( -1), 656498524, 907994422, ( -1), 478306037, 425332610, ( -1), 719250328, ( -1), ( -1), 237580318, 418711161, ( -1), 514203335, 654810741, 931455562, 38882477, 109499481, 545252804, ( -1), ( -1), 768672785, 782191159, 2798817, ( -1), 682282832, 13557117, 808707750, 63905834, ( -1), 190425146, 25526145, 855085215, ( -1), 859549055, 910804025, ( -1), ( -1), 768593280, 725537402, 397077923, ( -1), ( -1), 530911409, ( -1), ( -1), 283921023, 41332538, 315002015, ( -1), 30996679, 649344290, 269871508, 699821627, 29779739, 100575035, 543434030, 336401350, 113626397, ( -1), ( -1), 307214006, 179929706, 742648563, 583229981, 368655869, ( -1), 189663076, 858178645, 782792103, 894047754, 685439155, ( -1), ( -1), 527339376, 39392321, 989006711, ( -1), ( -1), ( -1), 639612072, 685272461, 970151797, 310713911, 437935166, 253799844, ( -1), 534831773, 861482747, 204192447, 416335497, ( -1), 288794196, ( -1), 867126930, 940703855, 733746806, 568241757, 51985595, 306231769, 27833123, 39092966, 608641446, ( -1), 396827030, 816028663, 175933082, 820693627, 927723743, ( -1), 780849685, 251857286, 183434176, ( -1), 273299383, 15300346, 152244426, 426926869, ( -1), 399753351, ( -1), 369668379, 820033217, ( -1), ( -1), 750251914, 300686204, ( -1), ( -1), 572821668, 399432313, 670980207, ( -1), 564175047, ( -1), 776461158, ( -1), ( -1), 286752595, ( -1), 968349918, 938998990, 11138950, ( -1), 336558986, 858367840, 231772499, 965285648, 105481004, 181489101, 514079127, 313943666, ( -1), 326925971, 1976315, ( -1), 216570773, 901466534, 920230622, 629945937, 574848056, 174370718, 887791385, 556812240, 202819244, 668804467, 157021155, ( -1), 189465897, 114104648, 730006226, 870256473, 468315454, 854699069, 158428316, 474791927, 601093803, 457698042, ( -1), 580047775, ( -1), 973429199, 940805073, ( -1), 435872074, 186860521, 163411010, 390452241, 887707303, 279824276, ( -1), 404648086, 943320339, 328767407, 26144156, ( -1), 793926289, 360062846, 880265616, 47410789, 270417327, 840489187, 443546053, 75163917, 969295203, ( -1), 498624154, ( -1), 910238906, 252790674, 434259725, 704068919, ( -1), ( -1), 402226110, 8491426, ( -1), 98712479, 965741301, ( -1), 263613313, 375858536, 782714213, 390752914, 761619817, 836410903, ( -1), 642862371, 865171666, 278088664, 941334599, 317998404, ( -1), 2503254, 584251691, ( -1), 855126879, 716484796, 88435767, 404740311, 747077303, ( -1), 620644039, ( -1), 234377759, 719955716, 645429055, ( -1), ( -1), 848549866, ( -1), ( -1), 318850683, 567747775, 736431796, 958510795, ( -1), 582407501, 262320102, 399142170, 179827907, 922559519, 876660327, 105848610, 308011442, 436960684, 667902208, ( -1), ( -1), 176292780, 640733372, ( -1), 23327603, 489395578, 504773427, ( -1), ( -1), ( -1), ( -1), 704548116, 744845839, 472494259, 844950171, 304016588, ( -1), 702949297, 897938411, 229541476, 854212619, 593298189, ( -1), 784088479, ( -1), 695074586, 283319789, 314149107, 482267314, 673252587, ( -1), 652388721, ( -1), 174975571, 334210950, 853372357, 912732254, 506408283, ( -1), 770375584, 612182585, 487330015, 999147963, ( -1), ( -1), 581811539, 321735911, 51778141, 769402279, 348355690, 709147724, ( -1), 305809875, 702913112, ( -1), ( -1), ( -1), 872330937, 134841792, 928891309, 53813606, 113985605, 553982829, 622487936, 403657328, ( -1), 157212796, 382677366, 121201765, ( -1), ( -1), 581008983, 642663164, 752144196, 368046672, 626614174, 578847712, 718733615, ( -1), 58532180, 885370077, ( -1), ( -1), ( -1), ( -1), 921162896, 186356617, ( -1), 966191534, 218900535, 456564286, 295228558, 330047591, 540604330, 521312537, ( -1), 678712501, 545018399, 885875377, 847957550, 831927878, 986037707, 957387750, ( -1), 721461328, 393384152, 746154979, ( -1), 206793750, 873604257, ( -1), 327792678, ( -1), 995636124, 759705716, ( -1), 886544584, ( -1), ( -1), 941354750, 209419836, 277206267, 269667868, ( -1), ( -1), 453002639, ( -1), 592588576, 345666876, ( -1), ( -1), ( -1), 415760347, ( -1), 970129982, ( -1), 686077299, ( -1), 845269617, 94770331, 514039672, 386394522, 527256170, ( -1), ( -1), 929439083, ( -1), 481090154, 810745306, ( -1), 85459314, 939789770, 905027671, 757900682, ( -1), 89176505, 676531008, 148884534, ( -1), 479916017, 910232631, ( -1), 473226225, 298163843, 96937470, ( -1), 123438732, 496612174, ( -1), 7685763, 128928430, 103782495, 538838661, 691357211, 590667098, ( -1), ( -1), 184512378, ( -1), 446417436, 902615070, 681122196, 857809335, 756135775, 6788865, 205347521, 925269994, ( -1), 24942009, 623490454, ( -1), 805245118, 803512027, 251449835, 150168127, ( -1), 783266199, 464279941, 223497666, ( -1), 893763443, 26713354, 448214251, ( -1), ( -1), 53168401, 279242553, 744649343, 67659476, 499545011, 979643385, 618814706, ( -1), 845015027, ( -1), 461168627, ( -1), 416094756, 548828641, 324773551, ( -1), 43140399, 829701606, 125702840, 542416494, ( -1), 191863460, 884867832, 128522074, ( -1), 296166298, ( -1), 931128921, 433581372, ( -1), ( -1), 503084780, 125277430, 736948764, ( -1), 333940804, 729334145, 752749393, 715942333, ( -1), 561596694, ( -1), ( -1), 95325017, 588370790, 646008055, 411019778, 59363951, ( -1), ( -1), 551358772, 239858240, 334872800, 57769379, 966059859, ( -1), 21859134, 561545344, 933256360, ( -1), 403920624, ( -1), 232794928, 260549345, 152583524, ( -1), 811604394, 936445503, 318713740, 531165030, 661050426, 788906375, 412195573, ( -1), 840148527, 29470984, 680325350, 555971189, ( -1), 688796859, 186917447, 121973180, 409232591, 336966599, 362197084, 721368352, ( -1), 115715890, ( -1), 264816599, 240911272, 257973985, 518130833, 165871320, 733397641, 909092653, 283983117, 222197396, 149351046, ( -1), 489248377, 125551655, 749850855, 594429581, 223225012, 719487940, 503248601, 963785347, ( -1), ( -1), 518902099, ( -1), 201812994, 974766857, 217903643, ( -1), 39635384, 500012120, 244523885, ( -1), 777472001, 160526431, 146731003, 828212420, ( -1), 41891370, ( -1), 788012622, 262135203, ( -1), 206553207, 333397844, 243470221, 715671945, 761123498, 550756247, 181874158, 179098779, 988794797, ( -1), 581040839, 213126277, 467912543, 252440852, 327210367, ( -1), ( -1), 943537708, 771406987, 857249150, 448546316, 821598026, ( -1), ( -1), 100566511, 657743606, ( -1), ( -1), 490571865, 351419460, ( -1), 4679835, 485644311, 437292368, 705654670, 137955521, 701128479, 645475203, ( -1), 62109815, ( -1), 171787796, 917051571, ( -1), 412554167, ( -1), ( -1), 574322537, 271809007, 556301550, 184889689, ( -1), 936555798, 534890323, ( -1), ( -1), ( -1), 852347552, 426809291, 988887067, 16631739, ( -1), 477205525, 395532196, ( -1), 569013247, 671837974, ( -1), 665139894, ( -1), 529677809, 827090471, 165699148, 747689920, 267828505, 182059443, 412554369, ( -1), 818490008, 100635494, 699665045, 566954769, 444198195, 498421109, ( -1), 307408060, 167849027, ( -1), 657235586, 318235564, 44187605, ( -1), 407206911, 839236639, ( -1), 773209121, 645591339, ( -1), ( -1), ( -1), 965622507, 693233686, ( -1), ( -1), 31735325, 319376908, 701183182, ( -1), ( -1), 416313430, 520129563, 234158889, ( -1), ( -1), ( -1), 166756686, 352471486, 140503670, 456709063, 829254009, 1664292, 185726638, 832687268, ( -1), ( -1), 280664379, ( -1), 335064542, ( -1), 239254845, 959249093, ( -1), 764598485, 232643059, 301621703, 772458361, ( -1), 133481168, 156340268, 933046209, ( -1), 68578274, ( -1), 539951517, ( -1), 151339210, ( -1), 199078994, 138478473, 919615029, 183827311, 856414742, ( -1), 617563518, 905375371, 113111782, 30674589, 643890176, 713730183, ( -1), 175422509, 931007629, 835445207, 197547092, 41855946, 144912680, 529760962, ( -1), ( -1), ( -1), 319497388, ( -1), 204953705, 61158200, 870118204, ( -1), 248208677, ( -1), 555999269, 130553788, 977266274, 310289582, 143312155, 819819244, 189629998, 703305149, 921608872, 488471399, 494054974, 744997662, ( -1), 569365364, 347950199, 388045690, ( -1), 531296119, 360561565, 278119954, 152942602, ( -1), 159956225, 978722154, 312842346, 898614603, 180131851, ( -1), 550311618, ( -1), 545937425, 565288720, 612648091, 497971046, 921468447, 315594674, 650795364, ( -1), 351060408, 336198155, ( -1), 668248911, 96231688, ( -1), ( -1), 201155912, 362902866, ( -1), 383061779, ( -1), 477224642, 399816466, ( -1), ( -1), ( -1), 956569678, 353346054, ( -1), ( -1), 54826934, ( -1), 902219293, ( -1), 577766173, 475303684, 635409304, ( -1), 407363892, ( -1), 390394575, 452380900, 839240619, 903364079, 545819561, 399220967, 260918695, 947076591, 772347821, 282143633, 298381032, 149817905, 633550891, ( -1), 152120508, 638517941, 895163746, 944321562, ( -1), 379015608, 813032882, ( -1), 344324506, 681565494, 495621625, 27196696, 982432956, ( -1), 602161839, ( -1), ( -1), 214493139, ( -1), 350537456, 322941473, ( -1), 848038511, 47690573, 725279909, 854960988, 795082949, 160708163, 154678856, ( -1), 199711973, 861760536, 212488261, 643694496, ( -1), ( -1), 708629481, ( -1), 883731931, 398969580, 832149775, ( -1), 778385129, 689068913, 267209038, 988998524, ( -1), 376621795, 783729866, ( -1), 783510055, 757106836, 626821295, 434793761, 190818386, 879678354, ( -1), ( -1), ( -1), ( -1), 460735815, 880836639, 157162155, ( -1), ( -1), 409140366, 541621299, 325368134, ( -1), ( -1), ( -1), ( -1), 399133311, ( -1), 882746342, ( -1), ( -1), 766302134, ( -1), ( -1), 247125666, ( -1), 638648698, 282002704, 205199552, 292885185, 161486323, ( -1), 600843837, 964728642, 932053184, 185890649, 709899735, ( -1), 997065115, 625452383, 863445779, ( -1), 602424068, 122184435, ( -1), 877027079, 563329628, ( -1), 779400190, 124735243, 614562986, 408353923, 692057473, ( -1), 188669614, 739208416, 365185891, 951549201, 12661408, ( -1), ( -1), 685838236, ( -1), ( -1), 641605422, ( -1), 740416926, 90742876, 23118029, 308217882, 327145933, 502877368, 280266830, 45500568, 459671821, 547318007, 455063068, 40688569, 798026699, 732253533, 316969499, 690836853, 311627165, 639683380, ( -1), ( -1), 57149000, ( -1), 391802191, 508408986, ( -1), ( -1), 12893120, 994635195, 646755781, ( -1), 33031118, 43986814, 618765976, 194215236, 846211664, 467868121, 822217410, 360147440, 478729017, 724395651, ( -1), 209431499, 186706242, 908942523, 755485748, ( -1), 503700366, 344498481, 155246648, 495998560, ( -1), 477545326, 694217361, 706303566, 734411675, 751852212, ( -1), 446559495, 799593463, 987439708, 417652523, 201617302, ( -1), 824889565, 622566726, ( -1), 658735314, 830329640, 924090245, 69930892, ( -1), 290490340, ( -1), ( -1), 581435115, 823769293, 200731047, 386963943, 151469819, 126784707, 391603295, 574715024, 90829866, 561127733, 846895127, ( -1), 928382861, 457111862, ( -1), 268973282, 864820246, 959300750, 415744693, 247096743, 320154528, 911994671, 545820610, 804302729, 378604153, 814646604, 728304524, ( -1), 281267597, ( -1), ( -1), 963154615, 439628061, ( -1), ( -1), 65478529, 430437751, 856721872, 101415591, 529493103, 871929150, ( -1), 886851222, ( -1), 417001327, 129470237, ( -1), ( -1), ( -1), 317198017, 494719945, 721223509, 303382612, 285333048, 27624928, 955726942, 286312630, ( -1), 736552679, 243492534, 768696606, 149962560, 91005120, 839682280, 725576500, ( -1), 485565342, 160988848, ( -1), 253576909, 691906613, 917120437, 613506545, 699058024, 433477564, 394136122, ( -1), ( -1), ( -1), 763140545, 215426533, 862530777, ( -1), ( -1), 619078911, 885194712, ( -1), 956051004, 175582621, 808531839, ( -1), 879559570, 73090137, 724561782, ( -1), 428025104, ( -1), ( -1), 845150899, ( -1), ( -1), ( -1), 813575182, ( -1), 968163533, ( -1), 713499236, 706119822, ( -1), 582760582, 876067227, 402540468, 767443105, 550771486, 319222358, 259626614, 236974914, 820480369, 610188315, 201856373, ( -1), ( -1), 187166142, 467771349, ( -1), 788407036, 874077011, ( -1), 216070842, 567729502, 913979252, 944471921, ( -1), 963607909, 753361737, 801379336, ( -1), 93709898, 987328282, 124065232, 987213982, 894799100, 630877166, ( -1), 357362558, 742654778, 54368796, ( -1), ( -1), 818170521, 143319055, 69872738, 399244618, 608963287, ( -1), 479029440, 619948468, 780709848, 704788284, ( -1), 413144516, 7090505, 982355177, 230735439, 826106008, 895327030, ( -1), ( -1), 32981934, 812102108, ( -1), 426922544, 336136553, 839268317, 669263130, 444089649, ( -1), ( -1), 845816714, 419426503, 78791919, 205507278, 339225095, 898364573, 805637220, 647802300, 300366559, 768057026, 51301059, ( -1), 664212566, ( -1), ( -1), 456994285, 708059884, 463721278, ( -1), ( -1), ( -1), ( -1), 653258896, 353173457, ( -1), ( -1), ( -1), ( -1), 590799636, 305188620, ( -1), 172027401, ( -1), 683734994, 543359392, ( -1), ( -1), 349076740, 148269007, 877954625, ( -1), 53659363, 762748424, 60724954, 968937476, ( -1), 241372806, ( -1), 596816057, 826277418, 503172358, 209237501, 782008488, 803958155, 499122747, 801331887, 865867972, ( -1), 56603532, 271691928, ( -1), 240837873, ( -1), ( -1), 63524185, ( -1), 370789721, 181902309, 557152143, 984557280, ( -1), 279947589, ( -1), ( -1), 966711171, 359063592, 146397981, ( -1), ( -1), 455423562, 12130194, 714411532, 623007342, 404534758, 313078580, 529141264, 463184632, ( -1), 587687039, 565693099, ( -1), 393016401, 604772568, 580875775, 341694895, 364895886, 725944493, 943054409, 360954637, ( -1), 507667885, 381227609, ( -1), ( -1), 14800395, 291911412, 487963197, 477683993, 772601836, 543998876, 799668826, 535360018, 303671465, 96079665, 471460497, 820270808, ( -1), ( -1), ( -1), 839750001, ( -1), 320192426, 499042892, 861693267, 853183486, ( -1), 895185671, 470972268, 392129012, 167370602, 774580986, 809997152, 889425847, ( -1), ( -1), 606907551, 149111328, 324049426, ( -1), 323864967, 691123973, 188684005, 934966079, ( -1), 954267073, ( -1), 52767537, ( -1), 616486365, 172856928, 224899029, 566650395, ( -1), 851401659, ( -1), ( -1), 507690926, 909814681, 928815211, 176175105, 926738741, 553352069, 822327758, 937787843, 962065837, 652815911, ( -1), ( -1), 975532912, 492252106, 138868126, 479369049, 41971240, ( -1), 426105357, 246386059, ( -1), ( -1), 287824906, 724305330, 499214011, 83624028, 623351873, 290791492, ( -1), 806460921, 872866358, 200356784, 911943395, 956245248, 560593284, 891024613, 236301638, 417861892, 508347879, ( -1), 321692404, 904495382, ( -1), ( -1), ( -1), 114998800, 488043385, 209018162, 101733723, 403542542, ( -1), 799294329, 195219455, ( -1), 706786990, 284848147, 451259260, ( -1), ( -1), ( -1), 186862769, 77197401, 409721248, 988393850, 795383813, ( -1), ( -1), 670507894, 561257519, 568424499, ( -1), 190869522, 502630920, 314050855, 509486224, 904450428, 642715374, 450605032, 379246897, 147538416, 495209397, 633249264, 715604625, 519690821, 893720759, ( -1), ( -1), 628426624, 118875693, 114198275, 325235020, ( -1), 428401019, ( -1), 593750152, 336638578, 679936305, ( -1), 292187265, 829066168, 56953415, ( -1), 981232244, 283516962, 671739530, 189539620, 902492255, 685843826, 819696520, ( -1), ( -1), ( -1), ( -1), 638505712, ( -1), 289972478, 893569675, ( -1), ( -1), 265511587, 964011943, 184204161, 312116791, 845974367, 707283317, 593528314, 576714007, 241154524, 108531767, ( -1), 420837053, 251046314, ( -1), 433752792, ( -1), 927266009, 250524765, 393445630, 261812836, 664806183, 786621376, 789083335, 530371634, 839321540, 832032011, 631179811, 680133418, 99982545, 390433042, 970916097, 632230004, 516130242, ( -1), 501577197, ( -1), 964828850, 136739418, ( -1), ( -1), 774475726, 81586267, 348624911, ( -1), 742580808, ( -1), 946088577, 860932380, 971646666, 642577136, 269113030, ( -1), 694690483, 792892864, 589859365, 755797198, 103766787, 276934974, ( -1), 701575363, 880443044, ( -1), 554611852, 3270254, 895799227, ( -1), 672151482, 216230511, 654927391, 158576102, 195555808, 273318474, 820668198, 119294822, ( -1), 692079799, 956684469, 18917875, 581922981, ( -1), 540383523, 629368220, 420424093, ( -1), 813830449, ( -1), 321350315, 46113213, ( -1), 205976182, 980566697, 73783584, ( -1), 163228588, ( -1), 763691535, 132007765, 801696577, 454563747, 893555232, 761299483, 413306112, 895693795, ( -1), 763956824, 784160481, ( -1), ( -1), ( -1), 330608300, ( -1), ( -1), 537458962, ( -1), 777412650, 662222687, ( -1), 838878898, 754175377, 568202528, 978507336, 330262448, 416796850, ( -1), 759984802, 342653209, ( -1), 449760716, ( -1), 531634188, 847287107])," 994699448 (minDifference [19705162, 978315258, 681412196, 796339631, 910006879, 610054520, 646881330, 996060264, 14516640, 653539170, -1, -1, 814043832, 434805051, 727817308, 771688379, 837579598, 280321219, 542338790, 315779327, 742647586, 914355330, -1, -1, 505312403, -1, 208878885, -1, 823720052, -1, 568897036, 131189110, -1, 327425120, 894236587, 959157133, 86000194, 833382354, 434822518, 277503152, 163884446, 150336342, 352774822, 49235388, -1, -1, 200029141, 345751397, 128782935, 657617560, -1, 452111817, 744251792, 693143517, -1, 730132181, 986449000, 531731757, -1, -1, -1, 802817437, 37077705, 671697399, -1, 811897802, 131173817, 386923395, -1, -1, 989655375, -1, -1, -1, -1, 842339765, 441690429, 195718986, -1, 345384754, 890391841, 488483515, 361103133, 478930957, 743872720, -1, -1, 682944318, 28081480, 142685777, 837309080, 758842875, -1, 472813125, 985484029, 394460130, 852927605, 640332836, 425086565, 643357746, 194210816, -1, 797972291, 635574728, -1, 795318937, 591799821, -1, -1, -1, 242810527, 108525526, 703129455, 330761470, 255282513, -1, 562783124, 2955360, -1, -1, 38631420, 84837397, 3717924, 151077948, 399505014, 252335942, -1, 118004561, -1, 515751299, -1, 448238252, 5261404, -1, 163961637, 35826879, 741138610, 387440008, 38563524, 109181227, -1, -1, 5559595, 34720676, 980840203, 43564490, 46926659, 166903961, -1, 790690223, -1, 894664776, 750786156, 909892879, 566690544, -1, 608138846, -1, -1, 135751019, 114644941, 588184098, 347313748, 894318989, 601594802, 589675171, 414528186, 883830314, 487535088, 540246, -1, 612249900, 187053211, 654944948, 967459365, 636522387, -1, 861815372, 957014353, 206577759, -1, 373345129, 787031711, -1, 8385032, 720699280, 920448211, -1, 488129838, 269551479, 656986582, 884698170, 253458095, 557717685, 149921459, -1, 304737800, 407029277, -1, 947309890, 516506677, 497104048, 966590096, 978681142, 667611237, 393890247, 39414728, -1, 951938879, -1, 968710556, -1, 954193892, 909646505, 412361070, 122023302, 553735666, -1, 477975571, 975721923, 701800166, 38251432, 773740478, 703957907, -1, 381719889, 534984695, 19966173, 450454058, 77896505, 405303845, 749750730, 92538181, 667524631, 342693684, 433062051, 479064771, 336109216, 449860028, 261126136, -1, 333602993, -1, 366621156, 974428544, 89544279, 240716231, 167747483, -1, 165300295, 649483658, 708507366, 502213425, -1, -1, -1, 607809149, 415033310, 72643656, -1, 40358697, -1, -1, -1, 301205031, 556420928, -1, 671549543, 986377063, -1, 378450234, -1, 605562161, 36809691, -1, 72128388, 760224688, -1, 487306061, 636311123, 434959845, -1, 354241306, -1, -1, 810476617, 847358624, 521132031, 460888718, 210789165, 499308961, 305454636, 363755409, 913208224, -1, 389154172, 749519961, 631194468, 598817974, -1, -1, 315574400, 905703149, 732023914, -1, 713561319, -1, 565582225, 50596363, 150722671, 481063821, 152372389, 265196672, -1, -1, 152726456, 415048143, -1, 17564609, 446349234, 390561866, 209395568, 839750156, 841454109, 579973990, 899347986, -1, -1, 911396027, 241511121, -1, 452980092, -1, 623807803, 178836576, -1, 203930867, -1, 439795036, -1, 484019706, 501006780, 873134798, -1, 771171284, 150799301, 409049924, 558428596, 376304622, 980208953, -1, -1, 231258720, 972806869, -1, 15430318, 123575232, 6803917, 400091796, -1, -1, 667167069, 487721663, 123063818, 929017392, 646189406, 882458313, 791154829, -1, -1, 740532140, -1, 475055286, 912435816, 330676200, -1, -1, 756388714, 166097074, 435684087, 823232877, 331189646, -1, 899529403, -1, -1, -1, 892326013, 214271494, 358800090, 791703546, 409615302, 796271455, 190473146, -1, 892672034, -1, -1, -1, 249695387, 530231449, 740635308, -1, -1, 323420079, 157892469, -1, 110094286, 10101300, -1, 411390602, -1, 40071757, -1, -1, 157879669, 597607191, 995994567, -1, -1, 429747959, 690917544, 266815959, -1, 338007395, 960120531, -1, 155889861, 54048599, 550580240, -1, 548199967, -1, 996059670, 472607885, 534234739, 816477840, 492077484, 788067243, 63425, 579189437, 633709329, -1, 715862761, 716398840, 92938093, 602321124, 977760849, 223295761, -1, 960532818, 735981812, -1, 941953057, 895903398, 586266550, -1, 250400863, -1, 181452834, 391948867, 643136020, -1, 507880771, 858487739, 832556516, 541333386, 349987591, -1, 196817571, -1, -1, 650656962, 324372243, -1, 560407818, 80845745, 723760420, -1, 103075725, -1, -1, 841506059, 133084587, -1, 478222047, 863444877, -1, -1, -1, 693948682, -1, 556507345, 867322250, 558702732, 25235102, 46811031, 59470101, -1, 678976410, 177099205, 760980640, 5164227, -1, -1, 720893183, 49689581, 823148115, 468814406, 377629318, 117863126, 555576102, 816462595, 553166328, 278929542, 762931997, 192099924, 440526219, 479422152, 569257384, 711570372, 801824936, -1, 42412672, 1123646, 922397939, -1, 644262621, -1, 111407630, 945017725, 81997611, 94268670, 740635413, 600488191, 679009455, -1, 204783346, 139262395, 518013226, 131379639, 330033750, -1, -1, -1, -1, 545729458, 177599370, 293948551, -1, 833908526, 491888628, 117582124, 993467610, -1, -1, -1, -1, 997333766, 847031761, 134679440, 76669517, 356134158, 310980491, 319023169, 662425639, 513599008, -1, 319275653, 377451096, 616259690, 36014514, 277691555, -1, 156599069, 593490432, 142092634, -1, 758014318, -1, -1, 197324381, 441077386, -1, -1, 799425867, 294097190, 254018202, 879002964, 758220294, 476414045, -1, 923165797, 907826015, 831071599, -1, 436046335, -1, 777332415, -1, -1, 426859585, -1, 193717875, -1, 808411673, 411145529, -1, 984321558, -1, 413422721, 386772464, 731134718, -1, 872857309, 395721506, -1, 220141604, -1, -1, 258570118, 406043392, -1, 390133771, -1, 83496142, 701742656, 446336870, 703508840, 936477513, 132450714, -1, -1, -1, 670255460, 236888370, -1, -1, 739255345, 154753233, 699365251, -1, 230975719, -1, -1, 477961216, -1, -1, 368510507, 317411904, 318842286, 459585543, -1, 700903229, 563812953, 50841606, 656791129, 710160748, 754883235, 132823386, 195208562, 743452022, 671344030, 161863314, -1, 842851637, 229265049, -1, 388136150, 775489206, 619581593, 269909601, 1331195, -1, -1, 921921159, -1, 410417913, 160392237, 280688394, -1, 41843836, -1, 340937803, -1, 268219401, 16258913, 343614420, 667368853, 524148142, 848074559, 946853768, 891074077, 501011430, 478887185, 530922692, 866624393, -1, 320461155, 425418553, -1, 734809378, -1, -1, -1, 518271819, 642230996, 993503757, -1, 435988275, 292371592, -1, 856039424, 169414747, 398539720, -1, 31251059, 584374738, 564835438, 606310210, 102017052, 426297838, 699740532, 339277509, 764472611, 542247868, -1, 575915178, 497855510, 592723759, 113593561, -1, 36902057, -1, 129098555, 713535835, 251264431, 207639601, -1, 757649957, -1, 851272125, -1, 135451950, -1, 270443171, 327133863, -1, 653072440, 473207618, 651600280, 691932678, 141187929, 696688252, -1, 49723051, 722709149, -1, -1, 202922345, 873271427, -1, -1, 36639085, 683443160, 83099885, 543985834, 615167734, 832812086, 7797532, 39856916, 747146330, -1, -1, -1, -1, 593377405, 820565652, -1, 451705725, -1, 858136614, -1, 606492238, 616897758, -1, -1, -1, 383077348, 571356456, -1, 354151607, 636375628, 583510195, 78994640, 420494598, -1, 994366270, 986924953, -1, 160296138, 799173616, 888176848, 36523579, -1, 46992328, 797459224, 356181689, -1, -1, -1, 47487881, 223388755, 635824862, 361299851, 367446754, -1, -1, 780955510, 106954864, 422418832, 981736062, -1, 395506218, -1, 777119217, -1, 320899322, -1, 242506055, 768471468, 131223662, 523970455, 521215003, -1, -1, 307899408, 990660387, 891189834, 562550904, 24378563, 938903294, -1, 802471416, 605970643, 263490468, 539387075, -1, -1, -1, 370121446, 479462529, 471273021, 647387359, 957202857, 986520052, 538891956, 948127123, -1, 260231434, 61789089, 352476870, 51873971, 913375599, -1, 918174343, 302711169, 645906796, 403066422, -1, 768618665, -1, 537514118, 700465284, -1, 233248385, 57292723, -1, -1, 349839250, 53130418, 799788538, 190268554, 453980051, 965971867, 179056507, -1, 344180212, 546882891, -1, -1, 624290742, 219069754, 959973033, 413775369, -1, 396707066, -1, 834242807, -1, 349131602, 891703951, -1, -1, -1, -1, 342320943, -1, -1, -1, -1, 257437610, 110216242, -1, 912486916, 293264769, 979090754, 130991541, 158519833, 724068782, -1, 853323417, 966725575, 36195208, 274011345, -1, 498953252, 226037799, 736724190, 53723768, -1, -1, -1, 165249992, -1, 840348404, 697307140, 433278733, 569469757, 339548215, 158214408, 301853832, 859867411, 597996472, 693997489, 27006202, 947685810, -1, 194181161, 749669458, 589357107, 848982760, 186931065, 636906136, -1, 634836246, 917756424, 601872533, 748938445, 811365992, 638301100, -1, -1, 255797230, 512113054, 965752202, -1, 581443272, 484204849, 519811599, 861950160, 502821170, 961342774, 581531460, -1, 131764821, 708736982, -1, -1, 884012448, 341415751, 631645012, 585321583, 390448367, 733142369, 281180710, 739352925, -1, 375977207, 271738336, 935453196, -1, 734181110, 290145392, -1, 787008732, 902530583, 654026725, 522818514, -1, 450863900, 595620059, 547153245, 365917304, 12891558, 445370918, -1, 2913491, 173225355, -1, 592671236, 476895453, 210311572, 183873223, 19180432, 469589230, 920034411, 302881152, -1, 328091922, 538562411, 695091697, -1, 566997115, -1, -1, -1, -1, -1, 284273141, 41394734, -1, 784974307, 900077489, 386481857, -1, 972661542, -1, 210565038, 18378606, -1, 78802452, 157611801, 786236945, 498201519, 400500720, 5552783, -1, -1, 646078811, 615002412, -1, 199121523, -1, 141928894, 568409777, 167195056, -1, 301235294, -1, 904800937, 354949624, 609167894, 661075971, 170449751, -1, 435185426, 813571240, 53470201, 727829911, -1, -1, 913509977, -1, 288032523, 799033199, 703022884, 263430016, 768919801, 972724626, -1, 17870628, 330225440, 49288208, 267026730, -1, 647575062, 201740808, 879242309, 760331205, 153429261, -1, 666023798, 859127856, 839995356, -1, 490044827, 371961975, 870799881, -1, -1, 330962963, 827246501, -1, 47513719, 132823509, 797449461, 265172390, 338076199, -1, 116345235, 441956686, 651208080, 121758165, 344158303, 733062570, 270843455, 92717399, 783858599, -1, 284960945, -1, 617072185, 631361444, 556176399, 859126256, 685252804, -1, 823792762, -1, -1, -1, 450260487, -1, 384054788, 394157489, 416069464, -1, 940571036, 165971771, -1, 964188728, 458750628, 521238405, 726902227, 611990853, -1, 710612926, 380258456, -1, 358426525, -1, -1, 489517146, 214695836, -1, 63363728, 539691260, -1, -1, -1, 641069274, 452622178, 533399383, 235811935, 624207709, -1, 243832250, 332958124, 446544912, 138090476, -1, 291177485, 697431884, 258969124, 211217632, 160568039, 80770599, 942336130, 737194257, 620201131, 570916718, -1, -1, 141619376, 971696855, 505322280, 972072683, 397571498, 510614674, 693066431, 305514778, -1, 9636447, 794960863, 926283840, 876675363, -1, -1, 697054846, -1, 588040669, 350698275, -1, 412061005, 653246460, 829114216, 666219253, -1, 956100164, 652141027, 397067886, 970299936, 913634283, 943167813, -1, 28957173, -1, 351615946, 327106968, 430919066, 557753594, 922556636, 787546662, -1, -1, 325862994, 51723852, 46011084, 929290993, 829017936, 549672425, 555598681, -1, 14977697, -1, 827699807, 476223160, -1, 402839455, 769812828, 483354165, 817690857, 529665014, -1, -1, -1, 171104397, -1, -1, 675807473, -1, -1, 241916622, -1, 838131238, 624569944, 920770587, 737095959, 276424216, -1, -1, 188356940, 301839091, -1, -1, 429028428, 700734991, 886317823, 735636910, 74931452, 824907529, 206490237, 510055695, 832843644, -1, -1, 872986762, -1, 278131134, -1, -1, 415404774, 524877195, 216462871, 182789635, -1, 203766795, 361212851, -1, 850582509, 592375198, 811810101, 953026415, 222886297, 446245295, -1, 708870491, 682375256, -1, -1, -1, 828347515, -1, 942910306, 544592204, -1, 819540490, 720992391, -1, 697624282, 480347713, 194709432, 57409499, 45300729, 63838816, 882920931, 869853332, 209282545, 524492117, -1, 102729389, 178263938, 493076827, 417043534, 215301584, 635574425, 292032019, 630503826, 435793902, -1, -1, 528988135, 375958853, 720140957, 805381778, -1, 628200169, 696764488, 706335557, 802599000, 880078352, -1, 32261588, -1, 751742537, -1, 388709289, 122577894, 539247774, 928652221, 540751623, -1, 973717587, 678102352, -1, 359191601, 11363354, 260409830, 875870639, -1, 781331629, 211000704, 901059332, 24931126, 597311053, -1, 487041918, -1, 741741151, 155301792, -1, 190132070, 123712397, 133955142, -1, 268776682, 972008327, 837767786, 464940618, -1, -1, -1, -1, 775971766, 268315376, 731132458, -1, 24413199, -1, 397787794, 66707386, 445874829, 909115229, 237154874, 249426786, 318693877, 840684114, 234925905, 949437766, 504955278, 810916873, -1, 699030325, -1, 834070768, 174383608, -1, 675204113, 956405121, 503322424, 442290264, 694639937, -1, 482030805, 323675306, 766567126, 452521746, -1, -1, 81574413, 217840476, 756792647, 389165811, -1, 841080259, 866948348, 301762507, 232196092, 704611864, 316203669, 674438070, -1, 292844977, 334780624, 283341677, 682091064, -1, 653354643, -1, 124725677, -1, 141025516, 161255140, 728873455, 747799133, -1, -1, -1, 852706256, 684932432, 947053724, 804555439, 9130574, -1, -1, 771414080, 916130950, -1, -1, 974898891, -1, 233471135, 973335667, 360615987, 617218175, 104656255, 153325019, 234984364, 817586463, -1, 652359961, 973918843, 120978125, 362100980, 342246780, 931130398, 231275619, 790895938, -1, -1, -1, 318481626, 152921451, -1, 260520646, 910560344, 3177638, 322272527, -1, 974751383, 830987761, -1, 776717116, 241655542, 65309910, 189417107, 929987068, 536425533, -1, 451731479, -1, 391792944, 924944805, 379186888, 233684692, -1, 922560166, 358511002, 79421556, 814984656, 582412266, 742778813, -1, 528815289, -1, 603860632, -1, 178738472, -1, -1, 958692522, -1, 689474991, 399117825, 164254065, 760190745, -1, 420123514, 586198131, -1, 314468917, 854565391, 363951258, 362795887, 363928107, 774238835, 749074036, 707680778, -1, -1, 256884383, -1, 6385047, 366878590, 136873720, -1, 513196264, 952850681, 81171162, 599214684, 865074065, 93911670, 478026993, -1, 694637721, -1, 817908105, 54493804, -1, 730227716, -1, -1, -1, 717960202, 217269760, -1, -1, 703951777, -1, 948926798, 140049798, 409161102, 582168485, -1, -1, 346770773, 444680537, 591600657, 718592488, 100924179, 46534054, 765824148, -1, 869257576, 112943094, 317748492, 133832189, 21315826, 135970704, -1, 153644027, 61461535, 609310130, 859541019, -1, 202952975, -1, 529366962, 622858974, 852081423, 748407097, 892317425, -1, -1, 613583808, -1, 2441252, 922956224, 432481392, 698330038, 543130965, -1, 90350190, 597929433, 361173918, 700970399, 81177604, 253484956, -1, -1, 841339139, -1, 74600802, 852020196, -1, 855425636, -1, 351956118, 79400997, 735342274, -1, 245688718, 821119783, 189546308, 569281291, -1, 131050942, -1, 462385567, 761639521, 797550386, 66557156, -1, -1, 883869268, -1, -1, 808279582, 644584077, 137806277, 211738608, 506414800, 346843495, 587337045, -1, -1, 269627341, 917725262, 169528767, 791423895, 221833344, 571014548, 753495456, 432275917, -1, -1, -1, -1, 197792823, 981070122, 44248630, -1, 308759906, -1, 216349206, 373479036, -1, 730669408, -1, 291071111, 751590089, 129685718, 719024518, 111737218, -1, -1, 269533774, 576273817, -1, 291021696, -1, -1, 522707394, 690082346, 472078114, 226739264, 675753151, 427718236, 715950889, 998591241, 279022430, 341277237, 830837483, 373312870, 470743409, -1, 921934421, 136327574, 539957951, -1, -1, -1, 327760164, -1, 151395487, -1, -1, 507181376, -1, 425129073, -1, 791496949, 100383880, 410196786, 638776064, -1, 408450313, -1, 362957976, -1, 95321251, 803681290, -1, 9867961, -1, -1, 803562473, -1, 494657244, 824560420, 259459340, 884005106, 319832019, -1, 774538344, 916089106, 159106117, 277808946, -1, -1, -1, 322230295, -1, 74900676, -1, 124649472, 71755717, 927150586, 362076845, 684885677, 134276292, -1, 854603583, 405547484, 590802582, -1, -1, 502001081, -1, 667502871, 439167615, 972303998, -1, -1, -1, 359571671, 722500208, -1, 918715773, 510884139, 971503186, 279126270, -1, -1, -1, 169514224, 748331485, 294711048, 675720261, -1, -1, 265714918, -1, -1, -1, -1, -1, 34657578, 892699732, 894721699, -1, -1, -1, 266753150, 993660728, -1, -1, -1, 609872620, 394008787, -1, 553165851, 300410161, 659071969, 173260062, 199252613, 681585252, -1, 668029891, 556773446, -1, 934805294, 340294878, 260516861, -1, 999392004, 472186922, -1, 750566867, -1, -1, 591560664, -1, -1, -1, -1, 712473187, 841084255, 970604126, 1938975, 800730989, -1, 891859746, 553417178, 38764657, 920459511, -1, -1, -1, 336070363, 969562929, 422775270, 938289102, -1, -1, 913441208, 77637913, 322889732, 872600456, 648903280, 678220855, -1, 99335909, -1, 391753174, -1, -1, 939288624, -1, 159920356, 6545293, -1, -1, -1, -1, 754702369, 775976132, 188527961, -1, 988288781, -1, 590502714, -1, 920772612, 294366694, 302265161, 523577214, 619153438, -1, 462190499, 688205609, 835008677, -1, 146289112, 528470547, 938741663, -1, -1, 869037613, 628069821, -1, 827237371, -1, 762643804, 46288586, -1, 463749443, 173244185, -1, 946933795, -1, 543695603, 427593014, 74112515, -1, 255578209, -1, 249573853, 913947051, 331955523, 370769388, 325457353, 742801095, 443905631, -1, 762815825, -1, 567367809, 268025809, 450959672, 324489717, 469513024, 690268729, 987418322, 706112596, 408486585, 362068101, 112664605, 401741579, -1, -1, -1, -1, 769702504, 485670191, 567181350, 621384401, -1, 987680840, 189079886, 430690461, 56289812, 260639607, -1, 646255928, -1, 223759837, 859884491, 292668833, 921460733, 101388975, 752785871, 46499217, -1, 482956687, 857844665, 117026594, 827059835, 704749169, 751435229, -1, -1, 661870817, 972056140, 607528339, 572180919, 693046399, -1, -1, -1, 226942414, -1, 304530923, 140258565, 208314314, 991330041, 100462950, 594989020, 507372085, 414160632, 543523608, -1, -1, -1, 324955022, 823281617, 136740270, 878227266, 78505758, 997548770, -1, 547771915, 149384057, 139152219, 169606247, 488742587, -1, 286244950, 33250273, -1, 961723614, 876187178, 709684893, -1, 290681144, 726378765, 813540172, -1, 840472543, 617759593, 574686946, 5307564, 477665250, 840900480, 593987622, 109694738, 83304701, 673234451, 215315019, -1, 833325487, -1, 667918049, 350096049, 39919749, -1, 74705630, -1, 664192627, 115076797, -1, 623524677, -1, 81641719, 576370775, -1, -1, 273031643, 460124262, -1, 155290306, 2173687, -1, 933863218, -1, 762356428, 835355114, -1, 955847348, 445450277, -1, -1, -1, 678872110, 132499377, 14685508, -1, 582000412, 330461559, 973294765, 425130075, -1, -1, 559545938, 291405942, 254502537, 907143008, 949052252, 964208476, -1, 216395182, 340624199, 826189060, -1, 158132587, -1, -1, -1, 781393051, -1, 448026210, 109787935, 349419432, -1, -1, 470319200, 791206944, -1, -1, 16230185, 841133590, 530635803, 660813633, 194824291, 641483790, -1, -1, -1, 595534444, 496327613, 914713839, 929156424, 805336407, 206006271, 583917571, 885822671, 401036700, 499627177, 927471718, -1, -1, 163030962, 116114321, 383450640, -1, -1, 879528106, 718628378, 731388595, 928453464, 491689676, -1, -1, 661568017, 857151059, 237753273, 238840152, 671084815, 118333835, -1, -1, 721837482, 715265373, 664997636, -1, 491006289, 776190066, 653960522, 324257957, -1, 540151050, 500627599, -1, 472972244, -1, 192701703, 264217284, -1, 42659000, 577365202, -1, -1, 54546529, 691498403, 6426837, -1, 705387313, 856579832, 914279761, 638972843, 816726751, 497302323, -1, 505531863, 461601974, 198014973, 995837926, 240590065, 92418139, 179743337, 30095249, -1, 92541772, -1, -1, 842966447, 179463340, 279086428, -1, 359718476, -1, 437973973, 984821906, 17032346, 805811579, -1, 673101931, 687073947, 520287200, 567749207, 724555888, -1, 54395542, -1, 560861090, -1, 461448739, 769813871, -1, 198520301, -1, -1, 349275846, 663633561, -1, 89375986, -1, 681045461, 156499258, -1, 585548428, 781105347, 312090789, 491078156, 168343136, 420611002, 565624439, 299911837, -1, 874222661, -1, 933740354, -1, 411827920, 548902158, -1, 740058360, -1, 10355473, 411134917, -1, 401163550, 754698752, 615688835, 331337588, 575454817, 58427385, -1, -1, 99465877, 69160192, 663085827, 11391294, 138610796, 133048133, 85301625, 713214426, -1, -1, 940588228, -1, 583211350, -1, 683167583, 48518035, 704081510, 490678542, 437850044, 785391621, 238234865, 105566671, 614363416, -1, 775376931, -1, 40843702, 84568456, 389315379, 844590961, -1, 292896390, 930529655, 740412915, 841539236, 828052345, 280536277, 594209310, 479908541, -1, 724071706, 885595718, -1, -1, -1, 703257384, 543158870, 11355581, 244624213, 174663501, 184179229, 520010398, 844647265, 765432183, 103152364, 850642902, 401489389, 257915985, 521556711, -1, -1, -1, 542687883, 825019505, 734821346, 60691697, 170090875, -1, -1, -1, 607409482, 538550855, 668593213, 885084808, 972011250, 323937059, 897457108, 161165435, 184827183, 786433476, 995475320, -1, 692704097, -1, 409699934, -1, 38362121, -1, 402069154, 75698629, -1, 763715078, 796366713, 697390767, 216436862, 836118021, 522693461, -1, 140964613, -1, 665657509, 562270314, 343618934, 579448314, 341926733, 619844669, 59606117, 454858305, 483026030, 110982203, 6022112, 62876583, 183004330, 553336820, -1, 939753013, 324200665, 786463654, 42437647, -1, -1, 629909800, -1, -1, -1, -1, -1, 880972740, 455147730, 204277545, -1, -1, 565755846, 570627836, 584059988, 21348736, -1, 356147693, -1, 403512998, 341011539, 287677637, 465574174, -1, 5265466, 372111615, -1, 336779941, -1, 817816301, 44658265, -1, -1, -1, 35401712, 252421969, 980759708, 18590134, 984366118, 261065368, 160051419, -1, -1, -1, 72192342, -1, 433220394, 158520076, 714951930, 162316325, 816000613, 347869073, 562016651, 865663870, 509663527, 742147445, 277310225, -1, 920398599, -1, -1, 680179970, 791579671, -1, -1, 804744, -1, 607155496, -1, 619662827, 912943074, -1, -1, 466735234, 7624042, 685886520, 835851118, 132929014, 246169599, 439216787, -1, 577950207, 694271261, 495946826, 722466962, -1, 900634892, 500035666, 848256864, 723105020, 257678562, -1, -1, 112129312, -1, 565763249, 125636409, 976653300, 523922721, 546348889, 765148641, 231125761, 189039299, -1, -1, 957166334, 772151134, -1, 494597989, 137065293, 4847859, 49219295, -1, 734924206, 600819877, 363917591, 143109179, -1, 640119994, 900083448, -1, -1, 632607874, 699243554, -1, 106699323, 871538762, -1, 399943909, -1, 851681962, -1, 222519679, -1, -1, 618905437, -1, 761128937, 858642537, -1, -1, 527046814, 981997439, 471327035, 778786750, -1, 214481816, 820825987, 714693992, 864746019, 468891080, -1, 99185246, 553436400, -1, 528069424, 708539179, 357038770, -1, 656664341, 607328924, -1, 375836103, 55413084, 868237651, 545259786, -1, 92827645, 951863775, 621926400, -1, 371322279, 307268712, 101744243, -1, 178248244, 393765727, 427667572, -1, 737217012, -1, -1, -1, 517757255, -1, 105737509, 985022938, -1, 824332045, 990939704, 182307645, -1, 758541976, 163101547, -1, 293920927, 341797276, 420450540, -1, 830798870, -1, 56688935, -1, 163641571, 37026831, 454333166, 924716249, 169491774, -1, 544708461, 435913412, -1, 11805460, 108640303, 647094708, -1, 330790418, -1, 714604083, 464078552, 483684475, -1, 594504846, 445702843, 49959365, -1, -1, -1, -1, 588526189, 394675040, 135058691, -1, 77049767, 255830011, 11995314, -1, 407780113, 662854370, 439285260, 167298803, -1, 584810480, 502941077, 629037770, 860192120, -1, -1, -1, -1, 671345747, 464572523, 803431992, -1, 8082251, 250199826, 751744076, 343119336, -1, 186669169, 595261123, 626288695, 375948067, 935451934, -1, -1, 641526996, 943195421, -1, -1, 585479661, 480177271, 840127231, 725218460, 184926808, 66961975, 609020893, 70878022, 64398144, -1, -1, -1, -1, 56765489, 219876764, 245106908, -1, 329604176, 49943414, 246044292, 943354480, -1, 452787318, 524525408, 699933698, -1, 441429179, 672115345, -1, -1, 333401938, 649158652, 246050261, 261074151, 63858691, 249732422, 422494182, 53344029, 162325585, 536337841, -1, 685952834, 838021, 905204322, 208066194, -1, -1, 232886676, -1, 457443154, 265931070, 39926650, 416428171, 199163368, 713486489, 978632492, 54940358, 972989379, -1, 833943710, 156506866, 80137981, 156554962, 29091167, -1, 377741805, 556441068, -1, 781617168, 733572514, -1, 252605686, 308056333, 43186126, 930614959, -1, -1, 102759881, 638611014, 66336755, 25138030, -1, 154139454, -1, -1, -1, 862960586, 117225351, -1, 123776672, -1, 435507372, -1, -1, -1, 346444751, 436954284, 409563750, -1, 532400088, 944617204, 169132822, 705868015, 248667590, 490272326, 61061790, 635548001, 678284648, -1, 474833376, 34187138, 543980756, 757042458, 335537741, -1, 875279218, 678562452, 262984126, -1, -1, 941798820, 154651838, -1, -1, 555268490, 970466687, 781394979, 932483070, -1, -1, -1, 271296456, -1, -1, 469183853, -1, 621460313, -1, -1, 167330, -1, -1, -1, -1, -1, 674427062, 493251193, 786589029, 102863101, -1, 5846424, 767878662, 426753832, 657705818, -1, -1, 201214131, 959408164, 26871918, 600189272, 112407176, 40727067, 191763436, 568895396, 941216424, 510341908, -1, 457136180, 221400320, 451956530, 145335765, -1, 568921461, 591550966, 872095839, -1, 389051726, 930699102, -1, 480185386, -1, -1, 815319866, 985616076, -1, 800476892, 751758931, -1, -1, 426182617, 196945480, 492070145, -1, 764177248, 633426963, 638371395, -1, 373013844, 593176740, 516585102, 828571683, 757242698, 402168208, 484761455, -1, 140763253, 559052991, 563057570, -1, 213221930, -1, 133788327, -1, 745276913, 141741250, 209460226, -1, 862701276, 723909041, 932481523, -1, 935158781, 233445592, 98223430, 379384095, 578400254, 846000383, 750309190, 704061942, 786918338, 583262031, 337307830, 395706778, 185975950, -1, 827035128, 580780093, 852645881, 46035013, 69858491, 101969701, 286907633, -1, 202221995, 468932480, 723207747, 154371213, 868860238, -1, 203580350, 150191873, -1, 532035632, 212675877, 475968364, 143872832, 306257930, -1, -1, 188984716, 237638703, 540652129, 340565273, 794978446, 356537900, 171877671, 618304016, 279281867, 665557624, 424095752, 487719781, -1, 986544354, -1, 222548185, 133160873, 760661729, 95835492, 266000640, 734727375, 18973072, -1, -1, 590304244, 302472297, -1, 575890994, 212502432, 14219380, 531919569, 376525874, 251071542, -1, 993808643, 323865386, -1, -1, 152938213, 997977644, 918650296, 703073412, -1, 631105150, 796500934, -1, -1, -1, 71931179, 469597311, -1, -1, 111159998, 751819108, 437419269, 947443106, 222017176, 530598694, -1, 228306725, 840429540, 292980390, 59339589, 504625450, 965870442, 560048934, 44164368, 204886124, 499801246, -1, 515689727, 823183253, 828249898, 520479269, -1, -1, -1, -1, 86357984, 71693209, 379409413, 707318526, 146295880, 932028661, 321026910, 623184869, 416346096, -1, 166795549, 443145551, -1, 17996418, -1, -1, -1, -1, -1, -1, 812406714, 65487267, 229573002, 548890211, 255966539, 847683698, -1, 904515907, 867417194, -1, -1, -1, 564141809, -1, -1, -1, -1, -1, 308373967, 177768810, 622742024, -1, 351083098, 556304151, 859688460, 354997395, 780086273, -1, 82869547, 822245265, 458617166, -1, -1, 238295554, -1, 950376232, -1, 393481970, 57588027, 125738865, -1, 488543780, 845598496, 113321894, 713311163, -1, 665890717, 174214026, 777246159, -1, 124173764, -1, 253226046, 306714391, -1, 900394307, 374134480, 13516762, 458749768, 483462795, 724770120, -1, 864710415, -1, 245132281, -1, -1, 446556817, -1, -1, -1, 324054342, 236478380, 193099904, 42138808, 535827529, -1, 935609153, -1, 697607070, -1, 574381018, 761173387, 756901022, 28023123, 380486079, -1, 311077702, 687531038, 642450825, 903785904, -1, -1, 342554492, 901143840, 592541743, -1, 989660916, -1, 105768819, 822891008, 227774814, -1, -1, 573958320, 789639760, 457924392, 507151496, 185545751, 402358051, -1, 190904771, 635109921, 203921795, -1, -1, 799052659, 579661650, 630339179, 442690275, -1, 123614820, -1, 962788488, 904379194, -1, -1, -1, 489811593, 968940906, -1, 920253840, -1, 574881398, 516994287, 606993062, -1, 188576259, 474953123, -1, -1, -1, 86753825, -1, 214773200, 410877987, 380429212, 125120236, 911986409, 173580705, 801236786, -1, -1, 375283141, 430402647, 738008837, 359274532, 519425374, -1, 224203911, -1, -1, 839887699, 312820075, 414016602, 979477906, 658872812, 12786599, -1, -1, 575950711, 299576482, 362170227, 721951892, 498879351, 338906372, 930051803, 678739974, 720529237, 328413738, 580631091, 831918275, -1, 738751945, 522959772, 88355774, -1, 502387797, 964405132, 118530188, 760838650, -1, 560873721, 886455199, 753351754, 921426664, 230761702, -1, 47662083, 537102287, 721226814, 525904333, 701701958, -1, 193931310, 846132393, 847684093, -1, 543140177, -1, 899580577, 790317296, 404816224, 926422880, 933891568, 71500521, 457022819, 975810593, -1, 558342016, 290219572, -1, -1, 669697529, -1, -1, 30619156, 644559323, 306331416, 543122361, 484747877, -1, 782172483, 171439810, 148777537, -1, 112239144, -1, 170501128, -1, -1, 141414048, 294919660, -1, -1, 155395079, 441978421, 42728318, 797876694, 584574625, -1, -1, 522000552, -1, -1, 937219768, 898839010, 990666723, -1, 189045408, 266189070, 492399779, 805203442, -1, -1, 768581567, -1, 925142652, 325503873, 659852998, -1, 733633953, 829125741, -1, 625667619, 773418609, -1, -1, -1, 949608392, 911984190, -1, 59199136, 334631256, 260167526, 366273126, 709172415, -1, 448931787, 474584118, 455680152, 326413740, 727498992, 246280524, 68988292, 819270666, 939406597, 161304696, 125954970, 714761374, 296438035, 645120331, 333670865, 447452780, 870000750, 844820727, 444814369, 785212689, -1, 554239242, 65958584, 866762292, 798498724, -1, 604132038, -1, 756017182, 852381245, 543365654, 906500954, 544942723, 942541721, 878538343, 509909220, -1, 186745019, 387436990, 346780989, -1, 37310512, 806761483, 526372773, 543910673, -1, -1, 839013791, 576285334, -1, 823333191, 748575689, 546816261, 61653849, 992758426, 929584466, 766454994, 412058332, -1, 242704268, 150027697, 16910718, -1, 106619566, 324079983, 691030069, 595443395, 822516974, 405085778, 217100515, 29692335, 868722867, 460515082, -1, 551157720, 267491717, 260894664, 110622831, -1, 904729506, 872998727, 735896214, 560445786, 421819445, 204818516, -1, 86228890, 845399956, -1, 375990765, 120069973, 663937633, 52977565, -1, -1, -1, 793679678, 840076725, 546956423, 765266944, 194572821, -1, 556093553, 859549842, -1, 85235523, 452454357, 550574644, -1, -1, 988188044, -1, 643987269, 423002769, 449211043, 621774449, 130812792, 400326225, 325316969, -1, 652910225, 567943191, -1, 68546707, 547237885, 73764461, 800134694, -1, 759086450, -1, 407492891, -1, -1, 638332092, -1, 678585305, 28115677, -1, 592141129, 798756419, 133128361, -1, 475792778, 685258564, 162090044, 563362462, 781110041, -1, 561104817, -1, -1, 745718562, -1, 67994081, 21989361, -1, 350949538, 784441492, 533121431, 551464943, -1, 967557580, 357209346, 143404562, 279177315, 301423038, -1, -1, -1, -1, -1, 381423270, 200882427, -1, 504634393, 252898677, -1, 662118999, 466079551, -1, -1, 573967137, -1, -1, 877728005, -1, -1, 510163527, 800840394, 526345848, 957627542, 218624408, 38448190, 296111774, 608575121, 752072672, 446209396, -1, 550366088, -1, 139360753, 158735022, 439984642, 750904034, -1, 244103228, 636812605, -1, 58694248, 958582628, -1, 670488657, 742163895, 545359424, -1, 756214047, 526905397, 675450943, 879280253, 875040548, 720545751, 56881973, 407207369, 855149096, 14005418, 223779701, 594958981, 224116638, -1, 104697944, 909697371, 451228656, 487652618, 211021424, 364403888, 931171822, 270028548, -1, -1, 802301510, 890158505, 499801729, 251160740, -1, 516702982, 631277389, 410783788, 506071321, 889432322, -1, 764425972, 754392762, 209894392, 341209446, 11268726, -1, -1, 207006165, 144160020, -1, -1, 338442029, -1, 64726087, 265147763, -1, -1, 318239309, -1, 555718221, 568476253, -1, -1, -1, 133901857, 439027538, 514422656, 819190901, 968974460, 368983038, -1, 565810135, 621439747, 234505589, -1, -1, 888951506, -1, -1, 727484149, 708503837, 899043064, -1, 55584898, 170380158, 938322857, 399189279, 679875407, 492087611, 2265841, -1, 943167998, 604163398, -1, 687629296, -1, 580122369, -1, 407400895, 204125421, 178986601, -1, 568711820, 622483388, -1, -1, 653063615, 217029480, 718880147, -1, -1, 44109082, 375642526, 506261100, -1, 454521955, 112446927, 783653301, 662601548, 410995413, -1, 622885911, 999080662, 288855156, 372908582, -1, -1, -1, -1, 480918648, 39186847, 755205494, -1, 674634957, 855438632, 475750661, 257494552, -1, 849295043, 644727016, -1, 572281262, 410515591, -1, -1, 928137202, 850189933, 275111811, 685298585, 555613351, 457932877, 17979420, 406477616, 599404689, 346295038, 727020438, -1, -1, 416227889, 434348136, 747780544, -1, -1, 536642819, 542902900, 357857857, 606272122, 737680235, 726522472, -1, 849371679, 162896621, 171550904, 184826566, 100941655, -1, 296617062, 345792967, 368251407, -1, 717048930, 487125378, 974819015, 651422088, 200838300, -1, -1, 627255722, 896997948, -1, 890850382, 778891865, 646414795, 428750427, 602580168, -1, 755156488, -1, 986465378, 563885599, -1, 928651893, 102927980, 357584255, 643273690, 684506964, 304187861, -1, 832335868, 583627861, 545369703, 358029042, -1, -1, 343046239, 972984290, 429908782, 862088952, -1, -1, 80812981, 453116820, 307361414, 5390234, 462194864, 53756575, -1, -1, -1, -1, -1, 685623994, 354919730, 686905113, -1, 978676970, 850561093, 12404601, -1, -1, 770582620, -1, -1, -1, 599806274, 54622444, 198543345, 975555385, -1, -1, -1, 329076135, 83904352, 281079674, 276780746, 152192626, -1, 206087308, 863347300, -1, -1, 833965498, -1, -1, 751105007, -1, 817271920, 399239180, -1, 644003065, -1, 561526220, 808711759, 221077213, 37937532, 617388151, -1, 931798390, 207682763, 296595648, -1, 534005634, 995954264, 841773447, 578035900, -1, 484446507, -1, 851980404, 379108446, -1, 397844855, -1, 602769346, 135070048, -1, -1, 26533497, -1, 199671134, 400345596, -1, 678928165, 488515347, 147079900, 37043404, -1, -1, 994840286, 577059260, 131415988, 242391136, 541767363, 628079071, 404342351, -1, 664102523, 410437785, 745713363, -1, 940042942, 318781956, -1, 154657441, 535905869, 658027777, 28393687, -1, 991124175, 224913457, 350566567, 103216878, 384250120, 461810105, -1, -1, 183107206, -1, 90431188, 821514282, 334396626, -1, 328878866, 449550083, 813990526, -1, 550302140, -1, 233551512, 566721474, 938787775, 272816788, 591203516, 47888769, -1, -1, 225553665, -1, -1, -1, 351174154, 397488017, 925828574, 426543135, 599757836, 547449290, 523162708, -1, 541479777, -1, 424249955, 848631109, 499971066, 642234986, 128623584, -1, -1, 159166527, -1, 975396592, 502470497, 116216793, -1, 857728444, 760035255, 813008924, -1, -1, 743102233, -1, 852522551, 370296600, 861838907, -1, 283257152, 388183126, 119914612, 904534806, 3140485, 231399100, 795849528, 22004630, 611572543, 40861310, 323174441, 92207048, 636375677, 900383497, -1, 345220506, 945301961, -1, -1, 695402401, -1, -1, 180687617, -1, 662639757, 27761771, 792011586, -1, -1, 533396289, 661968138, 617019582, 290719118, 684415997, 820867879, -1, -1, 364925851, 159991650, 509384477, 283222294, -1, 253061438, -1, 754278450, -1, 884364196, -1, -1, 637478077, 106811401, 404913890, -1, 375329553, -1, 365846273, 571907411, -1, 965679834, 220196848, 638631365, -1, -1, 267939395, -1, 554166610, -1, 400383488, 705553495, 674149775, -1, 170505032, 276674461, 737493412, 907928352, 258765886, 885814999, 641053272, 924386948, 378522819, 906478759, 273823347, 469357762, 783033440, -1, 777036131, 756641903, 613858459, 48546690, 382582637, 395064457, 930384989, -1, -1, 741269332, 307362176, 371234797, 169561634, -1, -1, -1, 957998641, -1, -1, 331000102, 138737676, 431376462, 500286634, 932282861, 861717345, -1, 25052215, 108203606, 661215388, 121494227, 471807303, 278082918, 539803500, -1, 941506407, -1, 304349585, 759382, -1, -1, 66123923, 413250283, 744951103, 669675599, 768077863, 195116261, 116738304, 844143791, 169129196, 934416767, 918739798, 813444126, 308993895, 630950980, -1, 201851195, -1, 359038994, -1, -1, 412400791, 931681345, 842344875, -1, 54179898, -1, 834115949, -1, 945438088, -1, 639272756, -1, 658899683, 781819848, -1, 640057797, 918814593, -1, 881850484, 95555397, 818217438, 677525638, 779976993, -1, -1, 809395788, 355321650, 338768835, 994270289, 188930497, 627489849, 527553683, 250287854, 993509901, 778112125, 547930621, 309738979, -1, 120279847, 788635470, -1, 280423364, 470217806, 232542615, -1, 947736769, 995835549, 349621191, -1, 596362053, -1, 365192606, 527957105, 932401688, -1, 21164826, -1, 568867103, -1, -1, -1, 163346672, -1, 989550086, 752058007, -1, 794725085, 775731633, 408260961, 478904773, -1, 927288029, 996089096, 951069234, 70628812, 396692312, -1, 306777708, 346641936, 823138469, -1, 221562904, 269109143, 807269786, 765524076, 728739986, 164948709, -1, 296734000, 482849714, 709785168, 919022387, -1, -1, 687324704, 31684086, -1, -1, -1, 753107567, 703170513, 30974514, 238157748, 883376037, -1, -1, 199246757, 347344706, 755715244, 966439330, 546857079, 775620762, 149388405, -1, 946406593, 107102870, -1, 754870486, -1, 340154379, 621491979, 184431514, -1, -1, -1, 712836203, -1, 623659640, -1, 398129974, 634085439, 816246026, 315899899, 339430285, 896388238, 477712215, -1, 13929224, 577566810, 542185506, 946444178, 366088116, -1, 419103140, 914879211, 664844095, -1, 772477234, 343508671, -1, 64552093, -1, 591142212, 281166102, -1, 555393268, 174900313, 6126929, -1, 34964043, 626713826, 877051422, 373160810, 108005764, 230730095, 483126347, -1, 754373891, 156273691, -1, -1, 101243357, 272883071, 48742355, 480758227, 832477701, 118243612, 854698858, 981582648, 787710686, 716161777, 824122436, -1, 550702603, -1, 406472181, 577728133, -1, -1, 50713645, 827650705, 210894122, 892102249, -1, 614049394, 445368871, 899720029, 608203139, 459961688, -1, 675102209, 193728407, 135635336, 923251655, -1, 316106091, 269851297, 210662121, -1, -1, -1, -1, -1, 42205940, -1, 6951648, 498449916, -1, 882974579, 757415893, 189874165, -1, 94182643, 974276655, -1, 787978591, 824197587, -1, 549815203, -1, 214041153, 85317414, -1, 384195452, 282725668, 295906013, -1, -1, -1, 255410206, 912747793, -1, 121799702, -1, 25455426, 245103240, -1, 877266865, 183510121, -1, -1, 453783173, -1, 801458361, 566922548, 181326287, 130497772, 412460149, 353924972, 354066981, 27174179, 906619305, -1, 478494204, 585427039, 448897298, 85450062, -1, -1, -1, 183060488, -1, -1, 513726477, -1, -1, -1, 269946087, 799137848, 888649442, 761136853, -1, 662390962, 161914278, 154479842, -1, -1, 562332014, 477296803, -1, -1, -1, 721916916, 858710402, 542123397, -1, 63714030, -1, 463966413, -1, 944813629, -1, 702539430, 560692557, 345597881, 852991748, 219232, -1, 261551655, 113681237, -1, -1, -1, 868448581, 777528981, 821296467, 992886051, -1, 497899586, 451263650, 469062906, 675982737, 126259411, 812825398, 263485696, -1, 645574205, -1, 235360097, -1, -1, 981217881, -1, 811067911, -1, 538212747, 783722301, 803700806, -1, 776724014, -1, 575091309, 688532756, 170567182, 699119508, 267584893, -1, 574343257, 277363661, 494472041, -1, -1, 142464989, -1, -1, 13604443, -1, -1, 636859019, -1, 178857910, -1, 64994099, 331160661, -1, -1, 590172738, -1, -1, 888713804, 996094049, 215023755, 575783795, 735929561, 880767173, 924730649, -1, 377320200, 605011079, -1, 538961153, 547095730, 149121469, 878069391, -1, 207287536, 752471665, 860197426, -1, 598919432, -1, -1, -1, 879364718, 413608912, 402623592, 264319667, 812831503, 228738354, 298881664, 343700393, 395256604, 628281136, 56555490, -1, -1, 226221475, 722104116, 87647850, -1, 572860998, -1, -1, -1, -1, 240001413, 868323293, 312675743, 731953765, -1, 911552003, -1, 423348663, 235622811, -1, 349444430, 745168544, 22556286, -1, 553054419, 984058353, 328083375, 125126126, 890233819, 169320476, -1, 23438239, 982742421, 902353515, 609408649, -1, 162965529, 966308386, 806186458, 700101141, 191855818, -1, -1, -1, 304632063, 938875957, 440946017, 48142737, -1, -1, 741831982, 541754659, 669265086, 56276649, -1, 570419537, 834132940, -1, 459103994, 446236474, 957086340, 445549983, 662714349, 880430165, -1, 915179785, 95389440, -1, 21537243, 790240777, 142631868, -1, 27837008, 933692192, 510458435, 710553166, 661181037, 627223952, 605061837, 887543700, 678432408, -1, 716486113, 777264988, -1, -1, -1, -1, 758792096, -1, 599372985, 724610248, 24371313, 664879237, 822035330, 809512141, -1, -1, 891265892, 25774568, 23588385, 751097959, 827424941, 956122101, 892162639, 701372870, 395754766, 594878735, 823287643, 227776098, 977227555, -1, 865373786, -1, 163169294, 534465159, 597413849, 245020992, -1, 738869932, 739749972, 756334366, 972863969, -1, -1, 439469406, 354143729, 716547079, 926707153, 294608918, 53606111, -1, 835249171, -1, 440799528, -1, -1, 448917473, -1, -1, 703043250, 751033643, -1, 898829505, -1, 420591237, 460590158, 45493402, -1, -1, 616160658, 503083391, 597587432, 286245049, 651016276, 832158722, 92636452, -1, 524100233, 887209444, 291810844, -1, 49810347, 28095404, 740171309, 650107068, -1, -1, 561063231, -1, -1, 221938844, 843108254, -1, -1, 123724741, 709865315, 327291250, 993402719, -1, 175964032, 160809181, -1, 919954185, -1, 633200624, 267615170, 677258130, 808107040, 862733714, 294467170, 168653180, 194161272, -1, 890732419, 898100341, 824954090, 748149915, -1, 459281660, -1, 236321930, 214000787, -1, 40964520, 363492995, 62205033, -1, 305675665, -1, 811446340, 584455261, 437512269, -1, 375785141, 507041310, 148454608, 719447369, -1, -1, 754335127, -1, 93173665, -1, -1, 735650376, 184832396, 490386041, 473874289, -1, 771246484, -1, 711433897, 384561834, 85510787, -1, 703562621, -1, -1, -1, -1, 117809050, -1, 673357376, 983406379, -1, 688318524, 308875786, 500005520, -1, 474726410, 406732289, -1, 6940591, 22912728, 901744251, -1, 567533410, 766936958, 969876196, 248896598, 921399426, 576599139, 3144508, 284511998, 356083306, 870574911, 999139863, 390358484, 705022179, -1, -1, 581527931, 434053, 606742634, 364205702, 431024632, 833722251, -1, 214900145, 762568200, -1, 4299000, 193619338, 953627619, 930167583, -1, 339610049, 939294998, 275628179, 583405756, 970781528, 236618450, 833365946, -1, 236641162, -1, 232414783, -1, 802084464, 320904325, -1, 862001713, 536128121, 215462622, -1, 83269066, 78653576, 219733661, 526605408, 74160203, -1, 137494754, -1, 650710083, -1, -1, 720058848, 117368000, 160843577, 820773627, -1, -1, 94364730, 423081129, 312593160, -1, -1, 328879433, -1, -1, 821181330, 514766156, 611805615, -1, -1, 987317181, 527367635, 891849478, 414747548, 313453999, 538797201, 223186218, 22017400, 489215254, 276626663, 178145926, 806069617, 459508030, 588967844, 423319441, 962033040, 370931118, 712372164, 554631140, 953252215, 464006952, 545404029, 661124672, 18014866, 479574236, -1, 725981971, 796896272, 141874445, 571222613, 402624164, 211628309, -1, 200910292, 441974224, 995968618, 842422545, -1, 982575037, 790331793, 292043252, -1, 344417950, 232063259, 898150855, 688964790, 427630251, 236248859, 219401874, 907440489, 412385452, 962536642, -1, -1, -1, 728660416, 857637052, 882421255, 148896944, -1, 915644694, 465360992, -1, 560942018, 526361822, 206459183, 780066714, 738730582, 443683678, 607288125, 141798199, 366510699, -1, 108112716, 892515226, -1, 769215371, -1, 674857552, 773784340, 177683809, 929787430, 792805680, 393077582, 814127630, 809044041, 872652489, 253982851, 236588195, -1, -1, 323730050, 981006691, -1, 186769956, 448552278, 43324097, 678213871, -1, 168343412, -1, 575663413, 951007276, -1, 652746942, 906705224, 386642023, 240215761, 678946988, 678491484, 307582930, 613386374, -1, 993221352, 79192019, -1, -1, 537522990, -1, 874965619, 792603386, 540048611, 697497439, 886016688, 459710577, 706838435, 604921742, 416804600, 33247307, -1, 206541050, -1, 682311116, 44960273, -1, 824253505, 546360378, -1, 90937921, 287269236, 459760320, -1, -1, -1, 75986991, 911193478, 934006348, 286000102, 406581226, 686656309, 190139257, 963646189, 796137656, -1, 945630315, 994054472, -1, -1, 452066191, 919698243, -1, 551823258, 678221492, 464928711, -1, 254100270, 637560781, 499242688, -1, -1, -1, -1, -1, -1, 118806944, -1, 504745842, 61281094, 240374717, -1, 875976490, 110706177, 542468050, 210662052, 325051455, 876483956, 729701359, -1, 545304075, 319510141, -1, 580099554, 444323153, -1, -1, 628924732, 110983642, -1, -1, -1, 554517380, 946966640, 183718707, 291545131, -1, -1, 771585786, 165586842, 891360379, 88659733, 690450384, 97803026, -1, -1, 929894395, 507437998, -1, -1, 10813408, 970376529, 175211041, -1, 576304418, -1, 562643726, 786747635, 476065887, -1, 944188800, 960290965, 638019970, 454206012, -1, 251233204, 934697663, 622491362, 809869684, 515266253, 555613160, 375634011, 231127364, 271845572, -1, -1, 340722060, -1, 44720018, 150454353, 332543253, 54888249, 488985961, 524241060, 782831709, 685206484, -1, -1, -1, 23368788, -1, -1, -1, -1, 501777847, 787593071, -1, 606442603, 666283307, 540683132, -1, 756115049, 961001621, 634996805, 270015695, 945667217, -1, 642793741, -1, 846914203, 899947419, -1, 790945032, -1, 131520752, 101162391, 619860076, -1, 656080970, 788504883, -1, 858910998, -1, -1, -1, -1, 324135305, 407954721, 790133024, 674056982, 226417669, -1, 362472341, 791943617, 34918655, 131823361, -1, 744724738, 208813132, 797139788, -1, -1, 799011821, 418045761, 550271075, 212537395, 977485315, -1, 974697536, 870757960, 744642817, 703177968, -1, 887149276, 156232077, -1, 385575895, -1, 830846430, 98849655, -1, -1, 19026306, -1, 577596601, -1, -1, -1, 822045669, 659900878, 677625783, 322353949, 264266415, 450028321, 869279405, 731515862, 362602343, 624054570, 46296883, -1, 745696532, -1, -1, -1, -1, 75197212, 34140956, -1, 332394603, 251204612, 476990493, 828805710, 32309956, 192857697, 111812388, 272375029, 478524948, 93160087, -1, 627629884, 324208680, -1, 998910881, 923544418, -1, 977578125, -1, 444504497, -1, 307880244, 400365054, 352086118, 924516496, 25916324, 405769529, 414221861, 621473061, 940703206, 42261744, 157648555, 942838866, 608369021, -1, -1, 360179317, 137093685, 711490410, -1, 380953289, 670059760, 802400014, 404087263, 319654340, 44815491, 864818972, 101065299, 517270707, 855123237, 421533745, 928708098, -1, -1, 763679962, 757352845, -1, 678677633, 342301450, 295687954, -1, -1, 598181395, -1, 640098641, -1, -1, 593564902, 488365264, 757869051, 277208, 565617400, -1, 952282891, 82409989, -1, 599158710, -1, 816263477, 260602631, -1, 727196461, -1, 587329809, 419594056, -1, 298132472, 38331578, 762026664, 51431369, -1, 191553981, -1, 595481050, 325142346, 833524137, -1, 883200760, 823604826, 442023402, -1, 927092764, 739727451, 310225567, -1, 928233596, 488962534, -1, 760736498, 197123807, 225042385, 367136375, -1, -1, -1, 884546223, -1, 54351268, 680843579, -1, -1, 361352471, 114758322, -1, 712544928, 3421397, 604051062, 315624716, -1, 554938100, 49729429, 408368965, 741925070, 719831732, 332504873, -1, 647801185, 496651526, 275587012, 479934921, -1, 208854631, 182300208, 353764016, 635133569, -1, 287015207, -1, -1, -1, 603208353, -1, 572813448, 501297790, 359645484, 794623071, 542695743, -1, -1, -1, 631076262, 717824229, 369977692, 116953421, 715264891, 874811219, 613880167, 121645006, 623387358, -1, -1, 690840662, -1, -1, 440233968, 71252039, -1, 594789092, 538800850, 227160140, 720053571, 290747792, -1, 324941880, 446047039, -1, -1, 117205422, -1, 264366201, 402110568, 406619514, 452829130, 372198805, -1, 480044297, 983976087, 418050197, -1, 35095552, 989045765, -1, -1, 489774626, -1, 358842657, 718766364, 586338650, 119129215, 353185475, 652270027, 188504524, 374870174, 968534883, 4500953, 852961467, 838035400, -1, -1, 284723737, -1, -1, 366375238, 824194566, -1, 176184395, -1, -1, -1, 939213517, 644119951, 484702850, 340871075, -1, -1, 283942350, -1, -1, -1, 213259693, 897031554, -1, 174551792, 122618373, 455349462, 398471994, -1, -1, 798771271, 524814237, 581253208, 776823977, 630616134, 546697472, 691080818, 234339751, -1, 821920444, -1, 720432110, 692647569, 863962832, -1, 291510341, -1, 732087197, 983038125, -1, 472236759, -1, 402216429, -1, 616947005, 667727382, 965463163, 533593265, 291425156, 371686976, 412911543, 639399673, 334949816, 82182480, -1, 725201269, 442308041, 128635211, 126425295, 993418912, 463264097, 265144826, -1, 432464576, -1, 364998929, 40248725, 505103424, -1, 609939836, -1, 632917901, -1, 826989211, -1, 541634276, 91917037, 23723290, -1, 531373045, 910308034, -1, 133395121, 293246969, -1, 84596423, 398436918, 83944640, 657227481, -1, 142230333, 687776813, 994548126, 321214755, -1, 977114717, 73990209, -1, -1, -1, 838784753, 189300583, 376865065, 764374381, 434057251, 495253792, 925193967, 762796516, -1, -1, 898471857, 873442313, -1, 820625734, 789527294, 671325641, 990829575, 336899326, -1, -1, 718734254, 906462697, 449936852, 993008108, -1, -1, -1, 36879025, 666695696, -1, 937850892, 237684298, 71679760, -1, 448135475, -1, -1, -1, 698878646, 175413490, 214992559, 182513088, 450538223, 531037010, 520235675, -1, -1, 925740034, 67490657, 983099887, 436560825, -1, 260796742, 165739385, 262262598, 49537328, 235926924, 756330069, 639135433, 348507451, 521450122, 301776854, 965804564, 520474470, 605919164, -1, 934939567, 48666493, 912434870, 760636136, 156986077, 938893800, 797476806, -1, 219241473, 73338095, -1, 424654942, -1, 815518317, -1, 129952140, -1, 388896654, 958927767, 320394411, -1, 629202648, -1, 898995435, -1, 921434805, 592085295, 774226685, 647349682, -1, 82225876, 440895477, 374583094, -1, -1, 381149671, 750357607, 713961233, 631040066, 102396333, 228518063, 867808855, 280597334, -1, -1, 226465363, 985515420, -1, 467359798, 893349382, 199006445, -1, 846439851, -1, 885253625, 282697740, 150507069, 445680709, 852958358, 71347724, 860561032, 545958337, 33203200, -1, 620875084, 201991001, -1, 424545931, 22369028, 960390528, -1, 746339279, 215772947, 730867524, 968731337, 253631476, 531777958, 995358403, 912074904, 587443583, -1, 533985414, 384317810, 381286300, 368198117, 243865256, 187805617, -1, 447985026, 699102850, -1, 278926203, 850379120, 942485985, 274370316, 720895244, 397309650, -1, 200534312, -1, 67718861, -1, 590219032, 863887931, -1, 189546691, 49056953, 901741421, 860977151, -1, 842021082, 1617953, -1, -1, -1, 534743670, 570493256, 653131787, 422890524, -1, 935564268, 987033934, 791602738, 790769720, -1, 222341878, 543411897, -1, 47989174, -1, -1, -1, 767332077, -1, -1, 979239716, 838156347, 835652876, 522916295, -1, 537909728, 331291201, 391550351, -1, 709328796, 514166927, 715710889, 474932527, -1, 272726749, -1, 178693649, 287438017, 485402421, 815071527, 617217963, 158098934, -1, 583664089, 946847407, 12747050, 932888560, -1, 623686417, 692603874, -1, 68809765, 586960075, 920789290, -1, 33614870, -1, -1, 493336277, 800800723, -1, 766052474, -1, -1, -1, 31400040, -1, 200636547, 233098664, 686643671, -1, -1, -1, 689467286, -1, -1, 159187411, 18414582, 656919216, 945272708, -1, 396143421, 79334538, -1, -1, 501315126, -1, 98402453, 241646647, -1, 253927301, -1, 506678869, 873910704, -1, -1, 984245805, 236508806, 454123727, 14052974, 179802467, 515218388, 420590319, -1, 540111282, -1, 574856866, 909860933, -1, 938767171, -1, 112331789, -1, 184856548, -1, 276059850, -1, 543919635, 87935908, 508527455, 20711327, 166150986, 757558616, 437644280, 609878321, 752649707, 817831377, -1, 59647314, 885607176, 914394022, 221773677, 969059530, 853932176, 760003259, 844350741, 807414364, -1, 391816684, 695338971, 742116367, -1, 78964587, -1, -1, 21067046, 386541023, 605814250, 921850269, -1, 621414604, -1, 722083799, 458584033, 283522630, 862584130, 688989599, 762787575, 731344829, 45845433, -1, 611111463, -1, -1, -1, 409378026, 175624783, 419392783, -1, 370129654, 722564089, 72594748, 231209339, 980022506, 832513949, -1, -1, 481201618, 834907429, -1, 87006429, -1, 157027001, -1, 353180955, 398336962, -1, 308187412, 103788260, 485714073, 514491966, 150611826, 410408220, 493836189, 881244909, 598671147, 348520784, -1, 926748990, 143242610, 724855706, 846205395, 610081006, 939020368, 344596790, -1, 435712419, 979237741, 275923681, 313622874, 721419157, -1, -1, 258335956, 691133178, -1, 704697147, 313926848, -1, 615274827, 109096698, -1, 382353374, -1, 864736278, 492696842, 403356838, -1, -1, -1, 400140766, -1, 185139735, 929820075, -1, 401146654, 45212659, 893743026, -1, 129642129, 65662323, -1, 350093938, 435628692, 605185539, 892223188, -1, 207561677, 959462778, 653900733, 935993529, 729263242, -1, -1, -1, 886228001, 493052547, -1, 132210513, -1, 165247543, 421863658, 474906483, 845305826, 41500070, 88357968, -1, -1, 492096867, 735139146, -1, -1, -1, -1, 355813255, 373872106, 243349487, 806874602, -1, -1, 138631791, -1, 805521907, 526418847, 481831977, -1, 942982933, -1, -1, 664648747, 505993528, 311322166, 761928417, 266298279, 503586890, 542254349, 783847366, 174132952, -1, 488592965, -1, -1, -1, 631639714, 386385653, 103728881, 634748761, 483714659, 343978068, 77742125, -1, -1, -1, 806345283, 524718609, 217714666, 537125940, 392545014, 55940204, 897377313, -1, 197395255, 720399560, 566881132, -1, 404309822, -1, 442380316, 522014059, 997930947, 189596720, -1, -1, 97578558, 500872428, -1, -1, 481750683, 676543540, 445709818, 595717209, 818277253, 675623080, 603478347, 809375788, 393999575, 527948597, 403545096, 113759764, 114142726, -1, 522315643, 526821573, 507741797, 279677287, 30470310, 449857343, 931237366, 850237714, -1, 505528913, 340733185, -1, 264419432, 475944119, 767332436, 837613187, 698640355, 15729915, 699846304, -1, 444505226, -1, -1, -1, 397384436, 6377381, 919544671, 84974433, 671388752, -1, 297876547, 793683989, -1, 566532647, 356903904, 124853857, -1, 675491683, 62086528, 218543245, 274981731, -1, 598467827, 528453272, -1, 895509305, 916016806, -1, -1, -1, 55172407, 99167918, 4783693, -1, 112311295, -1, 761017035, -1, -1, 317983342, -1, 88050923, -1, 781723023, 110184877, -1, 360859378, 546811164, 723242864, -1, 69647193, -1, 311406887, 505813765, 942687132, -1, 269720682, -1, 962889187, 16228426, 433148425, -1, 423968272, -1, 611936338, 71007711, -1, 881574901, 610528759, 454828827, 261599424, 173818656, 115034987, 368535398, 866583733, -1, -1, 559912820, 862440791, 520157786, 532865277, 618089307, 926104876, -1, 612334249, 998238354, 24738983, 574221293, -1, 195937395, -1, 962176362, 605898815, 194422713, -1, 156204176, 170960267, -1, 741678459, 18524138, 856606044, 886284546, 439594289, 360194098, 654436880, 345575391, -1, -1, 347835401, 755792995, 215739988, 940845598, -1, -1, 822692746, -1, 598321298, 844494041, 7327661, 513342073, 169875862, -1, 724775118, 989461914, 842522699, 992881002, 284085599, 675103180, 415457582, 833880499, 566015517, 226654786, -1, 474588142, 233300916, -1, 295629031, 983149376, 185739465, 511920280, 426860192, 501498692, 677214252, -1, 434591121, 757808269, 947278733, 928445402, -1, -1, 568241395, 807583359, 722445353, 853435805, 831769733, -1, 710413415, -1, 358199153, 895804594, -1, 35402427, -1, -1, 84538343, 684943494, 181656674, 318154384, 338393117, 311906712, 207033841, 600852962, 452304927, 463010882, -1, 615826966, -1, 840236232, -1, 444083795, 472335492, -1, 858067367, -1, -1, -1, -1, -1, 120911111, 504462408, -1, 764620354, -1, 926936292, 94532583, 492984066, 116287385, 996713602, 669037147, 994069770, 588950549, 653605479, 478476713, -1, 194381119, -1, 216894968, -1, -1, -1, 181656939, 299694032, 578236390, 506194479, 161401394, -1, 768332453, -1, -1, 686776499, 192749535, -1, 265622784, -1, 605641005, 907102497, 42656508, 302689968, 340651621, 57951349, 190658627, -1, 322441213, 686406465, 615626266, 268807001, 544457231, -1, 787085936, 30461462, -1, 126567292, 373022901, 838245983, -1, 740534430, 700745979, -1, -1, 388752450, -1, 561968860, 843250501, 903488725, 882838787, -1, 578753690, 787486588, 535213100, 546546054, 798101408, -1, 983954554, -1, -1, -1, 914724609, -1, 761007997, -1, 211147105, 498907339, -1, 245250226, 303151940, 518589296, -1, 787289506, -1, 480533759, -1, 534421598, -1, 335816974, 655890583, 832588118, -1, 877640590, 420589117, -1, -1, -1, 61229984, 734911512, 86017455, 261452554, 487358392, 571153212, 740028840, -1, 558289500, 155539692, 725767022, -1, 811158582, -1, 611919513, 767869564, -1, 334125382, -1, 526149703, 63782224, -1, 429786504, -1, 57534503, 573136730, -1, 378441247, 328574349, 725394622, 417606353, -1, -1, 872198363, 630550364, -1, 692320928, -1, -1, 75657252, 629807342, 623846043, 904489499, 590843706, -1, -1, 478458394, 397803321, -1, 332549918, -1, -1, 156880952, 851055599, 692798307, 511563733, 377489965, -1, 334498437, 932568846, -1, 367578025, -1, 163198425, 685032011, 49469563, -1, -1, 791634218, 38536813, 74435781, -1, 767562198, 216580418, 462847983, 725072640, 540126544, 156432353, 208893228, 596746302, 214821238, 839892620, 887970973, -1, 939244915, 633746830, -1, 600856433, 373400284, 583500901, 512921385, -1, 708579085, -1, 895067826, -1, 710699346, 385126675, 570974295, 940175901, -1, -1, 425778580, 108724381, -1, -1, -1, -1, 253047774, -1, -1, 385291589, -1, 855015791, 25803701, 325266100, -1, -1, -1, 962161785, 511499133, -1, 158452950, 599468468, 308002491, -1, -1, 19965841, 74443067, 212044453, 311959467, 421481201, 660884106, -1, 60956902, 771089797, 218104914, 721398819, 285394946, 320244865, 923063519, 66518875, -1, 981014984, 646604389, 606829907, 644083062, 97038787, 753544209, -1, -1, 937136343, -1, -1, -1, 836862808, 51295136, 445889484, -1, 166731421, 367902749, 309278280, 668866194, 348818015, 828172309, -1, 918158981, 858837074, -1, 136768609, 812973085, 542557671, 615337062, 644851501, -1, -1, -1, -1, 271496905, -1, 898156986, 684174249, 903622659, -1, -1, 823786036, -1, -1, 593014708, 562012344, 320289385, -1, -1, 977289231, 935714305, 812515391, 297096641, -1, 756989456, 305406956, 527857132, -1, 795583371, -1, -1, 970119262, 14882320, -1, -1, 905397396, 662958140, 397966377, -1, 304968738, 391580916, 154384810, 791232742, -1, 428562676, 250632726, 848783028, 585930138, 288431832, 565770371, -1, 450939636, 45121203, 355023299, 693113658, 270964808, -1, -1, 343939986, 952268591, 821081115, 825061655, -1, -1, -1, -1, 780241367, -1, 364382443, 629234166, 563796931, -1, 492064171, -1, 117850532, 257061505, 924635759, 248049718, -1, -1, 7389480, 537084372, 649886674, -1, -1, -1, 230097940, -1, 599925875, -1, -1, 831945961, 132842491, 733521841, -1, 702677436, 477268026, 54084495, 642682571, 605324270, -1, 905514117, -1, -1, 893761935, 619795745, 112163064, 494711963, 189801457, 390740477, -1, -1, 962933253, 144742356, 564502793, -1, 41814209, -1, 3482073, -1, 332958647, 88886871, -1, 649220063, 332591013, -1, 958260658, 287076899, 916800227, 709175980, 9874897, 645444599, -1, 867142581, 712927169, 13497202, 259360193, 971560846, 830435292, 258192937, -1, 652579403, 967532247, 577093005, 204549618, 301156729, -1, -1, 15394080, -1, 15631934, -1, 126236337, -1, 802712337, -1, -1, 84365019, -1, 784606079, 336489760, 428151998, 309878869, 540133997, 319680548, -1, 21295925, 439334130, -1, -1, 684567875, -1, -1, 375574605, 211341299, 396224903, 324110801, 555276699, 841206065, -1, -1, -1, 161658884, 348436086, -1, 515563123, 506940316, -1, 723609952, 906552511, 177993422, 18971636, -1, -1, 852694568, 633757886, 444963905, 417744208, -1, 304275905, -1, -1, -1, -1, 304876393, 286264012, -1, -1, 618033745, 753359678, 358821706, 826223022, 227539870, 767542276, 185560498, -1, 704944101, 162069554, 715140653, 505224301, -1, 555828270, -1, 539343472, 713534979, -1, 112864007, 921986501, -1, 243388349, 471589253, 728201413, 711829751, 923860150, 73165908, 131470375, -1, 182301812, -1, -1, -1, 739219377, 156862890, 500718068, 169100648, -1, 755211572, 869656977, 555329948, 622015828, 947722661, -1, 885283172, -1, -1, 768300586, 338814053, -1, 115504397, 172265045, -1, 398395297, 332331183, 70054143, -1, -1, -1, 345928271, 474480619, 226573853, -1, -1, 951372548, 416475251, 915513743, -1, 890640390, -1, -1, -1, -1, -1, 294660899, 452520228, -1, -1, 337005705, 199622721, 190344826, -1, 480984894, -1, 385924725, 980723916, 209188728, 278043099, 316469276, 292816534, -1, 648575992, 674448374, 356097492, 44823042, 418008595, 427122636, 521419507, -1, -1, 103437710, 692723299, -1, -1, -1, 734642192, 318630466, -1, 837492619, -1, 80087889, 634441255, 938964729, 834270573, 909606959, 214166288, -1, 93784772, -1, 814638157, 116344004, 974627695, 821812900, -1, 753428792, 289132575, 24721505, 949632021, 112134540, -1, 499992458, 374276542, 706047062, -1, 2678595, 99707190, 15657426, -1, -1, 37730795, -1, 978021751, -1, 112859672, 248250878, 709342867, -1, 373952442, 403153744, -1, -1, 932148584, -1, 637783141, 999164572, 932304036, -1, -1, -1, 16281187, 263691601, 190310615, 908288099, 548707221, 166377785, 687922829, 49604603, 84416866, 211992825, 483067028, -1, 484138808, 346174499, -1, 432751455, -1, 943422915, -1, 919971673, 241594337, 106749539, 30079469, 793276958, 596648870, 858456071, 535177850, 746166631, -1, 87514983, -1, -1, 350180195, -1, 697776664, 54457404, 762952295, -1, 261870770, 511048691, 927966480, 797601573, 711078608, -1, 704864230, -1, 439595756, -1, 357109013, -1, -1, 961087644, 674394807, 743520948, -1, 223690285, 916103474, 988353448, -1, 712668250, 239328219, 658283486, -1, 4807063, -1, 167669252, 344180791, 370622549, -1, -1, -1, -1, 960001600, 654650163, -1, 645507927, 257220364, 887293842, 531998843, 798292404, 965850131, -1, -1, 647727004, -1, -1, 942064354, 379210422, 552167266, 447020399, 729781759, 844648976, -1, 632346321, 153063366, -1, -1, -1, 453387062, 174659776, 163519278, 647974584, 157230982, 925814241, 496424744, 975539835, -1, 586260306, 252746597, 983071044, 754971904, 917770135, -1, 656770202, 561283770, 243693402, 115866793, 568127507, 385807589, -1, -1, 819113910, -1, -1, 875366286, -1, 983050699, -1, 482006877, -1, 348771453, 551154497, -1, 602474110, 946255872, 979213452, -1, -1, -1, 222373483, 274354413, 435638450, 761309918, 631948075, 243254320, 235753355, 802758139, -1, 245072160, 537582720, 182005435, 758454890, -1, -1, 958603051, -1, -1, 423165648, 305096939, 109464, 42272686, 378541633, -1, 713011188, -1, 835266091, 759435462, 279006213, 722226847, 972393480, 230978828, 597195923, 931180478, 298040138, 848778665, 868503773, 444767576, -1, 336875495, -1, 232801753, 208206515, 439046635, 113890827, 246091274, 859255639, -1, 464464351, 881554534, 807445837, 7053266, 936007698, 224464963, 496240695, 811108841, 714392279, -1, 281199448, 298740289, -1, 794521161, 240040912, 2785721, 799301085, 819800717, 748543398, -1, 826225143, 881221444, -1, 719747631, 421798308, 806981638, -1, -1, 921608190, 637303645, 652683531, 748972845, 246470723, 559988072, 816789667, 907221179, -1, 779625543, 747130278, 286859167, 561511432, 677594253, 62717604, 162357866, -1, 164846323, -1, 167337854, 22041815, 474484890, 717653735, -1, -1, 426594521, 562596924, 383457807, -1, -1, 196094627, 408440773, 127286459, 106830885, -1, -1, -1, 931902162, 915263933, 586542688, -1, 673367555, -1, 932125166, 626774755, -1, -1, 439683892, 854522941, 622447320, 141773047, 714773658, 709498690, -1, 945340548, -1, 551727990, -1, 746520583, 3408366, 699588326, 168954127, 45204087, 147529526, -1, -1, 162613275, 101840522, -1, -1, 942649403, 220091095, -1, -1, 843074346, 214094214, -1, -1, 269784890, 226089517, 753061490, 323268481, -1, -1, -1, -1, 816735649, -1, -1, 44828643, 347070028, 997521353, 358963524, 171728262, -1, 275393931, 481312414, -1, 631667245, 323107194, -1, 625307473, 48893152, 111399976, 693947506, 657331078, -1, 530963683, 527559967, -1, 787728835, -1, -1, 799361065, -1, 987875872, -1, 678529678, -1, 30884397, 327703776, -1, 588098814, 352169314, 502884232, 477146755, -1, -1, 277838123, 670527357, 53686733, 897833826, 433222596, 314338866, 982391899, 313037783, 496159976, 866540822, 591156457, 278967940, 194906023, -1, 926086514, 176731393, 317264014, 121094381, -1, 503225849, 408765295, 262721500, 699768149, 9915891, 488252614, 294714346, -1, -1, 395704895, 359145712, -1, 822846864, 146809244, 128791667, 325085300, 254473390, 686751742, -1, 866573114, 830076250, 667384716, -1, 520381475, -1, 604410460, 449967293, 346798486, 739412278, 48348446, 706967034, 515187798, 310081040, 587150109, 108243380, 600834113, 611101813, 165298820, 630456607, 867970317, 888500529, 180578807, 432213949, 767405680, 946042857, -1, 245165055, 881496038, -1, 832707985, -1, 193129619, 771270357, 309176089, -1, 30937590, 620371694, 185716856, 309514325, -1, 506241901, 707184244, 759250872, 317771078, 967386792, -1, 350300732, 211194257, -1, 883372504, -1, -1, -1, 393287436, 341144467, -1, -1, 951994511, 575180594, -1, 840959327, 734927407, 3925045, -1, -1, 447015369, 719721659, -1, -1, 550325320, 768434194, 14171389, 505339386, 37675434, 392936434, -1, -1, 879799370, 798237607, 4869543, -1, -1, 592977913, 52079057, 577651681, 418712588, -1, 678174401, 877694718, 667995294, -1, 131072205, 742668026, -1, -1, 381195721, -1, 306084335, 927879283, 6018131, 409781494, 642746344, 329031254, -1, 317561146, -1, -1, -1, 93445036, 493418708, 797774029, 424660242, 88675037, -1, 457809408, 220971346, 595174765, 208061250, 127150682, 802109290, 356407546, 399478465, -1, 282148029, -1, 301681185, 416601418, 526156105, -1, 752894566, -1, 999364505, 677376676, 64462862, 112582681, 378823723, 872081149, 660329696, 256234303, 402701388, -1, -1, 655121694, 612628987, 635244836, 316092620, 964090275, -1, -1, 572915348, -1, -1, 599163420, 642887810, 710768885, 389856178, 231748810, 56422068, 64615383, -1, 590253856, 408342579, -1, 883755264, -1, -1, -1, 313735160, 152221942, 763348122, 976217536, -1, 241092041, 362580072, -1, 962387366, 119037407, 56670165, 382352904, 470422916, -1, 228555290, 721447035, 979428969, 847415091, -1, 714007094, 936351138, 748772484, 724214338, 206813085, -1, 853321410, -1, 676008290, -1, -1, 532681092, 368134922, -1, -1, 363119376, 227242944, -1, 412466740, -1, 934111158, 196979399, 196728684, 357126765, 703299925, 801932131, 789486797, 69774706, 785621906, -1, 762017746, 161712365, 766280530, 312946167, 549170416, 13333361, 786879745, 829761119, 185516148, 407195889, -1, 823622705, 436974376, -1, 654357908, -1, -1, 937179177, -1, 612283949, 823480034, 126071137, 852593377, 977614383, 167653283, 343874031, -1, -1, 435466228, 442601586, 262504894, 522742388, 858439483, 754582700, 778460858, -1, -1, 558365470, 475307472, -1, 417862103, 679715222, 178517022, -1, -1, 248728928, 383136608, 903281627, 582873745, 820479145, 887393541, -1, 149551176, 240907547, -1, -1, -1, -1, -1, -1, -1, 968185681, 255246486, 888538156, 53335140, -1, -1, 387949797, 437707884, -1, 765904271, 164608657, 913053641, 40977940, 55311435, -1, 53238268, -1, -1, 417302974, -1, -1, 298382574, -1, -1, 515209466, 373242079, 823232743, -1, 999327900, 246694356, 940464961, 322468288, 716998593, 480540504, 192800774, 98996669, 727832686, -1, -1, -1, 256690289, -1, -1, 46562551, -1, 363143919, 632891915, -1, 888026553, 142721069, -1, 391219017, 489384239, 175612748, 154196093, 978265342, 281683413, 936627507, 667522068, 732942291, 527903767, -1, -1, 508278248, -1, -1, 775079665, 158172657, 730757010, 265634071, 884253108, 988225956, 829495745, 450546444, 855179122, 502814950, -1, 628341961, 448420528, -1, 316607565, -1, 712802165, 511721998, 84017174, 483625515, -1, -1, 850752078, -1, 856047231, -1, 285470951, 605587288, 489633258, -1, 783295501, -1, -1, 266466083, 409249045, -1, 929661504, 100754749, 456838106, -1, 842007304, 575246413, 564356186, 521948113, 800390165, -1, -1, 273481770, 913777264, -1, -1, 849846095, 483607602, 979144512, 391450837, -1, 615854326, 272072399, 933237110, 843166673, -1, 816961250, 819643183, 449219324, -1, 170302297, 787068965, 665015284, 879379207, -1, 835859942, 467412707, -1, 75148013, 282715462, 84631727, -1, 642112845, 190731193, 178592304, 550189025, 314048949, 918205667, -1, 963403509, -1, 725795573, 966810778, 997714140, 121268709, 496014975, 828991572, -1, -1, 961792415, 406398554, 787861892, 19347378, 25121821, 810317187, -1, 600299411, -1, -1, -1, 51419687, 655607818, 686402962, 704974992, -1, -1, -1, 487991034, 932024050, -1, -1, 229463430, 808730095, 895999703, -1, -1, 533164213, 767736890, -1, 147536417, 416721388, 801805566, 296296292, 30519968, 884344875, 226523532, 869134317, -1, 72193493, 131848489, 274403288, -1, 688430572, 70632364, 650382775, 95520823, 654854578, -1, -1, -1, -1, 52723654, 737209653, 671930639, 166023803, 558307768, 288170300, 485662422, 295261754, 502849344, 987980162, 593682266, 463580936, 774050665, -1, 3098197, -1, -1, 209493041, 592613488, -1, 267888549, -1, 843068733, -1, 491859980, -1, -1, -1, -1, -1, -1, 623388650, 703432704, -1, 221638250, 606244744, 921338411, 632049593, -1, -1, 183572399, 23291110, -1, 452508420, 490687002, 39157426, -1, 833249149, 714692795, 473241133, 110874778, 551445112, 923745269, 662604792, 126646214, -1, -1, -1, 467624827, -1, 283352757, 47222146, -1, 276556616, 799446717, -1, 630472612, 322568711, 923453169, -1, 812627356, -1, -1, 473303651, 112433780, 106441945, -1, 650142976, 871402428, 981666177, 882927877, -1, -1, 300812398, -1, 837351473, 246847253, -1, 500363118, -1, 11461755, -1, -1, 124758821, -1, 268446096, -1, -1, -1, 656509000, -1, 906814325, 978555204, -1, -1, 76461817, 714133394, -1, -1, 424076967, 71316495, 815271254, 486454498, 624824764, 766888418, 388429625, 337893369, -1, 370311326, 759508185, -1, 902860357, 550943324, -1, -1, -1, 84669415, 260825717, -1, 332681451, -1, -1, 552106305, -1, -1, 734800369, 454904617, -1, 383503269, -1, 364336474, -1, 607044735, 940700090, -1, 170906893, 446008971, 498327382, -1, 261571707, 393405399, 178041754, 35982617, 241932337, 166367141, 137290907, 18733498, -1, 40489267, 895734916, 801451049, 130645654, -1, 666570030, 605351744, -1, -1, 62287294, 9617479, 159628416, 962268033, 718730995, 835275370, -1, -1, 730188345, -1, 345750317, 81660700, -1, 845845580, -1, 199577642, 60596273, 673599630, -1, 412176600, 188761844, 899262017, -1, 339432187, -1, -1, 963685901, 22907066, 847181208, -1, -1, 181748133, 264341598, -1, -1, 591917751, 158038277, 703646855, 442704652, 916942369, -1, -1, -1, -1, 629730365, 658559502, 192253195, 848412654, 60438632, -1, -1, -1, -1, 420791154, -1, 41224849, 671246479, 907863689, -1, -1, 645455017, 835077928, 954100562, 689591673, -1, -1, 188761446, 174742502, -1, 197399254, 739728736, 847121270, 789528652, 124837600, -1, -1, 545847501, 556043940, 112559620, -1, 489415736, 24431161, 893162528, 433199833, 307171544, 768222877, 349315112, -1, -1, 826056434, 850924603, 488758387, 768844395, 237674452, 861520153, -1, -1, -1, 881591369, -1, -1, 656198155, 84408378, 519505703, 748409510, -1, -1, -1, 471210423, 811798263, 852599665, 819353546, 123049465, -1, 779611108, -1, 369843098, 133746241, -1, 385827426, 841771585, -1, 183119024, 946285543, 853750002, -1, 563486280, 609772004, 413495454, 564268541, 426629429, 855646395, 447947476, -1, 489492316, 94552626, 616661766, 228767758, 440220104, 245861730, -1, 778967454, 630531402, 218882570, 492917274, -1, -1, 699274269, -1, -1, 375288486, -1, 369824029, 416407137, 223891180, 518962031, -1, 465996388, 588979618, -1, 834033980, 481150071, -1, -1, 335487924, 362178015, -1, 579272650, 950937670, 952157060, 512540591, 965585336, 798297311, 243258896, 347261436, -1, 462301734, -1, 258066193, 774554096, -1, 823355138, -1, -1, 717382669, 891409647, 662209012, -1, 942097430, 46380380, -1, 912542146, 909182255, -1, -1, 672261687, 851394900, 289107309, -1, 350901715, 909972777, -1, 697758568, 152085326, -1, -1, 577305064, -1, -1, 215434934, 427849237, 551705182, 150530016, 756296558, 656206179, 419336403, 160860824, 460568293, 746396166, 542920463, 934221348, 752205870, -1, 244906337, 660921646, -1, -1, 873344290, 559309327, 469856227, 291127842, 879463805, 432534890, 946874291, 99135303, 700869518, -1, 516394924, 837882268, 399048708, 644409088, 616399487, 529585491, 317843119, 515948699, -1, 644186382, 447588630, 36656207, 25391758, 237511666, 322224016, 606729758, 202590248, 905840537, 537153281, 919931136, -1, -1, -1, 463177069, 252612927, 343362829, 666361099, -1, 287959048, 639389512, 438112684, -1, 552733105, -1, -1, 367778203, 145996919, 600198114, 491096860, 511471348, 237855215, -1, 112743869, 741978929, -1, 345366861, -1, -1, 241152980, 304459576, 969113932, -1, 624938174, 350292069, -1, 269951850, -1, 753212078, 345936917, -1, -1, 767428910, 249133251, 516934542, 630620823, -1, -1, 924794443, -1, -1, 413451834, -1, 351579041, 86498496, 475681932, -1, 387368875, 756720862, -1, -1, 53146142, 400342428, 349444071, -1, -1, 331878100, 978107778, 687069171, 995400077, 655767412, 983569674, 683277870, 957017078, 416752318, 322699623, -1, -1, 583491553, 207346440, 848542886, 180634327, 431143469, 542463754, 809106009, 318093597, 784795466, 824346443, 300830165, 345238466, 485998103, 812687451, 347840713, 692257058, -1, -1, 437437541, 993427450, -1, 538934923, 889338893, 111543589, 970436994, 631643824, 814632162, -1, -1, -1, -1, -1, -1, -1, 426641298, 447322887, 283616595, 440433792, 621285839, 980146873, 893240414, 453809319, 484322613, 493978692, -1, 618520617, -1, -1, 312191868, 603282923, 414788528, 683324026, 830007072, 292130958, 231033989, 104177034, 279250302, -1, 51238488, 93646816, -1, 608179476, 173907012, -1, 888150134, 627756978, 919651996, -1, -1, 251516178, 563489957, -1, 901887312, -1, 312562082, 637656208, -1, 39913281, -1, 826644993, -1, 19318270, 151575934, 356334675, 803530996, 802545494, -1, 458024287, 251700598, 50045123, 663724150, 205220591, -1, 540635895, -1, 905684325, 331521569, 622684640, -1, 471228194, 244435088, 279482470, 616252083, 731464180, -1, -1, -1, 830569972, -1, 85579063, 872543501, -1, 63347860, 134073449, 757926225, 753961440, 909326126, 14387109, 835581388, 976407043, 687523433, -1, -1, -1, 733852239, 752444392, -1, 649718377, -1, -1, 477274619, 776643694, -1, 556137402, -1, 12818572, 915761347, 750969442, 241599807, 454157138, 762339719, -1, 550526938, 664098137, 40430929, 765384958, 260896983, 40177286, 946644916, -1, 312511374, 94023687, -1, 606216014, 985963815, -1, 569192332, 139450697, 843669544, 623662101, 394820303, 674527048, 121419625, 794556118, 580389423, -1, 487956652, 194576075, 328843206, 282484828, -1, 300546887, 848690074, 867756436, 548204304, 801638012, -1, 698586647, 995434591, 906686491, 832506063, 848561504, 455766755, -1, -1, 965926238, 590597125, -1, 496423117, 828510503, -1, -1, -1, -1, 628823785, 446604754, 925848919, 378796133, 374438702, 343585894, -1, 862086516, 102807408, 975550837, -1, 815015080, 601004821, 908746283, -1, -1, 587658414, -1, 438644999, 864617444, 743820149, -1, 146733595, -1, 809564890, -1, 795466953, -1, -1, 600880010, 139872617, 988467956, -1, -1, 139855069, 160188027, 473816098, 139236089, 123149894, 317757429, -1, 586880970, -1, 989571869, 341360174, 82152295, 316587049, -1, 544157900, -1, 458474515, 402254114, -1, 795371184, 103657376, -1, 628949650, 345512941, -1, 951516070, 793913927, -1, 360796003, 920753479, 260565282, 427806472, 521969385, 20290005, 270079877, 243841555, 966821709, 781911391, -1, 359345682, 264916680, 97883149, 539441308, -1, -1, -1, 477475932, 33190620, -1, 999223822, -1, -1, 144333047, 32073002, 517017687, 538804266, 518747764, 399406908, 38148536, -1, -1, -1, 299117772, -1, 464037690, 442217471, 239203759, 593286650, 895849321, 813554504, -1, 143164634, 871755699, -1, 846352651, -1, -1, 864478580, -1, 261583978, 843662537, -1, 208877829, 554538019, 779929219, 507886644, 556038014, 339975873, 965315398, -1, -1, -1, 538789747, 799613369, -1, 673568799, 349047562, 391044391, 233995885, -1, 157378084, 203583292, 977275883, 277611612, -1, 524346359, 996799567, -1, 576223179, -1, -1, 428797856, 99686900, 316710014, 20115725, 553400860, -1, 726102152, 399869155, 771028705, -1, 703650744, 43876521, 282789630, 444529246, 361938716, 540968978, 792636478, -1, -1, 945135199, 449933432, 903219500, 821152681, 673926794, 446603377, -1, 631201840, 219548058, -1, 830561751, 961271434, 733569608, 79882884, -1, 23134466, -1, -1, -1, 280844614, -1, 109516317, 793226077, 706346204, 41199894, -1, -1, 502192298, -1, -1, 333695775, 796640796, 302996583, 102432693, 780740854, -1, -1, 819256554, 648103331, -1, 122554013, 172165066, -1, -1, 153263798, -1, 855628091, 696914014, 243820724, 726400960, -1, -1, 236650960, 977931696, -1, -1, 995201316, -1, -1, 704240353, -1, 734992105, 473142194, 297225237, 444646025, 892295529, -1, 208830540, -1, 621883479, 981464279, 302881784, 285472594, 212430608, -1, 256901287, -1, 829024572, -1, 920109828, 638977099, 497417475, 428718419, 757452289, -1, 755132848, -1, 803826873, 41358584, 119440131, -1, 754043942, 754449865, -1, 329147596, 992564690, 618632254, -1, -1, 316433443, 857402073, 751495386, 366937725, 885243751, 703956359, -1, 320634524, -1, 209947790, 258212791, 736100206, 159494001, 64848241, -1, 77755745, -1, -1, 572287038, 571575436, 463238489, 869166484, -1, 116440756, 147472476, 439992038, -1, 27164600, -1, 484446623, 529726002, 707445564, -1, 857661143, -1, 332973653, 359753532, 774433066, -1, 630505306, 666948910, 595377441, 283619950, 349978502, 148750032, 895582106, 404275818, 811652891, -1, 876136776, 837525372, 920013416, 114930347, -1, 623195570, 538165214, -1, -1, 682286032, 635675093, 165084268, 733812839, -1, -1, -1, 944001075, -1, 399709231, 627981638, 878973467, 429755451, 780410489, 798968963, -1, 431294805, 328175695, 946175276, 106217208, 246306, -1, 985083018, 902292327, -1, -1, -1, 223436841, 852522473, -1, 408995123, 837084313, -1, 194933876, 659013943, 877148857, 236417014, -1, 487990029, 113473317, -1, 301144050, -1, 306539199, -1, -1, 102224352, 147753214, 327876730, 204350648, 420676569, 749805840, 384220865, 661570766, -1, 692833801, -1, -1, 910448048, 563984455, -1, -1, 718028407, -1, -1, -1, 120994065, -1, -1, 573865217, 717458660, 709620833, 856649051, -1, -1, 712971446, 564073096, 990634359, 397989984, 40283186, -1, 341836667, -1, 338391090, 110663437, 207137005, -1, 703535660, 78176444, -1, 381864441, 938255819, 467033709, 166623393, 794064955, 636280092, 923557476, -1, 886099019, 449173192, 48367933, 594299384, -1, -1, 122722703, -1, 498077422, 438989167, 717109573, -1, 937654721, -1, -1, 670265173, 68653912, -1, 56309167, 958788444, 837220463, -1, -1, 113178252, 569408307, 945485832, 132048865, 694806942, -1, 562934099, -1, 637545835, 375072150, 821976143, 167996806, -1, 510515000, 316649390, -1, -1, 5959665, 579462613, -1, 210917204, 305762788, -1, 947833983, -1, 54403441, 564616239, 875428500, 741743017, -1, -1, 138475540, 822600368, 501555361, 475329347, 64904548, 468580552, 950965726, 728533508, 470572453, 300057486, -1, -1, 6823763, 307399393, 794028214, 303672297, 414160420, -1, 542109714, -1, 833797319, 125521839, 336990526, -1, 709732905, 774315655, 18911795, 59061603, 787417414, -1, -1, 907939112, 40685909, 207409723, -1, 304431770, -1, 299257092, 953798033, 607593885, 443064709, 648794978, -1, 393467010, 773862856, 325963095, 83057313, -1, 944478490, 601802536, 505538559, 986965145, 521864862, -1, 257068082, 448725577, 333850426, 765504113, -1, 531502537, 175106578, 745911858, 213773200, 72619826, 750700131, -1, -1, -1, 997804270, 27052523, 351019384, 951588275, -1, -1, 227695077, -1, 438415179, 59721330, 671143168, 127381322, -1, 6608690, 113008634, -1, 839905889, -1, 764392727, 355006321, 529739080, 672487216, 507053247, 137879463, 646307390, 744254936, -1, -1, 836541665, 407955172, 142911880, -1, 335817583, -1, 49413120, 496695532, 811486241, -1, 925410254, 932512525, 458660686, 549502368, 445777183, 910944771, 444703146, 409501636, -1, 284336130, 522617897, 585652563, 812551497, 353562579, 50053074, -1, 244722397, 832648398, 817764935, 149975080, -1, -1, 56631758, 452146050, -1, 418574548, 964928719, -1, 686229463, -1, 745625089, 573465150, 958115975, 662075577, 605914693, 369951908, 638797249, 273750884, -1, 363495822, 912729879, 329131566, 155021494, -1, -1, -1, -1, -1, 959122219, -1, 861935282, 249526534, -1, 792484527, -1, -1, -1, -1, 701243475, 480013178, 160609880, 698510677, -1, -1, 34542408, 546331319, -1, -1, -1, 93491670, 321454767, 815609539, 891329422, 942208176, -1, 278657999, 711399680, 58320898, 838024321, 753842929, 193076178, -1, -1, 552638865, -1, 676251800, -1, 613387414, 952202601, 889725625, -1, 293025343, 466479229, 789481362, 498920865, 34319438, -1, 536415192, -1, 787624833, -1, 348706960, -1, 779555232, -1, -1, 541610429, 486989940, -1, 376229430, 731511027, 450650540, 776319272, 814419801, 827270292, -1, -1, 186794638, 130529203, -1, 331404793, 198961865, 874945007, 218103264, 157740599, 833289548, 884359651, 647077140, 879567146, 643518140, -1, 391091496, 588272920, 637703486, 413728910, 877728502, 895679855, 821482053, -1, -1, -1, 147800425, -1, 120121009, 787527783, 226617961, 673566417, -1, 962402979, -1, 679390936, 62502150, 399431052, 529953596, 70858021, 881102831, 296706129, 141100518, 759557423, 715485010, 913484841, 852241565, 623034647, -1, -1, -1, -1, 711684263, -1, 17679269, 150027609, -1, -1, 873857031, -1, -1, 442519303, 217613752, -1, 421244728, 462300133, 479403276, 167627815, -1, 12189401, 977105865, 59705843, 583654428, -1, 367477876, -1, -1, -1, 206236205, 589172960, 834404997, -1, 875555014, 151023726, 57894687, 469260910, -1, 997651978, -1, 980067251, 412135974, 809183390, 820908513, -1, 496489207, 882074116, 381600747, 385806253, 792441499, 810889617, -1, -1, 596858510, 998945202, 284408290, -1, 923676589, -1, 899365202, 201509140, 296248683, 865883714, 343960528, 544083505, 472780634, 400250760, 969540385, 990682447, -1, 254865300, -1, 162252191, 993573268, 13411910, 574294875, 338281860, 766595529, 857992515, 905167227, -1, 612404569, -1, 501846352, -1, -1, -1, 884779237, 585607828, 48263539, 469481313, -1, -1, 141210473, -1, 910806531, 15259554, 66941769, 347059434, 169052774, -1, 899377315, 952298170, 182053107, -1, -1, -1, 852521059, 854999513, 322131968, 840147697, -1, 548174924, 572059718, 551964925, 363829597, -1, 617362935, -1, -1, 725970171, -1, 927495304, 976858327, -1, 729785784, 760266201, 533113581, -1, -1, 600779481, 74974853, 782478560, 284939303, 995835914, -1, -1, 210485793, 151748642, 435158305, -1, 330413958, -1, -1, 365330819, -1, 694336616, 188581819, 669229518, 699221095, -1, 313718483, 275474209, 654555209, 99826111, 57699615, 791776756, 656192704, 41671527, 448028588, -1, -1, -1, 408252114, -1, -1, 25257195, 164317005, 58026318, -1, 641032423, 641953711, 60406157, 267210231, 339628063, 280397607, 729323254, 104015990, 562605296, -1, 600153418, -1, -1, 973797965, 494711440, 557102746, 483574896, 724819157, -1, 806956931, 841720793, -1, 564626318, 598007937, 31538957, 194608277, -1, 587421950, 596091490, 74410139, 969971789, 179549532, 709838869, 985357430, 996691924, 837108027, 268133849, 119337402, 321964713, 77289448, 927011334, -1, 55095935, 592260914, 271624761, 812161753, 810677469, 495188974, 404295672, -1, 65570760, 647637521, -1, 539855783, 98981438, -1, 416715754, 130438443, 35809293, -1, -1, 415969034, -1, -1, 188800817, 275205525, 306581937, -1, 716640235, 146635938, 115219408, 542247984, -1, 796802227, -1, -1, 355805116, 223461934, 533762232, 577751344, 34324544, 896027823, 401339164, 434722597, 504419334, 319619002, 212241294, 303377257, 806115735, 814975864, 555845263, 343678580, -1, 13884300, -1, 824787491, 976070082, 847098745, -1, -1, 539045364, 320856884, 919729242, -1, 712378571, -1, -1, 445396945, 132775703, 470540349, 558381554, 132246424, 272530490, -1, 814271646, 923847553, -1, 794514908, 404300332, 25824149, 671805464, -1, 741697195, 393274797, -1, 511053274, -1, 396790862, 706781901, -1, 440699438, -1, 186683515, 139229532, 772255207, 314611053, 847413316, 887868413, 972208465, -1, -1, -1, -1, -1, 767212885, 43950078, 604373791, -1, 702692221, 390596530, 651699187, -1, 399843754, 774061818, 409096510, 568760766, -1, 683489805, 851416209, -1, 329546286, 900300280, 992076375, -1, 924806062, 133361643, 161105957, 710273610, -1, -1, 555186147, -1, 737129038, 285861908, 258024738, 157613272, -1, 776955617, -1, 487271295, -1, 340277942, 63622248, -1, 257701302, -1, 435171945, 494007955, 833625219, -1, 381299150, 6041679, 377540657, -1, 219000396, 578786984, 579724057, 866057131, 223213587, 840822700, 141017285, 638096159, 727062252, 803278479, 138651843, 338013212, -1, 414610811, 736436807, 573873941, 781140181, 490737992, -1, 533060736, -1, 863319495, 95485043, 7226393, -1, 140271876, 115348277, 540982035, 144478961, 201609788, 179046844, 339657601, 494753202, 492425178, -1, 266783553, -1, 51925954, 537318394, 584909105, 944834484, 282074468, 938028537, 472855164, 848956401, 481231761, 483561052, 932155647, -1, 377832718, -1, 767569269, 547218636, 297726206, 922917870, 456144717, 846868074, 687593200, 48633008, -1, 942411585, 792579001, -1, -1, -1, 516039366, 831774756, 537478094, -1, 112686619, 434987652, 101683590, -1, 538178108, 674836566, 588106043, 610976558, -1, 986828563, -1, 555177062, -1, -1, -1, 275367086, 831368392, 459660392, -1, -1, 57956756, -1, -1, 727958744, 508074367, -1, 291020074, -1, -1, 209296388, -1, -1, -1, 637760401, 45617847, 437281038, 687425837, 57605826, 343270097, -1, -1, 962151804, 494663442, 843563292, -1, -1, 208170383, -1, 75013042, -1, 735417038, 940177623, 548434291, -1, -1, 507790281, 766268792, 823563117, 85644107, -1, 196414122, 198424438, 736493762, 107957458, 200761384, 897771491, -1, 671803053, -1, -1, -1, 250534881, 564677953, -1, 875399858, 478068594, 148910448, -1, 20082524, -1, -1, 372319635, 16489037, 449170258, -1, -1, 905846439, 476275910, -1, -1, 647181954, -1, 52237688, -1, -1, 270353576, 424398370, 311586290, -1, -1, 758961385, 179585530, -1, -1, 443604172, 189444193, -1, -1, 983855492, 910063598, -1, 287712134, 423642448, -1, -1, 819423094, 645835299, 9421018, -1, -1, 8673199, 166374605, 462196689, 604315373, 891778701, -1, 354605997, 52005724, 929429957, -1, 666541525, 821713239, 589517371, -1, 668239553, 969380824, 365082119, -1, 702027023, 347601320, -1, -1, -1, 668510902, 330455340, 967355621, -1, 286728395, 505057714, 413550942, 528523295, 349297886, -1, 939226446, 975220722, 301123192, -1, 565248824, 908393944, 99609540, -1, -1, 913481298, 707413454, 807160680, -1, 376654297, 728887070, 832239729, 556089673, 891166594, 361427253, 82074386, 310468212, 770276998, 893018681, 217057790, 761587068, -1, 237225667, -1, -1, -1, 180220600, 680868047, 377155143, 413256755, 893189910, 412636068, 662958217, 212287912, 805574853, -1, -1, -1, 767947310, -1, 955494548, -1, 161140093, -1, 880706446, -1, 290999722, 118848347, 63697301, 580613872, -1, 187108187, 675750566, -1, 935716812, 949230906, 268941214, 532432924, 898796406, -1, 730298621, 70444558, 79872711, -1, 335889123, 318625655, 263544623, 247456157, 682352057, 98209354, -1, 345573524, 580344967, 738942400, 24086910, 133302108, 442606383, 660861546, 91081031, 964795567, -1, -1, -1, 331171388, 870150641, 942008675, 560813501, 486517996, 92052220, 237359005, -1, 960821024, 493181803, 787414469, 447061212, 102449887, -1, 552283478, 932856483, 174560098, 69876653, -1, 404576904, -1, 90859429, 575692722, 240382181, 228218049, -1, 379115930, 441734460, 372973758, 261588036, 458439464, -1, 530492, 231720015, 658824252, 319815897, 14416185, -1, -1, -1, -1, 550398287, -1, 580847706, 237572568, 927833798, 191141500, 979986118, 317060049, -1, 291926150, 490870945, 683826057, 280709953, 846449256, 74476486, 627523608, 559165341, 265347695, -1, -1, 898336788, -1, 164957019, -1, 96067098, 445636243, 694252208, -1, 392316127, -1, -1, -1, 886669004, -1, 26727468, -1, 967844603, 924983, 9633307, -1, -1, -1, 158528806, -1, 101719990, 207739461, -1, 954456881, -1, -1, -1, 775396862, -1, -1, 198762371, 928783905, 705418058, -1, -1, -1, 791451423, 790492512, 843866992, -1, 301535434, 742061054, 691028157, 730607642, 21407992, 816073016, 318946382, -1, 874514371, -1, 792158104, 30357196, 609342728, 342515666, -1, 514574697, 221085491, 699944967, -1, 100545673, 478644767, 211620523, -1, 453097546, 702031476, 969151514, 894116467, -1, -1, -1, -1, -1, 578769048, 637823365, 713559579, 311306790, 793769631, 82747902, 145465586, -1, 716203505, 818609192, 274621909, -1, 256512715, 662469608, 193698045, -1, 229484264, -1, -1, 582411921, 916043099, -1, 435848358, 140866464, 115714647, 553735684, 958118525, 638969844, -1, 153161683, 662989827, 374694501, -1, -1, 101074469, 178864533, 873917273, 167733979, -1, 67436414, 853945238, -1, 852612959, -1, -1, 844715974, 540924831, 625774421, -1, -1, 546766112, 753584194, 647290782, -1, -1, -1, -1, 45107781, 238270809, 985992539, 431685046, 132250473, 288552193, -1, 15492, -1, -1, 623108339, -1, 973867669, -1, -1, 796579211, 103556138, -1, 562731202, 161013802, 891091006, 206958955, -1, 11787885, 918428025, 730841238, -1, -1, 415747095, -1, -1, 427836073, 325682475, 357562339, 68846600, 853029493, -1, -1, 25171583, 651849744, -1, 654353014, 167463595, -1, 798826870, 713103150, 248800493, -1, 490931928, 775318177, 506827189, 566026222, 744155962, -1, 769533086, 233479338, 603749313, -1, 116038041, -1, 957285094, 804074272, -1, -1, 179150217, -1, 666812605, -1, 821276624, 155808672, -1, 379501584, 745675874, 656889962, 694306565, -1, -1, -1, 985855332, 243954768, -1, 633000448, 884385952, 506658835, 786376895, 17786177, -1, 392694744, -1, 437262893, -1, 94651004, 673194195, -1, -1, -1, -1, 513901770, 636759265, 368970486, 170847310, 480244653, -1, 711006163, 743582266, 53158613, -1, -1, 329310827, 827899690, -1, -1, 403100618, 187215269, 947655836, 347272255, 170334677, 935000008, 138446834, 280135455, 849060001, -1, 338598264, 121832676, -1, 456648509, 396342746, 3820541, -1, 657352160, 858301374, -1, 602229055, 332016473, 211857210, 633271417, -1, -1, -1, 829567318, -1, 303471740, 199796774, 346847825, -1, -1, 552227594, 654702845, -1, 451168790, 429501731, 197538760, 404108799, 837953362, 976074327, -1, 886668524, 472080598, 627794944, 489436062, 656966415, -1, 23903118, 540281413, 764267797, 38606641, 942177279, 72383441, 112678364, -1, 245042477, 285122548, 419047752, 805653718, 871147871, 129913772, 726345236, 480605894, 684563442, -1, 795710684, 218004419, 393281886, 162911929, -1, -1, 168548611, 48390255, 321582091, 737538053, 20882539, 766190171, 399046754, 222957198, 649702055, 135344177, -1, 4159348, 881014735, 74063202, 621518019, 608633554, 788470700, 395641568, -1, 850761745, 596041062, -1, -1, 939870700, 984243227, 546634837, -1, -1, -1, 820794486, 93179679, 905282640, 737116168, 70475374, 673782072, 581977451, 904838513, 592850373, 583977479, 894108586, -1, 186526976, -1, 49893474, 47888366, 361864881, 78642031, 792402822, -1, -1, -1, -1, 737140021, 841845249, 810861709, 734730817, -1, 686530766, 479186455, 783223970, 706533691, -1, 998632435, 127791497, 965676756, 300359237, -1, 210854666, 951385675, -1, 235370901, 886592881, -1, 244630027, -1, 678133327, 651457894, -1, 671882748, -1, -1, 241204840, 117825981, -1, -1, -1, 883364100, 762125423, -1, 60421091, 109260125, 208424647, 424649487, 863278582, 176566305, 529364060, 708640912, -1, -1, -1, -1, -1, 434195407, 832528275, -1, 839865304, 92797230, -1, 148300080, 277300978, 48679063, 807540620, -1, 109268080, -1, 593615948, -1, 218003968, 343604941, 338393515, 882665647, 792858887, 752830294, 722532678, 354228598, 404178862, 996681297, 969561642, 75640387, -1, -1, 513635244, 791378487, 623308384, -1, 541992193, 29729022, 984009395, 277543897, -1, 790219570, -1, 404990394, 61150138, -1, 573035338, 966722268, 587480784, 752657317, 573830114, 289494473, 810831793, -1, -1, 34901151, -1, 178206194, -1, 37803260, 419439760, 347487800, 186480026, 765844057, 389715313, -1, 741987853, 104639921, 977143366, 746719595, 482331710, -1, 686304397, 817934100, 67887465, 367495666, 614926167, 293272543, -1, -1, -1, 904271248, 486591660, 815282328, -1, -1, 336382013, -1, 904613708, 951751987, 698438111, 957250072, 605283387, 685505685, -1, -1, 960126422, -1, 303023092, 401212071, 393051313, 864071024, -1, 434408279, -1, 43053590, 218226476, -1, 879061131, -1, 894935046, 227799864, 676424545, 307311826, 665388096, -1, -1, 446172347, 633230754, 433256548, 205979511, 590518628, -1, 99281401, 717159646, 165748420, -1, -1, 39963713, 570573695, -1, 752124041, 809375944, 619519723, 978202430, 961727928, 657152955, 116925188, 997343317, 957638548, -1, 758764775, 533437240, -1, 733321828, -1, 86572910, 921774067, 626904972, -1, 67054267, 595578371, -1, 105729272, 410945576, 282239375, 744436088, 976856493, 197761056, 348018922, -1, 435880039, 612640650, 605322059, -1, 883162163, -1, 863475968, 548109436, 113309885, -1, -1, 667670299, 296328047, -1, 764876462, 718204340, 362519936, 454877935, 892864460, -1, 866850687, -1, -1, -1, 142274884, 309953853, -1, 947519160, 693846723, -1, 137398862, -1, 296934906, -1, 809185029, 514745234, -1, 735293325, -1, -1, 733126228, 887702067, 692186487, 770511488, 470913307, -1, 754507996, 919094988, 72929954, 159394441, 815900947, 551598065, 236366455, 126325504, 885932914, -1, 228728149, -1, -1, 846784325, 700057342, -1, 514541948, -1, -1, -1, -1, -1, 184728582, 180516012, 301879718, 623554533, 315747902, 444767174, 991611100, 356255930, 882539803, 289886317, -1, 252186963, 411877378, 745572601, -1, 961165111, 775899996, 525094101, 133757442, 865685546, 407657813, 493778099, 773486001, -1, 408227730, 212742971, 421420512, 926772384, -1, -1, 367062422, 778354028, 451221445, 609185817, -1, 491514991, -1, 588205044, -1, 932641511, 398768535, 468179875, -1, 56305315, 679231935, 851674676, -1, 919357765, -1, -1, -1, 746714398, 180522631, 437586174, 432547454, 425609406, 943256140, 619660912, 957495806, -1, -1, -1, 778803672, 639640666, 136990605, 85141328, 119762027, -1, 328796980, 240130497, 115936234, 148659372, -1, 174247179, 134234617, 155318791, 306267965, 175407510, 452867349, -1, 360793557, -1, 605141255, 278957408, -1, 434920791, 408746799, 772770903, -1, 420967077, -1, -1, 473269996, 705113248, 831759742, -1, 489416984, -1, 810617772, -1, 207799668, -1, 685121265, 82927047, 965313883, 861702073, 369010519, 856759821, -1, 886941984, 717964102, -1, 418313356, -1, -1, -1, 166751558, -1, 240751501, 818521988, -1, 962267438, 449704568, 477242962, 835602099, 992629887, -1, 367064071, -1, 873335370, 928209240, -1, -1, 321605495, -1, -1, 976902462, -1, -1, 322236629, -1, 554508738, 788887143, 688853273, 528228514, 42436143, 785133454, -1, -1, 865806425, 470423542, -1, 983581945, 212901528, 723854471, 901808563, 588691158, 229400091, 401716600, 761595066, 274647404, 87507117, 516358343, 337919097, 802089657, 342119946, 887657580, 597233474, 889782117, 33489928, 331089970, -1, 714434035, -1, 851800746, 87056576, 437300289, 313731084, 505397549, -1, 604644581, 505469088, -1, -1, 805030632, 903335393, -1, -1, 782296615, 893453158, -1, 651965977, -1, -1, -1, -1, 526743715, 88738567, -1, 269449761, -1, 977429687, 175343460, 787171381, 336751241, 225688418, 562237519, 179436279, 645168199, 301085117, 624503795, 557576729, 200478000, -1, -1, 866497571, 611706168, -1, 46175796, -1, -1, 123573362, 415977763, 139752127, 524245497, 789985983, -1, -1, -1, 917962562, 87343132, -1, 206246025, -1, 982333360, 442193729, 980690277, 976997775, 521352515, -1, -1, 271487004, 658026014, 218806524, 494926821, 48556830, 451908934, 321056247, 694178042, 482246793, 554808809, 495432878, 346255841, -1, -1, 227071436, -1, 796014611, 754407696, 139377562, 6285975, 991820966, 82661627, -1, 318513508, 315076422, -1, -1, -1, 981394661, 307122007, 715435907, -1, -1, -1, 836868947, 263021669, 443002040, 576938768, 949298527, 593921151, 456483816, 902625978, -1, 408367615, -1, 889884909, 996190283, -1, -1, 149247344, 243821228, 454510841, 708789396, 815163132, 846243086, -1, 222015715, 48706154, 804221220, 473520289, 525534292, 37377923, 474313499, 215939049, -1, -1, 157977532, 546476438, -1, 330936652, 356234054, 235305400, -1, 924589412, 769117496, 578915196, 862060644, 222711695, 110118341, 749772133, -1, 168195441, 15378578, -1, 616744386, 91825760, -1, -1, 413641032, 559452328, 976861738, 819044744, 809829110, 323744952, 690223544, -1, 869437760, -1, 396403041, -1, 901350815, -1, 599013881, -1, 247349228, -1, 86873232, -1, 369524542, 297594811, -1, -1, 559002999, 566491945, 106447665, 511995890, -1, 954840659, 510215924, 971278207, 286011537, 563713853, 227048491, -1, -1, -1, 153591853, -1, 415989632, 508665374, -1, 936535095, 485505672, 984447739, 928426372, 248320113, -1, -1, 127123066, -1, 666693108, -1, 605132983, -1, 399310770, 174598597, 200103056, 572072945, 203856781, 297648629, 597408716, 715347253, 665713330, 645674790, 473911517, 503519439, 87616069, -1, 192776633, -1, -1, 981106130, -1, -1, 791181880, -1, -1, 722946620, -1, -1, -1, -1, 144381529, -1, 606353037, 333969515, -1, 880392543, 416881353, 515581527, 158725092, 836720612, 214596989, 176277857, 707807316, 587421993, 707208441, 24728135, 976719384, -1, 522997305, 251926664, 770426746, 80999827, 703435083, 630245836, -1, -1, 129653997, 34917496, -1, -1, 934121513, 514312705, 734338680, 900915490, 73751095, 292260219, 794759726, 989898333, 165781210, -1, 245223353, -1, 491630035, -1, 979031415, -1, 972577067, -1, 759204717, 901283764, -1, 829653327, 751058313, 429075191, 143502719, 599627047, 566331236, -1, 613466375, 137423933, 369272134, 489334591, 607001181, 907092177, 71969364, 172543493, 42507931, 727222302, -1, 562620898, -1, 502165859, 657721976, -1, 91479481, 684025567, 610484132, -1, 59205310, 989160479, 469495347, -1, -1, -1, -1, -1, -1, 801140634, 627930805, 649625066, 68244099, 980300927, -1, 3643213, 987781658, -1, 673663264, 180508619, 261251312, 42609522, -1, 725990008, 41246823, 225553776, 522161154, -1, 900820718, 239057995, 232619880, 713806718, 519918384, 152486138, -1, 882848216, 628483944, -1, 795209013, 390729574, 718895810, -1, 552258526, 23978791, 770578779, 603039327, 110333930, 173056729, 70721990, 521763455, 361657201, 858587003, 513161499, -1, 279826014, 19481713, 753304170, -1, 754561650, 145082087, 901840923, -1, 51378841, 340636101, -1, -1, -1, -1, 825872439, 720084344, -1, 455859087, 356902468, 442635299, 385359823, 486373521, 656511104, 449756517, 855103415, 749930943, 469864065, 981956859, 588645177, 928771750, -1, 762217478, 759463904, 367744378, 775138622, 763145512, 491462644, 775225780, 449100209, 31537218, 403816187, -1, 650107728, 870487060, 34661732, -1, 910858390, 879642021, 206695528, 989569272, -1, 28862063, -1, -1, 476958384, -1, -1, 494049326, 147293363, 148181955, 220930892, 793782260, 396616564, 465406675, 285651621, -1, 781422235, -1, 310801272, 736500385, 96406155, 708101547, 314909964, -1, 648538399, -1, -1, 790434502, 15914106, 209471121, 689107106, -1, 560155883, 428207750, 809332743, -1, -1, 915119383, 711843576, -1, 286301658, -1, 393003294, -1, 101287060, -1, 813276243, -1, -1, -1, -1, 725751530, 772546286, 193018570, -1, 792049834, 327570331, 835428986, 258458630, 666130561, 903125128, 353266099, 815818549, -1, 638969920, 199955324, 318898752, 381564175, 505814302, 735571065, -1, 859763156, -1, 54814748, -1, 781157430, -1, 730608763, 133174216, -1, 591087310, -1, -1, 588026405, -1, 27744836, 186434577, 480363724, 674981258, -1, 672028516, 519311358, 822521991, -1, -1, 750085314, 396058031, 495048341, -1, 533931428, 272266147, 308560461, 108300255, 74346621, 388937272, 548966217, -1, 57652188, 721385876, 145112808, 500018044, 26666044, 162341469, 745555176, -1, 682531792, 558217508, 361742165, 844133048, 377870345, 130742254, -1, 381218165, -1, 26502607, -1, -1, -1, 532782887, 753914122, -1, -1, 914711678, -1, 494463584, 216409873, 328633858, 131269315, 972577611, 94902972, -1, -1, 3501445, 53727643, 354436330, -1, 100221149, 319369129, 206298131, 773873544, 641540053, 800653875, 447825285, -1, 871438309, -1, 553966276, -1, 312315234, 691367298, 569695276, 691914001, -1, -1, 621246605, 523219607, 643043182, -1, 370524005, 141022090, 299684839, -1, 333758008, 138046913, 566685337, 316885671, -1, -1, -1, 636514501, 820636138, 404307493, -1, 847683407, 654954070, -1, 172462523, 822298948, 379268348, 138067057, 218799515, -1, 391044506, 801252061, 810044311, 271688174, -1, 142234863, -1, 532204358, 539189401, 63667097, 626453855, -1, 38176932, 359805898, 307377817, -1, 803466150, 549250540, -1, -1, -1, 342825727, -1, 105331097, 995392598, 59268145, 169242738, 741077066, 259762702, 179472822, 803983366, 318640893, 520331941, 379731402, 630948295, 214141218, 952908542, -1, 689647210, 319520556, 499290403, 883931051, -1, 772459353, -1, -1, 370224010, -1, 916057038, 817900808, 586054198, 20850526, -1, -1, -1, 583925895, -1, 10176830, 846549202, -1, 569951786, -1, 911694534, 182517724, -1, 587630948, -1, 999574034, 92723613, 796168945, 839612802, -1, 857206075, -1, 316561554, 711460728, -1, 47462102, -1, 886638677, 465599388, 519237298, -1, -1, 89331489, 74911478, -1, 892443516, 496867920, 109651052, 192666735, 206125284, -1, -1, -1, 434447857, 579513121, -1, 61585924, 338281094, -1, 383506828, 413456855, 903085219, 562948307, 591681364, 986043500, 591476097, 188005025, 20172196, 544191452, -1, 544583980, 490471124, 467450341, -1, 859594240, 344256105, -1, 625714430, 799254978, 206486893, 642132861, 854422440, -1, -1, 696807224, 149935384, 459508849, 117290825, 986063233, -1, -1, 98519028, 104793922, -1, -1, -1, 720000842, 41605708, -1, -1, 732573079, 485961064, 495414424, -1, 882663361, 371155615, -1, -1, 76191665, 235319209, -1, 312119513, 506322868, 952718096, 747067762, 201003698, 582831142, 100527394, 391131017, 854008886, 800077630, -1, 699054535, 425218721, 343740176, 817317032, 543502015, -1, -1, 747169742, 104327516, 521394255, 880714117, -1, 472974325, 450639054, 313080168, 965854390, -1, -1, 799990475, 578831245, 599759389, 569963296, 433194518, -1, 884226523, 359171266, 731125072, 158546039, 718853227, -1, 504330508, -1, 780967397, -1, -1, -1, -1, 560310487, 424156478, -1, 866778717, -1, 58375483, 238872712, 483382494, 729081890, -1, 387901356, 960587856, 449838660, 481182398, 145978289, 101837976, 760740515, 830400729, 653878546, 301602341, -1, -1, 23415668, 464888852, 791951309, 761772416, 274110937, 352124608, 414430652, 316986636, 218220132, 85669977, 966876894, 677334024, 168277271, 208785175, 440432600, 862823522, -1, 82407755, 573944498, -1, 289956473, 95507861, -1, 244120938, 966952585, -1, 139080542, 422622775, -1, 606616668, -1, 800988089, 890600096, 359864340, 822322957, -1, 409835533, -1, 211020712, 873123459, 78144281, 476033783, 840871391, 99884276, -1, 550740127, -1, 533787833, -1, 368894835, 342461998, 490714602, -1, 454519779, 752642497, 925809268, 775941920, -1, 479747277, -1, 940925293, 502612016, 85690246, 625914183, -1, 654796717, 236001958, 60853469, -1, -1, 839640262, 242674291, 383360866, -1, -1, 589789576, 40869868, 457695615, 459507341, 891794223, 523910750, -1, 447307089, 266415087, 638684684, 589302225, 696940088, 604718115, 670666978, 696389258, 944678833, 591939141, 738357663, 194098796, 223727264, 118169159, 837788472, -1, 522616973, -1, 961770442, -1, 946860408, -1, -1, -1, -1, 641972211, 681570541, 946138208, 120278107, -1, 878505679, -1, 115740873, 196354340, 540441244, -1, -1, 887275020, 212325178, 948820463, 178185216, -1, 786389907, 120666266, 807000952, -1, 956979505, 870504663, 62987452, 890342844, 271842796, 691318516, 23152416, -1, 984720199, 643378000, -1, 451958450, 115831767, -1, -1, -1, 409530138, 403345539, 443546967, 62290414, 659368713, 657493820, 441925056, 492882521, -1, 335147196, 267191444, -1, 164228040, -1, 15900138, 993842503, 989657758, 327012772, 827524426, 271347782, 501063024, 212272163, 934338887, 962184220, 302275481, 814208064, 976883740, -1, 66087880, 656230724, 232302422, 96421315, -1, 997131001, 407218284, 110796976, -1, 208953715, -1, 922171274, 942261865, -1, 252604013, 918385050, 811390208, -1, 834766009, 210002347, 700246234, 584989620, 693229814, -1, 515686337, 626813979, 412939999, -1, -1, -1, 849959620, 987423064, 21728763, 26125154, 876961042, 973742232, -1, 553736194, 909308501, 545284248, 855912368, 18214472, -1, -1, 940043302, -1, -1, -1, 367591006, 579902121, 455512353, -1, -1, 784911618, -1, 715126624, 19400937, 690486218, 442988032, 418760236, 495300853, -1, 233771691, -1, -1, 423221676, 256731323, 219074464, 671527196, 749399508, 738754642, 324159903, 767347550, 203290397, 996807143, 886683101, 206157876, 610132108, 317561529, -1, -1, 568489030, 332870714, -1, -1, -1, 138708122, 779871795, -1, 566683594, 222578646, -1, -1, 228828941, -1, 833304503, 412086762, -1, 464879265, 895401016, 993197234, -1, 987375641, 937908008, 402163227, 911024322, -1, 395260630, -1, 649958778, 539042135, 589979453, -1, 189865511, 350281509, 319051320, 11508461, 912444589, 727244852, -1, 412776688, -1, 766224022, -1, 852370279, 75793852, 422308927, 273421073, 648432832, -1, 308281113, 999281181, 197939351, 53240059, 716949855, 394128916, -1, 136697805, -1, 621012454, -1, 278777477, 557861080, 802763734, 855586043, 412914721, 947374930, -1, 733804317, 114651705, 57936559, 60684317, 19671699, 179444953, 147711495, -1, 910793883, 686939527, 727157373, -1, 433294599, 425098868, 829851042, -1, 48641381, -1, 947716656, -1, -1, 967016708, -1, 935918819, -1, 84206157, -1, 42378715, 953359404, -1, -1, -1, 930411216, 24730348, 363454375, 860717422, 88594312, 204707944, 704855017, -1, 41935641, 657639064, -1, -1, 312398395, 559007492, 68961705, 19169283, 13312572, 796587635, -1, 257102852, 869799928, -1, 788304852, -1, 90152276, 639739825, -1, 326369917, 850565778, -1, -1, -1, 187519066, 224274859, -1, -1, 974287577, -1, 987246166, 870622134, 609739023, -1, -1, 663538647, 220085115, 675393210, -1, 812668850, 817781628, -1, 708172763, 717014792, -1, 16989171, 663827285, -1, -1, 629828067, -1, 886836074, 357754883, 646656923, 738728299, -1, -1, 337915060, 376545247, -1, 726937348, 307757182, 803727617, 53325162, 685744416, 355563624, 354693511, 813558597, 737434489, 714233531, 437674793, 427323637, 151580944, 519152669, 734838339, -1, -1, -1, 732772155, 419050186, 680037958, 934518151, 99801493, 695113299, 300641674, 552308795, -1, 937690457, 918748499, 814650278, 673872508, -1, 799674779, -1, 463516188, 588259401, 957913457, -1, -1, 826754513, -1, 40909531, -1, -1, -1, 282731509, 44983730, 153970797, 874954722, 444853704, 732746348, -1, 176421115, -1, 539981874, 455934030, 335390425, 185963179, 203685217, 441325088, 28666359, 608771556, 17843804, 751063155, -1, 513320511, -1, 792588284, 860875065, -1, -1, -1, -1, 949332107, -1, -1, -1, 399794165, -1, 674877850, -1, 191938461, 98091389, -1, -1, -1, 860796078, 364494271, 553259721, 410280650, 301654817, 547581495, 257296020, 495977823, 759302091, -1, -1, -1, 593748099, 365864162, 289625392, 605127757, 737418232, 539960693, -1, -1, 66920681, 837047917, 392157480, 464272364, 423794331, -1, -1, -1, 187190456, -1, 424195390, 874111185, 676194691, 344500724, 922480712, 965523652, 424810353, -1, -1, -1, -1, 67239649, 543688304, -1, 513350034, 816305813, 636381437, -1, 6166404, -1, 816994972, 465457138, -1, -1, 83667622, 425527452, 527184892, 779840781, -1, -1, 352016952, 140395949, 549548213, 884656338, 422750647, -1, 760758096, 266168345, 487839102, -1, -1, 716874743, 257558563, 63948036, 475449469, -1, 473409236, -1, -1, -1, -1, 210201716, -1, -1, 870411097, -1, 610278908, -1, 665377116, 841528749, 99990235, 244684163, 553965727, 392299124, 586461507, 298876915, 363008379, 975192140, 873334251, 393237374, -1, -1, 311955088, -1, -1, 588509832, -1, 833014287, 679291436, 851822982, 26774997, -1, 745801588, 987129903, -1, 297401784, -1, -1, -1, 771349537, -1, 757407269, 662086552, 897633575, -1, -1, 482132015, 926320856, 641782464, -1, 228474897, -1, -1, -1, 541913377, 882893513, 421929750, 931609040, 707703773, 940793290, 167561935, 996640485, 121412484, 40705517, -1, 557527794, -1, 968629866, 557471295, 759148780, 267281390, 583610012, 440413566, 201395741, 85610441, 653472035, 33861051, 995045490, -1, 624910874, 172146951, 892483423, -1, 801764488, -1, 844821810, 89979156, 602001468, -1, 393122025, 990506588, -1, -1, 749583683, 310208313, -1, 74786559, 485906191, 78044998, 630927028, -1, 835115747, 270004604, 91609012, 741268892, 203324569, 662073472, -1, 915542725, -1, 961585803, 538953983, -1, -1, 498364786, 502712024, 44713855, 230017505, -1, 391221662, 293194734, 69207400, 632540798, 996653452, 24986592, -1, -1, 871463061, -1, 700764929, 7997422, 739629526, -1, -1, -1, -1, 650746317, 294594932, -1, -1, 213116621, 793957902, 171146833, 165606047, -1, 443727133, 780567776, 293303759, 135749881, 798433111, 52903648, 859905486, 339284217, -1, -1, -1, 701967906, -1, 230493648, 460070238, 278141414, -1, -1, 767130252, -1, 418410391, 398884723, 526215276, -1, -1, -1, -1, 253975481, 420099159, 164842665, -1, -1, 275268672, 814048664, 630692871, 526937073, 414055482, 167062810, 440797639, -1, -1, -1, 555172709, 666808022, 455953130, 811969021, 922977323, 189942012, -1, 379211455, 280157941, 721594071, 641527424, -1, -1, 444102188, -1, -1, 792903025, -1, 278896212, 600973794, 883148067, -1, -1, 800693109, 979426935, 390929315, 99457588, 336211530, 460171287, 279490686, -1, 503446164, -1, 697231410, -1, 166468899, 538632898, 101841049, 5762898, -1, -1, 669596783, 730729350, 372785083, 454484442, 570869150, 531655206, 569636474, -1, -1, 659204220, -1, 441803711, 804100328, 943294491, 653946834, 968029772, 45143895, -1, 911629038, 787378622, 428254538, 965938096, -1, 938970468, -1, 323444425, 426390703, 932382852, 205238275, 282468499, 758901305, 210722322, -1, 920424325, -1, -1, 315584611, 389767208, 155739096, -1, 365119, 556287072, -1, -1, 890101938, -1, 179032549, 697199331, -1, 391543014, 841533276, 945359008, 88578486, 461312051, -1, 323062922, 966068279, 51974254, 140634849, -1, 826579552, 217284761, -1, 557116500, -1, 514109632, 173337968, 932542590, -1, 447857656, 62537128, 3138979, 784284295, 694552258, 865334877, 328341018, -1, 645934116, -1, 19018470, 383214023, -1, 687434665, 114850014, 422755564, 939924930, 227002444, -1, 296428423, 743533410, -1, 207743358, 990477631, 488106666, -1, -1, 777074106, 83365230, -1, -1, 31443927, -1, -1, -1, -1, 436334156, 733890380, 792079691, -1, 431374525, -1, 271729512, -1, 32358220, 995262145, 753725951, -1, 175108931, 866489676, 3677551, 882310182, 745010756, 680770265, 539502727, 675601022, -1, 42389089, 776663980, 155483529, 594348442, 670791095, -1, 656047837, 302804700, 93324102, -1, 414406521, -1, 453710272, 344422167, 499245618, 4118405, 813339185, 340887165, 813007893, 486484589, 51679463, -1, 620206742, 625755411, 142240947, 356913125, 935307134, 951407775, -1, -1, 318051972, -1, 929457321, -1, 452708528, 224021237, -1, -1, 229733804, 911561463, -1, -1, -1, 92737112, 589792856, -1, 809987768, 423366499, 378546554, -1, 876619608, -1, 735140001, -1, 990097349, -1, 688109241, 349511251, -1, 641344926, 238268378, -1, -1, 523125639, 941052707, 725971469, -1, 18788517, 986802351, 901367492, -1, 66595464, -1, -1, 509927789, 142621715, 400980388, -1, -1, 903008759, 953026222, -1, 411660508, 988357899, 372317134, 77548863, 192085804, -1, 135319035, 895412555, 27028072, 258598757, 878483506, 939012510, 837529471, 239270467, 757770791, 444233335, 428927619, 110416289, 553017895, -1, 984754683, 860193527, -1, 168133631, 844265549, 487254725, -1, 433860613, 157301569, -1, 482631519, -1, 856236495, -1, 777972132, -1, 843358087, 913238572, 543853293, 239377648, -1, 979169387, -1, -1, 261549576, 26815461, 279881540, 718520664, 474609899, 40532889, 243680789, 15892701, 389155341, -1, 705416234, 363616631, 6664309, -1, 349704775, 996798578, 363362237, 492228353, 514145532, -1, 500833766, -1, 802373281, 748623089, -1, 888556719, -1, -1, -1, 533983445, 635467549, 355485884, 470972267, 272251495, -1, 274062437, 117897763, 674350527, 612347845, 236366711, 170284128, 899744240, 313874145, 859667488, 651552392, 155016826, 597580497, 563512373, 951803486, 513995846, 799642158, 837313773, 567046536, 100229529, 996264473, 653098713, 783243589, 494218099, 399939608, 897345434, -1, -1, 642663256, 423580359, 177686743, 320414454, 596187618, 708522513, 750500953, 530795441, 146534683, -1, 698747402, 852907677, -1, -1, 604432881, 495068184, 598667108, -1, 414086847, 795672283, 49007193, 736482794, 666514364, 871073880, 912203256, -1, 289373261, 239067404, -1, 767334772, -1, -1, 587489596, -1, 660579840, 892274040, 239849895, 845975104, 338514247, 133233927, 825656877, 411222842, -1, -1, -1, 892055484, 220208174, 984700520, 307478925, 914316280, -1, 482109450, -1, 890126416, 98605596, 878199790, -1, 310023570, 922461728, 872268063, 411953421, 651037935, -1, -1, -1, 662298572, -1, 462889259, 84987346, -1, 534997678, 811035664, -1, 750027869, -1, 6689888, 267691842, 688543992, 234438468, -1, 790479637, 980260459, 910855437, 29038569, -1, 291014475, 692612793, 446206578, 283676467, -1, 444628140, 544931163, 302220968, -1, -1, -1, 738748830, -1, -1, -1, 739527642, 917909729, 713226285, 252213126, 144900788, 995769714, 152494194, -1, -1, -1, 540204355, 253543796, 853973636, 377480923, 277267323, -1, -1, 251897362, -1, -1, -1, 481846215, -1, 696959609, 693332597, -1, 560539330, -1, 270604654, -1, 307471877, -1, -1, 6115823, -1, 399942059, 106346296, -1, 942455039, 203789846, 540379240, -1, 70818048, 327168296, 989024398, 687257373, 904327430, 450573755, 895746535, 504301881, 34690372, 32632247, -1, 167493439, -1, 41304404, 149525993, 134263603, 136903365, 31811083, 105403149, -1, 680569359, 21618506, -1, 504755821, 29781042, -1, 983030955, 391129806, 689608469, -1, 907853797, 340164375, 944295805, 490979455, 689726398, 528888526, 943683137, -1, -1, -1, 31138938, -1, 309381513, 697772326, 887272605, 893690286, 633731223, 583766311, 147512770, 476841009, 603651720, 147278242, 47516815, 279895364, -1, -1, -1, -1, 967563443, 254081707, 367616939, 192758181, 519709663, 807107165, 493976847, 983747294, 26353926, 399838190, 171434870, -1, -1, 848450718, 461965208, 349943345, -1, -1, 473119091, -1, -1, 111280162, 318661369, 453166189, -1, 259974553, 102403382, 865083573, 545896486, 680538868, 200098526, -1, 547687990, 485252675, 491732094, 600696076, 214677231, -1, 553250438, 28646276, -1, 704516459, 529957801, 15181149, 272027889, 692908942, -1, 412808650, 298906980, -1, 684294561, 15822995, 424954953, 466277865, 544027691, 683641897, 88885861, -1, 897974223, 737979733, -1, 130344929, 36859053, 471536840, -1, -1, 194934917, 999527701, 319532796, 208049059, 797112852, 498392292, 961633246, -1, 729575513, 680650577, 666630000, 341837936, 298660464, 918153, 943801107, -1, -1, 484643359, 684775163, 114324794, -1, 105138440, 577316744, -1, 129208777, 715500503, 939863344, -1, 506693342, -1, 216133898, 855592716, 817525634, 653230058, 368762877, 304623252, 607292242, 154079642, 550640921, -1, -1, 668364258, 612234897, -1, -1, 671021587, -1, 436754763, 243267615, 765189770, 773935386, -1, -1, 878488686, -1, 991977120, 677483633, 47136662, 957347760, 812237155, 334263182, 102334332, 566514218, 255974666, 425666000, 51630270, -1, 656996401, -1, 791625372, 641928044, -1, 414218718, -1, 621577336, -1, 83295451, 758353033, -1, 309604725, 212001610, 405778860, 289071577, 477328736, -1, -1, 357474036, -1, 925086553, -1, 171281647, -1, 761965585, -1, 201114747, -1, 957956899, 776485366, 554965165, 286104274, 679236795, -1, 708341596, 646716961, 604899083, 886708115, -1, 114264423, 612274403, 182442429, 351988871, 414558844, 17003154, 50078484, 210405463, 804454110, 805546407, 694750641, -1, -1, 502985839, 597351170, -1, -1, 343001939, -1, -1, -1, 504064576, 434728818, 520461644, 37935933, 282425682, 958239249, 978379566, 43810883, 561227256, -1, 343629164, -1, -1, -1, 332750678, 447574142, 907066209, 195574296, -1, -1, -1, -1, 294450355, 699071670, 194185216, 641188620, 631797773, 277685503, -1, 403507689, 986818474, 69747889, 473473526, 470959393, 360190542, 451714103, -1, -1, -1, 543961220, 755163997, -1, 493609659, 141689202, 108457379, 699406512, -1, 211354816, 615774753, 568863917, 295612894, -1, -1, -1, 715206818, 357285672, -1, 154529566, 927555185, 547316708, 551677307, -1, 174480675, -1, 818677528, 41751920, 6000014, -1, -1, -1, 405347993, 842738732, 500287573, 179351751, 607704583, -1, 956373625, 642583470, 353430438, 162155692, 526029182, 316863032, -1, 467470833, 946915411, 610744840, 774780479, 977608087, 156155196, 650488880, -1, 164189631, 217854691, -1, 997320690, 614574895, 254780974, -1, 309227579, 639230895, 199213217, -1, -1, -1, -1, 697831934, 860492092, 453650399, 358173489, 133460684, -1, -1, -1, -1, 881826959, -1, 820671558, 586472387, 727531635, 194161283, -1, 529575910, 176642413, 312844918, -1, 589241921, 631983132, 463416151, 437429546, -1, -1, 866125496, 681144595, 778191354, -1, 601492280, 93717950, 482847868, 463519539, 318137151, 430207842, 281246904, -1, 478276265, -1, 711146004, 921844048, 349827401, 116190909, -1, -1, -1, -1, 842629411, 549908284, 451758675, 877826275, 570437323, 860796807, -1, -1, -1, 302470385, -1, -1, 887983229, 598914430, 719792351, 660886496, 33948385, -1, -1, 427524244, 45102084, -1, 455426211, 421114150, -1, -1, 443383418, 378770385, -1, 135978416, 245748326, 187359849, -1, 486022692, 318289534, 125390809, 69857203, 25058362, -1, 766461906, -1, 976223138, 4684459, 453627255, 872071869, 126216716, 364141080, -1, 992037147, 141826191, -1, 316071733, 179847009, 810475857, -1, 273039111, 308910572, 231642104, 337517041, -1, 155125049, -1, 600525673, 758976691, -1, 49782056, 590409846, -1, 354472458, -1, 875366913, 64945307, 978536178, 697655617, 120203030, -1, 609193867, 708853977, -1, 303784422, -1, -1, 830251448, 568811911, -1, 284713824, 272651706, -1, -1, 658253863, -1, 927622249, -1, 968324186, 1403201, -1, 362456803, 319826904, -1, 211352864, 559531723, -1, 11370018, -1, 789316897, -1, 668790604, -1, 864583689, 603421127, -1, 145672631, -1, 460975976, 409330636, 805711855, 490720300, 464206263, -1, 466205338, 585804494, -1, 619429202, 592475152, 327582975, 551196640, -1, 243584821, 978446527, 247516231, 393088502, 621593460, 173447224, 43638152, 641673381, 980425680, -1, -1, 673607077, 975948261, -1, -1, -1, 473805632, 116349237, 484434771, -1, 329765985, 88784307, 431980626, 216043449, 739480300, -1, 922348909, 746206387, 587703436, -1, 939441231, 782790775, -1, 686588892, -1, -1, 207688476, 59169114, 134608190, 48221131, 607429524, -1, -1, 278917537, 898330940, 993446820, 315577225, 402280734, -1, -1, -1, 684285932, 478187749, 235945150, 783340909, 826573186, 408894692, -1, -1, -1, 807161471, -1, 42032270, 870045110, -1, 489048837, -1, 970093037, 81241536, -1, -1, 831574887, 332343973, -1, 503084744, 206572946, 186377366, 796083674, -1, 448923558, 520366970, 461582949, -1, 653899827, 19726262, 579930304, 686055013, 37767214, 153806321, 931041384, 15595130, 3889706, -1, 365061222, 897524109, -1, -1, 391007194, 897825390, 535363840, -1, 95115988, -1, 93831408, -1, 616531622, 463670345, -1, 331166092, -1, 246923370, -1, 398232455, 22482337, 316921160, 671332159, 71125217, 816337387, 457542486, -1, 495886697, 177620880, -1, -1, 806462891, -1, -1, 887562964, 332137979, 78935512, -1, 930995464, 539514724, 369643239, 188770044, 256303329, -1, -1, 791720240, 453392123, 375000015, 173078021, 888020680, 863478930, 788051406, 52001919, 413365678, 361889051, -1, 496816243, -1, 327720017, 877696620, 536704318, 555016787, 571560647, 353102921, 667582956, 428897556, 901899031, 53159027, -1, -1, -1, 735912378, 729845629, 408145771, 801031894, -1, -1, 728859162, 954197013, 246693192, 379790584, 980162698, 879761112, 777311278, 959433115, -1, -1, -1, 963638459, 353363621, 739793628, 585013791, 561525907, -1, 845872229, -1, 354627321, 401858592, 874558214, 455954397, -1, 506973269, -1, 881093219, 57747246, 709545335, 850373284, 759935972, 200555901, 181186290, -1, 278448190, -1, 392752910, -1, 27128147, 730423526, -1, -1, 721130136, 166526198, 309237882, -1, 921651476, 576443859, -1, -1, 509887142, 18453346, 533924202, 98464334, 880537317, 963920087, 937396264, 997242462, -1, 657092967, -1, -1, -1, 837831240, 119774584, 895924112, 640408725, 503285923, 457274293, 747360084, 882391682, -1, -1, 7618878, -1, 987627845, 593989626, 172641370, 626822934, 968264978, 823797533, 988863123, 388768786, 678933827, 165069258, -1, -1, 919774451, 811176763, -1, -1, 330000358, 502201335, 194552024, -1, 85629327, 828502525, 99294293, 332764433, -1, -1, 149892973, 528043549, 162790537, -1, 775664816, 763470579, 503857253, 893675678, -1, 148612297, -1, 257041729, -1, -1, 381395939, 864888864, 491875039, -1, 537280033, 426798964, -1, 449953228, 769093000, -1, 674943196, -1, 559081162, 695867843, 212669599, -1, -1, -1, -1, -1, -1, 734218728, 724519544, -1, -1, 175349730, 21731392, -1, 863197797, 325944825, 608564296, 36480139, 146614935, 400949691, 57023610, -1, -1, 83868090, 293964108, -1, -1, 762764984, 690522920, 385140912, 874989640, -1, -1, -1, 991301661, -1, 502238895, 629645706, 155216874, 55521714, 872724958, 930201153, -1, 422995424, 862405929, -1, 439940306, -1, 977928331, 565115368, 557563692, 860059892, 994847905, -1, -1, 361970584, 203117573, -1, 782619324, -1, 60701327, 199229772, 476307152, 284033864, 509176290, -1, -1, -1, 475090244, 780558135, 393007617, 696716379, -1, -1, 543584819, 542514013, 171746353, -1, 262559307, 26234127, 542861314, 743935740, 390817425, 702034109, 175842565, -1, 943018639, -1, 390352991, -1, -1, 399511011, 120878007, 807859626, 190399848, 545820105, -1, 854664302, 621328743, -1, -1, 55296706, -1, 693057531, 506453122, 224515409, 603016188, 711004952, 673628402, -1, -1, 841062269, 589286485, -1, 610146296, -1, -1, 536391312, -1, 490967935, 709320640, 954527802, -1, 671070019, 736444090, -1, 414136235, -1, 283233371, 924166548, 677947984, -1, -1, -1, 378979444, 770951009, 292274323, 50456827, 935864905, 356105628, 1773339, -1, -1, -1, 243178765, 522297606, 678553657, -1, 708545631, -1, 403346788, 321473672, 875638021, -1, 913875004, -1, 489882795, 453253374, 692522242, 360220014, 829230471, 809093883, 929975790, 291070927, 903404424, 988346785, -1, -1, 210035113, 472117521, 223272404, -1, 858270291, 731950486, -1, 631880571, -1, 92851925, 613379760, 931671364, 570760713, 451182856, 257824645, 920202134, -1, 440392088, 495982572, 643431524, 888149369, 11093686, 597521692, -1, 199359914, 499981867, 959533568, 208342379, 279521219, 642466725, -1, -1, -1, 478878692, 684583095, -1, 19353139, -1, 417925419, 981868231, -1, 811367801, 444406137, 475051598, 489274749, 203089676, 567522132, -1, 94187804, -1, 736211649, 736369568, 702429328, 324063852, 877256751, -1, -1, -1, 171644621, 995198672, 950682784, -1, 795175754, 4102139, -1, 667064561, 774555512, 905495816, 542140970, 640341230, 386019959, 161453409, 483836109, -1, 671716308, -1, 277915169, 48997209, 484267821, 259866140, 430600886, 280476650, -1, 759038491, 387951539, 933604289, -1, 73238826, 319756986, -1, -1, 648095691, 930296537, -1, 170417353, 555239235, 243103345, 892256288, 363836312, -1, 227798552, -1, 547515465, -1, 176407877, -1, -1, 556483253, 959708793, 857963051, 770868185, -1, 493301830, -1, -1, 383306470, -1, -1, -1, -1, 81317926, -1, 651209990, 975170149, -1, 215041335, -1, -1, 17400268, 351722758, 939673647, -1, 476801074, 897977153, 669644855, 937700692, 551726340, 164948096, 431620005, -1, -1, 175277605, -1, 987006667, 141401623, 466260517, 859809015, 506139031, 825777739, 1557956, 48642975, 779708123, 18561202, 159067071, 779464859, 927203156, -1, 375047440, -1, 761428328, 657307022, 758595164, -1, -1, 342825867, -1, -1, 669498482, 490914928, 259588320, -1, 889853740, -1, 739824640, 323096568, 654824644, 83259751, 624375899, 574830580, 230636412, 551885875, 487662382, 808987716, 196856448, 892754072, 811367706, 834892432, 751563246, -1, 301530656, -1, -1, -1, 214996794, -1, 958948936, 276448608, -1, 868664077, 406276064, 665250512, 723118821, 674064604, 82517973, 313373011, -1, 613641382, -1, 628124677, 697078643, -1, 847100218, 397343506, 544572631, 600157718, 791947071, -1, 878644303, 103054713, 980971590, 886525263, 170860462, -1, 970987528, 603287577, -1, 462740449, 787413752, 782481083, 260991414, 19768323, -1, 250278626, -1, 469764251, -1, -1, 197409310, -1, 389618352, 745010699, 518304111, -1, 197928470, 410467311, 598027419, -1, -1, 443895492, 201491612, 347417694, -1, 618439889, -1, 411056292, -1, -1, 683492900, 647558220, -1, -1, 174362489, 622880855, -1, 223712852, 896489111, -1, 712920340, -1, 449176248, 184030350, -1, 91200513, 375725077, 879189086, 248249122, 438048027, -1, 222507711, 198298770, -1, -1, -1, 287096014, -1, 551345341, 792936184, -1, -1, -1, 10780684, -1, 111868866, 475854193, 166861540, -1, -1, 465764348, -1, 935842463, 45117769, -1, 829738585, 8547485, 616439015, 360373830, 492270205, -1, 417080176, 397729237, -1, 27283611, -1, 696078462, -1, -1, 909114078, 235274061, -1, 596465442, 302434444, 67738706, 48069042, -1, -1, -1, -1, 745925657, 68607840, 19603192, 899255914, -1, 977365743, 568528315, -1, 544414439, 886596797, -1, 868459881, 376147602, 900804330, -1, -1, 445658793, 17945382, 955529302, 999994137, 767970808, 357750595, 500089086, -1, 423123038, 90194620, -1, 158686015, 821131462, 686675580, 196464596, -1, -1, -1, 25599617, 940387115, 576924436, -1, 393928169, 698716378, 41364384, 1631373, 268375815, 915863216, -1, -1, -1, -1, -1, 386039364, 966109269, 620106430, 617261883, 88165514, 845477642, -1, 545919065, 583617409, 405831783, 567407160, 610061002, 774837600, 700522057, 944237732, 811294982, 372757663, 975725434, 861964339, 429745433, 500809547, 946452003, 75871636, -1, 632328592, -1, 387464518, 52417232, 648153242, -1, 73647172, 681175760, 417577290, 650312456, 62597800, 351884271, 705396085, -1, -1, 555416541, -1, 232905285, 615751600, 881570832, 14849566, 37634835, 860819683, 615856879, 27527201, 2846626, 201036160, 502115235, 770702476, 498964314, 629531985, 297802193, 200961330, 733562266, 911154145, 491085589, 726818964, 280195491, 185902019, -1, 74293367, 230691431, 730793859, 16145406, 105128991, 329982570, 632949465, 108485006, 738634166, 637986566, 314052822, 373857721, 397686850, 309979642, 200834663, -1, 70002299, 102091087, 4888821, 955593295, -1, 122879980, -1, 693644846, -1, 250569416, 489726802, 144347174, 157443567, 299405214, 577173110, 418749031, 187478198, 566055983, 413712586, -1, -1, -1, -1, 956563514, 359063165, 997948692, 119999426, 527463590, 205850667, -1, -1, -1, -1, -1, 979924315, 633732784, 181408013, 281768709, 135442050, 193292668, 311428740, 357298700, -1, 4311243, 505922531, -1, -1, 13772446, 732773693, 997599973, -1, 663483247, 186384554, 319965606, -1, 291179313, 949098404, 523438940, 40178022, 328544580, 731971439, 440264586, 164340196, 133907493, -1, 352064785, 25751627, -1, 372410489, -1, 190235752, 758024790, -1, -1, 830774850, 577264565, 564138880, 435407228, 835088695, 632932337, 870639277, 217833879, -1, 831157048, 606342747, 752731677, 141135957, 201051023, -1, -1, -1, 310186234, 849166524, 809546384, -1, -1, 615903124, 210276540, -1, 144996575, -1, -1, 479882883, 468592758, 59830571, 150626749, 306865801, 6887572, 937668408, 142496019, 53445605, 874446544, 288143362, 453223321, -1, 880741979, -1, -1, 706758266, 475485253, 997268727, 416676760, 227180488, 567951232, 24259569, 171814071, 839633192, 258303658, -1, 477813673, 736343780, 204010958, 22434473, 771020754, 582689666, -1, 136687693, -1, 787619526, 455336167, 15169840, 429403837, -1, 819625992, -1, -1, 988459791, -1, 952934443, -1, 13657111, 106508748, -1, 899250483, 407750571, 509199175, 536302454, 76924833, 165003408, -1, 724922664, -1, 766955732, 27983649, -1, 942911331, 973056755, 337222717, -1, 696596085, 496996634, 954401014, 932284182, 394120349, 397290557, 288751861, 220755739, 300488739, 538403107, 282474698, 714768662, 721721326, -1, -1, 196198224, 978887012, 806793566, 788380614, 508583504, -1, -1, 742465470, -1, -1, -1, 582490990, 415471238, 171572251, 404411385, -1, -1, 489103492, -1, -1, 159793761, 979975819, -1, 352511411, -1, 546081915, 541617805, 918012858, -1, 310715904, 691879140, 614468591, -1, 771403333, 669254181, -1, 683269650, 218824368, 959072184, -1, -1, -1, 312315207, -1, -1, 164840507, 997465725, 531476119, 481773795, 520782351, 495292227, -1, 22253240, 470698231, -1, 806345429, 204110092, -1, 616726554, 558191747, 977225784, 522264139, -1, 750382318, 637371054, 713590265, 36230300, -1, 501448427, 364690718, -1, 135411548, 546098206, 214124925, -1, 118008759, 74047000, -1, -1, 372165305, -1, 821625105, 953239302, 851971547, 366515667, 327568212, 655966121, -1, -1, 128116148, -1, -1, 371922869, 594219276, 298054592, 692970053, -1, 275501755, 776197674, 460793803, -1, 224191108, -1, -1, 288967731, -1, 568668919, 744939044, 698338179, 604216559, 855152253, -1, -1, -1, 547475708, -1, 752439065, 420468204, 331929630, 708713627, 40941894, 895579815, 49977022, 991016534, -1, 202840711, -1, -1, 276283322, 756649281, 463283493, 698907062, -1, 736899593, 837973165, -1, -1, 467560493, 606842960, 565884910, -1, 293774405, 503792500, 816023708, 589879586, 615147633, 352953201, -1, -1, 649405061, 473172225, -1, 441574826, 358241250, -1, -1, 184525399, 927626819, 475931613, 710033248, 947238579, -1, 393335113, 91602418, -1, 793086473, 168381247, 978746078, 54331816, 741181364, 431364542, 106057586, -1, 11352538, 867212119, -1, 169372154, 794903968, -1, -1, -1, 356555639, 996290545, 310077615, -1, -1, 682030960, 178343588, -1, 511451057, 196213256, 412907600, -1, 437308880, 953009370, -1, 886790646, 61818595, 431007033, 537564632, 884499535, 797177234, 514697359, 448224818, -1, 107498370, 739940756, 896027723, 655894161, 97504013, -1, 831265645, -1, 207201526, 937984269, 770104288, -1, 29857450, 855692694, 259433780, -1, -1, 275627469, -1, 47603697, 871358360, 21947285, 254389514, -1, 191947545, -1, 427104339, 296951284, 458906007, 225168103, 614671881, -1, 394907823, 661591952, 5008545, 276025653, 465294493, 828206074, 539676152, 663064981, -1, 937377246, 377089121, -1, 497781705, -1, 300686926, 81135546, -1, -1, 455057662, 193697419, 172210307, -1, 323379106, 875294126, 213995169, -1, -1, 972430913, 226057121, 135855568, -1, 566474975, -1, 734883943, 178572078, 212879030, -1, 616057612, 795600747, 340485082, -1, 921049176, 444286236, 580011403, -1, -1, -1, 894746652, -1, 939769905, 170765376, 907368062, 54363410, -1, -1, -1, -1, 887548676, 761407216, 709694330, -1, 750577452, 354233175, 847041709, 136220582, 961469203, -1, 653248061, -1, -1, 204335763, 73384912, 563207296, 150141362, 768446869, 668306830, -1, 750118432, 306229010, 15516090, 419485253, 677885468, 858388820, 313668712, -1, -1, 692609906, -1, -1, -1, -1, 124045897, 99757231, -1, -1, -1, -1, 802918503, 92966756, 695497051, 957147421, -1, 574671857, 627106845, 852781164, 135235897, 951111861, 46680323, 802019574, -1, -1, 537078155, 920646195, 826837170, -1, 185650172, 794080754, 946361084, -1, 343339322, 499560113, 925369760, 684160041, 97259027, -1, 643030345, 562041619, 284229157, 246171912, 724504086, 331579825, 586303936, 375965229, 809570035, 351553317, 704733965, 251962804, 555569737, -1, 358590124, 385030980, -1, 86801790, -1, -1, 146683165, -1, 482864148, 810793061, 279017286, -1, 773724394, 428607248, 593882067, 327228548, 825919530, 439211520, 467399526, 709030788, -1, 398315310, 214605714, 913882617, 736126486, 301950040, 849817353, 640612465, -1, 469872603, 328125876, 950928033, 438767319, 688622303, 760573112, 130997814, 950820798, 660629126, -1, 982026376, 279903275, 556681895, 612167764, 519977580, 5761173, -1, 176232595, 707169112, -1, -1, 933873031, 257470804, -1, -1, -1, 172432967, 589485720, 771609375, -1, 497487441, -1, 595380131, 464787010, -1, 619527723, 234664302, 1995965, 680806498, 245294660, 220103920, 515148505, 279987322, 380305293, 148199271, 70548871, -1, -1, 747098575, -1, 855849247, -1, 189986145, 442763827, 354852509, 943812123, -1, 127542480, 532483932, 775952714, 181660231, 228469236, 409297398, 828925586, -1, -1, 321238985, -1, 300457155, 906400992, 179920281, 368322912, 976980137, -1, 850773284, -1, -1, 818569647, 875067986, 696589703, -1, -1, -1, 842571375, 482283192, 33791832, -1, 116035961, 868121291, -1, 43504086, 913062774, -1, 53064868, 54073486, 335262812, 395679133, 998367843, -1, 274892534, 412561825, 547487984, 417894296, 244643937, -1, -1, 719200422, 199099757, -1, 678349280, -1, -1, 318592789, 735311369, -1, -1, 132614343, -1, 689314305, -1, 926267169, -1, 811112368, -1, 923197238, -1, 144806495, -1, 419236229, 85356910, 361629968, 62046914, -1, 952500575, -1, 291268081, 792552446, -1, 419231880, 521260408, 718690197, 956940920, -1, -1, 288357315, -1, -1, 651182276, 261956055, -1, 974586637, 498997488, 234272448, 854924310, -1, 410297743, 384065539, 247767418, -1, 136701075, -1, 21798189, 96855880, 965582479, 182653299, -1, 326723362, 669945956, 135081398, 31822192, 404439143, -1, -1, 972730055, 886948575, -1, 665303078, -1, -1, 669092733, 195128681, 206735907, 933891993, 438919224, 581288324, 805659816, 408167040, 792295779, 633279872, 640470214, 630418191, 92792891, -1, -1, 212524373, 493865420, 251477335, -1, -1, 824992183, 292407396, 94272565, -1, 624124718, -1, -1, 542016700, 233774087, 309231083, 663984538, -1, 724905782, 522191430, 845679465, 996643734, -1, -1, 549058825, -1, 561210369, 37231692, 719430106, -1, 227548169, 574973141, 429643632, 864792877, 920355859, 771976549, 287356538, 663542562, 721230573, 258835130, -1, -1, -1, 748413208, 625687381, 225493521, 888245215, 839314502, 573321376, 649472579, 262070315, -1, 594247632, 146233376, 228630397, -1, 553305776, 250654855, 608264136, -1, -1, 46210443, 320306761, 504049, 569962423, -1, 576914340, 555206510, 215192225, -1, -1, -1, 416097914, 750494830, -1, -1, 920680789, 517074278, -1, -1, 600056299, -1, 728569210, -1, 215947919, 893031737, 930396550, 573500419, 248914207, 481473882, 164857588, 184311562, 171227187, -1, 28610432, -1, 311144027, 181031992, 179567627, -1, -1, 552727921, 708538849, 300704657, 311052944, -1, -1, 582683126, 323122479, -1, -1, 179988172, 11601732, 144222878, -1, 975702290, -1, 281499846, -1, 653968990, -1, 418941688, 163460980, -1, 766835061, -1, 837661511, 775113356, 41691836, 628801748, 735482264, -1, 340952728, 136959439, -1, -1, -1, -1, 159802684, 658966021, 396764231, -1, -1, 192617976, 89138660, 259429295, 235787665, 192641861, -1, -1, -1, -1, -1, 880851052, 249201464, -1, 329428734, -1, 776604175, 946038188, 129163887, -1, 367627823, 950822692, -1, -1, -1, 531828041, 772678863, -1, -1, -1, 909208890, -1, 679572398, 722006606, 709269447, 737963436, -1, 763031530, 162947712, 544551018, 346644641, 59143584, 272581943, 999462951, 913306559, -1, -1, 758209452, -1, 942086312, -1, -1, -1, -1, 824269169, -1, -1, 106553941, -1, 509751749, 578919956, 261919524, 985521824, -1, 141948423, 907244718, -1, 177044170, 595729088, -1, -1, 89492252, 661753130, 536350653, -1, 963066975, 267691587, 46249776, -1, -1, 493878688, -1, 204330053, 363331895, 939122881, -1, -1, 225260595, -1, 625411133, 893250378, 936383253, -1, -1, -1, 959352474, 565814496, 691145380, 174280673, 624745799, 928036172, 791760392, 211961801, 481761805, 185541087, 966444189, 839481832, -1, -1, 514001130, -1, 665434998, -1, -1, 367970632, -1, 981994008, 883113784, 328140244, 513722842, 916443102, -1, -1, 341235848, 946791626, 24568166, 34783082, -1, -1, -1, 47709403, 599812451, 74476002, -1, -1, 607186490, 469993138, 329315314, -1, -1, 126248791, -1, -1, -1, 67679496, -1, 723230329, 895020776, 823620444, 834295194, 866941598, 440699456, -1, -1, 311049598, 677368221, -1, -1, 647223847, 717337221, -1, -1, -1, 262854040, -1, 657760901, 906024795, 969106957, 255588432, 58070974, 668226489, -1, 385321582, 539461920, -1, -1, 168410188, 639678366, 585702037, 516353305, -1, -1, 98287810, 90835415, 972622279, 84200489, 746352907, 328991110, 941851228, -1, 636159687, -1, 365637882, 207808252, 883334473, 991288786, 477215555, 977724602, 259767418, 908107375, 584748002, 64319641, 859167109, 946167847, -1, -1, -1, 276565310, 33413437, -1, 372695945, 914054242, 514312635, 287402777, -1, 28960446, 328345613, -1, 698722121, -1, 193705527, 416469427, 550692975, 337193503, 172871112, 992321269, -1, 54797413, 977337863, 995742163, -1, 865671414, -1, -1, 545644934, 895890239, 908953258, -1, 576502706, -1, 569276904, -1, -1, -1, 592192997, 169186004, -1, 973927032, 559089146, 417638057, 191852541, -1, 51912384, 622635414, 380149358, 16364897, 514565477, -1, -1, -1, 281469284, 285900898, 882398486, 506227917, 258661883, 563903803, 52405489, -1, -1, 654653533, 261651231, 134881875, 995481856, -1, 874452847, 953829153, -1, 300816379, 44842305, -1, 690023523, 287090744, 861083232, 854694763, -1, 716821870, 958391367, 729650580, 587738150, 458943437, 315330715, 973821735, -1, 913272938, 560294000, 527548116, 986871059, 958110302, 925454742, 506915068, 202214856, 43063454, -1, 789914907, 243147514, 195768296, 129054348, 671908247, 301197510, 735237479, -1, 67250330, 748091270, 978410546, 447244498, 770745155, 303632613, -1, 963685335, 495061843, 715691918, -1, 392057865, 465017719, -1, 172689392, -1, 848713267, 217321364, -1, 366020084, 669918769, 815206167, 239642277, 638826641, 93824779, 584655681, 512968757, -1, 321609369, -1, 696307123, -1, 181455730, 158988620, 201885599, -1, -1, -1, -1, -1, 295992519, -1, 95096867, 485054082, 801952624, 748945566, -1, 690240704, 2769256, 132418973, 943249269, 978551221, -1, 782785548, 423491388, 747501759, 666216282, -1, 242501525, 959482601, -1, 63922649, -1, 696104640, -1, -1, -1, 96739769, -1, 951133347, 145223463, 970310202, 761753812, 469556842, 739394503, 100524987, 204563287, -1, 547020742, 690928675, 143259116, 941755474, 606778753, 607959679, 396789461, 458207649, 706865011, -1, 183949674, 796591495, -1, 98891745, 794130180, 424179712, 608326308, 793797059, -1, 922879839, 61089923, 541129549, 601109959, 536302876, -1, 606493183, 705213243, 557558572, 281428480, 922243886, -1, 415914517, 423139085, 41313443, 198799675, 606415074, 120233973, 751114913, -1, 524182899, 821248305, 961247459, 393774049, 450040993, 236662824, -1, 209552576, -1, 711454364, 345636101, 592350399, 167413969, 365174773, 760350938, 7757538, 805260404, -1, 765359158, 32768912, -1, 990501176, 190177905, 983698474, -1, 899052873, 898005154, 120544385, 402188071, 498969902, 664283895, -1, 413853610, 281120242, 122570464, 477770525, 938868327, 361848756, 189309267, 638092965, 678181836, 452342087, 574527098, 651093328, -1, 130815299, 985926716, 643342351, 610275761, 259303619, 713902383, -1, -1, 983971904, 819520964, 163726253, 187043883, 211003545, 59498353, -1, 188666752, 144186730, -1, 436117137, 757328948, 87172028, 497845353, 181587371, -1, 843879616, 768538658, 120427743, 485348447, 556151969, 371882666, 315721634, 907463064, 648577791, 273403680, -1, 823657036, 826457865, -1, 981831269, -1, -1, 89485578, 644054426, 774436626, -1, 642680574, 821503057, 364429175, 127677847, 589004966, -1, -1, 810954534, 173574414, -1, 981517224, -1, 924983247, -1, -1, -1, -1, 361111893, 855617753, 892478371, 289726356, -1, 990802136, 585606657, 567949897, -1, 845065382, 808345989, 124827247, 454826994, 732493312, 71343664, -1, 752624181, 675265776, 554646707, 156669372, -1, 210002236, 702636994, 679257733, 66827834, 541439176, -1, 419713588, 641213345, 333506930, 681875165, -1, 847224596, 857255401, 604671165, 129138258, 654445923, 25080436, 505609659, 516141476, 161562865, 594687909, 942426503, 589763964, 891713999, 618183071, 605986571, -1, -1, 703531846, 490690631, -1, 94829854, -1, 105901586, 198021771, -1, -1, 293488973, -1, 668171993, -1, 381240485, 475677475, 613560880, -1, 396602956, 823742368, 365990641, 762829637, 260591616, 700546963, 376989340, 732526665, -1, 26171685, 622113849, 467538707, 639653176, -1, -1, 588816630, 578709968, 399418585, 832813282, 132588650, -1, 543280047, 561454764, -1, 943914076, 480001343, -1, -1, 906156791, 223621345, 11870374, 640879076, -1, -1, 741192133, -1, -1, -1, 835361084, -1, -1, 10628817, 69520733, 487722375, -1, 683819696, -1, 371827457, 865559631, 794444147, 83734000, 986138151, 572337908, 945797793, 212534459, 512879843, -1, 234228393, 792909698, 271499069, 584420619, -1, 487450703, 79152871, -1, -1, 80888412, 731685600, 31271622, 374386247, 472929857, 507716587, -1, 408238343, 577568367, 993398420, -1, 231948510, 883090254, 575534277, 705206877, 78990170, 664014003, 839438559, 449843792, 28130350, 108190041, 683728160, -1, 772583342, -1, -1, 962490641, 56174246, -1, 252437776, 821204041, -1, 35578926, -1, -1, 644104247, -1, 897335726, 291103755, 356327667, 362765929, 588757868, -1, -1, 109678178, -1, 999625675, 641550877, -1, -1, -1, -1, 518297936, -1, -1, 294678915, 644604373, 23867626, 514818490, -1, 25668999, 48352892, 604693047, -1, -1, -1, -1, -1, -1, 331690254, 861835210, 231077616, 868450901, 603094951, -1, 335915979, -1, 828504770, -1, 43503609, 725046142, -1, 581611496, 535298393, 704051943, 539255771, 575162940, 734738236, 463006561, 24118214, 96483667, 892669564, 82015217, 2786289, 459014276, -1, -1, 284377711, 378019061, -1, -1, -1, 489930559, 962397327, 99637899, 71092059, 712679536, 332033172, -1, 535230294, -1, -1, -1, 893527064, 404144870, 285210983, -1, -1, 651413037, -1, -1, 535289853, 425587107, 397380483, 48757547, 822076849, 184860797, -1, -1, 693575722, -1, 835790147, 998565734, -1, 258367766, -1, -1, -1, 825568662, -1, 837309764, 335323035, -1, 13433953, 657549366, 426086303, -1, 119707515, -1, 351693587, 627786038, 34459272, 889669292, 253314907, 865783408, 663795323, 897515005, 644940496, 426462541, 309448366, -1, -1, 535351277, -1, -1, 452097241, 110226232, 664829726, 170981612, -1, 793139234, 523969510, 136880508, 387053992, 93380734, -1, 49578908, -1, 235653213, 875461381, -1, 879155444, 628859078, 459599987, 465975874, -1, 894248121, 658185565, 643657995, 42787789, 173772394, 29822726, 634817140, -1, 45627525, 63148889, 624659966, 927445041, 640880513, 224481627, 834750076, 510810518, 743255397, 453464405, 84369175, -1, 248254121, 363756744, 688233690, -1, 485331877, -1, 208882524, -1, 910164428, 870217312, 937639620, 622084018, -1, 344832883, 600444266, 813567113, 101230459, 412043627, 203012400, -1, -1, 958078951, 842761595, 915935908, 418170575, 88166417, -1, 386277639, 148402308, 731718040, 259519758, 990038111, 795449154, 963826527, 373656964, 116417060, 923369803, 408716828, -1, 995542595, -1, 104809336, 57769034, 265494322, 536696327, -1, -1, 801714224, 692379887, -1, -1, 423360947, -1, -1, 974766031, 549287678, -1, 140506142, 454170479, -1, -1, -1, -1, -1, 659058688, 89536612, 646086229, 591112663, 761698255, 728886250, 426325953, 811371381, 229914596, 509838165, 723641366, -1, -1, -1, -1, 349422693, -1, -1, -1, 513879400, -1, 154433479, 360172893, 931337715, 99877662, 609837588, 255684903, 921557630, -1, 454489024, 910771050, 941513960, 938737624, -1, 785369817, 117059824, 133274042, 623146657, 177211309, -1, -1, 899690084, 587951215, 306017970, 593263919, 314132493, 671576940, -1, 57113737, 573741493, -1, 385308284, -1, -1, -1, 173826868, 130008584, 634297515, -1, -1, 668924988, -1, 550417067, 872844454, 539491365, 401342070, 554914083, 333846111, 851098647, 18958018, 811687667, 512531766, 698595470, 453694574, 214163991, -1, 527302, 305503026, -1, 895234959, 791202193, 412699079, 103345316, -1, 602822407, 579515318, -1, -1, 120237157, 989160966, 390098680, 261171372, 110425818, 991716386, 800091397, 576394477, 914052968, -1, 44778479, 617390478, -1, -1, 273084928, 836725293, -1, 701579327, 13581348, 295736540, 898803214, 150574430, 432589166, 185889630, 467117694, -1, -1, -1, 901147662, -1, 64994721, 994223818, 23272467, 850605033, 351678796, 722856637, 458294006, 802662343, 317872644, -1, -1, 29439704, 739077123, -1, 162160994, 152726375, 762959001, 155662106, 229477147, -1, 787919191, 16242841, 215823272, 517212043, 131389381, 741697088, -1, 974190477, 812240422, -1, 742838118, 143166229, -1, -1, 130730418, 239183905, -1, 492060571, 130726157, 932448642, 114696259, 439703311, -1, 639691552, 348083912, 946545330, -1, 227112552, -1, 29508574, -1, 559601257, -1, 505177147, 257307671, 414501216, 642730417, 128909226, -1, 974438291, 692577593, 801757236, -1, 666627114, 236313857, -1, 748919926, 441533539, 186703022, -1, -1, 510339898, 645687807, 946220067, -1, 445052756, -1, -1, 87686447, 233080918, 483913094, 74187570, -1, -1, 269293170, 994252496, 126277738, 119033905, 727907822, -1, 517996666, 99098430, 640269290, 252912694, -1, 490289384, 489238265, 397125347, 219588435, 853678286, -1, 623653632, 482359872, 833509213, 461557, 49325721, -1, 458059279, 515795568, 881928835, 989531689, -1, 327048937, 873439435, 696496621, 26979024, 451405541, 962114797, 952434368, 710909213, 234979679, 470173715, -1, -1, -1, 519637304, -1, 722470267, 68975869, 113499873, 290333541, 196098029, 755769064, -1, -1, -1, 460767585, 333647529, -1, -1, 323083934, 575719115, 956061914, 859135294, -1, 991482423, -1, 764111291, -1, -1, 409601819, 811447441, 680052391, 367188843, -1, -1, -1, 745349077, 821539535, 731344636, 563604708, 807505047, -1, 923412765, -1, -1, 732476316, -1, 166415144, -1, 640428188, -1, 597896159, 385293505, 172866552, 675504075, 441815992, -1, -1, 909466231, 585020182, -1, 120229843, 691501878, 137867488, 698707186, 965858402, -1, 677134200, 550793190, 328994498, -1, 243518625, 696625499, 756756, 722073002, 512252348, -1, -1, 615117963, 810032958, -1, 342243924, -1, 719814779, -1, -1, 568622201, -1, -1, -1, 213345032, 222495034, 216915614, -1, 631916269, 457176521, 351874420, 148843651, -1, -1, 798349044, -1, 387311706, 523481421, -1, 387324362, -1, 324849205, -1, -1, 883470466, 111591418, -1, 891620399, 741038979, 16784005, 833208177, 66228518, -1, 360060561, -1, -1, 987845970, 935739766, -1, -1, 222012658, 995506982, 978492593, 916323242, 592721008, 96103545, 222395887, 825641974, 558388229, 881878350, 989001332, 347694613, -1, 303641972, 785433668, -1, 30327063, -1, -1, 789543530, -1, 46806747, 438916298, 151232745, 230788060, 174886225, -1, -1, 923018575, 71748799, 214047906, -1, 910427253, 271421876, -1, 772165188, 958214700, 81340138, 848512201, -1, -1, -1, 754915301, 490893186, -1, 554742030, -1, 635805787, -1, 146593865, 908592402, 561295035, -1, -1, 194869288, 31178601, 76935231, 600269184, 334762924, 582461651, -1, 674791349, -1, -1, 201019530, 734045379, 491665558, -1, 209998405, -1, 248840157, 844510534, 826265784, -1, 973893555, -1, 524114674, 563137228, 635653644, 968330451, 658536126, 521097695, 785159275, -1, 997822555, -1, 29960738, 16922140, 215355868, 305908043, 954834694, 71568676, 467884297, 319486530, 601278885, -1, 867120986, -1, 960159583, -1, 373539181, 454526351, 261431145, -1, 48774924, 124634349, 950525771, 359332883, 701628977, 981539989, 626013596, -1, -1, -1, -1, -1, -1, -1, 476308728, 263217039, -1, -1, -1, 211310269, 882027276, 170171672, 191671945, 195479794, -1, -1, -1, 376612441, 89789430, 310581877, 276384558, 284816125, 207937596, 71276079, 471597980, 165027507, 26596668, 114844434, 897986580, -1, 355117139, 728947077, -1, 343750243, -1, 551501190, -1, -1, 966942706, -1, 22579019, 9561955, -1, 314312692, -1, 92817200, -1, 640252897, 558811359, -1, 308707360, 107952087, 580473010, 412191965, 72432720, -1, 110177496, 948334199, -1, 691070328, 245350338, 740409841, -1, -1, -1, 643765760, -1, 299383685, 11622519, -1, 488849958, 520117679, 249850486, 892787130, -1, 916067003, 584338114, 197808698, 956300487, 649505567, 600231070, 275070112, -1, 22311322, -1, -1, 481140048, 429766563, 173028842, 815510077, 470359511, 49130720, 612763917, 811714287, 949339793, 657621319, 805365837, -1, 836980348, 442750724, 45581482, 837338108, -1, -1, 886710006, -1, 990244031, 451522531, 128762782, -1, 867022446, 238147562, 667912537, -1, 948395186, 266340058, 717045466, 664464927, 165681963, 897775547, 265044298, 816878255, 342080209, 150349213, 708188672, 162758681, 913739533, -1, 745557721, 227245223, 767237773, -1, 89676717, -1, -1, -1, 721371278, -1, 397684779, -1, 509171420, 21699540, 350787782, 953256318, 930655266, 11729474, 32087412, 490174107, 586651918, 398525999, 640166373, 943098270, -1, 968408447, 961211753, 166161225, -1, -1, 741071783, -1, 214288386, -1, -1, 619893173, 228714406, 598799686, -1, -1, -1, 734278632, 279489612, -1, -1, -1, 621811604, -1, 422673068, 80248562, 774892618, 511836454, 73151954, -1, 345053764, 302297869, -1, -1, 46313322, 214284685, 753605648, 143566599, 104711172, -1, 928532208, -1, 830493185, -1, -1, -1, 562957827, 815209478, 737513485, 472484530, 767712548, 317311207, -1, 161487361, 813055662, -1, 150644583, 252624908, 462240887, 502061926, 39158287, 105508521, 624418607, 943875893, -1, -1, -1, 953596861, 227499876, 703004489, 641105639, 636565132, 267892348, 829840375, -1, 50422950, -1, -1, 351570420, 57909846, 451160366, 198118663, 764639121, -1, -1, 850561151, 443804725, 386683284, 215076469, -1, 645041175, 91077436, 147828449, 913352379, -1, 465154613, 95926264, 115783426, -1, -1, 418188703, 83913718, 759567261, -1, -1, -1, -1, 142803152, 684567619, 304366283, 685876670, 870259315, 263342920, 741611495, 852310855, 272350877, -1, 939188894, 561754322, 880073735, 650985580, -1, 950543924, -1, 512098832, 69951356, 716972547, 805400987, 147169995, 904999856, 462633843, 203676558, 948830276, -1, 318920416, 875143868, 742453524, 918335952, 458110550, 387601608, 637428824, 677347574, -1, -1, -1, -1, 595246246, 833675468, 40304923, 356393803, 873343613, 383772662, 395884150, 829557663, 443938736, 438635975, 31905839, -1, -1, 725825587, 436813920, -1, -1, 212335846, -1, 718929554, 871750679, 995951525, 242324498, 6056723, -1, 543477664, -1, -1, 713781434, 30659634, 691275914, 168169128, 855453098, 773367782, 365471361, -1, 573824153, -1, 137751295, 946330392, 468561787, 525795166, -1, -1, -1, -1, 483385098, -1, 109754444, 27501143, 29495830, -1, 943113539, -1, 127563500, 390508578, 160859918, -1, 705572001, -1, 486525015, 406625313, 611547800, -1, 197031190, 178462355, 153961538, 107732340, 393493406, 536011497, 459138397, 1277658, -1, -1, 830415905, 254307154, -1, 608917184, 682124532, 606522873, 922694234, 551992982, -1, -1, 214422884, -1, -1, 630293183, -1, 371727235, 820219465, 242339866, 843967534, 427123807, 108825291, 632691078, 603344279, 130829314, 441287211, -1, -1, 833078410, 628984176, 928872057, 313531778, 325670564, 137015738, 19694604, 437848099, 201182573, 948836870, 874064295, 551467073, -1, 959390032, -1, -1, 996287003, 42734161, 666283561, -1, 338326671, -1, 770518808, 142990989, 368642994, 641979608, -1, 714800603, 110242726, -1, -1, 645224886, 428037128, 853804743, 683760385, 474471375, 256672151, 765845560, 903791883, -1, -1, -1, 91830113, 713753412, -1, 695768751, 818685765, -1, 602273962, 623172081, 219128586, -1, 987709245, 335244723, -1, 328549321, -1, -1, 317347270, -1, 285163698, 837086029, -1, 419114520, 268174309, -1, -1, 513200892, 339399580, 972155120, -1, 639600828, 115102053, -1, 715637548, 206888650, -1, 297544422, 647548783, 921615282, -1, -1, -1, 924493838, 431642349, -1, 205760138, 615362949, -1, -1, 538745938, -1, 642494050, 891398961, -1, -1, 959773602, 260621204, 355708762, 409125306, 1790187, 979349935, 537697740, 567803908, 573562922, 893971689, 802113640, -1, -1, 642150698, 345809924, 519328629, 261429427, 285040251, 238971481, 320047097, -1, 160727757, 113794206, 264189032, 328493883, -1, 717969220, 251921804, 416514059, 84586925, 185438722, 879492562, 751765797, 862493582, 604144348, 11453588, -1, -1, 463389918, 910445597, -1, -1, 766055011, 438230183, 391449168, 908466043, 323274245, -1, 192016, 164464860, 274581858, 868891147, 271788402, 761711811, 681116998, 293786533, -1, -1, 621622455, -1, 4232226, 215835189, 151869349, 898970167, 963142360, -1, -1, 326509124, 677709441, 661549020, -1, 887556273, 798812889, 91855892, 248836682, 114928402, 609782830, 75598261, -1, 265963160, 815917588, -1, 409855576, 730362117, 697337188, 506179387, 795432838, -1, 941385955, 411984255, 29148692, 894141376, 613223767, 558418370, 529693828, 655947668, 800016547, -1, -1, 864556553, -1, 133283284, 695645659, 584217384, -1, -1, 331233838, 77063647, 589728705, -1, 418181995, -1, -1, 669484584, 585620286, 298032651, -1, 983758037, 815995156, 751162095, -1, 787027854, 89087, 986254510, -1, -1, -1, -1, 627295099, 312710369, 574930562, -1, 197745997, 611988057, -1, 855607596, 918537739, -1, 145600208, 302222708, -1, -1, 787974382, 285663251, 882235808, 865889307, -1, 378199409, 684130641, 228034506, -1, 18249164, -1, 949858001, 506504354, -1, 688214741, 199308569, 984843931, 620419624, 884657869, 441612259, 100201216, 817904844, -1, 520225785, -1, 760501737, 347155838, -1, 589661519, 256565628, 76840122, -1, 590634011, -1, 845786070, 911651462, 741004644, 491893465, 926211509, 16941357, 302903704, 5314597, -1, 74665345, 956910384, -1, 229739157, 793456791, 802593857, 454188230, 927267476, 86928982, -1, 91002327, -1, -1, 347899364, -1, 135970612, 350473625, -1, 266536375, -1, 683045116, 56610868, -1, 854750453, 133038367, -1, -1, 826175180, 364567816, -1, -1, 788258862, 294759405, 884430423, 698577303, 523476085, -1, 565331821, 423461270, 474892816, -1, 122367148, 92682452, 895630200, 913356005, 17006416, 874745555, -1, -1, -1, 990826984, 83813852, 887416776, -1, -1, -1, -1, 372820724, -1, 910406161, 367574769, 165927962, -1, -1, 936030024, -1, 107901247, -1, -1, 936781585, 401002251, 795921560, 109626865, 490573008, 434769965, 298003868, -1, -1, 273894597, 56083672, 710729799, 774262238, -1, -1, 321711454, 646496736, 530289387, 285735993, 570475708, -1, 726325660, 741528646, 673937040, 934063510, 98478783, 230709174, 92420595, -1, -1, 205746452, -1, -1, 887770600, 511194381, -1, 481888280, 825473798, 684818392, 597623576, -1, 424360047, 448075217, 771964115, 968944270, -1, 507773222, -1, 613151331, 515093643, 374878451, 477581487, 754434009, 991433676, 667697963, -1, 214982334, 927842732, 536414830, 485933102, -1, -1, 707906955, -1, 544794039, 265095290, 187943780, -1, -1, 824853082, 286664158, 656486623, 341613739, 417937044, 659261820, 463112145, -1, -1, 362636792, 207959514, -1, 30571127, 298265099, 283111891, 89189359, 918917845, -1, 47520898, 560140785, -1, 50651429, 292131343, 903092345, 677631980, 214734195, 529456193, 932201186, 435474758, -1, 725334714, 778953196, -1, 976266591, 626167290, -1, 661591229, -1, 639093742, 847625047, 371260534, 809497781, 338388578, 571277361, -1, -1, 247286793, 63871550, -1, 214627569, 877499062, 930714577, -1, 987387996, 54420114, 978761674, -1, 329273677, 815030977, -1, -1, 535466194, 464610850, 423235373, 907037301, 501796374, 378289597, 107744054, 590969629, -1, 916961210, -1, 661606430, -1, -1, 838781696, -1, 908599259, 995091837, 884213243, 143688667, 648512710, 20683693, -1, 731373668, 95983293, 187131103, -1, -1, -1, 629214225, -1, 845012091, 252011170, 220743747, -1, 446924278, -1, 528984388, 358728727, 241658009, 331200443, 488699836, 731172594, 871080015, 621639445, 751006382, 561104690, 376770946, 354852162, 143959421, 998768622, 230098202, -1, 124909317, 580998312, -1, 841070660, -1, 962622172, -1, 800149260, -1, -1, 743815239, 271908629, -1, 255894509, 163123752, 437962812, 229224334, 36306959, 767301460, 207889250, -1, 953688920, 131965336, 378062564, 689305436, -1, 65105612, 290541545, 156961477, 803302677, 675600947, 453010941, 930416687, 548804248, -1, 145307151, -1, 436541399, 633325829, 536708579, -1, -1, 273448417, -1, 700548824, -1, 593474502, -1, 25004589, -1, 602748551, 766480327, 896556551, 176889132, 906859946, 791578284, -1, 159689661, -1, -1, 227716951, -1, 833560782, 659156108, 597834260, 139448399, 186068657, -1, 580285695, 756120322, 989261063, -1, 370356299, 131075580, 429158271, 894242887, -1, 824008324, 801150908, -1, 830682977, 832714295, 491777999, 542393971, -1, -1, 383988913, 254451928, 172273007, 937215819, -1, 953356533, 28089050, 103459422, 913144174, -1, -1, 84380171, -1, 680242919, -1, 618394435, 204093462, -1, -1, -1, -1, -1, 658410065, 217073138, 177433431, -1, 22418509, -1, 340664221, -1, 263915825, 242731965, 706666483, 567624504, -1, 317407359, 661815224, 954536992, 913912036, -1, 435142589, 838506532, -1, 815448330, 242959868, 536145518, 928389651, 183354877, 984530973, -1, 974215716, 17970460, 124743548, -1, 919299007, 869541490, 440865336, -1, 635972937, 673828315, -1, 836864703, 348334202, 305133342, 451324455, 864193697, 264133600, -1, -1, 962592317, 107977438, 747179364, -1, -1, 693857442, 729076397, -1, 930955627, 246772124, 586287155, 747932605, -1, 324158043, 944012205, 922663169, 871738717, 346756618, -1, -1, 919355398, 539760616, -1, 621958671, -1, 470185899, -1, 444264969, 832468864, 558491084, 201765290, -1, -1, 785125083, -1, 723707200, 772172917, 620469051, -1, 145236462, 245179452, 919722148, 673954929, 262750888, 634598473, -1, -1, 276844226, 314783848, -1, -1, -1, -1, -1, 69114152, 400494142, 604607291, 53049255, -1, 213526301, -1, 530665484, 47412195, 91425919, 25973166, 205878615, 950667171, 93535982, 202506522, 175222627, 287024956, 750798413, -1, 106872341, -1, 12898698, 10390271, 909980022, 883573278, 850762655, -1, 499093931, -1, -1, -1, -1, 11461120, 96544002, 654582541, -1, 315799443, 337136505, -1, -1, -1, 207277096, -1, -1, -1, -1, 209704870, 292536941, 100836329, -1, 580328047, 232597946, -1, 903649817, 317629275, 544726617, 575641409, 967826343, 948690795, -1, 959651397, 840930454, 947083110, -1, 185203120, -1, 637207393, -1, 498964474, 496218618, -1, 248564249, 974971449, -1, -1, 297168545, 538793003, 931047723, -1, 704597421, 48167008, -1, 509943110, -1, 604233337, 146318267, 568911760, 685450384, -1, 824294079, -1, -1, 116146075, 761625735, 243243452, 380760587, 875855195, 691825462, 387655574, 371997130, 639978014, 332403011, 29541690, 831711183, 448026896, 392268105, -1, -1, -1, 617763376, 326922992, 1470590, 402116107, 662909935, -1, -1, 377514549, 813492931, 441761275, 624637678, 21782955, -1, -1, 956249887, 650846846, -1, 815502499, -1, 570980093, 839826144, 174802030, -1, -1, 676863522, 853024043, -1, 54060242, -1, 168243708, -1, 538268354, 959497403, -1, 852694150, 117899720, 917629104, -1, 944400692, 770363780, -1, 865667878, -1, 134094880, -1, 731711591, -1, 511529886, -1, 813547433, 925403976, 885144168, 48494003, -1, 39285051, -1, -1, 934121575, 859212033, 407081159, 131426772, -1, 410095151, -1, 242196396, 490868882, 874093271, 850862115, 604312075, 52599228, 836930032, -1, -1, 960325349, 637620447, -1, -1, 319800095, 168891353, 399702162, 479258462, 497223018, 483277730, -1, -1, -1, -1, 652419965, -1, 10060692, 291881271, 108456303, 664822827, 438384639, -1, -1, -1, -1, 451659167, 520574240, 8259380, 554120519, 519001059, 618996842, 714222741, -1, 414083441, 989547694, -1, -1, 234414736, 852985544, 353567557, 941972461, -1, 467925236, -1, 660071729, 26783616, 294785172, 638632616, 266056096, 837763546, 993671494, 594597550, 272398058, 822300519, 994537332, -1, 550825545, 576621038, 903415443, 751565996, 771621458, 432500594, 87773961, 771371337, 86217396, -1, -1, -1, 280568261, 927534385, 494992645, -1, 394592296, -1, 682081659, 95467098, 35527596, 927348731, -1, 27669003, -1, 77359979, 519890474, -1, -1, -1, -1, 747259691, -1, -1, 930637851, 504579520, 105259575, 100412369, 607207386, -1, 406846658, 551114465, -1, -1, -1, 322095548, -1, 92982063, 434920233, 826283983, 550958569, 738901187, -1, -1, 776498971, 67507143, 957777046, 863907742, -1, -1, 429897792, -1, 556288281, -1, 13394184, 102954209, -1, 637858418, 536014741, 181094824, 765072033, 931507071, 166359698, 907822190, -1, -1, -1, 898466365, 685154363, 227117416, -1, 187924102, -1, 891353384, 532546552, -1, -1, -1, -1, 576431416, 662340627, -1, -1, 844485466, 866723408, -1, 705957680, 186971645, 979021257, 359579281, -1, 318780243, 615686609, 536017455, -1, -1, 428367381, -1, -1, -1, -1, 195791444, 585273904, 734732801, 211905164, -1, 833715143, -1, 664899785, 811637436, 546075025, -1, 991732680, -1, 567404610, -1, 864874401, 361571522, -1, 910893012, 756860580, -1, -1, 777029768, -1, 632147821, 93310215, -1, 726194753, 225207807, -1, 20892109, 83667259, 605308248, 707930499, 621288525, 348580901, 938759524, -1, 614396055, 83536318, 357112196, 659318916, -1, 964565735, 680753124, 479113066, 729418196, 38762239, 346013701, 929338015, -1, 342633612, 607168691, -1, 559624681, 712967316, 543551421, 161930254, -1, 215740033, 982921878, -1, 141637680, 345669874, 135352624, 944736978, 413548318, -1, 962188399, 777918985, 903037793, 418192407, 257859968, -1, 569817074, 786362806, -1, 769227297, 693780831, -1, 226510468, 656966670, -1, 535550777, 172158938, 6725124, 511503231, -1, 782539661, 981048209, -1, -1, 360681220, 538050869, 929030507, 508032721, 536900396, -1, -1, 463357088, 451449226, -1, 97944673, 532083904, 213280565, 917438141, -1, -1, 289197006, -1, 349839059, 179860371, 99866726, 713925634, -1, 57503636, 205431936, -1, 711966837, -1, 338431289, 758047450, 436119365, -1, 415337208, 612136027, 584449738, -1, -1, 808134360, 114627712, 545350252, 43958933, -1, 138240564, 258543364, -1, 178856149, 799340962, 659476739, 945094415, 343494852, 48380446, 876706718, 846194078, -1, 611272124, -1, 846215611, 398354035, -1, 345589919, 323999097, 84512783, 832736196, -1, 282635594, 739949461, 582148365, -1, 864742749, 826097017, -1, -1, 186803569, 684408815, 904283676, 960980033, 50806169, 849005875, 926110011, 151680427, 951991537, 240135603, -1, -1, -1, 529532826, 817355180, 842052464, -1, 869906315, 237527014, 25496011, 833020295, 36365836, 456688523, 723489782, 60000261, 716522401, -1, 63421004, -1, -1, 8434252, 756840791, 371781609, 902830098, 264832449, -1, -1, 610567933, -1, 229871330, -1, -1, 742875293, 860686150, 736660793, 6624171, -1, 337533986, 194439179, 188254715, -1, 87306026, 124013654, -1, 72934999, 595450407, 860236655, -1, 487461589, 435069933, 662666924, 876366133, 510809332, 493132210, 203409221, 129140574, 900679549, 57718470, 526080210, 106172130, -1, 506199934, -1, 982187993, -1, 173927626, 962730456, -1, -1, 100566396, -1, -1, 439424358, 98812797, 203856936, 304962371, -1, 510111203, 273183862, 965266814, 179118968, 569014977, 554571339, 990248669, 541742869, -1, -1, 909922403, 95117343, 405242765, 687855762, 996566042, -1, 329020386, 862466927, 374848210, 825316673, 795892458, 928260509, 789225456, 909655003, 729274558, 228951959, 425716311, 935188805, 944338983, 952309080, 555140482, -1, 275329975, 495836779, 253339727, -1, -1, 549651518, 492300160, 306225089, 996644043, 936970515, -1, 755821722, -1, 942532495, 816984908, -1, 302127590, 435309868, 422864167, 825976159, 966150187, -1, -1, 834363529, 223691833, -1, 394708442, 596738362, 324159362, 828278460, 518318615, -1, 692467471, 927111309, -1, 155540428, 796346242, 591652990, 547446221, 807561176, -1, 905199082, 975516264, 387282676, -1, -1, 777575665, 845492877, 502192013, -1, 899098221, -1, 517653093, 541906600, -1, -1, 85458592, 236877186, 221665907, 944714787, -1, 138080040, 924106923, 449579334, 422569780, 872997045, -1, -1, -1, 911442121, 141503449, 520196312, 471256653, -1, 572751951, 825233181, 106274673, 125125539, 475031547, -1, 968023733, 568930305, 780693537, -1, 902412799, 962893821, -1, 190716710, 990969821, 527225204, 553987290, -1, 832228498, -1, 23102576, -1, 218160784, 792273616, -1, 820997551, 76748141, -1, 203054545, -1, 101240941, -1, 337971172, -1, 980557679, 582315249, 456911090, 977665843, -1, -1, -1, 125402285, 379017736, 783970834, 934621384, -1, 461890844, 856067849, -1, 253867335, 194778951, 55433210, 886854073, 380756349, 138636652, 98703972, 183483924, -1, -1, 39369773, 603563249, 925518670, 76423904, 921911185, 928809869, 599679515, 360714250, 693538605, 865867188, 908809609, 142592061, -1, -1, 743111038, 924359149, -1, 315629449, 395568376, 892928319, -1, 595378446, 156549582, -1, 656789612, -1, -1, 652726748, -1, -1, -1, -1, 901080689, 386929540, 498377740, 341001834, 101683244, 356757553, 390308531, 573298340, 637029140, 368828746, -1, 517115295, 793893408, -1, 596938029, -1, -1, 153617393, 596648282, 887160231, 46717417, 749929949, -1, 56781820, 531152659, -1, 169012752, -1, 537860668, 437412524, 866131086, -1, 908819407, 221666262, -1, -1, -1, 453747596, -1, -1, 872878856, 477441345, -1, -1, 649293429, -1, -1, -1, 273829717, 279035683, 454258404, 762353821, -1, 182390922, 930727284, 747327967, 513450118, 53398947, 407075478, 437944890, 387095408, -1, 718452836, 567988900, 748333822, 632956217, -1, -1, 656026744, -1, 629777709, 499622523, 87617505, -1, 434339317, 740537411, 857016936, 182825239, 892579484, 521939760, -1, -1, -1, 656131039, 424492800, -1, 824938065, -1, 585913637, -1, -1, 61172728, 953831888, 987409056, 149686729, 139759545, -1, -1, -1, 145302057, 385198817, 166750478, 847194447, 640352539, 611267732, 186990457, 125601506, 83389477, -1, 598456881, 897442358, 197078915, 75836947, 711092382, 934007667, 663398376, 503354055, -1, -1, 88855281, 628277735, -1, -1, 446544592, 977525178, -1, 455047066, -1, 533660825, 967024549, -1, 184759187, 97928404, -1, -1, -1, 709516531, -1, 586733504, 307403301, 822699207, -1, 933277139, 40088941, 438435781, 16509130, 343458317, -1, 148773360, -1, 324982614, -1, 9230122, -1, 301220140, 985889747, 694029826, -1, -1, 657539450, -1, 903072564, 629447549, 174429493, 133374049, -1, -1, 558887217, 398427522, 755721407, 466776946, 182532677, 576937472, 125277411, 738712656, 301997231, 969140934, 655203023, 107764469, 695129975, -1, -1, -1, 664287207, -1, 765467655, 974001612, 369201947, 228307194, 822126934, -1, -1, 730498125, 759066679, 261290983, -1, 270415951, 713753473, 24828819, 229744268, 283073432, -1, 374991518, -1, 56612134, 678244636, 545799958, 894951679, -1, 89789395, 772168007, 287229632, 199230020, 937750210, -1, 181558977, -1, 843749729, -1, 791806726, 599610733, 881868282, -1, 656017373, 298624267, 91844433, 767189233, 162410452, 636328329, 765582448, 586955034, 809605227, -1, 978265797, 878949256, -1, 582592680, -1, 783764931, -1, 139913510, 964665192, 961016005, -1, 695249622, 760041016, 492669120, 433311531, -1, 241925097, -1, 517680977, 510893633, 232637148, 511901303, 34097486, 971195771, -1, 790345424, 929917559, 373634416, 497916748, 390530179, 929767821, 670338808, 623746516, 99069756, 426763843, 606264797, 708978193, -1, 897126153, -1, 384514366, 305349816, 163618664, 444492753, 982098672, -1, 262565337, -1, -1, 757798569, -1, -1, 593019383, 525771842, 464005675, -1, -1, -1, -1, 299730723, 816659393, -1, -1, 952737870, 920201203, 57514639, 361240556, 618367217, 867187596, -1, 441330068, 200667032, -1, -1, -1, -1, 41657931, 191477411, 430159664, 501150592, 170769474, 819969856, 307869843, 296997063, -1, -1, 466774304, 970062758, -1, 64445748, 902269432, 643976563, 765701282, -1, 881701170, -1, 426870020, 150915239, 933679559, -1, -1, -1, 765218859, 813999822, 725054144, 861647133, -1, 462429960, 527626229, -1, 195249412, 870166724, 415225738, 982403924, 591373868, 622550905, 995257511, 947483941, 324270265, 940100827, 988505271, 721945022, 511424685, -1, 422154096, -1, 290934783, -1, 219666727, 368075123, 553743631, 927178437, -1, -1, 459815920, 642234657, 748351654, 206217533, 846045254, 701080291, 386326142, -1, 842037510, 583011791, -1, 654151593, 370414261, 940341047, 464417494, 325000051, 501778702, 583650535, 140991039, 404019641, 974965939, 717484712, 637902443, -1, 841061682, 236812640, 924334179, 592046989, 517142789, -1, 36238622, 986293419, 350231799, 521359598, 630551350, 585245632, 884266377, 46651821, 205467978, 826703926, 674370391, 500093766, 470666471, 486029381, -1, 244577, 196760275, 19766281, -1, 946345598, -1, -1, 775213755, 630710734, 173982779, 513379928, 194095223, 445891390, 788277125, 403123456, -1, -1, 922933745, 638820294, 276884161, 182246234, 500124042, 223551987, 960134387, 992193966, 988320425, 245460769, 789734307, -1, 400395810, -1, -1, 622593385, 953639753, -1, -1, 32301483, -1, 940530117, 681322790, 638884264, -1, -1, -1, 684159445, 170276678, 439774472, -1, -1, 75870663, 658942605, 98614550, 310700507, 758988444, -1, 360362340, -1, 104451006, -1, 65751586, 23622965, -1, 823603263, 787113155, -1, 33580893, 468837975, 916816212, 236301610, -1, 664474466, 392870020, 255585227, 752953297, 434047370, 515514680, -1, 208250856, 696481855, 939366603, 838154208, -1, 283880534, 77233825, 975005404, -1, 697092241, -1, -1, 749939044, 172278694, 80896855, 298210790, -1, 503643127, 926872895, -1, -1, 468295, 294536659, 707502348, -1, 693007624, -1, 814682466, 427095240, 513265666, 745276513, -1, 885497933, 23013695, 330852812, -1, -1, -1, 556601872, 516100689, -1, 818810806, -1, 608472368, 584082075, 914337325, 839283448, 727726123, 798500741, 359429543, 580062692, 118860006, 435529873, -1, -1, 846995599, 519210548, -1, 665661257, 237964020, 182203872, 700884165, 904974721, 128010669, -1, -1, 330289264, 396232824, 490471423, 500397340, -1, 643289225, 625679797, -1, 384119341, -1, -1, 290400035, 393118285, -1, 332700314, -1, 993876189, 807972375, -1, 686441108, -1, 654201723, 472092921, 673058458, -1, -1, 101002128, 950307535, -1, 331660188, 331790150, -1, 397014786, -1, -1, 355967273, 221109655, 603605494, -1, 40342711, 603871845, 162546146, 839338340, 863055242, -1, 848745565, -1, 90331763, -1, 236666456, -1, -1, 859998904, 795842606, 931178905, 880256154, -1, 96772289, 212887765, 293650094, 970824628, 90368619, 945265291, -1, -1, 195771256, 823318239, -1, -1, -1, 320429988, 52536762, -1, 724884844, 944361175, 769566859, -1, 628799133, 412678377, 826196478, 564845134, 721202711, 991983297, 172599696, 592908270, -1, -1, -1, 841651629, 804010480, -1, 456783923, 717970280, 649417815, -1, 505410750, 846625628, 249993227, 584549014, -1, 949351169, 469987239, 609647534, 88996767, 973688552, -1, -1, 317379318, 987901067, 920607336, 649487352, 455323920, 795224813, -1, 240189586, 430968373, -1, 857857691, 304232602, -1, 954494733, 560964689, 478464235, -1, 935707054, 860084404, -1, 3120988, 854083738, -1, 599091976, 921480308, 305602596, 269045178, 162860298, -1, -1, 802709548, -1, -1, 963075045, -1, -1, 493580191, 562767562, -1, 70504181, 887936146, 697345950, -1, -1, -1, 176194712, 991474706, 986740959, 915078294, 149781832, 416936039, 504444660, 179238102, -1, -1, -1, 241482137, 393020890, -1, -1, 919967423, -1, -1, 677896805, 819252777, 588623833, 755085619, 79156296, 884389063, 668493022, 89973009, 982613243, 458729869, -1, 529495072, 915980729, 875353963, 430190076, 485435931, -1, 286470715, 512497967, -1, 265759528, -1, 706244417, 737623824, 14570465, 324130167, 257369664, 631069585, 632048247, -1, 959550142, 717135596, -1, -1, 673495696, 205953477, -1, 406478858, -1, -1, 411143298, 969601908, 510045197, 313728065, -1, 901330392, 519479320, -1, -1, 397847306, 553777855, 900001187, 650666309, 906868974, -1, 59191568, 849964186, 315535328, 930577546, 486401185, -1, 625808938, 722300381, -1, -1, 317011642, -1, 461391724, -1, -1, -1, 612006022, 721713602, 554166113, 197128333, -1, 173429898, 650805925, 293887346, 349011741, -1, 283632540, 851777071, 811604370, 656259032, 274647498, 810584660, 825962966, 732651287, 276680129, 526659416, -1, 804805932, 564181864, -1, 864625848, 798819615, 501059458, 858931516, 193886683, 653120212, -1, 926959027, 61012015, 608570374, 636315231, -1, 574395493, 634952716, 867013438, 114420497, -1, -1, 201395720, 602044396, 637377698, -1, 46740479, 401617743, 53883736, 259373633, 909077811, -1, -1, 660580521, 674156927, 20102124, -1, 278301190, 341318175, 967882538, -1, -1, 39923134, 679242669, 726679994, -1, 625658707, 490000167, -1, 913416840, 39751454, 755441225, -1, -1, -1, 227359521, -1, -1, 715727728, 214308191, 157871019, 147256809, -1, 350879913, -1, 815266711, 736059493, 620661547, 536095351, 928917329, 699092585, 530181189, -1, -1, 823553949, 67376292, 407923045, 486121918, -1, 687825979, 834638274, -1, 815772988, 275122504, 823206599, -1, 580805997, -1, 881026216, 905906077, 785481640, 587827646, 328012551, 267555309, 597689784, -1, -1, 714640299, 300134754, -1, 855136820, 774539265, 980720710, 569597778, 623161568, -1, 796918387, -1, -1, 323258031, 109069260, -1, 535076148, 361625870, 43710127, 496188402, 586526361, 635478293, 68235913, 27178508, 692216687, 112055886, -1, -1, 163457731, 500257310, 140855733, 945883491, 780955145, -1, 57552354, 734351016, 87350054, 637207849, 320715067, 424831622, 31483759, 513384265, -1, -1, 987981588, 334300899, -1, -1, -1, 841272638, 446674086, -1, -1, 593962569, 279292865, 839845302, 834423673, 812404579, 522436303, -1, 293919439, 66503631, -1, -1, 629025756, 659371319, 864555307, 835672392, 611385098, 759701773, -1, 396730967, 18063395, 322161404, 545409398, 506327566, 5236428, 137393258, 434773256, -1, 186230381, 827871129, 270517787, 283313981, 670691669, 104624636, 799407642, 469298373, 75647105, 855597205, 630246483, -1, 112325943, 436921787, -1, -1, -1, 245283626, 513851382, 6324976, 833537362, 106106348, 411746175, 348818697, -1, 925298001, 961141383, 9202559, -1, 500387416, 17618324, 5214600, -1, -1, 392448808, 671505957, -1, 357647843, -1, 255587992, -1, -1, 680714041, 879054216, -1, 914660239, 694842749, 733483963, 978934286, 336535460, 562449578, 671625035, 82237827, 125068452, 507382490, -1, -1, 456706046, 442630122, 82268594, 929125398, -1, -1, 150693928, 288408232, -1, 768282036, 523314045, -1, 605582440, 473166765, 423023989, 97871380, -1, -1, 187736391, -1, 497784843, -1, 454235194, -1, 695969534, 6423826, -1, 331516758, -1, 747918595, 489897764, 997839068, -1, 170886778, -1, 77505348, 155349301, -1, 649896376, 611538067, 287665203, 313665969, 807640559, 38395806, 229186370, 979884688, 678804474, 188463683, 995916193, 594405958, 384813080, 568310860, -1, -1, -1, -1, -1, 696124819, 23781576, 638746173, 567765273, 405369974, 573420632, 725361622, 668157688, 172453758, 495107039, 476701674, -1, 79075969, -1, 854416854, 542741301, 572094115, -1, -1, -1, 881224113, 895410397, -1, 10448281, -1, 657188373, 602013540, 959878324, -1, -1, -1, 458647831, 343608008, -1, 664769492, 72619316, 974637995, 56273224, -1, 15603101, -1, 95176902, -1, 47761642, -1, -1, 602072494, -1, 734945863, 703282597, -1, 636040130, -1, 744587165, -1, 261355548, -1, 667818458, 468469712, 809259210, -1, -1, -1, 795375677, 634317284, 975646459, 458501411, 4799485, 232656741, 818632832, 240069815, -1, 107308367, 180403359, 983040506, -1, 313042667, 417871494, -1, -1, -1, 297827891, 455930334, 701525771, 939435418, -1, 831973818, 303282985, 986200845, 731160548, -1, 31701897, -1, -1, -1, 516077120, -1, 133926794, 769785302, -1, -1, 812884683, 930401452, 602229363, 630245148, 691637838, 484451233, -1, -1, 691970236, 969158697, 387226898, 247884506, 556714073, 667422119, 409582612, 215019396, -1, 4905547, -1, 931720696, 282050057, 835842981, 618536412, -1, 456438253, -1, 444783421, 41027984, 211901630, -1, 42822139, 65838385, -1, 789874494, 711677971, 652333890, 788105364, -1, 859194490, 5132023, -1, -1, 70136837, 299191195, 748796687, 392127719, 681327356, 424761949, -1, 279899568, -1, 698094283, 970682731, -1, -1, -1, 931403500, 405915845, 330754191, 190424579, 700703499, 128518505, 489602971, 631756819, 163786, 294229353, 563810155, 844528085, 898900454, 625058219, -1, 461868257, -1, -1, 231027092, 59786592, 533891186, 688014431, 635033388, 514140792, 193867357, 280555079, 519164858, 272839863, 282664334, 635089321, 317581214, 602844551, 922992739, 847943722, 505944550, 288018524, 758002012, -1, -1, -1, -1, -1, 798749611, 704669410, 384103992, 357809035, 426254035, -1, 629792393, 387482173, -1, 737664016, -1, 577427254, 958093859, 392269873, -1, 145946291, 549249760, 808730901, 775557254, 446727570, 781600000, -1, 435495681, 161000106, 846674157, 480664261, -1, -1, 778372394, -1, 321853550, 161120103, 28068112, 168856052, -1, 868442238, 930852167, -1, 894376611, 670598175, -1, -1, -1, 698898584, -1, -1, -1, 166451776, 182114351, 333576493, 475145335, 344902201, 463199322, 888790555, 52513177, 438029490, 366460637, 396613803, 247174461, 693659036, 545290901, 303852320, 908274535, 46737798, 648010964, 227986336, 908046250, -1, -1, -1, 19425477, 102117718, 225957106, 193214937, 288214229, 59987791, -1, 975152646, -1, 173208188, -1, 568986744, 638096037, 841623533, -1, 111477617, 197186268, -1, 725860466, -1, 995455139, -1, 565217235, -1, 265552802, -1, 375444478, 379903450, -1, 103573568, 542523060, 912558493, 970533737, 820998441, 198893227, 183361764, 251833607, 148818642, 75453919, -1, 308647239, -1, 31003437, 806456593, 305992548, 833945933, 835089886, 78281907, 105308761, 336170352, 189531547, -1, 33543219, -1, -1, 720248986, 587253702, 411552612, 934461084, 33601314, -1, 937343515, 989689559, 591161377, 384123958, 845005664, 799554803, 319236095, -1, 792322148, 778261311, 694175316, 249725576, -1, 243844524, 497630026, 38757499, 250167998, 628333061, 869742575, 997645302, -1, -1, 1330257, 516130048, 968725914, 30962386, 330930353, 630596538, 175035835, 926573207, 372572903, 543805178, -1, 266200660, 62676137, -1, 308096360, 904462414, -1, 149830029, 601312864, 429879312, -1, -1, -1, 862308861, 627617389, 621150992, 650418275, -1, 648006139, 152851606, 336517049, -1, -1, 307137298, 881006225, 54166528, 689596030, -1, 86923971, 832615028, -1, 312639275, 551712148, 973442634, 594188516, -1, 813260331, 607029719, 239593694, -1, 242295761, 913554066, 122745233, 708781436, 125600411, 374520969, -1, 283745315, -1, 76215892, 339796569, 774148316, -1, -1, 442395594, -1, -1, -1, 780703837, 791778806, 505257251, -1, -1, 697004774, 292292347, 639034327, -1, -1, -1, 586090361, 23753071, 9260740, 566021481, -1, 19665825, -1, 327932029, 704376092, 457548233, 243424208, -1, 848408814, -1, 663155462, 719192585, 338544679, 878804971, 55754703, 293067676, 821670669, -1, -1, 102306039, 17468664, 101092097, 285480030, 986990794, 185246327, -1, 327910890, -1, -1, 221058456, 512501683, 664589986, 283007816, -1, 575969063, 391838273, 841772165, 824836712, -1, -1, 236108773, 470042945, -1, 899780888, 564516558, 244199523, -1, -1, -1, -1, 865604217, -1, -1, 972339545, 254897622, 477380513, 82468367, -1, 114923716, 56656255, 398734244, -1, 522290893, -1, -1, 256659391, -1, 873733473, 518444958, 65934169, 215061890, 910806882, -1, -1, 623277025, 825779381, 820263209, -1, 342588486, 31709194, 170165927, 195025539, -1, -1, -1, 250527619, 271790963, -1, 70770179, -1, 609817697, 484275255, 882873404, -1, 708357927, 137331760, 413879527, 873813682, 79471692, 57942600, -1, -1, 120448889, 244615404, 868304118, 963566570, -1, -1, 597793139, 279171711, 301272365, -1, 170070608, 490854628, -1, 630714411, 93639695, -1, -1, -1, -1, 389956458, -1, 844352877, 661782097, -1, 221563429, 476993029, 261594900, -1, 463509579, 427797076, 418246567, -1, 355320526, -1, 403971837, -1, -1, 989668061, 858083129, 410112696, 316953053, 517309020, -1, 530119943, -1, 596570343, -1, -1, 500252405, 203550072, 993405802, -1, 405702977, 776788823, 867490489, -1, -1, -1, -1, -1, -1, 842182617, 269920671, -1, 997625768, 452141335, 142034843, -1, 857027563, 514298967, 723361403, 777555774, -1, 312520708, 248713831, 982390783, 847643899, 623620580, 116512521, -1, -1, -1, 212855231, -1, -1, -1, 596993373, 699795380, -1, 368234123, -1, 634400198, 543324207, 482819565, -1, 134890606, -1, 786519322, 373641630, 735298117, 242210751, -1, 397403593, 489521981, 445528489, 199797811, 881907000, 731144599, 678951149, -1, 740420391, 409234635, 673304168, -1, 334894452, -1, -1, 617140042, -1, 150772916, 733780994, 699673791, 675143833, -1, 542400763, 532430900, 782679516, 81840830, -1, 76410263, 565051749, 867081225, 540661438, 311137553, 984933152, 272505810, 391512478, 213688381, -1, 232541632, 759130434, 885546771, -1, 576070307, 745979485, 756059275, 751974456, 451104657, -1, -1, -1, 431736730, -1, 748106116, 330996500, 295494612, 914198045, 562222399, 396352365, 287687278, 895717439, -1, -1, 416267953, 389848673, -1, -1, -1, -1, -1, 755094526, 487198761, 763212098, -1, 456628809, 599168034, -1, 256586626, 611379012, 34742882, 600740520, 387066009, 766461603, 224452915, 967960343, 339286143, 206926889, 758859152, 737835920, -1, -1, -1, -1, 6338731, -1, 548595087, 176721103, 364887978, 795928880, 570540924, 885952701, 344347717, 597513337, -1, 477941003, 835275931, -1, 654341849, 35438321, 453430072, 545592171, 387187157, -1, 156459625, 638271577, 979249714, 942084398, 692080402, -1, -1, 794646860, -1, 608135080, 341193518, -1, 531701375, 290610092, -1, -1, 695251628, 347857035, -1, -1, 368985982, -1, 519451842, 678107611, 176876842, 94188633, -1, 999333234, 58174847, 677745220, -1, 431290121, 366224685, 229030337, -1, 315326830, -1, 576052823, -1, 537117692, -1, 53762447, 744974759, -1, 352356370, 276326353, 981799563, 453165502, -1, 152067812, 775881578, -1, -1, 823970437, 38562661, -1, -1, 32629757, 176051426, 407188849, 722652339, -1, 165840038, 91795352, -1, -1, 363239777, -1, -1, 188884068, 773817173, -1, 624813050, 390258972, -1, 842605719, 887855307, 109092585, 875046515, 781843350, 994586430, 589735313, 512598762, 894712415, 558451102, 45211858, 198402, 169487965, 593267357, -1, 996435328, -1, -1, 340453514, 760050196, -1, -1, -1, 201231946, 808051964, 372764800, 205912735, -1, -1, 534483692, 226495768, 999513915, -1, 82144683, 375994365, 202128714, 928828875, 63016369, 698903434, -1, 984850069, -1, -1, 942486165, 31509144, 730515183, -1, 730786833, 436861253, -1, -1, 562077236, 530719672, 478675402, -1, -1, 448310409, -1, -1, -1, 490184902, 796294522, 185183516, -1, -1, 396462177, 676608440, 665832211, -1, -1, 361076033, -1, 662336980, 525295326, 599979732, 510528802, 804820061, -1, 905535405, 430521183, 187901921, 805067377, -1, -1, -1, -1, 421245992, 629857673, -1, 295727520, 81090080, 319181630, 703513271, 214326185, 531052770, 956058320, 693697091, 13503107, -1, -1, 40555541, -1, 853281963, 139092905, 890829294, -1, 646650810, 147419965, 900522160, 367651337, 116130614, 757452160, -1, 194396820, 160306037, -1, 804426582, 326187943, -1, 174668788, 939738915, 730525930, 386219195, 738658632, 515321021, 951025138, -1, 737603301, 495970698, 44593315, -1, -1, 618740004, 511453095, 515837063, 640793882, 418466112, 377802593, 729175120, 654442475, 965911598, 876528616, -1, -1, 792945378, 842348669, -1, 863175003, -1, 544563364, 39576787, 641480525, -1, 324062719, -1, 792391327, -1, 788919776, 309023229, 12862415, 475474512, 441960554, 651106371, 861794580, 590604795, 457777035, 998990059, 735566661, -1, 424918079, 904181529, 930733139, -1, 601432964, 655501117, 839342242, 911997193, 508361451, -1, -1, 437959019, 521805432, 334766348, 479724557, 355079219, 712652450, 209818567, 2038110, 927075611, -1, 598970943, -1, -1, 841762814, 948064721, 648433619, 577257128, 535650856, 94803579, 711105002, -1, 197591640, -1, -1, -1, 38446715, 533521953, 290238364, 401064548, 417112665, -1, 683535918, -1, 127158681, -1, 351393753, 281207615, 165302449, 686742170, -1, 414605451, -1, 991276879, -1, 561053301, 488812248, -1, 946851252, 639555800, 959630080, 645862340, 932211611, 804456665, 316627366, 244154899, 335892272, -1, 101554373, -1, 199502301, 790274562, 79788135, 501446361, 342692087, 152837676, 436106395, -1, 289070176, -1, -1, 289891506, 201354049, -1, -1, 654964281, 744822546, 795612321, 834645636, 192706537, -1, 312960320, 538951299, 146121005, 760903034, 129746169, -1, 116821579, 50857060, 76261142, -1, 569317297, 783871613, 823927234, 427911993, 255530734, 4368165, -1, 198134383, 634019323, 208458893, 556895912, 395967078, -1, 195197766, 236607295, 183194191, -1, 518801121, 692532935, 301938941, -1, -1, -1, 315681367, 104647044, -1, 249771057, 383429849, 645079995, 900111680, 981671911, 319702035, -1, 254020652, 328600402, 538833750, 692371610, -1, -1, 215326623, 632078761, 907954254, -1, 72031068, -1, 115340886, 484544970, 382742309, 694259393, 88658614, 400044863, 813767698, 917655277, 922987164, -1, 144731519, 633079288, 892962713, 759805453, 300759167, -1, 321415091, -1, 400341839, -1, 46847071, 8496661, 84240738, 826539235, 239370505, 101748413, 9590983, 70125038, 579144537, -1, 693907781, 274360608, -1, 142566711, 337961404, 846089836, -1, -1, 35291018, -1, -1, -1, -1, 356561968, 398887334, 121769777, -1, -1, 828674047, -1, 104630761, -1, 960391318, -1, 489023456, 711085735, 491734619, -1, 964912535, 283356877, -1, -1, 566682696, 875995280, 258139089, 472158788, 249588325, -1, -1, -1, -1, -1, -1, -1, 241104238, 732347569, -1, -1, 165344225, -1, 674012205, -1, 964611922, 436729593, -1, 183985873, -1, 290668204, 681124360, 866741989, -1, 559043916, -1, 464434963, -1, -1, 466000556, -1, -1, 40527417, -1, -1, 422810128, 689618691, -1, 747758229, -1, 913649949, 512983184, 795371693, 843618054, 106341746, 542602098, -1, 812226312, -1, 259342994, 297591370, 731271106, 733743243, 23644, 147854921, -1, 532675736, 655680300, -1, 954774072, 635825047, 700465070, 960875215, 346435245, -1, 876154032, -1, 936865745, 386646804, -1, 648841474, 528203386, 888046148, 984045299, -1, -1, -1, 411419415, 221428250, 820228624, 370452754, 59323456, 750464447, -1, -1, 883622778, 497915679, -1, 385821743, 480543743, 747225273, 892842709, 676163208, -1, 866582815, 118061950, -1, -1, 137553114, 582537845, -1, 839209487, -1, 729874104, 637452144, 348628874, 893367900, -1, -1, 378755612, 980556232, 376784093, 610259164, 561998128, 245021692, 453249376, 203867451, 286868592, -1, 691093983, -1, 850396248, 773008200, 842347750, 955616667, 288248678, -1, 139782188, 527921012, 427512540, 926191224, 730876481, -1, 772071609, -1, -1, 238923093, 605677027, -1, -1, 311193014, 862986886, 503432326, 901861293, -1, 711837824, 514782490, -1, -1, 750741649, -1, -1, 485491663, 315855565, -1, 879669800, -1, 526256227, -1, -1, 807482057, 876626013, 321167902, 274836740, 625498000, -1, 24346081, 47091417, -1, 327156775, 233957030, 439301085, 267785003, 987698883, 60783581, 331287948, 314294438, 391359533, 602052723, 22915329, 152066638, 806024885, 465784883, -1, 83143368, 98775956, -1, 239651577, -1, -1, 65645516, 724210027, 942630774, -1, 867809895, 135073539, -1, 470191677, 325506791, 865325498, 547442936, 334568625, 73187132, 194191173, 757540735, 88096854, 617124338, -1, 360609393, 793419955, -1, 179501080, 522147245, 40495712, 774874779, 871096704, 815543626, -1, 43859039, -1, -1, 401192297, 394035035, 904420947, 54040335, 125647376, -1, 534912417, 44166511, -1, -1, -1, 306817764, 242313087, -1, 599179085, 656623792, 728446803, 94512636, 897453758, 950350140, 371005024, 907742899, 953654051, -1, 892162083, 388088527, -1, -1, 822334122, 40672378, -1, 387993028, 847857595, 634669033, 581178355, -1, 673947961, 560935999, -1, 598190187, 924291682, 295524853, 907837110, 682730500, 360479513, 867702946, 310774108, -1, -1, 169785339, 889897632, 21796555, 183758205, 399580419, 140272208, 336123970, 482533540, 505075061, 321061926, 465926815, 591561419, 867561846, 374326611, 863802290, 741253010, -1, 677435521, 242159213, -1, 185672837, 433094046, 805120592, 465414141, 972538746, -1, 341152800, 310259077, -1, 589116192, 628302494, -1, 361986943, 707756552, 900876547, -1, -1, 433773799, 347654248, 86572350, 803628335, -1, -1, -1, 640637285, 85434015, -1, 84789746, 363823760, 593180844, -1, -1, -1, 804466907, 452999091, 630902482, 796405190, 52228223, -1, 795983580, -1, 440812459, 323556947, -1, 634393089, 552080506, 276941958, -1, 949812538, 731894889, -1, 273570227, 100966023, 586873409, 108069572, -1, 252859067, -1, -1, -1, -1, -1, 612826394, -1, -1, 819358518, 836674935, 729036542, -1, 566379235, 257061889, -1, -1, -1, -1, 768038216, 374451238, 5412661, 426415419, 986799075, 557917709, 35917056, 376159333, -1, 832421023, 339579265, 580656315, 61273053, 725885070, 923228227, -1, 522866236, 666036930, 790430551, 456676505, 956048336, 654702662, 10760205, -1, 450367979, 561378234, 975167654, -1, 35558410, 769957440, 111310408, -1, -1, 790985304, 395268292, 528752744, 802102327, 238013043, 118041757, 46859001, -1, -1, 103919913, -1, 785385811, 832885357, 623291495, 506941425, 773240751, 56208269, 558953694, 837711115, -1, 430618236, 61622489, 764068945, 394297184, 362933170, -1, 863640605, 116004914, 227792075, -1, 617659155, 358406602, 939065520, -1, 801978023, 934691354, -1, 722360366, -1, 278485237, 337710834, -1, 684249050, 715981454, -1, -1, 211915887, 450847219, -1, 476426749, 581666333, -1, 254592114, -1, -1, -1, 269459015, 338834685, 144394212, 89908876, -1, 879984733, 611485208, -1, 503948422, 579501485, 488341873, -1, 372201831, 479178165, -1, 394621148, 138492833, 180628165, 252664367, 53895041, 904543268, 480353743, 802019405, -1, 438167343, 809179939, -1, 355281426, -1, 942092816, 323891852, 411724067, -1, 936924030, 421508414, -1, 25066265, 876594120, -1, 491477387, -1, 484836237, 707582384, 882928388, 943594344, 71594764, 196930962, -1, -1, 797499019, 354684130, 702120790, -1, 713813154, 349724875, 802006196, -1, 600525520, 919517667, -1, 892038201, 110943731, 488053899, 527860024, 174802600, 998751650, 577379267, 564546460, 790184915, 973152922, 111361789, 457162107, 849588000, -1, -1, 198024753, 695446693, -1, 436544697, 217062895, 850196644, -1, 411562131, 867525598, -1, 968010425, 473550290, 248945327, 77550544, -1, -1, -1, -1, 949685558, 660148441, 356073312, 539369282, 919126940, 303338724, 767801347, 248197302, -1, -1, 386459432, 623404729, 248410815, 614440746, 158794840, 136702498, 357613133, 666583253, 573962316, 649087468, 737969019, 699215934, 935417797, -1, 497385157, 193117939, 764825700, 900507868, 128961997, 740367924, 109586903, 518099849, 490704849, 66981658, -1, 136025411, 621374799, -1, 974545198, 232276512, -1, 209184200, 913300371, -1, -1, 244691950, 910393497, 465309921, 539832490, -1, 410644396, 563913996, 840464301, 526160871, 724520842, 203475852, -1, 439292414, -1, -1, 225825452, -1, 254402801, 855424152, 148992176, 636265409, -1, -1, 184237181, 212350562, 457495841, 897400777, 213434932, 942533515, -1, 405512338, -1, -1, 471301701, 288916985, 21970625, 234929281, 568646247, -1, -1, 177427414, 276624301, 55042815, 21071839, 327087841, 728522113, -1, 422356488, 200089221, 708621631, 504348064, 997743462, -1, 678441548, 941966895, 607764212, -1, -1, 264207547, 909490502, 596607958, 732182625, 145378187, 332726571, -1, 858691515, 789408586, 49069863, 228448087, 222692325, 28080285, -1, 977824190, -1, 37857361, 131507007, 422775311, 347795059, 879007354, 979922502, -1, 426570437, -1, 820704067, 266852532, 417188113, 826216339, 622664257, 709190492, -1, 858678181, 624743, -1, 666878167, -1, -1, 135360660, -1, 256895764, 575572390, 898591713, 15640964, 838314826, 300777570, -1, -1, 918316267, 53092608, 320582287, 894835756, 781542235, 196280471, 785411896, 858396806, -1, 62665774, 68028329, 531240389, 168824306, 198649819, 904242045, -1, -1, 932029818, -1, 77506490, -1, 482179827, 398027207, -1, 15898903, 803611727, 6707979, 823260811, 961110820, -1, -1, 575702579, 402804708, 89850193, -1, 473500491, 165795773, 57123637, 544790796, 516747618, 275754132, 964968636, 904818146, -1, 162108436, 393579104, 93173585, 448460309, 476558179, -1, 589762990, 949564725, 629779673, -1, -1, -1, -1, -1, 479850478, 913012655, 526849737, -1, 203029445, 333519825, 304264843, -1, 281798480, 646911544, 10556789, -1, -1, -1, -1, -1, 643052305, -1, -1, 729396402, -1, 854589925, 56313062, 422025502, 288436712, 880079414, 342227016, -1, 177871898, 49399435, 180481570, 376725831, 648049261, 77380674, 106800273, 271646180, 985787423, 97817590, -1, 542000069, -1, 242542345, 172320753, 693387989, 791780606, -1, 218059580, 520532450, -1, 291219204, 347628132, 628751842, 388516311, 401952770, -1, 285585878, 481253583, 140923131, 117836312, 838097729, -1, 307908042, 778055878, -1, 84241136, 898540903, 939114548, -1, 156282142, 393345884, 957267704, 17616680, 414545750, 774777813, 26539175, 603254809, -1, -1, 687897371, 81370075, 326826837, 614433001, 963913615, -1, 116586098, -1, 750852010, 632184016, -1, 859495276, 925865214, 319687811, 392622212, 139270706, 738948256, -1, -1, 351202233, -1, -1, 940403211, 640895043, -1, 235377839, 591907056, 605898297, 293465623, -1, 194037004, 725199082, -1, 518867690, 961490949, 863648188, 70621323, 832689479, -1, 445865595, -1, 329704873, -1, -1, 899931153, 312033563, -1, 515673561, -1, 425772739, 9563455, 912872751, 543446051, 983605466, 835844190, -1, 749705880, 627571102, 480159482, 100112904, 263836513, 751987279, -1, 879726184, 133681604, 186440680, -1, 12685404, 514496004, -1, 635076459, 425456313, 345189859, 289496039, 188149341, -1, -1, -1, 149642891, 137011426, 880161593, 911509834, 682810318, -1, 757653921, 654636101, -1, 67577618, -1, -1, 780803491, 66896719, 977035320, 297203493, -1, -1, 754942276, 456764433, 48620275, 230623603, 700937482, 163397159, 914964665, 331046891, 569692341, 951700757, 951615793, 63081212, 999287452, 88738698, -1, 634337174, 278344138, -1, 107147525, 49198032, -1, 33038476, -1, 654524986, -1, 816594919, 52287600, -1, -1, 838000451, -1, 935002093, -1, -1, 898809998, 924061597, 777874493, -1, 254006570, 514719448, 441115501, 500723765, 725602720, 705176788, 971667768, -1, 599339987, 439463899, -1, 731787661, 671364119, 204318700, -1, 142419372, 483293125, 268604242, 433487506, 68586068, -1, -1, -1, 699081664, 76126192, -1, 712247831, 301963888, -1, 908029478, 871092605, 681154450, 709326554, 20784561, 425988879, -1, 559768194, 120332156, 122667161, 762796231, -1, 88764895, 453331122, 264753214, -1, -1, 420802632, 382661732, 533048103, 581915572, 101849424, -1, -1, -1, 591194409, 396747862, 967239859, 406567019, 112220200, 81774626, -1, -1, -1, -1, 726873888, 849298467, 150212394, 291809095, 621511471, -1, 338359929, -1, 758660873, 604867294, -1, 117082588, 212442073, -1, -1, -1, 197669126, 473659577, 53135920, -1, 546538416, -1, 587563014, 246059382, -1, 849558697, 271391193, 133625887, 166139849, 425566602, 216520392, -1, 935205328, -1, 816686218, 371503458, 154529316, 434393487, 584354844, 946089934, 341446998, 125127936, 130404230, 57647311, -1, 963280496, 375942489, 388548657, 776010600, 500134727, 918358743, 882586494, -1, 423013403, 888561988, -1, 358800763, 891710157, -1, 164113352, 857746475, 223242469, 465861622, 181144237, 400460923, 295242709, 939791983, 523404437, -1, 590596098, -1, 185486218, 387888317, 727461389, 507736321, -1, 475191634, -1, 117188980, 395361163, 639247097, 83233642, 314126482, 716265630, -1, 929843813, -1, 362303357, -1, 770756519, 831287469, 255003009, 624458598, -1, 655848818, 843715350, 480288741, 203687952, 899702065, -1, -1, 296331882, -1, 517931908, 26859484, -1, -1, 140970359, -1, 556077441, 247884078, 249817642, 768419399, 829431130, -1, 763840959, 840057161, 723674519, -1, 475280393, 129657196, -1, -1, -1, 894523276, -1, 279772948, -1, 206246149, -1, -1, 275969567, 553958906, -1, 844415163, 485683637, 820124098, 384656204, 283718850, 450471770, -1, 221655848, 12344972, 416851483, 481649799, -1, 783957687, 619871772, 984108332, 806259284, 780839409, -1, -1, -1, 88614493, 626568852, -1, 410451190, 424229403, -1, -1, 654541706, 728169352, 799623597, 627558080, 121403242, -1, 673179705, 850168341, 622295265, 876298902, 357948951, 932607186, -1, 977525305, 961377965, 482155801, -1, 811171696, -1, 7889341, 209652825, -1, 514135968, -1, 914448871, 886777544, 83501411, 433039151, 355747042, -1, 303950664, -1, 96310778, 341055013, 55760501, 920173577, -1, 220500863, 674307770, -1, 709352341, -1, 639281269, 448459812, 638052983, 473063797, 401506580, 936518732, 938767473, 535648585, 308491152, -1, -1, 835882573, 575057243, 627014378, 171450584, 222552392, 830654350, 575895118, 977521131, -1, -1, 640397444, 776252520, 631507127, -1, 527568361, 408485406, 659488188, 867805127, -1, -1, 476134528, 567549091, 836347038, 134141955, -1, -1, 663002601, 289579928, -1, -1, -1, 421652344, -1, -1, 384173386, 612673126, 469942514, -1, -1, 307971700, 310768680, -1, 191871849, -1, 119351425, 236984327, 505307739, -1, -1, 287326470, 764373851, 468257315, 267356844, 672014336, 494398323, -1, 91832733, 49606272, -1, -1, -1, 282222611, 993076652, -1, 649403512, 201352483, 234048983, 499111866, 764673019, -1, -1, -1, 319470055, 260955164, 253076644, 460158753, 441306119, -1, -1, -1, 714855029, 688014464, 339247719, -1, -1, 389143342, 78164552, 768471865, 503184397, 276109706, 369624182, 862441102, 50837840, 976570330, -1, 773468773, 679440816, -1, 771615689, 843000770, 652142452, 701580313, 699665435, 498758790, -1, 479029043, -1, 143781211, 116827800, 133128197, -1, 781037971, 245047739, 742905781, 966570090, -1, 171279463, 908208262, 866027220, 742988042, 98993584, 905177613, 225637656, 846044931, -1, 814101352, -1, 612499976, -1, 243632588, -1, 155125932, -1, -1, -1, 247056350, 581445508, 379022127, -1, -1, 719889860, 41065546, 909052787, 693034491, 819771782, -1, 179484409, 521190060, 523655708, -1, 575528140, 991183030, 289515191, 949353557, 424480233, 465859331, -1, 459199229, -1, 643166916, 738037557, 733171714, 223908262, 44209782, 914969608, 518843494, 901661736, -1, 903210697, 478742673, -1, 765327218, 663928684, 239052615, 10306791, 362042531, 66893036, -1, -1, 910154418, 321443166, 301039139, 702777182, 857217623, -1, 392125900, -1, -1, 650456342, 30276411, 883777547, -1, -1, 495443028, 314281890, 735165995, 811936419, -1, 553248955, 975144461, -1, 249510215, -1, 241726745, -1, -1, 847403075, -1, 887287603, 728611895, 661459087, 711193455, 869879359, 828429281, -1, 185475314, 539421654, 173276362, -1, 133413790, 819553952, 779420186, 714334664, 379755819, -1, -1, -1, 86235566, 478601525, -1, -1, 17352346, 915531144, -1, -1, 832434033, 781344060, -1, 144333908, -1, -1, 869240696, -1, -1, 545885242, -1, 307843445, 801344770, -1, 231465799, -1, 251082174, -1, 694066511, 871619556, 396783213, 301632421, 296419690, 843462608, -1, 137284311, 24269781, 946150774, 641436695, 904777782, 850479355, 257929908, 989501192, 213299805, 604661723, 646163511, 608941577, 509548724, -1, -1, 605705073, 470821467, 656347781, -1, 567342088, 217078574, 232433011, -1, -1, 224051717, -1, -1, 86439402, 656897930, 131789026, -1, 705341978, -1, 361074251, 396772574, 747620405, 953641567, 814204905, -1, 245013355, 699968085, 908004129, 269118487, -1, 694133036, 313670615, 685452232, -1, -1, -1, -1, 648246590, -1, 739138001, 112845293, -1, -1, -1, 697237907, 674456611, 231812777, 477741696, -1, 308298927, 132620568, -1, 663279205, -1, 986496790, -1, 369831584, 79452801, 509906505, -1, 670703999, 481668901, 537977153, 734037755, 387418656, 956738921, 500262859, 193705753, -1, 168898728, 201366806, 494778761, 793362863, 621146798, 444108168, -1, 608202711, 294365537, 518576606, 200781991, 347834707, -1, 444383586, 540898251, 39265802, 199253002, -1, 505559012, 854649933, 740920491, -1, 633270145, -1, 337083120, -1, -1, 903916214, -1, 715119746, 333461513, 661085239, 939524019, 129748914, 308554178, 939522344, 934863619, 750926560, 766195280, 98630306, -1, -1, 165591683, 421375438, 925462241, 578717906, -1, 36453791, 178034098, 28957510, 89315042, 934951612, 465950411, -1, -1, 280156685, 358369513, 148930651, 809566431, 822088382, 385174649, 101428737, 419060528, 911312347, 513679290, -1, 858938338, -1, 537196179, 650671385, 765674959, 394944803, -1, 211033218, 312984571, 396472216, -1, 734871118, -1, 981872271, 942844868, -1, -1, 578748165, -1, -1, -1, 12461406, 552413639, -1, -1, 339035368, 26128626, -1, 449336101, 452743061, 693517094, 226286977, 808197758, 456860375, 554001297, 694560423, 116554008, -1, 670951773, -1, 487153969, 98568561, 770746372, 219462231, -1, 677598755, 13576787, -1, 129271555, 792459238, 785513578, 898418014, 811323633, 831322484, 360925999, 148943151, 665624978, 289170900, 837384369, 815079378, 637577901, 825394818, -1, -1, 409941681, 698016861, 262578762, -1, 169520659, 940663813, 663969470, 632720294, -1, 33550343, 985922134, 971418239, -1, -1, 547494932, -1, 989243716, 940143726, 766179200, 614782883, 791967750, 782476721, -1, 219361320, 999535128, 273602302, 570854076, 949152912, 67680304, 259245561, 804612023, -1, 29909587, -1, 417424492, 418581425, -1, -1, 351256484, 168671302, 756366145, 120219566, 553963847, 623523437, 116438010, 235572390, -1, 865786483, 147747882, -1, 868251115, -1, 588109438, 608536097, 340941404, 789958368, 310794036, 786348261, 198774675, 890153609, 405418792, 891414454, 84979597, 136097823, -1, 592344825, 696784456, -1, -1, 734155188, 755510816, 665177460, 862332252, -1, -1, -1, 194246700, 767650210, 356570349, 584811325, 514150152, 441496082, -1, 675753693, 535729822, 640409916, 587641974, 448451528, -1, 374994788, 184468834, 301107786, 539226550, 413988168, -1, 179269065, 817500312, -1, 480776828, 715217689, 188871980, -1, -1, 727439151, 172126659, 830023987, 867900452, -1, 746746484, -1, -1, 943716468, 550226812, 488154696, 323679226, -1, 612490129, 635603690, 129884821, 934527711, 994654675, 966748644, 965851641, 601185357, 979874152, 266438336, 260952112, 170809138, -1, 946943702, -1, 409830176, -1, -1, 863425100, 589382790, 93952089, 414479099, -1, 902498520, -1, 400871859, 292896779, -1, 51703190, -1, 962223489, 497987704, 141196192, 6241655, 817072364, 142877378, 756324410, 810399536, -1, 968676178, 546527781, -1, 182442061, 304789812, 432194434, 2394529, 978228294, 979385179, -1, -1, 122174315, 90534318, 82087327, -1, 618654652, 350641550, 706609635, 574738722, 675025109, 205723387, -1, 316731514, 556417869, 490481907, 693330020, 906553334, 336621256, -1, 661421333, 585197305, -1, -1, 871991695, 880488060, -1, 395938164, 57963520, 504375213, 81549658, -1, 514861925, -1, -1, -1, -1, 5365760, 643991966, -1, -1, 26452212, -1, -1, 745259155, 187207826, 299526451, -1, 305690617, 338850571, 559062177, -1, 211911895, -1, -1, 465082003, -1, 99944615, 754952756, 478073214, 603017865, 461747316, 500319066, 320433196, 607062856, 286730880, 750162456, 307119723, 899652590, 155377894, 746025336, 890376033, 208734512, 951688166, 423372254, 233097967, 32700543, -1, 879422177, 911415408, -1, 261638768, 724865037, -1, -1, -1, 105939843, -1, 798562185, -1, -1, 92136924, 376561799, -1, 953110046, 118176665, -1, 431588863, 281338122, 158373073, 815876656, 152568387, -1, 200806471, 218450035, 888643062, 132240136, 683761963, 551073522, 93560110, -1, 355182347, -1, 3896084, 253578585, 252494775, 977613308, 808049145, 989492935, -1, 325972748, 490927456, 8713748, 355503901, -1, -1, 266618092, 273932783, -1, 197577118, 610572708, 944620767, 963098658, -1, 976522421, 444970568, -1, -1, 550557586, 365139751, 756433899, 707095938, -1, 603074611, -1, 186911580, -1, 403869482, 742437495, 733547210, -1, 617598814, 478985934, 581429014, -1, -1, 698635304, 133298877, 320571389, 974768664, 438100127, 912896881, 791428730, 885972370, -1, -1, 525777078, -1, 704489022, 10131480, 779625130, 308641450, 643268896, -1, 501921363, 746560034, -1, 682390133, 656407214, 660289090, 584318354, 143611829, -1, 122122236, -1, 10769827, 834554650, 108345914, -1, 817477308, 604104886, 863196802, -1, 141452282, 457006445, 778901275, 390286608, -1, 905526175, 260866077, -1, -1, 442178643, -1, 912468650, -1, 789016176, -1, -1, 307374782, 879515128, -1, 963657992, 189735129, 429440536, -1, 231575465, 626054003, -1, 949165813, 433758075, 930092055, 761299363, -1, 344754920, 706785783, -1, 236364055, 551640674, 563826427, 605460924, 151970460, 739175697, 626732546, -1, 298093947, 912709137, -1, 118102598, 844108231, -1, 269472612, 264677211, 116528731, 140913892, 422796102, 713861367, 700278341, 797596701, -1, -1, -1, -1, 137058068, 226984268, 437910711, 667273890, 254268659, 710036154, 453001050, 214041251, 292686882, -1, 388123158, 724991502, 89741072, 615683359, 276672262, 316521271, 648282553, 418705426, 716833945, 854365813, -1, 973323524, -1, 150874736, 834889274, -1, 900503324, 262552273, 219906933, 69198808, -1, 328368973, -1, 176325745, -1, 649935778, 525812851, -1, -1, 341704506, -1, 261666250, 889838595, -1, 731927059, 968728724, -1, 631645603, -1, -1, -1, 154835717, 143127238, 954264302, 634942306, -1, 235876935, -1, -1, 272303370, 147180552, -1, 65081453, 78692084, 328242100, 338274279, 251323661, -1, 498763821, 430584584, -1, -1, 82551685, -1, 255431394, -1, 877690677, -1, -1, 230152907, 185757747, 503328218, 759808430, 962011849, 969736013, 559615653, -1, 691533189, 718682861, 472344600, -1, -1, 62432967, -1, 782597735, 686822286, 874381561, 363639483, 898634892, -1, 967267534, -1, 444275792, 160103635, 618530878, 163005421, -1, 992411336, 731459233, -1, -1, -1, 226487245, 233748537, 180882465, 182664922, 663533536, 689100175, -1, -1, 751617207, 911062229, 86727084, 774763075, -1, -1, 213684287, 482293317, 581791387, 713828944, 409982731, 250816711, -1, 736421650, -1, 907616183, 861689435, -1, 9190587, -1, -1, -1, 402160858, -1, -1, 812068850, 199365684, 494177403, 600584083, -1, 825934595, 600395559, 658293517, 844488419, 833611495, 902144810, 260192980, 727797161, 82707339, -1, 848271912, 67804780, -1, 821960476, 204698489, 130898789, 399660450, 550428406, 229317835, -1, -1, 129851346, 29938517, 855086071, 405951632, -1, 887967595, -1, 531036034, 803773034, 635330676, 263442433, -1, 38702964, 269218547, -1, 662830048, 2447991, 944459724, 670510762, 171619844, -1, 776402952, 667348485, 573679498, 747022008, 258288469, 678671709, 62582903, 60246533, 221276174, 456761918, -1, -1, 566958029, -1, -1, -1, 795419459, -1, -1, 647754347, -1, 727385175, 831602995, 177060254, 908776535, 85459828, 767216417, 501594188, -1, 562484570, 217103744, 298009216, 119556788, -1, 702147945, 903261700, 870272961, 87184023, 176812206, 542624942, 173663131, 879067089, 888439205, 444982303, 720967576, 209668013, 613538463, 567136740, -1, 798996657, 356562084, -1, 581721032, -1, 874995813, 336210246, 552148696, 195630410, 248008757, 580030763, 564627851, 102243687, -1, 168663486, 592791095, -1, 754524660, 897495437, 915173528, -1, 841906980, 289022533, -1, -1, 325122728, -1, 39517759, -1, 509475143, 89902263, 946291191, 162485285, -1, 154648049, 718123576, 40851859, 222991205, 754797107, 814638920, 791836048, -1, 718529074, -1, -1, -1, -1, 671279786, 355333251, 234166888, 204451614, 975372961, 776508455, 750728789, 761834930, -1, 776223192, -1, 286775717, -1, -1, 218381756, 940540594, 918596740, 796923167, -1, 775507161, -1, 905516239, 695992720, 237761271, 138433910, 212890565, -1, 484136979, -1, -1, 126963294, 796703642, 403920499, 367105627, -1, 42220309, 863964574, 61007948, -1, 548558832, -1, 991207420, -1, 681408862, 588265477, -1, 40055666, 449116096, 393279420, 71147556, 860214558, 136458694, -1, 479507046, -1, -1, -1, 41763725, -1, -1, -1, 470555177, 270531288, 294037445, 775459491, -1, 167734122, 480078083, 343296007, 108742787, -1, 402686132, 159741837, 521487582, -1, 179053729, 447597991, -1, 408544370, 639140164, -1, -1, -1, 513069186, 561068481, -1, -1, 920939289, -1, 532999010, 259989012, 370610557, 149738729, 622910728, 863830111, -1, -1, 876707947, -1, 223215740, 838417199, 759936338, 990376914, -1, 457811870, -1, -1, 506544949, -1, 299462644, 119792544, 798110333, 243756691, 268043729, 865090075, 860558032, -1, -1, 699670776, 839876614, -1, 313506829, -1, 360211497, -1, 658819553, -1, 570832064, 471812512, 497467218, 630203516, 656909240, 973570500, -1, 616538289, 584896942, 842627836, 294425661, 698597453, 937595747, 949965959, 78455645, 323418984, 981847085, -1, 837060522, 697283998, -1, 72239774, -1, 532917207, 26959612, 79101557, 979198214, -1, -1, -1, 351311435, 789651370, 344061380, -1, -1, 864234604, 380413382, 312189452, 181993184, 84352344, -1, 561987965, 472004210, -1, 5021979, -1, 453859840, -1, 112847553, 994074927, 656379559, -1, -1, -1, 882418523, 928647561, 392133530, 53990290, -1, 712619449, 367085276, 72979478, 777209302, -1, 737812554, 900635721, 44339909, 98581110, 47881679, -1, 13217915, 726077559, -1, 896064143, 911282794, 96279474, 16634182, -1, 1415720, 501940803, -1, -1, 531336306, 830225318, -1, 406101420, 931503176, -1, 53583122, -1, 6114869, 493494088, 933179494, 705563462, -1, 33510086, 50335518, 747354755, 268082321, 42630970, -1, 174898741, 918819374, -1, -1, 562081770, 550102337, 800493323, 519223633, 861372649, 295699543, -1, 294636310, 310750262, -1, 66211296, -1, -1, 196010026, 465351273, 57789261, -1, 760975155, 751729857, 737453530, 241516465, -1, 865378941, 153615750, 909725158, 243763065, 435328777, 504106694, 472916116, 945230777, -1, 342009591, 820574994, -1, 283268564, 966775732, 348795152, 210708363, 246075671, 546318255, 649423569, -1, 862857891, -1, 214748795, 532226461, -1, 968735908, 579850387, -1, 758735689, -1, -1, -1, 126072148, 302186940, 760529697, -1, -1, 647169029, -1, -1, 495187680, 501757490, 384795785, 221593239, 454656695, 992229309, 269167619, 631713721, 705751960, -1, 710583798, -1, 860676054, 219701001, 690995723, 853700811, 531209733, 507202585, 335042972, 706223165, 295151039, -1, 844692295, 947411625, 527061441, 342960869, -1, 891907846, -1, 178778, 544977202, -1, 123695012, 384995359, 950172061, -1, 706919758, -1, -1, -1, 738555229, 105341124, 436256789, 539680751, -1, 854278365, 981051687, -1, 44755661, 160022542, 298350926, -1, 170734305, 295653284, 280183675, 687978892, -1, -1, 360770830, 269632956, 776547827, -1, 511591289, 41937988, 224094024, 385061053, 47039958, 541289668, 914366612, 723862001, 801280172, 307765510, -1, -1, -1, -1, 254508712, -1, -1, 576455008, -1, 140855770, 756956847, 910743440, -1, 196261591, 779205792, -1, 417196559, 710284626, 852186792, 826589408, -1, -1, 999573122, -1, 633912736, 966970545, -1, -1, -1, -1, -1, 493333924, 788784607, 185020953, 989546315, 649394193, -1, -1, -1, -1, 333849370, 40018691, 522315937, -1, -1, 760771472, -1, -1, 139381045, -1, 228860907, -1, 238592113, -1, -1, 551472859, -1, 538950504, -1, 635017184, -1, 768609143, -1, -1, -1, 327238218, 982051711, -1, 611996786, 77356381, 751927921, 358221965, 155286043, 901717238, 717312587, 193190462, -1, 198711439, 916923505, 6115603, 3930579, 702865929, 427471417, 540686474, 468195459, -1, -1, 369021604, -1, 695356823, -1, 89883352, -1, 229772890, -1, -1, -1, 653665677, 938757717, -1, 499313782, 466344611, 716251716, 799170595, 393195774, 676386777, 955061248, 672111858, 971434633, 197609987, -1, -1, -1, -1, -1, 959534509, 352612575, 340581182, 506736699, 682140839, 954739617, 313355427, -1, -1, 608838565, -1, 698035701, -1, 437997236, 613622226, 576530421, 249053328, 505488276, -1, -1, 266375279, 242280161, 228278318, 772541137, 402288794, -1, 428678350, -1, 266625409, 598461729, 8434143, 964406376, -1, -1, 355115240, 426937385, 25495510, -1, -1, 89289813, -1, 902663848, 768270153, -1, 359573780, -1, 571362064, 132999779, 872876914, 967296785, 271015404, -1, 44507376, 122979081, -1, 168517556, 95408400, 335478472, 665709592, 64568528, 432645270, -1, 693754021, -1, 220123508, 232127364, 780013729, 801827089, -1, 326713910, 53866406, 351793103, 984169299, 192708050, 218369148, -1, -1, -1, 490298017, -1, 909961570, 433318256, 715333795, 117674446, 759266763, 103164276, 572871404, -1, -1, 791761932, 664787007, 962759579, 676379808, 932729808, -1, -1, -1, 352560162, 664802875, -1, -1, 189513222, 75815587, 126262739, 589200389, 921744259, -1, -1, -1, 538445427, 175078032, 964827366, -1, -1, 611560287, -1, 315424503, 448346089, -1, 131896115, 34215663, 420336924, 506735320, 921804837, 949681039, 362863529, 291268402, 629226823, 490951853, 934195301, 217331596, 488652879, -1, -1, 511534507, 9550094, -1, -1, 207049485, 597374197, -1, 962547360, 378973907, 458856769, -1, 352669588, 158536090, 308196921, 23749714, 93879502, 77714460, -1, 524399202, -1, 234276152, -1, 55823784, -1, -1, -1, 606011069, 758454975, 822165114, 188622936, -1, 697626530, 582671849, 464964491, 123391134, 75371159, 423475999, 391083328, 539190293, 319120347, 735319125, 438940870, 687974763, 744861838, 700891501, 356352931, 966617588, 26109708, 914303612, 281393727, 181914018, 940836153, -1, 19366883, 746672756, -1, 497618009, 130500140, 400428995, 625057144, -1, 688079094, 559919535, 255754237, 397424213, 62414551, -1, -1, 620778270, -1, 958153262, -1, 169777103, -1, -1, 647875668, 238946860, 573418467, 929511995, 870586662, 219970641, -1, -1, -1, -1, 58536162, 818232969, 501509171, 949180274, -1, 129166508, 793013030, 539814792, -1, 737486073, 235129985, 971345510, 210214914, -1, 879077342, 701028036, -1, 912564012, 747086383, -1, 404168324, 572918641, 33828902, 895582311, 170763697, 127385307, 680795039, -1, 151834981, 71628272, -1, -1, -1, -1, 811802408, -1, 287625413, 615215028, 822262667, 942397741, 380156531, 378582596, -1, 72382100, 683294938, 805609867, 170541050, 905771294, -1, -1, -1, 159271118, 494918935, 392536397, 352790840, 655499393, 918858048, 893573398, -1, 448465371, 81361412, 879714445, 118756167, 428195891, 602188364, -1, -1, 303300102, -1, -1, 881247636, 26466679, 684440655, 63604415, 478932558, 629183348, 935065527, -1, 205261841, 659388983, -1, 895874642, 163347237, 618167213, 966570237, -1, 536676100, 881130726, 847040525, 665543593, 305159310, -1, -1, 620346924, 947155773, -1, -1, 905963745, 270977961, 588904335, 517898758, 685016661, 868227371, 532382456, -1, -1, 525808916, 455926976, 422061172, -1, 68297993, -1, 313516841, 557621053, 564635633, 952888890, 793004334, 791144353, 930562031, 357347499, 936148261, 455671317, 573168813, 104383978, 283776766, 838129341, 841012928, 399494496, -1, 783002798, 46680378, 960848709, 946518814, -1, 921176939, 627975961, -1, 70133462, 270298690, 558614323, 798682859, 5421942, 853197912, 953012593, 940239903, -1, 390914666, -1, 542700989, -1, 755944955, 639463093, 214879364, -1, -1, 852801106, 691942337, 624691999, 349399681, 808912473, -1, -1, 189138263, 368192778, 575628372, 444935311, -1, -1, 556176277, 777999217, -1, 912905406, 159496550, 725713815, -1, -1, -1, -1, 635391950, 70128150, -1, 845607335, -1, 862113437, 837230498, 434110837, 885878486, -1, 937483368, 964751063, -1, 367481529, -1, 734069264, -1, 551633204, 593596185, 225815611, 170175776, 936487608, -1, 60959824, -1, 41916609, 965920358, -1, 289212570, 81483847, 391325939, 130397865, -1, -1, -1, -1, 370607935, 777171625, 690506137, 122527307, 622670691, -1, 321929253, 628847928, 975329441, 219510289, 615593391, 49296670, 72166668, -1, -1, 43809371, 635124862, 132748539, -1, 583362565, 692725719, 915266629, 371524799, 95529478, 477758596, 159839069, 936567355, 40392502, 885887106, 408291470, 621356591, -1, 848023233, -1, -1, 784953033, 894758256, 323300067, -1, 461450831, -1, 212910178, 605474277, -1, 255155239, 649402231, 704275939, -1, 177616506, -1, -1, 792530595, 153482240, 925931694, 666406064, 332408059, 478724665, -1, 292915606, 258482491, 20378782, 565292476, 14875247, 829311099, 422337034, 362745798, -1, -1, 353958359, 36608956, 545503026, 675869711, -1, -1, 754236157, 71116182, 84430088, 365779312, -1, -1, 794636634, -1, -1, 872722585, 820962097, -1, 260801453, 751796124, 99719472, 340153478, 913829212, -1, 386577303, 39169700, 454977777, -1, 40324175, 833644772, 835708181, 688209006, -1, 490908652, -1, 415948610, 656089831, 228153483, -1, 157363238, 788908587, -1, 385321394, 438182319, 399448939, 428553720, -1, 303695234, 340539966, 88814377, 660966691, -1, 285017770, -1, -1, -1, -1, 59090553, 790503462, 337832949, -1, 672531022, -1, 311748514, 463007905, -1, 802968247, 293089837, -1, 445781509, 172984933, -1, 954155823, -1, -1, 901911909, 539452513, -1, -1, -1, 293170349, 805642436, 959133830, 443783255, 347092999, -1, -1, 690390264, 46344915, -1, 903425837, 725043652, 143579311, 703550129, 369796123, -1, 924687977, 871352691, 125750282, 663446187, 44977415, 412119310, -1, -1, 752358225, -1, 512128549, 31019556, -1, 695350114, -1, 331912225, 166521379, 140083924, -1, -1, 148151644, 570191366, 411939391, 501654447, 976171785, 932913743, 692322658, -1, -1, 484811847, 20580055, -1, -1, 455286414, 404022737, 744580696, 212980718, -1, 423322779, -1, 425056841, -1, 792891777, 710773105, 346034832, 560457973, -1, 860375972, 310220079, 577907311, 320173974, 828421852, 808998143, 904947413, -1, 279449237, 568276268, 970666914, 374254489, 95844357, 87662657, 490766444, -1, 260359014, 338267575, -1, -1, 544478310, -1, 401344618, 751190459, 919202212, 181492524, 711297872, -1, -1, 157978441, -1, 360543674, -1, 828269407, 104290139, 960056787, 706194311, 968943668, 891209845, 164425862, 618889082, 827701745, 593386602, 605266016, 68860790, -1, 56482860, -1, -1, 295510473, 782192547, 165922938, -1, 788502150, -1, 697104979, 115747276, -1, 385052760, 24052357, -1, 57972498, 641293014, 35192153, -1, -1, 510325057, -1, 578486296, 798623240, 979786591, 309548403, 356455092, 401733004, -1, 597716285, 396893435, 579820068, 166698607, -1, 478553296, 308070739, -1, 298333802, 524528378, 878840533, -1, 49027377, -1, -1, 522374927, 217174126, 695485529, 766085112, -1, 488328067, 736110913, 444384563, 771810178, 423504981, 477787542, 265267689, -1, -1, 769273791, 381974885, -1, 384543632, -1, 171634673, 204989117, -1, 464717366, 982469387, -1, 374183074, 226163791, 894387146, -1, 412476136, 884029919, -1, 82595632, 1419761, 352918008, 766060824, 125288665, 105926725, 747308504, 228372657, -1, 215314250, 103338297, 18140506, 932800348, 753761349, -1, -1, 408432881, 971906988, 878065974, 868283955, 643535012, 590838664, 591876425, 430155718, -1, 406846057, 55340733, 904597035, 472116625, 295484932, -1, 313510784, 39227593, 207583340, -1, -1, -1, 491598243, 451172976, 17227954, -1, -1, -1, -1, -1, 74225821, 143349397, 961710037, 115073365, -1, 287900058, 217795328, -1, 782688555, 970528356, 927008881, 987002637, 881837098, 874403584, 15760979, 85867160, 382484265, 242156571, 975032690, 282877128, 617886972, 311298037, 229471044, -1, 581715847, 674292359, 855590475, 357778391, 620927827, 952619266, 601924397, 401318079, 772302685, 494910589, -1, 209462031, -1, -1, -1, 803589303, 959021741, -1, -1, 32215950, -1, -1, -1, 424528955, 568243264, -1, -1, -1, 665504134, -1, -1, 643202638, 685398732, 803066504, 54674055, 321336098, 760636000, 746671270, 14382120, 532759634, 733931668, 155646717, 237790882, 90648173, 736294281, -1, 551323883, -1, -1, 565706957, 881698771, -1, 780856838, 318507371, 380972588, 709931203, -1, 955539126, 599715860, -1, 226916760, 893324045, 798166785, -1, 664980617, 328586180, 275128580, 744003666, -1, -1, 713571954, -1, -1, 140709105, 884402529, 573201463, 606364600, 262529089, -1, -1, 177123364, 454332992, 952042486, -1, 402737758, 690071679, -1, 986880535, 455782157, -1, -1, -1, -1, -1, 90870239, 515217820, -1, 935485273, 728905811, -1, -1, 804445561, -1, 506683519, 639965650, -1, 247436699, 579248704, 497365527, 804592916, 798682253, 849700880, -1, 305651828, 703007658, 661860400, 827261459, 38053893, 305742405, -1, -1, 251124943, -1, -1, 706411791, -1, -1, -1, 826510156, 513561147, 707405775, 788646155, 962039554, 669890491, 616061649, 832095418, -1, 577673741, 340386362, 721563965, 499445671, 250301103, -1, 561355483, 699167785, -1, -1, -1, 278822864, -1, 371193129, 694437542, -1, 879827345, 86912959, -1, 645734247, 124568481, 148973677, 641779420, -1, -1, 133472476, 513523189, -1, 995228771, -1, -1, 346672150, 610376652, -1, 4031110, 458424209, 326295261, 380847132, 493448295, 731576157, -1, 119834941, 387679391, -1, 293658052, 708988406, 741434456, 387636865, 46876670, 392248640, 815801430, 719980988, 769418673, -1, 553642209, 377583224, -1, -1, 674488819, -1, 921798602, 21273420, -1, 16035915, 767045850, 713704225, 217855244, 457688319, -1, 344727911, 918322654, 618380078, 193488834, -1, 579892962, 429646587, -1, -1, 98838121, -1, -1, -1, 567513554, 929755816, 368303612, 210584936, 180702552, 264600608, 127615770, 821553629, -1, -1, -1, 984843395, 628457910, 406271059, 990858456, 946776942, 920663843, -1, 515243291, 384694665, 790678706, 737181698, -1, 467812292, 767758333, 108117152, 619616609, -1, 894862678, -1, -1, 604568006, 483466959, 723983480, 608602671, 819739237, -1, 139829317, -1, 883228366, 632664964, 2866807, 561631054, -1, 119584938, 442762097, -1, -1, 221370860, 400788322, 380148316, 583053099, -1, 709795368, -1, 626144345, 506574475, -1, 755700588, 56017908, 738353117, -1, -1, 402399596, -1, 343887341, -1, 197167321, -1, 118743067, -1, 629947242, 532086841, 878343997, -1, 150319933, 951452814, -1, 187030293, 572461309, 944405954, -1, 707668981, 229234329, 798026506, -1, -1, 357576769, 226374478, 906724727, 443082088, 784519064, 832279748, 527064411, 880471957, 591584031, 396474040, -1, -1, 700425441, 975908624, 238729748, 652056934, 256974040, -1, 853722067, 50320869, -1, 38561165, -1, 29329375, 26208552, 847937494, 431420186, -1, -1, 285510905, 933353785, -1, 968972557, -1, 736259938, -1, 603795748, 603826633, 710000607, 436931265, -1, -1, 800597608, -1, 117974564, -1, 536543405, 13175037, -1, 908352141, -1, 674329327, 935137049, 258245378, 248072218, 903014671, 480985804, 353911824, 485473748, 526791631, 428275137, -1, -1, 401098457, -1, 739307050, -1, 903765445, -1, 228464169, -1, 665516778, 663290835, 772092651, -1, -1, 548533225, 921899298, 282265795, 259293968, -1, -1, 847444472, 476063272, 311878302, 964793500, 459138693, 545420298, -1, 526138493, 880975960, 407214999, -1, 801389050, 980221517, -1, 387916974, 444128861, 829057709, 921875681, 403969534, 577963166, 750275691, 953735633, -1, -1, 906433028, -1, 374970945, -1, -1, 540099062, 466967344, -1, 766018872, -1, 203868590, 711596290, 241623489, -1, -1, -1, 967587901, 425424658, 885140528, 614456591, 671993075, -1, 80385373, 517870409, 691136334, -1, -1, 357426788, -1, -1, 784891887, 4483329, 517017024, 634785035, 893949017, 952717883, 37777291, 957951226, 780667779, 606081786, 689790933, 316885861, 90729212, 51408359, -1, -1, 741444866, 19858937, 968771251, -1, -1, 502467566, 389359547, -1, 481042022, 881269216, 994592861, 962085193, 290517740, -1, 634059443, 114004421, -1, 324928003, 630615910, -1, 363685244, 504073733, 173719138, 315863714, 349032076, 816925681, 197835105, -1, -1, -1, 512993537, -1, 445585040, 365647162, -1, -1, 693639558, 54824779, 937937176, 450530108, -1, 902345653, 389118640, 548677312, 316260137, 885627456, -1, 468327338, -1, 385846294, 491688952, 738123441, 178737197, 468155533, 699029148, 127084283, -1, 579115012, 864390147, -1, 155519961, 719245457, 72411719, 635097445, 499115765, 166033195, -1, -1, 62444349, 104319514, 376523764, 252085527, 558589222, 793359874, -1, -1, 865197965, -1, -1, 312768232, 695024309, 157723276, 633177926, 918192056, 466934287, -1, 20761363, 816965384, 349793353, 981255067, -1, 584808445, 657437839, 197965210, 89345957, 892907549, 938433166, 301357165, 139228434, -1, -1, 70389260, 165802153, 173747083, 476215063, 658474038, -1, 172121710, 591520951, 624665372, 731207262, 516182569, 628797059, -1, 950020493, -1, 406171852, 876004946, -1, 479220878, 619754041, 37614811, 735470160, 73499272, 931141479, 328543485, 285959102, 589373285, 393406654, 676760108, -1, -1, -1, -1, -1, 625496459, 117357956, 242243972, -1, -1, 863416619, 920344041, 528622043, 911723719, 986752994, 754073240, 212471755, 85316013, 401244478, 152821698, -1, -1, 260737492, 427521800, -1, 42796682, 707216541, 357816992, 585334085, 328277525, 51796605, 224005305, 272518877, 343991310, 116889674, 412598969, 385668899, 766999884, 59390641, -1, 637155155, 654408230, -1, 945017420, 693363241, 681180047, 621782183, 649831374, 817232375, 171938888, 575995981, 471549196, -1, 22369149, 262388754, -1, 141007194, 837105182, 529664508, -1, 679132181, 613325317, 121741971, 280983037, 107720071, 284654022, 231666368, 496686806, 28205328, 912948390, 659823864, 333103456, -1, 87102108, -1, 137048457, 861106666, 898716611, -1, 864492390, -1, 321234883, 387385884, 69776271, -1, 661323068, 895058165, 542835836, 472278148, 878130841, -1, 743859250, 539532751, 643749360, 431520813, 132860330, 315654661, 831911797, -1, 80418504, -1, 503182016, -1, -1, -1, 395395763, -1, 611539802, 67481574, 998367270, 177081184, -1, 206364934, 740396183, -1, -1, -1, 233481382, -1, 261576227, 268513110, 847009874, 350767201, 517061380, 518512414, 665441236, 67265320, 751200261, -1, -1, 407782787, 882941360, -1, 514588091, 788626573, 278017224, -1, 46801880, 754986552, 158351349, -1, 583886855, 63040629, -1, -1, 869661293, -1, -1, 381667241, -1, 609807900, -1, 910933763, 752185094, 784627424, -1, 96775842, 524996683, 549831530, 778461350, -1, -1, 185956400, -1, 120590494, 134946769, 410399430, -1, -1, 946937760, 354930561, -1, -1, -1, 638049263, 444487966, 17759030, 784785445, -1, -1, -1, 397404948, -1, 544049940, -1, -1, -1, 530108114, 544811589, 260123265, 380597319, -1, 724733505, 518039173, -1, 933736647, -1, -1, 36156614, 161132787, 787406472, 926369793, 870255197, -1, -1, 373951810, -1, -1, 674730120, 292544102, 859146715, -1, 759785146, -1, 860364457, 115896768, 376711420, -1, 676720949, 646935140, -1, 310728431, 350663552, 962858656, 562382714, 526544176, -1, 141137425, -1, 442495519, 956711728, -1, 787336337, 470503522, 87672675, -1, 248574534, 93009991, 289763609, 701909316, 918957064, 780234982, 35065192, 818737377, 11633467, 483514182, 510601924, 25962037, 174808664, 63815773, 143224236, 304085051, 589221079, 835107652, 72499894, -1, 659936197, 491163331, -1, 31942793, -1, 203363686, 281006048, 559222631, 464579466, 191292113, -1, -1, 782138995, 887679524, 985252803, -1, 831246624, 808529418, 608089958, 993560204, 759432202, 735708213, -1, -1, 242173325, 946005440, 703494224, 476955750, 949071424, 476720047, -1, -1, -1, 812466860, -1, 930886155, -1, 280922476, 291769640, 151445284, 825598855, 244495802, -1, 497329424, -1, -1, 532468523, 946161725, 597791986, 787519448, 540634927, -1, 178450726, -1, 972140002, 134812397, -1, 227965140, -1, 888982041, 701978689, 122302268, -1, 661746269, 272243005, 837971286, 775450939, -1, 145889421, 442736816, -1, 421691625, 111539437, -1, -1, -1, 739818259, 790341746, 865432981, 596444097, 647990695, 799952170, 2634904, 90968139, -1, 335683855, -1, 400692999, 474941034, -1, 717394714, 120763391, -1, -1, -1, 455405924, 549061493, -1, 49018198, 742671774, -1, 521862759, 792268081, 494049002, 477743861, 126639116, -1, 199837302, 891274320, -1, 899109022, 83291099, 654942110, 550518248, 505935153, 400259929, 52561531, 982525694, 411044937, 468659041, 303667773, 695424271, -1, -1, 760607154, 448989497, -1, 292866672, 261269317, 496824596, 331922550, 21986165, -1, 378200594, 470979331, -1, 701693169, 417045829, 955045159, 622767734, 192042832, 6421337, -1, 496796682, 587247181, -1, 901841394, 718634498, 187527228, -1, -1, -1, -1, -1, 178712475, -1, 583643132, 849747346, 627148374, -1, 423713554, -1, 695656938, -1, 79205284, 840882197, 786434858, 255284431, 839948595, 497587811, 374713651, 783725184, 418604497, 815948452, -1, 465643444, 714519766, 339815300, -1, 259798539, 733385113, -1, 671192109, 597374413, 652810718, 796392440, 618826851, -1, 826918889, 493285665, 880944779, 365898725, 347035165, 189116719, 937647095, 617391872, 133142475, 472204689, 652755067, -1, 51536834, -1, -1, 715827111, 831179991, 366990792, -1, -1, -1, 273459559, 33875664, 841652414, 773297895, -1, -1, -1, 552322079, 589876231, 523345216, 955639869, 496741677, 222053059, 551517521, 752770056, 137384170, 418748961, 512098694, 3200413, 476744897, -1, 354171296, 647925763, 562076558, 504235622, -1, 290881141, 166179221, -1, -1, -1, 847084304, -1, -1, 325326801, 921468015, 268095085, -1, -1, 857199347, 659720405, 339653588, 56727746, 385752097, 696201196, 958974767, 389073129, -1, 259849926, -1, 909023396, -1, 956503932, -1, -1, -1, 111064128, -1, 654129970, 462637906, 70311643, -1, 66119926, 507852545, 166331450, -1, -1, 491072991, 120402200, 569731700, 894665915, -1, -1, -1, 802193133, 203353335, -1, -1, 359140793, 638065295, -1, 378882492, 152207546, -1, 803187178, 731175468, 510337076, -1, -1, 760842195, -1, 369192496, 337043643, 336130157, 218681871, 949465153, -1, 442072451, 481106428, -1, -1, 226239119, -1, -1, -1, 353234848, -1, 300590038, 112316201, 947467157, -1, 92283118, 902363411, 909504794, 577878172, -1, -1, -1, -1, 722247686, 91729611, 153569256, -1, 91599198, -1, 261731841, -1, 389420701, 603095927, -1, 63391114, -1, 522805611, -1, -1, -1, 954015691, 822314329, -1, 434479867, -1, 718912680, 626623365, -1, -1, -1, 227347978, -1, -1, 714381011, 730423341, 572330852, 389171296, 446707024, 592199520, 728413080, -1, -1, 649701237, 651683162, 557654235, 1782723, 129909207, 917805522, -1, -1, 551900862, -1, 753543128, 834811820, -1, 381078507, -1, 688322635, -1, 343584872, 620587546, 840471818, 137517305, -1, -1, -1, 640763486, -1, 153978784, 442280342, 534780019, 793223175, 206833205, 803126489, 604835269, 784043109, -1, -1, 711917477, -1, -1, 450387374, 801694956, 327668238, 667359306, 927342196, 645398274, -1, -1, 681090546, 242497657, 653289735, -1, -1, -1, 467013917, 683276977, 193637496, -1, 407886496, 211146961, -1, 364180392, 117436048, 673060305, 529252698, -1, -1, 543655700, -1, 204660801, 618811384, 427575762, 140658629, -1, 890999794, 740715009, 519009395, 891058078, -1, 299360495, -1, 785150410, 773259298, 433173368, -1, 440132059, 693894777, 297562255, -1, 606702833, -1, 226698003, -1, 345499953, 953505193, -1, 466646080, 742366738, 315851242, -1, -1, -1, 506946429, -1, 717970188, 514844335, 594794080, 424230350, -1, 736232440, -1, 560291819, 72424343, -1, 842402883, 298971270, 609481678, -1, 587815809, -1, 790493242, 444463858, 16785077, -1, 614888162, -1, 609287643, 373084434, 909181496, 802436833, 360770255, 359079180, 611525725, -1, 349665876, -1, 163095855, 952549503, 505764973, 945739181, -1, 913049034, 233965638, -1, -1, 977126170, 89048267, 299614496, 986711317, 929273326, -1, 106336417, 86635204, 627519938, 141406392, -1, 754324102, -1, 753399494, 239109218, 472069039, 255155896, 228283222, -1, 801081189, 172351651, -1, -1, -1, 522953636, 575062852, 945710552, -1, -1, -1, 229195512, 466721798, 856378044, 987354425, -1, 186277797, -1, 433106644, 387400057, 409595721, 494012756, 930663232, 533200187, -1, 825259093, -1, -1, 489529531, 35647130, 164053862, -1, 115903082, 344969028, 411460180, -1, 349213108, -1, 528858578, 141695035, 184690501, -1, 746434728, 2878424, 643300963, 123173510, -1, -1, 850687772, 748455441, 665322912, 349166013, 151866507, -1, -1, 506089172, -1, 646876447, -1, 778182184, 720534494, 585762687, 879802957, 790691197, -1, -1, -1, 976791684, 260333664, -1, 398949707, 532943707, -1, 547878541, -1, 351962205, 644042338, 758361816, 328103378, 541770229, -1, 687400469, 34930135, 694696663, 46470178, 712079996, 630272437, 571415404, 889874679, 749803285, 494487134, 810006200, 902320478, -1, 176094056, 359996482, 326992038, 865827471, -1, 257277285, -1, 394998325, 485947749, 324842844, -1, 488979872, -1, -1, 327556826, 392192962, 909485217, -1, 116963372, 388471101, -1, -1, -1, 500298949, -1, 757456597, 159311631, -1, -1, 855410258, -1, 682287332, 973606615, -1, 531159342, 97256549, 577984623, -1, 236185785, 803729119, 377475859, 465373961, -1, 562589767, 895755723, 874985476, 632946876, 95800338, -1, -1, -1, -1, -1, -1, 957289331, -1, 524474572, 704761143, 591713601, -1, 965669856, 140117002, 311202510, 304343938, 989739591, -1, 265102463, 661267861, 266768389, 716826837, 659233466, 356155057, 790409442, 13580890, -1, 704940156, 206886545, 125028326, 445728811, 190055065, 959242780, 604889354, 948783950, 926162988, -1, -1, -1, 60005855, 298551913, 12369046, 719536973, 248069469, 336531933, -1, 665592024, 870430645, 596235347, -1, -1, 247125585, -1, 681125352, -1, 419432303, 280304993, 657859127, 577857796, 72061220, 741821979, 928053127, 721338112, -1, -1, 174350016, 440998472, 531325402, 224795304, 519671426, 736504081, 353238499, -1, 964426211, -1, 85413270, 691620232, -1, 665132441, -1, 479946406, -1, -1, 212948251, -1, -1, 753023772, 527511674, -1, -1, -1, -1, -1, 158716274, 934157249, 20468915, -1, 191023397, 889035690, -1, 731316228, 824194895, 762984641, 82317058, 862577641, 515053719, -1, 785403891, 161235279, 840113753, 764103670, 226957029, 607963757, 830123422, 447450699, 75797303, -1, 522831355, 486537493, 78690293, 293301180, 7874846, 417561948, 178602405, 709611480, -1, 42388029, 437684435, 277010115, 154101251, 886325524, 715440653, 93075552, -1, -1, 542732685, -1, 545174021, 552391718, -1, 244030945, 785558790, -1, -1, 37853555, 976909639, -1, 767991069, 221168690, 479294406, 835045261, 134687146, -1, 538038721, 195277389, 630375973, -1, 686197079, -1, 611334675, 463425734, -1, 481655996, -1, -1, 650154004, 547011335, 953948327, 329600897, 475966533, -1, -1, 422868337, 598807113, 470672564, 445588231, 15078250, -1, 806234918, 462881214, 251926218, 200085569, 227437043, -1, -1, -1, 349570695, 465524148, 632266634, 274457104, -1, -1, -1, 430872403, 894071893, 806187585, -1, 864199489, 653926536, 561852551, 789156289, 334296910, 725799144, 746945111, -1, -1, -1, 383300457, 669089310, 540286661, 569424791, 650810423, 399102588, -1, 276362868, 385136131, -1, 584426189, 304411779, 598590656, 440577394, 263158600, -1, 635011510, 181892756, 377638249, 945718187, -1, 124287913, -1, 114207364, 625205007, 197552338, 175654862, 104862010, -1, -1, 452384883, 100566043, -1, 699975105, 142130064, -1, 132606201, 841399664, 714874907, 990394862, 714182000, 78715890, 736845829, 696484375, 726929792, 787683062, 637005161, 857475178, 156871533, 582495693, -1, -1, -1, 574217580, 691938343, -1, 855621634, 483994479, 296399030, 505540335, -1, 43377204, 917070462, 895039073, 645525420, -1, -1, 485430328, 764122018, 953589819, 964269367, -1, 331373414, 170319841, 220705412, 803775461, -1, -1, 793703862, -1, 709271850, -1, -1, -1, -1, 544388535, 745070970, 374858624, 669374946, -1, -1, 343143500, 389151537, -1, 416359388, 186770085, 244419082, 341942622, 572072233, 894626634, 966553749, 968727183, 578417153, -1, 8745446, 974211111, 976420233, -1, 431971819, 24964124, 404526205, -1, -1, -1, 390656353, 742475423, 999037680, 834612307, -1, 331473864, 262734336, 838542017, -1, 729338016, 98068481, -1, -1, -1, 491524794, 160019923, -1, -1, 815487703, 184626034, -1, 140786020, 987093081, 504548826, 399501889, 421287629, 213774633, 117919797, 118658462, -1, 883897396, -1, 559073586, 739537054, 897595615, -1, 612687845, 355151090, -1, 179751379, -1, 293892381, 345283184, -1, -1, 693972553, -1, -1, 923901862, -1, 78446065, 203554059, 678654656, 475475356, 529980405, -1, -1, 297032404, -1, 192513012, 501027316, 655635337, 834920419, -1, 637076763, 937134803, 167930133, -1, 853716281, -1, 90448590, 886606614, 312354494, 105638468, 649467782, 936849616, 516421884, 491737514, 301370333, -1, -1, -1, -1, -1, 304557671, 343631026, -1, 927998428, 178203531, 630513571, -1, 654320974, 421500042, 664302783, 856437916, 831675664, 844808134, 456173464, 860402036, 438853701, 191511109, 776349646, 237959579, 876294241, 797372862, 350795329, 886952122, 92588595, 33052007, 948927517, -1, -1, 919391924, 936073388, 846832990, -1, -1, 861809817, 994244994, 936381899, -1, 962111173, -1, 402624141, 907384991, 308718716, -1, 9886920, 564598904, 723194667, 362000233, 372638767, 531652533, 240801773, -1, 928494269, -1, -1, 268406864, -1, 773536602, 795798703, -1, 234974516, -1, 626235908, 920223906, 577519596, 545760936, 721145793, -1, 818254495, -1, 443518042, -1, -1, -1, 222219148, 30759707, 776170456, 914275121, 434052511, 101801159, 810168617, 424204920, -1, 522642407, -1, -1, 349168640, 933857381, -1, -1, 127918899, 42080126, -1, 192557497, 496083564, -1, -1, -1, -1, 30303244, 230316724, 84326747, 205432507, 550232441, 962055656, 250638634, 329342119, 438764466, 253442950, 51278549, -1, 282874206, -1, 772897095, 200697105, 186927981, 195057177, 748498243, 725591029, 486207383, -1, 921304466, -1, -1, 385883370, 640207990, 548779698, -1, 377772197, 827545646, -1, 980071134, -1, 176206624, 550405782, -1, 758468308, 633517791, 981930134, 259837345, 702008269, 201427989, 520893804, 253165605, 240506342, 687129182, -1, 382144766, 134818455, -1, 679687064, 158043291, 436083052, 366539979, 8890965, -1, -1, 676822951, 725427562, 560070315, -1, 674208145, 304134504, -1, 80128693, 21495734, 60369667, 30090685, 103839800, 572912, 879381011, -1, 997772947, -1, 206746882, 155845254, 726078515, 197273842, -1, -1, 891907112, 894099119, -1, -1, -1, 641403090, 448418338, 904967673, 502370333, 870204053, -1, 989796404, 249808332, -1, 626783578, 451341761, 772824386, 71731159, 241961383, -1, 433094373, 579473810, 194730556, 864496952, 758444371, 322773801, 270954745, 601068283, 533288697, 776930935, 487089386, 466993828, 1983702, 288070128, 931892173, 683676197, 844028337, 737684872, 865249836, 170179751, 378648156, 684684177, 496003643, 84911927, 946501264, 129309620, -1, 756282467, 52338791, -1, 376567150, 310626230, -1, 719200406, 375655466, -1, -1, 870978475, -1, 684776098, 353014486, 875754025, 636155318, 113199145, 157016655, 518705232, 422593211, -1, -1, 777542949, -1, 412375130, 471728860, 873532138, -1, 381727276, 794462129, 100339952, 76434080, 366061872, 252882604, 717098112, 683668367, 32193323, 120946059, -1, 781172934, 295831339, 107584357, 263801876, -1, -1, 575959269, 159339784, 196372831, 598705289, 513450371, -1, -1, -1, 68490587, 196935696, -1, 521182764, 310416253, 678203657, 324647710, 473629672, 494917433, 602174032, 855938200, 995943508, 550008358, 563396961, 349607986, -1, 684303288, 48640228, -1, 179348371, 957670386, 365489048, -1, 966779552, 943686451, 111755357, -1, 801027466, 537581380, -1, -1, 736872908, 736444317, 307530984, 933501248, 629828363, 835774686, 837997638, 669528089, 723712862, 478808348, -1, -1, 65589804, -1, 891697341, 783130354, 991106263, 549875759, 993141137, -1, 886733563, -1, 274000179, 205110977, 854570974, 173374407, 721129333, 775683118, -1, 462775368, 967325905, 20378296, 621243391, -1, -1, 544743206, 573673364, -1, 369039699, 137987208, 127742230, -1, 21602149, -1, -1, 323071564, -1, -1, 311928116, -1, 732700295, 800741117, 463720721, 250403924, 631044790, 350775677, -1, 140047568, 537865473, 698855291, 6786769, 405264064, 945770076, 745823732, 640401757, 943997250, 213290057, 45760695, -1, 628381506, 240335026, -1, -1, 190344903, 99610803, -1, 821437116, 16027399, 874438907, 982813379, 360592892, -1, 783916106, 585870308, -1, 27883502, 768454832, 508439144, 496347762, 623889785, 660449017, -1, 296113514, 822511564, 739295118, -1, -1, -1, -1, 633457230, -1, 882699986, 95247273, 29660723, 850353982, 144687101, 642548443, 82483636, -1, -1, 694452543, 215963856, 398186266, -1, 431610761, -1, -1, 155389991, 347211071, -1, -1, 935763941, -1, 202181609, -1, 291985659, -1, 946557824, 795308165, 856182533, -1, 115757835, 37538552, -1, 512548597, -1, 856391371, 346510645, -1, 901337441, 221627248, -1, 904801947, 11565980, 583958880, 210408151, 429768993, 4644075, 561438761, 227637585, 118346340, 309987948, 642136052, 240611734, 889168620, 509787767, 979813078, -1, 347633742, 898420816, 686691193, 920690391, 685099092, 189582109, 405027349, 609066990, 825622644, 367664593, 612397949, 107165872, 684051209, -1, 704675208, -1, -1, 343876843, -1, 515135693, -1, 949459240, -1, -1, -1, 462977958, 676157694, 756312121, 538436540, 13904870, 338136449, 768076207, -1, 499759479, -1, 231462215, -1, 738269811, 912602837, -1, 965626516, 385248081, 163705510, 604138864, -1, 642564601, 338941709, 607490849, 471176862, 262782597, 374001206, 584359262, -1, -1, 435617438, 366590031, -1, 270454115, 345722272, 131128210, 814580054, 398790999, 180162842, 111670295, 798682709, 834309709, 562539638, -1, -1, 264602065, -1, 519521533, -1, 71137340, 663663036, 146511698, 216879462, 110440006, 239596070, 547601496, -1, -1, 426346055, 114707976, 103878992, 863344915, 980545583, 358105258, 648278413, -1, 35801094, 912853132, -1, -1, 790673404, 904151319, 190373957, -1, 941299571, 844559097, -1, -1, -1, 768160123, 411908165, 573696028, 789255277, -1, 301230610, -1, 101930377, -1, 256796593, 377940319, 273575030, -1, 310783655, -1, 834093706, 17818854, 148122509, 481549673, 26673174, 280358131, 78042099, 698325473, -1, -1, -1, 202264636, 827312459, -1, 904313451, 588756065, 586182351, 298284937, 876126339, 351790280, 634742208, 312687173, -1, 577681310, 733148139, 277285725, 507299709, -1, 304516931, 604047680, -1, 561969286, 343896216, 404820684, 254788961, 792950688, 786908367, 900265575, 103100177, -1, 163980619, 694158548, -1, 255232589, 51058792, 246345729, 732491235, 273164081, 180065781, 124072590, -1, 541620809, -1, -1, 128190184, -1, -1, -1, -1, -1, -1, -1, 835727169, 254281161, 181871884, 372912232, 212694747, -1, 685749262, 505072617, -1, 594287935, 795812592, 326603251, 975853227, 193100707, 133981447, 597746248, 476066596, 530106815, 595219011, -1, 412714055, 727902731, 498817350, 800440905, 81986237, -1, 188258721, -1, -1, -1, 793472036, 852155190, 244763421, 877036879, 467880433, 24380499, -1, 388315544, -1, 667579797, -1, -1, 621790158, -1, 988238086, 142288484, -1, -1, 175177029, 249341834, 120818867, -1, 49875995, 228994428, 313577736, -1, 884192583, -1, 899502008, 65775506, -1, 277833095, 746691095, 414048211, 162450219, 151855888, 631159831, 434815846, 905103469, 529215300, 459478713, 504916348, -1, -1, -1, -1, 616324183, -1, -1, 151802165, -1, 985291911, -1, 484358315, 454116913, 797606078, 833638895, -1, -1, 379443963, 563897533, 921226699, 630490384, -1, -1, 391876690, 646503540, 375172830, 793132712, -1, 889828629, 225492963, 614177681, 757663178, 187261482, 918212642, 912362334, 670925711, 728701478, -1, -1, 384547358, 255151301, 962024982, 955316558, 147532472, -1, 665435264, 733780486, 489876798, 145222291, -1, -1, -1, -1, 113839338, 498939176, 569474998, 463500894, 414267770, -1, -1, 354844068, -1, 663676126, 981294466, 334397332, 609291164, 325234717, 586895368, 946938195, 377863033, 129480402, 329843640, -1, 358541767, 752060040, 896931831, 723147269, 443393012, -1, 275965884, 373204733, 528893344, 979710747, -1, 847153717, 885479060, 487933905, -1, 777120470, 260411430, -1, 498654339, 404041689, 831298541, 491256048, 761855193, 719980477, 582980266, -1, 180018881, 941425403, 562894912, -1, 823240411, -1, 231155139, 187338849, -1, 473858056, -1, -1, 823453534, 753618404, 513274332, 601599158, 15010816, 848280300, 275959468, 431771546, 887989442, 244623482, 906228618, -1, 92052805, -1, 532468499, 392666954, 600587729, 482563792, -1, -1, 229740842, -1, -1, 601685408, 715720158, -1, 233223772, 93991251, 173033015, 880726971, -1, 436587791, -1, 625387954, 73133662, -1, 998138374, 619135503, 634111108, 861467079, -1, 227418358, 346655047, 571485576, -1, -1, -1, -1, 763566305, -1, 584607111, 439496890, 412220503, -1, 476576815, -1, 119587213, 55739728, 647564807, 404462514, 889271426, 719903232, 516042249, 850290038, 128559338, 943121425, 45514871, -1, 171931399, 346535592, 261212540, 671955320, 253827168, 504307026, -1, -1, -1, 396960583, -1, 750450181, -1, 534214393, 513123160, 481547408, -1, 705576978, 356806489, 200631102, 138674144, -1, -1, 278601256, 694353422, -1, 793251343, 790037437, 989589153, -1, 368066728, -1, 7569645, -1, 310157463, -1, 935451098, -1, 766102243, -1, 859822056, 99495207, -1, -1, -1, 109230734, 865591894, 315648206, -1, 714314900, 447094750, 988894885, 624523302, 918697626, 441143431, 638268407, 110673725, 930304495, 556328165, 717562496, -1, 597288786, 85350999, 759362161, 28286943, -1, 748316675, -1, 644444479, 704680056, 909976811, 917489824, 655270023, -1, 93578954, 189668739, 441958166, 381588015, 15290861, 228029824, -1, -1, -1, 123776501, 15808316, 116884439, -1, 347189498, 303939084, 960519369, 520928011, 60952005, 881631869, 468647637, 962000140, 290630008, 119499981, 496107832, 351502180, 375321567, -1, 612549072, 359820692, 799376802, 205315855, 79774510, 752612681, -1, 78904219, -1, 806467633, -1, 841509106, 678713714, 981353897, 759778202, 650430665, 19760387, 25169800, 896267575, 827519487, -1, 342600883, -1, -1, 857510412, 35650033, 461897721, 31014508, 483020113, 672581882, 337136077, 790422857, 22481472, 495846580, 189296149, 839592577, -1, 1795352, -1, 564794230, 261507652, 982990172, 380536557, 244636130, -1, 106215830, 692301303, 116508965, 636222861, 572807080, 149111729, 569719661, 338412058, 321942394, -1, 131724566, -1, -1, -1, 787369326, -1, 808790793, 660187906, 859366774, -1, -1, -1, 523437232, 916338076, 469538007, 730393475, -1, 295960235, 780329878, 718742, -1, -1, 473174501, 887298005, -1, 201583297, -1, 573112351, 232797686, 922105080, 233310577, 70710262, 699877753, 198833354, -1, 864223715, 610856914, -1, -1, -1, 768806945, 423775693, 203223284, 357165293, -1, -1, -1, -1, 503363189, 784253515, 35010626, 324148115, -1, 42052969, -1, -1, -1, 520480124, 19401320, 954174060, 161611148, 265127719, 637548220, 313597022, 150590786, -1, 912737390, 440647587, -1, 208709243, 764186554, -1, 691739379, 890221800, -1, 440632743, 890838181, -1, 13977551, 901893405, -1, 427460026, -1, 141325526, -1, 304747584, 266458411, 423027317, 418589427, 858893199, 319283996, -1, 873444503, 266606179, 324974924, -1, 980675107, 935636923, 276595168, 325490750, 667957753, 645685658, 146486908, 780863035, 19521471, 207381200, -1, 563623807, 204543915, -1, 411988393, -1, 711611650, -1, 835968734, 211038816, 896953874, 546855547, 727977672, -1, 137746399, -1, -1, 1695185, 71213740, -1, 61980712, 731090823, 424498864, 36461368, 400165707, -1, 117576192, -1, 232022446, 554414986, -1, 468182538, 378470297, 191288384, 814088025, 488729515, 260927558, 318629499, -1, 568407411, 45242465, 750486488, 68012495, 41747982, -1, -1, 959210647, 192221768, -1, -1, 497319673, 143695902, -1, 778132019, -1, -1, -1, 360048758, 353594146, 440458175, -1, 660608184, -1, 895043155, 851058402, 38537574, 388425050, 13336368, 82705429, -1, 187158254, 507491931, 915076328, 397224528, 858599602, 460626470, 17703679, 839270787, 243201938, 745624571, 112449951, 48901976, 340104914, 779895629, -1, 546209630, 372174341, 237910037, 440290872, -1, -1, 651968963, 776119633, 104041710, -1, 677513397, 337177996, 594855523, 854758199, -1, 869382873, 636933699, 599024929, 30871448, 951088697, 298157098, 283253706, 422510820, 513609964, 491289011, 488678664, 717845079, 522669613, 239564692, 751851720, 893406796, 50448954, 651373175, 511978385, -1, 588086526, 967643347, 991785210, 41628395, 811269757, 112110108, 313734534, 123102146, 250927085, 89790003, -1, 524285581, 663794464, 844852143, 144974634, 218900192, -1, -1, 204169110, 842726938, 473219088, -1, 708380954, 666290719, -1, 451204658, -1, 223104860, 532416787, 547919115, -1, 298232015, 755951687, 191168375, 190360325, 307997790, 639380072, 664104989, 249996118, -1, 872038057, 112263646, -1, -1, -1, -1, 472705527, 238599899, 576151531, 238761352, -1, 265488252, 182254987, 515171789, 13242509, 226084384, 995608639, -1, -1, 788991943, -1, 500797227, 682622045, -1, 861088328, -1, 603438596, 252381010, 729670394, 127301820, 781467625, -1, -1, 524794024, 404193412, 695437361, -1, -1, -1, 40838246, 105406113, -1, -1, 258214184, 915540925, 520110219, 997894712, -1, 176799201, 280095810, -1, 458739428, 759200920, 271817710, -1, 179454525, -1, 532163047, 724245567, 560966351, 254603491, 362162945, -1, 343055980, -1, 328904253, -1, 874603339, -1, 211211695, -1, 669558492, 642552231, -1, 728884850, 450857204, 417358684, 87481304, 291805854, -1, 887410626, 395218933, -1, 147378590, 495414714, 403356942, 193249194, 666656208, 503989135, -1, 377253965, 259150603, 578205447, 585871631, 344905473, 873621838, -1, -1, 639256907, 683160005, 921282561, -1, 200529621, 540674808, 630947781, 370806318, 899230628, 982250492, -1, -1, 552543515, -1, 102711621, -1, 166873926, -1, -1, 160873081, 399660907, -1, -1, 861068597, -1, -1, 254083389, 160316606, 587722975, 683257616, 598815164, -1, -1, -1, 221856200, 712850983, 850642794, -1, -1, 918584637, -1, 93580523, -1, -1, 529704807, 265247286, 984274600, 726095829, -1, 660497401, 966091404, 444729017, 365367481, 901559346, 834401561, -1, -1, -1, 247554466, 52809804, -1, -1, -1, 704759590, 98712504, -1, -1, -1, 763869738, 235561982, 486598552, -1, 249569688, -1, 910039393, 197789404, 540548282, 477950920, 444255761, 871097711, 357966549, 984338358, 724677452, 366879872, -1, -1, 489565323, -1, 517613361, -1, -1, 288595785, 156861795, 999781093, 984909913, 984170955, 485947593, -1, 360999710, -1, -1, 377274576, -1, -1, 48143080, 624793326, 646483703, 966699571, 674857924, -1, 937372968, 74965396, 367617341, 290010716, -1, 48697363, -1, -1, -1, 203164419, -1, -1, -1, 954528084, -1, 128328417, -1, 62896282, 887327115, 459255209, 116068050, -1, 888486183, 593694480, 130011083, -1, 30577349, 202988121, 582553402, -1, 559851034, 190256353, 483605105, 533080270, 469992961, 920417313, 710840522, -1, 916031222, 697360667, 962764146, -1, 687491523, 509502135, 991968626, -1, -1, 659233585, 834674847, 917282254, 18142301, 347704535, 892407455, -1, 257204944, 571448586, -1, -1, 998324185, 35302953, -1, -1, -1, -1, 159643972, 449830318, 119190047, 871894324, 861002052, 34910836, 90366802, 11539348, 184070046, -1, -1, 261277275, 38522602, -1, 899046629, 656232092, -1, 349824251, 2575525, 677637207, 732628033, 974847345, -1, -1, -1, 447674586, -1, 122588256, 419281441, 88639939, 903589805, -1, 574774169, -1, 760502037, 897475452, 936847136, 38942069, -1, 152784074, 454954965, 694568446, 81877242, 930744372, 750556936, 671671935, 448603541, -1, 753254429, -1, 996291772, 276302480, -1, 835829478, 523829743, -1, 657583306, -1, 112782515, 465621961, 85791419, 248092380, 492798694, 543511830, 818007423, 457003130, -1, 745554177, 541513018, 696563585, 385557704, 560149300, -1, -1, -1, 256462538, 344579904, -1, 271970831, -1, 616024703, 401665004, 216330466, 561263491, 776567218, 943754519, 794037923, -1, 927204309, 389296578, -1, -1, -1, 553395181, 714137652, -1, 850374759, 799080985, -1, 543676147, 302402327, 571354860, 671016085, 216441061, 924005338, -1, 79658763, 646162753, -1, 128551808, -1, 408469212, -1, 821889213, 179399230, -1, 454070162, 878199783, 112678109, -1, -1, 976488551, 798742766, -1, 318552002, 606211232, -1, 802773380, 795447914, 230789560, -1, 862751285, 671830966, -1, -1, 539502714, -1, -1, 310639469, -1, -1, -1, 53349043, 594385523, 769825909, -1, -1, 164021429, -1, -1, 944629892, 328008233, 909955675, 896351135, 542862151, -1, -1, -1, 557549756, 275629781, 770425960, -1, 767281983, 154650757, 281366352, 774069841, 928200826, -1, 792788376, -1, 874634136, -1, 956864839, 30800504, 909007406, 851788264, -1, -1, 398873043, 379643782, 684648060, -1, -1, 319297676, 621991054, 294177110, 697968686, 705743450, 378223157, -1, 386228781, -1, 848755451, 777042692, 843460560, 381831043, 146825336, -1, 895323751, -1, 518440962, 361830661, -1, 722155572, 499036833, -1, 713937192, -1, 570704822, 260585846, 202560153, 663953927, 84109685, 711745352, 566621483, 854619062, 738456702, 498958893, 681610203, -1, 963935878, 51268742, -1, -1, 479674434, 263397553, 652272981, 619483134, 893862229, 819551408, 335326937, -1, -1, 293640193, 597476506, 727611032, 235137048, 717763547, 308386130, 979647598, -1, 867699302, 524852289, 174176354, -1, -1, 155464461, 410437602, 138073902, 695676124, -1, 537242490, -1, 812076683, 831190969, 766911331, 28657554, 742949158, 113873713, 710609651, 366007210, 749011593, -1, 441283483, 238401311, 763385204, -1, 875353409, 214753496, 227981940, 100638893, 974533131, -1, -1, 688635341, -1, 840949086, 95473545, -1, 991135387, 852616326, 102786721, 955502874, -1, -1, 341278929, 719470835, 327674256, 382541213, 277881618, 342879646, 402881939, 240778149, 15814260, -1, -1, -1, -1, -1, 575786644, 185850672, -1, 34740852, 233244352, 106318913, -1, 72501834, -1, 418685157, 354713845, -1, 406909380, -1, -1, 48362483, 616181640, -1, -1, 917798029, 525581204, 940973352, 131240773, 455326768, -1, 862348037, 985636872, 111211751, -1, -1, 702385889, -1, -1, 178677365, 117906348, -1, -1, 556221211, 495121810, 604657715, 112345447, 810590588, 281750997, 677913910, 499026340, 67776247, 951302050, 866246281, -1, 405012473, -1, 894664477, -1, 255587683, 284764929, 649279884, -1, 476697941, 468014117, 151527391, 468541837, 745656838, 809997493, 258098403, 57063396, 269313462, 461260068, -1, 764902286, 443623947, -1, -1, 646661602, 107550707, 110535679, -1, 251553486, -1, 170431747, 41033666, -1, 619307155, 523535558, -1, -1, 721491946, 504457036, -1, -1, 481918942, 55800704, 202337138, 433484233, 342019157, 222219338, 466089710, -1, -1, 971579429, 42777972, 454416956, -1, 843643305, 92923027, -1, 953027731, -1, 83067595, 69197060, 468170194, -1, 564559493, 892298596, -1, 149082264, 579452615, -1, -1, 157104096, -1, 484096202, 42012411, 772198784, 916919615, 581995822, 827788670, -1, 546195744, 756639981, 179579961, 454355511, 321302342, -1, 958877227, -1, 127816942, 817411238, -1, -1, 660098315, 547787524, 924938310, 578240485, 873708955, 356497942, 373299731, -1, -1, 503633290, -1, 240203871, -1, 839476048, 776308698, 54704220, -1, -1, 174387042, 305001033, 25101737, 240125234, 989318751, 112696620, -1, -1, 164085794, 357566163, -1, -1, -1, -1, 68548194, -1, 54441193, -1, 490712073, 400387624, 406736207, 942364868, -1, 922865895, 83187440, 639040480, -1, 126681175, 720226795, 856467969, 498110351, 299037281, -1, 153855350, 384299492, 238611385, -1, 295502199, 780020221, 736823752, -1, -1, 63228326, 924675417, 651006760, 716819504, 8834850, -1, 280434587, 851953396, 258784187, 416413810, 967777338, -1, 736987138, -1, -1, 722654610, 337728512, 187187644, 620019783, -1, 894771318, -1, 780860750, -1, -1, 678031238, 564100155, 764610479, 749820414, 30364695, 288963205, -1, 310957422, -1, 871075012, -1, 501450229, 516181491, -1, 26214838, 576340752, 844956216, 465378406, 560672937, 186871447, 212683072, -1, 710144192, 80416168, -1, 686408028, 287392643, 608300146, 823509192, 987170677, 169570750, 389244060, -1, 397506238, 717995591, 621223012, -1, 730979097, 879143862, 303619236, 908918259, 962735894, 38707192, 319339063, 394273358, 409955539, 916374817, 553003541, -1, 928485666, -1, 308379232, 926648069, 297133076, -1, 153116820, 188686786, 746631224, 238128619, -1, 158605228, 765320105, -1, 854166670, -1, 486015367, 426389786, 776468380, 280131594, 185843383, 271051172, 613092900, 777360878, 289605266, 274653550, -1, 136620133, 411139592, 24936502, 454224353, 581685740, 699512411, 933497510, 159018602, -1, 132467976, -1, 384565236, -1, -1, 903801609, 135671914, 446545905, 251997802, 772561474, -1, 132255029, 392227960, 414217586, 171370922, 593121460, 576098022, -1, -1, 25125959, 453599674, 495798339, 76194446, 380266361, 610103531, -1, 855550232, 4093346, 334104581, -1, -1, 594764393, -1, 473643051, 765589650, 229294543, -1, 893304367, -1, 922665900, 511414927, 568423109, 364125986, -1, 509933976, 700424302, 197129332, 918443261, 54608337, 34730834, -1, -1, 95654491, -1, 872826440, -1, 624146840, 166424798, 968507769, 527478633, -1, 964581152, 263299573, 315512962, 183130905, 638155637, -1, 974480486, 687410660, 346517740, -1, 853974390, 674045826, 998159594, 146033627, 958733439, 403187363, -1, 7852763, -1, 109856899, -1, 161188415, 101833977, 74525, 941566353, -1, 253881968, -1, 52429699, 499798874, -1, -1, -1, 346055067, 113985500, -1, 545107985, 300628618, 465115790, 914227125, 501445512, 829329084, -1, -1, -1, -1, -1, 144849980, 965729266, -1, 82244874, -1, 29297992, 612975148, 397896129, -1, 85928456, -1, 938738697, -1, 361370286, 121213901, 5847386, 421630716, -1, 534627046, -1, 792150328, 442614072, 8085386, 942709780, 982014999, 832775708, 824295790, 644576475, -1, 249769642, 203313089, 791010905, 405360114, -1, 312890082, -1, 170039423, 344366690, -1, 355349220, -1, -1, 936145700, 887884723, 981688367, 485878010, 47423646, 407036035, 477127953, 809919962, 796009511, 557373881, 613748552, -1, -1, 903808565, 288158125, 109606371, 518096527, 246024320, -1, -1, -1, -1, 38453016, 688428920, -1, -1, 987556461, -1, -1, -1, 551412342, 818911825, 712018636, -1, 693714006, 623019263, 358941705, -1, 211133672, 791227838, -1, 463917915, 199791194, 146176243, 131197145, 6861259, 122832599, 254233923, 837852140, 309042657, -1, 566308859, -1, -1, 372838943, 251978271, -1, 216942305, -1, 933372019, -1, 183932981, 772604737, 908342759, -1, 279802472, 926901703, 699952034, 44409914, 179711043, 880139216, -1, -1, 613230349, 292531557, 460937240, -1, 643796253, -1, 862742662, 550314511, 797440787, 511805899, 30546739, 31480473, -1, -1, 916965575, 645730183, -1, 775496041, -1, 545725449, 144242281, 56411079, -1, 397517529, 39429157, -1, 750738887, -1, 792580019, -1, 48776670, -1, 715730532, -1, 929164700, -1, 370462699, 577342309, 296709198, 798510130, 457438152, 935513798, 409349971, -1, -1, -1, 304406909, -1, 563830311, -1, 187909131, -1, 940267619, 761749883, 187858176, 562354762, -1, 146086714, 370652586, 733688497, 446247149, 254684054, 581892424, -1, -1, -1, 794180869, 475530499, 246224521, 598584321, -1, 54869157, 829252461, 913518874, -1, 766025983, -1, 866119716, -1, 791372519, -1, -1, -1, 450234661, -1, 7621939, 476495445, 574045111, 292820561, -1, 697840351, -1, 373922270, 510834418, -1, -1, -1, 76383209, -1, 218701087, -1, 226098674, 110585740, 261561463, 571087857, -1, 143966372, 240120430, 378631945, 454794554, 424457952, -1, 137366440, 316497467, 839132201, -1, 857553893, 993459066, 365516574, -1, 750929149, -1, 641532752, 660757970, 365989331, 879040578, 476141143, 450680786, 899707649, 185158409, 894300074, 96164274, 158478868, 619356754, 924041892, 311288235, 675033044, 758883925, 888534243, 923489417, -1, 452757200, -1, 702549027, 657356053, -1, -1, 440082436, 908737381, 327968846, -1, 646614947, 205384609, -1, 153302864, 264663871, 556147216, 580387575, 831244683, -1, -1, 556772586, -1, 660165229, -1, -1, 991070669, 666522182, 898967135, 672553430, -1, -1, -1, 78551881, -1, -1, -1, -1, 128356073, 62186164, -1, 533456218, 391443005, 787655743, 185075192, 103344069, 894511173, -1, 721371381, 963700762, 593904040, 948883080, -1, 897807851, 47270914, 558834576, -1, 454928900, 801818862, 35547395, -1, 184963684, -1, 618272794, 2994905, 161145546, -1, -1, 116955914, 482130443, -1, 903590827, -1, 879371146, 444589646, 417914335, 847668942, 107121536, -1, 152172490, 935893516, -1, 625611190, 261209238, -1, 234739957, 67327774, -1, 209067203, 135763795, 403170616, 927976463, 320678611, 223000181, -1, -1, 79790514, 645868783, -1, 939068863, 276221474, 461486922, 757860356, 342948871, 888336809, 935282578, 812298068, -1, 362872453, 87864130, 96388786, -1, 653623962, 943237608, 758440324, 140705894, -1, 81443611, 263730183, 828828774, 771949856, 524803302, -1, 669195400, 428621073, 457871758, -1, 61046611, 165140018, -1, -1, 150142914, 985657813, 34023096, 330456013, 757715459, -1, 893434222, 906236695, 717617823, 595139627, 334309999, 360939174, 910674191, -1, 212070437, 120059977, 284773843, 93801877, 174490535, 795968692, -1, 44056181, 949858695, -1, 899901477, 9993021, 768673865, -1, -1, -1, 598467329, -1, -1, 152575612, 35295722, 114704105, -1, 388420360, 370666849, 183536734, 962739458, -1, 453280964, -1, 795959716, 866047869, 418477947, -1, 301487716, -1, 183808565, 515130004, 382335562, 966571689, 939428528, 976492612, 700249833, 842508514, 557249610, 631842681, -1, -1, 908793040, 265781288, 595443051, 620809660, 65395838, 873305803, -1, 33676826, 830522582, 791472874, -1, 804755594, 916260063, 781942848, 659054597, 355970217, -1, 932965731, -1, -1, -1, 614874656, 964360060, 551385241, 544878316, -1, 253475166, -1, -1, 326203679, -1, 233562809, -1, 285295950, 728495291, 98958512, 904952833, 442849652, -1, 356846216, 677254284, 43240550, 28558821, 588333562, 383428812, -1, 684796413, 140416847, 18488075, 347864614, 942008390, -1, 898494784, -1, -1, 313770110, 171623376, 466353891, -1, -1, 284350003, 324336192, -1, -1, 406918424, 721179808, 909645994, 221730991, 201343223, -1, 83076909, -1, 274230394, 450057143, 122030960, -1, 969635116, -1, 658915669, -1, 554409313, -1, -1, -1, 209859117, 360121029, -1, 827741093, -1, 543354716, 419837520, 858349767, -1, -1, 229332298, 13828963, -1, 819993976, 892674800, -1, -1, -1, 318519695, 728634678, 424452987, 701131298, -1, 547651737, 404991298, 336234361, 212198706, 566627917, 244601954, 784216327, -1, -1, -1, 458930931, -1, 365987581, 711763391, 930970607, 905893299, -1, -1, -1, 655183541, -1, 194939546, 702525517, 214579347, 513279993, -1, 267840130, 973700785, 456685636, -1, 71729470, 829620837, -1, -1, 951868889, -1, 990834199, -1, 10928431, -1, 525249085, 151047293, -1, 818191476, -1, -1, 854731625, 481462743, 741979543, 680345572, -1, -1, 269194904, 687780004, 895491207, 454360985, 609362456, 867826088, 272046177, 438772504, -1, 888528713, -1, 673874025, 528137693, -1, 899089268, -1, 898164179, 451162857, 863234990, 480965684, 861031143, 962023601, 627800254, 783730984, -1, 35021752, -1, 47357012, 900435683, 499594208, -1, -1, 178089106, -1, 388773542, 286327867, 84733935, 53081551, 820581052, 520040959, 921050807, 503488303, 614876752, -1, 185047067, -1, 792052991, 667559971, 274431828, -1, 933541412, -1, 403010084, 244973264, 943694862, 243163345, -1, 819733977, 367048680, -1, 618976886, 414006536, 962261936, 971082624, -1, -1, -1, 935565305, -1, -1, -1, 181525852, -1, 947273261, 742325648, 610009147, 316497004, -1, 34006794, -1, 710271806, 97612472, 398199557, 586658040, 300987805, 889836314, -1, -1, -1, 686326113, 875461330, 263021139, 606555624, 516777755, 126419482, 99864539, 922659674, 412915984, -1, 729212506, 939975539, 101494703, 110551476, 335365357, 232720344, 810827658, 450764221, 325678664, 402664615, 228144073, -1, 585663013, 348848193, -1, 932034975, 850893157, 872361230, 662027554, 913817878, 510114317, 88416855, 471235084, 558662077, 140744999, 220260512, 366583004, -1, 391486397, -1, -1, 353364394, -1, 458069582, -1, 521351973, 362507719, -1, 477432609, -1, -1, 882734049, 307968838, -1, 868611143, 853910387, 725056034, 214193480, 934143416, 199460824, -1, 961752157, -1, 78086689, 567982510, 668564030, -1, -1, -1, 284793529, -1, 522717504, 459768489, 770043413, 579758348, 810183181, 86446489, 734631406, 542401247, 666696983, -1, -1, 804948207, -1, 930939922, 300682653, 860422079, 278405506, 283491502, -1, 408810552, -1, 22295945, -1, 108149468, 950784179, -1, -1, -1, 866177258, 824129479, 326279006, 730454293, -1, 247299168, -1, 445652580, 189020269, 214993153, 655493598, -1, -1, 888712577, -1, -1, 992727186, 794396006, 612611968, 367162797, 208772475, 278468212, 653258828, 860332045, -1, 890260928, 907955201, 821639828, -1, 801666270, 917935254, 833436505, -1, 311843774, -1, -1, 571199292, -1, 849684176, -1, 125336901, 249327578, 974352299, 500932355, 182306518, 813798251, 456619489, -1, -1, -1, 365532533, 716244044, 205064243, 4350464, -1, 282884779, 908737266, -1, -1, -1, -1, 149126681, 142043684, 480162948, -1, 798324230, -1, 362241721, 20089937, 462262030, -1, 622245003, -1, 933451713, 184308384, 814078501, -1, 495671993, 456856426, -1, 252061041, 987196973, 802732689, 193820495, 709918116, 920925130, -1, 822369901, 904976459, 646376181, -1, 568557490, 447582373, -1, 661307273, 863254481, -1, 241997336, -1, 911883306, 125769191, -1, -1, -1, -1, 665617992, 332551070, -1, 971735081, -1, 249699296, 517036152, 302114882, 579532723, -1, 124309923, 39320077, 234495338, 406749803, 879009773, 283365508, 385228090, 327873715, 376754324, 413779638, 793011768, 954757435, 27039156, 905119916, 397783583, -1, -1, 92037673, 565006326, 848887311, 562527484, 307440265, 691030581, 73395703, 729473197, 642212010, -1, 389364072, 675282797, 590875127, -1, -1, -1, -1, 659962708, 851680044, 30014828, -1, 792319570, 917919811, 870391083, 230471499, 851972322, 238648539, 645545148, 599647828, 90425063, 528577648, 539573770, 584637127, -1, -1, 740240289, 481936737, 986383655, -1, 988598795, 143104285, 138097272, 479327576, -1, 203112344, 768000036, 731748940, -1, 986092811, 420667175, -1, 61792057, 312720982, -1, -1, -1, 210520990, -1, 499751531, 737844480, 729302825, 393982312, 596200119, -1, 396157081, 720852163, 65264993, 847183403, 275158489, 370876079, 978976204, 169768519, 946868032, 467151320, 441885072, 465874704, 478916677, 74534422, 844452962, 79397104, -1, 326962029, 193641523, 260632971, -1, 429830458, 139986423, 569312034, 667899268, 217972697, -1, 984329054, 224728582, 526261110, 898483845, 16258229, 268095135, -1, -1, 985241260, 363127008, 384347075, 430847504, -1, 111162718, 617707578, 656346560, 48808603, -1, 212335430, 336574442, -1, 465393511, -1, 234617803, 340408141, 55460291, -1, -1, 161204620, -1, 665824231, 858325890, -1, -1, 115876309, 506960118, -1, -1, 391443836, 450902652, -1, 882071084, 182945681, -1, -1, -1, 428868892, 547753738, 97564537, -1, -1, 875268576, -1, 397654064, 99928801, 721504871, -1, 266258608, 149896668, 44246537, 102517032, -1, 263678473, -1, 510451433, 767814901, 598610548, 866452044, 814238040, 849178906, 1370356, 189652049, 750503379, 149693099, 299275906, -1, 975477144, 22386403, 702171508, -1, -1, 503382765, 586244249, -1, -1, 687400449, -1, 54837206, 847823168, -1, -1, 47772189, 286050805, 708291380, -1, 29401428, 358899144, 792672804, -1, -1, -1, 122739651, 275628192, -1, 133471963, 394829351, 987914632, 393935581, -1, 884999042, -1, 656282157, -1, 96682605, 308785268, 555760521, -1, 433329775, -1, 618175426, 322589061, -1, 793158874, -1, -1, 484736146, 424188409, -1, 319466504, 26504135, 777822364, 277125755, -1, 443140352, -1, -1, 957042387, -1, 69199061, 377839850, 172040508, 902863225, -1, 189907913, -1, -1, 91110012, -1, 446956112, 667926713, 677336891, 124022621, 271629150, -1, 158442278, 912116277, -1, 211320803, -1, 617346856, 909780373, 423150061, 989790302, 238862011, -1, 850295310, 746207487, 25841795, -1, 877384288, -1, 568997564, 773699549, 471412301, 638816867, -1, 593187193, 291007649, 462755977, 27720395, 87077980, 844570305, 950959492, 362269933, -1, 554600364, -1, 658682306, 878441907, 242847155, 657726004, 524468718, 231157859, 442249673, 525712928, 130172030, 438258290, 685917871, 726807701, 245449467, 421623290, 913925822, -1, 39463108, 652853651, 589466850, 72395374, 977474038, 900057224, -1, 296469771, 652655003, 581824550, -1, -1, 653110117, -1, -1, 409414960, 763089362, 628039030, 31235490, 774852061, 229611527, -1, 237694293, -1, -1, 772645166, 972315992, 745873278, 852220773, 675768037, 604123060, 191965453, 811532969, 84425417, 793244875, 578040569, -1, 312379441, 150298435, 616308271, -1, -1, -1, 773368125, -1, 837747064, 77268406, 648972887, 859260082, -1, 526215978, 492924615, 373206417, 275964981, 337372862, 524061897, 837659098, 920250697, 420964273, 381035330, 131858269, -1, -1, -1, -1, 924920198, 715360884, -1, 100810199, 322675032, -1, 562757010, -1, 800884387, 306010993, 495380762, -1, -1, 902256039, 590122516, 426469533, -1, 808202669, 750141163, 349724411, -1, 2207798, -1, -1, 112134512, -1, 628407085, 751419895, -1, -1, -1, 784699766, 721071222, 332039918, 729116935, 60324052, 517788021, 658015979, 730751987, 438407894, 590952111, 168447001, 32581645, 104676597, -1, 249693484, -1, 588506452, -1, 258723063, -1, 963317687, -1, 974368451, -1, -1, -1, -1, 757530344, -1, -1, 167695399, -1, 27466276, 156356659, 949308552, 351750673, 37256873, 8697195, 822196936, 76614764, 222291535, 868936013, -1, 740161186, 242433283, 687356333, 271188215, 895402732, 787625919, -1, 727111155, 468615716, 469800418, -1, -1, -1, 903100284, -1, -1, -1, 460577113, 644109251, -1, -1, 728687383, -1, 783415751, 271147254, -1, 271115426, -1, 523486821, 123570201, -1, 428542271, 440388596, 742840789, 84638420, 926512866, -1, 205472292, 174076679, 37474833, 439345776, 583757564, -1, 43911580, 715912506, 53479501, 886851339, -1, 352555584, 239000350, -1, -1, 885789035, -1, -1, 675648997, 290440657, 907886756, 540272163, -1, 426946546, 111376105, 692386540, 574506696, 948498363, -1, 309048897, 19445269, 615235036, 134887119, 486484923, 378901341, -1, -1, 169325116, -1, 11457230, 645499910, 539415844, -1, -1, -1, -1, 388299946, 73032288, 301375254, 828903948, -1, -1, -1, -1, -1, 449242243, 482068467, -1, 610108974, -1, 841431928, 870357313, 629420445, -1, 79769328, 828118271, 414697291, -1, -1, 766705659, -1, 386754158, 37214716, 601636007, 937333913, 145253709, 744964050, 409419705, 914934925, 166996819, -1, -1, 195590384, -1, -1, 54596814, -1, 935049655, -1, 38297689, 47331465, -1, 380328497, -1, 289393221, 823377273, 352982982, 102654458, 408839676, 873355326, 866116751, 59335573, -1, 443155158, 297011155, -1, 555767274, 789277079, 631994410, -1, -1, -1, 923154199, 534063834, 801553246, -1, 245445619, 14562228, -1, 379172072, 55279684, 622908451, 363058247, -1, -1, 788265981, 719859380, 71893094, -1, 612220615, 861122704, 752413459, -1, -1, 595858870, 86780527, -1, 390029847, 506075742, -1, 525977959, 37423710, 343387007, -1, 774640508, -1, 506866484, 219546497, 432639634, 444984313, 996222953, 928242438, 325242155, 54282066, 573700626, -1, 892815168, 517321283, 459705568, 939184375, 580717385, 888624040, 940814051, -1, -1, 240873061, 157135473, 649003946, 585482404, -1, 38700646, 991692768, -1, -1, -1, 777900418, 42338438, 877562960, 359752754, 81063522, 876924806, 204808761, 178847383, 177872011, 973774756, 752316300, 989739997, -1, -1, 474531671, 594363359, 133807097, 625139071, 834817988, -1, 310787534, 741623766, 408605531, -1, 546853594, 155342530, 883826251, 138128581, 626816036, -1, 713993607, -1, 811527819, -1, 284322212, 178048029, 951130143, 915909713, -1, 32123105, 831367633, -1, 844188513, -1, -1, 582189456, 153401050, 291026641, -1, 45441863, 989351232, 411613833, 954324932, 348602503, 721764060, 921405744, 517476733, 35514625, -1, 434308515, 516988590, 236341553, 437923507, 425715959, 860185907, 739005327, 821392113, 150883872, -1, -1, -1, -1, 197421541, 532005809, -1, 160642105, 851886692, -1, 574831766, -1, 942454344, -1, 13153399, 596506064, 75180468, 593644518, 501579723, 529690907, 475494877, 221918053, 331842445, -1, 914753962, 383716049, 813199191, -1, 338901310, 196658161, 878868004, 844295912, 924297014, 885188252, 453541727, -1, 268127613, -1, 350115841, 887851836, 494880954, 342613184, 343587184, -1, 41295236, -1, 915132660, 774984027, -1, 155219212, -1, 427792018, 801334149, 622680974, 978994713, 229317479, 409131358, 612531152, 152987047, 209440718, -1, -1, 188110023, 965969210, 294776670, 608874918, 417516852, 471036206, 849910629, -1, -1, -1, 954465114, -1, 754111033, -1, 832353194, 977664216, 1076655, 164609105, -1, 517883165, 394869474, 395378503, -1, -1, -1, 890127467, 180214880, 406897719, 584956757, 103298044, 163402304, -1, -1, -1, -1, 622695498, 195266082, -1, 924543659, -1, 162678578, -1, 617435547, -1, 774350247, 651955092, 333975853, 40398123, 467917577, 330791071, 735480746, 10460842, 972684260, -1, 142937527, 316622982, 303989000, 205067784, 148520165, 26728329, 875938943, -1, 675730947, 395196068, 984876629, 663928051, 737459952, -1, 348131961, 84909051, 535462450, 581237356, -1, -1, 183490800, 111315346, -1, 935915168, -1, 686105526, 160007209, 233378567, -1, -1, 157960751, -1, 454629550, 69819857, -1, -1, 957325671, 825947451, -1, 165958697, -1, 218731828, -1, 141856793, -1, -1, 983698409, -1, -1, 377504092, 83727294, 466332194, -1, -1, -1, 440716797, -1, 318454057, 43447001, -1, 107806370, 508865843, 572728748, 960564880, -1, 248351166, 109571187, 801037173, -1, 882457439, 931395880, -1, 4836039, -1, 509256740, 685685438, 827478208, -1, 89777544, 940746089, -1, 775875672, 62308195, 787900586, 960653837, 345669289, -1, 522042706, 898515491, -1, 843135002, -1, 338603434, 523684997, 101141935, -1, -1, -1, -1, -1, 231795962, -1, -1, 655701430, 756199619, -1, 30604585, 308661431, -1, 676847193, 416701347, -1, 876308192, 383712718, -1, 303397058, 967045131, 860823011, -1, 998442005, 292223943, 412773998, -1, 33959035, 117708257, 781420909, 904395468, -1, -1, -1, 967388805, 951918223, 584171305, 245958935, -1, 461878531, -1, -1, 429456282, 983084265, 141434038, 836392864, 521225582, 201164500, 353639657, -1, -1, 704862204, -1, 726302681, 67337483, -1, 347836703, 746590008, 950709939, 125827188, 46407991, 54424838, -1, 852770416, 929295356, 696720773, 388226124, 599876674, 613531882, 957747425, 633098527, 599278534, 516125920, -1, -1, 699905150, 870210041, 867148137, 849587572, 179521166, -1, 819760823, -1, 687887974, 151083853, 802574230, 287282022, 440647064, 229861535, 167899849, -1, 10114058, 80299687, -1, 901388469, 777208147, -1, -1, -1, 674602739, -1, 531056502, -1, -1, 731313989, 846429441, 971446775, 344089835, 38232531, 572001253, 405000445, 900322579, 117440321, -1, 553092823, -1, -1, 380313257, 652136114, -1, -1, -1, -1, -1, 64757228, 10815135, -1, 362057911, -1, 970242482, 383472103, -1, -1, 441649829, 644374927, 741277061, -1, -1, -1, 944903355, 696855485, 429153313, -1, -1, 520892500, 311051984, 370715919, -1, 410739399, 453689252, 197310797, 64955140, 516543389, -1, 752422172, 584424926, 357036124, -1, -1, 550758710, -1, 291383402, 816401856, -1, 447084353, -1, -1, 410250603, 785601335, 81730202, 186629723, 606064429, 528321749, 377723179, -1, 407293918, 826902264, -1, -1, -1, 239060642, -1, 129673544, 832575194, -1, 82769560, 417179906, -1, 795091046, -1, 144974904, 844915704, -1, 314396739, 455152217, -1, 439747557, 112261058, 749231938, 242612786, 956375211, -1, 697628480, 48642742, -1, -1, -1, 277001578, 640062724, 396793848, 647520301, 758171479, 570300877, 844717951, 900923823, 560199215, 407525446, 253405058, -1, -1, -1, 740548676, -1, 407496348, 794473190, 355069154, 35937936, 795769645, 974576755, -1, -1, 231976592, 676652531, 29327352, 52581308, 304533889, -1, 390548427, 248897130, 642041294, 740823007, -1, 280801752, -1, -1, -1, 303062799, 736788210, 161495387, 803161916, 589149519, -1, -1, 428847507, -1, 787204380, -1, 443371805, 205774996, 828769645, 553287818, -1, 257761659, -1, 357261844, 185103745, -1, -1, 74397631, -1, 498949041, -1, 331741160, -1, 591126975, 681072474, -1, 220413166, 88885050, -1, 568429197, 37654239, 374354361, 373295652, 41634720, 749686448, 980375321, 624217370, -1, 468026284, -1, 455499995, 625806533, -1, 950061275, 597958902, -1, 200928444, 202314924, 479677053, 84264290, -1, 253361559, 151314995, -1, 347287091, 525679539, 834248312, -1, 717835191, 23219952, 683386012, 593031437, 538750360, -1, -1, 654999414, 157801673, 725489765, 620565834, -1, 910922821, 331608630, -1, 870328237, 178955727, 788338212, -1, -1, 218349642, 614686067, 613918606, 458103666, -1, -1, 565289868, 436729517, 355420847, 959718409, -1, 414854136, 390794337, 430825885, 160658, 616510357, -1, 511846161, 140099878, 410272522, 218449623, 520027572, 886707213, 713921052, 23244216, 571733838, 646494032, 260881867, -1, 394849197, 964705139, 46424228, 816859916, 801584744, 525578520, 245007841, 269650177, 422978084, 8020595, 339484599, 959545944, 478818381, -1, 837171645, 17705430, 546424264, -1, 442616681, 872429888, -1, -1, 22299515, 574891728, 424099701, 901090466, -1, 121993872, 645383410, -1, 861339441, -1, -1, 49086123, 113768303, 968048332, -1, 132926373, 142025141, 132250157, 961224394, -1, 824785822, 814369710, 780803365, 739860910, 454332231, 671498494, 153092620, 548425969, -1, 470868579, -1, 46031068, -1, -1, 865609126, 920724966, 781867953, 671208006, 45440021, -1, 208075271, 204901344, 486805707, 501206966, 125219484, -1, 349567859, 613798846, -1, -1, 323842954, 476310834, 798570892, 725959483, -1, 977350377, 108729270, -1, 478537823, 86607394, -1, 911185680, 869547211, 962485635, 148154531, 146257126, 945168882, 829130551, -1, 346343548, 945171098, -1, -1, -1, 896723696, 607258343, -1, 7220789, 922461975, 624512917, 118488781, -1, 156293866, 580671981, 84560207, 380498713, -1, -1, 727368610, 378262248, 239949188, 456542319, 860777281, 720490675, 679495732, 420962877, 771673035, -1, -1, -1, -1, 824048978, 761117726, 928494350, -1, 645776231, 3605148, 533445205, 23049934, 456200477, 928735944, 183473438, -1, 539404550, 608130329, -1, 854347254, -1, 227700070, 776220724, 838464335, 60385908, 406881744, 33076814, 350602737, 357696931, 635201127, 744720900, 754170094, 597225557, 738059698, 942531205, 6496527, 129945274, -1, 164412624, -1, 151208569, -1, 24777553, 296825775, -1, -1, 333322608, -1, -1, 695035808, 494683066, 657834752, -1, 843148412, 559470351, 553799186, -1, 877173575, 107828006, 490991865, 761018722, 821946646, 910018943, 207560996, -1, -1, 788672012, 115786851, 21921534, -1, 30542, 827687335, 974079585, -1, -1, -1, 775422383, 218273393, 708693538, 729720114, 470139255, -1, 793860601, -1, 15698659, -1, 665558331, 262333177, 271144908, 318737139, 993417149, 599865692, -1, 223965035, 501444487, 37727299, 123700688, 820367741, 317724129, 194681356, 814147562, 571893027, -1, 164250943, -1, -1, 735609473, 881715318, 983860914, -1, -1, 853037590, 138121034, 729530457, 979750279, -1, -1, 676999854, -1, 452818622, 216898543, -1, 447829138, 309146846, 736394022, -1, -1, 642281810, -1, -1, -1, 650489394, 460569890, 210847161, 970049512, 166131391, -1, -1, 435455129, -1, 788571325, -1, -1, -1, 453374025, 567950738, 358314538, 647098701, 28434087, 185667936, -1, -1, -1, -1, 593354120, -1, 951924721, -1, -1, 355557310, 662346844, -1, -1, 548547264, -1, 635405986, 68580983, 300483081, -1, -1, -1, 99319130, 410314503, 220715468, 730588542, 586000552, -1, 940487911, -1, -1, 834597568, -1, 621988259, 171894204, 135555272, 702914711, -1, -1, -1, 509477145, 683171134, 66691212, 658907355, -1, 11298837, 364661712, 406392663, 990916304, -1, 636389579, -1, 733391483, -1, 221692315, 482155485, -1, 276586033, -1, 947355114, -1, -1, 138172965, 986301708, 578187886, -1, 744942976, 357985927, -1, -1, -1, 847223831, -1, -1, 499905033, 177550850, 78938726, 982552709, 733665581, 833474418, -1, 276022463, -1, 176013180, -1, -1, 193341841, -1, 114073684, 361084679, 942869993, 719159991, -1, 207374014, 16991991, 461647865, 483488868, 10484590, 262201815, 56322248, 174591289, 734912665, -1, 126288184, -1, 230907821, 797665573, 821606370, 383579966, 495702087, 899397177, 617373639, 816623809, 503118722, 223184467, 559438010, 162801469, -1, 378101191, 307541617, 902524816, 28512789, 984122991, 852567655, 150199701, 453914914, 867545613, 914606078, 784836408, 748445504, 736938288, -1, 227193863, 773412510, 562102181, 881333643, 920819653, 268662897, -1, -1, -1, -1, -1, -1, 787993647, 572471408, 111534199, -1, 356495237, -1, 244123690, -1, 339272761, 459213821, 732075515, 192878273, 621400941, 985987173, -1, 8452800, -1, 981308800, 368164459, -1, -1, 727046809, -1, 955454750, 333108391, 601468664, 110333915, 464213071, 462346304, 20216021, 123543434, 253950602, 746640422, 381039212, 578289757, 563301585, 640590397, -1, 370695018, -1, -1, -1, 802471155, 545215228, 821914704, 676859303, 399970595, 349875244, 550845554, 642955142, 658992599, -1, 741998173, 778283299, -1, 382651258, -1, -1, -1, 225675555, 685157893, 468214628, 647101316, 749790383, 654635342, 260131584, 341473874, -1, -1, -1, 616538315, -1, -1, 643321334, 267536015, 489966136, -1, 408950351, 692702476, 896012433, 38462760, -1, 71909058, 597533074, -1, 328541242, 431382543, -1, -1, 560285965, 734143770, -1, 221570424, -1, 139534872, -1, 245288297, -1, 307538820, 573997892, -1, 228121578, 721648546, 934399125, -1, -1, -1, 601640096, 382299588, 234612104, 673837299, 998900762, 476312812, 435763737, 387110187, 782468452, -1, 921519200, 982713378, 156795733, -1, 922682681, 588120703, 548649082, -1, -1, 757692117, 412260598, 594911889, 451372855, -1, 751408470, 544671055, -1, -1, 631895154, -1, 156661679, 853168283, 494434485, 869039825, 655461491, -1, 625981566, 56408463, 62350957, -1, -1, 804861130, 563260675, -1, 985334159, 977887995, 243588319, 887349938, 147290841, 323841739, 757613029, 843109536, 558071499, -1, -1, -1, 317944624, -1, 49089491, 608333017, -1, 346487745, 977188945, -1, 85886148, -1, 400110522, -1, 914909915, 360103024, 286340464, 510342987, 96463465, 187652901, 859720288, 642829026, 893170112, 322762511, -1, 337823585, 339693512, 527432097, 185947934, 569547698, 531101290, 907671067, -1, 988202254, -1, 482850438, 531947040, 291601813, 753367292, -1, -1, 306950948, 207861766, -1, -1, -1, 103772800, 457667664, 996584023, 934244550, 657002109, -1, 721467731, 332973383, 666585508, 987794621, 597046557, -1, -1, 713073106, -1, 177300927, 487540195, 457302695, -1, 425682472, 173256634, 199006074, 615071764, 444610733, 207826020, 392589184, -1, 347939708, 976095838, -1, -1, 975032012, 346336914, -1, -1, -1, 287148676, 324991822, 520673367, 331840294, -1, -1, 649202558, -1, -1, 616799456, 86871010, 660099778, 457089135, 800710897, 400874249, 887969982, 444217324, 521432609, 640720604, 296049154, -1, 461595871, -1, -1, 887426619, -1, -1, 668590111, -1, 283501144, 379587108, 893281108, 890498034, -1, -1, 659747546, 775567589, 418430527, 319222995, -1, 598430992, 686607608, 600853313, 842087204, 421263392, 387102854, 860001216, 462322639, 926018482, -1, 328387784, -1, -1, 465636844, 972009588, -1, 504056650, 632306443, -1, 414219834, -1, 793141920, 739534021, -1, 971984928, 324644497, 688051436, 591031385, -1, 255651476, 505619235, 838576329, 985053244, 233513149, 456246755, 261419583, 607891747, 76841696, 786715029, 507261573, 411625924, -1, -1, 604216411, 341555174, 685109201, 666298134, 275829006, 617927317, 811122952, -1, 83099152, 364365500, 50387703, 208008307, -1, 513998203, 432927899, 687181269, 204266749, 184490230, 230135168, -1, 515503568, 19222486, 727362392, 866269759, 13943765, 106455930, 604781540, 2306021, 571356343, -1, 639293008, 590401369, -1, 42144392, 823697447, 314429061, 509365244, 418115696, 868298521, 124417812, -1, 801053153, 991812482, 106589614, 956109267, 487749962, 254354975, 674928796, -1, 923033533, 637798263, 567940499, -1, 293336211, 403487484, 254272329, 890743708, 901712429, 187498431, 794197626, 507075081, -1, 349987585, 96042120, 654771126, -1, 593810423, -1, -1, 373728771, 219495011, 511261509, 130287758, 756058778, -1, -1, 477966901, 499018759, -1, -1, 249157794, 302042082, -1, -1, 784064820, -1, 944471210, 443352892, 262126744, 396440001, 20563515, 136422129, -1, 25561183, 555829553, 142860686, -1, 263448232, 124375397, 979441495, -1, 983510880, 726341282, -1, -1, 903878138, 582104749, 686527206, 961608357, -1, -1, 366878337, 179407932, 966825960, 159271074, -1, 495400633, 335183692, -1, 446600339, 598278644, 896059000, 17914758, 131745022, -1, 68694666, 53449463, 113350214, -1, 2000557, -1, -1, 314893743, -1, -1, 157203207, 48957006, 377495457, 170120369, 627297074, 987356902, 317506392, 10873799, 969186771, -1, 979451654, 203447652, 33486763, 224699038, 775604908, 122640735, 622511256, 17938063, 46166545, -1, 107962429, 399963376, -1, -1, -1, 4945483, 389932131, 962405292, -1, -1, 583881412, 456006430, 546370346, 326232547, 509512969, 13001188, 641989320, 409000565, -1, 632904478, 788604484, 498698203, 701597050, -1, 505673035, -1, -1, -1, 274650307, -1, 923415975, -1, -1, 562904176, -1, 47257071, 343367749, 329905683, -1, -1, 232082455, 295775531, -1, 997051959, 739549795, 318079861, 922138672, 996794468, 676580360, 557950159, 962136543, 471843557, -1, -1, -1, 323328990, -1, -1, 163316160, -1, 259374943, 924795420, -1, -1, 696816325, 192720082, 988566627, 300470509, 183777182, 324768060, -1, 510420849, -1, 899439596, 652690473, 3361485, -1, 773824047, 721579430, -1, -1, 817547509, 403594213, -1, -1, 441206102, 192603630, -1, -1, -1, 664445365, 347763558, 363735969, 277245871, 646698525, -1, 159774623, -1, -1, 307493769, 930413508, 777550876, 822520759, 505977601, 922962706, -1, 280663197, 534439917, 406403403, 128999306, 517047815, 131599202, 646476624, 843794737, -1, 57135735, 729184126, 195684323, -1, 944378748, 285635278, 714373323, 69705322, 73904996, -1, 535782345, -1, 242837641, 389332751, 372972647, 454429907, 487553718, 596787798, 637258953, 112403967, 725845706, 331447473, 359319467, 695158733, 247791203, -1, 558428923, 634769030, -1, -1, 740484728, -1, 461069939, 508444133, 476768925, 146515275, -1, 945764281, -1, 409861170, 703233379, 449188338, -1, 254628171, 895341245, 30484909, 911956067, 614405325, 772959897, 715528805, -1, -1, 240115040, -1, -1, 783218432, -1, 901561733, 3630246, -1, -1, 597667299, 717298298, 402479809, 215604305, -1, 376124774, 78552803, 737336878, 476261673, 623444357, -1, -1, -1, 835213841, 830689861, 385324052, 375429023, 33538766, 328357178, 169052246, 38755922, 103757183, 591644933, 851980534, 285123098, 843114467, -1, 445447409, 302227855, 180519826, 843221114, 105243996, 984985482, 388103522, -1, -1, 484474223, -1, -1, -1, -1, 505102556, -1, 437416925, 507035141, -1, 347286442, 974201609, -1, -1, -1, 820134201, 603702892, 955005568, 427275169, 887692070, -1, 584336664, 848773559, 747895848, 303440481, 413740128, 28871801, 697392185, 784553589, 444074928, 945354135, 545572733, -1, 979252849, 610092316, 497577126, 936870547, -1, 971539239, -1, 109253180, -1, 570966789, -1, 331224899, -1, -1, 533368382, 906774390, 472227387, 771356113, 550310599, -1, -1, 187919112, 719763852, -1, 352720880, 843506606, 292558658, -1, 709778344, 338276422, 551820261, 361736217, 59887047, -1, 805936963, 577256853, 697589027, 480234214, 438336734, 145036961, 556640137, -1, -1, -1, 797630957, 581443226, -1, -1, 954810317, 988565863, 825334475, 584350674, -1, 950817643, 900019001, 124868262, -1, 161383426, 755979992, 639490188, -1, -1, 184037428, 249719427, 116992108, 838342275, 243299095, 25178820, 201306798, 434342115, 730650990, 239558119, 94716941, 887049160, 700018908, -1, -1, -1, 977185332, 61365033, 87313952, 226032092, 867775535, 945000117, -1, 312504208, 434286350, 218765583, 136010077, 447970677, 347887102, -1, -1, -1, 750958094, 504573131, 233894611, 830045101, -1, 180086140, 154766067, 590263854, 679305434, 195599101, -1, -1, 204617959, 123677863, 470619820, -1, 574704773, 855359592, 848400623, 613257489, 941018120, 696270709, 766558081, 100787916, 289319641, -1, -1, -1, -1, -1, 805184476, -1, 538810478, 302363950, -1, 59128518, -1, -1, 761781683, -1, 273709205, 136145626, -1, 250367206, 440679650, -1, -1, 900719777, 669340086, -1, 949469564, -1, 374186380, 126011330, 966083549, -1, 913845357, 935127664, 36117392, 679569404, 668786634, 543802688, 900742057, 363951704, 730670381, -1, 693921484, -1, -1, 964432033, 976134445, -1, 38864686, -1, 286390742, 22399728, 9091854, -1, -1, 462209786, 425808029, 750134761, 598180518, 392694117, -1, 409161976, 807282701, -1, 405956328, 48157070, 6468818, 362333786, 721334719, -1, -1, -1, -1, 760036723, 87338385, -1, 380307023, -1, 878340153, 55149310, 650029290, 860572659, 953094884, -1, 377467633, 87675466, -1, 905390623, 268126127, 597170007, 712344, 430423087, 725675226, -1, 639940099, 271716570, 399552061, 229057377, -1, 596660733, 11545624, 854474733, 346500569, 103165770, -1, 162729245, 13522187, 981006263, -1, -1, -1, 914260835, 945466715, 654311901, -1, 738085150, 555566158, 671788759, 345659875, -1, -1, -1, 839281577, 530258666, 722592589, 255782755, -1, 505888281, 103029136, 954529843, 43469840, 434328868, -1, 838433286, 254542722, 768144810, -1, 882300255, 434329565, 150208521, -1, 599276650, -1, 258661155, 604017383, 429859170, 645906550, 285770185, 5032542, 721468542, 529720600, -1, 642853727, 226339340, -1, 715134186, -1, 426605025, 470538569, -1, -1, 994334466, 496884139, 579791804, 454571352, -1, 305322306, 997941855, -1, 511117211, -1, 631610238, 564467341, 940784787, -1, -1, -1, 131106565, -1, 289133537, -1, 580461618, 407851510, 208841966, 189576288, 516303393, 464683493, 330417187, -1, 235624508, 280507327, 859150296, 435781218, 978990235, 429424575, -1, -1, 960448012, 809651679, 784848366, 919194124, 744161249, 300569556, 315466879, 401957667, 924038248, 258470189, -1, 768825433, 575806525, 201971261, 189570813, -1, 794203805, -1, 177597089, 340662423, 512586044, 474819464, 138838019, 762897095, -1, -1, 925513246, 399869929, 865672080, 936382966, 806172826, 548080537, -1, -1, 387978801, 49205667, 393979350, 42666235, 834879824, -1, 438658836, -1, 468496196, 847810771, 850993107, 588819588, 749262036, -1, -1, 272387950, 64037163, 222775214, 833081771, -1, 847322955, 969200492, 832375308, 235613574, -1, 918848911, 950315663, 14370095, 103421671, 653162602, -1, 374602906, 167385293, -1, 338870976, 788047533, 169293146, 622914126, 486037792, 856380242, 748186867, 349536913, -1, -1, 416096506, 24972635, 968435968, 308290021, -1, 565121705, 136882642, 107990916, 477905853, 515238735, 335127307, 489768357, 540406112, -1, 265699587, -1, -1, -1, -1, 371750318, 876008135, 422253090, -1, 924953631, -1, 467662199, 522100007, 121395687, 896191481, 889722151, 773385968, 28763822, 675314313, 509374608, 375357632, 455817699, 323955760, -1, 579915999, -1, 124590812, 781720958, 872068036, -1, 379320798, -1, 655078341, -1, 991205198, 745564607, -1, -1, 677938796, -1, 363131724, -1, -1, 628322794, 153907834, 914461268, -1, -1, -1, -1, -1, 316437846, 548547244, -1, -1, 465173992, -1, 771342275, -1, 125745251, 906636643, 441624750, 636783058, 643916237, 250690043, 701996799, 251167771, -1, -1, 744950585, 871627660, -1, 824972302, 15762486, -1, 111071391, -1, 541879954, 727473867, 723776421, 588049638, -1, 918532155, 320323425, 637359447, 174666901, 269758024, 261988448, -1, 983064605, -1, 802946217, 168642153, -1, -1, 433845916, 376273241, -1, 387621599, 177309319, -1, 324917779, 182927078, 745281265, 414507817, 383570022, 31286925, 731257217, 228833745, 653497853, 949088179, 673278282, 259776718, 822343775, 163503179, -1, 551874544, 482357836, -1, 282744080, -1, 478548255, -1, 419541666, 375913863, 372277399, -1, 675300528, -1, 743736292, 622247017, 252285945, 971882171, -1, 150424342, 422317108, 199076508, 507085613, -1, 169034667, 684772719, 959493580, -1, 851573207, 198578852, -1, 894465340, -1, 774303872, -1, -1, 545600154, 766634378, 324672478, 221256409, 76767918, 104139173, 225467198, 689227732, -1, 427047169, 743197507, 437103794, -1, 984989784, -1, 993324685, 756327037, -1, 669619665, 743746550, -1, 202669832, 886274260, 807549400, 533247466, 528986105, 283268316, 194921180, 784215788, 411073609, 832810187, -1, -1, 998449928, -1, 831885724, 948513595, 847803707, 387958553, 985626942, -1, 465550079, 119754573, -1, 973279143, 904537865, 92851481, 787722776, 921978643, -1, 62309077, 25575980, 463442755, -1, -1, -1, 894382236, 734985883, -1, -1, 813154913, -1, -1, 950732133, 893170402, 894777229, 478386321, 296151524, -1, -1, 187412447, 681048429, 437945141, 429278677, 280761253, 735017531, -1, 160583990, 365454889, 718870751, -1, -1, -1, -1, 468170449, 157019740, 871683114, 349676751, -1, -1, -1, -1, -1, 946999546, 439791140, 33163972, 615495003, 876210867, 305074351, 623891841, 177843536, 267229555, 200441916, -1, 243043119, 406014778, 530136310, 669979652, -1, 5392040, 821652671, 867370478, 796933880, 44142383, 556155109, 554395382, 983183791, 18689343, 328202593, -1, -1, 932166824, 942570476, 353515248, 203172591, -1, 120124298, 419281426, -1, 607878482, 601791813, 537530998, 102784777, -1, 274012144, -1, -1, -1, 615689019, 3469886, 561517852, -1, 385861492, 208221025, 829761256, -1, 217187549, 484202713, 378499227, 953345134, -1, 906618032, 273004679, -1, -1, 10597269, 209667596, 453542612, 735222750, -1, -1, 525879741, 896917021, 358182884, 780196199, -1, 662164860, 558175322, 287041827, -1, 322630771, 11490668, 89818426, 438371385, 660923469, 658775412, -1, -1, 802415807, 88461363, 52962019, -1, 127088220, -1, -1, -1, 968862412, 374151395, -1, 502710533, 312958332, 638050003, 123850844, 451844153, -1, -1, -1, 937014991, 58409612, 378883086, 503731796, 744319590, 189814989, 751227920, -1, -1, 698380597, 11912510, -1, 894665633, -1, 302208194, 715305442, 208559354, -1, 172668452, -1, 394260877, 748899212, 807875753, 274045032, 70778178, 796238423, -1, 312357917, 600832143, 191024558, 318051695, -1, 282433962, 656245517, 712911134, -1, -1, 281754243, -1, 35051546, -1, 231792374, -1, 438500391, 336349191, -1, 28564313, 215200901, 933009563, 976377183, 36794023, 943010289, -1, -1, -1, -1, 584687270, 480768112, 174082756, 347837461, 849516742, 187812091, 43680272, 467913932, 846568626, 693807725, 814171661, -1, 630310603, 203139973, 731777653, 321793320, 733725041, -1, -1, 345814686, 502540267, 666767858, -1, 634376960, -1, 138202008, -1, 990430280, -1, 305301549, -1, 101531282, 897495414, 977244336, 923338805, 18067704, 991318989, -1, -1, 550779512, 975634592, 424228770, 5246707, 141893513, -1, -1, 722295941, 205102259, 3805121, 727989895, 204243477, 628847327, -1, -1, 729555265, 233933056, 363775194, 180156976, -1, 14634375, 691241398, 322326585, 918812371, 10200483, 851729398, 189567523, -1, -1, 558801170, 291978353, 184646243, -1, 653400894, 61846240, 964387158, -1, 272651388, 280739656, 409856869, 273794411, 942778669, 551130598, 617122917, 515945843, 917097214, 672333909, 61040125, -1, 963302758, -1, 562061447, -1, 20956777, -1, -1, 587499916, 568052624, 156297443, 223762078, -1, -1, 588038345, 399300206, 199318378, -1, 375094818, -1, 235680090, 257320597, -1, 336979533, 821210807, 560056931, -1, -1, 34329436, -1, 588434233, 577652448, 846935914, 467171599, -1, -1, 884845490, 990270661, 640269766, 708066269, -1, 921846940, 997188240, 485093610, -1, -1, 53366864, 280638008, 335580919, 548110421, 671086661, 4422215, 129584423, 135951691, 82030039, 170702456, 906833156, 251192521, 714922701, -1, -1, 95380853, 842560502, 231371255, 103277975, -1, 795428537, 135717395, 866039146, 501691614, -1, -1, -1, 6622591, -1, 973322694, 847504303, 464510612, 923288112, -1, -1, -1, 519131439, 280236111, -1, -1, 668386454, -1, -1, -1, -1, 894360318, 823962987, -1, -1, 98619155, -1, 900862943, -1, 52235327, 732620989, -1, -1, 800202354, 919605482, 870704917, 445006026, 962942014, 695314952, 524494448, 667457221, 142321993, 836680877, 959085645, 752667203, 365502565, 415667146, 501236797, 198900916, 310630102, -1, -1, 830218180, 424688008, 137309881, -1, 6203186, 539721403, 166482526, 516226725, 596676143, -1, -1, -1, -1, 38531786, -1, 812898711, 487538354, -1, 789536560, -1, 582617924, 518288788, 148501298, -1, -1, 920164710, -1, 2523385, 640311135, -1, 123636926, -1, 739126057, 48566799, 508917, 798185494, -1, 469971345, 12362735, 643199638, 532089739, -1, 89832895, -1, 849804146, 846665304, 700746478, -1, -1, 500935257, 647581201, 28897581, 819751388, 93534115, 329434336, 220733208, 825741615, 431325620, -1, 264963345, 217963448, 186979670, -1, 162620368, -1, -1, 481137804, 824560128, 145516225, 53850641, 735562000, 727210587, 106086110, 498290728, -1, 937906204, 522171683, 109019356, 247386478, -1, 169892518, 721993672, 622403631, 844469568, 197927009, 598761730, 870048628, -1, 761797472, 515274682, 345859747, 471247396, 923080089, 218396222, 248345478, 17670135, 828441007, 381012953, 428897681, 874292228, 839729819, 829020421, -1, 947263788, -1, 648133579, 758655329, 309595733, 879610471, -1, 437862639, 645653934, 208229317, 720577496, 638476398, -1, 285527353, 664303815, 394888124, -1, -1, 980234251, 728509368, 671144460, -1, 87960414, 167663532, 878774297, -1, -1, -1, 592094477, 230151443, 912508420, -1, 502664290, 529624995, 572040128, 345348840, 606992631, 482152047, 95795492, -1, 453616662, 648053811, 914060239, 891603958, -1, 867099369, 413274321, 606791224, 607530146, 41601409, -1, 596969045, -1, 191267791, -1, 812645590, 332555911, 222120044, 716444465, 248465163, 769198135, 491361766, 627285053, 870825857, 870817293, 140796467, 438249718, -1, 811332770, 917951972, 483049024, 374467481, 820945389, -1, 203847819, 955356685, -1, -1, 636930886, 789449194, -1, -1, 296820349, -1, 808694356, -1, 207031309, 229182911, 547938556, 855228295, -1, 428262386, 431267752, 917263143, -1, -1, -1, 124341039, 177677095, 119136238, 888928059, 391016434, -1, 748649819, 529374521, 406347668, -1, 519931861, 530370643, 892645544, 700901114, 330303392, 711061577, -1, -1, -1, 663967300, -1, -1, 253102063, 525726974, 782755156, 989968224, 356292806, 532227995, 879442915, 276998912, 40060615, 79174647, 377861651, 990869329, 773437323, -1, 763843126, 870153134, 836978208, -1, 951227627, 195492574, 313596420, -1, 752193436, 982463932, 792772273, 735910042, -1, 391242345, -1, 817133675, 336312900, 639147615, 417072788, -1, 951589157, -1, -1, 960258948, -1, 123291968, 727822001, -1, 502123299, 999639624, 162775757, 81393282, 538763521, 738996525, 941833054, 451233824, 74079412, -1, 131492198, 777381817, 658084123, -1, 619821906, -1, 244406024, 302490663, 869457199, -1, 386256221, 438096074, 352040003, 918139174, 160581544, -1, -1, -1, -1, 964927537, 439189574, 35863297, 342112520, 733800415, -1, 664033578, 112125197, 240255570, -1, 18701129, 967733246, -1, -1, 888192827, -1, -1, -1, 701086277, -1, 671024430, -1, 750339909, 142208412, 72561968, -1, 572567064, 886746974, 165443029, 402465587, 631896631, 28374007, -1, 119707159, 872301066, 882024680, -1, -1, 136159765, 568414333, -1, 536788000, 433730269, 579597807, 668380603, 873998918, 793362524, 516015036, 800171750, -1, 357844953, 117012551, -1, 479333333, 149618710, 631338634, -1, 968809524, 652616011, 471095299, -1, 89139492, 384460315, 36232193, 950440585, 469070546, -1, -1, -1, -1, -1, -1, 803488845, 669550234, -1, -1, 34950803, 484243672, 426581578, 627418319, 107550242, 859339014, 632328134, -1, -1, -1, 896751651, -1, 655748177, -1, 351952553, 57726522, 81383342, 938962336, -1, 739798584, -1, 416381301, 311926229, 187622843, -1, 720720362, -1, -1, 581044084, 617005013, 959668438, -1, 574152242, 911328551, 882119520, 639188000, -1, 239201379, -1, 574372723, 484788993, 705227532, 20613112, 369232167, -1, 565664533, 203420049, 848443414, 152519829, 235268674, 987709731, 439995852, 199396375, -1, -1, 530897129, 753729560, 735281813, 374554921, 824170702, -1, -1, 386783841, -1, 475206889, -1, 707171051, 194855566, 524752059, 581388519, 721873579, 602804553, -1, 548944544, -1, 809572306, 180042529, 48761706, 191128404, 947598978, 179491998, 300040396, 178462609, 544394079, 351122609, 320384617, 347288013, 557174295, 252717601, 765874770, 490199352, 966428148, 369298520, 43193820, -1, 842604137, -1, 924462380, 695386055, 623315530, 30146681, 84478410, 604385115, 83322382, 796581802, -1, 218230668, -1, -1, 956861692, 664204640, 512762416, 940415900, 844026959, 929028038, 803891254, -1, -1, 549711565, 576597375, 989714600, -1, -1, 633234590, -1, 519376256, 698011309, 751587114, 550239693, 947344678, -1, 616525103, -1, -1, 621297254, -1, -1, 240535239, 959072334, 804610403, -1, 104578087, 598093678, 413730687, 656662190, 805873503, 110611134, 257321457, 564058726, 313503439, 634708277, 649867297, 694341216, 926076400, 622110794, 531385909, 69600619, 539740564, 293425798, 134059051, 10983954, 64205314, -1, 817467698, 630131000, -1, 624578383, -1, -1, 687690314, -1, 25221535, 666889982, 993466728, 468545804, 211230532, -1, -1, 250964538, 117467800, 290519538, 686909991, 611690885, 634187643, 985993622, 329479419, 888555398, -1, 428787597, 24616349, -1, -1, 527494295, 898595345, 301362436, 999014787, 759511822, -1, -1, 854229769, -1, -1, 223711626, 46117160, 896587455, 827946589, 59224890, -1, 859131466, 703863075, 588616479, 137983218, 226940535, 856889666, 488607681, 624435712, 324711869, 775824661, -1, 704622380, -1, 577820544, 37537996, 611285222, -1, 247926803, -1, -1, 323912520, -1, 109193715, 369139311, 76115775, -1, 899125218, 958094897, 603197351, -1, 108212281, -1, 807545101, 993513439, 535573524, 951268687, 119992089, 113361965, 245107361, 419030882, 815024896, 443941234, 877249951, 282733213, 341962202, 278962366, -1, 270774240, 112374955, -1, -1, -1, -1, 218586774, 510784989, -1, 669995914, 509705877, 169794823, -1, -1, 555441889, 841261190, 716544346, 349543220, 718203296, -1, 15634438, 850093115, 329107312, 582297297, 863445081, 49843996, -1, 490994186, 553362016, 943810391, 665440377, 227526481, 942658231, 601061163, 325894196, -1, 47025752, 688927763, -1, 766504719, -1, 138072491, 784388648, 757118733, 746380868, 415565299, -1, 569364133, 858788348, 822468723, 401912216, -1, -1, -1, -1, 461472244, 674811801, 120493806, 132771951, -1, 659780399, -1, 634154327, 138080452, 468484846, 614031950, -1, 624326027, 327889391, 529359345, -1, 884341146, 244611989, 365497509, 522674790, 352162723, 441627585, 284470432, 457593481, 217949523, 972123527, 553711229, 518270030, 225658772, -1, 315541078, -1, -1, 3907427, 622439137, 491353532, 547786852, 904888747, -1, 134732448, 179903340, -1, 3593998, 966089411, 713006719, 686691642, 701381312, -1, 340863649, 956435244, -1, 122922532, 769789054, 898365730, 50108144, 121851923, 70371410, 133871211, 710412147, -1, 430526034, 772385047, 420835237, -1, -1, -1, -1, 301556601, 949464307, -1, 649273390, -1, -1, 736072193, 416548546, 949262255, 391878009, -1, -1, -1, 830511836, 281803162, -1, 928196907, -1, 37426413, -1, 576552812, -1, -1, 679070176, 842856491, -1, -1, 245916227, 33520332, 653848798, 473103920, 818030863, -1, 616222829, 326822815, 833136420, 245053967, 753958188, 474528550, 610759834, 821175236, 609366434, -1, -1, 26064611, 183331968, -1, 605243850, 894265260, 563041829, -1, 524102438, 394292217, 544364230, 642431867, 243753698, -1, 740141513, 778365822, 201197752, 606243345, 479387516, -1, 798119669, 511486818, 244666112, 852347016, 342408295, 251256978, 443585388, -1, -1, 232930743, 532232595, 126998063, -1, 769475083, -1, 350223479, 183171776, -1, 585289094, 495406243, -1, -1, 31824217, 596666265, 487251997, -1, 705404585, 213268636, -1, -1, -1, 207800127, -1, 411369292, -1, -1, -1, 49402104, 885799056, -1, 217546087, -1, 599469474, -1, -1, 779305148, 78265456, 245263351, -1, 321755781, -1, 682530061, 113786048, 694757569, 932109126, -1, 278186163, 12818639, -1, -1, 401208626, -1, 33172125, 623524045, -1, 883051821, -1, -1, 896710855, 696716488, 258628510, 435924694, 853995125, 952399912, -1, 33567634, 191376585, 841941515, 857728292, 261980821, -1, -1, -1, 199768104, 698279224, -1, 62723873, 456886545, -1, -1, 351750554, 641933233, -1, 870483472, 326104738, 521344679, 649549053, 568996614, -1, 384736141, 599247176, 84398634, -1, 447106453, 784602935, 296311338, -1, 262202567, 547673199, 734901014, 520705095, 116231813, 385303190, 690105640, -1, 372176386, 600658630, 221335171, -1, 889931852, -1, 632340981, -1, 562253335, 789855937, 711611880, 540449231, -1, -1, 687266292, 266129171, 694482576, 830903878, 920791719, 86122393, 546945736, -1, 642376861, 535816611, 823096006, 77775317, 245984807, -1, -1, 147396085, 58525372, 277028231, 995467922, 874469416, 712693056, 385957152, 438281860, 437890827, 396709499, 382760074, 173855692, 23105363, -1, 734096127, 432035918, 893256216, 488799737, 675429321, 500068753, 966052695, -1, 300217337, -1, 347844336, -1, -1, 598108697, 482798711, 766149041, 958463707, 736845778, -1, -1, -1, -1, 242194142, 252892367, 259150952, 488341658, 475715010, 306136666, 660567455, 65594296, -1, 230487907, -1, -1, 750646035, -1, -1, -1, 782250494, 13580520, 349214089, 94372950, 73540723, -1, -1, 904152783, 289878456, 403463061, 360233531, -1, 904999737, 847901611, 207753812, 232958454, 977362733, 767961896, -1, 668003685, 174600926, 190531547, -1, 403157361, 337640248, 192582160, -1, 560944938, 936860359, 405445765, 819126710, 109933016, -1, -1, 637694128, -1, -1, 199348479, 747808495, 245413649, 611947176, 735329513, 42596840, 640738552, -1, 111549833, 747316728, 691079320, -1, 935521280, 891420028, -1, 498833397, 349651870, 369538253, 297393068, -1, -1, -1, -1, 678212285, 991549026, 468821658, -1, 759050715, -1, 542347803, 926734964, 370993999, 410420773, -1, 563614567, 851461300, 128865687, -1, 759202106, 297693452, -1, 701643286, 188425898, 684114378, 241530855, 454101554, 221167493, -1, 520201076, 916316886, 867794850, 330098010, 631094496, 178780734, 486759590, 916420345, 369387184, 803090844, -1, 307058960, 45165684, -1, 783992097, -1, 658566202, -1, -1, 445439502, -1, -1, 209643894, -1, -1, 810048293, 102631996, 62176434, 76500040, 377873298, 647086563, 614126892, 99207451, 23170012, -1, -1, 557101285, 873991573, 556168921, -1, -1, -1, -1, 45127920, 813519760, 356261004, 501271436, 453318904, 640938110, 600757345, 72051535, 570422614, 115769430, -1, 362813349, 752082430, -1, 162789051, 606347900, 91061320, 96344081, 749691832, 335647679, -1, -1, -1, 518340875, -1, 39261706, 188308093, 457864226, 537401602, 890557209, 350253654, 347836564, 713580960, -1, 562660014, 571307485, 468518234, 292525029, 309877691, 57639982, 20632313, 752550524, 915518940, 513752811, 868655792, -1, -1, -1, -1, -1, 820994505, -1, 924808004, 596149875, 459860705, -1, 470179908, 488361318, -1, -1, 997012543, -1, 595503217, 919600351, -1, -1, 978160980, -1, 196829556, 433764576, 379143140, -1, 882587227, 849466596, 634451322, 107701714, 894087373, 410905365, 955931796, 78336951, 453102022, -1, 470383734, 941607147, -1, 302687630, 159038784, 44418086, 874255978, 66305412, 251672458, -1, 310085377, 382061240, 434654153, 660962025, -1, -1, 166550651, -1, 356356642, 867214071, 546571695, 180429367, -1, -1, -1, 378463761, 672569340, 867559073, 142445154, 865439688, -1, 167618629, 389049339, -1, 460066575, -1, 770559611, 214078659, 272300326, 784401756, 895810363, -1, 57743209, 666045038, 508889618, 260996463, 58075661, 89011056, 619734278, 24516630, 571695568, -1, 283659923, -1, 344108659, 322480513, 949612124, 932280098, -1, 214317690, 224766675, 29770922, 599241002, 266983183, 72741227, 785737409, 177302071, 641391814, 238819420, 799783510, 3736192, 169671832, 416690783, 130486793, 860266429, 92626883, 128041463, -1, 261840342, 805972163, 793446689, 539021140, -1, 250204768, 972291993, 403612071, 512851822, 170505508, 111725804, 641951844, 667322533, 169725114, -1, 449878251, 782941328, -1, 62526858, 749653057, 200169695, 716378916, 380883396, -1, -1, 317203227, 620625495, 891750203, 571712797, 826739242, 11286686, 533959098, -1, 900434573, 336801379, 658562044, -1, -1, 990872268, 371689507, -1, 666666696, 241186521, -1, -1, -1, 61461104, -1, 181951954, 525436876, -1, -1, -1, -1, 983040795, 946309213, -1, 169991593, 448860974, 746976944, 896348653, -1, 257379596, 852923554, -1, 370274053, 796092782, 782978654, 856190314, 761741130, -1, 473814823, 788338289, 197093129, 849925405, -1, 308241930, 409817873, 670599324, 956516257, 301331688, 652859003, 480497043, -1, 316995158, -1, 147602621, 634862709, -1, 425170595, -1, 230731191, -1, -1, 402090593, 182545114, 579680612, -1, 522388401, 2720653, 2009724, 622337295, 74125768, 661041665, 743067153, 97576671, -1, -1, 821082753, 322272639, 80409471, 444476584, 566392594, -1, 694702243, 526447155, -1, -1, 230483679, 972383717, 145667109, 193929647, -1, 808582098, -1, -1, 228406274, 741382224, -1, 812973557, 99879389, 934085365, -1, -1, 406804504, 666827784, -1, 529816057, -1, 927563295, 619292311, 163353680, -1, 965722670, 842273163, -1, 484261917, 711052739, -1, 969015354, -1, 159056382, 696696793, -1, 457813473, 868539452, 233079324, 151835518, 728752233, 642986185, -1, -1, 428269730, 172854535, 758001117, 144412090, 803852847, 59866408, -1, 263339598, -1, -1, 897446450, -1, 311561639, 426226369, -1, -1, -1, 511597661, 322550329, -1, 700845253, 191287972, 981720408, 413640228, 192656261, 742735301, 408093363, 309683098, -1, 314803720, 714250801, -1, 112626622, 29834366, 23489680, 828087951, 189911144, -1, 681276071, 603579553, 529408428, 304665677, 180743812, 694179395, 996847517, 773490715, 933515439, -1, -1, 22886052, 251028135, 101254053, 485761939, 430529495, -1, 308152952, 60789566, -1, 269097970, 763936412, -1, 358707267, 308907263, -1, -1, 580239290, 649443653, 859917425, 987809589, -1, 362877206, 854363919, 508715489, 538438672, -1, 335950112, -1, 302194715, 745085706, -1, 582466816, 898676824, 10761834, 998296582, -1, -1, 432746237, 939276271, 487149169, -1, 669917653, -1, 411254201, 758659015, 72563135, 915717993, -1, -1, -1, 88495497, 204031169, -1, 116664190, 666095734, -1, 967062550, 351127356, 539327049, 111868263, 934735701, 576496485, 239024892, 420630142, 751816669, -1, 287987917, 744773355, -1, -1, 919881254, 551609797, 832005538, -1, 48225208, -1, 809333205, -1, 763101205, 624417833, -1, 522043307, -1, 585321823, 733658571, 21150380, 892823163, -1, 935593445, 636053309, 870667500, -1, 11851354, -1, -1, 747341194, 537023949, 579048807, 101887216, 769244594, 474510145, 799020962, -1, 348523269, 59056961, 230465300, -1, 749007006, -1, 381426641, 566387267, 958645086, 718887209, -1, -1, -1, 559608321, 200832234, 622807489, 608905546, 441509785, -1, 884472961, 151657780, 647210123, 581701831, 741016292, -1, 890326679, 161941384, 763794907, 667411689, -1, 457119533, 618186146, 663404406, 895116156, 696021644, -1, -1, 618170570, 958051004, -1, 298623333, 724950960, 558021945, 738107274, 425561844, -1, 589353801, 771248767, 145068456, 325756036, 940014075, 513856575, -1, 196959226, 977261812, -1, 645227246, 161059906, -1, 213822351, 470679511, 912624673, 913616719, 34163332, 864752848, 135721625, -1, -1, 605280303, -1, -1, 457239834, -1, 460963506, 359942106, 436783652, 123760558, 109793781, -1, -1, 552425756, -1, -1, -1, 506294233, -1, 24171936, -1, 919821109, 553694421, 603222046, 281434568, -1, 206552356, 717776121, 638120500, 415828485, 420470245, 857378235, 671478616, 507586722, -1, 8239911, 945370401, 670304354, 513051869, 435483675, 637767285, -1, 237967832, 587963505, 647312345, 825750439, -1, 660403611, -1, -1, 313207522, -1, -1, 808102619, 814535511, 687221894, -1, -1, 831111948, 429325795, 484874733, 40536993, 383815355, -1, -1, 979186224, 643978222, 887919849, 366628044, -1, 585662387, -1, 531361700, 505863184, 481621804, 206450999, 115250348, -1, 436888704, -1, -1, -1, 212110524, 846589904, 938115184, 569337548, -1, 703053920, 351986888, 689838804, 649501276, 591621346, 753616211, 315183153, -1, -1, -1, 478777074, -1, 259916875, 748880985, 456549932, 85520354, 802233623, 775387692, 587682662, 273574156, 305122847, 485880715, 187081104, 391484132, 209920163, 762571487, -1, 826446712, -1, -1, 150906691, 345031366, 349983838, -1, -1, -1, 806303124, 412779461, 992929753, 274876635, 356186804, 393314112, -1, 198949152, 392559281, 414697804, 628735584, 709741566, 677388682, -1, 282001476, 664838401, 898047700, 385195712, -1, 58643344, 134858867, 33183758, -1, 691108274, 180960611, 102156412, 886177379, 310828894, 980819614, 647993499, 105984352, 241228796, 520303093, 617413389, -1, 72648857, -1, -1, 806449272, 956982782, 65962908, 423748326, -1, -1, 456401754, 602926574, 625990664, 403772123, -1, 923502489, 960827625, 862731557, 718473052, -1, -1, -1, 703399728, 993361433, -1, 505159495, -1, 231980216, -1, -1, 804745895, 234171263, -1, -1, 602636044, -1, -1, 457912874, 771318558, 595227732, 288310466, 454055736, 981164010, 663270714, -1, 664206478, 133122739, -1, 517929309, 786961012, 993058333, 744275196, -1, -1, 573019043, -1, -1, 545533580, -1, 616699039, -1, 261165345, 557571260, 141582206, 929190377, 230805899, 424702987, -1, -1, 959594872, -1, 670263640, 267423941, 534935083, 681172931, 470918299, 238972494, -1, -1, 111185732, -1, 651693186, 595992475, 226083226, -1, 194956034, -1, -1, 911281247, 430520054, 632688891, 347299569, -1, 773272867, -1, 786328388, -1, -1, -1, 471044575, -1, -1, 339265598, 334770129, -1, 569264171, 373820997, 322034509, -1, 372373370, 650193801, 670795762, -1, 484973588, 137262916, 890161349, 154977465, 746936258, 557537299, 762670888, 230786405, 838685840, 765860493, -1, 740730635, -1, -1, -1, 580832517, 31586209, -1, 898954651, 549347013, 174597088, 616569011, 897807870, 998829963, 244394553, 504425604, 783702496, 817475188, 397258005, 473580266, 531733348, -1, -1, 969602112, 927548239, -1, -1, 914412229, 158541597, 982259395, -1, 380664357, 157443822, 560654064, 875352494, 483904799, 218298729, 469497296, -1, -1, 860583612, -1, 799863065, -1, 220279869, 622945149, 455462440, 955511951, 727968345, 437806814, 624657149, 77812234, 630724649, 230261958, 500873133, -1, -1, -1, 155597415, 303207672, -1, 267722395, 972340931, 606051711, -1, 615785907, 136015891, 647539705, 53658899, 283298044, -1, -1, 183679616, 25877082, 797608170, 236755196, 811172338, -1, -1, 162604703, 96845826, -1, -1, -1, 425794099, -1, 685617786, 462715710, -1, -1, 862047750, 125524621, 874516851, -1, -1, -1, 291100348, -1, -1, -1, 275563217, -1, 920019049, 552879594, 372593242, 181637535, 314255025, 491901007, 295983810, 152239820, -1, 153001585, -1, 322718021, -1, 412312445, 949053109, 821224416, 333324543, 97584703, -1, 6158213, 488618310, 611085438, 31689429, 911923189, 375468841, -1, -1, 40198259, -1, 615294660, 340326631, 702978156, 706904025, 175894798, -1, -1, -1, 962132235, 537579272, 256055420, -1, -1, 71232056, -1, 919465300, 762207875, 426781026, -1, 435274903, 90195505, 744935280, 306349218, 821966818, 71391090, 18339690, -1, 134537057, 512746023, -1, 665243199, 494897312, 908331673, 101632888, -1, -1, -1, 222827134, 562236838, -1, -1, 476441147, -1, -1, 744864417, -1, 570174522, -1, 736459012, 471094476, 807481342, 901456408, 59288257, 282312546, -1, 526987947, 288341503, 103535514, 216982106, 916907027, 778376773, 541943179, 622560572, -1, 300970810, 434379353, 301444677, 746906844, 551245274, -1, 542021934, 738096778, 389721327, 395726579, -1, 682525196, -1, -1, 991800901, 975581866, 282336297, 321488744, 27216207, 550493857, -1, 138879614, -1, -1, 468823334, 556489365, -1, 565993585, 137807384, -1, 195592090, 630457366, -1, 155604470, 17823737, 6138623, -1, 548529879, -1, 335024783, 755602011, 938843104, 39494643, 915205466, 621700319, 105744801, 262198281, 954331348, 726500409, 443366427, 948662291, 274769302, 55810662, -1, -1, 976647217, 539502966, 470997613, -1, 246496710, 601394070, -1, -1, 13359679, 662848622, -1, 716847339, 915334418, 444593181, 653634527, 89998122, 717764437, 810266640, -1, 753145240, 618415985, -1, 644561651, -1, 5217143, -1, -1, 757383304, 977236863, 618221051, 992010392, 469622832, 313591673, -1, 114132050, -1, 852416151, -1, -1, -1, 932157172, 886533423, -1, 410361776, -1, 845838843, -1, -1, 433886075, -1, 738247031, 264347686, 21131057, 619301739, -1, 555154834, 630321587, 875759562, 622709764, 411397641, -1, 559496854, -1, 371644634, 59200418, 14770740, 998434781, 539908126, 572640994, -1, 275492379, -1, 477256752, 705861994, -1, 255981638, 40640894, -1, 314223348, 173390366, 812487517, 485960524, 746883136, -1, 732263059, -1, -1, -1, 132716111, -1, 849952532, 235331848, 874038130, 652546116, 378670199, 691467131, 213852436, -1, 348225707, 584312253, 156185514, 3035181, 211455960, -1, 691668420, -1, 119254501, -1, 106945445, 33770798, -1, 375864194, 56343749, 706425149, 503398872, 76778609, 115918585, 620925572, 64226468, -1, 306313301, -1, 984431718, -1, 39950962, 51962011, 905735375, -1, -1, -1, 701822763, 665424502, -1, 957958691, 634797893, -1, 752769527, 150541003, 170497315, -1, 142069105, -1, 270590702, 202232283, 845317612, 879417488, 353137329, 984587658, 520657756, 442924166, 236445129, 961850355, 597953707, 260056872, 862247635, 242288265, 318763320, 58914867, 30418721, 77238022, 573527600, 806090848, 920812215, -1, 676927065, 141024451, 712533192, 976701031, 679121504, 489069663, 778757060, 333711291, 802824389, 719920188, 260150744, 977973766, 129428737, 930876347, 578920920, 58778564, 447771479, 257840591, -1, -1, -1, 626775396, 976997703, 689846826, -1, -1, 691667162, 935946242, 168669410, 753027879, -1, -1, 721181635, 208443249, 111360132, 982252136, -1, -1, -1, -1, 390638204, 347143081, 649736850, 582699441, 273313710, 702986605, 68537237, -1, 268224422, -1, -1, 580621673, 573580741, 287168611, 79205757, 673970473, 239920401, 767740640, 554428289, 935920415, -1, -1, 555333814, -1, 775599838, 675565500, -1, 404957415, -1, 193369200, 248709466, 860875780, 537766188, -1, -1, 157983641, -1, 859881043, 706240698, 553093906, 714495395, 553345229, 644241801, 336117498, 424757061, 718284457, 452391055, -1, 798581939, 293213770, 603681848, -1, -1, 996797493, 358534943, -1, 515061831, 150994741, 54570646, -1, 865385145, 635319038, 330776455, 94554454, 240382516, -1, 449472166, -1, 888370695, 278349600, 511498750, 270713530, 361852217, 111318860, 857522318, -1, 368633482, 408239731, 477294805, 790269434, 617682617, 737255621, -1, 238486756, 899951027, 670270304, -1, 75028510, 404484859, 109527554, -1, -1, 143084882, -1, 521388746, 123081927, 947357933, 439520822, 355546951, -1, -1, 969456981, -1, 100668594, -1, 14719262, 528356020, 585593324, 25785693, 127568363, 852411754, 158053843, -1, 7014967, 967894912, 582220461, 58127035, 13574615, -1, 868420469, 408973993, 169438036, -1, 12351908, 296589420, -1, 750627887, -1, 3585186, -1, -1, -1, 527507121, 729075436, 798767680, 229160066, 74702906, -1, 197050027, -1, 616953781, 705737584, 76694045, 485976131, -1, 313666042, 148077079, 936888512, -1, 789448207, 561840470, 531963529, 808111834, -1, -1, -1, 657169378, 702981758, 105210743, 365679784, 502508096, 484368675, -1, 526538095, 884884556, 150987327, 338571330, 87751215, 575044575, -1, 848366887, 289740480, 109474871, -1, 545976760, -1, 538002316, -1, 776048555, 76633991, -1, 372719823, -1, 231562832, 710517317, 111778314, 550270981, -1, 18110145, 696591312, -1, 938642584, 254125635, -1, 475184343, 808528776, 458571141, 41976773, 56822671, -1, 924229380, 352476000, -1, -1, 831865422, 276893257, 149134608, -1, 744504900, 414865220, 524909662, 315037438, 99036249, 530362446, -1, 505659161, -1, 280964361, -1, -1, 242335554, 390494693, -1, 560192790, 894493293, -1, -1, 14473629, -1, -1, 160824024, -1, 451282482, 344032599, 133503659, 503407245, -1, -1, -1, 291774735, 152330740, 195054471, -1, -1, -1, -1, 492529027, -1, -1, 549518475, -1, 85306231, 96658325, 206857832, 426206570, 349824601, 771211202, 59221258, 989627567, 803396465, -1, -1, 339432362, 980918937, 231611848, 945014238, -1, 108076120, 633410275, 735683934, 706238024, 208107917, -1, 824488338, 730923175, 971917261, -1, -1, 481269120, 729627236, 376800751, 627688109, 679857440, 871248990, -1, 218131007, -1, 126512840, -1, -1, 164505598, 626587407, 595373175, -1, 800657622, -1, -1, 417389460, 881041817, 273871176, 606829107, 730692967, 709761026, -1, -1, -1, 757331887, 421093028, 587781455, -1, 603574441, 697494499, 71666877, 164681193, 332587054, -1, 7634144, 610554816, 694144961, 423650659, 509517629, 56883275, 436999868, -1, 407741674, 700410851, 461905026, 59234285, 727815039, 935882974, 10746724, -1, 702602199, 642194380, 330713384, 760266561, -1, 48031705, 125577123, 370390330, 835514409, 352491978, 618455078, 476723134, 266480373, 568632801, 851194624, 585910787, -1, 147187914, 372203701, -1, 948919906, 566949334, -1, 568495947, 434717185, 318612907, 207585408, -1, 49833543, 867100647, -1, 2074753, 227032215, 193920651, 951020543, -1, -1, 335728828, 74872666, 258155674, -1, -1, 397128000, 97524688, 332305839, 786061449, 810069943, 379074028, 762825503, 314863483, 856050075, 828218891, 758956654, 803823005, -1, 641140902, 519549667, 391057551, 543387851, 104779392, 133828855, 970651045, 383312305, 240234059, -1, -1, -1, -1, 186652179, 305824981, -1, 715330676, 447545992, 214873558, 929921664, 977002033, -1, -1, -1, 375103326, -1, -1, 854763256, 487848374, -1, 610057231, -1, 639673390, 225527368, -1, 125010568, 515865911, -1, 781089358, 63257052, -1, 889740900, 660639040, 558571222, 509076993, 990792626, 768467321, 450871805, 698661636, 717272878, 673184643, 68855286, 762255513, 29906646, 970062786, 228920438, 127981714, -1, 513367258, 798363953, -1, -1, 383816727, 36392707, -1, 854219415, -1, -1, 819736554, 144574394, 262326326, 762049396, -1, 823961766, -1, 392975770, 955427650, 188426322, -1, 330245438, -1, 642336328, 102437090, 976651534, -1, 264620538, -1, -1, 583547060, -1, -1, 431204554, 348371404, 177207351, 448870641, 383094470, -1, -1, -1, 464045589, -1, 69032044, -1, -1, 683570686, -1, -1, 34811082, -1, 95210946, -1, 327883322, 435295999, -1, 990305097, -1, 17520159, 90850432, -1, 602775922, 415680469, 518476744, 44649241, -1, 83911392, 11068685, 231350094, -1, -1, 748369518, 242388825, -1, 941783818, 538024547, -1, -1, -1, 820963336, -1, -1, 444788424, -1, -1, -1, -1, -1, 310902844, 763702153, -1, -1, 328006633, -1, -1, -1, 482301277, 264253898, 22519245, -1, 802579768, -1, 40083841, 330243738, 828682793, 68991807, 187160908, 974182230, 693074457, 709484130, 442473248, -1, 48836908, -1, 900349403, 882736305, 512636490, 960147919, 814874183, 926684789, 854328312, -1, 740266000, 484352732, 983665563, 369388555, 514125157, 1818001, -1, 205354219, 517798253, 510812978, 442183622, 708204674, 939959317, 522273959, 937658858, -1, 752256424, -1, 778068105, 478325262, 823848687, 399690296, 252484448, 215848588, 169050823, 937470796, 96646090, 656673638, -1, 591303016, 574352266, -1, 31442788, -1, 464568506, -1, -1, 374192724, -1, 31681908, -1, 99236312, -1, 521473501, 391285446, 206099244, 496962433, 635806740, -1, 418172477, 525857530, 87605242, 887037545, 184594259, 292939429, -1, -1, 242543375, -1, 188813344, -1, -1, 872668347, -1, 425562879, -1, 818784348, 442986177, -1, 104896521, 258797054, -1, 567858412, 963295623, 487422834, 666812317, -1, -1, 760920936, -1, -1, 569218474, -1, 913647901, 129270351, 969499088, -1, 860512885, 543136377, -1, -1, 774282907, 960894187, -1, 957248217, 511208760, -1, 202151492, 514618657, 627325584, 385672743, 951035274, -1, 361916299, 52202892, 440125168, 218935901, 489229276, 608377762, -1, -1, 576853448, 535904383, 884623924, 784043725, 135459036, -1, 518741333, 18836176, 101393974, 843704991, -1, 609476081, 126416815, 109963378, -1, 251721006, 408894093, 991593465, -1, 627456802, -1, 338241206, 432406482, 517249116, 377696558, -1, 955460048, 203505004, 286275571, 669929710, -1, 148216796, -1, 9731582, -1, 810808162, 299886493, -1, 460721171, 428942570, 336152037, -1, 53298469, 852426551, -1, 443795382, -1, 916145732, -1, 509189206, 437885805, -1, -1, 90274985, -1, 788981194, -1, 471316029, 841438036, 479615445, 107784094, 168607760, 203462691, 793369471, 823989150, 652808538, 542102011, 944697382, 703367079, -1, 781894771, 179313560, 35092704, 567934448, -1, 867140071, 174574180, -1, -1, 718023536, 908984434, -1, 707540117, 580995467, 961627475, 637866580, 433772691, 554009073, 333355766, -1, -1, 252035588, 143694550, 146406693, 421796959, 229142127, -1, 22132851, 414618612, -1, 617335124, 100090063, -1, 704226450, -1, -1, 923016773, 670291730, -1, 706934577, 493085267, 828447465, 333294268, -1, 545369954, 864650891, 52235826, 554375761, -1, 876432978, 732921202, 690236699, 963088197, -1, 152229877, 834170596, 990069043, -1, -1, 851303778, 653934444, -1, 728051889, 229806057, 218572321, 346930838, 219782280, 511056109, -1, -1, -1, 983473196, 967783691, 421847479, -1, 873679382, -1, -1, 320865402, 766022807, 94863796, 574677297, -1, -1, 131564715, -1, 624999, 993963260, -1, 136414530, -1, 414480958, 937954272, 201440323, 327461463, -1, 340102914, 725579968, 400953177, 818118495, 807760406, 175884081, -1, 150764364, 522526799, 69353399, 605537811, 405888846, 210530858, 989803959, -1, 477820378, 938779517, 836856467, 960909447, 470615030, -1, -1, 795200741, -1, 884861809, 583361773, 653374827, -1, 847307451, 214230625, 943877008, -1, 699473884, 477870879, 361774745, 989309188, 122005197, 514007746, 699531416, 87694323, -1, 752019033, 772356685, 569595496, -1, -1, 1204072, 491136853, -1, -1, 992889188, 580238704, -1, -1, -1, 575719395, 637679511, 340324274, 911072992, 72563390, 830762141, -1, 756530285, -1, -1, 714885869, -1, 210059535, 712532561, 559015157, 211380324, 524570888, 85324359, 381447743, 922430759, -1, 989185649, -1, 962204813, 301344136, 32854693, 333743041, 5683383, 235153736, 16514782, 622987473, 56073663, 646624788, 944900721, 648613437, 513577513, 100247584, 256369634, 797058650, -1, -1, 146462367, 387425580, 144119122, 132097809, 414049089, 244830272, -1, 899626350, -1, 610127174, -1, -1, 840775839, -1, -1, -1, 573101682, 477575132, 909089752, -1, 809629423, -1, -1, 445413517, 572174755, -1, -1, 967461540, 471340121, -1, -1, 417036402, -1, 643469299, 617194921, -1, 398615358, 898307674, 562642889, -1, 346483385, -1, 14532201, -1, 252475897, -1, -1, -1, 395498581, 789599053, 760988177, 292374920, -1, 676476382, -1, -1, 238956019, 155254583, 335454783, -1, 258516101, 318969451, 35695804, -1, 857871986, 294922306, 638184218, 533444092, 220859312, 715082234, 996857045, -1, -1, -1, 714080338, 357220187, -1, 159676883, -1, -1, 102840381, 527719163, 436709982, -1, 366173182, -1, 702862296, 414365053, -1, 476035535, 621204286, 782778283, -1, 647305111, 562224724, 313414556, 145709653, 540906013, 930395039, -1, 152931940, 777102462, 243662468, 75401279, 826151118, -1, 672383187, 594138330, 362973839, -1, -1, 188318369, 632725771, 666204083, 22086998, 354259880, 575594601, 532925530, 253470359, -1, -1, -1, 78938174, -1, 49515038, 540648085, 733045601, 156607957, 793483965, -1, -1, 782205415, 280908626, 969558548, 309437091, 528599420, 805330836, -1, 516289367, 527485462, -1, 504003650, 700279786, 974725973, 596893788, 164177119, 443506613, 221859650, -1, 434334082, -1, 307544394, 676088516, -1, 220972457, 40147261, 719590054, 580237011, 23383423, 446342163, 912545693, 210358714, 680488791, 783363911, -1, 634145541, 290240813, 262193404, 775387499, 81782227, 755570087, 989875302, 595555125, -1, 422078591, 30297021, -1, -1, 236121381, 714795163, 542820084, -1, -1, 136480330, 624094324, -1, 466910665, -1, -1, 484656070, 760837769, 999713532, -1, -1, -1, -1, 326935788, 722063985, 731677395, 885785433, 212973387, -1, 540327536, 449260065, -1, -1, -1, -1, -1, 789117188, 608787757, -1, 880369945, -1, 961843206, 473029634, 398552721, -1, 239482481, 490497337, 172615983, 856051768, 942170765, 849090575, -1, 202547931, -1, 880009157, 655519947, -1, 132148963, 133124991, 498565956, 75055234, 156547111, 314273222, 222174819, 561055829, 927279024, 975039522, 433155168, 875510356, 638354338, -1, -1, 754680672, 95791942, -1, 526902662, 124412927, 236938121, 947066097, 508195303, -1, 579908594, 69910152, 375061754, 470692030, 548061509, -1, 609103800, -1, 357312334, -1, -1, -1, 832765906, 82261186, 511537401, 509816478, -1, 413031788, 616444420, 213775437, 713481824, 186074810, 728425974, 757898739, 104624609, 975062478, -1, 761783711, 829508902, 721939599, 566566768, 38086838, 184245419, 269071341, -1, -1, 902012247, -1, 275467783, 863177973, 451575888, 97658803, 301357299, -1, 548064371, 793570648, 831515454, -1, 432998737, -1, 945201471, 291344071, 20662745, 855615925, 172579667, 796860374, 48568770, -1, -1, 201235872, -1, 388760815, 962960760, 124486070, 951521769, 714819599, 144308239, 662128626, 66884717, 320545617, 421547089, 216737123, 546156022, 465083985, 963696895, -1, 631010763, 912596446, 13650428, 344412357, 38160045, -1, -1, -1, -1, 752576739, 158881258, -1, -1, 429709642, 333282389, 570998893, 111085489, 349092403, -1, -1, 358963152, 399992237, 222143247, 851525913, 508452041, 778674864, 804388764, 466182960, 200095015, -1, 501746974, 364044578, 100820797, -1, 876096184, -1, -1, -1, -1, -1, 796562955, 431907696, 86228533, 478318904, -1, 620601805, 315607704, -1, 19750276, 503700534, 618679156, -1, 210678055, -1, 314862612, 483777064, -1, 661490542, -1, 639727756, 961330220, -1, 855416597, 210523026, -1, -1, -1, -1, 891207234, 299455636, -1, 329269751, 33525804, 500900151, -1, 149372592, 896118424, 406226900, 746965067, 57643764, -1, 436065601, 57049072, 958641794, 473137520, 849509742, -1, 721090630, 879534992, -1, 529545801, 480987780, -1, 694405589, 101693535, 986614299, -1, 282777096, 790124918, 764090928, 117166892, 303950456, 595119028, 956056396, 830346496, 9636845, 139139859, -1, 298363219, 310231505, -1, 151289282, 909003148, 667237883, 725220631, 36781638, 487168372, 449111914, -1, 903306425, 848050300, -1, 923118125, 765269581, 810558494, 238452899, 331783063, -1, -1, 577026949, -1, -1, 870224413, 914033941, 915368157, 683352467, 237849682, -1, -1, 899471169, 154595748, -1, 111045587, -1, 914105167, -1, 311644723, -1, -1, 501186012, -1, 163173665, -1, 359949183, 230993877, 235090083, -1, 86853401, 252059475, -1, -1, 923849696, -1, 221623633, 980276033, 960618040, 142943501, 947162952, -1, 242048452, 156920698, 263436700, -1, -1, -1, -1, 87649841, 948051858, 497135776, 221191378, 326828086, 359112613, 739551769, 710574334, -1, 630233633, 941919042, 156311069, -1, 833274238, -1, 348467422, 777166004, -1, -1, -1, -1, -1, 841900649, 858691056, 55898034, 138128406, 576023749, 513798090, 164257851, -1, 280692153, 732092536, -1, -1, 548050109, 436643661, 436043444, 742262487, 788572288, -1, 330998864, 958942856, -1, 379252368, 927718665, 931590772, -1, 388158875, -1, 804895503, 259503143, -1, 655315620, -1, 46168514, 191322345, -1, 564498289, 711810612, -1, 486777969, 679425490, -1, -1, -1, 479682094, 60988522, 265124598, 217012704, 363560302, -1, 373526081, 615206890, 410322813, 866954466, -1, -1, -1, -1, 909423359, 103216021, -1, -1, 571009274, -1, -1, 781649894, 55836530, 474274987, -1, 858794217, 852329023, -1, 825141301, -1, 865572654, -1, 321491111, 732281268, 85077193, 600441976, 723826507, 330205101, 419999454, 148021654, 480247335, -1, 975361214, 791086717, 703266825, 699260708, -1, 307535453, 35968701, 343657582, -1, 617860496, 174625851, 515971473, 567496641, 422588279, 22437751, 41161261, -1, 100996276, 358192551, -1, 190798571, 777745014, 734573551, 393798303, -1, 89462958, 348645526, 152622319, -1, 452047737, -1, 151602681, 482537484, 503043092, 468037229, 499695464, 308778692, 931158889, 848536183, -1, 230782584, 476801988, 279002607, -1, 997094473, -1, -1, 939517288, -1, 679558665, 515398063, -1, -1, 966159045, 29763025, 971859570, 287943582, 397695196, 22173664, 684952872, 701180685, 665427523, -1, 590789128, -1, -1, -1, 448023789, -1, 975935449, -1, 205590188, 611382273, 715688117, 496377580, -1, 550351094, -1, 60731397, -1, 218266928, -1, 196957934, 463829049, -1, 582873802, 313751635, 955297867, 902397983, 252818457, -1, 440604786, -1, 776367663, 385355548, -1, 268930489, 959638383, 2402597, -1, 415571377, -1, 293029571, 990608529, 223602581, 797910679, 57167434, 269438438, 165203742, 304324859, 404797447, -1, 53200443, -1, -1, 169115737, 34078351, 660833183, 653702635, 455684817, 733925586, 548329159, -1, 175799731, 11594892, 875686711, 315491534, 317505831, 815931344, 647727648, 642983188, -1, 841565019, 168209835, 576436972, 821971303, 114952911, 132333260, 456873377, 234942664, 212281575, 927546940, 513644395, 357405684, 207773150, 12787977, -1, 159599272, 155026659, 465760028, -1, -1, 397015453, 20734690, 135148806, -1, 368515142, -1, 488700114, -1, 557099405, -1, 573933339, 12903914, -1, 237500343, 396218618, 616152907, 958630540, -1, -1, 677899645, -1, 384287284, 436215411, -1, -1, -1, 420960458, 536892880, 833890577, -1, 33571813, -1, -1, 976719172, -1, 992493825, -1, 578175355, 679407799, 536369276, 416346689, 747765829, -1, -1, -1, -1, 346401006, -1, -1, -1, 91010329, 161759431, -1, 724424166, 895002786, -1, 764207733, 616677282, -1, 732025744, 80100077, 996722032, 348026445, 382647431, 165531094, 19870663, 738682333, 151871930, -1, 967857391, 677885723, 606770832, 727386318, 665311893, 317010991, -1, -1, 490406902, 652916971, 636232667, 904384717, 383822281, 547133022, 611842063, 447349400, -1, -1, 930013350, -1, 176388931, 79918008, 435177812, 140848696, 566579088, 726750, -1, -1, 394807724, -1, 470863193, -1, 347174414, 573490412, 431673092, 62889559, 279372555, -1, 71330879, 549950628, 196931264, -1, -1, 757065241, -1, -1, 376154857, 691627504, 756226024, 102978789, 550955624, -1, 689307037, 11132756, 84014559, -1, -1, 353640637, -1, 964602996, 604665359, 360628969, 680081391, -1, 909794247, 478923976, 807992086, 262623540, 640076445, -1, 319030598, 105061422, 130855241, 868749574, 376123489, 256730194, 726730461, 509500195, 972695974, 74332620, 541050659, 476327757, 379010459, 989263440, 164766567, -1, 313122437, -1, 883617098, 909725026, 693132226, 190496941, 116422785, 181664225, -1, -1, 692532555, -1, 926330692, 72518042, 538553886, 752506818, 210160952, 11715276, 948030148, 433313667, -1, 177896321, 47363031, 732656753, 736817142, -1, 441708365, 11326203, -1, 829727709, -1, 105998380, 36198900, -1, 720027817, 491276427, 431883727, 614160083, 482272307, 179498011, 168055348, 217224791, 581616272, 814817859, 973428212, 107148739, 49654168, 93529094, 656620727, 581705281, 953680017, 92662603, -1, -1, 314768248, 964063142, -1, 828968510, 927239912, 998041950, 293676590, 342855239, 959664470, 907478171, 813531963, -1, 410920479, 715924178, -1, 382106272, 614349809, -1, 498482666, 916231279, 752557505, 555358107, 460789216, 803311366, 393135785, 351897605, 933075316, 585564070, 361587846, 544962482, 293151654, -1, 459546958, 314967988, 453552690, 811866909, 66984703, 780632541, 571419124, 24805109, 60559674, -1, 17644805, 438762782, -1, -1, 921831529, -1, -1, 117614250, 815311599, 703974311, 730227459, 366503205, 166269973, -1, 774515772, -1, 873367188, 305741488, 344650009, 708780991, 365087175, -1, -1, 247328049, 943361149, 357236026, 333111944, 96311428, -1, -1, 315509674, 505796460, 850396517, 741551044, 126606258, -1, 532212372, 544234496, 555988501, 469381391, 829358935, 104001760, 135054481, 49024593, 803522591, 948048308, 809780268, 852502698, 414319482, -1, 406971330, 323926842, -1, -1, -1, 345895292, 43798026, 199511218, -1, 470315164, 724628182, 284124216, 217907411, 761392136, -1, 154715505, 95954370, 318678355, 930981833, -1, -1, 798797248, 472545544, -1, 63343184, -1, 261223270, 831782003, -1, 283471508, -1, 973047236, 203984703, 959738182, 235713683, 840146140, 346013293, 664814409, -1, 214450055, 728929459, 181289027, -1, -1, 543263155, 826074948, 45311795, -1, -1, 975376979, 900016996, 244389267, -1, 301419260, 488546157, 668452403, -1, -1, 761028802, 336903746, 196522139, 836899825, -1, 383058778, 424522686, 851880600, 283877390, 998199246, 389474430, 427777180, 35078829, -1, 379809365, 694289681, -1, 637656636, 173183154, 39106706, 915022047, 785964213, -1, 149379543, 937281779, 907561214, 819013986, 115793185, 714375476, 638661558, 549272395, 923046012, -1, 611769127, -1, 793379088, 494127803, 249826494, 983635089, -1, 981357533, 793895049, 31547602, 754205415, 111770460, -1, 68437038, -1, 719627285, -1, -1, 258657080, -1, 42217851, 61113437, 459712165, 753806710, 236635607, 869847048, 35485490, -1, 343083153, -1, 32568538, 117173614, 576997475, 565703399, 663434712, 918167300, -1, 725872709, 316347222, -1, -1, -1, 249498249, 15987357, 199334142, 636140180, -1, 158788428, 938602779, 392929902, -1, 767623927, -1, 718627848, -1, 327113188, 799646578, 966063931, 917772916, 358708260, 81454290, 994023158, 471411778, -1, -1, 336485567, -1, 258833118, -1, 517063434, 183109261, -1, 965051877, 987468884, 365928574, 790454425, -1, 895870628, 270395280, 641450533, 706927328, -1, 180559900, -1, 579178732, 715843851, 789478242, 833176347, -1, 539397206, 399122231, -1, 740447865, 275834596, -1, 573766499, 177219991, -1, 648065887, 84751113, 504051473, -1, 982654122, 814641973, 658418026, -1, -1, -1, -1, -1, 691640425, 572072805, -1, 516111604, 771052976, 489469242, 285468488, 805569981, 469417703, 214983802, 65125434, 539238818, 528179553, 730232054, 297826904, 11403463, 924241522, 294587492, -1, 183185126, -1, -1, 563749251, 549732518, 331746246, 795564020, 463510702, 417207276, 123021049, 518421448, -1, 170910104, 836662477, -1, 642263798, 823281579, -1, -1, 130586395, 402460130, -1, 610136396, 129779750, 184072906, -1, 955609035, 287882966, -1, -1, -1, 436375558, -1, 369967484, 905747184, 101701414, 775724766, 674456643, 303355984, 909485600, 17945742, -1, 180008598, 373114698, 614258979, 23611627, 136863489, 204105867, 13752607, 420255548, 375142625, -1, 995046286, 142567558, 87527327, 955276185, 62296199, 665154127, 717941214, 160713875, 34982518, 673315803, 530714115, 80580964, 109722800, 259944457, 74410586, 892577358, 45074023, 674922011, 305471701, -1, 35393698, 526752000, 993428875, 19350063, -1, -1, 266392230, 960258404, -1, 946370392, 689620560, 884619724, -1, -1, -1, 809080529, 488805189, 312418008, -1, -1, 653144856, -1, 652517992, 344180789, 621604594, 745461109, 513715035, -1, -1, 783494548, -1, 319044730, -1, 949421992, 77808725, 112694496, 652432539, 131146416, 101776576, 222223743, -1, 893024941, 167400175, 557068719, 845937955, -1, -1, 965260186, -1, 681871872, 622593700, -1, 415149637, 839064823, 470562451, 231830820, 708571883, -1, 885566215, -1, 588778674, 412731316, -1, -1, 334350499, 286562219, 953374483, -1, 788669638, 994596688, 266860870, 868859387, 524735593, -1, 701147774, 678491714, 849730137, -1, -1, 221284096, 601733408, 357757465, 342147689, 543737951, 720742997, 200099998, -1, 771682764, 424658003, 395080572, -1, -1, 136637775, 320607288, 543674552, -1, 553603662, 338596723, 496297679, 883726468, 195612482, 558170219, 41274828, -1, -1, -1, 599596198, -1, 397415266, 919141175, 596435385, 698591141, -1, 996742298, 979603319, -1, 589961851, 746101910, 465335397, 780940040, -1, -1, 709332311, -1, 574758026, 217982766, 179395991, 99468575, 880092676, -1, -1, 650915363, -1, -1, -1, 40969454, 564347220, -1, -1, 892241723, 401878077, 377738553, 760127519, 227222618, 935372649, 944811451, 972810606, 452253539, 884781240, 928814192, -1, 869167345, -1, -1, 270768130, 973988712, -1, 266845158, -1, 507899916, -1, -1, -1, -1, 899787103, -1, 425862928, 52551711, -1, 464723523, 505011995, 171344016, -1, 340003450, 13907317, -1, 866933850, -1, -1, 420520968, -1, 2560670, -1, -1, 2847679, 616746491, 239581294, 699891813, -1, 932528729, 12233671, -1, 479936933, 914801997, 727029496, -1, 2658247, 215080197, 333125682, 644247156, -1, 318532072, 798227891, 136674014, 418512271, 733065898, 539406421, -1, 92866657, -1, 441604300, 125686214, -1, 121614269, 763606018, 463917458, 414404036, 904822732, 460783497, 23469170, -1, 949942059, 705650285, 831905098, 973499702, 198902138, 172268249, 129470879, 148055235, 616670813, -1, -1, -1, -1, 77708108, 853252823, 397286422, 988313564, -1, 851231227, -1, 214849480, 119567896, -1, 818490735, 976166944, 104684356, -1, -1, 65435890, -1, 739267231, 199726197, 803235959, 67891275, 71310758, 992855130, 645365749, 476851913, 599707777, -1, -1, 438824608, 785263960, 468571052, 328042818, 968811841, 29683472, -1, 855817029, 4076795, 136559342, 352520303, 364072221, 813208040, -1, 905673492, -1, 179812158, 661909458, 989841307, 615330714, -1, 226846271, -1, -1, 770843887, 615769369, 387564987, 283896373, 13180422, 721977869, -1, 716266139, -1, 212441153, 957762723, 189325886, 276195961, 379184081, 598696831, 703387357, 464397275, 524164896, 426185752, -1, 962447817, 973376912, 620813662, -1, -1, 921490818, 964869648, 294664972, 487929947, 671257417, -1, 604687540, 220646951, 513314477, 867824788, 450841896, 426787923, 776047410, -1, 609758464, 55006126, -1, 200119675, 961322741, -1, -1, -1, 495647929, 660077897, 548785186, 637410043, -1, 427311666, 946053263, 500634114, 836909233, -1, 141062005, -1, 458897617, 793993165, -1, -1, 924430174, 630275313, -1, 816950441, 616836447, 588648831, 479562466, 635063005, 675633875, 651903024, 56770507, 728421482, 542963804, 329716407, 442411146, 225531761, -1, -1, 649432838, -1, 881916178, 408579770, 924867747, 917823908, -1, 699692450, 761058126, 720148579, -1, 238459529, -1, 60722197, 588781620, 961848642, 88341404, -1, 106444614, 365411445, -1, -1, 418105224, 783419613, -1, -1, 459952185, 391580821, -1, 143678212, 46388921, -1, 546496995, 281335530, 352565748, -1, -1, -1, 809279680, 975144111, 660869928, -1, 501426252, 180622501, 899861662, 129330283, 768890439, 271197568, 755350351, -1, 673944280, 871230670, -1, 454459962, 392775228, 266832694, 50508872, 683325357, -1, 3434662, 362762148, -1, -1, 615395946, 856194265, 257551664, 283507987, -1, 337893260, 959019328, -1, 245278580, 743273804, -1, 915466190, -1, 695766682, 664129600, 239304247, 696234569, -1, 37760915, -1, -1, -1, 98147915, 838378718, 492463381, 795658518, 174824856, 798183615, 925684743, 473959603, -1, -1, 865742531, 395645586, 443956075, 194645193, 300192727, 453681623, 867229610, 439229915, -1, 15925224, 583969239, 394594858, 636529750, -1, 841015194, -1, 71474818, -1, -1, -1, -1, 916346163, -1, 160980498, 673076391, 986572805, 396151178, 739834686, 717380206, 132921910, -1, 166013748, -1, 330044949, -1, 259033468, -1, 593444963, 924387810, -1, -1, -1, -1, -1, 393586316, -1, 503454893, -1, 479332771, -1, 560588126, 855087974, 166483859, -1, -1, 271223292, 511312242, 353731065, -1, 302477862, 284749451, 57911036, 103451484, 914371972, 231264432, -1, 134992474, 904182957, -1, 282998358, 442418952, 990506579, 547793181, 977261069, 859443284, 594445165, -1, 486002454, -1, -1, 969106597, 725332131, 186465772, 135355846, -1, 242587042, -1, 410516686, -1, 163209863, -1, -1, 963486314, -1, 95800022, 320237105, 648011269, 721526133, 271483567, -1, 460502706, 863384959, 570107752, 863469771, 286122895, 199599165, -1, -1, 207705566, -1, -1, 579591913, 198862000, -1, 992430976, -1, 874848612, 327661220, 964959607, 558866043, 6381072, -1, 586544822, 862737380, 537212758, -1, 135147462, 84685437, 356416666, 929320266, -1, 766028759, 825824674, -1, -1, 910737828, 813799000, -1, 644721340, 714690750, 866923100, -1, -1, -1, -1, 720262418, 547770147, 548432215, 532889880, 924747911, 629737137, 111279075, -1, 996517632, 798903851, -1, 347026701, 448076107, 672414389, -1, -1, -1, 429648178, 236414062, 853583949, 433328943, 176860448, 529772378, 546351028, 900993311, -1, -1, 513327706, -1, -1, 328164274, 86806447, 898117970, 13084453, -1, 96396993, 559614040, 723451845, 53152905, 554985324, 638402014, -1, 997335800, 396860341, 961970869, 739584711, 223479396, 177441532, 568340681, -1, -1, 541316835, 636908377, 889585850, 733546377, -1, 688233527, 284211303, 601725512, 572713117, 346442042, -1, 736138397, 262193597, 508114236, 194123875, -1, 322093627, 397140038, 454966238, 92308386, 784232673, 233007847, -1, 574425176, 649529509, 256476395, 279461485, 993728165, 42403635, -1, 262266421, 327655115, 647824798, 631614567, 937741060, 307072839, 268073252, 353977923, 330201475, 706674057, 301326402, 585691610, -1, 201346226, -1, 554601036, -1, 180800536, -1, -1, -1, -1, 957895926, 520061999, 109918456, 758342725, 714890552, 2855972, 940567035, 933569853, -1, -1, 987149559, 320252545, 72175263, -1, 471567547, 126568514, 72480627, 528978710, 857129681, 542937148, 948225189, 435564629, 755483404, -1, 13295335, 369044166, 32608660, -1, -1, 207412425, 299413057, 370683703, 528881712, -1, -1, -1, 693115869, 744240742, 212015734, 377691022, -1, 503631203, 469345176, 58986756, 168512088, -1, 317920206, -1, 715345734, 271825514, 85799490, 945791367, 286474416, -1, -1, -1, 838944289, 70508284, 742434827, 371914245, 255503264, 375495590, 954416240, -1, 338750478, 601873197, -1, 305889461, 371470167, 200469243, -1, 909403001, 537198607, -1, 360896623, 566820429, -1, -1, 497767100, 800032583, 437110914, -1, 634207371, -1, 414928713, 941967633, -1, 359592404, -1, -1, 482254727, -1, -1, 584553654, 299637216, -1, -1, -1, 922166509, -1, -1, -1, 706905686, -1, 633381205, 970120677, -1, 76278088, -1, 301471928, 97208319, 725160644, 107721573, 423736832, 542237611, 622695544, -1, 605482946, 238091505, 70123597, 184589222, 108092512, 897907849, 969641691, 278899697, 77666625, 468414196, 583973358, 629146337, -1, 775540066, 223236673, -1, -1, 251382647, 856652306, -1, -1, -1, 101698235, -1, 713506751, 661550112, 816119092, 296314339, 684765966, -1, -1, 576828685, -1, -1, -1, -1, 626267793, 143919398, 728059818, 774529465, 334328700, 191045149, 979466215, -1, 370531307, 779121476, 324356569, 552136241, -1, 292150360, 764334971, 943124255, 924930887, 643342464, 782978492, 318760004, 808779528, 848825867, 4012601, 449993090, -1, 198974833, 117459539, 934926694, 779658942, 216122150, -1, -1, -1, 945410192, 30402577, -1, -1, 731280901, -1, 707713347, 718167577, -1, 268575360, -1, -1, -1, 343096822, 719366153, -1, 626147193, 451193434, 541153336, -1, 836722053, -1, -1, 455223161, -1, 473404210, -1, 583289816, -1, 945530787, 495351917, 151018373, -1, 923478210, 117561977, 218384880, 687572221, 147500427, 995315473, 258076642, 579565353, 619143882, 532783419, 944767125, -1, 486795877, -1, 978009080, 762348605, 355246229, -1, 983713573, 33429991, 187003400, 832764951, -1, 240826135, 835942948, 709593338, -1, 198892969, -1, 636152373, 737501001, 37355217, 201782154, 61436114, -1, -1, -1, -1, -1, 693760970, 710136675, 756497403, 451539851, 425102430, 942382606, 599889469, 832345689, 560660535, 107108220, 676774916, 313829003, 283332971, -1, 913743215, 799274439, 782973689, -1, 336861895, 687120341, 40101219, -1, -1, -1, 397088915, -1, -1, 131945226, 215826317, 451487901, 593522959, 163340873, -1, 945655414, -1, -1, 748462291, 334825363, 621718648, 858019633, 162337346, 264554292, -1, 272516637, -1, -1, 802430901, -1, -1, 671264601, 273804232, 8370130, 810908287, -1, 200091664, -1, 100612184, -1, 210871525, 386196771, 74933038, -1, 621082524, -1, 280430026, -1, 278606223, 310149853, 740529212, -1, 192218352, 433433766, 565600424, 900931949, 141652208, -1, -1, 718159734, -1, -1, 246025672, -1, -1, 309126142, 977535021, 649035669, 65612186, -1, 731308839, -1, -1, 738372771, 676958444, -1, -1, 492784765, -1, 776756549, -1, 709535685, 671030769, 441633214, -1, 201792177, 397769670, -1, 633097176, 361040346, 523607651, -1, -1, 314510177, -1, -1, 952138069, -1, 506745548, -1, 505857227, -1, 860106554, 316085384, -1, 329149059, 222783674, -1, -1, 900497186, -1, 694009999, -1, 79263058, -1, 226136973, 339145795, -1, 586610060, 97097201, -1, 560547940, 788044856, -1, 611341861, -1, 356574315, 297803396, -1, 303306453, 998890303, -1, -1, -1, 801023688, -1, 725702652, 237188671, 535503036, -1, 768933710, -1, 644115057, 630987112, -1, 992389050, 190284351, 973330329, 966745472, 837480920, 532772297, -1, 483668225, 405869594, 552124977, 188489353, 822464825, 607098209, -1, 109580181, -1, -1, 743435983, 461562404, 823961243, -1, 239528008, -1, 133214932, 391332553, -1, 398720653, 846421090, -1, 129637207, -1, 675946618, -1, 638260305, 419167174, -1, 903513247, 446263857, 274901609, -1, 974757445, 771022645, -1, -1, 962832777, 654077915, 712157414, -1, 164278617, 225558267, 833777552, -1, -1, 461047740, 89414482, -1, 938445979, -1, 96096560, -1, 331916146, 370932225, -1, -1, 987995759, 968772437, 686586829, 387435980, -1, 599289530, 776588888, 848728202, -1, 703175939, 49658800, 42373296, -1, 695229884, 133105395, -1, -1, -1, -1, -1, -1, 46635450, -1, 601513288, -1, -1, 782452182, -1, 409920345, -1, 36072691, 645914557, 984083868, 620868517, -1, -1, 225743763, 800309976, 567186922, 278185958, 487856434, 950382610, 153430398, 549946966, 120841514, 416330106, 44638344, 741954025, 464369407, 399797956, -1, 544460431, 346830478, 23548186, 588389182, 818471364, -1, -1, 884507850, 841217449, 9333323, 373706261, 14006913, 2259644, 417638423, -1, 735926759, -1, 970450503, -1, 328075959, 374290309, 452141415, 55946724, -1, 160186153, 575748636, 143481848, 947625971, 429695538, 708797713, 384641481, 963101471, -1, 278747725, -1, 366108092, -1, 776976938, 493903794, 430786086, 227409849, -1, 59545364, 187990668, 825460121, 602174474, 473802552, 286111732, 803532197, 948432019, 699027466, 461611987, -1, -1, 129222799, 527746129, 588532709, 320673171, 517887524, -1, 332465572, 597631577, 642043596, -1, 626449889, -1, 107411225, 249319821, 865344932, 156761927, -1, 339675017, 533094955, -1, 355332912, 583684727, 409003565, -1, -1, -1, -1, 698885810, -1, -1, 827045252, 713362056, 515567278, 368422854, -1, -1, -1, 42467428, 519301901, -1, 600197003, 586062702, -1, 343663399, 655660048, 50618488, 986447374, 805529467, 993274490, 656984477, -1, 547490024, -1, 512827441, -1, -1, 1703838, 201251182, -1, 304057867, -1, 143574689, -1, 83020104, 422644728, 117141600, 37348468, 515748978, 485382340, -1, 796552897, 421697729, -1, 712828708, 45666202, 560139759, -1, 999900020, 8700846, 406516005, 983447976, 849845265, 920787515, 174271100, -1, 253962151, 202899896, 18338885, 722954826, 669063232, 96152631, -1, 277397337, 229271998, 829578499, 559588255, 536275918, 722470635, 112665363, 853054449, -1, 289428215, -1, 245938738, -1, 699170425, 642302744, 880823554, 815914619, 19533509, 595312272, 898047017, 658907329, 469110102, -1, -1, 699459434, 308817249, -1, 887688265, -1, 248793550, 332549330, 348666130, 970636062, 868302364, 964955840, -1, -1, 73494078, 247617190, 322805775, 432443490, 400854177, 76269636, 349891017, 181336070, 207821437, 911278959, 470617014, 890964337, 625349073, -1, 115275669, 961714853, 299399635, -1, 16578360, 202439786, -1, 912444240, -1, 530970564, 580207342, 218918819, -1, -1, 6796873, 832880114, -1, 388952031, -1, 559491898, 400797205, 59861562, 856252064, 103943972, 958855488, 934248132, -1, 371474801, -1, 664755201, 789071184, 183070359, -1, 296766991, 175241651, 884097476, -1, 118982282, -1, 683382907, -1, 281091595, 785163713, 930481756, 476433860, 407381362, -1, -1, -1, 652331586, 327926464, -1, 729823513, 419502742, -1, -1, 101130750, -1, 878097698, -1, 400307021, 710682031, 135254196, 646901264, 230807043, 66622816, 525283534, -1, -1, -1, 129142680, 818783755, 234019317, 963933385, 60908394, 333339487, 392334490, 395675777, 819076239, -1, 36352515, -1, -1, 213143996, 913516255, 560800904, 975819899, 883331138, 85451251, 946274317, -1, 372301942, 405050938, 453607693, 422715353, -1, 824245940, -1, 859421409, -1, 74467039, -1, -1, -1, 714188759, 955543773, 661855096, 270158593, -1, 290526797, -1, 638992339, 699000028, 878807401, 679629962, -1, -1, 675653103, 330667577, 404257587, 311048212, 164492694, -1, -1, 702688358, 593033065, 846839566, 384626329, -1, 509729607, 451857407, -1, 490654487, 467404719, 601042407, 54210619, -1, 620035732, 909838113, 194118637, -1, 700562694, -1, -1, 401829302, 407704229, 93555389, 167926819, -1, 169285729, 552339580, 982507171, 309979829, -1, -1, 455375859, 152173071, 35106556, 704206101, 589832413, 743988302, -1, 847573014, 207269655, 496386623, 805195046, 200779247, 330196314, 117637235, -1, -1, 577605724, 835205170, 413235717, -1, -1, 742719318, 470964531, 414635751, 556610663, 343305219, 51125729, -1, 97480388, 853751585, -1, 791632847, -1, 813056034, 730947151, 312235354, -1, -1, 558743389, 626678239, 391454730, 453434803, -1, 677120197, 565128116, -1, 428994166, 658117984, 214500174, 511572813, -1, 93167379, 433102819, 84652849, 545898030, 856151784, -1, 712585397, 765237845, 347074348, 799859327, 178650195, -1, 130683960, 625954386, 821506373, 590695051, 971650070, 587985456, 549137392, 396578666, 208986670, 336732403, 228081420, 188401589, -1, 876756046, 346884472, 898903642, 620364890, -1, -1, 387212850, 830765681, 607910572, 213487871, -1, 618775089, 829930757, 15587706, 833750930, -1, -1, -1, 840166261, 212339402, 469543205, 911057457, 744961091, -1, 116415787, -1, 274264714, -1, 224953289, 466501483, 662654925, 824696043, 777304941, 320117770, 447211005, -1, 10733550, -1, -1, -1, 802825461, 954118579, 61705115, 191523492, 425043062, 358807620, 824770792, -1, 212822542, -1, -1, 284886477, -1, 906371441, 123954482, -1, 556125931, 944620523, 717108496, 788232287, 220917495, 195277862, 680513929, 362072119, 620123253, 373860079, 79382265, 948662511, -1, 809415858, 744065438, -1, -1, 692165029, 735410206, 591546321, 353985849, -1, -1, 727014089, 984899538, 786945903, 545571959, 840855769, 355533921, -1, 636653875, 738732868, 218443536, -1, 880297819, 161834665, 504427549, 554912156, 820829494, -1, 28165162, 470704349, 658152889, 608142219, -1, -1, 153665930, 365584005, 522376543, 905347229, 892623312, 980022281, 338107163, -1, 494071870, 10477951, -1, 441470715, -1, 596307150, 69744747, -1, -1, 327387232, -1, 38427427, 195335575, -1, -1, 128174640, -1, 696056687, 44973569, 720686163, 75067008, 175981964, 138486260, 617259635, 92545789, -1, 76010731, -1, 890981744, -1, 517170755, 735083283, 228712616, 983587173, -1, -1, 263387403, 971542780, -1, 390495906, 820996727, 302454961, -1, 86066154, -1, -1, -1, -1, 683078693, 693861886, 570029456, 169916168, 30521240, 313502900, 736735048, 970878698, 100224881, 624282302, 29871959, 137433209, -1, -1, 938858826, 496642922, -1, 166971965, -1, 810923665, 972344566, -1, 800388893, 385364382, -1, 480313533, 33872649, -1, 108492832, 83141432, -1, 692332553, -1, -1, -1, -1, 575451482, 163504170, -1, 759506976, 892178674, 624400267, 807307319, 87218641, -1, 412406358, 594508953, -1, 448446912, 960382799, 585733431, 752551010, 210038625, -1, 593652726, -1, -1, 866832988, -1, 690362964, 215241904, -1, -1, 155963975, -1, 166798386, -1, 541209785, -1, 138897062, -1, 409345363, 430958184, 947250974, 639489598, 803707629, -1, 624950269, 884583731, -1, 917654065, -1, 698775928, 119421367, 793917794, 619029347, 280164205, 635337241, -1, 849421742, -1, 679444669, 216241091, 914721038, 11971503, 302506594, -1, 400239321, 203689527, 779599388, 755184797, 843850063, 87947027, 305033847, 79344073, 197602709, 864311725, 874023813, 357270779, 361658476, 71876533, -1, -1, -1, -1, 633689560, 120933219, 859934457, 520476326, -1, -1, 586292099, 164081480, 960555275, 737864794, -1, 724591534, 169912119, 461861557, 2621765, 152219019, 679280525, 671837554, 324489764, 510400462, 616126104, 7154798, -1, 828690926, -1, -1, -1, 899167743, 521867777, 643927026, 909211977, 270476307, -1, 24818970, 30320246, 645751639, 195280508, 275684222, 172920068, 98259477, 225532878, -1, 774294639, -1, -1, -1, -1, 460490806, 717912399, 197040424, -1, 332172804, 865089930, 224423833, 876158705, 524292236, 38465349, 815666448, 351350956, 126849003, -1, -1, -1, 6221575, -1, 225948751, 653543546, -1, 937009371, 81410031, 335191044, 599434682, 888427144, -1, 101531917, 983657565, -1, -1, 432397391, 210197878, 999585172, 730488709, 174177256, 743875383, -1, -1, 562231164, 854132680, 727418980, 421325081, -1, 274654565, 114169410, 507915053, -1, 813091661, -1, -1, 80894041, 931764293, -1, 654608342, 205798679, 327776558, -1, -1, -1, -1, 997023538, 317616545, -1, 336642599, -1, 656816560, 306407873, 385354349, -1, 554035614, 436170063, 515544809, 863726006, 811062939, 647640320, 478959638, 554995875, 110167544, 218554015, 464608035, 758200852, -1, 509844851, -1, 82816154, 547305311, 953049089, 759065684, 404234860, 535997462, 819321833, 443679345, 517218132, -1, -1, -1, 885124334, -1, -1, 141063388, 360796753, 790601896, 509616216, 804960150, 66538063, 170003936, 328728250, 203824188, 757083417, 675748574, -1, 516065526, 604743129, 704202092, -1, -1, -1, 865935296, -1, 326063854, 624656309, 766586762, 557714752, 500047998, 538229413, 396314602, 425684199, 978876821, -1, -1, 613390501, 545036272, -1, -1, 295303834, 600891453, 388349262, -1, 54358109, -1, -1, 749570890, 443831629, 826499980, 497357206, 53196914, 565872429, 644302690, -1, -1, -1, -1, 557342837, -1, -1, 224384386, 174359880, -1, 481609147, 310089428, 544583863, -1, 291760819, 363341876, -1, 427524666, 522956045, 382714401, 928318311, 268371758, 879288743, 786845635, 671580740, -1, 601192416, 920095687, 914472037, -1, 744592218, -1, 898596067, -1, 449300007, 334277226, 922978172, -1, 824322638, 341223009, -1, -1, 996350533, 756778439, 24284802, 367658911, 961596386, -1, 434856053, -1, 605723219, 431897754, -1, -1, 970729026, 542853736, 977257504, 844972163, 612988374, -1, -1, 469445606, -1, -1, 972099770, -1, -1, 969030182, 738596814, 561895150, -1, 155873452, 888597630, -1, 925602528, 367337573, -1, -1, 400421232, 848554163, 807686667, 431856515, 520892194, 461319785, 967262737, 74787580, 612398744, -1, -1, 289819181, 448521858, 361028580, -1, 914761042, -1, 159242738, 950492876, 566835309, 240521698, 635659156, 398001994, 115229043, 204359511, 264763829, 160209775, 201197264, -1, 751003597, 453086095, -1, 12333652, -1, 892465169, -1, 133196892, 845976486, 521326041, 109518575, 768288342, 557816529, 441402837, 294816428, 685543481, -1, 942433193, 58495137, -1, 919082898, 312183720, 123088786, -1, -1, 11225410, -1, -1, 396274543, 302181020, 77932486, 708969068, 178011151, -1, -1, -1, -1, 624817901, 574919384, -1, -1, 282382003, 456573938, -1, 28565665, -1, -1, -1, -1, 680763456, -1, 58509578, 617225532, 19247150, -1, 640109933, 417866411, 103161710, 245901117, 778464071, 38277049, 67378008, 662769995, 825556008, -1, 896464894, -1, 921756635, -1, 528935858, 546073653, 868509018, 210278005, -1, 502093894, 564205865, 625116226, 721945417, -1, 864088704, 286890515, -1, 14282920, 789930032, -1, -1, -1, 851393555, 723756160, 582809718, -1, 696430950, -1, -1, -1, 686408904, 293692050, 380939056, 637996603, 134759608, 186627287, -1, 849590901, 166749636, -1, -1, -1, -1, 593205198, 350852566, 724141494, 673833429, -1, 939950425, 142184388, 859482314, 6739853, 590749458, 24987546, 847609754, 934816219, 627777054, 167363513, 668990137, -1, 214172675, -1, -1, 577028263, 951457595, -1, 776781753, 236733994, 623488490, -1, 296114573, 19604828, 762248880, -1, 756560235, -1, 993818464, 142079482, 52707799, -1, 264688145, 984582209, 392668334, 126866481, 400215567, 848069182, -1, 206482143, 696578179, -1, 841329955, 196126347, 644216000, 949480448, 998479068, 811085600, -1, -1, 563779560, 306131415, 501329593, -1, 669637360, 25779075, 295448539, 565940764, -1, 886421697, 797502615, 433912283, 624853122, -1, 166607146, 84078041, 480677969, 97420566, -1, 340956925, 284447280, 709540345, 55060099, 379266645, 143036264, 511369013, 479407631, 59597791, 712103670, 844487009, 392358555, -1, 662326723, 49724964, 533273277, 168324819, -1, 151006043, -1, 275467164, 358213544, 183961196, -1, 193945635, -1, 259849980, 379757862, -1, -1, 724055984, 792141479, 686666705, 619907557, -1, 684866394, -1, 636558050, 595342173, 832845729, 956020995, -1, 331937030, -1, 322808546, 165929260, 57233158, -1, 33588592, -1, 356812225, -1, 367252202, 372072543, 49369484, -1, 229931995, -1, 900190585, -1, 523053296, 436887927, 212883795, -1, -1, 750315005, 160153154, -1, 734208433, 853326374, 916456664, -1, 54503077, 878423693, 986976178, 786069204, 365591211, -1, 733542182, -1, 142657690, -1, 134682495, 158019554, -1, -1, 993729234, -1, 555855212, 465746306, 689473891, 968360537, -1, -1, 339130596, 175262424, 595519543, 218448448, -1, 267229178, 919610628, 724744069, -1, -1, -1, 892055053, 744037344, -1, -1, 843175385, 369400817, -1, 618880217, 768049258, 422100206, -1, 632537943, 613789323, 101663443, 797804368, 594887765, 512827767, -1, 578715180, 424864579, 934940146, 550482916, 564552698, 355843808, 313765680, 966328909, 403574411, -1, 108657695, -1, 22097391, 189429939, 786413669, -1, 281166213, 783524533, 140701111, 689150231, 563993271, 269346340, 89523573, 298359924, 495410011, 22946019, 77483426, 931702890, 457430368, 595131523, -1, -1, 34445370, -1, 935440403, 865156926, -1, 284775756, 450417628, 274763628, -1, -1, 680822394, 139578493, 467000628, 331948796, -1, -1, 904923276, -1, 483359997, 588882190, -1, 3713684, -1, -1, 625409909, 302431326, -1, 540563568, -1, 685997528, 724176203, 867393668, 228972131, 905833535, 461012903, 330738945, -1, 594315807, 705093493, -1, 589807720, -1, 671455142, 647283182, -1, 253212995, 771325789, 288726210, 932419671, 10903196, -1, 926873602, 115584314, 926381629, 142092348, 148262568, 202647826, -1, 311119961, 337531416, 93317057, 616315042, -1, -1, 8955423, -1, 476315935, 572097554, 545314147, 619058186, 269387110, 913585419, 867122456, 110362837, 316722051, -1, 660723445, 609429134, 402072884, 607581340, 473062145, -1, 532787270, 123453533, 722006222, 175388435, -1, 207974501, 710431815, 589030259, 220765304, 646895190, 861241061, 454569510, 638191774, -1, 882987801, -1, 392978715, 993978995, -1, -1, 70756201, -1, 515721465, 849685786, 77931296, -1, 7368392, -1, 811334157, -1, 186888299, 663183151, -1, 555958349, -1, 102744218, 370564336, 824599146, 956517862, -1, -1, 37907550, 642662881, 860881360, 942714590, -1, -1, -1, 204587772, -1, 222224722, 477710560, -1, 967733937, 971556624, 180019481, -1, 271735358, 364841176, 785177194, -1, 528407079, -1, 352833793, -1, 239610546, 961044999, 465160544, -1, 478460466, 307878202, 300807134, 306729060, -1, 278571129, 972444164, 707844249, 475113123, 529995197, 727982349, 412544133, -1, -1, -1, 794832756, -1, 719135538, 179550285, 850911695, 74599487, -1, 371287063, 26113039, 492169367, -1, 208609468, 819786669, 413461051, 700740207, 627328041, -1, 674274686, 946786988, 943011336, 996879656, 44303869, 958345643, -1, 469123433, 72552664, 545726079, 97350761, -1, -1, -1, 67176892, 683467340, 186078028, 384138036, 869189804, 453595426, 868214979, 274108014, 729438376, 137775770, -1, -1, -1, 154759140, 994230191, -1, 943007684, 331248308, 799671162, 888001088, -1, 229325976, -1, 879563215, 291647564, 683146989, 849428047, 60948779, 563510460, 528406199, 881078814, 612773768, 4665318, 177082464, -1, -1, 21424014, -1, 890699241, 483451339, -1, 770137379, -1, -1, -1, 729743101, 644386503, 226015246, 619266804, 503509373, 14272527, 917218305, -1, 456649810, 735328881, -1, 565751169, 302928294, 801564585, 806378277, 364774707, -1, 42090261, 629024678, -1, 698411763, 809628207, 694009463, -1, 485520662, -1, 932663309, 997983353, 324192751, 246806822, 335630638, 248710273, 360283636, -1, -1, 242811355, -1, -1, -1, -1, -1, 860297521, 409726797, -1, 24689259, 675926714, 244844887, -1, -1, -1, 534981046, 128578758, 990927500, 594394665, -1, -1, 400628933, 215275708, -1, -1, 913047037, 746411232, -1, 943292407, 867126021, 36571773, 975410385, -1, 732272990, 195005935, 33685337, -1, 874526813, 8664528, -1, 251009265, -1, 369844324, 270761413, 7609538, 184522681, 401702176, -1, -1, 296145970, 452155045, 509353215, 676255361, 365769763, -1, -1, 61300781, 606462429, 341794081, 207474251, 531317160, -1, -1, 384800359, -1, 848918555, 965129234, 861740034, 302969223, -1, -1, 684563616, -1, 203130220, 131646304, 31761768, -1, 624731099, 183837965, 797371859, 641767688, 105716895, 392267008, 956804493, -1, 339840882, -1, 979242210, -1, 170765779, 575846708, -1, 106683991, 427544308, -1, -1, 446568428, 487191533, -1, 93677016, 758000734, 919680627, 414883453, -1, -1, 983868606, 657639145, 876179731, -1, 954001093, 307043498, 327653981, -1, 242326595, 339974329, -1, -1, 999021929, 98411088, 839779314, 555105687, 391383628, 82927353, 689222439, -1, 876275883, 130902343, 542901775, 996878290, 197285804, 788842414, -1, -1, 236487477, 324106646, -1, 282826518, 189229341, 951236357, 642592046, -1, 313364223, -1, -1, -1, 183263125, -1, 927893627, -1, -1, -1, 148777016, 374716053, -1, 173369689, 156646515, 877974038, -1, 452020694, 351633555, 509044187, -1, 153331293, 399797334, 79029734, 703282650, 450360616, 176622947, 78195022, 864531520, -1, 492408066, 410138218, 792997904, -1, 560124971, -1, 191315542, -1, 560971034, 673136861, 416336143, 45840630, 813174390, 682016080, -1, 385279350, 173912468, 371164193, -1, 364940861, 267529378, 674497295, 609198650, -1, -1, 320287452, 139250321, -1, 451117131, 596454095, 628609834, 783023019, -1, 377324330, 440737983, 41174342, 943175014, -1, -1, 80507975, 655172252, -1, 670838650, 604243101, 586483048, 544867176, 901224296, -1, -1, -1, 333046893, 393734304, 703070730, 546127026, 140930389, 429936948, 561582689, 5446193, 611502691, 330564197, 218078680, 839250535, 501380097, -1, 17631050, 80818945, 390073302, 776611322, 995498808, -1, 101969630, 267482305, 53611377, 165412893, -1, -1, 229834046, 723406870, -1, 811173355, 667602792, 342233400, 421190815, -1, 55847556, 968316580, 807963742, 507287344, 176699438, 608533809, -1, 16390333, 166435738, -1, 751895064, 664651290, 833367307, -1, 545367310, -1, 474316605, 70891386, 813915801, 735864863, 664469844, 743841710, 918426184, 656710135, 439361620, -1, 599238254, 21405018, 880145306, 838701981, 897529102, 534248334, 513238170, -1, 534296900, -1, 874689324, -1, -1, 180781132, 839171163, 267529363, 914332455, 486309264, 347311029, -1, 300801452, 828431286, 154845364, -1, -1, 705352109, 142313080, 811196551, -1, 166256269, -1, 751453787, 783711677, 131103158, -1, -1, -1, 236986434, 346417661, 916648696, -1, 483475813, -1, -1, 719971102, -1, 439869600, 45503992, 357800944, 939570424, 258350849, 66603492, -1, 525560422, 293039603, 741338371, 573212530, 534343359, -1, -1, 799247824, 808757743, 170501096, 730331142, 365404871, 606450741, -1, 453690946, 970221660, 384280468, -1, 84946789, 415498163, 979944156, 933862518, 837635087, 997032188, -1, 362737165, -1, 974964412, 882820811, -1, 952327687, 787999850, -1, 396321018, 808918726, 113896112, 650796298, -1, 193206683, 967677343, -1, 750012499, -1, 339230572, 891905678, -1, -1, 555757071, 524359488, -1, 853971916, -1, 475791838, -1, -1, 929253984, 572658001, -1, 596495333, -1, 163210426, 257753630, -1, 94718736, 548141660, 60001222, 848664795, 954275794, -1, 708394865, 199024646, -1, -1, 846745804, 347898510, 888679786, 743138028, 451961203, -1, 819921716, 110709770, 683037267, 767349447, 971190597, -1, 261724190, 59914806, 784954766, -1, -1, -1, 496147705, 9375004, 432299787, 350301347, -1, 468676664, -1, -1, -1, 480320449, 359764932, 838334936, 331966917, 422645167, -1, 338558256, 778889702, 486228842, -1, 647450112, -1, 366291100, 708289934, 461819492, 227209899, -1, 126123473, 643721694, 698284714, 132866667, 957391295, 718319455, -1, 406286513, 469508051, 454440829, 474039800, 591237534, 502991581, 655993249, 331881643, -1, -1, 187838890, 625089847, 638128951, 770114946, 62883056, 780431824, 653893571, -1, 793748516, 629938026, 822621171, 669200299, 364807347, -1, 704906788, 261145105, 727130174, -1, -1, 241015809, -1, -1, 790760762, 256054437, 419422751, 743884323, 781251905, 272826893, 96708202, 567664536, -1, 665746227, -1, 142646395, 302782007, 676524503, 388956440, 445486710, 20900151, -1, -1, 542550025, 443605612, -1, 935285421, 973085060, 280317283, 384014205, 331358765, -1, -1, 907656379, 701767369, 788414877, -1, 391771545, 119078352, 382598632, 783643573, 439591729, 520974007, 66763283, 24864722, -1, 593846998, 848913362, 302505701, 866388463, 139670604, 60380919, 298129053, -1, -1, 326228379, 485663932, -1, -1, -1, -1, -1, -1, 798245148, 20507005, -1, -1, -1, 332041047, 34153303, 411539329, 198366267, -1, 567749453, 84580507, 557052228, 480930016, -1, 935565767, -1, 899917939, 742919833, 392580445, 237004428, 416599021, -1, 810677992, 558739038, -1, 750915792, -1, 17535327, -1, 580439181, 569462085, 149913018, -1, 579525065, 912674467, -1, 266003729, 666294612, -1, 346515821, 812004403, 633513350, 689155695, 527661979, 382143907, -1, -1, 716917688, -1, 681642616, 114401849, 755236820, 479323979, 278143675, 359108067, 449363429, 992202477, -1, -1, 940066603, 274312191, -1, 366643632, -1, 966219415, 756486560, -1, 494412162, 882448828, 437894508, -1, 700575520, 94217916, 357415771, 186759060, 709785521, 832445056, 995075291, 577444847, 789820475, 555404449, -1, 142190390, 434158597, -1, 87844934, -1, 255471322, 258529034, 528281836, -1, -1, -1, -1, -1, 901556227, 456177135, -1, -1, 647748910, 768948564, 675256784, -1, 705504423, 294936595, -1, 415546143, -1, 930051875, -1, 983967073, 576009906, 475530822, 368157208, 787368764, 567544838, 222517240, 509585421, 42682533, -1, 602956226, -1, 190223892, -1, 19714482, -1, -1, -1, 867267216, 383981856, 519156901, 24458765, -1, 336032213, -1, 850231734, 227441809, -1, 234607985, 553083019, -1, -1, -1, 720689782, 521313836, 748072371, -1, 874388507, 660857150, -1, 542774472, 902183381, -1, 774440702, -1, 470749673, 401271253, 268099527, 272482009, 480069236, 481983465, 681016199, 908187690, 450807969, -1, 774052452, 145471820, -1, -1, 295241882, 549555215, 261861174, 960966190, 4186168, 679646786, 646884933, 783275935, 40733098, 509382126, -1, 37221263, 737276868, 586347108, -1, 122083859, -1, 808101924, 851444567, 676317438, 761691206, 780235725, 656480518, 276479410, -1, 70278457, 865585533, 437195530, 773901225, 650829925, 679072292, 503811113, 465004284, -1, 212071378, -1, 297338789, 792741581, 852787036, 800258287, 818809826, 44225527, 637121721, 360642489, 805771434, -1, 614049250, 824474075, 601939354, 723647510, 736204402, 40566200, 669981924, 433682806, 456502874, 96563300, 259689024, 324237036, 305649822, 169989409, 895204418, 441982242, -1, 811292378, 927444167, -1, 628386080, -1, 72471117, 889403210, -1, 648261190, -1, 64519575, 208441314, 353471227, 38308290, 423266976, 90142191, 122886382, 403108360, 123259025, 428486043, -1, 157573408, 297491708, 735192731, 717850386, 485256063, 467427084, 587917414, 842667020, -1, 315621597, 988325090, 679581605, -1, 45459482, -1, -1, 42690819, 793825933, -1, 947443981, 742569575, -1, 122341955, -1, -1, 857798804, 18679092, 359617791, -1, 535932985, 537673821, -1, 406970501, 862791385, -1, 378197885, 478660042, -1, -1, -1, 127798735, 219865382, 11074206, 845018314, -1, -1, -1, 717654287, 306737702, 812982281, 470681730, 198679580, 866941186, 395734972, 249197085, -1, 291599982, 745492491, 16586439, 375945424, 775034407, 859156974, -1, -1, 811319360, -1, 31343494, 825993347, -1, -1, 863219585, 422390494, -1, -1, 112171807, 691869641, 912502793, 713773264, 442547915, 542880240, -1, 833174977, 282768879, 136712132, -1, -1, 428638594, -1, 836875097, 349797460, -1, 390633162, 684563974, -1, 517024523, 857902700, -1, -1, 874122317, 894193860, 844668792, 780546874, 357970067, 588762560, 116631402, 402478083, 883493789, 301987920, 253407886, 280166831, 338483477, 658901394, 814628470, -1, -1, -1, -1, 486958945, 178970987, 258058663, -1, 138933314, 719546464, -1, 743448999, 283237694, 467722078, -1, -1, -1, -1, 507409266, -1, 884604079, 723651311, 556863882, 384470595, -1, 47503796, -1, 19966823, 180719504, 313898167, 709165015, 956017071, 324230231, -1, -1, 82114709, 492787354, -1, 584155151, -1, -1, 135790835, 580200508, 193336590, 734263349, -1, 644311502, 327565581, 563280010, 429051460, 976152125, -1, 299107161, 831840248, -1, 861738654, 217690887, 437077037, 810260330, -1, -1, 685056845, -1, 280099020, 833414612, 739756612, 768997066, 193520053, -1, 358260932, -1, -1, 307901908, 909126725, 597505866, 50816852, -1, -1, -1, 138279608, -1, 297207586, 35340423, 67640137, 647457556, 287031425, 121146392, -1, 983113122, 291376355, -1, -1, 529399740, 290523878, 764941965, 114995227, 237672167, 552426995, -1, -1, 172267446, -1, -1, -1, 312843950, 39914362, 464418586, 367516322, 739158968, -1, 797377438, 787991561, -1, -1, -1, 679660086, 603156522, 632707059, 213038606, -1, 706036299, -1, -1, -1, 932054131, -1, 533093866, -1, -1, 120935346, 488710357, 912675453, 345919684, -1, 790712511, 771395752, -1, -1, 651556352, 575326125, 529544569, -1, 417949908, 473507285, 780017346, 942927717, -1, 915005310, -1, 804442602, 741406355, 567271449, 429782911, 537497499, 218349037, 34307508, 380532833, -1, 797411505, 296439473, 689881830, 583649169, 247371237, -1, 136694185, -1, -1, -1, 335091660, 184923713, -1, 530723804, -1, 317287896, 345389959, -1, -1, 579183872, 851370771, 954899738, 712880318, 962614470, 88302610, 932471714, 650566619, 995916286, 600084629, 32010552, -1, 951301050, 698275242, -1, 515697462, -1, 543933765, 358844444, 800483183, 142290836, -1, -1, -1, 649823310, 181670857, -1, -1, 731532104, 409338579, 248775154, -1, 771778324, 118318225, 382589552, -1, 375590153, -1, -1, -1, -1, -1, -1, -1, 87238692, -1, 867927489, -1, -1, 905014719, 84583155, 714715688, -1, 858712420, 846531951, 889432645, 5280827, -1, -1, 126719269, 322351696, -1, -1, 884752090, 699822714, 901861607, 310052324, 196417772, 83757457, -1, 980125888, 429992467, 459990229, 760645816, 735054500, 52541682, 490463713, 231873670, 944125073, -1, 752742243, 111323690, 166564571, 432209351, 679952878, 282890048, 861212684, 577433086, -1, 252093093, -1, 209834527, 630843943, 724627605, 493020900, 991171833, -1, -1, 837988189, -1, 395520614, 545133937, 850677160, 723165721, 29524430, 454128522, 56395280, 513570709, 944466302, 481244360, 247444540, 892344413, 197615779, 891885245, 219926029, -1, 396652979, 632413393, 128522372, 972072625, 198481863, -1, 490469273, 671163124, 542659707, -1, 616616669, 434542836, 487082236, 274701396, 230783209, 604019110, 800749908, 326054212, 780839576, 787888884, 74072588, 763329411, 102425729, 770884342, 388186440, 480569611, 116458010, 507787316, 863501429, 673100913, 746895454, 662404351, 268036774, 253640386, 842721084, 939823092, 31804378, 533488885, 878335664, 329241946, 733825995, -1, 274446126, -1, 641941761, 479375454, 61963494, -1, -1, -1, -1, -1, 780712037, 260042257, -1, -1, 757587449, 534377194, 120481285, -1, -1, -1, 285645414, 300201568, 941532055, 592217121, 629357075, -1, 63560849, 660977493, 176593454, 740928472, 344193425, 416962950, 849428271, 279995899, 227007890, 993280382, 424542177, -1, 267153851, 273751821, 604793332, 676474665, 971786915, 99324040, -1, -1, 721548678, -1, 231498764, 594221814, 192672209, 115842917, 982113870, -1, 208804552, -1, -1, 214639681, 957728163, 832470371, 811959955, -1, 504294506, 546064246, 722923034, 456295028, 899811131, -1, 554528295, 664770835, 432843438, 65590233, 632443715, 917932335, -1, 33852286, 958214185, -1, -1, -1, 4672859, 166049361, -1, -1, -1, 954861715, 763431902, -1, 939234609, 119251655, 736905576, 58288645, 691884058, -1, 911003846, 693321515, 796280386, -1, 582214266, 430245671, -1, -1, 810823428, -1, 711324935, 237437972, -1, 214868198, 498284496, 574285590, -1, 823616534, 474817922, 14568702, 28785102, 874032568, 651287833, -1, -1, 588425508, -1, -1, 424851429, -1, 58358326, 977944548, -1, -1, 211864014, 278585355, 885250635, 865870409, 474984350, 203998590, -1, 347636398, -1, 378613597, 653879755, 244770263, -1, 259428267, 323226468, 321175080, -1, -1, 611191395, -1, 812135456, 905245138, 282013499, -1, 63489645, 586194430, -1, -1, -1, -1, 30258675, 921769438, 463660626, -1, -1, 282263296, 378169854, -1, 28041256, 490916142, 717951968, -1, 342758627, 351493112, 396697459, 255515748, 410325844, 792851187, 850747510, 51384527, 195419178, 564808156, 826828221, 630061140, 316865321, 823050293, 464584415, 424475554, 162467512, -1, 10147878, 795556733, 383468383, 104730535, 259328594, 480649177, 282976293, 906886795, 715389601, 877870529, 294143594, 627133886, 191593247, -1, 844309437, 93978646, 80515643, 976876213, 86434767, -1, 819943344, -1, 403341912, 651342974, 882456736, -1, 586459378, 494012806, 378398871, 828457079, 294504307, 417213397, 179573797, 630967551, 711635832, 764810323, 235097332, -1, 925551394, 498615502, -1, 454981724, 73884785, 32197897, 945855056, 198055894, -1, 305207054, -1, -1, 378983731, 83547935, 746444398, 697653064, 823839835, 187509210, -1, -1, -1, 423037623, 16651400, 99016962, 975855874, -1, 503008828, -1, 918709900, 757754734, -1, -1, 335761255, -1, 926900614, -1, -1, 101304601, 953345517, 80344951, 194118985, 31013321, -1, 498105685, 849265484, 538679775, 935492404, 825375802, 913956582, 867924920, 589467063, 587328773, -1, 545621925, 96201333, 748148783, 355550198, 283855386, 474997638, 660188071, 971962611, -1, -1, 587511952, -1, -1, 559604341, -1, 844517800, 521771782, 321598728, 79866734, 136386595, -1, 777499589, 347337266, -1, -1, 928939697, 704625551, -1, 354823965, 82864311, 360426734, 657425597, -1, 794506858, 228422119, -1, 817275580, 626767225, 685848190, -1, 643320038, 308986591, 193180769, 417970416, 185509366, 703411016, 532754322, 428549494, 121349869, 139015582, -1, -1, 674393719, 73712920, -1, -1, 424132313, 489723152, -1, 803594256, -1, -1, 626648426, 304040863, 21380155, 629108518, 705433050, 792495707, 12790762, 632329067, 784918823, 970663033, 124845420, 42222704, -1, 699976512, 297118425, 977792332, -1, -1, -1, 7354828, 767921736, 473930074, 724269926, 582835464, 445220501, 494681691, -1, 897403185, 196021209, -1, 707681722, 987042720, 178061716, -1, 719785399, 903124961, -1, 921402533, 389459873, 568020080, -1, -1, 11510355, 911952115, -1, -1, 129438013, 4349998, 624853761, 547950532, -1, -1, 529337547, 911503478, -1, 797525350, -1, -1, -1, -1, 315107240, 481743186, 16591030, 396159290, 873387904, 870627455, 312966061, -1, 438353682, 606059391, 214052758, 8033452, 925842184, 2786431, 396597287, 62322818, -1, 237681184, 292263929, 238583552, -1, 348386497, -1, 884829020, 431475565, -1, 639225597, 899085494, 991764882, -1, 146791769, -1, 305084239, 590576150, 150814130, 713811141, 167654861, -1, 919048070, -1, 900533135, 181774369, 319073211, -1, 43448784, 694125898, -1, 984640665, 254910150, 144519653, -1, 197176345, 899309309, 868310425, 426903048, 345630885, 53192213, -1, 881234676, 48443344, 259052512, 907118830, 405365430, 913677817, -1, -1, 23913520, 837603809, 276008930, 715457006, -1, -1, 385600809, 846365550, 795176485, 300521705, -1, -1, 623901967, 695194852, 488568941, 815938011, 179327707, -1, -1, 605284636, 643507751, 366995745, 129831682, -1, -1, 986261509, -1, 482462101, 587120003, 300244950, 46747444, 555933228, -1, 979736776, -1, -1, 982586416, 985274917, 554509681, 132467040, 165210901, 945949736, 950503052, 433615247, 182778195, 900005560, -1, 175183269, 701434307, -1, -1, -1, 684286624, -1, 82185601, 705691979, 738220375, 993620952, 95049876, 278737001, 791006747, -1, -1, 866676280, -1, 615770110, 459682986, 492614917, -1, 530103961, 845274557, 145383385, 636540102, -1, 175354031, -1, 444525886, 111056630, -1, -1, 202664075, 275858200, -1, -1, 152932482, 825317261, 597243069, 469925410, 428644331, 940613733, 204513614, -1, 975259221, 29879986, -1, -1, -1, -1, 388836008, -1, 858631440, 27544385, -1, -1, -1, -1, 892043887, -1, -1, 368012520, 244754119, 139591461, -1, 245484441, 23396078, 300134169, -1, 717807626, 780164891, 245573675, 751127224, 887518240, 813453502, 852414725, -1, 214342291, 983466719, 397558490, 920267949, 985959269, 184429223, -1, 554443347, 138984366, 251144968, 665435833, 482600853, 673698769, -1, -1, -1, 918601582, -1, 32332004, 434497785, -1, 213074063, 396551016, 674882103, 711047604, 821074514, 506546198, 523542668, 697441091, 52598259, 705529247, 544311444, -1, -1, 617163316, 161379021, 931811155, 232560729, 737476360, -1, 804559920, -1, 662628957, 182353298, 301057073, -1, 418609577, 296635565, 467842330, -1, 732406694, 764367170, 901107243, 50139598, 250260847, 282692406, 260028435, 692229845, -1, -1, 114712568, -1, 409884476, 167704710, 573094486, 327842028, 319487935, -1, 214592497, 606733428, -1, 647404869, 230859689, 401045751, -1, -1, 395374345, 32849159, 861808285, -1, 867438660, 162192384, -1, -1, 146134832, -1, 889560956, 463259098, 167849123, 777795727, -1, 427165031, -1, 388417916, 146849695, 338479791, -1, 522863266, 422622095, 312014048, 652556602, 431389284, 763512778, 535818818, 717729868, 82488934, 729723299, 571134291, 606488773, 8277539, 415335615, -1, 47066511, 556786158, -1, 833022644, 433899018, 473338688, -1, 742994840, 697161920, 184447090, 350474456, 444285869, 937525406, 633648, 576022043, 191621204, 73857129, 536580125, 400249585, 221622845, 362515772, 342220958, -1, 279248273, 179673147, 431340559, 408827881, 602378233, 661672685, -1, -1, 459341089, 377367250, -1, 551827662, -1, 328807777, 297326519, 185231991, -1, -1, 117555391, 431638366, 651141558, 600672836, 504867723, -1, 476730663, 643536909, 700189727, 590018299, 715873324, 158517586, -1, 646762268, -1, -1, 875191712, 329570509, 711538615, 301394004, 449069863, 226933234, 382061412, -1, -1, 814784149, -1, -1, 981331511, -1, 767442783, 135125011, 604846689, 291634104, 167452348, 43731777, 547078629, 979212880, 611361738, 154365810, 872855111, 783228027, 689355831, 120888423, 832295695, 172837576, 135491539, -1, 408670191, -1, 122449933, 626481913, 630648005, -1, -1, 127842622, 900560003, 653888085, 432636096, 654754275, 106289196, 907921168, 487018684, -1, 540649180, 555820009, 866347261, -1, 700592909, 555163127, 588852269, 586444531, -1, -1, 282957175, 622118240, -1, -1, 838647249, 42262297, 222377413, -1, 258868487, 952157337, -1, 50719934, -1, -1, 188663625, 157367070, -1, -1, 894770459, 594389475, 842562680, 128241562, -1, -1, -1, -1, -1, 379612902, 945273325, 400643148, 766624038, 968134901, 913749313, 203055322, -1, 651917559, 120348109, -1, 100796120, -1, 127599693, 792552760, 463982443, 129078979, 739125245, 639312982, -1, 756247105, 158157030, -1, 644120406, 279292817, -1, 522656744, 332099911, 552005247, -1, 352752615, 661438746, -1, 586935114, 253602368, 686787485, 30331198, 272241182, 437982970, -1, 555301872, 128957161, 428253975, -1, 410634841, 60402377, -1, 284114362, 17714257, 553869010, -1, 330034785, 649213537, 688347802, 808957838, 880632122, -1, -1, 249125834, 758469159, 839611008, -1, 422423962, -1, 137800339, 799242165, 749128807, -1, 877579628, -1, 447968418, 32449383, 116764622, 137945176, 511239426, -1, -1, 121889569, 903786630, 741551573, -1, -1, 831460640, 409481979, 791146776, 165935747, 669106337, 549886816, 278592555, 294913251, -1, -1, 919574099, 782054865, -1, 43543909, -1, 204404157, 327632486, 540967508, -1, -1, 657500796, 717035176, -1, 944831715, 197906829, -1, 499024015, 34423322, -1, 560273964, 20017142, 511381904, 111682725, 304552659, 831092602, -1, 924896780, 836741468, -1, 96831801, 629919941, -1, 493128451, 496985290, 702049486, -1, 270646438, 868520429, 923020462, 395347320, -1, 325027037, 111584483, -1, 498128394, 890198976, 914197742, 416752569, 568824000, -1, 257201217, 730453719, 431712045, 289242600, -1, 285018627, 314694137, 115670092, 318938189, 19002277, 28163980, -1, 120290275, 74412584, 211894646, -1, -1, -1, 886806649, 707833145, -1, 429872498, -1, 556755764, 455839296, 967021568, -1, 291051018, 222520479, 497525797, -1, -1, 820713257, 887042384, 836768412, -1, 957089664, 761460963, 695843330, -1, 530879428, -1, 427116334, 252782152, -1, -1, 332578793, -1, -1, 596267590, 818573986, 53067692, 95891049, 478293594, 351985644, 731044248, 867874561, 107237219, 92138224, -1, 450782699, 88929844, 13907117, 372281554, 539453009, -1, 187541739, 13046643, 297676177, 970979787, 860667105, 666744740, 687139392, -1, 959218901, 348939194, 620568625, 665414371, -1, 869225164, 141451751, 928036534, -1, 858646172, 384600213, 435471109, 12731982, 476438410, 399110559, 501526504, 490517593, 483543615, 209994652, 873204508, 731148373, 48926687, 118176696, 689249195, -1, 636310376, 207994614, 14469818, -1, 133982542, 556228562, -1, -1, -1, 125008458, 642130481, -1, 71533323, -1, 344924273, 94939827, 893715217, 418237166, 965391482, -1, 572478667, 277776492, 711434183, -1, 831631772, -1, -1, -1, 410381040, 190656405, 636943583, 852291394, 588133276, -1, 755395676, -1, 248270838, 542467339, 689957962, 241037952, -1, 691663777, -1, 471788473, -1, 838468791, 316201011, 982848543, 744450576, -1, 822237847, 882431767, -1, 282744295, 880225644, -1, -1, -1, 95136436, 244298726, 724684756, 851337075, 537260557, 116434738, 500834030, 573579752, 634889005, 199431149, -1, 855694231, -1, 884803369, -1, 159872409, -1, 818009338, 947743928, 112876534, -1, 58880135, -1, 425258388, 804752342, 782848799, -1, -1, 107507993, -1, 176958895, -1, -1, -1, 994899524, -1, 265974023, 82392148, 734914865, 165315812, -1, 61188858, -1, 210095175, -1, 789097433, 695283273, 692376519, 156381286, -1, 57190511, 220879230, 87541043, 972716546, 975636403, 761372175, 382502640, -1, -1, -1, -1, 859169626, 401609816, -1, -1, -1, 186355196, -1, -1, -1, -1, 768071369, -1, 292206417, 853369918, -1, -1, -1, 962543147, -1, 930170574, -1, 328666586, 135186723, 912846249, 351464565, -1, 694780675, 25194395, 671165824, 62960083, 844170887, 330644827, 39575180, 70472234, 136236460, 333023215, 362645301, 528118949, 418049745, 914720482, -1, 144188958, 189548698, 398628970, 13556599, -1, -1, 248601126, 15824233, -1, 778043744, -1, -1, 255799992, 383906566, 28869076, 291186363, 770461271, -1, 643710235, 721913811, 383598030, 532977048, -1, 115976135, 232784225, -1, -1, -1, 937280523, -1, 298246965, 889328959, 890276269, -1, 992686989, -1, 28224759, 483363329, -1, -1, 245936782, 725824003, -1, -1, -1, -1, 443061279, -1, 160485285, 803892418, -1, 162399980, 179859654, -1, -1, 26515890, 952015091, -1, 413568402, 543024175, 640551030, 946705016, 180444646, -1, -1, 184726898, -1, 979919901, 195180893, 373721220, -1, 221365190, -1, 124914996, 686060098, 187715871, 310780957, 13785845, -1, 374192260, 237470328, 537127579, 190616248, -1, 546198329, 377263100, 407887161, 775912159, 441443626, -1, 974278034, 605266640, 214677215, -1, -1, -1, 285884715, 693524344, 482925399, 680707932, 180834039, 519378818, -1, 205874172, 363938793, 864559863, 61610439, 443239334, 53347735, 862919001, -1, -1, 810453327, 244663335, 199536345, 14488204, -1, 314506643, 175449045, 390962440, -1, -1, 961299569, 222998553, 572150174, 761658666, 231231322, 933004124, 987744358, 228001213, 856500242, 808842720, 257226106, -1, 922170046, 577973101, 242945113, 902461090, 850074777, 253827022, 440607710, 343283255, 299967917, 437057091, 548341416, 972942894, -1, -1, 657873280, 665450129, -1, -1, -1, 62657951, 698089125, -1, -1, -1, 425327301, 845649946, -1, 44055324, 48280674, -1, -1, 887261215, -1, 561770192, 41702980, -1, 668740329, 985474891, 943005134, -1, 454482636, 187637607, -1, 447071742, 90809617, 426962559, 423530925, 911287805, 781045429, 309893819, -1, 891184599, 781188488, 505244769, -1, 809153281, -1, 806872636, 779677737, 325796062, 937634079, 431224912, 422907301, 615085208, 295315522, 244042455, -1, 933802762, 97321411, 104811245, 362785973, -1, -1, -1, 958653351, 43380350, -1, -1, 278013899, -1, 677259955, 635554576, 86334528, 610345593, 411140256, -1, 176439039, -1, -1, -1, -1, 688640713, 968367474, 4115552, 4646099, -1, 410343128, 496860571, 999730239, 277027779, 619577228, -1, -1, 29424636, -1, 758132932, -1, 2841972, -1, 66805075, 654597963, 431011022, -1, 418785468, 295116324, 515671802, 966469579, 609506051, -1, -1, -1, 509929198, 645722481, -1, 565847318, 761754118, 6468449, -1, 132364805, 156028334, 991626897, -1, 394021444, 625757877, 785435473, -1, -1, 525796656, -1, 378801241, 264804102, 933718449, -1, 112906387, 294859481, -1, 440840538, 619158797, 715075512, 922086549, 30244681, 805527434, 534926676, 700429776, 321366061, 804458183, 815578238, 423209650, 386366404, 620677771, 470274073, -1, 516077488, -1, 649469109, 732686934, -1, 378063284, 257659567, 341763041, 555624370, 242797326, -1, 655268136, 458708318, -1, 145412178, 860103877, 78689599, 947910270, 2704884, -1, 244782438, 14475337, 441099905, 622648839, 172168690, 287114987, 893518231, 536356886, -1, 651390741, -1, 615964924, -1, 729589005, 843516179, -1, -1, 355270727, -1, 612208136, -1, 85773702, 772665667, -1, -1, 645410142, 636084983, 190702712, 252015338, 28109758, 980596307, 374632567, -1, -1, -1, 696589070, 642583246, 558404496, 157522844, -1, 331474777, 436869617, 552809099, 837866440, 373201972, -1, 785122219, 562658475, 704409983, 714981122, 184225004, -1, 999694085, -1, 139625344, 362752061, -1, 788170060, -1, 832958859, 114680925, 486414354, 365750445, -1, 377594081, -1, 200922190, 111199052, 502176057, 111726688, -1, 222188659, 436489591, -1, 232391235, 923059550, -1, 711670300, 646349949, 533191040, 661880689, -1, 226905004, -1, 856832154, 57314894, 340150939, 784821291, 978267442, 766971085, 804457896, 965606505, 628899765, 253540814, -1, 75486933, -1, -1, 426303499, 384919361, 458288007, 58698908, -1, -1, 165365199, 481238449, -1, -1, 887722634, -1, 768483268, 733217252, 899554446, -1, 138403367, -1, -1, 434053508, 369725204, 490594786, 565447945, 772706067, -1, 61537436, -1, -1, 914640676, -1, -1, 507815102, 30365367, 969828532, 249352589, 466020788, 16795413, -1, -1, -1, -1, 279593637, 756393610, 165374169, -1, 83029087, -1, 55188748, -1, 290594525, -1, -1, 730350413, 759052654, 476069532, 382551044, 846557351, 77775457, 711296601, 208634108, 776984134, -1, 645958157, 856127642, 449540655, -1, 206478067, 366413439, -1, 171757968, 381141324, 970523639, -1, 124958062, 221541628, 508264476, 131514192, -1, 219437575, 757214684, 976008940, 263749831, 401219257, -1, 436716194, 750747226, 752910752, -1, -1, 305887555, -1, 364508786, 168377872, -1, 228198906, 941619348, -1, 763013192, -1, -1, 8298334, 786198083, 551726432, 39051034, 706519279, 932445070, 898158069, 554802402, 147601359, 909261315, 878307200, 507100118, 818697431, 707362312, -1, 870327250, 727279307, 832053607, 715081021, -1, 319437136, 648810002, 785775175, -1, 925837100, 455355290, 202545002, 969421549, 383263319, -1, -1, 915353333, 374193258, 340740744, 367291542, 941657646, 640845956, 436746268, -1, 154308088, 596949967, 1129319, -1, 776738999, -1, -1, 812831860, 606713438, -1, -1, -1, -1, 276388125, 120276604, 92501619, 515924895, 605770520, 77843597, 807117959, -1, -1, 727055589, 702104886, 77130430, 166267138, -1, -1, 104800479, -1, 996350177, 470101333, -1, 519033851, -1, 178118436, 844009233, 743437823, 966844262, 751838620, 164117941, -1, -1, -1, 429389816, 449780817, 396589235, 50297180, 513723287, 956784482, 149662331, 415907208, -1, -1, -1, 132196626, 728208904, 188631998, 267663003, 540715628, 37676980, -1, 110821465, -1, 681630639, 486645784, 377563971, -1, 214854671, 398671927, 997588509, 702082956, 672338127, 482921364, -1, -1, 755065568, 880401707, 652415520, 798424777, 94428304, -1, 635720974, 620164091, 540143951, 776263771, 612751286, 329606969, 919338838, 902606942, 806087175, 727392429, 325216076, 377264545, 575184294, 925052005, 606040866, 604455512, -1, 973779048, -1, 672094455, 757151760, 178184193, -1, 83612264, 372561049, 452930627, 951080274, 815492188, -1, -1, 490618469, 349670525, 615216187, 220462262, 144459453, 997798917, 298391950, 676686413, -1, 960961329, 698773490, 652263412, -1, 944341710, 78356723, 520871532, -1, 580988288, 921935015, 119581115, 604538957, 38587449, 708577419, -1, -1, 307292116, 430494333, 205171822, -1, -1, 332656810, 960498994, 252956556, 805360720, 369743593, -1, -1, 834264914, -1, 305250088, -1, 769740779, 51924894, 745835556, -1, 585082798, 993141015, 894264508, 497009432, 995704368, -1, -1, 361121296, 390780859, -1, 610815574, 508120880, 399569813, 727973269, 863875985, -1, 716502780, 546385289, 256399151, 558573128, 962527823, 891051651, 419293551, 375831937, 781443419, 156587004, -1, 437892269, 644928431, 719097414, 77428818, -1, 891129563, 647674661, -1, -1, 887856845, -1, 610499262, 762663671, 496506796, 647720780, 579367140, 811590506, 692210336, 619475263, 582677919, 210735195, 216156227, -1, 362702435, 420121237, -1, 398149999, 846397792, -1, 897854034, -1, 543662665, 437160888, -1, -1, 991857192, 132893765, 816269046, 433755752, 413347055, -1, 147668700, -1, -1, 384050737, 110274580, 843162230, 617923513, 731030169, 597419883, 52556142, -1, 117520261, -1, 417807354, 285794660, 267148053, 296178740, 827336206, -1, 156464060, 989273856, -1, 468423139, 419207349, 425930774, 593784814, 130145309, -1, -1, 407446210, 616650872, 141384266, 817961626, 210753880, 563665549, 183317349, 991623497, 522651971, 93388661, 707551943, -1, 734628935, 788572015, 935920014, 689423802, 897350800, 6476270, 434062652, 324671633, 257475901, 985890167, -1, 971663960, 155839207, 487602766, 448648829, 915570992, -1, 524698940, 178649312, 915287105, 899755959, -1, 39593726, 839620171, -1, 664904732, -1, 499454183, 577545786, -1, 188264801, 561043085, 941920899, 352887851, -1, 841248551, -1, 692775220, -1, 862219861, 732207097, -1, 470853066, 39676220, 191046726, -1, -1, 182584407, 550030984, 929357513, 297168564, 943860158, -1, 559220371, 39044014, 44509402, 875936062, 796141686, 48498616, 666039143, 46632226, 339670024, 444699178, 541759708, -1, -1, -1, -1, -1, 377799446, 271596814, 461248091, 122913360, 967040548, 387626093, 343571548, 450548478, -1, 349815607, 313350880, 479318299, -1, 881021594, 983966740, -1, -1, -1, 317210928, -1, 370413802, 450728205, 467893774, -1, 3365073, -1, 530333806, -1, 923285602, 46097909, -1, -1, -1, 56925215, 127212533, 874570327, 918877560, 430405969, 291418064, -1, 398763214, -1, -1, 335734743, 369920084, 381483805, 100687495, 390144522, -1, 572039633, 970395785, -1, 332627138, 628035896, 976774954, 897941406, -1, 549969595, -1, 694194928, 558192435, 996008073, 815676580, -1, 503219246, -1, 642011367, 873603967, -1, 396167890, 151477457, 690509229, -1, 451682456, 877699302, -1, -1, 355253973, 51661964, -1, 723172047, 887632209, 8736677, -1, 587380242, 582882897, -1, -1, 996505270, -1, -1, -1, 921247732, 507839666, 482484176, -1, 372095036, 551204759, 589768273, 836822304, 319880955, 841309711, 78467079, 168982770, 774898731, -1, 898633673, 652996746, 393351202, 418283352, 981765688, 588316035, 136653274, 402292634, -1, 39656621, 285790873, 725436598, 542699404, 644366136, 286118304, -1, 893634996, 423982608, 766269535, 721468251, -1, 834158399, 304002037, -1, 865064749, 944564195, 18745565, 854956614, 763363467, 223826695, -1, 105884159, 809914243, 597702395, 160967992, 144223675, 675693231, -1, 652237344, 244368598, 827203649, 400172136, -1, 832975863, 690009331, -1, 548675752, 406007038, 57076286, 981060394, 895656378, 426382020, -1, 297331309, -1, -1, 46024376, 438567401, 402692425, 4529373, 112086219, 504168433, -1, -1, 229959936, 253055383, -1, 841196991, -1, 696145614, 110512681, 380753199, 675778390, 362380126, -1, 631687307, 258545903, -1, 552524587, 441293073, 43634056, 73336337, 241850937, 982802460, 280734302, 409085662, 877779796, 828576323, -1, 527186664, -1, 589440573, -1, -1, 142603840, 948693776, 543840710, 938423176, 646797378, -1, -1, -1, 25308900, 819345865, 55260732, 978595747, 796055596, -1, 111843304, -1, -1, -1, 896783628, -1, -1, 979717737, 54955811, 341446697, 449212834, 540822266, 825017734, 650602990, 63707984, -1, -1, 351151599, 208608077, 861544019, 626015225, 719713729, 501642347, 955571828, 154258982, 787999297, -1, 836928138, -1, 959191222, 148823324, -1, -1, 839354242, 446006185, 82755814, 997435913, 770802870, 529512681, -1, -1, 316736580, 635154924, 977497960, 274882333, 449953933, 879451985, 694367363, 813128360, 678555804, -1, 250323358, 959193198, 558828227, 93609636, -1, 284587791, 394948705, 545137987, -1, 323950464, 751329000, 58200829, 79157861, -1, 300895051, 515931429, 249453754, 997474573, -1, -1, 199290521, 823560967, -1, 517049285, -1, 918378478, 770923850, -1, 214162573, 40792038, 75870820, 815907193, 408351, 15004533, -1, -1, 85762398, 875065549, -1, 496083123, -1, -1, -1, -1, 712358658, 263573273, -1, 897695401, 38938926, 569698578, 616770869, 566179050, 337598901, 896740136, -1, 498593930, 25816746, 913355099, -1, 912681667, -1, 911826216, 709501375, 424261481, 382329028, 222747697, 139801394, -1, 739428364, 390662768, 511850536, 577706035, 608904658, -1, 628975041, 933984459, 928704761, 707221846, 928225978, -1, 908970797, 894775173, 884879937, 185539817, 466475137, 865994422, 501802084, 584983724, 602005381, 340453139, -1, 543643716, 447128983, 452863521, 404315880, 529128334, -1, -1, -1, 74036142, 832515534, 632010240, 827190471, 431982570, 49272910, 896639142, 890015250, 912777219, 404724935, 18010443, 701360172, 219282772, 2328330, 612548606, 7067822, 284651399, -1, 391383514, 463677812, 396808518, -1, 615128106, 369517439, 812809354, 370587198, 579380088, -1, 717412570, 910609515, 87476628, 927673214, -1, 880987269, 457518216, 363809064, 45360707, 322739196, 588760185, -1, 68217942, -1, -1, 584375874, 914144344, 590133124, 697654257, -1, 58800580, 167374225, -1, -1, -1, 373773371, 145091020, -1, 442970415, 50376550, 615820601, 395585580, 711569353, -1, -1, 87931284, 842238648, 661109600, 173184886, -1, 3526670, 657698452, 429399624, 222774158, 688427422, 969187445, -1, 605088787, -1, -1, 777778016, 417612867, 600623368, 59623390, 917314459, 278403661, 477255766, 492594762, 89991985, -1, 314733216, 311322623, 991190655, 512135418, 625840225, 583029552, 860402357, 776493371, 314696654, -1, 121987564, -1, -1, 260826700, 840344673, 465984101, -1, 750938209, 869007561, 972069243, 791540215, 612821385, 988868057, 331588922, 484366652, 599121338, 358119216, 378680990, 731635445, 965850401, 18869286, 439427709, -1, -1, 592787137, -1, 697472642, -1, -1, 682855970, -1, 324565981, 804481930, 337656389, -1, 30977642, 526741204, 634868578, 589594101, 161563682, 895222490, 528314069, 264321310, 634329811, -1, 527292712, 960095959, 709580621, -1, 452835622, 995622019, 196702219, -1, 765216802, 790747237, 770353001, 458538087, -1, -1, -1, -1, 629770042, -1, 943070553, 568385337, 158284738, -1, 423126840, -1, 841259972, 341535018, -1, 632962198, 501580588, 726690852, -1, 40651296, -1, 315794157, 949217923, -1, 154960046, -1, 3227784, 855845892, -1, 982777284, -1, -1, 637777453, -1, 252033035, 917173853, 836463171, -1, 520382051, -1, 86345915, 733009570, 880717957, 186350787, 27168734, 582306846, 204238598, -1, -1, 753525717, 708596730, 369494873, 613625621, 437575343, 269259258, 158449836, 641363867, 78124514, 273301261, -1, 221329156, 146919186, -1, 734748731, 69137318, -1, 812827488, 63743144, 181976942, 656754998, -1, -1, -1, 827453931, 24926689, -1, -1, -1, 204150106, 287446747, 53431639, -1, -1, -1, -1, 389093116, -1, -1, 595686618, 166276005, 577807921, 107996993, 951335532, 459760456, -1, 877743407, 464072457, -1, -1, -1, 209690146, 951893233, 67195360, 863310032, 280004374, 932579456, 716009923, 130731058, 815603041, 653602078, 395169769, 483680372, -1, 42406091, 854276467, -1, 934940131, -1, 188449593, 6188455, 883431618, 991467187, -1, 48167160, -1, 745088381, 119303539, 769102197, 869884812, -1, 674734355, 805395658, 687588136, 171821102, 679549130, 860321560, 391774597, 534768506, -1, 901915916, 983654979, 904220562, 665863856, 976345618, 637524024, 538150200, 457466159, 772609467, -1, 263879341, 123743083, 164016879, 306009344, 817870788, 193470143, -1, 81810293, 568369701, 537673865, 949609041, 117913300, 8150402, 406947317, 448497164, 173133839, 71567187, -1, -1, 520197061, -1, -1, 788438088, 453242803, 981375701, 965507416, 62847256, 786539952, -1, -1, 94919539, -1, -1, 2838190, 263941428, 698101723, -1, 384443959, -1, 692824790, 602750729, -1, -1, -1, 230684184, 851870657, 923167393, -1, -1, 136500528, 85824620, 6133123, 784115238, 244924056, 419093017, -1, -1, 539423528, -1, 559135345, 401905620, 917326138, 935651903, 852779314, 338097376, 785499999, 813301708, 739520646, 355581270, 961879023, 84328013, 689863600, -1, 547104693, 12489587, 626496080, 951922739, -1, 115449303, -1, -1, 578099090, 424008998, -1, 400478952, 112592284, 277402038, 745739402, 236452199, 941018399, 224699633, 685217199, 583237789, 869159583, 588649743, 50454792, 531117559, 368927175, 686679048, 960965134, 339641949, 255163813, -1, -1, 976290949, 225020699, 504219841, -1, 900992395, 672939173, 583371600, -1, -1, 758483670, 11979474, 285132938, 5622096, 484679829, 762855543, 713365628, 386634125, 235531671, 212326465, 586619742, 968360680, 845501290, 408851592, -1, -1, 242790229, -1, 870382776, -1, -1, 249357052, -1, 755953422, -1, 744301307, 569890823, 184566139, -1, 648920396, 551655078, 330045695, 650651820, 263967997, -1, 671528654, 13414544, -1, 743564129, -1, 832476167, -1, 780326137, 964920030, -1, 564474890, 761155225, 892909156, -1, 747880382, 332646531, 363847359, -1, 958187936, -1, 117028158, 174251928, 309766578, 627165646, 159135591, 332185835, -1, 71791035, -1, -1, 367066410, -1, 725811418, 323757371, 968722285, 753587136, -1, 799965712, 158391226, 629335418, 57774605, -1, -1, -1, 388832966, 647486433, -1, 786124576, 356906975, -1, 61546139, -1, 305272490, -1, -1, 249934822, 541727458, 232402007, 407906574, 345504687, 609412082, 33287026, 995512258, 981216902, 204216190, -1, 71902944, 132010139, 780747567, -1, -1, -1, 601577089, -1, 934582399, 35965024, -1, 221252937, 899458176, 572248458, 36224327, 943953893, 251441873, -1, 664642817, -1, 867578945, 99248335, -1, 671947481, 787377508, 689718651, 495942286, 249858044, 422080783, -1, -1, 130884145, 375746596, 900190813, 320307050, -1, -1, -1, 942966931, 984985503, 297318774, 778739136, 639832135, 894415603, -1, -1, 342420686, 552905057, 183624706, -1, -1, 481608339, 687462833, -1, 810329132, 456441464, 351608090, -1, 501647170, -1, -1, 749359123, -1, -1, 251739035, 804599011, 514020884, 653703609, 624281074, 794522334, 625387144, -1, 159443224, 229917772, 221627984, 980954534, -1, 382976988, 884833249, -1, 166236431, 805356458, 165747117, -1, -1, 540284738, 875682671, 272731551, 841301957, -1, 424102068, 917382811, 478688219, 242279582, -1, -1, 646453363, 246069226, -1, 731348039, 807451032, -1, 224984492, 549884955, -1, 452692431, 924808459, 904112508, -1, 17269389, 803441680, 801865776, 433655467, 96055852, 34839207, 537950973, 998574758, 10241740, -1, -1, -1, 531303893, 593918174, 209221654, 746108131, 976931611, 998474480, 948003340, 292960022, 358095714, 601617815, 704910906, -1, 596152866, -1, 47987014, 873519908, 330469946, 483919178, -1, 570968650, 235108363, 660034887, 959673429, 639152859, 966434744, 296674559, 87415093, 653414857, 872363521, 968381852, 279085119, -1, 495634341, -1, 35517731, 846767449, 666568228, 238055354, -1, 816448250, 548750336, -1, -1, 855317825, 608672811, -1, 674448150, 457469558, -1, 902753473, 732052064, 980970074, 899691253, -1, 610811215, 788789744, 666324766, 711010217, 356297303, -1, 490298550, 761636938, -1, -1, -1, -1, 880348545, -1, 35292026, -1, 747710725, 579677648, 136270167, 457729496, 816257613, 517121167, 793578195, 239801939, 384472724, 312723793, 276788001, 625568149, 553983464, 68418256, 999805679, 905046317, -1, -1, -1, -1, 683068320, 456610885, -1, 35094333, 925302923, 330817196, 109174754, 802660053, -1, 432395511, 388964778, 595770448, -1, 575583296, 312562242, 34544826, 208304019, 787787835, 112454492, 955926344, 121670611, 681457006, 52527325, 750266027, 936490271, 856115649, 411405168, 320337310, 172794081, 189280330, -1, 703712881, -1, 490567027, 39850484, 803308877, 273026230, 542219068, 367852098, -1, -1, -1, -1, 734228096, 435163791, -1, 178086847, 655650856, -1, 688346095, 605187899, 132790986, -1, 333023747, 995881003, -1, 886505856, 769375725, 124388474, 595079510, 421786434, 557389949, 31519961, 762868071, 272078921, -1, 754126415, 472244152, -1, -1, 224253213, 398624648, 742437947, 379278284, -1, 537058541, 277619901, -1, 95629512, 344780512, 333602117, 89869162, -1, -1, 98924422, -1, -1, 923743627, 842723847, -1, 482224920, -1, -1, 863340370, 848743806, 132069115, 458923152, 634981236, 996793355, -1, 629904949, -1, 812974239, -1, 856971808, 860619077, 617401748, 663731170, -1, -1, 764548909, 223961357, 851962634, 339838344, 323204121, -1, 295998526, 37319312, 779931657, 237749057, 763092071, -1, 843586588, 830650948, -1, 38813170, -1, 228096939, -1, -1, -1, 564735537, 321612539, -1, 641207737, 390754942, 125549713, 161473077, -1, -1, -1, -1, 845808185, -1, 875998059, 122614420, 151473777, 224333163, 911235093, 639904264, 786684863, 887616274, -1, 283455273, 166617364, 929993475, 96992597, 455237302, 892431529, 57366852, -1, 299772672, 819481527, -1, 778739133, 68988773, -1, 268073954, 553213092, -1, -1, 989565454, -1, 320388069, 142726606, 214998676, -1, 703712283, -1, 734469190, 836943126, 932981727, -1, 467907670, -1, -1, 378022210, -1, 780970372, 818940529, 257205764, 475551865, 113873802, 894968028, 416718995, -1, 854381839, -1, -1, 797222669, 458950610, 487220454, -1, 574972935, -1, 831363509, -1, 979417369, 977828863, 718455697, 924441924, -1, 405536759, 326548698, 616383899, 671783948, -1, 115602495, 33250628, 334849338, 926150404, 103041281, -1, -1, -1, 80569193, 613453020, 179758906, -1, -1, 456515658, -1, 650964962, 232687164, 888685170, -1, 405388874, -1, 921780429, -1, 599325273, -1, 304014112, 524881637, 374427300, 421197367, 154962984, 951135535, -1, -1, 611267294, 233898074, 307255198, -1, 796949277, 524647921, 224847990, 137048696, 575050650, 227580429, 252006839, 319125162, 216633460, -1, -1, 216824361, 342057221, 674306364, 863989934, 151186087, 569894653, 261193980, 569864832, 935603750, -1, 821595680, 980528457, 978228920, 251076468, 602932693, 929925658, 988639185, 569514742, 251613709, -1, -1, 401801726, 625424355, 152472416, 28209594, -1, 342281219, 74363152, -1, 442197295, 650290909, 29244505, -1, -1, 237733539, 967270247, -1, 807002144, 969520927, -1, 196628929, 862263782, -1, -1, 526463974, -1, -1, -1, 263363529, 565990212, 634096858, 159583592, -1, 380325106, 992476247, 898148354, -1, -1, -1, 561807986, -1, -1, 223845859, 592047010, -1, -1, 54400840, 286490136, -1, 473410375, 630942207, 709485517, -1, 793680548, -1, -1, -1, -1, 412296027, 294817053, 156453128, -1, 193157266, -1, 638607272, 426809898, 461175021, 293425263, 794959725, -1, 253372270, -1, 703632029, 71292651, 425949478, -1, 923029247, 46631991, 532528538, -1, 451249102, 756096133, 911658195, -1, 152309372, -1, -1, -1, 27137116, 685323871, 821792874, -1, 104355994, -1, 217212308, 538772466, 153064933, -1, 826048335, 212959104, -1, -1, 733531623, 902980629, 789496686, 386200848, 754138419, 370608200, 144172327, 335344418, 197027504, 646793172, 53632888, 172205381, -1, 397190260, -1, 470281845, -1, 151332854, -1, 774640949, 758225423, 386157718, 43206195, 71672336, 810919236, 782004783, 38188184, 515685597, 67641599, 292208998, 74722821, -1, 315336593, 833738552, -1, 369298322, 352958368, 680541039, 2747528, -1, 968585736, -1, -1, -1, 293647226, 746498780, 993086311, -1, 757837252, 493775557, 346908594, -1, -1, 365581284, -1, 127879626, 336719723, -1, 842965480, 846967375, 443366575, -1, 819910605, -1, 759299974, -1, 266686822, -1, 816829099, 37058280, 942898531, -1, 173223831, 926180527, 571569550, 576702278, 203486887, 158349225, -1, -1, -1, -1, 799188026, 249210714, 78877692, 70197527, 317389632, -1, -1, -1, 613400128, 770800059, 988736581, 673302962, 920245166, 321386554, 568822567, 191935380, -1, -1, -1, -1, -1, 353907379, -1, -1, 72216495, 345594605, 665912050, 757586067, 96998360, 231688274, 989910194, -1, -1, 914849784, -1, 220858915, -1, 97631973, -1, -1, 122129654, -1, 109325846, -1, 133710705, 945167716, 92637970, -1, 226060042, -1, 239599512, 259032456, 794501963, 264586916, 570029943, 712881100, 376267519, -1, 238198044, 327047959, 170945184, 775194540, 879792527, 300049922, 555355731, 739435140, 811343022, 399959366, -1, 645059086, 399374673, 657450620, -1, -1, 863737669, 195206185, 41616685, 988443354, 542243867, 76954463, -1, 271605980, -1, 721835377, 440777153, 521878244, 432477217, 985138053, 95657151, -1, -1, 348404682, -1, 32166943, 210456122, 405207742, 622844934, -1, 149917435, -1, 818018335, 810747842, 979836062, 108183787, -1, 212043244, 420911521, 410430653, 631471993, 618229112, -1, 340148892, 407825106, -1, 579255785, -1, -1, 336100020, 470417867, -1, 155552395, 623718434, -1, -1, 311406951, -1, 901525564, -1, 896860350, -1, 469479191, 495990900, 551716020, -1, 808733321, -1, 231448700, 204496115, 52668897, -1, 483553367, 530241703, 754962868, 114521379, -1, 591771339, 807449262, 68515538, 923339236, 373065095, -1, -1, 875048506, 64258124, -1, 676269899, 992428670, 521616969, -1, 15451174, 966209746, 120680622, -1, 19850002, -1, -1, 717234856, 773236321, 503642093, 382732460, 548479996, 505093705, 661248373, 702122271, 676596043, -1, -1, -1, -1, 325945148, 143560401, 659605849, 320300429, 283469354, 211996078, 117680043, 19063713, 970054439, 394897172, -1, 657585481, -1, -1, -1, 675544385, 492896492, -1, -1, 616398458, 152333795, 488188776, 813057987, -1, 851092637, 167972841, 889433645, -1, -1, 981605127, 972584360, 436091756, 192212876, -1, 449960174, 136194612, 693578016, -1, -1, 550778083, -1, -1, -1, 41116354, 653941877, 793032622, 67766929, 958432928, 452178344, -1, 415701031, 984578950, -1, 892655353, 326514280, 2981584, 104291462, 134818625, -1, -1, 766119481, 886900735, -1, 264098011, -1, -1, 646380421, 20652232, 222302198, -1, 99805573, 553793413, -1, 788670609, 909345222, 928478953, 656746609, 882774098, 197440827, 151427789, 843505797, 118841842, 655531301, -1, -1, 930764524, -1, 507667698, -1, -1, -1, -1, 169650338, 455836811, 11914873, 418610851, 427174103, -1, -1, 122063820, 155678499, -1, 998393737, -1, 50000541, -1, 79562071, 873425020, 83160872, 161995646, 883661881, 473984563, -1, -1, 223047903, 887323598, 691324456, 69859714, 924994792, 259801024, 921447661, 389398398, 359716005, 448931579, 765737796, -1, 318760885, 768252980, 96190958, 50800036, -1, -1, -1, -1, 701199468, -1, 727465054, 479251115, 422500046, 134046357, 512756873, -1, 921901152, 595556935, -1, 76159842, 420459310, 840245161, -1, 606680783, 177128669, -1, 701379822, 258902545, 994541010, 649913318, -1, 233960046, 160310247, -1, 220089918, 42415954, 781781145, 69907814, -1, 29442048, 278768363, -1, 343371839, 293411477, -1, 752477394, 686464919, 74032325, 162605749, 638904731, 940300504, 988675488, 521719842, 558361663, 337224211, -1, 504882801, -1, 123400982, 796567959, -1, -1, -1, -1, -1, 893251427, 536191064, 26252321, 923944652, -1, 345242628, 208898072, 108572909, 330351078, -1, 182645389, 183589808, 862868260, 902478821, 100408500, 266507966, 279107022, 472188147, 615668267, -1, 738434536, 250819650, 253086873, -1, 62959329, 509430456, 191776796, -1, 639342667, -1, 805466834, -1, -1, 487636377, 573272174, 907846786, 197653282, 634805794, -1, 859022333, 217019397, -1, 646896939, 476646196, 256144971, 395988564, 374592532, 988326864, -1, 42288797, -1, 377737039, 989068881, -1, -1, 828473102, 411591972, 907481768, 77609380, 707692166, -1, 192210404, -1, 806270946, -1, 337536164, -1, 820422584, -1, 389859803, -1, -1, 802135789, -1, 325401881, -1, 209505132, -1, -1, 934750237, 122613548, 576330948, 585467350, 143802280, -1, -1, 455366871, -1, 730102717, 377728151, -1, 383161604, -1, -1, 375276003, 695027200, 112592566, 2755472, -1, 528727632, -1, 316998041, 299329771, 767525498, 865392423, 385191426, 913176368, 823010100, -1, -1, 920481951, 177000097, -1, 512471214, 150970432, 372158091, 115065122, 788504259, 484540506, 537172878, 229473680, -1, -1, -1, -1, 460001425, -1, -1, 107794256, 587286168, 678297240, 86314550, 986566876, -1, 412458049, -1, 154543723, -1, 383371832, 815074081, -1, 884047541, 34641639, 544576539, -1, -1, 350551309, -1, -1, -1, -1, 816872213, 980978110, 486786660, -1, -1, 35532311, -1, 861371278, 493066959, -1, 369170352, 554826553, 398762528, 547933114, 173493657, -1, 168682030, -1, 815990693, 567543783, 341123094, -1, 559171925, 416792939, 739290748, -1, -1, 872125765, 636237547, -1, 925592425, 735031185, -1, 344498084, 498557163, -1, 297799338, 162207461, -1, 212471578, -1, 680302935, 683414156, -1, 40188865, 209328488, 305597511, -1, 65194453, 463779985, 174346290, 92875542, 139853457, 650967160, -1, 420596684, -1, -1, 96569441, 717323405, 794577688, -1, 343962943, 673208347, 203816543, 196882963, -1, 460844058, 5314715, 449011339, 529594629, 850751127, -1, 285923926, 241480486, 595980738, 349568206, -1, 4803824, -1, 240944670, -1, 497607056, 634898002, -1, -1, 193178789, 874864419, -1, -1, -1, 377227483, -1, 859159498, 915707708, -1, -1, -1, 263094567, 618249158, -1, -1, 462466115, 995888539, 204160453, 521909244, 236311569, -1, 800920901, 400533305, 829771624, 269363123, 662973732, 842224961, -1, -1, 749677183, 427601379, 361356400, 520454700, 641076115, -1, 282478755, 909472043, 569660471, -1, 480606317, 276815887, 164863650, 902083751, 555443848, -1, 876087096, 631088903, -1, 191222380, -1, 555263837, 701900785, 480220302, 377580907, 46428662, -1, 620030594, -1, 632559754, 802100465, 114953157, 210385526, -1, 167851542, 818399493, 408397053, -1, 485693994, -1, 731484418, 50074909, 831846789, -1, 704559852, -1, 23159906, -1, -1, 691332492, 532349423, 839209157, -1, 37230564, -1, 409722403, 697869441, 403363779, 470880761, 135253450, 886463258, 416323357, 827585793, 40196134, 490922726, 756277280, -1, 453892088, 166272917, 488908857, 978082185, 122551360, 801804049, -1, -1, 994663712, 31158984, 527417066, 107607406, 213627565, 66374808, -1, 679735428, 223230509, 270547270, 464893080, 608200702, 687697562, 505605648, 967729403, 111340316, 517114614, 67311743, -1, 592105009, -1, 39718935, 24673389, -1, 688872992, 803406389, 70820792, 839043976, -1, 160608072, 221205901, 155473857, 188548689, 102673297, 629104296, 284992216, -1, 843987532, 139134735, -1, 146117462, 682385552, 750597366, 980938994, -1, -1, 186024772, -1, 597935554, 341786191, -1, 853490534, 161508912, 475933529, -1, 834003600, 391690973, -1, 836846735, -1, 420484032, 89091433, -1, -1, -1, -1, -1, -1, 143780815, 986420361, -1, 112749629, 232886281, 985418066, 438811922, 60537678, -1, -1, -1, 562255683, -1, 285496014, 774512033, -1, 494557757, 207244311, 498931399, -1, 616786110, 332969267, -1, -1, -1, 25498780, 658050990, -1, 938460043, -1, -1, 917481384, 490257563, 984496535, -1, -1, 631590534, 699587798, -1, -1, 754169578, -1, 870952618, 595212805, 650380214, 941422627, -1, -1, 991397835, -1, 155838680, 761319264, 374994280, 336035268, 465342813, 786378824, -1, 687267643, 532340486, -1, 67106720, 217423789, 631561745, -1, 356239819, 686199757, 218189615, 675242160, -1, 438370058, 254865383, 247792007, 537146742, 99419626, 590899572, 216145894, 887180710, 876429775, 713947129, 612844085, 99956690, -1, 105579370, 145638569, 741839274, 157796234, -1, 424796399, 810974841, -1, 537647783, 621663116, -1, -1, 814296788, 348679237, 631741224, 312148946, -1, -1, -1, -1, 104550844, -1, 996985930, 270694672, 298944855, -1, 957693028, 345747759, -1, -1, -1, 310801944, -1, 142398881, 946024067, -1, -1, 290467516, -1, -1, 811471259, 998144731, 475676678, 94233272, 127954779, 642579538, 24862276, 603935574, 228442989, 865029958, -1, -1, -1, 336768462, -1, 845554184, 163105758, 858203851, 119254383, 436283503, -1, 113923298, -1, -1, 666552371, -1, -1, -1, 706918478, -1, 752998724, 546908485, -1, -1, 590363714, 723571298, 602264148, 12017578, 89030584, -1, 225885952, 860241209, -1, 150572711, 980351373, 632652446, 947225584, 563378916, 435582595, 511892207, 333065460, 718746164, 687110614, 739209710, -1, 414019235, -1, 132367400, 797310944, 307930840, 134448352, 134991613, 34577417, 500403134, 498804111, 453002863, 213140381, -1, 457985159, 185641108, -1, 984470177, 673401908, 436353361, 861408709, 233780942, -1, -1, -1, 176277172, 948148571, 519603395, 430638097, 322316639, 862166447, -1, 29396506, 331753678, -1, -1, -1, 395777512, 487748337, 304801939, 738010148, 957128813, 244871224, -1, 649046339, 507814448, 403621109, -1, 305460570, 23515539, -1, 842906748, 788756659, 927309457, 222388709, 872438868, 2721770, 928815227, 941438082, 283869553, -1, 570168999, -1, -1, 59209022, -1, 266588146, 513723683, 657325102, 121100184, 786023288, 553650012, -1, -1, 718745975, -1, -1, -1, 518625004, -1, -1, -1, 896958244, -1, -1, 206844347, -1, 634502592, 709804299, 123518975, 975990618, 6459182, 811349518, -1, 386892285, -1, 456382076, -1, -1, -1, 859554583, -1, 124202133, 265610590, -1, -1, 219209814, 21154776, -1, -1, 466548024, 680976873, 945023555, 520989291, 337992293, 559568395, 570537174, -1, 162859881, 505125094, -1, 820106298, 926827740, 936812025, 368286394, 269197704, 407148136, 550493132, 908573574, -1, 37570116, 98571327, 826039681, 287402211, 856256341, -1, 905674779, 782110070, 354971020, 344102197, 1152616, 215303893, 356515635, -1, 551021838, -1, 567255243, 307249790, -1, 710636963, 300213998, 879019671, 933293905, 406646698, 614966668, 364306961, 4934072, 251775257, 364733266, -1, -1, -1, 427363169, 618510929, 3569826, 26530331, 311150085, 59939962, 537726515, 78811517, 512206347, 288765268, 442289173, -1, 380922890, 296352960, -1, 475366650, 650415594, -1, -1, 403545075, 547733, 892963013, 616257525, -1, 160930560, -1, -1, 835602346, -1, 65428260, 54084755, 294750321, -1, 676380925, 506923707, -1, 634093957, 335049991, 526605049, 517463527, 596299325, 667108654, 351823612, 718083107, 962854540, 177133651, 838614357, -1, 16391703, 543826487, 898679289, 967497296, 107771876, 441928275, -1, 121000894, -1, -1, 453318193, -1, 192637420, 207850304, -1, -1, -1, 513565746, 60269041, 190143254, 870180583, -1, 399320967, -1, -1, -1, 255781993, 509917527, 950883034, -1, 926843294, 210170504, 149420550, -1, -1, 940988563, 804467893, -1, 779933050, -1, 668178182, 586465396, 330262569, 219168074, 259204829, 614100449, 179736708, 675808967, -1, -1, 7229494, 548772560, 199985352, 573397875, 367110041, -1, 813582980, 98930666, 286795745, -1, 769694251, 625181585, 117959195, 968798739, 620463328, 774494063, 66538287, 415787358, -1, 37909221, 798198823, -1, 128474719, 860130196, 607498319, -1, 451166614, 951535232, -1, 579355976, 157401536, 797234744, 561372765, -1, -1, 738265543, -1, -1, 28871919, 228612255, -1, 871698897, -1, 199490175, 699111709, 964187277, 115785878, 947345722, 458374341, -1, -1, -1, 817395517, -1, 440043494, 897233772, 766921023, -1, 621991666, 138448039, 47878793, 849754312, -1, -1, -1, 445474636, -1, 967275947, -1, 257912261, 678151223, 114226481, 82062038, 89469752, 587607316, 912974294, -1, 919649422, 209150785, 831655526, 967470768, 108460106, 409828631, 460176890, -1, -1, 665714314, 719651898, -1, 369823897, 103940924, 91374105, 179503126, 431670285, 330501482, -1, 428556002, 542347921, -1, -1, 561901672, 731328721, 950071142, -1, 578034641, -1, 777268277, 460444961, -1, -1, -1, 22551063, 627898435, 724572676, 453035312, -1, -1, -1, -1, -1, 67546481, -1, 273166684, 8218091, 87859215, 5881094, -1, 698402590, 889525173, 443413904, 254300972, 652164740, 500697617, 325281190, -1, 550852151, 951984111, -1, 770323700, 70800244, 432458064, 364383159, 762006800, 454535434, -1, 384834019, -1, 769514372, 984948992, 773813492, -1, 372918254, 661633295, 428211240, 149514180, 515605073, -1, 503438295, 327012965, -1, 416804316, 986979477, 950781630, -1, -1, 434254968, 588727032, 757157610, -1, 979042575, 328766458, -1, 275659385, -1, -1, 535865448, -1, 358904788, 829103176, 2201978, -1, -1, 518682785, 71353341, 507409290, 436561429, -1, 881778180, -1, 65612746, -1, 477377847, -1, 454416716, -1, -1, 57831077, 846439629, 141158837, -1, 482600418, 318244019, 260050175, 633008438, -1, -1, 913313380, 825185158, 733056963, 583405296, 854879582, 374909313, 711105630, 456840004, 195012591, 319189711, 348219213, -1, 833729542, 664889183, 796060856, 234451319, 355618603, -1, -1, 561122899, -1, 476441645, 961938240, 78345956, -1, 490563325, 170399108, 416224960, 191240420, 856903405, 589739599, 636843504, -1, 304134121, -1, 93156323, 562889845, 552746704, 374457418, 713243498, 967210552, 473777387, 822614750, 507014529, -1, 950660941, 685289958, -1, 229349278, 116312769, -1, 543734437, 423762301, 201590583, 697984006, -1, 183715078, 153730505, -1, 488354032, -1, -1, -1, 963215578, -1, 621919842, 160463906, 897401958, 695287889, 365044599, 995632822, 551893359, 493156175, -1, -1, -1, -1, -1, 805259018, 244190073, 123712948, -1, 791059112, 614758785, 139252285, 736430053, 966596477, 519431690, 577653659, -1, 459232096, 127967319, 978873770, 172475233, 167073901, -1, 847925178, -1, 498815783, 283613430, 842798666, 344027643, -1, 125143827, 482902477, 635229806, 992310042, 338808, 830149125, 934390771, 629477943, 46100121, 275464902, 701434551, 3881946, 206759113, -1, 37604015, 625850428, 595348935, -1, 694692431, -1, -1, -1, 515709662, 992402569, 669388636, 757416946, 229908919, -1, 741519131, 149157659, 556069679, -1, 448661633, 981122581, 42547418, 346337147, 399262460, -1, -1, 601896139, 12509525, -1, -1, 38500640, 990454430, 804271741, -1, 650154763, 53968761, 271367927, 572334456, 843790639, 843158428, -1, -1, -1, 414791978, 279071777, -1, -1, 715365635, 987465062, 340015460, 802238011, 668813570, 699118065, -1, -1, 99919760, 507930337, 397361473, 115509036, 158405478, 353247374, -1, 138290071, -1, -1, 589382202, 832430311, -1, 488490443, -1, 227124374, 423085750, 163011144, 312832237, 150455782, 240227512, -1, -1, 989359242, -1, 967704090, -1, 261112164, 893284956, -1, 150164551, -1, 993237521, 195011435, 486286856, -1, -1, -1, -1, 680809057, -1, 550103181, 9026608, -1, 15180461, 491808397, -1, 890955029, -1, 446862734, -1, 634161574, -1, 156279368, 793292910, 656627648, 931316589, -1, -1, 361554898, -1, 58065570, 411785905, -1, 350428788, -1, 728601540, 113995798, 212851211, 737395468, 378804106, 937538736, 868573271, 780934951, 52802898, 379753617, 386975927, 966897092, 425858038, 103144656, 439519393, 289370009, 747704427, -1, 677688623, 792077368, -1, -1, -1, 981123938, -1, -1, 562685589, 606557766, 430709600, -1, 708720853, -1, 162686478, -1, -1, -1, -1, 127640702, 777661904, -1, -1, -1, 348770742, 157314617, 630018561, 293537430, -1, 631837038, -1, 332005616, -1, -1, -1, 253860646, 789655037, 914305767, 660267773, 303257448, 127832388, -1, 667631187, 862413173, 658700989, 400441732, 822061063, 864709110, 944111493, 999472343, -1, 924610279, 474269645, 486444202, 472168515, -1, 993356006, 314192777, -1, 534883616, -1, 803991857, 646719831, 895062458, 58634429, -1, 571536801, -1, -1, 462944115, 838169678, 341741751, 390705329, -1, 255613319, 466214312, -1, 110947307, -1, 717098027, 958405298, 737569558, -1, 267786238, 863487877, -1, 604249394, -1, 586159959, 963339781, 588641151, -1, 779591254, 816283812, 189322615, -1, -1, 916078791, 818914139, -1, 260027823, 928286788, 443813043, 895183760, -1, 632301913, -1, -1, 542874318, -1, 740842390, -1, 674837734, 610367962, 990336883, 185413472, -1, -1, -1, 543407346, 546687195, -1, -1, -1, 654277436, 932132142, -1, 444858653, 537138986, -1, 751574705, 933394917, 102273219, 801582227, 690093468, 207709955, 699403844, 247643079, 903587928, 360975521, -1, -1, 523713264, -1, 975383014, 873359228, -1, -1, 363168962, 211337535, -1, 797546248, 933496474, -1, -1, 807635248, 532502601, 360803614, 511808009, 870908373, 476238266, 412428806, 359187988, 853321545, 721236320, 183879057, 63706139, 981199740, 322684607, 871380369, -1, 654483462, 519927673, -1, 373079158, 441124984, 936434468, -1, 174608041, 947045680, -1, 959338224, -1, 174818696, 475805314, -1, -1, -1, 112109144, 993393992, -1, 8380646, -1, 186821077, 794816438, 139176023, -1, 920727004, 430849371, 675408548, -1, 702449690, 587524430, 752872789, 126492849, 525820588, 555560393, 358440215, 132060047, -1, -1, 167154775, 362617259, 40914674, -1, 258977564, 202152481, 823473328, -1, 787849485, -1, 677291056, 856111730, 589187584, 56627474, -1, 471206518, 660613524, -1, -1, 716049103, 242691954, -1, -1, 801190894, 853786949, -1, 181239119, 24489110, 359820178, 60600597, 461134309, -1, -1, 41611409, 631654631, 551832511, 373045846, 279139102, 595693343, -1, 95129142, -1, 295721031, 622036327, 636130048, 469552601, -1, -1, 325831465, -1, -1, 143351917, 372938102, -1, 178681671, 420899645, 887918849, 297533244, 773614507, -1, 528573779, 68695073, 167501284, 695723630, -1, 760525821, 764772683, 965118955, 6617138, 82238422, -1, 183968134, 500588541, 473351545, -1, -1, -1, 241974830, 896863472, -1, 657476332, 90908856, 983901996, 479977587, -1, 736614067, -1, -1, 29656239, 612387236, 313348479, 471490202, -1, 523409211, 425481182, 66900789, 716672508, 708169501, -1, 330741486, 881820032, 640526608, 517594913, 539520068, 895412891, -1, 34289370, -1, -1, -1, -1, 48710453, -1, 38218202, -1, 526787085, -1, -1, 368644593, 191083109, 858387639, 712892423, 188677568, 713272887, 183058874, 774241327, 236641416, 678000075, 688258691, -1, 855115123, 53004569, 371014810, -1, 689157998, -1, 700930580, 803531686, 525943812, 806065656, -1, -1, 743179649, 148983785, 193541987, 154515254, -1, 395378299, 248754157, -1, 510583963, 786401116, 531045658, 957083544, -1, 56797104, 247251128, -1, 424230614, 30530052, -1, 461699273, 609878971, 96407766, 704871052, 999965317, 314866478, 33531251, 787930270, 445660319, -1, 881073189, 463390587, -1, 996855601, 992870407, 162648371, -1, 823005028, 415076954, 905485959, -1, -1, -1, 443781103, 838865721, 548641226, 410434211, -1, -1, 710848114, -1, 307293309, 878627343, -1, 912129411, 683081483, -1, 754245711, -1, 591847833, 988884040, -1, -1, 735166058, 421351146, 136989680, 333352527, 727263216, 545471793, 970113269, -1, 952946552, 541994310, 781814560, 848623763, -1, -1, -1, -1, -1, 504703784, -1, 426216536, 485105861, 386606705, 663170774, 727643789, 312167619, 758375971, 720032902, 517526808, -1, -1, 279845523, 179480604, 150411749, -1, 2740458, -1, -1, 25762523, -1, -1, -1, 233188085, 256416739, -1, 957954338, 266103857, 112317015, -1, 802047109, 891686513, -1, -1, 86043353, 636899194, -1, 884704626, 428746864, 379533563, 587418763, 248983208, -1, -1, 253818603, -1, 570040954, 59529540, 820608018, 882885507, 415826338, 902846895, -1, -1, 67479130, 126587636, -1, 762721758, 438479785, 402114442, 197131264, 712347055, 967917868, 185448537, -1, 716215260, 806353119, 91194834, 601294605, 710361444, -1, 689096571, 438305450, 770871711, 287475835, 222371653, 509305898, -1, -1, 872809403, 694212965, 379544730, 375026334, 916471420, 828640773, -1, -1, 562037105, -1, 226618703, -1, 862222976, 674830448, -1, 900439578, 752078971, -1, -1, 133442895, -1, -1, 379592095, 779107216, -1, 539314176, -1, -1, 669026348, 745248426, 386421598, 854222090, 665646528, 627394223, 696211177, 446992918, -1, -1, 290909115, 740216797, 787653463, 854959158, 85559725, -1, 672560978, -1, 588555304, 95786321, -1, 830346613, -1, 928623334, 136489186, 783826607, -1, 462923063, 806807403, 786202500, -1, -1, 884391560, -1, 783791775, 590153162, -1, 422926938, 555854207, 360094848, 741225649, 899908044, 440842543, 870507822, -1, 184327228, 384425948, 964148324, 609535241, -1, 358295559, 103691176, 680196014, -1, 519440048, 919680733, 509335243, 598929838, 402407085, 686606851, -1, 563939820, 391629276, 581431334, 110199330, 299848438, 315346624, 389655340, 828833777, 60015565, -1, 801509181, 116262409, 749667734, 228333814, -1, 170012797, 577562264, -1, 569961923, 604127999, 404201611, 821061295, 946893024, 813339788, -1, 479684592, -1, 708425908, 666092365, 687377095, 14072309, 823690801, -1, -1, -1, 365470137, -1, 946592887, 747504810, 366407723, 376277391, 977661613, -1, -1, 655791006, -1, -1, 101473008, 588318468, -1, 265423839, 954222147, 425381868, 841344179, -1, -1, -1, 490644482, 163566682, -1, 327631096, 829128376, 32115888, 987722017, 409260470, -1, 747962413, -1, 644077595, -1, 352882517, 759970430, 6059933, -1, 962180751, 889174345, 606662236, 108071211, 578010426, 662887627, 626302337, -1, 274863306, -1, 885202842, -1, -1, 698563231, -1, 118061441, -1, -1, -1, -1, -1, 976351468, -1, 374423307, -1, 719571465, 694532510, 881715068, 80502597, 98649475, 350320949, 191244351, 526995159, -1, -1, 571709905, 786682647, 853136270, 817868984, 467840266, 431100749, 27883001, 114300570, -1, 809443304, 350710795, 149953068, 789383405, -1, -1, 129234276, 190819286, 702402749, 141026677, -1, 477083339, -1, 242824174, 884912541, 837091215, 600780877, -1, 689991944, 51851482, 47956124, 604905148, 260414197, 737621241, -1, 671006493, 170521971, 2755672, 708319820, 306120098, 89266889, 852701986, 458609929, -1, 447645941, 215619567, 693635621, -1, 684419300, 383900442, 324695031, 621499311, -1, 138890913, 402481801, 284718791, 943517921, -1, 946288117, 426009690, 266989060, 135820780, -1, 746884165, 637268594, -1, 242752677, -1, 599091431, 213581511, -1, -1, 421259076, 834110614, -1, 518049914, 640148898, 602896612, 975498428, -1, 566556628, -1, 136103868, -1, -1, 507517801, 108969142, -1, 995149848, -1, 926270300, 67021094, 262931614, 507400900, 153252127, 511235238, 248278530, 439094083, 138770816, 238338396, -1, 735441060, 767286324, -1, 586954836, 209742631, 896493965, -1, 761550026, -1, -1, 196755020, -1, 432996410, 517923848, 708249930, -1, 16639889, 152893572, 360326906, -1, 331522680, -1, 245312919, -1, -1, 535247641, -1, 996008749, 270884005, 551274429, 597339890, 991332586, -1, -1, -1, -1, -1, -1, 566241432, 499822012, 798880834, -1, 641297886, -1, 994766730, 361527841, -1, 334803513, 800342105, -1, 650340563, 768510918, 262973983, 711203648, 951761181, 239633856, 991559713, 392483793, 960847081, -1, 144135667, 650269110, 541277193, -1, 429766643, -1, -1, 738568555, 832980014, 341361943, 575642800, 440810970, 270639168, -1, 710481285, -1, 7991076, -1, 514107860, 732809498, 630113243, 989488480, -1, -1, 614839899, 696455239, -1, 675502462, -1, 773165997, 428783444, -1, 681633900, 318070731, 773168946, 799624331, -1, 305596901, 297178777, 551038592, 372954217, -1, 662460398, -1, -1, -1, -1, 467535327, 360155983, 489155358, 671233332, 811634670, 599331201, -1, 470365874, 507933352, 757965479, -1, 140629891, 10638601, 601234802, 807300856, 503398674, 483583157, 644875685, -1, 593745553, 771226699, 518633695, -1, -1, 304248829, 369451839, 667214092, -1, -1, 908674754, 965985178, -1, 342309946, 914563412, 647953143, -1, 774812917, 626153636, 984903026, 213066864, -1, 123555645, -1, 377915701, 165232062, -1, 651075918, 596657960, 265705273, -1, 658827332, 633328184, 237350163, 326289985, 610488653, -1, 273160490, 913129811, 640754855, 50976814, 647568038, -1, -1, 357682308, 845877616, -1, 76002780, 843920978, -1, 126667154, -1, 619595830, 27127227, -1, -1, 418915541, -1, 279433826, 38898482, 639453795, 343753797, 723544684, -1, 756697435, 997087686, 619997879, 233512100, 660973515, 862568758, -1, 728562101, 573511044, 914596617, -1, -1, -1, -1, 736659272, 777350070, 12016416, 737102409, 855048447, 275664031, -1, 390151615, 702972709, 57264859, 67007622, 312947420, 844359969, -1, -1, 800069286, 588132115, 254051888, -1, 592065071, 879625300, -1, -1, 49831897, -1, 955785428, 807946981, -1, 333498201, 60355707, 990435852, 753984003, 889277014, 288115862, -1, -1, 877140572, -1, 552186794, 139668687, 9262299, 671825289, 523782055, -1, 181452843, -1, 560364588, -1, 902513640, -1, 608658968, -1, -1, 459610027, -1, 612224330, 13232941, 917541957, 803750754, 165225928, 201759210, -1, 982940413, -1, -1, -1, 195641142, 396528403, 803401245, 951984773, 460154912, 491285656, 293803350, 962681133, -1, 681535942, 241958607, 61370490, 499055063, -1, 275578490, 176935722, 795814952, -1, 262798249, 240261371, 83862006, -1, -1, 892992136, -1, 602531824, -1, 54911450, 526123466, -1, 240642878, -1, -1, 965617595, 657216556, 932457272, -1, -1, -1, 382770803, 643818588, 491312345, 861544931, -1, 803214536, 838418507, -1, 630243561, 443036445, 401446547, 435715798, 173104394, -1, -1, -1, 841771981, 274090888, 213620372, 733017936, -1, 669967643, -1, 812994604, -1, 395624543, -1, 849082877, 89749587, -1, 640638606, -1, 396722634, 879174281, -1, -1, 594066273, -1, 213811133, 483074854, 633202901, 10279206, 756241838, 204439814, -1, 946218835, 721685475, 414659495, 299677098, 813081710, 342937428, 585135755, 438030243, 814876816, -1, -1, 711235702, 50115530, -1, -1, -1, 550354012, -1, 666257239, 826282128, -1, 595020785, 919130957, 932899894, 602560265, 686516415, 367447881, -1, 569795654, -1, 15341536, -1, 647998634, 98088912, 727533589, 271515948, 944774304, 857281782, 331778486, -1, 827319076, -1, 866039751, 356845823, 85831247, 10719812, 630195879, 27853423, 936280426, 434356010, 511105814, -1, 136080013, 682644618, 827654569, -1, -1, 198066236, -1, 505072101, 25356175, 55995284, -1, -1, -1, -1, 475463625, 412874715, 292643330, 181018920, 897501003, -1, 101747163, 317913401, -1, 923080372, 70099115, 619340602, 814621425, -1, 195479860, -1, -1, 872101556, -1, 51015635, 242609730, 9413783, 73657062, 455875729, 96598475, 747024871, -1, 299239912, 252845234, 154365934, -1, -1, -1, 689020799, 551512982, -1, 668353104, 337798317, 325309331, 23795240, 486775367, -1, 698213001, -1, 936591440, 805194087, 845342156, 473059066, 204190975, 542619387, 551558350, -1, -1, -1, 182969009, 658975486, 218417466, 13706384, 524048610, 500933052, 805003401, 902439189, 939499660, 889564804, -1, -1, 407943346, 161005557, -1, 311976721, 654077304, 172031510, 178206102, -1, 747489913, -1, 381328353, 746035911, -1, 39771633, 79786207, -1, -1, 586701822, 803560400, 807581437, 40625885, -1, -1, -1, -1, 263393705, 996851625, 577549527, 606020743, 75336185, 759038207, 364729558, 896762847, 987377154, 912608081, -1, 433912692, -1, -1, 652059484, -1, 932790602, 762699502, -1, 954336110, 625946522, 612637366, -1, 552831134, -1, -1, 791216487, 75385270, 210981981, 720462102, 937855279, 406780342, 814499423, 641023100, 968398188, 379680456, 210283132, 660706571, 75634841, 141708664, -1, 560931045, 490416134, -1, 13094527, 705892612, 640032810, 52632360, 149840378, 656377588, 179633831, -1, 790350290, 982920322, 869728642, 188674726, 324463850, -1, -1, 185128041, 496376218, -1, 332800536, 287039033, 941726956, 798091915, 830985847, 923244705, -1, -1, -1, 755172138, 8727239, 800063187, 341710250, -1, -1, -1, 65130495, -1, -1, 188652279, 37450024, 410839705, 739510471, 351134753, 853459217, 984293085, -1, 590715812, -1, 678033423, 390932986, 322134843, 736611180, 807964398, 673482619, 946889480, 564069380, -1, 518721923, 390965338, 764854578, -1, -1, -1, 692362145, 53292898, 513931260, 899456281, -1, 899543013, 966264077, -1, 740327060, 15620053, 420367789, 311378701, 521484137, 26107319, 404066513, 999474754, -1, 22728496, 475669734, 882228868, 225509267, -1, 90508996, 880938425, 5184535, 663651667, -1, -1, 388368886, 329244949, -1, 11663007, 912191562, -1, 293672292, 31800506, -1, -1, -1, -1, 874971099, 857042406, -1, 123861975, 970879440, 221017454, -1, 205118784, 895604366, 399570656, -1, 503880144, 323710426, -1, 925626367, 825174195, -1, 740740197, 921587804, -1, 382673865, -1, 189827103, 575614528, 935482570, 762653432, 265701201, 630041716, 951356689, 988113146, 762543957, 228046941, -1, 759864567, 957112993, 837910862, -1, -1, 335266394, -1, -1, -1, 552159340, 53111304, 804259114, 664950045, 580274337, 290422011, 337848344, 530604205, 24101236, 694219972, 90774847, 587315486, -1, 574650869, 893221907, -1, 345780071, 76749370, 235292334, -1, 93881763, 283827722, -1, 897412689, 305125417, 338724385, 539918026, -1, -1, 352132631, -1, 116352135, 266975536, 908511375, 35764149, 148073991, 229433414, 19877511, 988986799, 964287889, -1, 875244756, 340308353, 287860143, 189650851, 376875587, 678444648, 250979778, -1, 868355027, 658056144, 981744733, 46165823, 370303116, 853935292, 930064628, -1, -1, 773378167, 494361412, -1, 245111723, 858287314, -1, -1, 100371821, 166915520, -1, 401532001, -1, 828462966, 280906968, -1, 312758557, 245430047, 297790408, 59077470, -1, 22180935, 271547949, 184516282, 91629364, 175184042, 335098637, 992852972, 426943842, 25227191, 189357220, 162159646, -1, -1, 139021869, 133154647, -1, 761797145, -1, -1, 163269892, -1, 688181282, 289414343, 359950292, -1, -1, 128408952, 673255046, 749039301, 947727674, 417834656, 601992858, 402640315, -1, 897976772, 963945876, 695234302, 320712416, -1, 420165258, -1, -1, 32874975, -1, -1, 814901767, 645870958, 448629224, 236790980, 981359677, -1, 203222974, 3265293, 470715175, 922278852, 90679145, -1, 700644045, 965224865, 576969488, 931578650, 300713786, 661279195, 884805352, 228851178, 753983668, 910023096, 846719409, -1, -1, 217538837, -1, 612760639, 944258186, 833724605, 410098956, 451373396, 690161321, 744707511, 405489665, 803019866, 306474231, -1, -1, 966160484, 729107720, -1, 439315885, 788933953, -1, 212266280, 597803459, -1, 835464603, 250949835, -1, 367310746, 773664615, 534377572, 115136549, 190692240, 350788656, -1, -1, 482090239, 892836941, 637950558, -1, 486266539, 69007289, -1, 519491720, -1, 434232036, 875209489, 813468155, 482941003, 688853486, 298682758, 862422213, -1, 962709954, 325347659, 531106291, 665992717, 376055293, 702197200, 590240817, 133544590, 836957053, 496652086, 882568487, 974757782, 714928360, 54223886, 706599965, 988402660, 125115479, 423473983, 639137094, -1, 115688203, -1, 780424838, 5537199, 305756991, 803520818, -1, 727951306, 910247674, -1, -1, 605900038, 611692871, 26829596, 848497706, 249303007, 755507064, 452186126, -1, 718062877, 934148059, 975848244, 92214146, 717156886, 636356653, 185279648, -1, 582648925, 427499549, 521463945, -1, 913730539, 556272153, -1, 773233319, 304056731, 732316486, 607988268, 527187960, -1, 149600169, -1, -1, -1, 645871064, 272868795, 925802157, 392587980, 231524727, 599301233, 484332906, 704021323, -1, 549923276, 698970537, -1, -1, -1, 44656904, 705105597, 621141154, 134649467, 44840, 155938064, -1, -1, 666552599, 997527262, -1, 612367286, 330880255, -1, -1, -1, 467519212, -1, 443096448, -1, -1, 902564170, 143152865, 51801688, 119141276, 631647428, 686747338, -1, 998686923, 958418695, -1, -1, 144926105, 214753264, -1, 501500333, 639468049, 717192140, -1, 306503536, -1, 290430464, 165311157, -1, -1, 998623549, 75173639, 614201049, -1, 499106748, 386267137, -1, -1, -1, -1, 975879831, -1, -1, 757268788, 30073484, 100388259, 936006731, -1, 506810111, 669197107, 814354809, 622406952, 944761765, 330740390, -1, 643066132, -1, 412501244, -1, -1, 460605203, 406093913, 879635119, 498838344, 713678743, -1, 331038847, 436439480, 889887908, 173603152, 58659125, 956463372, 11154393, 989414346, 861389627, 393137612, 778895313, 903680655, 222365298, -1, 899513080, -1, -1, 134200039, 731260653, 35709990, 648420008, 809815823, -1, -1, 953509191, 139345984, 280229544, 135682020, 776363600, -1, 844133173, -1, -1, 234117420, -1, -1, 145892072, 29409140, 714478103, 404757482, -1, 629896668, 841169470, -1, -1, 212821845, 626941167, -1, -1, 924766211, 501035799, 428089709, 713391989, -1, 582980328, -1, 265996883, 228610452, 954522053, 365384365, 134129689, -1, -1, 119428566, 878914181, -1, -1, -1, 88355090, -1, -1, 264876655, -1, 909501138, 342306683, 450443164, 999721140, 656774028, 254213022, 612927095, -1, -1, 269365274, 796012060, 62313328, 627705348, 695566994, 230453225, -1, -1, 992456001, 979283129, 200342386, 64611878, 794258666, -1, -1, 638663253, -1, -1, -1, -1, 647445599, 72608315, 804729991, 843222672, 794065570, 37487809, 303325781, 167706461, -1, 441157294, 403154649, 494744136, -1, -1, 950403378, -1, 873284725, 169107628, -1, 17872215, 784434932, 694554399, 858068663, 646733446, 852233970, 25266688, 686637189, 393316405, 156657791, 55758768, 858206777, 682030358, -1, 112647394, 743382196, 836191697, 820710441, 52878634, 953490258, 673548100, 771322040, 271180092, 634959577, 819468646, 330666363, 112986057, -1, -1, -1, -1, 326229407, -1, -1, 449244560, 335669290, -1, 439403422, 683099662, -1, -1, -1, -1, 99139460, 763407717, 314546357, -1, 128911173, -1, -1, -1, -1, -1, 378585562, 568796784, -1, 602648641, -1, -1, 837555356, 876871962, -1, 327006900, 653121359, 801752033, 491605456, 493818989, 595191318, 278245224, 881006029, -1, 951581166, 557462674, -1, 356958860, 626288649, 767013507, -1, 341457159, 481170031, -1, 485309070, -1, 635211880, 413862247, 223458848, 669862743, 205535524, -1, 804235870, 466632932, 513427302, -1, 829842016, 655599543, 72535041, 970563122, -1, 667201012, 478981507, 15573439, 577780140, -1, -1, 272471750, -1, 235867417, 824597979, 446361274, 403896025, 333356436, 766568544, -1, 91310841, 959336643, -1, 9420663, 636482277, 787518956, 298101470, 229065420, -1, 581891976, -1, -1, 595314681, -1, 482547133, -1, 660127514, 856138025, 965896190, 693952555, 913490360, 241535443, 400182356, 269255583, 293643443, 123619457, -1, 637921295, -1, 488295998, 113512202, 680702544, -1, -1, -1, 245865175, 466583542, 958731443, -1, -1, 793549299, -1, 76443697, 840483919, 541217001, 214779232, -1, 865553593, 876246269, 104559765, -1, 447193534, 854228290, 190175850, -1, 479009546, -1, -1, 7401491, 703701466, -1, 272224930, 552445444, 432732069, 265329389, 113787173, -1, 684033230, -1, -1, 318496499, 509277578, 523472754, 163444597, 744287542, 211610432, 751044252, 532100501, -1, 685755284, 788476243, 436391089, 714449536, 415441154, 869152408, 461009111, 473757037, 793658749, 786151165, -1, 239594662, -1, 953167246, 684897376, 451640072, 490454795, -1, 423390203, -1, 728022363, 973951436, 692589270, 243044918, 324206262, -1, 308289768, 954484683, -1, -1, 978348488, 254244330, 556428678, 567896791, 513394095, 948086807, -1, 888911278, 491631550, 903278192, 60631300, 801171591, 461319937, 934625888, 686345971, 412500016, -1, 359808865, 220001422, 14291280, 743244897, 906092676, 711805739, 28542617, 679245234, 872254888, 471448950, 769484853, 583450648, 874565579, -1, 365555455, 410382565, -1, 571097043, 76719823, 12535621, 406591320, -1, 330465347, -1, -1, 53713847, 248875356, 342557167, -1, 52682225, 110572448, -1, -1, 40665593, 793510471, 873392933, -1, -1, -1, 857599215, -1, 510761072, 269019305, -1, 623259453, -1, 998571695, 556448253, 681892213, 991637909, 494794586, 319813124, 951254272, 376267294, -1, -1, -1, 568201017, 854211089, -1, 423325113, 208709014, 18916848, 541058655, 255392943, 568551954, 8685423, -1, 12125206, -1, 236154584, -1, -1, 303807913, 93176727, -1, 260154787, -1, 9146011, 537971967, 323227977, 505302532, 906390204, 273661682, 6693661, -1, 507740539, 825671672, -1, 857545899, 798826803, 69224703, 12119591, 896644878, 950929675, 912222143, 871544310, 693426255, -1, 717010451, 141469484, 397635641, 115312776, 290917922, -1, 349401871, 90380930, -1, 985313887, 192930207, 223435348, 555917082, 495778706, -1, 865589794, 111666517, 159482591, 635438834, 306191536, 315324675, -1, 167826669, -1, -1, 968977319, 442588114, -1, -1, 343228467, -1, -1, 905798474, 507580150, 442883534, 911724342, 949214089, -1, 139766532, -1, 193797965, -1, 571563343, 77485211, 493353613, 659288780, 274193856, -1, -1, 620512477, 309574267, 166614639, -1, 501072576, -1, 288496834, 18329029, 398390612, 227460708, 683544604, 870648823, 996680733, 758734622, 604790279, -1, -1, 373007391, -1, -1, -1, -1, -1, 983988481, 214183559, -1, -1, -1, 487764223, -1, -1, 228996905, 425035158, 981615424, -1, 683925791, -1, -1, 710517762, -1, 986949456, 101997272, 676084207, -1, 383342138, 457728409, 524826936, -1, -1, 151999947, 813698226, 293457167, 305793547, -1, -1, 291862482, -1, 531141936, 848971919, 655576811, 313364557, -1, 259928389, 788374865, -1, 556440840, -1, 297023209, -1, -1, -1, 603058037, 302561991, 698209202, 915436480, -1, -1, 118035584, 991126989, 495288263, 851558542, 947209830, 393703999, 683063907, -1, 134047727, 870648506, -1, 673173784, 152017438, 487322200, 758717455, 616253781, -1, 896049340, -1, 179274872, -1, -1, 326383987, 372892780, 677190839, 525086711, 351283158, 768820340, -1, -1, 604513546, 754093054, 340865971, 564018682, 409867760, -1, 898627716, 702561317, -1, 330259976, 410322540, 691063913, -1, 654134168, 103464844, 668518207, -1, 866494034, 948316393, 349363230, 565899737, 140332088, 493067540, 926661263, -1, -1, 560972055, 977366954, 752180534, -1, 95184221, 652840876, -1, 674236683, 150594505, 523651093, 992623005, 762806889, 998125634, 669754164, 677413997, 140197306, 202228645, 967504739, -1, 273040988, 611395508, -1, -1, -1, 298702720, -1, 431688692, 862830960, 733828780, -1, 929583680, 541443544, -1, 564891273, 697463913, -1, 562477926, -1, 804138462, 429636375, 674490598, 216771067, -1, 644913991, -1, -1, -1, 918260577, 472529086, 843264411, -1, 183684605, -1, 680935170, 652451833, 67797976, 37332862, 997950436, -1, -1, 57724464, -1, 375377509, 498720712, 824849155, 977275790, -1, 788524911, 419151039, 244347370, 262848674, -1, -1, 653075352, 355861087, 906028906, 605641690, 4530178, 504282890, 956719220, 409180633, 458160175, 818087270, 724040497, 194655955, -1, -1, 988342050, -1, 674375084, 631784760, -1, -1, 419136111, 897186713, 850136516, 939990955, 390759480, 522909579, -1, 784246219, 339163783, 420620285, -1, -1, -1, 654735566, 374039340, 308150271, 619789526, 176935047, 884125629, 793790126, -1, 553785964, -1, -1, -1, -1, 506139729, 25969284, 667693351, 298220507, -1, 546574298, 338124360, 592200083, 720535799, 664519197, 629311136, -1, 401810329, 234538709, 164134703, -1, -1, 150180737, -1, -1, -1, 600232128, -1, 257956680, 395696468, -1, 124200585, 693676945, 798514223, 934836207, 816725141, 578519328, 539663039, 316910353, 793702227, -1, 231637577, 852004941, 949728149, 962315750, 688901692, 898839018, -1, -1, 421342972, 954073241, 445614854, 190789410, 477074728, 343732046, 287244957, 292149830, 886114253, 809109632, 957046935, -1, 898591646, 49715281, 74376051, -1, 787353146, 569917879, -1, 627515105, 671342975, 670371675, -1, 313682207, -1, -1, 130535906, 828979646, 511773703, -1, 54073383, 470477864, -1, 175951310, 681857206, -1, 476093857, 749503118, 620017259, 167183373, 237828291, 394786240, 99511889, 464346404, 947714718, 283567823, -1, -1, -1, 617180054, 320174571, 979387815, 953835741, 42049728, 237350157, 917522157, 661166675, 367883848, 252746733, 437618380, 934860538, -1, 845355996, 569879081, 566794739, -1, 988598048, 606686943, 61572660, 553074593, 921111338, 290144006, -1, -1, -1, 760153109, 646906997, 540294274, 305194052, 845964271, 843303423, -1, 666470148, 967298161, 592752090, -1, 320104986, 776330149, 411234810, 99244197, 225511838, 417679502, 559625198, 94397674, 417219609, 641905728, 507188547, 376171393, 587299497, 39610807, 415165951, 344246294, 334219849, 318753860, 559200340, 38638013, 381097695, 145578443, 155012444, -1, 622202481, 105459425, 491725775, -1, 591343042, 72262708, 535047314, -1, 336978777, 398526424, 507096085, 825820791, 298458234, 795415317, -1, 766469384, 745542900, 617222788, 677929425, 181900100, 944059955, -1, 704683703, 586694339, -1, 869397561, 896878938, -1, -1, -1, -1, 806025572, 644403381, 963961443, -1, -1, 886041962, 920729389, 338214455, 287991447, 902268118, -1, -1, 799304217, -1, 286457390, 316760126, 795172559, 803362384, 939893945, -1, -1, 449494197, 961749523, -1, -1, -1, 196717303, -1, 945168427, -1, 815267304, 868974359, 269402381, -1, -1, -1, 435103760, 523040904, 952777933, -1, 847976179, 694042454, -1, 409454719, 387952761, 51329379, 739858611, 621611551, -1, -1, 657783267, 925493158, -1, -1, 685355088, -1, -1, 553036862, 539610754, 242383019, -1, -1, 773037161, -1, -1, 122155674, -1, 148432260, 815459499, 765417622, 219659555, 13793295, 274472442, 944853059, 664495350, 405808666, -1, 124185714, 874232292, 932230189, 470135406, 454994442, -1, 719248937, 213038982, 143698055, 444706880, -1, 841962621, 392543590, -1, 65587991, 81955945, -1, -1, 189267391, 227888972, 612743662, 484859302, 642796007, 730161184, 987185306, 592908816, -1, -1, 883077613, 141294144, -1, 520175073, 728130973, 538816854, 769953938, 646438224, 239661551, 785189843, 153735774, -1, -1, 278517914, 31999340, 838086766, 651461579, -1, -1, 377036420, -1, -1, -1, 55125479, 433739796, 280040340, -1, 447450669, 244151903, 855466109, -1, 757750513, 522590454, 593117739, -1, 543446480, -1, -1, 817919091, 49584660, 405243845, 714165371, 306088188, 693300878, 341486939, 434924766, 273376951, -1, 91456871, 966773576, 451046415, 870233121, 840142551, -1, 469633824, -1, 870685689, 574050806, -1, 419003258, 918116113, -1, 526164203, -1, 174472380, 56381831, 588285348, 11887676, 754672588, 622252439, 842747595, 638867067, 592137253, 309343857, 438391438, -1, 735619815, 739678511, 494302965, -1, 626454514, 140354739, 282173597, 599394027, 871932095, 947231600, 466182828, 377576330, 181526452, -1, 691697735, 743875155, -1, -1, 8755833, 863809577, -1, -1, -1, 252753639, 9516288, 23952320, -1, 814500499, 384573235, 969482733, 920874744, 996769423, -1, 304722231, 310896746, 321745161, 415788167, -1, 162735915, 634752787, 802615670, 956563713, -1, 988323806, -1, -1, 877822238, -1, -1, 977654834, -1, -1, 769484249, 408807879, 253121858, 74749730, 912958191, -1, 989571030, 987066528, 141925469, 763728844, 37025243, 307081114, 20989044, 981150458, -1, 214453015, 165423550, 360786544, 48633356, 320259596, 50744650, 681235261, -1, 311038499, 880413398, -1, 642397974, 586570619, -1, 68466882, 182458061, 962742298, 253538702, -1, 946572341, 122473712, -1, 703780665, -1, 271211527, -1, 391553805, 220785947, 324889880, -1, 911078569, -1, -1, 358939333, 451263349, -1, 997991847, 641986163, 82710273, 906912667, 719688146, -1, 722530100, -1, 396243131, 14135024, -1, 895076830, 742265500, 227139931, 121227552, 575487838, 1495189, 371228592, 185501321, 729135217, 950675128, -1, 905270803, -1, 383980034, 761084669, 255525398, -1, 777426791, 526382997, 464883225, 827641031, 109031231, -1, -1, -1, -1, 780411080, 661387494, 936542423, 312076003, -1, 564854614, 942679124, 325542158, 457460678, 466604805, 674983140, 542299655, 207480923, 576526061, 936303113, 813428359, 744254012, 106566689, -1, 616648865, 242885730, 764091269, 466213127, -1, 604410608, -1, -1, 532665546, 383685845, 778809538, 343006073, 252863777, 640842935, -1, 309820608, 922661402, 270885032, 136649591, 111516266, 778722797, 219251160, 617801492, 436717732, 702528633, 303825997, 697865434, 202783880, -1, 558261950, 122121517, 933831508, -1, 777525628, 752841667, 356673833, -1, 331036233, -1, 697354510, -1, -1, 482825123, 486443979, -1, 896464741, 851620876, -1, -1, -1, 379282271, -1, -1, -1, 773076425, 988153875, -1, 137189995, 791429087, 769518795, -1, -1, 292511061, 447969636, 745917095, -1, -1, -1, -1, 261235806, 891394724, -1, 690920081, 20625029, 260275355, 440960829, -1, -1, 721777103, 545617930, 865336710, -1, -1, -1, -1, 123935297, 472108866, -1, 582777262, 64177843, 337002398, 559196565, 106750843, -1, 45617821, 753134966, -1, 743094776, 455648408, -1, -1, 423351453, -1, 651720395, -1, 886700146, -1, 566791499, 66062104, 834080699, 362878936, -1, -1, 474764341, -1, 431618834, 893707813, 171271304, 666607745, 42867863, -1, 282298385, 529777797, 625233735, -1, -1, 988500945, 421705492, -1, -1, 714073653, 466204069, 49931377, 217061741, 331384924, 904423886, 331540765, 742836335, -1, -1, 37859141, 604225549, 52992310, 830160727, -1, 95771633, 845435534, -1, 392696616, -1, -1, 23277600, 569132921, 854754764, 33194705, 595592173, 258916101, 58088085, 515419494, -1, 382022169, 662418063, -1, -1, 343103630, -1, -1, 732636432, 173422559, 759497559, 262809988, 361239313, -1, 201313253, -1, 835271627, 404931436, -1, 541259216, 645692268, -1, 504280625, 623590225, 439673669, 293874220, 210022696, 789185392, -1, 435371778, 626325670, -1, 685929728, 931834703, -1, 739104260, 808992522, 479580774, 109406260, -1, 492394482, 260516185, 922352999, 453452069, 921007401, 140621084, 88479147, 294274464, 368648267, -1, -1, 668692177, -1, 559092218, 116199168, -1, 565263492, 717679694, 932530777, 129210997, 153058951, 994674468, -1, 365733111, 46931837, 409243910, 271325454, 757551977, -1, 175698040, 603158611, 612098019, 44598405, -1, 438286681, 703702416, -1, 667252309, -1, -1, 166440533, -1, 184827638, -1, 447544462, 50434551, 509756276, 754565482, 222224127, -1, 442479446, -1, 80609040, 700157054, -1, -1, -1, -1, -1, 347647601, 706220131, 153510251, -1, -1, -1, 796447072, 574994740, -1, 684125297, 198845362, 309229666, 751922631, -1, 352731958, -1, 127375883, 604982198, 298816109, 957357754, -1, 517473621, 115126104, -1, 953936760, 721969921, -1, 515325215, 167659830, 810697478, 705434294, 251397231, -1, 619923736, 834573625, -1, -1, 410911965, 992785803, 775446339, 714123843, 970188141, 360342878, -1, 639767057, 211829192, -1, 781436869, 747947851, 305614483, -1, 560625664, -1, -1, -1, -1, -1, -1, -1, 195656843, 888515574, 419396405, -1, 165912140, -1, -1, 784018058, -1, 116046155, 30719156, 132283222, 268556149, 288522394, 239185336, 133543296, 976988881, 724169994, 855750257, -1, 943321502, -1, -1, 503464146, 607280850, 741872065, 277915424, -1, 571835931, 978712266, 330663808, 689159530, 673073068, 219494851, 21616085, -1, 356388438, 611659788, 797870486, 512913815, -1, 222890098, -1, -1, -1, 545802523, 178255013, 405073658, -1, 647312659, -1, 944850262, 175777552, -1, 791674711, 689837686, 528244297, -1, 919495985, 228479785, 637428795, 871213461, -1, 632358469, 44850191, 245497434, 530918545, 539474973, -1, -1, 965414338, 465707456, -1, 604560522, 31736414, 848111136, 289145444, 686424800, -1, 17932739, 370744505, 479670553, 559791235, 505042453, 955574690, 99380690, 766935009, 342547819, -1, -1, -1, 383946467, -1, 582419734, 358819691, 152044846, 715517076, -1, 128637609, 323119444, 831195455, 566081417, 781614179, 330244311, 519220814, -1, 371416199, 543533518, -1, 287745611, 691488808, 530549242, 686760995, -1, 963995618, 424470176, 330142255, -1, -1, 286385585, 696895394, 708255909, -1, -1, -1, -1, 645123591, 338859261, -1, 250079158, -1, 101933716, 469017439, -1, 662326959, -1, 633538017, -1, -1, -1, -1, 777743475, 153421375, 891753373, 756303824, -1, 583651240, 632761152, 915352169, 346702692, -1, 268985266, 816166266, 230385202, -1, -1, -1, -1, 533281458, -1, 702550417, -1, 289248783, -1, 354741592, 81684504, 693783705, -1, -1, 542481636, 162669635, -1, 147091403, -1, 842231042, 467839223, 55424315, 485070414, 452794928, 752050338, 237682542, 591587564, 181883547, 295881081, -1, 555923233, 593475068, 625234958, 274813478, 372365128, -1, 643293758, -1, 581554770, 256687364, 223077069, 758672734, 904721539, 14441618, -1, -1, 792438928, 188581347, 161125941, -1, 9301638, 156959484, -1, 69960333, 597593478, -1, -1, -1, 106475755, -1, -1, -1, 909907260, 228498365, 504538384, 370189238, 827214759, -1, -1, 392537446, 894724101, -1, -1, -1, 729565206, -1, 763568204, 136839178, 897513687, -1, -1, 590453958, 328027374, -1, 667647060, 208720830, -1, -1, 872111562, 117897529, 185733823, 177553454, -1, 656719541, 742180827, -1, 445403799, 360330240, 471470423, 614652953, 582981012, 750041142, 766650303, 457390661, 122720273, 945161595, -1, 428093912, 874030913, 254492890, -1, 608591869, 297941050, 142541407, 662900882, 390217337, 579538859, 387192218, 631549724, -1, 684074835, 757716987, 460528702, -1, -1, 872371642, 229006013, 67976684, 30211999, 168737988, 499911387, 447788924, 15349197, 694375712, 927556530, 553261261, 208979304, 84238613, 423241694, 933025116, -1, 261766175, 357499991, 64147640, -1, 956303553, 637062954, 256179973, 214986351, -1, -1, 533874229, 103688757, 448361912, 236600117, 702498807, 562508530, 435022709, 100007723, -1, 539992449, -1, 163666647, 509579418, -1, -1, 677436276, 724277835, 928396255, 88875703, 660861212, -1, -1, 250982699, 147712104, 864191410, 240773609, 347103257, -1, 21784669, -1, 442113180, 633830690, 158044950, 688581836, 341626137, 309608483, 917377729, 571807799, 588152860, 92423901, 88309500, 379913707, 417437972, 881284520, 699813311, 739485359, -1, 724712039, 404330015, 857440201, 924342723, -1, 111266134, 853991979, -1, 255020430, -1, 743095042, 449391073, 464841449, -1, 644036444, 520028257, 955518405, -1, 230009611, 198741550, 827177590, 18351960, 852939756, -1, 620441000, 557373491, -1, 845975037, -1, 186034130, 584083797, 979514178, 462080368, 695656465, 800617854, 487423923, 11808268, 723907005, -1, -1, 264469703, 981851059, 774323424, 13562737, 950351486, 29483785, 388638788, 960464779, 70792834, 537121167, -1, -1, 874894396, -1, 627640231, 476749292, 334536089, 608393832, -1, 507167311, 357134398, 251166023, 264467724, 636992720, -1, 717818879, 363010436, -1, 10098661, -1, 112044579, 814890306, 21552967, 640942165, 453417683, -1, 670374313, 783739790, 736868187, -1, 473868228, 136211937, 718973130, 951022422, -1, 63158948, 219269908, 621238263, 30747866, -1, 615404013, 295912005, 369155997, 169252063, -1, 826392017, -1, -1, 989091326, -1, 90981442, -1, 129847771, 700165626, 255676279, -1, 451370308, 441955401, 69293314, -1, -1, 766279081, 470749266, 535136867, 83432494, 442984717, 596460309, 114995616, 658690206, -1, 555659458, -1, -1, 77610024, 242363170, -1, 52633858, 901842818, 616070211, 853787524, 164884233, -1, -1, -1, -1, 352745697, -1, -1, -1, 351611915, -1, 521778474, 820228011, 174019456, -1, -1, 165448691, 126491560, -1, 691388083, 183925251, -1, 339196828, 425731887, 873318693, 766176699, -1, 715921855, 965295821, 653390067, 62133697, 45242439, 357865827, -1, -1, 605389648, 238341398, -1, 888039900, 356779217, 851100886, -1, 673108385, 665362389, -1, 233972803, -1, 156040769, 76101160, 8034032, 658298317, 103528709, 543129273, 291149414, -1, 612421521, 202780809, 537127095, 659049555, 549297525, 442158738, 500116210, -1, 677864870, 29887686, 51263459, 622698019, -1, -1, -1, -1, 390817593, 538973880, 115130472, 621552458, -1, 216671222, -1, 231700091, -1, 308251125, 54720185, 541681365, 928172580, -1, -1, 355410245, 961029096, 308153015, 75386657, -1, 430935307, 945134730, 554733958, -1, -1, 544971344, 770727082, 266062645, 126447594, -1, 850526394, -1, 481447578, -1, 369063475, 494412207, 209744720, 987582112, 671698672, 173335177, -1, 802788233, 707283582, 53490603, -1, 755072764, 468437898, 333153796, 938270076, 211923103, 171552009, 658945241, 311151701, -1, -1, 464626958, 446453516, -1, -1, 819520839, 806905588, 495477220, -1, 619016053, 591896986, -1, 798807512, 429130998, -1, 602346362, -1, 966840248, 698376158, 974588828, 530969350, 963899751, -1, 458235304, 217954555, -1, 250203719, 161097898, -1, 537432323, 85003600, 239181218, 556872182, 384147148, 188584864, 549573572, 461180293, 375783801, -1, -1, -1, 288817568, 791493520, 383349843, 849531333, 237242123, 456696977, 663469911, 249673798, 314744276, 707395451, 699462845, -1, 822535454, 950071379, 421435725, 995196864, -1, 20344932, -1, 4073903, 746424713, 93978045, 6672579, 999781086, -1, 947907539, -1, 566939214, -1, -1, 533234208, 622442871, 37751101, 346086090, 1091106, -1, -1, 906947132, 725007265, -1, -1, -1, 942391704, 226421739, 200073997, -1, 241677584, 789756619, -1, -1, -1, 524783636, 99345908, -1, 138280755, -1, -1, 281664007, -1, 557469295, -1, 578295351, -1, 591961012, 159449293, -1, -1, 296117328, -1, 796938344, -1, 230952232, 943965171, 304425789, -1, 641082729, 4225697, -1, -1, -1, 720119180, 273058422, 724703648, -1, 426754957, 850912386, -1, -1, 565302658, 920455842, -1, -1, 206311672, 607571591, 860933352, -1, -1, 391518941, 774264159, 489996217, -1, -1, 774062269, 887306204, 335708665, 115052545, 74910067, 286157990, -1, -1, 24676012, 136011022, -1, 119616481, 776580542, 40679818, 668353854, -1, 813667418, 33978485, 714427717, 574719496, 23035152, -1, 64196340, -1, -1, 573782415, 550536722, 641626294, -1, 725637824, 989851795, 332067660, 32022276, 411401766, 129914750, -1, -1, -1, -1, 581755465, 397953418, 357386349, -1, 613963906, 157478870, 553250188, 137119564, 737433138, 369012085, 222160791, -1, 856452110, 384545919, -1, -1, 847413408, 36592523, 718165511, -1, -1, 836354022, -1, 189406399, 333758498, 424880168, -1, -1, 625933860, -1, 186995586, 467314357, 185787823, 787894285, -1, 821616103, 400183539, -1, 387768283, -1, -1, 204454269, -1, 75245494, -1, 937124157, 425515859, 453484984, 792948847, 408113626, 871698350, -1, 214501464, 422552393, -1, -1, 48682070, 534802341, 670827970, -1, 704485318, -1, -1, 119175374, -1, -1, 23240441, 899987948, -1, 709810745, -1, 898427372, 852280406, 66412598, -1, -1, 301409345, 466162193, -1, 556253001, 573601063, 506812931, 975719801, -1, 908990729, -1, -1, 531559334, -1, 12452060, -1, 350425734, 827671801, 573618970, -1, 103825661, 802863844, -1, 837279263, -1, 532406575, 28104328, -1, 819821311, 425763446, 321327394, 318896343, 978824075, -1, 874914061, 558611001, -1, 749930822, -1, -1, 468927403, -1, 441828717, 32761975, -1, 791260045, 490095750, -1, 859046126, -1, -1, -1, 114938206, 496607963, -1, 63172314, 760854661, -1, 144675823, 481687181, -1, -1, 161971567, 542758661, -1, -1, 32706262, 805088944, 681955101, -1, 267856783, 633425402, -1, -1, 580148264, -1, 495407535, 28121986, 862889833, 166890777, -1, 796035183, 543031753, -1, -1, 354434301, 432779615, -1, 805483767, 677747756, -1, 684511865, -1, 320865246, 998237437, 223502200, 44382299, -1, 509713204, 574886638, 433268209, -1, -1, -1, 551158022, 814748820, 956457719, 584141210, -1, 870036071, 186880550, 18305496, 168719081, 191827266, 672415044, -1, 134344034, 103122814, 364196842, 479980660, -1, -1, 928850496, 691099867, 369692879, 613533826, 619903578, -1, -1, 345099196, -1, 181497997, 130896382, 394731503, 52644153, 657694200, -1, 909186684, 67419846, 638334489, 307967298, 106743536, 304966782, 392195036, 466862907, -1, -1, 223092333, -1, 681885954, 802460698, 397608897, -1, 519535996, -1, 138485649, -1, -1, 563670354, 536310253, 199887781, 838724394, 503029562, 602822458, 739107773, 415709581, 619368144, 919372932, 457810942, 103864932, 835626244, 850768050, 446892043, -1, 357376855, 493974574, -1, 999510721, 446213444, 314633062, 454618131, 259335587, -1, 532945863, -1, 128717315, 621612630, 603944697, 633606951, 771627956, 207259744, 199533360, 928617890, 664439522, 884913403, 932811603, 393734856, 634051974, 513666986, 813358033, 971440513, 313019685, 774968300, 738350428, 595320052, -1, 876885380, 177475890, -1, 420791598, 679527831, -1, 615782974, -1, -1, 383166897, 458727377, 647544112, 815917329, 763099548, 338016403, 481982738, 833371872, 166463679, 475545661, -1, -1, 867539894, 235778322, -1, 440129379, 988564816, -1, 452288100, 113603301, 622635912, 736660677, 740873285, -1, 606192984, 792938344, 575127880, 659324639, 503159774, 817652264, 789310381, 535936489, 284998563, 821477844, -1, 861092468, -1, 329054772, -1, 339692047, 358770544, 465619556, 140000853, 704886237, -1, 204555257, 666004647, 870421455, 663790461, 293446756, -1, 256103313, 892318177, 663173586, 388508930, 890510488, 123961725, 961785465, 273453510, 437276674, 587020319, 888137222, 146044145, -1, 948729053, -1, -1, 356922763, 652134631, 547895390, -1, -1, 132111723, 181180912, 40259470, 293204353, 772233848, 31198624, 91891542, 289248618, -1, 257167018, 640747986, -1, -1, -1, 476009782, 362516852, -1, 457907373, -1, 528475671, 184949462, 160681261, 1511747, 166669020, -1, -1, -1, 733251357, 145173825, -1, 709991734, 437905098, 880679545, 447916249, 728372376, 282340122, 447659192, -1, 538483488, -1, 580561396, 672300570, 242920088, -1, 115022992, 568489643, 306806584, 24930733, -1, 636040592, -1, 923800670, 208345551, 678288020, 918260020, 249494319, 611565980, -1, 130704107, 828471160, 955424794, 980939427, 703032906, -1, 106961421, -1, 186189350, 451026338, -1, -1, -1, 128100967, 855494388, -1, 708047059, 984265199, 923217052, 220377770, -1, 267094695, 814610450, 871324740, 297046336, 80998448, 403280552, 468392061, 877879343, -1, 68100439, -1, -1, 720433326, 646407346, 51088391, 65443324, -1, -1, -1, 440760662, -1, -1, 218736844, 952566591, -1, 229789798, 922862240, 942868223, 990208137, 843163825, 623556527, 39881295, 166015641, 511869374, -1, 618996738, 917467189, 592602803, 655376967, 686953354, 197466187, -1, 713687252, 512108183, 656878132, 958766303, -1, 336487543, 151809185, -1, 406636035, -1, 557713933, 895579539, -1, 280947621, 95446751, 165007553, 225759610, -1, 196014129, -1, 844325913, -1, 5872139, 919919646, 561885674, 702532421, 232495430, 183276555, 536635139, 148011021, 25999205, 79130956, 464923511, -1, 275364315, 910201705, 255275250, -1, -1, -1, 968394988, 241791772, 845800562, 295717434, 565256781, -1, 245711189, 920393223, 467135706, 370323385, 470696477, 316723869, 825124561, 156706361, -1, 880905041, 287209920, 670567935, 542552436, 636143034, 259043039, 455971591, -1, 118234825, 511236683, -1, -1, 925999549, -1, 818814024, -1, 867021616, -1, 663302224, 350064422, 864230495, -1, 603062787, 64916300, 96044473, 204873441, 792026335, 435690081, 35849617, 833676850, 128178315, 194858124, 89993980, 465752478, 206890733, 772021939, 65712616, 122995169, -1, 37163999, 503552159, -1, -1, 19906524, 890649630, -1, -1, -1, 696486929, 484156958, 79789513, -1, 35650315, 702876300, 479672841, 623873935, -1, -1, 623492869, 937740012, -1, 179387326, -1, 788428594, 266090291, -1, 230615897, -1, 549855083, 888022737, 914040315, 898556847, 67763530, 822127513, -1, 694692791, 405825991, -1, 517330713, -1, 130273110, 407276912, 779695700, -1, 686050733, 721018009, -1, -1, 267097099, 187220680, 5261681, -1, 947459416, 75503946, 582782535, 33147055, -1, 232168494, 943548029, -1, -1, 554812290, 27994966, 488619634, 907513547, 452255643, -1, 9783012, 462429702, 286397033, 492699261, 234013628, 185585903, -1, 639220839, -1, 327926415, 726232552, 663414768, 784786071, 194691201, 758199870, 740428988, -1, 626754496, 962488466, 620642845, 326383389, 955325894, -1, 913151406, -1, 70106627, -1, -1, 613767178, 191386128, 663896409, 419438224, 772606511, 296560234, -1, 121365360, 424384136, 998337862, 525261949, 76347872, 292178019, -1, -1, 575385529, 547647639, 277767179, -1, 305597013, 427815861, 51660747, 123142029, 65883169, 544158833, 156448004, -1, -1, 956582830, 673505613, -1, -1, 66431083, -1, 706591619, -1, 706204192, 901041535, 207220202, 729692150, 34065986, 371788477, -1, 441861542, 794717095, 509603390, 690341025, 845550380, 804362087, 167584979, 871228469, 19776577, -1, 291118787, 507632649, -1, 974519542, 126975950, 895206784, -1, 854775363, 753855813, -1, 745704318, 203143516, 998386009, 363128640, 793227826, 2656571, 284390585, -1, 510350731, -1, 700402233, 407576718, 697066575, -1, 163276434, 265828699, -1, 467661424, -1, 659115088, -1, -1, 433536222, -1, 443088082, 72344342, 218743454, 793532826, 78394412, 222030918, 492979665, 717283574, -1, 870085865, 520379504, -1, 229387061, -1, -1, 179225754, -1, 328877412, -1, 153058003, 611717215, -1, 99740118, 236529525, 186601797, -1, -1, 7025463, -1, 620278952, 976568783, 166324776, 959631618, 510365288, 635653570, -1, -1, -1, 949547727, -1, 825826614, 728056135, -1, 777481881, 374682125, 49116093, -1, 616405144, -1, 691883794, 906672439, 229063810, 874892833, 488740602, 125206771, 268301375, 55641049, -1, 16994746, 492194265, 873560484, -1, 403398861, 980378196, 823941812, 756330725, -1, 741004192, 892468047, 931884920, 416538328, 780806102, 896218282, -1, 134686792, -1, 139416405, -1, 935785485, 909574601, -1, 277181217, 266096025, 714168033, -1, 507934607, 995958556, 491560820, 543532218, -1, -1, 925997773, 958177469, 69901945, 256942133, 915212544, 106725638, -1, 554560131, 609537026, 367313361, 894816711, -1, 469343628, 986239642, 990605552, -1, 982740805, 513280632, -1, 524768013, 585529530, 133357964, 499611616, 364005309, -1, 298799302, -1, 39299756, 671386304, -1, 999932944, -1, -1, 972121034, -1, 989037721, 954821750, -1, -1, 291983826, -1, 127651155, 404846051, -1, 825303053, 222541718, 140439957, 868470120, -1, -1, -1, -1, 433537173, -1, -1, -1, 990816324, -1, 874234485, 61174589, 360686969, 138367643, 307884048, 100465073, 242795626, -1, 147833961, 532370396, 502998641, -1, -1, 130767003, 858710122, 931253556, -1, 252925863, 853115148, 814488896, -1, 914525270, 860760688, -1, 191929085, 692039474, -1, -1, 848242394, -1, -1, 595069013, 827550140, -1, -1, -1, -1, 717163343, 1649358, 790407150, 604647699, 791279138, 74028641, 794610478, -1, -1, 443191190, 234782753, 583512398, 802345064, -1, 244986735, 958187229, 60737945, 701550904, 469571736, 165315988, -1, 949902277, 357201431, 388170010, 14042446, 516512955, -1, 53637367, 24886949, -1, 261668695, 642867755, 494281114, 937236540, 179417750, -1, 847810741, -1, 767179030, 638044700, 749164950, 933652226, 904801070, 955526290, -1, 275814093, 155663474, 820240027, -1, -1, 126610653, 862885363, -1, 301989128, -1, 415697896, 124342215, 403618811, 227019727, -1, 930994259, -1, -1, 581177982, 879099431, 751542235, 554442086, -1, 971852817, 873036356, 377967029, -1, -1, -1, -1, 567720187, 192474972, 150084569, 285129452, 785965503, 223731189, -1, 399532453, -1, 238784079, 893460042, -1, 979297000, 487995833, 233381675, -1, 784279335, 572593574, 891516267, 741031860, 695244715, 646251592, -1, 19218383, 730784145, 242861449, 872672874, -1, 594528505, -1, -1, 779169399, 98036988, -1, -1, 261380377, 4493138, 89513697, 33360058, -1, 202257499, -1, 482951805, 361570275, -1, 920975494, 624774871, -1, 164978577, 872432769, 914600124, 17843710, 9863625, -1, 135898337, 599336270, -1, -1, 408606353, 437174956, 166538949, 990890088, 431754375, 314978910, 291824477, 550502335, 730977819, 703465741, -1, 811093978, -1, -1, 853643418, 68020234, 923417625, -1, -1, 437645419, -1, 979864510, 883350392, 364840987, -1, 818354733, -1, 198338820, 663279868, -1, 38326028, 245044242, 832986942, 71264227, 862659051, 719427946, 237675172, -1, 191198246, 53870084, -1, 406208098, 783868930, -1, -1, -1, -1, 908665238, 915687039, -1, -1, 482126654, 139267754, 56751544, 424485314, 958605149, 932082027, 8441300, 325325286, -1, 423658307, 746385947, 502122105, 392193731, -1, 509407493, 501112049, 56123586, 603410939, 593287251, 210330999, 234981169, 857809149, 626079530, 302540697, 316782294, 946703836, 838978431, 395689728, 62667075, 74016975, 245437937, -1, 239560668, -1, 931595421, 187221628, -1, 891621527, -1, 2770015, -1, 225926186, -1, 178074980, 612011288, 101497167, -1, 497651305, 727015312, 241477116, -1, 808018028, -1, 907795557, 108227135, -1, -1, 309742737, 304521879, -1, 180377896, 997922892, 206543455, 500955783, -1, -1, 88924008, -1, -1, 588946468, 558783930, -1, -1, -1, 151118709, 621093565, 956659746, 32944571, 981164979, 449147208, 181809976, -1, -1, -1, 57686076, 803314808, -1, 157669532, 374032928, 477096675, 96797534, -1, 824835039, -1, 540507615, 776415940, -1, -1, 287563498, 112146243, 513572091, -1, -1, -1, 440607316, 670569932, 957320197, 53028735, -1, 149865977, 146180687, 40416700, 386785284, 855800812, -1, 359262498, 608304165, 46447683, 675648582, 610005013, 408074889, 560168419, 96196398, -1, 290120484, 192739272, 147705966, 142063819, -1, 505238815, 943122283, 80064195, 354211185, -1, 183720925, 161447940, 700272432, 902155910, 155391723, -1, 661845533, 563189192, -1, 109309645, -1, 587683000, -1, 605874053, 903396156, 842479196, -1, 302189687, 445006317, -1, -1, 698698803, 232487083, -1, -1, -1, 52101444, -1, 726296197, 30879701, 884506453, 854595958, -1, 138378039, -1, -1, -1, -1, -1, -1, -1, 36781756, 943356991, -1, 271740281, 5077124, -1, 650164694, -1, 785820654, 159705873, 322317486, -1, -1, 548007987, -1, -1, 136650939, 561744141, 473593890, 245465307, 380178658, 415481283, -1, -1, 407869756, 814686159, 510658983, -1, 518758514, 641061800, 329094946, 789387591, 429704986, 658023209, 969965147, 363981755, -1, 902910856, 986107570, -1, 60407258, 605115114, 895067240, 414153641, 44702157, 793679869, -1, 528651231, 415972138, 655173366, 772536974, 319956342, 676899642, 786583453, -1, 277193585, 5933340, -1, -1, 862006609, 399890746, 972466806, 122265219, 374176038, 624794139, 305718666, 113675471, -1, -1, -1, -1, 905536506, -1, 142306414, 565332133, 23188915, -1, 632230175, 825862030, -1, 84721500, 977935007, 682783988, 403202358, 604906001, 979388880, 481892647, 436754097, 364906238, -1, 615750076, -1, -1, 660879632, 746565680, -1, -1, 47725529, 613038729, 47965217, 343489375, -1, -1, 768658684, 317044736, -1, -1, 562617074, 389803294, -1, -1, 888923544, 448210938, -1, -1, 745673335, 131681164, 692701493, -1, 529286981, -1, -1, 36265770, -1, 978988530, -1, -1, -1, 840048824, 900260800, -1, -1, 964569661, 458291382, -1, -1, 127609713, 380712141, 995787165, 692303656, 326963422, 121276079, 575896746, 234880755, 861497157, 432922669, -1, 33047915, -1, -1, -1, -1, 659883992, 353268409, -1, 846207060, 250338967, 56497594, -1, -1, 852908766, -1, 421331193, 420755852, -1, 536986356, 979327480, 189099173, 216451629, -1, -1, -1, -1, -1, 3154477, -1, 217865142, 395813806, 106052633, 860206817, 153708874, -1, 38503736, 696782194, 837477720, 910787379, -1, 917278106, 106968577, -1, 955520833, 839058345, 898772585, 448630700, 136718572, -1, -1, 293260742, 884139536, 926919594, 23214358, 715992129, -1, -1, 801143465, -1, 755346566, 4441894, -1, 751419380, 356847196, -1, -1, -1, -1, 97632356, 338113013, 329087330, 268535157, 391455755, 767270106, -1, 70085733, -1, -1, 596350896, 93291044, 303482056, 109261446, 989943026, -1, -1, -1, -1, -1, -1, 498587568, 94790671, 275285954, -1, -1, 852703960, 22639774, 331361811, 205006604, -1, 630862454, 284205, 860183307, 469671054, 159882080, 776544756, 882609094, 499827942, -1, -1, 975481947, 578059440, -1, 940523246, 751495271, -1, 393913523, -1, 818408440, -1, 979194547, 244288567, -1, 256240529, 647181277, 935215657, 29965325, 158284939, 737635325, 657242828, -1, -1, -1, 332180632, 897435235, 583367724, -1, 19471217, 576815550, 406600361, 289200077, 486374560, -1, 96064050, 294720846, 573247163, 153045221, 578880761, 698868811, 158991038, 936787437, 715784150, 155501354, 355238100, 970973865, 232190439, 758083386, -1, 9336527, 432387386, 596102681, 377014629, -1, 895222587, -1, 285520455, 862635175, 353269267, 586839684, 431983827, 903910284, 848794624, -1, 478420170, -1, 214585580, -1, -1, -1, 646732949, 937514356, -1, -1, 428718620, 692047612, 62208382, 453831712, 801199207, 831639664, 965766021, 135754412, -1, 437457583, 114909511, 432100913, 221215951, 441089603, 17727138, 636353627, 432903476, -1, 770857814, 180145731, 504853986, -1, 686875712, 573786289, -1, 578845286, 313110844, 120414001, 450452106, -1, -1, -1, 785975449, 257050369, -1, 330889019, 689626228, 556870913, -1, 727715372, 555965067, 786182340, 902792701, 680551519, 619629467, -1, 300759201, -1, 608521932, -1, -1, 870670836, 277425835, 128778815, 820219633, 815391762, 453770095, 782111963, -1, 726596562, -1, 660376530, 729827666, 38500108, 689267007, -1, 51805328, -1, 539801878, 797403351, -1, 529964947, 317701631, -1, 265377344, 883387751, 629244828, -1, 306237481, -1, 366189205, 931465866, 85730836, 154171228, -1, 14801365, 69716772, -1, -1, 334964620, 717435618, -1, 927654534, 510030241, 861298378, -1, 472219509, 783692928, -1, 205548138, -1, 888819246, 195788865, 255105, 616890144, 248749023, 163170419, 151921670, -1, 965180261, -1, 825557228, -1, 657576575, -1, 665619355, -1, 42663422, 574960588, 570948374, 910326307, -1, 306602203, 442833239, 674858236, -1, 848274440, 762823490, 367085283, 522453330, 101906117, 379558554, -1, -1, 15383070, 852271375, -1, 480688090, 75622016, 746211766, 575193948, 677069355, 481569412, 573673696, 73849272, -1, 291310700, 920490938, -1, 780119674, -1, 837069117, 797284981, 763223605, 751038699, 667213752, -1, 915131600, 867947449, 559384447, 540622959, 773995755, 218686628, 416580866, -1, 52233613, 757113424, 832603147, 247862483, 732431695, 487662142, -1, 487780402, 557149461, 516148087, 678484573, -1, 325730771, 136204797, 722175642, 400479242, 333175170, -1, -1, 996773780, 613960440, 576671874, 108231349, 838860621, 918410305, 483279269, -1, 480727095, 888013931, -1, 99731886, -1, 205124943, -1, -1, 960749214, -1, -1, -1, 632926085, 597397991, 797410259, 863496610, -1, 385451721, 863766150, -1, 877160812, 412171766, -1, 480923082, 934303348, 233389424, 272212103, -1, 874604177, 967639857, 798188696, 774805183, -1, -1, 581435270, 688744935, 268587578, 34270700, 624948655, 816877099, 229238883, 195433218, 241562243, 390501778, 186379942, 180441964, -1, 831005896, -1, 768647932, 750870055, 492445892, -1, 337772438, 510544084, 14021164, 368130752, 357941128, -1, 964611556, 496334818, 589694751, 945153784, 503614144, -1, -1, 394898399, -1, 5289887, -1, 921584914, -1, 70779839, 567707826, -1, 756812816, 331586774, 109782719, -1, -1, -1, 780358147, 532760760, 626636402, -1, 487285921, 46032036, 120691761, 331943765, -1, 829391527, 864488972, -1, 465337203, 371543772, 461707040, 209458596, 445220124, 358145133, -1, 794912067, 866933638, 760496539, 495739931, 692605846, -1, 838247169, 542647113, 500084429, 270646934, 271114945, 502042619, -1, 878623130, -1, 23704434, 452286164, 337322054, 731653168, 727796374, 548831215, 203341652, 682406201, 203815469, 865849291, 949179936, 81041120, 622572699, -1, 882834732, -1, 71507541, -1, 745225220, 945027581, -1, -1, 371345188, -1, 677383239, 188128084, -1, 681642174, 196971369, 969019095, 679654075, 306011582, 583064827, 345426942, -1, -1, 21146864, 780244698, -1, 108808209, 457127134, -1, -1, -1, 397352105, -1, 867576712, 59330099, 951611740, 757057583, -1, -1, -1, 958760339, 112971005, 668712387, -1, -1, -1, 368627457, 965776205, -1, 218117789, 280836162, 487503900, 426268349, 380638974, 517672868, 884764049, 926457691, 894426432, 309015975, 768336076, 54866458, 921998598, 307702468, 861975425, -1, -1, 584446786, 862640499, 916116537, 867716815, -1, 894928153, 965478915, 578508906, -1, 697837025, 453233382, -1, 759227372, -1, 134542962, -1, 409258778, 27384339, 556910673, 321831577, 257965185, 353171086, 732361550, 197352583, -1, -1, 102556184, 165107416, 319120862, 646420680, 142678410, 225588702, 815186204, 13749634, -1, 579246875, 77207592, 93972839, 666505919, -1, 545681586, -1, -1, 32237576, 237114615, 218592812, -1, 797383820, -1, 35929744, 342950684, 334560086, -1, -1, 584772857, 389769622, 54657986, 279192370, 109491364, 953940943, 579829367, -1, 797076600, -1, -1, -1, 409210290, 986960628, 652049814, 442348503, 53528827, 954320424, 877672388, 206032614, 904270670, 851628201, 203572825, 599665738, 769790748, 973174477, 469582739, 204167892, 877070825, 443405830, 748973856, 802329672, 337394353, -1, 626267396, 208190450, 53232224, 362173040, -1, -1, -1, 765623945, 52607898, 682910290, 370376030, 844875135, 704656476, 933569744, 736854303, 914009449, 214575773, 612577845, 547748429, 559535577, 573127689, 673195899, 470846486, -1, -1, 192025424, 596831393, -1, 510251130, 154701422, 294064910, 590351235, 374518683, 598947122, -1, 74912156, 165442344, 391040731, -1, -1, 804732184, 729542856, 453768842, 313535749, 745379492, 216912982, 703031622, 824582522, 865247699, -1, 650867506, -1, 716851583, 710576045, 196326467, 812667463, 54995860, 843605586, 966917488, 507078109, 69393189, -1, 905985284, 348038240, 766460427, 186115429, -1, 798981647, -1, 334643695, 143641769, 880363600, -1, -1, 69846355, 768865088, 191857974, -1, 237669898, 534884800, 263528558, 454013808, -1, 420569748, -1, 543323196, -1, -1, 212878590, 564619119, 852114650, -1, 149630837, 120081731, 882993313, 649989708, -1, 673618265, 71697390, -1, 479736963, -1, -1, 473950109, 344335732, 327229586, 53710434, 876482562, 253249348, -1, 487967754, 770066037, 581321736, -1, 486266621, 793211743, 445976820, -1, 806758806, -1, -1, -1, 203934343, 764621763, 317325402, 923243731, 211595128, 548162279, -1, 705418736, -1, 632953234, 262580568, 555263435, 674259187, 299312429, 670124338, -1, 148572887, 36946694, 659886059, 259816163, 287749082, 740255719, 151393460, 973941962, 920574753, 551507317, 466681750, 317038657, 501202556, 816683657, -1, -1, -1, 32229931, 928021300, -1, 334106233, 29845978, 636392783, 326264566, 704162640, -1, 974481461, 630985996, 791338390, -1, 980928659, 320150932, 23298094, 745654810, 437728030, 821331148, 451065385, 185429268, 576028579, 189731227, 989065607, 513320199, 210975741, 821220288, 670197645, -1, 285726243, 154651403, -1, -1, -1, 100887899, 283260681, -1, -1, 762095827, -1, -1, 16973476, 621009826, 421113029, 738452906, 436102835, -1, 947537056, 464510337, 8389246, -1, -1, 427279778, 890318180, 709449988, 929654019, 572517360, 80883613, -1, 46018063, 928811554, -1, -1, -1, 150546403, 612058754, 838431181, 593803062, -1, 978752099, 302744319, -1, 25345487, 324514584, 359059611, 750781102, 531164858, 542442274, 549078707, 695434740, -1, -1, 514563254, -1, 488083563, 419119987, 775938333, 201054148, 824836273, 962080171, 983883477, 566557703, -1, 353055103, 548334357, 533599599, 307311491, 359893413, 158040757, 912155466, 264893969, 478515567, 979242700, 512427523, -1, 521312576, -1, 133846713, -1, -1, 620964594, -1, 361401150, 776150154, 139698134, 916133976, -1, 938684038, -1, 309395985, 43980582, -1, 653852079, 350187848, -1, 20218408, 435478546, -1, 942379844, 187769272, 249667670, 122323859, 298016715, -1, -1, -1, 281701660, 78131196, 44591870, -1, -1, 761404174, 665540519, -1, -1, 945753810, 767259653, -1, -1, 722162581, 948547986, 520546641, -1, 632013523, -1, 255373895, -1, 54574699, 670656292, 576136988, 434033665, 413910415, -1, -1, 178105170, 250738973, 171075892, -1, 305104681, 757552716, 696892066, -1, 229605311, -1, -1, 790039752, 909407621, -1, 372254318, 824632603, 777719419, 420876047, 202674548, 792016202, 633738417, 279398864, -1, 800766941, -1, 44659295, 127158088, 903301988, 729600580, -1, 908985533, 361288825, -1, -1, 220985279, 962596574, 302377659, 460403718, 450027394, -1, -1, 911871734, -1, -1, -1, -1, 756115135, 655932446, -1, 237764856, 804041797, 61792483, 290572558, 852229335, 681535970, 826344567, -1, -1, -1, 60129489, 30189816, 556763933, 36944146, -1, -1, 134197236, -1, -1, 888523719, -1, -1, 628039776, 591450220, 380634126, 308896722, 438942502, -1, 466779483, 682471266, -1, 844659925, -1, 615549090, 408617697, -1, 316789741, -1, 895561680, 763312384, 863941022, 425801478, -1, 439092229, -1, 431346174, -1, -1, 439179512, 629588366, 856322605, 338068641, 608873808, 149855059, 472752845, 946436030, 885111644, -1, 158781633, 296514608, 725114025, 503002092, -1, -1, 510148105, 140703048, 157523276, 303439487, -1, 196691405, 190531364, -1, 78728852, 356461032, 64737298, 774551983, -1, -1, 612773669, 456080244, -1, 129885738, 664810956, 786256039, -1, 729042622, 141548825, 247926474, -1, 221137635, 618862054, 699381037, 535161598, -1, 491374268, -1, -1, -1, 634901547, 126825268, 249304084, 583276494, 130294940, 933438343, 811948964, 812098158, 77751207, 435885948, 162068812, -1, -1, 56082761, -1, 312281353, 586589531, -1, 15868452, -1, 266785729, 61584003, 78735327, -1, -1, -1, 671078118, 287590464, 764647804, 41969414, 516456777, 853750675, 486844789, 124065677, 771583855, 829191356, -1, 279224346, 560697613, 403600025, 2831622, 103330583, 693694868, -1, 451334844, 292721568, 854918744, 684865703, 124237860, -1, 563809290, 132685821, 186862071, -1, 134013445, 157076341, 696014922, -1, 887645508, 892478266, -1, -1, 691083857, -1, 489938397, 755659840, 74713894, 269400240, 560974350, -1, -1, -1, 109943398, -1, 631893878, -1, 420569556, 568596918, 329901018, 252220819, 893085793, 449390766, 340887948, -1, 821719932, 661321937, -1, 312792156, 928465674, 646903956, 760711274, 671872015, -1, 980678173, 697256330, -1, -1, -1, -1, 985738995, 393250154, 179552886, -1, 480408820, 74515608, -1, 453933881, -1, 564279977, -1, 329272978, 454004847, -1, -1, 835335862, -1, -1, 458783755, 184062811, 426163548, 824135116, 769926872, 799668164, 392875426, 444372321, -1, -1, 95965931, 710760976, 593809563, -1, -1, 405549743, 580911368, 590089902, -1, -1, 993352574, -1, 560858265, 925015026, -1, -1, -1, 23123379, 679382292, 695343587, 957891128, -1, 691534676, 652110360, 347882094, -1, -1, -1, 123204688, 277776855, 942896461, 685715134, -1, 370774588, 858108351, -1, 33057547, -1, 526055172, -1, 83289107, 574983748, 995760147, 621624854, 317866317, 710226579, 821170635, -1, -1, 518638958, 449416943, 15135544, 359826231, -1, 915494124, -1, 902805944, 996132378, 607538082, 634839898, 320432773, -1, 573759965, 919773735, -1, 239108898, 932884034, 102146283, 967434452, 267663992, -1, 658341486, -1, -1, 843103039, 102198827, -1, 627824740, 638146487, 502994033, 169754845, 41822469, -1, -1, 153021360, 977678696, 145951675, 142221339, 657918510, 489599324, 728472331, 429209662, -1, 114875211, -1, -1, 175739842, -1, 346408495, -1, -1, 385500473, -1, 952538423, -1, 21487404, -1, -1, -1, 179757602, -1, 457161473, 952801463, -1, -1, 429591079, 882993094, 94753828, 739269136, 780815285, -1, 223991356, 161743126, -1, 595504145, -1, -1, 595918153, 450628394, 513597991, 343876199, 645669492, -1, 202331995, 900187224, -1, 224693238, 711528861, 241222533, -1, 148847923, 624121230, 889318861, 702148011, 653860447, 476247132, 251247125, 879955847, -1, 813295559, 59774481, 874255337, -1, 443931318, 1806465, 470583912, -1, 41423009, -1, -1, 453366241, -1, 417123427, -1, 103565273, 357220571, -1, -1, 45764951, 968878455, -1, 67992655, 215869634, 68966060, 470658471, -1, 517074605, -1, 14996217, 806541878, -1, 737827099, 862681381, 75893662, 461491409, 650394955, 588866530, 659269029, -1, 59455949, -1, -1, -1, 432946109, 801780952, 686985833, -1, -1, 620254880, -1, -1, 353460677, 258515691, 515690453, 579309608, 814110262, 167077293, 58360441, -1, -1, 438243106, 251654037, 904717114, 607562152, 847297202, 197619036, -1, 5424954, 800826150, 883566211, -1, -1, -1, 174153487, 547882853, -1, 904906727, 464900695, 362357529, 756853807, 634826190, 890524234, 395295361, 738493271, -1, -1, 93935179, -1, 566945886, -1, 652542580, 538732944, 709631617, 805690401, 638182673, 990728466, 265198668, -1, -1, 126290843, 118065155, 200943927, 706824133, 439903112, -1, -1, -1, 652483198, 938067138, -1, 278104108, -1, -1, 488712569, -1, 779722055, 622088702, -1, 987064924, -1, 750095269, 914486662, -1, 494807726, -1, -1, -1, 898821501, 354440627, 126363756, -1, 703470007, 993742121, 85967389, -1, 382170148, 856234884, -1, 792550796, -1, 714904181, 428240315, 146035580, -1, 951355042, 542445149, 810948981, -1, -1, 946963426, -1, 437722528, 242615603, 316867010, 74502751, -1, 794277288, 882363213, 387264487, -1, 959868265, 61745496, 346653804, 90807540, 999745141, 970564309, -1, 570159805, 270255107, 879727189, 136313101, 474112343, 399493681, -1, 258530193, -1, 750328903, 960086105, 844303304, 388911584, 766795036, -1, 800029705, 186898734, 654666247, -1, 228440087, 341866390, 36856650, 772033761, 57708380, -1, -1, 149775728, -1, 379799732, 283270182, 670535589, -1, -1, 55752195, 353503934, 941018369, 58323878, 788355360, 39348712, -1, 791119232, 372463471, 643154777, -1, -1, -1, 925122006, 629613084, -1, 731922781, 340099955, 142729295, -1, 262073610, -1, 182828961, -1, 639791521, 586800909, 651799182, 43908290, 275140243, 770697066, 61870200, -1, 799388458, 622502935, 17556678, -1, 643059674, 641249336, -1, 516768269, 10818368, 968094976, 241376103, 515827211, 796571551, 273268828, 154417647, 316595854, -1, 81207183, 101591015, 756392421, 430952274, -1, -1, -1, 693546188, 16457240, 24065581, 550850810, -1, 972250055, -1, 349610015, 395592889, -1, -1, 318561226, 150325054, 787709538, 640865904, -1, -1, 43643410, 3723111, 707570996, -1, 557861335, 237987908, -1, 910065893, 210623287, 730303511, 689087912, 752308987, 854409092, 434670538, 714486196, -1, 582188672, 472845210, 852234436, 35533081, 411511453, 63012414, 499028438, 257269083, -1, -1, -1, 241018695, 799049232, 691193026, 760511030, 827561707, -1, 867477498, 406258729, -1, 720899618, 301494290, 962459812, 294137282, 511415806, 65152990, 839167038, 310402037, 63339594, -1, 340670845, 101974487, 718605283, 584596915, 480400389, 505970738, 78327056, 995802234, -1, 408478413, -1, 120161703, 692187601, 986665268, 13145824, -1, -1, 219828405, 679975145, -1, 248073442, 976261928, 577011333, 737520882, 323599537, -1, -1, 180873941, -1, 78478265, 809165690, -1, 622739190, 801431834, -1, -1, 224149524, 199078793, -1, -1, -1, -1, 662699605, 593457984, -1, 75529415, 270770625, 922756958, 31627777, 637241945, 927480825, 152709471, 738154384, -1, 459108239, 884215748, 951285613, 325657947, 395615657, -1, 919411065, -1, -1, -1, -1, -1, -1, 276662185, -1, -1, 500494410, 91345537, -1, -1, 275116383, 910737943, -1, 739530242, -1, 464665127, 423447422, -1, -1, -1, 859978327, 470674249, 833868702, -1, 72325181, 786485262, 942970687, -1, 342071587, 669771025, 959341353, 631944873, -1, 129596401, 903372248, 95370583, 212940535, -1, 775887530, 568549034, 697040821, 992677882, 196481494, 525275870, -1, 13854840, 386471787, 22761704, 165290588, 790185818, 439824844, 81326377, -1, 853213766, 584045694, 600758888, 879885325, 611542801, 232504196, 407128397, -1, 404566653, 890245521, 852795007, -1, 486857268, 305989491, -1, -1, 221171850, 499887172, 131309956, 13359717, 962395199, 732968030, 448586028, 772439436, 921580906, 65179225, 678064273, -1, 613317140, 810476606, -1, 24166904, -1, 495904520, -1, 659170228, 498609226, 792996431, -1, 163667735, 284801751, -1, -1, 189586888, 821733632, 298786098, 550814712, 541861136, 159466230, 700499306, 665478031, -1, -1, 531956306, 230344983, 480955070, 5744384, 978679846, -1, 687865540, 401162813, 601048827, -1, 516016337, 562499403, 530326384, 23067509, 406885567, 185610115, 79125465, -1, 227943171, -1, 4492445, 724886385, 462289410, -1, 541559333, 452444197, 48238701, -1, -1, -1, 242862655, 243214350, -1, 372075339, 333169990, 226167377, 223858022, -1, 209298564, 441879963, 793810393, -1, 301832661, -1, 880251387, 798422975, 460199889, -1, 471864731, 102863930, 943915665, 882859199, 929865478, 676514669, -1, 838515426, 310306214, 433072414, -1, 259706068, 898876352, 21579354, -1, -1, 254323828, 270467380, -1, 535006277, -1, -1, 206999691, 998081781, -1, 278747084, 310980537, 682753010, 143059285, 478636243, 137159761, 527765624, 236364954, -1, -1, -1, 665347793, 416488320, 671493500, 176220314, 79472015, -1, 673171256, -1, -1, -1, 32487390, 520556935, -1, 39455928, 134087760, -1, -1, 120092611, 982793738, 139953974, -1, 994189934, 356795157, -1, -1, 603273450, 781266547, 194460408, 124004042, 446639829, -1, -1, -1, -1, -1, 795902771, -1, 37425822, -1, -1, 783704600, -1, 286088305, 275716570, 497504939, 335787473, -1, 853956439, -1, 802737154, -1, 996193240, -1, -1, 241089746, 234737208, 951362825, 76901791, 547300606, 164184340, 417425840, 485607711, 507507364, 360257011, 301138033, -1, -1, 137632902, 520590098, 27669629, -1, -1, 807463721, -1, -1, 1067390, 525767856, 476831316, 423742456, -1, -1, 691762836, -1, 623737238, -1, 604502484, 554184826, -1, -1, 46515352, -1, 32072949, 830541507, 56794644, 497362008, 174970550, -1, 602368481, 935239676, 318775688, 890671276, -1, 324645778, 904995729, 895838853, 409672161, 107397965, 624471040, 183677659, -1, -1, 43746041, 87190995, -1, 127464255, 80573910, 606914781, 760034537, -1, 795012265, 173544296, -1, 91641613, 357700805, -1, 431793600, 320914396, 551987217, 218515513, -1, 712334203, 906022322, 536275867, 186468614, 119140438, 507572665, 470419919, -1, -1, 781852513, 906179195, 110522043, 401006, 519359939, -1, -1, 564746743, -1, -1, -1, 908210510, 459976926, 677974263, 590659017, -1, -1, 324483150, 914685609, -1, 298935210, 810211887, -1, 944033496, 567000002, 39491850, 316189082, 649886808, 838452048, 401384263, 278850929, 482821586, -1, 711909498, 576409890, -1, 858258758, 71788091, 753605274, 569232061, 923776803, -1, 571405964, -1, -1, 691505594, 860313079, 734193542, -1, -1, -1, 759669718, -1, 537167869, -1, -1, -1, 729639413, 45681047, 759514618, 320543607, -1, 732917377, -1, 866201554, 266221408, 512311583, 445054948, 929823781, 301888596, 638542804, 20420448, 203528406, 367046447, 47947432, 456699006, 956900713, -1, 498672279, 210789737, 454994169, -1, -1, 234950589, 17308889, -1, 985529651, -1, -1, 242266031, 193019682, -1, 226591804, 248567537, 480582467, 107258008, -1, 282869449, 131028476, 897903112, -1, -1, -1, 332653469, -1, -1, 486531852, 643238893, 21707750, -1, 474038227, 622712572, 498724148, 817755410, 928523654, 397354560, -1, 905420351, 885807497, 617508995, 636483849, -1, -1, -1, -1, -1, 802196593, 850096391, 518353283, -1, 26821678, 583928984, 104227583, 731312342, 829876565, -1, -1, 560221305, 650776376, 155187740, 850619780, 585784985, 324343299, 374574377, -1, 282296768, 424511346, 857041941, 571454583, 912339669, 135953566, 357199568, 194020223, 375067091, -1, -1, -1, 88905238, 266639344, 840688597, 498860228, 996192386, 876870530, -1, -1, 798021892, 6187366, 550631960, 388367611, 693074616, 202024263, 766648497, -1, -1, -1, 519644461, 319192645, -1, 470075883, 306005667, 287891130, 700416247, -1, -1, 103945850, 203457654, 578295610, 213703051, 891829226, -1, 378902708, 851042388, 197611932, 271400811, -1, 298502142, -1, 305722771, 80748908, -1, 720764490, 133841564, 745615629, -1, 233796490, 651150221, 566622677, 237519847, 473740037, -1, 648128532, -1, 293314613, -1, -1, -1, 492643924, 368988686, 259130960, 507408476, 767849481, 688930691, 193644470, 875453621, 667230243, 695980919, -1, -1, -1, -1, 866359738, 359498502, 460269194, 812764357, 982190773, -1, 628252110, 735176545, 729042539, -1, 644407505, 677168990, 797469843, -1, 731751940, 90373896, 500801465, -1, -1, 667618818, -1, 616461353, 235315548, 709218106, -1, 474761291, 447440427, 482561388, -1, -1, -1, 162002172, 784134060, 420075634, -1, -1, 8949181, 911143887, -1, -1, 443228431, 591014426, 522748694, 706749666, 144114763, 730846217, -1, 163745472, -1, 956524628, 575369735, -1, 182093278, -1, -1, 668126805, -1, 358807122, 541406394, 210486743, 434629852, 637325429, 773924007, 315389117, -1, 935903942, 450608094, 545996265, -1, 398855662, 699592694, 199288984, -1, 640866671, 514982584, 338697734, 93976462, -1, -1, 865785384, -1, -1, 482336348, 564904726, 662770318, 192521239, 488205737, 339014753, 670590366, 977416226, 228527278, -1, 232309325, 211143497, 78930563, -1, 101355944, -1, 171214050, 410785130, 318508173, -1, 554696057, -1, 619524730, 412487410, -1, 547849791, 477283333, 524585069, 211471044, 324761306, 896723035, -1, 535305134, 15416866, 147368747, 839179430, 394418959, 284431337, 265479049, 659807761, 28859747, 675025714, 189103031, 968755481, 659894124, -1, 919670930, -1, -1, 607547317, -1, -1, 567199788, 85310999, 171189304, 732914648, 439046230, -1, 308212566, 564651803, 673274807, -1, 419409294, 495054408, 623895813, -1, 904243327, -1, 423721951, 591218119, 660551895, -1, 371064431, 29747839, 309489408, 768405889, 748519940, 496012698, -1, 421448994, -1, 64389247, -1, 4561885, 81390687, 971259011, 682609707, 121836281, 179973693, 757535595, 715649722, -1, 912640130, 330695309, 354823830, -1, 99337730, -1, 322875745, -1, -1, 187210245, 604460869, 513601035, 223098239, 632932386, 836102997, 484124369, 138845501, -1, 612661602, 486421875, 388555726, 427298530, 787356072, 417675401, -1, 36433474, 52356991, 758896334, 845744482, 662800149, -1, 965637765, -1, 136435998, -1, -1, 730231768, 635779267, 871642602, 847782757, -1, -1, 246282404, 97971371, 940388661, 942622474, 441558971, 97722185, 252819621, 671016597, 924994401, -1, 955004983, 374721129, -1, 57773764, 22968383, -1, 632121760, -1, 348766895, 764139215, 233044131, -1, -1, 211927691, 303984487, 478967793, 42948921, 243891871, -1, 836067814, -1, 746217359, 361826505, 111606782, 509755788, 106579722, 219320931, 802489534, -1, -1, 50092938, 698642293, 11149280, 155603092, 719051646, 942574602, 148694622, -1, -1, 187409411, 208489465, -1, 21183360, -1, -1, 254452021, 660065726, 610215573, 392943548, -1, 538997963, 236255502, -1, -1, 538858443, -1, 833131990, 800217476, 913721795, 777905389, 485482818, 531826955, 505438088, 756567389, 298127351, 601926886, 451093481, -1, 484502011, 344124503, 403521227, -1, 807858995, 53345445, 713122628, -1, 759312095, -1, 152583210, 81272776, 990540470, 563324786, 625400583, 728566228, 417748878, -1, 342635547, 470716496, 148807487, 426537418, -1, 348430356, 759148435, 999829327, 5129879, 295572830, 873390500, 550246859, 425029937, 512828043, 545922117, 261701242, 290444472, -1, 688328142, -1, 204722396, -1, -1, -1, 340333486, -1, 739983175, -1, 744599670, 387868417, -1, 363945650, 148074351, 838721338, 670831893, -1, 56141303, 17216983, 625155622, -1, 241889450, 807614520, -1, 319826308, 39503270, -1, 429453297, 617910503, 65570084, 222363116, 832896043, -1, -1, 212215734, 881820807, 247548258, -1, -1, 370729367, 485756395, -1, 39554057, -1, 686351972, 70310645, 859226668, 34007727, -1, 706247293, -1, -1, 108009957, 795919435, -1, 46867955, 656358044, 47683565, 158528404, 157900903, -1, -1, 671273451, -1, -1, -1, 129148836, 409035546, -1, 773257431, 341144408, -1, 969641711, -1, 239894664, 526589333, -1, -1, 109456730, 311324805, 536835039, -1, -1, 128152586, 106003089, 826959776, 59580197, 317883230, 320299221, 938740696, 5513602, 1903517, -1, 662980445, -1, -1, -1, 415777663, 305076961, 588865849, 909114416, 830202429, 282417898, 263422374, -1, -1, -1, 505718840, -1, 274442147, -1, 332922501, -1, -1, 111588990, -1, 591445835, 729089420, -1, 705205302, 855189983, 83612539, -1, 178499918, -1, 494093339, -1, 321196812, 618625103, 596785175, 472830498, 655320564, -1, 704156382, 659669464, -1, 303969414, 83569640, -1, -1, 371912443, 8328369, -1, -1, -1, 731430688, 505836896, 87504383, 265623703, -1, -1, -1, -1, -1, -1, 387114611, 298949260, 992047452, 341060095, 68436589, 966362093, -1, 282583765, 806975810, 454103462, -1, 272281204, 466948617, 453565691, 650858851, 969599362, 690366284, -1, -1, 270188814, 563609688, 305087177, -1, 664210193, -1, 883047143, -1, -1, 851771518, 207822119, 195999252, 384030007, -1, 173377020, 769308204, 630278915, -1, -1, 842885116, 690633449, 408200555, -1, 481443286, 726808054, 433740523, -1, 336178095, 639685373, 369390427, 600930901, 283498599, -1, 168874248, 844983047, 18852769, 67931136, 655909269, -1, 785633028, 371267158, 505157584, 774629560, 313411436, 373175333, 871290572, 886955058, 807246308, 16858977, 822163328, -1, -1, 64499147, -1, -1, -1, 894968056, -1, -1, -1, 205767841, 930223408, 219418073, 791706137, -1, -1, 120617130, -1, 473793533, -1, 135517423, 216530006, 76979161, 988931519, 873937002, -1, 738075275, 37267146, 389675983, -1, -1, 384571639, 641582190, 707147419, -1, 350783314, 295425027, -1, -1, 699253861, 224693304, -1, 389151154, -1, 157591875, -1, 516072743, 120717240, -1, 902212175, 999662480, 86459063, 356431699, 583054383, 205080388, -1, -1, 167047273, 381579094, 952745425, 519618446, 876487094, -1, -1, 564061691, 120708411, 377073665, 218760221, 943012660, 563456310, 388826401, 719031857, 751886403, 767498494, -1, 851030288, 58471842, 448003245, -1, 151773075, 385233901, 714837484, 48109465, -1, 670291065, 105386983, -1, 734738145, 37925396, 303353407, -1, -1, 639488350, -1, 534905652, 487223523, 555383830, 596940127, 52191530, 429545212, -1, -1, 217880990, 942633716, 555162430, -1, 519997599, 798486301, 550344281, -1, -1, -1, -1, 201873047, 19272770, -1, 477994092, 175193066, -1, 188641166, -1, 490182585, 347341729, -1, 468981830, -1, 991227653, -1, 574265109, 441048715, 694121481, 350727126, 794217844, -1, 270731119, 314371850, 123128783, -1, 696937162, 614554044, 868986837, 431623559, -1, -1, -1, -1, 985132208, 290524064, -1, -1, 180611052, 238027749, 237312518, 985629829, 51350988, 619406334, 83057884, 195416728, 536892761, 150544551, 648864421, 992453892, 695573401, 597110803, 785431919, 620682934, -1, 407356677, -1, 960073394, 285907687, 724858828, 497624822, 810711483, 522330369, -1, 853499834, 980395178, 546857203, 734654796, 169957734, 930577358, -1, -1, 700835034, -1, -1, -1, 572281709, 12114577, 386188702, 784782285, -1, 284231694, 471088310, -1, -1, -1, 651087192, 727967299, 85709466, 945369700, 315852572, 511331192, 35468631, -1, 17690178, 526324780, 496574736, 206378071, -1, 884550385, 916279429, 540584680, -1, 649516805, 974643263, 250627704, 373425137, 397840838, 627244491, 258379686, 132675996, 226237021, -1, 367631496, 178861128, 735331506, 197631858, 102114581, 345043841, 960872432, -1, 592068436, 607396352, 168029059, 152750327, 538084267, -1, 808277084, -1, 534698971, 741133623, 31564835, 43985803, -1, 142147800, -1, -1, 685854896, 771425808, 120411254, -1, 291728337, -1, 918682205, 220777904, 336393387, 732890121, -1, -1, -1, 314090091, 229843112, 322449552, 458981967, 520875391, 551801844, 860141908, 36762477, 172735484, 785992840, -1, 325347568, -1, -1, 404650672, 53632591, -1, 723453163, -1, -1, 369458208, 241075081, -1, 330655795, -1, 977123676, 314849427, -1, 62447254, 815841242, 134503315, 405116751, 842167889, 278617777, 584019694, -1, -1, -1, 202064903, 303130847, 268325520, 354667247, 439197507, -1, 975573315, 89229781, 684091039, 168100534, 169503693, 532423332, 489667763, 872809888, -1, 709897721, 145186901, 253159925, 827926370, -1, -1, 811071446, -1, 82523223, -1, 351791320, 246268144, 307004630, 256820502, -1, 12622709, 714410565, -1, -1, 295263232, 880591802, 618349198, 414536959, -1, -1, 1702316, -1, 435246257, -1, 330217333, 43694268, -1, -1, 135164540, 719439085, -1, 567809082, 317967368, 626099379, 968515090, 724709638, 389162381, 600920886, 470948962, 333390964, -1, 481719716, -1, -1, 896736455, 831926865, 639352481, 992732875, -1, 829621699, -1, 951188171, -1, 628993103, -1, 266294473, -1, -1, 565797211, 339360424, -1, 623159343, 365777815, 83885086, 157989791, -1, 988512938, 576922567, 292485421, -1, -1, 712236642, 34283088, 961358347, 948402665, -1, -1, 160671985, 711721828, 86653288, 939037658, -1, -1, -1, -1, 957438766, 537174837, -1, 585180953, 294531062, 628738587, 805458126, -1, 716061445, 544242982, 503905467, 920471197, 782247169, -1, -1, 440759385, -1, 289064574, 998440482, 886462396, 323574546, 55694486, 640562348, -1, -1, 963150990, 136110905, 636354153, 88455334, -1, 125653737, 560710736, 399257655, 25900834, 844507623, -1, 3652555, 593285212, 126799909, -1, 764009111, 798380433, 419701503, 682864391, 840166383, 6181006, 285504417, -1, 332910391, -1, 289806635, 506461485, 804492138, 405436561, 306012930, -1, 324735874, -1, 770149645, -1, -1, -1, 83234946, -1, 493707205, 985059489, 247763509, 706765166, 424656398, 556532568, 219166532, 134279358, -1, 115709762, 635023067, 22230137, 156920636, 815807669, 240799369, -1, 370819600, -1, 27917347, 626678195, -1, -1, 996439910, -1, 542022868, -1, -1, 845810312, 992865717, -1, 746079386, 699464250, -1, 387225431, 331718115, -1, 184538101, 701435530, 572588301, 485404520, 737911319, 579975760, 799813818, 977933409, -1, 661499950, 472636885, 876714846, 782313982, -1, 96694576, 269822573, 407622107, 490302807, 875843090, 454987983, 537111289, 244799038, 87356474, 844990037, -1, 23933488, 985442513, 546726825, 337665949, 975818031, 902270532, 689480248, 26657426, -1, 748246331, 123060077, -1, 590718435, 168189160, 718435050, -1, 474078972, -1, 829361909, 38455096, -1, 121705474, 560634552, 56538853, 285227583, 838453085, -1, -1, 945847257, 63986741, -1, 177028887, 536698048, 42169341, 347250415, 883817683, -1, -1, -1, 784699839, 51392798, 971735857, -1, 839803297, 478541338, 346430882, 713215416, 440800273, 390120769, 203049188, 27966567, 41689255, 129335637, 810218099, -1, 290047259, -1, 635871919, 156536246, 712999619, 361964181, 897665131, -1, 461246597, -1, 430796686, 83945280, -1, 999526263, 47506996, 138439779, 31504357, 422906762, 233084651, 883137237, 882155204, 894825730, 934970665, 873092790, 825669922, 568587365, -1, 784397945, 501842463, 212079244, 12216914, -1, 222266896, 154605146, 421033446, 456576905, -1, 514207176, -1, 850834779, 666804778, 300441209, -1, -1, -1, 945116060, 495546070, 355438851, -1, 693206609, 848664564, 872908214, -1, 651250109, 644954949, 916783107, -1, 210331275, 556190593, 996354628, -1, -1, 437395776, 233748382, -1, -1, 876482933, -1, 12495643, -1, 244111066, 993170964, 642442697, 320018697, 159740220, 199917307, -1, 683599896, -1, 898253202, -1, 660461797, -1, 304238264, 495554466, -1, 630227114, 313453957, 578137604, -1, 600233578, -1, -1, -1, -1, 583732988, 448485814, 789700006, 36055532, 275732888, 589678110, -1, 221668810, -1, -1, 14609060, 203670721, -1, 622239583, 826902021, -1, 521236627, 725146842, 180856078, 472406135, 421960689, -1, 104867585, -1, 925125876, 526342088, 737659854, 518353725, 353623744, -1, -1, 900114806, 546679986, 709071251, 46902647, 711251500, 584258845, 845418222, 295896180, -1, 635868098, 719421028, 952262608, -1, -1, -1, 590312025, 566485678, -1, 366698879, -1, 421464100, -1, 828397931, 820408198, -1, 701009785, 717767596, 654789102, 941539947, 160572488, -1, 992062477, 835236792, 487002208, 143167209, 713845928, 672337122, 326742639, -1, 116564543, -1, -1, -1, 37714591, -1, -1, 409281050, -1, -1, 718484775, 841315542, 63117149, -1, 389918104, -1, 341407215, 428564786, 954942762, -1, -1, 412821238, 542360834, -1, 884991300, 23126101, -1, 628085974, -1, 610244032, 539531073, 605695901, 234382846, -1, 471107284, 128620033, 255917261, 523214767, 875794784, 571073668, 864667762, 27355833, 337426910, 278073951, 397578890, 255195294, 446469646, 338294262, 702987945, 388260008, -1, -1, 983635777, 986904858, -1, 588393337, 841084487, -1, 579025520, -1, 63067022, 61316945, 423144341, 88049822, 4174618, -1, 180410266, -1, 906895010, 307015779, -1, 479670836, -1, 765384876, 937712593, 467811643, -1, 13856184, 723418985, -1, 897650652, 735211679, 184728859, -1, -1, -1, 941934829, 643561737, -1, 767582673, -1, 101010764, 473370167, 935021649, 11143725, 997073179, -1, 280451678, 899567693, -1, -1, 142455404, 198974374, 262630382, 770337364, 266890190, -1, -1, -1, -1, 300775878, -1, -1, 145076065, 420560803, -1, -1, -1, 783830528, 872402217, -1, -1, 596022030, 406832314, 9250330, 28105521, 87681165, 642785009, 520524526, -1, 743010660, 416148785, -1, 323908259, -1, 162415910, 677745557, 491322022, 115090637, 893376992, 566874710, 355005514, 667361690, 431085041, 719613594, 409043766, 512598665, 714612511, 579976409, 420010145, -1, 291079142, -1, 390360494, 394429047, -1, -1, 805085006, 502722934, 182027152, -1, -1, -1, 412316393, 308451695, 986127385, 925139191, 744762193, 110292152, -1, -1, 850745151, 565448688, 99343592, -1, 910005955, 109924361, 620107386, 267113236, 38700333, 532108631, 850234736, -1, 225359365, -1, 526766115, 150818519, -1, -1, 115044393, 951944110, 988008817, 702323746, 510205319, -1, 948167110, 876072933, -1, 130949938, 599887022, 437614899, 744315390, 667301788, 217495919, 9527855, -1, -1, -1, 465639262, -1, -1, -1, -1, 809885916, 700173188, -1, 545915083, -1, -1, -1, 488405773, 26929401, 27685395, 220422866, 529248703, 743008340, -1, 88365410, 395741763, 689281314, -1, 653539249, -1, 96160079, 463593509, 171743248, 754664046, 958501315, -1, 499519021, 821316344, 422123322, 693491161, 395285300, 175269505, 754331184, -1, 796018575, -1, 43564843, 169884603, -1, -1, 283603076, -1, 617407973, -1, -1, 671636013, 621064513, 143654688, 840028562, 940043199, 479119330, -1, 587393903, 300985895, -1, 704932406, 561120712, -1, -1, 244279443, -1, 93515340, 625927164, -1, 663970683, 762932423, 762701759, 488014268, 790691593, 77342952, 289241702, -1, -1, 955953787, 870155929, 518076648, -1, 414087806, 679409111, 346308082, 923471530, 716729349, -1, -1, 779756280, 81942804, 244736161, 991802168, 168382303, 508748879, 943255861, 944667305, 996507534, -1, -1, 528296086, -1, 237631855, 547849035, 312317504, 78889166, 995792720, 511425388, 218366867, 514389790, 658338888, -1, 74436130, 439337031, 497837333, -1, 946339167, 606377813, 78782882, -1, 470632054, 355660928, 289220673, 46790815, 891343157, -1, 376050295, -1, -1, 345205322, 990689768, 475282189, 53927493, 502712570, 20071027, -1, 307903444, 795955178, 929374431, -1, -1, -1, 133762780, 387962674, -1, 97229870, 204454886, -1, -1, -1, 673878157, 292109351, 267223374, 863920282, 450060870, 397600133, -1, 55624628, 145143715, 595172931, 88685331, -1, 124217890, 436534837, -1, 939544141, 538268010, 703342296, 529591095, 411069369, -1, -1, 6178979, -1, 708197019, 10893656, 883882957, 786754598, 371307262, 7380401, 661000916, -1, 701213401, -1, -1, 810612544, 549207147, 78162252, 106815910, -1, 298389004, -1, -1, -1, 106401392, 902781848, 315166787, 991222534, 265392067, 934974267, 585617556, -1, -1, -1, -1, 238757288, -1, 747963542, -1, 902063827, 484420335, 475920693, -1, 289764541, 243897783, 202315179, 181741594, 794619476, 608298276, 983527167, -1, 884472891, -1, 948290008, 838608159, 393986146, 969298850, -1, 314611844, -1, 321649088, -1, 678268538, -1, -1, 223051961, -1, 428356731, 347513141, 992527907, 535535117, 969100075, -1, 572205968, 273067567, -1, -1, 841661358, 993709094, 771673834, 104023702, 484102469, 1933901, 371210595, 102430204, 145741676, -1, -1, 830753889, 136790907, 269583748, 285189870, 560883602, -1, -1, -1, 978286519, 406617574, 239652833, 154704546, -1, 18081287, 288908459, 626513076, 569770730, 715788854, 470610688, 347848917, 864928354, 295227539, 27296018, 166073137, -1, 14034719, 727141430, 108967752, 31319043, 657420323, 957818346, 725252745, 889456219, -1, -1, 256655506, -1, 562562233, -1, 532401928, -1, -1, 336636350, -1, -1, 136331587, 349324749, 363547829, 408122987, -1, 343323981, -1, 998686578, 635630645, 846874932, 297146275, 818819687, 344070615, -1, 468348750, 258593015, 752561588, -1, 132866572, 252147191, -1, 365022270, -1, 743042196, 364653842, 39823590, -1, 215550820, -1, 204499329, 183561416, -1, 657377035, -1, 82930672, 457221405, -1, -1, 943500226, 596292629, 26740417, -1, -1, 394961548, 912989707, 862582760, -1, 169556065, -1, 911875959, -1, 598790906, 583828777, -1, -1, 131655144, 586601032, -1, 328071972, -1, 372555040, -1, 81937139, -1, 203267951, 40413592, 405277523, -1, 358741551, 567113889, 212054898, 692441203, 753092347, -1, -1, -1, 186488925, 46091079, 358166433, 720077539, 680954536, 886331742, -1, -1, 432639457, 661582224, -1, 395292746, 802452929, 625980149, 312368277, 361375214, 957912481, -1, 5586301, 897122750, 288072432, 760384339, 673641495, 573523525, 498022064, 316021345, 996321362, 624064695, 320344507, 588884249, 564007549, 522500771, 71987404, 33741205, 153531120, -1, 953748351, 626678013, -1, 176611006, -1, 508777179, -1, 772061047, 68680132, 92109810, 993262010, 916875312, 494719569, 949115453, 27273213, 945018581, 399010174, 896381610, 618238827, 702851428, 242968893, -1, -1, 190243431, -1, 627804296, 662718738, 389050200, 629989686, 311020488, 135766728, 204234409, 510562495, 136249997, 309903639, -1, -1, 460151416, 475574657, 865030150, -1, -1, 264248413, -1, 454592115, 675434628, 737296281, -1, 460984609, 259367862, -1, 30672680, 707866378, 351660616, 459224043, -1, 767577822, -1, -1, 735068153, 423400993, 318142743, 60460438, 886069973, 148191231, 622743571, -1, 301246055, -1, -1, 894114188, 958641739, 396225161, 299610254, 305030208, 403474438, 302428544, 441005203, 537695120, 763162587, 581707246, 196586806, 944570137, 574562708, 12196311, 442637738, -1, 380740399, 1814343, -1, 503723494, 853498617, 997516329, 214453452, 860501648, -1, -1, 497670774, -1, -1, 460384159, 395929370, 695703391, 849152849, -1, -1, -1, 777998074, 239922255, -1, -1, -1, 59840651, 734285717, 561327435, -1, 221783941, -1, -1, 215595887, -1, 497704721, -1, 290261049, 536512971, -1, 629502806, 169180081, 303136176, 737707679, 819656879, 584518591, -1, -1, -1, 436476237, 499642046, 924952648, 258087754, -1, 221881724, 541895340, -1, 427630679, 756322097, -1, -1, 321476316, -1, 54539636, -1, 164193613, 581228195, 215130974, 910736768, 894285, 178451150, 869183368, 34978230, 295979553, -1, 943455740, -1, 82064975, 896951311, 301833247, 264948589, 889642242, 958879420, 562057293, -1, 684999346, 168113968, 23785003, 79996872, 223265046, 470292150, 216899819, -1, 510361426, 949199017, -1, 592406526, 290538491, 604381924, 340217494, 837734577, 179720264, -1, 85256776, 430271842, 881645523, 114077804, 219058797, 648653349, 447546915, 541815673, 395151407, 907629113, 47871049, 775161110, 570758713, 342068878, 258504714, 632268928, -1, 806095121, 939410090, -1, -1, 5816102, 524354430, 723921543, -1, 336237683, 97249924, 634750325, 104891963, -1, 639088372, -1, -1, -1, -1, -1, 982238538, -1, -1, 878501660, 467369857, 706452466, 955078641, -1, 309840708, -1, 623141544, 905829582, 582251176, 804102793, 466417076, -1, 111620356, 960428989, 239051141, 114592247, -1, -1, -1, 678502272, -1, 617935737, 696813084, 261206575, -1, 212635694, 656306980, 995114600, 792364134, 292999181, 333505313, -1, 272574754, -1, 375006815, -1, -1, 650568914, 323042731, -1, -1, 169487416, -1, 166023265, -1, 595953310, -1, 439711442, 655910528, 26823257, -1, 495963819, 999130374, 698644880, 576520903, -1, 924356654, 181159763, 928067473, 760942167, -1, 442855580, 279028616, 60111345, 834895691, -1, -1, -1, 347798757, -1, -1, -1, 721035971, 792910480, 822355897, 987950404, -1, 6165710, 140883374, 431302050, 519534449, 469744098, 682957274, 33448369, 442861222, 540073819, 367091434, 917114941, -1, 620032834, -1, 102952309, 514983568, 502700551, -1, 984031477, 700493578, -1, 175593766, 275504027, 251893093, 451606435, 972185579, 254629781, 978820985, 972429486, 487082286, -1, -1, 833202518, 355334183, 588249553, 951076426, 225715866, 348981309, 630234583, 951799089, 506954907, 608998690, 108111591, 329453527, 78386477, 283288279, -1, 332356645, -1, 83563828, -1, 930081978, 789472554, 822948373, -1, 376710207, -1, 850875734, -1, 998619530, -1, 609079028, 386057494, 678922720, 108199480, 646280394, 400809743, 724274265, 197471255, 992071843, 824921887, 33199603, 318339061, -1, 663975598, 559678595, -1, 641282194, -1, -1, 167501613, 432154190, 57454869, -1, 444116831, 25159975, 645605838, 78322656, 791539363, 577503791, 150706928, 616953373, 185170872, 117906337, 743474337, -1, -1, 397695475, 532592710, 914197492, -1, -1, 659334215, -1, 987375117, 236511695, 972700498, 294898141, 581743081, -1, 334232785, 856191899, 814803690, 41139226, 195993716, 748187307, 326269299, 458190335, 808236365, 711976094, -1, 218494375, -1, -1, -1, 520185924, -1, 247458037, 696919641, 646682539, 773684711, 613701219, 436847541, 936169970, -1, 890634135, 629205163, 949538109, -1, 596692878, 49151294, 429231591, 698556509, -1, 330178707, 256168198, -1, 363821003, 285810492, -1, 177388460, 557441186, -1, 577632559, 824970994, 195067790, 681062051, 814603322, 668468819, 335502836, 908548218, 59603985, 464288460, 847646694, 411444320, -1, -1, 320835876, 779066089, -1, 917984937, 7744707, -1, 787426397, -1, 70471248, 699040859, 530771913, -1, 409201388, 393790675, -1, 134104091, 901042566, -1, 739350444, 402742901, 149622946, 433949852, 90473125, -1, 449738958, -1, 862148775, -1, -1, 817219661, 258170562, 916127584, 797108172, -1, -1, 492975434, -1, 926046033, -1, -1, -1, 131751636, 334933950, -1, 489721365, 287879751, -1, 480139281, -1, -1, 198738230, 556977764, 264997092, -1, -1, 958890672, -1, -1, 207601958, 216758512, -1, 93572955, 62573199, 500093185, 326043432, 307829410, -1, -1, 419389626, 820520174, 748528703, 858157660, -1, 762913512, 847121264, 916547097, 605624291, 881729383, 190196105, -1, -1, 756700947, 225635079, 549456023, -1, 509938723, 782679051, 551115944, 738661360, 809466701, 44138647, 324752798, -1, 32667334, 221249485, -1, 894665133, 51017289, -1, 323969237, 683318226, 651173376, 217596527, 64329973, 791909477, 664457824, 468718121, 890097280, 843128072, 636693851, -1, 3784774, 432832568, -1, -1, -1, -1, 834066327, -1, -1, 153668676, -1, -1, -1, 594783480, -1, -1, -1, 251517460, 979375491, 142801483, 60465797, 931329543, 910211304, 245487103, -1, -1, 854659094, 693500714, 145749851, -1, -1, 327314345, -1, 213523634, 806920351, -1, 791534269, 261650284, 346540448, -1, 891866940, -1, 684477365, -1, -1, 640736308, -1, 146874095, -1, 135657931, 701509597, 542816777, 836325613, 19240970, 609039348, -1, -1, 165804071, 4630887, 784996271, 800072776, 194964676, 446384526, 367709745, 244115355, -1, 186061319, 264377893, -1, 843662632, 97098224, 281554921, 678303548, 689723002, 140244898, -1, -1, -1, 803935018, -1, 832635875, 383902250, 473225900, -1, 969467627, 135419542, 319237419, 223187136, -1, -1, 46275788, 263640384, 796782339, -1, 336898598, 552741512, 445387927, -1, 190176960, -1, 444182777, 782093674, 949234970, 162295432, -1, 897763601, 431331527, 355273950, 335538572, 742235076, -1, 143078985, -1, 240549583, 637025358, 458098505, -1, 656650410, 184037669, -1, -1, -1, -1, 733786291, 206150971, -1, -1, 469519037, -1, 136897008, -1, 595758709, -1, -1, -1, 679683618, -1, -1, -1, 113881875, 192208787, 511209443, 814177628, 58907306, -1, 8288123, 425982320, -1, 533731564, 320894183, -1, 517622037, 651200240, 658499628, -1, 44963748, 931414775, 331376029, -1, 405639425, -1, -1, 308123931, 150658894, -1, 865950162, 863055419, -1, 34196769, 866374690, 184514401, 901182191, 984932400, -1, 129398076, 661709764, 549072342, 624471031, -1, -1, 336261521, -1, 459972961, -1, 581891986, -1, -1, 577536107, -1, -1, -1, -1, 539311850, 192918259, 799807809, 344273610, 525992147, 989921183, 424891904, 501589424, 977753659, 612518623, 532764681, 221211197, 590640706, 891406917, 986557885, 6018328, 660527164, -1, 856759322, 226854958, 519251425, 147634420, 696841200, 313026153, 261045193, -1, 993767201, 680755725, 42278248, -1, 143930080, 719895985, 614948787, 679903812, 776642547, 60581228, -1, -1, 140928361, 636274501, 244585072, 451640114, 903974197, -1, -1, 392701100, 594104035, -1, 919171941, 965013415, 93031449, 232249214, 251921243, -1, -1, 895380684, -1, 912626836, 213900860, -1, 429330838, 249460352, -1, 207982692, 167752260, 12828235, 643489323, -1, -1, 360532914, 333432475, 555099918, 530975824, 440840610, -1, -1, 655113924, -1, 100340030, 379373258, 239719125, 159360167, 268139141, -1, -1, 639374321, -1, -1, 87850921, -1, 508480536, -1, 262216679, -1, 862760016, 544989570, 393829741, -1, 824707467, 720300905, 728910790, -1, 421974532, 443977999, -1, 350878392, -1, 694052989, -1, 358841838, -1, 331364394, 884861581, -1, -1, 608915540, -1, 85797655, -1, 136198920, -1, 654141275, 731636410, -1, 603559668, 405755338, 605103419, 604243475, -1, 446159038, 708370825, -1, 293621877, 989673590, 884455792, 623815118, 75408133, 690645214, -1, 374902316, 419220337, 441204727, -1, -1, -1, 896132056, -1, 609600011, -1, -1, 459306406, 288338207, 972735981, 985794975, 628055421, -1, 249328037, -1, 878397406, 34810146, -1, 772868338, 59531783, 348533820, 890038252, -1, 135925459, 778896529, 776366925, 700703571, 285090588, -1, 282286357, -1, 815915019, 360478086, -1, -1, 104947405, 919632904, 350679729, 849949607, 404539202, -1, 364172224, -1, 572722558, 25739583, 473072163, 876202018, -1, -1, 217976267, 185363060, 138657687, -1, 749443576, 612037399, 851422240, 559608419, 347653699, 935643601, -1, 810648625, 221009201, 35827827, 268540361, 416206306, -1, -1, 92621432, -1, 752887146, 172486428, 872240185, 369169540, -1, 498891646, 635076345, 389975835, -1, 135687278, 638145909, 107993131, 854397807, -1, -1, -1, 343415857, 612225105, -1, 213333747, -1, 79005699, -1, 269586028, -1, 88773291, -1, 512641346, 322120248, -1, 247272251, 170891811, 588968701, -1, 151310026, 520376652, 949603033, 397943007, 622292501, 588554228, -1, 376828543, 302303833, 798852353, 290951089, -1, -1, 990144116, 264344645, 692582071, 139065739, 694149269, 964591026, -1, 747075174, 191934590, -1, 144344228, -1, 498956878, 359489560, 698538207, -1, 434678714, -1, 706431034, -1, 12701173, 996476850, 337714354, 264944398, -1, 371639229, -1, -1, -1, -1, -1, 451550995, 428696548, 849525444, 337278773, 831586114, 384044292, -1, 310777120, -1, 613107161, 452253026, 904803575, 786794177, 46213545, -1, 539856060, 627873733, -1, -1, -1, 607754374, 127189659, -1, 739467540, 418179708, 924884452, 649043133, 107977120, 514226746, 674171446, 51044512, 327800164, -1, -1, -1, 629293250, -1, 642788422, -1, -1, -1, 770747291, 840571676, -1, 912259832, 326220664, -1, 929893530, 319300818, -1, 822087830, -1, 755375909, 70136814, -1, 378516684, -1, 395990389, -1, -1, 30890876, -1, 883017695, 699797105, -1, 137408816, 241012191, 951800572, 460914813, 65299769, 944413555, 19838212, 658827120, -1, 34868912, 669734327, 30893601, 602042515, -1, 590836131, 185487208, 569048931, 902684906, 748761168, 608716484, 302676260, 536856025, -1, -1, 512264080, 169819749, -1, 241802497, 156103721, -1, 403906426, -1, 550514901, -1, -1, -1, 962738993, 716433594, 646663503, 498282736, 343207634, -1, 180887045, 626545771, -1, -1, -1, -1, 42987797, 590157827, 518630775, -1, 407439593, 599761113, 337165275, 181981127, 132622966, 23055502, 364735308, 391195277, -1, 713009469, -1, 866932265, 423421716, 375674729, -1, 421730021, 972465641, 485544312, -1, -1, 239006946, 510058768, 692258294, -1, 380119334, 824842945, 993641120, -1, 718455540, 138777568, 300254031, -1, 840274539, -1, 979006933, -1, -1, 782247136, -1, -1, -1, 589863178, 554025992, -1, 757424879, -1, 424794302, -1, 521034866, 670134237, 805061728, 93098332, 893324935, 439706861, 420588286, 414882582, -1, 378652068, 443683037, 396643472, 825419839, 692736897, 983135280, 368627024, 941592584, 489881373, 387322179, 549522272, 474307702, -1, 840008685, 645183487, 368098175, 109523381, 608873454, -1, 802805048, 780962828, 699039325, 172220477, 149281172, 107526715, 874437754, -1, -1, 939952880, 696760180, 953156363, 221819442, 537054426, 658450651, 6831614, 977089770, 989943224, 312006564, -1, 495517633, 801436000, 886869107, -1, -1, -1, -1, -1, -1, -1, -1, 620197547, -1, -1, -1, -1, -1, -1, 592222857, 574575731, 3284593, -1, 404695872, -1, 115552961, 229598475, 939504387, 50700543, -1, -1, -1, 457571670, 321651363, 301922612, 342446637, 36956763, 815564764, -1, 585316560, 476914125, -1, -1, -1, 534629711, 331649936, 869963545, 652276762, 969357027, 847088547, 778192354, -1, 892821815, 915195297, 505291380, -1, 575938765, 869926223, 114629631, 804614821, 668139126, -1, 929496112, 554890686, -1, 428645584, 855214939, 176921449, 929864217, 168538480, 277063359, -1, 389299077, -1, 103227551, 515043822, 929246348, 563667302, 908193014, 57970044, -1, 174791279, 106018809, 580948972, 86212678, 62876802, 239995633, 169112981, 49304621, -1, 334779041, -1, -1, 896121417, 44646183, 259607909, -1, 881383810, 424408660, 90310265, 3033787, 442573284, 648465240, -1, -1, 300212596, 752104564, 634549327, -1, 597175460, 352494002, 148407433, 825819183, 791852024, 455035626, 556627933, 749201071, -1, 637488794, 997404854, 728889624, 117466094, -1, -1, -1, 101648366, 478878907, -1, 621228231, -1, 962438224, 871811200, 635926121, -1, -1, 742045373, 845711778, -1, 345889490, -1, 983540873, -1, 902894816, 162580695, 579678040, -1, 674261711, -1, 112676416, -1, -1, 814354021, -1, -1, 983066543, 68762743, 441458282, 919467331, 931442540, -1, -1, 709872673, 492062070, 856581379, 582268758, 187837329, 183924924, 118474705, 36574303, 472551217, 810660319, 397807078, -1, 607454929, 784984013, 58762271, -1, 15343953, 217018502, -1, 954270666, 379420440, 401993830, -1, 361238534, 427633437, 794228545, -1, 734219497, 250709031, 232311190, 296930928, 278729247, 957675437, -1, -1, 42312966, 560544096, 788981268, 441489689, -1, 787973548, -1, -1, 659975407, 625028179, -1, -1, -1, -1, -1, -1, 459236417, 490088340, 940654716, 892807425, 166683546, 519903355, 432100438, 573284927, 819174478, 423284776, 735072253, 907224619, 114282915, 682311210, 96461972, 520130853, -1, -1, 373638471, 344032820, -1, 763817041, 917107731, 84151886, -1, -1, 680031276, -1, -1, 20857082, 482267888, 711576417, 257764137, 684733877, 980892655, 53310272, 346296370, 769572891, 330997823, -1, 307134485, 192613857, -1, -1, -1, 200587101, 481575793, -1, -1, 414204882, -1, -1, 540931208, 857786746, 455175013, 409935164, 629036215, 675681419, 652542981, 318350275, 410334345, -1, 669466002, 182090008, -1, -1, 623182773, 154953270, 274790999, -1, 803980634, -1, 181909190, 128746609, 128605603, 938927198, 785620437, -1, -1, 325266920, 854617395, -1, -1, 939411821, 71990063, -1, 871741153, -1, 445188453, 680679479, 821294087, -1, -1, 951086854, 648655303, 707259515, -1, 992895110, 824390159, 744686593, 22683527, 939867453, -1, 768603015, 400077525, 443918214, 204575361, -1, 636856676, 359601199, -1, 722522035, 167463547, -1, 385411000, -1, -1, 596935189, 481909526, -1, -1, 823532529, 817192510, 790178595, 255133633, -1, 677599657, 31984214, -1, 263346746, 503944181, 221830230, 955021936, 541032691, -1, 591253666, 699391364, -1, 908529191, -1, 658077424, -1, -1, 362836714, 479191536, -1, 968122729, 23459474, 812252560, 38849303, 748926731, -1, 891425578, 947546264, -1, 755616538, 503486110, 932188957, 311352601, 287991720, 562932333, 364440491, -1, 206864796, -1, -1, 139706794, 766519298, -1, 346759985, -1, 267960147, 16791594, 603881913, -1, 695615839, 515363481, 640116634, 394376819, -1, 56165632, 808582627, 612071451, 393458755, 175417829, -1, -1, 631289171, -1, 359606964, 155480702, 414937638, 767816474, 882528039, -1, -1, 115206495, -1, 705347816, -1, 339120507, 983386370, 477516889, 639634442, 665967011, 986767360, 538272825, 642431980, 558483807, 483368516, 645884996, 998959926, 95775503, 768033185, 976953089, 626087891, 868747452, 891035255, 792154866, 531089908, 866580421, 511535982, -1, 648109788, -1, 355929506, -1, -1, -1, 747661126, -1, -1, 850423914, 754517455, 819962100, 427576473, -1, 695359455, 377099516, 916979004, 793905169, -1, 392590757, 350098465, 417875000, 747159110, 756629661, 166100541, 966863500, 384030210, -1, 182166175, 829121257, 501546014, 477900468, 131149860, 150047897, 662936426, 378077332, 82301992, -1, 483943830, -1, 681044398, -1, 909548551, 355890372, 156991338, -1, 975610547, 286925091, 206474534, 306587732, -1, 949441414, 380745675, 371849902, 258957733, 803325640, 817479587, 286377672, 193240019, 111583199, -1, 254701155, 410120149, 16168484, 356209851, 597859807, 441550162, -1, 229125617, 900599391, -1, 303502436, 218306617, -1, 45784958, -1, 914308876, 916535530, 20752342, -1, 87712562, -1, 952895892, -1, 846395105, 551447196, 394348470, 23868736, -1, -1, 406597501, 995767873, -1, 292167334, 981507820, 345087007, 821283391, 104939061, 51674915, -1, 857156371, -1, 862524498, -1, -1, 379139624, 129980012, -1, 313925687, 24511827, 378260345, -1, 633755457, -1, 940226952, 921915022, -1, 346164839, 900452036, 909073456, -1, -1, 620044819, -1, -1, -1, 869879064, -1, 276425438, 623978994, -1, 616814760, -1, 636933739, -1, 168690020, 55559463, -1, 534340592, 92198369, 985026028, 537025483, 649390316, -1, 25792847, 6119332, 372009862, 61637113, 451876777, -1, 409955083, 781500314, 541798260, -1, 457547133, 414976862, -1, 894275259, 862855721, 62642510, 838462569, -1, 75254804, 653872775, -1, 792313514, 914033323, -1, 4367604, -1, -1, 768198417, 324499043, -1, -1, -1, -1, 591227494, -1, 101353835, 204553677, 603911622, 341348874, 662727046, 778543825, 185440768, 549868244, -1, 517384856, 456859419, 83516884, 867450400, 421843557, 979553780, -1, 220610257, 361656446, 181504155, 126878714, 218455880, 616734880, 241127356, 233724851, 632898031, 10725253, 721720898, 686998286, 926701566, -1, 866878864, -1, 236351282, -1, 947315073, 295682909, 663931326, 532880346, 777703716, 535955468, 221723851, 113372724, -1, 307426497, 856518122, 501309931, -1, -1, -1, -1, 377522159, -1, -1, 756907355, 567576826, -1, -1, 951443832, 505828840, 448754370, 369898649, 841959827, 537949315, 741479554, -1, -1, 532297806, 373152647, 190776758, 260422366, -1, -1, 271682137, -1, 440661526, 288457188, 846326116, 765289068, 148592429, 648594865, 253137220, 354300399, -1, 853616216, 755299424, 168756343, 72939223, 802928205, 640847831, 765605634, 221116514, 501990929, -1, -1, 722973550, 237436929, -1, -1, -1, -1, -1, 949316333, -1, -1, -1, 259325506, 626507211, 723674672, 799615440, 808840855, -1, 982139571, 756613961, -1, 997572825, 553870289, 402840644, 718593723, -1, -1, -1, 42161242, 237383807, 223401643, 66181093, 848119149, 284650396, 903755748, 185224008, 933555167, 791991799, 9033358, 964873845, -1, 186643774, -1, 654137611, 115233400, -1, 753773721, 315770786, 838013407, 760165807, 877212307, -1, 534181255, 924688923, -1, 175172116, 25139454, -1, -1, -1, 219661574, -1, 860603742, 157340224, -1, 790313994, -1, -1, 628788137, 311629760, 765824127, 669055691, 341939934, -1, 386496230, -1, -1, -1, 762807643, 407999807, -1, -1, -1, 358092921, 985495388, -1, 809990941, 907222152, 746333807, -1, 775461237, -1, 787486116, 125064930, 878849498, 443302543, -1, 15677815, 935167807, 477567074, 733388869, -1, -1, -1, 487682315, 773549886, -1, 734977819, 993890271, 463526964, -1, 837115411, 15502652, 572837168, 57007042, -1, -1, 807660622, 765290508, 323359729, -1, 487674924, 825832791, 976120116, 647661232, -1, 660416895, 904925394, 740455719, 18157888, 268190222, 207130659, 577777881, 944246136, 422511500, 733461256, -1, 585827108, -1, 486177521, 815459704, 134830506, 260895523, 538611928, 259705209, 663078592, 791177381, 758646521, 674488468, 774781600, 11475748, -1, 336017748, -1, 758664508, 861901209, 931873315, -1, 819307536, 825083932, 437772143, 464134609, 161218439, 901829874, 433342730, 829294758, -1, 357329801, 551518755, -1, -1, 159809090, -1, 173748678, -1, -1, 423182227, 511520084, 602887309, 448347899, 267050654, 313725171, 979584574, -1, 701012201, -1, 418987514, 351339703, 985211225, 923550454, 55500062, 754109942, 85130974, 379740044, 4734750, -1, 816066034, 645967865, 844913062, 479284879, 78203787, 821274251, 593387198, -1, 743560706, 557822139, 66308680, 774840185, 354418944, 502725378, -1, 221058921, 905012857, 481255033, 305202740, -1, 116160616, 420973097, 679234150, 675020152, -1, 476776776, 55153679, -1, 769171090, -1, 3314080, -1, -1, 362275196, -1, 935313659, 368650407, -1, 175460995, 201134861, -1, 734870814, 98260791, -1, -1, 821096425, 143685909, -1, 68373458, 770481928, 6503743, -1, -1, 750372025, 294897578, 229335457, 782858055, -1, -1, 678540753, 97464939, 97983835, 140363275, -1, 752255339, 388951422, 477178443, 992328106, -1, -1, 400401320, 927266201, -1, 495507929, 638118906, -1, 41635116, 41971403, 300916143, 663294846, -1, -1, 358999617, -1, -1, 886669065, 832412484, 18481974, 10112801, 809872178, 844084302, -1, 744421572, 174874028, 991546898, 60206185, 404553212, 475681207, 137286566, -1, -1, -1, 160239039, 205744613, -1, -1, -1, 740287596, -1, 595745235, 238579843, 91758533, 71247983, 650220629, 910508407, 828350715, -1, -1, 693379916, 265908522, 664558598, -1, 509068668, 998140612, 441240277, 133524503, -1, 373911875, -1, 695340619, 126460962, 31182349, -1, -1, 843169117, 388390521, 62377515, -1, 841146454, 209533300, 94403604, 536396090, 115331175, -1, 778195425, 848904597, 144504223, 284812400, 236318173, 926060812, 406207156, 178859788, 643048877, 605526984, 549316195, 699462881, 549185162, 4444961, 799229650, 750319690, -1, 583044283, 669348681, 886353543, 607786364, 451823499, 946068857, 703068001, 399406379, 577559342, 935702968, 270086885, -1, 222034999, 959481574, 883978773, 649781157, -1, 971049690, -1, 197214143, 715664241, 961785885, -1, 774551630, 291813520, 915898330, 47647696, 737485017, 217245550, -1, 886416719, 753118249, 929094460, 651867742, 460055544, 14401172, -1, -1, 106546008, 324444427, 758989116, 608269392, 781095195, 452546118, 518235825, 99467719, -1, 542972434, 747369442, -1, 560572962, 717271262, 135248473, 689498785, -1, -1, 851995131, 156569670, 263915128, -1, 150824986, 19403504, 526522690, 298776130, 480964392, 437526081, 843061012, 15061251, -1, 694484224, -1, 357529780, 127219991, 29672870, 921252682, 487827486, -1, -1, -1, 849509341, 981541141, 681060577, 597591523, -1, -1, -1, 601741258, 841876368, 214231669, -1, 837932973, -1, -1, 941525470, 222607652, -1, 831769012, -1, 56518829, 629840499, 411987963, 458340781, 620846627, 204931581, 312368725, -1, -1, 663470647, 355548923, 551907290, 385785272, -1, 356956357, 862466446, 875112916, 822467182, 323630872, 622988396, 660433894, -1, 147707086, 573740482, -1, 932896200, 475775725, -1, 606023832, 752099719, -1, 244752260, 95107579, -1, 506309166, -1, 844507081, -1, 419615176, 122419181, 406139018, -1, 36639017, -1, -1, 819972098, 137974211, 4114585, 800542050, 834318276, -1, 388990541, 370220522, 467123228, 379881087, 846347318, 771386872, 496396837, 188004037, -1, 865586740, -1, 538005381, 378834111, -1, 973750545, 429422654, 921967423, 425555312, 531643898, 585173681, -1, 563616336, 14014161, 560859260, -1, 451799843, 203781073, -1, 742624605, 973200093, 827127654, 70213033, 778012201, -1, 964440048, 398041993, -1, -1, 489420709, 985643799, -1, -1, -1, 866328405, 222136206, -1, 726095911, -1, 970107097, 456250904, -1, 954191691, 458674117, 462143302, -1, 494228654, 549129252, 338012888, 92143101, 374677620, 957695971, 412644427, 838765257, 435722383, 779536286, 828058630, 705354550, 534472039, 849141146, 80556938, 625298304, 607600315, 896128909, 243038959, 879284877, 158752580, -1, -1, -1, 269973312, 585381215, 1673561, -1, 250708345, 420200681, 579807411, 575231616, 346032506, 494886836, 892143758, 110786885, 87043840, 804727020, 455700185, -1, 526065019, -1, 762629304, -1, 433344643, 569566283, -1, 390413287, -1, 178807802, -1, -1, -1, 620567969, -1, -1, 89875956, -1, 570346845, 257153870, -1, -1, -1, 315729391, 595203938, 415960258, 95708785, -1, 563411679, -1, 386101769, 374095620, 604460204, 411298207, 367578574, -1, 460647920, 289466374, 229350011, 528843678, 189844988, 134007954, -1, -1, 412336582, -1, 353954437, 809496025, -1, 166045011, 219838342, 27212599, -1, -1, -1, 235824640, 367320039, -1, -1, 14912384, 766950619, 300990589, 974879436, 379558591, 580590674, 752059851, 983913683, -1, 175087152, 725750027, 482730151, 909057072, 211635086, 985448182, -1, 577399309, -1, 247961306, 456519011, 863554861, -1, 544032037, -1, -1, 827237564, -1, 73045966, 730593415, 602333600, 786614622, 544445567, -1, 752388975, 226078469, -1, 627490134, -1, -1, -1, -1, 132979221, 573126843, 163625426, -1, 668637199, 840847529, -1, -1, -1, 440148597, 589716292, 294922978, -1, 860657483, 117061541, 697148616, 238036356, 718706750, -1, 957830162, -1, 484892120, -1, 640735391, -1, 436506637, 752564497, -1, 838239563, -1, 947231837, 480813013, 899139042, -1, 447686924, 530186290, 857272764, -1, -1, 596341857, 194302295, 339972122, -1, 14768524, -1, 18216579, 683223289, -1, -1, 465737633, 897428197, 17000748, 126131465, 592385423, 855105249, 402069123, 768050880, 423208183, 659550050, 450368497, -1, 563310885, 907198993, 670710082, -1, 954087414, 152758359, 789879813, -1, 347525610, -1, -1, -1, 712095857, -1, 650734398, -1, 818508603, 639234712, 495481620, 185386348, -1, 143558783, 3574298, -1, -1, 724986720, -1, -1, 703687126, 984713350, 323511125, 887915422, -1, 479547152, 162480509, -1, 34470544, 392291144, -1, -1, 452709524, 55654880, 66536601, -1, 85231456, 501145322, 53983337, 983548270, 481033208, 930396254, -1, 309858915, -1, 508939699, 14412846, 437781370, -1, 469599458, -1, 567983832, -1, 750829934, -1, 67017731, -1, 256279643, 515045623, 482803133, -1, -1, -1, -1, 887964353, 661652252, 962071447, 359884735, 575893203, -1, 355939392, 858699854, 263574520, 986932835, -1, 706012548, 472489921, 347362627, 488441181, 341797546, -1, 451552573, 938482017, 137883953, -1, 469780251, 854161613, 670265069, -1, 340133672, -1, 954364194, 733655746, 416634811, 826944858, 791105188, 21294448, -1, -1, 902175811, -1, 818968798, 747579135, 760820188, -1, 829573938, 347725833, 850623298, 808841648, 650567482, -1, 748822848, 303550403, 27355703, 155226640, 189408915, -1, -1, 202083378, 645095494, 341401917, 986764672, 222815872, -1, 670514776, -1, -1, 707038791, 806202784, 728958647, 82369908, 586033335, -1, 416091118, 214832145, -1, 914117716, 27080040, -1, 472368618, 493358177, 517497847, 999693666, -1, 602154228, 575997462, 563682249, -1, 197197367, 240758691, -1, 813540066, 475333951, 793167136, 8625224, -1, 619247919, 541895124, 944062261, 178099501, 109603930, 115596047, 471032521, 636138644, -1, 230079430, 474487687, 61671737, 533237894, 229229205, -1, 446217425, -1, 344261650, 457748086, -1, 36194358, 540939225, -1, 355321588, 262196120, -1, 595509360, 119116623, 183640875, 714829013, -1, 789973730, 899162565, 457660295, -1, 656946733, -1, 586890016, 90546254, -1, 629267255, 893305800, 788407241, 202126020, 213798183, 22536150, 452576651, 650646769, -1, 651809936, -1, 544513147, -1, 791110512, 734078334, 376002130, -1, 921013123, -1, -1, 275859547, 200149733, 47021341, -1, 225361036, 601492831, 615873802, 116423305, 493966200, -1, -1, -1, 816830311, 557935232, -1, 460966049, -1, 555669911, 529090211, -1, 764271350, 966748589, -1, 403373495, 417789711, 102796397, 349329946, 442646306, -1, -1, -1, 538331139, -1, 342704587, 30847118, 689385004, 478235262, 932318868, 589066698, 228453906, 497244389, 668009683, 438089035, -1, 921712967, -1, -1, -1, 907016014, -1, 199766019, 149778234, 403575434, 214878763, -1, -1, 924997416, -1, 343948762, -1, 55501255, 26807542, -1, -1, 583137565, -1, -1, 510856124, 783869604, 520132473, 591199186, -1, 271297865, 313768486, 796317158, 242011745, 294415218, -1, 83587651, 254564888, 915191284, 24118936, 854717565, 186520862, -1, 996071598, 518156984, 407128347, -1, -1, -1, 725584937, -1, 547756950, 645466398, 736521298, -1, -1, -1, 82982967, 966771953, 162996801, 765943135, 523584147, -1, -1, 980841026, 30716067, 335245214, 790481611, -1, 114124227, -1, 840037741, 826913275, 87368029, -1, 211304785, -1, 136195547, 631461924, 656643932, 130150401, 327831428, 995642195, 551787795, 191418879, -1, 921397730, -1, 533350729, 241547207, 620784464, 972898079, 67245111, 334426176, -1, -1, -1, 649184924, 935551016, 962980644, 177442603, -1, -1, 407319602, 741355875, 105195971, 777107647, 717303919, 259476448, 197798859, -1, 783446129, -1, 847491528, 985287206, -1, -1, 263602065, 392816321, -1, 3185789, 212373230, 24362903, -1, 548207091, 891172617, 25218495, 70484855, -1, 427863266, 629650876, -1, 174732539, -1, 399373216, -1, 576688204, 744710791, -1, 144977274, 190180328, 290095304, 343384059, -1, 220984534, -1, -1, 659102384, 252278482, 985889287, 881415248, -1, 96890403, -1, 496042012, -1, -1, 251519956, 353598675, -1, 104982739, -1, 453631522, 659138486, 913514366, 78801985, -1, -1, -1, 915142404, 277760322, 695280824, 574238789, 102220724, 760769534, 182002150, 282462400, 465838572, -1, 657783753, 403784776, -1, 680185743, 739249179, 587965134, 845015345, 386728099, 29546114, -1, -1, 337128428, 363499153, -1, 805165718, 893209916, -1, -1, -1, 426383950, 544882967, 450579918, 232568932, -1, 816773193, 953586020, 715065808, 668244370, 225824965, 716744238, 591775896, -1, 845822378, -1, -1, 100735669, 939116202, 845916045, -1, 104848984, 1563913, -1, 350965205, -1, 352094932, -1, 765775909, 31692746, -1, -1, 614318436, 616798935, 366658150, 605788553, -1, 357904045, 711136038, 869908193, 343511300, -1, 24308717, 923480577, -1, 909773401, 440063100, 675895850, 296671214, 824583636, 174013308, 175617192, -1, 368237996, 656208382, -1, 24232200, 351364486, 970353143, 541850155, 363949610, -1, 673627392, 826061969, 251935511, 182641037, -1, 47692180, 425703488, 252638370, 981212142, 688296654, -1, 64894112, 107373806, 764244564, 445289448, -1, 856409236, 471211118, 429494234, 629015503, -1, -1, 327145798, 485468859, 905205649, 833990790, -1, 434216401, 673878371, -1, -1, 903990193, 649554507, -1, 245023522, 250218900, 17870237, -1, -1, 902220942, 131961401, -1, -1, 44178254, 667379413, 371433236, 105838922, 417289941, 939382413, 75237497, -1, -1, -1, 86450744, 436441343, 898702357, 111925585, 663691954, 348135056, -1, 718369625, 29142293, -1, -1, 873146400, -1, 902398711, -1, 995600, 599131027, -1, -1, 511685279, -1, 645421797, 677583856, 274491774, -1, 233780795, 715805445, 194440543, -1, -1, 493580774, -1, -1, -1, 670172298, 386306513, 951482291, 927537332, 488852229, 307744780, 45536974, -1, 227895133, -1, 799275274, -1, -1, 943873959, -1, -1, 588598222, 63757996, -1, -1, 522659812, 625047997, 87703560, -1, 67127169, 824803047, 746908993, 927904622, 612317587, 761043778, 878539815, -1, 502427943, -1, 296917565, -1, 829219785, -1, 682098670, 330625728, -1, 808316222, 997406047, -1, -1, 849113132, 308067867, 774425737, 863252387, 657064559, 395037037, 172189088, 666808297, 491104691, -1, 386453198, 249958922, 910470095, 353387724, 362685450, 547906501, -1, 885927886, 20454949, 86382917, 576597935, 167311011, -1, 804958588, -1, 220543675, 385136503, -1, -1, 617969920, 648793727, 989456939, -1, 712898307, 636885535, 202008777, -1, 586963634, 284283332, 389625229, 595886534, -1, 767915258, -1, 468075617, 221618976, -1, 702813882, 582048296, 596884203, -1, -1, -1, 603742495, -1, -1, 943339609, 346570636, 727090841, -1, -1, -1, 849501174, 454041977, 680448825, 602787143, 521766136, -1, 13763202, 246205395, 676405052, 446756762, -1, 493477374, 484917177, 630829759, 653718833, 314527245, 101418542, 842372163, -1, 817169586, 566978928, -1, 632366241, -1, -1, 404831141, 90214116, -1, -1, 654568569, 83448258, -1, 195310502, 632115125, 771920574, -1, 946979018, 451355773, -1, 779026233, -1, 241192092, 921449935, -1, 676938550, 347078490, 319097508, 826946966, 814517329, -1, 512161021, 53014825, 129743407, -1, 531431764, 676200053, -1, 415963280, -1, 737392656, 485246021, 285691194, -1, 659314063, 628687685, 384575761, -1, -1, 302752958, -1, -1, 802643823, -1, 174655187, 300680223, 618006886, -1, 813333291, -1, -1, 798733009, -1, -1, -1, 619252244, 406404890, 447180909, 157287266, 245304313, 418956027, 656138630, -1, 326978502, -1, 116993781, -1, 994666136, 952377590, 602900417, -1, 852419456, -1, 332157245, 631372502, 92660304, 664203466, -1, -1, -1, 889274220, -1, -1, 326982244, 732621001, 662160578, 43185254, 198844699, 607950748, 47950152, -1, 628189685, 535483011, 931489031, 189488817, 135256539, 775193598, -1, -1, -1, 78783675, 125075831, -1, 524579652, -1, 513177282, -1, -1, 677153653, 348836916, 856472767, 489500923, 251522520, 896706273, -1, -1, 16116557, 542179931, 424222001, 293115672, -1, 41309762, -1, -1, 412907213, 163202809, -1, -1, 96138200, 582880467, 830612725, -1, 811597614, 437172604, 38145465, -1, 192916107, -1, 915063731, 79199943, 365014997, 801097203, 670767549, 659296926, 125694557, -1, 258070882, -1, 267273117, 289079885, 769538650, -1, 57270459, 399725835, 687065748, 594568438, 70623290, 271364394, 813801577, 612050431, -1, 97870849, 870484971, 545944530, 893138491, -1, -1, 746715736, 928711910, 103800923, 782214787, 282764352, 247059838, -1, 934909515, 161388463, 172442899, -1, 518743372, -1, 775547709, 573448552, 915722987, 270157939, 679993994, -1, 580743399, 425718055, -1, -1, 421140689, -1, 252650051, -1, 709184197, 95133434, 826872815, 623825588, 188566728, 818911075, 684831147, -1, -1, 524030594, 119945583, 524444048, -1, -1, 582546442, -1, -1, 901116591, 787626195, 648066437, -1, -1, 617074557, 471049067, 285580114, -1, 954818363, 704676502, 56127195, 817018855, -1, 920952705, -1, 52543105, 360800864, 963537937, -1, 255078303, 720053817, 630393318, 3654052, 86938727, 111841515, 533601057, 945079016, 518642421, 879787118, 220713432, 987303846, 188660409, 943462758, -1, -1, 3539386, -1, 486523674, 239604778, -1, 83445197, 598101608, -1, 337021511, 671308546, -1, 731493019, -1, 327450846, 209103936, -1, -1, 840116561, 925727925, 322643268, -1, 139212154, 973068961, 903530308, 816958616, 940703262, 512844620, -1, 782211284, 567544389, -1, -1, 371379109, -1, -1, 759765055, 608542745, 375176095, 743095477, 335644395, 890059061, -1, 495049998, -1, 715646746, 750628165, -1, 569008085, -1, 729438558, 374211001, 138999691, 806253050, -1, 939140765, -1, -1, -1, -1, 372861253, 58781372, 125866428, 909041002, 754168104, 770603193, 783070867, 399195817, 681650165, -1, 479129155, 848152452, -1, 691500317, 327426741, -1, 948784717, 422361804, 825143318, -1, -1, 920208055, 164112740, 104528347, -1, 662452859, 36549470, -1, 324148747, 373968431, 269609041, -1, -1, 318612036, 818774196, 207644623, 345036179, -1, 793476665, 155124718, -1, -1, -1, 128151099, 712126586, 997887157, -1, 742176319, -1, 510375890, 118032555, 890172314, -1, 566369785, 144040062, 932865685, 580553297, 969783662, 653540685, 43701717, -1, 324088016, -1, 950279029, -1, 802822448, 20689898, -1, 766911232, 24750895, 121851307, 610464183, -1, 564728309, 597338075, 341143964, 239230611, -1, -1, -1, 481615216, 77639683, 361051306, 806156777, 23910822, 17464693, -1, -1, 625747906, 499641865, 430420862, -1, -1, 620546332, -1, 815007087, 929110348, -1, -1, 987045958, 186294322, -1, 66417087, 474668975, 455789052, -1, -1, -1, -1, -1, 529772738, 818638028, 401998995, 846772775, 700144308, -1, 687852458, 158021177, 113404508, 235352635, 168343360, 108805829, 978699967, 787971577, 191076548, 998990718, 967965293, 930430733, 830416776, 842725624, 855724688, 961667844, 257742420, -1, -1, 664903825, 310477825, -1, -1, 177676186, -1, 351435896, -1, -1, 680010617, 7297179, 910503562, 253866132, 833347195, 971440721, 256461759, 626165091, 218989891, 714973216, 576187260, -1, 10563856, 428901292, 80027054, -1, 677470697, -1, 606183823, 78189169, 494516786, -1, -1, 860538724, -1, 745858581, 480282527, -1, 534726140, 320145072, 841646402, -1, 89499086, -1, 972901746, 890639771, 117795975, -1, -1, 656806069, 744731199, -1, 836310874, 906543813, -1, 358787751, -1, 681627771, -1, -1, -1, -1, 883426604, 197964568, 622977290, 455569997, 672683504, 5163578, -1, 979006572, 503672458, 146053560, 131868943, -1, 533473004, 291106856, 467551812, 274122214, 933273328, 307109762, 494256841, 629914824, 560075242, 988136233, 221032052, -1, 253465719, 259676287, 811959954, 786069138, 809095989, 368000630, 883020945, 515398312, -1, 772848902, 668070017, -1, -1, 793307587, -1, 449730751, -1, 910239021, -1, 841549401, 819359407, 963377040, 135199900, 623578807, 372832279, 78231197, 734312327, 66396817, 986344664, 694016160, 94122481, 766486747, -1, 262369167, 818649748, 716497816, 892072910, 30062924, -1, 124066230, 786115813, 489248833, -1, -1, 291281958, 131361395, 111833385, 349738729, 968708604, 107454349, -1, 173019557, 857748302, -1, -1, -1, -1, 28575494, 838522651, 733327311, 48697533, 833703877, 915372528, 154958996, 786233380, 657695841, 969481841, 324812243, 182258321, 464460377, 293033909, 198189953, 688813214, 176264904, 242409201, 62261667, -1, 171028571, 751275166, 638672257, -1, -1, 492024891, 984737632, 155020223, 131173393, -1, 916943078, 132347032, -1, -1, 328030673, -1, 414028350, 331579644, -1, 232830685, -1, -1, 621211688, 123456173, 390740381, 988595206, 73861567, 962244241, -1, 462958246, 492705613, 275073674, -1, 381223075, 502060207, 471450517, 736147445, 446819846, 960289868, 570586699, -1, -1, 712417966, -1, 354606090, -1, -1, 354651307, 473302468, 422093604, 635719828, -1, 62916041, 284181378, 304647195, -1, 787946306, 881792763, -1, 118140588, 598227938, 70363564, 95500661, -1, 742175352, 287652985, 709043091, -1, 289940308, 429612602, 115372445, 868903752, 941701418, 341594657, 926845463, -1, -1, 916830706, -1, 513665769, 429557607, 105900199, 458447278, 598977474, 144552663, 922992907, 79461863, 931840239, -1, -1, 904161891, 546401713, 339495689, 279735428, 631672302, 473602988, 945528355, 984077885, -1, 587486059, 556005517, 755876738, 281026827, 892714720, 83159274, 674990795, 678975388, 652838505, 867412627, 808387722, 910502812, 870022298, 24095279, -1, 319020221, 343617686, 370926237, -1, 33871877, -1, 394039506, 325908185, 335379436, 41252788, -1, 935209621, -1, -1, 866956598, -1, -1, 899568374, 783688001, -1, 17263379, 926506460, -1, 662070162, 763655795, 660257331, 514042906, 833271074, -1, 763991350, -1, -1, 891578111, -1, -1, 336537814, -1, -1, -1, 478256910, -1, -1, 396742130, 70878139, -1, 843594949, 611589035, 695427181, 9159408, -1, 916425407, 273682342, 213004712, 993771355, 908125709, 96374849, 372447953, 706747157, 285699074, 534580653, -1, 410921750, -1, 456566384, -1, -1, 924107212, 340338947, -1, 592785292, 156515831, 274076268, 714842890, 61163498, 22962575, 143751638, 676926461, -1, 561134152, 59924208, 729808025, 833911727, 496639475, 210336995, -1, 792906807, -1, 224593448, -1, -1, -1, -1, 358456570, 641417543, -1, 989133247, -1, 660555027, 382471364, 477227513, 262683904, 913844700, -1, 885316544, -1, 286793546, -1, 691450800, 50118150, 68316135, 868797626, 570303262, 598575575, -1, -1, 959050803, -1, -1, 474460871, 747415623, -1, -1, -1, -1, 775108217, 954594104, 233006655, 664410013, -1, 234218385, 582952029, 351843570, -1, 969254881, -1, -1, 248705683, 827021918, 868423004, -1, 263452138, -1, 10736226, -1, -1, 49613215, 211511119, -1, 34522879, 128604960, 559270611, -1, 691064415, -1, 928712639, -1, 42513266, -1, 109907182, 382928697, 393401896, 812388892, -1, -1, 470887084, 726474505, 763389862, -1, -1, 818300501, 869612129, 666263766, 894468214, 254922965, 518836630, 147864951, 459783197, 408615074, 408074157, 78428522, 850306570, -1, 896152144, -1, 633604906, 207952478, -1, 758829471, 20685921, 9959264, 491996109, 755531405, 615695693, -1, 415677128, 2413399, 819683001, 583506795, 487861472, -1, 857037335, -1, 211123183, -1, 570853597, -1, 82462398, 275221396, 471314938, 254019308, 550429769, 861639582, -1, -1, 185972319, 498973335, 892125957, 776448205, 630908656, -1, 154373426, 173900269, 641968702, -1, 445952719, 961296967, 123754065, -1, 693215913, 598888286, -1, 326098477, 382093690, -1, -1, 498947187, 721647583, 465789089, 658310306, -1, 725787154, 335384625, -1, 271009245, 973646902, 982540647, -1, 145410365, 373186169, 146711721, 357422291, 300910172, 671355129, 970298596, -1, 673439000, 172972761, 438714676, 5535084, 126273163, 343067180, -1, -1, -1, -1, -1, -1, 551736638, -1, 727182178, 869387005, 465436718, 453397472, -1, 523765701, -1, -1, -1, 704416992, 778500039, 959337600, 59295493, 551199043, -1, 201960839, 602741446, -1, 482853450, -1, 135833718, -1, -1, 564920767, 426329885, -1, -1, 54217965, 550525099, 208619312, -1, -1, 226846553, 694214611, 808415427, 943282032, 847457320, 511889671, -1, 258611052, 76365151, -1, 954290054, 130703938, -1, 553018763, 120087387, -1, 729712047, 715348912, 198273927, -1, -1, 513713687, 937736097, 398452736, 901134343, -1, -1, -1, 99016133, 110475605, -1, 875692657, 777682126, -1, 301216006, 444907601, -1, 79108578, 811363302, 874594381, 582743372, -1, 364122249, 706720026, -1, -1, 280555104, -1, -1, -1, -1, 789693655, 398293569, -1, 344062470, -1, 314415876, -1, -1, 609774061, -1, 668375964, 72104698, -1, -1, 654074764, 446563181, 917719199, 293161631, 217256300, -1, 537649023, -1, 463026345, 454906506, 988113267, 768487035, 419212323, 485381256, 870947595, 19414656, -1, 904190455, 507403455, 324067624, -1, 661042151, 125699679, -1, 420818408, 851192508, 780629821, 479192362, 635128434, 79464689, 825401461, 407083969, 73758497, -1, 688276566, 577068584, -1, 180856990, 399573956, 631426380, -1, -1, 378894387, 407639068, -1, -1, 287806807, 617519453, -1, -1, -1, 480703170, -1, -1, 607625857, 591296355, 174838626, -1, 995586822, 575992773, 275116885, -1, 662368611, 479025280, 810579018, -1, -1, -1, 697641742, 902357206, 281626861, -1, 21807540, 993970753, 568625681, 408578587, 147965115, 70345648, 558106172, -1, -1, 81890950, -1, 591634969, 139647407, 568247243, -1, -1, 891023368, 161780028, -1, 209881067, -1, -1, 103160296, -1, 175312907, -1, 36592568, 986188671, 50492766, 496395286, -1, 240089523, -1, -1, 200470267, 28948863, 666731702, 95024255, 906066626, 283175969, 958502610, -1, 753633127, 133175244, 6130209, 394313124, 127189943, -1, -1, -1, 921866974, 815374129, 666543703, 118227211, -1, -1, -1, 816546626, 802071806, 617896955, -1, 391020514, 247276987, 827988513, -1, -1, 672068646, 522814259, 964734782, 906254820, -1, 672716825, 213472378, 833362538, 515536866, 75906980, -1, -1, 768945390, 14213831, -1, 638738481, 631720095, 937080076, 817529953, 744303592, 586668866, -1, -1, 847517087, -1, 142074984, 32573925, 807095569, -1, 226719911, 832554879, 799499460, -1, 467039820, -1, 644278113, 389060360, 197715317, 102765476, 341446195, 716034694, -1, 88675824, 256398207, 42492946, 452410684, -1, 216443294, -1, 412733881, 553654986, 35863234, -1, 930599368, -1, 610391401, 784696633, 687856295, 263144585, -1, 404197568, 896418949, 688685061, 371207310, 790308241, -1, 382078443, -1, 679738269, -1, 184587205, 806754967, 295882298, -1, 938784949, -1, 31702553, 641331823, 588657050, -1, 841331433, 414501986, -1, 114404114, 649898241, 734616366, -1, 349978886, 785802945, -1, 161756890, -1, -1, 620386713, 63660717, 540322212, 149297253, 618151697, 151275244, 637450344, 655299605, 139180604, -1, -1, -1, 545392306, 231933692, 711870592, 360237724, -1, 703717179, 464972924, 944472239, -1, 174179959, 762136910, 392175739, -1, 418543145, 934778468, 877736927, 241258167, -1, 517836612, -1, 935522627, 750260712, -1, 471990795, 847524062, 406310751, 182642139, 302068929, 531772527, 94531899, 349250979, 267109614, 62465327, 949598089, 116118368, 462020526, -1, -1, -1, 52296368, 460385128, 699815712, 487046270, 259398228, 634022460, -1, -1, 521536643, 479305295, 856158562, 358336490, 175520096, 13410992, 842355520, 439587676, -1, 675238982, 985799017, 881956690, -1, 224800569, 547699900, -1, 465982028, 236815573, 896627043, -1, -1, -1, 582487357, -1, 201993645, 912445785, -1, -1, 875611406, 203522439, -1, -1, 163231463, 297910357, 710690056, 759863971, 877306278, 313491608, -1, 493834876, 17877629, 32090329, 907157684, 229231232, -1, 879817376, 301462481, 173343766, 394490467, 323117685, -1, -1, 858206581, 391765235, -1, 598512739, 522059662, -1, 597828567, -1, 863530684, 874636338, -1, 66618912, -1, 901799562, 212028900, -1, 706273963, 959068801, 573415743, -1, 11161579, -1, -1, -1, -1, 799205838, 142639191, 853921191, -1, 489493563, 258649417, 308895465, -1, 619969639, -1, 817298549, 3823086, -1, 74145207, 850326565, 875401363, 629927273, 166845663, -1, 307206289, 80045252, 463152651, -1, -1, 435189989, -1, 433025289, -1, -1, 213068858, 802654238, 617021209, 620675887, 788022903, -1, 958003313, 625282910, -1, 413757068, 710253299, 192938441, -1, 962416594, -1, 738766351, 397889377, 975723641, 335532647, 984877764, -1, 227529672, 30565319, 657863317, 52500798, -1, 63362477, -1, 960836637, 726456950, 550058, 569066337, -1, -1, 865033127, -1, -1, 627673417, 861873969, -1, 40614969, -1, -1, -1, 389853429, -1, -1, 34527254, 470982370, 547333859, -1, 696568646, 80188229, 667807587, 860693703, 426332515, 770498756, 14274655, -1, 79519246, -1, 300884271, 381469161, 311184699, 330687788, 673508732, 909388074, 680582570, 85691677, 654435734, 566858328, -1, -1, 935227541, 112528705, 208192176, 15423039, 753059601, 864346288, 686495930, 59951192, 102756689, 898466460, -1, 813168548, 480389195, 792301183, 944753901, 734415018, -1, 242249451, 465750947, 186087362, -1, -1, -1, 177922173, 27689112, -1, 537456257, 525082440, 630558026, 640677688, 898680877, -1, -1, 603045860, 288058736, 814518183, 578389305, 300591333, 676715476, 813263766, 646882134, 343243631, 655043929, 300844956, 73409956, 406296355, -1, -1, 468566540, 302847297, 625528967, 85850427, 878631463, 273765798, 645086630, 476771633, 85845661, 968966696, -1, -1, 401081788, -1, 810522238, -1, -1, -1, 570736120, 347506051, 293370165, 558902783, 724783448, 387282575, 449475222, -1, 91373361, 516361775, -1, 280643534, -1, 8765513, 525512016, 360998523, 549961383, 255970717, 379946409, -1, -1, 664355251, 286094168, -1, -1, 593649335, -1, -1, 926987438, 785244470, 2128795, 158666258, -1, 616029541, 453791474, 51778586, 972121001, 616653379, 428754022, -1, -1, -1, -1, -1, -1, -1, -1, 835865871, 577169171, 572480372, 573494854, 173675336, -1, -1, 288638009, 813414341, 472113284, -1, 129993787, 197553796, 667013074, 323289395, 891212843, 448013357, -1, 593318780, 74091509, 951105421, 760370656, 235262297, 565391076, 552027661, 286369600, 733071096, -1, 140477689, -1, 839405388, -1, 714034299, -1, 258221439, 520599228, -1, 447893133, 1829793, 679529544, 928184808, -1, -1, -1, -1, 564678286, -1, 377812334, 307341953, 37797782, 227997377, 314843294, 254383722, 49037225, -1, 550556260, 767576017, 111210097, -1, 849678319, 752142106, 64846485, 466447567, -1, 591049476, 458765739, -1, -1, 457690602, 801209762, 834320275, 847664135, 659255175, 531427870, 78672199, -1, 282698339, 985080082, 953438956, 78466174, -1, 303524798, 784735533, -1, 411880048, 851109705, 321153236, 274642428, 396369656, 759860572, -1, 261782119, 673928651, 803993330, -1, 388191326, -1, 733411073, -1, 306581920, 296630888, -1, 975687661, -1, 488875455, 18018926, 875887286, 404690727, -1, 457677696, 749731792, -1, 760168231, -1, 151726021, -1, 448691084, 491795485, 771927671, -1, -1, 626651976, 243177443, -1, 647019986, 186925080, 504739666, 224894364, -1, 216103355, 2739388, 742236082, -1, -1, 562353760, -1, -1, 521809199, 561673512, 541222801, 683148022, -1, -1, 905343073, 181738365, 349371953, 878767660, -1, 492972567, 165888876, 562201760, 48667267, -1, 791122757, -1, 387683109, 914941931, 944547601, 384818330, 160479891, 910180218, 623973959, 956319773, -1, 509165872, 613833012, 101937103, 308609656, -1, 425967901, -1, -1, -1, 249747325, 133183098, 216462989, 878976219, 946922729, -1, -1, 867535214, -1, 239251151, -1, -1, 137667072, -1, 731211042, -1, -1, -1, -1, 984285077, -1, -1, 620034683, 691454389, -1, 899883047, -1, 679168261, 989560556, -1, 820911140, 90679719, 217685716, 395622501, 807568823, 846828443, 452841790, 321288719, 919100679, 126738515, 707894375, 355566796, -1, -1, -1, 160613219, -1, -1, -1, 515590045, 456645423, 148003688, -1, -1, 24238279, 715987819, 810294465, 717409663, 172234230, 28769709, -1, 344384641, 235051435, 708108759, 855263654, 1702054, 671688582, 88252003, 603564783, 339577225, 676852436, -1, -1, 227989544, 390050780, 115938050, -1, 469318635, -1, 539785107, -1, 964188119, 982882085, 976326626, 891775788, -1, 161510320, -1, -1, 472552034, -1, 630004983, 601248203, 379695783, 579156573, 119740677, 368927902, 339520897, 291366763, 642935180, 928239850, 807031871, 483080337, 746312563, 256286455, 615720354, 593303831, 192329279, -1, 201168747, 867859958, 347922951, 219990453, 907459487, 40065075, -1, -1, 947126711, 7245657, 869499359, 95826867, 21527368, -1, 389389869, 746056649, 763658998, 81169798, 143469442, 892033008, 545370349, -1, 496061789, 490321978, 238977953, 581471793, 827880791, -1, 83634167, 463104428, -1, -1, 896817493, 325976854, 422349204, -1, 739921314, 117553136, 387672482, 111548575, -1, 681285376, 721507229, 313884943, 222190559, 192734519, 315348047, 879059296, 990740397, -1, 139514018, 382610000, -1, 407145684, 451083450, 999868282, 670754213, 560588287, -1, 860047303, 924273781, 848584088, 996281311, 615782732, -1, -1, 523569792, -1, 728950378, 193029645, 814526683, 350959965, -1, 308722462, -1, 740828858, 202309679, -1, -1, -1, -1, 839472837, 934994203, 148450070, 753267936, 995244092, 741459967, 460212652, -1, 691526208, -1, -1, 418867060, -1, 224667662, 38901709, 889855551, 600326147, -1, 479850156, 822975716, 953663162, 140292830, -1, 831014844, 69203058, -1, 599794366, 894118721, 719931855, 976773487, 947562989, 454588986, 387864607, 956264378, -1, 532141977, 156698741, -1, 63408501, 293417146, -1, -1, 487016912, 282255741, 511875524, 195088890, 793484692, -1, 638998651, -1, 303263697, 572426851, 91466904, -1, 337882476, 272749289, 126154017, -1, 160437091, -1, 666988709, -1, 265034867, 576282380, 636213031, -1, 840066662, 773555612, 182056126, -1, -1, -1, -1, 695720425, 335267274, 563808976, 78715536, 631895882, 441019559, 48568352, -1, 6532281, 49720801, 898718135, 322454931, 253941925, 531473225, -1, 489368038, 501050854, 474597651, -1, 501987021, -1, 250202592, 697925998, 623615297, 23268058, 806702671, -1, 56210074, 348398042, 919872527, -1, 343868629, 210722721, -1, 749138383, -1, -1, 342763764, -1, 866132251, -1, 761088010, 714476463, 596193379, -1, 782859509, 138513883, 528492273, 630199387, 37259731, 20024161, 989699430, -1, 317652052, 737909164, 639333911, 872438231, 735832066, -1, 312134210, 647837369, -1, 646475565, 227904653, -1, 98765466, -1, 791916756, -1, 810252320, 416760543, 206357032, -1, 89741903, -1, 683815032, 33891884, 917249756, 149314168, 252028505, 572860547, 349585039, -1, -1, -1, -1, -1, 850815233, -1, 966608918, 939125301, 502122453, -1, 411823409, 647187791, 98521483, -1, -1, 622988555, 52874318, 780958178, 156927858, -1, -1, 22706328, 173391273, 172535502, 138715757, -1, 198190139, -1, 642855158, -1, 541228788, -1, -1, 151308692, 473570063, -1, -1, 517970553, -1, 211156204, -1, 341048161, 784293114, 325033600, 277744644, 92812850, 518616732, -1, -1, 854062482, 405023714, -1, 94185693, -1, 351301532, 382037780, 529067431, 427519790, 350186810, 765300494, 170364317, 112873816, 688056885, 9569532, 597299441, 454878695, -1, 678848011, 889151921, -1, 281092802, 844091599, -1, 219473522, 551998450, 855336292, 749117509, 842645520, 303706411, 330447439, 346319999, 193158848, 311145539, 322369963, 593689758, 71024638, 315592484, -1, 348284007, 965730952, 909259436, -1, -1, -1, -1, -1, 97546343, -1, 640218683, -1, 746582784, -1, 583769939, -1, 658498339, -1, 275360904, -1, 41509960, 54697533, 206718748, -1, -1, 101658253, 391003201, 163517001, 587860266, 201113042, 366572467, -1, 271659603, -1, 42175489, 986544307, 128251106, 960974893, 992699065, 197042595, 26272303, 999405263, -1, 92041435, 850151249, 405582899, 473122146, 171721987, -1, -1, 618040285, 652168065, -1, -1, 709567934, 200863654, 747426813, -1, 86426920, 842117047, 833563910, -1, 521437798, 639019033, -1, 281586834, 58484053, 919473841, 700082485, -1, 94290407, 243560457, 806070483, -1, 155117581, 850466099, 587796450, 351368429, 285933249, 314143327, 77871409, 318755827, -1, 297372146, 238653487, 716757786, 475973056, 78026097, 284680097, 898291460, 679516371, 45373612, 675341050, 256927401, -1, 941074365, 164300126, 420201052, 398953999, -1, -1, 877413800, 470106810, 723718870, -1, -1, 64804611, 63183201, 732713237, 723109991, -1, -1, 974834086, 252503183, 831231391, 60170048, -1, 772988313, 956066043, 617983896, 200550436, -1, 524247071, 526995019, 839786797, -1, 905177045, -1, 670061765, 442494963, -1, 972156092, 176617803, 466877343, 438750526, -1, 451706080, -1, 623008130, 598039067, -1, -1, -1, 31158828, 951390093, 234550411, -1, 529725199, 596951245, 252928736, -1, 255891155, 11680465, 47127618, -1, -1, 820041726, 604874895, 526173377, -1, 586322851, 983456142, 971817770, 103379439, -1, 804583127, -1, 420506565, 591996958, 105788516, 504371974, 337208717, -1, 495314257, 264084894, -1, 28917763, -1, 207644733, 494090911, 857126264, 242398922, 266407295, -1, 242791832, -1, 591406765, 275870299, 490425978, 361968103, 738152436, -1, 494517974, 203346343, -1, 105964460, 665770587, 61566037, -1, 298213945, 165113045, 790015568, 516820830, 746038284, 542395454, 44961404, 811505958, 902337959, -1, 89822259, 227283094, 379859725, -1, 209213120, 192621271, 270028855, -1, -1, 448815442, 837002845, 561951080, 295404037, 375914073, 824058145, -1, -1, -1, -1, 52411996, 978636709, 86222082, 701238758, 255507676, 103239796, 860554157, 2771544, -1, -1, -1, 910608193, -1, 848195624, -1, -1, 643290377, -1, -1, 649077272, -1, -1, 415404085, -1, 220682237, -1, -1, 498502268, 463976341, 138418544, -1, 149342100, 72059756, 482884422, 451138608, -1, -1, 597982347, 614963457, 733103993, 719721910, 771708504, 316235130, 312780802, -1, 523094324, 737228492, -1, -1, 760279091, 265341207, 495841278, 352619699, 594965654, 228539448, -1, -1, 995429623, 153335291, 155018410, 724281064, 607601617, -1, 236237739, 391248682, 360317643, -1, 472479889, 244249831, 36136394, 613329804, 105260986, -1, -1, 127606332, -1, 329240445, 468398909, -1, 480091875, -1, 850102968, 391535033, 131967126, -1, 856007174, 748526425, -1, -1, 347702281, 371731475, 943825552, 371965351, 640935363, -1, 354866969, -1, -1, 727490446, 837694291, 926777328, 334731747, 330593028, 314584948, 752434459, 115655810, 152327301, -1, 930387860, -1, 318866054, 752929272, 470427829, 431753961, 452903449, 653901006, 958802932, -1, 572726116, 189870646, 69576041, 350254725, 462803436, 744326090, -1, 633011240, 78477150, 468720329, 860864297, -1, 519112608, -1, 366081838, 778252664, 840105609, 482200849, -1, 182903359, 520784514, 752889767, 177885619, 88106798, 63842523, 165015236, 397019097, 974240021, 448691382, 666862449, 506941535, -1, 80269167, 875546693, 762846807, 355320541, 220375784, 458559991, 190603466, -1, -1, 642101292, 821616498, -1, 647157693, 478646710, -1, -1, 665537562, 235669342, 345056198, 429221264, 12876228, 150894834, 272325664, 695576548, 306164318, -1, 56142012, -1, -1, 798759345, -1, 180952552, 22977064, 825935826, 721398090, 166380501, 303969701, 177020610, 902434055, 685442240, 493891376, 179765928, -1, 32053442, -1, 288512212, 482364446, 755111576, 801424550, 879660574, -1, 401557202, 315693705, -1, 962914036, 166416349, 108150928, 504281139, 958670992, 573535557, 202546452, 962929025, 742941101, -1, 58065961, -1, 60082791, -1, 963185598, 206585090, 218821796, 437041123, 833473108, 923762878, 13570711, 389202594, 447776746, -1, 155648365, 693153034, 488016859, 496505707, 330869415, 49396675, 207221579, 530165158, -1, -1, 828021228, -1, 124113897, 96768502, 981787087, -1, 49361690, 114158358, 770172489, 570533374, 624560069, 110968502, -1, 944605025, 273843398, 580520040, 359702685, -1, -1, 200752485, -1, 736900254, 588410294, 824298711, 780093968, 172630078, 407490386, 280905172, 43827600, 757437383, -1, 648188511, 351017556, 913151030, 711228248, 65215129, -1, 698037669, 718914053, 657936292, 282087103, 118485359, 414863027, 564578620, 740656932, -1, 803865330, -1, -1, 295961927, -1, -1, 807469997, 855386379, 502401567, 272738915, -1, 145528994, -1, 356329107, 578468828, 488429805, 590172171, 212274894, 954701035, -1, 677384282, -1, 777705145, 439724614, 698348716, 90148113, 996476301, 427082068, 993035790, 831059008, 494088389, -1, 65822571, -1, 555243622, 624794276, 145367027, 407678607, 241150919, 144077981, -1, -1, 425572278, 19453882, 516598294, -1, -1, 135049071, 213300175, -1, -1, -1, 236115112, 448215200, 146772511, 548676442, 874990143, 922537574, 710610586, 752568386, 294105757, 486948220, -1, -1, -1, 162753545, -1, 814067541, -1, 906408675, 503664565, 293241580, 745856381, 592427081, 695496469, -1, 747536653, 606426435, 219618278, 538120529, 500247161, 359735889, 447687376, 374764402, 22166069, -1, 853456509, -1, 156142896, 203198929, -1, 509417462, -1, 805288276, 197980650, -1, 338533347, 737696620, 586700020, 477145088, 386783382, 359533397, 595854225, -1, 469761690, -1, 767135182, 566953600, 396970178, 249339594, 206627418, 752026635, 772640458, 640568424, 192087992, 622056274, -1, 345991036, 153591322, 490619014, 928079091, 59011106, 634018558, 280765844, -1, 901441915, 536362780, -1, 739041843, 121330606, 722390064, 526916341, 908408472, 221438150, 656190421, 97049442, 447801914, -1, 386615808, -1, 188589708, 910893391, 420174889, 551345101, 681582343, 590312754, 622338113, -1, 24086487, 142243607, 396610536, 996147627, -1, 147375673, -1, -1, 788746073, 347539086, -1, 634718825, 290398516, 975036328, -1, 668009035, 596669879, 743621199, -1, -1, 751651387, -1, -1, 800727211, -1, -1, 506904773, 38091053, 930626038, -1, -1, 695207219, 980710999, -1, 452321797, 468012737, 739289879, 976210829, -1, -1, 590500505, 217329419, 666321826, -1, 906193475, -1, 711929758, -1, 758364670, -1, -1, 495925000, -1, 235933473, -1, 701074031, -1, 106054354, 740518287, 170214739, 356767031, 610456665, 534006980, 295871239, 101624201, 787892635, 259058513, 679314379, 626192959, 679031374, 467668239, 38156135, 824526702, -1, 187549098, 539111161, 44401795, -1, 223746552, 412848370, 352931602, 472776957, 308289208, 163540486, 899840012, 180571946, 29210100, 229516423, 474842520, 874053793, 108165642, 612806137, -1, 823887223, 116393736, 71012871, -1, -1, 155648340, 490113937, 946467854, 133894209, -1, 166521980, 831676921, 198513275, 77641355, 973089362, -1, 270900680, 307563339, 180712858, 618190680, 415405378, -1, 738218517, 809992093, 296627886, 980681997, 146217823, 497743852, 465366668, 118242823, 478579237, -1, 761883038, 190981367, 248151044, -1, 908764649, 560517777, -1, 816911990, -1, -1, 398241920, 611390715, 656090883, 490965143, 510001296, -1, 153306533, 248101125, 287451236, 732156995, 351042519, 997530575, 925591167, 326541318, -1, 164571669, -1, 265761252, 840445185, -1, 966160106, 372595059, 876183818, 625291539, 986531057, -1, -1, 807751868, 91514285, 693661017, 109823599, -1, 65531684, 803265417, -1, 450310906, 817222222, -1, -1, 693098197, 48321389, -1, 120090125, 964055055, -1, -1, 776527064, -1, 620390759, 5683759, -1, 782924104, 505229266, 210868461, 581388103, 773655585, -1, 226816456, -1, 994520706, 166225987, 441306478, 373221027, -1, -1, 620337469, 141805262, -1, 577126473, -1, -1, -1, -1, 161885159, -1, 413607961, 327693750, -1, 400740257, -1, 475293284, 478337836, 930206477, 167037064, -1, 652485440, 496476076, 873834875, 623044471, -1, 237746461, 798022025, 699238372, -1, 760764909, 441157689, 945620494, -1, 97100501, 871971356, -1, 417901789, 533801821, -1, -1, -1, 251975025, -1, -1, -1, 691381165, -1, -1, 101115929, -1, 103719239, -1, 777553920, 881776593, 704343609, 607874360, 386612050, 656046933, 914137613, 952358161, 466382307, 436356850, 4455551, 681885410, 157929684, 208990940, 539199441, 185969529, 952313568, 492979226, 704491822, 449430409, 844034800, -1, 394439547, -1, -1, 722883762, 770373117, 185287229, -1, 568029465, 722054758, 292032876, 447300376, -1, -1, -1, 170108047, 292255561, -1, 649597928, 787865103, 74181817, 250145478, 130837085, 374919676, -1, 967952599, 14398901, 223211747, 702589705, 564148310, 488704292, -1, 884231954, 633780435, 179536688, 299596304, 188278184, -1, 767655815, 753903811, 868554730, 749966344, -1, 58941378, 918054506, 625303124, -1, -1, -1, -1, 292948612, 603307735, -1, 367733350, 450709587, -1, 935722141, 154649721, 291491519, -1, 339101159, -1, 200400615, 472434024, 544484562, 215596403, 878567591, 777667951, -1, 438169006, 463752767, -1, -1, 764108357, 790774765, 30576915, -1, 693770563, 168742209, 154208823, -1, -1, 212310676, -1, 997615022, 365982674, 237871916, 872802761, 829887892, 887213050, -1, 410188261, -1, 983545864, -1, 394180163, 254409724, -1, 767326310, -1, -1, 241659564, -1, 212649934, 185347022, -1, 951022792, 758831228, 401560597, 984904395, -1, 604750310, 259085204, 747222125, 562940522, 229042543, 322888708, 186687668, 603570266, 776314773, 63833197, -1, 632339816, 190696042, 292913255, 974575327, -1, 377260599, 477948810, 435553055, 495562391, 265992381, 399290268, 982981124, 53149664, 815822795, 456095531, -1, 475890220, -1, 832944029, 327333043, 861736050, 459702103, -1, -1, -1, 190245570, 63240047, 46781210, 898744560, 646507401, -1, 513104900, -1, 758578667, -1, 58846012, -1, 300014288, 52913186, -1, 903117378, -1, 952402594, 437269932, 256110358, 153787430, -1, -1, 394715807, -1, 899117255, -1, 173859726, 263932999, -1, 646495949, -1, 545481066, 30562154, 985659948, -1, 782423273, 253628549, -1, -1, -1, 842436859, 468644339, 235554897, 298353950, 323860760, 742577806, -1, -1, 820316113, -1, 986467206, 567321849, 555568697, 229920476, 374788994, 757188699, -1, 661181530, -1, 397858696, 182265489, 517892855, 485082431, 752412230, 488420931, -1, 721665644, 704669081, 647865279, 440063096, -1, 566461481, 135542574, -1, 532628981, 636313672, -1, -1, 426649715, 154270867, 86865836, 130494470, 184238899, 12540049, 403850379, 224982059, 486916751, -1, -1, 481103834, 940236906, 477967719, 595917427, 935966367, 275154248, 758579839, 548199489, 236092100, 638561410, -1, 675078306, 800968824, 480916932, 579038230, 379900248, 45166206, 195369983, -1, -1, 464163727, 443143545, 56104932, 756309853, 796371128, 561281667, 541358461, 276489860, 287025628, 79068860, 992117507, -1, -1, -1, 981488710, 793192954, 886934931, 965503341, 115536410, 360778672, 428820365, -1, 155317129, 36002737, 813831955, 276100196, -1, 672455911, 714887252, 809328688, 987261291, -1, 58287306, -1, 557330897, 366087712, 737882538, -1, 739854769, -1, 476022400, 129632622, 806295096, 65772130, 227677326, -1, 72104368, 884481817, -1, 660403603, 13332756, 169874430, 628609247, 819933884, 351355958, 976804824, 1913094, 607358172, 812871088, -1, 387843811, 672369687, 837320734, 828771776, -1, 42951090, 58933708, 283757526, -1, 762554198, 122726717, 479395752, 526217382, 862674591, 754940283, 130742130, 961646494, -1, 255507369, 277881028, 593678935, -1, -1, 486015428, -1, -1, 208914831, -1, 325367878, -1, 222667776, -1, -1, 153738496, 548964755, 681690707, -1, 144307238, -1, 958167303, 310531488, 196044283, 561056304, 610133661, 755887946, -1, -1, 774856178, -1, 774607201, 581819181, 367061918, 348692575, 837831218, -1, 33773070, 323721396, -1, 684149058, -1, 853181871, 428898768, 947702057, -1, 624558003, -1, 1535644, 238025782, -1, 265771584, 862835582, -1, 634580367, 699185061, -1, 419662429, 73825465, 84062617, 278604322, 376846576, -1, 218161421, 607676390, -1, 334774873, 6339033, -1, 665113974, 809044833, -1, -1, 49308752, 122929259, -1, 612471022, 883634156, 954414557, 289633480, -1, -1, 936569915, 709945779, 93923692, -1, 468816954, -1, 75356083, 783018269, 685682932, 703007545, 363691427, 777958501, 525812043, -1, -1, 715338623, 148713968, -1, 144185800, 63449106, 520137892, 919027597, -1, 775441161, -1, 221565985, 783355232, 913521170, 694095141, 618200987, 773975890, 894071055, 132956675, 287939580, -1, 865857416, 263511446, -1, -1, -1, 534121102, 697836166, 912836495, 305674383, -1, 528041729, 681120394, -1, 28634415, -1, -1, 430391102, 479628112, -1, -1, -1, 572124339, 773081413, 722564536, -1, 914987376, -1, 80997081, 160137489, 514969977, 550198177, 646143367, 878914079, 994554335, 655838055, 681629032, -1, 668529541, 220516789, 733172429, -1, -1, -1, -1, 682332516, 791110173, 879841827, -1, -1, 10691657, -1, -1, 710636803, 472461526, 599614164, 532829665, 8311166, 531521974, -1, 844073214, 59796993, 888837042, 808633834, -1, 559593995, 430722680, 803606285, 856953044, 672249644, 44687768, 35095659, -1, 216069349, 670962623, 470018854, 158805542, 104163860, 238869948, -1, 568417394, 527164242, 546991992, -1, 513622069, -1, 444021218, 48505218, 793239844, 291726548, 338080338, 57985811, -1, 746610633, 266961402, 199119291, 724946227, -1, 522197873, 74469051, -1, -1, 674465290, 589509197, -1, 858970737, 711951465, 496604744, 181289750, -1, 874920014, 486089322, 792703343, -1, -1, 294893078, 577980774, 560062218, 513133258, -1, -1, 379684850, -1, 910171153, -1, 737370892, -1, -1, -1, -1, -1, 470643038, 84506774, 13011219, -1, -1, 600142171, 147036684, 12753352, 391383991, 44048541, 795129444, -1, -1, -1, 599064629, 339580694, 505375115, -1, 68731601, 365956130, 485863210, 303774944, 591897153, 718546461, 68330986, 105981635, -1, 183971865, 235551103, 886891586, 88295079, -1, -1, -1, 707541106, 640871203, 948241710, -1, -1, 340413943, -1, -1, -1, 674029863, 952416284, -1, 837653307, 286522358, 972261745, 703305498, -1, -1, 160691810, 246290273, -1, 857155725, 941337195, 691366296, 669421782, 247453143, -1, 313422793, -1, 375889103, -1, 2798973, 906654723, -1, 168368590, 326498909, 941099286, 276034475, 243570883, 870996442, 559903824, -1, 373179651, 243680176, 496539541, -1, 210665937, 376728879, 498216782, -1, 319604562, -1, 997838067, 830346509, 44315940, 649075121, 703374220, 549969973, 919085720, 204446840, 211705133, 792341855, -1, 154063621, -1, 874111707, 28039144, 246472064, 717609822, 611048892, 194094061, 173438407, 809461632, 489371841, 387541540, -1, -1, 799992132, 260582095, 953922091, 994916245, 424645892, 727502364, 527449358, -1, 874233453, -1, 682271167, 85605127, 190993404, -1, 172353022, -1, 770337060, 471459864, 38069803, 589613169, 714084069, 34740298, 910755113, 815646416, 91839249, -1, -1, -1, 449405880, -1, -1, 308180086, -1, 450067264, -1, -1, 420792201, 84302209, -1, 539239274, -1, -1, 553945402, -1, 485464766, 663203999, 137609313, 776026306, 855171537, -1, 563643869, 531025319, -1, 338105980, 205179891, 838099516, 394864636, 834083460, 155982755, -1, 587470289, -1, 514519126, -1, 852490651, 97624728, 843779720, -1, 713115680, 570305367, 858028543, -1, -1, -1, -1, 424224951, 496584527, 253123460, -1, -1, 563575609, 86601518, -1, 461156924, 967191899, 472081117, 568705699, 924601014, 245753825, 935908852, -1, 436663871, 735990371, 501051817, -1, -1, 86454011, 422091212, 309255967, 100031935, -1, 62677839, 804518866, 37959984, 213432755, 617843507, 431687482, -1, 644036257, -1, 851629957, 899166620, 72736091, -1, 421837262, 868178236, 199462642, 573779845, 872581812, 528380459, -1, -1, 462647153, -1, -1, -1, 623771879, -1, -1, -1, 229599034, -1, 968899305, 76951064, -1, 779204872, -1, -1, 749939997, 290886260, -1, 175642543, -1, -1, 589682297, 190893074, 823542323, 340828576, 412760666, 499233315, 660123032, -1, -1, 946746923, 130074718, 270288224, -1, 602145683, 295362261, -1, -1, -1, -1, 412543489, 974261101, -1, 166766299, 458011427, 376667040, 583302955, 706955043, -1, 629558119, 810002863, -1, -1, 324600596, -1, 347372014, -1, 997997281, -1, 317974467, 26163449, -1, 848684479, -1, -1, -1, 796861837, -1, 304691534, -1, 490390538, -1, 731663090, -1, -1, 799273413, 591425968, 800554730, 985722353, 961424364, -1, 882168187, 106504994, -1, -1, -1, 440385665, 268307185, 598990831, -1, 560895759, -1, 663647023, -1, -1, 311642351, -1, 316629714, -1, 814240041, -1, 29638574, 820311352, 639665918, 26404480, 923119953, -1, 293366200, 780020054, 264611792, -1, 712100138, 535461708, 200019553, 810617933, 567535943, -1, -1, 319800892, 685853248, -1, 500776720, -1, 783654425, -1, 126966665, 236775409, 884769009, -1, 342779528, -1, -1, -1, -1, 463009791, 991674934, 217809154, -1, 615628135, 16583979, 475248411, -1, -1, 559690361, 757545396, -1, 231100053, 144741463, -1, 494285560, -1, 979359612, -1, 998867973, 674311201, -1, -1, -1, 662503728, 155468931, 354715025, -1, -1, 872597998, 826463529, -1, 871431255, -1, 144227085, -1, -1, 879069248, 999247175, -1, -1, 122372697, 449278826, -1, 585620999, 297120258, 741033382, 143298049, 939087371, 596548658, 821629872, 768919482, 826778122, 737718425, -1, 78823113, 505935583, 510027492, -1, 243254737, 468310332, 693379341, 347972871, 456335505, 810919262, 673038661, 278931274, -1, 781960776, 250708932, 967708672, -1, 229941038, 275744101, 896451336, -1, 798105140, 940035531, 550349909, -1, 719414191, -1, 318557072, -1, 102367652, 458398004, 206511021, -1, -1, -1, 774226372, 748466739, 368223013, -1, 148305144, -1, 363370009, 559282901, 841951585, -1, -1, 829615104, 622682760, 175980703, -1, 682235666, -1, -1, -1, 980284746, 394297102, -1, 395337618, 57620151, 304731218, -1, 227478439, 866889006, -1, 862862837, 805617539, 263035328, -1, -1, 885076152, 346003755, -1, 514952567, 277484262, 601997756, 457892342, 973504415, 467146562, 686515082, -1, -1, 156546632, 807381381, 759382368, 195704441, -1, 440467894, -1, 608073404, -1, 304894437, 108510272, -1, 358726030, 833076463, -1, 882987203, 765077534, 354776889, 620262879, -1, 875603990, -1, 550513657, -1, 830259667, 612846332, 841734949, 811825437, 813904687, 770286040, -1, -1, -1, 530814535, 418233939, -1, 691945210, 363238562, 455609549, 177020348, 45333924, 600813183, -1, -1, 348684158, 536347455, -1, 770735485, 986542709, -1, -1, 816811462, 875814800, -1, -1, -1, 172985519, 399735865, 568965186, 861739447, 486387278, -1, 685450731, -1, -1, -1, 808173542, -1, 102345444, -1, -1, 804849257, -1, 7892673, -1, 961496367, 140449522, 868607664, 607123391, -1, 16379988, -1, 130719012, 215545640, 572200945, 116747582, 231381240, -1, 124513993, 585242428, 397440512, 865414538, 594356386, 416106797, 377275273, -1, 888313382, 363587578, 641161717, 933161889, -1, 27087175, 459897195, 823416003, -1, 471662296, 575159459, 779159563, -1, -1, 827271867, -1, 371639999, 873424421, 643087381, 302454377, 760634570, 16492743, 402953608, 891493081, 356026416, -1, 453141365, 476630475, -1, -1, 622492018, -1, -1, 455849829, 653237126, 509549928, 32641303, -1, 657444594, -1, -1, -1, -1, 283494171, -1, 78795838, -1, 416179669, 627233733, -1, 346369469, -1, 733760931, -1, -1, 712182462, -1, 422714352, -1, 689432109, 852612184, 342035665, 860393890, 407712470, 90842698, 345861482, 184276619, -1, 515520378, 71600085, 354617489, -1, 512739665, 36777188, -1, 571504246, 780403424, 503321039, 637592873, -1, 256017937, -1, -1, 630316474, 624383535, 104750150, 856171428, -1, 471969554, 70052771, 58154114, 656988587, -1, -1, 532798128, -1, 963209528, 982683958, 678595365, 858023627, 736134861, -1, -1, 370969660, 695659340, 224906985, -1, 469533264, 269782307, -1, 450130515, 912008329, 693704790, 112689952, 327824577, 840784462, 821847911, 207139550, 514049152, -1, -1, 83323157, 319356903, -1, 385277583, 147646207, -1, -1, 271077596, -1, 402982566, 183009350, 704703302, 591293457, 182998797, 886344174, 678066083, 532316723, -1, 393474800, -1, -1, 470961623, 521435654, 378791816, 366953615, 138762002, 930122332, 456063106, -1, 21269422, -1, 221028919, 648426638, -1, 220807425, 605379871, 290191115, 213084132, 476476551, 735510835, 11874466, 506518944, -1, 823024738, 430500143, 989110570, 30853619, 315148986, 957978629, 796125571, 993577893, 954509855, -1, -1, 230432777, 57464564, 756320896, 928609622, 565715661, 557690485, 525866584, 638340634, 712018848, 245505621, -1, -1, 974380354, -1, -1, -1, -1, -1, 139484848, 782423523, -1, 258316652, -1, -1, 494292640, 699515773, 25895262, 405884222, 197760236, 651843766, 11027687, 230379003, -1, 476942170, 619531406, 416615271, 829584853, -1, 981002264, 853356222, 963615564, 198077674, -1, 540886468, -1, 205306919, -1, 173862850, -1, 446236125, 130635859, -1, 268924729, 912326328, 92269506, 228211609, 858545119, -1, 485126931, -1, 33215829, 141146267, 541453306, 472990926, 337290126, 136110244, -1, 147195019, 478977032, -1, -1, 66591675, -1, -1, 800535464, 386195826, 499528969, 817754406, 865319674, 518562113, -1, 319338510, 723803265, 724461891, -1, 859936270, 466683441, 418468014, -1, 507310860, 797998933, -1, 164698938, -1, -1, 284109648, 681175074, -1, -1, -1, 9945837, 125246499, 732124581, -1, 692895746, 531944869, -1, 708108478, 986881816, 688102184, 896922431, 662460047, 132650182, 106167079, 990731947, 22530656, 984751337, 917512011, 106559534, 313520738, 262046239, 792544332, -1, 77891669, 163265248, 833864306, -1, -1, 608967529, 255452910, -1, -1, 340338102, -1, 804037320, -1, -1, 635595778, -1, 258482705, 689316922, 270250005, -1, 532414091, 424287260, -1, 860267578, 524809078, 84825464, 212047018, 145905063, -1, 168313843, 79887248, 912826467, 473899771, 969768972, -1, 60660424, -1, 107712512, -1, 374762474, 691065536, -1, 717914344, 250414178, 25596731, 961841703, -1, 907084354, 168723952, 464536067, 641042184, 36774743, 792385168, -1, -1, 604406033, 364925792, 836555254, 462310390, 785964114, 829184643, 202819501, 185998539, 511927124, 231429764, 950435580, 626495810, -1, -1, 51075519, 335731441, -1, 486108298, -1, -1, 532096448, 11255946, -1, 872571419, 736375251, 664901495, 664427049, 968790483, 398000061, 248807095, 882464086, 12997624, -1, -1, 923745621, 222048195, 48230232, 944288168, 135780255, 653396839, -1, -1, -1, 580508631, 957567597, -1, 132551383, -1, 51690194, -1, 625767252, 496605783, 511078199, -1, 446675656, 27201212, 776616970, 81534487, -1, 22382713, -1, -1, 386678651, 95232247, 152648521, 132430381, -1, -1, 620983528, 825191801, -1, 318625927, 732629407, 242754867, 805080527, 682661576, 438540542, -1, 366309439, 39040640, 184054551, -1, 587233327, -1, 177042232, 618405636, -1, 953983151, 865030738, -1, 528283830, 260935557, 864966431, -1, 532488881, -1, 399762083, 481746873, 152956384, -1, 224950699, 552442246, -1, 569010605, 564367048, 607880376, 605969658, 943382288, 679672816, 262024968, 576416464, 804316823, 996185630, 431505364, 515088154, 572107120, -1, 75643024, 946427736, 446365718, 212063734, 881882282, 477818830, -1, -1, -1, 760526450, 677845659, 139400395, 585483967, 147231010, 252896605, 612364688, 574653000, 136910141, 195382496, 852679095, 495358033, 230074407, 572859188, 830634781, 666795725, 735748690, 615317418, 382911987, 820546474, 85859870, 294297153, -1, 102865598, -1, 673211214, -1, 935937853, -1, 567165958, 995801842, 170253938, 477754105, 450264607, -1, 681709337, 18810121, 733137826, 119350860, 982925166, 961108283, -1, 593228335, -1, 843391683, -1, 330469622, 360676246, 409059513, 319599441, 302444752, 508180909, 202329183, -1, -1, 878967424, 177842569, 533444450, -1, -1, -1, 631084845, 28265819, -1, -1, 960448465, -1, 348313616, 772008783, 681500286, 464401350, 460141641, 745018016, 891470163, -1, 361252866, 535508930, -1, 183214025, 89634265, -1, 273161679, -1, -1, 588831490, 833364669, 926240177, 250099331, 782730980, 67003401, 35433522, 518674988, 149362180, 502744419, -1, 349460640, 307164298, 498850145, -1, 84323632, 873159999, 407427242, 306717484, -1, 516432242, 868940553, 724066406, 427123999, 732068991, -1, -1, 234417633, 215881522, -1, 584486393, -1, 845003578, -1, -1, 520988200, -1, 994574790, 589232286, 156811458, 12106346, 514686849, 904211819, -1, 19750239, 505215218, 197633907, -1, 859024650, 113396347, 520391024, 590712357, -1, 858941782, -1, 816562450, 479373806, 456098083, -1, 791753919, 135869990, -1, -1, -1, 256665852, 485750204, 662727941, -1, 901139861, 276623533, -1, -1, -1, 572680617, 766386150, 412613027, 119513160, 90018412, -1, 297887293, 962305079, 714614051, 379424868, 45363783, 637616470, -1, -1, 942142225, 217608820, -1, 80876023, -1, -1, 692087891, 381636984, -1, -1, 322289000, -1, 699994467, 447291740, 108998193, 335960654, 790039499, 432433308, -1, 146439844, 767712490, 895569538, 371888384, 883469571, -1, 879255338, 113287280, 183802671, -1, -1, 500825027, 185915766, -1, 5569664, 96628456, 82789303, -1, 496072850, 830418804, 924972507, -1, 487489599, 500161528, 149185912, -1, 879437175, 539448279, -1, -1, 329397876, -1, 551765401, 699059770, 291474383, 867830008, -1, -1, 494420225, 624156399, 825206148, -1, 674258953, 919243789, -1, 796824803, 34878465, 848618926, 628778209, 478920596, 747302668, 734305675, -1, 45977242, 534768891, -1, 341202041, 223279463, -1, 400177628, -1, -1, 851310911, 966271826, 320815191, -1, 582213522, -1, -1, 591263261, -1, 561626991, 537977536, 551892147, 17776923, 383629979, 416834650, -1, 310158686, 865465206, -1, 213839031, 418761645, -1, -1, 974892320, -1, 921313829, 655407582, 213047159, 710854812, 644951520, 324745124, 588892017, 897295813, 293903111, 404752363, 536385801, 491550037, 627610555, 431402895, 302485935, -1, -1, 703543267, 282260786, -1, 846215558, 481787995, 32227839, 42537063, -1, -1, 973105753, 329476712, 806863615, -1, 519862759, 418676259, 511647284, -1, 955577133, 656130427, -1, 643064206, 487286547, -1, 738421781, 534214705, 335759187, 939105355, 584970070, 966262490, 938917492, 854781178, 466852911, -1, 423714509, -1, 13395118, -1, 879954615, 248727427, 708950959, -1, 744280838, -1, 161062426, -1, 987738209, 16617279, -1, 737061349, 728701206, -1, 748173512, -1, 990825591, 250254088, 860097308, 876010051, 376959207, 863821256, 757722503, 835956757, 292270412, 466436201, 381295074, 146689560, 359329460, 21509251, -1, -1, -1, 351471756, -1, 464525787, 717532381, 826300942, 4607837, 286710184, -1, -1, -1, 225589271, 404209103, 419923582, 942714108, 364898980, 376884828, 63364362, 972884352, 264140897, -1, 142634912, 599041412, 433581341, -1, 801386769, 940268556, 677966518, 593324632, 902402423, 914394357, 66890548, 344583617, 179570369, -1, 396902596, 269069156, 52303112, 555573495, -1, -1, 745960825, -1, -1, -1, -1, 141046416, 278934546, 683759993, -1, 769299019, 299977631, -1, 128554969, 472362464, -1, 607831091, 211960164, -1, 714256609, 786868256, -1, 690637810, 78668803, 457734490, -1, 784593657, -1, -1, 112583699, 637321256, 83005238, 992461775, 574417979, -1, 471994985, 281482888, 33693138, 42151912, 933140150, 567067342, 943961386, -1, -1, 699629248, 968600612, -1, 36959847, 737181698, -1, 137943976, 627644721, 849202737, -1, 430076489, 891367475, 876862060, -1, 259041794, 806859526, 315132458, 108280334, -1, -1, 625147129, 860569640, -1, -1, 963921771, 292428619, 655943565, -1, 759428179, 275555213, -1, -1, 687030471, 42622245, 536488939, 803558076, -1, 20571440, 146065527, -1, 683279771, 572489437, 593050639, 730304793, 133177692, 795879376, 238015410, 548109956, -1, 218773159, -1, -1, 624733672, -1, 158489497, 259103943, -1, 2705118, -1, -1, 210095545, 125624270, -1, 430412008, 968011927, 977870797, -1, 729677381, 979230505, 538487453, -1, 408006899, 810804241, 328734981, 257667092, 610945846, 246203855, 52514241, 708482688, 767924118, -1, 327748499, -1, 999296543, -1, -1, 333820268, -1, -1, 206716555, 82883303, 974283329, -1, 699424474, 245467570, -1, 66543467, 82490589, 61402538, -1, 913551626, -1, 599293406, -1, 744291877, 501866401, 72995178, 224449605, 388665168, -1, 62741609, 137145743, -1, -1, 271539727, -1, 708419149, -1, 556564990, 911088591, 952467978, 822564818, -1, 968852365, -1, -1, -1, 87702254, 240672140, 88588550, 602310024, 960507989, 972450569, 946462702, 883229182, 173315927, 242516281, 817279191, 232803060, 234965824, 449649255, 63020217, -1, 958256242, 882096883, 554140555, 772530598, -1, 306019240, 233449943, -1, 580363075, -1, -1, 488012935, 733551659, 379437498, 417050677, 1041496, 816987803, -1, 644076640, 245281664, 875942918, 228592410, -1, 104582499, -1, -1, 706596722, 440369106, 332779876, -1, 10220329, 963933668, 923471019, 972986504, 772192570, 518356995, -1, 621340698, 514061136, -1, -1, -1, -1, -1, 766246113, 441265614, 990067652, 536316780, 3928375, 150846544, -1, 466540023, -1, -1, -1, -1, 129678885, -1, 133551318, -1, 412845156, -1, 833099803, -1, 177767659, -1, 106583271, 599648445, 735941824, -1, -1, 558853107, 771745800, -1, 63390045, -1, 35445530, 793861705, -1, 767926706, 925416610, 605528270, 208447745, -1, 915899189, 131992227, 834368820, 667549877, -1, 976951536, 472554078, -1, 162675766, 130643171, -1, 691201982, -1, 697932510, 528003324, -1, -1, 83757696, -1, -1, 655546311, 316750762, 949060364, -1, -1, 636440847, 327342810, 304651169, 158211376, 749144015, 594675718, 305925294, 192159027, 100653227, 867902280, -1, 374783116, 215915211, 652394021, 710421734, -1, -1, -1, -1, -1, 195818084, -1, 531858113, 496199383, 282401703, 509571924, 823377301, 803501344, 836173733, 980037823, 419532265, 545957029, -1, 111729645, 850344447, -1, 268758416, -1, 299726001, 543957357, 810115209, -1, 322512255, 488819249, -1, 409329896, -1, 915113336, 336991995, -1, 705363304, -1, -1, 433168073, 264139639, -1, -1, 714937316, 764250677, 278918113, -1, -1, 22655815, -1, 205528776, 435966763, 510945785, 794291839, -1, 285989307, 658897811, 681470708, 94105704, 660260301, -1, 884170160, -1, 972221420, -1, 607129667, 18177520, 438086484, -1, 703128945, 255872992, 920357189, 857030412, 294300130, 653482047, -1, -1, 522813851, 754657958, 212888812, -1, 79493915, 786988075, 391840382, 564560155, 757905019, 969935521, -1, 276098882, 932459521, 422329223, -1, 821716941, 511173924, -1, 651966393, 47538223, 671210456, 516033595, -1, 461115716, 614674530, 221057143, -1, 207782827, -1, 674278463, 925211065, 345105170, -1, 821141900, 325299624, -1, -1, 806144362, -1, -1, -1, 658150884, -1, -1, 121658564, 664006544, -1, 553846373, 368795872, 139139905, 139570743, 858993930, -1, -1, -1, -1, 21761937, -1, 288818575, 661772971, 96677450, 659159544, 955832925, -1, -1, 299127508, -1, 991122705, 21000806, -1, 956840826, -1, 868319665, 377547152, -1, 80192004, 251551100, -1, 94334710, 252021998, -1, 377526121, 662478123, -1, 453674552, 561266740, 390305703, 332215283, 615108930, 475600460, 766066555, 622006504, 528821267, 170955514, 727322112, 990093791, 642083842, -1, 97646954, -1, -1, 404200580, 11910164, 472563465, 912249323, 255973405, 350407585, -1, 181567812, 848251404, -1, -1, 20415482, -1, 692027862, 697467050, 579208790, -1, -1, -1, 543193161, 672226279, 331933725, 506107933, 634307704, 157326455, 657363964, -1, 228594176, 579070482, 205960109, 142321684, -1, 95287932, 221789927, 567720576, 204402826, 614666079, 129312745, 211921218, 486500807, 487719802, 34224018, 208956430, -1, 881290219, -1, 628773636, -1, 452710662, -1, -1, 653120636, -1, 797791292, 943079476, -1, 212835536, 122518982, 893684321, 854132710, 539839751, -1, 704748056, 840046276, -1, 1613854, -1, 229505244, 752495021, 185695090, 666360019, 299916410, 222080860, 758870663, 779533415, 393839713, 687671120, -1, -1, 11158714, 544219648, -1, 309905343, -1, 978147831, -1, 604670640, -1, 469734819, 260471598, 311437220, -1, 462534246, -1, -1, -1, -1, 409085403, 822370110, 7999499, -1, 970798716, 61868816, -1, -1, 581080674, -1, -1, -1, 1270238, -1, 443118194, 878031350, 136687001, 715469919, 792530243, 568426083, 974185928, 704953942, 853804979, 760695508, 486647546, -1, 394998749, 115451705, 975295862, 512622747, 693995850, 886485188, -1, -1, -1, -1, 552339635, 482456808, 268389762, 431833984, 897229145, -1, 660441568, 228968336, -1, 332321795, 740228347, 888129275, 706233944, -1, 549281041, 874251312, 659454320, -1, -1, -1, 952910683, 534209653, 849335944, 919173886, -1, 125512435, 539182470, 748092562, 206098399, 883477111, 621284741, 482715103, 153337156, 733669396, 191458437, 606581313, 663864159, -1, 84162283, 282174087, -1, 367495303, -1, 702657268, 436338190, 485467308, 992566292, 857060702, -1, 576098096, 806216397, 834759645, -1, 120272529, 549344687, 510585738, 799353494, 104772625, -1, 922984409, -1, -1, 880242440, -1, 160197213, 825696817, 449274965, 104198600, 402377536, 761757310, 322850667, 581967188, 304675007, 356048548, 391928610, 953573804, -1, 338569183, 373538891, 703447254, 769856515, 578440408, 816866454, 792338238, -1, 681110459, 818762127, 3285679, 395562882, 208037663, 604642740, 623014793, 787715667, 530192401, 868442893, 985611005, 816338820, 552338427, 908704719, 999117045, -1, -1, -1, 902368443, 350825314, -1, -1, -1, 159691460, 228979415, 702225204, -1, 949515077, 131823574, -1, -1, 109179787, 937648850, -1, 965410258, 357950117, 712195591, 683830508, -1, 253800873, 357713700, 445241494, 458637139, 888594454, -1, 701579167, 549177107, 628758103, 660904763, 586297997, 341694115, -1, 671003243, 41499222, 537760360, 84594192, 789826266, 688754017, 953286349, 566619960, 369187299, 5703495, 880212455, -1, -1, 126779224, -1, 738386789, 432454205, 563620273, 749810966, -1, 834555026, 601381884, -1, 892902874, -1, 1009642, 811471580, 69963096, 413076125, -1, 291636315, 136874731, 275552402, 706050933, 158709535, 181948118, 59835173, 422553044, 559969209, 330773652, -1, 541361886, 414196396, -1, 477051181, -1, 525403203, 569150516, -1, 552659872, 992540028, -1, 648072945, 270656027, 706804213, 301831595, 958283602, 382278632, 75450742, -1, 749099555, 894647832, 909520358, 593277164, -1, 406057926, 657938934, -1, 799656960, -1, 253063163, 816904799, 805959158, 882989810, 118905835, 569562742, 425849826, 112317007, 533657180, 817775010, 687172024, 139579226, 281312243, 550379478, 122598984, 641054509, 269364976, -1, 995167654, 774249964, 146504639, 128200272, 617958282, 429351598, -1, -1, 320588212, 192338204, 350588635, 673137306, -1, 237368710, 942292719, 40200043, 124655173, 305686786, -1, 781651786, -1, 746787783, -1, 583523275, 705953322, 964088979, -1, 737015589, 530491785, -1, 285267786, -1, 583063308, 693065870, 412496568, -1, -1, -1, 71856194, 139068015, 621044883, 472627570, -1, 606201471, 479586942, 313665364, -1, 574315728, 542784489, 333817706, 115247093, -1, -1, 339158002, 875521117, 959438632, -1, -1, 615329819, 989387800, 298722309, -1, 726806004, 866382764, -1, 290330120, 868732864, 786870573, 320797847, 779590852, -1, 198632570, 363401582, 626054813, 459302763, 323818856, -1, 447093076, 964505429, -1, -1, -1, 422738660, 266288512, 108579592, 927208982, -1, 296159111, -1, 169530846, -1, 323181989, -1, 967301760, 348360460, 805236993, 805514187, 737738112, 879560856, -1, 676731409, 909792519, 922531965, 346255292, 306617771, 643924643, -1, 377669277, 890513213, -1, 537177512, 118072596, 877449657, 592391028, -1, 741506392, -1, -1, -1, -1, 99471422, -1, 918791384, 314674317, 571612119, 487387581, -1, -1, 573455840, -1, 375564090, 374985802, 413460520, -1, 756983033, -1, 193860148, 179138908, 962930247, 883290326, 560416588, 305490213, 238934279, 736717342, 829363870, 82558865, 874736500, -1, -1, 453375339, -1, 90072041, -1, 129514570, 286085345, -1, 623203080, 199238146, 293836462, 750092022, 160130725, 269247614, -1, -1, 969316020, -1, -1, 477408861, 602004132, 674405785, 800345955, 206986050, 917432157, 528725888, -1, -1, 581587807, -1, 960836143, 991420089, 80866472, -1, 525275036, 493856413, 942264623, 202000383, -1, 194662826, 879873024, 326998197, -1, -1, -1, 275207218, 520952461, 999745531, -1, 352425143, -1, -1, 197384890, -1, 877824378, 3962710, 23116636, -1, 413682201, 523299088, -1, -1, -1, -1, -1, 448565435, 121306496, -1, 937639422, 104902575, 547399409, -1, 990673173, -1, 308566053, 209731200, 551164692, 584729714, 465750868, 201143246, 713924080, 996439837, -1, 568783090, 602590379, -1, 392246094, 717249895, 356551320, 915878276, 273773801, -1, -1, 675896030, -1, 614037336, 739688445, -1, 277253133, 918105168, 721747355, -1, 882304419, 838711108, 477599713, 593457825, 776488045, 585690376, 350983796, 226033221, 51759068, -1, -1, -1, 30846041, 199322559, -1, 989399174, 923073678, 38858515, 35989510, 722009433, -1, -1, -1, -1, 661077463, 408697864, 108517870, -1, 794307802, 133250701, 473174409, -1, 542262484, 166122463, 715741843, 441778726, 712609757, 926896093, 36106826, 305246993, 690546415, 468017003, 988159301, -1, 934429814, -1, 272376736, 993706010, -1, 714454248, 572034594, -1, -1, 754561418, 75663140, 153179970, 855719920, 996401193, 456885167, 813776544, 804978799, 303903023, 723950578, -1, 300367429, 782113710, 266776653, 752093988, -1, 135343833, 751660800, 678646579, -1, 628181210, 582134530, 466943728, 271660868, 936678064, -1, -1, 534592011, 741879176, 708496001, -1, 246389670, 508366009, 208081890, -1, 637200315, 570991283, -1, -1, -1, -1, 608466503, 443354451, -1, -1, -1, 652454879, 213081041, 940072210, -1, 127384838, 98864493, 93593489, 55840242, -1, 69728511, 145849202, 195181771, 151821205, 165926959, 560424474, 676838826, 228398557, 923785021, 642006746, -1, -1, 322842249, 123339805, 206007661, -1, 877224081, 543458396, -1, 211643623, 609827433, 42947777, 589048972, 364637826, 119673377, 51788834, -1, 366695044, 346121992, 617146501, 16611604, 596621663, -1, 509727044, 854738131, 137101310, 862654648, 686114169, 917290634, 794804358, 986223223, 799828624, -1, 668415638, -1, 587402950, 95065566, 582190354, 845110588, -1, 724607986, -1, 123962848, 858716585, 413951970, 972555349, 958580481, 599580027, -1, -1, 721227606, 856786853, 401286775, 724943817, 894388441, 216498608, -1, 652846491, -1, 501133984, 720989369, 981461415, 475037993, 680212099, -1, 747818394, 16410401, 237764121, 170100639, 64682285, 506931925, -1, 628414845, -1, -1, 798331664, -1, 575527815, -1, 58196113, 528140661, 25550359, 588176180, -1, 115908426, 446174880, 545250807, -1, 685837765, 742564748, 320124615, 706608938, 731744635, -1, -1, 111353511, 951062758, 817426242, 989886218, -1, 151314787, 89249168, 927721986, 278326013, 741221293, 833731111, 136178347, 568192435, 31502141, 1632494, -1, -1, 748942180, 778610462, 959231434, 288060480, 486342305, 300667083, -1, -1, -1, -1, -1, -1, 7801654, 179245638, -1, 447361828, 476094004, 949805982, 904922597, 960960890, 439505121, 453714654, -1, 240657941, -1, 263912547, 607621981, -1, 138798051, 127931522, 718538386, 51437882, -1, 355719794, 118356287, 480157081, 110606285, 162728244, 928201416, -1, 500785466, -1, 894656375, -1, 255551945, 148186901, 203998650, -1, -1, 257998972, -1, 999519311, -1, 263563110, 910070108, -1, 53270077, 201522494, 752881232, 470735976, 79743275, 454236775, 591921682, 224199829, 707820136, 53572776, -1, 385818810, 189121311, 78631880, 448596807, 586009122, -1, -1, 551226584, 687298924, 110423210, -1, 112016112, -1, 537482300, 593567173, -1, 195589506, -1, -1, 861040038, 331816886, 122391287, 657281662, -1, -1, 700678909, 565874968, 78699557, 342566272, -1, 641190865, 575684448, -1, 985402103, 308394556, 635785222, 647871750, 719396324, -1, 399314444, 985015156, 161102268, 388798461, 789615956, 953719500, 96985014, 469839124, 267787354, 800476055, -1, -1, 691472947, 862175694, 156579457, 879389805, 320391857, 74423873, 593603654, -1, 609905031, 781976990, 316112556, 809889629, 805214348, 561907176, 944966548, 229511040, 467959172, 797141571, 782006012, -1, 877525700, -1, 13855434, 542858878, 966482079, 387988141, -1, 964637716, 414193758, 905378979, 511488602, 285168305, 971945880, 324930222, -1, -1, 596383227, 432272740, 615508030, 237927199, 988016389, -1, -1, 370977642, -1, 623893734, -1, 260951494, 30010199, 167715218, -1, 439546111, 226249875, 995975817, 810814181, 970727318, 822165032, -1, -1, -1, 781591636, -1, 545290217, 173444019, -1, 618132503, -1, -1, -1, -1, -1, 185197836, 600899588, -1, -1, 619472706, 883560382, 628449827, 385393275, 489840177, -1, 549760741, 298173193, 226908661, 872944383, -1, 412221372, 296738881, 54502604, 388773570, -1, 933633117, 304110323, 714312565, 54653293, 197601598, 391279984, 551389692, 913533881, 802716605, -1, 621178836, 184671013, 198536661, -1, 803461030, -1, 549728269, 942417424, 235337680, 452515351, 830322102, 474543927, 360075678, 257425098, -1, 576499265, -1, 875936835, 646408571, -1, -1, 436912987, 526321606, 556460252, 269111259, 408643359, -1, 590433039, 648569912, 709642901, 315424617, 742057917, 615115106, -1, 959250872, -1, 248884615, 79631893, -1, -1, 827989983, 807346285, -1, -1, 713848539, -1, 401147118, -1, 707199095, 438461388, -1, 87954382, -1, 269927551, 263470512, -1, 599342486, 902085490, -1, 546723544, 103496532, -1, 519352318, -1, -1, -1, -1, 236186091, 195137751, 83198493, -1, 560874304, -1, 600739742, 779065274, 139402582, 386125533, -1, -1, -1, 242126373, -1, 750964555, 396911520, -1, 974027100, -1, -1, -1, -1, -1, -1, -1, 393549591, 502307124, -1, -1, 966819566, 24555698, 888933401, 607193568, 670382397, -1, 529611380, -1, 408423407, -1, 342706700, 685391737, 441840086, 620333283, 758930220, 751934013, 803683648, 571186076, -1, 415443299, 219049227, 975178702, 371045603, 335823377, 142110723, 339043655, 654234342, 362370344, -1, 771940289, 608602431, 950162795, 221513876, 505663372, 288828749, -1, 988889924, -1, 762173819, -1, 507565583, 707347640, 929948094, -1, 949360038, 935471876, 958962444, 249349927, 436865441, -1, -1, 167523786, 935425558, 917819592, 725887359, 797362381, 419133641, 417979222, 191848666, 627994229, 669737718, 145354547, 730245319, -1, 513743494, 611047719, 463276171, -1, 577381924, 322908747, 106751432, 998635189, -1, 129606500, 517529144, 925717401, 798356096, 363360237, 273950633, -1, 823144594, -1, 973990360, 406387013, -1, 566355857, 897788725, 453881915, -1, 484690671, 199677012, 654491206, 584419750, 260144351, -1, 336172911, 431110945, 7345299, 166865817, 216039772, 236435739, 501491270, 456367284, -1, 345035493, 191904627, 773422791, 638779039, -1, 847957882, -1, 204030876, 976401909, 788238495, 510804569, 606242594, 781742034, 983188446, 725550567, 743259259, 251065419, -1, 87157646, -1, 801151479, 308944555, -1, -1, 436154268, 913040130, 831941343, -1, -1, 27987024, 491479350, 184569556, -1, 760119787, -1, 385887533, 145511201, 452062065, 892507489, -1, 778159862, 971027581, -1, 64336905, 682526642, 117919328, -1, -1, 94453947, -1, 310375340, -1, 543358537, 809758906, -1, 92427611, 698570402, 729930400, 792465549, -1, 612579293, 259744959, -1, 584097519, 66856850, 661178884, -1, 134020627, -1, 61342320, 633881511, 780526334, 145769573, 392872444, -1, -1, -1, 672880149, 956464856, -1, -1, 896467877, 132936164, 914261554, 249769487, -1, 939270999, 408172751, 862117078, 584877917, 600867130, 962969148, 896652395, -1, 17291336, 351657956, 742705324, -1, -1, 930477887, 585937837, 899328871, 239399338, -1, 611926047, -1, 459147555, -1, -1, 104442315, 678959453, 564622238, 99376353, 560207568, 986358698, 174449347, -1, 330625812, -1, 391283919, -1, 632283548, 557139758, 838975895, 956605493, -1, -1, 309518940, -1, 212518189, 551298067, -1, 744954744, -1, 545333949, -1, -1, 931767592, -1, 616652553, 68199292, 53291714, -1, -1, 252196818, 808808324, 787282571, 581228946, 424432980, -1, 518985543, -1, 443849817, -1, 686513230, -1, 24526722, -1, 23184956, 875515849, 470896644, 630378438, -1, 367289337, 232286480, -1, -1, 387957790, 809220882, -1, -1, 949847506, 190607521, 469937398, -1, 493265583, -1, 8201714, 99748979, 384096526, 669711439, 450271782, 570925593, 969346579, 249541803, 823326568, -1, 967038310, -1, 810223519, 326034160, -1, 210455480, -1, 850677354, 932949901, 376789545, -1, 230056895, 122441496, -1, 340702205, -1, 663076579, 380403591, 585948453, 581706049, 606322768, -1, 847770946, 586067444, -1, 457101188, 413056094, -1, 411387422, -1, 484272687, 72550434, 531000140, 93078079, 516684121, 828220242, 95820231, 513106695, 6464951, 937704511, 293202022, 613865124, 102951870, 869751720, -1, 908967798, 917633836, -1, 646181268, -1, 122232256, 271709306, 493530691, 661745549, 171807996, 307419857, 104549801, -1, -1, -1, 578094422, 326175230, 373355453, 464823133, 835051302, -1, 512655285, 938373960, -1, 363011074, 13345796, 148195694, 982295626, 304358623, 248694630, 859605030, 678722770, -1, -1, 884451508, 79816457, -1, 816432457, 323658665, -1, 85391256, -1, 203062791, 548915689, 371477286, 919002246, 376559948, 409278647, 352907241, 461702155, 894991953, 990983622, -1, -1, 424611160, -1, -1, 164257825, 614100891, 726935596, -1, 143288617, 165400596, 754712763, 609367661, 617075981, -1, 227332215, -1, 976726449, -1, 516613343, 502247393, 678377096, 195650603, 621089712, 6884288, -1, 535664535, 816609215, 964485906, 398999320, 378279838, 585277622, 120710439, 443925170, 881897479, 839308617, 620316083, 334652508, -1, 814658202, 219325930, 118928204, 451849580, 609159026, 361447664, 442213783, 576017335, -1, 139312660, 67516295, 787341545, -1, 137659114, 870663496, -1, -1, -1, 452474693, 856003571, 925587847, -1, 606791729, 603203325, 746999061, -1, 320456431, -1, -1, -1, -1, 742910611, 96336698, -1, 932469018, 711106749, 847134724, 791782926, 791949433, 615109693, 470481277, -1, -1, 545080292, 128321712, 911155974, 683595173, -1, -1, -1, 426514760, 190646130, 258343724, 898116722, 408682159, 23779306, 820713214, 49990232, 872957799, -1, 689619697, 993710905, 442399388, 591646589, 993424900, 944631025, -1, -1, 248917546, 167065653, 594167838, 306196317, 172582229, 301853245, -1, 453819443, 632499914, 409391255, 776506191, 190055848, 378558716, -1, 120809269, -1, -1, -1, 227791321, 295621010, 287281814, 562558722, 174685847, -1, -1, 843959386, 558531389, 277270402, -1, 459318661, -1, 470511127, -1, -1, 815920983, 209360382, 605168533, 888354339, -1, 239110070, 890838971, -1, -1, 131602546, 376906377, 456563956, -1, 898600678, 354523403, -1, 169364067, -1, 208164692, 299589926, -1, 650814659, 207194620, 118901698, 104801960, 172106903, -1, -1, 17062523, 302712158, 334487731, 63311945, 565957052, 32139982, 963448750, 84917457, 885526954, 985812211, 619084642, 333252701, -1, 104275783, -1, -1, -1, 672574468, -1, 965774642, 199917543, -1, 852918101, 282837116, -1, -1, 248208768, 701745698, -1, 267175086, -1, 101355588, 548588604, 91415528, 420044773, 685932141, 532496718, -1, 642760342, 962430275, 669867386, -1, 634087410, 728149934, 500820521, 897936023, 893300990, 437571770, 593573227, 120942293, 609567766, -1, -1, -1, -1, 211112301, 87454642, -1, 70376118, 384447763, 323092367, -1, -1, 766650377, -1, -1, 62147088, -1, 87809371, 154629767, 333435281, 772132399, -1, 414151612, -1, 774331235, 50909433, -1, 720061847, 566027242, 271245725, 131884187, 876092483, 445571940, 455172372, -1, 277313808, 507504427, -1, 650893502, 760093999, -1, 238151604, 473066437, -1, 725887588, -1, 166496748, 858634879, 349573286, 170950350, -1, -1, -1, -1, -1, 142095549, 621128526, 12564647, 485749427, -1, -1, 862615952, 592156375, -1, 485140835, 422790239, 475235582, 727010391, 98871027, 428857092, 560494274, -1, -1, 613279864, 76201073, 582879670, 146010539, -1, 601885784, 921631950, 338160610, 114184214, -1, 588139070, 902252708, -1, -1, 890942199, 131373202, 646086171, 516456892, -1, 762955082, -1, 339950537, 353361007, 66786381, 653807014, 193022372, -1, 191053645, -1, 746240665, -1, 905024603, 471546097, 154851845, 295199819, -1, 871285846, -1, 879451435, 155006047, 646724287, 892889692, -1, 288569692, 246785401, 398521504, 65115082, -1, 347026835, 43281007, 984807666, 471771636, -1, 240827781, 72106930, 41199440, 427420228, 606701717, 8603497, -1, 226456325, 441715268, 357554345, -1, 141426273, 193313684, 23107481, 355812402, 943194245, 277423415, 838121083, 553908678, 830080413, 85629946, 271479834, 11325829, 100388119, 359636014, -1, -1, -1, 819530710, 547722796, 42157066, 732058343, 404325824, 260852586, -1, -1, 897927597, 449533254, 905575348, -1, 831279869, 168892452, 97745446, -1, 593156943, -1, 623415021, 211814050, -1, -1, 654777596, 481758790, 730974124, 662702213, -1, 310862694, -1, 886900384, -1, 18227283, 825267367, 918408701, 250143887, 81682706, 933342760, 654629316, 339948447, -1, 278305493, 292895854, -1, 909342048, 103772753, -1, 386301258, 8775298, -1, -1, 437934721, 668641071, -1, 816998829, 184926796, 221531357, -1, 284898980, 534236342, 851256572, 372475205, -1, 738054516, 178438764, 681123007, 346944447, -1, 68932155, 609981105, 606515293, 616359578, -1, 666351496, 16909533, -1, 171415128, 706324669, -1, -1, 796152504, 955446024, -1, 994593700, -1, 778961304, 729826266, 223310394, -1, 738289114, 494359446, 146448764, -1, 446735151, 232549839, 798562406, 222910121, 523433259, 815750618, 935098087, 8686536, 365559941, 44990071, 592573838, -1, 786863589, 252438814, -1, -1, 924593130, 23802486, -1, -1, -1, 442080207, 699442562, 874797152, 977110248, 135940635, 17011122, -1, 662728086, -1, 778346660, 326592035, 459826824, 527073775, 406967719, 47990735, 402092513, -1, 62290633, 128265557, -1, -1, 753791297, 988499508, 44510918, 733450210, 573350631, -1, 314271534, 645818912, 724004558, -1, -1, -1, 744729872, 158469759, 5765081, 573408894, -1, -1, -1, 192909566, 593535323, -1, 950266968, -1, -1, 745786546, 985109073, -1, 7786532, 945958713, 556664510, 630649784, -1, 358049760, 455455513, 155066946, 325451741, -1, 761472089, 749641919, -1, 857130777, -1, 142229210, 568982166, -1, 883640620, 178397185, -1, 142419442, 601379401, 934520272, -1, 928523912, 669402208, 662365484, -1, -1, 75461135, 16998488, 350809925, 392836211, -1, -1, 509621137, 265631424, -1, 469234429, -1, -1, 82851876, 555026097, 563350064, 382193125, 122799911, 935607742, 86739896, 418121644, 937257919, -1, -1, -1, 473611802, 406994074, 9060414, 825629899, 159628679, 671788700, 588404749, 424588916, 686519080, -1, 270111564, 511350105, 592043669, 861204332, 831718750, -1, 467599157, -1, -1, 50719766, 918872173, 414670379, 595284294, 482713224, 99175047, -1, -1, 304347857, 874968415, 953553668, 454196652, 780861672, 967190515, -1, 318342294, 257077290, -1, 798481143, 790583584, 394339625, 803898962, 369246454, 550087254, -1, 575134400, 678654670, 582106688, -1, -1, 365136235, 331478783, 37916654, -1, -1, 441125646, -1, 399256410, 319847604, 913886819, 986460998, 193066196, -1, 702171718, 727447859, -1, -1, 101780814, 392286290, 976861231, 262638044, -1, 233887950, 783982544, -1, 923743874, 723285237, 792110485, 395226992, 372984834, 314308813, 781647291, -1, 238546222, 598846717, 718501231, 580277205, 241073896, 863994878, -1, 708577890, -1, 546678684, -1, 976016205, 291884534, 832913094, 591628411, 180313161, 312313999, 783014195, 150317416, -1, 872094695, -1, 330398502, 63362989, 938890513, 396366778, 271654501, 757806077, 63846123, -1, 408674698, 888441456, 71127898, 762454941, 358678761, 86123677, 708428060, 353201814, 185935360, -1, -1, 544570851, -1, 975502109, 120354932, -1, -1, 842429389, 443626646, 722247976, -1, 377271364, 410025110, 623307516, 187377214, 20675250, 913257540, 536646569, 109464704, 626338237, 701322471, -1, 564206071, 722480288, 847703875, 392691409, 776912201, 20110838, 341392031, 111424668, 72510148, 867875035, -1, 393960826, 552809081, 729910625, 625874914, -1, 564656087, 839816958, 829017153, -1, 803534481, 201099639, -1, -1, 90970491, -1, -1, 498844707, 198890983, -1, 42046514, 290027186, 387345843, 133832417, 629104604, 308952140, 604631495, 17979299, 269399311, 952399998, 143320279, 662608583, 352626154, 649144785, 985177566, 554799353, 77289546, 389037647, -1, -1, 735101594, 261276039, 102293244, 928588535, 49503010, 420594316, 715579432, -1, 945074875, 100176360, 441599275, 893074643, 569394067, 661982843, 286599420, 490838546, 122960181, 306042896, 102459972, 972676528, 941388427, 475442068, -1, 973874552, 421899851, 366902534, -1, -1, 317929092, 761841876, 192602965, -1, 485294420, -1, 648302685, 614090966, 874565050, 183748178, 211218878, 784429595, 342152599, -1, -1, 422590564, -1, 857908278, -1, 132084620, -1, 457879179, 233797527, 819328656, 189695659, 161267218, 711369594, 910169747, -1, 233593577, 105189742, 138548680, 151937720, -1, 811422041, 958470396, 960132880, 533110159, 407149058, 331740417, 37941733, -1, 392464032, 465319164, -1, 155806843, 383289992, -1, 887163056, 246785671, 663528794, 662955467, -1, 904899974, 96907314, 539361062, 666715277, 943774046, -1, 207547189, -1, 26754884, -1, -1, 719192022, -1, 821254818, 200800787, -1, -1, 333974323, 286829049, -1, 351912159, 795948223, -1, 612957903, -1, 63975540, 297619855, 747528809, -1, 388686031, 49950706, -1, 625992904, 383142542, 14807194, 415216400, -1, -1, 510812953, 429519294, 860767633, -1, 256699484, 385030785, 634344562, 61678256, -1, 790112350, 839355956, -1, 104675634, 752629319, 556657185, -1, 110329095, 152553616, 265492945, -1, 261606232, 207613638, 552717235, 885693208, 343991019, 439752858, 375835822, 259638267, 434388310, 984039562, 702734298, 358805141, 350966343, -1, -1, 523457903, 901607910, -1, 316922075, 641571349, -1, 425876414, 788065383, 317942160, -1, 994807683, 242417287, 525288656, -1, 415217992, 440047620, 448746167, -1, 877437704, 590590360, 582999058, 440809559, 251146514, 831212065, 223732278, -1, 507005596, 957037303, 582722099, 125820860, 83531518, 582020996, -1, 940859043, 661809266, 872025631, 492466310, 562419246, 9527792, 566189826, 77034407, -1, 978489635, 172192771, -1, 570860966, 25466539, -1, -1, 78889242, 296119019, 355329104, 389019262, -1, -1, -1, -1, 879753989, -1, 645561182, 79234633, 227602183, -1, 759477114, -1, -1, 627617596, 162572926, 40748001, 955577649, 597726882, 237298485, -1, -1, -1, 890636693, 807674077, 498640439, 683409036, 683373716, 183415886, 100187039, 237337598, -1, -1, 266421773, 729818667, -1, 988701570, 512143274, 191889073, -1, -1, 967111997, 647582447, 642780008, -1, -1, -1, 92616800, -1, 416701643, 225149227, 232498122, 111674620, 877750448, 461811879, -1, 759037408, 583684473, 407320374, 590823105, -1, 669272727, -1, 570247912, 990866565, -1, 260405545, 994182444, -1, 392613189, -1, -1, 417618698, -1, 10231289, 550582670, -1, -1, -1, 853218836, 846753190, -1, 752308583, 315314498, 225482058, 884442968, -1, 341670180, 240324413, -1, -1, 96058256, 829216387, 59042277, 360468168, 158273267, -1, 670449354, 606082934, -1, 250446807, 361502863, -1, 443556175, -1, 315545586, 599724766, 685805279, 809199340, 927487725, 347926301, 513884450, -1, 226984385, 157151698, 114124253, -1, -1, -1, -1, 484813865, 510213540, -1, 303147345, -1, 957398760, 909014898, 844402777, 841086461, -1, 215699375, 907187546, -1, 894711921, 81493636, 439031816, -1, -1, 377796136, -1, 526192058, 511805496, -1, -1, 221341715, 237261171, 358654352, -1, -1, -1, 726577600, 824335439, 990688548, 600429303, -1, 711492203, 24981901, -1, -1, 437231889, 30132120, 506698887, 439893060, -1, 10185732, 746874127, 859964646, -1, 595069382, 907484404, 768703181, 197404581, 460055712, 759582525, 20966058, 927917484, 752674277, 338550683, 329983527, 384507706, 807420881, -1, -1, -1, 382697601, 430243567, 70648744, 132543677, 875161, 324939204, 575565325, -1, 581844594, 55710925, -1, 82278722, 497440470, 700544874, 654096676, -1, 329504371, 657510327, 517150368, 210950805, 717446216, -1, 447966091, 964806808, -1, 488428577, 806164775, 26004108, -1, 76526608, -1, 249141461, -1, -1, -1, 95370778, -1, 829857515, -1, 183407585, -1, -1, -1, 578914857, 130330619, -1, 247421034, 402838739, 161757413, 415000598, 272106737, 55790268, 250029138, 959094505, -1, 634137876, 784622168, 290010803, 950531606, 29310965, 40583365, -1, 950222028, -1, -1, 952182629, -1, 839394449, 183986341, 424552948, -1, 328625616, 291491710, 263260531, 304226011, -1, -1, -1, 203483105, 916234274, -1, -1, -1, 488496576, -1, 861414040, 481353747, -1, -1, 855211458, 472172400, 890055262, 813826947, 428234362, -1, 437686046, 894868833, -1, -1, 688781800, 93394378, 339020498, 904842418, 196488483, 713188860, 834510671, 325660924, 355047482, 930211796, 735455282, 141369620, 516204099, -1, 774104455, -1, 426001032, 955801530, 287118614, -1, 55841998, 948254425, 383664541, 881198322, -1, 709870654, 491834931, 373369691, 44879762, 272915906, -1, -1, -1, -1, 369318554, -1, 181587953, -1, 314934552, 803527200, 934747248, 279629345, 211224708, -1, 661902785, 500326698, -1, 569818142, -1, -1, -1, 878824557, 921429527, -1, 467037541, 293237891, 670656291, -1, 416278266, -1, -1, -1, -1, 178668408, 619771116, 384129476, 164602837, 289513676, -1, 372531969, -1, 363059306, 272251387, 392914426, 506425649, 279254545, 452328920, 406674120, 172475456, -1, 677284634, -1, -1, -1, 90264480, 849332616, -1, 551734451, 168073732, -1, -1, -1, -1, 39842570, -1, 990178296, 916515565, -1, 562319046, -1, 502428256, 586668962, -1, -1, -1, 897572756, -1, -1, 626176617, -1, 998376175, -1, 273667522, 383481637, -1, 558064845, 763420836, -1, 713833086, 762827031, -1, 218502063, 424836543, -1, -1, 709931263, 201679478, -1, 258986674, -1, -1, -1, 83388249, -1, -1, -1, 460854594, -1, 76843285, -1, 552678201, -1, 43000672, -1, 996369591, -1, 609554594, -1, 658755771, -1, 37290481, -1, -1, 829681698, 208258867, -1, 394656826, -1, -1, -1, 932757937, -1, 472185253, 761236437, 155216956, 497029398, 69823709, -1, 170707427, 148504599, 709606172, 285222331, 768727621, 276965582, 586976823, -1, -1, 816145603, 895208478, 142171888, 908055584, -1, 776165409, 146215491, 606812281, 228620136, 685927643, 161914626, 996530820, 839467795, 347580680, 70800290, 12337509, -1, 390576290, 310020844, 807712521, 810546461, 713361632, 592418243, 528910340, 869382999, 302238572, 361397270, 949903741, -1, 687597409, 15608634, 929040186, 37276597, 142679981, 164252674, -1, -1, -1, -1, 86204364, 169743192, -1, 914410242, 746362161, 805147967, 187189618, 285961236, 613440535, 928933739, 251326291, 186557031, -1, 749972933, 857860990, 119304300, 593665344, 142898650, 616134256, 109349007, -1, 83447470, 43929410, -1, 898020437, -1, 869473464, -1, 994268160, 74582320, 120516849, 895222160, 895839979, -1, -1, -1, 298331197, 335864769, -1, 775725130, -1, 325859836, -1, 246841079, -1, 751093367, 564539344, -1, 399470510, 576875650, 35722588, 586032789, 944047837, -1, -1, 103939131, 786190842, 148017112, 981576933, 836861585, 833059568, -1, 20124196, 673092035, 586640913, -1, 573202726, 740796175, 109010218, 142513748, 230907227, 84683177, 437788678, 486898290, 699818083, 151789612, -1, -1, 212619862, 664347729, 494441731, 764969780, -1, 729637430, 572396371, 527092344, 174170020, -1, 796561497, 196965671, -1, 661915347, 19349015, 537918197, 906893481, -1, 12327001, 351445086, 265217899, 421545501, 829668278, -1, 154951180, 626342254, 378663574, 399012471, -1, 216899296, -1, 151268037, -1, 955688918, 158715659, 740459323, 484531587, 858360409, -1, 405617554, 470498599, 21884385, 892523351, 359685322, 938624523, -1, 609436496, -1, -1, 848766754, 702488198, 76476381, -1, 838960331, 609964893, 7949160, -1, 297159735, 812574099, 965454883, 498494358, -1, -1, 198891092, -1, 752207515, 274370159, 296500990, 454311447, 216260603, -1, -1, 546840053, 680492513, -1, 872477753, -1, -1, -1, 931438647, -1, 333526943, -1, 75653477, 202640162, -1, 813394979, -1, 923448030, 987919142, 825838260, -1, -1, -1, 427461178, 454568937, 895195822, -1, -1, 305452659, 137249672, 541943299, 243012916, 937951921, 984507422, 79895488, 226735396, -1, 639604849, 688907913, 647785963, 748354279, 400913577, 408274126, -1, 585415729, -1, 162098908, 262567895, 610367611, 360030873, -1, -1, 569481055, 327142396, 169587332, -1, -1, 157873740, 955122057, 141719391, -1, -1, 825786698, 892470621, 542607228, 963740798, 757427801, 226998700, 348959560, -1, 530158976, 474521120, 247572428, 552628213, 130750964, 437627054, 168255271, 57589399, 758637735, -1, -1, 647623585, -1, -1, -1, -1, -1, -1, 704413135, 512367561, 80571036, -1, 809938648, 268807942, -1, 28438646, 455716352, 963622709, -1, 972951620, 314420555, 708680478, -1, 365376661, -1, -1, 560620981, 211670137, -1, 973567540, 395775929, 143764598, 299666632, 761871331, -1, -1, 248559213, 849163121, 151148514, 990769294, 206738860, -1, 880144615, 777447405, -1, 267242547, 368322098, -1, 132243223, 292110992, 292290, 174728851, 627167636, 284937779, 228498006, 888427494, 959398496, 726555582, 445601208, -1, 949758357, 549099906, -1, 755723293, 681794553, 664005496, -1, -1, -1, -1, 441663744, -1, 316243533, 405434013, 423878083, 506195134, 252900291, 578897503, 916929221, 798408239, 120142653, -1, -1, -1, -1, 891003000, -1, 628355916, -1, 853837593, 664641897, -1, 307111372, 466076328, 934032224, -1, -1, 501263333, 519170811, 809589707, -1, 525172537, 166902018, 869117120, 95030875, 796887801, 423433106, 516749220, 901801878, -1, 799100850, 668459892, 414728593, 714358890, -1, 539214430, -1, 564362881, 457701756, -1, 843610641, -1, 573304185, 164152644, 107599089, 751534857, 126809177, 141524364, 440329426, 625148316, -1, 358202246, 39234934, 976066239, 537795044, 579753265, 525098074, -1, 42747599, 950103199, 6050871, 230894424, 606025346, 974132701, 748189203, 819443223, -1, 891387239, -1, 139875681, 70028190, -1, 635426083, -1, -1, 846968109, 473806724, 199831229, -1, 85653428, 225636100, 332162892, 97087555, 341528845, 75858065, 82555275, 664149132, 957711381, 999925806, 922379929, 200262890, -1, -1, -1, 643012054, 991246141, -1, -1, 321197177, -1, 845176693, 893395203, 290016732, -1, 149163437, -1, -1, 494011796, -1, 146783790, 278689479, -1, 18107223, -1, -1, 743102895, 335756645, 273718689, 419589193, -1, 342106287, 575032746, 390051434, -1, -1, -1, 304543623, -1, 660143147, 514762887, -1, 73259943, 948089883, 399677595, 246909779, 613346858, 106272397, 934211216, 450813802, -1, 21255977, -1, -1, 349157685, 774343711, 195716947, 300502417, -1, 279257477, 759272789, 125707120, -1, 4903972, 80696461, 528156508, -1, 94024343, -1, -1, 663912902, 680951203, -1, 766409952, 322247846, -1, 9651788, 500059111, 731469404, 423679319, 55669366, -1, 776870868, -1, 970942301, -1, 730965037, 181697482, 956385795, 205411450, 431300637, 290422655, 676982483, 282373403, 956256708, 363101593, -1, 615273971, 71277691, 462846052, -1, -1, 490541769, 548260814, 877422566, 202173511, 381382576, -1, 924843824, 463645346, -1, -1, 345428695, 48677760, 474004901, 485127862, 890778582, 910244775, -1, 490395259, 540298280, 211166609, -1, 755799479, -1, 287746574, -1, 124635705, 285686681, 542415223, 801132232, 327237139, -1, 664280287, -1, 959240548, 479131401, 657754884, -1, 650933954, 338384705, -1, 4023285, -1, -1, 156199835, 239360529, -1, 88172572, 467514686, 834174419, -1, -1, 989112999, 760396972, 407128962, -1, 893853925, 411746735, 649033508, -1, -1, 249125673, 617869927, -1, 691492018, 829376024, -1, 663765085, 180558306, 367133140, 510698029, 48642378, 864999081, -1, -1, 502087644, 627721593, 44988081, 902584765, 714846359, 949273035, 774861035, 505511887, 856507960, -1, 880374730, -1, 412779425, -1, 943740962, -1, 89469744, 936784943, 30459177, 312487211, 243880997, 304780770, 366118640, 452017005, -1, 972010089, 156348675, 801118084, -1, -1, -1, 724165623, 144259418, 80520751, 192936998, 445885788, -1, 763413552, -1, 547853230, 570010187, -1, 454004314, 263989727, -1, 473575676, -1, 933379079, 198336767, -1, 840512325, 985489768, 567411627, -1, -1, 146521438, 664633886, -1, 877757624, 694566083, 319852424, 285451859, 146763265, 731736295, -1, 719888906, 722704382, 505500298, 458886815, -1, 791423512, 445423196, 324843664, -1, -1, 875389607, -1, 66991212, -1, 573096702, -1, 705949481, -1, 336851107, 571496914, -1, 212766922, -1, 61167416, 324236974, 680321676, 90365937, 782234925, 330381233, 798393042, 424725248, 261608710, 269725578, -1, 434933613, -1, 995448923, 939990315, 572468152, 333416042, 214084146, -1, -1, 298238495, 421809746, 323078406, 557533399, -1, 826687126, 736042988, 112170579, 907063201, 103471560, 798269857, 121624413, -1, -1, 840686331, 321679058, -1, 684237368, 672287782, 259856289, 951793437, 672720219, 659891105, 677241713, 383241595, 216422284, 57267398, 572091825, -1, -1, -1, 766068666, 492651674, 672777367, 640872695, 728631196, 579360885, 652082160, -1, 907665184, 159455442, -1, 788585766, 344652980, 586688730, 390553120, 470950466, 671477783, 466029132, 816003952, 206654934, -1, 514897070, 671731608, 782913935, 717238125, 923523667, 323071486, 896767400, 688593367, -1, -1, 643206402, -1, -1, 491640860, -1, -1, 640122170, 348691922, -1, 881614240, 144588185, 825198661, -1, 29605290, 965017294, 178660110, 277693804, 6106, -1, 332070726, 961525892, 882715213, 910780726, 443514411, -1, 88769965, -1, 446346237, 290095437, 67820366, -1, -1, 632363530, 920190415, -1, 565152295, 810052418, 852143895, 443099437, 208333794, 703370266, 205250863, -1, 823887363, 365998507, 332828046, -1, -1, -1, 477877910, -1, 954259031, 804424435, 429580022, -1, 696083998, 645365579, 806488866, 844746908, 705147064, 68384179, -1, 743267773, -1, 264236279, 918718792, 754851028, -1, 740518402, -1, -1, -1, -1, 472593308, 93403209, 678466641, -1, 636556017, -1, -1, 352994213, 723788949, -1, 206919482, 61216773, -1, -1, 755905476, 682305616, -1, -1, 313024290, -1, 650145536, -1, 106105209, 894383346, 780804487, 781652832, -1, 95563189, 87512683, 180880502, 264827869, -1, 406246991, 652844279, 235729403, 752909555, 385076598, 298747456, 958072825, 490519014, -1, -1, -1, 347103594, 497761621, 641303969, 544468636, 93837210, 131168544, 253943738, 379779247, 762004423, -1, -1, -1, 890788586, -1, -1, -1, -1, -1, 912887475, -1, 210642713, -1, -1, 377120548, 327255695, -1, -1, 710118448, 801451314, -1, 174305358, 619967144, 239879797, -1, 318756991, -1, 164542559, -1, 302490465, 376894259, 310587825, -1, 165915694, 391236909, 505323780, 102493426, -1, 606956158, -1, 213600276, 167117075, -1, 209307119, -1, -1, 444113986, -1, -1, 915261412, 428942779, 502329343, 805287618, -1, 19273082, 716266384, -1, 133947195, 239025226, -1, 714642455, 300954357, 212521382, 397707917, -1, -1, 681232143, 752376889, 658836698, 239596091, -1, 899964336, 824725334, -1, 448058198, -1, 853568222, -1, 161106459, 933073959, 946565363, -1, 692876141, -1, 995820095, -1, 493401966, 263849471, 817811213, 577364179, 400032918, 347133145, 174426132, 632454569, 755721118, -1, 475532852, -1, 765496061, -1, 602172879, -1, 882730262, 442307162, -1, -1, 120371060, 639107012, -1, 913993146, 522259323, -1, -1, 38934846, -1, 827674969, 313374412, 967407793, -1, 631834419, 102457246, 92816863, 896499664, 131781773, 310642000, 120434448, -1, 451062249, -1, 738168689, 391841794, 737696795, 537863268, 596978271, 848356414, -1, 101134984, 173784098, -1, -1, 307296361, 599323790, -1, -1, 996565688, 746585735, 208698808, 261559005, 920851102, -1, -1, 325614255, -1, 810089145, -1, 548210817, 847239766, -1, 402506902, 709082624, -1, 622505563, 944053420, -1, 212818436, -1, 774529060, -1, -1, 571027280, 149915925, 459554468, -1, 226558117, -1, 561537964, 394999425, 416263148, -1, 409334748, -1, 281976191, -1, 552331453, -1, -1, 75000247, -1, 252386512, -1, -1, 351227872, -1, 412225914, -1, 666706000, 639004210, 79947418, -1, 247466251, 206175286, 597109845, 288829466, 35785075, 566605873, -1, -1, -1, 803862733, 490999569, 568667599, -1, -1, 19784755, -1, 944664564, 28781692, 449328728, 649796699, 104637533, 71346571, -1, 195502990, -1, -1, 962190462, -1, 113346078, 967334100, 784837505, 838353843, 144128900, 837128747, -1, 774970245, -1, 606532034, 282912348, 183502720, 811204913, 324429034, -1, 107648158, 214099111, -1, 698597944, -1, -1, 2118466, 661713661, 342073406, -1, 337040346, 532420873, -1, 212080460, 565605277, 10832481, -1, 828273469, -1, -1, 728447010, 7391017, 889861123, -1, 197300687, 467052918, -1, 288773203, -1, 885984176, -1, 501859067, 969201229, 609915391, -1, 189794347, 861201702, 690851547, 125789320, 379312834, 563878162, 495729705, -1, 423267177, 530437838, 934339067, 924419462, 253692304, 391081858, 473658262, 164526907, -1, 259755693, 134847617, -1, -1, -1, -1, -1, 489532844, 249716764, 286299736, 587565016, 270569495, 614849523, -1, 807235468, -1, 926571844, 388078090, -1, -1, 62901278, 361844422, 971301548, 211587975, 918994041, 545312038, 378037115, -1, 996667, 674084155, -1, 588044266, -1, 575827705, 550121870, 577992780, 468452715, -1, 860623111, -1, 796771056, 793007399, -1, 273795011, -1, 327187295, -1, 717355504, 490839294, -1, 464967220, 541002230, 596034410, 110156154, -1, -1, 430896414, -1, 685913163, 180677609, -1, 868146535, 39822500, -1, -1, -1, 969860461, -1, 224973376, -1, -1, 82087162, 875380372, 452792155, -1, 241894690, 721405502, 55447273, 428532827, 446773927, 57678223, 458204171, 755937480, -1, 121731327, 661348117, 628167334, -1, 835006939, 569070348, 432000349, 474859351, 180205163, 471621764, -1, 226242098, -1, -1, -1, 440041894, 946964423, 890152187, 672409498, -1, 375499085, 699023867, 498638834, 609626812, 924015100, 885562423, 895224585, 901240987, -1, 353996936, -1, 345680811, 371617306, 396472395, 733046565, 963732882, 768838167, 119427095, 198999035, 305612067, 768356284, -1, -1, 288241440, 689377133, -1, 686205275, -1, 377717215, -1, -1, 983879836, 55239263, 321294768, -1, 619559423, -1, 184592606, 35514380, 236109028, 678409205, -1, -1, -1, -1, 870897289, 590496121, 751696567, 863781390, 296808109, 127272259, 517479409, 417096674, -1, 255776819, 507180966, -1, 86472754, 20826522, 306620495, 333186921, 263799757, 173757370, 376437191, 800153977, -1, -1, 137701379, -1, 710984424, 363643616, 927755798, 204363140, 602556598, 71857333, 329653626, -1, 779229573, 417182601, 473011594, -1, -1, -1, 384509822, 956562295, 683280489, 823293068, 963454426, -1, 229764839, 155511972, -1, 130315895, 639990232, -1, -1, 357470947, 966643450, -1, -1, -1, 577894706, 456526099, 226794740, -1, 493946051, 59907796, 983875928, 399640517, 452427851, -1, 324413662, -1, 150136716, -1, -1, 820757055, 806311968, -1, 546548233, 555467593, 177274125, -1, -1, 285790245, -1, 440864442, 354800304, 11361703, 335889338, 247346468, -1, 61192979, -1, 699197549, -1, -1, -1, -1, 205460142, 119749832, 137073423, 931259379, 522565708, 755747248, 265712413, 408558615, -1, -1, -1, 366887789, 461627664, 284105729, 262712099, 961317979, 554073174, 837014191, 898026267, 387763452, 399150374, 333000450, 537133723, 521483187, 250227012, 47930254, -1, -1, 342616553, -1, 715614130, -1, -1, 587230825, 529207709, 70267631, 299968570, 587622065, 536324019, 941920026, 259680561, -1, 727470842, -1, 620605942, 230886492, 948841597, -1, 69582045, 494684481, -1, 549918620, -1, 148089131, 696393924, -1, 740624582, 938091948, 833977617, -1, 639960438, 266312947, -1, -1, 799804855, 163754486, -1, 639258679, 52462237, 977213314, -1, 994141330, 222274134, 610437050, 723080001, -1, 963620948, -1, 241252276, 359771338, 717175237, -1, 204983738, -1, -1, -1, 736730010, 376625197, 560256860, 869898285, -1, -1, 506562076, 526650629, -1, 393536743, 742308660, 392837073, 308416437, 413038631, 144074645, 25438096, -1, 691372887, 967372686, -1, 200722632, 378870340, -1, 315447236, 249145057, 632846131, 145165865, 887864043, 111379729, 573328165, -1, 629165650, -1, 258859066, -1, 283747684, 407532389, -1, 936611415, 845873509, 42543686, 491804810, 516032106, 536577836, -1, 494470129, 596985259, -1, -1, -1, -1, -1, 775064716, 157185744, 501891021, 787512767, 703260079, 483556316, 482053609, 132274171, 600127021, -1, -1, 280506111, 684472118, -1, 290222281, -1, 85596726, -1, 694374445, 964701157, 293115046, 336793879, -1, -1, 452905649, -1, 985816416, 799919316, 221132474, 158832267, 140094717, 14440290, 562384814, 387349828, 399155850, -1, -1, 406749286, -1, -1, 404485320, -1, 390099664, 656746223, -1, -1, -1, 904024832, 904970051, 318461829, 689002393, 789423660, 940607518, 677436424, 523821197, 673436786, 728585955, 730183004, 294034673, 341407566, 879771071, -1, 21504029, 128963042, -1, 402185548, 710812568, 645764391, 347755451, -1, -1, -1, 975063138, 343920287, 103876487, -1, 179669991, 980166866, 997169465, 519051274, 687195447, -1, 747004990, 955070425, 516096583, 807602941, 43827029, 834790477, -1, 780747805, -1, 260679594, 755121982, 33115896, 944831760, 177553650, -1, -1, 373595819, -1, 755621424, 901772822, 493690918, 198653412, 253939092, 375337549, -1, -1, 43516518, 205812079, -1, -1, 262344510, 893260312, -1, 135249416, 830226220, -1, 961316495, 848561908, 99320969, 424578620, 505322280, 804502040, 10951179, 781370908, -1, 832402249, 740913221, 102905520, -1, 863410535, -1, 834948126, 935705283, 882794720, 51278023, -1, 14717008, 440369282, 444214404, 402665350, -1, -1, -1, 246164775, 516031907, 508576675, 101983924, -1, 507034249, 410453594, 274408166, 231219315, 292837769, 997943241, -1, -1, 688957173, 718177113, -1, 256099065, 908198895, 61255187, 934579510, 166335488, 986693988, -1, 351166196, 531387401, 568222888, 904291612, 143680695, -1, 834121647, 734854090, 467885379, 145605196, 504659138, 301533469, 203729679, 688189693, 168806135, 631215909, 24506492, -1, 550841851, 376392477, 239695839, 251128128, 746255293, 945893984, 299041197, 990911043, -1, 39471331, 915435277, 18610947, -1, 806003158, 267491149, 501697406, 453472503, 312269131, 811192795, 889755977, 158279130, 292092712, 18581145, 11365107, -1, 476680239, -1, -1, 402146002, 602073358, 432423905, -1, 885555816, -1, 789491031, 794487761, 824579897, -1, 780206942, 243974413, 271608751, 932964428, 255214156, -1, -1, 435692290, 866553240, 549972040, 102442710, -1, 737754634, -1, 867514659, 198008798, 430138538, 403567411, 579373149, 8377091, -1, 616219752, -1, -1, 134503815, 672221273, 139206601, 463539338, 449418633, -1, -1, 867070754, 234194948, 773775036, 672507616, 695805295, 318840880, -1, -1, -1, 879030095, -1, 304001413, 724105657, 55496047, -1, -1, -1, 565941881, 568739606, 955795301, 879715702, 373488269, 812020562, 962368107, 302991906, 690222206, 656773108, 602238927, 86868480, 806218697, -1, -1, -1, -1, 820695186, 84528960, 401418047, -1, 579066496, 869725643, 789428336, 272617895, -1, -1, 624378808, 286834098, 187413552, 27563898, -1, 687695162, -1, 855452139, 522924716, 394256372, 982018735, 662145669, -1, -1, -1, 235939038, 626155373, 109121489, -1, 202113561, 281484437, -1, 596901976, 897422854, 235099398, 178722932, 790881264, 502039429, 699444937, -1, 483730685, 870220955, 86453386, -1, -1, 956106072, -1, -1, 797314766, 918887246, 596654625, 961612250, -1, 841187843, 895758627, 97358238, 932524056, 421822381, 468271617, 456064940, 211723180, 580818125, 956727375, -1, -1, 474300373, -1, 127182671, 538623147, 655670763, -1, -1, 524368755, 926503507, -1, -1, -1, 301729519, 943498437, -1, -1, 69514548, 334869615, -1, -1, -1, 913297153, -1, -1, 302934488, 640299726, 811373791, -1, 954204674, 445104640, 959483591, -1, 629154620, -1, -1, 164205354, 35482737, 728253508, 350168603, 128935938, -1, 881904123, 490858813, -1, 282242087, -1, -1, 770330689, -1, 693103980, 423387588, 239560913, 722042105, -1, 657242429, 81517546, -1, -1, 580445954, -1, 880024050, 222395347, -1, 287475063, 482381164, 819047549, 747359498, -1, 622718346, -1, -1, 799543803, -1, 812033404, 361163041, 312221780, 263621608, 659094465, -1, 13688541, -1, 38479918, -1, -1, 60193920, 988372192, 225721817, 561706557, 9248445, -1, 321307659, -1, 918851553, 701191211, 325262304, 690408817, -1, -1, 501801223, 809073066, 81479935, 507072775, -1, 140446483, 716805938, 230773158, 387029011, 456552152, 207391561, 998208082, 4872196, -1, -1, 268672105, 620452104, -1, -1, -1, 790287508, 436925743, 892256410, 360431959, -1, 813386135, 923895820, -1, -1, -1, -1, 143775685, -1, 847826590, 69720792, 383285875, 532239710, 997946904, 816399990, 589138808, 696373084, 481533122, 923441380, -1, -1, -1, 805493877, 429403858, 154018608, -1, -1, -1, 903453230, 62578924, 339770912, 829132505, 976432921, 987385144, 16620343, 724114770, -1, 714924286, 643806735, 16700034, 115452805, 490446290, 301058058, -1, 745534960, -1, -1, 173627972, 759426914, 473123518, 581998326, 772611591, -1, 607429971, -1, -1, 97597838, 555900436, 326719432, 662931084, 226682776, -1, 389789151, 646029493, -1, 369049287, 843839191, -1, 971828814, 662260261, -1, 31434116, 708700466, 195136542, 425516097, -1, -1, -1, 630136591, 94677727, 614555686, 728141828, 549515496, 823964527, 568585115, 881041587, 859316327, 606333958, 829582911, 480322058, -1, 902467931, 556320643, -1, 328525472, 915583728, 423655469, -1, 281320220, 673829228, 403973291, -1, -1, -1, 341271442, -1, 546110180, 853855431, 800855824, 58106232, -1, -1, 709841585, 189902429, -1, 707775519, 471221933, -1, 11147259, 209190466, 760542321, -1, -1, -1, 232426480, 335298320, 345022507, 546439573, -1, 637216266, 706063183, 312975550, 984500096, 960369368, 272111190, 478683526, 930625913, 93790666, 196154381, 119423700, 27792205, -1, -1, 397593104, 600320575, 408675974, -1, 769567154, 655855720, 459758363, 155210110, 820219866, -1, 103811014, 59499619, 271346168, 332505354, 576057912, 75626883, 194028396, 911322217, -1, 35473742, -1, 521179462, 838088085, 87297363, 781637222, -1, 310504915, -1, 8541635, 312898358, 223694080, -1, 628379783, -1, 929781784, 416673239, 909498172, 433054097, -1, 877563689, 360838981, 348928336, 661474471, 319726226, 897356186, 8370613, -1, 910420124, 714849387, -1, 555553344, -1, -1, 44335523, 89275888, 398165285, 717225859, 116453587, 25901773, 408063782, 610919772, 694024028, 840212901, 73044923, 786711378, 615172676, -1, 261152828, 834882685, 807056524, -1, -1, -1, 543304619, -1, 843814764, 652732903, 736688084, -1, 495708159, 391781795, 747224825, 764402197, 182217177, 112032795, -1, 536963245, 620265781, 443791920, 826557514, 715030648, 118815955, 346249542, 165481695, -1, -1, 602084704, 330539161, 39797554, 718086639, 372748260, -1, -1, 398494767, 873441354, -1, 626861068, 826321382, -1, 2791813, 837560701, -1, -1, -1, 792184149, -1, 267310349, 954335850, 974552784, 289668157, 734888686, 221221470, 746020454, 820972420, -1, -1, 671681719, -1, -1, 21675192, -1, -1, 902713640, -1, -1, 992400968, 206413405, 585377923, -1, -1, -1, 358282223, 386661604, 468726730, 595708768, -1, 96816203, 482898719, -1, 466266167, 563901128, 717212163, 473238027, -1, 587105331, 553746805, 878781803, 661190252, -1, 850413024, 136692319, -1, -1, 659412666, 383178823, 634141559, 952145572, 381669873, -1, -1, 27447759, 174749488, -1, -1, -1, 17896659, 584568418, 592966997, 499288786, -1, 452844509, -1, -1, 768026957, 78792102, 593797240, -1, 435364892, 134817665, -1, 958614131, -1, -1, -1, 30665059, 596957705, 987463588, -1, 614656345, 732373647, -1, 188480351, 62700765, 505847592, 11731875, -1, 169560349, 66879616, 807251490, 182874508, -1, 883678030, 612256927, 359375148, 123718374, -1, 898676284, -1, 232955899, 115180182, -1, -1, 328577228, 889911646, 372877900, 656996967, 381608985, 29187817, -1, 735212459, 415122273, 738089151, 839579709, 949035300, 295875238, 182959178, 530023177, 451632620, 499439492, 176413068, 341428308, 150890542, 458946220, -1, -1, -1, 867295132, 404698984, 492631843, 677334748, 98534090, 839114776, -1, 914134438, -1, 936701594, 176314863, 818959399, 21325649, 925654345, 392091728, 955283556, 707395421, -1, 355691125, 978160902, 517375355, 729664269, 222941820, 675105412, 606830412, -1, 107617914, 219357138, 873569310, 773072896, 268239222, 976935734, 996148944, 826068595, 674685332, 701498981, -1, 694257904, 519461373, 52374828, 336478311, 268248314, 326292966, 910704023, 489948051, 90233638, 441024326, 879915702, 790462032, 316786685, -1, 125531834, 824202870, 934022769, -1, -1, -1, 343526959, 440088259, 572430341, 48145751, 341068426, -1, -1, 543858747, 434631628, -1, 310341473, 605278433, -1, 953319055, 553670650, -1, -1, 199934294, 357820270, 865810795, 984404352, 561736854, 391548913, 90576368, 725023205, 12320276, -1, 819936460, 317176759, -1, 574695918, 583856670, 337123468, -1, -1, 547231843, -1, -1, 918616142, 820438760, 156931573, 681416799, 147396937, 586250733, 220542736, -1, -1, 639791508, 662183241, -1, 467803746, 152987626, 955215245, 141648143, 938510446, 974197264, 94570637, 991325784, -1, 454191726, 411186011, -1, 465367575, 347080288, -1, 432611895, 531909358, -1, 290546185, -1, 665872378, 283306603, -1, 322467410, 979679932, -1, -1, 115048684, -1, 473782132, 273428825, 525335621, 222163901, 40565044, 201646912, 436772393, -1, -1, 805269362, 164692873, 651746845, 312078266, -1, -1, -1, -1, -1, 682459411, 311402327, 776124635, 429261802, 577759952, -1, -1, -1, -1, 456549093, -1, 22058410, -1, -1, 393595958, 661234040, 534747120, 868095190, 370961477, -1, 5947995, 774604923, 896557090, 163675605, 318206137, 884976639, -1, -1, 912343375, 582133445, -1, 508117484, 547658634, -1, 560304367, 464779838, 457278694, 540483156, 146538474, -1, 166997775, 99927406, 292173888, 830672381, 552655527, -1, 321618331, -1, -1, 662235218, 429503140, 204815982, 251302933, 902614144, -1, 709900812, 853948400, -1, 518364594, 387770629, 227583170, -1, -1, 206251820, 197377129, 735325644, 575609416, 888536509, 666803248, 287273101, 722464039, 170858065, 689950387, -1, 88073280, -1, -1, 450429190, -1, 722282212, 550385292, 319485023, 810538037, 828846291, 573855321, 58617309, -1, 425544182, 877937676, 987142742, 403923427, 718064078, 747784550, 754185130, -1, 425143764, -1, -1, 935362677, -1, 67887793, 302939348, -1, -1, 55338833, -1, 673170696, 78874569, 548260760, 332605907, 738018314, 466130225, 560808088, 606941561, 482123226, 274542691, 341793180, 466503815, 105569440, -1, -1, 795902137, -1, -1, 794487242, 876081982, 106329115, -1, 937747592, 605923223, 261307226, 860034646, 55167986, 216204085, -1, 620150812, 398135971, 443103893, -1, 823016833, -1, -1, -1, -1, 820346350, 915352003, 359568924, 339572165, 233147084, -1, -1, 429865711, 51305330, 925786902, -1, 994542202, 354577998, -1, -1, 217841808, 765097682, 466555008, 580632682, 875971942, 48254498, -1, 58981022, 820326368, -1, 657478004, 459569509, 272011138, 95253777, 820931550, 923780258, 405821027, -1, -1, 304476223, 308801123, -1, 172258338, 151551880, 612817248, 453106565, 620073110, 234556774, 617569267, -1, 638096972, 107742836, 652324068, 345068048, 302739661, -1, 490193217, 43512421, 67675813, -1, 561267853, -1, -1, 473779597, -1, 613719556, 220243339, -1, 710854235, -1, 282389867, 35526815, 303860936, 818696147, 329234810, 226725175, 147814136, 969502489, -1, 659942433, -1, -1, -1, 325168771, -1, -1, -1, 403262272, 344589019, -1, -1, 484539910, -1, -1, 987395291, 990153148, -1, 963508475, 87778314, 166400004, 193067122, 917309401, 673523834, 669904613, 77282399, 83353863, 938063729, 542396370, 191190139, 132248695, -1, -1, 325245823, 854572463, 763278961, 765906637, 252097215, -1, 802813527, 439739611, 737125501, -1, -1, 902069112, 781282341, 405740618, -1, -1, -1, -1, 165733698, -1, 769726300, 187561651, -1, -1, 754755233, -1, 974246305, -1, 526148823, 569463189, 437086983, -1, 720658252, 197326333, -1, -1, 325494443, 116476882, 150794799, 47566126, 751139264, -1, -1, 853906574, 558606769, -1, -1, 677369776, 309835571, 97622394, 485454776, 287884031, -1, 80870804, 705054089, 521510271, 299032285, 786864779, 596050175, 61107018, -1, 156935942, 503193779, 246828587, 687882879, 405566685, -1, 816518713, 519623726, -1, 554787106, 788244702, 10780779, 937496977, 480967712, -1, -1, -1, 494579979, 891650420, 355500845, 636377356, -1, 210814313, 248355218, -1, -1, 860942745, 839643295, 56392533, -1, -1, 789744552, 508012260, 253531725, -1, -1, 157176838, -1, -1, 287448239, 14121935, -1, 131439068, 788236886, 379110769, 121547072, 76112502, 82526928, -1, -1, -1, 969714166, 499980107, -1, 614059254, -1, 187578503, -1, 595206853, 867619745, 781518852, 126889744, 534717497, -1, -1, 696959689, 643205453, 637520053, 994207676, 798349560, 221406611, 18975276, 344962451, 355125279, -1, 323520341, 869782287, 465787875, 373764654, 390553011, -1, -1, 971260600, 415133631, 115774855, 508693714, 245386059, -1, 579275795, 455651802, -1, -1, -1, 607950028, -1, -1, 775574200, -1, -1, 687543031, -1, 146673675, 483324891, 966592110, 603416509, 110994968, 442585875, -1, 424203040, -1, 537272482, 306548114, 763091413, -1, 531121203, 890793801, 368936012, -1, -1, 244299609, 717103908, -1, -1, -1, 436217735, 77284967, 476964126, 23142694, -1, 545411945, 123323286, 452354651, 622140529, 782294928, 153523576, 221742542, 715339968, -1, 761200866, 95389383, 834100612, 340653547, -1, 185935157, 274658770, -1, 330653255, 349970519, -1, -1, -1, -1, 150652244, 311097200, 394832186, 593724551, -1, 935012779, 604889431, -1, 953408728, -1, -1, 487827654, -1, -1, 793123764, 400222637, 882946334, 845465516, 811851905, 969040805, 306779607, -1, 445817166, 521411136, 72934620, 191215469, 529819487, 805130085, -1, -1, 403302201, 454308882, -1, -1, 88257734, 515703872, -1, 235903081, 965842475, 52432532, -1, 4535387, 258126989, 913390503, -1, 914992877, 265295590, 817196157, 455488981, 181798522, -1, 545938559, -1, 194733815, 428615857, 49072973, 448778693, -1, 525688296, 857560764, 724099965, -1, 856505076, 295003457, -1, -1, -1, -1, 400903205, 27931452, 414867452, 647825402, 160538491, 557167514, 606586540, 975194829, -1, -1, 607148490, -1, 714874152, 41032504, 637257083, 631672448, 555355043, -1, -1, 127392035, 580652498, 442350895, 156540175, -1, -1, 140988104, -1, 455124374, -1, 232931710, 461902828, 561597392, -1, 534591216, -1, 244205232, 556030951, 110281574, -1, 575818252, 873531604, 892156429, -1, -1, -1, -1, -1, 4972968, -1, 282042905, 461549933, -1, -1, 778666397, 811058684, 338142332, -1, 906450737, 79264262, 798026816, 997181881, -1, -1, 135346820, 826648625, 952705707, 324209932, 228005534, -1, -1, 297661131, -1, -1, 20841281, 831816263, 725040627, -1, 706788014, 787000670, 509545789, 716303861, -1, 445836809, 421505871, -1, 806970757, -1, 115602173, -1, 443410460, 401011144, -1, -1, 342278946, 751543952, 196310028, 792475388, 480481055, 858558768, 122791063, 737098571, 146076157, 136430584, -1, 236891601, -1, 72150896, 797610361, 290305545, 37685576, 30411459, 278126738, 731349646, 341275698, 397499800, -1, -1, 61793177, 571976152, -1, -1, 268812268, 89783496, 211043038, 606190101, 539117598, -1, 488929071, 547547392, 896164215, -1, 140834402, -1, 184037476, 262411213, 486373950, 873945275, 843170086, -1, 754968639, -1, -1, -1, 484705824, -1, 154966195, 16891149, -1, -1, 783621742, 579771369, 401087405, 566009837, 379737402, 567318654, 476427141, 74470141, 945906463, 696617756, 597045425, 593260941, 87759731, 633578010, 439022481, -1, 764809726, 802305075, -1, 6880708, 575062497, 782418962, 827603140, 180252385, 397359142, 773129379, 141893379, 676608528, 148482507, 679408444, 416982381, -1, 172665612, 510126740, 154309852, -1, 365761850, 949463547, 332260321, 819625907, 955877820, 845493970, 719620929, -1, 63986534, 578697682, 506282005, -1, -1, -1, -1, 656829568, 749555097, -1, 494386567, 437783025, 975151981, -1, 994221503, 890179063, 940076034, 213058750, -1, 920199918, -1, 464385070, 945316049, -1, 618441236, 861641295, 563816419, 708849411, -1, 733730616, 876606835, 624805815, 249026344, 606395361, 566127795, -1, 517951756, 901903651, 793706152, -1, -1, -1, -1, 701892212, -1, -1, 534153611, 833399794, 875137587, -1, 794605129, -1, 925534121, -1, -1, 996811652, 884480430, 558181825, 79144425, -1, -1, 503945663, 161361241, 663550880, 216372612, 611796642, -1, 914463019, 185938233, 317570841, 766959460, 304205793, -1, 221047652, 591676945, 879929010, 293841855, -1, -1, 64592963, -1, 25721251, 543263829, 220028273, 709202029, 177111478, 956750204, 741826646, -1, 24460581, 477395552, 854555642, -1, 359882119, 239177359, 577195795, -1, 330132961, -1, 569573244, 545963899, -1, 340978270, 837325637, 332078119, -1, 914466463, 855993879, 429010447, 235034830, 6310362, -1, -1, -1, 711064109, -1, 635389551, 828015626, 973870674, 545823813, 652192685, 740486659, 127837970, 867710810, 528368432, 321400321, -1, 220533409, -1, 372685870, -1, 590106925, 988023159, -1, -1, 785433442, -1, -1, 977118554, 840647845, 884058870, -1, -1, -1, 178030222, 846861689, 994446254, 834256959, -1, 67947291, 753549588, 82360584, 595052742, 87958225, 685873876, 255485188, 177529198, -1, 150922814, -1, -1, 255786323, -1, 927178817, -1, 230764769, 912091652, 763745732, -1, 433752498, 168424807, -1, 947258311, 400390423, 618590619, -1, -1, 914197341, -1, 403490732, 72456774, 460424973, -1, 830973339, 663277660, -1, -1, -1, 372588830, -1, -1, 185458659, -1, -1, -1, -1, 754572743, 284459817, 252617247, -1, 974658824, -1, 877116181, 102112508, 96030326, -1, -1, 765539051, -1, 11070207, 164446351, 658365360, -1, 701127459, -1, 164433036, 61377005, 919306304, 360133687, 967826225, 731304602, -1, 658561487, 913417329, -1, -1, -1, -1, 543991168, 351692246, -1, 151931641, 333011292, -1, 564287338, -1, 951484597, -1, -1, -1, 196837290, 809147198, 55439878, -1, 242656445, -1, 790259904, 38207213, 870262877, 655151110, 474940776, -1, 348256402, -1, 519907817, -1, 178226574, 218848923, 444453463, 998355928, -1, 423966636, 344247359, 479697662, -1, -1, 647504394, 404864391, 619739338, 547585285, -1, -1, -1, -1, -1, -1, 854919648, -1, 751781502, -1, 225452385, 864423192, 23458162, 283247883, -1, -1, -1, -1, 517129871, 940202349, -1, -1, 26737112, 444163373, 18183489, 56164056, 13581006, 661893759, -1, -1, -1, 632965659, -1, 855423791, 281775856, 986295274, -1, 305610532, -1, 306940923, 579065412, 371577551, 637350303, 766796123, 628161033, -1, -1, 152554974, 592953486, 658644134, 358301847, 738124051, -1, 304828282, 567446118, 47114315, 241265944, 117525629, 773572477, -1, -1, 664624628, -1, 962834403, 183832717, 230937547, 380919565, 489776875, 87212762, 765076035, 95190444, 573246940, -1, 252720914, 87381751, 343117042, -1, 955121156, 442923147, -1, -1, 219093478, 107671021, 590973540, 958386381, 514206463, 981335077, 139046515, 69491460, 697285592, -1, 910944316, 224314840, 270590399, 911786378, -1, 589028755, -1, 950517210, 563377367, 597291962, 154720899, -1, -1, -1, 697288361, -1, -1, 747900670, 150345581, 481402912, 275375530, 599217624, 908368255, -1, -1, 431371863, 252060279, 877008136, 443979534, 584679156, -1, 235959469, 730190544, 287701944, 886113210, 663910242, -1, 862693717, 176544613, 768927730, -1, 919459812, 697604631, 776626473, 130558862, -1, 723872303, 295839906, 666398510, 103077501, 795649893, 193488583, -1, 299669541, 570873679, -1, 298003382, 379532777, 721653743, -1, 498741543, 276320357, 466923820, 349630100, 390220906, 613360913, 677217365, 410874226, 121614047, 771695995, 106019725, 52469243, -1, 68597930, 983855798, -1, 643796750, 625455763, 144651175, 22148545, 224228138, -1, 530840382, -1, -1, 79599078, 524025279, -1, 844134600, 649103255, -1, 101879427, 136201663, 406025921, 299539204, 372278303, 327410097, 193578283, 859155700, -1, 17671062, -1, 773242236, 263952895, 893347845, 820154762, 36148377, 501817979, -1, 552606213, 296155002, 185508371, 866717094, -1, 453494696, 184270662, 594983747, -1, 97060621, 119776962, 221781936, 652027212, 317440802, 885531304, 286399607, -1, -1, 143530275, 592544306, -1, -1, 714803416, -1, -1, 734964235, -1, 539510310, 779914295, 430510835, 634719392, 58456380, 47079620, -1, 267072647, 389468145, 982098055, 284786832, -1, 19461430, 653472911, -1, -1, 580085454, 39632486, 533640165, 997964362, 938694963, 504114817, -1, 702707885, 961545827, 431810528, 33632202, -1, 346005229, 437347244, 700740789, 727249049, 38259444, 840442607, -1, 28029516, 454629428, 678270812, 394488543, 550934640, 745317511, 942929880, 358289064, 589404619, 409562953, 999472870, 197682096, 403886638, 722910833, 349192208, 148055697, 289845622, 95149221, -1, -1, 448120122, -1, -1, -1, 20114499, -1, 724196169, 360138675, 584649526, -1, 229609058, 716847718, 380604301, -1, 450942589, 343464262, -1, -1, 114062829, 425341902, 754139979, 710148508, 833137466, 428254050, 286754324, 86267350, -1, 29218734, 597356932, 940462108, 467610974, 442988538, -1, -1, 938757482, 877824592, -1, -1, 735875944, 409060695, -1, -1, 565954012, 235628961, 702168058, 416953391, 976477562, 867923041, 626766659, 127477195, 459007052, -1, 247765428, 346423755, 539620120, 603006587, 387279142, 115407303, 233409817, 234874072, -1, 345109485, 628606041, 250298291, 838540955, 120173771, 445767364, -1, 882972406, -1, 600691251, -1, 695850210, 261861728, -1, -1, 756746333, 822702784, -1, 349671938, 815779817, 119900758, 51016325, 793093881, -1, 900754224, 626966322, 673417490, -1, 365921852, 730662947, 84687956, -1, 486406940, 787969402, 132254684, 860811716, -1, 822851729, 516463944, -1, 141978194, 447633581, 578565773, -1, -1, 352486929, 765645261, -1, -1, 732022051, -1, 17602051, -1, 429672818, -1, 731161529, 349458405, 863898518, -1, 899071457, 353914723, 937985681, -1, -1, 437999607, 444345302, 487431242, 416235936, 169070507, 917716733, 860193870, -1, 64258855, 52407352, 763280375, 909647463, 68147280, -1, -1, 734448390, 277306170, 58605798, 163519354, 471166152, 60366876, 134104104, 815516137, -1, -1, 334735963, 415157167, 779427421, 849512083, 957073336, 817050682, 459670068, 909872406, 244436375, 247928815, -1, 872426488, -1, -1, 431740987, 767942005, 135082390, 123615956, 899534311, 509936933, 536202976, 987861688, 491268776, -1, -1, -1, 905830321, 705827701, 220873934, -1, 710483160, -1, 368527905, -1, -1, -1, -1, 250017508, 441165173, -1, -1, -1, 358111446, 174197542, 863111962, 81619139, 403726138, 753459038, 254327746, 182783415, -1, 379485296, -1, 190435171, 373607090, -1, -1, 998102432, -1, -1, 276901506, 956314186, -1, 897208510, 570183169, 677157214, 229487251, 636296475, 30949494, 517674006, 79625477, 753397358, -1, 972240312, 634344151, 153432816, 988416269, 674752561, -1, 323797856, -1, -1, 886100858, 887186661, 989494140, 287718749, 582289363, 570805731, 144836185, 175484267, -1, -1, -1, 592360684, 60066032, 433543205, 879675814, -1, 655714737, 797315555, 445248908, 60728721, 754988148, -1, -1, -1, 721450484, 635016350, -1, 794189283, 952636205, -1, 783124689, -1, -1, 210721965, 833035827, -1, -1, 455688277, -1, -1, -1, -1, 905463804, -1, -1, 60687853, 211881197, -1, 557704754, 109729815, 46815846, -1, 194384391, 282121616, 549257144, 692755803, -1, 411367508, -1, 464504880, -1, -1, -1, 168263274, 722248931, 325244414, 287510524, 901071023, 268865106, 686002469, -1, 749343959, 457270177, 646440882, -1, 220577698, 414107624, 166416856, -1, 438685500, 279016196, 809704368, -1, 399609231, -1, -1, 78499158, 857421368, 567950995, -1, 990701143, 354145936, 591873392, 923276960, 129879295, -1, 238920795, 639203404, -1, -1, 921212910, 638246975, 706937772, 900097702, 4105357, -1, -1, 521610142, 185465645, -1, 115749747, 597804335, -1, 495151339, 316289108, 925024406, 927272689, 856214341, 838932968, -1, 173102554, 710162744, -1, 944129972, 814133467, -1, 601284257, -1, 209153160, -1, -1, -1, 688372877, -1, 879406650, -1, 686486584, 195849846, -1, -1, 927376801, 386221292, -1, 118848927, 149954755, 896737635, 773877963, 481022103, 188799772, 323297134, 180081664, 113555814, -1, 124709774, -1, 997292422, -1, 557392510, -1, 871369971, 517639603, 704307466, 573613531, 572048797, 501812941, 401642346, 659692315, 298680868, 533596169, 687532375, -1, 687457632, -1, -1, 631096891, 208596102, -1, 207885328, 590984406, -1, -1, 174544104, 139219791, 580109452, 44912421, 258113092, 84726326, 890077411, 224126732, 292130555, -1, 972001541, 736994535, 351773530, 759019828, 705590823, -1, -1, -1, 414310044, 534213558, 879952561, 391554570, -1, -1, 401823070, 163462272, -1, -1, 768790782, -1, -1, -1, -1, 211434530, 11802695, 57600403, 510734733, 911501604, 229280561, -1, -1, 23063408, 240680132, 805649294, 296620167, 547491221, 212206273, 768462325, 261197204, 16298278, 871696534, -1, 840833298, -1, 856910729, 239197504, -1, -1, -1, -1, 135704086, 840224366, 296942439, 706913683, 317093950, -1, 294320272, 186063724, 940744835, 733359096, -1, -1, 588611868, 732511006, 838433695, 431964492, 152114383, 262457721, 937201316, 731407429, 190598580, 31486043, -1, 331610484, 838669387, 158680019, 101601002, 288197424, -1, 944518625, 6184753, 121322939, 712549788, 883592328, 904434238, 964709640, -1, 338487050, 570501244, 88824784, -1, 108401189, 882357707, 4471, 392316783, -1, 372216768, 801883031, 409829614, -1, -1, 895347255, 823667333, -1, -1, 769900545, -1, -1, -1, -1, 982856186, -1, 61983302, 229573947, 859308281, 188482345, 93782702, 268144633, 36161986, 767490743, 645675782, 476851331, -1, 45811852, 146830603, -1, -1, 334415323, 17519004, -1, 877872198, -1, -1, -1, 352388602, -1, 659982293, -1, 888190487, 327659970, 243657167, 84152109, -1, 651709618, 139842727, 324961151, 343805957, 993595765, -1, 896752492, 286382109, 799143204, -1, 934973182, 340605083, 422519630, -1, 810307019, 227181742, 636010376, 482127698, 923551535, 465763821, 121507611, 956377072, 877688365, 49126363, 664844297, -1, 427913283, 421485094, -1, -1, 145621301, 676429726, -1, -1, 368343962, 521391374, 694895390, 876891042, 214149915, 568690244, 59666033, -1, 44944574, 806989538, -1, 880976856, -1, 560222882, -1, 678929458, -1, 681801551, 419173545, -1, 638319349, -1, 659560724, 700688176, 138955442, 999459926, 868819319, 83499979, 755270723, 430682761, 304743272, 627075514, 697540912, 603343700, 845963378, -1, 450240241, -1, -1, 775934092, 327487813, 430667198, 348708211, 686144164, 471574703, 356549322, -1, 556812143, 461954058, 524190818, -1, 43664833, -1, -1, -1, 408749521, 288305391, 834680009, -1, 780962966, -1, 634140207, 352457774, 152260111, -1, -1, 183100663, -1, 62103998, 735954262, 841743382, -1, -1, 399721767, -1, 363415041, 659142191, 887255371, 638476131, -1, 829970596, 495426638, -1, 263878819, 26256958, -1, 961780942, -1, -1, 874245411, -1, 872759710, -1, -1, 822545448, -1, -1, 879037813, 301753441, 821972310, 446347072, -1, -1, -1, 763222143, 772378397, 382742860, 99169101, 271732991, -1, -1, 936330800, -1, 268644356, -1, 979144874, 248643388, 564797261, 235761340, 595157178, 856011801, -1, 103075301, 462104383, 921897252, 755351965, 938503753, 3318497, 265527948, -1, 78992868, 15332063, 610347027, -1, 643671803, 655569991, 814426437, 797578991, 158319917, 595789812, -1, 801769810, 268078109, -1, -1, -1, 84031725, 507943646, -1, 948301412, -1, -1, 173342629, 16657881, 333215206, 233866643, -1, 563981898, 44461761, 289711107, -1, 865909654, -1, 540536516, -1, -1, 200154726, 892487746, -1, -1, 857152709, -1, -1, -1, 612196922, -1, 747240095, 802612885, 674756410, -1, 742927253, 711887577, 476240047, 540468798, 329438545, 265058358, -1, 242810908, 898551980, 890049364, -1, 220363714, 615157294, 803722074, 977074245, 347533661, 156544452, 959974935, 417013284, 278738004, 493988634, -1, 398202377, 271362477, 399219396, 382650670, -1, 150313430, 216675817, 884514551, 490578068, 751692853, 901373443, -1, -1, -1, -1, 560715070, -1, 739488186, 485978752, 23637687, 76573810, 634744268, 205256657, 252916552, 693754491, -1, 108456430, -1, 972933044, 91878313, 261082556, 537201373, 237604671, -1, 597650536, 130208839, 997774644, 218847114, -1, 475826379, 499940700, 835036729, 463918474, 360996698, 421023754, 122677567, -1, -1, 472121712, 429411680, -1, 987745964, 932962433, 521303473, 788128634, 931482634, 398257929, -1, -1, -1, -1, 254994737, 385796173, 4049427, 463512916, 893572453, 314184942, 919577972, 465498394, 694646879, -1, -1, 361757824, -1, 382364514, 648305242, 774378250, -1, 10475610, 898765677, -1, 196077894, 53108236, 343940910, 806825406, 866969568, -1, -1, -1, 693472176, 371565218, 827823123, -1, -1, 590245721, 240683434, 217777228, -1, 630952094, 721070347, -1, 678916226, -1, -1, 33491709, -1, 541509552, -1, 988393846, -1, -1, 950061132, 922818375, -1, 27082648, 361501717, 897014440, -1, -1, 70888802, 714440778, 731273639, -1, 370916092, 92711809, 311420464, 693691664, 934524521, -1, -1, -1, 954598126, 981570118, -1, -1, 596835233, 430581422, 942982593, -1, 448356644, 597665227, -1, 866144780, 345549440, 243538847, 72456928, 53479445, -1, 938744790, -1, 740372780, 526908342, 760585673, 563068763, 435899516, 882388915, -1, 657010665, -1, 345500689, 569395461, 822132162, -1, 600667829, 995244635, 460185844, 398694569, -1, -1, 946197078, 991020931, 165549725, -1, 760933107, -1, 240785125, -1, -1, -1, 550853152, 21111259, 529535975, -1, 265152120, 187950449, -1, -1, 716197942, 280328669, 800808483, -1, 993287630, -1, 121647348, 386077508, 428823733, 186099443, -1, 545537454, 48707908, 164825860, 502055988, 419732201, 299507841, -1, 775024575, 151311299, 386939119, 454804334, 891180722, 865705396, 894016507, 583335614, 340209989, 874565325, 372908700, 989060763, 433851954, 534228658, 580622531, -1, 705103312, 360514499, 795305879, -1, -1, -1, 845630379, -1, 824125703, -1, 579205546, 627811250, 841384240, 778093522, 64807538, -1, 419083128, 326084399, 598670901, 241969631, -1, 643318582, -1, -1, 541651739, -1, 225163538, 900343541, -1, -1, 479129846, 662445417, 670858545, 557410145, -1, 574493301, 22825741, -1, 587297242, 778373161, 448671870, 62558639, -1, -1, 239827303, 143308058, 828524832, 495010634, 710801766, 702953180, 764600247, 899184703, 359838659, 123614369, -1, -1, 662138348, 454158925, 807758285, -1, 697991324, 932015551, 323201441, 820131574, -1, -1, 938509458, -1, 592867374, 998096991, 141690691, 452279072, 925481752, 655888798, -1, 76072700, 615600324, 803717219, 473917791, -1, 566340433, 141767517, 488756524, -1, 512915445, 288522365, 538169353, 22778247, 994363256, 226568155, 392531345, 154384365, 897939025, -1, -1, -1, 209338, 969696998, 259293046, 17233557, 535012525, 325157629, -1, 891153517, 58785539, -1, 291603762, 166172251, 928688840, 188926582, -1, 641735025, 331171805, 266223770, 486904219, 587905654, 165102632, 223830190, -1, 886296517, -1, 220605460, -1, 64954079, -1, 634879576, -1, 128203445, 103482398, 693883262, -1, 323566713, -1, 33323581, 96794577, -1, -1, -1, 357057246, -1, 54893915, 926055882, 446234472, 292261263, 637239659, -1, -1, 853468766, 160189183, 769082820, -1, -1, 329471883, 491950502, 744323361, -1, 241819030, 581608086, 817169396, 432002794, 396733282, 579299141, 550648480, 221195913, 639670297, -1, -1, -1, 865926713, 126222748, -1, 756654773, 204252023, 865024477, 876830629, 333582167, 484793015, 808955598, 632381636, 44384806, -1, -1, -1, -1, 667264209, -1, 978899466, 594648309, 567042656, -1, 704744323, -1, 635808555, 647853006, -1, 225812397, 53405398, -1, 97764132, 473694500, 972153046, -1, 867361640, -1, -1, -1, 45808439, 174987845, 947931143, 428509496, -1, 907294880, 725521475, 789620921, 803918854, -1, -1, -1, 300502734, 544090956, 590921643, 688801885, 773556352, 743212676, 310573290, -1, -1, 385826467, -1, 198968220, 2895824, 125213792, -1, 564054423, 311971000, -1, 358655032, 197420818, 551332135, -1, 472161802, 911448591, 520591547, 622235835, 835706253, 41269925, -1, -1, 81505853, 402465728, 673330985, 7182579, 213269385, 429797363, -1, 690624207, 372827796, 244672999, 730479661, 978331759, 778022848, 166918643, 376222720, -1, 356299348, 931957840, 512092128, -1, -1, 81222757, -1, 604337380, 594853665, 237543311, -1, -1, 740955553, 142883201, 612113612, 784564548, 917443859, 125151834, -1, -1, -1, -1, 807776501, -1, 622160061, 246748729, -1, 782182087, 24028393, 572609626, -1, 745933300, 705829585, 243204957, -1, 720883489, 918699111, -1, -1, -1, -1, 371600176, 361824319, 79094075, 837626613, -1, 492705614, 262762701, 177339110, 699712563, -1, 750014457, 15533253, 482371723, 652093859, 747124185, 856575761, 562609712, 556708522, 846142187, 784071347, 880737596, 336846410, 300833487, 524789451, -1, 743101973, -1, -1, 94813131, 957243977, -1, 888932889, 724286079, 46366301, 118015823, -1, 248539384, -1, -1, 317648191, 149495577, 923218820, -1, 996028898, 750637235, -1, -1, -1, -1, -1, 827046836, 201849734, 964887401, -1, -1, -1, 253926065, -1, 756464183, -1, 536020637, 428246740, 172253504, 743609973, -1, -1, 352863751, 795976400, 362007922, 256631148, 883608452, -1, 167161097, 965037321, -1, -1, 262830153, -1, 398164493, -1, 850268775, 515636501, 914460059, -1, 771855382, 209673010, -1, 402176910, 556412552, 985572927, 547113422, 721035550, 906839460, 324026903, 561165642, 673566798, 187145108, -1, 23945611, 278151973, 463323515, 548683714, -1, 865887255, -1, 501566018, 510534010, 229240767, -1, 448435497, 269897417, 515624244, 511736639, -1, -1, 360595364, 891762487, 852904501, 538209826, 175357546, -1, 390392575, 252391333, 264765800, 701966949, 985543798, -1, 45207680, -1, -1, -1, -1, 141082329, 466278060, 42242278, 405020597, 611852785, 143285899, 99535294, -1, -1, 70371036, 420232516, 56829455, -1, 676664108, 776960214, 747577245, 754238949, 336027924, 13791118, 138039482, -1, 693243376, -1, 112529711, 31025829, 166598856, -1, 164882209, -1, 329897462, 904876714, -1, 284112015, -1, 819526741, 595100478, 466234, 216283338, 627002620, -1, -1, 934740954, -1, -1, 339185761, 895738374, -1, -1, 875537049, 329019505, -1, 945342817, 481773022, 952900778, 495068165, -1, -1, -1, 131905927, -1, 544703582, 131713720, -1, -1, 84739710, 487431138, -1, 854678337, 161349894, 435828937, -1, 759705535, 25185437, -1, -1, -1, -1, 575508728, 245177767, 525945078, 536265471, -1, 914925797, 192751466, -1, 620225952, -1, 857049655, 231717950, 169293685, 191515010, 575861325, 756846859, 464685886, -1, 559806353, 567286743, 558903236, -1, -1, 191654232, 320702270, -1, -1, -1, -1, 843097334, 175876148, -1, 434115072, 939228410, 603987812, 938598394, -1, -1, 375124618, -1, 852650874, 406776891, 494246956, 368675154, -1, 744070457, -1, -1, 733008318, -1, 839730557, -1, 498724759, 583479038, 240015284, 821983929, -1, 365015189, 3678874, 721924711, -1, 656382059, 716683340, 959266539, 989887714, 932176682, 145919388, -1, 211725709, 342032672, 639139054, 910355895, 44764036, 393764203, 99101673, 761985919, 949014474, 586445119, 959335637, 332351815, 580607402, 675084865, -1, -1, 480054839, 111572361, 664271004, 632365156, -1, 420008798, 829738396, 932404874, 135536883, -1, 494673101, -1, 312578047, 517209501, 968990105, -1, 833258691, 19043665, 196786548, 687652704, 81181472, -1, 383158932, 567764728, 116430642, -1, 647702539, 851229436, 170698418, 616259188, 223889068, 506365703, 408733254, 670171809, 586352463, 806604765, -1, 498702682, 150933426, 840176337, 808863921, 80657514, 493496846, -1, 97883052, 155863486, 734261092, -1, 86337367, -1, 290495440, 387221197, 936872474, 624104480, 459733352, -1, 894246668, -1, 857623208, 384987674, 706896155, 439188261, 625694535, 758952300, 53747934, -1, 67959642, -1, 943243636, 782345921, 504454999, 138584754, -1, 730182769, -1, 813055497, 575423855, 820884772, 249094939, 418294987, 841757396, 972276708, 133555458, -1, 302598878, 652425775, 774011766, 71455880, 236138876, 163686526, -1, -1, 60504394, 60462915, -1, 884356206, 166310577, 318797494, 788671440, -1, -1, -1, -1, 154279857, -1, 581590634, 411568436, 284931141, 801898964, -1, 55603354, 457748066, 120407011, -1, 415694100, 984124940, 143321207, 988749891, 209401744, -1, 379475238, 528063860, 134384315, 302113482, -1, 524248269, 878741687, 603875819, -1, 410055043, 549409911, 778817429, 414274408, 453055482, -1, -1, -1, 731984899, 455724197, 338600117, 726309013, 926872420, 956313677, -1, 780127304, -1, 331201960, 491236698, 445680688, 396254458, 190420069, 60859336, 245806375, -1, 965543724, -1, 680892157, -1, 770485048, -1, -1, -1, 275645137, 578314298, 867804707, 557516140, -1, 471134402, 286098922, -1, -1, -1, 951616076, 116211590, 517452476, -1, 411765481, 880890047, 191439381, 291467313, -1, -1, -1, 646430363, 79700859, 436607389, 686741919, 735916556, -1, 963815737, 337279648, -1, 603142519, 389782652, 621581558, 436396781, 632321985, 48670336, 774354569, 277687201, 331719406, -1, -1, 735628834, 137565670, -1, -1, 830891158, 505425756, 30112287, 126306372, 427668072, -1, 631554810, -1, -1, 750079265, -1, -1, 385217695, 455020310, -1, 238526352, -1, 913571430, 465335584, -1, -1, -1, -1, 701406933, 421057982, 768015165, -1, 576982900, 229348438, 741077216, 203191159, -1, 150991075, 132013838, -1, 334447242, 897237644, -1, 806963582, -1, -1, 739812486, -1, 177648268, 805052780, 261488742, -1, 564555386, 393759504, 680658955, 805469747, -1, 936242562, 438560861, 689905949, 678104402, 926435462, -1, 330906863, 913322366, 940774803, 188249278, 601496279, 304353368, -1, 491070008, 968181473, 584911259, 722674727, 298252654, 109591238, 52923225, -1, -1, -1, -1, 328266235, 319820249, 67999660, 481404197, 822133431, 975554230, -1, 803223672, 906285306, 881597108, 332571427, 789708797, 178340955, 11679895, 10622164, 963791956, 407117644, 315743137, -1, 938852555, 811309666, -1, 753782045, 573536847, 40033016, -1, 283671885, -1, 669002447, 233337897, 100395284, 548718545, 945361342, 206508102, 194124118, 732138499, -1, 389219005, 31327578, 948074437, 102130883, 273363378, 614709167, 714720604, -1, -1, 4493182, 141183588, 461232898, 130604997, 791832780, 143459723, -1, 527710383, 406452997, 272340197, -1, -1, 996586717, -1, 276182919, 268498365, 891143464, 924023459, 713140820, 476643841, -1, 881136198, 326083630, 105850571, 165043836, 743110385, 457989487, 107792561, -1, 557186873, 62595804, 945431387, 706539541, 265844158, 14024133, 322617144, 535340279, 709578867, 814075288, -1, 358317757, 379467560, 976674606, 386489723, 123783190, 201015227, 738389551, 366878655, 532693088, 371358788, 987450815, -1, -1, 549456920, 873974783, 189209109, 418051811, 79679845, 713360241, -1, -1, -1, 743698894, -1, 558803469, -1, -1, 483637455, 218760199, 909254037, 377808140, 245571035, 469537822, -1, -1, 786811959, 498200371, 786157201, -1, -1, 510915723, 22842738, 88682336, 497753484, 481874860, 102664134, 119080741, 253946406, 820592774, 728473108, 227260609, -1, 168502888, 699445908, 229474404, -1, -1, 905937284, -1, 109637933, 611170586, 743137590, -1, -1, 295631982, 379746646, 580736268, -1, 927689566, 880985504, -1, 369767153, 770719554, 519084129, -1, 892209494, -1, 941651027, -1, 611815557, 479411588, 749247350, 970466452, 872459898, 924683409, 29081957, 2305243, -1, 718735618, 201747568, 110057810, 241291012, 686884570, 685458992, -1, -1, -1, 201453072, 336613469, 866961262, 990082693, 193538256, -1, -1, 540834216, -1, 994946171, 252021553, -1, 855046285, 858424891, 125197411, -1, 876369224, 82740126, -1, 931628018, -1, 71286885, 677699112, 508317594, 281914887, -1, -1, 144287396, 941912340, 165708104, 881486163, 308140924, 445044854, 865295584, -1, 656210156, 350855860, -1, 728737622, 322647573, 300977143, -1, 873413965, 224503436, 52925188, 408853591, 487754962, 647937652, 730968469, 883318722, -1, -1, 661028275, 698143208, -1, 64221882, -1, -1, 569770839, 622784037, -1, 768170064, -1, 610736858, 950124547, -1, 144592375, 489191239, 184277692, 206880859, 232282310, 768334651, 323243314, 907821790, 791941698, 312070515, 385531493, 24188411, 232730390, 331696831, 268412794, 239205092, -1, -1, 290790898, 60326790, -1, 970519762, -1, 723407098, -1, 828621484, 500669954, 711969433, 416492880, 281081371, 789285896, 561514581, 37238095, 7715167, 24164123, 435960549, 405154621, 470185388, 339421393, 8420561, -1, 742298817, 818412627, -1, 860098224, -1, 535756489, -1, -1, 662478206, 268870000, 866776173, 121205291, -1, 762181656, 973673031, 231519074, 367300275, 487278361, -1, 59977381, -1, -1, 235456974, -1, -1, 950881675, -1, -1, 132390839, 655202034, -1, 493395426, -1, 5212773, -1, 833259000, 708576386, 153055788, -1, 52665972, 868786933, 283333219, -1, -1, 4043824, -1, 40493859, 371049947, -1, -1, 788288043, -1, -1, -1, 441131152, 418046305, 69020760, 525957337, -1, 560745866, 88962166, 293825882, -1, 964144838, 103553432, 239419913, 318790874, -1, 858716046, -1, 11894590, 879533048, 317309156, -1, -1, -1, -1, -1, 839409976, -1, 981601415, 734660871, -1, 181740561, 127268161, 876958780, 693230286, -1, -1, 738385064, 991929917, 272846104, -1, 849243779, -1, 455945440, 582613543, 737087007, 993734976, 802718430, -1, 52207934, 453681385, -1, -1, -1, 933028761, -1, 201080302, 270281990, -1, 287068864, -1, 684205900, -1, -1, 117078394, 892128055, 134721991, 412319117, 765447973, 718091847, -1, -1, -1, 497564265, 466525984, -1, -1, 519131889, -1, 441574258, 909738731, 803246653, 973978021, -1, 942624766, 699700430, 194005941, 323054115, 198732155, 631850666, 783394304, 436807906, 464437806, 687934153, 11458123, 354145892, 232308769, 163987215, -1, -1, 486958062, -1, 754185788, 498716901, 741433541, 775718523, 168612539, 5460488, 138464856, 399997983, 966502853, -1, -1, 57837758, 636214303, 212407209, -1, 695683641, 344731158, 594663463, 910520170, 148623683, 760894847, 207439922, -1, 254900060, 783139934, -1, 808200428, 984506560, 10567803, 994996217, 986692136, 635640317, 657340212, 735965252, 340708155, 946198973, 354283273, 781859399, -1, 500417711, -1, 990061957, -1, -1, -1, 458583618, 887361564, -1, 43391415, -1, 110393841, -1, 26259071, 27538698, 710906696, -1, 304270135, 359004916, 146714774, 368683119, 836253657, 543153818, 153928960, -1, -1, 873549344, -1, 505687008, -1, 657716342, 85630033, 749487667, 779541536, 971563016, -1, 145260427, -1, -1, 646667503, -1, 954384953, 412119669, -1, 253009215, -1, -1, -1, 822181883, -1, 70905812, 791271078, 10588966, 849824395, 594650689, 45613602, 784170110, 660042547, 251101457, -1, 507138433, 67052526, 894015405, -1, 791803903, -1, -1, 552858809, 926663768, 15349814, 677382824, 201481862, 491992853, 976586605, 360974573, -1, 894349899, -1, 140437347, 707385168, -1, 502916300, 176171654, -1, 523092876, -1, 835175221, 156256443, -1, 571475997, -1, -1, 939039229, -1, -1, 861131741, 912543013, -1, 992058918, 116531087, 562275768, 979101214, -1, 362600673, 952265943, 247332588, 758378711, -1, 458658646, 724211234, 248894561, -1, -1, 54987262, 461521300, -1, 526679478, 848319037, 904031664, 298783037, 293393406, 314118854, -1, 171880378, 780011900, 243392194, 78510677, -1, -1, 81715407, -1, 569442435, 332952368, 561331875, 567853485, 425487649, 162920571, 139621369, 903829142, 955998889, 110941179, 399054384, -1, 856423171, 386456531, -1, -1, -1, -1, 416019193, 816354510, 967864851, 343615859, 647842797, -1, 78734356, -1, -1, 863204117, -1, 504371248, 927127313, 763520820, 368520228, -1, 447051791, 167562144, 961172175, 660266315, 378766774, 984686105, 878309231, 673486695, 887670454, 259711533, 239240902, 193636229, 386263615, -1, 817884804, 833861548, 739135938, -1, 532550410, 535692263, -1, -1, 562721197, 943761355, 636562186, 655290219, 283493716, 842252875, 582831547, 57715234, 697783327, -1, 49692919, 878423004, 267918701, -1, 778036399, 673470521, 949404341, 66482683, 903035808, -1, 783314567, 647472541, 377979442, 628721210, 244644483, 219047289, 25251228, 309630054, -1, 59963546, 423504183, 993678606, 745135099, -1, 880594285, -1, -1, -1, 448882490, 636411321, -1, 532475197, 978395130, -1, 634567802, 896492145, 563485757, -1, 55870210, 559906470, 971015978, 992079830, -1, -1, 906305158, 328750657, 142947652, 850913042, -1, 944457616, 951647218, 516110691, 846412582, 735871268, 989109681, -1, -1, 83949320, -1, 704844861, -1, 673504610, 943607229, -1, 521994946, -1, -1, -1, 426665906, 31303407, -1, -1, 869663962, 313880598, 492181766, -1, -1, 946545987, 447374274, 872737628, 976321760, 774217782, 36147707, 678747214, 287619621, 51892085, 85494229, 716748604, 503317597, 237849094, -1, 277065435, -1, 776252451, -1, 463773889, 947659540, -1, 195220071, 488604291, -1, 838472847, -1, 167606530, 542248844, 311787345, -1, 447115749, 619844489, 784092212, 558800004, 974787844, 464185058, 26618686, 17652952, -1, -1, 976040234, 955506450, -1, -1, 988038298, 180628667, 676962715, -1, -1, 170522973, 726686499, 357298050, -1, 191085641, 706397866, 209440639, 877753533, -1, 634128192, 20192700, 673999425, 82858423, -1, 719116728, 384372849, 786525641, -1, -1, -1, 338628120, 853656687, 981410409, 587510893, 785746185, 24605889, -1, 557320356, -1, 663638956, 788119457, 169247095, 23842406, -1, 112817164, 617242150, 965278639, 706232818, 923837693, 796853052, -1, 408152768, -1, 500845078, 148664682, 720958519, 34053233, 143775816, 723344901, 177495435, 859457526, -1, 652946518, 767360171, 357184813, 297184937, 626016588, 232705756, -1, -1, -1, 603478395, 45449384, -1, 232270066, 458306190, 984423369, -1, 954724756, 262779023, 25022047, -1, -1, -1, -1, 292884524, 969130190, -1, 395418458, -1, 236008384, 253580940, -1, 316475002, 497760900, 680136168, 433599828, -1, 316196421, 515454185, -1, 863832213, 388538351, 985453769, 402202470, -1, 593807682, -1, 367623569, -1, 7598442, -1, 839312670, -1, -1, -1, 345737320, 143615431, -1, 638305707, 869628203, 97773658, 525539256, -1, 405198825, 868432197, 715572756, 416485517, 898667687, 107568788, -1, 617885274, 303154631, -1, 985098639, -1, -1, 267453446, -1, 15506643, 495696349, 936702621, 974339963, 244316136, 965528998, -1, 128524680, 164143247, 669380321, -1, 794388200, 5552142, 893441879, -1, 389488470, -1, -1, -1, 987531967, 997040087, -1, 213225096, -1, 321079704, 264278142, -1, 487552536, -1, 599879086, -1, -1, -1, 705949177, 732616434, -1, 495986804, 678624502, 41344524, -1, -1, 34720237, -1, 298094975, 555532982, -1, -1, -1, -1, 907381999, 765244514, -1, 36923630, 481050716, 872147919, 636882630, 190061309, 74642612, 539217569, 493110445, -1, 938362629, 781195924, 133672560, -1, -1, 607407914, -1, -1, -1, -1, 974226685, -1, -1, -1, -1, 661665834, 993980821, -1, 99868831, 695914034, -1, 274274209, -1, 973340115, 270992380, -1, 218204689, 450813437, 250107488, 304323403, -1, 319847988, 652816194, 672245648, 567734187, 40133806, 846964528, -1, 91184389, 431684691, -1, 896291035, 217546358, 646348883, 257983989, 460886141, -1, 270018350, 247864243, -1, 436842965, 35776810, 195882441, 940417907, 186970667, 796614353, 154009049, 702900553, 568309792, 796000088, 951257487, 409988853, 279898030, 158280322, 153962584, 519291692, -1, -1, 968495569, 960988648, -1, 457710465, 984985325, 651497025, 325134330, 527170981, -1, 560293798, 578718382, -1, 562276413, -1, 301672558, 187858903, 872822130, 89356820, 873572241, 12986900, 963017380, 264398100, -1, 119074920, 296749239, 491877672, -1, 549078917, 181321151, -1, 431422255, 582535467, 737932809, 739071146, 335800584, -1, 947270008, 739120600, 969498084, 178343859, 271663735, 337636698, 467822827, 467057769, 511954439, 949217850, 836917791, -1, 687062655, -1, 402476066, 654494617, 14044544, 648369187, -1, 235811240, -1, 799863464, -1, 395914831, -1, 24927450, -1, -1, 137132603, -1, -1, 200828365, 614545758, 475792275, 939418030, 786186778, 783834570, 601357316, 539290174, 291191575, -1, -1, 217758646, 719157397, 160716416, -1, -1, 573275004, 417276686, 932669857, 314434244, -1, 655088506, -1, -1, -1, 952568966, 618850237, 293515607, 849199505, -1, 912490549, -1, -1, 856528476, 130420636, 754769897, -1, 343601406, 247247726, 132666615, 29377896, 940410296, -1, -1, 920460585, -1, -1, -1, 799903134, 569213083, 825367604, 778341382, -1, -1, -1, 840456641, -1, -1, 358087773, -1, 901987602, 283352777, -1, 343648552, 782043976, -1, -1, -1, -1, 502411002, 578004150, 918861393, -1, -1, 346275456, 816730821, -1, 594945216, -1, 694573214, 339334159, -1, 379969278, -1, 705650695, -1, 841679562, 442555923, 551400073, 476939859, 81537842, 657951895, -1, -1, 892387467, 78114328, -1, 387147685, 255930955, -1, 811449232, -1, -1, 303014052, 828445891, 544890216, 595606781, -1, 659396980, 626936535, 514648090, 743621455, 984379771, 63075378, 731553, -1, 567177667, -1, 920526990, 420738138, 343382639, 69617521, 259384606, -1, -1, -1, 716623455, -1, -1, -1, 543905059, 48081396, -1, 936284661, -1, 596568276, 831900484, -1, 198720917, 361913457, 137135676, 388263657, -1, 638645608, -1, -1, -1, 10211832, 817114837, 202925260, 812915213, 862299336, -1, -1, 482700061, 897359663, -1, 107735825, 5013342, 70949182, 792974618, 237636158, 141404251, 388038203, 483663479, 31349003, -1, -1, 104661126, 992058918, -1, 968601331, 392356895, 292563947, 379399924, 167997398, 529602697, 358070866, 418713734, 246479734, 492422159, 11219635, 189468636, -1, -1, -1, -1, 213374315, 954029628, 415921899, 349600527, 412705025, 251521480, -1, 935520445, 510468832, 234953845, 736051418, 438093756, 513625275, 163132430, 572047499, 964974974, 580167108, 472491922, 408099185, -1, -1, -1, 650698732, -1, 59466378, -1, 768197550, 831033884, -1, 717829266, 21299037, 263950426, -1, 366221451, 34206554, 258637632, 763453834, 322590374, -1, -1, 276413420, 868963266, -1, 542009362, 529072597, -1, 14163353, 308848109, -1, 701690683, -1, -1, -1, 291234753, 693856510, 207989022, 714991810, 196467607, 220099634, -1, 966624340, 31613256, 969225917, -1, -1, -1, -1, -1, 340325525, 604961043, 675873531, -1, 537454146, 503147450, 925093837, -1, -1, 182899652, 206482763, 987607725, -1, 770447998, 271420532, 745436150, 821931079, -1, 111728419, 821715820, 133780277, 835893873, 405271673, 376565215, 315151327, -1, 369677939, -1, 702943114, 906760155, -1, -1, 308057321, 418675988, -1, 572373520, -1, 558878843, 415553586, 895908566, 583234898, -1, 508515623, -1, 863946240, 258863067, 137240518, 936741799, 956844012, 505634091, 408666803, 740732489, -1, 209134263, 679457170, 517308108, 516283058, 443351152, 805763536, 56323406, 191504576, -1, 131172889, 412659998, 636097722, 781643221, 243194218, -1, -1, 255607080, 365879658, 966072878, 135731548, -1, 275356311, -1, 264943044, 993707128, 416557376, 733867917, -1, 75502250, 615934918, 342275917, 567303328, 753246516, -1, 186629922, 709340901, 370069482, 369503676, -1, 860976262, 892613822, 525191518, 573681415, -1, 557062692, 451171135, -1, 772195236, -1, 853342785, 386776771, 273070868, 796295064, 614448683, 526573417, 325886621, 383018318, 392792494, 29166257, 930375477, -1, 238455628, 578162341, 614717722, 923510772, -1, -1, 660432843, -1, 322432265, 763773015, 707080985, 576710908, 444500030, 397545108, -1, 781754679, 609800490, -1, -1, 907095454, -1, 1298723, -1, -1, -1, 881507526, 602554955, -1, 960365257, 41568655, -1, -1, 208153548, 243503745, 132232382, 257857230, 94155009, 4719566, 538505235, 782177376, 796273624, -1, 934697176, 621130709, -1, 221747651, 981134934, -1, -1, 950381364, -1, -1, 97410207, -1, 142571717, 817972848, 409222314, 872594750, 573989123, 966169654, 938418392, 737754679, 317754780, 135460046, -1, -1, 110620216, 957894487, 558522091, 367497004, 924501603, 23868116, -1, 97091011, 396883965, 579785785, 346686135, 533945711, 57032321, 540727801, 293907819, 858852591, 369513573, -1, 241260813, 772255442, -1, 679932698, -1, -1, 84050708, 900352359, 166454134, -1, -1, 508062056, 642538214, 871546958, 43942599, -1, -1, 31412534, -1, 426725614, -1, 944131010, -1, 187162964, -1, 772513323, 468766951, -1, 945110900, -1, -1, 719991961, 186061565, -1, 567447316, 803554990, 648408422, 317095556, 279858524, 604139047, -1, -1, 385916250, -1, 528951778, 296960170, 743834729, 842639966, 832795505, -1, -1, 787593317, 400770766, 700219481, 38466825, 500423556, 538435976, 244689884, 576793155, -1, 506949793, -1, 334928038, -1, -1, 268269289, -1, 872976279, 221051865, 249951777, 540179993, -1, -1, -1, 689145860, 28366365, -1, -1, 777002169, 442951548, -1, 69585111, -1, -1, 773380312, 276597622, 921156014, 757903426, 782349093, 363130330, -1, 896264503, -1, 611115886, 461244747, 237841744, 532831216, 348382450, 7456020, 977698389, 608979172, 429457805, 34732, 297303556, 349357068, -1, 505235922, -1, -1, -1, 158677324, -1, -1, 567401256, 207927172, 332444464, 136732733, 133332920, 569762867, 539177520, 39852194, 389118608, 666019552, -1, -1, 49152777, 624579100, 831242424, -1, 938173561, 692322664, 986328040, 464111757, 337184018, -1, 183523527, 530038215, 905549515, 324328993, -1, 452023851, 532187129, -1, -1, -1, 982175626, 470743921, -1, 51589374, 632064234, 670130960, 624958682, 867333486, 812962291, 229285257, 511191447, -1, 18148375, 384419189, 385020987, 33025340, -1, 414622148, -1, 276191079, 834079729, -1, 166330387, 41162384, -1, 743090842, 919572834, -1, -1, -1, 702152829, 260855176, -1, -1, 72534383, 806363861, 813801606, -1, -1, 79716388, 76404908, 512396664, 200513487, 986019769, -1, 889762893, 727471731, -1, 597511947, -1, 166473032, 598694580, 676678302, 773747471, 175813340, -1, 554736515, 488608570, -1, 874179064, 421736973, 21873899, 489515252, 67771895, -1, 971470046, 413537194, -1, 13402074, -1, 768203562, 488360886, 191397450, 957607910, 676759999, 749132372, -1, 547353844, -1, 686383965, 132588874, 875194736, 316017604, 88284214, 245324617, 970996512, -1, -1, 203804973, 400970213, 307347253, 251446840, -1, 927867151, -1, 184721338, -1, 12166102, 508233325, 666749480, 588917610, 567145133, -1, 225515400, 416641959, 347347277, 942018671, 255583189, -1, -1, 316244072, 65583461, 149998048, -1, -1, 407351316, 724710869, -1, 383238809, 75135059, 657463228, 423137745, -1, 7588945, -1, 633431504, 203644069, 832511791, -1, 533098343, -1, -1, 701505882, 736312143, -1, -1, 113935549, 34819458, 955522692, 89362842, 146795377, 786882614, 624606441, 547184374, 971481843, -1, -1, 473281200, -1, 987411977, 329326156, 60221241, -1, 898140520, 895961220, 106140360, -1, -1, 845976127, 413037591, 752452135, 477463409, -1, 530941086, 770882416, 764463579, 112900787, -1, 486905126, 284487524, -1, -1, 684290566, 188130602, 709173849, 826403413, -1, 353706050, -1, -1, 187702876, -1, -1, 504789371, -1, -1, 4467769, 451607560, 803384535, 451254116, 262840251, -1, -1, 898820538, 315672304, -1, 785133392, 187642732, 569653279, -1, -1, -1, 809982403, 570640125, 852164888, -1, -1, 527631309, 947767118, 816315050, 593022126, 948765422, -1, -1, 709570862, 539698628, 866650438, 558979705, 11438501, 149762305, 140991408, -1, -1, 978400673, -1, 979802403, 289093804, 854864854, -1, 877376570, 941310056, -1, 174144849, -1, 666537767, -1, 486448050, 663624209, 937585788, -1, 265545225, 505395318, 866741183, 743181532, 757416278, 668242107, 66154616, 45065027, -1, -1, 400267264, 532224644, 503654578, 880389691, 910757043, -1, -1, 772800743, -1, 484191628, 481644853, -1, -1, 871349811, 214366259, 484157780, -1, -1, 891639773, -1, 808273539, 213331392, -1, 754070922, 153309051, -1, -1, 312457876, -1, -1, 893482392, 29413707, -1, 663131075, 596690359, 441405147, 296252128, 157880300, 702137801, -1, -1, -1, 680918862, 683187420, 914388302, -1, 664543587, 145311431, 387743986, -1, 139663172, 241503614, 613450416, 927483612, 824557993, -1, 586535156, -1, 253807795, -1, 187137679, 806140969, -1, 14067039, -1, 807000066, 30401212, 466021473, 322228359, -1, 536917349, -1, 279501457, 637671312, 175531719, 747722900, 182798383, 508068511, 309203958, 994231142, -1, 250621642, 773160018, -1, 353284261, 437926012, 850320531, -1, 81692000, 45162811, 979479420, 686864432, -1, 682963352, 56727853, 207119908, 317864589, 337207952, 766004374, 824946505, 143862030, 330315219, 801634870, 812238473, 889854475, -1, 690670386, 710373241, 489955699, 714382754, -1, -1, 636834139, 221372129, -1, 537732350, 317751883, 572309937, -1, 597346252, 981135179, 95632006, -1, 997805221, -1, 696986402, -1, -1, -1, 494450734, 768690617, 653034061, 403589955, -1, 380961205, 88788859, 847390246, 891810331, -1, 649473691, 606143523, 354502137, 131640409, 482837911, 7473445, 642110548, 464398779, 717998764, -1, -1, -1, 980649919, 455169795, 235872640, -1, 123089758, -1, 838773565, 692184658, -1, 655786326, 426879253, 588162359, -1, 668492541, 283861232, 676372877, -1, -1, 906700280, 840114355, 459645492, 701636843, -1, 813730064, 411003238, 612982567, 103412252, 422598919, -1, -1, 612451506, -1, 867995260, 732691462, -1, -1, 46626002, -1, 629147261, -1, 642442124, 618562950, 957068443, 481338629, 750594882, 354728280, 545489028, 223223450, 137312270, 96733551, -1, 343556429, 297111999, 869123212, 286704205, 984713305, -1, 387051417, 258888441, 149063592, -1, 855828079, 427131421, -1, 645721781, 864824390, -1, -1, -1, 450145642, 333989803, 656076475, -1, 104240746, 750993408, 956629609, 624195669, 30887121, 649205535, 603243662, 115934705, -1, 159252821, 750993410, 203182186, 15020230, -1, -1, -1, 239164103, -1, 698076226, 154855213, 908931593, -1, 766168750, 643161854, -1, 355792226, 88116846, -1, 792334755, 354307164, -1, 998550921, 168409500, 29107478, -1, 606451710, 243813134, 705383917, -1, -1, 728556184, 957358680, 67915123, 732260749, 24798269, 550416447, 670295484, 121954315, -1, 989980210, 643934781, -1, -1, 883268040, 936448886, 194220436, 916033455, -1, -1, 841592832, 976589027, 766116518, 514032510, 789309867, 901329173, -1, 59017719, -1, 831154000, 501342206, 880577881, 139632938, 342464934, -1, 873493028, 548276312, 661706039, 731731510, 935615542, 239937925, 184587237, 749345951, 84077531, 275772021, 136458830, 923743482, 441995144, -1, 828946866, 491053734, -1, 71404437, 364436904, 455947521, 283385175, -1, 48030892, -1, 671719247, 831547980, 581364714, 439017104, 600113109, 3815728, 629114, 327773522, -1, -1, 155397112, -1, 702127163, -1, 191110870, 590110208, 202474627, 305864406, 582835974, -1, -1, -1, 350548020, 269319366, 886912695, 742021513, -1, -1, -1, 399070316, -1, 614101277, 453048071, -1, 999614727, 920709316, 964198237, -1, -1, 970566359, -1, 727716696, 255087807, 858636301, 192672866, 567992050, 579802155, 781386053, -1, 925565330, 535415715, 456489758, -1, 470307372, 69938902, 807645183, -1, 885180336, -1, -1, -1, 333684951, 780539048, 383007223, -1, 508107272, -1, 47956070, -1, 655128730, -1, 657984131, -1, -1, 795518907, 450951873, 682050420, 470167906, -1, 104984835, -1, -1, 605398484, 989012792, 145704845, 193046524, 128331296, -1, 605915293, -1, 973158525, 246211177, 886855763, 872732950, 887329669, -1, 987642908, 525069036, 106190552, 729032331, 198403286, -1, -1, -1, -1, 567165774, -1, -1, 593398166, -1, 345268790, -1, 940668852, 704380894, 670957489, 25063832, 913248458, -1, -1, -1, -1, 49969225, 939672411, 490100880, -1, 960594128, -1, 472693925, 411829316, 490790238, -1, 616385507, 791947495, -1, -1, 83351263, 86605441, 160257224, 576589825, 787953517, 879869391, -1, -1, -1, 305722575, 420296648, 193986602, -1, 85481769, -1, 920041770, 867610471, 650951651, -1, -1, 906293936, 72697464, 409722073, -1, 607380648, -1, -1, 973430782, 711729487, -1, 204751351, 420749068, -1, 401234406, 439462238, 8958346, 621917591, -1, -1, 888232739, 332106357, 959569526, 105174861, 989116105, 655572102, -1, 48928647, -1, 29920388, -1, -1, -1, 361792065, 367623688, -1, 125406933, -1, -1, -1, 272093429, 493759217, 886667019, 937470161, -1, 589257545, -1, 880437144, 439364839, 524574423, 543429960, -1, 624638865, 447629425, 870990871, 448522744, 661878555, -1, 143790437, -1, 935764430, 303006620, 908929178, 825503621, -1, 75340627, -1, 505848913, 441614642, -1, 931235440, -1, 112961595, 707641375, 239300223, 383932404, -1, 648999767, -1, 598961488, 992693660, 773508286, 948986880, -1, 82870950, 339143454, 89079474, 700773656, 609614731, 680656860, 758402118, -1, 946377675, 118353902, 730961899, -1, 511664616, 945112365, -1, -1, -1, 286215788, 275370361, 490803142, 660210978, -1, -1, 710873795, 247899794, 475205973, 346717543, 424445165, -1, -1, -1, 615585724, -1, 112564100, -1, 159761240, 677049075, 551452714, 273789757, -1, 629458709, 146154677, -1, 4123818, 283079619, -1, 40610630, 267683070, 648498386, 576921883, 788644034, 154406052, 221365469, -1, -1, 958480779, 508174285, 98779536, 182935008, 993367631, 319466586, 187947778, -1, 155013102, 860349473, -1, 160533252, 284062618, 507917312, -1, 777772145, 20933292, -1, -1, 772519924, 605303335, -1, 434156374, 738200239, 756830625, 101635825, -1, 874043662, -1, -1, 211399253, 351376753, 719923972, 814006684, 950149662, 780878383, -1, 31523738, 196374934, 603807737, -1, 94866015, 735111067, 909434796, 11099406, 153201577, 309953797, 263459535, -1, -1, -1, -1, 534308215, 818052438, 419286539, -1, 435824111, 660992406, -1, 492327971, 549285568, 379932668, 410908411, 191756100, 491197601, 375578372, -1, 80735276, -1, -1, 238671018, 312519659, 883184169, 562581595, -1, 199228695, 850053731, 888114816, 236147218, 491054275, 84939837, 18391867, 5459237, 337153376, 396495214, -1, 303496519, -1, 422294825, 114232149, 34548590, 224990397, 234238180, -1, -1, -1, 723407262, 595460309, -1, 116600662, 961408106, -1, -1, 799723436, 925622249, -1, 834069259, -1, 556796524, -1, 379224793, 791738860, 656802622, -1, 465708832, 569142805, 475779875, -1, 369571287, 383979072, 915932174, 505036905, 905532850, 75601353, -1, 493672664, -1, 190142671, -1, -1, 918798499, 260978324, 569340343, -1, -1, -1, -1, 753533143, -1, 800114313, 353875574, -1, -1, -1, 724987648, -1, 264464354, -1, 532412330, -1, 331176255, -1, 429308136, 590439175, 484764354, 446621610, 638645364, 319584727, -1, -1, 632453253, 206239156, 930796256, 65219588, 771524475, -1, 876155514, 136813081, -1, -1, 941591065, -1, 846737738, 135397547, 617829928, 699200421, -1, 501276438, 911594650, 814339863, 916037056, -1, 747853166, 844247572, 436120981, -1, 880805411, 908127602, 150526405, 581723075, 142769805, 240657107, 185404931, 879353572, 609602011, 430195160, 328543634, 124371565, 223515944, 450038289, 293111012, 786883517, 891233224, 591223462, 937261213, 486533782, 567805648, 686985751, 365411577, -1, 617573113, 81997403, 598191564, -1, 69639852, 773460050, 126366827, -1, 789275762, -1, -1, 947675860, -1, 611944109, 479895846, -1, 837132772, 372548400, 843274825, -1, 83862840, 38014548, 475362331, 479945986, 24839833, 993239703, 172616469, -1, 347383511, -1, 493322997, 751524688, 585115824, -1, 755338107, 596870398, 260324406, 823842073, 715325717, 329133178, -1, 545925784, 32695389, 121059517, -1, -1, 311880740, 816918096, -1, 638919645, 91007729, -1, -1, 619859730, 360111791, 839510741, 86728876, 977456755, 130866860, 510465090, 297263960, 995344798, -1, -1, 131471069, 388799695, 590181663, 476638483, 429530265, -1, -1, -1, 444966303, -1, 661730585, -1, 182115640, -1, 939133036, 44040307, 431850435, 921772563, 437178518, 467554108, 530290714, 142315632, 638226381, -1, -1, 454073726, 756097924, -1, 907916663, -1, 437966177, 874942856, -1, -1, 233574949, 403585112, 487795773, 342314849, -1, 381777437, 938728222, 977851319, -1, 402041019, 48926372, 887436647, 272764122, 847123191, -1, 582149061, 956865473, -1, 375345565, -1, -1, -1, 511210166, 706467330, -1, -1, 636650871, -1, 951427379, 143808192, 928243723, 789330023, -1, -1, 510565666, -1, 667625716, 514449696, 282477766, 569842631, 910289099, -1, 444005424, 157439147, -1, -1, 429928654, 757211621, 151402477, -1, -1, 583915183, 330952036, 255541985, 347058241, 951666832, 899592576, 819137418, -1, 911606288, 430376867, -1, 471020481, -1, -1, 959160993, 344197565, -1, 315913326, 391959153, 76000602, 927453573, -1, 573707176, 405707866, 747597226, 959976320, 797025538, 737634980, 971558698, -1, 508765899, 567074383, 608226067, -1, 815824263, -1, 639607497, -1, -1, 357277337, -1, 396969327, -1, 335469935, 682040960, -1, 26092870, 281744389, 952337432, 934090291, 442766142, -1, -1, 908988081, -1, 939195103, 631570609, 98973131, 516141324, 176583645, 777608372, 604146790, 960634649, 741641068, -1, 557671525, 75363466, 31230828, -1, -1, 360751409, 530001542, 520443073, 473975831, -1, 258549523, -1, 83989958, 794837242, 315493565, 779736369, 699787010, 458538796, 361891648, 413082278, 734801761, 938917254, -1, -1, 662596108, 923911648, -1, 793622674, 764710145, 866116519, 645782493, -1, -1, 625231953, 3513621, 441563243, 147484991, 939901630, -1, -1, 738251911, 517870081, 378151289, 252819117, 640856640, 484995888, 524409991, 802536201, 894850960, 430364498, -1, -1, -1, -1, -1, 603893688, -1, -1, -1, -1, -1, 462548789, 790991597, -1, -1, 709343215, 806506251, 742893859, -1, 815386932, -1, -1, -1, 990503799, 58330838, 727112894, -1, -1, 521347206, -1, 370663185, -1, 670115244, 532848984, 81223865, 787868696, 620693436, 966205952, 376063517, -1, 268913729, 258294799, -1, 89005109, 868597613, 271600486, 111676817, 790085983, 768200020, -1, -1, 90276600, -1, 793145691, 606001577, -1, 285048695, 374956884, -1, -1, 512737367, 369314655, 912873829, -1, 193323603, 269690252, -1, 364377842, 319445552, -1, 444751923, 840505406, 128030242, -1, 518458784, 865360206, 391287112, 613333287, 33262611, 765145193, -1, 827771402, -1, 689960357, 929826752, -1, 710446351, 735779074, -1, -1, 651275710, -1, 985669975, -1, -1, -1, 474113523, 551765000, 100160402, -1, 891236986, 970738231, 766585301, 831213293, 343563674, 11218483, -1, 960542059, 385971548, 598045089, 160625590, -1, -1, 69402208, 377923568, -1, 752269955, 495581512, 415574453, -1, 373074905, -1, 524225649, -1, 208649623, -1, -1, 589450558, 701986516, 796478683, 677794038, -1, 849410421, 654221090, 747327365, -1, 299975304, 633366567, 87695053, 399000562, 129646178, 80869989, 721275691, 747792560, 178542629, 647207479, -1, -1, 410933050, 106912760, -1, -1, 959267322, 885588612, -1, 53086436, 173061583, 926672186, 726573983, -1, 744395736, -1, -1, 515947392, 266507188, -1, -1, 753545171, 337830116, 676787735, 893840672, 771125168, 488227096, -1, 919226172, 510666290, -1, -1, -1, 901801042, -1, -1, -1, 608710228, 438877196, 360819865, 939390510, -1, -1, 986300951, 83164870, -1, 15040192, 891601324, 492334789, -1, -1, 907883052, 482730309, 132237793, 556129996, -1, 113069096, 454675602, 472887281, 781630568, 120354204, 585637717, -1, -1, 332832438, 117383951, 160569880, 600164250, 986985658, -1, 424969364, 101189427, 995118578, 375840782, 455045885, -1, 628177640, -1, 871435910, 231578857, -1, 723176894, 468196603, 748268609, 212775524, 19888824, 366192255, 850739866, 880753632, 890243787, 457979017, -1, -1, 287256264, -1, 559226038, 324571139, 764276176, 649303899, 143394636, 125709154, 94682729, -1, -1, 320241156, 84881738, -1, -1, -1, 940236366, 58571597, 110235084, 508461626, -1, -1, -1, 657529833, 482673960, -1, 767915960, 575878711, 237490204, 26818062, 5502955, 304764621, -1, -1, 564108574, -1, 624639811, 598451971, 468172268, -1, 21640097, 765641356, 501030988, 338173006, 25418007, 296112924, 821270859, 405865921, 866994331, 199071423, 517396867, -1, 465464598, -1, 905798970, 193084637, 519999754, 364949089, 994500932, 889889973, -1, 939419189, -1, -1, 561301019, 685777239, 86555399, 263487159, 273973567, 209255842, 95371719, 676906024, 150967569, -1, 504983341, -1, 380329476, 954118199, 560232008, 892434777, 626126709, -1, 890233052, 309202603, 474176683, -1, 840511088, 192035845, -1, 371637355, -1, -1, 647082406, 327818596, -1, 225472081, -1, 487508768, 925501871, 396810751, 319412666, -1, -1, -1, -1, -1, 348689538, 333031299, 85862497, 747409675, 688870300, 256406731, -1, -1, -1, 840236030, -1, 524984360, 341866529, 852813830, 692702785, -1, 125257161, 831454529, 737914939, 688134753, 86720583, 544637929, -1, 211980176, -1, -1, -1, 559135462, 636107049, 647833894, -1, 402501084, 372818871, 195589871, -1, 50460722, 123184787, -1, 971817589, 211467933, 489610368, 571775128, 156602463, 669346065, -1, 445159385, 222390712, -1, 816168872, 864242750, 65083233, 877028342, -1, 570674866, 226050095, -1, 26199939, -1, -1, -1, 311847289, 951331933, -1, 351821085, 443335749, 888753547, -1, -1, -1, -1, 742145756, 315446889, 538565803, 112846754, -1, 401702984, 96851964, 388128501, 189396464, 937210930, 733390968, 874226982, -1, 765732194, 812019830, 729540633, -1, 12127045, -1, 55928686, 267541894, 805022002, 43129395, -1, 834960606, -1, 318369788, -1, -1, -1, -1, 165157721, 996802109, 149770788, 94266809, 282293370, -1, 421657388, 965489610, -1, 357317946, 567084292, 675069334, -1, -1, -1, 833148154, 338840183, 4348699, 160231860, 849318694, 796816903, -1, 513321649, 536947617, 125182172, 363256321, 886694741, -1, 307585079, 38025821, 894493501, -1, 923827903, 620236351, 431285842, 963369297, 223480579, 944409289, -1, -1, 631088020, -1, -1, -1, -1, 800337673, 737529496, -1, 565734023, 375601214, 289362698, 292293366, 667663125, 88910014, 610442580, -1, 701907174, -1, 648484925, -1, 709696554, 463727624, 656698038, 703636097, 446814932, 847884434, -1, 802661552, 796518927, -1, 633874314, 973518333, 609535659, 350243101, 9155443, -1, 857134426, 71623076, 188895448, 644684990, -1, 139987481, -1, 463301762, -1, 610686760, -1, 467403416, 62316492, 797390587, 681920654, 272660836, 709682391, 210358093, 626328193, -1, 990678689, 622885404, 62176431, 409475643, -1, 82695394, 493226401, 645533238, 524899303, 113180215, 786208988, -1, 240777255, 637263944, 581123813, 695059477, 846359380, 905098949, 403652664, -1, 801845855, 625685390, 497929115, 750551736, 489628819, -1, 833605553, 381256638, 497017227, 98292616, 544356136, 853390951, 122622236, -1, 299916183, -1, -1, -1, 941924383, 926364838, 78046268, 54301221, 956855704, 96098047, 448929650, 173472858, 259731573, 641449428, 257734756, -1, 727752344, 52017638, 980954806, -1, -1, 88860415, 171562400, 417496553, -1, 758255347, 999909348, 270432135, 128386495, 898219163, -1, -1, 666523582, 976376627, 963614975, 828048524, -1, 425705878, 100179413, 673651530, 73833163, 520184860, 24249304, -1, 803743212, -1, 978454787, -1, -1, 782799326, 189421466, -1, 251802489, 469153401, 696029214, 156846865, 153412923, 51573983, 799063039, -1, 911442771, 905087707, -1, 295661459, 604922470, -1, -1, 93554912, -1, 904185049, 550838867, 488439669, -1, -1, 1803058, 393050460, -1, 507878924, 772861913, 136878139, -1, 787018894, 95858273, 900331159, 619212887, 125089810, 460971849, 277355483, -1, 317476441, -1, 740388949, -1, 918875814, 31779477, 323108611, -1, 828221912, 454820410, 795195465, 844020002, 989353840, 598631544, 476007365, -1, 1361878, 126853919, -1, -1, -1, 651371888, -1, 891543824, -1, 386552879, 506375604, 123967806, 14004595, 445675861, -1, 132961895, 790030377, 131539168, 578423513, -1, 162785664, 277534780, 647325820, -1, -1, -1, 314729771, 668793790, 413396659, -1, 11149016, -1, -1, 660333686, -1, -1, 267476444, 280981510, 557506124, -1, 188634957, 865580354, 509244455, 289052469, -1, -1, 814041105, 381937266, -1, 760410727, -1, -1, -1, 655865774, -1, 119746307, 52679316, 968228123, -1, -1, 607004664, 20539642, -1, -1, 516712133, 417618407, -1, -1, -1, -1, 366670461, 247486256, 777551870, 721695319, 841524825, -1, 326988836, 100420031, 887317807, 638527263, 564786241, 567923970, 452362285, 881748574, 813532089, 88825125, 862793588, 42954760, 413415178, 903881466, 468784089, 936435741, 604693536, -1, 921100082, 663610296, 648043490, -1, 550610369, 454773665, -1, 112170857, -1, 794276843, 297998752, 287169701, -1, 239608222, -1, 692708169, -1, 668309760, -1, 117130757, 303769031, -1, 391974976, 884348141, 80663140, -1, 256672692, 802768792, 896939879, 392188678, 505073361, 724101564, 610538685, -1, 422172957, -1, 183597657, 336648395, -1, -1, 153086658, -1, -1, -1, 980354754, -1, -1, 709688720, 582026672, 202660207, 429835136, 522593155, 474714949, -1, 959078543, 144300988, -1, 87108478, 652674562, 944891783, 481274140, 792454400, -1, 569833705, -1, 796289405, 47647020, 674148624, 320088136, 274728767, 620185209, 871262990, 428839072, 776237960, 411668299, 709090989, 343140312, 9491871, -1, 901006586, 416343351, 688261844, -1, 933677055, -1, -1, 969991417, 3727981, 427139017, 593873018, -1, 557843455, 531400685, 761467580, 41805089, 90542668, 839387379, 341451028, 893881910, 123836284, 32777831, 500072390, 610078375, 491078236, 853671496, -1, 588833261, 989046051, 436072787, 937689412, -1, 785653550, -1, 100816461, 15522412, 98323237, 133015149, 371748659, 864927735, 935455530, 325109939, 377386326, -1, 343399716, 675410986, -1, -1, 121745273, 442925115, 847802069, 922614246, 323158118, -1, 192493749, 954917693, -1, 627381816, 205791719, 837031359, -1, 490758712, -1, 545191434, 989252159, 720095961, -1, 193648082, -1, -1, 422656336, 802885052, -1, 637970158, 472935160, 889301394, 641645048, -1, -1, 727350540, -1, 264144864, 548580853, 260883475, 425320049, 749821294, 723919824, 694521495, 307669889, 37192862, 126109413, 152354160, 438622183, -1, 856398761, 160134258, -1, -1, 932636860, -1, -1, 308883672, 649038842, -1, 543199242, 310419011, 108847315, 992872268, -1, 317325215, 71218641, 166331132, -1, 477078775, -1, 594994861, 865651479, -1, -1, -1, 347911290, 223560092, -1, -1, 524857048, 417427079, -1, 620042493, 164429315, 758949580, 571049353, 879621731, 107822209, 488797940, -1, -1, -1, -1, 848577238, 234722942, 841668380, 176708290, 250712010, 633026569, 769353950, 910539840, 263611591, 812611629, 450106016, 146358978, 431911691, -1, 22429509, 945573614, 791994714, 368605078, 891628002, 4848515, -1, 170220318, 975112465, 763163818, 565558563, 214045021, -1, -1, -1, -1, 461660555, -1, 687365941, 970518852, 548704016, -1, 148752543, -1, 157196023, 295560438, -1, 94748143, 641834290, 551969456, -1, 252942935, -1, 484325016, 259789482, 430264687, 323712947, -1, 70573977, -1, 852058574, -1, 104236409, 438723847, -1, 580489004, 200491244, 75612112, -1, 540653896, -1, -1, 904083801, 776344321, -1, 455024408, 946815445, -1, 720851549, -1, -1, 607382730, 188379769, 886554321, 189787806, 15139663, 651116434, 81674295, 476505276, -1, -1, -1, 619540699, -1, 721692934, 617844066, 777740597, 288181602, 256752179, 410216120, 654262187, 822960956, 167659802, 192095011, -1, 537767053, 800930333, -1, 265647128, 198323932, 843371299, 350726590, -1, 663038051, 502855775, -1, 914559699, -1, 601164817, 127367331, 167886586, 7022170, 715164457, 421843877, 264329789, 806009759, 1962536, 897776492, 353866150, -1, 111365532, 256165781, 753972633, 101237616, -1, 722778897, 872393940, 371941386, 12703658, 725695164, 964893172, 822441677, -1, -1, 200148155, 185593360, -1, 298691854, 906177229, -1, 820905457, 587829227, 857674031, 825385814, 388615128, 863544420, 540259408, 210111189, 420487299, 18933411, 254276718, 547194917, 798882759, -1, 141273458, 134344396, 2690906, -1, 3043466, 571249898, 602352681, 983783923, 420249690, -1, -1, -1, -1, -1, 772094645, 237828882, -1, 777242842, 487300074, 528271822, 711984542, -1, 235618080, -1, 949261942, -1, 519438786, 679416892, -1, -1, 433629922, 562836160, 102889050, -1, -1, 329980620, 536727519, 486185817, 10499583, 903932889, 303035268, 536787827, 621756691, -1, 443968365, 416561889, 458463066, -1, 830829366, 611636191, 485793582, 860787964, -1, 90061578, 537248458, -1, 719103421, -1, -1, -1, 671184528, 7003149, -1, -1, 212734836, -1, -1, 198398045, 181965944, 887033977, 451741357, 133990940, -1, -1, -1, -1, -1, -1, 883164362, -1, 490321060, 221204369, 597541103, -1, 380205997, 574305070, 415377065, 851071243, 510738526, 912021266, 938459834, 233328409, 84763415, 967432344, 107491186, -1, 352456436, 675631107, 218379675, 437444236, 582979365, -1, -1, 970132849, 865300104, 240507926, 349774329, -1, -1, 489908183, 348556730, 472488983, 472632858, 56456019, -1, 994221940, 652131115, -1, -1, 255949533, -1, 283626136, 274448912, -1, -1, -1, 212295173, -1, 301688153, 371167287, 236908888, 661589001, 36552313, 248595288, -1, -1, -1, 909134395, -1, 585039182, 71860839, 952644422, -1, 744788292, 966908196, 309042744, 871227380, 528875365, 199930744, 735635826, 853381264, 479963284, 383163584, -1, -1, 710423095, 394376468, 106244974, 275069368, 96425487, -1, -1, 505688611, -1, -1, -1, 297966671, 515848609, 374586776, 287892143, 619289320, 930456900, -1, 549290099, 195435635, -1, 603816584, -1, -1, -1, -1, -1, 823199123, 527273134, 373719448, 408565499, 536098035, 33773236, 761809037, 781160884, 419932644, 860564866, 742551318, -1, 884282222, 154982258, 466956162, 219276301, 993160075, 655212945, 928927252, 326173231, 876374433, 711361455, 275990866, -1, 253958174, -1, 9458324, 751599602, 757135839, 951237231, -1, 254642101, 111658771, 645280898, 313981084, -1, -1, 311116110, -1, -1, -1, 609363530, 279573533, 455057373, 665911525, 793481119, 844396851, -1, 43666317, 382565409, 92581422, -1, -1, -1, 693876863, 682291440, 504366904, -1, -1, -1, 280088320, 803439895, 267369074, 209852599, 812012447, 483770936, 211637371, -1, 876965986, 470021843, 914609713, 525519652, 816145766, -1, -1, 590206000, -1, 883090599, 889480125, 655185951, 411941936, 457768515, 55832434, 224148057, 913520767, 590186375, 596088017, 170970792, 473108663, -1, 204129841, -1, -1, 231572324, 594017997, 491321692, 270602228, -1, 302944655, 652024930, 286023189, 645212579, 35548557, 247910842, 961568802, 922347401, -1, 657669892, 271572018, -1, -1, -1, 653613304, 864090910, 71733957, 395038019, 763657794, -1, 727483980, -1, -1, 253641663, 818730859, 438952788, 872935681, 826192104, 9152351, -1, -1, -1, 871621100, 267211949, 362122892, 660052855, 417973688, 573353939, 92461782, 733210223, 155529973, 108947844, -1, -1, 163682112, -1, 187016681, 684311819, 76055916, 364010880, 106407702, 664098047, 283566782, 738988387, 465924000, 362450538, -1, 366607728, 975716493, 845825583, 298504721, 224972870, -1, 358523899, -1, 767996800, -1, -1, -1, -1, 173413684, -1, 577175585, 3009121, 937997637, 976985962, 17855380, 518162002, 572501254, 748379456, 937021248, 37026164, 156318828, 310297739, -1, 389150577, 709572072, 340905459, 718318716, 592090523, 277168897, 268926642, -1, -1, 356604523, -1, -1, 746175788, 800029145, 586193462, 116065399, 769934898, 347479358, -1, 826399203, 883012957, 768009439, 175560197, 762961709, -1, 347948361, -1, 245146464, 491276477, -1, -1, 349249437, 521119605, -1, 473307554, 273105238, 202602552, 809042980, 937234224, 303663262, 338068023, 47549578, 684898010, 694494706, -1, -1, 990358157, -1, 333293766, 532985713, -1, 385967062, 681667305, 897681, 629266233, -1, -1, -1, 118499205, -1, 271555227, 733663225, -1, -1, 30689098, 238611761, 186418309, 914129752, 501461247, -1, 20320355, 361005033, 620521550, 433040447, -1, 357630134, 977605097, -1, 778960577, 452481187, 775247078, 949303649, 957540906, -1, 901943092, 283822835, 203951776, 746009059, 794290087, 494385151, -1, 436343991, 199992175, 578244243, -1, 141304375, 104101809, 348322419, 967746613, 371760863, -1, -1, 350894530, 119014617, -1, 702739511, 261979454, 267726651, 52304073, 430681644, 357780144, -1, 153615448, 575814378, -1, 642290267, 200734494, 110833041, -1, 672020479, 939476823, -1, 377696537, -1, -1, 403639183, 232032211, 606283251, 634631367, 673890424, 112827576, 756061188, 665651662, 687998186, 211396037, 497172098, 337632769, -1, 892990740, 320653983, -1, 88701434, 434026929, 201367100, 34649445, -1, 4299787, -1, 952943551, -1, 161416603, 592091661, 568478943, -1, 854341739, -1, -1, 690365249, -1, 197118469, 666401562, 786623139, -1, 940150866, 845828177, 984106704, -1, -1, 842757763, -1, 337300612, 180146444, 686134112, -1, 164889832, 843304869, 924881751, 553668981, 177930911, -1, -1, 852644035, 614287947, 374498102, 882113144, -1, 460282606, 111909252, 450621476, 333635428, -1, 285482456, 318943233, 457168203, -1, 408185836, 544928378, 136746931, 96644878, 198298045, 426952393, -1, 628927179, 758160678, 689238453, -1, -1, -1, -1, 861450773, 733627456, 994377295, 5741062, 594390831, 304863439, 142693454, 119638497, 968416438, 180824223, 149979760, 851111626, 538672426, 954599677, 485874586, -1, 343068058, 736369703, 764279978, 873194190, 568498303, -1, 755450464, 868202392, -1, 751362819, 412473056, 522307366, 506761539, 757259374, -1, -1, 676813317, 617119024, -1, -1, 598665399, 620855388, 130029321, 494245796, -1, -1, 543027601, 719472723, 954393420, 949987392, 186053102, 395826643, -1, 335109782, -1, -1, 466281509, 766012682, -1, 410217129, 861353401, -1, 434800461, 327696757, 704839487, 365080914, 406729459, 345909352, 968842934, 164827021, 273226849, 761983995, 407656223, 862187696, -1, 69116852, 372393529, -1, 962178812, 548080795, 653740417, -1, 911169273, -1, 995491028, 266252317, -1, 952905496, 916287052, -1, 923543898, 308020722, -1, 460648792, 300573855, 172676977, 258455915, -1, -1, 574303177, 789908041, -1, 852111547, 604953617, 93732586, 103452002, 904305133, -1, 126312428, -1, -1, 967051663, 535100886, 222406951, 475755933, 204608033, 513835614, 990449335, 364904240, -1, 784789336, -1, 952073089, 468660428, 506709811, 893618835, 687271751, 346027846, 471589573, 109877314, 787708599, 946813727, -1, -1, 806131115, 336694291, 670815112, 294804573, 893888424, 351025250, -1, 705311764, 23184014, -1, 504392758, 939943406, -1, -1, 670085208, -1, 84987774, -1, 241875162, 236612216, -1, -1, 344214129, 800267016, 369023540, 28085460, 859513539, 91363564, -1, -1, 455978055, -1, -1, -1, 70978134, -1, 922721385, -1, -1, 813324320, 893572751, 639464012, 393927764, 953206103, -1, 789071753, 87423675, 844312394, 751476446, -1, 139443831, 501698534, 600092174, 979473519, 27754474, 679077932, 260697211, 785412911, 832774410, -1, 508431105, -1, 334865088, -1, 542934931, 531253638, 247747286, -1, -1, 266612554, 274551372, -1, 60906773, 273636357, -1, 63924807, 317526782, -1, 416473027, 439325218, 937786177, 340387928, 58810860, -1, -1, -1, 275503870, -1, 616180391, 927788102, 813409930, 460054568, -1, 856122237, 241710105, 900751477, 395761203, 96272570, 86129802, 919569161, 802008804, 113146987, 452175385, 948167269, 535542681, 298271228, 829900461, -1, 237231269, -1, 63337099, 366154339, 730199769, -1, 503880923, 339775675, -1, 689277374, 919397379, -1, 827892007, 427525800, 160346223, 320911649, 258326040, 276533392, -1, 427287332, 190744674, 814864321, 204555597, 1605484, 634765456, 509054171, -1, -1, 452743450, 425177083, 536765217, 391920136, 878986406, 128362007, 449567347, 583160206, 651869906, 689817085, 907581290, 777481408, 317730255, 308254214, 303790555, 365249705, 423963930, 790854643, -1, 128850206, -1, -1, 511624908, 911402191, 726848474, -1, 533805318, 326783237, 492480606, 646201445, 447501667, -1, 177459451, 676251846, 429539810, -1, 184185531, 496809349, 718205787, 419954607, -1, 320455569, 28338169, 255639373, 960903313, 560205798, 731053680, 867639486, 627125841, 156982250, 944296318, 753301318, 129189242, 696212702, -1, -1, 643523657, -1, 110923922, 749565983, 163313441, 472568972, -1, 535689342, -1, 124355243, 788395443, 856506333, -1, -1, 521118137, 828246640, 332390679, 937777484, 630631531, 879320822, -1, 523902144, 150174343, -1, -1, -1, 666606954, 500056893, -1, -1, -1, -1, -1, 280113447, 350742465, 883133729, 575732475, -1, 537983025, -1, 511441188, 253106166, -1, 788805935, -1, 769538323, 370192000, 868181725, 491358037, 57192662, 921659811, 154501707, 17596592, 292382359, 284498511, 620992825, 294995112, -1, 183212534, 631142103, 956200578, -1, -1, 869955339, 351014547, -1, 822482940, 564667, 570053060, 275047423, -1, 48195015, -1, -1, 625745691, -1, 803301051, 722943860, -1, 839152673, 644531514, -1, 277557308, 724118260, 52003164, 229339516, 72825826, -1, 341698585, -1, 370298567, 740608469, 573479412, 268986903, 736313896, 534604179, -1, 377292804, 26726917, 635534509, -1, 983669846, 744939833, -1, -1, -1, 53384364, 25399937, 881695165, -1, 544703512, 437827908, -1, 965380391, 441493324, -1, 684488216, 823714641, 283025968, 171661469, 520675496, 165132760, -1, 281389026, 707598856, 50984371, 755414809, -1, -1, 341783532, 867324681, 714376218, -1, 158287853, 915215775, 302863779, 928258968, -1, -1, 793264773, 594588006, 315631100, 310542130, -1, 627739474, -1, 708780499, 264609498, 289963822, 245669163, 141152489, -1, -1, 124346202, -1, -1, 661629041, 59409787, 731183061, 77960310, -1, 859101909, -1, 339557472, -1, -1, 264713013, -1, 132352623, 753233175, 835335135, 976048524, -1, 17550177, 225998389, -1, 819467104, 911454161, -1, -1, 991953735, 125004527, -1, 562165621, 667155038, -1, 390005863, -1, -1, -1, -1, 268340341, -1, 77798878, -1, 132917216, 125175175, 232482520, 394185455, 516386255, 735138555, -1, 296469122, 926868672, 617400158, 954004113, -1, -1, 460193183, -1, -1, 807479414, 109009992, 226170562, 736860439, 685944075, 733667635, 592895327, 472296849, 512416821, 344547139, -1, 815464523, 749017827, 703605433, -1, -1, 178409993, 591202024, -1, 733362585, 291779707, 562194893, 80214344, 251324276, -1, 764501890, -1, 660191225, 511050691, 585684784, -1, 226739802, 214142312, 514083184, 286806133, -1, 309956713, 769961899, -1, 975006749, -1, -1, 839753764, 870975133, -1, 345924133, -1, 374944167, 410987943, 902254812, 610951827, 619172533, 241181748, -1, 168492620, -1, 331863169, 897945392, 784157707, -1, 804900901, 594004403, 697156697, -1, 95903813, 350657782, 879561992, 623007069, 397299876, 701001076, 357355940, 300045620, 265736959, 314242112, 907549174, 635290474, -1, -1, 987284562, 944009031, 270803275, -1, 118892169, 426147986, -1, 471063254, -1, 277157824, 561098725, -1, 725361006, 642910232, -1, 338901730, 112421960, -1, 577818050, -1, -1, 167810070, 230982844, -1, 216854696, 514873150, 171463268, 728057291, 728849329, -1, 981683485, -1, -1, 977457191, -1, 273147947, 69730048, -1, -1, 880433553, 169067017, 701833831, 134826948, 128820602, 638757853, -1, -1, 379958484, 6201565, 380704812, 667867601, 693238045, 148538403, 96192446, -1, 707468630, -1, 651470069, 488423782, 825732768, -1, -1, -1, 538888033, 142354157, 442968142, 968248162, -1, 257410307, 33017496, 193390403, -1, -1, 278556191, -1, 568155836, -1, 622855965, 892262678, 607634646, -1, 68036582, 933976444, -1, -1, 462727638, -1, 313474271, 7673791, 670345602, 411764978, 403164132, 135729244, 851234347, 240974478, 58520389, 216824625, -1, -1, 523095305, -1, 46451510, 515987574, 104447534, 375650055, 233253393, -1, 733138230, 698889145, -1, 834435891, 987564542, 234460996, 232478480, 347028665, 680187150, 374176958, -1, -1, 713524320, 482009985, 111164944, 76087087, 571955917, -1, 678193464, -1, 494932869, 637622231, 953958010, 472608123, 285156183, 311159526, 87101139, 200738066, 251202441, -1, 358415684, 411824003, -1, 822373198, -1, -1, 587183125, 300385420, 415988314, -1, -1, 512899309, 480487580, 362630940, -1, 925732689, 98551437, 737474798, 811672297, 427594825, -1, 702815016, -1, 966638190, 250811618, 481390581, 942104185, 599261410, 540920119, 483311836, 560578699, -1, -1, -1, -1, 379796722, -1, 758581678, 93142889, 732725275, -1, 828108367, 582006604, 942930244, -1, -1, 647199828, 791973748, 720414769, 465669527, 729061313, -1, 914781804, 387102059, 909676462, -1, 693235954, 416509695, -1, -1, -1, 294507165, 550059644, -1, 972576159, -1, 417820125, 779158640, 669217627, -1, 305572129, 551553431, 271655498, 755189976, 801832092, -1, -1, 230129517, -1, -1, -1, 217264123, 984302183, 167243525, 731815283, -1, -1, -1, 454969273, -1, 541355758, 28408462, -1, 792167574, 187556901, 264389121, -1, 732481262, 232371609, 256737972, 317988896, 170628197, 401738238, 89161924, 624332647, -1, -1, 364127697, -1, 903269102, 717540661, 83654409, -1, 840113731, 785115880, 416590426, 682229184, -1, -1, 503753445, 294861064, -1, 160499731, -1, 428843455, -1, -1, 146617242, -1, -1, 431803878, 670871584, 454587301, -1, 527609885, 73330810, 637240404, 201898161, 930394432, 627115105, 397516787, 359381172, 211769147, -1, 380120860, -1, 423235468, 850233053, -1, 157668995, 861904025, 479532139, -1, 583884572, 8438526, -1, 750547198, -1, -1, 16455333, -1, -1, 252698275, -1, 104024806, 190799968, 849279551, 804978538, 612892611, -1, 98989246, -1, -1, 828643125, 972111601, -1, 543157994, 719200689, 261370243, 520998344, -1, -1, 732924879, 96149779, 995819615, 492480148, -1, -1, 687434104, 932376409, 153069835, -1, -1, -1, -1, 396966311, 579826326, -1, 913642652, 177440393, 458469232, -1, 612560502, -1, 506224524, -1, -1, 207437913, -1, 359933547, -1, 881178006, 807100483, 146524501, 904074801, 809932419, -1, 337747669, 244532389, 447377090, 240790787, 553952377, -1, 357523654, -1, 499859853, 149785294, 455833250, 503719203, 559655933, 55816350, 684556768, -1, 613539838, -1, -1, 112526727, 181332717, 221144899, -1, 887021090, 278862102, 58497659, -1, -1, -1, 987026458, 685695280, 95321028, 405030385, 968299734, 43007697, -1, 351164553, 904378623, -1, 335810854, 362414856, 537397505, -1, 835060536, -1, -1, -1, -1, 834653468, 15189916, -1, 58213873, 230118617, 361429513, 373854670, 778025579, 704645798, 362966998, 698244612, 312433189, 727080087, -1, 489640538, 890513070, 554663133, 154215357, 196282219, 661620754, 453701154, -1, -1, 612393821, 765438221, 265917166, -1, 105980268, 738394388, -1, 826541244, 241856081, 457553113, 59852497, 700563239, -1, -1, -1, 351597241, 551567003, -1, -1, -1, 937111701, -1, 128739876, 767732239, -1, 388485093, -1, 30813955, -1, 726224918, 616557177, 341427922, -1, 599798575, 341534957, 151307183, 22445966, -1, -1, -1, 999939538, 662994817, 752517335, -1, 95950470, -1, -1, -1, 147881885, 234049574, 159631585, 676677861, 290986260, 948254269, 986327200, 219976916, 849858734, 219591241, 400064233, -1, 51701039, 220744657, 221768393, -1, 56877584, 104338350, -1, 27730932, 573356863, -1, 488531469, 824746954, -1, 419350143, 190945232, -1, -1, 280326719, 177969734, 132516352, 359137813, 129504662, -1, 112977348, 349299693, -1, 359083297, 408308752, 96348003, 767003056, 601232899, 864788522, 122505193, -1, 652536678, 330209620, 797014908, 191915874, 111749391, 931111887, 63021881, 779263290, -1, -1, 552350542, 333824994, 397247437, -1, 556558361, 280126830, -1, 6554703, 323617856, 695740620, 270822931, -1, 84694269, -1, 244062411, -1, 794729443, 411093406, 624003057, -1, 100040430, 576498830, -1, 487176886, -1, 107162720, 504768151, 778912418, 771795996, 102669127, 556220074, -1, 709521021, 767966463, -1, -1, 409782374, -1, -1, 658382299, 998872859, 619201297, 734262422, 628750215, 123687805, 624242939, -1, -1, 106556679, -1, 348591556, -1, 525130275, 491831486, 427788027, 419374772, 530097227, 306584796, -1, -1, 77218962, 804547642, 159361473, 624587109, -1, 382736889, 584995213, 84470208, 204842914, 566374692, 203025758, 345383186, 192594766, 167907871, 288390534, -1, 384948586, 154931649, -1, -1, -1, 287087871, -1, 865434219, 282989746, 424833207, 118480092, 98607051, 672620208, 933715367, 153549809, 463722928, -1, 352503513, 509986511, -1, 154866006, 356258852, 910287283, 84245838, 8425011, -1, -1, -1, 294312116, 995637828, -1, -1, 800608554, 615680668, 211141909, 35262192, 706399618, 813902122, 74992951, -1, 23418994, 338097402, -1, -1, 449254700, 499790978, 95924780, 904130330, 229948175, -1, 798912719, 202044843, 216235000, -1, 435355550, 683974604, -1, 116899222, 506549590, 777794715, 667058603, 860369161, 988036116, 133337354, 544774099, -1, 424743800, 6620275, 847892038, -1, 877642316, -1, -1, 701518376, 418589666, 438236578, 75343804, 583722816, 766747259, -1, 268565085, -1, 916097682, -1, 927046332, 640509827, -1, 95839762, 199686419, 942506032, -1, 491204536, 10445186, -1, -1, 879293269, 911671561, 610869444, -1, 329082946, 711751899, 655933926, 929888220, 351715125, 314147821, 11551036, 969487409, -1, -1, 462858190, 561918829, 676595991, 745047164, 962655734, -1, 227349320, 621960709, 380820351, 792254941, 881821747, -1, 182527482, 24287488, -1, 819986523, 138447545, 263400259, -1, -1, 724775450, 189802118, 742414358, 417248034, -1, 981396319, 976642151, 473182197, 864020911, 676799005, -1, -1, 286610107, 37768602, 652307379, 730842136, 514892751, 67786390, 100806314, 244074015, 975614563, 949704145, 627424351, -1, 50421684, -1, -1, 774024105, 146509283, 172234338, -1, 405883144, 341699762, 590084921, 332580811, -1, -1, 397373286, 8524379, -1, -1, 148248287, 934509961, 74179652, 527501819, 524756479, -1, 777962798, 510217466, -1, 31710170, -1, 599571044, 419944093, 89457042, 522273703, -1, 562928353, 103423247, -1, 109586025, 314112351, 575275341, -1, 829011922, -1, 129900180, 438867958, -1, 87566171, 688864125, 561607611, 630864110, 485639786, 802111927, 779297939, -1, -1, 524916755, -1, 353939018, 382809102, 292292444, 482033982, 476012231, -1, 772279258, -1, 274774485, 48938117, 206781713, 705697491, 382210253, 849365409, 187344384, -1, 896710930, -1, -1, -1, 897965335, 56461925, 803428482, -1, 815351104, 964259198, -1, 590266638, 47076766, 603461244, 495441406, 942933663, 614620949, 903310827, -1, 235649403, 849467315, 6687953, 892510735, 704272012, 711310501, -1, 910617913, 196964898, 699142470, -1, 747177062, 546722756, -1, -1, 872692345, 874239184, 13765083, 763613160, -1, -1, -1, 579021474, -1, -1, 384759184, 27839251, 61924578, 557291473, 800653020, 664337761, 229434715, 54404470, 767764129, -1, 505474, 488342006, 12801211, 562629174, -1, -1, 860125322, -1, 862045282, -1, -1, -1, -1, 893215115, 686620420, 631179534, -1, 357354980, 221083259, -1, -1, 929978278, -1, 311137851, 487679712, 987717801, 515997114, 748645858, 883315913, 4039777, 151953796, -1, 796384388, -1, 841866448, 97131578, 795137504, 855588295, -1, 87085404, -1, -1, 171787449, 460736410, 182262886, 714205169, 569178407, 104396675, 767264181, 89656716, 845011403, -1, 469219376, 878065964, 503852522, -1, 763578927, 941159670, 410845054, 6938884, -1, 769159161, 103097392, 442170450, 649342373, -1, 693030653, 375745159, 749915378, -1, -1, 172284604, 90978836, 763654913, -1, 234315259, -1, 494825571, 68197780, 902916530, 576820304, 869028428, 664532315, -1, 476634957, 45697614, -1, -1, 594610156, -1, -1, 991673382, 758515099, 734459221, 581198766, 590421764, 845639982, -1, 400047567, 259596729, 305358721, 529892557, 22896757, -1, -1, 314538845, 106171351, -1, 68201826, 80480379, -1, 130883508, -1, 627912556, 767012172, 584010945, 81412091, -1, -1, -1, -1, -1, 524797902, 956123925, 78741782, -1, 591012188, 641060782, 895604263, 541926185, 772909164, -1, 122797071, 537724148, 849919823, 197107514, 50984978, 268816861, 120277494, -1, -1, 909173596, 400035334, -1, 195131786, -1, 737258337, -1, 49921556, 644049672, 474314492, 961649681, 939437392, 179577294, 786870522, 973724507, 443888014, -1, -1, 315476781, -1, 644057722, -1, -1, 857016046, 647526083, -1, 946690094, 25310396, 470115021, -1, 856793518, -1, 390599005, 813372887, 70657309, 412510038, 545928171, -1, 210787164, -1, -1, 693354276, 782699787, 481473344, 925360740, 79667323, -1, 314948208, 394888324, 122073337, 420616579, 168144795, 3280495, 69274722, 262602735, 552975833, -1, 590981965, -1, -1, 886535032, 536354507, 461586013, -1, 538224569, 788018693, 388070090, 940268762, 170953311, 3446348, -1, 674515671, -1, 178981897, 490473961, 204825680, 898564330, -1, -1, 123346016, 278532707, 934830403, 319784282, -1, -1, 114986150, -1, -1, -1, 419827673, -1, 7219927, -1, -1, -1, 867112432, 985009202, 457240675, 677439664, 649065106, -1, 146616287, 798629022, 2780391, -1, 297194933, 68113636, 485360794, -1, -1, 654973097, 429181956, 998303265, 330356927, 999895411, 134279409, 596222699, 407929149, 888780868, 574157671, 557591328, -1, 127327638, 281344041, 425552480, 232362527, -1, 680418945, 453129161, -1, 918903300, 839617052, 868465949, -1, 138733485, 784520738, -1, -1, 545599951, 174987181, 889218942, 608283311, 737081800, -1, -1, -1, 514008391, -1, 4688665, 636898245, 912193615, -1, 244982285, 59169047, 873788916, 768514983, -1, -1, -1, 221455559, 529351290, 981937934, 751273466, 566656627, 776140823, -1, -1, -1, 445100637, 953918268, -1, 381938258, 765669769, 193039555, 371966626, -1, 380422464, 517567244, 379413781, 838988959, 216376058, 462535695, 2468059, -1, -1, -1, 988765597, -1, 318631691, 494289655, 84523357, 630963992, 688277810, -1, 688507554, 974268578, 793922009, 578448275, -1, -1, 735961270, 106884437, -1, 26522993, -1, -1, 939236086, 195202064, -1, 802441856, -1, 513017111, 970692280, -1, 924846499, -1, -1, 621559075, 926935798, 773730865, 338979582, 530142829, 420624974, 844114779, 267321373, -1, 172994746, 403464990, 632013688, 749994496, 754186800, 780658041, 314982894, 32775745, 865098830, -1, -1, 645413812, -1, -1, -1, 474806298, 284793294, 589970361, 743490949, 497731734, 557965271, -1, -1, 629088096, 226855430, 545860775, 983398404, 148443688, 596483481, 758854369, 60217399, 653966958, -1, 7034881, 638806448, -1, 740515575, -1, -1, 718775718, -1, -1, -1, -1, -1, 733482803, -1, 806793079, 319897842, 251759551, 196994859, -1, -1, 427905509, 532471736, 283895542, 712041752, 593380063, 933947804, 901881542, 816611440, 993655281, -1, -1, -1, -1, 291562129, 205948045, 60716453, 178187612, -1, 788835796, 465034877, -1, 714108605, 287274562, 668024896, 51124866, 813612422, 369546246, -1, 533741736, 169249016, 464292830, -1, -1, 580644665, 882358293, 363681148, -1, 641638278, 402920398, -1, 687486062, 286274350, -1, 542425779, 167192943, -1, 192628655, 827457051, 528613318, 150997036, -1, 55104924, -1, 236965271, 476468065, 245161541, -1, 215362857, 887066618, -1, 452730912, 260823026, 671681999, 437146023, 535413657, -1, 483043338, -1, 65564804, 265616566, 580885583, -1, 84950495, 778637911, 340335872, 341996535, 798648647, 307275416, 259123950, 523426818, -1, 138500183, -1, -1, 313445613, 945794666, 247634687, -1, 693010484, 903120165, 433448096, 504808275, -1, -1, 939522014, 841331683, 834530287, 372180069, 895010852, 751835887, -1, -1, 269893083, 774593399, -1, -1, 693982773, 103851432, 929349457, 674863764, 618698916, 80731743, 498349694, 445560072, 474352183, 623594150, 630750531, 382740826, 176001478, 188373044, -1, 257576717, 746944762, 664089351, 688798942, 633919823, -1, -1, -1, -1, 320874267, 749915212, 150075962, -1, 623455898, 311461541, -1, 109509168, -1, 887718560, 67433755, -1, 848617388, 672486174, 458184766, 842999409, -1, 311024327, -1, 982460151, -1, 83251436, 147624248, 617107638, 731933983, 593707222, 393557702, 727104554, -1, 804263427, 638475404, -1, 287200488, -1, 150415155, -1, 709399724, 925311945, 843626159, 692712300, 319308073, 706628690, 227497627, -1, 118130604, 673037418, 315029328, -1, 306913173, 157002504, 73315021, 797230178, 976144581, 492213920, 29326813, 294284544, -1, 609294317, -1, 187209357, -1, 942037781, 429083867, -1, 116571555, -1, 55283760, 847391376, 218588122, 682305506, 110522468, -1, 80976812, 687521611, -1, 817189133, 85834682, 700855071, -1, 462356391, -1, -1, 856678921, -1, 856608910, -1, 145777033, 330980644, 939783524, -1, -1, 177912900, 421020362, -1, 796501143, -1, -1, 405406231, 667369062, 305470670, 96381788, -1, 186188036, 24643054, 148444535, 321628948, 765075182, 748615743, -1, 699958635, 481188044, 84840403, 945918130, 70745892, 327551260, 583813444, -1, 656927077, 51581204, -1, 825438817, 550366306, -1, 5482305, -1, -1, 647582059, 375860579, 139552921, -1, 794613706, 133010599, 421377956, 438147472, -1, 74821934, 595215856, 969859036, 262264096, 264024733, -1, 825211213, 490556101, -1, -1, 657223805, 106456220, 103988280, -1, 184524345, -1, 158414141, 138242801, 815254432, -1, 829150211, 938107073, 253181255, -1, -1, -1, 173859046, 27922808, 802331569, 337187939, 373217040, 619372337, 246548391, 404815648, 744297695, 748850530, -1, -1, -1, -1, -1, -1, 610309661, 437751553, 988645447, 978615976, 148489483, 943198722, -1, -1, 317246451, -1, 984038584, -1, 859369954, 264079827, -1, 337162964, -1, 55923516, 608990646, 549145227, 846306809, 611653065, -1, -1, 315553005, -1, 986515248, 321465325, 235698953, 46085429, 370286858, 587720602, 649060061, 135819438, 706704661, 663936187, 49547298, -1, 12226078, -1, 507403216, 684500285, -1, 138134828, -1, 971286367, 108867263, 973319173, 541025637, 402306341, 649371455, 228905948, -1, 135445533, 990749478, -1, 90466101, -1, 493676792, 804492487, 808808507, 249906151, 77463129, -1, 358510166, 605134212, -1, -1, -1, 524535943, -1, 421764465, 517562978, 440143173, -1, 335667973, 243662472, 142098842, -1, 365250461, 28269551, 914217599, -1, 973763429, 462719050, -1, -1, -1, 166827440, -1, 665454181, 962318287, 617359783, -1, 982363774, 368093345, -1, 591360183, 278046727, 660076485, -1, 114700288, -1, 230920224, -1, 477402081, 83316584, -1, -1, -1, 697492314, -1, -1, -1, -1, 892248783, 363929304, 623591788, 618607860, -1, 247495834, -1, 568479396, 289760432, 222645128, 831427858, 424642560, 387694574, 3987930, 121751455, -1, -1, 564269870, -1, 898665090, -1, 100329902, 296857025, 581244553, -1, 874118198, -1, 55675476, 883658846, 512074215, 46350608, 402459174, 733808743, 794036397, -1, 74830626, -1, -1, 316271261, 273444615, 606940849, 870741127, 335968970, 120730088, 453974570, 282625562, 768469444, 360990821, 512580336, 207722651, 429266014, -1, -1, 877220026, 709673269, -1, 946124799, 545429528, 626931872, 426533340, -1, 307118082, 931189335, -1, 83485424, -1, 274088424, 822640131, 851376692, 866055830, -1, 683808814, 206225453, 919494749, 909336383, 15558785, 307115456, 126021420, 549691464, 865795014, 787125848, 79903591, 412906559, 857637047, -1, -1, 62177674, 548952831, 297231180, 329560827, -1, 419545591, 84255372, 473439912, 31668364, 10306416, 797384530, 192125716, 389469837, 906942366, 819167016, 176497116, 537404472, -1, 346276359, 895443670, 761098097, 454969817, -1, 646540067, -1, -1, 686127493, 507639083, 717364399, -1, -1, -1, 868946682, 989415373, -1, 878291037, 262388148, 27970948, 866658431, 34215803, -1, 918638063, 961770935, 638075163, 662060830, 124739337, 595547500, 360211908, -1, -1, 698628643, 114922556, 879879124, -1, -1, -1, 552752297, 359916947, -1, -1, 875250599, -1, 867369414, 220016734, 146784594, 656071447, 308469102, -1, 571443445, 110060265, 5707691, 888997996, 218507852, 294546518, 302445433, -1, 456966296, -1, 277321679, 613133032, -1, 916596051, 775266920, 569123943, 770415378, 116490384, 125086714, 563513743, 183765312, -1, -1, 224580857, 189370959, 595430602, -1, 113187731, 215245971, 433070481, 784482744, 629079666, -1, -1, -1, -1, 271586960, 204182901, -1, -1, 583415707, 683507866, -1, 5307104, 64279982, 803282636, 620967169, 804321256, 5541543, 276475058, -1, 214535211, -1, 19794757, -1, -1, 86961715, -1, -1, 215485163, -1, 268409206, 571105953, 394586450, -1, 575986319, -1, 149124764, 825048608, 181293642, -1, 722490443, 363838912, 231171182, 220426638, 50293824, 792302323, 926070922, 927197235, 301155779, 757729442, 858431307, -1, 559706002, 612965669, -1, 518500253, 446582997, 248846438, 272904611, -1, -1, 782493678, 190297211, 239346538, 189150321, 633438329, 91245993, -1, 680929267, 607540564, 20820064, 627150071, 477206459, -1, 481773519, -1, -1, 408071162, 581708769, -1, 332421909, 292704115, 453220448, -1, 412335343, -1, 720512663, 994783462, -1, 689797152, 762165062, 549655010, 575765428, 525422261, -1, 692746806, 915954740, 646373045, 302153532, 879215026, -1, 842960151, 271097516, 813179623, 872657376, 11801729, 833610303, 38629049, 332099367, 889687475, 644881175, 246226649, 134181366, 639722088, 446650710, 4572265, 242629323, -1, 700023405, 782921990, -1, 971366097, 530218597, -1, 183744590, 970415186, -1, 217462032, 135130873, -1, 719088804, 659011698, 302675952, 180419445, 448869262, 459231492, 300062899, -1, 629226777, -1, 589295495, 560365645, 245860650, -1, 488738730, 677950754, -1, 304861584, 908666026, -1, 738173420, -1, 855705941, 679749080, 406317343, 558254200, 619336517, 491222454, 450052080, 128022796, -1, 311460071, 412302949, 75511776, 502256944, -1, 891448112, 214403096, 704117866, 414731930, -1, -1, 601162618, 468743827, 612809339, -1, 565201349, 960473333, -1, -1, 841134190, 474037427, 406966509, -1, 99136678, 956931820, 454184206, 957379489, 562849953, 440540780, 590569409, 523411773, 254321464, -1, -1, 250010012, 515164102, 631036860, 398403978, 36214304, -1, 860114421, 997273296, 520372140, 310682031, 288722840, 209679807, 639415545, 477087614, 366386540, 726537251, 976256793, 720639573, 76783691, -1, 713249850, -1, 172832166, 924035685, -1, 676013683, 478098537, 529964082, 87615630, 921468770, -1, -1, -1, 345302116, 635865352, -1, 634343086, 561865398, 442266381, 12421117, 8231390, 758100469, 890769810, 627516012, -1, 998347953, 995457570, 233899776, 488670483, 540492519, -1, 460850951, 734884186, -1, -1, 335112447, 732549038, -1, 1140653, -1, 773462559, 952411008, 43526770, 587838408, 285871295, -1, 236239604, 476955566, 356615949, -1, -1, -1, 570404141, -1, 314808739, -1, 659252716, 503083427, 112669187, 612115156, -1, -1, 405231095, 338374466, 93496225, 401146824, 900583071, 685767554, 752592059, 429707624, -1, 960970676, -1, 839377384, 385813626, -1, -1, -1, 491018727, 409671932, 929188898, 177227250, 524686223, 22894608, 306811437, -1, 291321202, -1, -1, 532985558, -1, 416167007, 620183836, 884188670, 468950923, -1, 802405520, -1, 759609725, 593180107, 706955552, 530716319, 463475251, 609252879, -1, 138300154, -1, 649204883, -1, 186847538, 545594546, 482088119, -1, 53061918, -1, 240976517, -1, 554534173, 99188368, 27397184, -1, 23729606, -1, 863072038, 745140677, 230070976, 828795697, -1, 225106440, 252666310, 232136460, 230343799, 712876894, 556594718, -1, -1, -1, 855532444, 801753862, 99674644, 186201791, 276651350, 61044776, 180290626, 639424, 254354233, 725957341, 717825415, 365390348, 104397223, 946673140, 263648569, -1, 762402371, 317731890, -1, 185683628, 897771661, 584402255, -1, 454869902, 325000686, 95520386, 357551064, 252037460, -1, -1, 644222180, -1, 544381397, 815757225, -1, 34991066, 925768089, -1, 397899963, 941781645, -1, 406334596, 405372459, -1, -1, -1, 390778522, -1, 512856040, 497692822, -1, -1, 460703095, 872279110, -1, 919827848, -1, -1, -1, 465569530, 518537778, 56075130, 280695047, 534958425, 754025084, 716546485, 982966357, -1, 775022368, 360408460, -1, -1, -1, -1, 781556307, 978054427, 665403367, -1, 114678873, -1, -1, 29530526, 661720764, -1, 55635985, 225475274, 877701578, -1, -1, -1, -1, 582888796, -1, 126211029, 31469375, 875907501, 483776472, 230684028, 416888907, 445600566, -1, 158710470, 864201695, -1, 480751285, 117174196, 20258344, -1, 494831844, 241468418, 38780284, 36545250, -1, 87378988, -1, 978153771, 461032488, 726448963, 266287652, -1, 394619966, 956059900, -1, 895908690, 402743360, -1, 514055802, 728657656, 719856224, 408778399, -1, 958187799, 561487057, 886427029, 929024795, 28898080, 718478982, 511675186, -1, 956891139, -1, 592450001, 336096500, 725785697, -1, 84946699, 426581598, 505152585, -1, -1, 963894978, 488104468, 148296319, 589111089, 657169472, -1, 33744714, 805436505, 746180131, 929041622, 552878209, -1, -1, 572271009, 378539294, 443251385, 336477999, 243724567, 93547617, -1, -1, 137287435, 749572893, -1, 473772163, 813089628, 511919414, -1, 432440803, 199758187, 796168743, 832202469, -1, 426521534, -1, 829286227, 311764167, 683272583, 521072906, 810828827, 319913813, 77454259, 92078311, 250684676, 78482364, -1, 256570960, -1, 263376122, -1, 178881351, 418405950, -1, 228102045, 132654227, 699979385, 104224130, -1, 18696729, 291317654, -1, -1, 55198059, -1, -1, 413054144, 664629761, -1, 289140637, 913979658, 788220773, 864102193, -1, 833311753, 944670715, 408903983, 293615945, 997356522, 224831004, 505658151, 388777169, 345564289, 500222960, 62417566, 813960533, 197188674, 480934333, 262804567, 32006768, 104485753, 779641224, 737698857, 253280614, -1, 261599272, 10318214, 450386765, 101705561, -1, -1, 971900232, -1, 924102967, 473709721, -1, 735478932, -1, 697661143, -1, 867105463, -1, 245963379, 470290392, -1, 36505690, 159867620, 400404509, 42625794, 722267893, 710042196, 736354135, -1, 686480745, 197318085, 979312567, 716421130, 89035, 978961085, 925291383, 19078064, 656936462, 993679542, 263678525, 713431445, -1, 883619727, 765285990, 200894245, 726831465, -1, 914668643, -1, 223591083, 862587089, -1, 64308220, 734779419, -1, 215924033, 756821477, 746444797, -1, 19143861, 211904550, -1, 282638827, 638461971, 872560751, 790333456, -1, 799017761, 797280871, 794644521, 447871199, 109494449, -1, 19748904, -1, -1, 414684562, 239235558, 542475768, -1, 828507733, -1, 948580639, 512650444, 51753806, 936140632, 756071535, 285112074, -1, 137464286, 718157555, 269307320, -1, 44998908, 896783028, 156708206, 330038911, -1, 435467002, -1, 767707226, 890535000, 675945353, -1, 302183675, 904570407, 166608698, 115286694, -1, 112870898, 25993534, -1, -1, -1, -1, 106575580, 920844190, 102985699, 843576962, 769167214, 428381868, -1, 581334563, 60857639, 117018394, 378496482, 421620542, 223034354, 838630780, -1, 704289428, -1, 810106055, 693822716, 707452945, -1, -1, -1, -1, 903392144, -1, 787058100, -1, 78273506, 958973659, 290735357, 22969408, -1, 776622901, -1, 255035779, 975139857, 809983297, -1, 30743843, 275461, 802048457, 711167746, 961783499, 6253526, 567492099, -1, -1, -1, 803445445, 437933033, -1, -1, -1, -1, 3131357, 777096145, 696895626, -1, -1, -1, 58059119, 803263617, -1, -1, 381051608, 484319431, 33713782, 677348577, 214164775, 88313253, 754284989, -1, 641737724, -1, -1, -1, 480399834, -1, 282564432, -1, 452750084, 91864699, 568037304, 461064096, 579196291, -1, 962871683, 486081646, 426216156, 618126377, 884841535, 215043328, -1, 831163646, 955791078, -1, -1, 623765649, -1, 219988000, 847618542, 318915948, 454188152, 864856853, 941570028, 74045336, 819692988, -1, 189902226, 490838584, 541910834, 29553755, 988477931, 390377478, 402820826, -1, 717728412, 318120470, 758048402, 618086541, 253123732, 755877508, 594041550, -1, -1, 543827176, 417721502, 742335190, 467655788, 245711939, 129193921, 671486944, -1, -1, 577767970, 545635805, 676391515, 769052156, 889193304, 986370862, 704670208, 830641073, 111651117, 16443478, 840980561, 642107082, 161549639, 668379921, 646195980, 77013867, -1, 544349231, 420304942, 447598180, 344577787, -1, 648528323, 309679710, -1, 590840040, 399538720, 635934797, -1, -1, 467306247, -1, -1, -1, 940126638, 344882309, -1, 146961806, 336390606, 15670594, 891590582, 320328197, -1, 276372776, 134068233, -1, -1, 194442419, -1, -1, 46483234, -1, 633819644, 736942696, 382688648, -1, -1, 681156176, 749687269, 5968671, -1, -1, 39268319, 678426100, 586411954, -1, 411458848, -1, 723878596, 279953077, 336629344, 835165324, 179834565, 385837319, 844580813, 397458953, 629200226, 788715139, 10848533, 902392026, -1, 111242705, 608268348, 97132236, -1, 603215592, -1, 150896018, 541891697, 808532814, -1, 268756405, -1, 566700813, 40113144, 547069793, 101465505, -1, 503987413, 421353634, 31000413, 467751033, 59804392, 878454525, -1, 328986855, 555086579, 622885408, -1, 777372761, -1, 802323177, 300274870, 405504820, -1, 795398016, 988499608, 416929812, 694811621, 153173176, -1, 187812375, 925341539, 765078155, 373399337, 678504639, 501026766, 153113718, 678303926, 340352693, 110721851, -1, 690560396, 86652834, 634830660, 954423336, -1, -1, 74311009, 191818642, -1, -1, 122819894, 965211621, 434017091, 961411243, 622729857, -1, 531722011, -1, 559700410, -1, 362986664, 901929462, 926958142, 346850354, -1, 784800694, -1, 57389583, 898582125, 295929033, -1, -1, -1, -1, -1, -1, 368116940, -1, 34149997, 424577294, -1, 839962138, -1, 839550226, 506193402, 30392416, 504784517, -1, 736888931, 653735335, 211755831, -1, 619363772, 646857021, -1, 274214848, 851814648, -1, -1, -1, 582274440, 744829882, 872474123, 780864604, 449971872, 122671853, 758006832, 709110027, 769017133, -1, 190682838, -1, -1, -1, 27801625, -1, 386944346, -1, -1, 742944379, 917212012, -1, 647911812, 549361353, 665053342, 854131281, 838369910, 68908659, 251424292, 827584346, -1, -1, 222202856, -1, 924880091, 866397559, 643834987, 587133385, 125398247, 952980635, 522409404, 132820530, 524932747, 488620864, 309710784, -1, 528740976, 564307137, 141074572, 507780420, -1, 12458827, 161732136, 382046460, 859634317, -1, -1, 606574165, -1, 372854591, 371593619, -1, -1, 360388236, -1, 567758002, -1, 199476899, 836601954, 385257878, -1, 779530861, -1, 386390589, 769803074, 977775758, 936638813, 802649774, 220375397, 49140008, 785556105, -1, 914642057, 404223888, 730884312, 240712093, -1, 192375381, 393239027, 163899242, 683873823, 948538785, 295189465, 951038455, 981859186, 312991170, 897202773, 357458061, 91551877, 702082392, -1, 463315848, -1, 330331229, -1, -1, 414113346, -1, 115310459, 512024387, 602119893, 680979694, 131214595, 616457064, -1, 212681406, 309899843, -1, -1, 405028735, -1, 337712516, 478384003, -1, 450684162, 896345784, 618290682, -1, 134741707, 305731437, 658158816, -1, 431923499, -1, -1, 500955448, 82935772, -1, 10900244, -1, 137952675, 270993548, 323201821, 62984121, 369379188, -1, -1, 257908447, -1, 910113059, 11751730, 301842112, 957703343, -1, -1, 777204421, 841742016, -1, 121242579, 531291281, 708254060, 199494339, 781047794, 823466105, 575288727, 340368948, -1, 668422739, -1, 912038042, 452829535, -1, -1, 566899725, 361629343, 574804921, 338076394, -1, 289050720, -1, 933781716, 634378361, 973485092, 890435101, -1, 854979471, 742984457, 702860046, 87638955, 981894969, 644792954, 110304757, 940748628, 69402910, 340493881, 576596168, 340560270, -1, 300485718, 953602077, -1, -1, 277536150, 334644253, 222016513, 608626665, 152605129, -1, 963416305, 344593179, 613076111, -1, 776480363, 672312554, 740538383, 68699977, 362735625, 445091130, 575031085, -1, 522190316, 995023291, 819028956, -1, 335637478, 288897641, 650172938, 593010900, 774269471, 831547259, 335019333, -1, 521582193, 166418346, 618327153, -1, -1, 63365315, -1, 516008815, -1, 208658177, 819733048, 682684039, 539841283, 478418331, -1, 776777732, -1, -1, 307010260, 20600826, 679008314, 756243257, 557663719, 134073396, 79891584, 432753264, 530054425, 367926825, -1, 708033716, 256855081, -1, 508399388, -1, 466248189, 536877412, 469420098, -1, 516179897, -1, 973242060, -1, 178256612, -1, -1, 362150432, 368577552, 557501389, 623152201, 415079321, -1, 241701066, 522874893, 331356147, -1, 995714263, -1, -1, -1, 264378772, 184916754, 416645432, 5514278, 377074524, 115497460, 767624129, 232492734, -1, -1, 907303399, 689708934, -1, 715923480, 63275757, -1, 219007742, 754047715, 433375047, 134375893, 619074537, 895458460, 954902835, -1, 569024737, 775508539, 70513132, 25581259, -1, 260155399, 274319415, 118845978, 3452597, 348434267, 870682363, -1, -1, 593423991, -1, 692852794, 112502220, 765037704, 7384247, 15566531, 143608135, -1, -1, 529267806, 525408383, 235119545, -1, -1, -1, 293058273, 646740265, -1, -1, 526378535, 158067907, 928427599, 639092103, 845850280, 470005921, 174969680, 784240022, 607906812, 413702004, 82729784, 878238086, 759890346, 35115319, 946223184, 398682508, 517812886, -1, 83699819, -1, 986338146, 676790991, 345948671, 817460756, 956564879, 87124629, 496307441, 65710233, 211641465, 508436412, -1, -1, -1, 935135006, -1, 639688032, 730465333, 28612276, -1, 807145335, 724994527, 847903760, -1, -1, 791588847, 107902711, -1, 398691918, -1, -1, 272751275, 591141747, 421709264, -1, 499820018, -1, 479694283, -1, -1, 97426793, -1, 683166426, 902163665, -1, 582051546, 522573469, -1, -1, -1, -1, 253541687, -1, 102946088, -1, 122407466, 766028736, 589279652, 162952430, -1, 243043069, -1, 9815845, 290264705, -1, -1, 485749774, 834009963, 417092228, -1, 900475054, 694018107, 283017861, 491219571, 368096537, -1, 623213949, -1, -1, -1, -1, -1, 880281059, 501931161, 932747547, 442743796, 857621700, -1, 387704660, 610292068, -1, 49223296, 54166479, 660929766, 509869953, 206242869, -1, -1, 921959995, 812618294, -1, 143933907, 17271713, 389215463, 911095590, 332633752, -1, 362522344, 514875425, 322944339, -1, 711312188, 332677761, 103979837, -1, 28543875, 285199625, 70787014, 746330935, 411799885, -1, -1, -1, 141542780, 381730257, 626192693, -1, 346228635, 410932838, -1, -1, -1, -1, 357820769, -1, -1, 769232244, 241946344, -1, 235284838, 661283196, -1, 671585516, -1, -1, -1, -1, 366003530, -1, 903934498, -1, -1, -1, 542430372, -1, 131095498, -1, 619763452, 496059300, -1, 230948945, 622328665, 975309418, 223148218, 643409153, 104014014, 903416285, 205599299, 819032872, -1, 798689505, -1, -1, 100054609, 359682398, 868217905, 937475050, 643190846, -1, 547871420, -1, 451236903, 728289103, 90197919, 344592586, 989587302, -1, 969191523, 983774835, -1, 738586339, 113003683, 389594973, -1, 700512658, 952870639, 796071406, -1, 765218831, -1, 852560940, 590405672, 459066159, 326101688, -1, 687943895, -1, 403228267, 987060781, 845214412, -1, -1, -1, 452686934, 57591394, 328902897, 736280592, 155814192, -1, -1, 339465048, -1, -1, 478794900, -1, 124333054, -1, -1, -1, -1, 910999394, -1, 471690900, 996709590, 898721535, -1, 182910678, -1, 809410481, 250645793, -1, -1, -1, 993286552, -1, 126393786, 801703280, 177852035, 937212341, 507640931, 748664482, 853585707, 613564757, 292575178, -1, 246008833, -1, -1, 283139088, 789074741, 693358722, -1, -1, 157231154, 915096494, 285016510, -1, 579168723, -1, 956395303, -1, -1, -1, -1, -1, -1, 229782492, 407561171, 895316785, -1, -1, 369215753, 431310951, -1, 495221400, -1, 337172083, 284235553, 549265816, 497476649, -1, 164679649, 128833159, 911427666, 235397201, 153206657, -1, -1, -1, 30390570, -1, 913144780, 165446808, 286973513, -1, 825737601, 490862703, -1, -1, -1, 916925266, 221260476, -1, 399175678, -1, 715380556, 431529015, -1, 465091577, -1, -1, 31231167, 810439916, 948282961, -1, 56215144, -1, 34761503, 871425042, -1, 537527143, 772739273, -1, 211233440, 703845568, 700254284, 700790884, 473124886, 196958000, -1, 127971064, -1, 185482903, -1, 932081087, 824702528, -1, 468965016, 821266021, -1, 8292185, 214428676, 987088414, 801422292, 349028079, 350774146, 269725849, -1, 830933783, 981391237, 991936371, 889303881, -1, 437082661, 566030094, 44463818, -1, -1, 446201697, -1, -1, -1, -1, 555652757, 573054460, 242469905, 107210705, 465538756, 598408223, 664847276, 247996377, -1, 109713889, -1, -1, 136259040, 31393948, -1, 174628150, 4484718, 871953885, 61311261, 601868259, -1, -1, 689336427, -1, 131010274, 650556020, 877778199, 78107219, 893924629, -1, 42534178, 7887697, 15960064, 578930259, 98912474, 375419136, 622340499, -1, 168055078, 279336569, -1, 153734504, -1, 763030775, 350876721, 442323924, 880131291, 55573622, 529527277, 189973649, 208132948, 841300705, -1, 930812807, 190031920, 960927091, 67820981, 976902055, 250940884, 344468386, -1, 773511294, -1, -1, 633229090, 283071751, 993027419, 925793698, 500787228, 346855839, -1, 522035374, -1, 137036583, -1, 204633455, 958251067, -1, 955762786, 13726454, -1, 77696826, 540635069, -1, 358958489, -1, 269769628, 242035881, -1, 985989279, 655497793, 223308121, 296723334, 868656156, 571617142, -1, 288977, 183754885, -1, 227068742, 155342477, 913556084, 15007895, 586991826, 800788845, 469431889, 962456890, 281365414, -1, 313253605, 624224498, -1, -1, 685095036, 78572267, 896600790, 463563283, 720776779, 766532037, 725741117, 684586709, -1, -1, 141807796, 907100947, -1, -1, -1, 416263962, 222739462, -1, -1, 890731336, 225255804, 145476209, 754151426, -1, 310026981, -1, 146215318, 712923055, 837958437, 264217700, -1, 47010681, -1, 829413219, -1, 248647485, -1, 684037657, 861300480, 51000751, 74855520, -1, 157410811, -1, 966411794, -1, 555422393, 419701421, 716449186, 9628054, -1, 268654590, -1, 334273186, 338461114, 234605302, 159450985, -1, -1, 465798499, 999744431, 117718591, 843700106, 39293959, -1, 116204918, 590634861, 253777103, 576365774, 77347293, 397975485, 571211193, 249745207, 820265973, 230256631, -1, 982756582, 551759646, 888901046, -1, -1, 73370612, 553898262, -1, 61233828, 746968386, 386118172, 556924870, 65017903, -1, 597596721, -1, 130366615, 722113330, -1, 275910320, -1, -1, 239852182, 739541058, 953801563, 527792014, 745536726, -1, -1, 341110802, -1, 275739340, 910249508, 699779979, 160077892, 16675919, -1, 485679418, 9574971, 579846104, -1, 104824207, 835372709, -1, -1, 158541663, 465390692, 638075005, 767191334, 660391883, 361114809, -1, 766746141, 582265887, 647715674, -1, 442984220, -1, 23531671, 142332190, -1, 995707569, 601263928, 523802297, -1, 68252902, 642234864, 525283716, 939471874, -1, 884799332, -1, -1, 319839700, -1, -1, 47286468, 63073079, 964242128, 714925547, -1, 336143938, 874952326, 654844296, 861769500, -1, -1, 520669086, -1, -1, 300542845, -1, 1001692, -1, 339845118, -1, 255050403, 991951134, 809194237, 149938420, -1, 880821891, -1, 674082415, 464048542, 167011659, -1, 709519312, 17305303, 799348629, 461367911, 272501961, 606433299, 715360494, 926568504, 114852108, 99040553, 513203861, 254249992, 976997089, -1, 919070527, -1, 841100591, 275014106, 460386138, -1, -1, 446049777, 212938826, 118091086, 141780255, 356440008, 814792332, 589032509, 701715098, 745225677, -1, -1, 588907617, 901084880, 461911374, 592596382, 800879612, -1, -1, 433801811, 46065979, 331650939, 729879445, 470112568, -1, -1, 85934820, 773541644, 974297743, 85894886, -1, 359397223, 760387117, 233767999, -1, 121205412, 78158875, 78352651, -1, -1, 262513554, 467787995, 150825789, 285642350, 472812563, 986269368, 903292737, 166366163, 684056595, 88222439, -1, 689599340, 910844393, 719246795, 718223678, 489400898, 813750596, 221299, -1, 875021964, 405506043, 5141879, 390431289, 113616669, 84078075, 566466526, 568780776, -1, 696667943, 417073448, -1, 410624641, 268636625, -1, 775145455, -1, -1, 701260790, 826911675, 484225598, -1, 332096164, 385798059, 463676067, 204412973, -1, 898875329, -1, -1, -1, 709725631, 730882993, 245311123, 158265603, 152152854, 650873382, -1, -1, 466535576, 127470130, 611021533, -1, 985844058, -1, 960922287, 656291188, 964678714, 883725442, 938709281, 403577991, 769015259, 798189012, 220790775, -1, -1, 847469461, 958611119, 858488655, 205582786, 632996449, -1, 631178432, -1, 199017396, -1, -1, 259769644, 485864092, -1, -1, 517588430, 444049993, -1, 63832416, 619551699, 337221821, 496523429, 371328414, 317195515, -1, 241781400, 21142975, -1, 86159114, 672710177, 606600614, -1, 53386150, 552291929, 375054482, -1, 785385210, -1, 445117260, 470757224, 802928609, -1, 446903007, 578915217, -1, 249925430, 397927539, 742827168, 657977847, 753098135, 250062149, 593447907, 771857119, 927553053, 132615787, -1, 420762986, -1, -1, 28940888, 722269360, 362711995, -1, -1, 728444007, -1, 425854336, -1, 701567347, 568495105, 236387049, 226170531, 976627117, 245192266, 893946509, -1, 942882916, -1, -1, -1, -1, -1, 372142319, -1, 49809650, 279530411, 95732432, 539262113, 556309703, 902714411, 246585457, -1, -1, 389783243, 694869647, -1, 41636791, 509047630, 797686519, 342287589, 825419845, 845590255, -1, 762272652, -1, 148704640, 530122782, 772350438, 395436339, 519908544, 648369507, 914574942, 860384471, 879596600, -1, -1, 685738545, -1, -1, -1, -1, -1, 627274740, 682204007, -1, 272526279, 111037702, 711280082, -1, -1, -1, 163757593, -1, 764128213, -1, 337957710, 735734126, -1, 211681986, 101873622, -1, -1, 549047858, 367033868, 567487565, -1, 205518315, 632557621, -1, 805878051, -1, -1, 336442790, -1, -1, 632695466, 603443422, 23341370, 53520266, 679601437, 515527555, 494516344, 598444334, 241568091, 924955769, 441502540, 267064863, 339129449, -1, 299204964, 46739483, 61372587, 560940105, 6662414, 711156769, 486472644, 217196312, 582666441, 763301492, 120913993, -1, 601290584, 738586359, 67126285, 605080882, -1, 153872166, -1, -1, -1, 715049949, 288715260, 940689295, 980208417, 124235272, 422372121, 307201456, -1, 336536440, 215417870, 742679896, 121038732, -1, -1, 447885731, 473791081, 456651284, 461491700, -1, 428402833, 839092759, 181435240, 727601586, 383846046, -1, -1, 923931756, 644341061, 211486476, 237936002, 489209495, 325261086, 417143450, -1, -1, 600591339, 664327952, 363706441, 13526632, 706332269, 70731655, 974789283, 15267642, -1, 158500674, 222081447, -1, 238326467, -1, -1, 611858764, 520153615, 583217368, -1, -1, 303714252, 223771790, 328184405, 474701658, 131754001, -1, 996932839, 694383605, 320105510, 558689842, 21509162, 756438747, 845657697, 309971605, -1, -1, 187643835, -1, 978930678, -1, 85154821, 176241645, -1, 628456452, -1, -1, 79044635, 408753551, 216867706, 980496873, 828219133, -1, 243054765, 458946670, -1, 180131989, 546233065, 443096270, -1, 953716982, 34001236, 311266632, 173598806, 785984650, 158284675, 121083892, 188280931, 392908194, 239319036, 148317795, 486809752, -1, 669776194, 519474125, 119405977, -1, 626115975, 585620154, 947673457, -1, 776661207, 38995122, 476436922, 94715468, 387237729, -1, 172167089, 107520513, 683450765, -1, 13634912, 796026027, 792165422, 489103359, 796600457, -1, 804842830, 894482821, -1, -1, 566354742, 996414633, 272690370, 253793439, 53790263, 270810335, 964692679, -1, 200251125, -1, 739905858, 455586127, 463116090, 344952127, -1, -1, 887571357, 994806255, -1, 21170289, 38391499, -1, 469833865, 181910500, 381600944, -1, 86363342, 205833717, 857240419, -1, -1, 393210090, -1, 437485258, -1, 564797366, -1, 753975139, -1, 878099453, 202844369, 543649373, 236055327, 124327057, 289150279, 705586893, 599764396, 235116714, -1, -1, 565551945, -1, 41821176, 919757258, -1, 25872056, -1, 278071382, 183573116, -1, -1, -1, 916948368, -1, -1, 531390413, -1, -1, 168895349, -1, 733908511, 696223383, 748585417, 402403959, 662815314, 817244738, -1, 867874275, -1, 30733793, -1, 499845276, 748669252, 986905781, 387930402, 927269780, -1, 805462355, 328425987, -1, -1, -1, -1, -1, -1, -1, 497366688, 523413560, 810115492, 248410036, 453456145, 262649219, 644096151, 43563806, 778265162, 674091272, 713412555, -1, -1, 901454070, 375647481, 791793561, 781679239, -1, 261639192, -1, 589256173, 958326113, -1, 323965761, 963788232, -1, 687069458, -1, -1, 682715343, -1, -1, 446409324, -1, -1, 762690625, 692097869, 770245063, -1, -1, 374485546, 809829452, 551034844, 153999596, 777137577, 19879119, 728645736, 737168409, 509745959, 80611352, 827026904, 921297063, -1, -1, 942539061, 993895871, 554756488, 376825975, -1, 503919758, 124410570, -1, 869299787, 417315975, 153961061, -1, -1, 890773778, -1, 733454232, 607569086, 591808148, 225622186, 589389615, 147017636, -1, -1, 612320864, 975907536, -1, -1, -1, 460465690, 511110269, 660174426, 778467361, -1, -1, 318815163, -1, 787084476, -1, 562306394, 807534501, 254844645, 842610787, 311617721, -1, -1, 406484522, -1, 981893454, -1, 986294990, 927073884, -1, -1, 139496491, 18005729, 574605679, 327371680, 182124779, 740085239, -1, 658455443, 628575670, 974240434, 469714574, 323943106, -1, 310733381, 502520905, 229792753, 56777385, 719194227, 459815925, 426454763, -1, 855540725, 421252549, 37633780, -1, -1, 303934889, 534286219, 130547470, 922618308, 343963062, 961236195, 370617007, 98108103, 454785097, 428726155, 145921372, -1, 587829284, 604612257, 543888615, 394421127, -1, 288600061, -1, 781106616, 414047906, 587653833, 853775667, 777115974, 756031995, 929952839, -1, -1, 905108761, -1, 914157251, -1, -1, 483614254, -1, -1, -1, 998828570, 301650106, -1, 975533022, -1, 623660551, 316280062, 485054729, -1, 328438298, 875255330, 325612561, 728990299, 327682617, 375602407, 232934840, 430161577, 516679366, -1, 732813981, -1, 369613149, 441099010, 582427234, 682414558, -1, 427774524, 170818488, -1, 864383838, 581977223, 725931229, -1, 441677439, -1, 719819169, -1, 310497952, 366167359, -1, 429587093, 375506000, -1, 717897692, 357045618, 663575303, -1, 396487034, -1, 395069284, 286277879, 873754650, -1, -1, 613067117, 745742682, 867136210, -1, 440218097, 713289359, 972903286, 716692788, 336143581, 825838857, 732914969, 304930291, -1, 970555260, 171811317, 620718750, 618459274, 382831351, 106370556, -1, 484809623, -1, 23552855, -1, -1, 299541059, 747879125, -1, -1, 995059233, -1, 825492539, 901021505, 657221798, 503477840, 543375307, 264508307, 516659518, -1, 844821896, -1, -1, -1, -1, 322469790, 343951914, 467734342, 841014064, -1, -1, 81523181, -1, 983851063, 982998844, -1, 287365118, -1, 843487323, 828550892, -1, 700874155, 532257586, 930344065, 834109709, 493184445, -1, 318347964, 716894317, 820890886, 365902651, 716299734, 755698805, 738835522, 391210650, 320430532, 306346802, 718352761, -1, -1, 754696133, 772426216, -1, 611911871, 648208389, 329856921, 438303168, 781217504, 786864487, 71525628, -1, 77808913, 638280819, 572707649, 866289832, 933244510, -1, 721432058, -1, -1, 840159673, -1, 451137687, -1, 805795924, 359743205, -1, 728397852, 904470689, 400189470, 969298351, 934173191, 610873655, -1, -1, 973833065, 820614492, 987289809, 134306003, -1, 867777456, -1, 524390647, 320355996, 307676807, 597270381, -1, -1, 102928615, -1, 763244451, -1, 299953613, -1, 818186161, 75913005, 378571992, 395142167, 174700346, 928562321, 797605932, -1, 841170166, 463592713, 636294064, -1, 346352272, 649058334, -1, -1, 101965407, 637591651, 214887140, 692456972, -1, -1, 248974359, 763887195, 551104502, 585115884, -1, -1, -1, 898097062, -1, -1, 495010635, -1, 194511203, 699553036, 944773498, -1, -1, 580960946, -1, 537059382, -1, -1, 678540200, 695679309, 879444100, -1, 966168458, 423909026, -1, 551310881, 346153402, 409074608, 947254889, -1, 440575965, 489124400, 382101948, -1, 389218971, 860268904, 600222159, 528383868, 889867192, 624414364, -1, 90189281, 514317450, 524338926, -1, 519557117, 416524122, 282768849, 418075472, -1, 173412072, 474665132, 947319806, 69176401, 929433816, -1, 102829759, 652729083, -1, 805363012, 920396178, 205531728, -1, 581128878, -1, 114615028, 243471517, 179469851, 341586908, -1, -1, -1, 480635471, -1, 432137176, -1, -1, 372788409, 751749773, 46843494, 747726906, 201984968, 666813551, -1, -1, 767113932, 13255036, 534208460, -1, -1, 420764403, 535879678, 29256746, 717132743, 940662817, -1, -1, 91262120, 406436736, -1, -1, -1, 492943983, 760321537, 599468704, 692875525, 133695824, 920799977, 199883239, -1, 842435511, -1, 856555265, 448941622, 891524603, 14570226, 544494473, 138968750, 41333598, -1, 366877308, -1, 326087955, 292505418, 694026942, -1, 208841670, -1, 83922099, 937073346, 655953387, 279496082, -1, 517229527, -1, 874631354, -1, 133451082, 363874757, 251187377, 168708967, 433427804, 264556543, 590154250, 69729514, 858343579, -1, -1, 741109591, -1, 170460787, 737111725, 997522543, -1, 448290784, 700030731, 738856489, 108004543, 711879416, 725296346, 130907454, 975248204, 152306951, 941125079, 145780120, -1, -1, 18198259, 121255516, 324154711, 493788055, -1, -1, -1, 433918424, -1, 400810303, 136970428, 208171632, 68660468, 887977127, 736752704, 200499227, 110573252, 61771740, -1, 418422484, 85270770, 717249789, 724927804, 231160823, 807642009, -1, -1, -1, 102744278, 133734917, 762582150, 882890020, 642266540, -1, 724832596, 333380526, 762430658, -1, 441339790, 178463752, -1, 170132421, 93795478, -1, 468523906, 498569576, 33885828, 986909926, -1, 98333490, -1, 205477999, -1, 629840913, 254480213, -1, 913432817, 819079981, -1, 776309636, 578531546, 232420405, -1, 86114269, 986585757, 3639860, 139731931, -1, 802356468, 526607324, 195551879, 526563173, 660404853, -1, 90070246, 11067926, -1, 959822486, 803387876, -1, 55151904, 592993000, -1, 232351489, 292357482, 150188007, -1, 501569446, -1, -1, -1, 989523430, -1, 919218856, -1, 691039635, -1, 995772932, -1, 240703488, 985416351, 346216320, -1, 932549375, -1, 391125558, 268811480, 157791522, 277917112, 990920277, 139310029, 403198292, 175692278, -1, 633688271, -1, -1, 572115067, -1, 583591158, -1, 753338702, 353026252, 862411477, 981046973, 500720869, -1, -1, 89669856, 823584964, -1, 247093091, 67358494, 392587381, 925178251, -1, 153496604, 914587033, 777311272, 149491872, -1, 299918015, 829627832, -1, 218204594, -1, 450333073, -1, 529117152, 926313594, 96649121, -1, 21348692, -1, 235887493, 53716924, 33566567, 680336836, 151298161, -1, -1, 3993506, -1, 804305098, 524035350, 902766361, -1, 814046630, 255405953, 22724317, 396175298, 21993925, 855760274, 645742101, 746899272, 587982926, 553740917, -1, 944275691, 600690225, 50706625, -1, 915955613, -1, -1, -1, -1, 999197575, -1, 814879163, 765659877, 253546410, 382306850, -1, 115578571, 622214487, 218765112, -1, 193753982, 683696790, 897326230, -1, 750068973, 294567953, 66512692, 643562063, 643330298, 769000339, 101918049, 419857314, -1, 332369299, 208135968, 879193078, 497624437, -1, 95477886, 603905711, -1, 792575643, 226967446, 358490809, 345700632, 7650427, 695846997, 485496991, 961115407, -1, 686735076, 321029562, 238626203, -1, 719410221, 218903202, 514497713, -1, -1, 422227734, 37402203, 883419394, 236657115, 790881591, -1, -1, 928761786, 738717083, -1, 749586145, -1, 169338571, -1, -1, 51305925, -1, 748977939, 634962736, 632583707, 826227889, -1, 894041002, 104919130, -1, 26887538, 244572969, -1, 629126298, 839708079, 305029236, 794035648, -1, 535245281, 555242831, -1, 644585627, 492250499, -1, 620025264, 906926844, 883637159, 302504635, -1, 354417256, 219270947, -1, 99663046, 909200935, -1, -1, -1, 317654502, 572894192, 312048842, -1, 315242315, -1, 135764644, 651012388, 423663205, -1, -1, 181020642, -1, -1, 868354243, 979374262, 841979196, 587623827, 186916651, 537643070, -1, -1, 933662752, -1, 367728821, -1, 604345745, -1, 593424609, 705627196, -1, 306532340, -1, 595168715, -1, 859327631, 13276847, -1, 507400559, 626252326, 86662208, 651470360, -1, -1, 742849727, 242432116, 923241878, -1, 477214334, 740121708, -1, 817758538, -1, -1, 415965361, 49326914, -1, 106106701, 322765233, -1, 655441097, -1, 494954369, 567272480, 828616468, -1, -1, 87661482, 795680441, -1, 303414992, 327517303, -1, 471548215, 859017822, -1, 864633969, 190085050, 653314402, -1, 391900259, -1, -1, 146909861, 11605089, -1, 692422376, -1, 718634763, 574383562, 366671700, 648586528, -1, 56274392, 332063702, 524374330, -1, 965819065, -1, -1, -1, -1, 399326624, 700324384, 909375749, -1, -1, 277191408, 840907294, 976691005, 502830984, 71555480, 378522707, -1, 610740885, 525482816, 813798031, 57822995, 646299897, -1, 828841298, 120851694, 20854718, 583472669, -1, 994524585, 20319124, 485649888, -1, -1, 395400130, 868783110, 163138551, -1, 971384631, 52349999, 321722711, -1, 891750353, 801792675, -1, 311564395, -1, 70790379, 702636507, 245180713, 850257999, 565567649, -1, 506016084, 915623437, 112923521, 441290791, 192026996, 402126522, 653115104, 153933629, 183914677, -1, 522709285, 811423487, -1, 453999793, 899142719, 508117566, -1, 573975351, 201672485, -1, 195920109, 166142609, -1, -1, 112348449, 789329284, -1, -1, 626935595, 229563822, -1, 358810718, 845873577, -1, 754400018, 206461618, -1, -1, 502032070, -1, 426459985, 121236466, 92660217, -1, 49800406, 52773928, 83747631, 329507425, 534746931, 122359582, -1, -1, 965881810, -1, 26582998, -1, 31198655, -1, -1, 810541423, 372069419, -1, 563208075, 915074914, 71222644, 636128734, 131932984, 819687501, 979902474, -1, 277129874, 438273962, 468406792, -1, 836888520, 702739177, -1, 265143562, 652030852, -1, -1, 650509147, 760308349, -1, 336355587, 176964156, 361533586, 28305482, 343827386, 727532330, -1, -1, -1, -1, 290269083, 896186328, -1, 804232878, 48673315, 284116716, 1514252, -1, -1, -1, -1, 176599889, -1, -1, 432106291, 788746553, 270851234, 24793922, -1, -1, 651974601, 817125474, -1, 54313865, 49082522, -1, 884279621, 245528713, 776198327, 219732212, 256726093, 876769772, 643101896, 117730245, 160362003, -1, 216835731, 231870338, 911446610, 545436929, 645352973, 941556358, 718655557, -1, 253888258, 932877642, 472510297, 683406297, 482823511, 486298283, 548993933, 473871706, 30753579, 247673705, 169158237, -1, 304658674, 69630246, 841119859, 885928825, 690803799, 978565108, 595991760, 327632197, -1, 710624073, 179260447, -1, 734534677, 639053604, -1, -1, -1, 526780365, 366427989, 288120008, -1, 27754857, 907857604, 792847918, 29518374, 827966995, 600011518, 773924052, 66548261, 748110830, 748820980, 231719632, 598661892, -1, 600078759, 886248889, -1, 818268900, 488156160, -1, 955163725, -1, 679951050, 730089104, 593006704, -1, -1, 644016237, 625188212, 39016653, 952148676, 720392934, 715547195, 335225709, 943088474, -1, -1, 255261356, -1, -1, 666793413, 941774003, 653963224, 732089475, -1, 11991154, 67668552, 58823244, 272583532, 12975854, -1, 841587, -1, 899794136, 977447087, -1, 631983843, 842520345, 80368438, -1, -1, -1, -1, 67786804, -1, 441604888, 789003674, 31957647, 872932978, -1, 287222330, 820815138, 138139676, 39289802, 550820568, 407351242, 213233374, -1, 677786955, 397395427, 102355658, 348619800, 587346047, 893525081, 117768408, 327160370, -1, -1, -1, -1, 966326786, -1, 402435945, 538489284, -1, 731721366, 246692554, -1, 110859496, 901422437, -1, 900949283, -1, 175101733, -1, 71796169, -1, 659429211, 915687486, 931233133, 492577475, 240766945, 356763770, -1, 677858800, 33486671, -1, -1, -1, 630273339, 169819967, 711681397, 638307731, 753019469, 708408944, -1, -1, 281544820, 749220029, -1, -1, -1, 73893456, 232152372, 885065334, 97263925, 51435453, 104468356, 476692486, -1, -1, -1, 482315783, 810657383, 436850760, 784076075, -1, -1, 47498867, 753954132, -1, 390534302, 204058834, 724589268, 541886797, 74128182, 254309236, 642552835, 156179856, -1, 324183437, 988905602, 91263901, 563739859, 472584843, -1, -1, 798447453, 913377996, 100977366, 130858900, -1, 210290661, 275975878, 69847329, -1, 263632587, 289861484, 249553756, 90025439, -1, 367356162, 29166818, 149252783, 948533800, 450310273, 114943569, -1, -1, -1, -1, 533155414, 154559849, 745374155, 934747725, -1, 952131234, -1, 473497832, -1, 715611414, 895008339, 416048894, 809681711, -1, 712491451, 659770325, 440874455, 873948984, 374742308, 563631728, 426013209, 267002169, -1, 558675423, 435773412, -1, -1, 196897930, 544865699, 512683913, 983595890, 447090488, -1, 508590979, -1, 692257124, 696099320, 829952390, 341434945, 482900091, 426029554, 647191312, 648677523, 666425253, 669496720, 646741170, 250778757, 863536381, 871204941, 166477203, -1, 284248299, 824048021, 509605414, 312341365, 234918193, -1, 593755621, 989281494, 20965200, -1, -1, 401335401, 54894223, 74743310, 249481170, 52429614, -1, 649006503, 582941735, 63495242, -1, 945183491, -1, 904818128, 596377541, 516659376, 560971662, 745660869, 909555470, 578759126, 872051412, 79573005, 727075897, -1, -1, 551633743, -1, -1, 161857259, -1, 1946641, 66651576, 458399044, -1, 707833208, 840979489, 679050456, 814395492, 26374917, 209712375, -1, 147996518, 543508454, 270702061, 590035109, 967287933, 88169662, 172229439, 880963667, 390504639, 882749740, 571335273, 179380100, 202650977, 912468606, 436796640, 618686381, 213616710, 389684811, -1, 903123415, 602640979, 714157131, 565831731, 765161707, -1, 375647902, -1, 447266470, 33168989, -1, -1, 161992342, -1, 806335459, 46058686, -1, -1, -1, 143571610, -1, 494770517, 255296159, 461517914, 767443688, 756675079, 225113048, -1, -1, 339873123, -1, 864223606, 665528493, 865092334, 749623363, 579852228, 774149544, 338000055, 492719411, 254698071, 777098618, -1, 347719747, 532183207, 985447127, 387892231, 471984398, 783146230, 814867014, 419481793, 728460820, -1, 41825100, 983945065, -1, 529048519, 978822563, -1, 896988472, 965896082, 352075256, 311991960, 769851910, 823110308, -1, 800214118, 14573459, 529148647, 307419566, 689805203, -1, 670930071, -1, 902436960, 509623571, 126790791, 488811039, 733311605, 24140613, -1, 724164226, -1, 253494086, 369806846, 572546734, 839155062, 878606916, 11705655, 796335319, 980498250, 966666870, -1, 553831653, 250675171, 968415538, 979511672, 800345188, 739585897, 803165148, 723499925, -1, -1, 919616489, -1, 568846866, 76995379, 315828254, 290490112, 215869519, 803696523, 707300655, -1, -1, -1, -1, 133632759, 518350223, 398431541, -1, -1, -1, 7292020, -1, 332605390, -1, 649782235, -1, 626812483, 946567204, -1, 443519675, 196888311, 448506911, -1, 302087854, 319451046, 504686042, 323889356, 740578054, -1, 161377954, 695181635, 849960995, 480804812, 657100188, 260719766, -1, -1, -1, 988727901, 921154866, 118766868, 217971392, -1, 659608283, 147572213, -1, -1, 84176594, -1, -1, -1, 188542748, 521897600, -1, 666643254, 883998460, 689759525, 775377628, -1, 520589296, -1, 260056320, 199824131, 60506016, 664193360, -1, 927479509, -1, 316325493, -1, -1, 658654801, 445672703, 747354795, 907837284, 511708224, 438485203, -1, 712702033, 852886607, 521505740, -1, -1, -1, 672981067, 258186705, 160361007, -1, -1, -1, 316960266, 427322490, 219674569, 260959290, -1, 446212298, 644496247, -1, -1, 879424901, -1, 310406002, 397528369, 632212112, -1, 566897717, -1, 305407491, -1, -1, 362386141, 411978630, -1, 607049382, 105293164, -1, 759307887, 227196871, 654465676, -1, -1, -1, 819053925, 510823667, 971199855, -1, -1, 500044703, 142327073, -1, 478007646, 536272727, 311246450, 788475013, -1, 330616100, 921705519, -1, 357486330, 266937793, 871314912, -1, 280046727, 270558054, 999823666, 403135398, -1, 180280803, 538214945, 107404235, 184446197, 770262515, -1, 199838357, -1, -1, -1, 472097886, 52217791, 925806371, 973917369, -1, 109212536, 488903964, 478587398, 262565904, 311761050, 49718894, 832222347, 88158706, 856061271, 532417325, 108892451, 14708688, -1, 595861815, -1, 975076682, 966705571, 646792904, 14330918, 49550002, 985535100, 248935945, -1, -1, -1, 704128687, 861624747, 7755200, 578015645, -1, 249784617, 656521959, 219166018, 478830572, 48682475, 852446052, 243396744, -1, 155155977, 750144440, 275075941, -1, -1, 812023227, 146688974, 325571413, 351202032, -1, 384425130, 531586127, 548916712, -1, 4207732, 788854228, 357408265, -1, 38139351, 950656468, 25419378, 722349499, 558945503, 303927893, -1, 368222492, -1, -1, 754765690, 829246637, 554751944, 10703374, 307449492, 354484055, 28333366, -1, -1, 221976414, 565181059, -1, 494061890, 415619942, 317037197, -1, 627184771, 227550815, 661926749, -1, -1, -1, -1, 146147282, 612670534, -1, 54289178, -1, 64073732, 899744173, -1, 687600810, 270470212, -1, 681606223, 158508891, 418354630, -1, 435424825, -1, 529905689, 401905922, -1, 561585595, 471821716, 146967420, -1, -1, 181808448, 912668693, 458065931, 507704793, -1, 204780722, 231936232, 169670679, -1, -1, 5213659, 851194363, -1, 55732396, 586071225, -1, 866068246, 753487422, 64685303, 130538916, 846202513, -1, 536628345, 925644917, 624713644, 262101409, 906624962, 819901634, 997442812, -1, 765016779, -1, -1, 164908601, 868037196, 666291194, 327510082, -1, 574976848, 986030908, 578688409, -1, 909309333, -1, 9957112, 680195329, 145662125, 918157957, 482018522, 742256246, 202806997, 851604459, 887070719, 323506227, 691170675, 446103306, 287878801, -1, 178574326, 150783004, 247542574, 260500710, 67373033, -1, 199374033, -1, 990677956, 822952078, 754573101, 866703798, 615886757, 242714799, 947100668, 512878533, -1, -1, -1, -1, 279124039, 542797558, 132440573, 282755860, 907973331, -1, 769543270, 994834546, -1, 532729382, -1, 498088743, 338359765, 993629876, 91611812, 265506062, 20708190, 520391052, 225283119, -1, 715782725, 776301171, 475261124, 442112545, 105020262, -1, 475736515, -1, 828177923, 89793745, 780147114, 751489000, 275962232, -1, -1, 759644854, 328058782, 680177515, -1, -1, 115214863, -1, 718272809, -1, -1, 370550493, -1, -1, -1, 866755694, 177346210, -1, 489891778, 395600389, 95281237, -1, 33220782, 608780317, -1, 146172192, -1, 128270707, 519248918, -1, 237955428, 360159306, 737609060, -1, -1, 841073652, 366666760, -1, 251715386, -1, 725076428, 14914384, 994710947, -1, 652386479, -1, 433253932, 650981235, 90552411, 51375559, -1, 943538130, 519877661, -1, 623082477, 177543916, 125222862, 827962882, 806740135, 977441440, 785987160, -1, 682825876, -1, -1, -1, 369663221, -1, 56128386, -1, 736336485, -1, 372004874, -1, 829057009, 993415311, 445581621, 288037578, 887405761, 663362411, 468731337, 151344609, -1, 19992692, 244840673, 258863045, 286590989, 128486409, -1, 816867859, 710389249, -1, 781054447, 869849622, 46440214, 377042257, -1, 666241726, 21859601, 229210092, 560882888, 312283450, 932111412, 669674568, 474735959, -1, 203048957, 474847272, -1, 484221870, 718637698, -1, 221642285, 8105219, 627122889, 246122132, -1, -1, -1, -1, 480119835, 434974405, 178903593, 975440219, 633253032, -1, -1, 180796291, 926534076, -1, 855302102, 93804160, 845306447, 729071655, 115435542, 162903767, 847592937, -1, 765057505, 450118157, 173739494, 756674689, 943956996, 500435621, -1, -1, -1, -1, -1, 983939374, 635922969, -1, -1, 487982757, 524744249, 663495863, -1, 281765072, -1, 18073019, 265358535, 371446985, 281772000, 82500722, 967382057, 296488335, 158079401, 717617779, 543690592, -1, 644065269, 798215448, 586948059, -1, 935930861, -1, -1, 126736208, 286353694, 649738096, 829005333, -1, -1, 429950630, -1, 968532415, 283966672, -1, -1, 304619296, -1, -1, -1, 502803492, 317647350, 693026993, -1, 84715820, 41403910, -1, 280888220, 492238682, 44809025, -1, 484462173, 64934208, 31607544, -1, -1, 259615762, -1, -1, 903577506, 261209875, -1, 203065789, 502318927, 492209561, 554183339, -1, -1, 882039195, 174795112, 396714638, 715504786, 752449988, 562126775, 38967579, 306684151, 121821011, -1, 351848106, 391705303, 83708675, 855621754, -1, -1, -1, -1, 820018521, -1, 441930963, 531738416, 943714766, -1, 356276471, 851819282, 731788679, -1, 337033006, -1, 973552608, 899922821, -1, 870759724, 67091216, 760377944, 779074426, 741514571, 515197695, -1, 421295492, -1, -1, 556840667, 324199425, 421266922, 428610038, 920534580, -1, 961451983, 247669709, -1, 801340910, 268617728, 131549964, 237216839, -1, 971190488, 837271795, 948823704, -1, -1, -1, 551818615, 113556276, 994954262, -1, -1, 256421967, 573873352, 155579353, -1, -1, 17739999, -1, 547606109, 435088352, -1, 93206005, 658250699, 501722428, 135356175, 776811129, 294890178, 337816511, -1, 196732360, 188490840, 310151219, -1, 444045544, -1, 929907694, -1, 57872248, 710449771, -1, 455088630, -1, 123920529, 503306128, -1, -1, 133133589, -1, 488840290, 488458989, 835712574, -1, 335166100, 880303984, -1, 601202795, 284748588, -1, 914630284, -1, 461943517, 805833298, -1, 762630292, 892111380, -1, 330793380, -1, 144962849, 692763418, 581986182, -1, 812620382, 330851103, 306166053, -1, 9479169, 192714162, -1, -1, 26424386, 262230420, 517054591, 724694565, 791586859, 228646096, 128730844, 94446054, -1, 682248558, -1, 492569520, -1, 357681249, 818242355, -1, 156183481, -1, -1, 289686566, 383130297, 613485900, 436415607, 19145469, -1, 456935229, 295092938, 877143212, -1, -1, 32450457, 203072428, -1, 516447778, 470309438, 837682055, 785881015, 753166714, -1, 237233568, 730686525, 631648924, 659615989, 626656847, -1, -1, 956916078, 701121079, -1, 232618544, 63611723, -1, 759825188, 130491543, 805751033, -1, -1, 317722447, -1, 318319821, 444511644, 677070808, -1, -1, -1, -1, 907351172, 312906567, 104221568, 875490570, -1, 935291314, -1, 330995890, 771736013, 925765448, 648586949, 687671193, 564918626, -1, 552966026, 982688351, -1, 438736077, 619971568, 756049569, 658979622, -1, 300044460, -1, -1, -1, 622395283, 190965047, 208959111, 910966381, 969428374, 483766029, 554543628, 40339806, 21957089, -1, 665264239, 296571728, 946341031, 239856938, -1, 255684908, -1, -1, 331960021, -1, 22108847, 196924344, 891196642, 736961848, -1, 69646148, 984119533, 487321876, 901796784, 59545114, 382654073, 228919518, 109716166, 432672335, -1, 475807153, 397783266, -1, 62190217, -1, -1, 523655384, 243348368, 837329380, 440706383, 427908736, 541916171, -1, 679006940, 620166123, -1, 770374223, -1, 593231904, 666587806, -1, -1, 867643992, -1, 137242366, 968121546, 211031112, 349947931, 538707383, -1, -1, 971148109, 940923345, 758554839, 906414010, -1, -1, 155716687, 770086202, -1, 352270257, 692357093, -1, -1, -1, 115500829, 66373524, 329313518, 477359438, 968563978, 740092205, 719011993, 172096213, 86455282, -1, 332683832, -1, 907994078, -1, 353106011, 101954560, 640039603, 711220211, -1, 36665665, 763153734, -1, -1, -1, 196354847, 105639533, 312156640, 767354715, 696185145, 391736336, -1, 999613416, -1, -1, 980464351, 297806783, 10441060, 20307762, 741164334, 932531476, -1, -1, 847001422, 520028946, 837709517, 657412486, -1, 721600447, 683898724, -1, -1, 74694626, 970344271, 195694074, -1, 924037754, 310836759, 982430213, 657212913, 528086934, 592739727, -1, 955293945, 612110752, 768574207, -1, 922850700, 480134447, 382531780, 295558267, -1, 9630261, -1, -1, 949726479, -1, -1, -1, 425527381, 352843479, 318458497, 93047873, 900145957, 444722603, 811283960, 426629930, 856332037, -1, 919914329, -1, -1, 557488655, 670643761, 911731480, 198886396, 247854146, 818709855, -1, 551145354, 333840984, 529913545, 351560581, -1, 821296745, 463879531, -1, 674908768, 564595830, 531490352, 55898242, 642629521, -1, 385813456, 448977529, 521558490, -1, 511399856, 747527083, 382387841, -1, 4570564, 730858471, 700051672, -1, 962655735, 345939194, 203806622, -1, 424597886, -1, 365336281, 31411285, 587748064, 564534128, 714901020, -1, 473712917, 443117414, 87832552, 355033105, 785141834, 644577987, -1, 451964818, 519355279, 8346534, 396658681, -1, 55985966, 132357015, -1, 227136963, 71173607, -1, 592817751, -1, 843454176, 628125398, -1, 463456211, 394861463, -1, 502644530, 933301169, 398910705, 857128754, 406093754, 738206728, -1, 609308789, 976888070, -1, -1, -1, -1, 789003790, 743456453, 347752750, 399690613, -1, 878906186, 240426496, -1, -1, 213342591, 759099439, 241087510, -1, -1, 383446117, 966942996, -1, 79954749, 667986320, 169830356, 829733144, -1, 985935144, 214357655, 974515888, 673573018, 829726731, -1, -1, 967078565, 959147860, -1, 620709156, -1, 926930505, 490299930, 765344108, 531398819, -1, -1, 217024086, 451222698, 475499172, 814505658, 643709039, 137064344, 180766175, 267675604, -1, -1, 300088134, 288046484, 386127999, 575977802, 725387430, 58060321, 110460799, -1, -1, -1, 558391929, 333829453, 628312535, -1, 383440374, -1, -1, -1, 211392355, 775384718, 410756691, 272399824, 720028755, 615689497, 671591387, 229127730, 41557061, 961391115, -1, -1, 347797635, -1, 958518175, 607356816, 685026299, -1, -1, 819682554, 950743105, 245385130, 563460902, 937239205, -1, 954517012, -1, -1, -1, 435542476, -1, -1, -1, 843308322, 544455223, 883366740, 805643365, 578340248, 278804596, 690045406, 850789004, -1, 113953813, 124268474, 76110652, 545419257, 838584293, -1, -1, 982875572, -1, -1, 413354422, 543280624, 682064034, -1, 413820829, 43107079, 743459108, 153746138, 782132437, 592745114, 990612558, -1, 562171837, 761836730, -1, 676449365, -1, 132757777, 152073364, -1, 446062424, 843670556, 222519519, 753136146, -1, 650960559, 994221443, 899522579, 654175371, 91520910, 841303863, 472360612, 516232619, 382201381, -1, 194037953, 374216734, -1, 350879376, -1, 42293191, 576223787, 695025527, 675310452, -1, -1, 116798249, 839447394, 158444870, 395331035, -1, 531077879, 659485826, 661397145, 57763421, -1, 300533908, 17513333, 684807126, -1, 439291858, 801881027, 484729768, -1, 770271430, -1, 377267475, -1, -1, -1, 309409722, 416224272, 100767914, 352733315, -1, 907230582, -1, 273458119, -1, 742734031, 347190044, -1, 929439531, 688532884, 192321802, 243228276, -1, -1, -1, -1, 240534925, -1, 476655977, 313819631, 309951912, 217347527, 376381581, -1, 217344302, 591573426, 243999592, 485706004, 261567926, 93125538, 122734279, 714155618, 788238954, 451087755, 110871275, 259967684, 607072075, 978379288, 714490546, -1, 598515997, 53548788, 614677836, 275030925, -1, 996677126, 67864182, -1, 439083470, 645397509, -1, 294375907, 679582676, 544533605, 434106447, 70086042, 848610517, 323227664, -1, 461909524, 443568074, 861425538, 438024039, -1, 820164115, 966485506, -1, 30674290, 33141158, 894652, -1, 90652441, 740416405, 269424157, -1, -1, -1, 266445425, -1, 966990297, 154899379, -1, 10117586, 827947658, 848318625, -1, 707999264, -1, 263707896, 974502664, -1, 10622653, 871641405, -1, 572775254, -1, 572851596, 617340621, 917735118, 674398021, 228832010, 731008949, 623128519, 814552550, -1, 600826991, -1, -1, -1, 343429463, -1, 739335912, 251273404, -1, 880675622, 623106816, 964147769, -1, 262239286, -1, -1, 490755568, 986787018, 353410641, 950603029, -1, -1, 485210774, 720284653, 944680030, -1, 632735847, -1, 524241193, 43265797, 294166284, 534752823, 108706887, 619510914, -1, 110451884, -1, -1, -1, 137583914, 299138021, -1, 429349968, 566603191, 121182951, 50401965, 430167115, -1, 795446767, -1, -1, 104694013, 76400918, 282616339, -1, 187428369, 250970244, 500641448, 886507727, 112786421, -1, -1, 778203685, 913573680, 596975456, 467401517, 710457781, 998367344, -1, 411031359, 407926900, 960669989, -1, -1, -1, -1, 841321700, -1, -1, 588737341, -1, -1, 587285531, -1, 695352018, 44177429, 285389666, 112018419, 420180298, 98113434, 177993798, -1, -1, 200762961, 855007853, 608363297, -1, -1, 950328079, 485660843, 331553844, 727865117, -1, 841649409, 996476787, 525429436, -1, -1, -1, 202720862, -1, -1, 117257394, -1, 477728420, -1, 155063560, 224922176, -1, 125532253, 978192200, 286856208, -1, 53908994, 290010838, 29334180, 260902011, 344932060, 734175821, 502179176, 150991102, 31973707, 389510628, 131531665, 920243676, -1, 413865852, 405782289, 322280062, -1, -1, 999779123, 942312403, 263597229, -1, -1, -1, 536036062, 374448360, 548582286, -1, 81419037, 778114632, 132866629, 63087124, 857573661, 203667306, 747755738, -1, -1, 226028580, 218807785, 800114234, 778512182, 708538533, -1, 588598837, 634845510, -1, -1, 574963506, -1, -1, 99039619, -1, 879817135, 146939832, 238228729, -1, 936943739, 206757487, 337220969, 877956952, -1, 705162483, 928651793, 741564516, 721175685, 900815606, 594072096, 661722864, -1, 842469476, -1, 313501418, -1, 242941778, -1, 905113552, -1, 959453681, 477338723, 247403819, -1, 375108873, -1, 180792965, 16215636, 475368911, 742961385, 387615902, 442175140, 930924809, 719909469, -1, -1, 98035576, 695436484, 111975579, -1, -1, 369254902, 987024593, 256543973, 437513429, 908980856, 735461922, 205774001, 918933895, -1, -1, 995255486, 153095253, 508210986, 223727177, -1, 893502539, 400955310, 491901702, -1, 738429909, 434194105, 57013662, 929518662, 155611287, 891083733, -1, 472239790, 490968406, -1, 322964290, 880096721, 134844112, 133018451, -1, 154182743, 99641063, 815067353, 453532135, 869843713, 837972136, 640956862, 361178067, -1, 58939050, -1, -1, -1, -1, 61206282, 612358375, 499999987, 397889037, 591656835, 134883280, 705453539, -1, 862495194, 965235189, -1, 69846501, 49483744, 761683387, -1, 530560403, 8134294, 808511627, 706507347, 733579068, 940843779, 476823014, 772445038, -1, 653397055, 566344459, 681494965, 151100642, 528633509, 331449111, 513912047, 982474937, 305831145, 263757326, 282303687, -1, -1, 675201163, -1, -1, 951117000, 436882090, 934616871, 106704180, -1, 368687071, 842953872, 822655437, 70940389, 54627670, 411121592, 770567652, 729088233, 576764551, 12127923, 559595830, 620954254, -1, 639973258, 19169334, 975704797, 682464454, -1, 794485218, 463695, 535754451, 274821600, 708239838, -1, 875270873, -1, 860789552, -1, 58537944, 368725172, -1, 320254444, 132562513, 773347005, 946012244, 692675773, -1, -1, 22951526, 825698174, 561205826, 490159049, 276156466, 916985229, -1, 250666671, 848906728, 236529761, 605542462, 225592884, 742124573, 932885897, 908692921, -1, 967248679, 409712844, -1, -1, 210689535, 712133737, 165419217, -1, -1, -1, 898576748, 970625704, 920772044, 150806569, 834020073, 292306767, 508027345, 474663231, 468124170, 21359344, -1, 468727974, -1, 319939788, -1, 120390803, 289212545, 582707164, -1, -1, 433874490, 899676391, 133600796, 452347495, 744287257, 82438502, 483615455, 737154470, 854274273, 419435191, 46800123, -1, -1, 830930581, -1, 274183067, 927766095, 196313946, -1, 439812763, 820411110, 871646849, -1, -1, -1, 336874485, 378557471, 730979694, -1, -1, 814518981, 513282865, -1, 400726046, 986250300, 633556129, -1, 983201719, -1, 40292108, 789043582, -1, 606455622, 756564615, 966960784, -1, 771705122, 65766205, -1, -1, 22988231, 241299500, 695963121, 806846961, 255023440, 599728138, 716526513, -1, 496306050, 853295615, 540559949, 529728916, -1, 968036312, 228317742, 544612812, 49985773, -1, 128713289, -1, -1, 193008511, 752532210, -1, 812736222, 222625883, 955372805, 608443682, -1, -1, 146668716, 356491154, 912060551, 449618096, 114187188, 298101019, 20009296, 681390159, -1, 808777109, -1, 4060761, 264145995, 516488041, 38439399, -1, 73420922, -1, -1, -1, 114179429, -1, 630464073, 483931421, 206420576, -1, 787913469, 440311333, 519129160, -1, 655728470, -1, -1, -1, 501039284, -1, -1, 637559893, 937496797, -1, 871284789, -1, 12392020, 816386847, 146944706, -1, 64469869, 125211155, 778196698, 449432243, 167131660, 957365108, 321713156, 634779344, 448328984, 989092260, 571360125, 647710291, -1, -1, 549969334, -1, 18278794, 246671404, 65108080, 430894191, 801227076, -1, 270861721, 563670873, -1, 338984769, 299678181, 485161336, 253429065, 934883389, 770881195, 291527451, 542749033, 931501425, 651581379, -1, -1, -1, -1, 591227480, 432965769, 615287865, 913746624, 297634737, 822887176, 787183369, -1, -1, -1, 509433611, 607365371, -1, 932802046, 220268045, 40261725, 817299626, 234882326, 850322983, -1, -1, 122564417, 520239367, -1, -1, 530930086, 63225364, -1, 774549608, -1, 311629027, 147004780, 620013069, 219308180, -1, -1, -1, -1, 675849258, 330614845, 912367387, -1, -1, 162114811, 136250083, 223411067, 31231526, 712900738, -1, 404120431, 646640103, -1, 951757228, 750421486, 441875321, 362744967, -1, 684738069, 65189520, 222326039, 779189395, 405265206, 671167638, 963427326, -1, 837477891, 534649504, 763759549, 833584301, 285185010, 693727805, 276903701, -1, 621952179, 869463981, 297417724, 433921838, 664938596, 734633856, 530116471, 715093014, 971113572, -1, 140911432, 904615717, 223990913, 853633149, -1, 899013237, 184275416, -1, 137281412, -1, -1, -1, 960279901, -1, 567456989, 867825367, 926799565, 251352710, 54059493, -1, -1, 419914911, 768758375, 378460760, -1, -1, 294429633, 221955400, 851898706, 791209734, 79354155, 10184695, 93580585, 912971012, 804405351, -1, 684307635, -1, -1, 344813843, 345875083, 473152418, -1, 653884558, 641660237, 676917639, 240827032, 480474626, -1, -1, -1, -1, -1, 892827786, 146324087, -1, -1, -1, 601261211, 588911054, 401729605, 297099217, -1, -1, 504004152, 930669412, 256310889, 643712527, 452224648, 1873986, 446053954, 751015750, 811191979, 534082094, 68915931, -1, 256063752, 54640537, 126058047, -1, 115453246, 88470568, -1, 968549643, -1, -1, 90940983, -1, 833564981, 519396943, 970741974, 391621497, 478812124, 483753267, 133477625, 351607469, -1, -1, 205384295, 951457383, 362610628, 99475601, -1, -1, 730510413, 308367856, -1, 390485644, 272460780, 904265796, 940745290, 329769197, 694403005, -1, 219258412, -1, -1, -1, 43296256, 428942773, 73081736, 367849242, 104834536, -1, 17721494, -1, 749451922, 989002675, -1, 760454845, 928038088, 753474647, 950321764, 436653698, 14123963, -1, 908181524, 35743376, 56978521, -1, -1, 977129873, 832833756, 206220427, -1, 627289110, -1, 9492456, 552488378, 234371943, 425427233, 128578768, -1, 927355779, 242771798, 804766393, -1, 462249877, 859692783, 604154764, 230699734, -1, 81470587, 568925500, 900882664, -1, -1, 35554500, -1, -1, -1, -1, -1, 839400072, 491206955, 744718462, -1, 822797384, 177616602, 969514790, -1, 513606089, -1, 60067241, -1, 710775399, -1, -1, 104729882, 940676892, 961094246, 631066785, 824928646, 466303744, -1, -1, -1, 528769535, 523894552, -1, 748132324, -1, 45430729, 517354561, 554963814, 465797180, -1, -1, -1, 18626370, -1, 551113609, -1, 289576337, -1, -1, -1, 325781945, 402416304, 852126796, 802993029, -1, 490644291, -1, -1, 513247810, 988743530, -1, 417892888, 539829357, 818023486, 251102733, 19171260, 224111231, 477264378, -1, -1, 466971942, -1, 87488993, -1, 205218371, -1, 536710776, 228763185, 813950875, 599425570, 243852668, 542766575, 268805503, 528488364, 602542946, -1, 754220039, 196490981, -1, -1, -1, -1, -1, -1, 784907434, -1, 950216986, 385111508, 334155364, 820086496, 109757201, 591117585, -1, 520188630, 502529164, -1, -1, 582946837, -1, 9483209, 441669168, 659186275, -1, 765859312, 313141832, 130453697, -1, 801750871, 940237718, -1, 415063876, 571011169, 900560185, -1, 663414994, 898662449, 831402309, 245704882, -1, -1, 616702729, 200832708, 642965004, 347267344, 251074599, 337176868, 983659080, 309826429, 736691274, 988058319, 71525713, 922082379, 92466483, 583433606, 180697488, -1, 752113373, 667902675, 525944835, 342710434, 514226499, 111241528, -1, -1, 315229177, 606399303, 844064565, 174808970, 727566703, 59064578, 204623813, -1, -1, 97828316, 671497223, 186521936, 177673233, 477715356, -1, 122634114, 577992537, -1, 758905393, -1, 661949591, 34596160, 339347799, 114926450, 762560747, -1, 346838068, 243832335, 460405458, 367664212, 493058370, 976063104, -1, 60820439, -1, -1, -1, -1, -1, 253100682, -1, -1, 65264322, 243678852, 922516462, -1, 156264247, -1, -1, 60242953, 992365621, 151555628, -1, 562542384, 825710601, 61072502, -1, 691558299, 560277934, 981342852, 839934164, 219149755, 986778871, -1, 200224236, 417829631, 986898025, 493866014, 926675801, -1, 769733090, 433703050, 133347256, 796030791, 141402657, 362394772, 663624639, 15083351, 993887092, 7141025, 1490793, 933244506, 42846972, -1, -1, -1, -1, 802619286, 19705686, 945677314, -1, 795257296, 917971826, -1, 172914227, 38919072, 156391711, 670217607, 684106770, 916656937, -1, 514994816, 179269058, 626571357, 471801904, -1, 932920219, 279830390, 738102754, -1, 19459208, -1, 606554841, -1, 258800061, -1, 827597972, 366089590, 743316583, 360411965, 940005150, -1, 647420135, 325761076, 33445391, 680441684, 655061417, 546913034, 729555536, 587160543, 224252963, 874688418, 257733833, 256710213, 55859837, 687682908, 879847453, -1, 337208303, 13307792, 158226653, -1, -1, 919710342, 26429329, 365439242, 871189926, 868945062, 929149746, 170765453, 503241722, -1, 924532047, 6530462, -1, 139169738, 981204482, 426773038, 550382785, 984878646, -1, 326032604, 626875088, -1, 178897146, 580014081, 789428510, 156724894, 31151759, 205421914, 404268729, -1, 865004356, 809217012, -1, 221404362, -1, -1, -1, 704002449, 658055372, 509114625, 456503664, 741247420, 892144708, -1, 835776672, -1, -1, 428087060, 49715472, -1, -1, -1, 46846082, 489082711, -1, 953572260, 5500815, -1, 659767899, 907990291, 892454976, 131641473, 710296065, 160936790, 180347602, 100013338, 200807926, -1, 146185573, -1, 688435530, 870966904, -1, -1, 344625801, -1, 827985216, -1, 291550128, -1, 53739541, 975739817, 271277984, 726247025, 98561337, 261660073, 59814926, 46464150, 910379899, -1, -1, 532774065, 579292688, 925215624, 216329887, -1, -1, 32002114, 357608151, 686095826, -1, -1, -1, 893253245, 231655003, 14864577, 233387160, 17113474, 869318052, -1, 922589763, -1, -1, -1, 906389024, -1, 721288324, 166582114, 677448698, 114875129, 943592067, 604533800, 344746114, 176154438, -1, 209588904, 191695674, 799088646, 665665581, -1, -1, 339791340, 400275019, -1, 668842625, 386792586, -1, 214199000, 57904433, 12314030, 668873301, 862269411, 905338327, 409915553, 603761200, 256761415, 573601507, 515276084, 763901344, 609364929, -1, -1, -1, 41376031, 379869743, -1, 506157198, 640000167, -1, 861662627, -1, 819430397, 335275903, 916434988, 281212957, 469952514, 479038802, 46874166, 101765420, 168764929, 177093156, 977823408, 363862200, 16433440, 887214892, 940845472, 81828033, 470818556, 366746634, 317718967, 536284961, 200052365, -1, 7203815, 52245584, 330660849, 587190643, -1, 154714631, 678167204, -1, -1, -1, -1, 327300586, 85529220, -1, 612990948, -1, -1, -1, 701048807, 222863531, 874798580, 128465054, -1, 829049949, -1, 134753106, 576638206, -1, 89786316, 719673508, -1, 907925582, 309368263, 182886036, 388188480, 556747369, -1, -1, -1, -1, 244232966, -1, -1, -1, 465277335, -1, 613997364, 184791922, 463077679, 404710455, 289821316, 291344987, 148154653, 452415984, 128501050, 563716577, 218476208, -1, 792114563, 797177540, 161345769, 418854441, 833686800, 423878357, 108500212, -1, 630788756, -1, -1, -1, 888998132, 886624033, 987319347, 33909386, -1, -1, 288528065, -1, 310510042, 455279866, 465339450, 555974243, 586113407, -1, 686198653, -1, 255653635, -1, 100406369, 48093587, 20043161, -1, 991319422, 914582058, 375115148, -1, 329850905, 46155031, 975396755, 760476174, 495475569, -1, -1, 681820209, 296753797, 879993210, 289304085, 587530074, 943797535, -1, 499533856, 356126145, -1, -1, 309828245, 876366907, -1, 26178270, -1, -1, 630853547, 298355043, 65145962, 409822602, -1, 806355301, 490788571, 153248050, 393002642, 392043186, 236598242, 327839029, 495772853, -1, -1, 932019737, 274368082, -1, 241735063, -1, 281358310, -1, 844776592, 905686605, 99765107, 598853993, 191125789, 380476030, 698061534, -1, 479448908, -1, 24134533, -1, 107449004, 830788598, 762908440, 916843690, -1, 334222635, 593368601, 900183457, -1, 997423397, -1, -1, 616120733, 593977666, 527677960, -1, 11425349, -1, -1, 357287887, 360646256, -1, 757810685, 515418163, 452253918, -1, 416169824, 974346500, -1, 473614100, -1, 909299910, 73652959, 367249469, -1, 313766994, 347585462, 887312687, 993816605, 354712770, 655412832, -1, -1, -1, 378184493, -1, 240612252, 112573070, 965234411, 900232443, 430741025, 605027324, 173432072, 229354629, -1, 959307520, 17045104, 72008976, -1, -1, 558346301, 972010228, -1, -1, 534336983, 110879795, 495281478, 159631354, -1, 347047244, 285955485, 111516177, -1, 673642279, -1, 838416399, 962030785, 649585176, 600815384, 692648450, 217970692, -1, -1, 67840659, 652993360, 401631851, 441100321, 622410753, 531564859, -1, -1, -1, 749152985, -1, -1, 610763171, 373512523, -1, 482461412, 374844293, 314768526, 80194841, 221596561, -1, 7142330, 200774394, 357578091, 104791822, 395596167, -1, 568970223, 799843781, -1, 304565654, 538086415, -1, 147987241, 935563431, 323875698, 630755011, 492399265, 284217400, 73833402, 101759166, -1, 139138958, 780721239, 819637091, 158874432, 275215878, 998333082, -1, 156577723, 917601195, -1, 190668594, -1, 947696852, -1, 240669652, 969484554, -1, -1, 501563551, 15194150, 982192996, -1, 459441915, 308087178, 860527267, 909875448, -1, 948418996, 55738561, 728467755, -1, -1, 987491606, -1, -1, -1, 59659167, 404713907, 464620408, -1, 184490200, -1, -1, -1, -1, 180174174, -1, 77519061, 473834632, 572857093, 344342230, 139580724, 482532960, -1, 259407650, 988580799, 295337539, -1, 234074751, -1, -1, 553589137, 548201888, 348589697, -1, -1, 572953734, 417673269, 387522853, 52471923, 707028824, 298272848, 871496508, 699958431, 460340420, 266373659, 787392468, 389096901, 601279604, -1, 275910556, 975184966, 113107471, -1, 944440175, -1, 389696797, 576103358, -1, 490024559, 696830316, 752362724, 61444676, -1, 932496178, 266981396, 64041150, 504822533, -1, 426602302, 995960052, -1, 277873318, 299819859, 928404982, 920378286, -1, -1, -1, 60399306, -1, 472974112, -1, 14031993, -1, 91944161, -1, 198305135, 201899275, -1, 471073295, -1, 823970973, -1, 243199647, 343219059, 596721130, 301338955, 153731737, 87242413, 785180451, -1, 761579988, 995038662, 670998249, 411459139, 268693924, 742207794, -1, -1, 864596748, 850785270, -1, 397561846, 709393391, 853543118, -1, 475473229, -1, -1, -1, 934720617, -1, 452174487, 421318101, 4187794, 211101213, -1, 650518286, -1, 948205874, 240272726, -1, 714819387, 529703963, 210091237, 495636903, 119305063, -1, 85768640, 818644172, 43987860, 664442634, 988774249, -1, 515606192, 323370323, 67909312, 953637861, 694373948, -1, 426637658, -1, -1, 924208544, -1, -1, 844624489, 419853916, 395025521, -1, -1, 731383509, -1, -1, 95953503, 773713069, -1, -1, 284160365, 651442658, 506321083, -1, -1, -1, -1, -1, -1, -1, 460518156, -1, 613855444, 98257335, 497604431, 238207172, 754741979, -1, 44624262, -1, 718832061, 237587461, 125682409, 100267876, -1, -1, 201953144, 240411207, 557282604, 150960898, 971984552, 870747338, -1, 303492867, 729210259, 653882325, 117315225, 735116251, 918016401, 547786743, 735402537, -1, 420021724, 475154051, 211667670, 308526181, -1, 264458675, 897441646, 776407746, 666017894, 287895917, 717408338, 200208605, 486286885, 384891348, 966844062, -1, 418205210, 516757074, 569786459, 255263926, 390385107, -1, 742249695, 442728724, 70098440, 88398965, 257722916, 890799440, -1, -1, -1, 830471803, -1, -1, 536660457, -1, -1, 342183765, -1, 441492879, 938626413, 558085131, 512831020, 63359329, 320925166, 849131471, -1, -1, -1, 491927743, 946370817, 70269337, 320727092, 963843033, -1, 5574340, 694321319, -1, -1, 676531180, -1, -1, 378788954, 563791347, -1, 429124678, 843673886, 28609285, -1, 553876425, 546879895, -1, 578450104, 88334381, 782264770, 253683823, -1, 774877199, 298224452, 712755600, 672836821, -1, 620358425, 158389622, -1, 431822174, 72779051, -1, 993113600, 198827220, -1, -1, 915286604, -1, 74115950, -1, 71547856, -1, 32595302, 837888487, -1, -1, 971439957, 686118335, -1, 233042507, 870382432, 678344428, 944560838, 561573910, 50178302, 267422999, -1, 550089844, 786281556, 817197859, 896029912, 885756879, 656871074, 464064796, 863079280, -1, -1, 516867617, -1, 154845078, 96679124, 720032397, 53402455, 841980243, 5521945, 536512223, 372413280, 500710424, -1, -1, -1, -1, 559626253, 408065806, 461601889, -1, -1, 28733537, -1, -1, 908824722, -1, 239096217, 111937686, 835747780, 373472584, 357070878, 900771598, 895925827, -1, 709361864, 976209276, -1, 443811814, 148416542, 66010496, 290880891, -1, 888382761, -1, -1, -1, 776086261, 840487318, 880302150, 183744424, 372211893, -1, 886866173, -1, -1, 898822409, 631582763, 504894251, 875339949, -1, 186365410, 534661768, 198376052, 867765649, -1, -1, 512667240, -1, -1, 965652956, 346445475, 595944786, -1, 220984784, 512783302, 81503687, 482698365, 740965706, 543235601, 848628394, 588987477, -1, 958948893, 647641159, 472984844, -1, -1, 996127030, 219257946, -1, 149946933, 39028897, 13870564, -1, 511767378, 799760067, 731353669, 15609799, 19087949, 405411691, 940389673, 513637227, 771447133, 423779628, 771038879, 485679453, 394306981, 509264623, 125938412, 189316661, 952527003, 373486481, -1, -1, 595590890, 95705787, 673476946, -1, -1, -1, 713515512, 729631738, 971896252, 653081188, -1, 679676304, 729873866, 927178576, -1, 620880120, 686382264, 79488454, -1, 672944626, -1, -1, 85068839, 127729061, 877681090, -1, 192952518, 612289908, 869931219, -1, -1, 336727461, 313833315, 589260718, -1, 503999479, 166385206, 12979677, 163757650, 869324685, 612590712, -1, 127682214, 2700715, 482713716, 755617913, 879496329, 447520189, -1, 903091117, 894943254, -1, 196770177, 230444813, 707077817, 988070491, 611548414, 756923362, 664366584, 582502961, 353617599, -1, 33606659, 643141937, -1, -1, 105612837, 890720958, 384279288, 877224907, -1, 706909411, 17927416, -1, -1, -1, 479101558, 748390097, 246479210, -1, 323201080, -1, -1, 274872644, 120495086, -1, -1, 968922825, 540589388, 556551237, 343243912, -1, -1, 379188895, -1, 275257105, 510670703, 429618591, 206687591, 588348290, 147818258, -1, -1, 443381067, 613618541, 440093031, 507636312, 144470071, 470895753, 84979934, 42923426, -1, -1, 469153128, -1, 833934183, -1, 230026981, 586312915, 852507353, 60561122, 157625177, 704416549, 209448473, 820464526, -1, 518826291, 674824623, 328618646, 180037369, 790845482, -1, 240482160, -1, 941737476, 704189647, -1, -1, 991752392, -1, 764017447, 396864691, 17947216, 281327977, 918587928, 975077617, 780259889, -1, 678409136, 213644879, 177671268, -1, -1, 666173297, 295399685, 397084523, 880667341, 650728392, 971636044, -1, 326927752, 855518232, 700896465, 64217105, 882304578, 726517635, 927577154, 6614507, 991773780, -1, 183893518, 832858288, 231414132, 538487208, 721132380, -1, 715671956, 743151535, 367625744, -1, 817326306, 582866960, -1, 185798000, -1, 522534223, 533944332, 524364651, -1, 886411430, 160736041, 393348532, -1, -1, 799226757, 144912872, 236186577, 662439148, 440234773, 735285558, 121519143, 344957163, 419525189, 815352018, 530115790, 120768062, 197156129, 251097789, -1, -1, 262699238, -1, 494859322, -1, -1, -1, 390659598, 20032402, 705006998, -1, 578183951, -1, 612772851, -1, 288274241, 969581690, 480675629, 694683012, 278692649, -1, 153185479, 840329895, 474151919, 530824194, 839386997, 548708360, 726817491, 595321696, 185207471, -1, -1, 78642519, 162624037, 775425482, 965407587, -1, -1, 245146790, -1, 851310751, -1, 763159746, 718363182, -1, -1, -1, -1, 594449743, 958326288, 461898033, 636319808, -1, 643289663, 573099517, 363581827, -1, -1, 313728414, 226301819, 957102520, 844204783, 159491993, 797494703, 44529086, 981255907, -1, 910077341, 494391912, -1, 942596431, -1, -1, 700839948, 384892891, 359803749, -1, 581993759, 486565243, 332482378, 608639284, 352130419, -1, 410651697, 763610739, 278536615, -1, -1, 781116023, -1, -1, -1, 874221872, 943263153, 906115527, 501668953, 962697757, 270979646, 68415575, -1, -1, 589778632, 32093296, -1, 859744745, 842084785, 545204844, -1, 547850593, 193899896, -1, 526668172, 855761721, -1, -1, 517131593, -1, 552660633, 266536815, 587909913, 133298229, 662386099, 696539574, 884514587, -1, -1, -1, 243097317, 683093338, 668775681, 215097170, -1, 139800833, 983029304, 915691838, -1, 65228686, -1, 573834900, -1, 717702929, -1, 548202644, 52260698, 558002112, 601121092, 123647753, 37093603, -1, 835662861, -1, -1, 746872578, -1, 603124077, -1, 182127036, 832600688, -1, -1, -1, 235491933, 951870276, 807843983, 298352089, -1, -1, -1, 699018330, -1, 847694985, -1, -1, -1, 21963098, -1, 896115442, -1, 157472264, 555377341, 188628729, 266875055, -1, 716438174, 480549689, 273881817, 902946651, -1, 289411282, -1, 386100029, -1, -1, 686579150, 277030853, -1, -1, 980265121, 407446924, 814122602, 727640837, 356009150, -1, 251439361, 604838274, -1, 610735863, -1, 217779082, -1, 989101312, 861963509, -1, 151671695, 425394242, 456170997, 146182316, 143044247, 89638073, 186700678, 325530847, 375515229, -1, -1, 57180182, 373403693, -1, 822165735, 640118528, -1, -1, 13688802, -1, -1, -1, 421885178, 963476105, -1, 424803900, -1, 299201326, 528505143, 264838747, -1, -1, 188025900, -1, 182235594, 128286990, 781594012, -1, -1, 835337354, -1, 266098102, -1, 580459283, 730600566, 974802519, 839503815, 659717801, 548918976, 62326512, 401848573, 50235397, 629215984, -1, 291146472, 149655294, 443623584, -1, 905503557, -1, 740255189, 592718060, 180794135, 440613317, -1, -1, -1, 705789992, -1, -1, 292235644, -1, 482081708, -1, -1, 117568385, 861562010, 395616879, 258186439, 343890772, 281017423, 671186862, 300522745, -1, 573783958, 991996092, 809456297, 750724618, 31457137, -1, -1, 269991642, 862127900, 598313281, 291044, 21276554, 290439579, 812103559, -1, -1, 430230786, 250561269, 872474273, 7976245, 104256024, 615323985, -1, 820228081, 665702520, 686613362, 418586949, 176112156, 324906885, 894215526, -1, 880147462, -1, 488232812, 179758272, -1, 240523387, -1, 843204702, 2467788, -1, -1, 219050580, -1, 43737811, -1, 432682979, 188212271, 272658290, 528977109, 308223619, -1, 279057958, 984974096, 216128846, 117929526, -1, 283067254, 914514412, 450010900, -1, 186083264, 941851888, -1, 736744270, 112979633, -1, 982018987, -1, 557614160, -1, 953769147, 360154619, 30923993, -1, 334868644, 837257213, 257529762, 468478863, 458372134, 372667461, -1, 50434130, 179471231, -1, -1, 963026081, -1, -1, -1, 267472294, -1, 881595987, 411436194, 798557655, 573623293, 251154565, 831424464, 514238966, 447571921, 359128596, -1, -1, 402413483, 496899847, 457039797, -1, 177718736, 714015519, 152502484, -1, 890274313, -1, 902467857, 972251685, 411712096, -1, 795949703, 807535162, 339769839, 428579163, 942480039, -1, 562803092, 443076634, -1, 151052051, 418907155, 42609744, 344964221, -1, 174544984, 311386640, -1, 670927358, 50788417, 611918485, 650735910, 901425158, -1, 509332544, -1, 788741184, 987677669, -1, -1, 558100717, 527983943, -1, -1, 616069120, 941525605, 891261543, -1, 49663203, 322663933, -1, -1, 409284763, 811917269, 490018904, 924147627, -1, 623211102, -1, 841959299, -1, 817856153, 323310355, 783011298, 939911315, 2713852, -1, -1, 352214867, 495651349, 752836386, 973750403, -1, -1, -1, -1, -1, -1, 197637962, 443951220, -1, 659495381, 190172270, -1, 478130971, 680405617, 946644574, 993760354, 67959455, -1, 171162921, 361007686, -1, -1, 689086006, 222961481, 530598011, -1, -1, 254050331, -1, 691834295, 370912188, -1, 143472971, 442761757, -1, -1, 635419321, 958972203, -1, 851171524, 87384561, 766965701, 407234308, -1, -1, 897189094, -1, -1, -1, -1, 737342109, -1, -1, -1, -1, 751041533, -1, 679075550, 429654589, 703097203, 458084675, 658773378, 725336581, 644718462, -1, 705546214, 618865922, 619377369, -1, 414458919, 191690735, -1, 80639360, 155522356, 755613925, -1, 919883090, 81249855, 73350658, 359159324, 300963109, 471733984, -1, 924576838, 535432329, 546157282, 301496364, -1, 615371725, 916323967, 444836146, 824673747, -1, -1, -1, 736376467, 166124129, 294043737, 988930266, 328691535, 990333761, -1, 858041944, -1, 919579034, -1, 583510618, 75314123, 297267926, 75406357, -1, 892608878, 717779070, 89365038, -1, -1, -1, 950578931, 140272730, -1, 278172027, 541435505, 752603852, 10305209, 196714962, 757429222, -1, -1, 744533108, 368829766, 60880212, 671882196, 969284111, 479713458, 91261890, -1, 74767679, 337880859, -1, -1, 126138032, 851535671, 885891140, 109112545, 199298713, 602160268, -1, -1, 979445806, -1, -1, -1, 271916094, -1, 344403080, -1, 443496296, 620839500, 219322265, 273227635, 593094943, -1, 430356660, 732536479, 196801203, 544822195, -1, 973242125, -1, 504131806, -1, -1, -1, -1, -1, 912497271, -1, -1, 874290351, 115558316, 214130985, 989071166, 354420155, 679327614, 992190999, 243048584, 621088916, 486303100, -1, 996696999, 320454626, 865469085, 402266321, 364678110, 270603729, 352166536, -1, 152054173, 72080408, 333450259, 590716581, -1, 2674953, 170074338, -1, 400743907, -1, -1, 616901129, -1, 823579099, 508580648, 275477977, 654532017, -1, 47120872, 543727344, -1, -1, 429906405, 847493913, 599833108, 865317535, 108010210, 722855982, 245699322, -1, 15738539, 347967984, -1, 943968411, -1, 624087237, 495455767, 84847673, -1, -1, -1, -1, 455708594, 638195939, -1, 295022027, 195807589, 540835200, 342577112, 265907046, -1, 848358696, 611214870, 477196496, 419154314, 289453989, -1, 81621659, 825699245, -1, 312879624, -1, 499833870, 205384251, -1, -1, 887367833, -1, 374326522, 349868252, 327308259, -1, 748746527, 993694974, 484249824, 772952538, 869792754, 533955799, 786421924, -1, 594845282, -1, 546373521, 843120369, 634740828, -1, 988172350, 680171896, 373027064, -1, -1, -1, 965784676, 148825250, 231194960, 869495277, 493417087, 979645696, 949643107, -1, 776812077, 38321877, -1, -1, -1, 874441106, 871259832, 330455090, 295576030, 681663241, 799781861, -1, 600819167, 623696087, -1, 201774817, 936021583, 79650965, -1, 853296036, 491563489, 769446428, -1, -1, -1, 833769918, -1, 679074960, 21600006, 848994224, 376460179, 290410211, 93650773, 237189773, -1, 324660332, -1, 320640842, 364923800, 558945783, 821911689, 956098559, 127915146, 623797781, -1, -1, 588009175, 328746209, 441712363, 107060926, -1, 791444012, 393396927, -1, 497853422, 506692420, -1, 315902057, 595441128, 738645295, -1, 31976045, 81299899, 964154082, 36981634, 336308539, 465478050, 304226284, -1, 249401959, 633938590, 261716504, -1, 568547760, 294051761, 80081555, -1, 652663227, 249734349, 758025277, -1, 551143935, -1, 288896835, -1, 541454725, -1, -1, 848136227, -1, 318252641, 627512631, -1, 784495332, 149471747, -1, 517510805, 823142002, 520329993, 140892397, -1, -1, -1, 384091141, 313826257, -1, 41172927, 817344043, 949636462, -1, -1, 876245559, 508716689, 841961480, -1, 536413816, -1, 679860931, 32754150, 637600372, -1, 953458587, 557822628, -1, 514518849, -1, 594620686, 413684486, -1, -1, 510179289, 647882719, 48716024, 851131590, -1, 440048992, 328283804, 269517011, 191336137, -1, 772403569, 797517699, 718515173, 757328206, 473254856, 735423234, 267217136, -1, 745228772, -1, -1, -1, 745382889, 37902461, -1, -1, 606924955, 138851050, 392766506, 443331171, 973989463, 205305409, -1, 570299712, 409691156, 979851280, 887142508, -1, 52731402, -1, -1, 697239780, -1, 332922354, -1, 189022010, 549893851, 98367999, -1, 413825785, 775454674, 505900739, -1, 563110586, -1, 242418291, 82108015, -1, 288446365, 174366414, 8902633, 988658104, 407073525, 544269306, 649019993, -1, -1, 974377693, 505982875, -1, 606182061, 343035160, 958351171, 216334498, 47104697, 645257802, -1, 580128046, -1, -1, 337183905, 243114568, 512425551, 742870138, 708669069, -1, -1, 450577822, 605837870, 299246930, 590005530, -1, 339130544, 557536832, 974421725, 208679866, 251443011, 847357401, -1, -1, -1, -1, 824350632, 46903486, -1, 931302826, 674834321, 601637418, -1, 329155298, -1, -1, 999797545, 791156244, 632572635, 807268000, -1, 800361795, -1, -1, -1, 175609400, 512083961, -1, 254693975, 246619855, 852863637, -1, 550190895, 982633213, -1, -1, 17597681, 354734182, 889464242, -1, 716432997, 341344920, 156265481, -1, 896020376, 874138444, -1, -1, 457051691, 312684347, -1, -1, 963121278, 877284756, 546989957, 494786188, 237643505, 1137150, 33004196, -1, -1, 642056765, -1, -1, -1, 805600829, 986294443, 128410570, 291667890, 401933858, 133986929, -1, 559537063, 943708666, 327846117, 74031821, 743610648, 542632729, 785051357, -1, 786608807, 193488964, 791782786, 169165986, 946595418, 929457280, 350789424, 875199680, 895867652, 288904485, 492646971, 600262900, 922225469, 373368051, 339848754, 385790767, 576177734, -1, -1, -1, 136390783, 294448033, 456207680, 292462210, -1, 394710097, 704669321, 980131891, 445254307, 750623482, 644007792, 432622343, 402817086, 423068937, 250137895, 961896261, 29809802, -1, 378122883, 275176630, 996647106, 29209943, -1, 781226634, 935726619, 161031694, -1, -1, 926164630, 551538681, -1, -1, 989341653, 87497897, 810886019, -1, 361025809, 860042730, 81806083, 214182203, 915226925, 683186820, 192444079, -1, 807060047, 996513914, 30169834, 710862497, 275744186, -1, 603064507, 389568547, 318576364, 724181096, 779128200, -1, 82713725, -1, -1, 884404896, 22368521, -1, 557273866, 930111713, -1, 321238615, 801464944, 245809768, 178892716, 896115490, 958280315, 79115715, 782357190, -1, 25527079, 674698676, 894801255, -1, 517506769, 262537186, 757396703, 390752410, 210586045, 522454407, 128160715, 764729248, 294103834, 71714463, 424882066, 136589292, 634999568, 15143522, 824542893, -1, -1, 106788310, 807604688, -1, 700256405, 106249307, 996439209, 624859933, -1, -1, -1, 23189427, 830401242, -1, -1, 893292259, -1, 769916691, 543407328, 219936411, 946708146, 930490718, 279527803, 255593958, 363794252, -1, -1, 362903573, 491806980, -1, 920223833, -1, 975210442, 854548958, 409650253, -1, 185559824, 583819025, -1, 343472725, -1, -1, 649010135, 373877686, 793530733, 355901448, 8870526, 246893338, -1, -1, 202502357, -1, 506638222, 85011274, 559177423, 736027123, -1, 79054749, -1, 329046474, 848382040, 918104265, -1, -1, 246862000, 324889879, 827494245, 527236928, 596169817, -1, 53695631, 89416210, 413848132, 966844403, -1, 619682617, -1, -1, 741980496, -1, 33106232, 462482466, 339222941, 768525941, 794799823, 552071141, -1, -1, -1, -1, -1, 995425886, 989012343, 761798051, -1, 154621160, 5018358, 600484264, 401503625, 720847440, -1, 231628199, -1, 475170019, 679329585, 778775765, 967689464, 342530707, 491280400, 889243685, 647625624, 453585029, 15280240, 926159047, 363138131, 644009075, 180545108, -1, 144432223, -1, -1, 982596338, -1, 364126130, 262966975, 367158646, 22653568, 987917508, 139481204, -1, 117633775, 597281461, -1, 309012746, 418006555, -1, 971699581, -1, 622758791, 210321089, -1, 417355625, -1, -1, 600756540, 595784934, 963548357, 698254704, 690661425, 976777924, 509196872, -1, -1, 885760964, 510637735, 985919471, 192825590, -1, 218476852, 9196598, -1, 23309874, -1, -1, -1, 846420667, 380957057, -1, 765534039, 303401357, 981200272, 781958693, 415108195, 534498904, 788744456, -1, 14968495, -1, -1, -1, -1, 447276645, 284906759, -1, 597019457, 850670294, 407314952, 21408102, 657779005, -1, 767067364, 36158749, 530033344, -1, -1, 951481959, -1, 258268637, 529041093, 865831674, 139666835, 961872416, 391841900, 609294801, 621370427, 383319698, 688634274, 95139654, 491456247, -1, -1, 684278440, -1, 229990232, 311997096, 91076576, 702994198, 347064450, -1, 179349226, -1, 282759068, -1, 659239666, 182054873, 914443245, -1, 258851444, 779531162, 763808597, 328413544, -1, -1, 964633495, 4134715, 334980367, 813693993, -1, 232150261, -1, -1, 633948663, 472084190, 824773370, 252057408, 792361445, 226604696, 931244504, 976124701, 481495523, 942120723, 787033215, 385433415, 210730749, 610973873, 885851342, -1, 612363400, -1, 31739032, 115441749, 214667701, -1, -1, -1, 291321299, 944884172, 724489822, 836121639, 939379703, 318780799, -1, -1, 180656577, 623039584, 632531675, 520232318, -1, 121876460, 831846335, 451343896, 607947466, 602386004, 206155913, -1, -1, -1, 926624387, 103115189, 758225071, -1, -1, 596280832, 918100147, 816173298, 557077520, 125005063, 370986859, 609620703, -1, 677410679, -1, 215097760, 154814309, 367980138, 923826239, 159781635, 87347174, -1, -1, -1, -1, 951718486, 290140261, 114546652, 710658659, 805256318, 512243857, 613260873, 29180450, 6835688, 534174376, 608700151, 105684965, 554387350, -1, 58468811, 472544344, -1, 23032666, 859755877, -1, 847858000, -1, -1, 543393001, -1, -1, 777994922, -1, -1, 160858328, -1, -1, -1, -1, 501317792, 43441581, 531538173, 986983231, 321510566, 970727350, 535615326, 243051356, 71265462, 765230386, 829180778, 471890552, 452050268, -1, -1, -1, 563729235, 706936367, 203349783, 927495350, 29076942, 849221912, 437580885, 416490130, -1, 808749973, -1, 300732132, 775906679, -1, 560369260, 820988610, 839621105, 547654305, 246148869, -1, 645903392, -1, -1, -1, 55909238, -1, 816821439, -1, -1, 479363348, -1, -1, 118787241, 701715591, 745890511, 291585399, 181772768, 356885589, 20565355, -1, 982387987, 947677275, 917930952, 807245209, -1, -1, 942172100, 944356579, 990714818, 4876439, 61467092, -1, -1, 212977798, 488122155, 592272659, 385536039, 662073555, 23040615, 801131494, 903079719, 770372907, 73150730, -1, 946001060, 547353431, -1, 70518828, 138681260, 945377820, 607383941, 755852699, 681400845, 238483124, 705585997, -1, 772931672, -1, 312424109, 860376054, 413653131, 295825263, 263109036, 448066775, 972344670, 956269294, 367177538, -1, 790305660, -1, 14590693, 185590443, 420841656, 763726197, 538453112, 523675243, -1, 62184839, 467117705, 160985579, 26207837, -1, 816837469, -1, 783078140, -1, -1, -1, 817111405, 544089074, 421689412, 988232027, 455740358, -1, 722818354, -1, 290063774, 204335387, 922568019, 837186979, 201985897, 571603177, 519185343, 393982135, 460100352, -1, 229728167, 619241269, 707518821, 882932544, 424578818, -1, 686716820, 49754280, 165404357, 306719156, 368951634, 392420355, 480540438, 768147423, 669826051, 103325774, 609258685, -1, -1, 931260814, 244957919, 568550469, 701574697, 567957555, -1, 130448960, 327692021, 301189262, -1, 838806374, 824991152, 254311590, -1, 514630932, 702977445, 979376464, -1, -1, 547205041, 883074374, 309780505, 612565116, -1, 891278436, 235102869, 335076411, 980352605, 160488652, 648484024, -1, 114830120, 154846770, 88169588, 545864101, 559064945, 726703309, 409412915, 204199300, 917896570, -1, -1, 819985667, 264917480, -1, 532243634, -1, -1, -1, 750541064, -1, -1, 2643864, 589909395, 221516211, -1, 367678554, 914662102, 688199285, 609733398, 219273255, 803595314, 12602852, 367032764, 63801611, 726185867, 642773994, -1, -1, 292500642, 534606419, -1, 466131472, 689304428, 461741275, 746825224, 806998849, 248183958, -1, 68503427, -1, -1, 628781987, -1, -1, 520886331, -1, -1, 649207424, -1, -1, 457906591, -1, 840954187, -1, -1, 378105648, -1, 610196126, -1, 551766608, 422159546, -1, -1, 329530276, 889007568, 586256764, 827006832, -1, -1, 727356207, 499202428, -1, 542806283, 111005104, -1, 737832644, -1, 746340541, -1, -1, 716784140, 452636114, 779474334, 587217141, -1, -1, 231392387, 811238685, 753457037, 611738242, -1, 221582092, -1, -1, -1, 906706043, 275990357, 667054997, 522593348, 453848056, -1, 288738104, 934796802, -1, -1, 562095020, 792978138, 35500920, 894743548, -1, -1, 163462088, 80060446, 950766159, 76902249, 919962690, -1, 62485834, -1, -1, 18328374, 799252993, 171139591, 806520025, 511229226, 311268141, -1, 25308899, 437306656, 31848490, 724777889, 143949033, 257475505, -1, 43840029, -1, 191483056, 472356183, 189196466, 338190380, -1, 8374487, 800330487, 382058353, 641466333, -1, 376946494, 952014954, -1, -1, -1, 675046336, 973233315, 423524564, 868477255, 321294939, 88218988, 108384818, 631182239, -1, 54124969, 214370040, 980673895, 726900207, -1, 109830741, 776847912, 742257898, -1, -1, 940861776, 258039049, 357700193, 771215649, -1, 343343439, -1, 826293621, 584489538, 751047347, 633157137, -1, 774323207, 883041366, -1, -1, 250815313, -1, -1, 661828016, 446928331, 625584498, 448619265, 422511505, -1, -1, -1, 391946412, -1, -1, -1, 916528540, 406525706, 738058368, 774991791, 517444022, 778113408, 969435727, -1, 279369039, 135385627, 329779635, 836783346, 108584148, -1, 561209442, 872223168, 596732735, 917787523, 719331555, -1, -1, 599259450, 538516305, 907793321, 217226788, 659202323, 660547408, 626766592, 421630917, -1, 994077282, 690331532, 169156993, 206895837, -1, 956419324, 993000263, 823065140, -1, 225506215, 901236162, 662311750, 498587476, 544754143, 464735638, -1, 371111232, -1, -1, 655208703, 705736063, -1, -1, 977666354, 839973439, 593258226, 945811473, -1, 134504930, 1383109, 159727204, -1, 354670815, -1, 794980429, 768350443, 484638955, 783538750, -1, -1, 769759582, 658389051, 635796093, -1, 750074797, 932673741, 586628088, 345325218, 866460458, -1, 81211362, 213451269, 35831449, -1, 429740525, 154557810, -1, 274290690, 59138397, -1, -1, 827351497, 287205775, 535660651, -1, 567493559, -1, -1, 641266054, 498227049, -1, 262004830, 234074943, -1, -1, 930485623, 735627137, 893372332, -1, 47190514, 564569872, 763400635, 931206205, 628426054, 537762023, 269355885, 982410842, 370435527, 333236625, -1, -1, 562725198, 380361712, -1, 491372640, 503156775, 984358382, 381972792, 940252599, -1, -1, 327173097, -1, 921865243, 308910854, -1, 528926809, 127289166, 95561145, 268783117, 57306572, 715228948, -1, 760227568, -1, 92275924, 627954932, -1, 487136067, -1, -1, 888155958, 494310010, -1, 532964137, -1, 927067617, 316654434, -1, 855575272, 675062970, 352526336, -1, 907643991, 448628850, 108175162, 645272878, -1, 255091542, 534783679, 738351629, 81543983, 491836557, -1, -1, 128024686, 519662053, -1, 274834264, 733890545, 319196450, -1, 933016444, -1, 987153686, -1, 51454822, 67401300, 997303481, 153392747, 69275992, -1, 524120250, -1, 855473677, -1, 274373564, -1, -1, 177932790, 565268417, 523379060, 900621039, 989087196, 348424508, 438872469, 209724640, 93376561, 578591839, 438819876, 382404385, 467015391, 818023863, 804658816, 509295953, 815418469, 799043009, 636746934, 865300500, -1, -1, -1, 357805041, 393392318, 570629479, 595252380, -1, 111708235, 892970875, 717812009, -1, -1, 615293926, 237328332, 653452207, 515816567, 388727746, 432763776, -1, 117330117, 355943270, 986528514, 36298365, 64712388, 231755730, 380367188, 134472686, -1, 904215097, -1, 655267274, 383243452, 580693640, -1, -1, -1, 159667917, 570157842, 438656169, 59633328, 527669405, 966842097, -1, -1, 675784208, 588723205, 45430080, -1, 83405929, -1, 507119150, 757120667, -1, 62761207, 85808331, 846175, -1, 677534886, 455080237, 936016301, 491803744, -1, 890536808, 487006305, 452278344, 481751197, -1, -1, 49955660, 965353689, 579614369, 165090535, 608339010, -1, 656498524, 907994422, -1, 478306037, 425332610, -1, 719250328, -1, -1, 237580318, 418711161, -1, 514203335, 654810741, 931455562, 38882477, 109499481, 545252804, -1, -1, 768672785, 782191159, 2798817, -1, 682282832, 13557117, 808707750, 63905834, -1, 190425146, 25526145, 855085215, -1, 859549055, 910804025, -1, -1, 768593280, 725537402, 397077923, -1, -1, 530911409, -1, -1, 283921023, 41332538, 315002015, -1, 30996679, 649344290, 269871508, 699821627, 29779739, 100575035, 543434030, 336401350, 113626397, -1, -1, 307214006, 179929706, 742648563, 583229981, 368655869, -1, 189663076, 858178645, 782792103, 894047754, 685439155, -1, -1, 527339376, 39392321, 989006711, -1, -1, -1, 639612072, 685272461, 970151797, 310713911, 437935166, 253799844, -1, 534831773, 861482747, 204192447, 416335497, -1, 288794196, -1, 867126930, 940703855, 733746806, 568241757, 51985595, 306231769, 27833123, 39092966, 608641446, -1, 396827030, 816028663, 175933082, 820693627, 927723743, -1, 780849685, 251857286, 183434176, -1, 273299383, 15300346, 152244426, 426926869, -1, 399753351, -1, 369668379, 820033217, -1, -1, 750251914, 300686204, -1, -1, 572821668, 399432313, 670980207, -1, 564175047, -1, 776461158, -1, -1, 286752595, -1, 968349918, 938998990, 11138950, -1, 336558986, 858367840, 231772499, 965285648, 105481004, 181489101, 514079127, 313943666, -1, 326925971, 1976315, -1, 216570773, 901466534, 920230622, 629945937, 574848056, 174370718, 887791385, 556812240, 202819244, 668804467, 157021155, -1, 189465897, 114104648, 730006226, 870256473, 468315454, 854699069, 158428316, 474791927, 601093803, 457698042, -1, 580047775, -1, 973429199, 940805073, -1, 435872074, 186860521, 163411010, 390452241, 887707303, 279824276, -1, 404648086, 943320339, 328767407, 26144156, -1, 793926289, 360062846, 880265616, 47410789, 270417327, 840489187, 443546053, 75163917, 969295203, -1, 498624154, -1, 910238906, 252790674, 434259725, 704068919, -1, -1, 402226110, 8491426, -1, 98712479, 965741301, -1, 263613313, 375858536, 782714213, 390752914, 761619817, 836410903, -1, 642862371, 865171666, 278088664, 941334599, 317998404, -1, 2503254, 584251691, -1, 855126879, 716484796, 88435767, 404740311, 747077303, -1, 620644039, -1, 234377759, 719955716, 645429055, -1, -1, 848549866, -1, -1, 318850683, 567747775, 736431796, 958510795, -1, 582407501, 262320102, 399142170, 179827907, 922559519, 876660327, 105848610, 308011442, 436960684, 667902208, -1, -1, 176292780, 640733372, -1, 23327603, 489395578, 504773427, -1, -1, -1, -1, 704548116, 744845839, 472494259, 844950171, 304016588, -1, 702949297, 897938411, 229541476, 854212619, 593298189, -1, 784088479, -1, 695074586, 283319789, 314149107, 482267314, 673252587, -1, 652388721, -1, 174975571, 334210950, 853372357, 912732254, 506408283, -1, 770375584, 612182585, 487330015, 999147963, -1, -1, 581811539, 321735911, 51778141, 769402279, 348355690, 709147724, -1, 305809875, 702913112, -1, -1, -1, 872330937, 134841792, 928891309, 53813606, 113985605, 553982829, 622487936, 403657328, -1, 157212796, 382677366, 121201765, -1, -1, 581008983, 642663164, 752144196, 368046672, 626614174, 578847712, 718733615, -1, 58532180, 885370077, -1, -1, -1, -1, 921162896, 186356617, -1, 966191534, 218900535, 456564286, 295228558, 330047591, 540604330, 521312537, -1, 678712501, 545018399, 885875377, 847957550, 831927878, 986037707, 957387750, -1, 721461328, 393384152, 746154979, -1, 206793750, 873604257, -1, 327792678, -1, 995636124, 759705716, -1, 886544584, -1, -1, 941354750, 209419836, 277206267, 269667868, -1, -1, 453002639, -1, 592588576, 345666876, -1, -1, -1, 415760347, -1, 970129982, -1, 686077299, -1, 845269617, 94770331, 514039672, 386394522, 527256170, -1, -1, 929439083, -1, 481090154, 810745306, -1, 85459314, 939789770, 905027671, 757900682, -1, 89176505, 676531008, 148884534, -1, 479916017, 910232631, -1, 473226225, 298163843, 96937470, -1, 123438732, 496612174, -1, 7685763, 128928430, 103782495, 538838661, 691357211, 590667098, -1, -1, 184512378, -1, 446417436, 902615070, 681122196, 857809335, 756135775, 6788865, 205347521, 925269994, -1, 24942009, 623490454, -1, 805245118, 803512027, 251449835, 150168127, -1, 783266199, 464279941, 223497666, -1, 893763443, 26713354, 448214251, -1, -1, 53168401, 279242553, 744649343, 67659476, 499545011, 979643385, 618814706, -1, 845015027, -1, 461168627, -1, 416094756, 548828641, 324773551, -1, 43140399, 829701606, 125702840, 542416494, -1, 191863460, 884867832, 128522074, -1, 296166298, -1, 931128921, 433581372, -1, -1, 503084780, 125277430, 736948764, -1, 333940804, 729334145, 752749393, 715942333, -1, 561596694, -1, -1, 95325017, 588370790, 646008055, 411019778, 59363951, -1, -1, 551358772, 239858240, 334872800, 57769379, 966059859, -1, 21859134, 561545344, 933256360, -1, 403920624, -1, 232794928, 260549345, 152583524, -1, 811604394, 936445503, 318713740, 531165030, 661050426, 788906375, 412195573, -1, 840148527, 29470984, 680325350, 555971189, -1, 688796859, 186917447, 121973180, 409232591, 336966599, 362197084, 721368352, -1, 115715890, -1, 264816599, 240911272, 257973985, 518130833, 165871320, 733397641, 909092653, 283983117, 222197396, 149351046, -1, 489248377, 125551655, 749850855, 594429581, 223225012, 719487940, 503248601, 963785347, -1, -1, 518902099, -1, 201812994, 974766857, 217903643, -1, 39635384, 500012120, 244523885, -1, 777472001, 160526431, 146731003, 828212420, -1, 41891370, -1, 788012622, 262135203, -1, 206553207, 333397844, 243470221, 715671945, 761123498, 550756247, 181874158, 179098779, 988794797, -1, 581040839, 213126277, 467912543, 252440852, 327210367, -1, -1, 943537708, 771406987, 857249150, 448546316, 821598026, -1, -1, 100566511, 657743606, -1, -1, 490571865, 351419460, -1, 4679835, 485644311, 437292368, 705654670, 137955521, 701128479, 645475203, -1, 62109815, -1, 171787796, 917051571, -1, 412554167, -1, -1, 574322537, 271809007, 556301550, 184889689, -1, 936555798, 534890323, -1, -1, -1, 852347552, 426809291, 988887067, 16631739, -1, 477205525, 395532196, -1, 569013247, 671837974, -1, 665139894, -1, 529677809, 827090471, 165699148, 747689920, 267828505, 182059443, 412554369, -1, 818490008, 100635494, 699665045, 566954769, 444198195, 498421109, -1, 307408060, 167849027, -1, 657235586, 318235564, 44187605, -1, 407206911, 839236639, -1, 773209121, 645591339, -1, -1, -1, 965622507, 693233686, -1, -1, 31735325, 319376908, 701183182, -1, -1, 416313430, 520129563, 234158889, -1, -1, -1, 166756686, 352471486, 140503670, 456709063, 829254009, 1664292, 185726638, 832687268, -1, -1, 280664379, -1, 335064542, -1, 239254845, 959249093, -1, 764598485, 232643059, 301621703, 772458361, -1, 133481168, 156340268, 933046209, -1, 68578274, -1, 539951517, -1, 151339210, -1, 199078994, 138478473, 919615029, 183827311, 856414742, -1, 617563518, 905375371, 113111782, 30674589, 643890176, 713730183, -1, 175422509, 931007629, 835445207, 197547092, 41855946, 144912680, 529760962, -1, -1, -1, 319497388, -1, 204953705, 61158200, 870118204, -1, 248208677, -1, 555999269, 130553788, 977266274, 310289582, 143312155, 819819244, 189629998, 703305149, 921608872, 488471399, 494054974, 744997662, -1, 569365364, 347950199, 388045690, -1, 531296119, 360561565, 278119954, 152942602, -1, 159956225, 978722154, 312842346, 898614603, 180131851, -1, 550311618, -1, 545937425, 565288720, 612648091, 497971046, 921468447, 315594674, 650795364, -1, 351060408, 336198155, -1, 668248911, 96231688, -1, -1, 201155912, 362902866, -1, 383061779, -1, 477224642, 399816466, -1, -1, -1, 956569678, 353346054, -1, -1, 54826934, -1, 902219293, -1, 577766173, 475303684, 635409304, -1, 407363892, -1, 390394575, 452380900, 839240619, 903364079, 545819561, 399220967, 260918695, 947076591, 772347821, 282143633, 298381032, 149817905, 633550891, -1, 152120508, 638517941, 895163746, 944321562, -1, 379015608, 813032882, -1, 344324506, 681565494, 495621625, 27196696, 982432956, -1, 602161839, -1, -1, 214493139, -1, 350537456, 322941473, -1, 848038511, 47690573, 725279909, 854960988, 795082949, 160708163, 154678856, -1, 199711973, 861760536, 212488261, 643694496, -1, -1, 708629481, -1, 883731931, 398969580, 832149775, -1, 778385129, 689068913, 267209038, 988998524, -1, 376621795, 783729866, -1, 783510055, 757106836, 626821295, 434793761, 190818386, 879678354, -1, -1, -1, -1, 460735815, 880836639, 157162155, -1, -1, 409140366, 541621299, 325368134, -1, -1, -1, -1, 399133311, -1, 882746342, -1, -1, 766302134, -1, -1, 247125666, -1, 638648698, 282002704, 205199552, 292885185, 161486323, -1, 600843837, 964728642, 932053184, 185890649, 709899735, -1, 997065115, 625452383, 863445779, -1, 602424068, 122184435, -1, 877027079, 563329628, -1, 779400190, 124735243, 614562986, 408353923, 692057473, -1, 188669614, 739208416, 365185891, 951549201, 12661408, -1, -1, 685838236, -1, -1, 641605422, -1, 740416926, 90742876, 23118029, 308217882, 327145933, 502877368, 280266830, 45500568, 459671821, 547318007, 455063068, 40688569, 798026699, 732253533, 316969499, 690836853, 311627165, 639683380, -1, -1, 57149000, -1, 391802191, 508408986, -1, -1, 12893120, 994635195, 646755781, -1, 33031118, 43986814, 618765976, 194215236, 846211664, 467868121, 822217410, 360147440, 478729017, 724395651, -1, 209431499, 186706242, 908942523, 755485748, -1, 503700366, 344498481, 155246648, 495998560, -1, 477545326, 694217361, 706303566, 734411675, 751852212, -1, 446559495, 799593463, 987439708, 417652523, 201617302, -1, 824889565, 622566726, -1, 658735314, 830329640, 924090245, 69930892, -1, 290490340, -1, -1, 581435115, 823769293, 200731047, 386963943, 151469819, 126784707, 391603295, 574715024, 90829866, 561127733, 846895127, -1, 928382861, 457111862, -1, 268973282, 864820246, 959300750, 415744693, 247096743, 320154528, 911994671, 545820610, 804302729, 378604153, 814646604, 728304524, -1, 281267597, -1, -1, 963154615, 439628061, -1, -1, 65478529, 430437751, 856721872, 101415591, 529493103, 871929150, -1, 886851222, -1, 417001327, 129470237, -1, -1, -1, 317198017, 494719945, 721223509, 303382612, 285333048, 27624928, 955726942, 286312630, -1, 736552679, 243492534, 768696606, 149962560, 91005120, 839682280, 725576500, -1, 485565342, 160988848, -1, 253576909, 691906613, 917120437, 613506545, 699058024, 433477564, 394136122, -1, -1, -1, 763140545, 215426533, 862530777, -1, -1, 619078911, 885194712, -1, 956051004, 175582621, 808531839, -1, 879559570, 73090137, 724561782, -1, 428025104, -1, -1, 845150899, -1, -1, -1, 813575182, -1, 968163533, -1, 713499236, 706119822, -1, 582760582, 876067227, 402540468, 767443105, 550771486, 319222358, 259626614, 236974914, 820480369, 610188315, 201856373, -1, -1, 187166142, 467771349, -1, 788407036, 874077011, -1, 216070842, 567729502, 913979252, 944471921, -1, 963607909, 753361737, 801379336, -1, 93709898, 987328282, 124065232, 987213982, 894799100, 630877166, -1, 357362558, 742654778, 54368796, -1, -1, 818170521, 143319055, 69872738, 399244618, 608963287, -1, 479029440, 619948468, 780709848, 704788284, -1, 413144516, 7090505, 982355177, 230735439, 826106008, 895327030, -1, -1, 32981934, 812102108, -1, 426922544, 336136553, 839268317, 669263130, 444089649, -1, -1, 845816714, 419426503, 78791919, 205507278, 339225095, 898364573, 805637220, 647802300, 300366559, 768057026, 51301059, -1, 664212566, -1, -1, 456994285, 708059884, 463721278, -1, -1, -1, -1, 653258896, 353173457, -1, -1, -1, -1, 590799636, 305188620, -1, 172027401, -1, 683734994, 543359392, -1, -1, 349076740, 148269007, 877954625, -1, 53659363, 762748424, 60724954, 968937476, -1, 241372806, -1, 596816057, 826277418, 503172358, 209237501, 782008488, 803958155, 499122747, 801331887, 865867972, -1, 56603532, 271691928, -1, 240837873, -1, -1, 63524185, -1, 370789721, 181902309, 557152143, 984557280, -1, 279947589, -1, -1, 966711171, 359063592, 146397981, -1, -1, 455423562, 12130194, 714411532, 623007342, 404534758, 313078580, 529141264, 463184632, -1, 587687039, 565693099, -1, 393016401, 604772568, 580875775, 341694895, 364895886, 725944493, 943054409, 360954637, -1, 507667885, 381227609, -1, -1, 14800395, 291911412, 487963197, 477683993, 772601836, 543998876, 799668826, 535360018, 303671465, 96079665, 471460497, 820270808, -1, -1, -1, 839750001, -1, 320192426, 499042892, 861693267, 853183486, -1, 895185671, 470972268, 392129012, 167370602, 774580986, 809997152, 889425847, -1, -1, 606907551, 149111328, 324049426, -1, 323864967, 691123973, 188684005, 934966079, -1, 954267073, -1, 52767537, -1, 616486365, 172856928, 224899029, 566650395, -1, 851401659, -1, -1, 507690926, 909814681, 928815211, 176175105, 926738741, 553352069, 822327758, 937787843, 962065837, 652815911, -1, -1, 975532912, 492252106, 138868126, 479369049, 41971240, -1, 426105357, 246386059, -1, -1, 287824906, 724305330, 499214011, 83624028, 623351873, 290791492, -1, 806460921, 872866358, 200356784, 911943395, 956245248, 560593284, 891024613, 236301638, 417861892, 508347879, -1, 321692404, 904495382, -1, -1, -1, 114998800, 488043385, 209018162, 101733723, 403542542, -1, 799294329, 195219455, -1, 706786990, 284848147, 451259260, -1, -1, -1, 186862769, 77197401, 409721248, 988393850, 795383813, -1, -1, 670507894, 561257519, 568424499, -1, 190869522, 502630920, 314050855, 509486224, 904450428, 642715374, 450605032, 379246897, 147538416, 495209397, 633249264, 715604625, 519690821, 893720759, -1, -1, 628426624, 118875693, 114198275, 325235020, -1, 428401019, -1, 593750152, 336638578, 679936305, -1, 292187265, 829066168, 56953415, -1, 981232244, 283516962, 671739530, 189539620, 902492255, 685843826, 819696520, -1, -1, -1, -1, 638505712, -1, 289972478, 893569675, -1, -1, 265511587, 964011943, 184204161, 312116791, 845974367, 707283317, 593528314, 576714007, 241154524, 108531767, -1, 420837053, 251046314, -1, 433752792, -1, 927266009, 250524765, 393445630, 261812836, 664806183, 786621376, 789083335, 530371634, 839321540, 832032011, 631179811, 680133418, 99982545, 390433042, 970916097, 632230004, 516130242, -1, 501577197, -1, 964828850, 136739418, -1, -1, 774475726, 81586267, 348624911, -1, 742580808, -1, 946088577, 860932380, 971646666, 642577136, 269113030, -1, 694690483, 792892864, 589859365, 755797198, 103766787, 276934974, -1, 701575363, 880443044, -1, 554611852, 3270254, 895799227, -1, 672151482, 216230511, 654927391, 158576102, 195555808, 273318474, 820668198, 119294822, -1, 692079799, 956684469, 18917875, 581922981, -1, 540383523, 629368220, 420424093, -1, 813830449, -1, 321350315, 46113213, -1, 205976182, 980566697, 73783584, -1, 163228588, -1, 763691535, 132007765, 801696577, 454563747, 893555232, 761299483, 413306112, 895693795, -1, 763956824, 784160481, -1, -1, -1, 330608300, -1, -1, 537458962, -1, 777412650, 662222687, -1, 838878898, 754175377, 568202528, 978507336, 330262448, 416796850, -1, 759984802, 342653209, -1, 449760716, -1, 531634188, 847287107])) + +test8 :: Test +test8 = TestCase (assertEqual "for (minDifference [-1, 639161915, ( -1), ( -1), 743579521, 717617076, ( -1), ( -1), ( -1), 924276297, 157194645, 20083099, 618694006, 413718951, 290186181, ( -1), 651629291, ( -1), ( -1), 476902543, 451983954, 699899459, 982685397, 479465884, 548286569, 464914514, 905312203, 88581276, 232522362, ( -1), ( -1), 201227575, 118755561, 318427412, 334333186, 324413920, ( -1), 289238250, 650205688, 936943148, 523347510, 439406940, ( -1), 564910764, ( -1), ( -1), 9977678, 296852333, 808793299, 603582094, ( -1), 62600631, 489717645, 807374757, 772835555, 809902639, ( -1), 94779959, 507590077, 37441761, ( -1), 745888569, 342306484, ( -1), 323670969, 20872586, 43755315, 908995939, 940106621, 429674018, ( -1), ( -1), 870931530, ( -1), 669823615, 44462343, 174997666, ( -1), 519233349, 222211360, 368168492, ( -1), 437460181, 328140677, ( -1), 470296878, 794384734, ( -1), 428510371, ( -1), ( -1), ( -1), 994765100, ( -1), 657465590, 167891981, ( -1), 809882510, 514782318, 916305713, 594246725, 173959418, ( -1), ( -1), 829636941, ( -1), 907128950, ( -1), 824662529, 388653927, 22866582, 515313024, ( -1), 763160725, ( -1), 779936153, 819347649, 259324544, 89384546, ( -1), 661520434, ( -1), 299343859, 949022937, 34042132, ( -1), 688172096, 640184853, 987415905, 376043972, 382469432, 364430370, 191553994, 751883961, 172829321, 830616766, 281394971, 719986460, 974648005, 987763037, 543780379, 447545255, 577019720, 411257306, 265430288, ( -1), 937238972, 60669829, 135302727, 832033357, 225274119, ( -1), 533819004, 152132901, ( -1), 265233922, 639602895, 638250145, 490749771, 106810562, 551215032, ( -1), ( -1), ( -1), 242781672, 605404830, ( -1), ( -1), 365757696, 263107833, 1283452, ( -1), ( -1), 797233607, 51680198, 421805432, 798858318, 748969158, 195637488, ( -1), 938692345, 803780604, 36696519, 738826618, 619633840, ( -1), ( -1), 643631686, 797081581, 685031134, 244970331, 961677682, ( -1), ( -1), ( -1), 531472049, ( -1), 635160870, ( -1), 600781744, 910534005, 310093300, 812439941, ( -1), 570258874, ( -1), ( -1), 878176918, 890242693, 241609188, 670731568, 576724959, ( -1), 72958399, 329301577, 972013099, ( -1), 457262019, 364074839, 920045532, 984771976, 674521312, ( -1), 821357967, 716324011, ( -1), ( -1), 849955391, ( -1), 994039222, 366454232, 315139844, 132791719, 109876260, 253636153, 230757703, 712204508, 912472617, 617701659, ( -1), 390712320, ( -1), ( -1), ( -1), ( -1), 928219010, 555650764, 210920097, 120105627, 830614976, 790849391, 36512601, 554981262, 187626142, 374468721, 176362305, ( -1), ( -1), 181357367, ( -1), ( -1), 478118594, 214531411, ( -1), 764136939, ( -1), ( -1), ( -1), 932146905, 660642454, 855536411, 402952298, 435841554, 403793482, ( -1), ( -1), 199182353, 459687909, 30631366, ( -1), 875406047, 516611026, 391254799, 986268324, 989577132, 219597464, 461611321, ( -1), 920446891, 742022578, 895572088, 290174586, 759481233, ( -1), ( -1), ( -1), 361579651, 625192595, ( -1), 606734207, ( -1), 994290145, ( -1), 626348726, 340351052, 124160769, 323468751, 614651634, 50920302, 2535885, 488397620, 814838774, 936526498, ( -1), 307055822, 608882869, 322429150, 645803512, ( -1), 956084084, 362147528, 574557441, 694342191, 57366060, ( -1), 810892257, ( -1), 928681891, 70179313, 238314744, 59629056, 595942277, 748668466, ( -1), 933389310, 883732620, ( -1), 484593227, 503665657, 167892632, 84924074, 493726146, 212766968, 488168861, 99176582, 417568977, 457633673, 783493437, 307990515, ( -1), ( -1), 986212309, 603501564, 251109683, 984224463, 534904101, ( -1), 367796553, ( -1), 811208657, ( -1), 360824701, ( -1), ( -1), 436229083, 661898616, 461216521, ( -1), ( -1), 510492474, 388120082, 464372075, ( -1), 215955830, 280867311, 464039154, 93706169, ( -1), 958304827, 524170812, 821655606, 956164888, ( -1), 781465008, ( -1), 370184529, 355238214, 866880918, 605338968, 485202663, 472175209, ( -1), 273542116, 275715829, ( -1), 690925895, ( -1), ( -1), 930021051, ( -1), 491594834, 143019642, 959548973, 849149116, 91301795, ( -1), 144859505, 530330121, 358477583, 260976533, ( -1), 732311248, 183941193, ( -1), 740675098, 773132665, 289173575, 107971516, 250423718, 24277973, 302058072, 150339706, 276703862, 755761735, ( -1), 390490234, 885382020, 130590958, 753481727, 97660877, 568028246, 122326546, 607107333, 153738327, ( -1), ( -1), 126149066, 197515776, 140682649, ( -1), ( -1), 472019330, 678644069, 805186047, 321550651, 265471103, 605579855, 316881427, 824382449, 869045506, 555459534, 246675322, 451252215, 902299556, 61696273, ( -1), 920455020, 508415432, 587437177, 126316056, 612796807, ( -1), 741474426, 494843283, 769030572, 209257151, 884257498, ( -1), 779891399, ( -1), 103588790, 61531224, 691303713, 31155387, 915136943, 392438914, ( -1), 224749780, 121854705, 569512271, ( -1), ( -1), 88706635, 678782315, ( -1), 913796256, 766787371, ( -1), 675167979, 829896359, ( -1), 743427243, 906997449, ( -1), ( -1), 776570919, 767733152, ( -1), 608928260, 887774817, 517580875, 145409095, ( -1), 879172915, ( -1), 79774477, ( -1), ( -1), 533480441, 335750717, 388593426, ( -1), ( -1), 150757642, 53920826, 85934378, 353306404, 188652434, 947395776, 12073929, 517383803, 317561777, 350851096, ( -1), ( -1), 773903344, 673828886, 421448277, 47943354, ( -1), ( -1), 834180149, ( -1), 560620158, 943178914, 896558988, ( -1), ( -1), ( -1), ( -1), 378561013, 259057470, ( -1), 795720018, 225887075, 806381176, 438466828, 195984506, 32413156, 859865930, 315191399, 851803005, 913226849, 206441255, 502937875, ( -1), 5876241, 260876939, 137915862, 678759765, 534473704, ( -1), 474241796, 391394975, 550517738, 236929882, 712067494, 478476808, 255145759, 26690838, ( -1), 530228061, ( -1), 987916905, 217742527, 668752451, 466841592, ( -1), 710590983, 153163334, 491538705, 34214341, ( -1), 588298197, 194122934, 832774158, ( -1), 563033494, ( -1), ( -1), 581735915, 405950880, ( -1), ( -1), ( -1), 210113772, 695451258, 347833855, 417724793, 268774063, 561470803, ( -1), ( -1), 45454703, 822062008, ( -1), ( -1), 1985072, 524285992, ( -1), 872285462, 989370111, 571396403, ( -1), ( -1), 427042072, ( -1), ( -1), 224950735, 845033409, 569064903, ( -1), 320334234, 648898254, ( -1), ( -1), 250860504, ( -1), 560198607, 248875643, 498987026, ( -1), 385718341, 573047741, 304885588, 606295223, 488326248, 918774896, ( -1), 335861025, 664728516, 368717406, 59376158, ( -1), 224563418, 275312353, 376067618, 570070963, 321070093, 420345622, 548526023, 628105551, 420377572, 417787432, 41155550, 904074494, 692765884, 973809180, ( -1), ( -1), ( -1), 384523868, 385207094, 564615943, ( -1), 698149706, 525407681, 315064352, 203773956, 64548019, ( -1), 464342752, 689005337, 410986388, 141499088, 428979689, ( -1), 2980051, 470530451, 280810939, ( -1), 731883601, ( -1), 37275507, 394852366, ( -1), 984656097, ( -1), 155015738, 324831180, 358512190, ( -1), 821266155, 980297854, 285692041, 793724364, 81795919, 971770215, 14687630, ( -1), 394385682, ( -1), 573358184, ( -1), ( -1), 220271458, 476290768, 547661005, ( -1), ( -1), 982844824, 977112300, ( -1), 172569521, ( -1), ( -1), ( -1), 242682453, 778150863, 71308449, 823855475, 274833741, ( -1), 148013663, 158874587, ( -1), 501796637, ( -1), 652314728, 563265528, 848215218, 103408452, 322627536, 661452417, ( -1), 752197634, ( -1), 861657732, 447821119, 860301041, ( -1), ( -1), ( -1), ( -1), ( -1), 288591689, 307047078, ( -1), 591639268, 369371333, 511234554, ( -1), ( -1), 809516582, ( -1), 970953680, 235437495, 762400205, 951034617, ( -1), 898774951, ( -1), 532669749, ( -1), 933548202, 518079991, 868296120, 393979152, 566249959, 944664464, 874428899, 411544634, 800490913, ( -1), ( -1), 128566742, 469131831, 518185854, 681316427, 201407869, 80968452, 89914017, ( -1), ( -1), 677849114, 934661684, ( -1), 603929176, 342018715, ( -1), ( -1), 694632668, ( -1), ( -1), 355306398, 834026950, ( -1), 206585406, 588804424, 204977788, 428816945, 328952895, 397639569, 356247984, ( -1), ( -1), 654331543, 104248772, 759745928, 444837117, ( -1), 647498890, 678319277, 405900192, 656940664, 849580217, ( -1), 106115799, 722865406, 242757618, ( -1), ( -1), ( -1), 649876869, 66053631, 901740055, 906687159, 125758745, 276283427, ( -1), 729525385, 399526261, 984445449, 325948703, ( -1), ( -1), ( -1), 906658211, 17161138, ( -1), 680621193, 647838672, 848565350, 965116489, 502768623, 516497928, ( -1), 74390940, ( -1), 140873721, 686972184, 432204419, ( -1), ( -1), ( -1), ( -1), 687862160, 564587294, 295672343, 72487749, ( -1), 134052905, 966787328, 789552209, ( -1), 223847112, 232213871, 49426089, ( -1), ( -1), 522173470, 520914661, 252142471, ( -1), ( -1), 826974574, 335524026, 651399790, 652973636, 348901897, 604361076, 529220740, ( -1), 644008443, 96097532, 206688812, ( -1), 143709328, 179510187, 44649207, 492679138, ( -1), ( -1), 672303681, 634344701, ( -1), 765580795, 843657913, 49855828, 479812234, 628335666, 971762939, ( -1), ( -1), 292166738, 903949434, 780586365, 799421156, 174047412, ( -1), 760005041, 647791892, 352402656, 827619444, ( -1), 847921234, ( -1), 235262084, 245036882, ( -1), 207353238, 748428620, ( -1), 301430990, 488995319, ( -1), 360866731, 165180120, ( -1), ( -1), 629255709, 975268135, ( -1), 952245992, 800297830, 891630105, 868598328, 540305137, 172036191, 365653443, 2992891, 35533825, 292393950, ( -1), 263331371, 634998561, 804180703, ( -1), ( -1), 11266453, 197686651, 493108570, 402156697, 564912237, 909512405, 842300502, 386572189, 526869956, 904361033, 299624697, ( -1), 541889677, 167966802, 991216975, 576167331, 817967454, 585887534, 87221196, 832873417, ( -1), 980821219, 934409937, ( -1), 945004298, ( -1), 676533313, 122881048, ( -1), 468162890, 201790960, 276831209, 665573039, 769049070, 583391115, ( -1), 711959671, ( -1), 555867407, 952966804, ( -1), 577566649, 742268499, ( -1), 380402918, 974486528, 194740740, ( -1), ( -1), 145750057, 898429154, 262792323, 372873765, ( -1), 566941439, ( -1), 398252915, ( -1), 757344277, ( -1), ( -1), 215141809, 573912637, 141990484, 668504929, 642502730, ( -1), 561035203, ( -1), ( -1), ( -1), 695910904, 708966450, 665632704, 218117254, ( -1), ( -1), ( -1), 236557368, 678219718, ( -1), 594982299, 729092595, ( -1), 980544492, 651079329, ( -1), 974006861, ( -1), ( -1), 918271606, ( -1), 320087991, ( -1), 583750497, ( -1), 262133731, ( -1), 636351335, ( -1), 793776818, ( -1), 971831200, 940083631, 308666363, ( -1), 909526578, 727230255, 524021211, 317015187, 400039011, ( -1), 867239164, 109123824, ( -1), 356146402, ( -1), ( -1), ( -1), 876776615, 685394148, 94836010, ( -1), 55589276, 868386839, 521757753, 91397621, 35208032, ( -1), 925542598, 316630842, 492643545, 538299901, ( -1), 541348927, ( -1), 727250679, 903396312, 870894718, 864864545, 640381689, ( -1), ( -1), 647012414, 702187791, 896739617, 683201364, 305592010, 390424400, ( -1), 568190260, ( -1), 837621394, 994978495, 905528479, ( -1), 847328795, 368891959, 640812454, 570551514, 658990395, 198268612, 908221033, 213787013, 319334876, 732739170, 482338024, 899514437, 88757072, 838200785, 348435045, 80482096, 711027461, 897774908, 186432675, 462977398, 540223742, 262653795, ( -1), 571164338, ( -1), 996783683, 965187433, 146949140, 821193882, 307386161, 605010970, ( -1), ( -1), 963995774, ( -1), ( -1), ( -1), ( -1), 18433192, 106577430, ( -1), 307306456, 781404323, 156698393, 705086165, 186595279, 74799319, 392631914, 596917042, 758748242, 419475347, ( -1), 667688563, 597816511, 267786274, 849964877, ( -1), ( -1), 352416556, 703663355, 535615958, ( -1), 996180261, 655258268, 361927848, ( -1), ( -1), 441447797, ( -1), 536845836, ( -1), 273707011, 840700784, ( -1), ( -1), 320569738, ( -1), 10534658, 525991977, ( -1), 173450453, 727327573, 91246021, 946884525, ( -1), 877421586, 41127185, 223010998, 67057043, 519332667, 351161143, 859993804, 957689795, 616760288, 518083536, 814597761, 519812547, 826389211, 877767177, ( -1), ( -1), 863300643, ( -1), 170553140, 61317309, 739135503, ( -1), ( -1), 152234756, 180895402, 276136172, ( -1), 325505966, ( -1), 435420605, 722266558, 739564705, 682830552, 892348127, 605136853, ( -1), 843857445, ( -1), 778066887, 571473283, 987196657, 973439180, ( -1), ( -1), 359135765, ( -1), 151435826, ( -1), 898160854, 610390224, 156159529, 252347750, ( -1), 995933805, ( -1), 838781413, 978810797, 325518780, 787766868, ( -1), 803450803, 592201847, 488814285, 153449638, ( -1), 258607015, 502901263, ( -1), 658131214, 858894225, ( -1), 18011714, ( -1), ( -1), ( -1), 668445996, 523707740, ( -1), ( -1), 860491174, ( -1), ( -1), ( -1), ( -1), 63705401, 182134890, ( -1), 507425599, 695332820, ( -1), 216564473, 789433175, 168303244, ( -1), 373157598, 496493884, 721816485, ( -1), ( -1), 673472090, 682677810, ( -1), 70794389, 34690917, 350272249, 956817982, ( -1), ( -1), 292136526, 404230236, 323244678, ( -1), 829137057, ( -1), ( -1), ( -1), 521347045, 216370216, ( -1), ( -1), 699512143, 536920559, ( -1), 82801492, ( -1), 897406411, 770035534, 270059951, ( -1), 851452774, 319129142, 165321181, 671313999, 67449045, ( -1), ( -1), 332307213, ( -1), 311884461, 187608429, ( -1), ( -1), 63973049, 770743347, ( -1), 260094408, 529707708, 746263637, 350747590, 790867001, ( -1), 912246102, 470099680, 882988247, 245205633, ( -1), ( -1), 47026491, 969401377, 537533543, 735566712, 945593200, 717968071, 277763970, 236178109, 970635105, ( -1), ( -1), ( -1), ( -1), 166014065, 628325606, ( -1), 375322760, 589755999, 582975288, 357170219, 937911272, 289435201, 202843325, 459899738, 292397034, ( -1), 72379365, 145382989, ( -1), ( -1), 198343759, 782450339, 53156478, ( -1), ( -1), ( -1), 125008289, ( -1), 538415838, 714982165, 742359479, 387733991, 808891251, 863120724, ( -1), ( -1), 530203049, 239049437, 735455508, ( -1), 904330440, ( -1), 535005176, 40125501, 279415550, 991581643, 139108137, 907029658, ( -1), 518276544, ( -1), 634904440, 432405820, 362803913, 220868654, 441314276, ( -1), 487251003, ( -1), 641440268, 601404788, 782411942, ( -1), ( -1), 824969628, ( -1), 194955424, 413598658, ( -1), 933976588, ( -1), 463505228, 48718501, 585530873, 261557694, 115644349, ( -1), 578383812, ( -1), 260276192, 596675022, 904177429, 636526335, 879417804, ( -1), 888809305, ( -1), 9092815, 519924741, 497351798, 37708044, 502631485, 292181855, ( -1), 190577219, 294269045, 415082843, 541049975, 570329663, ( -1), ( -1), ( -1), ( -1), 811104691, ( -1), 72759866, ( -1), ( -1), 724806855, 680443740, 398640697, 143607811, ( -1), 928846145, 106244848, 687682201, ( -1), 897000749, 409468621, 104591561, 585349718, 640085378, 277767045, 784691, 642071118, 73906527, 352430820, ( -1), 301051581, ( -1), 145710396, ( -1), 699612669, 631993611, 790953878, 750043422, ( -1), 832648421, 478051695, 652611892, 875240392, ( -1), 275165070, 884997090, 352587527, 52878791, 108380183, 662115281, ( -1), ( -1), 656208774, 743179216, 259722291, 385958738, 614773330, ( -1), 907728884, ( -1), ( -1), 374120869, ( -1), 582141271, 947613131, 678130305, ( -1), 75555127, ( -1), 40875271, 543451092, 570677957, 150848671, ( -1), 480978769, 493863302, 496535407, 94121354, 119529369, ( -1), 903620845, 454020445, 680786561, 85768472, ( -1), 19551530, 557801352, 936720377, 203625384, 398224922, 227054167, 801702650, ( -1), ( -1), 458506127, 852269424, ( -1), 750398679, 312689076, 186720505, ( -1), ( -1), 456641276, 95229780, 423272306, ( -1), 152626733, 905957556, 680824317, 179676859, ( -1), ( -1), 673811812, 388862301, ( -1), 824714420, 311517376, ( -1), ( -1), ( -1), 664736066, 151908465, ( -1), 536295909, 26756192, 575468739, 438407827, ( -1), 451069456, 895205559, 30358401, 893802976, ( -1), ( -1), 35156162, 310414933, 11917787, 898091270, 317324185, 630450106, 583362731, 752072293, 346117056, ( -1), 884318881, 133432953, ( -1), 943977846, 18965592, ( -1), 226069295, ( -1), 105020138, 873619912, 142720083, ( -1), ( -1), 887698827, 547155584, ( -1), 696740860, 413284278, 341504746, 715134865, ( -1), 619238710, 796144816, ( -1), 313071211, 487664560, 516492242, 160986545, 560724671, 433914921, ( -1), 124398661, 851139315, ( -1), ( -1), ( -1), 617143408, 206054749, 332629187, ( -1), 214449305, 261140694, 234529421, 903229658, 455332610, 415386527, 448061159, ( -1), 260383948, ( -1), ( -1), 999998803, ( -1), 208334448, 939448341, 958247236, ( -1), 715005727, 324102572, ( -1), 522706452, 171452063, 611222224, ( -1), 103716290, 21224875, 583620343, 596061140, 747447035, ( -1), ( -1), ( -1), 375411149, ( -1), 739836295, ( -1), 486601551, 981109894, 667330658, 582789188, 518779642, 256047311, ( -1), 804657904, 364066682, ( -1), 984385495, 942995845, ( -1), 453833247, 639837141, 468788884, ( -1), 433314855, 700770946, 249616249, 746553045, ( -1), 153680282, 591747305, 510060721, 31546395, 325169158, 533740957, 315457136, ( -1), 939166531, 876322829, 144508828, 52100451, ( -1), 460710722, ( -1), 888299583, 198161958, 940694020, ( -1), 81538297, 289374747, 635088786, ( -1), 931109078, 434026521, 894441028, 735504631, 555498723, 500155367, 491411807, 889566120, 658479531, ( -1), 374360554, 996808462, 234338265, 321732421, 914135097, ( -1), 782809738, 232316293, 438085391, ( -1), 88550439, 961567043, 408154489, 181158268, 68660953, 645326621, ( -1), 158909954, ( -1), 516395067, 750189005, 471174420, 989759762, 843158502, 446316910, 870229334, 889644852, ( -1), 640513737, 566755630, 745124736, 179493940, 216332315, ( -1), 561315263, ( -1), 812316817, 427565857, 27938312, 392792764, ( -1), ( -1), 695106512, 49272685, ( -1), 573137005, 65267938, 34588792, 200532573, 589377094, 1954861, 856831192, ( -1), ( -1), 421989220, ( -1), 701989982, 295879077, ( -1), 942961107, 22340827, ( -1), 809047838, 596591271, 156803039, 302843754, ( -1), ( -1), ( -1), ( -1), 465306588, 112930955, 453825745, ( -1), 618474134, ( -1), ( -1), 71556814, ( -1), ( -1), ( -1), ( -1), 989554691, ( -1), ( -1), 885423436, 412317013, 656332585, 132450420, 610042421, 67531329, 949990726, 413772033, 227251958, 32509038, ( -1), 389717746, ( -1), 808132557, 884958903, 149641240, 488834336, ( -1), 598319605, ( -1), 8305423, ( -1), 535858009, 204261330, 363173928, 619297517, 351240362, 67827968, 256623694, 633523466, 900933369, ( -1), 340493508, 418039490, ( -1), 788108161, 145433669, 991843340, ( -1), ( -1), ( -1), 552026434, 688469722, ( -1), 579606640, 343599327, 175596420, 565405335, ( -1), 694828079, 806179060, 917562670, 143562125, 894086398, 795861182, ( -1), 168880424, ( -1), 594142267, ( -1), ( -1), 969198853, 363208063, 897025527, 825106605, 741900551, 442962179, 363320178, 623508924, ( -1), ( -1), ( -1), 674029970, 138359167, 25315808, 102613049, ( -1), 778689217, 570506297, 886370084, 724952861, ( -1), ( -1), 689850015, 489215982, 463108632, 196971422, 902923745, 814897417, 365882139, 715427120, 7984225, 389049921, 908110720, 104408225, 628097975, 877336655, 383658763, ( -1), 547018439, ( -1), 824408564, 233017490, 233380069, 139210710, ( -1), ( -1), ( -1), 580775651, 808697013, ( -1), 44329015, 465777390, 147472272, 434068444, ( -1), ( -1), 954977793, 576142503, 715868714, ( -1), 306362646, 891327383, 297165190, ( -1), 175734806, ( -1), ( -1), ( -1), 641012319, 193983961, ( -1), 780124917, ( -1), ( -1), 340302603, ( -1), ( -1), 434004465, 867869300, ( -1), 824819376, ( -1), 944484194, 473548519, 78166953, 645025573, 640045795, 313269393, 924687846, 592814534, 696509485, 281722336, 499082283, 500200773, 769738869, 948815995, 204619817, 130352448, 447262690, 992233862, 544130395, 516513182, ( -1), 667361241, 193149230, 180828912, 151703401, 994308918, ( -1), ( -1), 834600916, 566467645, 650953436, ( -1), ( -1), 509809998, 736122772, 572215220, 735175647, 600062397, 883998517, 364556071, 108745764, ( -1), ( -1), ( -1), 595186103, 819286520, 385024819, 310426356, 890576297, 783794878, ( -1), 521055363, ( -1), 329016729, ( -1), 998144132, 692653451, ( -1), 422332824, 575854606, ( -1), ( -1), 762407707, 646814131, 482367865, 977489119, ( -1), 862803527, 345819781, 227988240, ( -1), 35179133, ( -1), 573778050, 110176792, 24318434, ( -1), ( -1), ( -1), ( -1), 166692130, 279359480, 77579582, 987539891, 973539580, 903408893, 611329577, 340990857, 174132728, 958691965, 266920365, 524231040, 377186773, 989565803, 845817683, ( -1), ( -1), 57458517, 134252428, 832080923, 162911062, 279781276, ( -1), 371332982, ( -1), 308809357, 605472028, 98405973, 697132784, 368259720, ( -1), 315231296, 646631584, 947723052, 58766000, ( -1), 83411926, 657695376, 929131572, 336020281, 66646512, 582350281, 81966774, 442967916, 899573990, 434071345, 146661932, 578102058, 789494882, 4185580, ( -1), 608855273, 96483940, 613898502, 344552721, 6250318, 448149890, 42277625, 685889897, 240376818, ( -1), 962988232, 748689959, 355617098, 623236173, 722166352, ( -1), ( -1), ( -1), ( -1), 648867430, 467052834, ( -1), 951608300, ( -1), ( -1), 960254999, 192522358, 269709179, 999260401, ( -1), ( -1), 661889128, 442698521, 612247143, 196508702, 760351659, 966370739, 900497794, ( -1), ( -1), 85004281, 967888903, ( -1), 679589831, 881934108, 5121963, ( -1), 370886946, 800983918, ( -1), 959831384, ( -1), 161139547, ( -1), 618306607, ( -1), 472004994, ( -1), 699500001, 100159409, 70852044, 649569252, 646294162, 497443966, ( -1), ( -1), 634363548, ( -1), ( -1), ( -1), ( -1), 720390523, 80115924, ( -1), 362162272, ( -1), 29518630, 846452150, 531042837, 12292683, 901149480, ( -1), ( -1), 592633041, ( -1), 584147763, 355926561, ( -1), ( -1), 682273965, ( -1), ( -1), ( -1), ( -1), ( -1), 324255059, 122597197, 523369880, 589873897, ( -1), 645358866, 584231428, 102010449, 279619184, ( -1), ( -1), ( -1), ( -1), 447166661, 629544634, 857304644, 159586594, ( -1), ( -1), 945858526, 901039368, 645815511, 589728599, 203812786, ( -1), 443112499, 763715980, 371022548, 736763827, 261917482, 824244078, 86587671, 874329560, 903801773, 1149524, 119975076, 68082059, 827833960, ( -1), 153198424, 734282068, ( -1), ( -1), 203421927, 241275459, 609720278, 284387128, 558429532, 420642065, ( -1), ( -1), 984330559, ( -1), ( -1), ( -1), 352401742, ( -1), 964048837, 539412002, 983262546, ( -1), ( -1), ( -1), ( -1), ( -1), 236867835, ( -1), 861599730, 154753648, 891030996, 269912092, ( -1), 71451469, 456730193, ( -1), ( -1), 292951990, ( -1), 661736330, ( -1), 801930441, 777527887, 934754591, ( -1), ( -1), 183816545, 814008680, 502083184, 552984323, 425997958, 249946709, 123688557, 861545111, 27009067, ( -1), 107257866, 379251561, ( -1), ( -1), 753740922, ( -1), 869216473, 825583035, 570813607, ( -1), 310678254, 498756414, 384628225, 648999394, 464466512, 230124444, ( -1), ( -1), ( -1), 985523587, 751855339, 963770639, 396343848, 484484137, ( -1), ( -1), 13217380, 184790714, 990010393, 301508878, 463156800, 637734932, 492971685, 568590368, 940793163, 142559222, 929411232, 427761480, 132124505, ( -1), 719759827, 948943737, 220291608, 786378949, 747254095, 582252927, 608784707, 440431987, 512748848, ( -1), 267254100, 478159549, 95720392, 80951253, 952620201, 726856173, ( -1), 707743612, 767310481, 95055675, 371886605, 999082499, ( -1), 571412617, 956575901, 376247272, 661834192, 683703082, 85693506, ( -1), ( -1), 78244540, 525885729, ( -1), 725894994, 115004808, 161043160, 29553102, 782422286, 882380519, 50743953, ( -1), ( -1), 51506841, 376371291, 806372210, 967849464, 757095068, 920670981, ( -1), 546480781, 411061318, 645877984, 476654021, 182634396, ( -1), 879456774, ( -1), ( -1), 459003851, ( -1), 96624422, 165161357, ( -1), ( -1), ( -1), ( -1), 329080994, 289398069, 885709459, 843514393, 295428745, ( -1), 401739884, 340520403, ( -1), 202210787, 802284923, 120775469, 902943416, 192047964, 195980486, 387632151, ( -1), 8710149, ( -1), ( -1), 134449356, 724706364, ( -1), 905810526, 937388274, ( -1), ( -1), 112906225, 368818427, ( -1), 955653438, 229704174, ( -1), ( -1), 482058833, ( -1), ( -1), 534722548, 818596010, ( -1), ( -1), 301415178, ( -1), ( -1), 966493728, 729102751, ( -1), 527073816, 984347242, 10531151, ( -1), ( -1), ( -1), 531221376, 797178181, 352501070, 517516160, ( -1), 659809929, 96859214, 136401122, 706526964, ( -1), 444478622, 549732328, 108504401, 295236647, 915961837, ( -1), 871466802, 134668587, 15283928, 813387321, 197311214, 153117242, ( -1), 739295014, ( -1), 1682920, 657445288, 815240935, ( -1), 535703960, ( -1), ( -1), ( -1), 781177387, 790339983, 908134008, 952675393, ( -1), 327089298, 928269387, 915173572, 63385042, ( -1), 4198330, 115211276, 38948165, ( -1), 618403449, 815731173, 843363344, 214585313, 272520526, 823955487, ( -1), 19639546, 339668375, 321157028, 487738516, 219043809, 720498697, 424632648, 485457648, 719612884, 336094167, 792894553, ( -1), 40335412, 968725723, ( -1), 471240920, 372933330, 35451779, ( -1), 964783346, ( -1), 382994922, ( -1), 594946020, ( -1), ( -1), 183269899, 410196367, ( -1), ( -1), ( -1), 456321185, ( -1), ( -1), 602972735, 157546548, 316062650, 178436548, 281368789, 386557710, 848273115, ( -1), 246000665, 677151037, 863727443, ( -1), 340812474, 715484999, 458643737, 871745377, 83358331, 183812108, 716106832, 196582228, 218769184, 221136262, 186139644, ( -1), ( -1), 325399462, 56648845, 239539370, 543765328, 839870819, ( -1), 326803559, ( -1), ( -1), ( -1), 129027818, 296914357, 838245131, ( -1), 494608557, 973384257, 268940705, 358222822, 977368978, 840454860, 864257745, 78755372, ( -1), ( -1), 480339174, 639604762, ( -1), 719552926, 774096523, ( -1), 184094831, 988452987, 682604699, 371980774, 452213653, ( -1), 824107900, ( -1), ( -1), 106139316, 901121953, 91246772, 365696829, ( -1), ( -1), 443003645, 257313948, 995259088, 891772137, 180829238, 602132946, 825332574, 951825571, ( -1), ( -1), 917620123, ( -1), ( -1), 821036443, 566694056, 907124727, 99625889, ( -1), 304683998, 385875352, 905697420, 662324851, ( -1), ( -1), ( -1), 132118579, ( -1), 639978474, 581438625, ( -1), 995349532, 45520925, ( -1), 303526164, 711646834, ( -1), 795610721, ( -1), 737000906, 58366643, ( -1), 622376085, 314383189, ( -1), 880645786, 966310246, 287241282, ( -1), ( -1), 996673417, ( -1), 639708350, 654009663, 202761377, 213557978, 132623362, 621871473, 667063822, 666995255, 538973910, 45208225, ( -1), 303756713, 93621837, 90455783, ( -1), 863074468, 256393253, 998695412, ( -1), ( -1), 473374845, 984812715, 943653436, ( -1), 505718099, 340632520, 868982462, ( -1), ( -1), 179223391, ( -1), ( -1), ( -1), ( -1), 801355579, ( -1), 924543171, ( -1), 664139777, 826955410, 662895312, 585203627, ( -1), 114633968, ( -1), 195558759, 613350063, 602880027, 275128672, 678272038, 475185880, 974384030, 383669020, 491558307, ( -1), 417628948, 340846114, 636337433, 180750840, 138711956, 178810211, 494794918, 545949926, 26135757, ( -1), 102834953, 157488995, 580330008, 63314872, ( -1), 627963448, ( -1), ( -1), ( -1), 758281830, ( -1), 704662793, 936744947, ( -1), 493093994, 581569127, ( -1), 207676423, 389489751, 483828963, ( -1), ( -1), ( -1), 600046402, 632135363, ( -1), 378778017, ( -1), 897253734, 32918750, 578526858, 355863858, 29702248, ( -1), 101462831, 678208921, 279093669, ( -1), 234429388, ( -1), ( -1), 724808999, ( -1), 318655679, 823227635, 621876609, 463914194, 963578090, ( -1), ( -1), 620444582, ( -1), ( -1), 938792540, ( -1), 982239208, ( -1), 574359018, 766222170, ( -1), 709686589, ( -1), ( -1), ( -1), 808229573, 641054796, 569218252, 850795215, 895776707, 373773550, ( -1), ( -1), ( -1), 600296794, 605590736, 936398773, 270470622, 868230251, 665951782, 786167159, 408570225, 636264697, ( -1), ( -1), 636236474, ( -1), ( -1), 105392771, 826514749, ( -1), ( -1), 334385086, ( -1), 3767964, ( -1), 680513354, 725271372, 192029844, 854710166, ( -1), 129337794, 780446939, 836165747, 409379125, 884085228, 314742431, ( -1), 956020467, ( -1), 122682894, 465406172, 809683168, 300218966, 962154719, 594809692, ( -1), 685035293, 668775701, 178710255, 737889826, 18628481, 229874387, 394239488, 815610951, ( -1), ( -1), 652914987, 844369931, 785823515, ( -1), 30503576, 906526865, 831068847, 771980021, 984445717, 843620313, 958997403, 458782593, 63262321, 88984114, 892446548, ( -1), 565136508, 510496957, 855739007, ( -1), 601792885, 533893397, 798133907, 424850054, 396694546, ( -1), 452193969, 89301486, 835544387, 462721543, ( -1), 275191002, 749344296, ( -1), ( -1), ( -1), 346259433, ( -1), 739654501, ( -1), 641222953, 375559887, ( -1), ( -1), 213643810, 593287448, 74292877, 913358302, ( -1), 778511071, 346479162, 935267955, 644974682, 455084260, 568967747, ( -1), 433908308, 991420337, 435645360, 189697656, 672245871, ( -1), 918738011, 756251193, 156857135, 778548223, 465756978, 238726821, ( -1), 590001602, 426460182, 902329588, ( -1), ( -1), 103175975, ( -1), 341640005, 170106674, 145977845, ( -1), 728197544, 584259929, 927934621, 613204210, 547139237, 300653040, 901703802, 748617958, 972504431, 900662366, 576889778, ( -1), 501318287, 721696182, 966353824, 152870812, 478712081, 238519728, ( -1), 233726387, 675602080, ( -1), 814607989, ( -1), 929634935, 766530778, 987693513, 986372883, 687186412, 362130704, ( -1), 399320056, 103414302, 341087617, 32797666, 883003178, 779514184, 311964832, 418141133, 722124096, 407302031, 369548828, 568508022, 499204362, ( -1), 15706772, 653092853, 792621923, 767130170, 443422434, 704569709, 648158944, 124685279, 709175399, 181764235, ( -1), 258916566, 774204037, ( -1), 225638295, ( -1), 759477377, 242945913, 612792631, 331168803, 371738859, 309412650, 195034152, ( -1), 374083722, 421019150, 790461451, 333520004, 230721030, 322265481, ( -1), 450936776, ( -1), ( -1), 291572340, ( -1), ( -1), 21413569, 534468644, ( -1), 555035231, 572009805, 262413326, ( -1), ( -1), 289872605, 205391504, 147941239, ( -1), 375802325, ( -1), 256719938, ( -1), 420956152, 754341934, 214889473, 264611014, ( -1), ( -1), 490701724, ( -1), 184918111, 318531509, 218167641, 416622246, 227533216, 70979957, 13376307, 149935689, 203229887, 381187934, ( -1), ( -1), 537411771, 142705354, 904603488, ( -1), 410760516, 228449160, 273898888, 726506629, 316137775, ( -1), 700930709, ( -1), 501000090, ( -1), ( -1), 203393378, 87044165, 685167759, 809574838, ( -1), 384830593, 997824125, ( -1), 27278414, 649745486, 971281717, 292588812, 594006757, ( -1), 145342237, 644801736, 676550790, 920952846, 890730383, 663574700, ( -1), 362540191, ( -1), ( -1), 198701994, 438672926, ( -1), ( -1), 903270316, 19865542, 226443266, ( -1), 447223373, 279932493, 125742830, 57798309, 179700784, 816546986, 68899157, ( -1), ( -1), 799967108, 597603056, 119132723, ( -1), ( -1), 376913041, 105813427, 467242718, 107811548, 46859049, 913167986, 924903276, 962301307, ( -1), ( -1), ( -1), 227494062, ( -1), 805542317, ( -1), 188358265, ( -1), 132184090, 788027219, ( -1), 45967711, 714422136, 538609826, 780827262, 850802454, 23362508, ( -1), 736581422, 985361894, ( -1), ( -1), ( -1), 871412559, 742591049, 162911938, 143679465, 855198062, 693162741, ( -1), 815525018, ( -1), ( -1), 692534142, ( -1), 305247643, 384065648, ( -1), 614159816, 773910802, 834024679, 501681733, 78329783, 172789877, 551440200, 930218212, ( -1), ( -1), ( -1), 1160957, 115573055, 132552945, 653129353, ( -1), 427360199, ( -1), ( -1), 798848720, 483271607, 792240040, 463268584, ( -1), 985814909, 197626009, 532353590, ( -1), 772441147, 932432089, ( -1), ( -1), 520613896, 718991801, ( -1), 879145848, 930824882, 381605566, 239513404, 618346990, ( -1), 328105606, 464907945, 397603313, ( -1), ( -1), 778856008, 519519744, ( -1), 222186565, 312991069, 772817748, 854935240, ( -1), 403831575, 889956116, 652663320, ( -1), 561276948, 395150632, 923906667, 745609020, 693696066, ( -1), ( -1), 958736213, 756300205, 549990493, ( -1), 895991642, 430952781, 691205784, ( -1), ( -1), 434129693, 940802717, 198191607, 627639815, ( -1), ( -1), 140027654, ( -1), 561560118, 41408107, 800100843, ( -1), 98905532, 224042982, ( -1), 722412273, 416352337, 59974097, 146366889, 84787373, 193389456, 232645866, 171755444, 509614028, ( -1), ( -1), ( -1), 35323881, 387326045, ( -1), 14479892, 862696305, 384336964, 548642357, 843122625, 904262826, 489028423, ( -1), 56835097, 862480353, 46564321, 760005370, 798444208, 809283345, 604021931, 892005474, 90538246, 905718677, 713795051, ( -1), ( -1), 734269721, 402057103, 402772972, 216510346, 960196661, 831582614, 870279138, ( -1), 775830848, 939801028, 845632283, 910055153, 703282755, 337706067, 771557607, ( -1), 885321182, ( -1), 180536627, 348154758, 236995563, ( -1), ( -1), 396712990, ( -1), ( -1), 304327768, 171801192, 607010138, 458274056, ( -1), 263841694, 970483972, ( -1), 837696258, 284978, ( -1), ( -1), ( -1), 400807257, 52627558, 5935296, ( -1), 355472595, 887607262, 63352391, 284862477, 726458499, 41259504, 358847518, 209740265, ( -1), 285161641, 426410458, 666156570, 126772513, 275532065, ( -1), 434666572, 58167072, ( -1), ( -1), ( -1), ( -1), 800925859, 393354010, ( -1), 717173433, ( -1), 114304089, 780279645, ( -1), 632511456, ( -1), ( -1), 471375543, 350765523, 598873382, ( -1), 470105319, ( -1), ( -1), 195495912, 782979020, ( -1), ( -1), 913871259, ( -1), 449239578, ( -1), 911937076, ( -1), ( -1), 554422963, 591049426, 350423771, 631473586, 913225190, ( -1), 723828227, 316304950, 172898551, 651531115, 167864576, 211465332, 579083922, 468878194, ( -1), ( -1), 487360664, 369058798, 110934556, 131669553, 276134744, ( -1), 130201804, 980715726, ( -1), 514575156, ( -1), ( -1), 611351997, 35110852, ( -1), ( -1), 452136198, 536663983, 617700173, 221573428, 50179303, 161950423, 474336240, 96428395, 934473402, ( -1), ( -1), 160072865, 216145497, 269794287, ( -1), ( -1), ( -1), 561018838, 669091760, 521566326, ( -1), ( -1), 427314016, 834090393, ( -1), 995393591, 626567006, 3549016, ( -1), 47934395, 597311334, 920906026, 941866242, 643447733, ( -1), 588082040, 801212410, ( -1), 532087009, 449379390, ( -1), 835164864, 614608727, ( -1), 624645018, 223923483, 913113376, ( -1), 833918111, 603938122, 482085410, 649195828, 850054210, ( -1), ( -1), 671940893, 462270144, 563269270, 734862154, 348475718, 910461830, 248529164, 999965867, 118888478, ( -1), 105150978, 877848214, ( -1), 686676093, 881210985, 108588003, 596376206, 686543878, ( -1), ( -1), 405982452, 616963380, 249045905, 934703487, 160995334, 844472326, ( -1), 524428114, ( -1), 986392428, ( -1), 9082363, ( -1), 654440893, ( -1), 486940303, 427003767, ( -1), 196125940, 694111286, 331268406, 452133758, 26678569, 846647976, ( -1), 825625963, 568256443, 958522913, ( -1), 39598607, 466793458, ( -1), 799032573, 426741690, 818329954, 592027526, ( -1), 381146736, 31237743, 70995925, 392306104, ( -1), ( -1), ( -1), 415672997, 11313029, 123530087, 131017573, 264435899, 557320917, 548358931, ( -1), 9664882, 587330678, 975509764, ( -1), ( -1), 825811268, ( -1), 973364046, 528915121, ( -1), ( -1), ( -1), ( -1), ( -1), 25319584, 152905556, 217083252, 384936064, 429574508, 538992317, 238711875, ( -1), 680020220, 398013302, 924672283, 632906802, 363137925, 48569381, 606668449, 906819735, 781169442, 331114357, 752690988, 963454250, ( -1), ( -1), 65852667, 425835203, 409480216, 568034425, 308462199, 818349175, 389827248, ( -1), 177500395, 135380234, ( -1), 633318815, 631857073, ( -1), 907178128, 949258333, 271719695, 306898373, ( -1), ( -1), 618879642, 35995188, 507671692, 73296377, ( -1), 990167761, 923495303, ( -1), 930836588, 777003754, 846157883, 946741288, 411988072, 570840998, ( -1), ( -1), ( -1), 398552387, 267497181, 546113296, 371045113, ( -1), 119468828, ( -1), 627434090, 271186969, 817931032, 185679157, ( -1), ( -1), ( -1), 681671886, ( -1), ( -1), ( -1), 431657326, ( -1), 609489623, 644787435, ( -1), 187667636, ( -1), 525251202, 849587180, 760532784, 285551547, 879020555, 158826354, ( -1), 132899676, ( -1), 99874392, ( -1), ( -1), 114417892, 329134516, 516040093, 540338947, 272802914, 74221452, 550329424, 693796617, ( -1), ( -1), 758629432, 559956384, 161979355, ( -1), ( -1), 49278567, 731502476, ( -1), 90756605, 889111978, 822609224, 822035766, 416746875, ( -1), 418236616, 210861832, 226785676, ( -1), ( -1), ( -1), 508771530, 306066529, 705664343, 830119590, ( -1), 533125759, 186668065, 85604198, 917391494, ( -1), 449045360, ( -1), 941769021, 535708533, 424738299, 457936896, 7359078, 74264414, ( -1), ( -1), 599368368, ( -1), 463716209, 891511400, 820512215, 118108408, 218528502, ( -1), 206706641, 390215513, ( -1), 856882621, 346334680, 24610636, 3206896, 218365404, 68080787, 366552567, ( -1), ( -1), 222007591, 414446545, ( -1), 252708346, ( -1), ( -1), 423090896, 39791746, ( -1), 743423639, 450045689, 917379740, ( -1), 339630998, 136938493, ( -1), ( -1), ( -1), 913142041, 789608332, 776434186, 683281176, 320381322, 254513003, ( -1), 398787271, 770679966, ( -1), 561886457, 693801694, 366970758, ( -1), 611286688, ( -1), ( -1), 348286152, 747873257, 453137409, 599980683, 359451158, 321105468, 642430893, ( -1), ( -1), ( -1), 560703495, ( -1), 929851594, 75096370, 894465141, ( -1), ( -1), ( -1), 471206280, 713714341, 391363815, 163017888, 599436268, ( -1), 618054620, 139673290, ( -1), ( -1), 53489882, 964519149, 193350169, ( -1), 33668313, 569995894, 945259017, 573692250, 981837967, 721549083, ( -1), 201308686, ( -1), 143374274, 551631336, ( -1), 459964160, 937510980, 163529090, 29442497, ( -1), ( -1), 600300036, ( -1), 783781580, 92102126, ( -1), 152268275, ( -1), 527574088, 906325190, ( -1), 703877318, ( -1), 164137427, ( -1), 186534671, 929307019, 220504221, 673294145, ( -1), 308923088, ( -1), ( -1), 527145480, ( -1), 772797017, 932943068, 322131183, 296372742, ( -1), 196309925, 81639166, 257492607, 202322278, 200094845, ( -1), 303575621, 803451195, 727997163, 497424635, ( -1), 565013044, 311008123, ( -1), ( -1), ( -1), 550315016, 803927205, 67277779, 256187328, ( -1), 342423832, 431495795, ( -1), 39025873, 208411747, ( -1), ( -1), ( -1), 234877481, 786369652, ( -1), 579392868, 117954746, 448480679, 232144025, 737133122, 408954948, 404225788, 971569053, 192398424, 515242052, 748351757, 290674370, 87897154, 53045621, 813674912, 626282840, 813855854, 868794916, 916130993, 748396484, 760198237, 104181796, 686893523, 389550264, 705588163, 473406383, 304460523, ( -1), 717931462, ( -1), 840741558, 982560516, 858264425, 726104645, ( -1), 965327627, ( -1), 84319748, 89732002, ( -1), ( -1), 896492183, 332482358, ( -1), 202496039, 327104141, 664486955, 127446489, ( -1), ( -1), 138726467, 549087060, 834760371, 711126847, 84472536, ( -1), 178180003, 549545319, 558675806, 785778323, 909812419, ( -1), 532749467, ( -1), 733550866, ( -1), 800105703, 154350141, ( -1), 602894219, ( -1), ( -1), 242686181, 255010598, ( -1), 136308373, ( -1), 518507592, 580341144, ( -1), ( -1), 316834091, 364298085, 965978291, ( -1), 553741469, 617157268, 177213900, 174109911, 248302313, 939923062, 52510698, 654730174, ( -1), ( -1), ( -1), 230440852, 301477810, 547766169, 164770788, 282646369, ( -1), 197843148, 915359258, 668630585, 31058626, 783251060, 153231615, 612350552, 737050082, 867123452, 989719612, 557275209, 946995767, 732531106, ( -1), 966207200, 199387513, 370750570, 852634202, 754113253, ( -1), 446292714, ( -1), 481668120, 675637435, 206091453, 382852198, ( -1), 553191960, 490223724, 21973314, ( -1), ( -1), ( -1), 794573915, 29254457, 610762808, 865599140, 367867443, 986317160, 582969264, 15617112, 277200165, 17003774, 266811968, 999995929, 565269138, 404723790, 88671099, 226068182, 153581391, 374451361, ( -1), 66136216, ( -1), ( -1), 204009601, 315796469, 788096346, 833506705, ( -1), ( -1), 221810251, 572636354, 600903524, 361722152, 493729433, 984372457, 82680257, ( -1), 577656212, 320612865, 505299823, 309729471, 250091081, ( -1), ( -1), 973781785, 927638802, ( -1), ( -1), 685694235, ( -1), ( -1), 337308487, 841147738, ( -1), 119271813, ( -1), 722728504, 281281844, 775742764, 285060959, 382065985, 909377941, ( -1), 534442397, ( -1), 564943271, ( -1), 697458207, 618394997, 140603630, 896855521, ( -1), 549889992, 476612989, 699065546, 484065307, 632934971, 92614338, ( -1), 347438275, 473112431, 302104397, 345705580, 998615449, 450658078, 586019054, 537620452, ( -1), 790786239, ( -1), 287908004, 183034481, 169667314, 929849895, ( -1), ( -1), 335123241, ( -1), ( -1), 449106287, 503269995, 789110446, 46294524, 349299893, ( -1), 223663045, ( -1), ( -1), 29533966, ( -1), ( -1), 668415342, ( -1), 923574909, ( -1), 374730605, ( -1), 321982222, 368709404, 945614082, 285596464, 371423262, 434592694, 632300676, ( -1), 678072809, 756474782, 859882430, 555191464, ( -1), ( -1), 610623331, ( -1), 511542593, 677009414, 560678612, 679494883, 383408614, ( -1), 628498590, 664304327, 905466027, 606366151, ( -1), ( -1), ( -1), ( -1), 847134029, 313169316, 921523596, 663627664, 170312473, ( -1), ( -1), ( -1), 81586749, 158614746, 653908344, 806605826, 401317195, ( -1), 35032165, 217305305, ( -1), 589717917, 778743227, 116701176, 104233782, 431749972, 961515196, 84570455, 850492995, ( -1), ( -1), ( -1), ( -1), ( -1), 876874540, 219635757, ( -1), 197980141, 386926862, ( -1), 841124039, 796335711, ( -1), ( -1), 924569114, 254685591, 442482782, 498805848, 213952118, 787553181, 965778620, 538178252, 402421781, 682827443, 275206439, ( -1), 427893415, 905687460, 766346970, 396765722, 44152054, ( -1), 330646003, 944994732, 98298436, 258946194, ( -1), ( -1), 259845240, 682951982, ( -1), 352215994, 771944233, 620912312, ( -1), 409220047, 297873154, 696061270, 849342016, 85348128, 863489081, 570483420, 530215196, 888796870, 498782839, 120739651, 189889905, 101711312, 208846075, 487599444, 311738943, ( -1), ( -1), 716222759, 280274022, ( -1), ( -1), 445629052, 406883252, ( -1), 719337841, 525869660, 475150760, 871958341, 890185989, 353324897, ( -1), 2804091, 224180071, 361601933, 493808777, 669634668, 769862253, 339189820, ( -1), 459859297, 692482000, ( -1), 252218010, 110776087, 912771549, 5506743, ( -1), ( -1), 251431666, 961817365, ( -1), ( -1), 248168671, 144574851, ( -1), 492323936, 84246247, 952812879, 960938140, 942727458, 110222507, ( -1), 470748659, ( -1), ( -1), 934046621, 49165376, 654419364, 70153298, 630898278, 706626503, 68971708, 190955143, ( -1), 452675326, 83689186, 138159356, 820490734, 279685408, 773126718, ( -1), 922745875, 360043098, ( -1), 22286671, 899823065, 174211657, 612111411, 512322430, 899296335, ( -1), 148342858, 990365690, ( -1), 269926294, 784910934, 53223891, 217089833, 892061217, 133164639, 657707709, ( -1), ( -1), ( -1), 229581006, ( -1), 122703614, 150841715, 411317910, 321263634, 295004799, ( -1), 156319868, ( -1), ( -1), 44688544, 482338911, 303559635, ( -1), 471432743, 823414353, ( -1), ( -1), 866754501, ( -1), 839824749, ( -1), 748346307, 603345372, 706133066, 675075252, ( -1), 91242508, ( -1), 144849491, 562770890, 426757015, 911625189, 953671506, 514695638, 425245614, 234640594, ( -1), 883890931, 181600943, ( -1), ( -1), ( -1), 804873128, 868371126, 240388020, ( -1), 434026641, 791989850, 943128680, 104042269, 197049197, 516049975, ( -1), ( -1), 726254280, 147078858, 981130579, ( -1), 642130999, ( -1), 143844566, 222883373, 189221007, ( -1), 154379952, 293707602, 578612841, 351104714, ( -1), 252991242, ( -1), 388522575, ( -1), 431960841, ( -1), 647375583, 506282973, ( -1), 859760241, 490465072, 398659448, 445782079, 246209667, 53000224, 224273130, 133990278, ( -1), 300664048, 467431759, 357439454, 916794619, ( -1), 842216358, 208807063, 205293993, 66283045, 97370150, 677711355, ( -1), 949966648, 532515094, 280863549, 164095703, 82710807, ( -1), 743047557, 7241089, 949834175, 927043071, 72431008, 158173500, 846462910, ( -1), ( -1), 122220906, 785565410, ( -1), 380364447, ( -1), 288243286, 698864632, ( -1), 603361583, 171490920, 360534575, 53957580, ( -1), ( -1), 411400482, ( -1), 703222425, 276622556, 544964478, ( -1), ( -1), 731227965, 767028031, 345180971, 142215406, 208332102, 295046349, 75739075, 774329738, 842072880, 133281730, 199938193, ( -1), 254249040, ( -1), 756430840, ( -1), 216580590, 808376542, 782288982, ( -1), ( -1), 26804709, ( -1), 725081673, 996486348, ( -1), 889172990, 470194286, 695320336, 853359301, ( -1), 949886093, 916745753, ( -1), ( -1), 434752518, 98501816, 4716168, 332054092, 523164551, ( -1), 938565841, ( -1), ( -1), 524664200, ( -1), ( -1), 825386672, ( -1), 732854465, ( -1), 259047425, 273024844, 542376447, 800692890, 625276281, 437674179, ( -1), 127470196, 579800145, 207131736, 874201148, 413854485, 693719949, 695312394, 257558859, 217880426, ( -1), ( -1), 438845150, 84143484, 305358438, 647865670, 379427329, 785281881, ( -1), 824808971, 552792461, ( -1), 948258109, ( -1), 112664856, ( -1), 324498946, 931486861, ( -1), 296715842, 380246764, 567366451, 62494098, 709620084, 115445365, 351149462, 667172847, 182361471, 466661116, 357552527, 687224956, 251977523, ( -1), 547034672, 687149858, 322979048, 149175116, ( -1), ( -1), 514141368, 702464431, 872158329, ( -1), ( -1), ( -1), 227599983, 537860296, ( -1), 954497189, ( -1), 863660264, 546799084, 414054742, 350226955, 563069489, 151477467, 39979398, ( -1), ( -1), 505183779, 700120222, 109570005, 544460463, ( -1), ( -1), ( -1), 156809937, 649943997, 765620164, 164172171, 700417288, 195627896, 641509578, 366147491, ( -1), ( -1), ( -1), 655719326, 880298455, 850989833, ( -1), 950828189, 403254005, ( -1), 623561649, 91519307, 413784426, 92396274, 258317703, 467021133, 615307266, 231345812, 516800711, 405570361, ( -1), ( -1), ( -1), 114498852, 886554404, 640705511, 805542975, 574576251, 316421085, ( -1), 799663583, 897072942, ( -1), ( -1), 380209872, ( -1), ( -1), 126001988, 568721108, 79391161, 53462296, ( -1), 956300847, ( -1), ( -1), 132498926, 647304636, 303688509, ( -1), 347643786, ( -1), 273257903, 632521219, 251134738, 126464209, ( -1), 205283681, ( -1), ( -1), 545388792, ( -1), ( -1), ( -1), 258625913, 867369534, 395689825, 463702464, ( -1), 235563987, 298312054, ( -1), 627549227, ( -1), ( -1), ( -1), 980400341, 763014539, ( -1), 159060419, 482366140, 413503013, ( -1), 505344371, 734737656, 145593677, ( -1), 194961782, 516543607, 227267892, ( -1), 537063108, ( -1), 886071925, 829052623, 330105821, ( -1), 315725404, ( -1), 395780716, 787440103, ( -1), 300223755, 98574585, 899706455, 496650590, 78706074, 952535115, ( -1), ( -1), 911137800, ( -1), 485294427, 145804337, 281114661, ( -1), ( -1), 111834517, 606995738, 88632243, 953165976, ( -1), ( -1), ( -1), 356509664, ( -1), 900792905, 458639409, 281117991, 24709769, ( -1), 376010125, 468755246, 817588614, 420830019, ( -1), 406489563, 184135605, ( -1), ( -1), 120846254, 883827621, ( -1), 241131056, 268156552, ( -1), 192117197, 168090323, 212629068, 243783216, 281546610, 868718474, 186321236, ( -1), ( -1), 368485229, ( -1), 214594664, 578838326, 865799108, 334495676, ( -1), 846653766, ( -1), ( -1), ( -1), 599841172, ( -1), 143711879, 261611283, 235202897, ( -1), 897098672, 309942092, 729668157, ( -1), 946217008, 986679815, ( -1), 326613026, 469949069, 63711543, 629294977, ( -1), ( -1), 690589960, ( -1), 727850237, 288397507, 432467277, 473515887, 419969737, 614650819, 89254115, ( -1), ( -1), 607363317, 112055593, 922566502, ( -1), 323929521, 276473190, 756895800, 362362529, 702129617, 103085552, 27616232, 831745957, 183803, 751196631, 16037237, 660148551, 74152482, 209615219, 255589766, 491718720, ( -1), ( -1), 147911848, 906251537, 621178518, 401525892, 243429564, 534077139, ( -1), 246228960, ( -1), 390716571, 420039660, 953718600, ( -1), 36876439, 342903851, 847299076, ( -1), 394549952, 7521032, 178642633, ( -1), 237408469, 833841924, 384028171, 539096562, 243464289, 365878346, 391273119, 501510036, 389583795, ( -1), 623543370, 761477891, 276217000, 670532715, ( -1), 609982922, ( -1), 594124597, 541022726, ( -1), ( -1), ( -1), 504975796, 953391752, ( -1), 668944811, 696440818, ( -1), 439461931, 305118023, 101429992, ( -1), 647856502, 113964229, 785714640, 949362537, 767643536, 194216324, 643678375, ( -1), 363658989, 349762856, ( -1), ( -1), 928509843, 348230939, 937636473, 272844024, 8081149, ( -1), 919686598, 37136394, 255082829, 678512061, 330568111, 102321444, 463821451, 129726805, 432246056, 340505822, ( -1), 568806779, 170841313, 927638167, 126589447, 350437568, 64266074, 353866952, ( -1), ( -1), 547670552, 643833385, 47661235, 224431835, 68708659, 73406177, 393109392, ( -1), ( -1), 272013948, 441365175, 88200491, 268440701, 243748057, ( -1), 154574469, 799714827, 159287673, 78367922, 861689248, 721270668, 710342344, 898597402, 332027001, 228398351, 847947593, 713711370, 385796410, 687565550, 903471196, 70068089, ( -1), 750043581, ( -1), 175208685, 704058818, 700771828, 895306075, 543771998, 244937965, 383757129, ( -1), 215827749, 74703756, 732515299, 435824300, 341172775, 687083914, 861996993, 680152272, 552029548, 478461005, 164128977, 850047452, 480979781, 295931819, 120358341, 245245752, 134016531, 776434979, ( -1), 131263997, ( -1), ( -1), 598760688, ( -1), 380385784, ( -1), ( -1), ( -1), 173378538, 448832938, 942522847, 523693183, 890976267, 144392552, 400131903, 470771004, 551484549, 32006402, ( -1), 774932829, 73173971, ( -1), 348404916, 986054678, 808804060, 432799275, 153055663, 664592051, 478977188, 231929570, 950116608, ( -1), ( -1), 669557157, 353404937, 22789900, ( -1), 241509634, 214221892, 828581639, ( -1), 135884940, 425686438, 337828074, 988785369, 250393345, ( -1), 631758165, 318647017, ( -1), ( -1), 416610846, ( -1), 949269743, 223602274, ( -1), 474316704, 113623566, 261679507, 29832056, 590983849, 181647980, 323296393, ( -1), 473581347, 959076870, 973671007, 515551481, ( -1), 640170291, 284270516, 447556856, 556912172, 407593821, 589484518, 430475467, 55473321, ( -1), ( -1), 30161915, 333166004, 227383243, ( -1), 130375253, 625003774, 275682668, 963846339, 842167772, 902491608, 867567449, 295054945, 186547900, 731348815, 950627087, 218865895, ( -1), 957278511, 369684455, ( -1), ( -1), 955494639, 945740017, 877216555, ( -1), ( -1), 830697595, ( -1), ( -1), ( -1), 861233814, 879160331, 257559332, 914247289, 832488329, ( -1), 668981303, ( -1), 997044565, 71431440, 1504874, 23229442, 227496786, 709616619, 521590585, ( -1), 983272101, ( -1), 652457045, 932746238, 176317056, ( -1), 168334474, 484768665, ( -1), 130813265, 406153724, 313149589, 21469111, 954927461, ( -1), ( -1), 816828502, ( -1), 123578782, ( -1), 860064234, 772456002, 859030979, 166723920, ( -1), 945787517, 298819379, ( -1), 192924544, ( -1), ( -1), 542980403, 400474719, 29505449, 847564331, 271379284, 906974599, 61935095, 934543259, 294086973, 562321494, 468656179, 594805003, 800090618, ( -1), 32329013, ( -1), 503437735, 895104567, 805407478, 706908176, 503343330, 798037041, 548784525, 577919812, 811361372, 811372159, 358638011, 631247017, 587987752, 886219709, 244271769, 197504167, ( -1), 367468004, 696261232, 590097858, 336483078, 376242150, 674705895, 853840216, 592987323, 247136186, ( -1), 598352116, 860661932, ( -1), 394337665, ( -1), 116464040, 323204924, 207883177, 500521751, 945168274, ( -1), 571148184, 495560664, 249808262, 469931288, 424557254, ( -1), 21629374, ( -1), 256335180, 643307888, 275514031, 404104328, ( -1), 304001033, 569520144, 509675263, ( -1), ( -1), 111931030, 964169325, 887805846, 288981493, 135762209, ( -1), ( -1), 654535586, 561778089, 427752189, ( -1), 368097788, 307866535, 456043547, 252080928, ( -1), 818624106, 852626775, 525560951, 332962620, ( -1), 738942286, 104816409, ( -1), 956786380, 810272764, 206801673, 915446561, 494755809, 616582585, 549507883, 332781980, 892878858, ( -1), 925975700, 859588638, 607103735, 708107015, ( -1), ( -1), ( -1), ( -1), 44841884, 853435537, ( -1), ( -1), ( -1), 662524845, ( -1), ( -1), 825573696, 362354829, 730727704, 219984101, 345574419, 172473521, 517785517, 495966305, 186621011, 595005475, 250442397, 619743261, ( -1), 128802264, 969688512, 242468965, 274532547, 765423114, 418209185, 181539970, ( -1), ( -1), 847973499, 542376784, 773932063, ( -1), 142683799, 728219546, ( -1), ( -1), 183804207, 966480535, 765782982, 599435030, 65506267, 507779432, 874655171, ( -1), 178163762, 803696504, 199456443, 118766151, ( -1), 433973070, 374268363, ( -1), 379239392, ( -1), 357630809, 181840492, 781662263, 229984327, 283704808, 716470424, ( -1), ( -1), 270127116, 172409187, 773551733, 59187738, ( -1), 59378729, ( -1), ( -1), ( -1), 927212620, 416863798, 963042125, 771109999, 923530017, ( -1), ( -1), 879968318, 314877994, 155082165, ( -1), 14428429, 103453481, 684947914, 823862043, 467191250, 183332216, 748396639, ( -1), 455565785, 627004616, 841405407, 478147700, 490974345, ( -1), ( -1), 791266239, ( -1), 862089682, ( -1), 411582130, 798578171, 546135308, 210677072, 65698431, 866352100, 779501935, 595660630, 930118472, 887829160, ( -1), 469099908, 29563120, ( -1), 885592131, 992079198, 563240024, 329823571, 388005970, 745144715, 135828853, 145026702, ( -1), 913763537, 680150314, 407795684, 66523590, 557987787, 72796717, 636423420, 466009060, ( -1), 315559170, ( -1), 54844174, 374831120, 160615378, ( -1), 191262601, 257171411, 853796411, 462547976, 937450032, 6017076, ( -1), 263815604, 313690321, 714735712, ( -1), 316324746, ( -1), 471575476, 504270206, 443606801, 66908796, 621656326, 687985015, 887051843, 49864859, 89859930, 391165968, 670005665, 177411488, 25049680, 37009640, 448360270, 684189767, 554186425, 256260865, 469040865, 960679853, 455268915, ( -1), ( -1), 146026411, 273612655, 99785167, ( -1), ( -1), 685261157, 672291673, 814702287, 833145301, 480647507, 455405252, 693910516, 637874171, 554653792, 992691769, 3650397, 17530641, ( -1), 510363459, 986372990, 208118255, 21340035, 693489018, ( -1), 735115182, 169365011, ( -1), 846854699, ( -1), 767577473, 944962580, 305273715, ( -1), 716127754, 827932276, 96233236, ( -1), 16942806, ( -1), 220299801, 91951846, ( -1), ( -1), 762071919, 552827074, 425150830, 171829125, ( -1), 831872189, ( -1), 287380153, ( -1), 483347913, ( -1), ( -1), 348421655, 112876093, 722403023, 438163590, 139883318, ( -1), 638123750, ( -1), 691198710, 719212248, ( -1), ( -1), 144811370, 126731312, 127963833, 743366772, 674169218, ( -1), 189351805, ( -1), 791476478, 281037151, ( -1), ( -1), 363752317, 744415248, 978760360, 626347066, 511357946, ( -1), 226702573, 288155757, 727776021, 781779710, ( -1), 653773898, ( -1), 887184470, 645687684, 937317870, 876021474, 408264087, ( -1), 296881037, ( -1), ( -1), 905651051, 409739949, ( -1), 451281870, 331289872, ( -1), 975786659, ( -1), 874592042, 357800791, 541798143, 319245646, ( -1), 266484271, 914112037, 337648167, 187769381, ( -1), 238441639, 348276113, 903211948, 912872151, 361850471, 593885741, 891559217, 122779111, 279039273, ( -1), 678575737, ( -1), 962338289, 540590146, 495233644, 866765437, 862304988, 442040938, 568061105, 633782124, ( -1), ( -1), 409368142, 476225698, 993341134, ( -1), 159026523, 673558, 320317321, ( -1), ( -1), 242385485, 748433108, 47673370, 952643352, 305656540, 241279248, 686679438, 701811565, 368929225, 57289646, 647119344, 700419079, ( -1), 434531629, 597208613, 138863294, 945408659, ( -1), 78175167, 131846661, 885058587, ( -1), ( -1), 331424435, ( -1), 77593330, 637318463, 479498467, ( -1), 29225165, 234120428, ( -1), 470752241, 776207354, 13767193, 194842257, 136923033, 832974129, 32861995, ( -1), ( -1), ( -1), 51222606, 100566068, 56976821, 901992255, 95245809, 590815241, 301036386, 628329757, 414735959, 265054437, 202751733, 900411078, 621283093, 687094814, 8633776, ( -1), 739740537, 856942666, ( -1), 972555847, 719628203, 112060252, 501942376, 547050069, 689632092, ( -1), 507864684, 928146318, ( -1), ( -1), 849920733, 941062725, 512874838, 142316289, 936580217, 817083751, 67553910, ( -1), ( -1), 879785502, 632179364, 669687193, 97607371, ( -1), 397148513, 136333606, 807346381, 87643839, 265942867, 558350556, 218671109, 382532690, ( -1), 185156207, ( -1), 533178979, 389978972, 348619630, 947462981, ( -1), ( -1), 300390058, 417370709, 380571023, ( -1), 28240634, ( -1), ( -1), 776759590, ( -1), 284075775, 238308806, 167985127, ( -1), 68392284, ( -1), 628119898, 519713041, 671220621, 314334272, 410392608, 820224918, ( -1), 386746458, 343042708, 67067350, 996381138, 146391459, ( -1), 395468399, 638622765, 679759814, 577843790, 911007535, 661008162, ( -1), 909385094, 873568055, 68723598, 696697645, 669674225, 872460110, ( -1), 885406451, ( -1), 884909031, 16789913, 725629372, 754343315, ( -1), 673587858, 846226445, ( -1), 614707723, 786939074, ( -1), ( -1), ( -1), 287898261, 789643339, 848053, 922933054, 169540686, 981678741, 163025554, 325902458, 374955841, 886868418, ( -1), 406197785, ( -1), 43095756, 415994913, 609004944, 252498880, 280983047, 889860262, 257212343, 16789061, 193516888, ( -1), ( -1), 775134919, 44805996, 863830911, 817764254, 866571793, 116162288, 666240515, ( -1), 958255225, 236287890, 69900519, 136816973, 163913910, 199668950, 288341686, 817153193, 598716259, ( -1), 365255236, ( -1), 628997493, 688587155, 603867286, ( -1), ( -1), 216012170, 263863294, ( -1), 444381196, 150216460, 222092725, 433335860, ( -1), 376295170, ( -1), 680150915, 250696552, 94060274, ( -1), 55627945, 217444499, 85516424, ( -1), ( -1), 348115230, 39722932, ( -1), 646548696, ( -1), 598345538, 921235065, 513230518, 599056264, 378225157, ( -1), 9591438, ( -1), ( -1), 43679476, 224817457, ( -1), 278590515, 962581438, 152544840, 198483870, 636725702, 840683039, ( -1), 165711208, ( -1), 852694054, 747925495, ( -1), 534763341, ( -1), 917150489, 612826768, ( -1), 374879393, ( -1), 754167270, 287755704, ( -1), 487084472, 509210957, 463415118, ( -1), 271260206, 403491386, 417466466, 885467497, 13405391, ( -1), ( -1), ( -1), 534297968, ( -1), 187822340, 731889260, 517178943, ( -1), ( -1), 370453994, ( -1), 785643547, ( -1), 465719393, 544498623, 46175236, 223988287, 824545698, ( -1), ( -1), ( -1), ( -1), ( -1), 143072019, 27341911, 158440702, 198079438, 788687615, 199089556, ( -1), 992774370, ( -1), 191978196, 538047879, ( -1), 844993335, 840897848, 259952216, ( -1), 392550230, 411272154, ( -1), ( -1), 922308481, 248426324, ( -1), 416932248, 449956989, 616619484, ( -1), 742715878, ( -1), ( -1), 304847069, ( -1), 774807814, 107257831, 443375161, 310993363, 128316642, ( -1), 190367390, ( -1), ( -1), 609244742, 671124054, 960224125, 971953170, 801623981, 506499375, 138965657, 732482712, ( -1), 31125284, 124575134, 718883232, 39586005, ( -1), ( -1), 55341292, 782128986, 871721041, 428194175, 47682557, ( -1), ( -1), 747930743, ( -1), 751776221, ( -1), 74363228, 472876088, ( -1), 634122681, 434801210, 947856198, ( -1), 462829641, 161575682, 734435305, ( -1), ( -1), 7579916, 284243037, ( -1), 858996953, 368374929, 780365490, ( -1), 859911049, 27759721, ( -1), 234011149, 588632814, 988684706, 364798062, 42792758, 640003328, 844219685, 269542889, 288728620, ( -1), 290347837, 882346380, 240414410, 67595494, 275032053, 88893408, 515310441, 383458184, 522807185, 74904519, 611015041, ( -1), ( -1), 38268717, 367435034, ( -1), 571370161, 983274359, 753656474, 856786033, 998194613, ( -1), 56229124, 57456992, ( -1), 161211709, 722915860, 497781362, 772510371, 255981628, 546500065, ( -1), 105152146, 350109164, 314913547, 157427927, 854142894, 189852934, 105887589, 166706676, 648964113, 717332514, ( -1), ( -1), ( -1), ( -1), 937036383, 430237242, ( -1), ( -1), 912167160, ( -1), 783549478, 396731436, 100080742, 34176564, 135062816, ( -1), ( -1), 184208931, 13964076, 282020576, 754487531, 717755723, ( -1), 702808542, 175917882, 85720158, 885733629, ( -1), 995914158, ( -1), 822752298, 231788755, ( -1), 217035445, 931163260, 563265375, 1889716, 408160934, 767015036, 878004801, 821631819, 380663808, ( -1), ( -1), ( -1), ( -1), 130490119, 168281160, ( -1), 102373487, ( -1), 131944757, ( -1), 17855817, 724260947, ( -1), ( -1), 416293461, 776856357, 446023001, 867713079, 689165636, 90556060, 729957247, 456522287, 723577284, 311456635, 219027762, 794150836, ( -1), ( -1), ( -1), 621636607, ( -1), ( -1), 852976940, 51469527, ( -1), ( -1), 387844816, 186188675, ( -1), ( -1), ( -1), ( -1), ( -1), 638551861, 640516294, 803664353, ( -1), 442092717, ( -1), ( -1), ( -1), 178636388, 760960472, 541058793, 474510177, ( -1), 377424564, ( -1), 889445779, 463401397, ( -1), 781861616, ( -1), 416964376, 58546477, 733352031, ( -1), ( -1), ( -1), 381237281, ( -1), 392157136, 351644414, ( -1), 949439956, 903653952, ( -1), ( -1), 487765460, 274130338, 207349018, ( -1), 984432752, 664500537, 487691043, 213326262, ( -1), ( -1), ( -1), 177509617, ( -1), ( -1), 321107630, 440687904, 326023580, ( -1), ( -1), ( -1), ( -1), 119630641, 696176015, 371366069, 153675653, 327435488, 20253492, 681419664, ( -1), 154726326, ( -1), ( -1), 290816762, 612336989, 669189975, ( -1), 724449157, ( -1), 775743289, 402974273, 277131944, 162789300, 474174464, ( -1), 762928556, 947983282, 520491841, 440704891, 373657874, 258429883, ( -1), ( -1), 394096785, 383989313, 602255519, 194156667, ( -1), ( -1), 65915568, 698859788, 562192702, ( -1), 661129127, ( -1), ( -1), 491432216, ( -1), 569747724, ( -1), 179966258, 268851004, ( -1), 16049577, 129716987, 610962057, ( -1), 290042535, 191495429, 412293856, ( -1), 102815672, 917933343, 950002742, ( -1), 146815705, 670508408, ( -1), 796596186, ( -1), 12844097, ( -1), ( -1), ( -1), 724528152, ( -1), 748261040, ( -1), 752070668, 171039651, 164161134, 769506588, 927858314, ( -1), ( -1), 997168113, ( -1), 772581484, 986506135, 957083073, ( -1), ( -1), ( -1), ( -1), 927159712, 460197479, 566410683, 219376265, 566966368, 691857816, 822014781, 494716461, ( -1), 809495763, 928683397, 147732481, 896835032, 746873324, 938704241, 216748421, 488207737, 80750577, 803099608, 695288615, 815674478, 789078165, 844937770, ( -1), 48150735, 898232153, 333267524, ( -1), 625095404, 190884361, 304944042, 875403240, 273701064, 403530415, ( -1), 705523324, 731381794, ( -1), 303551615, 407356085, 944910928, 469789239, ( -1), 194958785, 234123166, ( -1), 200151822, 10673599, 996244576, 709914132, 270141254, 744477234, 494336644, ( -1), 44774326, ( -1), 780067293, 216905889, ( -1), ( -1), 15149657, 622790163, 33119513, 6138455, ( -1), 587470642, 527233776, 876896892, 460435192, ( -1), 511625761, 808871940, 417020053, ( -1), 141585912, 391827844, 766771059, 254173127, 565795355, ( -1), 901105072, 105734286, 818349777, ( -1), 290087580, 650766654, 717916293, 356399714, ( -1), 11382820, 894206233, 150960328, 794823414, ( -1), 944604965, ( -1), ( -1), ( -1), 669979450, ( -1), ( -1), 951434564, ( -1), ( -1), 262440611, 367275887, 803885891, 651935020, 160653951, ( -1), 789612420, 890307575, 523557217, ( -1), 600651085, ( -1), 411634778, ( -1), 647507217, 884930917, 682796905, 444726197, 157653133, 156725318, 837573346, 870685994, 450604363, 532004088, 529022463, 242435268, 740043639, 515022823, ( -1), 955860749, 70935737, 539331852, 155729861, 349698231, 733874319, ( -1), 954347965, ( -1), 183125372, 846140739, 267872445, ( -1), 107226081, ( -1), ( -1), 646092630, 735845040, ( -1), ( -1), 731100464, 951712244, 148416321, 227866761, 444460069, 256993530, 539320159, 903113869, 277008189, ( -1), 33176755, 134503751, 941285504, 261550542, 562355753, 164975842, 579874149, 813839649, 230101051, 84374289, 250859474, 355784412, ( -1), 508562746, 203019696, ( -1), ( -1), 899710536, 565087930, ( -1), ( -1), 618622139, ( -1), 55262421, 956768083, 328966820, 815403767, 56303094, 154607346, 336015551, ( -1), 336303333, 50606220, 853239890, 425240854, 27633323, ( -1), 984097443, ( -1), 786961299, ( -1), 395810208, 511151257, ( -1), ( -1), ( -1), 842862815, ( -1), ( -1), 396203715, ( -1), 382093886, ( -1), ( -1), 405349959, 427627086, 140533039, 93515971, 868605572, ( -1), 500336822, ( -1), 33725647, ( -1), 975339368, ( -1), 127040595, 54655975, 906680246, ( -1), ( -1), 142088261, 304706139, 637444872, ( -1), 426519642, 550982189, 87567495, ( -1), 873264064, 108309587, ( -1), 385677389, ( -1), ( -1), ( -1), 728665934, 522009562, 41215665, 590085048, ( -1), 83472664, 132237751, 888212085, ( -1), 883333010, 818425703, 958618378, 247672232, ( -1), ( -1), 748497266, 451497961, ( -1), 538200226, ( -1), 58728412, 867830924, 906736380, ( -1), 64439459, ( -1), 180414067, 707324003, 291391162, 67962540, ( -1), 505091987, 725309760, 755226180, 597824317, 109621541, 111282971, 932302315, 596030428, ( -1), ( -1), 640487767, 251011047, 273899921, ( -1), 376255924, 42356693, 687823492, 935170628, 800882976, ( -1), 25975320, 726774405, 157857861, 646198297, 919211208, 412516085, 487154706, ( -1), ( -1), 736721421, ( -1), ( -1), 42938628, 337425869, 888842992, 163600190, ( -1), 773677225, 193515843, 336738930, 445710050, 865317510, ( -1), 632709204, ( -1), 19701216, ( -1), 267735831, 744118318, ( -1), 393730484, 382000982, 573856278, 396442029, 893553821, 865274792, 76486207, 802148868, 999755914, 519289, ( -1), 838853677, 266822703, 751230125, ( -1), ( -1), 933089043, 188508718, 773645666, ( -1), 566353096, 464992381, 953528829, 932058230, 315045302, ( -1), 395361179, 521995363, ( -1), 479413901, 285100607, 199244402, 446866138, 480928523, 848843874, 791619424, 692524879, ( -1), 214267897, ( -1), ( -1), 281269338, 416874548, 71493097, 437970838, 470924696, 352640942, 934379345, 226465974, ( -1), 420286966, 112361305, 475885160, 174372979, 25065776, 919226997, 348494734, 408222359, 778491917, ( -1), 934649115, 965756395, 60759883, 172179458, 786154855, 229337395, 190099152, 390731054, 833579429, 995952058, ( -1), 4392845, 966900940, 388095372, 542513805, ( -1), 762859165, 428780189, 976800094, ( -1), 363745764, 477985487, ( -1), 755873442, ( -1), 180534544, 959502985, ( -1), 636730420, 399833198, 392894035, 631279135, 210155774, 718832307, 570397637, 317724563, 893849842, 816766615, ( -1), 581907193, 981259487, 481382516, ( -1), 947011007, 655585226, 223093291, 517926847, 766572452, 725324231, 480156832, 289163901, 150608898, ( -1), 863651279, 249931629, 706288618, 292917181, ( -1), 419615414, 581894534, 464067413, 388759614, ( -1), 174339803, 385761479, ( -1), ( -1), ( -1), ( -1), 898335874, ( -1), ( -1), 414315136, 380172777, 913824407, 590612072, ( -1), 544811847, 780100449, 482756175, ( -1), ( -1), ( -1), 867906075, ( -1), 721391883, 881518575, 440452692, 509107625, 368782049, 730209183, 607128330, 351800900, 172039643, 579657703, 802022547, 283972282, ( -1), ( -1), 664021886, 81209513, ( -1), 175666243, ( -1), ( -1), ( -1), 927909154, 602470698, 332463297, 876491441, 272293813, ( -1), 600675363, 414060769, 323904651, 26255485, 163486156, 424369678, 396101321, 835057246, ( -1), 817405192, 266605079, ( -1), 204691401, 446667345, 273252184, 867018789, 230020009, 785717611, 353362986, 164333163, 72978074, ( -1), ( -1), 682793106, ( -1), 990278410, 907164997, 49184535, 699061450, 63179838, ( -1), 852524779, 873871512, 117928172, ( -1), ( -1), 722064691, ( -1), 626378275, 604874172, 281921601, 463834469, 513169421, 839017959, 247490975, 846313253, 919379718, ( -1), 464486866, ( -1), 847099029, 937322903, 115388290, 819411236, 31239750, 2489706, ( -1), 932879154, 147183522, 332052634, 100793456, 94013130, ( -1), 720043002, 544205778, 495269127, 856608543, 8344056, 371105920, ( -1), 22087056, 661879256, ( -1), 176957818, 701105117, ( -1), ( -1), 473683014, 58177460, 416031065, ( -1), 702202479, 807365186, 218177087, 590244125, 186715318, ( -1), 903175952, 465806433, 567175302, 24826583, ( -1), 802987105, ( -1), 869846385, 397151190, 30225452, 318797468, ( -1), ( -1), 943237458, 344026153, ( -1), 327301708, 862234247, ( -1), 174568451, 121673099, 577699141, ( -1), 136145609, ( -1), 734456022, 199905929, 422432024, 271680722, 161935423, 6400494, 447535691, ( -1), 35341105, 589929938, ( -1), ( -1), 70114816, 385042582, 972555584, 391756575, ( -1), 732734384, 702668677, ( -1), 130480552, ( -1), 365166760, ( -1), 593318068, ( -1), 749366731, ( -1), 741555450, ( -1), 838317309, 54731700, ( -1), 666631791, 310127132, 345806987, 292224819, 229520927, 798258209, 183968118, 62768815, 519244786, 21943668, 525186516, ( -1), 149443513, 558630765, 537032510, 239715385, 513867086, 733791666, 900223923, ( -1), 204663517, ( -1), 142021926, 483315785, 662131082, 44572154, 165783282, ( -1), ( -1), ( -1), ( -1), 526631155, 802592772, 368245125, 537766311, 102274278, 824583014, ( -1), 863829868, 786835772, 113662136, 331536612, 694757996, 512580561, 938049755, 255327007, 748081398, 907781022, 225077599, ( -1), ( -1), 815636810, 727611355, 819452832, ( -1), ( -1), ( -1), 2358805, 474022647, 87012064, 236253767, 726090922, ( -1), 331139149, 195926537, 637388531, 817774260, ( -1), ( -1), 772181672, ( -1), ( -1), 437119549, 458670516, 331386927, 300830766, 594309940, 128546988, 853420903, ( -1), 523831917, ( -1), ( -1), 939463797, 894455512, ( -1), ( -1), 278986060, ( -1), 544845060, 380048488, 791050638, 385629758, 169577945, 489406435, ( -1), ( -1), 943689966, 795329640, 972222085, 431944743, ( -1), 334423735, 601504414, 629825253, ( -1), ( -1), 164111219, 648740408, 574992334, 318525925, 359857062, ( -1), 581686937, ( -1), 677260127, 15226151, ( -1), ( -1), 130604275, 366437590, 849880950, 145525512, 590221743, 577937595, ( -1), 713899738, 937022920, 537482753, ( -1), 703314382, 717627015, 580258954, ( -1), 502009051, ( -1), 618465527, 880520201, 244697171, 371098975, ( -1), 338209035, 807501335, 122657766, 444312743, 448398711, ( -1), ( -1), ( -1), 925612408, 765601532, 851276294, 23389959, ( -1), ( -1), ( -1), 869327273, 633054806, ( -1), 131369757, ( -1), ( -1), 543526238, 743250023, ( -1), ( -1), ( -1), ( -1), 494983103, 298252493, ( -1), 623662189, 391477882, 769616209, 395845825, 932371877, ( -1), ( -1), 724784442, 530213278, 192758094, 786101919, 40279106, 16763764, 690058997, 656558566, 297471644, 965453244, 413974349, ( -1), ( -1), 667784804, 868438975, 386821574, 547182278, 128898071, 939390155, 179384072, 848372363, 973524380, 362631974, 139853305, 531394657, ( -1), ( -1), 194639704, 796756860, ( -1), 338914451, 38537701, 503759184, 134968206, 193800925, ( -1), ( -1), 541115377, ( -1), 261999960, ( -1), 788064218, 118195360, 593400587, 21142797, 344436004, 269323401, 915738658, ( -1), 963868904, 540498873, ( -1), 221991790, ( -1), 829261353, ( -1), ( -1), ( -1), ( -1), 937720064, 387539118, 445661573, 203919449, 21289882, ( -1), ( -1), 794881844, ( -1), 35302795, 335335544, 10766173, 254300642, ( -1), ( -1), 383819360, ( -1), 730419928, 808650284, 651460528, 17323314, 964568067, 676361505, 985178160, 166140176, 364567879, 728021466, 404902837, ( -1), ( -1), 843960879, 14724299, 185696354, 819463868, ( -1), ( -1), 639262111, 75846176, 115082903, 886905489, ( -1), 564684765, 90482029, ( -1), 282264314, ( -1), 258812593, ( -1), 520859393, 366429542, ( -1), ( -1), ( -1), 735838058, 100871250, ( -1), 597496059, ( -1), 258804218, 688396306, 572414287, 48382151, ( -1), ( -1), ( -1), ( -1), 330491205, ( -1), 542300278, 966117020, ( -1), ( -1), 61186715, ( -1), 141191235, 780583946, 641875830, ( -1), 791018611, 197041602, ( -1), 228059885, 740231053, 18915776, ( -1), 123289307, 282832794, ( -1), ( -1), 615282343, ( -1), 207705886, ( -1), 400669726, ( -1), ( -1), ( -1), ( -1), ( -1), 984880033, ( -1), 491548854, 41199892, 231517378, 858368976, 641294510, 328990689, 964183101, 613403673, 494298467, ( -1), ( -1), 578908282, 504927836, 857962973, ( -1), 230820842, 950411001, ( -1), ( -1), 244941847, ( -1), 118117737, ( -1), ( -1), 765752878, ( -1), ( -1), ( -1), 218067596, 322290425, ( -1), 622508589, 760835998, 758607960, 137738647, 633437622, 735367328, ( -1), ( -1), 994844654, 588095542, 847164111, ( -1), 585979263, 225111005, 753738955, ( -1), 420719194, 203859193, ( -1), 753778482, 675717033, 21979966, ( -1), 876397057, 420475854, 507407601, 254848082, ( -1), 914286027, 122877779, 498951927, 521035338, 977369306, 36287999, ( -1), 425644239, 99713991, ( -1), ( -1), ( -1), 724575246, 740576417, 10309127, ( -1), 351136806, 560609372, 822617789, ( -1), 447416481, ( -1), 80483390, 792548716, 562851208, 565651410, 686543144, ( -1), 631978885, 691931754, ( -1), ( -1), ( -1), ( -1), 845329256, ( -1), 132481783, 214440469, 106727141, ( -1), 841386671, 989847382, 438240265, 151075366, 776283234, ( -1), ( -1), ( -1), ( -1), ( -1), 887310490, ( -1), 375957850, 794653413, 765266378, ( -1), 426353824, 141131685, 670613705, 771663241, 570116937, ( -1), 111070009, 486846319, ( -1), ( -1), 949070295, 954114277, 228590259, 109895439, 639852753, 226449456, ( -1), ( -1), 255159920, 952766493, 129779995, 778427084, ( -1), ( -1), 294836550, ( -1), 960027123, 968957470, 813041535, 344104214, ( -1), 976493437, 780943216, ( -1), 982244480, 478157969, 391280296, 228895336, 310043450, ( -1), ( -1), ( -1), 316468153, 248474770, ( -1), ( -1), 323535607, 111017962, 493535653, 61074537, ( -1), 906634074, ( -1), 187432815, ( -1), ( -1), ( -1), 518168387, ( -1), 224083477, 657518275, 385128319, 820520963, 750186532, 981415586, ( -1), ( -1), 176112782, 811882953, ( -1), 686289633, 189105954, 681002562, 664540050, 396162866, 557009760, 901919281, 625319410, ( -1), 163973325, 526495420, 564055948, ( -1), ( -1), 593051810, 936450987, 3464959, ( -1), 765908369, 628287825, 451626025, 340026668, ( -1), ( -1), 492237107, 633231221, 394130034, 869798510, 946347748, ( -1), ( -1), 444120734, 58872989, 862081469, 365675512, 618583993, 406128237, 598412211, 88201499, 73423883, ( -1), 695447690, ( -1), 110420978, ( -1), 70950057, ( -1), 782311155, ( -1), 346164754, 213272111, 217004747, 507362502, ( -1), 822875028, ( -1), ( -1), 216343817, ( -1), ( -1), 120564244, ( -1), ( -1), 373546096, 632246040, 245383968, 369922881, ( -1), 549392871, ( -1), 70426066, ( -1), 157773966, ( -1), ( -1), 444898874, 676490723, 706923389, 24505250, ( -1), 796895946, 284697862, 855487015, 947801297, 330846511, 988130561, 554466081, ( -1), ( -1), 892249757, 647182424, 314779380, 482493663, 850654719, ( -1), ( -1), ( -1), 639307857, 677291578, 203277301, ( -1), 83688721, ( -1), ( -1), ( -1), 985508477, ( -1), 610817198, 384511745, ( -1), 83038596, 874771613, 374423097, 9754025, ( -1), 983810393, 209100871, 68287601, ( -1), 381648655, ( -1), 7408188, 997680234, 764204020, 448188349, 987510672, 51125079, ( -1), 351189572, 993132583, 525720689, 368924242, 404676066, 859898619, 295617265, ( -1), 472575856, 155052874, 712900738, 873368518, 318639667, 551726027, 606024380, 316799893, ( -1), 621459271, 896592271, 699773408, 244775117, ( -1), ( -1), 667873866, ( -1), 256073504, 926450794, 494612181, 487995904, 79140393, 903152193, ( -1), 894572983, ( -1), 709728635, 815938895, 594428396, 179315229, 76725249, 482625333, 258137209, ( -1), 864491931, 997215104, 899339881, 869785796, 682644576, 932899618, ( -1), 662394684, ( -1), 898193142, 248425374, 769970121, ( -1), 771846999, 365348733, 613246425, 735374799, 795660267, ( -1), 661754551, 742176783, ( -1), 585356372, 978819622, 81309286, 450121479, ( -1), ( -1), 561188315, 303634930, ( -1), 162461626, 957682973, 149636989, 652477663, 47567838, 371440323, 827096421, 294021794, 141261451, ( -1), 181417953, ( -1), 281902913, 618727963, 657947654, ( -1), ( -1), 303995079, 268601782, 737772474, 163944018, 201364113, 162212783, 736013583, 91442947, 490121390, 588987599, 747178505, 252668518, 972390503, 408881087, ( -1), 708012672, 101851673, 970548277, 148673461, 719361156, 766986309, 634016239, ( -1), 347130142, 958169832, ( -1), 270221568, 689529858, 947562262, 42940482, ( -1), 635971719, 867768052, ( -1), 316496543, 500987453, 946108848, ( -1), 670991199, ( -1), 301120337, 286128081, ( -1), 82026070, ( -1), ( -1), 805992865, 394968184, 181868527, 27382073, 756148263, 810102402, 73253021, ( -1), 508753701, 348236532, 365092959, 967294498, ( -1), ( -1), 118069550, 85249543, ( -1), ( -1), ( -1), ( -1), 714182267, 24439795, ( -1), 766017207, ( -1), 535969952, ( -1), 302391737, ( -1), 70817872, ( -1), 998784058, 449976013, 645340879, ( -1), 814990448, ( -1), 48568094, 544104446, 765747942, 927679074, 680762642, 884685250, ( -1), ( -1), 897489614, 396404126, ( -1), 65662685, 966330330, ( -1), 179419635, 104262080, 730112542, 300145992, 814393211, ( -1), ( -1), 262130719, 983737636, 594523941, 416732077, 563719882, 955512365, 431335619, 907216290, ( -1), ( -1), 770531952, 797359529, 517916839, 383482661, ( -1), ( -1), ( -1), 485379585, 746877779, 386988385, 55654058, 224815114, 386291184, 691230610, 710967056, 686477515, ( -1), 593958526, 645950238, ( -1), 220467912, 777679519, 815928527, ( -1), 385088978, 685319217, 438659452, 948297472, 609452879, 684033469, 52233313, ( -1), 347220326, ( -1), ( -1), 8756256, 792161468, 441413635, ( -1), 731170233, 657804855, 114621573, 22177124, 772637644, 509128520, 894106189, 945588070, 694630868, ( -1), ( -1), 44875670, 392902173, 628533305, ( -1), 429086937, 906703348, 684989668, ( -1), 938488234, 280055395, ( -1), 611787022, 946529584, ( -1), 265327648, ( -1), 553082146, 192630301, 950501571, 260610706, 865281177, 551640051, 558260645, ( -1), 983356381, 543631758, 882005584, 75483341, 670672684, 587914048, 725467613, 635279497, 800022703, 601030914, ( -1), ( -1), 384087872, 84259446, ( -1), 412843907, 597274869, 812591227, 474106615, 734128469, 110014106, 580657634, ( -1), 250796804, 228387275, 218739237, 677049190, ( -1), ( -1), 971309170, ( -1), 941658184, 874745843, 948442338, ( -1), ( -1), 643196769, 825767997, ( -1), 725063439, 833943645, ( -1), 594099390, 944933599, 277128135, ( -1), 312748847, ( -1), 850695019, 308487918, 529054533, 815650696, 274034982, ( -1), 69794745, 597218630, 943974096, 654575023, ( -1), 930110170, 899070320, 882272410, 546484602, 74719915, ( -1), 860173939, 371055120, 284886922, 949181932, 726155452, 391362229, ( -1), 194204804, 131091817, 232596729, 819476036, 555681406, 551810383, ( -1), ( -1), 429011467, 805248783, 790525929, 672438850, 868553925, ( -1), 553939512, 884963592, 696772671, ( -1), 377601965, 466615910, ( -1), ( -1), 975812533, 269673460, 751948952, ( -1), 44678453, 749271389, 583978859, ( -1), 469750885, 68154216, ( -1), ( -1), ( -1), 367164004, ( -1), ( -1), 522419940, ( -1), 395389006, 562774520, 37234344, ( -1), 104993730, 62741282, ( -1), ( -1), 920995120, 914522746, ( -1), ( -1), 169774345, 129263813, 232324645, 823203606, 799012938, 238802268, 421934978, 241971969, 12926593, ( -1), ( -1), 827194238, 335165019, 199510527, 161319024, ( -1), 886166796, 285600253, 724016705, 540771995, 621517394, 659453130, 125788515, ( -1), 657605054, 270614322, 436145848, 231293496, 858600268, 909418699, 969555572, ( -1), ( -1), 369871793, 187648919, 557818308, 781396815, ( -1), 715433272, 102758406, ( -1), ( -1), 649028700, 328950029, 493357744, 945195029, ( -1), 121168895, ( -1), 951479532, ( -1), 437382512, 347634772, ( -1), 604905966, ( -1), 33015662, 494666647, 171801631, 291319813, 277240768, 273568876, 8301727, 882986561, ( -1), ( -1), 995747947, 974092096, 308457870, 658505012, 940890575, ( -1), 203471942, 273191681, 356909953, ( -1), 981052559, 980773618, 936461367, 544094848, 483289811, ( -1), 427159801, ( -1), 818611420, ( -1), 406839944, ( -1), 59372303, 364555377, ( -1), 777859298, 152144194, 416242782, 113998533, ( -1), ( -1), 682202331, 456996154, 497624903, ( -1), ( -1), 652793407, 844000669, 647558594, 841505176, 258978163, ( -1), 497583221, 265965084, 497202126, ( -1), ( -1), 722151184, 244807564, 402463733, ( -1), ( -1), 447990054, ( -1), 92600948, 469042832, 986186881, 239982964, 453351103, 400476304, 182943499, 106892509, ( -1), 476310525, 163007785, 667268360, ( -1), 90011868, 59836994, 165188810, 190960345, ( -1), 818944389, ( -1), ( -1), 789227055, 943037169, 653893687, ( -1), 335131510, 419360404, 161898984, 980595239, ( -1), ( -1), 308201936, 914848664, ( -1), 940530909, 270853386, 235662539, 260866264, ( -1), 560019089, 422173707, 194570228, 532206012, 586377758, 601472104, 975587602, 500899896, 387701134, 403068673, 48504894, 432844792, 331695910, ( -1), ( -1), 531812990, ( -1), 589664715, ( -1), 801240353, 557881398, 981942110, 262068390, ( -1), 30594287, ( -1), 92951962, 504755277, ( -1), 108794670, 623515008, ( -1), 697353210, 512446426, 828941563, 447032809, 519867339, 880281036, ( -1), 936910491, 743698132, ( -1), ( -1), 582888188, 148044776, ( -1), 318231033, ( -1), 331966124, ( -1), ( -1), 387396690, 691480586, ( -1), 243079404, 383020505, 132925465, 649074000, ( -1), 802112197, 153926784, 905053122, 520609638, 858533158, 553383476, 228924397, ( -1), 264918406, 103429019, 450806724, 223736139, 580049381, 131798622, 975873891, 161954161, 846969700, 604881366, ( -1), ( -1), 882463670, 959264287, ( -1), 559952295, 287344588, 145156250, 258658844, ( -1), 433845534, ( -1), ( -1), 78666622, 641571179, 702859236, 115302725, 862026388, 177648631, ( -1), 799817385, 22911741, 940477828, 904750381, 747298983, 896354617, ( -1), 930431101, ( -1), 759663688, ( -1), ( -1), 801608300, 258325560, 677720825, 615938387, ( -1), 987540745, 467500726, ( -1), ( -1), 642166748, 647035864, 23705838, ( -1), 354905744, ( -1), 115432580, 179363164, 8607376, ( -1), 217281596, 509810456, ( -1), 716615171, 196678402, ( -1), 43270155, ( -1), 181292700, 306866060, 23117133, 761036267, 885606707, 137881604, 438247938, 326865748, 715685901, 795004931, 712105964, 787129701, 486052247, 115091248, ( -1), 812753962, 401155224, 631068088, 284811563, ( -1), 732628480, 126442963, 244650877, ( -1), ( -1), ( -1), ( -1), ( -1), 915474100, 714017866, 153689416, 375109503, 104512139, 525514392, 622705843, 926880470, ( -1), ( -1), ( -1), ( -1), ( -1), 747002991, 543651658, 147639628, 165273933, 82885192, 216524302, 637684729, 49600750, ( -1), 864991593, 284734833, 596183909, ( -1), 988909972, 194194071, ( -1), 204776585, ( -1), 250167178, 140707773, 167227738, 635505284, 814074315, ( -1), 850454572, 923319821, 934829353, ( -1), 636586683, 612043800, 227084824, 988092267, ( -1), 235512799, 397489208, 723613071, 959155678, ( -1), 481857798, 273040128, 696197300, ( -1), 753555611, 294078872, 305010660, 631520054, 993313048, 604136123, ( -1), 720470841, 987175897, 670610742, ( -1), 289657656, ( -1), 720240632, 112295014, ( -1), ( -1), 344767913, ( -1), 217571776, 448580968, 797065422, 770324041, 53591528, ( -1), 612753086, 807859707, ( -1), ( -1), 380892740, ( -1), ( -1), ( -1), ( -1), 499398974, 711972355, 859293188, 746300281, 284275946, 306370550, 562210271, 558603468, 887274944, 915246048, 77401957, 120028385, 879104503, 729208820, 847120574, 377386689, 563102564, 864333552, ( -1), 81525421, 293481798, 525258507, 934907059, 290975667, 140650330, ( -1), 898759930, 39803775, ( -1), 245643985, 88029478, 356955261, 28112471, ( -1), 656221919, 133200959, ( -1), 632028027, ( -1), 467524441, 427411418, 191854567, ( -1), 272274859, 841053180, 472252404, 481143696, ( -1), 728003465, ( -1), 203435549, ( -1), 327637156, ( -1), 375981747, 591077796, 471666068, 774704867, 588925589, ( -1), 769830894, ( -1), 394469267, 589876494, ( -1), ( -1), 823972866, ( -1), 37414583, ( -1), 196683656, 676561030, ( -1), 879652702, 713837391, ( -1), 459012570, ( -1), 461808719, 617846183, 305546944, 975907973, 146412635, 796296645, 34563270, ( -1), 846634627, 780100504, ( -1), 523575041, 612696520, 819090934, 827775010, 959094190, 909088416, 589079868, ( -1), 485161473, 496492767, 305761286, ( -1), 235843175, 699146065, ( -1), 243159381, ( -1), 200610597, 102521567, ( -1), 575750760, 119251703, 7844109, 781181917, 751509370, 175542029, ( -1), 355451427, ( -1), 966348199, ( -1), 150602789, 685757237, 862125028, 352901353, ( -1), 997598820, ( -1), ( -1), ( -1), 278006700, 456990495, 190103875, 832656452, ( -1), ( -1), 567578983, 566696584, 240577290, 263478312, 218355122, 188818162, 674397709, 734808007, 866948114, 888251467, 699174785, 200276629, 173429946, 606548688, 980281662, 906292236, 904298284, ( -1), ( -1), 928675928, 600062213, 765761549, 603618479, ( -1), 331546032, ( -1), 570347929, 736942009, 421858083, 437697058, 726550975, 321957351, 712206073, 680296877, 467121734, 215778915, 557499438, 551927300, ( -1), 123608667, 91362531, 852016226, 498984309, ( -1), 804435784, 542806690, 953416343, 15211029, 912300648, 171204077, 412327517, ( -1), ( -1), 552148556, ( -1), ( -1), 514574302, 169374918, 251791703, 875024565, 861385614, 985415391, ( -1), 351388918, ( -1), 570793992, 479934991, 425161508, ( -1), 695123593, 935178640, ( -1), 776765245, 659233948, 188612306, 98520512, 607092182, 622197737, 148368474, 137667883, ( -1), ( -1), 843475412, ( -1), 218393382, ( -1), ( -1), 291079276, 865107650, ( -1), ( -1), 827312837, 206632189, 990832702, 9923085, 88792721, 375947539, ( -1), ( -1), 319067649, 55781023, 650144651, 382664792, 562408511, ( -1), 287463494, ( -1), 79944344, 68466410, 374115495, 888205773, 781120947, 258200231, ( -1), ( -1), 148110696, ( -1), 978795716, ( -1), ( -1), 889989108, 907030944, ( -1), ( -1), 241750428, 96584471, 309959442, ( -1), 480749778, 508138132, 606926050, 133942187, 500623443, ( -1), ( -1), 905900466, ( -1), 63114280, 521111213, 560943951, 39518354, 555938744, 989046597, ( -1), 156432929, ( -1), 404537486, ( -1), ( -1), 70430280, 820753900, ( -1), 259208631, 890565662, 624516180, 787190953, ( -1), 444225797, 880729729, 13029858, 915099177, 246094454, 923796267, ( -1), 13556621, ( -1), 702192080, 595356233, ( -1), 574059699, 164351245, 654880543, 313232638, 949593549, 673401869, ( -1), ( -1), ( -1), 83205769, 700055148, 154763381, ( -1), ( -1), 307788998, 438925860, 900883780, 335478185, 549543947, ( -1), 625839750, ( -1), 545998168, 556867943, 543823375, 999157041, ( -1), 587940552, ( -1), 137932090, 686920962, 293842412, 72795223, ( -1), 518688358, 54663629, ( -1), 286458790, 321990236, 125164848, 384242859, ( -1), 959516749, ( -1), 506298092, 28344203, ( -1), ( -1), 751262464, ( -1), 709086398, 430539145, ( -1), 972628506, 73925800, 272463180, 136558303, 73891666, ( -1), 54618761, 757245421, 259245950, 272779671, ( -1), 944742305, 558027819, ( -1), 70267353, 179307045, 337287591, ( -1), 474905706, 605476051, 769508513, ( -1), 232354320, ( -1), ( -1), 139478749, 512449536, ( -1), 861448057, 402381360, 785983576, 502567606, 651110894, ( -1), 436139393, 810077691, 792643095, 61765448, 170102392, ( -1), ( -1), 394306807, 293032227, 617073219, 79676040, ( -1), 898704419, 223694673, 801147013, 745425701, 956614298, 962106437, ( -1), 685717524, 90318744, 195069392, 6488102, ( -1), ( -1), 381274856, 623540579, ( -1), 960485609, 574787488, 253903714, ( -1), 391327429, 778949163, 877031857, 667541239, 921071078, ( -1), ( -1), 355976047, 570180104, 991043368, 205030755, ( -1), ( -1), 204302791, 659263527, ( -1), 695231972, 649203523, 150256255, ( -1), ( -1), 498146622, 751969622, 882419696, 526681761, 481111866, 240717197, ( -1), 72289920, 527228620, 992033079, 526056726, 286943335, 801287717, ( -1), 787646647, ( -1), 936915084, ( -1), 15172857, 527117413, 690445617, ( -1), 926227946, 408233904, 677469843, 525540949, ( -1), 870779796, ( -1), 453031910, 218332637, ( -1), ( -1), 259283253, 382776781, 8093514, 328518973, 867364245, ( -1), 599182156, ( -1), 382220456, 838711997, 182462978, 116804512, 652368957, 311462495, ( -1), 629509543, ( -1), ( -1), 592162598, ( -1), 616537894, 757087196, ( -1), 464329438, ( -1), 268346350, ( -1), 554141689, 409164892, ( -1), ( -1), ( -1), 638872728, 272611095, ( -1), ( -1), 40443096, 88177565, ( -1), 428774561, 788564483, 542365803, 117234714, 394531338, 298520304, ( -1), 255884601, ( -1), ( -1), 973843581, 292048736, ( -1), 997135472, ( -1), ( -1), 925984495, 647709475, ( -1), ( -1), ( -1), 833924800, 328665974, 782181020, 244124128, 479924850, 399694211, ( -1), 885939376, 420454492, ( -1), 97848367, 402181331, 788463062, 434803396, ( -1), 300559040, 148422682, ( -1), 607938760, 472531846, 520320904, ( -1), 783427526, 255737941, ( -1), 234457873, 809822931, ( -1), 735226770, 275156485, 664110299, 267395877, 981089513, 573687117, ( -1), 910931443, ( -1), 693056771, 463472846, ( -1), ( -1), ( -1), 46274435, 564308281, 758277180, 58392135, ( -1), 74194419, 922238754, ( -1), ( -1), ( -1), 175025802, 994987195, 367847665, 230350633, 608009493, ( -1), 419922909, ( -1), 199080124, ( -1), 971566870, ( -1), 126235987, 463934807, 889123871, 462526403, 499478092, ( -1), ( -1), 475202898, 502217199, 510394782, 776562475, 374444899, 42680668, 670883392, 290528773, 450288909, 370351647, 751040984, ( -1), ( -1), 797475813, 996403893, ( -1), ( -1), 255604375, 513839458, 550235614, 506228656, 636021469, ( -1), 749129763, 520167129, ( -1), 710233859, 594923679, 67874975, 904737521, 501807064, 954155898, 725959659, ( -1), 41220954, 202515278, ( -1), 991870571, 682901020, 273627415, 399590970, 128683135, 182293461, 511729733, 194968464, 156140521, ( -1), ( -1), 201806180, ( -1), 680567923, ( -1), 973575520, ( -1), 933873045, 56048372, 487122697, 590432327, 954551228, 714320655, 769571093, 431703856, 488816592, 764416102, ( -1), 630043703, 876145301, 494938028, 13516961, ( -1), ( -1), 944987782, 560395360, ( -1), 42309940, 3026341, 430356611, ( -1), ( -1), 785486920, ( -1), 418363135, 929418159, 413684281, 637931351, 921183162, ( -1), 406115155, 982061933, 660364286, 543423606, ( -1), ( -1), 44840816, 157965361, 801250380, 151322184, 295549909, 230013069, 323061935, 418427804, 792807097, 118759697, 635692735, ( -1), 164975188, 314549514, 999719636, ( -1), 912695429, 331125944, 924544617, ( -1), 180572944, ( -1), 641468353, 468148163, ( -1), 695837822, ( -1), 864580914, 599714422, ( -1), ( -1), 205923429, 690419337, 467203562, 304620603, 570386546, 388431180, 9753249, ( -1), ( -1), 285600796, 617873082, ( -1), ( -1), 886525205, ( -1), ( -1), 237570663, 957702217, ( -1), 615203494, 523464726, 464516472, 553230607, ( -1), 473123216, ( -1), 219565010, 875380440, ( -1), 122636069, 498966817, ( -1), 607603230, ( -1), 167314187, ( -1), 114489695, 625154837, 983492378, 951185067, 334158165, ( -1), 404833763, 95694219, ( -1), 373908906, 194082217, 42964577, ( -1), 49589056, 758853253, 444751645, ( -1), 264874113, ( -1), 178979685, 363508119, 342573777, 963978324, 999247829, 663211768, 769356495, 924458661, 498376108, ( -1), 639164321, 262316050, 266408795, ( -1), 379957601, ( -1), 205713993, 5665103, 438027788, 604898975, 960444688, 859253207, ( -1), 425486037, 312471645, 948574408, 689667899, ( -1), 720865234, 195914055, 475061244, ( -1), ( -1), ( -1), 532905090, 323544900, 432120169, ( -1), 912548828, 631106626, 463097775, 979056937, 146393669, 680933012, 150163401, ( -1), ( -1), ( -1), 935538421, 481601957, 130411644, ( -1), 747379366, 381267869, 440794765, 284020353, 3375245, 550276229, 265669755, ( -1), 834762870, 409073495, ( -1), 791841807, 232541258, 70612856, ( -1), 492742538, ( -1), 979794154, 69379738, 946989864, ( -1), 665114170, 622068460, 64013574, 333978167, ( -1), 449303074, 262767877, 807379129, 236959072, 985299145, 279315595, ( -1), ( -1), 716867051, 820052475, ( -1), 776767521, 822133015, 898506843, 799509720, 384877760, 374298228, 444141091, ( -1), 776912275, ( -1), 187848168, 197548066, 962962752, 523503471, ( -1), 744214000, 547932895, 184883098, ( -1), 573461637, 85760832, 821130066, ( -1), 60956601, 349377502, 259252986, 780431281, 8316317, 880639113, 441081927, 982917044, ( -1), ( -1), 191586184, ( -1), 48747634, 890688603, 212582082, 573679662, 319720662, 555810823, 740072146, 953242368, 856744926, ( -1), 554622015, 607017015, 534291140, 861223222, 484060453, ( -1), 401095404, 254527059, 745542053, 440940626, 593338094, 462199296, 565966298, 298938268, 9385551, 785426320, ( -1), 612914989, 971337947, ( -1), 566226798, 297703299, ( -1), ( -1), 183769290, 734900724, 137442093, ( -1), 790675840, 713664140, ( -1), ( -1), 59617448, 538348453, 379945345, 615231072, ( -1), 850803837, 535013404, ( -1), ( -1), 661240529, 424730460, 477524431, 83557910, ( -1), 862761316, ( -1), 41897112, 62466087, 521325581, 955990468, 38281462, 540870142, ( -1), 937548364, 890654598, 885030841, 893948903, 718245698, ( -1), ( -1), 167374718, 932514807, ( -1), ( -1), 245600649, ( -1), ( -1), 215215273, 607572226, 314753527, 180637210, 579008599, 380753270, ( -1), 747427858, ( -1), 622391120, 935494638, 359251140, 688235663, 986571505, 831319292, 726210799, ( -1), 502094887, 66161829, 139399548, ( -1), 722096138, ( -1), 98367953, ( -1), 495120986, ( -1), 895368711, 827271652, 120581835, 302665191, ( -1), 124466025, 803028870, 768100569, 560866748, 886109982, ( -1), 665685753, 152115854, 503547499, 185316551, 200588037, 983534099, ( -1), 808641788, 313068197, 555087408, 731527464, 162125784, 489376710, 207895796, 806550885, 840913288, 101865198, ( -1), 640371086, 866273584, ( -1), 262148307, ( -1), 232619302, 742725871, ( -1), 888134945, 637450941, 121450798, ( -1), ( -1), 129763656, 600536120, 140567267, ( -1), 370721316, 890817471, 771429524, 690909820, 159774866, 895357229, 64757654, 667764033, ( -1), 979762865, 794901051, 704039731, 283628897, ( -1), ( -1), ( -1), 442537964, ( -1), 356186460, ( -1), 527582218, ( -1), ( -1), ( -1), 329872737, ( -1), ( -1), 221223916, 596904086, 1652482, 887202382, 584857001, ( -1), 906337344, 730350414, 782234506, 820821984, ( -1), ( -1), ( -1), 642330907, ( -1), 43246070, ( -1), 392280514, 820499086, 124660329, 212430208, 615451066, 670551627, 333277680, 709747591, ( -1), 214714441, ( -1), 163447872, 701205482, ( -1), 885413481, 373822064, 282517331, 761119233, 175732981, ( -1), ( -1), 195808606, 759467152, 941695420, ( -1), 148659716, 394655464, ( -1), 421779631, 745490215, 801102659, 76610604, 457503093, ( -1), ( -1), 259296232, 5748773, 949971873, 890592783, ( -1), ( -1), 785494783, 386697992, 536944154, 817958164, 9800511, 50738097, 164049364, 670762301, 345048463, 408044655, 30087049, 718813951, 683103060, 982080550, ( -1), ( -1), 280089806, 235264468, 766307875, 287216881, 650887092, 824035716, 448322706, ( -1), 279268355, 95342163, 840025098, 594789585, ( -1), 870098652, 180852724, 747880745, 654300559, ( -1), 243185584, ( -1), 728643845, ( -1), ( -1), 64720582, 381491611, 610107313, ( -1), ( -1), 457245354, ( -1), ( -1), ( -1), ( -1), 498337397, 486579755, 468527644, ( -1), 28582277, 20172246, ( -1), 125536932, ( -1), 444291936, ( -1), ( -1), 784785545, 943445034, 424148456, 494916017, ( -1), ( -1), ( -1), 438544864, 122642139, 917403763, 434690671, 201125763, ( -1), 344325745, 520881421, 492449282, 867047351, 677993271, 102277540, ( -1), 948900439, 28616635, ( -1), 335983254, 927394352, ( -1), 440237315, ( -1), 663197692, 706806609, 406807371, 761655054, ( -1), ( -1), 574839494, ( -1), 334809138, ( -1), 901141339, 717252258, ( -1), 504114176, ( -1), 878938628, 477721191, 549113277, 623452655, 167041512, 999874220, 363613326, 787808567, 122200642, 850651990, ( -1), 85222593, ( -1), 886640093, ( -1), 653716834, 416406533, 973030680, 158389358, 833310725, 154655232, 278265199, ( -1), 508784600, 320107044, 423509696, 458898555, 52418830, 188179956, ( -1), 586178522, 419699186, ( -1), ( -1), 8180139, 93741485, ( -1), ( -1), 896614861, 77678740, ( -1), 728414248, ( -1), ( -1), ( -1), ( -1), 670148896, 351689971, ( -1), 56584233, 902803074, 338434994, 210546970, 15041627, 507374556, 718093822, ( -1), ( -1), ( -1), 735201523, 117268240, 272577157, 863195346, 425462535, 9824072, 421727365, 374743260, 258627753, 92651841, ( -1), 466721561, 987621563, 399344472, 22761549, 586492607, 948500649, ( -1), 555163671, 456550576, 66204336, 188318851, 373579134, ( -1), ( -1), ( -1), ( -1), 626568937, 608374787, ( -1), 678412727, 102424695, 884765850, ( -1), 529847265, 700512585, 676077926, 786812645, 411136846, 57442331, ( -1), 820846080, 690441121, 362857594, 549640979, 948807375, 520390277, ( -1), ( -1), 924272039, 731770260, ( -1), 331236634, ( -1), 989167711, 191255226, 907230490, 287009852, 303722517, 463362183, 851571877, 566013122, 22384208, 410185312, 30115079, 414105010, 496057516, 997080827, ( -1), 932748325, 881106063, 548986092, 304065841, 939545734, 212781758, 49873770, ( -1), 473471228, ( -1), ( -1), ( -1), 877529475, 176962209, ( -1), 988164862, 292165029, 688872513, 6673313, ( -1), 846341086, ( -1), 429240054, 727040216, 89743838, 647838575, 367912786, 387609575, 822695179, 996584411, ( -1), 856000261, ( -1), ( -1), 548189658, 174344979, 228391704, 437660341, 663398258, 874964588, ( -1), 187118626, 228747682, 680795719, 448898126, 683911392, 917797594, 516565294, 350474924, 800424579, 653804175, 96697379, ( -1), 555988482, 735265924, 705511279, ( -1), 37965324, 568149391, ( -1), ( -1), 267784838, 470568014, 903797482, 752095001, ( -1), ( -1), 409610375, 637525514, ( -1), 593680803, 434139685, ( -1), ( -1), 176484576, 3045850, 929130454, 697378615, 153329558, 13517479, ( -1), ( -1), ( -1), ( -1), ( -1), 13483208, 45480655, 401865945, 220414913, 974622023, 728965115, ( -1), 915196669, ( -1), ( -1), 591749386, 906900431, ( -1), 52738949, 98595377, ( -1), 892043202, ( -1), ( -1), 690175681, ( -1), ( -1), 118428464, ( -1), ( -1), 359529094, 531091986, 335334796, ( -1), 237118106, 101252549, 513560283, 836491342, 993665310, 504418798, 279771208, 545536335, ( -1), 844658128, 47594639, 286859706, 90662751, ( -1), 964579132, 407266788, 122064353, ( -1), 878048699, 160488806, 787196898, 281595894, 953833408, 456405991, ( -1), ( -1), 781681779, 281102291, ( -1), ( -1), 512373734, 826344922, 374850609, ( -1), 494443850, 715714038, 948068100, 235766028, ( -1), 708236085, ( -1), 126182442, 325990491, 550864473, 652160962, 824052236, 572605273, 796146149, 410643663, 731861776, 649534584, 405243855, ( -1), 998494264, 708846857, 452293089, 398715326, ( -1), 607083324, 450151623, ( -1), 921420152, 307618206, ( -1), ( -1), 247619836, 125309425, 627521873, 268329833, 834915945, 992784727, 251363024, 785474345, 413158247, 147503378, 823214624, 564001926, 130979384, 976341757, 472065065, 616561921, 781062652, 269512575, 912450842, 676483129, 274391970, 756618332, 582741300, 777727293, 191689361, ( -1), 467956468, ( -1), ( -1), 119245096, 66607434, 618026945, 393062350, 465266026, ( -1), 703810878, 553359290, 810752255, 19992199, ( -1), 742298406, ( -1), 692944751, 943188488, ( -1), ( -1), 25890744, 485642230, 403342694, 24970266, ( -1), ( -1), 464940080, ( -1), 464706414, ( -1), ( -1), 128160911, 819315652, ( -1), 968705708, 308682043, 48638009, ( -1), ( -1), 239288331, 8788730, 156228655, 278799262, 572571083, ( -1), 669701190, 746536354, ( -1), ( -1), 833382156, 489062078, 689070039, 369928947, 162174187, 790301487, ( -1), ( -1), 71700791, 405391220, 594546813, ( -1), ( -1), ( -1), 155223712, 517281159, ( -1), 797072805, ( -1), 456855294, 672493534, 332303739, 209400458, 774863488, ( -1), 679604391, 402858522, 413290209, ( -1), ( -1), 208379255, 143449393, 193173720, ( -1), 866307319, 724293637, ( -1), 349811694, 51384538, 532457160, 986785274, 871897714, ( -1), ( -1), ( -1), ( -1), 834496991, ( -1), 610681640, 352590235, 92234569, 654312001, 43085127, ( -1), 428524254, 209689558, 742266047, 167454156, 640742465, 791149732, ( -1), 931542936, 232210420, ( -1), 887146209, 189045221, ( -1), 767652074, ( -1), 664608748, 97486494, 552770360, 679026270, 66359425, 425234538, 384221402, 668998025, 819054343, 552747936, 561991464, ( -1), ( -1), 896790309, ( -1), ( -1), 764425331, 17984404, 293036102, 620619939, ( -1), 245050686, 205323685, 307239088, 872374283, 134206225, 95523999, 599814991, 907166350, 37453777, ( -1), ( -1), ( -1), 438704580, 313203241, 906156644, ( -1), 331684790, ( -1), 87955728, 860238984, 780757434, ( -1), ( -1), 367660312, 375606997, 841744011, 642723208, ( -1), 730107472, ( -1), 184657132, 954789489, ( -1), 204934465, 864023563, 146488897, ( -1), 680704400, 573694495, 612641681, ( -1), ( -1), ( -1), 466198678, ( -1), 972919912, 209800123, 359744758, 330736301, 508845653, 658452141, 307149911, ( -1), 147592171, 774019333, ( -1), ( -1), 73391026, 362207887, ( -1), 71715065, 423494784, ( -1), 432011975, 246554629, ( -1), 454019789, 170966047, ( -1), 491013611, 776500058, 455002497, 515234739, 666076709, 541527740, 250035513, 471637541, ( -1), 295067829, 987215759, 601600297, 346770683, 104335493, ( -1), ( -1), 732253306, 168308930, 887464737, 439294466, 955480659, 997021246, 16531311, 15628782, 211466444, ( -1), 22027973, 328444037, 689895355, 12332570, 349896686, ( -1), 99000862, 970434022, ( -1), 640906382, ( -1), ( -1), ( -1), 245895542, ( -1), 717759701, 827231355, ( -1), ( -1), ( -1), ( -1), 79857172, 157071396, 680204656, 775729980, 188741879, 276625881, 607890858, 464131490, ( -1), ( -1), 737319057, ( -1), 524502270, 750116576, ( -1), 257318414, ( -1), 562411410, 419299861, ( -1), 509393919, 162838796, ( -1), 31158726, ( -1), ( -1), 862840583, 641166888, ( -1), 690087388, 825379856, 870924737, 531921603, 664950629, 949229668, ( -1), 395720188, 720768930, ( -1), 760918955, ( -1), 576116452, 69336165, ( -1), 839040343, ( -1), ( -1), ( -1), 85879857, ( -1), 982243642, 883159049, 658080024, 80956544, ( -1), 450425460, ( -1), ( -1), 708214856, ( -1), 97923090, 521465179, ( -1), ( -1), ( -1), 239857205, 816741900, 170363288, 538936790, 614803474, 993702669, 340665827, 211535784, 595417890, ( -1), ( -1), 853569199, 27633700, 592981188, ( -1), 871187805, 641537931, 808449535, 914244828, 280690440, ( -1), 325429065, 885068718, 687359255, ( -1), ( -1), ( -1), ( -1), 440027765, ( -1), 954736931, ( -1), 605463582, 72535639, 451715562, 267300081, ( -1), 899926456, 522337337, 931105534, 408422070, 288121702, 635602644, 386723548, 787804132, 675718200, ( -1), 312747260, 489872863, 19329725, 269781774, 138554011, 162555592, ( -1), ( -1), 52583370, 765993958, 374283337, 26067800, 87775109, 211614798, ( -1), ( -1), 7877208, 771260046, ( -1), 218331656, 458310306, 335677337, 440949531, 270925257, 269123870, ( -1), ( -1), 1451025, 444322945, 788401671, 665055816, ( -1), ( -1), ( -1), ( -1), ( -1), 787734628, ( -1), ( -1), 560078384, 422377275, 700676847, 866078461, 293327931, 30714972, ( -1), 399863202, ( -1), 197345295, 962221122, 649171918, 833502930, 904934429, ( -1), 852169045, 986740668, 929330317, 560254742, 836091036, 451251833, 678082271, ( -1), 590201742, 352951223, 631663235, 633324963, 984729718, ( -1), 576585046, ( -1), 704675608, 752187811, 401662503, ( -1), 746739963, 634753893, ( -1), 429007098, 689035707, 218839554, ( -1), 757449279, 356325395, ( -1), 750836348, 83071644, 779937830, 718590934, ( -1), 384738427, ( -1), 717861956, ( -1), 59154683, 913342439, 659172171, ( -1), 181333436, ( -1), ( -1), 865922102, 827279124, ( -1), 474646138, 781532796, ( -1), 330738309, ( -1), 529463130, 149890542, 106754927, ( -1), 237403593, ( -1), ( -1), 494741957, ( -1), 347422359, 124747090, 957075670, 935036234, ( -1), 445847524, 646631099, ( -1), 933320945, 919219447, 314796316, ( -1), ( -1), 296595597, 338056620, 773515332, 138429177, 719315430, 482624596, 744313962, 523424315, 538913080, 473391684, 968540378, 571345367, 672297099, 107297851, 458121540, ( -1), 181576769, ( -1), 510066033, 333433309, 794911264, 67450319, 70119186, ( -1), ( -1), ( -1), 681816831, 202397652, 918413102, 166144641, 127096545, 160095972, 415381198, ( -1), 555683269, 911875885, 571371590, 12292786, 808454941, ( -1), ( -1), 900649581, ( -1), 814546433, 423040122, 933008630, 941806647, ( -1), 161346864, 453674242, ( -1), 783184487, 487925342, ( -1), ( -1), ( -1), 171950960, 316959102, 31120473, 65352673, 379693602, 956809993, ( -1), ( -1), 377838258, ( -1), 562639780, 882985684, ( -1), ( -1), 145540147, ( -1), ( -1), 917972452, 792221576, 751906565, 304691236, 799653564, 317774641, 705958760, 888114348, 766946084, ( -1), 556508634, 294038053, 629975645, 87309974, 647501178, 843092312, ( -1), 43863648, 532972183, 46455015, 478931211, 473503352, 780705437, 629147618, 920577719, ( -1), 187744495, 502895071, 902739658, 717966539, ( -1), ( -1), ( -1), ( -1), 871459278, 207323112, 180962979, 673935162, ( -1), ( -1), ( -1), 170989774, 852574141, 334219926, 6459636, 668882382, 95930918, 209067663, ( -1), 175420310, ( -1), 854712868, 397917505, ( -1), 296579142, 509747324, 749609871, 707085649, 307396254, 97960946, ( -1), 961439727, 919382829, 290113987, 16462030, 343470469, ( -1), 771108225, 842242666, 461911134, 442333145, ( -1), 390851031, 898001052, ( -1), 561837170, 278897237, ( -1), 640352766, 312284284, 652579449, 299784995, 424167017, 849811137, ( -1), 990468109, 608391832, 425370258, 323287157, 671976578, ( -1), 30358031, ( -1), 591278745, 80771312, ( -1), 959113011, 322733563, ( -1), ( -1), ( -1), 89737611, 145973213, ( -1), 993670634, ( -1), 251524111, 806339759, 649718719, 160684194, ( -1), 620188304, 570882133, 565604453, ( -1), ( -1), ( -1), 523846113, 38028945, 845800054, ( -1), 182412730, 566124444, ( -1), ( -1), 840399473, ( -1), 979582225, 98491971, 632172955, 11317941, ( -1), 574578392, 103665080, ( -1), ( -1), ( -1), ( -1), 496635382, 978518572, 760470711, ( -1), 218038680, 117591258, ( -1), 107009575, 215064367, ( -1), 284341254, ( -1), 324144936, 76356667, 170587235, ( -1), 837775800, 234032911, 197165049, 815796560, ( -1), 580585283, 163550167, 193206017, 862505168, 584184870, 426152095, 504203352, 129076070, 445191362, ( -1), 578153911, 829708366, 627125576, ( -1), 306874959, 130809769, ( -1), ( -1), ( -1), 462082004, 748509104, 8334000, 515685933, ( -1), 222863645, ( -1), 65438823, 269486321, 112771171, 938000862, 312853036, 919770447, 359572649, ( -1), 63639439, ( -1), 920597078, 420990462, ( -1), 823659989, ( -1), ( -1), ( -1), 237317615, 272719826, 913717672, 537806309, 368518715, 431399444, 558600604, 165112640, ( -1), 28196295, ( -1), 777562358, ( -1), 140161038, ( -1), ( -1), 706669790, 288007286, 622914667, 208904928, 542061953, 720437916, 54129039, 84400590, ( -1), 389684181, ( -1), 643458038, 67328171, 23641986, 111372902, 423716001, 292240475, ( -1), 335906625, 933880045, 333386090, ( -1), ( -1), 441897308, 844092941, 40846350, ( -1), 543703054, ( -1), ( -1), ( -1), 569737085, ( -1), 878083239, 325475212, 137681214, ( -1), 296033695, 132703853, 793932944, 629501172, 40934937, ( -1), 923975625, ( -1), ( -1), 912303204, 284186260, ( -1), 265381978, ( -1), ( -1), ( -1), 40197851, 579670616, ( -1), ( -1), 380373694, 924503298, ( -1), 670387597, 578755518, 878527619, ( -1), ( -1), ( -1), 948819569, ( -1), 340383231, ( -1), 514682240, 813567742, 626453201, 161110544, 681137545, ( -1), 698826658, ( -1), 866453513, 430602336, 274927230, 792384183, 466090291, 542242841, 73327312, ( -1), ( -1), 982502368, ( -1), 827276799, ( -1), 66318197, 933145438, 150983371, ( -1), 779680488, 111723587, ( -1), 221970214, ( -1), 446843575, 133447610, 213693331, 324140300, ( -1), 100696202, 886375075, 845987389, 784120641, ( -1), 678117232, ( -1), 411892507, 901447063, 230828455, ( -1), ( -1), 464740688, 767378198, 802903507, 456045291, 413100800, 768191819, 892078076, 230756928, 201361245, ( -1), 890330965, 549493834, 479577222, ( -1), ( -1), 647807934, ( -1), ( -1), ( -1), 615339538, ( -1), ( -1), 598577278, 395541772, 843309777, ( -1), 994392699, 116388702, ( -1), 354637678, ( -1), 548610221, ( -1), 62304883, 622771195, 405939586, ( -1), 150328980, 424608933, 322315008, 936748636, 592361618, ( -1), ( -1), 22933916, ( -1), ( -1), ( -1), 43697924, ( -1), 453776259, 93076898, 663032999, 177223302, 894877527, ( -1), ( -1), 146383920, 416550386, ( -1), ( -1), ( -1), 132539216, 990689563, 946694072, ( -1), ( -1), 437193362, 72374686, ( -1), ( -1), 923251451, 22659898, 193726995, 555710734, 390268073, ( -1), 102745012, 302853178, ( -1), 164451589, 731697995, 589878028, 4996356, ( -1), ( -1), 434255361, 659215071, ( -1), 439174622, 296168410, ( -1), 608820199, 884497443, 548076848, 817038643, 503595039, 539758854, ( -1), 692238282, 536469870, ( -1), ( -1), 867325230, 21507645, 201664230, ( -1), 72064806, 139778432, 37300996, 391922225, ( -1), 532021756, 152676873, 196735550, ( -1), ( -1), 764238411, 17552008, 67705719, 399372956, ( -1), ( -1), 546766223, 257881703, 358409241, 729478921, 258825633, ( -1), 560105162, 71558607, ( -1), 625648292, 115657998, 974890249, 495121298, ( -1), 333580177, 49173138, 494109205, ( -1), 940014146, 223708162, 159211167, 672367820, ( -1), ( -1), 184526147, 852655768, 929268148, ( -1), 878201366, ( -1), 39590425, 694614402, 508110888, 829221415, 47354532, ( -1), ( -1), 599355622, ( -1), ( -1), ( -1), 758737550, 290167557, 134368878, 599039011, 554765282, 932528987, ( -1), 490966351, ( -1), ( -1), 534362912, 197366521, ( -1), ( -1), ( -1), 328702822, 352185607, ( -1), ( -1), ( -1), 556630781, 535518, 268109277, ( -1), 501353565, 569447944, 330735473, 551882798, 575069292, ( -1), ( -1), ( -1), ( -1), 776644976, 29415532, 812467163, ( -1), ( -1), 206375024, 364634950, 536330008, ( -1), ( -1), 65496295, 515416143, 164004425, 824353533, 763001393, 866891089, 295714817, ( -1), ( -1), 838721940, ( -1), ( -1), 397036906, 115967379, 403216512, 825565740, ( -1), 832099115, 940183379, 623468989, 276858456, 800822403, ( -1), 746399359, 224159468, 731743001, 144072425, 989123459, 364638521, 934162930, 707874291, ( -1), 147320783, 795205576, 40028537, 3908903, 122664582, 499435173, ( -1), 557972311, 966256275, 71973646, 917773501, 75714466, 519383114, ( -1), ( -1), 325943005, 848125087, 998125352, 703310761, 744807993, 922977243, 466625653, 565085963, 526240002, 428858347, 407045041, ( -1), 474058167, ( -1), 878376192, ( -1), ( -1), 314442835, 149788706, 437462840, 973665875, 667373219, 640529956, ( -1), 568861432, ( -1), 693489153, 263458815, 792415304, ( -1), 708229082, 482089365, 728649816, ( -1), 963694798, 851768505, 884280874, ( -1), 298613524, 205225170, 138479940, 988071065, 838851816, ( -1), 509046836, 511379086, ( -1), 52505366, 729128084, 67284468, ( -1), 784163824, ( -1), ( -1), ( -1), 552267048, 902224235, 667831850, 663288730, 947363861, 579012064, 692130532, ( -1), 113524919, 279204496, 211468333, ( -1), ( -1), 495815613, ( -1), ( -1), 120717161, ( -1), 19041240, ( -1), 275871303, 419158047, ( -1), 151622407, ( -1), 462836008, 8496013, 615355420, 976047812, ( -1), 686834736, ( -1), 376485085, ( -1), ( -1), ( -1), ( -1), 508577046, 473335647, 518746289, 953390205, 707923278, ( -1), 380879151, 279933103, 268692448, 801019576, 895834801, ( -1), ( -1), 876213894, ( -1), 392925542, 705459914, ( -1), 414724786, ( -1), 124653841, 790408175, ( -1), 653231904, 247320742, 9825038, 105425411, 957715682, 864527915, ( -1), 784441819, 976396782, 373602664, 384691498, ( -1), ( -1), 427696792, ( -1), ( -1), 932929002, 689424669, 301161678, 438239336, 793253567, ( -1), 332943135, 808813036, ( -1), ( -1), 502121080, 650972908, 37253017, 819277395, 305663653, 460213416, ( -1), ( -1), 622765303, ( -1), 563015676, ( -1), ( -1), 431279533, 858169768, 795440998, 572618638, 605584959, ( -1), 985913627, 534718561, 298640449, 44160625, ( -1), ( -1), 819090566, 646035514, ( -1), 386503116, 177613143, 732335672, 833347653, 761881692, ( -1), 856378358, 461748154, 233780993, 721827229, 975086700, ( -1), 414300349, 537032252, 567246595, ( -1), ( -1), 388208153, ( -1), ( -1), 148425238, ( -1), 424244568, 357219944, 261081766, 73661206, 876146614, ( -1), 836440390, 479298990, 948290559, 152533369, 653633362, 730213755, 196356914, 922134843, 709552969, 953205750, 990389069, 912708571, 30264778, 523617192, ( -1), 379500680, ( -1), 709235280, 769871265, 47936399, ( -1), 658682913, 105301174, ( -1), ( -1), 712164620, 65958360, ( -1), ( -1), ( -1), 592472088, 903544610, 858140589, ( -1), 397260644, ( -1), 205587344, 844643606, 80970413, 90099745, 976760408, ( -1), 531732783, 846514869, 642639135, 983984064, ( -1), 439305315, ( -1), 114339426, 561784971, 281715724, ( -1), 563510965, 65031176, 846222093, 740437606, 110377069, ( -1), 186416452, 790164382, ( -1), 548624390, 139977295, 123538303, 185461428, 964831822, 845315171, 327894267, 409789292, 157546760, 942715295, 638789635, 362421231, 922161452, 477283221, ( -1), 649666720, 141015174, 825669131, 476606385, 279233823, 266768362, ( -1), 669450257, 58262791, 151676731, 417752378, ( -1), ( -1), 284122401, 921562166, 878694948, 655240255, 21990105, ( -1), 512056757, 995995387, ( -1), 618375937, 545872583, 423563571, 964636109, 120392252, ( -1), ( -1), ( -1), ( -1), ( -1), 343340412, 727633428, 250591083, ( -1), 222058328, ( -1), 623087139, 910614476, ( -1), 832801778, 488271078, 26725713, 91668640, 248527479, ( -1), 572397449, 289703495, ( -1), 28409264, 606044, ( -1), 950782509, 148280522, ( -1), ( -1), 623311684, 191415051, 109809526, ( -1), ( -1), 131986131, 588317478, 168939650, ( -1), 174016176, 848554540, 315443697, 374103335, 687133566, 462174786, 132120708, ( -1), 344279128, ( -1), 792451342, 850486562, 266460743, 183087113, 442689140, 487725466, ( -1), 891384403, 841111778, ( -1), 407208247, 583717440, 504874076, 640101512, 910441938, ( -1), ( -1), ( -1), 23708593, ( -1), 773009715, 61716703, 534161255, 493722073, 546778833, ( -1), 950605493, ( -1), 743762886, 282843632, ( -1), 159090989, ( -1), 218789068, 277123687, 526677292, 699350192, 197867151, 358899473, ( -1), 933592212, ( -1), 581451722, 421441058, ( -1), 533213961, 68298096, 171996014, ( -1), ( -1), 688124499, 896582579, 497028329, ( -1), ( -1), 26153994, 340019648, 879719897, 901342542, 21656599, 130165742, ( -1), 646389361, 499534378, 459396603, ( -1), ( -1), 687929814, 393115024, 266211968, 85096780, 252411424, 370734705, 224134417, ( -1), 573239025, 55605935, 154831524, 187362199, 266992358, 972718299, ( -1), 974368856, ( -1), ( -1), 605454356, 52895894, 608126807, 215252022, 798235173, ( -1), 497997795, 159803416, 240690088, 275678972, 902432150, 507591381, ( -1), 153517708, 530759723, 148788484, ( -1), 514201368, 731123903, ( -1), ( -1), 706156094, 485663108, 695269758, 9437243, 470394173, 909036250, 206952231, 278267417, 454099894, 250741327, ( -1), 132909547, ( -1), 327326590, 430123565, 402593572, 761812826, ( -1), 890273202, 507394347, 597375665, 612735814, ( -1), 24844883, ( -1), 82220750, 62360245, ( -1), 204539502, 373369246, ( -1), 71296786, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 27551561, ( -1), 775704631, 108448376, 323710612, 616161058, ( -1), ( -1), ( -1), 888274545, 463382546, ( -1), 143083659, ( -1), ( -1), 900448049, ( -1), 588988555, 406558628, 254697826, 3966067, ( -1), 37524575, ( -1), 86366623, 488152590, 291362583, ( -1), ( -1), 791027696, ( -1), 702026752, 74384404, ( -1), 803639490, ( -1), 829242845, 463882377, ( -1), 192568699, 548996862, 758358265, 456223001, ( -1), 850061645, 208774516, 71896213, 506965346, ( -1), ( -1), ( -1), 823833084, 205657748, 542692434, 293347815, ( -1), 154048506, ( -1), 124276855, 561437209, ( -1), 343308622, 114578202, 909006072, 832991978, ( -1), 514717890, 678689314, ( -1), 265559138, 83041616, 577639983, ( -1), 474272493, 514883734, ( -1), 590952514, ( -1), 537857624, 612910843, 471124090, 346021826, 636563809, ( -1), ( -1), ( -1), 173323381, ( -1), 586831207, 960644247, 662359909, 77565315, 477498350, 571139313, 401290495, 118079855, 705468114, 679482240, ( -1), 917577584, 728151525, 442671483, 10616744, 763434442, ( -1), ( -1), 233810114, 807221920, 497588485, 127850822, 839287682, 286271455, 598168072, 973726701, ( -1), 310443392, 287655414, 50626283, 738115521, 851730399, ( -1), 784819644, 881960588, ( -1), ( -1), ( -1), ( -1), ( -1), 671002218, 846152907, ( -1), 382813982, ( -1), 474777670, 105818880, 893088926, 581355690, 550371035, ( -1), 364480082, 514417047, 47752083, 431441743, 362282338, 654897465, 335313432, 596876847, 245646063, ( -1), ( -1), 250521464, 319691333, ( -1), 991257305, 992761951, 612819405, 367293852, ( -1), ( -1), 500393025, ( -1), ( -1), 202126276, 940318373, ( -1), ( -1), 917830865, 402374365, 11062450, ( -1), 735973655, ( -1), 915393608, 110785064, 156134198, ( -1), 435365066, 33039822, 779653354, 641808649, 993150674, 873354793, 128317368, 49045175, 238715494, ( -1), 552776417, 974708379, 796083648, 477542881, 410382242, 537631051, 149581605, 376671796, 124939886, ( -1), ( -1), ( -1), 227696162, 591522238, ( -1), 199115502, ( -1), 457891524, 488578097, 254401258, 81326111, 225480423, ( -1), 970169538, ( -1), 949435670, ( -1), ( -1), 350066159, ( -1), 306599558, ( -1), 934206056, ( -1), ( -1), 544976971, 942798957, ( -1), ( -1), 331981704, ( -1), 872559940, 680947263, 19698992, ( -1), ( -1), 492764845, 710804278, 260449373, 45903332, 534313457, 497227590, 275084013, 67848604, 611045661, 14826397, 571925435, ( -1), 914113383, 668677560, ( -1), 949255099, 371285070, 659931449, 387806676, ( -1), 529954262, ( -1), 559189723, 21176218, 548587951, 365484951, 757492764, 320160950, ( -1), ( -1), 32409442, ( -1), 284232810, ( -1), 455844766, 989199673, 1597030, 76300227, 878992407, ( -1), 507956754, 125764647, 547575119, 278108259, 829824310, ( -1), ( -1), 436888965, 456044270, ( -1), 449863286, ( -1), ( -1), ( -1), 38823847, 571104979, ( -1), 979170774, ( -1), 215892688, ( -1), 718324990, 114192026, ( -1), ( -1), 955062062, 423588031, 568160445, 369815673, 29112867, ( -1), 441297653, 836253594, 737914001, 572606261, ( -1), 471557176, 690050404, ( -1), 607979920, ( -1), 567400490, 863022308, 895488436, 953723125, ( -1), ( -1), 19406457, ( -1), 976264179, ( -1), 783532445, ( -1), 478774542, 122068185, ( -1), 773540530, 61791949, ( -1), ( -1), 781493207, ( -1), ( -1), 625596507, 984058837, 786661577, ( -1), 194592, 414831207, ( -1), 538157834, 291705258, ( -1), ( -1), 308369392, 524577783, 499080507, 960563086, 551592318, 99295985, 422321043, 706336081, 966487318, 552414573, 37182722, 11238568, 923688749, ( -1), 521813594, ( -1), ( -1), 554384816, 274983658, 259741230, 129625038, 596013365, 626150021, ( -1), 671002747, 942287552, 864947315, 586942192, 617539088, 683750808, 863946230, 203383461, 997958343, 418893610, 983568933, ( -1), ( -1), 815688676, ( -1), ( -1), 329925453, ( -1), 779372331, 34815535, 690948742, 496510977, ( -1), ( -1), 131379170, 154409262, 130317114, ( -1), ( -1), ( -1), 79541903, ( -1), 849363000, 746542829, 356518342, 310442883, 250899781, 894477975, ( -1), 706307963, 612613924, 224373076, 276697941, 247119915, 649341940, ( -1), 870691522, 933094384, 660984872, 122395529, ( -1), 122732945, 502143968, 789992464, 551733595, ( -1), 586132722, ( -1), ( -1), 898484344, ( -1), 953996649, 987330086, ( -1), ( -1), 425139682, 361263116, 958178219, 96860961, ( -1), ( -1), 728595037, 748307950, ( -1), 156437491, 652727617, ( -1), ( -1), 760277992, ( -1), ( -1), 977298108, ( -1), 420739301, 596515877, 233518993, 965598660, 965914904, 660183704, 938005144, 770273071, ( -1), 643833750, 66409506, 570775642, 813352304, ( -1), ( -1), 134548591, ( -1), ( -1), 413224307, 871000430, 901786920, ( -1), 264716092, 975924903, ( -1), ( -1), 71965511, ( -1), 45166505, 728334864, ( -1), 548981973, 583601966, ( -1), ( -1), 571373084, 103267396, 244993889, ( -1), 378194100, 364110267, 701181696, ( -1), ( -1), 994458568, 812180561, ( -1), 777091636, 79725947, 972589970, ( -1), 570460372, ( -1), 948211756, 133952187, ( -1), 677370020, 884297393, ( -1), ( -1), 38490508, 585611678, 925283164, 410032130, 284869020, 828064491, ( -1), ( -1), ( -1), ( -1), ( -1), 853298771, 539754494, ( -1), 53545304, 232407448, 987392025, 305316643, 335248254, 74417074, ( -1), ( -1), ( -1), ( -1), 291335652, 542338734, 327727971, ( -1), ( -1), 980267451, 562473752, 112734207, 983570959, 748780738, 786893686, 859193263, ( -1), ( -1), 324571881, 431834849, 119486784, 738427702, 718827314, 584952431, ( -1), ( -1), 423820738, ( -1), ( -1), ( -1), 695649365, ( -1), 754028483, 36529500, ( -1), 605592344, 536492869, 479010224, ( -1), 730984328, 705535904, 348808817, ( -1), 655796373, 120914411, 496704456, 557823298, ( -1), ( -1), 436145979, 888297822, 535522194, 102049970, 28228606, 619496679, 474077788, 893372546, ( -1), 612244782, ( -1), ( -1), 965732657, ( -1), ( -1), 217097242, 947520814, 471124946, ( -1), 864639904, 575981980, ( -1), 724704010, 896369195, 496023, 760783676, 782954860, ( -1), 555603731, ( -1), 874238119, 268180050, ( -1), 96708610, 393074843, 36117939, 623896178, 873517831, 800138655, 288661508, 993449544, 479564235, 744842333, 782833617, 808289410, 395268328, 567703307, 78436991, 670464332, 191728962, ( -1), 106552624, 434960124, 114879220, 80660508, 154367938, 155202814, ( -1), 433977913, ( -1), 754993213, 639430871, 194330668, ( -1), 292507392, 138527060, 398406197, ( -1), ( -1), ( -1), ( -1), 890560705, 207546127, 815552403, 955550984, 113837755, ( -1), 562449263, 209943710, 145004727, 228136807, 154825970, ( -1), ( -1), 225142559, 552153147, 676130610, ( -1), 70354299, 338390943, 389452585, ( -1), 270044487, ( -1), 558131975, 339873558, ( -1), 17404619, 894444195, ( -1), ( -1), ( -1), ( -1), ( -1), 620137009, ( -1), 120358188, 184468581, 86717070, 192273318, 755376890, 952189256, 172147395, 558657408, 241585894, 968103363, 662882741, 55026610, 938223943, ( -1), 491717202, ( -1), 39408762, ( -1), 160485999, 91050039, ( -1), 65432377, 901518415, 291679355, 266896980, 583643318, 870332614, 843879711, 418651287, ( -1), ( -1), 758187114, 7844192, 933401742, 873555204, 228778207, ( -1), 969912263, 581238572, 315920606, ( -1), 896749116, ( -1), 907426959, 382354584, 968697825, ( -1), 390081316, ( -1), 285009321, 649011922, 462827259, 772480773, 298249175, 322656568, 647505122, ( -1), 89734885, 277631731, 728301502, ( -1), ( -1), ( -1), ( -1), 627217699, 525475134, 780556248, ( -1), ( -1), 130808582, 153775054, ( -1), ( -1), ( -1), 785562491, ( -1), 270183368, 355344523, ( -1), 40233018, 207886370, ( -1), 761598640, ( -1), 736058520, 955829448, ( -1), ( -1), 732794429, ( -1), 934517835, 509586581, 689852783, ( -1), 801062673, ( -1), ( -1), ( -1), 444008819, ( -1), 416530525, 720324252, ( -1), 258880944, 821675617, 551773778, 688537313, 723822345, 601069651, 802597641, ( -1), 948954945, ( -1), 6791251, 380276831, 502027028, 532382112, 659414882, 977254338, 839619420, ( -1), 263858677, ( -1), ( -1), 282503052, 456481776, ( -1), 784256513, 369264719, ( -1), ( -1), 666104655, 170678394, 248553879, 770519454, ( -1), ( -1), 675280358, ( -1), 893360994, 884358372, 683269605, 341745204, 613714957, 472490252, 613590109, 281425713, ( -1), 390712608, 654014847, 311699872, 95732708, 430054585, ( -1), ( -1), 152584396, 985765686, ( -1), 419589077, 523901246, 189205538, 412185487, 43133660, 563275495, ( -1), 321881393, 842194272, ( -1), 810295944, ( -1), ( -1), ( -1), 446683797, 743390351, 64791252, ( -1), ( -1), 89112833, 279258036, 917775561, 759822550, 590174521, 139747850, 62556212, ( -1), 448982875, ( -1), 786724490, 540939814, ( -1), 73301353, 213649416, 577149136, 233953674, 618760232, ( -1), 556121218, 210595237, 845839902, ( -1), 818955509, 572278715, 836634876, 506676765, 607420869, 201764280, 748593120, 897794204, 76492258, 804164745, 855404581, ( -1), 569278917, 409840354, ( -1), 232995477, ( -1), 613492159, ( -1), 114061317, 356825287, ( -1), 449514451, 1024708, 61825330, ( -1), 806640542, 217275344, 368020060, 398393933, 812151719, 959538449, ( -1), 419532802, 972444920, 766082759, ( -1), 873813180, ( -1), 419917461, ( -1), 907178357, ( -1), 26617456, 669331440, 750563152, ( -1), 579120449, 195655907, 870083248, 40927902, 214213978, ( -1), 424123328, ( -1), ( -1), 11325555, 539108068, 974591984, 881897227, 440727104, 340768902, ( -1), ( -1), 565530050, 789305445, 967509347, 834649127, ( -1), 884306115, 302157053, ( -1), 930375287, ( -1), ( -1), 867975751, 225214580, 652646874, 28396655, 643727742, 961718963, 191533285, 644151854, 504254946, 389196046, ( -1), ( -1), 629812912, 869557423, ( -1), ( -1), ( -1), 391239928, 570157647, 378585644, 947846927, ( -1), ( -1), 48145670, 45428233, ( -1), ( -1), 635059715, ( -1), 361856282, 738002085, 496903286, ( -1), 615608832, 834744958, ( -1), 440699584, ( -1), ( -1), ( -1), 226972805, 194087046, ( -1), ( -1), 291622464, 528022443, 435099377, 677654810, ( -1), 855329644, 581118471, 174040108, 57090069, 796517303, ( -1), 240348425, 273303193, ( -1), ( -1), ( -1), 832841401, ( -1), ( -1), ( -1), 636285307, 624957322, 293567935, ( -1), 291688613, 921311171, 780858168, ( -1), 30952907, ( -1), 41939308, 737002807, 673408307, ( -1), 628514459, ( -1), 640745038, 96589226, 784270174, 640178108, 771952446, 366593138, 749438265, ( -1), 922106492, 3876541, 84545721, 743389819, 469340070, 186391032, 12180274, 101573248, 392126319, 993395325, 878493265, 413954530, 329257691, 241157674, 146014010, ( -1), 247665765, 337695901, 748326222, 421182976, 163782711, ( -1), 239524467, ( -1), 657099544, ( -1), ( -1), ( -1), 717403490, ( -1), 187582371, ( -1), 839870741, ( -1), ( -1), 919429045, 800205368, 48109273, ( -1), 171851369, 244896517, 954600658, ( -1), 854582486, ( -1), 271131416, ( -1), 702536051, ( -1), 937469198, 795007937, 333852784, ( -1), 600349024, ( -1), 560118692, 231440098, 228471877, ( -1), 21908507, 560861355, 504038944, 694031979, ( -1), ( -1), 68684443, 942167850, 728496756, 595158469, ( -1), ( -1), 321712973, 956932389, 886131728, ( -1), 511538752, 615494506, 931755278, ( -1), 546883536, ( -1), 301211009, 596601895, 634246297, 129222263, ( -1), ( -1), 891793390, ( -1), 661402230, 733649222, 137569929, 726934924, 850521883, ( -1), ( -1), 467880279, 807461048, 907005341, ( -1), 918722367, ( -1), 165177331, 432767911, 76767854, ( -1), ( -1), ( -1), 29764335, 703769610, 939456497, ( -1), 833088555, 761611681, 678408337, 603351979, 899268127, ( -1), ( -1), 323264461, ( -1), 856381397, 640149225, 441158771, ( -1), 675639407, ( -1), 538389626, 522329991, ( -1), 269363138, ( -1), 796827463, 921945976, ( -1), 621643910, ( -1), 13740346, 80404968, 992625124, ( -1), 964289804, 922603235, 635951550, 343343393, 70219628, 872131411, 745900621, 620098437, 866996725, ( -1), ( -1), 55162796, ( -1), ( -1), 633366493, ( -1), ( -1), 460124597, 95036048, ( -1), ( -1), ( -1), 157853698, ( -1), 261185268, 447256477, 487198246, 735097608, 391173953, 997149246, 732058528, 359398188, 236948880, 960620524, 864218773, 255042473, 440337541, ( -1), ( -1), ( -1), 513813147, 156741849, 578890601, 248815041, ( -1), 827548272, ( -1), 584146075, 730077291, ( -1), 274552951, 925723196, 521933644, 168714399, 298451626, ( -1), 237491477, ( -1), 847247583, 601579649, 681296618, 450857441, 117739410, ( -1), 102807869, ( -1), 489974046, 995951862, 896812225, 371588442, 684065150, 725741397, ( -1), 221187717, 458871463, 811916496, 21954586, ( -1), 745220999, ( -1), 279490095, 700589876, 956108179, 40985001, 337323959, 124396998, ( -1), 202311817, 1774064, 447521580, ( -1), 693826107, ( -1), 312486, 28586608, ( -1), 199651969, 10866820, ( -1), 160365434, 787656513, 339986571, 117560079, 659824840, ( -1), 305542257, 625805569, 172125498, 392999996, ( -1), 403217834, ( -1), 952019901, 590480592, ( -1), 513246817, 23434608, 389862768, 190525613, 865272708, ( -1), ( -1), 183772811, 60563507, 218738714, ( -1), 608299554, ( -1), ( -1), 196495829, 188746599, ( -1), ( -1), 147988081, ( -1), ( -1), 835403351, 263862139, ( -1), ( -1), ( -1), 295236899, 162119215, 309952991, 576947152, 883842777, 292787906, 146834603, 99485434, 81699217, 68473622, 388542261, 819681366, ( -1), 940186433, 727574823, ( -1), 458355172, ( -1), ( -1), 660478559, 802344802, ( -1), 998886392, 790640265, 821099141, 454394151, ( -1), ( -1), 607027721, 977151718, 484927791, 357019726, 824184374, 816930400, 273137047, 44681475, ( -1), 612651308, 505064488, 750357253, 502094198, ( -1), 769560329, 350011891, ( -1), 383072268, 957739897, ( -1), 605095274, 78787842, 28987135, 104133333, 141189271, 352185730, 451466056, 788277820, 75108439, 717369416, 279346714, 438640731, 480147960, 433213760, ( -1), 793250749, ( -1), 514284521, ( -1), 904938656, 986609870, 941317126, 491031472, 527737757, 522847419, 42898615, ( -1), 706079956, 921613185, 843457735, 396008123, 410726666, ( -1), 855721846, ( -1), 309225494, ( -1), 607086031, ( -1), 518726441, ( -1), 258064956, 281243894, 335856671, 727997562, ( -1), 812436660, 985991350, 158755693, 421585066, ( -1), 317635847, 657211881, 556034252, 29339195, 42222883, ( -1), 789411862, 573154832, 652152753, ( -1), ( -1), ( -1), 349249956, ( -1), 20664718, 665821327, 119561532, 906668729, 763460330, 446895900, 70131248, 238012749, 124570484, 161063561, ( -1), 723020447, 434201087, ( -1), ( -1), 978519279, 689134165, 786747234, ( -1), ( -1), ( -1), 121252967, ( -1), ( -1), 79447792, 30713953, 165578485, 736706771, 707073190, 684941470, 398728320, ( -1), 31681487, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 982672150, 49014504, 745822539, 259842036, 439139409, ( -1), 68379073, 700991171, 210023369, 835559983, 425930323, 258214603, ( -1), 477243720, 110557182, 781163098, 694584074, 995164870, 635271684, 111425676, 298559070, 808206068, 519002975, 75312577, ( -1), 925463549, 420781736, ( -1), 220086815, ( -1), ( -1), 386956124, 639034599, 124096233, ( -1), ( -1), 567040867, 894256053, ( -1), 521120776, ( -1), 89027998, 406453535, ( -1), 820174270, 866858077, ( -1), 425114151, ( -1), ( -1), 868827617, ( -1), 20138008, ( -1), 113962055, 339843377, ( -1), ( -1), ( -1), 1645598, 102973020, ( -1), ( -1), 98398659, ( -1), 95937407, 990764730, 750524330, 553277573, 8572919, ( -1), ( -1), 871575235, 984086663, ( -1), ( -1), 221140326, 183461668, 47925222, ( -1), 247767356, ( -1), 888862729, 876860680, 534422021, 808067819, 245230167, 249553287, 791010942, 446440018, 979373145, 840177889, 611405228, ( -1), ( -1), 890517863, ( -1), 412624835, ( -1), 240533176, 433521397, 314178537, 728826836, 256729959, 993035518, ( -1), ( -1), 805821482, 8497740, ( -1), ( -1), 448975409, 685026599, 920284290, 357443529, ( -1), 914615112, 459965550, 871612968, 493944804, 377584069, 156378146, 950015691, ( -1), 652350919, 93321546, 779488024, 480260638, ( -1), 927899659, 56365622, ( -1), ( -1), ( -1), 743648754, ( -1), 906527097, ( -1), 605731467, ( -1), ( -1), 948948119, 397620124, 94599122, 822367286, 196038072, ( -1), 153215744, 796367539, ( -1), 282494152, 455984941, 186033216, 24628727, 678678579, 63816107, 806671527, ( -1), 831148722, 906790406, ( -1), 475365557, ( -1), 717040797, 544223488, 458756977, ( -1), 145786986, 68043232, ( -1), 475198182, 207570540, 226980560, 69121646, 136586259, 535798151, 248645206, ( -1), ( -1), 474958792, 545143351, 820376844, 239927799, 856672681, 936835091, 897547174, 624232587, ( -1), ( -1), 825573341, 582073056, ( -1), 1672949, ( -1), 67561706, 563746005, 705074412, ( -1), 93428907, 453724318, 605672535, 146137665, 806865632, 929300838, ( -1), 408049964, ( -1), 60316114, ( -1), 511515618, 767343197, ( -1), 245634423, ( -1), 535398628, 868986751, 571339545, 477858590, 733972979, 730275292, 619903500, ( -1), 848643989, 123598250, 666038553, 206250495, ( -1), 809017945, 824377915, 608233466, 871867777, 689612678, 269766626, ( -1), ( -1), 659886500, 914377838, 706075556, 724059974, 53190485, 286957455, 460115496, 752275395, 477705405, 125237448, 373449501, 944826687, 787949844, ( -1), ( -1), 533344513, 892471714, ( -1), 222575886, 397051477, ( -1), ( -1), 834354763, ( -1), 643150479, 405482310, 922071162, ( -1), ( -1), 503168155, ( -1), 99333590, 972191134, ( -1), ( -1), 672295293, ( -1), 191048161, 510347148, ( -1), 928452191, ( -1), 93027556, 500614753, 919671445, 98959936, 494303841, 711437442, 994075279, ( -1), 175550450, ( -1), 693118591, 759243529, ( -1), 814454049, 901524387, 509430183, 177781064, 463850610, ( -1), 785724057, 890108364, 787517582, 653425366, 104097705, 731789933, 520935440, ( -1), 164747862, 650586909, ( -1), 74517166, 748299285, ( -1), ( -1), 422884928, 91853698, 974975209, ( -1), 825001638, 62672314, 703471597, 895116754, 202269626, ( -1), ( -1), ( -1), 670489109, 979007271, ( -1), 239303707, ( -1), ( -1), 797248201, 210595146, 213221315, 185079949, 287579665, 194521341, ( -1), 318327508, 703078418, 316331109, ( -1), ( -1), ( -1), 980660211, ( -1), 978018138, 351756034, 369932288, 778573445, 992582260, 693255266, 47080062, 794201226, 459339528, 493688510, 700290982, 806580205, ( -1), ( -1), 549616496, 662384915, ( -1), ( -1), 140078660, ( -1), 849720221, 193303102, 860399187, 726158937, ( -1), 96117503, 308182671, 414008808, 918822107, 752256474, 711800752, 608882141, 677442440, ( -1), 594262476, ( -1), 86564001, 584392206, 151571249, 832750424, ( -1), 325712237, ( -1), ( -1), 290054931, 424460908, 795552426, 680676375, 759884100, ( -1), ( -1), ( -1), 525519056, ( -1), 235285157, 62281974, 557120892, 138596742, 930548802, 301074102, 542885043, 251095434, ( -1), 188755033, 750740366, 249050467, 641052012, 446171202, 204937280, 825645650, 714552359, ( -1), ( -1), 719234205, ( -1), 166473107, ( -1), 958647590, 63390024, 715299940, ( -1), 107548051, 508968423, 267444975, 697638567, 1869438, ( -1), ( -1), 26185459, 415912891, 343451405, 220012743, 163339057, 81195691, 972116264, ( -1), 748063394, 674692402, ( -1), ( -1), 146548445, 655636685, 131849497, 689481654, ( -1), 244241921, ( -1), ( -1), 459019693, 539990417, ( -1), 934060383, 523809802, 662756961, ( -1), ( -1), 744106781, ( -1), 444997868, 292116487, 359494016, 205097927, ( -1), 334091786, 288456792, 916947004, ( -1), ( -1), ( -1), 173796237, 716883158, 922832032, ( -1), 667407279, ( -1), ( -1), 60203693, ( -1), 832493058, ( -1), ( -1), ( -1), 342606149, ( -1), 434565753, 369111536, ( -1), 802475093, 63551022, ( -1), 90968964, 506176876, ( -1), 862892134, 496291543, 839973319, ( -1), 321324030, 748315519, 969437105, 562730101, 25125863, 646983140, 925039325, 965414256, 33697192, 48666217, 676919720, 704204292, ( -1), 210984486, 408006322, 792826891, 772192477, 175294684, 741879147, 61914593, 693018510, 303262564, 512396979, ( -1), 63550955, 295854218, 193202608, ( -1), 636497940, 428070633, ( -1), ( -1), 289054958, 176542482, ( -1), 196185893, 115509194, 977525054, ( -1), ( -1), 267737118, 690318803, 358911168, ( -1), 152179137, 404075575, 503680216, 413382209, ( -1), ( -1), ( -1), 107331990, ( -1), 932972708, 757996406, ( -1), ( -1), 901040811, 873225109, 13232013, 234860317, 888528343, ( -1), ( -1), 264000210, 995260301, ( -1), ( -1), 556034851, 561330537, ( -1), 40364412, ( -1), ( -1), ( -1), 43971751, ( -1), 748835451, ( -1), 34070149, 488718556, 80482836, 208544294, 146906517, ( -1), ( -1), 252502811, 40717418, 675095369, 94472068, 523218131, ( -1), 12212048, 157613161, 161783928, 717131604, 220400158, 362017429, 94224332, ( -1), 502420755, 261440904, ( -1), 490641709, 114115339, 639834198, ( -1), ( -1), 776371121, ( -1), ( -1), 501816587, 832263544, 350175972, ( -1), 964024067, ( -1), 396436126, 729835146, 241447132, ( -1), 583576189, 198464788, ( -1), ( -1), ( -1), 276818270, 640034038, ( -1), 893100935, 433004781, ( -1), 303144657, 742614820, 512762348, 483406936, 802727345, 927004485, 126452376, ( -1), 586390435, 920057089, 832115362, 894870709, ( -1), 393474028, 452145905, ( -1), 360286617, 302944728, 93097199, 840247741, 785904924, 936960672, 892042912, ( -1), 247516513, 922131599, ( -1), 535717990, 758019222, 956855930, 818643272, 347175098, 380216820, 23499788, 409011694, ( -1), ( -1), ( -1), 785705597, ( -1), 1690218, 429718743, 756757420, 769906293, 296015920, 556024803, 183548551, ( -1), 730384123, 430240308, 363669099, 513080407, 230115405, ( -1), 684083630, 650913680, 664700423, ( -1), 937283173, 76698289, 361388227, 878923357, 28780161, 109133682, 60709509, ( -1), ( -1), ( -1), 394940197, 797237849, 984475136, 720052328, 213634305, ( -1), 349714266, 421681159, 550793056, 526365139, 499507278, ( -1), 39977080, 177341081, 570085875, ( -1), 456838427, 397596899, 630749793, ( -1), ( -1), 269838870, ( -1), 841609825, 161761703, 364199070, 453121409, 123985118, 411224883, ( -1), ( -1), 525690939, ( -1), 520535004, 871099577, 496841816, ( -1), ( -1), ( -1), 313208219, 288577352, ( -1), 793839732, 341885293, ( -1), 761961588, 594270749, 315850402, ( -1), 26298934, ( -1), ( -1), 29695141, 725959396, ( -1), 354931720, 741560715, ( -1), 938947744, 545422950, ( -1), 350920985, 797304432, ( -1), ( -1), 409855418, 900208137, 357659574, 466412964, 576520158, 814534411, ( -1), 811480340, ( -1), ( -1), 122104306, 35948091, 348157981, 523367815, 719735053, 137115338, 408057955, ( -1), ( -1), 472917622, ( -1), 135912842, 658669789, ( -1), ( -1), 341601634, 570982376, 261558225, 307158701, 874655337, 68111259, ( -1), ( -1), 265164650, ( -1), 809413718, 599513685, 417120664, ( -1), ( -1), 675152514, 556512466, 420786309, 314229712, 577590365, ( -1), 944909384, 611097366, ( -1), ( -1), ( -1), 633412065, 714786923, ( -1), 767269181, ( -1), ( -1), 283207891, ( -1), 911625070, ( -1), ( -1), 295042995, ( -1), ( -1), ( -1), 768279323, 931246139, 832984209, 251902660, 638142785, ( -1), 742553173, 237235967, 592416780, 955610091, 848920585, ( -1), 899146595, 911769535, ( -1), 750212115, 724271004, ( -1), 886918351, ( -1), 516071780, ( -1), 25860784, 274120250, 756676025, 578562691, 659441050, ( -1), 733099495, 751485799, ( -1), 163564672, 200981903, 480679255, 312492109, 168274088, 777860720, 628617262, 334128147, 548469133, 452723430, ( -1), ( -1), 510381252, ( -1), 821044830, ( -1), 894907432, ( -1), ( -1), 607609579, 43363710, ( -1), 679899950, 800608461, 295251816, 881248878, 796834216, 925302670, 86621585, ( -1), ( -1), 840322473, 572127019, 725677672, 502676630, 984686272, ( -1), 639230257, ( -1), 845075616, 738635597, ( -1), 932732627, 664632215, 944533519, 139645239, 203028595, 944293718, 912399466, ( -1), 551748512, ( -1), ( -1), 106732316, 638648196, ( -1), 770797580, 823222421, 242066965, 814526686, 69552724, 197347222, 995345021, ( -1), 332811376, ( -1), 146777664, 389515093, ( -1), ( -1), ( -1), ( -1), ( -1), 725260785, 634993623, 486317244, 251841020, ( -1), 126327498, 738488747, 309171490, ( -1), 857930689, ( -1), 72305177, ( -1), ( -1), 230050705, 865359769, 242827665, 779851967, 670847115, ( -1), ( -1), 623184061, 202573657, 428956079, ( -1), 191152945, ( -1), 169275740, 195535678, 700240996, 181003908, 99768080, ( -1), ( -1), 213390584, ( -1), 552734329, ( -1), 845006945, 619180598, ( -1), 674633991, 966420845, ( -1), 645143113, 405122978, 971095364, 880002578, ( -1), 84791230, ( -1), 901297467, 76653453, 254738985, 653108395, 901220468, 20458806, 579051489, ( -1), 580045127, 52669060, 209509653, ( -1), 642736579, 438880762, 769411099, 979068257, ( -1), ( -1), 510552965, 574550776, 575022683, 182497094, 299932662, 545512960, 828624585, ( -1), 679547114, 496383369, 38464253, 935270035, 404408464, 206554313, 711680398, 629578335, 603624436, 353385759, 93445656, 674419567, 729482920, 211760563, 108889521, ( -1), 696012085, ( -1), ( -1), 168109362, 564219320, 704208305, 827865518, 717468119, 609160825, ( -1), ( -1), 584157072, 686742571, ( -1), 425871141, 485544139, ( -1), ( -1), ( -1), 984449831, 139481066, 366786941, ( -1), ( -1), 49463258, 259914961, 834187330, 668190282, 435336148, 703187433, 392312492, ( -1), 748386530, ( -1), 607013903, 291744681, ( -1), 991993173, 251611725, ( -1), 239321026, 712850250, ( -1), 381454105, 314065340, ( -1), 300692491, 561996830, 580478809, ( -1), 114705569, ( -1), ( -1), 874271843, 749955846, ( -1), 575056226, 199606283, ( -1), ( -1), 210569772, 829590260, 549578726, 622927810, 73996978, ( -1), 285187422, ( -1), ( -1), 69574179, 180964449, 109150673, 13154639, 731158049, 210622707, 809844063, ( -1), ( -1), 329018614, 682081529, 258251313, 71886573, 747934221, ( -1), 582068481, ( -1), 343619449, ( -1), ( -1), 197428406, 689853884, 505462903, 480497703, 722352683, ( -1), ( -1), 619027756, 890335842, 981546157, 630139984, ( -1), 366778665, 807515806, 838190244, 22220819, ( -1), ( -1), 234213155, ( -1), 837343790, 787378264, 707902045, ( -1), ( -1), 741781088, 302204972, 570037029, 12837123, 313781416, 472200069, 15617579, ( -1), 272738987, 214472109, 974039741, ( -1), 842543420, 465434952, ( -1), 453850048, ( -1), ( -1), 547740782, 900898349, 958987469, ( -1), 743793462, 506498529, 460665536, 32600870, 27714197, ( -1), ( -1), 955438864, 670362804, 421895454, ( -1), 752344878, ( -1), 820538595, ( -1), 286600536, ( -1), 900572944, 74499864, 454943191, ( -1), 643189660, 821957568, 821761301, 7917581, 326162176, ( -1), 263086278, 792497779, 981119537, 425748304, ( -1), 825231622, 11041508, 36775798, 846770114, 760087424, ( -1), 650026463, 151006182, ( -1), 842494452, 10275906, 683391383, 977978744, 309662005, 42854753, ( -1), 371510929, 304905862, 685221237, 329112359, 874880185, 195810923, ( -1), 669338547, 58344485, 772760795, 678081091, 582746109, 821958850, 616548567, ( -1), ( -1), ( -1), 266476605, 439516711, ( -1), ( -1), ( -1), 85452826, 11986310, 529476599, ( -1), 597468867, ( -1), ( -1), 236175764, 57910570, 841523741, 345740719, 893650257, 102409401, ( -1), ( -1), 652100069, 735599602, 434833922, 639380096, 229960639, 194197592, 113653801, 82514167, 191846889, 724426316, 332794021, 629102689, 304531700, 403659246, 62909345, ( -1), 657665424, 163647910, 486206199, 230077658, 956122258, 508435538, 466328776, 603314795, 589129434, ( -1), 614999907, 115427404, ( -1), ( -1), ( -1), ( -1), ( -1), 713391627, 994981038, 664754256, 950040022, ( -1), 480570767, 790744770, 25433369, ( -1), ( -1), ( -1), ( -1), 322471796, 150467066, 887550874, 904925821, ( -1), ( -1), ( -1), 500772330, 51771729, 53737723, 124110981, 561926514, ( -1), 372468660, ( -1), 714809686, 920624733, 267787929, 522534969, ( -1), 919385850, ( -1), 470354889, 761289460, 895398203, 330608265, ( -1), ( -1), 631345002, 294462113, 527919530, ( -1), 661921727, 805967025, ( -1), ( -1), 649758942, 970230689, ( -1), 93505513, 975715921, 663421399, 178141404, 714166871, 830393221, 532049601, 38097759, 967335515, 489264020, 127708556, 738661733, 419701551, 549325735, ( -1), 117522827, 378763586, 17782664, 132881791, ( -1), 664885510, ( -1), ( -1), 242295731, ( -1), 420498376, 920961906, 622986848, 972321212, 289081240, 234685525, 408594472, 274327142, ( -1), 904790170, 390044427, ( -1), 270027063, ( -1), 825314827, 997586785, 572797909, ( -1), 456411072, 840141143, ( -1), ( -1), ( -1), 982417252, 258278680, 900352878, 252969202, ( -1), ( -1), ( -1), 865579817, 462814904, 919734209, 319580795, ( -1), 567458576, 992525884, 83051249, ( -1), ( -1), 864660977, 944560889, 23216190, 49802605, ( -1), 900749698, ( -1), 617930564, 922372135, 952057933, 699350478, 335563444, 885478583, 953092566, ( -1), 179251126, 166528766, 549517293, 940967769, 225194801, ( -1), ( -1), 318836733, 356209758, ( -1), 962688861, ( -1), 77459028, 672357421, 369463184, 93368031, 753276002, 510010183, 356193754, 283918618, 143753122, ( -1), ( -1), ( -1), 664989355, 762023258, 150438702, 881785932, ( -1), ( -1), 893988266, 414886556, 953105966, ( -1), ( -1), ( -1), 44764570, ( -1), ( -1), 6657510, 948324081, 362171749, 21720530, 450939816, 228579980, ( -1), 108657003, 460237461, 254073741, ( -1), ( -1), ( -1), 376794976, ( -1), ( -1), 279508955, 807475430, 828038833, 794009676, 481941838, 220431570, 164156178, 500800105, 988714269, 553970396, ( -1), 666385178, ( -1), 270649145, ( -1), 172004960, 643430515, 56793978, 84683432, 348279485, 839119709, 465789958, 429668891, ( -1), ( -1), 605296107, 262823192, 645544393, ( -1), ( -1), 735030295, 427548834, ( -1), 946666197, 881410971, 222904180, 402839553, 286213560, 229012327, 887146864, 686589583, 15963435, 557067512, 177656902, 630968791, 282010173, 180612212, 141549565, 450932357, 895719818, 453294675, 15125937, ( -1), 63896598, 50909283, 113725012, 10943189, ( -1), 945419505, 792564057, 36829513, ( -1), ( -1), 923152279, ( -1), 364515466, ( -1), ( -1), 654909919, 593941591, 203412311, ( -1), 746581524, ( -1), 217276950, ( -1), 966113409, ( -1), ( -1), ( -1), 217762585, 451902888, 874984631, 630966204, ( -1), ( -1), ( -1), ( -1), 780126585, 947343170, 195801504, 863038536, 798231967, 934523643, 938865601, 833947966, 839923216, 138420814, 912909909, 73751471, 793854391, 75883821, 972688469, ( -1), 629058854, 252625596, 449261255, 689357562, 543145929, 6609389, 3635008, 814953815, 506576276, 886617679, 382457738, 917419112, ( -1), 132868692, 170201606, 977375971, 56339595, ( -1), ( -1), 171494840, 604978308, ( -1), ( -1), 174322929, 262257937, ( -1), 498000399, 751825252, 210381532, ( -1), ( -1), 472967076, 708048638, ( -1), 431116794, 609608954, 356327929, 329395225, 415491002, 14021976, 355312021, 72952969, 306137013, 859191686, ( -1), 758563964, ( -1), 227701499, 344574852, ( -1), 394667435, ( -1), 79517785, 484943174, 23661995, 577884727, 585894852, 346924187, 125316430, ( -1), 880851672, 479534572, 900329405, ( -1), 378634432, 982987522, 384226277, 45827334, ( -1), 979481375, ( -1), ( -1), ( -1), 344612869, 521263840, 566096143, ( -1), 593392108, 358313053, ( -1), 151482299, ( -1), 143443825, 287668201, 621890611, 816107110, ( -1), ( -1), 141254003, 292744691, 469568762, ( -1), 165795731, 616214930, 388053644, 89337400, ( -1), 488263002, 911572952, ( -1), 27869284, 27232943, ( -1), 158580953, 866687687, 301614259, ( -1), ( -1), 855990226, 890960158, 243548594, 14044258, 178210749, 135737096, 284466304, ( -1), ( -1), 217847179, 532827840, 776892458, ( -1), 618713690, 745939942, ( -1), 880231289, 487651644, 422592843, 320141003, ( -1), ( -1), 805293928, 281136990, 250599800, 361614483, ( -1), 314356942, ( -1), ( -1), 272128789, 514689058, 607974667, 753121848, ( -1), ( -1), 262387306, 489184262, 407375072, 347047344, 898746724, 818133676, 314057652, 297392467, 166341245, ( -1), 509656955, 537055036, ( -1), 190496149, 862145282, ( -1), ( -1), 978017192, 8813685, 438958314, 106645597, 761769397, 130975352, 920616640, ( -1), ( -1), 280528777, 659240165, ( -1), ( -1), 777867048, 415324492, 170972707, 434177155, 996340500, 603713237, 929137709, 365412828, ( -1), 190238254, 126508020, 682336192, 805531073, 616876422, 417523727, ( -1), 285817539, 461030740, 338091869, 787647641, 792386617, ( -1), 639610886, 253125961, ( -1), 85578047, 646329628, 930958950, ( -1), 920318915, 358925998, 511377194, ( -1), 41807067, 26124562, 908073954, 826588688, ( -1), 684920389, ( -1), 770767095, 430427541, 990270856, 827689221, 185758898, 969338752, ( -1), 472711750, 563426236, 93651100, 834467505, 439190878, 337387051, 818470280, 731289245, ( -1), 23432231, 232758739, 634745811, 637464997, ( -1), 566769897, 542296542, 512833667, 764178297, ( -1), 732277945, 612628920, ( -1), 59591220, 921872752, ( -1), ( -1), 100407950, ( -1), 920056861, 402666864, ( -1), ( -1), 476696739, ( -1), ( -1), 30791260, 448652915, ( -1), 627283364, 255786068, 427334920, ( -1), ( -1), 567777203, ( -1), ( -1), 824954757, 855441128, ( -1), ( -1), ( -1), ( -1), 555821918, 246741051, 584609343, ( -1), ( -1), 964172564, 15541815, ( -1), 388371111, ( -1), 686078460, 727963792, ( -1), 94085027, ( -1), 691879728, 978887651, 534617666, 918767019, 11522611, 54782866, ( -1), 150281675, 767346424, 120057166, 345874126, 822972533, 612354873, 592153594, ( -1), 572736430, 134950731, 469729643, 211583964, 144589103, 512623443, ( -1), 973785726, 276487673, ( -1), 979034185, 140278679, 162493796, 534280445, ( -1), 896431331, 129622425, ( -1), 169650114, ( -1), 412832516, 659829290, 637619263, 653767954, 158433757, 724548739, 713721452, 396255389, 652232670, 248688480, 447008318, 334156058, ( -1), 627844603, ( -1), 703335472, 293769167, 283146609, 443549456, 168412542, 356144228, ( -1), 929344045, 156767620, 750577784, ( -1), ( -1), ( -1), 621698066, ( -1), ( -1), 164877274, ( -1), ( -1), ( -1), ( -1), 934190523, 133702328, 991263949, 817496057, 812714413, ( -1), 627883182, ( -1), ( -1), ( -1), 332449017, 591613641, ( -1), ( -1), ( -1), 524839060, ( -1), 345891001, 304614531, ( -1), 317611688, 189348294, 373363607, ( -1), ( -1), 938264945, 298708653, 70938638, ( -1), 392137859, 994295273, ( -1), 791987753, 799785169, 939469963, ( -1), 964766559, ( -1), 647405137, 189030102, 991630181, ( -1), 263363294, 85360927, 956122731, 194656850, 358366245, 781479862, 386986800, ( -1), ( -1), ( -1), 101290253, ( -1), ( -1), 322868285, ( -1), 64617539, 91460238, ( -1), ( -1), 934204233, 276253003, 459508202, ( -1), 50018364, 199237321, ( -1), ( -1), 599446204, 591464993, 777915658, ( -1), 789930337, 337857824, ( -1), 563118214, ( -1), 299998548, 697202137, 634669420, 553043227, ( -1), 833110131, ( -1), 329576782, 163136554, 710866272, 845442158, ( -1), ( -1), 929234549, ( -1), ( -1), ( -1), ( -1), ( -1), 228610920, 382397037, 126776990, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 610704348, ( -1), 436842862, ( -1), 732947044, 443797034, ( -1), ( -1), 190136637, 722380835, 678012511, ( -1), 897076709, 560450791, ( -1), ( -1), 276954320, 53180246, 652183964, 696407645, 940439891, 403247273, 486657568, ( -1), 843810884, ( -1), 698354457, ( -1), 614069564, ( -1), ( -1), 820657129, ( -1), 850821091, 778077696, 336101960, 331633522, 928935388, 458621628, ( -1), ( -1), ( -1), ( -1), 899457422, 920501861, ( -1), 518427847, ( -1), ( -1), 680024135, 341421020, 660268548, 565948115, 195685778, 536639731, 638500759, 471255678, 486969171, ( -1), 861010585, ( -1), 994742661, 314633894, 865421914, 138915298, ( -1), 632853491, ( -1), 726917069, 217565330, 934241122, ( -1), ( -1), 445503487, 959709369, 897212176, 991319579, ( -1), ( -1), 756332286, 87301006, 557162446, 51152621, 694767552, 53288749, 897486739, ( -1), ( -1), 737881340, 142784018, 811903447, 707587414, ( -1), 594769615, 37100455, 680514595, 491244920, ( -1), 783815098, 509698411, ( -1), 519638984, ( -1), 425015620, 86861561, 683016225, ( -1), 910310528, ( -1), ( -1), 52975291, 142406860, 553294833, 707418643, 224032027, ( -1), 438385216, ( -1), 816009957, 790061773, 455567050, 355426603, ( -1), 841606901, 639633087, 437462321, 813112710, 301778060, 243227496, ( -1), 960278270, 525074287, 263849340, 356488907, ( -1), 700937055, ( -1), 706505023, 469159264, 920622903, 274698323, 750217574, 290162803, 797858886, 765558915, ( -1), 639588314, ( -1), 652221127, 672218377, 441306763, 450496128, 85721488, ( -1), 334461679, 29449284, 432060940, 605001429, 159313852, 885350552, 482027008, ( -1), 882599937, 674306682, 813080402, 356833197, 973313574, 88348844, 453133284, 852597961, 269548734, ( -1), 40614167, ( -1), ( -1), 66969695, 184302686, ( -1), ( -1), 494171315, ( -1), 926135230, ( -1), 831778076, ( -1), ( -1), 968174269, 76848435, 965165087, ( -1), ( -1), ( -1), ( -1), 295100205, 388199845, 318058367, 192176007, ( -1), 80102121, ( -1), 220628842, 471897443, 451550261, 223621528, 732737615, 822919918, 652186834, 187371116, ( -1), 925080273, 918569574, ( -1), 114987851, 701927241, 120852567, 99284282, 734220206, ( -1), 585929474, ( -1), 680198877, ( -1), ( -1), 443973300, 484361143, 88514562, 707081631, ( -1), 789215098, ( -1), ( -1), 366325602, 1684332, ( -1), 968764553, ( -1), 979020016, 729128750, ( -1), 303120626, 97484892, 725140727, ( -1), 746046111, 87323802, 586757152, 791177980, 434418174, 438641040, ( -1), 843816612, ( -1), ( -1), 326546469, 772522626, 720342856, 158158266, 325223770, 139019637, ( -1), ( -1), 710543868, 557272161, ( -1), ( -1), 764115023, ( -1), ( -1), 675817378, 787792492, ( -1), 29534507, 719103004, 330175406, 946929039, ( -1), 512704147, 314942323, 412899227, 540015145, 261081825, 95598059, ( -1), ( -1), 672672949, ( -1), ( -1), 278159437, 305197826, 247063258, 525345513, 517591612, 770230016, 528232064, 58285321, 791838959, 471262431, ( -1), ( -1), 836818012, 815593106, 702428461, 380231156, ( -1), 813957179, 885858395, 911842058, 739834423, 165427012, 641500073, 156528655, 473077629, 358950545, 997323272, 579581706, ( -1), ( -1), 950900936, 47795691, 745952295, 581542656, 117775286, 545629288, ( -1), ( -1), ( -1), 67226597, 867553485, 289067718, ( -1), ( -1), 210988077, 266389420, ( -1), ( -1), 109318097, 589678511, 361048111, 439689370, 521575957, ( -1), 537346679, 437264739, ( -1), 878940154, 250319259, 38532620, 509671211, ( -1), 453437816, 937825558, 400808369, 149630482, 734007041, ( -1), 588728588, ( -1), ( -1), ( -1), 473747177, 831036486, 974141308, 126211478, ( -1), 372196596, 972697712, 869964568, ( -1), 257843245, 41266699, 263438670, 48935214, ( -1), 75516936, 981159706, 286499532, 348589300, 764446383, 567149, ( -1), 310152126, ( -1), 792301679, 283095347, 283048942, ( -1), 707699424, ( -1), ( -1), 337069851, 244129608, ( -1), ( -1), 879249660, ( -1), 383769618, 433665166, 839074089, ( -1), ( -1), ( -1), 495147919, 143338021, 55512816, ( -1), ( -1), 129261928, 113188471, 482238322, 825677544, 813681539, 730281121, 830052425, 56494278, 292635012, ( -1), 492447765, 968087869, 26204381, 640491700, 966832726, ( -1), 230189290, 180873462, 728437424, 86881442, 405383588, ( -1), 868056589, 241397093, ( -1), ( -1), 194897390, 712515865, 753883549, ( -1), 531105898, 341897904, 677400508, 47084654, ( -1), 891748903, 298793218, 131309890, 786684336, 444218850, 947166767, 587025737, ( -1), 806694233, 608023733, ( -1), 142487558, ( -1), 289612898, ( -1), 528893235, 149767017, 647309312, 367189553, 526553843, 44636011, 670970900, ( -1), 694863361, 790615025, 838715462, 838017385, 865078258, 716853882, ( -1), 549392341, 477175982, 817130393, 696407769, 16218149, ( -1), 574252941, ( -1), 25034784, 24370312, 39121875, 572435097, 331220864, 166455869, ( -1), 670746688, 308977609, 166382236, ( -1), 946089947, ( -1), ( -1), 625289527, 201467954, 127407870, 819535900, 297040392, ( -1), ( -1), 128858260, 401708557, ( -1), 442294540, 569103165, 241681291, 17250273, 311527559, 54179910, 834976533, 953458736, 908058471, ( -1), 875229426, ( -1), 413608757, 922387321, 363751494, 377539228, 507342855, 86132048, 528275519, 674293402, ( -1), ( -1), 619586315, 682248213, 558811417, 261695622, 165913429, ( -1), 40743946, 389523343, 975810514, 884785551, 242821906, 674922594, ( -1), ( -1), 354473941, 472099673, 251363448, 284373612, ( -1), 489558508, 104753662, 914573108, ( -1), 652774537, 55555401, 522736560, 61978449, ( -1), ( -1), ( -1), ( -1), ( -1), 483300431, 239361729, 301639132, 560139333, 618586656, 660129206, 335513499, 232474440, ( -1), 99693540, 660654093, ( -1), ( -1), 855543010, 194140144, 968712609, ( -1), 14954961, ( -1), ( -1), 327324384, 361285151, 124987405, 608016660, 447330298, ( -1), 45475275, ( -1), 931525826, 360032931, 7483667, 893918553, ( -1), 487419932, 588104678, ( -1), 811591515, ( -1), 804579743, ( -1), 710486060, 298999275, 78915620, 265103012, ( -1), 892199979, 748955427, 422916922, 506806121, 655361592, 402327816, 120153780, 685508073, 935122191, 587595956, 662741720, 952873543, ( -1), 985734279, 418020694, 570110310, 283169977, 111393983, ( -1), 482124988, 409685626, 975941979, 404641810, 353421675, 128777307, 404034454, 786395341, 77587680, 981024538, 243633705, 201312742, 163652818, ( -1), 88830715, 259141238, 25061762, ( -1), ( -1), ( -1), ( -1), 312837958, 139197128, 858512382, 671451899, 775566025, 376607240, ( -1), 772632680, ( -1), 932864144, 526114569, 876087783, ( -1), 915867437, ( -1), 526776951, 588977742, 932520089, 111977191, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 202545814, 8778311, 299775899, 558885699, 275321854, 733273928, 529949498, 517368714, ( -1), ( -1), 86818122, 124221691, ( -1), 805300772, 746425303, 192869101, 31539261, 888731916, 947954163, 221698423, 873730275, 296488018, ( -1), 999968190, 767043796, ( -1), 841392162, ( -1), 282808220, 773795457, 77647472, ( -1), ( -1), 853679704, 819615061, 102656024, 576228476, 466845057, 565006166, ( -1), 966002315, 130733829, 831934351, 800834254, 797438725, 129622672, 949549475, 869786195, 425792551, ( -1), 600414605, ( -1), 123556828, 63527129, 242073201, ( -1), ( -1), 68741515, ( -1), ( -1), 81682897, 914819273, 338701038, 877737312, ( -1), ( -1), 835073034, 714692021, ( -1), 95428734, 893879816, 578626815, 935839002, 95479029, 643956299, ( -1), 116791144, 364731976, ( -1), 657500620, ( -1), 141701972, 104494421, 435050572, 342318098, ( -1), ( -1), 219780303, 890004685, ( -1), 265591203, ( -1), ( -1), 256328066, 23265415, 7559896, ( -1), 268674889, ( -1), ( -1), 752462494, ( -1), 838306507, 564746772, 186398524, 549261782, ( -1), 86508271, 667295667, ( -1), 654078779, 427549142, 823342252, 61631470, 724042136, 211493417, 430990651, 347816689, 901028762, 448615084, 725800830, ( -1), 248225935, 64850541, 482508921, 384633836, 351784896, 599846297, 318934598, 759285699, 206098421, 488916414, 545780392, 575305669, ( -1), 74692904, 694987430, 663793768, ( -1), ( -1), 746766978, ( -1), 180142375, 783341872, 712960555, ( -1), ( -1), 306124816, 764090468, 451111282, 176422079, 281501429, 543086323, ( -1), 22630552, 681121705, 762310534, 285255534, 91939913, 111986392, 477263477, ( -1), ( -1), 912510246, 656046161, ( -1), 781950072, 87734306, 983773718, 471772175, ( -1), ( -1), 573527810, 398275903, 123272589, ( -1), 304747843, ( -1), 623043603, 342353935, ( -1), ( -1), 784758006, 668613526, 646258854, 452940393, ( -1), 334611555, 12845212, 526136970, 38564385, 845400395, 471844962, 316980092, 596231494, 577613571, ( -1), 396562090, 8751965, 254995228, 682129312, ( -1), 342897733, 415819041, 853319209, 484528557, 214150760, 662686104, 877648802, 247035227, 999159498, ( -1), 967439372, 596087222, 988676639, ( -1), ( -1), 123813886, ( -1), 200553213, ( -1), 438199054, 468421211, ( -1), ( -1), ( -1), 373283642, 441679000, 240835817, 680509283, 589490319, 22662933, 90090304, 850964671, 915676490, 649561893, 529776994, 566618187, 448977796, 605417052, 967359107, 140297539, 701403627, 793322143, 980841893, 84818670, 196739772, 436895359, 707721571, 127212534, 221879238, 938226923, ( -1), 841945357, 556419172, ( -1), 981169953, 93234559, 877950810, 769030078, 493813514, 72752437, 550959013, 520120549, 271472525, 918426036, 721375979, 676689851, ( -1), 229677835, ( -1), 400646783, 540077966, 538592446, 660793643, 235006215, 884275495, 381966729, ( -1), ( -1), 274559954, ( -1), 965751893, 410789994, ( -1), ( -1), ( -1), 285368138, 631321154, 548538476, ( -1), 752732675, 996542850, 353542620, 845056635, 104880080, 975822737, ( -1), 937805062, 572571191, ( -1), 435773747, 211377680, 344635052, 398042625, 686698971, ( -1), 755644959, 365454927, 979959548, ( -1), ( -1), 991277147, ( -1), 215675579, 892488561, 361707426, 582263481, ( -1), 68558596, ( -1), ( -1), 580052034, ( -1), ( -1), 201173776, 119110736, 162290179, 666899971, 118085236, 930588399, 544394814, 11510819, ( -1), 652845381, 430525400, 347398173, 874359348, ( -1), 24527721, ( -1), 327652313, ( -1), 395310802, 491142419, 853296137, 75793727, 288857762, ( -1), ( -1), 712542039, 504904402, 700122314, ( -1), 841987284, ( -1), ( -1), 581146139, 651320753, 195632616, 535959139, ( -1), ( -1), ( -1), ( -1), 481062598, 531054594, ( -1), 914042038, 280014398, 829915858, ( -1), 696367612, ( -1), ( -1), 662946148, 243028814, 725114302, ( -1), 336868591, 282744822, 75778768, 285983749, ( -1), 772601870, ( -1), 462988122, ( -1), ( -1), 335019951, 32998568, 290971060, 592414881, 220570193, 265337133, 289639784, 207181654, 531781004, 516734700, ( -1), 339112674, ( -1), 690870769, 195554803, ( -1), 880076227, ( -1), 370957769, 601803521, 328489355, 553103107, ( -1), 446486894, ( -1), 987007911, 263153053, 256097854, 708068074, 314556151, 113932339, 991339075, 354350178, 670441426, 105223073, ( -1), 503859085, 465228466, 238282116, ( -1), 596704288, 124789083, ( -1), ( -1), ( -1), ( -1), 195701219, 11946073, 192839921, 643355427, 187058672, ( -1), ( -1), ( -1), 627729549, 337133580, 841516253, 527238068, 503024094, 149881211, 24574224, ( -1), 184788216, 479929444, 862927973, ( -1), 627519429, 86273148, 783408762, 917612267, 900772268, 354316889, 885098624, 498905342, 477285560, 946087657, 457983337, 30919702, 106031104, ( -1), 632744715, 195542562, 688930253, 491156677, 115177027, 425611988, 636786617, 967935504, 374003655, ( -1), 707764087, ( -1), 338849207, ( -1), ( -1), 130862031, 666799145, ( -1), ( -1), 554917150, 596155147, 108511688, ( -1), ( -1), 227368016, 868732865, 123949333, 180324010, 740714837, 158588315, 127889614, 1885366, ( -1), 243703628, 102443418, 471093478, 659145413, 958202722, ( -1), ( -1), ( -1), 435577918, 215998112, 595289093, ( -1), 743573085, 788555206, 764745848, 443325268, 776000902, ( -1), 611027196, ( -1), 90061770, 809632866, 631126428, 263026168, 485249706, 299506089, 184664466, 200193502, 500784647, 877127381, ( -1), 44023875, 32096203, 572747278, 407073582, ( -1), 354218511, 745205429, 737833324, 130356724, 473117083, 241131657, 247383703, ( -1), 42669607, ( -1), ( -1), ( -1), 49426201, ( -1), 609733024, ( -1), 415013170, 109892887, 154927957, ( -1), 560842798, 120795843, ( -1), 636401601, 933638685, 318296700, 569412671, 861374139, 121554885, 585391641, 801829631, ( -1), 861370255, ( -1), 7160237, ( -1), ( -1), 456227685, ( -1), ( -1), 328516211, ( -1), 745755423, ( -1), 609690544, 139485623, 539093739, 970278368, ( -1), 505937075, 589521529, 938519919, 529746567, 201185283, 268660473, 376469152, 276758466, 673316505, 666954247, ( -1), 913552973, ( -1), 382660872, 14335126, 112514124, ( -1), ( -1), 754608918, 259384075, 532873377, ( -1), 256047811, ( -1), ( -1), ( -1), 586758799, ( -1), 733578812, ( -1), 250443624, 555225707, 669879992, 209799213, 539536569, ( -1), ( -1), 641118197, ( -1), 52149432, 78132485, 597038655, ( -1), 166733896, 863738224, ( -1), 158693102, 335237307, 177589888, 1182112, 237301831, ( -1), 253052132, 989953832, ( -1), 906137127, 987123076, 568899543, ( -1), ( -1), 948783466, 852182013, ( -1), ( -1), ( -1), 120194322, 739167856, ( -1), 428309613, 325326975, 536013259, 825070872, 355350764, 998011425, 755018891, 893085777, 831360966, ( -1), 637692986, 636368145, 927870864, 13432352, 57618654, 418953810, 480483211, ( -1), ( -1), ( -1), ( -1), 508185396, 407988064, 815104396, 823965588, 347302338, 995754653, 799916204, 935445042, 905745955, ( -1), ( -1), 239606378, 327868847, 112325183, ( -1), 91684653, ( -1), 238319967, ( -1), 998466640, 26371178, 142674249, 743647784, ( -1), 101045609, ( -1), 629959175, ( -1), 699482426, 806890600, 967119754, 490524950, 532729713, ( -1), ( -1), 838226554, 710072203, 824738604, 769746168, 254636277, ( -1), 47610989, 614425809, 773625614, ( -1), 810319205, 383752751, 489349626, ( -1), 2442933, ( -1), 247065935, 506441030, ( -1), 613978150, 980861556, 759051474, 791424678, 417197400, ( -1), ( -1), 325721367, 75374220, 726051708, 779630761, ( -1), 445561526, ( -1), ( -1), 799805749, 98715357, ( -1), 887323845, ( -1), 569041193, ( -1), 45057466, ( -1), 437272230, 466451639, 824177929, 108931686, 317320479, 560189442, 917138285, 228287829, ( -1), 526062265, 660814504, 153426286, 550519989, 603313845, 300035279, 764867344, 652764246, 301112005, ( -1), 623403921, 660371266, ( -1), 481015298, 646809564, ( -1), ( -1), 857067215, 180729649, 487925576, 815450050, 568071545, 691977989, 215810692, 688796325, 537946794, 415246300, 45152058, 141033498, 340379231, 786057852, 334628125, 33867035, 719904816, 459772155, ( -1), ( -1), ( -1), ( -1), 641158977, ( -1), ( -1), ( -1), 160266704, 343437132, 513156850, 38545387, 493258782, 888551705, ( -1), 772302071, ( -1), 731865951, ( -1), 157751328, 377678857, ( -1), 146300365, 764291533, 666779315, 591668905, 812897182, 55692371, 50001552, ( -1), 335431986, ( -1), ( -1), 21161066, ( -1), ( -1), 765614179, 90045362, 859375138, ( -1), 537803282, 116117165, 356469009, 964328775, ( -1), 815639360, 430246599, ( -1), 471741107, ( -1), 19084751, 795965433, 830605634, ( -1), 406288232, ( -1), ( -1), ( -1), ( -1), 609048546, ( -1), ( -1), ( -1), 717888278, 87468387, 733796278, 948901769, 976435531, ( -1), 467349286, 918672709, 734859769, 107393274, ( -1), 576876589, 325207947, ( -1), 538341291, 999515402, ( -1), ( -1), 940973146, ( -1), 682049683, ( -1), ( -1), ( -1), 455656298, 983582074, 397046976, ( -1), 511803304, 440436301, 51059867, ( -1), 441209374, 430374127, 79949365, ( -1), 956141601, 382621770, 423070292, 739004855, 784839530, 458226621, 808868292, ( -1), 944940834, 810890784, ( -1), 491449662, 529670566, ( -1), 869222750, 978553759, 626865806, 394597380, 533160804, 212679085, 15807428, 183911217, 463368720, ( -1), 585414373, 461600345, 246217053, 154393743, 679173006, 474505819, 611880010, 727417513, ( -1), ( -1), 378018515, ( -1), 135788977, 892854727, 76409315, 375501609, ( -1), ( -1), 482660396, 414327258, 744336837, 571949339, 551291853, 330583323, 46116727, 827545357, 622570975, 740801392, ( -1), ( -1), 863487256, 92111110, ( -1), ( -1), 672446296, 639339508, 390078217, ( -1), 948572324, 362785715, 972095989, ( -1), 100290460, 157611339, 179737707, 798602166, 42283208, 547479349, 86375404, 457274547, 900943033, 600004799, ( -1), 702784625, 823545987, 646817139, 406091381, 767820508, ( -1), 410887497, 3600581, 932645680, 832491508, 102644226, 18951162, 912439016, 961538241, ( -1), 886489714, 412084578, 183794148, ( -1), 439297755, 760785853, 912053889, 649725454, 70847708, 335113243, 511617053, 90241939, 715135185, 566352059, 913201436, 288419044, 834745038, 521255692, 952280870, 847649037, 805630322, 537894097, 473197108, 192900983, 696376935, 493405992, ( -1), ( -1), 225883674, ( -1), ( -1), 85471504, ( -1), 914180559, 242694836, 559119932, ( -1), 132799723, 983495367, 139086044, 900468723, 648632251, 906431466, 914963874, 443514439, 493701667, 892294926, ( -1), 495978990, ( -1), 97756946, ( -1), 116060501, 876109783, 116788187, ( -1), ( -1), 829662210, 410120649, 979513372, ( -1), 41771213, 329841271, 710350110, ( -1), ( -1), ( -1), 821853127, 660091572, ( -1), 236048219, 165906935, 963852438, 903520244, 499219006, 174658664, ( -1), ( -1), 370227381, 969386121, 930583383, 759862189, 167951621, 265068492, 610040726, ( -1), 854386732, 655708548, 145024223, 353780645, 480649302, 424125365, 325203374, 848630484, 480807639, 437850494, 61271963, 600979590, 825180041, ( -1), 70726488, 741085344, 76313505, 739594722, 423044399, ( -1), 903862355, 934620292, 434965458, 4213170, 835222781, 937078877, 809047862, 943834848, 237264263, 774251690, 732735922, 578333754, 281308226, 460933511, ( -1), 653062348, 619544011, 300273651, ( -1), ( -1), 167220267, 804657460, 845777391, 587350267, ( -1), 856574621, 865078689, ( -1), 262075364, 778353440, 679332011, 201214243, 922479787, 37748520, 817448084, 723908835, ( -1), ( -1), ( -1), 960672810, 28441500, 959059937, 76929146, 383863496, 520844475, 872752016, ( -1), 670361638, 989575133, 536772521, 976154760, 981890615, 865093172, 13629884, 267814931, ( -1), 28727570, 837336365, ( -1), 356537223, ( -1), 671764515, 147903395, 619105241, 8298003, 873842236, 923531276, 927881091, 705586372, ( -1), 702750387, 743939053, 620263743, ( -1), 76724247, ( -1), ( -1), 939718608, 39261677, 746073317, 439586954, 732338154, ( -1), ( -1), 381581100, 42157453, ( -1), 982494876, 771133704, 786932306, 409481168, ( -1), ( -1), 484168081, ( -1), 672421877, 546212678, ( -1), ( -1), 629823963, ( -1), 502048312, 651378825, ( -1), 554672248, 601559596, ( -1), ( -1), 91042126, 460280881, 365465987, ( -1), 264791345, 843049742, 501574140, 763154400, 667571535, 846635840, 35779933, ( -1), ( -1), 737350680, ( -1), 663511225, 377662840, 178789725, 500436304, ( -1), ( -1), ( -1), 625167642, 686849671, ( -1), ( -1), 532755838, 497614471, 878666311, ( -1), ( -1), 110604064, 23205022, ( -1), ( -1), 480754646, 900235140, 960864937, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 565345381, ( -1), 130286754, ( -1), ( -1), 791106875, ( -1), 846471629, 416307641, 438349697, 382903956, ( -1), ( -1), ( -1), 864498877, 701928862, ( -1), ( -1), 286850639, ( -1), 410042727, 728423940, 935027694, 801687826, ( -1), 371188685, 357845877, 161479685, ( -1), 891721430, 408944855, 212957848, ( -1), 411968304, 987197380, 860710914, 286717851, 789961208, 431013850, ( -1), 471162085, ( -1), 48756733, 432414193, 840276885, 53515272, 97858082, 936003074, ( -1), ( -1), ( -1), 793116278, 7894171, 928071534, ( -1), ( -1), 701281659, 499417366, 205648532, ( -1), 193031537, 790873038, 606057151, ( -1), 861444721, 530406674, 128847764, 429469504, 146623841, 319510203, 996731743, 869685848, ( -1), ( -1), 724525775, 685933781, 693641238, 5892074, 484457976, 814168676, ( -1), ( -1), 83395686, 183380715, 713208201, 273130163, 329568796, 681658043, ( -1), ( -1), 508694914, 965798184, 702111733, ( -1), 300445708, 744264788, 969398954, 442775262, ( -1), 797457902, 973908777, 515390626, ( -1), 714427791, 680803568, ( -1), 586558865, ( -1), 114757396, ( -1), ( -1), ( -1), 266798357, 410422411, ( -1), 621918272, ( -1), ( -1), ( -1), 569595076, ( -1), ( -1), ( -1), 123144051, ( -1), ( -1), 240024832, 456948839, 39774860, 583997013, 171644142, ( -1), 681692073, ( -1), 721131788, 747356450, 310057921, 743772341, 162106413, 970900244, ( -1), 344533800, 577056215, 458576043, 339383638, 881975296, 650649769, ( -1), ( -1), 568295518, ( -1), ( -1), 323506251, ( -1), 683195053, 74415731, 354592455, 534162749, ( -1), ( -1), 459222790, 877411336, 753935260, 396606444, ( -1), ( -1), 903329350, ( -1), 647604729, 633225538, 548758826, 445676331, ( -1), 869986048, 598783203, 763705130, ( -1), 539566169, ( -1), 785093547, ( -1), 61581282, 435000749, 35294759, ( -1), 881653788, ( -1), 938589322, 123765132, 454708966, 266262724, ( -1), ( -1), 561502535, 588153040, 300575794, 837152465, 607365981, ( -1), ( -1), ( -1), 144573427, 116552983, 844535642, 627390166, ( -1), ( -1), 279071960, 705392265, 713855401, ( -1), ( -1), 273511945, ( -1), ( -1), ( -1), ( -1), ( -1), 405095202, 382873415, ( -1), 528725135, 248429422, 486511338, 635858880, 127782103, 488005445, 894127210, 438312844, 875290416, 180782775, 303114803, 858156236, 475443451, 438356142, ( -1), 403194468, 993320694, ( -1), 178773970, ( -1), 439471868, ( -1), ( -1), 559084047, 385347839, 262560697, ( -1), ( -1), ( -1), ( -1), ( -1), 323626462, 188873254, 742713182, 183321727, 524353659, 505340556, ( -1), 207580599, 992456818, 787838564, 64922590, 73784923, ( -1), ( -1), 229013845, 570683596, ( -1), 526861867, 937804045, ( -1), 714544433, 860741308, 886694903, 367498060, ( -1), 679994594, 997668078, 947257582, 591150227, 445081891, 240340439, 868340849, 261185463, ( -1), 756756315, 75309539, ( -1), ( -1), ( -1), 193512544, 566374711, ( -1), ( -1), 409668507, 846948774, 132942134, ( -1), ( -1), 344618662, ( -1), 332409108, ( -1), 772158161, 805093170, 240524578, 855428002, 314210555, ( -1), 362415293, 948952951, 105617543, ( -1), 545002160, 183677641, 656576633, 843601358, 738376122, 131735429, ( -1), ( -1), 548789532, 407644224, 857492957, 777233656, ( -1), 616650342, ( -1), 786776278, 666175428, ( -1), 610536327, 787704511, 753630594, 473608853, 507887505, 64381243, 186615480, ( -1), ( -1), 42085742, 912945010, ( -1), 410225541, 531679154, 766690854, ( -1), ( -1), 139021528, 614191494, ( -1), 326526443, 560461191, 472630342, 33277899, 534969152, 611405308, 558340357, 595166578, ( -1), 960293378, 587078587, ( -1), 261223439, 288198552, 254161614, 164461691, ( -1), 368801616, ( -1), ( -1), 710733435, 977986876, 741954281, 744503450, 161832162, 58373356, ( -1), 959896791, ( -1), ( -1), 177470778, ( -1), 426052477, 159488318, 377628111, 625249366, 317897597, ( -1), 550325719, 491758075, ( -1), ( -1), 628623682, 301323567, 191112965, 569294650, 573192155, 675503398, 215388696, 221408100, 904420208, ( -1), 907072069, ( -1), 446950454, ( -1), 676425036, 204533282, ( -1), 858261813, 361077952, 305692872, 938707786, 219852434, ( -1), 294496330, 751572432, ( -1), ( -1), 541165128, 926824213, 283270039, ( -1), 622566761, ( -1), ( -1), 207569483, 633667118, ( -1), ( -1), ( -1), ( -1), 103040372, 212523245, ( -1), 996957784, 254975418, 254941862, ( -1), ( -1), 801193235, 626661054, ( -1), 661853235, 721101529, 753222440, 202257776, 11828887, 362341485, ( -1), ( -1), 739925612, ( -1), 715859121, ( -1), ( -1), 896065324, 1604321, 633253003, ( -1), ( -1), 603046771, 50078866, 934923873, 903918679, ( -1), ( -1), ( -1), 860546361, 718293691, 342214333, 949959558, ( -1), 824169450, ( -1), 757544204, 186392112, 564404980, ( -1), 281834770, 779010851, 608020337, 538708493, 609899756, 478372388, 724518603, ( -1), 57560410, 332776876, 445664450, 442025521, 14706812, 302991340, ( -1), 571734484, 856565272, 687836869, 839742321, 849741858, 517767005, ( -1), 996134866, 397878221, 96937416, ( -1), 865766946, 6217035, 904860516, 680453665, ( -1), ( -1), 769257684, 953809702, ( -1), ( -1), ( -1), 387312378, 3869544, 311324378, 829977267, ( -1), 786824136, 814954454, 927231093, ( -1), 315524804, ( -1), ( -1), 776052514, 246238978, 259233352, 625240458, ( -1), 926594961, ( -1), 697248636, ( -1), 874785045, 155957154, 464995508, ( -1), 289740793, ( -1), 470013665, ( -1), ( -1), ( -1), 234269973, 104456111, ( -1), 772142898, ( -1), ( -1), 733928533, ( -1), ( -1), 541365815, 280236154, 525307035, 76033688, 575773344, 602000531, 405376898, 99037411, 254140279, ( -1), 839208907, ( -1), 287262307, 200279415, 460246341, 616168911, 97290539, 527120587, 312495749, ( -1), 705993031, 402018492, 298693142, 980407690, ( -1), ( -1), 942900055, 243666443, ( -1), 190827226, 634404893, 976563685, 194448845, ( -1), 795739813, 475531282, 73923722, 773228901, ( -1), 993365643, ( -1), ( -1), ( -1), 223777284, ( -1), 412096265, 465913723, 324621269, 774633015, 295998979, 830289444, 791173456, ( -1), ( -1), ( -1), ( -1), 359322664, 242048848, ( -1), ( -1), 826329325, 163625791, 529108989, 318914879, 900253478, 851515397, 419181879, ( -1), ( -1), ( -1), 304876063, 751778022, 391339607, ( -1), ( -1), 805783696, 998518442, 754674458, 277899392, 161860684, 687662033, ( -1), 321949517, 725954668, 694849737, 35039648, 888250319, 640100331, 724613984, 197900957, ( -1), 630583511, ( -1), 977093199, 293756349, 847963729, ( -1), 939474289, 200777845, ( -1), ( -1), ( -1), 474533048, ( -1), 558425244, 437949172, 500394215, 343830999, 846897733, ( -1), 216328524, ( -1), ( -1), 825316051, 685920225, ( -1), 969318362, 301631292, 409705345, 153285410, ( -1), 762829350, 402296742, 839861288, ( -1), 830561446, 233973487, 596581609, 316330085, ( -1), 430609745, ( -1), 828843828, 122090271, 374392098, 623916945, 57321235, 802133077, 240471344, ( -1), 90334911, ( -1), 762364552, 596801864, ( -1), 380321120, 530282189, 366478762, ( -1), 97668573, 290418866, ( -1), ( -1), 55625416, 122429619, 106821711, ( -1), 969513274, 729010195, 264932788, ( -1), ( -1), 598819655, 459588127, 481723038, ( -1), 367945147, 233532329, 2346345, ( -1), 817220364, 373671775, 946608379, ( -1), ( -1), 191966012, 821832440, ( -1), 350837142, 965080999, 657179932, 677433711, 856122019, ( -1), 464512430, ( -1), ( -1), 368129847, 18576338, ( -1), ( -1), 948500136, ( -1), 950963429, 526543088, 8072949, ( -1), ( -1), ( -1), 274116055, ( -1), 382890487, 811737616, 810008501, ( -1), ( -1), 879482554, 246292745, ( -1), ( -1), 992237530, 334513709, 723681396, 522186828, 936895468, 864600841, 273211091, 182751240, 989434755, 658420882, ( -1), 303334653, 856672079, ( -1), 844974094, 472388348, ( -1), ( -1), 363311169, ( -1), 953654124, 313623839, ( -1), ( -1), ( -1), ( -1), 32852675, 533747700, 215890393, 829542516, 151220804, 830965166, 810742296, 498036238, ( -1), ( -1), 526607197, ( -1), 649761015, 585020497, ( -1), 84604335, 870602508, ( -1), 107301468, 148284268, 14148230, 41883322, 874916684, 408607392, 856798832, ( -1), 647216406, ( -1), 168768763, 18367716, ( -1), 960155730, ( -1), 654210048, 239000407, 846256115, 551577631, ( -1), 752834728, 244697890, 41264317, 84764037, 827327423, 181061253, 56396194, ( -1), 258436924, ( -1), ( -1), 970246952, 361235933, 201437423, 252709858, 972346063, 23341304, 487310952, 693705096, ( -1), ( -1), 352985814, 875699291, 632059112, 230486387, 771956345, 526594826, ( -1), 150830369, 628571012, ( -1), 196151030, 34254726, ( -1), 667327556, 397313633, 248707350, ( -1), 159976634, 596678807, ( -1), ( -1), ( -1), 718163300, 682855756, 73169202, 791771150, 857815212, 476289140, 400776729, 427553314, 606094464, 317788362, 179905244, 703253347, 85072645, ( -1), ( -1), 384385412, 954599081, 59809480, ( -1), 714841379, ( -1), ( -1), ( -1), 987044892, 441029644, 843133916, ( -1), 428533408, 964900552, ( -1), 839969368, 110309081, 853846083, 180028172, ( -1), ( -1), 82531262, ( -1), ( -1), 557741999, 33314467, ( -1), 28681824, 219133370, ( -1), 108406736, 783521385, ( -1), 191457452, 841741590, 693446281, 845185423, 643662021, 428374182, 922875529, 484902699, 214373882, 52404352, 221643004, ( -1), ( -1), 795073304, 365135469, 960402049, ( -1), 736420936, ( -1), 670613991, ( -1), ( -1), 609145600, 495476627, 142849132, 941590006, 195156387, ( -1), ( -1), 758306329, ( -1), ( -1), 913841047, ( -1), 896426784, ( -1), 136191597, 710087233, 194628489, 5917847, 137320622, 431441280, 886169025, 607260081, 559596809, ( -1), 260565736, 198426731, ( -1), 426946476, 833799906, 186905253, 199602604, 405865926, 639898454, 315251120, 160722357, ( -1), ( -1), 960416287, ( -1), 79021617, ( -1), 27296944, 552836181, 383459179, 523951162, 450009504, 34579571, 383828303, 309229236, 829914456, 702906843, ( -1), 188580685, 703392201, 506792397, ( -1), ( -1), 272371475, 992260581, ( -1), 214022366, 73348755, 897052796, 126884457, 478178781, 181464736, 31805705, 579832552, 793843260, ( -1), 318209110, ( -1), 80405781, 98908946, 657324144, 694225443, 465114906, ( -1), 482192581, 348658413, ( -1), ( -1), ( -1), 793877516, ( -1), 997546821, 945260929, 365768, ( -1), 682935205, ( -1), 979319212, 411286661, 111381769, 401530811, 818426937, 954653989, 810811609, 855495760, 139560374, 426780844, ( -1), 792724098, 919484475, 763492636, ( -1), ( -1), 875506437, 655173768, 664699366, ( -1), ( -1), 941750017, 215625016, ( -1), 688103564, ( -1), 812677933, 646727052, 652451368, ( -1), ( -1), 82337415, 105487278, ( -1), 361152766, 755060536, 792607288, ( -1), 328606669, 170621299, ( -1), 581839547, 247223400, ( -1), ( -1), 403085100, 234942214, ( -1), 517517301, 770940046, 771435804, ( -1), 821642392, 948932108, 622609915, ( -1), 585467406, 272224723, 458487536, 784074852, ( -1), ( -1), 445226198, ( -1), 103318339, 93860675, ( -1), ( -1), 965422422, 294354798, ( -1), 486070953, 676111763, ( -1), 221579527, 83569120, 514531037, ( -1), ( -1), ( -1), ( -1), ( -1), 884738985, 883919253, 768156492, 36393626, 786906717, 261599674, ( -1), 630620319, 255239351, 657297155, ( -1), 640299048, 997193325, 848408572, ( -1), 51942582, 168148847, 755429571, ( -1), 525993377, 21126423, ( -1), 240735266, ( -1), 57631895, ( -1), 151764276, 499802875, ( -1), 231149534, ( -1), 159059109, 711748183, 859687495, 421710003, 708325930, ( -1), 726801965, ( -1), 67646312, 410195901, ( -1), 702849001, 811602963, 9500977, 498298159, ( -1), ( -1), 583035382, 288498209, 575880007, ( -1), 450361896, ( -1), 926921385, 744762928, 325795585, 610673144, 664230976, ( -1), 883701805, 185610964, 459271175, 705588981, 373304249, ( -1), 873988890, ( -1), 997897709, 950496620, ( -1), 583167962, 95146891, 907350007, 727503371, ( -1), 691926937, 897923915, 377937234, 63374810, 217867724, 812796158, 3084791, 416228838, 386792604, 539226666, 642040684, 486868731, ( -1), ( -1), 580224913, ( -1), ( -1), 768372389, 372730958, 749809919, ( -1), 394007474, 900121693, 215858064, 92095421, ( -1), ( -1), 771343360, ( -1), ( -1), 162713641, ( -1), 906660252, 309013779, 277531233, 437805426, 898868733, ( -1), 563057737, ( -1), ( -1), 556059701, 545337825, 238901366, ( -1), 11346159, ( -1), 254770515, 286982505, ( -1), 810720251, ( -1), 975313048, ( -1), 200460527, ( -1), ( -1), 65120954, ( -1), 726224757, ( -1), 565348371, 739257956, 298989477, ( -1), 732665166, 658647784, 138141145, 881044998, 984066749, 114838675, ( -1), 576468926, 884944573, 778566129, 390701312, 556366494, 477044391, 219405211, 859292339, 792162431, ( -1), ( -1), 350268228, 239542944, 297778469, ( -1), ( -1), 817870801, 679567953, ( -1), 381278297, ( -1), ( -1), 127121313, 157570934, 681796463, 724088810, 353647998, 515953542, ( -1), 721134582, ( -1), 585002457, 493630488, 248161267, ( -1), 201823149, 660429162, 3956882, 477364382, ( -1), ( -1), 582487575, 981363485, ( -1), ( -1), 533499373, 342227921, 352885523, 556869386, 897071829, 325853615, 661368152, 202845743, 605963196, 934989684, 553134290, 198545576, 141444339, 511942235, 272151443, 305102859, ( -1), 552706336, 635331713, ( -1), 514532939, 595390873, 513231346, ( -1), 363250178, 448849846, ( -1), 5660082, 206291075, 948866319, 282040679, 927913628, 948140154, 538910811, 594512966, 135962935, 485314915, 948684835, ( -1), 983131462, 104262377, 929699114, 358205217, ( -1), 634091375, ( -1), 230748766, 130304260, ( -1), 602183386, 25363086, 934757389, ( -1), 812159726, 677665442, 221972324, 953563587, ( -1), ( -1), 10880195, ( -1), 432301595, 939864650, 614799400, 711024032, ( -1), ( -1), 50113979, 740589196, ( -1), 857906515, ( -1), 919459733, ( -1), 286213555, ( -1), ( -1), 259582650, ( -1), ( -1), 255166503, 17970741, ( -1), 260125061, 738751585, 128653213, ( -1), 203247404, ( -1), 575382669, 598374766, 334451390, 623576759, 84203197, 710050417, 106080928, 446984413, 825793926, ( -1), ( -1), ( -1), 373772178, 919742074, ( -1), 553510221, 939900353, 609325014, ( -1), ( -1), 39764668, 258580578, 495955125, ( -1), 271091498, 903187454, 803118145, ( -1), 596232201, 323726955, ( -1), ( -1), ( -1), ( -1), 106980792, 854227236, 67525136, ( -1), ( -1), ( -1), 780798861, 738093406, 466607406, 921340338, 953865785, 325921227, 561573829, 557165762, 783655126, 281799561, 399247610, 734163948, ( -1), ( -1), 320554931, 202293325, 468531321, ( -1), 481633585, ( -1), ( -1), ( -1), ( -1), 799484679, ( -1), 146290702, 158178823, 839250219, 597055702, 343347054, 371994800, 811244017, 974458123, 198471278, ( -1), 628009027, 106560128, ( -1), 451724494, ( -1), ( -1), 730792575, 651317205, 7987489, ( -1), ( -1), ( -1), 792705355, ( -1), 203025058, ( -1), 860396102, ( -1), 131243610, 316433228, ( -1), 840881894, 999484377, 210232365, 935464756, 255991167, 870630519, ( -1), 946312950, 500559362, 403211846, 434007286, 137920366, 619162718, ( -1), 678281447, 439239792, 701550473, 927593165, 830992002, 457718098, 949378998, 344616539, 884980064, 825393250, 67183253, 175796488, 792849871, ( -1), 829645391, 537110453, 545238090, 665369956, 778584328, ( -1), ( -1), 286778509, ( -1), ( -1), 946634952, 59051886, 214848659, ( -1), ( -1), 744455902, ( -1), 105047386, ( -1), ( -1), ( -1), 87250913, ( -1), 894396505, 162809035, 770282835, ( -1), ( -1), 986789285, ( -1), ( -1), ( -1), 733547186, 63693075, 569720766, ( -1), ( -1), ( -1), 73085609, 606723121, ( -1), ( -1), 406822940, 945961776, 191071827, ( -1), ( -1), 159669276, 942454646, 599195490, 814874608, ( -1), 993879922, ( -1), 404482492, 731432542, 448941509, 124527187, 91347442, 3136015, 615416068, ( -1), ( -1), ( -1), ( -1), 937759734, 862146667, ( -1), ( -1), 451437438, 702962529, 787754930, 897589470, ( -1), ( -1), ( -1), 751360572, 691595449, ( -1), 463516400, 296558306, 143045223, 845461617, ( -1), 901308743, 369150923, ( -1), 211369662, ( -1), 381420453, 143499513, 341018130, 440537299, 373317402, 545722394, 930626284, 108140790, ( -1), 741242520, 75179873, 171177966, 901063701, ( -1), 876047709, 373601578, 5248608, 507370146, 677431148, 17724312, 771793637, 284667775, 626386361, ( -1), 777277748, 322506387, 729919907, ( -1), ( -1), 768368872, ( -1), 92925297, ( -1), 401896718, ( -1), 770362158, ( -1), ( -1), 55754874, 334029039, ( -1), 165195079, ( -1), 138872682, 222660405, ( -1), ( -1), 201711114, ( -1), 318904283, 183402281, 893013294, 132128850, 822280967, 768527774, 920603779, ( -1), 58948775, 557227391, ( -1), 612305066, 747962950, 339962198, 748372880, 657787001, ( -1), 677338725, ( -1), 230901650, 760037230, 171473902, 509802241, 195293531, ( -1), 882086787, 171774526, ( -1), 776542237, ( -1), 812628991, 892145633, 820941609, ( -1), 145357503, 955507986, 558907680, ( -1), 763297039, ( -1), 392462773, 567510282, 729038822, 516150464, 800347011, 219803277, 207419933, ( -1), 902691178, ( -1), ( -1), ( -1), ( -1), 493772383, 807946430, ( -1), 647546840, 133673314, 722835806, ( -1), ( -1), ( -1), ( -1), 527918121, 316920732, ( -1), 356693258, 91717810, ( -1), 934447951, 786271802, 9490268, 360937544, 972335588, 602108149, ( -1), 733151434, 613408873, 718346760, ( -1), 392606387, ( -1), 973085058, 539860828, 2963190, 306666076, 511562610, ( -1), 460276636, 354587940, ( -1), 794597065, 492036979, 452468749, 315663282, 745715704, 931009965, 839217335, ( -1), 549176938, 408204055, 690963959, 736860280, 506957276, ( -1), 962534784, 567273968, 992186471, 358299359, ( -1), 178424595, ( -1), 959214405, 461664958, 600845897, ( -1), 392054573, 439774363, ( -1), 567531369, 311027381, 32986834, ( -1), 514989192, 268509265, ( -1), ( -1), 126015433, ( -1), 34105469, 397244134, 819022786, 409175691, 624606853, ( -1), ( -1), ( -1), 912056144, 30618281, 194875895, ( -1), 841802607, ( -1), 185169742, 33020945, 353820620, 34038925, 426229688, 169617765, ( -1), 229202216, 316582666, 681295632, 395531048, 238447442, 371300829, 997400876, 806531567, 583127733, 482635129, 309786461, 756992398, 515349804, 300895275, 811790787, ( -1), 136487415, ( -1), 164006968, 194854165, 118249735, 768800548, 992757175, 415755552, 455445556, 554597197, 353118093, 35665933, ( -1), ( -1), 45233851, ( -1), 153143290, 906117608, 427085080, 978962117, 203427652, 160571237, 188336989, ( -1), 935716306, 468435456, 70030024, 504002948, ( -1), ( -1), 721532541, 519897319, 497379488, 763744152, 265231596, 316574745, 681360619, 346659707, 487258063, 233772952, 637291307, 522622030, ( -1), ( -1), 910660752, 709594102, ( -1), 257976763, 753847881, 744025074, 372222864, 702266075, 572168886, 990479614, ( -1), 139665897, 572682141, 807153581, 531496676, 219003048, 372515288, ( -1), 554752211, 735982211, 630369242, 471812686, 233993198, 447608498, ( -1), 45737068, 312083414, 693783465, ( -1), 858245211, 163796834, ( -1), 358963947, ( -1), 724341697, 527399602, ( -1), 881887950, ( -1), 934901631, 413915803, 139159644, 851310185, 457811862, 307759495, 651522188, 199291987, ( -1), ( -1), 434734832, 473948589, 113639821, 910275080, ( -1), ( -1), 153686539, 814471987, ( -1), 393928392, 952685972, ( -1), ( -1), 176254049, 392679437, 819406373, 358718469, 354910706, 827215976, 392354231, 90173930, 609995857, 547380760, ( -1), ( -1), 83441635, 765124504, 312537713, 668200471, ( -1), 93023925, 716993851, ( -1), ( -1), 777959046, 172269642, 487620029, ( -1), 205346276, 938721892, 732306, 842315859, ( -1), 178115473, ( -1), 1913314, ( -1), ( -1), 752401682, 635212533, 397800251, ( -1), 666572734, 538331858, 63939506, 840153822, 498015730, 381577048, 673057730, 701942478, 50815509, ( -1), 99406263, 672854451, 542198708, 874729614, ( -1), ( -1), 727894426, 12580768, 387625096, 181902794, ( -1), 809754117, 963782361, ( -1), ( -1), 861616132, 715212853, 401151400, ( -1), 935624147, ( -1), ( -1), 116474350, ( -1), 167195808, ( -1), 149429567, 12811036, 92852254, 276236348, 524552379, 244010389, ( -1), 685773395, ( -1), 859916829, 851653182, ( -1), 387981211, ( -1), 62336912, 44432896, 199388528, 254076858, 951441686, 618784547, 309132522, 495984301, 460458264, 989289707, 801853712, 383122308, 401190353, 231314953, ( -1), ( -1), 123268288, 952056171, ( -1), ( -1), 991061412, 362568410, 454488650, ( -1), ( -1), 501770891, 341305259, ( -1), 95315379, 71584252, ( -1), ( -1), 44845499, 228972755, 336938950, 426475453, 644275057, 393879019, 227380995, 417084802, 263469363, ( -1), ( -1), 643438467, ( -1), ( -1), 856111077, 655020348, 93146964, ( -1), 9626633, 891569732, 559625461, 514264830, 323234671, 134478702, 413358508, ( -1), 56409236, 472855387, ( -1), 265889182, ( -1), ( -1), ( -1), 209672484, ( -1), ( -1), 688925848, 807689235, ( -1), 993019606, 207158139, ( -1), 825633115, 535951883, 434294493, ( -1), 958291255, ( -1), 674309442, ( -1), 428360897, 162147093, ( -1), ( -1), 327134561, 699064000, ( -1), 734663943, 261859380, 668671863, 491040353, ( -1), 321870398, 824634913, ( -1), 874991786, 272020994, 855761639, 684777460, ( -1), 3481883, 15229178, 796185247, 693903581, 369202326, 811225540, 220346829, 459885032, ( -1), 223259846, 657390723, ( -1), 696154631, ( -1), 785367415, 35600199, ( -1), 104397556, ( -1), 451295560, 868037487, 443579598, 88717346, 753570840, 436531667, 548253397, ( -1), ( -1), 286750488, ( -1), ( -1), 717046298, 259432283, 292903519, 487868921, 322697572, 416348218, 430020556, 592177847, 335795891, 869738217, ( -1), ( -1), ( -1), 112866706, 530508234, 392289888, 461160066, 889065788, 628960847, 453137775, ( -1), 142648120, 616994971, 5920775, 327060546, 48807592, ( -1), 606601126, 224496089, 22084932, 99479701, ( -1), ( -1), 879903728, 626680601, 238810052, ( -1), 780215329, 519655222, 15921326, 462423665, ( -1), 228146000, 576488553, 875331705, 356532234, 604145782, ( -1), 239360610, 485680874, ( -1), 526960762, 37459765, 474540700, ( -1), 173239851, 65384568, 8764175, 219404299, 454571165, 81210886, 57083059, ( -1), 653970187, 95553718, ( -1), 972463156, 542828550, ( -1), 719691604, 739710698, 368223392, ( -1), 735234898, 464136934, ( -1), 458465478, 67221959, 260825599, 185160289, 171775345, 785250481, 302810886, ( -1), 705716890, 2045879, 339975771, ( -1), ( -1), 430630738, 928293759, 844030234, ( -1), 194362441, ( -1), 966176199, 581609674, 243601594, 57463166, ( -1), 945540362, 452263251, ( -1), 57837538, 324905740, 246596990, ( -1), 695226189, 20223583, ( -1), 384827745, 185663230, ( -1), 825969264, ( -1), ( -1), 332361946, 710360986, 655535073, ( -1), 168476218, 881227569, ( -1), ( -1), 617063073, 121894517, ( -1), 858042587, 490803849, 32034650, ( -1), ( -1), ( -1), 297496736, 960399334, 353763108, ( -1), 360658894, 575826157, 838230412, 404123028, 838669577, 77054282, 899919712, 722126729, 759421168, 966643581, 332970537, 640827396, 495487116, 170105998, ( -1), 233741097, 424766732, 851871486, ( -1), 660539053, 888946905, 453079733, ( -1), 922181935, ( -1), 456417145, ( -1), 273102016, 475447246, 706097166, 72140004, ( -1), ( -1), ( -1), 317605389, 979909032, ( -1), 5280484, 304931565, ( -1), 700785288, 407728745, 337749443, 206090363, 221179685, 547332357, ( -1), ( -1), 842643277, ( -1), 880784309, ( -1), 398754447, 860325561, 232428211, 725788480, 468398518, ( -1), ( -1), 549657756, 477212622, 131851597, 616331345, 141512605, 158507659, 343192874, 73675035, 902535064, 314066377, ( -1), 773010885, 41859593, 206923550, 495713540, 42215172, 504187591, ( -1), 358273862, ( -1), 766085465, ( -1), ( -1), 555573180, 455773403, 367571105, 76973056, 317883086, 865142301, ( -1), 416377877, 83930287, 567067693, 318582643, ( -1), ( -1), 406930361, 228037477, 681017266, 954656103, 141090544, ( -1), 351784330, 553714021, ( -1), 611639626, 555955202, 621874056, 6168389, 680109401, 382735963, 598927214, 438022502, 185978737, ( -1), 836404218, ( -1), 320493271, 647091664, 432272050, 415537296, 85608455, 421311324, 96513776, 209493949, 14160665, 765180212, 238278259, 857487520, ( -1), ( -1), ( -1), 563120103, 475587693, 294307998, 574351505, 354729300, 472104471, 87348167, 593505754, 623520445, ( -1), ( -1), 235148207, 381177945, 561980594, 734958169, 939083527, 117272488, ( -1), ( -1), 280372038, ( -1), ( -1), 284521685, ( -1), ( -1), ( -1), 56395973, 757070398, 113893708, 499151342, 343335988, 29768295, 333042385, 446047813, 32308384, 702142725, ( -1), ( -1), ( -1), 122536791, 193299813, 95982411, ( -1), 731588080, 233993828, 888112608, 240817312, 712688674, 817427404, 153413988, 886414657, 539201167, 539916019, 933778550, 720317178, 29664317, 244321794, ( -1), 994344211, 342303798, 856002537, ( -1), 839942916, 167360907, 541075116, ( -1), ( -1), ( -1), 436785525, ( -1), ( -1), 626845869, 873642122, 252821680, 270906827, 365788785, ( -1), ( -1), ( -1), 50301613, 757087950, 265729873, ( -1), ( -1), 963618824, ( -1), 297862418, ( -1), 659293385, ( -1), 703485869, 146810542, 480977031, ( -1), ( -1), 827861548, ( -1), ( -1), 826686475, 872878813, 583489140, 539724166, 198586148, ( -1), ( -1), 548039009, 998960351, 65020436, 765190683, 49031739, 573624543, 247796834, ( -1), ( -1), 792831015, ( -1), 251580419, 565246552, 442097469, 365723466, 740672933, 859176279, 26848079, 297116504, 469402017, 283817754, ( -1), 94337146, 125826654, 163934276, 774483807, 646536630, 423334515, 210963026, ( -1), 746201752, 955259221, ( -1), ( -1), 764661169, 366686340, ( -1), 705199091, 341907529, 211060893, 693837925, 121077323, 328523218, 624156467, 971570306, ( -1), 464049404, 334347882, 897853161, 243112996, ( -1), 145172162, 720500229, ( -1), 200656110, 36627141, 581679005, ( -1), ( -1), 534760596, 584144568, 916576544, 796223550, 318862494, 329381909, ( -1), 962769806, 117021370, ( -1), 901724741, 520353709, ( -1), 547089021, ( -1), 412844677, 816031142, 627619204, 270608870, 110537351, 853208863, 274772553, ( -1), ( -1), ( -1), 805397095, 93640317, 68782857, 278772233, 334406620, 292698413, 404433397, 902494665, 326412483, ( -1), 503236039, 757540648, 686908190, 343962153, ( -1), ( -1), 370545952, 70283442, 873272763, ( -1), 888278504, 352987140, 112299580, 104113826, 981243494, 994289618, 523882314, 376683978, 723429219, ( -1), ( -1), 410845872, 417503068, 179303922, ( -1), 164372791, 52960983, 69097170, 344166034, ( -1), 374397501, 610429644, ( -1), 584640686, ( -1), 296172645, 445808502, 701804444, 691657019, ( -1), 666347154, ( -1), 656422260, 294295714, ( -1), 101176617, 364028439, 508841334, 819660482, ( -1), 993271586, 922319644, 584640117, 225862871, 260802091, 664346869, 104191035, ( -1), ( -1), 791117338, 288036416, ( -1), 337933457, 506416492, ( -1), 709147465, 482226711, 992614307, 308787915, 849327452, 746495067, ( -1), 632499889, ( -1), 73791796, ( -1), 996604474, 39240273, 305873733, ( -1), 587129965, ( -1), 458506186, 5555292, ( -1), 659078478, ( -1), 793289366, 898229506, ( -1), ( -1), 992777552, 393132393, 667884074, ( -1), 282552034, 374063220, ( -1), ( -1), 243286591, 642015790, 467666287, 372213719, 97681371, 979135844, 587883492, 74614416, ( -1), 390122705, 413890776, ( -1), ( -1), ( -1), 525926512, 676181199, 115453456, ( -1), 621704705, 787832533, 284734896, ( -1), 327494435, ( -1), 898917960, ( -1), ( -1), 90203119, ( -1), 33400776, 687992861, 227848165, ( -1), ( -1), 934362308, ( -1), ( -1), ( -1), ( -1), 763880825, 429457948, 109074823, 81652778, ( -1), ( -1), 199999163, 435574280, 955123260, ( -1), 276010620, ( -1), 192519846, ( -1), ( -1), 696102116, 262099895, 282049458, ( -1), 66988311, ( -1), ( -1), 112837549, 591472936, 188234840, 464668918, ( -1), 591083549, 331557076, ( -1), 350079875, 92385543, ( -1), ( -1), ( -1), ( -1), 650425767, 465525863, 98113844, 78389569, 988597145, 981604715, ( -1), 607747677, 786416510, 904993556, 982157819, ( -1), 512086444, 337235761, 662585811, ( -1), 936428928, 905392550, 55505020, ( -1), 333247435, ( -1), ( -1), 718523457, 904239554, 100336654, 907372128, 68318702, ( -1), 905663936, 908685713, 188889976, 344433692, 54090288, 51087780, 149607446, 821379387, ( -1), 563036111, 90097893, ( -1), 4408276, 505097532, 97438873, ( -1), 407719111, 284058295, ( -1), 547551133, ( -1), 762087316, 291083445, ( -1), ( -1), ( -1), 929588992, 633856453, 239905062, 30772957, 120029706, 700120508, 443924186, 362063257, 878358605, 12930062, 491562155, 680467793, ( -1), 379736319, 166799049, ( -1), 364542284, 68365893, 567312964, 232271243, 876337483, 397558972, 631432216, ( -1), 547460097, 888383654, ( -1), 550744581, 418040726, 591601771, 5580543, 183967063, 459106243, 416118297, ( -1), 959856001, ( -1), 484534519, 777704813, 964952374, 800663364, 95488977, 729756198, 536816877, 128861079, 775548088, 785989091, 760589453, ( -1), ( -1), 28730014, 898853232, 823873793, 643496670, 577866048, 331394937, 784533041, 742241821, 711064727, 272125567, 664944968, ( -1), 722702681, 280006477, 958367932, 157743199, 205480542, 523249222, ( -1), 114274883, 323198475, 500786727, 844745945, 352443945, ( -1), 960873521, ( -1), 163127007, 527354844, 799807438, 944144107, 643507567, 826948858, 121124793, 487443122, ( -1), 127812770, ( -1), ( -1), ( -1), 680103457, 342555853, 242291511, 919372096, 196161943, 117101961, 629425451, 385902815, 583185754, 560672453, 556283029, 637570905, 197612943, 856428130, ( -1), ( -1), 386310653, ( -1), ( -1), ( -1), 457991744, 489473789, ( -1), 310992946, 328820023, 488897424, ( -1), ( -1), 353319517, ( -1), ( -1), 735955196, 400226210, 645110695, 429006051, 99899404, 832073733, 446660974, ( -1), 665915634, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 732751948, ( -1), ( -1), 134708641, 204433335, 825828487, 840294573, 355915645, 38309803, 188967370, 218928401, 505941239, 2250156, 867438072, ( -1), 74018210, ( -1), 238040815, 353670836, 124462581, ( -1), 445447189, ( -1), ( -1), 426332545, ( -1), 400132284, 213385359, ( -1), 824866823, ( -1), 704044288, 417554251, 503601368, 790670771, ( -1), ( -1), 724120270, 857957937, 561426449, 43175344, ( -1), 302278067, 61723068, ( -1), 834723187, ( -1), 416223924, 913797344, ( -1), ( -1), 812498942, 105351019, 470035717, 68148312, 722963685, 481110436, ( -1), 101814342, 831708449, 158959218, 823198160, ( -1), 888697575, 295474161, 663615563, 947364568, 559153190, 233061480, 318019947, 829432989, ( -1), ( -1), 843179466, 769897734, 389624729, 669816040, 219610252, ( -1), 188569697, 674880886, 406423490, ( -1), 965297605, 8065358, 349316188, 379432090, ( -1), 381427396, 588851455, ( -1), 64197068, ( -1), ( -1), 403887440, 49939343, 601416321, 544773101, 730653558, 623723832, 937708988, ( -1), 229616674, ( -1), ( -1), 678525628, ( -1), 608165891, 660431276, 298988587, 467562094, 846237043, ( -1), ( -1), 499471207, 984170141, 887996768, 488155878, 91228505, ( -1), ( -1), 908576695, 990333815, 257963191, ( -1), ( -1), 67967796, 140876750, ( -1), ( -1), ( -1), 833701467, 109829165, 82768593, ( -1), ( -1), 823777801, ( -1), 970262353, 676868024, 952729219, ( -1), 608867950, 745186806, 583029349, 407143518, ( -1), 867101968, 227436093, 564436015, ( -1), 924269902, 478236760, 750810386, 253116243, ( -1), 570360806, 806589048, ( -1), 371478135, 958264744, 177400422, ( -1), ( -1), 669992361, 86460418, ( -1), ( -1), 881045100, 20777623, 940669499, 993620867, ( -1), ( -1), 678965509, ( -1), ( -1), 76110915, 731394088, 614015395, 576364112, 444055201, ( -1), ( -1), 941783712, 816766039, ( -1), 224999757, 181320703, ( -1), 711804168, 63735115, 731461515, 843140932, 124530146, 493570295, ( -1), 886320511, 903323176, 309896730, 544761883, 658114718, 250387365, 8345280, 695990404, 905583927, 83092920, 631292157, ( -1), ( -1), 881960185, ( -1), 731154383, ( -1), ( -1), 93231960, 478488327, 505394730, 956053760, 92411347, ( -1), ( -1), 210646901, ( -1), 984231538, 219325689, ( -1), ( -1), ( -1), 585333429, ( -1), 457739684, 997146002, ( -1), ( -1), 937149382, ( -1), 214008607, 861215208, ( -1), 133528441, 268372592, 617482902, 452327173, 706272397, 547991315, 629126288, 305111866, 294554653, 687934704, 196959020, 725477353, 882703839, ( -1), 374347025, 682051336, 254483568, 240687205, 871817308, ( -1), ( -1), 254529621, 265108046, 491718045, 236816525, 250563153, ( -1), ( -1), 500587222, 400573396, 906663091, 500411297, 778246627, ( -1), 344760716, ( -1), 709758027, 631783571, 215684887, 25037186, 225617418, 528031805, 432735582, 101125533, 354242659, 205442152, ( -1), 28203305, 794738087, 301514244, 371331216, 56559108, ( -1), 518178398, 821179267, ( -1), 77871274, 851561180, 801577108, 324471364, 149456366, ( -1), ( -1), 294544114, 898580679, 168929202, ( -1), 215705645, ( -1), 213834743, 993857, 119567130, 653770358, 863111921, 447092044, 163277373, 535102899, 529844904, 789530917, 749305020, ( -1), ( -1), 587629403, 498717378, 551337638, 134264254, 280433513, 570380048, ( -1), 390406858, 863396994, 134708168, 54765186, 701383503, ( -1), 988615450, 513755316, ( -1), 121108925, ( -1), 936032691, 533209493, 523958563, 136426205, 67837625, 352445738, 49850517, ( -1), ( -1), 922482635, 748909005, 819671092, 854730382, 346422982, 58457394, 514351013, ( -1), 407224873, 774680549, 36337690, 152815335, 524029719, 384955329, 789696031, 436004543, 771128934, 400681749, ( -1), ( -1), ( -1), ( -1), 14186575, 829960688, 195616820, ( -1), 542503929, 970344556, ( -1), 202934356, 648566283, 172898843, 156657739, 497079870, 975093632, ( -1), 488321238, 90131701, 7134790, 133817911, 109730425, 468458503, 861447, 104535428, 681979377, 21494933, 222904810, ( -1), 424384948, 154534761, ( -1), 134828173, 225322039, 503638672, ( -1), 822367357, 338050309, ( -1), ( -1), 977911837, 247082791, 101075770, 938247055, 491768477, 21779567, 30983546, 793841907, ( -1), 176630740, ( -1), 11488079, 148467893, ( -1), ( -1), 342218334, ( -1), 105897908, 994504603, 247742387, 780206968, ( -1), 707488887, ( -1), 170790692, ( -1), 517159207, 98136941, 753657685, ( -1), 762446685, 376098922, 182483210, 155885295, 163586419, 808744478, ( -1), 67569023, ( -1), ( -1), 288509222, 513524814, 6857493, 523133081, ( -1), 477310763, ( -1), 167400517, 830329278, ( -1), 983534527, 927677748, 846359093, ( -1), 920010919, 237953384, 103310948, 814066111, 523004959, 98677565, 634793564, 658723640, 562098100, 421779351, 514816545, ( -1), 104965074, 480157020, 739545203, 449487365, 238620310, 814357517, 851958946, ( -1), 186238715, ( -1), 73467032, 876543401, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 496322591, 224179949, 442436254, 291701569, ( -1), 837633735, 673527688, 994114043, 32024397, 637177020, ( -1), 408912004, 665713992, 490309461, 525626137, 746374873, 784477682, 452566116, ( -1), 762009743, 245536565, 167066036, 815500696, 998916579, 905727818, 691291313, 649519087, 996358219, ( -1), 294093099, 657671955, 818115771, 329446789, 662394255, ( -1), ( -1), ( -1), 10775674, 190109078, 716409520, ( -1), 833114972, 582824785, 643120466, 369339318, ( -1), 802166962, 101480808, 860444077, 878147754, ( -1), 53298948, 916078346, 937013831, ( -1), 145518323, ( -1), ( -1), 678796120, 238877818, 933920694, 104682078, ( -1), 375233907, 769548729, 361740128, 96607833, 100021250, 628061298, 872903488, ( -1), 17238280, 257423330, 767460095, ( -1), 709645859, ( -1), 232178182, 732062539, 257388254, 9604506, 849114215, 804382291, 118625724, ( -1), ( -1), 914119195, 823284489, 377133120, 576002389, 668564980, 269255282, 764303958, ( -1), 687001031, 5264955, ( -1), 388459652, ( -1), 219652312, 429337788, ( -1), 251785843, ( -1), 251979225, 950232554, 786096392, ( -1), ( -1), 156423390, 62114267, 614340404, 570551474, 834691032, 427379166, 755178276, 882562109, 557984448, 861722032, 500379257, 71382950, ( -1), ( -1), ( -1), ( -1), 204407126, 175662830, 400934037, 339925941, ( -1), ( -1), 3682351, 168543532, 647787292, 639693151, 353679649, ( -1), 890280043, 845949858, 370439678, ( -1), 401565773, 588202628, 969552144, 383763646, ( -1), ( -1), 986266632, 581564526, ( -1), 625605679, 319746841, 855145178, ( -1), 255791250, 240449257, ( -1), 388109530, 756857240, 921753739, 909661042, 837882149, 756797044, 206522641, 421282250, 289291059, 63145633, ( -1), 788323970, 320177255, ( -1), ( -1), 836948172, 302166187, ( -1), 906194222, ( -1), 68033981, 415489861, 127309621, 277432218, ( -1), ( -1), ( -1), 821954952, 3674535, 979954701, 406205853, ( -1), ( -1), 106576214, 374853817, ( -1), ( -1), ( -1), 643379609, 978067986, 536182652, 383689477, 647623068, 977044474, 769729161, 518508891, ( -1), 758350202, 894387653, ( -1), 710524640, 92267205, 438765990, 677180799, 304458300, 266640817, ( -1), 73214040, 103793614, 927870747, ( -1), 779098070, 82296012, 829834134, 924380306, ( -1), 181864245, 554696106, ( -1), ( -1), ( -1), ( -1), 424978728, 792398525, ( -1), 591298099, ( -1), 429824770, 261601053, 630569471, ( -1), 363269800, 478454664, ( -1), 621772113, ( -1), ( -1), 278752117, ( -1), ( -1), 68028121, ( -1), 381261822, 852810123, 436329269, 945820166, 769620059, 517602163, ( -1), 627264437, 108464791, 657727934, 410315485, ( -1), 888794290, 769255146, 338848485, 646954042, ( -1), 59811458, ( -1), 110756999, 697070604, 194281117, 283867409, 769715380, 107422567, 918183794, 799537425, ( -1), ( -1), 891369110, 695786235, 864857345, ( -1), 397044608, ( -1), 708759797, 723452377, 388513595, 573434621, 988255701, 696188304, ( -1), 609482718, 954753855, 60907516, 203611814, ( -1), ( -1), 47609229, 512653747, 419372178, ( -1), 654015330, 618553018, 584092487, ( -1), 277770598, 827219865, 241906486, ( -1), 391612134, 889364527, 459726846, 951205584, 821246908, ( -1), ( -1), 766777878, ( -1), 359497268, 38971742, 747249097, ( -1), ( -1), ( -1), 73119751, 990691850, 508576597, ( -1), 109989119, 788206909, ( -1), 137859719, ( -1), 290468915, ( -1), 582775651, 735454047, 221383307, 19955028, 943271557, 753616405, ( -1), 536379210, 969773425, 218428192, ( -1), 1963061, ( -1), ( -1), 738565077, ( -1), ( -1), ( -1), ( -1), 887085584, 624859146, ( -1), 142311974, ( -1), 655211575, 536067773, 860663013, ( -1), 534112754, 529194398, ( -1), 810193902, 21484648, 539881313, ( -1), 461420467, 159766709, ( -1), 605079124, 362109879, 790945273, 378493436, 252447989, ( -1), 636068701, 475105477, ( -1), 474400617, ( -1), 891280002, 959664755, 410279189, 365651109, ( -1), 976990811, 254463064, 569395796, 762782268, 333817461, 68580111, 442867523, ( -1), 90616409, 326978895, ( -1), ( -1), ( -1), ( -1), 159698245, 149925691, 69699788, 831520813, ( -1), 510892208, ( -1), 458568166, ( -1), ( -1), ( -1), 897486910, 256988838, 37415056, 48415973, 72340214, 23222518, 227442187, ( -1), 688056859, 743555961, ( -1), ( -1), ( -1), 304458777, 800743521, 708751943, 811381716, 372949056, 537308449, ( -1), 420642395, 55729391, 776340533, 762224459, ( -1), ( -1), 484529712, 705230070, ( -1), 934847399, ( -1), 719325823, 142571414, 264977922, 751522948, ( -1), ( -1), ( -1), 971004735, 279799921, 874982733, 46028190, 925640898, 246149687, ( -1), ( -1), 6257728, 892369031, ( -1), 578504896, 815351022, ( -1), ( -1), 105782621, ( -1), 744614409, 413115554, 952748110, 499845625, 646715472, 758589679, ( -1), ( -1), ( -1), 914935210, 208962672, 158964640, 852548642, 813346288, 837183415, 784306947, 924145817, 659385840, 860508402, 136713927, ( -1), 830835, ( -1), 454680149, ( -1), ( -1), ( -1), 402366082, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 606244410, 748035512, 492209172, ( -1), 209930666, 486954640, 962332169, ( -1), ( -1), 230995046, 37995347, ( -1), 548053482, 777925683, 380573724, ( -1), 550471002, 446865718, ( -1), 919021930, ( -1), 51733291, 100467160, 574717726, ( -1), 425633036, 378512722, 37885828, 646897325, 610869257, 672293690, 739552999, 797064727, 686888528, 463246336, 177445045, 150368883, 941180785, 315063871, ( -1), 653460749, 959672212, 391760482, ( -1), 326642394, 5531249, 982013804, 339082258, ( -1), 295190365, ( -1), ( -1), 88840952, ( -1), 620347541, 847970807, 406098887, 257431696, 156377783, 391314948, 405475525, 272588085, 43883055, ( -1), 720256053, ( -1), ( -1), 280881394, ( -1), ( -1), 398558403, ( -1), 220753860, 933404723, ( -1), 220281244, 408474145, ( -1), 794142997, 379760356, ( -1), 771709397, 433087914, 919383109, 612041517, ( -1), 981032359, 691395475, 304086971, 943069114, 13500742, 905798490, ( -1), ( -1), 346389433, 150203327, 167047502, 671484830, 554685458, 804208053, 7718854, ( -1), ( -1), 842845254, ( -1), 92193016, 118843854, 111062184, ( -1), 840596895, 67167880, ( -1), 612443164, 831652817, ( -1), ( -1), 294218552, 480422303, 177788897, 892003643, 465790727, ( -1), ( -1), ( -1), 277455013, ( -1), 648319672, 704752550, ( -1), 608716398, 346008628, ( -1), ( -1), ( -1), 983994368, 581440404, 509711078, 442420338, 713312504, 320041718, 592645078, 266316693, 305541002, 994034221, 576256271, 144813181, 984836, 399011254, 395348938, 13664711, 87462600, 118188556, ( -1), ( -1), 299600528, 884565195, 550814821, 782898105, ( -1), ( -1), 75988640, 790876147, 360124127, ( -1), 413056142, 436105236, 138228879, ( -1), ( -1), 161005351, ( -1), 403897685, 937346935, 212851296, ( -1), 139019135, ( -1), 949775748, 95636998, ( -1), ( -1), ( -1), 964566360, 354237541, 473991845, 320807516, ( -1), ( -1), 264384542, 60614135, 69220256, 832584069, 699099180, 103938262, 156665658, 248422498, 632173863, 515735262, ( -1), ( -1), 103232816, 200279649, 92042850, ( -1), 763210502, ( -1), 434158685, ( -1), ( -1), ( -1), ( -1), 83470472, 695781757, 553295326, ( -1), ( -1), ( -1), 169957977, 248556560, 620405902, 112542782, 821911359, 611880053, 676730901, ( -1), 832466903, 737752273, ( -1), 655024136, 704466538, 48749334, 868713137, ( -1), ( -1), 951104261, 369678548, 866536489, 650792789, 439600834, 204713106, ( -1), ( -1), 212360340, 815454932, ( -1), ( -1), ( -1), 214642912, 409878680, 564787371, ( -1), ( -1), 289151391, 246853084, 208632339, ( -1), 17093781, 847918269, 279993335, ( -1), 934626833, ( -1), ( -1), 245706286, 975031297, 629807102, 160733992, 973566261, 35575157, 688397803, 519757477, 944097251, ( -1), 245312763, 982904434, ( -1), 255660959, ( -1), 207753292, 882990061, 82460408, 462753329, 400890771, ( -1), 717156245, 366461876, 767492685, ( -1), 777353401, ( -1), 923097841, ( -1), ( -1), ( -1), 354375410, 451870903, 870108210, 638039366, 965315750, 417534640, ( -1), ( -1), 224734552, 386747231, ( -1), 598526145, ( -1), ( -1), 173242595, 525473523, 288860, 659866555, 709079103, 683111281, ( -1), 875857216, ( -1), ( -1), 29415115, 301121705, 836856122, 475144573, ( -1), 300147692, 55659229, 517310178, 717511112, 413786690, 185849974, ( -1), 442860386, ( -1), 610066598, 870727595, 501625780, 995855400, 745741791, 843770948, ( -1), ( -1), 874662441, 823049148, 823884347, 402189735, ( -1), ( -1), 44627306, 105318439, 736286214, 267516806, ( -1), ( -1), ( -1), 210266862, 8892561, ( -1), ( -1), 836974197, 970054760, ( -1), 37141364, 25766922, ( -1), 185936439, 310235822, 580177237, ( -1), 582254606, ( -1), ( -1), 277916640, ( -1), 413665119, ( -1), ( -1), ( -1), 770619258, 523363791, ( -1), 646472876, ( -1), ( -1), 571429685, 31190936, 776488880, ( -1), 145842317, ( -1), 969482485, 485118557, 851585585, 265008494, 804826197, 629208362, 915858849, ( -1), 184225847, 204808561, 291956264, ( -1), 22701027, ( -1), 763574125, ( -1), ( -1), ( -1), ( -1), 553133486, 686699700, 491670576, 494411895, 38244492, 1021764, ( -1), ( -1), 335858606, ( -1), 215368903, 627503771, 528286945, 471598531, 638301221, 937961410, 919524252, 200880320, ( -1), 148388121, ( -1), 259830779, ( -1), 750597260, 842414610, 456285026, 705100532, ( -1), ( -1), 962922914, 426520856, 21800040, 567114684, ( -1), ( -1), 841403208, ( -1), ( -1), ( -1), 173007800, 604282342, ( -1), 459354854, ( -1), 145462338, 349060770, 686217773, 737852689, 87774598, 997152155, 219835525, 624527118, 946550186, 44758972, 632632844, ( -1), ( -1), 969452473, 941336916, 527930556, 63396919, ( -1), 36058768, 216247498, 798395685, 649777436, 592213864, 976470404, ( -1), 600956791, 625290926, 338090041, 813935797, 164023609, 286535775, ( -1), 131802275, ( -1), ( -1), 815881201, ( -1), 950450729, 708654807, 704265643, ( -1), ( -1), ( -1), 706783184, 701059100, 745245482, 625570983, 297419080, ( -1), ( -1), 417552160, 681757215, ( -1), 12382362, 534404483, ( -1), 307946255, ( -1), 396539325, 240862618, 541690686, 391346566, 550380069, ( -1), ( -1), 240598839, 999385065, ( -1), 16031314, ( -1), 253955496, 11747600, ( -1), ( -1), ( -1), ( -1), 151990491, 622278706, ( -1), ( -1), 84185836, 155186992, 879965180, 794652387, 429301623, 469429679, 875170114, 9852009, 744626390, 521748888, ( -1), 830455864, 105210518, 180058025, 43002765, ( -1), 77839614, 776459199, 860150645, 467983690, ( -1), 969047820, ( -1), 123143431, ( -1), 860625354, 5056982, 559814315, 405245052, 260826270, ( -1), 21284247, 281871974, 630650766, 213521402, 393039144, 288605472, 557315143, ( -1), 492119670, 745769670, 271509639, ( -1), ( -1), ( -1), ( -1), 513171149, ( -1), ( -1), 749424828, 150322738, 147912968, ( -1), 744679211, 683711768, ( -1), 542679669, 279389321, ( -1), ( -1), ( -1), ( -1), 378035738, ( -1), ( -1), 276740617, 945969700, 892364601, 515046690, 709096728, ( -1), 462002958, 159958401, ( -1), 935178689, 796463487, 412313851, 583252022, ( -1), 300962861, ( -1), 19737195, 648674127, 42387244, 410119920, 163111500, ( -1), ( -1), 19200392, 868271664, ( -1), 155000367, ( -1), 752582131, ( -1), 44627469, 803773656, 255689202, ( -1), ( -1), ( -1), 275345084, ( -1), 808262891, 32405723, 180983326, 673901748, 515144395, 338572579, 660186999, 445956480, 863574122, 718318557, 232316295, 551927762, ( -1), ( -1), 868646974, ( -1), 917398377, 908055683, 325471473, ( -1), 523024461, 25108677, 475653675, ( -1), ( -1), 14453876, 348901395, 470637125, 303128500, 407678358, 756364423, 575495463, ( -1), ( -1), 828098959, 646536617, 457779129, 627110477, 382078277, 29629348, ( -1), 233589709, 283184666, ( -1), 223278175, 479293008, 854239457, ( -1), 345979598, 264918548, 303336882, 680306392, 135353820, 624943819, 436758300, 348370858, 111266909, ( -1), 426953189, ( -1), 582837534, 455910625, 822996461, 269925241, 195027223, 945500345, ( -1), 913343199, ( -1), 127066, 88527121, ( -1), ( -1), ( -1), ( -1), 160988197, ( -1), 472247242, 259273233, 225222687, ( -1), 482771894, 470448696, 613382, 34067314, 829766314, 894522475, 243305618, 81912909, 282367712, 719096728, ( -1), ( -1), 622915509, ( -1), 753585798, 953153114, 828505387, 102796317, 404742798, ( -1), ( -1), 469496439, 974251719, ( -1), 767797214, 473029300, 336935145, 452195865, 426081086, ( -1), 529952198, 741344904, 258776283, ( -1), ( -1), 137885558, 338159184, 698765693, 693276777, 388035407, ( -1), ( -1), 715283918, 196000652, 673733299, ( -1), 36651624, ( -1), ( -1), 31160400, ( -1), ( -1), ( -1), 820456460, 698146338, ( -1), 926996118, 837882602, 659428350, 153236238, 242414114, ( -1), ( -1), 499616663, ( -1), ( -1), 976900811, ( -1), 466526087, 763625014, ( -1), ( -1), 319484686, ( -1), 820618102, ( -1), 33164135, ( -1), 177755911, 981624855, 628730803, 945521411, ( -1), 426805047, ( -1), 660716035, 754494244, 180555981, 186032958, 254853035, ( -1), ( -1), 404231203, ( -1), 859266493, ( -1), 387997985, 574374514, 612175348, ( -1), 341217897, 688793584, 542401129, ( -1), 242766289, ( -1), ( -1), ( -1), ( -1), 92192771, 159409893, 472906420, ( -1), 370098834, 727626196, 151932007, ( -1), 299411170, ( -1), 36619359, ( -1), 165362459, 8755603, 65503675, 110880472, 336399777, 904154764, 553903228, 871405653, 639528384, 815150802, ( -1), ( -1), ( -1), 194159937, ( -1), ( -1), ( -1), 338977292, 270413125, 999005282, 313210760, 952610672, 1694559, 46657128, 742657418, 896710473, 866868304, 393746917, ( -1), ( -1), 365131448, 890469835, 701092500, ( -1), ( -1), 490201751, 329900862, 824717991, 865222117, ( -1), 926991415, 445888028, 797236806, 257265636, 325336488, 580103309, 292288071, 254066718, ( -1), 665031432, ( -1), 371084748, ( -1), ( -1), 305780302, 245949824, 278227276, 66064033, 574546681, ( -1), 9354006, ( -1), ( -1), 299896424, 311397132, 940364188, ( -1), 181214377, 244503759, 773567858, 823255723, 246594106, 468634318, 966541462, 127774873, 504830427, 778252664, 441401041, ( -1), 856900608, 389962776, 365942981, 985200790, 383747268, 828891936, 965448180, 365744004, 48488335, 950856871, 608680567, 319450124, 238517951, 134609905, 539940847, 272046377, 93596341, 60731654, 808890954, ( -1), ( -1), ( -1), 915123281, ( -1), 970513170, ( -1), 751464328, ( -1), 843761093, 873175140, 150511516, 437931764, 938432328, 788285919, 4267738, 804547064, ( -1), ( -1), 433787252, 238043559, 837387727, ( -1), ( -1), 925183235, ( -1), 671396413, 865680488, ( -1), 331190028, 834861922, 350434565, ( -1), 259335076, ( -1), 191928596, 458163980, 153029553, 441382250, 305721168, ( -1), 326139870, ( -1), 158815289, 262464603, 832883833, ( -1), 526456201, 6320492, 7677839, ( -1), 168676430, ( -1), ( -1), ( -1), 651286666, 236188549, ( -1), 890765861, 568754736, 493728710, 209169126, ( -1), ( -1), 7566549, 315127349, 642895111, 514360861, 982801198, 574345022, 747159365, ( -1), 132561301, ( -1), ( -1), 531483438, 297795214, 868884249, ( -1), ( -1), 648953195, 110094553, 663079867, 444905024, 719191242, 594268584, 776036857, 552728797, ( -1), ( -1), 546450285, ( -1), 372871225, 750744331, 834592547, 351827205, ( -1), ( -1), ( -1), ( -1), 149216829, 401871990, 405542653, ( -1), ( -1), ( -1), 223742326, ( -1), 878162748, 345630155, 754267665, ( -1), 611373957, 208015711, ( -1), 797525055, ( -1), 43173700, ( -1), 708393190, 776354791, ( -1), 367271871, 891203772, ( -1), 250029945, 509783949, 984699406, ( -1), 107770238, 840778912, 382219658, ( -1), ( -1), 410269667, 537204302, ( -1), 176034337, 818179492, 174508911, ( -1), ( -1), 354267143, 62072823, 304996776, ( -1), 589002809, ( -1), 367192286, 118938298, 446910148, 4866639, 949295243, 556328432, ( -1), 315632664, ( -1), ( -1), ( -1), 203643760, 95052822, ( -1), 375243188, 596712797, 448051933, 858856168, 308261964, 622344226, 623072973, 640858765, 146539430, ( -1), 201264388, ( -1), 735715959, 831491871, 30745576, 660657733, 718983475, 746451525, ( -1), 677133817, ( -1), ( -1), 856723121, ( -1), ( -1), 114035476, 880602798, 740348308, 567727314, 331674606, 621024112, ( -1), 748336996, 916719268, 116371274, 611630369, 965647508, ( -1), 590520762, ( -1), 927118157, 292708058, ( -1), ( -1), ( -1), 412224306, ( -1), 295443500, 397521511, 206151058, 253571513, ( -1), 893138961, 127080281, ( -1), 467661237, ( -1), 725868790, ( -1), ( -1), 686401002, ( -1), ( -1), 277987319, 782450930, 104477625, 153626262, 727053518, 675911938, ( -1), 480001001, ( -1), ( -1), 82820515, 468790449, 818845341, 402715559, ( -1), ( -1), 890217891, 991501213, 732895593, ( -1), 458099752, ( -1), ( -1), 817767370, ( -1), 376012505, 844889157, 675760416, 28197980, 183521135, 986642968, 407373224, 674129870, 849095032, 66639714, ( -1), 561362318, 300158142, 994814884, ( -1), 699004994, 770408418, ( -1), ( -1), 958086520, 323729528, 467658381, ( -1), ( -1), 567807074, 84416112, 967803905, 849565416, 115019071, ( -1), ( -1), 500754158, 14312286, 132304190, ( -1), 494903874, 394081725, 392560992, 184350542, 694983498, 473434871, ( -1), 845611311, 905132753, ( -1), ( -1), 238048646, 162165626, 515967262, 700422411, 946700520, 71504389, 752018633, ( -1), 760609823, ( -1), ( -1), ( -1), 95257489, 344051672, 509979040, 92842803, 23024128, ( -1), 174976751, ( -1), 447938599, 927965270, 271311197, 907129925, 839609697, ( -1), 918022932, ( -1), ( -1), 327399540, 372290678, 151908724, 852952767, ( -1), 522570239, ( -1), 581528897, ( -1), 748867167, 275707744, 46285123, 700527196, 224769683, 282338281, 724336515, ( -1), ( -1), ( -1), 288047676, 588539328, 134527079, 43012959, 66170589, ( -1), 749235592, ( -1), 202010670, 898994890, ( -1), ( -1), ( -1), 73525380, ( -1), 221386814, ( -1), 96928038, ( -1), ( -1), 635021124, 421455701, 618074488, ( -1), 677875051, ( -1), ( -1), ( -1), 561097196, 722720673, 500419179, ( -1), 839343410, ( -1), 514887626, 439378635, 23157591, 385898058, 920884323, 769639715, ( -1), ( -1), 307455226, ( -1), 687869494, 507478613, 547680736, 734362277, 800136967, 281890729, 579149934, 207899994, 110611086, ( -1), 403582257, ( -1), ( -1), 427861412, 111578918, 275660599, ( -1), ( -1), 806351899, 762946631, 555219763, 843993377, ( -1), 975774938, ( -1), 970934372, ( -1), 210743379, 317187047, ( -1), ( -1), 105733096, 454937403, 745383457, 707907919, 383306020, 593348202, 928943533, 678135140, ( -1), 550824337, 418936000, ( -1), ( -1), 908951067, 994317557, 750426188, 663320051, ( -1), 303027526, ( -1), ( -1), 40886174, 967529840, 669120740, 373234649, ( -1), ( -1), 331426296, 883841328, 414911819, 146312194, ( -1), 331124720, 636326135, ( -1), 727885985, 50768905, ( -1), 751910523, ( -1), ( -1), 210727748, 662494990, 693453520, 863556151, 346582865, ( -1), 293209481, ( -1), 594286730, 14165335, 973457580, ( -1), 182512946, ( -1), ( -1), 636630582, 954803894, ( -1), ( -1), 927486649, 550366449, ( -1), 143443944, ( -1), 215274748, 649087864, 277837246, ( -1), 389417350, 283286929, 714196638, 276953846, ( -1), ( -1), ( -1), 920426272, 695107175, ( -1), 129109695, ( -1), 421463027, ( -1), 918601480, 17147334, 60103842, 253493873, ( -1), 899257555, 927736508, 230838037, 812055617, 321000009, ( -1), ( -1), ( -1), 117976408, ( -1), 150102974, 112450331, 527829540, 388219510, ( -1), 161549899, ( -1), 106546124, 494357246, 650312372, 639720711, 34873884, 345845023, 513321259, 221287619, 29345461, 41541562, ( -1), ( -1), 446063175, 139430616, 901174694, 44127978, 141950105, ( -1), ( -1), 482737491, 350096839, ( -1), 180367521, 488971395, ( -1), ( -1), 419078794, ( -1), 676740788, 682614700, 525212739, 640747423, 568107531, 426535745, 116763814, 650819604, 397930428, 45145898, ( -1), 578187549, 346755077, 527468540, 391116661, ( -1), 225327606, ( -1), 858714963, ( -1), 743437112, 527659157, 895489741, 35566591, ( -1), 980990954, 545404126, 405887682, 404380928, 778320940, 902976049, 936446942, ( -1), ( -1), 984405386, 938647600, 53043819, ( -1), ( -1), 788539343, ( -1), 672170580, 239925788, 85747706, 672387626, ( -1), 626443106, ( -1), 584415077, 335004956, ( -1), 807938436, ( -1), 848701386, 307798366, ( -1), 540753337, 183633393, 446708398, 972557031, 566731446, 927554848, ( -1), 681661278, ( -1), ( -1), 139240827, 428671973, 380722666, 86997584, 893283787, 978716769, ( -1), 314658556, 595644044, ( -1), ( -1), 200559422, 743600971, 934132115, 257323502, 348804004, 441035962, 864203912, 293119735, 849004329, ( -1), ( -1), 351396682, 432841474, 660009921, 792883830, 782979685, 640240408, ( -1), ( -1), 765800886, 982296883, 164033761, 100759556, 40476493, 246032749, ( -1), ( -1), 284897771, ( -1), 164112237, 59411845, 628318784, 147000755, 691699811, 743781547, ( -1), 779765563, 43353433, ( -1), 647816747, 719056149, 826628023, 893355027, 132912955, ( -1), 36753074, ( -1), 508750548, ( -1), 605664743, ( -1), 649214825, 683561952, 862953827, ( -1), 417150087, 575400687, ( -1), 842448069, 257290260, 875630281, ( -1), 332492431, ( -1), 981540078, 143217648, ( -1), 775719688, 279879953, 107414633, 779160775, 154239103, 288206189, 681201307, ( -1), 863240147, 240758080, 301959290, 940271017, 430281179, 923537669, 450865773, ( -1), 123902122, ( -1), 307419097, ( -1), 518560209, 260206079, 861956403, 167795389, 424980212, ( -1), 374615724, 169150292, ( -1), 565816240, 22412715, 485400085, ( -1), 326232053, 964501825, 407758544, 842184496, 781383209, 966074008, 124942816, 183842147, 74393048, 716781094, ( -1), ( -1), 410488438, ( -1), ( -1), ( -1), 665470091, 124438798, 983534242, 260793086, 357240794, ( -1), 147844457, 125316098, 193777931, ( -1), 532493174, ( -1), 7301235, 111545658, 374784312, ( -1), ( -1), 530866547, 446470141, ( -1), 128077908, ( -1), 423994544, 609297531, 326161336, 463808174, ( -1), 324407172, 681661345, 549329791, ( -1), ( -1), 744391791, 73441587, ( -1), 919442689, 137752160, 703516068, ( -1), ( -1), 711612581, 682095502, 85887352, ( -1), 566009341, 665869342, 381642917, 703430425, 189173628, ( -1), 158665889, ( -1), 442289637, 230214504, 85278594, 704921289, 38202314, ( -1), 920033829, 804853488, 477458495, ( -1), 965222591, 662690633, 20906697, 305669675, ( -1), 62864729, ( -1), ( -1), 722932576, ( -1), 738230963, ( -1), 815911103, 741216129, ( -1), 282442685, 920267894, 881473167, 7092499, 115216598, 756732100, 622940815, ( -1), 146786848, ( -1), ( -1), ( -1), 176543244, 34307726, 513041801, ( -1), ( -1), 479899773, ( -1), 332151993, 424058513, 948640436, 253167658, 295572488, ( -1), 180164485, 618271057, 838216299, ( -1), ( -1), ( -1), 622102515, ( -1), 136883007, ( -1), 528938109, ( -1), 399726192, ( -1), ( -1), 827028267, 742291554, ( -1), 175434815, 507425374, 332835428, 669067573, ( -1), 479023025, 639948643, 512617137, 858706094, 355656386, 121065523, ( -1), 553354360, ( -1), 571356969, 194837504, 45137363, ( -1), 270456702, 241513113, 199390743, 557486700, ( -1), ( -1), ( -1), 704579678, ( -1), 324580940, 513964111, 248634960, ( -1), 62666135, ( -1), 445357452, ( -1), 837396479, 177527661, 513503363, 256379452, ( -1), ( -1), 389154641, 216266499, ( -1), 132124994, ( -1), 10919604, 872411998, 868899660, 911448976, 412189515, 762063439, 426814582, 804934987, 43613963, 219310657, 794354226, 312533378, 911778398, 573384477, 97279830, 527003007, ( -1), 514847702, 526110082, ( -1), 854638544, ( -1), 53849408, 872805581, 143810845, ( -1), 972762968, 25959278, 848716755, 762490428, ( -1), 928934273, ( -1), 388463905, 14115583, 402566345, 150022349, 5584724, ( -1), 13095130, 275336458, 371158245, ( -1), 470200063, ( -1), 580608462, 820113483, ( -1), ( -1), 538209473, 484442243, ( -1), 280867292, 513201795, 688345870, 662752910, ( -1), ( -1), ( -1), 442558988, ( -1), 880987567, 976308166, ( -1), ( -1), ( -1), ( -1), 834555548, 656840103, ( -1), ( -1), 423521293, 56944044, ( -1), 689742653, 937032543, 343791972, 755073639, 349101674, 478704107, 197137925, 274465396, ( -1), 825883738, ( -1), ( -1), 866256174, 65099325, 994902344, ( -1), 561660684, ( -1), 899949575, 290401734, 154749176, ( -1), 478992773, 557138092, ( -1), 625018375, ( -1), 521481054, 289181826, 132828780, ( -1), 288368245, 907790615, ( -1), 999307374, 533423580, 345755343, 417622557, 172714958, 207300256, 216879013, 556419055, ( -1), 105710440, 509192012, 199585231, ( -1), 422786635, 486604168, 269292553, 67755384, 254016082, 71258440, 212570000, 513194761, ( -1), ( -1), 426050674, ( -1), 744438161, 378063063, 38234340, ( -1), ( -1), 612435315, 536528106, 950151991, 891236641, 728223194, 153362185, 366225659, 239737599, 235016943, 893155099, 948796243, 323431954, ( -1), 452454511, 412684845, 707109096, 918400356, ( -1), 790522526, 685650596, 788217131, 238250120, 769630652, ( -1), 253618781, ( -1), ( -1), ( -1), 515777438, 177373247, 408854307, ( -1), ( -1), 325348893, 671189182, ( -1), ( -1), 328349850, ( -1), 603169000, 990927278, 53321373, ( -1), 55391492, ( -1), 667558914, 494202175, 419982012, 262062966, ( -1), ( -1), 305728299, ( -1), 678373633, 977386055, 895428317, 270349773, 165461662, 690838911, 516741495, 659792400, 769181857, 870046455, ( -1), 880128010, 902869849, ( -1), 520247229, 275468399, 817062087, ( -1), ( -1), 931260872, 204329077, 983837835, ( -1), 230416666, ( -1), 322082207, 671622584, 728435048, 596181303, 732191988, ( -1), ( -1), ( -1), 598757616, 392771777, 984409002, 30045481, 23336788, 979446341, ( -1), ( -1), 66378779, ( -1), 509404311, ( -1), ( -1), 475557361, 361813423, 786522008, 827318841, 974468425, 272878889, 417116030, 59073645, 493292738, ( -1), ( -1), 315512057, 958471618, 495723369, 613799858, 50755489, 363773148, ( -1), 750818282, 623649245, 705936007, 296325624, ( -1), 387000954, 413832201, ( -1), 430826677, ( -1), 214022840, 880550606, 68917336, 438484899, 695863089, 435731904, 690200137, 470251787, 885879811, 374982408, 562448806, 969851915, 629938826, 224707426, 854426970, 652990881, 498320325, 51592552, 419088061, ( -1), 606370044, ( -1), 482607927, 271791669, 401747062, 468195661, ( -1), ( -1), 968315302, 658831673, 732195710, ( -1), ( -1), 358621201, 184583548, ( -1), 213182423, 948392754, 100899758, 635133900, 745487911, 639052402, 969486228, 406810358, 967739788, 594823950, 88129243, 884475512, 367897605, 134642061, 265213675, 953350700, 718504842, 593114464, 306838600, 947954981, 733403471, ( -1), ( -1), 295179398, 161547661, 745148062, 14731913, 986224636, 381629232, 666936590, 525862693, 733204028, 158169631, 697440858, 336686589, 513968629, ( -1), ( -1), 764184354, 579038444, 759589799, 660681946, 351915107, 755507011, ( -1), ( -1), 751055206, ( -1), 237955430, 424646045, 555872502, 821248900, 567557267, 557170332, ( -1), 854663649, 798880456, ( -1), 645611923, 906226116, 243703739, 241927765, ( -1), 458191950, ( -1), 235097824, ( -1), 452952092, ( -1), 565815714, ( -1), 111005529, 819352966, 792829765, 237940705, 855629494, 306309775, 16707124, ( -1), 701693910, 225918984, 373352537, 322890071, 957014244, 48327356, 829323120, 409060067, 309573677, ( -1), ( -1), ( -1), 832170669, 414509601, 670629062, 87288415, 215730049, 478395312, 168187224, 868321970, 640151188, ( -1), 282815525, 194339364, 273461466, 372443511, ( -1), 132350688, ( -1), 52153831, 678824680, 24985997, ( -1), 531772428, 60346276, 521784481, 902318061, ( -1), ( -1), ( -1), 841376431, 761838156, 285177893, 200368918, ( -1), ( -1), 224174125, ( -1), 579477112, 684551894, ( -1), 624077949, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 318307740, ( -1), ( -1), 524888532, 206042421, 693370545, 750004139, 277747712, 502630456, 192049948, 262141064, 9193407, 830835739, ( -1), ( -1), 796069601, ( -1), ( -1), ( -1), 573140607, ( -1), 829387395, 674540821, ( -1), 762492247, 292831769, 168008511, 753257917, ( -1), 135744779, ( -1), ( -1), ( -1), 878109656, ( -1), 599796296, ( -1), 1917207, 873295348, 437481337, 812798494, 644658051, 131721236, ( -1), ( -1), 127048188, ( -1), ( -1), 166462115, 823599130, 796559261, 448216558, ( -1), 728886679, ( -1), 743755144, ( -1), 329991020, 69228329, 228416802, 267406284, 922886747, 881562528, ( -1), ( -1), 888897245, ( -1), 374707037, 131186566, 571792133, 403590379, ( -1), 918028033, 461285339, 679084560, 24310191, 730582515, 878265276, 603110906, 350150198, 859221741, 874262523, ( -1), ( -1), ( -1), ( -1), 436932591, 377558693, 941288648, ( -1), 341234987, ( -1), 654331083, 699020870, 940501857, ( -1), 39549353, 245911986, ( -1), 763257906, 724817500, 855022145, 638594708, ( -1), 461613199, 701557858, 397171092, 230393939, 614113739, 923374082, 938814211, 13643886, ( -1), ( -1), 412677097, ( -1), ( -1), 129696828, 586371875, 397429611, 677285972, 679188886, 423661392, 851450105, 919865485, ( -1), 948711727, ( -1), 622148154, 626530124, 194977531, ( -1), ( -1), 935364431, ( -1), 249590289, 624709610, 796137316, ( -1), 834556423, 247441213, 699751072, 995844798, 23275773, 872262649, 183505696, ( -1), ( -1), 348409755, 999545434, ( -1), 263468658, 563463607, 479007661, 985701119, 448162511, 562662280, ( -1), 394748148, 92047036, 937719218, 933104512, 480151310, ( -1), 37921190, 308086932, 434034950, ( -1), ( -1), 447630711, 96041623, ( -1), 777469594, 541732282, ( -1), 493862022, 514921370, 962073445, 828988023, 20310197, 478315151, 38763203, 66504173, 259775485, 120706409, 299811796, 972511907, 933644872, 281083133, 740614235, 763714633, ( -1), 966235984, 894090720, ( -1), 24984568, 960986322, 662956220, ( -1), 785997814, ( -1), ( -1), 191919964, 877299898, 560598165, 881788393, 443935674, 38297159, 357117596, ( -1), 918358378, 839323649, 42615371, ( -1), 189418421, ( -1), 183712623, 829048865, ( -1), 967881312, 383352354, 523591605, ( -1), ( -1), ( -1), 903512710, ( -1), ( -1), ( -1), ( -1), 866424530, 892926362, 38034686, ( -1), 162702340, 329693346, 411111104, 267319643, 750360888, 347895160, ( -1), 399135004, 297188698, ( -1), 266753522, 337042990, 535070692, 745303504, 177403243, 796088277, ( -1), ( -1), 269857843, 144278756, 341603488, 380587242, 93013195, 634924398, ( -1), 952331553, 189152432, 111194893, 985732875, 878785929, ( -1), 625296701, 885203169, 100867349, 123183545, 874178554, 970342205, 743742218, 332959525, ( -1), 650159535, ( -1), 937527170, ( -1), 334346053, 820520072, ( -1), 821683650, 564044087, ( -1), 585427240, 257367940, ( -1), 84783674, 892188976, 824490245, ( -1), ( -1), ( -1), 572763720, ( -1), ( -1), 329387936, ( -1), 13819675, 303421786, 179976703, 658564999, 704726537, ( -1), 827464457, 292919050, 528415866, 438529123, ( -1), ( -1), ( -1), 721209672, 860692231, 597655117, 319772215, 183126173, 198875004, ( -1), 805007671, 809165427, 403122088, 748462648, 489048000, 399078920, 200569585, 224360510, 380872174, 111047237, 672762514, 27989334, 299750490, 287132813, 526716921, ( -1), 626513231, ( -1), 615358765, 240680887, 91039707, 814902355, ( -1), ( -1), 45638823, ( -1), 983198021, ( -1), 469330911, 784456117, ( -1), 792271037, 60660732, ( -1), 909382815, ( -1), 567650909, 228156865, ( -1), 528550565, 527619297, 98961646, 230557288, ( -1), 28577615, 809525474, 652570178, 623867656, ( -1), 388248027, 433049809, 146987768, 863574241, ( -1), 5387282, 464340506, 96590029, 817937846, 554737706, 642750291, ( -1), 111188552, 795004600, ( -1), 797887533, 304958575, 991212847, 19394192, 666518553, ( -1), ( -1), 822338707, 872023234, 234434142, 881473464, 46470678, ( -1), ( -1), 830899611, 513993187, 306946245, 303350225, ( -1), 72868160, 224559545, 613431146, ( -1), ( -1), 149614126, 445666103, 933513658, 266104357, 532076835, 260134434, ( -1), 686936276, ( -1), 376240318, ( -1), 83420897, 355176913, 637654996, ( -1), 971831076, 51313254, 650381835, 143428243, ( -1), 971859046, 864279184, ( -1), ( -1), ( -1), ( -1), 694734375, 226760714, ( -1), 704309283, 858446820, 526185850, 503074105, ( -1), 871402300, 128100860, 675014797, 115443574, 712212163, 962468008, ( -1), 148130952, 951601248, ( -1), 370831855, 103097966, ( -1), 912392095, 24591924, 221202910, ( -1), 430970249, ( -1), ( -1), 891518236, 950501909, 92259859, 831800541, 214327631, 796730553, 582862729, 913754928, ( -1), 489233107, 689340404, 260229040, 569575413, ( -1), 174573091, 964025939, 634192434, 913576223, 529528955, 83961667, 5828905, ( -1), 54167768, 460654474, 723127228, 99487070, ( -1), 948625260, ( -1), ( -1), 902704132, 268388388, 662126673, 967889474, 676003802, 994806318, ( -1), 652787503, ( -1), 173230418, 515862232, ( -1), 794707752, 655259822, 699754149, ( -1), 432481632, ( -1), ( -1), ( -1), 246219949, ( -1), 263829562, 952564445, 634494551, 866693253, 200789535, ( -1), ( -1), 853112798, 511285376, ( -1), 20687036, 467434014, 680219668, 705599316, 318912763, ( -1), 693264554, 217596904, 820550689, ( -1), 695975870, 11388859, 388361297, 52352503, 706377233, 69662503, ( -1), 209806050, ( -1), ( -1), 868381869, ( -1), 996589733, 377754511, ( -1), ( -1), 741036800, ( -1), ( -1), ( -1), 294678349, ( -1), ( -1), 644094048, 659648639, 238423681, 440933931, 931884606, ( -1), 392793063, ( -1), 459229397, 301384532, 479013022, 528834466, 343358110, 631854505, ( -1), ( -1), 379317578, 147489279, 842914903, 326512247, 771831535, 776321567, 438327540, 231614048, 334755909, 97754660, ( -1), 544493269, 788947042, ( -1), 704116731, 771441566, 30627532, 108065539, ( -1), ( -1), 437008370, ( -1), 180783831, ( -1), 724578572, 44100118, 722304449, 741203340, 25147992, 457649173, ( -1), 416717863, ( -1), 242220428, ( -1), ( -1), 989824969, ( -1), 952441847, 708870524, 528061710, ( -1), 388544204, 103521738, 707259918, 567821924, 97185069, ( -1), 227775699, 498970697, 606176304, 583682955, 914981773, ( -1), ( -1), ( -1), 232284824, 425371510, 203697025, 128582580, ( -1), 378756498, 682127848, 463713565, 193858914, 31769762, 673157387, 782401377, 161154007, ( -1), 469822179, ( -1), ( -1), 817769649, ( -1), ( -1), ( -1), 996227269, 348716049, 683951630, 844462939, ( -1), 840204071, 360786643, 945995172, 160302494, 772288679, ( -1), ( -1), 166129522, 17427200, 100484441, 753306794, 150248946, 540414914, ( -1), ( -1), 453416995, 357775220, ( -1), 840116584, ( -1), 179339422, ( -1), ( -1), ( -1), 267421019, 773542375, 632622996, 667718933, 223568329, 31260281, 95691860, 713855122, 684477021, ( -1), ( -1), 80866832, 752672604, 741666894, 503916337, ( -1), 528356851, ( -1), 610451666, ( -1), ( -1), 442028106, ( -1), 747588206, 689889096, ( -1), 534510271, 983164679, ( -1), 64929423, ( -1), ( -1), 770767997, 182750650, 970347003, ( -1), 173374219, ( -1), ( -1), 54628319, ( -1), 69947019, ( -1), 792097827, 558562875, ( -1), 695152695, 686556189, 404518219, 24025124, 324568212, 287647309, 326497708, 842535867, 739354190, 599844946, 363265772, 131455969, 932112229, 567597462, 417534747, ( -1), 802379377, 581303017, ( -1), ( -1), 808937921, ( -1), 747781434, ( -1), ( -1), ( -1), ( -1), 682876736, 439355251, ( -1), 632941341, 185150769, 38699779, ( -1), 361067658, ( -1), 616161693, 799617727, ( -1), 508885231, 952362631, 548235261, ( -1), 433726436, ( -1), 205504235, ( -1), ( -1), ( -1), 916302128, 472922317, 207689014, 620891763, ( -1), 381946477, 318135211, 292867763, 489734471, ( -1), 547790078, 988923200, ( -1), 368046134, 814772507, 264745840, 909373025, 320523824, ( -1), ( -1), 187275322, ( -1), 996228495, 29312587, ( -1), 378644600, 195727535, ( -1), 759749703, ( -1), 565245304, ( -1), ( -1), ( -1), 788558637, 956840009, 176267772, 175202756, ( -1), 423726444, 960365558, 984867448, ( -1), ( -1), 385895607, ( -1), 17883543, 749822404, 935340459, 848465591, 48296106, 893906628, 731315422, ( -1), 749745615, ( -1), ( -1), 206402631, 242967753, 306998147, 180730474, 230589926, ( -1), 168357061, 557878124, 855239625, 565404441, ( -1), 318467451, ( -1), ( -1), 337227791, ( -1), 132621913, 50168426, ( -1), ( -1), 143860794, 902182741, 732889894, 579595719, 128304782, 621895399, ( -1), 399770150, 382245778, 673665629, 549718145, 360582725, 975208921, 783012208, ( -1), 384590045, 117260136, 854420537, 938327832, ( -1), 575140634, ( -1), 344884426, 714433266, 383250238, 706559534, 349483403, 112710451, ( -1), ( -1), ( -1), 916523979, 280895995, 931195935, 597451645, ( -1), 359007094, 177233805, 977559771, 656321416, ( -1), 179557444, 132549967, ( -1), ( -1), ( -1), 146192677, ( -1), 785286349, 609534687, ( -1), 784550865, 348944426, 934775643, 933028783, 430171905, 835010517, 118215872, ( -1), 681695835, 977150178, 620397445, 112551397, ( -1), 520391080, 890904710, ( -1), 325815902, 217131156, 968855167, 660027384, 179311195, 924857642, 471797494, 661962643, ( -1), 65966738, 720883671, 178316497, ( -1), 407628659, 731762869, ( -1), 445647407, 754959703, ( -1), ( -1), 920389939, 533607723, ( -1), 543054245, 947537839, ( -1), ( -1), 533490888, 726569586, 254772602, 654263049, 959574823, 372878281, 827162022, ( -1), ( -1), ( -1), 637269842, ( -1), 827456941, ( -1), 897133769, 35220437, ( -1), 472073184, 951877376, 887567135, 776259662, 530408146, ( -1), ( -1), ( -1), 237076558, 695190777, ( -1), 896453358, 689767711, 73466748, 90835358, ( -1), ( -1), 488073786, 449351649, 162735624, 949518741, ( -1), 974274306, 958909581, 139928315, 568252660, 537271710, 459476719, ( -1), 967762284, 159192599, 227899805, 180564331, ( -1), 776841255, 976047724, 623162479, ( -1), 570433802, ( -1), 634654006, 323006577, ( -1), 582458799, ( -1), 280572582, 468566343, 336563658, ( -1), ( -1), ( -1), 776544338, 99217782, 728779022, 491074726, 242577126, 467457331, 284448209, 529853974, ( -1), ( -1), ( -1), 365523242, 764715792, 673980922, 222890193, 191368892, 764169431, 191081901, ( -1), ( -1), 487096859, 988371537, ( -1), 244803584, ( -1), 996261897, ( -1), ( -1), 761911160, ( -1), ( -1), 607683844, 434695014, 294049520, 346199399, 853931516, 50545593, 654087772, ( -1), 552569591, ( -1), 803670000, 420616799, 296421666, 814060141, ( -1), ( -1), 901929464, ( -1), ( -1), 100749188, 615645760, 239226726, ( -1), 640424843, ( -1), ( -1), ( -1), 553702913, 938373262, ( -1), 70009383, 617324902, ( -1), 159626956, 317799792, 380943765, 455468104, ( -1), 135822661, ( -1), 241253317, 38405462, 978546154, 239955290, 715012471, 221707256, 194966100, 536943863, 44587130, 19010425, ( -1), ( -1), 850677823, 147434376, 183997756, 376130634, 739658274, 216701088, ( -1), 222277836, 556243372, 171607751, ( -1), ( -1), 924000109, ( -1), 817695987, 105202155, ( -1), ( -1), 775247701, 379911914, 872227122, 423774907, ( -1), ( -1), ( -1), ( -1), ( -1), 979832286, 885183960, ( -1), 26477087, ( -1), 967071226, ( -1), 269897817, 773401545, 310130739, 361807190, ( -1), ( -1), ( -1), 934755150, 326446190, 809502337, ( -1), ( -1), 69175656, 220335930, 912471252, ( -1), 438298636, ( -1), 364838584, ( -1), ( -1), 322638966, 774955309, ( -1), 732379473, 471243633, ( -1), 127342644, 952857510, 375130081, ( -1), 330784123, 499734017, 956127727, ( -1), 368327985, 780212521, ( -1), ( -1), 424830833, ( -1), 235057601, 594231767, 730103085, ( -1), 977142678, 576819458, 176298060, 761296651, 989473264, ( -1), 727621233, 802611410, ( -1), ( -1), 512035777, 625840203, ( -1), 116667670, 852977216, 635457799, 845569889, 494457586, 479917079, ( -1), 570050375, 451318712, 367015124, 30383691, 507913199, 537750691, 99706670, 208370702, 640930636, 999203570, 82451251, 736328861, 164910448, 745264030, 616915434, 903718902, ( -1), 453646696, 920884993, 260887024, 638796270, 841901657, ( -1), 370640963, ( -1), ( -1), ( -1), ( -1), 953452640, 746083024, 2140635, 153707530, ( -1), ( -1), ( -1), 741973612, 962846528, 642472108, 198473235, ( -1), 642971955, 488064829, 112777660, 927682416, 976040351, 506126085, 230745956, ( -1), 309908354, ( -1), 854211421, 454660962, ( -1), 665019143, 918057830, 282665824, 915473307, 559223081, 428171227, 812642739, 156224907, 347737150, 412681794, 242961935, 316003194, ( -1), ( -1), ( -1), 617964883, 984530913, 921137843, 222725325, 817518357, ( -1), 993245612, ( -1), 519702740, 910643741, 134971557, 74357929, 6610081, ( -1), 198382265, ( -1), ( -1), ( -1), 634581093, 280359788, ( -1), 906320785, 95844968, ( -1), ( -1), ( -1), 128173250, 179313635, 527375402, 517991642, 637872271, 274538834, ( -1), 242839729, 42075392, ( -1), 823927261, 99846310, ( -1), 804764723, 223860871, ( -1), 797472712, 588391915, 615820276, 798569767, 18780438, 999076436, 272641248, ( -1), ( -1), 772358997, ( -1), 548056948, 497827380, 211420529, 772104871, 529394130, 563097119, 339822308, 282928034, 670858436, 115151039, 541401230, 814953090, 685081386, 220766019, 112583281, 554541354, 735231643, 443930298, 442692434, 737606393, 982261348, ( -1), ( -1), 77880083, 160165715, 914045762, ( -1), 843413478, 556087189, 860044489, 506482845, 319083546, 757481933, 229439998, 590209050, 535703858, 7185257, 415240423, 466779151, 421063887, 540916381, 910517854, 745696909, 8736521, 476094737, 276107095, 106750842, 357621799, ( -1), 129036324, 955146955, 990808015, 653585912, ( -1), 571684513, 649659907, 658927166, ( -1), 338636704, 748365641, ( -1), ( -1), 30239734, ( -1), 910877782, ( -1), ( -1), ( -1), ( -1), ( -1), 842587963, 451339400, 385659715, 559248187, 156177415, 407328343, ( -1), 299398843, 352669868, 763852355, 377309149, 889850387, 122847681, 907846223, 986042112, ( -1), 651355665, 900639044, 590939935, 537281668, ( -1), 505410128, ( -1), 700686967, 594941032, 429483007, 73221849, 57104714, 526151128, 885326896, ( -1), ( -1), 161609386, ( -1), 255521560, 949160270, 980709738, 18186654, ( -1), ( -1), 347880196, ( -1), 901220294, 702019045, ( -1), 633447851, 674597948, ( -1), ( -1), 353157974, ( -1), 187832215, 617148138, 318501090, 658961422, 131726514, 490665802, ( -1), 290975750, 413277679, 427464180, 660170478, ( -1), 802745420, ( -1), 232991921, 438409680, ( -1), 881815528, ( -1), 588767317, 252961103, 277975670, ( -1), ( -1), ( -1), 596394692, 578784481, ( -1), ( -1), 991103755, 472562111, 776536752, 71867614, ( -1), 222935424, 407781090, 319283622, 942404898, 82517568, ( -1), 919472324, 364948511, 284795021, 90386368, 888376686, 967780291, ( -1), 399080246, 135157926, 790962489, 772426826, ( -1), ( -1), ( -1), 30409278, ( -1), ( -1), 744506683, 273571312, 505924621, ( -1), 313464447, 861111556, 208782942, 906121833, 50703329, ( -1), ( -1), 234131319, ( -1), 675803104, ( -1), ( -1), ( -1), 719537998, 227926454, 354379067, 532212135, ( -1), 879549152, 559016551, 931800170, ( -1), ( -1), 383562786, 843719969, 496491187, 599812439, 267850923, 895730970, 774310926, 837648648, 751028510, ( -1), 891540003, 796422216, 688460949, 99185054, 95962646, ( -1), 605830323, 403155954, ( -1), ( -1), 585637343, 944574026, 569798676, ( -1), 760330897, ( -1), 905551903, 315363587, 931496798, 562918505, ( -1), ( -1), 621799043, 699058437, 785264006, ( -1), 315744808, 159722191, 221726928, 347998149, 348365446, ( -1), ( -1), ( -1), 827844481, 556845703, ( -1), ( -1), 345437872, 28003616, ( -1), 613994427, ( -1), 982885499, 807208087, 56012312, ( -1), 246905232, 857123688, 175697861, 887749093, 310848219, 149168813, 341068701, 24433939, 464638845, ( -1), ( -1), 390070745, 623521498, ( -1), ( -1), 519148733, 844198159, ( -1), 114137685, ( -1), 423722064, ( -1), 294608671, 797478752, 596159488, 77746265, ( -1), 545239665, 365040456, 210723131, ( -1), ( -1), ( -1), 913481295, 703748017, 193369290, ( -1), 693670579, ( -1), 393770313, ( -1), 637623644, 852919703, ( -1), 720735202, ( -1), 929728406, 128003335, ( -1), 186608926, 589005814, ( -1), 555977711, ( -1), ( -1), ( -1), 843164362, 85666889, 443089906, ( -1), 92367179, 34664650, 948354359, 485575898, 615894390, 543816217, ( -1), 321032554, ( -1), 281734466, 866042279, ( -1), 686323472, ( -1), 952967566, ( -1), 942925041, ( -1), 82564470, ( -1), 979128941, ( -1), 789665248, 943939477, 330724000, ( -1), ( -1), 276477545, ( -1), 262261167, 166338618, ( -1), 416707378, 916713454, 58109803, 628499117, 514506758, 507125486, 47420673, 241383826, 486325588, ( -1), 186781571, 91103673, ( -1), 198855370, ( -1), 437574592, 929136482, ( -1), ( -1), 435345708, 713074702, 152741965, 674940915, 969932146, ( -1), 24777574, 592695927, ( -1), ( -1), ( -1), 193356503, ( -1), 197117926, ( -1), 259327978, ( -1), ( -1), 817322876, 643929492, 624213777, 374000874, 771166910, 223691357, ( -1), 719157914, 542416018, 379364157, 44556988, 322792189, 724000860, 400187660, 7545136, 957635935, 71836984, 452999652, ( -1), 452504941, 922959756, 451471441, ( -1), 618487744, 463187419, 63109094, 301033724, ( -1), 802179197, 776416254, ( -1), 287704373, 514985981, 767306436, 64243974, 533498830, 4545849, ( -1), 225814264, 22964258, 800980369, 696084715, 331861401, 858554905, ( -1), ( -1), ( -1), 96774222, 34176436, ( -1), ( -1), 570095863, 196932620, 158622637, ( -1), ( -1), 417494016, ( -1), 856266561, 605262973, 641205208, ( -1), 194618055, 18507986, ( -1), 428045856, ( -1), 239436327, 534548295, 447995137, 502252952, 276640662, 271462362, 794811984, 657460800, 350740538, 693527745, ( -1), 967807479, ( -1), 794837127, 120240161, 432184907, 624894925, 954157957, ( -1), ( -1), 331429221, ( -1), 597897212, 844130357, 982071035, ( -1), 511316995, 939664566, 739427674, 503317939, 387902653, ( -1), ( -1), ( -1), 65320246, 439253606, 411251808, ( -1), 364491547, 936364746, 501499914, 382510386, 733397803, 541347406, 558942940, 919471069, 525480591, ( -1), ( -1), 90589509, 847332368, ( -1), 118346744, 699453541, ( -1), 808542581, ( -1), 23196776, ( -1), ( -1), 749796329, 306509906, 997791880, 952223505, 408835065, 182100357, ( -1), 174116455, 96171770, 203715024, 227332350, 845788985, 867072616, ( -1), 768798397, ( -1), 48400460, 264901629, 115195441, ( -1), ( -1), 242835433, ( -1), 795745305, 927307795, 895580840, 105492377, 477144754, 945564785, 366362665, 302128431, ( -1), 487212159, ( -1), ( -1), ( -1), 455883941, 844939767, 519201710, 320810524, ( -1), 21907696, 707499699, 950653665, 255477563, 586272443, ( -1), 674301953, 930740570, ( -1), 821963696, 850940675, 339864088, 528526562, 951968056, 943184718, ( -1), ( -1), ( -1), 14841652, ( -1), ( -1), ( -1), 498342036, 724925389, 329853653, ( -1), ( -1), 305662426, 183842887, ( -1), 436348305, 247546602, 322314766, 332539890, 178592396, 72847623, 461589282, ( -1), 274973900, ( -1), 943059521, 571849390, 381707414, ( -1), 653820356, ( -1), ( -1), ( -1), 54408191, 568491531, 644863259, 231819239, 236427958, ( -1), 742724493, 558330453, 725689583, ( -1), 829196649, 277656836, ( -1), 172574741, 500614282, ( -1), 261845800, 73513093, ( -1), 870487078, ( -1), ( -1), 918286664, 137557623, ( -1), 918761905, 257748609, 440490728, ( -1), 557982842, ( -1), 758302865, ( -1), 344296214, 211847757, 989656712, 572746865, ( -1), 740368875, 149806209, 498768224, ( -1), 266553784, 28554407, 532830684, 958139149, 60248454, 362426909, 509389248, 233718975, ( -1), ( -1), 615038318, 449572676, 308491322, ( -1), 896520506, 165826229, 685964231, 468502849, ( -1), 436054587, 288711566, ( -1), 881965290, 334351639, ( -1), 103904413, 445661055, 236214514, 659993260, ( -1), 164873310, 183074043, ( -1), 902404258, 22371287, ( -1), 595610980, 52348324, 14095254, 346476596, 137719365, 584821124, 882971568, ( -1), 581367714, 676151003, 580263761, ( -1), ( -1), 235208345, 455055971, 520441235, 169923782, ( -1), ( -1), 140323049, ( -1), ( -1), ( -1), 762010331, 503367094, 729834265, 204769117, ( -1), 917244729, 794890179, 105976981, 321406498, 676709308, ( -1), 937703770, 75319267, ( -1), 16659913, 682243874, 123591909, 899154376, 841978218, ( -1), ( -1), 875489482, 294598352, 634068089, ( -1), ( -1), ( -1), 199670193, 34770214, 120460523, ( -1), 214955665, 562499553, 741807970, 173636350, ( -1), 55237024, 703874545, ( -1), ( -1), 46852638, 80756980, 91528856, 419536358, 913549964, 928406534, 877384686, 61825041, ( -1), ( -1), ( -1), 580210844, 62831905, 375201520, ( -1), 990935078, 483481021, 26147798, ( -1), 980514563, 660298951, ( -1), 924378738, 140539516, 81113233, ( -1), 545457709, 108569078, 22028110, ( -1), 233975451, 38006949, 613371235, 58798833, 98654372, 935300811, ( -1), 55945409, 78373282, ( -1), 850585726, 907324776, 137813999, ( -1), 656459945, 595157584, ( -1), 819108170, ( -1), 542415816, 433110931, 47034696, 105705998, 643419959, 993236270, 485222917, 135836763, 540240720, 492266006, 827607440, 634067802, ( -1), 776861775, 496920966, 293499528, 563234454, ( -1), ( -1), 300254662, ( -1), 829791792, 215689583, 128728367, ( -1), ( -1), 996621154, 588637854, ( -1), ( -1), 77374675, 621714180, 896789512, 433517526, 274433834, 510858049, 842162462, 503485764, 634925763, 967949456, 684283995, 781010770, ( -1), 951214809, 199278181, 17446460, 48157959, 305296647, 667316236, ( -1), ( -1), 563490628, ( -1), 32273607, ( -1), 292882243, 108297569, ( -1), 32585460, ( -1), 2080989, 14885713, ( -1), 312260914, 791724342, 268241006, 717293229, 714648760, ( -1), 539035927, 916981767, 370600266, 997239166, 289712261, ( -1), ( -1), 676986260, 746217256, ( -1), ( -1), 483988726, ( -1), ( -1), 585089695, 700129658, ( -1), 244853017, ( -1), 404076260, 595299731, 534790521, 75373834, 195692392, 583830363, ( -1), 310469169, 973263840, 938083715, ( -1), 182655356, ( -1), ( -1), ( -1), 341139602, 741821745, ( -1), 836395263, ( -1), 491390180, 443586501, 298632064, 272397052, 528990095, 273779615, 942722287, 340517583, 174453747, ( -1), 530874817, 401966263, 324916122, 132303301, 484189459, 882130867, ( -1), ( -1), ( -1), 613680977, 919315698, 765885418, 590939017, ( -1), 278278380, 346883999, 456871128, 60739051, 565501462, 593807266, 897759405, 803114631, 308984555, 647621140, ( -1), ( -1), 691325414, 512199943, 829087606, 194048162, ( -1), 124591550, 640615051, ( -1), 465654775, ( -1), ( -1), 330668948, 238842579, 982923829, 566489924, 253316689, 935722798, 463108245, 474249896, 988787250, 71024315, 536861797, 403701144, 9086635, ( -1), 813964015, ( -1), ( -1), 405274408, 71805351, ( -1), ( -1), ( -1), 661602707, 393831646, ( -1), 696211671, 833303850, ( -1), ( -1), 110877875, 42480834, ( -1), 596924426, ( -1), 345623218, ( -1), 622619926, 396664861, 830611533, 6398155, 447941322, ( -1), ( -1), 943856787, ( -1), 501723678, 913341122, 404526762, ( -1), 425240605, 357599592, ( -1), 503202438, 282865950, 905434714, 954865423, ( -1), ( -1), 585884497, 572783195, 727734831, 158551983, 523310296, 185002636, 804463186, 419823529, 497570089, 906826636, 298261693, 271882453, 429404699, ( -1), ( -1), ( -1), 435454326, 427002412, ( -1), 950972907, 550569987, ( -1), 881341846, ( -1), 24369315, ( -1), ( -1), 976039423, 399431310, 364236052, ( -1), 959600787, 649990118, 837727874, 343309914, 66569630, 670996330, ( -1), 587620750, 150411013, ( -1), 637179281, 853621935, 479162953, 849303241, 23403193, 107306485, 538300415, 749563080, 486881938, ( -1), 148738498, 260019491, ( -1), 28849086, 627113918, 651803906, ( -1), 538329280, 724196188, 509191865, ( -1), 520916947, 571222418, 377075930, 706734040, 904943961, 986314697, 735020963, 293759642, 382442665, 909115763, 670382283, ( -1), 196822418, 312603406, ( -1), 741356382, 197928057, 558242228, ( -1), 833942455, 60478597, ( -1), ( -1), ( -1), 238719451, 21585828, ( -1), 420293002, 96719084, ( -1), 152261167, ( -1), 934601068, ( -1), 516128018, ( -1), ( -1), 231624333, ( -1), 281288655, 979433378, 541490568, 436844139, ( -1), 684163283, 2078314, 692513417, 712128486, 228042722, 39026348, ( -1), 905375958, 245829884, 830432119, 417429281, 592435782, 37603521, 868849283, ( -1), 864329550, 934706043, 486464406, 921113331, 910467435, ( -1), ( -1), 269173298, 967426297, ( -1), 271875123, 470012912, 881548754, 638797590, 567519179, 866044934, 946197879, 816335102, 707284392, 952088586, 830405068, 313949873, ( -1), 378567010, 790006418, 243598362, ( -1), 108166233, ( -1), 102855382, 263934005, 492992849, 992955939, 389607530, ( -1), 153762108, 595400725, 172972800, ( -1), 248005080, 250272179, 694883647, 932967481, 132012882, 257256437, 283717046, 864791693, 14913856, 929080508, ( -1), ( -1), 970650934, 634274833, 362581701, 430929661, 443759967, ( -1), 39959600, ( -1), 716839699, 842778372, 851220922, 136200582, ( -1), 570962173, 38325513, ( -1), 221156852, ( -1), 143519245, ( -1), 694220111, 534192054, 302984276, ( -1), 216587549, 296982987, 894541799, 144750422, 395852096, ( -1), 119928920, 231819916, ( -1), 555859982, 816387304, ( -1), ( -1), 318196913, 853140125, 19517643, 236233173, ( -1), 102732914, 971764453, ( -1), ( -1), 271054105, 958326420, 539408411, 268753839, ( -1), ( -1), 195156494, 175028921, ( -1), 621186453, 120998562, 979583277, ( -1), 292690127, 686091664, ( -1), 910850155, 242255775, 362330019, ( -1), 469386462, 933445588, 207613449, ( -1), 232632679, 922713117, ( -1), 360286866, 198568763, 301212678, 393749293, ( -1), 802913992, ( -1), ( -1), ( -1), 686440296, 394726137, ( -1), 73065616, 113093239, ( -1), ( -1), 338565968, 814188767, 519184534, ( -1), 404473140, 267664316, 232741312, ( -1), 804925295, 260933432, 1913090, ( -1), 980340414, 40361345, 405275023, 462069464, 930774147, 258538947, 483844792, 664698630, ( -1), ( -1), 545373389, ( -1), 740718941, ( -1), ( -1), 489431835, ( -1), 65452344, ( -1), 64363985, 585316641, 355220728, 249861640, ( -1), 351725930, 644615511, 628418648, ( -1), ( -1), ( -1), 320942898, 85449676, 687968444, 328567150, ( -1), 964180271, ( -1), 398110271, 720780917, 457502353, 579901541, ( -1), 742068599, ( -1), 425610452, ( -1), 553755597, 865322792, 551552724, ( -1), ( -1), 938709325, 231162084, ( -1), 634961788, ( -1), ( -1), ( -1), ( -1), ( -1), 989880374, 639597446, ( -1), ( -1), 630281867, 536240160, ( -1), 949386623, ( -1), 834953583, ( -1), 470497247, 984723548, 972779698, 423581862, 679830250, 748845724, 538713445, 150901472, ( -1), 333886292, 28342426, 812595143, 908338994, 388516659, ( -1), 694406508, 835641596, ( -1), 706423625, 45860826, 657339459, 911734236, 930755109, 460857215, 478940183, ( -1), 100260929, ( -1), 865806988, 763074149, 265866480, ( -1), 179047059, 404538442, 483272551, 989309263, ( -1), 955802200, 76305074, ( -1), 739452784, 702610943, 3637536, 153475975, 772628668, 38767977, ( -1), 155406903, 368355552, 778145869, 346757657, 673944533, 653806784, ( -1), 286019144, ( -1), 145910623, 986666075, 583656891, 204864506, ( -1), 103601511, 545464150, 523921857, 229540547, 829189728, 248622435, ( -1), ( -1), 631194906, 997940452, ( -1), 354961308, ( -1), ( -1), 316983764, ( -1), 846869030, 766758946, 492106625, 41984981, 865036940, ( -1), ( -1), 44093559, 469193392, ( -1), 526286928, 450262218, 256795452, 733941465, 977498161, 928142260, 328513018, ( -1), 408447020, ( -1), 782491313, 57660611, 833805208, ( -1), 509991757, ( -1), 846214392, 468556546, 342211257, ( -1), ( -1), 919200023, 473949949, ( -1), ( -1), 626623303, 915043358, 369282286, ( -1), ( -1), ( -1), ( -1), 622140715, 214280187, 156391382, ( -1), 278192098, 282373262, 635497854, 423285615, ( -1), ( -1), 501730970, ( -1), 780507803, 11245113, 80903024, 375783697, ( -1), 736352779, 577148919, 101671501, 61549536, 174480575, ( -1), ( -1), 754069731, ( -1), ( -1), 120834369, 608667767, ( -1), 454037541, 904727456, 436655253, ( -1), ( -1), 10220836, 709198746, ( -1), ( -1), 819709933, 826357336, 962961350, 383773559, 695107756, 606177847, ( -1), 542005852, 365254383, ( -1), 285479074, 539677211, 422772514, 40190171, 269212620, ( -1), 485402992, 895367571, ( -1), 216973858, 642878715, ( -1), 597407225, 992768095, 180678553, ( -1), 173313796, 676367105, 246208729, ( -1), 366777769, 971884598, 225216845, ( -1), 414353452, 523748678, 787733748, ( -1), ( -1), ( -1), 303510036, ( -1), 783569234, 74958648, 907802560, 663066574, 946538584, 950031670, 146122030, 214398788, ( -1), 338896423, 818964469, 459783821, 530834149, ( -1), 282468483, 8125481, ( -1), 529204910, 523813105, 776080419, 765306548, 840936082, ( -1), ( -1), 834492041, 542056232, ( -1), 103664469, 839226173, ( -1), 105359024, 340257289, 343110563, ( -1), 690455916, ( -1), ( -1), ( -1), 519589088, 811837973, 836158083, ( -1), 389889727, ( -1), 746832595, 91336040, 955137042, 954693688, 471324880, 899051578, 211264002, ( -1), 25950855, 878413995, ( -1), 642660326, ( -1), 847323089, 927725963, ( -1), 306144925, ( -1), 259269727, 101108465, 741831218, 965220699, 725455180, ( -1), 891510531, ( -1), ( -1), 409959612, ( -1), 790877895, 634195420, 380299084, 704245377, ( -1), 792542427, 471861079, 644086729, 369132075, ( -1), 808678352, ( -1), 719932745, 854201241, 888009006, ( -1), 150997366, 243262672, ( -1), 66916149, 814502463, ( -1), 804103164, 356671377, ( -1), 20732694, 500983036, ( -1), 639955243, 128025095, ( -1), 212718697, 663700415, 172188, 760153474, 821824762, ( -1), ( -1), 155599242, ( -1), 911877372, 692907498, 178254292, 878155434, 456456832, 901832995, 659349579, 967242323, ( -1), 641733809, 329068269, 78687375, ( -1), 540981254, 486166871, ( -1), 780764166, 717471384, 867918901, 872533552, 993510851, 167305884, 159029579, 748719718, 6579240, 499015745, 709337253, 30782726, 471446233, 153397983, 762385485, 241753886, 887378553, 893158058, 764652411, ( -1), ( -1), ( -1), ( -1), 118763095, 118978838, 265816127, 267281813, 678498331, 123538421, ( -1), 573209112, 514013482, 760104448, 127956632, ( -1), ( -1), 590063378, 62852233, ( -1), 440590412, 830810780, 398378909, 395323411, ( -1), ( -1), ( -1), 329157854, 973380148, ( -1), 51854831, 575157111, 896703807, 619940920, 704793217, 34624632, ( -1), ( -1), 975683712, 772631252, 116793683, ( -1), ( -1), 63622679, 205291346, 821231152, 704950232, 633910385, 867886433, 291259544, 938308880, 320021762, ( -1), 747971503, ( -1), ( -1), ( -1), 469705802, 51230556, 540016001, 435373133, 822842253, 805053624, 937537945, 585462976, 779274240, 77373539, 196852788, 821890306, 545461582, 835736404, 706373803, ( -1), ( -1), 400115697, 69266419, ( -1), 457270802, 269137808, 79962976, 663370424, 135400731, 726600079, ( -1), 480270497, 247155298, 912432074, 796358139, 39643240, ( -1), ( -1), ( -1), 204640987, 310460296, ( -1), 137377062, 680650347, 770527850, 851679500, 699565551, ( -1), 496530600, 145631248, ( -1), 771502074, 557134763, 901858633, ( -1), 977816558, 706926546, ( -1), 998755297, 833147581, ( -1), 570148662, ( -1), ( -1), 659845902, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 538592926, 509453962, 600872983, 698054143, 638959993, 41950618, 768665180, 929980200, 117509814, 222649359, 351818783, 387903403, ( -1), 929567911, 866200752, 440164707, 561101134, 361367951, 780603892, 375823186, ( -1), ( -1), 549306039, ( -1), ( -1), 388612193, 412796567, 430316656, ( -1), ( -1), ( -1), ( -1), 797232808, 41947292, 869047597, 334646516, 754854482, ( -1), 248947972, 792217488, 402130590, 843205493, 300396535, ( -1), ( -1), ( -1), 359612410, 860541539, 215990495, 616246998, 107731030, 7374843, 987257202, ( -1), 635952847, ( -1), 903261801, ( -1), 629345314, 64370493, 399357821, 760240667, 644984459, ( -1), 299719000, ( -1), 681017414, ( -1), 203444431, 139806000, 431859099, 757378528, 403564509, 789678443, 905335019, 629146738, 862134451, ( -1), 933772722, 195184756, 293839582, 461615643, 893488469, 263826077, 574731492, 806133863, 745136384, ( -1), ( -1), 719194626, 505301805, 722607547, 734129665, 591209731, 107718253, 252223749, 568245471, 778996369, 87101463, 48984248, 762976538, 357471943, 31874100, 368271807, ( -1), 468661936, 538038497, ( -1), 232184542, ( -1), 756807537, 480647925, 121292555, ( -1), 2557495, 253037336, ( -1), 927626344, 140449023, 118889980, 266334380, 322303553, 602077306, 332849459, 358940450, 413880633, ( -1), 721771227, ( -1), 310767056, 770571670, 683981113, 843507453, 595525836, ( -1), 585492584, 192875470, 640865483, 183473462, 258146021, 953626310, 448755180, ( -1), 223306295, 944871109, 931285131, 926653211, 996466826, 225143102, 792598699, 770011243, 684263012, ( -1), 188749911, 858527184, 633734199, ( -1), 389366965, ( -1), 136651057, 891587314, 765315363, ( -1), ( -1), ( -1), 216966993, 163158871, 170183894, 584117747, ( -1), 831873864, 465409620, ( -1), ( -1), 952049121, 379857485, 79623305, 451700355, ( -1), ( -1), 641777183, 30532010, 194398162, 151876291, ( -1), 938402560, ( -1), 824021078, 844411540, 916017298, ( -1), 579792645, 851306956, 341339498, 399710231, 465962988, 130669143, 448468185, 641657398, ( -1), 563543548, 768566334, 515814129, 394146756, ( -1), 526676051, ( -1), 269587313, 59311167, 934053453, 640105149, 302505412, ( -1), ( -1), 118789538, 397958101, ( -1), 959813364, ( -1), 946928922, 156032523, 89972741, 567736091, 965529653, 964290124, 917927677, 847714342, ( -1), ( -1), 97322451, 661099788, ( -1), 749463038, ( -1), 715430179, 765622925, 247666945, ( -1), 836765983, 343631921, 876726901, 627912023, 423195419, 441839707, ( -1), ( -1), ( -1), 517732701, 59216600, 709787537, ( -1), 570303107, 631887364, 349783969, 248345684, ( -1), 72311200, ( -1), 44363244, 151830719, 978548705, ( -1), 828444303, 153272951, 134131088, 495044783, 460437994, 217728312, ( -1), 735109218, ( -1), 456828452, 490308562, ( -1), ( -1), 367792776, 400441743, 742802111, 404821686, ( -1), ( -1), 598438538, ( -1), 785660916, 871343678, 731140041, 680413931, 181011728, ( -1), ( -1), 849249802, 722740693, 371346594, 130912032, 145471387, 866491835, 727440673, 721664255, ( -1), ( -1), 78652250, ( -1), ( -1), 996658126, ( -1), ( -1), 647053885, 112167456, ( -1), 677274927, 198803196, 613510682, 752162769, ( -1), 607205745, 151761610, 235298486, ( -1), ( -1), ( -1), 641899599, ( -1), 868772670, 687918144, 285552576, 628656608, 542610654, 312819609, ( -1), 159569323, 426990396, ( -1), 771771693, 101953439, 761475037, 116229981, ( -1), ( -1), ( -1), ( -1), 829426124, 408893455, 176437233, ( -1), ( -1), ( -1), 283217497, 134978665, ( -1), 15694476, 844968396, 803155535, 193961672, 259436064, ( -1), 892658261, ( -1), 30102005, 227792906, 36354305, 603656175, 924643119, 693977066, ( -1), 263096650, 534787382, 902655839, 805754670, ( -1), 827111525, ( -1), 781245506, 614186581, 733682053, ( -1), ( -1), 699501410, 214014698, ( -1), 227030986, 400392041, 354549243, 805535155, ( -1), 341041089, 473923278, 426638644, 759002993, ( -1), 854997791, 371151096, ( -1), 873147865, 394933391, 655985709, 861237709, 510134117, ( -1), 908591624, 914523016, ( -1), 470052340, ( -1), 636211851, 222506896, ( -1), 392834497, 682857569, 574653858, 23751155, 629503155, 111629534, ( -1), 204638263, 730092819, ( -1), 446663267, 142911631, 722554606, ( -1), ( -1), 457655908, 860541446, ( -1), 943632750, ( -1), 31074627, 45340610, 606539452, 864840213, ( -1), 442581147, 686278385, ( -1), 820893589, 83920288, 752259077, 623993068, ( -1), ( -1), ( -1), 948436000, 991689570, 123352244, 751246, 501377887, ( -1), 109327969, 626706174, 873638860, 133516308, ( -1), 113176961, 174143229, 246853175, 426824997, ( -1), ( -1), 370271084, 457839301, 725963629, 936877565, 644975544, 941055199, 233489440, 460912011, ( -1), 69135408, ( -1), 700501389, 580010456, 559375876, ( -1), 544544610, 212130738, 420182644, 996528415, ( -1), 820377075, ( -1), 801726691, 546164258, 730008209, ( -1), 213819144, 919187469, 774416624, ( -1), ( -1), 240382376, 712881096, 572157110, ( -1), 147871758, 833824005, 791455083, 453150145, ( -1), 728384370, 961332137, ( -1), 549773848, 806398906, 189148478, 226755302, 761275355, 71360361, 892806150, 466569911, 761037313, 346963298, 60756282, 439968429, 476276987, 542163207, ( -1), 966491928, 318202689, 443020855, 765325636, 869017807, 653149447, 243541515, ( -1), ( -1), 634732966, ( -1), 432598837, ( -1), 831120568, 416148614, 309083614, ( -1), 414828123, ( -1), 309851437, ( -1), 369532899, 69571663, ( -1), ( -1), ( -1), 803206622, 373700182, ( -1), 384144889, ( -1), ( -1), 504354202, ( -1), 772527734, ( -1), 345297707, ( -1), 66374419, 794767757, ( -1), 819641980, 657569409, 651434304, ( -1), ( -1), ( -1), 355535298, 627186320, 926355007, 701307965, 509999582, ( -1), ( -1), ( -1), ( -1), 525176911, 741601093, 861323410, 239527419, 333989410, 558722180, 304272367, 160849477, ( -1), 596178356, 56976679, 493207495, ( -1), ( -1), ( -1), 319740403, 490640710, 2060652, 221894802, 336282395, 69715571, 220731731, ( -1), 279668510, ( -1), 432905702, 979860746, 338759690, 846928742, 126191044, 824571691, 763451432, 364696488, 297271127, 34485420, 411856589, 568525060, 263228072, ( -1), 310131685, 300739741, 973555565, 517793399, 6822271, 55734265, ( -1), 128859923, 737633883, ( -1), ( -1), 630091959, 422745420, 190847362, 485775945, ( -1), ( -1), 622218943, 688880226, 534347941, ( -1), 368623385, ( -1), ( -1), 375770821, 385282427, ( -1), 988880860, 917305207, ( -1), 892277531, 705506445, ( -1), 569242840, ( -1), 993243635, 442044895, 613320698, ( -1), 492649612, ( -1), 358370564, 454732251, ( -1), 198253301, 878627434, ( -1), 871778839, ( -1), ( -1), ( -1), 25265662, 684225773, 207539096, 623347756, 350131751, 510018125, 565348528, 988067366, 905120688, 820809214, ( -1), 713264905, 177315129, 900295192, ( -1), ( -1), ( -1), ( -1), 980119397, 419841710, ( -1), ( -1), ( -1), 818108556, 921616639, ( -1), ( -1), 199215784, 256946487, ( -1), 287240303, 795333370, 277255593, 385433088, 632474281, 655604318, 311930058, 27552909, 787971104, 481956988, 953513714, 872080165, 335398258, 970199274, 925032247, 489463319, 670941347, 395441444, 771397376, 645644147, 670830208, ( -1), 953715997, 633753731, 649635022, ( -1), 900752781, 312876089, 321076032, ( -1), ( -1), ( -1), 638421914, 171433875, ( -1), 289290712, ( -1), ( -1), 408806579, ( -1), 536682331, ( -1), 740562301, 443789366, 113330771, 64362500, 24791197, 450475077, 838539954, 60294258, ( -1), 215578886, ( -1), 190154499, 215708609, ( -1), ( -1), 550067785, 596296402, 647128064, 615812878, 635811010, 394125781, 902801908, 813813709, 201619827, ( -1), ( -1), 37511399, 949089459, ( -1), 998829302, 767049382, 829170690, ( -1), 56638849, ( -1), 236458265, 119897813, 501537190, 193534347, ( -1), ( -1), 948516343, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 777464894, 64914946, 185895358, ( -1), 983976542, 150966858, 924620682, ( -1), ( -1), 949331031, ( -1), 733698205, ( -1), 483673295, ( -1), 133388282, 328432152, 389281152, 4568714, 502987570, 281587628, ( -1), 735824041, 5209571, 932543344, ( -1), 762572726, 55486739, ( -1), 374859171, 25944839, ( -1), 419176317, ( -1), ( -1), 975557402, 615281533, 111621049, 881652364, 569297452, 176476985, ( -1), ( -1), ( -1), 941065803, 938729536, ( -1), 959237609, 45998945, ( -1), 314938469, ( -1), 188019444, 425677499, ( -1), 179412883, 403593759, 69371194, 701107387, 879854302, ( -1), ( -1), ( -1), ( -1), 658493647, 874386699, 337283321, 238541188, 18736501, 260926114, ( -1), 314551013, 399364117, 289881127, ( -1), 810833976, 437982122, 610802021, ( -1), ( -1), 495200189, 683911231, 940456804, 843013035, 434725685, ( -1), 696342049, ( -1), 801279523, 621768268, 190661746, ( -1), 184503999, ( -1), 472992234, ( -1), ( -1), 534109927, 211192253, 432728494, 254543806, 293806919, 653196393, 257877636, 779978359, ( -1), 241465721, 495855525, 308429734, 456482586, 562063079, 727897209, ( -1), 349951155, ( -1), 964690833, ( -1), 913395432, 981201781, 426193935, 362104088, 847270552, ( -1), ( -1), ( -1), 223854267, 311872285, 643119485, ( -1), 207115070, 480809613, 346067838, 257622749, 391036635, 759208857, 659366754, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 920578450, 427604971, 462126703, 739973889, 459903756, 591083541, 455073373, ( -1), 12159287, 961881657, ( -1), 189147785, 473305753, ( -1), 842443433, ( -1), 679664469, ( -1), 372367480, ( -1), ( -1), 388563399, 476185638, ( -1), 537253269, 401097623, 839358117, 842448489, 806850348, 204836067, ( -1), 284980526, 267107303, ( -1), 520581296, 874566097, 53311317, 230475934, 442909941, 699096620, 752367127, ( -1), 149738831, ( -1), 417846105, 73304072, 817146699, 26764442, 408534202, 552533691, ( -1), 439704445, 123292395, ( -1), 252937820, 456525664, 369712894, 395953400, 876339996, 679621864, ( -1), 906919663, 634042776, 844912534, 556481709, ( -1), ( -1), ( -1), 975357171, 913983630, ( -1), ( -1), 899007128, 172002806, 273010663, ( -1), 314432534, ( -1), 723704905, 402596130, 780084915, 824912961, 122861899, 917982245, ( -1), 156173761, ( -1), 13147914, ( -1), ( -1), 41060025, ( -1), 625331484, 174367228, 949521454, 193434044, 990514598, ( -1), ( -1), 972439781, 191759416, 287316881, ( -1), 568006076, 385380428, ( -1), ( -1), 197025245, 22258086, ( -1), 897812549, 4054442, ( -1), ( -1), ( -1), 619010967, 384106751, 28188806, 629940160, 721018409, 893277392, ( -1), ( -1), ( -1), ( -1), 956524089, 440207720, 186618691, 573954736, ( -1), ( -1), 430651152, 232772310, ( -1), 58307646, 748032853, 386955955, 417287012, 532218588, 97143279, 336566120, 695384904, ( -1), ( -1), 354959642, 97075572, ( -1), 183929582, ( -1), 391153727, 647389498, ( -1), ( -1), ( -1), 834234303, ( -1), 130602010, 603001910, 326125532, 508046945, ( -1), ( -1), ( -1), ( -1), 409014220, 268166904, 655768552, 877631123, ( -1), 80648964, ( -1), 136405473, 92164243, 363150294, 111426696, 989926105, 120534716, 588528364, ( -1), 815421641, ( -1), 520315515, 977269749, 174938755, 43591750, ( -1), ( -1), 518104312, 881040980, 903321430, 68054085, 817312444, 959943412, 75339964, 539553584, ( -1), ( -1), 587716466, 742854774, ( -1), 828977479, 889114784, 432428629, 459171308, ( -1), 28783084, 352226078, 529659162, 386768256, ( -1), 654362763, 918096836, 760714316, 556560368, 233873839, 154600334, ( -1), ( -1), 423900225, ( -1), ( -1), 272750852, 91998552, 858080191, 724612260, 386964923, 385181387, ( -1), 410806557, 789866414, ( -1), ( -1), ( -1), 489202744, ( -1), ( -1), ( -1), 564017745, 359304910, 978007353, 396968730, ( -1), 818370036, 36976772, 732629407, ( -1), ( -1), 192240727, 228326114, ( -1), ( -1), ( -1), 353334567, ( -1), ( -1), 35445607, ( -1), 921979187, 543430495, 77383933, 343559531, 257289968, 238365771, ( -1), 366651066, 970017626, ( -1), 903517494, 66773925, ( -1), 559864360, 736061122, 285706281, 786844137, 605035035, 615026013, 783081390, ( -1), 726311063, 559881306, ( -1), 464989535, 567092611, 148409717, 130568039, 152054799, 390148295, 957168455, ( -1), 678223265, 623113192, 711626131, 465189930, 390324485, 644797889, ( -1), 605009682, 895112383, ( -1), 779051407, 982407906, ( -1), 552422197, 867060114, 700939842, 6312017, 203396105, 385070324, ( -1), ( -1), 936068615, 764603395, 632576301, ( -1), 165687411, ( -1), 48432275, 567727442, ( -1), ( -1), ( -1), 963496789, ( -1), 430236226, 462020846, 987181911, ( -1), 778503150, 166917973, 856469061, 425105541, 993416423, 645737861, 604617608, 525237362, 789624009, 315533697, 455400392, 376567737, 283104431, ( -1), 298974495, ( -1), 142349619, ( -1), 396111354, 345494573, 216439707, 422603058, 315109169, 371090405, 945710059, ( -1), 824267906, 823216091, ( -1), ( -1), ( -1), 238365803, 936745565, 957181791, 495294459, 595012347, 910766832, 69277162, ( -1), 16058346, 807525507, 744898501, 330767014, ( -1), 921698834, 198705678, 776938704, ( -1), ( -1), 990643261, ( -1), ( -1), ( -1), ( -1), 878068894, 875972317, 554984579, 577019813, 680677245, 354803920, 366672572, 312760030, 530838603, 387891981, 294529464, 496193008, 501728349, ( -1), ( -1), 812914148, 880347939, 36558404, 490163552, ( -1), ( -1), ( -1), ( -1), 908113404, 123654419, ( -1), 128236745, 39306627, 93936483, 277654007, 467775035, 969502129, 784964698, 567649019, 384879344, ( -1), ( -1), 846282077, 514424412, 339144418, ( -1), ( -1), ( -1), ( -1), 927403416, 448165229, 283624418, 59812393, 605505626, 405004435, 310719292, 208856703, 71043451, 386993310, ( -1), 254187308, 55312385, 547735681, ( -1), ( -1), 929699449, 351048658, ( -1), 355423931, 798394697, ( -1), 698483772, 501586580, ( -1), 702185956, 913994311, 379452561, 275369859, 769709970, 834645353, 572121305, 369876241, 166160978, ( -1), 661079475, 233571137, 783780873, ( -1), ( -1), 42170503, 853646607, ( -1), ( -1), ( -1), ( -1), 360012821, 128864696, ( -1), ( -1), ( -1), 331143001, ( -1), 277055600, 564613462, ( -1), 660710688, 535368770, 334853378, 729621604, 229891549, 297928643, 317674830, 383257410, 291887098, ( -1), ( -1), 654004808, 484805815, 437497357, 840051008, 369228622, 64203362, 157204170, 775422602, 63447491, 157505710, ( -1), 335048428, 329238461, 654525224, ( -1), ( -1), ( -1), 501716922, 419441034, 238519481, 530713847, ( -1), ( -1), 375643868, 991944223, ( -1), 946131972, 282954462, 591318324, 452969923, 197669114, 950411526, 901899939, ( -1), ( -1), ( -1), 262663060, ( -1), 788390691, 71016282, 822207247, 375270408, 930416740, 896229557, 880256336, ( -1), 602157236, ( -1), ( -1), ( -1), 442752715, 486777046, 499208441, 816798484, 312615627, 421022140, 456492697, ( -1), 203592463, ( -1), 751573968, 301529987, 719967301, ( -1), 74871936, 220630638, ( -1), 204826739, 434117492, 164960487, 301093055, 55542999, 65731186, 712650939, 239702819, 170221051, 969456071, 667752391, ( -1), 626254600, 523167243, 587446563, 139841634, 185449142, ( -1), ( -1), 617026384, ( -1), 612734801, 662044974, 789727541, 900773313, 109977841, 713947934, 130396333, 638735605, 687905235, 967144902, 480511037, 744631468, ( -1), ( -1), 665034141, 602979310, 133657288, ( -1), ( -1), ( -1), ( -1), ( -1), 905352727, ( -1), 972177737, ( -1), ( -1), 403206673, 377366090, 662121083, 688138731, 649427402, 310411826, 560887738, ( -1), ( -1), 30813910, ( -1), 445027816, 593408246, ( -1), 838815757, ( -1), 31892213, 881221961, 640751675, 450698683, 202357408, 504680678, 384504310, 885621041, 512468421, 475302356, ( -1), ( -1), 603450690, ( -1), ( -1), ( -1), ( -1), ( -1), 748382934, 851144393, 129932338, 711171702, 935041569, 343362769, ( -1), 263668450, ( -1), 736502645, ( -1), 24144919, 153784217, 108734466, 728631465, 860709659, 676173874, 973840040, 134593817, 656579610, 950571287, 990457275, ( -1), 515624100, 673474059, ( -1), 86270793, 496789028, ( -1), ( -1), 263043027, 306663116, 821432669, 681981804, 82561484, 482684063, 878045744, 389514113, ( -1), 819390898, ( -1), ( -1), 562137148, ( -1), 935806866, 796026031, 715978560, 273973045, ( -1), 208338570, 266103014, 848750188, 373772939, ( -1), 517607469, 332845991, 642920348, 654414325, ( -1), 757582331, ( -1), ( -1), 180859310, 364009721, 794558360, ( -1), ( -1), 375194227, 148176529, 679031498, 480937226, 410098049, 131349189, 411942, 327729558, 655333079, 339166357, 531995982, 779310974, 910243920, 609077126, 497514941, 635198352, 381914273, 100976290, 223022334, ( -1), 246946237, ( -1), 104384336, ( -1), ( -1), 958992488, 548523983, ( -1), 851857146, ( -1), 289602552, 294766664, ( -1), 84089453, 863376509, 165192285, 133137224, 61319302, ( -1), 660371653, ( -1), 912568811, 907828417, ( -1), 49338595, 145140351, 424188661, 752432173, 74428034, 523406901, ( -1), 16551519, 431726948, ( -1), 910113371, ( -1), 165222196, 467026080, 672239527, 163643343, ( -1), ( -1), 661812420, 303371940, 915825561, ( -1), 102108350, 23490882, ( -1), 705533906, 225240493, 261031730, 307939301, 608643540, 2138646, 239197274, 323296313, ( -1), ( -1), 151987025, 655765992, 366231242, ( -1), 94394624, 702694420, 95022352, 943973340, ( -1), 667785350, ( -1), 429301951, 362095301, ( -1), ( -1), ( -1), 984603127, 899641094, ( -1), ( -1), 143842782, ( -1), 994322275, 87317678, 642374061, ( -1), 797693124, 743668748, ( -1), ( -1), 987432660, ( -1), 972926554, 245639837, 956159141, 471829155, ( -1), ( -1), 159720320, ( -1), 939158399, 136755046, 725836649, 144417623, 43862152, 27254939, 558613755, ( -1), 244930815, ( -1), ( -1), ( -1), 935407685, 394114526, 97736076, ( -1), 445631534, ( -1), 435067583, 691327979, 58540782, ( -1), ( -1), 612281475, 297246330, 237755391, 398309030, 995707820, 297913490, ( -1), ( -1), ( -1), 107298233, 70982185, 705304550, ( -1), 386522655, 326303716, 725860612, ( -1), 657500163, 393523397, 772054289, ( -1), 128735171, ( -1), ( -1), 3422126, ( -1), 31179347, ( -1), 701411453, ( -1), 135025155, 265306913, 820849553, ( -1), ( -1), 170707397, 819554951, 853398410, 950779582, 387632180, ( -1), 942311588, ( -1), ( -1), 546621305, 573418012, 336782877, 499053164, 498901854, 823883704, 129313205, ( -1), 857452338, ( -1), 523415197, ( -1), 174910038, 865445860, 438576203, 950555813, 880721488, ( -1), 107062709, 62737887, 230985372, ( -1), ( -1), ( -1), 942335709, ( -1), ( -1), 584769805, 944417174, 833923353, 362513839, 244237442, 779883110, 812885697, 309574022, 743112635, 235450720, 968924875, ( -1), ( -1), ( -1), 179077606, ( -1), ( -1), 993727077, 934511298, 645098897, 430596068, 40500953, 396850889, 883395623, 56033744, 897342078, 272281491, 403190070, 535009817, 225521211, 243903092, 712079044, 79926067, ( -1), ( -1), ( -1), 67623849, 160638284, ( -1), ( -1), 761854028, ( -1), ( -1), 173965611, ( -1), ( -1), 893474858, 233046090, 552419827, 213564215, ( -1), 942375920, 91085946, 242710260, 762507171, 131151059, ( -1), 682944492, 620980072, 25645554, 215989743, 807381508, ( -1), ( -1), 393434136, ( -1), ( -1), 204481649, ( -1), 855245656, ( -1), ( -1), 288954124, ( -1), 49083443, 387872090, ( -1), 349084929, 332020051, ( -1), 688568056, ( -1), ( -1), ( -1), ( -1), ( -1), 33577314, ( -1), ( -1), 673991236, 770106528, 394321992, 646468427, 343027611, 141479950, ( -1), 801631634, ( -1), 333499045, 27281683, 445159109, 203390816, 362936230, 197505496, 377710719, ( -1), ( -1), 107334404, 686079946, ( -1), 178017001, ( -1), ( -1), ( -1), 257134192, ( -1), ( -1), 713658388, 638697672, 522820137, 460258153, 808314698, 629719420, ( -1), 316710130, 688817566, ( -1), ( -1), ( -1), 844489420, 353037237, 673444826, 560865351, 599536599, ( -1), 675984765, 439819251, ( -1), 53830980, ( -1), 3434763, 616436752, 318973530, ( -1), 901022943, 273378952, ( -1), ( -1), 280536359, 247385541, 757192879, 599972840, 775470465, 269170768, 700518277, 598130240, ( -1), 915819604, ( -1), ( -1), 838298365, 380032350, 832783040, 821721660, 441792972, 392423151, 282497960, ( -1), 164619675, ( -1), 223320991, 323208412, 579621071, 376299570, 747094910, ( -1), ( -1), ( -1), 806281849, 486777452, ( -1), ( -1), 897893626, ( -1), ( -1), 982929732, 636465231, 797990997, 836517090, 774731710, 726112767, 51774324, 307892297, 924953132, ( -1), 508704182, 456630514, 788298350, ( -1), ( -1), 873099066, 809983175, 695815651, 752673093, ( -1), 572580002, ( -1), 757604315, 145165224, 159871969, 646031966, 616795536, 757787570, 158724923, 47126826, 301302498, 144739039, ( -1), 504023113, 887536050, 61556717, 888427957, 714682228, 219730567, 616598327, 942402004, 212664802, 704698460, 83593429, ( -1), 952446151, ( -1), ( -1), ( -1), ( -1), 285380937, 999701782, 166436733, 83809958, 682588866, 157439387, 717553875, 160599231, 65723485, 841492739, 982112963, 856469997, ( -1), ( -1), 32437831, ( -1), 13249861, 47415840, 43382213, 877825370, ( -1), 934012469, 801684973, ( -1), 541862721, 158920511, 961615124, 687682988, 774034572, 625195114, 464172334, 552935948, 527739592, 910093517, 113871164, 381139046, 272187611, ( -1), 359743266, ( -1), 226289698, 264422381, 842648414, 48322737, 226687623, ( -1), 23549724, ( -1), ( -1), ( -1), ( -1), 783994487, 374533002, ( -1), 247160881, ( -1), 351962548, 92755602, 179628814, ( -1), ( -1), 746632197, 40558555, ( -1), ( -1), 480824273, 157413375, ( -1), ( -1), 767702081, ( -1), 648604541, ( -1), 112975549, ( -1), 351347871, 867406875, 875813071, 740642269, 918055938, ( -1), 23303398, ( -1), 498519500, 195836214, 958660754, ( -1), 144914350, 150451371, 518622886, 146141244, ( -1), ( -1), ( -1), 132059327, 309334288, 149016770, ( -1), 368852359, 852026045, 828117523, 259530217, 514314455, ( -1), 798459891, ( -1), 488389558, 754340652, ( -1), 619512605, 674385419, 395462217, ( -1), 777421465, 520075201, ( -1), 326573684, 852858492, 859995988, ( -1), 215294865, 654944078, 24239400, ( -1), 513576462, 847151881, 644002545, 509305290, 562164515, ( -1), 145434631, 615682272, 676893232, 27542453, 53600750, 39715783, ( -1), 153976831, 499915081, 689782672, 894293811, 476465731, 629556669, 465776617, ( -1), ( -1), 794663343, 426002477, 4301748, ( -1), 17599005, ( -1), 910598383, 378410166, 675530040, 849396293, 257290991, ( -1), ( -1), 548986199, ( -1), 736041250, 658363258, 858888099, 998618196, 136440813, 142927501, ( -1), ( -1), ( -1), 47186843, 269367229, 530117779, 155569975, ( -1), ( -1), 614787571, 971211091, ( -1), 140923558, ( -1), ( -1), 751467358, 50399825, 740108684, 754111941, 131223279, ( -1), 434168132, 680967462, 841039548, 864475295, 337395260, 905752615, ( -1), 446983977, 866267458, ( -1), ( -1), ( -1), 872878089, 753696123, 387053752, 162434856, 406657686, 979613864, ( -1), 395052571, ( -1), 478450032, 110904677, 77583295, ( -1), 180153488, ( -1), ( -1), 564324492, 134858384, ( -1), 164739568, 369925265, 790444004, ( -1), 232655700, 999860951, 417037559, ( -1), 545106741, ( -1), 298953936, 189140852, ( -1), 987715788, 667333613, ( -1), 932188880, 816593609, 454265082, ( -1), ( -1), ( -1), 443634519, ( -1), 341029444, 486292282, 415777203, 216076742, ( -1), 849634212, 587619553, 12708279, 877792603, ( -1), 412207609, ( -1), ( -1), ( -1), 414714508, 543722515, ( -1), 942780613, 440250063, 507161206, 372684218, ( -1), 384044979, 76232002, ( -1), ( -1), ( -1), ( -1), 467830756, 286216969, 42896446, 864622695, 447221772, 330832409, 657330869, 154555276, 277701993, 900474645, 109745309, 967767764, 170230524, 99758141, 879272079, ( -1), 257338026, ( -1), 523441121, 354030768, ( -1), ( -1), ( -1), 824634131, 998965581, 429767768, 865172525, ( -1), 795580502, ( -1), ( -1), ( -1), 829532170, 843436144, 256129035, 911591205, 661812694, 734936448, 706121574, 60966399, 457121315, 172139752, ( -1), 123358606, 993340721, 233876623, 916817484, ( -1), ( -1), 194590559, 701499340, 729235763, ( -1), 47169349, 242544445, 875327317, ( -1), 899892698, ( -1), 579332245, 93993540, ( -1), 850777478, 357048943, 714758383, 344151454, 495903926, 941291168, 109774374, 927573539, ( -1), 471000295, 900030071, 666174065, 515828372, 324616939, ( -1), 714235420, 840429694, 185667296, ( -1), 249418873, ( -1), ( -1), ( -1), 868088957, ( -1), 569821873, ( -1), 530599155, 186717150, 358587089, ( -1), 499195750, 536247302, 615318613, 430844684, ( -1), 791749564, 952156138, ( -1), 279035177, 993660941, 58580861, 992513944, 983711575, ( -1), 481557010, 349987511, 27213491, 425983721, 604955689, 261997530, 153804637, 204931940, 331680833, ( -1), 430389657, ( -1), 721183711, 116912849, 299699142, 70068721, 571466353, ( -1), ( -1), 857922784, ( -1), 800610815, 270396922, 292404192, ( -1), ( -1), 998121807, 353563352, ( -1), 90368551, ( -1), 95362021, ( -1), ( -1), 336492569, ( -1), ( -1), 686496075, 130193480, ( -1), 764879175, 264475785, 711644001, ( -1), 629265196, 444126810, 375604134, 179779176, ( -1), 861394795, ( -1), 135769850, 632073911, 130971493, 973443139, 185806890, 132300524, 830611547, ( -1), ( -1), 420045030, ( -1), 331668303, 44466640, 652093772, ( -1), 537172076, 838450579, 803230197, ( -1), 678760965, 54814411, 458031871, 906682082, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 522527690, 240059616, 439402727, 869987135, 546717814, 973792584, ( -1), ( -1), ( -1), 498970729, 45831281, 226718542, 672523504, 167175034, 474235487, ( -1), ( -1), 444698351, ( -1), 9472300, 870340838, 652061280, 581965335, ( -1), ( -1), ( -1), 580391422, 465039318, ( -1), ( -1), ( -1), 862115908, 525380945, 154765820, 451158210, ( -1), 647787112, 875632612, ( -1), 622993977, 534724275, 744594984, ( -1), 472971143, 36823570, ( -1), 532041542, 181551529, ( -1), 27260043, 853177048, 451417049, ( -1), ( -1), ( -1), 291320302, 600793118, 422300076, 316494449, ( -1), ( -1), 834654941, 425147832, 795033695, 251136998, 188485177, 832165024, 64795112, 510787607, 924605871, ( -1), 133924339, 311653364, 101126752, 347626441, 490134105, 617734204, 499543855, ( -1), 58023170, ( -1), ( -1), 538798563, 469435013, 379684040, ( -1), ( -1), ( -1), 523519930, 736763796, 297382092, ( -1), ( -1), ( -1), ( -1), ( -1), 269766062, 134625753, 52930119, 360187237, 758285459, ( -1), 87864416, ( -1), 730697858, 871580472, 631233114, 946706228, 4132548, 339485363, ( -1), ( -1), 715442015, 308229262, 550644498, 734604097, 235423779, 193898433, ( -1), 14736598, 543378022, 427355347, 95689588, 7257364, 188806252, ( -1), 623339545, 3304480, 9138820, 909535963, 12471369, 303132858, 735684931, 12551628, 395481206, 431018134, 441532609, ( -1), 902922885, 679428157, ( -1), 328289035, ( -1), 569800264, 689152794, 631925784, 232385328, ( -1), 629423574, ( -1), ( -1), 528359023, ( -1), ( -1), 365064887, 681106469, 125174320, ( -1), 361517854, 535957616, ( -1), ( -1), 178176922, ( -1), 606348075, ( -1), 814898211, 939464814, 47719613, 105307967, ( -1), 628177166, 782136955, 993031741, 159801208, 777366202, ( -1), ( -1), 950084141, 959870533, 56034851, 780752345, 685421068, 297061731, 198406253, ( -1), ( -1), 642889342, 371671558, ( -1), 301596619, 729198367, 795473727, 30581075, ( -1), 176406257, ( -1), 557542037, 966269699, ( -1), ( -1), ( -1), 633430418, 852241011, ( -1), 100336358, 314908132, 699346467, 344428782, 227791917, 626773045, ( -1), 353546935, ( -1), 524475383, 66540016, 65241099, ( -1), ( -1), ( -1), 976841140, ( -1), 316301916, 272093082, ( -1), 204420736, 643889680, 34200132, ( -1), 393020121, ( -1), 527743477, 11313089, 414885741, 318239968, 471017638, 460418010, 64381865, 119765269, 154420459, 841647629, 826208097, 717505992, ( -1), 127022588, 810342671, 49299115, 814205057, 66047214, ( -1), ( -1), 909383858, 847060177, 103642703, 949637623, 752673813, 289917105, 525919858, ( -1), ( -1), ( -1), 456004239, 790482973, 763955532, 582857770, ( -1), 553664089, 326043115, 236871860, ( -1), 661431217, ( -1), 230420124, 167007671, ( -1), 760893544, ( -1), 58499277, 964690870, 953461551, ( -1), ( -1), 169319453, ( -1), 442100023, 296088301, 348358875, 827347670, 566006121, 34864041, ( -1), 612227364, 371094030, ( -1), ( -1), 54674301, 266232756, ( -1), 133079352, ( -1), ( -1), ( -1), ( -1), ( -1), 123629107, 990029914, 320323793, ( -1), ( -1), 901040154, 505751038, 996343917, 98404959, 41938396, 50325130, ( -1), 544845303, 420659934, 609441174, 287422428, 257014262, 582648728, 616225603, ( -1), 88384028, 379917901, 302036110, 332479814, 208500508, 799564898, 299730009, 868262858, 715872831, ( -1), ( -1), 563042075, ( -1), 619686528, 56331114, 914405567, 3845255, ( -1), ( -1), 268979052, 769487987, 269733319, 948620964, ( -1), 856033908, 97186044, 717094880, 309950999, ( -1), 784286637, ( -1), 551957260, 628486142, 241077728, 208645579, 692716921, 466813075, 738266328, ( -1), 915866663, ( -1), ( -1), 485911632, 891222790, 951656536, 366797139, 858124606, ( -1), 697293155, 115119143, ( -1), 293533055, 627948589, ( -1), 764281330, 558465006, 275552765, 582882448, 854038981, 830342824, 408940619, 82500802, 424738848, ( -1), 220495191, 690532301, ( -1), 683117267, 469789806, 848692662, 397422795, 575023173, 437662554, 507364314, ( -1), 893745788, ( -1), ( -1), 5685265, 481859031, 72004409, 351839037, ( -1), 840797318, 416094699, 386470236, 161340911, 405247601, ( -1), ( -1), 95038827, 48497578, 155867067, 208860865, 642335706, ( -1), ( -1), ( -1), 641028330, 253954726, 240815635, ( -1), 181170644, 751615, 779684678, 306613691, ( -1), 218371185, 986330590, 44215829, ( -1), ( -1), ( -1), ( -1), 495971324, 925858095, 238315217, 995849010, 991744184, 756507630, ( -1), 629452141, ( -1), 381222176, 503440770, 14213593, 900357344, 221838590, 175380576, 944959725, ( -1), 79985246, 147783007, 485766518, 454328597, 538683954, 953180814, 324643397, ( -1), 201763179, 384024931, 119575775, ( -1), ( -1), 844168755, 519923761, 274163385, ( -1), 361637821, 205949784, 912624693, 743301371, 387936361, 380622271, ( -1), 289343925, 864915800, 136783751, 667854054, 145966220, 679529536, 353084653, 371889582, 28631987, 375539339, ( -1), ( -1), 915469560, ( -1), 769373047, 995015749, ( -1), 483282030, ( -1), 733287299, 41879477, ( -1), ( -1), 142121083, ( -1), 330873405, 478741656, 338085987, ( -1), 223280635, 879504770, 530311387, 31445768, 576048362, ( -1), 922444077, 841281087, ( -1), 841280073, ( -1), ( -1), ( -1), 11208742, 456803586, 304297225, 786548033, 316896182, 562282140, 738008694, 836644394, ( -1), 72298301, 315219602, 446592302, 459174891, 227552903, 761776907, 888240409, 983180440, 810666218, 200064091, ( -1), 533428440, ( -1), 802393055, ( -1), ( -1), 887467848, 725147106, 242286834, ( -1), 850246662, ( -1), 495347445, ( -1), 161965415, 948517774, 866798195, 816771087, 247081928, 960417783, 539145976, 765732069, 727519811, ( -1), 735885522, 469971089, 516744992, ( -1), 693928176, 235400819, 372073351, ( -1), 560379264, 102798346, 419181047, 300800779, 221108653, ( -1), 408744742, ( -1), ( -1), 644933781, 880940457, 12346499, 516573189, 193331413, 100420689, ( -1), 88742638, 19073009, 467214596, 732769653, 825003462, ( -1), 124366456, 82598835, 832185156, ( -1), 244260077, 200765028, ( -1), 870256835, 319250477, 922011651, 951648937, 521829111, ( -1), ( -1), 614904229, ( -1), ( -1), ( -1), ( -1), 603987150, 429862310, 846141181, 33538162, ( -1), ( -1), ( -1), ( -1), 589065080, 756915722, 261604199, ( -1), 574934561, ( -1), 612583592, ( -1), ( -1), 388468852, 902889676, 891511138, 470011062, 588223387, ( -1), 223823476, ( -1), 281867438, 697124790, 305444873, ( -1), 352855575, ( -1), 509945077, 48100129, 788994932, 853649784, ( -1), 919072263, 718504267, 277211022, 897941064, 934464627, 640244071, 427374648, 919963653, 979236777, ( -1), ( -1), 466439593, ( -1), 167156973, 382924127, ( -1), ( -1), 818002541, 576092072, ( -1), ( -1), 510657205, 120832263, ( -1), 379163788, 229815410, ( -1), 793807277, 494962984, 466726573, 652915169, 75355848, 998419060, 322919185, 80493427, 547616196, ( -1), 515594597, 445489805, 118083206, ( -1), 721168293, 286062215, ( -1), 655748494, ( -1), 372482024, 660869447, ( -1), 736987495, 802561144, 340350479, 397997080, 829919061, 604822164, 649346797, 711722185, ( -1), 992050649, 590512433, 159487492, 348566138, ( -1), 210148860, ( -1), 178162106, 337838412, 268710229, 890911595, 265556983, 629501022, 264947765, ( -1), ( -1), 874811426, 120598222, 333196183, ( -1), 940265069, 536240112, 389064692, 637762650, 151105962, ( -1), ( -1), ( -1), 919093457, 622587979, 993459591, 901939447, ( -1), ( -1), 429564709, ( -1), 487924233, 735474634, 227363132, 150422324, 458833259, ( -1), 333384481, 360148734, 963471668, 680357917, 418737237, ( -1), ( -1), 511937954, 283310837, ( -1), ( -1), 486888260, 186881933, 536787888, ( -1), 422027659, 150448233, 217491420, ( -1), ( -1), 817135812, 536951420, 982777302, 84741717, ( -1), 130472450, 353741992, 384679496, 751374629, 84069298, 7680687, 361102021, 947392797, 734789738, ( -1), 599366326, 997296144, 171305605, 820170076, 845488451, 681527995, 857028481, ( -1), 877566860, 213799225, 514650908, 656593594, ( -1), 9640637, 396997279, ( -1), 539515948, ( -1), 86563353, 984660274, 888595022, 578108340, ( -1), 779037750, 363841726, 476080605, 253910940, ( -1), ( -1), ( -1), 966771044, 33160649, 101803128, 33887160, 536947613, 402490685, ( -1), ( -1), 224772744, 312013850, 721321410, ( -1), 733327487, ( -1), ( -1), ( -1), 749162107, 198291, 387277048, 533243742, 701373699, 902123158, ( -1), 847510660, 310972713, 339272196, 616221494, 171143133, 772792880, 100491052, ( -1), 90951101, ( -1), 637099086, 101507116, ( -1), 406558571, 106687196, 546395573, 896078346, ( -1), 75157033, 531252471, ( -1), 22655723, 64096674, 819300010, ( -1), 697928812, 667637121, 482139716, ( -1), ( -1), 414840006, 743847380, 384958399, ( -1), ( -1), 984818713, ( -1), ( -1), ( -1), ( -1), 961608415, ( -1), 133863974, 899107932, ( -1), 885556861, 916432406, 117185050, ( -1), 869181193, ( -1), 317939303, 660328389, ( -1), 967208442, ( -1), ( -1), ( -1), ( -1), 422035734, ( -1), 951948216, ( -1), ( -1), 100835332, ( -1), 841592649, 407047461, ( -1), 539106070, 700904365, 98931397, 787616135, 720760230, 250734825, ( -1), 366237433, 621873904, 374456472, 234985938, ( -1), 150919780, ( -1), 455322905, 399658319, ( -1), 213733717, 816452201, 991098728, ( -1), 711017671, 4451111, 288076677, 737726168, 733564194, ( -1), ( -1), 580585404, 982197976, 934562918, 166410142, 651240611, ( -1), 83764888, 740807917, 940941385, 821105819, ( -1), 139042034, 976646050, 92451822, ( -1), 836830704, 335315200, ( -1), 7671302, 611243531, 655716025, 995040114, 909769366, ( -1), 871855729, ( -1), 487614096, 813584205, 172229769, 363333853, 31663456, 33461603, 913987882, 955372761, 75110760, 795559181, 682319946, 570967973, 567179929, 803496811, 404040874, 623730506, ( -1), 59655434, 595260458, 544123325, 198411505, 372245165, 325116866, ( -1), ( -1), 249843781, ( -1), 746792904, 166897784, ( -1), 13410252, 558525532, ( -1), 864275556, 871834418, ( -1), 974065678, ( -1), 249626765, ( -1), 397726625, 770391959, 216821077, ( -1), ( -1), 847149813, 567349193, 366764613, 396293751, 926072128, ( -1), ( -1), ( -1), ( -1), ( -1), 375880952, ( -1), 939772268, 291091015, ( -1), 34088101, 76339724, ( -1), 409090472, ( -1), 818597317, ( -1), 775969746, ( -1), ( -1), 358302, 743893733, ( -1), 646027048, ( -1), ( -1), 52320196, ( -1), 932707571, 133709369, 218853202, ( -1), 963250758, 915227027, 116397896, 126502969, ( -1), 154200465, ( -1), ( -1), 736733603, 678369923, 234927959, 688972832, ( -1), ( -1), 972162244, 29039340, 731643447, 392172416, 898830250, ( -1), 740530459, 889571685, 647974984, 17308560, ( -1), 769112074, 414584175, 756417935, 102962960, 97180194, ( -1), ( -1), 937237446, 438010598, 156232157, 156594237, 99944437, 787295699, 797264249, 822702781, 567783825, 947886263, 631112373, 853367075, 836426856, 483820849, ( -1), 619800185, ( -1), 794725760, 115142268, 238513767, 365728250, 386169360, 70491528, ( -1), 820702182, 633963002, 986319807, 840477544, 653664051, ( -1), 380572768, 797402756, ( -1), 791341514, ( -1), ( -1), 382021857, 620787248, 994817433, 639938383, 906089325, 45198684, 532278798, ( -1), 187169942, ( -1), 157621439, 391387089, 366953269, 606326306, 182595032, ( -1), 355161568, ( -1), ( -1), ( -1), 724616442, 40311922, 799069495, 256135980, 879994326, ( -1), 420185554, ( -1), 179058092, 67422744, 91557266, 32691885, 822080921, 284443977, 260797278, ( -1), 532497082, ( -1), 68907631, 943706091, ( -1), 544772998, ( -1), 457025931, ( -1), 966858706, 570883142, ( -1), ( -1), ( -1), 133859219, 197732769, ( -1), 831563997, 550038124, ( -1), ( -1), ( -1), 722750889, 847905635, 262519297, 304732332, 467412827, 843900742, 334559366, 92065315, 152186484, 938593564, ( -1), 558421672, ( -1), 793658832, ( -1), ( -1), 662879943, ( -1), ( -1), ( -1), 884370220, 369848450, ( -1), ( -1), 940605683, 867368444, ( -1), 37348254, 565265577, ( -1), 974023089, 677502993, ( -1), ( -1), 418687472, ( -1), ( -1), 918705618, 350958547, 319992606, ( -1), ( -1), 307533585, 832903556, ( -1), ( -1), ( -1), 657251609, 288888096, ( -1), ( -1), ( -1), ( -1), 364280222, ( -1), 591439002, ( -1), 355008810, ( -1), 913000984, 447009807, 59046732, 428552752, 169527023, 909082886, ( -1), 836359314, ( -1), ( -1), 420016943, ( -1), 447419457, 918780992, ( -1), 567519856, ( -1), 935713148, 577563514, 47042712, 348437394, ( -1), 169035219, 621462064, 427512757, 404937796, 586800259, ( -1), 879869190, ( -1), 897706182, 85572304, 41385127, 409162601, 907976409, ( -1), 524576474, ( -1), ( -1), 970749896, 483690910, 250754319, 42017291, ( -1), ( -1), 299993123, 683847964, 859682372, 247107789, 962576237, 959713574, ( -1), 423683106, ( -1), ( -1), ( -1), 412124624, 987660144, ( -1), 470563316, 36202632, 703316377, 867823646, 153797847, 445416658, ( -1), 863707377, ( -1), ( -1), 312384165, ( -1), 662944936, 567453282, 45011729, ( -1), ( -1), ( -1), 427575918, 845166104, 354064313, ( -1), 78394595, 530159159, ( -1), 809054256, ( -1), 351212027, 737458671, 12109231, ( -1), ( -1), 351457102, ( -1), ( -1), ( -1), 559396938, 202459286, 112807966, 177474416, 425226168, ( -1), ( -1), 217272907, ( -1), 476800277, 988911056, ( -1), 82201077, 900099527, 336838377, 623409378, 8396515, 462308190, ( -1), 359229343, 94527973, ( -1), 328310388, 411601182, 428068967, 467285978, 585750111, 312974383, 935009511, 43799697, 753410012, 740775297, ( -1), 104105578, 541837777, ( -1), 251614234, ( -1), 490522917, ( -1), ( -1), 150133941, ( -1), ( -1), 476739681, ( -1), 895561154, ( -1), 865590428, 937392407, 163691560, 696453041, 263343707, 879633681, ( -1), ( -1), 383700239, 161956083, 477575407, 189902296, 275364112, 803853089, ( -1), 768506253, ( -1), 930575472, ( -1), 265179679, 514439599, 566108234, ( -1), 237865211, 297018412, 735406729, 371683150, 490535631, ( -1), 785364690, ( -1), 104809498, 530768873, 478036692, 252452342, ( -1), ( -1), 981318925, 919360497, 203848829, ( -1), 7184486, ( -1), 301506858, 623525401, 224331228, 971736522, ( -1), ( -1), 204326860, ( -1), ( -1), ( -1), 430175800, 704619066, 829990404, 736397349, ( -1), ( -1), 740823707, ( -1), ( -1), 95280611, ( -1), ( -1), 990959166, 232058241, 627830626, 764209544, 221343228, ( -1), 169657981, 935003176, 583898447, ( -1), 287478651, 544031050, ( -1), 546023809, 983076220, 773234073, 954691109, 525604866, ( -1), 466405417, 242302098, ( -1), ( -1), 195841558, 4154436, 817568744, 460364615, 344073195, 76277373, 158949560, 423148272, ( -1), 63808709, 643997086, 497165979, 180672221, ( -1), ( -1), 846478293, 137482998, 405223695, 835887788, 454964098, 239607882, 352832523, 514138458, 298776672, 646352541, 267374642, 773397207, 813182244, 476233792, 110916660, 429454238, 224725307, 107116813, 697074600, 453191428, 889105981, 365004376, ( -1), 805857671, 807441986, 437267803, 7014193, 305421400, 866704002, 95234475, 752077038, 330183443, ( -1), 978353137, ( -1), ( -1), 193246680, ( -1), 620333962, 507819050, 8418483, 605872222, 564353769, 979525523, 61259704, 791382118, 739528212, 159815867, 267004902, ( -1), 837199727, ( -1), 740752093, 855692863, ( -1), 471436506, 440740680, ( -1), 49149972, 287840013, ( -1), ( -1), 497745905, 760370856, 50951636, ( -1), 945083686, 184160400, ( -1), 863195539, ( -1), 419080905, 842041674, 610868298, 678441110, 150825659, ( -1), 396480265, ( -1), ( -1), 925342122, ( -1), 11981416, ( -1), 150606836, 112874836, 454540426, 738513687, ( -1), 733233237, 28715098, 468836989, ( -1), ( -1), ( -1), 616031498, 149277933, 974937205, ( -1), ( -1), 837439026, ( -1), 420007078, 247272089, 681209668, 45451026, 807714209, 399329922, 483633174, ( -1), ( -1), 659442567, 790821766, ( -1), 520830696, ( -1), 625646511, 325003968, ( -1), 106695011, 491625228, 968725870, 525184554, ( -1), 129665638, 104630144, 917861623, 371255908, ( -1), 406958792, 71602084, ( -1), 101196008, 822386042, 275328142, 266098559, ( -1), ( -1), 345307676, 386601744, 230419747, 907391633, 449797637, 927195204, 354889015, ( -1), ( -1), 279072212, 544644022, 589119385, 516516692, ( -1), 700957731, 492696339, ( -1), 852804313, 551729057, 272710918, 726063321, 122772595, 972970584, 605830149, 316680147, 536586502, 838880201, 50546529, ( -1), 88286296, ( -1), 740086379, ( -1), ( -1), 874678559, 271815143, 71967993, 7631056, 805782762, 814942208, ( -1), 114466985, ( -1), ( -1), ( -1), 226912764, 877571, ( -1), 363559735, ( -1), ( -1), 810605814, 571678889, 292067257, ( -1), 784273252, ( -1), ( -1), ( -1), ( -1), 512245998, 49498216, ( -1), 307781386, ( -1), 792275709, 489883245, 89522287, 419396784, 8859105, 147278537, 447944754, 82896781, ( -1), ( -1), 165493718, ( -1), 119849093, ( -1), 490403155, 620022521, 128242009, ( -1), ( -1), 62095361, 111377779, 738271738, 951796630, 990392803, 319988266, 268402004, 670098204, 139209629, ( -1), 295759067, 707254477, 819476044, 280193508, ( -1), ( -1), ( -1), 163607485, 49611127, 392544878, 830548487, 419771874, 600224007, ( -1), 365141396, 4847693, 598986362, 889364476, ( -1), 938068822, ( -1), 754341890, ( -1), 146463919, 684618680, ( -1), 502831162, 782546050, ( -1), 591443970, 582830371, 780802164, 530931218, 729598834, 561777343, 799931323, 56387894, 468188922, ( -1), 887911777, ( -1), ( -1), 277248690, ( -1), 330788552, ( -1), ( -1), 167384043, 802675566, 644062007, ( -1), 610164577, 295664872, 518899727, 766158029, 236576606, 178403751, ( -1), 895990646, 268409477, ( -1), ( -1), 848593441, 258863129, 404670623, 917000553, 3379820, ( -1), 718798398, 396108272, 391489943, ( -1), ( -1), 52417568, ( -1), ( -1), 916953032, ( -1), ( -1), 256484597, 45991741, 458286936, 951382507, ( -1), ( -1), 633650073, ( -1), ( -1), 276090523, 233464522, ( -1), ( -1), 241369403, 915477721, 938476037, 533671065, 49634836, 82737041, ( -1), 393198808, ( -1), 652281892, 357877697, 572717200, ( -1), 921836882, 792231669, 752820905, 714119608, 946161531, 443628490, 67669072, 84235368, ( -1), 851926139, 89425353, 431890414, 811974204, 750467507, 304959149, 636773223, 19971070, 211073085, 508725449, ( -1), ( -1), ( -1), 595677953, 926666840, 632112501, 34861928, ( -1), ( -1), ( -1), 510727489, ( -1), 100164535, ( -1), ( -1), 473858959, 293746419, 946865077, 735177910, 514221347, ( -1), 756664890, 295181970, 907722424, ( -1), 188704085, 945275459, 493828374, 251056737, ( -1), 465204072, 403792740, 48115881, 885117445, ( -1), ( -1), 541733761, 291387591, 640630598, 979655028, 312517531, 400904612, ( -1), 566178327, ( -1), 387269904, ( -1), ( -1), ( -1), 482678252, ( -1), 39050128, ( -1), 997073346, 447587132, 901176079, ( -1), ( -1), 144016942, 859823383, ( -1), 409375177, 652613190, 506968468, 147668590, 815028307, ( -1), 562647341, ( -1), 633454273, 503857912, 914415166, 564034433, 944544555, 532826187, 46207302, 503195713, 89284437, 528479165, 170690928, 508012405, ( -1), ( -1), ( -1), 822292905, 899458749, 329065192, 211553418, ( -1), 10586088, 531105785, ( -1), 480721988, ( -1), 929213814, 491443272, ( -1), ( -1), ( -1), 630996188, 199104129, 242258901, 674824945, ( -1), 82094442, ( -1), 894076404, 208527843, ( -1), 258659967, 665902051, ( -1), ( -1), 999596639, 733671815, 443514457, 151683260, 332230380, 607377742, ( -1), ( -1), 445199828, 455929860, ( -1), ( -1), ( -1), 633876142, ( -1), 243657299, ( -1), 375292876, 67818334, 363179123, 822006778, 237714136, ( -1), 743967959, ( -1), 432972959, 659619807, 598535485, 646704667, 9520304, ( -1), ( -1), 820671449, 852344154, 544848631, 837026831, 566320705, ( -1), 859869542, 519575695, 339976896, ( -1), 869156129, ( -1), ( -1), 539792642, 990489433, ( -1), 212284564, 474932920, ( -1), ( -1), ( -1), ( -1), 658197387, 870106580, 628942917, 277193551, 190222304, ( -1), 61949354, 175238010, 72560701, 581438283, 827548390, 669004712, 495828356, ( -1), ( -1), 895459322, 354075479, 648854062, ( -1), 374009576, 75002303, 817984714, 837417646, ( -1), 704337663, 366107518, 100313081, ( -1), 696768064, 4774655, 418985575, ( -1), 703532689, 801891254, 450526805, 781960607, 784714239, 78061498, ( -1), 970307636, ( -1), 788232459, 586469302, 855391604, ( -1), 922892688, ( -1), 3465740, ( -1), 750033364, 454266914, ( -1), 629426383, 32274125, 278959121, 873688153, 938505298, ( -1), ( -1), 103945500, 642575806, ( -1), 486529939, 256055245, ( -1), 33576889, ( -1), 613357895, 363190641, ( -1), 637468394, 826073173, 461135426, ( -1), 510268421, 80412323, 625410191, 233158876, 311126964, ( -1), ( -1), 860035271, ( -1), ( -1), 708373389, 766210781, 865370149, ( -1), 124105148, 520365881, 326303444, 178052812, ( -1), 444628548, 391906056, ( -1), ( -1), 202975501, ( -1), ( -1), 437397829, 331771573, 136869442, 507328097, ( -1), 67657536, 649185089, 761919639, ( -1), 362205782, ( -1), 786603092, 288868957, 797902725, ( -1), 824725253, 766782663, ( -1), 991326212, 734835185, 628260752, ( -1), ( -1), 845384791, 461930534, 529769280, 693674052, ( -1), 407469578, ( -1), 698585040, 2856391, ( -1), ( -1), 366604242, 866685892, 346045223, 344041656, 843946315, 601815246, 198595840, 354562695, ( -1), 557250314, ( -1), ( -1), 619905677, ( -1), 46559560, 264702429, 353377163, 181322188, 49399644, 528457674, 355591222, 872748153, 255439877, ( -1), 600180178, 794973726, 819461859, 824638981, 8503125, 617883992, 396095506, ( -1), 211041517, 380454473, 873315641, ( -1), ( -1), 979796554, 910240015, ( -1), ( -1), ( -1), 457060266, ( -1), 280213907, ( -1), 625287071, 605192863, 489612025, 337330515, 187963692, 881632027, ( -1), 855553080, ( -1), 833072630, 582951158, 910419559, ( -1), 968412653, 988290507, 759012712, 32444467, ( -1), ( -1), 479942663, ( -1), 657540850, 920214701, ( -1), 9995474, ( -1), 949496853, ( -1), 38918336, 396621950, 90522583, ( -1), 303904501, ( -1), 179030849, 623049912, 185733287, 716167112, 76068178, 254598583, ( -1), 853565750, ( -1), 663416330, 221007797, 402687004, 656731803, 769631851, 840509298, ( -1), ( -1), 653427579, 931749118, 526505901, 412736201, ( -1), ( -1), 682234111, 419067358, 872661893, 281652781, 215793690, 854577574, 108460140, ( -1), ( -1), 173391670, 923236489, 408164265, 166483336, 657401156, 403732184, 472799219, ( -1), 588271648, ( -1), ( -1), ( -1), ( -1), 821022089, 302826801, 963674416, ( -1), 963385462, ( -1), 979982942, ( -1), 996478342, 703263249, 856420776, 219870793, 531856269, 198204502, 527519389, 197079719, 396352212, 711007596, 640619225, 944973283, 592975659, 251618663, 375723190, 94254566, 197802586, 806306178, 945667425, 384733529, ( -1), ( -1), 108855309, 864458277, ( -1), 95199879, 616181826, 618394613, 161836844, 433487160, 194766421, ( -1), ( -1), 34752876, 112486020, 802439739, ( -1), 254972191, 694476845, ( -1), 600580409, 838357655, 75287916, 459285729, 429775071, 543497292, 672130323, ( -1), 74401152, 517551822, ( -1), 388827211, ( -1), 899663399, ( -1), ( -1), ( -1), 938228799, 667007107, 306132414, ( -1), 468374257, 56634241, 211600021, 847471945, 271330509, ( -1), 705378059, ( -1), 614083459, 66591223, 274024546, ( -1), 47209441, 619780895, ( -1), ( -1), ( -1), ( -1), 880686417, 762138072, 850274140, 962021816, 68735875, 330525376, ( -1), 863517092, 439891335, 954212502, ( -1), 538720475, ( -1), 27409536, 831643223, ( -1), ( -1), ( -1), 445226005, ( -1), ( -1), 152337673, 712387317, ( -1), ( -1), 869541586, 354225739, 327648136, ( -1), ( -1), 28959014, ( -1), 703624772, 72433506, ( -1), ( -1), ( -1), 760527250, 904281746, ( -1), 959117448, 88721954, 792337694, 751119604, ( -1), 547997070, 605986581, 896902855, ( -1), 839851350, ( -1), 699332481, 36164750, ( -1), 663403843, ( -1), ( -1), 398547595, ( -1), 891706560, 996683365, 870297008, 219840164, 277966006, 705460930, 823486595, ( -1), 153637159, 665355052, ( -1), 552077216, ( -1), 854860298, 712703258, 788614848, 718187012, ( -1), 842786951, 216580245, ( -1), 425066410, 224342356, 953680587, 839970904, 913134875, 917205104, 580736696, 951061614, ( -1), ( -1), ( -1), ( -1), 26012475, 301180651, 904387009, ( -1), ( -1), 847454460, 145790278, ( -1), 508456756, 348183130, 383167071, 458130761, 885746816, 181218819, 178550296, 382275788, ( -1), 895584683, 770318830, ( -1), 293899444, ( -1), 21764996, 338055336, 341464891, 642647922, 612815219, 257401645, ( -1), 364495505, 80376022, 405599822, 267847918, ( -1), 371890103, 279329852, 232733961, 142065565, 210484544, 170077946, 658895834, 592405521, ( -1), 731544227, ( -1), ( -1), 372203132, ( -1), 726597809, ( -1), 606145775, 448908855, 808477911, 47714880, 854148256, 999329629, 852029272, 742626897, ( -1), 187105375, ( -1), 775016617, 461135576, 176649911, ( -1), ( -1), 8464347, 814152407, ( -1), 32960633, ( -1), ( -1), 363352643, ( -1), 314879555, 762628381, 231351692, 915295701, ( -1), 658723137, 818367527, 345341242, ( -1), 51611263, 416229625, 913669527, ( -1), 120948244, 959315120, ( -1), 982240140, 826665806, 991127167, 120429445, 270363104, ( -1), ( -1), 745141742, 290757670, ( -1), 400730835, 61787705, 266093224, ( -1), ( -1), 182863332, 294119498, 939366568, ( -1), 109171337, ( -1), ( -1), 267297896, ( -1), 166857842, 526147981, ( -1), 617681294, 95595911, ( -1), 709748348, 399792750, 12679773, ( -1), 587760664, 832621795, ( -1), 928270737, ( -1), 222352688, ( -1), 526130944, ( -1), 595552796, ( -1), 825559088, 356992623, 671496793, 799914386, 358194193, ( -1), ( -1), 414230702, 719248004, 555062522, 128411533, ( -1), 934071912, 19966030, ( -1), 827854915, 776591914, 161280599, 824214967, ( -1), ( -1), 35342762, 227813916, ( -1), 590930226, 750789552, 645214114, ( -1), 807984414, ( -1), 624695630, 592605566, 156165308, 205561757, 166592110, ( -1), 604859345, 224654024, 246301273, 702069100, 972673556, 140949887, ( -1), 848264542, 627013064, ( -1), 854145633, 943672423, 56640652, 160914932, 786399018, 818712173, ( -1), 401852750, ( -1), 591874376, 47115360, ( -1), ( -1), 88179154, 892035013, ( -1), 758102913, 449920016, 860616454, 341288168, ( -1), ( -1), ( -1), 378690555, ( -1), 545986788, 508363961, 389856757, ( -1), 159606329, 214864626, 918241961, 873245507, 720702147, 16007690, 406992069, 664212870, 521511143, 703862846, 302684987, 808390337, 846089876, 926304673, 983539276, 210217088, 726512069, 373950616, 996416983, 259720723, 587161976, 558192881, 855251378, 948286368, ( -1), ( -1), 749050655, 358150818, 943523130, 441914182, 392167176, ( -1), 337642071, 623464687, ( -1), 222418931, 458252850, 603646820, ( -1), 486186179, 625903282, ( -1), ( -1), ( -1), 814905730, 429606239, 522763722, ( -1), 352930683, 585444793, ( -1), 314763436, ( -1), 108226892, 78288424, 984807284, 496884352, 233051562, 98319916, ( -1), 60829426, 485457472, 668742002, 629118331, 186423484, 267942103, 171952889, 599579932, 117918223, 400657868, 535509222, 130847786, ( -1), 989808121, 530530739, 733742349, 223851959, 150847026, 630664276, 689840097, 748591763, 339290300, 725404188, 265332991, 212649636, ( -1), 247171119, 980079235, 103581711, 599531699, ( -1), ( -1), ( -1), 161368998, ( -1), ( -1), ( -1), 760193952, 324603511, 922932019, 978122128, 560965261, ( -1), ( -1), 345105674, 664948046, 794916218, 155373600, ( -1), 934548480, 269266715, 499297261, ( -1), 935948658, ( -1), 539027575, 923404250, ( -1), 898777827, 704690636, 444931685, 387447959, 349009159, 537392584, ( -1), 261896877, 656438911, 948270629, 422210307, 488555457, 372374961, 596781264, 710035273, 372626671, 923959228, 198053231, 386520013, 802379653, 703194637, 800305265, 614865665, ( -1), ( -1), 100908902, 900329574, ( -1), 616747514, 896343517, 927885216, 998675748, ( -1), 197584974, ( -1), ( -1), 542396502, 820611994, 75421643, 790012616, ( -1), 782055474, 267794740, ( -1), 989125606, 393173956, 588825039, ( -1), ( -1), 907685787, 954793942, 611977792, ( -1), ( -1), ( -1), 446667466, 150249051, 906046593, ( -1), 320995459, ( -1), 59183876, 629214478, 309071252, 215917026, 410277302, ( -1), 940209194, ( -1), 144753247, 312332299, 484053016, ( -1), 919806664, 188200245, ( -1), ( -1), 132087709, 68727336, ( -1), ( -1), ( -1), 103776770, 794853877, 617724940, 473044045, 130668823, ( -1), 71752663, ( -1), 689101668, 311230058, ( -1), 508417335, 700224912, 653469633, ( -1), 464229323, 408972935, ( -1), 178741871, 628792427, ( -1), 507263042, ( -1), 449065255, 743128031, 90190189, 129591007, ( -1), 959524141, 307651105, ( -1), 426529000, 42183846, 569898359, 667253669, ( -1), 709582111, ( -1), 536352002, 453883831, 535251683, 70593439, 323842166, 460943013, 283778487, 468122093, 229230603, 238272621, 412343481, 836898234, ( -1), 679163779, 319675161, 897635876, 348597471, 109318799, 933091103, 122795510, ( -1), 929993106, 558803871, 741498762, ( -1), ( -1), ( -1), ( -1), 530866049, 324819007, 372511842, ( -1), ( -1), 258117679, 405220537, 161346553, 809750944, 552962449, ( -1), ( -1), 950493389, 652698115, ( -1), 837389542, 415500941, ( -1), ( -1), 940018970, ( -1), 272474089, 27938339, 511284063, 82206258, 786479026, 838137073, ( -1), 301940128, 296488497, ( -1), 908837960, 919561002, ( -1), 895149722, 187449439, ( -1), 920726580, ( -1), ( -1), 266419195, 832330314, ( -1), ( -1), 274635361, 339736792, 418617431, ( -1), 215020175, 267565581, ( -1), ( -1), ( -1), 616707660, 949677820, 430293637, ( -1), ( -1), 891078771, ( -1), 789785048, ( -1), 735054061, 362066084, 881788131, 395982723, 446434711, 901751515, ( -1), 451495821, 552098786, 886898175, ( -1), ( -1), 181373917, 708543346, 348778430, ( -1), 356659901, 58810368, 525425016, ( -1), 258468387, 823927827, ( -1), ( -1), 692422168, ( -1), ( -1), ( -1), ( -1), ( -1), 987325086, 465685333, 831119250, 830134183, ( -1), ( -1), ( -1), 560380099, 411570388, ( -1), ( -1), ( -1), 529132469, 579259258, ( -1), ( -1), ( -1), 173939513, 980311142, 95432643, 739669067, 829735090, 657886599, ( -1), 596119550, 663077477, 243519181, 575462673, 96057937, ( -1), 280135439, ( -1), 30256464, 628983810, 480188384, 986599538, 529132631, ( -1), 530338589, 18668369, ( -1), 399739339, ( -1), ( -1), 430731880, ( -1), ( -1), ( -1), 629929782, 222583910, 646757240, 265212890, 740223567, 245960126, 45565852, 374917692, 832111548, 141107066, 295088547, ( -1), 960575859, 34214754, 893603419, 783609328, 630311106, 900269872, ( -1), 23637389, 792297507, 653896303, 66589913, ( -1), 111819465, 769905455, ( -1), 376520044, ( -1), 117406477, 439245065, ( -1), ( -1), 403498413, 552265266, 590802753, 547997057, ( -1), 686360910, 324757733, 594650502, ( -1), 170366531, 289634822, ( -1), 143911243, ( -1), 87076380, 264449091, ( -1), 20867205, ( -1), ( -1), 857552556, 728420746, ( -1), 240647056, 837056600, 290126713, ( -1), 317906840, 184877368, 568627472, 213263629, ( -1), ( -1), ( -1), 776140583, 508994904, 489442154, ( -1), 560345385, ( -1), 433424215, 357105783, ( -1), ( -1), 961580410, ( -1), 869675291, ( -1), 547774813, 583704267, 318357990, 478274487, ( -1), 713918093, 316325243, 678682233, ( -1), 340917838, 232783617, 273086265, 189485412, 562692126, 101909460, 533888281, ( -1), 967915995, ( -1), 623286282, 168656435, 268447095, 877833991, 80733657, 489705884, 720156545, 410877570, ( -1), 181194940, 873341450, ( -1), ( -1), ( -1), ( -1), 173133228, ( -1), 171313274, 831981683, 154439615, 918667700, 551466793, 43408186, 817249343, 279939832, 7246069, 67878301, 273038224, ( -1), ( -1), 443402384, 473136604, 34189797, 887130658, ( -1), ( -1), 326007833, ( -1), ( -1), ( -1), 368893939, 401295517, 46017145, 568740746, 523733513, 854255231, 946106668, ( -1), ( -1), 651537713, 812855461, ( -1), 738387555, 343454563, 778642005, 974001376, 421783825, ( -1), ( -1), 202299624, 736977303, 20495283, 559698683, 305774536, 481072503, ( -1), 661074938, 927326498, 938386614, 183469656, 643260126, 454419762, 540184933, 442512928, ( -1), ( -1), 75439535, 789684963, 673526260, ( -1), 640263223, 47756970, 406544278, 517767403, 619642158, 25042025, ( -1), 697825165, 779042924, 579118755, ( -1), 297529675, ( -1), 763154836, 370713283, ( -1), 208904777, ( -1), 977081290, 61592673, 726304006, 314058472, 183936070, ( -1), 57913769, ( -1), 590979181, 404606895, ( -1), 112956062, 839516600, 725174965, 477959458, ( -1), ( -1), 7361240, 47263593, 669872478, 498699538, 956743213, 761625884, 487278198, ( -1), ( -1), ( -1), ( -1), 690685309, 964080461, 545596961, 238029998, 221120579, ( -1), 263450943, 871495942, 888456091, 54727456, 128153993, 667597278, 45072595, ( -1), 915492395, 580365632, 551514191, 373036144, 87754243, ( -1), 405245042, ( -1), ( -1), 851550975, 917780743, 424240095, ( -1), ( -1), 621663030, 148645078, 219479988, 400640836, 950546821, 44216197, 19509020, 49837024, 943948084, ( -1), 815098354, 864678819, 108225038, ( -1), ( -1), ( -1), 928109530, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 683039985, ( -1), 220183941, ( -1), 558663476, 440677315, 469787604, 355218287, 212329797, 417869474, ( -1), 557297676, 31165498, 98900270, 365384179, 139689028, ( -1), 930078834, ( -1), ( -1), 911745789, 706552176, ( -1), ( -1), 649138155, 779433376, 828965647, 677507878, 353434791, 361628994, 770613654, 341472193, 269369547, 166012503, 832067475, 187819376, ( -1), ( -1), 7241649, 360233868, 814081681, 168625088, 330915541, 434692113, ( -1), 672148462, ( -1), 397100026, 338174576, 268435658, 522912474, 724547431, 232461630, ( -1), 374440662, 450366560, 190999105, 594911275, ( -1), 558311418, 168403328, 499274218, 465665538, 494475296, 97570820, 760173665, ( -1), ( -1), 225900519, ( -1), 133980306, 206237329, 602416617, 684075700, 805101707, 13856842, 387260928, 300569919, 16523779, 737642038, 11420016, ( -1), ( -1), 773506216, ( -1), ( -1), 154422417, 248638792, 626267034, 539046417, 508192403, ( -1), ( -1), ( -1), ( -1), ( -1), 941625273, 612193912, 566870256, 408979995, 949215177, 68859502, 871446040, 374745193, 620302605, 635744547, ( -1), 854412402, 659708417, 440231972, ( -1), ( -1), ( -1), 48575118, 948729122, 147075887, 383302699, 230681769, 934661167, ( -1), ( -1), 103566903, 289016065, 210129231, 78197645, 338771959, ( -1), 395596526, 576784676, ( -1), 653188271, ( -1), 963018198, 536011455, 819186398, 340932501, 919250936, ( -1), 90423829, 528696497, ( -1), 964570410, 516646874, 63414898, ( -1), 741622533, 568001420, ( -1), 63349447, 122150804, 294134599, 989681979, 957098973, 927414043, 778859214, 623652985, ( -1), 283938789, 926668937, 829121344, ( -1), 925686972, 435648148, 274009552, ( -1), 295424402, ( -1), 877645477, 91329785, 179566352, 635284078, 668393219, 345389499, 621303695, 497759805, 436114636, 763587409, 845845236, 799400089, 711627267, 439941398, 167570740, 69036972, 614359182, 624851266, 5168535, 61419954, 55943099, ( -1), ( -1), 243192939, 66383380, ( -1), 365186448, 83637477, 878804469, 72873151, ( -1), ( -1), 675513468, ( -1), ( -1), ( -1), ( -1), ( -1), 483215888, 181651046, ( -1), 274806635, ( -1), 323778809, 260900589, 758365992, 50784855, 510609478, 432117834, 70440980, 27121273, ( -1), 680832081, 19960520, 924142338, 846630444, 30776369, ( -1), 107786377, 625144429, 947068751, 83890570, 916437702, ( -1), 513616054, 526559833, ( -1), 817002532, 962933735, 649318857, ( -1), ( -1), ( -1), ( -1), 109305598, 601477293, 910610928, 484690502, 981019275, ( -1), 690031878, 533961464, ( -1), 149516999, 781222313, 300114278, 479715669, ( -1), ( -1), 436800360, 759056926, ( -1), ( -1), 305233329, 912002392, 608733451, ( -1), 815933835, ( -1), 945235265, ( -1), 866116664, ( -1), ( -1), ( -1), ( -1), 923990293, 196985081, 272701637, 507634232, 634076884, ( -1), 886228897, 211074734, 560160607, 602983382, 422520531, 831380971, 283943250, 616945186, 132481353, 777838528, 515093568, ( -1), 434595012, 309523700, 485799756, 120500792, 333002120, ( -1), 884320377, 314239173, 94317545, 481360279, ( -1), 669155815, 887830505, 588320742, 457592509, ( -1), 51234778, 414509940, ( -1), 768889809, 635745417, 694742290, 592700511, 256196221, 882680581, 764091136, 496925949, 776767070, ( -1), 584647748, 779150233, 147533235, ( -1), ( -1), ( -1), 133574230, 575163403, 66492079, 890675915, 502715522, 398774856, 724938163, ( -1), 673049579, ( -1), 6650081, ( -1), 763421814, ( -1), ( -1), 904129310, 65320290, 642228850, 101840549, 262667862, 684618460, 307740009, 796190464, 710008551, 597244605, 504545951, 385343080, 619468472, ( -1), 283049547, 560597128, ( -1), 952284537, ( -1), 108078421, 292282159, 122825175, ( -1), 149141618, 167094201, 193591193, ( -1), 456809455, 294397159, ( -1), 425989148, 186094516, ( -1), 595096857, ( -1), 483350798, ( -1), ( -1), 848342647, 595595646, 829677352, ( -1), 133938342, ( -1), 585125238, ( -1), 604050037, 283137923, 314140299, 641176688, 747198303, 306737676, 101144798, ( -1), ( -1), 618151684, ( -1), 422230923, 30134208, 288749931, 573136827, 964121808, 822106807, ( -1), 73322672, ( -1), ( -1), ( -1), 639131516, 649864244, 445193683, 739250297, 559377383, ( -1), 927790120, 310339841, ( -1), 517359622, ( -1), 561733594, 266109074, 228901097, 678744378, 466452835, 846142381, ( -1), 78883758, 676640762, 993118842, 41624057, 386763107, 780043347, 730068050, 658005527, ( -1), 877038172, ( -1), 154896952, 13565777, ( -1), 71769864, 123166534, 212498368, ( -1), 235405421, 786470118, 788615581, 370434103, 512530479, 565716498, 504375963, ( -1), 793317230, 783966535, 682478159, 114402843, 4538535, 579118387, 783773905, 637341311, 98239451, 964271121, 800328928, 242860887, ( -1), 386588088, 345332614, 872978563, 667600214, 345324478, 57160622, ( -1), ( -1), 362959480, ( -1), 663513193, 496515902, ( -1), 200884392, 200410593, 529300604, 71231524, 925385549, 119095370, 961172641, 152289519, 128722239, 74962145, 196974318, 934232191, ( -1), 719012490, 590914846, ( -1), ( -1), 168843596, ( -1), 763265209, 949597884, ( -1), ( -1), 375724522, ( -1), 207324045, ( -1), 555453108, 156007411, ( -1), 147597576, 947835183, ( -1), ( -1), 349943175, 107626093, 895679258, 706391427, 159811355, 451289165, 451560367, 667859378, 344577451, 3381458, 322255471, 883473449, 252199917, 499838794, 384307514, 842541890, ( -1), ( -1), ( -1), 554321407, ( -1), 861789661, 430936311, 310109216, 278841739, ( -1), 653390580, ( -1), 62441585, ( -1), 682354075, 584651266, 816722686, 738633526, 482909196, 531173217, 71447588, 74983216, ( -1), 487272707, 733077345, 630748836, 266276282, ( -1), 874832628, ( -1), 233402391, 788754816, 332005587, ( -1), 671645663, 352360065, 748871377, ( -1), 116655863, ( -1), 231168345, 289124099, 656284254, 741289561, ( -1), 365043160, 75494911, 775140368, 35478883, 276988743, 458883260, 59990155, 362059318, 803502151, ( -1), 956930191, 262228269, ( -1), ( -1), 777411234, 397464275, ( -1), ( -1), 230153449, ( -1), 359343324, 499707200, 478802788, 980722889, 856242892, 252647495, ( -1), 553272001, ( -1), 272513365, 659737058, 354199447, 637083710, 545537922, 389192393, 256919888, 80468751, 502018150, 370225709, 614572509, 674572309, 578095016, ( -1), 264614150, 964024413, ( -1), 109538058, ( -1), 444583865, ( -1), ( -1), 460138220, ( -1), ( -1), ( -1), 956503795, 762854300, 673691708, ( -1), ( -1), 96844247, 14724038, 355483516, 523588319, ( -1), 502337996, ( -1), 279589268, 111322707, ( -1), 532025503, 994634045, 563395855, 914661018, 605402550, 265908536, 770750913, 932275317, ( -1), 527508564, 689233276, 516336345, 989580438, 136365045, ( -1), 311040829, 472818205, 882978979, 479678088, ( -1), 989151203, 535546559, 522287189, ( -1), ( -1), 842712203, ( -1), 600742718, 907143030, ( -1), 875130402, 945341399, 521322992, ( -1), ( -1), 287078245, 372530472, 406313063, 334900779, ( -1), 176327824, 83842187, ( -1), 550576510, ( -1), ( -1), 455295633, 92972845, 489136113, 443258471, 970989158, 742750844, 742739381, 817400697, ( -1), 436274502, ( -1), 206713459, ( -1), 754112579, 32892219, ( -1), 440503114, 718701394, 625863801, 279960806, 698787317, 83796715, 988209164, 609955275, 962270771, ( -1), ( -1), 281073017, ( -1), 853197502, 953060007, 215741806, ( -1), 180801553, ( -1), 377344712, ( -1), 466198490, 642717755, ( -1), ( -1), 338723560, 919100547, 69672656, ( -1), 970217191, ( -1), 780274961, 966928065, ( -1), ( -1), ( -1), 832731492, 628747674, ( -1), ( -1), 795372328, 439378433, 866359930, 852017579, 670697492, ( -1), 262159383, ( -1), 761756809, 970329099, 647723210, ( -1), 431594001, 5302433, ( -1), 792453110, 3261421, 162289163, ( -1), 132893771, 483454238, 44288935, ( -1), 422913408, ( -1), ( -1), 458370139, 561948625, ( -1), 680027156, 952640871, ( -1), 988176208, 162965643, ( -1), 275347876, ( -1), 621802539, 913729529, ( -1), ( -1), 633640390, ( -1), 771972752, ( -1), 633014809, ( -1), 741757722, 414228460, 447374929, 201826718, 784478018, 400820783, ( -1), 724668800, 992670503, 516582055, 670024739, 11225135, ( -1), 694207064, 735155659, 145482860, 567039511, 74112937, ( -1), 750932947, ( -1), ( -1), ( -1), 134671259, 848284304, ( -1), 223444365, 983298719, 300123982, ( -1), 323662765, 841286480, 675518391, ( -1), 659964165, 290563489, 272677202, ( -1), 204975617, ( -1), ( -1), 867090985, 917048401, 993154741, ( -1), 565695512, 259908078, 760646904, 303959971, 545285279, ( -1), 132833700, 509202945, ( -1), ( -1), ( -1), 810372971, 660484688, 658952920, 19581520, ( -1), ( -1), 806407587, 458556233, ( -1), 510577992, 384935187, 856877644, 85750892, 695438439, ( -1), ( -1), 613242185, ( -1), 709407899, 40518845, ( -1), 256146490, 547763572, ( -1), 798127182, 315318556, 762423266, ( -1), 515280079, ( -1), ( -1), 37586843, 920264877, 333067089, 243932256, 526594991, 381610415, ( -1), 70242288, ( -1), 373643790, 479790786, 68378910, 709704299, ( -1), 577391172, ( -1), ( -1), 662133728, ( -1), 643399791, 362317351, 419161805, ( -1), ( -1), 592161781, 891334019, 385123893, ( -1), 458124916, 586899701, 220677697, 112747003, 773444403, ( -1), ( -1), ( -1), 870223445, 493754270, 818485331, 581694944, 224021657, 71427648, 192433227, 111960501, 542571751, 245403999, 213415333, 666404738, 694992085, 673498215, ( -1), ( -1), 775320347, ( -1), 561704331, 45400836, 624724340, 498341341, 552954156, ( -1), ( -1), ( -1), 440993931, 180070696, ( -1), ( -1), 860518950, 944242403, 320011965, ( -1), 129119606, 272754297, 204414954, ( -1), ( -1), 62985162, 36530945, 480459111, 573123283, 189503951, 238289348, 966503812, 621312039, 833778841, ( -1), 245167961, ( -1), ( -1), 105598127, ( -1), 846827920, ( -1), 996988327, ( -1), 115618079, 370812611, 218069994, ( -1), 317597893, ( -1), 503354514, 87285460, ( -1), ( -1), 920668561, ( -1), 881689890, ( -1), 238885031, ( -1), ( -1), 442832451, 477967979, 733266759, ( -1), 915128749, 989738551, 209542136, 753115426, 740353371, ( -1), ( -1), ( -1), 611612430, ( -1), 785833533, ( -1), ( -1), 385839068, 69650176, 784088564, 748542500, ( -1), 386252272, 955522789, 507013684, ( -1), 593213593, 905256168, 272716930, 515374630, 198763422, 921521592, 996847154, ( -1), 449775792, ( -1), 869885445, ( -1), ( -1), 427878549, 15345470, ( -1), 656204069, 451842458, 697313716, 41296689, 706601230, 480921486, ( -1), 852091550, 464959963, 512104857, 747311844, 407831554, ( -1), 831329166, 663094266, 943265910, 550100023, 803962152, ( -1), ( -1), 970283582, 624348656, 476454419, 37969382, 27731166, 685242378, ( -1), 791897381, 275364002, 773396361, 782065889, 522786262, 118751444, 868714340, 504714554, ( -1), ( -1), 584620250, 758763435, ( -1), ( -1), 858115535, ( -1), 735649228, 333943809, 811642251, 371939288, ( -1), ( -1), 281564084, ( -1), 626673290, ( -1), ( -1), ( -1), ( -1), 907116888, ( -1), ( -1), 255015218, ( -1), 726957018, ( -1), 817833177, ( -1), 414871791, 655354902, ( -1), ( -1), 534430597, 990609921, 597598129, ( -1), 563104204, 918748869, ( -1), 195923814, 408757006, 148077879, ( -1), 410375531, 417938164, 530864403, ( -1), 616744805, ( -1), 979460726, 821530643, 773844023, ( -1), 438774942, 924041103, ( -1), 846130619, ( -1), 324396628, 417663181, ( -1), ( -1), 611436321, 425763500, 516951984, 368383954, 602806119, 255663244, 902992450, 840797806, 558694183, ( -1), 948420826, ( -1), 308317778, 566439660, 135940225, 696264867, 948776160, 695048963, 643290287, 629632627, 922543832, 506162107, 756182359, ( -1), ( -1), 476132609, 346106363, 478765317, ( -1), 527749909, 227855995, ( -1), 447000732, 138618816, ( -1), 670532177, ( -1), 201685847, ( -1), 888937990, 770819399, 220867920, ( -1), ( -1), ( -1), 800073629, 821981429, 429809322, ( -1), ( -1), 794448862, ( -1), 389169857, ( -1), 927541518, 750401995, ( -1), 621258935, 227479032, ( -1), ( -1), ( -1), 216756893, 587057541, ( -1), 33791331, 954887246, 527441347, 408270629, ( -1), 43329811, 71516385, 43417340, 508821370, 769702378, 537612630, 821782430, 961808217, 228638850, 814367799, 3921645, 962870398, 590724929, 521084292, 58769379, 436793534, 123317013, ( -1), 37458054, ( -1), 361495486, 895465263, ( -1), 642899725, 969569454, ( -1), ( -1), 937953741, 757148889, ( -1), ( -1), 661813451, ( -1), 664174555, ( -1), 761428599, ( -1), 678913004, 411462653, 536061274, 706952662, ( -1), 968859930, 490986278, 480695081, ( -1), 749613989, ( -1), 39172380, ( -1), ( -1), 24460823, ( -1), 825991735, 591278547, 54696267, ( -1), ( -1), 55608572, 41717373, 27923614, 15945804, 750067385, ( -1), ( -1), 583447407, ( -1), 677885798, 101543361, 249887477, ( -1), 419022277, 307923978, 632237845, 671550223, 99366676, 306980248, 527686734, 19335808, ( -1), 12463919, 570805757, 617071069, 828107461, ( -1), 624810226, ( -1), ( -1), 141195779, 261607354, 768103629, ( -1), ( -1), 612326591, 726790167, ( -1), 910220688, 739407232, 912242435, ( -1), 260594735, 935058320, ( -1), ( -1), 443572727, 905431411, ( -1), ( -1), 172181967, ( -1), 393710222, ( -1), 270521835, 710753182, 420412572, ( -1), ( -1), 660712855, 415450249, 83437367, 165505502, 935581541, 101456290, 467427191, 903914297, 848100957, ( -1), ( -1), ( -1), 135281298, ( -1), ( -1), ( -1), ( -1), 340222190, 582063445, 561399722, 484917849, ( -1), ( -1), 598602916, 90834551, 419066600, ( -1), 729124951, ( -1), 539539667, 822053513, 578539463, 807563648, 421974855, ( -1), ( -1), ( -1), 973733233, 670497797, 76745577, 891994450, 96601512, 295278530, 571435510, 320859410, ( -1), ( -1), 810468106, ( -1), ( -1), 521626986, 75829645, ( -1), ( -1), ( -1), 190234590, 969509171, 928350064, 651394066, 212723676, 717929453, 755659774, 109187776, ( -1), 834155855, 70703156, 981872211, 130189746, 82292503, 993037008, 977364862, 674027952, ( -1), 989707030, ( -1), 782159449, 246866367, 18817634, ( -1), 926538427, 365838679, 809645196, 354475687, 393091457, 376369738, ( -1), 539240477, 160146517, ( -1), 4638169, ( -1), ( -1), 263247487, 53794550, ( -1), 124244394, ( -1), 455256729, 223399022, 262288227, ( -1), ( -1), 769336543, 23000395, ( -1), 720404245, 606833109, 336581314, 452226679, 68896963, 192634651, 844105011, 537804444, ( -1), 33734, 757848086, 851759441, 666635696, ( -1), 804920538, 815464796, 841563014, 119646476, 391061871, ( -1), ( -1), 400001151, 438355995, 474681503, 51216521, 749109629, ( -1), ( -1), 550860072, ( -1), 467831003, 185892491, 298070065, 707996851, 4371199, 262319603, ( -1), 665846139, ( -1), ( -1), 232048974, ( -1), ( -1), ( -1), ( -1), 367598207, ( -1), ( -1), ( -1), 928399261, 39304494, 725021358, 729145425, 67455279, 592078409, 699713954, 384442244, ( -1), 409022315, 729275949, 139901605, ( -1), ( -1), 733598626, 435211853, ( -1), ( -1), ( -1), 171637473, 574141681, ( -1), 465820913, 254324178, 259793078, 445693895, ( -1), 191139337, ( -1), 660638, ( -1), ( -1), 410883784, 218352243, ( -1), 17580625, ( -1), ( -1), 53077153, ( -1), 962673712, 380935437, ( -1), ( -1), 539262616, 961390778, 116777432, ( -1), ( -1), 415912324, ( -1), 688848286, ( -1), 105863566, 43233156, 336437772, 604616658, ( -1), 55941867, 706043775, 724527547, 640005515, 62297309, 53434344, 580893330, ( -1), ( -1), ( -1), 235402186, 790810792, 577967373, 164055973, 33073425, 736154886, 542447600, 90319527, 14178915, 604332613, ( -1), 639315676, 188525397, 189924835, 50325579, ( -1), 550207945, ( -1), 827382828, ( -1), ( -1), 482912327, 193142834, ( -1), 489375200, 25513818, 962632490, 109679346, 639673772, ( -1), ( -1), ( -1), 20526104, ( -1), ( -1), 751014709, 322169341, 50392995, ( -1), 736974902, 267306540, 931661648, 659314731, 661150325, ( -1), 944729818, 953623536, 128609511, 234760585, 939895721, ( -1), ( -1), 423966698, 414751333, ( -1), ( -1), 673905602, ( -1), 241949061, ( -1), 323019538, ( -1), ( -1), ( -1), 902134476, ( -1), ( -1), ( -1), 548069485, ( -1), 206515757, 392468601, 973441970, ( -1), 60604365, ( -1), ( -1), 175370028, 708722951, ( -1), 167419154, 133911873, ( -1), 887964863, 709899333, 643760321, ( -1), 92296349, 432027110, 443443458, 554508032, ( -1), 849064980, 366729344, 648612756, 247165521, 474444394, 133492733, 287375645, 613075845, 952406915, 960082923, 254899805, 782008101, 302278719, 514541361, 143857955, 478014136, 30216591, 211299051, 463961759, ( -1), 30300669, 976550750, 936792556, 741836668, 712558593, ( -1), 249897698, 505000863, 280857090, 505177210, 746885197, 899860290, 565343896, 520732051, ( -1), 870280539, ( -1), ( -1), 375645856, 736450926, 709920594, 291522018, ( -1), 300730667, 523997461, 920648324, ( -1), ( -1), 784227962, 122931145, 747196124, ( -1), 442558815, 105303060, ( -1), 462369697, 801209980, ( -1), ( -1), 805415935, ( -1), 44550166, 332142510, 792478587, ( -1), 571930499, ( -1), ( -1), 176688641, ( -1), ( -1), 213495822, 828890255, ( -1), ( -1), 90053283, 31400906, ( -1), 249413699, 389946861, ( -1), ( -1), ( -1), 693610177, 687870480, 802551037, 645711379, ( -1), 358313151, ( -1), 299053180, 533065328, 427584517, ( -1), 394848706, 520803378, 99354364, 42794176, ( -1), 228969023, ( -1), ( -1), 696286313, 284070257, 135204495, 151820918, 377484219, 159672566, 503552979, 203741988, 142057820, 657834111, 912161783, ( -1), ( -1), 53086285, 634052405, 830348042, 888398426, 341269928, 911085168, 561578075, 250258875, ( -1), 268755907, 445798245, 683950820, 982964794, 640890591, ( -1), ( -1), ( -1), 592755648, ( -1), 222661747, 720131138, 761480044, ( -1), ( -1), 697743681, ( -1), 735279987, 461944749, 439860489, ( -1), 547536514, ( -1), 432871470, 747804640, ( -1), 308803039, 759777066, ( -1), 898968679, ( -1), 812044150, ( -1), 419179059, 824418221, 445869219, ( -1), 760465322, ( -1), 968723398, 47973805, ( -1), 195795313, 788778536, 466435048, 175931905, ( -1), 718591822, ( -1), 253900190, 60008968, ( -1), 377950400, 758827313, 219362304, 148242680, 929986974, ( -1), 492146991, 71934999, 533921789, 561210901, ( -1), 822896938, ( -1), 803361963, 230207534, 918487908, 405577322, 345437932, ( -1), ( -1), 721475560, 497118389, 706700290, ( -1), 641573250, 872549890, 344825209, ( -1), 404721728, 154090248, 2602214, 489139590, ( -1), ( -1), 842737183, ( -1), ( -1), 579525483, 618716858, 94502013, 630602208, 747055671, 831284705, 640001345, ( -1), 931375674, 533572707, 612255449, 381452006, 334683056, ( -1), ( -1), 460599329, 817172545, 369101297, 360493102, ( -1), 314978576, 310718307, 708119639, ( -1), 887114341, 723877703, 472623430, 418573500, 17585707, 938639799, 730769132, 78546943, 352195075, ( -1), 71315151, ( -1), 360152659, ( -1), 962816137, 64068469, 251159031, 243267785, 277686633, 88281516, 108759838, 312192325, 695574819, ( -1), 250112795, 607997142, 838503147, ( -1), 436693361, 668846223, 979613063, 226084393, 485275777, 792928990, 63364493, 118915104, 627218454, 534878642, ( -1), 841470718, 31790443, 943642976, ( -1), 577058412, 384761408, 196419001, 769137158, 478677057, 660942817, ( -1), 695125556, 270391264, ( -1), 359405458, 966182183, 981734167, 637877968, ( -1), ( -1), ( -1), 919122327, 820402411, 788542194, 70475895, 946989809, ( -1), 763414181, 58703837, 275172145, 7098402, 760956008, ( -1), 966707150, 829893396, 931076044, 17567800, 526634772, ( -1), ( -1), 606309152, 165722666, 87849793, ( -1), ( -1), ( -1), 478754905, 253785760, 576936068, 228520161, 283348285, 840361598, 384542905, 527405207, 547087425, 742444608, 757187452, 882224691, ( -1), 355285891, 883716233, 186587213, ( -1), 640897217, 136532109, 350116943, ( -1), 200348068, 657425053, 815713799, ( -1), 64795414, 623923804, 710991585, ( -1), 836890212, ( -1), 365497006, ( -1), 964473062, 927743808, ( -1), ( -1), 894493048, 944823520, 853608695, 865944507, 4976082, 302901943, ( -1), 84707009, ( -1), ( -1), 55702804, ( -1), ( -1), ( -1), 642312173, 526058562, 270996282, 732496923, ( -1), 595745784, 127993324, 846219725, 774207797, 741357081, 293662453, ( -1), ( -1), 774360506, 994614237, ( -1), ( -1), ( -1), ( -1), 39406164, 253884174, ( -1), 523201796, 681633066, 281455996, 83715738, 690788658, 844040405, ( -1), ( -1), 123249664, ( -1), 941005596, ( -1), 961082211, 21596811, 715044723, ( -1), 658594828, 159158442, 239685396, 209945766, 387105971, 937689876, ( -1), 655473896, 972779050, 118926528, ( -1), 739493798, 399977835, ( -1), 733896625, 439866580, 478986617, 611826169, ( -1), 996222443, 573356051, ( -1), 63734122, 407120429, 304952418, ( -1), 948179964, 521613905, ( -1), 901468899, 202774042, 841617274, 907861331, 571448819, 816224947, 827023514, 357177665, 389612332, 803285177, 917123956, 15652291, 388175425, 880523191, 280687889, 262115995, 968138388, 841417212, 903267366, 20315144, ( -1), 577199149, 412838646, 745476841, ( -1), 622239825, 411626887, ( -1), 918129713, ( -1), 695400219, ( -1), 199884515, ( -1), 652353565, ( -1), 34803761, 436055341, 546995780, 283440283, ( -1), 598676093, ( -1), ( -1), 643822524, 209708203, 39314983, 147722182, 620401272, ( -1), 673155467, 670048372, ( -1), ( -1), 540166040, 611019452, 472335244, 24901811, 765627252, ( -1), 838547433, ( -1), 103359452, ( -1), 918559822, ( -1), 871758021, 32183306, 891511828, ( -1), ( -1), 668737465, 465459108, 100530983, 113150683, ( -1), ( -1), ( -1), ( -1), 601317311, 299214554, 677796481, ( -1), 112289536, ( -1), 146591682, ( -1), ( -1), 393106304, ( -1), 599319490, 53179525, 256138269, 142973519, ( -1), ( -1), ( -1), 250860118, 60074870, 363874330, ( -1), 534041291, 335601107, ( -1), 1041331, 208001112, 303971373, ( -1), 698260069, ( -1), 18834096, ( -1), 369328873, ( -1), ( -1), 88680940, ( -1), ( -1), ( -1), 242385914, ( -1), 820628839, 584695228, ( -1), ( -1), ( -1), 993660158, ( -1), ( -1), 614833569, ( -1), 495538404, 851999240, ( -1), 863200429, ( -1), 164755833, 843380230, 843103235, 633758745, ( -1), 775384776, 528802743, 392063078, 395976576, 539151163, 161941564, ( -1), 32406422, ( -1), 514026234, 523266217, ( -1), ( -1), 736409644, 939678978, 58111744, 938180525, ( -1), ( -1), 563511288, 442686742, ( -1), 839630320, 321838594, 661627979, 59657202, ( -1), ( -1), 980787531, ( -1), ( -1), 72116327, ( -1), 528703046, 938342312, 930392760, 827208329, 759135397, 178090413, ( -1), 774407942, 474016897, 340757358, 973276724, 305350757, 826089682, 652711508, ( -1), 11760936, 396348771, 845124877, ( -1), 324713113, 954614192, 758517716, 806306919, ( -1), 723039894, 638103631, ( -1), ( -1), ( -1), ( -1), 311147784, 879654180, ( -1), 813197594, 428667986, 647796036, 955263324, ( -1), 651153450, 525955326, 33428828, ( -1), 870284307, ( -1), 587510152, ( -1), 936324005, 538125187, 433390992, 492523180, 952775225, 242404229, ( -1), 888746847, ( -1), 617491446, 494482505, ( -1), 79268684, ( -1), ( -1), 77471557, 372484809, 826308568, ( -1), ( -1), 915921137, 121775713, ( -1), ( -1), 739731867, 132719529, 34390544, 893469934, ( -1), ( -1), 663081083, 741273946, 584029436, 250757615, 746462501, ( -1), 709368080, 382304614, 767208928, ( -1), 456991781, 57151782, 525922773, ( -1), 510941939, 163225506, 437203900, ( -1), ( -1), ( -1), 596324710, 740224642, 354998156, 120123307, 43838386, ( -1), 568687720, 189499527, 167842323, ( -1), 754084118, 568209637, 583881231, 138641498, ( -1), 903145950, 701365608, ( -1), 961260756, 68498233, 848002147, 25787920, ( -1), 417101643, 593622560, 553153648, 162456589, 456042132, 78120019, 66825472, 908140785, 229416686, ( -1), ( -1), ( -1), ( -1), 866828876, 326941657, 288761141, 128868051, 773415707, ( -1), 885625170, ( -1), 800962012, 366125876, 186348989, 598461086, 949270539, 267712278, 197228201, ( -1), 110904339, 133869459, 589944015, 697028861, 428778085, ( -1), 121036095, 489643344, ( -1), 353836344, 67867052, 129185066, 35864711, ( -1), 489037230, 507080373, 194280051, 636321099, ( -1), ( -1), 861158008, 603944961, 143690191, 423638440, 209546713, 370384580, 644225257, 261671555, 479795789, ( -1), 948506058, 824122377, 293429006, 306642076, 620096322, ( -1), ( -1), 814607824, ( -1), 340386573, 434709786, 375857931, 400193702, 886603318, 296105953, 236991649, ( -1), 19294886, 625364859, 158039195, 835423552, ( -1), 32394048, 946165086, 1852653, 172372718, 298281867, 541688192, 701535153, 647347137, 148582205, ( -1), 208935144, 117865804, 642951032, 436453999, ( -1), ( -1), 570989630, 716661140, 515585207, 715592622, ( -1), ( -1), 527361402, 105660176, 563273577, ( -1), 803165379, ( -1), ( -1), 436565076, ( -1), ( -1), 634146273, 178555728, 517069629, 998630710, 760059425, 665702436, 115724809, 51341786, 324091335, 274120527, ( -1), 106897356, 318972946, ( -1), 329149017, 863929320, 613201611, ( -1), 266126635, 699598115, ( -1), 643910472, ( -1), 721609671, 661553526, ( -1), 20714926, 139272388, ( -1), ( -1), 225885961, 565215154, 234660634, ( -1), 714399449, ( -1), ( -1), ( -1), ( -1), 377920879, 434317283, 13998894, 282717962, 890448918, ( -1), 314285233, 200508803, ( -1), 775677109, ( -1), 230293642, 250862732, 121532380, 174863551, ( -1), 541426606, 828336734, 624163888, 492426689, 831133118, 844491147, 412150820, 548340769, 855963288, ( -1), ( -1), ( -1), 234278246, 894988896, ( -1), 501921697, 800298515, ( -1), ( -1), ( -1), 453223618, 919457669, 53633091, 158274989, ( -1), ( -1), 755999636, 399214750, 155057871, 381324272, 400064288, 326812709, 843402622, 588087907, 631728878, ( -1), ( -1), ( -1), ( -1), 366650591, ( -1), 206006338, 766540687, 353641776, 76429337, ( -1), 336218510, 658534974, 539741052, ( -1), 612010013, 149158610, ( -1), 601975074, 93160208, 262978035, ( -1), 459763833, 534562127, 453206056, 374545185, 983950188, ( -1), 297227262, 577852816, 644910651, 43025231, ( -1), 933585375, 549373745, ( -1), ( -1), 20240016, 390962740, 563527505, 918367905, 56174110, 599355570, 829349901, 540349350, ( -1), ( -1), ( -1), 340100517, ( -1), 223305471, 857820880, ( -1), 841321383, 543252798, 951724466, ( -1), ( -1), ( -1), 7274041, ( -1), 589721448, ( -1), 951595695, 477323546, ( -1), ( -1), 913457297, 657516453, ( -1), 680306204, 151585305, 368818333, 202533078, ( -1), 13646530, 153047701, 489297209, 180072178, 61613336, 97808943, 610191473, 583039015, 922496353, 126276408, 567196640, 509137930, ( -1), 291235566, 824299493, ( -1), 311601625, 186383099, 506405728, 311338284, 902240688, 110369591, 886790038, ( -1), ( -1), 511268019, ( -1), 338473637, ( -1), ( -1), 346932048, 287526752, 658814425, 895598917, ( -1), ( -1), ( -1), ( -1), 734833129, ( -1), ( -1), ( -1), 836291352, 773776928, 282412955, ( -1), 942445360, 782458380, 846050946, ( -1), 889092370, ( -1), ( -1), 981139917, 604249450, 391189982, 919162180, 407351097, 547402757, ( -1), ( -1), 500751977, ( -1), 920403241, 535229848, 427328135, 919315202, 236074653, 704779769, 545652992, ( -1), 589868788, 561799458, ( -1), 832353360, 819080473, 40014657, ( -1), ( -1), ( -1), ( -1), 447572407, 343002027, 709108129, ( -1), ( -1), 697382939, 374976789, 822101882, 938918492, 117780896, 602085540, 554593419, 785839303, 922903302, 484097333, 426881155, 428326741, 1390605, ( -1), 26345441, ( -1), 738333752, 420971242, 739198439, 229963240, ( -1), 842015242, 149567250, 573272738, ( -1), ( -1), ( -1), 31007241, 399380343, ( -1), 389390085, ( -1), 362538255, 126145837, ( -1), ( -1), 390119799, ( -1), ( -1), 369694727, 829932193, ( -1), ( -1), 769082592, 259734910, 624896186, ( -1), 477432173, ( -1), 601741421, ( -1), 294217813, 926424997, ( -1), 462338311, 405398694, 899440405, 489874139, 789391062, 366749836, 328503637, 220698202, 462189687, 417103196, ( -1), 714416491, ( -1), ( -1), 979904994, 536041708, 287873800, 252755070, 857793023, 550305222, ( -1), ( -1), ( -1), ( -1), 885052886, ( -1), 128378969, 979297565, 538318938, 329754937, ( -1), 686304974, 637859532, 862447867, 168715021, 769144784, ( -1), 802998077, ( -1), 201583320, 856996637, ( -1), 497153895, 44465853, 946138381, 501336453, ( -1), 281954174, 996210294, 723482092, ( -1), 796175822, ( -1), ( -1), ( -1), 665615384, 524927389, 503572558, 430506382, 716636462, 22295716, ( -1), 481108184, ( -1), 620127044, ( -1), 340548421, 887154555, 719724491, 915814075, 714001742, 565342002, 753559689, ( -1), 395340718, 906886936, 989974973, ( -1), 962662601, 644268315, ( -1), 892899074, ( -1), ( -1), 225952048, ( -1), ( -1), ( -1), ( -1), 312075310, ( -1), ( -1), 582004815, ( -1), ( -1), 489453361, ( -1), ( -1), ( -1), ( -1), 483859750, 446477771, 674325210, 295215870, 77466417, 676607030, 590842986, 611205949, 352683431, 840857391, ( -1), 671046648, ( -1), 304194185, 336421713, ( -1), 405449592, 465072076, ( -1), 957083078, 887597298, 907996928, ( -1), 357932336, ( -1), 533477850, 133376087, ( -1), 606607100, 191596634, 150587449, 122068545, ( -1), 246342010, ( -1), 436868612, ( -1), ( -1), ( -1), 337770150, 650068711, 500814951, 561381125, 547767091, 586217343, 246416165, 933271191, 131523638, ( -1), ( -1), 944159552, 567897611, ( -1), 399035406, ( -1), ( -1), 784614687, 314980743, 274373936, 241736022, 629108419, 836150814, ( -1), 812696313, 675888298, 977968105, 793804320, 708989415, 691035873, 477511846, 404814380, 206623246, ( -1), 926343910, 311546375, 792680789, ( -1), ( -1), ( -1), 52490969, 831800582, 265491208, 436807534, 491322718, ( -1), ( -1), ( -1), 201147619, 627118746, 686022573, ( -1), ( -1), 585020294, 202969454, 704642025, 25739640, 716821181, 744122691, ( -1), 164267120, 789264931, ( -1), ( -1), 138070868, 783479190, ( -1), ( -1), 987689225, 797084740, 188343011, 202486406, 768362341, ( -1), 531369932, 462142033, 570434219, 721197879, ( -1), 160118338, ( -1), 245319025, ( -1), ( -1), 470129300, 997822087, 762337238, 887763962, 823285763, 636198699, ( -1), 725082497, 156668818, 798762618, 472231486, 982025653, 276823673, 987895677, 697069998, 978645256, 925806801, 420541690, 45730698, ( -1), 786266742, 603217581, 583504515, ( -1), 923139190, 866192041, 947127662, 190666174, 623390991, 231047645, 26574076, ( -1), 380693259, ( -1), 130553660, 322546039, 598651254, 760302995, 910043560, ( -1), 663797221, 545961469, 304304160, 685084954, ( -1), 667003769, ( -1), 658536405, 498980031, 747777180, 912960661, ( -1), 280238055, ( -1), ( -1), ( -1), 224041588, 997010201, 313518744, ( -1), ( -1), 341153061, ( -1), ( -1), 438802465, 351164053, ( -1), 433767385, ( -1), 220843578, ( -1), ( -1), ( -1), 852277749, ( -1), 626025714, 522772038, ( -1), 552846537, ( -1), 741189767, 999198654, ( -1), 347282683, ( -1), 528763007, 592697120, 24280693, ( -1), 585508196, 90026510, 394859841, 13701118, 961931301, 513660748, 615162076, ( -1), 59469597, 827373230, 872161994, ( -1), ( -1), ( -1), 697498468, ( -1), 361024119, 119282212, 54193407, 702317767, 889683022, ( -1), 975934131, 1233940, 609216480, ( -1), ( -1), 502602176, ( -1), 606854874, 588797224, 98169864, 80561939, 785190538, ( -1), 302805653, 625583427, 122688682, 427590589, 304010369, 151760400, ( -1), 138382829, ( -1), 19402090, 420216977, 739616215, 910887115, ( -1), 761598124, 404501890, 766882240, 940879834, 473495197, 737333556, 741818938, ( -1), ( -1), ( -1), ( -1), 198963934, ( -1), ( -1), 980449538, ( -1), 125720183, 377099507, 1801840, 920826792, 908920220, 201698790, 194237140, 355444628, 281279321, 286724473, 447744247, 698115923, 325337159, 714374450, ( -1), 362338487, 155694694, 940504879, 791888201, 144960053, 190143584, 182423398, 172313126, 542874127, 641861956, 646162823, 495650578, 971631452, ( -1), ( -1), 240870608, 995238302, 525183205, 174289237, ( -1), 872217400, 111823070, 434376182, 580006220, 409115566, 832116691, 106765315, 118006517, 604579165, 382138528, 577285114, 438850832, 793891823, ( -1), 679857310, 483745032, ( -1), 367331931, ( -1), 347050373, 553634485, 795941233, 285009423, 442753062, ( -1), 817893060, 547520318, 788100336, 469900364, 712188795, 25553298, 164364964, ( -1), 360973738, 348685541, 181739793, 797314562, 777786389, ( -1), 840010531, 815426004, 648362020, 558800204, 710285221, 495568773, 55266115, 834182675, ( -1), 603152995, ( -1), 762171089, 647803327, 755989932, 759737001, 157187157, 370862933, 165474859, 194797371, ( -1), 340665978, 291152521, 16564376, ( -1), 662277894, 993389489, 964492378, 172963130, ( -1), 145743593, 266068841, 133171594, ( -1), 174797765, 343802304, ( -1), 151038890, 95378832, ( -1), 624683647, ( -1), 504204521, 207653257, 870629346, 941216686, ( -1), 536307716, ( -1), 68994498, 779907926, 112542215, ( -1), ( -1), 850616682, 997807913, 248692670, 137776182, ( -1), 727424791, 31747171, 709743706, 833513729, ( -1), 319716803, 646602186, ( -1), 972790378, ( -1), 802740219, 301464061, 173198107, ( -1), 407114829, ( -1), 524853538, 944156915, 232111769, 237624188, ( -1), 103782622, 168231874, 697360732, 591183594, 744423361, ( -1), 526142904, 68793671, 373981194, 881863145, 467842276, 255996987, ( -1), 324641797, ( -1), 794059095, ( -1), ( -1), ( -1), 308719634, 843888121, 439261015, 975645005, 180024180, 236703634, 304350348, 708528191, ( -1), 292129385, 925800677, 125151575, 282798887, 17225334, 864583409, 981455445, 556787233, 580581943, 335295683, 83855293, 657325460, 790072286, ( -1), ( -1), ( -1), 299344507, 358410134, 850251032, 476566501, ( -1), 764704599, 904617265, ( -1), ( -1), 827741532, 500714340, ( -1), 638960849, 172896343, 544240465, 449713940, 710232672, ( -1), 73911460, 823665254, ( -1), 336936658, 364401953, 768114402, 257918039, 217206823, ( -1), ( -1), 169788625, 440777055, ( -1), ( -1), 50529726, 761962271, 688678824, ( -1), 279986260, 579899074, 680886645, ( -1), ( -1), 588593465, 804697983, ( -1), 443012416, ( -1), 714007031, 860910292, ( -1), 899968197, 82987836, 742451748, 100324442, ( -1), 93588739, 71486943, ( -1), 795569978, 372633216, 668759502, ( -1), 292649361, 113742453, 249872454, 920882826, ( -1), 468613217, 624271043, 555476744, 821637538, ( -1), 125276695, 828976088, 924190754, 959426937, 335339915, 323506599, ( -1), 632442792, 587504105, ( -1), 461017971, 819677256, 73664239, ( -1), 370334681, 49357886, ( -1), 871775783, 155235246, 414318749, 978215551, 376409245, 882283583, 173137074, 649859426, 361450998, ( -1), 208598360, 297197512, 133677926, ( -1), 857204620, 786316871, ( -1), 770391090, ( -1), 187296852, 251943167, 317954992, 815897983, 118842502, 981997717, 356646789, 100506413, 35669237, 727727249, 106185000, 355909894, ( -1), 458896643, 809489811, 821586154, 211401675, 958018960, 422299480, 690807936, 956603634, ( -1), 218932290, ( -1), ( -1), 553807530, 823566115, ( -1), ( -1), 966792353, 603819832, ( -1), ( -1), 920847371, ( -1), ( -1), 644456138, 885214067, 230259915, 917104848, 492198178, 270107073, ( -1), 776323161, 71505137, 281912944, 67821348, 998517169, 543035180, 97628268, ( -1), 843913621, ( -1), ( -1), 288654150, ( -1), 346266754, 327801421, 198312764, 70407735, ( -1), 464026713, 795402127, 708942183, 448077884, 168749609, 56333967, 825124473, 74446792, 662207615, 725221148, 702879988, 492127351, 117116506, 282187043, 421839593, 729632498, 866040888, 120126094, 956581845, 252606296, 650231756, 832948404, 815113501, ( -1), ( -1), ( -1), 181662685, 973428925, ( -1), 719740457, ( -1), ( -1), ( -1), 347869542, 579304008, ( -1), 186034836, 237857674, 577415955, 647172716, 341610273, 809183780, ( -1), 235286174, 743227279, ( -1), 22601615, 199766074, 983439991, ( -1), ( -1), 320206144, 912449825, 846510788, ( -1), 893941509, 754340221, 864457868, ( -1), 505950939, 607760810, 709978294, 84510241, 359951665, 869458733, 866507064, 82419090, 646001613, 783684661, ( -1), ( -1), 109886853, 794815945, 566238877, ( -1), ( -1), 960217063, 306057444, 405461261, 743587136, ( -1), 115719967, 257739100, ( -1), ( -1), 938800060, 714960835, ( -1), ( -1), ( -1), 658969461, ( -1), ( -1), ( -1), 396369995, 18307417, ( -1), 41476946, 320088888, 821100829, 108722986, 305624593, 573671820, 737866500, 919290686, 658241127, 887255791, 489664855, 67562882, 267641837, 837177249, ( -1), ( -1), 828050902, 854204415, ( -1), ( -1), 999606501, ( -1), ( -1), 138369171, 745650902, 632591192, 560865542, 570889733, 872686614, 614694200, 209020112, 42320698, ( -1), 323992332, 592042611, 444525017, ( -1), 80981348, ( -1), 892685780, 821211071, 56159299, 830230641, 692687382, 796144773, ( -1), ( -1), 694832285, ( -1), 677550848, 49995335, ( -1), 988760729, 421166870, ( -1), 801557897, ( -1), ( -1), 757434878, 213849016, 446178071, ( -1), ( -1), ( -1), 347252115, ( -1), 182799438, 755642113, 13087860, 751938237, ( -1), 743980151, ( -1), 371330475, 527406934, 827105206, ( -1), 734972680, 514777073, 237090673, ( -1), 764367870, 271067808, 487956699, 572806605, 73059210, 159609834, 921805397, 316527075, ( -1), 533380591, 580273401, 814940711, ( -1), 28998744, ( -1), 420309079, ( -1), ( -1), 657185929, 938713211, ( -1), 479631622, ( -1), ( -1), 216368398, 833161304, 371419663, 749746460, 856583278, 439554793, ( -1), ( -1), 669522318, ( -1), 276650919, 390444165, ( -1), 414158899, 517216202, 10437019, 964971685, 321730327, 382197132, 878537017, 643269962, 342838557, 584676026, ( -1), 926083487, ( -1), 570173601, 562594221, ( -1), 956082000, 519135678, ( -1), ( -1), 834747104, 217532483, ( -1), 153265692, 517277996, 410157398, 895098333, 207012750, ( -1), ( -1), 295179739, ( -1), ( -1), 70876103, 703939530, ( -1), 984548348, 439140377, ( -1), ( -1), 854876998, 458137941, 2337747, ( -1), 205869423, ( -1), 129100565, ( -1), ( -1), 897025365, 313228152, ( -1), 858637158, 260177168, 673930746, 907296271, 635252324, 156701796, 950468661, ( -1), 883062488, 199845338, 212941171, 318413599, 510343548, 298700003, 698289558, 993222540, 77859119, ( -1), 552283498, ( -1), 441363197, 477163736, 251363202, 712816986, ( -1), 503282481, ( -1), 828290980, 587022974, 367459963, 228301265, 316134031, ( -1), ( -1), 470941502, 166433728, 790054141, 227797768, 779136426, 553443917, ( -1), 230631918, 760460542, 459850132, ( -1), 658141369, 581029365, ( -1), 782842648, 478706781, 484759328, 837967933, 252875774, 825499581, ( -1), 90783011, 819590472, 832084647, ( -1), 856393989, 864711590, 79664128, ( -1), ( -1), 852797602, 567750103, ( -1), 49341226, 710212986, 865971431, 448882944, 511291268, 233097646, 995431747, 807890823, 201647214, 793892987, 529133597, 843971894, ( -1), 657519308, 141474232, ( -1), 88352205, 838326370, ( -1), 487189564, 59810648, 223203667, 370407872, 419965113, 114233038, ( -1), 28884711, 504969469, 637407889, ( -1), 810190726, ( -1), 781942623, ( -1), 791128799, 972838881, ( -1), ( -1), 156703116, 44913464, 875325940, ( -1), ( -1), 352482269, ( -1), 606439685, 311710497, ( -1), 52597514, ( -1), 373819176, 914749621, 409965037, ( -1), ( -1), ( -1), 730432051, ( -1), 383262137, ( -1), ( -1), ( -1), 216380932, 783330417, 761584220, 973841334, 578266257, ( -1), ( -1), 478461341, 830871056, 741859468, 35676689, ( -1), 313328622, 873779310, 444830615, 535144757, 560380106, 260894399, 445290453, 15095032, 902950266, 979229112, 731172028, 871554748, 851994592, 632423608, 293837204, 821189087, 65301411, 680150121, 103241018, ( -1), ( -1), 287990942, 324615891, 105937885, 405129633, ( -1), 61022239, ( -1), 642030007, ( -1), 252690661, 830329826, 747951989, ( -1), 167449983, 670196420, 422891297, 377615905, 708340203, 277354199, 369021675, ( -1), 826645665, 80321236, 32307516, 541227501, 423913925, ( -1), ( -1), 294753996, ( -1), ( -1), 814145602, 194375688, 925604124, 895172254, 408041088, 661618315, 340755428, 135777548, 148898629, 226651734, ( -1), 758751213, ( -1), 592588409, 600237290, ( -1), 744828618, 860517200, ( -1), 966968463, 974842199, 852405670, 235002318, 548909882, 231094271, ( -1), ( -1), 276693034, 1800988, 812972274, ( -1), 589340454, 257741632, ( -1), ( -1), 141986597, 412903744, 653178488, ( -1), ( -1), 730180568, 981958583, 674278074, 892830698, 689056064, ( -1), 504686185, 553395272, 8318007, ( -1), 918810295, ( -1), 937755205, 944811860, 224556832, ( -1), 464479686, ( -1), ( -1), 241943808, 754417802, ( -1), ( -1), ( -1), 703839347, 165957347, 766618604, 850552813, 661811656, 466983707, ( -1), 556197358, ( -1), ( -1), ( -1), 262724766, 407944308, 481229495, 568860816, 80385503, 694667052, 7035780, 873129722, ( -1), 315972614, 297689201, ( -1), ( -1), 386751183, 643764822, 84395013, ( -1), ( -1), 303824007, 254232351, 846120708, 856713122, 118896074, 245513996, 470976394, 777489534, ( -1), 249814642, 791976549, ( -1), 860381609, 16326696, 337398505, ( -1), 986453942, 637682863, ( -1), 502179815, 902711800, 271155798, 577771225, ( -1), 995312236, 602156486, ( -1), 361932379, ( -1), 650565620, 699075552, 439054182, ( -1), ( -1), 316228884, 248954528, 204694521, ( -1), 169409593, ( -1), 124551154, 496784234, 4940457, 305893934, ( -1), 516550419, 143096548, 572443023, 889149118, 313523355, 749962726, 26813609, 517974743, 335501481, 885297545, ( -1), 454602766, 954572213, ( -1), 819710009, ( -1), 344467922, 321714045, 348652569, 795007535, ( -1), ( -1), 444043072, 203214874, 328700294, 589601410, 695674854, ( -1), 3935053, ( -1), ( -1), 972004645, 714399540, 941847255, ( -1), 703930040, 83380369, ( -1), 612509126, 61052743, 888507177, 919638308, 695198214, 242208224, 312614701, 368004532, 969379271, 344742428, 219417077, 348657627, 752069994, ( -1), 411512692, ( -1), 629241513, ( -1), ( -1), 699117081, ( -1), 922700556, ( -1), 176470197, 442152436, ( -1), 569641020, 931831502, ( -1), 271234362, ( -1), 647861756, 55556224, ( -1), 400451492, 37170369, 980280671, 993149718, ( -1), 299492003, 350261006, 585569282, 24351588, 366118104, 549059783, 155866104, 166498422, 656682103, ( -1), 264957170, 156811185, ( -1), 243777829, ( -1), ( -1), 83773649, 802450692, 581758905, 177371393, 589416028, ( -1), 726051859, 394734188, 66345094, 225267473, ( -1), 371885198, 905872869, 998698233, ( -1), 165168015, 397410418, 871406061, 483267342, 249927610, 978382094, 724496502, ( -1), 868142604, ( -1), 658095790, 693792109, 752783271, ( -1), 473635273, 5112488, 51570302, 130225169, 958158379, ( -1), ( -1), 539960239, 406220204, ( -1), 144730463, 333127123, ( -1), 721649403, ( -1), 909509522, 727099058, 491740050, ( -1), 547408015, 948889775, 120103465, ( -1), 604259899, 726556824, 856209159, 722811877, 42124266, 5933756, 266421744, 614196794, ( -1), 857940285, 989185062, ( -1), ( -1), 762328613, 597147961, 657656223, ( -1), 514396443, 530348110, ( -1), 229385534, ( -1), 845676651, 237075357, ( -1), ( -1), 130597196, ( -1), 766821279, 315272279, ( -1), 646739637, ( -1), 12590195, 807741600, 430793584, 297111360, 175745403, 378922584, 93846906, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 321401932, ( -1), 116886596, 182648757, ( -1), 620360329, 104544314, 575155245, 358467794, 577297413, 557758788, 573960630, ( -1), 154785947, 887880497, 65514659, 87956824, 121209950, 621933161, 578050748, 96696626, ( -1), 477330510, 903368812, 186781357, 330820086, 79403120, 509236178, 146104140, 67202297, 89358441, ( -1), 458902074, 115851204, 644892318, 601360958, 168469391, 286890162, 81512212, ( -1), 205962941, ( -1), 100704805, 401172238, 531536094, ( -1), 994309572, 427397088, 965252558, 564319015, 85820483, ( -1), 452792753, 881513881, 769088307, ( -1), 525851242, ( -1), 47620290, 33469329, ( -1), 147199818, ( -1), 162289431, 880961156, 103363838, ( -1), 911845314, 157373388, 995663859, ( -1), 687028001, 793767916, 721334174, ( -1), ( -1), ( -1), 62962544, ( -1), 674455621, 578392770, ( -1), 682565904, ( -1), 760882227, 34370185, 970579873, 344759964, 422882388, ( -1), 903940080, 881265067, ( -1), 433877672, 982675005, 757073145, ( -1), 682390924, ( -1), 675412748, 640787418, 942427481, 560325251, ( -1), 510186969, ( -1), 807602398, ( -1), 516721813, 359864676, 262962799, 878982493, 177762723, 117388418, ( -1), 330283914, 216184276, ( -1), 248223459, 158035844, ( -1), 296369991, ( -1), ( -1), ( -1), ( -1), 795617805, 873818899, 964662679, ( -1), ( -1), 371026580, 828754689, 567565254, 87906163, 656669343, ( -1), 225466329, 948121787, 907224687, 471648184, ( -1), 449871535, 638454744, 180973142, 929886387, ( -1), ( -1), ( -1), 365646194, 836166212, ( -1), 490012185, 661942719, 446818118, 20107922, 920723648, 743546898, ( -1), 978311875, ( -1), 701550946, 621144350, 958728328, 740134257, ( -1), 737713153, ( -1), 762547044, ( -1), 925899069, 779518942, 786741352, 94344395, ( -1), 741901355, 891034031, 706045658, ( -1), 421364384, ( -1), ( -1), ( -1), 607143085, ( -1), 122939101, ( -1), 401492778, ( -1), ( -1), 98039488, ( -1), 976095990, 260648926, ( -1), ( -1), 399084541, ( -1), ( -1), 383561510, ( -1), 979652211, 107274245, 1931958, 223367867, 127140759, 572434187, ( -1), ( -1), 868836089, ( -1), 75352553, 223471108, 122353655, 813453274, 257088413, 608209868, 90978531, 906171774, 42574462, 847063076, 300453223, 975290637, ( -1), 398232673, 999403894, ( -1), 682802703, 719273798, 809746514, 128410136, ( -1), 828141589, 848746428, 325139225, 864592937, 184044542, ( -1), ( -1), 518745530, 457253840, 410843376, 475834212, 608076674, 825775150, 715865005, 218883917, 162829977, ( -1), 66847372, 630572933, 273009504, 540307652, 570585664, ( -1), ( -1), 812634952, 180398181, ( -1), ( -1), ( -1), ( -1), 111247465, 988487862, 124928519, 191353156, ( -1), 266667948, 515144015, 263914109, 769824439, 195366451, 317418629, 34189612, 85499412, 345460517, 120390838, 883281404, 34541923, ( -1), 975489239, 218816280, 350043215, 678956146, ( -1), ( -1), ( -1), 430893297, ( -1), ( -1), 240559532, ( -1), ( -1), 180647455, ( -1), ( -1), ( -1), 132749754, 842511766, ( -1), 460955033, ( -1), 3026093, 762832997, 368645749, 648992765, ( -1), ( -1), 631747887, 32986074, 699781070, 677422330, 636421929, 885761484, 139920179, 274983942, 9735866, 517106772, 14614864, ( -1), 298049221, ( -1), ( -1), 973726690, ( -1), ( -1), ( -1), 197864910, 171594201, 587952752, 567656797, 518308661, 114070572, 706021232, 14629726, 729058771, ( -1), 873794193, 862171130, 402065008, 697976221, 689783540, 426797006, ( -1), 56215630, 505971281, ( -1), 606377215, 720622510, ( -1), 506810866, 188471793, 914149153, 201036975, ( -1), ( -1), ( -1), 430799796, ( -1), 662528464, 244360918, 160202014, 144512576, 139493760, 633588839, 861068793, ( -1), 596126161, ( -1), ( -1), ( -1), 371454220, 158727496, 605303492, ( -1), ( -1), 186641760, 818566411, 206661706, 564517320, 942934509, 416831363, ( -1), 930455810, 752748924, 495868175, 831288700, 118683597, ( -1), 458755820, 579149289, 591470318, 108814083, 269429598, 436491213, ( -1), 338419632, 905493623, 309115340, 998453306, 757949340, ( -1), ( -1), ( -1), 59460889, ( -1), 3866663, 6077173, 38986848, 546648585, 173644497, 984625106, ( -1), ( -1), ( -1), 712228022, ( -1), 93901246, 884785066, 734084248, 810331186, 119187389, ( -1), ( -1), ( -1), ( -1), 555471356, 159069446, ( -1), 196285771, ( -1), ( -1), 211242675, 571967754, ( -1), 446334194, 51541123, 422255823, 950808022, 642957922, ( -1), 797031243, 274337402, 212008150, 82008107, 219538465, ( -1), ( -1), 86400482, 833223466, 493206488, 992553890, 491582353, ( -1), ( -1), 501848005, 570947894, 305134416, 435426545, ( -1), 409832374, 430274485, 909259163, 644569647, 526799620, 931984503, 721328913, 326575551, 408618015, ( -1), 370674222, 656575078, 626740193, ( -1), 716731907, 339706105, ( -1), 983361313, 259290170, 835259587, ( -1), 352547232, 944895212, ( -1), 815967363, 837427512, ( -1), 690775385, 199986128, ( -1), 434924193, 81819704, ( -1), 731286420, 523829975, 903483336, 775514467, ( -1), 235159491, 187477954, ( -1), 821352724, ( -1), 848483236, ( -1), 307342497, 52962484, 43417610, 664299559, 303672241, ( -1), 21564789, ( -1), ( -1), 656252159, ( -1), 431308237, 97102195, ( -1), 440684911, 465124242, 480775765, ( -1), 239440549, ( -1), ( -1), 430870693, ( -1), 903935652, 670944893, 92038939, 823800546, 695295605, 754399599, ( -1), 541303178, 99551569, 312751829, 922414585, 101708053, 623509591, 208819103, 499403410, ( -1), 940824038, ( -1), 156863541, 85948727, 515361533, 425210137, 941795209, 725807847, 316185885, 359034295, 614374160, ( -1), ( -1), ( -1), 15311562, 511282710, ( -1), 814846558, 652256914, 769530009, 918143642, ( -1), 515520978, 773827830, 373515010, ( -1), 355530712, ( -1), ( -1), 655055823, 150632474, ( -1), 434062869, ( -1), 736641960, 396289091, 156214467, 294574864, ( -1), ( -1), 200455874, 39808215, ( -1), 994236881, 973912812, ( -1), 760431746, ( -1), 118859125, 578543660, ( -1), ( -1), 623647682, 410806552, ( -1), ( -1), 408819146, ( -1), 431510829, 480338508, 31537953, ( -1), 782085225, 447252921, 854623778, 381596416, 811324389, ( -1), 605825616, ( -1), ( -1), 347685581, 236146237, 308274099, 948890051, ( -1), ( -1), ( -1), ( -1), ( -1), 880423687, 462048701, 673374275, 574961687, 808312884, 383324274, ( -1), ( -1), ( -1), 381133275, 1026683, 732196905, 84227439, 523606139, ( -1), 129170190, ( -1), 729931242, 270304408, 551903488, 200199611, ( -1), 957172995, ( -1), 329863749, ( -1), 37878491, ( -1), 144388618, 175080569, 507068819, 587265629, 60625496, 716347363, 413967239, 784723070, ( -1), 47149896, 615283009, 242467823, ( -1), ( -1), ( -1), 766882579, 1026669, ( -1), 384282615, ( -1), ( -1), 952823651, 735138631, 788232258, 437363427, 746303002, 365804294, 551674424, 817786084, ( -1), 608520412, 987025050, 346097802, 506466323, 308809759, ( -1), 220747965, ( -1), 191195769, 512950572, 110764610, 298619855, 871805700, 565617981, ( -1), 479609796, 50789084, 62775212, 135269350, ( -1), 796874822, 820858034, 850640629, 58591453, ( -1), ( -1), 112991064, 107044786, ( -1), 124414286, 873958409, 878439592, 577808669, 143017873, 211468326, ( -1), ( -1), 489304245, 754998439, ( -1), 317598856, 173112486, 846486400, 795115044, 622576849, 82895252, ( -1), 888636442, 285420707, 33574404, ( -1), 293315054, ( -1), 289752655, 73708006, 567961880, 133057002, 512294301, 630236947, 929303930, 13268932, ( -1), 252905657, 192710852, 593441644, 640847976, ( -1), 963489067, 999257331, ( -1), 930460528, 651214205, 305660900, ( -1), 36550806, 767593751, ( -1), 919210624, ( -1), 8258455, 817531810, 970262536, 756191893, ( -1), 926953175, 471243177, 682515311, 22276824, 375631324, 490346007, 199369788, ( -1), 902882796, 553660852, 853208305, 383894840, ( -1), 254690265, ( -1), 753045325, ( -1), 408509622, ( -1), 168832563, 778058104, ( -1), ( -1), ( -1), ( -1), 256341906, ( -1), 948233992, 678087839, ( -1), ( -1), ( -1), 773000315, 41642488, 995019329, 583578620, 862828607, 30721436, 44406396, 711621045, 573338465, 236351922, ( -1), 987830600, 692008676, ( -1), 568137491, ( -1), 987562266, ( -1), 432333862, 905564088, ( -1), ( -1), ( -1), 845949975, ( -1), ( -1), ( -1), ( -1), 905969475, 508135056, 669055013, 815450365, 292033767, ( -1), ( -1), ( -1), 624255185, 380475557, 390362316, 579061666, ( -1), 648230380, 37180390, 381156657, ( -1), 402060521, 830355163, ( -1), 449094737, 90284889, 80605617, 310996186, 694797293, 485707091, 474844289, 945235159, ( -1), ( -1), 368257654, 866259894, 862001589, 342027314, ( -1), 845117053, 356601052, 126785908, ( -1), ( -1), ( -1), ( -1), 170344101, ( -1), 993157353, 763407533, 936632689, 597779220, ( -1), ( -1), ( -1), ( -1), 275390105, 339683441, ( -1), ( -1), 738104665, ( -1), 708302015, ( -1), 50919525, ( -1), 268187143, ( -1), ( -1), 683017167, 9980065, ( -1), 740503146, 799760905, 937246509, 445415128, ( -1), ( -1), 713130687, 586090160, 368325646, 14126144, 905445202, 773370823, 296826412, 134560945, 149649380, 152245539, 18688663, 59717130, 125849667, 939965299, 192330000, 966818912, 478206250, 474600411, ( -1), 326210336, ( -1), ( -1), 532323116, 320999303, 913538603, ( -1), 175711986, 105514104, ( -1), 932171528, ( -1), ( -1), 986990351, 28496068, 751209983, ( -1), 662743746, 465551993, 409540256, 237783027, 506611659, 498625913, 416529536, 684813484, 387885658, 809362023, 953704064, ( -1), 188066054, 502710883, ( -1), ( -1), 210913021, 480417076, 457404135, 430285497, 107015874, 840230026, 955180199, 505721232, 524784521, 100873143, 313715832, 502940434, 285418980, 164126933, 228019889, 810843750, ( -1), ( -1), 682940084, ( -1), 539094353, 49951689, ( -1), ( -1), 563040406, ( -1), 992728992, ( -1), 507994854, ( -1), 657456123, ( -1), 715757844, 989799616, 579068530, ( -1), ( -1), 860699395, 683442648, ( -1), ( -1), 339846993, 309605458, 299615947, 909247077, 752120087, 281786600, 569682895, 267551446, 76493790, ( -1), ( -1), 397107668, 556796667, 36256800, 920956710, ( -1), 797719843, ( -1), 230674592, 666199014, 19443657, 797120889, 140559552, 164549732, ( -1), 757142462, 630194190, ( -1), ( -1), 453609841, ( -1), ( -1), ( -1), 532553691, 282390223, 728637962, 750082894, 527586333, ( -1), 333153654, ( -1), 401461948, 903899889, ( -1), 220522883, 303572240, 725390909, 948027292, 237847965, 80248570, 361952725, 709981496, 359911988, 918442422, ( -1), ( -1), ( -1), 937517493, ( -1), ( -1), ( -1), 894129658, 47482648, 577806809, ( -1), 45109711, 664648279, 534427731, 348169953, ( -1), ( -1), ( -1), 959726857, ( -1), 305770166, ( -1), ( -1), 941245669, ( -1), 66131750, 517869193, 244876562, 645474223, 341167532, 294995049, 769271572, 611974566, 918681252, 523712720, 950849501, 673158499, 243097954, 372768270, 295470962, 645335242, ( -1), 565752881, 248963430, ( -1), 660038014, 324143708, ( -1), 367243709, 307548318, 50767966, 422804263, ( -1), 446188596, 337953441, 827838697, 252966296, 257190700, ( -1), 141378807, ( -1), 627734234, ( -1), 505476419, 30659937, 782223084, ( -1), ( -1), 14851692, 833135914, ( -1), 522284874, 64483297, 389320507, ( -1), 473363085, ( -1), ( -1), 590906498, 971071527, ( -1), 59347421, ( -1), 370426190, ( -1), 381032735, ( -1), 40058829, 195637369, 859966401, ( -1), 546858151, 661841238, 229047686, 567356429, 611996227, ( -1), 312226320, 468500096, ( -1), 841079615, 374755549, ( -1), 216108608, ( -1), 882076370, ( -1), 241172901, 324961716, ( -1), 206225930, ( -1), ( -1), 981625077, 504198879, 842734026, ( -1), 650660681, 418807603, ( -1), ( -1), 260688216, 110208277, ( -1), ( -1), ( -1), 918228504, 121236228, 789342067, 501924047, 412202133, ( -1), 936491518, 9880509, ( -1), 213697608, ( -1), ( -1), 278321448, ( -1), 32636753, 905865296, 577033113, 14916845, 119451890, 313107456, 710058053, 6247850, 638937602, 733662707, 748922758, ( -1), ( -1), ( -1), 858636930, 485623100, 995096491, 417563176, ( -1), 203884481, 916616962, ( -1), 17063063, 205600096, ( -1), 476369574, 799644471, ( -1), 731708838, 15305439, ( -1), 806264301, ( -1), ( -1), 980365888, 268877051, ( -1), ( -1), 987715149, ( -1), 120064103, 597048679, 437176420, 927046054, ( -1), 494919638, ( -1), 9975625, 129343911, ( -1), 514431457, 117393543, 609471916, 389211593, 153115214, ( -1), ( -1), 841354940, 656461363, 744318628, ( -1), 427249061, 670055188, 906596867, 552375837, 860015256, 302649100, 284047386, 675996786, 301245653, 671153849, 673182943, 30066987, 832869088, 964971739, 114953262, ( -1), ( -1), ( -1), 761809984, 669333738, ( -1), 416567244, 214655890, ( -1), ( -1), 747598403, ( -1), 396045111, ( -1), ( -1), ( -1), ( -1), 323360267, ( -1), 210242186, 416680175, 922105218, 624415841, 758172299, 175852312, 657138342, 300688355, 484815294, 274266592, 714080978, 793304134, ( -1), ( -1), ( -1), 464035305, ( -1), 341235094, 687343369, 413348888, 780589847, 352097083, 102090611, 772570429, ( -1), ( -1), ( -1), 415948633, 709046487, 272763563, ( -1), 955145960, 759480655, 76063659, 774471130, 751260379, ( -1), 540463342, 996179456, 45531606, ( -1), 198176472, 6375041, ( -1), 93630905, 825757114, ( -1), 682610282, 731735256, 154679016, 515289435, 741225523, 269750346, ( -1), 330248879, 262551665, 695134088, ( -1), 120084778, 416789571, 92879829, 549166992, 226997387, 339371663, 11217270, 586937282, 568961238, 921161719, 94620422, 917951017, 925473189, ( -1), 775566403, 898736906, 854240759, 940418979, 504044435, 554083127, 546165063, ( -1), 762808418, 938175336, 487107635, ( -1), 791215392, 973059469, 693805349, 389874794, ( -1), 103673120, 878608219, 220183178, ( -1), ( -1), ( -1), 974654876, 234381591, 135728733, 855256016, 381518003, 661453322, 173605606, ( -1), ( -1), 722696467, 106746245, 13909744, 814342725, 750435018, ( -1), 299505263, 417712380, ( -1), ( -1), 219530636, 825446826, 689189802, 939937558, ( -1), 906801361, ( -1), 280081761, 940640714, 911758022, ( -1), ( -1), 263039172, 371439047, 162912700, 870607724, 488607618, ( -1), ( -1), ( -1), ( -1), ( -1), ( -1), 879425486, ( -1), ( -1), 815656310, 278596658, 287025359, 668348866, ( -1), 734725951, ( -1), 68687087, 963954248, ( -1), 239391947, 976565129, 109964379, ( -1), 984502400, 790577541, 250388316, ( -1), 428355227, 636689579, 852488715, ( -1), 846043683, ( -1), 838485153, 721300051, ( -1), 882392284, 227204399, 188244329, 79657215, 291674501, 976764758, 263212308, 658079454, 202823729, 711285114, 989616616, 8360788, 590159408, 653687657, 679966091, 118281705, ( -1), 342629048, ( -1), 784431301, 10073313, 735930150, ( -1), 860798757, 338610673, 144964711, 918750834, 825122200, 727688289, 96642920, 99976946, 633991274, 326503426, ( -1), ( -1), ( -1), 482410882, ( -1), 593485832, 746971390, 809413929, 260857025, 139870554, ( -1), 698349969, 559668700, 141066234, ( -1), 353004620, 335192409, 809280285, 711676701, ( -1), 39668211, ( -1), 641177440, 731258515, 496131476, 337714171, 501683205, 811830892, 655879786, 111038490, 923175305, 295545090, ( -1), 148437243, 261680959, 435361693, 595683341, 11516825, 886937826, 912800149, 56507764, 537288603, ( -1), 172317561, 99283299, 480700027, 591439283, 688571968, ( -1), ( -1), ( -1), 127043267, 893202408, 664022338, 395932150, 845979245, ( -1), 300178421, 509993228, 63420163, 974006174, 118129178, 406302308, 660965314, ( -1), 704657164, 597465885, 392550136, ( -1), 386958620, 454125418, ( -1), 410872058, 512275094, 109235142, ( -1), 470030184, 173310936, 894964139, 134223383, 482972569, 350280374, 527513825, 766901950, 261642529, ( -1), 560381227, ( -1), 50850944, 176146261, ( -1), 939738977, 410729360, 655266122, ( -1), ( -1), 578922817, 301132010, 648741354, ( -1), 255454097, 142137883, 396443351, 747830723, 566423872, ( -1), 586255377, ( -1), 613362266, ( -1), ( -1), 183052894, 267762233, 361359531, 331231169, 910266578, 290641127, 718400083, ( -1), 633322518, ( -1), 124074478, 169571187, 305841773, ( -1), ( -1), ( -1), 308806604, 739435205, ( -1), 792539162, 809490423, ( -1), 528919142, 530817408, 930470786, 532928021, 825284666, 364809615, 492809787, 884521335, 552873625, 647195163, 451754912, 392275455, 167013148, 452845077, 280600949, 861268624, 37417383, 143014861, ( -1), 818647496, 816506381, 44346044, 751038129, 785133612, 259639501, ( -1), 718856822, 800732561, 218060313, 108012247, 493586108, ( -1), 141566397, 976806802, 774318095, 353137220, ( -1), ( -1), 947903368, 897820391, 257604487, ( -1), 151057463, 897358322, ( -1), 729279564, ( -1), 291544126, 443529493, 733105538, ( -1), 677362144, 904043897, 762709275, ( -1), ( -1), 834351855, ( -1), 781185314, ( -1), ( -1), 447289328, 75142038, ( -1), 903050987, 662273705, ( -1), 86316074, 323506835, 615002393, ( -1), ( -1), 543609062, 118797224, ( -1), ( -1), 827005339, 770812499, 634558378, ( -1), ( -1), ( -1), 819502758, 258833404, 846887866, 275184649, 398013346, ( -1), 624464549, 664958349, 626437151, 600439189, 463432897, 934074552, 774987213, 838744497, 661938655, 392804270, ( -1), ( -1), 105017118, 823332422, 409733515, 486481695, 300495789, 440721039, 337009035, 133131812, ( -1), 471121721, 96822375, 944566574, 704982147, 263295349, 61925658, 969379831, 804116794, 97055079, 798402497, 239055657, 445431887, ( -1), ( -1), 613543959, 138929125, 247234913, ( -1), 252635059, 524632623, 384580306, 997454215, 840972242, 351626932, ( -1), ( -1), ( -1), 243793320, 483880253, 193971339, 259621622, 445359442, ( -1), ( -1), 896750620, ( -1), 552818900, 198711191, ( -1), ( -1), 97281228, 569630878, 263262071, 966370378, 868454467, 106046570, 104427694, 668537464, ( -1), ( -1), 705713813, 626239204, 570119262, 275008134, 360913401, 12644619, 336059467, 457114259, ( -1), 208576676, 492636004, ( -1), 50501659, 542442896, ( -1), 695553925, ( -1), ( -1), ( -1), ( -1), ( -1), 209239365, 23564350, 102183485, 665303781, 530202216, 591910665, 567614631, ( -1), 157200306, 381311543, 349020294, ( -1), 351650646, 880189025, 354299144, ( -1), 736610728, 66547973, 51027832, ( -1), 203545243, 369812244, ( -1), 961980372, 462137970, ( -1), 937845569, ( -1), 700941873, ( -1), 321909214, 256280346, ( -1), 974692561, 846827418, ( -1), 467888470, 680401950, 795993138, 851890222, ( -1), 208620544, ( -1), ( -1), ( -1), 548802942, 819713327, ( -1), 814922132, 557077413, 80390313, ( -1), 313130192, ( -1), 155954526, 803790818, ( -1), 470595187, ( -1), 443416719, 322519284, 481799645, 512594108, ( -1), 4658367, ( -1), ( -1), 713254185, ( -1), 549764120, ( -1), 465145303, ( -1), 788884451, 456657688, 927933608, ( -1), 949155238, 211335269, 929362974, 549056949, 612028816, 447470787, 172536794, 419873750, 823389273, ( -1), 209434906, ( -1), 995868892, ( -1), ( -1), 659795277, ( -1), 172611076, ( -1), 133009135, ( -1), ( -1), ( -1), 503180208, 59938983, ( -1), 360472488, ( -1), 327623107, 394038626, ( -1), ( -1), 858747109, 990411668, 558245060, 292493361, 700230267, 648392857, ( -1), ( -1), ( -1), 985751571, 264778550, 654785288, 86399176, 844039693, ( -1), 157529081, ( -1), 203170572, 711642737, 300627202, ( -1), 91576012, 333141014, 231587956, 570043714, 227447747, 809595617, 159252202, ( -1), 761094255, 543201645, ( -1), 728333649, ( -1), 947384766, 473759720, ( -1), 290451560, 23229636, ( -1), 697192240, 887524977, 48604665, 464906926, 643543512, 737670320, 240900998, 5626069, ( -1), 638143163, ( -1), 487241286, 713558969, 367057116, 312531000, 929715142, ( -1), 217322282, 39821723, 846199433, ( -1), 198750004, 67584826, 728493259, 80994266, ( -1), 699736254, ( -1), 180171616, 529636036, ( -1), 721334766, 472688461, ( -1), 10878918, ( -1), 560679096, ( -1), 443405295, 888070227, ( -1), ( -1), 59887539, ( -1), 703557084, 13478860, ( -1), 52620174, 961961307, 32571858, 423748802, 330799634, 642129533, 657773696, 913999087, 676052799, 265908672, ( -1), 253985532, ( -1), 102795789, ( -1), 300096652, 90679124, 947023843, 689523679, ( -1), ( -1), 914024618, 483418741, 151749950, ( -1), ( -1), 400678970, ( -1), ( -1), 937138202, 741076511, 8801650, 95853050, ( -1), 360924135, 10977794, ( -1), 828514985, 217571913, ( -1), 435551017, 841016561, 806849967, 803647057, 467830597, ( -1), ( -1), 949824402, 122220742, 752519, 948726386, ( -1), ( -1), 652522905, ( -1), 721830859, 799669297, ( -1), 105458914, 589038911, ( -1), 154799825, 200996432, 936519372, 25691830, 451387791, 77557250, ( -1), 881319686, 395926054, 430235930, 334471512, 992128126, 326232581, ( -1), ( -1), 361627916, ( -1), ( -1), 150531791, 961431204, 417781044, 868940743, ( -1), 560051797, 711138436, ( -1), 639712719, 807704036, ( -1), ( -1), ( -1), 614968146, 11381660, 449337585, 855466761, 933301987, 181122262, 172998800, 344965764, 663522043, ( -1), ( -1), 185503107, 493564145, 96171694, ( -1), 703043636, 938846431, 721544764, 264559700, ( -1), 837660, 671303219, 574067857, 259307886, ( -1), 233242894, ( -1), 152904365, 392937674, 769252910, 319178713, ( -1), 299833368, 538303640, 567074447, ( -1), 533766334, ( -1), ( -1), 202638566, 290882485, ( -1), 348565579, 533046841, 157920686, 107009441, 695130085, 821392520, 139242252, 460577307, ( -1), 265732155, 126358847, ( -1), 104941872, 769035950, ( -1), ( -1), 810977172, 189471803, ( -1), ( -1), 489296471, ( -1), 91709010, 302234377, 700952775, 666163839, 778314203, ( -1), 598044323, ( -1), ( -1), ( -1), ( -1), ( -1), 583842024, ( -1), 585642891, 487241259, 11189610, ( -1), 35176071, ( -1), 774684017, ( -1), 976347221, 283158313, 44651142, ( -1), ( -1), 731848796, 426156054, ( -1), 794976746, 90197194, 139977064, 862083233, ( -1), 666494192, ( -1), 317025455, 593350448, ( -1), 278867308, 467206737, 105646898, ( -1), 814484560, ( -1), 727944543, ( -1), 298111368, 209170545, 302560922, 109567492, ( -1), ( -1), 963330498, 91894954, 902419211, 786436992, ( -1), 809961672, 146116699, 20856169, 277659688, 308393617, 175148071, ( -1), ( -1), 364018984, 238376898, 64690413, 947470464, 430612878, 586348912, 419455823, 826838786, ( -1), 514786680, 618451876, ( -1), ( -1), 946423893, 860235832, ( -1), 375123689, 885385172, ( -1), 980712998, 96750732, 874416636, 300262233, 768452781, 839936468, 253318926, ( -1), ( -1), 539723487, ( -1), ( -1), 57236602, 336530170, 660670407, ( -1), 179759258, 629272248, 700417994, 274115318, ( -1), 984528251, 573371230, 890079180, 695155700, ( -1), 148887779, ( -1), 757458577, ( -1), ( -1), ( -1), 974554143, ( -1), 328874969, 508584879, ( -1), 921905356, 231346536, 180553052, ( -1), ( -1), 229372838, ( -1), 804137785, ( -1), 85128433, ( -1), 844753358, 463044514, ( -1), 947943524, ( -1), 977793160, 204305476, ( -1), 239785701, 472856099, ( -1), ( -1), 947034467, 324869100, 208415045, 432308540, 558929432, ( -1), 621070803, 897169062, 69928904, ( -1), ( -1), 442454876, 171620259, ( -1), ( -1), 380285031, 124326874, 434691969, 175410743, 126399841, 647087656, 989732622, 735706490, 383424481, 313885954, 849529210, ( -1), ( -1), ( -1), 100195873, 70758732, 100159319, 736941124, ( -1), 521765424, 620098938, 123960151, 762370231, 210528670, ( -1), 707681848, 723774200, 634560761, 472010613, ( -1), 56123009, ( -1), 290080158, 115328179, 757314297, ( -1), 580777570, 747189057, 407131548, 907115498, 916782943, 459438546, ( -1), 794869343, 311318744, ( -1), 301891274, 973067686, 219504813, 313340970, ( -1), ( -1), 405465558, 71918303, 542271829, 80994930, 451997455, ( -1), 513613036, 773286298, 403515368, ( -1), ( -1), 301998302, 335062009, 700527639, ( -1), 135737112, 534498492, 324412376, 589329563, 965496852, ( -1), ( -1), 757840105, ( -1), 769248915, 822798133, ( -1), 626787596, ( -1), 702942378, 848047211, 605321698, 181354490, 472775837, 103900788, 727957278, 892979912, 452512172, 260403340, 56600456, 900906, 814047992, ( -1), ( -1), 805818886, 262987063, 180353627, 498148320, ( -1), 792317417, 920557035, ( -1), 880241431, 224282573, 329661337, 272871986, 330277541, ( -1), 439077008, 570863796, 763974951, 369423239, 368035450, 952577022, 351193659, ( -1), ( -1), 999942038, 192739533, ( -1), ( -1), 805158814, 193164715, 39592348, 447843865, 450064657, ( -1), 510557685, 501454658, 855900791, 83824625, 25912558, 390000126, 468016618, 801213210, 980838916, 440119397, 73428808, 369789037, ( -1), 859104290, 24676675, 816185045, 62424546, ( -1), 142071216, 339240721, 274675403, 371099485, 122977464, 438906626, 670573018, 998736803, 462620569, ( -1), 699883118, 240165879, ( -1), 254511560, 499973633, 486183502, 937107785, 401601634, 535554692, 726110670, 674643304, ( -1), ( -1), ( -1), 188659697, ( -1), 65195275, 422123766, ( -1), ( -1), ( -1), 171516178, 343577782, 544830398, 687655815, ( -1), 536515253, ( -1), 944220386, ( -1), 759349563, ( -1), 180332445, ( -1), 840984375, 874000320, ( -1), ( -1), 358844221, 89613038, ( -1), 511887264, 218400731, 317424120, ( -1), ( -1), 543347648, 714627699, 344079976, 326007154, 855722465, ( -1), 26560565, 791691610, 67723163, 961477706, ( -1), ( -1), ( -1), 884437927, 203085180, 981567053, 452758585, 496090704, 81897472, 91116198, 592180624, 781176574, ( -1), ( -1), 599242603, 644249683, 122124860, 235886856, 459395558, 928403296, 802367041, ( -1), ( -1), 216708907, ( -1), 176252017, 524207216, 530022790, 267048147, 216765894, ( -1), 965333952, ( -1), 111814500, 585534743, 613548735, ( -1), ( -1), ( -1), 310308626, ( -1), 506464916, 259661592, ( -1), 439981881, ( -1), ( -1), 334659654, ( -1), ( -1), 889921673, ( -1), ( -1), 828510581, ( -1), 5589433, 979627346, ( -1), ( -1), 409937695, 532425846, 872856158, 135785546, 423324351, 378876922, 366469781, 84911600, ( -1), 739491044, ( -1), ( -1), 814660539, ( -1), 717878880, ( -1), 960832838, 772584877, ( -1), 501284656, 645793815, 15255143, ( -1), 445717690, ( -1), ( -1), 984089907, 245711811, 42617420, 347150616, 397394225, 431816918, ( -1), 892825346, 405546126, 359281855, 204751127, 531963556, 708323134, 150287311, 289044974, ( -1), 787015935, 391403870, 859383875, 134122027, 356722542, 953094126, 440359547, 265325875, ( -1), ( -1), 567994899, 323967945, ( -1), 86237785, ( -1), ( -1), 775164762, ( -1), ( -1), ( -1), ( -1), ( -1), 411458343, 956520451, 222635092, 582348803, ( -1), 533223340, ( -1), 602105383, ( -1), 145516465, 503740751, 50348185, 245079943, ( -1), 314950172, 546002013, ( -1), 153676407, 66391844, ( -1), 600043158, 914437327, 86149929, 735595434, 119903882, 912003836, 516560966, 635104294, 390563458, 205523946, 428732128, ( -1), ( -1), 382371101, 293477593, 333441083, ( -1), 9613669, 4847458, 171092340, ( -1), 281696220, 578920663, 631344907, 381823130, 3905249, ( -1), 730662522, 569243042, ( -1), 684872638, 482986130, 646458729, 328324900, 88901200, 15591661, ( -1), 172088971, 261347401, 230638778, ( -1), ( -1), 443499981, 739074501, 447317284, ( -1), 548268169, 631644325, 393561028, 703741611, 721784858, 19143644, 103039098, ( -1), 857703538, ( -1), ( -1), 71137049, 185837174, 968006360, ( -1), ( -1), 365980394, 549519837, 962394679, 900973064, ( -1), 74733562, ( -1), 83244636, 460403073, ( -1), ( -1), 955131412, 26244178, 957954087, 735897788, 404486336, 156664428, ( -1), ( -1), 398975309, 979095682, 950604748, 446773631, ( -1), 484704578, 122643202, 35235066, 987604964, 185024989, 871577900, ( -1), 320679022, 706867378, ( -1), 582659, 397494815, 149312206, 431679580, ( -1), 369083871, ( -1), ( -1), ( -1), 935688292, ( -1), 513267371, 744079303, ( -1), ( -1), ( -1), 533000668, ( -1), 63387227, 556126762, ( -1), 360528846, 830680308, ( -1), ( -1), 728640877, ( -1), ( -1), 714508878, 214674834, 789434320, 669680552, ( -1), ( -1), 123413294, 616679349, 125787882, 39513098, 409456399, 496726620, 192046373, 229099938, 321456119, ( -1), ( -1), ( -1), 303845091, 174963361, 459906742, 557298009, 468217250, 87901763, 196118444, 281305329, 570881237, 950233242, ( -1), 489051567, 819724526, 675524258, 456990505, 782161465, 3664744, 6556868, 984496870, ( -1), 334120062, 349288849, ( -1), 105864224, ( -1), 481509029, ( -1), 28524278, 541886696, 184890069, 790488966, ( -1), ( -1), 912547854, 407602740, 615067045, 451863148, ( -1), ( -1), 375556686, 208609639, 520857514, 437904809, 836127498, ( -1), 578001029, 25778999, 304638571, 88138675, 621884880, ( -1), ( -1), ( -1), ( -1), 366900210, 550667667, 682510831, 614686709, 694054485, 583896061, 21568991, ( -1), 486659449, ( -1), 211229130, 581748810, 537496748, 464316426, ( -1), 773387664, ( -1), ( -1), 199714730, 468370973, 439462359, ( -1), 653331566, ( -1), 341991415, 963504420, 855255198, 506813736, 695172514, 115609778, 653842705, 585398287, 270854017, 291964051, ( -1), 826393247, 625801088, 60418805, 296650053, 555433482, 731781417, 235608338, 910440832, 69680953, 635733268, 670723143, 547390498, 981168662, 961118445, 281973763, ( -1), 911844038, 335901588, ( -1), 545818656, 114449077, ( -1), 607553800, 81127901, ( -1), ( -1), ( -1), 802599860, 882174207, 190367443, 847401597, 537406001, 519089243, 723075866, 693503118, 713574498, 531671933, 249340120, ( -1), 512206881, 677106978, 453967875, 442900103, ( -1), ( -1), 300903609, 758248774, 610547603, 816387318, ( -1), 38015409, ( -1), 496296192, 158540024, 420298092, 613964775, 439819748, ( -1), 841623109, 17408935, 182709449, ( -1), 531256614, ( -1), ( -1), 374284134, ( -1), ( -1), 322121330, 941462913, 709976340, ( -1), 106041990, ( -1), ( -1), ( -1), 590374585, ( -1), 19915034, 956830625, ( -1), 830176206, 484139257, 925652244, ( -1), 755189363, ( -1), 702682858, 963350083, ( -1), 168165443, ( -1), ( -1), 995150540, ( -1), 853300689, 432816267, 117837484, 538587599, 809512227, 127888922, 306655787, 871217149, ( -1), 186356331, 313104000, 347515432, 983717787, 168973004, 135075276, 366001504, 592476484, 916010627, 699803990, ( -1), 358537572, ( -1), 42630062, 665831090, 411025633, 24144063, 362985273, 988174970, ( -1), 84452663, ( -1), ( -1), ( -1), 673184193, ( -1), 684872344, 211195733, 127807412, 447898130, ( -1), 916819261, ( -1), ( -1), 882340079, ( -1), 141586495, ( -1), 492942069, ( -1), ( -1), 291422994, 562325891, ( -1), 687275688, 686454891, ( -1), 654727926, 160198840, 432519218, 984360852, 49389805, ( -1), 180817437, 561215055, ( -1), 708571172, 680000139, 744744058, 837765563, 954557084, 128440476, 449064760, ( -1), ( -1), 100770137, 896393729, ( -1), 87893891, 281979497, 225165069, ( -1), 45661583, ( -1), 274810563, 794238716, ( -1), 788300737, 192710484, ( -1), 344036367, ( -1), 26562841, 972753065, ( -1), 599074134, ( -1), 782769158, 298937175, 58680634, ( -1), 44108623, 911950496, ( -1), ( -1), 863329832, ( -1), 381113157, 6657053, 797897692, ( -1), ( -1), 675546644, 11583049, 327829101, 242739963, 490120780, ( -1), 595387802, 83336656, ( -1), ( -1), 463473207, 34470281, 716137967, 601154372, 801631522, 989619849, ( -1), ( -1), 136683837, ( -1), 618985427, ( -1), ( -1), ( -1), 531286489, 193195849, 549287637, 46630995, 934013845, ( -1), 904031458, ( -1), 816107133, 928160353, 734998628, 118844850, ( -1), ( -1), 154266963, 616883052, 821035549, 564908115, 939912278, ( -1), 429765879, 745596352, 545435598, 527174382, 856394017, 938265959, 474045369, 695887675, 491700849, 512666082, 869306748, ( -1), ( -1), ( -1), 495862908, 748917766, ( -1), 111164705, ( -1), 905464370, 252168494, 542277546, ( -1), ( -1), 579155680, 300046226, 776008248, ( -1), 34155250, 831535756, 645336661, 257978926, ( -1), 166343443, 307106491, 230630354, 603525924, 67387134, 35329385, 503056214, 29825081, 879123508, 738868902, 589446848, 764625133, 406810181, ( -1), 949832971, 343941940, 900745588, 683112272, ( -1), 92919913, ( -1), 217212181, 590931465, 153855772, 434697572, ( -1), ( -1), ( -1), 131483391, 651832387, 601245024, 405796009, 828377788, 934633273, 153451716, 199753857, 70982921, 263103838, ( -1), ( -1), 759716439, ( -1), 948642572, 98807052, 714687460, ( -1), 449792275, 916281340, ( -1), ( -1), 405790214, ( -1), ( -1), ( -1), ( -1), 879100259, 255989261, 128222176, 623979869, 355547341, 241063647, 601717586, ( -1), 839000800, ( -1), 123179494, ( -1), 855107704, ( -1), 503402830, 515062484, 351752397, 529013701, 473352518, ( -1), 20136770, 289841897, 317495772, 965058809, ( -1), 917886911, 521693579, 142085475, 21330759, ( -1), 208952484, 784756754, 523277310, 949405659, 98167741, 149173171, 489324082, 264492230, ( -1), ( -1), ( -1), ( -1), 529517443, 124933161, 35216375, 9531916, 667297756, ( -1), ( -1), 100666499, 704058224, 687012310, 582753754, 369375700, ( -1), ( -1), 964230524, 964649474, ( -1), 187599150, 356787054, 951171660, 841971543, 367370128, 99477108, 586781658, 822124485, 652633988, ( -1), 143695277, 362059987, 326461939, 455546186, ( -1), 241289460, 443113574, 46905312, ( -1), ( -1), 300215600, ( -1), ( -1), ( -1), 751221357, 785641165, 412432574, 40078537, ( -1), 145284005, ( -1), ( -1), 657105560, 326106528, 140140597, 780348837, 194902880, ( -1), 153730172, ( -1), 933197208, ( -1), 708103792, 875319829, 150287521, 141096426, 30011945, ( -1), ( -1), 79737485, 965705700, 784199869, 251336217, 102949818, ( -1), ( -1), 515328206, ( -1), 630601099, 25449521, 837306652, 444057010, 297344770, 145515750, 184294356, 431351200, 331705633, ( -1), ( -1), 597560931, ( -1), 824530268, 890478917, 786695289, ( -1), 412061532, ( -1), 603965058, 387760649, 107825395, 50612900, ( -1), ( -1), 725870430, 919179483, 154274216, 511138686, 497923965, 633343578, 850527177, 840855221, 254395188, 58169073, ( -1), ( -1), 951528771, ( -1), 397769547, 622761040, 651558913, 829382691, 588329449, 251585568, ( -1), 477402421, 477674352, ( -1), 390874766, 273559121, 771056358, ( -1), 555795565, ( -1), 768721461, 354900930, 976153232, 333939036, 525731118, 936402908, 502754956, 224382832, 234560251, 881211620, 931022493, ( -1), 185707486, ( -1), 518228417, 733997470, 529153774, 36064967, ( -1), 79899511, ( -1), 378238816, ( -1), 997740904, 499999316, 464287229, ( -1), 812523071, 473729986, 802675801, 537527779, 5906010, 159361571, 642904521, 976281127, 755746528, 863553774, 631355870, 749045500, 988477530, ( -1), 749685816, ( -1), 831629497, 477163814, 949897386, ( -1), 262502257, 172159167, 720397206, ( -1), 988825971, ( -1), 557804075, 30930831, 591063688, 81365879, 682505447, 639910995, 920596423, 826951488, ( -1), 83879885, 629430593, 189604307, ( -1), ( -1), 689436563, 56317744, 70498395, ( -1), ( -1), ( -1), 37560803, 543166094, 855097412, 788908560, 596101033, ( -1), ( -1), 319658069, 537853070, ( -1), 444208417, 627405131, ( -1), ( -1), 90087550, 861753994, 702537845, 964862390, ( -1), 281861024, ( -1), ( -1), 413422096, ( -1), 429301451, 858493110, 58376995, ( -1), 119625845, 329282108, 751957923, 440863178, 719421367, 126004714, ( -1), ( -1), 52193624, ( -1), 960194156, 88697038, 951589446, 389794356, ( -1), 625647990, ( -1), 812934070, 903146843, ( -1), 273727005, 369871156, 156357977, 497397803, 657511664, ( -1), 457101167, 757955242, 245718957, 719838856, ( -1), ( -1), 282271652, 424382589, 392635698, 552714447, 723312175, ( -1), 838929320, 683878137, 157562114, ( -1), 213232515, 153311718, ( -1), 684975023, 865687484, ( -1), 482309636, 562595788, 683668360, 38908354, 862877730, ( -1), 555883269, 812325236, 586371718, ( -1), 937608534, 561443419, 97445146, 447548634, ( -1), 216398663, ( -1), 607502108, 824770171, ( -1), 163898957, 314235355, 498311088, ( -1), ( -1), 164808489, 591498396, ( -1), ( -1), 821765446, 127976711, ( -1), ( -1), 757915170, 888438277, ( -1), ( -1), ( -1), ( -1), 722901277, 589064422, 305501782, 582079417, 897873569, ( -1), 723518967, ( -1), ( -1), 967919502, 662410711, 406090800, 733123110, 130590639, 435654035, ( -1), 83278304, 887411367, ( -1), 699348970, 550907030, 279025075, 871211796, 491619211, 753812520, 530936843, ( -1), 442555091, 904997522, 632457373, 917675058, ( -1), 955194713, 556119443, 919685530, ( -1), 827937463, 193637280, 338852854, ( -1), 734930500, ( -1), 828147989, 924162126, ( -1), 873433630, 299296524, ( -1), 927042796, 914214302, ( -1), ( -1), 605165013, 243182180, 99737655, ( -1), 963562891, 649635907, 407045996, 160132011, ( -1), 586000440, ( -1), 991732580, 737740049, ( -1), 747594805, 27215281, ( -1), 691724773, ( -1), 205531895, 943073770, 626169278, ( -1), 588215654, 476724486, 326354046, 698497583, ( -1), 591892126, ( -1), ( -1), ( -1), 881961516, 819410268, 187090201, 654292262, ( -1), ( -1), 772134430, ( -1), 477220991, 53603466, 650014381, ( -1), 899609886, 363453318, 725829861, 305755593, ( -1), 997262867, 725109347, 77314305, 346897330, 774098288, 396309923, 225984639, 12153802, 595733771, 927916791, 821808898, 212920939, ( -1), ( -1), 208053492, ( -1), ( -1), ( -1), 565727347, 39528512, 272836969, 919654719, 342142115, ( -1), 946136726, 575906288, 680029691, 301607323, 626044005, 51887842, ( -1), 941164959, ( -1), 795360312, ( -1), 581616670, 261271824, ( -1), ( -1), 756803081, ( -1), ( -1), 639804661, 470290706, 498197286, ( -1), ( -1), 452863544, ( -1), ( -1), 535004488, 776256953, 979644041, 777304722, ( -1), 418076147, 264168973, 527504676, 131016829, 937269908, 215128633, 678502308, 763385882, 767413312, 891639388, 446860600, ( -1), ( -1), 817751920, ( -1), 659836308, 120165598, 257402938, ( -1), ( -1), ( -1), 138754271, 78557538, 607454116, ( -1), ( -1), 608630795, ( -1), ( -1), ( -1), 321871597, 16040018, 855477534, 532621401, ( -1), ( -1), 928028080, 693058492, 696987918, 425930123, 810142816, ( -1), 206222534, ( -1), 412035000, 358376371, 543602420, 791226001, 133906212, ( -1), 560831753, 189725529, 599334084, 946385300, ( -1), 218597297, ( -1), ( -1), ( -1), 961478059, 551131528, ( -1), 222478883, 31089633, 111950354, ( -1), ( -1), 654783878, ( -1), ( -1), 524434192, 836121917, 434095708, 764086640, ( -1), 760904055, ( -1), 365325195, 691926904, 33414740, 425023906, 162815961, 194790027, 792992891, ( -1), ( -1), 76019836, 895747346, ( -1), 895553069, 941505751, 389767008, 978909237, 632469207, 643811539, ( -1), ( -1), 199472616, 484750289, 83560991, 362470756, 451698720, 382342015, ( -1), 330099851, ( -1), 175735915, 929166998, 437880889, 101482275, 149277798, ( -1), 351467663, 668606345, ( -1), 989250256, 804949180, ( -1), 516509998, ( -1), ( -1), 403663408, ( -1), 130309, 877248241, 151480566, ( -1), ( -1), 531913782, ( -1), 790172747, 223038450, 854043571, 51757157, 799528373, ( -1), 220900930, ( -1), 358657400, ( -1), 876411163, 603227536, 666655899, ( -1), 74131790, 146673763, 689958652, ( -1), 429966308, 706542888, 10133644, ( -1), ( -1), 353528166, 794672979, 559942136, 730080975, ( -1), 300693108, 644111768, 667138902, 702589093, ( -1), ( -1), 741330543, 290343884, ( -1), 844183872, ( -1), 279789064, 576872084, 58962406, 500713789, 352508726, ( -1), ( -1), 836527839, ( -1), ( -1), 569872013, ( -1), 910258272, 818270354, ( -1), 770631755, 741732346, 843129894, 888474397, 426322333, 897504170, 848843077, 260209056, 287118345, 306347857, 331278287, 718407558, ( -1), ( -1), ( -1), 333604446, 695036390, 798080582, ( -1), 610878426, 383198878, ( -1), 269175481, 346000178, ( -1), 865150707, 811226396, ( -1), ( -1), 420088092, 985707162, ( -1), 153555774, 476075881, 25659145, 22002903, 483375729, ( -1), 145246646, ( -1), ( -1), ( -1), 520278027, 718423765, 504594224, 704129226, 533396130, 160210731, 25599688, 732310910, 170784231, 9607772, 175046908, 474277509, 379823783, 409968528, ( -1), 901889749, ( -1), ( -1), 151193551, 124991504, ( -1), 265011182, 411814846, 813863509, 775431071, ( -1), 103035971, 417686727, 859277858, 708566836, 245403572, 40536423, 685740334, 273921418, 816891066, ( -1), 930084155, 220615950, 447199806, ( -1), 947791138, 176091715, ( -1), 803257335, ( -1), 197543755, ( -1), 787113453, 35961451, ( -1), ( -1), ( -1), 99149359, ( -1), 134437424, ( -1), 369067131, ( -1), 453556992, 733716910, ( -1), 722188699, 504791600, ( -1), 120989555, 255915129, 476188729, 797005909, 471589938, 652227000, 511634571, 471059822, 833151507, 800441123, 876765179, 993848857, ( -1), 135489739, 734083913, 110175245, ( -1), 658553341, 804694477, 359569991, ( -1), 728931348, 699017559, 566739031, 839970442, 559130478, ( -1), ( -1), ( -1), 975779571, ( -1), 144372547, ( -1), 667620457, 651828571, 12585860, 461256515, 160912524, 49971446, ( -1), ( -1), 535410871, 288193074, 895948741, ( -1), ( -1), 814923688, ( -1), 568852996, ( -1), ( -1), 173690226, 88525558, ( -1), 700047261, 802854697, ( -1), 378956626, 89710084, ( -1), 9132731, 423147363, 613188231, ( -1), 542622342, ( -1), 950872470, 726807652, 19230590, 747732053, 993654932, 777888470, ( -1), 315471164, ( -1), 422481930, ( -1), ( -1), 834120979, ( -1), 819604890, ( -1), 473814283, 282339877, 328073993, 27121412, 60467061, 128881292, 504863828, 694496924, ( -1), 37289511, 248107920, 288985228, ( -1), ( -1), ( -1), 242110252, ( -1), 469326884, 253673118, 882118591, 394595885, ( -1), 100179474, 915727635, 493540371, 975424420, 38542146, 894459234, 557233408, 488669010, 616072775, 774354487, 106200104, 929890025, 715610040, 467688743, 780212092, 628660088, 865487460, 188634387, 260229479, 472584719, ( -1), ( -1), 15653272, 270492916, 862718694, 81423384, 874286069, 915260474, ( -1), 170363978, 418735066, 161040828, 107283402, 273148567, ( -1), 154932751, ( -1), 200246639, 511964006, 133853687, 721135609, 512775387, 854830048, 400627827, 657004929, 461297147, ( -1), 992040405, 887398328, ( -1), 993801944, 918187637, 881105663, 66955959, ( -1), 99068644, 665307121, 12560234, 598068844, ( -1), 797638302, 703442695, 872737223, 405890377, 473255226, 357264056, 496102275, 874209413, ( -1), ( -1), 55574455, 874713900, ( -1), ( -1), ( -1), 430164318, 654709920, 551074075, ( -1), 298282430, ( -1), ( -1), 635396328, ( -1), 223327622, 965150345, 118799643, 713500354, 775829747, 196059660, 346875711, 402738874, 282291825, ( -1), ( -1), ( -1), 647736634, 761168978, 277194227, 262096823, 651508123, ( -1), 719799072, ( -1), ( -1), 144006583, 262609672, 288850235, 749665376, ( -1), ( -1), 601124167, ( -1), 687303194, 771235809, 61881468, ( -1), 647187419, 607917253, 297075949, 166675199, ( -1), 738250190, 807567235, 329383974, ( -1), ( -1), 407429760, 749101175, ( -1), 932916296, ( -1), ( -1), 431541605, ( -1), 246986889, 953017355, 113916638, ( -1), 101712742, 467544706, ( -1), 596725593, 977774655, ( -1), 715663624, 152329348, 559242642, ( -1), 430439884, 468046789, 527505976, ( -1), 56566525, ( -1), 12817488, ( -1), ( -1), 529796566, 615445347, 303387860, 221981788, 591683238, 874478008, 723576620, ( -1), 390935130, 614433020, 834124830, ( -1), ( -1), 49366485, 45804092, 172515347, ( -1), 459113381, 622537834, 277107264, ( -1), ( -1), 991149850, 943623942, 68210979, ( -1), 164062465, 346551275, 129326274, 262980253, ( -1), 779793800, 162036674, 203332636, 108757748, ( -1), 483319694, 108047997, ( -1), 157462784, 533660394, 357296142, 428432779, 845322672, 667191161, ( -1), 368003970, 836942860, 470930087, ( -1), ( -1), ( -1), 831882947, ( -1), 504461182, ( -1), ( -1), 898273644, 987477905, ( -1), ( -1), 990383953, 902379917, 733141892, 554371343, ( -1), 200950157, ( -1), 836930544, ( -1), 97795807, 182910930, ( -1), ( -1), 955789234, 70476334, 780957687, 69097202, 487416859, 73261249, 142244121, 559533586, 940821585, 362226420, 309786069, 383528516, 801326880, ( -1), 483225737, 383674940, ( -1), 659519937, 696512193, 210152372, ( -1), 270949698, 583573208, ( -1), 636843769, ( -1), 807235086, 163371990, 293925764, 597362342, 645380786, 530622049, 571160607, 116490132, 124228642, 820136020, 967256606, ( -1), 801988502, 543727498, ( -1), 217679371, ( -1), 895234391, 413732152, ( -1), 939163734, ( -1), 415630925, 579408235, 296399471, 479124596, 669044827, 3529528, ( -1), 670865289, 988101381, 510325052, ( -1), 515823372, 866547539, 39390516, 188145894, ( -1), 980732282, 317611782, 413118283, 284690288, 991721244, 981520141, 937088302, ( -1), ( -1), 257073701, 86886183, 426295428, 885165186, 261017128, 581520144, ( -1), 269569778, 735655878, 66762536, 160448398, 519874079, 467912798, ( -1), ( -1), ( -1), 33699624, ( -1), 40515441, 78032469, 659209030])," 999236625 (minDifference [-1, 639161915, -1, -1, 743579521, 717617076, -1, -1, -1, 924276297, 157194645, 20083099, 618694006, 413718951, 290186181, -1, 651629291, -1, -1, 476902543, 451983954, 699899459, 982685397, 479465884, 548286569, 464914514, 905312203, 88581276, 232522362, -1, -1, 201227575, 118755561, 318427412, 334333186, 324413920, -1, 289238250, 650205688, 936943148, 523347510, 439406940, -1, 564910764, -1, -1, 9977678, 296852333, 808793299, 603582094, -1, 62600631, 489717645, 807374757, 772835555, 809902639, -1, 94779959, 507590077, 37441761, -1, 745888569, 342306484, -1, 323670969, 20872586, 43755315, 908995939, 940106621, 429674018, -1, -1, 870931530, -1, 669823615, 44462343, 174997666, -1, 519233349, 222211360, 368168492, -1, 437460181, 328140677, -1, 470296878, 794384734, -1, 428510371, -1, -1, -1, 994765100, -1, 657465590, 167891981, -1, 809882510, 514782318, 916305713, 594246725, 173959418, -1, -1, 829636941, -1, 907128950, -1, 824662529, 388653927, 22866582, 515313024, -1, 763160725, -1, 779936153, 819347649, 259324544, 89384546, -1, 661520434, -1, 299343859, 949022937, 34042132, -1, 688172096, 640184853, 987415905, 376043972, 382469432, 364430370, 191553994, 751883961, 172829321, 830616766, 281394971, 719986460, 974648005, 987763037, 543780379, 447545255, 577019720, 411257306, 265430288, -1, 937238972, 60669829, 135302727, 832033357, 225274119, -1, 533819004, 152132901, -1, 265233922, 639602895, 638250145, 490749771, 106810562, 551215032, -1, -1, -1, 242781672, 605404830, -1, -1, 365757696, 263107833, 1283452, -1, -1, 797233607, 51680198, 421805432, 798858318, 748969158, 195637488, -1, 938692345, 803780604, 36696519, 738826618, 619633840, -1, -1, 643631686, 797081581, 685031134, 244970331, 961677682, -1, -1, -1, 531472049, -1, 635160870, -1, 600781744, 910534005, 310093300, 812439941, -1, 570258874, -1, -1, 878176918, 890242693, 241609188, 670731568, 576724959, -1, 72958399, 329301577, 972013099, -1, 457262019, 364074839, 920045532, 984771976, 674521312, -1, 821357967, 716324011, -1, -1, 849955391, -1, 994039222, 366454232, 315139844, 132791719, 109876260, 253636153, 230757703, 712204508, 912472617, 617701659, -1, 390712320, -1, -1, -1, -1, 928219010, 555650764, 210920097, 120105627, 830614976, 790849391, 36512601, 554981262, 187626142, 374468721, 176362305, -1, -1, 181357367, -1, -1, 478118594, 214531411, -1, 764136939, -1, -1, -1, 932146905, 660642454, 855536411, 402952298, 435841554, 403793482, -1, -1, 199182353, 459687909, 30631366, -1, 875406047, 516611026, 391254799, 986268324, 989577132, 219597464, 461611321, -1, 920446891, 742022578, 895572088, 290174586, 759481233, -1, -1, -1, 361579651, 625192595, -1, 606734207, -1, 994290145, -1, 626348726, 340351052, 124160769, 323468751, 614651634, 50920302, 2535885, 488397620, 814838774, 936526498, -1, 307055822, 608882869, 322429150, 645803512, -1, 956084084, 362147528, 574557441, 694342191, 57366060, -1, 810892257, -1, 928681891, 70179313, 238314744, 59629056, 595942277, 748668466, -1, 933389310, 883732620, -1, 484593227, 503665657, 167892632, 84924074, 493726146, 212766968, 488168861, 99176582, 417568977, 457633673, 783493437, 307990515, -1, -1, 986212309, 603501564, 251109683, 984224463, 534904101, -1, 367796553, -1, 811208657, -1, 360824701, -1, -1, 436229083, 661898616, 461216521, -1, -1, 510492474, 388120082, 464372075, -1, 215955830, 280867311, 464039154, 93706169, -1, 958304827, 524170812, 821655606, 956164888, -1, 781465008, -1, 370184529, 355238214, 866880918, 605338968, 485202663, 472175209, -1, 273542116, 275715829, -1, 690925895, -1, -1, 930021051, -1, 491594834, 143019642, 959548973, 849149116, 91301795, -1, 144859505, 530330121, 358477583, 260976533, -1, 732311248, 183941193, -1, 740675098, 773132665, 289173575, 107971516, 250423718, 24277973, 302058072, 150339706, 276703862, 755761735, -1, 390490234, 885382020, 130590958, 753481727, 97660877, 568028246, 122326546, 607107333, 153738327, -1, -1, 126149066, 197515776, 140682649, -1, -1, 472019330, 678644069, 805186047, 321550651, 265471103, 605579855, 316881427, 824382449, 869045506, 555459534, 246675322, 451252215, 902299556, 61696273, -1, 920455020, 508415432, 587437177, 126316056, 612796807, -1, 741474426, 494843283, 769030572, 209257151, 884257498, -1, 779891399, -1, 103588790, 61531224, 691303713, 31155387, 915136943, 392438914, -1, 224749780, 121854705, 569512271, -1, -1, 88706635, 678782315, -1, 913796256, 766787371, -1, 675167979, 829896359, -1, 743427243, 906997449, -1, -1, 776570919, 767733152, -1, 608928260, 887774817, 517580875, 145409095, -1, 879172915, -1, 79774477, -1, -1, 533480441, 335750717, 388593426, -1, -1, 150757642, 53920826, 85934378, 353306404, 188652434, 947395776, 12073929, 517383803, 317561777, 350851096, -1, -1, 773903344, 673828886, 421448277, 47943354, -1, -1, 834180149, -1, 560620158, 943178914, 896558988, -1, -1, -1, -1, 378561013, 259057470, -1, 795720018, 225887075, 806381176, 438466828, 195984506, 32413156, 859865930, 315191399, 851803005, 913226849, 206441255, 502937875, -1, 5876241, 260876939, 137915862, 678759765, 534473704, -1, 474241796, 391394975, 550517738, 236929882, 712067494, 478476808, 255145759, 26690838, -1, 530228061, -1, 987916905, 217742527, 668752451, 466841592, -1, 710590983, 153163334, 491538705, 34214341, -1, 588298197, 194122934, 832774158, -1, 563033494, -1, -1, 581735915, 405950880, -1, -1, -1, 210113772, 695451258, 347833855, 417724793, 268774063, 561470803, -1, -1, 45454703, 822062008, -1, -1, 1985072, 524285992, -1, 872285462, 989370111, 571396403, -1, -1, 427042072, -1, -1, 224950735, 845033409, 569064903, -1, 320334234, 648898254, -1, -1, 250860504, -1, 560198607, 248875643, 498987026, -1, 385718341, 573047741, 304885588, 606295223, 488326248, 918774896, -1, 335861025, 664728516, 368717406, 59376158, -1, 224563418, 275312353, 376067618, 570070963, 321070093, 420345622, 548526023, 628105551, 420377572, 417787432, 41155550, 904074494, 692765884, 973809180, -1, -1, -1, 384523868, 385207094, 564615943, -1, 698149706, 525407681, 315064352, 203773956, 64548019, -1, 464342752, 689005337, 410986388, 141499088, 428979689, -1, 2980051, 470530451, 280810939, -1, 731883601, -1, 37275507, 394852366, -1, 984656097, -1, 155015738, 324831180, 358512190, -1, 821266155, 980297854, 285692041, 793724364, 81795919, 971770215, 14687630, -1, 394385682, -1, 573358184, -1, -1, 220271458, 476290768, 547661005, -1, -1, 982844824, 977112300, -1, 172569521, -1, -1, -1, 242682453, 778150863, 71308449, 823855475, 274833741, -1, 148013663, 158874587, -1, 501796637, -1, 652314728, 563265528, 848215218, 103408452, 322627536, 661452417, -1, 752197634, -1, 861657732, 447821119, 860301041, -1, -1, -1, -1, -1, 288591689, 307047078, -1, 591639268, 369371333, 511234554, -1, -1, 809516582, -1, 970953680, 235437495, 762400205, 951034617, -1, 898774951, -1, 532669749, -1, 933548202, 518079991, 868296120, 393979152, 566249959, 944664464, 874428899, 411544634, 800490913, -1, -1, 128566742, 469131831, 518185854, 681316427, 201407869, 80968452, 89914017, -1, -1, 677849114, 934661684, -1, 603929176, 342018715, -1, -1, 694632668, -1, -1, 355306398, 834026950, -1, 206585406, 588804424, 204977788, 428816945, 328952895, 397639569, 356247984, -1, -1, 654331543, 104248772, 759745928, 444837117, -1, 647498890, 678319277, 405900192, 656940664, 849580217, -1, 106115799, 722865406, 242757618, -1, -1, -1, 649876869, 66053631, 901740055, 906687159, 125758745, 276283427, -1, 729525385, 399526261, 984445449, 325948703, -1, -1, -1, 906658211, 17161138, -1, 680621193, 647838672, 848565350, 965116489, 502768623, 516497928, -1, 74390940, -1, 140873721, 686972184, 432204419, -1, -1, -1, -1, 687862160, 564587294, 295672343, 72487749, -1, 134052905, 966787328, 789552209, -1, 223847112, 232213871, 49426089, -1, -1, 522173470, 520914661, 252142471, -1, -1, 826974574, 335524026, 651399790, 652973636, 348901897, 604361076, 529220740, -1, 644008443, 96097532, 206688812, -1, 143709328, 179510187, 44649207, 492679138, -1, -1, 672303681, 634344701, -1, 765580795, 843657913, 49855828, 479812234, 628335666, 971762939, -1, -1, 292166738, 903949434, 780586365, 799421156, 174047412, -1, 760005041, 647791892, 352402656, 827619444, -1, 847921234, -1, 235262084, 245036882, -1, 207353238, 748428620, -1, 301430990, 488995319, -1, 360866731, 165180120, -1, -1, 629255709, 975268135, -1, 952245992, 800297830, 891630105, 868598328, 540305137, 172036191, 365653443, 2992891, 35533825, 292393950, -1, 263331371, 634998561, 804180703, -1, -1, 11266453, 197686651, 493108570, 402156697, 564912237, 909512405, 842300502, 386572189, 526869956, 904361033, 299624697, -1, 541889677, 167966802, 991216975, 576167331, 817967454, 585887534, 87221196, 832873417, -1, 980821219, 934409937, -1, 945004298, -1, 676533313, 122881048, -1, 468162890, 201790960, 276831209, 665573039, 769049070, 583391115, -1, 711959671, -1, 555867407, 952966804, -1, 577566649, 742268499, -1, 380402918, 974486528, 194740740, -1, -1, 145750057, 898429154, 262792323, 372873765, -1, 566941439, -1, 398252915, -1, 757344277, -1, -1, 215141809, 573912637, 141990484, 668504929, 642502730, -1, 561035203, -1, -1, -1, 695910904, 708966450, 665632704, 218117254, -1, -1, -1, 236557368, 678219718, -1, 594982299, 729092595, -1, 980544492, 651079329, -1, 974006861, -1, -1, 918271606, -1, 320087991, -1, 583750497, -1, 262133731, -1, 636351335, -1, 793776818, -1, 971831200, 940083631, 308666363, -1, 909526578, 727230255, 524021211, 317015187, 400039011, -1, 867239164, 109123824, -1, 356146402, -1, -1, -1, 876776615, 685394148, 94836010, -1, 55589276, 868386839, 521757753, 91397621, 35208032, -1, 925542598, 316630842, 492643545, 538299901, -1, 541348927, -1, 727250679, 903396312, 870894718, 864864545, 640381689, -1, -1, 647012414, 702187791, 896739617, 683201364, 305592010, 390424400, -1, 568190260, -1, 837621394, 994978495, 905528479, -1, 847328795, 368891959, 640812454, 570551514, 658990395, 198268612, 908221033, 213787013, 319334876, 732739170, 482338024, 899514437, 88757072, 838200785, 348435045, 80482096, 711027461, 897774908, 186432675, 462977398, 540223742, 262653795, -1, 571164338, -1, 996783683, 965187433, 146949140, 821193882, 307386161, 605010970, -1, -1, 963995774, -1, -1, -1, -1, 18433192, 106577430, -1, 307306456, 781404323, 156698393, 705086165, 186595279, 74799319, 392631914, 596917042, 758748242, 419475347, -1, 667688563, 597816511, 267786274, 849964877, -1, -1, 352416556, 703663355, 535615958, -1, 996180261, 655258268, 361927848, -1, -1, 441447797, -1, 536845836, -1, 273707011, 840700784, -1, -1, 320569738, -1, 10534658, 525991977, -1, 173450453, 727327573, 91246021, 946884525, -1, 877421586, 41127185, 223010998, 67057043, 519332667, 351161143, 859993804, 957689795, 616760288, 518083536, 814597761, 519812547, 826389211, 877767177, -1, -1, 863300643, -1, 170553140, 61317309, 739135503, -1, -1, 152234756, 180895402, 276136172, -1, 325505966, -1, 435420605, 722266558, 739564705, 682830552, 892348127, 605136853, -1, 843857445, -1, 778066887, 571473283, 987196657, 973439180, -1, -1, 359135765, -1, 151435826, -1, 898160854, 610390224, 156159529, 252347750, -1, 995933805, -1, 838781413, 978810797, 325518780, 787766868, -1, 803450803, 592201847, 488814285, 153449638, -1, 258607015, 502901263, -1, 658131214, 858894225, -1, 18011714, -1, -1, -1, 668445996, 523707740, -1, -1, 860491174, -1, -1, -1, -1, 63705401, 182134890, -1, 507425599, 695332820, -1, 216564473, 789433175, 168303244, -1, 373157598, 496493884, 721816485, -1, -1, 673472090, 682677810, -1, 70794389, 34690917, 350272249, 956817982, -1, -1, 292136526, 404230236, 323244678, -1, 829137057, -1, -1, -1, 521347045, 216370216, -1, -1, 699512143, 536920559, -1, 82801492, -1, 897406411, 770035534, 270059951, -1, 851452774, 319129142, 165321181, 671313999, 67449045, -1, -1, 332307213, -1, 311884461, 187608429, -1, -1, 63973049, 770743347, -1, 260094408, 529707708, 746263637, 350747590, 790867001, -1, 912246102, 470099680, 882988247, 245205633, -1, -1, 47026491, 969401377, 537533543, 735566712, 945593200, 717968071, 277763970, 236178109, 970635105, -1, -1, -1, -1, 166014065, 628325606, -1, 375322760, 589755999, 582975288, 357170219, 937911272, 289435201, 202843325, 459899738, 292397034, -1, 72379365, 145382989, -1, -1, 198343759, 782450339, 53156478, -1, -1, -1, 125008289, -1, 538415838, 714982165, 742359479, 387733991, 808891251, 863120724, -1, -1, 530203049, 239049437, 735455508, -1, 904330440, -1, 535005176, 40125501, 279415550, 991581643, 139108137, 907029658, -1, 518276544, -1, 634904440, 432405820, 362803913, 220868654, 441314276, -1, 487251003, -1, 641440268, 601404788, 782411942, -1, -1, 824969628, -1, 194955424, 413598658, -1, 933976588, -1, 463505228, 48718501, 585530873, 261557694, 115644349, -1, 578383812, -1, 260276192, 596675022, 904177429, 636526335, 879417804, -1, 888809305, -1, 9092815, 519924741, 497351798, 37708044, 502631485, 292181855, -1, 190577219, 294269045, 415082843, 541049975, 570329663, -1, -1, -1, -1, 811104691, -1, 72759866, -1, -1, 724806855, 680443740, 398640697, 143607811, -1, 928846145, 106244848, 687682201, -1, 897000749, 409468621, 104591561, 585349718, 640085378, 277767045, 784691, 642071118, 73906527, 352430820, -1, 301051581, -1, 145710396, -1, 699612669, 631993611, 790953878, 750043422, -1, 832648421, 478051695, 652611892, 875240392, -1, 275165070, 884997090, 352587527, 52878791, 108380183, 662115281, -1, -1, 656208774, 743179216, 259722291, 385958738, 614773330, -1, 907728884, -1, -1, 374120869, -1, 582141271, 947613131, 678130305, -1, 75555127, -1, 40875271, 543451092, 570677957, 150848671, -1, 480978769, 493863302, 496535407, 94121354, 119529369, -1, 903620845, 454020445, 680786561, 85768472, -1, 19551530, 557801352, 936720377, 203625384, 398224922, 227054167, 801702650, -1, -1, 458506127, 852269424, -1, 750398679, 312689076, 186720505, -1, -1, 456641276, 95229780, 423272306, -1, 152626733, 905957556, 680824317, 179676859, -1, -1, 673811812, 388862301, -1, 824714420, 311517376, -1, -1, -1, 664736066, 151908465, -1, 536295909, 26756192, 575468739, 438407827, -1, 451069456, 895205559, 30358401, 893802976, -1, -1, 35156162, 310414933, 11917787, 898091270, 317324185, 630450106, 583362731, 752072293, 346117056, -1, 884318881, 133432953, -1, 943977846, 18965592, -1, 226069295, -1, 105020138, 873619912, 142720083, -1, -1, 887698827, 547155584, -1, 696740860, 413284278, 341504746, 715134865, -1, 619238710, 796144816, -1, 313071211, 487664560, 516492242, 160986545, 560724671, 433914921, -1, 124398661, 851139315, -1, -1, -1, 617143408, 206054749, 332629187, -1, 214449305, 261140694, 234529421, 903229658, 455332610, 415386527, 448061159, -1, 260383948, -1, -1, 999998803, -1, 208334448, 939448341, 958247236, -1, 715005727, 324102572, -1, 522706452, 171452063, 611222224, -1, 103716290, 21224875, 583620343, 596061140, 747447035, -1, -1, -1, 375411149, -1, 739836295, -1, 486601551, 981109894, 667330658, 582789188, 518779642, 256047311, -1, 804657904, 364066682, -1, 984385495, 942995845, -1, 453833247, 639837141, 468788884, -1, 433314855, 700770946, 249616249, 746553045, -1, 153680282, 591747305, 510060721, 31546395, 325169158, 533740957, 315457136, -1, 939166531, 876322829, 144508828, 52100451, -1, 460710722, -1, 888299583, 198161958, 940694020, -1, 81538297, 289374747, 635088786, -1, 931109078, 434026521, 894441028, 735504631, 555498723, 500155367, 491411807, 889566120, 658479531, -1, 374360554, 996808462, 234338265, 321732421, 914135097, -1, 782809738, 232316293, 438085391, -1, 88550439, 961567043, 408154489, 181158268, 68660953, 645326621, -1, 158909954, -1, 516395067, 750189005, 471174420, 989759762, 843158502, 446316910, 870229334, 889644852, -1, 640513737, 566755630, 745124736, 179493940, 216332315, -1, 561315263, -1, 812316817, 427565857, 27938312, 392792764, -1, -1, 695106512, 49272685, -1, 573137005, 65267938, 34588792, 200532573, 589377094, 1954861, 856831192, -1, -1, 421989220, -1, 701989982, 295879077, -1, 942961107, 22340827, -1, 809047838, 596591271, 156803039, 302843754, -1, -1, -1, -1, 465306588, 112930955, 453825745, -1, 618474134, -1, -1, 71556814, -1, -1, -1, -1, 989554691, -1, -1, 885423436, 412317013, 656332585, 132450420, 610042421, 67531329, 949990726, 413772033, 227251958, 32509038, -1, 389717746, -1, 808132557, 884958903, 149641240, 488834336, -1, 598319605, -1, 8305423, -1, 535858009, 204261330, 363173928, 619297517, 351240362, 67827968, 256623694, 633523466, 900933369, -1, 340493508, 418039490, -1, 788108161, 145433669, 991843340, -1, -1, -1, 552026434, 688469722, -1, 579606640, 343599327, 175596420, 565405335, -1, 694828079, 806179060, 917562670, 143562125, 894086398, 795861182, -1, 168880424, -1, 594142267, -1, -1, 969198853, 363208063, 897025527, 825106605, 741900551, 442962179, 363320178, 623508924, -1, -1, -1, 674029970, 138359167, 25315808, 102613049, -1, 778689217, 570506297, 886370084, 724952861, -1, -1, 689850015, 489215982, 463108632, 196971422, 902923745, 814897417, 365882139, 715427120, 7984225, 389049921, 908110720, 104408225, 628097975, 877336655, 383658763, -1, 547018439, -1, 824408564, 233017490, 233380069, 139210710, -1, -1, -1, 580775651, 808697013, -1, 44329015, 465777390, 147472272, 434068444, -1, -1, 954977793, 576142503, 715868714, -1, 306362646, 891327383, 297165190, -1, 175734806, -1, -1, -1, 641012319, 193983961, -1, 780124917, -1, -1, 340302603, -1, -1, 434004465, 867869300, -1, 824819376, -1, 944484194, 473548519, 78166953, 645025573, 640045795, 313269393, 924687846, 592814534, 696509485, 281722336, 499082283, 500200773, 769738869, 948815995, 204619817, 130352448, 447262690, 992233862, 544130395, 516513182, -1, 667361241, 193149230, 180828912, 151703401, 994308918, -1, -1, 834600916, 566467645, 650953436, -1, -1, 509809998, 736122772, 572215220, 735175647, 600062397, 883998517, 364556071, 108745764, -1, -1, -1, 595186103, 819286520, 385024819, 310426356, 890576297, 783794878, -1, 521055363, -1, 329016729, -1, 998144132, 692653451, -1, 422332824, 575854606, -1, -1, 762407707, 646814131, 482367865, 977489119, -1, 862803527, 345819781, 227988240, -1, 35179133, -1, 573778050, 110176792, 24318434, -1, -1, -1, -1, 166692130, 279359480, 77579582, 987539891, 973539580, 903408893, 611329577, 340990857, 174132728, 958691965, 266920365, 524231040, 377186773, 989565803, 845817683, -1, -1, 57458517, 134252428, 832080923, 162911062, 279781276, -1, 371332982, -1, 308809357, 605472028, 98405973, 697132784, 368259720, -1, 315231296, 646631584, 947723052, 58766000, -1, 83411926, 657695376, 929131572, 336020281, 66646512, 582350281, 81966774, 442967916, 899573990, 434071345, 146661932, 578102058, 789494882, 4185580, -1, 608855273, 96483940, 613898502, 344552721, 6250318, 448149890, 42277625, 685889897, 240376818, -1, 962988232, 748689959, 355617098, 623236173, 722166352, -1, -1, -1, -1, 648867430, 467052834, -1, 951608300, -1, -1, 960254999, 192522358, 269709179, 999260401, -1, -1, 661889128, 442698521, 612247143, 196508702, 760351659, 966370739, 900497794, -1, -1, 85004281, 967888903, -1, 679589831, 881934108, 5121963, -1, 370886946, 800983918, -1, 959831384, -1, 161139547, -1, 618306607, -1, 472004994, -1, 699500001, 100159409, 70852044, 649569252, 646294162, 497443966, -1, -1, 634363548, -1, -1, -1, -1, 720390523, 80115924, -1, 362162272, -1, 29518630, 846452150, 531042837, 12292683, 901149480, -1, -1, 592633041, -1, 584147763, 355926561, -1, -1, 682273965, -1, -1, -1, -1, -1, 324255059, 122597197, 523369880, 589873897, -1, 645358866, 584231428, 102010449, 279619184, -1, -1, -1, -1, 447166661, 629544634, 857304644, 159586594, -1, -1, 945858526, 901039368, 645815511, 589728599, 203812786, -1, 443112499, 763715980, 371022548, 736763827, 261917482, 824244078, 86587671, 874329560, 903801773, 1149524, 119975076, 68082059, 827833960, -1, 153198424, 734282068, -1, -1, 203421927, 241275459, 609720278, 284387128, 558429532, 420642065, -1, -1, 984330559, -1, -1, -1, 352401742, -1, 964048837, 539412002, 983262546, -1, -1, -1, -1, -1, 236867835, -1, 861599730, 154753648, 891030996, 269912092, -1, 71451469, 456730193, -1, -1, 292951990, -1, 661736330, -1, 801930441, 777527887, 934754591, -1, -1, 183816545, 814008680, 502083184, 552984323, 425997958, 249946709, 123688557, 861545111, 27009067, -1, 107257866, 379251561, -1, -1, 753740922, -1, 869216473, 825583035, 570813607, -1, 310678254, 498756414, 384628225, 648999394, 464466512, 230124444, -1, -1, -1, 985523587, 751855339, 963770639, 396343848, 484484137, -1, -1, 13217380, 184790714, 990010393, 301508878, 463156800, 637734932, 492971685, 568590368, 940793163, 142559222, 929411232, 427761480, 132124505, -1, 719759827, 948943737, 220291608, 786378949, 747254095, 582252927, 608784707, 440431987, 512748848, -1, 267254100, 478159549, 95720392, 80951253, 952620201, 726856173, -1, 707743612, 767310481, 95055675, 371886605, 999082499, -1, 571412617, 956575901, 376247272, 661834192, 683703082, 85693506, -1, -1, 78244540, 525885729, -1, 725894994, 115004808, 161043160, 29553102, 782422286, 882380519, 50743953, -1, -1, 51506841, 376371291, 806372210, 967849464, 757095068, 920670981, -1, 546480781, 411061318, 645877984, 476654021, 182634396, -1, 879456774, -1, -1, 459003851, -1, 96624422, 165161357, -1, -1, -1, -1, 329080994, 289398069, 885709459, 843514393, 295428745, -1, 401739884, 340520403, -1, 202210787, 802284923, 120775469, 902943416, 192047964, 195980486, 387632151, -1, 8710149, -1, -1, 134449356, 724706364, -1, 905810526, 937388274, -1, -1, 112906225, 368818427, -1, 955653438, 229704174, -1, -1, 482058833, -1, -1, 534722548, 818596010, -1, -1, 301415178, -1, -1, 966493728, 729102751, -1, 527073816, 984347242, 10531151, -1, -1, -1, 531221376, 797178181, 352501070, 517516160, -1, 659809929, 96859214, 136401122, 706526964, -1, 444478622, 549732328, 108504401, 295236647, 915961837, -1, 871466802, 134668587, 15283928, 813387321, 197311214, 153117242, -1, 739295014, -1, 1682920, 657445288, 815240935, -1, 535703960, -1, -1, -1, 781177387, 790339983, 908134008, 952675393, -1, 327089298, 928269387, 915173572, 63385042, -1, 4198330, 115211276, 38948165, -1, 618403449, 815731173, 843363344, 214585313, 272520526, 823955487, -1, 19639546, 339668375, 321157028, 487738516, 219043809, 720498697, 424632648, 485457648, 719612884, 336094167, 792894553, -1, 40335412, 968725723, -1, 471240920, 372933330, 35451779, -1, 964783346, -1, 382994922, -1, 594946020, -1, -1, 183269899, 410196367, -1, -1, -1, 456321185, -1, -1, 602972735, 157546548, 316062650, 178436548, 281368789, 386557710, 848273115, -1, 246000665, 677151037, 863727443, -1, 340812474, 715484999, 458643737, 871745377, 83358331, 183812108, 716106832, 196582228, 218769184, 221136262, 186139644, -1, -1, 325399462, 56648845, 239539370, 543765328, 839870819, -1, 326803559, -1, -1, -1, 129027818, 296914357, 838245131, -1, 494608557, 973384257, 268940705, 358222822, 977368978, 840454860, 864257745, 78755372, -1, -1, 480339174, 639604762, -1, 719552926, 774096523, -1, 184094831, 988452987, 682604699, 371980774, 452213653, -1, 824107900, -1, -1, 106139316, 901121953, 91246772, 365696829, -1, -1, 443003645, 257313948, 995259088, 891772137, 180829238, 602132946, 825332574, 951825571, -1, -1, 917620123, -1, -1, 821036443, 566694056, 907124727, 99625889, -1, 304683998, 385875352, 905697420, 662324851, -1, -1, -1, 132118579, -1, 639978474, 581438625, -1, 995349532, 45520925, -1, 303526164, 711646834, -1, 795610721, -1, 737000906, 58366643, -1, 622376085, 314383189, -1, 880645786, 966310246, 287241282, -1, -1, 996673417, -1, 639708350, 654009663, 202761377, 213557978, 132623362, 621871473, 667063822, 666995255, 538973910, 45208225, -1, 303756713, 93621837, 90455783, -1, 863074468, 256393253, 998695412, -1, -1, 473374845, 984812715, 943653436, -1, 505718099, 340632520, 868982462, -1, -1, 179223391, -1, -1, -1, -1, 801355579, -1, 924543171, -1, 664139777, 826955410, 662895312, 585203627, -1, 114633968, -1, 195558759, 613350063, 602880027, 275128672, 678272038, 475185880, 974384030, 383669020, 491558307, -1, 417628948, 340846114, 636337433, 180750840, 138711956, 178810211, 494794918, 545949926, 26135757, -1, 102834953, 157488995, 580330008, 63314872, -1, 627963448, -1, -1, -1, 758281830, -1, 704662793, 936744947, -1, 493093994, 581569127, -1, 207676423, 389489751, 483828963, -1, -1, -1, 600046402, 632135363, -1, 378778017, -1, 897253734, 32918750, 578526858, 355863858, 29702248, -1, 101462831, 678208921, 279093669, -1, 234429388, -1, -1, 724808999, -1, 318655679, 823227635, 621876609, 463914194, 963578090, -1, -1, 620444582, -1, -1, 938792540, -1, 982239208, -1, 574359018, 766222170, -1, 709686589, -1, -1, -1, 808229573, 641054796, 569218252, 850795215, 895776707, 373773550, -1, -1, -1, 600296794, 605590736, 936398773, 270470622, 868230251, 665951782, 786167159, 408570225, 636264697, -1, -1, 636236474, -1, -1, 105392771, 826514749, -1, -1, 334385086, -1, 3767964, -1, 680513354, 725271372, 192029844, 854710166, -1, 129337794, 780446939, 836165747, 409379125, 884085228, 314742431, -1, 956020467, -1, 122682894, 465406172, 809683168, 300218966, 962154719, 594809692, -1, 685035293, 668775701, 178710255, 737889826, 18628481, 229874387, 394239488, 815610951, -1, -1, 652914987, 844369931, 785823515, -1, 30503576, 906526865, 831068847, 771980021, 984445717, 843620313, 958997403, 458782593, 63262321, 88984114, 892446548, -1, 565136508, 510496957, 855739007, -1, 601792885, 533893397, 798133907, 424850054, 396694546, -1, 452193969, 89301486, 835544387, 462721543, -1, 275191002, 749344296, -1, -1, -1, 346259433, -1, 739654501, -1, 641222953, 375559887, -1, -1, 213643810, 593287448, 74292877, 913358302, -1, 778511071, 346479162, 935267955, 644974682, 455084260, 568967747, -1, 433908308, 991420337, 435645360, 189697656, 672245871, -1, 918738011, 756251193, 156857135, 778548223, 465756978, 238726821, -1, 590001602, 426460182, 902329588, -1, -1, 103175975, -1, 341640005, 170106674, 145977845, -1, 728197544, 584259929, 927934621, 613204210, 547139237, 300653040, 901703802, 748617958, 972504431, 900662366, 576889778, -1, 501318287, 721696182, 966353824, 152870812, 478712081, 238519728, -1, 233726387, 675602080, -1, 814607989, -1, 929634935, 766530778, 987693513, 986372883, 687186412, 362130704, -1, 399320056, 103414302, 341087617, 32797666, 883003178, 779514184, 311964832, 418141133, 722124096, 407302031, 369548828, 568508022, 499204362, -1, 15706772, 653092853, 792621923, 767130170, 443422434, 704569709, 648158944, 124685279, 709175399, 181764235, -1, 258916566, 774204037, -1, 225638295, -1, 759477377, 242945913, 612792631, 331168803, 371738859, 309412650, 195034152, -1, 374083722, 421019150, 790461451, 333520004, 230721030, 322265481, -1, 450936776, -1, -1, 291572340, -1, -1, 21413569, 534468644, -1, 555035231, 572009805, 262413326, -1, -1, 289872605, 205391504, 147941239, -1, 375802325, -1, 256719938, -1, 420956152, 754341934, 214889473, 264611014, -1, -1, 490701724, -1, 184918111, 318531509, 218167641, 416622246, 227533216, 70979957, 13376307, 149935689, 203229887, 381187934, -1, -1, 537411771, 142705354, 904603488, -1, 410760516, 228449160, 273898888, 726506629, 316137775, -1, 700930709, -1, 501000090, -1, -1, 203393378, 87044165, 685167759, 809574838, -1, 384830593, 997824125, -1, 27278414, 649745486, 971281717, 292588812, 594006757, -1, 145342237, 644801736, 676550790, 920952846, 890730383, 663574700, -1, 362540191, -1, -1, 198701994, 438672926, -1, -1, 903270316, 19865542, 226443266, -1, 447223373, 279932493, 125742830, 57798309, 179700784, 816546986, 68899157, -1, -1, 799967108, 597603056, 119132723, -1, -1, 376913041, 105813427, 467242718, 107811548, 46859049, 913167986, 924903276, 962301307, -1, -1, -1, 227494062, -1, 805542317, -1, 188358265, -1, 132184090, 788027219, -1, 45967711, 714422136, 538609826, 780827262, 850802454, 23362508, -1, 736581422, 985361894, -1, -1, -1, 871412559, 742591049, 162911938, 143679465, 855198062, 693162741, -1, 815525018, -1, -1, 692534142, -1, 305247643, 384065648, -1, 614159816, 773910802, 834024679, 501681733, 78329783, 172789877, 551440200, 930218212, -1, -1, -1, 1160957, 115573055, 132552945, 653129353, -1, 427360199, -1, -1, 798848720, 483271607, 792240040, 463268584, -1, 985814909, 197626009, 532353590, -1, 772441147, 932432089, -1, -1, 520613896, 718991801, -1, 879145848, 930824882, 381605566, 239513404, 618346990, -1, 328105606, 464907945, 397603313, -1, -1, 778856008, 519519744, -1, 222186565, 312991069, 772817748, 854935240, -1, 403831575, 889956116, 652663320, -1, 561276948, 395150632, 923906667, 745609020, 693696066, -1, -1, 958736213, 756300205, 549990493, -1, 895991642, 430952781, 691205784, -1, -1, 434129693, 940802717, 198191607, 627639815, -1, -1, 140027654, -1, 561560118, 41408107, 800100843, -1, 98905532, 224042982, -1, 722412273, 416352337, 59974097, 146366889, 84787373, 193389456, 232645866, 171755444, 509614028, -1, -1, -1, 35323881, 387326045, -1, 14479892, 862696305, 384336964, 548642357, 843122625, 904262826, 489028423, -1, 56835097, 862480353, 46564321, 760005370, 798444208, 809283345, 604021931, 892005474, 90538246, 905718677, 713795051, -1, -1, 734269721, 402057103, 402772972, 216510346, 960196661, 831582614, 870279138, -1, 775830848, 939801028, 845632283, 910055153, 703282755, 337706067, 771557607, -1, 885321182, -1, 180536627, 348154758, 236995563, -1, -1, 396712990, -1, -1, 304327768, 171801192, 607010138, 458274056, -1, 263841694, 970483972, -1, 837696258, 284978, -1, -1, -1, 400807257, 52627558, 5935296, -1, 355472595, 887607262, 63352391, 284862477, 726458499, 41259504, 358847518, 209740265, -1, 285161641, 426410458, 666156570, 126772513, 275532065, -1, 434666572, 58167072, -1, -1, -1, -1, 800925859, 393354010, -1, 717173433, -1, 114304089, 780279645, -1, 632511456, -1, -1, 471375543, 350765523, 598873382, -1, 470105319, -1, -1, 195495912, 782979020, -1, -1, 913871259, -1, 449239578, -1, 911937076, -1, -1, 554422963, 591049426, 350423771, 631473586, 913225190, -1, 723828227, 316304950, 172898551, 651531115, 167864576, 211465332, 579083922, 468878194, -1, -1, 487360664, 369058798, 110934556, 131669553, 276134744, -1, 130201804, 980715726, -1, 514575156, -1, -1, 611351997, 35110852, -1, -1, 452136198, 536663983, 617700173, 221573428, 50179303, 161950423, 474336240, 96428395, 934473402, -1, -1, 160072865, 216145497, 269794287, -1, -1, -1, 561018838, 669091760, 521566326, -1, -1, 427314016, 834090393, -1, 995393591, 626567006, 3549016, -1, 47934395, 597311334, 920906026, 941866242, 643447733, -1, 588082040, 801212410, -1, 532087009, 449379390, -1, 835164864, 614608727, -1, 624645018, 223923483, 913113376, -1, 833918111, 603938122, 482085410, 649195828, 850054210, -1, -1, 671940893, 462270144, 563269270, 734862154, 348475718, 910461830, 248529164, 999965867, 118888478, -1, 105150978, 877848214, -1, 686676093, 881210985, 108588003, 596376206, 686543878, -1, -1, 405982452, 616963380, 249045905, 934703487, 160995334, 844472326, -1, 524428114, -1, 986392428, -1, 9082363, -1, 654440893, -1, 486940303, 427003767, -1, 196125940, 694111286, 331268406, 452133758, 26678569, 846647976, -1, 825625963, 568256443, 958522913, -1, 39598607, 466793458, -1, 799032573, 426741690, 818329954, 592027526, -1, 381146736, 31237743, 70995925, 392306104, -1, -1, -1, 415672997, 11313029, 123530087, 131017573, 264435899, 557320917, 548358931, -1, 9664882, 587330678, 975509764, -1, -1, 825811268, -1, 973364046, 528915121, -1, -1, -1, -1, -1, 25319584, 152905556, 217083252, 384936064, 429574508, 538992317, 238711875, -1, 680020220, 398013302, 924672283, 632906802, 363137925, 48569381, 606668449, 906819735, 781169442, 331114357, 752690988, 963454250, -1, -1, 65852667, 425835203, 409480216, 568034425, 308462199, 818349175, 389827248, -1, 177500395, 135380234, -1, 633318815, 631857073, -1, 907178128, 949258333, 271719695, 306898373, -1, -1, 618879642, 35995188, 507671692, 73296377, -1, 990167761, 923495303, -1, 930836588, 777003754, 846157883, 946741288, 411988072, 570840998, -1, -1, -1, 398552387, 267497181, 546113296, 371045113, -1, 119468828, -1, 627434090, 271186969, 817931032, 185679157, -1, -1, -1, 681671886, -1, -1, -1, 431657326, -1, 609489623, 644787435, -1, 187667636, -1, 525251202, 849587180, 760532784, 285551547, 879020555, 158826354, -1, 132899676, -1, 99874392, -1, -1, 114417892, 329134516, 516040093, 540338947, 272802914, 74221452, 550329424, 693796617, -1, -1, 758629432, 559956384, 161979355, -1, -1, 49278567, 731502476, -1, 90756605, 889111978, 822609224, 822035766, 416746875, -1, 418236616, 210861832, 226785676, -1, -1, -1, 508771530, 306066529, 705664343, 830119590, -1, 533125759, 186668065, 85604198, 917391494, -1, 449045360, -1, 941769021, 535708533, 424738299, 457936896, 7359078, 74264414, -1, -1, 599368368, -1, 463716209, 891511400, 820512215, 118108408, 218528502, -1, 206706641, 390215513, -1, 856882621, 346334680, 24610636, 3206896, 218365404, 68080787, 366552567, -1, -1, 222007591, 414446545, -1, 252708346, -1, -1, 423090896, 39791746, -1, 743423639, 450045689, 917379740, -1, 339630998, 136938493, -1, -1, -1, 913142041, 789608332, 776434186, 683281176, 320381322, 254513003, -1, 398787271, 770679966, -1, 561886457, 693801694, 366970758, -1, 611286688, -1, -1, 348286152, 747873257, 453137409, 599980683, 359451158, 321105468, 642430893, -1, -1, -1, 560703495, -1, 929851594, 75096370, 894465141, -1, -1, -1, 471206280, 713714341, 391363815, 163017888, 599436268, -1, 618054620, 139673290, -1, -1, 53489882, 964519149, 193350169, -1, 33668313, 569995894, 945259017, 573692250, 981837967, 721549083, -1, 201308686, -1, 143374274, 551631336, -1, 459964160, 937510980, 163529090, 29442497, -1, -1, 600300036, -1, 783781580, 92102126, -1, 152268275, -1, 527574088, 906325190, -1, 703877318, -1, 164137427, -1, 186534671, 929307019, 220504221, 673294145, -1, 308923088, -1, -1, 527145480, -1, 772797017, 932943068, 322131183, 296372742, -1, 196309925, 81639166, 257492607, 202322278, 200094845, -1, 303575621, 803451195, 727997163, 497424635, -1, 565013044, 311008123, -1, -1, -1, 550315016, 803927205, 67277779, 256187328, -1, 342423832, 431495795, -1, 39025873, 208411747, -1, -1, -1, 234877481, 786369652, -1, 579392868, 117954746, 448480679, 232144025, 737133122, 408954948, 404225788, 971569053, 192398424, 515242052, 748351757, 290674370, 87897154, 53045621, 813674912, 626282840, 813855854, 868794916, 916130993, 748396484, 760198237, 104181796, 686893523, 389550264, 705588163, 473406383, 304460523, -1, 717931462, -1, 840741558, 982560516, 858264425, 726104645, -1, 965327627, -1, 84319748, 89732002, -1, -1, 896492183, 332482358, -1, 202496039, 327104141, 664486955, 127446489, -1, -1, 138726467, 549087060, 834760371, 711126847, 84472536, -1, 178180003, 549545319, 558675806, 785778323, 909812419, -1, 532749467, -1, 733550866, -1, 800105703, 154350141, -1, 602894219, -1, -1, 242686181, 255010598, -1, 136308373, -1, 518507592, 580341144, -1, -1, 316834091, 364298085, 965978291, -1, 553741469, 617157268, 177213900, 174109911, 248302313, 939923062, 52510698, 654730174, -1, -1, -1, 230440852, 301477810, 547766169, 164770788, 282646369, -1, 197843148, 915359258, 668630585, 31058626, 783251060, 153231615, 612350552, 737050082, 867123452, 989719612, 557275209, 946995767, 732531106, -1, 966207200, 199387513, 370750570, 852634202, 754113253, -1, 446292714, -1, 481668120, 675637435, 206091453, 382852198, -1, 553191960, 490223724, 21973314, -1, -1, -1, 794573915, 29254457, 610762808, 865599140, 367867443, 986317160, 582969264, 15617112, 277200165, 17003774, 266811968, 999995929, 565269138, 404723790, 88671099, 226068182, 153581391, 374451361, -1, 66136216, -1, -1, 204009601, 315796469, 788096346, 833506705, -1, -1, 221810251, 572636354, 600903524, 361722152, 493729433, 984372457, 82680257, -1, 577656212, 320612865, 505299823, 309729471, 250091081, -1, -1, 973781785, 927638802, -1, -1, 685694235, -1, -1, 337308487, 841147738, -1, 119271813, -1, 722728504, 281281844, 775742764, 285060959, 382065985, 909377941, -1, 534442397, -1, 564943271, -1, 697458207, 618394997, 140603630, 896855521, -1, 549889992, 476612989, 699065546, 484065307, 632934971, 92614338, -1, 347438275, 473112431, 302104397, 345705580, 998615449, 450658078, 586019054, 537620452, -1, 790786239, -1, 287908004, 183034481, 169667314, 929849895, -1, -1, 335123241, -1, -1, 449106287, 503269995, 789110446, 46294524, 349299893, -1, 223663045, -1, -1, 29533966, -1, -1, 668415342, -1, 923574909, -1, 374730605, -1, 321982222, 368709404, 945614082, 285596464, 371423262, 434592694, 632300676, -1, 678072809, 756474782, 859882430, 555191464, -1, -1, 610623331, -1, 511542593, 677009414, 560678612, 679494883, 383408614, -1, 628498590, 664304327, 905466027, 606366151, -1, -1, -1, -1, 847134029, 313169316, 921523596, 663627664, 170312473, -1, -1, -1, 81586749, 158614746, 653908344, 806605826, 401317195, -1, 35032165, 217305305, -1, 589717917, 778743227, 116701176, 104233782, 431749972, 961515196, 84570455, 850492995, -1, -1, -1, -1, -1, 876874540, 219635757, -1, 197980141, 386926862, -1, 841124039, 796335711, -1, -1, 924569114, 254685591, 442482782, 498805848, 213952118, 787553181, 965778620, 538178252, 402421781, 682827443, 275206439, -1, 427893415, 905687460, 766346970, 396765722, 44152054, -1, 330646003, 944994732, 98298436, 258946194, -1, -1, 259845240, 682951982, -1, 352215994, 771944233, 620912312, -1, 409220047, 297873154, 696061270, 849342016, 85348128, 863489081, 570483420, 530215196, 888796870, 498782839, 120739651, 189889905, 101711312, 208846075, 487599444, 311738943, -1, -1, 716222759, 280274022, -1, -1, 445629052, 406883252, -1, 719337841, 525869660, 475150760, 871958341, 890185989, 353324897, -1, 2804091, 224180071, 361601933, 493808777, 669634668, 769862253, 339189820, -1, 459859297, 692482000, -1, 252218010, 110776087, 912771549, 5506743, -1, -1, 251431666, 961817365, -1, -1, 248168671, 144574851, -1, 492323936, 84246247, 952812879, 960938140, 942727458, 110222507, -1, 470748659, -1, -1, 934046621, 49165376, 654419364, 70153298, 630898278, 706626503, 68971708, 190955143, -1, 452675326, 83689186, 138159356, 820490734, 279685408, 773126718, -1, 922745875, 360043098, -1, 22286671, 899823065, 174211657, 612111411, 512322430, 899296335, -1, 148342858, 990365690, -1, 269926294, 784910934, 53223891, 217089833, 892061217, 133164639, 657707709, -1, -1, -1, 229581006, -1, 122703614, 150841715, 411317910, 321263634, 295004799, -1, 156319868, -1, -1, 44688544, 482338911, 303559635, -1, 471432743, 823414353, -1, -1, 866754501, -1, 839824749, -1, 748346307, 603345372, 706133066, 675075252, -1, 91242508, -1, 144849491, 562770890, 426757015, 911625189, 953671506, 514695638, 425245614, 234640594, -1, 883890931, 181600943, -1, -1, -1, 804873128, 868371126, 240388020, -1, 434026641, 791989850, 943128680, 104042269, 197049197, 516049975, -1, -1, 726254280, 147078858, 981130579, -1, 642130999, -1, 143844566, 222883373, 189221007, -1, 154379952, 293707602, 578612841, 351104714, -1, 252991242, -1, 388522575, -1, 431960841, -1, 647375583, 506282973, -1, 859760241, 490465072, 398659448, 445782079, 246209667, 53000224, 224273130, 133990278, -1, 300664048, 467431759, 357439454, 916794619, -1, 842216358, 208807063, 205293993, 66283045, 97370150, 677711355, -1, 949966648, 532515094, 280863549, 164095703, 82710807, -1, 743047557, 7241089, 949834175, 927043071, 72431008, 158173500, 846462910, -1, -1, 122220906, 785565410, -1, 380364447, -1, 288243286, 698864632, -1, 603361583, 171490920, 360534575, 53957580, -1, -1, 411400482, -1, 703222425, 276622556, 544964478, -1, -1, 731227965, 767028031, 345180971, 142215406, 208332102, 295046349, 75739075, 774329738, 842072880, 133281730, 199938193, -1, 254249040, -1, 756430840, -1, 216580590, 808376542, 782288982, -1, -1, 26804709, -1, 725081673, 996486348, -1, 889172990, 470194286, 695320336, 853359301, -1, 949886093, 916745753, -1, -1, 434752518, 98501816, 4716168, 332054092, 523164551, -1, 938565841, -1, -1, 524664200, -1, -1, 825386672, -1, 732854465, -1, 259047425, 273024844, 542376447, 800692890, 625276281, 437674179, -1, 127470196, 579800145, 207131736, 874201148, 413854485, 693719949, 695312394, 257558859, 217880426, -1, -1, 438845150, 84143484, 305358438, 647865670, 379427329, 785281881, -1, 824808971, 552792461, -1, 948258109, -1, 112664856, -1, 324498946, 931486861, -1, 296715842, 380246764, 567366451, 62494098, 709620084, 115445365, 351149462, 667172847, 182361471, 466661116, 357552527, 687224956, 251977523, -1, 547034672, 687149858, 322979048, 149175116, -1, -1, 514141368, 702464431, 872158329, -1, -1, -1, 227599983, 537860296, -1, 954497189, -1, 863660264, 546799084, 414054742, 350226955, 563069489, 151477467, 39979398, -1, -1, 505183779, 700120222, 109570005, 544460463, -1, -1, -1, 156809937, 649943997, 765620164, 164172171, 700417288, 195627896, 641509578, 366147491, -1, -1, -1, 655719326, 880298455, 850989833, -1, 950828189, 403254005, -1, 623561649, 91519307, 413784426, 92396274, 258317703, 467021133, 615307266, 231345812, 516800711, 405570361, -1, -1, -1, 114498852, 886554404, 640705511, 805542975, 574576251, 316421085, -1, 799663583, 897072942, -1, -1, 380209872, -1, -1, 126001988, 568721108, 79391161, 53462296, -1, 956300847, -1, -1, 132498926, 647304636, 303688509, -1, 347643786, -1, 273257903, 632521219, 251134738, 126464209, -1, 205283681, -1, -1, 545388792, -1, -1, -1, 258625913, 867369534, 395689825, 463702464, -1, 235563987, 298312054, -1, 627549227, -1, -1, -1, 980400341, 763014539, -1, 159060419, 482366140, 413503013, -1, 505344371, 734737656, 145593677, -1, 194961782, 516543607, 227267892, -1, 537063108, -1, 886071925, 829052623, 330105821, -1, 315725404, -1, 395780716, 787440103, -1, 300223755, 98574585, 899706455, 496650590, 78706074, 952535115, -1, -1, 911137800, -1, 485294427, 145804337, 281114661, -1, -1, 111834517, 606995738, 88632243, 953165976, -1, -1, -1, 356509664, -1, 900792905, 458639409, 281117991, 24709769, -1, 376010125, 468755246, 817588614, 420830019, -1, 406489563, 184135605, -1, -1, 120846254, 883827621, -1, 241131056, 268156552, -1, 192117197, 168090323, 212629068, 243783216, 281546610, 868718474, 186321236, -1, -1, 368485229, -1, 214594664, 578838326, 865799108, 334495676, -1, 846653766, -1, -1, -1, 599841172, -1, 143711879, 261611283, 235202897, -1, 897098672, 309942092, 729668157, -1, 946217008, 986679815, -1, 326613026, 469949069, 63711543, 629294977, -1, -1, 690589960, -1, 727850237, 288397507, 432467277, 473515887, 419969737, 614650819, 89254115, -1, -1, 607363317, 112055593, 922566502, -1, 323929521, 276473190, 756895800, 362362529, 702129617, 103085552, 27616232, 831745957, 183803, 751196631, 16037237, 660148551, 74152482, 209615219, 255589766, 491718720, -1, -1, 147911848, 906251537, 621178518, 401525892, 243429564, 534077139, -1, 246228960, -1, 390716571, 420039660, 953718600, -1, 36876439, 342903851, 847299076, -1, 394549952, 7521032, 178642633, -1, 237408469, 833841924, 384028171, 539096562, 243464289, 365878346, 391273119, 501510036, 389583795, -1, 623543370, 761477891, 276217000, 670532715, -1, 609982922, -1, 594124597, 541022726, -1, -1, -1, 504975796, 953391752, -1, 668944811, 696440818, -1, 439461931, 305118023, 101429992, -1, 647856502, 113964229, 785714640, 949362537, 767643536, 194216324, 643678375, -1, 363658989, 349762856, -1, -1, 928509843, 348230939, 937636473, 272844024, 8081149, -1, 919686598, 37136394, 255082829, 678512061, 330568111, 102321444, 463821451, 129726805, 432246056, 340505822, -1, 568806779, 170841313, 927638167, 126589447, 350437568, 64266074, 353866952, -1, -1, 547670552, 643833385, 47661235, 224431835, 68708659, 73406177, 393109392, -1, -1, 272013948, 441365175, 88200491, 268440701, 243748057, -1, 154574469, 799714827, 159287673, 78367922, 861689248, 721270668, 710342344, 898597402, 332027001, 228398351, 847947593, 713711370, 385796410, 687565550, 903471196, 70068089, -1, 750043581, -1, 175208685, 704058818, 700771828, 895306075, 543771998, 244937965, 383757129, -1, 215827749, 74703756, 732515299, 435824300, 341172775, 687083914, 861996993, 680152272, 552029548, 478461005, 164128977, 850047452, 480979781, 295931819, 120358341, 245245752, 134016531, 776434979, -1, 131263997, -1, -1, 598760688, -1, 380385784, -1, -1, -1, 173378538, 448832938, 942522847, 523693183, 890976267, 144392552, 400131903, 470771004, 551484549, 32006402, -1, 774932829, 73173971, -1, 348404916, 986054678, 808804060, 432799275, 153055663, 664592051, 478977188, 231929570, 950116608, -1, -1, 669557157, 353404937, 22789900, -1, 241509634, 214221892, 828581639, -1, 135884940, 425686438, 337828074, 988785369, 250393345, -1, 631758165, 318647017, -1, -1, 416610846, -1, 949269743, 223602274, -1, 474316704, 113623566, 261679507, 29832056, 590983849, 181647980, 323296393, -1, 473581347, 959076870, 973671007, 515551481, -1, 640170291, 284270516, 447556856, 556912172, 407593821, 589484518, 430475467, 55473321, -1, -1, 30161915, 333166004, 227383243, -1, 130375253, 625003774, 275682668, 963846339, 842167772, 902491608, 867567449, 295054945, 186547900, 731348815, 950627087, 218865895, -1, 957278511, 369684455, -1, -1, 955494639, 945740017, 877216555, -1, -1, 830697595, -1, -1, -1, 861233814, 879160331, 257559332, 914247289, 832488329, -1, 668981303, -1, 997044565, 71431440, 1504874, 23229442, 227496786, 709616619, 521590585, -1, 983272101, -1, 652457045, 932746238, 176317056, -1, 168334474, 484768665, -1, 130813265, 406153724, 313149589, 21469111, 954927461, -1, -1, 816828502, -1, 123578782, -1, 860064234, 772456002, 859030979, 166723920, -1, 945787517, 298819379, -1, 192924544, -1, -1, 542980403, 400474719, 29505449, 847564331, 271379284, 906974599, 61935095, 934543259, 294086973, 562321494, 468656179, 594805003, 800090618, -1, 32329013, -1, 503437735, 895104567, 805407478, 706908176, 503343330, 798037041, 548784525, 577919812, 811361372, 811372159, 358638011, 631247017, 587987752, 886219709, 244271769, 197504167, -1, 367468004, 696261232, 590097858, 336483078, 376242150, 674705895, 853840216, 592987323, 247136186, -1, 598352116, 860661932, -1, 394337665, -1, 116464040, 323204924, 207883177, 500521751, 945168274, -1, 571148184, 495560664, 249808262, 469931288, 424557254, -1, 21629374, -1, 256335180, 643307888, 275514031, 404104328, -1, 304001033, 569520144, 509675263, -1, -1, 111931030, 964169325, 887805846, 288981493, 135762209, -1, -1, 654535586, 561778089, 427752189, -1, 368097788, 307866535, 456043547, 252080928, -1, 818624106, 852626775, 525560951, 332962620, -1, 738942286, 104816409, -1, 956786380, 810272764, 206801673, 915446561, 494755809, 616582585, 549507883, 332781980, 892878858, -1, 925975700, 859588638, 607103735, 708107015, -1, -1, -1, -1, 44841884, 853435537, -1, -1, -1, 662524845, -1, -1, 825573696, 362354829, 730727704, 219984101, 345574419, 172473521, 517785517, 495966305, 186621011, 595005475, 250442397, 619743261, -1, 128802264, 969688512, 242468965, 274532547, 765423114, 418209185, 181539970, -1, -1, 847973499, 542376784, 773932063, -1, 142683799, 728219546, -1, -1, 183804207, 966480535, 765782982, 599435030, 65506267, 507779432, 874655171, -1, 178163762, 803696504, 199456443, 118766151, -1, 433973070, 374268363, -1, 379239392, -1, 357630809, 181840492, 781662263, 229984327, 283704808, 716470424, -1, -1, 270127116, 172409187, 773551733, 59187738, -1, 59378729, -1, -1, -1, 927212620, 416863798, 963042125, 771109999, 923530017, -1, -1, 879968318, 314877994, 155082165, -1, 14428429, 103453481, 684947914, 823862043, 467191250, 183332216, 748396639, -1, 455565785, 627004616, 841405407, 478147700, 490974345, -1, -1, 791266239, -1, 862089682, -1, 411582130, 798578171, 546135308, 210677072, 65698431, 866352100, 779501935, 595660630, 930118472, 887829160, -1, 469099908, 29563120, -1, 885592131, 992079198, 563240024, 329823571, 388005970, 745144715, 135828853, 145026702, -1, 913763537, 680150314, 407795684, 66523590, 557987787, 72796717, 636423420, 466009060, -1, 315559170, -1, 54844174, 374831120, 160615378, -1, 191262601, 257171411, 853796411, 462547976, 937450032, 6017076, -1, 263815604, 313690321, 714735712, -1, 316324746, -1, 471575476, 504270206, 443606801, 66908796, 621656326, 687985015, 887051843, 49864859, 89859930, 391165968, 670005665, 177411488, 25049680, 37009640, 448360270, 684189767, 554186425, 256260865, 469040865, 960679853, 455268915, -1, -1, 146026411, 273612655, 99785167, -1, -1, 685261157, 672291673, 814702287, 833145301, 480647507, 455405252, 693910516, 637874171, 554653792, 992691769, 3650397, 17530641, -1, 510363459, 986372990, 208118255, 21340035, 693489018, -1, 735115182, 169365011, -1, 846854699, -1, 767577473, 944962580, 305273715, -1, 716127754, 827932276, 96233236, -1, 16942806, -1, 220299801, 91951846, -1, -1, 762071919, 552827074, 425150830, 171829125, -1, 831872189, -1, 287380153, -1, 483347913, -1, -1, 348421655, 112876093, 722403023, 438163590, 139883318, -1, 638123750, -1, 691198710, 719212248, -1, -1, 144811370, 126731312, 127963833, 743366772, 674169218, -1, 189351805, -1, 791476478, 281037151, -1, -1, 363752317, 744415248, 978760360, 626347066, 511357946, -1, 226702573, 288155757, 727776021, 781779710, -1, 653773898, -1, 887184470, 645687684, 937317870, 876021474, 408264087, -1, 296881037, -1, -1, 905651051, 409739949, -1, 451281870, 331289872, -1, 975786659, -1, 874592042, 357800791, 541798143, 319245646, -1, 266484271, 914112037, 337648167, 187769381, -1, 238441639, 348276113, 903211948, 912872151, 361850471, 593885741, 891559217, 122779111, 279039273, -1, 678575737, -1, 962338289, 540590146, 495233644, 866765437, 862304988, 442040938, 568061105, 633782124, -1, -1, 409368142, 476225698, 993341134, -1, 159026523, 673558, 320317321, -1, -1, 242385485, 748433108, 47673370, 952643352, 305656540, 241279248, 686679438, 701811565, 368929225, 57289646, 647119344, 700419079, -1, 434531629, 597208613, 138863294, 945408659, -1, 78175167, 131846661, 885058587, -1, -1, 331424435, -1, 77593330, 637318463, 479498467, -1, 29225165, 234120428, -1, 470752241, 776207354, 13767193, 194842257, 136923033, 832974129, 32861995, -1, -1, -1, 51222606, 100566068, 56976821, 901992255, 95245809, 590815241, 301036386, 628329757, 414735959, 265054437, 202751733, 900411078, 621283093, 687094814, 8633776, -1, 739740537, 856942666, -1, 972555847, 719628203, 112060252, 501942376, 547050069, 689632092, -1, 507864684, 928146318, -1, -1, 849920733, 941062725, 512874838, 142316289, 936580217, 817083751, 67553910, -1, -1, 879785502, 632179364, 669687193, 97607371, -1, 397148513, 136333606, 807346381, 87643839, 265942867, 558350556, 218671109, 382532690, -1, 185156207, -1, 533178979, 389978972, 348619630, 947462981, -1, -1, 300390058, 417370709, 380571023, -1, 28240634, -1, -1, 776759590, -1, 284075775, 238308806, 167985127, -1, 68392284, -1, 628119898, 519713041, 671220621, 314334272, 410392608, 820224918, -1, 386746458, 343042708, 67067350, 996381138, 146391459, -1, 395468399, 638622765, 679759814, 577843790, 911007535, 661008162, -1, 909385094, 873568055, 68723598, 696697645, 669674225, 872460110, -1, 885406451, -1, 884909031, 16789913, 725629372, 754343315, -1, 673587858, 846226445, -1, 614707723, 786939074, -1, -1, -1, 287898261, 789643339, 848053, 922933054, 169540686, 981678741, 163025554, 325902458, 374955841, 886868418, -1, 406197785, -1, 43095756, 415994913, 609004944, 252498880, 280983047, 889860262, 257212343, 16789061, 193516888, -1, -1, 775134919, 44805996, 863830911, 817764254, 866571793, 116162288, 666240515, -1, 958255225, 236287890, 69900519, 136816973, 163913910, 199668950, 288341686, 817153193, 598716259, -1, 365255236, -1, 628997493, 688587155, 603867286, -1, -1, 216012170, 263863294, -1, 444381196, 150216460, 222092725, 433335860, -1, 376295170, -1, 680150915, 250696552, 94060274, -1, 55627945, 217444499, 85516424, -1, -1, 348115230, 39722932, -1, 646548696, -1, 598345538, 921235065, 513230518, 599056264, 378225157, -1, 9591438, -1, -1, 43679476, 224817457, -1, 278590515, 962581438, 152544840, 198483870, 636725702, 840683039, -1, 165711208, -1, 852694054, 747925495, -1, 534763341, -1, 917150489, 612826768, -1, 374879393, -1, 754167270, 287755704, -1, 487084472, 509210957, 463415118, -1, 271260206, 403491386, 417466466, 885467497, 13405391, -1, -1, -1, 534297968, -1, 187822340, 731889260, 517178943, -1, -1, 370453994, -1, 785643547, -1, 465719393, 544498623, 46175236, 223988287, 824545698, -1, -1, -1, -1, -1, 143072019, 27341911, 158440702, 198079438, 788687615, 199089556, -1, 992774370, -1, 191978196, 538047879, -1, 844993335, 840897848, 259952216, -1, 392550230, 411272154, -1, -1, 922308481, 248426324, -1, 416932248, 449956989, 616619484, -1, 742715878, -1, -1, 304847069, -1, 774807814, 107257831, 443375161, 310993363, 128316642, -1, 190367390, -1, -1, 609244742, 671124054, 960224125, 971953170, 801623981, 506499375, 138965657, 732482712, -1, 31125284, 124575134, 718883232, 39586005, -1, -1, 55341292, 782128986, 871721041, 428194175, 47682557, -1, -1, 747930743, -1, 751776221, -1, 74363228, 472876088, -1, 634122681, 434801210, 947856198, -1, 462829641, 161575682, 734435305, -1, -1, 7579916, 284243037, -1, 858996953, 368374929, 780365490, -1, 859911049, 27759721, -1, 234011149, 588632814, 988684706, 364798062, 42792758, 640003328, 844219685, 269542889, 288728620, -1, 290347837, 882346380, 240414410, 67595494, 275032053, 88893408, 515310441, 383458184, 522807185, 74904519, 611015041, -1, -1, 38268717, 367435034, -1, 571370161, 983274359, 753656474, 856786033, 998194613, -1, 56229124, 57456992, -1, 161211709, 722915860, 497781362, 772510371, 255981628, 546500065, -1, 105152146, 350109164, 314913547, 157427927, 854142894, 189852934, 105887589, 166706676, 648964113, 717332514, -1, -1, -1, -1, 937036383, 430237242, -1, -1, 912167160, -1, 783549478, 396731436, 100080742, 34176564, 135062816, -1, -1, 184208931, 13964076, 282020576, 754487531, 717755723, -1, 702808542, 175917882, 85720158, 885733629, -1, 995914158, -1, 822752298, 231788755, -1, 217035445, 931163260, 563265375, 1889716, 408160934, 767015036, 878004801, 821631819, 380663808, -1, -1, -1, -1, 130490119, 168281160, -1, 102373487, -1, 131944757, -1, 17855817, 724260947, -1, -1, 416293461, 776856357, 446023001, 867713079, 689165636, 90556060, 729957247, 456522287, 723577284, 311456635, 219027762, 794150836, -1, -1, -1, 621636607, -1, -1, 852976940, 51469527, -1, -1, 387844816, 186188675, -1, -1, -1, -1, -1, 638551861, 640516294, 803664353, -1, 442092717, -1, -1, -1, 178636388, 760960472, 541058793, 474510177, -1, 377424564, -1, 889445779, 463401397, -1, 781861616, -1, 416964376, 58546477, 733352031, -1, -1, -1, 381237281, -1, 392157136, 351644414, -1, 949439956, 903653952, -1, -1, 487765460, 274130338, 207349018, -1, 984432752, 664500537, 487691043, 213326262, -1, -1, -1, 177509617, -1, -1, 321107630, 440687904, 326023580, -1, -1, -1, -1, 119630641, 696176015, 371366069, 153675653, 327435488, 20253492, 681419664, -1, 154726326, -1, -1, 290816762, 612336989, 669189975, -1, 724449157, -1, 775743289, 402974273, 277131944, 162789300, 474174464, -1, 762928556, 947983282, 520491841, 440704891, 373657874, 258429883, -1, -1, 394096785, 383989313, 602255519, 194156667, -1, -1, 65915568, 698859788, 562192702, -1, 661129127, -1, -1, 491432216, -1, 569747724, -1, 179966258, 268851004, -1, 16049577, 129716987, 610962057, -1, 290042535, 191495429, 412293856, -1, 102815672, 917933343, 950002742, -1, 146815705, 670508408, -1, 796596186, -1, 12844097, -1, -1, -1, 724528152, -1, 748261040, -1, 752070668, 171039651, 164161134, 769506588, 927858314, -1, -1, 997168113, -1, 772581484, 986506135, 957083073, -1, -1, -1, -1, 927159712, 460197479, 566410683, 219376265, 566966368, 691857816, 822014781, 494716461, -1, 809495763, 928683397, 147732481, 896835032, 746873324, 938704241, 216748421, 488207737, 80750577, 803099608, 695288615, 815674478, 789078165, 844937770, -1, 48150735, 898232153, 333267524, -1, 625095404, 190884361, 304944042, 875403240, 273701064, 403530415, -1, 705523324, 731381794, -1, 303551615, 407356085, 944910928, 469789239, -1, 194958785, 234123166, -1, 200151822, 10673599, 996244576, 709914132, 270141254, 744477234, 494336644, -1, 44774326, -1, 780067293, 216905889, -1, -1, 15149657, 622790163, 33119513, 6138455, -1, 587470642, 527233776, 876896892, 460435192, -1, 511625761, 808871940, 417020053, -1, 141585912, 391827844, 766771059, 254173127, 565795355, -1, 901105072, 105734286, 818349777, -1, 290087580, 650766654, 717916293, 356399714, -1, 11382820, 894206233, 150960328, 794823414, -1, 944604965, -1, -1, -1, 669979450, -1, -1, 951434564, -1, -1, 262440611, 367275887, 803885891, 651935020, 160653951, -1, 789612420, 890307575, 523557217, -1, 600651085, -1, 411634778, -1, 647507217, 884930917, 682796905, 444726197, 157653133, 156725318, 837573346, 870685994, 450604363, 532004088, 529022463, 242435268, 740043639, 515022823, -1, 955860749, 70935737, 539331852, 155729861, 349698231, 733874319, -1, 954347965, -1, 183125372, 846140739, 267872445, -1, 107226081, -1, -1, 646092630, 735845040, -1, -1, 731100464, 951712244, 148416321, 227866761, 444460069, 256993530, 539320159, 903113869, 277008189, -1, 33176755, 134503751, 941285504, 261550542, 562355753, 164975842, 579874149, 813839649, 230101051, 84374289, 250859474, 355784412, -1, 508562746, 203019696, -1, -1, 899710536, 565087930, -1, -1, 618622139, -1, 55262421, 956768083, 328966820, 815403767, 56303094, 154607346, 336015551, -1, 336303333, 50606220, 853239890, 425240854, 27633323, -1, 984097443, -1, 786961299, -1, 395810208, 511151257, -1, -1, -1, 842862815, -1, -1, 396203715, -1, 382093886, -1, -1, 405349959, 427627086, 140533039, 93515971, 868605572, -1, 500336822, -1, 33725647, -1, 975339368, -1, 127040595, 54655975, 906680246, -1, -1, 142088261, 304706139, 637444872, -1, 426519642, 550982189, 87567495, -1, 873264064, 108309587, -1, 385677389, -1, -1, -1, 728665934, 522009562, 41215665, 590085048, -1, 83472664, 132237751, 888212085, -1, 883333010, 818425703, 958618378, 247672232, -1, -1, 748497266, 451497961, -1, 538200226, -1, 58728412, 867830924, 906736380, -1, 64439459, -1, 180414067, 707324003, 291391162, 67962540, -1, 505091987, 725309760, 755226180, 597824317, 109621541, 111282971, 932302315, 596030428, -1, -1, 640487767, 251011047, 273899921, -1, 376255924, 42356693, 687823492, 935170628, 800882976, -1, 25975320, 726774405, 157857861, 646198297, 919211208, 412516085, 487154706, -1, -1, 736721421, -1, -1, 42938628, 337425869, 888842992, 163600190, -1, 773677225, 193515843, 336738930, 445710050, 865317510, -1, 632709204, -1, 19701216, -1, 267735831, 744118318, -1, 393730484, 382000982, 573856278, 396442029, 893553821, 865274792, 76486207, 802148868, 999755914, 519289, -1, 838853677, 266822703, 751230125, -1, -1, 933089043, 188508718, 773645666, -1, 566353096, 464992381, 953528829, 932058230, 315045302, -1, 395361179, 521995363, -1, 479413901, 285100607, 199244402, 446866138, 480928523, 848843874, 791619424, 692524879, -1, 214267897, -1, -1, 281269338, 416874548, 71493097, 437970838, 470924696, 352640942, 934379345, 226465974, -1, 420286966, 112361305, 475885160, 174372979, 25065776, 919226997, 348494734, 408222359, 778491917, -1, 934649115, 965756395, 60759883, 172179458, 786154855, 229337395, 190099152, 390731054, 833579429, 995952058, -1, 4392845, 966900940, 388095372, 542513805, -1, 762859165, 428780189, 976800094, -1, 363745764, 477985487, -1, 755873442, -1, 180534544, 959502985, -1, 636730420, 399833198, 392894035, 631279135, 210155774, 718832307, 570397637, 317724563, 893849842, 816766615, -1, 581907193, 981259487, 481382516, -1, 947011007, 655585226, 223093291, 517926847, 766572452, 725324231, 480156832, 289163901, 150608898, -1, 863651279, 249931629, 706288618, 292917181, -1, 419615414, 581894534, 464067413, 388759614, -1, 174339803, 385761479, -1, -1, -1, -1, 898335874, -1, -1, 414315136, 380172777, 913824407, 590612072, -1, 544811847, 780100449, 482756175, -1, -1, -1, 867906075, -1, 721391883, 881518575, 440452692, 509107625, 368782049, 730209183, 607128330, 351800900, 172039643, 579657703, 802022547, 283972282, -1, -1, 664021886, 81209513, -1, 175666243, -1, -1, -1, 927909154, 602470698, 332463297, 876491441, 272293813, -1, 600675363, 414060769, 323904651, 26255485, 163486156, 424369678, 396101321, 835057246, -1, 817405192, 266605079, -1, 204691401, 446667345, 273252184, 867018789, 230020009, 785717611, 353362986, 164333163, 72978074, -1, -1, 682793106, -1, 990278410, 907164997, 49184535, 699061450, 63179838, -1, 852524779, 873871512, 117928172, -1, -1, 722064691, -1, 626378275, 604874172, 281921601, 463834469, 513169421, 839017959, 247490975, 846313253, 919379718, -1, 464486866, -1, 847099029, 937322903, 115388290, 819411236, 31239750, 2489706, -1, 932879154, 147183522, 332052634, 100793456, 94013130, -1, 720043002, 544205778, 495269127, 856608543, 8344056, 371105920, -1, 22087056, 661879256, -1, 176957818, 701105117, -1, -1, 473683014, 58177460, 416031065, -1, 702202479, 807365186, 218177087, 590244125, 186715318, -1, 903175952, 465806433, 567175302, 24826583, -1, 802987105, -1, 869846385, 397151190, 30225452, 318797468, -1, -1, 943237458, 344026153, -1, 327301708, 862234247, -1, 174568451, 121673099, 577699141, -1, 136145609, -1, 734456022, 199905929, 422432024, 271680722, 161935423, 6400494, 447535691, -1, 35341105, 589929938, -1, -1, 70114816, 385042582, 972555584, 391756575, -1, 732734384, 702668677, -1, 130480552, -1, 365166760, -1, 593318068, -1, 749366731, -1, 741555450, -1, 838317309, 54731700, -1, 666631791, 310127132, 345806987, 292224819, 229520927, 798258209, 183968118, 62768815, 519244786, 21943668, 525186516, -1, 149443513, 558630765, 537032510, 239715385, 513867086, 733791666, 900223923, -1, 204663517, -1, 142021926, 483315785, 662131082, 44572154, 165783282, -1, -1, -1, -1, 526631155, 802592772, 368245125, 537766311, 102274278, 824583014, -1, 863829868, 786835772, 113662136, 331536612, 694757996, 512580561, 938049755, 255327007, 748081398, 907781022, 225077599, -1, -1, 815636810, 727611355, 819452832, -1, -1, -1, 2358805, 474022647, 87012064, 236253767, 726090922, -1, 331139149, 195926537, 637388531, 817774260, -1, -1, 772181672, -1, -1, 437119549, 458670516, 331386927, 300830766, 594309940, 128546988, 853420903, -1, 523831917, -1, -1, 939463797, 894455512, -1, -1, 278986060, -1, 544845060, 380048488, 791050638, 385629758, 169577945, 489406435, -1, -1, 943689966, 795329640, 972222085, 431944743, -1, 334423735, 601504414, 629825253, -1, -1, 164111219, 648740408, 574992334, 318525925, 359857062, -1, 581686937, -1, 677260127, 15226151, -1, -1, 130604275, 366437590, 849880950, 145525512, 590221743, 577937595, -1, 713899738, 937022920, 537482753, -1, 703314382, 717627015, 580258954, -1, 502009051, -1, 618465527, 880520201, 244697171, 371098975, -1, 338209035, 807501335, 122657766, 444312743, 448398711, -1, -1, -1, 925612408, 765601532, 851276294, 23389959, -1, -1, -1, 869327273, 633054806, -1, 131369757, -1, -1, 543526238, 743250023, -1, -1, -1, -1, 494983103, 298252493, -1, 623662189, 391477882, 769616209, 395845825, 932371877, -1, -1, 724784442, 530213278, 192758094, 786101919, 40279106, 16763764, 690058997, 656558566, 297471644, 965453244, 413974349, -1, -1, 667784804, 868438975, 386821574, 547182278, 128898071, 939390155, 179384072, 848372363, 973524380, 362631974, 139853305, 531394657, -1, -1, 194639704, 796756860, -1, 338914451, 38537701, 503759184, 134968206, 193800925, -1, -1, 541115377, -1, 261999960, -1, 788064218, 118195360, 593400587, 21142797, 344436004, 269323401, 915738658, -1, 963868904, 540498873, -1, 221991790, -1, 829261353, -1, -1, -1, -1, 937720064, 387539118, 445661573, 203919449, 21289882, -1, -1, 794881844, -1, 35302795, 335335544, 10766173, 254300642, -1, -1, 383819360, -1, 730419928, 808650284, 651460528, 17323314, 964568067, 676361505, 985178160, 166140176, 364567879, 728021466, 404902837, -1, -1, 843960879, 14724299, 185696354, 819463868, -1, -1, 639262111, 75846176, 115082903, 886905489, -1, 564684765, 90482029, -1, 282264314, -1, 258812593, -1, 520859393, 366429542, -1, -1, -1, 735838058, 100871250, -1, 597496059, -1, 258804218, 688396306, 572414287, 48382151, -1, -1, -1, -1, 330491205, -1, 542300278, 966117020, -1, -1, 61186715, -1, 141191235, 780583946, 641875830, -1, 791018611, 197041602, -1, 228059885, 740231053, 18915776, -1, 123289307, 282832794, -1, -1, 615282343, -1, 207705886, -1, 400669726, -1, -1, -1, -1, -1, 984880033, -1, 491548854, 41199892, 231517378, 858368976, 641294510, 328990689, 964183101, 613403673, 494298467, -1, -1, 578908282, 504927836, 857962973, -1, 230820842, 950411001, -1, -1, 244941847, -1, 118117737, -1, -1, 765752878, -1, -1, -1, 218067596, 322290425, -1, 622508589, 760835998, 758607960, 137738647, 633437622, 735367328, -1, -1, 994844654, 588095542, 847164111, -1, 585979263, 225111005, 753738955, -1, 420719194, 203859193, -1, 753778482, 675717033, 21979966, -1, 876397057, 420475854, 507407601, 254848082, -1, 914286027, 122877779, 498951927, 521035338, 977369306, 36287999, -1, 425644239, 99713991, -1, -1, -1, 724575246, 740576417, 10309127, -1, 351136806, 560609372, 822617789, -1, 447416481, -1, 80483390, 792548716, 562851208, 565651410, 686543144, -1, 631978885, 691931754, -1, -1, -1, -1, 845329256, -1, 132481783, 214440469, 106727141, -1, 841386671, 989847382, 438240265, 151075366, 776283234, -1, -1, -1, -1, -1, 887310490, -1, 375957850, 794653413, 765266378, -1, 426353824, 141131685, 670613705, 771663241, 570116937, -1, 111070009, 486846319, -1, -1, 949070295, 954114277, 228590259, 109895439, 639852753, 226449456, -1, -1, 255159920, 952766493, 129779995, 778427084, -1, -1, 294836550, -1, 960027123, 968957470, 813041535, 344104214, -1, 976493437, 780943216, -1, 982244480, 478157969, 391280296, 228895336, 310043450, -1, -1, -1, 316468153, 248474770, -1, -1, 323535607, 111017962, 493535653, 61074537, -1, 906634074, -1, 187432815, -1, -1, -1, 518168387, -1, 224083477, 657518275, 385128319, 820520963, 750186532, 981415586, -1, -1, 176112782, 811882953, -1, 686289633, 189105954, 681002562, 664540050, 396162866, 557009760, 901919281, 625319410, -1, 163973325, 526495420, 564055948, -1, -1, 593051810, 936450987, 3464959, -1, 765908369, 628287825, 451626025, 340026668, -1, -1, 492237107, 633231221, 394130034, 869798510, 946347748, -1, -1, 444120734, 58872989, 862081469, 365675512, 618583993, 406128237, 598412211, 88201499, 73423883, -1, 695447690, -1, 110420978, -1, 70950057, -1, 782311155, -1, 346164754, 213272111, 217004747, 507362502, -1, 822875028, -1, -1, 216343817, -1, -1, 120564244, -1, -1, 373546096, 632246040, 245383968, 369922881, -1, 549392871, -1, 70426066, -1, 157773966, -1, -1, 444898874, 676490723, 706923389, 24505250, -1, 796895946, 284697862, 855487015, 947801297, 330846511, 988130561, 554466081, -1, -1, 892249757, 647182424, 314779380, 482493663, 850654719, -1, -1, -1, 639307857, 677291578, 203277301, -1, 83688721, -1, -1, -1, 985508477, -1, 610817198, 384511745, -1, 83038596, 874771613, 374423097, 9754025, -1, 983810393, 209100871, 68287601, -1, 381648655, -1, 7408188, 997680234, 764204020, 448188349, 987510672, 51125079, -1, 351189572, 993132583, 525720689, 368924242, 404676066, 859898619, 295617265, -1, 472575856, 155052874, 712900738, 873368518, 318639667, 551726027, 606024380, 316799893, -1, 621459271, 896592271, 699773408, 244775117, -1, -1, 667873866, -1, 256073504, 926450794, 494612181, 487995904, 79140393, 903152193, -1, 894572983, -1, 709728635, 815938895, 594428396, 179315229, 76725249, 482625333, 258137209, -1, 864491931, 997215104, 899339881, 869785796, 682644576, 932899618, -1, 662394684, -1, 898193142, 248425374, 769970121, -1, 771846999, 365348733, 613246425, 735374799, 795660267, -1, 661754551, 742176783, -1, 585356372, 978819622, 81309286, 450121479, -1, -1, 561188315, 303634930, -1, 162461626, 957682973, 149636989, 652477663, 47567838, 371440323, 827096421, 294021794, 141261451, -1, 181417953, -1, 281902913, 618727963, 657947654, -1, -1, 303995079, 268601782, 737772474, 163944018, 201364113, 162212783, 736013583, 91442947, 490121390, 588987599, 747178505, 252668518, 972390503, 408881087, -1, 708012672, 101851673, 970548277, 148673461, 719361156, 766986309, 634016239, -1, 347130142, 958169832, -1, 270221568, 689529858, 947562262, 42940482, -1, 635971719, 867768052, -1, 316496543, 500987453, 946108848, -1, 670991199, -1, 301120337, 286128081, -1, 82026070, -1, -1, 805992865, 394968184, 181868527, 27382073, 756148263, 810102402, 73253021, -1, 508753701, 348236532, 365092959, 967294498, -1, -1, 118069550, 85249543, -1, -1, -1, -1, 714182267, 24439795, -1, 766017207, -1, 535969952, -1, 302391737, -1, 70817872, -1, 998784058, 449976013, 645340879, -1, 814990448, -1, 48568094, 544104446, 765747942, 927679074, 680762642, 884685250, -1, -1, 897489614, 396404126, -1, 65662685, 966330330, -1, 179419635, 104262080, 730112542, 300145992, 814393211, -1, -1, 262130719, 983737636, 594523941, 416732077, 563719882, 955512365, 431335619, 907216290, -1, -1, 770531952, 797359529, 517916839, 383482661, -1, -1, -1, 485379585, 746877779, 386988385, 55654058, 224815114, 386291184, 691230610, 710967056, 686477515, -1, 593958526, 645950238, -1, 220467912, 777679519, 815928527, -1, 385088978, 685319217, 438659452, 948297472, 609452879, 684033469, 52233313, -1, 347220326, -1, -1, 8756256, 792161468, 441413635, -1, 731170233, 657804855, 114621573, 22177124, 772637644, 509128520, 894106189, 945588070, 694630868, -1, -1, 44875670, 392902173, 628533305, -1, 429086937, 906703348, 684989668, -1, 938488234, 280055395, -1, 611787022, 946529584, -1, 265327648, -1, 553082146, 192630301, 950501571, 260610706, 865281177, 551640051, 558260645, -1, 983356381, 543631758, 882005584, 75483341, 670672684, 587914048, 725467613, 635279497, 800022703, 601030914, -1, -1, 384087872, 84259446, -1, 412843907, 597274869, 812591227, 474106615, 734128469, 110014106, 580657634, -1, 250796804, 228387275, 218739237, 677049190, -1, -1, 971309170, -1, 941658184, 874745843, 948442338, -1, -1, 643196769, 825767997, -1, 725063439, 833943645, -1, 594099390, 944933599, 277128135, -1, 312748847, -1, 850695019, 308487918, 529054533, 815650696, 274034982, -1, 69794745, 597218630, 943974096, 654575023, -1, 930110170, 899070320, 882272410, 546484602, 74719915, -1, 860173939, 371055120, 284886922, 949181932, 726155452, 391362229, -1, 194204804, 131091817, 232596729, 819476036, 555681406, 551810383, -1, -1, 429011467, 805248783, 790525929, 672438850, 868553925, -1, 553939512, 884963592, 696772671, -1, 377601965, 466615910, -1, -1, 975812533, 269673460, 751948952, -1, 44678453, 749271389, 583978859, -1, 469750885, 68154216, -1, -1, -1, 367164004, -1, -1, 522419940, -1, 395389006, 562774520, 37234344, -1, 104993730, 62741282, -1, -1, 920995120, 914522746, -1, -1, 169774345, 129263813, 232324645, 823203606, 799012938, 238802268, 421934978, 241971969, 12926593, -1, -1, 827194238, 335165019, 199510527, 161319024, -1, 886166796, 285600253, 724016705, 540771995, 621517394, 659453130, 125788515, -1, 657605054, 270614322, 436145848, 231293496, 858600268, 909418699, 969555572, -1, -1, 369871793, 187648919, 557818308, 781396815, -1, 715433272, 102758406, -1, -1, 649028700, 328950029, 493357744, 945195029, -1, 121168895, -1, 951479532, -1, 437382512, 347634772, -1, 604905966, -1, 33015662, 494666647, 171801631, 291319813, 277240768, 273568876, 8301727, 882986561, -1, -1, 995747947, 974092096, 308457870, 658505012, 940890575, -1, 203471942, 273191681, 356909953, -1, 981052559, 980773618, 936461367, 544094848, 483289811, -1, 427159801, -1, 818611420, -1, 406839944, -1, 59372303, 364555377, -1, 777859298, 152144194, 416242782, 113998533, -1, -1, 682202331, 456996154, 497624903, -1, -1, 652793407, 844000669, 647558594, 841505176, 258978163, -1, 497583221, 265965084, 497202126, -1, -1, 722151184, 244807564, 402463733, -1, -1, 447990054, -1, 92600948, 469042832, 986186881, 239982964, 453351103, 400476304, 182943499, 106892509, -1, 476310525, 163007785, 667268360, -1, 90011868, 59836994, 165188810, 190960345, -1, 818944389, -1, -1, 789227055, 943037169, 653893687, -1, 335131510, 419360404, 161898984, 980595239, -1, -1, 308201936, 914848664, -1, 940530909, 270853386, 235662539, 260866264, -1, 560019089, 422173707, 194570228, 532206012, 586377758, 601472104, 975587602, 500899896, 387701134, 403068673, 48504894, 432844792, 331695910, -1, -1, 531812990, -1, 589664715, -1, 801240353, 557881398, 981942110, 262068390, -1, 30594287, -1, 92951962, 504755277, -1, 108794670, 623515008, -1, 697353210, 512446426, 828941563, 447032809, 519867339, 880281036, -1, 936910491, 743698132, -1, -1, 582888188, 148044776, -1, 318231033, -1, 331966124, -1, -1, 387396690, 691480586, -1, 243079404, 383020505, 132925465, 649074000, -1, 802112197, 153926784, 905053122, 520609638, 858533158, 553383476, 228924397, -1, 264918406, 103429019, 450806724, 223736139, 580049381, 131798622, 975873891, 161954161, 846969700, 604881366, -1, -1, 882463670, 959264287, -1, 559952295, 287344588, 145156250, 258658844, -1, 433845534, -1, -1, 78666622, 641571179, 702859236, 115302725, 862026388, 177648631, -1, 799817385, 22911741, 940477828, 904750381, 747298983, 896354617, -1, 930431101, -1, 759663688, -1, -1, 801608300, 258325560, 677720825, 615938387, -1, 987540745, 467500726, -1, -1, 642166748, 647035864, 23705838, -1, 354905744, -1, 115432580, 179363164, 8607376, -1, 217281596, 509810456, -1, 716615171, 196678402, -1, 43270155, -1, 181292700, 306866060, 23117133, 761036267, 885606707, 137881604, 438247938, 326865748, 715685901, 795004931, 712105964, 787129701, 486052247, 115091248, -1, 812753962, 401155224, 631068088, 284811563, -1, 732628480, 126442963, 244650877, -1, -1, -1, -1, -1, 915474100, 714017866, 153689416, 375109503, 104512139, 525514392, 622705843, 926880470, -1, -1, -1, -1, -1, 747002991, 543651658, 147639628, 165273933, 82885192, 216524302, 637684729, 49600750, -1, 864991593, 284734833, 596183909, -1, 988909972, 194194071, -1, 204776585, -1, 250167178, 140707773, 167227738, 635505284, 814074315, -1, 850454572, 923319821, 934829353, -1, 636586683, 612043800, 227084824, 988092267, -1, 235512799, 397489208, 723613071, 959155678, -1, 481857798, 273040128, 696197300, -1, 753555611, 294078872, 305010660, 631520054, 993313048, 604136123, -1, 720470841, 987175897, 670610742, -1, 289657656, -1, 720240632, 112295014, -1, -1, 344767913, -1, 217571776, 448580968, 797065422, 770324041, 53591528, -1, 612753086, 807859707, -1, -1, 380892740, -1, -1, -1, -1, 499398974, 711972355, 859293188, 746300281, 284275946, 306370550, 562210271, 558603468, 887274944, 915246048, 77401957, 120028385, 879104503, 729208820, 847120574, 377386689, 563102564, 864333552, -1, 81525421, 293481798, 525258507, 934907059, 290975667, 140650330, -1, 898759930, 39803775, -1, 245643985, 88029478, 356955261, 28112471, -1, 656221919, 133200959, -1, 632028027, -1, 467524441, 427411418, 191854567, -1, 272274859, 841053180, 472252404, 481143696, -1, 728003465, -1, 203435549, -1, 327637156, -1, 375981747, 591077796, 471666068, 774704867, 588925589, -1, 769830894, -1, 394469267, 589876494, -1, -1, 823972866, -1, 37414583, -1, 196683656, 676561030, -1, 879652702, 713837391, -1, 459012570, -1, 461808719, 617846183, 305546944, 975907973, 146412635, 796296645, 34563270, -1, 846634627, 780100504, -1, 523575041, 612696520, 819090934, 827775010, 959094190, 909088416, 589079868, -1, 485161473, 496492767, 305761286, -1, 235843175, 699146065, -1, 243159381, -1, 200610597, 102521567, -1, 575750760, 119251703, 7844109, 781181917, 751509370, 175542029, -1, 355451427, -1, 966348199, -1, 150602789, 685757237, 862125028, 352901353, -1, 997598820, -1, -1, -1, 278006700, 456990495, 190103875, 832656452, -1, -1, 567578983, 566696584, 240577290, 263478312, 218355122, 188818162, 674397709, 734808007, 866948114, 888251467, 699174785, 200276629, 173429946, 606548688, 980281662, 906292236, 904298284, -1, -1, 928675928, 600062213, 765761549, 603618479, -1, 331546032, -1, 570347929, 736942009, 421858083, 437697058, 726550975, 321957351, 712206073, 680296877, 467121734, 215778915, 557499438, 551927300, -1, 123608667, 91362531, 852016226, 498984309, -1, 804435784, 542806690, 953416343, 15211029, 912300648, 171204077, 412327517, -1, -1, 552148556, -1, -1, 514574302, 169374918, 251791703, 875024565, 861385614, 985415391, -1, 351388918, -1, 570793992, 479934991, 425161508, -1, 695123593, 935178640, -1, 776765245, 659233948, 188612306, 98520512, 607092182, 622197737, 148368474, 137667883, -1, -1, 843475412, -1, 218393382, -1, -1, 291079276, 865107650, -1, -1, 827312837, 206632189, 990832702, 9923085, 88792721, 375947539, -1, -1, 319067649, 55781023, 650144651, 382664792, 562408511, -1, 287463494, -1, 79944344, 68466410, 374115495, 888205773, 781120947, 258200231, -1, -1, 148110696, -1, 978795716, -1, -1, 889989108, 907030944, -1, -1, 241750428, 96584471, 309959442, -1, 480749778, 508138132, 606926050, 133942187, 500623443, -1, -1, 905900466, -1, 63114280, 521111213, 560943951, 39518354, 555938744, 989046597, -1, 156432929, -1, 404537486, -1, -1, 70430280, 820753900, -1, 259208631, 890565662, 624516180, 787190953, -1, 444225797, 880729729, 13029858, 915099177, 246094454, 923796267, -1, 13556621, -1, 702192080, 595356233, -1, 574059699, 164351245, 654880543, 313232638, 949593549, 673401869, -1, -1, -1, 83205769, 700055148, 154763381, -1, -1, 307788998, 438925860, 900883780, 335478185, 549543947, -1, 625839750, -1, 545998168, 556867943, 543823375, 999157041, -1, 587940552, -1, 137932090, 686920962, 293842412, 72795223, -1, 518688358, 54663629, -1, 286458790, 321990236, 125164848, 384242859, -1, 959516749, -1, 506298092, 28344203, -1, -1, 751262464, -1, 709086398, 430539145, -1, 972628506, 73925800, 272463180, 136558303, 73891666, -1, 54618761, 757245421, 259245950, 272779671, -1, 944742305, 558027819, -1, 70267353, 179307045, 337287591, -1, 474905706, 605476051, 769508513, -1, 232354320, -1, -1, 139478749, 512449536, -1, 861448057, 402381360, 785983576, 502567606, 651110894, -1, 436139393, 810077691, 792643095, 61765448, 170102392, -1, -1, 394306807, 293032227, 617073219, 79676040, -1, 898704419, 223694673, 801147013, 745425701, 956614298, 962106437, -1, 685717524, 90318744, 195069392, 6488102, -1, -1, 381274856, 623540579, -1, 960485609, 574787488, 253903714, -1, 391327429, 778949163, 877031857, 667541239, 921071078, -1, -1, 355976047, 570180104, 991043368, 205030755, -1, -1, 204302791, 659263527, -1, 695231972, 649203523, 150256255, -1, -1, 498146622, 751969622, 882419696, 526681761, 481111866, 240717197, -1, 72289920, 527228620, 992033079, 526056726, 286943335, 801287717, -1, 787646647, -1, 936915084, -1, 15172857, 527117413, 690445617, -1, 926227946, 408233904, 677469843, 525540949, -1, 870779796, -1, 453031910, 218332637, -1, -1, 259283253, 382776781, 8093514, 328518973, 867364245, -1, 599182156, -1, 382220456, 838711997, 182462978, 116804512, 652368957, 311462495, -1, 629509543, -1, -1, 592162598, -1, 616537894, 757087196, -1, 464329438, -1, 268346350, -1, 554141689, 409164892, -1, -1, -1, 638872728, 272611095, -1, -1, 40443096, 88177565, -1, 428774561, 788564483, 542365803, 117234714, 394531338, 298520304, -1, 255884601, -1, -1, 973843581, 292048736, -1, 997135472, -1, -1, 925984495, 647709475, -1, -1, -1, 833924800, 328665974, 782181020, 244124128, 479924850, 399694211, -1, 885939376, 420454492, -1, 97848367, 402181331, 788463062, 434803396, -1, 300559040, 148422682, -1, 607938760, 472531846, 520320904, -1, 783427526, 255737941, -1, 234457873, 809822931, -1, 735226770, 275156485, 664110299, 267395877, 981089513, 573687117, -1, 910931443, -1, 693056771, 463472846, -1, -1, -1, 46274435, 564308281, 758277180, 58392135, -1, 74194419, 922238754, -1, -1, -1, 175025802, 994987195, 367847665, 230350633, 608009493, -1, 419922909, -1, 199080124, -1, 971566870, -1, 126235987, 463934807, 889123871, 462526403, 499478092, -1, -1, 475202898, 502217199, 510394782, 776562475, 374444899, 42680668, 670883392, 290528773, 450288909, 370351647, 751040984, -1, -1, 797475813, 996403893, -1, -1, 255604375, 513839458, 550235614, 506228656, 636021469, -1, 749129763, 520167129, -1, 710233859, 594923679, 67874975, 904737521, 501807064, 954155898, 725959659, -1, 41220954, 202515278, -1, 991870571, 682901020, 273627415, 399590970, 128683135, 182293461, 511729733, 194968464, 156140521, -1, -1, 201806180, -1, 680567923, -1, 973575520, -1, 933873045, 56048372, 487122697, 590432327, 954551228, 714320655, 769571093, 431703856, 488816592, 764416102, -1, 630043703, 876145301, 494938028, 13516961, -1, -1, 944987782, 560395360, -1, 42309940, 3026341, 430356611, -1, -1, 785486920, -1, 418363135, 929418159, 413684281, 637931351, 921183162, -1, 406115155, 982061933, 660364286, 543423606, -1, -1, 44840816, 157965361, 801250380, 151322184, 295549909, 230013069, 323061935, 418427804, 792807097, 118759697, 635692735, -1, 164975188, 314549514, 999719636, -1, 912695429, 331125944, 924544617, -1, 180572944, -1, 641468353, 468148163, -1, 695837822, -1, 864580914, 599714422, -1, -1, 205923429, 690419337, 467203562, 304620603, 570386546, 388431180, 9753249, -1, -1, 285600796, 617873082, -1, -1, 886525205, -1, -1, 237570663, 957702217, -1, 615203494, 523464726, 464516472, 553230607, -1, 473123216, -1, 219565010, 875380440, -1, 122636069, 498966817, -1, 607603230, -1, 167314187, -1, 114489695, 625154837, 983492378, 951185067, 334158165, -1, 404833763, 95694219, -1, 373908906, 194082217, 42964577, -1, 49589056, 758853253, 444751645, -1, 264874113, -1, 178979685, 363508119, 342573777, 963978324, 999247829, 663211768, 769356495, 924458661, 498376108, -1, 639164321, 262316050, 266408795, -1, 379957601, -1, 205713993, 5665103, 438027788, 604898975, 960444688, 859253207, -1, 425486037, 312471645, 948574408, 689667899, -1, 720865234, 195914055, 475061244, -1, -1, -1, 532905090, 323544900, 432120169, -1, 912548828, 631106626, 463097775, 979056937, 146393669, 680933012, 150163401, -1, -1, -1, 935538421, 481601957, 130411644, -1, 747379366, 381267869, 440794765, 284020353, 3375245, 550276229, 265669755, -1, 834762870, 409073495, -1, 791841807, 232541258, 70612856, -1, 492742538, -1, 979794154, 69379738, 946989864, -1, 665114170, 622068460, 64013574, 333978167, -1, 449303074, 262767877, 807379129, 236959072, 985299145, 279315595, -1, -1, 716867051, 820052475, -1, 776767521, 822133015, 898506843, 799509720, 384877760, 374298228, 444141091, -1, 776912275, -1, 187848168, 197548066, 962962752, 523503471, -1, 744214000, 547932895, 184883098, -1, 573461637, 85760832, 821130066, -1, 60956601, 349377502, 259252986, 780431281, 8316317, 880639113, 441081927, 982917044, -1, -1, 191586184, -1, 48747634, 890688603, 212582082, 573679662, 319720662, 555810823, 740072146, 953242368, 856744926, -1, 554622015, 607017015, 534291140, 861223222, 484060453, -1, 401095404, 254527059, 745542053, 440940626, 593338094, 462199296, 565966298, 298938268, 9385551, 785426320, -1, 612914989, 971337947, -1, 566226798, 297703299, -1, -1, 183769290, 734900724, 137442093, -1, 790675840, 713664140, -1, -1, 59617448, 538348453, 379945345, 615231072, -1, 850803837, 535013404, -1, -1, 661240529, 424730460, 477524431, 83557910, -1, 862761316, -1, 41897112, 62466087, 521325581, 955990468, 38281462, 540870142, -1, 937548364, 890654598, 885030841, 893948903, 718245698, -1, -1, 167374718, 932514807, -1, -1, 245600649, -1, -1, 215215273, 607572226, 314753527, 180637210, 579008599, 380753270, -1, 747427858, -1, 622391120, 935494638, 359251140, 688235663, 986571505, 831319292, 726210799, -1, 502094887, 66161829, 139399548, -1, 722096138, -1, 98367953, -1, 495120986, -1, 895368711, 827271652, 120581835, 302665191, -1, 124466025, 803028870, 768100569, 560866748, 886109982, -1, 665685753, 152115854, 503547499, 185316551, 200588037, 983534099, -1, 808641788, 313068197, 555087408, 731527464, 162125784, 489376710, 207895796, 806550885, 840913288, 101865198, -1, 640371086, 866273584, -1, 262148307, -1, 232619302, 742725871, -1, 888134945, 637450941, 121450798, -1, -1, 129763656, 600536120, 140567267, -1, 370721316, 890817471, 771429524, 690909820, 159774866, 895357229, 64757654, 667764033, -1, 979762865, 794901051, 704039731, 283628897, -1, -1, -1, 442537964, -1, 356186460, -1, 527582218, -1, -1, -1, 329872737, -1, -1, 221223916, 596904086, 1652482, 887202382, 584857001, -1, 906337344, 730350414, 782234506, 820821984, -1, -1, -1, 642330907, -1, 43246070, -1, 392280514, 820499086, 124660329, 212430208, 615451066, 670551627, 333277680, 709747591, -1, 214714441, -1, 163447872, 701205482, -1, 885413481, 373822064, 282517331, 761119233, 175732981, -1, -1, 195808606, 759467152, 941695420, -1, 148659716, 394655464, -1, 421779631, 745490215, 801102659, 76610604, 457503093, -1, -1, 259296232, 5748773, 949971873, 890592783, -1, -1, 785494783, 386697992, 536944154, 817958164, 9800511, 50738097, 164049364, 670762301, 345048463, 408044655, 30087049, 718813951, 683103060, 982080550, -1, -1, 280089806, 235264468, 766307875, 287216881, 650887092, 824035716, 448322706, -1, 279268355, 95342163, 840025098, 594789585, -1, 870098652, 180852724, 747880745, 654300559, -1, 243185584, -1, 728643845, -1, -1, 64720582, 381491611, 610107313, -1, -1, 457245354, -1, -1, -1, -1, 498337397, 486579755, 468527644, -1, 28582277, 20172246, -1, 125536932, -1, 444291936, -1, -1, 784785545, 943445034, 424148456, 494916017, -1, -1, -1, 438544864, 122642139, 917403763, 434690671, 201125763, -1, 344325745, 520881421, 492449282, 867047351, 677993271, 102277540, -1, 948900439, 28616635, -1, 335983254, 927394352, -1, 440237315, -1, 663197692, 706806609, 406807371, 761655054, -1, -1, 574839494, -1, 334809138, -1, 901141339, 717252258, -1, 504114176, -1, 878938628, 477721191, 549113277, 623452655, 167041512, 999874220, 363613326, 787808567, 122200642, 850651990, -1, 85222593, -1, 886640093, -1, 653716834, 416406533, 973030680, 158389358, 833310725, 154655232, 278265199, -1, 508784600, 320107044, 423509696, 458898555, 52418830, 188179956, -1, 586178522, 419699186, -1, -1, 8180139, 93741485, -1, -1, 896614861, 77678740, -1, 728414248, -1, -1, -1, -1, 670148896, 351689971, -1, 56584233, 902803074, 338434994, 210546970, 15041627, 507374556, 718093822, -1, -1, -1, 735201523, 117268240, 272577157, 863195346, 425462535, 9824072, 421727365, 374743260, 258627753, 92651841, -1, 466721561, 987621563, 399344472, 22761549, 586492607, 948500649, -1, 555163671, 456550576, 66204336, 188318851, 373579134, -1, -1, -1, -1, 626568937, 608374787, -1, 678412727, 102424695, 884765850, -1, 529847265, 700512585, 676077926, 786812645, 411136846, 57442331, -1, 820846080, 690441121, 362857594, 549640979, 948807375, 520390277, -1, -1, 924272039, 731770260, -1, 331236634, -1, 989167711, 191255226, 907230490, 287009852, 303722517, 463362183, 851571877, 566013122, 22384208, 410185312, 30115079, 414105010, 496057516, 997080827, -1, 932748325, 881106063, 548986092, 304065841, 939545734, 212781758, 49873770, -1, 473471228, -1, -1, -1, 877529475, 176962209, -1, 988164862, 292165029, 688872513, 6673313, -1, 846341086, -1, 429240054, 727040216, 89743838, 647838575, 367912786, 387609575, 822695179, 996584411, -1, 856000261, -1, -1, 548189658, 174344979, 228391704, 437660341, 663398258, 874964588, -1, 187118626, 228747682, 680795719, 448898126, 683911392, 917797594, 516565294, 350474924, 800424579, 653804175, 96697379, -1, 555988482, 735265924, 705511279, -1, 37965324, 568149391, -1, -1, 267784838, 470568014, 903797482, 752095001, -1, -1, 409610375, 637525514, -1, 593680803, 434139685, -1, -1, 176484576, 3045850, 929130454, 697378615, 153329558, 13517479, -1, -1, -1, -1, -1, 13483208, 45480655, 401865945, 220414913, 974622023, 728965115, -1, 915196669, -1, -1, 591749386, 906900431, -1, 52738949, 98595377, -1, 892043202, -1, -1, 690175681, -1, -1, 118428464, -1, -1, 359529094, 531091986, 335334796, -1, 237118106, 101252549, 513560283, 836491342, 993665310, 504418798, 279771208, 545536335, -1, 844658128, 47594639, 286859706, 90662751, -1, 964579132, 407266788, 122064353, -1, 878048699, 160488806, 787196898, 281595894, 953833408, 456405991, -1, -1, 781681779, 281102291, -1, -1, 512373734, 826344922, 374850609, -1, 494443850, 715714038, 948068100, 235766028, -1, 708236085, -1, 126182442, 325990491, 550864473, 652160962, 824052236, 572605273, 796146149, 410643663, 731861776, 649534584, 405243855, -1, 998494264, 708846857, 452293089, 398715326, -1, 607083324, 450151623, -1, 921420152, 307618206, -1, -1, 247619836, 125309425, 627521873, 268329833, 834915945, 992784727, 251363024, 785474345, 413158247, 147503378, 823214624, 564001926, 130979384, 976341757, 472065065, 616561921, 781062652, 269512575, 912450842, 676483129, 274391970, 756618332, 582741300, 777727293, 191689361, -1, 467956468, -1, -1, 119245096, 66607434, 618026945, 393062350, 465266026, -1, 703810878, 553359290, 810752255, 19992199, -1, 742298406, -1, 692944751, 943188488, -1, -1, 25890744, 485642230, 403342694, 24970266, -1, -1, 464940080, -1, 464706414, -1, -1, 128160911, 819315652, -1, 968705708, 308682043, 48638009, -1, -1, 239288331, 8788730, 156228655, 278799262, 572571083, -1, 669701190, 746536354, -1, -1, 833382156, 489062078, 689070039, 369928947, 162174187, 790301487, -1, -1, 71700791, 405391220, 594546813, -1, -1, -1, 155223712, 517281159, -1, 797072805, -1, 456855294, 672493534, 332303739, 209400458, 774863488, -1, 679604391, 402858522, 413290209, -1, -1, 208379255, 143449393, 193173720, -1, 866307319, 724293637, -1, 349811694, 51384538, 532457160, 986785274, 871897714, -1, -1, -1, -1, 834496991, -1, 610681640, 352590235, 92234569, 654312001, 43085127, -1, 428524254, 209689558, 742266047, 167454156, 640742465, 791149732, -1, 931542936, 232210420, -1, 887146209, 189045221, -1, 767652074, -1, 664608748, 97486494, 552770360, 679026270, 66359425, 425234538, 384221402, 668998025, 819054343, 552747936, 561991464, -1, -1, 896790309, -1, -1, 764425331, 17984404, 293036102, 620619939, -1, 245050686, 205323685, 307239088, 872374283, 134206225, 95523999, 599814991, 907166350, 37453777, -1, -1, -1, 438704580, 313203241, 906156644, -1, 331684790, -1, 87955728, 860238984, 780757434, -1, -1, 367660312, 375606997, 841744011, 642723208, -1, 730107472, -1, 184657132, 954789489, -1, 204934465, 864023563, 146488897, -1, 680704400, 573694495, 612641681, -1, -1, -1, 466198678, -1, 972919912, 209800123, 359744758, 330736301, 508845653, 658452141, 307149911, -1, 147592171, 774019333, -1, -1, 73391026, 362207887, -1, 71715065, 423494784, -1, 432011975, 246554629, -1, 454019789, 170966047, -1, 491013611, 776500058, 455002497, 515234739, 666076709, 541527740, 250035513, 471637541, -1, 295067829, 987215759, 601600297, 346770683, 104335493, -1, -1, 732253306, 168308930, 887464737, 439294466, 955480659, 997021246, 16531311, 15628782, 211466444, -1, 22027973, 328444037, 689895355, 12332570, 349896686, -1, 99000862, 970434022, -1, 640906382, -1, -1, -1, 245895542, -1, 717759701, 827231355, -1, -1, -1, -1, 79857172, 157071396, 680204656, 775729980, 188741879, 276625881, 607890858, 464131490, -1, -1, 737319057, -1, 524502270, 750116576, -1, 257318414, -1, 562411410, 419299861, -1, 509393919, 162838796, -1, 31158726, -1, -1, 862840583, 641166888, -1, 690087388, 825379856, 870924737, 531921603, 664950629, 949229668, -1, 395720188, 720768930, -1, 760918955, -1, 576116452, 69336165, -1, 839040343, -1, -1, -1, 85879857, -1, 982243642, 883159049, 658080024, 80956544, -1, 450425460, -1, -1, 708214856, -1, 97923090, 521465179, -1, -1, -1, 239857205, 816741900, 170363288, 538936790, 614803474, 993702669, 340665827, 211535784, 595417890, -1, -1, 853569199, 27633700, 592981188, -1, 871187805, 641537931, 808449535, 914244828, 280690440, -1, 325429065, 885068718, 687359255, -1, -1, -1, -1, 440027765, -1, 954736931, -1, 605463582, 72535639, 451715562, 267300081, -1, 899926456, 522337337, 931105534, 408422070, 288121702, 635602644, 386723548, 787804132, 675718200, -1, 312747260, 489872863, 19329725, 269781774, 138554011, 162555592, -1, -1, 52583370, 765993958, 374283337, 26067800, 87775109, 211614798, -1, -1, 7877208, 771260046, -1, 218331656, 458310306, 335677337, 440949531, 270925257, 269123870, -1, -1, 1451025, 444322945, 788401671, 665055816, -1, -1, -1, -1, -1, 787734628, -1, -1, 560078384, 422377275, 700676847, 866078461, 293327931, 30714972, -1, 399863202, -1, 197345295, 962221122, 649171918, 833502930, 904934429, -1, 852169045, 986740668, 929330317, 560254742, 836091036, 451251833, 678082271, -1, 590201742, 352951223, 631663235, 633324963, 984729718, -1, 576585046, -1, 704675608, 752187811, 401662503, -1, 746739963, 634753893, -1, 429007098, 689035707, 218839554, -1, 757449279, 356325395, -1, 750836348, 83071644, 779937830, 718590934, -1, 384738427, -1, 717861956, -1, 59154683, 913342439, 659172171, -1, 181333436, -1, -1, 865922102, 827279124, -1, 474646138, 781532796, -1, 330738309, -1, 529463130, 149890542, 106754927, -1, 237403593, -1, -1, 494741957, -1, 347422359, 124747090, 957075670, 935036234, -1, 445847524, 646631099, -1, 933320945, 919219447, 314796316, -1, -1, 296595597, 338056620, 773515332, 138429177, 719315430, 482624596, 744313962, 523424315, 538913080, 473391684, 968540378, 571345367, 672297099, 107297851, 458121540, -1, 181576769, -1, 510066033, 333433309, 794911264, 67450319, 70119186, -1, -1, -1, 681816831, 202397652, 918413102, 166144641, 127096545, 160095972, 415381198, -1, 555683269, 911875885, 571371590, 12292786, 808454941, -1, -1, 900649581, -1, 814546433, 423040122, 933008630, 941806647, -1, 161346864, 453674242, -1, 783184487, 487925342, -1, -1, -1, 171950960, 316959102, 31120473, 65352673, 379693602, 956809993, -1, -1, 377838258, -1, 562639780, 882985684, -1, -1, 145540147, -1, -1, 917972452, 792221576, 751906565, 304691236, 799653564, 317774641, 705958760, 888114348, 766946084, -1, 556508634, 294038053, 629975645, 87309974, 647501178, 843092312, -1, 43863648, 532972183, 46455015, 478931211, 473503352, 780705437, 629147618, 920577719, -1, 187744495, 502895071, 902739658, 717966539, -1, -1, -1, -1, 871459278, 207323112, 180962979, 673935162, -1, -1, -1, 170989774, 852574141, 334219926, 6459636, 668882382, 95930918, 209067663, -1, 175420310, -1, 854712868, 397917505, -1, 296579142, 509747324, 749609871, 707085649, 307396254, 97960946, -1, 961439727, 919382829, 290113987, 16462030, 343470469, -1, 771108225, 842242666, 461911134, 442333145, -1, 390851031, 898001052, -1, 561837170, 278897237, -1, 640352766, 312284284, 652579449, 299784995, 424167017, 849811137, -1, 990468109, 608391832, 425370258, 323287157, 671976578, -1, 30358031, -1, 591278745, 80771312, -1, 959113011, 322733563, -1, -1, -1, 89737611, 145973213, -1, 993670634, -1, 251524111, 806339759, 649718719, 160684194, -1, 620188304, 570882133, 565604453, -1, -1, -1, 523846113, 38028945, 845800054, -1, 182412730, 566124444, -1, -1, 840399473, -1, 979582225, 98491971, 632172955, 11317941, -1, 574578392, 103665080, -1, -1, -1, -1, 496635382, 978518572, 760470711, -1, 218038680, 117591258, -1, 107009575, 215064367, -1, 284341254, -1, 324144936, 76356667, 170587235, -1, 837775800, 234032911, 197165049, 815796560, -1, 580585283, 163550167, 193206017, 862505168, 584184870, 426152095, 504203352, 129076070, 445191362, -1, 578153911, 829708366, 627125576, -1, 306874959, 130809769, -1, -1, -1, 462082004, 748509104, 8334000, 515685933, -1, 222863645, -1, 65438823, 269486321, 112771171, 938000862, 312853036, 919770447, 359572649, -1, 63639439, -1, 920597078, 420990462, -1, 823659989, -1, -1, -1, 237317615, 272719826, 913717672, 537806309, 368518715, 431399444, 558600604, 165112640, -1, 28196295, -1, 777562358, -1, 140161038, -1, -1, 706669790, 288007286, 622914667, 208904928, 542061953, 720437916, 54129039, 84400590, -1, 389684181, -1, 643458038, 67328171, 23641986, 111372902, 423716001, 292240475, -1, 335906625, 933880045, 333386090, -1, -1, 441897308, 844092941, 40846350, -1, 543703054, -1, -1, -1, 569737085, -1, 878083239, 325475212, 137681214, -1, 296033695, 132703853, 793932944, 629501172, 40934937, -1, 923975625, -1, -1, 912303204, 284186260, -1, 265381978, -1, -1, -1, 40197851, 579670616, -1, -1, 380373694, 924503298, -1, 670387597, 578755518, 878527619, -1, -1, -1, 948819569, -1, 340383231, -1, 514682240, 813567742, 626453201, 161110544, 681137545, -1, 698826658, -1, 866453513, 430602336, 274927230, 792384183, 466090291, 542242841, 73327312, -1, -1, 982502368, -1, 827276799, -1, 66318197, 933145438, 150983371, -1, 779680488, 111723587, -1, 221970214, -1, 446843575, 133447610, 213693331, 324140300, -1, 100696202, 886375075, 845987389, 784120641, -1, 678117232, -1, 411892507, 901447063, 230828455, -1, -1, 464740688, 767378198, 802903507, 456045291, 413100800, 768191819, 892078076, 230756928, 201361245, -1, 890330965, 549493834, 479577222, -1, -1, 647807934, -1, -1, -1, 615339538, -1, -1, 598577278, 395541772, 843309777, -1, 994392699, 116388702, -1, 354637678, -1, 548610221, -1, 62304883, 622771195, 405939586, -1, 150328980, 424608933, 322315008, 936748636, 592361618, -1, -1, 22933916, -1, -1, -1, 43697924, -1, 453776259, 93076898, 663032999, 177223302, 894877527, -1, -1, 146383920, 416550386, -1, -1, -1, 132539216, 990689563, 946694072, -1, -1, 437193362, 72374686, -1, -1, 923251451, 22659898, 193726995, 555710734, 390268073, -1, 102745012, 302853178, -1, 164451589, 731697995, 589878028, 4996356, -1, -1, 434255361, 659215071, -1, 439174622, 296168410, -1, 608820199, 884497443, 548076848, 817038643, 503595039, 539758854, -1, 692238282, 536469870, -1, -1, 867325230, 21507645, 201664230, -1, 72064806, 139778432, 37300996, 391922225, -1, 532021756, 152676873, 196735550, -1, -1, 764238411, 17552008, 67705719, 399372956, -1, -1, 546766223, 257881703, 358409241, 729478921, 258825633, -1, 560105162, 71558607, -1, 625648292, 115657998, 974890249, 495121298, -1, 333580177, 49173138, 494109205, -1, 940014146, 223708162, 159211167, 672367820, -1, -1, 184526147, 852655768, 929268148, -1, 878201366, -1, 39590425, 694614402, 508110888, 829221415, 47354532, -1, -1, 599355622, -1, -1, -1, 758737550, 290167557, 134368878, 599039011, 554765282, 932528987, -1, 490966351, -1, -1, 534362912, 197366521, -1, -1, -1, 328702822, 352185607, -1, -1, -1, 556630781, 535518, 268109277, -1, 501353565, 569447944, 330735473, 551882798, 575069292, -1, -1, -1, -1, 776644976, 29415532, 812467163, -1, -1, 206375024, 364634950, 536330008, -1, -1, 65496295, 515416143, 164004425, 824353533, 763001393, 866891089, 295714817, -1, -1, 838721940, -1, -1, 397036906, 115967379, 403216512, 825565740, -1, 832099115, 940183379, 623468989, 276858456, 800822403, -1, 746399359, 224159468, 731743001, 144072425, 989123459, 364638521, 934162930, 707874291, -1, 147320783, 795205576, 40028537, 3908903, 122664582, 499435173, -1, 557972311, 966256275, 71973646, 917773501, 75714466, 519383114, -1, -1, 325943005, 848125087, 998125352, 703310761, 744807993, 922977243, 466625653, 565085963, 526240002, 428858347, 407045041, -1, 474058167, -1, 878376192, -1, -1, 314442835, 149788706, 437462840, 973665875, 667373219, 640529956, -1, 568861432, -1, 693489153, 263458815, 792415304, -1, 708229082, 482089365, 728649816, -1, 963694798, 851768505, 884280874, -1, 298613524, 205225170, 138479940, 988071065, 838851816, -1, 509046836, 511379086, -1, 52505366, 729128084, 67284468, -1, 784163824, -1, -1, -1, 552267048, 902224235, 667831850, 663288730, 947363861, 579012064, 692130532, -1, 113524919, 279204496, 211468333, -1, -1, 495815613, -1, -1, 120717161, -1, 19041240, -1, 275871303, 419158047, -1, 151622407, -1, 462836008, 8496013, 615355420, 976047812, -1, 686834736, -1, 376485085, -1, -1, -1, -1, 508577046, 473335647, 518746289, 953390205, 707923278, -1, 380879151, 279933103, 268692448, 801019576, 895834801, -1, -1, 876213894, -1, 392925542, 705459914, -1, 414724786, -1, 124653841, 790408175, -1, 653231904, 247320742, 9825038, 105425411, 957715682, 864527915, -1, 784441819, 976396782, 373602664, 384691498, -1, -1, 427696792, -1, -1, 932929002, 689424669, 301161678, 438239336, 793253567, -1, 332943135, 808813036, -1, -1, 502121080, 650972908, 37253017, 819277395, 305663653, 460213416, -1, -1, 622765303, -1, 563015676, -1, -1, 431279533, 858169768, 795440998, 572618638, 605584959, -1, 985913627, 534718561, 298640449, 44160625, -1, -1, 819090566, 646035514, -1, 386503116, 177613143, 732335672, 833347653, 761881692, -1, 856378358, 461748154, 233780993, 721827229, 975086700, -1, 414300349, 537032252, 567246595, -1, -1, 388208153, -1, -1, 148425238, -1, 424244568, 357219944, 261081766, 73661206, 876146614, -1, 836440390, 479298990, 948290559, 152533369, 653633362, 730213755, 196356914, 922134843, 709552969, 953205750, 990389069, 912708571, 30264778, 523617192, -1, 379500680, -1, 709235280, 769871265, 47936399, -1, 658682913, 105301174, -1, -1, 712164620, 65958360, -1, -1, -1, 592472088, 903544610, 858140589, -1, 397260644, -1, 205587344, 844643606, 80970413, 90099745, 976760408, -1, 531732783, 846514869, 642639135, 983984064, -1, 439305315, -1, 114339426, 561784971, 281715724, -1, 563510965, 65031176, 846222093, 740437606, 110377069, -1, 186416452, 790164382, -1, 548624390, 139977295, 123538303, 185461428, 964831822, 845315171, 327894267, 409789292, 157546760, 942715295, 638789635, 362421231, 922161452, 477283221, -1, 649666720, 141015174, 825669131, 476606385, 279233823, 266768362, -1, 669450257, 58262791, 151676731, 417752378, -1, -1, 284122401, 921562166, 878694948, 655240255, 21990105, -1, 512056757, 995995387, -1, 618375937, 545872583, 423563571, 964636109, 120392252, -1, -1, -1, -1, -1, 343340412, 727633428, 250591083, -1, 222058328, -1, 623087139, 910614476, -1, 832801778, 488271078, 26725713, 91668640, 248527479, -1, 572397449, 289703495, -1, 28409264, 606044, -1, 950782509, 148280522, -1, -1, 623311684, 191415051, 109809526, -1, -1, 131986131, 588317478, 168939650, -1, 174016176, 848554540, 315443697, 374103335, 687133566, 462174786, 132120708, -1, 344279128, -1, 792451342, 850486562, 266460743, 183087113, 442689140, 487725466, -1, 891384403, 841111778, -1, 407208247, 583717440, 504874076, 640101512, 910441938, -1, -1, -1, 23708593, -1, 773009715, 61716703, 534161255, 493722073, 546778833, -1, 950605493, -1, 743762886, 282843632, -1, 159090989, -1, 218789068, 277123687, 526677292, 699350192, 197867151, 358899473, -1, 933592212, -1, 581451722, 421441058, -1, 533213961, 68298096, 171996014, -1, -1, 688124499, 896582579, 497028329, -1, -1, 26153994, 340019648, 879719897, 901342542, 21656599, 130165742, -1, 646389361, 499534378, 459396603, -1, -1, 687929814, 393115024, 266211968, 85096780, 252411424, 370734705, 224134417, -1, 573239025, 55605935, 154831524, 187362199, 266992358, 972718299, -1, 974368856, -1, -1, 605454356, 52895894, 608126807, 215252022, 798235173, -1, 497997795, 159803416, 240690088, 275678972, 902432150, 507591381, -1, 153517708, 530759723, 148788484, -1, 514201368, 731123903, -1, -1, 706156094, 485663108, 695269758, 9437243, 470394173, 909036250, 206952231, 278267417, 454099894, 250741327, -1, 132909547, -1, 327326590, 430123565, 402593572, 761812826, -1, 890273202, 507394347, 597375665, 612735814, -1, 24844883, -1, 82220750, 62360245, -1, 204539502, 373369246, -1, 71296786, -1, -1, -1, -1, -1, -1, 27551561, -1, 775704631, 108448376, 323710612, 616161058, -1, -1, -1, 888274545, 463382546, -1, 143083659, -1, -1, 900448049, -1, 588988555, 406558628, 254697826, 3966067, -1, 37524575, -1, 86366623, 488152590, 291362583, -1, -1, 791027696, -1, 702026752, 74384404, -1, 803639490, -1, 829242845, 463882377, -1, 192568699, 548996862, 758358265, 456223001, -1, 850061645, 208774516, 71896213, 506965346, -1, -1, -1, 823833084, 205657748, 542692434, 293347815, -1, 154048506, -1, 124276855, 561437209, -1, 343308622, 114578202, 909006072, 832991978, -1, 514717890, 678689314, -1, 265559138, 83041616, 577639983, -1, 474272493, 514883734, -1, 590952514, -1, 537857624, 612910843, 471124090, 346021826, 636563809, -1, -1, -1, 173323381, -1, 586831207, 960644247, 662359909, 77565315, 477498350, 571139313, 401290495, 118079855, 705468114, 679482240, -1, 917577584, 728151525, 442671483, 10616744, 763434442, -1, -1, 233810114, 807221920, 497588485, 127850822, 839287682, 286271455, 598168072, 973726701, -1, 310443392, 287655414, 50626283, 738115521, 851730399, -1, 784819644, 881960588, -1, -1, -1, -1, -1, 671002218, 846152907, -1, 382813982, -1, 474777670, 105818880, 893088926, 581355690, 550371035, -1, 364480082, 514417047, 47752083, 431441743, 362282338, 654897465, 335313432, 596876847, 245646063, -1, -1, 250521464, 319691333, -1, 991257305, 992761951, 612819405, 367293852, -1, -1, 500393025, -1, -1, 202126276, 940318373, -1, -1, 917830865, 402374365, 11062450, -1, 735973655, -1, 915393608, 110785064, 156134198, -1, 435365066, 33039822, 779653354, 641808649, 993150674, 873354793, 128317368, 49045175, 238715494, -1, 552776417, 974708379, 796083648, 477542881, 410382242, 537631051, 149581605, 376671796, 124939886, -1, -1, -1, 227696162, 591522238, -1, 199115502, -1, 457891524, 488578097, 254401258, 81326111, 225480423, -1, 970169538, -1, 949435670, -1, -1, 350066159, -1, 306599558, -1, 934206056, -1, -1, 544976971, 942798957, -1, -1, 331981704, -1, 872559940, 680947263, 19698992, -1, -1, 492764845, 710804278, 260449373, 45903332, 534313457, 497227590, 275084013, 67848604, 611045661, 14826397, 571925435, -1, 914113383, 668677560, -1, 949255099, 371285070, 659931449, 387806676, -1, 529954262, -1, 559189723, 21176218, 548587951, 365484951, 757492764, 320160950, -1, -1, 32409442, -1, 284232810, -1, 455844766, 989199673, 1597030, 76300227, 878992407, -1, 507956754, 125764647, 547575119, 278108259, 829824310, -1, -1, 436888965, 456044270, -1, 449863286, -1, -1, -1, 38823847, 571104979, -1, 979170774, -1, 215892688, -1, 718324990, 114192026, -1, -1, 955062062, 423588031, 568160445, 369815673, 29112867, -1, 441297653, 836253594, 737914001, 572606261, -1, 471557176, 690050404, -1, 607979920, -1, 567400490, 863022308, 895488436, 953723125, -1, -1, 19406457, -1, 976264179, -1, 783532445, -1, 478774542, 122068185, -1, 773540530, 61791949, -1, -1, 781493207, -1, -1, 625596507, 984058837, 786661577, -1, 194592, 414831207, -1, 538157834, 291705258, -1, -1, 308369392, 524577783, 499080507, 960563086, 551592318, 99295985, 422321043, 706336081, 966487318, 552414573, 37182722, 11238568, 923688749, -1, 521813594, -1, -1, 554384816, 274983658, 259741230, 129625038, 596013365, 626150021, -1, 671002747, 942287552, 864947315, 586942192, 617539088, 683750808, 863946230, 203383461, 997958343, 418893610, 983568933, -1, -1, 815688676, -1, -1, 329925453, -1, 779372331, 34815535, 690948742, 496510977, -1, -1, 131379170, 154409262, 130317114, -1, -1, -1, 79541903, -1, 849363000, 746542829, 356518342, 310442883, 250899781, 894477975, -1, 706307963, 612613924, 224373076, 276697941, 247119915, 649341940, -1, 870691522, 933094384, 660984872, 122395529, -1, 122732945, 502143968, 789992464, 551733595, -1, 586132722, -1, -1, 898484344, -1, 953996649, 987330086, -1, -1, 425139682, 361263116, 958178219, 96860961, -1, -1, 728595037, 748307950, -1, 156437491, 652727617, -1, -1, 760277992, -1, -1, 977298108, -1, 420739301, 596515877, 233518993, 965598660, 965914904, 660183704, 938005144, 770273071, -1, 643833750, 66409506, 570775642, 813352304, -1, -1, 134548591, -1, -1, 413224307, 871000430, 901786920, -1, 264716092, 975924903, -1, -1, 71965511, -1, 45166505, 728334864, -1, 548981973, 583601966, -1, -1, 571373084, 103267396, 244993889, -1, 378194100, 364110267, 701181696, -1, -1, 994458568, 812180561, -1, 777091636, 79725947, 972589970, -1, 570460372, -1, 948211756, 133952187, -1, 677370020, 884297393, -1, -1, 38490508, 585611678, 925283164, 410032130, 284869020, 828064491, -1, -1, -1, -1, -1, 853298771, 539754494, -1, 53545304, 232407448, 987392025, 305316643, 335248254, 74417074, -1, -1, -1, -1, 291335652, 542338734, 327727971, -1, -1, 980267451, 562473752, 112734207, 983570959, 748780738, 786893686, 859193263, -1, -1, 324571881, 431834849, 119486784, 738427702, 718827314, 584952431, -1, -1, 423820738, -1, -1, -1, 695649365, -1, 754028483, 36529500, -1, 605592344, 536492869, 479010224, -1, 730984328, 705535904, 348808817, -1, 655796373, 120914411, 496704456, 557823298, -1, -1, 436145979, 888297822, 535522194, 102049970, 28228606, 619496679, 474077788, 893372546, -1, 612244782, -1, -1, 965732657, -1, -1, 217097242, 947520814, 471124946, -1, 864639904, 575981980, -1, 724704010, 896369195, 496023, 760783676, 782954860, -1, 555603731, -1, 874238119, 268180050, -1, 96708610, 393074843, 36117939, 623896178, 873517831, 800138655, 288661508, 993449544, 479564235, 744842333, 782833617, 808289410, 395268328, 567703307, 78436991, 670464332, 191728962, -1, 106552624, 434960124, 114879220, 80660508, 154367938, 155202814, -1, 433977913, -1, 754993213, 639430871, 194330668, -1, 292507392, 138527060, 398406197, -1, -1, -1, -1, 890560705, 207546127, 815552403, 955550984, 113837755, -1, 562449263, 209943710, 145004727, 228136807, 154825970, -1, -1, 225142559, 552153147, 676130610, -1, 70354299, 338390943, 389452585, -1, 270044487, -1, 558131975, 339873558, -1, 17404619, 894444195, -1, -1, -1, -1, -1, 620137009, -1, 120358188, 184468581, 86717070, 192273318, 755376890, 952189256, 172147395, 558657408, 241585894, 968103363, 662882741, 55026610, 938223943, -1, 491717202, -1, 39408762, -1, 160485999, 91050039, -1, 65432377, 901518415, 291679355, 266896980, 583643318, 870332614, 843879711, 418651287, -1, -1, 758187114, 7844192, 933401742, 873555204, 228778207, -1, 969912263, 581238572, 315920606, -1, 896749116, -1, 907426959, 382354584, 968697825, -1, 390081316, -1, 285009321, 649011922, 462827259, 772480773, 298249175, 322656568, 647505122, -1, 89734885, 277631731, 728301502, -1, -1, -1, -1, 627217699, 525475134, 780556248, -1, -1, 130808582, 153775054, -1, -1, -1, 785562491, -1, 270183368, 355344523, -1, 40233018, 207886370, -1, 761598640, -1, 736058520, 955829448, -1, -1, 732794429, -1, 934517835, 509586581, 689852783, -1, 801062673, -1, -1, -1, 444008819, -1, 416530525, 720324252, -1, 258880944, 821675617, 551773778, 688537313, 723822345, 601069651, 802597641, -1, 948954945, -1, 6791251, 380276831, 502027028, 532382112, 659414882, 977254338, 839619420, -1, 263858677, -1, -1, 282503052, 456481776, -1, 784256513, 369264719, -1, -1, 666104655, 170678394, 248553879, 770519454, -1, -1, 675280358, -1, 893360994, 884358372, 683269605, 341745204, 613714957, 472490252, 613590109, 281425713, -1, 390712608, 654014847, 311699872, 95732708, 430054585, -1, -1, 152584396, 985765686, -1, 419589077, 523901246, 189205538, 412185487, 43133660, 563275495, -1, 321881393, 842194272, -1, 810295944, -1, -1, -1, 446683797, 743390351, 64791252, -1, -1, 89112833, 279258036, 917775561, 759822550, 590174521, 139747850, 62556212, -1, 448982875, -1, 786724490, 540939814, -1, 73301353, 213649416, 577149136, 233953674, 618760232, -1, 556121218, 210595237, 845839902, -1, 818955509, 572278715, 836634876, 506676765, 607420869, 201764280, 748593120, 897794204, 76492258, 804164745, 855404581, -1, 569278917, 409840354, -1, 232995477, -1, 613492159, -1, 114061317, 356825287, -1, 449514451, 1024708, 61825330, -1, 806640542, 217275344, 368020060, 398393933, 812151719, 959538449, -1, 419532802, 972444920, 766082759, -1, 873813180, -1, 419917461, -1, 907178357, -1, 26617456, 669331440, 750563152, -1, 579120449, 195655907, 870083248, 40927902, 214213978, -1, 424123328, -1, -1, 11325555, 539108068, 974591984, 881897227, 440727104, 340768902, -1, -1, 565530050, 789305445, 967509347, 834649127, -1, 884306115, 302157053, -1, 930375287, -1, -1, 867975751, 225214580, 652646874, 28396655, 643727742, 961718963, 191533285, 644151854, 504254946, 389196046, -1, -1, 629812912, 869557423, -1, -1, -1, 391239928, 570157647, 378585644, 947846927, -1, -1, 48145670, 45428233, -1, -1, 635059715, -1, 361856282, 738002085, 496903286, -1, 615608832, 834744958, -1, 440699584, -1, -1, -1, 226972805, 194087046, -1, -1, 291622464, 528022443, 435099377, 677654810, -1, 855329644, 581118471, 174040108, 57090069, 796517303, -1, 240348425, 273303193, -1, -1, -1, 832841401, -1, -1, -1, 636285307, 624957322, 293567935, -1, 291688613, 921311171, 780858168, -1, 30952907, -1, 41939308, 737002807, 673408307, -1, 628514459, -1, 640745038, 96589226, 784270174, 640178108, 771952446, 366593138, 749438265, -1, 922106492, 3876541, 84545721, 743389819, 469340070, 186391032, 12180274, 101573248, 392126319, 993395325, 878493265, 413954530, 329257691, 241157674, 146014010, -1, 247665765, 337695901, 748326222, 421182976, 163782711, -1, 239524467, -1, 657099544, -1, -1, -1, 717403490, -1, 187582371, -1, 839870741, -1, -1, 919429045, 800205368, 48109273, -1, 171851369, 244896517, 954600658, -1, 854582486, -1, 271131416, -1, 702536051, -1, 937469198, 795007937, 333852784, -1, 600349024, -1, 560118692, 231440098, 228471877, -1, 21908507, 560861355, 504038944, 694031979, -1, -1, 68684443, 942167850, 728496756, 595158469, -1, -1, 321712973, 956932389, 886131728, -1, 511538752, 615494506, 931755278, -1, 546883536, -1, 301211009, 596601895, 634246297, 129222263, -1, -1, 891793390, -1, 661402230, 733649222, 137569929, 726934924, 850521883, -1, -1, 467880279, 807461048, 907005341, -1, 918722367, -1, 165177331, 432767911, 76767854, -1, -1, -1, 29764335, 703769610, 939456497, -1, 833088555, 761611681, 678408337, 603351979, 899268127, -1, -1, 323264461, -1, 856381397, 640149225, 441158771, -1, 675639407, -1, 538389626, 522329991, -1, 269363138, -1, 796827463, 921945976, -1, 621643910, -1, 13740346, 80404968, 992625124, -1, 964289804, 922603235, 635951550, 343343393, 70219628, 872131411, 745900621, 620098437, 866996725, -1, -1, 55162796, -1, -1, 633366493, -1, -1, 460124597, 95036048, -1, -1, -1, 157853698, -1, 261185268, 447256477, 487198246, 735097608, 391173953, 997149246, 732058528, 359398188, 236948880, 960620524, 864218773, 255042473, 440337541, -1, -1, -1, 513813147, 156741849, 578890601, 248815041, -1, 827548272, -1, 584146075, 730077291, -1, 274552951, 925723196, 521933644, 168714399, 298451626, -1, 237491477, -1, 847247583, 601579649, 681296618, 450857441, 117739410, -1, 102807869, -1, 489974046, 995951862, 896812225, 371588442, 684065150, 725741397, -1, 221187717, 458871463, 811916496, 21954586, -1, 745220999, -1, 279490095, 700589876, 956108179, 40985001, 337323959, 124396998, -1, 202311817, 1774064, 447521580, -1, 693826107, -1, 312486, 28586608, -1, 199651969, 10866820, -1, 160365434, 787656513, 339986571, 117560079, 659824840, -1, 305542257, 625805569, 172125498, 392999996, -1, 403217834, -1, 952019901, 590480592, -1, 513246817, 23434608, 389862768, 190525613, 865272708, -1, -1, 183772811, 60563507, 218738714, -1, 608299554, -1, -1, 196495829, 188746599, -1, -1, 147988081, -1, -1, 835403351, 263862139, -1, -1, -1, 295236899, 162119215, 309952991, 576947152, 883842777, 292787906, 146834603, 99485434, 81699217, 68473622, 388542261, 819681366, -1, 940186433, 727574823, -1, 458355172, -1, -1, 660478559, 802344802, -1, 998886392, 790640265, 821099141, 454394151, -1, -1, 607027721, 977151718, 484927791, 357019726, 824184374, 816930400, 273137047, 44681475, -1, 612651308, 505064488, 750357253, 502094198, -1, 769560329, 350011891, -1, 383072268, 957739897, -1, 605095274, 78787842, 28987135, 104133333, 141189271, 352185730, 451466056, 788277820, 75108439, 717369416, 279346714, 438640731, 480147960, 433213760, -1, 793250749, -1, 514284521, -1, 904938656, 986609870, 941317126, 491031472, 527737757, 522847419, 42898615, -1, 706079956, 921613185, 843457735, 396008123, 410726666, -1, 855721846, -1, 309225494, -1, 607086031, -1, 518726441, -1, 258064956, 281243894, 335856671, 727997562, -1, 812436660, 985991350, 158755693, 421585066, -1, 317635847, 657211881, 556034252, 29339195, 42222883, -1, 789411862, 573154832, 652152753, -1, -1, -1, 349249956, -1, 20664718, 665821327, 119561532, 906668729, 763460330, 446895900, 70131248, 238012749, 124570484, 161063561, -1, 723020447, 434201087, -1, -1, 978519279, 689134165, 786747234, -1, -1, -1, 121252967, -1, -1, 79447792, 30713953, 165578485, 736706771, 707073190, 684941470, 398728320, -1, 31681487, -1, -1, -1, -1, -1, -1, 982672150, 49014504, 745822539, 259842036, 439139409, -1, 68379073, 700991171, 210023369, 835559983, 425930323, 258214603, -1, 477243720, 110557182, 781163098, 694584074, 995164870, 635271684, 111425676, 298559070, 808206068, 519002975, 75312577, -1, 925463549, 420781736, -1, 220086815, -1, -1, 386956124, 639034599, 124096233, -1, -1, 567040867, 894256053, -1, 521120776, -1, 89027998, 406453535, -1, 820174270, 866858077, -1, 425114151, -1, -1, 868827617, -1, 20138008, -1, 113962055, 339843377, -1, -1, -1, 1645598, 102973020, -1, -1, 98398659, -1, 95937407, 990764730, 750524330, 553277573, 8572919, -1, -1, 871575235, 984086663, -1, -1, 221140326, 183461668, 47925222, -1, 247767356, -1, 888862729, 876860680, 534422021, 808067819, 245230167, 249553287, 791010942, 446440018, 979373145, 840177889, 611405228, -1, -1, 890517863, -1, 412624835, -1, 240533176, 433521397, 314178537, 728826836, 256729959, 993035518, -1, -1, 805821482, 8497740, -1, -1, 448975409, 685026599, 920284290, 357443529, -1, 914615112, 459965550, 871612968, 493944804, 377584069, 156378146, 950015691, -1, 652350919, 93321546, 779488024, 480260638, -1, 927899659, 56365622, -1, -1, -1, 743648754, -1, 906527097, -1, 605731467, -1, -1, 948948119, 397620124, 94599122, 822367286, 196038072, -1, 153215744, 796367539, -1, 282494152, 455984941, 186033216, 24628727, 678678579, 63816107, 806671527, -1, 831148722, 906790406, -1, 475365557, -1, 717040797, 544223488, 458756977, -1, 145786986, 68043232, -1, 475198182, 207570540, 226980560, 69121646, 136586259, 535798151, 248645206, -1, -1, 474958792, 545143351, 820376844, 239927799, 856672681, 936835091, 897547174, 624232587, -1, -1, 825573341, 582073056, -1, 1672949, -1, 67561706, 563746005, 705074412, -1, 93428907, 453724318, 605672535, 146137665, 806865632, 929300838, -1, 408049964, -1, 60316114, -1, 511515618, 767343197, -1, 245634423, -1, 535398628, 868986751, 571339545, 477858590, 733972979, 730275292, 619903500, -1, 848643989, 123598250, 666038553, 206250495, -1, 809017945, 824377915, 608233466, 871867777, 689612678, 269766626, -1, -1, 659886500, 914377838, 706075556, 724059974, 53190485, 286957455, 460115496, 752275395, 477705405, 125237448, 373449501, 944826687, 787949844, -1, -1, 533344513, 892471714, -1, 222575886, 397051477, -1, -1, 834354763, -1, 643150479, 405482310, 922071162, -1, -1, 503168155, -1, 99333590, 972191134, -1, -1, 672295293, -1, 191048161, 510347148, -1, 928452191, -1, 93027556, 500614753, 919671445, 98959936, 494303841, 711437442, 994075279, -1, 175550450, -1, 693118591, 759243529, -1, 814454049, 901524387, 509430183, 177781064, 463850610, -1, 785724057, 890108364, 787517582, 653425366, 104097705, 731789933, 520935440, -1, 164747862, 650586909, -1, 74517166, 748299285, -1, -1, 422884928, 91853698, 974975209, -1, 825001638, 62672314, 703471597, 895116754, 202269626, -1, -1, -1, 670489109, 979007271, -1, 239303707, -1, -1, 797248201, 210595146, 213221315, 185079949, 287579665, 194521341, -1, 318327508, 703078418, 316331109, -1, -1, -1, 980660211, -1, 978018138, 351756034, 369932288, 778573445, 992582260, 693255266, 47080062, 794201226, 459339528, 493688510, 700290982, 806580205, -1, -1, 549616496, 662384915, -1, -1, 140078660, -1, 849720221, 193303102, 860399187, 726158937, -1, 96117503, 308182671, 414008808, 918822107, 752256474, 711800752, 608882141, 677442440, -1, 594262476, -1, 86564001, 584392206, 151571249, 832750424, -1, 325712237, -1, -1, 290054931, 424460908, 795552426, 680676375, 759884100, -1, -1, -1, 525519056, -1, 235285157, 62281974, 557120892, 138596742, 930548802, 301074102, 542885043, 251095434, -1, 188755033, 750740366, 249050467, 641052012, 446171202, 204937280, 825645650, 714552359, -1, -1, 719234205, -1, 166473107, -1, 958647590, 63390024, 715299940, -1, 107548051, 508968423, 267444975, 697638567, 1869438, -1, -1, 26185459, 415912891, 343451405, 220012743, 163339057, 81195691, 972116264, -1, 748063394, 674692402, -1, -1, 146548445, 655636685, 131849497, 689481654, -1, 244241921, -1, -1, 459019693, 539990417, -1, 934060383, 523809802, 662756961, -1, -1, 744106781, -1, 444997868, 292116487, 359494016, 205097927, -1, 334091786, 288456792, 916947004, -1, -1, -1, 173796237, 716883158, 922832032, -1, 667407279, -1, -1, 60203693, -1, 832493058, -1, -1, -1, 342606149, -1, 434565753, 369111536, -1, 802475093, 63551022, -1, 90968964, 506176876, -1, 862892134, 496291543, 839973319, -1, 321324030, 748315519, 969437105, 562730101, 25125863, 646983140, 925039325, 965414256, 33697192, 48666217, 676919720, 704204292, -1, 210984486, 408006322, 792826891, 772192477, 175294684, 741879147, 61914593, 693018510, 303262564, 512396979, -1, 63550955, 295854218, 193202608, -1, 636497940, 428070633, -1, -1, 289054958, 176542482, -1, 196185893, 115509194, 977525054, -1, -1, 267737118, 690318803, 358911168, -1, 152179137, 404075575, 503680216, 413382209, -1, -1, -1, 107331990, -1, 932972708, 757996406, -1, -1, 901040811, 873225109, 13232013, 234860317, 888528343, -1, -1, 264000210, 995260301, -1, -1, 556034851, 561330537, -1, 40364412, -1, -1, -1, 43971751, -1, 748835451, -1, 34070149, 488718556, 80482836, 208544294, 146906517, -1, -1, 252502811, 40717418, 675095369, 94472068, 523218131, -1, 12212048, 157613161, 161783928, 717131604, 220400158, 362017429, 94224332, -1, 502420755, 261440904, -1, 490641709, 114115339, 639834198, -1, -1, 776371121, -1, -1, 501816587, 832263544, 350175972, -1, 964024067, -1, 396436126, 729835146, 241447132, -1, 583576189, 198464788, -1, -1, -1, 276818270, 640034038, -1, 893100935, 433004781, -1, 303144657, 742614820, 512762348, 483406936, 802727345, 927004485, 126452376, -1, 586390435, 920057089, 832115362, 894870709, -1, 393474028, 452145905, -1, 360286617, 302944728, 93097199, 840247741, 785904924, 936960672, 892042912, -1, 247516513, 922131599, -1, 535717990, 758019222, 956855930, 818643272, 347175098, 380216820, 23499788, 409011694, -1, -1, -1, 785705597, -1, 1690218, 429718743, 756757420, 769906293, 296015920, 556024803, 183548551, -1, 730384123, 430240308, 363669099, 513080407, 230115405, -1, 684083630, 650913680, 664700423, -1, 937283173, 76698289, 361388227, 878923357, 28780161, 109133682, 60709509, -1, -1, -1, 394940197, 797237849, 984475136, 720052328, 213634305, -1, 349714266, 421681159, 550793056, 526365139, 499507278, -1, 39977080, 177341081, 570085875, -1, 456838427, 397596899, 630749793, -1, -1, 269838870, -1, 841609825, 161761703, 364199070, 453121409, 123985118, 411224883, -1, -1, 525690939, -1, 520535004, 871099577, 496841816, -1, -1, -1, 313208219, 288577352, -1, 793839732, 341885293, -1, 761961588, 594270749, 315850402, -1, 26298934, -1, -1, 29695141, 725959396, -1, 354931720, 741560715, -1, 938947744, 545422950, -1, 350920985, 797304432, -1, -1, 409855418, 900208137, 357659574, 466412964, 576520158, 814534411, -1, 811480340, -1, -1, 122104306, 35948091, 348157981, 523367815, 719735053, 137115338, 408057955, -1, -1, 472917622, -1, 135912842, 658669789, -1, -1, 341601634, 570982376, 261558225, 307158701, 874655337, 68111259, -1, -1, 265164650, -1, 809413718, 599513685, 417120664, -1, -1, 675152514, 556512466, 420786309, 314229712, 577590365, -1, 944909384, 611097366, -1, -1, -1, 633412065, 714786923, -1, 767269181, -1, -1, 283207891, -1, 911625070, -1, -1, 295042995, -1, -1, -1, 768279323, 931246139, 832984209, 251902660, 638142785, -1, 742553173, 237235967, 592416780, 955610091, 848920585, -1, 899146595, 911769535, -1, 750212115, 724271004, -1, 886918351, -1, 516071780, -1, 25860784, 274120250, 756676025, 578562691, 659441050, -1, 733099495, 751485799, -1, 163564672, 200981903, 480679255, 312492109, 168274088, 777860720, 628617262, 334128147, 548469133, 452723430, -1, -1, 510381252, -1, 821044830, -1, 894907432, -1, -1, 607609579, 43363710, -1, 679899950, 800608461, 295251816, 881248878, 796834216, 925302670, 86621585, -1, -1, 840322473, 572127019, 725677672, 502676630, 984686272, -1, 639230257, -1, 845075616, 738635597, -1, 932732627, 664632215, 944533519, 139645239, 203028595, 944293718, 912399466, -1, 551748512, -1, -1, 106732316, 638648196, -1, 770797580, 823222421, 242066965, 814526686, 69552724, 197347222, 995345021, -1, 332811376, -1, 146777664, 389515093, -1, -1, -1, -1, -1, 725260785, 634993623, 486317244, 251841020, -1, 126327498, 738488747, 309171490, -1, 857930689, -1, 72305177, -1, -1, 230050705, 865359769, 242827665, 779851967, 670847115, -1, -1, 623184061, 202573657, 428956079, -1, 191152945, -1, 169275740, 195535678, 700240996, 181003908, 99768080, -1, -1, 213390584, -1, 552734329, -1, 845006945, 619180598, -1, 674633991, 966420845, -1, 645143113, 405122978, 971095364, 880002578, -1, 84791230, -1, 901297467, 76653453, 254738985, 653108395, 901220468, 20458806, 579051489, -1, 580045127, 52669060, 209509653, -1, 642736579, 438880762, 769411099, 979068257, -1, -1, 510552965, 574550776, 575022683, 182497094, 299932662, 545512960, 828624585, -1, 679547114, 496383369, 38464253, 935270035, 404408464, 206554313, 711680398, 629578335, 603624436, 353385759, 93445656, 674419567, 729482920, 211760563, 108889521, -1, 696012085, -1, -1, 168109362, 564219320, 704208305, 827865518, 717468119, 609160825, -1, -1, 584157072, 686742571, -1, 425871141, 485544139, -1, -1, -1, 984449831, 139481066, 366786941, -1, -1, 49463258, 259914961, 834187330, 668190282, 435336148, 703187433, 392312492, -1, 748386530, -1, 607013903, 291744681, -1, 991993173, 251611725, -1, 239321026, 712850250, -1, 381454105, 314065340, -1, 300692491, 561996830, 580478809, -1, 114705569, -1, -1, 874271843, 749955846, -1, 575056226, 199606283, -1, -1, 210569772, 829590260, 549578726, 622927810, 73996978, -1, 285187422, -1, -1, 69574179, 180964449, 109150673, 13154639, 731158049, 210622707, 809844063, -1, -1, 329018614, 682081529, 258251313, 71886573, 747934221, -1, 582068481, -1, 343619449, -1, -1, 197428406, 689853884, 505462903, 480497703, 722352683, -1, -1, 619027756, 890335842, 981546157, 630139984, -1, 366778665, 807515806, 838190244, 22220819, -1, -1, 234213155, -1, 837343790, 787378264, 707902045, -1, -1, 741781088, 302204972, 570037029, 12837123, 313781416, 472200069, 15617579, -1, 272738987, 214472109, 974039741, -1, 842543420, 465434952, -1, 453850048, -1, -1, 547740782, 900898349, 958987469, -1, 743793462, 506498529, 460665536, 32600870, 27714197, -1, -1, 955438864, 670362804, 421895454, -1, 752344878, -1, 820538595, -1, 286600536, -1, 900572944, 74499864, 454943191, -1, 643189660, 821957568, 821761301, 7917581, 326162176, -1, 263086278, 792497779, 981119537, 425748304, -1, 825231622, 11041508, 36775798, 846770114, 760087424, -1, 650026463, 151006182, -1, 842494452, 10275906, 683391383, 977978744, 309662005, 42854753, -1, 371510929, 304905862, 685221237, 329112359, 874880185, 195810923, -1, 669338547, 58344485, 772760795, 678081091, 582746109, 821958850, 616548567, -1, -1, -1, 266476605, 439516711, -1, -1, -1, 85452826, 11986310, 529476599, -1, 597468867, -1, -1, 236175764, 57910570, 841523741, 345740719, 893650257, 102409401, -1, -1, 652100069, 735599602, 434833922, 639380096, 229960639, 194197592, 113653801, 82514167, 191846889, 724426316, 332794021, 629102689, 304531700, 403659246, 62909345, -1, 657665424, 163647910, 486206199, 230077658, 956122258, 508435538, 466328776, 603314795, 589129434, -1, 614999907, 115427404, -1, -1, -1, -1, -1, 713391627, 994981038, 664754256, 950040022, -1, 480570767, 790744770, 25433369, -1, -1, -1, -1, 322471796, 150467066, 887550874, 904925821, -1, -1, -1, 500772330, 51771729, 53737723, 124110981, 561926514, -1, 372468660, -1, 714809686, 920624733, 267787929, 522534969, -1, 919385850, -1, 470354889, 761289460, 895398203, 330608265, -1, -1, 631345002, 294462113, 527919530, -1, 661921727, 805967025, -1, -1, 649758942, 970230689, -1, 93505513, 975715921, 663421399, 178141404, 714166871, 830393221, 532049601, 38097759, 967335515, 489264020, 127708556, 738661733, 419701551, 549325735, -1, 117522827, 378763586, 17782664, 132881791, -1, 664885510, -1, -1, 242295731, -1, 420498376, 920961906, 622986848, 972321212, 289081240, 234685525, 408594472, 274327142, -1, 904790170, 390044427, -1, 270027063, -1, 825314827, 997586785, 572797909, -1, 456411072, 840141143, -1, -1, -1, 982417252, 258278680, 900352878, 252969202, -1, -1, -1, 865579817, 462814904, 919734209, 319580795, -1, 567458576, 992525884, 83051249, -1, -1, 864660977, 944560889, 23216190, 49802605, -1, 900749698, -1, 617930564, 922372135, 952057933, 699350478, 335563444, 885478583, 953092566, -1, 179251126, 166528766, 549517293, 940967769, 225194801, -1, -1, 318836733, 356209758, -1, 962688861, -1, 77459028, 672357421, 369463184, 93368031, 753276002, 510010183, 356193754, 283918618, 143753122, -1, -1, -1, 664989355, 762023258, 150438702, 881785932, -1, -1, 893988266, 414886556, 953105966, -1, -1, -1, 44764570, -1, -1, 6657510, 948324081, 362171749, 21720530, 450939816, 228579980, -1, 108657003, 460237461, 254073741, -1, -1, -1, 376794976, -1, -1, 279508955, 807475430, 828038833, 794009676, 481941838, 220431570, 164156178, 500800105, 988714269, 553970396, -1, 666385178, -1, 270649145, -1, 172004960, 643430515, 56793978, 84683432, 348279485, 839119709, 465789958, 429668891, -1, -1, 605296107, 262823192, 645544393, -1, -1, 735030295, 427548834, -1, 946666197, 881410971, 222904180, 402839553, 286213560, 229012327, 887146864, 686589583, 15963435, 557067512, 177656902, 630968791, 282010173, 180612212, 141549565, 450932357, 895719818, 453294675, 15125937, -1, 63896598, 50909283, 113725012, 10943189, -1, 945419505, 792564057, 36829513, -1, -1, 923152279, -1, 364515466, -1, -1, 654909919, 593941591, 203412311, -1, 746581524, -1, 217276950, -1, 966113409, -1, -1, -1, 217762585, 451902888, 874984631, 630966204, -1, -1, -1, -1, 780126585, 947343170, 195801504, 863038536, 798231967, 934523643, 938865601, 833947966, 839923216, 138420814, 912909909, 73751471, 793854391, 75883821, 972688469, -1, 629058854, 252625596, 449261255, 689357562, 543145929, 6609389, 3635008, 814953815, 506576276, 886617679, 382457738, 917419112, -1, 132868692, 170201606, 977375971, 56339595, -1, -1, 171494840, 604978308, -1, -1, 174322929, 262257937, -1, 498000399, 751825252, 210381532, -1, -1, 472967076, 708048638, -1, 431116794, 609608954, 356327929, 329395225, 415491002, 14021976, 355312021, 72952969, 306137013, 859191686, -1, 758563964, -1, 227701499, 344574852, -1, 394667435, -1, 79517785, 484943174, 23661995, 577884727, 585894852, 346924187, 125316430, -1, 880851672, 479534572, 900329405, -1, 378634432, 982987522, 384226277, 45827334, -1, 979481375, -1, -1, -1, 344612869, 521263840, 566096143, -1, 593392108, 358313053, -1, 151482299, -1, 143443825, 287668201, 621890611, 816107110, -1, -1, 141254003, 292744691, 469568762, -1, 165795731, 616214930, 388053644, 89337400, -1, 488263002, 911572952, -1, 27869284, 27232943, -1, 158580953, 866687687, 301614259, -1, -1, 855990226, 890960158, 243548594, 14044258, 178210749, 135737096, 284466304, -1, -1, 217847179, 532827840, 776892458, -1, 618713690, 745939942, -1, 880231289, 487651644, 422592843, 320141003, -1, -1, 805293928, 281136990, 250599800, 361614483, -1, 314356942, -1, -1, 272128789, 514689058, 607974667, 753121848, -1, -1, 262387306, 489184262, 407375072, 347047344, 898746724, 818133676, 314057652, 297392467, 166341245, -1, 509656955, 537055036, -1, 190496149, 862145282, -1, -1, 978017192, 8813685, 438958314, 106645597, 761769397, 130975352, 920616640, -1, -1, 280528777, 659240165, -1, -1, 777867048, 415324492, 170972707, 434177155, 996340500, 603713237, 929137709, 365412828, -1, 190238254, 126508020, 682336192, 805531073, 616876422, 417523727, -1, 285817539, 461030740, 338091869, 787647641, 792386617, -1, 639610886, 253125961, -1, 85578047, 646329628, 930958950, -1, 920318915, 358925998, 511377194, -1, 41807067, 26124562, 908073954, 826588688, -1, 684920389, -1, 770767095, 430427541, 990270856, 827689221, 185758898, 969338752, -1, 472711750, 563426236, 93651100, 834467505, 439190878, 337387051, 818470280, 731289245, -1, 23432231, 232758739, 634745811, 637464997, -1, 566769897, 542296542, 512833667, 764178297, -1, 732277945, 612628920, -1, 59591220, 921872752, -1, -1, 100407950, -1, 920056861, 402666864, -1, -1, 476696739, -1, -1, 30791260, 448652915, -1, 627283364, 255786068, 427334920, -1, -1, 567777203, -1, -1, 824954757, 855441128, -1, -1, -1, -1, 555821918, 246741051, 584609343, -1, -1, 964172564, 15541815, -1, 388371111, -1, 686078460, 727963792, -1, 94085027, -1, 691879728, 978887651, 534617666, 918767019, 11522611, 54782866, -1, 150281675, 767346424, 120057166, 345874126, 822972533, 612354873, 592153594, -1, 572736430, 134950731, 469729643, 211583964, 144589103, 512623443, -1, 973785726, 276487673, -1, 979034185, 140278679, 162493796, 534280445, -1, 896431331, 129622425, -1, 169650114, -1, 412832516, 659829290, 637619263, 653767954, 158433757, 724548739, 713721452, 396255389, 652232670, 248688480, 447008318, 334156058, -1, 627844603, -1, 703335472, 293769167, 283146609, 443549456, 168412542, 356144228, -1, 929344045, 156767620, 750577784, -1, -1, -1, 621698066, -1, -1, 164877274, -1, -1, -1, -1, 934190523, 133702328, 991263949, 817496057, 812714413, -1, 627883182, -1, -1, -1, 332449017, 591613641, -1, -1, -1, 524839060, -1, 345891001, 304614531, -1, 317611688, 189348294, 373363607, -1, -1, 938264945, 298708653, 70938638, -1, 392137859, 994295273, -1, 791987753, 799785169, 939469963, -1, 964766559, -1, 647405137, 189030102, 991630181, -1, 263363294, 85360927, 956122731, 194656850, 358366245, 781479862, 386986800, -1, -1, -1, 101290253, -1, -1, 322868285, -1, 64617539, 91460238, -1, -1, 934204233, 276253003, 459508202, -1, 50018364, 199237321, -1, -1, 599446204, 591464993, 777915658, -1, 789930337, 337857824, -1, 563118214, -1, 299998548, 697202137, 634669420, 553043227, -1, 833110131, -1, 329576782, 163136554, 710866272, 845442158, -1, -1, 929234549, -1, -1, -1, -1, -1, 228610920, 382397037, 126776990, -1, -1, -1, -1, -1, -1, -1, 610704348, -1, 436842862, -1, 732947044, 443797034, -1, -1, 190136637, 722380835, 678012511, -1, 897076709, 560450791, -1, -1, 276954320, 53180246, 652183964, 696407645, 940439891, 403247273, 486657568, -1, 843810884, -1, 698354457, -1, 614069564, -1, -1, 820657129, -1, 850821091, 778077696, 336101960, 331633522, 928935388, 458621628, -1, -1, -1, -1, 899457422, 920501861, -1, 518427847, -1, -1, 680024135, 341421020, 660268548, 565948115, 195685778, 536639731, 638500759, 471255678, 486969171, -1, 861010585, -1, 994742661, 314633894, 865421914, 138915298, -1, 632853491, -1, 726917069, 217565330, 934241122, -1, -1, 445503487, 959709369, 897212176, 991319579, -1, -1, 756332286, 87301006, 557162446, 51152621, 694767552, 53288749, 897486739, -1, -1, 737881340, 142784018, 811903447, 707587414, -1, 594769615, 37100455, 680514595, 491244920, -1, 783815098, 509698411, -1, 519638984, -1, 425015620, 86861561, 683016225, -1, 910310528, -1, -1, 52975291, 142406860, 553294833, 707418643, 224032027, -1, 438385216, -1, 816009957, 790061773, 455567050, 355426603, -1, 841606901, 639633087, 437462321, 813112710, 301778060, 243227496, -1, 960278270, 525074287, 263849340, 356488907, -1, 700937055, -1, 706505023, 469159264, 920622903, 274698323, 750217574, 290162803, 797858886, 765558915, -1, 639588314, -1, 652221127, 672218377, 441306763, 450496128, 85721488, -1, 334461679, 29449284, 432060940, 605001429, 159313852, 885350552, 482027008, -1, 882599937, 674306682, 813080402, 356833197, 973313574, 88348844, 453133284, 852597961, 269548734, -1, 40614167, -1, -1, 66969695, 184302686, -1, -1, 494171315, -1, 926135230, -1, 831778076, -1, -1, 968174269, 76848435, 965165087, -1, -1, -1, -1, 295100205, 388199845, 318058367, 192176007, -1, 80102121, -1, 220628842, 471897443, 451550261, 223621528, 732737615, 822919918, 652186834, 187371116, -1, 925080273, 918569574, -1, 114987851, 701927241, 120852567, 99284282, 734220206, -1, 585929474, -1, 680198877, -1, -1, 443973300, 484361143, 88514562, 707081631, -1, 789215098, -1, -1, 366325602, 1684332, -1, 968764553, -1, 979020016, 729128750, -1, 303120626, 97484892, 725140727, -1, 746046111, 87323802, 586757152, 791177980, 434418174, 438641040, -1, 843816612, -1, -1, 326546469, 772522626, 720342856, 158158266, 325223770, 139019637, -1, -1, 710543868, 557272161, -1, -1, 764115023, -1, -1, 675817378, 787792492, -1, 29534507, 719103004, 330175406, 946929039, -1, 512704147, 314942323, 412899227, 540015145, 261081825, 95598059, -1, -1, 672672949, -1, -1, 278159437, 305197826, 247063258, 525345513, 517591612, 770230016, 528232064, 58285321, 791838959, 471262431, -1, -1, 836818012, 815593106, 702428461, 380231156, -1, 813957179, 885858395, 911842058, 739834423, 165427012, 641500073, 156528655, 473077629, 358950545, 997323272, 579581706, -1, -1, 950900936, 47795691, 745952295, 581542656, 117775286, 545629288, -1, -1, -1, 67226597, 867553485, 289067718, -1, -1, 210988077, 266389420, -1, -1, 109318097, 589678511, 361048111, 439689370, 521575957, -1, 537346679, 437264739, -1, 878940154, 250319259, 38532620, 509671211, -1, 453437816, 937825558, 400808369, 149630482, 734007041, -1, 588728588, -1, -1, -1, 473747177, 831036486, 974141308, 126211478, -1, 372196596, 972697712, 869964568, -1, 257843245, 41266699, 263438670, 48935214, -1, 75516936, 981159706, 286499532, 348589300, 764446383, 567149, -1, 310152126, -1, 792301679, 283095347, 283048942, -1, 707699424, -1, -1, 337069851, 244129608, -1, -1, 879249660, -1, 383769618, 433665166, 839074089, -1, -1, -1, 495147919, 143338021, 55512816, -1, -1, 129261928, 113188471, 482238322, 825677544, 813681539, 730281121, 830052425, 56494278, 292635012, -1, 492447765, 968087869, 26204381, 640491700, 966832726, -1, 230189290, 180873462, 728437424, 86881442, 405383588, -1, 868056589, 241397093, -1, -1, 194897390, 712515865, 753883549, -1, 531105898, 341897904, 677400508, 47084654, -1, 891748903, 298793218, 131309890, 786684336, 444218850, 947166767, 587025737, -1, 806694233, 608023733, -1, 142487558, -1, 289612898, -1, 528893235, 149767017, 647309312, 367189553, 526553843, 44636011, 670970900, -1, 694863361, 790615025, 838715462, 838017385, 865078258, 716853882, -1, 549392341, 477175982, 817130393, 696407769, 16218149, -1, 574252941, -1, 25034784, 24370312, 39121875, 572435097, 331220864, 166455869, -1, 670746688, 308977609, 166382236, -1, 946089947, -1, -1, 625289527, 201467954, 127407870, 819535900, 297040392, -1, -1, 128858260, 401708557, -1, 442294540, 569103165, 241681291, 17250273, 311527559, 54179910, 834976533, 953458736, 908058471, -1, 875229426, -1, 413608757, 922387321, 363751494, 377539228, 507342855, 86132048, 528275519, 674293402, -1, -1, 619586315, 682248213, 558811417, 261695622, 165913429, -1, 40743946, 389523343, 975810514, 884785551, 242821906, 674922594, -1, -1, 354473941, 472099673, 251363448, 284373612, -1, 489558508, 104753662, 914573108, -1, 652774537, 55555401, 522736560, 61978449, -1, -1, -1, -1, -1, 483300431, 239361729, 301639132, 560139333, 618586656, 660129206, 335513499, 232474440, -1, 99693540, 660654093, -1, -1, 855543010, 194140144, 968712609, -1, 14954961, -1, -1, 327324384, 361285151, 124987405, 608016660, 447330298, -1, 45475275, -1, 931525826, 360032931, 7483667, 893918553, -1, 487419932, 588104678, -1, 811591515, -1, 804579743, -1, 710486060, 298999275, 78915620, 265103012, -1, 892199979, 748955427, 422916922, 506806121, 655361592, 402327816, 120153780, 685508073, 935122191, 587595956, 662741720, 952873543, -1, 985734279, 418020694, 570110310, 283169977, 111393983, -1, 482124988, 409685626, 975941979, 404641810, 353421675, 128777307, 404034454, 786395341, 77587680, 981024538, 243633705, 201312742, 163652818, -1, 88830715, 259141238, 25061762, -1, -1, -1, -1, 312837958, 139197128, 858512382, 671451899, 775566025, 376607240, -1, 772632680, -1, 932864144, 526114569, 876087783, -1, 915867437, -1, 526776951, 588977742, 932520089, 111977191, -1, -1, -1, -1, -1, -1, 202545814, 8778311, 299775899, 558885699, 275321854, 733273928, 529949498, 517368714, -1, -1, 86818122, 124221691, -1, 805300772, 746425303, 192869101, 31539261, 888731916, 947954163, 221698423, 873730275, 296488018, -1, 999968190, 767043796, -1, 841392162, -1, 282808220, 773795457, 77647472, -1, -1, 853679704, 819615061, 102656024, 576228476, 466845057, 565006166, -1, 966002315, 130733829, 831934351, 800834254, 797438725, 129622672, 949549475, 869786195, 425792551, -1, 600414605, -1, 123556828, 63527129, 242073201, -1, -1, 68741515, -1, -1, 81682897, 914819273, 338701038, 877737312, -1, -1, 835073034, 714692021, -1, 95428734, 893879816, 578626815, 935839002, 95479029, 643956299, -1, 116791144, 364731976, -1, 657500620, -1, 141701972, 104494421, 435050572, 342318098, -1, -1, 219780303, 890004685, -1, 265591203, -1, -1, 256328066, 23265415, 7559896, -1, 268674889, -1, -1, 752462494, -1, 838306507, 564746772, 186398524, 549261782, -1, 86508271, 667295667, -1, 654078779, 427549142, 823342252, 61631470, 724042136, 211493417, 430990651, 347816689, 901028762, 448615084, 725800830, -1, 248225935, 64850541, 482508921, 384633836, 351784896, 599846297, 318934598, 759285699, 206098421, 488916414, 545780392, 575305669, -1, 74692904, 694987430, 663793768, -1, -1, 746766978, -1, 180142375, 783341872, 712960555, -1, -1, 306124816, 764090468, 451111282, 176422079, 281501429, 543086323, -1, 22630552, 681121705, 762310534, 285255534, 91939913, 111986392, 477263477, -1, -1, 912510246, 656046161, -1, 781950072, 87734306, 983773718, 471772175, -1, -1, 573527810, 398275903, 123272589, -1, 304747843, -1, 623043603, 342353935, -1, -1, 784758006, 668613526, 646258854, 452940393, -1, 334611555, 12845212, 526136970, 38564385, 845400395, 471844962, 316980092, 596231494, 577613571, -1, 396562090, 8751965, 254995228, 682129312, -1, 342897733, 415819041, 853319209, 484528557, 214150760, 662686104, 877648802, 247035227, 999159498, -1, 967439372, 596087222, 988676639, -1, -1, 123813886, -1, 200553213, -1, 438199054, 468421211, -1, -1, -1, 373283642, 441679000, 240835817, 680509283, 589490319, 22662933, 90090304, 850964671, 915676490, 649561893, 529776994, 566618187, 448977796, 605417052, 967359107, 140297539, 701403627, 793322143, 980841893, 84818670, 196739772, 436895359, 707721571, 127212534, 221879238, 938226923, -1, 841945357, 556419172, -1, 981169953, 93234559, 877950810, 769030078, 493813514, 72752437, 550959013, 520120549, 271472525, 918426036, 721375979, 676689851, -1, 229677835, -1, 400646783, 540077966, 538592446, 660793643, 235006215, 884275495, 381966729, -1, -1, 274559954, -1, 965751893, 410789994, -1, -1, -1, 285368138, 631321154, 548538476, -1, 752732675, 996542850, 353542620, 845056635, 104880080, 975822737, -1, 937805062, 572571191, -1, 435773747, 211377680, 344635052, 398042625, 686698971, -1, 755644959, 365454927, 979959548, -1, -1, 991277147, -1, 215675579, 892488561, 361707426, 582263481, -1, 68558596, -1, -1, 580052034, -1, -1, 201173776, 119110736, 162290179, 666899971, 118085236, 930588399, 544394814, 11510819, -1, 652845381, 430525400, 347398173, 874359348, -1, 24527721, -1, 327652313, -1, 395310802, 491142419, 853296137, 75793727, 288857762, -1, -1, 712542039, 504904402, 700122314, -1, 841987284, -1, -1, 581146139, 651320753, 195632616, 535959139, -1, -1, -1, -1, 481062598, 531054594, -1, 914042038, 280014398, 829915858, -1, 696367612, -1, -1, 662946148, 243028814, 725114302, -1, 336868591, 282744822, 75778768, 285983749, -1, 772601870, -1, 462988122, -1, -1, 335019951, 32998568, 290971060, 592414881, 220570193, 265337133, 289639784, 207181654, 531781004, 516734700, -1, 339112674, -1, 690870769, 195554803, -1, 880076227, -1, 370957769, 601803521, 328489355, 553103107, -1, 446486894, -1, 987007911, 263153053, 256097854, 708068074, 314556151, 113932339, 991339075, 354350178, 670441426, 105223073, -1, 503859085, 465228466, 238282116, -1, 596704288, 124789083, -1, -1, -1, -1, 195701219, 11946073, 192839921, 643355427, 187058672, -1, -1, -1, 627729549, 337133580, 841516253, 527238068, 503024094, 149881211, 24574224, -1, 184788216, 479929444, 862927973, -1, 627519429, 86273148, 783408762, 917612267, 900772268, 354316889, 885098624, 498905342, 477285560, 946087657, 457983337, 30919702, 106031104, -1, 632744715, 195542562, 688930253, 491156677, 115177027, 425611988, 636786617, 967935504, 374003655, -1, 707764087, -1, 338849207, -1, -1, 130862031, 666799145, -1, -1, 554917150, 596155147, 108511688, -1, -1, 227368016, 868732865, 123949333, 180324010, 740714837, 158588315, 127889614, 1885366, -1, 243703628, 102443418, 471093478, 659145413, 958202722, -1, -1, -1, 435577918, 215998112, 595289093, -1, 743573085, 788555206, 764745848, 443325268, 776000902, -1, 611027196, -1, 90061770, 809632866, 631126428, 263026168, 485249706, 299506089, 184664466, 200193502, 500784647, 877127381, -1, 44023875, 32096203, 572747278, 407073582, -1, 354218511, 745205429, 737833324, 130356724, 473117083, 241131657, 247383703, -1, 42669607, -1, -1, -1, 49426201, -1, 609733024, -1, 415013170, 109892887, 154927957, -1, 560842798, 120795843, -1, 636401601, 933638685, 318296700, 569412671, 861374139, 121554885, 585391641, 801829631, -1, 861370255, -1, 7160237, -1, -1, 456227685, -1, -1, 328516211, -1, 745755423, -1, 609690544, 139485623, 539093739, 970278368, -1, 505937075, 589521529, 938519919, 529746567, 201185283, 268660473, 376469152, 276758466, 673316505, 666954247, -1, 913552973, -1, 382660872, 14335126, 112514124, -1, -1, 754608918, 259384075, 532873377, -1, 256047811, -1, -1, -1, 586758799, -1, 733578812, -1, 250443624, 555225707, 669879992, 209799213, 539536569, -1, -1, 641118197, -1, 52149432, 78132485, 597038655, -1, 166733896, 863738224, -1, 158693102, 335237307, 177589888, 1182112, 237301831, -1, 253052132, 989953832, -1, 906137127, 987123076, 568899543, -1, -1, 948783466, 852182013, -1, -1, -1, 120194322, 739167856, -1, 428309613, 325326975, 536013259, 825070872, 355350764, 998011425, 755018891, 893085777, 831360966, -1, 637692986, 636368145, 927870864, 13432352, 57618654, 418953810, 480483211, -1, -1, -1, -1, 508185396, 407988064, 815104396, 823965588, 347302338, 995754653, 799916204, 935445042, 905745955, -1, -1, 239606378, 327868847, 112325183, -1, 91684653, -1, 238319967, -1, 998466640, 26371178, 142674249, 743647784, -1, 101045609, -1, 629959175, -1, 699482426, 806890600, 967119754, 490524950, 532729713, -1, -1, 838226554, 710072203, 824738604, 769746168, 254636277, -1, 47610989, 614425809, 773625614, -1, 810319205, 383752751, 489349626, -1, 2442933, -1, 247065935, 506441030, -1, 613978150, 980861556, 759051474, 791424678, 417197400, -1, -1, 325721367, 75374220, 726051708, 779630761, -1, 445561526, -1, -1, 799805749, 98715357, -1, 887323845, -1, 569041193, -1, 45057466, -1, 437272230, 466451639, 824177929, 108931686, 317320479, 560189442, 917138285, 228287829, -1, 526062265, 660814504, 153426286, 550519989, 603313845, 300035279, 764867344, 652764246, 301112005, -1, 623403921, 660371266, -1, 481015298, 646809564, -1, -1, 857067215, 180729649, 487925576, 815450050, 568071545, 691977989, 215810692, 688796325, 537946794, 415246300, 45152058, 141033498, 340379231, 786057852, 334628125, 33867035, 719904816, 459772155, -1, -1, -1, -1, 641158977, -1, -1, -1, 160266704, 343437132, 513156850, 38545387, 493258782, 888551705, -1, 772302071, -1, 731865951, -1, 157751328, 377678857, -1, 146300365, 764291533, 666779315, 591668905, 812897182, 55692371, 50001552, -1, 335431986, -1, -1, 21161066, -1, -1, 765614179, 90045362, 859375138, -1, 537803282, 116117165, 356469009, 964328775, -1, 815639360, 430246599, -1, 471741107, -1, 19084751, 795965433, 830605634, -1, 406288232, -1, -1, -1, -1, 609048546, -1, -1, -1, 717888278, 87468387, 733796278, 948901769, 976435531, -1, 467349286, 918672709, 734859769, 107393274, -1, 576876589, 325207947, -1, 538341291, 999515402, -1, -1, 940973146, -1, 682049683, -1, -1, -1, 455656298, 983582074, 397046976, -1, 511803304, 440436301, 51059867, -1, 441209374, 430374127, 79949365, -1, 956141601, 382621770, 423070292, 739004855, 784839530, 458226621, 808868292, -1, 944940834, 810890784, -1, 491449662, 529670566, -1, 869222750, 978553759, 626865806, 394597380, 533160804, 212679085, 15807428, 183911217, 463368720, -1, 585414373, 461600345, 246217053, 154393743, 679173006, 474505819, 611880010, 727417513, -1, -1, 378018515, -1, 135788977, 892854727, 76409315, 375501609, -1, -1, 482660396, 414327258, 744336837, 571949339, 551291853, 330583323, 46116727, 827545357, 622570975, 740801392, -1, -1, 863487256, 92111110, -1, -1, 672446296, 639339508, 390078217, -1, 948572324, 362785715, 972095989, -1, 100290460, 157611339, 179737707, 798602166, 42283208, 547479349, 86375404, 457274547, 900943033, 600004799, -1, 702784625, 823545987, 646817139, 406091381, 767820508, -1, 410887497, 3600581, 932645680, 832491508, 102644226, 18951162, 912439016, 961538241, -1, 886489714, 412084578, 183794148, -1, 439297755, 760785853, 912053889, 649725454, 70847708, 335113243, 511617053, 90241939, 715135185, 566352059, 913201436, 288419044, 834745038, 521255692, 952280870, 847649037, 805630322, 537894097, 473197108, 192900983, 696376935, 493405992, -1, -1, 225883674, -1, -1, 85471504, -1, 914180559, 242694836, 559119932, -1, 132799723, 983495367, 139086044, 900468723, 648632251, 906431466, 914963874, 443514439, 493701667, 892294926, -1, 495978990, -1, 97756946, -1, 116060501, 876109783, 116788187, -1, -1, 829662210, 410120649, 979513372, -1, 41771213, 329841271, 710350110, -1, -1, -1, 821853127, 660091572, -1, 236048219, 165906935, 963852438, 903520244, 499219006, 174658664, -1, -1, 370227381, 969386121, 930583383, 759862189, 167951621, 265068492, 610040726, -1, 854386732, 655708548, 145024223, 353780645, 480649302, 424125365, 325203374, 848630484, 480807639, 437850494, 61271963, 600979590, 825180041, -1, 70726488, 741085344, 76313505, 739594722, 423044399, -1, 903862355, 934620292, 434965458, 4213170, 835222781, 937078877, 809047862, 943834848, 237264263, 774251690, 732735922, 578333754, 281308226, 460933511, -1, 653062348, 619544011, 300273651, -1, -1, 167220267, 804657460, 845777391, 587350267, -1, 856574621, 865078689, -1, 262075364, 778353440, 679332011, 201214243, 922479787, 37748520, 817448084, 723908835, -1, -1, -1, 960672810, 28441500, 959059937, 76929146, 383863496, 520844475, 872752016, -1, 670361638, 989575133, 536772521, 976154760, 981890615, 865093172, 13629884, 267814931, -1, 28727570, 837336365, -1, 356537223, -1, 671764515, 147903395, 619105241, 8298003, 873842236, 923531276, 927881091, 705586372, -1, 702750387, 743939053, 620263743, -1, 76724247, -1, -1, 939718608, 39261677, 746073317, 439586954, 732338154, -1, -1, 381581100, 42157453, -1, 982494876, 771133704, 786932306, 409481168, -1, -1, 484168081, -1, 672421877, 546212678, -1, -1, 629823963, -1, 502048312, 651378825, -1, 554672248, 601559596, -1, -1, 91042126, 460280881, 365465987, -1, 264791345, 843049742, 501574140, 763154400, 667571535, 846635840, 35779933, -1, -1, 737350680, -1, 663511225, 377662840, 178789725, 500436304, -1, -1, -1, 625167642, 686849671, -1, -1, 532755838, 497614471, 878666311, -1, -1, 110604064, 23205022, -1, -1, 480754646, 900235140, 960864937, -1, -1, -1, -1, -1, -1, 565345381, -1, 130286754, -1, -1, 791106875, -1, 846471629, 416307641, 438349697, 382903956, -1, -1, -1, 864498877, 701928862, -1, -1, 286850639, -1, 410042727, 728423940, 935027694, 801687826, -1, 371188685, 357845877, 161479685, -1, 891721430, 408944855, 212957848, -1, 411968304, 987197380, 860710914, 286717851, 789961208, 431013850, -1, 471162085, -1, 48756733, 432414193, 840276885, 53515272, 97858082, 936003074, -1, -1, -1, 793116278, 7894171, 928071534, -1, -1, 701281659, 499417366, 205648532, -1, 193031537, 790873038, 606057151, -1, 861444721, 530406674, 128847764, 429469504, 146623841, 319510203, 996731743, 869685848, -1, -1, 724525775, 685933781, 693641238, 5892074, 484457976, 814168676, -1, -1, 83395686, 183380715, 713208201, 273130163, 329568796, 681658043, -1, -1, 508694914, 965798184, 702111733, -1, 300445708, 744264788, 969398954, 442775262, -1, 797457902, 973908777, 515390626, -1, 714427791, 680803568, -1, 586558865, -1, 114757396, -1, -1, -1, 266798357, 410422411, -1, 621918272, -1, -1, -1, 569595076, -1, -1, -1, 123144051, -1, -1, 240024832, 456948839, 39774860, 583997013, 171644142, -1, 681692073, -1, 721131788, 747356450, 310057921, 743772341, 162106413, 970900244, -1, 344533800, 577056215, 458576043, 339383638, 881975296, 650649769, -1, -1, 568295518, -1, -1, 323506251, -1, 683195053, 74415731, 354592455, 534162749, -1, -1, 459222790, 877411336, 753935260, 396606444, -1, -1, 903329350, -1, 647604729, 633225538, 548758826, 445676331, -1, 869986048, 598783203, 763705130, -1, 539566169, -1, 785093547, -1, 61581282, 435000749, 35294759, -1, 881653788, -1, 938589322, 123765132, 454708966, 266262724, -1, -1, 561502535, 588153040, 300575794, 837152465, 607365981, -1, -1, -1, 144573427, 116552983, 844535642, 627390166, -1, -1, 279071960, 705392265, 713855401, -1, -1, 273511945, -1, -1, -1, -1, -1, 405095202, 382873415, -1, 528725135, 248429422, 486511338, 635858880, 127782103, 488005445, 894127210, 438312844, 875290416, 180782775, 303114803, 858156236, 475443451, 438356142, -1, 403194468, 993320694, -1, 178773970, -1, 439471868, -1, -1, 559084047, 385347839, 262560697, -1, -1, -1, -1, -1, 323626462, 188873254, 742713182, 183321727, 524353659, 505340556, -1, 207580599, 992456818, 787838564, 64922590, 73784923, -1, -1, 229013845, 570683596, -1, 526861867, 937804045, -1, 714544433, 860741308, 886694903, 367498060, -1, 679994594, 997668078, 947257582, 591150227, 445081891, 240340439, 868340849, 261185463, -1, 756756315, 75309539, -1, -1, -1, 193512544, 566374711, -1, -1, 409668507, 846948774, 132942134, -1, -1, 344618662, -1, 332409108, -1, 772158161, 805093170, 240524578, 855428002, 314210555, -1, 362415293, 948952951, 105617543, -1, 545002160, 183677641, 656576633, 843601358, 738376122, 131735429, -1, -1, 548789532, 407644224, 857492957, 777233656, -1, 616650342, -1, 786776278, 666175428, -1, 610536327, 787704511, 753630594, 473608853, 507887505, 64381243, 186615480, -1, -1, 42085742, 912945010, -1, 410225541, 531679154, 766690854, -1, -1, 139021528, 614191494, -1, 326526443, 560461191, 472630342, 33277899, 534969152, 611405308, 558340357, 595166578, -1, 960293378, 587078587, -1, 261223439, 288198552, 254161614, 164461691, -1, 368801616, -1, -1, 710733435, 977986876, 741954281, 744503450, 161832162, 58373356, -1, 959896791, -1, -1, 177470778, -1, 426052477, 159488318, 377628111, 625249366, 317897597, -1, 550325719, 491758075, -1, -1, 628623682, 301323567, 191112965, 569294650, 573192155, 675503398, 215388696, 221408100, 904420208, -1, 907072069, -1, 446950454, -1, 676425036, 204533282, -1, 858261813, 361077952, 305692872, 938707786, 219852434, -1, 294496330, 751572432, -1, -1, 541165128, 926824213, 283270039, -1, 622566761, -1, -1, 207569483, 633667118, -1, -1, -1, -1, 103040372, 212523245, -1, 996957784, 254975418, 254941862, -1, -1, 801193235, 626661054, -1, 661853235, 721101529, 753222440, 202257776, 11828887, 362341485, -1, -1, 739925612, -1, 715859121, -1, -1, 896065324, 1604321, 633253003, -1, -1, 603046771, 50078866, 934923873, 903918679, -1, -1, -1, 860546361, 718293691, 342214333, 949959558, -1, 824169450, -1, 757544204, 186392112, 564404980, -1, 281834770, 779010851, 608020337, 538708493, 609899756, 478372388, 724518603, -1, 57560410, 332776876, 445664450, 442025521, 14706812, 302991340, -1, 571734484, 856565272, 687836869, 839742321, 849741858, 517767005, -1, 996134866, 397878221, 96937416, -1, 865766946, 6217035, 904860516, 680453665, -1, -1, 769257684, 953809702, -1, -1, -1, 387312378, 3869544, 311324378, 829977267, -1, 786824136, 814954454, 927231093, -1, 315524804, -1, -1, 776052514, 246238978, 259233352, 625240458, -1, 926594961, -1, 697248636, -1, 874785045, 155957154, 464995508, -1, 289740793, -1, 470013665, -1, -1, -1, 234269973, 104456111, -1, 772142898, -1, -1, 733928533, -1, -1, 541365815, 280236154, 525307035, 76033688, 575773344, 602000531, 405376898, 99037411, 254140279, -1, 839208907, -1, 287262307, 200279415, 460246341, 616168911, 97290539, 527120587, 312495749, -1, 705993031, 402018492, 298693142, 980407690, -1, -1, 942900055, 243666443, -1, 190827226, 634404893, 976563685, 194448845, -1, 795739813, 475531282, 73923722, 773228901, -1, 993365643, -1, -1, -1, 223777284, -1, 412096265, 465913723, 324621269, 774633015, 295998979, 830289444, 791173456, -1, -1, -1, -1, 359322664, 242048848, -1, -1, 826329325, 163625791, 529108989, 318914879, 900253478, 851515397, 419181879, -1, -1, -1, 304876063, 751778022, 391339607, -1, -1, 805783696, 998518442, 754674458, 277899392, 161860684, 687662033, -1, 321949517, 725954668, 694849737, 35039648, 888250319, 640100331, 724613984, 197900957, -1, 630583511, -1, 977093199, 293756349, 847963729, -1, 939474289, 200777845, -1, -1, -1, 474533048, -1, 558425244, 437949172, 500394215, 343830999, 846897733, -1, 216328524, -1, -1, 825316051, 685920225, -1, 969318362, 301631292, 409705345, 153285410, -1, 762829350, 402296742, 839861288, -1, 830561446, 233973487, 596581609, 316330085, -1, 430609745, -1, 828843828, 122090271, 374392098, 623916945, 57321235, 802133077, 240471344, -1, 90334911, -1, 762364552, 596801864, -1, 380321120, 530282189, 366478762, -1, 97668573, 290418866, -1, -1, 55625416, 122429619, 106821711, -1, 969513274, 729010195, 264932788, -1, -1, 598819655, 459588127, 481723038, -1, 367945147, 233532329, 2346345, -1, 817220364, 373671775, 946608379, -1, -1, 191966012, 821832440, -1, 350837142, 965080999, 657179932, 677433711, 856122019, -1, 464512430, -1, -1, 368129847, 18576338, -1, -1, 948500136, -1, 950963429, 526543088, 8072949, -1, -1, -1, 274116055, -1, 382890487, 811737616, 810008501, -1, -1, 879482554, 246292745, -1, -1, 992237530, 334513709, 723681396, 522186828, 936895468, 864600841, 273211091, 182751240, 989434755, 658420882, -1, 303334653, 856672079, -1, 844974094, 472388348, -1, -1, 363311169, -1, 953654124, 313623839, -1, -1, -1, -1, 32852675, 533747700, 215890393, 829542516, 151220804, 830965166, 810742296, 498036238, -1, -1, 526607197, -1, 649761015, 585020497, -1, 84604335, 870602508, -1, 107301468, 148284268, 14148230, 41883322, 874916684, 408607392, 856798832, -1, 647216406, -1, 168768763, 18367716, -1, 960155730, -1, 654210048, 239000407, 846256115, 551577631, -1, 752834728, 244697890, 41264317, 84764037, 827327423, 181061253, 56396194, -1, 258436924, -1, -1, 970246952, 361235933, 201437423, 252709858, 972346063, 23341304, 487310952, 693705096, -1, -1, 352985814, 875699291, 632059112, 230486387, 771956345, 526594826, -1, 150830369, 628571012, -1, 196151030, 34254726, -1, 667327556, 397313633, 248707350, -1, 159976634, 596678807, -1, -1, -1, 718163300, 682855756, 73169202, 791771150, 857815212, 476289140, 400776729, 427553314, 606094464, 317788362, 179905244, 703253347, 85072645, -1, -1, 384385412, 954599081, 59809480, -1, 714841379, -1, -1, -1, 987044892, 441029644, 843133916, -1, 428533408, 964900552, -1, 839969368, 110309081, 853846083, 180028172, -1, -1, 82531262, -1, -1, 557741999, 33314467, -1, 28681824, 219133370, -1, 108406736, 783521385, -1, 191457452, 841741590, 693446281, 845185423, 643662021, 428374182, 922875529, 484902699, 214373882, 52404352, 221643004, -1, -1, 795073304, 365135469, 960402049, -1, 736420936, -1, 670613991, -1, -1, 609145600, 495476627, 142849132, 941590006, 195156387, -1, -1, 758306329, -1, -1, 913841047, -1, 896426784, -1, 136191597, 710087233, 194628489, 5917847, 137320622, 431441280, 886169025, 607260081, 559596809, -1, 260565736, 198426731, -1, 426946476, 833799906, 186905253, 199602604, 405865926, 639898454, 315251120, 160722357, -1, -1, 960416287, -1, 79021617, -1, 27296944, 552836181, 383459179, 523951162, 450009504, 34579571, 383828303, 309229236, 829914456, 702906843, -1, 188580685, 703392201, 506792397, -1, -1, 272371475, 992260581, -1, 214022366, 73348755, 897052796, 126884457, 478178781, 181464736, 31805705, 579832552, 793843260, -1, 318209110, -1, 80405781, 98908946, 657324144, 694225443, 465114906, -1, 482192581, 348658413, -1, -1, -1, 793877516, -1, 997546821, 945260929, 365768, -1, 682935205, -1, 979319212, 411286661, 111381769, 401530811, 818426937, 954653989, 810811609, 855495760, 139560374, 426780844, -1, 792724098, 919484475, 763492636, -1, -1, 875506437, 655173768, 664699366, -1, -1, 941750017, 215625016, -1, 688103564, -1, 812677933, 646727052, 652451368, -1, -1, 82337415, 105487278, -1, 361152766, 755060536, 792607288, -1, 328606669, 170621299, -1, 581839547, 247223400, -1, -1, 403085100, 234942214, -1, 517517301, 770940046, 771435804, -1, 821642392, 948932108, 622609915, -1, 585467406, 272224723, 458487536, 784074852, -1, -1, 445226198, -1, 103318339, 93860675, -1, -1, 965422422, 294354798, -1, 486070953, 676111763, -1, 221579527, 83569120, 514531037, -1, -1, -1, -1, -1, 884738985, 883919253, 768156492, 36393626, 786906717, 261599674, -1, 630620319, 255239351, 657297155, -1, 640299048, 997193325, 848408572, -1, 51942582, 168148847, 755429571, -1, 525993377, 21126423, -1, 240735266, -1, 57631895, -1, 151764276, 499802875, -1, 231149534, -1, 159059109, 711748183, 859687495, 421710003, 708325930, -1, 726801965, -1, 67646312, 410195901, -1, 702849001, 811602963, 9500977, 498298159, -1, -1, 583035382, 288498209, 575880007, -1, 450361896, -1, 926921385, 744762928, 325795585, 610673144, 664230976, -1, 883701805, 185610964, 459271175, 705588981, 373304249, -1, 873988890, -1, 997897709, 950496620, -1, 583167962, 95146891, 907350007, 727503371, -1, 691926937, 897923915, 377937234, 63374810, 217867724, 812796158, 3084791, 416228838, 386792604, 539226666, 642040684, 486868731, -1, -1, 580224913, -1, -1, 768372389, 372730958, 749809919, -1, 394007474, 900121693, 215858064, 92095421, -1, -1, 771343360, -1, -1, 162713641, -1, 906660252, 309013779, 277531233, 437805426, 898868733, -1, 563057737, -1, -1, 556059701, 545337825, 238901366, -1, 11346159, -1, 254770515, 286982505, -1, 810720251, -1, 975313048, -1, 200460527, -1, -1, 65120954, -1, 726224757, -1, 565348371, 739257956, 298989477, -1, 732665166, 658647784, 138141145, 881044998, 984066749, 114838675, -1, 576468926, 884944573, 778566129, 390701312, 556366494, 477044391, 219405211, 859292339, 792162431, -1, -1, 350268228, 239542944, 297778469, -1, -1, 817870801, 679567953, -1, 381278297, -1, -1, 127121313, 157570934, 681796463, 724088810, 353647998, 515953542, -1, 721134582, -1, 585002457, 493630488, 248161267, -1, 201823149, 660429162, 3956882, 477364382, -1, -1, 582487575, 981363485, -1, -1, 533499373, 342227921, 352885523, 556869386, 897071829, 325853615, 661368152, 202845743, 605963196, 934989684, 553134290, 198545576, 141444339, 511942235, 272151443, 305102859, -1, 552706336, 635331713, -1, 514532939, 595390873, 513231346, -1, 363250178, 448849846, -1, 5660082, 206291075, 948866319, 282040679, 927913628, 948140154, 538910811, 594512966, 135962935, 485314915, 948684835, -1, 983131462, 104262377, 929699114, 358205217, -1, 634091375, -1, 230748766, 130304260, -1, 602183386, 25363086, 934757389, -1, 812159726, 677665442, 221972324, 953563587, -1, -1, 10880195, -1, 432301595, 939864650, 614799400, 711024032, -1, -1, 50113979, 740589196, -1, 857906515, -1, 919459733, -1, 286213555, -1, -1, 259582650, -1, -1, 255166503, 17970741, -1, 260125061, 738751585, 128653213, -1, 203247404, -1, 575382669, 598374766, 334451390, 623576759, 84203197, 710050417, 106080928, 446984413, 825793926, -1, -1, -1, 373772178, 919742074, -1, 553510221, 939900353, 609325014, -1, -1, 39764668, 258580578, 495955125, -1, 271091498, 903187454, 803118145, -1, 596232201, 323726955, -1, -1, -1, -1, 106980792, 854227236, 67525136, -1, -1, -1, 780798861, 738093406, 466607406, 921340338, 953865785, 325921227, 561573829, 557165762, 783655126, 281799561, 399247610, 734163948, -1, -1, 320554931, 202293325, 468531321, -1, 481633585, -1, -1, -1, -1, 799484679, -1, 146290702, 158178823, 839250219, 597055702, 343347054, 371994800, 811244017, 974458123, 198471278, -1, 628009027, 106560128, -1, 451724494, -1, -1, 730792575, 651317205, 7987489, -1, -1, -1, 792705355, -1, 203025058, -1, 860396102, -1, 131243610, 316433228, -1, 840881894, 999484377, 210232365, 935464756, 255991167, 870630519, -1, 946312950, 500559362, 403211846, 434007286, 137920366, 619162718, -1, 678281447, 439239792, 701550473, 927593165, 830992002, 457718098, 949378998, 344616539, 884980064, 825393250, 67183253, 175796488, 792849871, -1, 829645391, 537110453, 545238090, 665369956, 778584328, -1, -1, 286778509, -1, -1, 946634952, 59051886, 214848659, -1, -1, 744455902, -1, 105047386, -1, -1, -1, 87250913, -1, 894396505, 162809035, 770282835, -1, -1, 986789285, -1, -1, -1, 733547186, 63693075, 569720766, -1, -1, -1, 73085609, 606723121, -1, -1, 406822940, 945961776, 191071827, -1, -1, 159669276, 942454646, 599195490, 814874608, -1, 993879922, -1, 404482492, 731432542, 448941509, 124527187, 91347442, 3136015, 615416068, -1, -1, -1, -1, 937759734, 862146667, -1, -1, 451437438, 702962529, 787754930, 897589470, -1, -1, -1, 751360572, 691595449, -1, 463516400, 296558306, 143045223, 845461617, -1, 901308743, 369150923, -1, 211369662, -1, 381420453, 143499513, 341018130, 440537299, 373317402, 545722394, 930626284, 108140790, -1, 741242520, 75179873, 171177966, 901063701, -1, 876047709, 373601578, 5248608, 507370146, 677431148, 17724312, 771793637, 284667775, 626386361, -1, 777277748, 322506387, 729919907, -1, -1, 768368872, -1, 92925297, -1, 401896718, -1, 770362158, -1, -1, 55754874, 334029039, -1, 165195079, -1, 138872682, 222660405, -1, -1, 201711114, -1, 318904283, 183402281, 893013294, 132128850, 822280967, 768527774, 920603779, -1, 58948775, 557227391, -1, 612305066, 747962950, 339962198, 748372880, 657787001, -1, 677338725, -1, 230901650, 760037230, 171473902, 509802241, 195293531, -1, 882086787, 171774526, -1, 776542237, -1, 812628991, 892145633, 820941609, -1, 145357503, 955507986, 558907680, -1, 763297039, -1, 392462773, 567510282, 729038822, 516150464, 800347011, 219803277, 207419933, -1, 902691178, -1, -1, -1, -1, 493772383, 807946430, -1, 647546840, 133673314, 722835806, -1, -1, -1, -1, 527918121, 316920732, -1, 356693258, 91717810, -1, 934447951, 786271802, 9490268, 360937544, 972335588, 602108149, -1, 733151434, 613408873, 718346760, -1, 392606387, -1, 973085058, 539860828, 2963190, 306666076, 511562610, -1, 460276636, 354587940, -1, 794597065, 492036979, 452468749, 315663282, 745715704, 931009965, 839217335, -1, 549176938, 408204055, 690963959, 736860280, 506957276, -1, 962534784, 567273968, 992186471, 358299359, -1, 178424595, -1, 959214405, 461664958, 600845897, -1, 392054573, 439774363, -1, 567531369, 311027381, 32986834, -1, 514989192, 268509265, -1, -1, 126015433, -1, 34105469, 397244134, 819022786, 409175691, 624606853, -1, -1, -1, 912056144, 30618281, 194875895, -1, 841802607, -1, 185169742, 33020945, 353820620, 34038925, 426229688, 169617765, -1, 229202216, 316582666, 681295632, 395531048, 238447442, 371300829, 997400876, 806531567, 583127733, 482635129, 309786461, 756992398, 515349804, 300895275, 811790787, -1, 136487415, -1, 164006968, 194854165, 118249735, 768800548, 992757175, 415755552, 455445556, 554597197, 353118093, 35665933, -1, -1, 45233851, -1, 153143290, 906117608, 427085080, 978962117, 203427652, 160571237, 188336989, -1, 935716306, 468435456, 70030024, 504002948, -1, -1, 721532541, 519897319, 497379488, 763744152, 265231596, 316574745, 681360619, 346659707, 487258063, 233772952, 637291307, 522622030, -1, -1, 910660752, 709594102, -1, 257976763, 753847881, 744025074, 372222864, 702266075, 572168886, 990479614, -1, 139665897, 572682141, 807153581, 531496676, 219003048, 372515288, -1, 554752211, 735982211, 630369242, 471812686, 233993198, 447608498, -1, 45737068, 312083414, 693783465, -1, 858245211, 163796834, -1, 358963947, -1, 724341697, 527399602, -1, 881887950, -1, 934901631, 413915803, 139159644, 851310185, 457811862, 307759495, 651522188, 199291987, -1, -1, 434734832, 473948589, 113639821, 910275080, -1, -1, 153686539, 814471987, -1, 393928392, 952685972, -1, -1, 176254049, 392679437, 819406373, 358718469, 354910706, 827215976, 392354231, 90173930, 609995857, 547380760, -1, -1, 83441635, 765124504, 312537713, 668200471, -1, 93023925, 716993851, -1, -1, 777959046, 172269642, 487620029, -1, 205346276, 938721892, 732306, 842315859, -1, 178115473, -1, 1913314, -1, -1, 752401682, 635212533, 397800251, -1, 666572734, 538331858, 63939506, 840153822, 498015730, 381577048, 673057730, 701942478, 50815509, -1, 99406263, 672854451, 542198708, 874729614, -1, -1, 727894426, 12580768, 387625096, 181902794, -1, 809754117, 963782361, -1, -1, 861616132, 715212853, 401151400, -1, 935624147, -1, -1, 116474350, -1, 167195808, -1, 149429567, 12811036, 92852254, 276236348, 524552379, 244010389, -1, 685773395, -1, 859916829, 851653182, -1, 387981211, -1, 62336912, 44432896, 199388528, 254076858, 951441686, 618784547, 309132522, 495984301, 460458264, 989289707, 801853712, 383122308, 401190353, 231314953, -1, -1, 123268288, 952056171, -1, -1, 991061412, 362568410, 454488650, -1, -1, 501770891, 341305259, -1, 95315379, 71584252, -1, -1, 44845499, 228972755, 336938950, 426475453, 644275057, 393879019, 227380995, 417084802, 263469363, -1, -1, 643438467, -1, -1, 856111077, 655020348, 93146964, -1, 9626633, 891569732, 559625461, 514264830, 323234671, 134478702, 413358508, -1, 56409236, 472855387, -1, 265889182, -1, -1, -1, 209672484, -1, -1, 688925848, 807689235, -1, 993019606, 207158139, -1, 825633115, 535951883, 434294493, -1, 958291255, -1, 674309442, -1, 428360897, 162147093, -1, -1, 327134561, 699064000, -1, 734663943, 261859380, 668671863, 491040353, -1, 321870398, 824634913, -1, 874991786, 272020994, 855761639, 684777460, -1, 3481883, 15229178, 796185247, 693903581, 369202326, 811225540, 220346829, 459885032, -1, 223259846, 657390723, -1, 696154631, -1, 785367415, 35600199, -1, 104397556, -1, 451295560, 868037487, 443579598, 88717346, 753570840, 436531667, 548253397, -1, -1, 286750488, -1, -1, 717046298, 259432283, 292903519, 487868921, 322697572, 416348218, 430020556, 592177847, 335795891, 869738217, -1, -1, -1, 112866706, 530508234, 392289888, 461160066, 889065788, 628960847, 453137775, -1, 142648120, 616994971, 5920775, 327060546, 48807592, -1, 606601126, 224496089, 22084932, 99479701, -1, -1, 879903728, 626680601, 238810052, -1, 780215329, 519655222, 15921326, 462423665, -1, 228146000, 576488553, 875331705, 356532234, 604145782, -1, 239360610, 485680874, -1, 526960762, 37459765, 474540700, -1, 173239851, 65384568, 8764175, 219404299, 454571165, 81210886, 57083059, -1, 653970187, 95553718, -1, 972463156, 542828550, -1, 719691604, 739710698, 368223392, -1, 735234898, 464136934, -1, 458465478, 67221959, 260825599, 185160289, 171775345, 785250481, 302810886, -1, 705716890, 2045879, 339975771, -1, -1, 430630738, 928293759, 844030234, -1, 194362441, -1, 966176199, 581609674, 243601594, 57463166, -1, 945540362, 452263251, -1, 57837538, 324905740, 246596990, -1, 695226189, 20223583, -1, 384827745, 185663230, -1, 825969264, -1, -1, 332361946, 710360986, 655535073, -1, 168476218, 881227569, -1, -1, 617063073, 121894517, -1, 858042587, 490803849, 32034650, -1, -1, -1, 297496736, 960399334, 353763108, -1, 360658894, 575826157, 838230412, 404123028, 838669577, 77054282, 899919712, 722126729, 759421168, 966643581, 332970537, 640827396, 495487116, 170105998, -1, 233741097, 424766732, 851871486, -1, 660539053, 888946905, 453079733, -1, 922181935, -1, 456417145, -1, 273102016, 475447246, 706097166, 72140004, -1, -1, -1, 317605389, 979909032, -1, 5280484, 304931565, -1, 700785288, 407728745, 337749443, 206090363, 221179685, 547332357, -1, -1, 842643277, -1, 880784309, -1, 398754447, 860325561, 232428211, 725788480, 468398518, -1, -1, 549657756, 477212622, 131851597, 616331345, 141512605, 158507659, 343192874, 73675035, 902535064, 314066377, -1, 773010885, 41859593, 206923550, 495713540, 42215172, 504187591, -1, 358273862, -1, 766085465, -1, -1, 555573180, 455773403, 367571105, 76973056, 317883086, 865142301, -1, 416377877, 83930287, 567067693, 318582643, -1, -1, 406930361, 228037477, 681017266, 954656103, 141090544, -1, 351784330, 553714021, -1, 611639626, 555955202, 621874056, 6168389, 680109401, 382735963, 598927214, 438022502, 185978737, -1, 836404218, -1, 320493271, 647091664, 432272050, 415537296, 85608455, 421311324, 96513776, 209493949, 14160665, 765180212, 238278259, 857487520, -1, -1, -1, 563120103, 475587693, 294307998, 574351505, 354729300, 472104471, 87348167, 593505754, 623520445, -1, -1, 235148207, 381177945, 561980594, 734958169, 939083527, 117272488, -1, -1, 280372038, -1, -1, 284521685, -1, -1, -1, 56395973, 757070398, 113893708, 499151342, 343335988, 29768295, 333042385, 446047813, 32308384, 702142725, -1, -1, -1, 122536791, 193299813, 95982411, -1, 731588080, 233993828, 888112608, 240817312, 712688674, 817427404, 153413988, 886414657, 539201167, 539916019, 933778550, 720317178, 29664317, 244321794, -1, 994344211, 342303798, 856002537, -1, 839942916, 167360907, 541075116, -1, -1, -1, 436785525, -1, -1, 626845869, 873642122, 252821680, 270906827, 365788785, -1, -1, -1, 50301613, 757087950, 265729873, -1, -1, 963618824, -1, 297862418, -1, 659293385, -1, 703485869, 146810542, 480977031, -1, -1, 827861548, -1, -1, 826686475, 872878813, 583489140, 539724166, 198586148, -1, -1, 548039009, 998960351, 65020436, 765190683, 49031739, 573624543, 247796834, -1, -1, 792831015, -1, 251580419, 565246552, 442097469, 365723466, 740672933, 859176279, 26848079, 297116504, 469402017, 283817754, -1, 94337146, 125826654, 163934276, 774483807, 646536630, 423334515, 210963026, -1, 746201752, 955259221, -1, -1, 764661169, 366686340, -1, 705199091, 341907529, 211060893, 693837925, 121077323, 328523218, 624156467, 971570306, -1, 464049404, 334347882, 897853161, 243112996, -1, 145172162, 720500229, -1, 200656110, 36627141, 581679005, -1, -1, 534760596, 584144568, 916576544, 796223550, 318862494, 329381909, -1, 962769806, 117021370, -1, 901724741, 520353709, -1, 547089021, -1, 412844677, 816031142, 627619204, 270608870, 110537351, 853208863, 274772553, -1, -1, -1, 805397095, 93640317, 68782857, 278772233, 334406620, 292698413, 404433397, 902494665, 326412483, -1, 503236039, 757540648, 686908190, 343962153, -1, -1, 370545952, 70283442, 873272763, -1, 888278504, 352987140, 112299580, 104113826, 981243494, 994289618, 523882314, 376683978, 723429219, -1, -1, 410845872, 417503068, 179303922, -1, 164372791, 52960983, 69097170, 344166034, -1, 374397501, 610429644, -1, 584640686, -1, 296172645, 445808502, 701804444, 691657019, -1, 666347154, -1, 656422260, 294295714, -1, 101176617, 364028439, 508841334, 819660482, -1, 993271586, 922319644, 584640117, 225862871, 260802091, 664346869, 104191035, -1, -1, 791117338, 288036416, -1, 337933457, 506416492, -1, 709147465, 482226711, 992614307, 308787915, 849327452, 746495067, -1, 632499889, -1, 73791796, -1, 996604474, 39240273, 305873733, -1, 587129965, -1, 458506186, 5555292, -1, 659078478, -1, 793289366, 898229506, -1, -1, 992777552, 393132393, 667884074, -1, 282552034, 374063220, -1, -1, 243286591, 642015790, 467666287, 372213719, 97681371, 979135844, 587883492, 74614416, -1, 390122705, 413890776, -1, -1, -1, 525926512, 676181199, 115453456, -1, 621704705, 787832533, 284734896, -1, 327494435, -1, 898917960, -1, -1, 90203119, -1, 33400776, 687992861, 227848165, -1, -1, 934362308, -1, -1, -1, -1, 763880825, 429457948, 109074823, 81652778, -1, -1, 199999163, 435574280, 955123260, -1, 276010620, -1, 192519846, -1, -1, 696102116, 262099895, 282049458, -1, 66988311, -1, -1, 112837549, 591472936, 188234840, 464668918, -1, 591083549, 331557076, -1, 350079875, 92385543, -1, -1, -1, -1, 650425767, 465525863, 98113844, 78389569, 988597145, 981604715, -1, 607747677, 786416510, 904993556, 982157819, -1, 512086444, 337235761, 662585811, -1, 936428928, 905392550, 55505020, -1, 333247435, -1, -1, 718523457, 904239554, 100336654, 907372128, 68318702, -1, 905663936, 908685713, 188889976, 344433692, 54090288, 51087780, 149607446, 821379387, -1, 563036111, 90097893, -1, 4408276, 505097532, 97438873, -1, 407719111, 284058295, -1, 547551133, -1, 762087316, 291083445, -1, -1, -1, 929588992, 633856453, 239905062, 30772957, 120029706, 700120508, 443924186, 362063257, 878358605, 12930062, 491562155, 680467793, -1, 379736319, 166799049, -1, 364542284, 68365893, 567312964, 232271243, 876337483, 397558972, 631432216, -1, 547460097, 888383654, -1, 550744581, 418040726, 591601771, 5580543, 183967063, 459106243, 416118297, -1, 959856001, -1, 484534519, 777704813, 964952374, 800663364, 95488977, 729756198, 536816877, 128861079, 775548088, 785989091, 760589453, -1, -1, 28730014, 898853232, 823873793, 643496670, 577866048, 331394937, 784533041, 742241821, 711064727, 272125567, 664944968, -1, 722702681, 280006477, 958367932, 157743199, 205480542, 523249222, -1, 114274883, 323198475, 500786727, 844745945, 352443945, -1, 960873521, -1, 163127007, 527354844, 799807438, 944144107, 643507567, 826948858, 121124793, 487443122, -1, 127812770, -1, -1, -1, 680103457, 342555853, 242291511, 919372096, 196161943, 117101961, 629425451, 385902815, 583185754, 560672453, 556283029, 637570905, 197612943, 856428130, -1, -1, 386310653, -1, -1, -1, 457991744, 489473789, -1, 310992946, 328820023, 488897424, -1, -1, 353319517, -1, -1, 735955196, 400226210, 645110695, 429006051, 99899404, 832073733, 446660974, -1, 665915634, -1, -1, -1, -1, -1, -1, 732751948, -1, -1, 134708641, 204433335, 825828487, 840294573, 355915645, 38309803, 188967370, 218928401, 505941239, 2250156, 867438072, -1, 74018210, -1, 238040815, 353670836, 124462581, -1, 445447189, -1, -1, 426332545, -1, 400132284, 213385359, -1, 824866823, -1, 704044288, 417554251, 503601368, 790670771, -1, -1, 724120270, 857957937, 561426449, 43175344, -1, 302278067, 61723068, -1, 834723187, -1, 416223924, 913797344, -1, -1, 812498942, 105351019, 470035717, 68148312, 722963685, 481110436, -1, 101814342, 831708449, 158959218, 823198160, -1, 888697575, 295474161, 663615563, 947364568, 559153190, 233061480, 318019947, 829432989, -1, -1, 843179466, 769897734, 389624729, 669816040, 219610252, -1, 188569697, 674880886, 406423490, -1, 965297605, 8065358, 349316188, 379432090, -1, 381427396, 588851455, -1, 64197068, -1, -1, 403887440, 49939343, 601416321, 544773101, 730653558, 623723832, 937708988, -1, 229616674, -1, -1, 678525628, -1, 608165891, 660431276, 298988587, 467562094, 846237043, -1, -1, 499471207, 984170141, 887996768, 488155878, 91228505, -1, -1, 908576695, 990333815, 257963191, -1, -1, 67967796, 140876750, -1, -1, -1, 833701467, 109829165, 82768593, -1, -1, 823777801, -1, 970262353, 676868024, 952729219, -1, 608867950, 745186806, 583029349, 407143518, -1, 867101968, 227436093, 564436015, -1, 924269902, 478236760, 750810386, 253116243, -1, 570360806, 806589048, -1, 371478135, 958264744, 177400422, -1, -1, 669992361, 86460418, -1, -1, 881045100, 20777623, 940669499, 993620867, -1, -1, 678965509, -1, -1, 76110915, 731394088, 614015395, 576364112, 444055201, -1, -1, 941783712, 816766039, -1, 224999757, 181320703, -1, 711804168, 63735115, 731461515, 843140932, 124530146, 493570295, -1, 886320511, 903323176, 309896730, 544761883, 658114718, 250387365, 8345280, 695990404, 905583927, 83092920, 631292157, -1, -1, 881960185, -1, 731154383, -1, -1, 93231960, 478488327, 505394730, 956053760, 92411347, -1, -1, 210646901, -1, 984231538, 219325689, -1, -1, -1, 585333429, -1, 457739684, 997146002, -1, -1, 937149382, -1, 214008607, 861215208, -1, 133528441, 268372592, 617482902, 452327173, 706272397, 547991315, 629126288, 305111866, 294554653, 687934704, 196959020, 725477353, 882703839, -1, 374347025, 682051336, 254483568, 240687205, 871817308, -1, -1, 254529621, 265108046, 491718045, 236816525, 250563153, -1, -1, 500587222, 400573396, 906663091, 500411297, 778246627, -1, 344760716, -1, 709758027, 631783571, 215684887, 25037186, 225617418, 528031805, 432735582, 101125533, 354242659, 205442152, -1, 28203305, 794738087, 301514244, 371331216, 56559108, -1, 518178398, 821179267, -1, 77871274, 851561180, 801577108, 324471364, 149456366, -1, -1, 294544114, 898580679, 168929202, -1, 215705645, -1, 213834743, 993857, 119567130, 653770358, 863111921, 447092044, 163277373, 535102899, 529844904, 789530917, 749305020, -1, -1, 587629403, 498717378, 551337638, 134264254, 280433513, 570380048, -1, 390406858, 863396994, 134708168, 54765186, 701383503, -1, 988615450, 513755316, -1, 121108925, -1, 936032691, 533209493, 523958563, 136426205, 67837625, 352445738, 49850517, -1, -1, 922482635, 748909005, 819671092, 854730382, 346422982, 58457394, 514351013, -1, 407224873, 774680549, 36337690, 152815335, 524029719, 384955329, 789696031, 436004543, 771128934, 400681749, -1, -1, -1, -1, 14186575, 829960688, 195616820, -1, 542503929, 970344556, -1, 202934356, 648566283, 172898843, 156657739, 497079870, 975093632, -1, 488321238, 90131701, 7134790, 133817911, 109730425, 468458503, 861447, 104535428, 681979377, 21494933, 222904810, -1, 424384948, 154534761, -1, 134828173, 225322039, 503638672, -1, 822367357, 338050309, -1, -1, 977911837, 247082791, 101075770, 938247055, 491768477, 21779567, 30983546, 793841907, -1, 176630740, -1, 11488079, 148467893, -1, -1, 342218334, -1, 105897908, 994504603, 247742387, 780206968, -1, 707488887, -1, 170790692, -1, 517159207, 98136941, 753657685, -1, 762446685, 376098922, 182483210, 155885295, 163586419, 808744478, -1, 67569023, -1, -1, 288509222, 513524814, 6857493, 523133081, -1, 477310763, -1, 167400517, 830329278, -1, 983534527, 927677748, 846359093, -1, 920010919, 237953384, 103310948, 814066111, 523004959, 98677565, 634793564, 658723640, 562098100, 421779351, 514816545, -1, 104965074, 480157020, 739545203, 449487365, 238620310, 814357517, 851958946, -1, 186238715, -1, 73467032, 876543401, -1, -1, -1, -1, -1, -1, 496322591, 224179949, 442436254, 291701569, -1, 837633735, 673527688, 994114043, 32024397, 637177020, -1, 408912004, 665713992, 490309461, 525626137, 746374873, 784477682, 452566116, -1, 762009743, 245536565, 167066036, 815500696, 998916579, 905727818, 691291313, 649519087, 996358219, -1, 294093099, 657671955, 818115771, 329446789, 662394255, -1, -1, -1, 10775674, 190109078, 716409520, -1, 833114972, 582824785, 643120466, 369339318, -1, 802166962, 101480808, 860444077, 878147754, -1, 53298948, 916078346, 937013831, -1, 145518323, -1, -1, 678796120, 238877818, 933920694, 104682078, -1, 375233907, 769548729, 361740128, 96607833, 100021250, 628061298, 872903488, -1, 17238280, 257423330, 767460095, -1, 709645859, -1, 232178182, 732062539, 257388254, 9604506, 849114215, 804382291, 118625724, -1, -1, 914119195, 823284489, 377133120, 576002389, 668564980, 269255282, 764303958, -1, 687001031, 5264955, -1, 388459652, -1, 219652312, 429337788, -1, 251785843, -1, 251979225, 950232554, 786096392, -1, -1, 156423390, 62114267, 614340404, 570551474, 834691032, 427379166, 755178276, 882562109, 557984448, 861722032, 500379257, 71382950, -1, -1, -1, -1, 204407126, 175662830, 400934037, 339925941, -1, -1, 3682351, 168543532, 647787292, 639693151, 353679649, -1, 890280043, 845949858, 370439678, -1, 401565773, 588202628, 969552144, 383763646, -1, -1, 986266632, 581564526, -1, 625605679, 319746841, 855145178, -1, 255791250, 240449257, -1, 388109530, 756857240, 921753739, 909661042, 837882149, 756797044, 206522641, 421282250, 289291059, 63145633, -1, 788323970, 320177255, -1, -1, 836948172, 302166187, -1, 906194222, -1, 68033981, 415489861, 127309621, 277432218, -1, -1, -1, 821954952, 3674535, 979954701, 406205853, -1, -1, 106576214, 374853817, -1, -1, -1, 643379609, 978067986, 536182652, 383689477, 647623068, 977044474, 769729161, 518508891, -1, 758350202, 894387653, -1, 710524640, 92267205, 438765990, 677180799, 304458300, 266640817, -1, 73214040, 103793614, 927870747, -1, 779098070, 82296012, 829834134, 924380306, -1, 181864245, 554696106, -1, -1, -1, -1, 424978728, 792398525, -1, 591298099, -1, 429824770, 261601053, 630569471, -1, 363269800, 478454664, -1, 621772113, -1, -1, 278752117, -1, -1, 68028121, -1, 381261822, 852810123, 436329269, 945820166, 769620059, 517602163, -1, 627264437, 108464791, 657727934, 410315485, -1, 888794290, 769255146, 338848485, 646954042, -1, 59811458, -1, 110756999, 697070604, 194281117, 283867409, 769715380, 107422567, 918183794, 799537425, -1, -1, 891369110, 695786235, 864857345, -1, 397044608, -1, 708759797, 723452377, 388513595, 573434621, 988255701, 696188304, -1, 609482718, 954753855, 60907516, 203611814, -1, -1, 47609229, 512653747, 419372178, -1, 654015330, 618553018, 584092487, -1, 277770598, 827219865, 241906486, -1, 391612134, 889364527, 459726846, 951205584, 821246908, -1, -1, 766777878, -1, 359497268, 38971742, 747249097, -1, -1, -1, 73119751, 990691850, 508576597, -1, 109989119, 788206909, -1, 137859719, -1, 290468915, -1, 582775651, 735454047, 221383307, 19955028, 943271557, 753616405, -1, 536379210, 969773425, 218428192, -1, 1963061, -1, -1, 738565077, -1, -1, -1, -1, 887085584, 624859146, -1, 142311974, -1, 655211575, 536067773, 860663013, -1, 534112754, 529194398, -1, 810193902, 21484648, 539881313, -1, 461420467, 159766709, -1, 605079124, 362109879, 790945273, 378493436, 252447989, -1, 636068701, 475105477, -1, 474400617, -1, 891280002, 959664755, 410279189, 365651109, -1, 976990811, 254463064, 569395796, 762782268, 333817461, 68580111, 442867523, -1, 90616409, 326978895, -1, -1, -1, -1, 159698245, 149925691, 69699788, 831520813, -1, 510892208, -1, 458568166, -1, -1, -1, 897486910, 256988838, 37415056, 48415973, 72340214, 23222518, 227442187, -1, 688056859, 743555961, -1, -1, -1, 304458777, 800743521, 708751943, 811381716, 372949056, 537308449, -1, 420642395, 55729391, 776340533, 762224459, -1, -1, 484529712, 705230070, -1, 934847399, -1, 719325823, 142571414, 264977922, 751522948, -1, -1, -1, 971004735, 279799921, 874982733, 46028190, 925640898, 246149687, -1, -1, 6257728, 892369031, -1, 578504896, 815351022, -1, -1, 105782621, -1, 744614409, 413115554, 952748110, 499845625, 646715472, 758589679, -1, -1, -1, 914935210, 208962672, 158964640, 852548642, 813346288, 837183415, 784306947, 924145817, 659385840, 860508402, 136713927, -1, 830835, -1, 454680149, -1, -1, -1, 402366082, -1, -1, -1, -1, -1, -1, -1, 606244410, 748035512, 492209172, -1, 209930666, 486954640, 962332169, -1, -1, 230995046, 37995347, -1, 548053482, 777925683, 380573724, -1, 550471002, 446865718, -1, 919021930, -1, 51733291, 100467160, 574717726, -1, 425633036, 378512722, 37885828, 646897325, 610869257, 672293690, 739552999, 797064727, 686888528, 463246336, 177445045, 150368883, 941180785, 315063871, -1, 653460749, 959672212, 391760482, -1, 326642394, 5531249, 982013804, 339082258, -1, 295190365, -1, -1, 88840952, -1, 620347541, 847970807, 406098887, 257431696, 156377783, 391314948, 405475525, 272588085, 43883055, -1, 720256053, -1, -1, 280881394, -1, -1, 398558403, -1, 220753860, 933404723, -1, 220281244, 408474145, -1, 794142997, 379760356, -1, 771709397, 433087914, 919383109, 612041517, -1, 981032359, 691395475, 304086971, 943069114, 13500742, 905798490, -1, -1, 346389433, 150203327, 167047502, 671484830, 554685458, 804208053, 7718854, -1, -1, 842845254, -1, 92193016, 118843854, 111062184, -1, 840596895, 67167880, -1, 612443164, 831652817, -1, -1, 294218552, 480422303, 177788897, 892003643, 465790727, -1, -1, -1, 277455013, -1, 648319672, 704752550, -1, 608716398, 346008628, -1, -1, -1, 983994368, 581440404, 509711078, 442420338, 713312504, 320041718, 592645078, 266316693, 305541002, 994034221, 576256271, 144813181, 984836, 399011254, 395348938, 13664711, 87462600, 118188556, -1, -1, 299600528, 884565195, 550814821, 782898105, -1, -1, 75988640, 790876147, 360124127, -1, 413056142, 436105236, 138228879, -1, -1, 161005351, -1, 403897685, 937346935, 212851296, -1, 139019135, -1, 949775748, 95636998, -1, -1, -1, 964566360, 354237541, 473991845, 320807516, -1, -1, 264384542, 60614135, 69220256, 832584069, 699099180, 103938262, 156665658, 248422498, 632173863, 515735262, -1, -1, 103232816, 200279649, 92042850, -1, 763210502, -1, 434158685, -1, -1, -1, -1, 83470472, 695781757, 553295326, -1, -1, -1, 169957977, 248556560, 620405902, 112542782, 821911359, 611880053, 676730901, -1, 832466903, 737752273, -1, 655024136, 704466538, 48749334, 868713137, -1, -1, 951104261, 369678548, 866536489, 650792789, 439600834, 204713106, -1, -1, 212360340, 815454932, -1, -1, -1, 214642912, 409878680, 564787371, -1, -1, 289151391, 246853084, 208632339, -1, 17093781, 847918269, 279993335, -1, 934626833, -1, -1, 245706286, 975031297, 629807102, 160733992, 973566261, 35575157, 688397803, 519757477, 944097251, -1, 245312763, 982904434, -1, 255660959, -1, 207753292, 882990061, 82460408, 462753329, 400890771, -1, 717156245, 366461876, 767492685, -1, 777353401, -1, 923097841, -1, -1, -1, 354375410, 451870903, 870108210, 638039366, 965315750, 417534640, -1, -1, 224734552, 386747231, -1, 598526145, -1, -1, 173242595, 525473523, 288860, 659866555, 709079103, 683111281, -1, 875857216, -1, -1, 29415115, 301121705, 836856122, 475144573, -1, 300147692, 55659229, 517310178, 717511112, 413786690, 185849974, -1, 442860386, -1, 610066598, 870727595, 501625780, 995855400, 745741791, 843770948, -1, -1, 874662441, 823049148, 823884347, 402189735, -1, -1, 44627306, 105318439, 736286214, 267516806, -1, -1, -1, 210266862, 8892561, -1, -1, 836974197, 970054760, -1, 37141364, 25766922, -1, 185936439, 310235822, 580177237, -1, 582254606, -1, -1, 277916640, -1, 413665119, -1, -1, -1, 770619258, 523363791, -1, 646472876, -1, -1, 571429685, 31190936, 776488880, -1, 145842317, -1, 969482485, 485118557, 851585585, 265008494, 804826197, 629208362, 915858849, -1, 184225847, 204808561, 291956264, -1, 22701027, -1, 763574125, -1, -1, -1, -1, 553133486, 686699700, 491670576, 494411895, 38244492, 1021764, -1, -1, 335858606, -1, 215368903, 627503771, 528286945, 471598531, 638301221, 937961410, 919524252, 200880320, -1, 148388121, -1, 259830779, -1, 750597260, 842414610, 456285026, 705100532, -1, -1, 962922914, 426520856, 21800040, 567114684, -1, -1, 841403208, -1, -1, -1, 173007800, 604282342, -1, 459354854, -1, 145462338, 349060770, 686217773, 737852689, 87774598, 997152155, 219835525, 624527118, 946550186, 44758972, 632632844, -1, -1, 969452473, 941336916, 527930556, 63396919, -1, 36058768, 216247498, 798395685, 649777436, 592213864, 976470404, -1, 600956791, 625290926, 338090041, 813935797, 164023609, 286535775, -1, 131802275, -1, -1, 815881201, -1, 950450729, 708654807, 704265643, -1, -1, -1, 706783184, 701059100, 745245482, 625570983, 297419080, -1, -1, 417552160, 681757215, -1, 12382362, 534404483, -1, 307946255, -1, 396539325, 240862618, 541690686, 391346566, 550380069, -1, -1, 240598839, 999385065, -1, 16031314, -1, 253955496, 11747600, -1, -1, -1, -1, 151990491, 622278706, -1, -1, 84185836, 155186992, 879965180, 794652387, 429301623, 469429679, 875170114, 9852009, 744626390, 521748888, -1, 830455864, 105210518, 180058025, 43002765, -1, 77839614, 776459199, 860150645, 467983690, -1, 969047820, -1, 123143431, -1, 860625354, 5056982, 559814315, 405245052, 260826270, -1, 21284247, 281871974, 630650766, 213521402, 393039144, 288605472, 557315143, -1, 492119670, 745769670, 271509639, -1, -1, -1, -1, 513171149, -1, -1, 749424828, 150322738, 147912968, -1, 744679211, 683711768, -1, 542679669, 279389321, -1, -1, -1, -1, 378035738, -1, -1, 276740617, 945969700, 892364601, 515046690, 709096728, -1, 462002958, 159958401, -1, 935178689, 796463487, 412313851, 583252022, -1, 300962861, -1, 19737195, 648674127, 42387244, 410119920, 163111500, -1, -1, 19200392, 868271664, -1, 155000367, -1, 752582131, -1, 44627469, 803773656, 255689202, -1, -1, -1, 275345084, -1, 808262891, 32405723, 180983326, 673901748, 515144395, 338572579, 660186999, 445956480, 863574122, 718318557, 232316295, 551927762, -1, -1, 868646974, -1, 917398377, 908055683, 325471473, -1, 523024461, 25108677, 475653675, -1, -1, 14453876, 348901395, 470637125, 303128500, 407678358, 756364423, 575495463, -1, -1, 828098959, 646536617, 457779129, 627110477, 382078277, 29629348, -1, 233589709, 283184666, -1, 223278175, 479293008, 854239457, -1, 345979598, 264918548, 303336882, 680306392, 135353820, 624943819, 436758300, 348370858, 111266909, -1, 426953189, -1, 582837534, 455910625, 822996461, 269925241, 195027223, 945500345, -1, 913343199, -1, 127066, 88527121, -1, -1, -1, -1, 160988197, -1, 472247242, 259273233, 225222687, -1, 482771894, 470448696, 613382, 34067314, 829766314, 894522475, 243305618, 81912909, 282367712, 719096728, -1, -1, 622915509, -1, 753585798, 953153114, 828505387, 102796317, 404742798, -1, -1, 469496439, 974251719, -1, 767797214, 473029300, 336935145, 452195865, 426081086, -1, 529952198, 741344904, 258776283, -1, -1, 137885558, 338159184, 698765693, 693276777, 388035407, -1, -1, 715283918, 196000652, 673733299, -1, 36651624, -1, -1, 31160400, -1, -1, -1, 820456460, 698146338, -1, 926996118, 837882602, 659428350, 153236238, 242414114, -1, -1, 499616663, -1, -1, 976900811, -1, 466526087, 763625014, -1, -1, 319484686, -1, 820618102, -1, 33164135, -1, 177755911, 981624855, 628730803, 945521411, -1, 426805047, -1, 660716035, 754494244, 180555981, 186032958, 254853035, -1, -1, 404231203, -1, 859266493, -1, 387997985, 574374514, 612175348, -1, 341217897, 688793584, 542401129, -1, 242766289, -1, -1, -1, -1, 92192771, 159409893, 472906420, -1, 370098834, 727626196, 151932007, -1, 299411170, -1, 36619359, -1, 165362459, 8755603, 65503675, 110880472, 336399777, 904154764, 553903228, 871405653, 639528384, 815150802, -1, -1, -1, 194159937, -1, -1, -1, 338977292, 270413125, 999005282, 313210760, 952610672, 1694559, 46657128, 742657418, 896710473, 866868304, 393746917, -1, -1, 365131448, 890469835, 701092500, -1, -1, 490201751, 329900862, 824717991, 865222117, -1, 926991415, 445888028, 797236806, 257265636, 325336488, 580103309, 292288071, 254066718, -1, 665031432, -1, 371084748, -1, -1, 305780302, 245949824, 278227276, 66064033, 574546681, -1, 9354006, -1, -1, 299896424, 311397132, 940364188, -1, 181214377, 244503759, 773567858, 823255723, 246594106, 468634318, 966541462, 127774873, 504830427, 778252664, 441401041, -1, 856900608, 389962776, 365942981, 985200790, 383747268, 828891936, 965448180, 365744004, 48488335, 950856871, 608680567, 319450124, 238517951, 134609905, 539940847, 272046377, 93596341, 60731654, 808890954, -1, -1, -1, 915123281, -1, 970513170, -1, 751464328, -1, 843761093, 873175140, 150511516, 437931764, 938432328, 788285919, 4267738, 804547064, -1, -1, 433787252, 238043559, 837387727, -1, -1, 925183235, -1, 671396413, 865680488, -1, 331190028, 834861922, 350434565, -1, 259335076, -1, 191928596, 458163980, 153029553, 441382250, 305721168, -1, 326139870, -1, 158815289, 262464603, 832883833, -1, 526456201, 6320492, 7677839, -1, 168676430, -1, -1, -1, 651286666, 236188549, -1, 890765861, 568754736, 493728710, 209169126, -1, -1, 7566549, 315127349, 642895111, 514360861, 982801198, 574345022, 747159365, -1, 132561301, -1, -1, 531483438, 297795214, 868884249, -1, -1, 648953195, 110094553, 663079867, 444905024, 719191242, 594268584, 776036857, 552728797, -1, -1, 546450285, -1, 372871225, 750744331, 834592547, 351827205, -1, -1, -1, -1, 149216829, 401871990, 405542653, -1, -1, -1, 223742326, -1, 878162748, 345630155, 754267665, -1, 611373957, 208015711, -1, 797525055, -1, 43173700, -1, 708393190, 776354791, -1, 367271871, 891203772, -1, 250029945, 509783949, 984699406, -1, 107770238, 840778912, 382219658, -1, -1, 410269667, 537204302, -1, 176034337, 818179492, 174508911, -1, -1, 354267143, 62072823, 304996776, -1, 589002809, -1, 367192286, 118938298, 446910148, 4866639, 949295243, 556328432, -1, 315632664, -1, -1, -1, 203643760, 95052822, -1, 375243188, 596712797, 448051933, 858856168, 308261964, 622344226, 623072973, 640858765, 146539430, -1, 201264388, -1, 735715959, 831491871, 30745576, 660657733, 718983475, 746451525, -1, 677133817, -1, -1, 856723121, -1, -1, 114035476, 880602798, 740348308, 567727314, 331674606, 621024112, -1, 748336996, 916719268, 116371274, 611630369, 965647508, -1, 590520762, -1, 927118157, 292708058, -1, -1, -1, 412224306, -1, 295443500, 397521511, 206151058, 253571513, -1, 893138961, 127080281, -1, 467661237, -1, 725868790, -1, -1, 686401002, -1, -1, 277987319, 782450930, 104477625, 153626262, 727053518, 675911938, -1, 480001001, -1, -1, 82820515, 468790449, 818845341, 402715559, -1, -1, 890217891, 991501213, 732895593, -1, 458099752, -1, -1, 817767370, -1, 376012505, 844889157, 675760416, 28197980, 183521135, 986642968, 407373224, 674129870, 849095032, 66639714, -1, 561362318, 300158142, 994814884, -1, 699004994, 770408418, -1, -1, 958086520, 323729528, 467658381, -1, -1, 567807074, 84416112, 967803905, 849565416, 115019071, -1, -1, 500754158, 14312286, 132304190, -1, 494903874, 394081725, 392560992, 184350542, 694983498, 473434871, -1, 845611311, 905132753, -1, -1, 238048646, 162165626, 515967262, 700422411, 946700520, 71504389, 752018633, -1, 760609823, -1, -1, -1, 95257489, 344051672, 509979040, 92842803, 23024128, -1, 174976751, -1, 447938599, 927965270, 271311197, 907129925, 839609697, -1, 918022932, -1, -1, 327399540, 372290678, 151908724, 852952767, -1, 522570239, -1, 581528897, -1, 748867167, 275707744, 46285123, 700527196, 224769683, 282338281, 724336515, -1, -1, -1, 288047676, 588539328, 134527079, 43012959, 66170589, -1, 749235592, -1, 202010670, 898994890, -1, -1, -1, 73525380, -1, 221386814, -1, 96928038, -1, -1, 635021124, 421455701, 618074488, -1, 677875051, -1, -1, -1, 561097196, 722720673, 500419179, -1, 839343410, -1, 514887626, 439378635, 23157591, 385898058, 920884323, 769639715, -1, -1, 307455226, -1, 687869494, 507478613, 547680736, 734362277, 800136967, 281890729, 579149934, 207899994, 110611086, -1, 403582257, -1, -1, 427861412, 111578918, 275660599, -1, -1, 806351899, 762946631, 555219763, 843993377, -1, 975774938, -1, 970934372, -1, 210743379, 317187047, -1, -1, 105733096, 454937403, 745383457, 707907919, 383306020, 593348202, 928943533, 678135140, -1, 550824337, 418936000, -1, -1, 908951067, 994317557, 750426188, 663320051, -1, 303027526, -1, -1, 40886174, 967529840, 669120740, 373234649, -1, -1, 331426296, 883841328, 414911819, 146312194, -1, 331124720, 636326135, -1, 727885985, 50768905, -1, 751910523, -1, -1, 210727748, 662494990, 693453520, 863556151, 346582865, -1, 293209481, -1, 594286730, 14165335, 973457580, -1, 182512946, -1, -1, 636630582, 954803894, -1, -1, 927486649, 550366449, -1, 143443944, -1, 215274748, 649087864, 277837246, -1, 389417350, 283286929, 714196638, 276953846, -1, -1, -1, 920426272, 695107175, -1, 129109695, -1, 421463027, -1, 918601480, 17147334, 60103842, 253493873, -1, 899257555, 927736508, 230838037, 812055617, 321000009, -1, -1, -1, 117976408, -1, 150102974, 112450331, 527829540, 388219510, -1, 161549899, -1, 106546124, 494357246, 650312372, 639720711, 34873884, 345845023, 513321259, 221287619, 29345461, 41541562, -1, -1, 446063175, 139430616, 901174694, 44127978, 141950105, -1, -1, 482737491, 350096839, -1, 180367521, 488971395, -1, -1, 419078794, -1, 676740788, 682614700, 525212739, 640747423, 568107531, 426535745, 116763814, 650819604, 397930428, 45145898, -1, 578187549, 346755077, 527468540, 391116661, -1, 225327606, -1, 858714963, -1, 743437112, 527659157, 895489741, 35566591, -1, 980990954, 545404126, 405887682, 404380928, 778320940, 902976049, 936446942, -1, -1, 984405386, 938647600, 53043819, -1, -1, 788539343, -1, 672170580, 239925788, 85747706, 672387626, -1, 626443106, -1, 584415077, 335004956, -1, 807938436, -1, 848701386, 307798366, -1, 540753337, 183633393, 446708398, 972557031, 566731446, 927554848, -1, 681661278, -1, -1, 139240827, 428671973, 380722666, 86997584, 893283787, 978716769, -1, 314658556, 595644044, -1, -1, 200559422, 743600971, 934132115, 257323502, 348804004, 441035962, 864203912, 293119735, 849004329, -1, -1, 351396682, 432841474, 660009921, 792883830, 782979685, 640240408, -1, -1, 765800886, 982296883, 164033761, 100759556, 40476493, 246032749, -1, -1, 284897771, -1, 164112237, 59411845, 628318784, 147000755, 691699811, 743781547, -1, 779765563, 43353433, -1, 647816747, 719056149, 826628023, 893355027, 132912955, -1, 36753074, -1, 508750548, -1, 605664743, -1, 649214825, 683561952, 862953827, -1, 417150087, 575400687, -1, 842448069, 257290260, 875630281, -1, 332492431, -1, 981540078, 143217648, -1, 775719688, 279879953, 107414633, 779160775, 154239103, 288206189, 681201307, -1, 863240147, 240758080, 301959290, 940271017, 430281179, 923537669, 450865773, -1, 123902122, -1, 307419097, -1, 518560209, 260206079, 861956403, 167795389, 424980212, -1, 374615724, 169150292, -1, 565816240, 22412715, 485400085, -1, 326232053, 964501825, 407758544, 842184496, 781383209, 966074008, 124942816, 183842147, 74393048, 716781094, -1, -1, 410488438, -1, -1, -1, 665470091, 124438798, 983534242, 260793086, 357240794, -1, 147844457, 125316098, 193777931, -1, 532493174, -1, 7301235, 111545658, 374784312, -1, -1, 530866547, 446470141, -1, 128077908, -1, 423994544, 609297531, 326161336, 463808174, -1, 324407172, 681661345, 549329791, -1, -1, 744391791, 73441587, -1, 919442689, 137752160, 703516068, -1, -1, 711612581, 682095502, 85887352, -1, 566009341, 665869342, 381642917, 703430425, 189173628, -1, 158665889, -1, 442289637, 230214504, 85278594, 704921289, 38202314, -1, 920033829, 804853488, 477458495, -1, 965222591, 662690633, 20906697, 305669675, -1, 62864729, -1, -1, 722932576, -1, 738230963, -1, 815911103, 741216129, -1, 282442685, 920267894, 881473167, 7092499, 115216598, 756732100, 622940815, -1, 146786848, -1, -1, -1, 176543244, 34307726, 513041801, -1, -1, 479899773, -1, 332151993, 424058513, 948640436, 253167658, 295572488, -1, 180164485, 618271057, 838216299, -1, -1, -1, 622102515, -1, 136883007, -1, 528938109, -1, 399726192, -1, -1, 827028267, 742291554, -1, 175434815, 507425374, 332835428, 669067573, -1, 479023025, 639948643, 512617137, 858706094, 355656386, 121065523, -1, 553354360, -1, 571356969, 194837504, 45137363, -1, 270456702, 241513113, 199390743, 557486700, -1, -1, -1, 704579678, -1, 324580940, 513964111, 248634960, -1, 62666135, -1, 445357452, -1, 837396479, 177527661, 513503363, 256379452, -1, -1, 389154641, 216266499, -1, 132124994, -1, 10919604, 872411998, 868899660, 911448976, 412189515, 762063439, 426814582, 804934987, 43613963, 219310657, 794354226, 312533378, 911778398, 573384477, 97279830, 527003007, -1, 514847702, 526110082, -1, 854638544, -1, 53849408, 872805581, 143810845, -1, 972762968, 25959278, 848716755, 762490428, -1, 928934273, -1, 388463905, 14115583, 402566345, 150022349, 5584724, -1, 13095130, 275336458, 371158245, -1, 470200063, -1, 580608462, 820113483, -1, -1, 538209473, 484442243, -1, 280867292, 513201795, 688345870, 662752910, -1, -1, -1, 442558988, -1, 880987567, 976308166, -1, -1, -1, -1, 834555548, 656840103, -1, -1, 423521293, 56944044, -1, 689742653, 937032543, 343791972, 755073639, 349101674, 478704107, 197137925, 274465396, -1, 825883738, -1, -1, 866256174, 65099325, 994902344, -1, 561660684, -1, 899949575, 290401734, 154749176, -1, 478992773, 557138092, -1, 625018375, -1, 521481054, 289181826, 132828780, -1, 288368245, 907790615, -1, 999307374, 533423580, 345755343, 417622557, 172714958, 207300256, 216879013, 556419055, -1, 105710440, 509192012, 199585231, -1, 422786635, 486604168, 269292553, 67755384, 254016082, 71258440, 212570000, 513194761, -1, -1, 426050674, -1, 744438161, 378063063, 38234340, -1, -1, 612435315, 536528106, 950151991, 891236641, 728223194, 153362185, 366225659, 239737599, 235016943, 893155099, 948796243, 323431954, -1, 452454511, 412684845, 707109096, 918400356, -1, 790522526, 685650596, 788217131, 238250120, 769630652, -1, 253618781, -1, -1, -1, 515777438, 177373247, 408854307, -1, -1, 325348893, 671189182, -1, -1, 328349850, -1, 603169000, 990927278, 53321373, -1, 55391492, -1, 667558914, 494202175, 419982012, 262062966, -1, -1, 305728299, -1, 678373633, 977386055, 895428317, 270349773, 165461662, 690838911, 516741495, 659792400, 769181857, 870046455, -1, 880128010, 902869849, -1, 520247229, 275468399, 817062087, -1, -1, 931260872, 204329077, 983837835, -1, 230416666, -1, 322082207, 671622584, 728435048, 596181303, 732191988, -1, -1, -1, 598757616, 392771777, 984409002, 30045481, 23336788, 979446341, -1, -1, 66378779, -1, 509404311, -1, -1, 475557361, 361813423, 786522008, 827318841, 974468425, 272878889, 417116030, 59073645, 493292738, -1, -1, 315512057, 958471618, 495723369, 613799858, 50755489, 363773148, -1, 750818282, 623649245, 705936007, 296325624, -1, 387000954, 413832201, -1, 430826677, -1, 214022840, 880550606, 68917336, 438484899, 695863089, 435731904, 690200137, 470251787, 885879811, 374982408, 562448806, 969851915, 629938826, 224707426, 854426970, 652990881, 498320325, 51592552, 419088061, -1, 606370044, -1, 482607927, 271791669, 401747062, 468195661, -1, -1, 968315302, 658831673, 732195710, -1, -1, 358621201, 184583548, -1, 213182423, 948392754, 100899758, 635133900, 745487911, 639052402, 969486228, 406810358, 967739788, 594823950, 88129243, 884475512, 367897605, 134642061, 265213675, 953350700, 718504842, 593114464, 306838600, 947954981, 733403471, -1, -1, 295179398, 161547661, 745148062, 14731913, 986224636, 381629232, 666936590, 525862693, 733204028, 158169631, 697440858, 336686589, 513968629, -1, -1, 764184354, 579038444, 759589799, 660681946, 351915107, 755507011, -1, -1, 751055206, -1, 237955430, 424646045, 555872502, 821248900, 567557267, 557170332, -1, 854663649, 798880456, -1, 645611923, 906226116, 243703739, 241927765, -1, 458191950, -1, 235097824, -1, 452952092, -1, 565815714, -1, 111005529, 819352966, 792829765, 237940705, 855629494, 306309775, 16707124, -1, 701693910, 225918984, 373352537, 322890071, 957014244, 48327356, 829323120, 409060067, 309573677, -1, -1, -1, 832170669, 414509601, 670629062, 87288415, 215730049, 478395312, 168187224, 868321970, 640151188, -1, 282815525, 194339364, 273461466, 372443511, -1, 132350688, -1, 52153831, 678824680, 24985997, -1, 531772428, 60346276, 521784481, 902318061, -1, -1, -1, 841376431, 761838156, 285177893, 200368918, -1, -1, 224174125, -1, 579477112, 684551894, -1, 624077949, -1, -1, -1, -1, -1, -1, 318307740, -1, -1, 524888532, 206042421, 693370545, 750004139, 277747712, 502630456, 192049948, 262141064, 9193407, 830835739, -1, -1, 796069601, -1, -1, -1, 573140607, -1, 829387395, 674540821, -1, 762492247, 292831769, 168008511, 753257917, -1, 135744779, -1, -1, -1, 878109656, -1, 599796296, -1, 1917207, 873295348, 437481337, 812798494, 644658051, 131721236, -1, -1, 127048188, -1, -1, 166462115, 823599130, 796559261, 448216558, -1, 728886679, -1, 743755144, -1, 329991020, 69228329, 228416802, 267406284, 922886747, 881562528, -1, -1, 888897245, -1, 374707037, 131186566, 571792133, 403590379, -1, 918028033, 461285339, 679084560, 24310191, 730582515, 878265276, 603110906, 350150198, 859221741, 874262523, -1, -1, -1, -1, 436932591, 377558693, 941288648, -1, 341234987, -1, 654331083, 699020870, 940501857, -1, 39549353, 245911986, -1, 763257906, 724817500, 855022145, 638594708, -1, 461613199, 701557858, 397171092, 230393939, 614113739, 923374082, 938814211, 13643886, -1, -1, 412677097, -1, -1, 129696828, 586371875, 397429611, 677285972, 679188886, 423661392, 851450105, 919865485, -1, 948711727, -1, 622148154, 626530124, 194977531, -1, -1, 935364431, -1, 249590289, 624709610, 796137316, -1, 834556423, 247441213, 699751072, 995844798, 23275773, 872262649, 183505696, -1, -1, 348409755, 999545434, -1, 263468658, 563463607, 479007661, 985701119, 448162511, 562662280, -1, 394748148, 92047036, 937719218, 933104512, 480151310, -1, 37921190, 308086932, 434034950, -1, -1, 447630711, 96041623, -1, 777469594, 541732282, -1, 493862022, 514921370, 962073445, 828988023, 20310197, 478315151, 38763203, 66504173, 259775485, 120706409, 299811796, 972511907, 933644872, 281083133, 740614235, 763714633, -1, 966235984, 894090720, -1, 24984568, 960986322, 662956220, -1, 785997814, -1, -1, 191919964, 877299898, 560598165, 881788393, 443935674, 38297159, 357117596, -1, 918358378, 839323649, 42615371, -1, 189418421, -1, 183712623, 829048865, -1, 967881312, 383352354, 523591605, -1, -1, -1, 903512710, -1, -1, -1, -1, 866424530, 892926362, 38034686, -1, 162702340, 329693346, 411111104, 267319643, 750360888, 347895160, -1, 399135004, 297188698, -1, 266753522, 337042990, 535070692, 745303504, 177403243, 796088277, -1, -1, 269857843, 144278756, 341603488, 380587242, 93013195, 634924398, -1, 952331553, 189152432, 111194893, 985732875, 878785929, -1, 625296701, 885203169, 100867349, 123183545, 874178554, 970342205, 743742218, 332959525, -1, 650159535, -1, 937527170, -1, 334346053, 820520072, -1, 821683650, 564044087, -1, 585427240, 257367940, -1, 84783674, 892188976, 824490245, -1, -1, -1, 572763720, -1, -1, 329387936, -1, 13819675, 303421786, 179976703, 658564999, 704726537, -1, 827464457, 292919050, 528415866, 438529123, -1, -1, -1, 721209672, 860692231, 597655117, 319772215, 183126173, 198875004, -1, 805007671, 809165427, 403122088, 748462648, 489048000, 399078920, 200569585, 224360510, 380872174, 111047237, 672762514, 27989334, 299750490, 287132813, 526716921, -1, 626513231, -1, 615358765, 240680887, 91039707, 814902355, -1, -1, 45638823, -1, 983198021, -1, 469330911, 784456117, -1, 792271037, 60660732, -1, 909382815, -1, 567650909, 228156865, -1, 528550565, 527619297, 98961646, 230557288, -1, 28577615, 809525474, 652570178, 623867656, -1, 388248027, 433049809, 146987768, 863574241, -1, 5387282, 464340506, 96590029, 817937846, 554737706, 642750291, -1, 111188552, 795004600, -1, 797887533, 304958575, 991212847, 19394192, 666518553, -1, -1, 822338707, 872023234, 234434142, 881473464, 46470678, -1, -1, 830899611, 513993187, 306946245, 303350225, -1, 72868160, 224559545, 613431146, -1, -1, 149614126, 445666103, 933513658, 266104357, 532076835, 260134434, -1, 686936276, -1, 376240318, -1, 83420897, 355176913, 637654996, -1, 971831076, 51313254, 650381835, 143428243, -1, 971859046, 864279184, -1, -1, -1, -1, 694734375, 226760714, -1, 704309283, 858446820, 526185850, 503074105, -1, 871402300, 128100860, 675014797, 115443574, 712212163, 962468008, -1, 148130952, 951601248, -1, 370831855, 103097966, -1, 912392095, 24591924, 221202910, -1, 430970249, -1, -1, 891518236, 950501909, 92259859, 831800541, 214327631, 796730553, 582862729, 913754928, -1, 489233107, 689340404, 260229040, 569575413, -1, 174573091, 964025939, 634192434, 913576223, 529528955, 83961667, 5828905, -1, 54167768, 460654474, 723127228, 99487070, -1, 948625260, -1, -1, 902704132, 268388388, 662126673, 967889474, 676003802, 994806318, -1, 652787503, -1, 173230418, 515862232, -1, 794707752, 655259822, 699754149, -1, 432481632, -1, -1, -1, 246219949, -1, 263829562, 952564445, 634494551, 866693253, 200789535, -1, -1, 853112798, 511285376, -1, 20687036, 467434014, 680219668, 705599316, 318912763, -1, 693264554, 217596904, 820550689, -1, 695975870, 11388859, 388361297, 52352503, 706377233, 69662503, -1, 209806050, -1, -1, 868381869, -1, 996589733, 377754511, -1, -1, 741036800, -1, -1, -1, 294678349, -1, -1, 644094048, 659648639, 238423681, 440933931, 931884606, -1, 392793063, -1, 459229397, 301384532, 479013022, 528834466, 343358110, 631854505, -1, -1, 379317578, 147489279, 842914903, 326512247, 771831535, 776321567, 438327540, 231614048, 334755909, 97754660, -1, 544493269, 788947042, -1, 704116731, 771441566, 30627532, 108065539, -1, -1, 437008370, -1, 180783831, -1, 724578572, 44100118, 722304449, 741203340, 25147992, 457649173, -1, 416717863, -1, 242220428, -1, -1, 989824969, -1, 952441847, 708870524, 528061710, -1, 388544204, 103521738, 707259918, 567821924, 97185069, -1, 227775699, 498970697, 606176304, 583682955, 914981773, -1, -1, -1, 232284824, 425371510, 203697025, 128582580, -1, 378756498, 682127848, 463713565, 193858914, 31769762, 673157387, 782401377, 161154007, -1, 469822179, -1, -1, 817769649, -1, -1, -1, 996227269, 348716049, 683951630, 844462939, -1, 840204071, 360786643, 945995172, 160302494, 772288679, -1, -1, 166129522, 17427200, 100484441, 753306794, 150248946, 540414914, -1, -1, 453416995, 357775220, -1, 840116584, -1, 179339422, -1, -1, -1, 267421019, 773542375, 632622996, 667718933, 223568329, 31260281, 95691860, 713855122, 684477021, -1, -1, 80866832, 752672604, 741666894, 503916337, -1, 528356851, -1, 610451666, -1, -1, 442028106, -1, 747588206, 689889096, -1, 534510271, 983164679, -1, 64929423, -1, -1, 770767997, 182750650, 970347003, -1, 173374219, -1, -1, 54628319, -1, 69947019, -1, 792097827, 558562875, -1, 695152695, 686556189, 404518219, 24025124, 324568212, 287647309, 326497708, 842535867, 739354190, 599844946, 363265772, 131455969, 932112229, 567597462, 417534747, -1, 802379377, 581303017, -1, -1, 808937921, -1, 747781434, -1, -1, -1, -1, 682876736, 439355251, -1, 632941341, 185150769, 38699779, -1, 361067658, -1, 616161693, 799617727, -1, 508885231, 952362631, 548235261, -1, 433726436, -1, 205504235, -1, -1, -1, 916302128, 472922317, 207689014, 620891763, -1, 381946477, 318135211, 292867763, 489734471, -1, 547790078, 988923200, -1, 368046134, 814772507, 264745840, 909373025, 320523824, -1, -1, 187275322, -1, 996228495, 29312587, -1, 378644600, 195727535, -1, 759749703, -1, 565245304, -1, -1, -1, 788558637, 956840009, 176267772, 175202756, -1, 423726444, 960365558, 984867448, -1, -1, 385895607, -1, 17883543, 749822404, 935340459, 848465591, 48296106, 893906628, 731315422, -1, 749745615, -1, -1, 206402631, 242967753, 306998147, 180730474, 230589926, -1, 168357061, 557878124, 855239625, 565404441, -1, 318467451, -1, -1, 337227791, -1, 132621913, 50168426, -1, -1, 143860794, 902182741, 732889894, 579595719, 128304782, 621895399, -1, 399770150, 382245778, 673665629, 549718145, 360582725, 975208921, 783012208, -1, 384590045, 117260136, 854420537, 938327832, -1, 575140634, -1, 344884426, 714433266, 383250238, 706559534, 349483403, 112710451, -1, -1, -1, 916523979, 280895995, 931195935, 597451645, -1, 359007094, 177233805, 977559771, 656321416, -1, 179557444, 132549967, -1, -1, -1, 146192677, -1, 785286349, 609534687, -1, 784550865, 348944426, 934775643, 933028783, 430171905, 835010517, 118215872, -1, 681695835, 977150178, 620397445, 112551397, -1, 520391080, 890904710, -1, 325815902, 217131156, 968855167, 660027384, 179311195, 924857642, 471797494, 661962643, -1, 65966738, 720883671, 178316497, -1, 407628659, 731762869, -1, 445647407, 754959703, -1, -1, 920389939, 533607723, -1, 543054245, 947537839, -1, -1, 533490888, 726569586, 254772602, 654263049, 959574823, 372878281, 827162022, -1, -1, -1, 637269842, -1, 827456941, -1, 897133769, 35220437, -1, 472073184, 951877376, 887567135, 776259662, 530408146, -1, -1, -1, 237076558, 695190777, -1, 896453358, 689767711, 73466748, 90835358, -1, -1, 488073786, 449351649, 162735624, 949518741, -1, 974274306, 958909581, 139928315, 568252660, 537271710, 459476719, -1, 967762284, 159192599, 227899805, 180564331, -1, 776841255, 976047724, 623162479, -1, 570433802, -1, 634654006, 323006577, -1, 582458799, -1, 280572582, 468566343, 336563658, -1, -1, -1, 776544338, 99217782, 728779022, 491074726, 242577126, 467457331, 284448209, 529853974, -1, -1, -1, 365523242, 764715792, 673980922, 222890193, 191368892, 764169431, 191081901, -1, -1, 487096859, 988371537, -1, 244803584, -1, 996261897, -1, -1, 761911160, -1, -1, 607683844, 434695014, 294049520, 346199399, 853931516, 50545593, 654087772, -1, 552569591, -1, 803670000, 420616799, 296421666, 814060141, -1, -1, 901929464, -1, -1, 100749188, 615645760, 239226726, -1, 640424843, -1, -1, -1, 553702913, 938373262, -1, 70009383, 617324902, -1, 159626956, 317799792, 380943765, 455468104, -1, 135822661, -1, 241253317, 38405462, 978546154, 239955290, 715012471, 221707256, 194966100, 536943863, 44587130, 19010425, -1, -1, 850677823, 147434376, 183997756, 376130634, 739658274, 216701088, -1, 222277836, 556243372, 171607751, -1, -1, 924000109, -1, 817695987, 105202155, -1, -1, 775247701, 379911914, 872227122, 423774907, -1, -1, -1, -1, -1, 979832286, 885183960, -1, 26477087, -1, 967071226, -1, 269897817, 773401545, 310130739, 361807190, -1, -1, -1, 934755150, 326446190, 809502337, -1, -1, 69175656, 220335930, 912471252, -1, 438298636, -1, 364838584, -1, -1, 322638966, 774955309, -1, 732379473, 471243633, -1, 127342644, 952857510, 375130081, -1, 330784123, 499734017, 956127727, -1, 368327985, 780212521, -1, -1, 424830833, -1, 235057601, 594231767, 730103085, -1, 977142678, 576819458, 176298060, 761296651, 989473264, -1, 727621233, 802611410, -1, -1, 512035777, 625840203, -1, 116667670, 852977216, 635457799, 845569889, 494457586, 479917079, -1, 570050375, 451318712, 367015124, 30383691, 507913199, 537750691, 99706670, 208370702, 640930636, 999203570, 82451251, 736328861, 164910448, 745264030, 616915434, 903718902, -1, 453646696, 920884993, 260887024, 638796270, 841901657, -1, 370640963, -1, -1, -1, -1, 953452640, 746083024, 2140635, 153707530, -1, -1, -1, 741973612, 962846528, 642472108, 198473235, -1, 642971955, 488064829, 112777660, 927682416, 976040351, 506126085, 230745956, -1, 309908354, -1, 854211421, 454660962, -1, 665019143, 918057830, 282665824, 915473307, 559223081, 428171227, 812642739, 156224907, 347737150, 412681794, 242961935, 316003194, -1, -1, -1, 617964883, 984530913, 921137843, 222725325, 817518357, -1, 993245612, -1, 519702740, 910643741, 134971557, 74357929, 6610081, -1, 198382265, -1, -1, -1, 634581093, 280359788, -1, 906320785, 95844968, -1, -1, -1, 128173250, 179313635, 527375402, 517991642, 637872271, 274538834, -1, 242839729, 42075392, -1, 823927261, 99846310, -1, 804764723, 223860871, -1, 797472712, 588391915, 615820276, 798569767, 18780438, 999076436, 272641248, -1, -1, 772358997, -1, 548056948, 497827380, 211420529, 772104871, 529394130, 563097119, 339822308, 282928034, 670858436, 115151039, 541401230, 814953090, 685081386, 220766019, 112583281, 554541354, 735231643, 443930298, 442692434, 737606393, 982261348, -1, -1, 77880083, 160165715, 914045762, -1, 843413478, 556087189, 860044489, 506482845, 319083546, 757481933, 229439998, 590209050, 535703858, 7185257, 415240423, 466779151, 421063887, 540916381, 910517854, 745696909, 8736521, 476094737, 276107095, 106750842, 357621799, -1, 129036324, 955146955, 990808015, 653585912, -1, 571684513, 649659907, 658927166, -1, 338636704, 748365641, -1, -1, 30239734, -1, 910877782, -1, -1, -1, -1, -1, 842587963, 451339400, 385659715, 559248187, 156177415, 407328343, -1, 299398843, 352669868, 763852355, 377309149, 889850387, 122847681, 907846223, 986042112, -1, 651355665, 900639044, 590939935, 537281668, -1, 505410128, -1, 700686967, 594941032, 429483007, 73221849, 57104714, 526151128, 885326896, -1, -1, 161609386, -1, 255521560, 949160270, 980709738, 18186654, -1, -1, 347880196, -1, 901220294, 702019045, -1, 633447851, 674597948, -1, -1, 353157974, -1, 187832215, 617148138, 318501090, 658961422, 131726514, 490665802, -1, 290975750, 413277679, 427464180, 660170478, -1, 802745420, -1, 232991921, 438409680, -1, 881815528, -1, 588767317, 252961103, 277975670, -1, -1, -1, 596394692, 578784481, -1, -1, 991103755, 472562111, 776536752, 71867614, -1, 222935424, 407781090, 319283622, 942404898, 82517568, -1, 919472324, 364948511, 284795021, 90386368, 888376686, 967780291, -1, 399080246, 135157926, 790962489, 772426826, -1, -1, -1, 30409278, -1, -1, 744506683, 273571312, 505924621, -1, 313464447, 861111556, 208782942, 906121833, 50703329, -1, -1, 234131319, -1, 675803104, -1, -1, -1, 719537998, 227926454, 354379067, 532212135, -1, 879549152, 559016551, 931800170, -1, -1, 383562786, 843719969, 496491187, 599812439, 267850923, 895730970, 774310926, 837648648, 751028510, -1, 891540003, 796422216, 688460949, 99185054, 95962646, -1, 605830323, 403155954, -1, -1, 585637343, 944574026, 569798676, -1, 760330897, -1, 905551903, 315363587, 931496798, 562918505, -1, -1, 621799043, 699058437, 785264006, -1, 315744808, 159722191, 221726928, 347998149, 348365446, -1, -1, -1, 827844481, 556845703, -1, -1, 345437872, 28003616, -1, 613994427, -1, 982885499, 807208087, 56012312, -1, 246905232, 857123688, 175697861, 887749093, 310848219, 149168813, 341068701, 24433939, 464638845, -1, -1, 390070745, 623521498, -1, -1, 519148733, 844198159, -1, 114137685, -1, 423722064, -1, 294608671, 797478752, 596159488, 77746265, -1, 545239665, 365040456, 210723131, -1, -1, -1, 913481295, 703748017, 193369290, -1, 693670579, -1, 393770313, -1, 637623644, 852919703, -1, 720735202, -1, 929728406, 128003335, -1, 186608926, 589005814, -1, 555977711, -1, -1, -1, 843164362, 85666889, 443089906, -1, 92367179, 34664650, 948354359, 485575898, 615894390, 543816217, -1, 321032554, -1, 281734466, 866042279, -1, 686323472, -1, 952967566, -1, 942925041, -1, 82564470, -1, 979128941, -1, 789665248, 943939477, 330724000, -1, -1, 276477545, -1, 262261167, 166338618, -1, 416707378, 916713454, 58109803, 628499117, 514506758, 507125486, 47420673, 241383826, 486325588, -1, 186781571, 91103673, -1, 198855370, -1, 437574592, 929136482, -1, -1, 435345708, 713074702, 152741965, 674940915, 969932146, -1, 24777574, 592695927, -1, -1, -1, 193356503, -1, 197117926, -1, 259327978, -1, -1, 817322876, 643929492, 624213777, 374000874, 771166910, 223691357, -1, 719157914, 542416018, 379364157, 44556988, 322792189, 724000860, 400187660, 7545136, 957635935, 71836984, 452999652, -1, 452504941, 922959756, 451471441, -1, 618487744, 463187419, 63109094, 301033724, -1, 802179197, 776416254, -1, 287704373, 514985981, 767306436, 64243974, 533498830, 4545849, -1, 225814264, 22964258, 800980369, 696084715, 331861401, 858554905, -1, -1, -1, 96774222, 34176436, -1, -1, 570095863, 196932620, 158622637, -1, -1, 417494016, -1, 856266561, 605262973, 641205208, -1, 194618055, 18507986, -1, 428045856, -1, 239436327, 534548295, 447995137, 502252952, 276640662, 271462362, 794811984, 657460800, 350740538, 693527745, -1, 967807479, -1, 794837127, 120240161, 432184907, 624894925, 954157957, -1, -1, 331429221, -1, 597897212, 844130357, 982071035, -1, 511316995, 939664566, 739427674, 503317939, 387902653, -1, -1, -1, 65320246, 439253606, 411251808, -1, 364491547, 936364746, 501499914, 382510386, 733397803, 541347406, 558942940, 919471069, 525480591, -1, -1, 90589509, 847332368, -1, 118346744, 699453541, -1, 808542581, -1, 23196776, -1, -1, 749796329, 306509906, 997791880, 952223505, 408835065, 182100357, -1, 174116455, 96171770, 203715024, 227332350, 845788985, 867072616, -1, 768798397, -1, 48400460, 264901629, 115195441, -1, -1, 242835433, -1, 795745305, 927307795, 895580840, 105492377, 477144754, 945564785, 366362665, 302128431, -1, 487212159, -1, -1, -1, 455883941, 844939767, 519201710, 320810524, -1, 21907696, 707499699, 950653665, 255477563, 586272443, -1, 674301953, 930740570, -1, 821963696, 850940675, 339864088, 528526562, 951968056, 943184718, -1, -1, -1, 14841652, -1, -1, -1, 498342036, 724925389, 329853653, -1, -1, 305662426, 183842887, -1, 436348305, 247546602, 322314766, 332539890, 178592396, 72847623, 461589282, -1, 274973900, -1, 943059521, 571849390, 381707414, -1, 653820356, -1, -1, -1, 54408191, 568491531, 644863259, 231819239, 236427958, -1, 742724493, 558330453, 725689583, -1, 829196649, 277656836, -1, 172574741, 500614282, -1, 261845800, 73513093, -1, 870487078, -1, -1, 918286664, 137557623, -1, 918761905, 257748609, 440490728, -1, 557982842, -1, 758302865, -1, 344296214, 211847757, 989656712, 572746865, -1, 740368875, 149806209, 498768224, -1, 266553784, 28554407, 532830684, 958139149, 60248454, 362426909, 509389248, 233718975, -1, -1, 615038318, 449572676, 308491322, -1, 896520506, 165826229, 685964231, 468502849, -1, 436054587, 288711566, -1, 881965290, 334351639, -1, 103904413, 445661055, 236214514, 659993260, -1, 164873310, 183074043, -1, 902404258, 22371287, -1, 595610980, 52348324, 14095254, 346476596, 137719365, 584821124, 882971568, -1, 581367714, 676151003, 580263761, -1, -1, 235208345, 455055971, 520441235, 169923782, -1, -1, 140323049, -1, -1, -1, 762010331, 503367094, 729834265, 204769117, -1, 917244729, 794890179, 105976981, 321406498, 676709308, -1, 937703770, 75319267, -1, 16659913, 682243874, 123591909, 899154376, 841978218, -1, -1, 875489482, 294598352, 634068089, -1, -1, -1, 199670193, 34770214, 120460523, -1, 214955665, 562499553, 741807970, 173636350, -1, 55237024, 703874545, -1, -1, 46852638, 80756980, 91528856, 419536358, 913549964, 928406534, 877384686, 61825041, -1, -1, -1, 580210844, 62831905, 375201520, -1, 990935078, 483481021, 26147798, -1, 980514563, 660298951, -1, 924378738, 140539516, 81113233, -1, 545457709, 108569078, 22028110, -1, 233975451, 38006949, 613371235, 58798833, 98654372, 935300811, -1, 55945409, 78373282, -1, 850585726, 907324776, 137813999, -1, 656459945, 595157584, -1, 819108170, -1, 542415816, 433110931, 47034696, 105705998, 643419959, 993236270, 485222917, 135836763, 540240720, 492266006, 827607440, 634067802, -1, 776861775, 496920966, 293499528, 563234454, -1, -1, 300254662, -1, 829791792, 215689583, 128728367, -1, -1, 996621154, 588637854, -1, -1, 77374675, 621714180, 896789512, 433517526, 274433834, 510858049, 842162462, 503485764, 634925763, 967949456, 684283995, 781010770, -1, 951214809, 199278181, 17446460, 48157959, 305296647, 667316236, -1, -1, 563490628, -1, 32273607, -1, 292882243, 108297569, -1, 32585460, -1, 2080989, 14885713, -1, 312260914, 791724342, 268241006, 717293229, 714648760, -1, 539035927, 916981767, 370600266, 997239166, 289712261, -1, -1, 676986260, 746217256, -1, -1, 483988726, -1, -1, 585089695, 700129658, -1, 244853017, -1, 404076260, 595299731, 534790521, 75373834, 195692392, 583830363, -1, 310469169, 973263840, 938083715, -1, 182655356, -1, -1, -1, 341139602, 741821745, -1, 836395263, -1, 491390180, 443586501, 298632064, 272397052, 528990095, 273779615, 942722287, 340517583, 174453747, -1, 530874817, 401966263, 324916122, 132303301, 484189459, 882130867, -1, -1, -1, 613680977, 919315698, 765885418, 590939017, -1, 278278380, 346883999, 456871128, 60739051, 565501462, 593807266, 897759405, 803114631, 308984555, 647621140, -1, -1, 691325414, 512199943, 829087606, 194048162, -1, 124591550, 640615051, -1, 465654775, -1, -1, 330668948, 238842579, 982923829, 566489924, 253316689, 935722798, 463108245, 474249896, 988787250, 71024315, 536861797, 403701144, 9086635, -1, 813964015, -1, -1, 405274408, 71805351, -1, -1, -1, 661602707, 393831646, -1, 696211671, 833303850, -1, -1, 110877875, 42480834, -1, 596924426, -1, 345623218, -1, 622619926, 396664861, 830611533, 6398155, 447941322, -1, -1, 943856787, -1, 501723678, 913341122, 404526762, -1, 425240605, 357599592, -1, 503202438, 282865950, 905434714, 954865423, -1, -1, 585884497, 572783195, 727734831, 158551983, 523310296, 185002636, 804463186, 419823529, 497570089, 906826636, 298261693, 271882453, 429404699, -1, -1, -1, 435454326, 427002412, -1, 950972907, 550569987, -1, 881341846, -1, 24369315, -1, -1, 976039423, 399431310, 364236052, -1, 959600787, 649990118, 837727874, 343309914, 66569630, 670996330, -1, 587620750, 150411013, -1, 637179281, 853621935, 479162953, 849303241, 23403193, 107306485, 538300415, 749563080, 486881938, -1, 148738498, 260019491, -1, 28849086, 627113918, 651803906, -1, 538329280, 724196188, 509191865, -1, 520916947, 571222418, 377075930, 706734040, 904943961, 986314697, 735020963, 293759642, 382442665, 909115763, 670382283, -1, 196822418, 312603406, -1, 741356382, 197928057, 558242228, -1, 833942455, 60478597, -1, -1, -1, 238719451, 21585828, -1, 420293002, 96719084, -1, 152261167, -1, 934601068, -1, 516128018, -1, -1, 231624333, -1, 281288655, 979433378, 541490568, 436844139, -1, 684163283, 2078314, 692513417, 712128486, 228042722, 39026348, -1, 905375958, 245829884, 830432119, 417429281, 592435782, 37603521, 868849283, -1, 864329550, 934706043, 486464406, 921113331, 910467435, -1, -1, 269173298, 967426297, -1, 271875123, 470012912, 881548754, 638797590, 567519179, 866044934, 946197879, 816335102, 707284392, 952088586, 830405068, 313949873, -1, 378567010, 790006418, 243598362, -1, 108166233, -1, 102855382, 263934005, 492992849, 992955939, 389607530, -1, 153762108, 595400725, 172972800, -1, 248005080, 250272179, 694883647, 932967481, 132012882, 257256437, 283717046, 864791693, 14913856, 929080508, -1, -1, 970650934, 634274833, 362581701, 430929661, 443759967, -1, 39959600, -1, 716839699, 842778372, 851220922, 136200582, -1, 570962173, 38325513, -1, 221156852, -1, 143519245, -1, 694220111, 534192054, 302984276, -1, 216587549, 296982987, 894541799, 144750422, 395852096, -1, 119928920, 231819916, -1, 555859982, 816387304, -1, -1, 318196913, 853140125, 19517643, 236233173, -1, 102732914, 971764453, -1, -1, 271054105, 958326420, 539408411, 268753839, -1, -1, 195156494, 175028921, -1, 621186453, 120998562, 979583277, -1, 292690127, 686091664, -1, 910850155, 242255775, 362330019, -1, 469386462, 933445588, 207613449, -1, 232632679, 922713117, -1, 360286866, 198568763, 301212678, 393749293, -1, 802913992, -1, -1, -1, 686440296, 394726137, -1, 73065616, 113093239, -1, -1, 338565968, 814188767, 519184534, -1, 404473140, 267664316, 232741312, -1, 804925295, 260933432, 1913090, -1, 980340414, 40361345, 405275023, 462069464, 930774147, 258538947, 483844792, 664698630, -1, -1, 545373389, -1, 740718941, -1, -1, 489431835, -1, 65452344, -1, 64363985, 585316641, 355220728, 249861640, -1, 351725930, 644615511, 628418648, -1, -1, -1, 320942898, 85449676, 687968444, 328567150, -1, 964180271, -1, 398110271, 720780917, 457502353, 579901541, -1, 742068599, -1, 425610452, -1, 553755597, 865322792, 551552724, -1, -1, 938709325, 231162084, -1, 634961788, -1, -1, -1, -1, -1, 989880374, 639597446, -1, -1, 630281867, 536240160, -1, 949386623, -1, 834953583, -1, 470497247, 984723548, 972779698, 423581862, 679830250, 748845724, 538713445, 150901472, -1, 333886292, 28342426, 812595143, 908338994, 388516659, -1, 694406508, 835641596, -1, 706423625, 45860826, 657339459, 911734236, 930755109, 460857215, 478940183, -1, 100260929, -1, 865806988, 763074149, 265866480, -1, 179047059, 404538442, 483272551, 989309263, -1, 955802200, 76305074, -1, 739452784, 702610943, 3637536, 153475975, 772628668, 38767977, -1, 155406903, 368355552, 778145869, 346757657, 673944533, 653806784, -1, 286019144, -1, 145910623, 986666075, 583656891, 204864506, -1, 103601511, 545464150, 523921857, 229540547, 829189728, 248622435, -1, -1, 631194906, 997940452, -1, 354961308, -1, -1, 316983764, -1, 846869030, 766758946, 492106625, 41984981, 865036940, -1, -1, 44093559, 469193392, -1, 526286928, 450262218, 256795452, 733941465, 977498161, 928142260, 328513018, -1, 408447020, -1, 782491313, 57660611, 833805208, -1, 509991757, -1, 846214392, 468556546, 342211257, -1, -1, 919200023, 473949949, -1, -1, 626623303, 915043358, 369282286, -1, -1, -1, -1, 622140715, 214280187, 156391382, -1, 278192098, 282373262, 635497854, 423285615, -1, -1, 501730970, -1, 780507803, 11245113, 80903024, 375783697, -1, 736352779, 577148919, 101671501, 61549536, 174480575, -1, -1, 754069731, -1, -1, 120834369, 608667767, -1, 454037541, 904727456, 436655253, -1, -1, 10220836, 709198746, -1, -1, 819709933, 826357336, 962961350, 383773559, 695107756, 606177847, -1, 542005852, 365254383, -1, 285479074, 539677211, 422772514, 40190171, 269212620, -1, 485402992, 895367571, -1, 216973858, 642878715, -1, 597407225, 992768095, 180678553, -1, 173313796, 676367105, 246208729, -1, 366777769, 971884598, 225216845, -1, 414353452, 523748678, 787733748, -1, -1, -1, 303510036, -1, 783569234, 74958648, 907802560, 663066574, 946538584, 950031670, 146122030, 214398788, -1, 338896423, 818964469, 459783821, 530834149, -1, 282468483, 8125481, -1, 529204910, 523813105, 776080419, 765306548, 840936082, -1, -1, 834492041, 542056232, -1, 103664469, 839226173, -1, 105359024, 340257289, 343110563, -1, 690455916, -1, -1, -1, 519589088, 811837973, 836158083, -1, 389889727, -1, 746832595, 91336040, 955137042, 954693688, 471324880, 899051578, 211264002, -1, 25950855, 878413995, -1, 642660326, -1, 847323089, 927725963, -1, 306144925, -1, 259269727, 101108465, 741831218, 965220699, 725455180, -1, 891510531, -1, -1, 409959612, -1, 790877895, 634195420, 380299084, 704245377, -1, 792542427, 471861079, 644086729, 369132075, -1, 808678352, -1, 719932745, 854201241, 888009006, -1, 150997366, 243262672, -1, 66916149, 814502463, -1, 804103164, 356671377, -1, 20732694, 500983036, -1, 639955243, 128025095, -1, 212718697, 663700415, 172188, 760153474, 821824762, -1, -1, 155599242, -1, 911877372, 692907498, 178254292, 878155434, 456456832, 901832995, 659349579, 967242323, -1, 641733809, 329068269, 78687375, -1, 540981254, 486166871, -1, 780764166, 717471384, 867918901, 872533552, 993510851, 167305884, 159029579, 748719718, 6579240, 499015745, 709337253, 30782726, 471446233, 153397983, 762385485, 241753886, 887378553, 893158058, 764652411, -1, -1, -1, -1, 118763095, 118978838, 265816127, 267281813, 678498331, 123538421, -1, 573209112, 514013482, 760104448, 127956632, -1, -1, 590063378, 62852233, -1, 440590412, 830810780, 398378909, 395323411, -1, -1, -1, 329157854, 973380148, -1, 51854831, 575157111, 896703807, 619940920, 704793217, 34624632, -1, -1, 975683712, 772631252, 116793683, -1, -1, 63622679, 205291346, 821231152, 704950232, 633910385, 867886433, 291259544, 938308880, 320021762, -1, 747971503, -1, -1, -1, 469705802, 51230556, 540016001, 435373133, 822842253, 805053624, 937537945, 585462976, 779274240, 77373539, 196852788, 821890306, 545461582, 835736404, 706373803, -1, -1, 400115697, 69266419, -1, 457270802, 269137808, 79962976, 663370424, 135400731, 726600079, -1, 480270497, 247155298, 912432074, 796358139, 39643240, -1, -1, -1, 204640987, 310460296, -1, 137377062, 680650347, 770527850, 851679500, 699565551, -1, 496530600, 145631248, -1, 771502074, 557134763, 901858633, -1, 977816558, 706926546, -1, 998755297, 833147581, -1, 570148662, -1, -1, 659845902, -1, -1, -1, -1, -1, -1, -1, 538592926, 509453962, 600872983, 698054143, 638959993, 41950618, 768665180, 929980200, 117509814, 222649359, 351818783, 387903403, -1, 929567911, 866200752, 440164707, 561101134, 361367951, 780603892, 375823186, -1, -1, 549306039, -1, -1, 388612193, 412796567, 430316656, -1, -1, -1, -1, 797232808, 41947292, 869047597, 334646516, 754854482, -1, 248947972, 792217488, 402130590, 843205493, 300396535, -1, -1, -1, 359612410, 860541539, 215990495, 616246998, 107731030, 7374843, 987257202, -1, 635952847, -1, 903261801, -1, 629345314, 64370493, 399357821, 760240667, 644984459, -1, 299719000, -1, 681017414, -1, 203444431, 139806000, 431859099, 757378528, 403564509, 789678443, 905335019, 629146738, 862134451, -1, 933772722, 195184756, 293839582, 461615643, 893488469, 263826077, 574731492, 806133863, 745136384, -1, -1, 719194626, 505301805, 722607547, 734129665, 591209731, 107718253, 252223749, 568245471, 778996369, 87101463, 48984248, 762976538, 357471943, 31874100, 368271807, -1, 468661936, 538038497, -1, 232184542, -1, 756807537, 480647925, 121292555, -1, 2557495, 253037336, -1, 927626344, 140449023, 118889980, 266334380, 322303553, 602077306, 332849459, 358940450, 413880633, -1, 721771227, -1, 310767056, 770571670, 683981113, 843507453, 595525836, -1, 585492584, 192875470, 640865483, 183473462, 258146021, 953626310, 448755180, -1, 223306295, 944871109, 931285131, 926653211, 996466826, 225143102, 792598699, 770011243, 684263012, -1, 188749911, 858527184, 633734199, -1, 389366965, -1, 136651057, 891587314, 765315363, -1, -1, -1, 216966993, 163158871, 170183894, 584117747, -1, 831873864, 465409620, -1, -1, 952049121, 379857485, 79623305, 451700355, -1, -1, 641777183, 30532010, 194398162, 151876291, -1, 938402560, -1, 824021078, 844411540, 916017298, -1, 579792645, 851306956, 341339498, 399710231, 465962988, 130669143, 448468185, 641657398, -1, 563543548, 768566334, 515814129, 394146756, -1, 526676051, -1, 269587313, 59311167, 934053453, 640105149, 302505412, -1, -1, 118789538, 397958101, -1, 959813364, -1, 946928922, 156032523, 89972741, 567736091, 965529653, 964290124, 917927677, 847714342, -1, -1, 97322451, 661099788, -1, 749463038, -1, 715430179, 765622925, 247666945, -1, 836765983, 343631921, 876726901, 627912023, 423195419, 441839707, -1, -1, -1, 517732701, 59216600, 709787537, -1, 570303107, 631887364, 349783969, 248345684, -1, 72311200, -1, 44363244, 151830719, 978548705, -1, 828444303, 153272951, 134131088, 495044783, 460437994, 217728312, -1, 735109218, -1, 456828452, 490308562, -1, -1, 367792776, 400441743, 742802111, 404821686, -1, -1, 598438538, -1, 785660916, 871343678, 731140041, 680413931, 181011728, -1, -1, 849249802, 722740693, 371346594, 130912032, 145471387, 866491835, 727440673, 721664255, -1, -1, 78652250, -1, -1, 996658126, -1, -1, 647053885, 112167456, -1, 677274927, 198803196, 613510682, 752162769, -1, 607205745, 151761610, 235298486, -1, -1, -1, 641899599, -1, 868772670, 687918144, 285552576, 628656608, 542610654, 312819609, -1, 159569323, 426990396, -1, 771771693, 101953439, 761475037, 116229981, -1, -1, -1, -1, 829426124, 408893455, 176437233, -1, -1, -1, 283217497, 134978665, -1, 15694476, 844968396, 803155535, 193961672, 259436064, -1, 892658261, -1, 30102005, 227792906, 36354305, 603656175, 924643119, 693977066, -1, 263096650, 534787382, 902655839, 805754670, -1, 827111525, -1, 781245506, 614186581, 733682053, -1, -1, 699501410, 214014698, -1, 227030986, 400392041, 354549243, 805535155, -1, 341041089, 473923278, 426638644, 759002993, -1, 854997791, 371151096, -1, 873147865, 394933391, 655985709, 861237709, 510134117, -1, 908591624, 914523016, -1, 470052340, -1, 636211851, 222506896, -1, 392834497, 682857569, 574653858, 23751155, 629503155, 111629534, -1, 204638263, 730092819, -1, 446663267, 142911631, 722554606, -1, -1, 457655908, 860541446, -1, 943632750, -1, 31074627, 45340610, 606539452, 864840213, -1, 442581147, 686278385, -1, 820893589, 83920288, 752259077, 623993068, -1, -1, -1, 948436000, 991689570, 123352244, 751246, 501377887, -1, 109327969, 626706174, 873638860, 133516308, -1, 113176961, 174143229, 246853175, 426824997, -1, -1, 370271084, 457839301, 725963629, 936877565, 644975544, 941055199, 233489440, 460912011, -1, 69135408, -1, 700501389, 580010456, 559375876, -1, 544544610, 212130738, 420182644, 996528415, -1, 820377075, -1, 801726691, 546164258, 730008209, -1, 213819144, 919187469, 774416624, -1, -1, 240382376, 712881096, 572157110, -1, 147871758, 833824005, 791455083, 453150145, -1, 728384370, 961332137, -1, 549773848, 806398906, 189148478, 226755302, 761275355, 71360361, 892806150, 466569911, 761037313, 346963298, 60756282, 439968429, 476276987, 542163207, -1, 966491928, 318202689, 443020855, 765325636, 869017807, 653149447, 243541515, -1, -1, 634732966, -1, 432598837, -1, 831120568, 416148614, 309083614, -1, 414828123, -1, 309851437, -1, 369532899, 69571663, -1, -1, -1, 803206622, 373700182, -1, 384144889, -1, -1, 504354202, -1, 772527734, -1, 345297707, -1, 66374419, 794767757, -1, 819641980, 657569409, 651434304, -1, -1, -1, 355535298, 627186320, 926355007, 701307965, 509999582, -1, -1, -1, -1, 525176911, 741601093, 861323410, 239527419, 333989410, 558722180, 304272367, 160849477, -1, 596178356, 56976679, 493207495, -1, -1, -1, 319740403, 490640710, 2060652, 221894802, 336282395, 69715571, 220731731, -1, 279668510, -1, 432905702, 979860746, 338759690, 846928742, 126191044, 824571691, 763451432, 364696488, 297271127, 34485420, 411856589, 568525060, 263228072, -1, 310131685, 300739741, 973555565, 517793399, 6822271, 55734265, -1, 128859923, 737633883, -1, -1, 630091959, 422745420, 190847362, 485775945, -1, -1, 622218943, 688880226, 534347941, -1, 368623385, -1, -1, 375770821, 385282427, -1, 988880860, 917305207, -1, 892277531, 705506445, -1, 569242840, -1, 993243635, 442044895, 613320698, -1, 492649612, -1, 358370564, 454732251, -1, 198253301, 878627434, -1, 871778839, -1, -1, -1, 25265662, 684225773, 207539096, 623347756, 350131751, 510018125, 565348528, 988067366, 905120688, 820809214, -1, 713264905, 177315129, 900295192, -1, -1, -1, -1, 980119397, 419841710, -1, -1, -1, 818108556, 921616639, -1, -1, 199215784, 256946487, -1, 287240303, 795333370, 277255593, 385433088, 632474281, 655604318, 311930058, 27552909, 787971104, 481956988, 953513714, 872080165, 335398258, 970199274, 925032247, 489463319, 670941347, 395441444, 771397376, 645644147, 670830208, -1, 953715997, 633753731, 649635022, -1, 900752781, 312876089, 321076032, -1, -1, -1, 638421914, 171433875, -1, 289290712, -1, -1, 408806579, -1, 536682331, -1, 740562301, 443789366, 113330771, 64362500, 24791197, 450475077, 838539954, 60294258, -1, 215578886, -1, 190154499, 215708609, -1, -1, 550067785, 596296402, 647128064, 615812878, 635811010, 394125781, 902801908, 813813709, 201619827, -1, -1, 37511399, 949089459, -1, 998829302, 767049382, 829170690, -1, 56638849, -1, 236458265, 119897813, 501537190, 193534347, -1, -1, 948516343, -1, -1, -1, -1, -1, -1, 777464894, 64914946, 185895358, -1, 983976542, 150966858, 924620682, -1, -1, 949331031, -1, 733698205, -1, 483673295, -1, 133388282, 328432152, 389281152, 4568714, 502987570, 281587628, -1, 735824041, 5209571, 932543344, -1, 762572726, 55486739, -1, 374859171, 25944839, -1, 419176317, -1, -1, 975557402, 615281533, 111621049, 881652364, 569297452, 176476985, -1, -1, -1, 941065803, 938729536, -1, 959237609, 45998945, -1, 314938469, -1, 188019444, 425677499, -1, 179412883, 403593759, 69371194, 701107387, 879854302, -1, -1, -1, -1, 658493647, 874386699, 337283321, 238541188, 18736501, 260926114, -1, 314551013, 399364117, 289881127, -1, 810833976, 437982122, 610802021, -1, -1, 495200189, 683911231, 940456804, 843013035, 434725685, -1, 696342049, -1, 801279523, 621768268, 190661746, -1, 184503999, -1, 472992234, -1, -1, 534109927, 211192253, 432728494, 254543806, 293806919, 653196393, 257877636, 779978359, -1, 241465721, 495855525, 308429734, 456482586, 562063079, 727897209, -1, 349951155, -1, 964690833, -1, 913395432, 981201781, 426193935, 362104088, 847270552, -1, -1, -1, 223854267, 311872285, 643119485, -1, 207115070, 480809613, 346067838, 257622749, 391036635, 759208857, 659366754, -1, -1, -1, -1, -1, -1, -1, 920578450, 427604971, 462126703, 739973889, 459903756, 591083541, 455073373, -1, 12159287, 961881657, -1, 189147785, 473305753, -1, 842443433, -1, 679664469, -1, 372367480, -1, -1, 388563399, 476185638, -1, 537253269, 401097623, 839358117, 842448489, 806850348, 204836067, -1, 284980526, 267107303, -1, 520581296, 874566097, 53311317, 230475934, 442909941, 699096620, 752367127, -1, 149738831, -1, 417846105, 73304072, 817146699, 26764442, 408534202, 552533691, -1, 439704445, 123292395, -1, 252937820, 456525664, 369712894, 395953400, 876339996, 679621864, -1, 906919663, 634042776, 844912534, 556481709, -1, -1, -1, 975357171, 913983630, -1, -1, 899007128, 172002806, 273010663, -1, 314432534, -1, 723704905, 402596130, 780084915, 824912961, 122861899, 917982245, -1, 156173761, -1, 13147914, -1, -1, 41060025, -1, 625331484, 174367228, 949521454, 193434044, 990514598, -1, -1, 972439781, 191759416, 287316881, -1, 568006076, 385380428, -1, -1, 197025245, 22258086, -1, 897812549, 4054442, -1, -1, -1, 619010967, 384106751, 28188806, 629940160, 721018409, 893277392, -1, -1, -1, -1, 956524089, 440207720, 186618691, 573954736, -1, -1, 430651152, 232772310, -1, 58307646, 748032853, 386955955, 417287012, 532218588, 97143279, 336566120, 695384904, -1, -1, 354959642, 97075572, -1, 183929582, -1, 391153727, 647389498, -1, -1, -1, 834234303, -1, 130602010, 603001910, 326125532, 508046945, -1, -1, -1, -1, 409014220, 268166904, 655768552, 877631123, -1, 80648964, -1, 136405473, 92164243, 363150294, 111426696, 989926105, 120534716, 588528364, -1, 815421641, -1, 520315515, 977269749, 174938755, 43591750, -1, -1, 518104312, 881040980, 903321430, 68054085, 817312444, 959943412, 75339964, 539553584, -1, -1, 587716466, 742854774, -1, 828977479, 889114784, 432428629, 459171308, -1, 28783084, 352226078, 529659162, 386768256, -1, 654362763, 918096836, 760714316, 556560368, 233873839, 154600334, -1, -1, 423900225, -1, -1, 272750852, 91998552, 858080191, 724612260, 386964923, 385181387, -1, 410806557, 789866414, -1, -1, -1, 489202744, -1, -1, -1, 564017745, 359304910, 978007353, 396968730, -1, 818370036, 36976772, 732629407, -1, -1, 192240727, 228326114, -1, -1, -1, 353334567, -1, -1, 35445607, -1, 921979187, 543430495, 77383933, 343559531, 257289968, 238365771, -1, 366651066, 970017626, -1, 903517494, 66773925, -1, 559864360, 736061122, 285706281, 786844137, 605035035, 615026013, 783081390, -1, 726311063, 559881306, -1, 464989535, 567092611, 148409717, 130568039, 152054799, 390148295, 957168455, -1, 678223265, 623113192, 711626131, 465189930, 390324485, 644797889, -1, 605009682, 895112383, -1, 779051407, 982407906, -1, 552422197, 867060114, 700939842, 6312017, 203396105, 385070324, -1, -1, 936068615, 764603395, 632576301, -1, 165687411, -1, 48432275, 567727442, -1, -1, -1, 963496789, -1, 430236226, 462020846, 987181911, -1, 778503150, 166917973, 856469061, 425105541, 993416423, 645737861, 604617608, 525237362, 789624009, 315533697, 455400392, 376567737, 283104431, -1, 298974495, -1, 142349619, -1, 396111354, 345494573, 216439707, 422603058, 315109169, 371090405, 945710059, -1, 824267906, 823216091, -1, -1, -1, 238365803, 936745565, 957181791, 495294459, 595012347, 910766832, 69277162, -1, 16058346, 807525507, 744898501, 330767014, -1, 921698834, 198705678, 776938704, -1, -1, 990643261, -1, -1, -1, -1, 878068894, 875972317, 554984579, 577019813, 680677245, 354803920, 366672572, 312760030, 530838603, 387891981, 294529464, 496193008, 501728349, -1, -1, 812914148, 880347939, 36558404, 490163552, -1, -1, -1, -1, 908113404, 123654419, -1, 128236745, 39306627, 93936483, 277654007, 467775035, 969502129, 784964698, 567649019, 384879344, -1, -1, 846282077, 514424412, 339144418, -1, -1, -1, -1, 927403416, 448165229, 283624418, 59812393, 605505626, 405004435, 310719292, 208856703, 71043451, 386993310, -1, 254187308, 55312385, 547735681, -1, -1, 929699449, 351048658, -1, 355423931, 798394697, -1, 698483772, 501586580, -1, 702185956, 913994311, 379452561, 275369859, 769709970, 834645353, 572121305, 369876241, 166160978, -1, 661079475, 233571137, 783780873, -1, -1, 42170503, 853646607, -1, -1, -1, -1, 360012821, 128864696, -1, -1, -1, 331143001, -1, 277055600, 564613462, -1, 660710688, 535368770, 334853378, 729621604, 229891549, 297928643, 317674830, 383257410, 291887098, -1, -1, 654004808, 484805815, 437497357, 840051008, 369228622, 64203362, 157204170, 775422602, 63447491, 157505710, -1, 335048428, 329238461, 654525224, -1, -1, -1, 501716922, 419441034, 238519481, 530713847, -1, -1, 375643868, 991944223, -1, 946131972, 282954462, 591318324, 452969923, 197669114, 950411526, 901899939, -1, -1, -1, 262663060, -1, 788390691, 71016282, 822207247, 375270408, 930416740, 896229557, 880256336, -1, 602157236, -1, -1, -1, 442752715, 486777046, 499208441, 816798484, 312615627, 421022140, 456492697, -1, 203592463, -1, 751573968, 301529987, 719967301, -1, 74871936, 220630638, -1, 204826739, 434117492, 164960487, 301093055, 55542999, 65731186, 712650939, 239702819, 170221051, 969456071, 667752391, -1, 626254600, 523167243, 587446563, 139841634, 185449142, -1, -1, 617026384, -1, 612734801, 662044974, 789727541, 900773313, 109977841, 713947934, 130396333, 638735605, 687905235, 967144902, 480511037, 744631468, -1, -1, 665034141, 602979310, 133657288, -1, -1, -1, -1, -1, 905352727, -1, 972177737, -1, -1, 403206673, 377366090, 662121083, 688138731, 649427402, 310411826, 560887738, -1, -1, 30813910, -1, 445027816, 593408246, -1, 838815757, -1, 31892213, 881221961, 640751675, 450698683, 202357408, 504680678, 384504310, 885621041, 512468421, 475302356, -1, -1, 603450690, -1, -1, -1, -1, -1, 748382934, 851144393, 129932338, 711171702, 935041569, 343362769, -1, 263668450, -1, 736502645, -1, 24144919, 153784217, 108734466, 728631465, 860709659, 676173874, 973840040, 134593817, 656579610, 950571287, 990457275, -1, 515624100, 673474059, -1, 86270793, 496789028, -1, -1, 263043027, 306663116, 821432669, 681981804, 82561484, 482684063, 878045744, 389514113, -1, 819390898, -1, -1, 562137148, -1, 935806866, 796026031, 715978560, 273973045, -1, 208338570, 266103014, 848750188, 373772939, -1, 517607469, 332845991, 642920348, 654414325, -1, 757582331, -1, -1, 180859310, 364009721, 794558360, -1, -1, 375194227, 148176529, 679031498, 480937226, 410098049, 131349189, 411942, 327729558, 655333079, 339166357, 531995982, 779310974, 910243920, 609077126, 497514941, 635198352, 381914273, 100976290, 223022334, -1, 246946237, -1, 104384336, -1, -1, 958992488, 548523983, -1, 851857146, -1, 289602552, 294766664, -1, 84089453, 863376509, 165192285, 133137224, 61319302, -1, 660371653, -1, 912568811, 907828417, -1, 49338595, 145140351, 424188661, 752432173, 74428034, 523406901, -1, 16551519, 431726948, -1, 910113371, -1, 165222196, 467026080, 672239527, 163643343, -1, -1, 661812420, 303371940, 915825561, -1, 102108350, 23490882, -1, 705533906, 225240493, 261031730, 307939301, 608643540, 2138646, 239197274, 323296313, -1, -1, 151987025, 655765992, 366231242, -1, 94394624, 702694420, 95022352, 943973340, -1, 667785350, -1, 429301951, 362095301, -1, -1, -1, 984603127, 899641094, -1, -1, 143842782, -1, 994322275, 87317678, 642374061, -1, 797693124, 743668748, -1, -1, 987432660, -1, 972926554, 245639837, 956159141, 471829155, -1, -1, 159720320, -1, 939158399, 136755046, 725836649, 144417623, 43862152, 27254939, 558613755, -1, 244930815, -1, -1, -1, 935407685, 394114526, 97736076, -1, 445631534, -1, 435067583, 691327979, 58540782, -1, -1, 612281475, 297246330, 237755391, 398309030, 995707820, 297913490, -1, -1, -1, 107298233, 70982185, 705304550, -1, 386522655, 326303716, 725860612, -1, 657500163, 393523397, 772054289, -1, 128735171, -1, -1, 3422126, -1, 31179347, -1, 701411453, -1, 135025155, 265306913, 820849553, -1, -1, 170707397, 819554951, 853398410, 950779582, 387632180, -1, 942311588, -1, -1, 546621305, 573418012, 336782877, 499053164, 498901854, 823883704, 129313205, -1, 857452338, -1, 523415197, -1, 174910038, 865445860, 438576203, 950555813, 880721488, -1, 107062709, 62737887, 230985372, -1, -1, -1, 942335709, -1, -1, 584769805, 944417174, 833923353, 362513839, 244237442, 779883110, 812885697, 309574022, 743112635, 235450720, 968924875, -1, -1, -1, 179077606, -1, -1, 993727077, 934511298, 645098897, 430596068, 40500953, 396850889, 883395623, 56033744, 897342078, 272281491, 403190070, 535009817, 225521211, 243903092, 712079044, 79926067, -1, -1, -1, 67623849, 160638284, -1, -1, 761854028, -1, -1, 173965611, -1, -1, 893474858, 233046090, 552419827, 213564215, -1, 942375920, 91085946, 242710260, 762507171, 131151059, -1, 682944492, 620980072, 25645554, 215989743, 807381508, -1, -1, 393434136, -1, -1, 204481649, -1, 855245656, -1, -1, 288954124, -1, 49083443, 387872090, -1, 349084929, 332020051, -1, 688568056, -1, -1, -1, -1, -1, 33577314, -1, -1, 673991236, 770106528, 394321992, 646468427, 343027611, 141479950, -1, 801631634, -1, 333499045, 27281683, 445159109, 203390816, 362936230, 197505496, 377710719, -1, -1, 107334404, 686079946, -1, 178017001, -1, -1, -1, 257134192, -1, -1, 713658388, 638697672, 522820137, 460258153, 808314698, 629719420, -1, 316710130, 688817566, -1, -1, -1, 844489420, 353037237, 673444826, 560865351, 599536599, -1, 675984765, 439819251, -1, 53830980, -1, 3434763, 616436752, 318973530, -1, 901022943, 273378952, -1, -1, 280536359, 247385541, 757192879, 599972840, 775470465, 269170768, 700518277, 598130240, -1, 915819604, -1, -1, 838298365, 380032350, 832783040, 821721660, 441792972, 392423151, 282497960, -1, 164619675, -1, 223320991, 323208412, 579621071, 376299570, 747094910, -1, -1, -1, 806281849, 486777452, -1, -1, 897893626, -1, -1, 982929732, 636465231, 797990997, 836517090, 774731710, 726112767, 51774324, 307892297, 924953132, -1, 508704182, 456630514, 788298350, -1, -1, 873099066, 809983175, 695815651, 752673093, -1, 572580002, -1, 757604315, 145165224, 159871969, 646031966, 616795536, 757787570, 158724923, 47126826, 301302498, 144739039, -1, 504023113, 887536050, 61556717, 888427957, 714682228, 219730567, 616598327, 942402004, 212664802, 704698460, 83593429, -1, 952446151, -1, -1, -1, -1, 285380937, 999701782, 166436733, 83809958, 682588866, 157439387, 717553875, 160599231, 65723485, 841492739, 982112963, 856469997, -1, -1, 32437831, -1, 13249861, 47415840, 43382213, 877825370, -1, 934012469, 801684973, -1, 541862721, 158920511, 961615124, 687682988, 774034572, 625195114, 464172334, 552935948, 527739592, 910093517, 113871164, 381139046, 272187611, -1, 359743266, -1, 226289698, 264422381, 842648414, 48322737, 226687623, -1, 23549724, -1, -1, -1, -1, 783994487, 374533002, -1, 247160881, -1, 351962548, 92755602, 179628814, -1, -1, 746632197, 40558555, -1, -1, 480824273, 157413375, -1, -1, 767702081, -1, 648604541, -1, 112975549, -1, 351347871, 867406875, 875813071, 740642269, 918055938, -1, 23303398, -1, 498519500, 195836214, 958660754, -1, 144914350, 150451371, 518622886, 146141244, -1, -1, -1, 132059327, 309334288, 149016770, -1, 368852359, 852026045, 828117523, 259530217, 514314455, -1, 798459891, -1, 488389558, 754340652, -1, 619512605, 674385419, 395462217, -1, 777421465, 520075201, -1, 326573684, 852858492, 859995988, -1, 215294865, 654944078, 24239400, -1, 513576462, 847151881, 644002545, 509305290, 562164515, -1, 145434631, 615682272, 676893232, 27542453, 53600750, 39715783, -1, 153976831, 499915081, 689782672, 894293811, 476465731, 629556669, 465776617, -1, -1, 794663343, 426002477, 4301748, -1, 17599005, -1, 910598383, 378410166, 675530040, 849396293, 257290991, -1, -1, 548986199, -1, 736041250, 658363258, 858888099, 998618196, 136440813, 142927501, -1, -1, -1, 47186843, 269367229, 530117779, 155569975, -1, -1, 614787571, 971211091, -1, 140923558, -1, -1, 751467358, 50399825, 740108684, 754111941, 131223279, -1, 434168132, 680967462, 841039548, 864475295, 337395260, 905752615, -1, 446983977, 866267458, -1, -1, -1, 872878089, 753696123, 387053752, 162434856, 406657686, 979613864, -1, 395052571, -1, 478450032, 110904677, 77583295, -1, 180153488, -1, -1, 564324492, 134858384, -1, 164739568, 369925265, 790444004, -1, 232655700, 999860951, 417037559, -1, 545106741, -1, 298953936, 189140852, -1, 987715788, 667333613, -1, 932188880, 816593609, 454265082, -1, -1, -1, 443634519, -1, 341029444, 486292282, 415777203, 216076742, -1, 849634212, 587619553, 12708279, 877792603, -1, 412207609, -1, -1, -1, 414714508, 543722515, -1, 942780613, 440250063, 507161206, 372684218, -1, 384044979, 76232002, -1, -1, -1, -1, 467830756, 286216969, 42896446, 864622695, 447221772, 330832409, 657330869, 154555276, 277701993, 900474645, 109745309, 967767764, 170230524, 99758141, 879272079, -1, 257338026, -1, 523441121, 354030768, -1, -1, -1, 824634131, 998965581, 429767768, 865172525, -1, 795580502, -1, -1, -1, 829532170, 843436144, 256129035, 911591205, 661812694, 734936448, 706121574, 60966399, 457121315, 172139752, -1, 123358606, 993340721, 233876623, 916817484, -1, -1, 194590559, 701499340, 729235763, -1, 47169349, 242544445, 875327317, -1, 899892698, -1, 579332245, 93993540, -1, 850777478, 357048943, 714758383, 344151454, 495903926, 941291168, 109774374, 927573539, -1, 471000295, 900030071, 666174065, 515828372, 324616939, -1, 714235420, 840429694, 185667296, -1, 249418873, -1, -1, -1, 868088957, -1, 569821873, -1, 530599155, 186717150, 358587089, -1, 499195750, 536247302, 615318613, 430844684, -1, 791749564, 952156138, -1, 279035177, 993660941, 58580861, 992513944, 983711575, -1, 481557010, 349987511, 27213491, 425983721, 604955689, 261997530, 153804637, 204931940, 331680833, -1, 430389657, -1, 721183711, 116912849, 299699142, 70068721, 571466353, -1, -1, 857922784, -1, 800610815, 270396922, 292404192, -1, -1, 998121807, 353563352, -1, 90368551, -1, 95362021, -1, -1, 336492569, -1, -1, 686496075, 130193480, -1, 764879175, 264475785, 711644001, -1, 629265196, 444126810, 375604134, 179779176, -1, 861394795, -1, 135769850, 632073911, 130971493, 973443139, 185806890, 132300524, 830611547, -1, -1, 420045030, -1, 331668303, 44466640, 652093772, -1, 537172076, 838450579, 803230197, -1, 678760965, 54814411, 458031871, 906682082, -1, -1, -1, -1, -1, -1, -1, 522527690, 240059616, 439402727, 869987135, 546717814, 973792584, -1, -1, -1, 498970729, 45831281, 226718542, 672523504, 167175034, 474235487, -1, -1, 444698351, -1, 9472300, 870340838, 652061280, 581965335, -1, -1, -1, 580391422, 465039318, -1, -1, -1, 862115908, 525380945, 154765820, 451158210, -1, 647787112, 875632612, -1, 622993977, 534724275, 744594984, -1, 472971143, 36823570, -1, 532041542, 181551529, -1, 27260043, 853177048, 451417049, -1, -1, -1, 291320302, 600793118, 422300076, 316494449, -1, -1, 834654941, 425147832, 795033695, 251136998, 188485177, 832165024, 64795112, 510787607, 924605871, -1, 133924339, 311653364, 101126752, 347626441, 490134105, 617734204, 499543855, -1, 58023170, -1, -1, 538798563, 469435013, 379684040, -1, -1, -1, 523519930, 736763796, 297382092, -1, -1, -1, -1, -1, 269766062, 134625753, 52930119, 360187237, 758285459, -1, 87864416, -1, 730697858, 871580472, 631233114, 946706228, 4132548, 339485363, -1, -1, 715442015, 308229262, 550644498, 734604097, 235423779, 193898433, -1, 14736598, 543378022, 427355347, 95689588, 7257364, 188806252, -1, 623339545, 3304480, 9138820, 909535963, 12471369, 303132858, 735684931, 12551628, 395481206, 431018134, 441532609, -1, 902922885, 679428157, -1, 328289035, -1, 569800264, 689152794, 631925784, 232385328, -1, 629423574, -1, -1, 528359023, -1, -1, 365064887, 681106469, 125174320, -1, 361517854, 535957616, -1, -1, 178176922, -1, 606348075, -1, 814898211, 939464814, 47719613, 105307967, -1, 628177166, 782136955, 993031741, 159801208, 777366202, -1, -1, 950084141, 959870533, 56034851, 780752345, 685421068, 297061731, 198406253, -1, -1, 642889342, 371671558, -1, 301596619, 729198367, 795473727, 30581075, -1, 176406257, -1, 557542037, 966269699, -1, -1, -1, 633430418, 852241011, -1, 100336358, 314908132, 699346467, 344428782, 227791917, 626773045, -1, 353546935, -1, 524475383, 66540016, 65241099, -1, -1, -1, 976841140, -1, 316301916, 272093082, -1, 204420736, 643889680, 34200132, -1, 393020121, -1, 527743477, 11313089, 414885741, 318239968, 471017638, 460418010, 64381865, 119765269, 154420459, 841647629, 826208097, 717505992, -1, 127022588, 810342671, 49299115, 814205057, 66047214, -1, -1, 909383858, 847060177, 103642703, 949637623, 752673813, 289917105, 525919858, -1, -1, -1, 456004239, 790482973, 763955532, 582857770, -1, 553664089, 326043115, 236871860, -1, 661431217, -1, 230420124, 167007671, -1, 760893544, -1, 58499277, 964690870, 953461551, -1, -1, 169319453, -1, 442100023, 296088301, 348358875, 827347670, 566006121, 34864041, -1, 612227364, 371094030, -1, -1, 54674301, 266232756, -1, 133079352, -1, -1, -1, -1, -1, 123629107, 990029914, 320323793, -1, -1, 901040154, 505751038, 996343917, 98404959, 41938396, 50325130, -1, 544845303, 420659934, 609441174, 287422428, 257014262, 582648728, 616225603, -1, 88384028, 379917901, 302036110, 332479814, 208500508, 799564898, 299730009, 868262858, 715872831, -1, -1, 563042075, -1, 619686528, 56331114, 914405567, 3845255, -1, -1, 268979052, 769487987, 269733319, 948620964, -1, 856033908, 97186044, 717094880, 309950999, -1, 784286637, -1, 551957260, 628486142, 241077728, 208645579, 692716921, 466813075, 738266328, -1, 915866663, -1, -1, 485911632, 891222790, 951656536, 366797139, 858124606, -1, 697293155, 115119143, -1, 293533055, 627948589, -1, 764281330, 558465006, 275552765, 582882448, 854038981, 830342824, 408940619, 82500802, 424738848, -1, 220495191, 690532301, -1, 683117267, 469789806, 848692662, 397422795, 575023173, 437662554, 507364314, -1, 893745788, -1, -1, 5685265, 481859031, 72004409, 351839037, -1, 840797318, 416094699, 386470236, 161340911, 405247601, -1, -1, 95038827, 48497578, 155867067, 208860865, 642335706, -1, -1, -1, 641028330, 253954726, 240815635, -1, 181170644, 751615, 779684678, 306613691, -1, 218371185, 986330590, 44215829, -1, -1, -1, -1, 495971324, 925858095, 238315217, 995849010, 991744184, 756507630, -1, 629452141, -1, 381222176, 503440770, 14213593, 900357344, 221838590, 175380576, 944959725, -1, 79985246, 147783007, 485766518, 454328597, 538683954, 953180814, 324643397, -1, 201763179, 384024931, 119575775, -1, -1, 844168755, 519923761, 274163385, -1, 361637821, 205949784, 912624693, 743301371, 387936361, 380622271, -1, 289343925, 864915800, 136783751, 667854054, 145966220, 679529536, 353084653, 371889582, 28631987, 375539339, -1, -1, 915469560, -1, 769373047, 995015749, -1, 483282030, -1, 733287299, 41879477, -1, -1, 142121083, -1, 330873405, 478741656, 338085987, -1, 223280635, 879504770, 530311387, 31445768, 576048362, -1, 922444077, 841281087, -1, 841280073, -1, -1, -1, 11208742, 456803586, 304297225, 786548033, 316896182, 562282140, 738008694, 836644394, -1, 72298301, 315219602, 446592302, 459174891, 227552903, 761776907, 888240409, 983180440, 810666218, 200064091, -1, 533428440, -1, 802393055, -1, -1, 887467848, 725147106, 242286834, -1, 850246662, -1, 495347445, -1, 161965415, 948517774, 866798195, 816771087, 247081928, 960417783, 539145976, 765732069, 727519811, -1, 735885522, 469971089, 516744992, -1, 693928176, 235400819, 372073351, -1, 560379264, 102798346, 419181047, 300800779, 221108653, -1, 408744742, -1, -1, 644933781, 880940457, 12346499, 516573189, 193331413, 100420689, -1, 88742638, 19073009, 467214596, 732769653, 825003462, -1, 124366456, 82598835, 832185156, -1, 244260077, 200765028, -1, 870256835, 319250477, 922011651, 951648937, 521829111, -1, -1, 614904229, -1, -1, -1, -1, 603987150, 429862310, 846141181, 33538162, -1, -1, -1, -1, 589065080, 756915722, 261604199, -1, 574934561, -1, 612583592, -1, -1, 388468852, 902889676, 891511138, 470011062, 588223387, -1, 223823476, -1, 281867438, 697124790, 305444873, -1, 352855575, -1, 509945077, 48100129, 788994932, 853649784, -1, 919072263, 718504267, 277211022, 897941064, 934464627, 640244071, 427374648, 919963653, 979236777, -1, -1, 466439593, -1, 167156973, 382924127, -1, -1, 818002541, 576092072, -1, -1, 510657205, 120832263, -1, 379163788, 229815410, -1, 793807277, 494962984, 466726573, 652915169, 75355848, 998419060, 322919185, 80493427, 547616196, -1, 515594597, 445489805, 118083206, -1, 721168293, 286062215, -1, 655748494, -1, 372482024, 660869447, -1, 736987495, 802561144, 340350479, 397997080, 829919061, 604822164, 649346797, 711722185, -1, 992050649, 590512433, 159487492, 348566138, -1, 210148860, -1, 178162106, 337838412, 268710229, 890911595, 265556983, 629501022, 264947765, -1, -1, 874811426, 120598222, 333196183, -1, 940265069, 536240112, 389064692, 637762650, 151105962, -1, -1, -1, 919093457, 622587979, 993459591, 901939447, -1, -1, 429564709, -1, 487924233, 735474634, 227363132, 150422324, 458833259, -1, 333384481, 360148734, 963471668, 680357917, 418737237, -1, -1, 511937954, 283310837, -1, -1, 486888260, 186881933, 536787888, -1, 422027659, 150448233, 217491420, -1, -1, 817135812, 536951420, 982777302, 84741717, -1, 130472450, 353741992, 384679496, 751374629, 84069298, 7680687, 361102021, 947392797, 734789738, -1, 599366326, 997296144, 171305605, 820170076, 845488451, 681527995, 857028481, -1, 877566860, 213799225, 514650908, 656593594, -1, 9640637, 396997279, -1, 539515948, -1, 86563353, 984660274, 888595022, 578108340, -1, 779037750, 363841726, 476080605, 253910940, -1, -1, -1, 966771044, 33160649, 101803128, 33887160, 536947613, 402490685, -1, -1, 224772744, 312013850, 721321410, -1, 733327487, -1, -1, -1, 749162107, 198291, 387277048, 533243742, 701373699, 902123158, -1, 847510660, 310972713, 339272196, 616221494, 171143133, 772792880, 100491052, -1, 90951101, -1, 637099086, 101507116, -1, 406558571, 106687196, 546395573, 896078346, -1, 75157033, 531252471, -1, 22655723, 64096674, 819300010, -1, 697928812, 667637121, 482139716, -1, -1, 414840006, 743847380, 384958399, -1, -1, 984818713, -1, -1, -1, -1, 961608415, -1, 133863974, 899107932, -1, 885556861, 916432406, 117185050, -1, 869181193, -1, 317939303, 660328389, -1, 967208442, -1, -1, -1, -1, 422035734, -1, 951948216, -1, -1, 100835332, -1, 841592649, 407047461, -1, 539106070, 700904365, 98931397, 787616135, 720760230, 250734825, -1, 366237433, 621873904, 374456472, 234985938, -1, 150919780, -1, 455322905, 399658319, -1, 213733717, 816452201, 991098728, -1, 711017671, 4451111, 288076677, 737726168, 733564194, -1, -1, 580585404, 982197976, 934562918, 166410142, 651240611, -1, 83764888, 740807917, 940941385, 821105819, -1, 139042034, 976646050, 92451822, -1, 836830704, 335315200, -1, 7671302, 611243531, 655716025, 995040114, 909769366, -1, 871855729, -1, 487614096, 813584205, 172229769, 363333853, 31663456, 33461603, 913987882, 955372761, 75110760, 795559181, 682319946, 570967973, 567179929, 803496811, 404040874, 623730506, -1, 59655434, 595260458, 544123325, 198411505, 372245165, 325116866, -1, -1, 249843781, -1, 746792904, 166897784, -1, 13410252, 558525532, -1, 864275556, 871834418, -1, 974065678, -1, 249626765, -1, 397726625, 770391959, 216821077, -1, -1, 847149813, 567349193, 366764613, 396293751, 926072128, -1, -1, -1, -1, -1, 375880952, -1, 939772268, 291091015, -1, 34088101, 76339724, -1, 409090472, -1, 818597317, -1, 775969746, -1, -1, 358302, 743893733, -1, 646027048, -1, -1, 52320196, -1, 932707571, 133709369, 218853202, -1, 963250758, 915227027, 116397896, 126502969, -1, 154200465, -1, -1, 736733603, 678369923, 234927959, 688972832, -1, -1, 972162244, 29039340, 731643447, 392172416, 898830250, -1, 740530459, 889571685, 647974984, 17308560, -1, 769112074, 414584175, 756417935, 102962960, 97180194, -1, -1, 937237446, 438010598, 156232157, 156594237, 99944437, 787295699, 797264249, 822702781, 567783825, 947886263, 631112373, 853367075, 836426856, 483820849, -1, 619800185, -1, 794725760, 115142268, 238513767, 365728250, 386169360, 70491528, -1, 820702182, 633963002, 986319807, 840477544, 653664051, -1, 380572768, 797402756, -1, 791341514, -1, -1, 382021857, 620787248, 994817433, 639938383, 906089325, 45198684, 532278798, -1, 187169942, -1, 157621439, 391387089, 366953269, 606326306, 182595032, -1, 355161568, -1, -1, -1, 724616442, 40311922, 799069495, 256135980, 879994326, -1, 420185554, -1, 179058092, 67422744, 91557266, 32691885, 822080921, 284443977, 260797278, -1, 532497082, -1, 68907631, 943706091, -1, 544772998, -1, 457025931, -1, 966858706, 570883142, -1, -1, -1, 133859219, 197732769, -1, 831563997, 550038124, -1, -1, -1, 722750889, 847905635, 262519297, 304732332, 467412827, 843900742, 334559366, 92065315, 152186484, 938593564, -1, 558421672, -1, 793658832, -1, -1, 662879943, -1, -1, -1, 884370220, 369848450, -1, -1, 940605683, 867368444, -1, 37348254, 565265577, -1, 974023089, 677502993, -1, -1, 418687472, -1, -1, 918705618, 350958547, 319992606, -1, -1, 307533585, 832903556, -1, -1, -1, 657251609, 288888096, -1, -1, -1, -1, 364280222, -1, 591439002, -1, 355008810, -1, 913000984, 447009807, 59046732, 428552752, 169527023, 909082886, -1, 836359314, -1, -1, 420016943, -1, 447419457, 918780992, -1, 567519856, -1, 935713148, 577563514, 47042712, 348437394, -1, 169035219, 621462064, 427512757, 404937796, 586800259, -1, 879869190, -1, 897706182, 85572304, 41385127, 409162601, 907976409, -1, 524576474, -1, -1, 970749896, 483690910, 250754319, 42017291, -1, -1, 299993123, 683847964, 859682372, 247107789, 962576237, 959713574, -1, 423683106, -1, -1, -1, 412124624, 987660144, -1, 470563316, 36202632, 703316377, 867823646, 153797847, 445416658, -1, 863707377, -1, -1, 312384165, -1, 662944936, 567453282, 45011729, -1, -1, -1, 427575918, 845166104, 354064313, -1, 78394595, 530159159, -1, 809054256, -1, 351212027, 737458671, 12109231, -1, -1, 351457102, -1, -1, -1, 559396938, 202459286, 112807966, 177474416, 425226168, -1, -1, 217272907, -1, 476800277, 988911056, -1, 82201077, 900099527, 336838377, 623409378, 8396515, 462308190, -1, 359229343, 94527973, -1, 328310388, 411601182, 428068967, 467285978, 585750111, 312974383, 935009511, 43799697, 753410012, 740775297, -1, 104105578, 541837777, -1, 251614234, -1, 490522917, -1, -1, 150133941, -1, -1, 476739681, -1, 895561154, -1, 865590428, 937392407, 163691560, 696453041, 263343707, 879633681, -1, -1, 383700239, 161956083, 477575407, 189902296, 275364112, 803853089, -1, 768506253, -1, 930575472, -1, 265179679, 514439599, 566108234, -1, 237865211, 297018412, 735406729, 371683150, 490535631, -1, 785364690, -1, 104809498, 530768873, 478036692, 252452342, -1, -1, 981318925, 919360497, 203848829, -1, 7184486, -1, 301506858, 623525401, 224331228, 971736522, -1, -1, 204326860, -1, -1, -1, 430175800, 704619066, 829990404, 736397349, -1, -1, 740823707, -1, -1, 95280611, -1, -1, 990959166, 232058241, 627830626, 764209544, 221343228, -1, 169657981, 935003176, 583898447, -1, 287478651, 544031050, -1, 546023809, 983076220, 773234073, 954691109, 525604866, -1, 466405417, 242302098, -1, -1, 195841558, 4154436, 817568744, 460364615, 344073195, 76277373, 158949560, 423148272, -1, 63808709, 643997086, 497165979, 180672221, -1, -1, 846478293, 137482998, 405223695, 835887788, 454964098, 239607882, 352832523, 514138458, 298776672, 646352541, 267374642, 773397207, 813182244, 476233792, 110916660, 429454238, 224725307, 107116813, 697074600, 453191428, 889105981, 365004376, -1, 805857671, 807441986, 437267803, 7014193, 305421400, 866704002, 95234475, 752077038, 330183443, -1, 978353137, -1, -1, 193246680, -1, 620333962, 507819050, 8418483, 605872222, 564353769, 979525523, 61259704, 791382118, 739528212, 159815867, 267004902, -1, 837199727, -1, 740752093, 855692863, -1, 471436506, 440740680, -1, 49149972, 287840013, -1, -1, 497745905, 760370856, 50951636, -1, 945083686, 184160400, -1, 863195539, -1, 419080905, 842041674, 610868298, 678441110, 150825659, -1, 396480265, -1, -1, 925342122, -1, 11981416, -1, 150606836, 112874836, 454540426, 738513687, -1, 733233237, 28715098, 468836989, -1, -1, -1, 616031498, 149277933, 974937205, -1, -1, 837439026, -1, 420007078, 247272089, 681209668, 45451026, 807714209, 399329922, 483633174, -1, -1, 659442567, 790821766, -1, 520830696, -1, 625646511, 325003968, -1, 106695011, 491625228, 968725870, 525184554, -1, 129665638, 104630144, 917861623, 371255908, -1, 406958792, 71602084, -1, 101196008, 822386042, 275328142, 266098559, -1, -1, 345307676, 386601744, 230419747, 907391633, 449797637, 927195204, 354889015, -1, -1, 279072212, 544644022, 589119385, 516516692, -1, 700957731, 492696339, -1, 852804313, 551729057, 272710918, 726063321, 122772595, 972970584, 605830149, 316680147, 536586502, 838880201, 50546529, -1, 88286296, -1, 740086379, -1, -1, 874678559, 271815143, 71967993, 7631056, 805782762, 814942208, -1, 114466985, -1, -1, -1, 226912764, 877571, -1, 363559735, -1, -1, 810605814, 571678889, 292067257, -1, 784273252, -1, -1, -1, -1, 512245998, 49498216, -1, 307781386, -1, 792275709, 489883245, 89522287, 419396784, 8859105, 147278537, 447944754, 82896781, -1, -1, 165493718, -1, 119849093, -1, 490403155, 620022521, 128242009, -1, -1, 62095361, 111377779, 738271738, 951796630, 990392803, 319988266, 268402004, 670098204, 139209629, -1, 295759067, 707254477, 819476044, 280193508, -1, -1, -1, 163607485, 49611127, 392544878, 830548487, 419771874, 600224007, -1, 365141396, 4847693, 598986362, 889364476, -1, 938068822, -1, 754341890, -1, 146463919, 684618680, -1, 502831162, 782546050, -1, 591443970, 582830371, 780802164, 530931218, 729598834, 561777343, 799931323, 56387894, 468188922, -1, 887911777, -1, -1, 277248690, -1, 330788552, -1, -1, 167384043, 802675566, 644062007, -1, 610164577, 295664872, 518899727, 766158029, 236576606, 178403751, -1, 895990646, 268409477, -1, -1, 848593441, 258863129, 404670623, 917000553, 3379820, -1, 718798398, 396108272, 391489943, -1, -1, 52417568, -1, -1, 916953032, -1, -1, 256484597, 45991741, 458286936, 951382507, -1, -1, 633650073, -1, -1, 276090523, 233464522, -1, -1, 241369403, 915477721, 938476037, 533671065, 49634836, 82737041, -1, 393198808, -1, 652281892, 357877697, 572717200, -1, 921836882, 792231669, 752820905, 714119608, 946161531, 443628490, 67669072, 84235368, -1, 851926139, 89425353, 431890414, 811974204, 750467507, 304959149, 636773223, 19971070, 211073085, 508725449, -1, -1, -1, 595677953, 926666840, 632112501, 34861928, -1, -1, -1, 510727489, -1, 100164535, -1, -1, 473858959, 293746419, 946865077, 735177910, 514221347, -1, 756664890, 295181970, 907722424, -1, 188704085, 945275459, 493828374, 251056737, -1, 465204072, 403792740, 48115881, 885117445, -1, -1, 541733761, 291387591, 640630598, 979655028, 312517531, 400904612, -1, 566178327, -1, 387269904, -1, -1, -1, 482678252, -1, 39050128, -1, 997073346, 447587132, 901176079, -1, -1, 144016942, 859823383, -1, 409375177, 652613190, 506968468, 147668590, 815028307, -1, 562647341, -1, 633454273, 503857912, 914415166, 564034433, 944544555, 532826187, 46207302, 503195713, 89284437, 528479165, 170690928, 508012405, -1, -1, -1, 822292905, 899458749, 329065192, 211553418, -1, 10586088, 531105785, -1, 480721988, -1, 929213814, 491443272, -1, -1, -1, 630996188, 199104129, 242258901, 674824945, -1, 82094442, -1, 894076404, 208527843, -1, 258659967, 665902051, -1, -1, 999596639, 733671815, 443514457, 151683260, 332230380, 607377742, -1, -1, 445199828, 455929860, -1, -1, -1, 633876142, -1, 243657299, -1, 375292876, 67818334, 363179123, 822006778, 237714136, -1, 743967959, -1, 432972959, 659619807, 598535485, 646704667, 9520304, -1, -1, 820671449, 852344154, 544848631, 837026831, 566320705, -1, 859869542, 519575695, 339976896, -1, 869156129, -1, -1, 539792642, 990489433, -1, 212284564, 474932920, -1, -1, -1, -1, 658197387, 870106580, 628942917, 277193551, 190222304, -1, 61949354, 175238010, 72560701, 581438283, 827548390, 669004712, 495828356, -1, -1, 895459322, 354075479, 648854062, -1, 374009576, 75002303, 817984714, 837417646, -1, 704337663, 366107518, 100313081, -1, 696768064, 4774655, 418985575, -1, 703532689, 801891254, 450526805, 781960607, 784714239, 78061498, -1, 970307636, -1, 788232459, 586469302, 855391604, -1, 922892688, -1, 3465740, -1, 750033364, 454266914, -1, 629426383, 32274125, 278959121, 873688153, 938505298, -1, -1, 103945500, 642575806, -1, 486529939, 256055245, -1, 33576889, -1, 613357895, 363190641, -1, 637468394, 826073173, 461135426, -1, 510268421, 80412323, 625410191, 233158876, 311126964, -1, -1, 860035271, -1, -1, 708373389, 766210781, 865370149, -1, 124105148, 520365881, 326303444, 178052812, -1, 444628548, 391906056, -1, -1, 202975501, -1, -1, 437397829, 331771573, 136869442, 507328097, -1, 67657536, 649185089, 761919639, -1, 362205782, -1, 786603092, 288868957, 797902725, -1, 824725253, 766782663, -1, 991326212, 734835185, 628260752, -1, -1, 845384791, 461930534, 529769280, 693674052, -1, 407469578, -1, 698585040, 2856391, -1, -1, 366604242, 866685892, 346045223, 344041656, 843946315, 601815246, 198595840, 354562695, -1, 557250314, -1, -1, 619905677, -1, 46559560, 264702429, 353377163, 181322188, 49399644, 528457674, 355591222, 872748153, 255439877, -1, 600180178, 794973726, 819461859, 824638981, 8503125, 617883992, 396095506, -1, 211041517, 380454473, 873315641, -1, -1, 979796554, 910240015, -1, -1, -1, 457060266, -1, 280213907, -1, 625287071, 605192863, 489612025, 337330515, 187963692, 881632027, -1, 855553080, -1, 833072630, 582951158, 910419559, -1, 968412653, 988290507, 759012712, 32444467, -1, -1, 479942663, -1, 657540850, 920214701, -1, 9995474, -1, 949496853, -1, 38918336, 396621950, 90522583, -1, 303904501, -1, 179030849, 623049912, 185733287, 716167112, 76068178, 254598583, -1, 853565750, -1, 663416330, 221007797, 402687004, 656731803, 769631851, 840509298, -1, -1, 653427579, 931749118, 526505901, 412736201, -1, -1, 682234111, 419067358, 872661893, 281652781, 215793690, 854577574, 108460140, -1, -1, 173391670, 923236489, 408164265, 166483336, 657401156, 403732184, 472799219, -1, 588271648, -1, -1, -1, -1, 821022089, 302826801, 963674416, -1, 963385462, -1, 979982942, -1, 996478342, 703263249, 856420776, 219870793, 531856269, 198204502, 527519389, 197079719, 396352212, 711007596, 640619225, 944973283, 592975659, 251618663, 375723190, 94254566, 197802586, 806306178, 945667425, 384733529, -1, -1, 108855309, 864458277, -1, 95199879, 616181826, 618394613, 161836844, 433487160, 194766421, -1, -1, 34752876, 112486020, 802439739, -1, 254972191, 694476845, -1, 600580409, 838357655, 75287916, 459285729, 429775071, 543497292, 672130323, -1, 74401152, 517551822, -1, 388827211, -1, 899663399, -1, -1, -1, 938228799, 667007107, 306132414, -1, 468374257, 56634241, 211600021, 847471945, 271330509, -1, 705378059, -1, 614083459, 66591223, 274024546, -1, 47209441, 619780895, -1, -1, -1, -1, 880686417, 762138072, 850274140, 962021816, 68735875, 330525376, -1, 863517092, 439891335, 954212502, -1, 538720475, -1, 27409536, 831643223, -1, -1, -1, 445226005, -1, -1, 152337673, 712387317, -1, -1, 869541586, 354225739, 327648136, -1, -1, 28959014, -1, 703624772, 72433506, -1, -1, -1, 760527250, 904281746, -1, 959117448, 88721954, 792337694, 751119604, -1, 547997070, 605986581, 896902855, -1, 839851350, -1, 699332481, 36164750, -1, 663403843, -1, -1, 398547595, -1, 891706560, 996683365, 870297008, 219840164, 277966006, 705460930, 823486595, -1, 153637159, 665355052, -1, 552077216, -1, 854860298, 712703258, 788614848, 718187012, -1, 842786951, 216580245, -1, 425066410, 224342356, 953680587, 839970904, 913134875, 917205104, 580736696, 951061614, -1, -1, -1, -1, 26012475, 301180651, 904387009, -1, -1, 847454460, 145790278, -1, 508456756, 348183130, 383167071, 458130761, 885746816, 181218819, 178550296, 382275788, -1, 895584683, 770318830, -1, 293899444, -1, 21764996, 338055336, 341464891, 642647922, 612815219, 257401645, -1, 364495505, 80376022, 405599822, 267847918, -1, 371890103, 279329852, 232733961, 142065565, 210484544, 170077946, 658895834, 592405521, -1, 731544227, -1, -1, 372203132, -1, 726597809, -1, 606145775, 448908855, 808477911, 47714880, 854148256, 999329629, 852029272, 742626897, -1, 187105375, -1, 775016617, 461135576, 176649911, -1, -1, 8464347, 814152407, -1, 32960633, -1, -1, 363352643, -1, 314879555, 762628381, 231351692, 915295701, -1, 658723137, 818367527, 345341242, -1, 51611263, 416229625, 913669527, -1, 120948244, 959315120, -1, 982240140, 826665806, 991127167, 120429445, 270363104, -1, -1, 745141742, 290757670, -1, 400730835, 61787705, 266093224, -1, -1, 182863332, 294119498, 939366568, -1, 109171337, -1, -1, 267297896, -1, 166857842, 526147981, -1, 617681294, 95595911, -1, 709748348, 399792750, 12679773, -1, 587760664, 832621795, -1, 928270737, -1, 222352688, -1, 526130944, -1, 595552796, -1, 825559088, 356992623, 671496793, 799914386, 358194193, -1, -1, 414230702, 719248004, 555062522, 128411533, -1, 934071912, 19966030, -1, 827854915, 776591914, 161280599, 824214967, -1, -1, 35342762, 227813916, -1, 590930226, 750789552, 645214114, -1, 807984414, -1, 624695630, 592605566, 156165308, 205561757, 166592110, -1, 604859345, 224654024, 246301273, 702069100, 972673556, 140949887, -1, 848264542, 627013064, -1, 854145633, 943672423, 56640652, 160914932, 786399018, 818712173, -1, 401852750, -1, 591874376, 47115360, -1, -1, 88179154, 892035013, -1, 758102913, 449920016, 860616454, 341288168, -1, -1, -1, 378690555, -1, 545986788, 508363961, 389856757, -1, 159606329, 214864626, 918241961, 873245507, 720702147, 16007690, 406992069, 664212870, 521511143, 703862846, 302684987, 808390337, 846089876, 926304673, 983539276, 210217088, 726512069, 373950616, 996416983, 259720723, 587161976, 558192881, 855251378, 948286368, -1, -1, 749050655, 358150818, 943523130, 441914182, 392167176, -1, 337642071, 623464687, -1, 222418931, 458252850, 603646820, -1, 486186179, 625903282, -1, -1, -1, 814905730, 429606239, 522763722, -1, 352930683, 585444793, -1, 314763436, -1, 108226892, 78288424, 984807284, 496884352, 233051562, 98319916, -1, 60829426, 485457472, 668742002, 629118331, 186423484, 267942103, 171952889, 599579932, 117918223, 400657868, 535509222, 130847786, -1, 989808121, 530530739, 733742349, 223851959, 150847026, 630664276, 689840097, 748591763, 339290300, 725404188, 265332991, 212649636, -1, 247171119, 980079235, 103581711, 599531699, -1, -1, -1, 161368998, -1, -1, -1, 760193952, 324603511, 922932019, 978122128, 560965261, -1, -1, 345105674, 664948046, 794916218, 155373600, -1, 934548480, 269266715, 499297261, -1, 935948658, -1, 539027575, 923404250, -1, 898777827, 704690636, 444931685, 387447959, 349009159, 537392584, -1, 261896877, 656438911, 948270629, 422210307, 488555457, 372374961, 596781264, 710035273, 372626671, 923959228, 198053231, 386520013, 802379653, 703194637, 800305265, 614865665, -1, -1, 100908902, 900329574, -1, 616747514, 896343517, 927885216, 998675748, -1, 197584974, -1, -1, 542396502, 820611994, 75421643, 790012616, -1, 782055474, 267794740, -1, 989125606, 393173956, 588825039, -1, -1, 907685787, 954793942, 611977792, -1, -1, -1, 446667466, 150249051, 906046593, -1, 320995459, -1, 59183876, 629214478, 309071252, 215917026, 410277302, -1, 940209194, -1, 144753247, 312332299, 484053016, -1, 919806664, 188200245, -1, -1, 132087709, 68727336, -1, -1, -1, 103776770, 794853877, 617724940, 473044045, 130668823, -1, 71752663, -1, 689101668, 311230058, -1, 508417335, 700224912, 653469633, -1, 464229323, 408972935, -1, 178741871, 628792427, -1, 507263042, -1, 449065255, 743128031, 90190189, 129591007, -1, 959524141, 307651105, -1, 426529000, 42183846, 569898359, 667253669, -1, 709582111, -1, 536352002, 453883831, 535251683, 70593439, 323842166, 460943013, 283778487, 468122093, 229230603, 238272621, 412343481, 836898234, -1, 679163779, 319675161, 897635876, 348597471, 109318799, 933091103, 122795510, -1, 929993106, 558803871, 741498762, -1, -1, -1, -1, 530866049, 324819007, 372511842, -1, -1, 258117679, 405220537, 161346553, 809750944, 552962449, -1, -1, 950493389, 652698115, -1, 837389542, 415500941, -1, -1, 940018970, -1, 272474089, 27938339, 511284063, 82206258, 786479026, 838137073, -1, 301940128, 296488497, -1, 908837960, 919561002, -1, 895149722, 187449439, -1, 920726580, -1, -1, 266419195, 832330314, -1, -1, 274635361, 339736792, 418617431, -1, 215020175, 267565581, -1, -1, -1, 616707660, 949677820, 430293637, -1, -1, 891078771, -1, 789785048, -1, 735054061, 362066084, 881788131, 395982723, 446434711, 901751515, -1, 451495821, 552098786, 886898175, -1, -1, 181373917, 708543346, 348778430, -1, 356659901, 58810368, 525425016, -1, 258468387, 823927827, -1, -1, 692422168, -1, -1, -1, -1, -1, 987325086, 465685333, 831119250, 830134183, -1, -1, -1, 560380099, 411570388, -1, -1, -1, 529132469, 579259258, -1, -1, -1, 173939513, 980311142, 95432643, 739669067, 829735090, 657886599, -1, 596119550, 663077477, 243519181, 575462673, 96057937, -1, 280135439, -1, 30256464, 628983810, 480188384, 986599538, 529132631, -1, 530338589, 18668369, -1, 399739339, -1, -1, 430731880, -1, -1, -1, 629929782, 222583910, 646757240, 265212890, 740223567, 245960126, 45565852, 374917692, 832111548, 141107066, 295088547, -1, 960575859, 34214754, 893603419, 783609328, 630311106, 900269872, -1, 23637389, 792297507, 653896303, 66589913, -1, 111819465, 769905455, -1, 376520044, -1, 117406477, 439245065, -1, -1, 403498413, 552265266, 590802753, 547997057, -1, 686360910, 324757733, 594650502, -1, 170366531, 289634822, -1, 143911243, -1, 87076380, 264449091, -1, 20867205, -1, -1, 857552556, 728420746, -1, 240647056, 837056600, 290126713, -1, 317906840, 184877368, 568627472, 213263629, -1, -1, -1, 776140583, 508994904, 489442154, -1, 560345385, -1, 433424215, 357105783, -1, -1, 961580410, -1, 869675291, -1, 547774813, 583704267, 318357990, 478274487, -1, 713918093, 316325243, 678682233, -1, 340917838, 232783617, 273086265, 189485412, 562692126, 101909460, 533888281, -1, 967915995, -1, 623286282, 168656435, 268447095, 877833991, 80733657, 489705884, 720156545, 410877570, -1, 181194940, 873341450, -1, -1, -1, -1, 173133228, -1, 171313274, 831981683, 154439615, 918667700, 551466793, 43408186, 817249343, 279939832, 7246069, 67878301, 273038224, -1, -1, 443402384, 473136604, 34189797, 887130658, -1, -1, 326007833, -1, -1, -1, 368893939, 401295517, 46017145, 568740746, 523733513, 854255231, 946106668, -1, -1, 651537713, 812855461, -1, 738387555, 343454563, 778642005, 974001376, 421783825, -1, -1, 202299624, 736977303, 20495283, 559698683, 305774536, 481072503, -1, 661074938, 927326498, 938386614, 183469656, 643260126, 454419762, 540184933, 442512928, -1, -1, 75439535, 789684963, 673526260, -1, 640263223, 47756970, 406544278, 517767403, 619642158, 25042025, -1, 697825165, 779042924, 579118755, -1, 297529675, -1, 763154836, 370713283, -1, 208904777, -1, 977081290, 61592673, 726304006, 314058472, 183936070, -1, 57913769, -1, 590979181, 404606895, -1, 112956062, 839516600, 725174965, 477959458, -1, -1, 7361240, 47263593, 669872478, 498699538, 956743213, 761625884, 487278198, -1, -1, -1, -1, 690685309, 964080461, 545596961, 238029998, 221120579, -1, 263450943, 871495942, 888456091, 54727456, 128153993, 667597278, 45072595, -1, 915492395, 580365632, 551514191, 373036144, 87754243, -1, 405245042, -1, -1, 851550975, 917780743, 424240095, -1, -1, 621663030, 148645078, 219479988, 400640836, 950546821, 44216197, 19509020, 49837024, 943948084, -1, 815098354, 864678819, 108225038, -1, -1, -1, 928109530, -1, -1, -1, -1, -1, -1, 683039985, -1, 220183941, -1, 558663476, 440677315, 469787604, 355218287, 212329797, 417869474, -1, 557297676, 31165498, 98900270, 365384179, 139689028, -1, 930078834, -1, -1, 911745789, 706552176, -1, -1, 649138155, 779433376, 828965647, 677507878, 353434791, 361628994, 770613654, 341472193, 269369547, 166012503, 832067475, 187819376, -1, -1, 7241649, 360233868, 814081681, 168625088, 330915541, 434692113, -1, 672148462, -1, 397100026, 338174576, 268435658, 522912474, 724547431, 232461630, -1, 374440662, 450366560, 190999105, 594911275, -1, 558311418, 168403328, 499274218, 465665538, 494475296, 97570820, 760173665, -1, -1, 225900519, -1, 133980306, 206237329, 602416617, 684075700, 805101707, 13856842, 387260928, 300569919, 16523779, 737642038, 11420016, -1, -1, 773506216, -1, -1, 154422417, 248638792, 626267034, 539046417, 508192403, -1, -1, -1, -1, -1, 941625273, 612193912, 566870256, 408979995, 949215177, 68859502, 871446040, 374745193, 620302605, 635744547, -1, 854412402, 659708417, 440231972, -1, -1, -1, 48575118, 948729122, 147075887, 383302699, 230681769, 934661167, -1, -1, 103566903, 289016065, 210129231, 78197645, 338771959, -1, 395596526, 576784676, -1, 653188271, -1, 963018198, 536011455, 819186398, 340932501, 919250936, -1, 90423829, 528696497, -1, 964570410, 516646874, 63414898, -1, 741622533, 568001420, -1, 63349447, 122150804, 294134599, 989681979, 957098973, 927414043, 778859214, 623652985, -1, 283938789, 926668937, 829121344, -1, 925686972, 435648148, 274009552, -1, 295424402, -1, 877645477, 91329785, 179566352, 635284078, 668393219, 345389499, 621303695, 497759805, 436114636, 763587409, 845845236, 799400089, 711627267, 439941398, 167570740, 69036972, 614359182, 624851266, 5168535, 61419954, 55943099, -1, -1, 243192939, 66383380, -1, 365186448, 83637477, 878804469, 72873151, -1, -1, 675513468, -1, -1, -1, -1, -1, 483215888, 181651046, -1, 274806635, -1, 323778809, 260900589, 758365992, 50784855, 510609478, 432117834, 70440980, 27121273, -1, 680832081, 19960520, 924142338, 846630444, 30776369, -1, 107786377, 625144429, 947068751, 83890570, 916437702, -1, 513616054, 526559833, -1, 817002532, 962933735, 649318857, -1, -1, -1, -1, 109305598, 601477293, 910610928, 484690502, 981019275, -1, 690031878, 533961464, -1, 149516999, 781222313, 300114278, 479715669, -1, -1, 436800360, 759056926, -1, -1, 305233329, 912002392, 608733451, -1, 815933835, -1, 945235265, -1, 866116664, -1, -1, -1, -1, 923990293, 196985081, 272701637, 507634232, 634076884, -1, 886228897, 211074734, 560160607, 602983382, 422520531, 831380971, 283943250, 616945186, 132481353, 777838528, 515093568, -1, 434595012, 309523700, 485799756, 120500792, 333002120, -1, 884320377, 314239173, 94317545, 481360279, -1, 669155815, 887830505, 588320742, 457592509, -1, 51234778, 414509940, -1, 768889809, 635745417, 694742290, 592700511, 256196221, 882680581, 764091136, 496925949, 776767070, -1, 584647748, 779150233, 147533235, -1, -1, -1, 133574230, 575163403, 66492079, 890675915, 502715522, 398774856, 724938163, -1, 673049579, -1, 6650081, -1, 763421814, -1, -1, 904129310, 65320290, 642228850, 101840549, 262667862, 684618460, 307740009, 796190464, 710008551, 597244605, 504545951, 385343080, 619468472, -1, 283049547, 560597128, -1, 952284537, -1, 108078421, 292282159, 122825175, -1, 149141618, 167094201, 193591193, -1, 456809455, 294397159, -1, 425989148, 186094516, -1, 595096857, -1, 483350798, -1, -1, 848342647, 595595646, 829677352, -1, 133938342, -1, 585125238, -1, 604050037, 283137923, 314140299, 641176688, 747198303, 306737676, 101144798, -1, -1, 618151684, -1, 422230923, 30134208, 288749931, 573136827, 964121808, 822106807, -1, 73322672, -1, -1, -1, 639131516, 649864244, 445193683, 739250297, 559377383, -1, 927790120, 310339841, -1, 517359622, -1, 561733594, 266109074, 228901097, 678744378, 466452835, 846142381, -1, 78883758, 676640762, 993118842, 41624057, 386763107, 780043347, 730068050, 658005527, -1, 877038172, -1, 154896952, 13565777, -1, 71769864, 123166534, 212498368, -1, 235405421, 786470118, 788615581, 370434103, 512530479, 565716498, 504375963, -1, 793317230, 783966535, 682478159, 114402843, 4538535, 579118387, 783773905, 637341311, 98239451, 964271121, 800328928, 242860887, -1, 386588088, 345332614, 872978563, 667600214, 345324478, 57160622, -1, -1, 362959480, -1, 663513193, 496515902, -1, 200884392, 200410593, 529300604, 71231524, 925385549, 119095370, 961172641, 152289519, 128722239, 74962145, 196974318, 934232191, -1, 719012490, 590914846, -1, -1, 168843596, -1, 763265209, 949597884, -1, -1, 375724522, -1, 207324045, -1, 555453108, 156007411, -1, 147597576, 947835183, -1, -1, 349943175, 107626093, 895679258, 706391427, 159811355, 451289165, 451560367, 667859378, 344577451, 3381458, 322255471, 883473449, 252199917, 499838794, 384307514, 842541890, -1, -1, -1, 554321407, -1, 861789661, 430936311, 310109216, 278841739, -1, 653390580, -1, 62441585, -1, 682354075, 584651266, 816722686, 738633526, 482909196, 531173217, 71447588, 74983216, -1, 487272707, 733077345, 630748836, 266276282, -1, 874832628, -1, 233402391, 788754816, 332005587, -1, 671645663, 352360065, 748871377, -1, 116655863, -1, 231168345, 289124099, 656284254, 741289561, -1, 365043160, 75494911, 775140368, 35478883, 276988743, 458883260, 59990155, 362059318, 803502151, -1, 956930191, 262228269, -1, -1, 777411234, 397464275, -1, -1, 230153449, -1, 359343324, 499707200, 478802788, 980722889, 856242892, 252647495, -1, 553272001, -1, 272513365, 659737058, 354199447, 637083710, 545537922, 389192393, 256919888, 80468751, 502018150, 370225709, 614572509, 674572309, 578095016, -1, 264614150, 964024413, -1, 109538058, -1, 444583865, -1, -1, 460138220, -1, -1, -1, 956503795, 762854300, 673691708, -1, -1, 96844247, 14724038, 355483516, 523588319, -1, 502337996, -1, 279589268, 111322707, -1, 532025503, 994634045, 563395855, 914661018, 605402550, 265908536, 770750913, 932275317, -1, 527508564, 689233276, 516336345, 989580438, 136365045, -1, 311040829, 472818205, 882978979, 479678088, -1, 989151203, 535546559, 522287189, -1, -1, 842712203, -1, 600742718, 907143030, -1, 875130402, 945341399, 521322992, -1, -1, 287078245, 372530472, 406313063, 334900779, -1, 176327824, 83842187, -1, 550576510, -1, -1, 455295633, 92972845, 489136113, 443258471, 970989158, 742750844, 742739381, 817400697, -1, 436274502, -1, 206713459, -1, 754112579, 32892219, -1, 440503114, 718701394, 625863801, 279960806, 698787317, 83796715, 988209164, 609955275, 962270771, -1, -1, 281073017, -1, 853197502, 953060007, 215741806, -1, 180801553, -1, 377344712, -1, 466198490, 642717755, -1, -1, 338723560, 919100547, 69672656, -1, 970217191, -1, 780274961, 966928065, -1, -1, -1, 832731492, 628747674, -1, -1, 795372328, 439378433, 866359930, 852017579, 670697492, -1, 262159383, -1, 761756809, 970329099, 647723210, -1, 431594001, 5302433, -1, 792453110, 3261421, 162289163, -1, 132893771, 483454238, 44288935, -1, 422913408, -1, -1, 458370139, 561948625, -1, 680027156, 952640871, -1, 988176208, 162965643, -1, 275347876, -1, 621802539, 913729529, -1, -1, 633640390, -1, 771972752, -1, 633014809, -1, 741757722, 414228460, 447374929, 201826718, 784478018, 400820783, -1, 724668800, 992670503, 516582055, 670024739, 11225135, -1, 694207064, 735155659, 145482860, 567039511, 74112937, -1, 750932947, -1, -1, -1, 134671259, 848284304, -1, 223444365, 983298719, 300123982, -1, 323662765, 841286480, 675518391, -1, 659964165, 290563489, 272677202, -1, 204975617, -1, -1, 867090985, 917048401, 993154741, -1, 565695512, 259908078, 760646904, 303959971, 545285279, -1, 132833700, 509202945, -1, -1, -1, 810372971, 660484688, 658952920, 19581520, -1, -1, 806407587, 458556233, -1, 510577992, 384935187, 856877644, 85750892, 695438439, -1, -1, 613242185, -1, 709407899, 40518845, -1, 256146490, 547763572, -1, 798127182, 315318556, 762423266, -1, 515280079, -1, -1, 37586843, 920264877, 333067089, 243932256, 526594991, 381610415, -1, 70242288, -1, 373643790, 479790786, 68378910, 709704299, -1, 577391172, -1, -1, 662133728, -1, 643399791, 362317351, 419161805, -1, -1, 592161781, 891334019, 385123893, -1, 458124916, 586899701, 220677697, 112747003, 773444403, -1, -1, -1, 870223445, 493754270, 818485331, 581694944, 224021657, 71427648, 192433227, 111960501, 542571751, 245403999, 213415333, 666404738, 694992085, 673498215, -1, -1, 775320347, -1, 561704331, 45400836, 624724340, 498341341, 552954156, -1, -1, -1, 440993931, 180070696, -1, -1, 860518950, 944242403, 320011965, -1, 129119606, 272754297, 204414954, -1, -1, 62985162, 36530945, 480459111, 573123283, 189503951, 238289348, 966503812, 621312039, 833778841, -1, 245167961, -1, -1, 105598127, -1, 846827920, -1, 996988327, -1, 115618079, 370812611, 218069994, -1, 317597893, -1, 503354514, 87285460, -1, -1, 920668561, -1, 881689890, -1, 238885031, -1, -1, 442832451, 477967979, 733266759, -1, 915128749, 989738551, 209542136, 753115426, 740353371, -1, -1, -1, 611612430, -1, 785833533, -1, -1, 385839068, 69650176, 784088564, 748542500, -1, 386252272, 955522789, 507013684, -1, 593213593, 905256168, 272716930, 515374630, 198763422, 921521592, 996847154, -1, 449775792, -1, 869885445, -1, -1, 427878549, 15345470, -1, 656204069, 451842458, 697313716, 41296689, 706601230, 480921486, -1, 852091550, 464959963, 512104857, 747311844, 407831554, -1, 831329166, 663094266, 943265910, 550100023, 803962152, -1, -1, 970283582, 624348656, 476454419, 37969382, 27731166, 685242378, -1, 791897381, 275364002, 773396361, 782065889, 522786262, 118751444, 868714340, 504714554, -1, -1, 584620250, 758763435, -1, -1, 858115535, -1, 735649228, 333943809, 811642251, 371939288, -1, -1, 281564084, -1, 626673290, -1, -1, -1, -1, 907116888, -1, -1, 255015218, -1, 726957018, -1, 817833177, -1, 414871791, 655354902, -1, -1, 534430597, 990609921, 597598129, -1, 563104204, 918748869, -1, 195923814, 408757006, 148077879, -1, 410375531, 417938164, 530864403, -1, 616744805, -1, 979460726, 821530643, 773844023, -1, 438774942, 924041103, -1, 846130619, -1, 324396628, 417663181, -1, -1, 611436321, 425763500, 516951984, 368383954, 602806119, 255663244, 902992450, 840797806, 558694183, -1, 948420826, -1, 308317778, 566439660, 135940225, 696264867, 948776160, 695048963, 643290287, 629632627, 922543832, 506162107, 756182359, -1, -1, 476132609, 346106363, 478765317, -1, 527749909, 227855995, -1, 447000732, 138618816, -1, 670532177, -1, 201685847, -1, 888937990, 770819399, 220867920, -1, -1, -1, 800073629, 821981429, 429809322, -1, -1, 794448862, -1, 389169857, -1, 927541518, 750401995, -1, 621258935, 227479032, -1, -1, -1, 216756893, 587057541, -1, 33791331, 954887246, 527441347, 408270629, -1, 43329811, 71516385, 43417340, 508821370, 769702378, 537612630, 821782430, 961808217, 228638850, 814367799, 3921645, 962870398, 590724929, 521084292, 58769379, 436793534, 123317013, -1, 37458054, -1, 361495486, 895465263, -1, 642899725, 969569454, -1, -1, 937953741, 757148889, -1, -1, 661813451, -1, 664174555, -1, 761428599, -1, 678913004, 411462653, 536061274, 706952662, -1, 968859930, 490986278, 480695081, -1, 749613989, -1, 39172380, -1, -1, 24460823, -1, 825991735, 591278547, 54696267, -1, -1, 55608572, 41717373, 27923614, 15945804, 750067385, -1, -1, 583447407, -1, 677885798, 101543361, 249887477, -1, 419022277, 307923978, 632237845, 671550223, 99366676, 306980248, 527686734, 19335808, -1, 12463919, 570805757, 617071069, 828107461, -1, 624810226, -1, -1, 141195779, 261607354, 768103629, -1, -1, 612326591, 726790167, -1, 910220688, 739407232, 912242435, -1, 260594735, 935058320, -1, -1, 443572727, 905431411, -1, -1, 172181967, -1, 393710222, -1, 270521835, 710753182, 420412572, -1, -1, 660712855, 415450249, 83437367, 165505502, 935581541, 101456290, 467427191, 903914297, 848100957, -1, -1, -1, 135281298, -1, -1, -1, -1, 340222190, 582063445, 561399722, 484917849, -1, -1, 598602916, 90834551, 419066600, -1, 729124951, -1, 539539667, 822053513, 578539463, 807563648, 421974855, -1, -1, -1, 973733233, 670497797, 76745577, 891994450, 96601512, 295278530, 571435510, 320859410, -1, -1, 810468106, -1, -1, 521626986, 75829645, -1, -1, -1, 190234590, 969509171, 928350064, 651394066, 212723676, 717929453, 755659774, 109187776, -1, 834155855, 70703156, 981872211, 130189746, 82292503, 993037008, 977364862, 674027952, -1, 989707030, -1, 782159449, 246866367, 18817634, -1, 926538427, 365838679, 809645196, 354475687, 393091457, 376369738, -1, 539240477, 160146517, -1, 4638169, -1, -1, 263247487, 53794550, -1, 124244394, -1, 455256729, 223399022, 262288227, -1, -1, 769336543, 23000395, -1, 720404245, 606833109, 336581314, 452226679, 68896963, 192634651, 844105011, 537804444, -1, 33734, 757848086, 851759441, 666635696, -1, 804920538, 815464796, 841563014, 119646476, 391061871, -1, -1, 400001151, 438355995, 474681503, 51216521, 749109629, -1, -1, 550860072, -1, 467831003, 185892491, 298070065, 707996851, 4371199, 262319603, -1, 665846139, -1, -1, 232048974, -1, -1, -1, -1, 367598207, -1, -1, -1, 928399261, 39304494, 725021358, 729145425, 67455279, 592078409, 699713954, 384442244, -1, 409022315, 729275949, 139901605, -1, -1, 733598626, 435211853, -1, -1, -1, 171637473, 574141681, -1, 465820913, 254324178, 259793078, 445693895, -1, 191139337, -1, 660638, -1, -1, 410883784, 218352243, -1, 17580625, -1, -1, 53077153, -1, 962673712, 380935437, -1, -1, 539262616, 961390778, 116777432, -1, -1, 415912324, -1, 688848286, -1, 105863566, 43233156, 336437772, 604616658, -1, 55941867, 706043775, 724527547, 640005515, 62297309, 53434344, 580893330, -1, -1, -1, 235402186, 790810792, 577967373, 164055973, 33073425, 736154886, 542447600, 90319527, 14178915, 604332613, -1, 639315676, 188525397, 189924835, 50325579, -1, 550207945, -1, 827382828, -1, -1, 482912327, 193142834, -1, 489375200, 25513818, 962632490, 109679346, 639673772, -1, -1, -1, 20526104, -1, -1, 751014709, 322169341, 50392995, -1, 736974902, 267306540, 931661648, 659314731, 661150325, -1, 944729818, 953623536, 128609511, 234760585, 939895721, -1, -1, 423966698, 414751333, -1, -1, 673905602, -1, 241949061, -1, 323019538, -1, -1, -1, 902134476, -1, -1, -1, 548069485, -1, 206515757, 392468601, 973441970, -1, 60604365, -1, -1, 175370028, 708722951, -1, 167419154, 133911873, -1, 887964863, 709899333, 643760321, -1, 92296349, 432027110, 443443458, 554508032, -1, 849064980, 366729344, 648612756, 247165521, 474444394, 133492733, 287375645, 613075845, 952406915, 960082923, 254899805, 782008101, 302278719, 514541361, 143857955, 478014136, 30216591, 211299051, 463961759, -1, 30300669, 976550750, 936792556, 741836668, 712558593, -1, 249897698, 505000863, 280857090, 505177210, 746885197, 899860290, 565343896, 520732051, -1, 870280539, -1, -1, 375645856, 736450926, 709920594, 291522018, -1, 300730667, 523997461, 920648324, -1, -1, 784227962, 122931145, 747196124, -1, 442558815, 105303060, -1, 462369697, 801209980, -1, -1, 805415935, -1, 44550166, 332142510, 792478587, -1, 571930499, -1, -1, 176688641, -1, -1, 213495822, 828890255, -1, -1, 90053283, 31400906, -1, 249413699, 389946861, -1, -1, -1, 693610177, 687870480, 802551037, 645711379, -1, 358313151, -1, 299053180, 533065328, 427584517, -1, 394848706, 520803378, 99354364, 42794176, -1, 228969023, -1, -1, 696286313, 284070257, 135204495, 151820918, 377484219, 159672566, 503552979, 203741988, 142057820, 657834111, 912161783, -1, -1, 53086285, 634052405, 830348042, 888398426, 341269928, 911085168, 561578075, 250258875, -1, 268755907, 445798245, 683950820, 982964794, 640890591, -1, -1, -1, 592755648, -1, 222661747, 720131138, 761480044, -1, -1, 697743681, -1, 735279987, 461944749, 439860489, -1, 547536514, -1, 432871470, 747804640, -1, 308803039, 759777066, -1, 898968679, -1, 812044150, -1, 419179059, 824418221, 445869219, -1, 760465322, -1, 968723398, 47973805, -1, 195795313, 788778536, 466435048, 175931905, -1, 718591822, -1, 253900190, 60008968, -1, 377950400, 758827313, 219362304, 148242680, 929986974, -1, 492146991, 71934999, 533921789, 561210901, -1, 822896938, -1, 803361963, 230207534, 918487908, 405577322, 345437932, -1, -1, 721475560, 497118389, 706700290, -1, 641573250, 872549890, 344825209, -1, 404721728, 154090248, 2602214, 489139590, -1, -1, 842737183, -1, -1, 579525483, 618716858, 94502013, 630602208, 747055671, 831284705, 640001345, -1, 931375674, 533572707, 612255449, 381452006, 334683056, -1, -1, 460599329, 817172545, 369101297, 360493102, -1, 314978576, 310718307, 708119639, -1, 887114341, 723877703, 472623430, 418573500, 17585707, 938639799, 730769132, 78546943, 352195075, -1, 71315151, -1, 360152659, -1, 962816137, 64068469, 251159031, 243267785, 277686633, 88281516, 108759838, 312192325, 695574819, -1, 250112795, 607997142, 838503147, -1, 436693361, 668846223, 979613063, 226084393, 485275777, 792928990, 63364493, 118915104, 627218454, 534878642, -1, 841470718, 31790443, 943642976, -1, 577058412, 384761408, 196419001, 769137158, 478677057, 660942817, -1, 695125556, 270391264, -1, 359405458, 966182183, 981734167, 637877968, -1, -1, -1, 919122327, 820402411, 788542194, 70475895, 946989809, -1, 763414181, 58703837, 275172145, 7098402, 760956008, -1, 966707150, 829893396, 931076044, 17567800, 526634772, -1, -1, 606309152, 165722666, 87849793, -1, -1, -1, 478754905, 253785760, 576936068, 228520161, 283348285, 840361598, 384542905, 527405207, 547087425, 742444608, 757187452, 882224691, -1, 355285891, 883716233, 186587213, -1, 640897217, 136532109, 350116943, -1, 200348068, 657425053, 815713799, -1, 64795414, 623923804, 710991585, -1, 836890212, -1, 365497006, -1, 964473062, 927743808, -1, -1, 894493048, 944823520, 853608695, 865944507, 4976082, 302901943, -1, 84707009, -1, -1, 55702804, -1, -1, -1, 642312173, 526058562, 270996282, 732496923, -1, 595745784, 127993324, 846219725, 774207797, 741357081, 293662453, -1, -1, 774360506, 994614237, -1, -1, -1, -1, 39406164, 253884174, -1, 523201796, 681633066, 281455996, 83715738, 690788658, 844040405, -1, -1, 123249664, -1, 941005596, -1, 961082211, 21596811, 715044723, -1, 658594828, 159158442, 239685396, 209945766, 387105971, 937689876, -1, 655473896, 972779050, 118926528, -1, 739493798, 399977835, -1, 733896625, 439866580, 478986617, 611826169, -1, 996222443, 573356051, -1, 63734122, 407120429, 304952418, -1, 948179964, 521613905, -1, 901468899, 202774042, 841617274, 907861331, 571448819, 816224947, 827023514, 357177665, 389612332, 803285177, 917123956, 15652291, 388175425, 880523191, 280687889, 262115995, 968138388, 841417212, 903267366, 20315144, -1, 577199149, 412838646, 745476841, -1, 622239825, 411626887, -1, 918129713, -1, 695400219, -1, 199884515, -1, 652353565, -1, 34803761, 436055341, 546995780, 283440283, -1, 598676093, -1, -1, 643822524, 209708203, 39314983, 147722182, 620401272, -1, 673155467, 670048372, -1, -1, 540166040, 611019452, 472335244, 24901811, 765627252, -1, 838547433, -1, 103359452, -1, 918559822, -1, 871758021, 32183306, 891511828, -1, -1, 668737465, 465459108, 100530983, 113150683, -1, -1, -1, -1, 601317311, 299214554, 677796481, -1, 112289536, -1, 146591682, -1, -1, 393106304, -1, 599319490, 53179525, 256138269, 142973519, -1, -1, -1, 250860118, 60074870, 363874330, -1, 534041291, 335601107, -1, 1041331, 208001112, 303971373, -1, 698260069, -1, 18834096, -1, 369328873, -1, -1, 88680940, -1, -1, -1, 242385914, -1, 820628839, 584695228, -1, -1, -1, 993660158, -1, -1, 614833569, -1, 495538404, 851999240, -1, 863200429, -1, 164755833, 843380230, 843103235, 633758745, -1, 775384776, 528802743, 392063078, 395976576, 539151163, 161941564, -1, 32406422, -1, 514026234, 523266217, -1, -1, 736409644, 939678978, 58111744, 938180525, -1, -1, 563511288, 442686742, -1, 839630320, 321838594, 661627979, 59657202, -1, -1, 980787531, -1, -1, 72116327, -1, 528703046, 938342312, 930392760, 827208329, 759135397, 178090413, -1, 774407942, 474016897, 340757358, 973276724, 305350757, 826089682, 652711508, -1, 11760936, 396348771, 845124877, -1, 324713113, 954614192, 758517716, 806306919, -1, 723039894, 638103631, -1, -1, -1, -1, 311147784, 879654180, -1, 813197594, 428667986, 647796036, 955263324, -1, 651153450, 525955326, 33428828, -1, 870284307, -1, 587510152, -1, 936324005, 538125187, 433390992, 492523180, 952775225, 242404229, -1, 888746847, -1, 617491446, 494482505, -1, 79268684, -1, -1, 77471557, 372484809, 826308568, -1, -1, 915921137, 121775713, -1, -1, 739731867, 132719529, 34390544, 893469934, -1, -1, 663081083, 741273946, 584029436, 250757615, 746462501, -1, 709368080, 382304614, 767208928, -1, 456991781, 57151782, 525922773, -1, 510941939, 163225506, 437203900, -1, -1, -1, 596324710, 740224642, 354998156, 120123307, 43838386, -1, 568687720, 189499527, 167842323, -1, 754084118, 568209637, 583881231, 138641498, -1, 903145950, 701365608, -1, 961260756, 68498233, 848002147, 25787920, -1, 417101643, 593622560, 553153648, 162456589, 456042132, 78120019, 66825472, 908140785, 229416686, -1, -1, -1, -1, 866828876, 326941657, 288761141, 128868051, 773415707, -1, 885625170, -1, 800962012, 366125876, 186348989, 598461086, 949270539, 267712278, 197228201, -1, 110904339, 133869459, 589944015, 697028861, 428778085, -1, 121036095, 489643344, -1, 353836344, 67867052, 129185066, 35864711, -1, 489037230, 507080373, 194280051, 636321099, -1, -1, 861158008, 603944961, 143690191, 423638440, 209546713, 370384580, 644225257, 261671555, 479795789, -1, 948506058, 824122377, 293429006, 306642076, 620096322, -1, -1, 814607824, -1, 340386573, 434709786, 375857931, 400193702, 886603318, 296105953, 236991649, -1, 19294886, 625364859, 158039195, 835423552, -1, 32394048, 946165086, 1852653, 172372718, 298281867, 541688192, 701535153, 647347137, 148582205, -1, 208935144, 117865804, 642951032, 436453999, -1, -1, 570989630, 716661140, 515585207, 715592622, -1, -1, 527361402, 105660176, 563273577, -1, 803165379, -1, -1, 436565076, -1, -1, 634146273, 178555728, 517069629, 998630710, 760059425, 665702436, 115724809, 51341786, 324091335, 274120527, -1, 106897356, 318972946, -1, 329149017, 863929320, 613201611, -1, 266126635, 699598115, -1, 643910472, -1, 721609671, 661553526, -1, 20714926, 139272388, -1, -1, 225885961, 565215154, 234660634, -1, 714399449, -1, -1, -1, -1, 377920879, 434317283, 13998894, 282717962, 890448918, -1, 314285233, 200508803, -1, 775677109, -1, 230293642, 250862732, 121532380, 174863551, -1, 541426606, 828336734, 624163888, 492426689, 831133118, 844491147, 412150820, 548340769, 855963288, -1, -1, -1, 234278246, 894988896, -1, 501921697, 800298515, -1, -1, -1, 453223618, 919457669, 53633091, 158274989, -1, -1, 755999636, 399214750, 155057871, 381324272, 400064288, 326812709, 843402622, 588087907, 631728878, -1, -1, -1, -1, 366650591, -1, 206006338, 766540687, 353641776, 76429337, -1, 336218510, 658534974, 539741052, -1, 612010013, 149158610, -1, 601975074, 93160208, 262978035, -1, 459763833, 534562127, 453206056, 374545185, 983950188, -1, 297227262, 577852816, 644910651, 43025231, -1, 933585375, 549373745, -1, -1, 20240016, 390962740, 563527505, 918367905, 56174110, 599355570, 829349901, 540349350, -1, -1, -1, 340100517, -1, 223305471, 857820880, -1, 841321383, 543252798, 951724466, -1, -1, -1, 7274041, -1, 589721448, -1, 951595695, 477323546, -1, -1, 913457297, 657516453, -1, 680306204, 151585305, 368818333, 202533078, -1, 13646530, 153047701, 489297209, 180072178, 61613336, 97808943, 610191473, 583039015, 922496353, 126276408, 567196640, 509137930, -1, 291235566, 824299493, -1, 311601625, 186383099, 506405728, 311338284, 902240688, 110369591, 886790038, -1, -1, 511268019, -1, 338473637, -1, -1, 346932048, 287526752, 658814425, 895598917, -1, -1, -1, -1, 734833129, -1, -1, -1, 836291352, 773776928, 282412955, -1, 942445360, 782458380, 846050946, -1, 889092370, -1, -1, 981139917, 604249450, 391189982, 919162180, 407351097, 547402757, -1, -1, 500751977, -1, 920403241, 535229848, 427328135, 919315202, 236074653, 704779769, 545652992, -1, 589868788, 561799458, -1, 832353360, 819080473, 40014657, -1, -1, -1, -1, 447572407, 343002027, 709108129, -1, -1, 697382939, 374976789, 822101882, 938918492, 117780896, 602085540, 554593419, 785839303, 922903302, 484097333, 426881155, 428326741, 1390605, -1, 26345441, -1, 738333752, 420971242, 739198439, 229963240, -1, 842015242, 149567250, 573272738, -1, -1, -1, 31007241, 399380343, -1, 389390085, -1, 362538255, 126145837, -1, -1, 390119799, -1, -1, 369694727, 829932193, -1, -1, 769082592, 259734910, 624896186, -1, 477432173, -1, 601741421, -1, 294217813, 926424997, -1, 462338311, 405398694, 899440405, 489874139, 789391062, 366749836, 328503637, 220698202, 462189687, 417103196, -1, 714416491, -1, -1, 979904994, 536041708, 287873800, 252755070, 857793023, 550305222, -1, -1, -1, -1, 885052886, -1, 128378969, 979297565, 538318938, 329754937, -1, 686304974, 637859532, 862447867, 168715021, 769144784, -1, 802998077, -1, 201583320, 856996637, -1, 497153895, 44465853, 946138381, 501336453, -1, 281954174, 996210294, 723482092, -1, 796175822, -1, -1, -1, 665615384, 524927389, 503572558, 430506382, 716636462, 22295716, -1, 481108184, -1, 620127044, -1, 340548421, 887154555, 719724491, 915814075, 714001742, 565342002, 753559689, -1, 395340718, 906886936, 989974973, -1, 962662601, 644268315, -1, 892899074, -1, -1, 225952048, -1, -1, -1, -1, 312075310, -1, -1, 582004815, -1, -1, 489453361, -1, -1, -1, -1, 483859750, 446477771, 674325210, 295215870, 77466417, 676607030, 590842986, 611205949, 352683431, 840857391, -1, 671046648, -1, 304194185, 336421713, -1, 405449592, 465072076, -1, 957083078, 887597298, 907996928, -1, 357932336, -1, 533477850, 133376087, -1, 606607100, 191596634, 150587449, 122068545, -1, 246342010, -1, 436868612, -1, -1, -1, 337770150, 650068711, 500814951, 561381125, 547767091, 586217343, 246416165, 933271191, 131523638, -1, -1, 944159552, 567897611, -1, 399035406, -1, -1, 784614687, 314980743, 274373936, 241736022, 629108419, 836150814, -1, 812696313, 675888298, 977968105, 793804320, 708989415, 691035873, 477511846, 404814380, 206623246, -1, 926343910, 311546375, 792680789, -1, -1, -1, 52490969, 831800582, 265491208, 436807534, 491322718, -1, -1, -1, 201147619, 627118746, 686022573, -1, -1, 585020294, 202969454, 704642025, 25739640, 716821181, 744122691, -1, 164267120, 789264931, -1, -1, 138070868, 783479190, -1, -1, 987689225, 797084740, 188343011, 202486406, 768362341, -1, 531369932, 462142033, 570434219, 721197879, -1, 160118338, -1, 245319025, -1, -1, 470129300, 997822087, 762337238, 887763962, 823285763, 636198699, -1, 725082497, 156668818, 798762618, 472231486, 982025653, 276823673, 987895677, 697069998, 978645256, 925806801, 420541690, 45730698, -1, 786266742, 603217581, 583504515, -1, 923139190, 866192041, 947127662, 190666174, 623390991, 231047645, 26574076, -1, 380693259, -1, 130553660, 322546039, 598651254, 760302995, 910043560, -1, 663797221, 545961469, 304304160, 685084954, -1, 667003769, -1, 658536405, 498980031, 747777180, 912960661, -1, 280238055, -1, -1, -1, 224041588, 997010201, 313518744, -1, -1, 341153061, -1, -1, 438802465, 351164053, -1, 433767385, -1, 220843578, -1, -1, -1, 852277749, -1, 626025714, 522772038, -1, 552846537, -1, 741189767, 999198654, -1, 347282683, -1, 528763007, 592697120, 24280693, -1, 585508196, 90026510, 394859841, 13701118, 961931301, 513660748, 615162076, -1, 59469597, 827373230, 872161994, -1, -1, -1, 697498468, -1, 361024119, 119282212, 54193407, 702317767, 889683022, -1, 975934131, 1233940, 609216480, -1, -1, 502602176, -1, 606854874, 588797224, 98169864, 80561939, 785190538, -1, 302805653, 625583427, 122688682, 427590589, 304010369, 151760400, -1, 138382829, -1, 19402090, 420216977, 739616215, 910887115, -1, 761598124, 404501890, 766882240, 940879834, 473495197, 737333556, 741818938, -1, -1, -1, -1, 198963934, -1, -1, 980449538, -1, 125720183, 377099507, 1801840, 920826792, 908920220, 201698790, 194237140, 355444628, 281279321, 286724473, 447744247, 698115923, 325337159, 714374450, -1, 362338487, 155694694, 940504879, 791888201, 144960053, 190143584, 182423398, 172313126, 542874127, 641861956, 646162823, 495650578, 971631452, -1, -1, 240870608, 995238302, 525183205, 174289237, -1, 872217400, 111823070, 434376182, 580006220, 409115566, 832116691, 106765315, 118006517, 604579165, 382138528, 577285114, 438850832, 793891823, -1, 679857310, 483745032, -1, 367331931, -1, 347050373, 553634485, 795941233, 285009423, 442753062, -1, 817893060, 547520318, 788100336, 469900364, 712188795, 25553298, 164364964, -1, 360973738, 348685541, 181739793, 797314562, 777786389, -1, 840010531, 815426004, 648362020, 558800204, 710285221, 495568773, 55266115, 834182675, -1, 603152995, -1, 762171089, 647803327, 755989932, 759737001, 157187157, 370862933, 165474859, 194797371, -1, 340665978, 291152521, 16564376, -1, 662277894, 993389489, 964492378, 172963130, -1, 145743593, 266068841, 133171594, -1, 174797765, 343802304, -1, 151038890, 95378832, -1, 624683647, -1, 504204521, 207653257, 870629346, 941216686, -1, 536307716, -1, 68994498, 779907926, 112542215, -1, -1, 850616682, 997807913, 248692670, 137776182, -1, 727424791, 31747171, 709743706, 833513729, -1, 319716803, 646602186, -1, 972790378, -1, 802740219, 301464061, 173198107, -1, 407114829, -1, 524853538, 944156915, 232111769, 237624188, -1, 103782622, 168231874, 697360732, 591183594, 744423361, -1, 526142904, 68793671, 373981194, 881863145, 467842276, 255996987, -1, 324641797, -1, 794059095, -1, -1, -1, 308719634, 843888121, 439261015, 975645005, 180024180, 236703634, 304350348, 708528191, -1, 292129385, 925800677, 125151575, 282798887, 17225334, 864583409, 981455445, 556787233, 580581943, 335295683, 83855293, 657325460, 790072286, -1, -1, -1, 299344507, 358410134, 850251032, 476566501, -1, 764704599, 904617265, -1, -1, 827741532, 500714340, -1, 638960849, 172896343, 544240465, 449713940, 710232672, -1, 73911460, 823665254, -1, 336936658, 364401953, 768114402, 257918039, 217206823, -1, -1, 169788625, 440777055, -1, -1, 50529726, 761962271, 688678824, -1, 279986260, 579899074, 680886645, -1, -1, 588593465, 804697983, -1, 443012416, -1, 714007031, 860910292, -1, 899968197, 82987836, 742451748, 100324442, -1, 93588739, 71486943, -1, 795569978, 372633216, 668759502, -1, 292649361, 113742453, 249872454, 920882826, -1, 468613217, 624271043, 555476744, 821637538, -1, 125276695, 828976088, 924190754, 959426937, 335339915, 323506599, -1, 632442792, 587504105, -1, 461017971, 819677256, 73664239, -1, 370334681, 49357886, -1, 871775783, 155235246, 414318749, 978215551, 376409245, 882283583, 173137074, 649859426, 361450998, -1, 208598360, 297197512, 133677926, -1, 857204620, 786316871, -1, 770391090, -1, 187296852, 251943167, 317954992, 815897983, 118842502, 981997717, 356646789, 100506413, 35669237, 727727249, 106185000, 355909894, -1, 458896643, 809489811, 821586154, 211401675, 958018960, 422299480, 690807936, 956603634, -1, 218932290, -1, -1, 553807530, 823566115, -1, -1, 966792353, 603819832, -1, -1, 920847371, -1, -1, 644456138, 885214067, 230259915, 917104848, 492198178, 270107073, -1, 776323161, 71505137, 281912944, 67821348, 998517169, 543035180, 97628268, -1, 843913621, -1, -1, 288654150, -1, 346266754, 327801421, 198312764, 70407735, -1, 464026713, 795402127, 708942183, 448077884, 168749609, 56333967, 825124473, 74446792, 662207615, 725221148, 702879988, 492127351, 117116506, 282187043, 421839593, 729632498, 866040888, 120126094, 956581845, 252606296, 650231756, 832948404, 815113501, -1, -1, -1, 181662685, 973428925, -1, 719740457, -1, -1, -1, 347869542, 579304008, -1, 186034836, 237857674, 577415955, 647172716, 341610273, 809183780, -1, 235286174, 743227279, -1, 22601615, 199766074, 983439991, -1, -1, 320206144, 912449825, 846510788, -1, 893941509, 754340221, 864457868, -1, 505950939, 607760810, 709978294, 84510241, 359951665, 869458733, 866507064, 82419090, 646001613, 783684661, -1, -1, 109886853, 794815945, 566238877, -1, -1, 960217063, 306057444, 405461261, 743587136, -1, 115719967, 257739100, -1, -1, 938800060, 714960835, -1, -1, -1, 658969461, -1, -1, -1, 396369995, 18307417, -1, 41476946, 320088888, 821100829, 108722986, 305624593, 573671820, 737866500, 919290686, 658241127, 887255791, 489664855, 67562882, 267641837, 837177249, -1, -1, 828050902, 854204415, -1, -1, 999606501, -1, -1, 138369171, 745650902, 632591192, 560865542, 570889733, 872686614, 614694200, 209020112, 42320698, -1, 323992332, 592042611, 444525017, -1, 80981348, -1, 892685780, 821211071, 56159299, 830230641, 692687382, 796144773, -1, -1, 694832285, -1, 677550848, 49995335, -1, 988760729, 421166870, -1, 801557897, -1, -1, 757434878, 213849016, 446178071, -1, -1, -1, 347252115, -1, 182799438, 755642113, 13087860, 751938237, -1, 743980151, -1, 371330475, 527406934, 827105206, -1, 734972680, 514777073, 237090673, -1, 764367870, 271067808, 487956699, 572806605, 73059210, 159609834, 921805397, 316527075, -1, 533380591, 580273401, 814940711, -1, 28998744, -1, 420309079, -1, -1, 657185929, 938713211, -1, 479631622, -1, -1, 216368398, 833161304, 371419663, 749746460, 856583278, 439554793, -1, -1, 669522318, -1, 276650919, 390444165, -1, 414158899, 517216202, 10437019, 964971685, 321730327, 382197132, 878537017, 643269962, 342838557, 584676026, -1, 926083487, -1, 570173601, 562594221, -1, 956082000, 519135678, -1, -1, 834747104, 217532483, -1, 153265692, 517277996, 410157398, 895098333, 207012750, -1, -1, 295179739, -1, -1, 70876103, 703939530, -1, 984548348, 439140377, -1, -1, 854876998, 458137941, 2337747, -1, 205869423, -1, 129100565, -1, -1, 897025365, 313228152, -1, 858637158, 260177168, 673930746, 907296271, 635252324, 156701796, 950468661, -1, 883062488, 199845338, 212941171, 318413599, 510343548, 298700003, 698289558, 993222540, 77859119, -1, 552283498, -1, 441363197, 477163736, 251363202, 712816986, -1, 503282481, -1, 828290980, 587022974, 367459963, 228301265, 316134031, -1, -1, 470941502, 166433728, 790054141, 227797768, 779136426, 553443917, -1, 230631918, 760460542, 459850132, -1, 658141369, 581029365, -1, 782842648, 478706781, 484759328, 837967933, 252875774, 825499581, -1, 90783011, 819590472, 832084647, -1, 856393989, 864711590, 79664128, -1, -1, 852797602, 567750103, -1, 49341226, 710212986, 865971431, 448882944, 511291268, 233097646, 995431747, 807890823, 201647214, 793892987, 529133597, 843971894, -1, 657519308, 141474232, -1, 88352205, 838326370, -1, 487189564, 59810648, 223203667, 370407872, 419965113, 114233038, -1, 28884711, 504969469, 637407889, -1, 810190726, -1, 781942623, -1, 791128799, 972838881, -1, -1, 156703116, 44913464, 875325940, -1, -1, 352482269, -1, 606439685, 311710497, -1, 52597514, -1, 373819176, 914749621, 409965037, -1, -1, -1, 730432051, -1, 383262137, -1, -1, -1, 216380932, 783330417, 761584220, 973841334, 578266257, -1, -1, 478461341, 830871056, 741859468, 35676689, -1, 313328622, 873779310, 444830615, 535144757, 560380106, 260894399, 445290453, 15095032, 902950266, 979229112, 731172028, 871554748, 851994592, 632423608, 293837204, 821189087, 65301411, 680150121, 103241018, -1, -1, 287990942, 324615891, 105937885, 405129633, -1, 61022239, -1, 642030007, -1, 252690661, 830329826, 747951989, -1, 167449983, 670196420, 422891297, 377615905, 708340203, 277354199, 369021675, -1, 826645665, 80321236, 32307516, 541227501, 423913925, -1, -1, 294753996, -1, -1, 814145602, 194375688, 925604124, 895172254, 408041088, 661618315, 340755428, 135777548, 148898629, 226651734, -1, 758751213, -1, 592588409, 600237290, -1, 744828618, 860517200, -1, 966968463, 974842199, 852405670, 235002318, 548909882, 231094271, -1, -1, 276693034, 1800988, 812972274, -1, 589340454, 257741632, -1, -1, 141986597, 412903744, 653178488, -1, -1, 730180568, 981958583, 674278074, 892830698, 689056064, -1, 504686185, 553395272, 8318007, -1, 918810295, -1, 937755205, 944811860, 224556832, -1, 464479686, -1, -1, 241943808, 754417802, -1, -1, -1, 703839347, 165957347, 766618604, 850552813, 661811656, 466983707, -1, 556197358, -1, -1, -1, 262724766, 407944308, 481229495, 568860816, 80385503, 694667052, 7035780, 873129722, -1, 315972614, 297689201, -1, -1, 386751183, 643764822, 84395013, -1, -1, 303824007, 254232351, 846120708, 856713122, 118896074, 245513996, 470976394, 777489534, -1, 249814642, 791976549, -1, 860381609, 16326696, 337398505, -1, 986453942, 637682863, -1, 502179815, 902711800, 271155798, 577771225, -1, 995312236, 602156486, -1, 361932379, -1, 650565620, 699075552, 439054182, -1, -1, 316228884, 248954528, 204694521, -1, 169409593, -1, 124551154, 496784234, 4940457, 305893934, -1, 516550419, 143096548, 572443023, 889149118, 313523355, 749962726, 26813609, 517974743, 335501481, 885297545, -1, 454602766, 954572213, -1, 819710009, -1, 344467922, 321714045, 348652569, 795007535, -1, -1, 444043072, 203214874, 328700294, 589601410, 695674854, -1, 3935053, -1, -1, 972004645, 714399540, 941847255, -1, 703930040, 83380369, -1, 612509126, 61052743, 888507177, 919638308, 695198214, 242208224, 312614701, 368004532, 969379271, 344742428, 219417077, 348657627, 752069994, -1, 411512692, -1, 629241513, -1, -1, 699117081, -1, 922700556, -1, 176470197, 442152436, -1, 569641020, 931831502, -1, 271234362, -1, 647861756, 55556224, -1, 400451492, 37170369, 980280671, 993149718, -1, 299492003, 350261006, 585569282, 24351588, 366118104, 549059783, 155866104, 166498422, 656682103, -1, 264957170, 156811185, -1, 243777829, -1, -1, 83773649, 802450692, 581758905, 177371393, 589416028, -1, 726051859, 394734188, 66345094, 225267473, -1, 371885198, 905872869, 998698233, -1, 165168015, 397410418, 871406061, 483267342, 249927610, 978382094, 724496502, -1, 868142604, -1, 658095790, 693792109, 752783271, -1, 473635273, 5112488, 51570302, 130225169, 958158379, -1, -1, 539960239, 406220204, -1, 144730463, 333127123, -1, 721649403, -1, 909509522, 727099058, 491740050, -1, 547408015, 948889775, 120103465, -1, 604259899, 726556824, 856209159, 722811877, 42124266, 5933756, 266421744, 614196794, -1, 857940285, 989185062, -1, -1, 762328613, 597147961, 657656223, -1, 514396443, 530348110, -1, 229385534, -1, 845676651, 237075357, -1, -1, 130597196, -1, 766821279, 315272279, -1, 646739637, -1, 12590195, 807741600, 430793584, 297111360, 175745403, 378922584, 93846906, -1, -1, -1, -1, -1, -1, 321401932, -1, 116886596, 182648757, -1, 620360329, 104544314, 575155245, 358467794, 577297413, 557758788, 573960630, -1, 154785947, 887880497, 65514659, 87956824, 121209950, 621933161, 578050748, 96696626, -1, 477330510, 903368812, 186781357, 330820086, 79403120, 509236178, 146104140, 67202297, 89358441, -1, 458902074, 115851204, 644892318, 601360958, 168469391, 286890162, 81512212, -1, 205962941, -1, 100704805, 401172238, 531536094, -1, 994309572, 427397088, 965252558, 564319015, 85820483, -1, 452792753, 881513881, 769088307, -1, 525851242, -1, 47620290, 33469329, -1, 147199818, -1, 162289431, 880961156, 103363838, -1, 911845314, 157373388, 995663859, -1, 687028001, 793767916, 721334174, -1, -1, -1, 62962544, -1, 674455621, 578392770, -1, 682565904, -1, 760882227, 34370185, 970579873, 344759964, 422882388, -1, 903940080, 881265067, -1, 433877672, 982675005, 757073145, -1, 682390924, -1, 675412748, 640787418, 942427481, 560325251, -1, 510186969, -1, 807602398, -1, 516721813, 359864676, 262962799, 878982493, 177762723, 117388418, -1, 330283914, 216184276, -1, 248223459, 158035844, -1, 296369991, -1, -1, -1, -1, 795617805, 873818899, 964662679, -1, -1, 371026580, 828754689, 567565254, 87906163, 656669343, -1, 225466329, 948121787, 907224687, 471648184, -1, 449871535, 638454744, 180973142, 929886387, -1, -1, -1, 365646194, 836166212, -1, 490012185, 661942719, 446818118, 20107922, 920723648, 743546898, -1, 978311875, -1, 701550946, 621144350, 958728328, 740134257, -1, 737713153, -1, 762547044, -1, 925899069, 779518942, 786741352, 94344395, -1, 741901355, 891034031, 706045658, -1, 421364384, -1, -1, -1, 607143085, -1, 122939101, -1, 401492778, -1, -1, 98039488, -1, 976095990, 260648926, -1, -1, 399084541, -1, -1, 383561510, -1, 979652211, 107274245, 1931958, 223367867, 127140759, 572434187, -1, -1, 868836089, -1, 75352553, 223471108, 122353655, 813453274, 257088413, 608209868, 90978531, 906171774, 42574462, 847063076, 300453223, 975290637, -1, 398232673, 999403894, -1, 682802703, 719273798, 809746514, 128410136, -1, 828141589, 848746428, 325139225, 864592937, 184044542, -1, -1, 518745530, 457253840, 410843376, 475834212, 608076674, 825775150, 715865005, 218883917, 162829977, -1, 66847372, 630572933, 273009504, 540307652, 570585664, -1, -1, 812634952, 180398181, -1, -1, -1, -1, 111247465, 988487862, 124928519, 191353156, -1, 266667948, 515144015, 263914109, 769824439, 195366451, 317418629, 34189612, 85499412, 345460517, 120390838, 883281404, 34541923, -1, 975489239, 218816280, 350043215, 678956146, -1, -1, -1, 430893297, -1, -1, 240559532, -1, -1, 180647455, -1, -1, -1, 132749754, 842511766, -1, 460955033, -1, 3026093, 762832997, 368645749, 648992765, -1, -1, 631747887, 32986074, 699781070, 677422330, 636421929, 885761484, 139920179, 274983942, 9735866, 517106772, 14614864, -1, 298049221, -1, -1, 973726690, -1, -1, -1, 197864910, 171594201, 587952752, 567656797, 518308661, 114070572, 706021232, 14629726, 729058771, -1, 873794193, 862171130, 402065008, 697976221, 689783540, 426797006, -1, 56215630, 505971281, -1, 606377215, 720622510, -1, 506810866, 188471793, 914149153, 201036975, -1, -1, -1, 430799796, -1, 662528464, 244360918, 160202014, 144512576, 139493760, 633588839, 861068793, -1, 596126161, -1, -1, -1, 371454220, 158727496, 605303492, -1, -1, 186641760, 818566411, 206661706, 564517320, 942934509, 416831363, -1, 930455810, 752748924, 495868175, 831288700, 118683597, -1, 458755820, 579149289, 591470318, 108814083, 269429598, 436491213, -1, 338419632, 905493623, 309115340, 998453306, 757949340, -1, -1, -1, 59460889, -1, 3866663, 6077173, 38986848, 546648585, 173644497, 984625106, -1, -1, -1, 712228022, -1, 93901246, 884785066, 734084248, 810331186, 119187389, -1, -1, -1, -1, 555471356, 159069446, -1, 196285771, -1, -1, 211242675, 571967754, -1, 446334194, 51541123, 422255823, 950808022, 642957922, -1, 797031243, 274337402, 212008150, 82008107, 219538465, -1, -1, 86400482, 833223466, 493206488, 992553890, 491582353, -1, -1, 501848005, 570947894, 305134416, 435426545, -1, 409832374, 430274485, 909259163, 644569647, 526799620, 931984503, 721328913, 326575551, 408618015, -1, 370674222, 656575078, 626740193, -1, 716731907, 339706105, -1, 983361313, 259290170, 835259587, -1, 352547232, 944895212, -1, 815967363, 837427512, -1, 690775385, 199986128, -1, 434924193, 81819704, -1, 731286420, 523829975, 903483336, 775514467, -1, 235159491, 187477954, -1, 821352724, -1, 848483236, -1, 307342497, 52962484, 43417610, 664299559, 303672241, -1, 21564789, -1, -1, 656252159, -1, 431308237, 97102195, -1, 440684911, 465124242, 480775765, -1, 239440549, -1, -1, 430870693, -1, 903935652, 670944893, 92038939, 823800546, 695295605, 754399599, -1, 541303178, 99551569, 312751829, 922414585, 101708053, 623509591, 208819103, 499403410, -1, 940824038, -1, 156863541, 85948727, 515361533, 425210137, 941795209, 725807847, 316185885, 359034295, 614374160, -1, -1, -1, 15311562, 511282710, -1, 814846558, 652256914, 769530009, 918143642, -1, 515520978, 773827830, 373515010, -1, 355530712, -1, -1, 655055823, 150632474, -1, 434062869, -1, 736641960, 396289091, 156214467, 294574864, -1, -1, 200455874, 39808215, -1, 994236881, 973912812, -1, 760431746, -1, 118859125, 578543660, -1, -1, 623647682, 410806552, -1, -1, 408819146, -1, 431510829, 480338508, 31537953, -1, 782085225, 447252921, 854623778, 381596416, 811324389, -1, 605825616, -1, -1, 347685581, 236146237, 308274099, 948890051, -1, -1, -1, -1, -1, 880423687, 462048701, 673374275, 574961687, 808312884, 383324274, -1, -1, -1, 381133275, 1026683, 732196905, 84227439, 523606139, -1, 129170190, -1, 729931242, 270304408, 551903488, 200199611, -1, 957172995, -1, 329863749, -1, 37878491, -1, 144388618, 175080569, 507068819, 587265629, 60625496, 716347363, 413967239, 784723070, -1, 47149896, 615283009, 242467823, -1, -1, -1, 766882579, 1026669, -1, 384282615, -1, -1, 952823651, 735138631, 788232258, 437363427, 746303002, 365804294, 551674424, 817786084, -1, 608520412, 987025050, 346097802, 506466323, 308809759, -1, 220747965, -1, 191195769, 512950572, 110764610, 298619855, 871805700, 565617981, -1, 479609796, 50789084, 62775212, 135269350, -1, 796874822, 820858034, 850640629, 58591453, -1, -1, 112991064, 107044786, -1, 124414286, 873958409, 878439592, 577808669, 143017873, 211468326, -1, -1, 489304245, 754998439, -1, 317598856, 173112486, 846486400, 795115044, 622576849, 82895252, -1, 888636442, 285420707, 33574404, -1, 293315054, -1, 289752655, 73708006, 567961880, 133057002, 512294301, 630236947, 929303930, 13268932, -1, 252905657, 192710852, 593441644, 640847976, -1, 963489067, 999257331, -1, 930460528, 651214205, 305660900, -1, 36550806, 767593751, -1, 919210624, -1, 8258455, 817531810, 970262536, 756191893, -1, 926953175, 471243177, 682515311, 22276824, 375631324, 490346007, 199369788, -1, 902882796, 553660852, 853208305, 383894840, -1, 254690265, -1, 753045325, -1, 408509622, -1, 168832563, 778058104, -1, -1, -1, -1, 256341906, -1, 948233992, 678087839, -1, -1, -1, 773000315, 41642488, 995019329, 583578620, 862828607, 30721436, 44406396, 711621045, 573338465, 236351922, -1, 987830600, 692008676, -1, 568137491, -1, 987562266, -1, 432333862, 905564088, -1, -1, -1, 845949975, -1, -1, -1, -1, 905969475, 508135056, 669055013, 815450365, 292033767, -1, -1, -1, 624255185, 380475557, 390362316, 579061666, -1, 648230380, 37180390, 381156657, -1, 402060521, 830355163, -1, 449094737, 90284889, 80605617, 310996186, 694797293, 485707091, 474844289, 945235159, -1, -1, 368257654, 866259894, 862001589, 342027314, -1, 845117053, 356601052, 126785908, -1, -1, -1, -1, 170344101, -1, 993157353, 763407533, 936632689, 597779220, -1, -1, -1, -1, 275390105, 339683441, -1, -1, 738104665, -1, 708302015, -1, 50919525, -1, 268187143, -1, -1, 683017167, 9980065, -1, 740503146, 799760905, 937246509, 445415128, -1, -1, 713130687, 586090160, 368325646, 14126144, 905445202, 773370823, 296826412, 134560945, 149649380, 152245539, 18688663, 59717130, 125849667, 939965299, 192330000, 966818912, 478206250, 474600411, -1, 326210336, -1, -1, 532323116, 320999303, 913538603, -1, 175711986, 105514104, -1, 932171528, -1, -1, 986990351, 28496068, 751209983, -1, 662743746, 465551993, 409540256, 237783027, 506611659, 498625913, 416529536, 684813484, 387885658, 809362023, 953704064, -1, 188066054, 502710883, -1, -1, 210913021, 480417076, 457404135, 430285497, 107015874, 840230026, 955180199, 505721232, 524784521, 100873143, 313715832, 502940434, 285418980, 164126933, 228019889, 810843750, -1, -1, 682940084, -1, 539094353, 49951689, -1, -1, 563040406, -1, 992728992, -1, 507994854, -1, 657456123, -1, 715757844, 989799616, 579068530, -1, -1, 860699395, 683442648, -1, -1, 339846993, 309605458, 299615947, 909247077, 752120087, 281786600, 569682895, 267551446, 76493790, -1, -1, 397107668, 556796667, 36256800, 920956710, -1, 797719843, -1, 230674592, 666199014, 19443657, 797120889, 140559552, 164549732, -1, 757142462, 630194190, -1, -1, 453609841, -1, -1, -1, 532553691, 282390223, 728637962, 750082894, 527586333, -1, 333153654, -1, 401461948, 903899889, -1, 220522883, 303572240, 725390909, 948027292, 237847965, 80248570, 361952725, 709981496, 359911988, 918442422, -1, -1, -1, 937517493, -1, -1, -1, 894129658, 47482648, 577806809, -1, 45109711, 664648279, 534427731, 348169953, -1, -1, -1, 959726857, -1, 305770166, -1, -1, 941245669, -1, 66131750, 517869193, 244876562, 645474223, 341167532, 294995049, 769271572, 611974566, 918681252, 523712720, 950849501, 673158499, 243097954, 372768270, 295470962, 645335242, -1, 565752881, 248963430, -1, 660038014, 324143708, -1, 367243709, 307548318, 50767966, 422804263, -1, 446188596, 337953441, 827838697, 252966296, 257190700, -1, 141378807, -1, 627734234, -1, 505476419, 30659937, 782223084, -1, -1, 14851692, 833135914, -1, 522284874, 64483297, 389320507, -1, 473363085, -1, -1, 590906498, 971071527, -1, 59347421, -1, 370426190, -1, 381032735, -1, 40058829, 195637369, 859966401, -1, 546858151, 661841238, 229047686, 567356429, 611996227, -1, 312226320, 468500096, -1, 841079615, 374755549, -1, 216108608, -1, 882076370, -1, 241172901, 324961716, -1, 206225930, -1, -1, 981625077, 504198879, 842734026, -1, 650660681, 418807603, -1, -1, 260688216, 110208277, -1, -1, -1, 918228504, 121236228, 789342067, 501924047, 412202133, -1, 936491518, 9880509, -1, 213697608, -1, -1, 278321448, -1, 32636753, 905865296, 577033113, 14916845, 119451890, 313107456, 710058053, 6247850, 638937602, 733662707, 748922758, -1, -1, -1, 858636930, 485623100, 995096491, 417563176, -1, 203884481, 916616962, -1, 17063063, 205600096, -1, 476369574, 799644471, -1, 731708838, 15305439, -1, 806264301, -1, -1, 980365888, 268877051, -1, -1, 987715149, -1, 120064103, 597048679, 437176420, 927046054, -1, 494919638, -1, 9975625, 129343911, -1, 514431457, 117393543, 609471916, 389211593, 153115214, -1, -1, 841354940, 656461363, 744318628, -1, 427249061, 670055188, 906596867, 552375837, 860015256, 302649100, 284047386, 675996786, 301245653, 671153849, 673182943, 30066987, 832869088, 964971739, 114953262, -1, -1, -1, 761809984, 669333738, -1, 416567244, 214655890, -1, -1, 747598403, -1, 396045111, -1, -1, -1, -1, 323360267, -1, 210242186, 416680175, 922105218, 624415841, 758172299, 175852312, 657138342, 300688355, 484815294, 274266592, 714080978, 793304134, -1, -1, -1, 464035305, -1, 341235094, 687343369, 413348888, 780589847, 352097083, 102090611, 772570429, -1, -1, -1, 415948633, 709046487, 272763563, -1, 955145960, 759480655, 76063659, 774471130, 751260379, -1, 540463342, 996179456, 45531606, -1, 198176472, 6375041, -1, 93630905, 825757114, -1, 682610282, 731735256, 154679016, 515289435, 741225523, 269750346, -1, 330248879, 262551665, 695134088, -1, 120084778, 416789571, 92879829, 549166992, 226997387, 339371663, 11217270, 586937282, 568961238, 921161719, 94620422, 917951017, 925473189, -1, 775566403, 898736906, 854240759, 940418979, 504044435, 554083127, 546165063, -1, 762808418, 938175336, 487107635, -1, 791215392, 973059469, 693805349, 389874794, -1, 103673120, 878608219, 220183178, -1, -1, -1, 974654876, 234381591, 135728733, 855256016, 381518003, 661453322, 173605606, -1, -1, 722696467, 106746245, 13909744, 814342725, 750435018, -1, 299505263, 417712380, -1, -1, 219530636, 825446826, 689189802, 939937558, -1, 906801361, -1, 280081761, 940640714, 911758022, -1, -1, 263039172, 371439047, 162912700, 870607724, 488607618, -1, -1, -1, -1, -1, -1, 879425486, -1, -1, 815656310, 278596658, 287025359, 668348866, -1, 734725951, -1, 68687087, 963954248, -1, 239391947, 976565129, 109964379, -1, 984502400, 790577541, 250388316, -1, 428355227, 636689579, 852488715, -1, 846043683, -1, 838485153, 721300051, -1, 882392284, 227204399, 188244329, 79657215, 291674501, 976764758, 263212308, 658079454, 202823729, 711285114, 989616616, 8360788, 590159408, 653687657, 679966091, 118281705, -1, 342629048, -1, 784431301, 10073313, 735930150, -1, 860798757, 338610673, 144964711, 918750834, 825122200, 727688289, 96642920, 99976946, 633991274, 326503426, -1, -1, -1, 482410882, -1, 593485832, 746971390, 809413929, 260857025, 139870554, -1, 698349969, 559668700, 141066234, -1, 353004620, 335192409, 809280285, 711676701, -1, 39668211, -1, 641177440, 731258515, 496131476, 337714171, 501683205, 811830892, 655879786, 111038490, 923175305, 295545090, -1, 148437243, 261680959, 435361693, 595683341, 11516825, 886937826, 912800149, 56507764, 537288603, -1, 172317561, 99283299, 480700027, 591439283, 688571968, -1, -1, -1, 127043267, 893202408, 664022338, 395932150, 845979245, -1, 300178421, 509993228, 63420163, 974006174, 118129178, 406302308, 660965314, -1, 704657164, 597465885, 392550136, -1, 386958620, 454125418, -1, 410872058, 512275094, 109235142, -1, 470030184, 173310936, 894964139, 134223383, 482972569, 350280374, 527513825, 766901950, 261642529, -1, 560381227, -1, 50850944, 176146261, -1, 939738977, 410729360, 655266122, -1, -1, 578922817, 301132010, 648741354, -1, 255454097, 142137883, 396443351, 747830723, 566423872, -1, 586255377, -1, 613362266, -1, -1, 183052894, 267762233, 361359531, 331231169, 910266578, 290641127, 718400083, -1, 633322518, -1, 124074478, 169571187, 305841773, -1, -1, -1, 308806604, 739435205, -1, 792539162, 809490423, -1, 528919142, 530817408, 930470786, 532928021, 825284666, 364809615, 492809787, 884521335, 552873625, 647195163, 451754912, 392275455, 167013148, 452845077, 280600949, 861268624, 37417383, 143014861, -1, 818647496, 816506381, 44346044, 751038129, 785133612, 259639501, -1, 718856822, 800732561, 218060313, 108012247, 493586108, -1, 141566397, 976806802, 774318095, 353137220, -1, -1, 947903368, 897820391, 257604487, -1, 151057463, 897358322, -1, 729279564, -1, 291544126, 443529493, 733105538, -1, 677362144, 904043897, 762709275, -1, -1, 834351855, -1, 781185314, -1, -1, 447289328, 75142038, -1, 903050987, 662273705, -1, 86316074, 323506835, 615002393, -1, -1, 543609062, 118797224, -1, -1, 827005339, 770812499, 634558378, -1, -1, -1, 819502758, 258833404, 846887866, 275184649, 398013346, -1, 624464549, 664958349, 626437151, 600439189, 463432897, 934074552, 774987213, 838744497, 661938655, 392804270, -1, -1, 105017118, 823332422, 409733515, 486481695, 300495789, 440721039, 337009035, 133131812, -1, 471121721, 96822375, 944566574, 704982147, 263295349, 61925658, 969379831, 804116794, 97055079, 798402497, 239055657, 445431887, -1, -1, 613543959, 138929125, 247234913, -1, 252635059, 524632623, 384580306, 997454215, 840972242, 351626932, -1, -1, -1, 243793320, 483880253, 193971339, 259621622, 445359442, -1, -1, 896750620, -1, 552818900, 198711191, -1, -1, 97281228, 569630878, 263262071, 966370378, 868454467, 106046570, 104427694, 668537464, -1, -1, 705713813, 626239204, 570119262, 275008134, 360913401, 12644619, 336059467, 457114259, -1, 208576676, 492636004, -1, 50501659, 542442896, -1, 695553925, -1, -1, -1, -1, -1, 209239365, 23564350, 102183485, 665303781, 530202216, 591910665, 567614631, -1, 157200306, 381311543, 349020294, -1, 351650646, 880189025, 354299144, -1, 736610728, 66547973, 51027832, -1, 203545243, 369812244, -1, 961980372, 462137970, -1, 937845569, -1, 700941873, -1, 321909214, 256280346, -1, 974692561, 846827418, -1, 467888470, 680401950, 795993138, 851890222, -1, 208620544, -1, -1, -1, 548802942, 819713327, -1, 814922132, 557077413, 80390313, -1, 313130192, -1, 155954526, 803790818, -1, 470595187, -1, 443416719, 322519284, 481799645, 512594108, -1, 4658367, -1, -1, 713254185, -1, 549764120, -1, 465145303, -1, 788884451, 456657688, 927933608, -1, 949155238, 211335269, 929362974, 549056949, 612028816, 447470787, 172536794, 419873750, 823389273, -1, 209434906, -1, 995868892, -1, -1, 659795277, -1, 172611076, -1, 133009135, -1, -1, -1, 503180208, 59938983, -1, 360472488, -1, 327623107, 394038626, -1, -1, 858747109, 990411668, 558245060, 292493361, 700230267, 648392857, -1, -1, -1, 985751571, 264778550, 654785288, 86399176, 844039693, -1, 157529081, -1, 203170572, 711642737, 300627202, -1, 91576012, 333141014, 231587956, 570043714, 227447747, 809595617, 159252202, -1, 761094255, 543201645, -1, 728333649, -1, 947384766, 473759720, -1, 290451560, 23229636, -1, 697192240, 887524977, 48604665, 464906926, 643543512, 737670320, 240900998, 5626069, -1, 638143163, -1, 487241286, 713558969, 367057116, 312531000, 929715142, -1, 217322282, 39821723, 846199433, -1, 198750004, 67584826, 728493259, 80994266, -1, 699736254, -1, 180171616, 529636036, -1, 721334766, 472688461, -1, 10878918, -1, 560679096, -1, 443405295, 888070227, -1, -1, 59887539, -1, 703557084, 13478860, -1, 52620174, 961961307, 32571858, 423748802, 330799634, 642129533, 657773696, 913999087, 676052799, 265908672, -1, 253985532, -1, 102795789, -1, 300096652, 90679124, 947023843, 689523679, -1, -1, 914024618, 483418741, 151749950, -1, -1, 400678970, -1, -1, 937138202, 741076511, 8801650, 95853050, -1, 360924135, 10977794, -1, 828514985, 217571913, -1, 435551017, 841016561, 806849967, 803647057, 467830597, -1, -1, 949824402, 122220742, 752519, 948726386, -1, -1, 652522905, -1, 721830859, 799669297, -1, 105458914, 589038911, -1, 154799825, 200996432, 936519372, 25691830, 451387791, 77557250, -1, 881319686, 395926054, 430235930, 334471512, 992128126, 326232581, -1, -1, 361627916, -1, -1, 150531791, 961431204, 417781044, 868940743, -1, 560051797, 711138436, -1, 639712719, 807704036, -1, -1, -1, 614968146, 11381660, 449337585, 855466761, 933301987, 181122262, 172998800, 344965764, 663522043, -1, -1, 185503107, 493564145, 96171694, -1, 703043636, 938846431, 721544764, 264559700, -1, 837660, 671303219, 574067857, 259307886, -1, 233242894, -1, 152904365, 392937674, 769252910, 319178713, -1, 299833368, 538303640, 567074447, -1, 533766334, -1, -1, 202638566, 290882485, -1, 348565579, 533046841, 157920686, 107009441, 695130085, 821392520, 139242252, 460577307, -1, 265732155, 126358847, -1, 104941872, 769035950, -1, -1, 810977172, 189471803, -1, -1, 489296471, -1, 91709010, 302234377, 700952775, 666163839, 778314203, -1, 598044323, -1, -1, -1, -1, -1, 583842024, -1, 585642891, 487241259, 11189610, -1, 35176071, -1, 774684017, -1, 976347221, 283158313, 44651142, -1, -1, 731848796, 426156054, -1, 794976746, 90197194, 139977064, 862083233, -1, 666494192, -1, 317025455, 593350448, -1, 278867308, 467206737, 105646898, -1, 814484560, -1, 727944543, -1, 298111368, 209170545, 302560922, 109567492, -1, -1, 963330498, 91894954, 902419211, 786436992, -1, 809961672, 146116699, 20856169, 277659688, 308393617, 175148071, -1, -1, 364018984, 238376898, 64690413, 947470464, 430612878, 586348912, 419455823, 826838786, -1, 514786680, 618451876, -1, -1, 946423893, 860235832, -1, 375123689, 885385172, -1, 980712998, 96750732, 874416636, 300262233, 768452781, 839936468, 253318926, -1, -1, 539723487, -1, -1, 57236602, 336530170, 660670407, -1, 179759258, 629272248, 700417994, 274115318, -1, 984528251, 573371230, 890079180, 695155700, -1, 148887779, -1, 757458577, -1, -1, -1, 974554143, -1, 328874969, 508584879, -1, 921905356, 231346536, 180553052, -1, -1, 229372838, -1, 804137785, -1, 85128433, -1, 844753358, 463044514, -1, 947943524, -1, 977793160, 204305476, -1, 239785701, 472856099, -1, -1, 947034467, 324869100, 208415045, 432308540, 558929432, -1, 621070803, 897169062, 69928904, -1, -1, 442454876, 171620259, -1, -1, 380285031, 124326874, 434691969, 175410743, 126399841, 647087656, 989732622, 735706490, 383424481, 313885954, 849529210, -1, -1, -1, 100195873, 70758732, 100159319, 736941124, -1, 521765424, 620098938, 123960151, 762370231, 210528670, -1, 707681848, 723774200, 634560761, 472010613, -1, 56123009, -1, 290080158, 115328179, 757314297, -1, 580777570, 747189057, 407131548, 907115498, 916782943, 459438546, -1, 794869343, 311318744, -1, 301891274, 973067686, 219504813, 313340970, -1, -1, 405465558, 71918303, 542271829, 80994930, 451997455, -1, 513613036, 773286298, 403515368, -1, -1, 301998302, 335062009, 700527639, -1, 135737112, 534498492, 324412376, 589329563, 965496852, -1, -1, 757840105, -1, 769248915, 822798133, -1, 626787596, -1, 702942378, 848047211, 605321698, 181354490, 472775837, 103900788, 727957278, 892979912, 452512172, 260403340, 56600456, 900906, 814047992, -1, -1, 805818886, 262987063, 180353627, 498148320, -1, 792317417, 920557035, -1, 880241431, 224282573, 329661337, 272871986, 330277541, -1, 439077008, 570863796, 763974951, 369423239, 368035450, 952577022, 351193659, -1, -1, 999942038, 192739533, -1, -1, 805158814, 193164715, 39592348, 447843865, 450064657, -1, 510557685, 501454658, 855900791, 83824625, 25912558, 390000126, 468016618, 801213210, 980838916, 440119397, 73428808, 369789037, -1, 859104290, 24676675, 816185045, 62424546, -1, 142071216, 339240721, 274675403, 371099485, 122977464, 438906626, 670573018, 998736803, 462620569, -1, 699883118, 240165879, -1, 254511560, 499973633, 486183502, 937107785, 401601634, 535554692, 726110670, 674643304, -1, -1, -1, 188659697, -1, 65195275, 422123766, -1, -1, -1, 171516178, 343577782, 544830398, 687655815, -1, 536515253, -1, 944220386, -1, 759349563, -1, 180332445, -1, 840984375, 874000320, -1, -1, 358844221, 89613038, -1, 511887264, 218400731, 317424120, -1, -1, 543347648, 714627699, 344079976, 326007154, 855722465, -1, 26560565, 791691610, 67723163, 961477706, -1, -1, -1, 884437927, 203085180, 981567053, 452758585, 496090704, 81897472, 91116198, 592180624, 781176574, -1, -1, 599242603, 644249683, 122124860, 235886856, 459395558, 928403296, 802367041, -1, -1, 216708907, -1, 176252017, 524207216, 530022790, 267048147, 216765894, -1, 965333952, -1, 111814500, 585534743, 613548735, -1, -1, -1, 310308626, -1, 506464916, 259661592, -1, 439981881, -1, -1, 334659654, -1, -1, 889921673, -1, -1, 828510581, -1, 5589433, 979627346, -1, -1, 409937695, 532425846, 872856158, 135785546, 423324351, 378876922, 366469781, 84911600, -1, 739491044, -1, -1, 814660539, -1, 717878880, -1, 960832838, 772584877, -1, 501284656, 645793815, 15255143, -1, 445717690, -1, -1, 984089907, 245711811, 42617420, 347150616, 397394225, 431816918, -1, 892825346, 405546126, 359281855, 204751127, 531963556, 708323134, 150287311, 289044974, -1, 787015935, 391403870, 859383875, 134122027, 356722542, 953094126, 440359547, 265325875, -1, -1, 567994899, 323967945, -1, 86237785, -1, -1, 775164762, -1, -1, -1, -1, -1, 411458343, 956520451, 222635092, 582348803, -1, 533223340, -1, 602105383, -1, 145516465, 503740751, 50348185, 245079943, -1, 314950172, 546002013, -1, 153676407, 66391844, -1, 600043158, 914437327, 86149929, 735595434, 119903882, 912003836, 516560966, 635104294, 390563458, 205523946, 428732128, -1, -1, 382371101, 293477593, 333441083, -1, 9613669, 4847458, 171092340, -1, 281696220, 578920663, 631344907, 381823130, 3905249, -1, 730662522, 569243042, -1, 684872638, 482986130, 646458729, 328324900, 88901200, 15591661, -1, 172088971, 261347401, 230638778, -1, -1, 443499981, 739074501, 447317284, -1, 548268169, 631644325, 393561028, 703741611, 721784858, 19143644, 103039098, -1, 857703538, -1, -1, 71137049, 185837174, 968006360, -1, -1, 365980394, 549519837, 962394679, 900973064, -1, 74733562, -1, 83244636, 460403073, -1, -1, 955131412, 26244178, 957954087, 735897788, 404486336, 156664428, -1, -1, 398975309, 979095682, 950604748, 446773631, -1, 484704578, 122643202, 35235066, 987604964, 185024989, 871577900, -1, 320679022, 706867378, -1, 582659, 397494815, 149312206, 431679580, -1, 369083871, -1, -1, -1, 935688292, -1, 513267371, 744079303, -1, -1, -1, 533000668, -1, 63387227, 556126762, -1, 360528846, 830680308, -1, -1, 728640877, -1, -1, 714508878, 214674834, 789434320, 669680552, -1, -1, 123413294, 616679349, 125787882, 39513098, 409456399, 496726620, 192046373, 229099938, 321456119, -1, -1, -1, 303845091, 174963361, 459906742, 557298009, 468217250, 87901763, 196118444, 281305329, 570881237, 950233242, -1, 489051567, 819724526, 675524258, 456990505, 782161465, 3664744, 6556868, 984496870, -1, 334120062, 349288849, -1, 105864224, -1, 481509029, -1, 28524278, 541886696, 184890069, 790488966, -1, -1, 912547854, 407602740, 615067045, 451863148, -1, -1, 375556686, 208609639, 520857514, 437904809, 836127498, -1, 578001029, 25778999, 304638571, 88138675, 621884880, -1, -1, -1, -1, 366900210, 550667667, 682510831, 614686709, 694054485, 583896061, 21568991, -1, 486659449, -1, 211229130, 581748810, 537496748, 464316426, -1, 773387664, -1, -1, 199714730, 468370973, 439462359, -1, 653331566, -1, 341991415, 963504420, 855255198, 506813736, 695172514, 115609778, 653842705, 585398287, 270854017, 291964051, -1, 826393247, 625801088, 60418805, 296650053, 555433482, 731781417, 235608338, 910440832, 69680953, 635733268, 670723143, 547390498, 981168662, 961118445, 281973763, -1, 911844038, 335901588, -1, 545818656, 114449077, -1, 607553800, 81127901, -1, -1, -1, 802599860, 882174207, 190367443, 847401597, 537406001, 519089243, 723075866, 693503118, 713574498, 531671933, 249340120, -1, 512206881, 677106978, 453967875, 442900103, -1, -1, 300903609, 758248774, 610547603, 816387318, -1, 38015409, -1, 496296192, 158540024, 420298092, 613964775, 439819748, -1, 841623109, 17408935, 182709449, -1, 531256614, -1, -1, 374284134, -1, -1, 322121330, 941462913, 709976340, -1, 106041990, -1, -1, -1, 590374585, -1, 19915034, 956830625, -1, 830176206, 484139257, 925652244, -1, 755189363, -1, 702682858, 963350083, -1, 168165443, -1, -1, 995150540, -1, 853300689, 432816267, 117837484, 538587599, 809512227, 127888922, 306655787, 871217149, -1, 186356331, 313104000, 347515432, 983717787, 168973004, 135075276, 366001504, 592476484, 916010627, 699803990, -1, 358537572, -1, 42630062, 665831090, 411025633, 24144063, 362985273, 988174970, -1, 84452663, -1, -1, -1, 673184193, -1, 684872344, 211195733, 127807412, 447898130, -1, 916819261, -1, -1, 882340079, -1, 141586495, -1, 492942069, -1, -1, 291422994, 562325891, -1, 687275688, 686454891, -1, 654727926, 160198840, 432519218, 984360852, 49389805, -1, 180817437, 561215055, -1, 708571172, 680000139, 744744058, 837765563, 954557084, 128440476, 449064760, -1, -1, 100770137, 896393729, -1, 87893891, 281979497, 225165069, -1, 45661583, -1, 274810563, 794238716, -1, 788300737, 192710484, -1, 344036367, -1, 26562841, 972753065, -1, 599074134, -1, 782769158, 298937175, 58680634, -1, 44108623, 911950496, -1, -1, 863329832, -1, 381113157, 6657053, 797897692, -1, -1, 675546644, 11583049, 327829101, 242739963, 490120780, -1, 595387802, 83336656, -1, -1, 463473207, 34470281, 716137967, 601154372, 801631522, 989619849, -1, -1, 136683837, -1, 618985427, -1, -1, -1, 531286489, 193195849, 549287637, 46630995, 934013845, -1, 904031458, -1, 816107133, 928160353, 734998628, 118844850, -1, -1, 154266963, 616883052, 821035549, 564908115, 939912278, -1, 429765879, 745596352, 545435598, 527174382, 856394017, 938265959, 474045369, 695887675, 491700849, 512666082, 869306748, -1, -1, -1, 495862908, 748917766, -1, 111164705, -1, 905464370, 252168494, 542277546, -1, -1, 579155680, 300046226, 776008248, -1, 34155250, 831535756, 645336661, 257978926, -1, 166343443, 307106491, 230630354, 603525924, 67387134, 35329385, 503056214, 29825081, 879123508, 738868902, 589446848, 764625133, 406810181, -1, 949832971, 343941940, 900745588, 683112272, -1, 92919913, -1, 217212181, 590931465, 153855772, 434697572, -1, -1, -1, 131483391, 651832387, 601245024, 405796009, 828377788, 934633273, 153451716, 199753857, 70982921, 263103838, -1, -1, 759716439, -1, 948642572, 98807052, 714687460, -1, 449792275, 916281340, -1, -1, 405790214, -1, -1, -1, -1, 879100259, 255989261, 128222176, 623979869, 355547341, 241063647, 601717586, -1, 839000800, -1, 123179494, -1, 855107704, -1, 503402830, 515062484, 351752397, 529013701, 473352518, -1, 20136770, 289841897, 317495772, 965058809, -1, 917886911, 521693579, 142085475, 21330759, -1, 208952484, 784756754, 523277310, 949405659, 98167741, 149173171, 489324082, 264492230, -1, -1, -1, -1, 529517443, 124933161, 35216375, 9531916, 667297756, -1, -1, 100666499, 704058224, 687012310, 582753754, 369375700, -1, -1, 964230524, 964649474, -1, 187599150, 356787054, 951171660, 841971543, 367370128, 99477108, 586781658, 822124485, 652633988, -1, 143695277, 362059987, 326461939, 455546186, -1, 241289460, 443113574, 46905312, -1, -1, 300215600, -1, -1, -1, 751221357, 785641165, 412432574, 40078537, -1, 145284005, -1, -1, 657105560, 326106528, 140140597, 780348837, 194902880, -1, 153730172, -1, 933197208, -1, 708103792, 875319829, 150287521, 141096426, 30011945, -1, -1, 79737485, 965705700, 784199869, 251336217, 102949818, -1, -1, 515328206, -1, 630601099, 25449521, 837306652, 444057010, 297344770, 145515750, 184294356, 431351200, 331705633, -1, -1, 597560931, -1, 824530268, 890478917, 786695289, -1, 412061532, -1, 603965058, 387760649, 107825395, 50612900, -1, -1, 725870430, 919179483, 154274216, 511138686, 497923965, 633343578, 850527177, 840855221, 254395188, 58169073, -1, -1, 951528771, -1, 397769547, 622761040, 651558913, 829382691, 588329449, 251585568, -1, 477402421, 477674352, -1, 390874766, 273559121, 771056358, -1, 555795565, -1, 768721461, 354900930, 976153232, 333939036, 525731118, 936402908, 502754956, 224382832, 234560251, 881211620, 931022493, -1, 185707486, -1, 518228417, 733997470, 529153774, 36064967, -1, 79899511, -1, 378238816, -1, 997740904, 499999316, 464287229, -1, 812523071, 473729986, 802675801, 537527779, 5906010, 159361571, 642904521, 976281127, 755746528, 863553774, 631355870, 749045500, 988477530, -1, 749685816, -1, 831629497, 477163814, 949897386, -1, 262502257, 172159167, 720397206, -1, 988825971, -1, 557804075, 30930831, 591063688, 81365879, 682505447, 639910995, 920596423, 826951488, -1, 83879885, 629430593, 189604307, -1, -1, 689436563, 56317744, 70498395, -1, -1, -1, 37560803, 543166094, 855097412, 788908560, 596101033, -1, -1, 319658069, 537853070, -1, 444208417, 627405131, -1, -1, 90087550, 861753994, 702537845, 964862390, -1, 281861024, -1, -1, 413422096, -1, 429301451, 858493110, 58376995, -1, 119625845, 329282108, 751957923, 440863178, 719421367, 126004714, -1, -1, 52193624, -1, 960194156, 88697038, 951589446, 389794356, -1, 625647990, -1, 812934070, 903146843, -1, 273727005, 369871156, 156357977, 497397803, 657511664, -1, 457101167, 757955242, 245718957, 719838856, -1, -1, 282271652, 424382589, 392635698, 552714447, 723312175, -1, 838929320, 683878137, 157562114, -1, 213232515, 153311718, -1, 684975023, 865687484, -1, 482309636, 562595788, 683668360, 38908354, 862877730, -1, 555883269, 812325236, 586371718, -1, 937608534, 561443419, 97445146, 447548634, -1, 216398663, -1, 607502108, 824770171, -1, 163898957, 314235355, 498311088, -1, -1, 164808489, 591498396, -1, -1, 821765446, 127976711, -1, -1, 757915170, 888438277, -1, -1, -1, -1, 722901277, 589064422, 305501782, 582079417, 897873569, -1, 723518967, -1, -1, 967919502, 662410711, 406090800, 733123110, 130590639, 435654035, -1, 83278304, 887411367, -1, 699348970, 550907030, 279025075, 871211796, 491619211, 753812520, 530936843, -1, 442555091, 904997522, 632457373, 917675058, -1, 955194713, 556119443, 919685530, -1, 827937463, 193637280, 338852854, -1, 734930500, -1, 828147989, 924162126, -1, 873433630, 299296524, -1, 927042796, 914214302, -1, -1, 605165013, 243182180, 99737655, -1, 963562891, 649635907, 407045996, 160132011, -1, 586000440, -1, 991732580, 737740049, -1, 747594805, 27215281, -1, 691724773, -1, 205531895, 943073770, 626169278, -1, 588215654, 476724486, 326354046, 698497583, -1, 591892126, -1, -1, -1, 881961516, 819410268, 187090201, 654292262, -1, -1, 772134430, -1, 477220991, 53603466, 650014381, -1, 899609886, 363453318, 725829861, 305755593, -1, 997262867, 725109347, 77314305, 346897330, 774098288, 396309923, 225984639, 12153802, 595733771, 927916791, 821808898, 212920939, -1, -1, 208053492, -1, -1, -1, 565727347, 39528512, 272836969, 919654719, 342142115, -1, 946136726, 575906288, 680029691, 301607323, 626044005, 51887842, -1, 941164959, -1, 795360312, -1, 581616670, 261271824, -1, -1, 756803081, -1, -1, 639804661, 470290706, 498197286, -1, -1, 452863544, -1, -1, 535004488, 776256953, 979644041, 777304722, -1, 418076147, 264168973, 527504676, 131016829, 937269908, 215128633, 678502308, 763385882, 767413312, 891639388, 446860600, -1, -1, 817751920, -1, 659836308, 120165598, 257402938, -1, -1, -1, 138754271, 78557538, 607454116, -1, -1, 608630795, -1, -1, -1, 321871597, 16040018, 855477534, 532621401, -1, -1, 928028080, 693058492, 696987918, 425930123, 810142816, -1, 206222534, -1, 412035000, 358376371, 543602420, 791226001, 133906212, -1, 560831753, 189725529, 599334084, 946385300, -1, 218597297, -1, -1, -1, 961478059, 551131528, -1, 222478883, 31089633, 111950354, -1, -1, 654783878, -1, -1, 524434192, 836121917, 434095708, 764086640, -1, 760904055, -1, 365325195, 691926904, 33414740, 425023906, 162815961, 194790027, 792992891, -1, -1, 76019836, 895747346, -1, 895553069, 941505751, 389767008, 978909237, 632469207, 643811539, -1, -1, 199472616, 484750289, 83560991, 362470756, 451698720, 382342015, -1, 330099851, -1, 175735915, 929166998, 437880889, 101482275, 149277798, -1, 351467663, 668606345, -1, 989250256, 804949180, -1, 516509998, -1, -1, 403663408, -1, 130309, 877248241, 151480566, -1, -1, 531913782, -1, 790172747, 223038450, 854043571, 51757157, 799528373, -1, 220900930, -1, 358657400, -1, 876411163, 603227536, 666655899, -1, 74131790, 146673763, 689958652, -1, 429966308, 706542888, 10133644, -1, -1, 353528166, 794672979, 559942136, 730080975, -1, 300693108, 644111768, 667138902, 702589093, -1, -1, 741330543, 290343884, -1, 844183872, -1, 279789064, 576872084, 58962406, 500713789, 352508726, -1, -1, 836527839, -1, -1, 569872013, -1, 910258272, 818270354, -1, 770631755, 741732346, 843129894, 888474397, 426322333, 897504170, 848843077, 260209056, 287118345, 306347857, 331278287, 718407558, -1, -1, -1, 333604446, 695036390, 798080582, -1, 610878426, 383198878, -1, 269175481, 346000178, -1, 865150707, 811226396, -1, -1, 420088092, 985707162, -1, 153555774, 476075881, 25659145, 22002903, 483375729, -1, 145246646, -1, -1, -1, 520278027, 718423765, 504594224, 704129226, 533396130, 160210731, 25599688, 732310910, 170784231, 9607772, 175046908, 474277509, 379823783, 409968528, -1, 901889749, -1, -1, 151193551, 124991504, -1, 265011182, 411814846, 813863509, 775431071, -1, 103035971, 417686727, 859277858, 708566836, 245403572, 40536423, 685740334, 273921418, 816891066, -1, 930084155, 220615950, 447199806, -1, 947791138, 176091715, -1, 803257335, -1, 197543755, -1, 787113453, 35961451, -1, -1, -1, 99149359, -1, 134437424, -1, 369067131, -1, 453556992, 733716910, -1, 722188699, 504791600, -1, 120989555, 255915129, 476188729, 797005909, 471589938, 652227000, 511634571, 471059822, 833151507, 800441123, 876765179, 993848857, -1, 135489739, 734083913, 110175245, -1, 658553341, 804694477, 359569991, -1, 728931348, 699017559, 566739031, 839970442, 559130478, -1, -1, -1, 975779571, -1, 144372547, -1, 667620457, 651828571, 12585860, 461256515, 160912524, 49971446, -1, -1, 535410871, 288193074, 895948741, -1, -1, 814923688, -1, 568852996, -1, -1, 173690226, 88525558, -1, 700047261, 802854697, -1, 378956626, 89710084, -1, 9132731, 423147363, 613188231, -1, 542622342, -1, 950872470, 726807652, 19230590, 747732053, 993654932, 777888470, -1, 315471164, -1, 422481930, -1, -1, 834120979, -1, 819604890, -1, 473814283, 282339877, 328073993, 27121412, 60467061, 128881292, 504863828, 694496924, -1, 37289511, 248107920, 288985228, -1, -1, -1, 242110252, -1, 469326884, 253673118, 882118591, 394595885, -1, 100179474, 915727635, 493540371, 975424420, 38542146, 894459234, 557233408, 488669010, 616072775, 774354487, 106200104, 929890025, 715610040, 467688743, 780212092, 628660088, 865487460, 188634387, 260229479, 472584719, -1, -1, 15653272, 270492916, 862718694, 81423384, 874286069, 915260474, -1, 170363978, 418735066, 161040828, 107283402, 273148567, -1, 154932751, -1, 200246639, 511964006, 133853687, 721135609, 512775387, 854830048, 400627827, 657004929, 461297147, -1, 992040405, 887398328, -1, 993801944, 918187637, 881105663, 66955959, -1, 99068644, 665307121, 12560234, 598068844, -1, 797638302, 703442695, 872737223, 405890377, 473255226, 357264056, 496102275, 874209413, -1, -1, 55574455, 874713900, -1, -1, -1, 430164318, 654709920, 551074075, -1, 298282430, -1, -1, 635396328, -1, 223327622, 965150345, 118799643, 713500354, 775829747, 196059660, 346875711, 402738874, 282291825, -1, -1, -1, 647736634, 761168978, 277194227, 262096823, 651508123, -1, 719799072, -1, -1, 144006583, 262609672, 288850235, 749665376, -1, -1, 601124167, -1, 687303194, 771235809, 61881468, -1, 647187419, 607917253, 297075949, 166675199, -1, 738250190, 807567235, 329383974, -1, -1, 407429760, 749101175, -1, 932916296, -1, -1, 431541605, -1, 246986889, 953017355, 113916638, -1, 101712742, 467544706, -1, 596725593, 977774655, -1, 715663624, 152329348, 559242642, -1, 430439884, 468046789, 527505976, -1, 56566525, -1, 12817488, -1, -1, 529796566, 615445347, 303387860, 221981788, 591683238, 874478008, 723576620, -1, 390935130, 614433020, 834124830, -1, -1, 49366485, 45804092, 172515347, -1, 459113381, 622537834, 277107264, -1, -1, 991149850, 943623942, 68210979, -1, 164062465, 346551275, 129326274, 262980253, -1, 779793800, 162036674, 203332636, 108757748, -1, 483319694, 108047997, -1, 157462784, 533660394, 357296142, 428432779, 845322672, 667191161, -1, 368003970, 836942860, 470930087, -1, -1, -1, 831882947, -1, 504461182, -1, -1, 898273644, 987477905, -1, -1, 990383953, 902379917, 733141892, 554371343, -1, 200950157, -1, 836930544, -1, 97795807, 182910930, -1, -1, 955789234, 70476334, 780957687, 69097202, 487416859, 73261249, 142244121, 559533586, 940821585, 362226420, 309786069, 383528516, 801326880, -1, 483225737, 383674940, -1, 659519937, 696512193, 210152372, -1, 270949698, 583573208, -1, 636843769, -1, 807235086, 163371990, 293925764, 597362342, 645380786, 530622049, 571160607, 116490132, 124228642, 820136020, 967256606, -1, 801988502, 543727498, -1, 217679371, -1, 895234391, 413732152, -1, 939163734, -1, 415630925, 579408235, 296399471, 479124596, 669044827, 3529528, -1, 670865289, 988101381, 510325052, -1, 515823372, 866547539, 39390516, 188145894, -1, 980732282, 317611782, 413118283, 284690288, 991721244, 981520141, 937088302, -1, -1, 257073701, 86886183, 426295428, 885165186, 261017128, 581520144, -1, 269569778, 735655878, 66762536, 160448398, 519874079, 467912798, -1, -1, -1, 33699624, -1, 40515441, 78032469, 659209030])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimize_the_maximum_adjacent_element_difference/java_tests/Main.java b/minimize_the_maximum_adjacent_element_difference/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..1d6c1c384c56fb9130bbacfa944d710eb685cab0 --- /dev/null +++ b/minimize_the_maximum_adjacent_element_difference/java_tests/Main.java @@ -0,0 +1,24 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(4, minDifference(Arrays.asList(1,2,-1,10,8))); +} +@Test +public void test2() { + assertEquals(0, minDifference(Arrays.asList(-1,-1,-1))); +} +@Test +public void test3() { + assertEquals(1, minDifference(Arrays.asList(-1,10,-1,8))); +} + +} diff --git a/minimize_the_maximum_adjacent_element_difference/meta.json b/minimize_the_maximum_adjacent_element_difference/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..f97d909ba59263d8358eaf2397e62b679605a760 --- /dev/null +++ b/minimize_the_maximum_adjacent_element_difference/meta.json @@ -0,0 +1,269068 @@ +{ + "id": 3658, + "name": "minimize_the_maximum_adjacent_element_difference", + "difficulty": "Hard", + "link": "https://leetcode.com/problems/minimize-the-maximum-adjacent-element-difference/", + "date": "2024-11-10 00:00:00", + "task_description": "You are given an array of integers `nums`. Some values in `nums` are **missing** and are denoted by -1. You can choose a pair of **positive** integers `(x, y)` **exactly once** and replace each **missing** element with _either_ `x` or `y`. You need to **minimize**** **the** maximum** **absolute difference** between _adjacent_ elements of `nums` after replacements. Return the **minimum** possible difference. **Example 1:** **Input:** nums = [1,2,-1,10,8] **Output:** 4 **Explanation:** By choosing the pair as `(6, 7)`, nums can be changed to `[1, 2, 6, 10, 8]`. The absolute differences between adjacent elements are: `|1 - 2| == 1` `|2 - 6| == 4` `|6 - 10| == 4` `|10 - 8| == 2` **Example 2:** **Input:** nums = [-1,-1,-1] **Output:** 0 **Explanation:** By choosing the pair as `(4, 4)`, nums can be changed to `[4, 4, 4]`. **Example 3:** **Input:** nums = [-1,10,-1,8] **Output:** 1 **Explanation:** By choosing the pair as `(11, 9)`, nums can be changed to `[11, 10, 9, 8]`. **Constraints:** `2 <= nums.length <= 105` `nums[i]` is either -1 or in the range `[1, 109]`.", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [1,2,-1,10,8]", + "output": "4 " + }, + { + "label": "Example 2", + "input": "nums = [-1,-1,-1]", + "output": "0 " + }, + { + "label": "Example 3", + "input": "nums = [-1,10,-1,8]", + "output": "1 " + } + ], + "private_test_cases": [ + { + "input": [ + 155852482, + -1, + 205273984, + -1, + 352105079, + -1, + 676990998, + 220355245, + 630119173, + 785033767, + -1, + -1, + 471165589, + -1, + 406639560, + 321537742, + 155323266, + 480347933, + 202550498, + 355931798, + 113652451, + 641365132, + 610075689, + 269920662, + 501280382, + 488679666, + 895630264, + 738627016, + -1, + -1, + 511758035, + 880391577, + 257430200, + 343985332, + 800390763, + -1, + 42135243, + 36821987, + 176406672, + 95853787, + -1, + -1, + 8909509, + 458364994, + 957068491, + -1, + 404556539, + 318302340, + 859359943, + 874074948, + 405885881, + 46541070, + -1, + 284715633, + 412682964, + 726503190, + -1, + 576571795, + 663934262, + 141937862, + 567542064, + -1, + 24938269, + 617797441, + 805372891, + 825825392, + 685085352, + 776648405, + -1, + 126426801, + 253655918, + 133137312, + 161651910, + 649986976, + -1, + -1, + 93101424, + -1, + 289138065, + 9385552, + 48135410, + 450907272, + 3602831, + 944279429, + -1, + 696375923, + 918845419, + 409799339, + -1, + -1, + 696979921, + 270949192, + 717981256, + -1, + -1, + 431294182, + 681333088, + 929565541, + 574715368, + -1, + -1, + 720691769, + 142662666, + -1, + 812798723, + 88113306, + 751224517, + -1, + 778112862, + 178785814, + 405686943, + -1, + 496682258, + 921247338, + 548982676, + 986124436, + -1, + -1, + 3902300, + 942668248, + 958610270, + 912781918, + 990695702, + 199416203, + 572461540, + 848393460, + -1, + 37511148, + 6652022, + 399349486, + 58465154, + 496215626, + 774338871, + 215651417, + 224315967, + -1, + 591816003, + -1, + -1, + 182754769, + -1, + -1, + 658941988, + -1, + 971441704, + 232824930, + 406783410, + 421133944, + 720174809, + -1, + -1, + 31662928, + 115229020, + 742073631, + 811699720, + -1, + 73436407, + -1, + 983026508, + 988769379, + 520375829, + 821093640, + 594064875, + 915985366, + 207768962, + -1, + 971282877, + -1, + 900781515, + 585333637, + 787382313, + 429817521, + 771287682, + 880291078, + 688892978, + -1, + -1, + -1, + -1, + 859283457, + 222128351, + 364885003, + 435520334, + 815652824, + -1, + 319838497, + -1, + 425757766, + -1, + -1, + -1, + 977672551, + 398319389, + -1, + 84781521, + 772431493, + 29830095, + -1, + -1, + -1, + 321132968, + 11320604, + 908744256, + 827969051, + 546151071, + 930088374, + 48831052, + 773259590, + 225287223, + -1, + -1, + 922880297, + 553350124, + 625040268, + 810559065, + 316633489, + 894499989, + 517670845, + 87293421, + -1, + 521352115, + 679580398, + -1, + 717094256, + -1, + 93976134, + -1, + 689596023, + 66136104, + 740032670, + 430762910, + -1, + 734230232, + 342552162, + 119016340, + 56433536, + 268138471, + 656896371, + -1, + 593722246, + 410411187, + 887803037, + -1, + 391734163, + -1, + 33623170, + 171684407, + 167694917, + 285326594, + 822125946, + 318465929, + 729528987, + 904614376, + 916787595, + 728930953, + 708056130, + 948039852, + 212623405, + -1, + 223107308, + 33105011, + 142126101, + 7672132, + 483139132, + 565312793, + 759530661, + 549040456, + 494806901, + -1, + 498729985, + 990520896, + 993439088, + 699880482, + 352469729, + 487015943, + -1, + -1, + 509904293, + -1, + 948914883, + 108920271, + 428115524, + 380919699, + -1, + 244673908, + 730549119, + -1, + 161149241, + 612601171, + -1, + -1, + 215049745, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 958231329, + 571768233, + 177862505, + 10287055, + 314050111, + 686300880, + -1, + 94899478, + 769023174, + -1, + 159509549, + -1, + -1, + 874121864, + -1, + -1, + 365439729, + 979448867, + -1, + -1, + 116253046, + 522018890, + 543430943, + 1865908, + 69832866, + 83749299, + 962751146, + 832834300, + 167533678, + 526896041, + 166527046, + 564077097, + 19945233, + 32004883, + -1, + 328676235, + 718280422, + 140091181, + 201029828, + 957648306, + 242607131, + 673508988, + 185631722, + 381929241, + 200923792, + -1, + -1, + 271863060, + 769871012, + -1, + 209774757, + 141901207, + 329095055, + 426185971, + 19314230, + 664090958, + 543559637, + 662441217, + 363931338, + 411375537, + 821219956, + -1, + 770479510, + -1, + -1, + -1, + 943664322, + -1, + 85194413, + 176960003, + 786919819, + 88848426, + 235573868, + 965431029, + 907043129, + 89434121, + 947839913, + -1, + 871641813, + 269479873, + 404189289, + 160375893, + 533147147, + -1, + 474191732, + 924973249, + 190500483, + -1, + 212118598, + 223326458, + 327063792, + 774049208, + 848531705, + 744317651, + 291833587, + 717000027, + 366572542, + 214108692, + 10243278, + 235352168, + 7626950, + 498939354, + 901414913, + -1, + -1, + -1, + 57354594, + 651933766, + 445785275, + 477883910, + 129530288, + 582302462, + 632126838, + 645091953, + 93514383, + -1, + 751512463, + 301109224, + 437622477, + -1, + 562523619, + -1, + 418672187, + -1, + 673887953, + -1, + 102638054, + -1, + -1, + -1, + 935645785, + 991978633, + 383125188, + -1, + 208644441, + 455809352, + 381566212, + 743570052, + 553116186, + 830545471, + 330779499, + 779752893, + 635958149, + 237272525, + -1, + 637182667, + 689694391, + 520469623, + 273556511, + 779187614, + 77559217, + -1, + -1, + 436369079, + 919468009, + -1, + 195836694, + 410078551, + -1, + -1, + 602386903, + 453562562, + -1, + 769038879, + -1, + 544177569, + 596140322, + -1, + 369901974, + -1, + 240796826, + 929856071, + -1, + -1, + 753663824, + 413601801, + 153854096, + 374781060, + -1, + -1, + 349296114, + -1, + 861118843, + 277213480, + 212093756, + 706141252, + 634911862, + -1, + -1, + 505606741, + -1, + 753461459, + 778758739, + -1, + 188899174, + 577114015, + -1, + 789507997, + 315816965, + -1, + 488917567, + -1, + 247269351, + 765448141, + 324910519, + -1, + 816059538, + 721171924, + -1, + 263079827, + -1, + 691187622, + -1, + 831247297, + -1, + -1, + 592235746, + 766074930, + 412456344, + -1, + 95356163, + 253434738, + -1, + 498012037, + -1, + 44040051, + 839337170, + 936107768, + 677728945, + -1, + 267430005, + -1, + -1, + 490719431, + 195013888, + 272189663, + -1, + 232668011, + 49421382, + -1, + 248631615, + 52442254, + 968565700, + -1, + 842312375, + 745246894, + -1, + 555287586, + 433399849, + 336941313, + 105507622, + -1, + -1, + 552432863, + 781026942, + 202872915, + 754356231, + -1, + 594598863, + 448142304, + -1, + -1, + 18338469, + -1, + 915389860, + -1, + -1, + 29595103, + 324290848, + 400086012, + 805278917, + 485959405, + -1, + -1, + 109482921, + 800461595, + -1, + -1, + -1, + 630615106, + 555071350, + 220165763, + 537295764, + 982622369, + 292876522, + 696585768, + 26819707, + 805414558, + -1, + 241344392, + 83782803, + 338113709, + 984501009, + 476241541, + 245933479, + 523874938, + 729031335, + 361157157, + 440489994, + 659027497, + 976839028, + 960455459, + 782867548, + -1, + 131198977, + -1, + 86925666, + 265274346, + 872819712, + 89952999, + 220182034, + 239900540, + -1, + -1, + -1, + 229861974, + -1, + -1, + 86756452, + -1, + -1, + -1, + 892817126, + 329148111, + 402166393, + -1, + 765828782, + 454855132, + 168936416, + -1, + -1, + 383028030, + -1, + -1, + -1, + 224331523, + 544233442, + 933521367, + 365747926, + 66358914, + -1, + 500909286, + 768406162, + 290088435, + -1, + 768143366, + 942068163, + -1, + -1, + 390052519, + 502434692, + 171124209, + 857691442, + 197105202, + 499764248, + -1, + 608549766, + 760237481, + 6453876, + 573760655, + 770949923, + -1, + 13345847, + 536422792, + -1, + 589351520, + -1, + 631511999, + 222064300, + -1, + 520388117, + 172438687, + -1, + 698839739, + 565340302, + 635800614, + 544340543, + -1, + 642969769, + 72491371, + 637440297, + -1, + 595556528, + -1, + -1, + 665275247, + 812966976, + -1, + 878308258, + -1, + 63804310, + 17873710, + -1, + -1, + 498191761, + 11836145, + 819752722, + 738454376, + 602573624, + 815510453, + 969479102, + -1, + 850426938, + 484701434, + 472576976, + 705854638, + 170316309, + 97281857, + 507388762, + 207976139, + 533262786, + -1, + 308257241, + 630310899, + 395488545, + -1, + 911275602, + 669054743, + -1, + 63036857, + -1, + -1, + 566397313, + 437600868, + 804322944, + 471134555, + -1, + 355600451, + 389250280, + 532728143, + -1, + -1, + -1, + -1, + 494381316, + 414146244, + 780155046, + 93765229, + 340242420, + 725440447, + 139397114, + -1, + -1, + 34756008, + 706022679, + -1, + 209209451, + 684455099, + -1, + 209874822, + -1, + 147889351, + 513854782, + 127279807, + 759411958, + 974972346, + 110927087, + 365289219, + 622728237, + 585186704, + 791894281, + 89873235, + 665332964, + -1, + 970664790, + -1, + 444779384, + 387132788, + -1, + 607142426, + -1, + 980566709, + 162057494, + -1, + 78739608, + 654678277, + 353110466, + -1, + -1, + 410518308, + 374359689, + -1, + 558256715, + -1, + -1, + 663042608, + -1, + 997269334, + -1, + 629510502, + 124528685, + -1, + 474505381, + -1, + -1, + 568999772, + 912056229, + 535271624, + -1, + 669091312, + 877517148, + 104987929, + 87461788, + 275420166, + 19086011, + 156373761, + 835131934, + 831243861, + 652656981, + 123460124, + 227092646, + 847384923, + -1, + 9866199, + 962642198, + -1, + 898900534, + 712291594, + 267190182, + 687541391, + 48612456, + 308621316, + -1, + 874726080, + 943302433, + 93440026, + 269754923, + -1, + -1, + 91897044, + -1, + 472369872, + 996657637, + -1, + 652471265, + 393314675, + 197347187, + -1, + 26931867, + 895164586, + -1, + 651998511, + -1, + 655187098, + -1, + -1, + -1, + 161941748, + 399914124, + 405878466, + 728929569, + 496053308, + -1, + 496196161, + 857845466, + 636628849, + -1, + 266371654, + 186047677, + 858186157, + 767619861, + 926062567, + 428132826, + -1, + 528065731, + -1, + 15409167, + 257943787, + 617551450, + 870857520, + 36413167, + 139855796, + -1, + 70640707, + -1, + 915290013, + -1, + 176721226, + 626637110, + 127638234, + 29260240, + -1, + 905371497, + 24569986, + 178464793, + -1, + -1, + 710908763, + 26348624, + 784596790, + -1, + -1, + -1, + 840593890, + 398469595, + 883648431, + -1, + 860663365, + 1165443, + 98479313, + 675174824, + 397480348, + -1, + 71822596, + -1, + 489053873, + -1, + 379738941, + 108677558, + -1, + -1, + 17002615, + 831674286, + -1, + -1, + 279461982, + 998408411, + 774502570, + -1, + 893607932, + 65080823, + -1, + 163866954, + -1, + 19981737, + 416743296, + 194215675, + 122909798, + 478448305, + 717889049, + 526261582, + 127154664, + 438777398, + 359940456, + -1, + 910753099, + -1, + 581993442, + 276928708, + 807629922, + -1, + -1, + -1, + -1, + -1, + -1, + 270263174, + -1, + -1, + 986286645, + -1, + -1, + 592924957, + 695907093, + 596874487, + 121296760, + 451903182, + -1, + -1, + -1, + 818949098, + 421730078, + 864284308, + -1, + 561127798, + 612159094, + 764409793, + -1, + 801633037, + 135587801, + 791589276, + 701611567, + 547556985, + 909993384, + 713580753, + -1, + 543389097, + 966895619, + 891485039, + -1, + 794227237, + -1, + 432672627, + -1, + 201428717, + 869988717, + 847363908, + 586362023, + 314205494, + 588323024, + 462177744, + 669609452, + 929799977, + 390552478, + -1, + 984751521, + 484192684, + 998168746, + -1, + 951581843, + 163950817, + 597655713, + 286785543, + -1, + 716814617, + 213097186, + 236733190, + 393315503, + 283087448, + 863691741, + 13768029, + 792384354, + -1, + 991412471, + 234223520, + 348940542, + 239717011, + 818593652, + -1, + -1, + 5695581, + 584943112, + -1, + 246072530, + 111780362, + 597541527, + 758726853, + 248777227, + 296372836, + 943453377, + 865969914, + 848185435, + 730332050, + 949855934, + 849633150, + -1, + -1, + 178576570, + 580952275, + 426361625, + -1, + 621492192, + -1, + 822859681, + 93292626, + 525434760, + 697609409, + 861968047, + 411852188, + 419341243, + 81032438, + 214514305, + -1, + -1, + 675760013, + -1, + 68685008, + 858603600, + -1, + 936051069, + 886278398, + 6238896, + 531892929, + -1, + 81818231, + 972726287, + 966017297, + -1, + 252436211, + -1, + 527180635, + 696676738, + -1, + 949502088, + -1, + 501793971, + 508556641, + 144717404, + 45781564, + 54379575, + 141417807, + 473350364, + 285343388, + 80117662, + -1, + -1, + 937448826, + 527052977, + 304652105, + 679331513, + 81058301, + -1, + 866000260, + -1, + 948868386, + 331641377, + -1, + 323796468, + 610320545, + 433979216, + 203941326, + 34396444, + 282684306, + 853294153, + 11521547, + 617964908, + 44620667, + 364054933, + 182482877, + 987470593, + 4266914, + 659387675, + 607730846, + 118933425, + -1, + -1, + 438410278, + 47115188, + -1, + -1, + 102943518, + 254132383, + 343962284, + 426613373, + 21782075, + -1, + 186923987, + 770305993, + -1, + 470115757, + 914229857, + 900011773, + 700640248, + 706697219, + -1, + 691813428, + 317374610, + 174036199, + -1, + 972223311, + 8197149, + 779280915, + 155051339, + 956528327, + 996621130, + -1, + 164521505, + -1, + 735667962, + -1, + -1, + 113315267, + 973903555, + 140275706, + 232355190, + -1, + -1, + 441807981, + 229927280, + 499456794, + 175731118, + -1, + 171434219, + 484611813, + 50685925, + 968133286, + 343153466, + 632779074, + 104170376, + -1, + 159455691, + 129854629, + 713665994, + -1, + 362600332, + 802198067, + -1, + 901124304, + -1, + 601042969, + 730212492, + 282591301, + -1, + 771846461, + 387730401, + -1, + 771430147, + 575463992, + 984682670, + -1, + 456591668, + -1, + 560500667, + 972234715, + 450383816, + 180330194, + -1, + 739005220, + 30434976, + 948417366, + 723640685, + 985687452, + -1, + 982046359, + -1, + 836707566, + 719287821, + 587742505, + 943977916, + 493742281, + 660065843, + 5575539, + 331057415, + 57996060, + 30768574, + -1, + 877145733, + 846195062, + 230582330, + 252612333, + 761940057, + -1, + 607502391, + 35543049, + 815696933, + 601067376, + 44374179, + 759148719, + -1, + -1, + 756518312, + -1, + -1, + -1, + 284776568, + 307873660, + -1, + -1, + -1, + 610089270, + -1, + -1, + -1, + 488913727, + 939141078, + 289289847, + 172259987, + -1, + 509793787, + 786453141, + -1, + -1, + 987535408, + 56346989, + 823221559, + -1, + 743508522, + 961618761, + -1, + -1, + 21752719, + 999018228, + 473273777, + -1, + 39285159, + 741734834, + 198096226, + 183402306, + 205482700, + 593778052, + 588522235, + -1, + 10470480, + -1, + 276485585, + 470088237, + 266305032, + 245963342, + -1, + 899953027, + -1, + 328500704, + 716601365, + -1, + -1, + 556182224, + 533423778, + 717457973, + 383503360, + 941588964, + -1, + -1, + 730217698, + 783445059, + 253298054, + 751125224, + -1, + -1, + 557196195, + 621667328, + 379427599, + -1, + 791955793, + -1, + 767606458, + 819220125, + -1, + 739109992, + 7044563, + -1, + 111205679, + -1, + -1, + 895929648, + 179906368, + 413478791, + -1, + -1, + 872777569, + -1, + -1, + -1, + -1, + -1, + 67064885, + 230961986, + 268475367, + 819140724, + 180823946, + 468916229, + -1, + 663587333, + 972454822, + -1, + 66232371, + 379785634, + 585610123, + 233457324, + 369712845, + 445795506, + -1, + -1, + 137317029, + -1, + 212259000, + 691693250, + -1, + 74648910, + 313424240, + 598635797, + 867958308, + 931748562, + 638174086, + 363779574, + -1, + -1, + 576832034, + 790627754, + 163449226, + 501580886, + -1, + -1, + 397799427, + 171913627, + 34795484, + 109381712, + 753453229, + -1, + 421847874, + 9402727, + 669572652, + 812020174, + 182214697, + 736298061, + 750981916, + -1, + 93775703, + 787022624, + 472456458, + -1, + -1, + 560985060, + -1, + -1, + 613741678, + -1, + 671804770, + 21523146, + 963814190, + 875962979, + -1, + 782488929, + 91584694, + 991391888, + -1, + -1, + -1, + 870053037, + 373501812, + 825317370, + -1, + -1, + -1, + -1, + 322116947, + 505807018, + 746391364, + -1, + 576681881, + 2251309, + -1, + 705925248, + 57275518, + -1, + 822118862, + 486634669, + 933386083, + 113554943, + 454431518, + 168987635, + 956221655, + 215470310, + 75890158, + -1, + 429724573, + 809541639, + -1, + -1, + -1, + -1, + 927381449, + 818293439, + 997255894, + -1, + -1, + -1, + -1, + -1, + 49829444, + 302234223, + 931137721, + 476490970, + -1, + 119139285, + -1, + 458588555, + 743060457, + 273655292, + -1, + 685244186, + 819812548, + -1, + -1, + 225582190, + 750074705, + -1, + -1, + 943459749, + 350694600, + 358529687, + 350675432, + 390144670, + 327225073, + 55606518, + 182429423, + 624422017, + 356797874, + -1, + -1, + 688824860, + -1, + 12635989, + 694190529, + 49027464, + -1, + 337499634, + -1, + 571538041, + 85658754, + -1, + 596481113, + 354695190, + 414709615, + 456042981, + 872618295, + 909530040, + -1, + -1, + -1, + 249125284, + 940894252, + -1, + 708883161, + 75402180, + 399152729, + 899617969, + -1, + -1, + 570922789, + 903966708, + 345797098, + -1, + -1, + -1, + 860169002, + 715851260, + 946270387, + 898497596, + 705513148, + -1, + 867741956, + 902610070, + 500800476, + 706765709, + -1, + -1, + 793433663, + 3796130, + 675119956, + 941825674, + 215253254, + 824961, + 675445922, + 82158812, + -1, + 706648372, + 506533052, + 14259595, + 606220511, + -1, + -1, + -1, + -1, + 827524040, + 795693044, + -1, + -1, + 575856371, + 331168848, + 146892833, + 219070299, + 911167505, + 218547042, + -1, + 896291430, + 478930101, + 580960190, + 419504857, + 998254168, + 557534048, + -1, + 271178357, + 843837533, + 252154665, + 549449596, + -1, + 869964526, + 388146185, + 632752039, + -1, + -1, + 517029543, + 3680897, + 446952337, + 646386810, + 920245298, + -1, + -1, + -1, + 950994745, + -1, + -1, + -1, + 434505353, + 186801161, + -1, + 363899051, + -1, + 174678291, + 426937643, + 715716690, + 712984839, + 518743681, + -1, + 155693107, + -1, + -1, + -1, + 198075428, + 739787386, + 388740916, + 517905558, + 708819351, + 485771234, + 187930611, + 84333685, + 484019785, + -1, + -1, + 866036371, + 478258583, + 994502752, + 749241153, + 359882171, + 774958950, + 205278305, + 241103658, + 70035291, + -1, + -1, + 68831592, + 942220512, + -1, + -1, + 347102073, + 443312625, + 810857460, + 298788103, + -1, + 401030214, + -1, + 384316216, + 10298123, + 88471077, + 499559713, + 797821339, + -1, + 825744917, + -1, + 834950604, + 453687078, + 757631231, + 327028413, + 294335107, + 905044796, + 603705597, + 710597339, + -1, + 685101555, + 448662725, + -1, + -1, + 179168541, + 222336722, + 839029448, + 268753547, + 586858661, + 667301170, + 419008941, + -1, + 26596319, + 6212034, + -1, + -1, + -1, + 132674575, + -1, + 528907829, + 644574118, + 147391754, + 943362536, + -1, + -1, + 865199073, + 135589768, + 317021314, + 326862886, + 725291621, + -1, + 310808129, + 959367291, + 846318099, + -1, + 279942469, + 778730056, + -1, + 582205885, + 66572822, + 241185129, + 614073048, + 767293947, + 436028767, + 509755386, + 526338077, + 822354448, + -1, + 159105572, + -1, + -1, + 484246300, + -1, + -1, + 814203662, + 227244, + -1, + 96480264, + 493517259, + -1, + 975191849, + 806758432, + 587106308, + 399556808, + 655156621, + 748065795, + -1, + 864108844, + 129615040, + -1, + -1, + -1, + 811133230, + -1, + 385429102, + 344792554, + -1, + 817908309, + 953453830, + -1, + 477944089, + -1, + 788059334, + 20113808, + -1, + 343885461, + 53183325, + -1, + 632293089, + 987357034, + 586851285, + 321717633, + 659200760, + 408837080, + 980737827, + 886236787, + 744561534, + 401478848, + -1, + -1, + 982270079, + 37922036, + 752335873, + -1, + -1, + 187863690, + 189149832, + 926177671, + -1, + 201730988, + 105110202, + -1, + 249378570, + 656890314, + 284574263, + 553353925, + -1, + 158522345, + 672853425, + -1, + 326528074, + -1, + -1, + 54234820, + -1, + -1, + -1, + 869363692, + 86368639, + -1, + -1, + 929737761, + 320666451, + 667737141, + 303812377, + -1, + 454854662, + 161058915, + 210567996, + 197323011, + 629895759, + 57100607, + 933040783, + -1, + 655142746, + 325824634, + 408835563, + 961978525, + -1, + 829380018, + 425084262, + 369949749, + 654685885, + 145203242, + 262598582, + 12186226, + 825448219, + -1, + -1, + 927446457, + 906189960, + -1, + 102023173, + -1, + 900118728, + -1, + -1, + 721445384, + 700451191, + 899353173, + -1, + 841602184, + 846857980, + 55592211, + -1, + -1, + 303812041, + -1, + 194055572, + 787617858, + 613014152, + -1, + 877314704, + -1, + 428576461, + -1, + 19948185, + 400052048, + 868320868, + -1, + 195923193, + -1, + 728510028, + -1, + 614357141, + -1, + 707025247, + -1, + -1, + 668841896, + 868500787, + -1, + 298781347, + 290085639, + -1, + 943483590, + -1, + 90457320, + 50755222, + -1, + 843544597, + -1, + 977986568, + 3574030, + 615294446, + -1, + 972099978, + 434745856, + -1, + 762433713, + 600178211, + 465403863, + -1, + 847666175, + 984412080, + 594294161, + -1, + 750761505, + -1, + 474831281, + -1, + -1, + -1, + 956525365, + -1, + 77490841, + -1, + 290888866, + 934603375, + -1, + 863161934, + 360160336, + 151482550, + 99919941, + 534072607, + 89952823, + 899066621, + 703987549, + 267775415, + -1, + 952708981, + -1, + -1, + 650508668, + 645222656, + 448443534, + 629216295, + 270095402, + 645146781, + 816471005, + 690590416, + 179833645, + -1, + 708707770, + -1, + 276475477, + 358002211, + 999812301, + 662802782, + 219229960, + 150286470, + -1, + -1, + 963222472, + 281132979, + -1, + 946927255, + 785345218, + 779712601, + -1, + 782444951, + -1, + -1, + -1, + 431378349, + 260123348, + 321857551, + 122712837, + 482614605, + 55706949, + 849007973, + 816473482, + -1, + -1, + 209990034, + -1, + -1, + 282186728, + 140874875, + 544052919, + 716646737, + 505772140, + 582342522, + 858483933, + 921187764, + 481169140, + 105246661, + 198619839, + 473816610, + 547728425, + 27722567, + 52425973, + -1, + 404671133, + 173629915, + 410992808, + -1, + -1, + 164662162, + -1, + -1, + 178623411, + 150730141, + 856411458, + 83829555, + 170141470, + -1, + 577025699, + 52329559, + -1, + 985930073, + 648309260, + -1, + 343610758, + 646203030, + -1, + -1, + -1, + 875726018, + -1, + 293872790, + -1, + -1, + 567545468, + 48009937, + -1, + 667682772, + 5174755, + 791975231, + 236855497, + 207504678, + 468517963, + 925358864, + 12119925, + 230282982, + 733608513, + 888802144, + 260034760, + -1, + 111172631, + 991534058, + 525972210, + 532342981, + 185891767, + -1, + -1, + -1, + 667207996, + -1, + 147303219, + 498019640, + 694109240, + 390839125, + 705064993, + -1, + 689255677, + 532152719, + -1, + 536194621, + 779691377, + -1, + -1, + -1, + 603049307, + 676171507, + 213339600, + 573127823, + 986477849, + 169246231, + 384661924, + 608615189, + 268430231, + 155606963, + -1, + 787253656, + 342505083, + 213544975, + 450123929, + 877341137, + 459217104, + 636759655, + 384315820, + 398606876, + 419353207, + 91521365, + 28287460, + -1, + -1, + 746854055, + 15028489, + 454299287, + 475032239, + 457548371, + 692926465, + -1, + -1, + -1, + 974859214, + -1, + -1, + 82564084, + 291760001, + 400673792, + -1, + 926457622, + 117243208, + -1, + 58727767, + -1, + -1, + -1, + 659469549, + 333915382, + 852174652, + 605183804, + 599873396, + 345618167, + 730157913, + 675333468, + 571623284, + 996400286, + 351327602, + -1, + -1, + -1, + -1, + -1, + -1, + 190855627, + -1, + -1, + 237274798, + 470173095, + -1, + 93762238, + 16422966, + 194556749, + 747385196, + 456600316, + 534013789, + 962221115, + 461874863, + 879259395, + 275130967, + 864076738, + -1, + 920877005, + 148338171, + 668744482, + 574013487, + -1, + 112252553, + 327405628, + 772631758, + 734325537, + 782666888, + 196533193, + -1, + 186396840, + -1, + 104810381, + 677681551, + 899574696, + 845334583, + -1, + 526617207, + -1, + 622385471, + -1, + 922045574, + 721645223, + -1, + 357712269, + 884737976, + 302433675, + 661039752, + 67048018, + -1, + 87838669, + 48831857, + 592183323, + -1, + 296755907, + 297967783, + 386844583, + -1, + 691149661, + 643497475, + 101981767, + 59667753, + -1, + -1, + 871985410, + 254442913, + -1, + -1, + 385287686, + 863496907, + 316337325, + 986877580, + 116729615, + 107359391, + -1, + 723168468, + -1, + 443398844, + 341314541, + 934664041, + -1, + 20290078, + 685567578, + -1, + 87270525, + 962902564, + 497542774, + 754705669, + 51511229, + 219592717, + -1, + -1, + 377393586, + 757763376, + 582763586, + -1, + 975428445, + -1, + 803077942, + 341764299, + 155997533, + 614483303, + 734354651, + -1, + 875882700, + 199862303, + 657790428, + -1, + 585329084, + 201487912, + 974216165, + 31433967, + 51989574, + -1, + 873000222, + 348958833, + 850927162, + 818345800, + 181530769, + -1, + 920547641, + -1, + 126417918, + 684234475, + 84147339, + 347921497, + -1, + -1, + -1, + 89321920, + 592082615, + 982040408, + -1, + 263772749, + 796224862, + 895537959, + 991636148, + 641265719, + 119474506, + 783463909, + 806466133, + 202796708, + 557137725, + -1, + -1, + 986787664, + 653892683, + 520151029, + 302111394, + 351728934, + 607855978, + 353385776, + 444394391, + 293573902, + -1, + 750299999, + 749336266, + 611865359, + 859854796, + -1, + 757582703, + -1, + -1, + 693480278, + 800368278, + 651545615, + 152880443, + 593954922, + -1, + 525829248, + 557643749, + -1, + 701775724, + 636324911, + 966224294, + 955383799, + 404518699, + 662893625, + -1, + 963156504, + 955478729, + 445574103, + 515752330, + 760280516, + 998909745, + -1, + -1, + 343351663, + 196639494, + 237979921, + 445803828, + 943451861, + -1, + -1, + 350793857, + 181965102, + 448153858, + 179204385, + 837373161, + 409617676, + 74281943, + 168829659, + 778791797, + 658978767, + 311393182, + 233988419, + -1, + -1, + 390451082, + 494800763, + 686998642, + 225348267, + 698292273, + 958966203, + 257716151, + 503790697, + 485763862, + 423107521, + 545156339, + 377403794, + 421252195, + -1, + 133106467, + 126442183, + 301689689, + 976575324, + 38949300, + 474111350, + 696154783, + 690470198, + 191774853, + 420369741, + 889528149, + 506792138, + 145587378, + 325146236, + -1, + 797150628, + -1, + -1, + 70290626, + 115633693, + -1, + 785802716, + 970565184, + -1, + 929797875, + 479128505, + -1, + 730354402, + 74714551, + -1, + 472315991, + 648998846, + 566732730, + -1, + 910931915, + 717768579, + 944692694, + 305124658, + -1, + 976175275, + 479428457, + 17229998, + 22587454, + -1, + 39627846, + 796254345, + 2098375, + 387691783, + 854438942, + 545933989, + 165642242, + -1, + -1, + 15868166, + 215035071, + -1, + 73822224, + -1, + 928192175, + 987642691, + 806489424, + -1, + 921502779, + 718044293, + 411129214, + -1, + 332427705, + -1, + -1, + 58627340, + -1, + 51831366, + -1, + 59299185, + -1, + -1, + 670747217, + -1, + 751127357, + -1, + 416673999, + 443873383, + 170302423, + 897651540, + -1, + 666999134, + 80683290, + -1, + 369953688, + 447376808, + 757776844, + 986529608, + 681118319, + 459009291, + 619214121, + 961443042, + 352348136, + -1, + 164991552, + 976615845, + 203357597, + 825945508, + 531057043, + 528630033, + 706266452, + -1, + 497215916, + 463217491, + 594661074, + -1, + 677333035, + 993796002, + 792859157, + 967201645, + 754981536, + 580920144, + 697813363, + -1, + 901598876, + 702059150, + 123428933, + 836897645, + -1, + -1, + 638225329, + -1, + 333087601, + 647138011, + 169111289, + 619389442, + 225508202, + 131115737, + 478914647, + -1, + -1, + 581096259, + 205445332, + 875474053, + 936300953, + 156949892, + -1, + 885028654, + 136275060, + -1, + 567327733, + 126647098, + 220314160, + -1, + -1, + 489531057, + 761881815, + 122465455, + -1, + 91454611, + 575287008, + 7605661, + 478631255, + 353843132, + 594490103, + 919684138, + 454809255, + 556539992, + 733437292, + 757660739, + 877735161, + 256169037, + 506427272, + 478329027, + 624150617, + 182537410, + 178214841, + -1, + -1, + 737618848, + 470223268, + 769796315, + -1, + -1, + 953363665, + 55337974, + -1, + -1, + -1, + 971708889, + 279174594, + 612693456, + 171809240, + 332547004, + -1, + 554633436, + -1, + 93571352, + -1, + -1, + 674993716, + -1, + -1, + -1, + 580911009, + 582913898, + 704713524, + -1, + 450132476, + 739576486, + -1, + 838067988, + 851810572, + -1, + 881166934, + 252943003, + 763794356, + 956206881, + 288335165, + 836441784, + 367170772, + 914457764, + 701950221, + -1, + -1, + 688446992, + -1, + -1, + -1, + 126913347, + 160920255, + 465993118, + -1, + -1, + 989378150, + 855360003, + 916745962, + 858172582, + -1, + 927220881, + -1, + 676539560, + 817070902, + -1, + -1, + 335776582, + 30810369, + 924281722, + 813510850, + 378079462, + -1, + 144865229, + -1, + -1, + -1, + 719279360, + 797746640, + -1, + 520148068, + 89492597, + -1, + -1, + 54711529, + 906443050, + -1, + -1, + -1, + 231797133, + 662762666, + 474691194, + 635059699, + -1, + 684708424, + -1, + -1, + -1, + 537492455, + 64626207, + 256406186, + 778052186, + 901622006, + 842162757, + 486836423, + -1, + 912604177, + 88010103, + 781504425, + 50714628, + 109699641, + 720788126, + 640736522, + 786003389, + 937746918, + 195531475, + 491269667, + -1, + 966988496, + 318141365, + -1, + 672331304, + -1, + -1, + -1, + 490021643, + 589481978, + -1, + -1, + 301530522, + 952453430, + 459552432, + -1, + -1, + 351441863, + 391922551, + 490889245, + 924136571, + 959894342, + -1, + -1, + 839942865, + -1, + 613699413, + -1, + 879696657, + -1, + 365782381, + -1, + 826485913, + 122185390, + 47021885, + 928616464, + 656058047, + 996766446, + 360071955, + -1, + 653966069, + 521684301, + -1, + 684944018, + 789450112, + -1, + -1, + 328187984, + 415290167, + 923148055, + 388281677, + 158574347, + 289387694, + 3575220, + 993336421, + 697755391, + 52141026, + 667577035, + 989340238, + 925879140, + 300112474, + 315551382, + -1, + 711418145, + 341971521, + 102382475, + -1, + -1, + -1, + 694551868, + -1, + 92832301, + -1, + 23269526, + 793274547, + 863050666, + -1, + -1, + 40815393, + -1, + -1, + -1, + 774885879, + 16296837, + 334164944, + -1, + -1, + -1, + 217598584, + 423046667, + 151522893, + 635963075, + 604714856, + -1, + 789190413, + 197228386, + 377234002, + -1, + -1, + -1, + 935420188, + -1, + 429411766, + 215971702, + -1, + -1, + 913635840, + 645836332, + -1, + 857011358, + 776238964, + 828261288, + 335038488, + 419728011, + -1, + 829300294, + 232500693, + 69044399, + 975625786, + 734169763, + 701691467, + -1, + -1, + 234128038, + 856748410, + 152823298, + 510457284, + 208867563, + 69165212, + -1, + 644230452, + 779104073, + -1, + 930840106, + -1, + 208571602, + 63820606, + -1, + 432025730, + 829715500, + -1, + 889675257, + -1, + 580030485, + -1, + 995882199, + -1, + 735640290, + 759477445, + 996522106, + 432242498, + 745024757, + 265813978, + 559355838, + -1, + -1, + 13278923, + 812043966, + 17634513, + 797588701, + 326138851, + -1, + 291830666, + 777787728, + -1, + 333581583, + 722691202, + 680575620, + -1, + -1, + 924067990, + 664174499, + -1, + 977225762, + 940177937, + 232179603, + 23427219, + 787083212, + 750818781, + 589770335, + 505505003, + 278055278, + 658311858, + 5131373, + 226663366, + 942158678, + 422352311, + 527013485, + -1, + 346263528, + 809181654, + 230722933, + -1, + 400376175, + -1, + -1, + 354054783, + 810211322, + 966061299, + 227131901, + 429873076, + 769539353, + 187115496, + 312456960, + -1, + 205648442, + 101632580, + 921296657, + -1, + 804677188, + 788158332, + -1, + 936670979, + 45769676, + 327210801, + 944246269, + 463129289, + -1, + 858901577, + 789106314, + 662841353, + 706278073, + -1, + 456618642, + 36460789, + 657736636, + -1, + -1, + 895744876, + 332148365, + 683905212, + 438898423, + 564595212, + -1, + 332451920, + 554671081, + 131116140, + 150645519, + 75858052, + 113628223, + 394607966, + 344261888, + 369672637, + 274610560, + 478772315, + -1, + 606733276, + 133842747, + 249346557, + -1, + -1, + 916830562, + 809257485, + -1, + -1, + 319504103, + 912205581, + 616541077, + 116850444, + 716000651, + 459376705, + 95830073, + -1, + -1, + 642627683, + -1, + 452845620, + 367416859, + 501365248, + 215929413, + 384382346, + 119767008, + 634776787, + 749174744, + -1, + 391545992, + -1, + -1, + -1, + 717891875, + -1, + -1, + -1, + 887553438, + 233073551, + 701010433, + -1, + 857513832, + 935124155, + 990985807, + -1, + 36660997, + -1, + -1, + 825795721, + 439995816, + 81784713, + 950635379, + 105459439, + 368705976, + 116476555, + 481152908, + 631970601, + 284901427, + 472033454, + 363785833, + 502685841, + -1, + 153852776, + -1, + -1, + 73976901, + 107641881, + 962468322, + 930718044, + -1, + 945581166, + 662650010, + -1, + 233040701, + 65543087, + 908540486, + 366622205, + 49227101, + 27251968, + 377298639, + -1, + 719854090, + 507632842, + -1, + 554412741, + -1, + 978662997, + 177224565, + 615966676, + -1, + -1, + 343891365, + 956086899, + 792082320, + 550346526, + 760439061, + 47746649, + 936178702, + -1, + 885417722, + 541003456, + -1, + -1, + 550895046, + -1, + -1, + -1, + -1, + 998420893, + 298871335, + -1, + -1, + -1, + 987770336, + 967806118, + 435615453, + 279881499, + -1, + 651482322, + 4026986, + 138350936, + 742066340, + 636141196, + 548518506, + 579149945, + 273112013, + -1, + 115524101, + 827932759, + 307363693, + 987323351, + 789241333, + -1, + -1, + 301641152, + -1, + -1, + -1, + -1, + 578210074, + -1, + 466429756, + 368895193, + 525193831, + 203217666, + 358245132, + 289005280, + -1, + -1, + 784537156, + 962506666, + -1, + 353885990, + 282555416, + 204024156, + 992720556, + 611796786, + -1, + -1, + 336799502, + -1, + 733212318, + 115949264, + -1, + -1, + 757704117, + 967090039, + 950867654, + 994590076, + 6324317, + 1276771, + 585491714, + -1, + -1, + -1, + -1, + -1, + 86118465, + 54477441, + 493208401, + 789754801, + 761239935, + -1, + -1, + -1, + 30158308, + 191977271, + -1, + -1, + 859811394, + 74725925, + -1, + 914146770, + 213807085, + 306875471, + -1, + 346604911, + 355977693, + 882433090, + 852951804, + 52808215, + 143424824, + -1, + -1, + -1, + -1, + 858943181, + 139315366, + -1, + -1, + -1, + -1, + 199734752, + -1, + 250123661, + 64083700, + 695960517, + -1, + 195324516, + 6175923, + 989218074, + -1, + 599259344, + 77406122, + 811683471, + -1, + 348780725, + 449948231, + -1, + 722778673, + 75850843, + 353060010, + 551529045, + 201102151, + 647050707, + -1, + 941036451, + 691278528, + -1, + 711589335, + 125967446, + 634855315, + -1, + 47933983, + 382335955, + 139035331, + -1, + -1, + -1, + 563859189, + -1, + 952167390, + 33889464, + 621469800, + 342748969, + 788494737, + 758015137, + 221341493, + 470594333, + -1, + 574301816, + 442840782, + -1, + 120142373, + 567912808, + 276364415, + 925792927, + 386956688, + 959762764, + 70578067, + 913363138, + -1, + -1, + 502342643, + 19971534, + 683534945, + 781806351, + 949155528, + 692771795, + 682239827, + -1, + 534742980, + 213985365, + -1, + 636490784, + 841795213, + 30852164, + 402174037, + 99767041, + 32625843, + 36768287, + -1, + 550107901, + -1, + -1, + 637734016, + -1, + -1, + 455931066, + -1, + 223018016, + 597910650, + -1, + -1, + -1, + 131352197, + 600381681, + 987962603, + 180429121, + 242534391, + 916650454, + -1, + 368245653, + 251698561, + -1, + 802899485, + 27655219, + -1, + -1, + 546573712, + 25563019, + 171717088, + 257358783, + 614845399, + 321666419, + 896053128, + 182554705, + 301558419, + -1, + 327863305, + 702315301, + 419219433, + 290871232, + 456918762, + 148926257, + 666515255, + -1, + -1, + -1, + -1, + 690647817, + -1, + 83938838, + 430608295, + -1, + 473117892, + 980638959, + 589898508, + 839917990, + 663002235, + 9714377, + 251831869, + 661964172, + -1, + 732479549, + 273958611, + 983342147, + 280405183, + 113906740, + -1, + 673464443, + 584434253, + 120288092, + -1, + 255950021, + 933432691, + -1, + -1, + 918977506, + 394783284, + 909312425, + 391983900, + 753014004, + -1, + -1, + -1, + -1, + 247776958, + -1, + -1, + 710460580, + 549733638, + -1, + 516013236, + 414590022, + 184110744, + 567777936, + 999428938, + -1, + 317213621, + -1, + 274272275, + 796226800, + 855354194, + 275139452, + 813353900, + 398933345, + 632679732, + -1, + 174537433, + -1, + -1, + 712771120, + 341317872, + -1, + 989350789, + 372662939, + 650921733, + -1, + 744106812, + 959002983, + 372205140, + 241510534, + 558791026, + -1, + -1, + 478333838, + 430766218, + -1, + 154492142, + -1, + -1, + 683085518, + -1, + -1, + 312384287, + 971065666, + 645647470, + -1, + -1, + 628630716, + -1, + -1, + 808386380, + -1, + -1, + -1, + 891731311, + 684036544, + 997214816, + -1, + -1, + 734276415, + 127500407, + 186124397, + 1389141, + -1, + 13581025, + -1, + 801123653, + 724986021, + 227881645, + -1, + 317012940, + 144953642, + 841149609, + -1, + -1, + -1, + 194316533, + 52673361, + 434782038, + 747258743, + 619075167, + 751447396, + 309353383, + 446179177, + 940829860, + -1, + 410797466, + -1, + 36231535, + 21257888, + 365593122, + 407830956, + 985393713, + 739315345, + 775464045, + 244765445, + 945194042, + 482408226, + 356918549, + 851263062, + 614924227, + 816967271, + 597104923, + -1, + 797321078, + 128201916, + 798985487, + 113194897, + -1, + -1, + 298836148, + -1, + -1, + 14206378, + 733900013, + -1, + -1, + -1, + 666328362, + 315051342, + 665116377, + 821102739, + 864475487, + 846070637, + 33502488, + 496303265, + 464751142, + 508609766, + -1, + 589944438, + -1, + 368384471, + 992860473, + 147622767, + 767532032, + 312099447, + 794536871, + 997686827, + 998033888, + 431448053, + 441178304, + 185526340, + 301438581, + 511377169, + 67172450, + 543886752, + 929770925, + 36177871, + 996425775, + 151059460, + 702069354, + 211806718, + -1, + 456738373, + -1, + -1, + -1, + -1, + 139658793, + 157181711, + 952270386, + 233902172, + 116332978, + 526486198, + -1, + 272831619, + 57184667, + 331776973, + 472549469, + 961929369, + 672960729, + 274067193, + -1, + 7332089, + 667226390, + 760755774, + 524959212, + 936071892, + 393239721, + 720353998, + 173299575, + -1, + -1, + 750467413, + -1, + 447687404, + 121391943, + -1, + 411252550, + -1, + -1, + -1, + 382808926, + 141066828, + -1, + 563516580, + 687852458, + 718759017, + 701370233, + 853804353, + -1, + 172576995, + -1, + -1, + 992265777, + 996528937, + 742970801, + -1, + 250831882, + -1, + -1, + 814810095, + -1, + 427805758, + 895381775, + -1, + 948559689, + 992105914, + 211911679, + -1, + 22837584, + -1, + -1, + 509988500, + 388214879, + 467647596, + 849577431, + 270575543, + 180893560, + 65191538, + 872457578, + 623335777, + -1, + -1, + 252239903, + -1, + -1, + 62325429, + 924080005, + 666035674, + 984976777, + 182355188, + 162621233, + 229071311, + 604450370, + 911329477, + -1, + 535616998, + 821663734, + 933922442, + 880226647, + 981523105, + 719522210, + 404206343, + 930807182, + 304730304, + 190826436, + 418942263, + -1, + 647965102, + -1, + -1, + -1, + 707216829, + -1, + -1, + -1, + 917380939, + 129949712, + 221654499, + -1, + -1, + -1, + 692281079, + 810415674, + -1, + 31518756, + 25859285, + -1, + 80837076, + 201229759, + -1, + -1, + 583707720, + 169441100, + 859475513, + 104486823, + 49283906, + 321635870, + 632937165, + 52966208, + -1, + 329117408, + 471518515, + 168257362, + 770215630, + -1, + 488115434, + 451411524, + 745453452, + 899970592, + -1, + 408131799, + 771098833, + 386987594, + 596818203, + 826840905, + 248661922, + -1, + -1, + -1, + -1, + 493839376, + -1, + 992023255, + 457520196, + 506741543, + 368510495, + -1, + 966301111, + -1, + 108618771, + 591338837, + -1, + -1, + -1, + 721814263, + 645522276, + 33731777, + 79175287, + -1, + 953615029, + 704518308, + 287023986, + 410349355, + 661774883, + 859607836, + 408458078, + 678380012, + 164012383, + 380522827, + 173308719, + 170222620, + -1, + -1, + 240644392, + -1, + -1, + 338956783, + 63967485, + -1, + 178055346, + 509417625, + 541321311, + 1057376, + 996833222, + 778344610, + 470260629, + 602970042, + -1, + -1, + 962912704, + 661155863, + 794475618, + -1, + -1, + 674619556, + 865001006, + -1, + 77051004, + -1, + -1, + 871508747, + 26566461, + -1, + 672210642, + 333970167, + -1, + -1, + -1, + 900017388, + 552640358, + 204575429, + -1, + 412737104, + -1, + 930855857, + 416066222, + 547499531, + 50440436, + 845152454, + 770018285, + 721315872, + 201569380, + 773370572, + 394379027, + -1, + -1, + -1, + 713806843, + 190543423, + 262221715, + 828929737, + -1, + 924965158, + 818679313, + -1, + 57107176, + 382087312, + -1, + -1, + 836685972, + 979347943, + 579703151, + 730662713, + 108179694, + 771251776, + 243759348, + -1, + 914712777, + -1, + 597839576, + 566123623, + 198356441, + 728557650, + 161414517, + -1, + 209522896, + 509291458, + -1, + 225359410, + 659390017, + 115926214, + 932205819, + 702239082, + 891364171, + -1, + 162952801, + -1, + 576224635, + 382697005, + 312964363, + 865754748, + 913540364, + 292314857, + 919070394, + 513108483, + 922228095, + 162164754, + 161571965, + 745630596, + 279548228, + 794125098, + 472705553, + 779668001, + 719575478, + 807000487, + 118233504, + 618265439, + 219668765, + 580122070, + 669806618, + 652526400, + 964647418, + 9952489, + 945630772, + 249508667, + 107595607, + 90585991, + 152789485, + 667027323, + -1, + 300932198, + 927323309, + 255176387, + -1, + 608545005, + 148160137, + 774299297, + 150074531, + 401935908, + 536436337, + 172289171, + 368887325, + 234199260, + 141806121, + 558911858, + 388240858, + 925430199, + -1, + 369484341, + 264640890, + 947102509, + 87241267, + -1, + -1, + 488125455, + -1, + 941930986, + 3991186, + 647477027, + 888240933, + 160600042, + -1, + 546403509, + 507433393, + -1, + -1, + 899707113, + 760614710, + 1226454, + -1, + 522569328, + 80264451, + 65285359, + 289342411, + -1, + 458787641, + 825771659, + 90255228, + -1, + 973434007, + 28884597, + -1, + -1, + -1, + 594441396, + -1, + -1, + 372850327, + 183898844, + 497355494, + -1, + -1, + 852493423, + 957239921, + 552334861, + 354449907, + -1, + -1, + 418861348, + 219590297, + -1, + -1, + 328448449, + -1, + 627627805, + 865825917, + 850148269, + 770597832, + -1, + -1, + -1, + 73083393, + -1, + 703626222, + 595849804, + -1, + 390563998, + 267759286, + 101605948, + 667659631, + 302449978, + 323705281, + 228539328, + 69832568, + 805565988, + 342640276, + 997159370, + 372876544, + 269393572, + 983433146, + -1, + -1, + 55302188, + 28379238, + -1, + -1, + 889384238, + 688412358, + 266090870, + -1, + 563144218, + 181783052, + 760864918, + -1, + 142934601, + 55917504, + 335704396, + 430041002, + 107886508, + -1, + 270638017, + 747549786, + -1, + 388035034, + 333444206, + 141734440, + 340675250, + 335041619, + 28493098, + 42735268, + -1, + 442564174, + -1, + -1, + -1, + -1, + 458014152, + 452474187, + 292014868, + -1, + -1, + 559530246, + 710842392, + 474234259, + 136638276, + 783095426, + 358488303, + 79643212, + 761411853, + 639141254, + 740412846, + 948050217, + 841863265, + 228209614, + 146560740, + -1, + -1, + 187329557, + -1, + 957835343, + -1, + -1, + 751334302, + 102391567, + 479605051, + 823195551, + 528545102, + 217322861, + 778139934, + 462710531, + 498867800, + -1, + 581260361, + -1, + 762162909, + 994810023, + -1, + -1, + 541170522, + -1, + -1, + 583092793, + -1, + 999617057, + 564101825, + 369198639, + 424456178, + 350682968, + 962607530, + 44728865, + -1, + 7367948, + -1, + -1, + -1, + 474901571, + 165236173, + -1, + -1, + -1, + 563105067, + 804591058, + 546723666, + 319879199, + -1, + 130002712, + 239842531, + 409336266, + 42337788, + 575288849, + -1, + 560728615, + -1, + 405831984, + 269004851, + 875677286, + -1, + -1, + -1, + 144992771, + 152868415, + -1, + 768952005, + 622540156, + -1, + 480606214, + -1, + -1, + 583879791, + 687787766, + 213590085, + 187664799, + -1, + -1, + 536285693, + 675874134, + 958465332, + 359008324, + -1, + 993042376, + -1, + -1, + 526901196, + 468251299, + 837291292, + 80296911, + 562536253, + 161004526, + 251940336, + 261175059, + 332216703, + 613126132, + 263095958, + 538270478, + -1, + 852261821, + 293629611, + 788204588, + 303606872, + 290446734, + -1, + -1, + -1, + 898449986, + 176002039, + -1, + 825072566, + 715416014, + 97638643, + 911608383, + 910903325, + 839782348, + 320018251, + -1, + 463981038, + 273739798, + 709072523, + 125664672, + -1, + 918860315, + -1, + 731956681, + 588425130, + 867594909, + -1, + 559930950, + 360179388, + -1, + 375193631, + 421229842, + -1, + 423639912, + 284356302, + 895396508, + 657721837, + -1, + 589203175, + -1, + 854782931, + -1, + 839403817, + 551185151, + 47520199, + -1, + 707718367, + 393895530, + 326969450, + 641588914, + 678440797, + 184158345, + 199662838, + 96951085, + -1, + 504693139, + -1, + 861952867, + 74410154, + 873522400, + 756428947, + -1, + 570145919, + 479783002, + 969540370, + -1, + 463903541, + 656829615, + -1, + 612736218, + 841605456, + 779257485, + 210093852, + 811333262, + -1, + -1, + 356220865, + 337260769, + 988996845, + 615098055, + 648053685, + 977733194, + 267314182, + 647149632, + 277376246, + 870144085, + -1, + 883226963, + 676672374, + 853594289, + 821491964, + 899864753, + 475914751, + 570033608, + 397557510, + -1, + 629354617, + 309050719, + 148698452, + 1644534, + -1, + 836215776, + -1, + 676537678, + 971488461, + -1, + 582826122, + 812673621, + 754325376, + 602351951, + 447759047, + -1, + 388773409, + 22441698, + 561137171, + 728689547, + -1, + -1, + 787314580, + -1, + 773750432, + 350007132, + 720689115, + -1, + 416805704, + -1, + 691226983, + 58670338, + -1, + 640156732, + -1, + 664437784, + 240790605, + 411073968, + -1, + 575696904, + 731932006, + -1, + 188408346, + 144994098, + 627868710, + -1, + 982831285, + 379655861, + 987244500, + 929213439, + 167383479, + -1, + 206559342, + 549563021, + 751097803, + -1, + 982001304, + -1, + -1, + 6461040, + 443783145, + 437603309, + 286017704, + -1, + -1, + 811474962, + 12863226, + 873775460, + 849651752, + 312780745, + 937668825, + 875494690, + -1, + 403979107, + 181450763, + 860342424, + -1, + 811554548, + 4015432, + 496748772, + 509631247, + 518985528, + 901773373, + -1, + 921125307, + -1, + 881207339, + 829709679, + 127551183, + -1, + -1, + 971826703, + 71595928, + 82327426, + -1, + 626043078, + 780928572, + 859322218, + 929883737, + 779044465, + 679284471, + -1, + 658535975, + -1, + 300324301, + 307270557, + 497104887, + -1, + -1, + 685001673, + 568617712, + -1, + 300889350, + -1, + 53957160, + 588313352, + 336569156, + 22602163, + 736785814, + 63021008, + 721941873, + 7839285, + 725925639, + 255032345, + -1, + -1, + 902523052, + 310452101, + 275327987, + -1, + 249304169, + 988367304, + 924121661, + 796741478, + -1, + -1, + -1, + 22422082, + 844210313, + -1, + -1, + 315307693, + -1, + 238890813, + 676109805, + 158642351, + -1, + -1, + 196245859, + 314396904, + -1, + -1, + 686202947, + -1, + 845170680, + -1, + -1, + 201252925, + 709348252, + 645248826, + -1, + 786260668, + 273155279, + 422172193, + -1, + 347720060, + 446902442, + 765320274, + -1, + 810738523, + 172807713, + -1, + -1, + 920274636, + 146127201, + 182754453, + -1, + -1, + 250262702, + 521413156, + 502740886, + 559660330, + 626795049, + -1, + 494035975, + 917231949, + 379945481, + -1, + 662058615, + -1, + 591074515, + -1, + 282627983, + -1, + 874643297, + 209410946, + -1, + 564322876, + 722175205, + 508378608, + 979685735, + -1, + 303355218, + 570435160, + 555540013, + 111161299, + 393672336, + 802300380, + 910886727, + 564854752, + 994179372, + 541329042, + 70410756, + -1, + 177884424, + 738804231, + 394296994, + 37730914, + -1, + 160509582, + 698264744, + 939690045, + 448893808, + -1, + 807009710, + -1, + -1, + -1, + 416776844, + -1, + 484542073, + 161958059, + 674141103, + 245886403, + 370445734, + 940656931, + 397883769, + 420181158, + 83869292, + -1, + 985471357, + 221635146, + 370859083, + 608583714, + 367697635, + 266613368, + -1, + 280148461, + 13107872, + 762031083, + 294333169, + 312755898, + -1, + 302607483, + -1, + 230548676, + -1, + -1, + 676121902, + -1, + 271977859, + -1, + -1, + 324128198, + -1, + 640097001, + -1, + -1, + 525445932, + 821813983, + 958775839, + -1, + 796529021, + -1, + 747527329, + 605642060, + 957857179, + 669155396, + -1, + 654476892, + 150148457, + 916075652, + -1, + 653146660, + 544252886, + 860541959, + 744837897, + -1, + 991059353, + -1, + 636630203, + 267031953, + -1, + 784941974, + 81997268, + 679906164, + -1, + 271936206, + 388200878, + -1, + -1, + 335888126, + 530650948, + 996535792, + 533551632, + 10796702, + 870622607, + 638598595, + 841344293, + -1, + 884867388, + -1, + 27239916, + 106377104, + -1, + 335575601, + 370746877, + 220030402, + 227931814, + 597213150, + -1, + 426572399, + 649837385, + 520649695, + -1, + 280863547, + 6844007, + -1, + 199650511, + 949252436, + -1, + -1, + 463531421, + 586465782, + 219457535, + 460096201, + 205503725, + -1, + -1, + 507294833, + -1, + 281972666, + 745791639, + 904723701, + -1, + 783189668, + 212168543, + 250755124, + 352642037, + 966726035, + -1, + -1, + 94439149, + 408364276, + 726717881, + -1, + 679119153, + 675232855, + 342857992, + 529212761, + 670862478, + 831114419, + 139899009, + 441939681, + 114080401, + -1, + -1, + 972157110, + 211723413, + -1, + 586720313, + 91959046, + 13115623, + 556537516, + 454436849, + 573835772, + -1, + 449266226, + -1, + 689508024, + 443830604, + 238298414, + -1, + 381054749, + 828314464, + 310619515, + -1, + 14730047, + 773725699, + -1, + 476027534, + 591023583, + 942584387, + -1, + 684321737, + -1, + 529510366, + -1, + 856666025, + -1, + 695658479, + 243025643, + 433740096, + 268097853, + 424681735, + 928971601, + 891077667, + 404987886, + 535612427, + 791474006, + 18451150, + 943635355, + 429550563, + -1, + -1, + 235648248, + 561996585, + -1, + 471009231, + 544790407, + -1, + 423784375, + 693585197, + 436456602, + 963703882, + 128668618, + 510641923, + 705789108, + 609215157, + -1, + 481461526, + 377689815, + -1, + 653968204, + 324303808, + 30385639, + -1, + 937135172, + -1, + 17255819, + 662563628, + -1, + 395238223, + 734952012, + 675312418, + 943973280, + 245555374, + -1, + 708196970, + 193165598, + 250069365, + -1, + 353714265, + 722045006, + 638740747, + 275201780, + 755190556, + 984589424, + -1, + 997459316, + 769375152, + -1, + 715162816, + 872879622, + 695191064, + 731660995, + 580464712, + 24713011, + -1, + 446908465, + 795497149, + 465954021, + 904923376, + -1, + -1, + -1, + 472882409, + 341890710, + 768953907, + -1, + 425408337, + 699108185, + -1, + 582888952, + -1, + 438490798, + 874484209, + 367346446, + 899301369, + 798478801, + 998893829, + -1, + -1, + 649750995, + 4480527, + 440250368, + 662117995, + -1, + -1, + 66123232, + 190449923, + 503441278, + 667798172, + 192909669, + 642505572, + 186204228, + 399167765, + 157349232, + 533377832, + 216629010, + 436749794, + -1, + 81746059, + 106823789, + -1, + 158176355, + 296013876, + 421719225, + 603964434, + 8014869, + 492281574, + -1, + 988398283, + 257612359, + 412286243, + -1, + -1, + 689263829, + 861561165, + -1, + 37501355, + -1, + 690333743, + 881609200, + 706604710, + 915993778, + 968008663, + 187502765, + 655888004, + -1, + 99311485, + 633064699, + -1, + 838772309, + 450339492, + 315661496, + 56016933, + 582732674, + -1, + 54784136, + 323723683, + -1, + -1, + 497130051, + 26811001, + -1, + 494865669, + 191286306, + 518235303, + -1, + 22535342, + 770135542, + -1, + 116574687, + -1, + 851060533, + 534142717, + 328163256, + -1, + 963322643, + -1, + 544634305, + 964099022, + 502940550, + -1, + -1, + 883970808, + 402265272, + 151153449, + 965440906, + 56241956, + -1, + 58818606, + 113916211, + 538266972, + 137863022, + 918116299, + -1, + 126589832, + 743792865, + -1, + 70130707, + 526436495, + 48273085, + -1, + 20678324, + -1, + 460067110, + 156549895, + -1, + 157085149, + 213717498, + 106952960, + 647597077, + 645247054, + -1, + 477105354, + 986082180, + -1, + 437946597, + 617883454, + 173022236, + 703139174, + 310370433, + -1, + 323811170, + 437559261, + -1, + 982113107, + 682537131, + 876475128, + 99061824, + 115024823, + 792915571, + 139781583, + 825860738, + 606942078, + -1, + 356884657, + -1, + 116210306, + 552773138, + -1, + -1, + 651531169, + 452370405, + -1, + 607410214, + 518390070, + 290138463, + -1, + 879077108, + -1, + 764800359, + -1, + 473947180, + 269615630, + -1, + -1, + 213107931, + -1, + -1, + 999169040, + 870401356, + 835592866, + -1, + 181170261, + 184973332, + -1, + -1, + 888949281, + 237427202, + -1, + 320223703, + -1, + 254473838, + 974039466, + -1, + 15991674, + -1, + 236738721, + 642210137, + -1, + 875177248, + 902642918, + 343916761, + -1, + 327636402, + 146957383, + 432317847, + 468237697, + 926706456, + 2926632, + -1, + 610943100, + 768614817, + 113691076, + 939278156, + 397092567, + 428194505, + -1, + -1, + -1, + 408356295, + 890074574, + 523499826, + 516368984, + 362582514, + 952410799, + -1, + -1, + 387619296, + -1, + 722565376, + 61710303, + 397299334, + -1, + -1, + 197825647, + -1, + 472897492, + 866983908, + 894994121, + -1, + 668555082, + -1, + -1, + 888587371, + -1, + -1, + 919320044, + 12724597, + 628838280, + 743781231, + 341628615, + -1, + 819257985, + 653491958, + -1, + 830160087, + 305541101, + 630832011, + 527947378, + 328877441, + 762848120, + 198450964, + 404770461, + 834984787, + 220231117, + -1, + 41362643, + -1, + 343776254, + 910379119, + 346030114, + -1, + 825420923, + 211893077, + -1, + 862155006, + 74276453, + 642129128, + 737700143, + 834903056, + -1, + 466970380, + 666480442, + 752185362, + 199252988, + 721771986, + -1, + 519218299, + -1, + 754926131, + -1, + 520053999, + 444877887, + 728766081, + 798393963, + 455088463, + 375790536, + -1, + -1, + -1, + -1, + -1, + 172344132, + -1, + 194934827, + 315345122, + -1, + -1, + 903970454, + 473819992, + 746218107, + 443236066, + 92680272, + 736721484, + 575150854, + 561708343, + -1, + -1, + -1, + 473731323, + 216056688, + 71260445, + 40727203, + 785927285, + 463137006, + 830976969, + 930573189, + 403148819, + -1, + 329371565, + 805528196, + 98341358, + -1, + 588518474, + 508748796, + 482006536, + -1, + 296018066, + 610162036, + -1, + 523173155, + -1, + 876608778, + 24395351, + -1, + 637148299, + -1, + 210845376, + 545309615, + -1, + -1, + 540061277, + 112815189, + 514237369, + 445854670, + 427779668, + 740717543, + -1, + -1, + 175207211, + 822745960, + 523226363, + 380354221, + 332889631, + 281722672, + 649588025, + 666523817, + 804860662, + 120378978, + -1, + 451118893, + 191503492, + -1, + 415566989, + 626039401, + 473989585, + -1, + -1, + 779920078, + 994894112, + -1, + -1, + 862655536, + 124810629, + -1, + -1, + -1, + 898379732, + -1, + 480940514, + 775148496, + -1, + 567766445, + -1, + -1, + -1, + -1, + -1, + 834356105, + 339386872, + -1, + 566126909, + 430140838, + 215364642, + 519181210, + -1, + -1, + -1, + 187240736, + 791469406, + 705405733, + 385435217, + -1, + 170498270, + -1, + -1, + 909366901, + 455823950, + -1, + 199433167, + 132285956, + 456569587, + 599556600, + 389654760, + 903808974, + 631846897, + 421790325, + 487413176, + 300387282, + 513508510, + -1, + -1, + 935827792, + 61459022, + 651843992, + 748490061, + 840677090, + -1, + 81683634, + 772471799, + 249841461, + 851475395, + 904170075, + 741819130, + -1, + 367058012, + -1, + 690608179, + 296305939, + 947440796, + 642150107, + 841694231, + 241569181, + 515269148, + 771031729, + 370544824, + -1, + 572891116, + 26171565, + 566451114, + 428363625, + 925899443, + -1, + -1, + 287377515, + 128400642, + -1, + -1, + -1, + 963627405, + 225111687, + -1, + 682408221, + -1, + 280420629, + 793101881, + 570046190, + 542797840, + -1, + 317853129, + 13686691, + -1, + 309267477, + -1, + -1, + -1, + 708621402, + -1, + -1, + -1, + -1, + 72135383, + 369143627, + 75554376, + 37374467, + 969127072, + -1, + -1, + 910246438, + 381204798, + -1, + -1, + -1, + 549121612, + -1, + 512705059, + 832319110, + 683201468, + 690406587, + -1, + 82055786, + 103109205, + -1, + -1, + -1, + -1, + -1, + 589451632, + 850250733, + 719777321, + -1, + 579083359, + -1, + 913430419, + 428444124, + 649276613, + -1, + 184971281, + -1, + 608480097, + 209101391, + 526424294, + 263814990, + 847163231, + 538460406, + 903101036, + -1, + -1, + 729131452, + 234226975, + 916157936, + -1, + -1, + 536262299, + 751836452, + -1, + -1, + 270472206, + 708238962, + 500269214, + 888703385, + 883334303, + -1, + 23626193, + 223959790, + 117100337, + 987309832, + 427648566, + -1, + 135392622, + -1, + 243866013, + 526567428, + 678988096, + 463184743, + 552563750, + 964369572, + 478511221, + -1, + -1, + -1, + -1, + 183274445, + 682365805, + 518285070, + 497860350, + 35586030, + -1, + -1, + 660409603, + 640839994, + 400579650, + 921228387, + 149943524, + 790274885, + 611915274, + 97146833, + 250915455, + 430825191, + -1, + 61785422, + 320457323, + 212672114, + 337027835, + 41943739, + -1, + -1, + -1, + -1, + -1, + -1, + 883602745, + 450673920, + 415317666, + 183748416, + 934805504, + 829894714, + 115297455, + -1, + 241698212, + -1, + -1, + 497857711, + 873653330, + -1, + 238546934, + -1, + 858362636, + 428933251, + 852227740, + 856164142, + 699120920, + 978066637, + 47035968, + -1, + 137437388, + -1, + 916349917, + 536704843, + 511127375, + 974224008, + 687381280, + 547832971, + 292559455, + 739178631, + 125978215, + 258488538, + 6459121, + 476151741, + 876811853, + 898968970, + 311662372, + 919332811, + -1, + 187919050, + 101303464, + -1, + 210624270, + 408711632, + -1, + 987648941, + -1, + 256346709, + 538862992, + -1, + -1, + 414288865, + 49434465, + 599640061, + 977147488, + -1, + -1, + -1, + 156967786, + -1, + 936251557, + 589367447, + 981215085, + -1, + 597934670, + 669202360, + -1, + 513766521, + -1, + 174622694, + 86061300, + -1, + 290530440, + 319951107, + 342355200, + 361427586, + -1, + 162377996, + 659124754, + 475632185, + 314961359, + -1, + 880524029, + 193663327, + 384613190, + -1, + 237523840, + -1, + 668641831, + -1, + -1, + 740490676, + 9862836, + 395370054, + -1, + -1, + 214401096, + -1, + -1, + 700079483, + 871768205, + 675821988, + 872995738, + -1, + -1, + -1, + 285071454, + 247703487, + -1, + 989037817, + -1, + 797502956, + 952897493, + 244586021, + 605459050, + 261918323, + 152907042, + -1, + 488937401, + 610431300, + 902260729, + 641627222, + -1, + 647713377, + 268823959, + 503510234, + 41269064, + -1, + 229735657, + -1, + 143065091, + 445273708, + -1, + 987155472, + 976462028, + 196770054, + -1, + 195823666, + 925759051, + 514728019, + 43038704, + 759251425, + -1, + 110213627, + 836844183, + -1, + -1, + -1, + 482625904, + 102484332, + 164659172, + -1, + 646462385, + 358090069, + 970040716, + 612804691, + 726689580, + 201487978, + 843487038, + -1, + 567629661, + 244692597, + -1, + 760183569, + -1, + 447981915, + 32750207, + 325528074, + -1, + 953342303, + -1, + 641693582, + 987602024, + -1, + -1, + 915742854, + 573114750, + 54594186, + -1, + 828656837, + 97869849, + 468077258, + -1, + 368651025, + 526224860, + -1, + 871815765, + 750773969, + 778831152, + 513897703, + 774059848, + 315445291, + -1, + 867580028, + -1, + 479073531, + 732188809, + -1, + 173675957, + 89744221, + 81353226, + -1, + 560160619, + -1, + -1, + -1, + -1, + -1, + 187413109, + 584731751, + 545791114, + 425727518, + -1, + -1, + -1, + -1, + 357265856, + 625554152, + 729422011, + -1, + -1, + -1, + 771638963, + 511685323, + -1, + 376538433, + 42187901, + -1, + -1, + -1, + 692092015, + 954135730, + 840375151, + 683368583, + 905684764, + 785602113, + 247758080, + 483638677, + 279618489, + 976488507, + 641927417, + 454653431, + 234586762, + -1, + -1, + 282068767, + -1, + 140597593, + 657031859, + 439259040, + 541384719, + 304897989, + 699270942, + -1, + -1, + -1, + 328340906, + 321228123, + 829949144, + -1, + -1, + 333673490, + 862187622, + 726573203, + 863950877, + -1, + 946456925, + 126606415, + 52265943, + 475828474, + 829287411, + -1, + -1, + 355867549, + 684840119, + -1, + 891130789, + -1, + 952451656, + 697408337, + 354316275, + 448803309, + 707412834, + 293924203, + -1, + -1, + 557597764, + 366639332, + -1, + -1, + -1, + 838131030, + -1, + -1, + 906044564, + 763139060, + 504537796, + -1, + 676004594, + -1, + 825293745, + -1, + 42447949, + 979374482, + 95127205, + 34829658, + 418245367, + 519080520, + -1, + 650559867, + 715730746, + 421899612, + -1, + 733808150, + -1, + 992278849, + 287963157, + 195881353, + 471165394, + 839640029, + -1, + 239286829, + 258246327, + 374155978, + 304704597, + -1, + 769090504, + 943966673, + 983886309, + 78950545, + -1, + 756170990, + 897114160, + -1, + -1, + 371274710, + 797955897, + 258271251, + -1, + 458860042, + 560741895, + 193131184, + -1, + 312850261, + -1, + -1, + 907307799, + 233556726, + 95310195, + 436530415, + 582497487, + 26327302, + 945908558, + 127560276, + 324904312, + 732805394, + -1, + 635347551, + 412363887, + 787292442, + -1, + 302677033, + 659141221, + -1, + -1, + 58074978, + -1, + -1, + -1, + 114228929, + 266930203, + -1, + 67196944, + 267807470, + 75744605, + 547039722, + 468705302, + 410523872, + -1, + 390955155, + -1, + -1, + 249534439, + -1, + 449011365, + -1, + 865551296, + 726369867, + 253367822, + -1, + 737830084, + 827862951, + 195883671, + 278055415, + 961619136, + 18418358, + 432308273, + -1, + 586496934, + 731568043, + 569688139, + -1, + 140038075, + 335965503, + -1, + 623631237, + -1, + -1, + 627315360, + 129986130, + 41639847, + -1, + 856400984, + 190088144, + 368310941, + 629818255, + 407623994, + 983295759, + 959636211, + 835060794, + -1, + -1, + 929134462, + 544285495, + 919099468, + 442282553, + 933529481, + -1, + 52328166, + 453181978, + -1, + 980262260, + 32455833, + 408061052, + 189845129, + 666514576, + -1, + -1, + 844961201, + -1, + 843072614, + 374641779, + 795853770, + 399748341, + 685177349, + -1, + -1, + -1, + -1, + 563018781, + -1, + 847457422, + 64471644, + 742829720, + -1, + 500380181, + 713461881, + 359751458, + 673223227, + 870661762, + 242645390, + 960626279, + 403027723, + -1, + -1, + 443639234, + 47262617, + -1, + 290882808, + -1, + 749175100, + 320150800, + 821998492, + -1, + 97831050, + 382143820, + -1, + 745410230, + 644015168, + 341938463, + -1, + 664330889, + -1, + 136706218, + 896929277, + 192689947, + -1, + -1, + 270628169, + 631840958, + 725625437, + 577619230, + 343458069, + 321485930, + 716064437, + 420951350, + -1, + 213542799, + 933989200, + -1, + 498727362, + 757514719, + 72402728, + -1, + 839714299, + 889368320, + 204533692, + 580631792, + 208158327, + 356740115, + -1, + 21583912, + 36045182, + 507158574, + -1, + 584985395, + -1, + 748742305, + -1, + 598874583, + 465119563, + 788906155, + -1, + 182063269, + -1, + 804596700, + 599145769, + -1, + 475911090, + -1, + 226252211, + -1, + 907327995, + 974550518, + -1, + -1, + 704380952, + 767873269, + -1, + 544296986, + -1, + 367509992, + 470041671, + 805461956, + -1, + 158194672, + 546572329, + -1, + 910963767, + -1, + 221529973, + 526127107, + 312986612, + -1, + -1, + -1, + 779646523, + 488459200, + 81246474, + 845505089, + 247255264, + 242294046, + 816310428, + -1, + 220545245, + 448020603, + 342412283, + 813290332, + 764299872, + 741714134, + 224843863, + -1, + 743487172, + 812492007, + -1, + -1, + 339150512, + 646859607, + 835327067, + 705367217, + -1, + 909914518, + -1, + -1, + -1, + 502990031, + 471988254, + 512270212, + 433006756, + 779100387, + 332547734, + 171444723, + 753271859, + 754419459, + 388557268, + -1, + 279199837, + -1, + 233023807, + 116855287, + -1, + -1, + 530737545, + 720513654, + 211776650, + 501014689, + -1, + 707317861, + -1, + 13108521, + 200550698, + 914015959, + 308899231, + -1, + 652272808, + -1, + 812978243, + 584094206, + 861652210, + 452812157, + 186577873, + -1, + -1, + 483475881, + 137293367, + 529686018, + 948625256, + 504828778, + 428731571, + 289251164, + -1, + 138511999, + 416658993, + 756216366, + 749237390, + -1, + 178999368, + 639734040, + -1, + -1, + 423582053, + 305454144, + 283603658, + 283776130, + 171841150, + -1, + 710026649, + -1, + 806608673, + -1, + 72223015, + 314284895, + -1, + 763686818, + -1, + 760488417, + 846379698, + -1, + 519908147, + 112636938, + 645174762, + 695711710, + 509506838, + -1, + -1, + -1, + 307077604, + 39264944, + -1, + 993982765, + 932081553, + 481450973, + -1, + 607555171, + 687199548, + -1, + 64276435, + -1, + 964850149, + 202959372, + 833680724, + -1, + 45420058, + -1, + -1, + 191069232, + 820992852, + 647314081, + -1, + 830490212, + -1, + 644450349, + 166687640, + 504366310, + -1, + -1, + 160635534, + 356278327, + 607584830, + 634594822, + 125976972, + -1, + -1, + 530341035, + -1, + 497203013, + 490780463, + 112740186, + 704288322, + -1, + -1, + 683301664, + 351261362, + 595353260, + 54394194, + -1, + 968782688, + 751572007, + 649357304, + -1, + 478086576, + -1, + 490358568, + 105935965, + 312916577, + -1, + 749639808, + 185446252, + -1, + 632885997, + 951031155, + 628806510, + 34423460, + 254588671, + 358874527, + 221821493, + -1, + -1, + -1, + -1, + -1, + -1, + 813613822, + 91335395, + -1, + 375946340, + -1, + -1, + -1, + -1, + 72334779, + 150252912, + -1, + 342569776, + -1, + -1, + -1, + 178149502, + 658746094, + -1, + -1, + 253613952, + 40292249, + 801633936, + 553674764, + 54856498, + 745425688, + -1, + 577312845, + -1, + 947413831, + 271141994, + 287964308, + -1, + -1, + -1, + -1, + 148766918, + 419418807, + 382559738, + -1, + 359538962, + -1, + 456972748, + -1, + 45605111, + -1, + 959754530, + -1, + 683507519, + 426928606, + 608528557, + 41017956, + -1, + 364211180, + -1, + 566863945, + 698846671, + 743781379, + 806591677, + 389388973, + 753320172, + -1, + 59579470, + 586409449, + -1, + 970440804, + -1, + 288536608, + 773973463, + 166048251, + 256352907, + 361694602, + 935853918, + 930632429, + 801418522, + -1, + -1, + 652493026, + -1, + 957330657, + -1, + 813625778, + -1, + 428112382, + 905136408, + 557659270, + -1, + 682460126, + 160983401, + 248164807, + -1, + 610798174, + 873968812, + 118889817, + 994877676, + -1, + -1, + -1, + 578281726, + -1, + -1, + -1, + 417209187, + 261946399, + 945216479, + -1, + 925817386, + 362132386, + 399436890, + 669836453, + 32533343, + 261213996, + 616448673, + 402745783, + 480710628, + -1, + -1, + 148808479, + -1, + -1, + 751346777, + -1, + -1, + 270925288, + -1, + 905169619, + 281727208, + -1, + 527013304, + 264308166, + 340059619, + 653660208, + 572521857, + 710075812, + -1, + 436747171, + 257214689, + -1, + -1, + 386160532, + 22464183, + 332610571, + 294920417, + -1, + 160103401, + 149149623, + 289472437, + 410030720, + 67428184, + 634236753, + 884962474, + 768835724, + 986095476, + 797573925, + 589632860, + 533050280, + -1, + -1, + -1, + 451287597, + 650786659, + 692267201, + 334554938, + -1, + 745503270, + 362865916, + 107067398, + -1, + 465641625, + -1, + 226451324, + 301014722, + 807762714, + 409735130, + 886832965, + 971927340, + -1, + -1, + 194496103, + -1, + 919609485, + 670704758, + 439395511, + 145904827, + 424050219, + 204756113, + 164016146, + -1, + 95409954, + -1, + 777530518, + 84692637, + 496099788, + -1, + 738418339, + -1, + -1, + 82318208, + 997077905, + 655930148, + 949046085, + -1, + 122069249, + 995285023, + 144297335, + 156535089, + 398747130, + 509414449, + -1, + -1, + -1, + 229708242, + 576243691, + 840748349, + 903672119, + -1, + -1, + -1, + 735987924, + 57514626, + -1, + -1, + -1, + -1, + -1, + 21700957, + 183352770, + -1, + 557158564, + 690966411, + 126412757, + 778512492, + 144889470, + 161942504, + 874547285, + 610944447, + 298847093, + -1, + 434506611, + 105309790, + 185402225, + -1, + -1, + 737543951, + 951282607, + 547454937, + 611661490, + 32140036, + 677624998, + 810250526, + 247426241, + 220772870, + 761673420, + 450248753, + 266372373, + 44083102, + 918050483, + 796541272, + 900134407, + -1, + -1, + 53680309, + 110669175, + -1, + -1, + -1, + 56293382, + 977086890, + 496887952, + -1, + 717107462, + 102351248, + 835364015, + 476944145, + 908619877, + 78048285, + 95801169, + 673705911, + 286258373, + 629665395, + 709276676, + -1, + 633789505, + 785592087, + 69128897, + 384705408, + 982544174, + -1, + -1, + 159964837, + 489146962, + -1, + -1, + -1, + 136522153, + 364603728, + 161027842, + -1, + -1, + -1, + -1, + 876533420, + 98152473, + 177428254, + -1, + 282862601, + 260502418, + 413582607, + 209603779, + -1, + -1, + 513085401, + -1, + 346277856, + 485967984, + 111899, + 3759325, + 684783674, + -1, + 27266984, + -1, + 945629277, + 427104666, + 561406665, + -1, + 316613572, + -1, + -1, + 151583220, + -1, + 383950720, + 274507091, + -1, + 198416740, + -1, + 529643809, + 557425927, + 240200789, + 613130722, + -1, + -1, + -1, + -1, + 16215352, + -1, + -1, + 702150041, + 831014084, + 820116273, + -1, + 293011787, + 3963621, + 350023410, + 502777809, + 209586080, + 802006378, + 711801478, + 508396395, + -1, + 435167620, + 777008735, + 247824375, + -1, + -1, + 291986103, + -1, + 817673634, + 370919388, + -1, + 31308913, + 186427508, + -1, + 463272582, + 489083376, + 398121067, + 903310396, + -1, + 960193452, + 178172114, + -1, + 316915604, + -1, + 510836125, + 877548688, + 716615159, + 440441727, + 641249079, + 466617229, + 20995702, + 430697283, + -1, + 346239380, + -1, + 351333076, + 885216708, + 820267275, + 715544953, + 569314044, + -1, + -1, + 293226541, + -1, + 929250178, + -1, + -1, + -1, + 776874570, + 791164461, + -1, + 906153739, + 809802697, + 706842680, + 893102620, + 878564241, + 700827926, + 686471387, + 322300263, + 719682929, + -1, + 896798588, + -1, + 785487521, + -1, + 721361810, + -1, + -1, + 48406995, + 94799525, + 350831752, + 13889050, + -1, + 102497703, + 452163916, + 866328086, + 496030498, + 495114328, + -1, + 128775030, + -1, + 860364845, + -1, + -1, + -1, + -1, + 771322907, + 549656486, + 52648901, + -1, + 359889289, + 888969580, + 947911190, + -1, + 433635315, + 461264013, + 997774695, + 92364953, + 785960909, + 998828888, + -1, + -1, + 548588850, + -1, + 32442157, + 971755471, + 125010132, + -1, + 715069131, + 517582713, + -1, + 703680215, + 859390218, + 943153685, + 300102616, + -1, + 32327921, + 751186104, + 561656023, + -1, + -1, + 861524033, + 307189894, + -1, + -1, + 485063588, + 477327294, + 735400705, + 146740927, + -1, + 56960820, + 51751305, + 793018231, + 714814500, + -1, + 688165065, + 406121328, + -1, + 847570067, + 968205358, + 770010605, + 313209510, + 936419694, + -1, + 437210151, + 442977944, + -1, + 488484072, + 481026012, + 456158018, + 435309352, + 309829519, + 734137320, + -1, + -1, + -1, + 337269656, + 99204703, + 675555881, + 491568326, + -1, + -1, + -1, + -1, + 827622314, + 924086529, + 3109212, + 258299, + 427076634, + -1, + 439761189, + 928013038, + -1, + 930564339, + 677154020, + 91801304, + -1, + 879293107, + 981634126, + 393696498, + 28210931, + -1, + -1, + 862650303, + 312106351, + 294762330, + 765865705, + -1, + 843942436, + 550119124, + 667292471, + 141128666, + 229771778, + 849364299, + -1, + 373571291, + -1, + -1, + 430658232, + 197440103, + 895520519, + 660823223, + 746709528, + -1, + -1, + 878806346, + 64524006, + 94344519, + 85013305, + 723530721, + -1, + -1, + 308322623, + -1, + 30907261, + -1, + 897880059, + 545763075, + 423228442, + 409192724, + -1, + -1, + 775371373, + 456216089, + 295504985, + 552331664, + 18853733, + 132291675, + 977764605, + 638055078, + -1, + 271122759, + 641721128, + -1, + 969012094, + 538740698, + -1, + 861867635, + -1, + 875165292, + 155853955, + 656646221, + -1, + 839970064, + 287623999, + 763901692, + 261916503, + 62771565, + 862468798, + 25684783, + 851121783, + 454773821, + 784255479, + 405986679, + 657759221, + 235926312, + 479104895, + 723055004, + 604136298, + -1, + 864898611, + 642912648, + 468152826, + 230725374, + 941335127, + -1, + -1, + 295998306, + 132086127, + -1, + 978360396, + 888041664, + 922811342, + 836568056, + 526598650, + 538896711, + 303412613, + -1, + -1, + 180945641, + 616552331, + 397757512, + -1, + -1, + -1, + 578953709, + 849877038, + 643983579, + 832566896, + -1, + 962339058, + 666005476, + 965953611, + -1, + 535335894, + 77508425, + 131293241, + 798001594, + 302115066, + -1, + 326863749, + 361432690, + -1, + 638789670, + 488666799, + -1, + -1, + 379606422, + -1, + -1, + 616420798, + 881421073, + -1, + -1, + 378434961, + 34906234, + 755418624, + 341874254, + 923804144, + 687473569, + 424886008, + 238141654, + 399457541, + -1, + -1, + 257708827, + 644407479, + 817347456, + -1, + 773244226, + 600572954, + 243486531, + 452965406, + -1, + -1, + 273609824, + 440633212, + 465710858, + -1, + -1, + 872332784, + 237716094, + 458195668, + 631150737, + 949532331, + 228156229, + 422721216, + -1, + 884542070, + 617418873, + 280049214, + -1, + 218670040, + 702700066, + 365698994, + -1, + 658207679, + -1, + 371705322, + 936161937, + 861884564, + -1, + 518749679, + 337420001, + -1, + 695380135, + 916664247, + 630070835, + -1, + -1, + 477970092, + -1, + 278832203, + 653962383, + 91347751, + 966157970, + 665564052, + -1, + 478599626, + 817943749, + 125470210, + -1, + -1, + 977184935, + 495226905, + 930078877, + 337113978, + 191221386, + 985486183, + 401224576, + 411094126, + -1, + 744726928, + 689685036, + 197575205, + 744027398, + 618228140, + 772811432, + 509454475, + 345292153, + 31362553, + 744300886, + -1, + -1, + 212835514, + 158154840, + 802906524, + -1, + 7222764, + 127550059, + -1, + 913206430, + 747382252, + 222236150, + 728599084, + 213590730, + 898543045, + 238041315, + 649635079, + 604787489, + 687211162, + 12841019, + -1, + 589814301, + -1, + 415597720, + -1, + -1, + -1, + 334522007, + 408448072, + -1, + -1, + -1, + 97525059, + 512586222, + 118537869, + -1, + -1, + 800526569, + 30307075, + 348747064, + -1, + -1, + 136464898, + 748810819, + 83424468, + 446062428, + 203754766, + 640080835, + 244768716, + 122294745, + 339456625, + -1, + -1, + 462352659, + 800180879, + 28817430, + -1, + 865107561, + 500280920, + 968885062, + 841108983, + -1, + 496432342, + -1, + 246218470, + 875349591, + -1, + 998942263, + 217326742, + 958797999, + 491414325, + -1, + 140896897, + 559278902, + 125709557, + 471892743, + 60276938, + 24458915, + 690003224, + 242893599, + 998079192, + -1, + -1, + -1, + 280184567, + 792818199, + -1, + 729354084, + -1, + -1, + 939922184, + -1, + 940932945, + 315746798, + -1, + -1, + 1345227, + 17861838, + 904767963, + -1, + -1, + -1, + 297975029, + 75984284, + -1, + -1, + -1, + 932607401, + 768733744, + 121539064, + -1, + 820864645, + 72097184, + 960802996, + 506969956, + -1, + 748671665, + 204372039, + 360053105, + 147878629, + 400546571, + -1, + 950740550, + 949936026, + 692185257, + 632460898, + -1, + -1, + -1, + 524515096, + 594579450, + -1, + -1, + 969447651, + 66286772, + 452000731, + 561160476, + 663942337, + 570994199, + 506144879, + -1, + 146620382, + -1, + -1, + 846579803, + 360497230, + 279853062, + 391317290, + 412705883, + 470491700, + -1, + 406782645, + 860618932, + 246195419, + -1, + -1, + -1, + 266803997, + 571726413, + 118106528, + 56324080, + -1, + 831371531, + 734685200, + 764245462, + 340419476, + -1, + 83722793, + -1, + 223646283, + -1, + 361261865, + 416721590, + 787009752, + 972619661, + 403167796, + 42880680, + 853927914, + -1, + 257714210, + 910325464, + -1, + 372603094, + 357501668, + 471006292, + 454234473, + 56985896, + 28192762, + -1, + 177902992, + 280564307, + 761260521, + 99779820, + 357711451, + 739826045, + -1, + -1, + 764756013, + 419601543, + -1, + 498015988, + 489834371, + -1, + -1, + 382183927, + -1, + 403186678, + -1, + 907723670, + -1, + -1, + 886210099, + 756371435, + -1, + -1, + -1, + -1, + 636058482, + 568085305, + 244718482, + 212659098, + 779586765, + 553565481, + 164589288, + 811759145, + -1, + 779129134, + 209064834, + 662425012, + 898058649, + 753509587, + 723592084, + -1, + -1, + -1, + -1, + 220522119, + 599089968, + -1, + 28220633, + -1, + 375450409, + 221403956, + 135181887, + 764820093, + 351486221, + 489434014, + -1, + 638186212, + 624709635, + 175500522, + 400183947, + -1, + 710927642, + -1, + 279342156, + 295672090, + 745502668, + 520926366, + 844587803, + 486802818, + 741594662, + 478827714, + -1, + 847020853, + -1, + 641394822, + 641222391, + 950482955, + 797756695, + 347658363, + 228822286, + -1, + -1, + -1, + 472824985, + -1, + -1, + 381575513, + 605565756, + 551540175, + 902877346, + 211614679, + 738204780, + -1, + 293618898, + 371833772, + -1, + -1, + 769488875, + 363610547, + 286527366, + 367875560, + 288709671, + -1, + 373882166, + 214496690, + -1, + 337034684, + 748278612, + 604305475, + -1, + -1, + 940332941, + 741459169, + -1, + 665987416, + -1, + 975409987, + -1, + 895598710, + -1, + -1, + 485568586, + 215783482, + 286955560, + 428611599, + 820568092, + 245537225, + 627889878, + 198537616, + 44813371, + 502639504, + 254813473, + 360878598, + 228317540, + -1, + 920298169, + 828484213, + -1, + -1, + 573948165, + 579018127, + 340229177, + 524231646, + -1, + -1, + -1, + 262736129, + -1, + 293051643, + 695544160, + 627170441, + 924161593, + 880147088, + 759806319, + -1, + 199476525, + 814606316, + 894570452, + 110271978, + 504619100, + 792633580, + 117125122, + 887724294, + 622596239, + 929658231, + -1, + 739114782, + 816884438, + 870666577, + 677725155, + 573394902, + 279621198, + 254725079, + -1, + 517145373, + -1, + -1, + -1, + 743438561, + 505866448, + 269459648, + 556029320, + 219252885, + 919699030, + -1, + 970668749, + -1, + 28985439, + 796960697, + -1, + 331356650, + 854977665, + 239896088, + -1, + 281517348, + 258725830, + -1, + 884847901, + 479172706, + 309589029, + 477242964, + 965824645, + 707446280, + -1, + -1, + 256500153, + -1, + -1, + -1, + 283104949, + 978632738, + 260611107, + -1, + 489306149, + -1, + 350899134, + 954141428, + -1, + -1, + 23387884, + -1, + 822247034, + 518430497, + -1, + -1, + 656676513, + 187826307, + 490489303, + 989346531, + -1, + 876305827, + 833786255, + -1, + 402994473, + -1, + 382150257, + 40270921, + 183182149, + -1, + -1, + -1, + 257365732, + 538035212, + -1, + 901715907, + 433362052, + -1, + 440202794, + 300541950, + 651808721, + 845500371, + 211675540, + -1, + 420549383, + -1, + 802074870, + -1, + -1, + 629578417, + 348485535, + 295029135, + -1, + -1, + 869644450, + 591479026, + -1, + 951642517, + 956898904, + 849504430, + 957638244, + 751217112, + -1, + 656518220, + 866726685, + -1, + 642619944, + 118725012, + -1, + 675947434, + -1, + -1, + 9203162, + 67507851, + 411847102, + 974367486, + 991311113, + 865653171, + 381660778, + 2228462, + 957971856, + -1, + 798211421, + 855171990, + 692593773, + 198937401, + 788469310, + 395333358, + -1, + -1, + 585039007, + -1, + 952391982, + 631045767, + 146717661, + 778701220, + 877230255, + 345376451, + 498972628, + 172557215, + 389308627, + 716470942, + -1, + 145371187, + 765330787, + 933550284, + -1, + 564357744, + 236728531, + 468262323, + 888669492, + 125421247, + -1, + 466764278, + -1, + 862111118, + 633687730, + -1, + -1, + -1, + 181559309, + 621945555, + 191672371, + 505961453, + -1, + 565996077, + 160984359, + 107971818, + 508584114, + 246088470, + 550668572, + 640634662, + 189195393, + -1, + 164421329, + -1, + 954019266, + 912677260, + -1, + -1, + 201779891, + 711995489, + 825012624, + -1, + 322714973, + 357881982, + 757477426, + 47976496, + -1, + 912578619, + 157694926, + 546125146, + 968082033, + 603801327, + 174980964, + -1, + 457767431, + 94625367, + -1, + -1, + 120894624, + 78501141, + 345002509, + -1, + 985291668, + 571324478, + 25580378, + -1, + 140117307, + 837142012, + 666051140, + -1, + 890750598, + 531262421, + 93614961, + 116616314, + -1, + 672014086, + -1, + 472722268, + 991769051, + -1, + 331950311, + 897570561, + -1, + -1, + 735789995, + -1, + -1, + -1, + 542954166, + 794565243, + 369202585, + 286991696, + 867731546, + 965401321, + 104648119, + 590879134, + -1, + 518894694, + 248557336, + 76702956, + 458385800, + -1, + 885266277, + 605462254, + -1, + -1, + -1, + 934925369, + -1, + 944878329, + -1, + 755538367, + 674550956, + 76695853, + -1, + 148771103, + -1, + -1, + 109859534, + 361402402, + 729914577, + 634851236, + 945429741, + 183665683, + -1, + 458256160, + 250056477, + 397844602, + 59447418, + 590336505, + 531260079, + 897346863, + 294966243, + 272081446, + -1, + 228007282, + 831268086, + -1, + 425810728, + -1, + -1, + -1, + -1, + 49278007, + 149828934, + 335201924, + 21482162, + -1, + -1, + 544938906, + 206075143, + -1, + 169049368, + 545691374, + 635541380, + 464551092, + -1, + 509714171, + 212114335, + 617312606, + 956416719, + 511531437, + -1, + -1, + -1, + 455616365, + 837076668, + 461112220, + 228272349, + 610574895, + 964179645, + 835374227, + 411036398, + -1, + 175724412, + -1, + 543953400, + 116659807, + 655339277, + 600996094, + -1, + 546661474, + -1, + 435560842, + 266587123, + 798022115, + -1, + 870324038, + 228720354, + -1, + -1, + 169201732, + 401161341, + 299311266, + -1, + 694744800, + 109368369, + 152958654, + 210144744, + 158780993, + -1, + 501741319, + -1, + 250240682, + 664093960, + -1, + 143307853, + 798308572, + 579161617, + -1, + 942335354, + -1, + 659576375, + 849514025, + -1, + 924654658, + 193858835, + 952670937, + 477179111, + 138004277, + 861284145, + -1, + 400294000, + 437833269, + -1, + 676275575, + 993909656, + 978898721, + 737920545, + 904966510, + -1, + -1, + 953474458, + -1, + -1, + -1, + 616039192, + -1, + 279186903, + 16347618, + 554835259, + 331575522, + -1, + 724176367, + 847079183, + -1, + 997822716, + 694721419, + -1, + 465364465, + 325274884, + 133681300, + -1, + 856115154, + 593120854, + -1, + -1, + 195451600, + 340439016, + 107288021, + 948413633, + -1, + -1, + 284813540, + -1, + -1, + 424825682, + 423528964, + 336719158, + 87498470, + 138642452, + -1, + 768198809, + -1, + 739822599, + 566056118, + 439313338, + 656292235, + 809007111, + 815517164, + 600859173, + 29648508, + 294783122, + 514615319, + 731964330, + 185482343, + 898967953, + 708089192, + 126754314, + 906480074, + 883134477, + -1, + 975105271, + 100689121, + -1, + 278499500, + -1, + 253357153, + 161177254, + 954540185, + -1, + 392392043, + 792029064, + 990109520, + 738877647, + -1, + 395401517, + 705716740, + 629222940, + 329645385, + 361711930, + 743022246, + 552396297, + 916244941, + 677800698, + -1, + 10252334, + -1, + -1, + -1, + 611739903, + -1, + 615521217, + -1, + 573995426, + -1, + 961806420, + 175599184, + 872591338, + 293255319, + 319868872, + 470544838, + 961750510, + -1, + -1, + 349054296, + 685013704, + -1, + 237729344, + 278205038, + 817307800, + 812492590, + 423099178, + 302947681, + -1, + -1, + -1, + -1, + 962490184, + -1, + 579852582, + 899396897, + 247399564, + 987779347, + 62822688, + 165750012, + 684039343, + 999753648, + 5269401, + 909301219, + 997083693, + -1, + 958581137, + 45414084, + 78803416, + -1, + -1, + 779541645, + 962763794, + -1, + -1, + 304799302, + 690222216, + 772415345, + -1, + 349524646, + 701244492, + -1, + -1, + -1, + 3460202, + 291988761, + 161058138, + 304285647, + -1, + 225018188, + -1, + -1, + -1, + 873882332, + 632509068, + -1, + 435106793, + 126394504, + 497724928, + 583231467, + -1, + 397650375, + 445204496, + 508934441, + 379679962, + -1, + 32382256, + 797884285, + 437626478, + 658937732, + 820271090, + -1, + 81738796, + -1, + 934710430, + 567495833, + 698786753, + 304039948, + 967457470, + -1, + -1, + 712007880, + 168733213, + 623983033, + 53807240, + 913100658, + -1, + 566596605, + -1, + 730164569, + 894931642, + 209852297, + 420935549, + 390633138, + -1, + 707162059, + -1, + 846990357, + 801618311, + 767078012, + 875167843, + 977075675, + 722744391, + -1, + 586717652, + -1, + 532350009, + 29876642, + 770617273, + -1, + 790557800, + 605893917, + 142978669, + 571877036, + 456769976, + 324656017, + -1, + -1, + 101216871, + 412290428, + 173217128, + 145840519, + -1, + 338704661, + 584434294, + -1, + -1, + 776290408, + 475456361, + 23306449, + 616958137, + 64391388, + 422462944, + -1, + 394389237, + 46467296, + 810127789, + 906719499, + 414117714, + -1, + 762965036, + 598071719, + 731185495, + -1, + -1, + -1, + 270080594, + 262197771, + 653171228, + 314031642, + 526264308, + 986515713, + -1, + 242661296, + -1, + -1, + 760207329, + 470646438, + 641721305, + 612713969, + -1, + 117248175, + 954277884, + 929212775, + 524981581, + 409978623, + 293290566, + -1, + -1, + -1, + 987297706, + 889858280, + 739839343, + 832850606, + 215328779, + -1, + 595252337, + 220848457, + 356016844, + 650611305, + -1, + 10351620, + -1, + -1, + 894279410, + 645148424, + 33179350, + 80998847, + 417721801, + -1, + 319055043, + 964317456, + -1, + 949229870, + 745190165, + 413838170, + -1, + -1, + 624995656, + -1, + -1, + 888449159, + -1, + 360095124, + -1, + 924248370, + 560806344, + 414840044, + 498696462, + 428377172, + 257353796, + -1, + 466703412, + 766622673, + 254090553, + 548486022, + -1, + 616002357, + 303552950, + -1, + -1, + 711360054, + -1, + -1, + 52316062, + 507603972, + -1, + 611915794, + -1, + 129134048, + -1, + -1, + 275436323, + -1, + 550836089, + 847722102, + 405151004, + 494957204, + -1, + -1, + -1, + 770996299, + 773422602, + 668725399, + 353134534, + -1, + 802727166, + 251812890, + 218060678, + 315554025, + 429079338, + 22625319, + -1, + 382975543, + 730454667, + 525416027, + 302962969, + 574599695, + -1, + 548578479, + -1, + -1, + -1, + 811678167, + 627014526, + -1, + -1, + 221894319, + -1, + -1, + 320781159, + 351254998, + -1, + -1, + 610265675, + 988759692, + 341043376, + 739512694, + 306042865, + 249477934, + 133413655, + 830527609, + -1, + 520641621, + -1, + 691762218, + 694819089, + 299695692, + -1, + -1, + -1, + 864873506, + 926724779, + 854484284, + 748095100, + 613198545, + -1, + 658529117, + 117675584, + 588199549, + 352872964, + 504581545, + 578824655, + 719222045, + 326322872, + -1, + -1, + 521681991, + 653558363, + -1, + 254082220, + 309942639, + -1, + -1, + 944528211, + 287371537, + 316711599, + 522918252, + 956854060, + 8048076, + 375425275, + 837766045, + -1, + -1, + 746978833, + -1, + 697068703, + 652079701, + 990998010, + 691962489, + 135183259, + 556385323, + 81014703, + -1, + 552713023, + -1, + 954693036, + 875333999, + 555686377, + -1, + 800956133, + -1, + 8008897, + 801979486, + 901469327, + 394782061, + -1, + 314386196, + 15880484, + 370036973, + 613263175, + 712546568, + 71920461, + -1, + 774198531, + -1, + -1, + 450896318, + 402343144, + 45103102, + 897300332, + 461117006, + -1, + 960446109, + 787544187, + -1, + 803505205, + -1, + -1, + 993837826, + 747660271, + -1, + 939544093, + 582827486, + -1, + -1, + 514675539, + -1, + 318377089, + -1, + 797601651, + -1, + 38037528, + -1, + 614241393, + 718927512, + -1, + -1, + -1, + 148033130, + 33636583, + -1, + -1, + 412951910, + 925906130, + 52816924, + 18765612, + 500132901, + 137150621, + 715288175, + -1, + 4436988, + 874004668, + 578076892, + 541219987, + 598057232, + 916047358, + 815861198, + -1, + 369671291, + -1, + 871164061, + 209057022, + 819767446, + 419903672, + -1, + 668367783, + -1, + 682866337, + 83985017, + -1, + -1, + -1, + 228193876, + 50576555, + -1, + -1, + 370348114, + -1, + 23587823, + -1, + -1, + 115035816, + -1, + -1, + -1, + 90431917, + 950802146, + 405927511, + 885496008, + 482620961, + 599592777, + 193958408, + 750271397, + 557528744, + 11981848, + -1, + 625008295, + 974612422, + -1, + 159720499, + 491578368, + 156512809, + -1, + 671086636, + 467881934, + -1, + 101409062, + 793237739, + 395485410, + 144472336, + 755195360, + 154670310, + -1, + 69712883, + -1, + -1, + -1, + 550959085, + 1294728, + 878824997, + 411284969, + 847908235, + -1, + 267732830, + -1, + 691505763, + -1, + 20997123, + 700002068, + -1, + -1, + -1, + -1, + 13960806, + 408666832, + 416139985, + 104283263, + 379513911, + -1, + -1, + 502355541, + -1, + -1, + 544642743, + 932552542, + 683765782, + -1, + 923206987, + -1, + 111374998, + -1, + -1, + 941693554, + -1, + -1, + 455331729, + 272058228, + 211336152, + 162750126, + 734239210, + 495398323, + -1, + -1, + -1, + 95974677, + 173691630, + 4094779, + 31794252, + 251442851, + 732697216, + 128782151, + 133435041, + 321322496, + 593217958, + 55803112, + 427504591, + -1, + 548311296, + 625153843, + 581441314, + -1, + 442137457, + 221650535, + 376753565, + -1, + 625077641, + -1, + 629970966, + -1, + -1, + -1, + 553203736, + 404835811, + 518043677, + -1, + 469621906, + 39401396, + 533254010, + 622029263, + 359853018, + -1, + -1, + -1, + -1, + -1, + -1, + 822593417, + 352956895, + 913008841, + 566983731, + -1, + 287863510, + 327144786, + 554615219, + 824048635, + -1, + 588242176, + 266592670, + 409743763, + -1, + -1, + -1, + 850083146, + -1, + -1, + -1, + 896701368, + -1, + -1, + 729658773, + -1, + -1, + 558437537, + 613816210, + 328254029, + -1, + 908142185, + 571215278, + 605243537, + 348036400, + 195718909, + -1, + 58530190, + 271885184, + 579343201, + 865958230, + 462942737, + 336129130, + 95176262, + 277124200, + 110759967, + 439817780, + -1, + 675701636, + -1, + -1, + 428479352, + 468099449, + 338421524, + 667631077, + 431326353, + 943287427, + 715762067, + 368230644, + -1, + -1, + 606132336, + 721028474, + -1, + -1, + 145214003, + 219012838, + -1, + 122657356, + 822665136, + 196375176, + 454972490, + 512012096, + 284663401, + -1, + 854558605, + 802234259, + 558118153, + 363270141, + 941509423, + 333307531, + -1, + 743883445, + 586365572, + 138429639, + 207457884, + -1, + -1, + 368742962, + 620459029, + -1, + 408763486, + -1, + 963122351, + 757035887, + 112043562, + -1, + 233014350, + 622651708, + 477413268, + 143458278, + 457681438, + 966772083, + -1, + 75597320, + -1, + 35020172, + 976789183, + 261277059, + -1, + 309937374, + -1, + 25283998, + 47372882, + 585033898, + 193602852, + -1, + 380848234, + 872101106, + 108330226, + 761220894, + -1, + 447492651, + 43982813, + 274901840, + -1, + 427907004, + -1, + -1, + 216452237, + 510063448, + 316491576, + 417319772, + 95032365, + -1, + 894447327, + -1, + 377926428, + 119754039, + 362832373, + -1, + -1, + -1, + 50901188, + 772895984, + 416776957, + 25904645, + 192647178, + 798535529, + 428155061, + 102947350, + 58829491, + -1, + 269547583, + 207870217, + 268468868, + 986168058, + 2687845, + 772749839, + 794227696, + -1, + 223307257, + 662575571, + 556658170, + 792675159, + 403409746, + -1, + -1, + -1, + -1, + 376426007, + 853101276, + -1, + 103723102, + 882777841, + 768012796, + -1, + -1, + 495547414, + 629609388, + 167612113, + 496906721, + -1, + -1, + -1, + 670593453, + 836225934, + 485073757, + -1, + -1, + -1, + 881219019, + 685947012, + 480009819, + 914102093, + 857846770, + 491802791, + 219023427, + -1, + 530635887, + 581724393, + 630248676, + 534484343, + 969951344, + -1, + 590101948, + -1, + 614943441, + 768811356, + -1, + 574583874, + 233834821, + -1, + 567305683, + 383334396, + 417071354, + 767523897, + -1, + -1, + 693842458, + 607265567, + 937394301, + -1, + -1, + 128931738, + 260646076, + 330502427, + 601041645, + -1, + 273916076, + -1, + 132176576, + 991286275, + 504608664, + 720229613, + 146790159, + 317373912, + 555199722, + 935292159, + -1, + -1, + 889950880, + 832214210, + 974154081, + -1, + 560400613, + 621367602, + 939740146, + 491095290, + 372294899, + 226142581, + 99844754, + -1, + -1, + 73531436, + 842025398, + 532698692, + 696761103, + -1, + -1, + 767585844, + 949440090, + -1, + 598400563, + -1, + 528187912, + 730946151, + 99019323, + -1, + -1, + -1, + 98039305, + -1, + -1, + 446089996, + -1, + 698666928, + -1, + 106176596, + 919601190, + 795753212, + 713343903, + 374037966, + 692915403, + 959956967, + 476658116, + -1, + 18157616, + 506666980, + 890865900, + 49922863, + -1, + 397619824, + 334998606, + -1, + -1, + 408638439, + 657366815, + 689706743, + 431643036, + 70898315, + -1, + 185314269, + 965292613, + 743247564, + -1, + 851310374, + -1, + 280771870, + 700964071, + 307412251, + 442801888, + 371341439, + 656481732, + 313208970, + 44347858, + 243360085, + 293849189, + 979899222, + -1, + -1, + -1, + 178840085, + -1, + 403298851, + -1, + 262733562, + -1, + 917034029, + 196549506, + 915933877, + 920445977, + 706838881, + 191095466, + 823765883, + 92580722, + 679363990, + -1, + 435154525, + -1, + 320386071, + 248739830, + -1, + 189525752, + -1, + 394262803, + 638550804, + -1, + 189480141, + 864895171, + -1, + 302453357, + 824808547, + -1, + 958054720, + -1, + 843275046, + -1, + -1, + 820450730, + 922320227, + 556716075, + -1, + -1, + -1, + -1, + 923704462, + -1, + 622854912, + 849080369, + 442178888, + 75120771, + 627746543, + 95830332, + 357700293, + 319189051, + 560776578, + 848482169, + 204434577, + 463742232, + 908752883, + 222844041, + 84970027, + 790580030, + 193168629, + 734611198, + 46791498, + 867912291, + -1, + 521717572, + 846488557, + 377348143, + 312948392, + -1, + -1, + -1, + 584169608, + -1, + -1, + -1, + 714100086, + 762639090, + 837075361, + 405916101, + 486355663, + 726425950, + -1, + 873967300, + 821145145, + -1, + 221307502, + 869383804, + -1, + 683320247, + 647597985, + 689566416, + 481459145, + 538235165, + 476497783, + 455817887, + 640662438, + 677006254, + -1, + 182739125, + -1, + -1, + 753555319, + 3697355, + 190571196, + 52870133, + 250541927, + 848960072, + 73220870, + 470025719, + 746470795, + -1, + 191921026, + 970627601, + 304508996, + -1, + 667358772, + 295946824, + 50253717, + -1, + 691127164, + 400807044, + -1, + 214619923, + 990887151, + 143795476, + 785135937, + -1, + -1, + -1, + 9202449, + -1, + 343976903, + 159310639, + 102775080, + -1, + 128062613, + -1, + -1, + 978407103, + 663534554, + 966599172, + 843547269, + -1, + 315800532, + 570160417, + 600472328, + 646753100, + 570628745, + 798269703, + 920115793, + 502914931, + -1, + -1, + -1, + -1, + 547597925, + -1, + 318955816, + 185136783, + 917905537, + -1, + 810144086, + 208054636, + -1, + 340931691, + 75606745, + 968798139, + 184310488, + 591307683, + 753740124, + -1, + 129130654, + 930223293, + 518061348, + -1, + 656227879, + 745814517, + 466161411, + 416988620, + 688389121, + 536160099, + 706586894, + 151188614, + -1, + 165059402, + 696158652, + 773880366, + -1, + 224807802, + -1, + -1, + -1, + -1, + 151488862, + 981518839, + 917368832, + 965486179, + 847392555, + 91191736, + 770101611, + -1, + -1, + -1, + 109144288, + 492064920, + 745889517, + -1, + 5141910, + 84220172, + -1, + 500101096, + 225273358, + 618325857, + 927238895, + 377741861, + 733930528, + -1, + 882437177, + 978486648, + 769463531, + 728015218, + -1, + -1, + -1, + 16496176, + -1, + -1, + 963454836, + 777744317, + 724009958, + 856055953, + 43617885, + 261077860, + 959418031, + 393188365, + -1, + 9804002, + -1, + -1, + 229540222, + -1, + 127742957, + 551438649, + -1, + 46893242, + 14271076, + -1, + -1, + 48092620, + 449940122, + -1, + 281872049, + 381004161, + -1, + 753243694, + 651997028, + 430218395, + -1, + 24893516, + 841821335, + 557124076, + -1, + -1, + -1, + -1, + 808489735, + 958416338, + -1, + 363942909, + 939453534, + -1, + 226987171, + 968575148, + 94413529, + 872841941, + 143258210, + -1, + 36935441, + -1, + 272739800, + -1, + -1, + -1, + 266837360, + 964911170, + 409673895, + 346270663, + -1, + 417719952, + 829301581, + 119223776, + -1, + 781879609, + 829512140, + 778870053, + 400934016, + -1, + -1, + -1, + 467571680, + 537986616, + -1, + 818462781, + 710087431, + 32520790, + -1, + 762130841, + -1, + 728741764, + -1, + -1, + 167173395, + 652396108, + 138987382, + 815383692, + 297776036, + 965181470, + 746799868, + -1, + -1, + 352387574, + 328971531, + -1, + 165826950, + 566576227, + 918894152, + 253901135, + 889145308, + 48840020, + 695047616, + 762248024, + 145750521, + -1, + 403547036, + -1, + -1, + -1, + -1, + 137309930, + 849553943, + 244719077, + 267275865, + -1, + -1, + -1, + 727581760, + -1, + 978449550, + 130443570, + 872387992, + -1, + 82618332, + 618446764, + 470363874, + -1, + 666493446, + 778358142, + 913981817, + -1, + 742156488, + -1, + 19989364, + 834590867, + 917851694, + 188308154, + -1, + -1, + -1, + 791517497, + -1, + 980847117, + 548730196, + 455457071, + -1, + 30915216, + 69614427, + -1, + 888517443, + -1, + -1, + 313313172, + 767092020, + -1, + 374437771, + 549653026, + 411168930, + 778415947, + 998374051, + 453596322, + 11446014, + 78870965, + -1, + 344266928, + -1, + -1, + -1, + 739461972, + 609539054, + 792507348, + -1, + -1, + 365573341, + -1, + 387134621, + 251111283, + 704929997, + 578499144, + 693759850, + 170624414, + -1, + 624815799, + -1, + 244594629, + 6049709, + -1, + -1, + 387851486, + 450872304, + 496899531, + 634478692, + -1, + 699393281, + 951715730, + 933284361, + 98098042, + 14615095, + 964971937, + -1, + 304716861, + 229665556, + 543730582, + 893469238, + 806615498, + 872211005, + 684946878, + -1, + 673707914, + -1, + -1, + 375627409, + 819154681, + 654786361, + 15576142, + -1, + 311391778, + 189836540, + 870804143, + 699423061, + -1, + 583737001, + -1, + 241475917, + 732061342, + 567253597, + 661838365, + 866645114, + 430323553, + 154796086, + -1, + 189784691, + 174394032, + 114159743, + 478022016, + 330404611, + 73549469, + -1, + 308979051, + 421166096, + 317183020, + 339105558, + -1, + 93521064, + 609244450, + 355617488, + -1, + 14085242, + -1, + 20759826, + 717610188, + 430770693, + 905116887, + 27512232, + 495545654, + 884410206, + 96389628, + 528197728, + 715476379, + 333709635, + -1, + 784295755, + -1, + -1, + -1, + 582701548, + 150272502, + -1, + 871113097, + 166567128, + -1, + 171762905, + 770029742, + -1, + 798345104, + -1, + 872967987, + 308654241, + 615760630, + 559248487, + 784625273, + -1, + -1, + -1, + -1, + -1, + -1, + 974835182, + 843017809, + 334413963, + -1, + 74587387, + -1, + -1, + 141097209, + 289200037, + 213357258, + 531161898, + 964558982, + 576839873, + 749049650, + 165825689, + -1, + 527009012, + 436555289, + 277727215, + -1, + 22119505, + 705438046, + 134555802, + 150998933, + 478197793, + -1, + 638976847, + 183045189, + 248686350, + 141697721, + -1, + 534374715, + -1, + 87234991, + -1, + 150011623, + 327497275, + -1, + 391661143, + 424391431, + 615975771, + 186908907, + 146342206, + 636367559, + 29094425, + 548130454, + -1, + 766218267, + -1, + 94009280, + -1, + -1, + 596939754, + 162410430, + 698175250, + 834901779, + 561388032, + -1, + -1, + 979440601, + 963502699, + -1, + -1, + 377611218, + -1, + 705154416, + 610019516, + 666295863, + 264299160, + -1, + -1, + -1, + -1, + 558105485, + 239522707, + -1, + -1, + 415873013, + 564579447, + -1, + 602884928, + -1, + 337955270, + -1, + -1, + 200239968, + -1, + 163669228, + -1, + -1, + 138699410, + 363692612, + 961633031, + -1, + 131735428, + 682232798, + 936788938, + -1, + 955078709, + -1, + 800963546, + 943502673, + 587689440, + 858456176, + -1, + 179398600, + 650882988, + 916996609, + 156323574, + 267004185, + 135485910, + -1, + 597423858, + 489671458, + 73298982, + 335206760, + 574035057, + -1, + 916277374, + -1, + 274249810, + 627520890, + 884141042, + 258176519, + 149017011, + 140653733, + 379602908, + 637015033, + 445504604, + 937141159, + 360990698, + 910058220, + 916738215, + 931681705, + -1, + 670672292, + 384969755, + 231344031, + -1, + -1, + 213082483, + 527038561, + 808043907, + -1, + -1, + 948312821, + 151581398, + -1, + 438101769, + 493074597, + 428308743, + 174108568, + 9715073, + 321622541, + -1, + 934763531, + -1, + 189011808, + -1, + -1, + 637037039, + 115685632, + 760069608, + -1, + 83524772, + 71637709, + 893032989, + 772892291, + 54247940, + -1, + 213948742, + 596444019, + 111296680, + 362276617, + 195903849, + 96036709, + 127925360, + 70289765, + -1, + 31098327, + -1, + 237171893, + -1, + 765399773, + 573770790, + 33602771, + -1, + 934831593, + 569821162, + 446014501, + 841565298, + 461398700, + 909168691, + -1, + -1, + 719951126, + -1, + 563557318, + -1, + 722818749, + 937221807, + 70598689, + -1, + 909563797, + 612723570, + 388075509, + 415021259, + 308227049, + -1, + 254944457, + 681387701, + -1, + -1, + -1, + 858531470, + 204643228, + 705109961, + 290337074, + 752951651, + 336314235, + 34172024, + -1, + 767139349, + 649525338, + 887347500, + -1, + 551559093, + -1, + 620365875, + 36773022, + 450572985, + -1, + 787552017, + 903305123, + -1, + -1, + 247212883, + -1, + 956211407, + 922665504, + 510391875, + 463489812, + 964441574, + 291776290, + 391469176, + -1, + 903372923, + 729247887, + 472760668, + -1, + 413509998, + -1, + -1, + 110850137, + -1, + 993342007, + 544912448, + 958423854, + 860368155, + 517079303, + -1, + 330141399, + -1, + 809200700, + 704222961, + -1, + 999460748, + 289612862, + 21898560, + 3154982, + 883838465, + 36095896, + 106118091, + 618766547, + -1, + -1, + 806147207, + 961254926, + -1, + -1, + 427659889, + -1, + 603082348, + 307418908, + 529978377, + -1, + 614982087, + -1, + 498893817, + -1, + 615879499, + 688304523, + 589164391, + 158261617, + 227507678, + 721699449, + -1, + -1, + 82229735, + 815564528, + -1, + 933540439, + -1, + 150265674, + -1, + 92953229, + 454988188, + 67250523, + 782277867, + -1, + -1, + 445331084, + 723332132, + 348934796, + 347797129, + 650435280, + 81802128, + 330778031, + 270268684, + -1, + -1, + 943080928, + 549011944, + 488333257, + 776323847, + 760627559, + 228067378, + 109878025, + 717720217, + 13082769, + 825971318, + 371362384, + 961217189, + 634299327, + -1, + 24114342, + 842608565, + 298921438, + 509971291, + -1, + 769712981, + 935263018, + 249654222, + 830518422, + -1, + 992142734, + 369274225, + 547183563, + -1, + 966738456, + 718089890, + 996424916, + -1, + 199425792, + -1, + -1, + 901927641, + 471361230, + 292880239, + 272618589, + 613816465, + 624742951, + 180588, + 949410400, + -1, + 181840307, + 300087090, + -1, + 749121851, + 404441409, + 430932650, + 249744410, + 410222150, + 831452303, + 556998747, + -1, + -1, + 993611979, + 963134383, + 737939324, + 114407405, + -1, + 124500966, + -1, + 667296479, + -1, + -1, + -1, + 335537903, + 123450775, + 493776821, + 632890541, + 396492455, + 361798651, + 91439383, + 384254861, + 358392325, + 547578476, + -1, + -1, + 916475853, + 135075327, + 373534656, + 178793816, + 570258919, + 238800517, + 922756736, + 584412807, + 38623730, + -1, + -1, + -1, + 355338721, + 735940021, + 643218886, + 786055759, + 673730751, + 77940862, + 55613321, + -1, + 691452659, + -1, + 921857784, + 405163823, + 695282172, + 589475341, + 935700148, + 944110531, + -1, + 505947730, + 691303791, + 719353131, + 1169133, + 634863507, + 994182556, + 611208864, + 482422340, + 633905508, + 910991602, + -1, + 377735946, + 830838552, + 821293997, + 286070124, + 76300287, + -1, + -1, + -1, + -1, + -1, + 250693453, + 539601244, + 463656834, + -1, + 839311042, + 518533529, + 729443943, + 576330095, + 245854167, + -1, + 39970392, + 520913626, + 939210733, + 680764342, + -1, + 417527363, + 45670794, + -1, + 130268450, + 158685601, + 106500340, + -1, + 188436970, + 605813071, + 520436720, + 425270477, + 60787715, + 878415843, + 297109703, + -1, + -1, + 51257426, + 791838634, + -1, + 56615649, + 601421063, + 886668794, + -1, + 226617367, + 30446093, + -1, + -1, + 84117199, + 336428382, + 476425302, + 806276603, + 635269061, + 976711131, + 393512269, + 398576752, + 987047775, + -1, + 119124753, + 6453745, + 493464678, + 816783271, + -1, + 438635213, + 503999872, + 658139834, + 499887584, + -1, + 260436443, + -1, + -1, + 640806241, + 663688446, + 540610780, + -1, + -1, + -1, + 783727675, + 966635981, + 642211850, + 623910461, + 519183197, + -1, + -1, + -1, + 575737187, + -1, + -1, + 276535326, + 100012586, + -1, + 871121016, + 673702333, + 888870759, + 64322621, + -1, + 719148956, + -1, + 845628203, + 762674576, + -1, + -1, + 901188001, + 504316895, + 762120716, + 652040307, + 77745376, + 406637575, + 228304280, + -1, + 833035194, + 255798696, + 904594717, + 541330552, + 112780532, + 331738, + 651396462, + 43943640, + 916275643, + 763142538, + -1, + 960570886, + 444218311, + -1, + 853813495, + 19618184, + 360928061, + 304091445, + 22533429, + -1, + 404749660, + -1, + 457586273, + 182379357, + 71962566, + -1, + 459846456, + 641679383, + 449662645, + -1, + -1, + 203887931, + 18400948, + -1, + 431952138, + -1, + 18537168, + 514762811, + -1, + -1, + 696093938, + 945379534, + 825994408, + 595334828, + -1, + 163906539, + 766340976, + -1, + 953889250, + 811192495, + 489602600, + 197443736, + 935687297, + -1, + 804371038, + 715514228, + 44012038, + -1, + -1, + 117134207, + 69182071, + -1, + 900285587, + -1, + 115394421, + -1, + -1, + 623366948, + 623663456, + 595135492, + 808511325, + 157894422, + 732682524, + -1, + 255499422, + 773884505, + 525667000, + 187143586, + 975222211, + -1, + -1, + 653270358, + 343023485, + 995711724, + 490632655, + 692368994, + 768132063, + 237513651, + -1, + 168580923, + 315679629, + 57166166, + 449509544, + 816509785, + 267406732, + 760825636, + 720773152, + 421047136, + 461411850, + -1, + 499793835, + -1, + 611069179, + 661667882, + 367177361, + 66048474, + 899574872, + 542341410, + 620198256, + 446050244, + 769855260, + 920774364, + 672305655, + 1514192, + 966877338, + 345807458, + 355529632, + -1, + -1, + -1, + 245616733, + -1, + 211068090, + -1, + -1, + 772230515, + 926139307, + 749383737, + -1, + 579589659, + 312906500, + 25337042, + 784079498, + -1, + 694855289, + 345395175, + 828455339, + 487023178, + 907260979, + -1, + 772936432, + 515338158, + 466148012, + -1, + 446511380, + 20558700, + -1, + 84692344, + 484566570, + 165492861, + 846817533, + -1, + 860685168, + -1, + 793258314, + 258399503, + 803238343, + 107078480, + 695725937, + -1, + -1, + 75667888, + -1, + 75036491, + -1, + 596209362, + 10404077, + -1, + -1, + 305314157, + 852238042, + 483207092, + -1, + 204604924, + 45742555, + 707967547, + 148028882, + 234977479, + 414070853, + -1, + 5578475, + -1, + 163154795, + -1, + 364329660, + 76847014, + -1, + -1, + 853557745, + -1, + -1, + -1, + 835929852, + 434823903, + 361389262, + 89392432, + 264761866, + -1, + 769680436, + 617165267, + 171459090, + 633961497, + -1, + -1, + -1, + 605793972, + 220388877, + 825060012, + 541438434, + 410931234, + 808536960, + -1, + 852489797, + 341263213, + -1, + -1, + 183041313, + 865052910, + 381888154, + 197969588, + -1, + 731816147, + 338449336, + 259349975, + -1, + -1, + -1, + -1, + 777717602, + 122628932, + 656804350, + 167592817, + -1, + 66645470, + 306410703, + -1, + 429585331, + 810944080, + -1, + -1, + 421056405, + 507224213, + 96651934, + 514551331, + 688901027, + 585862577, + 137549826, + 101328512, + 733344452, + 174310820, + 938287338, + 256677453, + -1, + -1, + 989393480, + 451893419, + 6053335, + 130396429, + 686281283, + 793081877, + 823024184, + 702016584, + -1, + 288524105, + 195141907, + -1, + 694905210, + 189564302, + -1, + 831081414, + 519344894, + 560077800, + -1, + 711010325, + 718762421, + 710980314, + -1, + 711430322, + 330252631, + 224223808, + -1, + 355844343, + 988775742, + -1, + -1, + 908016575, + 855254324, + -1, + 103003064, + 957666870, + -1, + 639053746, + -1, + 155840485, + 910690994, + 533301654, + -1, + 746064844, + 423246565, + 291214962, + 192952843, + 954239872, + 222357876, + -1, + 563363441, + 605660013, + -1, + 49342349, + 248604585, + 784007996, + 216698593, + -1, + 443459834, + 869646186, + 351306900, + 385383695, + 752499355, + -1, + 517933717, + 333174429, + 590270815, + -1, + 728600099, + -1, + 939812874, + -1, + -1, + 118214781, + 5243694, + -1, + -1, + 675772346, + 909651951, + 681587207, + 28654889, + 744722544, + -1, + -1, + -1, + 361634698, + 865826953, + 477389851, + 593115657, + 686235483, + 790029130, + -1, + 140401395, + -1, + 350999033, + 184584659, + 941446749, + 644205638, + 287644265, + 554713547, + 7643158, + 68172488, + -1, + 96941472, + 262623493, + 405241405, + -1, + 592076349, + 928434880, + 277635200, + 292927370, + 738447700, + 573204323, + -1, + 292869727, + -1, + 536623112, + 359805849, + 264633442, + 253022804, + 512765297, + -1, + -1, + 286988929, + 273746976, + 215369189, + 889610026, + 559293164, + 871681754, + 76400412, + 513323191, + 575496963, + 935990929, + 851785218, + -1, + 716622021, + -1, + -1, + 999981484, + 831764258, + 728798211, + 233250896, + 915670035, + 845886062, + -1, + 105718903, + 125938540, + 108732085, + -1, + 545596935, + -1, + 588698720, + -1, + 3829167, + 993220180, + 226432413, + 632562881, + 729177639, + -1, + 312668559, + 344204821, + -1, + 4095221, + 374424030, + 258150489, + 282013192, + -1, + -1, + -1, + -1, + 873193308, + -1, + 474841217, + 266264914, + -1, + 27494772, + -1, + 928736673, + -1, + 583922291, + 74888170, + 143541124, + 426419945, + 434136964, + 863329131, + -1, + 353569746, + 309172512, + 762672712, + 143306245, + 987645983, + 563546102, + 485066174, + 970507048, + -1, + 534481921, + -1, + 303005476, + 393848803, + 479891858, + 375217967, + 664046618, + 385297206, + 577924652, + 433032491, + 619668772, + -1, + 166713256, + 818680139, + 523978845, + 94530436, + 610638692, + -1, + 144724677, + -1, + 43730478, + -1, + -1, + -1, + 258855916, + 975177668, + 910525224, + 740768636, + 69453109, + -1, + 602880575, + -1, + 617432809, + 808081830, + 149722759, + 124901451, + 725801099, + 791750896, + 62566280, + -1, + 581461879, + 794118445, + 812360105, + 544764831, + 739296786, + 335413379, + -1, + -1, + -1, + 280873233, + 76916490, + -1, + 653705316, + 999528684, + 583467727, + 166823279, + 701525190, + -1, + 711659241, + -1, + -1, + 520803345, + -1, + 337831663, + -1, + 466797050, + 796914943, + 530442786, + 687659186, + 235420562, + 361562313, + -1, + 504699346, + 83037422, + -1, + 591870158, + -1, + 545570077, + 538163910, + 487786580, + 591554303, + 374743697, + 178540775, + 261636029, + -1, + -1, + -1, + -1, + 915486247, + -1, + 758283019, + 131371448, + -1, + -1, + 704747483, + 890159337, + 953021669, + -1, + 624806385, + 659158712, + -1, + 300706112, + 563280824, + -1, + 44280269, + 748925361, + -1, + 312509884, + 42871623, + -1, + 589886169, + 996536372, + 252909913, + 357887006, + -1, + 95888404, + 427136269, + -1, + 320896956, + -1, + 36728260, + 889689833, + 907395033, + -1, + 778221336, + 112542808, + -1, + -1, + -1, + -1, + 334732863, + 128339856, + 869573282, + 600917749, + 87748328, + -1, + -1, + 553745935, + -1, + -1, + 787268029, + 74607435, + 585485050, + 147119283, + 229795866, + 835285621, + 972128853, + -1, + -1, + 935968338, + 756776486, + 40264678, + 798333073, + 131167823, + 74758740, + 384853274, + 358391258, + 113390794, + 236387702, + 638946236, + -1, + 389328305, + 180887566, + -1, + -1, + 400668133, + -1, + -1, + 704961360, + 157083242, + -1, + -1, + 511571983, + 321195931, + -1, + 182721195, + 139585040, + 762782419, + 498233794, + -1, + 642781493, + -1, + 654066927, + 268394412, + 87120896, + 566560081, + -1, + 624856103, + -1, + 770250658, + 740931651, + -1, + 989522574, + 575916733, + 372699931, + 403927877, + 493846713, + 496757529, + -1, + -1, + 669487898, + -1, + 434992709, + 878917916, + -1, + 861923176, + -1, + 876446201, + -1, + 653748121, + -1, + -1, + 803586959, + -1, + 985179420, + 284732126, + 656543384, + 535624589, + -1, + 973270861, + 249036140, + 793948761, + -1, + 371713482, + 358897394, + -1, + -1, + 451784095, + 33366644, + 632000064, + -1, + 831464415, + 637066032, + 468152811, + 576162730, + -1, + 765542464, + 197367813, + 671607546, + 688158093, + 973456591, + -1, + 418118768, + 979796721, + 176313866, + -1, + 57405290, + 401544711, + 465740943, + -1, + 816991660, + 314492624, + 178799971, + -1, + 414041814, + -1, + 824228259, + 262309043, + 887074010, + 255977416, + -1, + 159808859, + 405927007, + 84565906, + -1, + 299466208, + 329631898, + -1, + 766827912, + 616350734, + 444403957, + 663790392, + 435737308, + 580285435, + 219977667, + -1, + 297597630, + 42550253, + 281767172, + 839542164, + 936155818, + -1, + -1, + -1, + 37225610, + -1, + 248686554, + 139159024, + -1, + -1, + 665690770, + 658136066, + -1, + -1, + 564595930, + 147625921, + -1, + -1, + 46694630, + -1, + -1, + 726432965, + 199338927, + -1, + 691679572, + 42435234, + 543472150, + -1, + 220762394, + 506933446, + 790254463, + 980312569, + 351919370, + -1, + 804752196, + -1, + 419374312, + 994063846, + 631764227, + 344774356, + 68270788, + 473713317, + 1737883, + 648153490, + -1, + 467259144, + 621984497, + -1, + 887943894, + 365360507, + -1, + -1, + -1, + -1, + 391198017, + 699391697, + -1, + 535048518, + -1, + -1, + -1, + 312521776, + -1, + 933925793, + 309719684, + 543842662, + 801198404, + 29567712, + -1, + 981283767, + 35379414, + 197819317, + 616838560, + -1, + 677646454, + 965421987, + 894307441, + 655637080, + 206036527, + -1, + 481745911, + -1, + 470227832, + 49788794, + 692855852, + -1, + -1, + 463181365, + 997337449, + 562392775, + 746154047, + 734547100, + 408972764, + 423054814, + 908366648, + 221431185, + -1, + 754528645, + 948498367, + -1, + 253487458, + -1, + 750993957, + 906049374, + -1, + 178057806, + 130908526, + 207732519, + -1, + 749803265, + 560862666, + 560003362, + -1, + 897931364, + -1, + 426892931, + 642815404, + 555837528, + -1, + 864151866, + 558846393, + 317405232, + 737902006, + 402041581, + 79685648, + -1, + 322959753, + -1, + 243656336, + 443555661, + -1, + 491443699, + 126728290, + -1, + 636279323, + -1, + 133391230, + 512909486, + 328174786, + -1, + 546371287, + 436310215, + 430654241, + 107313380, + 127029161, + 349678470, + -1, + 104444818, + 152022558, + 580000580, + 650082639, + 333195945, + 729831847, + -1, + 506405240, + 47451072, + 429770760, + 865323977, + 233445823, + -1, + 154310917, + 652715634, + 750173993, + 660071025, + -1, + 90844238, + 674063851, + 955415082, + 493414658, + 292935773, + -1, + -1, + 999279260, + -1, + 431294298, + -1, + 101925923, + 838541909, + 293240109, + 902155388, + 414580981, + 743150752, + 549198676, + 350199603, + -1, + 956394040, + 880460802, + 744165092, + -1, + 95758889, + -1, + 468934606, + 658842656, + -1, + -1, + 140528994, + 625631655, + -1, + -1, + -1, + 751340464, + 766070106, + 302870740, + -1, + 332984066, + 785548323, + 96560726, + -1, + -1, + 898554865, + 968406010, + 626976276, + -1, + -1, + 678135245, + 669356529, + 746274787, + -1, + 391858734, + 458064596, + -1, + 172605739, + 885708591, + 415363297, + 349926752, + -1, + 415778603, + 731735305, + 112693381, + 192958534, + -1, + -1, + -1, + 565860840, + 704108047, + 908534935, + 516890628, + 179537229, + 561203405, + 423475682, + 697892213, + 32178748, + 82159059, + 45059740, + 407437643, + -1, + -1, + -1, + 957867263, + -1, + 698874919, + -1, + 298129937, + -1, + -1, + 860869879, + 463425633, + 62408123, + 545493866, + 341133815, + 861678202, + 230457364, + 681974778, + 257971239, + 254942643, + 514896308, + -1, + 763146645, + 791009286, + 497078805, + 677287841, + 266488265, + -1, + 222679268, + -1, + 441758085, + -1, + 815831013, + -1, + 229378878, + -1, + -1, + 274464101, + 96307504, + -1, + 339454798, + 455363159, + 268062544, + 357751379, + 511392167, + 655381582, + 468584656, + 133686148, + 586349618, + -1, + 520286986, + 302022740, + 264649108, + 88326239, + 19775643, + 130564730, + -1, + 325927981, + 281202881, + -1, + 22756843, + 427186739, + 771816077, + -1, + 203254748, + -1, + -1, + -1, + 861550355, + 87050900, + -1, + 330151316, + 288827472, + 288840918, + -1, + -1, + 685000997, + -1, + -1, + 202706850, + 826381144, + 995100557, + 818436003, + 274759109, + 728652849, + -1, + 323414450, + 830594627, + -1, + -1, + 527911204, + 123583446, + -1, + 481606685, + 725866408, + 715759615, + 400331545, + -1, + 706315069, + 845296107, + 597468398, + -1, + 361733905, + 124618751, + 563692787, + 201740616, + 795995319, + -1, + 678712117, + 174290779, + 760936904, + -1, + 501602489, + 218892690, + 234318317, + -1, + 803792746, + -1, + 143121436, + 451768559, + 886238597, + 199820265, + 979509369, + 805349709, + -1, + 43269560, + -1, + -1, + 810522987, + 558301519, + 329767055, + -1, + 420147053, + 686863141, + 468345997, + -1, + -1, + 723045049, + -1, + 759609662, + -1, + 638077765, + 506159286, + 808786995, + -1, + 391090269, + 650256354, + 151052945, + 543217355, + -1, + 582471469, + -1, + 148843489, + -1, + 861986260, + -1, + 988393879, + -1, + 746258626, + 5807489, + -1, + -1, + 341436706, + 262750349, + 486473032, + 215508178, + -1, + 904451371, + 984777685, + 136851847, + 128185228, + -1, + -1, + -1, + 685366554, + 221866105, + -1, + 948927089, + 988517772, + 412120016, + 917611069, + 106140563, + -1, + -1, + 473250109, + 697621931, + -1, + -1, + 446172600, + -1, + 700623758, + 927932017, + 988047318, + 629183150, + 218752110, + 276277069, + 555892955, + -1, + -1, + 901917415, + 484064698, + 872746064, + 774686274, + 128638212, + 548213286, + 137585735, + 729565336, + 549235501, + 749208858, + -1, + -1, + -1, + -1, + 876251480, + 225448494, + 232333694, + -1, + -1, + -1, + 356207538, + -1, + -1, + 666765753, + 853709335, + 629520839, + 9977999, + -1, + 347952231, + 842342373, + 263634048, + 114471253, + 301469388, + 946571816, + 525479594, + 485690876, + 863002190, + 385478528, + 819356476, + 34830335, + 889684904, + 364497067, + -1, + 669160219, + 959808030, + 513734489, + 472976856, + 952865064, + 245237102, + 52312099, + 671771346, + -1, + -1, + 936391264, + 261807135, + 183180926, + 315314153, + -1, + 776886892, + 782155069, + 162927268, + 456127581, + 453472538, + 999538334, + 483151514, + -1, + 230783274, + 393650388, + -1, + -1, + 309501785, + 254948291, + 609106487, + -1, + 315549670, + -1, + -1, + -1, + 891237443, + -1, + 302557629, + -1, + 607350089, + 322887530, + 596647448, + 729002118, + 702223386, + 981987385, + 33536432, + -1, + -1, + 508144414, + -1, + 990304004, + 560138178, + -1, + 99574178, + -1, + 798004856, + 324064337, + 491668482, + 182092055, + -1, + 181824174, + -1, + -1, + -1, + 176830700, + 165884945, + -1, + 295793902, + 526594823, + 729155795, + 413021763, + 880909762, + -1, + 548199151, + 603879468, + -1, + 3236422, + 531693208, + 100060793, + 368959156, + 598753744, + 898373488, + 770716126, + 957570469, + -1, + 934753362, + 117075346, + -1, + 984063222, + 71661652, + -1, + -1, + 442028665, + 691812743, + -1, + -1, + 65415424, + 799596288, + 707181804, + -1, + -1, + -1, + 414697738, + -1, + 924894915, + 273713923, + 639315965, + 424228820, + 218765460, + 42278577, + 989130867, + 822643898, + 386432856, + 425485594, + 914557508, + 328535570, + -1, + 389413071, + 647395653, + 670985943, + 376273463, + 217963304, + 797912923, + -1, + -1, + 839706859, + 526181500, + 577276536, + 219274997, + -1, + 277191424, + 691189215, + 321509529, + -1, + -1, + -1, + 238643897, + -1, + -1, + 829308623, + -1, + 944470713, + -1, + 438192383, + 876468631, + 256362629, + -1, + 120934677, + 700880721, + 656392175, + -1, + 117034470, + -1, + 462240356, + 712652001, + 192378373, + -1, + 443751406, + -1, + -1, + 609462902, + 680925226, + 563386728, + 632178487, + 63470897, + 691452226, + 242327477, + 735906432, + 107588900, + -1, + 366132907, + 916077768, + 858868680, + 75938018, + -1, + 362972535, + 840640194, + 64959918, + 647339404, + 554433497, + -1, + -1, + -1, + -1, + 20471517, + 42705629, + 869105706, + 6286717, + -1, + 227034575, + -1, + 712559913, + 184266636, + 127047177, + -1, + 944001388, + 739345627, + 52451792, + 692281976, + 210853891, + 845091235, + 752226700, + 392614178, + -1, + 39605162, + -1, + 891614500, + 299218382, + -1, + 354629962, + -1, + -1, + 26090095, + 599190785, + -1, + 686314028, + 824928884, + 284455863, + 816893020, + 340670035, + 715884336, + 287375417, + 943041129, + 859876948, + 859326769, + -1, + -1, + 503934313, + 713603460, + 815932531, + -1, + 154793641, + 873891377, + 216210124, + -1, + -1, + 919602116, + 375101825, + -1, + -1, + 226628095, + 130646418, + 769792442, + -1, + 410442324, + 776033241, + -1, + -1, + 445202767, + 285395530, + 964084140, + 591111022, + 642481099, + -1, + 64323560, + 996017532, + 642986691, + 435817131, + 398546466, + 351752901, + 341822890, + 74109017, + -1, + 298391656, + -1, + -1, + 697095515, + -1, + -1, + 388795077, + -1, + 865046296, + -1, + 952352000, + -1, + 855204089, + -1, + 343846935, + -1, + 800299846, + 276209017, + -1, + 939887484, + 389579669, + -1, + 107246660, + 271250474, + 849512811, + 223380297, + 694270289, + 880510609, + 717452895, + 850164857, + 62312027, + -1, + 254247465, + 809547818, + -1, + 755318256, + 626502874, + 366884382, + -1, + 569878250, + 484558244, + 311272134, + 496049668, + -1, + 900132383, + 543479308, + -1, + -1, + 428648633, + -1, + -1, + 311227371, + -1, + -1, + -1, + 820075533, + 135322495, + -1, + 235510643, + 162702443, + -1, + 782507921, + 228280723, + 876635056, + -1, + 656051459, + 357313049, + 361529316, + 942765578, + 416140568, + 564010770, + -1, + 560510472, + 600691625, + -1, + -1, + 336723635, + 115775593, + 786914557, + 646990400, + -1, + 425197321, + 64642360, + 309210808, + -1, + 986815754, + -1, + 813613297, + 26297967, + 242743232, + 37963550, + 146098945, + -1, + 945489457, + 366497234, + 904227163, + 810435380, + -1, + 166736599, + 76512515, + 234839942, + 335132728, + 222080152, + 424977963, + 284535196, + 382083682, + 803185773, + -1, + 908247540, + 344310811, + -1, + -1, + 75021208, + 449586576, + -1, + -1, + 332207562, + 245318433, + 538178849, + 334200627, + 221617417, + 908183243, + 76949166, + -1, + -1, + 87582509, + 977238093, + -1, + 621940177, + 590766444, + -1, + -1, + 954567173, + 165455164, + 386909196, + 404424979, + 802835957, + 902379454, + 49046262, + 285667790, + -1, + 188633380, + 402299769, + 454252183, + 936306260, + -1, + 995512416, + 369619883, + 750079734, + 357859136, + 331918490, + 725496804, + 13263265, + -1, + -1, + 164272127, + 867787220, + 955365026, + 735782043, + 483554702, + -1, + 586785796, + -1, + -1, + 797315952, + 996960223, + 401988405, + 719471598, + 896239675, + 459451150, + -1, + 165861879, + 201527199, + -1, + -1, + 384710933, + 523704285, + -1, + 896665742, + 384215020, + 673419672, + -1, + 828008766, + 166879788, + 263926464, + -1, + -1, + 134601160, + 106206435, + -1, + 788561830, + 290782874, + 646239073, + 582365836, + 860452685, + -1, + 781333585, + 315306133, + 225979061, + 109573147, + 212564846, + 927334083, + 334541200, + 280896999, + 64800683, + 959741293, + -1, + 269574183, + 383513483, + -1, + -1, + -1, + 856909992, + 555862498, + 121280075, + 481553151, + 196489076, + 416476972, + -1, + 182464154, + 569228895, + 224446123, + 194396922, + 77619117, + 850138209, + 372126697, + 920090678, + 788678516, + -1, + 746061185, + 971473703, + -1, + 72113402, + 484471417, + 330683908, + 505255326, + -1, + -1, + 302764007, + -1, + 767148059, + 752901992, + -1, + -1, + 807717516, + 746369694, + 314313055, + 633873692, + 926784079, + 947043173, + -1, + 355757123, + 967332723, + 319219390, + 717878192, + 60048691, + 89289547, + 832162283, + 113653815, + 82894025, + 411304189, + 464112778, + 896811576, + 623480651, + -1, + 68655798, + 553439034, + 14693044, + -1, + 404431860, + -1, + 446318192, + -1, + 971299532, + 544397487, + 783723003, + -1, + 724282624, + 278735136, + 765421956, + 98860444, + 583673257, + 444496161, + -1, + -1, + 708527551, + -1, + 559111134, + 115221241, + 387005902, + 492350173, + 579125804, + 145886422, + -1, + -1, + 380941249, + 385432660, + -1, + 101052471, + -1, + 419949273, + -1, + 145275815, + 231408017, + 553401091, + 225298307, + 584155668, + 764561940, + -1, + 273508856, + 544180574, + 987418693, + 659522967, + 468281014, + 622867142, + -1, + 237947226, + 434514243, + 530532550, + 779609607, + -1, + -1, + 762444439, + 77638682, + 364154388, + 857082902, + 680964961, + 806858941, + -1, + 558835883, + 736594030, + -1, + -1, + 3741120, + 505157689, + 227383904, + -1, + -1, + 101289668, + 400682741, + 870543042, + 561201960, + -1, + 687282843, + 510720593, + 771729014, + 675523001, + -1, + -1, + -1, + -1, + 623668146, + -1, + -1, + -1, + 172670205, + -1, + -1, + -1, + 603463763, + 487440461, + -1, + -1, + 367603657, + -1, + -1, + 181765954, + -1, + 555604705, + 247339093, + -1, + 892198862, + 105675008, + 592049987, + 648282062, + 100489171, + 791227317, + 615304826, + 541405390, + 410495159, + 187438893, + 855652033, + 363174563, + -1, + 331766442, + 66606385, + -1, + 695310178, + -1, + 900717594, + -1, + -1, + 640496666, + -1, + 395492001, + 342329302, + 7280887, + 549450631, + 845184728, + -1, + -1, + -1, + 500626622, + 824163571, + -1, + 703311653, + -1, + 210829893, + 2978932, + 637126607, + -1, + -1, + 36324531, + 253087628, + 359779503, + 551235053, + -1, + 949252450, + 635722420, + 933790656, + 296714851, + 989686582, + 633150066, + 82784607, + 229196942, + 188522669, + 583761509, + 175913565, + -1, + 540016376, + 420849193, + 213047306, + 979119487, + 185912477, + 146031571, + 953729960, + 484661549, + 270494706, + 975725534, + 326993262, + 915950634, + 405910817, + 969390205, + -1, + 906252117, + -1, + 104090491, + 513523757, + 65964710, + 354316691, + -1, + 548221963, + -1, + 375521853, + 923999415, + 824906354, + 123034711, + 722271811, + 384365385, + 368109416, + 313868771, + 602370304, + 369281470, + 295778715, + 142667216, + 94693677, + 684860397, + 97271139, + 193665513, + -1, + 108767493, + 915201054, + 961306618, + 537897650, + 767463079, + -1, + -1, + 346130721, + 732647698, + 622728204, + 507526987, + 611701846, + -1, + -1, + 920320684, + 762744879, + 534281915, + 458715152, + 274289700, + 599819997, + -1, + 284281500, + -1, + 10033890, + -1, + 218867621, + 746734206, + 437047872, + 121321022, + 782156045, + 619588532, + -1, + 832310737, + -1, + 834616849, + 343255590, + 455912267, + 921665652, + -1, + 41641819, + 921238895, + -1, + -1, + -1, + -1, + 890271246, + -1, + -1, + -1, + 742946516, + 648656370, + 762784086, + 43570265, + -1, + 395884916, + 784025047, + 165179150, + -1, + -1, + 38888891, + 124022709, + -1, + 982201269, + 340186795, + -1, + 105946453, + 833459313, + 145126607, + 453001866, + -1, + 286979571, + 405479163, + -1, + -1, + 994618021, + 12679223, + 406324971, + 346468154, + -1, + 864485733, + -1, + -1, + 715003100, + 459581995, + -1, + 910241309, + 613518898, + 811177451, + 711508746, + 895980983, + 934861654, + 389543811, + -1, + 716141262, + -1, + 4227149, + 663469847, + -1, + -1, + 160228754, + 544313348, + 361031707, + -1, + 81965939, + 525801608, + -1, + -1, + -1, + 284715854, + 58319835, + 855014844, + 882327050, + 890847766, + -1, + 532341026, + 337371498, + 910403293, + 545894704, + 226205502, + 68895553, + 501297698, + 59133207, + -1, + -1, + -1, + 500103159, + 150393493, + -1, + 264238653, + 220876810, + 769891550, + 191628632, + 239812689, + 554213637, + 853553154, + 807725954, + 938727740, + 78292902, + 298689031, + 911550252, + 302547369, + 977934098, + 360963095, + 877867498, + -1, + -1, + 879730692, + 498618967, + 243956970, + 924879525, + -1, + 529644019, + 356499556, + -1, + 719189778, + 339112076, + 23410237, + 389135179, + -1, + -1, + -1, + 602056925, + 845017020, + 250056203, + -1, + -1, + 494051139, + -1, + 720236436, + 66852841, + -1, + 443430871, + 566064313, + 764506013, + 443151872, + -1, + 819978255, + 603103363, + 475261569, + 369409301, + 640099608, + 628439060, + -1, + -1, + 721935387, + -1, + 729843611, + -1, + 691260790, + -1, + -1, + -1, + 526231609, + 782767081, + -1, + -1, + 419891042, + -1, + -1, + -1, + 586557602, + 291945871, + 291389761, + 991616606, + 499078838, + 919326862, + 507486954, + 432002001, + 606473293, + 16662692, + 808131335, + -1, + 563530044, + -1, + 225970652, + -1, + 884922218, + 193223961, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 714238597, + 105145438, + 247297541, + -1, + 968306157, + -1, + -1, + 453118692, + 870496458, + 714863085, + 821704539, + 141208025, + 846850669, + 775875425, + 547195419, + -1, + 912588673, + 813082572, + -1, + 637471838, + -1, + 749808831, + 984732071, + 813157429, + 469398817, + 3033861, + 350932900, + -1, + -1, + -1, + 185626955, + 390098431, + 624468002, + 872311678, + 606850685, + -1, + 583318159, + -1, + 283629786, + -1, + -1, + 311330004, + -1, + 867660620, + 483098134, + 993944774, + -1, + 348410350, + 148789984, + -1, + -1, + 835282265, + 305382841, + 142539910, + 234949786, + 759296393, + 731749357, + 941704535, + 730749196, + -1, + 537950139, + 119761668, + 587310822, + 399292596, + 243006501, + 475207216, + -1, + -1, + 289256348, + 267847373, + 694920316, + 978560537, + 433153378, + -1, + -1, + 163935530, + 910675471, + 340960353, + 323276819, + -1, + -1, + 893538749, + 296903572, + 194425390, + 790631181, + -1, + 860251041, + 285229680, + -1, + 831376261, + -1, + -1, + 802956100, + 646913075, + 620090594, + -1, + -1, + 127311174, + 510366406, + -1, + 789058919, + 322024083, + 596741162, + -1, + -1, + 114543072, + -1, + 568170478, + -1, + 653239072, + 701440393, + 784679569, + 937308149, + 935579485, + 235765089, + 383660243, + -1, + 307918605, + 470586298, + -1, + 860552494, + -1, + -1, + 913437204, + -1, + 61607616, + 811784630, + 866122002, + 136233069, + 868703301, + 531769127, + 849016072, + 45085940, + 726343866, + 700501183, + 302818149, + 560880225, + 441992272, + 823416522, + -1, + 71025690, + 32138764, + 433137196, + -1, + -1, + 419267006, + 604378283, + 752945745, + -1, + 406146494, + -1, + 860751305, + 49917207, + 82494080, + -1, + 768307310, + -1, + 648942417, + 561032151, + 713918109, + 141728390, + 285378143, + 726230495, + -1, + -1, + 527503990, + 168567, + 61336306, + 380717568, + 756188541, + 975117997, + 511792426, + -1, + -1, + -1, + 900040643, + -1, + 132086421, + -1, + 320801163, + 107126043, + 924211295, + 417680286, + 59596871, + 823331914, + 458108887, + 746310381, + -1, + 623518345, + 81069464, + 388593134, + 487325521, + -1, + 149335084, + -1, + -1, + 145661324, + -1, + 963961158, + 218420656, + 975030529, + 709068560, + 268575866, + 919335405, + -1, + -1, + 700600252, + -1, + 367856144, + 671954621, + -1, + 39708757, + 591767089, + 730386298, + 295846801, + 255266151, + -1, + 338525866, + 515331320, + 667073206, + 654315168, + -1, + 230831068, + 952288986, + 559266648, + -1, + 148148936, + -1, + 194658905, + -1, + 122905228, + 201408432, + -1, + 470343038, + 286161957, + 994619518, + 640140267, + 761441500, + 734104065, + 547949612, + 384115711, + 80461400, + 716420380, + -1, + 701537855, + 582614696, + -1, + 451570742, + 299080812, + 411439641, + 431310682, + 922113201, + 431993973, + 430085206, + -1, + 134839208, + 130201426, + -1, + 803850548, + 257199283, + -1, + -1, + 865225463, + 239211926, + -1, + -1, + 130731650, + 761183622, + 829548976, + -1, + 371393489, + -1, + 817310992, + -1, + 146256110, + -1, + 865530022, + 741174727, + 137729721, + -1, + -1, + 179020970, + -1, + 570401839, + 430619727, + 206139699, + 396468941, + -1, + 188010318, + -1, + 319179407, + 964725871, + 888767129, + 43759377, + 356766578, + -1, + 200639967, + 471675745, + 21851224, + -1, + 377052942, + 544019583, + 328238001, + -1, + 688851418, + 931846989, + 549442811, + -1, + 293443445, + -1, + 871541811, + -1, + 621504740, + 234962208, + 225189009, + 724460018, + 177126760, + 744802, + 110875589, + 447331066, + 686905586, + -1, + -1, + 377623044, + 999604112, + 925551641, + -1, + -1, + -1, + 121636310, + 917442815, + 548414757, + 629805272, + 558558593, + 418501840, + 812813214, + 925446521, + 909145874, + 680234569, + 854190733, + 750520171, + 162862076, + 41773175, + -1, + 911571772, + 709840491, + 316220027, + 337704294, + 847531164, + -1, + -1, + 190739689, + 922727683, + -1, + 66676911, + 584998905, + 241368102, + 300571557, + 22506964, + -1, + 597344716, + 862910362, + 396887855, + -1, + -1, + -1, + -1, + 113582019, + 42438735, + -1, + 272881114, + 804433672, + -1, + 185081379, + 736521118, + -1, + 80898452, + 895919035, + -1, + 754160506, + 384584236, + 569012969, + 303689565, + 93073351, + 306048909, + 503731897, + -1, + -1, + 144840853, + 506250781, + 811066820, + 423804303, + -1, + 758278078, + 124991433, + -1, + 982529986, + -1, + -1, + -1, + 303555686, + 933546388, + -1, + 277900389, + 497288689, + 653175124, + 341181534, + 711574332, + -1, + 709896906, + -1, + -1, + 644894196, + 86539657, + 606181527, + 455481135, + 726769959, + 801880523, + 121505528, + 289592624, + -1, + -1, + 976951605, + -1, + 914384967, + 979323562, + -1, + 428409106, + 762616261, + 947411616, + -1, + 766422134, + 689042364, + 793196738, + 357254809, + 213299079, + 33604327, + -1, + 107320868, + 583133943, + 421337859, + 795434467, + -1, + 871710347, + 562533861, + 836164132, + 37344131, + -1, + 429798939, + 168957236, + 969210800, + 291925261, + 664075473, + 583871989, + 309807481, + -1, + 173936855, + 802735228, + -1, + 950289009, + 826360201, + 915870869, + 190250095, + 985430983, + 586931596, + 507664562, + 41628000, + 55826291, + 910192126, + 501054864, + 338122403, + 184435666, + -1, + -1, + 33764682, + 41874979, + 186121695, + -1, + 500671030, + 618443235, + -1, + 394589118, + 50626190, + 383759250, + 960428083, + -1, + 226374808, + 445100200, + 6685881, + 178680222, + 910901532, + 285720462, + -1, + 598181641, + -1, + 862066718, + 841938932, + 517914407, + -1, + -1, + 47538854, + -1, + -1, + -1, + 321020200, + 767221178, + 368223719, + -1, + 912594266, + 879878161, + 332288292, + 50720831, + 22374437, + 36790058, + 677196648, + -1, + 100860634, + 199839264, + 476925599, + -1, + 975944782, + 777354814, + 327368956, + -1, + -1, + -1, + 182294865, + 890095117, + 258335225, + 762775135, + 490049212, + 808533877, + 365056415, + 437382719, + -1, + 188177510, + 240344495, + 611258262, + 604895835, + -1, + 983687313, + 619909188, + -1, + 277348985, + 709987719, + -1, + 631599012, + 699249380, + -1, + 256799222, + -1, + 355242664, + 705583860, + 226856355, + -1, + 433521398, + -1, + 114904241, + 302149379, + 748442565, + -1, + -1, + 62635669, + -1, + 503466083, + 253802068, + 484242141, + 136079314, + -1, + 171630943, + 54281416, + -1, + 346171657, + 433286353, + -1, + 653787829, + -1, + 490691890, + 847503244, + 445296446, + 957177923, + 144662977, + -1, + 237710912, + -1, + -1, + 24429866, + 1509927, + 70871530, + 729018674, + -1, + 405870792, + -1, + 862600163, + 463546720, + 26062522, + 890376725, + 557316140, + 652552481, + 340770055, + 254517953, + 845308536, + -1, + -1, + 434922011, + 340220845, + -1, + 263953775, + -1, + -1, + -1, + -1, + -1, + -1, + 697235005, + 104150330, + 748729364, + -1, + 300360714, + 624858706, + -1, + 922868879, + -1, + 854655592, + -1, + 872029470, + 660609822, + 910090852, + 761226932, + -1, + 210051899, + -1, + -1, + -1, + -1, + -1, + -1, + 378485207, + 32057694, + 14524566, + -1, + -1, + -1, + -1, + 707228124, + 193924810, + 392291261, + 426431731, + 705911281, + -1, + 592166213, + 282058253, + 105150699, + -1, + 964356019, + -1, + 153431289, + 748324611, + 576183431, + 385871201, + 45566060, + -1, + 921558391, + 688522170, + 219838445, + 157255472, + 587162612, + 520951190, + -1, + 252266594, + 454168085, + -1, + -1, + -1, + 239325495, + 467510720, + 777840361, + -1, + -1, + 799628736, + 133928658, + 834800840, + 42177707, + 80335786, + 526844640, + 998457144, + 765602616, + 52506741, + 648943351, + 751291161, + -1, + -1, + 973753044, + 972139571, + -1, + -1, + -1, + -1, + -1, + 183948719, + 225334395, + 346008805, + 339514063, + 909342396, + -1, + 620238000, + 669350689, + 731007236, + -1, + 457836460, + -1, + 970233432, + 739006112, + 649944831, + 164867721, + 177270552, + 320082543, + 930998563, + 830889445, + 519524256, + -1, + 459226894, + 215726634, + 336356247, + 935880973, + 952139077, + 394521728, + 383356486, + -1, + -1, + 268493186, + -1, + 989739160, + 143749233, + 255726706, + -1, + -1, + 391912511, + 710833206, + 377260856, + -1, + 949624177, + 788435503, + -1, + 421636901, + 707799315, + -1, + 474008748, + 721324195, + 262754343, + -1, + 112876106, + 421582074, + -1, + 499967848, + 961076879, + -1, + 559000216, + 80266558, + 476793283, + 992034787, + 563932118, + -1, + 555401443, + 26523948, + 949815508, + 581367963, + 680452427, + -1, + 567069661, + 72989491, + 698515317, + -1, + 254320160, + 183924218, + 218812341, + 218038242, + -1, + 796720072, + 541157979, + 151022328, + 920353707, + 122979737, + 289070592, + 677175367, + 942099686, + 849060840, + -1, + 489016830, + 349751379, + 866498183, + 854490488, + 840286982, + 881888699, + -1, + 372863989, + 893607480, + 756270363, + -1, + -1, + 558859464, + 959570969, + 188743508, + 54200129, + -1, + 128154479, + 493020610, + -1, + 932249404, + -1, + 352990821, + 752104794, + 109678800, + 812205449, + 99732268, + -1, + 93436315, + -1, + 645291357, + 704037108, + -1, + 516144501, + 783073061, + 910482782, + 252085704, + 877586502, + 318366525, + 111251055, + -1, + -1, + 767943264, + 708614046, + 63074228, + 48909014, + -1, + 565007527, + 678551668, + 288592735, + -1, + -1, + -1, + 24908607, + 973923609, + 181305117, + 107772529, + 104992110, + 734891825, + 656152153, + 994380614, + 184715047, + -1, + -1, + -1, + 251247181, + -1, + 624934224, + 415243404, + -1, + 311897159, + 879017303, + -1, + 330897753, + -1, + 186859873, + 374511222, + 138299353, + 967136904, + 928565734, + -1, + 413447583, + 255391404, + 621474083, + -1, + 651612334, + -1, + 267009609, + -1, + 236285002, + 592131172, + 351739481, + 46717256, + 171888683, + 169108496, + 626091344, + 144812024, + -1, + 363829926, + 862550429, + 116258322, + -1, + -1, + 508992919, + -1, + 756670702, + 725810703, + -1, + 769036702, + 715938550, + 85871508, + -1, + 379983844, + 96628402, + 891689618, + 777250812, + 22823007, + 861782187, + 387519740, + 725466616, + 623558449, + 442100509, + 469610939, + -1, + 436591367, + 492222750, + 102804079, + 331134232, + 870308808, + -1, + -1, + -1, + 793600480, + 878905933, + 389827834, + 953192944, + 999657378, + 25704359, + 25103721, + 472627710, + 859651012, + 341426228, + 624350760, + 681967294, + 190735030, + -1, + -1, + -1, + 618431223, + 611440633, + 28318921, + 607065179, + -1, + 304824890, + -1, + 523206974, + 250448279, + 61427810, + 226524898, + 996564633, + -1, + 747513997, + 908642987, + 791595067, + 589919948, + 730121800, + 857632624, + -1, + 425971770, + 129657048, + 604769066, + 947509644, + 258354978, + 372748843, + -1, + 382572742, + -1, + 149895089, + -1, + 399829845, + 549577792, + 698466387, + 707813148, + 635121264, + 225009648, + 928759634, + 814474209, + 915202002, + -1, + 560959058, + 874593798, + -1, + -1, + 398391213, + 927392913, + 458421017, + -1, + -1, + 893257531, + -1, + -1, + 101687530, + 208435468, + -1, + 458386657, + 333618869, + 768671206, + 608702995, + 805811107, + -1, + 475398332, + 897127840, + -1, + 930120265, + 476677019, + -1, + -1, + 129146897, + 165451004, + 396568947, + 647067170, + -1, + 175955271, + -1, + 226419550, + 11098964, + -1, + 435702119, + 437408027, + -1, + 582173426, + -1, + -1, + 84992101, + 190192944, + 483164041, + 807947151, + 24927777, + 672492600, + 83768085, + -1, + 426659252, + 770731465, + 493456091, + 906448542, + 200689373, + 121582591, + 346333197, + -1, + -1, + 483851323, + 563988900, + -1, + 31229264, + 994634161, + 401559374, + 701367493, + 357562840, + -1, + 936628609, + 437870782, + 207793315, + 46620313, + 655426747, + 110851129, + -1, + 493560913, + -1, + -1, + 440123973, + 388014998, + -1, + 541630164, + -1, + -1, + 740019548, + 122570901, + -1, + -1, + -1, + 848804566, + 11207748, + 234922267, + 304231397, + 463776663, + 871282513, + 637924084, + 319899888, + 377864792, + 958753501, + -1, + 610409236, + 353247014, + -1, + 679218376, + -1, + -1, + -1, + 692305140, + -1, + 274108247, + 113571382, + 321253738, + -1, + 865674563, + 387049406, + -1, + 472849974, + 432842923, + 380005087, + 123765425, + -1, + -1, + 751714999, + 832852108, + 237601881, + 527262274, + 589920372, + 788614573, + 961604801, + 752989889, + -1, + 884926219, + 842125638, + 190738246, + 294501437, + -1, + 86585942, + 44021182, + 695003940, + 409086355, + -1, + 55252796, + -1, + 455202438, + 806315913, + 528419092, + 388111691, + 411836202, + 558822836, + 907535350, + 952903693, + -1, + 433936859, + 831765997, + -1, + 880366598, + 3670978, + -1, + 809102556, + -1, + -1, + 500889665, + -1, + 422398265, + 542255551, + -1, + -1, + 309238812, + 376040601, + 164797155, + -1, + 739875207, + 848656221, + 242038040, + 759318261, + 438334748, + 427524686, + -1, + -1, + -1, + 823339476, + 516337740, + 355141431, + -1, + 693601059, + -1, + 235762453, + 74235115, + 839210121, + 457638041, + 391173378, + 721199683, + 166874443, + -1, + 914367206, + 854377997, + 897299330, + 503216256, + 904441892, + 27047826, + -1, + 835511257, + 58318363, + 52217012, + 612088879, + 821385969, + 744833586, + 453591695, + 953609446, + -1, + -1, + 865071744, + -1, + 315990102, + 295547652, + -1, + 953088554, + -1, + 542325012, + -1, + 47734741, + 255409615, + 863606780, + 340855344, + 151571994, + 443740469, + 435088962, + 633731865, + 627296843, + 965521272, + 834908330, + 371026321, + 38058704, + 266058490, + 793564374, + -1, + 634999349, + 592786108, + 916192226, + 411618692, + 456187181, + 533554781, + -1, + 950612381, + -1, + 55067838, + 294403384, + 801961440, + 650830314, + 551259776, + 169935008, + 406800627, + 445996327, + -1, + 357697033, + 345817598, + -1, + 666929781, + 702728902, + 42586126, + 987651559, + 333127623, + -1, + 491822775, + -1, + 100480633, + -1, + -1, + -1, + 546673302, + 293832848, + -1, + 958092689, + -1, + 780643759, + 843210641, + 496637219, + 158467054, + 910348229, + 768766645, + 637324143, + -1, + 602874052, + 291593128, + -1, + 137356104, + 188910697, + 17184406, + 880956557, + 862623399, + 919616827, + 166773797, + 385511026, + -1, + -1, + 160340385, + -1, + 614376412, + 923005199, + 934415310, + -1, + 262029531, + 657120340, + 223942509, + 313334310, + 880195161, + 326678013, + 702162658, + 472059064, + 582488598, + 813731444, + -1, + 677402305, + 204950992, + -1, + -1, + 125831264, + 102434420, + 105107741, + -1, + 764182836, + -1, + 993255947, + 378544821, + 752558378, + -1, + 333673666, + 190508626, + -1, + 442024808, + 896430999, + 132223827, + 800662329, + 476510250, + -1, + 700046103, + -1, + 144513133, + 916815648, + 601287768, + -1, + 109607913, + -1, + 380197179, + 135604026, + 219190952, + 580233427, + -1, + 222564218, + 147847371, + -1, + -1, + 342092245, + -1, + 361131422, + -1, + 9453961, + -1, + 931868197, + -1, + 825016978, + 585917112, + -1, + -1, + 705444464, + -1, + 622980527, + 536594254, + 205178443, + 238011272, + 67310196, + 501004753, + 455591137, + -1, + 740974179, + -1, + -1, + 59687071, + -1, + -1, + 235134069, + 114635676, + 9704053, + 971765534, + 808702468, + 133409108, + -1, + 925991907, + 2989891, + -1, + 122249478, + 500794084, + -1, + 148338466, + 970300507, + 996630795, + 626642390, + -1, + -1, + 196094153, + -1, + 972343239, + 309272558, + -1, + 914840914, + -1, + 724544503, + 721470973, + 127263717, + 628358496, + 227798014, + -1, + 795711359, + 880232139, + -1, + 685709726, + 416576270, + -1, + 490917695, + 373727080, + 796404994, + 490165462, + 654307518, + 945375671, + 319140464, + 654776811, + -1, + -1, + 989361785, + -1, + 57476649, + 382244769, + -1, + 344764926, + 259781743, + -1, + 367398686, + 941722495, + -1, + 716859574, + 234469651, + 991793106, + 224766864, + 118168645, + 697735159, + -1, + 880279646, + 455037277, + -1, + 495064242, + 642929095, + 703130434, + 533582480, + 820449271, + -1, + -1, + 745054589, + -1, + 663225412, + 546349331, + 199321124, + 776808195, + 466019295, + -1, + -1, + 75283803, + 620597363, + 268139457, + 143933590, + 574569262, + 383591569, + -1, + -1, + 140990596, + -1, + 303871344, + 73071924, + 477891671, + 599040599, + 514180911, + 540648214, + 757340826, + 457822222, + 916641920, + -1, + 438998698, + 389772880, + 540567007, + -1, + -1, + 283445304, + -1, + 31350554, + 512734607, + 667556319, + 990629409, + -1, + 666368992, + 132099857, + 337962026, + 678721720, + 938509550, + 671742029, + 586086298, + 537703586, + 449069637, + -1, + 27575280, + -1, + 694201484, + -1, + 573622020, + -1, + 494833899, + 460561791, + 469311324, + -1, + 596754259, + -1, + 661717796, + 511446392, + 794900245, + -1, + -1, + 804143061, + -1, + 910824998, + -1, + -1, + 886998122, + 439068677, + -1, + 97858127, + 802896632, + 229135526, + -1, + 806081098, + 231277377, + 743672677, + -1, + 356359138, + -1, + -1, + 25640635, + -1, + -1, + 495641429, + 207979816, + 295999305, + 686868712, + 577092990, + 250072127, + 267228760, + 45572346, + -1, + 498250251, + 998579393, + 625070163, + -1, + 279481399, + 972575611, + 294346344, + 169920978, + -1, + 967121821, + 28819781, + -1, + 959495720, + -1, + -1, + 147876790, + 145048834, + -1, + -1, + 346781982, + 392672709, + -1, + 683523495, + -1, + 791184756, + 977793725, + 413349376, + 606358224, + 164668658, + 843527024, + -1, + 193890254, + 323879597, + 284717381, + 716210553, + 403817515, + -1, + 672279715, + 65101761, + 121194642, + 29690494, + -1, + -1, + 539453012, + 964324323, + 29647998, + -1, + 858394249, + -1, + 834503372, + 177250962, + 829447994, + 64562512, + -1, + 366818781, + 676802583, + -1, + 4737873, + -1, + -1, + 78090620, + 57504370, + 469037749, + 820542158, + -1, + 753326015, + 985191799, + 163525387, + -1, + -1, + -1, + 169153097, + 811594922, + -1, + 148612155, + 984085392, + 400126111, + -1, + -1, + 605956914, + -1, + 761520496, + 137929640, + -1, + -1, + -1, + -1, + 628671395, + 480236894, + 254109017, + 576055803, + 811072420, + 467211175, + 290778738, + 141844261, + 831529847, + 868981200, + 787001369, + 956226790, + 3758713, + 211882015, + -1, + 880837991, + 845932499, + 290365747, + 126484501, + -1, + 250307462, + 623579221, + 72922952, + 15602352, + -1, + -1, + 93888011, + 646201005, + 915930487, + 968534198, + -1, + 860515664, + 681167266, + 88266, + 578797582, + 226187891, + 242760027, + 400319294, + 169038088, + 580785124, + 855151960, + -1, + 571263556, + 774686946, + 798004459, + 474855895, + 630921952, + 739364897, + -1, + 713441057, + 52359144, + 459899972, + 980096114, + -1, + -1, + -1, + 852056660, + 707055708, + 18845597, + 320046408, + 355418975, + 264685792, + 779092012, + -1, + 178298431, + -1, + 120702590, + 990327125, + 253033357, + 610655631, + -1, + -1, + 227326685, + 222936118, + 461362301, + 113908893, + 381924336, + 484472695, + -1, + 748907971, + 924016598, + 925592953, + 315910201, + 752206530, + 778858058, + 615855717, + 750378192, + 970247308, + 578955659, + -1, + -1, + -1, + -1, + 871077020, + -1, + 414250035, + 509049104, + -1, + -1, + 302923142, + 717987169, + 979046762, + -1, + 586084084, + 607095568, + 468772584, + 566969926, + 407315197, + 897303833, + -1, + 991413254, + 115743323, + 400661033, + 998149142, + 603808028, + 279189100, + 379871662, + 793871735, + -1, + 113355550, + 469989338, + -1, + -1, + 789959932, + 693850248, + -1, + -1, + 749563834, + 231642185, + -1, + -1, + -1, + 536750198, + 181510227, + 176400034, + 680423055, + 530140474, + 993839762, + 102713359, + 469285172, + -1, + 186915161, + 202981632, + 430246785, + -1, + 310057339, + -1, + 935863509, + 854197637, + 464418417, + 697264420, + 641034441, + -1, + 374815906, + -1, + 343405623, + 371953520, + 323228250, + -1, + 858891023, + 541571692, + 733590368, + 275847378, + 155064154, + 124787371, + 232380033, + 256921278, + 483130036, + -1, + -1, + 866874354, + 498635728, + -1, + 170232091, + 356122099, + 878238051, + -1, + 581539551, + 737206395, + -1, + 692051011, + 784409173, + -1, + 501169664, + 556158014, + 421401222, + 255383217, + 180512533, + 578711164, + -1, + 369318659, + 958762774, + 200600885, + 492416022, + 828033653, + 162500412, + 705761367, + 850702690, + -1, + 505998835, + -1, + 465824670, + -1, + -1, + 526240200, + 876229630, + 43750170, + -1, + 603073034, + 313743283, + -1, + 396931625, + -1, + 990790220, + 805346157, + 450834523, + 173437140, + -1, + 743967014, + -1, + 704542532, + -1, + -1, + 20344090, + 631672984, + -1, + -1, + -1, + 640688335, + -1, + -1, + -1, + -1, + 94117043, + -1, + 298257619, + 861237508, + -1, + 813201212, + 513269101, + -1, + -1, + 988238940, + 205249836, + 716367760, + 79558919, + -1, + 538898623, + -1, + 778005676, + 518481368, + 350072891, + 900448677, + 751807687, + 877057321, + -1, + 935991315, + 278044303, + 428476479, + 235726691, + 440878515, + 538728564, + -1, + -1, + 2094075, + 175655611, + -1, + 94730016, + 669338048, + 329575327, + 977606473, + 182411522, + 113060040, + 793774534, + 46701046, + 881214793, + -1, + 446024243, + 512735496, + 506981757, + -1, + -1, + -1, + 488285004, + 445853963, + 474296791, + 419259014, + 296933802, + 864678555, + 38456791, + -1, + 270161749, + 221285049, + 777387225, + -1, + 949078524, + 452478401, + -1, + 853531800, + -1, + 75230130, + 189284748, + 652761356, + 302791900, + 997652434, + 936508077, + 255519119, + 708456131, + 793645796, + 679623130, + 784885338, + 567830386, + 836715834, + 106379034, + 348397336, + -1, + -1, + 940352371, + -1, + -1, + 355832344, + 104753354, + -1, + 473037577, + 552406060, + 229885065, + -1, + 928608678, + 918848442, + 757788967, + -1, + 254957628, + 498950557, + 568422776, + 332108148, + 993682358, + 353543804, + 41616693, + -1, + 246261874, + 258762069, + 833759012, + 258343110, + 455730287, + 102254719, + 899238528, + -1, + -1, + 313676640, + 568570368, + 701438201, + -1, + 89899222, + 995138977, + -1, + -1, + 377615860, + -1, + 510481062, + 112668770, + -1, + 405730371, + 367070698, + 567957370, + 1698413, + 954232937, + 295714336, + 883768372, + 633074325, + -1, + 967145691, + 887238160, + 840968053, + 205628630, + 58612454, + -1, + 486717847, + 963328917, + 783409018, + 501164026, + -1, + 152730912, + 83860612, + -1, + 448344046, + -1, + 165583062, + 308463277, + 207888591, + -1, + 874786543, + 854202115, + 506960179, + 84857643, + 642942859, + 932577890, + -1, + -1, + -1, + 836542274, + 244429980, + 795106912, + 910923849, + -1, + 467982286, + 732018061, + 407211475, + 908007593, + 540030402, + -1, + -1, + 27340431, + 803565160, + -1, + -1, + -1, + 228004702, + -1, + 683558407, + -1, + 396714908, + 29294947, + 542587863, + 45885735, + 251992391, + 188303350, + 975773687, + 529698903, + 275138220, + -1, + -1, + 434129971, + 146770464, + 485087617, + -1, + 404291867, + 650793963, + 38903234, + -1, + 699991056, + -1, + 495950214, + 578779648, + 170895592, + 457929579, + -1, + 405374749, + 633120934, + 113590022, + 916381641, + -1, + -1, + 2693767, + -1, + 506944397, + 208584259, + 46952346, + -1, + 706792999, + 545136141, + -1, + 866782805, + 997951643, + 765324470, + -1, + 357545646, + -1, + 948616936, + 386134733, + 150367359, + 751005119, + -1, + 584033056, + 878814607, + 205068853, + 823251834, + -1, + 460727826, + 935479328, + 82955536, + 523287615, + -1, + 554422987, + 683685538, + 779614394, + -1, + 11956757, + 82906143, + 443681530, + 867457499, + -1, + 968326934, + 720287056, + 716056732, + 153769140, + 881365931, + 35153299, + -1, + -1, + -1, + 665902325, + -1, + 126225824, + 621669836, + 840037964, + 295110746, + 633536818, + 568363340, + 889776983, + -1, + 850117135, + -1, + 57949462, + -1, + -1, + -1, + 502137800, + 97706734, + 144955332, + 549008265, + 742593217, + -1, + -1, + 78663224, + -1, + 400355104, + 520636779, + 540602215, + -1, + -1, + 508558959, + 172676218, + 687063665, + 616442222, + 488033315, + 805732768, + 972636040, + 371559858, + 390660358, + 595473298, + -1, + -1, + 776168903, + -1, + 492054551, + -1, + 645594684, + -1, + -1, + -1, + 549829365, + 155127187, + 169577759, + 810473055, + 347384976, + 223894844, + -1, + 891270516, + 412770564, + 227924670, + 579544465, + 329655802, + 701345956, + 52254290, + -1, + 664060213, + -1, + 486838249, + 397136343, + -1, + 518142604, + 295969665, + 94613518, + 832559533, + -1, + 902596633, + -1, + 26215279, + 159300896, + 321773960, + 922853870, + 7479397, + 806424271, + 802891624, + 597566379, + -1, + 872876709, + 952406796, + 916684062, + -1, + 520845741, + 584718625, + 410390843, + -1, + 779265998, + 921776083, + 511579045, + -1, + 152153811, + 607287262, + -1, + 531660493, + 8699504, + 911274054, + -1, + 331277718, + -1, + -1, + -1, + 15068048, + 846407139, + -1, + 785797668, + 227997011, + 65495105, + 842508304, + 964740426, + -1, + -1, + 889240010, + -1, + -1, + 672981042, + -1, + -1, + -1, + 706684214, + 703007795, + 570594621, + -1, + 332062876, + 619012240, + 938104087, + 405948802, + 775280111, + 801345189, + 707869959, + 843381984, + -1, + 837202105, + 819419249, + 673749481, + 991574095, + 316705879, + 928282733, + -1, + 699234863, + 21403237, + 317076802, + -1, + -1, + 913891167, + 298622352, + 549913596, + -1, + 822351723, + 516732835, + 926492175, + 93682104, + 460776474, + 620161656, + 993847487, + 997450600, + -1, + 26241534, + -1, + 682922847, + 374210028, + -1, + 292096790, + 917054755, + -1, + 640889091, + 386252020, + 179718582, + -1, + 114579153, + -1, + 968305862, + -1, + 700099841, + 270983865, + 539211628, + -1, + 518121114, + 288747614, + 319159459, + 731417718, + 150608752, + -1, + 97677771, + -1, + 690307992, + -1, + -1, + -1, + 804631210, + 422098905, + 197409611, + 81348189, + -1, + 321234387, + 625209119, + 465955647, + -1, + 211382884, + -1, + 325333251, + -1, + -1, + -1, + 104585025, + 860966071, + 602987448, + 789982090, + 409997632, + -1, + 618460102, + 741154980, + -1, + 290376054, + 972773110, + -1, + 945559991, + 535494114, + -1, + -1, + 124084144, + -1, + 432825030, + -1, + 263463925, + 657779819, + 757668209, + 119282312, + 72269619, + 152283005, + -1, + 227025109, + 419560606, + -1, + 985631877, + 61524043, + 47743049, + 809804860, + 112895780, + 750121408, + -1, + -1, + -1, + 580060123, + 296486916, + -1, + 804313538, + 666114629, + 804510159, + 997157271, + 752831967, + 765754657, + -1, + 889520562, + 587731445, + 686571653, + -1, + -1, + -1, + 506645365, + 169030465, + 949782543, + -1, + 580629210, + 687528432, + -1, + -1, + 238827347, + -1, + 300425355, + -1, + 32422302, + 46361192, + 162650571, + -1, + 950333135, + 54066643, + 24121244, + -1, + 623161769, + 178854846, + 963660724, + -1, + 153397891, + 11475900, + -1, + -1, + 705430799, + 937459857, + -1, + 727815995, + -1, + 237253063, + 857930873, + 869663124, + 554078296, + 911518632, + -1, + 50472621, + 294805414, + 15614368, + 187116358, + -1, + 224931428, + 698726534, + 357529508, + -1, + 202187284, + 870131540, + -1, + 473681901, + -1, + -1, + 600103112, + 457207888, + -1, + 133605433, + -1, + 352089217, + 828999844, + 779884845, + 174091360, + -1, + 165339043, + 660643430, + 668724072, + 253031546, + 125385285, + -1, + 72849961, + 534270614, + 570951157, + -1, + 433600250, + 784505723, + -1, + 414908061, + 146569264, + 556676285, + -1, + 156492610, + 156731555, + 187466207, + 825438298, + -1, + 54756990, + 821215142, + 903710708, + 327059112, + 236636563, + -1, + 237932215, + -1, + 286544201, + 375178331, + 961376374, + 997082529, + 372977885, + 790015175, + 607974990, + 494643279, + -1, + 134908481, + 944391901, + 958996221, + -1, + 378687510, + 71133740, + 480965695, + 860772052, + -1, + 399004824, + -1, + 187753138, + -1, + 445032210, + 833409791, + 245844334, + 889864685, + 411608582, + 561798863, + 238073446, + -1, + 781827649, + 257909618, + 437539830, + -1, + -1, + 746373895, + -1, + 384314748, + 160273553, + 215793583, + 357501687, + -1, + 294793617, + -1, + 216663956, + 931461315, + 77161484, + 301957898, + 975897048, + -1, + 64155356, + -1, + -1, + 175354535, + 296626804, + -1, + 109343907, + -1, + -1, + 218084977, + -1, + -1, + 934074031, + 465047284, + 958184742, + 455982935, + 100237925, + 864586176, + -1, + -1, + 196029267, + 794580786, + 690025616, + 389213372, + -1, + 288019566, + 947689005, + 129387616, + 647963254, + 168438375, + 815397243, + 757450385, + 780289890, + 804388871, + 632752226, + 318973188, + 586365178, + -1, + -1, + -1, + 880488290, + 998333096, + 657823731, + -1, + 696253117, + -1, + 642571116, + 629452788, + 237751458, + 89094462, + -1, + 792508027, + 807318223, + 332551522, + 180830171, + 245629505, + 795285910, + 628771210, + -1, + -1, + 440784134, + 461280810, + -1, + 333479473, + -1, + 598376916, + -1, + 890775729, + 327314152, + -1, + -1, + 288924796, + -1, + -1, + -1, + -1, + 728690719, + 986766874, + 52368488, + -1, + 477232296, + -1, + 959454583, + -1, + 609645163, + 868363053, + 524469629, + 923531569, + -1, + 127367109, + 396875613, + 543840748, + -1, + -1, + 606047345, + 906016812, + 909007036, + 970632940, + 381189479, + 48007905, + 113550564, + 446195708, + 305563734, + 379329280, + 846725481, + 159426652, + 856388711, + -1, + 261691031, + -1, + 605906158, + 761250298, + 847521485, + -1, + 87860248, + -1, + 893264476, + -1, + 136372694, + 424973312, + 902436701, + 363703372, + -1, + 498266095, + 14833498, + 172541837, + 246622741, + 861241397, + 918101369, + 68905550, + 841987636, + 453423630, + 18230945, + -1, + 698669703, + 523421740, + -1, + 222445001, + -1, + 795251317, + -1, + -1, + 999066030, + -1, + -1, + 918366629, + 793225756, + -1, + 849266426, + 837275596, + 958057519, + 897045606, + 240225053, + 702446772, + -1, + -1, + 468853530, + 937382026, + 751411391, + 242111574, + 728191414, + 866143958, + 196045061, + -1, + -1, + 677569563, + 981537201, + 90248876, + -1, + -1, + -1, + 362673635, + 78638371, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 194420523, + 592288465, + 307973950, + -1, + -1, + 17721186, + 160019792, + -1, + 752481768, + 495804053, + 510040774, + -1, + -1, + 962716434, + 14944776, + -1, + 241425150, + 851160578, + 808245605, + -1, + 177401912, + -1, + -1, + 184474256, + -1, + -1, + 924725862, + 98881606, + 690750571, + 611730260, + 67988951, + 254566898, + 876472144, + -1, + 699215112, + -1, + 429186711, + 903223053, + -1, + 710508663, + 621750321, + -1, + 588743045, + 930701741, + 4160578, + -1, + 440992287, + 649287390, + -1, + 98023531, + 602850205, + 210704047, + -1, + 538546892, + -1, + -1, + 772866668, + 560604647, + -1, + 758875807, + 465376243, + 704876222, + -1, + -1, + 727242993, + -1, + -1, + 350579001, + 453328207, + -1, + 174303789, + 743191912, + 818606714, + -1, + 380723801, + 838404937, + 228725120, + 119656769, + -1, + 602725065, + 537301019, + 581654328, + 546210825, + -1, + 828938964, + -1, + 38833055, + 421273101, + -1, + 463910768, + -1, + -1, + -1, + 931687372, + 597693499, + -1, + -1, + 801101084, + -1, + -1, + -1, + 595556122, + 400832682, + -1, + 509995175, + -1, + 418523075, + -1, + 581687948, + -1, + 602517441, + 257685275, + 793758602, + -1, + 315793833, + 19712870, + 439209286, + 514204338, + 96414776, + -1, + 563451909, + -1, + 732196826, + -1, + 608735906, + -1, + 179132544, + 966656191, + 610552313, + -1, + 460677032, + 554817840, + 836353159, + 92181075, + -1, + -1, + 976132311, + 906056466, + -1, + -1, + 748269372, + -1, + 909375849, + -1, + 27729290, + 997535618, + 644152176, + 788454691, + 450217128, + 679263217, + -1, + 615128179, + 881999005, + 65658005, + -1, + 920587061, + 579318488, + -1, + 163423247, + 125392793, + -1, + 529763991, + 395101513, + -1, + 980157436, + -1, + -1, + 726244795, + 241394230, + -1, + 790586782, + 988236844, + -1, + -1, + 261818780, + 622973296, + 118474360, + -1, + 443072837, + 94518468, + 675308679, + 479050138, + 380566564, + 325634827, + 374490769, + 351366620, + 27895556, + 313951617, + 672996321, + -1, + -1, + 546828929, + 110121201, + -1, + 536525199, + 417250419, + 226655786, + -1, + -1, + -1, + 17566920, + 95871141, + -1, + 489471623, + -1, + 833608667, + 436599791, + 800965961, + 642723933, + 114067795, + -1, + -1, + 556456816, + -1, + 146522015, + -1, + -1, + 593753268, + -1, + -1, + 383565948, + -1, + 584937305, + -1, + -1, + 956147697, + -1, + 871776705, + -1, + 736334443, + 78891033, + 827276689, + -1, + 326293786, + 238996853, + 194545004, + 605576571, + -1, + 429398981, + -1, + -1, + 136130477, + -1, + 147479934, + 155447165, + 831213090, + 404365694, + 675173158, + -1, + -1, + -1, + -1, + 42519339, + -1, + 377382811, + 819078137, + 292288347, + 427734081, + 322401295, + 578686583, + 534664391, + 577380738, + 843393560, + -1, + -1, + 815027375, + 930360303, + 589047417, + 968524945, + -1, + -1, + 817510451, + 708009550, + -1, + 878162462, + 677449499, + 281650457, + 491292778, + 398328403, + 119238509, + -1, + 181281789, + 968901270, + 900838542, + 351856476, + 420267830, + 715781807, + 139846852, + -1, + -1, + 427383792, + -1, + 819001098, + 567162487, + -1, + 325651383, + 712939087, + 984152582, + 605702477, + 324202721, + -1, + 409982877, + 400259194, + -1, + 792342672, + 487034470, + 262805479, + -1, + -1, + 573747027, + 219076179, + 849176751, + -1, + 320768680, + 303857653, + -1, + 647750909, + -1, + 800787296, + -1, + -1, + 323225337, + -1, + -1, + 599408568, + -1, + 894184962, + 524449945, + 295958262, + 481162535, + 426567173, + 71007738, + -1, + -1, + 79005541, + 65946004, + 529039309, + 710977297, + 989207231, + 33661041, + -1, + 500829210, + 55781587, + 317219535, + 168284623, + 134899626, + 426284728, + 479202931, + 284806905, + -1, + -1, + 733736227, + 28625829, + 313965011, + 826857363, + 191894443, + 589396729, + -1, + -1, + -1, + 568563348, + 709322205, + 335108156, + 838190188, + 351821275, + 388280660, + -1, + 426477631, + -1, + 176606263, + 714671272, + 512372826, + 56925931, + 36126467, + -1, + 821495799, + 1813332, + 248128174, + 824242451, + 888529546, + -1, + -1, + 243526457, + 939265772, + 850398077, + 841720937, + 410348938, + 893735799, + 883395875, + 362647478, + 405267006, + 53741752, + 159423448, + 802949603, + 580423017, + -1, + 825255636, + 252393559, + 420617610, + 459135498, + 350893194, + 551095832, + 837862132, + 485461137, + 944635577, + 364712565, + 346191471, + 186179927, + 957882451, + 104083843, + 351492919, + 522281037, + 228341871, + 268786705, + -1, + 747490985, + 590186335, + 461298979, + 1279428, + 224409927, + 604711602, + 292792577, + 313829091, + -1, + 799805219, + -1, + -1, + 950825668, + 244729347, + 385644099, + 7379688, + 546265430, + -1, + 518059143, + -1, + 221414253, + 221923316, + -1, + -1, + -1, + 153239808, + 476079883, + 278898495, + 489749955, + -1, + 673804592, + 285142849, + 209610510, + 480590691, + 314228818, + 147496989, + -1, + 854375943, + -1, + 734496835, + 928401982, + 825859697, + -1, + -1, + 575023456, + 831844802, + -1, + -1, + 914123759, + 822418569, + 873714445, + 534240508, + -1, + 537324236, + 1435717, + -1, + 452211329, + 599666100, + -1, + 953858298, + 19531994, + 344770601, + -1, + -1, + 577007739, + 129933650, + -1, + -1, + -1, + 30621937, + 808792792, + 487007405, + 793378283, + 999345518, + 801905151, + 213847657, + 539285537, + -1, + 854347338, + -1, + 753483655, + -1, + 497686867, + -1, + 210639374, + 300616145, + 956926527, + -1, + 175172420, + -1, + -1, + 21222697, + 743077201, + 180803002, + -1, + 588228465, + 522065052, + 235992294, + 235080442, + 374650553, + 985415346, + 519565364, + -1, + 461322586, + 512619448, + 147250421, + -1, + 534249011, + 324541593, + -1, + 557194902, + -1, + 462598295, + 858739081, + 113975319, + 201904670, + 78280266, + 883236153, + 861160565, + 457695252, + -1, + 996892082, + -1, + 640577304, + 750654646, + 513897337, + 72438245, + 960143831, + 915826080, + 243348706, + 157005038, + 730097998, + -1, + 896644389, + 75009709, + 724415954, + 701565825, + 430794830, + 854860628, + 90477810, + -1, + 725126208, + -1, + 758607809, + -1, + 911878307, + 52710269, + 2983027, + 954173527, + 19497803, + 464023173, + -1, + 111291644, + -1, + -1, + 568184482, + -1, + 883590791, + 911729915, + 831669685, + -1, + -1, + 362374720, + 933767058, + -1, + 328967750, + -1, + -1, + 148049345, + -1, + 367644174, + 82420093, + 833303580, + -1, + 631850274, + 785506801, + 317681776, + 524683519, + 135987665, + 870731057, + -1, + 28563998, + 828478003, + 417751267, + 226175816, + -1, + -1, + 579839117, + -1, + 479844030, + 322368924, + -1, + -1, + -1, + -1, + 72825822, + 772859126, + -1, + -1, + 163870857, + 781384683, + 901882771, + 210564016, + -1, + -1, + 881887604, + 678929941, + -1, + -1, + 840131077, + 210662352, + 163887179, + 930063655, + 206716962, + 204667267, + 938845328, + 895192275, + 618404477, + 937977288, + 558066212, + 393940107, + 991292462, + -1, + 188900267, + -1, + 855484489, + 205302043, + -1, + 627828355, + 462861447, + 173521931, + 461061220, + 992507458, + -1, + -1, + -1, + 271047617, + 188599909, + 848203564, + 143139367, + 201019057, + 81676124, + 843072567, + 936855817, + 813059303, + 677252910, + 150541274, + -1, + 379525990, + 978665360, + 545047266, + 956898829, + -1, + 711126790, + -1, + -1, + 240641923, + 513624315, + 837335701, + -1, + 5477462, + 721805867, + -1, + -1, + 442765006, + 810494822, + -1, + -1, + -1, + 799552861, + -1, + 677708757, + 736010885, + 642678461, + 588300385, + 994973655, + 739913515, + 456812644, + -1, + 346651916, + 140198747, + 175348963, + 135173879, + 953554771, + -1, + -1, + -1, + 860720599, + 147240334, + 673760677, + 352879136, + 306829760, + 355713586, + 413274222, + 62479266, + 740534795, + 945642392, + 829453226, + -1, + 944326359, + 612201524, + 677775138, + -1, + -1, + -1, + 368211962, + 404939630, + 414715255, + -1, + 995875428, + -1, + -1, + 596040786, + 951535634, + -1, + -1, + 283817181, + 304441933, + 478113231, + 985408401, + 816721565, + 750808634, + 719854898, + 612543168, + -1, + 277469836, + -1, + -1, + -1, + 299013633, + 421406266, + -1, + 682815789, + 562548044, + -1, + 158799366, + 137099034, + 338745927, + -1, + -1, + 790606852, + 211366720, + 367104880, + 485804968, + 833175403, + -1, + 452416376, + -1, + 237830999, + 192069570, + 858204915, + -1, + 640364894, + 958988884, + 556933141, + -1, + 597333206, + -1, + 647130770, + 76318770, + 821163943, + 317675461, + 470159868, + 118682575, + 536244877, + 596419880, + -1, + 170010200, + -1, + -1, + 744961853, + 310736252, + 207446601, + 399219485, + 569396301, + 638014121, + 730994021, + 931596188, + -1, + -1, + 558584894, + 915446641, + 770325534, + 435729909, + -1, + -1, + 409182200, + 100273966, + 802416737, + -1, + 478655521, + -1, + 849971887, + 462293647, + 962967547, + 720823937, + 463860222, + 206773170, + -1, + -1, + 8403597, + 628961408, + 925806034, + -1, + 694746226, + -1, + -1, + 552841109, + 402302508, + 435624996, + 309093634, + -1, + 985310905, + 44535207, + 233606476, + 899789097, + -1, + 266457431, + -1, + 731683, + 344402436, + 104928585, + 147317531, + 568790071, + 163305712, + -1, + 906971429, + 354484949, + 179618346, + 711491915, + 299040611, + 791332647, + 806560148, + -1, + -1, + -1, + 725947689, + 120503206, + 31828548, + -1, + -1, + 613124746, + 98641444, + 361572829, + 632963927, + 313135206, + 271261748, + 702158637, + 510720141, + 545401517, + -1, + 436654664, + 850188667, + 429882731, + 777155469, + -1, + -1, + 387209901, + 647957918, + -1, + -1, + -1, + 112572607, + -1, + 759551091, + -1, + 63274436, + 48664477, + -1, + 149641549, + 965604184, + -1, + -1, + -1, + 120747893, + 801040628, + -1, + 801226079, + 711294372, + 438360644, + -1, + 570937205, + -1, + -1, + 844349190, + 83715702, + -1, + -1, + 766219182, + 250008577, + 935155578, + -1, + 910959072, + 816301501, + 31659750, + -1, + 556641807, + 290116782, + -1, + 536914772, + 189860415, + -1, + -1, + 640976663, + 751429576, + 806825508, + 402289999, + 728137338, + 523351113, + 434603528, + -1, + 393615848, + 991665258, + -1, + 809647440, + 388055593, + 502329492, + 551179693, + 406610923, + 156135925, + 961773776, + 491772194, + 946588099, + -1, + 756760884, + 710104423, + 781445836, + -1, + 669275570, + -1, + 247663903, + 207196541, + -1, + -1, + -1, + 676007068, + 843430063, + 172694718, + -1, + 701027968, + -1, + 937711285, + 448271164, + 903731126, + 989965255, + 498820209, + 446244367, + 297269498, + 598848588, + 302519609, + 838528099, + 491703265, + 674165750, + -1, + 679726460, + -1, + 970830537, + -1, + 652563513, + 399772948, + 732476754, + 166885009, + 937693074, + -1, + -1, + 25906737, + -1, + 957134237, + 748631102, + -1, + 247887749, + 367092074, + 423197977, + 964131529, + 794898498, + -1, + 421980530, + 23029317, + -1, + -1, + 214817233, + 602698923, + 475621473, + 826451500, + -1, + -1, + 906032967, + 729631795, + -1, + 408948262, + -1, + 879041616, + 469530620, + -1, + 822493795, + -1, + 604182922, + 535207062, + 796553904, + 158739298, + 740316628, + -1, + 660140782, + 839872661, + 269685341, + -1, + 64043628, + 74381253, + 543375687, + 713077233, + 839805324, + 611151724, + 34101134, + -1, + 404986402, + -1, + 645166328, + -1, + 360356192, + 416264109, + 296686473, + 293579783, + 363686439, + 619711447, + 764418044, + 59955035, + 282669066, + -1, + 642493198, + -1, + -1, + 18514952, + -1, + 423982428, + 784223467, + 690332246, + 682740496, + 944715994, + -1, + 356842540, + 438462817, + 872290587, + 344175866, + 190067, + 532997580, + 805486187, + 21445170, + 519106399, + 525307914, + 199626980, + 299543403, + 455190274, + -1, + 845030871, + 402544562, + -1, + 133535027, + -1, + 215727807, + 874399811, + 3414183, + 714309111, + 304258776, + -1, + 549452542, + 797390193, + -1, + -1, + -1, + 570946708, + 917001630, + -1, + 305244306, + 589458985, + 884731568, + -1, + 929749403, + 885852871, + 627071303, + 539452943, + 909462730, + 450821721, + 958387125, + -1, + 639985937, + 789969897, + -1, + -1, + 245758280, + 708414988, + -1, + 958958064, + 492260964, + -1, + 360238004, + -1, + -1, + 611666163, + -1, + 209774846, + -1, + 918399054, + -1, + 406177185, + 208627566, + -1, + 979646885, + 192096742, + -1, + -1, + -1, + -1, + 737406984, + 459149475, + 98572068, + 499342006, + 806235908, + -1, + 923623573, + 558849922, + 268500928, + 557114192, + 374635697, + -1, + 111076467, + 691535281, + 475012231, + 994419617, + 275361659, + -1, + 580139973, + 83368428, + -1, + -1, + 904248241, + -1, + 84161293, + -1, + 136372101, + 943955526, + -1, + 678892543, + -1, + -1, + -1, + 680409161, + 267478467, + 252213164, + 776014000, + -1, + 840969960, + 562165278, + 106476543, + -1, + -1, + 153401456, + 830064274, + 541708257, + -1, + 677350455, + 8277727, + -1, + -1, + 273513787, + -1, + 974877351, + 168325538, + 647889455, + -1, + 943014675, + 692819906, + 978911924, + 980782957, + 706920313, + 914888368, + 571102614, + 499578760, + 787056340, + 371036549, + 735690562, + 995801887, + -1, + 520286858, + 535159494, + 818221457, + 835579561, + -1, + -1, + -1, + 872112651, + 686079689, + 42277127, + 253870070, + 945330865, + 556131506, + 851032278, + 157311211, + 577390956, + -1, + 562293746, + 108046737, + -1, + 803201612, + 481958102, + 729137934, + -1, + 700534787, + 227988311, + -1, + -1, + 776144734, + 943916281, + -1, + -1, + 635758969, + -1, + 979409895, + -1, + -1, + -1, + 829770347, + -1, + 153680062, + -1, + 206548005, + 319053344, + 122118652, + 732249740, + 208435242, + -1, + 698553131, + 222645287, + 828822911, + -1, + 24543220, + -1, + 151804474, + 350006028, + -1, + -1, + 875378809, + 862414933, + 993236549, + 918880784, + 349966988, + -1, + 179359650, + 416343590, + -1, + 677321660, + -1, + 470459691, + 603517708, + 42056436, + -1, + 924371790, + 758783095, + 760502807, + 237223731, + -1, + 231648352, + -1, + -1, + -1, + -1, + 130603494, + -1, + 534871030, + 886974011, + 519703165, + 498530929, + 588738923, + 377197337, + 323559729, + 86060691, + 575293161, + 396042824, + -1, + 573414679, + 51368549, + 635979406, + 633423423, + -1, + 101185047, + 56655399, + -1, + 448487599, + -1, + 693424550, + 984290794, + 802943106, + 169000656, + -1, + 875290613, + 196338620, + 676372130, + -1, + -1, + 707682010, + -1, + -1, + -1, + 887625208, + 116669835, + 423711729, + 422061227, + -1, + 939646270, + 268371129, + 187327332, + -1, + 303396090, + 137113333, + -1, + -1, + -1, + -1, + 213763748, + -1, + 98318217, + -1, + 41043424, + -1, + 727813739, + -1, + 722666773, + 946035176, + 780667565, + 231712857, + -1, + 404460043, + 860020705, + -1, + -1, + -1, + -1, + 162788233, + -1, + 274258439, + 166394028, + 513141284, + 553335855, + 832997464, + -1, + -1, + 959801226, + 495918350, + -1, + -1, + 167526543, + 711504869, + 750882092, + 732341390, + 853137049, + 768107926, + 260231041, + 272352491, + 646943071, + -1, + 139701061, + 271245153, + -1, + 664318506, + -1, + 178528369, + -1, + 490577230, + -1, + 54122621, + 535244459, + -1, + 452328479, + -1, + 649816217, + 474004843, + 754256975, + 561427363, + -1, + 407972045, + -1, + 824787330, + -1, + 136078881, + 393437832, + 6837456, + 929116159, + 729178038, + 49496012, + 411916738, + 235282634, + 723750200, + 753269448, + -1, + 604238019, + 700534372, + -1, + 14996195, + -1, + 473495392, + -1, + 164940239, + -1, + 287948041, + 336795259, + -1, + -1, + -1, + -1, + -1, + 394592578, + 762584183, + 555019227, + 942240669, + 387325380, + 885765233, + 535248533, + 760012569, + -1, + 119213974, + -1, + 147304533, + 699536350, + 942247379, + -1, + 708687189, + 947647264, + 51381192, + -1, + 365729790, + 225842683, + 658056327, + 376998587, + 566133279, + -1, + 944474873, + -1, + -1, + 662527590, + -1, + 583983761, + 475884293, + 942570094, + 826999048, + 725613546, + 78950907, + 542633558, + 258116465, + 819129974, + 837860637, + 180915781, + 833456545, + -1, + 983654651, + 218004436, + 918445615, + 391272701, + -1, + -1, + 563286343, + 768160041, + 967955277, + -1, + 495382556, + 180500254, + 738791513, + -1, + 421605637, + 989270014, + 737448285, + 696114839, + -1, + 459193350, + 752694709, + 637816208, + -1, + 388759314, + 50133618, + 894268005, + 98711702, + 9884940, + 916310579, + 923403966, + 763123079, + -1, + 159940552, + 292694306, + 306419323, + -1, + 545628021, + 699720253, + 404556680, + 127117087, + 161786921, + -1, + 60920610, + 700554417, + 86938018, + 612480509, + 794030187, + 707126696, + 218960703, + -1, + -1, + 513061332, + 818464056, + -1, + 125552198, + -1, + 801420708, + 464911505, + 978231576, + 3597267, + 782521659, + 730890744, + 113310528, + 329933531, + 107720309, + 35859320, + 811558294, + 368232175, + -1, + 472331250, + -1, + -1, + 884277003, + 82410892, + 545108750, + -1, + -1, + 553101104, + -1, + 354878074, + 651218064, + 399037076, + -1, + 166180310, + 285113686, + 171113732, + 673649939, + 786312271, + -1, + 852647925, + 77199490, + 237035211, + 20835526, + 254463417, + 345616367, + 683753049, + 985691058, + -1, + -1, + -1, + 946197923, + -1, + 798446497, + -1, + 769752482, + 263785727, + -1, + 357526525, + -1, + -1, + 911165493, + -1, + -1, + -1, + -1, + -1, + -1, + 946729222, + 663759878, + 913235023, + 374153079, + 787265814, + 117809775, + 560833929, + -1, + 401400480, + -1, + -1, + 935523640, + 595495781, + 47920937, + -1, + -1, + 58920545, + 186028846, + -1, + 360516888, + 168921962, + 51285409, + -1, + -1, + 29196581, + 130387560, + 907303690, + 819826241, + 166327912, + 505406093, + 354146789, + -1, + 625120265, + 795090561, + -1, + 303287251, + 979583128, + 745453084, + -1, + 904574207, + 333010876, + 522824056, + -1, + 433678804, + 886521684, + 874990521, + -1, + 843803937, + 930140159, + 653433424, + 890116257, + -1, + 557740846, + 588215077, + 572569219, + 59008192, + 86841859, + 953001661, + 286618161, + 437296757, + 673634145, + -1, + 15451369, + -1, + -1, + 554827973, + 592088195, + 755467858, + 183310219, + 363499068, + 894739986, + 62158010, + -1, + 895558868, + 608945313, + 918160676, + -1, + 606222445, + -1, + 816088963, + 35414932, + -1, + 13109355, + -1, + 820004436, + 584521680, + -1, + -1, + 359978757, + 673866108, + 574678188, + 675676631, + 468128783, + 281597531, + 960453980, + -1, + 476826921, + -1, + 544863776, + 337878387, + 642583139, + -1, + -1, + 319475460, + -1, + 422929375, + -1, + -1, + 103460286, + 817704502, + 858311352, + 185238499, + 986277232, + 350355078, + 51144664, + -1, + 256934707, + 675268197, + 804281890, + 488625907, + 25259425, + 502197052, + 108276805, + -1, + -1, + 345297358, + 934047685, + 791061351, + 269153046, + 80345184, + -1, + 367465629, + 938604537, + -1, + -1, + -1, + 673514164, + 117747376, + -1, + 387897516, + 270461181, + 296398115, + -1, + -1, + 351251681, + -1, + -1, + 778971637, + -1, + -1, + 198183885, + 811382077, + 605113091, + 50499207, + 152956197, + 166012998, + 437855583, + 872904284, + -1, + 732167076, + 68211317, + 716353862, + 471496955, + -1, + 113822615, + 847299340, + 861957812, + 358868913, + 352008595, + 718053939, + -1, + 592869455, + 272268904, + -1, + 616841752, + -1, + 264244822, + -1, + 571213559, + 140208713, + 769470769, + -1, + 419706349, + 916584856, + -1, + 28848552, + 427072612, + 942936809, + -1, + -1, + 389318082, + 370075434, + 586196492, + -1, + 322769765, + 402774022, + 146808196, + -1, + -1, + 943546003, + -1, + -1, + -1, + 515599874, + 60796592, + 771101895, + 700963473, + 296426975, + 262841611, + 656966690, + 704584388, + -1, + 279959935, + -1, + -1, + 828626886, + 733106481, + 426706342, + 72025632, + -1, + -1, + -1, + 369043636, + -1, + -1, + 121751964, + -1, + 524450982, + -1, + 80647787, + 460069183, + 830323542, + -1, + -1, + -1, + 352177166, + 75546797, + 788427157, + 117173043, + -1, + -1, + 450560002, + 245953614, + 306108626, + 419399435, + 956864932, + 329776585, + -1, + -1, + 543737605, + 441916236, + 529408170, + 502623525, + 174563535, + 404695777, + -1, + -1, + 66471797, + 894408202, + -1, + 206005641, + 476100220, + -1, + 530090534, + 516144023, + 283002022, + 767334856, + -1, + 828700141, + 384528237, + -1, + -1, + -1, + 557388066, + -1, + 384552187, + -1, + 25554355, + 487534098, + 562203286, + 484019569, + -1, + 846200235, + -1, + 764904342, + 536965292, + 21578414, + 109574919, + 202244178, + 771413316, + 565908723, + -1, + 694386452, + 189875003, + -1, + 310002187, + 135157037, + -1, + 379922479, + 953435196, + 89965649, + -1, + 19396295, + -1, + -1, + 944068208, + 589827219, + -1, + 51560257, + 805513289, + 168772583, + -1, + 633600231, + 548127681, + 622878580, + 727914270, + 985684673, + 106796134, + 914347647, + 798232993, + -1, + 470272116, + 121634479, + 592229008, + 483744812, + -1, + 831065701, + 449030206, + 911255633, + -1, + 966414444, + 76647402, + -1, + 766840893, + 944531384, + 167881281, + 474843535, + 662708113, + 269387943, + 209223592, + 490430074, + 643627947, + 460193256, + -1, + 484450040, + 827988045, + 780155344, + 1035807, + 890831320, + -1, + 478163478, + 804496856, + -1, + 415694457, + 158260294, + 693466607, + 539909263, + 16917036, + 26162601, + 792206384, + -1, + 211808363, + -1, + -1, + 751415525, + 832721971, + 182716861, + 816641185, + -1, + 410759989, + 695929549, + 609195308, + -1, + 680719363, + -1, + 967687938, + 121982068, + 24585471, + 174353759, + 853962195, + -1, + 449458519, + -1, + -1, + -1, + 829319385, + -1, + -1, + 205119363, + 419002389, + -1, + 865408590, + -1, + 165529938, + 192074996, + 592398877, + -1, + -1, + 648058550, + 706139000, + 455626442, + 642687144, + -1, + 257870871, + 793607362, + -1, + 900025066, + 45201143, + 792371630, + 354892669, + -1, + 822405513, + 260009619, + 432029397, + 966034356, + 318902623, + 906095341, + 438114324, + -1, + 289189456, + 4405411, + 741692207, + 675495380, + 380598371, + -1, + 414064872, + 536856927, + -1, + -1, + -1, + 568032814, + -1, + 140417048, + 859059448, + 978168955, + 578463948, + -1, + -1, + 453841485, + -1, + 547600650, + 517263447, + -1, + 560568958, + 279075837, + 576593840, + 625643135, + -1, + 13253739, + -1, + 598668932, + 447779100, + 909760990, + -1, + -1, + -1, + -1, + -1, + 180166737, + 34037492, + 851919286, + 664612555, + -1, + -1, + 75060289, + -1, + 876564570, + 865809871, + -1, + 919498994, + 74441658, + 47816325, + -1, + 131590056, + 231080176, + 658100928, + -1, + 267146705, + -1, + 199578614, + -1, + 289035329, + -1, + 226059017, + -1, + -1, + 460742084, + 127105572, + -1, + 3440570, + -1, + 924904953, + 106429230, + -1, + 713113758, + -1, + 25865828, + 231335831, + 945067813, + -1, + -1, + -1, + 830938094, + 680007969, + 408293053, + 436159239, + 49708396, + -1, + 870533198, + -1, + 432027438, + 798330375, + -1, + -1, + -1, + 161160850, + 664543866, + 837293295, + 713228604, + 481224287, + 889151504, + 266942393, + -1, + 300438692, + 916812694, + 387013387, + 39306137, + 202418245, + 730988886, + -1, + -1, + 151688211, + -1, + 876517750, + -1, + -1, + 660244550, + 266730550, + 303286653, + 312448449, + -1, + 199778525, + 590136362, + -1, + 548433752, + 473212992, + -1, + 753013525, + 280340127, + 828702528, + 343700115, + 361689910, + -1, + 897733624, + -1, + 15422951, + -1, + 824787328, + 400179654, + -1, + -1, + -1, + -1, + 828804913, + -1, + 494806705, + -1, + 201841362, + -1, + 454392730, + 562387735, + 574622291, + -1, + 356301045, + -1, + 319343294, + -1, + 992620674, + 535679741, + 983788748, + 595996746, + -1, + -1, + 406132128, + 408766539, + 794153630, + -1, + 729061701, + 72494319, + 289505920, + 893376139, + -1, + 556749116, + -1, + 806914318, + 946325803, + -1, + -1, + 924080098, + -1, + 143711669, + 947735898, + 565608171, + 31514260, + 478725891, + -1, + 574207697, + 30684635, + 935483728, + 885233730, + 637067817, + 369417751, + -1, + -1, + 474851329, + -1, + 573935232, + 423006223, + 767951989, + 525495407, + 726264939, + 907450561, + 68428493, + 52472263, + -1, + 623459145, + -1, + -1, + 243375720, + -1, + -1, + 480987552, + 253107080, + 654880839, + 605047057, + 148752976, + -1, + -1, + 178712917, + -1, + 2220822, + 193236016, + 70147935, + 702955480, + -1, + -1, + -1, + 792349091, + 615807992, + 464546431, + 142168932, + 876736680, + 725306293, + 168804549, + -1, + 718757687, + 976608891, + 774995031, + 922360608, + 75069608, + 258713138, + 505673157, + 95856922, + 251355144, + -1, + 766645613, + -1, + -1, + 131597115, + -1, + 274117269, + -1, + 359471049, + 950855356, + 412400380, + 778164892, + 874769286, + 762529745, + 171435685, + -1, + -1, + -1, + 181507489, + 762150291, + 602351842, + -1, + -1, + -1, + 132472493, + -1, + 736743076, + -1, + 370253081, + 137169270, + 273805350, + 352310131, + 330802569, + -1, + 10784991, + 303512358, + 363541669, + 872264989, + 601901516, + -1, + 583185695, + 354538321, + 854385609, + -1, + 465657989, + 985773163, + 15612396, + 866494836, + -1, + 352215454, + -1, + 487835801, + 522319432, + -1, + -1, + -1, + 35022616, + 149183018, + 699985755, + -1, + -1, + -1, + 384284598, + -1, + 459435998, + -1, + 733440030, + 963244101, + 721627178, + -1, + 72352605, + -1, + -1, + 27413501, + 292040048, + 587061931, + 105749426, + 907221253, + -1, + 494186457, + -1, + 242002456, + 232377726, + 680134750, + -1, + -1, + 411952866, + 129842685, + -1, + -1, + 507449948, + 435752422, + 39266794, + -1, + -1, + -1, + 591895274, + 466398687, + -1, + 64717934, + -1, + 229515817, + 453355741, + 770282637, + -1, + 129201809, + 538701582, + 473541487, + 832602658, + -1, + 649902840, + 339212142, + 144828185, + -1, + 920064843, + -1, + 534294580, + -1, + 423047035, + 926370237, + -1, + 376700101, + 33619167, + -1, + -1, + 814844274, + -1, + -1, + 730585492, + -1, + 175761030, + -1, + -1, + 96599601, + 947716588, + 464960392, + 874007115, + 154915754, + -1, + 679109252, + -1, + 282635271, + -1, + 326420285, + 727137372, + 42917999, + 560706494, + 44902020, + 85403606, + 804093985, + -1, + 130907759, + 638241752, + 936697734, + 988143120, + 944266949, + 120965784, + -1, + 69784158, + -1, + 359308489, + -1, + -1, + 788972678, + 429456299, + -1, + 829449007, + 824606784, + 568354462, + 241876795, + 577396053, + 284134726, + -1, + 51640376, + 833297010, + 803597729, + 172971818, + 746458617, + -1, + 211651303, + -1, + 105440686, + 376838728, + 43729322, + -1, + 494529597, + 4224261, + 850764291, + 141670085, + 181571401, + 33669861, + 165634158, + 595077181, + 272472508, + -1, + 904451018, + 231827435, + 828201299, + -1, + 547390368, + -1, + 800850940, + -1, + -1, + -1, + 727249025, + 41889932, + -1, + -1, + 108990483, + -1, + 984069703, + 570712735, + -1, + -1, + 931569695, + 976285611, + 875211676, + 92419727, + 450334726, + 673827179, + -1, + 444243890, + 302056513, + -1, + 560780727, + 41828365, + 37060365, + 633682884, + 389736800, + 446240916, + 888096566, + -1, + 298042128, + 639353962, + 670211035, + -1, + 21437108, + 300891758, + 312376614, + -1, + -1, + 982974408, + 758257301, + 48657587, + 988510603, + 817335633, + 315475029, + -1, + -1, + 593183206, + 785771521, + 616567126, + 317822491, + 76485299, + 804350327, + 882563281, + -1, + 921696329, + 15653185, + 568678491, + 863378076, + 53274029, + 111326416, + -1, + 680211325, + -1, + 84926340, + 149532357, + 756036392, + 231935729, + -1, + -1, + 462786143, + -1, + -1, + 846685348, + 698976812, + 740853651, + 630313234, + 737635247, + -1, + 189569818, + 925530236, + -1, + -1, + 614130411, + 333869598, + -1, + 841400225, + 53333494, + 65878102, + 424865895, + 478800149, + -1, + 360799468, + 16431138, + 878415256, + -1, + -1, + 618755228, + 978558196, + -1, + -1, + -1, + 194118894, + -1, + -1, + 858709447, + -1, + 371731918, + -1, + -1, + 232796599, + 918758038, + 222522870, + 219212106, + 543897828, + 64815772, + -1, + 155391382, + 766521004, + 965630652, + 925305204, + 8545285, + -1, + 379894585, + 39188799, + 584223050, + -1, + 634448577, + -1, + 443876909, + 325691941, + 907776177, + 746330058, + 867122748, + 387062311, + -1, + 766662108, + -1, + 167880983, + -1, + 328372010, + -1, + 729153454, + 785886065, + -1, + 220336566, + 421203051, + 971779090, + 447120780, + 848111234, + 857804637, + -1, + -1, + -1, + 601730640, + -1, + 213708768, + 401411697, + 60698914, + 428076415, + 717143817, + -1, + 487382690, + -1, + -1, + 101351921, + 341466971, + 116132671, + 893306465, + 115520138, + 997212418, + 335002739, + 125063190, + 347076882, + 200666095, + 664469577, + 747574801, + -1, + -1, + 552974290, + -1, + 722500749, + -1, + 676738638, + 467970999, + 121828744, + 4257058, + -1, + 789516300, + -1, + 558404817, + 39813537, + -1, + 254107664, + 926674063, + -1, + -1, + -1, + 847818564, + 45930763, + 239772518, + 746956571, + 486583237, + -1, + 796759765, + -1, + 816051724, + 909988366, + 863270078, + 99254260, + 833032307, + 448635214, + 873629008, + -1, + 794545127, + 687114016, + -1, + 189526527, + 262237161, + 185314422, + 499537478, + 560244065, + 795788560, + 44056666, + 805370923, + 604408427, + -1, + 501360645, + 464066960, + 998816179, + 212782648, + 248518467, + -1, + -1, + 990361168, + -1, + -1, + 847804040, + 61116726, + 631973655, + -1, + -1, + 847194636, + 219969552, + 761634949, + 358417094, + 671749286, + 326635052, + -1, + 778572542, + 914813733, + -1, + 360494451, + 738239465, + 761609118, + -1, + 525490214, + 630977933, + 676612990, + 813820722, + 389632668, + 475637954, + 978492960, + 685008276, + -1, + 736914763, + -1, + 394422041, + -1, + 747841847, + 617373112, + 879547061, + 675278758, + 4590738, + 585584036, + -1, + 9238212, + -1, + 779967947, + 84439724, + 923834532, + 297784039, + -1, + -1, + 943764021, + 650499503, + 867984745, + -1, + -1, + 645619978, + 632946142, + 490244752, + 490178846, + 799783997, + 329443089, + 27478452, + 419857436, + 63772524, + -1, + 935277369, + 143271041, + -1, + 958683376, + 397685040, + 726257776, + -1, + -1, + 917104566, + -1, + -1, + 513075308, + 711259383, + 450148139, + 662500185, + 505317631, + 426263662, + -1, + 883128890, + 767401816, + -1, + 425451380, + 326351460, + 179148486, + -1, + -1, + 997932216, + 932059914, + 220219666, + 19324159, + 512165050, + -1, + -1, + -1, + -1, + 814417651, + 435246890, + -1, + 994273327, + 541479267, + 611027453, + -1, + 371642607, + 332268147, + 906145580, + -1, + 794465129, + -1, + 697746763, + 199363067, + -1, + 368171116, + 744818884, + 996430806, + 210280113, + 503036640, + -1, + -1, + 995006118, + 498865975, + -1, + 112303813, + -1, + -1, + -1, + 737370012, + 910794136, + 105420269, + 563628045, + 641065534, + 805253991, + 912579454, + 186321486, + -1, + 87924679, + 235794305, + 362955561, + 433052472, + 325811934, + -1, + 777234071, + -1, + 384226585, + 261059234, + -1, + 987609823, + 130403505, + -1, + 731846153, + -1, + 952337533, + 766130569, + 522030362, + 344688998, + -1, + 43527921, + 164037051, + 271836869, + -1, + 408215017, + 843597955, + -1, + 409128585, + -1, + 966078702, + 762943302, + 166807196, + -1, + 795917423, + 364944425, + 58297031, + 763425592, + 771035850, + 359324954, + 89397423, + -1, + 655901940, + -1, + -1, + 174726605, + 519154261, + 925894137, + 750367152, + 360964031, + 243308690, + 40218026, + 51800867, + 116063272, + -1, + 218308919, + 561838455, + 292221685, + 38902578, + 948831029, + -1, + 657693838, + 379004565, + -1, + 288686466, + -1, + -1, + -1, + -1, + 666120624, + 419484331, + 699297557, + 33432826, + 560161309, + -1, + 325607250, + 722694148, + 682836139, + 38005806, + 682674920, + -1, + 683053989, + -1, + 315032994, + 839033924, + 574110372, + -1, + 544670654, + 282374473, + 210247034, + 344584347, + 526036134, + 538377194, + -1, + 82485017, + 562558528, + 732160508, + 921083955, + 901648298, + 472797491, + 881786323, + 459162907, + 422869209, + 122294640, + 697413321, + 829077385, + 109816095, + -1, + -1, + -1, + 129216664, + 754596081, + 357056068, + 446466192, + -1, + 902258453, + 879346540, + 555063859, + 713382121, + 995089484, + 348136358, + 983568496, + 901071497, + -1, + 785314085, + 588122336, + 577069918, + 100512824, + 604484905, + -1, + 8313541, + 704204626, + -1, + -1, + 447248432, + 315136284, + 218451163, + 2919567, + 327296802, + 325998765, + 247396260, + 714091942, + -1, + 308596756, + 345843575, + -1, + -1, + 33914370, + -1, + -1, + 508389323, + 518730590, + 251713688, + 374225601, + -1, + 481060082, + 634701616, + 855171957, + 986425191, + 494269018, + -1, + 258333580, + -1, + 406137243, + -1, + -1, + -1, + 155811630, + -1, + 398302929, + 856757949, + -1, + -1, + 90970135, + -1, + 239027365, + -1, + -1, + 64443092, + 271970872, + 509638945, + 806462310, + -1, + -1, + 637508413, + 739584303, + 583369811, + 744033134, + -1, + -1, + -1, + 259191257, + -1, + 355875743, + 897911962, + 938947473, + 731770989, + -1, + 931318714, + 791094105, + 38180219, + 616837922, + -1, + 356424049, + -1, + -1, + 624031448, + -1, + 955946437, + 360134859, + 156497359, + -1, + 585421279, + 306332436, + 429301153, + -1, + 963650618, + 889839754, + -1, + -1, + -1, + 534523299, + 359455632, + -1, + 939439105, + 630961115, + -1, + 950238013, + -1, + 542064915, + 6715722, + 322588925, + 122132194, + 440170429, + 410174895, + -1, + 446928917, + 145585105, + 566187328, + 611695886, + 261731924, + -1, + -1, + 756939910, + 572685566, + 962502126, + -1, + 509147205, + -1, + 279032231, + 999044389, + 288289172, + 198648058, + -1, + -1, + 739170315, + 818644477, + 796811505, + -1, + -1, + 421532284, + -1, + 433084321, + 981349164, + 898594316, + 646957405, + -1, + -1, + 617781580, + 827688353, + 686037483, + 868903301, + -1, + 365938370, + 475828643, + -1, + 366318906, + 567406660, + 399870839, + -1, + 821184602, + 348928990, + 871789619, + -1, + -1, + 675609544, + 734665943, + -1, + 497081944, + 350050789, + -1, + 158502176, + 90572827, + 29880418, + -1, + 36903510, + 199079538, + 181748215, + 192931388, + 586401001, + 285489371, + 523746787, + 867321110, + 615405610, + -1, + 240389241, + 256933951, + 840890184, + -1, + -1, + -1, + 324418870, + 984589395, + 335428504, + 608761944, + -1, + 712395431, + 675649899, + 583845647, + 452953115, + 113728335, + 741524754, + -1, + -1, + -1, + 545236700, + -1, + 731478816, + -1, + 534593110, + 523504314, + 464567471, + 712989300, + 209464520, + 250212024, + 747944993, + 763735257, + 147033469, + -1, + -1, + 415244049, + 115574916, + 222677124, + 603194335, + 460214136, + 793539153, + 241593246, + 494164298, + -1, + -1, + 952380575, + 339584305, + -1, + 184557288, + 330667920, + 212834093, + 456311431, + 677768692, + 307908900, + 4484853, + -1, + -1, + 404815821, + 370865460, + 605809365, + -1, + 447226019, + -1, + 302804852, + -1, + 337279322, + 131172422, + 573320180, + 785556794, + -1, + -1, + 457456159, + -1, + 439001618, + 889549385, + 626956908, + -1, + 338642293, + -1, + -1, + 365986432, + 103657770, + 543044555, + -1, + 477688529, + 729692152, + 70775086, + -1, + 153313025, + -1, + 982041279, + 545946949, + 667044464, + -1, + 290959627, + 745183791, + 235885940, + -1, + 238873827, + 385459572, + 336730597, + 827770237, + 765970101, + 630225057, + -1, + 963605446, + 460559618, + 81458290, + 299604584, + -1, + 686617164, + -1, + -1, + -1, + 250114259, + 54059374, + -1, + 606077443, + 11805713, + 497369913, + 396651819, + -1, + -1, + 530417676, + 374511846, + 591846465, + -1, + -1, + 954326213, + 610846221, + -1, + 668166864, + 273945166, + 827066492, + -1, + 754934048, + 802459302, + 203996212, + -1, + 967559846, + 765562913, + 638834174, + 759048837, + 633989413, + -1, + 11324213, + 343159940, + 86049173, + 170352944, + 866197892, + -1, + 808735485, + -1, + 375485009, + 530785052, + 472631754, + -1, + 46222161, + -1, + 164294228, + 248810106, + 872342147, + 835220295, + -1, + -1, + 751596699, + 602091826, + 785778826, + 589779315, + 162956939, + 367508115, + 773160093, + 301901756, + 406347746, + 10087234, + 765848718, + 768421814, + 589879510, + -1, + -1, + 774630154, + 479002820, + 76099811, + -1, + 19820447, + 64738540, + 863504152, + 410721725, + -1, + 827936258, + 674002091, + 654298334, + 153624075, + -1, + 383264891, + 997817472, + 28350025, + 548229517, + 915012844, + 615420061, + -1, + 744097510, + 207112700, + 176402511, + 851669417, + -1, + 482638344, + 314411399, + 148131874, + 835931388, + 9491989, + 474635635, + 210830311, + -1, + 527750693, + 61380892, + -1, + 858612565, + 139735712, + 294057059, + 10139742, + -1, + -1, + -1, + 97252228, + -1, + 707680679, + 225095514, + 289999656, + -1, + 431019034, + 659234195, + 822704635, + 798197916, + 954748945, + 229637037, + 621011682, + -1, + 374925001, + 872587909, + 260820207, + 599269416, + -1, + 951498489, + -1, + 232544837, + 759096270, + 387583746, + 805494668, + -1, + 508579443, + 218173438, + -1, + -1, + 359327494, + -1, + 920466841, + 167029831, + -1, + 154815678, + 19000326, + 463402297, + 12166281, + -1, + -1, + 703234022, + 808986572, + 643388197, + 526153605, + 913188180, + 682896125, + -1, + 435999003, + 537514143, + -1, + 635468397, + -1, + 636843348, + 564629819, + 675366008, + 585096363, + 756970576, + -1, + 307579434, + -1, + -1, + 560599349, + 570521169, + 615285189, + 177675183, + -1, + 717036291, + -1, + 17187732, + -1, + 790130729, + -1, + 294464128, + -1, + -1, + -1, + 994580453, + 889850383, + 428859592, + 819454875, + -1, + -1, + 603604903, + 847210225, + 563645936, + 352194894, + 279474619, + 26141557, + 920030142, + 318049473, + 124330006, + 968277996, + 528112485, + -1, + -1, + -1, + 244441971, + 792926247, + 187049969, + 82961081, + -1, + 937469942, + 571626521, + 190002758, + 261107175, + 866930757, + 81029921, + 174848046, + -1, + 429198733, + 314239970, + -1, + 380882390, + 761073621, + -1, + -1, + -1, + 700416911, + -1, + -1, + 797062694, + 994252268, + 228532799, + 121321716, + 528322088, + 378328540, + 647054900, + 528726885, + 166812041, + -1, + -1, + -1, + 122066762, + 651991623, + -1, + -1, + 632448201, + -1, + 719752541, + 103924911, + 130846239, + 491433192, + 227393246, + 729447114, + 691173896, + 301320045, + 503261100, + 738819294, + -1, + -1, + 476910019, + 312727423, + 511320006, + 181977576, + 99487863, + -1, + -1, + -1, + -1, + 39343225, + 779768028, + 670058303, + -1, + 283425992, + 768466934, + 207303, + 995635657, + 99556304, + 626844054, + 100891725, + 449316222, + 897411554, + 119113878, + -1, + 610363973, + -1, + 757750896, + 86034924, + 847127392, + 907475706, + 985609620, + -1, + 611433968, + 917969062, + 27064742, + -1, + 946616279, + -1, + 821598913, + 533302506, + -1, + -1, + 480128166, + 669243249, + -1, + 259075013, + -1, + -1, + -1, + 150790098, + 193735567, + 267801020, + 317039532, + 388502126, + -1, + -1, + 446233062, + 576352435, + 600617537, + 374507574, + 488867977, + 840429, + -1, + 860737411, + 323831706, + 703205658, + -1, + -1, + -1, + 29159413, + 987190783, + 573354993, + 994986282, + 429395851, + 703281141, + -1, + 963149171, + 667389271, + 691455266, + -1, + -1, + -1, + -1, + 805682352, + -1, + -1, + 354536855, + 123745902, + 349490958, + 161433389, + 745533654, + 300957050, + -1, + 504188284, + -1, + 544642128, + -1, + -1, + 510374854, + -1, + 162924808, + -1, + 400936844, + 797946340, + 959415430, + -1, + 801697015, + 369173165, + 279828566, + 478805892, + 156829124, + 179120095, + -1, + 397832746, + 247965441, + 894478750, + 964694130, + -1, + 312299562, + -1, + -1, + 793345194, + -1, + -1, + 460844983, + 843087727, + 407582419, + -1, + -1, + 625999452, + 315643494, + -1, + -1, + -1, + -1, + 398008313, + -1, + 733340976, + 326094707, + 72889142, + 54446120, + 731466497, + -1, + -1, + -1, + 532328921, + -1, + 964074738, + 544497457, + -1, + 179262485, + -1, + 134499650, + -1, + 904580426, + 525271267, + 334546237, + -1, + 802824422, + 412110130, + 229498440, + 675320434, + 967334243, + 101512018, + 438893761, + -1, + 473278228, + 327981938, + 194020165, + 981278262, + 82579757, + -1, + 993117391, + -1, + 617216646, + -1, + 964308493, + -1, + 290367231, + 716024790, + -1, + 43536193, + 639592520, + 841263543, + 271957746, + -1, + -1, + 981686243, + -1, + -1, + -1, + 756870529, + 889186829, + 754045012, + 909512861, + 733506005, + 22322168, + 37765996, + 836976472, + 740358051, + 216151793, + 575546991, + -1, + 56888214, + -1, + 282159754, + 209605721, + 899071909, + 718361620, + 256884415, + 212033622, + 413369575, + 732648945, + 490605327, + 579107084, + 575138963, + -1, + 554547428, + 593096618, + -1, + 317762394, + 250751560, + 61161889, + -1, + -1, + 495588611, + 330676778, + 471016045, + 622988418, + -1, + -1, + 481057062, + 487060235, + -1, + 469741378, + 942752970, + 884022606, + -1, + 221819126, + 218180084, + -1, + 7084567, + -1, + -1, + 863310739, + 401845768, + 876831447, + -1, + -1, + 14202114, + 122734561, + 455035698, + 487514322, + 754728969, + 911873668, + 1246709, + -1, + 612562543, + 353474147, + 228718637, + 306959451, + 109105762, + 914563710, + 46962099, + -1, + -1, + 749536052, + 964755837, + 78273408, + 510026013, + -1, + 967070562, + 786672132, + 821346027, + -1, + 632279412, + -1, + -1, + 333047663, + -1, + -1, + 224202300, + 581399210, + 245981604, + 498656529, + -1, + 123963732, + -1, + 627658926, + -1, + 642939343, + 330483122, + 171807769, + 783643525, + 425320319, + 966091517, + 341343999, + 954602729, + 634458682, + 608878558, + 409464605, + 757245741, + -1, + 863084670, + 215380733, + 614200832, + 901149599, + 958293558, + 33308017, + 50930221, + 574231238, + 397323806, + 96527575, + 588999819, + 197554802, + 543597291, + 418887345, + -1, + 81153489, + 5531534, + 486812575, + 163463134, + 544308709, + 927443611, + 790837223, + 535509196, + 83843310, + -1, + 550172428, + 966196811, + 887615340, + -1, + 649222733, + 728739125, + -1, + 494271731, + 854354807, + 487131699, + 906778492, + 113643440, + 37641150, + -1, + 550266391, + -1, + 834826988, + 678395891, + -1, + 622721430, + 508530781, + 226087740, + 429405434, + 396065726, + 124344709, + -1, + -1, + 822769985, + 918904324, + -1, + 463468937, + 917351821, + -1, + -1, + 638988931, + 79305814, + 131060246, + 581832459, + -1, + 434362021, + 598841369, + 739826469, + -1, + 637500479, + 747699390, + 973111934, + 647982912, + 489253656, + 9464615, + 110595732, + 956628923, + -1, + -1, + 945825493, + 476475043, + 184568082, + -1, + -1, + -1, + 653138610, + 25366187, + 290081520, + 279579119, + 812871054, + 337478540, + 272199939, + 215826354, + -1, + 568432145, + -1, + 426375812, + -1, + 25831561, + 188996903, + 459851978, + 861139065, + -1, + 499624749, + 467798780, + -1, + -1, + 606392672, + -1, + 517896544, + -1, + 31571276, + 333056475, + 533440886, + -1, + 998888220, + 703796213, + 960300214, + 531529415, + 14209287, + -1, + -1, + -1, + 983974875, + -1, + 607170751, + -1, + 858035778, + -1, + 645835557, + 719481056, + 80939683, + -1, + 846086033, + -1, + -1, + 184506787, + 461964442, + -1, + 36993412, + 576499429, + 558057677, + 629553035, + 197081852, + 871330736, + 236921967, + -1, + -1, + 303308949, + 732175668, + 462690133, + -1, + 410330301, + 971705420, + 231031993, + 12509892, + -1, + 32731266, + -1, + -1, + 458802604, + 733503516, + 67692401, + 897876597, + -1, + 438016173, + 59475567, + 980582644, + 606345441, + -1, + 966208084, + -1, + 989434989, + -1, + 775580587, + 998376747, + 114822288, + 112680420, + 190660364, + 553602125, + -1, + 711039799, + 472812795, + 905351612, + 713747324, + 934598838, + 586771055, + 62750895, + 857638600, + 986419907, + 254327499, + 121944554, + 432597803, + 581889600, + 135924121, + 29891754, + -1, + 310385869, + 35273393, + 13161720, + 6314010, + 379305484, + -1, + 405973193, + 985570288, + 792228044, + 255741348, + -1, + 819755693, + 100255108, + 504768038, + -1, + -1, + -1, + 892148104, + -1, + 12912649, + -1, + 758696566, + 683594353, + -1, + 806872445, + 942153929, + -1, + -1, + 10220816, + 187042812, + -1, + 268232575, + 655082096, + 239552415, + 137344666, + -1, + 726363286, + -1, + 406381938, + 775622057, + -1, + 240614156, + 165916184, + -1, + 798931677, + -1, + 345371023, + 469642519, + 447351467, + -1, + 472229279, + 778231916, + -1, + 426071224, + 778526184, + 997521687, + -1, + 504242950, + -1, + -1, + -1, + 726269581, + -1, + 232834947, + 52585624, + -1, + 596552995, + 645866891, + 402108634, + -1, + 902358653, + 964377839, + 358423999, + -1, + 683261843, + 550981172, + 593457304, + 895574504, + 636660686, + 663156559, + -1, + 383351602, + 315685452, + 333675487, + 753901647, + 235258425, + 502766898, + 981278233, + 972351574, + 545314585, + 509894093, + 963043343, + -1, + 307138501, + 208288523, + -1, + -1, + 814052057, + 106897973, + 464254101, + -1, + 944066378, + 701147376, + 817108204, + 58057266, + 694203509, + 400869305, + 130293273, + 121323929, + 108413099, + 576235889, + 141193362, + -1, + -1, + 522523748, + 536960834, + -1, + 516260475, + -1, + -1, + 598361168, + 182000679, + -1, + 212620777, + 58270012, + 4562568, + 479486354, + 960261179, + -1, + 989745032, + -1, + 355232056, + 314623135, + -1, + 975355187, + 75085887, + 906158416, + -1, + -1, + 470526684, + -1, + 881521115, + 259465749, + -1, + 590996576, + 211182649, + 307786093, + -1, + 771594007, + 29250309, + 156186845, + 945015482, + 482742817, + 257377720, + 424032406, + 650578573, + 131525983, + 52055388, + 641637668, + 44169285, + -1, + 68648638, + 146923275, + -1, + 363889420, + 802568469, + 134705390, + 167536332, + 953641465, + -1, + -1, + 223739107, + 19163029, + 220291030, + 482648421, + 672939252, + 416205636, + 691089560, + 792240125, + 221145638, + -1, + 593248262, + -1, + -1, + 707462714, + 12138302, + -1, + -1, + 879711038, + -1, + 658974637, + -1, + 442569585, + 130601971, + 922180596, + -1, + -1, + 710794682, + -1, + -1, + 62919060, + 908439814, + -1, + 358056841, + 408364266, + 594760714, + -1, + 294198899, + 653033794, + 766061993, + -1, + 473045874, + 815739291, + -1, + 758245157, + 552543391, + 108355592, + 96092382, + 936223841, + 887153786, + 175851853, + 895797707, + 63188544, + -1, + 84180855, + 63404342, + 22424408, + -1, + -1, + 509049287, + -1, + 529962900, + 201504380, + -1, + -1, + 288419105, + 981537810, + -1, + -1, + -1, + -1, + 781118571, + 658891567, + 151555693, + -1, + 549585717, + 954512779, + -1, + 931483836, + 559980543, + 304715278, + 65232506, + 532976462, + -1, + 983243675, + -1, + 181786754, + -1, + 93541501, + -1, + -1, + 429521561, + -1, + -1, + 555499666, + 921982288, + 520143442, + 487881564, + 939791259, + 321537637, + 996916399, + 451812138, + -1, + 146887091, + 794624225, + -1, + 172202845, + 115035971, + 712381870, + 65252452, + 168946159, + 611826840, + -1, + 955710741, + 731951417, + 343816809, + -1, + 239619023, + -1, + 561731986, + -1, + 478849154, + 70419887, + -1, + -1, + -1, + 915953564, + -1, + 183478603, + 147501313, + 28500121, + 209436436, + -1, + -1, + 22596405, + 799873388, + 440873774, + 208422336, + 215082581, + 784871439, + -1, + 438859974, + -1, + 65781332, + 399597216, + -1, + 579578571, + 11445343, + -1, + 432625254, + 149004654, + -1, + -1, + -1, + -1, + 511384639, + -1, + -1, + 453913944, + 850665601, + 670328007, + 975926460, + 291626461, + 467569900, + 348654472, + -1, + 632456188, + 945141507, + -1, + 498800444, + 13356509, + 284930747, + 437083597, + -1, + 29831115, + 493639947, + 954851183, + 418325291, + 34755217, + 954575765, + 614963216, + 605229589, + -1, + 312857500, + 639490910, + -1, + -1, + -1, + -1, + 283238364, + 922326922, + -1, + -1, + 400385946, + -1, + 729926422, + 243965947, + 155210932, + -1, + -1, + 949713677, + 722666873, + 122118845, + 736006994, + 867512777, + 763908112, + 861711497, + 413633944, + -1, + 356908178, + 482756438, + 672855428, + -1, + 885059790, + -1, + -1, + 863610691, + 521382090, + 741105504, + 866855418, + -1, + 725623198, + -1, + -1, + 214900295, + 450543744, + 197774690, + -1, + -1, + 670720586, + 3933229, + 716633264, + -1, + 966514712, + 934346708, + -1, + 997247578, + 407782636, + 464416357, + 7473950, + 145644261, + 187665801, + 569316803, + 191877862, + 97899135, + -1, + 862371348, + 28889791, + -1, + -1, + -1, + 360179243, + 577778046, + 996084729, + 306430777, + -1, + 922198235, + 275567394, + -1, + -1, + -1, + -1, + -1, + 279739222, + 184503229, + 204854491, + 89518843, + 882009384, + 650258256, + 803014487, + 899095469, + -1, + 44660340, + 681367040, + -1, + -1, + 622175579, + 605957654, + -1, + 678438023, + 153341354, + 31126199, + 572419456, + -1, + -1, + -1, + -1, + -1, + -1, + 66425521, + 504925101, + 983185619, + 660889503, + 559713788, + 738394666, + 456057104, + -1, + 540440387, + 44810327, + 226133964, + -1, + -1, + -1, + 57333727, + 148129353, + 520796211, + 329365548, + 283302559, + 264408936, + -1, + 405321797, + 832525260, + 276667141, + 98975310, + -1, + 36818524, + -1, + 491151940, + -1, + 988374700, + 543174894, + 11177524, + 96280415, + 748523108, + -1, + 165766954, + 59276332, + 289227292, + 398115577, + 980877613, + -1, + -1, + -1, + -1, + -1, + 971274647, + 847250834, + 369359578, + 606120152, + 675312459, + 947799240, + 374349922, + 797977614, + 807927806, + 166382265, + 613318770, + 127157290, + 642079228, + 682947634, + 468878090, + 634347192, + 727770464, + 451133097, + -1, + -1, + 858323490, + -1, + 824568277, + 246215685, + -1, + 535513341, + 144708767, + -1, + 972609650, + -1, + 645704983, + -1, + 776179110, + -1, + 673947217, + 401411220, + 448277211, + 67003556, + 514608667, + 647121419, + -1, + -1, + 1870131, + 959303822, + 245417948, + 564620587, + -1, + -1, + 959769721, + -1, + 777928048, + 561650992, + -1, + -1, + 316448541, + 498030632, + -1, + 112755809, + 735059910, + -1, + 767705683, + 20461856, + -1, + -1, + 129964643, + 927026599, + -1, + 410817440, + 913644244, + 759210081, + -1, + 689517124, + 894957426, + -1, + 891042175, + 632953188, + 566872934, + 893357363, + 556635621, + 380904522, + 731528625, + 380621887, + 591916207, + 994187527, + -1, + 103292280, + 100179300, + 452943331, + -1, + 329613892, + 273949755, + -1, + 34314500, + 523986337, + 742508983, + -1, + -1, + 7585714, + 987724759, + 153027356, + 305880842, + -1, + -1, + 565926495, + 899253662, + 516812347, + 672825470, + 473303313, + -1, + 292110445, + 273894610, + -1, + 935761793, + -1, + 855628455, + 594966219, + 125385467, + -1, + -1, + -1, + 644957146, + -1, + 5968628, + -1, + 584955759, + -1, + 349610472, + 82424008, + 25880413, + 218281445, + 18093876, + -1, + 186282554, + 359548147, + 387189664, + 357274183, + 121297805, + 866476351, + -1, + -1, + 528016297, + -1, + 72684018, + 392640468, + 636112160, + -1, + 621484690, + 344938410, + 749162425, + -1, + 47702422, + 762966396, + 102228987, + 525662082, + -1, + 769108063, + 362822011, + 998015867, + -1, + 576813182, + -1, + 767224497, + -1, + 465657237, + 694807003, + 904562285, + 465406280, + -1, + -1, + 781038027, + 309786090, + 982008069, + -1, + 959533217, + 394328981, + 501273975, + -1, + -1, + 389438349, + 658740220, + 901566963, + -1, + 620766215, + 435617098, + 958297857, + -1, + 279676936, + 514136142, + 298141131, + 487418253, + 373882116, + 919431473, + 119185779, + 72820174, + 395386035, + 645895262, + 514859969, + 186956551, + -1, + 904963384, + -1, + 190308614, + 835330766, + 165195539, + 85687063, + -1, + 221367339, + 217909825, + 516727774, + 589040484, + 725078092, + 179389326, + -1, + 284711448, + 801729257, + 326006573, + 117551686, + 55456601, + 506394150, + 584606700, + 285587275, + 916303101, + 135882177, + 32544192, + -1, + -1, + -1, + 139546928, + 478644502, + 728609928, + -1, + -1, + 720747883, + 569827060, + 880847475, + 829679227, + -1, + 475789429, + -1, + 839913275, + -1, + 178029218, + 131730172, + 104201329, + 743370437, + 445880692, + 999812123, + -1, + 319337676, + -1, + -1, + 250667655, + 714608230, + 756184399, + 281789888, + 245900940, + 281181858, + -1, + 666118574, + 142507719, + 718588900, + -1, + 962409181, + -1, + 934500492, + -1, + 467436464, + 718708520, + 227237535, + 289656613, + -1, + 591765138, + 360882146, + 559717889, + 13550819, + -1, + 819684687, + 377041863, + 439588779, + 335656995, + 128010147, + 424841961, + 694723443, + -1, + 331453608, + 154786961, + 174277611, + -1, + 293659969, + -1, + 756981312, + 457098618, + 389912135, + 264377968, + -1, + -1, + 175960183, + 267081123, + -1, + 14133970, + 339238465, + 358167148, + 821450638, + 482359021, + 379576062, + -1, + 124722208, + -1, + 156643326, + 425718029, + -1, + 563342168, + 908392052, + 658286689, + 377018909, + -1, + 158096298, + 395469635, + -1, + 613211476, + 668890099, + 576279389, + -1, + -1, + 489654053, + 253914305, + 841161937, + -1, + 127905458, + 90144680, + 824702855, + 773134072, + 698810635, + 175569026, + 598733154, + -1, + 772848506, + -1, + 255475686, + -1, + -1, + 900307990, + -1, + 131889488, + 368332213, + 127998388, + 654865101, + 506530665, + 311677682, + 261807481, + 362708415, + 143893955, + 339165504, + 706154128, + 518915540, + 571373191, + 717286245, + 829967756, + 679223111, + -1, + -1, + 602306098, + -1, + 643463704, + 345909805, + 651226246, + 191705433, + 639257236, + 498117547, + -1, + 937156516, + 300781983, + 485114822, + -1, + 217202812, + 449387769, + 337493301, + 304962129, + 70648418, + 658379701, + 914575950, + 273483836, + 2902712, + 140030342, + 245384847, + -1, + -1, + 39811004, + 748552882, + 48275981, + 58196252, + -1, + 398376700, + 194153253, + 324739230, + 951264758, + 481776951, + -1, + 904327728, + -1, + 499315654, + -1, + 546910128, + 262133062, + 441183455, + -1, + 244307062, + 488868504, + 364769741, + 106571645, + 167126109, + 637502841, + 135187499, + 112850490, + 635499732, + 4617873, + 333741684, + 241129161, + 469499023, + 969284458, + 122582032, + -1, + -1, + -1, + -1, + -1, + 567928464, + 536870612, + -1, + 60389102, + 705812933, + 367555265, + 675959197, + 365794464, + -1, + 59731649, + 1026585, + 585018874, + 239535739, + -1, + 931326144, + 653413633, + 337261405, + 633698032, + 849796167, + 360905567, + -1, + -1, + 106926389, + -1, + 426164466, + -1, + 381745527, + 764671219, + 743750556, + 454554825, + 887192211, + -1, + -1, + 927713216, + -1, + -1, + 78134117, + -1, + 472997161, + -1, + -1, + 296644929, + 8970542, + 1810694, + 50548450, + 533380867, + 339156604, + -1, + -1, + 980872981, + 211768003, + 147514714, + -1, + 804389638, + 613429474, + -1, + 443283539, + 209779237, + 794346082, + 351292484, + 834524519, + -1, + -1, + 291121240, + -1, + 989520494, + 440776717, + 464131903, + -1, + 604814693, + -1, + 869015197, + 553926273, + 472847685, + 963086563, + 496047087, + -1, + 915892788, + 481804523, + 536072390, + -1, + -1, + 643943519, + -1, + 613194080, + 233505737, + 321407264, + 284517580, + 626067232, + -1, + -1, + 690249808, + 114852086, + 904859914, + -1, + -1, + 622486615, + 359575888, + -1, + -1, + 734728865, + -1, + -1, + -1, + 9415522, + 529996650, + 451979121, + 339903617, + 5400925, + 251633844, + 962355929, + 26287671, + -1, + 574167522, + -1, + -1, + 195836354, + 780431759, + 795771222, + 980508163, + 807988666, + -1, + -1, + 85140150, + -1, + 143399167, + 977362295, + -1, + 141454340, + 61412669, + 850465212, + -1, + 480602931, + -1, + 618080133, + 550831625, + 899832715, + 267242819, + 103113533, + 862465522, + 849352827, + -1, + 897568981, + 27014925, + -1, + 481581851, + -1, + 241526530, + -1, + 786694366, + 478579431, + 612758187, + 148160459, + -1, + 125003598, + 735729723, + -1, + -1, + 16713341, + -1, + 448375325, + 479670220, + -1, + 936013134, + 935796440, + 641002766, + 75328366, + 53539954, + -1, + -1, + 282985591, + 534750059, + 545219864, + -1, + 305286448, + 818629490, + 194983260, + 873638961, + 117088346, + 309718907, + 940838717, + -1, + 832745024, + 71414136, + 20589534, + 258926389, + -1, + 236067962, + -1, + -1, + -1, + 400011464, + -1, + -1, + 614328898, + -1, + -1, + -1, + -1, + 978416473, + 158475776, + 872773089, + -1, + 696555672, + 288543312, + -1, + -1, + 473479052, + 375676844, + 520028122, + 181582771, + -1, + 951457636, + 313177328, + 989925781, + -1, + 21482100, + 256592002, + 933990897, + 858706992, + -1, + 255231844, + 453611913, + 227718694, + 969348656, + 629402062, + 178308512, + 893782482, + 509869678, + -1, + 11695178, + -1, + -1, + -1, + -1, + 647580378, + 135813211, + -1, + 527141786, + -1, + 654091422, + 848257116, + 477083782, + 901722783, + 316621062, + 46086387, + 465565683, + 790513239, + 505660717, + 227125232, + 214741753, + 339822959, + -1, + 93145053, + 465761431, + 545327423, + 704852649, + 219430849, + -1, + 17276403, + 310159880, + 187795311, + 124638315, + 585480537, + 860692412, + 976522989, + 695218649, + 633718454, + 623768682, + 336165006, + -1, + 61978358, + -1, + 721668626, + 420817463, + 705751864, + 408229357, + 983415369, + 339692347, + 565646241, + 804561983, + -1, + -1, + 880646207, + 595137354, + 315272328, + 463156273, + 455091321, + -1, + 972417356, + -1, + 698911715, + 51527282, + 32107195, + 172656156, + -1, + -1, + 968862376, + -1, + -1, + -1, + 970553707, + 266651546, + 271149916, + 970603374, + 260308615, + -1, + 582540213, + 968309100, + 201183024, + 537754671, + -1, + 922736853, + 228274243, + -1, + 503374026, + -1, + 494383954, + 416283241, + 248979819, + -1, + 882002099, + 176060404, + 448607285, + 516035067, + -1, + -1, + 250105626, + 334396168, + 391381027, + 536976384, + 635565845, + 425627283, + 124916816, + -1, + 8015109, + -1, + 929848643, + -1, + -1, + 447224417, + 86100300, + 995579154, + -1, + 834287478, + 276174827, + 618504295, + 116211232, + -1, + 213086785, + -1, + 471215357, + -1, + 992840187, + -1, + 249708389, + -1, + 893918381, + 24852886, + -1, + 722836582, + 373647106, + 521935918, + 78917050, + -1, + 174462233, + 835943651, + 664983127, + 38406082, + 436896856, + 933686857, + -1, + 657072544, + 43057285, + 882958016, + -1, + 884342469, + 768142362, + -1, + 524186282, + 741907217, + 977923245, + -1, + -1, + 415470027, + 30950468, + 202815850, + -1, + -1, + -1, + 790712770, + -1, + -1, + -1, + -1, + -1, + -1, + 483634113, + 219198852, + -1, + -1, + -1, + 237416412, + 288037477, + -1, + -1, + 676308859, + -1, + 741996812, + 457556641, + 491821755, + 316621528, + 187188224, + -1, + -1, + 945015170, + -1, + -1, + -1, + 352860971, + 88402211, + 750884252, + 989961892, + -1, + -1, + 708075573, + 592039159, + 178934467, + -1, + 209391474, + 201604263, + 993492752, + -1, + 328609956, + -1, + 827138129, + -1, + 270347147, + -1, + -1, + -1, + 614897153, + -1, + 73437872, + 288029824, + 831940197, + 586269852, + -1, + 431385120, + 385964422, + 283024880, + 35903391, + 596580485, + 185725462, + 98988904, + -1, + 535200213, + 198988684, + -1, + 292495069, + 900994720, + 73667189, + 644578627, + 849975886, + 543721067, + 309887057, + 780360711, + 550787633, + 600515025, + -1, + 91001180, + -1, + 49837148, + 794992242, + 663548003, + 419301866, + 116974156, + 524681245, + -1, + 240529508, + -1, + 926625224, + 907753740, + -1, + 6909889, + 321984715, + -1, + 331338842, + -1, + 722059628, + -1, + 768443077, + 246650788, + -1, + 843270724, + 283796224, + 138778574, + -1, + 793269339, + 623858118, + 990630796, + -1, + 964512034, + -1, + -1, + 100349194, + 353189251, + 196974528, + 471377725, + 687569433, + 745270050, + -1, + 243600100, + 613028108, + 969039650, + 903923334, + 308430042, + 391150761, + -1, + 156935047, + 723910914, + 663688616, + 568913176, + 506328991, + 811490991, + 621585868, + 621961664, + 280335079, + -1, + -1, + 871805649, + 295543837, + -1, + 915450937, + 699269268, + 544068423, + 440936325, + 210407726, + 163699643, + -1, + 77289198, + 718704877, + 407802727, + -1, + 263871625, + 849551404, + 909188134, + -1, + -1, + 698110680, + 536388569, + -1, + 207261296, + 699107611, + -1, + -1, + -1, + 361164933, + -1, + -1, + 152856653, + 816336213, + 268728633, + 484527742, + 704123307, + 861931031, + -1, + 410151816, + 157101631, + -1, + -1, + 448098526, + -1, + 444283546, + 82042905, + -1, + 84574557, + 365340699, + 8184274, + -1, + 645405138, + -1, + 187867726, + -1, + -1, + 608938737, + 465368536, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 795873185, + 206030644, + 614200099, + 124975403, + 853770769, + -1, + 306636336, + -1, + 882175563, + -1, + 582086872, + -1, + 969582521, + 420032453, + 821971332, + 27353321, + 823894822, + 351269558, + 977476296, + -1, + 525107140, + 6688740, + 121978978, + 423387541, + 612239213, + -1, + 901162, + 221877344, + 566605075, + -1, + 56493014, + 872852626, + -1, + 600288905, + -1, + 472464885, + -1, + 772256787, + -1, + -1, + 516520619, + -1, + -1, + 848402595, + 874814487, + 438639153, + -1, + 912809237, + 844430359, + 488669863, + 589911325, + -1, + 297991294, + -1, + -1, + -1, + 142568915, + 96557438, + 370836756, + 668438517, + 95401300, + 184294168, + 560923514, + 663693259, + -1, + -1, + 623977355, + 910162403, + 98683798, + 749659581, + 374127673, + 912157502, + 506174700, + -1, + -1, + -1, + -1, + 568357530, + -1, + 376302165, + 618290279, + 100017320, + 911491391, + 589806459, + 845402972, + -1, + 615559022, + 78544627, + 690826104, + 220452746, + -1, + 860403594, + 897019120, + 637544607, + 20036866, + -1, + 160104184, + 554286330, + -1, + 449394659, + -1, + 966721505, + 83257874, + -1, + -1, + 713231712, + 587735018, + 942806338, + 875864209, + -1, + -1, + 586636927, + -1, + 316313686, + -1, + 904650772, + -1, + -1, + 156647766, + 338728677, + 883883288, + 476212414, + 322195643, + 624158188, + -1, + 10747098, + 665557635, + 457834267, + 159591874, + -1, + 575950849, + 814734379, + -1, + -1, + 534944920, + -1, + 553275146, + 546001023, + -1, + 902426430, + 684228288, + 231587301, + -1, + -1, + -1, + 811828865, + 790615232, + 992186838, + 94678385, + -1, + -1, + 97148578, + 764263259, + 485043337, + 569669424, + 453042549, + -1, + 832537528, + 621749450, + -1, + 557440441, + 479547262, + 799786747, + 116022939, + 825250036, + -1, + 410084310, + 262376904, + -1, + 357443231, + 129129567, + 558391034, + 639464612, + 819086646, + 854875398, + 300394316, + -1, + 414094631, + 756330906, + 736875102, + -1, + 953968775, + 712567927, + 908020261, + 610858807, + 61780322, + 497044370, + 242619565, + 935465635, + 945545798, + 302254941, + 278423142, + -1, + 966511171, + 927239652, + -1, + -1, + -1, + -1, + -1, + 402313626, + 637154522, + 319856995, + 481961716, + 21726065, + 141830206, + 134377678, + 929795974, + 557790815, + 745273642, + 816366231, + -1, + 95433159, + 459832899, + 24210851, + -1, + 317175438, + 497079031, + -1, + -1, + 311886729, + 194629017, + 290649093, + 7291063, + 528678241, + -1, + 672254150, + -1, + -1, + 403468668, + -1, + -1, + -1, + 447850503, + 708758773, + 509093590, + 581904583, + 797610872, + 175092681, + 662343689, + 813389426, + -1, + 579481434, + 48905799, + 461519114, + 615975621, + -1, + -1, + -1, + -1, + 143829071, + 972364208, + 836646080, + -1, + 981810361, + 816685230, + 372508965, + 409692777, + 383359021, + 479693494, + 582388949, + 51193722, + -1, + -1, + 569756011, + 776388755, + 598816046, + -1, + 249628718, + 451364520, + 848774592, + 278228400, + -1, + 116482153, + 856600720, + -1, + 984321064, + 445393813, + -1, + 431510530, + -1, + -1, + 862980051, + 432869407, + -1, + 96712654, + 704200355, + 481134531, + -1, + -1, + 911021655, + -1, + 44407410, + 911933794, + -1, + -1, + 234583214, + 201955422, + 182246925, + -1, + -1, + 308649911, + -1, + 856837129, + 882764687, + 494488088, + -1, + -1, + 714099920, + -1, + -1, + 195621403, + 992773126, + -1, + 924587377, + 415888821, + -1, + -1, + 300489168, + 934629846, + 977710096, + 194158161, + -1, + 130166361, + 573807734, + 236402908, + -1, + 893487317, + 833791776, + 454518917, + -1, + -1, + -1, + 291486850, + -1, + 36711340, + -1, + 202165435, + 923101434, + 16783361, + 783106127, + -1, + 330486856, + 910018859, + 672185625, + 77957357, + 248876800, + -1, + 704275168, + -1, + 378410424, + 252275738, + -1, + 894138956, + 320496090, + 769255746, + 405542938, + 236145072, + 960112186, + 361755655, + -1, + 497753286, + 6488547, + 494077232, + -1, + 838159424, + 549189764, + 689362902, + 334510811, + 853480878, + 586055700, + -1, + -1, + 540658906, + -1, + -1, + 419926248, + 811566724, + 935551842, + -1, + -1, + -1, + 604548740, + -1, + 442691632, + 900245546, + -1, + -1, + 604318724, + 231773379, + 810775415, + 616989960, + -1, + -1, + -1, + -1, + 547390185, + 721830846, + 129627428, + -1, + 33735026, + 597183880, + 595508298, + 369704149, + 746548258, + 995898605, + 666366013, + 756881684, + -1, + 253314312, + 467295883, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 498200274, + 589863142, + -1, + 765368692, + 550458435, + 638246973, + 22039503, + 329528586, + 17690561, + 264315754, + 173099708, + 917934061, + -1, + -1, + 568122320, + -1, + 765409093, + -1, + 882961836, + 367710701, + 945964713, + 979116895, + 876509044, + 270431167, + 197988342, + 302268499, + 803561279, + -1, + 135711604, + 606920767, + 883939701, + 877179943, + 510245398, + 384495633, + 223760007, + 736177012, + -1, + 593830509, + 887977060, + -1, + 847370618, + -1, + -1, + 891569784, + 795941519, + 103309668, + -1, + 545618611, + 348294004, + 326928471, + 614318921, + 701824012, + 386653297, + 923174585, + 712643233, + -1, + 991192728, + 225212905, + -1, + 606499323, + 657829413, + 400584485, + 514606865, + 181422663, + 402171865, + 161968823, + 501049784, + 695546803, + 160950617, + -1, + 690800498, + -1, + 391090529, + 228105479, + 247069080, + 863976865, + -1, + -1, + 806625610, + -1, + 186763350, + 849250000, + 559873108, + -1, + 337453654, + 897382655, + 469136985, + 26061157, + -1, + 139458092, + -1, + 179177926, + -1, + 868042657, + 864654876, + -1, + -1, + 288823292, + 336275561, + 277883218, + 872818331, + 720009038, + 562124777, + -1, + -1, + 924904650, + 899793527, + 255102837, + -1, + 871234168, + 102363097, + -1, + 570823329, + -1, + 633631435, + -1, + 187924882, + 173122417, + 334799882, + -1, + 654161256, + -1, + 207009081, + 922221784, + 572690617, + -1, + 330542454, + 778254638, + -1, + 56892955, + 362366535, + -1, + 82036087, + 440745185, + -1, + 524177020, + 404226625, + 18086923, + 215535602, + -1, + -1, + -1, + 963667207, + 730374130, + -1, + 48160733, + -1, + 495840177, + -1, + -1, + 693544636, + -1, + 281302322, + 461714060, + 70601578, + -1, + 897038500, + 372489421, + -1, + 107241975, + 233711460, + 747765339, + 418452846, + 159788133, + -1, + 195564177, + 136885025, + 962049510, + 888763838, + 261935166, + 909908792, + 660674626, + -1, + 516353703, + 969753198, + 121316758, + 965858906, + -1, + -1, + 347502720, + 441311230, + -1, + 511681563, + 468945937, + 978105165, + 466508643, + -1, + 143844194, + 241282968, + 125433265, + 187061306, + 384859753, + 792390491, + 262618335, + -1, + 775207849, + 917800814, + 357969948, + 688028814, + 757935650, + -1, + 702070540, + 812059118, + -1, + 561412635, + -1, + 486133384, + 337004657, + -1, + -1, + -1, + -1, + 342471849, + -1, + 563215894, + -1, + 455852697, + -1, + -1, + 623915993, + 114150314, + -1, + 190264332, + 357399309, + 567810036, + 878624969, + 531028390, + 969993386, + 785986047, + 485837984, + 397574678, + 243625080, + 435301927, + 102527274, + 539511263, + 864612316, + 122870019, + 268494573, + 303235915, + 149532384, + -1, + 309358258, + 458739472, + 199610595, + 29499194, + 474358037, + 576495821, + 904776034, + -1, + 404341990, + 747196475, + -1, + 500589638, + -1, + 378909530, + 111277819, + -1, + 786872135, + -1, + 455441431, + 248366640, + 239797338, + 26539725, + 56822753, + -1, + -1, + -1, + 873844940, + 695860342, + 401822127, + 181858006, + 861634674, + 339462369, + 517203943, + 324454408, + -1, + 794260059, + 14294096, + 797589059, + 867770663, + -1, + 712724875, + -1, + -1, + 584967328, + 484122321, + 694269394, + -1, + 471778381, + 982701710, + -1, + -1, + -1, + 82723837, + -1, + 423577502, + -1, + 544205175, + 980952279, + 364906544, + 364450666, + -1, + 518984322, + -1, + 675684392, + 342624560, + -1, + -1, + 362907308, + 121523932, + -1, + 515030830, + 410605606, + 761997671, + 799079516, + 304661319, + 750962219, + -1, + -1, + 151517896, + 661113165, + -1, + 519017200, + 315188040, + 893706849, + -1, + -1, + -1, + 237808251, + 122420299, + -1, + -1, + 702015313, + 953070437, + 116446442, + 358868623, + 192047569, + 534074257, + 187571352, + 305031614, + -1, + 530394945, + -1, + 955134492, + 410839059, + 695041647, + -1, + -1, + 995350773, + 270342506, + 531731976, + 92702779, + -1, + -1, + -1, + 298670876, + 214810948, + 380617197, + 938133394, + 587113751, + 208629041, + 237179688, + 683621511, + 720183984, + 460824756, + 299481686, + -1, + 238142867, + 673791149, + 363526200, + -1, + 276741624, + 710793243, + 167332225, + 877242118, + 167453145, + 30373349, + -1, + 916628594, + -1, + 720036729, + 354935871, + 807455003, + -1, + 466639957, + 184666101, + 227853144, + -1, + -1, + 440144314, + -1, + -1, + 412049736, + 505883617, + 247515307, + 320524092, + -1, + 659361525, + -1, + 268317104, + 707936309, + 626328659, + -1, + 476925223, + 319811160, + -1, + -1, + 217902796, + 380209802, + 920816668, + 199608893, + 413763362, + 894592101, + -1, + -1, + 534684237, + -1, + 968125373, + 124521759, + 795580392, + 658231181, + 149917037, + 832226384, + 6772906, + 622099667, + -1, + 387051153, + -1, + -1, + 802663462, + 788511757, + 430380807, + -1, + -1, + 17459293, + -1, + 596535061, + -1, + 430286218, + 960959035, + 877579377, + -1, + 21077934, + 907982887, + -1, + 732448617, + -1, + -1, + 343920657, + 947676939, + -1, + 462487265, + 490946289, + 241174811, + 8242448, + -1, + -1, + 486051494, + -1, + -1, + 492569126, + 592132207, + -1, + -1, + 497441147, + 193156491, + 194566796, + 908492994, + -1, + -1, + 483891811, + 837122373, + 89792931, + -1, + -1, + 353012061, + 317726316, + 219760324, + 671665848, + 338998189, + -1, + -1, + 507361801, + 580019868, + 902019775, + -1, + 347348686, + 341544440, + 991835353, + 125861622, + 401756335, + 676355813, + 213220049, + 169557853, + 991744295, + -1, + -1, + -1, + -1, + -1, + 421935134, + 375138707, + 335156308, + 676260002, + -1, + -1, + 156275307, + 572240047, + -1, + 313732985, + 898160917, + 957264015, + -1, + 138146839, + -1, + 247351137, + -1, + 166037242, + 82216213, + 590976998, + 545271729, + -1, + -1, + 164183660, + 628243722, + 848324485, + 382059937, + 220933909, + 498694715, + -1, + -1, + -1, + 274405698, + 929750264, + 194413765, + 147872318, + 580566087, + 376915000, + 907365857, + -1, + 703027357, + -1, + 341451825, + -1, + 654512794, + 971367705, + 155542921, + -1, + 211313677, + 624250897, + 339573725, + 457616061, + -1, + 652330566, + 394576112, + 320852196, + -1, + 437174815, + 557748575, + -1, + 233549303, + 237515691, + 288215126, + 559993393, + 698848828, + -1, + 184990, + 910995914, + -1, + 137578082, + 179855042, + 606383715, + -1, + -1, + -1, + 674790684, + -1, + 820794036, + 722201224, + 506697661, + -1, + -1, + 488665643, + 723488436, + 107530750, + 476699715, + 374075591, + 969979563, + -1, + 294153740, + -1, + -1, + 740839457, + 686347984, + -1, + 225890072, + -1, + -1, + 280861941, + 828810212, + 276732835, + 132036983, + 272408286, + -1, + 830973747, + -1, + 777523519, + 356287556, + 582828906, + 821483807, + 125793039, + 163087195, + -1, + 590444531, + -1, + -1, + 574394438, + 130498015, + 396884112, + 61119776, + 855703500, + 420766893, + 159553450, + 834979055, + 780932370, + -1, + 833322706, + 397120911, + 875075402, + 521226462, + 664052080, + 977126236, + 347287396, + 84010941, + 834430489, + 485510990, + 214584904, + -1, + -1, + 504397325, + 547150199, + 737881700, + 833516764, + 108125787, + 868855792, + 209362829, + 844765161, + 356495475, + -1, + 645700345, + 300975954, + 129205152, + 363810869, + 293813659, + 309269315, + -1, + 662376156, + 835732017, + -1, + -1, + 668854303, + 220850779, + -1, + 600814557, + 902373991, + 438739051, + 314975264, + 591350079, + 143028770, + 495787821, + 710800657, + 130681889, + 892539814, + -1, + -1, + 68118626, + 221667404, + 572439717, + 635561006, + 272087489, + 632060727, + 827965585, + -1, + -1, + -1, + 953945535, + 970193508, + 395528174, + 633391641, + 953415060, + -1, + 311148027, + 34133675, + -1, + 395145221, + 431365180, + 856751073, + 1945588, + -1, + 886635716, + 56785645, + 954900518, + 142174785, + -1, + 572468139, + 34784351, + 46872467, + 277674430, + 238523052, + 997849483, + 163904482, + 998639318, + -1, + 744694309, + 32654955, + -1, + 153119137, + 399470861, + -1, + 753030783, + -1, + 45605451, + -1, + -1, + 712234167, + 871801223, + 579021224, + 518666521, + 774788068, + 648954352, + -1, + -1, + -1, + 78600966, + -1, + 291008388, + 720809038, + 296784312, + 813840093, + -1, + 574862027, + 972288776, + 679536919, + 168898666, + 705966740, + 385120065, + 767112167, + 829872836, + 517012799, + -1, + 742208494, + 898478437, + 442664307, + 22916672, + 377536802, + 983546898, + -1, + 395184703, + -1, + 346133097, + 266641136, + 557487562, + 447279394, + -1, + 127185654, + -1, + -1, + 893264059, + 378716116, + 996579562, + 746091694, + -1, + 33669698, + -1, + 531175940, + 394235874, + 276845005, + -1, + 959594977, + 800958523, + 466972274, + 429088586, + 332615559, + 620403367, + 561506236, + -1, + 530332499, + -1, + 315185852, + -1, + -1, + 42751497, + 194964501, + 143977492, + 297305910, + 726021468, + 651176930, + 968249981, + 830173020, + 330498688, + -1, + 729857176, + -1, + 864337707, + -1, + 336829912, + 92396623, + -1, + 91319438, + 817401754, + -1, + 842991509, + 859548576, + 522036940, + -1, + 175570440, + -1, + -1, + 794500723, + 703587222, + 31008804, + 751791675, + 541541385, + 322966139, + -1, + -1, + 650253947, + 421954779, + 718366133, + 129995057, + -1, + 389034130, + 500361797, + 852716930, + 851166979, + -1, + 743665892, + -1, + 578276047, + 715839737, + 540971023, + 718165618, + 206581198, + 353568356, + -1, + 723297598, + 752734005, + 900234196, + 835695535, + 489404751, + -1, + 2512988, + 340392458, + -1, + 519600706, + 590172193, + 673715958, + 444466079, + -1, + 855980867, + 410797873, + 240382819, + 990564287, + 726742061, + 684974258, + 153494344, + 80566739, + 400007701, + -1, + 785889798, + 927947254, + 272348991, + 457205794, + -1, + 373553815, + -1, + -1, + 140990709, + 764742867, + 260880512, + -1, + 593361369, + -1, + -1, + -1, + -1, + 201121231, + 237232597, + 376401249, + -1, + 312705997, + -1, + 787863456, + 494098032, + 516394824, + -1, + 79832721, + 450735313, + -1, + 917515276, + 849495248, + 340098533, + 136630379, + 883609008, + 650185569, + -1, + -1, + 157957510, + 33753721, + 769415858, + 123525906, + -1, + -1, + 662177644, + 5398623, + 343672373, + 211330534, + 551121330, + 136674337, + 61481684, + 677577985, + 393194075, + 160368929, + -1, + 663217464, + 801295749, + 239242835, + 434337186, + 316981843, + 764357767, + 374854501, + 165120016, + 796871881, + 382580058, + 706863158, + 501228563, + 973942839, + -1, + 950177383, + 202049489, + 20265361, + 259141775, + 777415139, + 669905096, + 846316790, + 39516947, + 565119391, + 667571696, + -1, + 601655108, + -1, + -1, + -1, + -1, + -1, + 17589119, + -1, + -1, + 573353581, + -1, + -1, + -1, + 88676132, + 832914234, + 603639864, + 905717325, + 47305557, + 553949598, + -1, + 305448431, + -1, + 554484939, + 921009251, + 801381053, + 66379139, + -1, + 733212251, + -1, + 260994791, + 939753066, + 92546903, + -1, + 465607061, + 709246145, + 294097906, + -1, + -1, + -1, + -1, + 5269691, + 615393879, + 79921838, + -1, + 68921861, + -1, + -1, + 794931715, + 603705256, + 59336402, + -1, + 215449187, + -1, + 432079671, + 81618007, + 252356810, + 705896414, + -1, + -1, + 810719312, + -1, + -1, + 551794254, + -1, + 186921197, + -1, + 733864120, + -1, + 116842436, + 853807369, + -1, + 300974554, + 898147596, + 830854219, + 991874912, + 689505729, + -1, + 35702845, + 805858779, + -1, + 728370927, + 374180685, + -1, + 250147911, + -1, + 13109062, + 145606965, + 684834933, + 227987611, + 24378162, + -1, + -1, + -1, + 516210574, + 133983538, + 695193035, + 360313268, + 859831416, + -1, + 270001720, + 750231108, + 156443872, + 355469881, + 235887770, + 13956823, + -1, + 758910853, + 652492221, + 18574260, + 124378142, + 312552587, + 56151089, + 909119046, + 31508596, + 176650247, + 401158193, + -1, + 36720184, + -1, + 54153900, + 371414387, + 653677790, + 363133173, + 989438809, + 234253309, + 822782571, + 428358529, + 918361305, + 826317842, + 116794222, + -1, + -1, + 220755405, + 843726134, + -1, + -1, + 697367348, + 912391524, + 897532479, + 843621059, + 604473290, + 599105787, + 976097040, + -1, + 958999944, + 275283281, + 438217612, + 468740560, + -1, + 640461250, + 676876577, + -1, + -1, + 205710835, + -1, + 748529406, + -1, + 141272278, + 317301998, + 727153411, + 615702241, + 484627629, + 184232642, + 74317861, + -1, + 675385928, + -1, + 802113877, + 838835218, + 452372414, + 594745083, + -1, + 197967643, + -1, + 463665512, + -1, + 916255942, + 764174092, + -1, + -1, + 585926384, + 79792391, + 202849583, + -1, + 492971533, + 418978308, + 576564842, + 314556912, + 311555602, + 235937694, + 964218669, + 698399796, + -1, + 811007602, + 619224499, + 121410469, + 284255496, + 812832582, + 900313862, + 996680183, + -1, + 235964481, + 116231312, + 847920823, + 996057878, + -1, + 560653659, + 661275038, + 662551347, + 397231943, + 824937567, + 909340834, + -1, + 873796457, + 764129350, + -1, + 572546302, + 427780934, + 357914249, + 16021414, + 357891630, + -1, + 781445224, + 972796979, + 160172567, + -1, + 862261908, + 53517455, + 878677447, + 518699789, + 856656367, + -1, + -1, + -1, + -1, + 717962625, + 638962058, + -1, + 189090353, + 771021424, + 476639272, + -1, + 183057984, + 554561759, + -1, + 725296390, + 883450763, + 672977863, + -1, + 630971255, + -1, + 555946770, + 659185922, + -1, + 282128576, + 880686304, + 355704801, + 726101816, + 191767255, + -1, + 202361488, + 88057563, + -1, + 873640691, + 816770923, + 896262042, + 876501038, + 143588877, + 292832824, + -1, + 450893035, + 984407812, + 314705705, + 134086722, + -1, + 433729119, + 12901251, + 280186598, + -1, + 80844486, + 803452873, + 240227819, + 746406729, + 968586787, + 848124965, + 308183453, + 65257477, + -1, + -1, + 856151311, + 175796123, + -1, + 687636922, + 770084179, + 80585408, + 488150748, + 117759760, + 966131268, + 16352322, + 708065311, + -1, + 512759350, + -1, + 668571277, + 652177946, + 618092916, + 636681320, + 690970914, + 888525459, + 636639786, + 774753393, + 659355368, + -1, + 199657817, + 884203182, + -1, + 707127392, + -1, + 822561874, + -1, + -1, + -1, + -1, + -1, + 246676132, + -1, + -1, + 91815753, + -1, + 983440986, + 636366320, + 206751006, + 281003922, + -1, + -1, + 548657080, + 715215789, + -1, + -1, + -1, + 608111147, + 356961600, + 393161746, + 479071520, + 436818961, + 632838979, + 112191248, + 466655590, + -1, + -1, + 967512099, + 227167263, + 945158459, + 547910043, + 480576106, + 896299094, + 74560210, + -1, + 153526489, + 594271034, + -1, + -1, + 446030572, + 753394342, + 835414978, + 120561177, + 345692294, + 633340541, + 339290979, + 537059220, + 276553432, + -1, + 339941791, + 728830486, + 228343640, + -1, + 697481017, + -1, + -1, + -1, + 969394065, + 598995149, + 400423102, + -1, + 100457646, + -1, + 224871643, + 998243389, + -1, + 330064481, + 36010265, + -1, + 944643366, + -1, + -1, + -1, + 266569478, + 719239197, + 28441238, + 379866041, + 297494640, + 924451744, + 800206770, + 292524796, + 356949766, + 581019187, + -1, + -1, + 529398394, + 864015855, + 374515996, + 514321896, + 994906862, + -1, + 181214182, + 825108122, + 458617242, + 784621886, + 217832902, + 33680223, + 212701790, + 535574205, + 914887466, + -1, + 577621331, + -1, + 283890503, + 15596786, + 115837627, + 333607197, + 269856181, + -1, + -1, + 96299680, + -1, + 543912707, + -1, + -1, + -1, + -1, + 508032452, + 438899396, + 260188292, + 972352171, + 602891488, + -1, + -1, + -1, + 644623536, + 41825942, + -1, + 816591402, + -1, + 119441698, + 160377101, + 908394209, + -1, + 842706777, + 7062977, + -1, + 351097804, + 358405585, + -1, + 784606623, + 794247199, + 389723175, + 498999358, + 653791711, + 905200825, + -1, + 654989776, + 833778336, + 576215217, + -1, + -1, + 659340200, + 121399493, + -1, + 419148187, + -1, + 663721115, + 898184695, + 371586158, + 743359819, + 412557648, + 123027546, + -1, + 416598287, + -1, + 515195474, + 345795146, + 162633618, + 255214521, + -1, + 81548143, + -1, + -1, + 954532532, + 126991672, + 301543674, + -1, + -1, + 151489742, + -1, + -1, + 460276964, + 462620461, + 502692714, + 604728743, + 621627719, + -1, + 819557776, + -1, + 728115914, + -1, + 436908480, + 594313962, + 715589898, + 459186225, + 556149527, + 862445316, + 864144245, + 947668302, + 233226237, + -1, + -1, + -1, + 132758140, + 174219253, + -1, + 276033598, + -1, + -1, + 229944799, + 245898075, + 118513934, + -1, + 632196402, + 706780333, + 704750381, + 509520794, + 587774589, + -1, + 565283423, + 287507823, + 733089459, + 769970446, + 686768550, + 573492094, + 204391554, + 598379964, + 212036793, + 541694871, + 780800474, + 517345379, + 117062891, + 514306292, + 294839715, + 936080926, + 970664567, + 25292602, + 422747947, + 92458954, + 649554814, + -1, + 401389344, + 836891067, + -1, + 174724484, + 103807923, + -1, + -1, + 639832077, + 706360004, + -1, + 739914620, + 178503350, + 929019459, + 925406891, + 317465220, + 357993864, + 841435760, + 713954545, + 93312827, + 78142658, + 161834643, + 870701049, + -1, + -1, + 156631058, + 214650930, + 550274557, + 23299387, + 45311855, + 313399455, + 355272687, + -1, + -1, + 96904237, + -1, + 19501459, + -1, + 791391450, + 221751733, + 879821161, + 938159877, + 9281655, + -1, + 741784695, + 492437421, + 785990772, + -1, + -1, + 895171395, + 451021298, + 506934207, + -1, + 299049718, + 630021871, + 791756110, + -1, + -1, + 511090192, + -1, + -1, + -1, + -1, + 909321558, + 820945168, + 200323196, + -1, + 385384490, + 669850380, + 455641321, + -1, + -1, + 326264758, + 378501378, + 826192258, + 962051163, + -1, + 444542500, + 439373618, + 35610091, + -1, + -1, + 592335304, + 190758285, + 620108843, + 427627832, + 590128993, + 327785061, + 581943476, + 215222962, + -1, + 419819383, + 98430899, + 816122794, + 798691122, + 743112432, + 222476903, + -1, + -1, + 167350746, + -1, + 473871165, + 182239698, + 42843400, + 857985473, + 678556524, + -1, + 115678437, + -1, + 680257111, + 88170015, + 401656503, + 228459659, + -1, + -1, + 613982179, + 223171690, + -1, + 406290056, + 212423290, + 754607051, + 89461022, + -1, + -1, + 415172069, + 427217294, + 682656594, + 245274283, + 370278935, + -1, + 850935156, + 391531710, + -1, + 508924067, + 79023382, + 388229027, + 595289612, + -1, + 371172865, + 724863195, + -1, + -1, + 629268601, + 675371941, + 809497208, + 143532158, + 205424136, + -1, + 283897118, + 26332315, + -1, + 577526313, + 645544470, + -1, + 576684057, + -1, + 387394934, + -1, + 65271633, + -1, + -1, + 626752075, + 717118529, + -1, + 805049645, + 283901426, + 285131607, + 658734383, + 492608487, + -1, + 19348350, + 642237232, + 336648466, + -1, + 955259694, + -1, + -1, + 85085576, + 117991180, + 653250541, + 416434052, + -1, + 763078514, + -1, + 97138388, + 75567136, + -1, + 950355622, + 6387324, + -1, + 503528939, + 885871758, + 444808532, + 158898251, + 603936155, + -1, + 508548376, + -1, + -1, + -1, + 204509952, + 610379971, + -1, + -1, + 390075303, + 118909388, + 823684491, + 42216659, + -1, + 562547442, + 16813437, + 701942911, + 444556850, + 412128256, + 740492125, + 332598607, + -1, + 229151236, + 295724251, + -1, + 625726971, + -1, + 325582141, + 913321848, + 258030695, + 579647016, + 624015994, + -1, + 432525951, + 368029647, + -1, + -1, + 575301102, + 462726612, + 703213495, + 932767851, + -1, + 813657200, + 544149145, + 600053679, + 937815944, + 509125528, + 169791287, + 542683053, + -1, + -1, + 851949695, + -1, + 511592531, + 125546571, + 5865855, + -1, + -1, + 980737311, + 320290002, + -1, + 234092937, + -1, + -1, + 307301040, + -1, + 220487321, + 249116479, + 12518292, + 574484074, + 542526193, + 773537196, + -1, + 46527146, + 724114397, + 760972304, + 976976552, + 198345964, + 953625707, + -1, + 72782746, + -1, + 247664750, + 144303561, + 820449607, + 144831635, + -1, + 222767782, + 392479771, + 328199585, + -1, + 258357615, + 57814403, + 521094982, + 275028647, + 496976783, + -1, + 677774416, + 764086825, + 636646371, + -1, + 742300952, + 377977437, + -1, + 526257995, + -1, + 754438971, + 197390870, + 89788328, + 871971048, + 884595451, + 341507526, + 160113773, + 847616990, + -1, + -1, + 344188915, + 441036992, + 85088274, + 55498430, + 464603127, + 380031222, + 563223123, + 636053294, + 471823265, + -1, + 705270291, + 342954200, + -1, + -1, + 404743417, + 278938022, + -1, + 732604509, + -1, + -1, + 724259292, + 695698107, + 110690140, + -1, + 113984987, + 760944227, + 826626177, + 670104815, + 611881928, + 297233814, + 588348882, + 684671307, + -1, + 925314374, + 781770045, + 167312995, + -1, + 602357792, + 571123320, + 844702792, + 996458934, + -1, + -1, + -1, + -1, + 331740024, + 670297256, + 641541372, + 335647428, + -1, + 533718800, + 331255799, + -1, + -1, + -1, + 323485777, + 447741464, + 436560674, + 413944956, + -1, + -1, + 437722085, + 565969883, + 231544821, + 815545121, + -1, + 234310579, + 617350173, + -1, + 611289733, + -1, + 906651685, + 34338530, + 56903960, + 172728035, + -1, + 677174034, + 720510999, + -1, + 532812790, + 558544007, + 250311552, + -1, + 743370004, + 817343011, + 897404721, + 729067484, + -1, + 531279515, + 614982768, + 163266355, + -1, + 441510668, + 115952376, + 128495660, + 558378025, + -1, + 586508197, + 683821818, + -1, + 10102929, + 774139177, + -1, + 996379767, + -1, + 871906981, + 838911567, + 819686090, + 924538482, + 995350100, + 794853270, + 33409698, + 960930755, + 742439212, + 761968882, + -1, + -1, + 122500018, + 392212852, + -1, + -1, + 778767410, + -1, + 3613510, + -1, + 567560423, + -1, + -1, + 530436717, + 469995521, + -1, + 298207171, + 135234039, + 848673718, + 404597117, + -1, + 422163241, + 241536212, + 388619804, + 681692692, + 624968344, + 874084508, + -1, + 851687607, + 510530613, + 293048904, + 665127202, + 285542826, + 579617098, + -1, + 76626908, + 287633440, + -1, + 106719480, + 115615541, + -1, + 861543470, + -1, + 978455136, + -1, + 499364672, + -1, + 145190083, + 331390665, + -1, + 552168651, + 91164253, + 650026599, + 981455430, + 439337962, + 569187910, + 58889432, + -1, + 975468641, + 882457702, + 519123497, + 596119811, + -1, + 436517798, + 979357521, + -1, + 908573015, + -1, + 666888184, + 842864103, + -1, + 878926589, + 233779215, + 234670546, + -1, + 291588264, + -1, + 804414386, + 947095866, + 483329547, + 79472516, + 563551056, + 205002722, + -1, + 581439295, + -1, + 482282858, + 567263445, + 454051559, + -1, + -1, + 491060395, + 403942741, + -1, + 688409965, + -1, + -1, + 539342839, + -1, + 431492793, + 235040641, + 679306912, + 306758478, + -1, + -1, + 392110460, + 366959932, + 235885516, + 368170472, + 844128705, + 457214958, + 619267714, + -1, + -1, + 200140092, + 814350752, + -1, + 61393142, + 858526007, + -1, + -1, + 161194403, + 880485489, + 702382915, + 76849231, + 283900857, + 430380231, + 707784391, + 365362179, + -1, + 988501785, + -1, + 7262414, + -1, + -1, + 106122788, + 115605055, + 215656364, + 344713525, + 471931077, + 472337292, + 754537572, + 338611574, + 719666938, + 118149097, + 209160073, + 893557260, + 125153003, + -1, + 693405375, + 71208218, + 317756856, + 621706958, + 794993606, + -1, + 497409028, + 225219397, + 944572589, + 65075217, + 107683772, + 215606594, + 134293345, + 245057566, + 799169292, + -1, + 57904578, + 842964357, + 947176930, + -1, + -1, + 235415780, + -1, + -1, + 181666587, + -1, + 891403633, + 889617009, + 532828211, + 528671996, + 539403272, + 809007455, + 400037165, + 444197038, + 155117162, + 179764373, + 213401981, + -1, + 917443984, + -1, + 256262436, + -1, + 891528463, + 102503422, + 931269875, + 230590914, + 708393923, + 795437145, + 291068164, + 499723434, + 992466908, + 99310382, + 776965361, + -1, + -1, + -1, + 564465162, + 198831586, + -1, + -1, + 767400137, + 372715020, + 535466402, + -1, + -1, + 666619734, + 705942424, + 228776214, + 544157735, + 748363181, + -1, + -1, + 258748369, + 99864883, + 587105358, + 519900339, + -1, + -1, + 399423030, + 688776923, + -1, + 755388874, + 847306226, + 392268217, + -1, + 519989321, + -1, + 446054721, + -1, + 543139193, + 951341310, + -1, + -1, + 181507649, + 144589068, + 98509048, + -1, + 415616492, + 394817062, + 301768418, + 148135930, + -1, + -1, + 572273327, + 534869368, + 779108494, + 769529622, + -1, + 869166196, + 845248224, + 307106457, + 953214252, + 359391649, + 421779075, + 494213463, + -1, + 929547967, + 202571450, + 285365033, + 367297707, + -1, + -1, + 421146113, + 98933977, + 905409724, + 344929764, + 840496154, + 202493435, + 51561340, + -1, + 98232385, + -1, + 833858842, + 481415429, + 136517371, + 403616123, + 183643887, + 120518867, + 498716983, + 81849161, + 387724348, + 681079040, + 563892658, + 350538447, + 390134954, + 358794173, + 625281143, + 131656758, + 472988519, + 356830308, + 35237471, + 28239224, + 340233047, + 55101236, + -1, + -1, + 569993474, + 621113499, + 412445644, + -1, + -1, + 916291999, + 705126856, + 34612081, + 898346721, + 117372269, + -1, + 393625633, + -1, + -1, + 971008739, + -1, + 853387268, + 720446905, + 690398439, + 188642341, + -1, + -1, + -1, + 537740479, + 124133896, + -1, + 769414746, + 158961654, + 617454589, + 240316297, + 261455007, + -1, + 964784394, + 585197143, + 102540995, + 693522905, + -1, + 353358523, + 863845145, + 492546702, + 398915301, + 547739456, + 789392219, + -1, + 935614514, + 343504060, + 555000076, + -1, + 450840718, + 634173552, + 100191937, + 976206436, + 959883089, + -1, + 49522929, + 166705943, + 299222469, + -1, + -1, + 599377222, + 827545748, + -1, + 262283189, + 503992514, + 150340004, + 117878026, + 343682633, + 924727121, + 934812800, + 178203440, + 531463748, + 228216576, + -1, + -1, + -1, + 533352545, + -1, + -1, + -1, + 906926780, + -1, + 526124773, + 989358140, + -1, + 500948981, + -1, + 384972637, + 985031935, + 39920495, + 953716412, + -1, + 807649576, + -1, + 957606363, + 279011996, + 990117503, + 815855758, + 373868904, + 162572917, + -1, + 666455135, + 943961841, + 659733374, + -1, + 249072893, + 284193552, + 356291272, + -1, + -1, + 320242010, + -1, + 100787781, + 109227089, + -1, + -1, + 420672061, + 749909875, + -1, + 673598275, + 550089193, + 584746049, + 722533817, + 793519392, + 420525521, + 295730918, + -1, + 339088597, + 166359369, + 861425016, + 511300402, + 739558765, + 971370116, + 938952601, + 631989742, + 573504558, + 901203408, + -1, + -1, + 145532395, + 975116424, + 883854473, + 807699103, + 139485530, + -1, + 661261037, + 733478305, + 119810759, + -1, + 786614437, + 781280851, + 9755162, + 447584002, + 366415178, + -1, + 158902336, + 188467506, + -1, + -1, + -1, + 257198024, + 539542077, + 515378102, + -1, + 294687890, + -1, + -1, + 509606760, + -1, + -1, + -1, + 428388053, + 729587698, + 745191466, + 560647327, + 414607278, + -1, + -1, + 668861670, + 713203995, + 78936742, + 844047404, + -1, + 536436286, + 290215446, + 573469179, + 90866254, + 305848729, + 930225540, + 378781410, + 389254454, + -1, + -1, + 573275340, + 562587591, + 249929047, + -1, + 447200307, + 533646948, + 406490723, + -1, + 681156986, + 542317419, + 798587794, + 786677373, + 519149164, + -1, + 484251400, + 176086969, + -1, + -1, + 944743872, + 548391053, + 569943678, + 995050912, + -1, + 835745274, + -1, + -1, + -1, + -1, + 840380319, + 987517088, + 899627215, + 470342657, + 373418252, + -1, + -1, + 886109332, + 525248712, + 138455588, + 756218857, + 406727771, + -1, + -1, + 948411434, + -1, + -1, + 469226798, + -1, + 849796876, + 325394356, + -1, + 661003183, + 193093068, + 243014327, + 853959023, + 656291485, + 296345942, + 11526432, + 769465527, + 615421824, + -1, + 332834172, + 972611418, + 162332447, + -1, + 915251974, + 746156690, + -1, + -1, + 980946961, + 778191606, + 340133257, + 654498619, + 239595957, + 127275532, + 557415708, + 879565658, + 627522932, + 232212195, + 317908998, + 392582158, + 967370699, + 888555390, + 874344084, + 619385399, + 213904963, + -1, + 200555249, + 936128014, + 59569003, + 302893607, + 486963154, + 831825651, + 510576740, + 994299260, + -1, + 699949312, + 608996693, + -1, + 274305556, + 614395114, + 914823801, + -1, + 799482176, + 828220902, + -1, + 113330190, + 511318888, + -1, + -1, + 861329868, + -1, + 463233335, + -1, + 246533399, + 744621477, + 27322054, + -1, + 801436146, + 797032385, + -1, + 361713280, + -1, + 177034462, + 890076353, + 631735265, + -1, + -1, + -1, + -1, + 495654339, + 297080415, + 86079270, + 434774303, + -1, + 665723101, + 341473728, + 447677763, + 254347616, + 237566717, + -1, + 668597065, + 777824978, + 87201009, + -1, + -1, + 1940802, + -1, + -1, + 501863784, + -1, + 421259380, + 853204308, + 500373088, + -1, + 629196488, + -1, + 868536852, + -1, + 101202069, + 296984722, + 41978691, + 778859888, + 177143015, + -1, + 91223957, + -1, + -1, + -1, + 309452475, + 943657572, + -1, + 902173868, + -1, + -1, + 815433378, + -1, + 92419894, + 548371169, + 996311114, + 344193199, + 779610756, + 822342831, + -1, + 582291929, + 286064305, + 590965375, + -1, + 576848676, + 888984950, + 967310138, + 357816905, + 958209979, + 610459099, + -1, + 613021390, + 43080574, + -1, + 432116637, + -1, + 991458894, + 560399548, + 321931468, + 988290038, + 11329290, + 122011591, + 127999927, + 979261450, + -1, + 634139089, + 629509351, + -1, + 519988102, + 933359446, + 625745416, + 340016434, + 185515787, + 294566111, + 903413029, + 989761424, + -1, + 92960500, + -1, + 83923904, + 510420499, + 963211655, + 598880309, + 746863499, + -1, + 149433195, + -1, + 271147146, + -1, + 983642854, + -1, + 303675305, + 227786496, + 549450025, + 224877026, + 282833326, + 5107065, + -1, + -1, + 949275185, + -1, + 467119792, + -1, + -1, + -1, + -1, + 115866098, + 623399807, + -1, + 572938608, + 18727483, + 995827073, + 783810845, + -1, + -1, + -1, + 963162449, + 304698002, + -1, + 982974648, + 724458950, + 827979794, + -1, + 519878761, + 283721413, + 846396712, + 668459860, + 664718292, + 308190837, + 411710410, + 481561478, + -1, + 325395237, + -1, + 479745418, + 237158968, + 447642481, + 193131713, + 566141520, + 452637778, + -1, + -1, + -1, + -1, + 215979183, + -1, + 358801913, + 73723136, + -1, + 768493292, + 257776876, + 26410218, + -1, + 997713837, + -1, + 850361459, + 212971173, + 675750162, + -1, + -1, + 555670972, + 900811823, + -1, + 605845396, + -1, + -1, + 298475088, + 19432039, + 954511248, + -1, + 993025950, + 259828262, + -1, + 597435849, + 273012006, + 821850117, + -1, + 920555865, + 61277528, + 806043267, + 551350316, + 466053508, + 107416110, + 413423945, + 172375647, + 495482144, + 405883929, + 634518113, + 166464667, + 504658120, + 583702389, + 122456605, + 983604481, + 790777876, + 378432235, + -1, + 865774607, + -1, + 277101566, + -1, + 677292655, + 882340982, + -1, + -1, + 221979832, + 345947858, + 658361238, + 758761018, + -1, + -1, + 480421689, + 656716468, + -1, + 36847950, + 292136503, + 321250559, + -1, + 808997174, + 352037797, + 32243827, + -1, + 271842430, + 697920770, + 853976280, + 498555504, + 788838219, + 624403629, + 903357352, + 226496201, + -1, + 597949784, + -1, + 484421027, + 964360233, + 800942241, + 797709965, + 561925652, + 610830414, + 83269884, + 680294707, + 395892919, + 809031011, + 789953202, + -1, + -1, + 746397092, + -1, + -1, + 286800283, + 974398133, + 552922579, + 422424692, + 861978691, + 318248821, + -1, + 479417976, + -1, + 395672315, + -1, + 319990764, + 668382533, + 878099742, + 613832297, + -1, + 606841766, + 254544944, + -1, + -1, + 307688704, + 705332371, + -1, + 310592108, + 692387098, + 93936952, + -1, + 945080261, + 74881999, + 32973584, + -1, + -1, + 651877680, + -1, + 706456649, + 254606443, + -1, + 618659215, + 690956361, + 937267707, + 847610709, + -1, + 669068987, + 560615094, + 511238952, + 246900240, + 594410989, + 328689217, + 730426215, + 955137422, + 343181517, + 6428788, + 833414450, + 210653359, + 655728929, + 726611075, + 766171567, + 399190678, + 320788798, + 134957167, + -1, + -1, + 244157108, + 799671072, + -1, + 569190665, + 567359218, + 571190186, + 748248492, + 191302015, + -1, + -1, + 54364420, + 472792379, + 173536420, + 710459513, + -1, + -1, + 905747613, + 988895949, + -1, + 855819448, + -1, + 951086801, + 887470328, + 579586689, + -1, + 843543812, + 642309949, + 806886326, + 853716791, + 582749856, + 565029473, + 165683100, + 913509103, + -1, + -1, + 545120850, + 364043239, + 207771037, + 800991414, + -1, + 479332634, + 931358084, + 98618050, + 345018579, + -1, + -1, + 822503716, + 463785917, + 386666571, + 572437347, + 221734280, + -1, + 132340129, + 434882452, + -1, + -1, + 354308075, + 359925881, + -1, + -1, + -1, + 272396166, + 63788518, + 557265754, + 7942174, + -1, + 20839564, + -1, + -1, + 234840220, + 917551912, + -1, + -1, + 911648039, + -1, + 623056909, + 509529149, + 649099922, + -1, + 199947586, + 320360151, + -1, + 784860221, + 227630917, + 959697980, + 380110647, + 160781614, + 975225458, + 770655652, + 741004711, + 412960158, + 497912100, + 539061036, + -1, + 593714100, + 728228249, + 964135203, + -1, + 149139547, + 222556860, + 407968797, + 511751155, + 943200586, + -1, + 866780401, + 345019122, + 249582903, + 229540768, + 680834706, + 652358010, + 400165613, + 466204699, + 71527854, + 857542444, + 55460840, + 608446336, + 129140583, + 77490631, + 124255522, + -1, + -1, + -1, + 481522648, + -1, + 557186666, + 726629627, + 935206348, + 482771743, + 706034829, + -1, + -1, + 965217656, + 145084189, + 979153325, + -1, + 264735373, + 40095286, + 277711973, + -1, + -1, + -1, + 715598701, + 58533252, + 194232952, + -1, + 430219664, + 408942510, + -1, + 870714247, + 326346530, + 692201905, + 410994592, + 126927007, + -1, + 542063794, + 581545448, + -1, + 81533648, + -1, + -1, + 353945923, + 297856721, + -1, + 309055956, + 403204532, + -1, + -1, + 318863372, + 901779075, + 379423541, + -1, + 497786397, + -1, + 562653521, + -1, + 570373272, + -1, + -1, + -1, + 89679634, + -1, + 784768217, + -1, + 917958655, + 16791275, + 125493143, + -1, + -1, + 256558115, + 764932463, + 466471810, + 120516725, + 614624269, + 63564186, + 326612565, + -1, + 95905532, + 164085654, + -1, + 150900318, + 876661305, + 777562647, + -1, + 6321843, + -1, + 516048817, + -1, + 326439867, + 202443929, + 919482593, + 712209891, + -1, + 381827216, + -1, + 890259671, + 536850506, + 322772412, + 9729709, + 239117175, + -1, + -1, + 414977800, + 960516751, + 764816552, + 388308067, + -1, + 364676635, + -1, + 235758174, + 451747729, + -1, + 492934432, + -1, + -1, + 59390094, + 259903734, + 568620792, + -1, + -1, + 625982990, + 986191931, + -1, + 561798350, + 940935439, + -1, + -1, + -1, + -1, + 187175722, + 533900160, + 652544968, + 954046036, + 905717319, + 201635818, + 621990764, + 337025683, + -1, + 997905076, + 895631626, + -1, + -1, + 902994915, + 120944655, + 379068983, + 720985273, + 558950430, + 661109558, + -1, + -1, + 217692359, + -1, + 900256698, + 69905888, + -1, + 11537081, + 261265435, + 9600264, + 31728421, + 11011124, + 553006002, + 196392787, + -1, + 927191413, + 292897432, + -1, + 435591003, + 773604430, + -1, + 880466718, + 37903729, + -1, + 633336484, + 190317941, + 93877627, + -1, + 791681868, + 463944803, + 692257190, + 589957761, + -1, + 773731179, + 154241333, + 771487518, + 491627876, + -1, + 782842169, + 281258490, + 904753605, + -1, + -1, + 219609925, + 66953602, + 137315255, + 450346435, + 703443553, + 139520353, + 932253014, + 892304045, + 901749781, + 478217568, + 414859386, + 39976967, + 472870161, + -1, + 868254652, + 112239590, + 583777287, + 837571479, + 465575835, + 839616203, + 609043809, + 157986266, + -1, + 62434081, + 719076153, + 350989271, + 774640453, + 471200579, + 558855354, + 462050704, + 934182071, + -1, + 168414043, + -1, + 517269746, + -1, + -1, + 37698812, + -1, + 226648902, + 560389785, + 20730726, + -1, + 781393399, + 497523711, + 969739423, + 388037662, + 324499732, + 140498308, + 841434185, + 502905162, + 969002053, + -1, + 245151024, + 24628557, + 994668384, + 368242441, + 667442853, + -1, + 237196677, + 340407342, + 117616927, + 372899577, + 493173392, + 459676334, + 806511126, + -1, + -1, + 744748165, + -1, + 374823788, + -1, + 860449662, + 564054253, + 468944449, + 643693839, + -1, + 162561533, + -1, + 892590688, + -1, + 201217932, + 178391072, + -1, + 687356100, + 137364590, + 224207418, + 220627236, + 961750986, + 890522463, + 301589578, + 760099370, + 106021857, + 366853958, + 697142420, + 501284123, + 860563764, + 431465637, + 126360364, + 350819602, + 658055041, + 757532784, + 261187129, + 374705883, + 98336587, + 185930184, + 920333084, + 648296040, + -1, + -1, + -1, + 896499336, + 776020492, + 51478585, + -1, + 439368192, + 91313789, + -1, + 257496190, + 99828903, + -1, + 429299803, + 776622409, + -1, + -1, + -1, + 858365058, + -1, + 252746133, + 457603678, + 942021662, + 816902370, + -1, + -1, + -1, + -1, + -1, + 634981823, + 860288753, + 602406349, + 647543021, + 848406481, + -1, + 103017530, + 320136682, + 429310722, + -1, + 629795649, + 423980764, + 875012066, + 501517236, + -1, + 495224369, + 399444247, + 598263660, + 347985241, + 321741564, + 85783594, + 294296650, + 72696711, + 50418894, + -1, + 616951136, + 901618461, + 665117179, + -1, + 581989543, + -1, + 97854701, + 329536051, + -1, + 80670154, + -1, + 15360697, + 902615193, + 840091390, + 334492488, + -1, + 135077038, + 956613786, + 271383421, + 899034474, + 380897595, + 911866576, + 406051891, + -1, + -1, + 405795113, + 424373853, + 213589957, + 954664740, + -1, + 368625114, + -1, + 471964567, + -1, + 721035714, + -1, + 910029411, + -1, + -1, + -1, + 55948376, + -1, + 671958698, + 795041456, + -1, + -1, + -1, + 900628261, + -1, + 765322604, + -1, + 15435960, + -1, + -1, + 629664115, + 958324951, + 547454249, + 882235854, + 664647189, + -1, + 346815293, + -1, + 895627157, + -1, + 189591336, + -1, + 281674385, + -1, + 289931031, + 425851138, + 824924332, + 181106124, + 648466468, + 855020540, + -1, + 642792851, + 656904690, + 399640194, + 396718844, + 173773998, + 46538455, + 254513423, + 232666542, + 41033531, + 397840977, + 374621412, + -1, + 309923245, + 562561126, + -1, + 920555831, + 993819995, + -1, + 844837163, + 838007865, + 125270740, + 501044267, + 143132077, + -1, + 741901018, + 636330561, + -1, + 337910781, + 857529123, + 589997771, + 366622060, + 941512581, + 294498457, + -1, + 228437248, + 110622196, + -1, + 793891191, + -1, + 87526755, + 685705170, + -1, + 40570820, + 406013244, + 653771762, + 184974114, + 184514938, + 181484529, + 991106888, + 390947957, + 908283312, + 713440518, + -1, + -1, + -1, + 31333684, + 8393506, + 470229750, + 885122174, + -1, + 349079919, + 275590926, + 931046610, + 820166229, + -1, + 829229416, + -1, + 615395936, + 475196273, + 313504818, + -1, + 256811596, + 119953787, + 558277472, + 703434453, + -1, + -1, + 558501159, + 807324497, + 899969190, + 108147163, + 237683792, + 317904253, + -1, + 651741631, + 692931735, + 840494674, + 85947232, + 401565186, + 257534634, + 171066778, + 417616332, + 54872088, + -1, + 938199136, + -1, + 18512952, + -1, + -1, + 275911739, + -1, + -1, + -1, + 33254324, + 565469661, + -1, + 614899491, + 222384379, + -1, + -1, + 872829788, + 341644254, + 549659252, + -1, + 585868018, + 17036584, + 245469648, + 274900312, + 934240474, + -1, + 474761319, + 322954866, + 452140604, + 460046324, + -1, + -1, + 420659311, + -1, + 572137350, + 300499938, + 765494435, + -1, + 893637630, + 733339471, + -1, + 781241406, + -1, + -1, + -1, + -1, + 958265370, + 503000327, + 828723821, + 302400774, + 425398873, + 908627353, + 203323774, + -1, + -1, + 139492654, + 757267306, + 647865941, + -1, + -1, + 125522370, + 773869631, + 749458554, + -1, + -1, + 979814536, + 518077186, + -1, + 539851797, + -1, + 509601996, + 787672937, + -1, + 333176222, + 136238478, + -1, + 594582843, + 454049768, + 211026034, + 389149714, + 522638489, + -1, + 790786304, + 74065933, + 372301581, + 532102170, + -1, + -1, + 171556172, + -1, + 672655817, + -1, + 77712156, + 946549451, + -1, + -1, + -1, + -1, + -1, + 828463834, + -1, + -1, + 545165752, + 652931582, + -1, + 880235214, + -1, + 438475291, + 405814479, + 683114622, + -1, + 869910730, + 958527909, + -1, + -1, + 339982225, + -1, + 694993051, + 282232265, + 470073358, + 433111440, + -1, + 768242453, + 80869756, + 513584375, + -1, + 929468944, + -1, + 623722491, + 67932446, + 466099495, + -1, + 168813453, + 605282534, + -1, + 397273535, + 343953468, + 566954923, + 225180825, + 340255066, + 116403954, + 857199065, + 738728141, + 205420189, + 767607189, + 64493985, + 240025439, + -1, + -1, + -1, + -1, + -1, + -1, + 740969059, + 357490213, + 680978092, + 422439246, + 513147592, + 512244152, + -1, + 900953256, + 546833622, + 595290894, + 82592421, + 989389017, + -1, + 597919745, + 404321873, + 510683508, + 402483301, + 393423259, + -1, + -1, + 774627276, + 951931259, + 336126167, + 586761571, + 643225082, + -1, + 507904716, + -1, + 50650812, + 781355534, + 333366687, + 970375558, + 9767391, + 113505247, + 861947476, + 227800449, + 513720916, + -1, + 512389618, + 68584438, + 800507320, + 360437803, + 976312936, + 96694759, + 956760337, + 141395996, + 18504942, + -1, + 561645517, + -1, + -1, + 220042681, + 124093832, + -1, + 862307055, + -1, + 12139420, + 198256469, + -1, + -1, + -1, + 349580610, + 35255104, + 644125981, + 370788485, + -1, + 353174955, + 586670942, + 756857187, + 902934729, + 175789327, + -1, + 431220961, + 950231416, + 654746200, + 606446718, + 939428771, + 925488651, + -1, + 633372669, + 268156616, + 116217454, + -1, + -1, + -1, + 264830219, + 432487424, + 394174904, + -1, + 169078373, + 102185439, + 984687690, + -1, + 113817831, + 464815749, + 465112891, + -1, + 417054299, + -1, + 387119832, + 707452388, + 958295368, + 314672370, + -1, + 704651940, + 165547237, + -1, + -1, + -1, + 362432138, + -1, + 150097258, + -1, + 253100801, + 330455267, + 476415493, + 985276618, + 536548634, + -1, + 271711031, + -1, + 707098173, + 830628702, + 264967390, + 20426719, + 558396452, + 351423016, + -1, + -1, + -1, + 954653420, + 672485490, + -1, + 467302976, + -1, + 365087151, + -1, + 859103201, + 930431380, + 104565783, + 665668485, + 148596494, + 337245300, + 328496591, + 889653, + 18026234, + -1, + 644356727, + 790044556, + 166421933, + 247116761, + -1, + -1, + 63910059, + 837319421, + 813043575, + -1, + -1, + 122273038, + -1, + 249182238, + 782449131, + -1, + 701349602, + -1, + 855520700, + -1, + 67626530, + -1, + 697716845, + -1, + -1, + 330464466, + 157486740, + 718706183, + 332881823, + 195784285, + -1, + 697949682, + -1, + 763761462, + 604898833, + -1, + 14381875, + -1, + 809531048, + 434528990, + 79849328, + 867274373, + 382066455, + -1, + 243607755, + -1, + -1, + 721410237, + 842811368, + 102723409, + 733712791, + 162516181, + 469749105, + 430323039, + 397526379, + 897651544, + 787174812, + 71228886, + -1, + 847810869, + 405700376, + 746884206, + 189807925, + 450593296, + -1, + 735932492, + 740476702, + -1, + -1, + 164347772, + -1, + 973634248, + -1, + 585859668, + 913707280, + -1, + 154823914, + 758270502, + 647642088, + 892984019, + 275064562, + 282656476, + 95509680, + -1, + 255421675, + 730353418, + -1, + 331196918, + 505575985, + 814832154, + 630245138, + 146126431, + 206808751, + 829595613, + 845497580, + 351723820, + -1, + 926535336, + 72908889, + 737997026, + 895794944, + -1, + -1, + 592023527, + 981681628, + 999170494, + 567493399, + -1, + 632734831, + -1, + 444693756, + -1, + -1, + -1, + 705638094, + -1, + 315690622, + 565431031, + 724271473, + 823354905, + 442592657, + 687655007, + 280433418, + -1, + 734366561, + -1, + 743792473, + 877826359, + 73455831, + 165005863, + 58812256, + 709296028, + -1, + 865658728, + 479927554, + 740965211, + 116935280, + 608008639, + -1, + -1, + 448288804, + 821233659, + -1, + 809992440, + -1, + -1, + 858340961, + 147116087, + 783718605, + 268099790, + 340599106, + 127325439, + 635381379, + -1, + 944773437, + 638380307, + 819725755, + 99457080, + 579532073, + 521261935, + -1, + 165147945, + 177611512, + -1, + -1, + 170363612, + 985844990, + 46429557, + 516171471, + 378289446, + 943671438, + 468856326, + 502349403, + -1, + 556285678, + -1, + 255342956, + -1, + -1, + -1, + 290146477, + -1, + 693790432, + 10561559, + 814103478, + 644211672, + 552492417, + -1, + 747973588, + -1, + -1, + 525515516, + 177885503, + 913444888, + -1, + 349630084, + 671656430, + -1, + 405080713, + -1, + 839220394, + -1, + 86702637, + -1, + 370484746, + 53601006, + 665114279, + -1, + 748091015, + -1, + 12147084, + 250142485, + 899888311, + 88122177, + 627347926, + -1, + 387919807, + -1, + 193524600, + -1, + 309833172, + -1, + 965718276, + 69315127, + 237628670, + -1, + 601114547, + 449327942, + 584055241, + -1, + -1, + 574365710, + -1, + -1, + 304130412, + 330286503, + 258680433, + 472242942, + 423218916, + 573838448, + -1, + 791172658, + 561853876, + 135003059, + -1, + -1, + -1, + -1, + 56768944, + -1, + 124779256, + 725803483, + 493260232, + 131113485, + -1, + 371743169, + -1, + 913076725, + 410182785, + -1, + -1, + 676308427, + 777589507, + -1, + 947049002, + 109609853, + -1, + -1, + 47265214, + 795191600, + 510705612, + -1, + 237560951, + 587964805, + 227147837, + 442177084, + 920501776, + 207394320, + 73864002, + -1, + 360734520, + 492483214, + 805158020, + 205211390, + 920801044, + 371119634, + 372903153, + 150545506, + 455770364, + 922637921, + -1, + 185938159, + 151297544, + -1, + 264591920, + 227150630, + 613480586, + 586274351, + -1, + 130089681, + 882101451, + 809488966, + 99958827, + 63419045, + 426053714, + -1, + 551474610, + 512668352, + 806472749, + -1, + 276663804, + 905521428, + -1, + 978566751, + 188376603, + -1, + -1, + 960681925, + 323471191, + 617761549, + 787722668, + 818739676, + 501534873, + 215526730, + 323554011, + 374384564, + 714649289, + 755027099, + 585497695, + 768700733, + -1, + 498832361, + 641244689, + -1, + 519653839, + -1, + 621717290, + 367736564, + 404912107, + 575777792, + 170095460, + 479358275, + -1, + 759346029, + -1, + 753938323, + 994744210, + -1, + 322926333, + 470962739, + -1, + 164963943, + 12207335, + 545355011, + 981243455, + 747994410, + 374813674, + 77882329, + 572070361, + -1, + 64032103, + 520082363, + -1, + 846501573, + -1, + -1, + 464812209, + 270726840, + 635356664, + 965382370, + -1, + 754017192, + -1, + 270219426, + 732893469, + 785816941, + -1, + 134787929, + 838422660, + 564382736, + 109788768, + 235716583, + 898399964, + 741380445, + 258245801, + -1, + 803192780, + 675231590, + 831646148, + 69239862, + 31687335, + 504118767, + 345752967, + -1, + -1, + -1, + -1, + 737684910, + 334784705, + -1, + -1, + 961252159, + 152921404, + -1, + 730770962, + 277055394, + -1, + -1, + -1, + 415261347, + -1, + 139679426, + 46964685, + -1, + 49227266, + -1, + 191631019, + 323258855, + 315459571, + 858128412, + 771142389, + -1, + 599234837, + 930422348, + 712662191, + 566895722, + 701675131, + 821536004, + 314652825, + 703425914, + 600090529, + -1, + 901306479, + 588927643, + -1, + 681746693, + -1, + 139979009, + 837317899, + -1, + 58835545, + 204168224, + 416231226, + 737428765, + 791613120, + 371853340, + -1, + 551318189, + 869475599, + 589556469, + 364977765, + -1, + 598715363, + 114510342, + 298829697, + 718222875, + -1, + 36246069, + 951992598, + 539685956, + 388223773, + -1, + 777335489, + 401274840, + 583508058, + -1, + 994851558, + -1, + 205177218, + 978599468, + -1, + -1, + 876843112, + -1, + -1, + 4580649, + -1, + -1, + -1, + 303684754, + -1, + -1, + 691813808, + 961315555, + 466655037, + 765877288, + 926638821, + 805511353, + 961344874, + -1, + -1, + 851163490, + 192557168, + 656512897, + 376672484, + -1, + -1, + 546309450, + 743796656, + 284233393, + -1, + 707349214, + 285040997, + 557394236, + 68050543, + 664550193, + 102886068, + 855793416, + 581618954, + 788419838, + 297244051, + -1, + -1, + 144494381, + 368772835, + -1, + 390487993, + 741700450, + -1, + -1, + 403567159, + 811757623, + -1, + 170293548, + 319663379, + 572708561, + 18843410, + -1, + 35015359, + 961893096, + 959073532, + -1, + 315149388, + 815970750, + 629152403, + 6925706, + 990970554, + 211205972, + 681691515, + -1, + 257753876, + 547987256, + -1, + 169866124, + 788128862, + 641566438, + 379839858, + 558827233, + 181920557, + 320152717, + -1, + 174449272, + -1, + 696642099, + 940352867, + 911868889, + -1, + -1, + 72366205, + 349587766, + 484564201, + 416359507, + 945160910, + 445079975, + 563798992, + 774947543, + 112611128, + -1, + 944853417, + 836921612, + 105383444, + -1, + -1, + 26144217, + 353431079, + -1, + 33125179, + 822069766, + -1, + 451812902, + -1, + 984736887, + 216824683, + 80963650, + 312358281, + 789693239, + 667863417, + -1, + 565102176, + 2679235, + -1, + 406898227, + 378737535, + -1, + 751768527, + -1, + -1, + 719483313, + -1, + 63952718, + -1, + -1, + 688945737, + 528504203, + -1, + 982955054, + -1, + 179523920, + -1, + 288474463, + 942932913, + -1, + -1, + 830276232, + 182674004, + 579727714, + -1, + 575409191, + 917073147, + -1, + 821377909, + 389370348, + 68391314, + 534648375, + -1, + -1, + 512804334, + 484672547, + 538472192, + 918683766, + 535331553, + -1, + 586803183, + 846112967, + 868044807, + 816330753, + -1, + 876980097, + -1, + 414301073, + 638338685, + 409951959, + -1, + 507982149, + 768862868, + 618774389, + 680858805, + 508851719, + -1, + 76104663, + 810702568, + 863911947, + 202197946, + 557920085, + 819202799, + 932284119, + 973415882, + 220095454, + 426739784, + 458335508, + 189229567, + 303010233, + 51125452, + -1, + -1, + 411302555, + 266104213, + 168240991, + 527121409, + 767472759, + 460260553, + 713298501, + 594215920, + 533352904, + 554443595, + 58982417, + 52732713, + 248244182, + 194920670, + -1, + 448936064, + 812161007, + 187347268, + 489977214, + -1, + 851349540, + -1, + -1, + 12613858, + 411681027, + 646998750, + 789082566, + 950543791, + 303983776, + 353494157, + -1, + -1, + 159624951, + -1, + 781106166, + 177985706, + 805472360, + 849629621, + 751674340, + -1, + -1, + -1, + -1, + 370054800, + 932737687, + -1, + 708895228, + 779648144, + 958524723, + 540118518, + 21462077, + -1, + 241461261, + -1, + 221895267, + -1, + 569612739, + -1, + -1, + 913017113, + 786959250, + 448342850, + -1, + 185245967, + -1, + -1, + 749960192, + 316978135, + -1, + 471938405, + -1, + 151350888, + 103161310, + 981225508, + 923173503, + -1, + -1, + 292035605, + 430811614, + 864575567, + 88520493, + -1, + 891950122, + 12620576, + 196944247, + -1, + 473214944, + 275429188, + 298659447, + 64792340, + -1, + 72053245, + 922828594, + -1, + 709467961, + 291993030, + 15109046, + 801738903, + -1, + -1, + 84987372, + 439540991, + 267017348, + 755432680, + -1, + 752446467, + -1, + 13890123, + 173025672, + 837787624, + 301509653, + 53458552, + 796428685, + 834382891, + 400925394, + 43634944, + -1, + -1, + 133615072, + 524300426, + 283868516, + 56209390, + 919408602, + -1, + 598897309, + 908875562, + 825665157, + -1, + 476292673, + 114314729, + -1, + 415832011, + -1, + 939544226, + 701562358, + 541998887, + 828113487, + 767013515, + -1, + 71033119, + 976511178, + 191964807, + -1, + 171153294, + 506740443, + -1, + 320287324, + 956226118, + -1, + 387861064, + 324411528, + 232513285, + -1, + 531947657, + 772633536, + 518972579, + 902799900, + 443045537, + 277677229, + 583822889, + 140075571, + -1, + 878358317, + -1, + -1, + -1, + 313846921, + 516691962, + 335694490, + 761816459, + 306591946, + 591301167, + 423152959, + 680077404, + 13717524, + 953368958, + 882173599, + 339804046, + 968761273, + 681242921, + -1, + 651285967, + 263079722, + 888983771, + 579586650, + 58236101, + -1, + 388591166, + 202645388, + 846128330, + 205583146, + 602081505, + 475913645, + 425965876, + 878449197, + 290181920, + -1, + -1, + 568424110, + 481756774, + -1, + -1, + 917117505, + 889486575, + -1, + 659292319, + -1, + 700862977, + 223070583, + 911340920, + 262798628, + 710471458, + 752616667, + -1, + 425608484, + 162710996, + 132041596, + -1, + 376418179, + 989743769, + 521031367, + 697354353, + 649924060, + -1, + -1, + 318203176, + 418247255, + 805739714, + 473915991, + 261174491, + 690277343, + 897664250, + 503904440, + 364957455, + -1, + 151274217, + 172511582, + 494356565, + 817278626, + 641025074, + -1, + 934275464, + 700715812, + 511827646, + -1, + 823232388, + 794319899, + 943332187, + -1, + 404756538, + 441866114, + -1, + -1, + 67876733, + -1, + 807686519, + 188587017, + 883087620, + 532388096, + 983091310, + 292606330, + -1, + 896635297, + -1, + -1, + 985969304, + -1, + 727444916, + 538185159, + -1, + 997267857, + -1, + 808460508, + -1, + 929189332, + 298027567, + 444904870, + 667680121, + 654504208, + 794783247, + 906945461, + -1, + 706784254, + 688323159, + 308008546, + 466016692, + -1, + 414225611, + -1, + 391572387, + -1, + 979990175, + -1, + -1, + 248943309, + -1, + -1, + 552431021, + 92722676, + 492262541, + 41543483, + -1, + 526120563, + 810778218, + 633830251, + 158322222, + -1, + 437804946, + -1, + 109731689, + 817060187, + 175832685, + 591135341, + -1, + -1, + -1, + -1, + 778695780, + 954569693, + -1, + 965224442, + 566624390, + 873146020, + 990486569, + -1, + 482529513, + 9916987, + 433584293, + 475640581, + 639301030, + 356645169, + 159675998, + -1, + 14915353, + -1, + 737206929, + 246025324, + 783733046, + -1, + -1, + -1, + 607499064, + 525557050, + 427814440, + 629377646, + -1, + 689035149, + 780742914, + 584529673, + -1, + 88220603, + -1, + 293092833, + -1, + 312683726, + -1, + 748131447, + 231015865, + 763801256, + 661158803, + 25201724, + 204711434, + 575049718, + -1, + 496060859, + 965055742, + 865009074, + 321456980, + 784377252, + 511762538, + 330561768, + -1, + 150468191, + -1, + 203608734, + -1, + 427818793, + -1, + -1, + -1, + 226363369, + 921737886, + -1, + 755015459, + -1, + -1, + 645930008, + 50717292, + 516799173, + -1, + 327419268, + -1, + -1, + 257044579, + 243456481, + -1, + -1, + -1, + 356621401, + 776709497, + 701816129, + 359817011, + 795552196, + -1, + 825873123, + 328694528, + 843620798, + 226131094, + 228846068, + 615847411, + 35079162, + -1, + 427935976, + 439731478, + 132232004, + 688721361, + 33561552, + -1, + 999898006, + -1, + 928395227, + -1, + -1, + -1, + 368945487, + 418548204, + 419475861, + 797132368, + 687912569, + 174867216, + 613966462, + 311562128, + 803623405, + 586908026, + 455327162, + -1, + -1, + 137696594, + 929641931, + 729006265, + 661208927, + -1, + 226432277, + 163334839, + 245686422, + 240052903, + 758525009, + -1, + -1, + 829050046, + 265991958, + -1, + 449826389, + 92372732, + 689098272, + 652409088, + 708968111, + 897296312, + 605749870, + 568729084, + 726330255, + -1, + 6723822, + 361002106, + 210935167, + -1, + 933903165, + 721482799, + 377069665, + -1, + 986620310, + -1, + 569824645, + 533405265, + 223075773, + 112403493, + 464913458, + -1, + 456630807, + 12425790, + -1, + 876293199, + 724748634, + 180486862, + -1, + -1, + 716901129, + -1, + 705550966, + 779134413, + 523220679, + 842896114, + -1, + 874921246, + 754238032, + 456474443, + 469130487, + 185041270, + 604475993, + 969493674, + -1, + 99664795, + 828050962, + 349980813, + 436313007, + -1, + 921031264, + 691694055, + 674265947, + 589067753, + 395432386, + 349126025, + 153542369, + 943723605, + 12146725, + 710105368, + 213474842, + 832219216, + 121873934, + 440987540, + 841265910, + -1, + -1, + -1, + 853224051, + 673980866, + 893003031, + -1, + 591584999, + 116609369, + 26369342, + -1, + 461334350, + 416189706, + 35511165, + 849835417, + 327115956, + 295973473, + 826524941, + 215498403, + 422646596, + 426042208, + -1, + 937414401, + 807664238, + 169764244, + 827390941, + 542957025, + -1, + -1, + 683374984, + 101677994, + -1, + 803641510, + -1, + 644915298, + -1, + 329306489, + 273648320, + -1, + 628862177, + 964521298, + 686376444, + -1, + -1, + 898179450, + -1, + 526009983, + -1, + -1, + 320233626, + 39111715, + 309000184, + -1, + -1, + 260861084, + 186442953, + -1, + 264204072, + -1, + 278824606, + -1, + 814891739, + 760301586, + 244281394, + 236659219, + 173033805, + -1, + -1, + -1, + -1, + 443737439, + 869852491, + -1, + 844588138, + -1, + -1, + -1, + -1, + 512613948, + -1, + -1, + 337292860, + -1, + 924935621, + -1, + -1, + 684992512, + 993578045, + 486912861, + 199708390, + 334955320, + -1, + -1, + -1, + 66082769, + 749589984, + -1, + 332482557, + 895976378, + 14595779, + 845796232, + -1, + 893238714, + 224971160, + -1, + -1, + 989304592, + 29863934, + 728385786, + 650664371, + -1, + -1, + -1, + -1, + 511766990, + 534903326, + 376290845, + 354967632, + -1, + 968151689, + 352464764, + 494385931, + 296940582, + -1, + 603744843, + 245946423, + 209595517, + 926122440, + -1, + 606360893, + 873331669, + 749005867, + 736550359, + 75589531, + -1, + 820556661, + -1, + 691096820, + 292103389, + -1, + 500052395, + -1, + 727328158, + 316138749, + 286569547, + 696291391, + 495654913, + -1, + 644055849, + 195976478, + 978192613, + -1, + 902561843, + -1, + 513537279, + 550962755, + -1, + 669548480, + 881761780, + -1, + 282350525, + 187269721, + -1, + -1, + 980550802, + 153735427, + 561854670, + 603156841, + -1, + 626202, + 697540583, + 878306569, + -1, + 390375754, + -1, + -1, + 365145238, + -1, + 993796846, + 240980126, + -1, + 74718422, + 898613374, + -1, + -1, + 456116658, + 621167093, + 19820743, + 263342982, + 78998295, + 263073878, + 427796820, + -1, + 369699784, + 626037178, + -1, + 66864766, + 751266744, + -1, + -1, + 459382902, + 334436772, + -1, + 34140221, + 574070926, + -1, + -1, + 753290170, + 530119159, + -1, + 803970936, + 150909518, + 432276089, + 732747700, + -1, + 432468490, + -1, + -1, + -1, + 673126790, + -1, + 72861581, + 32281154, + 845329689, + 424028122, + 914403259, + 695594598, + 409075338, + 237115773, + 34898196, + 565351777, + 482830093, + 443272041, + -1, + -1, + 424706678, + 222526927, + 729789026, + 241207070, + -1, + 796464963, + 948095392, + -1, + 88392243, + -1, + -1, + -1, + 636996758, + 976003069, + -1, + -1, + 387426821, + 615101870, + 625692879, + 862129187, + 466734916, + 425490910, + 703985498, + 462762102, + 35057851, + 650335653, + 362183385, + 881240039, + 784593187, + -1, + 564638694, + 460800118, + 451337226, + 795453362, + 274586907, + 724517984, + 522752637, + -1, + 410207630, + 452325342, + 342600088, + -1, + 726839213, + 434312267, + 269322629, + 709969677, + 29431528, + 793050471, + -1, + -1, + 513443024, + 61978179, + 122303840, + 269414481, + 745732544, + 710952422, + 519094380, + 637918867, + 697425429, + -1, + -1, + 252906517, + 602526400, + 802490613, + 511831290, + 738512447, + -1, + 856930257, + 918071526, + -1, + 491070962, + 891717290, + 762771692, + 716432629, + -1, + 521417246, + 759685617, + 319774880, + 935532321, + 175219718, + 123420694, + 758203985, + -1, + 835496208, + 462548870, + -1, + 616230308, + 518064167, + 552006852, + 972139500, + 258871739, + 775866656, + -1, + 442982771, + -1, + -1, + 396150838, + 661404308, + -1, + 824086907, + 762205176, + 265871035, + -1, + 854016829, + -1, + -1, + 684720570, + -1, + 47417999, + 962296037, + 350498201, + 143495395, + 558797848, + -1, + 479890022, + 728871198, + 415931576, + 973043223, + 387688770, + 993190412, + 291013844, + 553872696, + 250293862, + 362487939, + -1, + 661817361, + -1, + 66961188, + -1, + 733153063, + 410783849, + 621816881, + 209711704, + 464037264, + -1, + 615057084, + 481423768, + 618323889, + -1, + 515058813, + 922900304, + 927322969, + -1, + -1, + 139685430, + 260923050, + 394195293, + 896460080, + 446335428, + 884822791, + 914055802, + 390177059, + 552344980, + 877743993, + -1, + -1, + -1, + 221182087, + 527222004, + 303852886, + 576123608, + 314138149, + 57380647, + 27502712, + 576793011, + -1, + 824474878, + 780051073, + -1, + 781548236, + -1, + 50720088, + 63728106, + -1, + 495064135, + 446115273, + -1, + 190558545, + -1, + 146590757, + 401969010, + 923679207, + 646700956, + 81552187, + 685236080, + -1, + -1, + 438393525, + 68596797, + 751795188, + 882625436, + 459910030, + 181368416, + -1, + 580605091, + 454897461, + 281920229, + 885915935, + -1, + 478269743, + 117526308, + 853089270, + 641990859, + -1, + -1, + 756714046, + 526040934, + 21467967, + 891041629, + -1, + 273961647, + 66329771, + 809017990, + -1, + 857291123, + 91148850, + 901084647, + 891048727, + 841259793, + -1, + 265029047, + -1, + 721836575, + 633202586, + -1, + 198828532, + -1, + 381699609, + 878020947, + 153292637, + 179816828, + 386593931, + -1, + 360795012, + 242969916, + 729865678, + 596953386, + 214734901, + 22595417, + 799507173, + 429525723, + -1, + 791265238, + -1, + -1, + 353225195, + 822148335, + 64213705, + 139970970, + -1, + -1, + 217471824, + 563427830, + -1, + 58996004, + 790294712, + -1, + -1, + -1, + 28197193, + 969216489, + -1, + 720336768, + 971267163, + 978780387, + 369117934, + 35139368, + 730336724, + 222999734, + 423795834, + 666150019, + 911461167, + 239878111, + 449111781, + 618284805, + 887822334, + -1, + 966990682, + 240829990, + -1, + 871746507, + -1, + -1, + -1, + 138540032, + 250213138, + -1, + -1, + 782341877, + -1, + -1, + 285770868, + 434065079, + 421277848, + 956893026, + 255472344, + -1, + -1, + 945935311, + 104705656, + 535773133, + 401991610, + 218280141, + 586895090, + 388295413, + 466573168, + 423868595, + -1, + 892737772, + 96264294, + 678461296, + 390123109, + 754891842, + 69231781, + 312468838, + 821877596, + 80102092, + 688462410, + 431122117, + 953192117, + 720885315, + 208914565, + 31655486, + -1, + 797545604, + 283088341, + 896552540, + -1, + 909629609, + 424054513, + 593070187, + 667886527, + 983783009, + 813109724, + 705492936, + 469018326, + -1, + 80903325, + 953059442, + 648564909, + 344935298, + -1, + -1, + 469510889, + 195169084, + 655719713, + 24996282, + 829949804, + 456356990, + -1, + 554319017, + -1, + 682407804, + 462443906, + 722622899, + 162278002, + 966567438, + 143383154, + 964831524, + -1, + 291924228, + -1, + 245925310, + -1, + 671216177, + 121049300, + 702182251, + 756719169, + 464022155, + 445061561, + -1, + -1, + -1, + 910270626, + -1, + 822718989, + 621403415, + 775384126, + 26507106, + -1, + 955411282, + 600125237, + 558311648, + 75090617, + 303231297, + 415496724, + 804325815, + 296087625, + 225963554, + 622540298, + 548497794, + -1, + -1, + 978686829, + -1, + 187623499, + 710301853, + 573160269, + -1, + 558814201, + 870719651, + -1, + 739585275, + 276464605, + 434487032, + 962302130, + -1, + 802361546, + 433908484, + -1, + 555257567, + 720756788, + 103039546, + 369739710, + -1, + 17530420, + 114949071, + 758068481, + 633581360, + 936554442, + 847616086, + -1, + 135606350, + 546542386, + 60636448, + 639151118, + 15307924, + -1, + -1, + 710324237, + 678713165, + 381480451, + 554034763, + -1, + 947745270, + -1, + -1, + 728217957, + 816061694, + 256200464, + -1, + 539323402, + 412388857, + 152935505, + 46151353, + 872401426, + -1, + 927623532, + 528833075, + 483844989, + 439596339, + -1, + 481862890, + 954773003, + 310967305, + 529763845, + 64625841, + -1, + -1, + 849883814, + -1, + -1, + 199345513, + -1, + 393847594, + 535338972, + 608278058, + -1, + 471726209, + 576354040, + 441809720, + 206210228, + -1, + -1, + 369690430, + 544145404, + 501459118, + 806008089, + -1, + 880142696, + 505336524, + -1, + 491973988, + -1, + 598172277, + -1, + -1, + 553302945, + -1, + -1, + -1, + 954838418, + 282241073, + 237046505, + 602704853, + 439655335, + -1, + -1, + 498948269, + 608065963, + 607525053, + 523854014, + 163486107, + 182797769, + 645100304, + 195652312, + 230989657, + 741670945, + 197520635, + 241541208, + -1, + 177655709, + 923264472, + 361173725, + 149331481, + 254411116, + -1, + 415292636, + 271737890, + -1, + 730487803, + 10851741, + -1, + -1, + -1, + 706415711, + 661139220, + -1, + -1, + -1, + 347248082, + 682044752, + -1, + 214725045, + 761102224, + 887655763, + -1, + 497577524, + 774528245, + 384928081, + 345465622, + -1, + -1, + 60464670, + 416482676, + 474697951, + -1, + 240876017, + 815809379, + 587698720, + 599629596, + -1, + 742463608, + 591579095, + 276694486, + 431770300, + -1, + -1, + 383701831, + 407402573, + -1, + -1, + 9259802, + 499542664, + 4368291, + 959913486, + 619814191, + 281289379, + 372495058, + 64956504, + 340633962, + 302054672, + 574539469, + 384776663, + 702228319, + 747621250, + 753915979, + 195754535, + -1, + -1, + 861838556, + 377892582, + 437109016, + 999057696, + 613177880, + 46431928, + 183397581, + 394770605, + 632879195, + 292757261, + 471206420, + 233206527, + 182741513, + 145308504, + -1, + -1, + 183262226, + 399437642, + 374410749, + 261208286, + 973935289, + 617346386, + -1, + 168924977, + 546492114, + 265194485, + -1, + 740822710, + -1, + 102743663, + 20209030, + 24502209, + 288284011, + 976810837, + 363625078, + 437375941, + 119305609, + 659838351, + 634490436, + -1, + 929177964, + -1, + 954914671, + 909919445, + 278741355, + -1, + 707220203, + -1, + 504350654, + 820135076, + 816087417, + 699947994, + -1, + 287726652, + -1, + 432385189, + 847622926, + 301485238, + -1, + -1, + 770311913, + 785630424, + 757059713, + -1, + 937091919, + 235268977, + 445271291, + 203891469, + 395699887, + 399750528, + -1, + 939570894, + 108511299, + -1, + 317911326, + 356492422, + -1, + -1, + 66816092, + 135436534, + 164866084, + 293970532, + 706369523, + 648020913, + 580129234, + 71608441, + 588845409, + 612919718, + -1, + 372857750, + -1, + 723307883, + 725217633, + -1, + 98241237, + 439958060, + -1, + 839921711, + 1374485, + 235357016, + 476600661, + 528878130, + -1, + 40543792, + 223299081, + 742044422, + 178138228, + -1, + -1, + 749952536, + 393135446, + 303915261, + 607519932, + 623619428, + -1, + 596147356, + 466742951, + 996897802, + 9870925, + 78307263, + -1, + -1, + -1, + 501639544, + 352039298, + 135205328, + 13518813, + -1, + -1, + -1, + -1, + 783977368, + -1, + -1, + -1, + 428311373, + 382273161, + 547221850, + -1, + -1, + 370525895, + -1, + -1, + 540267159, + 725096556, + 256978861, + 246015689, + 992824421, + 365188093, + 97729325, + -1, + 136122827, + 920273181, + 830688230, + -1, + 383561489, + 812609563, + 635348210, + 929680005, + 79841578, + -1, + 267578608, + 86519851, + 166666004, + 349398904, + 875453394, + 576938742, + 775610201, + 325338307, + 81046438, + 720095248, + 477672282, + 292503761, + 788341037, + 604790831, + -1, + -1, + 591829779, + 535179850, + -1, + 331777125, + -1, + 720933302, + -1, + 333509745, + 599935293, + 501419117, + 119833568, + -1, + 441714809, + 637653247, + 246333406, + 183005854, + 279709242, + 145646378, + 628371634, + 160939105, + 696445066, + -1, + 204975651, + -1, + 93861109, + -1, + 532697282, + -1, + 148670470, + 908671432, + -1, + -1, + 929105273, + 290599444, + -1, + 179485301, + 810951110, + 302824398, + 63199100, + 570437034, + 452707331, + 24246173, + 585597430, + 107638244, + 640196948, + 929343670, + -1, + 350107874, + 753316867, + 441586460, + -1, + -1, + -1, + 172492160, + -1, + 755253457, + 765280078, + 868374270, + 301761825, + 796240139, + 199601223, + 891290819, + 906315294, + -1, + 681091829, + 276271314, + 510473430, + 816963967, + -1, + 80292691, + -1, + -1, + 935736897, + 287461314, + 759701465, + -1, + -1, + 547102372, + 528828942, + 439575417, + -1, + 638624583, + -1, + 595076736, + -1, + 937758409, + 526436760, + 880841430, + 260159028, + 825898012, + 592933485, + -1, + 609318958, + -1, + 997211022, + -1, + 136553222, + 280236548, + 504622901, + 272803906, + 669826727, + -1, + 353129961, + -1, + -1, + 752036003, + -1, + 137773098, + 779596726, + 581620714, + 38034677, + 769158106, + 60242055, + 203553443, + 344812406, + 821838866, + 368214673, + 292468318, + 850663975, + 838022052, + 902703124, + 180034441, + -1, + 657860865, + 971651424, + -1, + 367895166, + 82074877, + 465443239, + 419642551, + 258095072, + 942864252, + 514988292, + 888817228, + 164066464, + 714387703, + 618519138, + 775612215, + 67664574, + -1, + 757084222, + 534105978, + -1, + -1, + 483844291, + 645546991, + -1, + 359810929, + 836927782, + 808919506, + 303804669, + -1, + 858778351, + 732076280, + -1, + -1, + 759615634, + 630514180, + 949339024, + 593713202, + 73453421, + 960289123, + 974522492, + 397889095, + -1, + 372804748, + 465793639, + -1, + 31772129, + 476750014, + 554316719, + 524907600, + 118897149, + -1, + 823707886, + -1, + 956988978, + 939733530, + -1, + 260818383, + 820513580, + 855489656, + 177438827, + 381744709, + 363132543, + -1, + 167246516, + 223090159, + -1, + 90301434, + 181867626, + 857951957, + -1, + 65952872, + -1, + -1, + 546865480, + 366302085, + 97472784, + 421681915, + 167977751, + -1, + -1, + -1, + 933864047, + 670834678, + 389431648, + 358927094, + -1, + 573197555, + -1, + 513215812, + 363144369, + 672210000, + -1, + 244661180, + 439689655, + 52941512, + -1, + 846087717, + 931102777, + 568993456, + 19473803, + -1, + 929266332, + 110943627, + 107468816, + 525566691, + 785196532, + 36244517, + 446976872, + -1, + 499991532, + 700527028, + 605285595, + 153787258, + 709944404, + 558405483, + 32391546, + -1, + 684442513, + 553204756, + 988247053, + 108809271, + 104496450, + 234896871, + -1, + 407661092, + 595583913, + -1, + -1, + 825863571, + 539508606, + 977599588, + 666778797, + 834196421, + -1, + 660722194, + 536523246, + 437735350, + 988918936, + -1, + -1, + 824018659, + -1, + -1, + -1, + 261801832, + 552631243, + 509545234, + -1, + -1, + -1, + -1, + 683893853, + -1, + -1, + -1, + 34210973, + -1, + 374100925, + 640729998, + 759176453, + -1, + 644137723, + 580393488, + 266971804, + 844680449, + 333250446, + -1, + -1, + 892103048, + 409488377, + -1, + 73557382, + 857352134, + -1, + 16934492, + -1, + -1, + 827196779, + 127601340, + 854788452, + 607718195, + -1, + 525419921, + 646508120, + 841315088, + -1, + 803180790, + 7229514, + 66795386, + -1, + -1, + 87212590, + -1, + 995148427, + 323065261, + 218963367, + 950458063, + 39974672, + 691311088, + -1, + 859992453, + 163328636, + 609223384, + 620800523, + 82951460, + -1, + -1, + -1, + 619801115, + 769706620, + 42667073, + 122227996, + -1, + 917453609, + -1, + -1, + 48467601, + -1, + -1, + 234211471, + 56156511, + 688359446, + -1, + 821579747, + -1, + 358455020, + 863356231, + 800715047, + -1, + 234246317, + 346843681, + 200186068, + 842309770, + 497327835, + 129579314, + 907633693, + -1, + 176354943, + 688071852, + 952783612, + -1, + 539508723, + -1, + 320093381, + 193044568, + -1, + -1, + 52534603, + -1, + 362333949, + 325834511, + -1, + -1, + 145251847, + 50129190, + 600680532, + 303444790, + 803529878, + 521505992, + 403324397, + 148959715, + 246706267, + 760492389, + 823238231, + -1, + -1, + 870329613, + 747571261, + 708326488, + 704433266, + 355013187, + 509654982, + 715200657, + 927657456, + 753587337, + 231672868, + 86266696, + -1, + 721882080, + -1, + 901233676, + 536046455, + 667854253, + -1, + 321270735, + 323312597, + -1, + 851004420, + -1, + -1, + 140271871, + 302879219, + 637789672, + 439949884, + 582326189, + -1, + -1, + -1, + 400673619, + 754489755, + 5931195, + 934255092, + 27991035, + -1, + 838199148, + -1, + -1, + 641603948, + -1, + 763997224, + 543960388, + 279690030, + -1, + 78061876, + -1, + -1, + 912111958, + 94438423, + 423464415, + 977509709, + 297815694, + 943154463, + 751836407, + -1, + -1, + 627082190, + 226026873, + -1, + 36316709, + 940230646, + 121869789, + 20179057, + -1, + 371743704, + 41812902, + -1, + -1, + 777743687, + 943901460, + -1, + 441156539, + 959393962, + 868021364, + 607754551, + -1, + 400198095, + 189593756, + -1, + 239435809, + 988861965, + 536703625, + 593256136, + 832294378, + 659537555, + 674817653, + 758005789, + -1, + 443667680, + 679522322, + -1, + -1, + -1, + 633276663, + 450230942, + -1, + 324328671, + 552475014, + 885255213, + 425852828, + 399965765, + -1, + -1, + 577644661, + 210050170, + 909246430, + -1, + 993734121, + 299609878, + 476751712, + 720796100, + -1, + 832485479, + 453073399, + 202536812, + 728779087, + 401446319, + 550050947, + 366503276, + -1, + 265517250, + -1, + 38953439, + 315168538, + 42434508, + -1, + 487187300, + 529624652, + -1, + 405619146, + -1, + -1, + 467633954, + -1, + 361597101, + 821284043, + 146873222, + 901666477, + 563656808, + -1, + 52903101, + 3604711, + 968885872, + -1, + -1, + 793693106, + -1, + 511842142, + 717421361, + 862493222, + 593278328, + -1, + 700708512, + 180266004, + -1, + 789451708, + -1, + -1, + 508489370, + 862138410, + 964799762, + -1, + 854733168, + 818373411, + 615313039, + -1, + 662896739, + 154478444, + -1, + 706027236, + 123735996, + -1, + 674252409, + 446022051, + 748253516, + -1, + 189100022, + 21339208, + 10218203, + 18423232, + 635123490, + -1, + 735730683, + 925049514, + 147529812, + 852392894, + 800147122, + -1, + -1, + 246817252, + 918584468, + -1, + 843650961, + 369225609, + 651349673, + 374743088, + 334674236, + 173948986, + 67047186, + 302648249, + 120483079, + 51475084, + 296495361, + 614691082, + 243405181, + 976277949, + 704808569, + 157289278, + 789290096, + 67188030, + 947205801, + 692618909, + 176636940, + -1, + 989691334, + -1, + 205784539, + 442735139, + 307673524, + 771578938, + -1, + 409635781, + 600029484, + 147523055, + 579310822, + 299419009, + 506617077, + 945178962, + -1, + -1, + -1, + 307366161, + 488416760, + -1, + -1, + 228715244, + 594098300, + 511442889, + 225056189, + 279901649, + 157443913, + -1, + -1, + 111885541, + -1, + 369156079, + 853723882, + 99971593, + 657705433, + 709737297, + 616092875, + -1, + 739925273, + 130444166, + -1, + 842110384, + 462360275, + -1, + 143537735, + -1, + 182295597, + -1, + 14672271, + 988264658, + 323022373, + 38918504, + 991244787, + 205850941, + -1, + 603975357, + -1, + 346612681, + 503324655, + -1, + 303459199, + 338005678, + 84785232, + 606495557, + 968569874, + 369065810, + -1, + 882372637, + 861483915, + -1, + 100090018, + 383129637, + 154456172, + 808323380, + 272732942, + 985918932, + 86119503, + 73265525, + 663466851, + 218579720, + 38438589, + 36826076, + 906492709, + -1, + 423647610, + 118452153, + 948427124, + -1, + -1, + 213233384, + 211606699, + 302734089, + 496140589, + 485616635, + -1, + 224873043, + 658720283, + 23678171, + 606702008, + 706593544, + -1, + -1, + -1, + 248365622, + -1, + 139317302, + 289881880, + 234479950, + 781803871, + 445683620, + 806273997, + -1, + 990333721, + 101919500, + 348216110, + 654772353, + -1, + 151398183, + 429784112, + -1, + 250538438, + 910001283, + 772809712, + 59719135, + 934819274, + 939213999, + 694622891, + -1, + 850300182, + -1, + 690705534, + 601819376, + 202453220, + -1, + 389660961, + 406828987, + 227718011, + 705446176, + 717367568, + 480066968, + -1, + 832122896, + 313909943, + 932202767, + -1, + 674952749, + 879436163, + 396711357, + 372934723, + 668633506, + 456282135, + 322238949, + 115569493, + -1, + 761598241, + 56200180, + 60462811, + 31439096, + 44012393, + 472980391, + 211461609, + 803231737, + -1, + 502340618, + -1, + 392492770, + 543734368, + 153836604, + -1, + 305600157, + 184572919, + -1, + 524671373, + 128992886, + 62589872, + 39238969, + 32580072, + 221804708, + 410185468, + -1, + 930394401, + 843823497, + 329224066, + -1, + 278608605, + 697970773, + -1, + 635533824, + 288781992, + 146463691, + 312491586, + 692834715, + -1, + 855125446, + 318576989, + -1, + 368787496, + -1, + 951343697, + -1, + 375685186, + 793373634, + 205516463, + -1, + -1, + 788340082, + -1, + -1, + 419130761, + 477217067, + 758763063, + 281330961, + -1, + 713054980, + 155782342, + 105949207, + 614816128, + -1, + 896165579, + 947076576, + 842114681, + -1, + -1, + -1, + 68354796, + 195778983, + 974571401, + 716272008, + 421424306, + 11290127, + 597552996, + 309859392, + 667770380, + 400489175, + -1, + 625905979, + 281581198, + 264730818, + 136459127, + 383011260, + 796609585, + 692502616, + 342057800, + 584343419, + -1, + -1, + 311850660, + 383086002, + 865868598, + 253346500, + 233274873, + 256740593, + -1, + 657206558, + -1, + 893262974, + 838309839, + 14388551, + 330324890, + 440552410, + 245579920, + 628255890, + 852017180, + -1, + 218437312, + 264102146, + 133387867, + 347982344, + 47930548, + 931588825, + 304333869, + -1, + 78459273, + 36391691, + -1, + -1, + -1, + 18538929, + 320580303, + 486074489, + 127926383, + 282284020, + -1, + 392303259, + -1, + -1, + 272882678, + 978291158, + 326243443, + 27731886, + -1, + -1, + 291679641, + 701588219, + -1, + 427556650, + 310666092, + 948415759, + 742508397, + -1, + 577279230, + -1, + -1, + 699740744, + 147927769, + 322542672, + 396806009, + 18639850, + -1, + -1, + 992561374, + 828211707, + 142930517, + 311103976, + 351122521, + 395165587, + 690482681, + 861851242, + 156337560, + -1, + 516665190, + -1, + -1, + -1, + 877541261, + -1, + 104647371, + 12187206, + 127922526, + -1, + 131573877, + 94198986, + 604346917, + 313579174, + 750312976, + 746432373, + 451813125, + -1, + -1, + 502833167, + -1, + -1, + 719137641, + 86520460, + -1, + 861048370, + 68504517, + 474960887, + -1, + 763078055, + -1, + 160439797, + 407146470, + 798971721, + 985754306, + 977555738, + -1, + 198428136, + 555492542, + 820883162, + 360366900, + 28167377, + -1, + 104367764, + 771369172, + 115465942, + -1, + 897837052, + -1, + 516294516, + 507564905, + -1, + 979318777, + -1, + 311343245, + 341836383, + 601665831, + -1, + 41317180, + 611111045, + 568752305, + 892048356, + 544294995, + 727022582, + 912211101, + 122764347, + 182082108, + 433847301, + 947070714, + -1, + 818198244, + 446225439, + 278463054, + 989431044, + 212009001, + 493029540, + 960887081, + 376832758, + 750519102, + -1, + 27890301, + -1, + 226788275, + 384336437, + 777868657, + 979254326, + -1, + 641035123, + -1, + 99043771, + 365332820, + 274810114, + 646006136, + 966062475, + 277162293, + 811714631, + 281642019, + -1, + 303856632, + 994682796, + 9921056, + 40326980, + 594932454, + 158321046, + 618427536, + 934842624, + 193175658, + 7438480, + 394417272, + 771851744, + 74257162, + 212286528, + -1, + 408248227, + 728424568, + -1, + 795476208, + 638486235, + -1, + 848317641, + 904863604, + 686956281, + 637636687, + 900123550, + -1, + -1, + 7610739, + 421666324, + 318473980, + 612335855, + -1, + 687796927, + 951492109, + 442984766, + -1, + -1, + 458608926, + 495494269, + -1, + 687933450, + 640226163, + 234006115, + -1, + 216553360, + -1, + 647408614, + 48841906, + -1, + 405825726, + -1, + 659173129, + -1, + 914428336, + -1, + 655991858, + 95090566, + 343802229, + -1, + -1, + 43471045, + 821150280, + 318071857, + 948094641, + 87662660, + -1, + 185735547, + -1, + 596872570, + 723516838, + 158533314, + 737342300, + 182277704, + 378039713, + 944330344, + 58808102, + 58040006, + -1, + -1, + 759831581, + 205035333, + 404424429, + 132227952, + -1, + 631238085, + -1, + 257051567, + 941007474, + 387036926, + 679377646, + 515557032, + 119699956, + 861131840, + -1, + -1, + 555585268, + 194575431, + 638218421, + -1, + 974096413, + 480401827, + 566777622, + 428593667, + 596433901, + 921023777, + 688187151, + 947291437, + -1, + 890196748, + 497090794, + 489952240, + 934685805, + 830986304, + 834035196, + -1, + 477658529, + 261409443, + 310262334, + 159239549, + -1, + 17590701, + 536459173, + -1, + 280113601, + 635450928, + -1, + 296775551, + -1, + -1, + 637176428, + 780053819, + 516616756, + 571879173, + 751089164, + 835360508, + 783995918, + 558552836, + 915009266, + -1, + 341890615, + -1, + 37551466, + -1, + -1, + 525856660, + 885076560, + -1, + -1, + -1, + 159243287, + 901067188, + 721531741, + 479620986, + 994218795, + -1, + -1, + -1, + 996417641, + -1, + 649347941, + 857483601, + -1, + 54425540, + 842125661, + -1, + 112748629, + -1, + -1, + 443166437, + -1, + 242116188, + 903707994, + 746517697, + 916895700, + 124723387, + 905758550, + -1, + 181836119, + -1, + 45253824, + 56253726, + 235827507, + 400820153, + 292571767, + 862043617, + -1, + 874085127, + 129905571, + 791297696, + 303612665, + 876264107, + 612931388, + -1, + -1, + 818547721, + -1, + -1, + 212940856, + -1, + -1, + -1, + 246082137, + 494325796, + -1, + 96283299, + -1, + 323012120, + 436302679, + 988374597, + 840131937, + 226639580, + -1, + 40332998, + 232114014, + -1, + -1, + 324398783, + 228225, + 498270777, + 359513064, + 338536497, + -1, + -1, + 942507237, + 351871058, + 936813742, + 370550362, + -1, + 960530259, + 676108126, + 172762200, + 594774762, + -1, + 264278821, + -1, + 502981290, + 863731297, + -1, + 254906240, + -1, + 243348761, + -1, + -1, + 930089269, + -1, + -1, + 183332830, + 727121689, + 430206095, + 696119374, + -1, + 241571406, + 972817541, + 124584069, + -1, + 280409783, + -1, + -1, + -1, + -1, + 70009821, + 990695823, + 427546548, + 446433063, + 599790305, + 604731139, + 979773363, + 76128855, + 142903111, + -1, + 793588698, + 251388304, + -1, + 883265757, + -1, + -1, + 623333489, + 92981421, + -1, + 673384942, + 161228231, + 735103220, + -1, + 968550760, + -1, + -1, + 51597968, + 369243411, + 304714065, + 413321005, + 601314342, + -1, + 56643082, + -1, + 185026215, + -1, + -1, + 544650920, + 415245168, + 809504263, + 698700593, + -1, + 733333302, + -1, + 746808593, + 111101387, + 716447884, + 772141825, + 338727996, + 999748168, + 7649857, + 82065873, + 788109540, + 65147977, + 721217021, + 415426734, + 392386925, + -1, + 473751866, + 117020443, + 538400237, + 33064525, + 791257061, + 84173625, + 652367751, + 317828154, + -1, + 704921817, + -1, + 352966542, + 677180054, + -1, + -1, + -1, + 44057660, + 797118366, + -1, + 985566777, + 980246942, + 217860877, + 598734239, + -1, + 48585117, + 761874913, + 237438078, + 176786190, + 605674228, + 553516650, + 748157821, + 481263276, + 178539567, + 313233121, + 591981244, + 522712667, + -1, + 744455018, + 43542834, + 265706123, + -1, + 860648175, + 634348697, + 625639884, + 929211178, + -1, + 930646621, + 389147239, + 696975606, + 108010198, + 932415468, + -1, + 153650513, + 742573456, + 920257441, + -1, + 508795303, + 263141749, + 999250950, + 504598476, + 637539730, + 963999042, + -1, + 187923923, + 319618145, + -1, + 133857896, + 513569603, + 413158276, + 455466674, + 229029352, + 537768839, + 253928274, + 878099159, + -1, + 885367927, + 549958435, + 4416798, + -1, + 826969727, + 48416703, + -1, + -1, + 880077525, + 678208206, + 122549066, + 393720599, + 1925756, + 959398561, + 516012274, + 330592093, + 150328072, + 441242514, + 284745913, + -1, + 907116084, + -1, + -1, + -1, + -1, + -1, + 361630826, + 794453517, + -1, + 90633992, + -1, + 56298587, + -1, + 635915937, + 759883852, + 364229286, + 505324815, + 282551786, + -1, + 44839635, + 473349441, + 436247947, + -1, + 255092225, + 945131737, + -1, + -1, + -1, + 612482129, + -1, + 243523811, + 734145220, + -1, + -1, + 890453770, + 586962085, + 826753914, + 827653161, + 481651719, + 34677014, + 200510887, + -1, + 649846445, + 798456997, + -1, + 489503167, + -1, + 94509903, + -1, + 770879663, + 886266679, + 581735623, + -1, + 601399836, + -1, + 223327783, + 909963394, + -1, + -1, + 695395892, + -1, + 19247409, + 455402978, + 911471099, + 869287708, + 882992439, + 149205244, + 917431862, + 978586208, + 287668061, + -1, + -1, + 967539359, + -1, + -1, + 415453660, + -1, + 194264744, + -1, + 333207154, + 816136839, + -1, + 132607242, + 897384686, + 837857827, + 664065374, + -1, + -1, + 261466897, + -1, + 113109319, + 755069570, + -1, + 653977991, + 527697835, + -1, + 770997779, + 983760464, + -1, + 302411813, + 434706676, + -1, + -1, + 311380875, + -1, + 684801895, + -1, + -1, + 471489266, + 158045070, + -1, + -1, + 295026797, + -1, + -1, + 212844065, + 269149970, + -1, + 894162061, + -1, + -1, + 809238279, + 213382828, + 371071230, + 458534155, + 465548414, + 337107763, + -1, + 910022429, + 26921374, + -1, + -1, + -1, + -1, + 736947074, + -1, + 78319965, + 44967484, + 294285363, + -1, + 447950112, + 50008433, + 351674794, + 852999479, + 246109450, + 323138551, + 20274487, + -1, + 133361271, + 984518858, + -1, + 112778515, + 421338890, + -1, + 934553681, + -1, + 824434672, + 324582641, + -1, + 129297172, + 173552237, + 831136162, + 302739186, + -1, + 518966487, + 4531589, + 757029454, + -1, + 639779062, + 826902759, + 251609134, + 451501268, + 932099049, + 218463876, + 115274374, + 503266863, + 739403937, + 898744031, + -1, + 48386697, + 452703686, + -1, + -1, + 95579472, + 463817933, + -1, + 953040120, + 891961454, + -1, + -1, + -1, + 564656836, + 753248926, + 79061084, + 583850860, + 805450083, + 679055259, + 878391143, + 322473452, + -1, + 933842702, + 20893547, + 351438227, + -1, + -1, + 52156419, + 306714238, + 27746995, + -1, + 550527299, + 388937850, + -1, + 833196972, + 276570758, + 40887197, + 353524280, + -1, + 549313891, + 436272491, + 525079372, + 118506788, + 554595084, + -1, + -1, + 906551785, + -1, + 392334530, + 712774982, + 754978114, + -1, + 25871971, + 138951788, + 557593119, + 701037363, + -1, + 56469500, + -1, + 281961652, + 827703742, + 181682564, + 756942903, + 286558511, + 591316475, + 192875141, + 382026143, + 95934828, + -1, + 194057186, + -1, + 758796826, + 129307447, + 20891019, + 28250392, + 884194919, + -1, + 114771957, + 511151657, + 504793688, + 93187910, + 844718848, + 382363928, + 987266375, + -1, + -1, + 396632026, + 518349206, + 457192591, + 476557147, + -1, + -1, + 543475470, + 670172095, + -1, + -1, + 360053610, + 767822957, + -1, + 371407849, + 337152958, + 435028474, + -1, + 40994510, + 314831996, + -1, + 924137747, + 590665225, + 793572137, + 308887129, + 57073385, + 995622628, + -1, + -1, + 629648653, + 760626563, + 119046152, + 963831655, + 439252696, + -1, + -1, + 394902152, + 517319629, + 227756044, + 387654233, + 226825836, + 853856401, + 264034922, + 742584957, + 217937888, + 542137743, + 714391762, + 129549402, + -1, + 590360833, + 252908163, + 18289155, + 632414400, + 113574943, + 764827008, + 581553448, + 751473327, + 823161642, + 230173286, + 254115945, + -1, + 251036862, + 60849875, + -1, + -1, + 488551827, + -1, + -1, + -1, + -1, + 11125109, + 876740910, + -1, + -1, + 642690371, + 842293028, + 801160634, + 480325806, + 536599767, + 862424736, + 847868356, + -1, + 282761821, + 783989146, + -1, + 751823108, + -1, + 407586824, + 472082575, + 821350526, + 589534124, + 126381905, + 147121258, + 714587142, + 308335820, + -1, + -1, + 756093825, + 490215393, + 576053890, + -1, + 810338835, + 2653869, + -1, + 265263300, + 661032871, + 257899073, + -1, + -1, + 954143035, + 982212537, + 235688732, + -1, + -1, + -1, + -1, + 895559704, + 672233475, + -1, + -1, + 38551235, + 12141517, + -1, + 535957109, + 136526779, + 289096015, + -1, + 618849938, + -1, + 427704252, + 646960185, + 609344468, + 500030512, + 672320597, + -1, + -1, + -1, + 333038303, + 616487683, + 896681957, + 86364182, + 891632084, + 399364235, + 503650465, + 747402751, + 34422653, + -1, + -1, + 625449746, + 380393127, + 628959727, + 667009759, + -1, + -1, + -1, + 388714894, + -1, + -1, + 846591608, + 791501020, + -1, + 436948724, + 609270902, + -1, + 226519811, + 231859526, + 654042558, + 685575816, + 864320380, + 659588314, + 462916278, + -1, + -1, + 751317804, + 602709528, + -1, + 176315748, + -1, + 480521177, + 462220925, + 375377059, + 136458644, + -1, + 48295752, + 15990768, + 416576341, + -1, + 566840626, + -1, + -1, + 281042235, + 576763744, + 982471016, + 512894873, + 706226614, + 56203429, + 919877038, + 196852731, + 948464197, + 858898392, + 313669588, + -1, + 730719890, + 760318740, + -1, + 849340550, + 928767492, + -1, + -1, + -1, + -1, + -1, + -1, + 101430565, + 798462518, + 403448067, + -1, + 375697372, + 408222581, + 489371387, + 437692891, + 586840856, + 422635571, + 240644109, + 673816703, + 854143626, + -1, + 521313206, + 281975476, + 791891295, + 76101405, + 98326299, + 802459047, + -1, + -1, + 151880412, + 266281554, + 595644976, + -1, + 31286316, + 401430019, + -1, + 251730188, + -1, + 537389235, + 392850188, + -1, + 299845269, + 513118512, + -1, + 330252525, + -1, + -1, + 739027169, + 855833786, + -1, + -1, + -1, + -1, + -1, + 747149555, + 209663081, + 615234185, + 858392942, + -1, + 460529487, + 295014090, + 267824701, + 277374912, + -1, + 304780559, + -1, + 593058095, + 198422324, + 60464245, + -1, + 241980575, + -1, + -1, + 252079413, + -1, + 443151617, + 291096773, + 265265802, + 263913282, + 147913779, + 584731684, + 517372224, + 406029652, + 436653341, + -1, + 834062899, + -1, + 165279584, + 140887444, + -1, + 635458292, + 212846631, + 509528420, + 354829730, + 384766966, + -1, + -1, + -1, + 820382369, + 765312895, + 820307946, + 729458518, + 840265837, + 560216433, + 191367770, + -1, + 755318592, + 122699393, + -1, + 428086147, + 164714115, + 530746869, + -1, + 912275276, + 306945978, + 704866070, + -1, + 958451780, + 649385872, + 642276051, + -1, + 531432281, + 580805727, + 398784739, + -1, + 394682640, + -1, + 539235046, + 906027264, + 172600648, + 704520391, + 891284967, + -1, + -1, + 638224959, + -1, + 448350735, + 95608090, + -1, + 708278563, + -1, + 16380183, + -1, + 168064814, + 23369590, + -1, + 913119043, + 531540066, + -1, + -1, + 303376856, + 672505667, + 222343621, + -1, + 654835311, + 888725524, + 30842710, + -1, + 496056360, + -1, + 936010395, + 603985100, + 865805711, + 101702068, + 914341559, + -1, + 556739591, + 259848612, + 319057181, + -1, + 739962233, + 847605444, + 446820824, + -1, + -1, + 717199295, + 893131869, + 512552441, + 75349997, + -1, + -1, + -1, + 229865798, + 522519835, + 791327767, + -1, + -1, + 612247628, + 166074226, + 633509103, + -1, + -1, + 193554233, + 154139001, + 478556409, + 858431923, + 75172126, + -1, + -1, + 649929229, + -1, + 79460414, + 144782512, + -1, + -1, + -1, + 120259259, + 175459646, + -1, + 422279424, + 161909309, + -1, + 374998330, + 183914242, + -1, + -1, + 331361123, + 97351906, + 306998110, + -1, + -1, + 478309288, + -1, + -1, + -1, + 917938985, + -1, + 105816198, + 106093850, + 686327057, + 548996008, + 978844967, + 199136918, + 529991395, + -1, + 965493940, + 950928413, + 364971937, + 953180568, + 706400149, + -1, + 313683115, + 859225195, + -1, + -1, + 542356674, + 98288394, + 447155162, + -1, + 942475610, + -1, + 967001640, + 608244147, + -1, + -1, + 194414785, + 835202973, + 123625265, + 590939525, + -1, + -1, + 922792669, + -1, + -1, + 682201002, + -1, + 356776036, + 395130539, + 353789758, + -1, + -1, + 247165539, + 598023823, + 643387463, + 43817518, + 61589051, + 484551049, + 828507079, + 619592060, + 798143918, + -1, + 520593830, + 217148483, + 155873424, + -1, + 667243110, + 923851446, + -1, + -1, + 798475672, + -1, + -1, + 356104308, + 948642686, + 116300221, + 823766817, + -1, + 88872797, + -1, + 299763421, + -1, + 302698101, + 250489861, + -1, + 18492825, + 106395927, + 385654900, + 819266314, + -1, + 567319839, + 399338647, + -1, + -1, + 725381547, + -1, + 54599095, + 111368358, + 327018806, + 858176261, + -1, + 922042530, + 496279865, + 705186254, + 771836257, + 69626736, + 867406381, + 433314582, + -1, + 273638116, + 531334920, + 471398496, + 409105131, + 642416283, + -1, + 803365077, + 119329142, + 181299821, + 453025770, + 270604847, + 349963438, + 215223300, + 844994683, + 402197934, + 854047005, + 610168348, + 564238804, + 262266486, + 435717044, + 856941017, + 790132057, + 374930791, + 119946854, + 733878854, + 174184134, + 549525729, + 129834841, + 52692085, + 194455363, + 768013055, + -1, + -1, + 285128696, + 429734184, + 933096023, + 366950874, + 579747674, + 405727332, + 717887332, + 590044079, + 261918645, + -1, + 417410620, + 450449949, + -1, + -1, + -1, + 48317256, + 905565320, + 712190457, + 733554933, + 436270960, + 531470045, + 930144439, + 550682424, + 905808012, + -1, + 88032767, + -1, + -1, + 572747627, + 321542306, + -1, + 511587968, + -1, + 416501340, + 14823805, + 927202581, + 940860867, + 370263729, + 867355219, + -1, + 962618591, + 77413470, + 575396688, + 358297836, + 101308363, + 12906411, + -1, + 202725208, + -1, + 118090111, + 461760235, + 622284071, + 62940743, + 376167853, + -1, + 701092623, + -1, + -1, + -1, + 254597664, + -1, + 233618846, + -1, + 643436537, + -1, + 441768460, + 127988362, + 292276046, + -1, + 589879914, + 946384469, + 672138307, + 105605386, + 883314655, + 976670617, + 286535127, + -1, + 765499766, + 511817174, + 205910741, + -1, + -1, + 322648519, + 99066834, + 765681642, + 816568083, + 564252617, + 420702285, + -1, + -1, + -1, + 134254081, + 116590653, + 480181293, + 720945109, + 259902587, + 471343073, + 829934220, + 876520206, + -1, + -1, + 330630938, + -1, + 965223925, + 737970059, + 517377414, + 379874317, + 809872199, + 612399373, + 848534514, + -1, + 102347244, + 722463219, + 942603770, + -1, + -1, + -1, + -1, + 628662212, + 926309002, + -1, + 226857737, + -1, + 104996473, + -1, + 29635222, + 795354154, + 179036119, + 708170055, + -1, + 592703419, + -1, + 666500339, + 509117822, + 175209598, + -1, + 17989842, + -1, + 503766454, + 851380301, + 589531098, + 437074291, + -1, + 389580352, + 246195334, + 104913428, + 773708148, + 250263481, + 986989867, + 823398827, + -1, + 362583405, + 744556693, + 396651318, + 731187051, + 382279265, + 347954256, + -1, + 483735782, + 55008386, + 137176786, + 91685323, + -1, + -1, + -1, + 559874744, + 459583969, + -1, + -1, + 492704462, + 549892424, + 376194999, + -1, + 733470764, + -1, + -1, + 569177776, + 722703089, + 974451839, + -1, + -1, + 694564475, + 703444560, + 940339772, + 793413706, + -1, + 503197735, + -1, + 982749331, + 865936773, + -1, + 913737107, + -1, + 124382603, + 247390195, + -1, + 842963742, + 749169423, + 23352886, + -1, + 427357771, + 793520454, + -1, + 982275867, + 672013113, + 380829960, + 765925626, + 206396598, + 128291887, + 613730010, + 238084525, + 598889632, + 17228756, + 275697732, + 57443475, + 507244425, + -1, + -1, + 718311385, + 880284801, + 280948305, + 765444518, + 659108057, + -1, + 511123403, + -1, + 717844908, + 778083095, + 627261438, + 83117169, + 899190700, + 561448594, + -1, + -1, + -1, + 568001987, + -1, + 17581703, + 26983368, + 228533955, + 164208507, + -1, + 151991398, + 250532692, + 570331028, + 375041453, + 857964265, + -1, + -1, + -1, + -1, + -1, + 97166090, + 985399882, + -1, + 79718616, + 39059121, + 450929554, + 20430066, + 903109275, + 54773974, + 461604466, + 540274274, + 404236813, + -1, + 362606488, + 580003898, + 192471764, + -1, + 840614976, + -1, + 386000484, + -1, + -1, + 484569234, + -1, + -1, + 146940876, + -1, + 784255522, + 649391620, + -1, + 859129815, + 220634474, + 908042748, + -1, + 395225940, + -1, + 968618686, + -1, + 192654947, + -1, + 319710752, + 638875921, + 403140623, + 920399736, + 499734933, + -1, + 538253758, + 407998396, + -1, + 989919056, + 189053905, + -1, + 902326916, + -1, + -1, + 328874221, + 934144011, + 994773967, + 113610471, + 618923590, + 175718488, + -1, + 891877851, + 141393998, + 828516349, + 156034132, + -1, + 330642340, + -1, + 4022062, + -1, + -1, + -1, + 70512980, + 928012359, + 196157857, + 162983904, + 762297716, + 73548088, + 109084902, + 637452335, + -1, + 303963713, + 914094250, + 782784807, + 714828178, + -1, + 391157583, + 449006496, + -1, + 69949080, + -1, + 820060429, + 709321908, + 133408244, + -1, + 144132362, + 854034199, + -1, + 617565468, + 817682388, + 700327303, + 100797612, + -1, + -1, + 646928236, + 899870668, + 912376606, + -1, + -1, + -1, + 890397464, + 552043996, + -1, + 126716829, + 522380256, + -1, + 667706384, + -1, + 327666020, + 986106014, + 542755287, + 841001136, + 89635191, + -1, + 331995672, + 386551219, + -1, + 643733736, + 611088974, + -1, + 241540080, + 537185605, + 397455625, + 878723989, + 47578007, + 312615878, + -1, + 982967822, + 995659171, + 148177553, + 244178113, + 503655673, + 714061382, + 394610974, + -1, + -1, + -1, + 563907955, + -1, + 264510161, + -1, + -1, + 115498482, + -1, + 153147693, + 437527404, + 817214618, + 837338923, + 562106761, + 399033317, + -1, + 752547905, + -1, + 389283950, + 38612872, + 684241057, + 124051400, + -1, + -1, + 120508072, + -1, + 159628845, + 342069226, + 820727045, + 253865696, + 45453361, + -1, + 489876888, + -1, + 107757888, + -1, + 42836881, + 400575850, + 813034457, + 423528161, + -1, + 607793124, + -1, + 424489713, + 939896721, + -1, + -1, + -1, + 834882057, + 890060661, + -1, + 904083018, + -1, + 371037394, + 731311005, + 989913998, + 860723079, + 237242039, + -1, + 474803164, + 606686543, + 420721888, + 84155109, + 54013192, + 222947354, + -1, + 182914378, + -1, + 760053240, + 336931595, + 894740148, + 626131016, + -1, + -1, + 721362246, + 609985121, + 340361929, + -1, + 660014485, + -1, + -1, + 649913350, + 894859196, + -1, + -1, + 822300260, + 582431483, + 832088904, + 37721601, + 698655072, + 480373043, + 667960333, + 320792333, + 835077664, + 176744310, + -1, + -1, + -1, + 436528633, + -1, + -1, + 141094679, + 974108456, + 911060419, + 914889472, + 519978893, + 216069043, + 765490231, + 146642248, + -1, + 876845856, + 496301543, + 875114936, + 47115987, + -1, + -1, + 25056322, + -1, + 650727726, + 499539660, + 619588006, + -1, + 201538323, + 430284088, + 44714548, + -1, + 444277046, + -1, + -1, + 790466473, + 140837053, + 219276995, + 109893130, + 749163731, + -1, + -1, + 560089872, + 111603193, + 682536523, + 612815801, + 128980034, + 586824621, + -1, + 560293084, + 612156966, + 405134607, + -1, + -1, + -1, + 783337383, + 732091963, + 967505371, + -1, + 519751189, + 559821080, + -1, + 198059843, + 813402820, + -1, + 431971237, + 791429250, + 109481587, + -1, + -1, + 283786499, + 10478168, + 399281926, + 405356539, + -1, + -1, + 180117083, + 86795765, + -1, + 442479757, + 466864789, + 794912857, + 856310939, + -1, + 807496651, + -1, + 314962186, + 827661754, + 678092614, + -1, + -1, + 338485294, + -1, + -1, + -1, + 339483295, + 148395111, + 311458204, + 982651806, + 935023757, + 64124339, + 494853728, + 703148683, + 872367771, + 859803986, + -1, + -1, + 624040344, + 998554040, + -1, + 602963300, + 614482465, + 8197372, + 368947632, + 188196124, + -1, + -1, + -1, + 417778548, + 111988894, + 588204742, + -1, + -1, + 143280008, + 87650183, + 745984177, + 856571096, + 919852962, + -1, + 738106737, + -1, + 874607963, + 385270854, + 321872087, + -1, + 640000802, + -1, + 156131004, + 633132806, + 29052533, + 453956286, + 22619376, + 326008204, + 455904607, + 356649228, + 919522869, + 10233055, + -1, + 839306934, + -1, + -1, + 464508514, + -1, + 737289132, + 662457230, + 656937236, + 7722099, + 674089802, + 643567199, + -1, + 717486387, + 726732119, + 984605861, + -1, + 661583928, + 677863539, + 227958444, + 591088291, + 44055776, + 26054053, + 908281890, + 364590909, + -1, + 10461293, + 899931458, + 64526669, + 576697458, + 253687689, + 737977783, + 271766661, + 295778548, + -1, + 533402218, + -1, + 186153223, + 26424197, + 322871777, + -1, + -1, + 928040354, + 54746706, + 980543957, + 219743114, + 863080705, + 363044010, + 711040456, + 158619118, + 365947606, + 978744486, + 112690228, + 856539267, + 53066996, + -1, + 907694387, + 727871893, + -1, + -1, + -1, + 840064978, + -1, + -1, + 597515677, + 232682109, + 282816054, + -1, + 398525460, + -1, + 878647076, + 550772479, + 246249064, + 391794863, + -1, + -1, + 637639593, + 253389797, + 687736498, + 59784239, + 769846330, + 736995340, + 32664981, + 172756576, + -1, + 532954096, + -1, + -1, + 726227719, + -1, + 774704471, + -1, + -1, + 397010071, + 371003226, + 888313247, + 242655165, + -1, + 904381053, + 635137336, + 740002553, + -1, + 437583186, + -1, + 156727366, + 43273762, + 542724859, + -1, + 194005264, + 139359077, + -1, + 558636173, + 322053125, + -1, + 722584468, + -1, + 352678717, + 295634945, + 956238367, + 701211993, + 33876737, + -1, + -1, + 927796389, + 942185060, + 893039549, + -1, + 104616921, + 546325449, + -1, + -1, + 722577494, + 717871843, + 583897439, + 932556014, + 984260641, + 482070317, + 921019228, + 258341686, + -1, + 868569786, + 732650388, + 634813137, + 360897994, + -1, + -1, + 983433843, + 740082533, + 139477113, + 78537462, + 925739328, + 839383463, + 15484579, + 988286554, + -1, + 737458606, + 947348209, + -1, + 629430932, + 184012818, + 289216157, + 787497363, + 55701571, + -1, + -1, + 355995359, + 312977522, + 660130299, + -1, + -1, + 40925519, + 26720689, + 181411340, + 13340010, + 715387551, + 53995155, + 694480078, + -1, + 144720942, + -1, + 492680739, + -1, + -1, + -1, + 671427846, + 161239080, + -1, + -1, + -1, + -1, + 813868285, + 529825030, + -1, + -1, + -1, + -1, + -1, + 726733312, + 299486800, + -1, + -1, + -1, + 58040817, + 967102076, + 884626551, + 582913603, + -1, + 716648252, + 254200826, + 152013289, + 674138022, + 409417939, + -1, + 877072918, + 101780730, + -1, + -1, + -1, + 677238274, + -1, + 203643828, + 444332860, + 527444244, + 953027129, + -1, + 688469392, + 253693859, + 545726813, + 339391142, + -1, + 837339882, + 388546744, + 612775985, + 131805909, + 84192755, + -1, + -1, + 261334300, + -1, + 710004745, + 321298345, + 846473770, + 921526384, + 319535273, + 692154284, + 384620543, + -1, + 181949869, + -1, + -1, + -1, + 139902648, + -1, + 706343647, + 857811965, + 270128641, + 267634488, + 391779708, + 375182248, + -1, + 392543347, + 268259792, + 531439982, + 12027258, + 760797726, + -1, + -1, + 322747400, + 536087211, + 314016992, + 120333368, + 452872515, + 528790904, + 161929109, + 584900219, + 996738261, + 624116812, + -1, + 353163445, + 266149408, + -1, + 434406299, + 674596081, + 609936945, + -1, + 296471898, + 349059393, + 138264834, + -1, + 670308987, + 28209618, + -1, + 365383579, + 78789958, + -1, + -1, + 275911226, + 625119234, + -1, + 148693254, + -1, + 422354978, + 314375749, + -1, + 65885824, + 472906012, + 174849798, + 533329303, + 662734266, + 522248942, + -1, + -1, + 145118095, + 784657865, + 301749513, + -1, + 256191770, + -1, + -1, + -1, + 160541580, + -1, + 717011820, + 18532920, + 831355516, + 173903920, + 938508888, + 889060840, + 300106923, + 583002056, + -1, + 339677955, + 709193138, + 477239184, + 626498989, + -1, + -1, + -1, + 237201167, + -1, + 168480512, + 259190688, + 943901805, + 290595089, + 150606613, + -1, + 961698423, + -1, + 134842546, + 290641482, + 275631985, + 77058912, + 139040684, + 980370842, + -1, + 718406385, + 754566073, + 743540089, + 674606159, + -1, + 817445885, + 861819874, + -1, + 724525627, + 571459031, + 451789346, + 637312371, + 272949018, + -1, + -1, + 521308673, + 931245772, + 723643388, + 246268620, + -1, + 849869985, + -1, + -1, + 124202651, + -1, + 592828198, + 899450582, + 512834047, + 244002640, + -1, + -1, + -1, + 544857627, + 871570784, + 822067623, + 787026754, + 588394912, + 328923676, + 188000089, + 214506529, + 564417061, + 420297859, + 411774745, + -1, + -1, + 732032917, + 110489919, + -1, + -1, + 259184198, + 158115642, + 123876345, + 202062665, + -1, + -1, + -1, + 484876882, + 575052453, + 342544024, + 343014023, + 179663636, + 14044597, + 366350500, + 382350966, + -1, + 475744436, + 262202332, + -1, + -1, + 334020734, + 861361191, + 281717162, + -1, + 67258536, + 917925036, + 888506493, + 956321073, + 63318718, + -1, + 746252762, + 960408699, + -1, + 588474183, + 983452550, + 273667044, + 2429175, + 755082985, + 133196209, + 753626778, + -1, + -1, + 70095849, + -1, + 332024262, + 715283551, + 553684280, + 580165448, + 694338857, + 286899782, + 911041921, + 883540568, + -1, + 70949964, + -1, + -1, + -1, + 702874951, + 67702633, + 996692035, + 87009342, + -1, + -1, + 883956417, + 249368679, + 887289680, + 790915666, + -1, + 51573311, + 296345652, + 631505935, + 262972816, + 190835671, + 250838829, + 179069196, + 337571168, + 122259419, + -1, + 361079564, + 350676937, + -1, + 826221357, + 798782453, + 200776626, + 184089864, + -1, + 754639772, + -1, + 870888409, + 127157542, + 389781810, + 485762713, + 879666876, + 669699265, + -1, + 731838025, + -1, + 343471271, + -1, + 819529556, + 735002822, + 426052953, + 563046645, + -1, + 930301005, + 2697781, + 644568731, + 522369437, + -1, + -1, + 834474931, + -1, + 326457734, + -1, + 111013154, + -1, + -1, + 963904618, + 210917287, + -1, + 302297538, + 299512541, + -1, + 455365365, + 944169943, + 266193050, + 937054835, + 927911692, + 92919623, + 59507418, + 637693590, + -1, + -1, + 199012236, + 603489813, + -1, + 322220819, + 619863579, + 820890775, + -1, + 287207397, + 556858940, + 147394900, + 692921681, + -1, + 180008542, + 604032192, + -1, + 679539834, + -1, + 117348905, + 517127238, + 709266253, + 452098517, + -1, + 935775798, + 12133383, + 192042518, + -1, + -1, + -1, + 24395354, + 142286958, + 991264107, + -1, + 188643662, + 428668522, + 902385243, + -1, + 805250931, + -1, + 762926767, + 112390881, + 563977380, + 68810112, + 914049369, + -1, + -1, + -1, + -1, + 809957325, + 912999287, + 350663738, + -1, + 803400959, + 729613752, + 632130234, + -1, + -1, + -1, + 371130886, + 707975477, + 461003655, + 45465902, + 226789610, + -1, + 436697479, + 57455519, + 718971133, + 663556028, + -1, + 649973980, + 636253139, + 548486119, + -1, + 116821119, + -1, + 663881633, + -1, + -1, + 703904371, + -1, + 925688210, + 926037859, + -1, + 181452356, + 663316205, + 331475792, + -1, + 517486400, + 57589495, + 221545813, + 930487911, + 270933790, + 792222920, + -1, + -1, + 360973617, + 911566070, + 469436388, + -1, + 478897619, + 326931451, + -1, + 119249165, + 770027266, + -1, + 496184313, + 470793891, + 296149005, + -1, + 537474243, + 399324148, + -1, + 928329403, + -1, + 170832845, + -1, + -1, + 888401080, + 867057342, + 792030388, + 705503124, + 569056613, + 365023226, + 107890741, + -1, + 364500930, + -1, + 402053633, + 866170474, + 233669363, + 497202854, + 502822458, + 583361553, + 337010914, + 934468428, + 468642033, + 122941105, + 230863665, + 383999412, + 789964909, + 901693036, + -1, + 199557174, + 850183549, + 928457593, + 170087522, + 745614913, + 923909066, + -1, + 150250950, + 409485571, + -1, + 854197418, + 27057152, + 649775413, + -1, + 915391636, + -1, + 429689192, + 374974672, + 449664067, + 853780820, + 888797299, + 49319418, + 95003994, + 645912318, + 711590913, + -1, + 820343833, + -1, + 104416603, + -1, + 82074551, + 77311309, + -1, + -1, + -1, + 736841665, + 243453757, + -1, + 841720668, + -1, + 40010285, + -1, + -1, + -1, + 226756267, + 926423360, + 261634660, + 18986867, + 882058746, + -1, + 260829924, + 117371568, + 427559621, + 121142003, + -1, + 837983177, + -1, + 98193761, + 694440049, + -1, + -1, + -1, + 605566943, + -1, + 407129665, + 90738418, + -1, + 148472922, + 160976433, + 673111074, + -1, + 381033297, + -1, + 724867536, + -1, + -1, + 461300960, + 515230669, + 611096768, + 654982964, + 301723210, + 87188349, + -1, + -1, + 938716438, + -1, + 200966475, + 280523886, + -1, + 297999091, + 141884862, + -1, + 563522358, + 456697973, + 149821698, + 195060869, + 983437241, + 240876434, + 874589673, + 540989758, + 257045460, + -1, + 161469459, + 106281163, + 420644578, + 112800939, + 875437896, + 307101011, + 348356966, + 300803183, + -1, + -1, + 317454725, + 639499164, + 953008410, + -1, + 259969806, + 243322816, + 685731469, + 830598816, + 516693103, + 145882122, + 853901598, + -1, + -1, + 979147821, + -1, + 49585477, + -1, + 999918692, + 762730505, + -1, + 915431738, + 352678998, + -1, + 669180027, + 642218191, + -1, + 354462165, + 543144211, + 341135065, + 637804369, + 396263498, + -1, + 663022873, + -1, + 844710733, + 168660684, + 115161224, + -1, + 208045691, + 556391706, + 608124072, + 102191043, + 310908472, + 137111211, + 35258933, + -1, + -1, + -1, + -1, + 226426855, + 11108390, + -1, + -1, + -1, + 504424785, + 1369663, + 776804097, + 741579697, + 6548147, + 127361755, + 487482589, + 155916152, + 167876844, + -1, + 937982669, + 361829845, + 591034685, + -1, + 969636430, + 338041351, + 314233272, + -1, + -1, + -1, + 698249564, + 629816983, + 673245654, + 508881966, + 204899457, + -1, + -1, + 878495331, + 565223867, + 167664702, + 804440293, + -1, + 261314677, + 601723765, + 212141074, + 272592141, + 12760414, + 910662729, + 358591702, + 352104172, + 940742115, + -1, + 863144247, + 976822335, + 915123351, + -1, + 509298620, + 628175583, + -1, + 794810563, + 691289313, + -1, + 696589939, + 450575618, + -1, + -1, + 77661552, + 915494223, + 3024223, + 42836174, + 329656780, + -1, + -1, + -1, + 738006934, + -1, + -1, + 547723036, + -1, + 676126503, + 204241695, + 981540444, + 187650104, + -1, + 477834990, + -1, + -1, + -1, + -1, + 579420841, + -1, + -1, + 910846571, + 415958743, + 618476568, + 806826997, + -1, + 281949099, + 222381590, + 976254736, + 308252828, + 325139155, + 201355772, + 496589901, + 320750787, + 649995686, + -1, + -1, + 97878938, + -1, + 19063776, + -1, + -1, + -1, + 995958635, + 963125738, + 302813202, + 933768256, + -1, + 828711692, + -1, + 955518158, + 883167648, + 291698072, + 316025262, + 957919557, + 117743836, + 684097021, + 60222930, + -1, + 570574226, + -1, + 94443967, + -1, + -1, + -1, + 472050855, + 428017677, + 838182052, + 794553209, + 429949870, + 901726899, + 471616124, + 554371801, + 258425237, + 30814193, + 341880413, + 702163176, + 796634800, + -1, + 520974179, + -1, + -1, + 224178845, + -1, + 434099423, + 578398058, + -1, + 836189590, + -1, + 313303505, + 210818652, + -1, + -1, + -1, + -1, + 591993071, + -1, + 242749658, + 816478248, + 530719535, + -1, + 504412769, + 73446917, + 258934015, + 658000262, + -1, + -1, + 353693749, + 570257691, + 756374769, + -1, + 320717186, + 590347683, + -1, + 513425010, + -1, + 750204969, + -1, + 107375562, + -1, + -1, + 419039198, + 246347882, + 376552653, + -1, + -1, + 397379039, + 926935859, + 627499366, + 458046786, + -1, + 634206533, + 941489049, + 821886098, + 818550238, + -1, + 369729958, + 281549737, + 197593176, + 101597372, + 335726733, + -1, + 970509767, + 818321115, + -1, + 218360185, + 381752522, + 55493137, + 808488373, + 694516304, + 899254677, + 997664874, + -1, + -1, + 476783181, + -1, + 61484637, + 807972721, + -1, + 818836669, + 853550251, + 312912473, + 309775296, + 948831988, + 963743293, + 898984189, + -1, + 751776215, + 387959707, + 742589939, + 516904891, + -1, + 974405656, + 726892779, + -1, + 328259081, + 758844445, + 106811051, + -1, + -1, + -1, + 426321216, + 820172261, + 361182164, + 714464123, + 96144402, + -1, + 873946531, + 543606864, + 729684630, + 756552335, + -1, + 388714385, + 472305856, + 463751275, + 296888150, + 439315955, + 413503492, + 412198805, + 291729288, + 899236255, + 700908194, + 676927361, + 239593553, + 402207440, + 845882475, + 414593555, + 848369777, + -1, + -1, + -1, + 188602767, + 149678693, + 60981688, + 714916604, + -1, + 143511917, + -1, + 999098603, + 505923509, + -1, + 570331946, + -1, + 401623217, + -1, + -1, + 438682392, + 269385762, + -1, + 305127136, + 525922813, + -1, + -1, + 526455803, + 742531372, + 369153744, + 370299858, + 750965040, + 769309043, + 317247826, + -1, + 803603864, + 769138856, + 161004189, + 590600211, + -1, + 545095805, + 217377089, + -1, + -1, + 942700166, + 801864979, + 162445263, + 989716196, + 32743597, + 156262825, + 660883902, + 562177212, + -1, + 964672928, + -1, + 687188675, + 723714495, + 172128778, + -1, + -1, + -1, + -1, + 529644723, + 726088764, + 564351985, + 855375589, + 404393442, + 324708571, + -1, + -1, + 710413139, + 877620209, + 629512859, + -1, + -1, + 211838160, + 646376075, + 951963702, + -1, + 63198599, + 344287846, + 649469058, + 389092560, + 280973578, + 375009977, + -1, + 414413412, + 191952815, + -1, + 983887072, + 991641999, + 233089044, + 116806694, + -1, + 675287826, + -1, + 958957581, + 716241892, + 529140864, + 692066425, + -1, + 502375807, + 965948818, + 82228128, + -1, + -1, + 517526866, + 496993940, + 664572097, + 477647119, + 507419759, + -1, + 141490305, + -1, + 195785634, + 104506432, + 423142826, + -1, + 181343295, + 66363475, + 58855301, + 779738263, + 330295610, + 735433033, + -1, + 822787157, + 888798381, + 216047429, + 490860523, + 847277056, + 439654796, + 249893876, + -1, + 87299115, + 828813181, + 366153546, + -1, + 903634054, + 230050915, + -1, + -1, + -1, + -1, + 844493583, + 620416669, + -1, + -1, + 825849562, + 281201273, + -1, + -1, + 272511978, + 839411950, + 747938474, + 591720634, + 865055370, + 714506883, + 41442238, + 213327721, + -1, + 483314669, + 791095475, + 411299643, + -1, + -1, + -1, + 884665271, + -1, + 882662150, + 840172023, + -1, + 309534682, + -1, + 950157938, + -1, + -1, + 369701837, + 347272574, + -1, + -1, + -1, + 534365401, + 491317475, + 572866548, + 113904144, + 127014996, + -1, + 323520027, + -1, + 824341999, + 140891557, + 640658203, + 967282421, + 53534677, + -1, + 264776064, + 204091444, + 491192783, + 575243060, + 997963440, + 388073318, + -1, + 978280084, + 81077264, + 300627208, + -1, + -1, + -1, + 567907305, + 285290008, + 473243272, + 112689525, + 311530867, + -1, + 936446388, + 560350031, + -1, + 121982130, + 249911696, + -1, + 363816426, + 444444901, + -1, + 600030004, + 616899247, + 548197119, + -1, + 432691500, + 788655141, + 936377611, + -1, + 412863010, + -1, + -1, + -1, + -1, + -1, + 968557625, + -1, + 399017784, + 991964966, + 238344099, + -1, + -1, + -1, + 554820884, + 536979495, + 116771478, + -1, + 566040090, + -1, + 426468563, + 204343612, + 26072782, + 336265448, + 490005453, + 161950426, + -1, + 12539160, + 309464683, + 698790470, + 22402776, + 288778578, + -1, + 179577317, + 57089756, + 695744072, + 190142790, + -1, + 679617658, + 612818153, + 70206008, + 203964889, + 503443068, + 338498481, + 495337313, + 236215340, + -1, + 999156292, + -1, + 566633242, + 626350968, + 823942257, + 780111367, + 961532847, + 215553853, + 646505337, + -1, + 483040822, + 551170023, + -1, + 949362718, + 427116970, + 603015611, + 755091361, + 728532454, + 587634221, + -1, + 702244128, + 314098214, + 85653485, + 962415178, + 706619248, + -1, + -1, + 564027024, + 941490041, + -1, + -1, + 593308624, + 39693718, + -1, + -1, + 773550305, + 369368592, + 266948138, + 149671465, + 937417313, + 36848226, + -1, + 298652302, + 128291207, + 410816271, + -1, + -1, + 886413333, + 750667008, + -1, + 235085415, + -1, + 90137469, + -1, + -1, + 393199234, + 822708676, + -1, + -1, + 847891810, + -1, + 693419846, + 197145549, + 249044797, + 399140601, + 65201479, + 209336069, + 111255306, + 660260001, + 546801143, + 52996557, + 704471094, + -1, + 167946922, + 180307034, + 940440405, + 782562523, + -1, + -1, + 571812478, + -1, + 655482947, + 660376030, + 654437833, + -1, + 614390223, + -1, + 91770237, + 428162940, + 911230707, + 161398758, + 936870854, + 33885357, + 266386808, + 366910984, + 749876491, + 669918725, + -1, + 781959854, + -1, + 867504742, + 598075382, + 373492859, + 836687852, + -1, + 512124390, + 145897610, + 14122116, + 873081065, + -1, + 210240969, + 82030734, + -1, + 76565624, + -1, + 453467036, + 540691768, + 190836464, + 547507272, + 263436724, + 127239589, + 717168490, + 259060820, + 495436466, + 329564220, + 942949841, + 530280611, + 781673821, + 149500343, + 910187941, + 9445729, + 992629222, + 421253651, + 684906249, + -1, + 760340207, + 427305594, + 820494680, + 25235296, + -1, + 353697043, + 933895169, + 757880382, + 555469802, + 186028120, + 406346510, + -1, + 200567478, + 891084924, + -1, + 60398021, + 708644285, + -1, + 479594893, + 389326356, + -1, + 416982103, + -1, + 459511855, + -1, + 518819233, + 122307811, + 881313514, + 279494682, + 755891141, + 161053740, + 205074860, + 852241499, + 970595737, + 224492990, + 788583892, + -1, + 257611774, + 435500138, + -1, + -1, + 146502447, + -1, + 370750066, + 192431646, + -1, + 266823226, + 100857936, + 778465666, + -1, + 577698765, + 600948683, + 155280036, + 899348979, + -1, + -1, + 714631939, + -1, + 216547683, + 204051194, + -1, + 497885542, + 605365234, + 761796180, + 118145341, + 336730368, + 980612614, + 730232344, + 419755867, + 158085932, + -1, + 704742786, + -1, + 908066594, + 722042635, + 405568105, + 884230085, + -1, + 280440580, + 693967846, + 855179903, + -1, + 208023440, + 670546728, + 833620364, + 540073366, + 15050212, + 864983723, + 381582609, + 211721125, + 785982284, + 798075484, + 655165279, + 453879207, + 209735399, + -1, + -1, + -1, + -1, + 954183813, + 294538258, + -1, + -1, + 561454627, + 589662033, + 481283784, + 953109449, + 829102920, + -1, + 166436992, + 498884824, + 345942529, + -1, + 167089879, + 742072371, + 127558811, + -1, + 926886829, + 124906559, + 240288775, + 631249538, + 819334454, + 722891290, + -1, + 399723429, + -1, + 814634924, + 203658400, + 149395385, + 56261016, + -1, + -1, + -1, + 922001962, + 485065304, + 275154449, + 829384231, + -1, + -1, + 588092657, + -1, + -1, + 284157982, + 577208950, + 335862931, + -1, + 771474590, + -1, + 949026259, + 119261161, + 648221152, + 412592451, + -1, + 144189321, + -1, + 391777367, + 690459953, + 156722721, + 336552390, + 148648467, + -1, + 547763128, + -1, + 630845038, + -1, + 454237623, + 995543128, + 238315486, + 706150612, + 419067895, + 762655860, + 298137758, + 504085715, + -1, + 973969510, + 349126541, + 473322526, + -1, + 172052408, + -1, + -1, + 565113694, + -1, + 473567323, + -1, + 679183095, + 808857520, + 262596648, + 878517556, + 998217799, + 849538732, + -1, + -1, + 960270771, + 7652982, + 734303002, + 625523898, + 644902074, + 536780581, + 213413647, + -1, + 375879154, + 731548257, + 532263678, + -1, + 416983740, + 509515369, + 757914780, + 612484482, + 31764673, + 21868933, + 860676904, + 97571429, + 57404107, + 215396252, + 134582637, + 350187587, + -1, + 514949702, + -1, + 650976117, + 367164923, + 632829893, + 611093905, + 206804776, + 655438571, + -1, + 584140575, + -1, + 227522667, + 497500725, + 586113193, + -1, + 772087916, + 123730877, + 506530267, + -1, + 964357771, + -1, + 248657319, + -1, + -1, + -1, + -1, + 996985828, + 706067078, + 562113600, + -1, + -1, + 475129795, + 479412581, + 100288582, + -1, + 792655986, + -1, + 787755620, + 269597107, + 451871098, + 659843945, + 661775787, + 901792381, + -1, + 812270826, + 550563967, + 23906609, + 606737014, + -1, + 534914861, + 28903502, + 242639804, + 926264429, + 405046411, + -1, + 77676977, + 655137223, + 94160304, + 193367741, + -1, + -1, + -1, + -1, + 843461252, + 799624571, + -1, + 34772819, + 135123240, + 409703429, + -1, + -1, + -1, + -1, + -1, + 81697152, + 936964591, + -1, + 355500075, + 643197231, + 640092038, + 9904, + 65025626, + -1, + 262691173, + -1, + -1, + 623031180, + 149691067, + 142141735, + 783789473, + -1, + 37205000, + 857127296, + 453324746, + 806360395, + 247483077, + 403724441, + -1, + 719628608, + -1, + 807450950, + 351582687, + 879714737, + 167564652, + 384774205, + -1, + -1, + 326190061, + -1, + 501199972, + 877456797, + -1, + -1, + 602848752, + 574433984, + 778578213, + -1, + -1, + -1, + 949108441, + 574694815, + -1, + -1, + -1, + 918849492, + -1, + 29083887, + 568165785, + 48419668, + 193280306, + 996745248, + 928858914, + -1, + -1, + 363175550, + -1, + 875633383, + 564535142, + 753382253, + -1, + -1, + 648647519, + 534288611, + 312658705, + -1, + -1, + 892481028, + 462531680, + 866246213, + 953525808, + 630800721, + -1, + -1, + -1, + 8741598, + 441585248, + -1, + 666057322, + -1, + -1, + -1, + -1, + -1, + 553545320, + -1, + 676394364, + 910043292, + 244181971, + 220247385, + -1, + -1, + 842060831, + 636994643, + 176765503, + -1, + -1, + 757893594, + 520385573, + -1, + 601730269, + 630625054, + 817546239, + -1, + 460670087, + 704041714, + 199650964, + -1, + 655393955, + 589704156, + -1, + 220174536, + 789775267, + 830080657, + 508496891, + 868867426, + 908678203, + 450805139, + -1, + 524965497, + -1, + 287132932, + 320324216, + -1, + 777013200, + 475672975, + -1, + 387460371, + 686583993, + 278967659, + 263844341, + -1, + -1, + 241249988, + 585161659, + 166439039, + 123836310, + 221786545, + -1, + 419450093, + -1, + -1, + 906247238, + 117655745, + 578974271, + 210631545, + 188620386, + 534441324, + 760761228, + 696290546, + 999048354, + -1, + 588695465, + 318573961, + 64423673, + -1, + 786045002, + 505323034, + 873963795, + 498970801, + -1, + -1, + -1, + 372497710, + 497131936, + 511814597, + 684711331, + 914670573, + -1, + 851531599, + 704009930, + 269558317, + 283379543, + 425639789, + 273013802, + -1, + 820401208, + 102839230, + 779816301, + -1, + 89574694, + -1, + -1, + 19910427, + 737461689, + 968789511, + -1, + 402799098, + 118887508, + 261146686, + 365903118, + -1, + -1, + 604111590, + 263404155, + -1, + -1, + 526795884, + -1, + 603817074, + 722877398, + -1, + 134574554, + 836843427, + 632977760, + 891722542, + -1, + 444283205, + -1, + -1, + -1, + -1, + -1, + 111975358, + 609976281, + -1, + 93519398, + 835717886, + 314264505, + 68733471, + 518766763, + 196897827, + 896273531, + 941867390, + 777743431, + 862374024, + 562934593, + -1, + 544611822, + 415785152, + 162793220, + -1, + 573703491, + -1, + 42822821, + -1, + -1, + -1, + 271552811, + 320322079, + 701696843, + -1, + 973574018, + 815455940, + 294324502, + -1, + -1, + 434033789, + 80643518, + -1, + 959306667, + -1, + 898546503, + 205359211, + -1, + -1, + -1, + 185763866, + 980067591, + 711604430, + -1, + -1, + -1, + -1, + 746063180, + 466891717, + -1, + -1, + 150734662, + -1, + -1, + -1, + 667201332, + 977331935, + 335916641, + -1, + 732728528, + 640322909, + 638280912, + 799767848, + 874588932, + 463174871, + -1, + -1, + 819973240, + 626852360, + 937940093, + -1, + 362294942, + 573148506, + -1, + -1, + 482968642, + 342159393, + 755767655, + 559723695, + 191119038, + 445570657, + 635784242, + -1, + 311981459, + -1, + 997159559, + 246290638, + 915605594, + -1, + -1, + 220504660, + 984229730, + -1, + -1, + 257975323, + -1, + 278371066, + 73565341, + 116891593, + 942013429, + -1, + 409584615, + 977148992, + 979328132, + -1, + 655675833, + 936118194, + 879516670, + -1, + 822804330, + 994534776, + 216992347, + 190218169, + 316769481, + 678749207, + 472602098, + -1, + -1, + -1, + -1, + 719087847, + -1, + 474611228, + -1, + -1, + 278962997, + 790678078, + -1, + 390834314, + -1, + -1, + -1, + -1, + 243064779, + 85545349, + 407663526, + 929320196, + 977376058, + 988584313, + -1, + 933329131, + 811394939, + 530539492, + 318601493, + 292381429, + 643851328, + -1, + -1, + -1, + 96158298, + 811616578, + 785308550, + 309820609, + -1, + 310898033, + 796809522, + 644938590, + 534219673, + 981576437, + 315481320, + 689539327, + 274530799, + 476694930, + -1, + -1, + -1, + 579874511, + -1, + 187132840, + 772963427, + -1, + -1, + -1, + 293811734, + 250575911, + 779477003, + 73669296, + -1, + 743773087, + 64559145, + 589706092, + 329489668, + -1, + 617667702, + 557546875, + 264346066, + 310966531, + 451901775, + -1, + 169015450, + 499102406, + 960823317, + -1, + 308447029, + 60606270, + 371322217, + 864476051, + 609148562, + 508670576, + 957421344, + 631759181, + -1, + 255661506, + 176449292, + 260465757, + -1, + 888276749, + 148643931, + 115349036, + 951369377, + 896378685, + 91777572, + -1, + 790496392, + 868799463, + -1, + 591001932, + -1, + 51616012, + 856356555, + -1, + 71537319, + 37780576, + 854623976, + 510597332, + 190853171, + -1, + 870472518, + 478202833, + 458546432, + -1, + 231167281, + 131769293, + 837449065, + 899202468, + 533431448, + 623756192, + 726253980, + 653906275, + 719730528, + 274794277, + 802470131, + 400594701, + 199419859, + -1, + 956137355, + 366447052, + 495106144, + 471194756, + -1, + 412293426, + 791170887, + 108551978, + 767510801, + 932972485, + -1, + 762226661, + 685414004, + -1, + 182321148, + 160418461, + 571088204, + 809875041, + -1, + 515284867, + 781806676, + -1, + 728824292, + 894366220, + 817097664, + -1, + 739711570, + 374823696, + -1, + -1, + 797005166, + 169541015, + 51050196, + 224416724, + 663765165, + 446379984, + 218944542, + 595928424, + 26061714, + -1, + -1, + 855763231, + 114014886, + 420497010, + 172141130, + 861825602, + -1, + 96385175, + 170035735, + 944658495, + 854418785, + 560657037, + 349618923, + 996990469, + 380754657, + -1, + -1, + -1, + 321452377, + 698432131, + -1, + 321512980, + 158905482, + 328376650, + 801580801, + 452119279, + -1, + 937325172, + 49511360, + -1, + -1, + -1, + 41279233, + -1, + 817233038, + 517288609, + 465903284, + 52417477, + 741725265, + 388316319, + -1, + -1, + -1, + -1, + 835726063, + 928012226, + 763725663, + 63814918, + 752204267, + 25408697, + 77134630, + 621929718, + 914569464, + 950372662, + 171833220, + -1, + -1, + 791654046, + 861531156, + 750753098, + 285959156, + -1, + 221902757, + -1, + -1, + 164935672, + -1, + 335249268, + -1, + 844045455, + 863321479, + -1, + 661425601, + 530128374, + -1, + 698289803, + 814526191, + 477072128, + -1, + 826818655, + 7241092, + 962650597, + -1, + 807477857, + -1, + 912433126, + -1, + 763007627, + 644644863, + 545135174, + 474668170, + -1, + 206059167, + 704117977, + 393095942, + 345877396, + 249668724, + 66382443, + 36841195, + 583872351, + 941874792, + 258528126, + 293473795, + 350621588, + 284637913, + 387386759, + 174785423, + 957981362, + -1, + 883506608, + 636329107, + 512615370, + 62627918, + 857601496, + -1, + -1, + -1, + 279758625, + 79161463, + 606099905, + 375962233, + -1, + -1, + 669759757, + 86516299, + 169717400, + 661508396, + 630178663, + 520287174, + 966497472, + 362857092, + 997283748, + 660251868, + -1, + -1, + 572267959, + 515206503, + -1, + 747339783, + 897539508, + -1, + 438307812, + 289058936, + 72211348, + 389213211, + -1, + 420595413, + 632644829, + -1, + 721622918, + 539175126, + -1, + 602197560, + 325427171, + 987483723, + 59457148, + 24367114, + 430607163, + 669794595, + -1, + -1, + -1, + 497954881, + 3286348, + 90070262, + 149129309, + 729462180, + 875853994, + -1, + 373245263, + -1, + -1, + 851771259, + 653782212, + 66890522, + 339503374, + 710779745, + 853742735, + 324515028, + -1, + -1, + 770734633, + -1, + 294354672, + 529315882, + 854816893, + -1, + -1, + -1, + -1, + -1, + 874542990, + 288674289, + -1, + 770940194, + 820593866, + -1, + 904266285, + 688673453, + 463812315, + -1, + -1, + 281397273, + 934928426, + -1, + 856136543, + 306071067, + 401916679, + 726897066, + 852633390, + 2212773, + -1, + -1, + 545217518, + 726897114, + 731482662, + -1, + 76154204, + -1, + 711263554, + -1, + 309843588, + 127418995, + 399027423, + -1, + 747173571, + 119775387, + 715004522, + 86658586, + 969767041, + -1, + 104115177, + 874046947, + -1, + 252283393, + -1, + 645500204, + 18449651, + 595530939, + 970376856, + -1, + 66946631, + -1, + -1, + 814204190, + -1, + -1, + 367493288, + -1, + 495575155, + -1, + 968426471, + 430580999, + 607894093, + 37622067, + 811538859, + 854782328, + 912724250, + 594643861, + -1, + -1, + -1, + 760111192, + -1, + 623001343, + 496338045, + 89932939, + -1, + -1, + 110377243, + 326385119, + 997903401, + 171434102, + 307447649, + 463135581, + 66139068, + -1, + -1, + -1, + 355828342, + 431303389, + 240298863, + 986531624, + 510802117, + -1, + -1, + -1, + 634368435, + 778643397, + -1, + 457314905, + 838267498, + 610155792, + -1, + 585257988, + 147088212, + -1, + -1, + 118277093, + 163794576, + 494758080, + -1, + 456588562, + 889009014, + 167453451, + 113203608, + 523327298, + 65939491, + -1, + -1, + -1, + -1, + 813876135, + -1, + 435215416, + 804256985, + 252413007, + 828742553, + -1, + 887994335, + 552905468, + 88481307, + -1, + 697256233, + 653699742, + 319369220, + 705824492, + 37390881, + -1, + 158821745, + -1, + 434871631, + 45196576, + 315521373, + -1, + 92458896, + 778645830, + 587611453, + 987202445, + -1, + -1, + -1, + -1, + 447008305, + 887187631, + 931698561, + -1, + -1, + 820647998, + 466604615, + 668173997, + 520032566, + 939885750, + -1, + 771040709, + 42147093, + 575200044, + 838051589, + 795172204, + 125901850, + 436675871, + 701796929, + -1, + 306162353, + -1, + 936242162, + 733066806, + 508320269, + 850693964, + -1, + 734808232, + 358400668, + 478798341, + -1, + 314265365, + 530636681, + -1, + 561553962, + -1, + 898920813, + 388401530, + 965704437, + 158190723, + 608986352, + 631928457, + 601084763, + 719856570, + 880490213, + -1, + -1, + 243411898, + 378994029, + 329318077, + 993079580, + 875639385, + -1, + 870598761, + -1, + 400287704, + 209043436, + -1, + -1, + 755188479, + 694184935, + 123548862, + 191991681, + 172182141, + 764336950, + 891741648, + 945431217, + 416316505, + -1, + 540613298, + -1, + -1, + 471238054, + 457536032, + -1, + -1, + 451354571, + 248496765, + 978672465, + 21564553, + 631605636, + 848351357, + 92121573, + 639970647, + 45427441, + 419456379, + 799950032, + 240081409, + -1, + 285845121, + 471122528, + 266115104, + -1, + 517700756, + 340786991, + 828245793, + 125773972, + -1, + 165271493, + -1, + -1, + 964114552, + 847502588, + 651048188, + 909287080, + 554390579, + 179038141, + 319813288, + -1, + 32902396, + 884508555, + -1, + 848298985, + 329703568, + 29518398, + 810212089, + 341841496, + 762406, + 874752028, + 528490395, + 639460925, + 577577688, + 593842228, + 694105973, + 519190909, + 362724039, + 814389877, + 470838829, + 34034166, + 479852135, + 507352596, + 230146463, + 249696740, + 284765583, + 339000136, + 378015353, + 341463247, + 466281773, + 400532257, + 253101333, + 157290611, + -1, + -1, + -1, + 823095953, + 803636344, + 124223920, + 127581282, + 185445094, + 521939119, + 194091780, + -1, + 484925352, + 751740443, + 125080655, + 915062812, + 536477723, + -1, + 235508981, + 154500857, + -1, + 175598890, + 320266391, + -1, + -1, + 914211106, + 247538616, + 170410349, + 237772558, + 674069970, + 975962675, + 371447213, + 823728675, + 986182120, + 600038712, + -1, + -1, + -1, + 953025143, + 117495845, + 805775688, + -1, + 936601208, + -1, + -1, + 599511714, + 347817030, + 506168629, + 129972831, + -1, + 406371598, + -1, + 70355484, + 397940321, + -1, + 975817191, + 702900379, + 198564124, + 354026515, + -1, + 286382689, + 444125726, + 689585128, + 101248436, + 302118725, + 111825030, + -1, + 529270394, + -1, + 209339724, + 785461554, + 393187513, + -1, + -1, + 858766172, + 284689706, + 203310420, + 662579610, + 755916459, + 658810012, + 524658891, + 347913921, + 966675405, + 681932175, + 25746628, + -1, + -1, + -1, + 396748035, + 859044129, + -1, + 991104902, + -1, + 896952179, + 415049057, + 335593384, + 504533560, + 910177993, + 113613414, + 64994456, + -1, + 14810114, + 43523576, + 319794615, + -1, + 99653072, + 781767022, + 168485125, + -1, + -1, + 943843756, + -1, + 637270978, + 568343554, + 964977979, + -1, + 799244579, + 351670590, + 794961296, + 274287051, + -1, + 871120096, + -1, + 365984930, + -1, + 498065525, + 662044802, + 138164107, + 948832928, + 447950260, + 626307271, + 463459251, + 113895241, + 377720293, + 447633493, + 741001738, + 16033023, + -1, + 605228703, + -1, + 488178519, + 436775136, + 879201808, + 636909036, + 608979464, + 784367210, + 863485662, + 191128383, + 345815222, + 721793273, + -1, + 586070351, + 302507166, + -1, + 39442680, + -1, + -1, + -1, + 570809174, + 169556577, + 942567685, + 162602495, + 232797504, + 247408680, + -1, + -1, + 909325390, + 453976893, + -1, + 956252985, + 46775312, + -1, + 217403806, + 82203777, + 689973612, + 471339216, + 829967471, + -1, + 967958949, + 634798567, + -1, + -1, + -1, + 950630453, + 737109008, + 667356534, + 204025266, + -1, + 49996489, + 739664638, + 341544581, + 525850991, + 732061150, + 938094798, + 1791961, + 623369922, + 869409232, + 988437506, + -1, + -1, + 536088104, + -1, + 360670952, + 345658519, + -1, + 47303418, + -1, + 351701981, + 921070304, + 396666417, + -1, + 164842801, + 226995200, + 390126573, + 341630315, + -1, + -1, + 766125404, + 145825416, + -1, + 694435091, + -1, + -1, + 505555681, + 732399763, + 70181168, + 13866548, + -1, + -1, + 926513490, + -1, + 238352065, + 980653218, + 184406574, + 77018226, + 194971865, + 438909926, + 813445877, + 824977277, + 565353433, + 178974590, + -1, + 674513747, + 233437868, + 560713691, + 438327081, + -1, + 339891192, + 775187135, + -1, + 508163413, + 562692423, + 954899104, + -1, + 65141641, + 787847328, + 13543544, + -1, + -1, + 560507111, + 385331862, + 968459408, + 932316476, + 112596387, + 866130843, + 890046639, + 593370097, + 312034063, + -1, + 172852742, + 231723768, + 802040087, + -1, + 135625537, + -1, + 437842051, + 661468974, + 796471765, + 887596965, + -1, + 648007411, + 808487192, + 521031152, + 554376592, + 676562924, + -1, + -1, + 783521393, + 248258048, + 125243461, + 987233002, + 748144531, + 849883053, + 752423704, + 539331605, + 849044935, + 941172280, + 955442887, + 222335666, + 571702589, + 300043248, + 190554394, + -1, + 803256357, + 574933634, + -1, + 892110683, + -1, + -1, + 830183555, + 868916792, + -1, + -1, + 62515755, + 314052945, + 816428210, + -1, + 462412031, + 233521925, + 924307341, + 427769562, + 423680364, + 111505628, + 52275807, + -1, + -1, + -1, + -1, + 880570012, + 438122533, + -1, + 255105182, + 256454004, + 715960630, + 37660927, + 96491051, + -1, + 988970152, + -1, + -1, + -1, + -1, + 485213782, + 675325633, + 383157514, + 136784715, + -1, + 602440493, + 627089381, + 632475936, + -1, + 906271074, + 691142330, + 24820875, + 452997104, + 380414015, + 314104256, + 956589356, + 551376961, + 255422656, + 781146546, + 428764704, + 882678736, + 753322650, + -1, + 232033420, + -1, + 764919824, + -1, + 956774368, + 398424577, + 767772689, + 787999934, + -1, + -1, + 741951628, + -1, + 315706719, + 394646787, + 825528423, + 935595213, + 361537850, + -1, + 663683609, + 504236140, + 39027616, + -1, + 865847964, + 797915105, + 421115035, + 667483417, + 392219108, + 216674876, + 103467745, + 952427082, + 832719112, + 892326115, + -1, + -1, + 834071487, + 279633107, + 529092817, + 986182040, + 482922756, + 742018660, + 98335991, + 632799622, + 167516238, + -1, + 753234811, + 23681527, + -1, + -1, + 514013026, + -1, + 879336519, + 870968749, + 298112911, + 333393458, + 813231864, + 493321568, + 61582266, + 587465736, + 566280527, + 382483437, + 847131570, + -1, + -1, + -1, + 966442725, + 619483357, + 849901889, + -1, + -1, + 646449753, + 243943082, + 368142613, + 878480209, + -1, + -1, + 979256846, + 953888461, + 357806679, + 416183281, + 144273751, + -1, + 656493304, + -1, + -1, + -1, + 188439542, + 9930992, + 274040958, + -1, + -1, + 780628102, + 35571613, + 376471020, + 562140976, + -1, + 864845121, + -1, + 686147297, + -1, + 52983625, + 978312908, + 710093360, + 733658745, + 379665863, + 154929564, + 174686272, + 74557868, + 626837544, + 273427907, + 6945991, + 282041793, + 645025191, + 348277420, + 524756336, + -1, + 694738930, + 695075725, + -1, + 518901592, + 71640457, + 83823528, + 157094121, + 457996692, + 893805769, + 145365591, + -1, + 266173408, + -1, + -1, + -1, + -1, + 517557297, + -1, + 724347667, + 606317716, + 388941452, + 560843396, + -1, + -1, + 521773185, + 193860774, + 897256731, + 604940978, + -1, + 653358836, + 914099279, + -1, + -1, + 391171447, + 581034773, + 834218304, + 68569190, + 145211204, + 712193939, + 155119954, + 306749302, + 358769292, + 158654277, + 763822051, + 547220985, + 137550986, + 176306274, + 104377185, + -1, + 948912543, + 609170084, + 488073715, + 672587344, + 877798609, + 706398192, + 286563973, + 689767813, + -1, + 732457051, + 581059583, + 273268819, + 232184017, + 899666505, + 255162472, + 329481414, + 186652098, + 860446657, + -1, + 447263543, + 887786391, + 64810505, + 673413286, + 288639431, + -1, + 890315172, + 7995562, + 560216667, + 465111381, + 586655706, + 865494416, + 273064501, + 125317010, + 386689203, + -1, + 685731047, + -1, + 170716017, + -1, + 673209476, + 915583781, + -1, + -1, + 197474091, + -1, + -1, + 218376212, + 302469249, + 282860603, + -1, + 900956022, + 730012855, + 736347328, + 373708740, + -1, + 900776097, + 161471567, + 26187849, + -1, + -1, + 73666722, + 342452424, + -1, + 786564903, + -1, + 161483322, + 309165043, + 947781394, + 505486181, + -1, + 357650841, + 927675819, + 241612475, + 796162730, + 943592711, + -1, + -1, + -1, + 985988809, + 437131376, + -1, + 690511, + 476971206, + -1, + 416900442, + 661279165, + 137747558, + 303436602, + -1, + 151220699, + 427800591, + 967359432, + 776069839, + -1, + 211416435, + -1, + 618815585, + -1, + 507728890, + -1, + 24608350, + 370909787, + 128665964, + -1, + -1, + 83691903, + 363668772, + -1, + 852802508, + -1, + 964996238, + -1, + 182145470, + 186263482, + 28491388, + 426885979, + 316825670, + 451612459, + 593915630, + 693749750, + 19661366, + 729550427, + 700494869, + 959125066, + 868196978, + 392346158, + 540182779, + -1, + -1, + 505635358, + 153155688, + 627712510, + -1, + 196728412, + 178346863, + -1, + -1, + -1, + 299265915, + -1, + 627327385, + 318394536, + 867849101, + -1, + 237977989, + 727187629, + -1, + -1, + 796368957, + 598219950, + -1, + -1, + 650262660, + -1, + 743315525, + 335244228, + 349231323, + -1, + 86944367, + 102462515, + -1, + 770576575, + 276260713, + 262071455, + -1, + 891394653, + 393006130, + 930207251, + -1, + 228794409, + 163470345, + -1, + 743499149, + 15154130, + 625366334, + -1, + 391275915, + -1, + 660028940, + 124263315, + -1, + 519807573, + 478850794, + 572479339, + -1, + -1, + 89973686, + 978351830, + -1, + -1, + -1, + 701334152, + 666937160, + 512261328, + 815398839, + -1, + -1, + 345531913, + -1, + -1, + 170584782, + -1, + 48467991, + 756647240, + 934612044, + 644468447, + 124487562, + -1, + 881655824, + -1, + -1, + -1, + 612274859, + 413743216, + 696131397, + 776590728, + 791369964, + 356474763, + 765651045, + 998789926, + 995572752, + 791925853, + 226872382, + 661930879, + 214693216, + 289525637, + 532465351, + 917667554, + 86394294, + 749030465, + 607348663, + -1, + -1, + 487272434, + -1, + 455401885, + 358347599, + -1, + 306065867, + -1, + 346535083, + 981845044, + -1, + 911689669, + 795265201, + -1, + 474684536, + -1, + 889564071, + 975786473, + -1, + -1, + 80380, + 31330019, + -1, + 97610133, + -1, + 617971635, + 106522837, + 946495285, + 938205078, + 119822111, + 960774462, + 916513962, + 152778217, + -1, + -1, + -1, + 574864918, + 475863557, + 385050953, + -1, + 659523470, + 140646537, + 955833748, + 387312339, + 246756996, + 183476592, + 419571748, + 2476822, + 272316903, + 474812266, + 546498456, + 331988321, + -1, + -1, + 50561535, + 334371376, + -1, + 560673643, + -1, + 753038884, + -1, + -1, + 795734681, + 194992471, + 197663037, + 981880307, + -1, + 914268360, + 160313434, + 688534061, + 835622291, + 309269955, + 714091600, + -1, + -1, + 828707530, + 803928628, + 486087297, + 806738596, + 533998750, + 176289274, + 956365691, + -1, + 593700782, + 852630990, + 103158285, + -1, + -1, + 42465462, + 92373302, + 644164467, + 125273834, + 927093368, + 45005549, + 620628000, + 495453096, + -1, + 449060565, + 122357456, + 798748639, + 967960058, + -1, + 287579089, + 981952254, + 52201039, + 101026567, + 231493924, + -1, + -1, + 364302386, + 121354130, + 640825399, + 171836680, + 945817442, + -1, + 281059725, + 929902803, + -1, + 427861575, + 434417037, + 54602447, + 801304807, + -1, + -1, + 567630102, + 636339136, + -1, + -1, + 297936140, + 128572589, + -1, + -1, + 66878365, + 237842053, + 36982945, + -1, + -1, + -1, + 80345970, + -1, + -1, + 550823460, + 227697591, + 574565380, + 160401683, + -1, + -1, + 851001567, + 622936345, + 295968780, + 180943635, + 832510421, + 451093442, + 590862058, + 772044327, + 246114472, + 502038628, + 369662414, + 764299161, + 50687424, + 194535244, + 173968170, + 485591566, + 114003446, + -1, + 668833495, + 865391151, + -1, + -1, + 56171374, + 162604196, + -1, + -1, + -1, + 344273105, + 11250931, + 991840041, + 686476106, + -1, + 691379248, + -1, + 635955406, + 499555520, + 484611676, + 650777020, + -1, + 742432812, + 871018806, + 174380896, + 311461760, + 497087630, + 243985105, + 289998698, + 644318640, + 614415621, + 732493607, + 211189454, + 108737424, + 970036290, + -1, + 884351131, + 866948105, + -1, + 828885703, + 454090055, + -1, + 630912454, + 787632906, + -1, + 67400607, + -1, + 492960869, + 290635168, + 759584939, + 549552227, + 49800006, + 800374163, + 690750612, + -1, + 121363724, + -1, + -1, + 875259819, + 553297092, + -1, + 751350752, + 665778863, + 951452055, + -1, + 348558148, + 870909062, + -1, + 668455785, + 863421278, + 138102712, + 106306703, + 220260320, + -1, + 843165859, + -1, + 981158007, + 192587092, + -1, + 387641651, + 746292667, + -1, + 700597616, + 705047765, + 786448521, + 505586, + 436292871, + 751033405, + -1, + 765913818, + 844088989, + 485295659, + -1, + -1, + 92089461, + 790553610, + -1, + -1, + 861438266, + 499401507, + 669857060, + 618608668, + 981358942, + 544070240, + -1, + 909587129, + -1, + 231549255, + 649764467, + 634946499, + 260136849, + -1, + -1, + 957367748, + 898831561, + -1, + 210889247, + 690679315, + -1, + 253739080, + 444103403, + 695096705, + 575137357, + -1, + 225465755, + 984907053, + 477884465, + 819278819, + 462998119, + 166834107, + 214367602, + -1, + 78772811, + -1, + 562444783, + 175034608, + -1, + 320268666, + 645074539, + 156784009, + -1, + 807786667, + -1, + 39785258, + 501385294, + 128250734, + -1, + 659537883, + -1, + 37746892, + -1, + -1, + 339478545, + 985045329, + 835871870, + 549333067, + 312527957, + 409622935, + 639901696, + -1, + 644752360, + 549085970, + 532290721, + -1, + -1, + 871964078, + 996207043, + 846163715, + -1, + 772832563, + 613096735, + 435203737, + 378192928, + 347506833, + -1, + 303323503, + -1, + 392774219, + -1, + 784851242, + -1, + 445042911, + -1, + 516340040, + 621128977, + -1, + 484403861, + -1, + 773276989, + 5112849, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 969290450, + -1, + 924494427, + 335721881, + 37217213, + 324492238, + 640954074, + 768496914, + 984144737, + -1, + -1, + 544582829, + 611541219, + 478548279, + 935308694, + -1, + 344956079, + 790647133, + 727889321, + 426077523, + 797699951, + 940355773, + 139919875, + -1, + 880109902, + 367619686, + 852853465, + 638825635, + 769325734, + 184105289, + 528390156, + 399565937, + 787145027, + 278215186, + 155016555, + -1, + 511775059, + 114997931, + -1, + -1, + -1, + 524307112, + 500416880, + -1, + 777734941, + 664074025, + -1, + -1, + 43923745, + 382237774, + 550885685, + -1, + -1, + 666779390, + 818296937, + 144941536, + 450797870, + 58927050, + 735211975, + 643508808, + 527937192, + 929344517, + 111761184, + 79449860, + 568528184, + -1, + 382913398, + 890986226, + 216485030, + -1, + -1, + 661126253, + 419860009, + 711368229, + 784195165, + -1, + 780134010, + -1, + 483343493, + -1, + 188867382, + 168637035, + -1, + 585728964, + 6249062, + 16227374, + -1, + 669095860, + 719758135, + 830263767, + 250479601, + 701247557, + 680390290, + 74470802, + 122513627, + 268146496, + 333067893, + 233386789, + 774239662, + 853012348, + -1, + 485353399, + 428720068, + 428724084, + 226655290, + 996184829, + 518060552, + 743744431, + -1, + -1, + 313506274, + 301521432, + 269221220, + 623848169, + 874906202, + 726116973, + -1, + 243874139, + 418516596, + -1, + 885238514, + 254481778, + -1, + -1, + -1, + 741682013, + 588462955, + 491841977, + 83805899, + -1, + -1, + 101470013, + -1, + 132143937, + 826988024, + 229037998, + 588549781, + 917484066, + 771462165, + 845457195, + -1, + -1, + 143608951, + -1, + 644639714, + 708264405, + 724557572, + -1, + -1, + -1, + -1, + 223466179, + 656285082, + 977904080, + -1, + -1, + 987359701, + 122780039, + 874519441, + -1, + 631304016, + -1, + 918115313, + -1, + 310498966, + 852410478, + -1, + -1, + -1, + 103923056, + -1, + -1, + 843395495, + -1, + -1, + 905061136, + 204415560, + 588107986, + -1, + -1, + -1, + -1, + -1, + 639674530, + -1, + 937984819, + 936029163, + 3299792, + -1, + 789886611, + 451675799, + 580801112, + 143146242, + 986026819, + 772407159, + -1, + 160874676, + 976126, + -1, + 315329203, + 456831917, + 259083542, + 799591089, + -1, + 553880025, + -1, + -1, + 375535234, + 81141988, + 735745762, + -1, + -1, + 442501680, + -1, + 603645092, + 39892925, + -1, + 506385787, + -1, + -1, + 336446925, + 589646332, + 257515119, + 520992445, + 224620471, + 607285188, + 416843086, + 13946669, + 166637613, + 398484161, + 542249879, + 586824163, + -1, + -1, + -1, + 167232279, + 845779618, + 326833366, + 240403078, + 173825069, + 148094943, + 339064904, + 877791107, + -1, + 585590634, + 439981649, + 185708952, + -1, + 104630670, + 225431317, + 950842869, + -1, + -1, + 686842330, + 590637058, + 587924300, + 428667241, + -1, + 911622858, + 375248695, + 385054456, + 581758286, + 465544211, + 750166118, + 521656644, + 557586740, + 577141787, + 631716930, + 899085734, + -1, + 28701169, + 174182626, + 113740559, + 128151112, + 836280204, + 282444490, + 39203864, + -1, + 824220046, + 908761534, + 741308040, + 587827148, + 782861096, + 90852414, + 719483938, + 495205511, + 686625252, + 652819758, + 725135457, + 459095783, + 164685241, + 42297701, + -1, + -1, + 330998631, + -1, + 266806863, + -1, + -1, + 318344667, + -1, + -1, + 989910446, + 364635758, + 741628341, + 653273840, + 504850148, + 354136560, + 890311346, + 3121600, + 77466013, + -1, + 840926282, + 240374718, + 442020099, + -1, + 622250429, + 490639633, + 823220713, + -1, + 52031979, + 695604715, + 215554192, + -1, + 322533031, + 187813291, + 89190303, + 46260810, + -1, + 60970969, + 918192856, + 328383368, + 104419904, + 726486545, + 557209580, + 705744094, + 811493324, + 437299645, + -1, + 9172061, + 15505287, + -1, + 72821446, + 698888723, + 574865052, + 708445490, + -1, + 140231149, + 778717958, + 519518991, + 895627146, + 858067689, + -1, + 527822391, + 278338885, + 281227562, + 586341432, + 464771335, + 401379365, + -1, + 225460533, + 82946860, + 695238620, + 948672643, + 937971931, + -1, + 440345744, + 854406845, + 795191945, + -1, + 697881976, + 195139168, + 809456229, + -1, + 729937316, + 777456385, + 164643025, + -1, + -1, + 766595375, + 462665520, + 53808307, + 485562421, + 413192254, + 993980234, + -1, + -1, + 921702767, + 48000035, + -1, + 626414186, + 203030666, + -1, + 742385536, + 36466442, + 794316908, + -1, + 559750169, + 938324233, + 955668628, + 627128632, + -1, + 310702606, + 906934303, + 423172764, + -1, + 362246705, + 738791376, + -1, + -1, + -1, + 441661038, + -1, + 732487700, + -1, + 751657086, + 67891629, + 606733491, + 884689317, + 351130828, + 882511558, + -1, + -1, + 793882379, + 941128867, + -1, + -1, + -1, + 727766527, + -1, + -1, + 93187909, + 466944295, + 503326920, + 186945585, + -1, + -1, + 965945210, + 73966881, + -1, + 254377189, + -1, + -1, + 830107180, + 961930782, + 34713131, + 321680935, + 29070615, + 607325292, + 581910416, + 886772177, + 597710588, + 724208707, + 174043747, + -1, + 814651118, + 377291306, + -1, + 434565624, + 337479720, + 851843334, + 120406129, + 707450651, + 551331275, + 715673201, + 776001097, + -1, + -1, + 366791685, + 537022437, + 630199097, + 687335751, + 732520222, + 675060868, + 290359131, + -1, + 156030535, + 920774179, + 886539242, + 218857879, + 440930633, + 144401961, + 957440133, + 546773144, + 792386076, + 616771501, + -1, + 275207581, + 765730579, + 329374275, + 911804828, + -1, + -1, + -1, + 280983092, + 155929729, + 993547676, + 469278547, + -1, + 822046055, + 521404735, + 184989649, + 705445979, + -1, + 845129819, + 316730656, + -1, + 853099507, + 763469943, + 124722642, + -1, + 920621230, + 166095376, + 580522359, + -1, + 664156810, + -1, + 705105691, + -1, + -1, + -1, + 976777899, + -1, + 264979187, + 14426674, + 612580288, + -1, + -1, + 850896094, + -1, + 577410300, + -1, + 273425405, + 175424577, + 195727595, + 37081816, + 138533244, + 970810417, + 749367246, + 398522301, + 131744909, + 448794701, + 188054714, + 989192533, + 671433324, + 744797965, + 817492576, + -1, + 468499331, + 493465610, + 866116828, + -1, + 442306439, + -1, + 166082531, + 207622916, + 931713347, + 125351446, + 263006431, + -1, + 986766484, + -1, + -1, + -1, + 532382369, + 585352924, + 64031089, + 444457024, + 871469121, + 449028174, + 661109905, + 613141353, + 385645744, + 484541023, + 637721140, + 262705087, + -1, + -1, + 875935543, + 875738191, + -1, + -1, + 916770052, + 365849690, + 466551405, + 879441454, + 160139740, + -1, + -1, + 942765380, + -1, + 605979149, + 564473059, + 114499390, + -1, + 965167922, + 719657226, + 100376835, + -1, + 473376303, + -1, + -1, + 892300214, + 122729049, + -1, + 61082716, + 217192332, + 214934726, + -1, + 647895296, + -1, + 337118149, + 803921966, + -1, + 168609325, + 452637737, + 835146613, + -1, + 495442380, + 319079401, + 761188544, + -1, + 662816266, + 661150314, + -1, + 975832048, + 265596113, + 438725201, + -1, + 922380934, + 951732644, + 91037629, + -1, + 154768828, + -1, + -1, + -1, + 673925813, + 929693696, + 596000525, + 153063241, + 802691608, + -1, + -1, + 566530286, + -1, + 411591758, + 636054568, + 597741166, + -1, + 379951830, + -1, + 552465697, + -1, + 388736943, + 486456639, + -1, + 325896255, + -1, + 63108709, + 670566064, + -1, + 943127273, + -1, + 763910199, + -1, + 195229122, + 323056709, + 224583131, + -1, + 344283932, + -1, + 638396794, + 430453431, + 32119843, + 904252044, + 219359740, + -1, + -1, + -1, + -1, + 362742491, + -1, + 578936831, + -1, + 433241877, + 629544834, + 16055635, + 213588902, + -1, + 574045832, + 430599228, + -1, + 930064262, + -1, + 557979107, + 670961546, + 772439853, + 870746000, + 514309568, + -1, + 167129221, + -1, + 384091420, + 620164057, + 277236439, + 155932233, + -1, + 414727778, + -1, + 416940521, + -1, + 278648714, + 161096980, + -1, + 73055737, + 642823773, + 381332497, + -1, + 418754199, + 989645216, + 978194121, + 70989105, + -1, + 16298905, + -1, + 891322101, + 654696977, + -1, + 393648601, + 608735298, + -1, + 421192748, + -1, + 424739686, + 808028586, + -1, + 129889429, + 352591547, + 844507406, + -1, + -1, + 408725040, + 500988774, + -1, + -1, + 912626252, + 15715925, + 892317308, + 860710128, + 839719459, + -1, + 912870053, + -1, + -1, + 736464433, + 902366627, + 771313228, + 228407975, + 799608506, + 687858478, + 861561207, + -1, + 207487471, + 530727858, + 328936622, + 465161957, + -1, + 628304561, + 255993098, + -1, + -1, + 294003930, + 748709909, + 126504335, + 897034330, + 89650706, + 362877696, + 291566075, + 558975848, + -1, + -1, + 5251077, + 837176201, + 335008538, + 811273908, + 295722153, + 773390039, + -1, + 501566755, + -1, + 957026510, + 626836614, + 540992422, + 443687604, + 55097892, + 104498070, + -1, + 373695908, + 583055490, + 322627594, + -1, + -1, + 445382698, + 507651023, + 96866140, + 19257816, + -1, + 832665290, + -1, + 969445747, + 895638203, + 336438302, + 114186267, + 795675605, + 77904234, + 737671060, + 788555187, + 301572109, + 211694750, + 230748055, + -1, + -1, + -1, + -1, + 723793810, + 719449356, + 508367242, + 559258811, + 377758091, + 573000906, + 581413433, + -1, + 925309535, + -1, + 218866954, + -1, + 526919535, + -1, + -1, + 633289327, + -1, + 939574838, + 329992260, + 520293227, + 837687506, + 228756124, + 723656943, + -1, + -1, + 372041394, + 541931058, + 275621107, + -1, + -1, + 767913114, + -1, + -1, + -1, + 836682422, + 318617690, + -1, + 13258746, + 159011148, + -1, + -1, + 873894713, + -1, + 153245533, + 764166153, + 985569256, + 489722283, + -1, + 14248741, + 161716888, + 477590144, + -1, + 525395094, + 834479917, + 729984243, + 688860030, + 18434404, + 437870914, + 960615348, + -1, + 477961624, + 973851240, + 162905838, + -1, + 682787179, + 945342772, + -1, + 254239540, + 272817394, + 668411608, + 724475967, + 195359823, + 237384854, + 941747816, + 559430765, + 223043695, + -1, + -1, + -1, + 356206278, + 897604615, + 209843265, + 97915857, + -1, + 27275271, + -1, + -1, + 38115602, + 847606442, + -1, + -1, + 151889364, + -1, + -1, + 979907161, + 416975359, + -1, + 870302499, + 241433073, + 106911228, + 232526842, + 427891443, + 138327728, + 148042436, + -1, + 846945784, + 732365607, + -1, + -1, + 946922751, + 951376410, + -1, + 990809694, + 566097368, + 577700136, + -1, + 858018772, + 876767646, + 186931664, + 523582194, + -1, + 134156835, + 540931353, + 159550305, + 218406736, + 847551589, + 628131358, + 288174161, + 245368978, + -1, + 298473218, + -1, + 371683815, + 80181949, + 1614780, + 31239184, + 567787356, + -1, + 73447751, + 217134842, + 894750258, + 877570986, + -1, + 226154574, + 488929542, + 937458496, + 30483882, + 227508977, + 106569748, + 518567315, + -1, + 173113860, + 303711918, + 52037149, + 275484030, + 749401532, + 711295557, + 436292885, + 536284461, + -1, + 87403585, + 594158135, + -1, + 177288224, + 775327783, + 232560791, + 830501350, + 247950127, + 49883790, + 771588693, + 699909053, + 782473675, + 148342167, + 944108526, + -1, + 575843985, + -1, + 993257180, + -1, + 343080171, + 245324213, + 806679022, + 645681435, + -1, + 599839462, + -1, + 5028728, + 384565743, + -1, + 57136891, + -1, + 957971755, + -1, + -1, + 398147472, + 973624436, + -1, + 475539035, + 383156913, + 314942992, + 95765343, + 521257872, + 573927744, + -1, + 506227415, + 481595283, + 485523324, + 916620833, + 603445786, + -1, + 546008674, + 950129624, + 949912015, + 217913468, + -1, + 823283868, + 141211293, + 785115952, + 253074902, + 942440728, + 669193563, + -1, + 55657285, + 254728186, + 342055951, + 710841386, + 798102370, + 678716747, + 648600465, + 441859316, + 135968104, + 474514350, + -1, + -1, + 636219968, + 822494910, + -1, + -1, + 351555776, + -1, + 347016109, + 604593387, + -1, + 786455894, + 301731522, + 856822266, + -1, + 798103593, + -1, + 152333739, + 861261501, + 585398805, + 897090632, + 397556217, + -1, + -1, + -1, + 581446230, + 576493525, + -1, + 396665932, + -1, + 706195807, + 785972581, + 827933420, + 804969078, + -1, + -1, + 247327099, + 295476772, + 270683056, + 695907141, + 630863844, + -1, + -1, + 899451786, + -1, + 654728871, + 407229209, + 285167551, + 1961017, + 559568055, + 754414823, + 192168929, + 19827712, + 910820121, + -1, + 651570649, + 154883017, + 877975870, + 455084740, + -1, + -1, + 421075799, + 776789451, + 354177488, + 624110070, + 592787742, + 978332873, + 562534952, + 97532841, + -1, + -1, + -1, + 232125221, + 576558343, + 604198436, + 474727723, + -1, + 861107913, + 228351889, + 337479256, + 685850373, + 756910822, + 967561140, + 267847925, + -1, + -1, + -1, + -1, + 961797336, + 653354891, + 467811809, + 724796893, + 70337966, + -1, + 371262847, + -1, + -1, + 819180502, + -1, + -1, + -1, + 593081386, + 221739877, + 555784447, + 710859942, + 306283504, + 73152218, + 48385134, + 317864451, + 436666067, + 208643325, + 737350762, + 126437048, + -1, + -1, + 953528249, + 151952703, + -1, + 418540297, + 86496253, + 14193858, + 223899971, + 639487235, + -1, + -1, + -1, + 216654728, + 34498424, + 85655904, + 780858152, + -1, + -1, + 142163828, + -1, + 18618457, + 477027384, + -1, + 513686684, + 906924444, + 539187338, + -1, + -1, + 366961415, + -1, + 2207746, + 656372483, + 716644563, + -1, + 473762596, + -1, + 291829803, + 11828655, + 899766550, + 120822801, + 602830759, + -1, + 58562445, + 877490500, + -1, + -1, + 609944954, + 831954196, + 59095181, + 397254090, + -1, + -1, + -1, + 389456800, + -1, + 137188461, + 42423253, + -1, + 579653268, + -1, + 589016936, + 52108254, + 750310970, + 705580280, + -1, + -1, + -1, + -1, + 819373946, + -1, + -1, + 144846448, + 675048682, + 36902185, + 353636886, + -1, + -1, + 392489342, + 196503678, + -1, + 50145479, + 490411120, + -1, + -1, + 255069367, + -1, + 403236586, + 989049396, + 327958869, + 65415651, + -1, + 945682386, + 791011979, + -1, + 131745000, + 690882015, + -1, + -1, + 93619964, + 899302451, + 425734325, + 673622492, + 513876064, + -1, + -1, + 995106587, + 360209141, + 929000835, + -1, + -1, + 265979103, + -1, + 669609809, + 611438122, + 200497723, + -1, + 616281628, + -1, + 361449914, + 999240503, + -1, + 553109769, + 115391696, + 969862544, + 965846107, + -1, + 985994410, + -1, + 700170331, + 956715284, + -1, + 387835269, + 564073927, + 483326481, + 485768718, + 280731277, + -1, + 462201341, + 351199776, + 954166062, + 380515454, + 985148503, + -1, + -1, + 797447775, + 473560362, + -1, + 438574533, + -1, + 103246364, + -1, + 870258129, + -1, + 571077937, + 154412897, + 831452639, + 60367469, + -1, + 968070096, + -1, + -1, + -1, + 321383133, + 812833018, + 832898457, + 419397979, + -1, + -1, + -1, + -1, + 90729775, + 300859025, + 149547442, + -1, + -1, + 60875492, + 877789064, + 603823701, + 100957041, + 468009631, + 648810495, + -1, + 971096119, + 512065529, + 275812010, + 404166031, + 594805365, + -1, + 148789674, + 790218716, + 760191331, + 147051210, + -1, + 498349671, + 868696052, + 600068683, + 585131470, + 298166903, + 348602596, + 400050102, + -1, + -1, + -1, + 763030570, + 728220716, + 517245592, + 126555415, + -1, + 221388256, + -1, + 378181444, + 513000952, + 134405356, + 832354132, + 586712906, + 711940286, + -1, + 914464967, + -1, + 261933534, + 68303670, + 530641096, + -1, + 3077023, + -1, + 177775313, + 634434169, + 534883192, + -1, + 605284516, + 104722384, + 175271206, + -1, + 799578747, + 605166272, + 84439809, + 554596343, + -1, + 535452629, + 990788570, + -1, + 514836270, + 861429890, + 998371273, + 937359682, + -1, + -1, + 847327638, + 475719003, + 672500591, + 477465654, + 559316865, + 24138354, + 933476896, + -1, + -1, + -1, + -1, + 394576657, + -1, + -1, + 132769639, + 914189664, + 940712805, + 449314646, + 815887194, + 934878826, + -1, + 566855263, + 52398497, + 737289323, + 984954517, + -1, + -1, + 534163208, + 341963857, + 523408454, + 364098984, + 357434253, + 401035079, + 958553184, + 143705643, + 194663051, + -1, + 573949601, + 270334411, + 395024173, + 607381361, + -1, + -1, + 181729043, + -1, + -1, + -1, + 950958318, + 381595254, + 330957708, + 396654344, + -1, + 174205229, + 584300713, + 824340527, + 251394029, + 856219935, + -1, + 14380911, + -1, + 561106941, + -1, + 398999325, + 373418019, + 457455666, + 382501799, + 889128206, + -1, + 610198087, + 580386542, + 680029472, + 654959334, + 564463303, + 984175772, + 177134659, + -1, + 171075189, + 254417759, + -1, + -1, + 756948198, + -1, + 338730192, + 6437294, + -1, + 345600456, + 158895202, + 408942358, + 505779932, + 790942711, + 245243568, + 538834682, + -1, + 674080790, + -1, + 830435274, + 796958576, + -1, + 710189925, + 416371211, + 156973444, + 641649976, + -1, + 231806842, + -1, + 503510183, + -1, + 572848935, + 646606093, + 55127303, + 390396901, + -1, + 304196065, + -1, + 163847164, + -1, + -1, + 998562835, + -1, + 723388467, + 767941069, + 881244251, + 457989447, + 905342035, + 579484783, + 737573666, + 544936434, + 212474802, + 503734734, + -1, + 68734127, + -1, + 141732055, + -1, + -1, + -1, + 36795280, + 567399067, + 951492314, + 455580130, + 21058701, + -1, + 345765591, + 641894866, + 707913404, + 375564187, + -1, + 47579750, + 501196343, + -1, + 389712618, + 768598171, + 909245052, + 586727246, + 456989628, + 500251743, + -1, + -1, + 633788818, + -1, + -1, + 958586715, + -1, + -1, + -1, + 48293527, + 522006701, + -1, + 492545773, + -1, + 552473034, + 421615469, + 809139925, + 228356011, + 847298204, + 868630051, + -1, + -1, + 466363167, + 660789276, + -1, + -1, + 196359752, + 209648359, + 448561737, + 520781909, + -1, + 642268945, + 502291983, + 205228694, + 581917925, + 810367548, + 426436877, + 239579338, + 81582827, + 332778471, + -1, + 915648577, + 19886357, + -1, + -1, + 353155893, + 263938205, + 513278838, + -1, + -1, + 451778546, + 871765852, + 31895442, + 602392583, + 39297258, + 247431511, + 468685084, + 658810993, + -1, + -1, + 526588737, + 708587000, + 723855124, + 271099725, + -1, + 140025556, + 653739002, + -1, + -1, + 749869328, + 373656016, + -1, + 216969568, + -1, + -1, + 625343036, + 772064183, + -1, + 225352569, + 646455386, + 534829305, + 333400355, + 851365401, + -1, + -1, + -1, + -1, + 436351446, + 505764337, + 556364293, + -1, + 444980917, + 179599059, + 281027767, + 811164293, + -1, + 426050513, + 762346520, + -1, + 625603263, + 84857919, + 867301583, + 494925681, + 199833692, + 884538144, + 844001800, + 228831446, + 841685779, + 346899114, + 358248012, + 354157622, + 605625160, + 373507607, + 851683199, + 672035362, + 745765500, + -1, + 362318645, + -1, + 274107438, + 866116063, + 435334231, + 482257376, + -1, + -1, + 550662176, + 64783800, + 155933245, + 894457218, + -1, + -1, + 698696973, + 518479649, + -1, + 262330166, + 316066786, + 86451814, + 135132099, + 247456021, + 306856911, + 832675989, + -1, + 701285022, + 42346438, + -1, + 663024299, + 264128269, + 917418346, + 434085843, + 944186081, + 286812101, + 840099643, + 597229394, + 563244065, + 217989949, + 736028981, + 195177862, + 441006538, + 452602618, + -1, + 280129905, + 506021101, + -1, + 288652192, + 999837129, + 321840410, + 907184953, + -1, + -1, + 151000254, + -1, + 189731191, + 417398076, + -1, + 509982531, + 309011375, + 934639660, + 971018691, + -1, + -1, + 800981416, + -1, + 349695272, + -1, + -1, + -1, + 167173700, + 963221988, + 370263260, + -1, + -1, + -1, + 298241308, + 46993163, + 762131243, + 260677963, + 416261262, + 477387952, + 967760837, + -1, + -1, + -1, + 94017365, + 591358932, + -1, + 582375491, + 65155097, + 810307837, + -1, + -1, + -1, + 484877739, + -1, + -1, + -1, + -1, + 766002638, + -1, + 494403980, + 191804275, + 465377826, + -1, + 484359999, + 636966298, + -1, + -1, + -1, + 572600397, + 215657614, + 259737934, + 989752517, + 725797682, + -1, + 143200544, + 109204242, + 191430422, + 532829687, + -1, + -1, + -1, + -1, + -1, + -1, + 526525154, + 798656474, + 625572561, + -1, + -1, + 50349590, + 415983365, + 43351078, + 996171964, + 410627842, + 192291032, + -1, + -1, + 983947699, + 182185666, + 147172232, + -1, + -1, + 500533016, + 810721726, + 916871404, + 480467371, + 699715773, + 415657307, + 327104238, + 615469359, + 101277876, + -1, + -1, + -1, + 261960947, + -1, + 287952580, + 701222033, + 140518942, + 396089213, + 876206830, + 697745101, + 578005486, + -1, + 97108946, + 715454276, + 104390934, + 215100609, + 103094761, + 192781708, + 740918665, + 345546375, + 784319559, + 430149130, + 996164459, + -1, + -1, + -1, + -1, + -1, + 870458357, + 233842754, + -1, + 450473131, + -1, + 433596013, + 985749680, + -1, + -1, + 325950559, + -1, + 95849053, + 123707742, + 200876082, + 584105591, + 121371576, + 620157142, + 121634653, + 59029428, + 318283726, + 625870454, + 657617730, + -1, + 13009050, + 314702475, + -1, + -1, + -1, + -1, + -1, + 776595387, + 583054410, + 408848687, + 259280533, + 199058697, + 423153396, + 829215327, + 841395950, + -1, + 509629863, + 831169096, + 319359010, + 828220767, + -1, + -1, + 903899684, + 835357210, + 171929872, + -1, + 309667713, + 920090648, + 695813444, + 255475533, + 767025716, + -1, + 484686339, + -1, + 923528812, + -1, + -1, + -1, + 90772033, + 481050558, + 466637642, + 589674050, + 598972808, + 660598532, + 99041311, + 914535681, + 554555983, + -1, + -1, + 72011308, + 868049756, + 67515452, + 545297651, + -1, + -1, + 102546899, + 877933335, + 810607419, + 20680734, + 323325353, + -1, + -1, + 163041024, + 192884986, + 858167223, + 696647359, + 475279008, + 637010664, + 676691805, + 12019995, + 150791818, + 897912087, + -1, + 838015807, + 230309353, + 263958179, + 678800273, + 888528287, + 702885115, + -1, + -1, + 827984151, + 778343820, + 328789560, + 354945179, + 784040295, + 880727128, + 367989204, + 550591952, + 401176421, + 387059350, + 577583177, + 115584953, + 957236637, + -1, + -1, + 829481052, + 796555410, + 148946028, + 587940769, + -1, + 783878381, + 925795820, + 662337445, + 401298438, + -1, + 910458957, + -1, + -1, + 724598460, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 199630373, + 377457567, + 981518255, + -1, + 999190568, + -1, + 446708867, + 311518851, + 406053203, + 948404690, + 30925296, + -1, + -1, + -1, + 849602756, + -1, + 667787022, + 34375274, + -1, + -1, + -1, + -1, + 411590279, + -1, + -1, + -1, + -1, + 908469084, + 548187514, + 513456819, + 788650801, + 849259056, + 327456471, + 270279221, + 472355179, + 861429321, + 563854148, + -1, + -1, + 72642277, + 928087084, + 867851280, + 284945208, + 422298119, + 731929793, + 43464985, + 745151366, + -1, + 351182327, + -1, + 146202941, + 25974603, + 921403701, + 561733440, + 897828703, + -1, + 613768312, + 189619239, + 316028608, + 254779137, + -1, + 288368383, + 115270040, + -1, + -1, + 663995884, + -1, + 528971391, + -1, + 294051568, + 80076272, + -1, + 483471793, + 950320458, + -1, + 93117926, + -1, + 470787464, + 832903490, + 241922267, + -1, + 46577749, + 550831530, + 678357009, + 726273040, + 717818647, + -1, + 338518254, + 229490737, + 615683324, + -1, + 309468298, + -1, + 587374888, + 541526173, + -1, + 1944700, + 666871222, + -1, + -1, + -1, + 653799831, + -1, + -1, + 771699241, + 929930508, + 785966133, + -1, + 760404984, + 776851877, + 454286398, + -1, + 273759092, + -1, + -1, + 151552066, + 125119400, + 983392356, + 305664056, + -1, + 783715515, + 23590021, + 379578781, + 840699795, + 848317165, + 582654135, + 428527709, + 875847717, + -1, + -1, + -1, + 580900496, + 529699177, + -1, + 402257521, + 174469512, + 212790948, + 65767724, + 153195490, + 302356512, + 361002031, + -1, + 912183390, + 765770490, + 271052169, + 826948293, + 434585798, + 17512607, + -1, + 573606181, + 580601980, + 413103296, + 914865897, + 896900503, + 566445128, + -1, + -1, + 664587976, + 710439415, + 538287720, + 519655363, + 599196819, + 124622913, + -1, + 653198727, + 937315633, + 378439652, + 572086856, + 777873650, + 953769829, + 204656868, + -1, + 318539253, + 634120040, + -1, + 853319915, + -1, + -1, + 77516734, + -1, + -1, + -1, + 526319403, + 118449102, + -1, + 242161692, + 921513837, + 663325857, + 898618819, + -1, + 868175121, + 207505273, + -1, + -1, + -1, + 234242693, + 991862317, + 548112503, + -1, + 823244981, + -1, + -1, + -1, + 934925278, + 117773204, + -1, + 54136918, + -1, + -1, + -1, + -1, + 66089272, + 357779418, + 274424919, + 153224298, + 452425213, + 119694172, + 169708750, + 982349498, + 97329593, + -1, + 155130370, + 429859982, + 436676941, + -1, + 8219018, + 809293218, + 286414209, + -1, + 360148729, + 547550143, + -1, + 558013698, + -1, + -1, + 456953248, + -1, + -1, + -1, + 39039297, + 309404350, + 632594164, + -1, + -1, + 112302192, + -1, + 897541251, + 542183324, + 869745763, + -1, + 656237912, + 178790306, + -1, + 342735045, + 731290798, + 434202312, + 661246272, + 274390762, + 447186726, + 221447386, + -1, + 466556896, + 432925733, + 307576644, + 995268245, + 744179699, + 30113890, + -1, + -1, + 322207162, + -1, + -1, + 465445034, + 233069398, + 935219909, + 955076027, + -1, + 543299363, + -1, + 295810653, + -1, + -1, + 864389167, + -1, + 261355247, + 259044575, + -1, + 337623136, + -1, + 868967809, + 843011770, + 998304484, + 961322896, + 145695702, + -1, + -1, + 643502761, + 291583265, + -1, + 198070162, + 896178547, + 806111436, + 118043685, + 521442325, + 104967300, + 892652709, + 43076483, + -1, + -1, + 225297837, + 948428968, + -1, + 622127285, + 390435716, + 814412689, + 341362818, + 43796880, + 109462886, + -1, + -1, + 700532368, + 564220496, + -1, + 519120264, + -1, + 185510736, + 869476977, + 327387112, + 711210251, + 839334796, + 869956065, + 937926500, + -1, + 927637510, + 221155494, + -1, + 216687835, + -1, + -1, + 228157447, + 558599435, + 363843548, + 193220308, + -1, + -1, + 426399092, + 749849179, + 85105244, + 336584988, + -1, + 735281711, + -1, + 765362834, + 405743131, + 900135829, + 129594467, + 62177429, + 13224731, + 602401516, + 383391751, + 157080987, + -1, + 499096916, + 620838970, + 346473360, + 169828804, + 123609201, + -1, + 980499060, + 969182768, + 435537756, + -1, + -1, + 3419582, + 853235965, + 387656013, + 949219664, + 780543565, + -1, + 953513803, + -1, + 714863258, + 733977459, + -1, + -1, + 686565006, + -1, + -1, + 740640062, + 684481274, + 255181158, + 1626765, + -1, + 947269419, + 929937437, + 192140754, + 375907069, + 790050149, + -1, + -1, + -1, + 933505208, + 875490140, + 921398022, + -1, + 348858366, + -1, + -1, + -1, + -1, + 393833433, + -1, + -1, + -1, + 278108726, + -1, + -1, + 195346502, + 274252418, + 946269632, + 767130082, + 437648531, + 339112628, + 81932660, + 580316429, + -1, + 561198313, + -1, + -1, + 488009194, + 74592961, + 302113299, + 924494757, + 904188190, + 226569834, + -1, + 887506470, + 75333955, + 2124555, + 988176290, + 841746453, + 696649052, + -1, + 535877270, + 647145281, + -1, + 288594224, + -1, + -1, + 293192277, + -1, + -1, + -1, + 658682634, + 113240864, + -1, + 227530828, + -1, + 57940745, + -1, + 302179768, + 706492841, + 626107857, + 357106546, + 728301227, + -1, + 537107114, + -1, + 915176453, + 994186339, + -1, + 575236720, + -1, + -1, + -1, + -1, + -1, + 582313220, + 325359774, + 695441637, + -1, + 43153497, + -1, + 806799595, + 286933232, + -1, + 264280048, + 759329264, + -1, + -1, + 319135621, + 260288598, + 676134782, + 576299030, + 807090401, + -1, + 675761053, + 472181960, + -1, + 418992415, + 926954596, + 648334608, + 725249125, + -1, + 198318469, + 841199681, + 197908078, + 400710429, + 794102350, + 629897184, + 216614068, + -1, + 453945600, + 68158350, + -1, + 207653221, + 330041052, + -1, + 9874214, + -1, + 863005722, + 73657439, + 142006863, + 72336394, + 68222576, + -1, + 920243368, + 684532364, + 640408144, + -1, + -1, + 38607183, + -1, + 309131690, + -1, + 474066900, + -1, + -1, + -1, + 2001526, + 915900032, + 573193811, + 576403300, + 711267740, + 190535903, + 845494679, + 406107268, + 587636559, + 8632045, + 206552595, + -1, + -1, + 984483114, + 686121965, + 801427384, + -1, + 806095573, + 688917894, + 626147478, + -1, + 866957998, + 688778309, + 796188166, + 57220344, + 339227340, + 150827211, + 782004351, + 765393061, + -1, + -1, + 432481270, + -1, + -1, + 342532816, + 256672866, + 108872829, + 273504566, + -1, + 56396020, + 585706194, + 896349045, + 434147924, + -1, + 314860184, + 706145904, + 583792031, + 132209422, + -1, + -1, + -1, + 443889534, + -1, + 336148259, + -1, + -1, + 486160944, + -1, + 860572196, + 582821121, + 188869197, + 451793503, + 103294633, + 796129101, + -1, + 556045725, + 489758648, + 980980517, + -1, + 758709063, + 296256683, + 290434598, + 863267259, + 881358226, + 949210177, + -1, + 73297090, + 980665628, + 217440969, + -1, + 561877933, + 137690815, + 750277969, + 79568134, + 156475149, + 233565346, + 243896029, + 578697280, + 134127916, + 146910984, + 381837183, + -1, + 227177208, + -1, + 770089840, + 894702999, + -1, + 605253771, + 862250388, + -1, + 147770131, + 58635894, + 748886886, + 515564601, + -1, + 514703451, + 388237816, + 674470868, + 229298960, + 877293964, + -1, + 832421307, + 458205174, + -1, + -1, + 434961402, + 100768700, + 795195153, + -1, + 564442725, + -1, + 855352742, + -1, + 915576792, + 795739271, + -1, + 654490633, + 29598102, + 864450641, + 769621111, + -1, + 345096926, + -1, + 730321807, + 609589267, + -1, + 873549335, + -1, + 794069404, + -1, + 743502891, + -1, + 629339907, + 649833485, + 264605742, + -1, + -1, + -1, + 221159425, + 299388315, + -1, + -1, + 297974755, + 526987052, + -1, + 749194509, + -1, + -1, + 574532688, + 258032484, + -1, + 966395603, + 88922295, + 30728593, + 799123578, + -1, + 933450989, + -1, + 771969517, + 365712381, + 897241649, + 47730390, + 800993267, + 506353327, + 839479794, + 748326825, + 667652544, + -1, + -1, + 253377635, + 274988263, + 534521650, + 899055536, + -1, + -1, + 107083401, + 254523660, + 656923518, + 607117231, + -1, + 112835649, + 534331545, + 872585376, + 591835610, + 541947178, + -1, + -1, + -1, + 749759797, + 843597889, + 672418996, + -1, + 835859763, + 670044541, + 848474024, + -1, + -1, + -1, + 45478861, + -1, + 143094737, + 535515951, + 804747680, + 606338505, + -1, + -1, + 571305059, + 929165383, + -1, + -1, + 231686693, + 993621603, + 979110137, + -1, + -1, + -1, + -1, + 489105411, + 25228816, + -1, + -1, + 244605640, + -1, + 596937690, + 840057258, + 140171591, + 470296864, + 956261851, + 148966395, + 59026436, + 521862813, + 832273465, + 335651955, + 762969275, + 11239601, + 718218470, + 834735938, + -1, + 225367712, + 602399507, + 256363828, + 258032992, + 62459401, + 599811289, + 838039746, + 783513661, + 515583736, + 139785953, + 882097349, + 534851139, + 605808703, + -1, + 734974510, + -1, + 567352933, + -1, + -1, + 667529467, + -1, + 659351398, + 196728864, + 600882490, + 15119112, + 218638329, + -1, + -1, + -1, + 704259146, + 964639835, + 166761955, + 50195283, + -1, + 7839207, + 393286035, + 808061908, + -1, + 998913720, + -1, + -1, + 301667758, + 773594467, + 37568957, + 421560810, + 79712746, + 242969174, + -1, + -1, + 585256447, + 105725420, + 661872709, + 605755133, + 593870195, + 508660386, + 366564898, + 268707566, + 986060097, + 262682364, + 678086931, + 974006364, + -1, + 867202754, + -1, + 748891329, + 439894529, + -1, + 513047652, + 512201758, + 947014003, + 368559405, + 212186367, + 559668206, + 231802604, + 619530168, + -1, + 418067400, + 86481497, + -1, + 976373014, + -1, + -1, + 23637354, + 985210269, + -1, + 638988171, + 94607779, + 738168241, + -1, + 912392771, + -1, + 496851486, + 215192471, + 880641670, + -1, + 768210549, + 290318209, + 788990257, + 321195488, + -1, + -1, + -1, + 86067780, + -1, + 281955653, + 383364074, + 272295580, + 157788931, + 907856232, + 144219204, + 188081428, + -1, + 164612474, + 73493213, + 248822006, + -1, + 675555559, + 360995544, + -1, + 895314071, + -1, + -1, + -1, + -1, + 274124551, + 926767667, + 92808602, + -1, + -1, + -1, + -1, + -1, + 447714581, + 169477013, + 277744133, + 223103566, + 610129183, + 230464692, + -1, + -1, + -1, + 132933647, + 847256478, + -1, + 931328105, + 404084528, + -1, + -1, + -1, + 362129768, + -1, + -1, + -1, + -1, + 958595313, + 864445644, + -1, + 529398116, + 222908336, + -1, + 234312759, + -1, + 957821921, + 351228120, + -1, + 557059105, + -1, + 167313085, + 156609111, + -1, + 995343632, + 602291912, + -1, + 435325943, + 677731232, + -1, + -1, + 384239516, + 592815856, + 772367762, + 850137328, + 243618955, + 808112510, + -1, + 655131622, + 210285414, + -1, + -1, + 225675480, + 90835731, + 508641685, + 385726987, + -1, + -1, + 206818958, + 845673275, + 231616207, + 649530274, + 864074922, + -1, + 390882128, + -1, + 175347951, + 482539175, + -1, + 576070841, + 282493279, + 821723655, + 903769368, + 317087015, + -1, + 323538322, + 857203595, + 416947093, + -1, + 483925237, + 237337240, + 164181936, + -1, + -1, + 904071781, + 8302121, + -1, + -1, + 958653566, + 573461982, + -1, + 22376057, + 212493576, + -1, + 25331639, + 461557291, + -1, + 159263291, + 761813953, + -1, + 933744731, + 406893454, + 757925900, + 278368199, + 104695650, + 524671173, + -1, + -1, + -1, + 905094963, + -1, + 360479902, + 192492610, + 913885253, + -1, + 515418219, + 659919394, + -1, + 416133619, + 378476177, + 796173912, + -1, + 201531075, + -1, + 71924720, + -1, + 58863638, + 293726896, + 230111674, + 497202763, + 659413868, + -1, + 853739736, + 891236509, + 754204643, + 156422965, + -1, + -1, + 343075202, + -1, + 571616692, + 344665582, + 510192924, + 618298435, + 163406564, + -1, + 618301073, + 791682676, + 232601252, + -1, + -1, + 181954915, + 798536093, + 814536577, + -1, + 745804382, + -1, + -1, + -1, + 389870070, + 294347519, + 828528394, + 210371042, + -1, + 921099438, + -1, + -1, + 375886874, + 164112662, + 418341586, + 667879713, + 754738388, + 1517879, + 349169336, + -1, + 653969968, + 707085334, + 306737527, + 368733912, + 124071397, + 321058202, + -1, + -1, + 577557843, + -1, + 333177763, + -1, + 754109729, + -1, + 638927970, + 909141790, + 224851807, + 634475437, + 960386106, + 674734684, + 602322200, + -1, + 439682122, + 14633224, + -1, + -1, + 941703241, + 752915352, + -1, + -1, + 573323689, + -1, + 901600428, + 874910474, + 699704568, + 899830842, + 856065340, + -1, + 1603582, + 377775953, + -1, + 432224296, + 154619424, + -1, + 937876656, + 118939666, + 434548458, + 930833838, + -1, + -1, + 262723330, + -1, + -1, + 548369393, + -1, + 217707256, + 847204216, + -1, + 76142435, + 792482113, + -1, + -1, + 6737662, + 243617915, + 774283397, + 827833782, + 38711761, + 944239952, + 957805541, + 596428521, + 86030091, + 314267339, + 916259878, + 459324831, + 145930308, + 668603355, + 158434070, + 928090529, + -1, + 508854874, + 831210702, + 496461504, + 8472276, + -1, + 96757937, + 381747889, + -1, + -1, + -1, + 693716456, + 844548152, + 854035032, + 899834010, + 14847350, + 814295784, + -1, + 325356661, + 496210010, + 34471136, + 47220237, + 768640073, + 648876634, + 681335249, + 788132938, + 96863002, + 161629696, + 163826512, + 147434395, + 457197508, + -1, + 996814783, + 336942987, + -1, + -1, + 548926406, + 145130413, + 538092025, + -1, + 197382660, + 825510933, + 833132724, + 78227612, + -1, + -1, + -1, + 519659666, + 157929036, + -1, + -1, + 516008289, + 711917382, + 120378009, + 486070883, + -1, + 197202102, + 800600829, + 609429508, + 862136299, + 830637512, + 164739433, + -1, + 41692842, + 86735731, + 843953714, + 573857347, + 710414982, + -1, + 978348387, + 974474828, + 834383170, + 516272682, + 993254666, + 532569322, + 563955317, + -1, + -1, + 860350170, + -1, + 877283009, + -1, + -1, + 110197318, + -1, + 149680011, + -1, + -1, + 296774006, + -1, + 18736404, + 922406744, + 143860579, + 355254902, + -1, + 225948267, + -1, + -1, + 943287249, + 501395049, + 183378576, + 258815067, + -1, + -1, + 259610552, + 798208864, + 415598792, + -1, + 422782854, + -1, + 202055902, + 421715740, + 647468233, + 86203122, + -1, + 873793120, + 996770063, + 402332962, + 210829650, + 497087691, + 42731304, + 255774119, + -1, + -1, + 779661406, + -1, + 380423387, + 533816649, + 422943983, + 462912682, + 870741242, + 408331124, + -1, + -1, + 559633283, + 597719027, + 271932818, + -1, + 778014040, + -1, + 950791257, + 450885120, + 132141654, + 931490802, + 735322250, + 471228106, + 832136734, + 381695025, + 445014795, + 735364308, + 726571357, + 318608622, + 852975704, + -1, + 324960260, + 865237561, + -1, + 2681265, + -1, + -1, + 165365920, + 197847621, + 195819908, + 863206985, + -1, + 203317866, + 95408458, + -1, + -1, + 479056773, + -1, + 711408896, + 369902823, + 573437998, + 817295162, + 243283708, + 575370666, + 711839447, + -1, + -1, + 943747742, + -1, + 543359784, + 262494233, + -1, + 677550105, + 633119039, + 664065304, + 16461004, + 525932132, + 196817680, + 864347130, + 263769676, + 305370579, + 314201730, + -1, + 843472974, + 984454198, + 688989209, + 914818837, + -1, + 774432030, + 540118136, + 66241644, + -1, + 479334526, + -1, + -1, + -1, + -1, + -1, + -1, + 156478127, + 275276202, + -1, + 415825035, + -1, + -1, + 516737711, + 534534138, + 228914203, + 750814797, + 153139850, + -1, + 63988607, + -1, + -1, + 946340650, + 750669189, + -1, + -1, + 530744371, + 511433444, + -1, + 836985184, + -1, + -1, + 149747854, + 436187626, + 145167451, + 24422313, + 713898430, + -1, + 427951772, + 477599372, + 573521724, + 838579085, + 667692125, + 250177765, + 234525799, + 731892038, + 46570010, + 417763620, + -1, + 825621963, + 381724147, + 371434561, + 835262479, + -1, + 69175405, + -1, + -1, + 910926432, + 797592541, + 51455186, + 414130514, + 925756314, + 200572913, + -1, + 489138816, + -1, + -1, + 668378312, + 964711191, + 609642108, + 447340752, + 234957776, + -1, + -1, + 534830846, + 493022297, + 306256650, + 106276351, + 36093141, + -1, + 713916487, + 374020199, + -1, + 462668278, + -1, + 649464567, + 436748149, + -1, + 358629490, + 528885870, + 635623322, + -1, + 995016250, + 553380175, + 214042117, + 548886383, + 284326879, + -1, + -1, + -1, + 980121168, + 190627083, + 880797473, + 916256838, + 609776101, + -1, + 898580882, + 826401141, + 640792262, + 885915388, + 878181956, + -1, + -1, + 711385555, + 627792840, + -1, + 404881128, + -1, + 585975048, + 207607443, + 999566556, + 512307348, + 748621772, + 782171541, + 367901356, + 81298734, + 13296792, + 84350868, + 271074697, + 311298379, + -1, + 558119488, + 552879082, + -1, + 622823659, + -1, + -1, + 727194373, + -1, + 331212129, + 855848378, + -1, + 844257703, + 597865006, + -1, + -1, + 818633181, + -1, + 133128366, + 93749617, + 551983648, + -1, + 221556000, + 817289196, + 304669551, + -1, + 668263999, + 390916357, + 775169964, + -1, + 935926167, + 564024751, + 250624448, + 551453123, + 131111978, + -1, + 346431253, + -1, + 122216032, + 500948527, + -1, + -1, + 342923422, + 675301753, + -1, + 248523381, + 429932456, + -1, + 84487964, + 344362754, + 839552943, + 311955052, + -1, + 835678910, + -1, + 451806237, + 933834105, + -1, + 890648270, + 398218495, + 336033863, + 661381253, + 112313736, + 97113076, + 594136292, + 789347250, + 695748669, + 407910031, + -1, + -1, + 903037366, + -1, + 951604730, + 260670145, + 151600867, + 889014197, + 461861817, + 123604691, + 853224277, + 288630271, + 33881161, + -1, + 536585101, + 614470057, + 370835298, + 456312257, + 842715399, + 824709296, + 109716024, + -1, + 440800235, + 766340537, + 200119713, + 214974916, + -1, + 772833134, + 966279732, + -1, + -1, + -1, + -1, + -1, + 627555704, + -1, + 98278231, + -1, + 998708101, + 771032097, + 132306562, + -1, + 860122584, + 727601619, + 690417567, + 371504996, + -1, + 145404819, + 515297493, + -1, + 906814280, + 288205647, + 471406213, + -1, + 870460673, + 699987600, + 878469490, + 4099143, + 2510235, + 827053686, + 688493755, + 251175023, + 127660971, + 704000028, + 70985244, + -1, + 788154179, + 569304546, + 604385959, + 878240623, + 777813541, + 335811366, + -1, + 466768618, + 81266650, + 653280820, + 474200106, + 227733148, + 799471283, + 115982581, + -1, + 688443565, + -1, + 949900454, + 76665457, + 191255846, + -1, + 807981463, + 738412185, + 747518642, + 805593114, + 18928919, + 167282938, + 731129456, + -1, + 579566053, + -1, + 761459148, + 191835344, + 535641520, + 888336469, + 933081163, + 815569268, + -1, + 427603140, + 52516843, + 832149853, + 286753267, + -1, + 807967876, + 348306602, + 991912279, + 8622846, + -1, + 856729655, + -1, + 952095010, + 694124958, + 208857507, + 359738041, + 51922906, + 53569922, + -1, + 271193601, + 788365051, + 670740139, + 809368096, + -1, + 47967111, + 546903621, + 921944430, + -1, + 537504640, + -1, + -1, + 637445247, + 361125384, + 834497474, + -1, + 440893467, + 264715932, + -1, + -1, + 391124110, + -1, + 282588148, + -1, + 128230913, + 385429965, + 276182530, + -1, + 13313752, + -1, + 888463991, + 515584, + 899222939, + 274651428, + 21618620, + 564161018, + -1, + 542162891, + 243133361, + 354723541, + 4028943, + -1, + 126532807, + 9814161, + 460008503, + 888677142, + 283348738, + 32049223, + -1, + 739837370, + -1, + 573382180, + 749518996, + 703506557, + 503947614, + 872995512, + -1, + -1, + 177088237, + 909952675, + -1, + -1, + -1, + -1, + 932651298, + 368510783, + 123517462, + 880254210, + 655221316, + -1, + -1, + -1, + 75627998, + 536195530, + 743416402, + -1, + 182747872, + -1, + 180405982, + 736248278, + 4758505, + 530943431, + 560448133, + 380062882, + -1, + -1, + 914325771, + -1, + 164610817, + 707115945, + 350817706, + 499152470, + 45628206, + 592380137, + -1, + 264016900, + 438100803, + -1, + 489860210, + 808966584, + 77959680, + -1, + 591733774, + 337940292, + 414594033, + 591085450, + 812841724, + 928249937, + -1, + 579327980, + 130742727, + 722321596, + -1, + -1, + -1, + 398150496, + 278644078, + -1, + 294908845, + -1, + 933380394, + -1, + 765900866, + -1, + 979182398, + 789086382, + 329261544, + -1, + 450771238, + 292163516, + -1, + 443451056, + -1, + 864739240, + 416954800, + 109018185, + 874330738, + 658886528, + 564494819, + 645447598, + 715932312, + 194863158, + 912422951, + 609027518, + 699072945, + 306101945, + -1, + 242347821, + 311037073, + 277116657, + 616907292, + -1, + -1, + 488114557, + 104358731, + 207370260, + 325116171, + 386155614, + -1, + 952362919, + 366538159, + 24285742, + 894711218, + 624810114, + 684926489, + -1, + -1, + 307570569, + 913427258, + -1, + 34661697, + 849577851, + 337398382, + 110739439, + 442293850, + 951050564, + 277684187, + 981589097, + -1, + 906887362, + -1, + 178564389, + 402971698, + 413831731, + -1, + 735847823, + 821122098, + 808276314, + 747429706, + -1, + -1, + 703730660, + 481689660, + -1, + 998013224, + 155728807, + -1, + -1, + 349061349, + -1, + -1, + 764299918, + -1, + 93979533, + -1, + 175601612, + 500634090, + 629011692, + -1, + 863421545, + 414630682, + -1, + 751676103, + 395919585, + 727055296, + 154806475, + 188712342, + 687057550, + -1, + -1, + 540938306, + -1, + -1, + -1, + 345480312, + -1, + -1, + 111378329, + 170390773, + 953219371, + -1, + 608672605, + 660596222, + 181352068, + 935670005, + 755067335, + 590010845, + 200389547, + 155374824, + 425648610, + 117717631, + -1, + 420486015, + -1, + 733813231, + 109605462, + 899740076, + 429420565, + -1, + 168167726, + 343424889, + -1, + 434535860, + 640142947, + 423042375, + 671408307, + 653860099, + 320622220, + 324154522, + 552569828, + 221858932, + 35959274, + -1, + 514660178, + -1, + 120262694, + -1, + 810398812, + 193793351, + -1, + 173257526, + 496108603, + -1, + 712476400, + 924159617, + -1, + 163316660, + 877221207, + 121088038, + 19711836, + 638289660, + 780268186, + 645776996, + -1, + 250026477, + -1, + 243344308, + -1, + -1, + 157775435, + 358803348, + 765903067, + 309551004, + 331752855, + 668254161, + 739159988, + -1, + 545789254, + 395930120, + -1, + 626075503, + 129984335, + -1, + 65100146, + 609782279, + 74911216, + 376562308, + 809818201, + -1, + 203413554, + 120441223, + 576805366, + -1, + 202039997, + 556828374, + 338321956, + -1, + 309671008, + 276713169, + 483456040, + -1, + 298976495, + -1, + -1, + -1, + -1, + 429977366, + 646835077, + -1, + 705604715, + 987952323, + -1, + 513451562, + -1, + 959935730, + 434435397, + 887600089, + 531405503, + -1, + -1, + -1, + -1, + 634010133, + 460855525, + 299310495, + -1, + 233642259, + 661388132, + 140508716, + 96987745, + 924441476, + 474797979, + 954766745, + -1, + 818418760, + 159645903, + -1, + -1, + 502799971, + 791167528, + -1, + 986733785, + 451220111, + 574524536, + -1, + -1, + 617995213, + 349714962, + -1, + 609967745, + 17541418, + -1, + 432733709, + 523743617, + 761755629, + -1, + -1, + -1, + 132647859, + -1, + -1, + -1, + 693886206, + -1, + -1, + -1, + -1, + 646314139, + 282588161, + -1, + 80790458, + -1, + -1, + 721614999, + 942171363, + 588962362, + 909343201, + 488923164, + -1, + 366318960, + 9950225, + 25548546, + 462235950, + 850116693, + 303345779, + 888553781, + 717596760, + -1, + -1, + 668642904, + 538293632, + -1, + -1, + 817830982, + 422368764, + -1, + 609205269, + -1, + 373744402, + 631598479, + 394574542, + 641926671, + 106180745, + 844695916, + -1, + -1, + 460676584, + 615303573, + -1, + -1, + -1, + -1, + 678129233, + -1, + 247700307, + 75905677, + 411963448, + -1, + 160955186, + 87985243, + -1, + -1, + -1, + -1, + 886343639, + -1, + -1, + 618069717, + -1, + 746095410, + -1, + 637975300, + 41432208, + 408664259, + -1, + 158166168, + -1, + 498120227, + 562886154, + -1, + -1, + 611448424, + 868681584, + 402557809, + -1, + -1, + -1, + 940803169, + 925298665, + 990383807, + -1, + 733066156, + -1, + -1, + 550571985, + -1, + 744700017, + -1, + -1, + -1, + 973247421, + 376787569, + -1, + 977400042, + 461620448, + 255271610, + -1, + 942018584, + 314973050, + -1, + 893740694, + 879424655, + 990394960, + 480111639, + 828788333, + 593612698, + 311807317, + 278763043, + -1, + 584980355, + 924650465, + -1, + -1, + 703658885, + 796251865, + 458887730, + 781752781, + 620175833, + -1, + 453077778, + 178054349, + 392304863, + 43685193, + 158322719, + 462365347, + 403705304, + 554715031, + -1, + 972329553, + 117982960, + -1, + -1, + -1, + -1, + 214424118, + 726658819, + -1, + -1, + 183669062, + -1, + -1, + 382781817, + -1, + 398952953, + 851769586, + 134946923, + -1, + 620060454, + 538991459, + -1, + 926622528, + 282115877, + 265452312, + -1, + 430596789, + 546351044, + 776098362, + -1, + 883752592, + 888847833, + -1, + -1, + 99218206, + -1, + -1, + 270544843, + 145913688, + -1, + 714326743, + 795682805, + 763018964, + 146112325, + 582274671, + -1, + -1, + 315060696, + 819491620, + 84849940, + 73564674, + 513052746, + -1, + 885233975, + 258736151, + 392930862, + 126062314, + 685008473, + -1, + -1, + 650221461, + 828010418, + 1615168, + 574480649, + 814951114, + -1, + 993911507, + 668657633, + -1, + 340941436, + -1, + 202297558, + 902818735, + 380559696, + 354415133, + 611123185, + -1, + -1, + -1, + 709213810, + 897883280, + 469819928, + 496752412, + 666846796, + 968740744, + 138253466, + -1, + 605835584, + 716384419, + -1, + -1, + 521084485, + 633240278, + 231162616, + 309663628, + -1, + 524143292, + -1, + 735318526, + 85172000, + 542141378, + 330621828, + 202794687, + 785466699, + -1, + 749007989, + 589465001, + 691896831, + 26227211, + -1, + -1, + -1, + -1, + -1, + -1, + 312921713, + 599655042, + 597464203, + -1, + 845343775, + 798622490, + -1, + -1, + -1, + 646904000, + -1, + -1, + 597407251, + -1, + -1, + -1, + 645351172, + 406290529, + 945998168, + -1, + 315239879, + 793796411, + 651457309, + 436566944, + 599029751, + 230417452, + 234571837, + 114269620, + -1, + 815204584, + 690678274, + 49778260, + 910904605, + 629259312, + -1, + -1, + -1, + -1, + 835804840, + 639750972, + 591660818, + 551481574, + 750686751, + 919033030, + 235098323, + 379522342, + -1, + 122760658, + -1, + 476999114, + -1, + 944998068, + 642875648, + -1, + 543904496, + -1, + 555326077, + 159124490, + 665227308, + -1, + 579009868, + 581339373, + -1, + 889046357, + -1, + 558541683, + -1, + 126653496, + 377324033, + -1, + 248375338, + -1, + 567114454, + 414680149, + 549666910, + 580978931, + 207546293, + -1, + -1, + -1, + -1, + 871557486, + -1, + 960174614, + 26499549, + 430880950, + 675603099, + 457989492, + -1, + 858407015, + 731563299, + 136327199, + 869986459, + 808854588, + 625091156, + 692402502, + 953574871, + -1, + 322833218, + 384932931, + -1, + 151780235, + -1, + -1, + 319786580, + 344834749, + -1, + 709340920, + 993616483, + 755933799, + 58594419, + 711793196, + 823333752, + 118226169, + -1, + -1, + 712840253, + 988334134, + 557487400, + 780896564, + -1, + 456293246, + -1, + 463796481, + 690293842, + 996650257, + 978884750, + -1, + 816415566, + 845083441, + 926858849, + -1, + 597764181, + 38204238, + -1, + 350593418, + 607314027, + 382750857, + 581230250, + 133682580, + 386044594, + 103423902, + 872765810, + 224761574, + 81134920, + 472720629, + 739160237, + 841071684, + 928026168, + 321214656, + 410339560, + -1, + 150463883, + 429797719, + -1, + 905654589, + 715317130, + 568870500, + 486917916, + 929334718, + 468379008, + 525980983, + -1, + 219894501, + 619512343, + 438506344, + 792290870, + -1, + 734837996, + -1, + 85314857, + 942442015, + 849172617, + -1, + 213543609, + 897795704, + 771683419, + 59504566, + 351701973, + -1, + -1, + 942682942, + -1, + 977999925, + 811482199, + 911273068, + 347726180, + -1, + 639906265, + 129513713, + -1, + 740274834, + -1, + 966513102, + 593277227, + 448791827, + 928921052, + 972486718, + 109590426, + 625804345, + 544884960, + 537449502, + 336805133, + -1, + 610961258, + -1, + 175098507, + 634414766, + 959370562, + 935711646, + 684602339, + 856090358, + 667327630, + 721087776, + -1, + 622553143, + 958232762, + 938308216, + 486894811, + 988125834, + 703560334, + 621291467, + 184421088, + 190116556, + -1, + 801686767, + 237182876, + 163680348, + 172053720, + 248988389, + 738889475, + 75758839, + 304392113, + 114136880, + -1, + 321902192, + 933241652, + -1, + 760921337, + -1, + 100439563, + 152988038, + 460665882, + 267554953, + -1, + 940910388, + 161473332, + -1, + 281201728, + 733368169, + 403108008, + 55549183, + 912108422, + -1, + 429928101, + -1, + 557518597, + -1, + 430510947, + -1, + 441096974, + 367649809, + 540128493, + 339795696, + 270282757, + 741564446, + -1, + -1, + -1, + 598940261, + 554923182, + 399498973, + 419429004, + -1, + 587317160, + 960184685, + 104064127, + 713472344, + -1, + 16652749, + 452423232, + 766680250, + -1, + -1, + 205409683, + 379864306, + 190860456, + 547797360, + -1, + 756994852, + 776721455, + -1, + 675083508, + 675304062, + 228193164, + 289942766, + 824910355, + -1, + -1, + 483082401, + 277174843, + 908739525, + -1, + 519576143, + -1, + 168739982, + 517399243, + -1, + -1, + 373900753, + 467286822, + 875746347, + 430922887, + -1, + 749884791, + 772654221, + 894004025, + 219891305, + 144647973, + 886512630, + 577376402, + -1, + 995407304, + -1, + 591819630, + -1, + -1, + -1, + 617143421, + 159410089, + 532807356, + 931450774, + 55461711, + 234491995, + 284282487, + -1, + -1, + 475926904, + 605721459, + 825444410, + -1, + 619438461, + 196524848, + 307970121, + 649443442, + -1, + -1, + 124345569, + 544383960, + -1, + -1, + -1, + 467943445, + 941824238, + -1, + 656652403, + -1, + 171102075, + 493957553, + 674872586, + 686861986, + 264375086, + 862338137, + -1, + 650991550, + 377869159, + -1, + 893814196, + 538881687, + 521658622, + 751206444, + 635500893, + 115152349, + -1, + -1, + -1, + 170149994, + -1, + 322370394, + -1, + 522730925, + 335276673, + 136493881, + 869926046, + 527313361, + 564069343, + 564718654, + 754959393, + 832827044, + 788527904, + -1, + 199294425, + -1, + 246554067, + -1, + -1, + -1, + 74808352, + -1, + 424799589, + -1, + 556932269, + -1, + -1, + 736216781, + 553298697, + 477862456, + -1, + 889544443, + 467345834, + 385246617, + 2115358, + 657456427, + 749508515, + 405733232, + 392858150, + 204652065, + 941501950, + 104194898, + 780773621, + 823632380, + 900644518, + 502904776, + 864642345, + 854107773, + 778128266, + -1, + 248584764, + 143344750, + 89085337, + -1, + 454357029, + -1, + -1, + 682073148, + 987030024, + -1, + 314527393, + -1, + 266926840, + 850072984, + -1, + 14297756, + 690715742, + -1, + 743739129, + -1, + 323469172, + 975504398, + 163672220, + -1, + 142827705, + 718605147, + 768989951, + 944907687, + -1, + 317649175, + -1, + 368708723, + 989361295, + -1, + 91367855, + 405119328, + 797364705, + 307403825, + 144400078, + 289748316, + -1, + 998923075, + 150558160, + -1, + 157045997, + -1, + 450810098, + 146473377, + 451630267, + 324814499, + 854143287, + -1, + 329010188, + 198505320, + 826059785, + -1, + 444018666, + -1, + 740749040, + -1, + -1, + -1, + -1, + -1, + 89302109, + -1, + 851627751, + 224305892, + 582935458, + 976113519, + 813883328, + 831334324, + -1, + 264979142, + -1, + 560168742, + -1, + -1, + -1, + 580734633, + -1, + -1, + 576547982, + 100699024, + 963729988, + 493436193, + 777552780, + -1, + -1, + 391052562, + 34750969, + -1, + 722773513, + 176280178, + -1, + 528323652, + -1, + -1, + 565128390, + 25885260, + -1, + 329931503, + 542567590, + 200934839, + 361213864, + 195375843, + -1, + -1, + 284445788, + 568779059, + 931631118, + 476730935, + 934477032, + 171451593, + -1, + 117606275, + -1, + 667958484, + -1, + -1, + 546133705, + 905560394, + -1, + 646621497, + 205341559, + 926883396, + 302381392, + 72367287, + 841084923, + 535410747, + 154663394, + 35168741, + -1, + 415348148, + 28225185, + 251284467, + 609884560, + 766350483, + 150404417, + 424766454, + 411519707, + 672223788, + 328077543, + 140613822, + 897777553, + 583948935, + 703775593, + 977369972, + -1, + 245893124, + -1, + -1, + 807652303, + 352879824, + 279841747, + 285863857, + -1, + 462043549, + -1, + -1, + 462721915, + -1, + -1, + 460625976, + 766826326, + 759563640, + -1, + 611011989, + -1, + 950785227, + 988689773, + 914275993, + 805216940, + -1, + 598094940, + 766409074, + 930632513, + -1, + -1, + 26032602, + -1, + 423593379, + 28051718, + 944936287, + -1, + 742785143, + 83359500, + 717079553, + 925355362, + 966171892, + 49449737, + 595354806, + 235569771, + 238618059, + 812824932, + 448437357, + -1, + 970474497, + 875517446, + -1, + -1, + -1, + -1, + 667257294, + 889654224, + -1, + -1, + 799091793, + 820282367, + 117794746, + -1, + -1, + 632001786, + -1, + -1, + 993654994, + 545246333, + -1, + -1, + 786371890, + 287420020, + -1, + 83827866, + 256900244, + 451674484, + 391979111, + 842133414, + -1, + -1, + 628128887, + 122169202, + 754012017, + 621478201, + -1, + 993492823, + 274739926, + 357028176, + -1, + 304773474, + -1, + 858593106, + -1, + -1, + 519276040, + 468989089, + 892424259, + -1, + 127225148, + -1, + 673723720, + 565790158, + -1, + 576943750, + 684998657, + 171066128, + 366318197, + 506941886, + 326967300, + 589138698, + -1, + 215101799, + -1, + 417437399, + -1, + 507693767, + 254563000, + 954281283, + 118525213, + -1, + 29495607, + -1, + 954251433, + -1, + 948818664, + 615595670, + 290493891, + 569019706, + 764557204, + 655439854, + 295986338, + -1, + 623273680, + 484477726, + 839692413, + 404662519, + -1, + -1, + 808302399, + 664254955, + 703415975, + 924921485, + -1, + 276403477, + 383754404, + -1, + -1, + 392923891, + -1, + 340008066, + 625967380, + 918833416, + 944511632, + -1, + 524057379, + 397947835, + 83096158, + 895417106, + 615552120, + -1, + 820883896, + -1, + -1, + -1, + 381827887, + 69647163, + -1, + 446690342, + 761844560, + 908473118, + 406727693, + 931559393, + 24438301, + 756708818, + -1, + 998568564, + -1, + -1, + 740713089, + 2408372, + 586125792, + 411961192, + 953532003, + -1, + 958906352, + 865580161, + -1, + 492808018, + -1, + 103305668, + 371597015, + -1, + 79429026, + 131869439, + -1, + 731922652, + 270419205, + 479224199, + 172371967, + -1, + 38061660, + -1, + 795802833, + -1, + 990845959, + -1, + -1, + 4738062, + 369063191, + -1, + -1, + 536224069, + 958775333, + -1, + 131561501, + 414891772, + 265707346, + 285621126, + 343935220, + 63248423, + -1, + 315058371, + 764550367, + -1, + -1, + 490599048, + 965415632, + 104402131, + 337791750, + -1, + -1, + -1, + 956212024, + 89142285, + -1, + 113778031, + 285906789, + -1, + 560566216, + -1, + 599183911, + 68779136, + 856183216, + 965740304, + 770577252, + 715411149, + 65811276, + 100048549, + 201982933, + 56419792, + -1, + 107626861, + 843548382, + 5038424, + 955252348, + -1, + -1, + 213967943, + 750015379, + -1, + -1, + 114067155, + -1, + 819501262, + -1, + -1, + 908601570, + -1, + -1, + 50788156, + 803686330, + 143311059, + -1, + 273106511, + 266836058, + 329847966, + 652539902, + 254570920, + 124443706, + 869167706, + 369926027, + 668609942, + 35054497, + 394881172, + 387062926, + 586186697, + 17373176, + 575599700, + 962689325, + 737524633, + -1, + 340986968, + -1, + 642868490, + 468325950, + 208287910, + -1, + -1, + 998199350, + -1, + -1, + 473625989, + 619909179, + 755561822, + 421064593, + 880165067, + 815877836, + 351752004, + 452620831, + 437798689, + 575088748, + 1538005, + -1, + -1, + 160349644, + 482749301, + -1, + 675457444, + -1, + -1, + -1, + -1, + 872020487, + 434799861, + 49486357, + -1, + -1, + 355773458, + -1, + 578646716, + -1, + 958609791, + 691174085, + 401408138, + 545414611, + -1, + 802122807, + -1, + 729144876, + 835042810, + -1, + 336100587, + 516731112, + 118081905, + -1, + 595247368, + -1, + 345991814, + 411414223, + -1, + -1, + -1, + 412886662, + -1, + 846408097, + 881121692, + 343508599, + 824528755, + 363161075, + -1, + 343694230, + 19818006, + 149244765, + 71085360, + 612065587, + 303620971, + -1, + -1, + 39126471, + 477559260, + -1, + -1, + 308756193, + -1, + 369091450, + 599012211, + -1, + 816135069, + 746762415, + -1, + -1, + 681541409, + 977008633, + -1, + 975816547, + -1, + 474846711, + -1, + 988565708, + 764157997, + 902036605, + 73944927, + -1, + 944838882, + 844408274, + 743467015, + -1, + -1, + 161550034, + 613189547, + 895810104, + 845677490, + 464916404, + -1, + 174796262, + 527408287, + -1, + 936490156, + 574538081, + 132099243, + -1, + -1, + 994201059, + -1, + -1, + -1, + -1, + 845267719, + 170166459, + -1, + 162069427, + 298886962, + -1, + 561025957, + -1, + 541207224, + 38416038, + 466790072, + 265072491, + 343555145, + -1, + 515273863, + 301213130, + 509559431, + 904857885, + 889136079, + 984452569, + 758822536, + 864974471, + 377276916, + 239056365, + 596715011, + -1, + -1, + 222550023, + 73879187, + -1, + 381648863, + 176219184, + 433003498, + -1, + 157295366, + -1, + 855813398, + 119156967, + 844891787, + 848446517, + 885282288, + -1, + 128369021, + -1, + 344864657, + -1, + -1, + 969777017, + -1, + 462702859, + -1, + 228885766, + 151114467, + -1, + 800562349, + 73772366, + 737773235, + 157297731, + 69123491, + -1, + 298136394, + 900922007, + 108875496, + 614502767, + 849784096, + 989977657, + 670211181, + 485237693, + 465177890, + -1, + 141053531, + -1, + 9794525, + 999169025, + 400208606, + 442338857, + 460484016, + -1, + 12995998, + 625667183, + 101084467, + 572012400, + 648281023, + 124848371, + 868728700, + 136678360, + -1, + 423924584, + 510292288, + 39773525, + 369081748, + 521272525, + 561484389, + 446427075, + 467460832, + -1, + -1, + 553095170, + -1, + 383693011, + -1, + 648476582, + 121250775, + -1, + -1, + -1, + 529524900, + -1, + -1, + 17025609, + -1, + -1, + -1, + 390405276, + -1, + -1, + 894524916, + -1, + 391286538, + -1, + 906810696, + -1, + 6608730, + 150177500, + 134673855, + 99184467, + 164068218, + 161365593, + 407924461, + -1, + 520294291, + 409012722, + 663198081, + 544126011, + 933662435, + 178425867, + 868738515, + 770515954, + 646836721, + 37619591, + 575939306, + -1, + -1, + 209681958, + 355702876, + 746520155, + 177644908, + 934542070, + -1, + 191960163, + 350191076, + 229858137, + 271885247, + 946177252, + 987243908, + -1, + -1, + -1, + -1, + -1, + 97600560, + 361619894, + -1, + 532993900, + 763109229, + 464947014, + 247339401, + -1, + 144147317, + 781064538, + -1, + -1, + -1, + 350905677, + 955960591, + 502108140, + -1, + 711236358, + 553762536, + 10384803, + 773116026, + 844923909, + 773338344, + 847010667, + 423673782, + -1, + 848400510, + 957603508, + 342391242, + 893967086, + 134257393, + -1, + 593886794, + -1, + 765760322, + 304287368, + -1, + -1, + -1, + 33547201, + 473645534, + 806742974, + -1, + 897400606, + 894902037, + -1, + 71473093, + 40053461, + 680478300, + 260403767, + 132876405, + 374716077, + 272351626, + -1, + 807539519, + 73631220, + 490303652, + 757759964, + 546776517, + 552346312, + 689614226, + 964672835, + -1, + 156300655, + 615255274, + 212319865, + 365391135, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 933290815, + 294754593, + -1, + 984696614, + 718494368, + -1, + 521871446, + 912973119, + 91955604, + 570151608, + -1, + 475941123, + 304521666, + 633346694, + 59030621, + 627449289, + 252413283, + 119107304, + -1, + 6453783, + 458369458, + 267801782, + 946024465, + 766284586, + 31866072, + -1, + 44052360, + 498210401, + 655509911, + 518591327, + -1, + 446686426, + 462434964, + -1, + 566065687, + 84229217, + 544142079, + -1, + 63000526, + 720052365, + 662797639, + 361305166, + 285645485, + 702601216, + -1, + 264324832, + 565251410, + -1, + 879076163, + 151469550, + -1, + 275593036, + -1, + 290339954, + 407955655, + 786858175, + 843174877, + -1, + -1, + 906672112, + -1, + 583079771, + 899484587, + -1, + -1, + 142841339, + 60913218, + -1, + 85786891, + 529168693, + 418619031, + 172881552, + -1, + 838964914, + 75958058, + -1, + 761919550, + -1, + 964233906, + 475818765, + 94785014, + 400316873, + -1, + 634880194, + -1, + 162038619, + 908284587, + 859911859, + 553492630, + 32152259, + 938935825, + -1, + -1, + 570675827, + 435443284, + -1, + 55571, + 975459253, + 670314277, + -1, + -1, + 715664652, + 32962639, + 697033802, + 384186444, + 875238028, + 72818795, + 391371406, + 886207678, + 660460741, + 944212952, + 583749222, + 380592538, + -1, + 144370632, + -1, + -1, + 744830232, + 239293801, + -1, + -1, + -1, + 659227419, + 408354688, + 468101440, + -1, + 615555372, + 948890047, + -1, + 304226354, + 653172412, + -1, + 77240289, + 125944134, + 888435216, + -1, + 644159538, + 293181877, + 614919799, + 969938821, + 773365154, + 195069904, + 551170516, + 619622040, + 370147715, + -1, + -1, + -1, + 884951639, + 400164186, + 466560583, + -1, + 954092324, + 387581072, + 799957588, + -1, + 308153044, + 136127400, + -1, + 572993900, + 616806665, + 481441482, + -1, + -1, + -1, + -1, + 457337581, + -1, + -1, + -1, + -1, + 582099198, + -1, + -1, + 804644599, + 492388955, + 785103639, + 5799282, + 108082434, + -1, + 823632550, + -1, + 974668539, + 706370308, + -1, + -1, + 653749729, + 313169966, + -1, + 975478131, + 937124238, + 862114071, + 742924306, + 682193926, + 125740424, + -1, + -1, + -1, + 311630869, + -1, + 747010473, + 5930185, + -1, + 67311583, + -1, + -1, + 421796349, + 293137986, + 853959595, + -1, + 92094141, + 417264341, + -1, + -1, + 61212921, + 896791220, + 432040601, + -1, + 120294477, + 976522754, + 581681312, + -1, + -1, + 657423356, + 495616415, + 866240364, + 304762551, + -1, + -1, + -1, + 440314612, + 538920558, + 195145054, + 280870156, + -1, + 929099933, + 293066221, + 469973618, + 507942514, + 754247743, + 10802264, + 803065771, + -1, + 356127023, + -1, + -1, + 407628464, + -1, + 402308275, + 591975962, + -1, + -1, + 651396857, + 366735914, + 303134616, + 856463083, + -1, + -1, + 630503768, + -1, + -1, + -1, + 503651206, + -1, + 517796703, + 726422936, + 197701468, + 559996374, + 988974572, + 484245125, + 292330231, + 982042569, + 732110254, + 773919265, + 565652855, + 846959617, + 603853156, + -1, + 538057241, + -1, + 635096702, + -1, + 643655207, + 130648972, + -1, + -1, + 678608698, + 426205441, + 682194739, + 660696410, + -1, + 547450983, + 740522609, + 21025713, + 788646297, + 755179442, + -1, + -1, + 405958002, + 841633912, + 397339470, + 887258545, + 11643682, + -1, + 22818157, + 344043485, + 31025883, + 957601260, + -1, + -1, + 767881828, + -1, + 452880472, + 922607644, + -1, + 402527105, + -1, + 396496658, + -1, + 33532431, + 910167369, + 973232984, + -1, + -1, + 589809329, + 394334953, + 739144135, + 386772212, + -1, + 470008369, + -1, + 362782520, + 651950821, + 179323838, + 215920411, + 959966929, + 972979740, + 801655992, + -1, + 937569737, + 675014056, + 855811706, + 932100840, + 860006142, + 853846965, + 608681065, + 609144807, + 68543889, + 324281478, + 466996910, + 757766239, + 301312625, + 659366974, + 581685859, + -1, + -1, + -1, + 433180313, + 999865800, + 636122493, + -1, + 29274774, + 267286597, + 951131248, + 995436248, + -1, + -1, + 38237750, + 424435216, + 160249117, + 390812721, + 348601520, + -1, + 72782963, + 633195492, + 941947185, + 708963488, + 824525094, + 942564516, + -1, + -1, + -1, + 89547341, + -1, + 719700627, + 819218159, + 57920573, + 645829963, + 797059168, + 491310979, + 824446774, + 294085650, + 866715554, + -1, + -1, + -1, + -1, + -1, + 860836203, + 858708208, + 999646625, + 932836006, + -1, + -1, + -1, + 735002499, + -1, + 589145096, + 943691456, + 71444383, + 353844155, + 522062900, + 124828503, + 580019748, + 635512361, + -1, + -1, + 605465814, + 584594656, + 395525404, + 314649225, + 157415867, + 812693968, + 791072236, + 228173432, + 540692439, + 834394972, + -1, + 889825613, + 91341524, + 59885126, + 910196696, + 671439202, + 933688834, + -1, + -1, + -1, + 732266052, + 450950137, + 388059741, + 241460862, + -1, + -1, + 14196291, + -1, + -1, + 587990932, + 934726436, + -1, + 797890327, + 201665080, + 2992597, + 671207999, + 948846072, + -1, + 630175687, + 585307805, + 466542055, + 130332204, + -1, + 919823524, + 448849707, + -1, + 536000738, + 666376642, + -1, + 512667116, + -1, + 459751150, + 845341340, + -1, + 9511848, + -1, + 808168824, + 394466858, + 479500573, + -1, + 524472812, + 868494643, + 627065029, + 28869594, + 224789146, + -1, + 306693000, + 115180018, + -1, + 415648718, + 191435677, + -1, + 330647852, + 951111052, + -1, + -1, + 563783086, + 16464730, + 906464317, + 491329632, + -1, + -1, + 925565038, + -1, + -1, + 802977559, + -1, + 410494804, + -1, + 143453016, + 739808439, + 973532877, + 560695207, + 398781999, + 443430103, + -1, + 507794609, + -1, + 714700708, + -1, + 638654083, + -1, + -1, + -1, + 969772969, + 91226208, + 710809953, + -1, + -1, + 313469493, + 840536516, + 372010674, + 532269674, + 934649053, + 338279999, + 986641597, + 403458152, + -1, + 688896117, + 131165662, + 572400091, + -1, + -1, + 861607702, + 683543036, + 437606946, + -1, + -1, + -1, + 452943380, + 453407870, + 462972339, + -1, + 243895628, + -1, + 995918658, + -1, + -1, + -1, + -1, + 727301462, + 196480064, + -1, + -1, + -1, + -1, + 248511802, + -1, + 733396971, + 80313644, + -1, + -1, + -1, + 431689213, + 299370122, + 827718257, + 97729821, + 896037096, + 453325662, + -1, + 496213456, + -1, + -1, + 335925840, + -1, + 933182055, + 463848714, + 590279845, + -1, + 526713708, + -1, + 258055188, + -1, + 539878245, + 24473842, + 976288017, + 192808763, + -1, + 249567305, + 405662354, + 560409807, + -1, + -1, + 916204209, + 303612875, + 497973494, + -1, + 252192569, + 71404192, + 647429226, + 783716934, + 242784433, + 242992037, + 272417376, + -1, + 527846466, + 762412603, + -1, + -1, + 835320260, + -1, + 348309551, + 358840374, + 52353072, + 129103849, + -1, + -1, + -1, + -1, + 38629974, + 306048544, + 602041866, + 983394430, + 472813016, + 69271509, + -1, + 569722341, + -1, + -1, + 96868615, + 398604019, + -1, + -1, + 609247018, + 50918765, + 173894258, + -1, + 858732975, + 523383563, + 768498263, + -1, + 42067498, + 308121582, + 700280651, + 469920009, + 298304271, + -1, + 302020591, + 47185517, + 109792890, + 225348926, + 885680543, + 732306922, + -1, + -1, + 502856260, + 798305416, + 649572631, + -1, + 199095071, + 881899850, + -1, + 631274116, + 74649681, + -1, + 742275691, + 62597501, + 129327337, + -1, + 371531870, + 861426965, + 155490532, + -1, + 385802888, + -1, + 1438856, + 334448437, + 557948465, + 625845202, + -1, + 994644599, + -1, + 324376952, + -1, + 365734744, + -1, + -1, + 392441275, + 671014630, + 418922508, + -1, + -1, + 208469973, + -1, + 587702738, + 702786981, + -1, + 426197553, + 963226527, + 296064276, + 4510251, + 317368125, + -1, + 870512582, + 663448005, + 563579451, + 702714215, + 474206154, + 562685303, + -1, + 475969892, + -1, + 334888423, + 598749984, + 146123902, + -1, + -1, + 23814245, + 575420932, + 708267465, + -1, + 851855290, + 669706912, + 952456878, + -1, + 973795613, + 614085773, + -1, + -1, + -1, + 5603070, + 486385361, + 655909156, + 104495439, + 955055533, + 345776740, + -1, + -1, + 796370998, + 414392562, + 436104084, + 641098199, + 591398125, + 274167083, + 334087247, + 822105658, + 576298799, + -1, + 738623626, + -1, + 60321676, + 820854768, + 169446435, + 922865559, + 888497875, + -1, + 92316989, + -1, + 546095138, + 367347851, + 50180596, + 790850766, + 560425149, + 389046804, + -1, + 157390123, + -1, + 65227231, + 254782392, + 566425724, + 140268370, + 398969424, + 215651123, + 596599096, + 583224835, + -1, + 6518884, + 615020386, + 792618577, + 357362035, + -1, + 62502628, + 454916414, + 561196034, + 763537972, + 413281200, + -1, + 406980225, + -1, + 768746882, + 339268942, + 249170417, + -1, + 391388141, + 903842546, + 615200577, + -1, + -1, + 535176112, + 324653492, + 435691453, + -1, + 78470034, + -1, + -1, + 837901850, + 829796547, + 837373020, + -1, + 463879558, + 455360313, + 343105837, + 631180159, + 280056812, + -1, + 357848966, + 575642060, + 741703364, + 930386530, + -1, + -1, + 651143284, + 713425649, + 822113225, + -1, + 829836585, + -1, + 584907051, + 435562997, + -1, + 163004672, + 960385343, + 110452248, + 650585075, + -1, + 959770056, + 291406565, + 58078498, + 165864514, + 967224138, + -1, + 305435942, + 668702309, + 107082814, + 405529097, + 224497454, + 384679271, + 190341447, + 833024742, + 712240079, + 386722224, + 688515509, + 510738557, + 117281205, + 563628737, + 171404251, + 174782549, + -1, + 706426384, + 971183354, + 726156015, + -1, + -1, + 734597981, + 111398732, + -1, + -1, + -1, + 356828592, + 143686194, + 588430976, + -1, + 867577864, + 869606548, + 182925550, + 695921442, + 267811524, + -1, + 128729047, + 722312595, + -1, + 503728773, + 775785065, + 67649165, + 143295539, + -1, + 494871600, + 443551247, + 296038680, + 907818311, + 537540738, + -1, + 172005904, + 850449652, + -1, + 290546216, + 573724601, + -1, + -1, + 383641017, + 660389071, + 391767828, + 102235445, + -1, + 334019812, + 872986697, + 393378789, + 584794545, + 37190779, + -1, + 209527858, + 347352687, + 569740304, + 447005436, + -1, + 513943784, + 402874888, + 595183640, + 855614183, + 958941209, + 550850573, + 810042136, + 451068694, + 10014739, + 260452634, + 320765035, + 609603984, + 72527534, + -1, + -1, + 388845345, + 642057255, + 216598276, + 21637767, + 387051475, + 476804034, + 976837648, + 133603985, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 486309458, + -1, + -1, + 181873666, + 749562370, + 344405732, + 819635694, + -1, + -1, + -1, + 740572742, + 541304147, + 904444618, + 613760985, + -1, + 397928339, + 880744251, + -1, + -1, + 267573703, + 706120301, + 873674808, + 958697586, + 431533288, + 423802308, + 625219643, + 205925521, + 944345553, + 444710044, + -1, + -1, + -1, + 20088282, + -1, + -1, + -1, + -1, + -1, + 248786549, + 588906168, + 349686504, + 343898468, + -1, + 84388960, + 417918369, + 189690828, + 176165736, + -1, + 116130019, + 254294705, + 482476171, + -1, + -1, + -1, + -1, + -1, + 104224638, + 349138747, + 981408932, + -1, + 910484928, + 471514192, + 887085320, + -1, + -1, + -1, + 279350958, + 640850990, + 815023711, + -1, + 153439420, + -1, + -1, + 748044620, + 919611448, + 270473982, + 673030867, + 889093330, + -1, + -1, + 934732113, + 850013190, + 47098254, + -1, + 571917552, + 555094537, + 542951546, + 933690176, + 562564666, + -1, + 554928431, + 47410401, + 159109202, + -1, + 780995163, + 370411488, + 661311780, + -1, + 281104198, + -1, + -1, + 691423718, + 344533644, + -1, + 406752634, + 405940188, + -1, + 611873980, + 492329456, + 73702341, + -1, + 308714486, + -1, + 9148887, + 807479552, + -1, + 133250456, + 315045020, + 826071319, + 200083298, + 307760018, + -1, + -1, + -1, + 721857049, + 327943864, + 139839715, + 306008557, + 498285570, + 308120140, + 220042477, + -1, + 233213362, + 945707492, + -1, + -1, + 436989057, + -1, + 5291610, + 415564879, + 891661872, + 38323182, + 731667199, + -1, + -1, + 201775687, + 927595979, + -1, + -1, + 184347970, + 502450759, + 76980283, + -1, + 928545254, + 8687732, + 10126575, + -1, + -1, + 282666465, + -1, + -1, + 418322877, + 6278355, + 790788415, + -1, + -1, + 815860492, + 685230156, + 852407218, + 79106553, + 290341128, + 764589834, + -1, + 925729326, + 760381847, + 273919073, + 862054633, + 921758938, + -1, + 203436392, + -1, + 866787448, + 799496541, + 739182028, + 508639205, + 600529158, + -1, + -1, + 286340687, + -1, + 393561385, + 262435007, + 606336186, + -1, + 70896248, + 93126619, + 930383023, + 358868079, + 104260177, + -1, + -1, + 91363539, + 645398373, + -1, + -1, + 200726954, + -1, + -1, + 943178845, + -1, + -1, + -1, + -1, + 260260500, + 65012817, + -1, + 986897608, + 830541414, + -1, + 257184834, + -1, + 272757638, + 332067001, + 744087604, + -1, + 610760292, + -1, + -1, + -1, + -1, + 978762264, + -1, + -1, + 254786707, + -1, + -1, + 886589341, + 128980064, + 858091589, + 32607088, + -1, + 394403413, + -1, + 256131333, + 278694143, + 676301107, + 963366897, + -1, + 937096386, + -1, + 105980042, + 585040176, + 919624228, + 675235726, + 154006222, + -1, + 818311188, + -1, + 345791812, + 223504488, + 825875260, + 498610613, + 924067707, + 60641639, + -1, + -1, + 196483865, + -1, + -1, + -1, + 773530582, + 148301813, + 426570552, + -1, + 359675009, + 694370526, + 994269857, + -1, + -1, + 145641543, + -1, + -1, + -1, + 356011773, + 437975008, + 195486492, + 531892761, + 328935424, + -1, + 796013387, + 937166442, + 651672430, + 812536184, + -1, + 763233068, + 252937769, + -1, + 42371614, + 372177934, + -1, + -1, + -1, + -1, + -1, + 412245591, + 47485859, + 544529715, + -1, + 25333166, + 759628073, + -1, + -1, + 678518185, + 180762270, + -1, + -1, + 196980529, + 83629633, + 383690060, + 172013627, + 357978029, + 838946472, + -1, + -1, + 200601619, + -1, + -1, + 158497016, + 670405992, + 645820094, + 192174504, + 427015566, + 256515268, + -1, + 224330384, + 770460407, + 500753686, + 982063265, + -1, + 111123158, + 408662203, + 991363472, + 695709475, + 700393805, + 654356951, + -1, + 509978125, + -1, + 787064155, + 363163955, + 728341072, + 821581638, + 972634283, + -1, + 407979053, + 746963844, + 678822976, + 672509231, + -1, + 858019337, + -1, + 525865532, + 235216313, + -1, + -1, + 14440021, + 838024140, + 866245431, + -1, + -1, + 728839298, + 416876444, + -1, + 300311632, + 147202225, + 420700861, + -1, + 902658247, + -1, + 707035330, + 266951341, + 251516446, + 570246184, + 404769106, + -1, + -1, + -1, + 325092994, + -1, + -1, + -1, + -1, + 129559117, + 15213935, + -1, + 361209334, + 22068587, + 133863676, + 536173543, + -1, + 815134066, + -1, + 881515485, + 329495054, + 529818461, + 126194332, + 218397434, + 772136390, + 132955984, + -1, + 674704717, + 188464731, + -1, + 503959058, + 432626897, + -1, + 947262646, + -1, + 949079265, + 617082933, + -1, + -1, + 815893661, + 889404712, + 846095580, + 321062428, + 489163350, + 688786382, + 177115197, + 278584230, + -1, + 589753781, + -1, + -1, + 605385447, + 4515718, + 972821055, + 202984096, + 319433926, + 244958953, + -1, + 257031452, + 411275638, + -1, + 583868726, + -1, + 358409833, + 704508644, + -1, + 233828454, + 887111352, + 53081951, + 888625703, + -1, + 630049204, + 814869790, + 191386166, + 850215781, + 227997468, + 401159570, + 388758001, + -1, + 503698404, + 512437606, + -1, + 762472660, + 217687972, + 91911533, + 209322788, + 361699013, + -1, + 592356757, + 973414811, + 740560660, + 743837257, + 998294462, + 543319207, + 489162449, + 565260158, + 572399818, + -1, + -1, + -1, + 21951704, + -1, + 800680901, + 536069924, + -1, + -1, + 769087056, + 449597494, + 119955957, + -1, + 311978195, + 485215987, + 846662370, + 568922162, + 163096888, + 477459765, + 768639037, + 711267647, + 734295782, + -1, + -1, + -1, + 404120491, + -1, + 851200333, + 2039109, + 386430266, + 660951396, + 626769669, + -1, + 698592428, + 31206609, + -1, + 419240368, + 996748371, + 549548505, + -1, + -1, + 6753084, + 372447936, + -1, + 985931339, + -1, + 556610279, + 749957927, + 61855386, + -1, + 418583146, + 413230935, + -1, + 952298593, + 353162730, + 174496792, + 563179179, + 48520007, + -1, + -1, + -1, + 749072982, + 170562339, + 257586772, + 855442989, + -1, + 345134827, + 923569349, + 884408356, + 800426111, + 957758006, + 878471570, + -1, + 442673159, + 34698151, + 541179317, + 50159602, + 721316823, + 557785446, + -1, + 177714306, + 358936702, + 938822717, + -1, + -1, + 828622537, + -1, + -1, + -1, + 107563133, + 429059315, + 157563794, + 905668321, + 434938419, + 152340346, + 619435901, + 914675047, + 260404694, + 732566575, + 16275568, + -1, + 120674781, + 884933119, + 41725866, + 734151966, + 370740731, + 730150370, + 480754794, + 353781570, + 43181125, + -1, + 593157172, + 418424472, + 96344894, + 575259808, + -1, + 482260109, + -1, + 379156198, + 537205226, + 241211319, + 805620702, + 869798610, + 624865822, + 50179902, + -1, + -1, + -1, + -1, + -1, + 661291942, + 730072391, + 621613807, + 415736634, + 402878376, + 979666619, + -1, + -1, + 727387335, + 169374851, + 662219998, + 562878787, + 792970517, + 22571308, + -1, + 145195951, + -1, + 260540396, + 285183354, + 665890876, + 445716326, + 420683847, + -1, + -1, + 768613193, + 163864396, + 148122537, + -1, + 376568321, + 509496604, + 336182280, + -1, + 915582364, + 650403297, + 669058438, + -1, + 160598499, + 645912140, + 93288554, + 659295230, + 618385095, + 993452918, + 256633007, + 420830198, + 997193636, + -1, + 107439423, + -1, + -1, + 278878917, + -1, + 771683939, + 158835313, + 643197079, + 875723398, + -1, + 713685527, + 597857196, + -1, + 945985291, + -1, + 466514990, + -1, + 773277960, + 960041387, + 955511130, + 984238967, + 807814979, + 975644575, + 711983833, + 60190139, + -1, + 853539722, + 934789658, + -1, + 680594183, + 589525696, + 845270334, + 947836552, + 69775208, + 124098962, + 831030393, + -1, + 180059612, + -1, + 908737104, + -1, + -1, + 329546531, + -1, + -1, + -1, + 99961749, + 703407935, + 132376658, + -1, + -1, + -1, + 302908165, + -1, + 107922151, + 564215314, + -1, + -1, + 616136193, + 992187391, + -1, + -1, + 999899286, + 278141104, + -1, + -1, + 402728954, + 107661563, + -1, + 794977195, + 154632364, + -1, + 559659955, + 805293861, + -1, + 81589031, + 219314703, + 746585626, + 183825730, + 867020135, + 49025421, + 548796093, + -1, + -1, + 384935112, + -1, + 345526793, + 956448041, + 5702791, + 519702442, + 711156305, + 732620756, + 553007280, + 13000278, + -1, + 936101033, + -1, + 156035668, + 477893751, + -1, + 869618708, + -1, + 56964007, + 315009071, + 730115765, + 581583813, + 323805020, + 409915931, + -1, + -1, + 87127025, + -1, + 517968432, + 35855663, + 132466249, + 115035404, + -1, + 379159479, + 808641564, + 399765344, + 125536559, + 15291154, + -1, + 770407810, + 516874418, + 570379276, + 102301690, + 954417881, + 851265603, + 67174704, + 552663582, + 112603884, + -1, + -1, + -1, + 28113489, + 785314761, + 47746501, + -1, + -1, + 724097795, + 669285081, + 758204673, + -1, + 206536938, + -1, + -1, + -1, + 497307009, + 833964088, + 341471337, + 803970954, + 318398830, + 234445560, + 339387994, + 185726897, + 40568008, + -1, + -1, + 492777965, + 164049590, + 134059662, + 949681130, + 873402532, + 136854757, + -1, + 573945001, + -1, + 58561727, + 952904442, + 818128995, + 405952424, + 3954512, + 55836141, + 137612540, + 198068539, + 982899901, + 905364306, + 554928784, + 748847834, + -1, + 612723421, + -1, + 975223468, + 937271301, + 123927310, + 520711605, + 51942213, + 452615939, + 396987169, + 661845214, + -1, + -1, + -1, + 45369244, + -1, + 845284094, + 702900404, + 871514532, + 983442520, + 466108871, + -1, + 696110536, + -1, + 136798194, + 678023570, + 944843785, + 22604721, + 581783450, + -1, + 857650690, + 888279370, + 253537043, + 566663959, + 948922840, + 292532423, + 799800138, + 371607839, + -1, + 726208357, + -1, + -1, + 73987974, + 159438833, + 92765751, + -1, + 788963583, + -1, + 61007205, + 65644155, + 804208944, + 149406070, + 410667949, + 336572105, + -1, + 267344169, + 972424842, + 138173321, + 852462897, + 901519072, + 764182996, + 557544, + -1, + 980633250, + 284424062, + 732412958, + -1, + 112492808, + 242566680, + 500220879, + 870726679, + 986357428, + 812774770, + -1, + 736290226, + 205784943, + -1, + 391862806, + 83670521, + 760073226, + 444742605, + 59206839, + 750254205, + 972485024, + 372238777, + -1, + 316704131, + 105564959, + -1, + 84665694, + 249166425, + 148715765, + -1, + 16314614, + 415241288, + 280586727, + 996088869, + 713960438, + 127136934, + 171667910, + 69771945, + 389812416, + -1, + 584646390, + 569990128, + 104466930, + 179197238, + 866563467, + 539775488, + -1, + 660325143, + 50310383, + -1, + -1, + 866844648, + 604593010, + 155571276, + -1, + -1, + 587433539, + -1, + 129123986, + 242776351, + 860365316, + 731341055, + -1, + 937629458, + 777285878, + -1, + -1, + 782029330, + 188988623, + 877349161, + 917375270, + -1, + -1, + 130738780, + -1, + -1, + 703050112, + 736231994, + 966589250, + 912714627, + 432721831, + 963483007, + -1, + -1, + -1, + 341619882, + 112690982, + 994162335, + -1, + -1, + 749320186, + 935747073, + 321890888, + -1, + 169808424, + 24726679, + 779250877, + 157036851, + -1, + 72137264, + 721570234, + -1, + 796598731, + -1, + 656558969, + 461407956, + 267949866, + -1, + 150036736, + 759847237, + 921925763, + 263167537, + 518973093, + 877634294, + -1, + 754536663, + 37485560, + 757774049, + -1, + 111688471, + -1, + 48089926, + -1, + 823815431, + 974572683, + 431704105, + -1, + 262113754, + 489287188, + 257015038, + 904909315, + 674048379, + 231577943, + 627171627, + 365570453, + -1, + 489998028, + -1, + 958495786, + -1, + 837784600, + 264982259, + -1, + 972582233, + 692052712, + 31919273, + 808527616, + -1, + 359709117, + 475437385, + -1, + 79000516, + 84471309, + -1, + 120219667, + 28623712, + 576272640, + -1, + -1, + 850543559, + 613477680, + 161345499, + 899656238, + -1, + 761536507, + 386505285, + -1, + 646018514, + 214806701, + 410866163, + 918783977, + 800855899, + -1, + -1, + 121129691, + -1, + 648594554, + 876672312, + -1, + 5219514, + 51154625, + 444013513, + 888155537, + -1, + 363853437, + 176525186, + -1, + -1, + -1, + 629583867, + -1, + 728717887, + 370724723, + 406942773, + 65588738, + -1, + 79243759, + -1, + 227588861, + -1, + -1, + 68172069, + 219086429, + -1, + 840146257, + 469273383, + -1, + 851596228, + 424023394, + -1, + 147385422, + -1, + 597180334, + 456508676, + 786415557, + 304363190, + 634797149, + 611454388, + 391446736, + 29001837, + 645282469, + 891018066, + -1, + 181044909, + -1, + -1, + 458011813, + 291283726, + 304126885, + 580565368, + -1, + 969585403, + -1, + 137244988, + 348859390, + 960435896, + 897620149, + 630108916, + -1, + -1, + 375019117, + -1, + -1, + 102885980, + -1, + 696266997, + 616683536, + -1, + -1, + -1, + 714102819, + -1, + -1, + 883443302, + 496309687, + 554267984, + 737650970, + 607232050, + 784097967, + 226625533, + 516112255, + 341580815, + 350086639, + 506056263, + 266372940, + -1, + -1, + 264539745, + 312374633, + -1, + -1, + 743197200, + 898191189, + 402673945, + 823690285, + 700553706, + -1, + 625013037, + 461384131, + -1, + 125484958, + -1, + -1, + -1, + 422779923, + -1, + -1, + 815888508, + 119975523, + -1, + 220239098, + 309463304, + -1, + 879530935, + 296411022, + -1, + 425215518, + -1, + -1, + 594679971, + 400278624, + 964646314, + -1, + 430899575, + 530458870, + -1, + 960256301, + 112605492, + 665488230, + 455049335, + 669169954, + 793056337, + 486617984, + 534881067, + 814910582, + 421857888, + 232402075, + 199668453, + -1, + 735378048, + -1, + 712339611, + 36722522, + 525278770, + 505519281, + 683644744, + -1, + 72952853, + 91587431, + 981580364, + 913377533, + -1, + 551989529, + 305428467, + -1, + 161093416, + -1, + 157773194, + 567286957, + 767446457, + 459360634, + 815184592, + 533060417, + -1, + 208461378, + -1, + -1, + 672463311, + 985157683, + 253915298, + 54253819, + -1, + 618208460, + 617719085, + 364471146, + -1, + 181690551, + 619001379, + 385612432, + -1, + 384427019, + 341806922, + 927773559, + 724271119, + 711058822, + -1, + 238084100, + -1, + -1, + -1, + 360758486, + -1, + 132390864, + -1, + 964829700, + 852200291, + -1, + -1, + 236247969, + -1, + -1, + 726286298, + -1, + 792291939, + -1, + 471539054, + 340280731, + 280855635, + -1, + 1799118, + 199312761, + 723966911, + 29090477, + 353364578, + 15530086, + 546199901, + 343362440, + 238839812, + 703470291, + 31396782, + -1, + 856886705, + 763631739, + -1, + 902840641, + 455441185, + 861490515, + 672411096, + 584331257, + 55625840, + 945510780, + -1, + 170272103, + -1, + 913470211, + -1, + 633828777, + -1, + -1, + -1, + 967713215, + 105843965, + -1, + 864939588, + 316961783, + -1, + 130251076, + 978942976, + 77104224, + 615324184, + 647403872, + -1, + 148211190, + 724917918, + -1, + 500315302, + 170022105, + -1, + 941390724, + -1, + -1, + 954453402, + -1, + -1, + 101228503, + 317176428, + 299460782, + 70470068, + 673834247, + 658463079, + 740528503, + 101328936, + -1, + -1, + -1, + 135985674, + 963393356, + 994819389, + 512869932, + 971745186, + 835385814, + 11962477, + -1, + 570326862, + -1, + 274672297, + -1, + 440492226, + 599347800, + -1, + 134305638, + 289690434, + 26686300, + -1, + 549660667, + -1, + -1, + 900810864, + 996627338, + -1, + 255696238, + 726784735, + -1, + -1, + 969391051, + 44535065, + -1, + -1, + 707262653, + 981232219, + 135239616, + 25056992, + 79399676, + 64312535, + 897457370, + 886893439, + 705977494, + 561741135, + -1, + 410068562, + 618549819, + 706666836, + -1, + -1, + 602854827, + 744462941, + 341601561, + -1, + 756098435, + 358450133, + -1, + 504200837, + -1, + -1, + -1, + 724604045, + 992321243, + 472530674, + 67465686, + 670523808, + 157757339, + 432111475, + -1, + 608447607, + -1, + 983794032, + 652605401, + 979285100, + 47637237, + 510652472, + 202617528, + 792107323, + 43162746, + -1, + 585114681, + -1, + -1, + -1, + 775476953, + 19666624, + 750117163, + 34137164, + -1, + 678661660, + -1, + 523423624, + -1, + 429351829, + -1, + 783531418, + 417906251, + -1, + 545055750, + 993293026, + 540515385, + 58751508, + -1, + 523424266, + 395725056, + -1, + 505988998, + 604992122, + -1, + -1, + -1, + -1, + 469945255, + 881783349, + 187599527, + 408247640, + 667734548, + 98248591, + 189480880, + 897856445, + -1, + 996907216, + 727693572, + -1, + 812526446, + 973193825, + 860850645, + 327002385, + 157609586, + 553576148, + 620963800, + 780536069, + -1, + -1, + 191405958, + 821074540, + -1, + -1, + 182368073, + -1, + 247834258, + -1, + 316401300, + 519976577, + 88596638, + -1, + 536900414, + 530835521, + 828123790, + 165540652, + -1, + -1, + 724049861, + 675271834, + 390876290, + -1, + -1, + 876441859, + 901970555, + -1, + -1, + 504231647, + 977271519, + -1, + -1, + 401925715, + 87743585, + 178018065, + 595280751, + 24493228, + 230246442, + 402659372, + 580355602, + -1, + 551858653, + 55176809, + 876354906, + 56688750, + 816840179, + 720462453, + 535927389, + -1, + 989771231, + 145991879, + 129390098, + 540111044, + 229276374, + 69066543, + 522343772, + 82730883, + -1, + 383391156, + 811314885, + 669618488, + 117258930, + 452822648, + -1, + 178958940, + -1, + 987549752, + 840109442, + -1, + 642833267, + 571592978, + 461057460, + 685894757, + -1, + 567888391, + 655769725, + 789018579, + 164552122, + 62648067, + 167433226, + 355485507, + -1, + 403429830, + -1, + 409509915, + 320427347, + 275885757, + 379699199, + 395196116, + 939825593, + 732681858, + 467550708, + -1, + 681506886, + 739872817, + 201009186, + 219181206, + 970832289, + 293694328, + 507728102, + -1, + -1, + 883355982, + -1, + 260672336, + 365771733, + 38591573, + 167321741, + 166134801, + -1, + 892776604, + 585636739, + -1, + 687442736, + 368301850, + -1, + -1, + -1, + 692658676, + -1, + 3413450, + 680166384, + 285389588, + 120674218, + 356013634, + 799759387, + -1, + -1, + 373553109, + -1, + 825289066, + -1, + 819982117, + 547251053, + -1, + -1, + 714199209, + 842203140, + 905370965, + 340273391, + 530518300, + 103856123, + 818123507, + -1, + 969295106, + 246344661, + 875723132, + -1, + 27157440, + 929712140, + -1, + -1, + 540802164, + 485025889, + 7542955, + 614830570, + 772011297, + 307775073, + 653635600, + 720001537, + -1, + 698383938, + 420104979, + 670780441, + 575145214, + 22973290, + -1, + -1, + 846460197, + 814845871, + -1, + 33255365, + 435827639, + -1, + 901239195, + 669091874, + 918946046, + -1, + 382692318, + 791875366, + 451358202, + 6858967, + 729656960, + 748492932, + 177747845, + 452747682, + -1, + -1, + -1, + -1, + 76404727, + -1, + 681783558, + 170020443, + 196834673, + -1, + -1, + 461830084, + 50656236, + 573539497, + 367767202, + 504111136, + 560697215, + 349280344, + 457090811, + -1, + -1, + -1, + 113660718, + 756214666, + 658599641, + 618524012, + 84841786, + 81472739, + -1, + 483182920, + 310319423, + 91030084, + 442016115, + 510944826, + -1, + 120135455, + 581927266, + 948458800, + -1, + 402409365, + 94687680, + -1, + 970443678, + 969895509, + 505309801, + 537244826, + 934852010, + 118914357, + 940834779, + -1, + 833969969, + -1, + 800808673, + 798213620, + 859729571, + 60752739, + 719882457, + -1, + 839142610, + 929041342, + 413435952, + 849935744, + -1, + -1, + -1, + 778994217, + 697404947, + 368683489, + -1, + 94717297, + -1, + 235452672, + -1, + 452808016, + -1, + 607792757, + 23629874, + -1, + 445253839, + 521884583, + -1, + 357216378, + 918701522, + 947083779, + 584920081, + 913964810, + -1, + 798876518, + -1, + -1, + -1, + 670394620, + 180935513, + 23398793, + 840898407, + 703706412, + 689588933, + 316602831, + 245780964, + -1, + 116522652, + 883838684, + 567785958, + 776053097, + -1, + 533167674, + -1, + -1, + -1, + -1, + 247349847, + 393135327, + -1, + -1, + 422303542, + 849514649, + -1, + 70260157, + 127824081, + 211513082, + 98065140, + 158079692, + 161623924, + 58209611, + 81887873, + 327705841, + 64304531, + 907337012, + 128046507, + -1, + 575023689, + -1, + -1, + -1, + -1, + 937623243, + -1, + -1, + -1, + 193247786, + -1, + 386061687, + -1, + -1, + -1, + 241486917, + 838223161, + -1, + 365332069, + 777118206, + 35445875, + 57452369, + 486687309, + -1, + -1, + -1, + 811260709, + 203308177, + 345151644, + 437009586, + -1, + 518264054, + 921930056, + -1, + 765558212, + 82454130, + 814164764, + 317348735, + 169843716, + -1, + -1, + 54091380, + -1, + 486783001, + 983165850, + -1, + 638808614, + -1, + 474901892, + -1, + 334324030, + 620382041, + -1, + 828479486, + -1, + -1, + -1, + 884065226, + 384246623, + 592144228, + 630489797, + -1, + 390735298, + -1, + 761551844, + 643645048, + -1, + 243605775, + -1, + 976848792, + 852102800, + 845315435, + 909925164, + 200465571, + 212448925, + 790017376, + 300211869, + 608490957, + 520146264, + 969921206, + 901457481, + -1, + 177970799, + -1, + 994769462, + 628926056, + 947943296, + 934142647, + 267244138, + 287474502, + 966886085, + 392705103, + 787684712, + 659622530, + 899724847, + 90801155, + -1, + 414941371, + -1, + -1, + 437123160, + -1, + -1, + 742011113, + 303986509, + -1, + 519157260, + -1, + -1, + 877265905, + -1, + 220871094, + 352808950, + -1, + 870115653, + 899278850, + 933279306, + 547886574, + 475669273, + 321123473, + -1, + 687371610, + 807349252, + -1, + 621978218, + -1, + -1, + 640160533, + 473110088, + -1, + 612338545, + 467525862, + -1, + 787297535, + -1, + -1, + 22227773, + 358834040, + -1, + 340019655, + 782397792, + 710826101, + 351794599, + -1, + 938226725, + 38629868, + -1, + 685491656, + 72423897, + -1, + 91697307, + 952732299, + -1, + 728825807, + 984057637, + -1, + 717357766, + 592070208, + -1, + 562492363, + -1, + -1, + 947208631, + 939529794, + 210750999, + -1, + 649831121, + 222467229, + -1, + 99864067, + 561378152, + 179338043, + 175390289, + 495190361, + 864610693, + 4606283, + -1, + 520578775, + 647887243, + 441659846, + 985821286, + 702396601, + 803847348, + -1, + 529015147, + 382253543, + -1, + -1, + 516704737, + 579293838, + 318500886, + 301596245, + 336184371, + -1, + 639734966, + 655386597, + -1, + 404207224, + -1, + 690069030, + 225956001, + 842282064, + -1, + 334404990, + 938939264, + 209522964, + 367799056, + -1, + 412810175, + 690806569, + -1, + 164474177, + 673222301, + 129583269, + 502917463, + -1, + -1, + 981030054, + 59609196, + 171673823, + 977778541, + -1, + 166414148, + 261636548, + -1, + 733273585, + -1, + -1, + -1, + 482928583, + 327841417, + -1, + 577874200, + 369603283, + -1, + -1, + 423267881, + -1, + 740216766, + 371909098, + -1, + 178170385, + 478398555, + -1, + -1, + 900732349, + 91403058, + -1, + 233676838, + -1, + 144076181, + -1, + -1, + 955894467, + -1, + 721445310, + 216327520, + 597986771, + 370645862, + 612727117, + 656829665, + 619641127, + 852112648, + 924000056, + -1, + 204614200, + -1, + 773565930, + 417954353, + 223416082, + -1, + 188371603, + 480479243, + -1, + 980742017, + 723164285, + 126421338, + 645133494, + -1, + 432135054, + 846442593, + 152111315, + -1, + 845229339, + 145501129, + -1, + 121052239, + 38542486, + 222248662, + -1, + 967012993, + -1, + -1, + 52015479, + -1, + 282591272, + -1, + -1, + 789290154, + 164572692, + 187568032, + 403464482, + -1, + -1, + 538161092, + 235487661, + -1, + 876404828, + 64454408, + 508248930, + 941029189, + 835018402, + 79000771, + 718895335, + -1, + -1, + -1, + -1, + -1, + 369576371, + 97489942, + 204681355, + 735826464, + -1, + -1, + 780520205, + 21959836, + 491700051, + 190670769, + -1, + -1, + 448286764, + 535568478, + 929106449, + -1, + -1, + 496416604, + 865836221, + 407529097, + -1, + 552800803, + -1, + -1, + -1, + 706604881, + 666245405, + 976661854, + 758853357, + 204195515, + 406622329, + 13315121, + -1, + 577866978, + -1, + 431727560, + 172155459, + -1, + 939299017, + -1, + 25721746, + 162243878, + -1, + -1, + 500452531, + -1, + 954828254, + -1, + -1, + -1, + -1, + -1, + 927589300, + -1, + 430331775, + 636447707, + 162241553, + -1, + 553329738, + 541241877, + 613768237, + 349113772, + -1, + 159284798, + 717341975, + 913240606, + -1, + 36643214, + 274845334, + 649375441, + 590930934, + 509123866, + 858161444, + 766746485, + -1, + 484958209, + -1, + 339464752, + -1, + 929840311, + 273221358, + 206746291, + -1, + 344165285, + 47135508, + 633880849, + 503310492, + -1, + 316638852, + 408823727, + 713823041, + 574319176, + -1, + -1, + 278093976, + -1, + 912673245, + 378810497, + -1, + 150879188, + 293446419, + 682878892, + 135604052, + 696538200, + 467984473, + -1, + -1, + -1, + 284557469, + -1, + -1, + 11893320, + 479023841, + 435221030, + 877345876, + 485023253, + 157278251, + -1, + 296785816, + -1, + -1, + 239054236, + 214836167, + 272356553, + 797966616, + -1, + 350428387, + 950822178, + 650420903, + 923810565, + 176395963, + 415338542, + 191178397, + 875154445, + 342101909, + -1, + 92512293, + -1, + 743489968, + -1, + 637490176, + 696534211, + 708629599, + 251161842, + -1, + 195541636, + 369025817, + 972003915, + -1, + 888902881, + 413302194, + 795121879, + -1, + 506175526, + 905289864, + 429301453, + 23239989, + -1, + 636273075, + 45794098, + 50154416, + 94741733, + 278428157, + 450130320, + 632192003, + 623754334, + 915556740, + -1, + 648833436, + 113514918, + 173535166, + 823021835, + 203657070, + 90974544, + 479298859, + 914833036, + -1, + -1, + -1, + 143223642, + -1, + 510673092, + -1, + 307853367, + 131425133, + 166412574, + 838228399, + 257318204, + 500879225, + 633261201, + -1, + -1, + 450154730, + -1, + 670186641, + -1, + 397326233, + -1, + 899103186, + 876692929, + -1, + 96668412, + -1, + 48412331, + 390105622, + 689389746, + 37570804, + -1, + 245265222, + -1, + 14637901, + 825326688, + -1, + -1, + -1, + 974609261, + -1, + 958368127, + -1, + 307190696, + -1, + 155326519, + 469384648, + -1, + -1, + 960860313, + -1, + 368186897, + -1, + 489701001, + 512673540, + 470908631, + 774851433, + -1, + 818907608, + 75129936, + -1, + 449822951, + 647645930, + 372432467, + 315014894, + -1, + -1, + 563455769, + -1, + 746113529, + 201202921, + 906222120, + -1, + 860123387, + 348994748, + -1, + -1, + 564071014, + -1, + 471936522, + 935716218, + 409571030, + -1, + 904637486, + 1930729, + -1, + 377594966, + 87324731, + 473111865, + -1, + 755016529, + 901393923, + 500987949, + 713484847, + 753526093, + 319396549, + 503996403, + 765671398, + 623136690, + 539455451, + 105348220, + -1, + 158850324, + 559443698, + -1, + -1, + 695776211, + 985371375, + 699301560, + 266987943, + 438219130, + 573168203, + -1, + 38192980, + 877041226, + 909295297, + 128646076, + 745529247, + 388721170, + 467618154, + -1, + 736349988, + 131655060, + 553434045, + -1, + 997584640, + -1, + 822429674, + 234061527, + 599992138, + 864420770, + 546256280, + 75093020, + 239551683, + -1, + 255197387, + 829643601, + -1, + 36067933, + 913606565, + 637785751, + 999622740, + 323826874, + 893221801, + -1, + -1, + -1, + 479768897, + 788108762, + 311230427, + -1, + 188248666, + 495432580, + -1, + 171658374, + 216095961, + -1, + -1, + 956226842, + 503172031, + 631910377, + 413152513, + -1, + -1, + 291770281, + 776502783, + 541832809, + 53333103, + 727353783, + -1, + 961245446, + -1, + 553979706, + 57646080, + 817547456, + -1, + 762304990, + 722085747, + 853242559, + -1, + -1, + -1, + -1, + 612939310, + 757545177, + -1, + 172607877, + 600328548, + 816757213, + 734055958, + 525903880, + 66261039, + -1, + 185995570, + 842614264, + 338524590, + -1, + -1, + 759199331, + 938287767, + 481865433, + 60570021, + -1, + 538387983, + -1, + -1, + 12554046, + -1, + 593839435, + 828167524, + 226023415, + -1, + 192852403, + 376315585, + 549826725, + -1, + 218322851, + -1, + 193846896, + 736441991, + 164020269, + -1, + -1, + 199712754, + 491397717, + 8754104, + 112534432, + 907506445, + 772058689, + 15414931, + 71536470, + 521515286, + 596501982, + -1, + -1, + -1, + 636625735, + -1, + 995133316, + 687312147, + 616168195, + -1, + 765538629, + 231085635, + 563635165, + -1, + 3953072, + 827335774, + -1, + 117483628, + -1, + -1, + 340279716, + 981649478, + -1, + 489521584, + 695606952, + 206856356, + -1, + 289064807, + 921997389, + -1, + 19339899, + 245275751, + -1, + 217184360, + 524194984, + -1, + 318969503, + -1, + 911342905, + -1, + -1, + 759257750, + 792504234, + 418097935, + 640659212, + 575374908, + 454645736, + 700211384, + 757923963, + 538751230, + 762795384, + 188796011, + 245654915, + 653014166, + 595719802, + 307910051, + 340978462, + -1, + 532434177, + 789910516, + 630521154, + -1, + 137987317, + 565583405, + 351922942, + -1, + -1, + 999545024, + 875617749, + 333466573, + 240543738, + -1, + -1, + 713727520, + 279148933, + 527240179, + 86419977, + 661145298, + 236461223, + 440532879, + -1, + 352566171, + 372163876, + 127076064, + -1, + 30792697, + 902666501, + 607438294, + 546814520, + -1, + 337021849, + 64177775, + 106565760, + 292365169, + 52471657, + 558094358, + -1, + 27826742, + 766535407, + 908519923, + -1, + 857252123, + 181968012, + 693323176, + 135042192, + 68986039, + -1, + 534238764, + 363870132, + -1, + 892826590, + 61346209, + 623117786, + 276636667, + 857529996, + -1, + 931855313, + 729598540, + 890909056, + -1, + -1, + -1, + 36773060, + 466506828, + 133501008, + -1, + -1, + -1, + 329433955, + -1, + -1, + 962823469, + 57151580, + 622935154, + 702348220, + -1, + 82564762, + -1, + 786549499, + -1, + 605924842, + 136479372, + 451918539, + 320258017, + -1, + -1, + 928922889, + 468857953, + 294279155, + -1, + -1, + -1, + 643547201, + 761110140, + 439777520, + 674255669, + 895384627, + 413703645, + 279947034, + 156645285, + 188500933, + 276681839, + 986460113, + -1, + 603919147, + -1, + 644401701, + 347108347, + -1, + -1, + 480507874, + -1, + 804763749, + -1, + 547462977, + 858857063, + 637407119, + -1, + 295313301, + 46964656, + -1, + 96674647, + 452574120, + 813310915, + -1, + 154519699, + -1, + -1, + 192923111, + -1, + 402420045, + 701695328, + 940056499, + 186395938, + -1, + -1, + 883062812, + -1, + 1725901, + 729720748, + 904256943, + -1, + -1, + -1, + 456050016, + 906434179, + 858059398, + -1, + -1, + 788025944, + 890087177, + 728550626, + 83196239, + 637340858, + 653546360, + 795643425, + 682883542, + -1, + -1, + -1, + -1, + 189939005, + 749892444, + 303179289, + -1, + 760486741, + -1, + 477658846, + 879858480, + -1, + 404481290, + 816043688, + 959087554, + 819283583, + 240159231, + 836538141, + 254628961, + 421416407, + 962443330, + 28408580, + 645463501, + -1, + 646020344, + 760561204, + -1, + 979211595, + -1, + 197847248, + 669081350, + -1, + 478321082, + -1, + 85684007, + 979247880, + 292002322, + -1, + -1, + 477371329, + -1, + 654870922, + -1, + -1, + 169707133, + 761865155, + -1, + 11979333, + 775039576, + 221964675, + 879855425, + 347957699, + 332107489, + 689612353, + 244478363, + 260915697, + 461459518, + 124611614, + 332264291, + 824251155, + 280103779, + 401852119, + -1, + -1, + -1, + 787751236, + -1, + 561141627, + 337452439, + 853760764, + 696694711, + 326323247, + 791990445, + -1, + 240262563, + 347783537, + -1, + 634901250, + 258916751, + 487093316, + 629746557, + 578618582, + 227298362, + 882952621, + 533496470, + 124076009, + -1, + -1, + -1, + -1, + 889198898, + 922677486, + -1, + 320674795, + 326684948, + 826864800, + 234029439, + 621193659, + -1, + 744142230, + 121282634, + 784607506, + 590021273, + -1, + 360586282, + 766078749, + 408269363, + 766314506, + 828003064, + -1, + -1, + 674424824, + -1, + 654745614, + 506514128, + 520543631, + 279073904, + -1, + 125486076, + 446466898, + -1, + -1, + 468613788, + 320471697, + -1, + 720821640, + -1, + 118095742, + -1, + 857121960, + 678927429, + 151365133, + -1, + 893708699, + 729843285, + 97181430, + 126734204, + 719322631, + 780842896, + 67970823, + 314610446, + 744130857, + -1, + 361101772, + 109915155, + 149166692, + -1, + 937244201, + 767971309, + 765533932, + -1, + 138206634, + 248009838, + 212136327, + 745354564, + -1, + 926265411, + -1, + -1, + 507032993, + -1, + 816196972, + 85524933, + 634479821, + -1, + 181112634, + -1, + 91734692, + -1, + 126993718, + -1, + -1, + 657861394, + 902498258, + 645327786, + 917200471, + 959934068, + 328020752, + 889131520, + 674604860, + -1, + 468050293, + -1, + -1, + 570323416, + 365033874, + -1, + 553243095, + -1, + 776480919, + 143764530, + -1, + 857325061, + 52037432, + -1, + 30851444, + 486953520, + 133427930, + 309040248, + 915383862, + 565522624, + 20218085, + 893659242, + -1, + 99823454, + 49511949, + 737427938, + 668286647, + -1, + 180065721, + 425492418, + -1, + 969649261, + -1, + -1, + 876943569, + 353426982, + 989244523, + -1, + -1, + 562807273, + 230264241, + 353067365, + -1, + -1, + 132361234, + 512659921, + 420614030, + 73916698, + 699531483, + 110188158, + 415950134, + 466161113, + -1, + 451280262, + -1, + -1, + 121814942, + 442369566, + 702537016, + 348014521, + 897062631, + 621717182, + 169011220, + -1, + -1, + 218564801, + 32555200, + 98345268, + 985315659, + 597468255, + 959167017, + 418243535, + 285617811, + 256587130, + 284592380, + -1, + -1, + 130798179, + 801527499, + 193832372, + 475980663, + -1, + 866746549, + 475544235, + 919324461, + 358210087, + 700285534, + 468546593, + -1, + 178406988, + 568803339, + 263882108, + 46163966, + -1, + 152831152, + 26723819, + 751918320, + -1, + -1, + 457104293, + 921966020, + -1, + 743750859, + 687145986, + 618845940, + 234500588, + -1, + 769861198, + 558997184, + -1, + 146997532, + -1, + 457115602, + -1, + 305749371, + 899917696, + 283083416, + 892342899, + -1, + 429235181, + 51703265, + -1, + 323366710, + 53599414, + -1, + 499361721, + 527967617, + 300020395, + 26265277, + 408978085, + 479998269, + 413272805, + -1, + 144185665, + 867964790, + 29233650, + 222775385, + 867210287, + -1, + 161776204, + 371778942, + 21363395, + 832451272, + 611853728, + 76428680, + 730406319, + -1, + 174746474, + 871176143, + 816015609, + 165700432, + -1, + 836217485, + -1, + 715256376, + 585578742, + 769234660, + -1, + -1, + 138968204, + 627408083, + 446336168, + 855240671, + 940988130, + -1, + 686235054, + 649376572, + -1, + -1, + 989070857, + 327680161, + -1, + 552406307, + 850259374, + 880137875, + 801992789, + 104074632, + 278000389, + 841440835, + 98823466, + 844342479, + 936328851, + 177885436, + 107475636, + -1, + -1, + -1, + -1, + -1, + -1, + 930610936, + -1, + -1, + 12675815, + -1, + 383352915, + 7229155, + 888694640, + -1, + 163840162, + -1, + -1, + 686058417, + 158739866, + 475085014, + 332382056, + 737291279, + 177913625, + 482154117, + 864934645, + 893576173, + -1, + 565215312, + 414015463, + 402316694, + 55319698, + 738595432, + 581455553, + 805589231, + -1, + 439174810, + -1, + 128516846, + -1, + 428341805, + 463336291, + -1, + 267193516, + 967961287, + 799540462, + -1, + 601838286, + -1, + -1, + 93269292, + 307455500, + 198435399, + 547120202, + -1, + 609694731, + 881304473, + 227461369, + 398218382, + 992237037, + 498824292, + 5534895, + -1, + 576355388, + -1, + 298420428, + -1, + 958467603, + 822291545, + 364947442, + 106741940, + 546824748, + 131123773, + -1, + 517588311, + -1, + -1, + 289616854, + 957187112, + 405724938, + 942647688, + -1, + 168616618, + 760926381, + -1, + 294029837, + 656932060, + 350957696, + 65966983, + -1, + 490792188, + -1, + 163117839, + 252707386, + -1, + 935221264, + -1, + -1, + 815503303, + 395767713, + 131393231, + 851607065, + 884838784, + -1, + -1, + -1, + -1, + 269781437, + -1, + -1, + 930470859, + -1, + 930240461, + 962863478, + 965537977, + 600632697, + 182103199, + -1, + 849776392, + 717156254, + 103147487, + 828616782, + 656102238, + 225897904, + 997977677, + -1, + 453023037, + 590494099, + 534704310, + -1, + 355956330, + -1, + 394913255, + -1, + 657831985, + 258108663, + 567072508, + 474832665, + 46107697, + 995179442, + 687245547, + 816587359, + 387925800, + -1, + 111696189, + 296816847, + 222863684, + 595066259, + 668092667, + -1, + -1, + 370289142, + 334525806, + 647949746, + 41846201, + 902885529, + 880764986, + 644594541, + 675401813, + -1, + 198154349, + 308278550, + -1, + -1, + 463684793, + 514293589, + 886441835, + 678786563, + -1, + 654571254, + 218479251, + 237487732, + 925889793, + 319449258, + 57129592, + -1, + 832180901, + 858345239, + 806204891, + -1, + 947505125, + -1, + 800994510, + -1, + 346997536, + 759124700, + 659560871, + -1, + 588807524, + 463534368, + 432776685, + 66277541, + 423897825, + -1, + 817748611, + -1, + 43116758, + 919064517, + -1, + -1, + -1, + 431480611, + -1, + 955257684, + 602006126, + 814389641, + -1, + -1, + 11935347, + 42244974, + -1, + 548689127, + -1, + 924738607, + 603806835, + -1, + 540334919, + 587719193, + 414241683, + 665207758, + -1, + 322985873, + -1, + -1, + 695207895, + -1, + -1, + 456336907, + 488078910, + -1, + 59654713, + 5938001, + -1, + -1, + 92357694, + 153994655, + 812763647, + 368147277, + 231192840, + 407123290, + 407591671, + 944878456, + 114716690, + 253540990, + 14059801, + 773683116, + 293168856, + 637739461, + 563119229, + -1, + 962668580, + -1, + 855012281, + -1, + -1, + -1, + 402529912, + 284657816, + 870204784, + 71304083, + 994972524, + 340419705, + 248740172, + -1, + -1, + 655166330, + -1, + 369324751, + 822871494, + 153230108, + -1, + 560047708, + -1, + 739481614, + -1, + -1, + 630869486, + 5222068, + 271780019, + 314492450, + 61171255, + -1, + -1, + -1, + 380264589, + 583146397, + 629362095, + 689663441, + 150585658, + 121028727, + 285552191, + 127426160, + 262437824, + -1, + 489472032, + 218820795, + 397210390, + 653423516, + 200434728, + 139843866, + 600414609, + 230845711, + -1, + 763290908, + 793866630, + 367848654, + -1, + -1, + 476840799, + 739266264, + -1, + 152095299, + -1, + -1, + 949029765, + 178234326, + -1, + 333831398, + 323040874, + 262700407, + -1, + -1, + 125897960, + 544563293, + 502991555, + 935374950, + -1, + 287744900, + 301864536, + -1, + -1, + 641005820, + 299462328, + 44570168, + -1, + -1, + 311693708, + 452078315, + 519471209, + 876213052, + 118437109, + 476406809, + 204950557, + -1, + 132269705, + 563333316, + 926901728, + -1, + -1, + -1, + 205220662, + -1, + 5821846, + 636776468, + 3125983, + 956233993, + 738391357, + 684469695, + -1, + -1, + -1, + 144899833, + 558369507, + 261521052, + 484777754, + -1, + 33700639, + 937134222, + 92319512, + 665132760, + -1, + -1, + 716233841, + -1, + 412767688, + 535614916, + 414669678, + -1, + 787481852, + 844237225, + 478767434, + 330051695, + 107331069, + 736112791, + 200962463, + 930363757, + 361476723, + -1, + 539989636, + 677725372, + 597785680, + 358923939, + -1, + 744867791, + 367722011, + 528406810, + -1, + 207760447, + -1, + 938204561, + 961351433, + 41279150, + 544404314, + 72867527, + -1, + 611357533, + 525924962, + 217236589, + 631819030, + 431319864, + 573684218, + 587685628, + -1, + 565014688, + 46458701, + -1, + 247086684, + 438977825, + 770214613, + 451657967, + 909873997, + 257817986, + 227446564, + 351548691, + -1, + 960576147, + 944442802, + 146675421, + 663581626, + -1, + 364536770, + 59345003, + 845990280, + -1, + 7250510, + 179382148, + -1, + 84321189, + 954339449, + 882085089, + 339791341, + 705931858, + 954049578, + -1, + 57916620, + 917028497, + 847194884, + 838812635, + 707730026, + 450278808, + 266986072, + 838207154, + -1, + -1, + 178396259, + 762454302, + 819621715, + -1, + 558887255, + -1, + -1, + 19482980, + 159039202, + 573814653, + 889744143, + 687624092, + 408305756, + -1, + 819420612, + 162131151, + 398087942, + 790570300, + 776628391, + -1, + 235786054, + -1, + -1, + 396199285, + -1, + -1, + 341784360, + -1, + 870686975, + -1, + 765569888, + 135574201, + -1, + 435892135, + 218441177, + 957509691, + 764272118, + 771811718, + 846321694, + 608970981, + 941850747, + 628286830, + -1, + 128253764, + 71009589, + 771777025, + 698667801, + 757529013, + 325044894, + 480418387, + -1, + 210359527, + 520147534, + 917513148, + -1, + 223845229, + 38960840, + 924811719, + 230117850, + 785045133, + 296030105, + 143046045, + -1, + 4067177, + 802793491, + 725177649, + 735021725, + 916009318, + -1, + 347372152, + 703196314, + 915214777, + 153016374, + -1, + 742815363, + -1, + 496252267, + 543431994, + -1, + 358627726, + 158427814, + -1, + 355537157, + 641063142, + 671678272, + 103120992, + -1, + 899994647, + 370447556, + 514641110, + -1, + 473071908, + 449377950, + -1, + 859534137, + 815587096, + -1, + 605976303, + 987764637, + 667054524, + 431649175, + 225503181, + 665433899, + -1, + 144209133, + 944786078, + -1, + -1, + 839969405, + 408582905, + 653146426, + 958147471, + 392587226, + -1, + 223860302, + -1, + 961553934, + -1, + 601677363, + 551742156, + 108352135, + 399989145, + -1, + 65355158, + 803242562, + -1, + -1, + -1, + 391057068, + 775341664, + -1, + 909270907, + 453900437, + 436408333, + 90922343, + 406997401, + 727153361, + -1, + 247335469, + -1, + 599741519, + 311164495, + 332389678, + 163647124, + 361054576, + 867680555, + 332481030, + -1, + 337048314, + -1, + 639085987, + 607538706, + 228447678, + 366065040, + -1, + 2665782, + -1, + 190737744, + -1, + -1, + 581637765, + -1, + -1, + 885030829, + -1, + 82667033, + 550415798, + -1, + -1, + 321170629, + 659261138, + -1, + 942413396, + 859602837, + -1, + 540120730, + 307423427, + -1, + 334652637, + 385392167, + 616937952, + -1, + 320035402, + -1, + 724167834, + -1, + 317017272, + 824850278, + 873265421, + 338551018, + -1, + 314517053, + 811963159, + 128180481, + 81038153, + 82478800, + 451640482, + -1, + 95329731, + 527853618, + 18569658, + -1, + 481244361, + -1, + -1, + 249553977, + 104721266, + 467356250, + -1, + 580873560, + -1, + 114691694, + -1, + 23969720, + 464873635, + -1, + 356219542, + 513970926, + 400259535, + 185143371, + 303558730, + 165257720, + 512876961, + 844083309, + 876651353, + 833191503, + 847534085, + 36872673, + 277473866, + 399147415, + -1, + 44366383, + 526811532, + 426946913, + 215098288, + 41844128, + 810593417, + -1, + -1, + -1, + -1, + 630448501, + 677390981, + 760657789, + -1, + -1, + -1, + 875027802, + 757972043, + -1, + 558826091, + 393978845, + 13826872, + 111732616, + 237377644, + 500439715, + 786190507, + 645044234, + 560215348, + 966742617, + 911273200, + 741828797, + 138936574, + -1, + 754355686, + 251758561, + -1, + -1, + -1, + 719576092, + 684132456, + 554007690, + 885506946, + 525409680, + 223399427, + -1, + 747371051, + 794541130, + -1, + 472610148, + 514578448, + 71273640, + 705302594, + -1, + 496364412, + 894309705, + 158429009, + -1, + 710616208, + -1, + 350251881, + -1, + -1, + 457152055, + -1, + 16104284, + -1, + 328214346, + 524847965, + 893713226, + 548729776, + 129324698, + -1, + 736978891, + 74955205, + -1, + 440830700, + -1, + -1, + 601492742, + 21254171, + 777148408, + 587878621, + -1, + 777654230, + 411720896, + 845895068, + -1, + 110341401, + -1, + 273742099, + 998113321, + -1, + 620949947, + -1, + 583686194, + 828789912, + 845916027, + -1, + 394686480, + 30578361, + 81654563, + 23511096, + -1, + 659352103, + 134443703, + -1, + 523010419, + 810560382, + -1, + 973834969, + -1, + 533606711, + 246524501, + 996288521, + 503616358, + -1, + -1, + 730932759, + 416312666, + 819353393, + 915948760, + 484419560, + 234703885, + -1, + 21816002, + 594611040, + 424310950, + 350079915, + 820961283, + -1, + 894886444, + 570359096, + -1, + 124990449, + 188683671, + -1, + 443440753, + 299135865, + -1, + 218753380, + 491873990, + 964154523, + -1, + -1, + -1, + -1, + 955245796, + -1, + 654329982, + -1, + 450092611, + 865357294, + 250757773, + -1, + -1, + 914451008, + 959948997, + -1, + 894764011, + -1, + 594141967, + 670442088, + -1, + 608247590, + -1, + 387589341, + 938708940, + 816227059, + 812756712, + 583374473, + -1, + -1, + 777632236, + -1, + 177805500, + -1, + 826845841, + 536442225, + -1, + 399186988, + 525088327, + 253803075, + 329782596, + -1, + 665315768, + 702381802, + 38385214, + -1, + 104740893, + -1, + -1, + -1, + 318801934, + 885758667, + -1, + -1, + 911518657, + 4708245, + 285857908, + 724744797, + 448584830, + 729477275, + 149169006, + 851467948, + 249586289, + -1, + -1, + -1, + 791178304, + 713790803, + 952693297, + 761801525, + 192737250, + -1, + -1, + 541766332, + -1, + 77171391, + 730490225, + -1, + -1, + -1, + 234505095, + -1, + 858385870, + 717067702, + -1, + 728843833, + -1, + 556586183, + 744333808, + -1, + 494980181, + -1, + -1, + 116396784, + -1, + 239532539, + -1, + 911541507, + -1, + -1, + -1, + 136875926, + 3502578, + 519202009, + 586628039, + -1, + 286582035, + 946638772, + 52036928, + 109022540, + -1, + 816318084, + 536138894, + 564431280, + 718238472, + -1, + 818981850, + 975509873, + -1, + 488838851, + 426325079, + 312895858, + 310996982, + -1, + 24094394, + -1, + 649149205, + 884072924, + -1, + 388134985, + 657068148, + 684174113, + -1, + -1, + 277533018, + -1, + 82942015, + 337875324, + 877642283, + 420909479, + 73531119, + -1, + 217036349, + 130800923, + 669087442, + -1, + 35281129, + 892790891, + 650759177, + 598171390, + 490333360, + 527764859, + -1, + 764821808, + 238444540, + -1, + 453194496, + 816510454, + 889299385, + 346723886, + -1, + 306034514, + -1, + -1, + -1, + 677203151, + 198757072, + -1, + 945391914, + -1, + -1, + 232537639, + 773218962, + 677069834, + -1, + 345335157, + 422812096, + -1, + 766617231, + 212837120, + 75624618, + -1, + 547170681, + 245921564, + -1, + 739776517, + 315189019, + -1, + 478851209, + 349799160, + 714899975, + 160890429, + 244411911, + -1, + 230989366, + 560519738, + -1, + -1, + -1, + 38322916, + 994216906, + -1, + 701261670, + -1, + 825164453, + 147662221, + 442940839, + -1, + -1, + 883146665, + 86916192, + 977907602, + 288528691, + 204333405, + -1, + 451761161, + 524042361, + 667013806, + 198707820, + 690266888, + 675728780, + -1, + 964290264, + 324419655, + 235479404, + -1, + 1784476, + 742328302, + -1, + 412233368, + 78512838, + 513063511, + -1, + -1, + 690585112, + 462928314, + 931387359, + 451655857, + -1, + 665354531, + 895114201, + 917605427, + 423815166, + 619025985, + 345657447, + -1, + 393859655, + -1, + 352737624, + -1, + -1, + 807905234, + 373677051, + 13021210, + -1, + 737795860, + 443673616, + 227135138, + 263319509, + 867589661, + 483853384, + -1, + -1, + 918837052, + 504792979, + 836342913, + 936545681, + 760447034, + 196725569, + -1, + 735957034, + 774117662, + 940291731, + 870605688, + 628060931, + -1, + -1, + -1, + 858258408, + 20102795, + -1, + 12738121, + 250924865, + -1, + 498168071, + 893440121, + 986430536, + -1, + 976392173, + -1, + 899956630, + 487253031, + 931834859, + -1, + 242599063, + -1, + 243934448, + 11648171, + 115172878, + 646966501, + 24089025, + 313356476, + 510466551, + 519862562, + 807688751, + -1, + 672838068, + 764682175, + 945877224, + 59099152, + -1, + 590504040, + 567217734, + -1, + 876680413, + 117367607, + -1, + 286732095, + -1, + 600449734, + 189386504, + 229025698, + 395378915, + 870288235, + 271009693, + 484464803, + 367907303, + 186463494, + 653519228, + 986039043, + 641880972, + 617895865, + 196922190, + 19277664, + -1, + 895765467, + -1, + 830264569, + 892813446, + 273637209, + 881791900, + 512632830, + 612777777, + 262590464, + 719483268, + 190248612, + 624833893, + 853210825, + -1, + 264568383, + 27751000, + 36978770, + 175561771, + 300930733, + 355863449, + 634459229, + 145016520, + 549137536, + 741897320, + 54351573, + -1, + 248074535, + 843195976, + -1, + 120521617, + 236067113, + 782270618, + 698763578, + 341066302, + -1, + 642121616, + 307443237, + 361290695, + 954844511, + -1, + -1, + 787699525, + 552052506, + 890131074, + 204215683, + 304539799, + 941404406, + 32582603, + 573613916, + 681338609, + 137400468, + 224407648, + 954291777, + 963201455, + -1, + -1, + 555297592, + 624058942, + 315690087, + 92343445, + 436600523, + -1, + 117085813, + 548521990, + -1, + 267833762, + 738180561, + 506843570, + 257807920, + -1, + 500239774, + 191327694, + 633279974, + 117826286, + 782916262, + 142962352, + 728950480, + 596790698, + 549122141, + 116246651, + 204730775, + -1, + 870167749, + 563257075, + 75184709, + 260184279, + 103982557, + 45141122, + 617614336, + 824542831, + 590181282, + -1, + 854225759, + 30912878, + 862201720, + -1, + 467967, + 688266731, + 913097278, + 421456346, + 333815797, + 612517674, + 735849728, + -1, + 359615401, + -1, + 570874195, + 21731321, + 751613390, + 570608155, + 72054628, + 630487613, + 733383363, + -1, + -1, + -1, + 599593273, + 59424142, + 322905850, + -1, + 903558034, + 996865232, + -1, + 459019184, + 998149751, + -1, + 493616905, + 603007550, + -1, + 740809804, + 510318262, + -1, + 455905160, + -1, + 12208056, + 474114688, + -1, + 70056402, + 32432767, + 466010006, + -1, + 218337262, + -1, + 678374276, + -1, + -1, + -1, + 462818328, + -1, + 642277094, + 811755830, + -1, + 427404601, + 590299424, + 360938723, + 145756871, + 259421158, + -1, + 873699086, + 694582750, + 595416904, + -1, + 560816493, + -1, + -1, + -1, + -1, + 770815874, + 485263008, + -1, + 633242683, + -1, + 393657950, + 217798006, + -1, + -1, + 718262819, + -1, + -1, + 19185695, + 789618828, + 206122704, + -1, + -1, + -1, + 204358419, + -1, + 578837310, + -1, + 62388507, + 242476124, + 425342891, + 951410377, + 778202780, + 552211428, + 705633109, + 716104726, + 465984698, + -1, + 953826939, + 871060626, + -1, + 153794766, + -1, + 963390516, + -1, + -1, + 553664014, + 799450528, + 352072756, + 476263014, + -1, + -1, + 786716472, + 401981924, + -1, + -1, + -1, + 428108776, + 867676141, + 423345014, + 976559894, + 123239846, + 120383085, + 685109848, + 524256191, + 510703926, + 768904802, + -1, + -1, + 65929210, + 766067840, + -1, + 671186841, + 770361382, + -1, + 324604675, + 59048593, + -1, + 435927989, + -1, + 892532268, + -1, + -1, + -1, + 954463023, + 122899450, + 639447331, + 291444179, + 201024195, + -1, + 967595397, + 243534584, + 130753102, + 416092048, + -1, + -1, + 177820071, + 592889029, + 515238116, + 930189741, + 834392158, + -1, + 491766017, + -1, + 231045340, + -1, + 679108050, + -1, + -1, + -1, + 237159981, + 852632654, + -1, + -1, + -1, + -1, + 786635279, + 243674895, + 915170029, + 6607156, + 541940986, + 921682742, + 532756963, + 535359626, + 621769189, + -1, + 199244554, + 835802246, + 865183493, + -1, + 769342289, + -1, + 74282665, + 626561583, + -1, + -1, + 904315416, + -1, + -1, + 314044569, + 220761327, + 34319101, + 887083465, + 857648866, + 444212497, + 321732187, + 123698237, + 675978856, + 474756820, + 691694790, + -1, + -1, + 9646414, + 382353707, + 194546354, + -1, + 520952019, + -1, + 917640713, + 616934858, + 391172624, + 187912155, + -1, + -1, + 422135594, + -1, + 578305180, + 571988422, + 867071492, + -1, + 224641045, + -1, + -1, + 934885992, + 574175314, + -1, + 696840122, + 814857707, + 741882971, + 615078436, + 900255860, + -1, + -1, + 139106419, + -1, + -1, + 230561815, + 785069489, + 746598213, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 123957898, + 650597220, + 463432202, + 160160044, + -1, + 354224652, + 491524502, + 965838827, + 827889023, + -1, + 119211929, + 426470362, + 153939667, + -1, + 435907329, + 328484113, + 400411534, + -1, + 498033191, + 360642948, + 640482793, + 331320224, + -1, + 151827858, + 389029094, + 689279828, + 909093437, + 207269147, + 571279604, + -1, + 199346776, + 218439750, + 88703750, + 591889133, + 956458156, + -1, + -1, + 142197270, + -1, + 431964180, + -1, + -1, + 57217798, + 329832298, + 883081772, + -1, + -1, + 272016681, + 30118594, + 193280352, + 978892812, + 478114288, + -1, + -1, + 64734054, + 906384885, + 366137524, + 194909769, + 88496499, + 851510189, + 10726600, + 418223473, + -1, + 338718309, + 81944915, + 725013266, + 657602227, + -1, + 964406751, + -1, + 261986663, + -1, + 14763235, + 689876063, + -1, + -1, + -1, + -1, + -1, + 200022005, + -1, + -1, + -1, + 538672893, + -1, + 969345951, + -1, + -1, + 300999374, + 546032989, + 823223586, + 414795042, + 327840073, + 35791008, + 899347836, + 495905414, + 928672999, + 855814545, + 203638146, + -1, + 456543479, + -1, + 918750390, + 626044605, + 524288501, + -1, + -1, + -1, + 154377395, + 649824612, + 188121751, + 411540763, + 358269396, + 801966272, + 954308321, + 62156837, + -1, + -1, + 196990885, + 850781921, + 691590386, + -1, + 547939056, + -1, + 603895534, + 836793408, + 127080683, + 345200162, + -1, + 157816330, + 999673045, + 412312724, + 704880117, + -1, + -1, + 13198998, + -1, + 42919021, + -1, + 335534563, + 19451887, + 525216844, + 235310821, + 600196134, + 580270867, + 75689523, + 926673254, + 403272492, + 393528723, + -1, + 44489338, + 746398700, + 29114273, + -1, + 587360241, + 872993836, + -1, + 23418726, + 784873638, + 711717504, + -1, + 674556388, + -1, + 423955689, + 837652903, + 776709861, + -1, + 111581846, + 143012813, + 987390201, + 482298708, + -1, + 553168810, + 184088269, + 692656116, + 598046011, + -1, + 965054633, + 50031512, + 824963352, + -1, + 116453829, + 418227618, + 837334919, + -1, + 800949784, + 654008758, + -1, + 935382296, + -1, + 975680211, + 264678313, + -1, + 989740445, + -1, + -1, + -1, + 733405396, + 84581019, + 872666100, + 323435532, + 754307973, + -1, + 762011341, + -1, + 227581849, + 952939472, + 930201255, + 626412400, + 876923985, + -1, + 232905232, + 463102302, + 474064630, + 123816868, + 490504599, + -1, + 71045242, + -1, + -1, + -1, + 409278509, + -1, + -1, + 471218305, + 215324170, + -1, + 999680221, + 589528181, + -1, + 485960044, + 118407682, + -1, + -1, + 918143993, + -1, + 403407764, + 412393844, + 378202718, + 868584650, + 874521357, + 981112045, + 666226054, + 464945901, + 459742098, + 811615720, + 737650260, + 146463799, + 901352058, + 223846937, + 442416018, + 614018043, + 866564738, + 817618711, + 859000906, + 227174248, + 286945143, + 988371107, + -1, + -1, + 101491944, + 120585097, + 878907240, + -1, + 192986356, + -1, + 769979700, + 9568611, + -1, + 132352078, + 361077110, + -1, + -1, + 354506168, + -1, + -1, + 591278981, + 773390231, + 219918442, + 813778940, + 772063002, + -1, + -1, + -1, + 921378791, + 724671044, + -1, + 987129750, + -1, + -1, + 66635536, + -1, + 72484466, + 933706496, + 621619105, + 959012610, + -1, + 490109314, + 27970811, + 86372489, + 507691147, + -1, + 763780560, + 464845189, + -1, + 122202159, + 607702412, + -1, + 478574444, + 69305140, + 323723330, + -1, + -1, + 562139457, + 409181141, + 671608429, + -1, + 879520563, + 717140627, + 231550881, + 746823696, + -1, + 910346070, + -1, + 958549841, + 930622109, + 569264584, + 859855617, + 653673758, + 237626675, + -1, + 725880834, + 590778796, + -1, + 445828445, + 761270837, + 466682195, + 399641845, + 432997026, + -1, + 728346587, + -1, + -1, + -1, + 609185267, + -1, + -1, + 465603928, + 80062091, + -1, + 518210993, + 868539153, + 765223964, + -1, + 553732772, + -1, + 788051906, + 337560963, + 937331666, + 67452004, + -1, + 489074556, + 452096714, + 738500820, + -1, + 12309081, + 898157895, + 352336790, + -1, + 654392311, + -1, + 182705100, + 206656305, + 975627967, + -1, + 648219500, + -1, + 392217474, + 636361464, + 572791541, + -1, + -1, + 794025565, + 613579437, + 942870469, + 264204768, + -1, + 417301079, + 374016862, + 956508195, + 177119644, + 399170016, + -1, + 147678476, + 664348841, + -1, + -1, + -1, + 101909949, + 95291160, + 327621887, + 132101154, + 319687917, + 483253535, + -1, + 715471569, + 160935716, + -1, + 721315757, + 478552761, + 904720028, + 463920145, + 514310278, + 861521105, + 520300923, + 516901919, + 873622708, + 70910733, + 876616311, + 299851066, + -1, + 685346520, + -1, + 850142692, + 827737522, + 454668876, + -1, + 939302521, + 222445810, + -1, + 406765936, + 281151270, + 947436430, + 985556496, + -1, + -1, + -1, + 401186495, + 378167447, + 769725116, + 572453898, + 331915977, + 481263047, + -1, + 501710303, + -1, + 924735028, + 35745255, + 756518320, + 587696712, + 746535586, + 857767865, + 420462562, + 373336571, + 396773601, + -1, + 378473926, + -1, + -1, + -1, + -1, + 904399660, + 720494777, + -1, + 650064199, + -1, + 545036262, + -1, + 764095665, + 559434933, + 810717137, + 825634754, + 860448876, + 351447106, + 877904439, + 588609475, + -1, + 296598826, + -1, + 964769327, + 360616430, + 685634875, + 773992575, + 994162552, + 665581308, + 534882596, + 887997708, + 473022780, + -1, + 839695217, + -1, + 976585559, + 553426611, + -1, + 762490005, + 108322250, + 121357578, + 27561638, + 435166803, + 492580040, + 467801598, + 711355300, + 497664875, + 656194958, + 298072063, + 778290340, + 93590759, + -1, + -1, + 955640051, + 64878846, + 988152146, + -1, + 576412902, + -1, + 6419376, + 729240623, + 910315572, + 893550062, + 989261129, + 870708547, + 18883871, + 228335060, + 543106965, + 280905477, + -1, + 148190477, + 247992103, + -1, + 7973057, + 109648888, + -1, + 195379448, + 980370060, + 871984001, + -1, + 457588525, + -1, + 725899479, + -1, + 693555421, + 460290463, + 679683371, + 292437801, + 509292346, + 348414561, + 438059233, + 257750717, + 487502636, + 305955960, + -1, + 687170316, + -1, + -1, + -1, + -1, + -1, + 321294370, + -1, + 716554929, + 358181798, + 871622123, + 722426901, + 273071605, + -1, + -1, + -1, + 412983763, + 497249691, + 700778134, + 111853648, + -1, + -1, + -1, + 407983983, + -1, + -1, + -1, + -1, + -1, + 156915250, + 183115000, + -1, + -1, + 415437979, + 357123276, + -1, + 673934857, + 306648718, + -1, + 518847548, + 478607805, + 520369780, + -1, + -1, + 361813205, + 738965763, + 590125961, + -1, + 536844787, + -1, + 251808669, + 989706806, + 772518888, + -1, + 717581122, + 416536561, + 791232082, + 330141587, + 223118334, + 816083202, + 404429781, + -1, + 185598151, + 165497002, + 595473231, + 36486788, + 546066938, + 834348967, + 701215184, + -1, + 790034384, + 179217095, + 90885493, + 870352537, + 84767143, + -1, + 292923014, + 50886699, + 585404261, + -1, + 49249867, + 652504820, + -1, + 382439727, + 47228332, + -1, + 839736194, + 820878412, + 501143950, + 155144742, + -1, + 959847237, + 701800301, + 756962047, + 279129785, + 703241672, + 947817946, + -1, + 768837880, + 331367148, + 533900692, + -1, + 535767785, + -1, + -1, + 102948347, + -1, + -1, + 112905030, + -1, + 824987221, + -1, + 423343289, + 206419382, + 105409148, + 536834937, + 152710369, + 120485758, + 516454231, + -1, + 496695885, + 461260457, + -1, + 477380148, + 375898504, + 316772742, + 146278920, + 631797797, + 882788028, + 302385286, + -1, + 403365036, + 304137356, + -1, + -1, + 217452384, + 241287008, + 629479355, + 805060662, + -1, + 138396642, + -1, + -1, + -1, + 510743292, + 697064803, + -1, + 638759591, + -1, + 57453394, + -1, + 570377916, + -1, + 7203086, + 810349766, + 239887288, + -1, + 12573561, + 715596315, + 438215715, + 730751753, + 942049176, + -1, + -1, + 880800782, + 388506764, + 175492688, + 503217276, + 479666205, + 217882004, + 59170758, + 427749618, + -1, + -1, + 907151038, + 138778703, + 58036980, + 693714790, + 111285897, + 876106109, + -1, + 36985812, + 416131434, + -1, + 367135815, + 280127538, + -1, + -1, + -1, + -1, + 911905949, + 103579261, + -1, + 483817409, + 897116362, + 623784543, + 100901047, + 892858432, + 247051543, + 245972416, + -1, + 378699817, + 241936491, + -1, + 216565983, + 69527525, + -1, + -1, + 463290593, + 946798413, + 199146813, + 147801371, + 593849285, + 19841837, + 421799172, + 355784774, + 25992347, + -1, + 430708137, + 419988234, + 947083332, + 516468122, + 239581032, + 279373740, + -1, + 830169997, + 25023130, + -1, + 586866941, + 524439814, + 675986857, + 886828641, + -1, + 103403088, + -1, + 165215446, + -1, + 503388842, + -1, + -1, + 311795120, + 955525257, + -1, + 819826773, + 866984767, + 806388190, + 976656609, + 382016340, + 472957867, + -1, + 518785714, + 142034072, + -1, + 967159846, + 578796391, + 955591196, + -1, + 756507596, + 99226084, + 37193297, + 395800101, + 945504896, + -1, + -1, + 420977604, + 838486645, + 911735197, + 817722298, + 502163832, + -1, + -1, + 133821070, + 392146842, + 358479093, + 273414586, + -1, + 435656818, + 173360280, + -1, + -1, + 756185281, + 908230259, + 512959472, + -1, + 691290409, + 313228115, + 169288379, + 747718589, + 704875622, + 443749996, + -1, + -1, + 618261548, + 242038796, + 753089052, + 475580104, + 534088250, + 741334062, + 385324056, + 668132690, + 601377163, + 817946690, + 366510362, + 97659197, + 586983877, + -1, + -1, + 966594914, + 407446707, + 199100969, + 379382199, + -1, + 849847973, + 580799177, + 515668576, + 656800757, + -1, + -1, + 96939093, + -1, + -1, + 985198169, + 373886599, + 492486718, + -1, + 962186495, + -1, + 894948973, + 268947597, + -1, + -1, + 807923615, + -1, + -1, + 946983227, + 291886892, + 565592135, + 693146403, + -1, + 447919382, + 104979784, + 663234335, + 58422019, + 891096483, + -1, + 105190853, + 264263733, + 5511429, + -1, + -1, + -1, + 977530248, + 417153751, + 541409441, + -1, + 405928021, + -1, + -1, + -1, + 266083273, + -1, + 702335707, + 738688943, + 391489863, + 468233308, + 663438993, + 844679517, + -1, + 385715773, + -1, + 429655220, + 263756125, + 285879196, + 517267978, + 512170206, + 6306512, + 14317421, + 511839082, + -1, + 663839612, + 32011319, + 473981993, + 678698109, + 883172743, + 898562464, + -1, + 918233677, + 946429945, + 467462788, + 61079264, + 346584252, + 733609761, + 106474865, + -1, + -1, + 353573710, + 130127415, + 225987823, + -1, + 738224742, + 916523813, + 488667757, + 783103603, + 297420867, + -1, + -1, + -1, + 432484393, + 112352938, + 394529392, + 12949020, + -1, + 203105296, + 18037863, + 587247822, + -1, + 396757808, + 397955608, + -1, + -1, + 39021004, + 961369437, + 46074808, + -1, + -1, + 40833784, + -1, + 288579550, + -1, + 652191442, + 917928091, + -1, + 912395486, + -1, + 166651181, + -1, + -1, + 330281093, + 16174310, + -1, + -1, + 953651197, + 530642497, + -1, + -1, + -1, + -1, + -1, + -1, + 395841808, + 183187555, + 413553502, + -1, + 555046225, + 351636826, + 545601830, + 915200616, + -1, + -1, + 928679212, + 388455338, + 767523653, + -1, + -1, + -1, + 133826868, + 765201868, + -1, + 360069314, + 981908025, + 77174749, + 700551787, + 206916204, + 880706338, + 796880576, + 697434270, + -1, + 321064291, + -1, + -1, + 693480617, + 401133184, + -1, + 269970289, + 704370914, + 167417123, + 880132514, + -1, + -1, + 276160655, + 76522121, + 965352653, + 79412867, + 1307137, + 943145225, + 261443624, + 832102965, + -1, + 313528527, + 123011040, + 796986682, + 669434573, + -1, + 141917246, + 760083817, + -1, + 466241611, + 91004706, + 804569880, + 286687429, + -1, + -1, + 789191400, + 982225627, + 961348579, + 996749196, + 664571377, + 660658146, + 885359543, + -1, + 162720536, + 788515117, + 310670292, + 898329892, + 265133961, + 422084514, + 530139003, + 424997620, + 48968873, + -1, + 124246867, + 653143129, + 425387455, + -1, + -1, + 410516550, + 42207289, + 722406326, + 738414131, + 30541526, + -1, + -1, + -1, + 169350897, + 476783992, + 269650248, + -1, + -1, + 798949531, + -1, + 230635063, + 81132108, + -1, + 533696463, + 469034557, + 374019910, + -1, + 377014406, + -1, + -1, + 711832596, + -1, + 765902508, + 824634645, + 741234112, + 205441380, + -1, + 191120956, + 516626303, + 947344986, + 176096501, + 351127808, + 228067385, + 594653149, + 797535054, + -1, + 911076089, + 844344475, + 618982205, + 210198323, + 19744075, + -1, + -1, + 593974225, + 189075893, + 940579189, + 857225314, + 374825920, + 909450509, + 592288322, + 325885162, + 663237702, + 466519321, + -1, + -1, + -1, + 192978760, + 85615854, + 979219066, + 862796067, + 338783995, + 426302454, + 481020508, + -1, + 666699756, + 182818925, + 495974495, + 913859577, + -1, + -1, + 642121607, + 210238744, + 334717984, + -1, + 261069561, + 960052955, + -1, + -1, + 215828212, + 954017656, + -1, + 567144038, + 394916446, + -1, + -1, + 36439404, + -1, + 262674313, + -1, + 138955565, + 357616996, + 862214578, + 996090222, + 808446471, + 126961796, + 530608374, + 289961642, + 291668772, + 993956090, + -1, + 669928617, + 192405182, + 537486774, + -1, + 597726707, + -1, + -1, + 144446723, + -1, + 690118221, + 599923936, + 547507916, + 843142591, + 232738467, + 634883743, + 898162147, + 27499907, + 213980430, + 880345154, + 340300043, + 47589508, + 232930854, + -1, + -1, + 328702928, + 965431301, + 194517877, + -1, + -1, + 155094257, + -1, + 877739766, + 686727772, + 629081157, + 594765149, + 260849312, + 634062321, + -1, + 674020692, + 217215001, + -1, + 417471647, + -1, + -1, + 196396566, + 959771599, + 179029115, + -1, + 509525813, + 215645359, + 317290711, + 433212161, + 375193862, + 267145724, + 142115322, + 318310056, + 633747242, + 477779596, + 98385895, + -1, + 114166837, + -1, + 225862778, + -1, + 838095462, + 336092823, + 51848394, + -1, + 495622390, + 83153747, + -1, + 224623414, + 977465749, + 809993383, + -1, + 730270408, + 415821902, + 879930611, + 99142352, + 436799463, + 49727021, + -1, + -1, + 814290158, + 883337571, + 293692502, + -1, + -1, + 646183297, + -1, + 661264790, + 47513928, + -1, + 314488127, + -1, + -1, + 555344314, + 390746038, + 369294681, + 360051511, + 917851793, + 152195878, + 335307671, + -1, + 917989498, + 681589744, + -1, + 490225181, + 218121142, + 689449245, + -1, + 178807411, + -1, + 683282914, + 422423326, + -1, + 379460096, + 206842901, + -1, + -1, + 582968160, + -1, + 815429134, + 687644594, + 316509210, + 336304837, + 254073214, + -1, + 667768656, + 811581336, + 578017387, + 445021689, + 71967153, + -1, + -1, + -1, + 262627228, + 826137480, + 593889361, + 859776711, + 972963194, + 534107931, + 756233806, + 896903517, + 465672094, + -1, + 997517163, + 98511477, + 461841047, + 82093963, + 732422510, + -1, + 923762413, + 639495887, + 811198539, + -1, + 986361878, + 590510233, + 470304636, + 731313055, + -1, + 839179455, + 686461616, + 957193519, + -1, + 572863605, + 736863581, + 125106243, + -1, + -1, + -1, + -1, + 168298999, + 980666614, + 677065999, + -1, + 947952598, + 222820166, + -1, + -1, + -1, + 725032962, + 662098785, + 215978713, + 448109612, + -1, + -1, + 666315605, + 973689819, + 671145723, + 566711796, + 145453502, + -1, + 576437891, + -1, + 664472332, + 650228957, + 397973849, + -1, + 943851324, + 760372554, + -1, + 182866532, + 425176486, + 522285784, + 92561577, + 620044518, + 130604050, + 170104418, + 626697892, + 741641176, + -1, + 886932749, + 209579601, + 375973983, + 963786957, + -1, + 270217913, + 209433540, + -1, + 712452635, + 426133730, + 65557744, + -1, + 684214049, + 713031905, + 434858780, + 536124167, + 24638465, + 871866261, + 399665078, + 148481434, + 950332364, + 899006555, + 849882124, + -1, + 976407901, + 286365138, + 363600036, + 772468551, + -1, + 128651194, + 80534683, + 910981900, + 744762154, + -1, + -1, + 136468132, + 165377894, + 898295881, + 34140186, + 235784549, + 566734635, + 526399010, + 941409488, + 634917616, + 686768871, + 502541291, + 634374361, + 176117443, + 839463628, + -1, + -1, + 807788412, + 255634969, + 109463109, + 283266327, + 612690362, + 647322881, + 652648736, + -1, + -1, + 552704670, + -1, + -1, + -1, + 165243936, + -1, + 776944941, + 438948950, + -1, + -1, + 703089191, + 903599073, + 916757595, + 220062314, + 383076305, + 231121523, + 534995270, + 636185707, + 2244581, + -1, + 960840812, + 22590748, + -1, + 914176906, + 566885167, + 198423333, + 271995537, + 726634155, + -1, + -1, + -1, + 285348806, + 100836287, + -1, + 867714521, + 441208800, + -1, + 123270330, + 28003344, + 273379263, + 593872200, + 152697303, + 78700973, + -1, + 199718697, + 716005378, + 299224432, + -1, + -1, + 932977076, + 667052412, + 682089093, + -1, + 430532768, + -1, + -1, + -1, + -1, + -1, + 53363528, + -1, + -1, + 671778993, + 69623504, + 58348532, + 445675004, + 34337138, + 331590277, + 243682968, + 691425462, + 199173951, + 59486029, + 7094846, + 259124742, + 546949870, + 683475603, + 808695402, + -1, + 762908293, + 829471256, + -1, + -1, + -1, + 25947504, + 105398093, + 578845952, + -1, + 610441997, + 250037553, + 864117310, + -1, + -1, + -1, + -1, + 848209169, + 192270540, + 804323748, + 747493394, + 420197415, + 404882330, + -1, + 290560186, + 423531970, + -1, + -1, + -1, + -1, + 198363349, + 758763201, + 9548546, + 820679184, + -1, + -1, + 375793589, + -1, + 714875144, + 555649049, + 692049149, + 416572103, + 661293673, + -1, + 148190838, + 497910429, + -1, + 634982592, + -1, + 281670286, + 50966360, + -1, + -1, + -1, + 717602173, + 781675794, + -1, + 963782659, + 191894785, + 381257440, + 839384857, + 944108261, + 868153372, + 105808137, + 404458233, + -1, + 853429326, + 554109250, + 874447778, + 526342776, + -1, + 186459699, + 539190876, + -1, + 99741684, + 572980372, + -1, + 601383623, + -1, + -1, + -1, + 127345081, + 560876239, + 835556133, + 752033217, + 664083931, + 301203387, + 975875732, + 218613209, + 522924220, + 688350489, + -1, + 380331896, + -1, + 653384481, + 919024268, + 884957165, + 645290046, + 297716619, + -1, + 84246401, + 3750316, + 29043057, + -1, + 567690188, + 124393983, + -1, + -1, + 510595662, + 985984310, + 243300831, + 489074788, + 826904489, + 580034978, + 168790757, + 82107889, + 826203269, + -1, + 280388470, + -1, + 862506256, + 701645837, + -1, + -1, + -1, + 746034193, + 746929920, + 702858423, + 898360451, + -1, + -1, + -1, + 965542784, + 748758871, + -1, + 166854415, + 947360113, + 630425383, + -1, + -1, + 119090273, + 435086396, + 180832625, + 911937947, + 709837994, + 521943417, + 656756932, + -1, + -1, + 631083539, + 204945659, + 724670218, + 818732809, + -1, + 551244721, + 122607992, + 4495176, + 711640979, + 662381820, + 34243730, + -1, + 514603791, + 942463263, + -1, + 696635118, + -1, + 246093796, + 424287916, + 950413637, + -1, + -1, + 729259405, + 159788014, + 604156628, + 652774400, + -1, + -1, + 75092133, + -1, + 717147985, + 770141253, + 836257809, + -1, + -1, + 830609585, + -1, + 61452187, + 197673711, + 399357366, + -1, + -1, + -1, + 651571726, + 374813295, + 105559605, + -1, + 423444931, + 103566300, + 427077445, + -1, + -1, + -1, + 444437990, + 991864282, + 537966297, + -1, + -1, + 10037644, + 563507084, + 773316971, + 649078556, + 847211678, + -1, + 273105568, + -1, + 95564884, + 212458102, + -1, + 854195190, + -1, + 409965897, + 324838808, + -1, + -1, + 301348605, + 494490640, + -1, + -1, + 998485831, + 148644562, + -1, + -1, + -1, + 67624879, + 795362692, + 849705392, + 321185764, + 790841412, + -1, + -1, + -1, + 540159036, + 54832833, + 245358571, + -1, + 114084021, + -1, + 460442674, + 587502616, + 608395849, + -1, + 435639667, + 294144257, + -1, + -1, + -1, + -1, + -1, + 840944685, + 791448812, + -1, + 339836479, + 925187647, + -1, + 136717254, + 498241061, + -1, + 943000481, + 432114110, + 292349756, + 768216512, + -1, + -1, + 47727573, + 364281135, + 781504815, + 325967895, + 878920071, + 460010958, + -1, + 361465557, + 581214959, + 392726770, + 724028226, + 85812807, + 395507465, + 731739707, + 431977048, + -1, + 309095595, + 652092052, + 936929465, + 422740696, + -1, + 299149601, + 862805652, + 739771879, + -1, + 93859415, + 319122855, + 184547111, + -1, + 893356196, + 628168259, + 253151196, + -1, + 446985311, + -1, + 27650416, + -1, + 392398004, + 602662593, + 23113549, + 939259453, + -1, + 329012486, + 104950352, + 514324688, + -1, + 975931756, + -1, + 370112601, + 126980297, + 397417257, + 146390150, + 525764434, + 63733821, + 577340820, + 431777988, + -1, + 587194581, + 177354322, + 999640924, + 509918960, + 550197013, + -1, + -1, + 574351736, + 729024167, + -1, + 821244351, + 463983198, + 904301415, + 37467533, + 941886472, + -1, + -1, + 526399126, + 39819914, + 54165981, + 567792501, + 339810363, + -1, + 752364658, + -1, + 253911562, + 188506571, + 879024997, + 973934110, + 489696096, + -1, + -1, + 562689281, + 251585692, + 668929758, + -1, + 990930117, + -1, + 958492575, + 748788425, + 18876682, + -1, + 630618128, + 954590172, + 738142451, + 265453959, + 936962623, + 294244060, + -1, + 202421652, + 129132480, + -1, + 290962542, + -1, + 883036535, + 884371447, + -1, + 22782482, + 223150462, + 109196022, + 453441302, + 556325625, + 387523268, + 382396031, + 585204177, + -1, + 702202744, + 457892188, + 128930159, + -1, + -1, + 84705796, + 871240931, + 331445404, + 426495805, + -1, + 64585976, + 594391848, + 979265813, + -1, + 489998206, + 917869914, + 640341312, + 873570379, + 225099339, + -1, + 486153896, + 723097246, + -1, + -1, + 574442466, + 182220602, + -1, + 514609667, + 700081904, + -1, + 11640580, + 972493022, + 715806971, + 911162859, + 674866768, + 461041863, + 637355684, + 457025181, + 912748560, + 403498337, + 717193386, + 690056000, + 309567821, + 445007106, + 955318878, + -1, + -1, + 169765573, + 358903675, + 265250591, + -1, + -1, + 666177488, + -1, + 727154822, + 442649465, + 895650199, + 901808600, + 51119527, + 981293401, + 933416472, + -1, + 10940312, + 481027443, + 220319305, + 267679653, + 453658571, + -1, + 767303222, + 434341855, + 447204833, + -1, + 768272251, + 779210359, + -1, + 448758398, + -1, + 63850284, + 464301010, + -1, + 16358829, + 660660158, + 104997278, + 39002459, + 924674886, + 463821282, + 170780111, + 925401596, + 194812448, + 283784569, + 228008115, + 216979733, + -1, + -1, + 714637252, + 988963609, + -1, + 954024545, + 315942169, + 290471128, + 164744144, + -1, + 270884654, + 515023525, + 764025183, + 500815585, + 91304649, + -1, + -1, + 964267544, + -1, + 894705457, + -1, + 611134897, + 977881630, + -1, + 372269268, + -1, + -1, + 532667495, + -1, + 826728958, + 892822758, + 610293887, + 625848664, + 491408455, + 301563136, + -1, + -1, + 744780257, + -1, + -1, + -1, + 310471869, + 712947766, + -1, + -1, + 538980487, + 971189568, + 791171532, + -1, + 315782337, + 376650693, + -1, + 865412458, + -1, + -1, + 126745600, + 546817451, + 667838566, + -1, + -1, + 640261027, + -1, + 45601632, + -1, + -1, + 260860688, + -1, + 993509732, + -1, + -1, + -1, + 598351280, + 852104514, + 178889881, + 799580470, + -1, + 156090897, + 92853858, + 272086256, + 798229877, + 820728308, + 643101122, + 426158251, + 642054223, + 440310359, + 935218362, + 736369785, + 890827877, + -1, + 9220539, + -1, + 202104, + -1, + -1, + 933791973, + -1, + -1, + 771591051, + 105744908, + 317393354, + 954653387, + 417192312, + 631288592, + 221325764, + 634432849, + 12413742, + 369122900, + 182220466, + 194962671, + 197634924, + -1, + -1, + 755315653, + 45189345, + 135821405, + -1, + 430025314, + -1, + 904384745, + -1, + 666954051, + -1, + -1, + 893917053, + -1, + -1, + 836579680, + 696153016, + 433990229, + 254421378, + -1, + -1, + 210676147, + 835671050, + 759216313, + 330472926, + -1, + 906328285, + 468326379, + 955424827, + 386081197, + 993422040, + -1, + -1, + -1, + 987888708, + -1, + -1, + 958031946, + 663154408, + 411206007, + 65985192, + -1, + 152333629, + 114127848, + 12172128, + 473984777, + 405287874, + 921488062, + 533381405, + 81582402, + 194735190, + 549864211, + 252533319, + 163509102, + 96148337, + -1, + -1, + 490337025, + 607530115, + 803896489, + -1, + 417100150, + 828320722, + -1, + 525797329, + 155231986, + -1, + 212205528, + -1, + -1, + -1, + 3613279, + 295270615, + 849945930, + 388257053, + -1, + 822675587, + 94363835, + 700697379, + 11218636, + 995627742, + 572721624, + -1, + -1, + -1, + 766209973, + -1, + 917942791, + -1, + 678840618, + -1, + 167116694, + 957724585, + 835799607, + 259473255, + 536833646, + 932688907, + -1, + 672699232, + -1, + 154707272, + -1, + 596022721, + 776677339, + 627146354, + -1, + 986674991, + 858620057, + 668655576, + 406736724, + 387335234, + -1, + 901134417, + -1, + -1, + 646780495, + -1, + 633582143, + -1, + 715403644, + 555756067, + 192464599, + -1, + 48748863, + -1, + 872036381, + -1, + 300815528, + -1, + -1, + 968689687, + 721219727, + -1, + 718686822, + 371377480, + 732854419, + 974389327, + 232951148, + -1, + 654185763, + -1, + 355154409, + 48840542, + 533408171, + 913841960, + -1, + 316861944, + 922338620, + 838573206, + 177703448, + 510263093, + -1, + 717195832, + 681979975, + 313142627, + 960566466, + 306519201, + 792645959, + -1, + 134264271, + -1, + 214866694, + 293307963, + 985491846, + -1, + -1, + -1, + 967495811, + 418213153, + 205297924, + -1, + -1, + 62371671, + 779131266, + 879617752, + 868788116, + -1, + 194421000, + 449164746, + -1, + 915616961, + -1, + 760963292, + 668745617, + -1, + -1, + 586146810, + 303500150, + 53615997, + 254815908, + -1, + -1, + -1, + 662099175, + 7397962, + -1, + 234188150, + 551527487, + 506245552, + 403862635, + -1, + 686271985, + 790306857, + 185327730, + 904656673, + 731987070, + 386581118, + -1, + 219102321, + -1, + 477690565, + 141164191, + -1, + -1, + 450217995, + 387346830, + 646783087, + 890336274, + -1, + -1, + 908489536, + 339460618, + 836777891, + 87687570, + -1, + -1, + 133120592, + 503789942, + -1, + 746596025, + -1, + 402428135, + -1, + 160707943, + 57059170, + 295872696, + 383883568, + 257079299, + -1, + 664213525, + 825520539, + 616128782, + 921126058, + -1, + 144766247, + 989879336, + -1, + 709282652, + -1, + 510143592, + 301424760, + 892847044, + 902460192, + 462531465, + 434856981, + 248454419, + 842944653, + 989361569, + 967614111, + -1, + -1, + -1, + 240515444, + 320131593, + -1, + 833093834, + 355522115, + 426064531, + -1, + -1, + 709376728, + -1, + -1, + -1, + -1, + 291915523, + 522844797, + -1, + 221907021, + 401433332, + -1, + 982964523, + -1, + 791530574, + -1, + 563720627, + -1, + 353226794, + 971922013, + 717153482, + 412916021, + 222265317, + 830022031, + 762609915, + -1, + -1, + 13911988, + 244169328, + 542309690, + 797011306, + -1, + -1, + 864589212, + 290322196, + -1, + 206637556, + -1, + 314453302, + -1, + -1, + -1, + -1, + 249558220, + 759996379, + 707376072, + -1, + 976240347, + 901725565, + 644068285, + 818137622, + -1, + 646915646, + 801509160, + -1, + 288192744, + 658069868, + 337478297, + 524836552, + -1, + -1, + 861801101, + 242125830, + 771318901, + -1, + -1, + 722884243, + 507199210, + 368346273, + -1, + 873981061, + 423397008, + 802832223, + 364125002, + -1, + -1, + 671009868, + -1, + -1, + 700464560, + -1, + 771173669, + 566736907, + 926742809, + 274756189, + -1, + 102314358, + 937415422, + -1, + -1, + 469588642, + 513755876, + -1, + 395393167, + 945104976, + -1, + 694355380, + -1, + -1, + 641613883, + 723538842, + -1, + -1, + 812628161, + -1, + -1, + 458179337, + 375260016, + -1, + -1, + -1, + 611838670, + 939332708, + 727688052, + 26489326, + 397687371, + 3104158, + 756580619, + 713557540, + 289783614, + 967522712, + 475510910, + 755719768, + 928409366, + 102710432, + -1, + -1, + 175453930, + 547921471, + -1, + 207999390, + 718071151, + -1, + 68655552, + 927129216, + 290304194, + 530854282, + 291318020, + 367910974, + 447217475, + -1, + -1, + -1, + 919104463, + 45708963, + 320091584, + 992289093, + -1, + 819926689, + 933877619, + 65835319, + 233006104, + 975691839, + 793248598, + -1, + -1, + -1, + -1, + 966586758, + 433897367, + 580471649, + 421710614, + 833540556, + -1, + 407314728, + -1, + 646905209, + 81167006, + 736471849, + 579801254, + 362247035, + -1, + 961759293, + 698788214, + -1, + 866179220, + 779723442, + 291341738, + -1, + 724624638, + 825992217, + 706022324, + 245242471, + 234325895, + 469734905, + -1, + 82094602, + 286595418, + 412222795, + 860316106, + -1, + 957536382, + 377157358, + 941251776, + -1, + 963649387, + 923546444, + 23636053, + 550628982, + 748320762, + -1, + 672503770, + 752149420, + -1, + 545736967, + 872355339, + 628282881, + 263737766, + -1, + 92100523, + 421432335, + -1, + 575340834, + -1, + 537934838, + 776470500, + 245482480, + 346237578, + -1, + 610350466, + 565964304, + -1, + -1, + 315143985, + 898872333, + -1, + 466774476, + 661640770, + 231462370, + 83156846, + 857910487, + 419863510, + 836644760, + -1, + 429057617, + -1, + 8368599, + -1, + -1, + 845466352, + 653709345, + -1, + -1, + -1, + 723196243, + -1, + 622275782, + 8043904, + -1, + 493163844, + 357617341, + 78577187, + -1, + 392497290, + 26216002, + -1, + 157363969, + 286627267, + -1, + 499165411, + -1, + 160761808, + 789264381, + 230830138, + 727585127, + 191558103, + 126962930, + 10091142, + 324666407, + 94910257, + -1, + 858629931, + 817376920, + 372626515, + 788148817, + 130632484, + 2303096, + -1, + -1, + 842718160, + 13566181, + 884753537, + -1, + 761221789, + -1, + -1, + -1, + 645137559, + 119256295, + 966876032, + 23915256, + -1, + 218738789, + 583494193, + -1, + 657620403, + 899659216, + 648676489, + 829472460, + 483144695, + 627468271, + 740517553, + 571005060, + 16353702, + -1, + 26754349, + 541949381, + -1, + -1, + 806743384, + 646508836, + 145782414, + 245998199, + 597445622, + 373790579, + 456505143, + 928024058, + -1, + 735081920, + 638368417, + -1, + 132735068, + -1, + 828618473, + 197658282, + 926032271, + 647724243, + 911280890, + -1, + -1, + -1, + 182569568, + -1, + 768207490, + 432563052, + -1, + 22436909, + 672785436, + 974574759, + 463980519, + 383908996, + 785677393, + 604272248, + 33840024, + 388414279, + 87452592, + 654191873, + 48081016, + 629975036, + 67518268, + 211339975, + 290003548, + 646232166, + 68701888, + 262730369, + 906167690, + 971785990, + 733819757, + -1, + 610417370, + -1, + 790424568, + 728958997, + -1, + -1, + 533479154, + -1, + 803729533, + 570143433, + 150074322, + 370226789, + -1, + 16853221, + 560782853, + -1, + 965352893, + 303295307, + 188369708, + -1, + 663531055, + 176945300, + 761571263, + 595837745, + -1, + 15565963, + 80785373, + 491892326, + -1, + -1, + 481217141, + 361446952, + 966329102, + 687548098, + 96191346, + 761949718, + 965321742, + 716333042, + 763282826, + 48572203, + 828476157, + -1, + 838073448, + 361594185, + 634051594, + 403378653, + 806629505, + 926996826, + 184556704, + -1, + 476144083, + 107801828, + 136503479, + 157498654, + -1, + 786752994, + 770631731, + 453281935, + 459701228, + 791843450, + -1, + 519665354, + -1, + -1, + 135822068, + -1, + -1, + 210121099, + 44353014, + 698222576, + 31697709, + 887960839, + 469374430, + 962529515, + 677548050, + 589608628, + 274040502, + -1, + -1, + -1, + 7737655, + 857979054, + 517953589, + 372873770, + 382508476, + 317803858, + 756737095, + 372614462, + 70936948, + -1, + 241221981, + 284875483, + -1, + -1, + -1, + 7682237, + 942537291, + 130604034, + 165244143, + -1, + 575951025, + 934577950, + 242895857, + 471271771, + -1, + -1, + 507098274, + -1, + 712081847, + -1, + 175057816, + -1, + -1, + 708459835, + 369668678, + -1, + 375679863, + 660270151, + 215207529, + 890760152, + 20114305, + 412143667, + 43305339, + 892827012, + 566922682, + 305610717, + -1, + -1, + 891023896, + 862797396, + -1, + -1, + 572162253, + 406391766, + -1, + -1, + 481109402, + 897569324, + 952064535, + 271496954, + -1, + -1, + 768977622, + -1, + 76522848, + 105756356, + 325889517, + -1, + 951548152, + 252077881, + 694779570, + 29499915, + 724979283, + 53266049, + -1, + 160516965, + 701755687, + 949217962, + -1, + -1, + 856303645, + 538284576, + 984243526, + 67456864, + -1, + 907099486, + -1, + 11485843, + 127544781, + -1, + 202140713, + 646335160, + -1, + 528192361, + -1, + 130373196, + -1, + 765841772, + 996124971, + -1, + -1, + 86890264, + 88209287, + -1, + 267052454, + 559251896, + 206757180, + 412270331, + 429991311, + 164131338, + 309689705, + 710529087, + 578541828, + 769678630, + 3447198, + 838415891, + 612381859, + -1, + 198822311, + 286040912, + 538257861, + 864486496, + 487577689, + 356678418, + 947806531, + -1, + 711961474, + 216062114, + 102480222, + 116561805, + 776377536, + 495654159, + 489411713, + 254339072, + 944064582, + -1, + 214007201, + 401594134, + 911340763, + 322740394, + 208185561, + 249315381, + -1, + 52826892, + 235967347, + 433308251, + -1, + 963415598, + 560469221, + 178820601, + 27133245, + -1, + 142062300, + 516523877, + -1, + -1, + 885525456, + 876255130, + -1, + 562142151, + -1, + -1, + 909412573, + 375888197, + -1, + -1, + 634249536, + 980336805, + 847954308, + 508627969, + 828013015, + 97961490, + -1, + -1, + 111319898, + 880387016, + 604216725, + 401773449, + 559919179, + 362902361, + -1, + 142392541, + 505542923, + 665702081, + 539617036, + 747203199, + -1, + 88186495, + 434359393, + 21471921, + -1, + 793794376, + 757377661, + 732523849, + 233757181, + -1, + 763797431, + 768885852, + -1, + -1, + 943682793, + 620009646, + 373988660, + 477201320, + -1, + 522126953, + 533667039, + -1, + 92782399, + 273563120, + -1, + 27346286, + -1, + 418700785, + -1, + -1, + 337197694, + 2527165, + -1, + 517832767, + 184117064, + 831237797, + 152665286, + 277169465, + 914210560, + 770928287, + 495584632, + 615564194, + 713473235, + 82608523, + 427583904, + 647341259, + 636143453, + 351140117, + 643279525, + 403665686, + 46634091, + 37899800, + 631280255, + 356143396, + 664979271, + 487488100, + 846900301, + -1, + 869005454, + 824842969, + 941319742, + 28417813, + 209198853, + 985650154, + -1, + -1, + 289514591, + -1, + -1, + -1, + 358352201, + 675904984, + -1, + 436282943, + -1, + 433355502, + 264758278, + -1, + 421179665, + -1, + 97176292, + 560626627, + 145777788, + 409502533, + 61480627, + -1, + -1, + 794170068, + 765870381, + 106174024, + 863131434, + 231566820, + 853586099, + 532872757, + -1, + 488657225, + 249184602, + 763751090, + 616630834, + 947507086, + -1, + 874828757, + 953328033, + 971895980, + 429111042, + -1, + 280751440, + 608631975, + 897119391, + 699789621, + 438121270, + -1, + -1, + 834467354, + 965441225, + -1, + 253942127, + -1, + 329467200, + 925126709, + -1, + 662918133, + 358975085, + -1, + 504488406, + 715067263, + -1, + 883715991, + 947765167, + -1, + -1, + 893761607, + 721952157, + -1, + -1, + 911594439, + 339969128, + 305358831, + -1, + 201007535, + 86910707, + 76366790, + -1, + 589166206, + -1, + 253578700, + -1, + -1, + 128544116, + 756516939, + -1, + 794735699, + 232643055, + 504461863, + 225564910, + 244158536, + -1, + -1, + -1, + -1, + -1, + 69209812, + 456931112, + -1, + 85447733, + 480967923, + 238108452, + 602113413, + 672933398, + 501014651, + -1, + 687792994, + -1, + 48348844, + 896390449, + -1, + -1, + 388750433, + 621933791, + 609962308, + -1, + 518352536, + 962890453, + -1, + -1, + 207471998, + 535270204, + 933362454, + 162103953, + 623457050, + 537019962, + 474480540, + -1, + -1, + 916192725, + 465719047, + -1, + 510002512, + 52285681, + 541436811, + 631845035, + 711254808, + 617984703, + -1, + 851322680, + 879789608, + 600999765, + 245020123, + 764349899, + -1, + -1, + -1, + 796149979, + 426395670, + 151795726, + 280198738, + 686843698, + 42306913, + 666814747, + 263948023, + 9519391, + -1, + 490802646, + 136701699, + 142796649, + 879960022, + 986309289, + 377005096, + -1, + -1, + -1, + -1, + 428295880, + 266167296, + -1, + 855330213, + -1, + 875440400, + 484795831, + -1, + 402129043, + 602063500, + 137878053, + 467117346, + 833648670, + 865115999, + -1, + 319166683, + 974492051, + 963700190, + 718715834, + -1, + -1, + 998408056, + -1, + 961576537, + -1, + -1, + 339056201, + 756882618, + -1, + -1, + -1, + 237407267, + 460622502, + 341305947, + 759341649, + -1, + 168283816, + -1, + 464607460, + 960265788, + 927452093, + 686297136, + 419596623, + 532081743, + 552226136, + 420955953, + 130440372, + 525081382, + 600228314, + 228901991, + -1, + 395067027, + -1, + -1, + 800747164, + 937250266, + -1, + 342534017, + 361975903, + 939503341, + 654844884, + 894254154, + -1, + -1, + 152394824, + 9190316, + -1, + -1, + -1, + -1, + 394257855, + 791137688, + 117689328, + 3624331, + 461856372, + 322080130, + 75185887, + 568443555, + 472937144, + -1, + -1, + 24685842, + 578229238, + 243671530, + -1, + 78723186, + -1, + 186667906, + -1, + 896408875, + -1, + 133531721, + -1, + 971178872, + 881668547, + 117446311, + 447405635, + 549730264, + 538517837, + 460788406, + -1, + 64858321, + -1, + 617804905, + 176734867, + -1, + 452577227, + 119247629, + -1, + 707072956, + -1, + 63512718, + 635174809, + -1, + 730620220, + 894605053, + 446465511, + 170024130, + 856805683, + 7288622, + -1, + -1, + 803434859, + 336912946, + 564957476, + 243245339, + 138784253, + 664413295, + -1, + 565425259, + 896728467, + 60034176, + -1, + -1, + 333192988, + -1, + 576375566, + 433826154, + -1, + 777383559, + 922268509, + 735646648, + 677641094, + 107642115, + 296988615, + 589525795, + 773832537, + 727078020, + 230316179, + 547129609, + 903519435, + 458324745, + 558075127, + 426559526, + 207796484, + 786899288, + 371165469, + 929075972, + 482931577, + 816756449, + 602247522, + 931081493, + 724249823, + 476178599, + 261092069, + -1, + -1, + 676999624, + 188578593, + 236273550, + 563302873, + -1, + -1, + 356857010, + -1, + -1, + -1, + 772208179, + -1, + 870252541, + 373702063, + 865655546, + -1, + 459944984, + 918358270, + 30993427, + 841688782, + 818945929, + -1, + 906050461, + 251499605, + 995063478, + -1, + -1, + 719204230, + 815250021, + -1, + 385332588, + -1, + 908111602, + 475859588, + 225092710, + 156906022, + -1, + 292962953, + 276638587, + 592832214, + 768309516, + 130101638, + 769996780, + -1, + 933141098, + 523671616, + 898664519, + -1, + 241939902, + 7812393, + 809409714, + 154191232, + 653933274, + 46736035, + 875665041, + 951243018, + 336898181, + -1, + 71832556, + 885635243, + 244786517, + -1, + 346122824, + 720757047, + -1, + -1, + -1, + 39256114, + -1, + -1, + -1, + 948967151, + -1, + -1, + 963436615, + 907782079, + 123118350, + 980059373, + 491143476, + -1, + 147704500, + 674240434, + -1, + 167258968, + 789830504, + -1, + 786150375, + -1, + -1, + 659295029, + 321574167, + 815582512, + 444784794, + 171117729, + -1, + 292819030, + -1, + -1, + 852058490, + 668865708, + -1, + 774689492, + -1, + -1, + -1, + 120339334, + 592244350, + 451783963, + -1, + 981392752, + -1, + 374962316, + -1, + 407933075, + 279116883, + 981314753, + 593690101, + 451342681, + 877373285, + 909851544, + 647099461, + 636451160, + 588196740, + -1, + 739740659, + 735269751, + 302548557, + 140401856, + 456195612, + 585024088, + 427229025, + -1, + -1, + -1, + 484329617, + 728197647, + 553894036, + 153165737, + 505857758, + 546154212, + 827753209, + 871607470, + 123642924, + 485951775, + -1, + 472098101, + 677547566, + 145603808, + 116578917, + 289759504, + -1, + -1, + 177091336, + 642346766, + 51174627, + 450844471, + -1, + -1, + 930756595, + 776432732, + 136857951, + -1, + 77994040, + 70829640, + 616748624, + 617265223, + 606678029, + -1, + -1, + -1, + 385078244, + 506569853, + -1, + 476393615, + 485906587, + 34049787, + 254534457, + 527119042, + 13541645, + 782738503, + -1, + 880632315, + 823015793, + -1, + -1, + 429746923, + -1, + -1, + -1, + -1, + 229075816, + 213150409, + 975082662, + 883661405, + -1, + 465382298, + 618408432, + 414513074, + -1, + 880511778, + 224707142, + 309303462, + -1, + 298559927, + 750643531, + 169177218, + 512409629, + 818016093, + -1, + -1, + 330159869, + 134640008, + 596212799, + 255956968, + 448897379, + -1, + 920352291, + 877340125, + 766555073, + 79380611, + -1, + 711225813, + 755402455, + 34509076, + 415253389, + 833505002, + -1, + 759053468, + 431913729, + 866364453, + 160760223, + -1, + 167230080, + 805245006, + 141465733, + 712848087, + -1, + 226805635, + 572003644, + 266243236, + 587329121, + 324746944, + -1, + -1, + 535188882, + -1, + 201329859, + -1, + -1, + 219825033, + 633842854, + 582804008, + 568109906, + -1, + -1, + -1, + 571524785, + 582783926, + -1, + -1, + -1, + 970141576, + 786560485, + 762244398, + 476482981, + 415768554, + 251029726, + 815148159, + 654247337, + 522552595, + -1, + 787484796, + -1, + 189807457, + -1, + 138746443, + 235805736, + 565049794, + -1, + 567386018, + -1, + 410976146, + 667525441, + 920306048, + 612253224, + -1, + 58353199, + 706959557, + -1, + -1, + -1, + 152902380, + 423220704, + 549606299, + -1, + 25555727, + -1, + -1, + 331242332, + -1, + 380956966, + 242301006, + 229950956, + 955857326, + 251957616, + 158288763, + 241209214, + 902288425, + 68879255, + -1, + 56688300, + 193847230, + 459116482, + 610598614, + -1, + -1, + -1, + 596314522, + 52158696, + 347597045, + 731974043, + 270468609, + 698601039, + 326514108, + 115297127, + -1, + 817363246, + -1, + 463682777, + 737716625, + -1, + -1, + 12400214, + -1, + 248797427, + 859962159, + 145891544, + 883261255, + 816772415, + -1, + 313949818, + 461106874, + -1, + 345995848, + 222874850, + 41773500, + -1, + -1, + 938307340, + 509166256, + 42969630, + 482531300, + 49132652, + -1, + 928662782, + 14011618, + -1, + -1, + 941572423, + -1, + 871032466, + -1, + 758735238, + -1, + 428973161, + -1, + 505948028, + 215194788, + 612705307, + -1, + 743333299, + 682842654, + 670428792, + 4698, + -1, + 464932127, + -1, + 600299186, + 474587303, + 75450878, + 948658830, + 515033920, + 982680969, + 954333177, + 281828532, + 386145160, + 852829858, + 36658391, + 607409742, + -1, + -1, + 432562654, + 540797752, + 44035893, + -1, + 724602049, + -1, + 160804903, + -1, + 357806071, + 357365428, + 407564951, + 328655871, + 153410692, + 611523031, + 294454801, + 327889124, + -1, + 539383972, + -1, + 840624302, + 572894245, + 762749358, + 627658634, + 879670618, + 318176197, + 166457522, + 491864726, + -1, + -1, + 820780099, + -1, + 983957807, + 471683455, + -1, + 837372347, + 454781752, + 244134963, + 104518183, + 277161189, + 539390525, + 683697990, + 312172245, + -1, + -1, + 328397795, + -1, + 842643909, + 511772473, + 354960264, + 594083342, + 358118349, + 112253755, + -1, + 27266846, + -1, + 872304907, + 116561811, + 922525761, + 978197321, + 505343184, + 545737374, + 166221159, + -1, + -1, + 775324972, + 94131281, + 511355364, + 727203146, + 970873327, + 457102867, + 444301702, + 595344044, + 688792034, + 282149811, + 893648079, + -1, + 960250179, + -1, + 780362662, + -1, + 887047163, + 558732904, + 572318095, + 748059214, + 775215374, + 679760404, + -1, + -1, + 710679696, + 839813115, + 126116219, + 70399651, + 64566255, + 441122763, + 381622620, + -1, + 949903946, + 748551726, + -1, + -1, + 589119020, + -1, + 109703904, + 381050031, + 397546520, + 159748282, + 845169524, + 815705229, + -1, + 639708819, + -1, + 970096620, + 774672639, + 907872249, + -1, + 732287100, + -1, + 960798434, + 563701914, + 100720495, + -1, + 351708530, + 754337744, + -1, + 420218926, + 686953406, + 971762347, + 910121534, + 517480508, + -1, + 144711114, + -1, + -1, + -1, + 293229158, + -1, + -1, + 986031037, + 813511183, + 39849505, + 190370377, + 642847445, + 501595145, + -1, + -1, + 993839714, + -1, + 785463516, + -1, + 106047239, + 879702441, + 759856721, + 989315418, + 53651173, + 345200484, + 105849765, + 553659412, + -1, + 984984986, + 985494692, + 466314031, + 93832096, + 395360389, + -1, + -1, + 277470572, + 275351986, + 47598473, + 667784909, + -1, + 124505912, + 244185557, + -1, + 457841247, + -1, + 685410175, + -1, + -1, + -1, + 82233764, + 328855175, + -1, + -1, + -1, + 312866888, + -1, + 592675261, + -1, + 252314455, + 609547967, + -1, + 71593689, + 220342626, + 827048056, + 984736412, + 889111158, + -1, + 108520212, + 880060474, + 536910483, + -1, + 782736506, + 988406921, + 529652490, + 941390054, + 489913363, + 387633792, + 619755640, + 609673734, + 953959599, + -1, + 976545230, + 695991146, + 866072864, + 149472379, + -1, + 503500131, + 752714411, + 398877359, + 40544230, + 647053426, + 336644362, + 64211493, + 447586673, + -1, + -1, + -1, + 737623786, + 976089140, + 684769963, + 843613354, + 531808363, + 309324689, + 262164856, + 712041609, + 491355134, + 314021837, + 274022053, + 518805660, + 514138758, + 747855834, + -1, + 895453166, + 475607969, + 392311548, + 679757989, + 761184060, + 106161181, + 626975309, + 350659495, + 681834977, + -1, + -1, + 456075703, + 200249665, + 989788211, + -1, + -1, + -1, + -1, + 318140753, + 261979103, + 407037014, + 842521248, + 540254353, + -1, + 97376710, + 291182981, + 405100903, + 359836193, + 548447338, + -1, + 552773230, + -1, + -1, + -1, + 620900678, + 711759971, + 822503154, + 514847382, + 58952539, + 901842954, + 434635203, + 486017477, + 988634012, + -1, + 455169005, + -1, + -1, + -1, + -1, + 359880003, + 582958821, + 291189791, + -1, + -1, + 127593711, + -1, + -1, + -1, + -1, + 201325609, + 310203631, + 148903990, + -1, + 521631655, + 305765652, + -1, + 495345051, + -1, + 316807613, + -1, + -1, + 522227924, + 491255799, + -1, + -1, + 257917538, + 8519649, + 859025359, + 393975647, + 125787904, + 629137533, + 77307662, + 441500579, + 689756308, + 309585113, + 565140165, + 777032641, + -1, + 841738646, + -1, + 614801322, + 427034997, + -1, + 758887145, + 388025524, + 134770602, + 427921301, + 720135371, + 705812514, + 275811796, + 315095661, + 39726229, + 721316447, + -1, + -1, + -1, + 655586490, + 866701717, + 599108444, + -1, + 184835526, + 312491058, + 185652213, + -1, + 484131902, + 406898594, + -1, + 235082359, + -1, + 712897247, + -1, + -1, + 140406731, + -1, + 761991327, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 585746215, + 440665163, + 358494912, + 230778088, + -1, + 639337434, + 916862761, + 885276849, + 748710084, + 769943611, + -1, + -1, + -1, + -1, + 879324778, + 21442191, + 626324608, + 421784128, + -1, + 172896763, + -1, + 472840488, + -1, + 57780903, + 250320674, + -1, + 752544820, + 576297826, + 245649429, + 61559530, + -1, + 559980115, + 238011525, + 508706780, + -1, + 564623389, + 492491005, + 420237618, + 47679482, + 598948413, + -1, + 673338733, + -1, + 202006781, + 153229173, + 803599431, + -1, + -1, + -1, + 241163388, + 571262500, + 683156709, + -1, + -1, + 57530871, + 951383791, + 80164820, + 925995880, + 712729347, + 743076596, + 823618853, + 247201708, + 814965553, + -1, + 112904881, + -1, + 427162465, + -1, + -1, + 199990075, + -1, + 977042847, + -1, + -1, + -1, + 785597502, + -1, + 488868830, + 821243755, + -1, + -1, + -1, + 6335346, + -1, + 592767749, + 759735749, + 669354196, + 872591619, + 185638702, + 106592740, + 193316200, + 529575624, + 278675173, + 519781936, + -1, + 125683949, + -1, + 573176478, + 739464155, + 861706925, + -1, + -1, + 330195213, + -1, + -1, + 521550058, + 180438149, + 335701109, + 520468129, + 40013603, + -1, + 385132265, + 680442760, + 881732332, + -1, + 832551042, + 578855466, + 623038334, + 538456024, + -1, + 494356311, + 180264034, + 951665224, + 5953224, + 107464528, + 232559290, + 633420896, + 66485291, + 583720690, + 604990024, + 358644373, + 309436483, + 905943790, + 564253715, + 175434541, + 975892747, + 35423064, + -1, + 125159829, + 563792288, + 546575743, + 438413407, + 361563715, + 114356686, + 104771802, + 831026012, + 543595163, + 827600241, + -1, + 489286752, + -1, + -1, + 314209372, + -1, + 28965979, + -1, + -1, + 817961879, + 283422294, + 644451053, + 13359585, + -1, + 514191724, + 338382828, + 498830678, + -1, + 322359592, + 788113009, + 568146906, + 331919741, + -1, + -1, + 62232629, + 135235870, + 363725439, + 744341963, + -1, + 938845283, + -1, + 43231041, + 746769845, + 766168818, + 590870018, + 268424334, + 821099807, + 970207786, + 490144429, + 511931180, + -1, + -1, + -1, + 787060841, + 256061503, + 116417649, + 921505830, + 200070931, + 123025683, + -1, + 809447522, + -1, + 377168476, + -1, + 117478534, + 572307725, + -1, + 512597749, + 912417196, + -1, + -1, + -1, + 934015773, + 659833138, + -1, + -1, + 548003417, + -1, + 171189225, + 854646648, + 755731392, + -1, + -1, + 686688931, + 838749091, + -1, + 955420075, + 395005742, + 342874344, + 39708513, + 964791747, + 637131589, + -1, + 882339420, + -1, + -1, + 400016978, + 101733646, + 826106515, + 894551642, + -1, + -1, + 236798458, + -1, + 380414395, + 202377606, + 647872334, + 395157525, + -1, + 657765846, + 110074158, + 162314484, + 747182743, + 758856005, + 943945011, + 733045243, + -1, + -1, + -1, + 819693206, + 762619242, + -1, + 92900829, + 799461975, + -1, + 595686035, + -1, + 773602063, + 374011768, + 835479892, + 725562597, + -1, + 163702504, + 268747929, + 894924974, + -1, + 55076083, + 101196492, + 812704380, + -1, + 813400839, + -1, + 376481171, + 629207121, + -1, + 614437807, + 964722540, + -1, + 809158414, + 94366074, + -1, + 606005055, + 405208789, + -1, + 135075349, + -1, + 515081357, + 561327134, + -1, + -1, + 292998077, + -1, + 232842754, + 861967007, + 889178941, + 339246321, + -1, + 19376764, + -1, + 779601245, + 144909252, + -1, + -1, + 957148007, + -1, + 950393815, + 794112345, + 409750004, + 844376436, + 532899125, + -1, + 546344754, + 360081616, + 632694642, + 366008019, + 822297870, + 891025013, + 314084205, + 95703634, + 596233879, + -1, + -1, + 365798802, + 163464505, + 522424846, + 131900583, + 185749470, + -1, + 89695297, + 434956235, + 348555878, + 814673335, + 176607348, + 899267326, + 624655199, + 325571943, + 669136775, + 596241365, + -1, + 701499138, + -1, + -1, + -1, + 729493693, + 241168274, + 385074312, + 730163040, + 621801586, + 743076318, + 552298984, + 823863232, + -1, + 11251323, + 734653972, + -1, + 816647049, + -1, + -1, + -1, + 668076477, + 46780206, + 298966717, + 321022259, + 264638319, + 267809259, + 127367264, + 216133663, + 144931324, + 411845996, + 740864113, + -1, + 293230429, + 487163989, + 250986317, + 882105323, + -1, + 443616752, + 666074782, + 399310919, + 706746977, + 439122701, + 21096421, + 867177679, + -1, + -1, + -1, + 905066958, + -1, + 943073227, + 953989059, + -1, + 296118647, + 673561556, + 503583731, + 727958701, + -1, + 45294953, + 579487580, + 782786956, + -1, + 934837474, + 717979155, + 877028018, + 87495525, + -1, + 995991158, + 519376491, + 360630038, + 108235194, + 70273805, + 886555531, + -1, + -1, + 109305992, + 123204971, + 19546231, + -1, + 528634852, + 822143395, + 114626054, + 915926792, + -1, + 130400081, + 765081984, + -1, + 941328196, + -1, + 807986530, + 305373053, + -1, + -1, + -1, + -1, + 735518700, + -1, + 592708714, + 429278333, + 865036980, + 300896017, + 525027808, + 716885527, + 576227603, + 490051052, + 320638397, + 270907746, + 840517486, + -1, + 523402763, + 272421293, + 349094407, + 255507310, + -1, + 815426279, + 307399699, + 601805428, + 133758010, + 748370601, + -1, + 57214181, + -1, + -1, + 365684153, + 825557170, + 980587977, + 770411886, + 265324888, + 403621539, + 105898000, + -1, + -1, + 215448678, + 622074424, + -1, + 227819397, + 511723407, + 546847772, + 692141579, + 446368947, + 949200652, + 720368098, + 344287115, + -1, + 456114603, + 649696182, + 441705896, + 55644946, + 55528520, + 307610562, + 256209261, + -1, + 768614241, + 310170961, + 802152635, + 168149007, + 288949484, + 498228302, + 592335169, + 216002379, + 514942378, + -1, + 944067499, + 531467284, + -1, + -1, + 936769068, + -1, + -1, + 118775501, + 495880439, + -1, + 846329013, + -1, + 974409828, + 689070770, + -1, + -1, + 820631789, + 133588952, + 418939214, + -1, + 279173898, + 517970487, + -1, + 918483356, + -1, + -1, + -1, + 979546328, + 782611341, + -1, + -1, + -1, + 927222327, + 976608871, + 796642252, + 640760882, + -1, + 230751593, + 704443022, + 352248804, + 687145806, + 598837306, + 555168626, + -1, + 809428311, + 660667570, + -1, + 989508617, + 578184960, + 215860955, + -1, + 15746381, + 602495338, + 582463277, + -1, + -1, + 68145124, + 42534007, + 527194090, + 758311799, + -1, + -1, + 743217090, + 878349527, + -1, + 981179014, + -1, + -1, + 280718037, + 59176097, + -1, + -1, + 342811806, + 515125786, + 75428669, + 968898578, + 793944850, + 362510354, + 180470890, + 299550759, + 4956728, + 921158251, + 94794178, + -1, + 178823633, + -1, + -1, + -1, + -1, + 475399287, + -1, + 240315458, + -1, + -1, + 610851950, + 954855193, + 414937674, + -1, + -1, + -1, + -1, + 852117777, + 116128344, + 283288434, + -1, + 932876689, + -1, + -1, + 572131572, + 882821125, + 454890160, + 461212336, + -1, + 900996756, + -1, + -1, + -1, + 407892882, + -1, + 392331505, + 354660558, + -1, + 648778030, + -1, + -1, + 208520834, + 528690164, + 861579058, + -1, + -1, + -1, + 973574489, + 550771260, + 653391207, + 151251356, + 334405514, + 84966858, + -1, + 969267998, + -1, + 99549084, + 714246990, + -1, + 908888389, + 124431130, + 387609207, + 67789624, + -1, + 326420423, + -1, + 729269425, + 827068698, + 589089975, + 359492099, + 645339304, + 553914732, + 197367531, + 686611346, + 523648169, + 236844265, + 845630207, + -1, + -1, + 601710720, + -1, + 173091209, + 488863512, + 5025814, + 939922176, + 874670507, + 78173896, + -1, + 539241276, + 912212510, + 946135600, + 873835924, + 549063684, + 65701564, + 573734914, + 832474073, + 234891731, + 403692829, + -1, + 314128600, + 809728368, + -1, + -1, + 852165760, + -1, + 221191368, + 119103340, + 586100317, + -1, + -1, + 452475970, + -1, + 649692128, + 553520230, + 373207443, + -1, + 910977350, + 178642542, + 266892157, + 985280042, + 654823073, + 684580106, + 122008670, + -1, + -1, + -1, + -1, + 692909084, + -1, + 525123591, + -1, + 506293606, + 124853609, + 518313656, + 696699058, + 377674971, + 575270139, + 686502911, + 495495979, + 130404031, + 292444761, + -1, + 698657790, + 394374489, + 145743356, + -1, + 902289571, + -1, + 333275276, + 938272224, + -1, + -1, + 32250263, + -1, + -1, + 421258186, + -1, + 496209080, + -1, + 207272862, + 540340364, + -1, + 635051129, + 293481372, + -1, + 757828827, + 232572188, + -1, + -1, + 53697383, + -1, + 524955782, + -1, + 495542371, + 644491555, + 929069434, + 943636844, + 877234874, + 499951028, + 336472907, + -1, + 734026158, + -1, + 733943683, + -1, + 449026329, + -1, + -1, + -1, + 343920073, + -1, + 321193592, + -1, + 192027592, + 869887988, + 567368982, + -1, + 212184345, + -1, + 243246698, + 841224783, + 902106763, + 379830455, + -1, + -1, + 448184461, + -1, + 705754401, + 426010326, + 319480716, + 841831832, + -1, + -1, + -1, + 86348542, + 754609158, + 157737135, + 593995066, + -1, + 875255170, + 898670942, + 678972353, + 237039822, + -1, + -1, + 190386845, + -1, + 178804138, + 431782132, + -1, + 271867445, + 903733320, + -1, + 202107667, + 455851315, + 814278101, + 685857700, + 70401299, + 363831808, + 306201825, + -1, + 748085403, + 134603273, + 588445224, + -1, + 827652175, + 641962676, + 876283121, + 728050382, + 250593578, + 56149167, + 631437694, + -1, + 523829811, + 332756657, + 911003355, + -1, + 212790682, + 911669360, + -1, + -1, + -1, + 981786078, + 424027536, + 391824017, + -1, + -1, + 748050855, + 498196192, + 143917915, + 650824584, + 974738765, + -1, + 797274017, + 490203438, + 391576229, + -1, + -1, + 524350720, + 662462631, + 373832647, + -1, + -1, + 163616130, + 821925757, + -1, + 452490884, + -1, + 902103104, + 419093209, + 487911955, + 957492627, + 475908349, + 307870082, + 463585493, + 153656966, + 241758161, + 433762284, + 872364611, + 823637034, + 959666827, + 401788448, + 636814, + -1, + -1, + -1, + 46683087, + 161306407, + -1, + 544707375, + 681656540, + -1, + -1, + -1, + -1, + 334060071, + 823560350, + 489008967, + 415365779, + -1, + 726690124, + 669044555, + -1, + 611031496, + 179607681, + 457216550, + -1, + -1, + 35594287, + 457409523, + -1, + 783896677, + 69876892, + 891271059, + -1, + 312167242, + 795427539, + 391200645, + 958368071, + 247992826, + -1, + -1, + 345667983, + 994351059, + 329826790, + 267695159, + 859731363, + 761813499, + 785694495, + 650352967, + -1, + 843353719, + 139702305, + -1, + 97120725, + 540748595, + 558032833, + -1, + 843354528, + 153174242, + 30022793, + 597709097, + 531401863, + 835743777, + 186528160, + 654778845, + 412056455, + 957951741, + 643882028, + 850358315, + 745493083, + -1, + 683876645, + 117082422, + 296343974, + 343436494, + -1, + 952549153, + 682303570, + -1, + 986636382, + 970226633, + -1, + -1, + -1, + 76902708, + 952060984, + -1, + 883796153, + -1, + -1, + -1, + 277567704, + 30570856, + -1, + -1, + 182564721, + -1, + 475472543, + 744815856, + 55976429, + -1, + 219457882, + -1, + 263704256, + -1, + -1, + 694295690, + 631353117, + 114690163, + -1, + -1, + 763933189, + 294935098, + 231147495, + 829150147, + 188886159, + 637440179, + -1, + 981973793, + 810703003, + -1, + 36928013, + 93289434, + -1, + 57688431, + 45684285, + 309315411, + -1, + -1, + 524569742, + 786783587, + -1, + -1, + -1, + 617924023, + 947757396, + -1, + -1, + 481278742, + 516444571, + -1, + 596087230, + 742314923, + 454188395, + 263304234, + 468936880, + 178864386, + 239365498, + -1, + 907147731, + 889045947, + 671465730, + 263112453, + -1, + 647075798, + -1, + -1, + -1, + 137423053, + 636714258, + -1, + 113197030, + 52602566, + 517724533, + 601325338, + -1, + -1, + 100004828, + 119751151, + 888864229, + 782677103, + 449758532, + 415709274, + -1, + 871765889, + 557426017, + 935570574, + 486341432, + -1, + -1, + 937435270, + 413688748, + 782990500, + 521088142, + -1, + -1, + -1, + 872559917, + 205980038, + -1, + -1, + -1, + 870681113, + -1, + 735216159, + 521070724, + 718035173, + 608931301, + -1, + 454771817, + 430444437, + -1, + 405275261, + 797544080, + -1, + -1, + 309242615, + 707212627, + 316775969, + 205676406, + 505713180, + 810656677, + 265528272, + 988308204, + 246065960, + 335646, + -1, + -1, + -1, + 290133617, + 558777994, + 405016771, + 331410281, + 933175379, + 377542410, + 780731854, + 874313180, + 784004733, + 509942773, + 102122367, + 66983121, + -1, + 760708556, + -1, + -1, + -1, + -1, + 695732330, + 263456180, + 105604368, + 570295596, + 172740035, + -1, + 885556618, + 28367384, + 815021316, + 52112882, + 588784122, + 237631328, + 974614368, + 325471437, + 825745735, + 345417691, + 685071436, + 620294980, + -1, + 807256214, + 815007904, + 311715627, + -1, + -1, + -1, + 269448009, + 317933815, + 491945171, + 826141256, + 623740845, + 982200531, + 703953027, + -1, + 207601429, + -1, + 725904140, + -1, + 986395164, + 607120240, + 695277036, + -1, + -1, + -1, + -1, + -1, + 566720825, + 944605009, + -1, + 418432221, + 789432701, + -1, + 368463392, + 189988014, + -1, + 531387734, + 707766534, + -1, + 693143419, + 112529901, + -1, + 880927689, + 936981907, + 553937113, + 554743548, + 403282339, + 954647744, + 863756211, + 581133659, + 381578364, + 470092290, + 14371025, + 872644336, + 755738172, + -1, + 527602282, + 625784574, + -1, + 225315174, + -1, + 357369538, + 58450880, + -1, + 319818641, + -1, + 6047258, + 305688586, + 275246665, + 702112823, + 766276271, + 118432284, + 508102090, + 946119722, + 490964831, + 90593901, + -1, + 449010622, + 950595911, + 822814709, + 137406685, + 656370186, + 723359796, + -1, + 538674722, + 13533091, + 882369819, + -1, + 998677523, + 219761548, + 384518766, + -1, + 918208010, + 666761633, + 164867710, + -1, + -1, + 572624219, + 752653094, + -1, + 580744147, + 584513026, + 242317040, + 337951053, + 831209807, + 196432914, + 928808874, + -1, + 653163781, + 460481964, + -1, + 653346286, + 924140788, + -1, + 263744780, + 207116172, + 870215208, + 466053406, + -1, + 764140114, + 834175060, + -1, + 225905215, + 143361288, + -1, + 218017411, + 489692543, + -1, + -1, + 256900164, + 818054229, + -1, + 956143017, + -1, + 401804166, + -1, + 483499390, + 995021382, + 724927024, + 909056138, + -1, + 547705774, + -1, + 139841477, + -1, + 785262847, + 330964107, + 598460339, + 537536903, + 391396810, + 375098303, + 15354788, + 535849877, + 55412765, + -1, + 667601603, + 131044533, + 13264182, + 406460057, + -1, + -1, + 759347309, + 398846100, + 431736601, + 254530523, + 178658741, + -1, + 307648442, + 525621517, + 345681003, + -1, + 960618350, + 518728769, + 378934545, + -1, + 127779047, + 116291996, + 926481965, + -1, + 635816385, + 890084755, + 184975869, + 883026594, + -1, + -1, + 607344034, + 47863644, + -1, + 746271235, + -1, + -1, + 503888591, + 904604166, + 113243567, + 896457161, + 600050939, + 354670315, + -1, + -1, + 590350092, + -1, + 773145589, + 614003604, + 719128198, + -1, + -1, + 763384820, + 5898687, + 788372345, + 579576675, + 779402687, + -1, + 376535202, + -1, + 762674077, + -1, + 360164790, + -1, + 126256497, + 49913322, + -1, + -1, + 180630179, + -1, + -1, + 641006376, + -1, + 388382979, + 336214304, + 568174445, + 307565440, + -1, + -1, + -1, + 379371692, + 855228777, + 907707986, + -1, + 54779553, + 849102651, + 540192226, + -1, + 826800047, + 939456808, + 795649346, + 338759765, + -1, + -1, + 888998623, + -1, + 22693085, + -1, + 791359810, + -1, + -1, + -1, + 459835593, + -1, + 543837346, + 707615138, + 75867635, + -1, + 144388536, + 708538090, + 390261766, + 425133348, + 138605541, + 659133641, + 689061240, + 804867232, + 720833993, + -1, + 390071565, + 931963342, + 790423320, + 669625025, + 662623857, + 221073658, + 643608108, + 349211801, + -1, + -1, + -1, + 609085143, + 741934563, + -1, + 723846738, + 385940546, + 207035360, + 241570720, + 160853186, + 149086928, + -1, + -1, + 766053861, + 442279263, + 150918877, + 724512528, + 737923039, + -1, + 549080577, + -1, + 611864145, + -1, + 420507579, + 133597933, + -1, + 892273775, + 766073812, + 905444817, + -1, + 536130983, + -1, + 774328108, + 732589174, + 741559733, + -1, + 628401508, + -1, + 861722902, + -1, + -1, + 724787908, + -1, + 401759860, + 882175727, + 467891995, + 418133420, + 723686620, + -1, + 462202765, + 456207058, + 627554790, + 790818195, + -1, + 585850379, + -1, + -1, + 530030342, + 131777411, + 942273236, + 4304983, + -1, + 581053940, + 587686851, + 383230129, + 354894892, + 216824344, + 340445831, + -1, + 783248218, + -1, + 967004312, + -1, + 712223504, + 531731463, + 14993677, + -1, + 549023955, + 112489785, + 931952630, + 498220459, + -1, + 498116010, + 333544574, + 670780095, + -1, + -1, + 153992409, + -1, + -1, + 676857122, + 465615460, + -1, + -1, + 756263018, + 769145739, + -1, + 940972118, + 272793824, + 232205484, + -1, + 4549785, + 527573747, + 570885255, + -1, + 367446415, + 541667620, + 184842204, + -1, + 845944226, + 520955478, + 645594912, + 175209865, + -1, + 286295295, + -1, + 348238628, + 622484223, + -1, + 249000765, + 223610063, + -1, + -1, + 319440005, + 197154560, + 286511270, + 299053993, + 832707809, + 981644271, + 535780639, + 137621984, + 638385268, + 128205475, + 31015942, + -1, + -1, + 171410696, + 343781103, + 380455388, + 62732499, + -1, + 997208540, + 465565412, + 259174567, + 672921315, + 964795552, + -1, + 87354467, + -1, + 847266303, + 506794559, + 643631686, + 353342778, + -1, + -1, + -1, + -1, + 303606289, + 838385741, + 832820520, + -1, + 44429415, + -1, + -1, + 494052620, + 213462196, + 752484228, + 877341202, + 249084144, + -1, + 233360211, + 411778194, + 113714931, + 711652878, + -1, + 806136266, + 998816112, + -1, + 751000561, + 889521333, + 44209719, + 209988980, + -1, + 647046725, + -1, + -1, + 967668802, + -1, + 772831243, + -1, + 727005169, + 624566213, + -1, + -1, + 511224101, + 653273250, + 11074776, + 606005250, + 712785079, + 356726828, + 852997894, + 116400566, + 805485955, + 692704699, + 167668229, + 135322069, + 51358501, + -1, + -1, + 711572084, + -1, + -1, + -1, + 212185972, + -1, + -1, + -1, + 145785185, + 558155053, + 180942964, + 300998949, + 830718963, + 760600636, + 167507919, + 245931497, + -1, + 675367960, + 899799361, + 246382437, + 196920708, + 165904986, + 388367204, + -1, + -1, + 576960512, + 205489052, + 21005244, + 128445471, + 327591472, + -1, + 222966858, + 883009859, + 337738687, + -1, + -1, + 383849357, + 879627895, + 403634696, + -1, + 20888536, + 182965630, + 997718385, + 237530024, + 967797577, + 995094162, + -1, + -1, + 522860327, + 991910956, + 64845824, + 441934469, + -1, + 668017570, + 622869049, + -1, + 253879624, + -1, + 454143678, + 977121441, + 296153443, + 495118738, + 975273230, + -1, + 417501922, + 137167537, + -1, + 218745384, + 975932080, + 968897901, + 604735860, + 133569868, + 570743647, + 650238870, + 865091480, + 67380730, + 252010427, + 901025294, + -1, + 817376093, + 972254155, + 800834193, + -1, + -1, + 250183394, + 599738460, + 845790280, + 361162743, + 308449825, + -1, + -1, + 637375908, + 28088798, + -1, + 813732969, + 862380811, + 532457207, + 760078469, + -1, + -1, + 135325599, + -1, + 476430448, + 951630096, + -1, + -1, + -1, + -1, + -1, + -1, + 198159426, + -1, + -1, + 406185017, + 323721197, + 546346631, + 526247078, + -1, + 225214666, + 465709766, + 73813626, + 757462069, + -1, + -1, + 702779972, + 563578934, + -1, + -1, + 441238657, + 232916614, + -1, + 478436150, + -1, + 692524292, + 840053745, + -1, + 142674779, + 914088519, + 367414420, + -1, + 847849673, + 283574869, + 340376082, + 708944106, + -1, + -1, + 354332314, + 923120786, + -1, + -1, + 833397955, + -1, + -1, + -1, + 346621384, + -1, + 906602500, + 863585041, + 817527573, + -1, + 636957211, + -1, + -1, + -1, + 929535725, + -1, + 419214470, + -1, + 859581671, + 83612412, + 367513411, + -1, + 623587293, + 989396023, + -1, + 366510193, + 164617777, + 754843099, + 694931818, + 776386341, + 584154062, + -1, + 731095555, + -1, + 923543752, + -1, + -1, + 334246897, + -1, + 458229122, + 850681979, + 555234910, + -1, + 64399903, + 849885023, + 561575676, + 891845993, + -1, + 305431134, + 78877977, + 152011828, + 646997263, + 256558636, + 541313738, + 406503601, + -1, + -1, + -1, + 874127739, + 310310975, + 348288116, + 838163219, + 136935950, + 45482458, + 300863189, + 157315445, + 856698463, + 658939196, + -1, + 622111551, + 381428497, + 769789341, + 8369006, + -1, + 468182937, + -1, + -1, + 580063753, + 910247366, + 616735507, + 684277716, + 399464990, + -1, + 64921619, + 256599138, + 16213956, + 691474778, + -1, + -1, + 47071702, + 421008488, + -1, + 515165233, + 89618444, + 396568705, + 10390392, + -1, + 382522428, + 536231817, + 143921225, + 855756886, + 917669871, + -1, + -1, + 595997948, + 775766932, + 234811743, + 858451386, + 105862349, + 938455460, + 817755853, + -1, + -1, + -1, + 306133252, + 837663414, + 552125897, + 223696196, + -1, + 547620656, + 943437503, + 689647823, + 927222531, + 638935820, + 813339428, + 637349775, + 540890634, + 862551019, + 832303110, + 303251605, + 602039513, + 559930598, + 885182004, + 765482194, + 642746415, + 696817971, + 338906144, + 898469328, + 564300824, + 440501742, + 235133069, + 766642849, + 4485148, + 17909568, + 583323853, + 102312710, + 68048377, + 902829465, + -1, + 371104487, + 295730223, + 608789744, + 48560777, + 295344127, + -1, + 246327066, + 712544709, + 295396580, + 15057509, + 720487858, + 225756163, + -1, + 427304503, + -1, + 382369906, + 871559202, + 954499734, + -1, + 459759775, + 442200737, + -1, + -1, + 917828607, + 103465176, + -1, + 414633804, + 492909822, + 419568679, + 979787531, + 398255574, + 803920760, + -1, + 218172330, + -1, + -1, + 884781154, + 947408170, + -1, + 589549882, + 123978932, + -1, + 124391997, + 394995747, + 562240554, + 454754850, + -1, + 848275920, + -1, + 332447835, + 687368574, + 420627704, + 112005084, + 646683082, + 129249640, + -1, + -1, + -1, + 133206641, + 975689272, + 434807262, + 924289627, + 281506789, + 433811835, + 444698829, + 530296067, + -1, + -1, + -1, + 931416946, + 498945179, + 787515460, + 306894900, + -1, + 828359560, + 673583246, + 217088949, + -1, + -1, + -1, + 600280195, + -1, + 600907224, + 623361514, + 174130662, + 858059277, + 95645517, + -1, + 74873571, + 238335165, + -1, + 792703723, + 75516721, + -1, + -1, + 749273877, + 13337372, + -1, + 331006511, + 163173554, + -1, + 164064432, + 568011975, + 280175848, + -1, + 884617001, + 600886969, + 973764232, + 926670203, + 165148794, + 12149836, + 67491619, + 441532678, + 899588159, + 881446200, + 283136756, + 440438789, + 651784014, + -1, + 322311643, + 432203453, + 269456036, + 554766113, + 522787759, + 972222008, + 889098940, + -1, + 767178599, + -1, + 393525569, + 933302361, + 487018226, + 891267785, + -1, + 763477905, + 952638812, + -1, + 714260448, + 70246024, + -1, + 511607666, + 422135009, + 172308845, + 60862633, + -1, + 644555573, + -1, + -1, + 481375581, + 468608020, + 435724248, + 680261537, + 952324465, + 568508431, + 775324635, + 808459350, + 945477978, + -1, + 315279050, + -1, + -1, + 44290383, + 367133243, + 538423714, + 23278031, + -1, + 755416914, + 491237319, + 904439581, + 733354967, + 847054775, + 394153264, + 140140486, + -1, + -1, + -1, + 680963922, + -1, + 591361589, + 362312422, + 58519905, + 467920178, + 829249484, + -1, + -1, + -1, + 412504918, + 323717836, + 638581845, + 830130520, + 261803940, + -1, + 278702977, + -1, + -1, + 557508699, + 701038994, + 717140062, + 376931162, + -1, + -1, + 200320027, + 635026961, + 942456222, + 424631186, + 690296343, + 82752655, + -1, + -1, + 657974850, + -1, + 317045301, + -1, + -1, + -1, + 842882805, + 328979489, + 496287953, + -1, + 247714055, + 989060550, + 848017287, + 526453607, + 533688203, + 928561177, + 550903220, + -1, + -1, + -1, + 207310634, + 971779585, + -1, + 875836321, + 448230447, + 723268266, + 303853719, + 689354436, + -1, + 339782437, + 617254843, + -1, + 784392862, + -1, + 575412144, + 401675658, + 286904592, + 255693757, + 387101309, + 924260940, + 414401158, + -1, + 157540566, + 575848527, + -1, + 568363764, + 312827895, + -1, + 460731335, + 559383165, + 771597349, + 473671991, + -1, + 21811304, + -1, + -1, + 247833160, + 151052633, + 106644897, + 914002038, + 995656982, + -1, + 167427648, + 105106218, + 175738927, + 177209599, + 407491775, + 795318683, + 149061332, + 132624937, + 403742965, + -1, + 180829521, + 419146546, + -1, + 187817455, + 803154461, + -1, + -1, + 97458596, + 228928805, + -1, + -1, + 690426244, + -1, + 912222868, + -1, + 858710732, + -1, + 595756009, + 882662384, + 71339624, + 126506715, + 474670508, + 939832501, + -1, + -1, + -1, + 369525814, + 365265501, + 858504821, + -1, + 435676963, + 25181605, + 819537070, + -1, + 954721026, + 107870209, + 457240465, + 916604310, + -1, + 167345015, + 12279326, + 809676488, + 331497698, + 561792174, + 435132921, + 983448435, + 749553455, + 274546176, + 579003775, + -1, + -1, + 795864873, + 728607055, + 70087864, + 421936812, + 677211422, + -1, + 479613466, + 755266859, + 421858797, + 253987821, + 105905777, + 781259494, + 850665286, + -1, + 871434557, + -1, + -1, + -1, + -1, + -1, + 393667689, + -1, + -1, + 742818670, + 167269634, + 735908840, + 181347788, + -1, + 163025764, + -1, + -1, + 290507389, + -1, + -1, + 753579768, + 618452248, + 774371460, + 752445881, + 652571547, + 37508921, + 734344346, + -1, + 383192730, + -1, + -1, + 148396221, + 405720974, + 840054200, + -1, + 836858587, + 557370058, + 565190190, + 497365171, + 491444746, + 637980741, + -1, + -1, + 791040048, + 346794559, + 496897875, + -1, + -1, + 630571326, + 922467129, + -1, + -1, + -1, + 482982222, + 667952527, + 75417338, + 108964578, + 595469798, + -1, + -1, + 937545128, + 698493319, + 611975548, + -1, + -1, + -1, + -1, + -1, + 604073975, + 15211865, + 226272652, + -1, + -1, + 602838373, + -1, + 892046537, + 616844020, + 954377283, + 128852530, + 779039798, + 369762983, + 729013132, + -1, + -1, + 814296574, + 686668459, + 908400149, + -1, + 818352787, + -1, + 223222777, + -1, + 631037372, + 42966250, + 785736219, + 60115613, + -1, + 165718054, + 429849741, + 623286024, + 809398437, + 958371228, + -1, + -1, + 626500909, + 381513188, + 477067279, + 797807206, + 699750056, + 943704151, + -1, + -1, + 863914535, + 375349985, + -1, + 655266365, + 754106750, + 93727676, + 306587403, + 793413090, + 209854808, + 607564304, + 203394548, + -1, + 756810540, + 850053373, + 650536556, + 503689389, + -1, + 52404795, + 215710011, + 668906565, + 518427592, + -1, + -1, + 304925828, + 46358070, + 14404072, + 373360130, + 415308599, + -1, + -1, + -1, + 861021384, + 315396393, + 681440800, + -1, + -1, + 598476544, + 170098936, + -1, + -1, + 938467860, + 458129506, + 86714655, + -1, + 675041841, + 895767053, + 755191398, + -1, + 921792972, + -1, + 124114134, + 854134873, + 232229350, + 903736021, + -1, + 740378995, + -1, + -1, + 857806143, + -1, + -1, + -1, + 945061383, + 780525296, + 811173535, + -1, + -1, + 1191403, + 179012677, + 215199192, + 819351734, + 705563019, + 111736702, + 780908862, + 317423543, + -1, + -1, + -1, + 373503090, + 908444323, + -1, + 357531194, + 835881226, + 545584438, + 736637760, + 226491690, + 796946319, + 41385043, + 372796894, + -1, + -1, + 65159179, + 108038729, + 99711877, + -1, + 277867760, + 368655802, + 300823567, + -1, + -1, + 312386823, + 361118482, + 754522711, + -1, + -1, + 704479900, + 579414318, + 733680845, + -1, + 461017989, + 336147192, + -1, + -1, + 103469930, + 345665121, + 638143492, + -1, + -1, + -1, + 417574482, + 190272972, + 900544302, + 444942704, + 84695681, + 818029345, + -1, + 524225930, + 662883857, + 307268623, + -1, + 820614277, + -1, + 124618987, + 737236660, + 54597878, + -1, + -1, + 590250325, + 797554929, + -1, + 133706376, + -1, + 155405722, + 378474053, + 130158222, + 412975822, + 840617956, + -1, + 896725428, + -1, + -1, + 794898894, + -1, + 280634012, + 358110480, + -1, + -1, + 513624960, + 595532046, + 977604600, + 838293142, + 583889707, + 455016321, + 788652831, + -1, + 780112933, + -1, + 703770779, + -1, + 758508829, + 980383330, + 805428465, + 199575221, + 554339531, + 425579298, + 164484798, + 487031583, + 409577148, + 21244455, + 141357615, + 128326174, + 808290843, + -1, + 980023857, + 507174056, + 115193658, + 82376604, + 573651448, + -1, + -1, + 58988487, + 253252486, + -1, + 338181879, + 596748060, + 984679886, + -1, + 909115573, + 610944762, + 530639633, + -1, + 328777703, + 760301918, + 346642749, + 39940357, + 395715119, + 685074276, + 884971449, + 993040605, + 766574891, + 626245411, + -1, + 43908575, + 676996869, + 203561102, + 76498755, + -1, + 505455442, + 169225625, + 826691772, + 839630899, + -1, + -1, + -1, + 570625507, + -1, + 576668320, + 276640375, + 175368772, + -1, + 251987269, + 383529488, + -1, + 462946254, + 945825915, + 475517356, + 931866914, + 390372066, + 112466945, + -1, + -1, + 964330309, + 42324047, + 438001553, + -1, + 606885333, + -1, + 458692470, + -1, + 917241260, + -1, + 690066414, + 895146160, + 522570752, + 937035319, + 976591129, + -1, + 126247301, + 195888978, + 257303824, + 406980154, + -1, + 315304422, + 476496008, + 562666412, + 987744038, + 490545496, + -1, + 270105598, + -1, + 912737828, + -1, + -1, + -1, + 739686533, + -1, + -1, + 350371695, + -1, + 639352050, + -1, + 472821759, + -1, + -1, + 470643203, + 236387939, + 762051692, + 942042156, + 129660191, + 733507480, + 582422927, + -1, + 809073217, + 359129012, + 864609040, + 364283478, + 115595742, + 498929907, + 817927900, + -1, + 866931577, + -1, + 8146172, + 880783520, + 920423048, + 38446865, + -1, + -1, + 67603265, + 203608411, + 745566725, + 392577732, + 608956839, + 479624769, + 341491355, + 134011313, + 798562299, + -1, + -1, + 51009323, + 677278508, + -1, + -1, + 69923966, + 965870338, + 947877913, + -1, + -1, + 606018742, + -1, + 844180556, + 873196055, + 841746339, + 46612772, + 9957887, + 857181602, + 546406347, + 259730593, + 411232068, + 732257955, + 423415977, + 65265165, + 236555238, + 56906040, + 892800182, + 114835290, + -1, + 195304560, + 201244255, + 968173190, + 779394344, + -1, + 707503015, + 38304210, + 899853396, + 331080257, + -1, + 126253776, + -1, + 539405018, + 869579417, + -1, + 74157756, + 512619846, + 807777989, + 253200921, + 82700052, + -1, + 946916932, + 548103944, + 501348210, + -1, + 12514361, + 567428616, + 848320433, + 208011315, + -1, + -1, + 83123183, + -1, + -1, + 753200441, + 670050523, + 631019266, + 938668738, + 592201431, + -1, + 825211444, + -1, + 81094768, + 855290359, + 905127863, + 257188776, + 560487076, + -1, + -1, + 291753509, + 633395488, + 171942610, + -1, + -1, + 40616512, + -1, + 994747772, + 697619432, + 755835508, + 483510296, + -1, + -1, + -1, + 981946839, + 318270543, + -1, + 79522413, + -1, + -1, + 492127981, + 421369470, + -1, + 901135546, + 609295209, + 774941043, + 604575052, + -1, + 730127675, + 993707806, + 937768092, + 12191124, + -1, + 257685222, + 58350805, + 52330626, + 527661518, + 72130467, + -1, + 384853839, + -1, + 946925715, + -1, + 941900138, + 465016083, + 656873026, + 853679717, + -1, + 253025265, + 7847091, + -1, + -1, + -1, + 584798228, + 831866671, + 808835165, + 119251610, + 269106492, + 938042581, + -1, + -1, + 680695731, + -1, + -1, + -1, + 331592096, + 931838469, + 938770562, + 769736082, + 15457714, + -1, + -1, + -1, + 781986164, + 868970443, + 610776673, + 268829823, + 354410508, + -1, + 921240215, + 257697416, + -1, + 523555587, + -1, + 563993140, + -1, + 327950436, + 403843257, + -1, + 795286557, + -1, + 862528031, + 296722318, + 203970388, + -1, + 298376871, + 864462487, + 239245832, + 630164036, + -1, + 621381440, + -1, + 51338015, + 206113336, + 282327974, + -1, + -1, + 841915082, + 324862869, + -1, + -1, + 294076772, + 571931009, + 973640877, + 59522564, + -1, + -1, + -1, + 267690061, + 411577811, + -1, + 432704013, + 818123346, + 394870436, + 22555518, + 170581434, + -1, + 512707739, + 434933014, + 588609511, + 933216399, + -1, + 629094031, + 606929512, + -1, + 363512694, + 61798483, + -1, + -1, + -1, + -1, + 55982822, + -1, + -1, + -1, + -1, + -1, + 8702572, + 587138852, + -1, + -1, + 784105709, + -1, + 151730915, + -1, + 386012104, + -1, + 443810531, + 316084229, + -1, + 506142418, + 488150748, + 838099587, + 437636493, + 290725818, + -1, + -1, + 596564020, + 154140284, + -1, + 716858416, + -1, + 838790238, + -1, + 99991731, + -1, + -1, + 225501838, + 364299316, + 575762071, + 77656933, + 26446389, + 431776722, + -1, + 757915324, + 441369321, + 831576884, + -1, + 22475938, + -1, + 852695179, + 541212110, + 941125792, + 578373740, + 454207466, + 408988192, + 432541514, + 968625561, + 320603129, + -1, + 457299074, + 499853519, + 987335264, + 883803344, + 570253299, + 1362712, + 859779444, + 607978774, + 639249543, + -1, + 790834314, + 69254589, + 654293878, + 815022413, + 102258658, + 991457942, + -1, + 980411854, + 269818046, + -1, + -1, + 754742690, + 965825917, + 608349915, + 430782834, + -1, + 447166465, + -1, + 927524593, + 713980214, + 171038854, + -1, + 957849190, + 620411995, + 772086230, + 464695865, + 158527813, + 703901768, + 957810000, + 357843056, + 369481309, + 440008453, + -1, + -1, + 120021767, + 811178927, + -1, + 33787188, + -1, + 259075515, + -1, + 526315346, + 39707787, + 782092527, + 916105146, + -1, + 991354675, + -1, + -1, + 795713491, + 582182027, + 359711894, + 286367701, + 923445764, + 681976533, + 282988324, + 694171411, + -1, + 237164537, + 817616179, + -1, + 278702356, + 739866501, + 584963795, + 511651220, + 822783788, + 877320242, + 145627687, + -1, + 364664901, + 715893611, + 19050228, + 177290091, + 134949753, + 288783697, + -1, + 105804159, + -1, + -1, + 835616694, + 265838702, + 351547471, + -1, + 33388124, + 322960652, + 573862064, + 771843891, + 535838303, + 674852541, + 392899934, + -1, + -1, + 155525639, + 322525379, + -1, + 190769461, + 85586902, + 72753936, + 247132424, + 749237002, + 842889676, + 198551546, + 787117241, + 967846727, + 349552360, + 272593247, + 383573047, + 410578022, + 382433547, + -1, + -1, + 267737391, + 201884068, + -1, + -1, + -1, + 281245333, + 95691641, + -1, + -1, + -1, + 713035432, + 566783764, + 393911328, + 987048809, + 485492918, + 239797667, + -1, + 395609213, + 513408194, + 162754464, + 135471700, + 313199735, + 276301968, + -1, + 896599201, + 103585098, + 877369734, + -1, + 338437616, + 476857122, + 144994228, + -1, + 258471896, + -1, + 33245220, + 251184009, + -1, + 825840093, + 472215135, + 386078788, + -1, + -1, + 651379598, + 120080650, + 556159798, + -1, + 722168418, + 456128820, + 232166553, + -1, + -1, + 198891760, + -1, + 363488894, + 621117242, + -1, + 433886699, + 885190573, + -1, + 956787357, + 638102281, + 759926261, + 666607115, + 333834827, + 575142717, + -1, + 523826843, + 39188617, + 5666501, + 687506260, + 817073221, + -1, + 27871216, + -1, + 575025460, + -1, + 126172795, + 211841576, + 33097766, + 317156416, + -1, + -1, + 623943835, + 42732409, + 591061830, + -1, + 489332991, + 442007386, + 351683224, + 943366903, + 348896224, + -1, + 263064305, + 928120877, + -1, + 851592856, + -1, + -1, + 660792175, + 257993641, + 361511660, + 437849280, + 588380146, + -1, + 953067257, + 48302908, + -1, + -1, + 192662797, + 91433826, + -1, + -1, + -1, + 229734992, + 484400402, + 534268437, + 626545081, + -1, + -1, + 234489707, + -1, + 871801521, + 204762386, + 483263359, + 876647164, + 633005802, + 709221357, + -1, + 45316226, + 349588461, + -1, + -1, + -1, + -1, + 375366410, + -1, + -1, + 153927065, + 151643717, + 32558732, + -1, + -1, + 133714353, + -1, + -1, + 126367726, + -1, + 645947972, + 25648605, + -1, + 751254790, + -1, + -1, + -1, + 897448200, + 25202487, + 815935564, + 452698638, + -1, + 300946024, + -1, + 782221930, + -1, + 161387835, + 953439271, + -1, + -1, + 174323366, + 608460102, + 743497333, + 606228225, + 619087779, + 508150448, + 199375193, + -1, + 71790971, + -1, + 597505770, + -1, + 80287586, + 573735340, + -1, + 851482733, + 655663817, + 859975633, + 581684675, + 740583498, + -1, + 288628953, + -1, + -1, + 472958674, + 441186465, + -1, + 829480128, + 889599202, + 887783056, + 507353405, + 201202490, + 464226084, + 618406365, + -1, + -1, + 642293453, + 507022816, + 722103467, + -1, + 561345134, + -1, + 558850535, + -1, + 175198171, + 154708557, + -1, + -1, + 593191879, + 129977759, + -1, + -1, + 685555510, + -1, + -1, + 51898642, + -1, + 291620352, + 849665277, + 774080993, + 993219004, + -1, + 225075832, + 991377076, + -1, + -1, + -1, + 481233717, + 857500255, + 722123092, + -1, + 996014394, + 972764339, + 542403668, + 199128703, + -1, + 83990932, + -1, + 500438172, + 321193917, + 17991419, + 533587409, + -1, + -1, + -1, + 973130279, + 347028781, + -1, + -1, + 17262371, + 326177337, + -1, + 871107637, + 685259593, + -1, + 49043183, + 153416137, + 225556685, + 439344705, + -1, + 608725085, + -1, + 521770376, + 198504550, + -1, + 623999551, + 937804143, + -1, + 192906686, + 239509517, + 380813484, + -1, + -1, + 469125761, + 925361209, + 199459005, + 155210195, + -1, + 298467682, + -1, + 394586610, + 837857164, + -1, + 742213153, + 449064150, + -1, + 454447594, + -1, + 136305870, + 806463010, + 653016833, + 709113579, + -1, + -1, + 930165688, + 763197231, + -1, + -1, + 648417366, + 423726212, + 507338934, + -1, + 532388341, + 441976473, + 906148348, + -1, + 37575550, + 659086305, + -1, + 684540606, + 465688346, + -1, + 758101969, + 271773396, + 794848788, + 541412034, + 415054038, + -1, + 695934755, + 355257303, + 587228634, + -1, + -1, + 491356387, + 164158892, + -1, + -1, + 95958163, + 58851410, + -1, + 154568181, + 762927862, + -1, + 169783833, + -1, + -1, + -1, + -1, + -1, + 726708249, + -1, + 918664443, + 84965383, + -1, + 532537567, + 564587892, + -1, + 220302392, + 114080227, + 653314785, + 254960480, + -1, + 45386104, + -1, + -1, + 137065974, + 54826701, + -1, + 967415332, + 929552074, + 341687945, + -1, + 443160299, + 91530347, + 92877852, + 241472667, + -1, + -1, + 976676750, + -1, + -1, + 659693013, + 997795952, + 893992458, + -1, + -1, + 103293250, + 986932344, + -1, + 146264264, + -1, + -1, + 831433325, + 373790581, + -1, + 117212927, + 26285517, + -1, + 563194485, + 634538871, + -1, + -1, + 581693860, + 823943996, + 797511983, + -1, + 149669405, + 38958049, + 371674385, + 581748615, + 325901712, + 631380580, + 342850859, + 56636384, + 934502870, + -1, + 276194520, + 523004789, + -1, + 950804952, + -1, + 960394845, + 15022751, + -1, + -1, + 263935671, + 673776880, + -1, + 661563308, + 842008492, + 9100063, + 31143636, + 879640839, + 984887199, + 271132460, + -1, + -1, + 438942609, + -1, + -1, + 83669598, + 674762598, + 789485974, + 273246281, + 61641387, + 330710271, + 789129111, + 119167867, + -1, + 825380375, + 14218981, + 858418908, + 356757721, + 988602465, + -1, + 304107075, + 926006340, + -1, + 706204521, + 437080104, + 48061674, + -1, + -1, + -1, + 490957271, + -1, + 63455118, + -1, + -1, + 142950171, + 574766756, + 169038723, + -1, + 403421236, + -1, + 746787988, + 680768617, + 471824020, + 890811560, + -1, + 242619845, + 800599065, + 701356569, + 912949124, + -1, + -1, + -1, + 325247924, + -1, + 384485856, + -1, + 186777842, + -1, + 133707163, + 98906779, + 951998486, + 670908097, + 284736448, + 262503225, + 983929966, + 415293691, + 296210360, + 290923946, + 939902782, + 936429140, + -1, + 691724800, + 75207286, + -1, + -1, + 38278408, + 607307158, + 689026291, + -1, + 537228658, + 386929132, + 732153210, + 644004318, + 360029412, + 17409985, + -1, + 636334437, + 943319791, + 923599610, + 83018507, + 242591010, + 760040966, + -1, + 564024750, + 577053972, + -1, + 197446017, + -1, + 866911973, + 851909785, + 83402212, + -1, + -1, + -1, + 23578289, + -1, + 725086817, + -1, + 96833230, + 808821314, + 657423182, + 89993850, + 782045957, + -1, + 616544810, + -1, + 717992254, + -1, + -1, + -1, + 371813367, + -1, + 533398501, + 795333577, + 884966236, + -1, + -1, + 402037433, + 187938305, + 160900605, + -1, + 314593862, + -1, + 522526754, + 281687967, + 190560465, + 534313514, + 829734316, + 804149596, + 372612869, + 543728472, + 126704580, + 608826973, + -1, + -1, + 390168635, + -1, + 253258504, + 651290796, + 931287347, + 420915425, + -1, + -1, + -1, + 632537912, + -1, + 691504782, + -1, + 799606997, + 145919662, + 738596547, + 868079899, + -1, + 785460653, + 320540999, + 969847305, + -1, + 864430187, + 557270539, + 658672650, + 415798914, + 769264787, + 954872703, + 268046121, + 941690020, + 588359206, + 776011329, + 550049431, + 953218436, + 717812095, + 534206028, + 342813214, + 223977817, + 533374141, + 951852333, + 99960673, + 737959052, + -1, + 514569747, + -1, + 899591435, + -1, + 446916683, + 105516904, + 808295246, + -1, + 332984448, + 295198182, + -1, + 800847884, + -1, + 554961021, + 11414526, + -1, + 627583288, + 23647811, + 235580607, + -1, + 499936813, + -1, + 244711450, + 163888112, + -1, + -1, + 149649278, + 377531804, + 220031210, + 12978124, + 256159865, + 595676340, + 897148832, + -1, + 718027413, + 102536533, + 287109528, + -1, + 314840416, + 941059170, + 986474840, + -1, + 410434608, + 732050550, + -1, + 215084745, + -1, + -1, + 344042703, + 938276937, + 109636639, + 891722784, + 660547259, + -1, + 346647293, + -1, + 446269860, + -1, + 35083108, + 53099273, + 148947468, + -1, + 413161402, + 91920860, + -1, + 589430355, + -1, + 997468339, + 125701364, + 299057275, + 38235805, + -1, + 727481095, + 949613717, + -1, + 166381001, + 717341699, + 524203864, + -1, + 543741932, + 797528767, + 352017833, + 740312057, + 233149136, + 786957950, + 667848835, + 517943938, + 302487615, + 457628204, + 58559511, + 925555425, + 848729257, + 232291549, + 298864781, + 332119705, + -1, + 796979219, + 578259053, + -1, + 217427754, + 61133304, + 640906437, + -1, + 867342548, + 425687608, + 812979616, + -1, + -1, + 240791378, + 711331859, + -1, + -1, + 141415000, + 517298249, + 108102008, + -1, + 642039045, + 26695536, + 944787099, + -1, + 223727973, + 696071147, + 458234202, + 284379792, + 545856312, + -1, + 605158364, + 237176667, + 211755899, + -1, + 349943549, + -1, + 792650871, + 76783869, + 682089927, + 246632442, + 492572451, + 541365803, + 554134920, + 359327807, + -1, + 705150556, + -1, + 101417798, + 227946109, + 539314155, + 356617120, + 839255306, + -1, + 8783869, + -1, + 132894409, + 740092293, + -1, + 651981228, + 499840219, + 47200930, + 251161441, + 389219501, + 622374959, + 737824023, + 493817496, + 60253464, + 654509703, + -1, + 954771777, + 633453038, + 604045352, + -1, + 259733258, + -1, + 131973894, + 382083916, + 226914493, + -1, + 91559233, + 588829106, + 521792216, + -1, + 371479057, + 719983785, + 581508292, + 144903401, + 953494592, + -1, + -1, + -1, + 157250149, + -1, + 308525638, + -1, + 239931619, + -1, + 354155415, + 703222338, + 660930104, + 5195733, + 969302787, + 191325015, + 38443972, + 155001956, + -1, + -1, + 376837586, + 543251593, + -1, + -1, + 791771021, + -1, + -1, + 577093783, + 952854703, + 213830171, + 822370130, + 490860188, + 474750561, + -1, + 92338138, + 683154870, + 65193541, + 34508560, + 998961031, + 355896547, + -1, + 353063593, + 281985650, + 981196296, + 768026119, + 862603070, + -1, + 108716107, + 756006666, + 46769708, + 62571894, + 598504402, + -1, + 19042428, + 818182233, + 128115150, + 299812602, + 91868022, + 822723378, + 144086210, + 370748191, + 127584022, + 866736501, + 169730317, + 250113967, + 510189957, + 509615053, + -1, + -1, + -1, + 209312422, + 110939216, + 493962243, + 444928719, + 481127317, + -1, + 373791703, + 32015986, + 406041518, + -1, + -1, + -1, + 877312397, + 625580976, + -1, + 450914604, + -1, + 525452322, + 971234409, + 412875893, + 78747921, + 52252403, + -1, + 807408331, + 674756538, + -1, + -1, + 322443082, + 226502566, + 933682210, + -1, + 390064770, + 697494556, + 334614432, + 72048109, + 870150658, + 494110236, + 765098624, + -1, + 968402715, + -1, + -1, + -1, + 298694215, + 667851113, + 195689468, + 736848392, + 949420282, + 779651623, + 388968493, + -1, + 25619124, + 570042883, + -1, + 357868677, + -1, + 208249683, + 109694141, + -1, + -1, + -1, + -1, + -1, + 864441716, + 72877054, + -1, + 651341276, + 234016067, + 299424089, + -1, + 369190581, + 233330666, + 816830079, + 697737591, + 181141910, + 649406325, + 176530323, + 662422921, + -1, + -1, + -1, + 465733596, + 337095451, + 468311101, + -1, + 295681631, + -1, + 898071118, + -1, + 163282515, + 756957089, + -1, + -1, + 619543606, + 396940733, + 588244492, + -1, + 512502686, + 823418622, + 410560609, + 472397964, + -1, + 798732326, + -1, + -1, + 667061343, + 253967073, + 300133801, + -1, + 533451098, + -1, + 117007555, + 907722812, + 462308121, + 423705811, + 475071515, + 250389274, + 265889833, + -1, + 419924470, + 615217015, + -1, + 192437914, + -1, + 214122042, + -1, + 741058697, + 510516529, + 659448950, + -1, + 263200090, + 39135964, + 725225426, + -1, + -1, + -1, + 912878714, + 493534750, + 675174120, + -1, + 587529485, + 438934490, + 884377432, + 217196008, + -1, + 276917990, + 616482140, + 142362848, + -1, + 590015555, + 137789384, + -1, + -1, + 656053126, + 408880921, + 547742958, + 969197799, + 916294261, + 326377406, + 177782085, + 222059293, + 655704183, + 180795626, + -1, + 66414138, + 687549616, + 659580211, + 359585913, + 225366632, + 829644334, + 561581887, + 60215926, + 553961176, + 100514649, + 800998608, + 315740471, + 138071635, + 322484605, + -1, + -1, + 245563631, + -1, + 173520194, + 279572542, + 316784586, + -1, + 461984358, + 452832595, + 295136582, + 454827870, + 998703282, + 626256124, + 959749669, + 362743610, + -1, + 391692523, + 616474536, + 434756025, + 915000103, + 106244498, + 574724069, + 85810875, + -1, + -1, + 233464158, + 541591471, + 337923110, + 895096496, + 844083108, + 539254801, + 638315451, + 556164193, + -1, + 928072663, + 424306159, + 358436881, + 268072283, + 72414761, + 944246162, + -1, + -1, + -1, + 662804657, + -1, + 914002582, + -1, + -1, + -1, + -1, + 118922014, + 661937187, + -1, + -1, + -1, + -1, + 630062809, + 651095843, + -1, + 813304991, + 453849011, + -1, + 703191997, + 849884122, + 409673428, + 390543560, + 557893793, + 903608871, + -1, + -1, + 634409529, + 815172944, + 567581020, + 539512055, + 760440351, + -1, + 124948186, + -1, + 735175295, + 128856289, + 774496736, + -1, + -1, + 359263775, + -1, + 344392176, + 20003847, + 413012490, + 390624900, + 980425924, + -1, + -1, + -1, + -1, + -1, + 548528467, + 355809763, + 968302517, + 129381696, + -1, + 385000887, + 764145800, + -1, + 96367522, + -1, + 673707983, + -1, + 549741277, + 726590681, + 554449552, + 184331371, + 581251278, + 570823582, + 296033526, + 517431036, + 99089484, + -1, + -1, + 921684695, + 683026806, + -1, + 757764179, + 560223423, + -1, + 303373979, + -1, + 29492517, + 641658720, + 846062306, + 27468840, + -1, + 105725743, + 30428610, + 883798356, + 392551611, + 121237116, + -1, + 446991535, + 874175897, + 162452527, + 210527243, + -1, + 513130179, + -1, + 309249107, + 753703685, + 728252927, + 77444787, + 644614703, + 98799214, + 821261540, + 655617786, + -1, + 340139079, + -1, + 890252852, + -1, + 568089045, + 512131660, + -1, + 56222052, + -1, + 356576643, + 521051028, + -1, + 655153298, + -1, + 691302353, + 718300753, + 930180770, + -1, + -1, + 357058562, + 784495066, + -1, + 814181564, + -1, + -1, + -1, + -1, + -1, + 468722832, + 439101954, + 473416308, + 550618605, + 764469355, + -1, + 238029218, + -1, + -1, + 459442600, + 407061774, + 637196716, + 675352410, + 231460699, + 986862731, + -1, + -1, + 846823804, + 512982472, + 133269319, + 305897235, + 591513235, + 615803595, + -1, + 943256412, + 486422443, + 339356954, + 571936959, + -1, + 920522903, + 743443770, + 203566588, + 40227419, + 16935506, + 547740672, + 557886588, + -1, + -1, + 532286028, + 108038579, + 349858291, + 487451961, + 687121756, + -1, + -1, + 438840231, + -1, + 404752773, + 758165303, + -1, + -1, + -1, + 687189776, + -1, + -1, + 518986595, + 71496113, + 604780123, + -1, + 445443192, + 61116193, + -1, + -1, + -1, + 636188724, + -1, + 651375753, + 772989843, + 415173116, + -1, + 407437251, + -1, + -1, + 557698560, + -1, + 824862775, + 268460674, + -1, + -1, + 364096983, + 582316448, + 481366914, + 868447886, + 723241535, + 51242095, + 996705871, + 161237329, + 532948561, + -1, + 420344874, + -1, + 671435892, + -1, + 387500254, + 655862564, + 428938254, + 650118083, + -1, + -1, + -1, + 868586010, + 427758761, + 223778397, + 618588352, + 332281062, + 398224352, + -1, + 72574926, + 599386423, + -1, + 679130202, + 377551735, + 843241445, + -1, + -1, + 28342318, + 153661607, + 442295387, + 422091450, + -1, + 34849625, + 671265566, + -1, + 931229237, + -1, + 633584437, + 169976147, + 706254583, + 503559616, + 555994320, + -1, + 829943140, + -1, + 218241987, + 940749234, + 409491179, + 712477994, + 649821401, + -1, + 879043419, + 36544729, + 897319427, + 463610149, + -1, + 376934647, + 766919958, + -1, + 562439151, + -1, + 691308355, + -1, + -1, + 306372403, + -1, + 727000117, + 273353949, + 207694807, + -1, + -1, + -1, + 439008594, + -1, + 807555098, + 855234663, + 995147249, + 585940090, + 317718993, + 404645127, + 337483997, + -1, + -1, + -1, + 304326002, + -1, + -1, + 33777105, + 51031165, + 981588611, + 855702436, + 22822053, + 520419882, + 751651229, + 406894170, + 904760122, + 815022782, + -1, + 233251446, + 938636159, + -1, + -1, + 95757045, + 864661460, + -1, + 671900721, + -1, + 145838892, + -1, + -1, + 708841752, + 595982943, + -1, + 634035782, + -1, + 164570657, + -1, + 465662077, + 594887186, + -1, + 150419507, + -1, + 743612646, + -1, + 428144775, + 848629680, + 665647493, + 644694069, + 856994045, + 475835049, + 894189095, + 842924753, + -1, + 836073155, + 330126589, + 441846545, + 382201582, + 824134263, + -1, + 132426463, + 288505629, + -1, + 819694429, + 108128114, + -1, + 147290522, + 770864043, + -1, + 898813343, + 294418795, + 823502599, + 739681610, + 717905497, + -1, + 923443172, + 5481379, + 765110343, + 531624361, + 718263511, + 483331039, + -1, + 108585281, + 593703594, + -1, + 302159818, + 933920506, + -1, + 514881249, + 577808380, + 447739733, + 859597481, + 980452289, + -1, + 244090152, + 194225416, + 207875896, + 320337997, + 653794340, + -1, + -1, + 207995389, + 217126970, + 413457769, + -1, + -1, + -1, + -1, + -1, + 110960613, + 333860709, + 174477694, + 956545379, + 622679062, + -1, + 575291873, + 365766465, + 5621974, + -1, + 832291800, + 234927166, + 517181274, + 798945227, + -1, + 753817670, + 131331409, + 393900528, + 959495547, + -1, + -1, + -1, + 261486981, + 924484925, + 535236493, + 835083928, + 513024251, + 74138005, + 193034923, + 713602886, + 915271791, + -1, + -1, + 668794084, + -1, + -1, + -1, + 744152352, + 638876968, + -1, + 637874877, + 151725828, + 464011447, + 531824401, + 660082055, + -1, + 602388007, + 142635021, + 94596637, + 693513119, + 267243141, + 940156845, + 575283188, + 214359425, + 51821229, + -1, + -1, + 872439242, + 218680840, + 52760885, + -1, + -1, + -1, + 115110141, + 441508284, + -1, + 606990803, + 358044407, + 781473101, + 854776668, + -1, + -1, + 971373897, + 583522811, + -1, + -1, + -1, + 881943880, + 465560383, + -1, + 938101183, + 180239113, + 828472555, + -1, + -1, + 520718748, + 553249736, + 413901929, + 428132612, + 989067097, + -1, + 931702388, + 555699801, + 975996590, + 75562454, + 120113188, + 456833479, + -1, + 917489405, + 109769027, + 933984603, + 520154130, + 915231723, + 524002567, + -1, + 984229203, + 84572893, + 725298502, + -1, + -1, + -1, + 748457819, + -1, + 756466918, + -1, + 489777136, + -1, + 981945424, + -1, + -1, + 977074419, + 120085307, + -1, + 786105713, + 189440485, + 539212300, + 262215938, + 528365516, + -1, + -1, + 950128351, + 43788983, + -1, + -1, + 507556286, + 420931115, + 306959665, + 431130702, + 21744568, + 393282330, + 759768718, + 338544760, + 182969611, + 160552520, + 384137368, + 60223389, + -1, + 139079660, + 453725908, + 237174836, + 101571330, + 560202735, + 871398669, + 149526602, + 451461243, + 983067821, + -1, + 620305848, + -1, + 850260600, + 96713716, + 514779178, + 183331053, + -1, + 487473630, + 398887175, + -1, + -1, + 771169728, + 343990992, + 252232350, + -1, + -1, + 497863257, + 24078587, + 43612499, + 961213187, + -1, + 717218819, + -1, + 774849056, + 589402454, + 407354214, + 238541760, + 160161557, + 552850993, + -1, + 120120500, + 132368991, + 432691599, + 198176797, + -1, + 196190960, + -1, + 247314313, + 2094993, + 630432313, + 897030312, + 265137541, + 179263278, + 643957359, + -1, + -1, + 895973622, + 703928669, + 249748240, + 462045500, + 919750241, + 639345147, + -1, + 408545702, + -1, + -1, + 767555075, + 703308533, + 403805158, + 667148942, + 240232942, + -1, + 309951116, + 495948731, + 143576854, + -1, + 769344087, + 491715280, + 497370916, + 920167842, + 61602023, + -1, + -1, + 920941826, + 327375363, + 132176457, + 818012215, + 627176516, + -1, + 443591126, + 882124372, + 679907680, + 17447529, + 993599826, + 228930787, + 443963143, + 635036689, + -1, + 959450182, + -1, + -1, + 92320476, + 404790961, + 649100924, + 535318226, + 742797720, + 198218508, + -1, + -1, + 574796849, + 148123860, + 906663441, + 255443078, + -1, + 910689320, + -1, + 981192185, + 190233399, + -1, + 200391925, + 308951501, + -1, + 716369899, + 871396717, + 674071088, + 321567889, + 808929175, + -1, + -1, + -1, + 739109262, + -1, + -1, + -1, + 923054775, + 915188519, + 340467563, + 168710679, + -1, + -1, + 434135713, + 358295133, + 421073160, + -1, + 377209918, + 758907285, + 158543304, + 300348895, + 621048330, + -1, + 964546011, + 466237695, + 907714033, + -1, + 165758706, + 788019430, + 657898488, + -1, + 775126518, + 438433505, + 540677034, + 803605040, + 812301650, + 988702727, + 524639659, + -1, + 30559378, + 798618624, + 237036347, + 319771032, + 983600989, + 696321185, + 562877699, + 188073061, + 990761292, + 676130588, + 434151799, + -1, + 247833761, + 936694589, + 139908127, + 749388141, + -1, + 76056023, + 204513516, + 604290475, + -1, + 662568304, + 229724393, + 312661275, + 64703418, + 89066293, + 927647526, + 121550326, + -1, + 127314366, + 53340882, + 988705953, + 979611594, + -1, + -1, + -1, + 278442543, + 782908177, + 88247704, + 939349003, + 467140054, + 587571551, + 726704358, + -1, + 685701607, + -1, + -1, + 597341752, + 546643739, + 920474894, + -1, + -1, + 851461761, + -1, + 856646903, + -1, + 666671481, + 884832427, + 543877611, + -1, + -1, + -1, + 212558550, + 341941158, + 257389983, + -1, + 222733390, + -1, + 394216695, + 962918188, + 910319361, + 426545958, + 50407169, + -1, + 865616323, + 758606504, + -1, + 715953709, + -1, + -1, + 65455298, + 792088619, + 850151088, + 806235201, + -1, + -1, + 705145227, + 163723359, + 324279974, + -1, + -1, + -1, + -1, + 17672823, + 944131568, + 58186357, + 255871650, + -1, + 602510088, + 616503260, + -1, + 951557918, + 351735640, + 178631505, + -1, + 542601992, + 536499903, + 332105068, + 553835968, + -1, + 379708980, + 572632170, + 950669495, + 208265629, + 459955325, + 604548680, + 806196924, + 724817195, + 604296287, + 600866873, + -1, + 863766587, + 522981677, + -1, + -1, + -1, + 207558667, + 36787096, + 529972440, + 228605785, + -1, + 374922751, + -1, + 859891531, + -1, + 263747954, + 608474914, + 326326211, + 755956258, + -1, + -1, + -1, + 289416161, + 549278499, + 85524418, + 173278765, + 692979769, + -1, + 258543259, + -1, + 32243193, + 110561345, + 155811103, + 932854247, + -1, + -1, + 98486205, + -1, + 233817240, + 572069197, + 470636614, + 885877343, + 442641637, + -1, + 248902249, + 941888234, + 32114609, + -1, + -1, + 856332329, + 868568937, + 375224932, + 566435485, + 162626734, + 6460877, + 267630279, + -1, + -1, + 136148247, + 345955175, + 513940382, + 223055541, + 453815081, + 498461490, + -1, + 443438021, + 849533626, + 517931544, + 946622571, + 955272557, + 613405943, + -1, + -1, + 698837855, + 864851368, + 886459179, + 459910939, + 700005700, + 460291545, + 778790045, + -1, + 987004393, + 409768153, + 618833000, + 281761476, + 348863109, + -1, + 525900478, + 853494194, + 663327315, + 783608927, + 668592887, + 139210659, + 408567151, + 840753563, + 722972536, + -1, + 590146845, + -1, + 588385013, + -1, + 993072229, + 337978876, + -1, + 428994378, + -1, + -1, + -1, + 324964049, + 666187083, + 83711295, + 109971275, + 917776045, + 761887738, + 398159879, + 16888035, + 499216384, + 831158442, + 789522190, + -1, + -1, + 280348842, + 453541648, + 611978076, + -1, + 436913050, + 210323850, + 670918283, + 199417208, + 963676748, + -1, + -1, + 243436248, + 883386304, + -1, + 437542125, + 535565332, + 256467341, + 189343970, + 972843838, + 317955565, + -1, + -1, + -1, + -1, + 417887237, + 964327572, + 954361329, + -1, + 30894873, + -1, + 54161079, + 846962710, + 454397314, + -1, + -1, + 47641460, + 196712893, + 567356159, + 696956475, + 571941318, + -1, + 898609153, + 714530404, + -1, + 38234791, + 572033298, + 365772734, + -1, + -1, + 558123425, + -1, + 45391020, + -1, + 183217998, + 311160885, + -1, + 269832296, + -1, + 997907656, + 463898963, + 620509432, + -1, + 495628825, + 561699614, + 705541330, + 478277767, + 682149106, + -1, + 718758425, + -1, + 826915837, + 125045306, + 220885159, + 759080600, + 615500672, + -1, + 339321158, + 180215395, + -1, + 779083244, + 430743751, + 900157776, + 34002861, + 644783899, + 719268253, + 741297038, + 909063493, + 842410781, + -1, + 178508703, + -1, + 838529294, + 887396736, + 240143912, + 242004650, + 874750545, + 740828741, + 379771075, + 907397197, + 466637813, + 349061240, + 990616929, + 714736461, + -1, + -1, + 402182577, + 266839816, + 446673734, + -1, + -1, + 594572613, + -1, + 729912645, + 157025097, + 721152603, + -1, + -1, + -1, + -1, + 351394641, + 785478860, + -1, + 92460342, + 859660238, + 717469310, + 393829057, + 567289244, + 745293889, + -1, + 714493581, + 243037848, + 756187030, + 500077033, + 22136887, + -1, + 147011092, + 17504915, + 470346636, + -1, + 851187651, + 587698052, + 677770604, + 309066631, + 654566923, + 846150946, + -1, + 749225330, + -1, + 876698191, + -1, + 817046160, + 337006858, + 961908989, + -1, + 731805012, + 486474871, + -1, + 135167591, + 839013430, + -1, + 998121989, + 168238808, + 579490861, + -1, + 417422085, + 322190817, + -1, + 910064926, + 745682914, + 637244606, + -1, + 421948573, + 335809291, + 409983640, + -1, + 14049625, + 758120389, + -1, + 454734074, + 342458954, + 275267372, + 280815653, + -1, + 517682543, + 891259080, + 229387187, + 646150188, + 683024659, + 645638086, + 688335388, + -1, + 554153799, + 311550011, + 60530509, + -1, + 706040146, + 204313168, + 533879889, + -1, + 776391397, + 504298654, + 845357489, + -1, + 671726114, + 525363653, + 838758078, + -1, + 220714659, + 326692674, + 327690342, + -1, + 481253118, + 872759799, + 156940688, + -1, + 595328324, + 321403462, + -1, + -1, + 563928710, + -1, + -1, + 63577161, + 464368485, + 779696454, + 65156525, + 591355395, + 581564112, + -1, + 6609746, + 774242375, + -1, + 12617808, + 880530079, + 922658472, + 253807191, + 977878005, + 973260843, + 580801090, + 914691175, + 268343061, + -1, + 620124992, + 275677142, + -1, + 907338619, + -1, + -1, + 30725081, + 46620108, + 120738104, + 148354235, + 843972769, + 814505607, + 632085249, + 308556412, + 543967688, + 97191953, + -1, + 733630955, + 165794848, + 620599242, + 724501451, + -1, + 304983593, + 27817716, + 116875354, + 235073457, + 836044, + -1, + -1, + -1, + 134702160, + 693865094, + 315855325, + 919100957, + -1, + -1, + 4482251, + 942157168, + 159909006, + -1, + 548718640, + 483701263, + -1, + 897521900, + -1, + 286867568, + 655865915, + -1, + 640457297, + 868572770, + 558933038, + -1, + 369657281, + 591196170, + 630437476, + -1, + 50366338, + 381243015, + -1, + 10630571, + 249388417, + 850918665, + -1, + -1, + 287733515, + 445346313, + 613477919, + -1, + 848371628, + 386050557, + 337005466, + 509231292, + 891081201, + 258171687, + 106865366, + -1, + -1, + -1, + 441255310, + 674826267, + 239856922, + 282633363, + 16716637, + 797292000, + 939500790, + 525952858, + -1, + 584887611, + -1, + -1, + 444896546, + -1, + 957634484, + 507784786, + 487856283, + -1, + -1, + 265709303, + -1, + 176360300, + 166694605, + 679741874, + 60483681, + -1, + 956793179, + 949762406, + -1, + -1, + -1, + 229461438, + 300416088, + 510540793, + 321553150, + 405758719, + 450244978, + 912079261, + 654044614, + 267640048, + -1, + 842574579, + 208437584, + 35777633, + 955467128, + 133195534, + 286708456, + 625421805, + -1, + 787926428, + 642922427, + 382325449, + -1, + -1, + 191983230, + 367526721, + -1, + 233155465, + 742517469, + 656995107, + -1, + 257356215, + 130939454, + 526212176, + 660593572, + 497239992, + -1, + -1, + 464359273, + 152706477, + -1, + 641214678, + 259700724, + 329091519, + -1, + 745803843, + 65911393, + 649896027, + 916115631, + 985272893, + 631230979, + -1, + 502108259, + 20486436, + 896396195, + 527313357, + 191802620, + -1, + 657081425, + 593324927, + 918347085, + 48869165, + 489126790, + -1, + 70365484, + -1, + 14236954, + 158741540, + 643427602, + 313636890, + 136744520, + -1, + 556313907, + 391709892, + -1, + 182366270, + 306870537, + 726454406, + 828038254, + 445961858, + 95153871, + 396689641, + 937032652, + 994220275, + 27473425, + 612276809, + 413250493, + -1, + 474150647, + 334050466, + 583736802, + -1, + -1, + -1, + 769776636, + 419018846, + -1, + 158220479, + -1, + 754103721, + 216797438, + 325202459, + -1, + 465098797, + 490837825, + -1, + 750622542, + -1, + 301638024, + -1, + 80146686, + 174983850, + 30534737, + -1, + 598529442, + 128683531, + 270360716, + 787869666, + 231853961, + 782972728, + 176500365, + -1, + 427003775, + -1, + -1, + 894626076, + 504907385, + -1, + 270729625, + 277917826, + 591895535, + 79258544, + 554244492, + 614242793, + 591107693, + 543718167, + -1, + 374541265, + -1, + 839444466, + -1, + 658369641, + 513260899, + 942594930, + 688158714, + 767291310, + -1, + 543488019, + 869677473, + 896026038, + 600305861, + 21367046, + -1, + 846598694, + -1, + 782141255, + 763977800, + 197886270, + 873610064, + 224385021, + -1, + -1, + 513008238, + 795576885, + 858602712, + 88678353, + 423084866, + 864161261, + -1, + 907119872, + 569099522, + 523930782, + -1, + 503900301, + -1, + 157768655, + -1, + 131647853, + 250805441, + 3091895, + 424806358, + 807043010, + 905295278, + 428228752, + 651580982, + 949377458, + 21141122, + 382973753, + -1, + -1, + 107778539, + 414460011, + 597027308, + -1, + -1, + 247183117, + 849874417, + -1, + 383968645, + 400339565, + 315969535, + 455712708, + 3586192, + 480910086, + 307539030, + 611810553, + 768240371, + -1, + -1, + -1, + 276663319, + 912720144, + 73522733, + -1, + -1, + 897496696, + 507954451, + 249053632, + 752102533, + -1, + 957397082, + 62239315, + 50334568, + 470417639, + 504980125, + 348995606, + 292216309, + -1, + 4937908, + 237631180, + 782547002, + -1, + 315261654, + 83500416, + -1, + 492254145, + 368801455, + 226587254, + 480191745, + -1, + -1, + -1, + 169975751, + -1, + 711150736, + 161358233, + 597673163, + 852412019, + -1, + 624769026, + 284310796, + -1, + 434529831, + -1, + -1, + -1, + -1, + 246989264, + 275953359, + 809813611, + 102429285, + -1, + 552224256, + 982729346, + 629144571, + 239846628, + 914983969, + 333122850, + 549941700, + 660446423, + 899069531, + 236791693, + -1, + 232783630, + -1, + 565962664, + 443885970, + 192445171, + -1, + 928455334, + -1, + 254057479, + 397251032, + 512636965, + 806004925, + -1, + 978030408, + -1, + -1, + 114294997, + 303642185, + 358204287, + -1, + -1, + 457363219, + 34600332, + -1, + 653592544, + -1, + -1, + 753926668, + 282143764, + 393700900, + 596465024, + -1, + 868312433, + 877697732, + 184296284, + -1, + 215680913, + 561485285, + -1, + -1, + 676449887, + 463851777, + 683233767, + 905368954, + 512863409, + -1, + 935623482, + 76692439, + 244242850, + 460914102, + 806037164, + 517528295, + 955071710, + 326933062, + 338676275, + -1, + 211515104, + 360911863, + 119582396, + 72855417, + 717271517, + 316345293, + 391188652, + -1, + 66550138, + 102049501, + 579052053, + -1, + 679360700, + 833391499, + -1, + 976578238, + 716785257, + 647394982, + 466448517, + -1, + -1, + 699327733, + 526841494, + 587593519, + -1, + -1, + 4122070, + 706944136, + 176091575, + -1, + 285889423, + 118126910, + -1, + 277401907, + -1, + -1, + 903905063, + -1, + -1, + -1, + 937395167, + -1, + -1, + 843556342, + -1, + 113576251, + -1, + 470434470, + -1, + -1, + -1, + -1, + 980224766, + 8536265, + -1, + 294934153, + 670582490, + -1, + 58324368, + 402833414, + 170878426, + 708045987, + -1, + 915498507, + 923595607, + -1, + 879310506, + -1, + 875729578, + 137781839, + -1, + -1, + 963439448, + 141923997, + -1, + 836733258, + 930531888, + -1, + 60518629, + 229625643, + 675701428, + -1, + 569078376, + -1, + 184848881, + -1, + 902499073, + 859203066, + 856800290, + 993440828, + 795434365, + 811550686, + 415306772, + -1, + 543894848, + 12138467, + 449796077, + 323523339, + -1, + 664407701, + 384526457, + -1, + -1, + -1, + 330562501, + -1, + -1, + -1, + 990704066, + 467861222, + -1, + -1, + 651783228, + 182648972, + 265536147, + -1, + 862091763, + 621499289, + 682153342, + -1, + 385622961, + -1, + 713417906, + -1, + 819055010, + 254415714, + 334456956, + 741867978, + 128820568, + 249425230, + 210649617, + -1, + 795684902, + 319957435, + 596598466, + 599838272, + -1, + -1, + 300252029, + -1, + 170997796, + 146978335, + 375877826, + 278445780, + 437461011, + 967366048, + -1, + 348018381, + 631979320, + -1, + 600957385, + 953164236, + 629992819, + 248248418, + -1, + 825082545, + 175216267, + -1, + 861147395, + 265940273, + 380867919, + 512709045, + 330439661, + 164153896, + -1, + 484986765, + -1, + 737240904, + 574013272, + 21836359, + 609888560, + 868777796, + 607639920, + 831694106, + 772037813, + -1, + 246371888, + 932529044, + 903344765, + -1, + 41931915, + 367733845, + 415634235, + -1, + 973962796, + 160474260, + 258402059, + 629169439, + 356139940, + -1, + 395116004, + 993415537, + -1, + 85414231, + 674745017, + 357897773, + 71738213, + -1, + 435290021, + 156058252, + -1, + -1, + 516037163, + 292171594, + 588543909, + 467268746, + 337373424, + 323235292, + 393192032, + 96115221, + 984860910, + 859681846, + 146936975, + 202339117, + 41838551, + 786905804, + -1, + 905647363, + -1, + 59998573, + 34463871, + -1, + 969206293, + -1, + 613847473, + -1, + 660907373, + 617817248, + 368748411, + 6349409, + 587267849, + 487347087, + -1, + 948827974, + 681097184, + -1, + 879241588, + 561048598, + 679868430, + 996141375, + 336451525, + 687292821, + 964171654, + 953904511, + 800257519, + -1, + 116404812, + 694881476, + -1, + 147210057, + 389275531, + 124948641, + 774448046, + 364284236, + 462408402, + 278096213, + 819965194, + 780687115, + 622734623, + -1, + -1, + 89666564, + -1, + 617607392, + 531419720, + -1, + 657096976, + 349490149, + -1, + 661942171, + 449118340, + 805157659, + 529921530, + 668360268, + 566421598, + 639028674, + -1, + -1, + 267808008, + -1, + -1, + 311274594, + 102533562, + 630727968, + 241649954, + 908185672, + -1, + -1, + -1, + 35987573, + 900170151, + 892734308, + 317140159, + -1, + -1, + 729756534, + 577088953, + 109885168, + -1, + -1, + -1, + -1, + 479096603, + 935844793, + 642493833, + 228874170, + 749738860, + 553312982, + -1, + 295447851, + 533318245, + 258300286, + 670101667, + 909839046, + 773605218, + 150702901, + 788588852, + -1, + 649442246, + 944453579, + 67457098, + 883110479, + -1, + 314857421, + -1, + 894247304, + 716697745, + 424487665, + 824519614, + 87106815, + 948089357, + 737573333, + 151931957, + 326366939, + -1, + 371392101, + 4546864, + -1, + -1, + 810025953, + 655060284, + 520000777, + 333082423, + -1, + -1, + -1, + 613963435, + 682687268, + 942700745, + 647308115, + 825649872, + -1, + 498231317, + 622168407, + 215928106, + 759099733, + 217192227, + 100069732, + -1, + 686830793, + -1, + -1, + 782535321, + 497766307, + 276297702, + 478368199, + 883156385, + 259165100, + 677965688, + 498934781, + 796638742, + 837080428, + 515304342, + -1, + 52620504, + -1, + -1, + 578228759, + 79868809, + 363451861, + -1, + 989395917, + 5211508, + 646053797, + -1, + 953349617, + -1, + 664226754, + 936925990, + 177945642, + 928104469, + -1, + 806818298, + 23080036, + -1, + -1, + -1, + 790721900, + 896007331, + -1, + -1, + -1, + -1, + 606574866, + -1, + 638475459, + 755059365, + 584500264, + 393233159, + -1, + 902072981, + 550029751, + 293499756, + 510436180, + 215942465, + -1, + 577948818, + 81053814, + 453427199, + 923957774, + 951357171, + 119386619, + 929916339, + 667589187, + 997671340, + 90557952, + -1, + 229397764, + 183751820, + -1, + 593802054, + 493846311, + 511871984, + 986539149, + 997274800, + 195126759, + -1, + 87649358, + 594936709, + -1, + 983989356, + 155175389, + 152288976, + 355567940, + 88622978, + 738765207, + 65112127, + 801799043, + 877455163, + 652404748, + 986234449, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 190011399, + -1, + 577102560, + 536049238, + 419455490, + -1, + 794247118, + -1, + 309975590, + 831226891, + 591830386, + -1, + 611701717, + -1, + 780669887, + 266726689, + 319264448, + 806164868, + -1, + 837397281, + 568433951, + 643656574, + 895105099, + -1, + 288595551, + 7191624, + 638242959, + -1, + -1, + 690375612, + 42607563, + 683932195, + -1, + 824261119, + 964061696, + 628975702, + 660375187, + 131882125, + 955898692, + 980033375, + 558809673, + 769908827, + 209838250, + -1, + 107943796, + 352289253, + -1, + 128612256, + 637963833, + 923711129, + 699925383, + -1, + -1, + 529898006, + 631125971, + -1, + 66348555, + 895374581, + -1, + 818580660, + -1, + -1, + 126585110, + -1, + 206017431, + -1, + 92532952, + 227037659, + 579159608, + 616573155, + 356558428, + 944075815, + 169602072, + 661657017, + 535800943, + 395546385, + 578947558, + 708500147, + 216019035, + -1, + 414550009, + 835567433, + 416652581, + -1, + -1, + 549025500, + 683367372, + -1, + 121181742, + 809842134, + -1, + -1, + 59097449, + 27756400, + 840893667, + 699150947, + 634009531, + 977051336, + 643034769, + 334825565, + -1, + 675260397, + 876114596, + 954376701, + -1, + -1, + -1, + 476293056, + -1, + 920036227, + 927670094, + 375972821, + 950489687, + 894996484, + 513123444, + -1, + 387826280, + -1, + 750987121, + 773535418, + 493532408, + 846369648, + 665646927, + 428642183, + 679972177, + -1, + -1, + 561071407, + -1, + -1, + -1, + 785759774, + -1, + 702804020, + -1, + 703726491, + -1, + -1, + 332798966, + 71220321, + 246089977, + 503386139, + -1, + -1, + 606743316, + -1, + 421174327, + 957395711, + -1, + 942737262, + 492978361, + 48938643, + 940064029, + -1, + 824560154, + -1, + -1, + 961547559, + -1, + -1, + 213376488, + 237695835, + -1, + 884542102, + 182095408, + 295648785, + 711040393, + 138979273, + 996886504, + -1, + 320249698, + -1, + 611611619, + 7047793, + 943986114, + 840060858, + -1, + 965471893, + 475429275, + 950991649, + 747684054, + 912656815, + 121030899, + 283881814, + -1, + 780321716, + -1, + 795972605, + -1, + 423514219, + 17733505, + -1, + -1, + 758001785, + -1, + 21545878, + 972445960, + 880968311, + 342231143, + -1, + 732669394, + -1, + -1, + 695131926, + 799250640, + 654822934, + 675394758, + 140158979, + 779819717, + -1, + 825534060, + 94843688, + 492106489, + 758647602, + -1, + 350368024, + 879143985, + 501404925, + 555403836, + 314623134, + -1, + -1, + 230128647, + 762842724, + 221860654, + 394424010, + 843344130, + -1, + 192714422, + -1, + 281001123, + 335196311, + 267029670, + -1, + -1, + 6156567, + 991068933, + -1, + 2187830, + 768433138, + -1, + 651987180, + 227882286, + 794572036, + -1, + -1, + -1, + 373496614, + 427729167, + 219849942, + 666494236, + 564263040, + 738188504, + 261150384, + -1, + -1, + 622810623, + 979985424, + 608884483, + -1, + 139770884, + 917379288, + -1, + 415265586, + -1, + -1, + -1, + 603219042, + -1, + 803206351, + -1, + -1, + 548419463, + -1, + 149428637, + -1, + 442342960, + 608690430, + -1, + 668386645, + -1, + 347250498, + 780196975, + 173561398, + -1, + -1, + 731103400, + 75461575, + 88046018, + 648426167, + 301228228, + 223435751, + -1, + 964337196, + 789675860, + 512593901, + 491008184, + 143119188, + -1, + -1, + 311053714, + 283604074, + 415077092, + 973883930, + -1, + 409410153, + -1, + 542849045, + 661724081, + 964914849, + -1, + 432449069, + -1, + 11302461, + 951153535, + -1, + 831908513, + 861055141, + 25862089, + -1, + 805774480, + 609830438, + 521168722, + 757471613, + 399336245, + -1, + 841412266, + 754007901, + 782747204, + 625446869, + 735065709, + 797678707, + 546636282, + 925668855, + 807108620, + -1, + -1, + -1, + -1, + -1, + 729461322, + 500094359, + -1, + 569883723, + -1, + -1, + -1, + 504950752, + -1, + -1, + 133297898, + 645316197, + -1, + 139119129, + 631173998, + -1, + 983842259, + 675139528, + -1, + 137445060, + 325693263, + 494478179, + 814442724, + 658675786, + 225282399, + 135195105, + 809339344, + 922384365, + 792877486, + 214669310, + 653253072, + 682165712, + -1, + -1, + 294630821, + -1, + 924656467, + 441842571, + -1, + 178666825, + 828261626, + 481775525, + 411664094, + 968326944, + -1, + 365243973, + 457467145, + -1, + -1, + 842520006, + 679261940, + 419267516, + -1, + 543157635, + 119027482, + 327678960, + 32166056, + 560942314, + 763478923, + 189430711, + 795195632, + 399624934, + -1, + 958049141, + 480598519, + 992292710, + 845905105, + 232101361, + 889604063, + 901821808, + -1, + 468166851, + 888996855, + -1, + -1, + 740600530, + 356196302, + 660535283, + -1, + 966724146, + -1, + -1, + 28154959, + 770979720, + 12535336, + 377088809, + 600282933, + 111968909, + 69689532, + 521696252, + 637146844, + -1, + -1, + -1, + 215016064, + -1, + -1, + -1, + 970366772, + 491671283, + 235579900, + -1, + 374911891, + 894279300, + -1, + 873660457, + 737751746, + 864345458, + 216134834, + 442119129, + -1, + 99247568, + -1, + -1, + 887629692, + -1, + 208614433, + 217085753, + 65410129, + 760001812, + 360775006, + 94140724, + -1, + 33894035, + 679183272, + 587628055, + 516196548, + 647388211, + -1, + 519363331, + -1, + 216886927, + 748876048, + -1, + 537215550, + -1, + 280421929, + 600947435, + -1, + -1, + 850511340, + 187180198, + -1, + 260015523, + -1, + -1, + 999402157, + 723490701, + 228493819, + 995630144, + 436101181, + 318233135, + 430041519, + 897365707, + 85652404, + -1, + -1, + 818119399, + 869436044, + 749322540, + 869801532, + 94559255, + 645075416, + 179895728, + 515236145, + 782902593, + 942004242, + 217375064, + 322195434, + 404478830, + -1, + 956992432, + 405950636, + -1, + 525307202, + -1, + 827895502, + 838307434, + -1, + -1, + -1, + 914007398, + 120028990, + -1, + 34438426, + 83961528, + -1, + 695978075, + 795945527, + 426823034, + -1, + -1, + 3682097, + -1, + 342108794, + 733931278, + 295069809, + 551898070, + 141009557, + 909158032, + 163552814, + 923777991, + 938586238, + 37712661, + 855514257, + 203049877, + 777687652, + 395385516, + 567510876, + 485571350, + 342025629, + 380732695, + 146898093, + 918279295, + -1, + 338635379, + -1, + 330174186, + 84619768, + 728613364, + 26942615, + -1, + 854194543, + 768045965, + 255004134, + -1, + 499856482, + -1, + 926219615, + -1, + -1, + -1, + 529384975, + 178979530, + -1, + 792098569, + 103575687, + 21681507, + 897583621, + 352339139, + 442143732, + 656948412, + -1, + 187088092, + 222080715, + -1, + -1, + -1, + 765108950, + 335575299, + 793768409, + 394172884, + 477630094, + -1, + 635596372, + -1, + 846313588, + -1, + 734534989, + 437506303, + -1, + -1, + 328105716, + 36519376, + 409988716, + 186738942, + -1, + 636201501, + 160960668, + -1, + 208506408, + 369962225, + 897724884, + -1, + 34591471, + 731899941, + -1, + -1, + 434264715, + 832843118, + 815458547, + -1, + -1, + -1, + 17295196, + 576621403, + 981659954, + 632827814, + 544795337, + 46455510, + 37772367, + 428843859, + -1, + -1, + -1, + -1, + 39203659, + 949556404, + 299196726, + 217423079, + 608621639, + -1, + 423432182, + 525017843, + -1, + 26628480, + -1, + -1, + 731554285, + 487292079, + 88801156, + -1, + -1, + 303220916, + 215280994, + -1, + 468937046, + 915585336, + -1, + 82679208, + 699459386, + 932360083, + 810982195, + 889097609, + -1, + 792219729, + 941718039, + 656341978, + 422108334, + 493949725, + 291155470, + 200619907, + -1, + 132382491, + -1, + 180305998, + 244909515, + 592393287, + -1, + 550760074, + -1, + -1, + -1, + -1, + 760483893, + 325365078, + 866030047, + 648514855, + -1, + 187060620, + 851502903, + 280505813, + 404819885, + 662052981, + 756375747, + -1, + -1, + 829755793, + -1, + 923746249, + -1, + 805670411, + -1, + 285902609, + 251934673, + -1, + -1, + 642544394, + 376737163, + 564894662, + -1, + -1, + 39399070, + 737991851, + 54161954, + 710854309, + 559417840, + -1, + 90385552, + 978916961, + 255096716, + 339019174, + 799851897, + 964753347, + 103898322, + 766313344, + 933762712, + 433220227, + -1, + 517975260, + 481638484, + 623471030, + 445255210, + 509788644, + 495565569, + 169735486, + -1, + 831743069, + -1, + 86136841, + -1, + -1, + 426672941, + 491028638, + 392389818, + 641668422, + 926685560, + 246063693, + 608694579, + 747310814, + 659286919, + 883332570, + 759969321, + 933674054, + -1, + -1, + 132751854, + 554194703, + -1, + -1, + 946213304, + 225576352, + -1, + -1, + 379060644, + -1, + 378547417, + 602679759, + 35241586, + 215402206, + 405012369, + 64073564, + 573722708, + 955701150, + 198306230, + -1, + 380341898, + 272142669, + 916938964, + 935197750, + -1, + 162094406, + 483294671, + 284066451, + 743107235, + 921904466, + 57775891, + 659014597, + -1, + 396392846, + -1, + 317150245, + 190609861, + 375509894, + -1, + -1, + -1, + 532113122, + 69974099, + -1, + 716811167, + 499163015, + 11670465, + 444638541, + 909488007, + 735570223, + 63526961, + 195559216, + 35074936, + 31885973, + 928043991, + 312949597, + 989373669, + 366214988, + -1, + 501301629, + -1, + -1, + 588866472, + 803545273, + -1, + 671486895, + 389017931, + 304383930, + -1, + -1, + 249982825, + 697797110, + 310600355, + -1, + 68610557, + -1, + 919770113, + 756701318, + -1, + 443314468, + 337100898, + 178844509, + 853140979, + 382609158, + 209371378, + 342346029, + 342211948, + 323961306, + -1, + -1, + 952412497, + 769561937, + 442928681, + -1, + 418287755, + 229525879, + -1, + 178732870, + -1, + 380396841, + -1, + 851157823, + 266393344, + 805692804, + 250590408, + -1, + 198861002, + 808878879, + 164183624, + -1, + -1, + 930864071, + 133776922, + 578390583, + 673517601, + 247281684, + -1, + -1, + 770940089, + -1, + 567993856, + 641765949, + 477783143, + 434791846, + 260123904, + 94885382, + -1, + 387594261, + 543850633, + 929446568, + 374665506, + 792193590, + 500366833, + 931470674, + 186554519, + 422144161, + 901369456, + -1, + -1, + 463419912, + 818203332, + 54725598, + 870437123, + 824183458, + 863715761, + -1, + -1, + 484998401, + 151059009, + 90154678, + -1, + -1, + -1, + 963855790, + -1, + -1, + 660579435, + 233514275, + 104357270, + 441856405, + 194097414, + 476008093, + -1, + 334361319, + -1, + -1, + -1, + -1, + 616359761, + -1, + -1, + 785656963, + 315249361, + 362163572, + 250651691, + 143995226, + 937024788, + 539764192, + 919937129, + 512034700, + 330187012, + 798531467, + 538628858, + 22723263, + 161922312, + 57360582, + -1, + 971541716, + 715620718, + 235368141, + 888915467, + -1, + -1, + 408653286, + 619492976, + -1, + 285707721, + 739409175, + 462367926, + -1, + 287513165, + 629445853, + 528085491, + 375001984, + 194215752, + 135081308, + 62244406, + 309953425, + 557753850, + 108241104, + 902249568, + 624660597, + -1, + 456167493, + -1, + -1, + -1, + 440439899, + 157448376, + 650763565, + 87361824, + 142150533, + 14946742, + 492409640, + -1, + 711786702, + -1, + -1, + -1, + 197145683, + 834464151, + 980109879, + -1, + -1, + -1, + 16117667, + 10547861, + 67239088, + 142229225, + -1, + -1, + 461166648, + 612324787, + -1, + -1, + 4575768, + 237860835, + 326807216, + 470236844, + 469313155, + 330464444, + -1, + 46759321, + 507152277, + 653320409, + -1, + -1, + 74680360, + 712177882, + 336343700, + 749945874, + -1, + 819732430, + 647922283, + 702340681, + -1, + -1, + -1, + 529741830, + -1, + -1, + -1, + -1, + 87535278, + -1, + -1, + -1, + 832539553, + 100579652, + 753461736, + -1, + -1, + -1, + 425096017, + -1, + 540715209, + 265018024, + 165999980, + 363330996, + -1, + 378775277, + 34545955, + -1, + 191787157, + 979263630, + 17544060, + 499719077, + 219178094, + 552689466, + -1, + 738323369, + 243336113, + 464595103, + -1, + 918874243, + 981398559, + 708799766, + 721686537, + 208094445, + 100252048, + -1, + -1, + -1, + 492071953, + -1, + -1, + -1, + -1, + -1, + -1, + 739550168, + 984124643, + 570780917, + 367112194, + 629730460, + 741432809, + 359214066, + 962841560, + -1, + 593616386, + -1, + 180515717, + -1, + 884835605, + 946705270, + 102724011, + 268358737, + 988191422, + 423833408, + 943294878, + 909400403, + 674496204, + 944292374, + 351507725, + 617387111, + 878405595, + 551680433, + 55235560, + 677648625, + 307957798, + 910719527, + 986880987, + 89545444, + 978373504, + 58151399, + 691898577, + -1, + 989843714, + 712942295, + -1, + 17234225, + -1, + -1, + 849484014, + -1, + 909897097, + -1, + -1, + -1, + 557527688, + 718054519, + 648819954, + -1, + 698759342, + 276160953, + -1, + -1, + 466482629, + -1, + 352964229, + 724784767, + 165437519, + -1, + 502952072, + 689384078, + 495037056, + 161282991, + 849362292, + 213653030, + 121729226, + -1, + 949725348, + 387580181, + -1, + -1, + -1, + 147166013, + 238386713, + -1, + 126380361, + 940817194, + 723352630, + 644043935, + -1, + 69729908, + -1, + 239333651, + 972129742, + -1, + 490077491, + -1, + 322357674, + -1, + -1, + -1, + 908225047, + 649667822, + -1, + 61487167, + 185906636, + 211234028, + 224436277, + 131634223, + 520359538, + 557364091, + 262007194, + 2461019, + 30301050, + 896291609, + 694063402, + -1, + -1, + -1, + 244065398, + -1, + -1, + 22335105, + 824830124, + 686560770, + 707617326, + 576393615, + 894941510, + -1, + 395338954, + 218320563, + -1, + -1, + 195362668, + 242911133, + -1, + 829511924, + -1, + 263570326, + 395138702, + 884776303, + 77214721, + 740886199, + 90327358, + 486286182, + 245018194, + 295456224, + 528508880, + 186795243, + -1, + -1, + 709001497, + -1, + 263639230, + 176074680, + 24309828, + 817105020, + 799329518, + 468777870, + 634558473, + 408033663, + -1, + -1, + -1, + 989214879, + 147497147, + 774352307, + 815231391, + -1, + -1, + 282011329, + -1, + 223032145, + -1, + 751484974, + 510763182, + 106896785, + -1, + 382603768, + -1, + 685197289, + 470865619, + 994939168, + 413078731, + 152913038, + -1, + 294464056, + -1, + -1, + 309565198, + 948214557, + -1, + 74154798, + 527945335, + 355641962, + -1, + 7198805, + -1, + 636151357, + 369132833, + 330500956, + 885314820, + 617526651, + 678044641, + 991071093, + 326522254, + 682682363, + 434902613, + 689636108, + -1, + -1, + 647768661, + 21119653, + -1, + -1, + 359821275, + 497752461, + -1, + 22262997, + 48779118, + 224634113, + -1, + -1, + -1, + 773214609, + -1, + 40341113, + 623322297, + -1, + 856920430, + 560375647, + 991038794, + 712594056, + -1, + 463469927, + 218796752, + -1, + 127567971, + -1, + 718985786, + -1, + 940238558, + 512281603, + 573358560, + 64676130, + -1, + 348268302, + 137338087, + 363424896, + -1, + 38204240, + 692141290, + 11319177, + 40242390, + 767010937, + 585591007, + 926090636, + -1, + -1, + 260850536, + 535889311, + 305113103, + 790952470, + 334988866, + 968346178, + 894273637, + -1, + 275090505, + -1, + -1, + 738445072, + -1, + 573106449, + -1, + -1, + -1, + 899791733, + 101763957, + 46024982, + 658462530, + 988193977, + -1, + 439625030, + 447923692, + 355154855, + -1, + -1, + 378627229, + 921432817, + -1, + 941606990, + -1, + -1, + 167388154, + -1, + -1, + 352940047, + -1, + -1, + -1, + 892533595, + 125250357, + 207829802, + 829861114, + 977358983, + 834933188, + -1, + 275554450, + 800804269, + 446268316, + 275927448, + 875133046, + -1, + 493645252, + 930361833, + 155857274, + 473445098, + 276608785, + -1, + 734894846, + -1, + -1, + 324368265, + 118464527, + 733789486, + 448947139, + -1, + 927436858, + 666328500, + 800762403, + 764992915, + 219162258, + -1, + -1, + 622926416, + 618363483, + -1, + 492971545, + 50717021, + 346314174, + 969166422, + 46113328, + 200739843, + -1, + 939949279, + -1, + 246157261, + 480078290, + -1, + -1, + -1, + 285909932, + -1, + 843344117, + -1, + 481911797, + 459263266, + 820581066, + -1, + 504617139, + 140148122, + 871562145, + 953980207, + 980181989, + 369847050, + 461534227, + -1, + 815055317, + 950290675, + 281111642, + 768825677, + 334985676, + -1, + 78782052, + -1, + -1, + -1, + 48288764, + 1737798, + 604536780, + 103006888, + 274715030, + -1, + 190182433, + -1, + -1, + 230548168, + 954967908, + -1, + 855118835, + 667057612, + 590311786, + -1, + 821629222, + 83125544, + 416926080, + -1, + 997139351, + 182200133, + 668862154, + -1, + -1, + -1, + 105027090, + -1, + 484362947, + 223129492, + -1, + 307506245, + 232426422, + 47467067, + 705390085, + 497858322, + -1, + 308860440, + 758553207, + 789149872, + 73263710, + 905067990, + 984945463, + -1, + 124284850, + -1, + -1, + -1, + -1, + 203169322, + -1, + 128795686, + 879426035, + 162528344, + 173907787, + 957146134, + 26050603, + -1, + 352430888, + -1, + -1, + -1, + -1, + -1, + 33099490, + 309518177, + -1, + 204208972, + -1, + 114220185, + -1, + 469521805, + 913891375, + 795442344, + -1, + -1, + -1, + -1, + 569310493, + 219016343, + -1, + 646961894, + 507315691, + 855010648, + -1, + 655112445, + 346819177, + 394854980, + -1, + -1, + 350870616, + 196395445, + 279752736, + 823058852, + -1, + 780552366, + 877869684, + -1, + -1, + 898045509, + -1, + 382105207, + 118619197, + 281771746, + -1, + -1, + 520012439, + 882753917, + 733930643, + 193010141, + -1, + -1, + 922563208, + -1, + 262955930, + -1, + 119246406, + 484589407, + -1, + 649565478, + 519948153, + 843960804, + 910551266, + 6406786, + 477243076, + 222456595, + -1, + 377506552, + 426603327, + 651337638, + 108735123, + 801011717, + 791748546, + 46233969, + 773673033, + 167226179, + 379243745, + -1, + 869964627, + 441633572, + -1, + 423715325, + -1, + 890489324, + 571728091, + 834167101, + 362205866, + 361829807, + -1, + 411673007, + 298958798, + 368722267, + -1, + 141889199, + 891037915, + -1, + 912732134, + -1, + 575217462, + 202068597, + 728679617, + -1, + 992273205, + 642750298, + 321308791, + 97354942, + 5334531, + -1, + -1, + -1, + -1, + -1, + -1, + 311833295, + 920215437, + 264828367, + 589561529, + -1, + 145888245, + -1, + 663287082, + -1, + -1, + -1, + -1, + -1, + 530950970, + 631847423, + 860392580, + 54830713, + 214208511, + -1, + -1, + 599289215, + -1, + 85206793, + 497652817, + 746524498, + 550889434, + -1, + 556486269, + 499620117, + -1, + -1, + 455161003, + 631514616, + 97602300, + 802830899, + 608548907, + 944562989, + -1, + 200022332, + 867398641, + 870686290, + -1, + 249919082, + 204071426, + 489579709, + -1, + -1, + 791474196, + 884444926, + 8889859, + -1, + 340645271, + 542611283, + 548081261, + 95768932, + 736624149, + -1, + 151255030, + -1, + 29294142, + 258264805, + 500430521, + 60015233, + -1, + 518594854, + 577429491, + 731206445, + 385053838, + 886316305, + -1, + 856893886, + 321743555, + 769313409, + -1, + 474603125, + 95192990, + 447769130, + 402085400, + 60471742, + 211989360, + 789127949, + 938623228, + 835069972, + 297183359, + 35357143, + 687621789, + 529984629, + 600072276, + -1, + 506121248, + -1, + -1, + -1, + 986910163, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 22933876, + 340043676, + 564309875, + 624495839, + 366371069, + 805426483, + 757785001, + 554129203, + 847941598, + 189331623, + -1, + 562147469, + 218136735, + -1, + 669276278, + 466922767, + 372035238, + 448180220, + -1, + 767501589, + 175879071, + 667760081, + -1, + -1, + 819963969, + -1, + 407762027, + 96445376, + 397123289, + -1, + 659691537, + -1, + 806078817, + 514718651, + -1, + 203448874, + 650152560, + 243425200, + 234796699, + -1, + 253475437, + 226790918, + 519202965, + -1, + -1, + 525702790, + 810648939, + 229298522, + 872176857, + 785788241, + 211526819, + -1, + 655771150, + -1, + 103292567, + 262566659, + 859111637, + 474037977, + -1, + -1, + 823731746, + 774446946, + 399843643, + 67672466, + 590209590, + 909730093, + 86923633, + 427422139, + -1, + 792616803, + 81396515, + 931242188, + -1, + 306449080, + 796090694, + -1, + 781584486, + -1, + -1, + 159975221, + 265088465, + 395142200, + 749721342, + 306280697, + 249621902, + 580758617, + 170060131, + -1, + -1, + 287769155, + -1, + 250515660, + 654205268, + 367765493, + -1, + -1, + 548681104, + -1, + 192464776, + -1, + 9169474, + 224405965, + 440079855, + 793824888, + 911222993, + 539939386, + -1, + 528338335, + 225690293, + 808302093, + 956651697, + 941250358, + -1, + 49017570, + -1, + 22391533, + 8792096, + 92144787, + -1, + 184020994, + -1, + 128864030, + 962927604, + -1, + 984134866, + -1, + 391491859, + -1, + -1, + -1, + 618492990, + 433931320, + 476697951, + 764622066, + 535084833, + 40687781, + 227184252, + 876082154, + 388797593, + 248983094, + 216938228, + 62158732, + 31505331, + 379839633, + -1, + 609308685, + -1, + -1, + -1, + -1, + 410647017, + 36821603, + 76757177, + 252179835, + -1, + 791073172, + 367449680, + 193473810, + 3641384, + 491384065, + 23463423, + 542915759, + 493127925, + 895420101, + 586470827, + 69319671, + -1, + -1, + -1, + -1, + 303732087, + 190572322, + 833768699, + 220582241, + 513120726, + 756531941, + 474065900, + -1, + -1, + 144933993, + -1, + -1, + 776451065, + 495365243, + 952383931, + 393168677, + 632524119, + -1, + 372915407, + 299834841, + 9574325, + 592452785, + 457342968, + 739519370, + -1, + 811782511, + 768990264, + 157754805, + 257047768, + 459798800, + -1, + 123475305, + 505105326, + -1, + 764638661, + 927552504, + -1, + -1, + -1, + 48301838, + 479895992, + -1, + 351333747, + 103536467, + 830784127, + -1, + -1, + 390440106, + 126680001, + 734662313, + 500868592, + 997876832, + 543531877, + 421678469, + 812890772, + 851905279, + 570675652, + 751953587, + -1, + 493280708, + -1, + -1, + 651464699, + -1, + -1, + -1, + -1, + 277209788, + 370946871, + 123703155, + -1, + 418025568, + 509070940, + 242897973, + 143644455, + -1, + -1, + 863601672, + 257234088, + -1, + 472875010, + 846558792, + 623684863, + -1, + 364039479, + 494521395, + 595017875, + 853624305, + 563263905, + 113110298, + 59006105, + 68986444, + 320433941, + 90864165, + 566647849, + 229187392, + 351230105, + -1, + -1, + 796521238, + 654156813, + -1, + 14079183, + 317833223, + 665911605, + 135889114, + 780099841, + 573351636, + -1, + -1, + -1, + -1, + 952713764, + -1, + -1, + 237484509, + 629502566, + -1, + 837589929, + 770886566, + -1, + 260633055, + 595332335, + 771577689, + -1, + 141040835, + 516269058, + 204413750, + 315959996, + 874303606, + 426387762, + -1, + 573060032, + 556876970, + 209140281, + 875150724, + -1, + 813170874, + -1, + -1, + -1, + 452420969, + -1, + 84873925, + -1, + 675341781, + -1, + 840829093, + 224220763, + 440322094, + 856212471, + 708733319, + -1, + -1, + 501284019, + 790250773, + 854807880, + -1, + 206350220, + 562882279, + -1, + 643259869, + 874556332, + 439299339, + 844120877, + 694279073, + 635059537, + 798019581, + 236096730, + 977938637, + -1, + 480108165, + 30910731, + 113172330, + -1, + 434453957, + -1, + -1, + 687228685, + 925796128, + 599577621, + 371003071, + -1, + 38372873, + 562787846, + 264237509, + 713936207, + 324735229, + 368733023, + 614349024, + -1, + 732735649, + 101660537, + -1, + 56762936, + 584538402, + 413253134, + 181883793, + 378710856, + 28899029, + 923620134, + 678673106, + 939531207, + -1, + -1, + 722865324, + -1, + 922134992, + 91475214, + 804039820, + 791412967, + 554490703, + 234960147, + 583972680, + -1, + -1, + 942355912, + 93157539, + 636150028, + 269081421, + 985987341, + 751210737, + -1, + 410855899, + 218607043, + -1, + 424867093, + 792173153, + -1, + 696708334, + 701502183, + 893804035, + 320994005, + 419167287, + 726704578, + 889259775, + 421028764, + 484254357, + -1, + 519133004, + -1, + 49743750, + 617160130, + 600117648, + 444218466, + 468427367, + 710623133, + -1, + -1, + 676280092, + 174835941, + 266630162, + 392451113, + 459246656, + 833789756, + 934773009, + 306306809, + 784209276, + 625310722, + 308406020, + -1, + 972923478, + 67600807, + -1, + -1, + -1, + 492828695, + -1, + -1, + -1, + 216636094, + -1, + -1, + -1, + 815202692, + 175832341, + -1, + 103644639, + -1, + 919623248, + 819338241, + -1, + 154651590, + 192247914, + 501188593, + 28350149, + 794188748, + -1, + 690883129, + -1, + -1, + 749399306, + 694254125, + 602942749, + 395793588, + -1, + 78558380, + -1, + 682085908, + -1, + -1, + 450437827, + 125139580, + -1, + 91973481, + 253624983, + -1, + 441137340, + 286267929, + 861555821, + 910786894, + -1, + 386521532, + 243265748, + 382719361, + -1, + 892465534, + 490678645, + -1, + 666563017, + 254625048, + 359786390, + -1, + -1, + 455714073, + 59545411, + 224552724, + -1, + 212999720, + 974290600, + 361538676, + -1, + 404865540, + 875767462, + 714915817, + 737469074, + 402595748, + -1, + 716751204, + 469693712, + -1, + -1, + 744918138, + -1, + 109626463, + 338238330, + -1, + 890476978, + 584192260, + 220788294, + 691042449, + 838598739, + 697309499, + 601294465, + -1, + 683050992, + 92623478, + -1, + 313462685, + 764168462, + -1, + 375869910, + -1, + -1, + 990442925, + -1, + 206778574, + 433696782, + 195837959, + 151165069, + 688903110, + 558826519, + 480423939, + -1, + 86400373, + 119019518, + 901230002, + 89821600, + 741625406, + 402869108, + 929393407, + -1, + 763567988, + 938558520, + -1, + 779111780, + 219967458, + 688484957, + 245423844, + 608062140, + 456899735, + 258125972, + 37018660, + 99138569, + 680780803, + 392144180, + 783388725, + 57212875, + 677976708, + 386374760, + 864849840, + 697572700, + -1, + 372723389, + -1, + -1, + 566327422, + 398867561, + -1, + 860063504, + -1, + 542813395, + 195570642, + 17742759, + 450716041, + 516182043, + 640994801, + -1, + -1, + 655009713, + -1, + 382194194, + 405197576, + 241100353, + 292703797, + 984084446, + 753306447, + -1, + -1, + 185948478, + 903846768, + -1, + -1, + 389525144, + -1, + -1, + -1, + 118972780, + -1, + 148354325, + 340741327, + 241101918, + 176507800, + 762030079, + 83133115, + -1, + 301196537, + 4796896, + 255328516, + -1, + 990108565, + -1, + -1, + -1, + 207006935, + 208323783, + 201037652, + 289723760, + -1, + 239392513, + 664972692, + 864743200, + 82489308, + -1, + 937791338, + 783213679, + 716833977, + 991900354, + 828151840, + 820226576, + 686731678, + 975665745, + 974560498, + -1, + 45926434, + -1, + 629900920, + -1, + -1, + 451504294, + 719928990, + 792842866, + 559898816, + 295515683, + 35400809, + -1, + 847297143, + 294122128, + 661552114, + -1, + 871608009, + -1, + -1, + 640082635, + 758443875, + -1, + 733612593, + 14177015, + 403302114, + 913747846, + -1, + 770140498, + -1, + 688002289, + -1, + -1, + -1, + -1, + -1, + 946842803, + 116559715, + -1, + -1, + 823157659, + 833994091, + -1, + 891151993, + 903519919, + 998468242, + 378114112, + 767969821, + 403637434, + 219106292, + 355538323, + -1, + -1, + 565002037, + -1, + 518117515, + -1, + 859912631, + 734012911, + -1, + 154206110, + 758555266, + 96497578, + 489467144, + -1, + 349431567, + -1, + 593208521, + -1, + 966716587, + -1, + 285305766, + -1, + 157659107, + -1, + -1, + 512322551, + -1, + 189913267, + 554907225, + 549097694, + 70150541, + 194311602, + 349030742, + 890004892, + -1, + 393608736, + -1, + 156570026, + 759336740, + -1, + 679547609, + 613360864, + -1, + -1, + -1, + -1, + 306588959, + -1, + -1, + -1, + 687961619, + 661744478, + -1, + 946999538, + 206740909, + 291342961, + -1, + 973249321, + 387392986, + 697770129, + 970981200, + -1, + -1, + 483401027, + 448385023, + 42166248, + 252905145, + -1, + 219464911, + 966787664, + 603335458, + -1, + 479153284, + -1, + -1, + -1, + 480552592, + -1, + 356790161, + 778062884, + 649918931, + 213558941, + -1, + 49688204, + 781501575, + 208313272, + 446518940, + -1, + -1, + -1, + 223538475, + 937905856, + 506563489, + -1, + 266043762, + 995949594, + 528201712, + 381312790, + 383803774, + 535484282, + 76853503, + 989615996, + -1, + 934714809, + -1, + 969813766, + 689545237, + 977896084, + 733675493, + 462041194, + -1, + -1, + 228234279, + -1, + 104401534, + 671549755, + -1, + 55017900, + 660492729, + -1, + 355590056, + -1, + 669675242, + 322461961, + -1, + 898596718, + 516667081, + 58132852, + -1, + 885961113, + 269270498, + 644870562, + 285986564, + 742415045, + 458850510, + 311087321, + 412992469, + 715662461, + 329891768, + 522618969, + -1, + 846885286, + -1, + 593415669, + 23485597, + 779277733, + -1, + 894021501, + -1, + 794155468, + 471392609, + -1, + 878876086, + -1, + 687276788, + 150589961, + 563534922, + -1, + 615302917, + 316238459, + 905345267, + 127952858, + 953432395, + -1, + -1, + 311217610, + 31487037, + 664590028, + 159863305, + 82939049, + -1, + -1, + 51403518, + 343548002, + 210765514, + 487463755, + 286890512, + -1, + 874606826, + 239063452, + 482844075, + -1, + 736900120, + 649890721, + 834396916, + 170499556, + -1, + 423787338, + 759489878, + -1, + -1, + -1, + 39178853, + 975996906, + 247942039, + -1, + -1, + -1, + 767757654, + -1, + -1, + 27836189, + 281024201, + 738543347, + 233369123, + 146614554, + 714904086, + 42825648, + 955969138, + -1, + 997105685, + 19840836, + 436930151, + -1, + 318164873, + 804077000, + -1, + -1, + 322804882, + 600422360, + 441510992, + 733261609, + -1, + -1, + -1, + -1, + 327261883, + 1405372, + 9601807, + 246721088, + 700742855, + -1, + 582695642, + 878227830, + 379362986, + -1, + -1, + -1, + -1, + 488268577, + 698388915, + 388100822, + -1, + -1, + 596991767, + -1, + 843842442, + 260997801, + 140990062, + 993131654, + -1, + 132606386, + 88722709, + 241255070, + -1, + 43582790, + 31681500, + 885366507, + 4689316, + -1, + -1, + -1, + 519766225, + 640636423, + 178189366, + -1, + -1, + -1, + 729694968, + -1, + 938126524, + -1, + 610462756, + 615939433, + -1, + -1, + 730341142, + 492194547, + 243666158, + 332875672, + -1, + -1, + 444049679, + 457800770, + 373934304, + 267839514, + -1, + 372028371, + 321354460, + 320396211, + 534500395, + 608163386, + -1, + 298116805, + 69513851, + 222349381, + 556479186, + 11440940, + 553430622, + 969537984, + 172742698, + 576954674, + 975870812, + -1, + -1, + 33512273, + 484718274, + 943118713, + 43485982, + -1, + 739721990, + 149038761, + 298833828, + 647324678, + 542269649, + 285311436, + 420138650, + 998854686, + 785674463, + 398455126, + 537537607, + 952454187, + 720893895, + -1, + 612485239, + 964072602, + -1, + 489954691, + -1, + -1, + 634340837, + -1, + -1, + 250123225, + 472019801, + -1, + -1, + 511283138, + -1, + 815620944, + -1, + 460592423, + 945052191, + 820305569, + 751167202, + 889588017, + -1, + -1, + 254148507, + -1, + 753410721, + 773723550, + 610796802, + 326378259, + 845678000, + 378876582, + 34562259, + -1, + 863606155, + -1, + 555969144, + -1, + -1, + -1, + 924255941, + 504119356, + 964008418, + -1, + 652598821, + -1, + -1, + -1, + -1, + 504090431, + 658162751, + -1, + 31855053, + -1, + 32118831, + -1, + -1, + 758478088, + 110290878, + 6236627, + 716230752, + 358433639, + 217723907, + 932541808, + 328016220, + 348000897, + 570522337, + 724125238, + 665736012, + 600821731, + 731527227, + -1, + 58787185, + 42699714, + 706698380, + -1, + -1, + -1, + 882626503, + 279313051, + -1, + 131573537, + 916883122, + 171612021, + -1, + -1, + 246089503, + 767545470, + 185295940, + 262337648, + 63775732, + 136937140, + 834631970, + 473207788, + -1, + 330616445, + 100272542, + 412385565, + 255998799, + -1, + -1, + 186578048, + 237538033, + 738269098, + 270163687, + 766818784, + 98994959, + 927722973, + -1, + 840219721, + 965168603, + 15930894, + 294201123, + 643514842, + 160681071, + -1, + 442691567, + -1, + 958872539, + -1, + -1, + 363639368, + 767421047, + -1, + 202715844, + 488565059, + -1, + 298742374, + 554435089, + 999830443, + -1, + 418758745, + 551214922, + -1, + -1, + 84100851, + 746584458, + 529304001, + 700389155, + -1, + 82411755, + 384247762, + 682158596, + 56302731, + 683101781, + 589143312, + -1, + 202706669, + 542637659, + -1, + 44915995, + 763362092, + 429964446, + -1, + 516956492, + 764277473, + 805217952, + 975190704, + 318226417, + 521101389, + 650436039, + -1, + 708038353, + -1, + 185484167, + -1, + 374193976, + -1, + -1, + 596154330, + 626852190, + -1, + 950238742, + 346790901, + 599758081, + 324563395, + 457504955, + -1, + 306514682, + -1, + 805651709, + 368590869, + 910985688, + 848064783, + -1, + 166193130, + 987124058, + 94835491, + 899431841, + -1, + 537478470, + -1, + 329288838, + 524944436, + 749747818, + 90518936, + -1, + 988220731, + 494587354, + 820771497, + -1, + 698696414, + 720438473, + -1, + -1, + 481043933, + 344815780, + 72822453, + 981048832, + 726119764, + 992418351, + -1, + 599530788, + -1, + -1, + -1, + -1, + -1, + -1, + 972741836, + 944793046, + 683575799, + -1, + 49430857, + 647419935, + -1, + 883675595, + -1, + 769334224, + 733241185, + 392751811, + 160418922, + 791381024, + 400309368, + 627130554, + 32026956, + 261364389, + 477860694, + 510381329, + -1, + -1, + 382252329, + 272150024, + -1, + -1, + 153639412, + 432224804, + 812184066, + -1, + 665424442, + 745646155, + 509792145, + 584485299, + -1, + 406653, + 557155357, + 890505807, + -1, + 224681399, + 628893642, + 192851705, + 203829599, + -1, + 825669841, + -1, + 285820982, + 945264091, + 968955403, + 300625880, + 622074052, + 156461269, + 404983032, + -1, + 148790835, + 599858609, + 809073940, + 564216309, + -1, + -1, + 205419194, + 821663351, + 931351502, + -1, + -1, + 462357204, + -1, + 7131339, + 789794501, + 129797886, + 351471919, + 263614219, + 89921499, + 603422197, + -1, + -1, + 865787425, + 725537731, + 913679765, + -1, + 464418125, + -1, + 951603041, + 720013398, + 290570702, + 134002967, + -1, + 179903361, + 837557076, + 243026945, + 979429810, + 841797070, + 854694037, + 200638053, + 24144764, + 597477708, + -1, + 239098172, + 182394624, + 466244386, + 463827791, + 173354652, + 931788938, + 136857655, + -1, + -1, + 38058993, + -1, + 712913136, + 223403482, + 749808235, + -1, + -1, + -1, + 171301249, + 176520290, + 365376943, + 212866440, + 526876518, + 884054488, + 864538312, + 305550015, + 191227982, + 511835830, + 142416070, + 439935561, + -1, + 233177103, + -1, + 352617334, + -1, + 515389385, + 642969132, + 118070782, + 550675374, + -1, + 868411998, + -1, + -1, + 914201252, + -1, + 103837905, + 694531505, + -1, + -1, + 915399663, + 613109442, + -1, + -1, + 42480788, + 78001894, + 623575984, + -1, + 689081256, + -1, + 707060638, + -1, + 289059525, + 295191339, + 824549257, + -1, + 249131205, + 289078014, + 97968280, + -1, + 690783843, + 243908237, + -1, + 781746958, + -1, + 584348588, + 281424970, + 286892152, + 820967167, + -1, + -1, + 720048875, + 659852046, + 352581371, + 182286977, + 801917562, + 301487618, + -1, + 962630561, + -1, + -1, + 158038212, + -1, + 195020211, + -1, + -1, + 218952977, + 248351883, + 285577915, + -1, + 718361091, + 826695678, + 382562302, + 782320414, + 930465530, + 623814758, + 196286844, + 952591446, + 134530814, + 672922795, + -1, + -1, + 230955653, + 365153121, + 818475171, + 745599102, + 571304947, + 415942581, + 7206141, + 468378477, + 868815399, + 394154337, + -1, + 470283322, + -1, + 444432415, + 101537132, + -1, + 401150519, + -1, + -1, + -1, + 624185021, + 365314120, + 695592973, + -1, + -1, + 218798996, + 950070858, + 651445835, + -1, + -1, + -1, + 405619549, + -1, + 139233302, + 30381178, + 717246813, + 983607383, + -1, + 187171367, + 205236311, + 309137029, + 979556649, + 886200053, + 11871945, + 131284997, + 663269367, + -1, + -1, + 801863957, + 974166003, + 283943557, + 274000117, + 23634260, + -1, + 354063819, + 294207501, + 794945685, + -1, + 325442775, + 202488858, + 258158482, + 216103237, + 31493803, + 926079993, + 210373402, + -1, + 642602594, + -1, + 732661813, + 557917305, + -1, + 615745828, + 897794880, + 278392498, + -1, + 697559794, + 231963253, + 262444699, + 678820329, + 220101358, + 8888924, + 431641679, + -1, + 628835452, + -1, + 657590985, + 517612300, + 574169391, + 260918851, + -1, + 246631129, + -1, + 520462938, + 676866503, + 499193536, + -1, + 263441104, + 618523347, + 892767922, + 443449824, + 737458933, + -1, + 634084418, + 911774122, + 873362218, + 8113044, + 213913077, + 811179739, + -1, + 785036282, + 427171395, + 678988485, + -1, + 439323714, + 964968605, + 61613699, + 724013090, + -1, + 675926653, + 829356360, + 207573059, + -1, + 789221299, + 527073816, + 710553207, + 642537211, + 87574714, + -1, + 558748384, + 884494980, + 674300889, + 835303330, + 508898861, + -1, + 986544770, + 621401449, + 734608118, + 718827609, + 834948254, + 484841881, + 246039396, + 928984342, + 366804799, + 892337525, + 485542299, + -1, + 776021030, + 630474944, + -1, + -1, + 203096828, + 949743725, + -1, + 707052731, + 573769718, + -1, + 402934191, + 676593975, + -1, + 97126593, + -1, + 304441574, + 819769586, + 328337413, + 379288375, + 861041788, + -1, + 6306653, + 817877845, + -1, + 495721906, + -1, + 296763807, + -1, + 217608578, + -1, + -1, + 695489170, + 506195112, + 742366025, + -1, + 491983248, + -1, + 61289954, + -1, + 328617377, + 285538796, + -1, + -1, + -1, + 536714612, + -1, + 796454479, + 351613858, + 649929807, + 196212464, + 707523429, + 439752184, + 985753589, + 456191793, + 532193012, + 833309767, + 70649426, + -1, + 160434873, + 649945409, + 85010566, + -1, + 4644203, + 694519766, + 835549947, + -1, + 428800203, + -1, + 878676147, + 388754818, + 584400488, + 848358599, + 116209930, + -1, + 395860689, + 215692480, + 872924185, + 443933015, + 789294539, + 234385987, + 393299286, + 586002553, + -1, + -1, + 355614140, + 518915035, + 986924596, + -1, + -1, + 78607590, + -1, + 684159216, + 51144223, + 813652077, + -1, + 170650239, + 202461703, + -1, + 576298399, + 441332623, + 764858913, + -1, + 550428953, + 949181504, + 395902445, + 279461058, + 877933898, + -1, + 702467316, + 671502675, + 660127584, + 176131440, + 652240016, + -1, + 608474865, + -1, + 649078893, + 766183212, + 704905975, + -1, + 847177138, + 24927607, + 962757521, + 695883385, + -1, + 7643987, + 639332808, + 307573368, + 636038435, + -1, + 170228025, + 734715746, + 452054431, + -1, + 728463235, + -1, + 39461681, + -1, + 599861656, + 623266273, + 469897346, + -1, + 640331440, + 227697837, + 68243753, + 300020351, + -1, + 350014618, + 464864426, + 747540614, + 341770482, + 774594360, + -1, + -1, + 628169203, + 727711127, + 304903637, + -1, + -1, + -1, + -1, + -1, + 479825243, + -1, + 240219293, + 535093063, + 718990846, + -1, + 826230218, + 518218465, + -1, + -1, + 426441494, + 50539438, + -1, + 746300413, + 476232210, + 311210886, + 767273187, + 279558207, + 987794181, + 701628602, + 331224591, + 103051613, + -1, + 418362288, + 572606314, + 457035748, + 111475175, + -1, + 841572191, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 982822862, + 828007361, + 274496643, + 61431478, + -1, + 463649197, + -1, + 581692512, + 668083831, + -1, + -1, + 204926359, + 464277409, + 22245993, + 189490162, + 18010815, + 182547597, + -1, + -1, + 953762065, + 808697681, + 92202229, + 981306248, + 958407216, + 389771055, + -1, + 432684817, + 498780293, + 421642095, + -1, + 123770293, + 973132396, + 975849833, + 590646593, + 74574766, + 416658760, + 684365946, + -1, + -1, + -1, + -1, + 315239801, + 315690623, + 248229615, + -1, + 745303121, + 802439329, + -1, + -1, + 858163055, + -1, + 232179442, + 625273988, + 332101375, + -1, + 354594346, + -1, + 592050111, + -1, + -1, + 526664283, + 310780780, + -1, + 127323240, + 660527418, + -1, + 95798434, + 840304936, + 384362455, + 195414300, + 803777467, + 226958052, + -1, + 804915802, + 502325466, + 317275184, + 550459990, + 770785611, + 629598817, + 700293182, + 351100312, + -1, + 648369261, + 150880451, + 390854990, + 251395283, + 708405484, + 492995459, + -1, + 293036657, + 540915699, + -1, + 324524899, + 287627152, + 736947796, + 409610311, + 906825670, + 276494582, + 839780235, + 502653395, + -1, + 238249154, + 94292365, + 331380069, + -1, + 343529941, + 967683482, + 409506785, + 877326266, + 395346491, + 670055832, + 629913716, + 604386805, + -1, + 388269062, + 451151500, + -1, + -1, + 400996798, + 797581620, + 892414894, + 805595616, + 566824911, + 182037949, + 310603763, + 151986406, + -1, + 19487853, + 497160286, + 523123486, + 226078609, + -1, + 935634471, + 228692346, + 361885627, + 516219680, + -1, + 196114722, + -1, + 675757178, + 365413450, + 594941324, + 629470002, + -1, + 185115227, + 289878736, + -1, + 234855671, + 280025469, + 967362732, + 183528743, + 240294332, + 618678950, + 604223488, + 283353791, + 491369178, + -1, + -1, + -1, + 758676018, + -1, + 317528788, + 545062965, + -1, + -1, + -1, + 321571357, + -1, + -1, + 85145877, + 86579104, + 812260110, + 972642500, + 370313006, + -1, + 815371600, + 965144826, + -1, + 280448812, + 889468250, + 280794358, + -1, + 128475648, + -1, + 794073940, + 847951710, + 329981586, + 471765798, + 898519019, + 984458771, + 123461923, + 86273724, + -1, + 631598614, + 215539075, + -1, + 983555622, + -1, + 463737223, + -1, + 176937654, + 281212452, + 147292272, + 68239907, + 705563607, + -1, + 101449998, + 245937107, + 225810808, + 658452552, + -1, + 705851276, + 234208260, + 966874334, + 904522303, + 41302408, + 580905588, + 960618021, + -1, + 734535858, + 727325504, + 584136560, + 444496214, + 728505392, + 394587441, + 248775656, + 133377207, + 838980944, + 427989562, + 135009403, + 17253795, + -1, + 274047660, + 996328632, + 40975470, + -1, + 600682748, + 179643172, + 272020902, + 836305373, + 34769467, + 453446232, + 937200889, + -1, + 629810047, + -1, + 268587666, + 761431235, + 323559682, + -1, + 838791709, + 537576432, + 985622238, + -1, + 220810936, + -1, + 551049414, + -1, + -1, + -1, + 788857966, + 242111199, + 326832963, + -1, + -1, + 319169111, + 653746375, + 484933682, + -1, + -1, + 116405826, + -1, + 30247965, + 782515224, + 724625517, + -1, + 457931278, + 966972193, + 124450434, + -1, + 955854507, + -1, + -1, + 805128937, + 937028436, + 512810234, + 45501010, + 254064422, + 177303326, + 557767634, + 164456959, + 775094388, + 85402587, + 616998556, + 55291430, + -1, + 331033713, + -1, + 609285009, + 67632114, + 889552307, + 130690877, + -1, + 916724582, + 489477618, + -1, + -1, + 60986940, + 251255243, + 760283034, + 842605221, + 223482561, + 435663246, + -1, + 117799919, + 584344930, + 755198090, + 480296506, + 509410912, + 600436748, + 442988742, + -1, + 463662450, + 400055804, + 886802661, + 461051013, + 851498896, + 795676524, + 402459451, + 419311940, + -1, + 41018084, + 533140539, + 754315646, + -1, + -1, + 512235930, + 671416075, + 353962233, + 529031969, + 229789227, + 145356933, + -1, + -1, + -1, + 275394670, + 802896169, + -1, + 476545449, + 507223113, + -1, + 310428117, + 700292315, + 774804737, + 526026905, + 426695538, + 783944708, + 589274445, + 985748593, + 517750724, + 679975077, + 620665641, + 950255617, + 607295806, + 968701515, + -1, + 595918564, + 5401567, + 992322116, + -1, + 302893579, + 516179471, + -1, + 877669594, + 863784119, + -1, + 848420524, + -1, + 49529443, + 458737764, + -1, + 678406940, + 571866223, + 267333493, + 403912092, + 362209704, + 897630830, + 301044666, + 754436637, + -1, + 562072156, + 402086359, + 757010338, + 13047278, + -1, + 978547740, + 265847727, + -1, + 647493397, + 823885779, + 838539714, + 469604397, + -1, + 890955608, + 286851812, + 522336919, + 683445481, + 136751372, + 598283271, + 351819424, + -1, + -1, + -1, + 260909089, + -1, + -1, + -1, + 96444503, + -1, + 625648238, + 804832856, + 863761602, + 373137727, + 556878534, + 318834836, + -1, + 462661268, + 64555565, + 605987254, + 315501691, + 990324586, + -1, + 832221103, + 231997607, + 763621021, + 294594012, + 255540922, + 222337077, + 835782989, + 400255692, + -1, + 211460553, + -1, + -1, + 37875962, + 405071521, + 622534176, + 847648413, + 582215396, + 431840733, + 727902073, + -1, + 884638406, + 424623099, + -1, + 35037379, + 549635097, + 745832956, + -1, + 446060410, + 559502163, + 246041905, + -1, + 760726012, + 625270305, + 160374082, + 88707447, + -1, + 12359900, + 560103089, + -1, + 831056724, + 335003310, + -1, + 290971534, + 132247143, + 445216487, + 681678034, + -1, + 629590183, + -1, + 315384748, + 584744606, + 233483809, + -1, + 631186416, + 525819424, + -1, + 338123007, + 422607232, + 647308072, + 107862131, + 568592272, + -1, + 435670487, + 85684439, + 17636065, + 230129410, + 761189977, + 814068923, + 539449863, + -1, + 305231496, + 44960580, + -1, + 177521099, + -1, + 343823009, + -1, + 697641800, + 381568040, + -1, + 109414415, + -1, + 111289037, + 835969940, + 427987401, + 458289117, + -1, + 983875465, + 418792421, + -1, + 538389850, + 808194010, + 665926517, + -1, + 803168091, + -1, + 794877592, + -1, + 9064553, + 367031241, + 347159819, + -1, + 65149570, + 825246539, + 486951087, + 310401406, + -1, + -1, + -1, + 348536379, + 128981552, + 906827001, + 51901892, + -1, + 662342316, + 70493553, + 101963142, + -1, + 981788080, + -1, + -1, + 405104367, + -1, + -1, + 613032423, + 721517015, + -1, + 214746683, + -1, + 160834846, + -1, + 533104761, + -1, + 721483204, + 879962525, + 774106514, + 28332962, + 507214979, + -1, + 312002710, + 897084772, + 62140091, + -1, + 360429841, + -1, + 746281329, + -1, + 113844009, + -1, + 852066418, + 650600079, + 780805430, + 818163629, + -1, + 583064354, + -1, + 49341323, + -1, + 217236410, + 988144571, + 213206908, + 907192753, + 760576957, + -1, + 90871304, + 533904506, + -1, + 124941537, + -1, + 902329272, + -1, + 268766802, + 82111211, + 71387220, + 712901962, + 602626718, + -1, + 647794393, + 694695079, + 299235994, + 533493944, + 227135911, + -1, + 913334514, + 980594817, + -1, + 146430781, + -1, + -1, + 957862856, + 61683924, + -1, + 7028197, + 287179348, + 149675775, + 431887651, + 677728704, + 358702238, + 209185103, + 779339727, + 338070852, + 466167453, + 38748579, + 592838380, + -1, + 366950612, + 674941388, + 950574765, + -1, + 787192748, + 38143979, + 41007823, + -1, + 981936660, + 871647898, + 264870592, + 84962698, + 388101446, + -1, + 819132598, + 973020964, + -1, + 143616147, + 213604011, + 668958875, + -1, + 712120673, + 378062953, + -1, + 652397889, + -1, + 414634885, + -1, + 647632864, + 471212710, + -1, + 945628344, + 716959536, + 377973270, + 69570299, + 647152256, + 313350659, + 849940432, + 390153808, + -1, + 66063569, + 934732012, + 835009534, + 116951212, + 78225681, + -1, + 55187873, + 719106234, + -1, + -1, + 416168978, + -1, + -1, + 531800402, + 210166714, + -1, + 322326506, + -1, + 396068810, + 169759209, + 293570971, + 321568114, + 143018700, + 720074672, + -1, + 226835302, + -1, + 963448085, + 900212560, + 776276583, + 236431205, + -1, + 23211550, + -1, + 571999398, + 395654569, + 526781852, + 466784300, + 24326759, + 586597965, + -1, + 528231660, + 122431718, + 384039399, + -1, + 338818808, + 115820794, + -1, + 220716945, + 515841451, + 115111323, + 920474717, + -1, + 424077963, + 693379024, + -1, + 524007838, + -1, + 832690326, + 671935596, + -1, + -1, + 163799465, + 305715709, + 473778584, + 197572146, + 932262443, + 827137873, + 835825821, + 107168463, + -1, + -1, + 814710095, + 109915102, + -1, + 17837122, + 93251632, + 302725011, + -1, + -1, + 657269358, + -1, + 220542477, + 867239842, + 928278444, + 498617461, + -1, + -1, + 241729289, + -1, + 50489200, + -1, + 853706017, + 482959322, + 938591239, + -1, + -1, + 343271690, + -1, + -1, + 64427954, + 192317801, + -1, + 274763421, + -1, + 359433321, + 302865210, + 144823879, + 639296005, + 473348376, + 731323966, + -1, + 485480790, + 788468318, + 659349983, + 750301561, + 349704728, + 610407017, + 610961893, + -1, + 613918029, + 561872878, + -1, + 972921532, + -1, + 132949805, + -1, + 368771800, + 292719685, + -1, + 451739770, + 455294770, + 718372741, + 935778304, + 947922665, + 371087222, + -1, + -1, + -1, + -1, + -1, + 302905995, + -1, + 644635735, + 596701487, + 647870756, + 736205992, + 248227912, + -1, + 290215555, + 936930591, + 450455458, + 161241642, + -1, + 723041390, + 305062778, + 342489583, + 531649344, + 698418412, + -1, + 210486796, + -1, + 457986401, + 756928735, + -1, + -1, + -1, + 501762778, + 688094938, + 108486641, + -1, + 611334917, + 951104551, + 855445625, + 296314662, + 240846836, + 120140200, + 21932799, + -1, + 293822014, + 469097115, + -1, + 757917785, + 393889921, + 807255001, + -1, + -1, + 738343602, + -1, + 966406633, + 178428367, + -1, + -1, + 221067037, + 324405560, + 649714931, + -1, + 137639817, + 947250056, + 214036928, + 261586107, + 331636239, + -1, + 176556363, + 655454146, + 271442168, + 141477947, + 779650175, + -1, + -1, + -1, + -1, + 668820050, + 153014544, + -1, + 619441652, + 24528776, + -1, + 553500092, + 158941118, + -1, + 17430119, + 640152520, + 358720611, + -1, + 73878160, + 990410311, + -1, + -1, + 824083508, + 970065117, + 706442009, + 74494862, + 899554140, + 291246543, + 134813365, + -1, + 780656805, + 770242217, + 32852855, + 832429177, + 474041379, + -1, + 271292636, + 872260202, + 132938167, + -1, + -1, + -1, + 771481029, + 479607101, + 914550551, + 106655239, + 221934251, + 679669553, + -1, + -1, + -1, + -1, + -1, + 934601700, + 870184251, + 149963426, + -1, + 717609403, + 675575206, + 553210736, + -1, + 71377925, + 684346749, + -1, + 439177917, + 952786075, + 315979102, + 901685934, + 417867318, + 669523293, + -1, + 612395826, + 73289217, + -1, + 592470958, + -1, + 708518057, + 359403880, + 487512039, + 532729073, + 369414185, + 155492060, + 599651216, + 182887034, + 432220446, + 326602776, + 949922425, + 942499643, + -1, + -1, + 915086209, + -1, + 137148402, + -1, + 253738728, + 288692884, + -1, + 896237408, + 861819665, + 818969635, + 302783159, + -1, + -1, + 492416584, + 919883665, + 793763276, + 284091027, + 492154440, + 225421498, + 250194083, + 503238509, + -1, + 391317477, + 43887881, + 35488252, + 974637278, + 943502114, + 74251707, + 565583899, + 237617622, + -1, + 286283643, + 531461011, + -1, + 525906044, + 168676028, + -1, + -1, + 983393625, + 658695448, + 518238120, + 309767838, + 481217047, + -1, + 605077875, + 819521104, + -1, + 469337099, + 230134651, + -1, + -1, + 892963686, + -1, + -1, + 121039969, + -1, + 407949375, + 142104470, + 249357479, + 444216813, + -1, + 592654915, + 794583325, + -1, + 590875128, + -1, + -1, + -1, + 649699580, + -1, + 104796078, + 830811812, + -1, + -1, + 902825828, + 992085005, + -1, + 123122900, + 201709906, + 172358121, + 89780866, + 736278359, + 719687975, + 26965823, + 924830508, + -1, + 280739121, + 164940466, + 60453710, + -1, + 464280859, + -1, + -1, + 921801758, + 962100868, + -1, + -1, + -1, + 941558574, + 784288478, + 790296255, + -1, + 77475405, + 147521587, + 281639134, + -1, + 699464225, + 799009540, + 907163437, + 568510153, + -1, + 988718186, + 596954620, + -1, + 586367149, + 460321019, + 593874789, + 327025952, + -1, + 183812009, + 610428430, + 33384260, + -1, + 469424493, + 776798896, + 517706636, + 706048335, + 750724421, + -1, + 482551671, + 863201861, + 547771721, + 498976993, + 724847514, + 551380167, + -1, + 985341757, + 551443205, + 341957746, + -1, + 832969700, + 374123098, + 992354336, + 21672193, + -1, + 755806307, + 320997751, + 179457153, + 10836344, + -1, + 860041942, + 533845162, + -1, + 48433794, + 535594909, + -1, + -1, + 177230203, + 85660167, + -1, + 848325860, + 881418237, + 497052614, + 933000846, + -1, + -1, + 460668567, + 113418572, + 861222688, + -1, + 178839044, + 526744243, + 687995037, + 177795005, + -1, + 924650495, + 392775611, + -1, + 579733739, + 286158423, + -1, + 998407930, + 546742037, + 881154536, + 571301543, + 874427099, + 994492136, + -1, + 681899443, + 355005656, + 830468606, + 967972356, + 97350967, + 961971412, + 93233426, + 925699689, + 230077488, + 584910204, + 574661221, + 792110813, + 535604515, + 108569500, + 173498637, + 297519153, + 2940313, + -1, + 612726872, + 985395621, + 504173751, + 515996230, + 455893767, + -1, + 189937986, + -1, + -1, + 660564740, + 221991468, + 629190781, + 362567715, + 496512548, + 867619599, + 25313855, + 719692574, + 948220502, + 361031209, + 431102788, + 771559185, + 118681604, + 100793770, + 806520585, + 982760260, + 797383160, + 260469094, + -1, + -1, + 360814299, + 850237126, + 673760273, + 753800584, + 691150151, + -1, + 280391273, + 607972764, + -1, + 227254750, + 940657491, + 481904670, + -1, + 66385916, + 586094376, + -1, + 119550940, + 505371776, + 145045574, + 849751161, + 170002549, + 581849898, + 482427889, + 826631319, + 457268056, + 9975408, + -1, + 304767542, + -1, + 862758297, + -1, + 598040145, + 496389675, + 635062891, + 365179642, + 475247481, + 760454362, + -1, + 41615163, + 280231240, + 430253409, + 22162863, + 589922340, + 152049180, + 315619585, + -1, + 733140531, + 557611647, + -1, + 749376807, + 50251261, + -1, + 565732734, + 419070345, + -1, + 129893477, + -1, + -1, + -1, + 544318139, + -1, + 325478250, + 106080422, + 405833062, + 193724731, + 372425513, + 297505560, + 386563692, + 902215872, + 149064198, + 212074323, + 981146356, + -1, + 289044699, + 414181433, + 180716274, + 186121446, + 77524239, + 550809931, + 362736699, + 78727526, + -1, + 417547385, + 374454967, + 697628282, + 946446747, + -1, + -1, + 351188276, + 823180477, + -1, + 238682283, + -1, + 491190051, + 879454531, + 422603992, + 864295495, + 493927797, + 752913889, + 480928059, + 22145686, + 698458326, + -1, + -1, + 776991572, + 558029870, + -1, + 267787183, + 622064514, + 118329929, + -1, + 276623892, + 478376395, + -1, + -1, + 398711569, + 152547874, + -1, + 492666102, + 270537157, + 838018323, + 655951030, + 150208800, + 357667071, + 332739732, + -1, + -1, + 60997961, + -1, + 282898760, + 240698130, + 856051473, + 724074213, + 574482673, + -1, + 66567680, + 57234488, + -1, + 528097238, + -1, + 948587731, + -1, + -1, + -1, + 462400394, + 406279644, + -1, + 370375194, + 621412179, + -1, + 984453415, + -1, + 676051479, + 505193413, + -1, + 350468223, + 57391352, + 947774691, + 645534767, + -1, + -1, + 148733723, + -1, + -1, + 858874024, + 551870229, + -1, + 834115737, + 14736331, + 681222769, + 139330305, + 815853040, + 858258582, + -1, + -1, + 800179900, + 319574072, + 853750443, + 224865600, + 728349387, + -1, + 738788858, + 766950231, + 748686733, + 684162273, + 430084160, + -1, + 840592063, + 398290146, + 507123052, + 898541981, + -1, + 643156059, + 930493419, + 233025935, + 985043918, + 831779152, + 166644437, + 591404754, + -1, + 386060799, + -1, + 55742174, + 37601463, + 349769757, + 290976383, + -1, + 779635012, + -1, + 949855968, + 634485818, + -1, + 847298422, + -1, + 950525019, + 459920446, + 125769792, + -1, + 84257551, + 474524327, + 579187058, + -1, + -1, + 296878434, + 99032592, + 73400832, + -1, + -1, + -1, + 554366730, + -1, + -1, + -1, + 867601982, + 185819758, + 670749210, + 788875085, + 728532682, + 846849975, + 201385786, + 536341968, + -1, + 217487624, + -1, + 385831304, + -1, + 624296239, + 686078509, + 675526160, + -1, + 604280183, + 991087350, + 909493518, + 760504185, + -1, + -1, + 350556509, + -1, + -1, + 119731123, + 49828379, + 9179698, + 591678726, + 407972305, + -1, + -1, + 191763282, + -1, + -1, + 735826390, + 462219728, + 415372367, + 244276430, + 752762322, + -1, + 350629211, + -1, + 686170982, + 840172302, + -1, + 387608951, + -1, + 431283660, + 410121702, + 900305493, + 265635359, + -1, + 423518694, + -1, + 713166665, + 618799103, + 790968872, + 821201487, + 141731035, + 866064253, + 182218377, + 952998513, + -1, + 789831603, + 266060097, + -1, + 869254427, + 420838411, + -1, + -1, + -1, + 872495402, + 49000918, + 351395944, + 592003184, + -1, + 636253094, + -1, + -1, + -1, + -1, + 690263042, + -1, + 125609853, + 9632629, + 512544506, + -1, + 271410617, + 292212586, + -1, + 357199492, + 789145742, + 758200955, + 845254176, + -1, + -1, + 69191366, + -1, + -1, + 556482114, + 921373736, + 469505761, + -1, + 894221984, + 14878866, + 516430708, + 722125081, + 44538418, + 8063479, + 879201960, + -1, + 342690970, + 786410330, + 852132671, + 139519621, + -1, + 645782454, + 175594476, + 38535795, + 574053400, + -1, + -1, + -1, + -1, + 366554318, + 394085090, + 279292177, + -1, + 252971832, + 595734126, + 717046234, + 18299865, + 159784991, + 801228629, + 835941323, + 670574678, + 476915578, + 974939927, + -1, + -1, + 596649152, + 238817952, + 183325522, + -1, + 2713764, + 161606875, + -1, + -1, + 666621770, + 171910796, + -1, + 228967722, + -1, + -1, + 938328345, + 549521611, + 69601331, + 674669741, + 434247986, + -1, + -1, + 864420585, + 929784665, + 378284842, + -1, + -1, + 65340653, + 636763621, + -1, + 30512709, + 390247798, + 124265188, + 949735197, + 502671997, + 738104069, + -1, + 711583385, + 673106688, + 738674782, + 559833690, + 215348658, + 87604016, + -1, + -1, + 269049269, + 445767776, + 378388263, + 241520257, + 941357796, + 143541993, + -1, + -1, + 537241687, + 976592176, + 589859837, + 625355178, + 547954344, + 564827357, + 728337472, + 411179133, + 154824792, + 164113303, + 399198654, + 390653117, + 760551764, + 829414547, + 747102986, + 260165576, + 620416158, + 250065381, + 539667322, + 64777422, + 344518290, + 97298302, + 882284977, + 60018059, + -1, + 775274434, + -1, + 250870666, + -1, + -1, + 688278050, + -1, + 379176705, + -1, + -1, + -1, + 718806737, + 485899605, + 211103153, + 713566050, + 642665602, + -1, + 303981229, + 113451235, + -1, + 674088784, + 759526101, + 505023360, + -1, + -1, + -1, + -1, + 473265228, + 775054839, + 973732446, + -1, + -1, + 768642701, + 290156763, + 203785941, + 319492643, + -1, + 458981429, + 158564274, + -1, + 600067657, + -1, + 944604304, + -1, + 621310617, + -1, + -1, + 541038785, + 348550368, + 788492521, + 261394403, + 219334806, + 105442800, + 91821932, + -1, + 348689209, + 363036437, + 553705680, + 658942068, + 147482869, + 852191686, + -1, + 89822037, + 786069720, + -1, + 460140717, + 526882369, + 952912186, + -1, + 127574349, + 340620851, + -1, + 699798575, + -1, + -1, + 331111456, + 419228582, + 267336541, + 721328891, + 949493931, + 346251408, + 916040800, + -1, + 492990621, + -1, + 414805251, + 466025396, + -1, + 844034672, + 647190031, + 134297604, + 775279556, + -1, + 399609390, + -1, + 629957208, + 337596496, + 340876129, + -1, + -1, + 993526926, + 483855338, + 159075286, + 391082205, + 672987702, + 868741849, + -1, + 266300537, + 1782594, + -1, + 725069607, + -1, + -1, + 378667622, + -1, + 569809348, + 969534252, + 140277049, + -1, + 619479924, + 966374294, + 795757124, + -1, + 306925853, + 374446805, + 17779233, + 428282001, + -1, + 895692146, + 251484736, + 215350437, + -1, + -1, + -1, + -1, + 180621486, + -1, + 826804300, + 781084666, + 72634154, + 932690545, + 530925739, + -1, + -1, + 231781240, + -1, + 148567736, + 289349884, + 725145308, + 517650292, + 427833455, + 563504876, + 706673858, + 526985902, + 901737364, + 21185385, + 90271908, + 474542658, + -1, + 851485032, + 339755001, + 843910371, + 996468591, + 217608780, + 526216748, + 840896546, + 615126157, + -1, + -1, + -1, + 314225425, + 808828923, + -1, + 945366188, + 804500569, + 36592857, + -1, + -1, + 696447430, + -1, + -1, + -1, + 742599284, + 485886479, + 65104311, + -1, + 19374323, + -1, + 563429856, + 700845458, + -1, + 181419530, + 526027245, + 667282761, + 473627894, + 407394498, + 394328276, + 233886635, + 92847226, + -1, + 624289546, + 454403137, + 362778479, + -1, + 847675722, + -1, + 42771966, + 273873479, + 169801327, + -1, + 854481067, + -1, + -1, + -1, + -1, + 78606208, + -1, + -1, + 254814280, + -1, + -1, + -1, + -1, + 760360468, + 454864803, + 470914369, + 647150470, + -1, + 215033875, + -1, + 970987748, + 431738692, + 374510792, + 659482484, + 573159402, + -1, + 117231611, + 861574110, + 443664456, + 994436606, + 537226353, + -1, + 595656408, + 42920443, + 813822974, + -1, + 510640869, + -1, + -1, + 120381530, + -1, + -1, + 732186438, + -1, + -1, + 907679449, + 40206908, + 50667013, + 139574944, + 265140165, + -1, + 646800288, + 64921400, + 863932628, + 686843642, + -1, + -1, + 736567108, + 314316161, + -1, + 129325029, + 683450350, + -1, + 547390798, + 501395618, + 633639047, + 121295078, + -1, + 299536059, + -1, + 164350249, + 411961602, + -1, + 182553195, + 693732788, + -1, + 89350853, + 410932043, + -1, + -1, + 253124514, + 847014609, + 346815576, + 572335477, + -1, + 223568487, + 161670645, + 283908681, + -1, + 73435025, + -1, + 736919285, + 980564221, + 562376175, + 467011998, + 616323638, + 438338431, + 338256148, + -1, + 672230682, + 17134053, + 65196609, + -1, + 973633278, + 416905163, + 590634477, + 528933173, + -1, + -1, + -1, + -1, + 350976331, + 909106304, + -1, + 998864653, + 869707165, + -1, + 433528503, + 323578241, + 436152501, + 164867380, + -1, + 698768704, + 934861967, + 600820282, + -1, + 990955047, + 780487967, + 605430559, + 757026269, + 421550481, + 347225316, + 162612897, + 718767693, + -1, + 89040345, + 893883964, + 188006388, + 813227867, + 794230045, + 521426573, + 784216080, + 542295804, + 558368005, + 171696720, + 372450903, + -1, + 880226053, + -1, + 336735893, + 660432413, + 181604037, + 493184941, + -1, + -1, + 36133377, + 688075965, + 285757374, + 970170763, + 58470121, + 368997218, + 459341926, + 447741146, + -1, + 419185784, + 654530937, + 232385366, + 205376562, + 375624818, + 957351447, + 175866314, + 535830476, + -1, + 364462235, + 948414926, + 463553438, + -1, + -1, + 833446211, + 224111968, + 86557072, + -1, + -1, + 580690313, + -1, + 344631847, + -1, + 715808833, + 61206202, + 816092059, + 899678202, + -1, + -1, + -1, + 506613461, + 794764452, + -1, + 485160316, + 723211587, + 687430623, + -1, + 279931920, + -1, + 910110399, + -1, + 112160888, + 376062416, + 528633966, + 83902044, + 36881900, + 702065854, + 579259187, + -1, + -1, + 903803378, + 865777666, + -1, + -1, + -1, + 550830768, + -1, + 900542956, + 489236961, + 415133890, + -1, + -1, + -1, + 490136567, + -1, + 253385982, + 910126578, + 633287127, + 952814392, + 452656314, + 158531529, + 101370659, + -1, + 890986353, + -1, + 641889377, + 683069732, + 176494820, + 768740367, + 34959418, + -1, + -1, + 450675023, + 187179392, + 258017563, + 956584179, + 274292130, + -1, + 385331194, + -1, + -1, + 835161005, + -1, + -1, + 217612010, + 28891317, + -1, + 563610845, + 611568230, + 237091876, + 289397801, + -1, + -1, + 739129923, + 557051009, + 3118147, + 643088845, + 738876822, + -1, + 822979183, + -1, + 190188368, + -1, + 352119517, + 18141975, + 118540437, + 303013099, + 647637362, + 363679860, + 768282996, + 671170401, + 751791891, + 676372698, + 143816996, + 941033256, + -1, + 133193216, + -1, + 114311518, + 396551121, + 467565884, + 964127206, + -1, + 458745149, + 33791250, + 152501712, + 408095287, + -1, + -1, + 586445897, + 19992230, + 340221474, + 95365, + -1, + 366925824, + -1, + -1, + 323321885, + -1, + 146373259, + 855782698, + 276848072, + 480238398, + 193471902, + 5716601, + 129114408, + -1, + 891498198, + 364041071, + 498406008, + 621299190, + -1, + 445175732, + 842380791, + 334133124, + -1, + 131713919, + 845257620, + 866844661, + -1, + 339056643, + -1, + -1, + -1, + -1, + -1, + 788252403, + 833753334, + -1, + 979593501, + -1, + -1, + 848672168, + -1, + -1, + 129149175, + 249162847, + -1, + 250484143, + 103730820, + -1, + -1, + -1, + 531217062, + 786815155, + 769723233, + -1, + -1, + 654325460, + 136721294, + 367347430, + -1, + 633335696, + 343320744, + -1, + -1, + -1, + 65340539, + 861016639, + 828859606, + 569813328, + 705191344, + -1, + 787551401, + 152617495, + 851744270, + 862116529, + -1, + 470865678, + 563612635, + -1, + 328551147, + -1, + -1, + 602967812, + 785899863, + -1, + 818124654, + -1, + 489699045, + 216374950, + -1, + 791454435, + 864029040, + -1, + -1, + -1, + -1, + -1, + -1, + 159862293, + 514519418, + 90498196, + 989908272, + 345020633, + -1, + 493655785, + 442994053, + 418087212, + 214571897, + 844883794, + 552737436, + -1, + 444072740, + 882717564, + -1, + 98593999, + 109981793, + -1, + 932507410, + 665849035, + 755824, + 308581364, + 791132324, + -1, + 291054959, + 280277128, + 287746016, + 957302512, + 192722557, + 789577163, + 885374559, + 231716424, + 702310504, + 855160109, + -1, + -1, + 956190607, + 641290284, + 974805545, + 234742809, + -1, + 711320695, + 28111530, + 621138259, + 17163725, + -1, + 698880241, + 802608932, + 382607786, + 193265425, + -1, + -1, + 529587857, + 938634039, + -1, + 191630298, + 498505353, + 200594689, + 569828458, + -1, + 971715332, + 900263945, + -1, + -1, + 578889238, + -1, + 65715090, + 749461643, + 375636337, + 627160240, + 846230715, + 696327656, + 105755288, + 204447567, + -1, + 999720592, + 187593811, + 344159456, + -1, + 505417688, + -1, + 450814943, + -1, + -1, + -1, + 25612357, + 607031172, + -1, + 108121401, + 573981942, + 10236285, + -1, + -1, + -1, + 951329325, + -1, + -1, + 929845916, + 774089394, + -1, + 360011258, + -1, + -1, + 21292830, + 293412497, + -1, + -1, + 360688928, + 492530518, + 897941273, + 288920655, + 221487216, + 136820259, + -1, + 83174785, + -1, + -1, + 992363670, + 511182474, + 196796078, + 109277351, + 826254431, + 360804744, + 580780509, + -1, + -1, + 571640375, + 29607695, + 739865532, + 660331277, + -1, + 850540939, + 671567373, + 663943128, + -1, + 764717764, + 68709568, + 43735488, + 776061679, + 391136455, + 814755368, + -1, + -1, + 564590031, + 75814086, + 120096435, + 260256830, + 140901272, + 901685787, + 230417447, + 8890381, + 513609845, + 688140301, + -1, + 111194747, + 465872925, + 17231097, + 807031012, + 454193933, + 732642012, + 441255059, + -1, + 649605125, + -1, + 120461791, + 749074121, + 821571947, + 658563091, + 38291902, + 965056062, + -1, + -1, + 38177214, + 658072105, + -1, + -1, + 338547545, + 926019220, + 558581784, + 652260524, + 200073438, + -1, + 696916965, + 587926617, + 119639282, + 376949900, + 934439853, + 514114930, + -1, + -1, + -1, + 103299886, + 948870755, + 233266047, + 253649477, + 786672575, + 328961088, + 742239700, + 519789984, + 214291961, + -1, + 556534985, + -1, + 753421408, + 890021271, + 972076010, + 166420642, + -1, + 408847573, + 451476196, + 863797578, + -1, + 476986577, + 324451879, + -1, + 24781124, + 958411579, + -1, + -1, + 974812648, + 13988070, + 809102846, + -1, + -1, + 167236294, + -1, + -1, + 238550699, + 9908602, + -1, + 280558642, + 560063386, + 755083668, + -1, + 957773007, + -1, + 614716781, + 319222029, + 974432377, + 989564129, + -1, + -1, + 923463290, + -1, + 255850146, + 222489237, + 194502411, + 779194931, + 947517067, + 674479696, + 497162338, + 262101349, + 567884973, + 964813803, + 534712293, + -1, + -1, + -1, + 571936233, + -1, + -1, + 9173529, + 519410248, + 39445435, + 170194879, + -1, + 264096711, + 496194706, + 402777082, + -1, + 889957299, + 995589682, + 315673030, + 741282640, + 30316888, + -1, + 65508451, + 307217817, + -1, + 337124264, + -1, + 221606655, + 938504853, + 389736327, + -1, + 106282563, + 859647431, + 2453971, + -1, + 964837263, + 570158015, + 598355282, + -1, + -1, + -1, + 994191260, + -1, + -1, + -1, + 835718377, + 803957410, + 390137559, + 629207030, + 87594135, + 18974092, + -1, + -1, + 993735403, + 441555173, + 18655531, + 60096217, + -1, + 569702296, + 278152033, + 142802426, + -1, + 368777876, + 382966758, + 920612752, + 933634627, + 180271100, + 149537475, + 969509548, + -1, + -1, + -1, + -1, + 10002641, + -1, + 851645147, + 444868753, + -1, + -1, + 599357029, + 569967276, + -1, + 545179811, + 935756922, + 827002236, + -1, + -1, + 48310052, + -1, + -1, + 593323607, + -1, + 532982413, + -1, + -1, + 83855944, + 224412473, + 752880203, + 269560378, + 556945133, + 218561222, + -1, + 209300875, + 584012738, + 774699851, + 379821824, + 829925168, + -1, + 804508041, + 435753869, + -1, + 278554023, + 843911353, + 57057512, + -1, + 489175014, + 447422378, + 814471996, + -1, + 390692002, + -1, + 642246018, + 839453168, + -1, + -1, + 278781213, + 85951361, + -1, + 484403358, + -1, + 481870444, + 592255229, + 39859091, + 33853735, + 539737351, + -1, + 999808968, + 126977048, + 785086024, + -1, + 663677381, + 505566998, + -1, + 459245910, + -1, + -1, + -1, + 217375095, + 139447098, + -1, + -1, + 83041983, + -1, + -1, + -1, + 363809294, + 620045178, + -1, + 615365901, + 293808128, + -1, + 152318811, + 878946862, + 560798893, + 833778689, + -1, + 8147260, + 191870234, + 311868228, + -1, + -1, + 999508450, + 841491914, + 473526755, + -1, + 25411755, + -1, + -1, + 821294404, + 166758161, + 474811624, + -1, + -1, + 137937224, + 152773807, + 697578888, + 196617345, + 831852614, + 371902208, + 948408707, + -1, + 945587761, + 677113908, + -1, + 508912778, + 702171422, + -1, + 84715156, + 541074036, + -1, + 483762141, + 62569425, + 333129895, + 243518731, + -1, + 933416905, + -1, + 319767691, + 928059535, + -1, + -1, + -1, + 117175083, + 32450512, + 823571115, + -1, + -1, + 612646531, + 197232407, + -1, + -1, + -1, + -1, + 658732170, + 504813832, + -1, + 581841728, + -1, + 269615470, + 666645385, + 166030274, + 847908210, + 52477319, + 39917608, + -1, + 384063016, + 4104995, + -1, + -1, + 201426079, + 150684761, + 460415921, + -1, + 103886802, + -1, + 885973346, + -1, + 721824797, + 302888153, + 36110571, + 684755668, + 92148825, + 801659229, + 908847039, + 580058516, + 483826040, + 380124767, + -1, + -1, + 168027299, + -1, + 644367542, + 512242293, + 467829304, + 633782717, + -1, + 240730532, + 131147214, + 40876332, + 917027660, + -1, + -1, + 790785524, + 190095575, + -1, + 206043985, + 25793373, + -1, + -1, + -1, + 109634953, + -1, + -1, + -1, + 652831304, + 734437591, + 192651725, + 548416622, + 361815144, + 209487981, + 449909005, + 458075514, + 148694379, + -1, + 132588413, + -1, + 877838671, + -1, + 686255328, + -1, + 189212725, + 855509486, + -1, + 718914560, + 274306526, + 971507755, + 900609701, + 921188323, + -1, + 6500014, + 852985159, + 498398996, + -1, + -1, + -1, + 205194558, + 486962523, + 203722046, + 764960350, + 999633780, + 544123794, + -1, + 807363136, + 111799665, + 696154431, + -1, + 960181358, + 801510223, + 205880081, + 621627971, + -1, + -1, + 553863216, + 148136283, + 511882798, + 802368478, + 68994706, + 419940093, + 381658898, + 821780444, + 571297133, + 206256215, + 130080515, + 768059045, + 221641386, + -1, + 874762977, + 252119022, + 130557128, + -1, + 718289703, + 512138624, + 764170379, + 187657926, + 221673599, + 83242719, + -1, + 799023476, + 85079357, + 439764185, + -1, + 151767991, + 147414757, + -1, + 257670531, + 45106647, + 867345315, + 281685538, + 655824098, + -1, + -1, + 962263884, + -1, + 723418985, + 300033715, + 764646937, + 232810117, + 9947061, + -1, + 327666832, + 169538118, + -1, + 530832921, + 421778718, + 650705491, + 364777294, + 418582154, + -1, + -1, + -1, + 45137996, + -1, + 387783166, + 255067265, + 873374995, + 42265496, + 759758750, + 140197664, + -1, + 253070507, + 983082257, + 871859986, + 675536446, + 96826405, + 31579530, + 750605950, + 745912616, + 341196292, + 448054111, + 301696013, + 664463336, + 995438248, + 430646298, + 667142081, + 304937932, + 16322569, + -1, + 219293258, + -1, + -1, + 208407704, + 547087868, + -1, + 725035003, + 417078131, + 742199013, + -1, + -1, + 409823514, + 534733585, + 731390353, + 887024477, + 598930981, + 152868042, + -1, + -1, + -1, + 181278012, + 279055496, + 754713077, + 980759184, + 433009900, + -1, + 320885173, + 869736774, + 688191585, + 183540144, + -1, + -1, + 850461213, + -1, + 867395999, + 838797284, + -1, + 337499592, + -1, + 648212025, + -1, + 814692692, + 977527142, + 881035468, + -1, + 675618949, + 145096739, + 839523436, + 466551671, + -1, + 866389635, + 852787084, + 57122570, + 934641278, + 544413404, + -1, + 714744033, + 802682400, + -1, + -1, + -1, + -1, + 828558721, + 958682095, + 607808229, + 508598442, + 626771647, + 907380687, + 687826943, + 895016353, + 25636051, + -1, + 854148429, + 750828044, + -1, + 832053306, + 596222484, + 454739799, + 626906206, + 769052415, + -1, + 293307690, + 137964258, + -1, + 571246420, + 529988528, + -1, + 342517399, + 479335590, + 577981802, + -1, + 505252790, + 971049914, + -1, + 546339277, + 823474206, + -1, + 942004639, + 765222929, + 187653456, + 144344884, + 13644597, + 974888943, + -1, + 85736521, + 603207649, + 85003787, + -1, + 939815538, + -1, + 671368480, + -1, + 747777782, + 501942584, + 172986286, + -1, + -1, + 102021161, + 874074333, + -1, + -1, + -1, + 425854497, + 641885676, + 46190162, + 100221829, + 56112165, + -1, + 338561059, + 569432414, + 764764155, + -1, + 717745601, + -1, + 974448543, + 21468348, + 705668717, + 871273520, + -1, + 940076838, + 995807406, + 497601100, + 594811780, + -1, + 502919875, + 419041240, + 223896665, + 288161424, + 686899367, + 49355787, + -1, + -1, + 237259298, + 208516272, + 653206065, + -1, + 809023842, + 769914462, + 410316527, + 926007760, + 151950294, + -1, + -1, + 411429295, + -1, + 960239690, + -1, + -1, + 293268667, + 610517990, + -1, + 708385326, + -1, + -1, + 503565104, + -1, + 318804495, + 818585532, + 707894378, + 906846032, + 648388092, + 894623270, + -1, + -1, + 86239982, + 467431031, + 327850797, + 511648530, + 867464381, + -1, + -1, + 550816477, + 801847612, + -1, + 776538503, + 937466058, + 692923751, + 850298975, + 205873580, + 454785864, + -1, + 242781070, + 954948192, + 223641390, + 787194929, + 496897767, + 255622679, + 641803517, + 787335927, + 253534823, + -1, + -1, + 613513747, + -1, + 266899993, + -1, + 650296197, + 266556551, + 898361232, + 643457388, + -1, + -1, + 993900999, + 227238938, + 592749397, + 169110508, + 301371977, + -1, + -1, + 358429452, + 462367281, + 855469611, + 934635852, + -1, + 530540439, + 305114986, + 287618799, + 418620707, + 252543760, + 67810807, + 989894859, + 255887060, + 681321328, + 550059380, + 749743544, + -1, + 217325851, + 601457699, + 868812366, + 494025230, + 714042191, + 355359921, + -1, + 255178077, + 762538345, + 659432497, + 850253934, + 120699187, + 265420542, + 508320045, + -1, + 792988854, + 130661332, + 395822387, + 799700242, + 469827985, + 185492180, + 455025901, + 373295053, + -1, + -1, + 710907097, + 78914831, + 388813624, + 192777041, + 997767140, + 135840734, + 867569329, + 835239840, + -1, + -1, + -1, + 924044362, + 428092754, + 196406970, + -1, + 455163861, + 745006258, + 251485120, + -1, + 216019761, + -1, + 718381972, + -1, + 338320871, + 95554164, + 504895632, + 376832759, + 948180414, + 210045201, + -1, + 795488964, + 466480166, + 659771595, + 813366284, + -1, + 722536688, + 255424940, + 77214770, + 380494615, + 472926188, + 733704346, + -1, + 912430795, + -1, + 518958486, + 693260671, + 779721202, + 55296351, + 133411318, + -1, + -1, + 728911910, + -1, + 461601908, + 857889120, + 591598053, + 600631116, + -1, + 798911078, + 236457857, + 139842023, + 488278914, + -1, + 535774554, + 346993118, + 835518825, + 427681441, + -1, + -1, + 41728861, + 581188297, + -1, + 3457511, + 176475711, + 974336231, + 213905968, + -1, + -1, + 728333381, + 920609975, + -1, + 223110161, + 967602306, + 410838852, + 69296729, + 37071344, + 346368199, + 64421188, + -1, + 649613661, + 711232113, + 353515878, + -1, + 668033258, + -1, + -1, + -1, + 87893879, + 969563467, + 480648038, + 798144657, + -1, + -1, + 264761415, + 110853375, + -1, + 619285252, + 646150914, + -1, + 530448147, + 755488528, + 175873109, + 864686941, + -1, + 580739678, + 817195098, + 750003529, + -1, + 266578800, + -1, + 220983048, + 854138664, + 296861778, + 12674673, + -1, + 722403912, + 652570277, + 685449730, + 145458443, + 366389641, + 645060995, + 690134321, + -1, + 277850960, + 332814324, + -1, + 416036917, + 711842909, + -1, + 974170924, + 585321129, + 726414895, + -1, + 809556229, + 578778137, + -1, + -1, + -1, + -1, + -1, + 264606900, + 341211616, + 780589962, + -1, + 175770714, + 467100150, + -1, + 579822338, + 940403110, + 167339777, + 70089449, + 648406851, + -1, + -1, + 46911489, + -1, + 101668402, + 80008403, + -1, + -1, + -1, + 715096228, + 300329466, + 10443825, + -1, + -1, + 562768601, + 359238207, + 912012954, + -1, + 217704778, + 836676548, + -1, + 27787502, + 735125191, + 37830132, + -1, + 348983524, + 676697332, + 756752562, + -1, + 643981244, + 652338013, + 941277662, + 490360037, + 46113635, + 656483608, + 419032569, + 466043147, + 5204107, + 694209521, + -1, + -1, + 719379941, + 324240272, + 470056832, + -1, + 623283552, + -1, + -1, + 15735121, + 892358115, + 624826358, + 652546111, + 647821769, + 491261131, + 286289936, + -1, + 462696365, + -1, + 713132709, + 540265106, + 890205681, + 947114501, + 551811903, + 456477179, + 570100671, + -1, + 16184078, + 137670953, + -1, + 768225368, + -1, + 257037825, + 11799883, + -1, + 431422838, + 419411429, + 696229392, + -1, + 7269214, + 325319252, + 619780389, + -1, + 935126713, + 922648644, + -1, + 915517253, + -1, + -1, + 377140099, + 177916971, + -1, + 985165296, + 979786038, + -1, + 732504917, + 815033346, + 700523281, + 613240865, + -1, + -1, + 363317266, + 161815244, + 936518686, + 334021890, + 849714411, + 627614001, + -1, + 170525155, + 509092938, + 191367801, + 394106927, + 62316895, + -1, + 313670735, + 583623901, + -1, + 254192848, + -1, + -1, + 335963167, + -1, + 817098016, + 591646183, + 561348866, + 915738257, + -1, + 213423941, + 306980722, + 731894206, + 975189858, + 145373477, + 214952319, + -1, + 53458618, + 243836628, + -1, + 340447195, + 311497331, + 441250282, + 823869444, + -1, + 492909322, + 361636463, + 360926649, + 126821061, + 825496581, + 690334152, + 544151298, + -1, + 865978086, + 709824319, + 488685624, + 550946436, + 372099443, + -1, + -1, + 257858391, + 370783436, + -1, + 365136445, + 787845637, + 109681191, + -1, + 930528951, + 299240437, + -1, + 306820063, + -1, + 766218260, + 846796550, + 934122688, + -1, + -1, + 154439360, + 824292483, + 932894213, + 146200477, + 261190523, + 4028104, + 433524335, + 576142602, + 891669905, + -1, + 288352049, + -1, + 64370358, + 120916380, + 852894926, + -1, + -1, + 920487300, + 865819067, + -1, + -1, + -1, + 198064613, + -1, + 884617077, + -1, + -1, + -1, + 527591505, + 296699056, + -1, + -1, + 379538872, + 246629319, + 43343638, + 501547556, + 887415084, + -1, + 602211653, + 789337465, + 64051519, + 674099145, + 574163687, + 276312664, + 21077702, + 835479805, + 232324761, + -1, + 396586017, + 629386251, + 357160909, + -1, + 874597138, + 513813969, + 882225480, + 615557486, + 910610783, + 239672256, + 563957627, + -1, + -1, + -1, + 780456463, + -1, + -1, + 540846613, + 88210420, + -1, + 346212907, + 414009916, + -1, + 302929275, + 317167765, + 208971269, + -1, + 490444004, + -1, + -1, + -1, + 470036561, + 458847174, + -1, + 874767922, + 746946100, + 617734344, + 870709603, + 423434899, + 15860146, + -1, + 601080179, + 597580321, + 545516185, + 865416183, + 432136756, + 336588709, + 429854642, + 785081550, + -1, + 807260432, + 76343541, + 661504797, + 27470899, + 299204120, + 7406223, + 309454199, + 157468060, + 260984519, + 888322208, + 824392454, + 212388252, + 366212835, + 597938024, + 511037448, + -1, + 614677048, + -1, + 249848807, + 428719059, + 255137787, + 902076238, + -1, + 840174370, + 280431522, + 529648757, + 522225846, + -1, + 563283669, + 741978872, + -1, + 879940659, + -1, + 363722980, + -1, + 843866553, + 354572149, + -1, + -1, + 908537173, + 439490901, + -1, + 312132544, + -1, + 45709072, + -1, + 22205169, + -1, + 277652728, + 945585388, + -1, + -1, + -1, + -1, + -1, + -1, + 94228930, + 845570042, + -1, + -1, + 495313604, + 988005487, + -1, + 523475065, + -1, + 801458966, + -1, + 925693832, + 379386185, + -1, + 953905763, + 683296075, + 730431496, + 346703362, + 102102906, + -1, + 263207143, + -1, + 737028538, + 958087941, + -1, + -1, + -1, + 823911394, + 772472056, + 276063689, + 364948898, + -1, + 868598416, + -1, + 82073146, + 105389591, + 145328949, + 706880401, + 307155266, + 769833296, + 582596515, + 771690147, + -1, + 884153526, + 14822334, + 875335380, + 692409762, + -1, + 89271399, + 174645630, + 322637814, + 225934459, + 837651871, + -1, + 995641019, + 427245126, + -1, + 230569547, + 29836271, + 114958590, + 506655072, + 55572521, + 804614034, + -1, + 350952830, + -1, + 702041365, + -1, + -1, + 329325227, + -1, + -1, + -1, + 702884699, + 417326997, + 304087021, + 44916501, + 156868976, + 640768067, + -1, + -1, + 749198943, + 698762860, + 60809094, + 299545336, + -1, + 891315147, + -1, + -1, + -1, + 422987161, + 662406418, + -1, + 633272913, + 599488111, + -1, + 299605767, + -1, + 502255411, + 408571535, + -1, + 404808977, + -1, + 605501632, + 596737444, + 782304764, + 930976870, + 504067458, + 981570319, + -1, + 659918, + 293576761, + -1, + 238243795, + 100904343, + 591182251, + 64677670, + -1, + -1, + -1, + 739605437, + 842769560, + 128519150, + 78822133, + 958446095, + 586762166, + -1, + -1, + 354670112, + 955832996, + -1, + 494704263, + -1, + -1, + 556091425, + 437070950, + 6594311, + -1, + 919196963, + 867252541, + -1, + 32086321, + 606779002, + 279275162, + 696806256, + 714704563, + 919148187, + 801839380, + 665415589, + 175669811, + -1, + 842406261, + -1, + 444111393, + 713962638, + -1, + -1, + 275120069, + 443900946, + 189879805, + -1, + 956960366, + 144411254, + 887242332, + -1, + 651523255, + 480808345, + 994366481, + -1, + 480467963, + 826814950, + -1, + 67765723, + 633296782, + 575047362, + -1, + 287458919, + 558407855, + 914616097, + 250676749, + 858908294, + -1, + 417823310, + 206188387, + 643092007, + 503377627, + 998254666, + 972473373, + 965983056, + 188998892, + 501370219, + 637366019, + -1, + 31971042, + -1, + -1, + 757826840, + 557192868, + 187438914, + -1, + -1, + -1, + 20317369, + -1, + 899627131, + -1, + -1, + 785464473, + 36829393, + -1, + 928118921, + 434922934, + 106535502, + 824620576, + 38826817, + 210371589, + 637432153, + -1, + -1, + -1, + 202647219, + -1, + -1, + 640895858, + 82326664, + 829702697, + 189557728, + 163235396, + 939230767, + 594172927, + 844493030, + -1, + 793574923, + 667124059, + 969625738, + 447938185, + 961215498, + -1, + 608684988, + 594150175, + 552344125, + 466264550, + -1, + 309906382, + 426920770, + 373736085, + -1, + 943118647, + -1, + 759529567, + 760400769, + 211530563, + 653437938, + -1, + -1, + -1, + 670468734, + 113418690, + 499969169, + 463565154, + 891484704, + 252566039, + 262208807, + -1, + 528949701, + -1, + 956712565, + 814686677, + 255905151, + 101941901, + 967451083, + 729246541, + 756700784, + 65051420, + 101743969, + 893261912, + 605307290, + 260180587, + 708287645, + 375316104, + -1, + -1, + 873836775, + -1, + 365947118, + 221086610, + 932766101, + -1, + 413297020, + -1, + -1, + 76735711, + 60620235, + 295756015, + -1, + -1, + 540383665, + 234776827, + 263014078, + 723618136, + -1, + -1, + 632493125, + -1, + 71837216, + 416844738, + 221775941, + -1, + 838097957, + 58037801, + -1, + 636617636, + -1, + 189551207, + 335679462, + -1, + 936216687, + 317749125, + 410024861, + 302063259, + -1, + 641129273, + 845874158, + 183061006, + -1, + 302455171, + 36964605, + 258186294, + -1, + 58661634, + 820259200, + 172964269, + 174250127, + 851794648, + 322613200, + 931392414, + -1, + 346047231, + -1, + 500047390, + -1, + 430032085, + -1, + 398584511, + 353290204, + 961868715, + -1, + 678943403, + 415994036, + 765508440, + -1, + 424749053, + 105957794, + 981976402, + 194369677, + 853114652, + 90277459, + -1, + 402551807, + -1, + -1, + -1, + -1, + -1, + 681208244, + 463646705, + 506293189, + 564978687, + -1, + 117929861, + 148282266, + -1, + -1, + 934576190, + 641294052, + 867499505, + 861273200, + 414942873, + 773066557, + 437603701, + 605617534, + 210373539, + -1, + -1, + 487741556, + 414352846, + 291703835, + 482640341, + 475657097, + 374039370, + 401141829, + -1, + -1, + 979540295, + 838660172, + 671736063, + 591439101, + 189821692, + 927821385, + -1, + 883284960, + -1, + -1, + 802244424, + 4556444, + 792818288, + 501241320, + 119061434, + 303042622, + 720429152, + 892485854, + -1, + -1, + 319871790, + 339933603, + -1, + 200794612, + 55998331, + 328050041, + 706408370, + 134456265, + 819568811, + -1, + 331947281, + -1, + -1, + -1, + -1, + -1, + 862485448, + 62593020, + 801194273, + 67498029, + 26143559, + 765338979, + 138148200, + 807258742, + -1, + -1, + 402877985, + 511229422, + 898949168, + 951199205, + 799174368, + 457698278, + 989790328, + -1, + 66639969, + 152160489, + 462369035, + -1, + 625023322, + 565491676, + 264676501, + 393677906, + 827075443, + 947168591, + -1, + -1, + 579499709, + 39829781, + 838362376, + 750156425, + 339221251, + 295083104, + -1, + 645815153, + 811449099, + 435803270, + 93475093, + 838353041, + 996187134, + -1, + 278790581, + -1, + 386316464, + -1, + -1, + 590816036, + 845275057, + 310260928, + -1, + -1, + -1, + -1, + 448570713, + -1, + -1, + 629090607, + 86163806, + -1, + 647887704, + 454129069, + 823430870, + -1, + 473956619, + 537764588, + 731540426, + 561026685, + 280138707, + -1, + 214956972, + -1, + 247092741, + -1, + 839101150, + 330008816, + 177453541, + 954059203, + -1, + -1, + 941436987, + -1, + 645918349, + 890371457, + -1, + 665600276, + 127265233, + -1, + 247205542, + 720509345, + 757955272, + -1, + 360331057, + -1, + -1, + -1, + 527369092, + 947729480, + 234433708, + -1, + 466292029, + 314439378, + -1, + -1, + 619712708, + 312484285, + 101717050, + -1, + 792002244, + -1, + -1, + 281958165, + -1, + 825624617, + 33878674, + -1, + -1, + 277800052, + 939155176, + -1, + 482806905, + -1, + -1, + 889643421, + -1, + 149690030, + -1, + 542636955, + 995967336, + 718539945, + -1, + -1, + 351331058, + 523483340, + 372440666, + -1, + 599281074, + -1, + 41350164, + -1, + 808737064, + -1, + 896652510, + -1, + 940007164, + 879071130, + 53101174, + 364446855, + 471915148, + -1, + 258294421, + 899108639, + -1, + 674152243, + 115320485, + 763829300, + 727816824, + 10490836, + 402427028, + 319178832, + -1, + 411951079, + -1, + 494407109, + -1, + -1, + -1, + -1, + 46074814, + 109714383, + -1, + 610332258, + 641948929, + 22549253, + -1, + -1, + -1, + -1, + 998341720, + 185858937, + 16591829, + -1, + 377474859, + -1, + -1, + -1, + -1, + -1, + 659254112, + 816997473, + 839994365, + 977999803, + -1, + 305272916, + 788867044, + 499148043, + 97515571, + 31888304, + 415717929, + 136630813, + 240160518, + -1, + 793591692, + -1, + 605549607, + -1, + 354018072, + 842136654, + -1, + 224169881, + 772262372, + 57157421, + 801805030, + -1, + 372321721, + 87308913, + 978730452, + 956103489, + -1, + 976565677, + -1, + 638213956, + 682149160, + 483226641, + 44330190, + 29169901, + 822212137, + 827051415, + 13698666, + 302217410, + -1, + -1, + 228217731, + -1, + 975090805, + -1, + 522567502, + 95525027, + 865328256, + 338906670, + 761559189, + 463982460, + 752055504, + -1, + 70969925, + 755351305, + -1, + 881201812, + -1, + 236559984, + -1, + -1, + 513447283, + 101021319, + 435661248, + -1, + -1, + -1, + 764776986, + -1, + -1, + 655549368, + -1, + 357895652, + 749820451, + -1, + 680855393, + 298950466, + 572792700, + -1, + 182978284, + 760297028, + 520089769, + 242806103, + -1, + 570626198, + 692484686, + 306775985, + -1, + 106888624, + 771652063, + 468380219, + 633676197, + 349865126, + 193656034, + 6210184, + -1, + -1, + 652331711, + 864392136, + 870538374, + 380496026, + -1, + 190119553, + -1, + -1, + -1, + 440304159, + 380234244, + -1, + 591701282, + -1, + -1, + 189121147, + 207002711, + 335284071, + 857944440, + -1, + 374897029, + 986907605, + 819424908, + 261578064, + 263156876, + 573798266, + 981770548, + -1, + 757817899, + 750971570, + 152534322, + 60882380, + 31266285, + -1, + 952543099, + 656251250, + 100684772, + -1, + -1, + 170101736, + 340175486, + 872024452, + -1, + -1, + 516860799, + 944654918, + 586314128, + -1, + 429917215, + 345655061, + 721896665, + 908871989, + -1, + 107808216, + 351567643, + -1, + 464749938, + -1, + 193416101, + 434913574, + 396864253, + 870909316, + 262037531, + 164012603, + -1, + 819762956, + -1, + -1, + 609144720, + 371465437, + 287632706, + -1, + -1, + 570693603, + 333292038, + -1, + 622208374, + 91531338, + -1, + 167624391, + -1, + 814220507, + 815263688, + -1, + 906165173, + 277734568, + 381789146, + 782928644, + 590295181, + -1, + 508941891, + 659625655, + 977814129, + 29613800, + 170679975, + 178123624, + -1, + 36575848, + 427678539, + -1, + 628485425, + 83931213, + 746899531, + 8875305, + 383094224, + 494188718, + 28981852, + 504608019, + 245125333, + 765220180, + -1, + 796261926, + 915049576, + -1, + 508375970, + 762476131, + -1, + 275377373, + 488610513, + 910001749, + 287573005, + 681128904, + 971993006, + 362440848, + 486802931, + 397018363, + -1, + -1, + -1, + 477144454, + -1, + 957553741, + 374009361, + -1, + -1, + 769775391, + 236380918, + -1, + 289748036, + 132004123, + -1, + 822048670, + -1, + -1, + -1, + 479481961, + 391102656, + 234496063, + 840382478, + -1, + 236195448, + -1, + -1, + 134296299, + 788491004, + 948135075, + -1, + -1, + 878116814, + -1, + -1, + 824265465, + 246069004, + 143306958, + 406526084, + 985836066, + 872496890, + 642027150, + 872791751, + 102449815, + 667466120, + 16147636, + -1, + -1, + 631428491, + -1, + 492260069, + -1, + 527696016, + 303993000, + 293621610, + -1, + -1, + 284044554, + 115804569, + 894340496, + 835794736, + 898887565, + 289945071, + 781747602, + 358665408, + -1, + 147321964, + 733318455, + -1, + -1, + -1, + 874465171, + 189555971, + 543775511, + 859082739, + 136150206, + 924503644, + -1, + 976576920, + 474981887, + 734429402, + 887218449, + -1, + 613141404, + 757043894, + 510181717, + 110236976, + 989282895, + -1, + 575450601, + -1, + -1, + 120167971, + -1, + 575117508, + 619355216, + 873590760, + 966300953, + 193185807, + 572818886, + 260221791, + -1, + -1, + 254506092, + -1, + 32353453, + -1, + -1, + -1, + 936754038, + 910225196, + 28683837, + 135437822, + 851100410, + 759296749, + -1, + 816738422, + 697145904, + -1, + 714926631, + 896316441, + 487851615, + 905608227, + 979128597, + 425242332, + 816508043, + -1, + 277858034, + 412519766, + 839845770, + -1, + 168042082, + -1, + 504095263, + -1, + -1, + 773423924, + 199525939, + 923516652, + 36054515, + 859031045, + 685376666, + -1, + 924700702, + 572867858, + 340140560, + 529183451, + -1, + -1, + -1, + 84033670, + -1, + -1, + 332921302, + 501115152, + 764087243, + 359219666, + 644961090, + 275945728, + 718109223, + 969152204, + 152008782, + 317963205, + 633117576, + -1, + 985437802, + 153239663, + 412130956, + 540231525, + 890318073, + -1, + -1, + -1, + 774709799, + -1, + -1, + 316323868, + 550248917, + 406317813, + -1, + 229028213, + 915076484, + 394454264, + 223297369, + -1, + 846019258, + -1, + 567001060, + 518783500, + -1, + 21824362, + 192984635, + 375691675, + 534251276, + 629095495, + 77660826, + 38358399, + 111444149, + 362153458, + 241540867, + -1, + -1, + 60894758, + 775300200, + 762187092, + 206685391, + 552478904, + 231272821, + 306723937, + 953102601, + 991244224, + -1, + -1, + -1, + -1, + 8455474, + -1, + 807106534, + 349628076, + -1, + 460061897, + 777410132, + 479628927, + 663681786, + 277303848, + -1, + 668860062, + 695287213, + -1, + 676821624, + -1, + 630653519, + 96008383, + 396468274, + 921549212, + 434016629, + 17928512, + 513251032, + -1, + -1, + -1, + -1, + -1, + 628507658, + 428573924, + -1, + 514481551, + 593652663, + -1, + 180890233, + -1, + 205486032, + -1, + 908413821, + -1, + 70585667, + 549858359, + 455588879, + 698639459, + 603789002, + -1, + 99171532, + 774664267, + 558905439, + 428913220, + -1, + -1, + 179852778, + 149947107, + 2860171, + 485999785, + 798721732, + 950164327, + -1, + 221681617, + -1, + -1, + -1, + -1, + 319338175, + -1, + 292764791, + 737769149, + 192655321, + 60384441, + 407366569, + 616988784, + 206584746, + 823875003, + 442317302, + -1, + 37583242, + 167919030, + -1, + 893914147, + 699616072, + 742816500, + -1, + 798977757, + 457936514, + 12664105, + 121686904, + 768359944, + 267849253, + 493482277, + 207864427, + -1, + 198084165, + 311324292, + 462165495, + 174207537, + 847636108, + 173923618, + -1, + 14484479, + -1, + -1, + 399187051, + -1, + 655110159, + -1, + 838350871, + 142484266, + 151245452, + 300447095, + -1, + -1, + -1, + 406886584, + 145344729, + 921589991, + 628145107, + 558125910, + -1, + 214706695, + -1, + -1, + 771129197, + -1, + 784671467, + -1, + 355025284, + 658376059, + 435017764, + 507702893, + 663726341, + 855174631, + 665140107, + -1, + 186294306, + -1, + 947414474, + -1, + 249590206, + 286690421, + -1, + 507224522, + -1, + 903657235, + 419035179, + -1, + 739237236, + 105291046, + 462769180, + -1, + 444182752, + -1, + 24360105, + -1, + 942180483, + 503086311, + 752416989, + 823970624, + 575449974, + -1, + 355054099, + 618224208, + -1, + 926794011, + 374106226, + 318463936, + 188300676, + 161531488, + 125302441, + -1, + 491039246, + 420242279, + 427699102, + 273234346, + -1, + 916819168, + 702413357, + 25494220, + 714074114, + 861351536, + -1, + -1, + -1, + 760750918, + 310310907, + 369593618, + 145483556, + 619610494, + -1, + -1, + 190810165, + 597600547, + 92875568, + 649275097, + 411486881, + 874080056, + -1, + 637858974, + -1, + 675441339, + 921637681, + 225309572, + -1, + 594755962, + -1, + 30850309, + -1, + 505346925, + 318550977, + 162496012, + -1, + 399326275, + -1, + 397083228, + 181383299, + 658184986, + 790317672, + 287635890, + 259647974, + 734529977, + 735251486, + 250793394, + 74738421, + -1, + 415482319, + 189316408, + 786846550, + 981852942, + 126177376, + 32046556, + 33197150, + 289139757, + 250900802, + -1, + 777347353, + 182076422, + 587621290, + 513059193, + 408988215, + 580275499, + 995856676, + 154363284, + 467065854, + 864545275, + 144062309, + 295670316, + -1, + 432869674, + -1, + -1, + 401137067, + 228363432, + -1, + 398266003, + 320951840, + 37570553, + 303059420, + 641721471, + 33429192, + 925538515, + 853288904, + 938409332, + 573072909, + -1, + 665862853, + 924221873, + 73809559, + 174820869, + 625748073, + 547936481, + 785852900, + 233191579, + -1, + -1, + 517003162, + -1, + 340713942, + 937274786, + 395535436, + 466341208, + 625930608, + -1, + 537282064, + -1, + 600704931, + -1, + 62635589, + 335235934, + -1, + 397294010, + 664456468, + 349459428, + 689309008, + 9295428, + 425596738, + 785843331, + 26550543, + 118201976, + 998742772, + 167004959, + 758367251, + 282547370, + 342524379, + 983011841, + 137734346, + 91557979, + -1, + -1, + 541516553, + 63425060, + 653114778, + 297687248, + 36055809, + 587811899, + 949388237, + 269244545, + 614427757, + 983010870, + 624974765, + -1, + 953461701, + 205978081, + 365901458, + -1, + 751146972, + -1, + 699644915, + 33149922, + 445829453, + 227026507, + -1, + -1, + -1, + 305037299, + 389214831, + 62840959, + 267435879, + 511319692, + -1, + 442503942, + 501314821, + 558970592, + 686479887, + 686270409, + 872527774, + -1, + 845763021, + 872578251, + 432483237, + 523484598, + 375430756, + 233571618, + 975035973, + 918974277, + 575561042, + -1, + 815795627, + 858101419, + 693444006, + -1, + 226656493, + 847661327, + 539649972, + 385893051, + -1, + 613123730, + 116419222, + 453081794, + -1, + 999202640, + 697024486, + 751078821, + 112025398, + 167176999, + 165830237, + 55006937, + 90922056, + 754953083, + 186215007, + 532475691, + 571641250, + -1, + -1, + 328650620, + 697772660, + 491796727, + 418271695, + 458276837, + 354336661, + 143427119, + -1, + 564496804, + 407546726, + 682269679, + 740874636, + 906126759, + -1, + 39794322, + -1, + 91451882, + 225088546, + 534245233, + 387967628, + 553325190, + 207464718, + -1, + 807568253, + 578492371, + 437449961, + 206394534, + 4777234, + 537948934, + 847453212, + 720404937, + 89960516, + 328182262, + 723219337, + 117474434, + 322684416, + 977056502, + -1, + 801106444, + 483683512, + 533085721, + 935283181, + 921605425, + 221518070, + -1, + -1, + 684149620, + 332869617, + -1, + 161193407, + 600314362, + 461785253, + 198271608, + 320147605, + -1, + 181453540, + 416286010, + 586040099, + 86947516, + 936099042, + 449879727, + 76020840, + 638954930, + 859799436, + -1, + -1, + -1, + 274565081, + -1, + -1, + 802968498, + 256413677, + 177819004, + -1, + 653034492, + 537706164, + 967968011, + 847447700, + 527081445, + 101056995, + 240444744, + 832560889, + -1, + 551820652, + 866607047, + 696173044, + -1, + 145986764, + 980675208, + -1, + 293876665, + 612642966, + 841732817, + 952141704, + -1, + -1, + -1, + 140372288, + 425969425, + 896918555, + 906652769, + 477887503, + 729927407, + 415972157, + 327833438, + 648636090, + 635481166, + -1, + 563756035, + -1, + -1, + 652573544, + -1, + 917041801, + 671776593, + 876578523, + 983334005, + 102878749, + 999031096, + 254250968, + 707598957, + 119959229, + 86318478, + -1, + 722719706, + -1, + 893245392, + 123428464, + -1, + 799571278, + 615786613, + 207753136, + 41273883, + 617206765, + -1, + 641219609, + 320546145, + -1, + 370409572, + 783477602, + 283431552, + 881628522, + 342689898, + 513003098, + 830504391, + 206859994, + -1, + 904050131, + 988368391, + -1, + 585906442, + 326172032, + 211581873, + 106780961, + 12445041, + 358503903, + 415595956, + 129957826, + -1, + -1, + 788954187, + 476382374, + -1, + 211124951, + 857909139, + 373261427, + 699243024, + 315534433, + -1, + 898881588, + 675234099, + 994549733, + -1, + 336326352, + -1, + 647661332, + 273444244, + 704193611, + 349865999, + -1, + -1, + 336794798, + 143617137, + 28123186, + 771815395, + -1, + 480138706, + 803311774, + -1, + 571408622, + 663400706, + 464428071, + -1, + 23952629, + 507295788, + 422046780, + -1, + -1, + 785167886, + 420228218, + 403603845, + 229788302, + -1, + -1, + 926491547, + 242634536, + 680877433, + 623032045, + -1, + -1, + -1, + -1, + -1, + 171013948, + 660594934, + 99846145, + -1, + 469291976, + 535981764, + -1, + -1, + 929522620, + 652019575, + -1, + 471978613, + -1, + -1, + 62022964, + -1, + 400542495, + 837375887, + -1, + 253561954, + -1, + 328160591, + 1603472, + 704841209, + -1, + -1, + 48673825, + -1, + 915977538, + 220454622, + -1, + -1, + -1, + 88163680, + -1, + -1, + -1, + 183028168, + 449665706, + 990104112, + 592434338, + 95049898, + 931655419, + -1, + -1, + 441692129, + 912459456, + -1, + -1, + 323130233, + 867292477, + 904389162, + 344390814, + 755975468, + 471103231, + -1, + 684867674, + 798183089, + 697706137, + 550710059, + 826191695, + 339595674, + 373535087, + 879602571, + 707749307, + 962604693, + 189977158, + -1, + 49766267, + 358793156, + -1, + 471666149, + 12351044, + 791403981, + 901028076, + 509465275, + 576477285, + 332004598, + 383608950, + -1, + 747297503, + -1, + -1, + 51427180, + 733114070, + -1, + 683514790, + 45795987, + 940313667, + 404945813, + -1, + 648489817, + 768363276, + 679536138, + -1, + 101425803, + 314540197, + -1, + 835478273, + -1, + -1, + -1, + 338170601, + -1, + 781973208, + 53733954, + 946554146, + 601963405, + 699208248, + -1, + 181775990, + 108792324, + 505706220, + 413392211, + -1, + 994877902, + -1, + -1, + 359691628, + 750958865, + -1, + -1, + 404088490, + 609626359, + 391488071, + -1, + 435608058, + 46169818, + -1, + 122978782, + 224763374, + 555322601, + 784328116, + 851395252, + -1, + 427313074, + 77836165, + 883523689, + 486749604, + -1, + 11715696, + -1, + 421459462, + -1, + -1, + 117970200, + 542744617, + 434909261, + 284215465, + 850416973, + 759678815, + 916068698, + 833055913, + 813403452, + -1, + 245719063, + 250873935, + 457122252, + -1, + -1, + 462717383, + 89549104, + 267525795, + 612673922, + 386046533, + 109783443, + 260753334, + 756202161, + 493871248, + -1, + 841834185, + -1, + 151158175, + 778224188, + 165529815, + -1, + 793359989, + 134542025, + -1, + 23231986, + 951184108, + 632967145, + -1, + 155950024, + -1, + 405632617, + 322536736, + 940256925, + 496344329, + -1, + 870380931, + 381867545, + 334612195, + 734620091, + 577936219, + 504715044, + 813851888, + 102548793, + 46641586, + 58481255, + 649837179, + -1, + -1, + 965261032, + 253277892, + 241752855, + 899767479, + -1, + 586992393, + 714128069, + -1, + -1, + 763153184, + 86775481, + -1, + 666656664, + 325284587, + -1, + 936076657, + 937509897, + 99400415, + 125341693, + 410919088, + 376035166, + 544428718, + -1, + 277260888, + 336214035, + 314571239, + 664111038, + -1, + 208403519, + -1, + 673167554, + 800677886, + 826331080, + -1, + 50916769, + 184735539, + -1, + 807885241, + 551832075, + 344167390, + 707937038, + 815086663, + 21436439, + 532379413, + 60220991, + 879001055, + 683677330, + 562793146, + 392640898, + 340099501, + 708712050, + -1, + 546244835, + 224801487, + 752402498, + -1, + -1, + 39013026, + 26691246, + 507503143, + 498539032, + 126579892, + 935045377, + 723733441, + -1, + 644841804, + 545626962, + 778828145, + 658102708, + -1, + -1, + 154754806, + 58979539, + 275993078, + 582832119, + 431895735, + -1, + -1, + 154754583, + 463935452, + -1, + 131986355, + 307425857, + -1, + 563464296, + 863066943, + 490254656, + 602977643, + 331271680, + 269481544, + 893119787, + 708790226, + 657987918, + 383126440, + -1, + 748271691, + 896294638, + 164080876, + -1, + 780452521, + 9234198, + 908446358, + 59096947, + 151585241, + 413791514, + 146900557, + 299131810, + 116062813, + 450094899, + -1, + -1, + 857843411, + 558169594, + -1, + 947571382, + 78119784, + -1, + 595314489, + 408239410, + -1, + 840311289, + 871707464, + 524373578, + 389162620, + -1, + 896637234, + 887387263, + 675258802, + 530100819, + 919982510, + 568729407, + 204137616, + 371889947, + 758349037, + 502799881, + 595470013, + -1, + -1, + 236793418, + -1, + -1, + -1, + -1, + 125359217, + 190121332, + 174655756, + -1, + 138830842, + -1, + -1, + -1, + 786515725, + 760728244, + 145882218, + 876190879, + 353031485, + 138138811, + -1, + 325746532, + -1, + -1, + -1, + 735701208, + 330610150, + -1, + 536176929, + 788756722, + 550939690, + -1, + -1, + 432137156, + 689531692, + -1, + -1, + 60079110, + 884402136, + -1, + 442394258, + 20657014, + 332417826, + 613287989, + -1, + -1, + 808375454, + 945636356, + -1, + -1, + 492368410, + 237859923, + 85444141, + 782285905, + 290107095, + -1, + 499381482, + 664881333, + -1, + 215277933, + -1, + 187362342, + 585906238, + 960116292, + 808443969, + 692187037, + 653680975, + -1, + -1, + -1, + 197526554, + -1, + 17970249, + 536564562, + 282979935, + 694763400, + 106172610, + -1, + 95383913, + 221058347, + 33084481, + -1, + 270199236, + 361713918, + 942188230, + 505371747, + 611694771, + 826282934, + 160791217, + 181906537, + -1, + -1, + 716177006, + -1, + -1, + 889099884, + 301169862, + 109298096, + 776622787, + 393946874, + 449087225, + 549464565, + 554009027, + 287011051, + 29012239, + 481695892, + 505289871, + -1, + -1, + 171061348, + 868224576, + 589108186, + 241240260, + 895598408, + 308532199, + 702886808, + 903910291, + 233340548, + 387171779, + 557150855, + 136890605, + 628608963, + 518528652, + 778559074, + 634286839, + 870080483, + 849772732, + -1, + 698382696, + 115184016, + 638850289, + 406815841, + 218967597, + -1, + 745747673, + 548937695, + 628979560, + 347325603, + 954753991, + 560451436, + -1, + 966919842, + -1, + 230498851, + -1, + -1, + 464391970, + 74636150, + 970267778, + -1, + 377692095, + 641544368, + 127592610, + 986053957, + 922269875, + -1, + 489975583, + 939296292, + -1, + -1, + 814469490, + -1, + 511949386, + 700736836, + 790971907, + 136213931, + 858413150, + 450274157, + -1, + -1, + -1, + -1, + -1, + 792524522, + 968910992, + 929628645, + 812842574, + 158110746, + 820827347, + 331748572, + -1, + -1, + -1, + 621490376, + 186465481, + 861455288, + -1, + -1, + 108977683, + -1, + -1, + 737728600, + 771549088, + 476716085, + 403232271, + 256035481, + 120625528, + -1, + 3226341, + 905915109, + -1, + -1, + 336864216, + -1, + 690524611, + -1, + -1, + 38447642, + 963261857, + -1, + 919240804, + 713953665, + -1, + 530144545, + -1, + 145565332, + -1, + 218296880, + 896705328, + -1, + 759413070, + -1, + -1, + 824946737, + 181356974, + 258696328, + 395398740, + 550870681, + 985270142, + 998324269, + 796444491, + 20545790, + 33902627, + 872158134, + -1, + 415013092, + 626057180, + 172548493, + 388650566, + 972819830, + -1, + -1, + 746532452, + 459532344, + -1, + 477147001, + 382001942, + -1, + 614162694, + -1, + 340575363, + 636219932, + 240093436, + 127699298, + -1, + 542660092, + 231066910, + -1, + 172433999, + 38618460, + 60823857, + -1, + 816891592, + 160710860, + 399085338, + 856039926, + 281999774, + 152226213, + -1, + 897418697, + -1, + 173569210, + 799376509, + 744967271, + 710908485, + 919829122, + -1, + -1, + -1, + -1, + 416728249, + -1, + 114106865, + 987057047, + -1, + 643739649, + -1, + 129823178, + 925638729, + -1, + 657301328, + 887764779, + -1, + 890909275, + 732366309, + -1, + 887998257, + -1, + 450473431, + 279625931, + -1, + 50902013, + -1, + 648194023, + 118915608, + 965269805, + 901182121, + 949933622, + 124028368, + 667104444, + 957587174, + 576257139, + 132635083, + 932622737, + 401721352, + -1, + 225221794, + -1, + -1, + 454048850, + 280914630, + -1, + -1, + 390097812, + 383048506, + 491122991, + 16873344, + 473321350, + 136831393, + -1, + 156347104, + 550754346, + -1, + -1, + 769207529, + 58026982, + -1, + -1, + 662333918, + 642130952, + -1, + 186610536, + -1, + 498650434, + -1, + 67230259, + -1, + 332281587, + -1, + 401082585, + -1, + 310944256, + 468268839, + -1, + -1, + 199526739, + -1, + -1, + -1, + 735955089, + 663044771, + 779238759, + -1, + 537319162, + -1, + 132503549, + 4698975, + -1, + 190079725, + -1, + 291856585, + 997416455, + -1, + 559616028, + -1, + -1, + -1, + -1, + 189671890, + 590506201, + 632409179, + 217671142, + 252876586, + 654114961, + -1, + -1, + 768390301, + 685762720, + -1, + -1, + 536223697, + -1, + 70833568, + -1, + 596336011, + -1, + -1, + 658376801, + 206612620, + 584039036, + -1, + -1, + -1, + 731834975, + -1, + -1, + 820602703, + 654632896, + 452555459, + 123341380, + 837740764, + -1, + 290553612, + 362328592, + -1, + -1, + 831847126, + 328918580, + 619659437, + 176153197, + 307158542, + -1, + 264139624, + 994541436, + 573045606, + -1, + 405024444, + 513632386, + -1, + -1, + 910287807, + 264990753, + 217497813, + 885946162, + -1, + -1, + -1, + -1, + -1, + 111323759, + 985148751, + 165587190, + 846441425, + -1, + -1, + 58636238, + 357722484, + -1, + 601859268, + -1, + 614759950, + -1, + 996369471, + 337040502, + -1, + -1, + 743601623, + 371784081, + 977674734, + -1, + 153123228, + 632136529, + 267555160, + 874110227, + -1, + 202930323, + 885091877, + 698047050, + 96969375, + -1, + 264623157, + 194259035, + -1, + 269032728, + -1, + 254953422, + 884110481, + 214215454, + 734455416, + -1, + -1, + 892366022, + -1, + -1, + 160754590, + 171450511, + -1, + -1, + 561744833, + 227780167, + -1, + 992063073, + 233631119, + -1, + 714484124, + 366977348, + 603274759, + 631394492, + 635295231, + 874864919, + 496427616, + 680170769, + 714913521, + 187639925, + 761612229, + 487568877, + 813588278, + 580275263, + 341688879, + -1, + 476509424, + -1, + 806076942, + 583109971, + 270166500, + -1, + 61124429, + 153653914, + 849426130, + 112116765, + -1, + 282773973, + 871606915, + -1, + -1, + -1, + 455168711, + 709906229, + 427133380, + 911112231, + -1, + 907819876, + -1, + 428713447, + 613443206, + -1, + 451028493, + 932337409, + -1, + 774887083, + 726241807, + 371965260, + 346242032, + 513919524, + 118155122, + -1, + 921778755, + 763689471, + 255710690, + 950360223, + 654400913, + 938028738, + 706096703, + 369766674, + 785087035, + 931018222, + 672030503, + 820203996, + 529914679, + 600427009, + -1, + -1, + -1, + 630437745, + 21278475, + 920177085, + 90942391, + -1, + 135246928, + 283282753, + 42267293, + 671323388, + 605358183, + 654115237, + 106899572, + -1, + 674794662, + -1, + 790510218, + -1, + -1, + 324088075, + 847355826, + 230609349, + -1, + 995083870, + 518627642, + -1, + -1, + 150862634, + 190883680, + 630094317, + 546636120, + 736312484, + 12733217, + 742585425, + 752164137, + -1, + -1, + -1, + 17134508, + 623733876, + 577877149, + -1, + 649974422, + -1, + 340022167, + 441327628, + -1, + 946473957, + 18409857, + 356180481, + 272367213, + 145360688, + -1, + -1, + -1, + -1, + 201695326, + 324410730, + 276380595, + -1, + 216129027, + 600980612, + 635741768, + -1, + 21653772, + 99793902, + -1, + 857908208, + 249687799, + 948724728, + 474187417, + 644693982, + 906522950, + 213181070, + -1, + 679080792, + 231385088, + 340197832, + 673052323, + 559117105, + -1, + 21096133, + 991567052, + 41005307, + 991153290, + -1, + 169931095, + -1, + 772225573, + -1, + 666989213, + 767432260, + -1, + 237637824, + 361500897, + -1, + 685135398, + -1, + -1, + 754032058, + 484527444, + -1, + 863232408, + -1, + -1, + 791283785, + 367524427, + 665581863, + 475379931, + 73597966, + -1, + 798213949, + 933051305, + 22537337, + 762087055, + 918417891, + 238206105, + -1, + -1, + 99507937, + -1, + 553998840, + -1, + 720066308, + -1, + 508871032, + 43465768, + -1, + -1, + -1, + 193029794, + 162819510, + -1, + -1, + 974662744, + 296838004, + 490281731, + -1, + 332572167, + -1, + 144338610, + -1, + 13220323, + 281226458, + 936638623, + -1, + -1, + 881716516, + 724367977, + 213304494, + 52818437, + -1, + -1, + -1, + 527481398, + 343766516, + 177376269, + -1, + 50606528, + -1, + 834129413, + 72063974, + 349948765, + 201459322, + -1, + 852313174, + 64297081, + -1, + 998847306, + 191640214, + 122817067, + 28133918, + 139540137, + -1, + -1, + 738881176, + 431144483, + -1, + -1, + -1, + 583223603, + 806115723, + -1, + -1, + 694777274, + -1, + 126069175, + -1, + 755213297, + -1, + 75536228, + 217077001, + -1, + -1, + 255460263, + 588340816, + -1, + -1, + 258425495, + 842483228, + 827936786, + -1, + 856762257, + 405362050, + -1, + 328845637, + 673127224, + 351936936, + 289434851, + 776171651, + 505547642, + 743142072, + 588437974, + 573935788, + 115256516, + 786426569, + 314612052, + 126117562, + -1, + -1, + 516143256, + 500319782, + -1, + -1, + 779703152, + -1, + 434184586, + -1, + 846508680, + 122812615, + 709833164, + -1, + 551104971, + 599402086, + 165375841, + 729627260, + 418996421, + 443056903, + 378841819, + 772300744, + -1, + 684060983, + -1, + 701835710, + 303853495, + 345328078, + 356267473, + 159811189, + -1, + -1, + 124526993, + 511408385, + 78553901, + -1, + 639162338, + -1, + -1, + 55923689, + -1, + 305271791, + 53017177, + -1, + -1, + 863073998, + 11285218, + -1, + 954050976, + 315691551, + 65018572, + 22131442, + 796964732, + 656854278, + -1, + 579641382, + 177727530, + 367777509, + 15908880, + 903997333, + 566294031, + -1, + 378437406, + 753877573, + 831553017, + 976989959, + 351716666, + -1, + -1, + 59976931, + 795335640, + 270292914, + 835313402, + 134521261, + 995763363, + -1, + 292659000, + -1, + 806712883, + 103240040, + -1, + 855591828, + 480005948, + -1, + 374639156, + 946565123, + 681541723, + 472710780, + 761780441, + 617574978, + 789840196, + 273569282, + 381788592, + 927899015, + 455556297, + -1, + -1, + -1, + -1, + 443681865, + 852586406, + -1, + 704477224, + 423649816, + -1, + -1, + 876402915, + -1, + 359838282, + 615845563, + -1, + 845362694, + 646647713, + 465270768, + 441376695, + 471151543, + 226969450, + -1, + 329774961, + -1, + -1, + 154848534, + 193649284, + 24415289, + 75680874, + 896229951, + 41688036, + -1, + -1, + 489629299, + -1, + -1, + 731600203, + -1, + -1, + -1, + 840576322, + 690093708, + 640670265, + 446655131, + -1, + -1, + -1, + 160076248, + 20815124, + -1, + 747274760, + -1, + -1, + -1, + 290769960, + 620002906, + -1, + 331410973, + 547421419, + 376248828, + 678068806, + -1, + 496484388, + 534192324, + 696592780, + 484919785, + -1, + -1, + 471162531, + -1, + 57099074, + 468970935, + 275932583, + 948058369, + 74492353, + 395394723, + 496255101, + -1, + 248280396, + -1, + 269304735, + -1, + 115393731, + 123011604, + 88834268, + 753580407, + 266175825, + -1, + 371740929, + -1, + -1, + 809391749, + 835965511, + 786917850, + 654790142, + 384456417, + 23003214, + 454147196, + 634837503, + 871099898, + -1, + -1, + 481686828, + 916526875, + 846584773, + -1, + -1, + 50182680, + 863577354, + -1, + 675186191, + 982127279, + -1, + 76957090, + 13166832, + 412789124, + 530955342, + 727364921, + 923418947, + -1, + 626231364, + 307866421, + 697602371, + -1, + 608100907, + 364889627, + 72326730, + 655800404, + 656433154, + -1, + 633211678, + -1, + 933250090, + -1, + -1, + 388362650, + -1, + -1, + 576751167, + 326253017, + -1, + 527649689, + -1, + 924621373, + 793114283, + 312967081, + 134242123, + 806027767, + -1, + 278054549, + 820858541, + 937628196, + -1, + 987793690, + 707657667, + 675372607, + -1, + 251033236, + 485124229, + -1, + 699191678, + 300108466, + -1, + 691735158, + -1, + 362605390, + -1, + 476308015, + 767309366, + 197713898, + 223984287, + 443523487, + 597881758, + -1, + 987684031, + 119770980, + 706684435, + -1, + 675150472, + 644264487, + 326735428, + -1, + 303392492, + 325936285, + 313698938, + -1, + 735121383, + 681276385, + 761185828, + -1, + 488668160, + 738015584, + 533632688, + 783700578, + -1, + 888120883, + -1, + 304961275, + 142806009, + 84439695, + 451953671, + 63877866, + -1, + 587801463, + 844371744, + 613006333, + 810288702, + 655627922, + -1, + -1, + 941775286, + 404815813, + -1, + -1, + 373359114, + 912014522, + 802803210, + 960599857, + 425069888, + 99987914, + 627442808, + -1, + 624531854, + 11907558, + 659007653, + -1, + 718793349, + 371185301, + -1, + 786217902, + 601615683, + 474881726, + 20985111, + 209156465, + 127305074, + -1, + 323764243, + -1, + 527989588, + -1, + 948623163, + -1, + 356905520, + 827268700, + -1, + 273377893, + -1, + 732320518, + 411327206, + 729348869, + 860292632, + -1, + -1, + 531969903, + 396779043, + -1, + 871902335, + 272756159, + -1, + 101839444, + 386282602, + -1, + 412391278, + -1, + 114144927, + 314397041, + -1, + 872540506, + 39317694, + -1, + 470428035, + -1, + 799721153, + -1, + -1, + -1, + 376541853, + 586207469, + -1, + 179142971, + 962671527, + 553369585, + 927540247, + -1, + 199863199, + 669094748, + -1, + 386137405, + 685281584, + 547692194, + -1, + -1, + 958014859, + -1, + 365017919, + -1, + 265035921, + 908790042, + 237619175, + 917560713, + 303509370, + 432294154, + 390326980, + -1, + 417824982, + -1, + 711915402, + 576918585, + 351506092, + 474376851, + -1, + -1, + 256620325, + -1, + 672013936, + 147406352, + -1, + 425950964, + 63550005, + 417169856, + 119181686, + 650763447, + 779249188, + 273088145, + -1, + 599088564, + 562905139, + -1, + 593385704, + 850966341, + 759616545, + -1, + 608757709, + 624144471, + 708047182, + -1, + 628165125, + -1, + 415879127, + -1, + 667898090, + 544480206, + 500780400, + -1, + 363002042, + 820563647, + -1, + 632370364, + 908187053, + -1, + 682125163, + 679655119, + 439685855, + 845147072, + 961452562, + 493078065, + 177653293, + -1, + 475222393, + 134877684, + 567323399, + -1, + 488494226, + -1, + 756685984, + 764192366, + 351322390, + 487385592, + 180752683, + -1, + 442904829, + -1, + 979414235, + 872030635, + 500481876, + -1, + 526408927, + 51654050, + 474734270, + 476468609, + 873111216, + 788916095, + 544013983, + 970474517, + 464359969, + 697754338, + 119773918, + 115725376, + 487821216, + -1, + -1, + 563384344, + -1, + 646292322, + 749917973, + 924659488, + 588972004, + 671425383, + -1, + 307841629, + 516986089, + 638576027, + -1, + -1, + -1, + 865345979, + 44557952, + -1, + 644963923, + -1, + -1, + 174430443, + 252565207, + -1, + 948118975, + 636339526, + 332575916, + 261730319, + 882579359, + -1, + -1, + 434959942, + 799268344, + -1, + -1, + 636719205, + 444556261, + -1, + 783970271, + -1, + 62232783, + -1, + -1, + 94276685, + -1, + -1, + 981351841, + -1, + -1, + 471627000, + 721115724, + -1, + 488146422, + -1, + -1, + 782542962, + 509730080, + -1, + 510672385, + -1, + -1, + -1, + -1, + -1, + 376589906, + -1, + 441233481, + 631471375, + 850872051, + 923712494, + -1, + 40309858, + -1, + -1, + 184877766, + 780564388, + 882262958, + 761481177, + 217200541, + 937518013, + 881559368, + 403164393, + -1, + -1, + 378926414, + 164915603, + -1, + -1, + 211317486, + 475025806, + -1, + 861329924, + 503467386, + 888538377, + -1, + 301507277, + 342106993, + -1, + 881408412, + -1, + 256546150, + 928889238, + 664929664, + 690736966, + 703297351, + 413708825, + 893771267, + 227062834, + 853232889, + 303372710, + 586144866, + 539583868, + 694281221, + -1, + 103098640, + 12641412, + 952227224, + 694494919, + 22296125, + 171429392, + -1, + 267571731, + -1, + 536020488, + -1, + 664778182, + 722379360, + 812492630, + -1, + -1, + 623253448, + -1, + 696489668, + 89630856, + -1, + -1, + -1, + 163483070, + 726078688, + 563958836, + 560895523, + 381534591, + 891060690, + 984445122, + 906286877, + -1, + -1, + -1, + -1, + -1, + 917964051, + 235891970, + 627456654, + 105306855, + -1, + 279528361, + -1, + 20742484, + 697030905, + 602081848, + 427973445, + -1, + 25827829, + -1, + 770424443, + -1, + 713946168, + 503915679, + 408687494, + 923428461, + -1, + -1, + 906073109, + 542273907, + 256735513, + 969323865, + -1, + 767822201, + 616054888, + 208653374, + 989286818, + -1, + 343654466, + -1, + -1, + -1, + 103992992, + 834958737, + 577384241, + 134702766, + 393364567, + 949716901, + 105037952, + 125551651, + 865564461, + 293939798, + 589582541, + 267405674, + -1, + 468893990, + -1, + 356071796, + -1, + 366018892, + -1, + 778342777, + -1, + -1, + 781467386, + 180294037, + 55525835, + -1, + -1, + 939400326, + 355285246, + 120261700, + 748139355, + -1, + 89251548, + -1, + -1, + -1, + 971476250, + -1, + 616621943, + 127412895, + -1, + 592794189, + 96490731, + 904324762, + 299052973, + 890460366, + 754476389, + -1, + -1, + 941604762, + 491184762, + -1, + 640654549, + 683408974, + -1, + -1, + 602109447, + -1, + 190465482, + -1, + -1, + 443029630, + 751670745, + 479679593, + -1, + 411648450, + 975680103, + 588247117, + 651251533, + -1, + 450932294, + 570647570, + 621740005, + -1, + -1, + 156855983, + 119680877, + -1, + 638932200, + -1, + 76974308, + 957259653, + -1, + 340733578, + -1, + 115752335, + 328272882, + 253166118, + -1, + 954252806, + -1, + 533158289, + 686577313, + 54849436, + 73172902, + 419395986, + 241707739, + -1, + 336329555, + 866044201, + 319679368, + 970790186, + 495627078, + -1, + 793085681, + 927068976, + -1, + 264699138, + -1, + 592655436, + -1, + -1, + 439866432, + 35777223, + -1, + 457187734, + 726266605, + 377083246, + -1, + -1, + 535828984, + 39148242, + 694719025, + 544102342, + 41090290, + 3619397, + 17833340, + -1, + 816679981, + 169625913, + -1, + 460784180, + -1, + -1, + 536135762, + 223870123, + 889027611, + -1, + 354785738, + 157881003, + 438341551, + 122176000, + 308708745, + -1, + -1, + 319481184, + 652311054, + 472752238, + -1, + 218801293, + 472366397, + -1, + 427610676, + 724348334, + -1, + 641272031, + -1, + 641457356, + 160702247, + 192924391, + -1, + 318283726, + -1, + -1, + 547734156, + 678676249, + 849864137, + 480123842, + 135483707, + 249903385, + -1, + 172177852, + 720724088, + -1, + 605809714, + 424891451, + -1, + 558180251, + 678443257, + -1, + 806473303, + 353414719, + 973689485, + -1, + 563249767, + 110358266, + 17776454, + 493591815, + -1, + -1, + -1, + 402518842, + -1, + 104986766, + 699563872, + 724497481, + 802776387, + 904585481, + 354651717, + 357169437, + -1, + -1, + -1, + 143067501, + 274817184, + -1, + 637427531, + 717608682, + 932454757, + -1, + 669720968, + 676268255, + -1, + 19056901, + 355895665, + 427695295, + 239087112, + 412458155, + -1, + -1, + 986652760, + 71528360, + 429170171, + 188828625, + 279858178, + 406846061, + 218960558, + 289573519, + 281597039, + -1, + 637500929, + 147532160, + 7287198, + 931420924, + 73082514, + -1, + 505058924, + 661982664, + -1, + 49612972, + 210614995, + -1, + 446778708, + -1, + -1, + -1, + 173520326, + -1, + -1, + -1, + 650882895, + -1, + 253438727, + -1, + 648163473, + 116495031, + 299696551, + 693943503, + 137828167, + -1, + 301363211, + 658890111, + 300898390, + 93464765, + 23940497, + -1, + 945881344, + 374101270, + 575679380, + 628440691, + 540885409, + -1, + 906926032, + 442707989, + 724886199, + -1, + 35880204, + 541977368, + 732733763, + 198943374, + 185908548, + 775136573, + -1, + 534644054, + 321180838, + -1, + 574115613, + 699252170, + -1, + 848021409, + 271274416, + 766723726, + 983259495, + 978869939, + 314339709, + 42591020, + -1, + 208051358, + 465581412, + 608202405, + 830123610, + -1, + 753373410, + 415649026, + 564933891, + 498250290, + 400182331, + 967015389, + 217163943, + 867124066, + 784729792, + 588209392, + 38564475, + -1, + 122702894, + 491134001, + -1, + -1, + -1, + 660370405, + 56147922, + 812621596, + 179494307, + -1, + -1, + 76312487, + 705722019, + 892203415, + 909799005, + 349786100, + -1, + 541753820, + 946338490, + 366357800, + 817913158, + 571385608, + -1, + 254803125, + 456510043, + 184864921, + 198602960, + 575760387, + 816774027, + 106027657, + 337163410, + 78573781, + 450000688, + 964770955, + 657907029, + -1, + 611057996, + 588160438, + 115001631, + -1, + 233087706, + 774969892, + 256031123, + 171017542, + 823154337, + 974258789, + -1, + -1, + 935341482, + 713470147, + -1, + -1, + 726447520, + -1, + 182806485, + 883405656, + 38281125, + -1, + 361602477, + 997321829, + 212273974, + 318678578, + 371937606, + 926748398, + -1, + -1, + -1, + 567345601, + -1, + -1, + 186765009, + 854449453, + 973264327, + 874393490, + -1, + 288364086, + 297909748, + 808138329, + 770312720, + 994384184, + -1, + 534272723, + -1, + -1, + 915041805, + -1, + 578901434, + 319933953, + -1, + -1, + 994648874, + -1, + 570877625, + 108564141, + -1, + 546033882, + -1, + 24409373, + -1, + 332558859, + 482578331, + 673722723, + 957150786, + 960371095, + 565965706, + 902352914, + 977772779, + 724985485, + 25973518, + -1, + -1, + 436485982, + -1, + -1, + -1, + 917973774, + 845679438, + 724095599, + 865342570, + -1, + 564521283, + 448145484, + 99689673, + 513126898, + 358422045, + 408254498, + 4610878, + -1, + 133845206, + 265365920, + 525608109, + 777728762, + 603415788, + 357815550, + -1, + 131261836, + 506434582, + -1, + 871171641, + 464064977, + 887026813, + 348401227, + -1, + 680964553, + 443807835, + 213049627, + -1, + -1, + 950282396, + -1, + 406999461, + -1, + -1, + 672809001, + 18609613, + 641974309, + -1, + 706439097, + -1, + 536220570, + 436544695, + -1, + 431055126, + 139085630, + -1, + 798430182, + 530001915, + 920145005, + 13715081, + 699497907, + 250252548, + -1, + 948446220, + -1, + -1, + -1, + -1, + 445525478, + 243080779, + -1, + 163734740, + 897306227, + -1, + 748222460, + 602421892, + 52698273, + 269727372, + 247140221, + 420871746, + 452091440, + 695548851, + 82699048, + 865167651, + -1, + 40927844, + 896178347, + 695726661, + 297477924, + 2720100, + 687711100, + -1, + 492520097, + 346381629, + 865201726, + 828171284, + -1, + 828045143, + 560257723, + 333165473, + 65942774, + -1, + -1, + -1, + 51718564, + -1, + -1, + 182629882, + 997981407, + -1, + 546931807, + 431689068, + -1, + -1, + 827242683, + 895623678, + 294370539, + -1, + 514866686, + 276739699, + 601975648, + 433177453, + 562045756, + 767367221, + -1, + -1, + 792856629, + -1, + 363181061, + -1, + 556225249, + 486526701, + 985343235, + -1, + 924692493, + 305231593, + 764111090, + 55672319, + 573741064, + -1, + -1, + 869140317, + 762743397, + 864673071, + -1, + 274815036, + 855777563, + -1, + 428094734, + 617141946, + 549261740, + 45572366, + 980171653, + 480004705, + -1, + 636357660, + 893811059, + 334247182, + -1, + -1, + -1, + 42599288, + -1, + 269149105, + 5704639, + -1, + -1, + 354066208, + -1, + -1, + 599230829, + 201261520, + 327562935, + 401863174, + 272219151, + -1, + -1, + 812557243, + 834107286, + 587565566, + 698870768, + -1, + -1, + -1, + 175813006, + 127519020, + 656271796, + 500321453, + 615709138, + 292947216, + 505086848, + -1, + -1, + 515417268, + -1, + -1, + 297157579, + 299915507, + 22428527, + 257871817, + -1, + 912532733, + 715943718, + 141913726, + 520519578, + 691320773, + 313496103, + 230683530, + -1, + -1, + 180240708, + -1, + 902061123, + 866358761, + 906363903, + 970433388, + 745279920, + -1, + 611505922, + -1, + 936772862, + 719551942, + 311061675, + 271759110, + 578157256, + -1, + 890321652, + -1, + 519252815, + -1, + -1, + 472679039, + -1, + 485323411, + 609261647, + 528636373, + 994445247, + -1, + 336727996, + 61768965, + 977144006, + 579235762, + -1, + -1, + 805347091, + 41398199, + 157276007, + 368454070, + 416893530, + -1, + 12934377, + 841432929, + 919568018, + -1, + 614359290, + 581482154, + 329963735, + -1, + 257773294, + 356618881, + 790386523, + 609911682, + -1, + 840629079, + 933418044, + 846816338, + 334274103, + -1, + 560831972, + 840092431, + 808363482, + 799965879, + 17368488, + 217341629, + 275077211, + 682574426, + 493022674, + 406259232, + 824331026, + 321230674, + 949397495, + 319490584, + -1, + 537138398, + -1, + -1, + 732054802, + -1, + 450670783, + -1, + 175013265, + 341783897, + 700874501, + -1, + 923226929, + 500455827, + 341846695, + 93523828, + -1, + -1, + 992843384, + -1, + 772697616, + -1, + 123084065, + 796764706, + 439040384, + 427783553, + -1, + 293157724, + 653083581, + -1, + 635257649, + 616670762, + -1, + 426672814, + 78039, + 254044769, + 436282380, + -1, + 81668025, + 238357596, + 237299689, + -1, + 287509520, + -1, + 402327864, + -1, + -1, + -1, + 45846455, + 502005927, + 228372139, + 17857322, + 110017609, + -1, + 317719596, + -1, + 115502426, + 399269098, + 164853012, + 405157162, + 274463836, + 574627729, + 30266381, + 506977525, + -1, + 390862224, + 130124516, + -1, + 454166863, + 349797565, + 403699884, + 913463156, + 170535827, + -1, + 474857767, + 81071293, + 508876526, + 499440514, + 50071734, + 410894406, + -1, + 984062315, + 790371757, + 431104391, + 917779291, + -1, + 350430732, + -1, + -1, + 572343701, + 361007046, + 640404954, + -1, + 69141372, + 156883908, + 693367675, + 265843059, + -1, + 173173696, + 313485302, + -1, + 81684803, + 865307289, + -1, + 511685828, + 294289180, + 559534423, + 454447737, + 445761385, + 956852268, + 874195286, + -1, + 795067370, + 990934327, + -1, + 291006914, + 36428178, + 837394474, + -1, + -1, + 654212624, + 438532884, + 59678349, + 131067599, + 37052818, + -1, + 48258241, + 238594391, + 533297583, + 544284897, + 522951198, + 182124221, + 613579605, + 681649959, + -1, + -1, + 234303264, + 723955483, + 333350880, + 890704058, + 851383867, + -1, + 91132135, + 874191579, + -1, + 838814183, + 126281302, + 200551453, + 283570630, + 62425265, + 733590557, + 72815743, + -1, + 461469279, + 577241616, + -1, + -1, + -1, + 968719304, + -1, + -1, + 156912288, + 252647286, + -1, + 514419649, + 309659878, + 440760941, + -1, + -1, + -1, + 555719625, + 341885555, + 930125108, + -1, + -1, + 374803067, + -1, + 173076788, + -1, + 213001808, + 359749296, + 136168458, + -1, + 987527290, + -1, + 199279892, + 856075355, + 718754237, + 411758718, + 453417000, + 660304454, + 857711259, + 845653665, + -1, + 174524028, + -1, + 734356525, + 135595426, + -1, + 860067479, + -1, + 749183302, + 798079693, + 865625842, + 157479366, + 720067998, + 554660667, + 163773248, + 430010182, + 865722135, + -1, + 427536559, + -1, + 64174401, + -1, + 242982911, + 497754449, + -1, + -1, + -1, + -1, + 503304291, + 614294895, + -1, + -1, + 119224280, + -1, + 290856770, + 319118744, + 814113070, + 580179004, + -1, + 668719798, + 598522643, + -1, + -1, + 885166141, + 739626531, + -1, + -1, + 19029081, + 362740898, + 238793825, + 321788553, + 52177813, + 113527736, + 687943473, + -1, + -1, + 458105914, + -1, + 347023009, + -1, + 699063603, + -1, + 386732333, + 94260899, + 210136189, + 382436044, + 586642749, + -1, + -1, + 234086227, + -1, + 255429850, + 784199899, + 861767949, + 705988795, + 772465598, + 616358489, + 385109657, + 284705007, + 395192561, + 895446629, + -1, + 983037394, + 866741393, + 523812721, + 145322355, + 383042248, + -1, + 744686994, + -1, + 909809667, + 767692450, + 352057360, + 52801842, + 701330548, + 193705339, + -1, + 779575783, + 208921950, + -1, + 260799372, + 474877082, + 565155781, + 593692613, + 766745264, + -1, + 909310881, + -1, + 776951517, + -1, + -1, + 260669889, + 220721185, + -1, + 144069138, + 40104236, + 766264091, + 325482189, + 101065672, + -1, + 544488278, + 454600207, + 428188164, + 985213345, + 898865168, + 557403161, + 576744692, + 452654788, + -1, + 71474575, + 150443042, + 447919463, + 79561763, + -1, + -1, + 197450520, + 57637180, + 2726238, + -1, + -1, + 645237514, + 521824923, + 301868552, + -1, + 906701476, + 673646804, + -1, + 546473391, + 859334473, + -1, + 397393910, + 128981147, + 439664959, + -1, + 46859639, + 571703482, + 187638724, + -1, + 534034411, + 820428976, + 635101055, + 308761992, + 943538330, + 855276693, + -1, + 169868343, + 74599096, + 349126686, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 496539372, + -1, + 490044090, + 309743625, + 308073364, + -1, + 985463940, + 239875807, + 543844856, + 122709010, + 514714762, + 161409454, + 647576778, + -1, + 905259883, + 935898820, + 706350335, + 868559689, + -1, + -1, + 641203260, + 874247857, + 636402864, + -1, + -1, + 344469477, + 601240803, + -1, + 774750676, + 359175314, + 261840434, + -1, + -1, + -1, + 863790740, + -1, + 457076050, + 355553518, + 69271914, + -1, + 239410353, + 276912907, + 649857906, + 757692407, + 356582109, + 65821438, + 918110757, + -1, + 492303687, + 633038067, + -1, + 538907410, + 764055939, + 470848402, + 448785380, + 13561688, + 219804639, + -1, + 384269579, + 901923870, + 332434770, + -1, + -1, + 677546563, + 134784626, + 435060090, + -1, + 46900904, + 838475866, + 872169315, + -1, + 953953571, + -1, + 292330837, + 342481681, + 868284883, + 398440262, + 446134581, + 869669227, + 801254229, + 165806279, + 168148493, + -1, + 73368447, + 112367175, + 891529095, + 620995678, + 568807528, + 115135998, + 518258800, + 216149007, + 158148578, + 740465869, + 995945666, + 468317052, + 325945957, + 322990821, + 239267625, + 513831998, + -1, + 281818401, + 788099905, + 707949922, + 335843560, + 772499761, + 388020521, + 59805511, + 464433518, + 884497490, + 35280207, + 5079155, + -1, + 722951129, + 120913634, + 381779855, + -1, + -1, + 467685193, + -1, + 80378750, + 243463646, + 749314081, + 293385935, + 807228963, + -1, + -1, + 261357830, + 397707565, + 760559053, + 36713719, + 823003744, + -1, + 854639340, + -1, + -1, + -1, + 683692453, + 726836351, + -1, + -1, + 907164248, + 284751952, + -1, + 112741729, + 453514033, + 454206479, + -1, + 376470856, + 266076130, + 238592894, + 24939037, + 366206869, + -1, + -1, + 959141228, + 267993620, + 95958486, + 857388779, + 821291589, + 315199558, + -1, + -1, + -1, + 200844551, + -1, + 237834028, + 568558233, + 656960657, + 269996739, + -1, + 661391133, + 614673691, + 478210616, + -1, + -1, + -1, + 634737785, + 798644405, + 158499539, + 317632428, + 430439955, + -1, + 811037901, + 308314236, + 670479374, + 915376168, + 58328612, + 572262513, + 275887243, + 889262964, + 666336497, + 714306943, + 304093523, + -1, + 820849353, + 372536604, + 587115507, + 615037919, + 447203550, + -1, + 547521853, + 62618990, + 201894366, + 273728930, + 483296294, + 793122082, + -1, + 947739335, + 206243216, + 287533041, + 984602884, + -1, + 618047997, + 118357263, + 290002616, + 259261185, + 188360966, + -1, + 352006288, + 22610920, + -1, + 642616509, + 858617811, + -1, + 157074086, + 29294803, + -1, + -1, + 290960800, + -1, + 311347191, + 812257418, + 37771940, + 577869558, + 872706347, + -1, + 799845831, + 932796872, + -1, + 590497937, + 506338403, + 370644348, + 943029636, + 460602957, + -1, + 290382763, + 781840472, + 596956124, + 102269566, + 939459110, + -1, + -1, + 674819015, + 672012762, + 543179695, + 227738926, + -1, + 187792823, + 29283509, + 363015517, + 714461540, + 850983621, + -1, + 194168042, + 489032966, + 964454031, + -1, + 386976165, + -1, + 745696819, + 742960635, + -1, + -1, + 527440638, + -1, + -1, + -1, + 914336644, + -1, + 200783447, + -1, + 92156638, + 192255305, + 168035356, + 48972052, + 112478352, + 248977250, + 873608336, + -1, + -1, + 175850291, + 99226839, + 182835728, + 464502751, + 301690717, + 471996015, + 818382990, + -1, + 753729604, + 840521167, + -1, + 970562784, + 214982192, + 726628472, + 576296758, + 179913923, + 873656694, + -1, + -1, + -1, + -1, + -1, + 995755726, + 847641176, + -1, + 80737316, + 937743856, + 83706188, + 716287980, + -1, + -1, + 573139903, + 887643941, + -1, + -1, + 949450545, + 370092773, + -1, + -1, + 248210627, + 629158177, + 234008099, + 853706689, + 464521384, + 425177696, + 190000301, + 660400438, + -1, + 125940373, + -1, + -1, + 864873004, + 439454133, + 369581624, + -1, + 473357521, + -1, + 764913363, + 364730832, + 678270225, + -1, + 430362126, + 201958729, + 412678248, + 154013325, + 705783546, + 201807704, + 741945996, + 834533146, + -1, + 905438287, + 649710118, + -1, + 945850397, + 156298970, + 980508933, + 350027066, + -1, + -1, + 513311847, + 410174452, + 839430071, + 202694595, + -1, + 326517933, + 831679765, + -1, + 495499368, + 894571875, + -1, + 349783380, + 591016944, + 73943309, + 702055598, + 119176626, + 27208786, + 507357303, + 223126693, + 690661814, + 913333432, + -1, + -1, + 782006356, + 917902531, + 3317870, + -1, + 25340123, + 510742134, + 958088075, + 720342849, + -1, + 630297652, + 417564125, + -1, + 946845965, + -1, + 686204665, + 129052322, + 880842134, + -1, + 98520236, + 952784765, + 324898997, + -1, + -1, + -1, + 409473843, + 768929389, + 329814692, + -1, + 214131361, + 699179679, + 976377653, + -1, + 545100350, + 59353222, + 746356946, + 713453785, + 561254599, + 629141877, + 767194601, + 146302929, + 607664994, + -1, + -1, + 602445257, + 24967440, + 219572979, + 152217133, + -1, + -1, + 195406463, + 303073622, + 253223279, + 803169982, + -1, + 838217133, + -1, + 686308131, + 6503885, + 865505592, + 472554378, + 807049037, + 178898222, + 42822652, + 940415799, + -1, + 392488953, + -1, + 376669661, + -1, + -1, + 150879345, + 997914940, + 64637527, + -1, + -1, + 173338692, + 968934675, + 964561947, + 965180797, + 595377358, + 828716990, + 3824699, + 441658144, + -1, + 945376444, + 711803505, + 504700690, + 779282220, + 929306590, + 409229960, + -1, + -1, + 877679119, + 956177912, + -1, + 701165482, + -1, + -1, + -1, + 444179795, + 311155459, + 778999065, + -1, + 42504345, + 136980748, + -1, + -1, + 250818363, + 635072520, + 811151852, + 528419004, + 616936451, + -1, + 287988522, + -1, + 754787178, + 623825258, + -1, + 815660068, + 7187369, + 209848750, + 468886216, + 947434797, + 397776844, + 418172989, + 606909477, + 901816111, + 482844232, + 843823536, + 924713098, + 464740557, + 155371839, + 699417068, + 398565958, + 139673286, + 21983900, + 613096954, + -1, + 242842124, + -1, + 443631634, + -1, + 944876549, + 961538289, + 506130260, + 746564760, + 810566532, + 611359095, + 797141881, + -1, + 552804466, + 630952215, + 157909439, + 340042378, + 193811810, + 545933842, + 277407116, + 317052793, + 490052581, + -1, + 307633858, + 593817440, + 761731645, + 346304278, + -1, + 773389031, + 883345338, + 121724487, + 566013223, + -1, + 376167457, + -1, + 341499738, + 412770484, + 231350721, + 938711616, + 181688930, + 843548301, + -1, + 881493598, + 292141022, + -1, + 213574627, + 151522071, + 564476959, + 685662583, + 313052224, + -1, + 91378731, + 245645365, + 500888212, + -1, + 525627698, + 543003373, + 826212289, + 636592096, + 94524007, + -1, + 591491716, + 125161382, + -1, + 411953451, + 683898100, + -1, + 381849874, + 616386859, + 477197538, + 6698046, + 96977503, + 587725972, + 978993788, + 131230143, + 412455213, + 427235384, + 223420379, + -1, + 36199821, + 215853884, + -1, + 857283232, + 145769687, + -1, + 702943865, + 986414530, + 332936258, + 124744415, + 330316422, + 528313512, + 627707502, + -1, + 985389965, + 880000243, + 147204874, + 222482176, + -1, + 156008765, + 500280120, + 702052826, + 100438688, + 179699457, + -1, + 364539961, + 900731690, + -1, + 840998162, + 408159155, + 91097810, + 188395027, + 612186374, + -1, + 745816493, + 544252105, + 607261835, + 165499471, + 303030612, + -1, + -1, + 843374890, + 899953483, + 246858694, + 606668015, + 797976873, + 493035884, + 391259982, + 625640067, + 255651671, + -1, + -1, + 693966614, + -1, + 592627627, + -1, + 700644314, + 924034018, + -1, + -1, + -1, + 350625715, + -1, + -1, + 555484349, + 158163897, + -1, + 770787867, + 394029196, + 374099754, + 126017358, + 574296182, + -1, + -1, + -1, + -1, + 143175064, + 384027461, + 356992166, + 328959873, + 118374992, + 979922316, + -1, + 484815489, + -1, + 624804480, + -1, + 581336540, + 893379466, + -1, + -1, + 590817222, + 606594291, + 54055179, + -1, + -1, + 418274669, + -1, + 492602473, + 729027093, + 371147128, + -1, + 460055698, + -1, + -1, + -1, + -1, + 777976579, + 959153073, + 359196020, + 352017432, + 433755938, + 281483965, + 621939126, + 681611485, + -1, + 121952347, + 481384830, + 778249689, + 884653248, + -1, + -1, + 744779650, + 185906853, + 221042020, + 151943801, + 554175173, + 556684822, + -1, + -1, + -1, + -1, + 248560723, + 513055185, + -1, + 557685522, + 773338956, + 638547798, + 155341339, + 290114080, + 470009746, + 192953348, + -1, + 868860253, + -1, + 119146103, + 685289622, + 794600285, + 789490133, + 354498323, + -1, + 865728265, + -1, + -1, + 980084608, + 303718165, + -1, + 284833115, + 948080352, + 692880199, + 102041316, + 283554234, + -1, + 206508517, + 330758716, + -1, + 988567578, + 202817899, + 202396774, + -1, + -1, + -1, + -1, + -1, + 871314636, + 190134878, + -1, + 283826077, + 38614931, + 348691995, + 337532581, + -1, + 955685550, + 953821454, + 457279548, + 365718484, + 83005817, + 969912006, + 536589098, + 552404657, + 596994917, + 842567262, + 233294509, + 929182250, + 147764771, + 103639151, + 531994528, + 88605313, + 470196379, + 609009942, + 772151527, + -1, + 833970310, + 715191409, + -1, + -1, + 233953742, + 967869159, + 156404664, + 292733744, + 839552898, + 962430785, + 425333688, + -1, + -1, + 790249612, + 368530696, + 527639812, + -1, + -1, + -1, + 755021642, + 695492600, + 255252744, + 691706302, + 906010964, + 666536780, + 238600631, + 932057647, + 887397360, + 341118128, + 914173037, + 433595330, + -1, + 452347682, + 705027204, + 731230334, + 749905668, + -1, + 188897976, + 29563078, + 393114509, + 180209158, + 766354001, + 147844499, + 781544189, + -1, + 597942405, + 329906606, + 719623117, + 957232102, + -1, + 724305569, + 893950276, + -1, + -1, + 627004521, + -1, + 108584746, + -1, + -1, + 989765021, + 70940021, + 133728547, + 942441926, + 890135196, + 266777649, + -1, + -1, + 503683027, + -1, + 634441613, + 78034651, + -1, + -1, + 770182117, + -1, + 909405131, + 555577727, + 901152788, + -1, + 269126267, + 998254244, + 378403235, + 413443490, + 71346483, + -1, + 387061085, + 18730173, + 741741480, + 774422970, + 893604291, + -1, + -1, + 913580836, + 509833091, + -1, + 550202668, + 162316266, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 884772036, + -1, + 780377313, + -1, + -1, + 347564288, + 132879447, + 983052656, + 326808679, + 366918965, + -1, + -1, + 863498689, + -1, + 630585306, + 644230633, + -1, + -1, + -1, + 634285286, + 258446743, + -1, + -1, + 450350405, + 472525991, + 960707463, + 897727667, + 489079603, + 572406471, + 945982684, + 271831348, + 613286642, + 907405994, + 20203523, + 764110702, + -1, + 417440708, + 640060820, + 765378523, + -1, + 259563889, + 302439741, + 159059408, + -1, + 415706715, + 339801684, + 556999562, + 51571374, + 934494007, + 351308540, + 725121739, + 575071469, + -1, + 786313592, + 285922342, + 936790532, + -1, + -1, + -1, + -1, + 8897991, + 76010041, + -1, + -1, + -1, + 320676881, + -1, + 117148807, + 519322567, + -1, + 980102121, + -1, + -1, + 649213146, + 853519839, + -1, + -1, + 931648308, + 374426258, + 476798058, + 447172940, + 54415256, + 419902724, + 990507781, + 745487868, + -1, + 230124496, + 983375484, + 874326634, + 315730174, + 74770828, + 18209714, + -1, + 842531070, + 491692800, + 52510241, + -1, + 80356333, + 254230151, + -1, + -1, + 603693467, + 439596792, + 839416507, + -1, + -1, + -1, + 304057833, + -1, + 41509135, + 400699376, + 623809135, + -1, + 569050163, + -1, + 163026100, + 263853214, + -1, + 858042202, + 957998889, + 408367327, + -1, + -1, + -1, + -1, + -1, + 781927098, + 901576454, + 49173569, + 816317503, + 475772896, + 182463979, + 189497108, + 820982368, + 476460603, + 659318520, + 751561748, + 162438776, + 458792399, + -1, + 566892531, + -1, + 414513070, + -1, + -1, + 975824714, + 411595164, + 47434288, + 646547765, + -1, + 503030031, + 249490461, + 551793835, + -1, + 741500066, + 389188440, + -1, + 916025313, + 295883257, + 805091881, + 243489625, + -1, + -1, + -1, + 283537985, + 291987878, + 343786787, + 967397005, + 941403024, + 214514638, + 344733738, + 707355305, + -1, + -1, + 919770564, + -1, + -1, + 790369063, + 273354535, + -1, + 52588183, + 504427290, + 254400809, + -1, + 1628159, + -1, + -1, + 751614684, + 235876664, + 826682595, + 640826247, + 22419841, + -1, + 7455399, + -1, + 164755530, + 527745748, + 405683917, + 484584763, + -1, + 266415583, + 81693390, + 854854326, + -1, + -1, + 134386558, + 679128441, + 970799703, + 847751741, + -1, + 32604794, + 199767907, + 220909319, + -1, + 36699120, + 521880179, + 908044591, + 376014408, + -1, + 84188206, + -1, + 316164126, + 757720050, + 456332061, + 471874730, + -1, + 591628081, + -1, + -1, + -1, + 860137149, + -1, + 735572226, + 151932539, + -1, + 531141856, + -1, + 790448110, + 49020026, + 669644346, + -1, + 119706494, + -1, + -1, + 359797268, + -1, + 430692625, + -1, + 784207398, + 692201752, + 867893096, + 250832637, + -1, + 644700107, + 736233809, + -1, + -1, + 430985344, + -1, + 39117721, + 184850373, + 591448204, + 46390639, + 959622020, + 367642156, + 145569084, + -1, + 430184933, + -1, + 410052615, + 91209336, + -1, + -1, + 375726609, + 578137703, + 854304522, + 753946146, + 421713406, + 708737065, + 340987310, + -1, + 131657739, + 443271490, + 589856907, + 435809392, + 252550998, + 620398365, + 378361505, + -1, + -1, + -1, + 424868161, + 634028483, + 315232483, + 46857399, + 553209729, + -1, + -1, + 171876350, + -1, + 421160504, + -1, + 347170208, + -1, + 771067744, + 804965105, + -1, + 575995747, + 718993748, + -1, + -1, + -1, + 60086314, + 929077975, + -1, + -1, + 58670655, + 789566870, + 787324844, + -1, + 419613752, + -1, + 392624609, + 29214123, + -1, + -1, + -1, + 3599959, + 790558290, + 935941066, + -1, + 79419066, + 386953708, + 139316623, + 73341370, + 966300428, + 661733358, + 309250870, + 273009880, + 573901904, + 288441103, + -1, + -1, + -1, + 174126402, + 505568342, + 137298478, + 19445585, + -1, + 921431336, + 536766896, + -1, + 512989951, + -1, + 228897689, + 604119414, + -1, + 576347656, + 850362885, + 983609450, + -1, + -1, + 449794102, + -1, + 80273794, + 150017703, + 697913335, + 904958947, + 226349617, + 821009561, + 713714031, + 131985406, + 299288212, + 887372170, + 282632144, + -1, + -1, + -1, + 888565865, + -1, + 552446194, + 190973487, + 455664202, + 774020734, + 738938805, + 482212753, + 470166920, + 357530019, + 572274685, + 498706271, + 973120476, + 695803112, + 456266519, + 439947057, + -1, + 627963190, + 501210448, + -1, + -1, + -1, + -1, + 77758766, + 875398620, + -1, + 297170893, + -1, + -1, + 729605188, + 927381765, + 704217602, + 594192912, + -1, + 57123163, + -1, + 479230502, + 951840844, + 249015601, + -1, + 981652373, + 804991939, + 530936431, + 728688614, + 375297007, + -1, + 489301688, + -1, + 891078822, + 398538551, + 346163203, + 880471226, + 894110717, + -1, + 786680693, + 988021867, + 273090548, + 992579882, + 551534911, + 874036320, + 968001910, + 475796639, + -1, + -1, + -1, + 241936816, + 545295814, + 972162169, + -1, + 619298684, + 463965912, + 252259776, + -1, + 685446209, + -1, + -1, + -1, + -1, + 842285636, + 841539379, + 935382500, + -1, + 426284700, + -1, + -1, + -1, + 356094150, + -1, + 559438211, + -1, + -1, + 793137401, + 777306023, + 827976960, + 115424972, + 651107827, + -1, + -1, + 915792231, + -1, + 595488518, + 775161088, + 997631596, + 393109740, + 996371299, + 875234523, + 80911344, + -1, + 905278705, + 274527937, + -1, + 615170623, + 149658580, + 859232323, + 107436263, + 523188560, + 62280609, + 224757625, + 375073387, + -1, + 215543966, + 452681688, + 16760263, + 194085381, + -1, + -1, + 497461419, + -1, + -1, + 855435457, + 806687504, + 272246917, + 364690696, + 692796150, + 890400115, + 621709907, + 549750113, + 104689699, + 145978926, + -1, + 352324531, + -1, + -1, + 95546981, + 982891116, + -1, + -1, + 825928110, + -1, + -1, + 894691362, + 323982140, + 669998767, + -1, + -1, + 152716302, + 781230267, + 809046012, + -1, + -1, + 269979422, + -1, + 491828590, + 782771264, + -1, + 428797521, + -1, + -1, + 75836658, + 626147486, + -1, + 35772718, + 810026371, + 475013850, + 475977386, + -1, + 942396659, + -1, + -1, + 622173404, + 153865142, + 130191551, + 935914848, + -1, + 658324532, + -1, + 326853015, + -1, + 427359392, + -1, + 831850778, + 427458432, + -1, + 936911065, + 376848189, + 762211568, + 875536357, + 631845106, + -1, + -1, + -1, + 117055596, + -1, + -1, + 748370774, + 497874963, + -1, + -1, + 603950460, + 644578754, + 911529695, + 717252117, + 613962639, + 286123016, + 612723057, + 761360857, + 909020861, + 216145827, + -1, + 129815244, + -1, + 142524142, + 130584127, + 407935065, + 307476765, + -1, + 348402464, + 85438845, + 965234616, + 126429846, + 94755213, + 39411752, + 405698932, + 135913800, + 472270151, + -1, + 340158188, + 283029254, + -1, + 917150955, + 135313874, + 209066718, + 148570645, + -1, + -1, + -1, + 172436951, + -1, + 362037481, + -1, + 730727180, + 191456535, + -1, + -1, + -1, + 937994054, + 62922647, + 851984133, + -1, + 241613988, + -1, + -1, + -1, + 15759792, + 166468021, + 79136070, + 122142866, + -1, + 814703324, + -1, + -1, + 610677869, + -1, + 434710476, + -1, + -1, + 400020750, + 787103032, + 443375467, + -1, + 411405836, + 161222354, + 681202092, + 482328224, + -1, + 736499880, + -1, + 644168409, + 380009887, + 544741271, + 62210806, + 687727360, + 128739207, + 392268869, + 159805573, + 235955936, + 40006065, + 302246884, + 24591506, + 153615577, + 459696940, + -1, + 66969756, + 979509790, + 776826471, + 452703419, + 66569842, + -1, + 994629575, + -1, + 469061823, + 868319011, + -1, + 937621216, + -1, + 34930297, + 733880797, + 185957178, + 611601999, + 226621922, + 917048225, + -1, + 230519133, + 32646236, + -1, + 732116817, + 271063503, + -1, + 663453663, + -1, + 22900165, + 361678307, + 377273287, + -1, + 845348721, + 744377152, + 84605317, + 820050917, + -1, + 913844396, + 183379534, + 851391353, + 660022714, + 114153558, + -1, + -1, + 741054522, + 216567930, + 136359006, + -1, + 519971154, + 946341983, + -1, + 266893641, + -1, + 915859718, + -1, + 694665343, + 183392558, + 163831280, + -1, + 667302229, + -1, + 498269727, + 755678724, + 925614194, + 211318846, + 759815230, + -1, + -1, + 634019088, + -1, + -1, + -1, + 911974144, + -1, + 44553374, + 311043234, + -1, + 799667129, + 118454688, + 508407443, + 125409771, + 396435377, + -1, + -1, + 508510621, + -1, + 346311538, + 905318925, + 970183278, + -1, + 161402274, + -1, + -1, + 984137717, + -1, + 290766276, + -1, + 560735754, + -1, + 594915740, + 230862245, + -1, + 758481786, + 844294594, + 998405004, + 332693083, + 196628692, + 242598086, + -1, + 616069214, + 627684100, + 866298258, + 462050827, + -1, + 826721825, + -1, + 581777857, + 225684340, + 432538084, + 154984978, + 307519788, + -1, + -1, + -1, + -1, + 581967794, + 68970522, + 692858959, + 988675823, + 401068592, + -1, + 320525926, + 572592323, + 29226192, + 157178008, + 755536698, + 35295787, + 609337754, + -1, + 351735375, + 972536626, + -1, + 659531441, + -1, + 6486494, + 900648814, + -1, + -1, + 742302040, + -1, + -1, + 686112781, + -1, + 984438198, + 507921462, + -1, + -1, + 161395137, + 396848766, + 99215030, + -1, + 532634947, + 444810067, + 655724763, + 761944126, + 705703812, + 381012538, + 909883567, + 495893600, + -1, + 332744531, + -1, + 532083635, + 539989501, + 658668631, + -1, + -1, + -1, + 593396345, + 379797367, + 197290850, + 423501416, + 225061028, + -1, + 549338717, + 809115468, + 701706145, + -1, + 355180378, + 899812102, + 699555445, + 258062796, + 246842008, + -1, + 120143965, + 87533782, + 605239937, + 192045814, + 264366022, + -1, + 833321572, + 772194003, + 987447155, + -1, + 433321052, + 847023185, + 774434555, + 485662721, + -1, + 695757183, + 276927253, + -1, + 278978627, + 712287335, + 897201284, + -1, + -1, + 416516511, + -1, + -1, + -1, + 634594322, + 737308485, + 689879206, + 115159795, + 468576786, + 953500134, + 426065611, + 816136700, + 638842989, + 796670983, + 474446519, + -1, + 114038191, + -1, + -1, + 681652283, + 755994738, + 955878593, + -1, + 317982252, + 464358654, + -1, + 556918570, + 680754832, + 243395452, + 612509709, + -1, + -1, + -1, + 995725100, + -1, + 971920776, + 477967780, + 141716396, + 30489976, + 914673548, + 891667784, + -1, + 516639381, + 999741889, + 766768778, + 524482727, + 280280333, + 425198783, + 135102174, + 315326286, + 619933871, + 975954515, + 876193242, + 446124312, + 806092475, + 300248468, + 384121800, + 47778775, + -1, + -1, + 410580073, + 411918439, + -1, + 583565780, + 403318638, + 485900456, + 315348319, + 388551712, + -1, + 280071197, + -1, + 110177744, + 897882857, + -1, + -1, + 123191897, + -1, + 231026948, + -1, + 25767294, + 476088712, + 969620743, + 326914748, + 219829014, + -1, + 721631206, + 783345626, + 860598876, + 491102425, + -1, + -1, + 976399964, + -1, + 294965897, + 365824271, + 190737746, + 163987146, + 777113360, + 656098401, + 728181123, + 432205697, + -1, + 244837046, + 17159608, + 116095627, + -1, + 259294596, + 880705286, + 994918711, + 526622118, + -1, + -1, + -1, + 498601104, + -1, + 366833033, + 501504230, + -1, + 840203604, + 406976126, + -1, + -1, + 767907151, + -1, + 83207795, + -1, + -1, + 727213677, + -1, + 459171575, + 2591699, + -1, + 3657733, + -1, + 291411427, + 744181493, + 180409731, + -1, + -1, + 514127630, + 737061733, + -1, + 625220804, + 965705819, + -1, + 858398657, + 325302575, + 197020255, + 406652313, + 263937172, + -1, + 419713570, + 861261596, + -1, + 111950460, + 469163571, + -1, + -1, + 813346618, + 146771623, + -1, + -1, + 311788698, + 106156820, + 713776124, + 349666937, + 800057646, + 364005978, + 352519512, + -1, + 399755818, + 453344845, + 37261603, + -1, + 162817129, + 171814858, + 333628354, + 727891434, + 121107179, + -1, + 734611506, + -1, + -1, + 286620588, + -1, + 533301452, + 167774449, + -1, + -1, + 202025236, + 170687046, + -1, + 729422776, + 387775330, + -1, + 760028463, + 84364611, + 840488523, + 126649817, + 160401943, + -1, + 443056465, + 680129760, + 7435875, + 694096844, + 550587356, + 593563215, + 221830055, + -1, + 873876619, + 804893888, + 606704522, + 197086711, + 607014566, + 465948727, + 357729744, + -1, + 957699911, + 832063801, + 255855669, + 376927850, + 347965083, + 64916760, + 533295829, + 292753361, + -1, + 948085302, + 307994727, + -1, + 573124588, + -1, + -1, + 847454287, + 100350748, + -1, + -1, + -1, + 160619535, + 941478296, + 596934750, + -1, + 831632958, + 268726553, + 947337728, + 431768968, + 854630558, + 975274929, + 881122182, + 517471197, + 606896924, + 420049624, + -1, + -1, + 788726000, + 667121440, + -1, + 257324049, + -1, + -1, + 830484221, + -1, + 397069442, + 426945398, + 881881545, + 651733948, + 437911461, + -1, + 877851065, + 722557661, + -1, + -1, + 98054794, + 421321686, + 741138954, + -1, + -1, + 993448812, + 18330843, + 494638553, + 640827138, + 722738232, + 377306680, + 22244950, + 901248107, + 443153701, + 913174983, + 704224262, + 384803911, + -1, + -1, + 648323796, + 155927954, + 244126158, + 92406908, + 702027063, + 453818446, + 217035883, + -1, + -1, + 811178337, + 792252165, + 562098133, + -1, + 773440167, + 550247221, + 610794420, + 64718148, + 379633050, + 46154386, + 903830302, + 392794510, + 200487944, + -1, + 946965867, + 762608776, + -1, + -1, + 845184748, + 259866014, + 196582986, + 384394470, + 373805698, + -1, + 114845452, + -1, + -1, + 908024231, + 185684520, + 760991175, + 219191721, + -1, + -1, + 262874566, + 153739764, + 193185347, + -1, + -1, + -1, + 988410502, + 60736130, + 636712550, + 65137447, + 468877275, + -1, + -1, + 607066096, + 833561306, + 551946, + -1, + -1, + 613516934, + -1, + 326559745, + 494675375, + -1, + 777473220, + 716124497, + 504330487, + -1, + -1, + 759950745, + -1, + 215806557, + 623432931, + 350813440, + 334509717, + 849644554, + -1, + 713397193, + 201460248, + 238897784, + -1, + -1, + 851191520, + 713635239, + 138012446, + 612576898, + -1, + -1, + 440436265, + 126135536, + 827216406, + -1, + 837442327, + 311259819, + 472736129, + 134903942, + 906195857, + 481671844, + 317600766, + -1, + -1, + 499858690, + -1, + 853031716, + 850895332, + 480952766, + -1, + -1, + 27413565, + 397578311, + -1, + -1, + 313072112, + -1, + 276797102, + 127540141, + 21658400, + 141338898, + -1, + 547422798, + 678505765, + -1, + 233371286, + 473742163, + 682122245, + -1, + 698141892, + 649687400, + 401863619, + -1, + -1, + 895781468, + -1, + 417390167, + 383676450, + 883545568, + 993444456, + 30671786, + 366061625, + -1, + 104712924, + 796410286, + 681137498, + 122687131, + 726350543, + -1, + 294575651, + -1, + 587622032, + -1, + -1, + 509335722, + -1, + -1, + 89341069, + 829070440, + 345385047, + 537059906, + -1, + 309714334, + -1, + 746526770, + 826059093, + 804614835, + 964985279, + 52909615, + 777896264, + -1, + 114988856, + 164994158, + 648075666, + 873737276, + 380812991, + -1, + 114548209, + -1, + 2150638, + 637652308, + 707583196, + -1, + 610317313, + 341687876, + 53781601, + 876207682, + 818129321, + 190276999, + 540400886, + -1, + 94151657, + -1, + 780059193, + -1, + 930100196, + 798220910, + 198628872, + 21475015, + 417047821, + -1, + 689096010, + -1, + 15111869, + 614584487, + 365478037, + -1, + 757123261, + 232783705, + 535024631, + 116605017, + 731469491, + 286340318, + 160163799, + 448711151, + 206904685, + -1, + 872702753, + -1, + 194516596, + -1, + -1, + -1, + -1, + 331024176, + 293439994, + 133877987, + 452736340, + 918469091, + 938681030, + -1, + 86698594, + 534740062, + 671805702, + -1, + -1, + -1, + 960231497, + 1751242, + -1, + 44292198, + -1, + 183872447, + -1, + 937543031, + -1, + 699071567, + -1, + 592927888, + 212519337, + -1, + -1, + -1, + -1, + -1, + 821662169, + -1, + 8929103, + 945549463, + 383112905, + -1, + 901978699, + 84020009, + 53658144, + 390668140, + -1, + -1, + 821080603, + 650140780, + 321002804, + 816319124, + -1, + -1, + 296081391, + -1, + -1, + 854944000, + 71479171, + 221763847, + -1, + -1, + 152046596, + 190213222, + 924692606, + -1, + 173360182, + 391857483, + -1, + -1, + 439558936, + 285066313, + -1, + 854461694, + 699719848, + 418836016, + -1, + 313363639, + 969287654, + 103735540, + 748295550, + 926996453, + 264708147, + 823236465, + 878521571, + 18173051, + -1, + 435178842, + -1, + 450161514, + -1, + 388644374, + 25753075, + 222293059, + 510551433, + 92939927, + 846917728, + 16892947, + 940742097, + 534388397, + 125291615, + 467995828, + 988230968, + -1, + 405436734, + 791521310, + -1, + 117572208, + -1, + 42887075, + 541978735, + -1, + -1, + 267149906, + 217524410, + -1, + 402200840, + -1, + 748569406, + 65153809, + 647011079, + 819042417, + 813319741, + 487890335, + -1, + -1, + 160617154, + 953383537, + 838679863, + 290590421, + 110032751, + -1, + -1, + 360153823, + 869523213, + 374464503, + 359479879, + 48233462, + 80772641, + -1, + 692737964, + 953705891, + -1, + -1, + 416140935, + -1, + -1, + -1, + 654790733, + 418435151, + -1, + 805409241, + 26037212, + 194819933, + 336307300, + 910781723, + 44309747, + 678897746, + 39224352, + -1, + -1, + 981175760, + 153269362, + -1, + 219376859, + 885123995, + 216326067, + -1, + 97786970, + 691467247, + -1, + 18872627, + -1, + 343661794, + 739385753, + 114149911, + -1, + 41134106, + 936738079, + 267772106, + 871404812, + -1, + 593403808, + 133643919, + 209010699, + 759298466, + -1, + 682818174, + 464742173, + 583418581, + 891585802, + -1, + 565436887, + -1, + 208522669, + -1, + -1, + 142998439, + 923378397, + 395742547, + 827001123, + 847421381, + 174474393, + 413793391, + 465867187, + 218962008, + 781589709, + 289241603, + -1, + 492703546, + 785909424, + 463671068, + 553302789, + 581071267, + 61783679, + 974472262, + 699656499, + 224349302, + 365757, + -1, + -1, + 667873782, + 477898168, + 364105410, + 687262180, + 356569430, + 392450661, + 180179525, + -1, + 835511621, + 859672236, + -1, + 913333737, + -1, + 130340236, + 520145165, + 950548733, + 31518575, + 442565847, + -1, + 515564919, + -1, + -1, + 142650301, + 49800921, + 654391189, + -1, + -1, + 612466783, + -1, + 438596998, + 426968207, + 893064256, + 150974391, + 603305570, + 143286754, + 748540050, + -1, + 636779591, + 101715336, + 107095520, + 93811127, + 535375903, + 784524231, + 407818347, + 19038511, + 242525797, + 482104423, + 415232317, + -1, + 22432105, + -1, + 422834456, + 425777599, + -1, + -1, + -1, + 34565642, + 596189405, + 567208067, + -1, + 790766715, + 273039902, + -1, + 164158339, + 515088018, + -1, + 156800338, + 87943291, + 577607421, + -1, + 295078388, + 366362785, + 81564659, + 802173640, + -1, + 751808525, + 502988380, + 182717927, + 234706444, + 52622182, + 225789811, + -1, + 765163134, + 41243972, + 678985012, + 650537085, + 109943717, + 933170236, + 542046341, + -1, + 336898408, + 389444856, + 482739833, + 349436650, + -1, + 68274828, + 860065919, + 158737956, + 351585981, + 294428804, + 156558563, + 830788136, + 471328555, + -1, + -1, + 435168961, + 824199328, + -1, + 118282344, + -1, + 563707955, + 640730630, + -1, + 192111893, + 964270389, + 206617179, + 507437246, + -1, + 500861117, + 356463336, + -1, + 689095933, + 74340654, + 10878058, + 75157637, + 623307525, + 144727026, + 159604417, + 559214236, + 157143176, + 31607333, + 294216782, + 691631629, + 972455378, + 191471840, + -1, + 19689528, + 211862974, + 958462755, + -1, + 462521807, + 685244610, + 921081133, + -1, + -1, + -1, + 225054173, + 574518190, + 288122090, + 93181448, + -1, + 865885085, + 23174741, + 777597562, + 971509955, + -1, + 764297910, + 78565975, + 631399706, + 418146276, + -1, + 664814978, + 178799977, + -1, + 79561999, + 60037124, + -1, + 581844887, + -1, + 799543680, + 458600585, + -1, + 536189291, + 578162300, + -1, + 215110007, + 539480290, + 437200760, + -1, + 172242628, + 549519657, + 947422341, + -1, + 808124818, + -1, + 135765023, + -1, + 817350233, + -1, + 980089301, + 50519711, + 163050350, + 858977562, + -1, + 220498136, + -1, + -1, + -1, + 19700773, + 421547624, + -1, + -1, + 786124038, + 723903751, + 82274312, + -1, + 310425555, + 487249699, + -1, + 62502329, + 264819613, + 433979224, + -1, + -1, + 573745288, + -1, + 222055633, + 55255093, + 643426883, + 536651257, + 801751815, + 320434638, + 877936506, + 334602609, + 632698225, + 822329702, + 361907518, + -1, + 174346064, + 145381605, + -1, + 453426905, + 553130062, + 70152743, + 537118786, + -1, + 535229724, + -1, + 527620732, + -1, + 116891868, + -1, + 487734601, + 582192521, + 991369423, + -1, + -1, + 715282240, + 542950666, + 38549177, + 844370760, + 392292324, + 425522368, + 356238119, + 804874646, + 703571219, + -1, + 159221313, + 620465900, + 698128944, + -1, + 524589093, + -1, + 561164520, + 505676178, + 926974746, + -1, + -1, + 306793264, + 287019827, + 466408145, + 384384309, + 160889346, + 66039897, + 767816703, + -1, + 855372954, + -1, + 85458626, + 568396566, + 134085224, + 142819362, + 335817622, + 143492085, + -1, + 578317814, + -1, + -1, + 402242511, + 499994706, + 405716621, + 331078808, + 522165193, + 260960604, + -1, + 758047254, + 839413309, + -1, + 24000425, + 813173455, + -1, + 416394500, + -1, + 151337670, + 555671091, + 86480846, + -1, + -1, + 772794098, + 209223541, + 780727834, + 246989068, + -1, + -1, + 986503740, + 262250224, + -1, + 637551699, + -1, + 294228319, + 66321536, + 160184013, + -1, + 137849751, + -1, + 622528459, + 606616070, + 760996378, + 929758180, + -1, + 442471514, + 33665553, + 891260554, + 880613429, + 229045059, + 615100821, + -1, + 567327371, + -1, + -1, + -1, + -1, + 655246014, + -1, + 926818598, + 154465306, + 306430209, + 942413323, + 444417463, + 830268535, + 165561550, + 910270369, + 480859336, + 829725364, + 613749031, + -1, + 365261639, + 542591205, + 70707063, + -1, + -1, + -1, + 318106357, + 135925138, + 870889376, + 51047007, + -1, + 400387985, + -1, + 666306981, + 789165389, + -1, + -1, + 6877794, + 261461163, + 521991570, + 457168364, + -1, + 153074025, + 998165436, + 958278484, + 157761677, + 207972705, + 292229770, + 722292283, + 478033947, + 765371978, + 752155712, + -1, + 117732171, + 100989150, + 957707975, + 522274864, + 573355555, + 10745505, + 404624903, + -1, + -1, + 67164907, + 323156719, + 188115176, + 864381952, + 89354707, + 712031692, + 697475312, + -1, + -1, + -1, + 428375071, + -1, + 966571711, + -1, + 510052308, + -1, + 738747275, + 271817687, + -1, + 152652520, + 737920702, + 542524563, + 69607645, + -1, + 997936402, + 934335422, + 640777013, + 376141774, + 872879517, + -1, + 444228182, + 228432340, + -1, + 963690555, + 847896670, + 538989332, + 302538504, + 714115345, + 245486327, + 770799699, + 44791395, + -1, + 558566533, + -1, + -1, + 241338652, + 860721928, + 184138150, + 888511826, + 909967362, + 987413800, + 252648143, + 903132087, + 239780374, + 389318978, + 636781548, + 296642746, + -1, + -1, + -1, + -1, + 965055953, + 369679809, + 966863722, + -1, + -1, + 938114039, + -1, + 825119637, + -1, + -1, + -1, + 130999126, + 724212101, + -1, + 684154370, + 573707390, + 111076777, + -1, + 588437989, + -1, + -1, + -1, + 805005239, + -1, + -1, + 858495331, + 97999556, + 707580573, + 535607507, + -1, + 180728471, + 839724663, + -1, + -1, + 138946740, + 43045028, + 216535244, + 644313408, + -1, + 638949696, + -1, + 678257285, + -1, + 835936594, + 774034704, + -1, + -1, + 354744185, + -1, + -1, + -1, + 736885668, + -1, + 512848704, + 372467001, + 338958891, + 527536898, + -1, + 918060724, + 982497389, + -1, + 410530053, + 462925885, + 505889056, + 789215557, + 123866538, + 386230629, + 339802659, + 230083762, + 161883153, + 32566786, + 681162770, + 391691906, + 158748643, + 918505594, + 965154482, + -1, + -1, + -1, + -1, + -1, + 440573339, + 260026499, + -1, + 59759322, + 764754077, + 769289697, + -1, + 102588593, + 835734643, + 862764806, + 103394397, + 96419812, + -1, + 303748446, + 731629470, + 219090197, + 732544546, + 777076799, + -1, + -1, + 627899054, + -1, + 159735241, + -1, + -1, + -1, + 174191724, + 635393284, + 425046357, + 860221062, + -1, + 872269269, + 104249830, + 437743290, + 789653028, + 228598169, + 299981739, + 867525044, + 196146647, + 371321434, + -1, + 502127458, + 89276174, + 62504637, + 190292789, + 489889705, + -1, + -1, + 677738392, + 384206104, + 461030266, + 139710767, + -1, + 570731165, + 465286054, + -1, + 588521911, + 463808978, + 639287797, + 321634768, + 332544627, + -1, + 61897863, + -1, + 502545759, + -1, + -1, + -1, + -1, + 598480694, + 4708536, + 827603898, + -1, + 221375725, + 822890162, + 127110201, + -1, + -1, + 953177738, + -1, + 603658812, + 327781661, + 852451636, + 800197965, + 97211373, + 643052371, + 284704969, + 755783820, + 577241678, + 623327260, + 290393561, + 22995452, + 575385939, + 2345983, + 986893804, + -1, + 660829316, + 967901360, + -1, + -1, + -1, + 838102228, + 318162582, + 502209474, + -1, + -1, + -1, + 788121324, + 436393234, + -1, + 688117306, + 54518182, + 379337034, + 199137599, + 229840725, + -1, + 843740758, + 207216622, + -1, + -1, + 305902419, + 638438997, + 908030803, + -1, + 750835755, + -1, + 585179382, + -1, + 228379196, + -1, + 861128605, + 178154038, + 250516769, + 24090821, + 236873495, + 273682088, + 234572929, + -1, + 427154775, + 874849851, + 354543710, + 715356593, + 133158395, + 719720769, + 90287212, + 964970564, + -1, + 864961306, + 213631112, + 63513449, + -1, + 78500773, + 213422999, + -1, + 755292102, + 729689431, + 146214906, + -1, + 230742122, + 729891216, + 221204503, + 122904683, + 164410541, + -1, + -1, + 736832298, + 265196636, + 640841949, + 85690152, + 865677179, + 967027407, + -1, + -1, + 584329116, + 439772305, + 890358200, + 548262696, + 503670716, + 619601083, + 103173964, + 362632922, + 41048880, + 994838215, + 51236200, + 185673073, + 263939784, + 27570746, + 845551369, + 316695122, + 467473307, + 545264337, + 327245834, + 518852098, + -1, + 678673244, + 871823102, + 680796931, + -1, + 872696754, + 958170079, + 518507145, + 652972990, + 920404816, + -1, + 335473507, + 875806613, + 401463768, + 541931118, + 744596166, + -1, + 331442275, + 975196269, + 334644068, + -1, + 208089016, + -1, + 299149588, + 894934478, + 477293463, + -1, + 873894900, + 378974204, + 306291, + -1, + -1, + -1, + 950065353, + 271057151, + 984378631, + 174118009, + 60638398, + 948408426, + 548349944, + -1, + 596961623, + 809347821, + 994120210, + -1, + -1, + 333803016, + 837833405, + 361812796, + 558622035, + -1, + -1, + -1, + 787235114, + 461337274, + 553061038, + -1, + -1, + 641406529, + 347352706, + -1, + 242579728, + -1, + 310593182, + 524460457, + 439717576, + 825305667, + 727312420, + 246418211, + 288201712, + 111590704, + -1, + 784558672, + -1, + -1, + 467832021, + 110767352, + 96714208, + -1, + 709721606, + 298748917, + -1, + 627859350, + 232051863, + -1, + 980113438, + -1, + 598025275, + 625548330, + -1, + 741298954, + 458625431, + 150144367, + 58172982, + 760066786, + -1, + -1, + 286608477, + 241664380, + 109367722, + 783293729, + 73022549, + -1, + 775772568, + -1, + 435753948, + 756302760, + 493501196, + 278823436, + 867585751, + 673065385, + 90973201, + 645602143, + 116208498, + 351557197, + 549166059, + -1, + 439360936, + -1, + 727171134, + 518361075, + 448604423, + 722669633, + 822717334, + -1, + 890859805, + 203803848, + 8399076, + 627327144, + -1, + 726683994, + 180008299, + 724241080, + 564247184, + 61060117, + -1, + 643738281, + 432617926, + 790066245, + 663868439, + -1, + 99649449, + 796954928, + 330139274, + -1, + 31780299, + -1, + 324021268, + 728630311, + -1, + -1, + 912989305, + -1, + 946174224, + 689722652, + -1, + 865217152, + 25356543, + 24697864, + 221054355, + 417528650, + 177926958, + 97256924, + 982197509, + 578713427, + -1, + 16825806, + -1, + 25690012, + -1, + -1, + -1, + 821585921, + 522308077, + 107135029, + 330377182, + -1, + 540825828, + -1, + 726168168, + -1, + 885793743, + 251707101, + -1, + 753673122, + -1, + 856880845, + 348775410, + 200460833, + 567190977, + 65697971, + -1, + 134150336, + -1, + -1, + 608285411, + 413070249, + 588363223, + 499347261, + 969112956, + 416364943, + 181794354, + -1, + -1, + 634457086, + -1, + -1, + -1, + 324437269, + 251571892, + -1, + 83188018, + 640967550, + -1, + 238607635, + 543279689, + 844814877, + 508762784, + 677497665, + 527797973, + 993005305, + 233811531, + -1, + 128417211, + 97353821, + -1, + 505283519, + 697148128, + -1, + 232792531, + 415779601, + 961186661, + -1, + -1, + -1, + 921545738, + -1, + 232076380, + 743206062, + 438899739, + 308016937, + 988327848, + 704576499, + 840002316, + 238662101, + -1, + 256353717, + -1, + -1, + 302962533, + 799408142, + 74933168, + -1, + 112018537, + 483292538, + 3270151, + 626779593, + -1, + 551228669, + 630107874, + 807263161, + 679494731, + 155657232, + 869319457, + 469028291, + 91448573, + 323110451, + 339206384, + 680795354, + -1, + -1, + 708798467, + 827139767, + 710517816, + 434850397, + 825549920, + -1, + 968406822, + 213337985, + 737225996, + 988121171, + -1, + 88428823, + -1, + -1, + -1, + 398247355, + -1, + 10848647, + 918700036, + 990877773, + 167401343, + 181302107, + 160953042, + 179693630, + 180814436, + 425980731, + -1, + 292974815, + 724661837, + 819727300, + 276888585, + 558595079, + 310500625, + -1, + 38770376, + -1, + 288038094, + 944301534, + 9129255, + -1, + 661244070, + -1, + 459616541, + -1, + -1, + -1, + 396476235, + -1, + -1, + -1, + 808495131, + 16951975, + -1, + 115088320, + -1, + -1, + 29016060, + 771687271, + 967591524, + -1, + -1, + -1, + 727423542, + 723661105, + 700211755, + 79508899, + -1, + -1, + 335932232, + -1, + 832151156, + 180414196, + 621068692, + 558748273, + -1, + -1, + 512713, + 462318044, + -1, + -1, + 148176891, + 622817172, + 267457896, + 543769653, + 306619062, + 571126953, + -1, + 163261392, + 689040585, + 457039479, + 872997051, + 683518631, + 239708795, + -1, + 406450654, + -1, + -1, + 746839398, + 633715513, + 909550284, + 443867513, + 356543163, + 293262274, + 715238104, + 25990264, + 274926504, + 455307225, + -1, + 38952118, + 30607747, + -1, + 358459497, + 917798954, + -1, + -1, + 948133264, + 79520310, + -1, + 970766556, + 662730185, + 567215519, + 27004179, + -1, + 577008404, + 980274297, + 322099234, + 272505434, + -1, + 272288380, + 351360237, + 899171760, + 653474762, + 212838889, + 953469480, + 874765796, + 290725123, + -1, + -1, + -1, + 270418190, + -1, + 36181165, + 753386607, + 971383603, + 666520339, + 480886267, + -1, + 301664428, + 703409020, + 867436057, + 372998158, + 530705208, + 121337439, + 365248466, + -1, + -1, + 894426511, + 628754171, + 237374673, + 53579423, + 435218061, + 576339386, + -1, + 56766280, + -1, + 288958358, + 675369052, + -1, + 689162810, + 845258364, + 398720602, + 526726304, + 40249467, + 929552215, + 668711992, + -1, + 67970070, + 793517167, + -1, + -1, + 686236526, + 622315115, + 816205508, + 21215447, + -1, + 214932050, + 413888569, + 394090290, + -1, + 352033851, + 287280850, + -1, + 430177585, + -1, + -1, + -1, + 680985822, + 873761603, + 758110, + 674656812, + 193545604, + -1, + -1, + -1, + -1, + -1, + 937419695, + 477306014, + 623032258, + -1, + 693757669, + 392633524, + -1, + 868426650, + 575983693, + 157311875, + -1, + 35242766, + 851864063, + -1, + 914065053, + 475006381, + 774850365, + 699875468, + 523652962, + 471988806, + -1, + 540561149, + 21337960, + 291790591, + 381400181, + 778364213, + 326580242, + -1, + 943778236, + -1, + -1, + 222957608, + -1, + 302198815, + 382272657, + 202446815, + 762965730, + 42961190, + -1, + -1, + -1, + 726683670, + -1, + 124328354, + 63595248, + 446948840, + 181898966, + -1, + 395292448, + -1, + 981816436, + 512136733, + -1, + 269267023, + -1, + 121604291, + 276784858, + 930119559, + 834949772, + -1, + -1, + 465103037, + 240712292, + -1, + 382140608, + 523538197, + 430743247, + 262972680, + 197747525, + -1, + 774335807, + -1, + 348273913, + 110179254, + 98334654, + 307165339, + -1, + -1, + 207307337, + -1, + 460155619, + 108631616, + 49924328, + 152163843, + -1, + 918794335, + 129182880, + 954150944, + 583643146, + 660731953, + 253075133, + 303425570, + 2238419, + -1, + 910116281, + -1, + -1, + 593843747, + -1, + 838562166, + 41648577, + -1, + 327174535, + -1, + -1, + 708979043, + 967830515, + 392253025, + 436753624, + 762820978, + 55948885, + -1, + 703742864, + -1, + 716156725, + -1, + 41249995, + 132895548, + 379654088, + -1, + 142183297, + -1, + -1, + 417655374, + 647752129, + 703644530, + -1, + 475546898, + 468875955, + 441980811, + 846661928, + -1, + 867169249, + 588291575, + -1, + -1, + 208989613, + 521703168, + -1, + 979017440, + 84621710, + 132618294, + 251487010, + 75932319, + -1, + -1, + -1, + 297507564, + 385846694, + -1, + 505063147, + -1, + 737266562, + 137731186, + -1, + -1, + 866152321, + 838706893, + 722436022, + -1, + 981176485, + 148717860, + -1, + 140323096, + -1, + -1, + 280136868, + 894220433, + 76582585, + 976051366, + 353849715, + 209865745, + -1, + 869819496, + -1, + 343074155, + 395414325, + 131566268, + -1, + 557151473, + 12421289, + -1, + -1, + 599315997, + 310187061, + 103140794, + 328411340, + 167744587, + -1, + -1, + 529961521, + 454460879, + 917541038, + 743026169, + 901903479, + 42859910, + -1, + -1, + 999073628, + 807419098, + 614568379, + -1, + -1, + 589201203, + -1, + 462095000, + 110923902, + 557905763, + 582108589, + 456373093, + 790096269, + 219674500, + 28214619, + 99531127, + 646019522, + -1, + 664096516, + 830657100, + 180182806, + 154179001, + 258000922, + 693863071, + -1, + 217745300, + 631208855, + 273534176, + -1, + 325591037, + -1, + 306538006, + -1, + 168588894, + -1, + -1, + 54635700, + 175984531, + 731661151, + 689363491, + 91496846, + 369953719, + 312635683, + -1, + 733785036, + 770823585, + 123355375, + 644540913, + 912646820, + 44268253, + 97228974, + 624020855, + 464306374, + 136807469, + 866864895, + 834844046, + 690092260, + 754033417, + 633532697, + -1, + -1, + 431441542, + 145066561, + 578181840, + 149035025, + 860990690, + 945676176, + 501972486, + -1, + 565002329, + 841643389, + 771163396, + 636605723, + -1, + -1, + 903408092, + 727308185, + -1, + 464375453, + 845392778, + 867853973, + -1, + 631253666, + -1, + 664193108, + 559936082, + -1, + -1, + 605970206, + -1, + 729306187, + -1, + 462637785, + 2956315, + 54249352, + -1, + 41983886, + 69618021, + 510836581, + 376067470, + 775435897, + -1, + 690125445, + 603090169, + 615301392, + 365098655, + -1, + 713052231, + 658407773, + -1, + 422164791, + 480955544, + 8577142, + 606591113, + 516501153, + 93412335, + 587542515, + 335256513, + 361896616, + -1, + 760592013, + 773444613, + 982900115, + -1, + -1, + -1, + 862801741, + 732584010, + -1, + 258991786, + -1, + -1, + 479413416, + -1, + -1, + 216963521, + 991538963, + 294152941, + 590529978, + 667273284, + 991601554, + 320732535, + -1, + -1, + -1, + 507035629, + 952660209, + -1, + 838177876, + -1, + -1, + -1, + 463749582, + 858281761, + 710157248, + -1, + 435856846, + 268567190, + -1, + 699711720, + -1, + -1, + 875960077, + 790191071, + 911565463, + 231435986, + -1, + 372513530, + -1, + 410893453, + -1, + -1, + -1, + 613753934, + -1, + 949074001, + 897180963, + 979167420, + 877697028, + 92602057, + 639330916, + -1, + 83156592, + 55187277, + 432800531, + 267781136, + 989786883, + 638955975, + 62015310, + 995535386, + 908428491, + 377239502, + -1, + -1, + 664174719, + 700368165, + 189177423, + 574901644, + -1, + 124842081, + -1, + -1, + 159892373, + 195855339, + -1, + 672518756, + -1, + 491116790, + -1, + 997315260, + 212170227, + 101536324, + 127548040, + 789428427, + 700443789, + -1, + 451915354, + -1, + 191302333, + -1, + 482743492, + -1, + 758964972, + 411122560, + -1, + 19802074, + 165425604, + 764293704, + 947450059, + -1, + -1, + 629984538, + -1, + 461753266, + 284951888, + 442085637, + -1, + 796072028, + 223442652, + -1, + 426490873, + 134152611, + -1, + 197832771, + 424579068, + 884326316, + 880078422, + 850032793, + 193431239, + -1, + 948803343, + 116454190, + 746711751, + 86387921, + -1, + 667852482, + 975743012, + -1, + 554534933, + 175774337, + 914509774, + 523637080, + 93516167, + 28289662, + 153125224, + 625953851, + -1, + 528313625, + 540653241, + 347028655, + -1, + 767816788, + 869312033, + -1, + 152821352, + -1, + 721803344, + 146625980, + 195225056, + -1, + 534334972, + 127653089, + 251628795, + 620935824, + 169494224, + -1, + 79555215, + -1, + -1, + 343585562, + -1, + 418492664, + 561141101, + -1, + 63000272, + 98799198, + 436181258, + -1, + 707768967, + 211699092, + -1, + 280617109, + 116097869, + -1, + 586825849, + -1, + 788479514, + 313293975, + 80017093, + -1, + 893810949, + 128531766, + 237505495, + -1, + 626511139, + 593773591, + -1, + -1, + 13875216, + 898652827, + 298547542, + -1, + 17123832, + 966261273, + -1, + -1, + 73636061, + -1, + -1, + 546781137, + 749955519, + 33994520, + 461293466, + 823527884, + 116221542, + 147191736, + 77715027, + 598311463, + 677593880, + -1, + 683337654, + 32313539, + 694262233, + 150471383, + 133472979, + 782546172, + 662887003, + 625816103, + 299577528, + 365445983, + 566246570, + 782647453, + 52449379, + 787144352, + 33814965, + 412953277, + -1, + 406724235, + 379917481, + 352717538, + 578939443, + 635204539, + -1, + -1, + 426397608, + 402680487, + 752212516, + 484533418, + 796678004, + -1, + 784161045, + -1, + 421022404, + -1, + 266993608, + -1, + 442740347, + -1, + 222970156, + 663816174, + -1, + 78898203, + 421861950, + -1, + 398084343, + 836036026, + 14896470, + 579999781, + 788650686, + -1, + 372707445, + -1, + 602770210, + -1, + 413924313, + -1, + 585094566, + -1, + 516970260, + 17428697, + 719693876, + 737786098, + 163812046, + 626233403, + 605656101, + 241754374, + -1, + -1, + -1, + -1, + 433645601, + 836225010, + -1, + 970050529, + 710709966, + 818969860, + 215758767, + 974423372, + 930710173, + 139161908, + -1, + 258746668, + 581259969, + 788291036, + 715100639, + -1, + 778304124, + 359217158, + 176625232, + -1, + 80428451, + 824858269, + 606824034, + 277495980, + 207069852, + 659777180, + 690137523, + 887936303, + 770566107, + 335901889, + -1, + 92263119, + 834374174, + 839685307, + 279054409, + 278301535, + 732955672, + 308096230, + 982287876, + 754726085, + 977890396, + 255663596, + 821381356, + 311419799, + -1, + 427298065, + 270048706, + 189262900, + 200536104, + 854500001, + 198091262, + 252441052, + 14556688, + 332782235, + 870565847, + -1, + 651736185, + -1, + 193838091, + -1, + -1, + 616641431, + 831943242, + 384918075, + 746878650, + -1, + 756766888, + 279867000, + 667589919, + 599339631, + -1, + 449990870, + -1, + 817050396, + 152842103, + 793649446, + -1, + 910188340, + -1, + -1, + 501728968, + 494883144, + -1, + 257194147, + 456147745, + 559098608, + 271859571, + 224398397, + 569103097, + 146243203, + 867788168, + 256900866, + -1, + 555266856, + 346315549, + -1, + 70251034, + -1, + 647059481, + 44626447, + 398260940, + 235427898, + 114514646, + 509758015, + 914149342, + 730794263, + 859352051, + 526253596, + 110288341, + -1, + 432214473, + 321217377, + -1, + 113842130, + 368833957, + 95820219, + -1, + 182307896, + 695341360, + 632245727, + -1, + 603490048, + 877259276, + 377358965, + 254546819, + 115889402, + 369487201, + -1, + 188538847, + -1, + -1, + 170585460, + 310047116, + 977577091, + 678823362, + -1, + 397344081, + 487204345, + 422930612, + 329376107, + -1, + -1, + 845799656, + -1, + 377353470, + 704196439, + 493849473, + -1, + -1, + 161245688, + 917010866, + 259923575, + 109606258, + 879334224, + -1, + 520302372, + 679322139, + 707649365, + 760188000, + -1, + 706638917, + -1, + 821071433, + 456938147, + 526116555, + 486041905, + 556258137, + -1, + 739485994, + 735926610, + -1, + 764674625, + 966623187, + -1, + -1, + 338747469, + 338475360, + 124232710, + 129170910, + 387076791, + 832826392, + -1, + 127598806, + 230675055, + 829609289, + 802701939, + 129239091, + -1, + -1, + 478830277, + 756040151, + -1, + -1, + 782172786, + -1, + 778104129, + -1, + 687647200, + 340592984, + 517638911, + 785302853, + 29927537, + 773109608, + 229591898, + 289763899, + 702528647, + -1, + 783878844, + 416000532, + 694004689, + -1, + 634057402, + 443221304, + 970493137, + 593196349, + -1, + 655972539, + -1, + 681120529, + -1, + 537898027, + -1, + 628680371, + 568795434, + 145366923, + 292207469, + 155807532, + 866370912, + 885378776, + 885462450, + -1, + 786325800, + -1, + 552132383, + 577017482, + -1, + 401314260, + 75962207, + -1, + 756422518, + -1, + -1, + 171309230, + 434709196, + 525365302, + -1, + -1, + 858108854, + 560943087, + 130302445, + -1, + 848104925, + 764653667, + 537657431, + 339259819, + 659130258, + 109746326, + 82265494, + -1, + 645337453, + 713539406, + 594496969, + 890774408, + -1, + 738554125, + 489526809, + 729312381, + 715478399, + 736647772, + -1, + 469766129, + 598693175, + 755278999, + 795174431, + -1, + 773993763, + 404716346, + -1, + 461577789, + 190222405, + -1, + -1, + 282965231, + 297443999, + 309398707, + 22076074, + 703814441, + 733334063, + 432620501, + 237515892, + 331927924, + 147130761, + 75150345, + 387840198, + 406395269, + -1, + 524018604, + 429782032, + 678700295, + 831613889, + -1, + -1, + 286935794, + -1, + 616499582, + 74414671, + 371423578, + 121494357, + 345895137, + -1, + -1, + 646002444, + 399669476, + 31049232, + -1, + 421415935, + 974434973, + 59205259, + 779011263, + 199327904, + -1, + 539636530, + 831011658, + -1, + 342507168, + 226775316, + -1, + 812219058, + 643847931, + 816384536, + 78432033, + 844989594, + 794947376, + 790821316, + -1, + -1, + 186308345, + 310601369, + 988540086, + 50814341, + -1, + 389809903, + 544650365, + 267320378, + 738602943, + 547093047, + 616871541, + 394956359, + 890643349, + 187886384, + 255086191, + -1, + 517731274, + 727791661, + -1, + 732560440, + 881686992, + -1, + 788431918, + 827291879, + 462239253, + 315780579, + -1, + 193681275, + 326145709, + 858343425, + -1, + 542834925, + -1, + 374541686, + 821620711, + 691842021, + -1, + -1, + 402857137, + 51066810, + -1, + 886539972, + -1, + -1, + 121621189, + 770748452, + 604127283, + 32375581, + 270989330, + 919432986, + 83173848, + -1, + -1, + -1, + 884905439, + 846033840, + -1, + -1, + -1, + 858971258, + 89637199, + 445247917, + 180593315, + -1, + -1, + 630147843, + 751485536, + -1, + 707732829, + 987056142, + 90020462, + 235122887, + 215686637, + 627244768, + 803746545, + -1, + -1, + 993235833, + 565976953, + 148295284, + -1, + -1, + -1, + 947328128, + 147671878, + 939850769, + 824532188, + 287597363, + 866415789, + 706099146, + 522131637, + 362385589, + 365460642, + 12376860, + -1, + -1, + 643349638, + 336065612, + 212665365, + 194199937, + 713471444, + 906129469, + -1, + -1, + -1, + 483074696, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 490740040, + -1, + -1, + 641246427, + 468193776, + -1, + 281389450, + 356844285, + -1, + 440219690, + -1, + -1, + -1, + -1, + 588600913, + 143428015, + 461803555, + -1, + -1, + 444656558, + 847881136, + -1, + 229211921, + 176194996, + 404534712, + 709783781, + 645460312, + -1, + -1, + 450933600, + 808291224, + 628673573, + -1, + -1, + -1, + 129375066, + 734976804, + 3965501, + -1, + 449007728, + -1, + -1, + -1, + -1, + 247112439, + 63035503, + -1, + 193727724, + 147478259, + 573791933, + -1, + 382428927, + 582225875, + -1, + -1, + -1, + 182649276, + 269453233, + 959106366, + 871155771, + 141539616, + 777230683, + -1, + 763754562, + 247158145, + 840036272, + 765204264, + 184039521, + 488227027, + 242735046, + -1, + -1, + -1, + 285157793, + 97449194, + 367202548, + 25523727, + 964685862, + 410263062, + 488891020, + 986280569, + 449340238, + 95654328, + 804244805, + 723083469, + -1, + 201184180, + 82543920, + 595815520, + 699689736, + -1, + -1, + 693819108, + -1, + 732015412, + 67242707, + -1, + 632089130, + 623452634, + -1, + 438416395, + 997391603, + -1, + 253319552, + 561817959, + -1, + 784343066, + -1, + 461275124, + -1, + 744810095, + 870859371, + -1, + -1, + 522604355, + -1, + 797174858, + 601058909, + 971897104, + 186514530, + -1, + 748991310, + 730546000, + -1, + 280709506, + 353709263, + -1, + -1, + -1, + 135642010, + -1, + 464466308, + 811895772, + -1, + 280387174, + 902691058, + 82213281, + -1, + -1, + -1, + -1, + 642923975, + 937381810, + 28510053, + 571296910, + 687887750, + 975720905, + 131789166, + 32552569, + -1, + 314136042, + 395850733, + 862090200, + 989342901, + 404392016, + 475721707, + 644416200, + -1, + 853850570, + -1, + 443402806, + 902585985, + 928303016, + 232028540, + 898961029, + 434036788, + 51168427, + -1, + 734001831, + 127921873, + -1, + -1, + 875158671, + 712783642, + 13829380, + -1, + 891268649, + 554868400, + 787054814, + -1, + 825704957, + 833596948, + 8509857, + 910438890, + 532029569, + 175105807, + -1, + -1, + 659063291, + 192839041, + 801687086, + -1, + 643599713, + 960431300, + 703949569, + -1, + 323911666, + -1, + 263868850, + 488252194, + 797779853, + 929122522, + 576361464, + -1, + 522119981, + 832034405, + -1, + -1, + -1, + 394032134, + -1, + 120010189, + -1, + 27953598, + 755746228, + 248301973, + 378254704, + 719670919, + 153504371, + -1, + -1, + -1, + 907257693, + 5147600, + 478515443, + -1, + 637714879, + -1, + 293611969, + -1, + -1, + 725843632, + 862432331, + 139199859, + 153464140, + 309120947, + 724957026, + 73321996, + 43116793, + 823690342, + 306364189, + 806820328, + -1, + 537031371, + -1, + 908457597, + 717568254, + -1, + 70310884, + 274169722, + 359619904, + -1, + 609351154, + 455562862, + 683861506, + 507915022, + 754677576, + 809368002, + -1, + 300948841, + -1, + 816010207, + -1, + 505643279, + 84792482, + -1, + -1, + 226906132, + 126706112, + 932303965, + 699070816, + 841548378, + 713664327, + -1, + -1, + -1, + 867620008, + 950205717, + 182551002, + 73003963, + 611886789, + 475668368, + 352615576, + 541603443, + 622304604, + 754289918, + 668016808, + -1, + 776073465, + 170517779, + -1, + 363966154, + 246793888, + 638096198, + 981567494, + 931360907, + -1, + -1, + -1, + -1, + 674523888, + 312397108, + -1, + 205814732, + 89262033, + 852375129, + 579506335, + 507206310, + 987469712, + 620146891, + 87626224, + 482693402, + -1, + 87279622, + 246693584, + 258304565, + 676972645, + 594905824, + 622363992, + 24226608, + -1, + 778175767, + 970402849, + 449965003, + 39381836, + 215328714, + -1, + 965809329, + -1, + 725064517, + -1, + -1, + 646707625, + -1, + 436521416, + 766848111, + 125339065, + 912689790, + 530938647, + 984066797, + 868128791, + -1, + -1, + -1, + -1, + 533767123, + 394061914, + 852010653, + 615183357, + 282448581, + -1, + 30080761, + 772896938, + 278274226, + 353696196, + 516290460, + 906842172, + 209845722, + -1, + 307648064, + 112353928, + 221952650, + 45890610, + 473566502, + 756233286, + -1, + 784730078, + 750835118, + -1, + -1, + 390552538, + -1, + 471954423, + 998736389, + 311063020, + 324742557, + 845862708, + 723375125, + 157284185, + -1, + 180533482, + 480559224, + -1, + 641149873, + -1, + 202017248, + -1, + 11916883, + -1, + 13384732, + 166186152, + -1, + 174581675, + -1, + -1, + -1, + 260598372, + 560271076, + -1, + -1, + 957567155, + 46405379, + 707106773, + 445679143, + 390116133, + -1, + 956722050, + -1, + -1, + 377270371, + 988173502, + 892150854, + 507479960, + 667413199, + 415795627, + -1, + 374857776, + 933622057, + 287849412, + 35201718, + 218362635, + 987821204, + 117031130, + 462494076, + 839319082, + -1, + 501137089, + 330292259, + -1, + 37787314, + -1, + 716763424, + -1, + 450976471, + 989726680, + 511360485, + -1, + -1, + -1, + 717199402, + 450493647, + -1, + 905762036, + 89884435, + -1, + -1, + 464437063, + -1, + -1, + 349503986, + 111094077, + 31469796, + 561132040, + 605828738, + 190817476, + -1, + 49026563, + 46667146, + -1, + 809190393, + 345766355, + 468953619, + -1, + 354485508, + 293677057, + 542401988, + 955120369, + 828541677, + 785582272, + 659847480, + 270935168, + 65788699, + -1, + -1, + 560232878, + -1, + 562577693, + -1, + 331598404, + 345618333, + 629016401, + 640239123, + 935855968, + -1, + 582946892, + 30989780, + -1, + 803967233, + 914406420, + 880146040, + -1, + 32949389, + 712152468, + -1, + 228323086, + -1, + 981649516, + 741995418, + 34186512, + -1, + 119705912, + 694498678, + 480227719, + 45771273, + -1, + 864971912, + 258803115, + 174415867, + 580149079, + -1, + 844123177, + 134404114, + -1, + 593886500, + 990296143, + 297574705, + 488957922, + -1, + 875137875, + 400876266, + -1, + 674880806, + 870183587, + 112907483, + 609865937, + 326233732, + -1, + -1, + -1, + -1, + -1, + 677763505, + 503373802, + -1, + 131482673, + 706643129, + -1, + 479708068, + 125420809, + 576332172, + 821457580, + 841125487, + -1, + 114144225, + 664495231, + -1, + 729311710, + 730072074, + 415376847, + 765745414, + -1, + -1, + -1, + -1, + -1, + 379601654, + 180087065, + 250539668, + 656964533, + -1, + 212609954, + 346000286, + -1, + 506274169, + -1, + 759408697, + 439669394, + 419839699, + 678220734, + 700095906, + 69950485, + -1, + -1, + -1, + 118978591, + 541855803, + -1, + -1, + 598746916, + 725099686, + 494094041, + 89516056, + 345198640, + -1, + 359387811, + 191361422, + 39269158, + -1, + -1, + 175851914, + 779872669, + -1, + 161790418, + -1, + 163972041, + 392470179, + -1, + -1, + 129203742, + 991541208, + 990544482, + 230778877, + 546954608, + -1, + 692733330, + 870213046, + 103409574, + -1, + 324586256, + 482000674, + 925681948, + 309733934, + 762834436, + -1, + 812647157, + 688085839, + 460780112, + 451940673, + 229413932, + 923097620, + 563500679, + -1, + 441948714, + 679371673, + 157379985, + 673695398, + 856587068, + -1, + -1, + -1, + -1, + 655676756, + -1, + 406681252, + -1, + 382844547, + 818606051, + 372976367, + 101036242, + 7647236, + 597451484, + 140087186, + 565457452, + 617613031, + 502580478, + -1, + -1, + 5905486, + -1, + -1, + 284874254, + -1, + 420829361, + 950263295, + -1, + 294644622, + 636696096, + -1, + 956443913, + 425787382, + -1, + 912308014, + 863265524, + 168844693, + -1, + 303191985, + 368115692, + 802434506, + -1, + 945320501, + 171489579, + 399494279, + 373320253, + 685027556, + -1, + 50981057, + 567307070, + 951564199, + -1, + 571939595, + 895000606, + 416088689, + -1, + 543052998, + -1, + 950172376, + -1, + 16408170, + -1, + -1, + -1, + -1, + 561744727, + 200463959, + 747703694, + 485192463, + 259790631, + -1, + 647482559, + 255312992, + 896917085, + 484915322, + 368792258, + 709512623, + 276262029, + 799122134, + -1, + -1, + 702852697, + 765833739, + -1, + 415916550, + 969705978, + -1, + 917160865, + 333327742, + 527795548, + 844212490, + -1, + 575019819, + 709883162, + 857932747, + -1, + 781324517, + 746195737, + 24556102, + 50822510, + 754684505, + 846114305, + 260704859, + 978025573, + 932121580, + -1, + 52916069, + -1, + -1, + 713588836, + 16444700, + 562546045, + 789221715, + 585804903, + -1, + 928761670, + 889138174, + -1, + 736665754, + -1, + -1, + -1, + -1, + 137288217, + -1, + 847631481, + -1, + 837012925, + 42159428, + 297743461, + 113677981, + 306304790, + -1, + 361773209, + -1, + 501272453, + 465738559, + 589797764, + -1, + 627435975, + 461873151, + -1, + 656874755, + 509401822, + 564362647, + -1, + 406780090, + -1, + 179990009, + 289295920, + -1, + 84385982, + 323496743, + 656684696, + 464544767, + 672047618, + -1, + -1, + 544260125, + 358725264, + 304345301, + 533581206, + 161955034, + 985199387, + 698099569, + 63926711, + 220787403, + 742499474, + 506807877, + -1, + -1, + 917330274, + -1, + 863270461, + 729483742, + 301881761, + 420907075, + 137004022, + -1, + 618425575, + 957682367, + -1, + -1, + -1, + 734669265, + -1, + 125970074, + 696653893, + 135273989, + 270748659, + 377940912, + -1, + -1, + -1, + -1, + -1, + 160960088, + -1, + -1, + 918667188, + 954287150, + -1, + -1, + -1, + 468486631, + 603929518, + -1, + 444040010, + 379432256, + -1, + 241063444, + 853944137, + -1, + 401178224, + 915775413, + 627324490, + -1, + 227821775, + -1, + -1, + 240605064, + 508933290, + 685134309, + 156084853, + 490697826, + -1, + -1, + 899554983, + 674923675, + 936205498, + 38138451, + 643955457, + 198511384, + 634072708, + 720715481, + 603580183, + -1, + 635367037, + 739896160, + -1, + 810723045, + -1, + 430134368, + -1, + -1, + 61881879, + -1, + 960800420, + -1, + 643595903, + 964077233, + 354911522, + 604048642, + -1, + 22058797, + 510688231, + 796817111, + 227666571, + -1, + 434153315, + 135981224, + 553938028, + 388952524, + 823788012, + -1, + 875586847, + 185250518, + 227756920, + -1, + 166512483, + 961699788, + 686995438, + 442887248, + 792513223, + 989015947, + 445088115, + 183871784, + 822695970, + 167191407, + 646704960, + 196376730, + 610966313, + 881048728, + 195746834, + 205884061, + 770521231, + 311451010, + 736183930, + 895769412, + 922840229, + 551973253, + 703408708, + 445331497, + 450420355, + 845088100, + 981204694, + 477714264, + 76702049, + -1, + -1, + -1, + 122612217, + 174525638, + 517894762, + 621698730, + 93194667, + 526142261, + 725138743, + 441917150, + -1, + 933354867, + 452376213, + 257380269, + -1, + 734809581, + 987733852, + 633891535, + 110018672, + -1, + -1, + -1, + 321769130, + 899102693, + -1, + 567223890, + -1, + -1, + 354183743, + 893145208, + -1, + 789167193, + -1, + -1, + -1, + -1, + 759185232, + -1, + -1, + -1, + -1, + 499496199, + 715093574, + -1, + 39235451, + -1, + 537029421, + 372181832, + 877467815, + 664671086, + 763327181, + 606909836, + 417390882, + -1, + -1, + -1, + -1, + 663991403, + -1, + 476168609, + 496235984, + 194957682, + -1, + 321906914, + 511779357, + 972242488, + 535726505, + 253919403, + -1, + 573648592, + 995016809, + -1, + 464169129, + 939562285, + 268632728, + 454276597, + 11176622, + 88689261, + 488692670, + -1, + 510111715, + -1, + -1, + 500247265, + -1, + -1, + 956087196, + 84768622, + 361791667, + 120583779, + -1, + 538006555, + 444342863, + 386700757, + 511903734, + 990775411, + -1, + -1, + -1, + -1, + 641835688, + 905003466, + 689036625, + -1, + 321292918, + -1, + 557924697, + 1096066, + 971157024, + 849764428, + 255319396, + -1, + 527184954, + 376261413, + 560858317, + 818360690, + 398147222, + 853773662, + 878803085, + -1, + 928683816, + 586015245, + 200918717, + -1, + -1, + 525434027, + 362142775, + 471175863, + -1, + 712180496, + -1, + -1, + 830620415, + 847182942, + -1, + -1, + 331576017, + -1, + 662025489, + -1, + 419074940, + -1, + -1, + 359650468, + 961027155, + 8348307, + -1, + -1, + -1, + 849072598, + 620850503, + -1, + -1, + -1, + 376196117, + 14921941, + -1, + 662753303, + 834553641, + 463382058, + -1, + 374970264, + 177275454, + 179164517, + -1, + 738920838, + 828597699, + 268328159, + 899921209, + 344299306, + 125312815, + 682479236, + 908830133, + 485869614, + -1, + 804031305, + 785878747, + 292915136, + 892661664, + -1, + 738329256, + 102527088, + -1, + -1, + -1, + 620995940, + 882584701, + 985691662, + 10379612, + -1, + 239610434, + 720565784, + -1, + 183353109, + 274319882, + -1, + 691606810, + 74791707, + 164009746, + 134583775, + 621198917, + 367506970, + -1, + -1, + 895957387, + 932904934, + 720925799, + 349977088, + 848021279, + -1, + 361595704, + 326839598, + 283995721, + -1, + -1, + 773851451, + 981514969, + 894994317, + -1, + 226019888, + 37952050, + -1, + 227111483, + 215797295, + 280084807, + 108737544, + -1, + -1, + -1, + 242018265, + 939422997, + 653526477, + 511103465, + -1, + 456434164, + -1, + 423461255, + 102448096, + 91637730, + 146931862, + -1, + 869074048, + -1, + -1, + 381202206, + 809947836, + 204409241, + 459627250, + 93819637, + 304006461, + 294821078, + 282998671, + 419585732, + 987965467, + 136068074, + 958326987, + 236432289, + 233903136, + 23155658, + -1, + 9398078, + 567281290, + 406753544, + -1, + 772813828, + 595601819, + 505062089, + -1, + 303408363, + 881682437, + 225952127, + -1, + 16414771, + 470701489, + 732218555, + 483729813, + 381972381, + 897713847, + 76668752, + -1, + 149527826, + -1, + 314095053, + -1, + -1, + 738011351, + 539322901, + 787788579, + -1, + 335106467, + 221984497, + 219943166, + -1, + -1, + -1, + -1, + 856479509, + -1, + 506270576, + 717250442, + 568266699, + 586371045, + 38258324, + 863450530, + 464352709, + 226979101, + 444774784, + 281054964, + 198601085, + 919076793, + 809439840, + 188783904, + 565229105, + 582562111, + 972501513, + 329330827, + 816408873, + 927981474, + 138285734, + 517703082, + 448293373, + 120141753, + 313413529, + 707228843, + 112338458, + 888989363, + -1, + -1, + 189280954, + 732730891, + 8644523, + 284795007, + -1, + 933076515, + 496752351, + 121283420, + 471659501, + -1, + 491275394, + -1, + 832820454, + 944562179, + 565049629, + -1, + 856409611, + 598499547, + 849291985, + -1, + -1, + -1, + 446541568, + 920314043, + -1, + -1, + -1, + 957575412, + 255062755, + 208853860, + -1, + -1, + 97351997, + 305911103, + 343160565, + 410803511, + -1, + 165569847, + -1, + 904286965, + 981045649, + 746397355, + 240947001, + -1, + 410756958, + 732081968, + 409295853, + 43557521, + -1, + 115220136, + 538634248, + 596424274, + 828064347, + -1, + 588123882, + 188408108, + -1, + 990367786, + -1, + 726964713, + 632005612, + 142036983, + 232484786, + 829013997, + 376761428, + 796759366, + 533468531, + 186696124, + 134004155, + 418660649, + -1, + 568737410, + 181447419, + -1, + -1, + -1, + -1, + 13778578, + 71266170, + 939409314, + 242808251, + 712360725, + 933958585, + 329232510, + 267140854, + 685153270, + -1, + -1, + -1, + 522260087, + 625085549, + 307908957, + 279496807, + 566687087, + 931097480, + 620753774, + 716072846, + 656326275, + -1, + 350181641, + 58711205, + 419887706, + 9245400, + 912225028, + -1, + -1, + 410473815, + 629541453, + 14795471, + 426196212, + -1, + 890547481, + -1, + -1, + -1, + 252186009, + 273816064, + 292876761, + -1, + 332553064, + 553915188, + 554749752, + -1, + 540620330, + 600875793, + 117673233, + 827888355, + -1, + 280285289, + 603980048, + 538085863, + 162230928, + -1, + 776182315, + 890899666, + 895144266, + 807978312, + -1, + -1, + -1, + 688025593, + -1, + 915624358, + 704614054, + -1, + 713565209, + 795939146, + 597600223, + -1, + 186210926, + -1, + 487951817, + 368542181, + -1, + -1, + -1, + -1, + 743987668, + 274433484, + 123521730, + 876674839, + 952508674, + -1, + 8712387, + 591078259, + 26408654, + 341062866, + 763197906, + 469518581, + -1, + 778479683, + 282393514, + 562861014, + -1, + 36233233, + 180959684, + 309792061, + -1, + 813809443, + 545268002, + 993766270, + -1, + -1, + -1, + -1, + 699307600, + -1, + -1, + 496568109, + 52836873, + 790078097, + 900716720, + 866304979, + 627931335, + 660148940, + -1, + 370501496, + 532426169, + -1, + -1, + 881702879, + -1, + 80014414, + 38711532, + -1, + 359195031, + -1, + 242355952, + 208162453, + 758299313, + -1, + 965345507, + 38942968, + 840254133, + 922434170, + 809486618, + 806178537, + 340632564, + -1, + 687708396, + 155379423, + 808289997, + 623581643, + -1, + -1, + -1, + 652242298, + 761827538, + -1, + -1, + -1, + 562537405, + 207526392, + 226376390, + -1, + 886440395, + -1, + -1, + 155912533, + -1, + 420429191, + 370955821, + 710816190, + -1, + 776788470, + -1, + 538261743, + 338683054, + 860455263, + -1, + 97943493, + 253460821, + 115938997, + 350144240, + 103381376, + 866411753, + 747140454, + -1, + 357242867, + -1, + 351489086, + 416187384, + 979552382, + 839344078, + -1, + 515854799, + 700693643, + 433466261, + 538541446, + 352402190, + 786660552, + -1, + 925247599, + 212918598, + 905132909, + 241573840, + -1, + 686200697, + 854412696, + 255884694, + -1, + -1, + 631859764, + 86740686, + -1, + -1, + 947638095, + 601161062, + 499744612, + 401629224, + 809174549, + 33259133, + -1, + -1, + 468755187, + 517702463, + 313583422, + 137911375, + 840719527, + 281819859, + 178525120, + 506952081, + -1, + -1, + -1, + 107331453, + 723647284, + 352528276, + 301826251, + 144070576, + 290654681, + 366638552, + 158635200, + 454284423, + 63465478, + 778177543, + 409715555, + 25744853, + 447510700, + -1, + -1, + -1, + 544317622, + 60168102, + 618874620, + 41417589, + 614127934, + 556214465, + 7638180, + 601807535, + -1, + 169427703, + 230880421, + -1, + 511060877, + 597360434, + -1, + 361151346, + 692344894, + 987708311, + 344721764, + 665421027, + 854973592, + 129127411, + 983818633, + 997776283, + 180983892, + 234333039, + 166716240, + 319645969, + 192900532, + -1, + 164210297, + -1, + -1, + 573547201, + 954234768, + -1, + -1, + -1, + 351495465, + 874367231, + 951810769, + 799471458, + -1, + 944912742, + -1, + 787636041, + -1, + -1, + 599758590, + 914098513, + -1, + -1, + 522150541, + 137305186, + 324232602, + 61049782, + 71495717, + -1, + 872481329, + -1, + 375233387, + 105782611, + 194377606, + 738080035, + 836883528, + 929788255, + -1, + 654590671, + -1, + 129348584, + -1, + 630034425, + 936271227, + 901131566, + 729905893, + 714377704, + -1, + -1, + -1, + 977680591, + 453879998, + 837418948, + -1, + -1, + 318190710, + -1, + 745496244, + -1, + 7333831, + 16956298, + 811376306, + 535626793, + 719669372, + -1, + 459348934, + 988392008, + 205040157, + 190084977, + 140909303, + 864326860, + 361877523, + -1, + 865220456, + 48967352, + 33755617, + -1, + 160339634, + 425525743, + 837577775, + 155503174, + -1, + -1, + 112015259, + -1, + 337556634, + -1, + 938313630, + -1, + 7744534, + 509568179, + -1, + 405094155, + 571345201, + 782923681, + 409509083, + 719788291, + 377856146, + 788641010, + 708498944, + 155290101, + 440251308, + 453342196, + 90298887, + 225131724, + 578787487, + 164670181, + 120133943, + 938093334, + 876728946, + 963395760, + 892452139, + 384790435, + -1, + -1, + 985848849, + 221339089, + -1, + -1, + 109693375, + -1, + 265693841, + 2738609, + 168180883, + -1, + 527825043, + 55039211, + 668460176, + -1, + 997474459, + -1, + 435113822, + 264948160, + -1, + -1, + -1, + -1, + -1, + 427694675, + 961437961, + 212489227, + -1, + -1, + -1, + 129678456, + 894627432, + 361375833, + 306264822, + -1, + -1, + 175000004, + 604546649, + -1, + 457400062, + 273478721, + -1, + -1, + 817398442, + -1, + 678818043, + -1, + 647517268, + 280287186, + 676923076, + -1, + -1, + 585324011, + -1, + 338672657, + -1, + 917163273, + 274971713, + -1, + 480985969, + 257809100, + 679098898, + 199073701, + 753946647, + 995833919, + 294411992, + 411663038, + 732271310, + -1, + 22067306, + -1, + 93812048, + 992632034, + 866941979, + -1, + 668130952, + 959220998, + -1, + 726365449, + -1, + 385521540, + 165789450, + 188834772, + 432565540, + 952167462, + 360177391, + 814221344, + 165044016, + 649521101, + 301525838, + 86498516, + -1, + 950868673, + 81092690, + 61982406, + 863173551, + 677475600, + -1, + 976708117, + -1, + 733285536, + -1, + 252630408, + -1, + -1, + 543839006, + -1, + -1, + -1, + -1, + 68803435, + 746075244, + 74972097, + -1, + 625740010, + 43883173, + 369856086, + -1, + 631285205, + -1, + 777623497, + 946647652, + -1, + -1, + 511367111, + 413455400, + 597996832, + 909162434, + 750317612, + 21064770, + -1, + 773959094, + 949062998, + 477147438, + 422674907, + -1, + 306833061, + 337073804, + 600528673, + -1, + 683901969, + 132528719, + -1, + -1, + 882832030, + 809314522, + 698829535, + 260021674, + -1, + -1, + 850254897, + 229106500, + -1, + 794321149, + 83039474, + 633308820, + 336388105, + 955571730, + 860562812, + -1, + 628042846, + 223267038, + -1, + 367744003, + 702418346, + 565505413, + 478614613, + 85286026, + 54574348, + 939722026, + -1, + 211720594, + -1, + 404602759, + 785503183, + -1, + 645573645, + -1, + -1, + 526705337, + -1, + 794068616, + 476342193, + -1, + 750197098, + -1, + 757697479, + 437557847, + 669347806, + 756057868, + 690179070, + 143926154, + -1, + 861155517, + 860035887, + 500372494, + -1, + 299447564, + 327523455, + 726130222, + -1, + 637332779, + 690114874, + -1, + -1, + 670163140, + 550681437, + -1, + -1, + 976095619, + -1, + 775488610, + 33926160, + 687534319, + 314177722, + 154589506, + 505357311, + -1, + 446485130, + -1, + 908917431, + -1, + 664609834, + 250376071, + 546699103, + 728360875, + 737970087, + 64460678, + 353588861, + -1, + -1, + 855543417, + 897780632, + 794755380, + 950990508, + 413651843, + 187056331, + -1, + 774930125, + 647116624, + -1, + 826169030, + 211173799, + 641972988, + -1, + 397568994, + 694825057, + -1, + 257358836, + 968492778, + 263876784, + 915975000, + 377049497, + -1, + 528609999, + -1, + 217991059, + -1, + 211372487, + -1, + -1, + 620085253, + 840733536, + 576308673, + -1, + 896289173, + -1, + -1, + 948908226, + -1, + 321339074, + 144557996, + -1, + -1, + -1, + 447145253, + 392999778, + 47650345, + 18383874, + 645561246, + 800592649, + 549775990, + 541728180, + 760349137, + 418722260, + 682299189, + -1, + -1, + -1, + 908670260, + 218360660, + 747959592, + -1, + 931745650, + 709997001, + 380975651, + 202708269, + 720772373, + -1, + 962704362, + 623944128, + 318576670, + 274379015, + 542295452, + 330542839, + 516517638, + 596100682, + -1, + 352451879, + 115537911, + 446318227, + -1, + 296596811, + -1, + 809736293, + -1, + 161882149, + -1, + 837961526, + -1, + 18796933, + 506992732, + 439101212, + 970190010, + 737912211, + 7087185, + -1, + 513166547, + 850157274, + 688034221, + 772830132, + 885157251, + 230802549, + -1, + 690690063, + 285640704, + 278419364, + 566687642, + 317386903, + 475300998, + -1, + 119785529, + 195281261, + 871378234, + 157835743, + 211337464, + 989408126, + 656408296, + 287489046, + -1, + 710538044, + 911666992, + 795175857, + 615067291, + -1, + 547793413, + 923158836, + 802270374, + 554825164, + 554588294, + 645303828, + 708685313, + 454227102, + 39497130, + -1, + 180209963, + 484099855, + -1, + -1, + 180791948, + -1, + 41879377, + -1, + 39182919, + 829502140, + 59505817, + 18030815, + 91349142, + 423489363, + -1, + 757064689, + -1, + -1, + -1, + 216057072, + 950578790, + 327158207, + 417945682, + 916745994, + 463938453, + 783977242, + -1, + 740245115, + -1, + 851665479, + -1, + 581351276, + 384155331, + 630772902, + 237012582, + 298433604, + 367585459, + -1, + 317204923, + -1, + -1, + 863898229, + 463367119, + -1, + 682359640, + 930844236, + 843901060, + 468688750, + -1, + 11634516, + 90939232, + 325325849, + 83432790, + -1, + 318508742, + 878549518, + 880667187, + 625285018, + -1, + 624366912, + 354772089, + -1, + -1, + 301600242, + 426516362, + 168225754, + 836557391, + 284813241, + -1, + 690368406, + 473964700, + -1, + 454972649, + 2317971, + 690616569, + 68979626, + -1, + 266898355, + 220937137, + -1, + -1, + 232232831, + 898356310, + 537648942, + 494505843, + 253269927, + 673433750, + -1, + -1, + 312567074, + 494781486, + 909863951, + 636178340, + 643471277, + -1, + 803069134, + 612406764, + 804996761, + 214746778, + 819415018, + 822882376, + 747387724, + 805545663, + 70238975, + 378125475, + 156300531, + -1, + -1, + -1, + -1, + 960951904, + 682926493, + 287907740, + 758552218, + 508445063, + 711320626, + -1, + 158910399, + 516692088, + -1, + 450065256, + 522018449, + 138900689, + 934243587, + 765741110, + 457738819, + -1, + 355793916, + 85364422, + 463046337, + -1, + -1, + 664994731, + 427248088, + -1, + 689471851, + 729255501, + 191385883, + -1, + 919070368, + -1, + 261993127, + 235497118, + 215389297, + 164531658, + 18315653, + 486613399, + 767315721, + 807440259, + 620598247, + 610533412, + -1, + 356995225, + -1, + -1, + 385420187, + 94603037, + 226689744, + 532542645, + -1, + 611539651, + -1, + -1, + 120743117, + 853850331, + 756753866, + -1, + 359800046, + -1, + 617415111, + 749780594, + 632772722, + -1, + 290177958, + -1, + -1, + 193036337, + 829284714, + -1, + -1, + 299534509, + 434908609, + 389965960, + 873476998, + 184971069, + 702590320, + 567791504, + 436921129, + 953631288, + -1, + 386115315, + 976022696, + 703545350, + 738447122, + 777741898, + 388333002, + 732234281, + 548706643, + 88190954, + -1, + 426031841, + -1, + 262245454, + -1, + -1, + -1, + 192993028, + 720104209, + -1, + -1, + 591328387, + -1, + 422356787, + 877873062, + -1, + -1, + 331505463, + 680036930, + -1, + 455686226, + -1, + 609916393, + 718815813, + 422206364, + 103372345, + -1, + 369182820, + 562835348, + -1, + 982933532, + 867403094, + 680163901, + 932003275, + 614278708, + 933899981, + 832208158, + -1, + -1, + 721315096, + 7631016, + 148096294, + 624648215, + 49232771, + 909234774, + -1, + 938738002, + 802455025, + -1, + -1, + 24610765, + 129749564, + 572141183, + 381685133, + 231654825, + 151141353, + 481827282, + 605238206, + 31005703, + 810030292, + 558675643, + 412491623, + 83346449, + 929214815, + 132747748, + 340575009, + 851799849, + 873898519, + -1, + 975068174, + 115588090, + -1, + -1, + 499455856, + -1, + 753616695, + -1, + -1, + 509647662, + 822276709, + 657378921, + 104038427, + -1, + -1, + -1, + -1, + 383680690, + 600690144, + 126454317, + -1, + 745824649, + 702587081, + 796960773, + 804182401, + 652989350, + 681732285, + 344598990, + 375275483, + 735099734, + 987394877, + -1, + 540062427, + -1, + -1, + 93166829, + 330610571, + 271018725, + 397106971, + 2360450, + 872733862, + 821438705, + 575608233, + 559927316, + 595414680, + 604292135, + -1, + 165444833, + -1, + -1, + -1, + 545705054, + 683276534, + -1, + -1, + 116009492, + 836851589, + 88004261, + 375529956, + 919705131, + -1, + 745155629, + 314182847, + -1, + 153014851, + -1, + 385436677, + -1, + 296406673, + -1, + 963307845, + 235393897, + -1, + 963313405, + -1, + 326640084, + -1, + -1, + -1, + 903041091, + 679860418, + 42365191, + 368249014, + 962873705, + 205512735, + 775644341, + 91947109, + 197524108, + 126087317, + 230542307, + -1, + -1, + 404376750, + -1, + 724346498, + -1, + 719624347, + 857425377, + 146342994, + -1, + -1, + 485783537, + 480048841, + -1, + 481112796, + -1, + 679109838, + 933439457, + -1, + -1, + 328857026, + 885793613, + 990111031, + 961634321, + -1, + 365880718, + 164693722, + 986968363, + 85388172, + 368507697, + -1, + -1, + -1, + 556558348, + -1, + -1, + 567900592, + 570552674, + -1, + 699902264, + -1, + -1, + 940987833, + 865268835, + 71017487, + 664967672, + 753146889, + 574006789, + -1, + 97801022, + 757721233, + 521698478, + 160691951, + 994049680, + 980239605, + 890124837, + 121273457, + 465417290, + 628181219, + 14891187, + 697639963, + -1, + -1, + 833531679, + 274629548, + -1, + -1, + -1, + 600428456, + 352205103, + 258681344, + 330201684, + 574567963, + -1, + 517917917, + 622886779, + 842078241, + 663416245, + 802704052, + 683842356, + 278474445, + 368877185, + -1, + 921247385, + 943804545, + 530030702, + 253916256, + 33218272, + 743514946, + 815294973, + 51001971, + -1, + 612901626, + 779083589, + -1, + -1, + 124848205, + 931789402, + -1, + 755700186, + 923326417, + 637147552, + 447817879, + 423576049, + 117460991, + 111869928, + 894117413, + -1, + -1, + 660097428, + 663067476, + 735917511, + 375823634, + -1, + -1, + -1, + 107104612, + 567047590, + 502201402, + 627208159, + -1, + -1, + 764294924, + 835902416, + -1, + -1, + -1, + 702884480, + 80541221, + 154527004, + -1, + 469458493, + -1, + -1, + 541933226, + 922778970, + -1, + 839172726, + 204868977, + 642971170, + 930396716, + -1, + 740312203, + 152730474, + -1, + -1, + 320826990, + 666224715, + 372692802, + 642410580, + -1, + -1, + 499433588, + 596149611, + 922581488, + 228947536, + 377082869, + -1, + 777170979, + -1, + -1, + 978221639, + 67970910, + 934816639, + -1, + 98624086, + -1, + 17712764, + 79179149, + -1, + 384236230, + -1, + 689226735, + 488693019, + 408934998, + -1, + -1, + 671997348, + 383015236, + 541429693, + 449947209, + 925545490, + -1, + 398977625, + -1, + -1, + 175056439, + -1, + 851908178, + 552765613, + 367655105, + 273546450, + 291304955, + 822387922, + -1, + -1, + 683748146, + 633361760, + 722261424, + 437003572, + 685285743, + 792012905, + 123891106, + -1, + 603053642, + 98921810, + -1, + -1, + 593441763, + 113882648, + 746977807, + -1, + -1, + 399400469, + 756085948, + 257079160, + 332483458, + -1, + 752635146, + 613424633, + -1, + 997587244, + 724450393, + -1, + -1, + 516021317, + -1, + -1, + -1, + 389716616, + -1, + 137094134, + 826923535, + 36226779, + 401433908, + -1, + 266068591, + 278614337, + -1, + 112973959, + 213613320, + 230142281, + 107726243, + -1, + 509691698, + -1, + -1, + 579371708, + 216239691, + 609501373, + 383426731, + 87728190, + 516599688, + 679250016, + 236733503, + -1, + 617107772, + -1, + 516629025, + 652227804, + 85139378, + 796884416, + 610370920, + 698281771, + -1, + -1, + 25649604, + -1, + -1, + -1, + 23573183, + -1, + -1, + 649421616, + 12172169, + 850759623, + 678545565, + 456660315, + 225368664, + 959587249, + 57301259, + 453722354, + 469924249, + 88080157, + -1, + 908422330, + -1, + 764616280, + -1, + 229081945, + 519525544, + 255676580, + -1, + -1, + -1, + 989625396, + -1, + 722262418, + 798457790, + -1, + 868767496, + 247319685, + -1, + 423998177, + -1, + 170545201, + -1, + 987461660, + -1, + -1, + 702389112, + 818416187, + 292982915, + 850751256, + 456538814, + 75680209, + 14456064, + 525225984, + 767863142, + 182256881, + -1, + 631951066, + 995007589, + 526272317, + -1, + 139846272, + 215289721, + -1, + 436941082, + 351814425, + 403837387, + -1, + 4611842, + 335486640, + 815741538, + 96563587, + 244222329, + -1, + 338542529, + -1, + 655308617, + -1, + -1, + -1, + 158811673, + 175184158, + 436926705, + 891798480, + 644264489, + 507819048, + -1, + 585243724, + 681492249, + 340139522, + 707936842, + 843405302, + 563163843, + 530172664, + -1, + -1, + 318004795, + -1, + 932690291, + -1, + -1, + 349347251, + 496310380, + 73392839, + 63339094, + -1, + 182262014, + -1, + 984758767, + 36281637, + 118015312, + -1, + 909518631, + 724848619, + 322332710, + -1, + 71782835, + 444771587, + 580766193, + 769592313, + 937133117, + 20455110, + 645475435, + -1, + -1, + 211264403, + 80302969, + 882620592, + 63194736, + 174684823, + 271352545, + 760015702, + -1, + 449213136, + -1, + 571190029, + 856818408, + -1, + 593684625, + 785261833, + 580497566, + 804321980, + 695040492, + 14307967, + -1, + 260576148, + 714796779, + 304227357, + -1, + 889069304, + 337020940, + -1, + 729093619, + -1, + -1, + -1, + 511188815, + 131217038, + 755435468, + -1, + 122488851, + -1, + 397939188, + -1, + 243431580, + 221234136, + 859738828, + 425188745, + 216403574, + -1, + 687036298, + -1, + -1, + 677525126, + 676721411, + 500603114, + 244325932, + -1, + 633910917, + 622035114, + 82346628, + -1, + 458565329, + 236471286, + -1, + 452981134, + 334525291, + 169793486, + 754640003, + 611849810, + 310326129, + 394435149, + 939697149, + 9209796, + 784149180, + 898127078, + -1, + 388170825, + 336592126, + -1, + 333001192, + -1, + 832986195, + -1, + 438366364, + 376702261, + 311331694, + 578270932, + -1, + 70600912, + 862372124, + 539140750, + -1, + 691524719, + -1, + -1, + 356945839, + 728563828, + 247862355, + -1, + 671149526, + -1, + 311286541, + 457175094, + 32942865, + -1, + 67433680, + 778740179, + 659301702, + 419490014, + 932858174, + 519622800, + 846691523, + -1, + 216523202, + -1, + 585568582, + 87857123, + 631589510, + 281068764, + 803612832, + 315661379, + 49773439, + 847860142, + -1, + 73124690, + -1, + 790558867, + 631725811, + 687677264, + 556556564, + 173332008, + -1, + -1, + 199987796, + 417085859, + 850635590, + 648669202, + 656408821, + 692864649, + -1, + 247276540, + 257746487, + 644716262, + 830141713, + -1, + -1, + -1, + 623368673, + -1, + 354553940, + 160513125, + -1, + 637007137, + -1, + 156649956, + 496887874, + 639642912, + -1, + -1, + 782488335, + 486539590, + 863581867, + 370381386, + 327626224, + 844242948, + 821689264, + -1, + -1, + -1, + 947640876, + -1, + 362807267, + -1, + -1, + -1, + -1, + 479280832, + 277531158, + -1, + -1, + 440864812, + 342249545, + 784635840, + -1, + 265518834, + 641326216, + -1, + 619322411, + 980823716, + 371114397, + -1, + -1, + -1, + 954640454, + 208238962, + 944707260, + 727199141, + 177008518, + 995751436, + 834129243, + 617908847, + 829119235, + 755088332, + 538267896, + 535669958, + 467258313, + 248739667, + 491436122, + -1, + 154976960, + -1, + 640718283, + -1, + 689416857, + 75350706, + -1, + 756763250, + 997801361, + 319551137, + 3321611, + 765300662, + -1, + -1, + 181790213, + 740432094, + 734779875, + 899954123, + 476323289, + 488023002, + -1, + 810969644, + 403048693, + 23280640, + 2123247, + -1, + -1, + 602948022, + -1, + 304519497, + 410748221, + 397174935, + 620694852, + 419809418, + 15516302, + 182202967, + -1, + -1, + -1, + 538591200, + 509301000, + 53606679, + 412251426, + 650730688, + 533109931, + 4557364, + 521465583, + 772368511, + 994069845, + -1, + 448701861, + 698674551, + 388561474, + -1, + 409681645, + 185924938, + -1, + -1, + 589997262, + -1, + -1, + 47708111, + 545492897, + -1, + 877102537, + 188313597, + 230383922, + -1, + 975866270, + 267193452, + 643715244, + -1, + 663379545, + 849213322, + 677077376, + 471848621, + -1, + -1, + -1, + 815386746, + 633864734, + -1, + 789075448, + 170106069, + 894432766, + 994710319, + -1, + -1, + -1, + -1, + 279158480, + -1, + 265761422, + -1, + -1, + 389171101, + 230665149, + 774359204, + 172377741, + -1, + 197247780, + 865265468, + -1, + 924117512, + -1, + 918038098, + -1, + 503321425, + 734795291, + 334973129, + 92862853, + 493763851, + 619780291, + 542648480, + -1, + 744882992, + -1, + 126517063, + 443079986, + -1, + -1, + 862167020, + -1, + -1, + 841872689, + 571511042, + 31386343, + 633079126, + 97897057, + -1, + 473248794, + 672106410, + 859300486, + 261517471, + -1, + -1, + 877022677, + 949758943, + 55342262, + 540984436, + -1, + -1, + 872853550, + 61680332, + 826680254, + -1, + 90744804, + -1, + 842721554, + -1, + -1, + 142687657, + -1, + 367446378, + 744457518, + 518051995, + -1, + 459875590, + 436768005, + 759520090, + 26151045, + -1, + -1, + 59566617, + 446470769, + 768415730, + -1, + 149697519, + 746669386, + 54401041, + -1, + 294840403, + 247448210, + -1, + -1, + 417674456, + 25117021, + 725956475, + -1, + -1, + 322539694, + 95091791, + 216034318, + 171018490, + 80669238, + 754017004, + 941277055, + 955799866, + 167485946, + 12457294, + 868549173, + -1, + -1, + -1, + 294978349, + -1, + 858390017, + -1, + -1, + -1, + 367367169, + 239906356, + 520134782, + -1, + -1, + 549600986, + 197784261, + -1, + -1, + -1, + 808336190, + -1, + 930875847, + 151264819, + 225570574, + 812502260, + -1, + -1, + 18407657, + 82029284, + -1, + -1, + 606966895, + 805247443, + 250594806, + -1, + -1, + -1, + 892155845, + -1, + 728346152, + -1, + 581291048, + 454943591, + 468608111, + 318092332, + 977472883, + 589031968, + 442880948, + 750197449, + 528383355, + -1, + -1, + -1, + 314922303, + -1, + 833778307, + 463423434, + 15050087, + 315528615, + 862319791, + 298537643, + 988930883, + 75841831, + -1, + 53362440, + -1, + 586353949, + 345729942, + -1, + 884167318, + 259713901, + 140364123, + -1, + 917147273, + 458918052, + 248725607, + -1, + 814342725, + 135446359, + -1, + 253356860, + 618325108, + 818133171, + 655226184, + -1, + 962592249, + -1, + 601012146, + 976775783, + 263887998, + 558185610, + 450847078, + -1, + 537328935, + 403861226, + 330590626, + 100079484, + 314745926, + -1, + 152569195, + 998053522, + 951223921, + 146177647, + 77270062, + 457668687, + -1, + 134766328, + 564447631, + -1, + -1, + 744638070, + 736805853, + -1, + 618543335, + 709110928, + 154662562, + 918362404, + 636293173, + 727300224, + -1, + 796158371, + 729428342, + -1, + 931316997, + 936081641, + 914027856, + 191909426, + 993944531, + 361012139, + 451769326, + 300163888, + 97355528, + -1, + 134942487, + -1, + -1, + 515324860, + 47552150, + 924677187, + 214268954, + 533680397, + 281963101, + -1, + 46151821, + 236702801, + 890875958, + 888037387, + 947437250, + 861743024, + 68455748, + -1, + 605067233, + 453933442, + 462813259, + 249314300, + 913687486, + 421424911, + 635350557, + 470055000, + 851871256, + 601759398, + 623845542, + 404285353, + 122332224, + 761263743, + 996875454, + -1, + -1, + 222480919, + -1, + 22946923, + 881803577, + 828878566, + 663268953, + 979086128, + 554978023, + 302146855, + 261094996, + 365384104, + -1, + 946835673, + 825693305, + -1, + 805592917, + 301419010, + -1, + 753335491, + 873767945, + 165378633, + 952053912, + 816042797, + -1, + 110751180, + 460210831, + 271597911, + 983514445, + 17141610, + 395048052, + 355443975, + -1, + 25308464, + 248289353, + 290020539, + -1, + 999565963, + -1, + 376892599, + 291867807, + 64756057, + 214590784, + 954192264, + -1, + 152034807, + 97853940, + -1, + -1, + 570687057, + 416546744, + 527572400, + -1, + 344667942, + 282318634, + -1, + -1, + 874145223, + 49617081, + 61594874, + 109542174, + 51494536, + 872277721, + 291123617, + -1, + -1, + 908946944, + -1, + -1, + -1, + 392114614, + 317718618, + 773260812, + 893413282, + 647091526, + 99104495, + 316867587, + 827223195, + 994606212, + -1, + -1, + 994410540, + 57773336, + 12763158, + 834154972, + -1, + 748698058, + 942785744, + -1, + 504655030, + -1, + -1, + -1, + 10964309, + -1, + 719534583, + 40478971, + -1, + 481818957, + -1, + 951135298, + 162675496, + 727706665, + -1, + -1, + -1, + 453782939, + 731747508, + -1, + 912481386, + 538719684, + 27934507, + -1, + 796946880, + 737464921, + -1, + 773171919, + 7407913, + 570584055, + 799351998, + 106785605, + 846682595, + 60900065, + 907073445, + -1, + 811595953, + -1, + -1, + 587492015, + 284816917, + 439844513, + 933108842, + 577638867, + 721297595, + -1, + 336444028, + 455308092, + 841279570, + 710943609, + 656905722, + -1, + 490690459, + 430613636, + -1, + -1, + 779829612, + 270966345, + 100020071, + -1, + 336929717, + 596983196, + 375386599, + 522292984, + -1, + 444086111, + 377864667, + 235524776, + -1, + -1, + 168328048, + 984610459, + 398667373, + -1, + 107492030, + 485292629, + 256817219, + 773570702, + -1, + 700812865, + 879394718, + -1, + 676467743, + 882632545, + 986168989, + 731844987, + 779501690, + 890917803, + 499065956, + 861726449, + -1, + 910580433, + 34308501, + 520918541, + -1, + 173272545, + 188493120, + 561274351, + 238350515, + 216668918, + -1, + -1, + 121742705, + 55815951, + 576695350, + 511343662, + 276801457, + 83688849, + 353396963, + -1, + 580759614, + 345307959, + 276127987, + -1, + 131360964, + 240374728, + -1, + 242083848, + 872317546, + -1, + -1, + 346366498, + 677851358, + 885607441, + 943334200, + -1, + -1, + 4709635, + 159780120, + -1, + 173482343, + 10770236, + 183246987, + 345952509, + 715339399, + 330793761, + 493068967, + 892780438, + 238875547, + -1, + -1, + 22390759, + 429821210, + 523191128, + 82902061, + 373430303, + 696933528, + 525401908, + -1, + 546504104, + 836620658, + 55945968, + -1, + 908498053, + -1, + 463865980, + 866844831, + 261116426, + 723214157, + -1, + 989878348, + -1, + 521007255, + 638252533, + 728609084, + 343806703, + 64617408, + -1, + -1, + 585433275, + 79433109, + -1, + 804492541, + -1, + 110720502, + 531557255, + -1, + 292127542, + 479866396, + -1, + 645239147, + 108485683, + 989742706, + 549318114, + 726947866, + 345993689, + 502051456, + 130057562, + 10661639, + 829741632, + 133518033, + -1, + 683453688, + -1, + -1, + 970055437, + 8086686, + 207034423, + 851706216, + -1, + 680752266, + 305045842, + -1, + -1, + -1, + -1, + 482818401, + 385781463, + -1, + 535290333, + -1, + 482024668, + 137347886, + 568360995, + -1, + 956352778, + 233064974, + 404573948, + 489022650, + 835395686, + 59773263, + -1, + 484635044, + 306026046, + 165430867, + 671429013, + 281730886, + 444380675, + -1, + 968227637, + 739975779, + 172632925, + 51777478, + 970267355, + -1, + 426563970, + -1, + 429069824, + 304978541, + -1, + -1, + 311325523, + 558927848, + 323926723, + -1, + 930055869, + 630499346, + -1, + 600095710, + -1, + 833923921, + 383874847, + -1, + 900599797, + 237959911, + -1, + -1, + -1, + 44801076, + 237342686, + 1350188, + -1, + 490595777, + 619520682, + 929447443, + 442831874, + -1, + 728872538, + -1, + 412607908, + 152076032, + -1, + 190667263, + -1, + -1, + 739218676, + 241598527, + -1, + 580700805, + 692394792, + 921695376, + 437007672, + 513835438, + 65918010, + 779905584, + -1, + 25603377, + -1, + 913092646, + 787997272, + 797201536, + 65159138, + 48399924, + 385185388, + 76428922, + 587954399, + 578606377, + 566880797, + 408292412, + -1, + 414926263, + -1, + 903375188, + -1, + 159160831, + 615499718, + 360066172, + 775612384, + 41870886, + 290704712, + 177012793, + -1, + 188656553, + 195440318, + -1, + 237295743, + 776247923, + 303945329, + 695597381, + -1, + 120521674, + -1, + 531079489, + 608072419, + -1, + 276033173, + 894322113, + -1, + 735530249, + 498090838, + 553325077, + 846401860, + 360466008, + 373527491, + -1, + -1, + -1, + 281710434, + -1, + -1, + -1, + -1, + 837836292, + -1, + 24322233, + -1, + 192099605, + 571721246, + -1, + 500144586, + 891027501, + -1, + 134395100, + 164795552, + 93950685, + 561432941, + -1, + 280591968, + -1, + 685559181, + 809980302, + 105588259, + -1, + 788456966, + 428754517, + 14996032, + 754676813, + 787343872, + 125096580, + 31009677, + 72469001, + 34813022, + 739961935, + -1, + 440046726, + 33755911, + -1, + -1, + 469814581, + -1, + 563050342, + 879401630, + 469227963, + 681676985, + 987801692, + 658906901, + -1, + -1, + 5235331, + -1, + -1, + 996610262, + 200247476, + 416399015, + 133681682, + -1, + 908870731, + 916445047, + 12712240, + 34747994, + 264391082, + 358118030, + 227020413, + 574858693, + 886237569, + 806204144, + 209202052, + -1, + -1, + 333291503, + 795229419, + 168748860, + 906178377, + -1, + -1, + 866327286, + 784478992, + 270171886, + 211927952, + 57760478, + -1, + -1, + 74852002, + 75843723, + 990796815, + -1, + -1, + 619961128, + 842597493, + 868173922, + 823464159, + 900773547, + 287684193, + -1, + 466532479, + -1, + 397303322, + 662595440, + 236173222, + 369303530, + 849738425, + -1, + 104517266, + -1, + -1, + 919712993, + -1, + 720746007, + 957761207, + 436765090, + -1, + 161333027, + 98489965, + 591817499, + 892453436, + 68796369, + 491603518, + 453746006, + 180319838, + 532122374, + 262738717, + 765368084, + 633384828, + -1, + -1, + 637873053, + 499459555, + 535822388, + 628411405, + -1, + 890973312, + 567371096, + -1, + 592398302, + 493270609, + 66727043, + 929392244, + 272642138, + -1, + 971524266, + 386297419, + 608154789, + 79707656, + 194139854, + 951807737, + 114019009, + -1, + 89207355, + 472321428, + 493844263, + -1, + -1, + 540258585, + 548621679, + 392133737, + -1, + -1, + 454310317, + 347848155, + 627434947, + 305353476, + 472104587, + -1, + 54960121, + 778360240, + 445050214, + -1, + -1, + 55149281, + 779622464, + 384014071, + -1, + 873236811, + 119496169, + 603999505, + 183529843, + 917250668, + 232818996, + -1, + -1, + 833187916, + -1, + 852390125, + 217737017, + 511375612, + 286580802, + 728472159, + 436199132, + -1, + 493081652, + 40012216, + -1, + 563011677, + -1, + 641936327, + -1, + 116228674, + -1, + -1, + 98020172, + -1, + 580697479, + 920684796, + 424627527, + -1, + 743122785, + 247855409, + 467293552, + 476009066, + 717827301, + -1, + 146427345, + 88570521, + 241975948, + 924872219, + 440904127, + -1, + -1, + 629678917, + 334793606, + -1, + 604203633, + 527638013, + 66818814, + 486295315, + 236265819, + 153958881, + 441425476, + -1, + -1, + 298322122, + -1, + 636419618, + 703576893, + -1, + 577105480, + 391925995, + -1, + 370351348, + -1, + 200393419, + 514403385, + 238543446, + 262262679, + 427708271, + 191176407, + -1, + 869168399, + 202131597, + 756914271, + -1, + -1, + 690590986, + -1, + 711927433, + -1, + 507958267, + -1, + 811591466, + 744603502, + -1, + 36485222, + 391626860, + -1, + 745870923, + 445815478, + 431609735, + 870713544, + -1, + -1, + -1, + 788476853, + 887754973, + 129332546, + 780628836, + 745989909, + 489339238, + -1, + 606045884, + -1, + -1, + 778980239, + 781275648, + 865157419, + -1, + -1, + -1, + -1, + 587535483, + -1, + 207563132, + 550822524, + -1, + 143049905, + -1, + -1, + 549967947, + 243286365, + -1, + 831042796, + 370039116, + -1, + -1, + 611559059, + 362379433, + 154849029, + 445916066, + 720321422, + 822230849, + 300012632, + 146997396, + -1, + 710611634, + 524665313, + 219060810, + 670712597, + 446167387, + -1, + 849007408, + 414747601, + -1, + 306683161, + 554951691, + 150012265, + -1, + -1, + 793592464, + 204511275, + 739424666, + 365900259, + 459846496, + -1, + 856858298, + 741206154, + 104071288, + 922478127, + -1, + 194345033, + 314942324, + 367273208, + 67188936, + -1, + -1, + -1, + 385153740, + 68166714, + 638118492, + 500446367, + 239719820, + 693137134, + -1, + -1, + 247306227, + 328738109, + 679201685, + 383869947, + 29452596, + 784407167, + -1, + 611956287, + 87452930, + 500375435, + 305666199, + 985164580, + 706913336, + 434628864, + 741349419, + 987358187, + 964083483, + 608637097, + 925436197, + 114045125, + -1, + 272500225, + 363796325, + 795768303, + -1, + -1, + 768823390, + 170629410, + 364328497, + 336047026, + -1, + 62565866, + -1, + -1, + -1, + 339697736, + 17317500, + 48884160, + 196497485, + 145630534, + -1, + 767601234, + 756008615, + 212419063, + 92811389, + 152885985, + 376617516, + 890575156, + -1, + -1, + 609525317, + 52560071, + 228062657, + -1, + 772975850, + 629934198, + 555389267, + 187372084, + -1, + -1, + 702055649, + 267564416, + -1, + 163233622, + -1, + -1, + -1, + 116578336, + 127554182, + -1, + 550509270, + 534940211, + 644155288, + 877259843, + 459496563, + 451219243, + 652978237, + 483476981, + 974508446, + 275611273, + 762283288, + 42528791, + 768692438, + -1, + 783190216, + 665503866, + -1, + 280174510, + 128364134, + 65244677, + 143580549, + 994334380, + -1, + -1, + -1, + -1, + 293005813, + 148411318, + 563741811, + 565544475, + 191172092, + 492470155, + 965560289, + 937309929, + 294967589, + 659209260, + 383712692, + 155173700, + -1, + 873193417, + 688673413, + 468818591, + -1, + -1, + 41218657, + -1, + 101916503, + 709881511, + 980351356, + 840858804, + 393775162, + 656572002, + 27924567, + 93278492, + 282919086, + 652976318, + 512210919, + 350742650, + 754208232, + 743764913, + 749741804, + 587447148, + 736942834, + 914162360, + -1, + -1, + 925980838, + -1, + 823529826, + 748693321, + 585667324, + -1, + -1, + 439136195, + 478664095, + 747835139, + 966206388, + 953622401, + -1, + 892129344, + 242272991, + -1, + 399511807, + 894026287, + 473893862, + 448479303, + -1, + 474741829, + 872022335, + 166169600, + 444499003, + -1, + -1, + 686960303, + 693599782, + -1, + 385531194, + 966730062, + -1, + 460958745, + -1, + 446982973, + 860091995, + 190985290, + 570142436, + 546668609, + 708739025, + 866417783, + 827821131, + 830508031, + -1, + 521438292, + 638419852, + 479011547, + 301480053, + 375573519, + 184994067, + 931167599, + 758391447, + -1, + 698916446, + 506291093, + -1, + 195045977, + 577058533, + 590525707, + -1, + 94630658, + 398906062, + -1, + 558311681, + 430521199, + 663012322, + 807660761, + -1, + 113844587, + -1, + 701755550, + -1, + 755928601, + 627010784, + 744145381, + 413732568, + 495795685, + -1, + 365878107, + -1, + -1, + 86631895, + 141775798, + 162947928, + -1, + 792884665, + 886035759, + 825218756, + -1, + 73356971, + 344202016, + 815782824, + 486764657, + 376888412, + 82165639, + -1, + 494778596, + -1, + 241331344, + 248738563, + 928207762, + -1, + 785283143, + -1, + -1, + -1, + -1, + 707738243, + -1, + 803381220, + 497293336, + 431127722, + 790983461, + -1, + 518366723, + 392661875, + 432985778, + 998796955, + 876612304, + -1, + -1, + -1, + -1, + 237907407, + 934379286, + 917655008, + -1, + -1, + 827152874, + -1, + -1, + 774144121, + 31212169, + 776267430, + 397303871, + 738031421, + 980072428, + 42663661, + -1, + 798081393, + 435750208, + 78504722, + -1, + -1, + 914541587, + -1, + -1, + 681998292, + 228162811, + 905207599, + 740788600, + -1, + -1, + -1, + 121730455, + 162229669, + 761292244, + 917668007, + 296782343, + -1, + 565181561, + 37382785, + 782561415, + 130596174, + -1, + 777028748, + 8785570, + 720108195, + -1, + 432265848, + 733183355, + 894247601, + -1, + 211495045, + 937034514, + 163158836, + 728013068, + 332697411, + 82447, + 240834770, + 268079277, + 534687560, + 408244723, + 866564544, + 8139356, + 262293587, + 139418881, + -1, + 512213758, + -1, + -1, + -1, + 225962474, + 874216235, + -1, + 303442330, + 155192644, + 41468702, + 814527770, + 632725297, + -1, + 803509487, + -1, + 925290454, + -1, + 155742361, + -1, + -1, + -1, + 396704414, + 247406025, + -1, + 230644228, + 192320217, + 115677433, + 591066582, + 746845073, + 748800360, + 36017300, + -1, + 785378009, + 425275210, + 225233942, + -1, + 352620495, + 384112707, + 369802636, + 159961509, + 401920880, + -1, + 457623007, + 672120991, + 228165794, + 825268664, + 760356405, + 390297257, + 728070939, + 511183257, + 127394292, + -1, + 130316919, + -1, + -1, + 946597850, + 65618913, + 798078790, + 69285198, + 10970648, + 303137437, + 786494628, + 319957539, + 352049252, + 508039109, + 521780007, + 618934746, + -1, + 457287408, + -1, + 489974759, + -1, + 603905543, + 47959403, + -1, + 257314475, + 452623731, + -1, + -1, + 823034670, + 589750323, + -1, + 511779811, + 482040686, + 269258712, + 10575276, + 246882169, + 276983272, + 667762088, + -1, + -1, + 408308377, + -1, + -1, + 717274666, + 429101566, + 901308288, + 703502594, + -1, + -1, + -1, + -1, + 958679698, + 120720218, + -1, + 966752811, + 809927210, + 536286756, + 38422702, + -1, + 362705886, + 207241730, + -1, + 851506202, + -1, + 965110334, + -1, + 944401968, + -1, + 932452726, + 276710776, + 598874095, + 334987721, + -1, + -1, + -1, + 637706392, + 765065019, + -1, + 53153520, + 377229185, + 275634994, + 234525115, + 656203072, + -1, + 68585644, + 942780968, + -1, + 514694963, + 434887713, + 812438988, + 502628648, + 586158564, + -1, + -1, + 465808217, + 809581364, + 991691439, + 700307708, + 940777234, + -1, + 374831129, + 916052624, + -1, + 132000105, + 807697917, + 378554782, + 199428318, + 423263039, + 632329134, + 646876804, + -1, + -1, + 445471267, + 885767253, + 245081460, + 460131471, + 735849950, + 920280068, + 845526217, + 841276386, + 40466814, + -1, + -1, + 194985726, + -1, + -1, + -1, + 834706626, + 275511319, + 613103715, + 926822683, + 747169488, + 174614916, + 298222886, + 115275372, + 289067587, + -1, + 150308347, + 940100263, + 31569784, + 566656317, + -1, + 706219759, + 760125171, + 735556105, + 67749933, + 409214671, + 159127094, + 431466543, + -1, + 943973752, + 801299923, + 849953061, + -1, + 520028869, + 512482471, + 41481673, + 813955490, + 933644291, + 363443462, + 342391891, + 480071434, + 379403471, + -1, + 638313773, + -1, + 67047557, + 493595707, + 356979498, + -1, + -1, + -1, + 335087613, + -1, + -1, + 312184081, + -1, + 39455067, + 870993914, + 538605807, + 84216299, + 382227176, + 134889750, + -1, + 332204001, + 42220433, + -1, + -1, + 704256216, + -1, + 989455869, + 797940065, + 196728344, + 6945564, + 304023142, + 252856617, + -1, + 271115712, + 216251305, + 854233123, + -1, + -1, + 627056244, + 789940329, + -1, + 825259613, + 167083771, + 96152510, + 551537678, + 209120532, + 639616364, + -1, + -1, + -1, + 276719849, + 762847784, + 824485143, + 177280096, + 228229841, + 861047536, + 457474341, + 198467943, + 785112480, + -1, + -1, + 529658818, + -1, + -1, + 388612654, + 713089794, + 646978643, + -1, + -1, + -1, + 771560940, + 444202755, + -1, + -1, + 592869008, + 842308406, + 76408191, + 173550653, + -1, + 437069612, + -1, + -1, + 337107281, + 90341189, + 616609700, + 159436405, + 79795046, + 766681283, + -1, + 38380725, + -1, + 253922628, + 178636022, + 380296531, + 585253753, + 613565664, + -1, + 488585291, + 403094607, + 745716247, + 431492324, + 708173264, + 796298761, + 510093918, + 333514053, + 724256010, + 127376607, + 644751686, + 887789138, + -1, + -1, + -1, + 937789424, + -1, + -1, + -1, + 653021222, + -1, + 663834707, + 575414336, + 680939771, + 583327103, + -1, + 22972268, + 99390153, + 728281234, + -1, + -1, + -1, + 757660447, + 832521939, + 224109195, + 624313085, + 569661506, + 756252828, + 721943697, + -1, + 80274144, + -1, + 3776995, + 50148443, + 636070055, + -1, + 754031842, + -1, + 406299026, + 415327059, + 219267400, + 619506455, + 903859876, + 534354403, + 288519820, + 877522701, + -1, + 139492287, + 202782703, + 870165120, + 564350716, + 794329718, + 300307744, + 170460282, + 613550521, + -1, + -1, + -1, + 849946416, + -1, + -1, + 590974270, + 399268523, + 807635184, + 831952009, + 995169826, + 834070911, + -1, + 456483842, + 185054201, + 200488153, + 641751675, + 895668878, + 378519940, + 432209226, + -1, + 215226809, + 738931766, + 235189928, + -1, + 610350592, + 126385806, + 681052963, + 691490252, + 579626699, + 734152779, + 843173366, + 434935838, + 796627125, + 300259182, + 386147546, + -1, + -1, + 144996818, + 279006585, + -1, + 939341795, + 206856595, + 792398498, + -1, + 244394154, + 524236973, + 848940031, + 433269087, + 865020865, + 864279505, + 369433793, + -1, + 100413412, + -1, + -1, + 339040289, + 849340903, + 907757636, + -1, + 538733478, + 343267242, + 121616523, + 660945633, + -1, + 462710990, + 823883368, + 270993721, + 117282739, + -1, + -1, + 701651167, + -1, + 926210195, + 165362454, + 765656849, + 493753421, + 423604551, + 36504985, + 514278043, + -1, + -1, + 869942142, + -1, + 244981825, + -1, + -1, + -1, + 48228342, + -1, + 29699153, + 762797750, + 306369347, + -1, + -1, + 405931655, + 83124993, + 191788060, + 682859958, + 207597867, + 857945277, + 855430656, + 218184718, + -1, + 306698558, + -1, + 699965779, + 927173007, + 432264533, + 373504534, + -1, + 167760645, + 213639141, + 761695559, + -1, + 608462829, + 135911176, + 193766573, + 625796384, + -1, + 602484564, + 190709394, + 661472191, + 240060240, + -1, + -1, + -1, + -1, + 947015008, + 369859701, + -1, + 534064841, + -1, + 97341751, + -1, + 860100643, + 144644282, + 557882747, + 939599863, + 540886329, + 60111316, + 696380871, + 757030594, + -1, + 261410203, + -1, + 998795261, + 408932031, + -1, + 545217103, + -1, + 283606676, + 6815740, + 143970772, + 226367507, + -1, + -1, + -1, + -1, + -1, + -1, + 334648564, + 93126893, + 865340533, + 735405168, + 888795545, + 101988245, + 412081571, + -1, + 570162490, + 997656292, + 630988098, + 783472810, + 214658568, + 371889591, + 60697790, + -1, + 235088070, + 297130165, + 503681245, + 572446153, + -1, + 873153274, + -1, + 998242384, + -1, + -1, + -1, + 54068490, + 649517174, + 320947753, + -1, + -1, + 116269863, + 145612566, + 475431766, + 997078755, + 691080490, + 350880409, + 236367267, + -1, + 144520701, + 295911206, + 736787952, + -1, + 669379580, + 652822949, + 692254288, + 280637546, + 647576478, + 221534078, + -1, + -1, + 998982143, + -1, + 271034622, + 563804075, + 921056242, + 555502215, + -1, + 845337790, + -1, + 867810413, + 831666291, + -1, + 601557902, + 662165092, + 46704287, + -1, + 116543586, + 970872748, + 517622583, + -1, + -1, + 782656541, + 866692625, + 261052475, + 69732933, + -1, + 569728901, + 160950799, + 458043733, + 647852179, + -1, + 89475258, + 736245808, + -1, + 227430525, + 378406127, + 49548298, + 638444882, + -1, + 921367164, + 548550238, + -1, + -1, + 58590671, + 66602958, + 770097683, + 393287794, + 679919399, + -1, + -1, + 379821661, + 688726186, + 484673867, + 85677975, + -1, + -1, + 800588506, + 508290118, + 889359028, + -1, + -1, + 193210148, + 638258145, + -1, + -1, + -1, + -1, + 985617948, + -1, + 695879868, + -1, + 869023314, + 320912674, + 94383639, + 56566418, + 418628728, + -1, + 963982788, + 791710352, + 925089746, + 579038837, + 7220686, + 456947044, + 735962800, + 760435377, + 21640688, + 131301211, + 220775763, + 660025932, + -1, + -1, + 197609079, + -1, + -1, + 745123201, + -1, + 324677214, + 826411172, + 633111808, + 349994436, + 66665460, + 115527942, + 458480181, + 742037568, + 14717909, + 9709826, + 584226831, + -1, + 202940689, + -1, + 817438042, + 647712465, + -1, + 833025250, + -1, + -1, + 188711580, + 571562288, + -1, + -1, + 412767139, + 709850763, + 380896721, + -1, + 611131725, + 384968827, + -1, + 643969147, + 132734681, + 763081930, + 177070730, + 989893363, + 477988544, + 711195338, + -1, + 550519133, + 168280065, + -1, + -1, + -1, + 974701887, + -1, + 708465570, + 846416521, + -1, + 312966616, + -1, + -1, + 765148495, + -1, + -1, + -1, + -1, + -1, + 56309545, + -1, + 221658390, + -1, + -1, + 891477724, + 311035390, + -1, + 41872625, + 551706421, + 762757884, + -1, + 818365160, + 145619742, + 928610486, + 279298344, + 488447918, + -1, + -1, + -1, + 688773795, + 437390820, + -1, + 358738196, + 366313907, + -1, + -1, + 472716101, + 799665859, + 615430339, + 948871883, + -1, + -1, + -1, + 501674461, + -1, + -1, + 92896681, + -1, + -1, + 481722798, + 483087166, + 941449410, + -1, + 199560522, + 685304146, + 169201739, + 505774186, + 733405119, + -1, + 17174157, + -1, + 216729694, + -1, + -1, + 240534254, + -1, + 849767467, + -1, + -1, + 671139920, + -1, + 44618422, + 160749082, + 287087351, + 469975346, + 542089074, + -1, + -1, + 744442101, + -1, + 712142611, + -1, + 491337600, + 229189248, + -1, + 564771998, + 919770568, + 100501730, + -1, + 444278216, + 490756432, + 905321787, + 531860649, + -1, + -1, + -1, + 119376345, + -1, + -1, + 708555744, + -1, + -1, + 124916554, + 588340040, + 981898609, + 170892092, + 385145148, + -1, + -1, + 671510894, + 972865848, + 296303278, + 824905238, + 416852218, + -1, + 353376693, + 810171326, + 717836980, + -1, + -1, + -1, + -1, + -1, + 540441927, + -1, + 980044108, + -1, + 934274104, + 748217788, + -1, + -1, + 803638217, + -1, + -1, + -1, + -1, + -1, + 473899852, + 600387776, + 116823314, + 306022404, + 447788306, + 138335106, + -1, + 267106366, + 789172613, + 376737098, + -1, + 163225554, + 49988814, + 93476972, + 484556591, + 705183550, + 408558886, + 935714633, + -1, + -1, + 559612261, + 827543033, + 733953001, + 156304584, + 373910335, + 422270341, + 979791620, + 579221408, + -1, + 699345523, + 327315999, + 685470750, + 702105904, + -1, + 246289999, + -1, + 110356668, + 714822113, + 223513832, + -1, + -1, + 279328266, + 749320707, + 375025252, + 601050769, + 257190434, + 493430364, + 261158126, + 582355221, + 574520383, + -1, + 616765484, + 871516983, + 543691410, + 421490769, + 33156207, + 599197498, + -1, + 730409020, + 429258783, + 84076024, + 404136958, + 956317388, + 160243222, + -1, + 302384310, + 236053378, + 494939356, + 115960419, + 182135078, + 273754599, + -1, + 714515745, + 203117314, + 988791938, + 180661128, + 68817818, + 839612421, + 753166633, + -1, + 342628254, + -1, + -1, + 808741131, + -1, + 127560706, + -1, + -1, + 69043285, + -1, + 814004207, + 4600833, + 936601231, + -1, + -1, + -1, + -1, + 877409309, + -1, + 881293774, + -1, + 472436501, + 930162925, + 563712938, + 825920370, + 151713117, + -1, + 3768183, + -1, + 677176061, + 965066418, + -1, + -1, + 913025906, + 55059246, + 291622212, + -1, + -1, + 362823583, + 86756885, + -1, + 80541953, + -1, + 823750137, + -1, + 826344793, + -1, + 971996185, + 845044863, + 741774482, + 864956370, + 666217321, + -1, + 845470226, + 807831421, + 742042328, + -1, + 405318025, + 798255004, + 464815528, + 572744520, + 726076994, + -1, + 2203921, + 653389486, + 751253918, + -1, + -1, + 836777418, + 241777034, + 588009077, + 93456824, + -1, + -1, + 738176975, + -1, + 404228564, + 81704687, + -1, + 238077069, + 454723932, + 242663277, + 856190999, + -1, + 466795459, + 36997174, + 795821171, + 899688283, + 11546266, + 850557541, + 315577809, + 70969731, + 759985042, + 800580763, + 307017764, + 573912350, + 755528897, + 555760264, + 996268985, + 436805697, + 213532108, + 395181152, + 649525838, + 309430306, + 734831408, + 514948046, + 13933074, + 774444537, + 956951069, + -1, + 23981680, + -1, + 573479650, + 822837059, + -1, + 936992509, + 647190882, + 97051627, + 865619685, + 636183747, + 473074341, + 756038973, + 678371051, + 518992058, + 601195636, + -1, + -1, + 796960242, + -1, + 580238245, + 211274927, + 833371384, + 155655453, + 476578331, + -1, + 73194066, + 753073760, + 518429102, + 669335094, + -1, + 484528106, + 426691845, + 146377316, + 133944524, + -1, + 845106290, + 363755358, + 252420621, + 59815321, + 782115074, + 754284510, + 588078530, + 729677883, + 210694107, + 681091602, + 88059513, + 328704106, + 101666027, + 541896509, + 743967649, + -1, + -1, + 932914200, + -1, + -1, + 487002082, + 672209985, + 240509622, + 214516536, + 329106748, + 872749613, + 534266002, + 786933802, + 302641095, + 137537358, + 455643553, + 629453718, + 322213649, + 335617890, + 992719751, + -1, + 821689535, + -1, + 460500360, + 103308804, + 777555591, + 147533283, + -1, + 847229912, + 91268790, + 168516063, + -1, + -1, + 924021786, + 94220262, + 173243774, + 837728099, + 392386583, + -1, + 309425047, + -1, + 589960261, + 971046170, + -1, + 317240853, + -1, + -1, + 451136045, + 164297880, + 645131680, + -1, + 688546688, + 182280214, + 57962915, + 293103429, + 818145564, + 552396553, + -1, + 299404019, + 317606585, + -1, + 853657566, + -1, + 37973471, + 518621243, + -1, + -1, + 937901513, + 356132883, + 754650350, + 747061789, + 513384414, + -1, + 381451157, + 725993666, + 520326341, + 146588513, + 12739603, + 498576216, + 436793765, + 731093045, + 201677531, + 524314425, + 941557313, + 223665906, + 822742336, + 799630229, + 576179751, + -1, + -1, + 976815017, + 920530630, + -1, + 141920336, + 815562973, + 243399023, + 439622406, + 403950113, + 709099879, + -1, + -1, + -1, + -1, + 617724714, + -1, + 806363612, + -1, + 608684068, + -1, + 282617448, + 412124108, + -1, + 466772064, + 923674018, + 109239731, + -1, + 773994690, + 343975544, + 267620859, + 654935946, + 557959339, + 898448332, + 778299985, + -1, + 714973970, + 621455803, + -1, + 891978762, + 24244800, + -1, + 677696023, + 917455067, + 76432141, + -1, + -1, + 551747731, + -1, + -1, + 988932998, + 78400394, + -1, + -1, + -1, + 987503683, + 588860292, + 220007021, + 442376238, + -1, + -1, + 201039072, + 598520134, + 222651820, + -1, + 894802320, + 968750063, + 363912386, + 368546439, + -1, + 951079046, + 95940508, + 739345519, + 768432361, + 661957089, + 683809779, + 118941906, + 59646321, + 309865440, + 659023493, + 171700102, + 812033347, + 14537954, + 32931626, + -1, + 593854480, + -1, + 466754490, + 885236331, + -1, + 442408879, + 934728426, + -1, + -1, + 195216323, + 76335315, + 12554361, + 841735801, + -1, + 486092923, + 657932140, + -1, + -1, + -1, + -1, + 112710049, + 395976297, + -1, + -1, + 939372254, + 355489326, + 17999204, + 902593483, + 447213079, + 723756659, + 841357057, + 383518107, + 51069779, + 864301877, + 19296799, + 387650065, + -1, + -1, + 232199950, + 696137887, + 387159099, + 557886455, + 558175365, + 453341421, + -1, + 613256718, + 48916209, + -1, + 542950726, + 322251571, + -1, + -1, + 494595693, + 790708445, + 251113653, + 600149292, + 675771249, + -1, + 451051777, + 576597102, + 241946525, + 137286027, + 744163871, + 25097366, + 944103552, + 756853837, + 441958741, + 495606599, + -1, + 820942990, + -1, + -1, + 611373271, + 104723693, + -1, + -1, + -1, + 280572759, + 996953236, + -1, + 16790701, + 637609161, + 426372439, + 599544336, + -1, + 568717411, + 477579483, + 713816688, + 97764111, + 559976667, + 868676735, + 446091973, + 269528044, + 95602577, + 195714326, + 80760500, + 258879599, + -1, + 401047965, + -1, + -1, + 591069874, + 643174303, + 484296474, + 532796462, + 578693958, + -1, + -1, + 607540560, + -1, + 967590767, + 928550206, + -1, + 442963629, + -1, + -1, + -1, + 432828404, + 117403742, + -1, + -1, + -1, + 526644319, + -1, + 276050768, + -1, + 177342285, + 584958628, + -1, + 225610127, + -1, + 280675384, + -1, + 526326342, + 368609974, + 20571532, + 237529427, + 516441417, + 232990198, + 472394474, + -1, + 736241949, + -1, + -1, + 420705835, + 576422245, + 906370519, + 830971975, + 794533295, + 916714987, + -1, + 11789418, + 478986519, + 761598002, + 556247750, + 463451300, + 550194171, + 76433929, + 400802884, + 127075995, + -1, + 620822954, + 74404707, + -1, + -1, + 649042947, + 380725177, + -1, + 185329365, + 141865088, + 366274670, + 448597552, + 217062032, + 852051312, + 191713522, + 745902793, + 611339196, + 977204220, + -1, + -1, + 818664235, + 313708431, + 819321076, + 202656402, + -1, + -1, + 707589966, + -1, + 102345053, + -1, + -1, + 743035174, + -1, + 833832976, + 947581473, + 585633773, + -1, + 861874396, + 969562686, + 493778318, + -1, + 835418692, + -1, + 20489963, + 693915184, + 465979007, + -1, + 486332522, + 479091690, + -1, + 28601319, + 446854120, + 619066509, + -1, + -1, + 328783820, + 65884710, + -1, + 910973530, + 8985090, + 462273784, + -1, + 235104691, + 623534378, + 509049486, + 243698256, + 592579091, + -1, + 162903809, + -1, + -1, + 737650052, + -1, + 507390177, + 228285538, + -1, + 40949679, + -1, + 743343490, + 357658484, + 742023256, + 925922665, + 531536789, + 46701116, + 759687064, + 695453435, + 75486521, + 472603436, + 289318036, + -1, + 323116614, + 946035704, + 775417087, + -1, + -1, + 482983189, + 747988784, + 760593307, + 554636167, + 209298646, + 244893829, + -1, + 765651376, + -1, + 448702164, + 853304795, + 193591080, + -1, + 522533187, + -1, + -1, + 825658196, + 942134017, + 946473536, + -1, + 116781071, + 25699618, + 995618588, + 329753919, + 830246345, + 187263993, + 528107439, + 347059155, + 362486460, + -1, + 346476754, + 932727565, + 631081170, + 635085292, + 901433093, + 767004887, + 436401927, + 935374666, + 918427231, + -1, + 994821106, + 769848550, + -1, + -1, + 873610335, + -1, + 182495642, + 624071830, + -1, + 491978190, + 90146978, + 574454000, + 929863009, + 138233896, + 872170673, + 663688933, + 913656291, + 77556305, + 957131620, + 726473110, + -1, + 575216734, + 285522896, + 719830892, + 887768399, + 958325352, + 447791958, + 95634426, + 757273657, + 555190381, + -1, + 480483961, + -1, + 89019224, + 43945650, + 28548208, + 255635483, + 49551986, + 421727616, + 604984486, + 109429085, + 70198389, + 69241975, + 497639078, + 688721084, + 754814740, + 575490694, + -1, + 325676881, + 995367164, + -1, + -1, + 878128291, + 612603542, + 276720154, + -1, + 928847212, + 555133316, + -1, + 748157828, + 662706994, + 865972216, + 116607796, + 810322997, + 870647575, + 137919118, + 246124908, + 561500203, + 410389517, + 154213076, + -1, + 911056100, + 876187362, + 991245585, + 251600409, + -1, + -1, + 309064164, + 343219471, + 215428387, + -1, + 6967192, + 111123288, + 770185150, + -1, + -1, + 640121741, + 206497895, + 865622971, + -1, + -1, + 333701006, + -1, + 513710392, + -1, + 149393164, + 75662124, + 6088179, + 373728546, + -1, + -1, + -1, + -1, + 990247160, + 864396402, + 923055579, + 344210193, + 556881499, + 619098728, + 729226112, + -1, + -1, + 779775141, + -1, + 964966923, + -1, + 233593128, + -1, + 184658617, + -1, + 553827012, + -1, + 345862351, + -1, + 86452491, + 675012810, + 899192419, + -1, + 111352730, + 468057359, + 497924771, + 675983537, + 298507150, + 713270250, + 892555689, + 143615715, + 282044606, + 108477267, + -1, + 136633120, + 768884213, + 816426343, + 119225883, + 809935502, + 383593327, + -1, + 241016567, + -1, + 203952041, + 78323929, + 647683748, + -1, + 590858854, + -1, + -1, + -1, + 76826346, + 875966210, + 887107080, + 639820029, + -1, + 852940380, + 822225281, + 66399855, + -1, + 987177063, + 45051619, + 630312185, + -1, + 946003788, + -1, + 439898094, + 88787139, + 375277416, + 810108881, + 676463494, + 43906293, + 708423085, + 275598114, + -1, + 565534191, + -1, + 668702940, + 16625508, + -1, + 99177122, + 912024990, + -1, + -1, + 228921448, + 525564855, + -1, + 725662071, + 116108440, + 139850220, + 392140659, + 398809427, + -1, + 77587949, + 404519240, + -1, + 479672630, + 861107761, + 49604331, + -1, + -1, + 81648046, + 655273680, + 521690521, + 849889736, + 282673640, + 101983545, + 556692219, + -1, + -1, + 144795227, + 6902498, + -1, + 421731543, + 170341723, + 387797642, + 892315876, + 390698419, + 841031035, + 140731821, + -1, + -1, + 969155056, + -1, + -1, + -1, + -1, + 313499010, + 65091140, + 352828075, + 678281919, + 558442615, + -1, + -1, + -1, + 360962580, + -1, + 468786446, + -1, + -1, + 196270080, + 542168650, + 282632328, + -1, + 161428746, + 817126446, + 418631583, + 693353193, + 988089819, + -1, + 359347970, + -1, + 181036969, + -1, + 409080378, + 704545833, + 875123765, + 276945940, + -1, + 326239946, + 890816583, + 829987796, + 322190296, + 150244518, + -1, + 91565598, + 716776342, + -1, + 2882583, + -1, + -1, + -1, + -1, + 504444277, + 861138930, + 425969182, + 509016441, + 300794658, + -1, + 831408061, + 614238457, + 694792506, + 135647384, + 80492488, + 98962718, + -1, + 941600615, + 839908430, + 703990219, + 777285005, + -1, + 885705339, + 280244664, + 46569505, + 58866638, + 785597806, + 599867191, + 589767695, + 141550193, + 364084167, + -1, + 488592875, + 841328724, + 640999075, + 802998097, + 815483666, + 171718158, + -1, + 404026306, + 316487512, + -1, + -1, + 430525073, + 732558777, + 625844737, + 732077318, + 757728751, + -1, + 343210008, + 222050848, + -1, + -1, + 822021960, + 573359830, + 341280587, + -1, + 911075124, + 665640918, + 392864997, + 971250432, + 167813507, + -1, + -1, + 43067466, + -1, + 944433087, + -1, + 940798142, + 368406809, + 568222184, + -1, + 705613456, + -1, + -1, + 424968503, + 698559311, + 842657188, + 746556863, + 429157718, + 416093742, + 803710764, + 57576120, + 879955541, + -1, + 860658326, + 926192918, + 367415807, + 523953708, + 722832976, + 142671423, + 627826959, + 32283995, + 942284607, + 32490276, + 749395729, + 511090537, + -1, + 197878989, + 823255008, + 413459745, + -1, + -1, + 351535027, + -1, + -1, + 909377329, + -1, + -1, + -1, + 419259478, + 449836463, + 131550205, + 614690196, + 855623283, + 175059886, + -1, + 719393414, + -1, + -1, + 748092393, + -1, + 808226335, + -1, + 724351129, + -1, + 660929795, + 522605417, + 683480663, + 165834072, + 808271059, + 676552877, + 199313038, + 991816472, + -1, + 776217466, + 569236190, + 205023096, + 798832621, + 579187146, + 646465159, + 176958313, + 677572694, + 475953554, + 673135076, + 968598925, + 780333287, + 423723364, + 261486891, + -1, + 385012529, + 858117933, + 468136258, + 158201101, + -1, + 942482778, + 79718956, + -1, + 520729396, + 448059479, + 724491298, + -1, + 73960255, + 867548337, + 274264005, + 386328277, + 416758030, + 169591985, + -1, + 997016466, + -1, + 719048240, + 95274138, + 496353031, + -1, + 371226684, + 284989962, + 848046446, + -1, + -1, + 701491271, + 951685690, + 180516614, + 785959041, + 610153171, + 960457643, + -1, + 287506238, + 287157877, + -1, + 557718289, + 671206193, + 746896759, + 127009402, + 314680869, + -1, + 246950313, + 120803131, + 365055328, + -1, + 76883162, + 390725797, + -1, + 157259488, + 698148445, + 875417247, + 424588688, + 239944579, + -1, + -1, + 708020169, + -1, + 243832704, + -1, + 341030907, + 589696691, + 699319767, + -1, + -1, + -1, + 825263648, + 118713722, + 704250023, + 306640597, + 234164359, + -1, + 462481964, + 214337877, + 639171814, + 824691828, + 583835024, + 622796502, + 548668077, + 400447172, + 403311047, + 940625190, + -1, + -1, + -1, + 136307919, + -1, + 151774686, + 719917170, + -1, + 301685540, + 853767249, + 932264865, + -1, + 557325550, + -1, + 14726915, + 896668024, + -1, + 46729121, + 849935810, + 61835270, + -1, + 538933733, + 416571426, + -1, + 206058750, + 52384218, + 868310728, + 864650059, + 983394588, + 328534250, + 572845248, + 150067093, + 28198494, + 684738695, + 187432652, + 852801674, + -1, + 497016702, + 913481621, + 214162215, + -1, + -1, + 924573664, + 94988594, + -1, + 119252846, + 376394301, + -1, + -1, + 204456898, + 395583045, + -1, + -1, + 524823355, + -1, + 83353355, + 692993265, + -1, + 329184757, + 482362193, + 260062143, + 212754296, + -1, + -1, + 297715316, + 492987689, + 345066118, + 464804435, + -1, + -1, + 895041284, + -1, + -1, + -1, + 338731572, + -1, + -1, + -1, + 78896876, + 531138823, + 756070779, + 619836795, + -1, + 24884933, + 378413256, + 996784218, + -1, + 214185569, + 455633356, + -1, + -1, + -1, + 144547857, + 47229076, + -1, + 638230814, + -1, + -1, + -1, + 466396402, + -1, + -1, + 429324992, + -1, + -1, + 706144513, + -1, + 371197276, + -1, + 485703782, + -1, + 487277927, + 192685791, + -1, + -1, + -1, + 37606051, + 7647074, + 405481517, + 271399297, + 538164713, + 436295735, + 393563899, + -1, + 775367742, + -1, + 88456608, + 158913591, + 909013492, + 28203991, + -1, + 711364064, + 284073562, + 941201164, + -1, + 441705914, + -1, + 704882955, + 485518210, + 475281013, + 968295506, + 185395857, + 203576887, + 278839136, + 163554945, + 450821324, + 808555615, + 222293490, + 44559946, + 181425940, + -1, + 144554100, + 999433651, + -1, + 913480733, + 147679744, + 966716201, + -1, + 901586446, + -1, + -1, + 53780499, + 268944042, + -1, + 269169016, + -1, + 152117252, + 472558181, + 74854129, + 390008862, + 322522684, + 578849450, + 97378834, + 186796995, + 19556240, + 863470654, + 307378544, + 361659168, + -1, + 117343765, + 585761812, + -1, + 979329328, + 364323903, + 670618507, + -1, + -1, + 213969532, + 717226981, + -1, + 503669913, + -1, + 993344630, + -1, + 405343337, + 196822940, + 974075540, + -1, + -1, + 720357730, + 442384218, + 114000753, + 300909920, + -1, + 512413651, + -1, + -1, + -1, + -1, + 106811916, + -1, + -1, + 70009280, + 70543555, + -1, + 566013734, + 721931668, + -1, + 869951800, + 678741000, + 957949542, + 195338198, + 946211975, + 985959515, + -1, + -1, + 296191376, + 273431931, + -1, + 102858506, + -1, + 10280196, + -1, + 581758578, + 95278462, + -1, + 571007300, + 986953304, + 109362819, + 988307755, + 333748398, + -1, + -1, + 154471162, + 452605412, + 889852721, + -1, + 169116732, + 519343924, + 59423063, + 539668505, + 956131456, + 548245297, + 428397352, + 166008597, + -1, + 90083066, + 246907835, + 299895833, + 159716116, + 449030433, + 737890718, + -1, + 517782490, + 377921373, + 639974571, + 48639180, + 934658476, + 597610861, + 277408701, + 42600188, + -1, + 139778180, + 850355824, + -1, + 711132790, + 436848835, + -1, + 349057789, + 909399903, + -1, + -1, + 865897371, + 256021748, + 267277841, + 183086542, + 944868151, + -1, + -1, + 675365276, + -1, + 659305743, + 472423435, + 614683377, + -1, + 49202041, + 919942469, + -1, + -1, + 395122232, + -1, + -1, + 674796311, + -1, + 464993558, + 131638153, + -1, + -1, + 479309135, + 724991678, + -1, + 712179604, + 125189597, + 955985403, + 463396771, + 476166574, + -1, + -1, + 368276686, + 621672479, + 243815817, + 410350847, + -1, + 963975867, + -1, + -1, + 982182813, + 899777803, + -1, + -1, + 20317486, + -1, + 35458099, + 267441564, + 638371497, + -1, + 372007008, + -1, + 213766149, + 178544884, + 435672151, + 953520841, + 737537876, + 694931180, + 383305537, + 13275828, + -1, + 140559960, + -1, + 982181439, + 429467897, + 717936906, + 335507635, + -1, + 350947110, + -1, + 411112436, + 587451321, + 794242978, + -1, + -1, + 158426797, + -1, + 265926699, + 325740586, + 825501008, + -1, + 530309204, + 609410251, + -1, + 428117666, + 206915352, + -1, + 256959361, + 3111454, + 595906313, + 996081060, + 614946847, + -1, + -1, + 74230531, + 582701903, + -1, + -1, + 412525580, + 515416544, + 287010735, + 183373501, + 443023544, + 807865024, + 60854371, + 181321331, + 690614145, + 27268908, + 861771537, + 607374276, + 299661911, + 990069117, + -1, + -1, + 219185896, + 459132843, + 373810727, + 87550171, + 811592520, + 920296778, + 748567445, + -1, + 127463360, + 416340823, + 545347486, + -1, + -1, + 716512470, + 289124176, + 34296567, + 271837198, + -1, + -1, + -1, + 549140728, + 196258140, + 885208850, + 144026506, + 653992233, + 541085906, + 224645392, + -1, + 876481973, + 70621799, + 232259629, + 146890687, + 8620482, + 240107040, + -1, + 439688379, + 454122279, + 22468772, + -1, + 972964073, + 672115537, + -1, + -1, + 388194593, + -1, + 169648688, + 68515200, + -1, + -1, + 899916279, + 100425591, + 78673535, + 889869499, + -1, + 605612787, + -1, + 605737977, + 639087588, + 576747858, + 857166750, + 860777540, + 586801779, + 12679980, + 893800054, + -1, + -1, + 112678737, + -1, + 742101456, + 798992653, + -1, + 719987325, + 818933973, + -1, + -1, + 689506680, + 746630098, + 671900751, + 994757353, + 758647241, + 464550309, + 300408312, + 964723712, + -1, + 297299896, + 258948760, + 436168436, + 818988333, + -1, + 487429170, + -1, + 885139678, + 608977920, + -1, + 42775189, + 999447343, + -1, + 350774982, + 944868740, + 538541669, + 764414145, + -1, + 258703370, + 767734564, + 122761803, + -1, + -1, + 845840855, + 989713585, + 513562234, + 659825409, + 135289244, + -1, + 220052834, + 516431992, + -1, + -1, + 820388019, + 647537648, + -1, + -1, + 438827997, + 80438261, + -1, + -1, + 228303740, + 257392779, + 525123161, + 970637778, + -1, + 588345081, + -1, + 906570688, + 84744281, + 515456801, + -1, + 775102930, + -1, + -1, + 192159162, + 293141908, + 136582197, + 746116945, + 9327347, + -1, + 4716562, + 210828891, + 475509111, + -1, + -1, + 910846236, + -1, + 140264826, + 693606342, + 714755023, + -1, + 591204824, + 940750233, + -1, + -1, + -1, + 285014528, + 847565968, + -1, + 765575294, + 919767584, + 452755745, + 244974596, + 440835990, + 387232569, + -1, + 921015449, + 523710968, + 18841607, + 338924222, + 369213793, + -1, + 969271133, + -1, + -1, + -1, + 510823121, + 29903160, + 50672171, + -1, + -1, + 664852515, + 103373426, + -1, + -1, + 866216239, + 306011624, + 74011862, + 165043953, + -1, + 636143842, + 363143270, + -1, + 766770226, + 724670969, + -1, + 465947084, + -1, + -1, + 352384766, + 561286876, + 343000348, + 78811062, + -1, + 143302285, + -1, + 583563885, + 58748512, + 444324948, + 538511034, + 522682389, + -1, + 163222093, + 80169079, + 574550048, + 665316333, + 374712730, + 405133608, + 952619824, + 286607927, + -1, + 853428694, + 976424416, + -1, + -1, + -1, + -1, + 430056181, + 27625930, + 777172382, + 682709068, + 738191956, + 618714541, + 420101043, + 971486273, + 791976863, + 914178057, + 66260413, + -1, + 26294886, + 303337495, + -1, + -1, + 657110112, + 795463290, + 193751658, + -1, + 863622475, + 988873728, + -1, + 680608320, + 415705485, + 498111575, + 640148679, + 101917309, + -1, + -1, + -1, + -1, + 708386884, + 671346469, + 185965932, + 288711825, + 383838167, + 850884585, + 871528532, + -1, + 602196127, + 545431637, + 155650672, + 323653315, + 426314652, + 412316897, + -1, + 602853820, + 45053735, + 616669500, + 543684075, + 777740330, + 672118951, + 585988998, + -1, + -1, + 531763396, + 519563018, + 524335666, + 326081222, + 962528855, + 58861895, + -1, + 650115967, + -1, + -1, + 837104568, + 905315377, + 33354359, + 209448003, + 462868051, + -1, + -1, + 153585566, + -1, + 622323217, + 251540100, + 301938563, + 859244686, + 185871874, + 52821249, + -1, + 622769786, + -1, + 914332844, + 581982067, + 659212596, + 341559655, + 368713115, + 836635749, + 367237892, + 237912233, + 240477609, + 93839185, + 902152531, + -1, + -1, + 378118858, + 137054004, + 806741458, + 609677104, + 748905826, + 903059661, + 179323279, + -1, + 375067027, + 695157846, + 529077195, + -1, + 940768753, + -1, + -1, + -1, + 194724435, + 73058353, + -1, + 874838612, + 277842638, + -1, + 592235592, + 358594485, + 840956613, + 651298204, + -1, + 619337894, + 72742814, + 848158058, + 823806353, + 903018068, + -1, + 383252663, + 591274372, + 497461481, + 443882893, + 347166294, + 970095746, + -1, + -1, + 295678841, + 607129972, + -1, + 743673428, + 907526502, + -1, + 578173077, + -1, + -1, + -1, + 411904696, + 94724833, + 740158708, + 346625873, + 913206295, + 935786182, + 924831035, + 412929433, + 103932402, + -1, + 662304930, + 942884815, + 551179679, + 701799672, + 405386912, + 985745204, + -1, + 918966346, + -1, + -1, + 651427009, + -1, + 911695911, + 645493663, + -1, + -1, + 947864439, + -1, + -1, + -1, + -1, + 722372252, + 920095823, + 319714279, + 385641284, + -1, + 216888855, + 42854472, + 915211908, + 456483651, + 708515340, + 121777510, + -1, + 230579150, + 427803550, + 436649601, + 654690095, + 224159609, + 422244902, + 777042946, + 242843543, + 674059813, + -1, + -1, + 46400257, + 45822111, + 345819774, + 189235082, + 369313761, + 429301583, + -1, + 877581433, + 693548827, + -1, + -1, + 501302212, + 170856370, + 30444514, + -1, + 408780551, + -1, + -1, + -1, + -1, + 826462170, + -1, + 336833208, + 263651634, + -1, + 759281760, + -1, + -1, + -1, + -1, + 724090218, + -1, + -1, + 600184066, + 501768821, + -1, + 762386612, + -1, + 271510997, + 145427147, + -1, + 475816036, + 535163290, + -1, + 176516778, + 39065085, + 170383965, + 456379460, + 612756946, + -1, + 443779424, + -1, + 834484621, + 775147847, + 307354049, + -1, + 327029536, + -1, + 983549204, + 601150287, + 412750535, + 613033840, + 765374113, + 127130006, + 839887435, + 681857448, + -1, + 210386191, + 100362367, + 196718424, + 209724382, + 640823941, + 118076661, + 339574720, + -1, + 266591167, + -1, + 151173502, + -1, + -1, + 994070855, + -1, + 890949368, + 786295358, + 162905229, + 159616677, + 392523923, + 459700746, + -1, + -1, + 58878362, + -1, + -1, + 478162048, + -1, + 415865294, + 505045086, + 519501775, + 659977186, + 298098273, + 768590038, + 627087896, + 29247096, + 368939602, + 128086313, + 568360220, + 309436471, + 728915346, + 669543085, + -1, + -1, + 244388958, + -1, + 488130373, + -1, + 929947718, + -1, + -1, + -1, + 143669852, + 328257512, + 808377130, + 627609712, + 563106279, + -1, + 459316859, + 1213042, + 639109815, + -1, + 53185360, + 788167067, + 312394062, + 388796824, + -1, + -1, + 504580189, + 537536767, + 567544365, + 425896182, + -1, + 114053569, + -1, + 773901798, + 139506974, + 148523269, + 674307214, + 897362997, + -1, + -1, + -1, + 766194485, + 407710391, + 791324656, + 952420681, + 398550687, + 177097733, + -1, + -1, + -1, + -1, + -1, + 661414606, + 404192958, + 392121098, + 620111507, + 437890545, + 182251254, + 158213879, + 839719861, + -1, + -1, + -1, + 672946067, + 298065716, + 807536603, + 774560856, + -1, + -1, + 21317709, + 234898439, + -1, + 246549471, + -1, + 286187143, + 567419797, + 683994845, + 184645975, + 527993734, + 3455761, + -1, + 906750638, + 456688835, + 741821833, + 460140841, + -1, + 497683020, + 30389050, + 231639644, + 261054700, + -1, + -1, + -1, + 576502819, + -1, + 770441950, + -1, + 756062059, + -1, + 349746147, + 994314739, + 151159986, + -1, + 233797875, + 628580425, + 672334273, + 653461748, + 358757056, + 658596099, + 465510256, + -1, + 434440308, + 330249616, + 285607626, + 87171350, + -1, + -1, + 785765490, + 333481955, + 672593715, + -1, + 251840993, + 257597004, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 856324611, + 472272002, + 77306788, + 158831788, + 167094144, + -1, + -1, + 772233018, + 600574002, + 659288370, + 855981030, + 620033319, + 711145097, + -1, + 368323264, + -1, + 949827254, + 101495343, + -1, + -1, + 586241830, + -1, + 104204753, + -1, + -1, + 291796205, + -1, + 562094137, + 655024686, + 10476985, + -1, + 447868103, + 973469776, + 550025495, + -1, + 21144668, + -1, + 58276111, + 980680460, + 262861677, + -1, + 710594377, + 223081756, + 84831942, + 796506619, + 602498343, + 382641347, + -1, + 177736559, + 550218934, + 370247318, + 132786394, + 217563708, + 132841957, + -1, + 685116950, + 197959509, + 510407991, + 900639302, + 806432663, + 251248737, + 168610427, + -1, + -1, + -1, + 877226839, + -1, + -1, + 363470290, + 767631024, + 910832776, + 679446408, + 445608085, + 346985324, + -1, + 598308238, + 116795377, + 597627534, + -1, + 129872977, + 2197853, + 662610826, + 111064723, + 228192054, + 304593353, + 538689999, + -1, + 369021189, + -1, + -1, + 746687246, + 66217826, + 878238511, + -1, + -1, + 18102383, + 77794584, + 710481910, + 666458922, + 187669741, + 657311587, + -1, + 818148610, + -1, + 685012513, + 258937129, + 133609809, + 853618034, + 950863299, + 336848674, + 31559754, + -1, + 364663747, + 309828525, + 328746200, + 812683419, + 21966409, + 41081317, + 40069069, + -1, + 140368090, + 135728591, + 465889482, + 38838976, + -1, + 785619225, + 619306214, + 630461872, + -1, + 993840879, + -1, + -1, + -1, + 829582776, + -1, + 249127806, + 546489322, + -1, + 303362804, + -1, + 87352822, + -1, + 177841807, + 372585324, + 831793050, + 743652918, + 931515985, + -1, + 963669091, + 442373316, + 135126958, + 824188483, + 534625511, + 332300680, + 176118055, + 949412708, + 244003400, + -1, + 684146549, + 591629207, + 788572123, + 792930498, + 373714540, + 850086887, + 867506391, + -1, + -1, + 162276500, + 221408871, + -1, + 709662485, + -1, + -1, + 647153602, + 914449524, + 210972497, + -1, + 938703828, + 577303795, + 127675344, + -1, + 534941618, + 606628173, + 834281896, + 512853074, + 138892840, + 193532222, + 181533143, + 136791453, + 206338718, + 944920978, + 946788491, + 403223441, + -1, + 895763895, + 527771274, + -1, + 526994467, + 679004037, + 764262369, + 539191944, + -1, + 129426700, + 776627164, + 215195940, + 68099695, + -1, + 499149175, + 414767432, + 638933741, + -1, + 909135811, + 80496893, + -1, + 354426733, + 476427729, + 649155047, + 967260243, + 656560019, + 660606550, + -1, + -1, + 406863904, + -1, + -1, + 364672479, + -1, + 921597405, + 563940702, + 975963539, + -1, + 828474617, + 429130799, + 115218056, + 368865276, + -1, + 720577894, + -1, + 417182749, + 563815992, + 479732238, + 148828990, + -1, + 865608095, + 775927854, + 892259786, + 358203639, + 879953487, + -1, + -1, + 950347989, + 271431206, + -1, + 849335971, + 512447393, + 392694911, + -1, + -1, + 186443407, + 607739698, + 87620928, + 461571634, + 96759930, + -1, + 969314990, + 881475184, + -1, + 996016868, + 738673747, + -1, + -1, + 438589912, + 641942424, + -1, + 160721331, + 7309751, + 703368574, + 353265612, + 471323785, + -1, + 713665832, + -1, + -1, + -1, + 524422300, + -1, + 580669197, + -1, + 286104779, + -1, + -1, + 115712872, + 556275051, + -1, + 892160523, + 30455191, + 962977878, + 442574809, + 938607637, + -1, + 550052054, + -1, + -1, + -1, + -1, + 408968252, + -1, + -1, + 85697449, + 428192040, + 852619974, + 135134154, + 1121742, + 2469548, + 566076822, + 87518758, + 295356615, + -1, + 331557499, + -1, + 505887289, + 1067848, + 911426558, + 338997960, + 741053265, + 909244799, + 60014214, + 490973792, + 12338878, + 59644595, + 493782463, + 529885282, + 607934934, + 144960372, + 436569326, + 291404168, + 144533121, + 540603574, + -1, + 785999662, + 818567071, + -1, + -1, + -1, + 336035371, + 428269044, + -1, + 181479874, + -1, + 305058463, + -1, + -1, + 412855628, + 650309886, + -1, + 816651977, + 142076004, + 938179966, + 702880339, + 948516048, + 148927405, + 280469992, + 347962113, + 652138350, + 498487012, + 886930941, + 917845818, + 761929107, + 367061871, + -1, + -1, + 972867130, + 860873014, + 965476876, + 656012280, + 436432612, + 115279841, + -1, + 752943969, + 282921140, + 412987357, + 560600158, + 192101815, + -1, + 686567268, + -1, + 118550093, + 710803024, + 43756385, + 357869073, + 149711684, + 396637852, + 580191126, + -1, + 817140330, + 164787714, + -1, + 803487837, + -1, + 37083982, + -1, + -1, + -1, + 359719144, + 656660935, + 770095765, + -1, + 938307580, + -1, + -1, + 647566603, + -1, + 617295150, + 103390761, + 506477304, + 545682051, + 858648136, + 205833587, + 143773201, + 560499852, + -1, + 418942733, + 330505299, + -1, + 662322529, + 651301607, + -1, + 167766270, + 389121531, + 182319697, + -1, + 833258751, + 413388905, + 896947699, + -1, + 731816386, + 895724278, + 25786695, + 158571000, + 627264659, + 755133038, + 590534172, + 775697181, + 686539207, + 95680000, + 151603038, + 897977434, + 991412142, + 861306630, + 638822975, + 174867936, + 852948700, + 555167229, + 653687887, + -1, + 471340165, + -1, + 802327090, + 593012820, + 377135102, + 171418862, + -1, + -1, + -1, + 113325743, + 243917909, + 476213338, + -1, + 115350678, + 19695525, + 340259810, + 465743152, + -1, + 690749450, + 997362815, + 306483354, + 285166770, + -1, + -1, + -1, + 29582861, + 746347826, + -1, + 112305722, + 880215163, + 356949463, + 542429167, + 823528769, + 304160880, + -1, + 632086189, + 279850933, + 37505272, + 71571873, + 807204088, + -1, + 576239334, + 234317961, + 52682522, + 594066558, + 402412398, + -1, + 696401210, + 648053462, + 608520403, + 987327282, + -1, + -1, + -1, + -1, + 146036765, + 990623344, + -1, + 164290145, + -1, + -1, + 5168295, + 652215662, + 665176186, + 239567161, + 952315631, + -1, + 697202027, + 738533343, + 60070126, + -1, + 775071490, + 619318823, + 566202137, + -1, + 174646557, + -1, + 945396239, + 116893785, + 820298331, + 623621330, + 558133309, + 242824248, + -1, + 332885692, + 960916353, + 41331926, + -1, + -1, + 812077653, + 926012725, + 411009201, + -1, + 633484528, + 388648519, + 136044076, + 732936268, + -1, + 729220855, + 872404279, + 237144572, + -1, + 503501789, + 299304711, + 864383974, + 362088446, + -1, + 243621870, + 129983523, + 508452288, + 908193521, + -1, + 381778428, + -1, + 61134340, + 561035506, + 696840173, + 88668028, + -1, + 391129230, + 541168365, + 812890221, + 292601902, + 114996217, + 780202761, + 433464812, + 698248710, + 126173737, + -1, + -1, + 945141978, + -1, + -1, + -1, + 379270357, + 800552158, + 331640165, + 488787853, + 78365862, + -1, + -1, + 744219074, + 923753342, + 34510639, + -1, + 816853634, + -1, + 219548899, + 877560241, + 957246370, + 448179168, + 44580696, + -1, + -1, + 171652438, + 672473710, + 916315428, + -1, + 212363158, + 487870248, + -1, + 486345642, + 441316697, + 317595958, + 595177106, + -1, + 889870395, + 474578061, + 179547553, + 422444193, + 625456028, + 743355052, + -1, + -1, + 504132395, + -1, + 669523430, + 424677339, + -1, + 324858616, + 692210880, + 65919512, + -1, + 797168080, + 788105399, + 38596640, + 808321598, + -1, + 938135220, + 178798614, + -1, + 115120245, + 536967095, + 701489562, + -1, + 141591638, + 419658812, + 240424631, + 344434984, + 791121566, + 386910106, + 724713635, + 523377328, + 839709589, + 954070464, + 996736117, + -1, + 659356342, + -1, + 935202725, + -1, + 953249260, + 767434245, + 974977785, + 822618453, + -1, + 447980172, + 552027563, + 636315657, + -1, + 731479833, + 671709675, + 869896124, + 638232092, + 412460696, + -1, + 549295271, + -1, + -1, + -1, + -1, + 54348285, + 622255951, + 276270988, + 773818300, + -1, + -1, + -1, + 147951459, + 758079956, + 656720255, + -1, + 711737275, + 906000076, + 991233784, + 863563049, + 918683432, + 798276826, + 864931131, + -1, + 983703338, + -1, + -1, + 824404541, + 62082741, + 436254678, + -1, + -1, + 707812881, + 878701071, + 918113518, + 978731237, + -1, + 723771129, + -1, + 510186446, + 789404901, + 943041532, + -1, + 701130061, + -1, + 459011624, + 617131501, + -1, + 763491468, + 883509795, + 139562563, + 342167656, + 898699880, + 138738860, + 440625048, + 655335492, + 59131957, + 308891429, + 697520765, + -1, + 384110961, + -1, + 806071719, + 256412063, + 748348471, + 487200488, + 387685886, + -1, + 811736554, + 792168271, + -1, + 618982775, + 196101642, + 648422080, + 29878978, + -1, + -1, + 196501874, + 311266912, + 637235957, + 689312226, + -1, + 211446885, + 116557441, + 633093012, + -1, + 924792169, + 953158123, + -1, + 442141509, + 745135785, + 248445092, + 122208945, + 719824099, + 407571128, + -1, + 780925822, + 350726796, + -1, + 864095396, + 563907361, + 637181130, + 891046172, + -1, + -1, + 990391026, + -1, + 953429126, + 948593786, + 26165471, + 863114969, + -1, + 213757500, + 99209530, + -1, + -1, + 875142789, + -1, + -1, + 989521577, + -1, + 60678020, + 774170620, + -1, + -1, + -1, + 246697505, + 158541279, + -1, + 751008308, + -1, + 323610316, + 89810068, + 883714098, + 960318170, + -1, + -1, + 80078299, + 441896200, + -1, + -1, + 64405745, + 531037994, + 586770346, + -1, + 43919327, + -1, + 316275792, + 647536834, + -1, + 96357760, + 970242371, + 986661522, + 773008150, + 264489218, + 976974729, + -1, + -1, + 766844833, + 43908836, + -1, + 963176891, + 484463412, + -1, + -1, + -1, + 449765695, + -1, + -1, + -1, + 220626205, + 570092253, + -1, + 45047725, + -1, + 66970355, + -1, + -1, + -1, + 870414366, + 281130619, + -1, + 175581347, + 423319008, + 924480632, + 528179986, + -1, + -1, + 424210376, + 939717960, + 998768333, + -1, + -1, + -1, + -1, + 39486984, + 191192664, + 124593776, + 811174047, + 986325181, + -1, + 243890974, + -1, + -1, + 31426360, + -1, + 904549196, + 622124023, + 757648446, + 734921668, + 521762322, + -1, + -1, + 551293026, + 268028884, + 280296993, + 7150553, + -1, + -1, + 813738811, + 705557368, + -1, + 361848247, + 305608213, + 126870719, + -1, + 235072331, + 781148870, + 782400179, + 472101254, + 127163146, + 191641756, + -1, + -1, + -1, + -1, + 443835815, + 780829240, + 197168921, + -1, + 569449294, + 823412735, + -1, + 920333358, + 424265082, + -1, + 626329160, + -1, + -1, + 610241164, + 785065122, + -1, + -1, + 493323005, + -1, + 315958356, + -1, + 515464913, + -1, + 843350617, + 990235346, + 402854977, + 381321642, + -1, + 647709470, + 568671965, + -1, + 801420905, + 762473200, + 517203122, + -1, + -1, + 254951008, + 890061617, + 80034917, + -1, + 147605225, + 809190171, + 267616995, + 567591261, + -1, + 928619650, + 435022934, + -1, + 703290049, + 384412463, + 905880688, + 474605928, + 400293887, + 509609062, + 990777777, + 678579177, + 605723582, + 655647878, + -1, + 16231596, + -1, + 306347241, + -1, + -1, + -1, + -1, + 46038526, + 987823668, + 747383016, + 549170005, + -1, + -1, + 567298684, + 717642010, + 771110322, + -1, + 342905202, + -1, + -1, + -1, + -1, + 331764780, + -1, + -1, + 986141760, + 560029764, + -1, + 820613754, + 446116234, + 104469296, + 948726240, + -1, + 280215830, + 710080434, + -1, + 240618140, + -1, + 894411325, + 837635074, + 173485359, + 551556930, + 622339739, + 492604677, + 822625277, + 797598816, + 956416285, + -1, + -1, + -1, + 72175010, + 748720501, + -1, + 890186471, + -1, + 758386919, + 822983470, + 703185819, + 476573402, + -1, + -1, + 95457812, + -1, + 815482647, + 769005300, + 99160034, + -1, + 994594291, + -1, + 779223171, + 278447920, + 61709099, + 774406561, + 424489505, + 465504860, + 930576956, + 360331906, + -1, + 818596167, + 883644772, + -1, + 189552372, + 59428799, + -1, + -1, + 794367404, + 701958277, + -1, + 21199107, + -1, + 90620979, + -1, + -1, + 987285458, + 538908500, + 30761141, + 493190206, + 861856359, + 380759418, + 96018130, + 420916749, + 699846974, + 70520871, + 799065665, + 429905798, + -1, + -1, + 401692834, + -1, + 860659629, + 616744033, + -1, + 880178099, + 356774954, + 263050955, + 228391037, + 457148974, + -1, + 593743734, + 734562170, + 454959138, + -1, + 79130129, + 861818806, + -1, + 590541448, + 245037476, + 497048461, + 893167987, + -1, + -1, + 400471361, + 537378491, + 643953214, + -1, + -1, + 252615933, + 314323563, + 15926931, + 399169995, + 302314059, + 580327774, + -1, + 340312031, + -1, + -1, + 513972644, + 667342483, + -1, + 236044041, + -1, + 147459390, + 968451880, + 160719873, + 45572462, + 540436156, + 592553521, + 795411485, + 957437951, + 272047565, + -1, + -1, + 638084786, + 141038879, + 919976604, + 957456287, + 682592686, + -1, + 490112497, + 976295730, + 693457859, + 410290722, + 103922867, + 22122512, + 829089026, + 971585410, + 777869085, + 383497698, + -1, + -1, + -1, + -1, + 634480582, + 77064101, + 766774430, + 917823500, + 168147808, + 744367369, + 566873058, + 727147398, + -1, + 907368323, + 865901734, + 237016687, + -1, + 180876475, + 808283367, + -1, + 351713294, + 812761821, + 137894972, + 183737394, + 594313703, + -1, + 175460089, + -1, + -1, + 641154985, + 863697535, + 390200386, + 661291796, + -1, + 201285596, + 223202804, + -1, + 318728754, + 790095385, + 517556467, + 275643095, + 991313296, + 328287218, + 518159897, + -1, + 511168489, + -1, + -1, + -1, + -1, + 343283406, + 842001274, + 791249115, + 498737616, + 698388442, + 220976811, + 336007807, + 680016047, + 605763078, + 883712603, + -1, + 277850178, + 681833115, + 273868603, + 452117856, + 390843407, + -1, + -1, + 947836000, + 21895467, + 190480983, + 126243690, + -1, + 575641323, + -1, + 784720022, + 758433882, + 523605156, + 104247904, + -1, + -1, + 594845383, + 923590545, + 121988569, + -1, + 517149881, + 743931995, + -1, + 313149296, + -1, + -1, + 871493956, + 707548654, + 174926440, + -1, + -1, + 540771907, + 804498833, + -1, + 939793516, + 948211585, + -1, + 311976686, + 677316971, + 762005051, + -1, + -1, + 904406545, + 635219363, + 343678374, + 86690428, + -1, + 230351503, + 545256547, + 732286305, + 238689867, + 507878795, + 992143778, + 456380119, + 325949673, + 786879869, + 984301487, + -1, + 208894835, + -1, + -1, + -1, + -1, + -1, + 117792770, + 103841049, + 490774530, + 724197179, + 809861399, + 223854900, + 185735847, + -1, + 145792653, + -1, + 696344948, + 987084643, + -1, + -1, + 398163918, + 106189333, + 58483036, + 766693009, + -1, + 185216977, + 325925276, + 699896221, + -1, + 183807787, + -1, + -1, + -1, + 927395913, + 382417021, + 860865964, + -1, + 379236705, + 587949996, + 938676419, + -1, + 953321147, + 898433951, + 167576278, + -1, + 541347806, + 663189878, + 613452711, + -1, + 539700554, + 80301334, + -1, + 253681860, + 269610713, + 927662435, + 322682623, + -1, + 326088589, + 641582035, + 498478213, + 263526409, + 131078664, + 215801972, + 842394457, + -1, + -1, + 463617956, + -1, + 574518091, + 261103723, + -1, + 419268396, + -1, + 925519770, + 602060998, + -1, + 98425068, + 406946019, + 184336852, + 209209585, + 75878576, + 357403047, + -1, + 37167692, + -1, + 842282609, + 326365143, + -1, + 153811466, + -1, + -1, + 701545371, + 210970904, + 861788706, + 331443367, + 341796821, + -1, + 406997319, + 680120289, + 680928456, + 711324201, + 304152821, + 823379905, + -1, + -1, + 624573189, + 506992602, + 668183181, + -1, + 503458611, + 806949312, + 381016745, + 320557722, + -1, + 347367215, + 170670586, + 418406224, + 630383621, + -1, + -1, + 426824844, + 208117409, + 277507761, + -1, + 325270429, + 801276170, + -1, + -1, + -1, + 236501367, + 392067331, + 315007347, + -1, + 233420323, + -1, + 4554033, + 20672137, + 954463396, + 382360677, + 950548515, + 34241546, + 840026191, + 754245500, + 159735234, + 659651291, + 916562250, + 796468237, + -1, + 755793473, + 525278255, + 603599507, + 591575684, + -1, + 304830137, + -1, + 432647270, + 555148038, + 535639983, + 231399113, + -1, + 3456004, + 500611975, + -1, + 179275444, + 25383732, + -1, + -1, + -1, + 332848307, + 691689025, + -1, + 152226702, + 449705592, + 441735615, + -1, + 163836471, + 449280458, + -1, + 67211925, + 942766151, + 906910043, + 33127467, + -1, + -1, + 109080491, + 114124895, + 901724979, + -1, + 274146975, + -1, + -1, + -1, + 678055266, + 405558815, + 860401883, + 919391863, + 505411348, + 659873732, + -1, + -1, + 516784238, + 278244197, + 167521388, + 480288424, + 729410311, + 366775969, + -1, + 293942798, + 903660542, + 741748769, + -1, + 871093601, + 773319281, + -1, + 357407252, + 528367468, + 535836676, + -1, + 471917171, + 139277944, + 855941136, + 285691683, + -1, + 168883271, + -1, + 188995964, + 305569117, + 839912542, + 527505116, + 423692885, + 861304871, + 865223711, + 571296107, + 515438242, + 39853288, + 3668088, + 874096906, + 444886179, + 791034202, + 315530078, + 693415447, + 333073012, + -1, + -1, + -1, + 22856337, + 490256513, + 481511138, + 622152279, + 898907952, + 514427018, + -1, + 376796509, + 715295138, + -1, + 704106432, + -1, + 245213217, + -1, + -1, + 27481311, + 445139024, + 180055367, + -1, + 527644010, + -1, + 932045745, + 522735964, + 787935260, + 498456519, + 593076769, + 480846969, + 269275856, + -1, + 403202858, + -1, + 428822158, + 897393984, + 801502496, + 696061739, + 80010121, + 24576360, + -1, + -1, + -1, + 759236759, + 764193567, + 539978070, + -1, + 881516282, + -1, + 804127614, + 417413873, + 648647949, + 886879623, + 633493514, + 296861397, + 555245218, + 80145910, + 134661392, + 359870341, + 281737094, + -1, + -1, + 313469900, + 568485602, + -1, + 50517707, + 733606840, + -1, + 378649200, + -1, + -1, + -1, + 61858505, + 661701559, + 89401069, + 800362680, + 473363021, + -1, + -1, + 308397096, + -1, + -1, + -1, + 78796687, + 320876623, + 813349121, + 333364215, + 826627895, + 473228099, + 272467609, + 108816203, + -1, + 476733622, + -1, + 283106258, + 613599955, + 213028253, + -1, + 636323712, + 30235318, + 849529431, + 42549571, + -1, + 21099617, + 757422826, + 332185281, + 892819341, + 459695008, + -1, + 321949185, + 487705585, + -1, + -1, + -1, + 350180523, + 495310546, + -1, + 848109219, + -1, + -1, + 63747325, + 84760574, + 190566084, + -1, + 413532457, + -1, + -1, + 545374164, + 904891633, + 539558505, + -1, + 62297103, + 194756585, + 314485238, + 922161542, + 169903070, + 279285775, + 225156023, + 697131571, + -1, + 115581675, + 112649426, + -1, + 69252105, + 763810109, + 258528422, + 810317381, + 769170101, + 114204084, + 712009363, + 209916957, + -1, + 848172236, + -1, + 738823910, + -1, + 381410494, + 647304267, + -1, + -1, + -1, + 822487351, + 476042495, + 307299382, + -1, + 497022550, + 260101133, + 339111924, + 198658617, + 91655730, + 895044887, + 597256709, + 284765426, + 705511284, + 452539902, + -1, + 16289032, + 704910403, + 602745510, + 584043082, + 881945740, + 575490227, + 796501364, + -1, + 6149248, + 322692175, + 25471185, + -1, + 11859021, + -1, + 864552014, + -1, + -1, + 420305896, + 524222446, + 16573532, + 413953939, + -1, + 243998851, + 513481151, + -1, + 470013883, + 602575906, + -1, + 389563130, + -1, + -1, + 162141989, + 268364091, + -1, + 747982938, + -1, + -1, + 618484969, + 503419817, + -1, + -1, + -1, + 121629276, + 60314790, + -1, + 972311420, + 7053605, + 22033389, + -1, + 629758007, + 235079531, + -1, + 31268279, + 277336225, + 775809506, + -1, + 702083984, + 403678442, + 654871841, + 907238657, + 657837823, + 584967743, + -1, + 879641789, + -1, + -1, + 419670843, + -1, + -1, + -1, + 983823607, + -1, + 250914658, + 104323111, + 343579205, + 430126467, + 846927994, + 3471531, + 44282140, + 304884918, + -1, + 854825517, + -1, + 718895672, + 250686525, + -1, + 88159761, + 945844340, + 739993900, + -1, + 191007297, + 333645739, + 923505311, + -1, + 691050310, + 117173893, + 870791200, + -1, + 903503361, + 236696336, + 293443559, + -1, + -1, + -1, + 934450501, + -1, + -1, + 122542345, + 176789574, + 188320018, + 42252393, + -1, + 22797011, + 791327444, + -1, + 442071770, + 662578799, + 786661696, + 538765532, + 894471543, + 647870316, + 32089053, + 864335381, + 167860611, + 349922456, + -1, + -1, + -1, + -1, + -1, + 959610891, + 88189090, + 86182514, + 971806951, + -1, + 497793523, + 200196758, + 604893401, + 5180362, + 795565735, + -1, + 366517196, + -1, + 937410978, + 384406446, + 477662605, + 482677042, + 259679517, + 330279572, + 598994957, + 976139543, + 927051648, + 788787852, + 767940352, + -1, + 24048633, + 815786744, + -1, + 687653220, + 904229869, + -1, + 781768075, + 801301664, + 804581906, + 980262115, + 817381581, + 444234925, + 522722266, + 676043615, + 288865362, + 64557982, + 62851433, + 13876118, + 650795814, + 394279328, + 121492599, + 80610450, + 291444153, + 605051762, + -1, + -1, + 834185293, + 127205056, + 694223373, + 749725973, + -1, + 110748248, + 978401894, + -1, + 220551679, + -1, + -1, + 128588571, + -1, + 575686109, + 858883285, + -1, + -1, + -1, + -1, + -1, + 995563127, + 388047162, + 381046687, + 365459014, + 461399468, + -1, + -1, + 749919278, + -1, + 719516699, + 676903359, + 622960557, + -1, + 46448511, + -1, + 120281085, + 284066261, + 704603722, + -1, + 369754580, + -1, + 737549725, + 325770436, + 723142242, + 864732574, + -1, + -1, + -1, + 435323039, + 793523376, + -1, + 722754097, + 631767328, + 316308262, + 82794481, + 198597759, + 506252028, + 428203335, + 52068566, + 443966314, + 190250626, + 537794512, + 647252958, + 925913822, + -1, + -1, + 158817201, + 277530886, + 688528175, + 805010339, + -1, + 449948032, + -1, + -1, + -1, + -1, + -1, + -1, + 919263975, + 868556635, + -1, + -1, + -1, + -1, + -1, + 428627088, + 636971572, + 99039420, + -1, + -1, + 304690938, + 4555556, + 682257877, + 940884159, + 281872844, + -1, + 150732325, + 814629958, + 604656411, + 116462016, + 415155076, + 735581945, + 974102354, + 392565700, + 463048570, + 58773437, + 238612932, + 178846187, + 180268764, + 227832620, + 10817008, + 621936711, + -1, + 113366243, + -1, + 677653835, + 332129595, + -1, + -1, + -1, + 198130489, + 681790561, + 82609384, + -1, + 530168732, + 754288255, + 721451892, + 289800195, + -1, + 351352967, + -1, + 316330137, + 660419195, + 275704040, + -1, + 36993695, + 327619542, + 568570111, + 442277347, + -1, + 829196691, + 442210417, + -1, + 600529770, + 21161002, + 33260084, + 224005163, + 602654179, + 935932539, + -1, + 911808102, + 678670536, + 880932443, + -1, + 169232455, + -1, + -1, + 535834312, + 28353636, + 546351382, + 79041352, + 559154628, + -1, + -1, + 290648661, + 626416687, + 900274626, + 120403113, + 323751500, + -1, + 74658409, + 341803992, + 141030810, + 188736493, + -1, + 849178456, + -1, + -1, + 874903175, + 629477662, + -1, + 706584410, + 168236920, + 989242735, + -1, + 939240015, + 166142925, + 684715220, + 304929597, + 753035557, + 810350373, + 291214982, + 753691197, + 197374547, + 702418660, + -1, + 960963147, + -1, + 246559233, + -1, + 239715017, + 559945655, + 597161073, + -1, + 170391372, + -1, + -1, + -1, + 744333480, + 341768474, + 772325653, + -1, + -1, + -1, + 230533329, + 240133544, + 85026215, + 213770002, + 593490306, + 293525728, + 32650329, + 999623254, + -1, + -1, + 288360090, + -1, + -1, + 543999216, + 635989276, + 24066802, + 55606322, + -1, + 399746701, + 813857750, + 323380772, + 47027987, + -1, + -1, + -1, + 424197408, + 985611257, + -1, + -1, + 375223344, + 71944379, + 680135297, + -1, + 964907926, + 23121561, + 674454874, + 765121299, + 693640003, + 518959249, + -1, + -1, + 60667928, + 319241420, + 824084014, + 548836579, + 108462780, + 73147599, + 463181721, + 892280220, + 630930647, + 199355284, + 204240808, + -1, + 32102810, + 716256152, + 236868997, + -1, + 946470775, + 630258003, + -1, + -1, + 589932081, + 701379559, + 982047759, + -1, + -1, + -1, + -1, + 427029437, + 979921145, + 496008687, + 278593548, + 954955762, + 537890307, + -1, + -1, + 451820136, + 772802673, + -1, + -1, + -1, + 475199182, + -1, + 176858482, + -1, + 277655161, + 216283360, + 81339585, + 945499028, + 124300669, + 88830637, + 518937349, + 270958267, + 378954451, + 651697450, + 139486198, + 49093950, + 200591000, + -1, + -1, + 70517979, + 803032993, + 453856760, + 780048130, + 509575419, + -1, + 641595420, + -1, + 566075251, + 425567722, + -1, + 795017193, + -1, + 350794744, + 382554907, + 5742417, + -1, + 161143453, + -1, + -1, + -1, + -1, + 613554224, + -1, + 370607155, + 161381607, + 414781624, + 405778934, + 539041340, + -1, + -1, + 260415397, + 437198227, + 849057841, + 331738949, + 417558726, + 578779650, + 914340242, + 173343586, + 987299232, + 753146323, + 539589454, + 232952218, + 356502888, + 831111582, + 885652311, + -1, + 848678108, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 658782287, + 154176849, + 44586669, + 878679973, + -1, + 692616911, + 19618109, + 3479215, + 235890921, + 353961661, + 281048000, + 63485490, + 419249821, + 429181140, + 473979313, + -1, + 38250986, + -1, + 385937590, + -1, + 462794986, + -1, + 857508221, + 301837567, + -1, + 425452179, + -1, + -1, + 783188080, + 218065594, + -1, + -1, + 734813607, + 561776743, + 588566293, + 570452163, + 93904975, + 344381102, + -1, + -1, + 954571259, + 218948367, + 199348583, + -1, + 74423287, + 606859571, + 230580642, + -1, + 298615240, + 424235763, + 972700877, + 127777925, + -1, + 980177218, + 438385983, + 474060201, + 116245857, + 731899325, + 186644280, + -1, + 743754699, + 366942365, + 109465545, + -1, + 740180698, + -1, + -1, + 950968284, + 382121059, + 6043535, + 696919359, + 350639551, + -1, + 421067103, + 65237392, + 562085068, + 631985202, + 557930690, + 409540040, + -1, + -1, + 759675532, + -1, + 875142049, + 878219197, + -1, + -1, + 385029683, + 289123827, + 155814659, + -1, + 657804405, + 69511440, + -1, + 215736969, + 520817459, + 74186251, + -1, + 765729966, + 442629987, + 365781954, + 869348357, + 868633208, + 255682564, + 202702601, + 307871780, + 623521702, + 797981772, + -1, + 554671806, + -1, + 997019231, + -1, + 650802305, + 458626044, + 953120207, + 487171673, + 616261996, + 68735707, + 59754900, + -1, + 518968310, + 484495742, + 39332827, + 168212436, + 792759172, + -1, + 909162395, + 338379025, + -1, + 691786690, + 926803391, + 542213132, + 733884487, + 883489285, + -1, + -1, + 657045161, + 938212896, + 300611806, + 619775123, + 182842963, + 396414984, + -1, + 439278166, + -1, + -1, + 768925311, + 481969397, + 179396207, + -1, + -1, + 533135780, + 848240854, + 618230816, + 863462451, + 684286721, + 912639914, + 446637225, + 159265337, + 935981496, + 796659078, + 584457476, + 846562254, + 585049056, + -1, + -1, + 434232424, + 529249929, + 746554905, + 285663561, + 986362490, + 993845820, + 596618693, + -1, + 266502650, + -1, + 624751046, + -1, + 855631603, + 511994134, + 654637742, + 842636063, + 717252598, + 739931187, + -1, + 75771772, + 747462578, + 761315560, + 843314679, + 18819496, + 894979837, + -1, + 857747358, + 182160834, + 714582551, + -1, + 784592340, + -1, + -1, + 390050211, + 42952688, + 490106038, + 173848083, + -1, + 793488436, + -1, + 236310000, + 964029070, + -1, + 457785810, + 92479500, + -1, + 609036609, + 811160053, + 238873401, + 540490703, + 494982413, + 49637497, + 252062610, + 845070783, + 458902365, + 764420811, + 117499453, + -1, + 14320570, + 196850417, + 808720253, + 694422036, + 879957953, + 90573259, + -1, + 727194878, + 290419169, + 841350406, + 416198087, + 10540854, + 660445607, + 547597434, + 790870243, + 79334811, + 790437372, + 526656635, + -1, + 423567803, + -1, + 723280131, + 602345412, + 110540756, + -1, + 865324171, + 760047996, + 994592340, + -1, + 167839930, + 979140908, + 403549437, + 407329184, + -1, + 373411128, + -1, + 299839236, + 844666870, + 717992082, + 784464339, + 80376569, + -1, + 249264658, + 1538889, + -1, + 308701132, + 802855956, + 319374612, + -1, + -1, + -1, + 305483204, + 321092791, + 241793904, + -1, + -1, + 594650892, + 982516464, + 345912500, + 526428657, + -1, + 701798740, + 796872394, + 209013429, + 121785475, + 725946432, + 502118391, + 336880640, + 910315463, + 556862764, + 333321677, + -1, + 539571849, + -1, + -1, + 703778309, + -1, + 24829334, + 223377441, + 547298985, + -1, + 73734454, + 523288984, + -1, + 950022676, + 302465833, + 240809859, + 355474023, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 569338934, + 713348844, + 48566204, + 747729663, + -1, + 411434577, + 446876801, + -1, + -1, + -1, + 868018128, + 885906056, + 810875332, + -1, + -1, + 324154366, + 464113551, + 217048235, + 131924961, + 749688798, + 41352417, + 792631473, + 814827496, + 136794526, + -1, + 719993432, + 661461823, + 911644197, + -1, + 246890223, + 406086911, + 991794517, + 579923408, + -1, + 891256037, + 354092663, + 216168508, + -1, + 877542933, + 338635782, + -1, + -1, + -1, + -1, + 634842728, + 247841746, + 2247680, + 590439870, + 942432782, + -1, + 708766753, + 183445764, + 625777998, + 699272631, + 975986551, + 329465086, + 951586678, + -1, + 776902153, + 545248098, + 933422182, + 275670685, + -1, + 461584846, + 894152342, + 19770698, + 499679306, + 814697692, + 356291390, + 980969123, + 498168376, + -1, + 942865587, + 356248542, + 969845134, + 268316840, + -1, + -1, + 423620316, + 345850273, + -1, + 895640854, + 365775607, + 745062791, + -1, + 165578903, + 264794203, + -1, + 206399418, + 225435573, + 435222658, + 587085616, + 97202875, + -1, + 221317592, + 16078575, + 993842648, + -1, + 808701977, + 148875277, + 326657, + 643390211, + -1, + -1, + -1, + 543827867, + 777474864, + 207405120, + 515055311, + -1, + 228013084, + 633986747, + 282622602, + 67810741, + -1, + 952077, + 184923184, + 250938334, + 444213156, + 688409788, + 807924441, + 349681863, + -1, + 581241773, + 928211596, + -1, + 886904337, + 812717829, + -1, + -1, + 603070076, + -1, + -1, + 472132957, + 189209945, + 528148485, + -1, + 165746460, + -1, + 887975466, + 737494011, + 290046804, + 164716619, + -1, + 933649204, + -1, + -1, + 663043919, + 59399737, + -1, + 240458995, + 139513566, + -1, + 936074405, + 695155277, + 361787331, + 811828949, + 223231839, + 171994213, + -1, + -1, + 900611454, + -1, + -1, + 800022714, + 854791320, + 342441618, + 159181266, + 491482518, + 516145767, + 992986992, + -1, + 397627036, + 49419744, + 629829856, + -1, + -1, + 833381184, + 239252600, + -1, + 205211117, + 4187026, + -1, + 405194603, + 660360010, + 616798561, + 785518176, + -1, + -1, + 683899330, + 695774307, + 887049448, + -1, + 757732902, + -1, + -1, + 864160338, + 406927114, + -1, + 925770635, + 812666118, + 627609269, + 570918554, + 833915996, + -1, + 25857012, + 108717736, + -1, + 488936778, + -1, + -1, + -1, + -1, + 843158996, + 884781139, + -1, + 2126385, + 694911238, + -1, + 724526062, + 493257821, + 85680189, + 694105068, + 429097192, + 474091234, + 789262833, + 509048501, + 962462399, + 320585590, + 247186390, + 403639796, + -1, + 959615566, + 152047778, + -1, + 85202737, + 933725806, + -1, + 291708551, + 622839052, + -1, + -1, + 150237454, + 366923178, + 787095379, + 381205473, + 396226651, + 710580831, + 644552428, + 456875607, + 692505061, + 881740351, + 338112705, + -1, + 481455285, + 798973996, + 232464926, + 922090077, + -1, + 804736676, + -1, + -1, + -1, + 71236876, + 473212833, + 256626951, + 198512508, + -1, + 742811196, + 490584974, + -1, + 949385492, + 926590142, + -1, + 430917745, + 901868633, + 345074538, + 240529133, + 799706089, + -1, + 421189507, + -1, + -1, + -1, + 248555006, + 667873733, + 954671738, + 717135373, + 369213522, + -1, + 70594117, + 148823273, + 173429190, + -1, + 868019975, + -1, + -1, + 735179598, + -1, + 641861803, + 607931908, + 816835475, + -1, + -1, + 483519397, + 569402574, + 600867481, + 689695769, + -1, + 258014736, + 981411589, + -1, + 158363185, + 627411925, + -1, + 889383243, + 504375297, + 231780500, + 981137713, + -1, + -1, + 437105670, + 259408011, + -1, + -1, + 294435070, + -1, + 684765850, + -1, + 951083371, + 352980652, + -1, + 996650818, + -1, + 934147162, + 608618579, + 417087321, + 384196258, + 495418749, + -1, + 558975219, + 395423088, + 223833331, + 258196334, + -1, + -1, + -1, + 646364326, + -1, + -1, + 9106970, + 109066743, + -1, + 910343421, + 186776325, + -1, + 666486278, + -1, + 188758479, + -1, + 255199142, + 835009114, + -1, + -1, + 561106805, + -1, + -1, + 376001158, + 754187488, + 769078046, + 81422705, + -1, + 802507218, + 832144067, + 639160395, + -1, + 739496652, + 155435183, + 415254447, + 349665429, + 169812620, + 183932143, + 747663960, + -1, + -1, + 849882731, + -1, + -1, + 899587472, + -1, + 746652171, + 709028416, + -1, + -1, + -1, + 415671930, + 131572505, + -1, + -1, + -1, + 751114181, + 790040295, + 316899141, + -1, + -1, + 61263493, + 447557792, + 598216660, + 304105166, + 548877171, + 475473559, + -1, + 995592124, + 160941613, + 593215925, + 518792134, + -1, + -1, + 403323895, + -1, + -1, + 903778045, + 322486543, + 424615875, + -1, + 409303311, + 19558966, + 208492500, + 65989585, + 867080456, + 136851818, + -1, + 37624547, + 489156133, + -1, + 823245361, + -1, + 98264854, + 91764833, + -1, + 259747470, + 341263201, + 472871139, + 18081638, + -1, + -1, + -1, + -1, + -1, + 286853048, + 619058840, + -1, + -1, + 340075258, + -1, + 931743007, + 410016932, + 377353722, + 303120236, + 665022390, + 120483444, + 784437569, + 684249397, + -1, + 766729654, + -1, + -1, + 202813892, + 322592330, + 148867074, + 953378091, + -1, + 511359856, + -1, + 504894540, + 355109470, + 347864550, + -1, + 147821212, + 443025893, + -1, + -1, + 73298154, + 27586131, + 607780262, + -1, + 132132551, + 264699184, + 95421036, + -1, + 653139326, + 631733878, + 419159921, + 763761082, + 875468816, + -1, + -1, + 554809464, + 557206777, + 938656641, + 809384321, + 261228040, + 991504544, + 458804668, + 896966372, + 487892888, + 16825594, + 225431019, + 334064669, + -1, + 290043681, + 13705467, + -1, + -1, + 636624355, + -1, + 369599817, + 570598199, + 989858969, + -1, + 594047611, + 335919651, + 961304159, + 912507700, + 360004504, + 925737991, + 682963129, + -1, + 145382787, + -1, + 616688873, + 9807684, + 8064071, + -1, + 807368697, + -1, + 61432691, + 579221010, + -1, + 925549333, + 821556444, + 488042592, + 253871157, + -1, + 367647420, + 807845679, + 22467628, + 284027966, + 451830789, + -1, + 671145043, + -1, + 354359025, + -1, + -1, + 141290875, + 991965908, + -1, + 692922781, + 167305934, + -1, + 837202481, + 248380087, + -1, + 870439646, + 725513876, + 197373741, + 447933547, + 663356746, + 76000086, + 557401291, + -1, + -1, + 991867386, + 617824175, + 325559553, + 680181804, + 815570704, + 29740866, + 112182888, + 411313276, + 582645384, + -1, + 421384020, + 414633715, + 292207252, + 41984795, + 817723323, + 5531169, + 179668904, + 594074960, + 449135157, + 139274757, + -1, + 905374830, + 839176646, + 361002458, + 79207319, + 224469251, + 414125574, + 994509704, + 549265564, + -1, + 465019525, + 292507697, + 106264146, + -1, + 913132965, + 751645610, + 66302454, + 220958199, + 484352916, + 118596459, + 966825262, + -1, + 188087773, + -1, + 121308247, + -1, + 633228539, + -1, + 821586071, + 389069950, + 600480152, + 535724036, + 930050383, + 372969593, + 980568735, + 450962708, + -1, + 572980455, + 964181534, + 345390814, + -1, + 790475799, + 682825232, + 751985931, + 823105014, + 154777961, + 833622360, + -1, + 961400918, + -1, + -1, + 670648353, + -1, + -1, + -1, + 141313470, + 859404966, + -1, + -1, + 688604774, + 613400239, + 44919210, + 866479490, + -1, + 217813507, + -1, + 708103886, + 331069977, + -1, + 796549727, + -1, + -1, + -1, + 291949853, + -1, + 943760321, + 165814559, + 470217420, + 361204425, + 391068526, + 163985298, + 416467465, + 709099783, + 437791303, + 463718387, + 802266904, + 790540376, + -1, + 195241141, + -1, + -1, + 336312966, + 875391726, + 469084466, + -1, + 369076299, + 591709511, + 799530620, + 798880020, + 559316147, + 139144346, + -1, + 420427492, + 237620703, + -1, + -1, + 47224103, + 804897519, + -1, + 887784436, + 55621098, + 53047130, + 645498420, + 164640154, + 438938749, + 447753021, + -1, + -1, + 872599906, + 303591799, + 66699179, + -1, + 604425967, + 97787462, + 998667279, + -1, + -1, + -1, + -1, + -1, + -1, + 628335567, + -1, + 902279616, + 141667781, + 367488530, + 110452010, + 970746843, + 857037773, + 349961299, + 761585916, + -1, + -1, + 917205181, + 684673976, + 462645030, + 494268313, + -1, + 135976411, + 789648114, + 189563896, + 19846440, + 76413936, + 97115922, + 998113592, + -1, + 377590338, + 331650596, + -1, + 192506582, + 88614088, + 326471936, + 90868179, + 21349605, + -1, + 990123807, + 882182343, + 972602572, + 19703439, + 546204579, + -1, + 516053945, + 294645851, + -1, + 12792555, + -1, + 55741576, + -1, + 320853427, + -1, + -1, + -1, + -1, + -1, + 948711924, + 338286025, + 736840498, + 947069692, + 636713988, + 360756026, + 511156145, + 693130429, + 474044456, + -1, + 949119515, + -1, + 515025524, + 223928991, + 838473781, + -1, + 794973830, + -1, + -1, + 393454669, + -1, + 382255908, + 42272746, + 469552089, + -1, + 497537747, + 2341498, + 886595751, + -1, + 351037461, + -1, + 187756535, + -1, + 38916260, + 884368136, + 986970875, + 475725034, + 159612344, + 470614310, + 937978398, + 399576032, + 831251003, + 386948730, + 924485209, + 636576602, + -1, + 989908920, + -1, + -1, + 830605924, + -1, + 369765686, + 387778189, + -1, + 644033926, + 708598866, + 648280860, + 555258950, + 697563171, + 80459348, + 819974252, + 464573719, + -1, + -1, + -1, + 372192461, + -1, + 457169953, + 406216633, + 659333113, + 226703315, + 824008764, + 803403481, + 214412320, + 594937777, + -1, + 262753308, + 319007353, + 792571444, + 894995938, + 832429094, + -1, + -1, + 79658269, + -1, + 621361136, + -1, + 117126671, + 174994052, + 763372496, + 36032872, + 99049950, + -1, + 495423358, + 140731721, + -1, + -1, + -1, + 156696444, + 103709025, + 859798770, + 103269402, + 638077199, + 852441827, + 897121964, + 205376087, + -1, + -1, + 800733003, + -1, + 268893542, + 32598615, + 135473689, + 12362964, + 139754259, + -1, + 302698713, + -1, + -1, + -1, + 241962922, + 426660807, + 452515288, + 206659719, + 635264623, + -1, + 285617443, + 216062556, + 91526770, + 798388335, + -1, + 837679909, + 379584761, + 262988219, + 378761708, + 784321742, + 336856638, + -1, + 540685284, + -1, + -1, + 69558122, + 486039587, + 883621401, + 218394247, + -1, + 561362782, + 80179567, + 586458227, + 381841732, + 657088028, + 6423534, + 526072618, + 32469303, + 774865889, + 87336508, + 491477153, + -1, + 131573253, + 213092464, + 772837401, + -1, + 990566764, + -1, + -1, + 249861301, + 175649919, + 327125526, + 844083659, + 819215874, + 505364186, + -1, + -1, + 467228551, + 573581757, + -1, + -1, + 351293652, + -1, + -1, + -1, + -1, + -1, + 513470813, + 473296497, + 347115715, + 192792944, + 426561345, + 517855240, + -1, + -1, + 866008387, + 254268852, + 295046033, + 630460788, + 561111836, + 69481572, + -1, + -1, + -1, + 262708540, + -1, + -1, + 38828826, + -1, + 407807126, + 378111055, + -1, + 444609557, + 562580135, + 601888574, + 4831043, + 100625867, + -1, + 536302482, + -1, + 506315610, + 668067667, + 102570530, + 513721461, + -1, + 509240022, + 234476483, + -1, + -1, + -1, + -1, + -1, + 469676107, + 757088693, + -1, + 570751644, + 384872029, + 130618437, + -1, + 15023616, + 251596077, + 263241686, + 121499168, + 112445568, + 697807826, + 147794823, + -1, + 193039379, + 463534124, + -1, + 831004563, + 637839496, + 238044292, + 266943783, + 574178048, + 978692135, + -1, + 825257520, + 245835626, + -1, + 276475446, + 874262894, + 65413779, + 788559836, + 188662719, + 444272243, + -1, + 667172687, + 649623527, + -1, + 723934100, + -1, + -1, + -1, + 703724747, + -1, + 628158446, + 24150870, + 891695642, + 640417107, + 67395686, + -1, + 522567078, + 57173590, + 993504977, + 135627639, + 548502895, + -1, + 213120367, + 486883230, + 877076131, + 484957266, + -1, + 104003459, + 708809817, + -1, + -1, + -1, + 396318550, + 137133948, + -1, + 831837724, + 131826184, + -1, + -1, + -1, + -1, + 823779746, + -1, + 777762452, + 798563008, + 393321908, + 428542098, + -1, + 806886704, + -1, + -1, + 751710873, + 6237241, + -1, + 315500378, + 528244300, + 379404890, + -1, + 207811876, + 177162601, + -1, + 848938289, + 173733618, + -1, + 960028806, + -1, + 121501405, + 661089843, + -1, + 15137423, + 355020359, + 122936259, + 714821095, + -1, + 803177381, + -1, + 116793640, + 592483803, + 174807181, + 136146195, + -1, + 790369225, + 627050075, + -1, + 410470330, + 292197991, + -1, + 493390848, + 716496916, + -1, + -1, + 579204571, + 321992853, + -1, + 290944984, + 507606826, + -1, + 500598992, + 747278335, + 866462635, + 776720671, + 495979048, + 775101476, + 771738100, + 937719601, + 260591318, + 85192941, + 92303639, + 890026457, + 395676273, + 363524132, + 275619679, + 525558595, + -1, + 410311267, + -1, + -1, + 795312473, + 373223636, + -1, + 525988974, + 448755932, + 58924247, + -1, + 374882118, + -1, + 950708107, + 109275424, + 646594809, + 457528565, + -1, + 505608155, + 60089939, + 884752363, + 927706878, + 664955166, + 325121159, + 951489307, + 594646771, + 64239464, + 105720652, + 287919364, + 822794781, + 79190855, + 521608783, + 555031858, + 361263058, + 157973883, + 101904304, + 87018019, + 399307089, + 305154065, + 772945363, + 790085925, + 242686461, + 6744853, + 980614162, + 964377039, + 709732741, + 613185034, + 543065063, + 433490786, + -1, + -1, + 767466168, + 974900693, + -1, + 573230257, + 742182960, + -1, + -1, + 922932637, + -1, + -1, + 886283103, + 28412821, + -1, + 836608093, + 474788888, + 451938910, + 406518370, + -1, + 524857612, + 877684101, + 585406606, + -1, + 273187010, + 110819057, + 938524359, + -1, + 50161932, + 878831461, + 265220240, + 68554974, + -1, + 597197877, + 306253115, + 597811987, + 726870995, + 297029456, + 619798497, + 973312711, + 525283183, + 204326098, + 625594796, + 546291701, + -1, + 227813259, + 247854962, + 452856786, + 999332124, + 349691324, + 265104251, + 372802587, + 46698479, + 146822807, + -1, + -1, + 966902100, + 462301679, + 855057294, + -1, + 621225232, + 868106864, + 82549572, + -1, + 434130460, + -1, + -1, + 226332560, + 71535577, + 239521009, + -1, + 124629002, + -1, + -1, + 353525240, + 9566298, + -1, + -1, + -1, + -1, + 917130960, + 19571905, + 995565697, + 790436175, + -1, + 105203837, + -1, + 874107681, + 473703522, + -1, + 669362147, + 216116622, + -1, + 567409732, + 837099516, + 935279404, + 446410209, + 67872687, + 258489045, + 526859917, + 574929785, + 998860974, + 694572093, + 687460659, + 353841860, + -1, + 818633241, + -1, + 931848494, + 349442174, + 175347394, + 358503885, + 801527063, + -1, + -1, + -1, + 333435334, + 210182519, + 695270738, + -1, + -1, + -1, + 239692547, + -1, + 234224323, + 251057497, + 516976318, + 876333937, + 74721315, + 421276486, + -1, + -1, + 514832715, + 789454005, + 153849960, + 49183277, + 521343073, + 641020603, + -1, + -1, + 440903613, + -1, + 137403849, + 345676765, + 467557822, + -1, + 218677661, + 785840857, + -1, + 285614316, + 427502299, + 252228622, + 848206683, + 624797228, + -1, + 312355590, + 710133991, + 81814821, + 860249249, + 800396914, + 805124494, + 488334762, + 234865874, + 971248441, + 56711163, + 75526194, + -1, + -1, + 272209081, + -1, + -1, + 471698807, + 324809687, + -1, + -1, + 289875799, + 284115143, + 33752145, + 332216579, + 479999634, + -1, + 656412492, + 270330427, + 302529633, + 272327888, + 108539033, + -1, + -1, + 527328657, + 128814045, + -1, + 625002949, + -1, + 35790111, + -1, + -1, + 172141790, + 89750103, + -1, + -1, + 830651336, + 895751546, + -1, + 115028036, + 921921968, + 955224725, + 264317742, + -1, + 98870428, + 926484611, + 509242781, + -1, + 258907386, + -1, + -1, + 732893303, + 600202946, + -1, + 459607234, + 877495947, + -1, + 818391357, + 638711763, + 219094206, + -1, + -1, + -1, + 937236407, + 450570736, + -1, + 879876423, + 404734150, + 309614748, + 75410075, + -1, + -1, + 671567810, + 314622170, + 742751789, + 533679501, + -1, + 917338579, + -1, + -1, + -1, + 416614560, + -1, + 696058701, + -1, + 504304061, + 286275181, + 470047220, + -1, + 86980659, + 612396924, + 377866714, + 213266599, + 468362888, + -1, + 128345446, + 570170689, + -1, + 555679301, + 878028205, + 65589008, + 497806151, + -1, + -1, + 253121626, + -1, + 157126390, + -1, + 942639036, + -1, + 339762637, + 120853509, + 556045823, + -1, + 29987862, + 278132765, + -1, + 819824925, + -1, + 177176645, + 466046575, + 405222369, + -1, + 579946378, + 577781209, + -1, + 847199861, + 954883715, + 517322274, + 230688553, + 983525888, + 485497208, + 782378549, + 369781487, + -1, + 674171627, + 327955858, + 858348957, + 742112446, + -1, + 742342407, + 217974125, + -1, + -1, + -1, + 231670403, + -1, + 658631655, + 516415741, + 21889537, + -1, + -1, + -1, + 349142358, + 867684429, + 459854558, + -1, + 407637437, + -1, + 75294281, + -1, + 782701303, + -1, + 619804870, + 896139933, + 637967535, + -1, + 297766601, + -1, + 853051883, + 800490247, + 403006976, + 934508304, + 64794480, + 513394812, + 476851637, + 275829663, + 59247094, + 78578390, + 350092107, + 592852602, + 336307722, + 752580171, + 629991770, + 813320918, + -1, + 682959557, + 919624222, + 349875030, + 777451774, + 78238727, + 729662614, + -1, + 357256005, + 192184796, + -1, + 493559606, + -1, + 101860493, + 905021986, + 664802791, + 897560289, + 211424910, + 840637515, + -1, + 274597896, + 353010968, + 104860151, + 913348999, + 24843582, + -1, + -1, + -1, + 79045984, + -1, + 156139746, + -1, + 753250947, + 504889174, + 947077051, + -1, + -1, + 89716611, + 814951938, + -1, + 346105405, + 4618988, + 123625495, + 98514471, + -1, + 101093408, + 17641280, + -1, + -1, + 92697285, + 708269637, + -1, + -1, + 23228164, + 87605668, + 130169242, + 159336163, + -1, + 714267825, + 63936948, + 785438509, + -1, + -1, + -1, + -1, + -1, + 587186792, + 644608338, + -1, + -1, + -1, + -1, + 911265375, + 32639438, + -1, + 882916696, + 342568925, + -1, + 417783522, + 482990570, + -1, + -1, + 206760093, + -1, + -1, + -1, + 174139755, + 161011945, + 617781564, + 565470576, + 461101393, + 864527968, + -1, + -1, + 730518031, + -1, + 355645722, + 458651971, + 600782900, + 102434762, + 104107197, + -1, + 907873019, + 69690658, + 42834592, + 238582348, + 69091068, + 126066389, + -1, + -1, + 663313028, + 757167951, + 533660819, + -1, + -1, + -1, + 542630660, + 29144602, + 992215405, + 145784124, + 627856692, + 89791439, + -1, + 544219990, + -1, + 69261852, + 99200496, + -1, + -1, + 697303308, + 559726579, + 242886279, + -1, + 143607521, + -1, + -1, + 339407911, + 592150602, + -1, + 135271238, + 155897287, + -1, + 549364109, + 433316628, + 268669683, + 321830849, + -1, + 48983211, + 289957670, + -1, + 314754608, + -1, + -1, + -1, + 746704023, + -1, + 158641576, + 688668481, + 197386424, + 636155529, + -1, + 427816042, + 554025466, + 281596146, + -1, + 95083706, + -1, + 97909534, + -1, + 577359863, + 640949662, + 451421478, + 889736772, + 597052800, + -1, + -1, + 949311600, + 120769797, + 302594191, + 726206038, + 784282266, + 441810390, + 238937536, + 574199561, + 354289845, + 568339306, + 934506289, + 329045898, + 977898838, + -1, + 72553547, + 971500703, + -1, + -1, + -1, + 216008188, + 183753418, + 33663666, + -1, + 662362988, + -1, + 446004805, + 944321757, + 57211784, + -1, + -1, + -1, + -1, + -1, + 975378476, + 419244426, + -1, + -1, + 57905965, + 525586511, + -1, + 329183811, + 881510648, + 831447144, + 300931921, + 501081312, + -1, + 48629112, + -1, + 173446371, + 573122787, + 972910478, + 977148836, + 2167790, + -1, + 822261621, + 460376111, + 464824037, + 329299246, + 770457341, + -1, + 30055446, + -1, + -1, + 320241957, + 397806896, + 687974422, + 8188845, + 818548258, + -1, + -1, + -1, + -1, + -1, + 131506728, + 769741303, + -1, + 689947622, + 950185741, + 775810386, + -1, + 652774141, + 263178338, + 749990332, + 370068707, + 678390427, + 64072412, + 944132824, + 963358178, + -1, + 704631470, + 661167500, + 282739511, + -1, + 752731160, + -1, + 623461108, + 717961208, + 313995426, + 744289916, + -1, + 615723659, + 315825076, + 266258254, + 910763277, + 563385605, + -1, + -1, + -1, + 347596458, + 890276125, + 157520938, + 113112862, + 261703032, + 352803408, + -1, + 224054344, + 985598794, + 494054411, + 533112595, + 508094220, + -1, + 886446239, + -1, + 504877574, + -1, + -1, + 392636696, + 583897719, + -1, + 674831362, + -1, + 221094348, + -1, + 210605891, + 491635912, + 599589957, + -1, + 417204109, + 903296830, + 463787933, + 893793320, + -1, + 262437371, + 743721750, + -1, + 484272890, + 158633531, + 158894167, + 144601920, + -1, + 927531349, + -1, + 655077447, + 637078417, + 825245925, + -1, + 645472605, + -1, + 803138411, + 216744269, + 679337961, + -1, + 547877119, + 909555209, + -1, + 117518986, + 611421255, + 504838451, + -1, + 737421866, + 387349099, + 443185608, + 788417631, + 497432182, + 164912801, + 576108296, + 113049323, + 484256724, + 40815986, + 655280190, + -1, + 46707979, + -1, + 617336388, + 745279434, + -1, + 617093202, + 452222917, + 786850124, + 915110691, + -1, + -1, + 412625268, + 303091955, + 259018490, + 395915530, + 222602968, + -1, + 331857623, + -1, + -1, + 235206714, + 206242230, + 191793853, + 476022117, + 484099157, + 960318918, + 199732223, + 196787330, + 974151806, + 877538376, + 172310012, + 460427740, + 489497314, + 106376473, + 483265375, + 279063441, + -1, + 788917382, + 967898854, + 26789234, + -1, + 445051277, + 101918962, + 554625204, + -1, + -1, + 313793304, + -1, + 965868375, + 258728224, + 386584831, + 998860585, + 118819429, + -1, + -1, + -1, + -1, + -1, + -1, + 485688251, + 256773796, + 822397221, + 414078606, + 232255047, + -1, + -1, + -1, + 168203905, + 384838194, + 454759984, + 592348054, + 450666494, + -1, + 365686979, + -1, + -1, + 888365259, + -1, + 374091015, + 960207935, + 509331915, + 284635610, + 814732688, + -1, + 353297617, + 347947149, + 693142212, + 649547605, + 473509073, + 459391185, + 438929094, + 141283955, + 860540820, + -1, + 823265165, + 523677162, + -1, + -1, + -1, + 813810577, + -1, + -1, + 903479855, + 290562099, + 804709404, + -1, + 311308963, + 215492011, + 858941107, + 345712809, + 63286461, + -1, + 892987188, + -1, + -1, + -1, + 751579245, + 94653333, + 414299399, + 544471816, + -1, + 34010710, + -1, + 771271158, + -1, + 28486678, + 777909804, + -1, + -1, + -1, + 344368967, + 559004585, + -1, + 810275170, + 398833476, + 670637095, + 558717216, + 397556166, + 428634167, + 350360984, + 995482294, + 103602953, + -1, + -1, + 180037195, + 571610818, + 930574834, + -1, + 903730623, + -1, + 634499802, + 842665875, + 215491158, + 840664530, + -1, + 46085732, + -1, + -1, + 630598752, + 109267915, + -1, + -1, + 950345204, + -1, + 558363883, + 536385818, + 721376751, + -1, + 88474204, + 967688476, + 261620611, + 933218135, + 868769816, + -1, + 440610182, + 776725569, + -1, + 621235705, + 468150795, + -1, + 820197703, + -1, + 34845092, + 136261507, + 465434806, + -1, + 154727823, + 282828965, + -1, + 460242483, + -1, + 431344468, + 48110502, + 943595349, + 712407056, + 830584608, + 865152566, + 519765307, + 633267744, + 638868604, + 696448179, + -1, + 688854433, + 652680847, + 201633200, + 616975405, + 181700608, + -1, + 807614653, + -1, + 996687838, + 722665740, + 182438196, + -1, + -1, + -1, + -1, + 359225912, + -1, + 549556741, + -1, + -1, + -1, + 832541499, + 6861548, + 286749169, + 123372733, + -1, + 486356664, + 192609225, + 344002279, + 978969682, + 554109349, + 257801925, + -1, + -1, + 772497991, + 92122696, + -1, + 73518257, + -1, + 860657432, + -1, + 761421487, + -1, + 324166526, + -1, + 512463826, + 171453150, + 331558801, + 851460387, + -1, + 60882117, + -1, + 869709634, + 690059972, + 709419189, + -1, + 685421092, + 335149363, + -1, + 75379767, + 199012164, + -1, + 753540152, + 884872974, + 357232611, + 182682966, + 948808505, + 207072, + 696098167, + 32397509, + 938153551, + 497483418, + 703366706, + -1, + 967057564, + 501669168, + 670417973, + 417425390, + 414321657, + 818881112, + 21508922, + 88384887, + 316772393, + 870970408, + 118383054, + 416049742, + -1, + 673530896, + 650662075, + 51994860, + 130802772, + 628436453, + 350731262, + 353515304, + -1, + 622703840, + -1, + 297362528, + 130199210, + 388395559, + 665044907, + 312722194, + 891086845, + 30167624, + 826212100, + 470921296, + 456043629, + -1, + -1, + 834489379, + -1, + -1, + 650982035, + -1, + 413335979, + 669225631, + 185520503, + 377338103, + 31854263, + 208796420, + -1, + 132919707, + 451196513, + 27763308, + 163787139, + 787575528, + 275670940, + 795394581, + -1, + 479618094, + 157344000, + 820228692, + 344897766, + 449110417, + -1, + -1, + -1, + 180409353, + -1, + -1, + 961687735, + 385383154, + 574746959, + -1, + 941529691, + 221540346, + 769042391, + 473077917, + 238112935, + 705946750, + 778764001, + 942141885, + -1, + 599078722, + 32688508, + 761500331, + 807559333, + 814837134, + 289286047, + 897873359, + 1222709, + -1, + 818313037, + 409591365, + 269398913, + 18941804, + 814479641, + 678762564, + 749424395, + 127710289, + 484978011, + 973005129, + 720159601, + 454207952, + -1, + 143831636, + 334436594, + 974136879, + -1, + 381345581, + 518465464, + -1, + -1, + 335098439, + 469660743, + 867208622, + 341160018, + 590998566, + 280218370, + -1, + 109371074, + 463423649, + 776656791, + 748677945, + 298762914, + 957005425, + -1, + 692037742, + 535092296, + 10336183, + 518830871, + -1, + 244302795, + -1, + 540107072, + 241833157, + 980926672, + -1, + -1, + -1, + 610373821, + 299783904, + 652306919, + -1, + -1, + -1, + -1, + 384676422, + 919813738, + 597546569, + -1, + 952325967, + -1, + 39729937, + -1, + -1, + -1, + -1, + -1, + 312362590, + 885773382, + -1, + 232768952, + -1, + -1, + 930237416, + 246666494, + 673017878, + 759141909, + 718112171, + 739980920, + 883264500, + 570972330, + -1, + 16298209, + 278839271, + 713138766, + 259411287, + -1, + 539254941, + 183270265, + -1, + 435956181, + -1, + -1, + 89081001, + 252069717, + 245615529, + -1, + 957353249, + 277784421, + 507027725, + -1, + 633503014, + 339391371, + -1, + 341001080, + -1, + 322915961, + 51094050, + 718521776, + 735317613, + 428585790, + -1, + 379974687, + -1, + -1, + -1, + -1, + 567480175, + 350900947, + -1, + -1, + -1, + -1, + -1, + -1, + 533686359, + 839963543, + 212491664, + 492442361, + -1, + 194464241, + -1, + 644063373, + 169462495, + 512132861, + 358314945, + -1, + 339854779, + 731619079, + -1, + -1, + 923011658, + 607663599, + 393809616, + 442717271, + -1, + 184738851, + 345454223, + -1, + 365259526, + 682003962, + 658388160, + 397339425, + 862203450, + 666122279, + -1, + 950660350, + 132945601, + 493554034, + 574346101, + 530250754, + 736825967, + 405813832, + 167016686, + -1, + -1, + -1, + -1, + 271955371, + 629414081, + 184372676, + 379623715, + 881059318, + 800364541, + -1, + -1, + -1, + 583631943, + -1, + -1, + -1, + 992344076, + 824702040, + -1, + 810664864, + 803629409, + -1, + -1, + 201262494, + 773323977, + 772466183, + -1, + 859210538, + 636860436, + 723487464, + 566592040, + 165169346, + 64746434, + 283731998, + 819512666, + -1, + 273250777, + -1, + 363487441, + 57596048, + 200946771, + 293983725, + -1, + 628249292, + 584246899, + 328929542, + -1, + 582714756, + -1, + 274933376, + 633348746, + 991328528, + 869621499, + 756715391, + 184808725, + 795845845, + 942132903, + 930568010, + 283614826, + 825369502, + 764011286, + 932210363, + 581786246, + -1, + 990807833, + 402738099, + -1, + 677101320, + 989994927, + 776266350, + 499850863, + 417704640, + -1, + 521790076, + 556711770, + 934919828, + 972450565, + 104644858, + 966925479, + -1, + 84607646, + -1, + -1, + 257172935, + 553379071, + 696510920, + -1, + 56394926, + -1, + 577148770, + -1, + 494040929, + -1, + 730566913, + 742010720, + 972364571, + 895924615, + -1, + 127524048, + -1, + -1, + 810175482, + 284746152, + 279042004, + -1, + 371285329, + 336093543, + 574259092, + 214116066, + 887423859, + 429686449, + -1, + 141476602, + -1, + 84486710, + 100075212, + 185607134, + -1, + 397057884, + 7609718, + 473656471, + 768283130, + 515096296, + -1, + 647321535, + 608327659, + 779269819, + 894385897, + -1, + 219193319, + -1, + 704440110, + 206402819, + 863301138, + 763369011, + 467988683, + 899316869, + 388864514, + 501551607, + 868082767, + 394653240, + 254551595, + 165344232, + 425410695, + 405538281, + -1, + 832853730, + 820294298, + 949749175, + 987655842, + 667015776, + 610084472, + -1, + -1, + 742550131, + 16474658, + 484063552, + 709592119, + -1, + 22424062, + 840691305, + -1, + 411927496, + 224623696, + 514142449, + -1, + 357523592, + -1, + 972174406, + -1, + -1, + 591267809, + -1, + -1, + 811922742, + 412586701, + -1, + -1, + 41099668, + -1, + 365068114, + 481344512, + -1, + 557527296, + 142089822, + -1, + 191229654, + 345532180, + -1, + 246215506, + -1, + 567107893, + 382861185, + 915705951, + -1, + -1, + 80716747, + -1, + 638216364, + -1, + 339787682, + 235554860, + 226383964, + -1, + 868400582, + 39833207, + -1, + -1, + 551001811, + 67287285, + 641777318, + -1, + -1, + 108544027, + -1, + 365808517, + 334323991, + -1, + 80216335, + 213965604, + 344507250, + 481341279, + -1, + 160370765, + 109006662, + 170015624, + -1, + 978758660, + 69485662, + 192859188, + 22694362, + 648502378, + 728754870, + 752964345, + 715091603, + 490994911, + -1, + 591258887, + 571079873, + 713149074, + -1, + 166691972, + -1, + 315581283, + -1, + 978213058, + 399319520, + 384319621, + 123871937, + 77875628, + -1, + 590746471, + 669211061, + 280822703, + 97592661, + -1, + 636200268, + 577097283, + 586988018, + -1, + 513077971, + 9819046, + -1, + -1, + 490388014, + -1, + -1, + -1, + 434321418, + 778098621, + 914117272, + 894550246, + 395291644, + 339696859, + 250323266, + 542158055, + -1, + 345056975, + -1, + 981741771, + 516906080, + -1, + 49033031, + 665031634, + 399274050, + 669727469, + 223899702, + 577588446, + -1, + 910505087, + 664498568, + 846866041, + 295752980, + 768477087, + -1, + -1, + -1, + 293386536, + 311826890, + 212525405, + -1, + 162620179, + 69425846, + -1, + 199737973, + 800010275, + 463739495, + 360353117, + 453940421, + 453003665, + -1, + 937975957, + -1, + 838323432, + 604962138, + -1, + 408832576, + -1, + -1, + 447436733, + -1, + -1, + -1, + -1, + 537769029, + -1, + 899038782, + 393649050, + 803076932, + 673885712, + 1107295, + 675558677, + -1, + 115652054, + 129982757, + 238187335, + 280994137, + 652138446, + 494141075, + 576207713, + 830583616, + -1, + -1, + 653314321, + 378876777, + 918732556, + 893364124, + 783575681, + 73313195, + -1, + 990287487, + 999239636, + 178506142, + -1, + 911588218, + 146308706, + 501166287, + -1, + 228426755, + 610104434, + 739620438, + 896602170, + -1, + 382941320, + 468073438, + -1, + 1134789, + -1, + 711306295, + 391918645, + -1, + 707598714, + 791392632, + 842808243, + 494570189, + 613544526, + -1, + 589529737, + 564633016, + -1, + 844273125, + 791268450, + -1, + 183239626, + 380697440, + 844485791, + 995924441, + 866374840, + -1, + 326795349, + 564086019, + -1, + -1, + 68433461, + 837348576, + 241204420, + -1, + 949295493, + 816930469, + 765319134, + 141887901, + 280767168, + -1, + 594887921, + 222769621, + -1, + -1, + 594754018, + 480975572, + 426009786, + -1, + 770494027, + -1, + -1, + 346404686, + -1, + 260387307, + 481274466, + 730663471, + 112768346, + 111006844, + 288059446, + 85521811, + 985971723, + 314871075, + -1, + 818527160, + 499612077, + 725614368, + -1, + -1, + 128860380, + 791461372, + -1, + 856934875, + -1, + -1, + 577543123, + 939074195, + 652840, + 233769277, + 157338998, + 891130369, + 830816090, + -1, + 242171030, + 211243795, + 401719280, + 278969745, + 457019107, + 355241050, + -1, + 722919961, + 575084278, + -1, + 58066803, + 902575995, + -1, + 828495271, + 39016063, + 580036889, + -1, + -1, + 512161194, + -1, + 200924170, + 720618803, + 434001501, + 173603189, + 309705387, + 510376367, + 434607502, + 832631676, + 611926915, + 697250232, + -1, + 746888166, + -1, + 163492871, + 678016903, + 399991325, + 729007907, + -1, + 443214596, + -1, + 870180076, + -1, + -1, + 505239703, + 760615006, + -1, + 554997336, + 15745646, + 745910413, + 302685647, + 130961151, + 33939039, + 419313226, + 47402814, + 342181171, + 570717118, + 246309890, + 347398750, + 650681044, + -1, + 12555092, + -1, + 60521400, + -1, + 599306450, + -1, + 196814132, + 523807587, + -1, + -1, + 721899019, + 244236189, + 266234319, + -1, + -1, + -1, + 871168342, + -1, + 309577858, + 653492588, + 705807177, + -1, + 584795197, + 13008887, + -1, + 179688240, + -1, + 615419434, + 639088224, + 507819014, + 194492768, + 417477966, + 598428099, + -1, + 274855297, + 746534429, + -1, + 24048758, + 739198820, + 250302247, + 998054110, + 127529030, + 435753899, + 123797118, + 140107154, + -1, + 870211923, + 551546835, + 746215219, + 310454227, + 114036313, + 89085348, + 904978719, + 600291937, + 320460772, + 292157239, + 682363713, + 265398667, + 569267423, + -1, + 93778937, + 509100368, + 478256978, + -1, + 495561088, + 116351785, + 245704042, + 546918255, + 878805119, + 791309303, + -1, + 389758390, + 455830834, + 701145650, + 75116847, + -1, + 182496894, + -1, + -1, + -1, + -1, + 692876108, + 958498202, + 520319452, + 290513644, + -1, + 650211717, + -1, + 184174330, + 857626175, + -1, + 135601852, + 444425177, + 341177332, + 254658517, + 460559203, + -1, + -1, + 84220117, + 133209434, + 68919397, + 851564496, + -1, + 285360450, + -1, + -1, + 764937962, + 309200630, + -1, + -1, + 48513861, + -1, + -1, + 578592716, + 510724548, + 47380801, + -1, + -1, + 444926312, + -1, + 26670280, + -1, + 524646991, + -1, + 365897850, + 960479390, + 11256198, + 717423070, + -1, + -1, + 241573744, + -1, + 353058960, + 252815645, + 24759043, + 346974502, + 724262761, + -1, + 654305787, + 439273694, + 416261330, + 58503446, + 972527325, + 21677896, + 922242374, + -1, + -1, + -1, + 61932833, + -1, + -1, + -1, + -1, + -1, + 542720328, + -1, + 104104006, + 264408649, + -1, + 275726311, + 358003693, + -1, + 13081565, + 712746366, + 531606496, + 29876501, + 23390269, + 800191819, + 832951898, + 917350726, + 788792430, + 573303980, + -1, + 248764539, + 409697101, + -1, + -1, + -1, + 687695455, + 435585249, + 839890806, + -1, + 450779816, + 157808807, + -1, + 250291593, + 49384343, + -1, + 377896587, + 344097418, + 850634340, + 467385919, + 874273098, + -1, + 241941476, + -1, + 868183578, + 769872777, + 144854359, + 580252312, + 357468723, + 357059173, + 29371914, + 121035275, + 502276419, + 656203611, + -1, + 425022803, + 767766662, + 732821607, + 739583396, + -1, + -1, + -1, + 230466153, + 922748381, + -1, + 204907118, + 66574781, + 46953102, + -1, + -1, + 203227300, + 236840050, + 194852193, + 160171298, + 440764198, + -1, + -1, + 293406608, + -1, + 425759062, + -1, + 767485839, + -1, + -1, + -1, + 721503441, + -1, + 286537133, + 610576117, + -1, + 922555084, + 97926964, + 638377369, + -1, + 91925541, + 345880804, + 912518885, + 72743549, + 454137202, + 883273294, + 706655715, + 509400866, + 927512639, + 97849084, + 692898095, + 357749622, + 294247967, + 892967023, + 639070103, + 602190868, + 205018620, + -1, + 708817994, + 893644561, + -1, + 713967071, + 290190815, + 327470266, + 915443803, + 729400710, + -1, + 847014550, + -1, + 44082838, + 335384005, + -1, + -1, + 10810132, + 717164490, + -1, + 445370273, + -1, + 57139305, + 821730571, + 90092979, + 858691756, + 728174781, + 642579839, + 265744266, + -1, + 542155777, + 504519017, + 105062881, + 805746707, + 165731560, + -1, + 390520871, + -1, + -1, + 166253294, + -1, + -1, + -1, + 302810211, + 805164976, + 790132390, + -1, + 410912751, + 48928123, + -1, + -1, + 649703251, + 732221722, + 843214709, + 991631481, + -1, + -1, + 150111659, + 233117988, + -1, + -1, + -1, + 140696544, + 827003332, + 676156625, + -1, + -1, + 39019405, + 83628425, + 744623367, + -1, + -1, + -1, + -1, + -1, + -1, + 892461524, + -1, + 156777521, + 860209252, + -1, + 968066085, + -1, + 344645273, + -1, + 943093318, + -1, + -1, + -1, + 755610361, + 281821061, + 105066855, + 894283713, + -1, + -1, + -1, + 867911454, + 511096698, + 279844232, + 976993910, + 370302068, + 692016228, + 794097707, + 380072642, + 14332477, + -1, + 157738418, + 543805568, + -1, + 320319145, + 9225327, + 30781570, + -1, + 626499496, + 886989757, + 761216662, + -1, + 199178949, + 318902662, + 375396951, + -1, + 700125065, + 439408401, + -1, + 253970539, + -1, + 298913935, + 639833307, + -1, + 533917553, + 135515423, + 840714632, + 532177715, + -1, + 643284663, + 409662083, + 974180014, + 23272226, + -1, + 564816798, + 552662103, + 79151651, + 522362680, + 638874339, + -1, + -1, + 438815988, + 815320069, + 353326669, + -1, + -1, + 148952027, + 536963207, + 684266009, + 86102148, + 442435965, + 569920465, + -1, + 63959685, + 531164726, + 593270546, + 438331590, + 179455951, + -1, + 738445397, + -1, + 375501860, + -1, + 551815928, + 265956025, + -1, + -1, + 861979555, + -1, + 56393290, + 641734190, + 462917711, + -1, + 480348069, + 366857961, + -1, + 494822680, + 960026850, + 575130163, + 67277214, + 113950044, + 397553612, + 295030982, + -1, + 863379271, + -1, + -1, + -1, + -1, + 178399584, + 227007381, + 222593911, + 18190489, + 407943838, + 606388873, + 514318373, + 988524677, + 839159530, + 156142777, + -1, + -1, + 581345460, + 677063933, + -1, + 456173527, + -1, + 48588043, + 942810669, + 297312725, + -1, + -1, + -1, + 335010837, + 836932189, + 743631533, + 901418325, + -1, + 614641164, + 232133166, + 905789029, + -1, + 339481972, + 785894727, + 223537231, + -1, + 839017907, + -1, + 139971510, + -1, + -1, + 144966661, + 698832204, + -1, + 488733247, + 596850371, + 146332446, + -1, + 916296383, + 564182875, + 407870218, + -1, + 338482117, + -1, + 438244225, + 440331901, + -1, + 530696316, + 201369657, + 898557879, + -1, + 126470807, + -1, + 294209735, + -1, + -1, + 520909469, + 137061663, + 860278138, + 646953847, + 141411701, + 653383407, + -1, + -1, + 796179105, + -1, + 496905478, + -1, + 22942778, + -1, + 268574319, + -1, + 781246797, + -1, + -1, + 570222968, + -1, + 92702038, + 921349586, + 641758813, + -1, + 943785284, + 136311487, + 798237742, + -1, + 70759536, + 441672531, + 317839652, + -1, + 210489040, + -1, + -1, + 818281648, + 654852708, + 806651355, + 870434675, + 987908901, + 723925012, + -1, + 31456313, + 985774993, + -1, + -1, + 210778427, + 269307878, + 981485579, + 500922177, + 328245937, + 429716451, + 665879373, + 166451898, + 512324110, + -1, + 390241775, + -1, + 892868726, + 204830932, + 191251378, + 269896936, + -1, + 259444203, + 25691165, + -1, + 362766323, + 532905105, + 41846607, + 398567042, + 815607011, + 444141478, + 746840627, + 522883026, + 585892461, + 517603340, + 851410952, + -1, + 717576646, + 90250178, + 318506066, + -1, + 22590044, + 220247388, + -1, + -1, + 411912821, + 802356400, + -1, + 539817085, + 243831684, + 803194011, + 136150871, + 547471678, + 762379374, + 94416849, + 322688759, + 204767019, + 170778657, + -1, + 964701056, + 273640725, + 812762206, + -1, + -1, + 465234654, + 489425012, + -1, + 897942428, + 402505336, + 216758508, + 644528393, + 629276750, + 747972161, + -1, + -1, + 827818708, + 882446199, + 946858194, + 604431258, + -1, + 661289522, + 864299064, + 541195495, + 24249853, + 422219908, + 787434924, + -1, + 689950351, + -1, + -1, + -1, + -1, + 814501560, + 671649113, + -1, + 239683811, + 774076462, + 504824620, + 655705365, + 940005386, + -1, + -1, + 310360814, + 852926410, + 376162653, + 921248307, + 210606250, + 46274864, + 471195278, + 966842231, + 146515863, + 136102955, + 17704034, + 466686231, + 125303227, + -1, + -1, + 495698081, + 355120216, + -1, + 345200545, + 634664277, + 266625075, + 930055069, + 468081093, + -1, + 733259023, + 552681039, + 661876920, + -1, + -1, + 411291866, + -1, + -1, + 589253462, + 771195017, + 362346816, + 224348454, + -1, + 303695535, + 899707475, + -1, + 684887113, + -1, + 24307289, + 493335723, + 127227943, + 628300971, + -1, + -1, + 133717091, + 217554746, + -1, + 462903955, + -1, + -1, + -1, + -1, + 97853560, + 98476157, + 666625241, + -1, + 270301783, + 807761535, + 212647072, + 518505536, + 217988115, + -1, + 465693047, + 974318355, + -1, + 968236242, + 500295907, + -1, + 846763447, + -1, + 409364378, + 529647949, + -1, + -1, + 109759123, + -1, + -1, + -1, + 860135706, + 583679763, + 775005488, + 913413538, + 644666500, + 102963890, + -1, + 439845621, + -1, + -1, + 418417711, + 386244208, + 858866470, + 546231294, + 813210675, + 924292212, + 520910056, + 519103809, + 856252220, + -1, + -1, + 689618991, + 199804807, + 538157214, + 968134311, + 303367205, + -1, + 790157235, + 104418292, + 397379200, + 676725557, + -1, + 917707560, + 846324036, + -1, + -1, + 737991679, + 933795351, + 443340840, + -1, + 241490389, + -1, + 88080602, + 498754678, + 810233136, + -1, + 733756175, + -1, + 145516017, + -1, + -1, + 121081828, + -1, + 47764085, + 401059733, + 215064673, + 540231543, + 377154498, + 833942636, + -1, + 730805118, + 504905400, + -1, + 700380338, + -1, + 708723830, + 263076431, + 276174311, + -1, + 275190038, + -1, + 119095380, + -1, + 368602739, + 309496275, + 958475350, + 750909181, + 134234436, + 793420836, + -1, + -1, + 998957833, + 163924048, + 83624024, + 778583428, + 234048248, + 485895782, + 187775628, + 182620627, + 39235496, + 522212098, + 930854842, + 412831826, + 700853754, + -1, + -1, + 932452097, + 347189968, + 22449973, + 429347049, + 997130260, + 952208350, + -1, + 797528586, + -1, + 952224989, + -1, + 310119913, + 829379742, + 597474075, + 659711090, + -1, + -1, + -1, + 725991300, + 860702823, + 877750765, + 436805596, + 83047091, + 61905287, + 91305871, + 966247091, + 879619555, + 83075149, + 913042872, + -1, + -1, + -1, + 180674362, + 248454475, + -1, + 795093365, + 996024251, + 128796044, + 127369836, + 349575745, + -1, + -1, + -1, + -1, + 558239944, + 893703792, + -1, + 17204141, + -1, + 749325797, + 34217266, + 135136570, + 702972559, + 268615086, + 835869275, + 430963810, + 320905668, + 402183404, + 802709447, + 17681194, + 940993545, + 381075764, + 250127976, + 315346083, + 535329740, + 795233731, + 401319806, + 369572377, + 388302679, + 788159736, + 120127011, + -1, + 330050187, + 601657397, + 403531202, + 38115014, + -1, + 232372073, + -1, + -1, + 214718797, + 239859265, + -1, + 642096687, + 238140869, + 58161688, + 251815102, + 838940881, + -1, + 563840388, + 735898475, + 476000460, + 312428869, + -1, + 294250346, + 376438962, + 839453407, + -1, + 137707003, + 439950719, + 437568398, + -1, + -1, + -1, + 766795057, + 337872536, + -1, + 879137052, + 789564880, + 532266339, + 816331633, + 101100648, + 13402628, + 527975805, + 37129917, + 48567598, + -1, + -1, + -1, + 42978123, + 830527669, + 105187543, + -1, + 222764807, + 804748261, + 542615020, + 456435398, + -1, + 881698834, + 591879242, + 862099123, + -1, + 368398626, + 809485578, + -1, + 275639467, + -1, + 791839242, + -1, + 583716197, + 617598005, + -1, + 469311606, + -1, + -1, + -1, + -1, + 152729229, + 423380682, + 133131274, + -1, + -1, + 948793203, + -1, + 100291615, + 913653020, + 291559372, + 634429768, + 129083742, + 915874959, + 599342789, + 191172093, + 265273344, + -1, + -1, + -1, + 7563876, + -1, + 769774093, + 380989752, + 433037500, + 529808571, + 117003757, + 601255434, + 989890474, + -1, + 102862541, + 926692308, + 81877013, + 110826581, + 52079325, + 944020166, + -1, + 673065254, + 580055475, + 378701297, + 301517774, + 472047168, + -1, + 243086880, + -1, + 83430554, + 221373215, + -1, + 784021944, + 235187119, + 263648831, + 38497336, + 134476674, + -1, + 682239720, + 94386245, + 671246203, + 844643008, + -1, + -1, + 362508991, + 95622747, + 431983738, + 807306776, + 422301129, + 64111434, + 54300081, + -1, + 468386045, + 138903737, + 659619589, + -1, + 186077440, + 32985688, + 165380300, + 589809576, + -1, + 745341621, + -1, + 722904599, + 300385986, + 943869817, + 6967700, + -1, + 621619701, + 894069920, + 121997953, + -1, + 633767715, + 769122996, + 277974605, + -1, + -1, + 72909200, + 609350046, + -1, + 99017037, + 349271986, + 964883029, + 919545246, + 279032988, + 240442242, + 927442130, + 994339090, + 674393131, + 168668215, + 720650995, + 316442099, + 933457653, + -1, + -1, + 641750405, + 89810485, + 63214650, + -1, + -1, + -1, + 224160718, + -1, + -1, + -1, + -1, + 129795455, + -1, + 902863776, + 719386755, + 588042621, + -1, + 58890438, + 925169609, + 912498124, + 291746657, + 161942396, + 481384541, + -1, + 253623250, + 990710936, + 461335566, + 569855667, + 544017904, + 774752698, + 447624503, + 121035394, + 6545285, + 823221937, + 789490050, + 770157587, + -1, + 989449727, + -1, + -1, + 684035381, + 806986320, + -1, + 294359602, + 42941821, + 993639463, + 267735931, + 896456034, + -1, + 141825517, + -1, + -1, + 279201517, + 812395450, + 418447895, + -1, + 918252693, + -1, + 436623767, + 617663955, + 224873504, + -1, + -1, + 762170781, + 575088930, + 944883923, + -1, + 465283860, + 35313140, + -1, + 199585740, + 740171495, + 664660212, + 2346991, + 707358304, + -1, + 583613704, + 205984721, + 333081865, + -1, + 636697893, + -1, + -1, + 917352943, + 591025326, + 599823225, + 947384605, + 303008104, + 565370002, + -1, + 429173859, + -1, + -1, + 793283354, + 784248504, + 57516718, + 761749014, + 452704444, + 290596962, + -1, + 755929648, + 879432275, + 400489304, + 864613770, + 728791830, + 905733345, + -1, + -1, + -1, + 572487491, + 46645300, + -1, + 150692277, + 809454385, + 819370967, + 269503513, + 86658603, + 976715178, + 366943502, + 553698745, + -1, + -1, + 500558946, + 808123033, + 999388813, + 57532675, + -1, + -1, + -1, + -1, + 600086532, + 548372146, + -1, + 58287459, + 264801804, + -1, + 993531572, + -1, + 377126870, + 263591993, + -1, + 330547805, + 63287510, + 776912550, + 529536742, + 143499657, + 863535849, + 271990193, + 306188866, + 139933509, + 338663245, + 291307164, + 28307451, + -1, + 911816549, + 127180186, + 175394136, + -1, + 372505870, + 524453067, + 858500553, + 931080003, + -1, + -1, + 869006000, + -1, + -1, + -1, + 634826433, + 662931486, + -1, + 854959187, + -1, + -1, + 333778421, + 771040531, + 864846430, + 202235413, + 416856387, + 640712061, + 594723432, + 789529262, + 197124400, + 199682085, + -1, + 449581233, + 887031355, + 701422419, + 864305610, + 210421482, + 250192001, + 878729907, + -1, + -1, + 270298549, + 273805590, + 15574365, + 982569311, + 379141351, + 829835655, + 208574446, + 374838871, + 969721441, + -1, + 743742429, + 668900313, + 113460878, + 512474815, + 16146770, + 98164206, + 715589460, + 984633130, + -1, + 34587190, + 219006384, + 797248640, + 227171116, + 887525540, + -1, + 168097893, + 348605702, + 406172595, + -1, + -1, + 711804312, + 634872862, + -1, + 405648557, + 437341500, + 372656387, + 590035409, + -1, + 203348766, + -1, + -1, + -1, + -1, + 327998196, + 823013350, + 958652773, + -1, + 21272428, + 743590130, + -1, + -1, + -1, + 422153725, + 272041872, + -1, + 458134971, + 551746254, + 434208363, + 844761978, + -1, + 484966986, + 458265649, + -1, + 706174362, + 243797713, + 284908180, + -1, + -1, + 340377344, + -1, + -1, + 263316420, + 161663263, + 691253264, + 46212457, + 525963173, + -1, + 893572331, + 176240374, + 981746433, + 400493633, + -1, + 168480044, + -1, + 369240218, + 523254410, + 679306188, + 146229757, + 670698197, + -1, + 347796367, + 141436515, + -1, + -1, + -1, + 665146398, + 532710276, + 809998173, + -1, + -1, + 864844074, + 835381874, + 812699980, + -1, + 605040232, + 751525514, + 640501990, + 898215545, + 504377039, + 677978767, + 841718582, + 670976630, + 786098558, + 535169171, + -1, + 381007467, + 449981906, + 315254244, + 450285833, + 572788864, + -1, + 885991734, + -1, + 648627981, + -1, + 356499555, + 822326509, + 50504728, + 375498006, + 481781317, + 206251439, + 2718668, + 477217825, + 467747427, + 665713404, + -1, + -1, + 280327143, + -1, + 770418826, + 457310777, + 219752128, + -1, + 89889240, + -1, + -1, + -1, + -1, + -1, + 311492034, + 692771017, + -1, + 885949449, + 229606652, + 991114504, + 890410599, + 487564298, + -1, + 61524110, + -1, + -1, + -1, + 415719372, + 647318359, + 803097762, + -1, + -1, + 580559593, + 428553328, + 157757878, + -1, + -1, + -1, + 280003078, + 965142890, + -1, + -1, + -1, + 736066825, + 749769737, + 168013473, + -1, + 455479399, + -1, + 756493201, + 101004767, + -1, + 587320145, + -1, + 827482485, + 612556178, + 181446557, + -1, + -1, + 225456961, + 581044892, + -1, + 216813226, + 180701489, + 75821982, + 852825142, + 958322249, + -1, + -1, + 242912847, + 156956796, + 367636340, + -1, + 223056786, + 627996124, + 304018157, + 289565848, + 875426085, + 220033039, + -1, + -1, + -1, + 497938170, + -1, + -1, + 49112762, + 257373407, + 931965683, + 312235099, + 252724395, + 322563330, + 498488151, + -1, + 135912755, + 474603372, + 965655520, + 584617078, + 347920465, + 966442314, + 942832143, + -1, + 803345072, + -1, + -1, + 473505115, + 215086547, + 779414740, + -1, + 798391412, + -1, + 391265471, + 661982287, + 174452406, + 98431156, + 33157409, + -1, + 427180299, + -1, + -1, + 937457402, + -1, + 279227521, + 199174308, + 36532797, + -1, + 531881951, + 884565920, + 771619637, + -1, + -1, + -1, + -1, + 991554101, + -1, + 198868542, + 421463659, + 319444461, + 777659025, + -1, + 563814575, + 179016583, + 297435329, + 496625364, + -1, + 519389820, + -1, + 194787505, + -1, + 692975887, + -1, + 788615297, + -1, + 671753791, + 813808256, + 141030001, + 825692993, + 663243097, + 974619576, + 862936047, + 665778668, + 754493808, + -1, + 660057614, + -1, + 127424318, + -1, + -1, + 389731716, + 494868234, + -1, + 569831674, + -1, + 19021266, + 997121563, + 136586381, + -1, + 375853528, + 159798031, + -1, + -1, + 611580422, + 366331686, + 438828995, + 431846620, + -1, + 458104414, + -1, + 953196869, + 588652626, + -1, + 684490332, + 749870469, + -1, + 836419187, + 392741091, + -1, + -1, + -1, + 400828681, + 562195855, + 610752162, + 861288928, + 45216642, + -1, + 637127625, + 853237485, + 921337205, + 199263085, + -1, + 536128761, + 738987628, + 352310710, + -1, + 951480219, + 325348391, + 900266793, + 824132668, + 138371883, + 260325024, + 953490562, + 711694551, + 376930529, + -1, + 443787296, + 931932590, + -1, + -1, + -1, + -1, + 298124373, + 511966697, + -1, + 402148006, + -1, + 457509193, + 290098286, + 365616923, + 129226744, + -1, + -1, + -1, + 780816643, + 234584368, + 311730379, + -1, + 704595142, + 565184241, + 811363744, + -1, + 143287006, + 886407873, + -1, + 354076388, + -1, + 103469201, + 949582552, + -1, + 788143427, + 282097861, + 567710833, + 16312283, + -1, + 388101033, + 36996111, + 484456899, + -1, + -1, + 941063833, + 353940464, + -1, + 158466561, + 448274114, + 359088807, + 495443788, + 355691681, + 235042710, + 973793451, + 995289176, + -1, + -1, + 416613548, + -1, + -1, + 714275216, + 833221767, + 235681309, + 666809373, + 147354398, + 865739692, + 303276926, + -1, + -1, + 311849670, + 396375300, + -1, + -1, + -1, + 22965358, + 176647421, + 363680262, + 745513676, + 254283004, + 6427485, + -1, + 280833411, + 615327863, + 63050549, + -1, + 381593046, + 305020155, + -1, + -1, + 57211477, + 819701126, + 93228346, + -1, + 259266065, + 860827961, + -1, + -1, + 795501761, + 729492767, + 610699231, + 33580870, + -1, + 364399563, + 983116867, + -1, + 562420797, + 37798240, + 536800613, + 750067881, + -1, + 19102782, + 326134620, + 208714813, + -1, + -1, + -1, + 113811797, + -1, + -1, + 318234956, + -1, + 117595350, + 189772187, + 965492809, + 801602814, + 837590921, + -1, + -1, + 751596471, + 323833651, + -1, + 158343418, + -1, + 50206293, + -1, + -1, + 772400882, + 467312194, + 827370688, + 943237074, + 850039273, + 167619987, + -1, + 88202833, + 554645999, + -1, + 563839901, + 336004731, + -1, + -1, + 657623741, + -1, + 271879987, + 212680118, + 731206583, + -1, + 448567696, + 935489611, + 855750917, + 956898067, + -1, + 928714143, + -1, + 225833791, + 447105911, + 218708528, + 293082668, + 144179959, + -1, + 191169306, + 665578816, + 452379586, + -1, + 647860220, + -1, + 181846880, + 626366781, + 253775347, + 429054872, + 950244421, + -1, + 653924745, + 130847222, + -1, + 894657403, + 33479121, + -1, + 735494532, + -1, + 627637825, + 184300794, + 255104607, + 708019429, + 665101352, + -1, + -1, + -1, + 134716257, + -1, + 921964020, + -1, + -1, + 281861835, + -1, + 657870732, + -1, + 171542908, + 535670039, + 302614458, + 254790041, + 826865832, + 35284502, + 905632804, + 815197455, + 640278179, + 119797792, + 733286157, + 272933226, + 577355878, + 800482888, + 791408723, + 429897952, + 947526912, + 423731107, + -1, + 933327846, + -1, + 737445537, + -1, + 382612946, + 289304049, + -1, + -1, + 106982028, + 160370965, + 435605966, + -1, + 488956492, + 775658222, + -1, + 625263965, + 480437597, + 947159786, + 314195869, + 92065458, + 201606073, + -1, + -1, + -1, + 621331461, + 720942581, + 74431230, + -1, + 26643054, + 262922953, + -1, + 615599352, + 200465620, + 813695771, + 404640843, + 732504249, + 411295971, + 519437774, + 619648865, + 126193277, + 548687099, + -1, + -1, + 32177348, + 520657358, + 223864754, + 552359976, + 52291872, + 632789130, + 799954500, + 283779880, + 866690353, + 581623747, + 684197443, + 919112446, + 74592607, + -1, + 821440325, + -1, + 25640238, + 482207896, + 423323716, + 768209207, + 288243551, + 216521439, + 473871943, + 739445161, + -1, + -1, + 370155594, + 93508545, + 423490606, + 736479352, + -1, + 154089823, + -1, + 10356443, + 378081645, + 356128269, + -1, + -1, + 74494638, + 609842325, + 438417257, + 295710595, + -1, + 173117843, + -1, + 492246189, + 767731630, + 917460294, + -1, + -1, + 497048721, + 444958267, + 189505043, + -1, + -1, + 298231014, + 780254673, + 707008369, + -1, + 240042343, + 387682474, + 21005729, + -1, + -1, + 211850112, + -1, + -1, + 124011797, + 450865627, + 765417128, + 480935860, + 447919108, + -1, + 905782491, + -1, + 98558805, + -1, + 661629524, + 312218358, + -1, + -1, + 467013030, + 190092561, + 688948428, + -1, + 433931263, + 328006454, + 887485094, + 865051493, + 435113546, + 323488978, + 556003616, + 421822670, + -1, + 436369246, + -1, + 579084724, + 665355891, + 966494386, + 420845803, + 742464845, + 179129849, + -1, + -1, + 655909570, + 363188895, + -1, + 175764312, + -1, + -1, + 972014039, + 744930857, + 814889448, + 150359, + -1, + -1, + 760956197, + 29193577, + 242123913, + 55058322, + 366835397, + -1, + 682725515, + 285248023, + 566812417, + -1, + 200402827, + 789958674, + 489446975, + 220868178, + -1, + -1, + -1, + 327499231, + -1, + -1, + 75962693, + -1, + -1, + -1, + 487501483, + 873099753, + -1, + 325530811, + -1, + 615185046, + 16822787, + 495442310, + -1, + -1, + 93961669, + 962686374, + 173882518, + 455166888, + -1, + -1, + 557285689, + 615596332, + -1, + 854783369, + 962888856, + 60340736, + 230931171, + 320353231, + 522734492, + 864207578, + 760742269, + -1, + -1, + 240283604, + 900867446, + 476078596, + 230762353, + -1, + -1, + 832667006, + -1, + 223081632, + -1, + -1, + 512270351, + 7482283, + 937013092, + -1, + -1, + 592964080, + 135508459, + 120825819, + 301362593, + -1, + -1, + 129974211, + 704188985, + 551767163, + -1, + 244086143, + 664490166, + 667203965, + 357380816, + -1, + -1, + 449030522, + -1, + 372910472, + 11232755, + -1, + -1, + -1, + 605315061, + 671308932, + 245148682, + 224035351, + 655201812, + 366775819, + -1, + -1, + -1, + 630902289, + -1, + 156287310, + -1, + 113044914, + 382178951, + 358521748, + 722955954, + 70679715, + 683143909, + -1, + 791446071, + 76296312, + -1, + 164215944, + 952100864, + -1, + 27571229, + 545719534, + 870699134, + 600924684, + 280537589, + 384571071, + -1, + 424966439, + 163821850, + 676701510, + -1, + 432947869, + -1, + 568082596, + 514273950, + 557101590, + -1, + 356965178, + 459006454, + 503333491, + 672979681, + 687262735, + -1, + 53884614, + 257443428, + 970036791, + 863262345, + 90441201, + 217382772, + -1, + 26419262, + -1, + 414722027, + 256976141, + -1, + -1, + 45977825, + -1, + -1, + 784582369, + -1, + 147709479, + -1, + 287965008, + 858852063, + 186288768, + 639910709, + 990229795, + -1, + 207939975, + 653954, + 748231493, + -1, + 484731937, + 781120449, + 9626679, + -1, + 337773198, + -1, + 108137548, + 136203157, + -1, + 738066914, + 246818715, + 540399928, + 877902326, + 431427197, + 118218447, + -1, + 687092822, + 628484120, + 629942803, + 324402574, + 770489960, + 341469155, + 325495465, + 475241803, + -1, + -1, + 394754897, + 51484987, + 962014231, + 844688279, + 831637126, + 292143800, + 688975174, + -1, + 146403554, + -1, + 354802838, + 935007710, + 542035474, + -1, + -1, + -1, + 228437325, + 627934713, + -1, + -1, + 929019810, + 818010699, + -1, + 686879968, + 707136171, + 690228268, + 159569891, + 402041901, + 909747758, + 729499010, + 32560029, + 359318865, + -1, + -1, + 551083992, + -1, + 53529099, + 523729665, + 975509299, + 963502731, + 109559581, + -1, + 340090130, + -1, + 539922263, + 895488915, + -1, + 16437392, + 908046858, + -1, + -1, + 742841915, + -1, + 552448493, + -1, + 387884803, + 872850039, + 307594371, + 343020643, + 689897007, + 700885308, + 570976505, + 339327425, + 727357528, + 699614270, + -1, + 286273733, + -1, + 802434699, + 165093280, + 566423933, + 852209594, + 586336663, + 963362513, + -1, + -1, + 353459408, + 928753633, + 564960989, + 20231433, + 453413159, + -1, + -1, + 912078756, + 784016618, + 66000956, + 643499186, + 828822765, + 629770591, + 552955374, + 469019177, + -1, + 788410766, + 354616808, + -1, + 105454094, + -1, + -1, + 471205484, + 772129847, + 733045996, + 718506901, + -1, + 320956178, + -1, + 111110744, + -1, + 88818427, + 550450471, + 500718127, + 824084148, + -1, + -1, + 480160811, + -1, + -1, + 276319374, + -1, + 905808645, + 261478166, + -1, + -1, + -1, + -1, + -1, + -1, + 595289593, + 886111151, + -1, + 506659802, + 614577583, + 489321712, + 433671577, + -1, + 852513605, + -1, + 89914749, + 595325920, + 43980283, + 148800512, + 277076191, + 743163937, + 116836428, + 912647543, + 688705020, + 264034096, + 994193034, + 677718264, + -1, + 622807270, + -1, + 764425482, + 66106688, + 750498344, + -1, + 774503769, + 237373412, + 53610205, + 185097033, + -1, + 173841518, + -1, + -1, + 506030326, + 310182016, + 319025562, + 528393763, + 127208761, + 643569636, + -1, + -1, + 709201817, + 856778871, + -1, + -1, + 250708616, + 23114675, + 846025631, + 51326210, + 289162473, + 42065347, + 987062581, + -1, + 908555877, + 118964383, + -1, + 649343556, + 690224659, + -1, + 890549712, + -1, + 149473812, + 376497789, + -1, + -1, + 535574377, + 876384627, + 121558753, + 767456226, + -1, + 896990482, + 774058340, + -1, + 274725708, + 155986901, + -1, + 572592647, + 274805465, + 928371196, + 233258812, + 937254637, + 180685635, + 800062413, + -1, + 429371366, + 486087804, + -1, + 384679000, + -1, + 979281711, + 275567320, + -1, + -1, + 258703305, + 558880637, + -1, + 773473317, + 594795726, + 102321858, + -1, + 536297477, + 192983387, + 966151268, + 636637576, + -1, + 170935754, + 603945261, + 704664696, + 769655904, + 738971640, + 918522769, + -1, + -1, + 456342762, + 876192278, + 69576616, + 445410431, + 627599873, + -1, + 964597181, + 804789741, + 601062736, + 516677976, + 949168898, + 790709855, + 77492092, + -1, + 209073549, + -1, + 833881740, + -1, + 728476807, + 596853876, + 959591440, + 770246952, + 832181727, + 764294730, + 693445954, + 772665248, + 655840784, + -1, + 868552093, + 207117899, + 616509749, + 720828155, + 372673984, + 915236363, + 436759919, + 287085627, + 986126387, + 815960198, + 1857148, + 223514389, + 522722815, + -1, + 751424230, + 521170326, + 872737912, + 319276042, + -1, + 291700337, + -1, + -1, + -1, + 55193932, + -1, + 395872855, + 551653216, + 815609088, + -1, + -1, + -1, + 343928260, + 852264492, + 905465649, + 990117499, + -1, + -1, + 21842642, + 562504860, + -1, + 623172168, + 122120325, + -1, + 856836670, + 184309950, + 145004648, + -1, + 3346728, + 50702099, + -1, + 386089966, + 929708045, + 730331892, + -1, + 532179354, + 487334365, + 44962485, + -1, + 926191176, + -1, + 202245468, + 80968352, + 273988238, + 811500581, + 843504142, + 366406848, + -1, + -1, + 819072983, + 803582986, + -1, + 786875586, + -1, + 405833467, + 753210148, + -1, + 947247664, + 270691918, + 772666333, + 630822580, + -1, + 992009330, + 878849055, + 319544054, + 914649853, + 711705108, + -1, + 967567132, + 71265879, + 99486373, + 177062439, + 901502316, + 354520455, + -1, + 132868888, + 348208279, + -1, + 61440207, + 317996960, + -1, + 339174717, + 500005033, + 5383027, + -1, + -1, + -1, + -1, + 318087222, + 930554789, + 630898173, + 442067753, + 855842860, + 678312710, + 909402756, + -1, + 561292976, + -1, + -1, + 438124072, + -1, + -1, + -1, + -1, + -1, + 14497778, + -1, + -1, + 710524513, + 293246371, + -1, + 712928131, + -1, + 975092142, + 241451308, + -1, + 44464954, + -1, + -1, + -1, + 877190100, + 346980571, + -1, + 896922037, + 133980750, + -1, + 698970308, + 245192511, + 865979781, + 469631794, + -1, + 102214708, + -1, + 509071908, + 57966830, + 733911536, + 237881723, + -1, + -1, + 220986629, + 373936804, + 655561046, + 989702152, + 83326886, + 219001677, + -1, + 1500008, + 508136368, + 381739901, + 461644258, + -1, + 918489570, + -1, + -1, + 818905864, + 675579976, + -1, + -1, + 423524498, + 87862958, + -1, + 450035441, + 285913927, + 782967819, + 931843680, + -1, + -1, + 142904973, + 638486216, + 626815193, + 984766411, + -1, + 317982843, + 333583572, + 346222362, + 25308583, + 269041269, + -1, + 72247185, + 22689032, + 427560850, + 750355708, + 977400238, + 92640267, + -1, + 309800301, + -1, + -1, + 619882823, + -1, + 709670638, + 765199832, + 642043937, + -1, + -1, + -1, + 954106389, + 979810871, + 608487333, + 538210325, + -1, + -1, + 263464464, + 562692179, + 542246290, + -1, + 714937803, + -1, + -1, + 219617888, + -1, + 531813194, + 949477859, + -1, + 457097211, + 344130016, + -1, + 397795730, + -1, + 590302213, + 34239404, + -1, + -1, + 943343798, + 964087080, + 120324063, + 316147705, + 625220445, + 442639120, + 278640376, + 239529974, + 931621831, + 902939710, + 607960761, + -1, + -1, + 200885789, + -1, + -1, + 284220480, + 29977423, + 834386197, + 270464727, + -1, + 392859606, + 533263784, + -1, + 329551626, + 857844880, + 437373765, + 400871608, + 710567444, + 524143637, + -1, + 699878481, + -1, + 926037651, + 614186325, + -1, + 475968334, + 825756038, + -1, + 751054731, + 903497490, + 602889934, + 500677897, + 22919822, + 658161584, + -1, + -1, + 685734978, + 420169807, + -1, + -1, + -1, + 961377141, + 936568959, + -1, + 940843840, + 844061051, + 260756827, + 700829750, + -1, + 487678644, + -1, + 912060499, + 172365782, + -1, + -1, + 99399451, + -1, + 264340836, + -1, + 902482005, + -1, + 182031980, + 746030805, + -1, + 521564364, + -1, + 780823350, + 861589049, + 4705334, + 500168361, + 931868918, + 227008339, + 487922993, + 236518317, + -1, + 517614076, + 337427730, + -1, + -1, + -1, + -1, + -1, + -1, + 786104907, + 477439364, + 270806337, + -1, + 716456335, + -1, + 62992210, + 908775002, + 403129830, + 550372683, + 328229727, + 626597337, + -1, + 388900806, + 999890020, + 480197785, + 890420689, + 369240352, + 174078018, + 198419332, + -1, + -1, + 477404916, + 738489371, + 802165221, + -1, + 878887490, + -1, + 731885933, + 49409146, + 251976178, + -1, + 714139946, + -1, + 309347334, + -1, + 811388995, + 58509779, + 511493263, + -1, + -1, + 350845517, + 640817441, + 961774997, + -1, + 147498232, + 456297821, + 855502788, + 413887396, + 923423538, + 802227237, + 419719873, + 599425572, + 798408425, + 426864705, + -1, + -1, + -1, + 152571816, + 313599696, + 562954669, + 556503842, + -1, + -1, + 686598991, + -1, + 468114310, + -1, + -1, + -1, + 238711141, + 440842445, + 611642165, + 228785701, + 243693583, + 540684965, + 807593652, + 819728207, + 227588809, + 310840183, + -1, + 729604219, + 636193174, + 161177963, + 248726365, + 514731916, + 441730046, + -1, + 67189187, + 755233567, + -1, + -1, + 434577538, + 15051243, + -1, + 773942260, + -1, + 692499846, + 74508667, + 777089038, + -1, + 579836136, + -1, + -1, + 609932023, + -1, + -1, + -1, + 461509339, + -1, + 675048328, + -1, + 751618623, + 548068759, + 708654458, + -1, + 42841922, + 950080120, + -1, + -1, + 394562065, + -1, + 369937857, + 494104752, + 978224207, + 182907636, + -1, + 620311751, + 53688274, + 491891570, + 6653929, + 495641384, + 70393009, + 857664996, + 522855645, + 278006869, + 322708400, + 180386276, + 999729480, + 66886316, + 194057631, + 462273872, + 902620584, + 119605659, + 13264706, + -1, + 252686568, + -1, + 76348227, + 777479194, + 622744053, + 328908974, + -1, + 809302696, + -1, + 876795190, + -1, + -1, + -1, + -1, + 284247508, + 756546713, + -1, + 414725364, + 52052281, + 199882847, + 376526993, + -1, + 580145516, + 298385612, + 717780209, + -1, + 997353811, + 579149703, + 12252470, + 715117557, + 64155050, + 819174252, + 10488212, + 522062642, + -1, + 862406254, + 460756555, + -1, + -1, + 293175381, + -1, + -1, + 275610602, + 532674218, + 240666984, + 889624390, + 465823156, + -1, + -1, + 100595205, + -1, + 17255865, + 624029775, + 364539724, + -1, + 207883610, + 396448619, + 713622512, + -1, + 993591733, + 249519912, + 774564375, + -1, + 569438270, + 447885060, + 98406732, + -1, + 348732968, + 367218230, + -1, + 757368270, + 315039494, + 156348778, + -1, + -1, + 926519395, + 807849068, + 245918785, + -1, + 454494848, + 952074911, + 345751244, + 169263586, + -1, + 26989698, + -1, + -1, + 587331945, + 668475488, + -1, + 766542816, + -1, + 290359697, + 861489503, + 751583033, + 341561135, + 489519091, + 577619930, + 683612106, + 301176716, + 955072467, + 120989247, + 718822182, + 52950545, + 127619919, + 715077487, + 203478796, + -1, + 91736514, + -1, + 158032276, + -1, + -1, + 159854643, + -1, + 871473987, + 455068423, + 173168758, + 455862679, + 947940412, + 869338642, + -1, + -1, + -1, + 805373647, + -1, + -1, + 894649627, + 302784580, + -1, + 432700643, + 770006584, + 282645711, + -1, + 465120140, + 518939098, + 290284959, + 525301786, + 762736448, + 253200288, + -1, + 101826496, + -1, + 41877416, + 135797209, + 201039601, + 180116568, + 843769344, + 373971252, + -1, + 149542910, + -1, + 453573347, + 348841521, + 413406793, + 939700936, + 589775818, + 182735609, + 910099735, + -1, + 351917983, + 201284583, + 912697784, + -1, + 514665164, + -1, + 520384341, + -1, + 244891841, + -1, + 26179184, + -1, + 743385127, + -1, + -1, + 810757116, + 678471798, + 894986412, + -1, + 458352157, + 459951959, + 809057572, + 436654299, + -1, + 595463763, + 233927289, + -1, + 656095832, + -1, + -1, + 920121035, + 185797453, + 651842849, + 920718415, + 824206667, + 602203524, + -1, + 484730888, + 164964571, + -1, + 482725592, + 699125247, + 50236691, + 634952455, + 399846961, + 493725305, + 373183348, + -1, + -1, + 72614836, + 368377699, + 368521793, + 545963063, + 488480140, + 131054901, + 714521287, + -1, + 17583884, + 900206525, + 586967919, + 997347877, + -1, + 313730793, + 612976288, + -1, + 31247748, + -1, + 831702199, + -1, + 838653875, + 93930754, + 732510353, + 455181155, + 492363345, + -1, + -1, + -1, + 471738826, + 340104352, + 633898889, + 308673394, + 514891992, + -1, + 719205942, + -1, + 253116389, + 928285988, + 441633804, + 502717452, + -1, + 450338721, + 893379273, + -1, + 450100178, + 619211087, + 119397597, + 291574224, + 984974100, + 382378939, + 979019104, + 346745452, + 966882459, + 356235012, + -1, + 541408204, + -1, + 158865604, + 134156728, + 818105957, + 816266449, + 297627667, + 50264850, + 89345149, + 102187370, + 195889048, + 863149334, + 984052644, + 146384148, + -1, + 472643394, + 941102978, + -1, + 973396281, + -1, + -1, + -1, + 27644208, + 113750084, + -1, + -1, + 486328297, + 143265975, + 390316128, + 311865113, + -1, + 970746202, + 224218797, + 902836668, + 150413805, + 295222503, + 248568994, + -1, + 52117499, + 678340825, + -1, + -1, + 731329782, + -1, + 210918172, + 669600710, + -1, + 945221010, + 637746872, + 605746715, + 329180803, + 970798214, + 886527007, + 335734350, + -1, + 791395599, + -1, + 439790320, + 49905386, + 330519777, + 647771527, + 412448759, + -1, + 639848607, + 382295560, + 466848608, + 281846585, + 122251411, + -1, + -1, + -1, + -1, + 303962603, + 505011687, + 439032299, + 66860453, + 74031654, + 43643207, + -1, + 835353895, + 294972190, + 925712310, + -1, + 51918433, + -1, + 353966432, + 932428375, + 400495129, + -1, + 720597558, + -1, + 12662401, + 638344440, + -1, + -1, + 79916271, + -1, + -1, + 63363756, + -1, + 324455705, + 976222810, + 874196423, + 646581807, + -1, + -1, + -1, + 417543789, + -1, + -1, + -1, + 351785415, + 871827787, + 811307282, + -1, + -1, + -1, + -1, + 837537113, + -1, + 518337589, + -1, + 863275303, + 859713713, + 402142039, + 772651859, + 351359116, + 176072710, + 554303536, + 461945624, + 939539923, + 223204409, + -1, + 798214599, + 410074447, + 375979550, + -1, + 540821314, + 696016227, + 420925843, + 778868465, + 505893075, + -1, + 708541116, + 232612517, + 421712101, + -1, + 325152504, + -1, + 400226020, + 873204670, + 952972973, + 721616987, + -1, + 38644047, + -1, + -1, + 929271991, + 915988173, + 287385793, + 938112557, + 429729430, + 484242502, + 28149909, + 903709313, + -1, + 153385846, + 527691035, + 130909510, + 607272702, + 45699181, + 578142666, + 740892375, + 339497605, + -1, + -1, + 995317291, + -1, + 953936050, + -1, + -1, + 398054324, + 88904704, + 804593616, + 602196036, + -1, + 378025051, + 654566231, + 898310659, + 270656558, + 975661629, + -1, + 812706021, + 844700577, + -1, + 894203557, + -1, + 363585458, + 327328063, + 6289297, + 568170939, + 125435068, + 980726723, + -1, + 242232578, + 512276351, + 99556057, + -1, + -1, + -1, + 131105535, + -1, + 130312347, + 695221138, + 498240098, + 325059196, + 600826822, + 688594894, + 36883935, + -1, + 335637093, + -1, + 189676419, + 252936330, + -1, + 189480644, + 31895074, + -1, + 911816103, + 876193572, + 619603806, + -1, + 156210002, + 23142620, + -1, + 908552222, + -1, + -1, + 269587457, + -1, + 540411857, + -1, + -1, + 256904383, + 24302742, + 479442119, + 320573441, + -1, + 528209122, + 764077943, + 992483711, + -1, + 985902060, + 655686065, + 473791404, + -1, + 599795167, + 317773317, + 587495908, + 675338781, + 886835281, + 256182816, + -1, + 289486935, + -1, + 306831989, + 814022012, + 573915741, + -1, + 812622287, + 284434448, + 843903808, + -1, + 158749046, + 560106015, + 276449086, + -1, + -1, + 865417180, + 917747677, + 567713867, + 455220766, + 634557514, + 217459052, + 433955327, + 281026561, + 13610863, + 663885382, + -1, + -1, + 159845855, + -1, + 854841178, + 351660050, + 425126040, + -1, + 356959958, + 290535019, + 446439720, + 960308294, + 703907802, + -1, + -1, + -1, + 565997565, + 989057826, + 2336848, + 620589393, + -1, + 703202686, + -1, + -1, + 69599053, + 341599507, + -1, + 403547999, + -1, + 888079068, + 966340741, + 627936130, + 228539704, + -1, + -1, + 984327722, + 935182824, + 746011286, + -1, + 502823703, + 945412984, + 794760524, + 833973175, + 775801795, + -1, + 908396966, + 296459980, + 68239565, + 377463607, + 255963148, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 821581469, + 482043551, + 444661236, + 847654667, + -1, + 8027783, + -1, + 255111253, + 81974765, + -1, + 168159378, + 655181119, + 780799423, + 305585042, + 328865813, + 112017856, + 162164360, + 157360764, + 140677461, + 659619792, + -1, + 959497958, + -1, + -1, + 960701403, + 73287672, + -1, + -1, + 685148533, + 999951885, + 19981886, + 90734663, + 409020547, + -1, + -1, + 630125850, + 396642053, + 900898118, + 536235577, + -1, + 22593788, + -1, + -1, + -1, + 247990172, + 272328292, + -1, + -1, + 120040293, + 174206122, + 357040521, + -1, + -1, + -1, + 800882129, + 856760138, + 951681972, + 539766914, + 904160377, + 373854903, + 617391260, + -1, + -1, + 787777784, + 291093187, + -1, + 365028588, + 899866885, + 876928974, + -1, + 783792345, + -1, + 652466193, + 763804184, + -1, + 727301895, + 915468878, + -1, + 499410325, + 115352480, + -1, + -1, + -1, + 851519777, + 996851850, + 288694287, + 432232837, + 45662842, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 529075621, + -1, + 6743763, + 655259062, + 523355914, + 415476824, + 892582521, + 408591689, + -1, + 495007541, + 11409476, + 165307073, + -1, + 475729616, + 752062983, + 69308671, + 774083444, + 351348845, + 68760594, + -1, + 862477367, + 667953056, + 882699132, + 753824813, + 109349830, + -1, + -1, + 168602449, + -1, + 91896015, + 474248000, + 11567462, + 424497060, + 720834363, + 122097815, + 170939940, + 694375483, + -1, + 390663834, + -1, + -1, + 121381580, + 591474374, + 514357513, + 14572177, + 985750380, + 54395008, + 347703365, + 208824327, + 964373516, + 309316161, + 339964431, + 37632463, + 740452406, + -1, + -1, + 17027169, + 497835892, + 564967859, + 120101920, + -1, + 276038581, + 633609872, + -1, + -1, + -1, + 975093456, + -1, + -1, + 426626721, + 210458654, + 144811956, + 470754711, + 275041073, + 774414787, + 940658545, + 695563067, + 395591214, + -1, + 659640854, + 182133803, + 654769714, + -1, + 270502245, + 799564351, + 884831881, + -1, + 291423863, + 627721759, + 745392917, + -1, + 534116566, + 3134423, + 631302650, + 651927899, + 300202375, + 120041022, + 537016459, + -1, + -1, + 421664046, + 24774364, + 245710685, + -1, + -1, + 881702193, + 862370199, + -1, + 303436260, + 42599266, + 871794819, + -1, + 167314761, + 699630310, + 172551897, + 806025291, + 285034983, + 266549272, + -1, + 269875574, + 47985178, + -1, + 174464207, + 684387205, + 979369169, + 705211930, + 311162513, + 602188740, + -1, + -1, + 44671779, + -1, + 933508515, + -1, + 265689620, + 774345710, + 708809146, + 969665113, + 353353132, + 144616943, + 899384272, + 550320909, + -1, + 163827967, + -1, + -1, + -1, + 81872461, + 777050788, + -1, + 775663732, + 489313432, + 342272839, + -1, + -1, + 592500106, + -1, + 65535944, + 902463274, + -1, + 786184539, + 71348287, + 904518574, + -1, + 318931539, + -1, + -1, + 853463137, + -1, + 757254746, + 835736428, + 838550408, + -1, + 364924009, + 932124063, + 987289351, + 234437367, + -1, + 185025074, + 244382552, + 840616002, + 860638044, + 561785418, + 116692806, + 891088960, + 585116299, + 100397024, + -1, + -1, + 98639711, + -1, + 568841589, + 508524760, + 216230003, + -1, + 213228698, + 468246665, + 360969616, + 238768419, + 129303536, + -1, + 918388179, + -1, + -1, + 156143944, + 604385060, + 662982787, + 726144361, + 790872342, + 845489243, + 839304465, + 160677911, + 533981662, + 653223568, + -1, + 283252385, + 390397534, + 210910831, + 457715377, + 764299973, + 513094505, + 350734017, + 858084799, + -1, + 100983917, + 559643783, + 690602656, + 508376785, + 699228062, + 341867939, + -1, + 170473126, + -1, + 433031702, + -1, + -1, + 429795346, + 961129707, + 384436830, + -1, + 946517584, + 797189758, + 556801419, + -1, + 249858343, + -1, + -1, + 143838850, + 57781859, + 791647088, + 205786362, + 918739379, + 638172411, + -1, + 490373988, + 322383092, + 93464606, + 309977842, + -1, + 785922327, + 160205966, + 250279668, + 298593576, + 155165784, + 858063008, + 96917574, + 882285242, + 676687209, + 332104024, + 63327415, + -1, + 250060494, + 46210446, + -1, + 134158586, + 591075188, + 892390610, + -1, + 188034808, + 845460182, + -1, + -1, + 222203324, + 411348843, + 336920539, + -1, + 187127865, + 824904907, + 849239758, + 503398423, + 399424145, + -1, + 188496382, + 111099419, + 628414494, + 773730836, + 735097792, + 145064520, + 489178872, + 681328526, + -1, + -1, + 988940907, + -1, + -1, + 599864281, + 385165019, + -1, + 646780376, + 718662162, + 268178614, + 616951655, + 685085150, + 678336491, + 951985635, + 698598112, + 521690153, + 396883552, + 957055881, + 218405676, + 82641208, + 919951156, + 376461498, + 892276264, + -1, + 154329611, + 649489561, + 653734675, + -1, + -1, + -1, + -1, + 53032496, + 842151917, + -1, + 746276614, + 825838868, + 166912462, + 836495252, + -1, + 905128225, + 685744687, + 178928572, + 306110862, + -1, + 408404449, + 510721179, + 206536469, + 808083801, + 368363297, + -1, + -1, + 956686551, + 115167984, + -1, + -1, + -1, + -1, + 625115207, + 810915087, + 319191756, + 20746837, + 580205172, + 733156426, + 568666123, + 733441832, + -1, + 450008070, + -1, + -1, + -1, + 421148053, + -1, + 24755808, + 634420827, + -1, + -1, + 732638748, + -1, + 527491129, + 187004595, + 950475455, + 793563057, + 291284765, + 225652988, + -1, + 844374840, + -1, + -1, + -1, + 171409084, + 838004596, + 330960006, + 289054667, + -1, + -1, + -1, + 317718001, + 300437328, + -1, + 12476668, + 46787678, + -1, + 501340305, + 820367329, + -1, + 6172234, + 799506359, + 145466717, + 514922415, + -1, + -1, + 572421907, + 640196440, + 631784862, + -1, + 415734847, + 628618344, + 750435063, + 235799891, + 845783807, + -1, + -1, + -1, + 258005654, + 142205581, + 699749561, + -1, + 962340313, + 507135896, + -1, + -1, + 304908333, + 159242499, + -1, + -1, + -1, + 743172441, + 419699092, + 127269488, + -1, + 433658122, + 503251311, + 500734201, + 563615696, + 688694285, + 409728563, + -1, + 551320624, + -1, + 907261431, + -1, + 217388766, + 356301032, + 579694820, + -1, + 990192731, + 752643233, + 730129750, + 191871528, + 846805270, + 99570628, + 352982092, + 648444644, + 36367970, + -1, + 982350324, + 448179639, + 920402921, + 509107748, + -1, + 815188261, + -1, + 198770510, + 205629922, + 506722266, + 600032441, + -1, + 351753324, + 790989334, + 801822741, + -1, + 828883201, + 32359161, + -1, + 91262061, + 379922195, + 187955864, + -1, + 970787653, + 592076203, + -1, + 33216090, + -1, + 935980351, + -1, + 145814529, + 441226544, + -1, + -1, + 758374047, + 49897451, + -1, + 661830298, + 658719547, + -1, + 899309651, + -1, + -1, + -1, + 694320038, + 431503205, + -1, + -1, + 991197829, + -1, + -1, + 648006336, + -1, + 66084425, + -1, + 396326385, + 157666255, + 325660719, + 742620665, + -1, + -1, + 865127899, + 971332212, + -1, + -1, + -1, + -1, + -1, + 463929295, + 693603517, + -1, + 406403027, + 910005717, + 9886694, + 906005651, + -1, + 437552189, + 603543886, + 892486168, + 758292591, + 472207518, + 751277851, + 196878294, + 376574794, + 86307129, + 721644114, + 389176233, + -1, + -1, + 620358782, + -1, + 716905420, + 719254843, + 215870388, + -1, + -1, + 868571933, + -1, + 912725094, + 478750359, + 398643720, + 56197160, + 188516046, + -1, + 68332056, + -1, + 742029352, + 118605269, + -1, + 900797932, + 107306248, + -1, + 274449925, + 11084677, + 521649657, + 481092418, + 589164964, + 632720356, + -1, + -1, + -1, + 334692384, + -1, + -1, + 993641355, + -1, + 355475504, + 135533028, + 449534795, + -1, + 63215395, + 671704095, + 704848522, + -1, + 229036427, + -1, + 590263120, + 244662248, + 868693471, + -1, + 243749720, + -1, + 894100567, + 553397281, + 392531838, + -1, + 705784965, + -1, + -1, + 987261727, + -1, + 427637538, + 206607588, + 324174172, + 512481290, + -1, + 613510464, + 740832210, + 494126185, + 896188955, + -1, + -1, + 979592539, + 50653985, + 895878961, + -1, + -1, + 585560247, + 284076204, + -1, + 487085431, + 877680065, + 257665039, + 216048766, + -1, + -1, + -1, + 624911849, + 385298027, + 69616590, + -1, + 76487812, + -1, + 356448969, + 950866983, + 153311866, + 297748007, + -1, + 608254738, + 830749362, + 989593090, + 567242137, + 484841974, + -1, + -1, + 733729868, + -1, + 247867197, + 580814933, + -1, + 401811368, + 740267907, + 644701661, + 232599584, + -1, + 821730959, + 293185732, + 665172224, + 834233333, + 77001010, + 612231340, + -1, + 704325701, + 415752106, + 788852561, + -1, + -1, + -1, + 707631843, + -1, + 18778699, + -1, + 384765111, + -1, + 137161387, + 90030666, + -1, + 409271078, + -1, + 342044262, + -1, + 653689098, + 562273995, + 471287235, + 412439342, + -1, + 72325877, + -1, + 93901085, + -1, + 233093270, + -1, + 140130110, + 411013418, + 869467788, + 707651648, + 268278308, + 968038630, + 458425862, + 12732998, + 241521521, + -1, + 147917105, + 170880065, + 498468086, + 646304792, + -1, + 524661064, + 683566189, + 795122935, + -1, + 658590115, + -1, + -1, + 404891372, + -1, + 287887750, + 586668143, + -1, + 770293857, + 893434571, + -1, + 330500084, + 939960657, + -1, + 807605141, + -1, + 383434991, + 660343585, + 893495338, + 405808618, + 199445211, + 924857610, + 618356969, + 40695160, + -1, + 259630945, + 495820853, + -1, + 726356482, + -1, + 579915456, + 469876066, + 539673616, + 330981228, + 338653659, + 762294301, + -1, + 381866837, + 565689162, + 431389700, + 328866296, + -1, + -1, + 439387476, + 932801686, + -1, + 59896105, + -1, + 51462587, + 267966128, + -1, + 588107496, + -1, + -1, + 373684841, + -1, + 281742391, + 2516365, + 163812769, + 455704597, + 84897730, + 336710980, + -1, + 727094625, + 980900531, + 177050587, + -1, + 124663272, + 503791143, + -1, + 658723375, + 710275463, + -1, + 478136025, + -1, + 815772499, + 482047610, + 545971134, + -1, + 370556313, + 675099776, + -1, + 569697747, + -1, + 11549190, + 98681367, + -1, + -1, + 337424113, + -1, + -1, + 84094032, + -1, + 485510387, + 591259066, + -1, + -1, + -1, + 241194990, + -1, + -1, + 838061265, + 475221632, + 111901278, + 802627392, + 756671743, + 968358457, + 526407977, + 78652377, + -1, + 911223151, + 898766719, + 93648724, + -1, + 664661657, + 661307545, + 401922816, + -1, + 467284774, + 272269046, + -1, + -1, + -1, + 133418790, + -1, + -1, + 450686172, + -1, + -1, + 648476877, + 207561418, + 732869298, + -1, + 26512545, + -1, + 173706882, + 155721898, + 93441200, + -1, + 286999006, + -1, + 351528383, + 75314305, + 727302042, + -1, + -1, + -1, + 837429225, + 234014843, + 783571517, + 277370798, + -1, + 56265011, + 880898152, + 207351167, + -1, + -1, + 697004654, + -1, + 640874590, + 787778565, + 734867628, + 701359145, + 237041402, + 44446135, + 564424444, + 906193633, + 329583851, + 925010707, + 371620677, + 701579551, + 774288186, + 579183783, + 585802538, + 673996731, + 869641151, + 462373176, + -1, + 329313392, + -1, + -1, + 32587530, + -1, + -1, + -1, + 412531796, + 643548689, + -1, + 989868667, + 172492600, + 58998970, + 528114125, + 296734906, + -1, + 722847535, + -1, + 995496311, + -1, + 175550624, + 372102385, + -1, + 371380061, + 368448698, + 555527344, + -1, + 827116203, + 359797321, + 956423683, + 950334410, + 849685241, + 350272762, + -1, + -1, + -1, + -1, + -1, + -1, + 620512182, + 437751253, + 642447547, + -1, + -1, + 220084824, + -1, + 517427266, + -1, + 552473865, + 552654879, + 665611293, + 744430456, + -1, + -1, + -1, + 872903843, + -1, + -1, + 775015802, + 210669751, + 144703424, + 368595504, + 386810061, + 27609050, + 60057627, + -1, + 442370150, + 239347052, + 83055724, + 255187617, + 668716144, + 449144017, + 616427681, + 987931069, + 664883526, + -1, + 187524869, + 112101201, + 322989691, + 817191244, + 748511118, + 152809731, + -1, + 502696761, + 24350175, + 676222247, + -1, + 193123270, + 556626677, + -1, + 974504168, + 211300563, + -1, + 113631193, + -1, + -1, + 661596556, + -1, + -1, + 495593662, + 837690313, + 924225690, + 75374831, + 885679162, + 488269173, + 444665995, + -1, + 745468012, + -1, + 50290101, + -1, + 646045786, + 282793907, + 925236568, + 38977923, + -1, + -1, + 725110971, + 57502182, + 185599882, + 17295538, + 41112974, + -1, + 238410236, + 681788629, + -1, + 807208829, + 639642877, + 56159685, + -1, + -1, + 189572648, + 972806966, + -1, + 611267371, + 305222237, + -1, + 440494041, + 267339773, + 277530098, + 229647706, + 256433025, + -1, + -1, + 962210579, + 86528596, + 910551693, + 649992138, + 765738926, + 680707454, + -1, + 451846660, + 539687021, + 430930427, + 908157566, + -1, + 670253828, + 94497064, + 959495478, + -1, + 764683753, + -1, + 981846491, + -1, + 864008537, + 869658876, + 738526659, + 469908163, + 553795718, + 473943461, + 756873725, + 537998057, + -1, + 933679363, + 221732967, + 509310101, + -1, + -1, + -1, + 491686061, + -1, + 396095283, + -1, + 696486166, + 869451990, + 344017658, + 127387353, + -1, + 616001404, + 893125721, + -1, + 595246401, + 977503120, + 892420605, + 181609890, + 111526762, + 905227226, + 689173283, + 595319408, + 712495115, + 48100827, + 429965954, + -1, + 183494313, + 299172133, + 312296714, + 192932514, + 211231012, + -1, + -1, + -1, + 166590440, + 540274213, + 907051829, + 598331043, + -1, + 752130208, + 543690723, + 869258493, + 948250397, + -1, + -1, + -1, + 442008735, + -1, + 480314419, + 923876895, + 299112914, + -1, + 788171344, + 991138394, + 152632380, + 507046946, + -1, + -1, + 653879000, + 695123682, + 181950224, + -1, + 240977341, + 618592997, + 394311238, + 253972943, + 993575626, + 723672675, + 689481579, + 613355252, + 205202455, + 95068165, + 241653245, + -1, + 951047189, + 458449650, + -1, + 815505559, + -1, + 712110915, + 565572770, + 838242708, + 805668521, + 576848794, + 519165790, + 850770388, + -1, + 287979058, + 838796178, + 63425724, + 506670444, + -1, + 451978051, + 125530637, + 868915171, + 799324966, + -1, + 121482752, + 676553148, + 504819364, + 252233948, + 301972434, + 331838117, + -1, + -1, + 416939718, + 965227844, + 11545043, + -1, + 778947724, + 622915253, + 382920296, + 894384999, + 784391823, + 906796762, + 355638021, + 738423410, + 210027641, + 696804164, + 278614893, + -1, + 60172959, + -1, + 632477577, + 353391492, + -1, + 971941940, + 234617273, + 68813037, + 221223457, + 868108837, + 76501354, + -1, + 562054482, + -1, + -1, + 59287725, + 952154987, + 33582514, + 300847754, + -1, + -1, + 689526852, + -1, + -1, + 742026848, + 883850772, + 812491291, + -1, + 204007035, + 272097253, + 964738234, + 845806359, + -1, + -1, + -1, + 994740427, + 112478477, + -1, + 7399083, + -1, + -1, + 42732554, + 191898330, + 523860002, + 124388888, + 458205364, + -1, + -1, + 212908217, + 54645844, + -1, + -1, + 444599600, + -1, + 752580515, + -1, + 313231986, + 757471719, + 242595651, + -1, + 842935044, + 170569148, + -1, + 753089944, + 771500688, + 910023007, + 185889011, + 776193927, + 976487606, + 670668564, + -1, + 367868856, + 948261231, + 323777076, + 108304993, + 181190242, + 670059465, + -1, + 184574808, + 905356040, + 804711431, + -1, + 95846474, + 162814490, + 943766982, + 705624556, + -1, + 171014823, + 137828179, + 52559601, + 218141807, + 397103044, + 341820096, + 458073654, + 864757748, + -1, + 698287460, + 667566663, + 562939099, + 369950106, + 281996534, + -1, + 67182976, + 704087446, + 590659217, + 643715652, + -1, + 63708986, + 458029704, + 509589890, + 514437941, + -1, + -1, + 822052968, + -1, + 980603024, + -1, + 498008946, + 943506742, + 611177219, + 716029818, + -1, + 390678124, + -1, + -1, + -1, + 918912182, + 961626868, + 788407529, + 383570426, + 431890257, + -1, + 47423693, + 55401036, + 199193407, + 903104992, + 992505501, + 264205942, + 602139823, + 29453139, + -1, + 676575636, + 720441128, + 740285258, + 823142711, + -1, + 612170163, + -1, + 665619946, + -1, + 747060533, + 302166890, + 199274901, + 714808311, + 650769793, + 732045094, + -1, + 144168951, + 580401425, + -1, + 841591817, + 761416253, + -1, + -1, + 739781709, + 698830273, + 434408824, + 877040275, + 84379610, + 923634792, + 744171695, + -1, + -1, + 365591793, + 772854384, + -1, + -1, + 25934211, + 31979, + 776646989, + 790326541, + 354203704, + 960042673, + 467353784, + -1, + 240556334, + 942457589, + -1, + 235725979, + 133371148, + -1, + 936312175, + 370905350, + 387319522, + 53994576, + -1, + 149787504, + 593033165, + 705760796, + 637003070, + 596092032, + 650363378, + 298437820, + 585143279, + 249985719, + 966479521, + 482683595, + 584800459, + -1, + -1, + 432380325, + 506874885, + 439673014, + 747244357, + 372970320, + 740957536, + -1, + -1, + -1, + 89561719, + 345742717, + 399313246, + 973998179, + 707440274, + 778996629, + 731594669, + 984717549, + 876871902, + 292257072, + 399911222, + 1758281, + 247284199, + 348827240, + 367884016, + 52837963, + 366738970, + -1, + -1, + 242609187, + 369162804, + 660286699, + -1, + 45178748, + -1, + -1, + 156923848, + 708182668, + -1, + 246011833, + 348399317, + -1, + 736559431, + -1, + 285811093, + 158306521, + 690070492, + 112950430, + -1, + -1, + 53590964, + 616295634, + 696034338, + 749973503, + -1, + -1, + 271256154, + 459948255, + -1, + -1, + 110870870, + 886855171, + 68297398, + 327822024, + 710208886, + 317972015, + 847505514, + 58310619, + -1, + 630903463, + 552042254, + 641355739, + 425182375, + 57183449, + 634290733, + -1, + 119620360, + 528614502, + 350631564, + 280504893, + 305426440, + 869888949, + -1, + 687371766, + -1, + -1, + -1, + 287827350, + 16752467, + -1, + 20734690, + 481910373, + 874231591, + 764470274, + 150490446, + -1, + 96638996, + 226051204, + -1, + 765648666, + 330283143, + -1, + -1, + 117663185, + 876983233, + 445577694, + -1, + 605712188, + -1, + 384377188, + -1, + 477474012, + -1, + -1, + 224883882, + -1, + 126956896, + -1, + 45252387, + 180616766, + 194145117, + 697853906, + -1, + -1, + 894457645, + 672537933, + 269229540, + 7281857, + 572151548, + -1, + 95721799, + 24574822, + -1, + 817924079, + 118530514, + 560528551, + 65633478, + 272705162, + 310146897, + 608495411, + 384193952, + 780388551, + 767356584, + 978636095, + -1, + 744090727, + 811779124, + 226055334, + -1, + -1, + 405260950, + 338992899, + 526246009, + 94718247, + -1, + 366636321, + 964121126, + 917974693, + 88821145, + 44310840, + 213407690, + -1, + -1, + 109747113, + 863211289, + 224962900, + -1, + 888125603, + 532966366, + 242507035, + 847349327, + 697555101, + -1, + 583683826, + 804039569, + 972942421, + 282972426, + -1, + 307860726, + -1, + 708237449, + -1, + 799280017, + 502300570, + 724480273, + 72505134, + 316884923, + 384795400, + 191963645, + -1, + 58398086, + -1, + -1 + ], + "output": 995775846 + }, + { + "input": [ + 956058835, + -1, + -1, + 295614205, + -1, + -1, + 995266271, + 253581494, + 131516754, + 860480023, + 538501828, + 749077845, + -1, + 394524711, + -1, + 128589010, + -1, + -1, + -1, + 67633240, + -1, + 31184951, + 809174041, + 9503339, + 96291540, + 684897801, + 338180187, + 175066083, + 717171296, + 185420529, + 136088588, + -1, + 80802829, + -1, + 214223285, + 433827257, + 431428091, + 407629530, + 809415140, + -1, + 124043947, + -1, + 282417820, + 566383852, + -1, + -1, + 582284507, + 386757364, + 50857967, + -1, + 48611692, + 153042945, + -1, + 956444996, + -1, + 108537616, + -1, + 418427963, + 138609487, + -1, + 90469596, + -1, + 825094524, + 54447104, + 212741919, + -1, + 913533002, + -1, + 302904812, + 383809918, + -1, + -1, + 391522822, + 735794258, + 960672773, + 608205301, + -1, + 734731250, + -1, + 187048185, + 143875171, + 11808802, + 223192285, + -1, + 873764560, + -1, + 961985727, + 273361591, + 701452891, + 301857047, + -1, + 137814718, + -1, + -1, + -1, + -1, + -1, + 861901726, + -1, + 138425992, + -1, + 530200928, + 792682355, + 906757528, + -1, + 482408118, + -1, + -1, + 766274700, + -1, + 220322026, + -1, + 295441111, + 145236974, + -1, + 412752660, + 261991339, + 912970584, + -1, + 588775682, + -1, + -1, + 256080357, + 455150030, + -1, + -1, + -1, + 664286988, + 457415977, + 161724641, + 846849378, + 962806503, + -1, + 243643324, + 428992245, + 397263043, + -1, + -1, + 149820414, + -1, + 870121691, + 877123752, + 809460308, + 901507790, + -1, + 679339529, + 571218257, + 5590904, + 860451058, + 749290709, + 783788631, + 967550699, + 466938727, + 989392635, + 6732105, + 842290827, + 553100759, + 589024387, + 151891880, + 759168198, + 971239733, + 37393931, + -1, + 845531038, + -1, + 234306983, + -1, + 648121502, + -1, + 827692006, + -1, + 210350626, + 698413591, + -1, + -1, + -1, + 334423716, + 16941357, + -1, + 203521602, + 301690139, + 285131736, + 544378252, + 378042503, + 96738181, + -1, + 436801945, + 835652134, + 986827578, + -1, + 989003641, + -1, + 325856870, + -1, + 606536175, + 137892084, + 945959345, + -1, + 384393903, + 259430615, + -1, + 228407363, + 125401493, + 585632590, + -1, + 604766365, + 473408762, + -1, + -1, + 42731535, + -1, + -1, + 654464618, + 724863203, + 987426749, + -1, + -1, + -1, + 131140581, + -1, + -1, + -1, + 368673133, + 104660020, + -1, + 586512921, + 569499972, + -1, + 229940555, + 609885978, + 949954357, + 253285771, + -1, + 896850430, + 864297584, + 765049683, + -1, + 189684217, + 975003952, + 690467239, + 254647888, + 815055563, + -1, + 396636410, + 387885239, + 261103824, + -1, + 498412263, + 980464656, + 821874975, + -1, + 79948889, + 710833898, + 145404700, + 543002240, + 643273424, + 89268489, + -1, + -1, + -1, + 677590779, + -1, + 539770788, + 895725114, + 631040474, + 205100482, + 745904619, + 567896481, + 847553328, + 561292300, + -1, + 401566637, + 82062148, + -1, + 106004615, + -1, + -1, + 478979010, + 126650796, + -1, + 102321508, + 707394684, + 233135629, + 873075425, + 987639123, + 727054174, + 748741802, + -1, + 344340016, + 192439768, + -1, + 514227317, + 120626159, + 586163593, + -1, + 455149764, + -1, + 783422123, + 487324559, + 243512055, + -1, + -1, + 591796401, + 60332288, + -1, + 900757583, + -1, + 383843157, + 834325985, + 821069858, + -1, + 120165920, + 812568950, + 18486068, + -1, + 876164309, + 605294843, + 21871862, + -1, + -1, + -1, + 705487767, + -1, + 877960891, + 548153799, + 770863041, + 406378422, + -1, + 786786095, + 352774111, + 398389609, + -1, + 898995913, + 286276851, + 833562052, + 890104125, + -1, + 653456987, + -1, + 597317027, + 450874870, + -1, + 151794036, + 358629422, + -1, + -1, + 410448114, + 59423248, + -1, + 702030660, + -1, + 661440988, + -1, + 338106020, + -1, + -1, + 428522479, + 7439330, + 939248224, + 813623079, + 626329787, + 200330465, + -1, + 91205263, + -1, + 707623764, + -1, + 110593283, + 25909410, + -1, + 664789135, + 394624690, + -1, + -1, + -1, + -1, + 904338250, + -1, + 550241400, + 682874622, + 419414505, + -1, + 689873984, + 126019782, + 987726894, + -1, + 215966550, + 261925606, + 525390026, + 669538323, + 89508294, + 894827566, + 535360771, + 115970973, + 267289506, + 58215697, + 928593846, + 112836061, + 699731404, + 286328162, + 459648192, + -1, + -1, + -1, + 634024621, + 296004413, + 986144934, + 787265128, + 255280151, + -1, + 897064636, + 945103420, + -1, + 815711201, + -1, + 850309841, + -1, + 150428220, + -1, + 435933069, + 71903154, + -1, + 565470080, + 266970988, + 354745628, + 979799847, + -1, + -1, + -1, + -1, + 7999831, + 724319635, + -1, + -1, + 389279843, + 875619018, + -1, + -1, + -1, + 79509399, + 847708322, + 728515925, + 252970176, + 134211086, + 533560294, + 940459428, + 731008781, + 758656190, + 184774933, + 423678146, + 154505719, + 96663238, + 346750472, + 752527999, + -1, + 475242144, + 633500583, + 150312140, + -1, + -1, + 755642536, + 519030068, + 637596198, + 752201974, + 162291112, + 959701058, + -1, + 371708603, + 118260563, + -1, + 741905605, + 734037701, + 635943607, + -1, + 560624042, + 901444527, + 562783417, + -1, + 318250478, + 482241554, + 125243788, + 966862326, + -1, + 676457116, + 576975835, + 789232780, + -1, + -1, + 133973399, + -1, + 173219748, + 731659008, + 493808703, + 151998865, + -1, + 403558217, + -1, + -1, + 182468163, + 652252759, + 97596092, + 175556922, + 472326062, + -1, + -1, + 185945827, + 291105892, + 79495687, + 731663987, + 67449823, + 662758059, + 978791592, + 883110175, + 652861553, + 4975856, + 102000676, + 200332240, + 317030280, + 727268407, + 184572773, + -1, + 955438905, + 734126510, + 436937354, + -1, + -1, + 784593181, + -1, + -1, + 830467766, + 658118362, + 304797657, + 326947558, + -1, + -1, + -1, + 325410858, + 364951910, + 857783737, + 79293295, + 38921064, + -1, + 459706393, + -1, + -1, + 437246932, + 456093586, + 911349036, + 974185443, + -1, + -1, + -1, + -1, + 944116423, + -1, + -1, + -1, + -1, + 391645989, + 85556423, + 294000422, + -1, + -1, + -1, + -1, + 402984422, + -1, + 952775108, + 386884448, + -1, + 829503766, + 819607560, + 38604657, + 884462837, + 18871524, + 741345296, + -1, + 687626435, + 751298529, + 833247482, + -1, + 743740414, + -1, + -1, + -1, + 325589971, + -1, + 405422989, + 815031069, + 955022231, + 672001822, + 647008544, + -1, + -1, + 901195984, + 620892159, + 626925928, + -1, + -1, + 826554650, + -1, + 822475893, + -1, + -1, + -1, + -1, + 11862375, + 618679923, + 419055793, + 390100205, + -1, + 193945920, + 937210935, + -1, + 265166053, + -1, + -1, + 660349694, + 559523138, + 463712406, + -1, + -1, + 52694099, + -1, + 519412786, + -1, + 302361992, + 932127972, + 129628806, + -1, + 468667974, + 435577815, + 376781072, + -1, + -1, + -1, + -1, + 890173073, + 190691091, + 265838404, + -1, + 396510313, + 869415093, + -1, + 926679478, + 714801347, + -1, + 307900291, + 447715806, + -1, + 561098934, + 586845506, + 924193173, + 371101173, + -1, + 751787111, + 598422829, + 813899029, + 471968330, + 445770808, + 626233598, + 937162776, + 667332201, + 202117492, + 408317602, + 71920151, + 931837099, + 863561821, + 920450900, + 760327851, + 229889769, + 899397085, + 581505118, + -1, + -1, + 285713977, + 664831256, + 214698398, + -1, + 424923882, + 138346774, + 40128765, + 408094734, + 903779864, + -1, + 265952218, + 507998608, + 740676896, + 389677726, + -1, + -1, + -1, + -1, + 60807593, + -1, + 626372241, + 885315927, + 639531582, + 405051791, + 34480130, + -1, + 266268927, + -1, + 629057959, + 655142641, + 139464004, + -1, + 722416103, + -1, + -1, + -1, + -1, + -1, + 681506656, + 45826187, + 470476300, + -1, + 267197640, + -1, + 384925194, + -1, + -1, + 750221937, + -1, + 164606175, + 309095561, + 484510004, + -1, + 743803165, + 328833147, + 989035116, + 816545109, + 277171926, + 185866242, + -1, + 358818580, + 69602912, + 739500085, + 580016317, + 377999894, + 113035087, + 140427532, + 380334070, + 482548081, + 472757731, + 971710266, + 398011698, + -1, + 561463231, + -1, + 619876977, + 490385810, + -1, + 1697820, + -1, + -1, + -1, + 316586215, + 613644382, + -1, + 107964163, + 944117227, + -1, + 722311831, + 320952985, + -1, + -1, + 590443571, + 875752773, + 641742413, + 75140278, + 510833760, + 165984198, + 601806920, + -1, + 330087097, + 353546876, + 447078996, + 994286139, + 424585794, + 830036608, + 409084515, + 45215094, + -1, + 237055127, + 763484954, + -1, + -1, + 646866517, + 400660522, + 717898042, + 669201958, + -1, + 826642090, + 284709541, + 549918772, + 988554349, + 925118776, + -1, + 502048249, + -1, + -1, + -1, + 868863646, + 791850449, + -1, + 710603672, + 156516899, + 407802594, + 518864321, + -1, + -1, + 958555654, + 555790551, + 41120307, + 86024846, + -1, + -1, + 564192434, + 92971232, + 435851960, + -1, + 886643058, + 266027573, + -1, + 294021386, + 186668276, + -1, + 6454940, + 596747391, + -1, + 243648755, + -1, + -1, + -1, + 611267055, + -1, + 402214091, + 175457227, + -1, + 828285820, + 159909982, + 479842270, + 227295568, + -1, + -1, + 600731627, + 610595466, + 342850191, + 51230564, + 951893881, + -1, + -1, + -1, + -1, + -1, + 977349424, + -1, + -1, + 914516647, + 899473244, + 584409080, + 349731400, + -1, + -1, + -1, + 546873755, + 407792344, + -1, + 730214787, + 244802255, + 134693381, + 194453378, + 331791782, + 159788146, + 385969827, + 333438631, + 752103665, + 940282396, + -1, + -1, + 821381660, + 666262750, + 271791120, + 309110907, + -1, + 442431057, + 911191720, + 709240094, + 297987223, + -1, + 358968438, + -1, + 652740788, + 619659297, + -1, + -1, + 363406376, + 140937124, + 705903144, + 533795095, + 627790060, + 553619508, + 602929054, + 257026411, + 489487369, + -1, + -1, + 222469229, + 126412939, + -1, + 340327779, + 536571235, + 43408183, + 840186457, + -1, + -1, + 707680737, + -1, + 469200460, + 919192044, + -1, + -1, + 328890620, + 285922083, + 727886636, + -1, + 690765841, + 628307593, + 54851870, + 289419457, + 183064461, + -1, + -1, + 72491958, + 901993767, + 318148537, + 610974953, + -1, + -1, + 193855445, + 427679208, + 550433484, + 344751630, + 593203219, + -1, + 282564927, + 313524060, + 852520747, + 548560313, + 178063394, + 980543431, + 4935149, + -1, + -1, + -1, + 222878623, + 575343651, + 536614017, + -1, + 252922245, + 885722808, + -1, + 267464580, + -1, + 221433064, + 378029066, + 816930338, + 468515904, + -1, + 160690992, + -1, + 478467077, + -1, + 520197520, + 604743887, + -1, + -1, + 177133552, + 867914318, + 504788888, + -1, + 928458243, + 425585858, + -1, + -1, + 488695081, + 687808842, + -1, + -1, + -1, + -1, + 25841724, + 782946348, + -1, + 723878271, + 278050424, + 252291305, + 681291320, + 549764658, + 845698867, + 997614317, + 715509581, + 94583795, + 967098394, + 650330387, + 408852242, + 96049443, + -1, + -1, + -1, + -1, + 95864941, + 127897760, + 78849426, + 415569640, + 223400531, + -1, + 615532196, + -1, + 990704720, + 150945592, + 136048106, + 586846407, + 312831329, + 557930198, + 634713837, + -1, + -1, + 840898416, + 280023430, + -1, + -1, + -1, + 848011595, + 77874846, + 490177724, + 424993174, + -1, + 342441162, + 28699406, + 362399146, + 954628641, + 824428461, + -1, + 385503603, + 567467521, + 817831097, + -1, + -1, + -1, + 458497060, + -1, + 373319615, + 220946939, + -1, + 855616131, + 654118687, + 783616810, + 957155713, + 817654346, + -1, + 156385069, + 424497028, + 948918280, + 44400318, + 326911988, + 423321842, + 363283229, + 676641645, + 4744704, + 320346029, + -1, + 636082203, + 671905873, + -1, + 473779765, + -1, + 483439259, + 502742099, + 119982835, + -1, + 52124302, + 979994904, + 847969025, + 410125543, + 612601096, + 109756081, + 402150216, + -1, + -1, + -1, + -1, + 786039760, + 860210059, + 869965756, + -1, + -1, + -1, + 207958091, + -1, + 83986292, + -1, + -1, + -1, + 616442467, + 245100162, + 465742153, + 936622549, + 204007708, + 197881245, + 529279477, + -1, + 438819139, + 792595411, + 842670759, + 471101976, + -1, + -1, + -1, + -1, + -1, + 236322890, + -1, + 418103778, + 218420099, + 502971189, + 77151438, + 761636736, + 647279950, + 237268254, + 246802609, + 491796652, + 439171114, + -1, + 328972835, + -1, + 323209472, + 603723664, + 647076747, + 667489602, + 483650843, + 153389634, + 416492656, + 775554331, + 721238968, + -1, + 678425749, + -1, + 820380646, + 360504787, + 315227461, + 103078298, + -1, + 369151013, + -1, + -1, + 519878446, + 552584409, + 566755556, + 917581034, + 93221079, + 477174279, + 360897222, + 137555695, + -1, + 740861745, + 728603973, + 394470078, + -1, + 216226926, + 923418398, + 706047631, + 412066990, + 330552878, + -1, + -1, + 592212260, + -1, + 889426708, + 736524069, + 517322025, + 246051682, + -1, + 4737575, + 408279710, + 70515025, + 184543831, + -1, + 317364721, + -1, + -1, + -1, + 931957906, + 616770047, + -1, + -1, + 482823556, + 242197116, + 147894048, + 967671732, + 278671300, + -1, + -1, + 70942401, + 691204524, + 404743956, + 185138692, + 310359166, + 63139957, + -1, + 210355037, + 996569662, + 161692434, + 640097470, + 667688341, + 246186919, + 465840510, + -1, + 618333404, + 948252261, + -1, + -1, + 136142256, + 484978286, + -1, + 224762805, + 664700897, + 318400638, + 813154249, + -1, + 2748515, + -1, + 798137346, + -1, + 578304020, + 353315085, + 36936453, + 441037544, + -1, + -1, + 143267257, + 344899555, + 795987699, + 966180404, + 484738874, + 136217186, + -1, + 640114707, + 338758186, + 567677833, + 916999916, + 70083995, + -1, + 155627975, + 524754423, + 960593730, + 837831910, + 760557834, + 782790828, + 223395982, + 206626572, + 633950038, + -1, + -1, + -1, + 536540305, + -1, + 486213781, + 351596141, + -1, + 456564994, + 117070448, + 325912491, + -1, + 68052160, + 775899936, + 317309366, + 601659240, + 460867319, + 698072076, + -1, + 197662315, + 84143024, + -1, + 649117103, + -1, + -1, + 647282193, + 283390263, + 917523326, + 146729254, + 81988922, + 3770219, + 278130718, + -1, + 485980933, + 46290936, + 993334462, + 126372355, + 774549224, + 887488498, + 956568831, + 770205649, + -1, + 247506404, + 345974405, + 473735038, + 661107894, + -1, + 235953376, + 309535773, + -1, + 702976473, + 764580504, + 906603407, + -1, + 908279992, + 4204554, + 808458096, + 76433428, + 46985558, + 878630572, + -1, + 318726379, + -1, + -1, + -1, + -1, + -1, + 672394096, + 477899830, + 741793269, + 284962961, + -1, + -1, + 562821190, + 685863992, + -1, + -1, + -1, + 622206941, + 775725884, + 413730017, + -1, + 915821942, + 418421136, + 698313034, + 164095250, + 492007704, + 559664150, + -1, + -1, + -1, + 636523706, + 254484906, + 322094112, + -1, + 44853103, + 103001244, + 525905270, + 933881641, + 601476434, + 134699154, + 166857235, + 630917259, + -1, + 724755384, + 400594786, + 516325436, + -1, + 473629514, + 801992494, + 713388883, + -1, + 407943443, + 969422374, + 717562278, + 48040439, + -1, + 39854149, + 30545493, + 480185905, + -1, + 305131527, + 971134160, + -1, + 635188121, + 467096731, + 774858795, + 165451683, + 92598182, + 205419087, + 686592086, + 968678958, + -1, + 235927793, + 266014971, + 715703221, + 356183877, + 529460153, + -1, + 542088458, + 573424529, + 301102290, + -1, + 76995223, + 665647510, + 33808883, + 123500308, + 465325501, + 692035226, + 412449262, + 539898589, + 630793583, + 69299703, + 24241067, + 603774780, + 932539766, + 316544908, + 66758722, + -1, + 478982816, + 536786642, + 671714840, + 163006883, + 915886701, + 251956488, + 184390910, + 59370231, + -1, + 67000876, + 833197814, + 266417566, + -1, + 240520613, + 987624668, + 653767303, + 297464981, + -1, + 255449398, + 224391865, + 458268461, + -1, + 287018071, + -1, + 858041407, + -1, + 525581837, + 544870302, + 301375293, + -1, + 575556385, + 921644334, + -1, + 251476353, + 118369005, + -1, + -1, + 376918369, + -1, + -1, + 65886496, + 627929669, + 197879888, + 667907038, + 824959613, + -1, + 494545221, + 705646995, + 194997350, + -1, + 451315479, + 919975654, + 1462858, + 774768224, + 562926323, + -1, + 716997227, + 840199345, + -1, + -1, + 598179713, + 153687818, + -1, + -1, + -1, + -1, + -1, + 53326092, + 226492726, + 135425560, + 196568045, + 581314598, + -1, + 302320513, + 730327921, + 543832211, + 477387975, + 247266767, + 385542069, + 167719894, + 615007892, + 206675234, + 830895452, + 152938601, + 323321364, + -1, + 728797799, + 559182379, + -1, + -1, + 330137725, + 269622642, + -1, + -1, + 445206192, + 39374753, + 272072885, + 167835529, + 805414611, + -1, + 107411748, + -1, + 651105691, + -1, + -1, + 24998645, + 697082881, + 496081016, + 138293772, + 8637806, + -1, + 653941692, + 427651343, + 377401083, + 80645607, + -1, + 600959977, + -1, + 208019865, + 998708719, + -1, + -1, + 530754969, + 868084667, + -1, + 353448053, + 147749926, + 575054727, + 889790901, + -1, + 583546829, + 275121194, + 606651102, + -1, + 650493486, + 370983840, + 232532380, + 385515633, + 66591361, + 548628444, + -1, + -1, + -1, + 239815705, + 669204234, + 454408596, + 847855647, + 590959834, + 719399606, + -1, + -1, + -1, + -1, + 658071178, + -1, + 597538687, + 980487486, + 864781468, + 137486336, + -1, + 460491646, + 226084133, + 980100262, + 904501709, + -1, + -1, + -1, + 294519537, + -1, + 360829902, + 414628035, + 494910855, + 557143978, + 332154252, + 841915449, + 495374711, + 901068398, + 94832729, + -1, + 693956311, + 249634877, + 283254422, + -1, + 916498852, + -1, + -1, + 294756656, + -1, + -1, + -1, + -1, + -1, + -1, + 360905483, + -1, + 753794316, + -1, + -1, + 430211990, + 678100167, + 981537855, + -1, + 201269695, + -1, + 476738400, + 583856640, + 35783846, + 648343740, + 954851952, + -1, + 940227126, + 544805227, + 632632163, + 399949349, + 479106976, + 128051700, + 481971328, + 90777913, + 12035568, + -1, + -1, + -1, + 337252984, + -1, + 369836798, + 69642410, + -1, + 397748192, + 652938963, + 29560058, + 170700734, + -1, + -1, + 28897407, + 562911002, + -1, + -1, + 118598184, + -1, + -1, + -1, + -1, + 704146695, + 809115915, + 961511580, + -1, + 276913319, + 225839447, + 424084683, + -1, + -1, + -1, + 246752174, + -1, + 225816033, + 32421688, + 746095570, + -1, + 937527779, + 574278315, + 214670054, + -1, + 546308361, + -1, + 55289893, + 251286102, + 80992253, + 965451062, + -1, + 647968119, + 186612302, + 191538648, + 643997218, + 656234689, + 487118702, + 969862569, + 503783681, + 135627545, + -1, + -1, + 934011948, + -1, + 757779960, + 451001576, + -1, + 227444593, + -1, + -1, + 650878685, + -1, + 856422135, + 804003055, + 580899503, + 978220852, + 390565097, + -1, + 968434234, + 579596576, + 714302095, + 305538447, + 205060682, + -1, + 809451372, + 603035303, + 404784508, + -1, + 733532940, + 522316524, + -1, + 859157743, + 268575669, + -1, + 760536951, + 991761216, + 456330263, + 619883911, + 314490074, + 375659840, + -1, + 828575573, + 460249283, + 824085716, + -1, + 626808831, + 112168656, + 281513163, + -1, + 416658595, + -1, + -1, + -1, + -1, + 159952951, + 411249772, + 676253624, + 997190703, + 855941080, + -1, + -1, + 678335431, + -1, + 304915116, + 620064815, + 896782399, + 500640039, + 281985218, + 184300553, + 916665765, + 689344956, + 63514664, + -1, + -1, + 206406252, + 144829137, + 399805927, + -1, + 553739864, + 149089745, + -1, + -1, + 404266946, + 482708787, + 267569040, + 972893681, + 45520241, + 13276183, + 825298458, + 48352007, + 188737134, + -1, + 398550061, + 828300686, + 162637676, + 471143725, + -1, + 315649695, + 725646597, + 386302776, + 62235403, + 749690366, + 840316104, + -1, + -1, + 640004753, + 876450180, + -1, + 672356811, + 793390254, + 271170780, + -1, + 648298216, + 299780291, + 950322367, + 185450158, + 834696174, + 631018329, + 265968716, + 943250434, + 271261577, + 194621659, + 962979330, + 132727247, + -1, + 531697397, + 106552793, + 813404363, + -1, + 359623082, + -1, + 904682566, + 110343150, + 912747152, + 148476598, + 737002081, + 999089393, + 149806802, + -1, + 979915381, + 556738843, + 634434152, + 435379552, + 409384660, + 271371726, + 311927610, + 100784568, + 440887165, + 164516752, + 841742214, + 257550635, + 952089120, + -1, + -1, + 635939101, + -1, + 790753724, + -1, + 119295635, + -1, + 897695313, + 488681061, + 942607012, + -1, + 33497548, + -1, + -1, + 992618348, + 322566679, + 278161345, + 460048055, + 451355499, + -1, + -1, + 871203726, + 985043157, + 661282755, + -1, + 235912661, + 844107311, + -1, + 23910007, + -1, + 938766403, + 976858392, + -1, + 395543998, + 955471918, + 940116162, + 242401437, + -1, + -1, + 527040072, + 666001986, + -1, + 91741444, + 903909003, + 171788329, + 733606364, + 880936121, + 619918007, + 74939524, + 292167368, + 486294047, + 221988630, + 159471644, + 217459117, + 298980328, + 8726447, + 71032924, + 587594540, + 470734671, + -1, + 230282550, + 43989251, + 100049253, + -1, + 24659205, + -1, + 238317819, + 652467935, + -1, + 976182027, + -1, + 537830025, + -1, + 633438909, + 9606242, + 462391353, + 487007358, + 66044651, + 758701344, + -1, + -1, + 135241573, + 582447379, + 600884658, + -1, + 214380174, + -1, + 942198674, + 278771300, + -1, + 64884211, + 776210191, + 981193352, + -1, + 172283590, + -1, + 768325209, + 345175697, + 647670244, + -1, + 472957080, + 89108722, + -1, + -1, + -1, + 892158184, + 42566373, + 862031168, + -1, + 539302191, + 825364954, + 720490711, + 595086351, + 307038733, + 18969037, + -1, + 870308391, + 735291763, + 893696221, + 771493313, + 102891354, + 361376977, + 859217098, + -1, + 228191820, + -1, + -1, + 788437796, + 445453480, + 490773643, + 659694081, + -1, + 146655667, + 444874243, + 425829128, + 849071392, + 496020118, + 634084812, + 668372180, + 16635220, + 635632360, + 982573730, + 899606468, + -1, + 690435767, + 747373419, + 91232105, + -1, + 145187123, + 130056695, + -1, + 942883298, + 141646168, + 195593430, + 584483435, + -1, + 451446594, + -1, + -1, + 171628321, + 441075660, + -1, + 899542287, + -1, + -1, + 13405349, + 742838147, + -1, + 629944483, + 191293143, + 124625957, + 587483520, + 336217933, + 994630473, + 385838925, + 444158685, + 985409864, + 311459471, + -1, + 129342812, + 25619714, + -1, + -1, + 944652020, + 429698002, + -1, + 990379266, + -1, + 722152971, + 546495882, + 661406812, + 543881773, + 412617817, + 287058750, + 247964784, + -1, + -1, + 918420970, + -1, + 637687593, + 253074734, + 939815136, + -1, + 659184648, + -1, + 778281881, + -1, + -1, + 871826076, + 219370093, + 545269819, + 255618713, + 548085402, + 914058607, + 461051057, + 306872311, + -1, + 561904034, + 896371953, + 444898621, + -1, + 206090867, + 504427558, + -1, + 130765631, + -1, + 920872203, + 432467498, + 441150833, + 528198598, + 869647381, + 721304112, + 560344395, + 698461866, + -1, + 459418743, + -1, + 639937413, + 259037443, + 886254368, + 383864766, + -1, + 649484371, + -1, + 70086960, + 159999941, + 95183225, + -1, + -1, + 79382296, + 994825197, + 732208256, + 374404800, + 801814065, + 876351191, + 251487973, + 940451831, + -1, + 59513881, + 201241353, + 359126309, + 714459594, + 755283782, + 889833225, + 72983462, + -1, + -1, + -1, + -1, + 96591889, + 342896448, + -1, + 376477039, + -1, + 350547447, + -1, + 650924593, + 609571025, + 483376789, + 847160723, + 379519929, + 482658658, + -1, + 404026236, + 181923527, + 898991927, + 650987373, + -1, + 23270161, + -1, + -1, + 807942022, + 1734442, + -1, + 535354729, + -1, + 537419306, + 803611696, + -1, + 283574982, + 423646395, + 135806139, + 642076627, + 861306081, + -1, + 889850823, + 555472456, + 7393322, + -1, + 583468654, + 763769369, + -1, + -1, + 586754926, + -1, + -1, + 255911455, + 715679366, + 284399254, + 287364213, + 664013456, + 116618762, + 949177716, + 645489061, + 368177346, + 462137589, + -1, + 944594685, + -1, + -1, + 923834609, + 482702514, + 521200120, + 886015717, + 939494678, + -1, + -1, + -1, + -1, + 748900644, + 547488751, + 677298447, + 366740327, + 810316710, + 756668041, + -1, + 610521399, + 488747665, + 154423304, + 918499517, + -1, + 779628403, + 615380946, + 130302902, + -1, + -1, + -1, + -1, + -1, + 517281811, + 909783083, + 970215541, + 21183027, + 832868033, + 94469952, + 432493815, + -1, + -1, + 709719741, + 19609353, + 904558569, + 650919972, + 728125757, + -1, + 371540476, + 767082497, + 151924149, + 84220827, + 501958621, + 914007403, + -1, + 167283200, + -1, + -1, + 978623662, + 591402038, + -1, + 104924966, + 329966132, + 851245633, + -1, + 475869916, + 274492655, + 31845542, + -1, + -1, + 332300373, + 563501879, + 478157932, + 741596063, + 79898213, + 570695539, + 678027934, + 100661282, + 909038749, + 758228649, + 689549750, + -1, + 402965562, + 569275166, + -1, + 366034212, + -1, + 951849333, + 243524648, + 882614680, + 797574082, + -1, + 227967527, + -1, + 916043484, + -1, + 844166544, + 181340038, + 723244308, + -1, + 819980812, + -1, + 220231566, + -1, + 80204260, + 692239263, + 90931085, + 941437231, + 529067087, + -1, + 678555839, + 999250403, + 30761016, + 858158343, + -1, + -1, + 145855776, + 745705668, + 889809706, + -1, + 988964057, + 522113155, + -1, + 183891216, + 14321376, + 181688368, + -1, + 142963766, + 973471555, + 79242760, + -1, + -1, + 836847883, + 148542713, + 979049294, + -1, + -1, + 381660607, + 458172359, + 478479120, + 413737613, + 990776635, + 324344795, + 523493606, + -1, + -1, + -1, + 95778325, + -1, + 531313271, + -1, + -1, + 124341520, + -1, + -1, + -1, + 572934790, + -1, + -1, + 872871337, + 919182277, + -1, + 420413379, + 27377048, + 211056187, + 371038120, + 378594892, + 879850624, + 212030304, + 134396590, + 687794286, + -1, + 456386811, + -1, + -1, + 342234184, + 623633649, + 607320218, + -1, + 205255021, + 382894094, + -1, + 58186888, + 972844585, + -1, + -1, + 867503677, + 738287554, + 503949831, + -1, + 302378523, + 110969083, + 531236112, + 494351322, + 145025244, + 342002084, + 188792072, + -1, + 404286361, + -1, + -1, + -1, + -1, + -1, + 406278254, + 95119173, + 63160839, + -1, + 346063967, + 636301326, + 53817282, + 27005458, + -1, + -1, + 81266065, + 326267074, + -1, + 359724811, + -1, + 227959025, + 502217968, + 782455832, + 311888796, + 842246252, + 136286902, + 984683782, + 362173548, + 54812775, + -1, + -1, + 766945118, + 624960791, + -1, + 878388482, + 166028985, + 370730303, + 351262775, + 83203538, + 888558705, + -1, + 71916152, + 736451528, + 923912350, + 31910242, + -1, + -1, + 366437854, + 778108842, + 624292287, + 723896858, + 571388053, + 658340259, + -1, + 464324116, + 562901194, + 181437732, + 316843560, + -1, + 694519644, + -1, + 862879267, + 379722388, + 701624362, + -1, + 197168507, + 511640105, + 451672337, + 529810876, + 729099590, + -1, + 987260794, + 291711071, + 51429160, + 195332365, + 235087930, + 45154172, + 773583146, + -1, + 831856468, + 184904884, + 660680318, + 22486427, + 739601041, + 247447847, + 463428064, + 125873904, + 977192424, + 170379846, + 133100026, + -1, + -1, + 520320597, + 35840653, + 231961982, + 543348828, + -1, + 240395815, + 516209165, + 482804077, + 386725642, + -1, + 34727415, + 14513526, + -1, + -1, + -1, + -1, + -1, + 952051104, + 503330092, + -1, + 149845991, + -1, + -1, + 767937716, + 58754344, + 713339250, + 321607971, + 30071630, + 992864626, + 223316676, + 160949930, + -1, + 44379367, + 596645449, + 436410909, + 859563773, + -1, + -1, + 799405249, + 727437439, + 679465178, + 694853813, + 201487340, + 750281809, + 766237790, + 749957078, + 590159290, + 694786008, + 658170385, + 285399712, + 791788169, + 844813935, + 136178600, + 551966114, + -1, + 73692250, + 383023253, + 414328853, + -1, + 975597459, + -1, + 798710408, + 794583202, + 889696348, + -1, + 921353005, + -1, + 139693897, + -1, + -1, + 764479768, + -1, + 680523853, + 356345030, + 89322403, + 225844841, + 44474322, + 515387763, + 349462821, + 713303741, + -1, + 276895988, + -1, + -1, + 249771719, + 951422850, + -1, + -1, + 249516631, + 418459709, + 452961008, + 67139580, + 863595906, + -1, + -1, + -1, + 857535213, + 346105287, + 236892116, + 155061949, + 443072582, + -1, + 178102550, + -1, + -1, + 850741927, + -1, + 613137576, + 391198131, + 19007556, + 398920714, + 898217675, + -1, + 428257672, + 785346819, + 403037727, + 884271224, + 458153286, + 561396499, + 12568322, + 872559281, + 252984040, + 165936010, + 550844915, + 901971896, + -1, + 36916119, + 226156907, + -1, + -1, + -1, + -1, + -1, + 44903080, + 986674710, + 888540547, + -1, + 652018343, + 302481991, + -1, + -1, + 625974736, + 716278462, + 670940876, + 354951753, + 924331216, + 232089621, + 750648299, + 83082329, + 978411422, + -1, + 50549628, + 75286613, + 918051445, + -1, + 659515998, + 512333699, + 901795500, + 22598002, + 868382764, + -1, + -1, + -1, + 871601593, + 745201712, + 267140957, + 218956772, + 819876073, + 709641109, + 860858828, + -1, + -1, + 533296003, + 252300119, + 75765062, + -1, + 940377808, + -1, + 460635638, + -1, + 47464826, + -1, + 726132604, + -1, + 633329177, + 809034537, + 211215524, + 445115429, + 268361462, + 48024611, + 992901347, + 143670449, + 308306930, + 296308479, + 288436175, + 19268985, + 851729660, + 515720382, + 600207832, + 54258672, + -1, + 946278934, + -1, + 318076281, + 383551714, + 930750554, + 530297644, + 173344156, + 937014827, + -1, + -1, + -1, + 993598302, + 259372815, + 736047641, + -1, + 924046768, + 167784927, + 73164124, + 349721845, + -1, + 497555088, + 459715687, + 320673688, + 489651631, + -1, + 860553242, + -1, + 940825784, + 643560961, + 39968185, + 754125617, + 283464138, + -1, + 946806225, + 373911063, + 547007841, + -1, + 579446500, + -1, + 109154544, + 443458, + 348556031, + 119242473, + 264399718, + 202768994, + 931486347, + 288005225, + 264905981, + 872240764, + 903255288, + 443978613, + -1, + 802508199, + 444007077, + 679882162, + 351439697, + -1, + 47368857, + 24299733, + 584088697, + -1, + -1, + 770169767, + -1, + 988589932, + 914760785, + 616597905, + -1, + -1, + 595289114, + -1, + -1, + 495089136, + 500347631, + 960742209, + 640909010, + -1, + -1, + 660884346, + 412134029, + 843649622, + 516648909, + -1, + 960632548, + 548356798, + 133986823, + 877587462, + 385822513, + 594343938, + 426833264, + 179796142, + 739780718, + 110686907, + 993303501, + 938327948, + 205150753, + 535510769, + -1, + 305441665, + 676876562, + 784229222, + 461045976, + 699195376, + -1, + 76996735, + 594231655, + 578764314, + 355283550, + -1, + -1, + -1, + 421462347, + 439093115, + 612108778, + -1, + 657015668, + 575738665, + 196713464, + 849770018, + -1, + -1, + 77399916, + -1, + 696805590, + 754490354, + 932197836, + 38642686, + -1, + 366705922, + 98927172, + 118983126, + 912658893, + 769513996, + 327966415, + 517984180, + 779375779, + -1, + 706928461, + 117333908, + -1, + 77334055, + 656068842, + 689915979, + 665367431, + -1, + 216972409, + -1, + 723986065, + 318040714, + -1, + -1, + 956745152, + 126272887, + -1, + 601718117, + 985920790, + 136936430, + -1, + 861747966, + -1, + 551431648, + -1, + -1, + 78950173, + 674642470, + -1, + 17621114, + -1, + 840667727, + 661637163, + 285252178, + 235058475, + 377244388, + 786140717, + -1, + -1, + 945355173, + 691071228, + -1, + 459529716, + 110270536, + 465544607, + -1, + 608561487, + -1, + -1, + 449311662, + 676486502, + -1, + 94798479, + 47731268, + 492048243, + -1, + 374123453, + 151390930, + 430044610, + 547299605, + -1, + -1, + 308310614, + 869554793, + 840600294, + -1, + -1, + -1, + 383675290, + 841579108, + 639582886, + -1, + 586447898, + 499940917, + 317825257, + -1, + -1, + -1, + 426572463, + 746185459, + -1, + 11836000, + 202787785, + -1, + 900176603, + 608211459, + 193916809, + 331746168, + -1, + 655185727, + 92158690, + 722862062, + 105996786, + -1, + -1, + 129096374, + -1, + 950983468, + 463990279, + -1, + 813534850, + 956665694, + 654657559, + -1, + 551040544, + -1, + 849968513, + 477059504, + 908698946, + 80519878, + -1, + 621512784, + -1, + 402446043, + 471162442, + 24182312, + 643105015, + -1, + 205103986, + -1, + 896560470, + 767586841, + 714945917, + 145746885, + 263307142, + 571992246, + 179235401, + 222244701, + 840072900, + 422281047, + 463147177, + 46315753, + 349908169, + 453936818, + -1, + 369132438, + 38182090, + -1, + 779647802, + 863660910, + 304840775, + -1, + -1, + 108338085, + 702527996, + 96931181, + 593961692, + 141178464, + 857235024, + -1, + 477255083, + 411588724, + 276652336, + 712758659, + 911618232, + -1, + 911931085, + 379109475, + 413118324, + 935181578, + 86194622, + 594461261, + 831188423, + 575223378, + 345980676, + 481184908, + 888964660, + 343698599, + 188502861, + 448368001, + -1, + 567897995, + 511114958, + 138644778, + -1, + 308513517, + 667511611, + 172292781, + -1, + 602174966, + 684969489, + 398549905, + -1, + 405797317, + 294425352, + 341749361, + 994621494, + -1, + -1, + 149852446, + 831005024, + 555175692, + 355090508, + -1, + 782566828, + 760067546, + 177149314, + 842940882, + 913193275, + 177380342, + -1, + 585488470, + 209859406, + 100232059, + 559901477, + 965349167, + 954787827, + -1, + 629009238, + 534393399, + 577925239, + -1, + 106941299, + 241312005, + 704122507, + 577907108, + 882926315, + 372575383, + -1, + 430204148, + -1, + 287461999, + -1, + -1, + 467416750, + -1, + 454246213, + -1, + -1, + 316954381, + -1, + -1, + 584343053, + 421717130, + 3767089, + -1, + -1, + -1, + -1, + 538039742, + -1, + 769089301, + -1, + 180048914, + -1, + -1, + 748046392, + 783494219, + 879053011, + 40640155, + 895980539, + 105515915, + 514055243, + 565584070, + 950094930, + 819915783, + 526671409, + -1, + 462817374, + 191078588, + -1, + 269444660, + 162134039, + 961838128, + 758723824, + 725902749, + -1, + -1, + 597614043, + 691235597, + -1, + 542648598, + -1, + -1, + 180035124, + 700972383, + 491208227, + -1, + 130675956, + 740821537, + 440571331, + 923729930, + -1, + 274002214, + 896089691, + 358377910, + -1, + 100878684, + 73198397, + 263981836, + 333528683, + 798120556, + -1, + -1, + 837404499, + 105169439, + -1, + -1, + 277763799, + -1, + -1, + 243121900, + 143831710, + 855348443, + 316294200, + 665029335, + 727921763, + -1, + 163146532, + 807144447, + 471221667, + 803177683, + 436163663, + -1, + 929600502, + -1, + 116977134, + 644030663, + 58062964, + 254022528, + 926212321, + -1, + 551656292, + 491842524, + 684680591, + -1, + 655965042, + 418155321, + -1, + 986146900, + 862618511, + -1, + -1, + 464320544, + 819275830, + 371762668, + 923350296, + -1, + 417867979, + 245485141, + 514680760, + 581540219, + 207713285, + 620985256, + 570390164, + -1, + 225601257, + 819136266, + -1, + 966090812, + -1, + -1, + 178135884, + 634356355, + -1, + 667486500, + 368883231, + -1, + -1, + 403152891, + 147234722, + 562611931, + -1, + 410200059, + 153650027, + -1, + -1, + 774032098, + 978221544, + -1, + 226677300, + 447160412, + 258136296, + 102841306, + 242439027, + 587205219, + 366689726, + 13246910, + 653409172, + 948840929, + 853387053, + 10406011, + -1, + 393621867, + -1, + 206657941, + 292267398, + 607361405, + 397866244, + 535527572, + 687670283, + 803787031, + -1, + 689674032, + 866902540, + 834821634, + 377178263, + 797649994, + 12003141, + 326424288, + 942120066, + 758908228, + 881774680, + -1, + 834474291, + 255718900, + 510273007, + -1, + 646262308, + 713648127, + 721833802, + 656194162, + 697494187, + 496463891, + -1, + -1, + 15760108, + 783710921, + 973472886, + -1, + 717796742, + 823414027, + 324927409, + 462412232, + 231547085, + -1, + 334671030, + -1, + 221043261, + 935106169, + 964452401, + 759188569, + -1, + 333832516, + -1, + 222801305, + 999472875, + -1, + -1, + -1, + 53017462, + 38465176, + 703170848, + 677125199, + -1, + 76868244, + 620441451, + 650916419, + 421996195, + 971280639, + 798673745, + 314328142, + 541946014, + 546718420, + 647782230, + 831673246, + -1, + -1, + 552599383, + 586628663, + 103611508, + 596482165, + -1, + 574740203, + 504802989, + 562747641, + 386505308, + -1, + 576658056, + 923752028, + 996801271, + -1, + -1, + 130049091, + 80815239, + 897885333, + -1, + -1, + 77683319, + 4666183, + 564798188, + 777422800, + -1, + 786524117, + 392902670, + -1, + 319535189, + 125010177, + -1, + 603162092, + -1, + 145994830, + 445518484, + 467048735, + 951570595, + 509583220, + 953628190, + 94638029, + 372617053, + 721015961, + -1, + 735229578, + 170339341, + 300425415, + -1, + -1, + 521410849, + 967256290, + -1, + -1, + 565957693, + -1, + 373290971, + 413375401, + 652779848, + 154004153, + 667346721, + 108514349, + 294270310, + 298557939, + 269125889, + -1, + 422135248, + 325618962, + 152531519, + 364266049, + -1, + 538687234, + -1, + -1, + -1, + 716325288, + 791402014, + -1, + -1, + 878653537, + 699659741, + -1, + -1, + 922590723, + -1, + 860706579, + 826721381, + 825120787, + 496809274, + 127995044, + 333160162, + 241530460, + 985868064, + -1, + -1, + -1, + -1, + 766788240, + 272848124, + -1, + 265896722, + 157131340, + -1, + -1, + 983139910, + 420357229, + 858398948, + 369294409, + 676156200, + 55223326, + 105286599, + -1, + 711016628, + 742287289, + 386368121, + 86933032, + 277510477, + 210069211, + 339021894, + 902486928, + 654181376, + 637416799, + 323650300, + -1, + -1, + 627646403, + 984014635, + 290143736, + 121168062, + 230663540, + -1, + 214982027, + 955864572, + 232669257, + 4945567, + 178382235, + 275024254, + 733707730, + 901363534, + 303911296, + -1, + -1, + 921954573, + 799394179, + 243806047, + 120028719, + -1, + 848290131, + -1, + 616946891, + 179753660, + -1, + -1, + 143160175, + 511907534, + -1, + 552005215, + 748168059, + 225237548, + 135489855, + 626867191, + 94408464, + 497686151, + -1, + 227788882, + 311806107, + -1, + 948649041, + -1, + -1, + 799963751, + 652826840, + 87720401, + 732946712, + -1, + 280328718, + 939188853, + -1, + 215806547, + 846773041, + 392060629, + 138995134, + 960579866, + 360985977, + 188170230, + 650978910, + 275598588, + 762022242, + 683589978, + -1, + 642917765, + -1, + 654264187, + -1, + 94114732, + -1, + -1, + 509666781, + -1, + 922974702, + 279638896, + 90003763, + 613235854, + 880647009, + 74217290, + -1, + 882030561, + 25816609, + -1, + -1, + 727009626, + 464287465, + 333242198, + 822541774, + 441115297, + 334947191, + 789635457, + 658858896, + 84077206, + 219924315, + 658846567, + 413185464, + -1, + -1, + 180942922, + -1, + 860553210, + 970203033, + -1, + 203239447, + 410483759, + 80024320, + 643571979, + 318262995, + -1, + 716117875, + 775617099, + 401083445, + 238844261, + 363459119, + 250252798, + -1, + -1, + 601758115, + 949780109, + 906955966, + 32215513, + 851389100, + 197535593, + 507023992, + 29040945, + 754968612, + 908738004, + 234355257, + 481300226, + 705901055, + -1, + 727730564, + -1, + 238660084, + 166582732, + 513457617, + 408316837, + -1, + 824022596, + -1, + 718461808, + 297702184, + -1, + 557108532, + -1, + 402276635, + 680920059, + 196755819, + 648032339, + 386762603, + 998917399, + -1, + 208421788, + -1, + 414191213, + 631567953, + -1, + 970667089, + 492209318, + 787530603, + 882794894, + 532576268, + 455187747, + 182561418, + 550416360, + -1, + -1, + -1, + -1, + 548092105, + -1, + -1, + 647791695, + 436005614, + 71016674, + -1, + 588946613, + 705757332, + -1, + -1, + -1, + 691667834, + -1, + 190806319, + -1, + 950021974, + -1, + -1, + 590504036, + 657150139, + 311615192, + 748850567, + 959896608, + -1, + 837230064, + 145221905, + 567634701, + 295400243, + -1, + -1, + 679504134, + 250408706, + -1, + 484307216, + 437374974, + 170265114, + 197366068, + 789121343, + 962538765, + 656882009, + 660482242, + 444397815, + 653187440, + 335903323, + 832823112, + 44717152, + 123640242, + -1, + 800992522, + 716968713, + 614424095, + -1, + 924886338, + 111325947, + 224759290, + 606578016, + 889022610, + -1, + 363611229, + 318917271, + 647077221, + -1, + -1, + -1, + 892844994, + 182631773, + -1, + 620305274, + 602869464, + 298410378, + -1, + 778015623, + 587593402, + 989789547, + 638701183, + 463384775, + -1, + 454505093, + -1, + 620704793, + 908823847, + 271861689, + 307182385, + 172631305, + 202119630, + 469271921, + 271057083, + 766030898, + -1, + -1, + 6342126, + 464173592, + -1, + 743473772, + 930376031, + 163612775, + 749429237, + -1, + 875219372, + 486712823, + 938121431, + 97578277, + 171733021, + 304554414, + -1, + 753705675, + 884317743, + -1, + 557910428, + -1, + 741741053, + 44085855, + 793001989, + 216807241, + -1, + 561961838, + 536679941, + 190126024, + 611729363, + 912521046, + 300044668, + 783581487, + 455515630, + -1, + 20397848, + 249480935, + 354206368, + 721374052, + 87041117, + -1, + -1, + 150180419, + 420097644, + -1, + 97900998, + 411614643, + 795731971, + -1, + 139107319, + 825049756, + 661527524, + 484333761, + 304399066, + 552598805, + -1, + -1, + -1, + 836093554, + -1, + 372680263, + 415249585, + 153957516, + -1, + 366184616, + 548618881, + 247271223, + 614220216, + 289705194, + -1, + 424496556, + 618347547, + 66220777, + 451718435, + 39753154, + -1, + 965247587, + 186272884, + 937556671, + 343736969, + -1, + 41968651, + 876338510, + -1, + -1, + 664539, + 227376418, + 669770742, + -1, + 81070280, + -1, + 635230933, + 292875901, + 617900544, + -1, + -1, + 637691748, + 636645122, + -1, + 842777935, + 320472031, + 381143109, + 193224303, + 276762050, + 571385177, + -1, + -1, + -1, + 125705609, + -1, + 501901867, + 922572721, + 902279166, + 562858453, + 195961142, + 691374633, + -1, + 283532506, + -1, + 383444623, + 993761057, + 258088905, + 343545495, + 492781873, + 7875948, + -1, + 755792197, + -1, + -1, + 623257176, + -1, + -1, + 264637380, + 93472306, + -1, + 472456921, + 684826604, + 286369359, + 870151970, + 809972016, + -1, + -1, + -1, + -1, + 248677622, + 120850809, + 583863039, + 629094153, + 503454324, + 883095215, + 408039040, + 470828130, + 927670684, + -1, + 443591683, + -1, + -1, + 853177450, + 675183187, + 911108045, + 19365574, + 268665489, + 786102682, + 837662300, + 945966726, + 465347952, + -1, + 111236856, + 502067183, + 515739938, + 516980132, + -1, + 778591138, + 423069161, + 158050282, + 734273345, + 66702969, + 280174014, + -1, + 232393615, + 46743210, + 706619399, + 903272878, + 943463284, + 623706227, + 339936324, + 932415443, + -1, + 959885136, + 696082105, + 839937203, + 142415840, + 985721805, + 397601016, + -1, + 469464798, + -1, + -1, + -1, + 891208873, + 204489352, + 920116888, + 36329907, + 381574684, + -1, + 124447826, + 648588801, + 462640403, + 115512777, + -1, + 195995199, + 566886656, + 713974995, + 246872550, + -1, + -1, + 56408717, + 821564736, + 861568537, + 353303200, + -1, + 454990281, + 585935819, + -1, + 92369486, + 476115068, + -1, + -1, + 300820626, + 652602235, + 545086550, + 387337547, + -1, + 734097367, + 883991633, + -1, + -1, + 519028368, + 125019054, + -1, + -1, + -1, + 332536212, + -1, + 126542627, + 555467175, + 81246780, + 598947399, + 820211485, + 651730740, + 293122864, + -1, + -1, + 851219933, + -1, + 773936614, + -1, + 203517135, + -1, + 711974420, + 797569814, + 114221185, + 647432692, + 158434234, + 833342770, + -1, + 316172238, + 892974605, + 354588970, + 742586428, + -1, + -1, + 497942714, + 757190318, + 962808607, + -1, + 605238398, + -1, + -1, + 642355113, + 734226821, + 602545210, + 930203011, + 546877033, + 382369574, + -1, + 764764323, + -1, + 623144644, + -1, + 471369123, + -1, + -1, + 308041432, + 371852907, + 811382467, + 812976695, + 296327787, + -1, + -1, + -1, + -1, + 957800290, + 657596913, + -1, + 621941787, + 42199597, + 104241545, + 493542065, + 299944316, + 56575982, + -1, + 441705356, + 945700170, + 467619501, + 941773347, + -1, + -1, + 464774021, + 15557498, + 778091345, + 548598818, + 768964240, + 276169343, + -1, + -1, + 171908052, + -1, + 738906131, + 86122009, + -1, + 506367026, + 871245879, + -1, + 172765169, + 233369830, + -1, + 558966039, + 211538235, + 378813206, + 920208931, + 798470218, + 741478625, + -1, + 513735971, + 543362716, + 497443842, + 789934147, + -1, + 840381709, + -1, + -1, + -1, + 837612098, + 254319829, + -1, + 844232033, + 734271361, + -1, + 714338533, + 263997069, + 347368305, + 331246111, + 971590807, + 615150711, + -1, + 480056897, + 864434302, + -1, + 845457491, + 771054989, + -1, + 471153604, + 266842864, + 288309211, + -1, + 140124305, + -1, + 759910910, + 888237628, + -1, + 950551110, + 942996916, + 316117266, + 156791421, + 938123254, + 543946063, + -1, + 266989181, + 362484590, + -1, + -1, + 692328115, + 265272878, + 838375520, + 8213990, + 353039296, + -1, + -1, + 21597996, + 934499766, + -1, + -1, + 90110228, + 8467323, + 978437964, + 437571870, + 791925247, + 188222344, + 341042994, + 386897253, + 967092483, + 716166897, + 862900040, + 311192577, + -1, + 338390428, + 378505480, + 849429592, + 890614251, + 982724535, + -1, + -1, + 301346843, + 302860765, + 159033466, + 379650368, + -1, + -1, + 789717470, + -1, + -1, + 358212395, + -1, + -1, + -1, + 655438452, + 794133582, + 107194889, + 367794025, + -1, + -1, + 207225481, + 338948455, + 996875142, + 13060809, + 896420994, + 918604154, + 494464045, + 703899543, + 423758860, + 898032713, + 741511513, + 838845049, + 12858172, + 485801105, + 650354737, + 532033837, + 483010288, + -1, + 57301853, + 14959725, + 817984467, + 179381052, + -1, + -1, + 730332626, + 703225248, + -1, + -1, + 962651901, + -1, + -1, + 660744971, + 702159509, + 967893248, + 481619450, + -1, + 521298384, + 995574660, + -1, + 710322738, + 978120428, + 285920120, + -1, + 173710415, + -1, + 674991673, + 166311356, + 58082174, + 397182489, + -1, + -1, + 555404474, + -1, + 885950524, + -1, + -1, + 956077144, + 52088295, + 866250289, + 294050707, + -1, + 92241999, + 874658184, + -1, + 570670383, + 523740139, + 292097214, + 930454749, + 918568748, + 733432175, + -1, + 267633885, + 689126423, + 880111201, + 947132236, + 970547133, + -1, + -1, + 520734913, + 339713815, + 711072758, + -1, + 441143252, + 649853315, + 544274923, + -1, + 991715714, + 310336266, + 125777051, + -1, + 556083164, + 893630132, + 965086207, + 364276401, + 33549874, + 352358561, + 911028936, + 185497902, + 135666735, + -1, + 782067879, + 798192022, + -1, + 189740918, + 393276544, + 875648318, + -1, + 781061334, + 548631368, + -1, + 841310282, + 956744011, + -1, + -1, + 421031174, + -1, + 559561087, + 66769737, + -1, + 575038405, + 581968816, + -1, + 46051383, + 363923310, + 784350659, + -1, + 873652897, + -1, + 430292014, + -1, + 16718015, + -1, + 185887782, + 976832665, + 962911134, + 525447017, + 271185322, + 171088596, + 683059825, + 678615941, + 534757352, + -1, + 71948113, + 350094262, + 996944415, + 640103059, + -1, + 245454436, + -1, + 180474839, + -1, + -1, + 355475391, + -1, + 619023981, + 776106654, + 242902565, + 139115744, + 216200792, + 257245372, + 658791045, + -1, + -1, + 252085046, + 24920183, + 653756060, + 301359390, + 159498789, + -1, + 117134007, + 298812800, + 390102827, + -1, + -1, + 539533316, + 812669721, + 42762712, + -1, + 831726063, + 791396008, + 808291994, + -1, + 339665735, + 298684454, + -1, + 272237011, + 477801193, + 911941323, + -1, + 344765595, + -1, + 68210591, + 800490216, + 462309717, + -1, + 359386164, + -1, + 991633005, + 3041571, + -1, + 307530937, + 334209256, + 785236453, + 926942752, + 248183921, + 550988784, + 896376415, + 645864134, + 272214110, + 117816840, + 47631699, + -1, + -1, + 569931526, + -1, + 916655725, + -1, + 750235773, + -1, + 412104374, + -1, + 800090949, + -1, + 740605473, + 818503405, + 108573398, + -1, + 756258553, + 203512989, + 137475703, + 185413471, + 240697186, + 498249630, + 565590892, + -1, + -1, + 634747612, + 564849751, + -1, + 173453970, + -1, + -1, + 293564084, + 242247340, + 110536428, + -1, + 862573018, + 735204927, + 625451431, + -1, + 466434579, + 314507540, + -1, + 517300959, + 563271120, + 175429934, + 728917626, + 567374423, + 504918398, + 756978688, + 967294586, + 144239794, + 456029469, + -1, + 277558531, + -1, + 648349672, + -1, + 967914144, + 151966644, + -1, + 615553675, + -1, + 879845991, + -1, + 962164656, + 775511338, + 918511639, + 874372918, + 886892098, + 359690479, + 135117242, + 883466175, + 992821516, + 734782005, + 353219075, + 484981802, + 869009813, + -1, + 236270758, + -1, + 971767773, + -1, + -1, + 879926713, + 671438101, + 921397778, + 77439991, + -1, + 887516057, + 362354463, + 800856973, + 329570986, + 72776916, + 713986158, + 589974778, + 761306798, + 273860008, + 180218104, + 949519673, + -1, + 214745936, + -1, + 523672555, + 620228378, + 474251745, + 991401011, + 211363282, + 209312828, + 715582905, + 477338408, + 520861032, + 948070745, + -1, + 43436728, + 521138788, + 689721799, + 477181229, + 248841921, + 568019521, + 975812893, + 568515570, + 174027200, + 82000837, + -1, + -1, + 858743476, + 954928509, + 261883986, + -1, + 851040029, + 774390914, + 686199355, + 387436743, + 73708175, + -1, + -1, + 110690670, + -1, + 78365125, + 802125823, + 634304817, + 65053093, + 430974392, + -1, + 901767849, + -1, + -1, + -1, + 800806349, + 226046784, + 564602990, + -1, + 867342523, + 33112175, + 364064604, + -1, + 217725895, + 264417258, + -1, + 171450646, + 207783795, + -1, + -1, + 338888796, + 398072393, + 14601055, + 240972204, + 687606698, + 986016913, + 799450543, + 98163948, + 853534767, + -1, + -1, + 559661220, + 546029522, + 625717621, + 707528394, + -1, + 510776903, + -1, + 973106856, + -1, + 504045147, + 438058873, + -1, + 141319876, + 265864945, + -1, + 502318119, + 617181742, + 458159808, + -1, + -1, + 565023303, + 503478478, + 387704039, + 881958529, + -1, + 980454934, + 210705346, + 733531070, + 328753667, + 241805483, + -1, + -1, + -1, + 33989843, + 15869291, + 924184293, + 997237614, + -1, + 630788384, + -1, + 27883291, + 401653291, + -1, + 118480965, + 970353002, + 674208720, + -1, + 304350768, + 28547249, + -1, + 816770224, + -1, + -1, + 387132735, + 237159247, + -1, + 812129536, + -1, + 286274696, + -1, + 978628483, + 964701755, + 499852333, + 461918057, + 95543893, + 701055842, + -1, + -1, + -1, + 757248508, + 950377102, + 631011023, + -1, + -1, + -1, + 846668898, + -1, + -1, + -1, + 467937556, + 267679870, + -1, + -1, + 934450831, + 766876524, + 366926875, + 203644048, + -1, + 579141649, + 35474129, + 800017190, + -1, + 607749411, + 617063781, + 911772884, + 513466448, + -1, + -1, + 80404828, + 839131892, + 669475939, + 577228273, + -1, + 407436916, + 230598938, + 131500866, + 917370652, + 39246769, + 363430054, + 878440824, + 48950114, + 412648323, + 283334207, + 876166645, + -1, + 6011096, + 451905905, + -1, + -1, + -1, + 773600161, + 59234716, + 252664369, + 869514366, + -1, + 165523624, + -1, + 656486604, + 537652804, + 986989845, + 135649757, + -1, + -1, + -1, + -1, + -1, + 371616420, + 355244528, + 386027457, + 545501524, + 347441472, + 415298305, + -1, + 437525897, + 721228507, + 552328789, + 632978185, + 272393567, + 145359182, + 65406436, + 464467915, + -1, + 681943233, + 414960631, + 253051019, + 315216933, + 770738363, + 762366245, + 113078074, + 938307489, + -1, + 334431358, + -1, + 807295849, + 446174950, + 275593782, + -1, + 622292489, + 676267862, + 861731424, + 627043399, + 629187454, + -1, + 792688568, + 217265827, + 235786454, + 697854674, + -1, + 294156619, + 512014147, + -1, + -1, + 369609335, + 315341517, + -1, + 31403795, + -1, + 441515345, + 886278195, + 398681535, + 904941884, + 16437217, + -1, + -1, + -1, + 739161423, + 38580667, + 325991554, + -1, + 992547084, + 733693207, + 47715771, + 408857465, + -1, + -1, + 634251057, + 413065255, + -1, + -1, + 165140634, + -1, + 880218144, + 747962667, + 905380263, + 550849608, + 140836195, + 396065862, + 582069752, + 356313865, + 419372567, + 29251725, + 969524228, + 549782461, + -1, + 532435205, + 347663402, + 15119395, + 235821136, + 580549123, + 329219392, + 321346442, + 385408670, + 759125852, + 374830108, + -1, + 102603159, + 121996720, + 751523762, + -1, + 959184476, + 300125394, + -1, + -1, + 132999275, + 337393999, + -1, + 658776851, + 655341405, + 215296717, + -1, + 634751991, + 968046596, + 890983460, + 446454832, + 631899725, + 985004906, + 666822832, + -1, + 636041545, + -1, + 34752783, + -1, + -1, + 90293754, + 11807275, + 848874633, + -1, + 460843786, + -1, + 573897122, + -1, + 303860756, + -1, + -1, + 221425663, + -1, + 926098208, + -1, + 576443108, + 731411023, + 457513556, + -1, + -1, + 300788303, + 788239392, + 852784129, + 948128797, + 994781786, + -1, + -1, + -1, + -1, + -1, + 499194293, + -1, + 613982044, + 933528069, + 460566459, + -1, + 877936257, + 397229794, + 863403030, + 973223670, + 795550886, + 995447558, + 985578468, + -1, + 805388709, + -1, + 657118455, + 676172678, + -1, + -1, + -1, + 951717308, + 577440193, + 606379105, + 369649325, + -1, + 393854916, + 321184465, + -1, + -1, + 692203794, + 563645509, + 126302069, + 632281506, + -1, + 626297515, + 32158388, + -1, + 619170421, + 154736562, + 316184400, + -1, + 120077616, + 524775441, + 585831177, + 626165078, + 560447095, + 941563984, + 99131465, + -1, + -1, + 40277309, + -1, + 433356820, + -1, + -1, + -1, + 213781564, + -1, + 877343132, + 407891429, + 343711703, + 612784040, + 59102285, + -1, + 602281170, + 523206089, + 667125211, + 711774170, + 731401519, + -1, + 428752871, + 256156575, + 560900519, + 187305653, + 19962154, + -1, + 516745203, + -1, + 744679997, + 954880026, + 496035547, + 938224587, + -1, + 661700637, + 717948920, + -1, + 2931740, + 141349979, + 138256901, + 702625860, + -1, + 134279523, + 684925360, + 405300010, + -1, + 773183913, + -1, + 465253539, + 124610530, + 943661621, + 320443688, + 636159177, + 605668438, + -1, + -1, + 492461190, + -1, + 51177390, + 322539303, + -1, + 58908056, + -1, + 709311612, + 419868172, + 425656020, + 12828154, + 401314547, + 855371212, + -1, + 594932434, + -1, + -1, + 806137170, + 31045674, + 572100521, + -1, + 291196124, + 689518656, + -1, + 338253930, + 952296370, + 964043531, + 309859659, + -1, + 481198484, + 879616676, + 530918940, + -1, + -1, + 537476212, + -1, + 352624626, + 61523877, + 165309301, + -1, + -1, + 41927730, + 256404793, + 197209864, + 120795200, + -1, + 353063487, + 619399680, + 588000189, + -1, + 964993584, + -1, + -1, + 839425344, + 768486276, + 548325015, + -1, + -1, + 304954990, + 718433797, + 838501213, + 208274469, + 402390569, + 966209206, + -1, + 3000808, + 886251342, + 346157017, + 215332525, + 102594236, + 985533056, + 318912255, + 194392750, + 588033335, + -1, + -1, + 890986249, + 119101157, + 936088987, + -1, + -1, + -1, + 17909158, + 54075365, + 403886949, + 145901004, + -1, + 554073285, + 642051039, + 840008955, + -1, + 163093733, + -1, + 475382423, + 896792033, + 364507903, + 475987678, + -1, + 745411532, + 763762886, + 676525108, + -1, + 33987466, + 625253274, + 118994310, + 438513426, + 819978412, + 556339513, + 368627194, + 890136592, + 283034362, + -1, + 107730756, + 728328595, + 570642184, + 902421228, + 505668239, + 344842839, + 134008476, + 869416217, + 114261298, + -1, + 665810362, + 726859436, + 899781286, + 493590160, + 518954017, + 798898539, + 957915308, + 225105679, + 791732587, + 332293098, + -1, + 904411443, + 263685996, + 38681625, + 782544155, + -1, + 748878312, + -1, + 694499119, + -1, + 785986497, + 203368027, + -1, + 683407402, + -1, + 442031397, + 733687643, + 117814113, + 290835263, + -1, + 279004106, + 940673575, + 699328089, + -1, + -1, + 894651442, + -1, + -1, + -1, + 247251224, + 120954416, + 947022567, + 857266719, + 571284174, + 168286131, + 573469596, + 92414285, + 808074145, + 267935547, + 412355816, + 222112178, + -1, + 638654959, + 799599287, + -1, + -1, + -1, + -1, + 231946932, + 246746218, + 602264643, + 612671368, + 373005123, + 33242126, + 242806307, + 755602816, + 369381462, + 203523846, + 889994316, + 960067323, + -1, + 532135964, + 810194468, + 835159289, + 741605783, + -1, + 467483957, + 565960730, + 960469148, + 403258189, + 566443707, + -1, + 474341013, + 302418886, + -1, + 244321285, + 274985772, + 848779724, + 846756241, + 717550607, + 919901745, + 884729272, + -1, + 667883518, + -1, + 738694570, + 317976845, + 704905888, + 500948077, + 510960650, + -1, + -1, + -1, + -1, + 573689511, + -1, + 162023447, + 895384483, + 30684788, + -1, + 597397409, + 425472754, + 841883964, + -1, + 270208529, + -1, + 349990648, + 648521624, + 376273200, + 247802071, + 581899718, + -1, + -1, + 50571145, + 749606608, + -1, + -1, + 269277282, + 331784944, + -1, + 264265403, + -1, + -1, + 10267127, + 774152548, + -1, + -1, + 351384951, + 123087021, + 908719414, + 165939273, + 650843792, + 85266481, + 925596242, + 156865361, + -1, + 891062466, + -1, + 299458686, + 402027288, + 261578335, + 155188125, + 339154412, + -1, + -1, + -1, + 515588079, + 716688659, + -1, + 562680926, + 262525146, + -1, + -1, + -1, + -1, + 554896217, + 508373334, + 127239060, + 457334633, + 324586085, + 558609760, + 905963606, + -1, + 799634765, + 139253231, + 698091989, + 528496274, + -1, + -1, + 903914248, + 87525880, + -1, + -1, + 899466800, + 82756141, + 666228845, + -1, + -1, + -1, + 744553549, + 85443369, + 175246599, + 832796029, + 944963873, + -1, + 498452680, + -1, + 467017006, + 487631558, + -1, + 947631375, + -1, + 398350980, + 1551058, + -1, + 305447197, + -1, + 432881327, + 669254333, + 727603505, + -1, + 797203783, + 657357547, + -1, + -1, + 149967159, + -1, + -1, + -1, + -1, + 361540417, + -1, + 584391806, + 29067317, + 482498222, + -1, + 92096354, + 577498581, + 792108737, + 281529828, + -1, + 633175760, + 420999495, + 232647418, + 500281129, + -1, + 927191327, + 749122331, + 52032439, + 477179823, + 36928608, + 190595068, + 333818505, + 68557263, + 759592845, + 684470757, + 405178364, + 851178501, + -1, + -1, + 826701117, + -1, + 716154572, + 696670755, + 678003322, + 879072401, + 563567599, + 510718969, + -1, + 167831374, + -1, + -1, + 545726545, + 179727784, + 194160969, + 664363602, + 574021846, + -1, + -1, + -1, + 605185413, + -1, + 462374529, + -1, + 702948676, + 123773690, + -1, + 441948355, + -1, + 158561556, + 601279951, + -1, + 32071907, + 536451356, + 554735432, + 409099956, + 420799375, + 582441041, + 53209036, + 569750589, + 725653593, + 724207096, + 846918566, + 134373614, + -1, + 485612390, + 711777165, + 129572166, + 70898675, + 944586553, + 333990507, + 580448334, + 94852382, + 15519672, + 986310891, + 56748576, + -1, + 832518076, + 767331258, + 859533786, + 725906188, + 172276386, + -1, + -1, + 357441966, + 315885446, + -1, + 933448847, + -1, + 726760807, + 459969031, + -1, + 895906268, + 928022848, + -1, + 999646343, + 788965541, + -1, + 822764910, + 834463964, + 548417853, + -1, + 834291485, + -1, + 561617072, + -1, + -1, + 687426003, + 919724138, + 246003249, + -1, + -1, + 802115712, + 648247783, + 624185828, + 386871908, + 353880512, + 543083403, + -1, + -1, + -1, + 406930650, + 393962192, + 598435041, + 688425166, + 937288753, + 20756890, + 511980268, + 39307347, + 937719341, + 418686854, + 965467247, + 929705010, + 810817312, + 932095294, + 42440982, + 542584439, + 911536145, + -1, + -1, + -1, + -1, + 389861010, + 415428009, + 807827451, + 319882934, + -1, + 865575484, + -1, + 898586769, + -1, + 701784279, + 816670872, + 938265997, + 958923379, + 178962101, + 705416888, + 109526228, + -1, + 611858442, + -1, + 904258507, + -1, + 957405663, + 366156654, + 470526469, + 387071473, + 757415254, + 541784535, + -1, + 641685834, + 281873227, + 149349489, + 789217161, + 515105666, + -1, + 892556086, + -1, + -1, + 577694949, + 973754548, + 924227483, + 202958250, + 596428782, + 892842701, + -1, + 808623460, + 901937195, + 897586486, + -1, + -1, + -1, + 504600622, + -1, + -1, + 326333538, + -1, + 124749537, + -1, + -1, + 148724584, + -1, + -1, + 277298893, + 794114811, + -1, + 176646260, + 919113810, + -1, + 384070664, + 699971170, + -1, + -1, + 767247365, + 615575865, + 348535775, + 494092655, + -1, + 112753877, + 343113965, + -1, + -1, + 408523313, + 837912066, + 795337901, + -1, + 517455074, + 292433655, + 710708287, + 824674265, + -1, + -1, + -1, + 427012885, + 127894010, + 643321185, + -1, + 758193637, + -1, + -1, + 73278490, + 417910078, + 171689795, + -1, + 802794840, + -1, + -1, + 890082807, + -1, + 656047081, + -1, + 422750532, + -1, + 474473023, + -1, + -1, + -1, + -1, + -1, + 381516290, + 545800071, + 843813357, + -1, + -1, + 569680295, + 160559195, + -1, + 983737438, + -1, + 86959385, + 161874811, + 839746108, + 678774793, + 517430550, + 382220624, + 257250001, + 167110157, + -1, + 608355255, + -1, + -1, + -1, + -1, + 489125637, + -1, + -1, + -1, + -1, + 891969992, + -1, + -1, + 951894389, + -1, + 489406575, + 106741702, + 283705678, + -1, + 702985216, + 136241356, + 577164403, + -1, + -1, + 711526819, + 617321079, + -1, + 528433107, + 612304451, + 139699240, + 404724765, + 788435233, + 908873850, + -1, + 187782668, + 574493060, + 628029875, + 529414924, + -1, + 593814125, + 630662361, + 631380563, + -1, + 294304785, + 172206695, + 744881989, + 554744009, + 12736910, + 498867731, + 796586675, + 830153887, + -1, + 263914380, + 190379512, + 218713168, + 202852734, + -1, + 942996836, + 186658607, + 976917770, + 883849357, + 814163357, + 579890323, + 506821732, + 378171089, + 849929802, + 921005098, + 520702170, + 951785319, + 197699760, + 686798323, + -1, + -1, + 920515572, + 78784143, + -1, + 710475859, + -1, + 151403286, + 839330966, + 414353577, + 754391318, + -1, + 835162819, + 346507959, + -1, + -1, + -1, + -1, + 687989687, + -1, + -1, + -1, + 987680729, + 694922431, + 636721482, + 191544941, + 923869084, + 241147822, + -1, + 451689504, + 365141300, + 443231083, + -1, + 228703714, + -1, + 969663201, + -1, + 242110317, + 97072675, + 511050283, + -1, + 115176604, + -1, + 647729680, + -1, + -1, + 688079826, + 119207677, + 674650115, + 772368879, + 992189670, + 39083352, + 552423759, + 227219492, + -1, + 33895376, + 728399177, + 737753573, + -1, + 838213090, + -1, + 748204529, + 968202881, + -1, + 237241084, + 857693518, + 230007067, + 424212282, + -1, + -1, + 235817716, + 179272454, + 62387846, + -1, + 529038821, + 872098780, + 903976511, + 85437810, + -1, + -1, + 483125319, + -1, + 101343601, + 688268509, + -1, + 41184726, + 610673835, + 805318809, + -1, + -1, + -1, + -1, + 999102357, + -1, + 572432341, + 601838982, + -1, + 435760359, + 535249470, + 71586970, + -1, + -1, + -1, + -1, + 122254681, + -1, + 115298771, + -1, + -1, + 66810604, + 256955989, + -1, + 563765849, + 774088723, + -1, + 62139478, + 526811326, + 558993931, + -1, + 878397004, + 352066988, + 437776445, + -1, + 606311493, + 11905386, + 224832716, + 845276767, + 562379076, + -1, + 496419995, + 723912234, + 78771581, + -1, + 522405441, + 353131248, + 90977228, + 376994453, + 182561281, + 809363485, + 561576002, + 722431346, + -1, + -1, + 824337735, + 778456846, + 774360945, + 327129372, + 511134687, + 559002030, + -1, + -1, + -1, + 811392936, + 52950239, + 553856487, + 977296572, + 306943174, + 881466031, + 628082894, + -1, + -1, + 921514340, + -1, + 948557649, + 623525418, + -1, + -1, + -1, + 197612413, + 375281385, + 370412756, + 657053371, + 993762323, + 559868453, + 420561649, + 828912506, + -1, + 355891695, + -1, + -1, + 361779265, + 820732342, + 977811161, + 887845256, + 840089994, + 455244048, + 63302053, + 538818833, + 375566276, + -1, + -1, + 722074721, + -1, + 708903922, + -1, + 329543090, + 486922324, + 77951855, + 581827820, + 368168072, + 500272493, + 289127074, + -1, + 740722530, + 592725074, + 965078615, + -1, + 969314801, + 475051916, + 959549267, + 336502526, + 329659512, + 884681947, + 849771922, + -1, + 491865835, + 44253541, + 181945612, + 495840320, + 197127046, + 297181360, + 118565644, + 130174991, + 328699451, + 523668088, + 393882475, + 964363331, + 469345032, + -1, + -1, + 338480981, + 484375848, + 303669005, + 838752311, + -1, + 224832495, + 318245009, + 26012939, + 707990943, + 754951917, + -1, + 497057474, + 61145540, + -1, + 954908333, + 225396705, + 775933726, + -1, + 949667534, + 455329816, + 307196758, + -1, + 860332040, + 582401647, + 678016866, + 262769880, + 394061299, + 552011165, + 938235893, + -1, + -1, + -1, + 968393708, + 591942844, + 541808961, + 597682797, + 152113264, + 954424468, + 558964773, + -1, + 821649258, + 387926052, + -1, + -1, + 130670469, + -1, + 7739825, + 679496196, + 568296889, + 259358624, + 472690031, + 934013265, + 482447633, + -1, + -1, + 243960290, + 26226006, + -1, + -1, + 591598298, + 65173776, + 870262279, + 284217821, + 136922011, + 372800154, + 733885198, + -1, + 433678431, + 457915873, + -1, + 24613729, + 1341907, + -1, + 818763621, + -1, + -1, + 846891374, + -1, + 758397038, + 99691157, + 898396351, + -1, + 171310940, + 485244235, + 630873119, + 431105634, + 40276657, + 448738471, + 509073952, + 294081263, + 564178200, + 499569310, + 778603742, + 391833676, + -1, + 906926040, + -1, + 456530666, + 811791853, + -1, + -1, + 855985539, + 228735972, + 951647790, + 482218015, + 192572934, + -1, + -1, + 768023994, + 339327624, + 524688124, + 247890969, + -1, + 475747083, + 161475865, + 582542586, + -1, + 388076160, + 750920419, + -1, + 8886918, + -1, + 265916327, + 711234513, + -1, + 497852925, + 919626121, + -1, + 786802336, + -1, + 737468498, + 366667040, + -1, + -1, + 911974813, + -1, + -1, + -1, + 798857112, + 862301195, + 322482312, + 573629940, + 693014044, + 993445369, + -1, + 297274862, + 290031864, + -1, + 175450485, + 946604520, + -1, + 82884389, + 239102164, + 367437919, + -1, + 793601224, + 182312099, + 964771753, + 744727500, + 737828289, + 682806669, + -1, + -1, + 770740857, + -1, + -1, + 65154509, + 790933359, + 361089669, + 599031638, + 102535143, + -1, + 433253848, + -1, + -1, + 205077495, + 910258024, + 708456715, + 956996411, + -1, + 466443851, + -1, + 249405274, + -1, + 370821187, + 98315450, + 663837990, + -1, + 266025790, + 77675118, + -1, + -1, + -1, + 146820632, + 815550987, + 558538491, + 258685431, + 172228587, + -1, + -1, + 719572133, + -1, + 136916606, + 122164288, + 345960928, + 801938899, + 512332886, + 683953693, + 502262893, + 233465424, + -1, + 945328703, + -1, + 851341824, + -1, + 32761507, + 330491036, + 177434158, + 327105034, + 914690031, + 772096650, + 663820472, + 313284530, + 389511307, + 811180916, + -1, + -1, + -1, + -1, + 971770331, + 805920935, + 672525697, + -1, + 839080832, + 139650298, + 479423149, + 697582354, + 750315517, + 825667008, + 644601673, + 178714891, + -1, + 537740266, + 731651874, + 754530670, + 940160372, + -1, + 815356250, + -1, + 262904070, + -1, + -1, + -1, + 280663058, + 33220495, + 817334373, + 625016917, + 96930264, + 27812480, + -1, + -1, + 93739008, + -1, + -1, + -1, + -1, + 220355930, + -1, + 872640531, + 868051937, + -1, + 219586916, + 249511210, + 497631924, + 329387482, + 267859517, + -1, + 387242604, + 82501697, + 283558355, + -1, + 341419281, + -1, + 303045248, + -1, + 733333226, + 535468787, + 322628580, + -1, + 518709894, + 729823873, + -1, + 42144169, + 695581523, + 680600570, + 453182077, + 561682902, + 160167842, + 225487105, + 367538302, + -1, + 105864519, + 599059353, + 492064997, + 336252669, + -1, + 160537118, + 960097513, + 121708900, + -1, + 145464033, + 605306277, + 923368099, + 50789701, + -1, + -1, + 672115729, + -1, + 291001609, + -1, + 359535188, + 433668707, + 718553798, + 991090209, + 477997558, + -1, + -1, + 686941682, + 25255570, + 292556752, + 583344070, + 808976785, + 553097209, + 726034823, + 627402104, + 343439640, + -1, + 214600671, + 920423688, + -1, + -1, + 636993325, + 168590811, + 360958260, + 981704429, + 446996908, + 891703991, + 272043553, + -1, + -1, + 137067490, + 357552431, + 80760283, + -1, + 905408856, + 364818927, + 648942461, + 546415394, + 505598251, + 663416735, + 950055686, + 146687274, + 322998194, + -1, + 669878170, + -1, + -1, + 28091087, + -1, + 736245774, + 767506175, + 816697502, + -1, + -1, + 652360982, + -1, + -1, + -1, + 619703237, + 118986903, + -1, + 934174181, + 315234677, + -1, + 90226893, + 539784158, + 138159385, + -1, + -1, + 166846280, + 852711139, + 852950941, + -1, + 577273529, + 407297266, + -1, + -1, + 24192004, + 282569972, + 796886885, + -1, + 393022072, + 673569195, + 341148780, + 900676971, + -1, + -1, + 184873716, + -1, + 690994176, + -1, + 698990180, + 498239789, + 51137705, + 511668312, + 193598567, + 654291283, + 175254226, + 796208447, + 338461694, + 271889264, + -1, + 266246700, + -1, + 801713132, + 959895746, + -1, + 595448263, + 777849725, + 147486637, + 514040085, + -1, + -1, + 894687269, + 261108356, + 119673640, + 2035707, + -1, + 374350267, + 468519056, + 915935708, + 253916918, + 392840141, + 266195792, + 66610892, + 822553417, + 292927664, + 278311690, + -1, + 167481142, + 421659873, + 53790449, + -1, + 637350629, + 684550995, + 297430903, + 75119269, + 66434091, + -1, + 550652789, + 127355464, + 849516700, + 947686067, + 104896791, + 262167507, + 75779759, + 936231829, + -1, + 916001383, + -1, + 26624978, + -1, + -1, + 506313124, + -1, + -1, + -1, + -1, + 680386237, + -1, + -1, + 578733064, + 17527612, + 245050657, + 696578748, + 62174597, + 873552611, + -1, + 660186008, + 11720310, + 70155927, + -1, + 777123070, + 763802267, + 876675821, + -1, + -1, + -1, + 79669267, + -1, + -1, + 53241569, + 985268485, + 255728786, + 11933594, + -1, + -1, + 986063466, + -1, + -1, + 2725724, + 272658097, + 775485318, + 700525930, + -1, + -1, + -1, + 34767013, + -1, + 130352779, + 579622867, + 2261911, + -1, + 406293885, + 773270047, + -1, + 400284235, + 51935677, + -1, + 506062263, + -1, + 501504102, + 580352493, + 626785181, + 249270210, + 742535938, + -1, + 624482336, + 744151299, + -1, + 520811237, + 53351629, + -1, + -1, + 232510746, + 917066132, + 834450549, + 453580222, + 162261523, + 853585797, + 5835078, + 852976581, + 672133498, + -1, + 998928857, + -1, + 36500957, + 169774238, + 410915396, + 75994220, + 312755791, + 408098561, + -1, + 38235283, + 984489628, + 531098287, + 419281872, + 559320174, + 895635762, + 525769331, + 24906462, + 224526337, + 442695716, + 273224100, + 11155922, + 901465746, + 581804609, + -1, + 600322865, + -1, + 772155620, + -1, + 708825575, + 363014771, + 123837731, + 770244786, + 485099515, + -1, + 428805882, + 149805769, + -1, + 983884967, + 843334934, + 878224912, + 482977208, + 487246638, + 448475690, + 465712376, + 994041060, + -1, + 955769018, + -1, + 890353991, + 132696075, + 282159431, + -1, + -1, + 227596043, + -1, + 171697550, + 586519761, + -1, + -1, + -1, + 59178406, + 53652639, + 129745056, + 452075667, + -1, + 350958746, + 25215852, + -1, + 495843451, + 263415352, + 178067900, + 520695429, + 505357279, + -1, + 192274899, + -1, + -1, + 644812737, + 168098748, + 826963556, + -1, + -1, + -1, + 860987909, + 790439003, + 683705289, + 572830728, + 597739614, + 175925728, + -1, + 35840087, + 751565271, + 563072568, + 799849848, + -1, + -1, + -1, + 902567152, + 877480342, + 791026602, + 678781284, + -1, + 271237143, + 120808253, + -1, + -1, + 492513972, + 291045844, + -1, + -1, + 569248449, + 575420078, + -1, + -1, + 831553464, + -1, + 368945302, + -1, + 401096023, + 638280657, + -1, + -1, + 68567954, + 569589026, + 634845750, + 916516671, + -1, + 664869691, + 613302764, + 843712271, + -1, + 230352517, + 2567664, + 863035553, + -1, + 263182623, + 213880846, + -1, + -1, + 598047502, + 634296264, + -1, + 96277808, + 918033373, + 745175737, + -1, + -1, + 931085808, + 784422801, + -1, + 553656449, + 441393773, + 105895687, + 140248141, + -1, + -1, + 465580862, + 639262856, + -1, + 946882732, + -1, + 893576209, + 705160162, + 784353637, + 865133888, + -1, + 232476702, + 459245028, + 547892539, + 527406814, + 991014077, + -1, + 937955595, + -1, + -1, + -1, + 555228622, + -1, + 861330563, + -1, + 12037057, + -1, + -1, + 990986455, + -1, + -1, + 359453701, + -1, + 592334724, + 644690437, + 469133223, + 404616525, + 520290846, + 334447584, + 733920987, + 609747589, + -1, + 998297439, + -1, + 593518979, + 474870634, + 404888363, + 910535448, + 790166839, + 82721053, + -1, + -1, + 594219619, + 482219582, + 378361499, + 745461983, + 833541924, + 795300442, + -1, + 386291728, + -1, + 656970665, + 504806954, + 263852596, + 58500798, + 803524853, + 981800322, + 445973731, + 222443660, + -1, + 486205807, + 148403660, + -1, + 34959125, + -1, + -1, + 278379607, + 903775567, + 746989866, + -1, + -1, + -1, + 657941461, + 728103652, + 604566093, + 423966444, + 482043339, + -1, + -1, + -1, + 448160419, + 756840583, + 97043371, + 258539153, + -1, + 944084335, + 440222721, + -1, + 331240273, + 528245935, + 608009904, + 312741732, + 995246571, + 301648967, + -1, + 3735556, + -1, + 465910474, + -1, + -1, + 865859440, + 114422995, + 262393667, + -1, + -1, + 724239462, + -1, + -1, + 708883371, + 378961535, + 466112105, + -1, + 719267734, + -1, + 150700215, + 300059456, + 100186703, + 416848340, + 588658238, + 858747960, + 753125280, + 131239199, + 813266776, + 411377837, + -1, + 468163293, + 265717903, + 625793914, + 96069747, + 400604506, + 655543770, + -1, + 278735476, + -1, + 303372665, + 382130399, + 728881563, + -1, + 647258710, + 367950714, + -1, + 649226966, + 669142352, + -1, + 2972533, + 893779407, + 232717913, + 948915592, + 31003867, + 215368567, + -1, + 836952524, + -1, + 236327429, + 682305772, + 277844823, + 996054476, + 35999242, + -1, + 897987327, + 908918946, + 902728593, + -1, + 973853518, + -1, + 856937250, + 447478708, + 218746423, + 574257316, + 617896171, + 311712752, + 447025875, + 367676820, + 168846840, + -1, + 636367543, + 820747935, + 734663628, + 46610881, + 866763674, + 336831397, + -1, + 37708401, + 312566621, + 812530144, + 970829729, + -1, + 280482048, + 106462641, + 526891648, + 729227621, + 202406213, + 956455968, + -1, + -1, + 816674459, + 114215897, + -1, + 729304749, + 905055773, + 568625536, + 498249142, + 159305287, + 745256196, + -1, + 637935375, + 835297541, + 150667906, + 645237244, + 486403325, + 432350481, + -1, + 202904896, + 909110955, + 397062100, + 583269450, + 797611841, + -1, + -1, + 796392618, + 524375111, + 705896508, + 848129458, + 425269755, + 869192774, + 114121284, + 529254725, + 744506840, + -1, + 70151161, + 113814318, + 901786391, + -1, + 322856397, + -1, + 160455565, + -1, + 819416979, + -1, + 568789632, + 746524031, + 594403590, + 966759705, + 35079267, + 61449452, + -1, + 7726870, + 280369942, + 54994250, + 974816385, + 106125964, + 311277109, + -1, + -1, + -1, + 189673473, + -1, + 372249634, + 943051645, + -1, + 362743698, + 132433427, + 623933225, + 718209718, + 549937943, + 643693928, + 451319856, + 544900725, + -1, + -1, + -1, + 320913267, + -1, + 812808919, + 223886722, + 187552157, + 689086971, + -1, + 286704860, + 389631682, + 1415327, + 593497607, + 642613752, + 633108393, + 382319732, + 611276460, + 512896459, + -1, + 805679246, + 440277232, + -1, + 193487854, + 54347306, + 568975094, + -1, + 564944000, + 274590524, + 236977163, + 564238479, + -1, + 15285002, + 206175514, + 953257259, + -1, + 178751094, + 129839835, + 124760837, + -1, + 148875408, + -1, + -1, + -1, + -1, + 906409011, + 413524158, + 878639979, + -1, + 57175847, + 336722610, + 918150931, + 105156524, + -1, + -1, + -1, + 87195115, + 80627149, + 651972182, + 149802734, + -1, + -1, + 288423583, + 995144905, + 632082809, + -1, + -1, + 273062714, + -1, + 162872662, + 511429973, + 205355869, + 564257026, + 435100114, + 701463639, + -1, + 336171055, + 881888553, + 196523839, + -1, + 354748467, + -1, + 270988855, + -1, + 551599449, + 740122560, + 302164863, + 256128284, + 425785667, + 395527942, + 170050303, + -1, + 801996702, + 888173476, + 49229834, + 553369214, + 977362388, + 339057575, + -1, + -1, + -1, + 908080853, + 236934880, + -1, + 450783772, + 91640133, + 661365260, + -1, + 299065230, + 259320045, + 933585054, + 366427571, + 611975001, + 422934565, + 423099611, + -1, + -1, + 171284309, + -1, + -1, + -1, + 116805772, + 135720044, + 671377693, + 154158511, + 249937523, + -1, + -1, + 149583870, + 814532738, + 54327113, + 91480020, + 896707825, + 38194823, + -1, + 143893880, + -1, + 189543716, + 900674868, + 702222005, + 99892755, + 387679731, + 72549714, + 215999946, + 884980011, + 604446737, + 119898928, + 187407544, + 103404110, + 644609597, + -1, + 678591312, + -1, + -1, + -1, + -1, + 798206131, + 1735943, + 674395672, + 431778398, + 381957944, + 727627546, + 24628928, + 668673461, + 571704913, + -1, + 253484439, + 79407986, + -1, + -1, + -1, + -1, + 718734306, + -1, + 588089628, + 264012316, + 979808067, + -1, + 982652843, + 806218698, + -1, + -1, + 848793567, + 567978337, + 771505649, + 53670077, + 745659595, + 597190243, + -1, + 323247879, + 264996868, + -1, + -1, + 870005913, + -1, + 454988759, + 793375979, + 950271438, + -1, + 592312809, + 828073822, + 685398422, + 573153881, + 211807775, + 323292586, + 425327309, + 917347980, + -1, + 202101767, + 968121234, + 59321246, + -1, + 991196205, + 493938304, + -1, + 687657679, + 564874618, + 875544958, + 636217556, + -1, + -1, + -1, + -1, + -1, + -1, + 723045057, + 996696458, + -1, + 483279180, + -1, + 365585933, + -1, + 94849050, + -1, + -1, + 851262129, + 958877210, + 388210944, + 350877190, + 406394221, + -1, + 480183978, + 804095938, + 689407378, + -1, + 192678885, + -1, + 107279652, + 177014315, + 168467380, + -1, + 799298606, + 794657238, + -1, + -1, + -1, + 926195122, + 538616207, + 475679269, + -1, + 58316979, + 338375699, + -1, + 999227557, + 368611131, + 776637408, + -1, + 648511288, + 943365631, + 370864533, + 723714046, + 845186928, + 949626016, + -1, + -1, + -1, + -1, + 652884421, + -1, + -1, + -1, + 730540681, + 593870855, + 623605131, + 579553609, + 969419224, + 274289870, + 479611514, + 858393866, + 17560342, + 44636397, + 941824398, + 391232213, + -1, + 985635197, + 190952176, + 98938996, + 247663038, + -1, + -1, + 740100395, + 228574973, + 437854680, + -1, + -1, + 717780322, + -1, + 641193069, + 691895130, + -1, + -1, + 608894159, + 593444442, + 553820539, + 274566852, + -1, + 195878988, + 439677691, + -1, + 142868875, + 180808048, + 340548255, + 789097517, + -1, + 274405576, + 12114503, + -1, + 107132789, + 185624246, + 569641563, + 841996248, + -1, + 793609888, + -1, + -1, + 736588802, + -1, + 122224719, + 301868524, + -1, + 587191706, + 289312054, + 217252982, + 662454453, + -1, + 103393592, + 87155415, + 642756949, + 231817986, + 571010781, + -1, + 125041808, + 93968634, + -1, + 975964666, + 800643377, + -1, + 962683068, + 428551677, + 722353109, + 429711254, + 444613447, + 508341235, + 74412425, + 911447492, + 612589244, + -1, + 462380711, + -1, + 47604503, + -1, + 271414555, + 696510489, + 474937925, + -1, + 29945264, + -1, + 626544625, + 387353060, + 967197282, + -1, + 697891229, + -1, + 347024779, + -1, + 51314666, + -1, + 652560599, + 816414583, + 401345750, + 298085772, + 575570342, + -1, + -1, + -1, + 117066236, + 465881251, + 371874067, + 699957778, + -1, + -1, + 578643574, + 615374888, + 830723292, + -1, + -1, + 248584435, + 558121102, + -1, + -1, + -1, + -1, + 461502339, + -1, + 832012413, + 939304696, + -1, + 368172451, + 584439884, + -1, + 380589001, + 684070038, + 872724556, + 334809632, + 138862425, + 752891161, + 757057397, + 244560321, + 905253338, + 470529305, + 232209255, + 880063349, + -1, + -1, + 589855361, + -1, + -1, + 498545834, + -1, + 123757856, + -1, + 735563376, + 79694039, + -1, + 22626278, + 503773132, + 602493504, + 381335006, + 704393884, + -1, + 717734644, + 586523876, + 220001462, + 457864073, + 693536303, + 918008666, + -1, + 463632071, + 264330918, + 687919286, + 90042022, + 754670124, + -1, + -1, + 875715580, + 763197798, + 113348796, + -1, + 12599096, + -1, + 505420197, + 191415866, + 625694902, + 706874, + -1, + 449697835, + 49806391, + 280470450, + -1, + 449625583, + 480749462, + 470407236, + 968203391, + -1, + 663714764, + -1, + 560271136, + 864281174, + 913356268, + -1, + 925316510, + -1, + 410405182, + 1641700, + 328540339, + -1, + 892724325, + 119213534, + 728607043, + 586556131, + 42440369, + 59057109, + 676019245, + 610414981, + -1, + 433575351, + 732918445, + -1, + 350995221, + 746452701, + -1, + 66955464, + -1, + -1, + -1, + 228536181, + -1, + 833947994, + 691153032, + 906239093, + -1, + 127425911, + 479339344, + -1, + -1, + -1, + 835126527, + -1, + -1, + -1, + -1, + -1, + 497477992, + 470329018, + -1, + -1, + 458747980, + 84764074, + -1, + 828518606, + 606705338, + -1, + -1, + 801087792, + -1, + 670015726, + 806449038, + 818316744, + 536481354, + 998573673, + 303183562, + 800243498, + 711516261, + 829862926, + 98287381, + 17043054, + 766236030, + 159383895, + -1, + -1, + -1, + 575804681, + 390331942, + -1, + 49263493, + 318698508, + -1, + -1, + -1, + -1, + 661397871, + -1, + 703071205, + 665174375, + 972524596, + 105595688, + 704486331, + 655571405, + 950001145, + -1, + 87431918, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 989400232, + -1, + -1, + 366234929, + 282357596, + 357594793, + -1, + -1, + -1, + 150903394, + 584527678, + 759440014, + -1, + -1, + -1, + -1, + -1, + 347418456, + 921582220, + 891118009, + -1, + -1, + 305979782, + 127466568, + 874918229, + 991280538, + 155427095, + -1, + 59029040, + 642365890, + -1, + -1, + 901068833, + -1, + -1, + 261270918, + 200919134, + 749847278, + -1, + 640308166, + 979206312, + 809465443, + -1, + 517390363, + -1, + -1, + 661267949, + 876012905, + -1, + 642412598, + 555578880, + 651558857, + 845375032, + 595206820, + 572226115, + -1, + 63247909, + 942854310, + -1, + 150125989, + -1, + 181555790, + -1, + 5409643, + 704101738, + 469207117, + 533832490, + 624875164, + -1, + -1, + 813365064, + 483720446, + 146390966, + 72837969, + -1, + 794431503, + 566573084, + 62146725, + 525102638, + 781333557, + 53210646, + 562730413, + -1, + 633399852, + 594616330, + -1, + 652587314, + 821587973, + 763689383, + -1, + -1, + -1, + -1, + 927120998, + -1, + 293313476, + 867879944, + -1, + 589575090, + 82049690, + 886006270, + -1, + 460100426, + 364914662, + 172664440, + -1, + 469949676, + -1, + 130166102, + 123692517, + 391716852, + -1, + 547588442, + -1, + 30346394, + -1, + 909693764, + -1, + 982230019, + -1, + -1, + -1, + 833571553, + 394996159, + 570045565, + 369902479, + 567197858, + 408154475, + -1, + 5988426, + 781322352, + 894847563, + 128543517, + 821158025, + -1, + 574183938, + 578445472, + 581563901, + 853091473, + 823845423, + -1, + 592098503, + 665274072, + 982875591, + -1, + -1, + 979437289, + 276505050, + -1, + -1, + -1, + 403574570, + -1, + -1, + -1, + -1, + 462841836, + -1, + 800336067, + 588748799, + 962121289, + 861044595, + 460306035, + 669803533, + -1, + -1, + -1, + -1, + 99892827, + 896236480, + 593470426, + 913614502, + 422277042, + 910602813, + -1, + 95442206, + 601290184, + 303887595, + -1, + 822563900, + -1, + 470397449, + 196866711, + -1, + -1, + -1, + 371240712, + 646987404, + 33203324, + 68832805, + -1, + 396703485, + 36862460, + 162748805, + 509954098, + 362317237, + -1, + 819959791, + 727699053, + 578271403, + -1, + -1, + 985686150, + 193922493, + 824193068, + 758294390, + 866272280, + 344866156, + 12613117, + 237109767, + 218435664, + 496257828, + -1, + 206154915, + -1, + 424501619, + 557667011, + 948330703, + 23765663, + 605730269, + 292498611, + 163424064, + -1, + 745896078, + 132900196, + 213771708, + 739603204, + 922127003, + 854541792, + 295315315, + 246488814, + -1, + 829297232, + 449364665, + 454213077, + -1, + -1, + 937711139, + 653089008, + 617636484, + 889621312, + -1, + -1, + 304693572, + 729420208, + 952001448, + 927066266, + 255224033, + 816797282, + 700705529, + -1, + 861805504, + 300300856, + 94374638, + 705960180, + 846811081, + 914513863, + 263442429, + 506274494, + -1, + 580767335, + -1, + -1, + -1, + 761157009, + -1, + 103697033, + 646064655, + 342562133, + 956466256, + 466728175, + 56563171, + -1, + -1, + -1, + 503502938, + 899286365, + -1, + 472132120, + 169409161, + -1, + 576165155, + -1, + 407141985, + 796028462, + 242126117, + 628553252, + 588554432, + 668888134, + 372125753, + 808060181, + -1, + -1, + 576828236, + 361533735, + 604614907, + 177148173, + -1, + 850170614, + 419735277, + 56704362, + 88530983, + 401909654, + -1, + -1, + -1, + -1, + -1, + 605382740, + 90265357, + 413834115, + 66093272, + -1, + 43649678, + 423023280, + 390562761, + 566995433, + 183279893, + 152963883, + -1, + 705281467, + 930216924, + 497069949, + -1, + 945421126, + -1, + 943833237, + 894401923, + -1, + 680441680, + 62037806, + -1, + 674527194, + 716921905, + 374570248, + 994834174, + 487494223, + 437669009, + 390106472, + 228227510, + 854580544, + 568438785, + 414894903, + 765168392, + 534763772, + -1, + 805246862, + 818860097, + -1, + 928812593, + 82649346, + 502228628, + 102694813, + 927611190, + 850199359, + 536966700, + 953489110, + 49407790, + -1, + 333193819, + 898735973, + 615804258, + 947315714, + 485129921, + -1, + 683320163, + -1, + 974530105, + 450184648, + 800388444, + 150382749, + 544229158, + -1, + 106681858, + -1, + 231660454, + -1, + -1, + 128622334, + 90670865, + 689746866, + 934228715, + -1, + -1, + 95997765, + 487288810, + -1, + -1, + -1, + -1, + 235278977, + 594649310, + 590722492, + 817451358, + -1, + 709991467, + 939310609, + 208605638, + -1, + -1, + -1, + 247519300, + 837186714, + -1, + 780170847, + -1, + 231919065, + -1, + -1, + 669787577, + 575380759, + 66055353, + 69894928, + 659238552, + 676459827, + 436936683, + -1, + 632057170, + 294837917, + -1, + -1, + -1, + -1, + -1, + 367187817, + -1, + 997225409, + 489354476, + 567906584, + -1, + -1, + 459625704, + 496068589, + 540036159, + 299995405, + -1, + 349225707, + -1, + 934080782, + 20781407, + 482309353, + -1, + 746845826, + 95883985, + -1, + 910472169, + -1, + 882881860, + 772109830, + 315429164, + 370858315, + 743629766, + 230958454, + 81186230, + 308568226, + 634515291, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 267911569, + 200045251, + 403970354, + 248445774, + 487206965, + 421392833, + 978753528, + -1, + 931921753, + 276199466, + -1, + -1, + 368486635, + 467717564, + -1, + -1, + 571008842, + 962104394, + 917169419, + 2215220, + -1, + -1, + 46746992, + 326233399, + 347461909, + 827265159, + -1, + -1, + 882661647, + 328995623, + 93594638, + -1, + 988579006, + -1, + 924494605, + -1, + -1, + -1, + 61396166, + 432829977, + 607119923, + -1, + 684989075, + 139474858, + -1, + -1, + 52307112, + 240522978, + 26582397, + 851647951, + 74537954, + -1, + 872065265, + 144267194, + -1, + 975925847, + 705921637, + 346891994, + -1, + 550962181, + 38587805, + 871891954, + -1, + 26535681, + 387720671, + -1, + 248230699, + 123640425, + -1, + 924540454, + 867290671, + -1, + 109838898, + 179669709, + 515054135, + 209478076, + -1, + 121561110, + 188252486, + -1, + 518197892, + 887988483, + 761922705, + 454810075, + 251152616, + 73882246, + 502233880, + 177462282, + -1, + 35450958, + 921430160, + -1, + -1, + 10996954, + 32602172, + -1, + 372028239, + 312089922, + 196032428, + 700302009, + 978430272, + -1, + 252578072, + 71142491, + 260314061, + -1, + 829156329, + 290243651, + 587739675, + 83176197, + 395311030, + -1, + 47875022, + 282055011, + -1, + -1, + 278650545, + 400367919, + -1, + 385693475, + 621783441, + -1, + 574586897, + 395339211, + -1, + 476070196, + -1, + 849731319, + -1, + 845148988, + -1, + 23739219, + 84968246, + -1, + -1, + -1, + 113506850, + -1, + -1, + 512937002, + 568688996, + 932335897, + 233532878, + 304582302, + 637933349, + 954435834, + -1, + -1, + 28328972, + 881777390, + 802330300, + 113327822, + 60296866, + -1, + -1, + 428017138, + 747420101, + 634140923, + -1, + 935265133, + 469775911, + 195988705, + -1, + 818130303, + -1, + 552425878, + 231296551, + -1, + 332623627, + -1, + 625786762, + 717484456, + -1, + 792062667, + -1, + 381611391, + -1, + 464236545, + 260294437, + 27319769, + -1, + 755119482, + -1, + 95262393, + 596942672, + -1, + 719675641, + 954610239, + -1, + 670255576, + 631429153, + -1, + 870218494, + -1, + -1, + 106894456, + 9015455, + -1, + 756493867, + 11198828, + 949168355, + 9699661, + 232516717, + 919962824, + 986173636, + 884864312, + -1, + -1, + 485791879, + 394146603, + -1, + 534843085, + -1, + 813958917, + 192236297, + 609072478, + -1, + 927016535, + 152261114, + -1, + -1, + 53021992, + -1, + 871324371, + -1, + 63182702, + 982661168, + -1, + 986479086, + 296827500, + -1, + 308805677, + -1, + 191800468, + -1, + -1, + 992536080, + 631613893, + 379755039, + 480499655, + 299154956, + -1, + 549076683, + 55549439, + -1, + 903627255, + -1, + 59189390, + 757780541, + -1, + 452026138, + 843273967, + 627032167, + -1, + 511953783, + 354809946, + 735301620, + 417827639, + -1, + 999621291, + 250123099, + 646596802, + 879912726, + -1, + -1, + 944616925, + 477761656, + 688283510, + 593461755, + 491775119, + 266762090, + -1, + 488888501, + 573149829, + 305901100, + 833396191, + 336787879, + -1, + 298535624, + -1, + 22433139, + -1, + 56872786, + 200807653, + -1, + 981429712, + 440195464, + -1, + -1, + 425268066, + 717532456, + 532747570, + -1, + 404830042, + 429566590, + 663607677, + 45525814, + 985103919, + 239729429, + -1, + 544671380, + 855329278, + -1, + 240809238, + 710489446, + 313040053, + -1, + -1, + 16281221, + 181139091, + -1, + 621728091, + 967841487, + -1, + 714846746, + 606464752, + 201199025, + 371944725, + 642930326, + 918944975, + 916664842, + 818744439, + 604996858, + 616092145, + 815443729, + -1, + -1, + 274845337, + 40474433, + 130632416, + 150955047, + -1, + -1, + 586851812, + 415860018, + 654085891, + 650170875, + -1, + 761380530, + 120905396, + -1, + 226116127, + -1, + 998993547, + 271403069, + 984407396, + 829575961, + -1, + 771768526, + 920981388, + 425796561, + 597807879, + 78816033, + 853200080, + 287244875, + 577848154, + -1, + 467805777, + -1, + -1, + 607768415, + 269740166, + 722673958, + 242170686, + 605521711, + 649202967, + 85566581, + 166731111, + 766839681, + 507828737, + 740689193, + 499633978, + 989145915, + 2563786, + -1, + 472135028, + 18017972, + 936310281, + 809311223, + 666202680, + -1, + -1, + -1, + 935538048, + 707776922, + -1, + 379274253, + -1, + 532079547, + -1, + 497350581, + -1, + 645357033, + 187309339, + -1, + 698656498, + 136589459, + -1, + -1, + -1, + 19192111, + -1, + 574475053, + 82251264, + 948836982, + -1, + -1, + 955670329, + 25420356, + -1, + 89307869, + 713022468, + -1, + -1, + -1, + 335709701, + 596734217, + -1, + -1, + -1, + -1, + 132015143, + -1, + 232722197, + 951393019, + -1, + -1, + 94434671, + -1, + 432867437, + 720321817, + -1, + 579675639, + 304450748, + -1, + 828616934, + 495109237, + 4656201, + 373340450, + 251801787, + 502169677, + 257791893, + 313044540, + -1, + -1, + 586428076, + 173642279, + -1, + 742596239, + 561690363, + 961505148, + 411238890, + 472715945, + -1, + 811197004, + 539838848, + 262585647, + 76300810, + -1, + 333262402, + -1, + -1, + 443477609, + 597482553, + -1, + -1, + -1, + 346878758, + -1, + -1, + 340177929, + 924245090, + 768973619, + -1, + -1, + 52300086, + 27465300, + 26888994, + 116211624, + -1, + 947501367, + 453806465, + 382994366, + 834264626, + -1, + 206856022, + 40769922, + 60373899, + 277346988, + -1, + 701223257, + -1, + 886376855, + 475478017, + 602256834, + 214727724, + 501718629, + 820742667, + 138447698, + 330888981, + 725993577, + 58129909, + 13958708, + 160186888, + 523261888, + 668372638, + 43495533, + 760126992, + 44662012, + 691154094, + -1, + 938134691, + -1, + 29959545, + 684315486, + 617817687, + 598087598, + 463824366, + -1, + 651066087, + -1, + 484998463, + 998486422, + -1, + -1, + 225663689, + -1, + -1, + 961530399, + -1, + 532890290, + 177522987, + 992281871, + 328683366, + 260569431, + 333471093, + 551392851, + 381824201, + -1, + -1, + -1, + -1, + 548785819, + 194452841, + 636934379, + 491749239, + 235558102, + 704074548, + 463999170, + 859020041, + -1, + 83364611, + 540333991, + -1, + 927725576, + 409817074, + 966343846, + -1, + 148814416, + 403670406, + 807106557, + 238228565, + 193083671, + 524777841, + -1, + -1, + 339377404, + -1, + 880116110, + -1, + 664856845, + -1, + -1, + 997465740, + -1, + 622830897, + -1, + 289995545, + 577075897, + 407307285, + 663228159, + 415059894, + -1, + 463997863, + -1, + -1, + 89577109, + 725802396, + 909305629, + 567882588, + 663792816, + 227369062, + 68731602, + 186610881, + 389456355, + -1, + 242129107, + -1, + -1, + 984538533, + 73269873, + 340214852, + 554327527, + -1, + 339383486, + -1, + 910460105, + 635728469, + 52049657, + 211846437, + -1, + 823969224, + 307001125, + 986691927, + 210063445, + 503709028, + 233597122, + 477465769, + 518779412, + 763698560, + 318746610, + 241793453, + -1, + 52096958, + 198671300, + 37752511, + -1, + -1, + -1, + 981370817, + 193612162, + -1, + 537286604, + 312843334, + -1, + 347092063, + 919705290, + 547688325, + -1, + -1, + 816771445, + 43007067, + 979356992, + -1, + -1, + 403452479, + 995590909, + 871449339, + 952834400, + 653142122, + 121079547, + 934762871, + 809858366, + -1, + 44701846, + -1, + 816913680, + 831978075, + -1, + -1, + 55971751, + 833714709, + 725249373, + 752974406, + 326022409, + 388912355, + 393176404, + 888911309, + 58347150, + 115429874, + 309686260, + -1, + 286973473, + -1, + 598046480, + 165554392, + 950828700, + 948550905, + 740566058, + 839611170, + 467125150, + 890686530, + 330682612, + 703661214, + 747154630, + 682777763, + 588488522, + -1, + -1, + -1, + -1, + 247156585, + -1, + 301556846, + 459966682, + 919075064, + 500004978, + 807017792, + -1, + 902702757, + 237334494, + 464732383, + 124731411, + 748663211, + -1, + -1, + 631068266, + -1, + 532495346, + 155711068, + -1, + -1, + -1, + -1, + 68051174, + -1, + 876976008, + 257226935, + 130301221, + 19128138, + -1, + -1, + 820631920, + 765564458, + -1, + 615584776, + 746090658, + -1, + -1, + 566797865, + -1, + -1, + -1, + 996212490, + 653613334, + 173011504, + -1, + 204476837, + 656765166, + 891794703, + 71002724, + 724796666, + 79862740, + 282202528, + 369227670, + 852731871, + 79881840, + 271588470, + 749638684, + -1, + 329478798, + 712925980, + -1, + -1, + 958368277, + 816589957, + -1, + -1, + 512455090, + -1, + -1, + 499017520, + -1, + 874961353, + -1, + 901201439, + -1, + -1, + -1, + -1, + 258120279, + 604558575, + 901948449, + 955009937, + 467522042, + -1, + 584208971, + 128154463, + 694811044, + 759269204, + 620727834, + 477373828, + -1, + 918910626, + 208077663, + 530842918, + -1, + 58528954, + 501103172, + -1, + 487551639, + 631096842, + 359909459, + 684486256, + 803575937, + -1, + -1, + -1, + 145181690, + -1, + 487426088, + -1, + 164630331, + -1, + 814536573, + -1, + -1, + 27918198, + 427073533, + -1, + 517350856, + 913734271, + -1, + 692855332, + 186062624, + 202723937, + 995226230, + 608432567, + -1, + 292601042, + 833010403, + 979773718, + 565181151, + 88156077, + 842743903, + 855776159, + 611170862, + 744828160, + 674158442, + 360929039, + 807675561, + 568418318, + 927340944, + -1, + 327012875, + 609664842, + 754309738, + 186852413, + 99197193, + 674855566, + 465248352, + 575670878, + 676963663, + 245242616, + -1, + 322574719, + 460837670, + 258472331, + 220766760, + -1, + 774913385, + 393255198, + 95358554, + 383807031, + -1, + 286018028, + 784919843, + 83428765, + -1, + 55264166, + 754609055, + 838176707, + 881903639, + -1, + 467161559, + 696399733, + 754593818, + 192409719, + 431262139, + 76657003, + 234761229, + 557371365, + 57956160, + 654295433, + 960173614, + -1, + -1, + 762516775, + -1, + 599852853, + 226775248, + -1, + 25462090, + -1, + 97329882, + 361566443, + 51533969, + -1, + 597419499, + -1, + 459171912, + 781681722, + 372539414, + 375207571, + 817409539, + 457637207, + -1, + 485213152, + -1, + 298770705, + -1, + -1, + 539570179, + 95479451, + 814024621, + 63342624, + -1, + -1, + 751427792, + 901558866, + 702573310, + -1, + -1, + -1, + 795204272, + 817411650, + 769412701, + 694223312, + 900503997, + 250713772, + 527472590, + 274065877, + 742646721, + 617467723, + -1, + -1, + 75597755, + 526462898, + 982353204, + 13249156, + 896076386, + -1, + -1, + -1, + 405780919, + 77688258, + -1, + 861050471, + 674859238, + -1, + 508790547, + 642107244, + 777781620, + 71340640, + -1, + 134574799, + 540606510, + 343143476, + 820766921, + 757882433, + -1, + 323511569, + 271276591, + -1, + -1, + 627184552, + 844436152, + -1, + -1, + 732659341, + -1, + 975174310, + 867917689, + 219552020, + -1, + -1, + 215454373, + 416213006, + -1, + 785881168, + 336209396, + -1, + 774034175, + -1, + 36045264, + 276180958, + 334729844, + 503969219, + 304432095, + 607749735, + 147785588, + 989967466, + 365334148, + -1, + -1, + -1, + 795130573, + 12881199, + 761779591, + 685972361, + 291845102, + 891129467, + 746607201, + 938903533, + -1, + 559678539, + 252688188, + 93369414, + 101409231, + 609759865, + 658146179, + 700200613, + 932667032, + -1, + -1, + 320719984, + 972721151, + 301412420, + -1, + 118341936, + 944540991, + 864573540, + 730550756, + 98737692, + 695473140, + 887464533, + 4822917, + 833748051, + -1, + 892108046, + -1, + 896207869, + 448076748, + 774146534, + 193741966, + 880607548, + 754435479, + 678530505, + -1, + 543146777, + -1, + -1, + 426966614, + 690132554, + 62480137, + -1, + 845783864, + 369273268, + 204085414, + 822500451, + 50028991, + 485093724, + 715092438, + -1, + 438092025, + 84417074, + 157109661, + -1, + -1, + 994238449, + -1, + 500623807, + 231421843, + 545144045, + 673865829, + -1, + -1, + 104157515, + -1, + -1, + 772019999, + 179452137, + -1, + -1, + 185379985, + 843484189, + 911593676, + 248211523, + -1, + 342474199, + -1, + 522396265, + 821716244, + 255713996, + 964889036, + 853177410, + 471061812, + 212753779, + 528908688, + 981015135, + 338800765, + 610659282, + -1, + 277425386, + 226466701, + 581564849, + 436113135, + 329399279, + 981314331, + 90406058, + -1, + 454938983, + -1, + 474265771, + 785359854, + 611527245, + 690273975, + 425423596, + -1, + 32653042, + 104441274, + 599174738, + 693352747, + 121187420, + -1, + 925172921, + -1, + 931943044, + 546076076, + 595372503, + 812446451, + 580873514, + 736777041, + 945634254, + 300986966, + 158561935, + 814252723, + -1, + 447846840, + 879011821, + -1, + -1, + 310456227, + 217174701, + 133111254, + 122755991, + 563210904, + -1, + -1, + 922725265, + 557952032, + 525234545, + 690612567, + 816192792, + 660586865, + 270677488, + 928799467, + -1, + 271065871, + -1, + 434058806, + 653453728, + -1, + -1, + 445538336, + -1, + -1, + 797875543, + 43273790, + 84983474, + 352409318, + 246008851, + 471772499, + 317961834, + 917788926, + 433131151, + 692867164, + -1, + -1, + 925095538, + 383286297, + -1, + 41246989, + 480212340, + -1, + 586960199, + 193373167, + 878438615, + 751024369, + 164777623, + 65163984, + 417988498, + 286350567, + 140455169, + 435858968, + -1, + -1, + 783532460, + 198995440, + 591253441, + 394112200, + 487557484, + -1, + -1, + 20575640, + -1, + 18658813, + 713562148, + 211028371, + -1, + 975372424, + 668620177, + 682219247, + 466073729, + 571712524, + 571605868, + -1, + -1, + -1, + -1, + -1, + 701479219, + -1, + 242541867, + -1, + -1, + -1, + -1, + 735555982, + 544692190, + 167375976, + -1, + 90513411, + 808467281, + 799217618, + 665073694, + -1, + 423938528, + 500508573, + 448430966, + 613314321, + -1, + 495515960, + -1, + 959266805, + 136181877, + 842337933, + 505879491, + 504295133, + 460481329, + 186711263, + -1, + 849308830, + 358439159, + 669142167, + -1, + -1, + -1, + -1, + 577530933, + 480877266, + 196843668, + 532417875, + 316051023, + 203900444, + 355733722, + -1, + 248309333, + 843175723, + 286804288, + 827792410, + 560241175, + 959719894, + -1, + -1, + 843431138, + 266624156, + -1, + 783365060, + -1, + 399513905, + 371363444, + 855574500, + 539255889, + 531633166, + -1, + 254981475, + 440482307, + 147522923, + 606310441, + 533175704, + 667592144, + 787147897, + 131477585, + 186456772, + 571077683, + -1, + 363512971, + 332409072, + 682313288, + 526132839, + 577868114, + 651372776, + -1, + 432223441, + 412108048, + -1, + -1, + 91589738, + -1, + -1, + 159840774, + 423321599, + 845596855, + -1, + 682961763, + 632652741, + 224964080, + 363923919, + -1, + -1, + 984571952, + 975038723, + -1, + -1, + 704202396, + -1, + 468385418, + -1, + 200611776, + 222373230, + 874916057, + -1, + 613273495, + 678494162, + 852322355, + 232925544, + -1, + 473242367, + 653267755, + 51425753, + 749129278, + 409849580, + 561781938, + 568955872, + -1, + 921534483, + -1, + 963017237, + 820800269, + 864662112, + 197589235, + 287317199, + 966881139, + 644405375, + -1, + 906958882, + 359722614, + 147720086, + 489616050, + 680697325, + 235881331, + -1, + 821821463, + -1, + -1, + 109758475, + -1, + -1, + 422685031, + -1, + 550151461, + -1, + 296165039, + 307998788, + -1, + 670399712, + 66980253, + 95457730, + 474427808, + -1, + 23012520, + -1, + 523119963, + 757495320, + 721207772, + 699699127, + 294816667, + 195620394, + -1, + 588985924, + 372367248, + 599199735, + -1, + 254637783, + 284685024, + -1, + 98463368, + 717335478, + 676491766, + 228629318, + 818387663, + -1, + -1, + 272166045, + 279363633, + 798189849, + -1, + -1, + 155093229, + 883868748, + 891510099, + 893069994, + 30338093, + 31329577, + 728674602, + 223469788, + 888639106, + 653355838, + 60740379, + -1, + 890618905, + -1, + 351297187, + 641384671, + 472530726, + 318420181, + -1, + 613370024, + 725593466, + 73444979, + 132312319, + 582075619, + -1, + -1, + 375001460, + 368912728, + 368137436, + 345702619, + 496137163, + 405047235, + 964123688, + 654882632, + 821416571, + -1, + 605679069, + -1, + 412462528, + 97629661, + 821716800, + 891794798, + 663954818, + -1, + 451384432, + 628459512, + 1753700, + 815934540, + -1, + -1, + 311480038, + -1, + -1, + -1, + -1, + 441319688, + 254452083, + 765018830, + 313542131, + 131319814, + 872599203, + 990031638, + 227959939, + 149445934, + 648529177, + -1, + 653976500, + 744822788, + 451983404, + -1, + 442783951, + 759996221, + 508439539, + 121420003, + 722161868, + -1, + 924272346, + 957236061, + -1, + -1, + 327858175, + -1, + 762772396, + 29612297, + 638620754, + -1, + 211074415, + 468139428, + 382060062, + -1, + 220071356, + 650459976, + 961360162, + 36640335, + 600576706, + 982588268, + -1, + 889371288, + 908258649, + 696109620, + -1, + 434142779, + -1, + 185563777, + 598547827, + 233243906, + 273544267, + 815532429, + -1, + 514253185, + 500650335, + 240762323, + 575336226, + -1, + 133319612, + 189015396, + -1, + 587064872, + 771815443, + -1, + 325747574, + 796399729, + 559176666, + 248504139, + 592791345, + 799126719, + 311394174, + -1, + 660544192, + 97885298, + 597022477, + -1, + -1, + 167852319, + 8414763, + -1, + 593491009, + 728923767, + 980204106, + 748414427, + 139243552, + 40158932, + 953722161, + 744465227, + 311313357, + 684697504, + 412602056, + 480393468, + -1, + 406911705, + -1, + 529068884, + -1, + -1, + 429705240, + -1, + -1, + -1, + -1, + 211914122, + 207010765, + 703253135, + -1, + -1, + 443319967, + 831871931, + 346732833, + -1, + -1, + -1, + -1, + -1, + 51883736, + 476881072, + -1, + 689389420, + 293515149, + 961522910, + -1, + -1, + 693651261, + -1, + 502961862, + 254802531, + 172409234, + -1, + 388108290, + 16542820, + 482323071, + 340689469, + 955504387, + 878578320, + 967907114, + -1, + -1, + -1, + -1, + -1, + 307645066, + -1, + -1, + 41617839, + 434483074, + 653611389, + -1, + 602856044, + 60583909, + 964724522, + 330634969, + 497161391, + -1, + 689080230, + 481039449, + 379032371, + -1, + 273904372, + -1, + 683710235, + 594967260, + 611206687, + -1, + -1, + 215159561, + -1, + -1, + 662779762, + -1, + 60361478, + 177205236, + 911163565, + -1, + 46832625, + -1, + 420167522, + 985272086, + 705911361, + -1, + 312423914, + 254194228, + 930092767, + -1, + 110720856, + -1, + 762381173, + 774099910, + 145924084, + -1, + 213631430, + -1, + 217561449, + 882744530, + 613376571, + -1, + 986652562, + 181295945, + 552134992, + 818965937, + 236510455, + -1, + 684692556, + 657411223, + -1, + 394953682, + 65158692, + 962906000, + -1, + 296837824, + 684130929, + 884132086, + 384456471, + 92798819, + 497140440, + 281019183, + 798932873, + 161432913, + -1, + 857567677, + -1, + 577537306, + 349981847, + 103983582, + 932584611, + 309888318, + 636336738, + 185328622, + -1, + -1, + 744694332, + 346488003, + 268810957, + -1, + -1, + 269009029, + 393931091, + 21970258, + 103738397, + 275024069, + -1, + -1, + 371200259, + -1, + 13850856, + -1, + -1, + 84800977, + 753777510, + 34362342, + 349548050, + 34873531, + 868091760, + 999898173, + -1, + 206343059, + -1, + 853526259, + -1, + -1, + 556072875, + 959391255, + 764965101, + -1, + 685132365, + 745720385, + -1, + -1, + 383035469, + 615587314, + -1, + -1, + 991072076, + 365031944, + 287222116, + -1, + -1, + 681519318, + 418350511, + 696384826, + -1, + 786388863, + -1, + 211891883, + 140714277, + 545248413, + -1, + 352816636, + 883692738, + 242475514, + 392947611, + -1, + 337814962, + -1, + 28566780, + 819619448, + 365963743, + -1, + 669512243, + -1, + 643382115, + -1, + 213622201, + -1, + 47000274, + -1, + -1, + -1, + 507950352, + 934811968, + -1, + -1, + 56733188, + -1, + 496899593, + -1, + -1, + 799391809, + 421365920, + 210312909, + 706796858, + 948087478, + 478453603, + 49701033, + 211059771, + 87623836, + -1, + -1, + 295562456, + 136548547, + -1, + 798905379, + 780389262, + 302251311, + 992324006, + 706330163, + 221177224, + -1, + 646388165, + -1, + 648522755, + 135341637, + -1, + 415430017, + 288229737, + -1, + -1, + 439246459, + 617602052, + 393527729, + 250929494, + -1, + 989502920, + 223487196, + 988025746, + 872121342, + 124393952, + 465758276, + -1, + 885172831, + 716087970, + 730884705, + 212661659, + 766230854, + 244984106, + -1, + -1, + 254003218, + -1, + -1, + 600474308, + 940277842, + 140884132, + 57067342, + 677931274, + 118238327, + 505547332, + 335021764, + 10594516, + 647889810, + 960412209, + 359475401, + 993248904, + 799900640, + 74034560, + -1, + 605888516, + -1, + 854642838, + -1, + 945905909, + -1, + 378761357, + -1, + -1, + -1, + 677507652, + 611767229, + 680598944, + 548589466, + 120680156, + 775951748, + 249678316, + -1, + 936107088, + 146222556, + 411788889, + 516470851, + -1, + 270828405, + 447093415, + 102043257, + 299651478, + 521256680, + 233691059, + -1, + 841304036, + 318530658, + -1, + 524623514, + -1, + -1, + 433979294, + -1, + 424019853, + 830188173, + 681762746, + 218065847, + -1, + 480106694, + 13661486, + -1, + 306785290, + 745794822, + 592868950, + 657098521, + 844696759, + 174696920, + 780694796, + 243634620, + -1, + 705455440, + 963785250, + 865440792, + -1, + 465414700, + 85057654, + -1, + 139595378, + -1, + 80999309, + -1, + 910489344, + 242810377, + 592796135, + -1, + -1, + 623368039, + 430477855, + 746754006, + -1, + 683236226, + -1, + -1, + 699134342, + -1, + 970416750, + 832117934, + 338156569, + -1, + -1, + 503730768, + -1, + 553709241, + 379131959, + -1, + -1, + 319281733, + 570807871, + -1, + 244443207, + -1, + 301282434, + 609983654, + 892214895, + 397810809, + 678844396, + -1, + 907217154, + 483206412, + 519166285, + 624076307, + -1, + 952976315, + 717906171, + 280467957, + 155916292, + 932758232, + -1, + -1, + -1, + 259676423, + 979633894, + -1, + -1, + 567101705, + 446726117, + -1, + 200518621, + -1, + -1, + 170098875, + 759018174, + 32819082, + 949651116, + 779730462, + 965311589, + 364627833, + 994956135, + 775583895, + -1, + -1, + 915507133, + 316090157, + 519537345, + 753713302, + -1, + -1, + -1, + 306236662, + -1, + 240778803, + 734305855, + 99680856, + -1, + 922217309, + 659982643, + -1, + 337571277, + 782534943, + -1, + 393379844, + 49963742, + -1, + -1, + 412191672, + -1, + 75696288, + 370836851, + 408381401, + 761799453, + 898647408, + 819023289, + -1, + 945033161, + 582558994, + 378834193, + 643552552, + 566195597, + 387111391, + 967737354, + 681429594, + -1, + 275515681, + -1, + 803189554, + 203494955, + -1, + -1, + -1, + 761032176, + -1, + -1, + 123656446, + -1, + 802004854, + 8015090, + 617284768, + -1, + 293717715, + 333614498, + -1, + -1, + -1, + -1, + 857033846, + 211865779, + 847645016, + 930422016, + -1, + 141551637, + 337075546, + 951327699, + 987249434, + -1, + -1, + 377773158, + -1, + 852609868, + -1, + -1, + 678831663, + -1, + 64547840, + 892467140, + 233765089, + -1, + 998700654, + -1, + 901500733, + 24537153, + -1, + 448568564, + 781009420, + -1, + -1, + 596067429, + 345833917, + -1, + -1, + 890920011, + -1, + 619716136, + 306518669, + 504959970, + -1, + 926885876, + 365696747, + 838488995, + -1, + 122277137, + 441022206, + 771294256, + 414426600, + 454709953, + 537359481, + -1, + 155973595, + -1, + 553455784, + 113656667, + 334671442, + 570258402, + -1, + -1, + -1, + -1, + 621325461, + -1, + 997010257, + 421008811, + 601468741, + 287516535, + -1, + -1, + 922149025, + 924128212, + 74494896, + 801059113, + 27669120, + 681018618, + 425564070, + 484714368, + -1, + -1, + 422871254, + 998544157, + -1, + -1, + 959043664, + -1, + 34884708, + 474983956, + -1, + 873687737, + -1, + 268371250, + 718851688, + -1, + 149376053, + 661757568, + -1, + -1, + -1, + -1, + 951077973, + 238233010, + -1, + -1, + 671409961, + 684993092, + -1, + -1, + 283438344, + -1, + 427243429, + 240143647, + 483136101, + 58220038, + 901864791, + -1, + 700845442, + 507653911, + 42710879, + -1, + 589254927, + -1, + 512968183, + 476528407, + 557957451, + -1, + 632601587, + 511737869, + 321732777, + -1, + 582900026, + 568076285, + 810611433, + 253766585, + 724396970, + 664060668, + 648193088, + -1, + -1, + 692049891, + 41438314, + 787871398, + 39712938, + -1, + 211064515, + 91400485, + 154106491, + 346011593, + -1, + 740916377, + 436467430, + 951265810, + 280973666, + -1, + -1, + 870074304, + -1, + -1, + 628944140, + 588201806, + 931806546, + 924187459, + -1, + 219608537, + 327231116, + -1, + 634027371, + 698107370, + -1, + -1, + 845886367, + 375934257, + 358255646, + 827446091, + 145652257, + 561015132, + 141858036, + -1, + 621981143, + 885301583, + 191185708, + -1, + 866325795, + 120665672, + 198608466, + 253172286, + 965565378, + -1, + 577995678, + 92273684, + 410069428, + 87284874, + -1, + -1, + 518365221, + -1, + 346843666, + 342739494, + 340008935, + -1, + 731459295, + -1, + -1, + -1, + 581621301, + 456830954, + -1, + 508481386, + 559277096, + -1, + 217824997, + 29977078, + 664462153, + 495789980, + -1, + 574337639, + 588981550, + 350866292, + 293780389, + -1, + -1, + 485708061, + -1, + 921988269, + 222043343, + 399120395, + 77168758, + 155670902, + 77199488, + 285692942, + 774898869, + 972746522, + 850368853, + 197676537, + 70139327, + 488415442, + -1, + 89975499, + 926716953, + 550316216, + -1, + 980040304, + 222868705, + -1, + 335523741, + 135910383, + 718967280, + 146028779, + 643742839, + -1, + 269451610, + 274859556, + 584325665, + 398821145, + -1, + 432383022, + 166023641, + 704421209, + -1, + 45282979, + -1, + -1, + 733004788, + 815531508, + 280121386, + -1, + -1, + -1, + -1, + -1, + -1, + 903777698, + 801380758, + -1, + 899996669, + -1, + -1, + 418273179, + -1, + -1, + 767376667, + 499755744, + 447679081, + 427006121, + -1, + 653477727, + -1, + 919175046, + -1, + 362018681, + 750048621, + 696280704, + 408386213, + 255309016, + 148557900, + 286118278, + 83733503, + 60675069, + 313997357, + -1, + -1, + 142989357, + 135656123, + -1, + 195408749, + 75436765, + 803307367, + 494425714, + 163507895, + 111223062, + 329430732, + 708114501, + 797924803, + -1, + 164449225, + 249552815, + 831715477, + 754281168, + 661268417, + 79104713, + 173541221, + 629397403, + -1, + 575881746, + 580941300, + 77818515, + -1, + 237119604, + 390653728, + 462356581, + 36779909, + 82327906, + -1, + 213883058, + 577019401, + 963252635, + -1, + 114226342, + 157576897, + 321697058, + -1, + 319432785, + -1, + 893814027, + 365181821, + 782551607, + 671908162, + 584365314, + 170737615, + 856359864, + 903586956, + 966679057, + -1, + -1, + -1, + -1, + 632090287, + 813939109, + 641951089, + 159542157, + 98163228, + 368907269, + 701938579, + -1, + 164638238, + -1, + 910501113, + -1, + 162168570, + 543041718, + 34872013, + -1, + 404284555, + 567181873, + 585697463, + 459827999, + 451610080, + -1, + 433622630, + -1, + 931451324, + -1, + -1, + 210858224, + -1, + 975200029, + 672135753, + 941712211, + -1, + 49007467, + 559967856, + -1, + 910206259, + 869742508, + -1, + 157618476, + 739370035, + 876366406, + 274323944, + 123992444, + 585159141, + 711468054, + 203418311, + -1, + -1, + -1, + 142229750, + -1, + 287742500, + -1, + -1, + 210026860, + 583919917, + -1, + -1, + -1, + 959433114, + 724512108, + -1, + 371605738, + -1, + -1, + -1, + -1, + -1, + 318748749, + 905522068, + 916757359, + -1, + 493815692, + 762120464, + 328344958, + 166587929, + 353034100, + 773294894, + 538379057, + 9420059, + 20140872, + 142888972, + -1, + 400947582, + 197059265, + -1, + 175952523, + 141544904, + -1, + -1, + 414138122, + 528729207, + 535325264, + 966374881, + 142513204, + -1, + 147231467, + 631784159, + -1, + 950104820, + 506906650, + 211837965, + 572478327, + 357969956, + -1, + -1, + 389568718, + -1, + 776634385, + 699718546, + 688888509, + 951814255, + 507216941, + 289215560, + 885632083, + 484757387, + 699753238, + 52795553, + 105075123, + 773073081, + 568898770, + -1, + 211943100, + 61572847, + -1, + -1, + -1, + 131786405, + 249280877, + -1, + 860790446, + -1, + -1, + 164219294, + -1, + 928286288, + 713329125, + 437060927, + 999641055, + 787366080, + 523708932, + 762220865, + 25539997, + 468083594, + 305547345, + -1, + 820130781, + 650072758, + 158125059, + -1, + -1, + -1, + -1, + -1, + 577754632, + 267745055, + 714072621, + 807442523, + 745176277, + 991382070, + -1, + 829334500, + 743852413, + 173594033, + 905619037, + 836165047, + 343034825, + 249663605, + 175766084, + 564713575, + 963286842, + 220282109, + -1, + -1, + 260742017, + 175599893, + 739692786, + 811894926, + 577024559, + -1, + -1, + 192082546, + -1, + -1, + 752783039, + 724765732, + 955277772, + -1, + 565205280, + 163731029, + 29005110, + -1, + 208911027, + 77088081, + 417002252, + -1, + -1, + 100215105, + 91220582, + -1, + 501759661, + 404381103, + -1, + 45397031, + -1, + 738230623, + 901394626, + 981393214, + 996652987, + 333228797, + -1, + -1, + 737358059, + 890631004, + -1, + 620660002, + 968440824, + -1, + 785301994, + -1, + -1, + -1, + 731431128, + -1, + 977287994, + -1, + -1, + -1, + -1, + 43883020, + 767579254, + 152335636, + -1, + -1, + 685982481, + -1, + 932414920, + 393424975, + 10514699, + -1, + 271065878, + 197826456, + 406013072, + 983436745, + 561410312, + 77347530, + 665495895, + -1, + -1, + -1, + 265179216, + 867359928, + -1, + -1, + -1, + 285399904, + -1, + 7728376, + -1, + 176034815, + 809751120, + -1, + 14429810, + 489257728, + -1, + -1, + 557347541, + 87714151, + -1, + 609948356, + 881408517, + 729475867, + -1, + 632548328, + 301197789, + 548922752, + 455529506, + -1, + 174984843, + 966405863, + 841299273, + 62819186, + 675854320, + -1, + 141149679, + 150756710, + 568875871, + -1, + 732169112, + -1, + -1, + -1, + 660098049, + 347438824, + 540997803, + 167424519, + 282874996, + 417435100, + 327618001, + 243147904, + 937131006, + -1, + -1, + 974096874, + 371644090, + 682682174, + -1, + -1, + -1, + -1, + -1, + 982662142, + 680594372, + 511625357, + 427780071, + 132770564, + 506587609, + 108247966, + 770700416, + 536196089, + -1, + 436825778, + -1, + 452903579, + 773695810, + -1, + -1, + 443005611, + 190827976, + 278873426, + 290394510, + 534712290, + -1, + -1, + 319019470, + -1, + -1, + 423407169, + -1, + -1, + 78641541, + 946433521, + -1, + -1, + -1, + -1, + 52269103, + -1, + -1, + 13669769, + -1, + -1, + -1, + -1, + -1, + 980401316, + -1, + 964973869, + 611585170, + 737411842, + -1, + 486601448, + -1, + 391668542, + -1, + 262506245, + -1, + 641362404, + -1, + 808615152, + 922183356, + 598039985, + 145433177, + 467434617, + 637137362, + 44428111, + 296689518, + 307479659, + 823059420, + 808574874, + 761787145, + -1, + 618289252, + 57070574, + -1, + 58538753, + -1, + 263750614, + -1, + 879135142, + -1, + 544403803, + 347492210, + 442769743, + 103583251, + 566512458, + 725758352, + 371266447, + -1, + 258004126, + 505791874, + -1, + -1, + 749315524, + 647624560, + -1, + -1, + 246849251, + -1, + 221428447, + 97965059, + 657982592, + 117170740, + -1, + -1, + -1, + 499823114, + 584880998, + 61262554, + 298305355, + 847847777, + 703548552, + 285166559, + 15312377, + 863527196, + 779752208, + 570887415, + -1, + 943823467, + -1, + 881230216, + 549165492, + 750706048, + 792006041, + 899279499, + 939265443, + -1, + -1, + 119038203, + 171958524, + 567095797, + 921315735, + 203938893, + 284912058, + 494051953, + 534367982, + 289380934, + 297763301, + -1, + 28252260, + 103841121, + -1, + 920171902, + -1, + 8441522, + 793345805, + 798234750, + 976323132, + 338653813, + 618098607, + 26074559, + -1, + 83369852, + -1, + 677949109, + -1, + 585107325, + -1, + -1, + 320810663, + 778618466, + 712666996, + 377923140, + -1, + 876472348, + 321778623, + 905198788, + 858999864, + 753721769, + 588055293, + 304744072, + 795336663, + -1, + 301914828, + 673458729, + 9408145, + 608700611, + 102235825, + 162473025, + 33896362, + 664871837, + 778118470, + 550255438, + -1, + 852534625, + -1, + -1, + -1, + 247383175, + 476090815, + -1, + -1, + 194400157, + 394471006, + 294164732, + 344062260, + 360129750, + -1, + 866272441, + 543274783, + 888492727, + 426889703, + -1, + 524035552, + -1, + -1, + 866246586, + 469298886, + 964157144, + 125756923, + 484239034, + 257191547, + 789293890, + -1, + 771718006, + 519420342, + 947849967, + -1, + 261162068, + 61301962, + 841212363, + 475656006, + 307719185, + 264059978, + -1, + 400558950, + 582724525, + 595339609, + 844880653, + -1, + 708743849, + -1, + 376497639, + -1, + 942139555, + 640018308, + 235171928, + -1, + 569388241, + 299819030, + 604738863, + 31808740, + -1, + 173533711, + 866122431, + 340318625, + -1, + -1, + 200176959, + 43897363, + -1, + 616209974, + 85533442, + 230866921, + 648314637, + 930574266, + 830449946, + -1, + -1, + 977871702, + 109550217, + 461528439, + 263019583, + 936191940, + 475087591, + 733084490, + 802359748, + 13710621, + 314917980, + 790164818, + -1, + 369698295, + 277320220, + 981578825, + 163934074, + 418740246, + 728802634, + 249884009, + 351498902, + 992343751, + -1, + 480765972, + 59276161, + 434857790, + 828603232, + 778353197, + 410855686, + 87997901, + 669391082, + 634837834, + 738377293, + -1, + 842968460, + 206890993, + 617378873, + -1, + -1, + 563035607, + -1, + 338569816, + 406558471, + 215976301, + 372199264, + 492852468, + 738183516, + 883662980, + 968808262, + -1, + -1, + -1, + 857843786, + -1, + -1, + -1, + -1, + 25600335, + -1, + -1, + -1, + 526280269, + 926491087, + 421873655, + 974115707, + 648592284, + 483658257, + 764378786, + 784053139, + 118064194, + 132611858, + 400786209, + 818208606, + 660871172, + 273737552, + 1455744, + 818627861, + 131284459, + 781376520, + -1, + 745404898, + -1, + 121824918, + 499241914, + 436808108, + -1, + 902438635, + 416061265, + 76128554, + 44339872, + 931950806, + 570049162, + -1, + -1, + -1, + 12605068, + 941441546, + 199174144, + 819164537, + 396841948, + -1, + -1, + 78330933, + 685162530, + 914512837, + 539949137, + -1, + -1, + 344210832, + -1, + 25087191, + 883847036, + 391708625, + 566666408, + 394826730, + 495044840, + 423024503, + 766953171, + -1, + -1, + 971560257, + -1, + 308958993, + 673877486, + -1, + 130543705, + 354573923, + 189734846, + -1, + 519709821, + 231479547, + 156495606, + 22499125, + 134992833, + -1, + -1, + 857778549, + 440825238, + 274192234, + 914675440, + 696932133, + 442805991, + 206557155, + 146270283, + -1, + 766514549, + 587379401, + 577169768, + 54036364, + 736774262, + 728642788, + 514664060, + 536711169, + -1, + 814909996, + 129018719, + -1, + 517509684, + 946615772, + -1, + 58426735, + 312275733, + -1, + 90734541, + 777966098, + 681852114, + -1, + 440926129, + -1, + 419320146, + -1, + -1, + 692170883, + -1, + 825504152, + -1, + 687047383, + -1, + -1, + -1, + -1, + -1, + 776566680, + 965861414, + 635941773, + -1, + 365170440, + 434065270, + 234521018, + 865431410, + 43235093, + 835442092, + 969874988, + 108106536, + -1, + 143616557, + 597729614, + 690993758, + 810141075, + -1, + -1, + 845889907, + 405610911, + -1, + -1, + 228083797, + -1, + 217289252, + 284649024, + 290779434, + -1, + -1, + 496789138, + 611198688, + 840523204, + 250467525, + 177532544, + -1, + 313529869, + -1, + 637272103, + 839458134, + 108571511, + -1, + 980862337, + 32354005, + 903472372, + 181039718, + -1, + 108358944, + 502309965, + 678537338, + 34682484, + 794299699, + 855329834, + 677337948, + 854153882, + -1, + -1, + 1763869, + 809068502, + -1, + 182523045, + -1, + 850926517, + -1, + 986988950, + 57654405, + 253319770, + 40040243, + -1, + 541433904, + 437991583, + -1, + 33996907, + 431793224, + 119224754, + 260331435, + 476414448, + -1, + -1, + 444583974, + -1, + 78073571, + 29874057, + 827300414, + -1, + 865957666, + 306143905, + 691765468, + 367510760, + 667830800, + 587056785, + -1, + 861577339, + 165525741, + 344486332, + -1, + 58982644, + 872883564, + 247133616, + 224935787, + 699804979, + -1, + 686855523, + 167076993, + -1, + 450568651, + 672801718, + 121959071, + -1, + 26194709, + -1, + 546523055, + 106474740, + 886801510, + -1, + 813325781, + -1, + 865356714, + 773618292, + 782254651, + -1, + 487062568, + -1, + -1, + 501664816, + 699165799, + 56074837, + -1, + 452176872, + -1, + 985448756, + 618015885, + -1, + -1, + -1, + 996900094, + 101043072, + -1, + -1, + -1, + 902372875, + 921298925, + 996024437, + 15740390, + 179862420, + -1, + -1, + 581162049, + 583268008, + -1, + -1, + -1, + -1, + -1, + -1, + 432891732, + -1, + 221581480, + -1, + 672488948, + 962740273, + 820708274, + 609376181, + 282682577, + -1, + 566592124, + 242376894, + 805152782, + 555619512, + -1, + -1, + -1, + 835415913, + 865980458, + -1, + 388663142, + 263344393, + -1, + 468861577, + 376662037, + 758432900, + -1, + 77790372, + 260727272, + -1, + -1, + -1, + -1, + 770729407, + 704220577, + 985441022, + 636553796, + 666434773, + 891843735, + 648640930, + -1, + 392542208, + 181319074, + 877668166, + 876173195, + 805431470, + 113377239, + 341682596, + -1, + 478298160, + 404757278, + -1, + 93397784, + 487827775, + 680450707, + 716226514, + 192626763, + -1, + 46017648, + 734692557, + -1, + 972742521, + 337850147, + 11447857, + -1, + 926052953, + -1, + 905643246, + 503074153, + 982525197, + -1, + 242823734, + 931535991, + 70361423, + 396886014, + 165480081, + 46856828, + 867139862, + 589891174, + -1, + 160200769, + 498104124, + 798949204, + 222089935, + 600505510, + -1, + 672848657, + 923092890, + 486732223, + 836358434, + 540863997, + 365564046, + 377849114, + 115350468, + 356635820, + -1, + 435901672, + 225988934, + 438649500, + 585141061, + 691493819, + 2478851, + 942451883, + 64841150, + -1, + 96921171, + 297991240, + -1, + -1, + 382156087, + -1, + -1, + 209258447, + 339396899, + 535469108, + 135065250, + 376998382, + -1, + -1, + -1, + 925068506, + -1, + 984152120, + 12019170, + 351214479, + 234071917, + -1, + -1, + 530503673, + 682801955, + 155461332, + -1, + -1, + 405019718, + 300419858, + 209381031, + 438970424, + -1, + 592925853, + -1, + 666698738, + 560637994, + -1, + -1, + 7151708, + 996164106, + 525801810, + 848663055, + -1, + 973448236, + 121911765, + -1, + -1, + 105915758, + 352428331, + 563788710, + 803273204, + -1, + 207070327, + 39622232, + 91928878, + -1, + 318717073, + 77907445, + 464205119, + 56908672, + 203086024, + 569945115, + 136400093, + 620032257, + -1, + 96868271, + 671825138, + 11622324, + 165519905, + 824933362, + -1, + -1, + -1, + -1, + -1, + 48559350, + 95351384, + -1, + 381914580, + -1, + -1, + 376294957, + 210916398, + 793832378, + 467844793, + -1, + 476473834, + 426101488, + 630387325, + 517715865, + -1, + 61064637, + 781605963, + 750536980, + 334224687, + 529408537, + 159359226, + 859407497, + 788131209, + -1, + 551314374, + 420717236, + 376525930, + 180672891, + 128442042, + 65302310, + 151774940, + 349994966, + -1, + 571709475, + -1, + 184783583, + 872556681, + 657036067, + -1, + 243079185, + 901185805, + -1, + 521351880, + 905374142, + 3561274, + 347673487, + 765250227, + 419110462, + -1, + 747790596, + 927118530, + -1, + -1, + -1, + 815199827, + 503521699, + 467395181, + 245568293, + 102987577, + -1, + 154654941, + -1, + -1, + 325398627, + 615949457, + 969017871, + -1, + 219746968, + 830403131, + -1, + 692917268, + 182823698, + 176325567, + -1, + 56648070, + 755327162, + 802921912, + 586549400, + 544675048, + 24019044, + 989449921, + -1, + 526627444, + 619764778, + 282483748, + 387569471, + 54194230, + 559110905, + -1, + 454862427, + -1, + -1, + 448404869, + 81352635, + -1, + 496516499, + 159748507, + 143543610, + 155453232, + 812193605, + 699957030, + -1, + 361360728, + -1, + 382202656, + 459643074, + -1, + 542866365, + 433742580, + 604332163, + -1, + 956955619, + 461556476, + 858205037, + 94380004, + 531918855, + -1, + -1, + 767146874, + 591830960, + -1, + 334359546, + -1, + 896174986, + -1, + 417836974, + -1, + -1, + -1, + -1, + 475464139, + 132038753, + 433016705, + 662797019, + 138212744, + 557920624, + -1, + 231196246, + 496012705, + 46548222, + 703846213, + 827277812, + 577026968, + 984750157, + 653438495, + 759971932, + 969407936, + 919899327, + -1, + -1, + 666455131, + -1, + 442801900, + 449425129, + 325108937, + 871346742, + 388629171, + 571083544, + 54175567, + 739827366, + 414692459, + -1, + 524965990, + -1, + -1, + 948985085, + 365720111, + 473416258, + 820097423, + -1, + 766437504, + 872327979, + 552932104, + 388798339, + -1, + 45744533, + 964647442, + -1, + -1, + 642716638, + -1, + 84503574, + -1, + 661521530, + -1, + -1, + 359601898, + 401368095, + -1, + 213191468, + 761755282, + 938370140, + 71282118, + 696724307, + 526179534, + -1, + 104832870, + -1, + 951649882, + -1, + 865449633, + -1, + 129563797, + 257759242, + 228781108, + 447843292, + 847150317, + -1, + 266901296, + 815253512, + 837352958, + 845673578, + 161429541, + 951848216, + -1, + 733134317, + 930474390, + 431241160, + -1, + 697472952, + 632403070, + 751718229, + 672605234, + -1, + 137423243, + 415576263, + 803679145, + -1, + 998086182, + 70323147, + -1, + 285396457, + 881113874, + 969942413, + -1, + -1, + 672483512, + 831582341, + 52945243, + 327660716, + 959828557, + 86546816, + 663311401, + -1, + 757416165, + -1, + 882557363, + -1, + -1, + -1, + 470482039, + -1, + 561548735, + 84193270, + 661314221, + 327753813, + -1, + 686861145, + 19525750, + 898794642, + 817171446, + 790746620, + 396892014, + -1, + 239186578, + 580437786, + 53622840, + 59877025, + 701044336, + 883372623, + 996255829, + 330789478, + 360549775, + 706012765, + 253137486, + 154089006, + 35265467, + 536920064, + 54083490, + 749587585, + -1, + 962769393, + -1, + -1, + 995903922, + 119986171, + 701695445, + 644092064, + 79200617, + 597193154, + 168982338, + -1, + 517313461, + 945715972, + 812319170, + -1, + -1, + -1, + 844789638, + 162664751, + 515526630, + 337098166, + -1, + -1, + -1, + 743565920, + 973018140, + 765672861, + -1, + 409344113, + 617087025, + -1, + 309047559, + 164460706, + -1, + -1, + 484795588, + 445373207, + 681234329, + -1, + 284767032, + 702197182, + 848867440, + 209194245, + 215105946, + 670526946, + -1, + 195596942, + 9840245, + 893830549, + 191057850, + 756013066, + 620781738, + 444076227, + 194220894, + -1, + -1, + 498581848, + -1, + -1, + -1, + -1, + 346407198, + 161979838, + 731058199, + 850576525, + 202568115, + -1, + -1, + -1, + 360783766, + 143582545, + -1, + 891092230, + 31827220, + -1, + -1, + 651009998, + 196198379, + 607304585, + 777343425, + 48582667, + 95071868, + 529321741, + -1, + -1, + -1, + 639547755, + 601297991, + 150881166, + 978227606, + 860219225, + -1, + 976907342, + 825015805, + 687013483, + 555488311, + 576542237, + 368328657, + 647656979, + 306870063, + -1, + 776181155, + -1, + 430179512, + 357851288, + 568503562, + 188009177, + 189617381, + -1, + 612089714, + 551759802, + 402932202, + 592788570, + 839017521, + 27830564, + -1, + 682303477, + 144806903, + -1, + -1, + 638199778, + -1, + 563324645, + -1, + 977037398, + 912979139, + 224684934, + 652430924, + 179458374, + 43880575, + 102719411, + 493753056, + 543339546, + -1, + 125451855, + 816960473, + 970600903, + 843583783, + 808812057, + 945515235, + 348393240, + 9048511, + 928294625, + 383893348, + 10917371, + 461058350, + 607008073, + 222040517, + 598750963, + 451890446, + 949186715, + 221836028, + 478773282, + -1, + 494231207, + 771718466, + -1, + -1, + 64376919, + 305278967, + 222088311, + -1, + -1, + 167324692, + 407610990, + -1, + -1, + 253431333, + 960566486, + -1, + 467036327, + -1, + 902776839, + -1, + 470634251, + -1, + 565194734, + 959280117, + -1, + 666365026, + 417180747, + 362320647, + 587575767, + -1, + 437626005, + -1, + 518903010, + 997096520, + 169470567, + -1, + -1, + 588458244, + -1, + 874589641, + 272961537, + 235257126, + 162143718, + 636610888, + -1, + 196210802, + -1, + 957476736, + -1, + 174100522, + 64829112, + 986376210, + -1, + 53889366, + 840017247, + 366514600, + -1, + -1, + 955912177, + 823118006, + 789019888, + 957876433, + 507021767, + 640766758, + 873339647, + 45132990, + 857692008, + 334095516, + 136376358, + 268240009, + -1, + 502245906, + 702833961, + 244129926, + -1, + 361930623, + 774919713, + 147992805, + 61908204, + -1, + -1, + -1, + -1, + 543315354, + 369450268, + -1, + 51675546, + 46255273, + 322298365, + 22495648, + 664822031, + 636620728, + -1, + 216954437, + -1, + -1, + 114746068, + 385987127, + 589360681, + -1, + 850342766, + 47262501, + 240662546, + 488164110, + 549381422, + 7567737, + 103550579, + 906512250, + 911594989, + -1, + 719325536, + 133963280, + -1, + 455456886, + 81449213, + 79015303, + 969518101, + 94539003, + 408100581, + 108742789, + 602618398, + -1, + 569860796, + 376536521, + 427195489, + -1, + 233230415, + 445382098, + 308576182, + 202116173, + 812622565, + 447109612, + 969159630, + -1, + 498803052, + -1, + 615753477, + -1, + 378068050, + 164999695, + 832897629, + -1, + -1, + -1, + 616059953, + 248409638, + 139537349, + 446624154, + 459297181, + 334783858, + -1, + 768684704, + 927460872, + -1, + 471656238, + -1, + 147538137, + 874348419, + 922371259, + -1, + 122058121, + 890517078, + 818988777, + -1, + 628740165, + 771686971, + 203736942, + 707496214, + 461408453, + 51308432, + -1, + 154133311, + 445352962, + 108357150, + -1, + 343750086, + 65879080, + 329186035, + 634520382, + 742867745, + 869261876, + -1, + 513164494, + 444214791, + 925969920, + -1, + 333230396, + 869694743, + -1, + 830579225, + 596973090, + 472174081, + 941039266, + 531965291, + -1, + -1, + -1, + 817157310, + -1, + -1, + 797314135, + -1, + 985294722, + 741235773, + 514808974, + -1, + 399362809, + -1, + 444825116, + -1, + 519710310, + 10439026, + 982573108, + 547225029, + 388649911, + 35628356, + 737169935, + 392537239, + -1, + 158053872, + 475209149, + 550580755, + 326344920, + 950779969, + -1, + 797224685, + 999758936, + -1, + 287571079, + -1, + 698084512, + 803304145, + 415337696, + 264469689, + 721171143, + -1, + -1, + 927493593, + -1, + 467160038, + 806786427, + 186596139, + -1, + 177924879, + 638501146, + 641363715, + -1, + 879824404, + 362060103, + 245641883, + 996056442, + 989565553, + 887872923, + -1, + 262844604, + 383237961, + 973411927, + 364127366, + 494180335, + 895493686, + 258271414, + 358900104, + -1, + 19751637, + -1, + 548771349, + 656641465, + -1, + 292723101, + 85318292, + 915465015, + 920200919, + 625402328, + -1, + -1, + -1, + -1, + 357491074, + 918769567, + 390397470, + 21488541, + 508031876, + -1, + 861136394, + 693855894, + 122220136, + 248747935, + 196238826, + -1, + 500300840, + 904641240, + -1, + -1, + -1, + 650439348, + 614154918, + -1, + -1, + -1, + 480005460, + -1, + -1, + 123432696, + 222783988, + 343286857, + 119310212, + -1, + 764323941, + -1, + 75972640, + 616829110, + 512663764, + -1, + -1, + 76614951, + -1, + -1, + -1, + 217203101, + 199995533, + 318051385, + 150415983, + -1, + 672599303, + -1, + 771938192, + 86635725, + -1, + -1, + -1, + -1, + 178176403, + -1, + 406264360, + 903341873, + 588178528, + 221020758, + 26677694, + -1, + 475460272, + 904391717, + 202325530, + 758422366, + 93062718, + 743572251, + -1, + 454851120, + 198935876, + 284331182, + -1, + 65053509, + 393531233, + 812372835, + 120135830, + 349444747, + -1, + 527088261, + 145104785, + 841854222, + 949650624, + 755284453, + 155566957, + -1, + -1, + 633496359, + -1, + -1, + 34288799, + -1, + -1, + -1, + 767535845, + -1, + 597004768, + 946533204, + -1, + 840594101, + -1, + -1, + 810202630, + 234780637, + 591678813, + 362680582, + 835667403, + 901451968, + 796091241, + 507197028, + 375237837, + -1, + 933877014, + -1, + 478107958, + 323782547, + 948347325, + 425234919, + 759404007, + -1, + 21391318, + 170404803, + -1, + 988113119, + 434812074, + 272245668, + 509679727, + 472422821, + 620792326, + 894408210, + -1, + 380674443, + 430208051, + -1, + 837566720, + 228437094, + 836854461, + 78568608, + 256657781, + 702582855, + 212305792, + 858827429, + 910776108, + -1, + 185803793, + 709838429, + 383808265, + 565121545, + -1, + 232515088, + 785228380, + 182744116, + 249112092, + -1, + 713378289, + 487402986, + 640230516, + 927874398, + 581764665, + 449414948, + 871801911, + 124287543, + 862139167, + 450306983, + -1, + 456309089, + 48501081, + -1, + -1, + -1, + 907304928, + 822436093, + -1, + -1, + 159591444, + -1, + -1, + 259048708, + 671856733, + 281827808, + 692921794, + 954256934, + 536664874, + -1, + -1, + 873380091, + 627470032, + -1, + 537737182, + -1, + -1, + 849518376, + -1, + -1, + 74059911, + 816385405, + -1, + 480557020, + 661981498, + 359692019, + 691013801, + 586785322, + 4631097, + 377057998, + -1, + 546190184, + -1, + -1, + 477905446, + 868753855, + 186606160, + 510062792, + 460502799, + -1, + -1, + -1, + 502086220, + 677056060, + 697371242, + -1, + 236029644, + -1, + 319612227, + -1, + -1, + 236895338, + 505643535, + -1, + 672419074, + -1, + 748238521, + -1, + 928994626, + -1, + -1, + -1, + 921289196, + 897570760, + -1, + 954957446, + 442356844, + -1, + 554284787, + -1, + 830156488, + 158696149, + 139457381, + 912763348, + -1, + 447409865, + -1, + -1, + 246310930, + -1, + 6913963, + -1, + -1, + -1, + -1, + 953742452, + 719135354, + 609176836, + 685909196, + 601031479, + 340752710, + 312901117, + 533028749, + -1, + 618038871, + -1, + -1, + 126101932, + 711378958, + 80006372, + 681174153, + 776178754, + 898885793, + 841804175, + 814470812, + 459670646, + 681864968, + -1, + -1, + 39287047, + -1, + 640656877, + 299521096, + -1, + 237657933, + -1, + 680017321, + 152522470, + 701142222, + -1, + -1, + 450087879, + 619035170, + 3370506, + -1, + 243745771, + 977031444, + 860103720, + 135688962, + 684097441, + 247281968, + 667038098, + -1, + -1, + -1, + 82295826, + 444446499, + 410458460, + -1, + 514610538, + -1, + -1, + 683959031, + -1, + -1, + 690096923, + 257426384, + 663675943, + -1, + 721018390, + -1, + 462961377, + -1, + 493164295, + 123094345, + 580662674, + 867424857, + 172154883, + -1, + -1, + -1, + -1, + 440631435, + 521859283, + 787571711, + -1, + -1, + 906507379, + 781122187, + -1, + -1, + 43194926, + 748863714, + 669182206, + 219715614, + 716239393, + 920369997, + 763208874, + 764607105, + 752651461, + -1, + -1, + 551680039, + 90641264, + 474812800, + 395654270, + 477745612, + 41167959, + 459506499, + 824471680, + -1, + 807424153, + 133856275, + 293900013, + 503083593, + -1, + 437690520, + 370442796, + 414719823, + 572271311, + 941261010, + 375854087, + 220820913, + 566639346, + 550174858, + -1, + 741291371, + 851309767, + 274918668, + 616483768, + 683052096, + 979076544, + 366719925, + 371767529, + -1, + 757665215, + 699756745, + 302394939, + -1, + -1, + -1, + 495202671, + -1, + 902772423, + -1, + -1, + 28955328, + 261185076, + 226555534, + 783138062, + -1, + 743137367, + -1, + 490479505, + -1, + 521604624, + 52502469, + 800520843, + -1, + 397684002, + 536458112, + 364838133, + 745750215, + 448786904, + 644230626, + 699089838, + -1, + -1, + 853983729, + 362152465, + 849598247, + 984104515, + -1, + 234389933, + 815313822, + 51868276, + 106640442, + -1, + 123720284, + 638502959, + -1, + 84049077, + -1, + 254141284, + 221697300, + 450707300, + -1, + -1, + 702905560, + 224473395, + 21706379, + -1, + 813040413, + -1, + -1, + -1, + -1, + 180828035, + 10877863, + -1, + -1, + 507307074, + -1, + -1, + 229762937, + 926408353, + 291886836, + 637943866, + 364693458, + 683666973, + 802978192, + -1, + 215771132, + 554873911, + 393345258, + 818411838, + 455712727, + 303708044, + -1, + 814014363, + 946766987, + 890330970, + 532008848, + -1, + 787705976, + 677705127, + 364603402, + -1, + 505197678, + 879966596, + 111010626, + 325332416, + 42931652, + -1, + -1, + 147985807, + 762867540, + 81071248, + 775916864, + 954226424, + 841684547, + 671732737, + 32572273, + 614005534, + -1, + 932694577, + 351416441, + 504723918, + 711053666, + 9505772, + -1, + 852932108, + 981426051, + 119482342, + 735181075, + 849630818, + -1, + 545515063, + 689569491, + 136944029, + 911312753, + -1, + -1, + -1, + 82407852, + 951231372, + 721052716, + -1, + 211858407, + 375912989, + 297629651, + 213879190, + 417193588, + 515881464, + 415322666, + -1, + -1, + 937675788, + 587309593, + -1, + 470602394, + 577002507, + 837058422, + -1, + 360408783, + 947907427, + 64137628, + 793499738, + 784406000, + 26711347, + 523499918, + 948908433, + 735524118, + 102196185, + 300724980, + 923561051, + 374699436, + -1, + 465559786, + 627236113, + 596901752, + 659134854, + -1, + 282061598, + 664060270, + -1, + 592640494, + 319872096, + 118043482, + 919280402, + 892417329, + 795556002, + -1, + 367905483, + -1, + -1, + -1, + 233638014, + 437901044, + 508827736, + 222821209, + -1, + 844881296, + 177801952, + 908397322, + 123407621, + 983198395, + -1, + 54458915, + 420781955, + 171008426, + 853275566, + 835904388, + 403381163, + -1, + 60398039, + 216258156, + -1, + 885977374, + -1, + 794003861, + -1, + 112775996, + 905944357, + -1, + -1, + 391144209, + -1, + -1, + 675946538, + 933396367, + 99937159, + -1, + 458413369, + 224386059, + -1, + -1, + 239076909, + 877744978, + -1, + -1, + -1, + 606250845, + 555419362, + 783193481, + 757321614, + 861647970, + -1, + -1, + 972933419, + -1, + 986467602, + 634676826, + 159115857, + 975618425, + -1, + -1, + 861765419, + 924809563, + 378796777, + 921317406, + -1, + 137930338, + 695218127, + 838078236, + -1, + 767063969, + 45122352, + -1, + 193705436, + 138435837, + -1, + 657769360, + 989242316, + 822044465, + 116042531, + 757247364, + 735316830, + 195574870, + -1, + 734537782, + -1, + 940296586, + 888245639, + 770898333, + -1, + -1, + -1, + 875170504, + 744323966, + -1, + 696099883, + 971049947, + 112810622, + 603469064, + 884504128, + 136195223, + -1, + 567630617, + 278310397, + 393506878, + 785995455, + -1, + -1, + 597131978, + 939246096, + -1, + 761945254, + 396226989, + -1, + 634974746, + -1, + 56908476, + -1, + 915456468, + -1, + 829959413, + 116952234, + -1, + 81913992, + -1, + 734790216, + -1, + -1, + -1, + -1, + -1, + -1, + 180997425, + 306750175, + 445168815, + 663803800, + 500206658, + 577209033, + 957034986, + -1, + -1, + -1, + 834279429, + 229704607, + -1, + 61820659, + -1, + -1, + 315458428, + -1, + -1, + 866413694, + -1, + 957557074, + -1, + -1, + 70186775, + 662154145, + 714896914, + 160181785, + 460290545, + 574859800, + -1, + 873750309, + 867036498, + 938061983, + 908195886, + -1, + 879387456, + 62210124, + 45601244, + -1, + 527463334, + -1, + 872861025, + -1, + -1, + 188250462, + 208429445, + 860945165, + 424316538, + -1, + -1, + 922462264, + 997012550, + 826001672, + 460703000, + 491632258, + -1, + 99060919, + -1, + 932003824, + -1, + 600874949, + 48711699, + -1, + 198081832, + 308733475, + 996228338, + 268299237, + -1, + -1, + -1, + 754179769, + 956080139, + 721120267, + 485718183, + 709500509, + 241154704, + 726535138, + 784902772, + -1, + 795297423, + -1, + -1, + -1, + 916983600, + -1, + 836449336, + 78239599, + 924930639, + 656347621, + 146362961, + -1, + 789045225, + 800899323, + -1, + 637735794, + -1, + 187548447, + 447824645, + 56252695, + 873057998, + 805245423, + 426663020, + 28150987, + 974884949, + 725746620, + 236414951, + 867120521, + -1, + -1, + -1, + 312921985, + -1, + 312014150, + 602362249, + 53143543, + 678221793, + -1, + -1, + 760794121, + -1, + 796037626, + -1, + -1, + -1, + 181021221, + 865857030, + 993625467, + -1, + -1, + -1, + 157487304, + 613458232, + 235084360, + 566065568, + -1, + 771479647, + -1, + 824001743, + 307767402, + 139049076, + 443949141, + 476833295, + -1, + 926731478, + -1, + 105967081, + 884443402, + -1, + -1, + 690433812, + 195671750, + 116942222, + 247933487, + -1, + -1, + 907236810, + 228249498, + 723471323, + 787464952, + -1, + 6896509, + 199096940, + 766983873, + 219862783, + -1, + 709243174, + -1, + 902134627, + 258578530, + 894386069, + 452587440, + -1, + 316713961, + 614098156, + 241036128, + 922117229, + -1, + 697763343, + -1, + -1, + 463390645, + 449364727, + -1, + 770730762, + 841993413, + 524572382, + -1, + -1, + -1, + 494709427, + 267132563, + 146587669, + 167558225, + 899648143, + 282303186, + 380039341, + 934074444, + -1, + -1, + -1, + -1, + 190469745, + 31106051, + 959981150, + 593667204, + 811418528, + 78692230, + -1, + 287660631, + -1, + 328333773, + 847888495, + -1, + 66462445, + 68978599, + -1, + -1, + 983191787, + 285329254, + 466564469, + 248677141, + 582241979, + -1, + 371196803, + 782451883, + 978474201, + 487499566, + -1, + -1, + 284369245, + 592857132, + 872416123, + 434238109, + -1, + 93864606, + -1, + 999398466, + -1, + 948713168, + -1, + 303907337, + 763261861, + -1, + 141526167, + -1, + 267936313, + 678164227, + 705243500, + 423628519, + 569862804, + 139892837, + 912930985, + 460220226, + 10562213, + 772647275, + 444431981, + 428833246, + 213129715, + 96368451, + -1, + 84202488, + -1, + -1, + 792661952, + 769437554, + 797684619, + 810000003, + 176679647, + -1, + 857192265, + 187968210, + 478038787, + 443449462, + 49400565, + 504417691, + -1, + 861628140, + -1, + 417216117, + 130003970, + 353229776, + 20549193, + 590495208, + -1, + 531928198, + 529898948, + 207192743, + 159609239, + 762083322, + -1, + -1, + 978552824, + 901991545, + 413451456, + 451478403, + 15604235, + 891059052, + 704495749, + 637285988, + 912762873, + 245750355, + 117972636, + 266175773, + 297967237, + 365011567, + -1, + -1, + 702554880, + -1, + -1, + 604708781, + 964994189, + 399336111, + 267318605, + 899007582, + 208768183, + 282337680, + 323093946, + 200451778, + 554508150, + 551072056, + 283092388, + -1, + 866963052, + 393478093, + -1, + 289203932, + -1, + -1, + 999090069, + 252516900, + 320903774, + 466645118, + -1, + 639552246, + 366447859, + -1, + -1, + -1, + -1, + 672029758, + 600745215, + 515465853, + -1, + 891192236, + -1, + -1, + 61338499, + 21963706, + 460905464, + 160612256, + 425677577, + 621855227, + -1, + 416228613, + -1, + 64188824, + -1, + -1, + 974602525, + 897851190, + 459089884, + -1, + -1, + -1, + 376201243, + 907778610, + 794208666, + 562398067, + -1, + 531180744, + -1, + 840764014, + 676703028, + 949631097, + -1, + 56927851, + -1, + 292652309, + -1, + 465473001, + 337884195, + -1, + 946092207, + 958045093, + 639491175, + -1, + -1, + -1, + -1, + -1, + 413961355, + 229002840, + -1, + 862903115, + 983444115, + 295781186, + 921035306, + -1, + 884434183, + 139248841, + -1, + -1, + 720671524, + -1, + -1, + 964554629, + -1, + 99079649, + 346134775, + 922705678, + -1, + 890209514, + -1, + 185992145, + 380389405, + 561783110, + 313822840, + -1, + 335371842, + 302546223, + 200658777, + 193664300, + 114385198, + 826079071, + -1, + 707556188, + 792629655, + -1, + 946613882, + -1, + 673691680, + 824120237, + 188963669, + 284535919, + 79359792, + 465189573, + 583389707, + 589393097, + 742849340, + 667183885, + 530157209, + -1, + -1, + 599820216, + -1, + 493980651, + 78073842, + -1, + -1, + 110080564, + -1, + -1, + 478567054, + -1, + 594593106, + 325200019, + -1, + 514774962, + 542619519, + -1, + -1, + 82585097, + -1, + 777501901, + 922083057, + 699991373, + 890204403, + -1, + 164686160, + -1, + -1, + 11452686, + -1, + -1, + -1, + 494381240, + 600378391, + -1, + -1, + -1, + 730842656, + -1, + 369189909, + -1, + 35443819, + 180737009, + 888970346, + 429674922, + 860636974, + -1, + 116848172, + 302066805, + 801269012, + 741597876, + 447352193, + 342717675, + 623926212, + 305541132, + 509135089, + 681503108, + -1, + 777789398, + -1, + -1, + -1, + 685671694, + 303655794, + 339111528, + 773933814, + -1, + 249641272, + 573054414, + -1, + 722114210, + 411166255, + 223202751, + 186855326, + 847306005, + 760435309, + 182980107, + 857758091, + 410431955, + -1, + -1, + 358280601, + -1, + -1, + 19761400, + 120239886, + 288480041, + 131208374, + -1, + -1, + 522182318, + 699700454, + 280922400, + -1, + 278675455, + 671250174, + 584996891, + 452643605, + 44737477, + -1, + 993405735, + 524678952, + 858152982, + 63941833, + -1, + -1, + 495750416, + -1, + -1, + 904998957, + 796303534, + 839567496, + -1, + -1, + 995459423, + 901853526, + 621442114, + -1, + 476712684, + 675660025, + 154237535, + 778071525, + 452486575, + 544451617, + -1, + 720994644, + -1, + 22577448, + -1, + 910276540, + 598390424, + -1, + 976730568, + 853697309, + 302591102, + -1, + 29640952, + 981772780, + -1, + 2919531, + -1, + 34357730, + 257061616, + -1, + 341343845, + 992905922, + 850341425, + 322512940, + 22048545, + -1, + 239637773, + -1, + -1, + -1, + 918037204, + 868982052, + -1, + -1, + 881736265, + -1, + -1, + -1, + 691089907, + -1, + -1, + 783543215, + 884496343, + 666788540, + 343454757, + 40595026, + 445719071, + 662280743, + 981580302, + 137294269, + 613161207, + -1, + -1, + 727996445, + -1, + 994106166, + 29789620, + -1, + 195317221, + 526479987, + -1, + 357405867, + 443993785, + 691337164, + 306137768, + 983082033, + 979298426, + 78652270, + -1, + 947547558, + 506879050, + 865774259, + -1, + 509280949, + 939148465, + 928593538, + -1, + 534019557, + -1, + 535453822, + -1, + -1, + 286765648, + 526034499, + 407367934, + 914395263, + 144548912, + 116101974, + -1, + 506439443, + -1, + -1, + 517081694, + 380293553, + -1, + 560034973, + 786377783, + 167154754, + 626488978, + 927490319, + 820039481, + 596011679, + 564868628, + 116989750, + 133010371, + 317544236, + 806462346, + 157713314, + -1, + 932098619, + 54398915, + -1, + 253909086, + 323452501, + 180606536, + 481705913, + 974051923, + -1, + 701795971, + 228113194, + -1, + 933998117, + 153108104, + 191097922, + 627909791, + 568753120, + 664156435, + 372938292, + -1, + -1, + 428908062, + -1, + -1, + -1, + 298669183, + 726878337, + -1, + 555272778, + -1, + 490268978, + 804320289, + 738821097, + 231352143, + -1, + 15048693, + -1, + 24622157, + 904141632, + -1, + 123259860, + -1, + 336581340, + -1, + 785830688, + 749451002, + 552618505, + -1, + -1, + 391412249, + -1, + -1, + 73950130, + 971306469, + -1, + 871411912, + 347551603, + -1, + 706046422, + 711099461, + 326220282, + -1, + 347603418, + 19106216, + 890472074, + 769846970, + 921713318, + 875463738, + 83288186, + -1, + 57643434, + 909715089, + 819368621, + 691806806, + -1, + 377439016, + 954977747, + 574105098, + 708398026, + -1, + 824391253, + 893042748, + 846573997, + 149092291, + 93856434, + 824466476, + -1, + 625231281, + 111118710, + -1, + 117258885, + 131019246, + 917549223, + 439260792, + 935146209, + 208500546, + 30801638, + 636814807, + -1, + -1, + -1, + -1, + 824496725, + 368698669, + -1, + 214663024, + 968939112, + 535172475, + -1, + 745904948, + 38198457, + 42887892, + -1, + -1, + 330825597, + 214711139, + -1, + 372508333, + 522472045, + -1, + 253364336, + 934564222, + -1, + 602268406, + 11687008, + -1, + -1, + -1, + 460645264, + 300221918, + 806831550, + 629014043, + 173288812, + 911260264, + 489114361, + -1, + 162331209, + 382297371, + -1, + 459661486, + 695465533, + 83166746, + 716816849, + 274268282, + 124409336, + 36367248, + 474201044, + 630098215, + 564782436, + 377202804, + -1, + -1, + 361400339, + -1, + 259331815, + -1, + 571829141, + -1, + 76070796, + 241924927, + 750683427, + -1, + 185312897, + -1, + -1, + 660082418, + -1, + 159399620, + -1, + 279078804, + 52623925, + -1, + 807683338, + 324156625, + 55789457, + -1, + 346995277, + 271123473, + -1, + -1, + 758636956, + 265539607, + 498565496, + 830814189, + 672223907, + -1, + 358485210, + -1, + 793140083, + 426315744, + 190933517, + 122604357, + 962950401, + 979990801, + 389775538, + 842418715, + 201829855, + 443139206, + 708868850, + -1, + 807708482, + 471080429, + -1, + 710676045, + -1, + -1, + 135001602, + 461786318, + 475458604, + 474210679, + -1, + 745082235, + 969913576, + 974023401, + -1, + -1, + 46845712, + 788214082, + -1, + 196874916, + 198495302, + 159025839, + 695284886, + 242391761, + 698954886, + -1, + 857434254, + 352295623, + 420576214, + -1, + 444312867, + 941646757, + 684407745, + -1, + -1, + 332863194, + -1, + 986735828, + 569329110, + 571209011, + 191310277, + -1, + 982886382, + -1, + 635241932, + 175209704, + 72317537, + 286311440, + -1, + 147939123, + 688255764, + 770916850, + 27007205, + 775951056, + 418819937, + 401448857, + -1, + 805944511, + 84454314, + 696769567, + 239930685, + -1, + 369404912, + 316071555, + 508824425, + -1, + -1, + -1, + 966726536, + 102760424, + 829652192, + 228610259, + 688253359, + -1, + 19350624, + 336621891, + 574493132, + 621965026, + 827828894, + 85296750, + 980300644, + 245008942, + -1, + 326265193, + -1, + 94087498, + 522982742, + 548819748, + 345995951, + 445568659, + 485133709, + 212968932, + -1, + -1, + 926087122, + 89787536, + 175652839, + 992536132, + -1, + -1, + 246998787, + 952561669, + 251754725, + 608818074, + 375451917, + 132052601, + -1, + 738016708, + -1, + 604706914, + -1, + 24396535, + 162468879, + -1, + 171753401, + 899968197, + 902921789, + 705109479, + -1, + 403712269, + 558575238, + 909837871, + 623906598, + 835440178, + 290435676, + 547114687, + 705226543, + 257094157, + -1, + 146244374, + 114548880, + 64709803, + -1, + -1, + 366883145, + 359425246, + -1, + 789086528, + 160744601, + -1, + 392081298, + 380093641, + 971397358, + 144281099, + -1, + -1, + 386331117, + 238651748, + 852110523, + 635262162, + -1, + 151212746, + 882515642, + 82866473, + -1, + 233412300, + 832978197, + 314847811, + 791617190, + 70236170, + 888059385, + 630284467, + 522949551, + 71135312, + 354865010, + -1, + -1, + 856386772, + -1, + -1, + -1, + 971268795, + -1, + 959857823, + 222179487, + 860952800, + -1, + 136513196, + 788366356, + 210244754, + 137057403, + 906715525, + -1, + 770031273, + -1, + 450671554, + -1, + 346158234, + 750220232, + -1, + 884942527, + 644408321, + -1, + 585506743, + -1, + 638356238, + -1, + 806728811, + 778268131, + 680448677, + 320644908, + -1, + 719301230, + 489380538, + -1, + 383358210, + -1, + 257965178, + 130590086, + 323807994, + 515413263, + 197452634, + -1, + 225051861, + 720292732, + -1, + -1, + 189319222, + 656944385, + -1, + 162521056, + 871577236, + 338438511, + 643178125, + 649785975, + -1, + 599648674, + -1, + -1, + 817390489, + 559148014, + 655594567, + 68064007, + -1, + 232899318, + -1, + 30822348, + 113543893, + -1, + 668769841, + -1, + 712850577, + 900742273, + 777751106, + -1, + 837565039, + -1, + -1, + 367258698, + -1, + 346141738, + -1, + 249942100, + 447267508, + 715677680, + 884610324, + 421330227, + 766546831, + -1, + -1, + -1, + -1, + 85272021, + 319906854, + -1, + 254508375, + -1, + -1, + 420172176, + 856510593, + -1, + -1, + -1, + 222552777, + 261550911, + 711548294, + 308600968, + 96635757, + 470263508, + 1005684, + 567393222, + 536835317, + 209435887, + 560817763, + 56648083, + 636428084, + 391806584, + -1, + 881161922, + 892605212, + -1, + 569629585, + -1, + 570945500, + 963862398, + 716988989, + 711745297, + 919835076, + -1, + 770799499, + -1, + 472135250, + -1, + -1, + 338840612, + 831790846, + 460634050, + -1, + 308990550, + -1, + 458778659, + 307141912, + 735167104, + 868074451, + 438984836, + 662992223, + 314460559, + -1, + -1, + -1, + 878331236, + 630512235, + 876387598, + 180400596, + 222629446, + 507338607, + 188912411, + 44234611, + -1, + -1, + 828910033, + -1, + 950394094, + -1, + 549689358, + 615602210, + 528131884, + 359832655, + 686047351, + 752497307, + -1, + -1, + 345535336, + -1, + -1, + 40232229, + 269249445, + 256420642, + 778924587, + 83451116, + 490811790, + 251661976, + 884745473, + 167399035, + -1, + 438506200, + -1, + 468790971, + -1, + 740525823, + -1, + 798656286, + -1, + 689969276, + -1, + 937804247, + 849734479, + 876987862, + -1, + 108881175, + 121098224, + 413476860, + 367298528, + 260839286, + 966468054, + 599641794, + 214200101, + -1, + 725725804, + -1, + 399147739, + 500894033, + -1, + 26185798, + 350546332, + 335675992, + -1, + -1, + -1, + 998304614, + 272280420, + 10477713, + 888887215, + 707834777, + 81334303, + -1, + -1, + 611925793, + -1, + 752129982, + 715782920, + 577008905, + 834379664, + 780083216, + 580249962, + -1, + 854598219, + 324125431, + -1, + -1, + 803768690, + 553854784, + 816450492, + 692225052, + 636745840, + 588305959, + 312690159, + -1, + 149099968, + 605343125, + -1, + 493239938, + 135823972, + 835240531, + 929190729, + 934984108, + -1, + -1, + 398396826, + 613047714, + 213596671, + 419589892, + 411954781, + -1, + -1, + -1, + 876089733, + 285464960, + 961058134, + 239813000, + 23391968, + 598495659, + 535135464, + 599871019, + 775159480, + 55497267, + -1, + 87906009, + -1, + 471974927, + -1, + -1, + -1, + 474557679, + 157850962, + -1, + 633636363, + 283149974, + 33725420, + 602708454, + 596434670, + 971697267, + 307232876, + 369435913, + 564013118, + 195431706, + 727428865, + 359002288, + 824462276, + 375542787, + -1, + 910421513, + 310329478, + 931985100, + 378101630, + -1, + 427804320, + 57463808, + 64585721, + 485957520, + 126897235, + 807866784, + -1, + -1, + 619897920, + 250527002, + 422321204, + -1, + -1, + 208068734, + -1, + 291137260, + 232266511, + 337949822, + 979183415, + 970132555, + -1, + 769396235, + 824206301, + 196540645, + 855508465, + 674217233, + 875222424, + -1, + 296639652, + 929224176, + -1, + -1, + 944593089, + 802627847, + 877442503, + -1, + -1, + -1, + -1, + 781596665, + -1, + 662266591, + -1, + 90348733, + 955197346, + 227907404, + 211026459, + -1, + 789157110, + 348079614, + 308049404, + 119618302, + 468767795, + -1, + 589230199, + 956245214, + 198519222, + 125917012, + -1, + -1, + 430735646, + -1, + 394929293, + 640046729, + 24813348, + 837411948, + 416136910, + -1, + 221186770, + -1, + -1, + -1, + -1, + -1, + -1, + 464800076, + 739240356, + -1, + -1, + 633209742, + 851500672, + 655609727, + -1, + 157826259, + -1, + 368296162, + 192591941, + 306097427, + 852867876, + -1, + 519068182, + 418923588, + 44598124, + 223608669, + 674186383, + -1, + 847041676, + 517828478, + -1, + 692990225, + 291037543, + -1, + 102507759, + 213210755, + -1, + 845372345, + 303546916, + 893779867, + 381683354, + 314376492, + 583402369, + -1, + 341630503, + 791666777, + 436378660, + 789826054, + -1, + 157907772, + 38087260, + 43099437, + -1, + 912616238, + -1, + 598073167, + 874387664, + -1, + -1, + 798249238, + 157144331, + 524501946, + -1, + -1, + -1, + 703089966, + 905385090, + 714431410, + 749384362, + 170069582, + 89723322, + 520841425, + -1, + -1, + -1, + 599162652, + -1, + -1, + 463606008, + 681656017, + 510699565, + 622289268, + -1, + 428221249, + 366652191, + 35172587, + -1, + -1, + -1, + 391763686, + -1, + 514927866, + 782439501, + 216389703, + 750193297, + 22853622, + -1, + -1, + 324239654, + 703199829, + 55682388, + -1, + 204281160, + 148457178, + 690528108, + -1, + 949511924, + -1, + -1, + 747601853, + -1, + 395560420, + 846785310, + 572503388, + 609712470, + 907920327, + -1, + -1, + -1, + 933827651, + 53300768, + -1, + 421339777, + -1, + 871937569, + 864805490, + 694162587, + -1, + 748865930, + 180804580, + 488368884, + -1, + 395659299, + 387104424, + 638283421, + -1, + -1, + -1, + 646638784, + 603541451, + 213703173, + 306414085, + 359226105, + -1, + 933553621, + -1, + 343812609, + 870569004, + 959801104, + 498212105, + 153385941, + 826094156, + -1, + 301295014, + 54788651, + 64960844, + -1, + 647352113, + 238833260, + 14822165, + -1, + 41544747, + 113517829, + 564729097, + 963798445, + 547399707, + 220359125, + -1, + 356336419, + 995597670, + -1, + 385017284, + 190884130, + -1, + -1, + 555707468, + 911336302, + -1, + 677438716, + 300678771, + 584271764, + 513541940, + -1, + 529136369, + -1, + 978922937, + 835035403, + 539951068, + 790554721, + 916085655, + 302699318, + 457441094, + 931980571, + 287841433, + -1, + -1, + 735221438, + 962488412, + -1, + 487207863, + 211904568, + -1, + 75830145, + 136193009, + 572649407, + 9507128, + 547058672, + 674190854, + -1, + -1, + 553750974, + 978082887, + 281266299, + 120489043, + 291124431, + -1, + -1, + 102410990, + 722705924, + -1, + -1, + 781418985, + 710353619, + 912918799, + -1, + 363395695, + 852876839, + 573901507, + 781251996, + 74865412, + -1, + -1, + -1, + 852506119, + -1, + 704495539, + 748781017, + 267365119, + 476934182, + 491640349, + -1, + 794764159, + 378898080, + 996495185, + 528009230, + 556138717, + 46373852, + 623075795, + 821519888, + 852573097, + -1, + -1, + -1, + 869104890, + 577750553, + -1, + 528462488, + 195465786, + 176877675, + 240879834, + 764743190, + 42311838, + -1, + -1, + 822779354, + -1, + -1, + 571707734, + 741448689, + -1, + 975062156, + -1, + 811973094, + -1, + 715349301, + 553350052, + 289454879, + 950015844, + 322448358, + -1, + -1, + 381148970, + -1, + 144281591, + 19414090, + -1, + -1, + -1, + 639363122, + 787329124, + -1, + 619010066, + 160818432, + 476636245, + 980039503, + -1, + 943115747, + -1, + 378368299, + 551088643, + -1, + -1, + 624374513, + 885889223, + -1, + -1, + 580356713, + 251303298, + 839877849, + 124405771, + -1, + 53591909, + -1, + -1, + -1, + -1, + 888270720, + -1, + -1, + -1, + -1, + 612996830, + 727134947, + -1, + -1, + 361213554, + 31370272, + 101926897, + -1, + -1, + 697147867, + 313979210, + 664370193, + 848079409, + 890967147, + 58590991, + 296431594, + 922305345, + -1, + 817366723, + 186380200, + -1, + 659895694, + -1, + 428473967, + 851670831, + 509939359, + -1, + -1, + 104355630, + 47818695, + 571950139, + 600015772, + 506195904, + 454065514, + 955896897, + 762964721, + 655782707, + 61254411, + 256117991, + 106821196, + 904005838, + 335867393, + 820963290, + 520182604, + 814935627, + -1, + -1, + 173540266, + 996241157, + 227406544, + 709192935, + 301673550, + 294662916, + -1, + -1, + 682565830, + 604708144, + 987564238, + 262265414, + -1, + 519447221, + -1, + 763230747, + -1, + 845221895, + 267157472, + 67846696, + 523638675, + 463035867, + 204603013, + 963398219, + 619818569, + -1, + -1, + 806451888, + 442846204, + 953803844, + -1, + 717769160, + 513491916, + -1, + 575613756, + -1, + 866480327, + 63760001, + 943004888, + -1, + 356760774, + 707829947, + -1, + 606489330, + 83960316, + 213617357, + 75736448, + 609073996, + -1, + 891356553, + 503514706, + 805596493, + 545725696, + 212247853, + -1, + 193505796, + -1, + -1, + 137349315, + -1, + 715960944, + 689707579, + 247846656, + -1, + 850316385, + 355295920, + 170751488, + 106100776, + 673020967, + 839038935, + 230718569, + 307375045, + 295415718, + -1, + 271740230, + -1, + -1, + 522261802, + 152305194, + 380249075, + 976520314, + -1, + -1, + 687689559, + 643199413, + -1, + -1, + 407552032, + 196622558, + 955824339, + 538131054, + 163978189, + -1, + 603413845, + 745141784, + -1, + -1, + -1, + 514299337, + 723190857, + 858556362, + -1, + -1, + 851293304, + 664631900, + 977554224, + 54420955, + -1, + 540502062, + 350389932, + -1, + -1, + 922759932, + 371310844, + 631770257, + 979508695, + 309018547, + 410148142, + 431098300, + -1, + 202640218, + 766872118, + 137554401, + 945592438, + 591064929, + -1, + 311563649, + 27033205, + -1, + 964555453, + -1, + -1, + 489712140, + 306013584, + 682644801, + 522348370, + 819041032, + -1, + 301634687, + 702683034, + 78722688, + 719953181, + 91728680, + 263831413, + 398135944, + -1, + -1, + -1, + -1, + -1, + -1, + 633834797, + 685537131, + 305837619, + 126215027, + 526262741, + 802573069, + 947089746, + 830875854, + -1, + 744784683, + -1, + 415146025, + 30794472, + -1, + -1, + 741975745, + 579425715, + 125161258, + 338641502, + 341035317, + 865238853, + 698897845, + -1, + -1, + 784857329, + 352017386, + 4504321, + 986869509, + 44293949, + 97216064, + 416141545, + 176410948, + -1, + -1, + 299614326, + 878098738, + 124815383, + 829447863, + -1, + 129844596, + 977396541, + 269555217, + 974584980, + 548008235, + 272379191, + 426289306, + 286667033, + 251800923, + -1, + 321415015, + 642652237, + 245873265, + 65583820, + 765824528, + 619495635, + 270277509, + 480625760, + -1, + 487716964, + 41201183, + -1, + 18609867, + 783302699, + 818681119, + 183157613, + 272095786, + -1, + -1, + -1, + -1, + -1, + 268291770, + -1, + 671471045, + -1, + 914619859, + 667310103, + -1, + 239861057, + 132927230, + -1, + -1, + 166751814, + 816945421, + 155045037, + 699418073, + -1, + -1, + 500895945, + -1, + 463521950, + 650592985, + 876634341, + -1, + 233063513, + -1, + 692397151, + 172587185, + 922330235, + 676438665, + 818745916, + -1, + -1, + 807148626, + 561292375, + -1, + -1, + 785838176, + -1, + 677599181, + 827362163, + 812609789, + 734204328, + 443764895, + 96227846, + 384441960, + 39254217, + -1, + -1, + 297491892, + 369996313, + 344320213, + -1, + -1, + 381692899, + -1, + 733578753, + 147678725, + 890519518, + 908688201, + -1, + 972606460, + 354698855, + 243442960, + 650612668, + 798819842, + -1, + -1, + -1, + 925026878, + 906449766, + 485062884, + -1, + -1, + -1, + 914192813, + -1, + 486591926, + 454156391, + 616070555, + 328289538, + 204597893, + -1, + 676495495, + -1, + 340935702, + 704083959, + -1, + -1, + -1, + 508997696, + -1, + 197572137, + 963755826, + 270741253, + 759629482, + -1, + 651841676, + 212786512, + -1, + 270157212, + -1, + -1, + 441000735, + 762508032, + -1, + -1, + 811695073, + 107765161, + -1, + 837756405, + 586204787, + -1, + -1, + -1, + 227145001, + 537046585, + -1, + 702891028, + 764757628, + -1, + -1, + 328024828, + 489408722, + 942854980, + -1, + 924207478, + 975653794, + 603026392, + -1, + 357933969, + -1, + 657645511, + 626328736, + -1, + 844671388, + -1, + 93244070, + -1, + 796202949, + 336280055, + -1, + 676905739, + -1, + 43275013, + 847312163, + 402880754, + 833980889, + 74113528, + 408830875, + -1, + 429916628, + 390051662, + 643457453, + -1, + -1, + -1, + -1, + -1, + -1, + 719633912, + 784716198, + 273822372, + -1, + 197957252, + 536891794, + 195582128, + 989387726, + 10814739, + 825567504, + 229879536, + -1, + -1, + 252291512, + 999758911, + -1, + -1, + 366502944, + 809594398, + 584367605, + 11265183, + -1, + -1, + 858829753, + -1, + 205430380, + 908724630, + 290830005, + 346430590, + 429038910, + 346035567, + -1, + 83316521, + 124691908, + 130889668, + 497066890, + 407632720, + 334628446, + 430677405, + 828369877, + 946199244, + -1, + 714793916, + 997290564, + -1, + 75330870, + 616790420, + 795212038, + 800652414, + 992864799, + 560480741, + -1, + 790463390, + 487485082, + 71647569, + 170361988, + 575754835, + 270019398, + 8833611, + 68346843, + 377026078, + 132674135, + 814279415, + 851836272, + 411475801, + -1, + 755517650, + 625715111, + -1, + 137249358, + -1, + 440627422, + 330137018, + 369696328, + 532978276, + 566992295, + 256293623, + 669119318, + -1, + 345013759, + 242979792, + 171778018, + 766929262, + 915079905, + -1, + 657248371, + 417795831, + -1, + 3119588, + -1, + -1, + -1, + -1, + -1, + -1, + 976040411, + 930690494, + 558474442, + 309587, + 969955754, + -1, + -1, + 184585525, + -1, + -1, + -1, + -1, + 963529035, + 261423590, + 170897792, + 505929427, + 270623238, + -1, + -1, + 426386062, + -1, + -1, + -1, + 146739684, + 229260749, + 542029088, + 692888078, + -1, + 51982137, + 660460872, + 195124803, + 7669079, + 922466357, + 588208946, + 633386340, + 822169661, + 452625000, + 553748321, + 194942613, + 621018911, + 407644982, + 750930632, + 921945770, + 822203020, + -1, + 549140485, + 581702224, + 76207687, + 554188136, + 20481849, + -1, + 598445683, + 634537081, + -1, + 820396298, + 689204519, + 769550614, + -1, + 639645575, + 623069792, + 953484963, + 944265055, + 638909581, + -1, + 905583407, + -1, + -1, + 245678270, + 741929766, + 9484656, + 837129356, + -1, + 679388121, + 23786418, + 851734928, + 14011384, + 701182243, + 65737502, + -1, + 716777072, + 914354842, + 915003160, + 462330211, + -1, + -1, + 796514693, + -1, + 416815674, + 798839626, + 949484626, + 6019919, + 212695742, + 205842947, + 283741895, + 628642358, + 225869993, + 73757707, + -1, + 833969606, + 548063503, + -1, + 528128897, + 277070519, + -1, + -1, + -1, + 374318234, + 386478423, + -1, + 234020652, + -1, + 397491053, + 513934988, + 520925960, + 374105416, + -1, + -1, + 584485328, + -1, + 659503719, + -1, + -1, + -1, + 715839688, + -1, + -1, + 879695340, + -1, + 317627497, + 938165867, + 76911734, + 853190606, + -1, + 606625805, + 14543389, + 121776068, + -1, + 540191929, + -1, + 322364318, + 260201410, + 894152080, + 906459134, + -1, + -1, + -1, + -1, + 485379890, + 825884669, + 915336262, + 738220428, + 987032714, + 662955797, + 419331685, + -1, + 714514943, + 353924962, + 845057077, + 29287171, + -1, + 601057254, + -1, + -1, + 126742823, + -1, + -1, + 548440332, + -1, + 811994531, + -1, + 625969321, + -1, + -1, + 465192908, + 102299867, + 318408432, + -1, + 696480504, + 879057822, + 996171614, + -1, + 909893353, + 434141154, + -1, + 379736771, + -1, + 550514402, + 579453765, + -1, + -1, + 726488098, + -1, + 79618595, + 136619544, + 290238065, + -1, + 701412088, + -1, + 462820265, + 193747903, + 759556744, + 657046862, + 401298516, + 294185927, + 145358944, + 448397625, + 538031856, + 368551057, + -1, + 332292947, + 988555446, + -1, + 362565596, + 146969300, + 984865341, + 257307466, + -1, + -1, + -1, + 485332202, + 368289450, + -1, + -1, + 412490912, + 177268827, + 838604688, + 882374691, + -1, + 302227536, + 743914420, + 107053602, + 839655474, + -1, + -1, + 513832075, + -1, + 303823941, + 249218231, + 483857172, + 679512195, + 738503713, + 780945146, + 250137851, + -1, + 701776491, + 808686823, + 241431500, + 13186492, + -1, + 38101187, + 695059982, + 749643386, + -1, + -1, + 64703451, + 463241944, + -1, + 566517097, + 248928562, + 746242754, + 73421311, + 558415999, + 379557252, + -1, + 249518044, + 337540976, + 571127153, + 69394474, + 398125067, + 329013337, + -1, + 82421050, + -1, + 976205435, + 120559362, + -1, + -1, + 843196778, + 46381001, + -1, + 118682143, + 253320553, + -1, + 16681413, + -1, + -1, + 489326286, + 780755626, + 141290236, + 184264638, + 139357229, + 694653152, + 544832099, + 31513909, + 724117122, + 283994978, + -1, + 335568739, + 172696638, + 498692420, + 598772462, + 121866321, + 835952998, + 37911053, + 109035292, + 858568327, + 521075418, + 901824809, + 74852930, + 673393887, + -1, + -1, + -1, + 443831132, + -1, + 145146775, + 672168520, + 928226175, + 327938209, + 988005839, + 387260565, + -1, + -1, + 808195341, + -1, + 710803527, + -1, + 918015287, + 130829930, + 519458710, + 700803799, + 798305947, + -1, + 706120614, + 846247126, + 129000303, + 715690670, + 162059786, + 154446859, + 531344924, + 962657887, + -1, + 654452374, + 788806571, + 4615349, + 147552780, + 122973882, + -1, + -1, + 711984798, + -1, + 981945856, + 369113548, + -1, + -1, + 752595381, + -1, + -1, + -1, + -1, + 349896216, + 774446389, + 119880879, + -1, + 375306894, + 327759508, + 536044961, + 138205965, + 130627198, + 899243567, + -1, + 869234763, + 259375044, + 872392165, + 547968462, + 220024528, + -1, + 25492898, + 402630078, + 270904164, + 3652502, + -1, + 597729023, + -1, + 881452532, + 462271083, + 546671223, + 155887393, + 252750096, + 307232981, + -1, + 591722547, + 658924238, + 480717955, + -1, + 442344794, + 932572246, + 862144707, + 218467025, + 594949101, + 462199151, + 649315743, + 859404878, + -1, + -1, + 345666915, + -1, + 369544700, + -1, + 252135258, + -1, + 977255353, + 992054164, + 586611611, + -1, + 243785843, + 459665685, + 810236832, + 624561209, + -1, + -1, + 197929230, + 842781767, + 236479437, + 610736031, + 303177075, + 826216690, + 145817689, + -1, + 792349077, + -1, + 77693352, + 560680916, + 439510601, + 234573885, + 489404117, + 291396584, + 308308106, + -1, + 110429291, + -1, + 178252013, + 44207210, + -1, + 418893578, + 710008657, + 279075258, + -1, + -1, + -1, + 833313803, + 783035293, + 616712535, + 279427037, + -1, + 835003467, + 374981733, + -1, + 928816135, + 164097543, + 13709883, + -1, + 926720947, + 420911229, + 347556308, + -1, + -1, + 438256367, + 367070095, + 858407809, + 24010650, + 365824626, + 360730693, + 438123159, + -1, + 105393954, + 711268883, + 635686511, + 738263299, + 170223068, + 143030463, + 309852238, + -1, + -1, + 134154046, + 104766636, + 466012568, + 174924475, + -1, + -1, + 251158785, + 898980361, + 793395194, + 820734327, + 582223955, + -1, + 763680496, + -1, + -1, + 521831423, + -1, + 62675466, + 883579424, + -1, + -1, + 401160608, + 183769011, + 930202867, + -1, + 584784731, + 902856986, + -1, + 683972889, + -1, + 43008460, + 727012242, + 715831555, + 203411586, + 201624473, + -1, + 30275548, + 129312191, + 156541648, + 909186873, + 609160576, + -1, + 347509843, + -1, + -1, + -1, + 213603072, + 859957423, + 880535061, + 30720499, + -1, + 364885553, + 999600230, + 630932524, + 915698682, + -1, + 331202769, + 349836552, + 614395943, + -1, + 360907528, + -1, + 93579024, + 740730335, + 938380625, + 809472641, + -1, + -1, + 545927711, + 59700989, + 118021559, + -1, + 166871, + 21894422, + 363776822, + 976880346, + 545301404, + 457349600, + 946908365, + 567146308, + 443227747, + 175406115, + 542901058, + 287980147, + 412799732, + 518272055, + 753114297, + 8298343, + 737267025, + 916110078, + -1, + 623050413, + 46885773, + -1, + -1, + 759721361, + 408035736, + 819590504, + 815694058, + -1, + 909109485, + -1, + -1, + 134325052, + 12195881, + 131090112, + -1, + 175763404, + 258736702, + -1, + -1, + -1, + -1, + 474386251, + 433771074, + -1, + 346235344, + -1, + -1, + 822810709, + -1, + 506522244, + -1, + 174098875, + 705631040, + -1, + 538078612, + 825539161, + 711545873, + 723585704, + 202570400, + 973423097, + -1, + 9081038, + -1, + 385798322, + 63164757, + 561958881, + -1, + 471847071, + 798771222, + 671466008, + -1, + 555423871, + 638722775, + 305503656, + 781753036, + 768231854, + 87923233, + 949210496, + 68368044, + -1, + 545160652, + 450778456, + 120887506, + 165740518, + 935167252, + 29291432, + -1, + 587368533, + 55246746, + -1, + 417357976, + -1, + -1, + 868230290, + -1, + 804828139, + 951505082, + 301378402, + 986746113, + -1, + 433185158, + 677414201, + -1, + 966889935, + 159629533, + 90562787, + 280742149, + 525053788, + 495215678, + 449970553, + -1, + 24262527, + 194732716, + 994770718, + 151957392, + 192369097, + 101319536, + 270720658, + 982108584, + 150713611, + -1, + -1, + 633833596, + 119191373, + 344262156, + 326967562, + 646424158, + 235805763, + 770862136, + -1, + 389024181, + -1, + 231304897, + -1, + 635652225, + 998865099, + 452821014, + 282240154, + 534286197, + 393424218, + 323062841, + 675252059, + 319365788, + -1, + 478214301, + 368672589, + 727927823, + -1, + 16557280, + -1, + 403297240, + 96074291, + -1, + -1, + 608095798, + -1, + 888429536, + 233461138, + 92219581, + 444513844, + 489576588, + 539096288, + 755258757, + -1, + -1, + -1, + 803175553, + -1, + -1, + -1, + 265572241, + 761530522, + 926752818, + 209361103, + -1, + 683920867, + 844938795, + 459899047, + 192560989, + -1, + 594205385, + 58022281, + 932153516, + 834004924, + 648284687, + 392097787, + 56853531, + -1, + 987172423, + -1, + 944332895, + 232694051, + -1, + 469490431, + -1, + 987385232, + 190841004, + -1, + 40716789, + 214246684, + 222673425, + 426130835, + -1, + 932019499, + 451402914, + 623475959, + -1, + 321007611, + -1, + 156167345, + -1, + 89093396, + 546090057, + 30909105, + 89718492, + 814672417, + -1, + 96285210, + -1, + 544919877, + 78304904, + 700963060, + 367063043, + 75485089, + -1, + -1, + -1, + 637824956, + 85669461, + -1, + 660863570, + -1, + 80053638, + 875682007, + 250024570, + 291838451, + 226329364, + -1, + 892207733, + -1, + 276962345, + 973119537, + 293011333, + 463186846, + 978391218, + -1, + -1, + -1, + -1, + -1, + -1, + 840359255, + -1, + 651088357, + 612490098, + -1, + 32901487, + -1, + -1, + 506144572, + 953781185, + 617709888, + -1, + -1, + 26779137, + 898254602, + 611159944, + -1, + 421761028, + 601816571, + -1, + 735366888, + 293632710, + -1, + -1, + 960680171, + 723587783, + 81160219, + 890195971, + 85670432, + 294458192, + -1, + 818057884, + 772818957, + 248141389, + 771811400, + 2663414, + 128819376, + -1, + 974548890, + 903194697, + -1, + 792486262, + 223733854, + -1, + -1, + 802965705, + 284678676, + 608816457, + 721157996, + 83287245, + 42970543, + 60154365, + 634504472, + 956864804, + 715202548, + 413584534, + 769619707, + 566232777, + 290184868, + 4682038, + 479221932, + 97630104, + -1, + -1, + 748869262, + 105090690, + 389093822, + 654168562, + -1, + -1, + 522241199, + -1, + -1, + 231706386, + 412534500, + -1, + 360265520, + 135762669, + 137896707, + 515953981, + 471328949, + -1, + 986841443, + 801838931, + 913701952, + 337244831, + 862313227, + 559521631, + 189139530, + 504365961, + 259029382, + -1, + -1, + 268636157, + 992986785, + -1, + 66919065, + -1, + 631258594, + 939422882, + 836210216, + -1, + -1, + 203863224, + -1, + 517164492, + 777040394, + 400387058, + 126428090, + 783690215, + 328851303, + 66771877, + 182777935, + -1, + 131881322, + 971238038, + 49561193, + 912422916, + 301384578, + 450578845, + 960415155, + -1, + 625665839, + -1, + 412207767, + 409351585, + 209659648, + 869545013, + 892614227, + -1, + -1, + 533105853, + 594366543, + 657451026, + -1, + -1, + 466510144, + -1, + -1, + 643819278, + -1, + 130689613, + -1, + 171059776, + 978361019, + 441317113, + -1, + 88156352, + 551441707, + 570813980, + 401673789, + 111510889, + 828157198, + 80623765, + -1, + 771559827, + 325147936, + 517446081, + -1, + -1, + -1, + 229556563, + 553289708, + 170938630, + 75919219, + 451320677, + 948254379, + -1, + -1, + 481163036, + -1, + 36877708, + 489494530, + 400278447, + -1, + 461342628, + 291570745, + -1, + 874618978, + -1, + 306228840, + 128828796, + 852293451, + -1, + 589939712, + 347573343, + 662359212, + -1, + 89531476, + -1, + 836192092, + 589549719, + 484162326, + 809510564, + -1, + 455628508, + 99809621, + 106002763, + 594565765, + 461745688, + 882071357, + -1, + 853637774, + -1, + 959120490, + -1, + 68480414, + 485587461, + -1, + 382524242, + 287661495, + -1, + -1, + 632566583, + 993309652, + -1, + -1, + 603793191, + 492055792, + -1, + 492202282, + 748398866, + -1, + 883249206, + 923146674, + -1, + 902848639, + 117868862, + -1, + 89400366, + 722497739, + 271422478, + 388672426, + 538102969, + -1, + -1, + -1, + 406258372, + 614314895, + 724888039, + -1, + -1, + 909640353, + 550299793, + 199149944, + 609875740, + 922904191, + 859649102, + 931815745, + 187006797, + 232210365, + 28901882, + 232378730, + -1, + 557391965, + 253111814, + -1, + 923105111, + -1, + -1, + -1, + 313008057, + 956001951, + 513651255, + 725366331, + 787576971, + 296871273, + 392571588, + -1, + 408106809, + 528664142, + 520239468, + 367143382, + 258058936, + 327267216, + 89240775, + -1, + -1, + -1, + 406898624, + 505489586, + -1, + 4622717, + 793202488, + 411276899, + 474856797, + 422184874, + 185298307, + 912903966, + -1, + 858458673, + 954259243, + 646612061, + 906335049, + 29758977, + 730373814, + 608675139, + 886383031, + 409543067, + 558334217, + 102880682, + 233075910, + 626962779, + 624379090, + 451616925, + 846822822, + 596705252, + 553159604, + 619520465, + 209975681, + 913156613, + 112387692, + 900844445, + 710155066, + 911289092, + 324355499, + 111788471, + 878650605, + 548959099, + 115092755, + 564625470, + 49847020, + -1, + 277495552, + 333023676, + 630503610, + 693531715, + -1, + 885824601, + 927082252, + -1, + 965743615, + 921374106, + 803033531, + -1, + -1, + 803877684, + 910156503, + -1, + 637767244, + 132996769, + 44117536, + 435558666, + 853108529, + 362141142, + 411513376, + 345270021, + 725297305, + 433890533, + -1, + 163818802, + 464421161, + 647890686, + 109893082, + -1, + 220671270, + 768499914, + 984080021, + 537213693, + 286963640, + 559395275, + -1, + -1, + 495391719, + 176427809, + -1, + -1, + 561786510, + -1, + 568861040, + -1, + 978781013, + -1, + 903449151, + 472219601, + -1, + -1, + 430177872, + 988769934, + 880789152, + 216928556, + 535028249, + 423932415, + 761135921, + 912733532, + 617002102, + 771977530, + -1, + 405688268, + 879770853, + -1, + -1, + -1, + 987899610, + 874640468, + 975616942, + 746929824, + -1, + 721324812, + 689078830, + 869450358, + -1, + 365425249, + 427557014, + 674640896, + -1, + -1, + 324747736, + 469286870, + 328263913, + 542497667, + 635913991, + -1, + 669728957, + 473901519, + 877330213, + 397815591, + 612919295, + 293018971, + -1, + 333365587, + 110927800, + 687607717, + 702066702, + 421874436, + 322737467, + -1, + 1986436, + 130290917, + 461819665, + 172147031, + 469411371, + 199918585, + -1, + -1, + 571420385, + 162741272, + -1, + -1, + 423499116, + 414057276, + 925944740, + -1, + -1, + -1, + 545445164, + -1, + 46014916, + 494127359, + 299408628, + -1, + 239301929, + 959961454, + -1, + -1, + -1, + 100802547, + -1, + 646305559, + 281546519, + 793777134, + 878875026, + 909264824, + 541482677, + -1, + 598186584, + 997761815, + 911352577, + -1, + 671134457, + 141454661, + -1, + 821716363, + 304740586, + 44387774, + 719846271, + 449617607, + -1, + 746435545, + 404355579, + 819160313, + -1, + -1, + 538566655, + 650286460, + -1, + 818973570, + 459989785, + -1, + 691739108, + 675242887, + -1, + 429216481, + 132453231, + -1, + -1, + 987925213, + 434771123, + -1, + 122066567, + 249753669, + 105854880, + 788438996, + 959790502, + -1, + 559666449, + 687469286, + 360578459, + 915286077, + 247244881, + -1, + 909542638, + 102462823, + -1, + 429412816, + 260070845, + 561416747, + 716464994, + -1, + 719777599, + 90996567, + 602163526, + -1, + 991885850, + 35402996, + -1, + 833005984, + -1, + 793250195, + 325515935, + 131025592, + 86463128, + 974960254, + 868431414, + 867350602, + 275103414, + -1, + -1, + -1, + 274077452, + -1, + 846792585, + 767085043, + 369653772, + -1, + 585032734, + 715834963, + 975657453, + 429285610, + 332475538, + 603738868, + 995017378, + -1, + 863295650, + 638222047, + 43573209, + -1, + 17385183, + -1, + -1, + 586920729, + 815204899, + 811994877, + -1, + -1, + 180568873, + 208105075, + 15065510, + 580856854, + 659634913, + 599356622, + 967056760, + 855539730, + -1, + 607067331, + 696630392, + -1, + 655328664, + 798110064, + -1, + 443539349, + 306172457, + -1, + 186447597, + 402707507, + -1, + -1, + 110398633, + 242665681, + -1, + -1, + -1, + -1, + 935010918, + 985294863, + 497252372, + -1, + -1, + -1, + 757914505, + 276976781, + 165747094, + 38913073, + -1, + -1, + 519034755, + 765959381, + -1, + 764340227, + 805263012, + -1, + 691769818, + 92165536, + -1, + -1, + -1, + 893063962, + -1, + 559958511, + 214860397, + -1, + 978674498, + 645649581, + 271663488, + 234008427, + 159009745, + 291567782, + 470969003, + 495171719, + 690177214, + 228548389, + 976283782, + 697523559, + -1, + 112437931, + 65938144, + 486920469, + 100701535, + 479258365, + -1, + 688612308, + 115225876, + 710904342, + 991484209, + -1, + -1, + -1, + 939948738, + -1, + 603126480, + 905388, + 782578475, + 547998656, + -1, + 59962266, + -1, + -1, + 856257678, + 355811328, + -1, + 964636006, + 966943113, + -1, + 464952038, + -1, + 652265806, + 80220572, + 883085161, + 489833185, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 935318756, + 68746235, + -1, + 937230471, + 52727747, + -1, + 300175540, + -1, + 125692654, + -1, + 347095214, + -1, + 897865809, + 272717032, + 941485093, + 893498920, + -1, + 24100304, + -1, + -1, + 554661459, + 813163520, + 609572577, + 53621257, + -1, + 69040143, + -1, + 213081244, + -1, + 616330244, + 988832143, + -1, + -1, + -1, + 477933866, + 46199563, + 841403214, + 961572126, + -1, + 723432729, + 182222442, + 655133653, + 551650597, + 803344023, + -1, + 870588749, + -1, + -1, + -1, + 826664700, + 678357370, + 774456680, + -1, + 656544823, + 762513416, + 402560169, + 39177686, + 217787800, + 205956267, + 449353683, + 390625248, + 86562853, + -1, + 778811542, + 925385013, + 931353364, + 462360848, + 354931662, + -1, + -1, + 832327349, + 254760443, + -1, + -1, + -1, + 489548242, + 998653037, + -1, + 325784349, + 477330786, + 702444902, + -1, + 933358852, + 887924321, + 571029064, + 919621213, + -1, + 5676760, + -1, + 936312764, + -1, + 150916390, + 383537592, + -1, + 129722391, + 986708156, + 353960811, + -1, + -1, + 506969101, + 253430990, + 640698757, + -1, + -1, + 717654870, + 691987983, + -1, + 796869465, + 765161005, + 553064185, + 134687688, + 413698193, + 396097535, + -1, + 209879964, + -1, + 724982646, + 785860693, + 640329065, + 728611702, + -1, + -1, + 19135661, + 741905493, + 274159442, + 623086234, + 976603551, + -1, + -1, + -1, + 458366258, + 556272849, + 796895821, + -1, + 862362932, + -1, + -1, + -1, + 87072375, + 405092500, + 224540043, + 698639061, + 382660107, + 109944080, + 660711490, + -1, + 818782504, + 693456142, + 612104835, + 69005210, + 677125380, + 97364109, + -1, + 919782660, + -1, + 437311925, + -1, + 235928593, + 522573974, + -1, + 905922734, + 793248249, + 896201803, + 60031987, + -1, + -1, + 118034439, + -1, + 194059033, + 358334840, + 161367053, + -1, + 212950182, + 426142138, + 828038328, + 721116454, + 596965084, + -1, + 431577942, + 76747845, + -1, + 116490942, + 431551761, + 961093536, + -1, + -1, + -1, + -1, + 716129532, + -1, + 118109358, + 68766594, + -1, + -1, + 545797709, + 879466884, + -1, + -1, + -1, + 848593045, + 589872647, + 257856423, + 312832861, + -1, + 99393206, + 223010815, + 608809633, + -1, + -1, + -1, + -1, + 883252150, + 19703105, + -1, + 873497775, + 217981167, + -1, + 614151830, + -1, + 329147150, + 65639481, + 676527816, + 691441958, + -1, + 612334098, + 535102485, + 774301581, + 32691304, + 539813563, + 94343572, + 577084854, + 112518928, + 319037541, + 855576429, + 81352214, + 846242459, + 808671562, + 780624290, + 784383805, + -1, + -1, + 141031190, + -1, + 509062321, + 430967733, + -1, + -1, + 968350433, + 198517706, + 962447731, + 732150060, + 748242837, + 549572390, + 480689113, + -1, + 88542712, + 464987701, + -1, + 946833916, + 88744020, + 739533407, + 827589924, + 944953009, + -1, + -1, + 468545238, + -1, + 604664564, + 368850414, + 26021383, + 623225612, + -1, + 839460043, + -1, + 703686960, + 854401801, + -1, + 74467698, + 674892359, + 306230407, + 84858354, + -1, + 728617224, + -1, + 839335590, + -1, + 698112170, + 483349098, + -1, + 675971711, + -1, + 399394662, + 983100506, + 855979899, + 995207835, + -1, + -1, + 778962423, + 630113082, + 100973322, + 226114789, + -1, + 474918431, + 969112583, + 958229319, + 648809473, + 326417878, + 673688881, + 70408766, + -1, + 585449546, + -1, + 786343448, + -1, + -1, + 475683904, + -1, + 216743572, + 528097357, + 641116431, + 333600409, + -1, + 355374040, + 72049810, + 904428314, + -1, + 167600114, + 774800250, + 408906157, + 340484622, + 380542859, + -1, + 360600981, + 485318475, + -1, + 636469458, + 899243089, + 833543307, + -1, + 704746798, + -1, + 645435777, + 978043290, + 473689793, + -1, + 388286715, + 277633478, + -1, + 321374828, + 830026355, + 456224253, + -1, + 481931383, + 407525337, + -1, + 802461489, + 260314653, + -1, + 807062304, + -1, + 980162325, + 790159669, + -1, + 446342192, + 551894049, + 258608333, + -1, + 628588927, + -1, + -1, + 572710148, + -1, + 674303211, + 571205629, + 741787451, + 477326326, + 724630447, + -1, + 439956522, + 658136256, + 134480071, + -1, + -1, + 711698888, + 323658112, + -1, + 356409568, + 969790454, + 40571524, + 645604379, + -1, + 733671593, + 4905308, + 903352694, + -1, + 825995342, + 581911607, + -1, + -1, + 78188086, + -1, + -1, + 331476763, + -1, + 488898875, + 287611334, + -1, + 550030252, + 333641622, + 712043423, + -1, + 988648888, + -1, + -1, + -1, + -1, + -1, + -1, + 355452660, + 295467337, + 4470021, + 858621068, + 228543675, + 197040090, + 740233551, + -1, + 354723752, + 81330134, + 361044700, + -1, + 494715202, + 628443366, + -1, + -1, + 676493686, + 576605419, + 388987087, + 612423015, + 638035354, + 884083887, + -1, + 648666835, + 954905506, + 391720909, + -1, + -1, + -1, + 192518293, + 974608215, + 448233237, + 606688911, + 999882293, + -1, + 680015282, + -1, + 810572934, + 549802651, + -1, + -1, + 874421589, + 359714184, + -1, + 765153793, + -1, + 212395544, + -1, + -1, + 112793259, + 638315174, + -1, + -1, + 473462413, + -1, + -1, + 210408170, + 47927429, + -1, + 316560673, + -1, + 524863603, + -1, + 471109031, + 798457039, + -1, + 111847626, + -1, + -1, + 125573507, + -1, + -1, + -1, + 885419997, + 964502684, + -1, + -1, + 583656840, + 46856290, + -1, + -1, + -1, + 445086573, + -1, + 966820921, + -1, + 641159948, + 344842408, + 55022400, + 908568822, + 440159824, + -1, + -1, + 479844741, + -1, + 633423197, + 195950579, + 937793499, + 641531671, + 551698473, + -1, + 419037205, + 746443291, + -1, + 411035401, + 302325284, + 676959709, + -1, + 787281510, + -1, + -1, + 960642123, + 577807930, + 99921352, + 269855249, + 479570987, + 525041134, + 246984192, + 132576205, + 230807381, + -1, + -1, + 185655070, + 853086510, + -1, + 315568896, + 37871003, + 481840517, + 818082060, + -1, + 535124295, + 530352169, + 547498051, + -1, + 98675630, + 318653178, + 572178153, + 453915937, + 333203834, + -1, + 11226418, + 311506255, + 9982527, + -1, + 395969417, + 750237369, + -1, + 156754455, + 458790681, + -1, + 281897950, + 501549870, + 754149298, + 794645054, + 827820116, + 176167298, + 962349691, + -1, + -1, + 550425645, + 527168763, + 970509688, + 398276983, + 934868197, + 105712804, + 269787116, + 793206457, + 579587850, + -1, + 406523629, + 662303757, + -1, + -1, + 202859629, + 197753641, + 718014957, + 647113493, + -1, + 427996700, + 143295913, + -1, + -1, + -1, + 921663685, + 404505206, + 337480880, + 367211682, + 752372553, + 946879062, + -1, + 173455104, + 743958580, + 963051519, + 876630627, + -1, + 498541178, + 865158893, + 601207035, + 370660884, + 604561547, + -1, + 599733465, + 758291712, + 866314906, + 139368910, + 615117444, + 418794855, + -1, + 788591762, + -1, + -1, + 338662398, + 747066682, + -1, + 222265941, + -1, + -1, + 634125065, + -1, + 249496257, + 445990859, + -1, + -1, + 217867519, + 890581911, + 157119496, + 16165406, + 839578954, + -1, + 400164710, + -1, + 980658203, + -1, + 779393016, + -1, + -1, + -1, + 561499939, + -1, + 362212970, + 460818451, + -1, + 143787191, + -1, + 377197686, + -1, + 305399803, + 196525478, + -1, + 542628095, + 237659621, + -1, + 282441290, + 354375525, + 711974038, + 651374126, + 487096736, + 497407200, + 36608252, + -1, + 575928645, + -1, + 145909048, + -1, + -1, + 771533243, + -1, + 101853503, + 122272537, + 186986508, + 674113591, + 991263872, + 953051667, + 171898945, + 182003881, + 161690124, + 371211396, + 179156592, + 114245524, + 410931280, + 698792547, + 602850135, + 226182995, + 623921798, + 850855563, + 55675240, + -1, + 493332152, + 427100007, + 272561861, + 532116030, + -1, + 465278038, + -1, + 568205949, + -1, + 683052221, + 453912648, + -1, + 840759105, + 425528590, + 173385422, + -1, + 955609444, + 454067851, + -1, + -1, + -1, + 500162702, + -1, + 767466838, + -1, + 346203861, + 835446476, + 683632824, + -1, + 863187441, + -1, + 392179639, + 354593365, + 842243571, + 644998466, + 522745139, + 398387782, + -1, + 578112093, + -1, + 72067071, + 922331964, + 915028051, + 620576677, + 809732888, + 796797837, + -1, + -1, + -1, + -1, + 829085644, + -1, + -1, + 911212348, + -1, + -1, + 30003549, + 149411100, + 117957282, + 219183124, + 543318817, + -1, + -1, + -1, + 792162747, + 519178643, + 966032098, + 35444392, + 398908044, + 202960658, + -1, + 127594675, + 719345166, + 511418932, + -1, + 528270375, + 413503360, + -1, + -1, + 55732496, + -1, + 481905770, + 655025456, + -1, + -1, + -1, + 714299685, + -1, + -1, + 593531794, + 981372714, + -1, + -1, + 124997642, + 82786827, + 152748204, + -1, + -1, + 56308254, + 615640085, + 398391630, + 381114900, + 236966485, + -1, + 640542718, + 283503868, + 464503886, + 518841502, + 63133062, + -1, + -1, + 880063527, + 353476415, + -1, + 173105281, + 389648796, + 668582459, + -1, + -1, + -1, + 425908909, + 441163657, + -1, + -1, + 664400512, + 940798139, + 982113549, + -1, + -1, + 358909901, + 302990852, + 59593658, + -1, + 82445321, + -1, + 727541789, + 88048790, + -1, + 146160877, + -1, + 617524222, + 67204103, + -1, + -1, + 750249753, + 468987106, + 454987871, + 928682572, + 624280428, + -1, + 841176738, + 331691050, + -1, + 885871446, + 619679666, + -1, + 808837573, + 479876217, + 242604058, + 952503202, + -1, + -1, + 247122615, + -1, + 534779028, + 286063269, + 732352102, + 689408653, + 335124717, + 959441358, + 19159031, + 788615996, + 399153612, + -1, + -1, + 954474545, + -1, + -1, + 804077852, + 616841406, + -1, + 292884191, + 932719656, + -1, + 119087897, + 79504230, + 138146318, + 228419058, + 688549804, + 751409725, + 538885758, + -1, + 560009819, + 203475056, + 560472803, + 180346512, + -1, + 4468976, + -1, + -1, + 838173301, + 550324818, + -1, + 845947973, + -1, + 636683495, + 470662949, + 448522621, + 33881630, + 918468333, + 763285390, + 417769568, + -1, + 690456567, + -1, + 321069327, + 222167919, + -1, + 301005624, + 202945142, + 893651443, + 841590136, + -1, + -1, + 875806985, + 952641502, + 350841605, + -1, + 835114899, + 725798080, + 732549359, + -1, + 484702494, + 582586125, + 819115604, + -1, + 622781347, + 887229116, + 642918678, + -1, + 835273247, + 872140228, + -1, + 320863807, + 315028816, + -1, + 860084787, + -1, + 168309337, + -1, + -1, + 880889955, + 783619789, + 147031697, + 474452679, + 27831181, + 875365473, + 778897799, + 578115991, + 583579823, + 266420575, + 173878940, + 943809587, + -1, + 101099954, + -1, + 382449661, + 472780686, + 30981114, + 927011547, + 621228357, + 278057987, + -1, + 398382186, + 335300384, + 195949276, + -1, + -1, + 3282139, + 48921114, + 217909490, + -1, + -1, + -1, + -1, + 321252394, + -1, + 317689664, + 273428562, + -1, + 160705437, + -1, + 542862141, + 935491517, + 919483614, + 326721174, + 397815542, + -1, + 436248511, + 24409378, + 325854786, + 832316487, + 361889409, + 944587546, + 905084867, + -1, + -1, + 246340481, + 606568402, + 661856746, + 243344135, + -1, + 817279305, + -1, + 899413839, + 841243443, + 136955010, + 623887288, + 423445959, + 840259197, + 786443595, + 173274351, + 370189740, + -1, + -1, + -1, + 724144041, + -1, + 832618600, + -1, + -1, + 30778149, + -1, + 886120208, + 512935181, + -1, + -1, + 359626838, + 826783374, + 69274386, + 102719299, + 329157505, + 901027518, + 181059037, + 549660715, + 618435280, + 212649913, + 734912817, + 397264282, + 773622635, + -1, + -1, + 544189784, + 167229697, + 414743182, + 314934567, + 238943066, + -1, + 78547313, + -1, + 848013450, + -1, + 908959577, + 506260755, + 253291976, + 48369257, + 734048187, + 971296125, + 600170823, + 941675702, + -1, + 740248880, + 912141895, + 747753037, + 542327287, + 979949729, + 575774563, + -1, + -1, + -1, + -1, + 425542672, + -1, + 794786424, + -1, + 790335156, + 281329199, + 950077548, + 967326079, + 925718299, + 125394915, + 536969989, + 172052532, + -1, + 756108960, + 686006623, + 763751762, + 150800964, + 43822284, + 58271660, + 926461611, + 486200576, + -1, + 789499137, + -1, + -1, + 557763685, + 561256840, + 63322068, + 340750630, + 94837952, + -1, + 308644709, + -1, + -1, + -1, + 811528317, + 606609306, + 916502984, + -1, + 549793102, + 714402937, + 598923775, + 466283099, + -1, + 705933787, + -1, + -1, + -1, + -1, + -1, + -1, + 115163781, + 288115070, + -1, + -1, + -1, + 899878805, + -1, + 171610185, + 841504245, + -1, + 428936397, + 907206256, + 525324669, + 727293336, + 324954604, + 894931204, + 234177750, + -1, + -1, + 608201276, + 615492303, + 889412095, + 144935795, + 863097694, + 942776887, + 259662377, + 248497409, + 515261602, + 352939419, + -1, + 53226611, + 621906736, + 270851879, + -1, + -1, + 593483805, + 726208700, + 883683398, + 80447749, + 856128567, + 828830300, + 941436946, + 570900797, + 555878392, + 392430530, + -1, + 757003928, + 439111580, + 443420823, + 752372230, + 635816933, + -1, + 155154292, + 150379255, + 744885629, + 186989043, + -1, + 955501141, + -1, + 783292671, + -1, + -1, + 435029233, + -1, + 690811041, + 11365697, + 884212474, + -1, + -1, + 692176886, + 82813141, + -1, + -1, + -1, + -1, + 194538341, + -1, + 425689255, + 61207802, + 293046729, + -1, + 21188106, + 63452295, + 43087681, + -1, + 555172293, + 635489767, + -1, + -1, + 650775147, + 173597301, + 643789394, + 250273259, + -1, + 308221642, + 613977814, + 715059047, + 323942444, + 385467367, + 800996347, + 361288943, + -1, + 562510170, + 628411263, + -1, + -1, + 782197897, + 957755160, + -1, + 348464704, + 198600909, + -1, + 958655775, + 656725709, + 428280032, + -1, + -1, + 475418486, + 700577784, + -1, + 653675665, + 829638928, + 320459009, + 382125592, + -1, + 686023976, + 372964343, + -1, + 896356102, + 790083313, + -1, + -1, + 493496881, + 7886082, + 755080742, + -1, + 275427777, + 147775954, + 635591164, + 631133339, + 415896202, + -1, + -1, + 16634613, + 877357319, + 582465442, + -1, + -1, + 411726045, + 618111450, + 173126636, + -1, + -1, + 992349967, + 918198047, + 113345327, + 281543588, + 152953277, + 488519654, + -1, + 502967242, + -1, + 795439682, + -1, + -1, + 416365318, + -1, + -1, + -1, + 159639795, + 741637823, + 246304148, + 247694805, + 424195899, + 851829777, + 777124680, + -1, + 852184955, + 47820794, + -1, + 293207493, + 474951165, + 516343240, + 640423727, + 183789369, + 404412773, + 870705814, + -1, + -1, + -1, + 323960013, + 823074103, + 956579575, + 197965223, + -1, + -1, + 955852421, + -1, + -1, + 586488683, + -1, + 990429554, + -1, + 722938676, + 101452624, + -1, + 141930987, + 541519014, + 183096807, + 109482127, + 512728382, + 361844404, + -1, + 922643109, + 914084825, + 409659837, + 433847164, + 872828396, + 235036879, + 2477878, + -1, + 940971018, + 388007593, + -1, + -1, + 751220925, + -1, + -1, + 169816937, + -1, + 267055522, + 687083308, + 4262920, + 464499078, + 550288658, + 255762160, + 644010152, + 381412732, + 302689646, + -1, + 503625904, + 3526763, + 649817664, + 264154860, + 731439576, + 142160280, + 481836628, + -1, + -1, + 967194352, + -1, + 804469612, + -1, + 195788099, + 605646982, + -1, + 617110149, + 880913107, + 620664050, + 233883097, + 96615753, + 315892161, + 16321782, + 743749136, + -1, + -1, + 703518739, + 39867481, + 402260162, + 818249428, + 604278649, + 666702322, + 691856439, + 457482670, + 646452093, + 528814838, + 719290802, + 633703978, + 124023624, + 849715179, + 632915196, + -1, + 909692463, + 694213178, + 653201830, + 443500629, + -1, + -1, + 870683116, + 407602053, + 785543099, + 696165922, + -1, + 119937220, + 902939165, + 758753751, + -1, + -1, + 649216124, + 586785907, + 969074688, + 941294810, + -1, + 508500825, + -1, + 83328781, + 554038139, + 409444844, + 863366252, + 874075303, + 751694411, + 20241242, + 349096338, + 441023379, + -1, + 476001158, + 449051962, + -1, + -1, + 758335312, + 454703637, + -1, + -1, + 165523991, + 303221436, + -1, + 664321851, + 268381774, + 772636309, + -1, + -1, + 317867602, + -1, + -1, + 18965250, + 578397571, + 236443953, + 570079223, + 632849165, + -1, + 129412113, + 882708466, + 968770612, + 271706301, + 34634604, + 285909336, + 279669017, + 516995117, + -1, + 50913909, + 833529106, + -1, + -1, + 948044831, + -1, + -1, + 157227144, + 490908491, + 272525993, + 372801457, + 763267172, + 106076399, + 401667804, + 186875300, + -1, + 750097861, + 426677540, + 915908129, + 362739392, + 658627500, + 293717461, + -1, + 144651743, + 529142563, + -1, + 354761214, + 166855928, + 357268444, + 27583922, + -1, + 665128514, + -1, + 830161608, + 86874813, + 31003641, + 809831394, + 400523628, + 969948823, + -1, + 909203636, + 30270532, + 632614119, + 412990219, + -1, + 632012621, + 334936418, + 448635359, + -1, + -1, + -1, + -1, + -1, + 768925840, + 188079164, + -1, + 759531792, + 719309641, + 664915083, + -1, + -1, + 843593744, + 335884890, + 715427875, + -1, + 155809633, + 699237290, + 829697573, + 883488041, + 898748044, + 759889324, + -1, + -1, + 739900017, + 831600810, + 58098534, + -1, + -1, + 745803589, + 563485217, + 488590670, + 476512832, + 436641825, + 598613554, + 180911343, + 796179465, + 3294394, + -1, + -1, + 349826160, + -1, + -1, + 796729592, + 507354999, + -1, + 849844299, + 660247610, + 419519062, + 852352651, + 80148471, + 570812386, + 359875461, + -1, + 91812147, + 301971236, + -1, + -1, + -1, + -1, + 184850871, + 669430945, + 647453924, + 439857966, + 603469199, + -1, + 82360026, + -1, + 918213115, + 629819040, + 950428011, + 172096624, + -1, + -1, + -1, + 758219979, + 278921012, + 648694797, + 529732587, + 861203948, + -1, + -1, + 712505140, + -1, + 29602362, + -1, + -1, + -1, + 652329257, + -1, + 244557698, + 653836484, + 731100439, + -1, + -1, + 954174758, + 711532576, + -1, + 715227139, + -1, + 964289053, + 737705500, + -1, + 978943852, + 293487704, + -1, + -1, + 179340102, + 845509082, + 598280912, + 956595431, + 320872044, + 849579716, + -1, + 474547219, + 486302723, + 980236455, + -1, + 444509454, + 465617938, + 452484049, + 389341558, + 258300563, + -1, + 139087487, + -1, + 60236877, + -1, + -1, + -1, + 574483283, + 244500327, + -1, + -1, + 52679127, + 9310317, + 697465899, + 193427574, + 780952992, + -1, + 29315184, + -1, + 231429746, + 799576897, + -1, + 256298456, + 653662594, + 146517293, + 201476290, + 126617792, + -1, + 114382151, + -1, + 961765327, + 416771569, + 381322371, + 867109632, + 757113083, + 294817171, + 857422606, + 995245276, + 66280883, + 649844355, + 979801111, + 818731662, + 815563478, + 761693206, + 994893333, + -1, + 101441055, + 353164314, + 804331177, + 4123495, + 833077775, + 439200445, + -1, + 806336202, + 194113985, + 327614188, + 44180192, + 858681328, + 360101811, + -1, + 665608165, + -1, + 403068354, + 205714903, + 989225374, + -1, + -1, + 651064273, + 735234858, + 441327878, + 846993062, + 762719454, + 120951222, + -1, + -1, + 341692283, + 935762240, + -1, + 428201593, + 908554547, + 822994224, + 599607741, + 626542867, + 508012354, + -1, + 801858500, + -1, + 548861991, + -1, + 917875521, + 135183271, + 383951946, + -1, + 506467702, + 404499421, + 85424830, + 494463618, + 143157163, + -1, + 174944046, + -1, + 676962404, + 477141770, + 826716076, + -1, + -1, + 408623724, + 609284775, + 371311168, + 15367978, + 990083124, + 484205621, + -1, + 807687416, + 398732408, + -1, + 971408138, + 297519010, + 576028974, + 945551093, + -1, + 281579994, + 604242415, + 937828694, + 808782237, + 809091444, + 468683714, + -1, + 857397859, + 829636929, + 67054715, + -1, + -1, + 968033863, + 680607797, + 170248132, + 24572906, + -1, + 701576637, + -1, + 180574994, + 888487531, + 323933352, + 609307406, + -1, + -1, + -1, + 806800799, + 257684847, + -1, + 84785238, + -1, + 385307882, + 362661115, + 778627055, + -1, + -1, + -1, + -1, + 736927481, + 219794810, + 948168594, + 254751240, + 414065049, + 115159391, + 705624942, + 971368671, + 981398487, + 402346501, + 412633102, + 467150195, + -1, + 747999028, + -1, + 891690192, + 448014273, + -1, + -1, + 589323927, + -1, + 776733001, + 786397188, + -1, + 477887132, + 476107300, + -1, + 356669111, + -1, + 168219191, + -1, + -1, + 862356701, + 234546659, + 903002843, + 804306566, + -1, + 57735649, + -1, + 848778436, + 922363431, + -1, + -1, + -1, + -1, + 831706749, + 720856338, + 636614234, + 82770658, + 62000293, + 184123445, + 294045722, + 68626997, + 640571584, + 111200135, + -1, + 623137763, + 690026129, + 773666173, + 904222983, + -1, + 705401607, + -1, + 824474336, + -1, + 701059666, + -1, + -1, + 860878132, + 437134090, + -1, + 751618132, + 770499222, + 114936978, + -1, + 798844620, + 45986221, + -1, + -1, + 739095059, + 940969518, + 1243988, + -1, + 625000482, + 706821867, + 874904235, + -1, + 552284530, + -1, + 127979699, + 915035824, + 607130172, + -1, + -1, + -1, + 646301367, + 696869307, + 947361481, + 245245454, + -1, + 791324037, + 295705846, + -1, + 565940284, + 559744816, + 775174977, + -1, + 54114318, + -1, + -1, + 962467654, + 481350507, + -1, + -1, + 857593928, + 712515688, + 861684993, + 426881372, + 154957286, + 647065405, + 531607680, + -1, + -1, + -1, + 421991667, + 966192772, + 818750621, + 920193864, + 55162173, + 643188144, + 981166563, + 724044115, + 320310238, + 299891168, + 860962775, + 761292243, + 941119188, + 483460057, + 874303194, + 795473671, + 311206500, + 346638888, + -1, + -1, + 775839411, + -1, + -1, + 796622223, + -1, + 723359478, + 962988820, + 390909916, + 438370598, + 852994330, + 650952727, + 818011950, + 413963877, + 843578549, + 417154486, + -1, + 286284916, + 592384219, + 941984613, + 295838085, + 846009848, + 801343017, + 576462264, + 183415881, + 117933200, + 71065440, + 109812939, + 89574173, + 666312388, + 864632260, + 948470850, + -1, + -1, + 468227079, + 654383437, + 633540926, + 561888799, + 959629667, + 954396455, + -1, + 812421141, + 161739030, + 746739237, + 614557943, + -1, + 656294908, + -1, + 462376447, + -1, + 371761526, + -1, + 515041222, + 551722352, + 251607108, + 843697989, + 179338130, + -1, + -1, + 294481814, + -1, + 749173256, + 20701674, + -1, + 995854937, + 115226888, + 614741472, + -1, + 199984177, + 251828255, + 50424528, + 573758671, + -1, + 539712591, + -1, + 389002499, + 251326773, + -1, + 816521621, + -1, + 357321094, + 841890636, + 132811243, + 366452577, + 88001665, + 834104057, + -1, + 568214042, + 856511927, + -1, + 60959654, + 91925475, + -1, + 87912943, + -1, + 789722670, + 810268136, + 732068835, + 451864633, + 782061336, + 996033750, + -1, + 350613755, + -1, + 523777286, + 641206512, + 99243420, + -1, + 791830993, + -1, + -1, + 730236396, + 33939467, + 380440400, + -1, + 128966150, + -1, + 861270045, + -1, + 473053448, + 870509250, + -1, + 573835261, + 27589501, + 837029267, + 129970563, + 158494570, + 635771226, + 655191508, + 129662720, + -1, + -1, + 137820298, + 935300853, + 487511700, + 65020077, + 265709204, + -1, + 535662271, + -1, + -1, + -1, + -1, + 727108352, + 726094638, + 369576692, + 711027791, + 675608201, + 279954334, + 420390291, + 741338033, + 791775458, + 338126531, + 39794661, + 312593141, + 106688467, + 21674913, + -1, + 765235874, + 850799937, + -1, + 838372388, + 138142188, + 2495315, + 225606216, + 829249898, + 373313296, + 625992094, + -1, + -1, + 379702735, + 368878675, + 902401475, + -1, + 634559766, + 995795494, + 651208885, + 988744222, + 538414128, + 361462838, + 554070910, + -1, + 228473480, + 55074041, + -1, + 995143737, + 134799734, + -1, + -1, + -1, + 972138229, + 426993221, + 938049210, + -1, + 688031275, + -1, + 2661696, + 386144112, + 630249223, + 669486913, + 951296403, + -1, + -1, + 154900751, + 544397677, + 483543920, + -1, + -1, + 279293214, + 510159250, + 854348026, + -1, + 971775189, + -1, + 559493633, + -1, + -1, + -1, + 951871249, + -1, + 14552051, + 895848603, + 246915431, + 768965297, + 216747153, + -1, + -1, + 226706424, + 952228290, + 667142707, + -1, + -1, + 135173267, + -1, + 870361193, + 54969424, + -1, + -1, + 762652355, + -1, + 779719627, + 9979399, + -1, + 667320556, + 631128367, + 783581661, + -1, + 178192634, + -1, + 908817211, + 43948706, + -1, + -1, + -1, + 908226192, + -1, + 825998036, + 255115353, + -1, + -1, + -1, + 938576796, + 355690294, + -1, + 541047954, + -1, + 412639827, + 804669288, + 592492428, + 742250814, + 768728503, + 907553956, + -1, + 268314956, + 228915459, + 932501789, + 460685346, + -1, + 246567358, + -1, + 971806050, + 167861404, + 723596183, + 979803535, + 996695589, + -1, + 165093008, + -1, + -1, + 711249474, + 660325130, + -1, + 695241843, + 984040375, + -1, + -1, + -1, + -1, + -1, + 997543289, + -1, + 298553215, + 185413470, + 42853859, + 110504988, + 26022940, + 183085614, + 328537955, + -1, + 423836769, + 617925305, + 956689310, + 862555971, + 265978773, + 136339090, + 333432285, + 881060985, + 877977018, + 815917302, + 812815338, + 693104321, + 714780345, + 382477173, + 460345872, + -1, + 146100470, + 935080282, + 81306883, + 3853175, + 438883481, + -1, + 585260294, + 178725628, + -1, + 909062720, + 660599694, + 612851917, + 515535532, + -1, + -1, + 791732465, + 634559302, + -1, + 778450700, + 112709689, + 5376033, + 749937319, + -1, + -1, + -1, + -1, + 499508947, + -1, + -1, + 241695962, + -1, + 59690756, + 484563887, + 563772396, + 341598785, + 738506203, + 176673200, + -1, + 917468880, + -1, + 204530381, + 383627000, + -1, + -1, + 988172828, + 500246958, + -1, + -1, + -1, + 306590799, + 78808441, + 216502164, + 648048652, + 31108737, + -1, + 288504543, + 402343673, + 320968597, + 785571135, + 53437038, + 359291033, + -1, + -1, + 880939482, + 505787578, + 205613964, + -1, + -1, + 246460165, + 558292408, + 389193838, + 422311158, + 213453949, + 123459489, + 574550995, + 553906916, + 672226678, + -1, + 29451313, + 110245864, + 180324673, + 69060664, + 145974288, + 624896972, + 673298007, + 832918730, + 724902772, + -1, + -1, + -1, + 852667224, + -1, + 378730225, + 147153456, + 62883998, + -1, + 942871306, + 385159295, + 81797684, + 92109038, + 702235106, + -1, + -1, + 11787313, + 494380052, + 489703627, + -1, + -1, + 618142634, + 889767016, + 937925002, + -1, + -1, + 173922400, + 741411962, + 84339057, + -1, + -1, + 353330729, + 559212598, + 220465992, + 355021387, + -1, + 860291186, + 50729291, + -1, + -1, + 711959597, + 718870961, + 828150027, + -1, + -1, + -1, + 724131842, + -1, + 118250732, + 871097870, + -1, + -1, + 709881006, + -1, + -1, + -1, + 374309359, + 490516979, + 674737255, + 88627464, + -1, + 405110229, + -1, + -1, + 679503961, + 628832246, + -1, + 90565457, + 364467688, + 511299975, + 173852508, + 252767311, + 660290437, + -1, + 308469119, + -1, + 624052953, + 874258603, + 427835957, + 858045513, + 450702383, + 674753188, + 784035138, + 195472792, + 787360406, + -1, + 381088739, + 107459309, + -1, + 627039655, + 890381892, + 105309712, + -1, + 476948810, + 882199360, + -1, + 538609200, + 611641242, + 907693747, + 472105162, + 279290474, + 737348331, + 894189802, + 496317595, + 611947152, + -1, + 695431233, + 459655522, + 512225424, + 153696533, + 305285726, + -1, + -1, + 68762945, + 325645935, + 319577127, + 221021884, + 761788752, + -1, + 745954965, + 639362414, + -1, + 348496954, + -1, + -1, + -1, + 939217274, + -1, + 338714206, + -1, + -1, + 446048740, + 889488539, + 48653990, + -1, + 952218563, + -1, + 567241090, + -1, + -1, + -1, + 392859406, + 215371613, + 234784500, + -1, + 886575584, + 447819687, + 821918542, + 38697615, + 810052211, + 791628185, + -1, + -1, + -1, + 681684839, + 137835748, + 323088428, + 133980699, + -1, + 240318852, + 522572808, + -1, + 839955776, + 606814213, + 303138606, + 155776776, + 110194829, + 350892973, + 461122239, + -1, + -1, + 961701241, + 987248975, + 539633392, + -1, + -1, + 481524056, + 165874039, + -1, + -1, + 873963654, + -1, + -1, + -1, + 752770829, + 379868549, + 406108904, + 160702399, + -1, + 666069818, + 426176315, + 174469160, + -1, + -1, + 80209785, + 131735849, + -1, + 281681695, + 593503547, + 350329890, + 704073900, + 346814352, + 546227159, + 594938397, + 770225015, + 623495373, + -1, + 419761309, + 471949202, + 322435817, + 87185771, + 203165221, + 806207828, + 12648599, + -1, + -1, + -1, + -1, + 529911965, + 156436980, + 830753541, + -1, + 63997593, + 976370727, + 883365098, + 668246074, + 679955297, + 623876079, + 281537226, + 500061028, + 871854314, + -1, + 622164302, + 538672222, + 408874380, + 452339302, + 712132752, + 35591801, + 536264985, + 277416785, + 529773762, + 383603449, + 170159316, + 713710815, + 512553102, + 764402222, + 634094764, + 462573669, + 23565381, + -1, + 497906607, + 690783325, + 244440917, + -1, + 322519909, + 647087155, + -1, + 594237874, + 970499466, + 480358818, + 242701433, + -1, + -1, + 158487036, + 962114803, + -1, + -1, + 253407275, + 805081930, + -1, + -1, + 589682943, + 940712837, + 829565731, + 437536077, + 364276083, + 182746412, + 645758408, + 553262842, + 65049268, + 165159804, + 746792320, + 154529553, + -1, + 586906086, + 369585773, + 184809329, + 776064310, + 229618851, + 682636225, + -1, + -1, + 82593912, + 749616296, + -1, + 822443388, + -1, + 851037621, + 845311585, + 147745125, + -1, + 459382652, + 960114399, + 691218719, + 762222045, + -1, + 793483778, + -1, + 1330426, + 346939596, + -1, + -1, + 543788783, + 317825354, + -1, + -1, + 319748487, + -1, + 851200887, + 939007965, + -1, + 901628450, + -1, + 961378364, + 947677046, + -1, + 428855310, + 985075626, + -1, + 427358218, + 442895130, + -1, + 158298235, + 944003189, + 339148425, + 614992308, + -1, + 163793841, + 276739861, + 489926811, + -1, + -1, + 682833611, + -1, + -1, + -1, + -1, + 453464273, + 936691968, + 516434052, + 612395113, + 524488824, + -1, + 418005018, + -1, + 980471706, + 278453593, + 633130747, + 561110577, + 90597801, + 14361629, + 820966736, + 751081648, + 989605446, + 966275852, + 985974123, + -1, + 982317817, + 948324684, + -1, + 472730077, + 612437394, + 487463941, + 440709391, + -1, + 41545141, + 970054733, + 739196087, + -1, + -1, + 634056058, + -1, + -1, + 733715904, + 508715304, + 333121974, + 149301928, + 52722605, + -1, + 844875989, + -1, + 466112735, + 582880663, + 672791775, + 487548678, + 244972661, + 212166279, + -1, + 860400168, + 369653005, + -1, + 855035130, + 305513499, + -1, + -1, + 823799221, + 438106884, + 815315696, + 753641384, + 766644670, + 757729423, + -1, + -1, + -1, + 622359293, + 333941598, + 603571415, + 598578545, + -1, + 370337508, + 880971287, + 258613435, + 820795638, + 153379999, + 250804468, + -1, + 80294590, + 8777687, + 357828918, + -1, + 491163962, + 765332601, + 60074655, + 204895097, + 2804535, + 220880987, + 383745009, + 862370426, + 622695615, + -1, + 713051738, + -1, + 777339805, + -1, + -1, + 209109769, + 699290107, + 489433864, + 632754858, + -1, + -1, + -1, + 467299867, + -1, + 888455270, + 781298613, + 267554089, + -1, + 872645850, + -1, + -1, + -1, + -1, + -1, + -1, + 747910480, + 865081331, + -1, + 566181124, + 847463622, + 70566597, + -1, + 615584103, + 79884406, + 991913164, + 201423996, + 186313409, + 191491836, + 176315692, + -1, + 706827814, + 563547250, + 62735422, + 454423449, + 319464841, + -1, + 291096407, + 161674215, + 773510645, + 678424041, + 556962170, + -1, + 421601912, + -1, + 219043779, + 174776598, + -1, + 479560205, + 124279862, + -1, + -1, + 259165021, + 44038385, + 979654421, + 751030415, + -1, + -1, + 589256348, + -1, + 269247559, + -1, + -1, + -1, + 464044560, + 763671711, + 123408105, + 562531621, + -1, + -1, + 812557658, + -1, + 879877640, + -1, + 957494319, + 6444296, + 409339546, + -1, + -1, + 896202323, + -1, + 822879374, + 754674594, + 692755669, + 507652237, + -1, + 159817017, + -1, + -1, + -1, + 776086034, + 707613534, + 183584923, + 233633422, + 461271074, + -1, + -1, + 136654369, + -1, + 875117455, + 225612140, + 221265352, + 27930292, + 908805606, + 216840853, + 193242892, + 807331105, + -1, + 981994963, + -1, + 341609129, + 31122346, + -1, + -1, + 215308168, + 33082528, + 632374418, + 11472577, + 361059218, + 48054806, + 685629907, + 592189093, + -1, + -1, + 616202679, + 764145789, + 660426764, + 982310120, + -1, + -1, + 382104469, + -1, + 345291481, + -1, + 157156754, + 745471012, + 921907605, + 481952613, + 144239667, + 117612984, + 935249140, + 665274012, + 946288326, + 587690658, + 886122716, + 604841726, + 696443625, + 66780119, + -1, + -1, + -1, + 965319439, + 59204950, + 820073253, + 394592733, + -1, + 77026042, + 96618368, + 737400251, + 105538472, + 195940339, + 4225304, + 787644227, + -1, + 877782167, + 726498958, + 646701568, + -1, + 940572477, + -1, + 251193343, + 63651216, + 974638620, + 329637630, + -1, + 530649750, + 94879066, + 499456894, + 782913193, + 261018208, + 173459564, + 884530774, + -1, + -1, + -1, + 57658643, + 304729357, + -1, + 180049890, + 701888947, + 698676382, + -1, + 319421073, + 70350700, + 397062897, + 295877607, + 291199416, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 853724137, + 715382416, + -1, + 77838960, + -1, + 567365737, + 212684182, + -1, + -1, + 97177998, + -1, + -1, + 106990077, + 733306709, + 179300501, + 233581547, + 426972699, + 306524831, + 622480326, + 549056372, + 649444861, + 625930950, + 616115685, + -1, + 609493711, + -1, + 15979099, + -1, + 6409291, + -1, + 782328217, + -1, + 53635899, + -1, + 524365696, + 878469499, + 235724792, + -1, + 763126844, + -1, + -1, + -1, + 189842537, + 878542380, + -1, + 617769283, + 917908109, + 335872011, + -1, + -1, + 392241601, + -1, + 745719175, + 546241204, + -1, + 126907135, + 76394781, + 90773286, + 508296632, + -1, + -1, + 527668454, + 553110007, + 695899230, + -1, + 395189008, + -1, + 709615481, + 477842619, + 705822592, + 33871840, + -1, + -1, + -1, + -1, + 973101342, + 191700425, + 273310671, + 22712167, + 728780206, + 163823890, + 701574206, + -1, + 205872743, + -1, + -1, + 188659627, + 30712987, + -1, + 331959029, + 454006274, + 749115234, + 590006118, + 781546730, + 222940630, + 231507679, + -1, + 939411738, + 885528109, + -1, + 180310734, + 535564749, + 621868070, + -1, + 194900090, + -1, + 953115169, + 648464995, + 369087657, + 969255284, + -1, + 370481573, + 614265770, + 116459781, + -1, + -1, + -1, + 187740252, + 661068844, + -1, + 251624771, + 229593506, + 280570690, + -1, + 17864784, + 911333422, + 6678243, + -1, + 156024514, + -1, + 127063246, + -1, + 199092126, + -1, + -1, + 206818268, + 256557359, + 704816075, + -1, + 741676008, + 685377855, + -1, + 474732525, + 949109928, + -1, + 678436678, + -1, + 294318520, + 757552169, + 797748592, + 893741782, + 644554985, + 447740227, + 225967047, + 371624052, + 96103668, + 988391958, + 209947038, + 256182410, + 590119033, + 805533469, + 898688691, + 292672273, + 136131719, + -1, + -1, + 415888819, + 953721264, + 154080472, + 990228341, + 26784963, + 461062387, + 236089184, + 435314942, + -1, + 595120499, + 320172628, + 557381512, + -1, + -1, + -1, + 691572659, + 786855616, + 939425932, + -1, + 135530516, + 366138791, + 91564554, + 491221407, + 78150024, + 650583800, + -1, + -1, + -1, + -1, + 379186642, + 239147878, + -1, + -1, + 249871188, + 982707694, + -1, + 303349047, + 994708361, + 509199682, + 610087589, + 514929851, + -1, + 707047166, + 250198874, + 328598499, + -1, + -1, + 128154328, + 47720491, + -1, + 992440588, + 660832643, + 527224233, + 749423739, + 990509344, + -1, + 57567449, + 373186925, + -1, + 299888326, + 756137787, + 745374408, + 618374011, + -1, + -1, + -1, + 35335286, + 970238860, + -1, + -1, + -1, + -1, + -1, + 458103215, + -1, + 531005511, + 90890190, + 732841470, + 910230702, + 157681007, + 38718335, + 742620518, + 438786602, + 23278447, + -1, + 788600646, + 28481059, + 11773071, + 613266828, + 318442688, + 273000468, + -1, + 712719420, + -1, + -1, + -1, + -1, + -1, + -1, + 920861239, + 317157822, + 483839298, + 277383564, + -1, + 796674101, + 509637537, + 929851729, + -1, + 231746398, + 348433751, + 314763335, + -1, + 329193084, + -1, + -1, + 378454985, + -1, + 256890141, + 182200835, + -1, + 960865568, + 560965292, + 303173430, + -1, + -1, + 646873201, + 906748265, + 120114497, + 974158801, + 941856430, + 477377126, + 147046885, + 619347391, + 588447318, + -1, + 436505618, + -1, + 364764053, + 547276559, + -1, + -1, + 313241378, + 407672089, + -1, + 54586508, + -1, + -1, + 537608821, + 259914125, + -1, + 331313478, + -1, + 116977488, + 911425639, + 648063739, + 615251940, + 706203459, + 227196848, + 234587512, + -1, + -1, + 272908233, + 252016740, + -1, + -1, + -1, + 281593934, + -1, + 131091630, + -1, + -1, + 450308975, + 293541223, + 412344638, + -1, + -1, + 989979525, + 283218957, + 526183745, + 185522750, + 180396365, + 860932785, + -1, + 275701355, + -1, + 843563287, + -1, + 949112354, + 60638215, + 494741734, + -1, + -1, + 771376938, + -1, + 706513270, + -1, + 842234669, + 818510447, + 47867005, + 6669647, + -1, + 306410968, + 815876715, + 779150370, + 6967638, + 372642669, + 160924719, + 956469301, + 526832632, + 284473045, + -1, + 755255973, + 139142941, + 928146350, + 845810963, + -1, + 305512306, + -1, + -1, + -1, + 693727254, + -1, + 531703008, + 740881484, + -1, + 239752530, + 496304192, + 951329618, + 253194939, + -1, + -1, + 644914135, + 872272200, + 550629269, + 965101178, + 674836468, + -1, + -1, + 676280162, + -1, + 556628617, + 429145885, + 610737102, + 476293234, + 764982776, + 287449169, + -1, + 405099960, + 577404077, + 441239405, + 524792016, + 859001093, + -1, + 825845464, + 766338823, + 819462522, + 993291823, + 889240565, + 856307086, + -1, + 228918306, + -1, + 102786776, + -1, + 111770573, + 883252643, + -1, + 42102392, + -1, + 774528820, + 128440603, + 460426179, + 838835612, + 432174736, + -1, + 89350427, + 61593150, + 73274883, + -1, + 348772074, + 888342222, + 321201026, + 242841912, + 94280782, + 190472097, + 878343617, + -1, + -1, + 332784098, + -1, + 875900456, + 478232485, + -1, + 722726551, + 811320218, + -1, + 748753210, + -1, + 891892561, + 740167156, + 667344435, + 879277517, + 115809703, + -1, + 737335567, + 814346255, + 115766597, + 178751129, + -1, + -1, + -1, + 98821646, + -1, + 270562949, + 294292422, + 687130280, + -1, + -1, + 604840887, + -1, + 541368335, + 211836132, + -1, + 911710848, + 847743212, + 195512828, + 260280320, + 663331549, + 185634168, + 505292049, + 98335688, + 273216716, + -1, + -1, + 383964247, + 324139757, + 858198353, + 997965553, + -1, + 305689223, + 593486424, + -1, + 683599974, + 908941459, + 632248751, + -1, + -1, + 784712227, + 663089009, + 848875305, + 69472402, + 630148468, + 856698995, + 70653237, + 677200140, + 397211703, + -1, + 689887702, + 624278728, + 443833639, + -1, + -1, + -1, + 681201333, + -1, + 703185325, + 664029115, + 449983450, + -1, + -1, + 832274615, + 249908387, + 248053712, + -1, + 194612491, + 302373054, + -1, + -1, + 120568019, + 555743798, + 843649324, + -1, + 340284778, + 330543629, + 29872945, + 619551398, + 428509734, + -1, + -1, + 311308236, + 808967767, + 527096728, + 325315769, + 466475353, + -1, + -1, + 790558450, + 200881265, + 956229123, + 234600215, + -1, + 863641810, + 698473872, + -1, + 188608075, + 640794203, + 96945412, + -1, + 951776027, + -1, + 1938476, + 226496675, + 653000210, + 573079181, + 267318255, + 589780970, + 221567882, + 588244403, + -1, + 639880864, + 652032192, + 823485021, + 662038748, + 762054987, + -1, + 691457686, + 568374139, + -1, + 91396936, + -1, + 195181355, + -1, + 378128560, + 278919346, + 736897871, + 844510764, + 865231007, + 712732076, + -1, + 117011876, + 900269074, + 48634420, + 361201880, + -1, + 431894776, + 440452957, + 317189171, + -1, + 858188290, + 709312010, + 42722126, + 552130133, + 913292336, + 584562451, + 112521855, + 509617779, + 988458206, + -1, + 788676201, + 729272504, + 860793633, + -1, + -1, + 478905813, + -1, + 694565322, + -1, + 791980958, + 810514565, + 858380844, + 391293751, + -1, + -1, + 409851648, + 194798971, + -1, + -1, + 388626199, + 358605966, + -1, + 252383799, + -1, + 168587025, + 873764867, + -1, + -1, + -1, + -1, + 70161909, + -1, + 583475813, + 537794628, + -1, + 595563973, + 863522157, + 621033530, + -1, + 400841085, + 570302322, + -1, + 758730025, + 377463523, + 40606064, + 77449478, + -1, + 344241552, + 591527448, + 996367917, + 953832744, + 736715916, + 417424706, + 667117342, + -1, + 556400775, + 602629847, + -1, + -1, + 428661590, + 512165926, + 89642440, + 854654438, + -1, + 124386588, + 885781173, + -1, + 787320452, + -1, + -1, + 526463127, + 886657422, + 523382733, + 202785968, + -1, + -1, + 811040764, + 725730447, + 416514146, + 276534798, + 823931541, + 801956224, + 387433404, + 765503646, + -1, + -1, + 752010663, + 177806365, + -1, + -1, + 752155731, + -1, + -1, + -1, + 969485555, + 471761467, + 544100711, + 256690117, + 159193424, + -1, + -1, + -1, + 33977159, + 292428246, + 879122413, + 636091251, + 705067670, + 148689831, + -1, + -1, + 688285490, + -1, + 32293821, + -1, + 495292076, + -1, + 639299593, + -1, + 391358644, + 175702897, + 410327193, + -1, + 353288458, + 997735627, + -1, + -1, + 783072954, + -1, + 228047159, + 193999161, + 66691671, + 673194530, + 332202828, + 240635500, + 526541435, + 5161056, + -1, + 527474844, + 994054230, + -1, + 532625965, + 24681852, + 261430795, + 918132585, + 321634760, + 248059017, + 279725403, + 781197586, + 601177302, + 119662659, + 544775063, + -1, + 388672745, + -1, + -1, + 558535099, + -1, + 708159948, + 312391251, + 330730146, + -1, + 73535299, + 2203456, + 558252726, + 918087972, + 817655156, + 727982758, + 152133883, + -1, + 883834453, + 891307428, + 744130292, + -1, + -1, + 108637964, + -1, + -1, + -1, + 888697085, + -1, + -1, + 797703693, + 367629641, + 110048579, + 107465735, + 199931027, + 273977884, + 418156987, + 698613312, + 12743145, + 14552552, + 698607880, + -1, + -1, + -1, + -1, + 706688664, + 129881521, + 278744941, + 446357034, + 39472234, + 525405556, + -1, + 184460179, + -1, + 594732859, + 768969278, + -1, + 224520832, + -1, + 157119772, + 964523228, + 209290688, + 647074898, + 376443261, + -1, + 865062326, + 374484880, + 542820997, + -1, + -1, + 385188122, + -1, + 602504672, + 725144745, + -1, + 175091878, + 432507346, + 370440745, + 663288169, + -1, + 812567228, + 456167144, + 969744247, + 681771572, + -1, + 941021221, + 990960199, + 324330354, + -1, + 719500109, + 651275181, + 562182298, + -1, + 776540101, + 33282740, + -1, + 335610403, + -1, + 673587923, + -1, + 721049555, + 508761144, + 63667655, + 484871097, + 9754360, + 541038674, + 879899066, + 109074822, + 682656646, + 764357562, + 853061369, + 496062436, + -1, + 581770996, + 370138314, + 217711289, + 128334042, + -1, + 727163039, + 585191582, + 617703042, + 50188458, + 929881616, + 74297044, + 921620163, + 127765073, + -1, + 678215017, + -1, + 194889121, + 409064347, + 330130579, + 439331705, + 80340636, + -1, + 667266764, + 937150447, + -1, + 186967556, + -1, + -1, + 552712543, + 331311258, + 146315680, + 651954249, + 144341638, + 673190601, + 951913996, + 832081088, + 258114468, + 538966144, + 434163285, + 487319053, + 256128229, + 710661137, + -1, + 2598853, + 981779953, + 92613821, + -1, + -1, + 903200256, + 405292575, + 951232048, + -1, + 772489447, + -1, + 710457526, + 731501420, + -1, + 213351229, + 70793344, + 656460660, + 108975162, + 268202329, + 25324895, + 790280405, + 262937795, + 377469274, + -1, + 789778141, + 49795243, + -1, + 20708664, + -1, + 610286278, + 259205740, + -1, + -1, + 591151365, + 422035448, + 666980349, + 918835892, + 459916470, + 139333429, + 467524737, + -1, + 359448495, + 421089328, + -1, + 602305013, + 945891233, + 967750710, + -1, + 812628991, + 951140566, + 757184668, + 255774246, + -1, + 29699062, + 614264225, + 855421904, + 961312664, + 611544827, + 134254966, + 492460180, + 452051055, + 966865643, + -1, + -1, + 945319814, + 486268200, + 774169811, + 939639866, + -1, + 91390492, + -1, + -1, + 125235954, + 131260051, + 409999578, + -1, + 103429664, + -1, + -1, + 82517011, + 446766411, + -1, + 673405107, + 14544100, + 814269800, + 427224830, + 147976329, + 350180833, + -1, + -1, + -1, + 419836353, + 297345290, + -1, + 606375489, + 238733936, + 390243601, + -1, + 332098089, + 323146366, + 719430385, + 728402916, + 220415691, + 19801599, + 440673064, + -1, + 34916694, + -1, + 409248427, + -1, + 583690644, + 201618167, + 858604560, + 219807040, + 211699296, + 653697981, + 964330779, + -1, + 976857721, + -1, + 805727843, + 159368559, + 76026056, + 132151071, + -1, + 672897758, + 669491815, + 28692107, + 153322893, + 955225586, + -1, + 124506319, + 956615220, + -1, + -1, + -1, + 530955262, + -1, + 731272458, + 283664029, + 732244638, + 165458799, + 129765348, + -1, + -1, + -1, + 267871428, + 952457577, + -1, + 452959123, + 531482434, + 587612156, + 555019139, + 550728719, + 812085285, + -1, + 119912617, + -1, + 483900429, + -1, + 371695676, + 134337567, + 229669793, + 904763368, + 282560627, + 156122431, + 561212996, + 444905954, + 976034721, + -1, + -1, + -1, + 961827629, + 585027087, + 797815785, + 96817387, + -1, + -1, + 186083452, + 607108920, + 89961150, + 123388544, + 904942809, + 263052765, + 974676820, + 342794454, + 586150114, + -1, + -1, + 378940534, + 664590923, + 942947750, + 87651896, + -1, + 793869061, + 87127768, + 462677392, + 244757919, + -1, + 46686387, + -1, + -1, + 791559712, + -1, + -1, + 723131462, + 292785064, + 291820923, + 838223670, + 695036800, + 824194940, + 934625812, + 216338844, + 284698489, + 859292881, + 775159808, + 358058369, + 643011744, + 261001590, + -1, + -1, + 192875993, + 460015600, + 602956568, + -1, + 305156712, + 814973940, + 740256908, + 342539582, + -1, + -1, + 129860608, + 750447330, + -1, + -1, + 862597389, + 573486066, + -1, + -1, + 462003503, + 460898597, + 14450676, + 649845097, + -1, + -1, + 367346943, + 229523376, + 603951412, + 490273709, + -1, + -1, + 402622298, + 302596399, + 350479883, + 409458110, + 987667385, + -1, + -1, + 976249753, + 22758314, + -1, + 688063244, + -1, + 679787970, + 689655291, + -1, + 411233017, + 966943137, + 539289593, + 298529758, + 950204883, + 835584659, + 796770477, + 669777717, + 942984497, + 851268368, + 79055045, + 141923091, + 135417156, + 434313387, + 115678086, + 283821415, + 398582422, + 58391327, + 334059942, + 984960551, + 866333322, + 96386711, + 8756464, + 103264060, + 154000727, + 28752769, + -1, + 512884488, + -1, + -1, + 860232474, + -1, + -1, + 965789759, + 174238937, + 578002169, + 658433796, + 436866551, + 223660899, + 951639522, + -1, + 776999511, + -1, + 776542137, + 812037122, + 732955606, + 139890010, + 505171823, + 935154832, + 245335150, + 638378250, + 722065971, + 420054111, + -1, + -1, + 941693163, + -1, + -1, + 368483092, + -1, + -1, + 136950504, + 507640161, + 477727401, + -1, + 213957892, + -1, + 915897951, + -1, + 907149427, + -1, + 22687798, + 755419197, + 324677013, + 200709302, + -1, + 63295306, + 347500513, + 762104195, + 501440581, + -1, + 505757574, + -1, + -1, + 942635776, + 847859554, + -1, + 610037153, + 16112151, + 299124679, + 658349756, + 291693506, + 358762891, + 635604701, + 522013157, + 276394917, + 344413839, + 169007563, + 830631951, + 148988308, + 597057269, + 576714559, + 162103758, + 128782907, + -1, + 492915628, + 448982311, + 296959451, + 341559130, + 703713040, + 687250920, + 931980629, + 489408042, + -1, + 436267858, + 680640604, + 555533751, + 143930131, + 849372360, + -1, + 71966298, + 998518107, + 913739239, + 654822197, + -1, + 321850054, + -1, + 832198860, + 696849880, + -1, + 682032763, + -1, + 926327212, + 472026821, + 476106919, + 956745690, + -1, + 989266779, + 696176720, + 435668207, + 907321892, + -1, + 183968668, + 196904866, + 995142801, + 62211656, + -1, + -1, + -1, + 931606597, + 59849959, + 632167448, + -1, + 866498759, + 437101796, + -1, + 376945083, + -1, + 557279943, + -1, + 778095518, + 432215982, + -1, + 259219226, + 369722842, + -1, + -1, + -1, + 63069921, + 936236682, + 132621267, + 846736667, + -1, + 864850756, + 982615856, + -1, + 896252357, + 25711670, + 681072116, + -1, + 168029343, + 425312075, + 210609769, + 518645265, + 241348125, + 154054598, + 179245938, + 88501044, + 409489571, + 341274326, + -1, + 228183519, + 549674072, + 873389716, + 669615741, + 874534760, + 679140833, + 985171732, + 958673629, + 90425737, + -1, + 450442940, + 377360975, + 769384065, + -1, + 983129947, + -1, + 225645310, + 411092929, + 627587888, + 91905820, + 993108425, + 801278767, + -1, + -1, + -1, + 679569644, + 935809726, + -1, + -1, + -1, + -1, + 826954684, + 611821246, + -1, + -1, + 150820387, + 14616140, + -1, + 546949734, + 852259649, + 457895328, + 625299943, + 381181662, + 487335140, + 868550989, + -1, + 46916954, + -1, + -1, + 925006023, + 480534695, + 197108683, + 468719315, + -1, + 299591936, + -1, + 452276798, + 316948355, + -1, + 981498335, + 308212441, + 544662430, + -1, + 181152060, + 399690804, + 697842654, + 641369614, + -1, + 393986602, + 310823289, + 928482314, + 406992519, + 935687081, + -1, + 963007628, + 202556058, + 962855620, + -1, + 912146348, + -1, + 818693939, + -1, + -1, + 175900478, + -1, + -1, + 258174108, + 625774802, + 414653490, + 30500827, + 230091564, + 73218290, + 737210308, + 557991028, + -1, + 888817395, + -1, + 610668908, + -1, + 217727938, + -1, + -1, + -1, + 738183191, + -1, + -1, + -1, + 433823292, + -1, + 412990529, + 488290748, + 810206889, + -1, + 492140669, + -1, + 240863935, + -1, + -1, + 377450861, + 435531568, + -1, + -1, + 223930908, + 840720439, + -1, + 554590720, + 431437810, + 469675799, + -1, + 115558142, + 317592935, + -1, + 693210377, + -1, + 54722108, + 718908958, + 341964402, + -1, + 863881117, + 646726066, + 313442521, + 878598789, + -1, + 799721483, + -1, + 460021601, + -1, + -1, + 353168105, + -1, + 707881385, + 837759527, + 963497765, + 961291189, + -1, + 630902692, + 50122141, + 806338244, + 785046091, + 943341717, + 548852555, + -1, + 141253561, + -1, + -1, + 135049137, + 621941609, + 606704934, + 176893829, + 440340780, + -1, + 541270066, + -1, + -1, + -1, + 602244408, + -1, + 555145356, + 794310275, + 946574587, + 961998311, + -1, + 735002204, + 936521141, + -1, + 224148295, + 847123964, + 285806349, + -1, + -1, + 575937106, + -1, + 716274273, + 681817106, + 667942694, + 957078693, + -1, + -1, + 236006629, + 808548395, + 912058991, + 220867842, + -1, + 860504426, + 38144349, + 695063826, + -1, + -1, + -1, + 218872980, + -1, + 526619780, + -1, + 287196608, + 299185574, + -1, + 743474309, + 631370571, + 538449224, + -1, + 617399150, + 6569389, + 132262004, + 163903153, + -1, + -1, + 441028681, + 711130828, + 586338280, + 194292399, + 923323160, + -1, + -1, + 750652778, + -1, + 614775610, + -1, + 623382870, + 778409869, + 422759576, + -1, + 700873514, + 168252171, + 162138097, + 975396858, + 583912382, + -1, + -1, + 29726082, + -1, + -1, + 655133684, + 677313057, + -1, + 698267631, + 891326098, + 443349206, + 987969645, + -1, + 739856207, + 949878130, + 759096717, + 506376300, + 305201632, + 646448889, + 669401094, + -1, + 215927498, + -1, + -1, + 81958772, + 214174068, + 12528641, + -1, + 692842546, + 649856196, + -1, + 540270948, + 667260831, + 76104568, + 424922153, + -1, + 614065395, + 269832296, + -1, + 471509686, + -1, + -1, + 407402342, + -1, + 896817580, + 652817076, + 337807247, + 46381756, + -1, + -1, + 869824864, + 90440130, + -1, + 507492848, + 164335975, + 648204666, + 743800522, + -1, + 238688938, + -1, + 924454961, + 390283126, + -1, + 137073942, + -1, + 145765752, + -1, + 331262916, + 799656062, + 555516613, + 505834151, + 67545280, + 246625299, + 196602130, + 815337201, + 102720489, + -1, + 490836220, + 69953812, + 727971870, + 604905501, + 355402008, + 438534187, + -1, + -1, + -1, + 20379991, + -1, + -1, + -1, + 512765276, + -1, + 169859866, + 425781792, + 39478919, + 808978728, + -1, + 725346547, + 37844493, + 613572307, + 162339908, + 392086069, + 636187924, + 886772381, + 784064144, + 896053730, + 98362068, + -1, + -1, + 393131368, + 141026198, + 953243112, + 850956772, + 767312129, + 674875824, + -1, + 423982365, + -1, + 548637685, + -1, + -1, + 377495185, + 879801627, + -1, + -1, + -1, + 376613118, + 628367504, + -1, + -1, + 289870332, + -1, + -1, + 209021265, + 690898093, + -1, + 890863096, + -1, + -1, + -1, + -1, + -1, + 185439399, + 90496575, + 381140456, + 321889496, + 480470242, + 348111710, + 206716141, + -1, + -1, + 325596855, + -1, + 342192610, + 223943935, + 244878971, + -1, + 513339203, + 554865455, + -1, + 147405629, + 778508962, + 785365485, + -1, + 942798049, + -1, + 676741554, + 558375690, + -1, + -1, + 135034237, + -1, + 370190742, + -1, + 206340781, + 422862333, + 965490124, + -1, + -1, + -1, + 115494421, + -1, + -1, + -1, + -1, + 800656426, + 785105246, + 80645201, + -1, + 722188907, + 562217454, + 39326066, + 333918676, + -1, + 403863192, + 872601042, + 359296673, + 497702617, + 209842818, + 67609378, + 665182167, + -1, + 749356410, + 102095609, + 465323889, + -1, + -1, + 576373715, + 282458188, + 115028248, + -1, + 299308706, + 314078070, + 606407505, + -1, + 910959165, + 913718539, + -1, + -1, + 625028683, + 41894384, + 165616893, + 316292969, + -1, + 710474229, + 91962426, + -1, + -1, + 352017175, + 233683409, + 703066660, + 589709860, + 668830673, + 393962215, + 537550853, + 415753419, + 405865499, + 745324255, + 534889899, + -1, + -1, + -1, + 266479104, + -1, + -1, + -1, + -1, + 55271123, + 115261704, + 891703490, + 33587609, + 796562517, + 703010016, + -1, + 535526761, + 134028640, + -1, + 941002505, + -1, + 582586672, + 302951262, + -1, + 944383947, + 330208099, + 875195293, + -1, + -1, + 573574826, + -1, + -1, + 345560471, + 520688896, + -1, + 725020206, + 697859064, + -1, + 248706740, + 948750506, + -1, + 494271050, + -1, + -1, + 550674391, + 566313046, + -1, + 901291633, + 997660345, + 459081633, + 917076413, + -1, + 896817235, + 367983527, + 538882087, + -1, + 742335463, + -1, + -1, + 288617912, + 523886964, + -1, + -1, + 74755199, + 395183072, + -1, + 52001610, + 780902207, + 249401034, + 978259482, + -1, + 863245975, + 783766702, + -1, + -1, + 582632382, + 521432608, + 489180370, + 624153302, + 679647211, + 478068325, + -1, + 69637645, + 863386592, + -1, + 615972015, + 493211243, + 727683929, + 879037012, + 876962250, + 49767931, + 288189862, + 618968613, + 724315380, + 992739240, + 448588287, + 652235351, + 583874574, + -1, + 542454209, + 814166079, + -1, + -1, + 290340764, + -1, + -1, + -1, + 908746972, + 900285774, + -1, + 514596086, + 567633183, + 504750160, + 448257549, + -1, + 515984626, + 807835681, + 758674702, + 465504632, + -1, + 932442942, + 411985446, + 400590013, + -1, + 82791948, + -1, + 187011339, + 847089508, + 570103468, + -1, + 509914430, + 451423029, + 660303058, + 851753789, + 267944190, + 766651131, + 895664860, + -1, + 617232259, + -1, + 412840380, + 830380722, + 21674036, + 518529723, + 693722437, + 520699712, + -1, + 872435906, + 629478416, + 458957980, + 62977893, + 485827729, + 612791745, + 129810834, + -1, + 955116879, + 665330665, + 69772136, + 863385618, + 576422343, + -1, + -1, + -1, + 62043794, + 874667448, + 47309278, + -1, + -1, + -1, + -1, + -1, + 755639151, + -1, + 409065275, + 29545889, + 582997463, + -1, + 906527116, + -1, + 568873624, + 947395145, + 369780100, + -1, + -1, + 962355496, + 401147419, + -1, + 655873636, + -1, + -1, + 807358631, + -1, + 489525818, + 931107010, + -1, + -1, + 214776040, + 965403349, + 946111061, + 774759483, + 799688369, + -1, + 963716522, + -1, + -1, + -1, + 115788011, + 209926240, + 886674515, + -1, + 96387221, + 628513106, + -1, + 783236881, + 651565469, + -1, + 165942244, + -1, + 896188766, + 974635557, + 69832510, + 668397938, + 406374, + 126167358, + 32122984, + 466068578, + -1, + -1, + 170173030, + 815990321, + -1, + -1, + 385619776, + -1, + 156612925, + 568267569, + 67641337, + -1, + 41685981, + -1, + 752697731, + 581149884, + 307893249, + 331346326, + 904667608, + -1, + 291678628, + -1, + -1, + -1, + 614884851, + 227176572, + 115920288, + 479168675, + 978688868, + 997252673, + 931778619, + -1, + 10738461, + 584943256, + -1, + 169877667, + 575193749, + -1, + -1, + -1, + -1, + 150642211, + 246684665, + 593539206, + -1, + 45177390, + 166858312, + 662852736, + 122779551, + 211358048, + -1, + 351881298, + -1, + 55847607, + 449049257, + 156879718, + -1, + 128386553, + 371735176, + 648968973, + 826698502, + 249073375, + 980751733, + 392097145, + 642244450, + 708976185, + 277980722, + 957939392, + -1, + 478410202, + -1, + -1, + -1, + 551424894, + 126670513, + -1, + 594641678, + -1, + 847129248, + 471138685, + -1, + 402216080, + 314856273, + 726610462, + 592498832, + -1, + 804106572, + 930168881, + 282203839, + -1, + 763359282, + -1, + 498733751, + -1, + 328590830, + 25351271, + -1, + -1, + -1, + 200886942, + -1, + 214130860, + -1, + 392488632, + 593441182, + 413433260, + 213225016, + -1, + 935701335, + 602000655, + 550057788, + 286749238, + 536211206, + 888649110, + 394022726, + 646543400, + -1, + 755871547, + 395794742, + 329199242, + 240789234, + -1, + 980851476, + 892282954, + -1, + 290261643, + -1, + 525542593, + 266574619, + 424094198, + -1, + -1, + 43936048, + 293823569, + 779830206, + -1, + -1, + -1, + 778534405, + 241555463, + 351010167, + -1, + -1, + 850423350, + 858246322, + -1, + -1, + 723355172, + 696860260, + -1, + 191982329, + -1, + 927835737, + -1, + 596343051, + -1, + -1, + 694671300, + 441472571, + 647898453, + 325251523, + 217033871, + -1, + 691129000, + 511008883, + -1, + 697537189, + 731577126, + -1, + -1, + 837344829, + 624542221, + -1, + -1, + 978034476, + -1, + 889812755, + 105852784, + 213647858, + 456043904, + 732439699, + 724205069, + 355475047, + -1, + 859650265, + 761319117, + 60796914, + 38432511, + -1, + -1, + -1, + 645379239, + -1, + -1, + 831432388, + 668043549, + 352527874, + 584532341, + -1, + -1, + 485657626, + -1, + 409810143, + 406937554, + -1, + 570324705, + 314100633, + -1, + 541540044, + 55842247, + 997842736, + 980168829, + 648277901, + 49631041, + 38077433, + 625431901, + 3984080, + 143525752, + 169914298, + 392856718, + -1, + 698977396, + 300432582, + 417317474, + 844244608, + -1, + 577904472, + 682329649, + -1, + 740232774, + 801921531, + -1, + -1, + 854522812, + 626661383, + 398182822, + 454676998, + 721886219, + 715644791, + -1, + -1, + -1, + 738402542, + 828021305, + 417468107, + 481629196, + 64217168, + -1, + 71279352, + 698446999, + -1, + 449969634, + 572679791, + -1, + -1, + 513311061, + 571085514, + 119217783, + 173112434, + 637847737, + 65445520, + -1, + 166683512, + 956186074, + -1, + -1, + -1, + 572690083, + 961479287, + 877578400, + -1, + 183160842, + 391284462, + 886302002, + 412274883, + 437918010, + 5630323, + 559218516, + 704977933, + 369250421, + 22769335, + 221090043, + -1, + -1, + 367999542, + 165632310, + 575855261, + 517801632, + 22734165, + -1, + 632665353, + 482249662, + 531447638, + -1, + -1, + 337782494, + 645142216, + -1, + 560956570, + 771268484, + 832111484, + -1, + -1, + 457801992, + -1, + 619660534, + -1, + 298180609, + 820796224, + 642288473, + -1, + 398159248, + -1, + -1, + 191189758, + 752610215, + 594641599, + 355547488, + -1, + -1, + -1, + -1, + -1, + -1, + 377493311, + -1, + 958590771, + 606800127, + 215039319, + 710744681, + 824578369, + 75013107, + -1, + 40190855, + 978516291, + 531212422, + 875235671, + -1, + 249597924, + -1, + 647842724, + -1, + -1, + -1, + 983643280, + -1, + -1, + 335175453, + 106706690, + 22395540, + -1, + -1, + 440573456, + 889536660, + 247551134, + -1, + 368669588, + 375081580, + 233667011, + -1, + -1, + 807389602, + 327837640, + 583161670, + 605012961, + 983512961, + -1, + 623235549, + 681287549, + 667645664, + -1, + -1, + 202886265, + -1, + 118132230, + -1, + 256298405, + -1, + 49088228, + 17276220, + -1, + 540136440, + -1, + 189518425, + -1, + 75957257, + 167077019, + 701902599, + 805164352, + -1, + 290909232, + 520304923, + -1, + 726283233, + 155680788, + -1, + -1, + 623885562, + 20321917, + 238199708, + -1, + -1, + -1, + 159042150, + 854265491, + -1, + -1, + -1, + -1, + 649669501, + -1, + 50974759, + 507175497, + 109702167, + 44936084, + 545617937, + 319701343, + -1, + -1, + 601890111, + -1, + 674379199, + 17698045, + -1, + -1, + 516437772, + -1, + -1, + 840414222, + -1, + 10446329, + 986875299, + 115976764, + 480294427, + 798840083, + 679003051, + 992416528, + 135372623, + 820431456, + 792608612, + 769746556, + 874918591, + 740226005, + 683142052, + 92880084, + 199279385, + 125454774, + -1, + 899969206, + -1, + -1, + 127743546, + -1, + 606551420, + 493204243, + -1, + 580549810, + 149958078, + -1, + -1, + 255507881, + 425496035, + -1, + -1, + -1, + 232714914, + 137922224, + -1, + -1, + 368388174, + 239001042, + 187084211, + -1, + -1, + 590124938, + 550164040, + 692202468, + -1, + 40872029, + 655952432, + 409092799, + -1, + -1, + -1, + 592623869, + 722047567, + -1, + 7755564, + 315363890, + 997583078, + 104770471, + -1, + -1, + 182498281, + -1, + 116164249, + 591419066, + 768452160, + 218417658, + 796143782, + 695148784, + 640953560, + 216866943, + -1, + -1, + -1, + 485075303, + 53907584, + -1, + 463584631, + 923472668, + -1, + 162509777, + 478776763, + -1, + 836599708, + -1, + 1152525, + 440768136, + -1, + -1, + 439643326, + 213968076, + -1, + 176050885, + 961434486, + 974458760, + -1, + 746407197, + -1, + 164844369, + -1, + -1, + -1, + 839983349, + 643328155, + 286095821, + -1, + -1, + -1, + -1, + -1, + 716404623, + 180923936, + 929938046, + 816415052, + -1, + 52527140, + 358622192, + 248381127, + -1, + -1, + 814266046, + 514427995, + -1, + 747955741, + 455676366, + 158491757, + 632342098, + 781245235, + 739701204, + -1, + 86364591, + 978735068, + 336804701, + 770134251, + 246920051, + 244065027, + 897108560, + -1, + 195065501, + 776168707, + 869643362, + 571028443, + 643851838, + 65335709, + 421848564, + -1, + 498364485, + -1, + 557044958, + 820133356, + -1, + 798575269, + 353358501, + 703951500, + -1, + 771748183, + 881175838, + -1, + 624830798, + 176235151, + 591616692, + 932686208, + -1, + -1, + 341084608, + -1, + -1, + 386401657, + 656446273, + -1, + -1, + 517984166, + -1, + -1, + -1, + 919764917, + 458942667, + -1, + -1, + 826056954, + 259187824, + -1, + -1, + -1, + 593300127, + 672290824, + 448032019, + 958023668, + -1, + -1, + -1, + -1, + 77924415, + -1, + -1, + 103513346, + 517104160, + -1, + 929929214, + 262338233, + 384037563, + -1, + 485389895, + 19046865, + 362749066, + 909914762, + -1, + -1, + 639316109, + -1, + 526578399, + -1, + 297987051, + 637935698, + 479481405, + -1, + 583688155, + 424133555, + -1, + -1, + -1, + 845746747, + -1, + 3671378, + 830145583, + 999542722, + 719036145, + 894592465, + 541853219, + 980876752, + 497514503, + 489046789, + 255649125, + 52528138, + 971999057, + 680076555, + 79980375, + 226968260, + -1, + 939771197, + 58369549, + -1, + -1, + 261213625, + 210227757, + 46361868, + 410365481, + 4826495, + 674659901, + 553093725, + 539108088, + 21118189, + 213785570, + 91694428, + -1, + 279576609, + 972255625, + 539661215, + 406519067, + 667268564, + 370855605, + 782941273, + 992393062, + -1, + 349184373, + -1, + 829341377, + 812458862, + -1, + -1, + 420520275, + -1, + 606652287, + 578326351, + 504394198, + 787946450, + 696248035, + 34564769, + 915619896, + -1, + 457951311, + -1, + 313877821, + 564045799, + 798945006, + 21656143, + -1, + -1, + 67190327, + -1, + 113841559, + -1, + -1, + 27636209, + 267965288, + 481601660, + -1, + 690328890, + -1, + 858473126, + 593095206, + -1, + -1, + 946569027, + -1, + 191606680, + 801724472, + -1, + -1, + 281717559, + -1, + 123297532, + 475215299, + 919732265, + -1, + 632202077, + 334687151, + 205923700, + 252077338, + -1, + -1, + 765592488, + -1, + 963117305, + 187192845, + 914352571, + -1, + 453025025, + 474052908, + 430411119, + 888228715, + 97680740, + 337944385, + 581578193, + -1, + 243484711, + 293672040, + 289867850, + 154859796, + 849775479, + 266383932, + 138712205, + 82912933, + -1, + -1, + 544372382, + 326969376, + 893320978, + 973394123, + -1, + -1, + 143067237, + 598456317, + -1, + 864735867, + 69548724, + 17511166, + 729648781, + 706566362, + 854015362, + 648524443, + 743285351, + 301071243, + 756542879, + 709836150, + 263603820, + 297030337, + 105986956, + -1, + 548070987, + -1, + 70597768, + 979600172, + 100256722, + -1, + 260969148, + 763056493, + 467817093, + -1, + -1, + 355303347, + 4924691, + 569167524, + 800304005, + -1, + 12551708, + 203214670, + 152881786, + 11747887, + -1, + 210869199, + 369634381, + -1, + 340023750, + -1, + -1, + 921840784, + -1, + -1, + -1, + 321242730, + 491861285, + -1, + -1, + 487574771, + -1, + 578915354, + -1, + -1, + 480731858, + -1, + 971720246, + -1, + 320560261, + 456257125, + 185068771, + 338963727, + -1, + 980430490, + 977697565, + 465850910, + 595274308, + -1, + 232543976, + 964157636, + -1, + 740180504, + 153149388, + -1, + 411128260, + 743856958, + 2529426, + 598099161, + -1, + 735915892, + 485277839, + 397326316, + 34209385, + -1, + 69324318, + 788535342, + 635648689, + 462014497, + -1, + 998311189, + 309771696, + -1, + 284464839, + -1, + 418176945, + -1, + -1, + 650457861, + 4785195, + 231670575, + -1, + 164795897, + 496024909, + -1, + -1, + 512064474, + -1, + 812864058, + 511999651, + 859338061, + -1, + 419276642, + 35006139, + -1, + 767456384, + 876668779, + 632124775, + 536414606, + 291281737, + 135968565, + -1, + 401769725, + -1, + 800726322, + -1, + 961994170, + 590299724, + 813199361, + 86323261, + 400100378, + 769170301, + 444778738, + -1, + 721735323, + 987237551, + 461739424, + 587770500, + 913969504, + 930534032, + -1, + 363630546, + 5329407, + 358131785, + -1, + 369487087, + 382892348, + 730703378, + -1, + 496573839, + -1, + 329376229, + 957053265, + -1, + 516451591, + -1, + 66486305, + 424600845, + -1, + 837492503, + -1, + -1, + -1, + 901938824, + -1, + -1, + 232602246, + 713463718, + -1, + 347178899, + -1, + 936245071, + 542739624, + -1, + -1, + 832987407, + 822651210, + 200760448, + 97504528, + 603705945, + 310696117, + 293205089, + -1, + 788774417, + 962155378, + 25665316, + 438207176, + 461059147, + 459631020, + 414568468, + 291060452, + 779927424, + 149044942, + 389229357, + -1, + 95655935, + 97661436, + 11401466, + 311228682, + 582818998, + -1, + 914536468, + 710408964, + 665617796, + -1, + 796413889, + -1, + -1, + -1, + -1, + -1, + 222053112, + 56191021, + 657337061, + 155170647, + -1, + 555888776, + -1, + 349919451, + -1, + -1, + -1, + 846648291, + 527203147, + 171502391, + -1, + -1, + -1, + 981994849, + 648635872, + 774377082, + 758935422, + -1, + -1, + 717287472, + 80962191, + 148870766, + -1, + 957922494, + 933154587, + 691920930, + -1, + 526303033, + 155370184, + 643672297, + 816656364, + 361721220, + 416660374, + -1, + 537209748, + 277521245, + 387543759, + -1, + 618780357, + -1, + 858443741, + -1, + -1, + 941586586, + 984086790, + 500040635, + 121626474, + 943803925, + 494372832, + 606553600, + 643186710, + 358496744, + 537393109, + 53642620, + 830169059, + 413181311, + 265292898, + 13737213, + 876940593, + -1, + -1, + 606219420, + 994491733, + 342153864, + 878995122, + -1, + -1, + 583558285, + 395817256, + 389015259, + 69903445, + 482495224, + 61817310, + 412010481, + 87827161, + 632095631, + -1, + 906201443, + 98894816, + 805104199, + 369425429, + -1, + 411976577, + 935296675, + -1, + 325663604, + -1, + 856809646, + -1, + -1, + 152301639, + 339063026, + -1, + 817816002, + -1, + 432417735, + 814552682, + 919222614, + -1, + -1, + 769822359, + -1, + -1, + 151125735, + 798705182, + 259290996, + -1, + 487485373, + 271381842, + -1, + 924135635, + 14676317, + 368330197, + 530733709, + 33252059, + -1, + -1, + 697742967, + 966035202, + 233919543, + -1, + 900535532, + -1, + 888700006, + 163077949, + 98239433, + -1, + 161641208, + 931573619, + 812590943, + 152014989, + 136003177, + 300192124, + 201978939, + 58646120, + -1, + -1, + -1, + 417992739, + 934821972, + 633103260, + 356769451, + -1, + -1, + -1, + 626214793, + 347857121, + 723414711, + 612686342, + 181949301, + 164197361, + -1, + 665750813, + 768155847, + 394190227, + 519850214, + 302817270, + 285879128, + 329674479, + -1, + 338633884, + -1, + 114758059, + 752469275, + 868448541, + 187794746, + 288041040, + 158780411, + -1, + -1, + 421585894, + 177651480, + 642006976, + -1, + 344487715, + 577596757, + 55209536, + 75005063, + 555856688, + 925745188, + -1, + -1, + 908150349, + 334484019, + -1, + 548714228, + 232652346, + 90644776, + 918786526, + 968304942, + 896151933, + 510624432, + 141186676, + -1, + -1, + -1, + -1, + 245546965, + 102634946, + -1, + 976794384, + 708897561, + -1, + 189274338, + 65228509, + 902704813, + -1, + -1, + 783898538, + -1, + 592447739, + -1, + 46063220, + -1, + 203080225, + -1, + 918801641, + 889454583, + 576811591, + 876109400, + 588639128, + 589334838, + 845594041, + -1, + 520457608, + 573965895, + 154704735, + -1, + 680669038, + -1, + 84812937, + 574894771, + 871288992, + 204994042, + -1, + 592524903, + -1, + 784181062, + 978079907, + 400371539, + -1, + -1, + -1, + 15369797, + -1, + 709093618, + 88682284, + -1, + 608282852, + 730991243, + 403490010, + 705798124, + 688092175, + 359979962, + 862473925, + 967624762, + -1, + 877382349, + 855032509, + 269180221, + 19022802, + 169819747, + 216689041, + 293051602, + 332335505, + 720663688, + 686331683, + -1, + -1, + 101399294, + -1, + 847081642, + 824020807, + -1, + -1, + 667176673, + 807925629, + 558195193, + 938769168, + 592366655, + 170575215, + -1, + -1, + 787758285, + 510532373, + 799212980, + 42276858, + 876420177, + 613048030, + 824636474, + 462791196, + -1, + 402009756, + 648688805, + 930688928, + -1, + -1, + 970182669, + -1, + 906225001, + -1, + 919547453, + -1, + -1, + -1, + 9910181, + 912220225, + 929923950, + 795599735, + 779625367, + 501620216, + 222349055, + 864750954, + 902724767, + 468569065, + 108699091, + 958225308, + 435179319, + -1, + -1, + 247502455, + 445304920, + -1, + 318383669, + 778065085, + -1, + 400408465, + 80234484, + 536957304, + 156840584, + -1, + 271748590, + 904406256, + 272151835, + 70834293, + 493945368, + -1, + 310940844, + 328754903, + 712374652, + 403982669, + -1, + 213892006, + -1, + 475152941, + 39217140, + 220517805, + -1, + 527582517, + 581004440, + 939121443, + -1, + 457415793, + -1, + -1, + 542920749, + 679266623, + 17107221, + -1, + -1, + 148098300, + 304438434, + 264481040, + -1, + 6544073, + 822222684, + 367759970, + -1, + 677727550, + 895876892, + -1, + 268703600, + 471508320, + -1, + -1, + 948862871, + 552679655, + 222114757, + -1, + -1, + -1, + 671267544, + 895788946, + 231346502, + -1, + 379088855, + -1, + 950666240, + -1, + 918700710, + 155360105, + 935693287, + -1, + -1, + -1, + 228842115, + 79276932, + 497065951, + 467029472, + 677544661, + 412393365, + 381159147, + 233569204, + -1, + -1, + 513280773, + 588461658, + 606528145, + 790189768, + 848116902, + -1, + 768061219, + 381921643, + 365818046, + -1, + 684877212, + -1, + -1, + -1, + 762042432, + 986771134, + 236439998, + -1, + 895109436, + 516163140, + 323270274, + 291385271, + 832484529, + 870604626, + -1, + 7569055, + 399694719, + 596704714, + 959583161, + 86392125, + 656095723, + 505182837, + 781947063, + 114979292, + 437654562, + 953551611, + -1, + -1, + 762220550, + -1, + 429764145, + 598093445, + 869505900, + 770514738, + 654750927, + 475243409, + -1, + 914716049, + 674758963, + 999959503, + -1, + 144563309, + 808938760, + 704300217, + 889911184, + -1, + 570360804, + 366236124, + 237880315, + 887645550, + 802038012, + 820169436, + 533917451, + 522335254, + 127825665, + -1, + -1, + 295516144, + 69765971, + 688346703, + 196132091, + -1, + 517786627, + 815932062, + 238304500, + 373300975, + 504482477, + 223520561, + -1, + 431053828, + 550951189, + 518531858, + -1, + 200166182, + 796598628, + -1, + 190305674, + -1, + 881218791, + 353589528, + -1, + 62295487, + -1, + 565561570, + 840304016, + -1, + 16619156, + 81913788, + -1, + 751133541, + 692409497, + 660423219, + -1, + 765654396, + 612793130, + -1, + 964123115, + 350015424, + 104524966, + 130613199, + 671853989, + 822543679, + 249095478, + 1980798, + 745435549, + 320237880, + 976688672, + 678509189, + 875177984, + 898702622, + -1, + 67791369, + 608820925, + 954209782, + 467880424, + 176427891, + 124792351, + 357644014, + -1, + 103397105, + 1110344, + 359512844, + 250495573, + 438217136, + -1, + 5999458, + 737535031, + 153663683, + 425932254, + 173971939, + -1, + 392091945, + 762682037, + 387588958, + 500887154, + 605319883, + 833420713, + 990789389, + 402051117, + -1, + 980897712, + 19577155, + 416624173, + -1, + 316025557, + 615786890, + 337754391, + 625595954, + -1, + -1, + 850846188, + -1, + 614988047, + -1, + 962846135, + -1, + 348013296, + 271904058, + 884265924, + 885467624, + 152878380, + 626160255, + 892205789, + 256469747, + 709981601, + -1, + -1, + 538387226, + 657642454, + 727415892, + 805810694, + 72072474, + 190685048, + -1, + 457868104, + 900428169, + 545514418, + -1, + -1, + 168639802, + 979160911, + -1, + -1, + 456444034, + 36855978, + 448661317, + 957124677, + 30447182, + -1, + 138581871, + -1, + 290506411, + 211966848, + -1, + 430279226, + -1, + -1, + -1, + 536598074, + 412659204, + 462382343, + 436048480, + 12384328, + 289487371, + 941598650, + -1, + 104948711, + 762455995, + -1, + 110264854, + -1, + 111455111, + -1, + -1, + 646369572, + 588143358, + 727187020, + -1, + 816043667, + 698059003, + -1, + 288931725, + -1, + -1, + 875656921, + 498605813, + 513992840, + -1, + 875961069, + 682995390, + 353086902, + 38138945, + 547852267, + 835684912, + 951122685, + 936542731, + -1, + 177421338, + -1, + 483106116, + 494930583, + 139248372, + 974545052, + -1, + 274488204, + -1, + 276937462, + -1, + 913700403, + 607230408, + 987035503, + 345146145, + -1, + 160197974, + 541902916, + 778122645, + -1, + 881378397, + 522299066, + 366714685, + -1, + 444922173, + -1, + 216254941, + 343697218, + 626289530, + 435263112, + -1, + -1, + 231913787, + 621363187, + 861600607, + 402126817, + 996431534, + 76324132, + 343854128, + 236624236, + -1, + 416148568, + 286487557, + -1, + -1, + 315923998, + 784346040, + -1, + 273246467, + 111824144, + -1, + 197857146, + 537315412, + -1, + -1, + -1, + 576826566, + -1, + -1, + 861466614, + 271227720, + -1, + -1, + -1, + 586908860, + 283723960, + -1, + 890178042, + 987356036, + 878711174, + -1, + 526261008, + -1, + -1, + 261829567, + -1, + 144038676, + 648480096, + 542809753, + 538343449, + 36757219, + 392411114, + -1, + 467890844, + 747982663, + 653263551, + 469720200, + 488742147, + 794561306, + -1, + 320166587, + 293756922, + 52827399, + 819729206, + 12182822, + 14196364, + 168559736, + 322473732, + 535327552, + -1, + 521444875, + -1, + 170669354, + 828040498, + 733711848, + 941299153, + 983745786, + 432544160, + 590843597, + -1, + 72916302, + 920468588, + 890626000, + 335007419, + -1, + -1, + 829011641, + 865002794, + -1, + -1, + 551380748, + -1, + 209472356, + 188124546, + 485410041, + 213868799, + -1, + -1, + -1, + 200610862, + 190053360, + 818613214, + -1, + 319366741, + -1, + 655994717, + -1, + 592247098, + 977951790, + -1, + 797813954, + -1, + -1, + -1, + 863461744, + 991082309, + 217993920, + 273968876, + 49862175, + -1, + 703307873, + 409517805, + 864664345, + 954430176, + 245835465, + -1, + -1, + 499001866, + 224253407, + -1, + 633322430, + 277922764, + 505754971, + 950451967, + -1, + -1, + 593602945, + 691371943, + 695566827, + 863358958, + 567246768, + 557693248, + -1, + 862093247, + -1, + -1, + -1, + -1, + 103579670, + -1, + 433710894, + 124771497, + 894640548, + 572730003, + 511219112, + 776937289, + 46451530, + -1, + 368640355, + 480778152, + 88586945, + 943933924, + 887055144, + 86934809, + 39688448, + -1, + 146502881, + 819191969, + 358176964, + -1, + 353781622, + 516148789, + 200772840, + -1, + 198922799, + 933632002, + 473804973, + 747689688, + -1, + 340207615, + -1, + 608979201, + -1, + 695289911, + 60568666, + -1, + -1, + -1, + 177533286, + -1, + 773375916, + 656288577, + -1, + 161385763, + 586918416, + -1, + 809201670, + -1, + 794212563, + 345675832, + 567341837, + -1, + 878417660, + 759042124, + 230067599, + 779471224, + -1, + 198002316, + 356029194, + -1, + -1, + -1, + 633612471, + 107567486, + 262443878, + 713472327, + 809359241, + 102091023, + 913414186, + 825030733, + 700718192, + -1, + 131785876, + -1, + 177390350, + 641768174, + 831984328, + 553807665, + 924072261, + 962717276, + 602508363, + 444769264, + -1, + 935738622, + 879346263, + 509207664, + 263768652, + 9015526, + -1, + 651204947, + -1, + 440531283, + -1, + 716544051, + 215200687, + 455438784, + -1, + 305071097, + 642119447, + 313369837, + -1, + 711113002, + 359860711, + 728793145, + 855305202, + 342056386, + 277875025, + 33406525, + -1, + 663649136, + 819747285, + 437228537, + 359995542, + -1, + 409177057, + -1, + -1, + 830261194, + -1, + -1, + 645162794, + -1, + 401702154, + 708847169, + 213909180, + 824502195, + 93512868, + 479340089, + -1, + 737621065, + -1, + 474515549, + 915962483, + -1, + 988935849, + 932342544, + -1, + 270303142, + -1, + 35731623, + 847645579, + 230440103, + 213864900, + -1, + 276276919, + -1, + -1, + -1, + 553285839, + 272222338, + 599762615, + 904616828, + 430050230, + -1, + -1, + 831072831, + 813902986, + -1, + -1, + -1, + 984876727, + 708801883, + 798766949, + 925756182, + -1, + -1, + 928858799, + 132575885, + 192895404, + 643385674, + 231207453, + 264328484, + 387675044, + 826973219, + 479895293, + 560735523, + -1, + 943217926, + 202778912, + -1, + -1, + 833538803, + 750637077, + 698069651, + 929072951, + -1, + 253062236, + 975261246, + -1, + 48208155, + -1, + 997635245, + 24710172, + -1, + 409822840, + -1, + 327128716, + 504963338, + 741549571, + 123465881, + 439658798, + 39094687, + 915318264, + 183407879, + -1, + 550670115, + 731158400, + 176953335, + 980653112, + 504385294, + -1, + 436718044, + -1, + -1, + 672761284, + 663318136, + -1, + -1, + 779380111, + 939725106, + 641953089, + 16848772, + -1, + 985850608, + 502768955, + 752338464, + 394878374, + 401965475, + 357354566, + 883822364, + -1, + 230278641, + -1, + -1, + 930294658, + 760393934, + 608454599, + -1, + 354455153, + 913818416, + 154983579, + 830448642, + 166213311, + 331222109, + 611440134, + -1, + 326398057, + 124579312, + 895995819, + 84923190, + 67237764, + -1, + -1, + 637037687, + 742503479, + -1, + 469642936, + -1, + -1, + 201658315, + 736655470, + -1, + 360322568, + 709612455, + 205054064, + -1, + 244766986, + -1, + -1, + -1, + -1, + -1, + 313286357, + 998624706, + 735320893, + 248119572, + 548006094, + 22390526, + 180754398, + -1, + -1, + 934272569, + -1, + -1, + 854268540, + 453415991, + -1, + 141932358, + 785931121, + -1, + 399483405, + 239966919, + -1, + 21841060, + 185951506, + -1, + 78680096, + -1, + 976821935, + 102977962, + 745487541, + 93014774, + -1, + 391844021, + -1, + 412536174, + 346078650, + -1, + 373836282, + -1, + -1, + 151417254, + 637511743, + -1, + 527635461, + 706051036, + -1, + 258008310, + 896499876, + -1, + 244307649, + -1, + 747547822, + 151756361, + 839002328, + -1, + -1, + -1, + -1, + 243555825, + -1, + 539209380, + 266519995, + 799416318, + 403046246, + 834706689, + 911722801, + 420801399, + 75563816, + 938567000, + -1, + 270175232, + -1, + 738561308, + 300660359, + 749027559, + 287123140, + -1, + 571926791, + 432372421, + 414217403, + 714119462, + 529951718, + 567950898, + 961189774, + 434952049, + 436159538, + -1, + -1, + -1, + 587630218, + 393429347, + -1, + 816153802, + 301839417, + -1, + 61837100, + -1, + 784517557, + 265760393, + 44960006, + 581332336, + 203957978, + 877048767, + -1, + 242169692, + 488877690, + 384257978, + 619334295, + 166604096, + 982121432, + 272881016, + -1, + 978617851, + 363021301, + 41307519, + 628269267, + -1, + 875552386, + -1, + 504668198, + -1, + 303018687, + -1, + 118649790, + 966612062, + 952489286, + 123272138, + -1, + -1, + 423495807, + 451897148, + 521716475, + 847168860, + 983808764, + 665112001, + -1, + 799273588, + 528336016, + -1, + -1, + 981232142, + -1, + -1, + 643574842, + 637852461, + 312020633, + 717974283, + -1, + 189735193, + 795009027, + 876581603, + -1, + 789116964, + 504711047, + 671331268, + 937409254, + 476652550, + 989420510, + 718140258, + 207443153, + 139004388, + -1, + 514672005, + 499896471, + -1, + -1, + -1, + 452934479, + 785910949, + -1, + 293577159, + 489555597, + 770167575, + -1, + 390884875, + 769696709, + 713412159, + 263094785, + 76702244, + -1, + 164059739, + 373950434, + -1, + 270130421, + 202811527, + 749906888, + 728119410, + 505097288, + 782209665, + 225161400, + 11517333, + 810965746, + 72088021, + -1, + 987784414, + 650868327, + 426004877, + 630917516, + 10276560, + 871591148, + 183131148, + 305543430, + -1, + 125206324, + 741756775, + 920476570, + -1, + 466013390, + 830782261, + -1, + 91344163, + 823960122, + -1, + -1, + 643956806, + 110229522, + 733207022, + 529617348, + 960746829, + 26570816, + 634751851, + 596903157, + -1, + 642997969, + -1, + 952160911, + -1, + -1, + -1, + 760296932, + 725755950, + 142255819, + -1, + -1, + 948906381, + 272359378, + 569122360, + 238131962, + -1, + 358230838, + 522174332, + -1, + 90361634, + -1, + 276075942, + -1, + 500519772, + 564884752, + -1, + 321870976, + 127323286, + 421397338, + 379380434, + 182001145, + 110902279, + 57384680, + 566274189, + -1, + 70752436, + 955386207, + -1, + 442216455, + 493079255, + 306988509, + -1, + 19977752, + 336260415, + -1, + -1, + 978873903, + -1, + -1, + 324526590, + 125863928, + -1, + 393360460, + 957895007, + -1, + 433206991, + 776718899, + 789314239, + -1, + 640667724, + -1, + -1, + -1, + -1, + 880555984, + 877172317, + 673884087, + 625361280, + -1, + -1, + -1, + 790622530, + 805440395, + 773987576, + 758447160, + -1, + 825295147, + 242875550, + 366568452, + 518173052, + 974274737, + 291731455, + 922015407, + 732452456, + -1, + -1, + 510856358, + 382122310, + 934260566, + 945507529, + 798230863, + 778960723, + 335937705, + 578592083, + 375343434, + 169691964, + 330975608, + 452622278, + -1, + 412203392, + 766523218, + 958946217, + -1, + 108734827, + 290390551, + 293083104, + 994971262, + 63788691, + -1, + 414809423, + 557225582, + -1, + -1, + -1, + 524229713, + 652744152, + 832603905, + 901274775, + 374181492, + -1, + -1, + 421305069, + -1, + 390968469, + 286792041, + -1, + 371403647, + 197494178, + -1, + 798019672, + 756792254, + -1, + 716206769, + 462822237, + 851289576, + -1, + 680106027, + 945647976, + 936849197, + 975653477, + 362248389, + 443175315, + -1, + 129071418, + 440812225, + 601541996, + -1, + -1, + 913329575, + 468719262, + 906930513, + -1, + 500540878, + 647423831, + 908344899, + 10293133, + 165509062, + -1, + 866595539, + -1, + 571430300, + 277244103, + 246600202, + 332744937, + 698107485, + 579630139, + 413190887, + 275054226, + 609601813, + -1, + 518188716, + -1, + 951324974, + 747470088, + 940481778, + 208307882, + 253564757, + -1, + -1, + 376214594, + -1, + 663560880, + 852618766, + 115664227, + 908350051, + -1, + 581251471, + -1, + 317268535, + 771974146, + 772958585, + 49859097, + 797316183, + -1, + -1, + 280882568, + 100086586, + 753216237, + -1, + -1, + 353730649, + -1, + 598165289, + 582407528, + 936556497, + 837947385, + -1, + 553213224, + 105228913, + 197480677, + -1, + -1, + 121431794, + -1, + -1, + -1, + -1, + 34584165, + 123856906, + 444040968, + 260812181, + -1, + -1, + -1, + 530923539, + 202980240, + 782654923, + 489459218, + -1, + 477347882, + -1, + 65360141, + 888348087, + 697246669, + 565715958, + -1, + 417601210, + -1, + 346830993, + 829493374, + -1, + 667703886, + 575020849, + 230485110, + -1, + -1, + -1, + 864666477, + -1, + 687972851, + 268399942, + 558447243, + -1, + -1, + 757425124, + -1, + 494192574, + 216445945, + 875960823, + 320771451, + 581235180, + -1, + -1, + -1, + 606265936, + 945631623, + 322648485, + 521623723, + 584590249, + 19549729, + 656775055, + 225623444, + 490299107, + 9679274, + 213367270, + 755498374, + 684898165, + 985286624, + -1, + 199461604, + 606102510, + 685684262, + 566295544, + -1, + -1, + 316693787, + 378994257, + 733331184, + 991984390, + 657625448, + 218895689, + 757025528, + -1, + 961794315, + 910332840, + 847853847, + 889287702, + -1, + 694411994, + 96110143, + 944832169, + 989666438, + 77038921, + 359759657, + 463466930, + 106380362, + -1, + 905997191, + 943861961, + 595368727, + 485506137, + 104482613, + -1, + 976251733, + -1, + 898559212, + -1, + 372556134, + 87812834, + 745074172, + 156092049, + 836333493, + -1, + 766997114, + 90617135, + 552373407, + 725449523, + -1, + -1, + 52035359, + 404480502, + -1, + 736717278, + -1, + 363080735, + 763549764, + 69268395, + 965282458, + 254224198, + -1, + 409346957, + 921841197, + 905104150, + -1, + 241252713, + 404139547, + 956377455, + 704906760, + 555905199, + 86611051, + 854416256, + -1, + -1, + 691907082, + -1, + -1, + 910390020, + -1, + 864392985, + 225386761, + -1, + -1, + -1, + -1, + 981232921, + -1, + 479658414, + 987943360, + 379618615, + 964266906, + -1, + 220535900, + 64849968, + -1, + 536287019, + 510384180, + 431902250, + 203616423, + 485115545, + 366794339, + 346414484, + 697779277, + 856685151, + 469878107, + -1, + 610169327, + 334277299, + 438787438, + 475418631, + 588128014, + 896100301, + -1, + 175539713, + 109980776, + 485523142, + -1, + 70922487, + 710351015, + 104497641, + 441926358, + -1, + -1, + -1, + -1, + 900391605, + 717922138, + 504459122, + 798045176, + -1, + 657594034, + 238452377, + 105649017, + -1, + 386131465, + -1, + -1, + 273016293, + 155414057, + 599126715, + 276739108, + 536928938, + 755664826, + -1, + 97178796, + -1, + -1, + -1, + 490803732, + 716187799, + -1, + -1, + 801763867, + -1, + -1, + 7906354, + -1, + 516754390, + 454138364, + -1, + 874636972, + -1, + 191915188, + 993434246, + 883759168, + 724097001, + 527693422, + -1, + -1, + 325145552, + 36818365, + 377480235, + -1, + -1, + 30201300, + 883319178, + 346759812, + 563929901, + 144909979, + -1, + 152306403, + 972462497, + 114678997, + 389192197, + 710620464, + -1, + 833708494, + -1, + 873301240, + 66791077, + 156320863, + 787366177, + 628175727, + 355850558, + 268783140, + -1, + 657979006, + -1, + -1, + 173981782, + 925421537, + 926104275, + -1, + 521249511, + -1, + 57437886, + -1, + 412980619, + 874206920, + -1, + 677185545, + -1, + 998718643, + 50349548, + 485820992, + -1, + 748149901, + 489659807, + 186574786, + -1, + 493347568, + 435915140, + 575259986, + -1, + 836532953, + 154240582, + -1, + 446260467, + -1, + 419957328, + -1, + 260224810, + -1, + 968770576, + 399247511, + 891967459, + 134003705, + 935705355, + -1, + 517381996, + 335737209, + 670829246, + -1, + 838506443, + -1, + -1, + 604281640, + 35199357, + -1, + 352057410, + 908339253, + 985829128, + 332512835, + -1, + 4245904, + 317666761, + 933570528, + 2248086, + 341189455, + -1, + 698663614, + 522041436, + 60895584, + -1, + 642598893, + 101959463, + -1, + -1, + 454486407, + 759077860, + 693805981, + 618696331, + 978901632, + 879054317, + -1, + 165344681, + 183779099, + 864262562, + -1, + 581066231, + -1, + 488644912, + 191151792, + 387694400, + 584256795, + 822071043, + 647455779, + 928507938, + 444179569, + 860309852, + -1, + 537455482, + 394257758, + -1, + 716378222, + -1, + 906905208, + 148232692, + -1, + 507860965, + 818554501, + -1, + 186341836, + 468179603, + -1, + -1, + -1, + 9775857, + 270460135, + -1, + 932254872, + 148626004, + 109909737, + 66702526, + 15638616, + 716662873, + 847158405, + 334360869, + 588401079, + 571779425, + -1, + -1, + 413116252, + 108279878, + 273997434, + -1, + -1, + 554125652, + 398136865, + 402914596, + 448515681, + 769552312, + -1, + -1, + 634786754, + -1, + 835964886, + -1, + -1, + 263318826, + -1, + 366279320, + 463971732, + 580608242, + 26400290, + 317825699, + 46700447, + 924498626, + -1, + -1, + 152294823, + 62266689, + 253259239, + 343859960, + 904607915, + 635941220, + 530402019, + -1, + -1, + 146370217, + 894229802, + 613016795, + 534766176, + 348918501, + 947537429, + -1, + 500023408, + -1, + 766623112, + -1, + 542333982, + 927908641, + -1, + 27755534, + 456192968, + 404257581, + 721079712, + -1, + -1, + -1, + 789874512, + 143934292, + 420443354, + 251672510, + -1, + 211503911, + -1, + 690530663, + -1, + -1, + 151755653, + 801744059, + 357178734, + 6738604, + 561600728, + 797711814, + -1, + -1, + -1, + 520420310, + 423317070, + 582069016, + 602803094, + 909022104, + -1, + 859215038, + 902550062, + 79019288, + -1, + 131745557, + 7008651, + 31652823, + 935234538, + 201137670, + -1, + -1, + 404875738, + 779647829, + 445497457, + -1, + 237102899, + 882532212, + 32359312, + 364426335, + 666776925, + 800566797, + -1, + -1, + 816652816, + 256614225, + 674654108, + 538710215, + 530613051, + 186752098, + -1, + -1, + 709335144, + 337578023, + 580673777, + -1, + -1, + 368715271, + 609295757, + -1, + -1, + -1, + 863274657, + 772649188, + 641803894, + -1, + -1, + 21778516, + -1, + 152815744, + 550349745, + 478367691, + 496513783, + 685899601, + 441620801, + 840834498, + 181867523, + -1, + 797471840, + 394775575, + 53253376, + 246079347, + 419135451, + 925425649, + -1, + -1, + 915681202, + 683159034, + 480746571, + 576670094, + -1, + -1, + 551619623, + 671149518, + -1, + -1, + 343984531, + 392065762, + 359653398, + -1, + 754181110, + 774695464, + 875187046, + 285214718, + 60425427, + -1, + 507443553, + 347491736, + 420938853, + 198417005, + 229752631, + -1, + -1, + -1, + 56417694, + 796805922, + 281397931, + -1, + 240187044, + 128123951, + 397129559, + 966833035, + -1, + -1, + 865181205, + 912866178, + -1, + 555040039, + 958891330, + 428549647, + -1, + 940848086, + -1, + -1, + -1, + 608764964, + 565493733, + 332525468, + 984874043, + 437841242, + 864675774, + -1, + 29378665, + -1, + 541944649, + 733725387, + 381856255, + 519617536, + 924716403, + -1, + -1, + -1, + -1, + 882518660, + 386451136, + 657108386, + 45743751, + 793419306, + 343465892, + 967103788, + -1, + 819702247, + -1, + 189425714, + 62596694, + -1, + 71131688, + 272114228, + 461681380, + 124120824, + 229454627, + -1, + 231358527, + -1, + 488040622, + -1, + -1, + 31833569, + 787674813, + 131759837, + 101597373, + 852539293, + -1, + 640978674, + 800802245, + 807610144, + -1, + 853613373, + -1, + -1, + 230534684, + -1, + 107270726, + 927746886, + 981988091, + 476012855, + -1, + 154240994, + 121034081, + 372363981, + -1, + 364224931, + 62885170, + -1, + 56141308, + 898304925, + 407678421, + 710441788, + 751960296, + -1, + -1, + 607467192, + -1, + 524371156, + 393362985, + 746994692, + -1, + 652852623, + -1, + 494034891, + 261744266, + 952250739, + 694183561, + 801856236, + 228040924, + 710254839, + 566240251, + -1, + 483624144, + 721591878, + -1, + 947066379, + 770336162, + -1, + -1, + 380445873, + 391398315, + -1, + -1, + 221244018, + 961675198, + -1, + -1, + 620032586, + 445085022, + -1, + 238348055, + 952887655, + -1, + 830030209, + 946113044, + 905633856, + 72176149, + 74280487, + 863994249, + -1, + -1, + 287119681, + 453220507, + 486420906, + 307599646, + 271973951, + 869699059, + 421492892, + 159250938, + 231504601, + 837813096, + 596778049, + -1, + 26576331, + 949151201, + 504328582, + 132364745, + 739985870, + 764004555, + -1, + -1, + 475674526, + 732618527, + 785307901, + 544859167, + 515453919, + 163982714, + 793494778, + 106421455, + 651645458, + 152132143, + -1, + -1, + 24715604, + 537588675, + -1, + 204502569, + -1, + 813988704, + 665196444, + 94633156, + 261712639, + 202719921, + 406829525, + 289108167, + 753160072, + 471941801, + -1, + 973295385, + -1, + 466986897, + -1, + 111138878, + 744266502, + -1, + 241185882, + 920779833, + 823185611, + 926397841, + -1, + 736716917, + 283509925, + 643478913, + 554340548, + 653892127, + -1, + -1, + 815491545, + 537307010, + 240591268, + 114233148, + 726061311, + -1, + 26655468, + 362261428, + -1, + -1, + -1, + 406778963, + 498436219, + 323668450, + -1, + 597196259, + 778968119, + 775945989, + 995211842, + 42045969, + -1, + 106894093, + -1, + 886903788, + 198574868, + -1, + 696498438, + -1, + 592774184, + 136809434, + -1, + 317808517, + 831969948, + 137187430, + 693802931, + 79800103, + 939171429, + 446296861, + 151947189, + 848076033, + 650017902, + 412316345, + -1, + 440710418, + 43829693, + 530690705, + 223655580, + -1, + 76225375, + 897888936, + 780657759, + 231148791, + 720611697, + -1, + 611781010, + 434311781, + -1, + 197039840, + 570473374, + 310322553, + 945883610, + 738332960, + 561478656, + 191284979, + 6340069, + 742393541, + 610321196, + -1, + -1, + -1, + -1, + 621016992, + 731672207, + 310410640, + 867190749, + 126298383, + -1, + 873237688, + -1, + 622959149, + -1, + 378736514, + 663255384, + 536365729, + 89243438, + 669496604, + 835936271, + 916147528, + 350055645, + 315522217, + -1, + 57153295, + 316814994, + 325637786, + 953569959, + 316352293, + 624766541, + 456111721, + -1, + 606892973, + 424177186, + 780561784, + 742659843, + 136224067, + 749567487, + 163010722, + -1, + -1, + -1, + 375946441, + 718687257, + -1, + 527189676, + -1, + 314940457, + 909037418, + 775449207, + 45774302, + -1, + 558811795, + 950594798, + -1, + 797659156, + 417924849, + -1, + 160823222, + 827557642, + -1, + -1, + 515595532, + 613538762, + 594290638, + 734364216, + -1, + 528121036, + 688824907, + 157670888, + 828891012, + 272450087, + 5735612, + -1, + -1, + -1, + 91328962, + 106745805, + -1, + -1, + -1, + 540995801, + 901471032, + 718085195, + 740037721, + 169804311, + -1, + 422333544, + 12351598, + 933365043, + 331577251, + 52079100, + 171164967, + -1, + 650357117, + -1, + 408384838, + 481777634, + 561683442, + 504378048, + 820245506, + 232225214, + 834100833, + -1, + 939360503, + 933477027, + 439978661, + -1, + 862417595, + 5888365, + -1, + 653700240, + 855215718, + 789606398, + 809301455, + 666575740, + -1, + 33177195, + 151954687, + 134427951, + 468255589, + -1, + 748392093, + 23686260, + 60305751, + 414509767, + 432894797, + 232985041, + 444024450, + 468540572, + 391439695, + 859314387, + -1, + -1, + 713246553, + 275903581, + 114824161, + 659396036, + -1, + -1, + -1, + 65220014, + -1, + -1, + 937355977, + 997755776, + 208721099, + 276408162, + 496022692, + 467604578, + -1, + 343923612, + 301415255, + 40250072, + 136291603, + -1, + 471216898, + 513591719, + 96465642, + 677419756, + 296358422, + 759194591, + 865897852, + -1, + 917331920, + 616141372, + 907134235, + 332899433, + 625813322, + 750106256, + 987077245, + 859145745, + 529303306, + -1, + -1, + 363801453, + 72023691, + 59869990, + -1, + 655630475, + -1, + -1, + -1, + 276539988, + -1, + 572368998, + 595019105, + 825017041, + 26849649, + -1, + -1, + -1, + -1, + 662221118, + 536047188, + 910629437, + 431128654, + 320288075, + -1, + 721625263, + -1, + 288481929, + 754054491, + 584764668, + 563474182, + 275074728, + -1, + 481624332, + -1, + 191423344, + -1, + 253830594, + 697532771, + 405713654, + 317896836, + -1, + -1, + -1, + 929315498, + 351895307, + 1883014, + 632594103, + 670106608, + 758990105, + 386900469, + -1, + 482228788, + -1, + 678240705, + -1, + 937758477, + -1, + -1, + 560376493, + -1, + 855214878, + -1, + -1, + 390499806, + -1, + -1, + 991101729, + 117716399, + 345377807, + 158194278, + 579614035, + -1, + 842675038, + -1, + 88743938, + -1, + 501104861, + 16684619, + 93250627, + 968070701, + 681369926, + 545697792, + -1, + 476542184, + -1, + 944044549, + 721994418, + 962089936, + 774534267, + -1, + -1, + 79278688, + -1, + 358531452, + 867355863, + -1, + 876037846, + -1, + -1, + -1, + 651889971, + 843646229, + 578212972, + 162968210, + 72983064, + 672746492, + 465750019, + 789974134, + 250067859, + -1, + 11730259, + 910826617, + 25228533, + 645568163, + 795283858, + 975503306, + 724880873, + 953094283, + 164302651, + 147819779, + 618271030, + 5160898, + 561176112, + 583035605, + -1, + 133359779, + -1, + -1, + 482968583, + 446756930, + -1, + 366576276, + 331729545, + 141816632, + 290013864, + 432314039, + 728676939, + 952985189, + 643891584, + 262037455, + 410456353, + 947040434, + 837104896, + -1, + 362056883, + 722109263, + 546452248, + 491176385, + 176950067, + 704305126, + 184464185, + -1, + 964874276, + 333242034, + 450070735, + -1, + -1, + -1, + -1, + 247252048, + 764538676, + -1, + 347351027, + 734261605, + 85850044, + -1, + -1, + 858066870, + 768528849, + 366800666, + -1, + 672723577, + -1, + 352530285, + 572858435, + -1, + 245200620, + 993471426, + 267228688, + 569213253, + -1, + -1, + -1, + -1, + 813198102, + -1, + 946378955, + 372532248, + -1, + 807955477, + 476481845, + 26831475, + 474556120, + 9237088, + 431616495, + -1, + 775661876, + -1, + 926614118, + 630449979, + 823449055, + 633368932, + 959759009, + 470708813, + 929362047, + 259525863, + -1, + 109160163, + 711251001, + 214434832, + 328653520, + -1, + 816623156, + -1, + 635107485, + -1, + 15251914, + -1, + -1, + 968913126, + -1, + 244311962, + -1, + 230735730, + 710821691, + 791733498, + -1, + 635119598, + 796244756, + 487079234, + 54493929, + 92554220, + -1, + 194801098, + 138092761, + -1, + 796112305, + 469506599, + 855329462, + 12230124, + 453335101, + 748266241, + 757563870, + -1, + -1, + -1, + -1, + 672985927, + 505786820, + 259274388, + -1, + 794288630, + -1, + -1, + 504406479, + -1, + 504793887, + 627243998, + -1, + 386018963, + 809896212, + -1, + -1, + 729237722, + -1, + 775076804, + 294211231, + 324476042, + 976924132, + -1, + 545263969, + 109076922, + 761154983, + 935116752, + 438794908, + 868451165, + -1, + 249999786, + 978213115, + 335642642, + -1, + 28562703, + 55223376, + -1, + 905475799, + 629217427, + 30875923, + 856472237, + 58557468, + 146058430, + 393496687, + 981924886, + 658349304, + 954251450, + -1, + 397672063, + 599477999, + 392508537, + -1, + -1, + 311489247, + -1, + 67181139, + -1, + 759567502, + 588325762, + -1, + 499347290, + -1, + 804226997, + 441834974, + -1, + -1, + 972460024, + 984742257, + 859959498, + 360812547, + 609501478, + -1, + 725948613, + 2774497, + 402806124, + 43809724, + -1, + 61387482, + -1, + -1, + 148447187, + 345838393, + 157065367, + 395351219, + 942085975, + -1, + 713630059, + 863185152, + 204040356, + 761411231, + 38507194, + 196757714, + 132691402, + 786301437, + 154414909, + 371256607, + -1, + -1, + -1, + -1, + 270797477, + -1, + 949202461, + 252836495, + -1, + 552274579, + -1, + 84584924, + 155115612, + -1, + 795677800, + 978056068, + -1, + 860363708, + 173968466, + -1, + 465491075, + 330321388, + 943553695, + 262593759, + -1, + -1, + 623397226, + 851499775, + 283208545, + 250824411, + -1, + 564865252, + 444913943, + 561576519, + -1, + 326801258, + -1, + 407305080, + 360467262, + 49043416, + 28330119, + 967560102, + -1, + 156306044, + 485949865, + 216406214, + 353817126, + 987056240, + 948579619, + 80255962, + 94657211, + 242265869, + -1, + -1, + 577103381, + 30134488, + 710485340, + -1, + 199146071, + -1, + -1, + 854602238, + 692665411, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 572288517, + 927919674, + 294258141, + -1, + 281615094, + 587459773, + -1, + -1, + 916776501, + 243490621, + 671791380, + 232561793, + 898708948, + -1, + 234454494, + 117516613, + 989676376, + 203084682, + -1, + -1, + 966035069, + 425236315, + 637459678, + 15684048, + 650766254, + -1, + -1, + 542358490, + 447707987, + 772393763, + 444332397, + -1, + -1, + -1, + 750048793, + -1, + 934557083, + 629852479, + 532556962, + 648220253, + 315881054, + -1, + 47671208, + 159258271, + 676507278, + 250535444, + -1, + 216463943, + 198023764, + 451487771, + 889995440, + 835889492, + 106881011, + 452395808, + 674049049, + -1, + 332102990, + -1, + 185394679, + 297864014, + 757145260, + 713311498, + 536906635, + 771780667, + 952464490, + 528965588, + 367839775, + -1, + 869376100, + 313421995, + 532921915, + 773303982, + 814069245, + -1, + -1, + 443745237, + -1, + 537486603, + 263544651, + 496500699, + 639113683, + -1, + 11579058, + -1, + 185217265, + 803244448, + 389501524, + 266915370, + 950389308, + 234573749, + -1, + 948208076, + 760288945, + 15502647, + 82076273, + 991208575, + 369761237, + 618009226, + 98976073, + 434998995, + 411317628, + -1, + 82886895, + 524238150, + -1, + -1, + -1, + 691807002, + 526429455, + 639241428, + 690594198, + 373701580, + -1, + 333756982, + 551613883, + 821235673, + 990603536, + 134521466, + 977112868, + 632662067, + 20601060, + 516011829, + -1, + -1, + 87523715, + -1, + -1, + 771208858, + -1, + 965212769, + 640314495, + -1, + -1, + 926257547, + 306852315, + -1, + 705383999, + 282095608, + 940653474, + 645855666, + 609709241, + 450067972, + -1, + -1, + 97479524, + -1, + 439114657, + 625532939, + -1, + -1, + -1, + 461522319, + -1, + 784108277, + 910556621, + -1, + -1, + 935562877, + -1, + 707693388, + 953944790, + 509036496, + 137826654, + -1, + -1, + 105794140, + -1, + 42948060, + 104575620, + 651825912, + 423540827, + 121441010, + 64044280, + 678677366, + 702732735, + 20674016, + 143760020, + -1, + -1, + -1, + 54171993, + -1, + 783375944, + -1, + 883414619, + 181802106, + 175113467, + -1, + 909780239, + 5319378, + -1, + 137888853, + 333083639, + 626380120, + 637969522, + 320836683, + -1, + 437350561, + 994641647, + -1, + 886253144, + -1, + 263725438, + -1, + -1, + -1, + 464837424, + 535825058, + 230731985, + 898850161, + -1, + -1, + 69492064, + 395385578, + 188923796, + 835732294, + 789402755, + -1, + 344457368, + 738160294, + 932562677, + -1, + 648427162, + -1, + 463301036, + 708021327, + -1, + 330402189, + -1, + 411154647, + 731223896, + -1, + -1, + 728615911, + 26052766, + -1, + -1, + 427567853, + -1, + 420366424, + -1, + 739312468, + 899525449, + 322511611, + 214664645, + -1, + 398824712, + 958070556, + -1, + -1, + 931162105, + -1, + 924063766, + -1, + 937274993, + 447110209, + 83349811, + -1, + 570860896, + -1, + -1, + -1, + -1, + 788927917, + 886555953, + 580083916, + 620567238, + 683828822, + 230747010, + 641017964, + 573590606, + -1, + 562349723, + -1, + -1, + -1, + 793505881, + 578043995, + 168012488, + -1, + 679047832, + 531137319, + 620495801, + 841058790, + -1, + 811367260, + 674832286, + 647185796, + -1, + -1, + 49314000, + -1, + 509821583, + 747690955, + 565143862, + 499083962, + 113657212, + 751824664, + 919206872, + -1, + 73531356, + -1, + 841548888, + 125438621, + 357634556, + 740132509, + 323936371, + 985833303, + 703928927, + 648712109, + -1, + 985050183, + -1, + 485066958, + 559456034, + 862186724, + 284677864, + 470451526, + 795849123, + 410084927, + 435461537, + -1, + 127670063, + 532023665, + 83131973, + 855204886, + 823814845, + -1, + 198107533, + -1, + 343655830, + 688160623, + 653525043, + 90633871, + 762556242, + 304600525, + 401364751, + 584943917, + 669105000, + 789340952, + -1, + -1, + 354743353, + -1, + -1, + 592319973, + 41934230, + 767838242, + 659046626, + -1, + 904933998, + 515961333, + 672891270, + 801899191, + 805508561, + -1, + -1, + -1, + 269313272, + 975366651, + -1, + -1, + 761464738, + 246221849, + -1, + 166123890, + 10153572, + 773544290, + 473846453, + 596109056, + 663682351, + 862624169, + 313720464, + 630585601, + 191868867, + -1, + 6820434, + 505052945, + 460181682, + 865873772, + 959596864, + -1, + 776177685, + -1, + 68457722, + 852836559, + 224309678, + 619886340, + 186856837, + -1, + 177555180, + 510365918, + 263206306, + 787931732, + -1, + 677733646, + -1, + 452572975, + -1, + -1, + 986040796, + -1, + -1, + -1, + 449995278, + 736329847, + -1, + -1, + 367582253, + -1, + 850228282, + 557469734, + 385261587, + -1, + 596349818, + 200803065, + 942763902, + -1, + 338209167, + 838604905, + -1, + -1, + -1, + 676370581, + 31663637, + 287708211, + 722195705, + -1, + 333798448, + -1, + 920697302, + 697961166, + 931588318, + 580845528, + 725420377, + 249670921, + 926589460, + 568607924, + 427701034, + 267555621, + -1, + 158371793, + -1, + 692596716, + -1, + 319726810, + -1, + -1, + 118291204, + -1, + 233991157, + -1, + 417065574, + 702929150, + 73921161, + 486140946, + 353947072, + 156245333, + 246301306, + 304979372, + 48276061, + 564254450, + -1, + 768274316, + 886452188, + 540934868, + 5994785, + 506920219, + 545286585, + 159382633, + 220027261, + -1, + 310392451, + -1, + 395514613, + 152471713, + 570200268, + 572014601, + -1, + 843791120, + -1, + 690165904, + 998214030, + 992315670, + 8767801, + 307616646, + 930173182, + 655315005, + 757688070, + 938331440, + 349438055, + 411000454, + 700061813, + 120920255, + 793735411, + 707201488, + 998391504, + 402964089, + 360065449, + 276129836, + 108438142, + 625896879, + 900330782, + 416897431, + 433548010, + 707340321, + -1, + -1, + 459067561, + 147650204, + 615902909, + -1, + 35381654, + 539272847, + -1, + -1, + -1, + 454571582, + 543342761, + 190144259, + 203999757, + 200322447, + 562216697, + -1, + 699085555, + 860373141, + -1, + 670374610, + 835921726, + 588936933, + -1, + 758461664, + 387540311, + -1, + 619880922, + 100783043, + 410024630, + -1, + -1, + -1, + 474463024, + -1, + 437933152, + -1, + -1, + -1, + 473484626, + 851123434, + 693363409, + -1, + 429440196, + 195326481, + 320507511, + 965941551, + 411745064, + -1, + 506449794, + -1, + -1, + -1, + 850927596, + 736135561, + 452080818, + 328037314, + 879698868, + -1, + 236291774, + 678856375, + -1, + -1, + 66116123, + -1, + -1, + -1, + 260127636, + 742609942, + 217414571, + 588600781, + 917756580, + 182664390, + 633334477, + 967625808, + 345150701, + 557181918, + 615162719, + -1, + 160176393, + 681569187, + -1, + 917438497, + -1, + 922166780, + 517570314, + 956443236, + 374387153, + 733232945, + -1, + -1, + 983551195, + 55394103, + 14982996, + 856192419, + 282587121, + 43967096, + 587994749, + -1, + -1, + 851737547, + 201194250, + 633993790, + -1, + -1, + 313499493, + -1, + -1, + 220013830, + 467429405, + -1, + -1, + -1, + 576839873, + 894469767, + -1, + -1, + 79692195, + 132535007, + 23183594, + 23050630, + 763127599, + -1, + 633144295, + 54919333, + 681889168, + 409435090, + 415856370, + 32755688, + -1, + 199438360, + 469235582, + 194693458, + 30446736, + 540549068, + 529955617, + 19613055, + 967252991, + -1, + 262596886, + 381732556, + 783293614, + -1, + 32500030, + -1, + 24567102, + 204822836, + 896714331, + -1, + -1, + 215932360, + 56663280, + 266648242, + 668148711, + -1, + 1906626, + -1, + 617713190, + 173626672, + -1, + 322357359, + 3548862, + -1, + -1, + 920644536, + -1, + -1, + 569269724, + 738167985, + 871094243, + -1, + 583732610, + 717926690, + 366931303, + 753800030, + 848068439, + 663718514, + 711147499, + 55376916, + 530982198, + -1, + -1, + 250546255, + 183865153, + 10469089, + 439225821, + 685019747, + 929029484, + 950939225, + -1, + 889490000, + -1, + 747074517, + 45975447, + 26065683, + -1, + -1, + -1, + -1, + 628389764, + 527575687, + 789134331, + -1, + 36647052, + 521390300, + -1, + -1, + 338882388, + 376306929, + 135841787, + 140624055, + -1, + 276128859, + -1, + 760130915, + 977797617, + 897407413, + -1, + 924793448, + 109904107, + 51520484, + -1, + -1, + -1, + 590271133, + 537938166, + 394706081, + 882143687, + -1, + 820054162, + 31817820, + 1950524, + -1, + 614289550, + 350132829, + 430025197, + -1, + 444450671, + -1, + 90207531, + -1, + -1, + 608789440, + -1, + 788839508, + 654816621, + -1, + -1, + 194296518, + 87821493, + 969808394, + -1, + 430846504, + -1, + 388345407, + -1, + -1, + 81003474, + -1, + 660148912, + 612308407, + 835472036, + -1, + 624402389, + 974990587, + -1, + -1, + 73513210, + 464134193, + -1, + -1, + -1, + -1, + -1, + -1, + 397930854, + 17301686, + -1, + -1, + 882133790, + -1, + 215315211, + -1, + -1, + 537356416, + 376707932, + -1, + 9854369, + -1, + 16354529, + 845037553, + 664695466, + 624889199, + 659468170, + 608303500, + 690114925, + -1, + -1, + 515227696, + -1, + -1, + 581539149, + 978431292, + 373940358, + 614282892, + 672125840, + -1, + 77046020, + 647899066, + 645302887, + 544492026, + 706098800, + -1, + -1, + 384710176, + 454234294, + -1, + 19224013, + 794742695, + -1, + 355214045, + 424510383, + -1, + 457437692, + -1, + 75950676, + -1, + 75052497, + -1, + 160683350, + 403534054, + 43295561, + 651529473, + -1, + 472521830, + 700827066, + 199699590, + 860803942, + 872458469, + 868243813, + 649644537, + 860414805, + 729749543, + 244447954, + 206975768, + -1, + -1, + -1, + 291490549, + 850587668, + 226515883, + -1, + 215733552, + -1, + -1, + 517651967, + 29355622, + 727002365, + -1, + 138815009, + -1, + -1, + -1, + 576035638, + -1, + -1, + 631502726, + 830367015, + 830778038, + -1, + -1, + 693570333, + 466575444, + -1, + 144530845, + 302641632, + -1, + -1, + 152378871, + 495073544, + 871684065, + -1, + 923323211, + 44825067, + -1, + -1, + 490817229, + 5360611, + 695194021, + -1, + 940246516, + 358517301, + 413534050, + -1, + 591257156, + 870926255, + 195312762, + 46384994, + 759851209, + 571363397, + 878496629, + 726302937, + -1, + 910459058, + 659612622, + 180155028, + 451582694, + 195214667, + 168588910, + -1, + -1, + -1, + 854967927, + 699018962, + 772938072, + 562068940, + 629393783, + 264631095, + -1, + 92789393, + -1, + 610070431, + 556311977, + 104878837, + 753721921, + 955535891, + -1, + -1, + 141856532, + -1, + 587013671, + 86193722, + -1, + 220413938, + 27555653, + 497604618, + 646990247, + 219402707, + 569587040, + 693002970, + 622414933, + -1, + -1, + 984366366, + 980437492, + 834846465, + 681714452, + 780399378, + 906380707, + -1, + 228201532, + -1, + 335488729, + -1, + 529312179, + -1, + 392494181, + 646850455, + 770402905, + 507644123, + -1, + 182794876, + 932519180, + 792196713, + -1, + -1, + -1, + 516331262, + 915942484, + -1, + 486256857, + -1, + -1, + -1, + 282422710, + 162538652, + 58676540, + 408957017, + 865498269, + 55361021, + 7450973, + -1, + 642294234, + 268371433, + -1, + 239768530, + 585797348, + 145911832, + -1, + 12494119, + 680659679, + -1, + 801625383, + -1, + -1, + 327490470, + 33335397, + -1, + 761765465, + 462088636, + 40935453, + 803026885, + -1, + 525042404, + 772755233, + 310874941, + -1, + 104597536, + 996748399, + -1, + 79662932, + 991006671, + 772728011, + 970626112, + 581544566, + 980824413, + -1, + 774505992, + -1, + -1, + 572223895, + 567529126, + 385343937, + 366845645, + -1, + -1, + 850359620, + 328952981, + 213724765, + 458535946, + -1, + 893526978, + -1, + -1, + 276477672, + -1, + 135482529, + -1, + 312952394, + 779734614, + -1, + 113934495, + -1, + -1, + -1, + 111583979, + 523293837, + 346412766, + 586261818, + -1, + -1, + 546972177, + -1, + 630120248, + -1, + -1, + -1, + 555747884, + 976270951, + 546392076, + -1, + 375802790, + 800403092, + 401713417, + 210247304, + 511624409, + -1, + -1, + 479185992, + 183514106, + 982799263, + 112751676, + -1, + 140134465, + 956188262, + 788928292, + 144049205, + 787490933, + 449616678, + 469339953, + 982410555, + 991485773, + 27313283, + -1, + 662574149, + 96437599, + -1, + 176389070, + 278519776, + 412577481, + -1, + 470891576, + 739785654, + 898123204, + 364302508, + 356241737, + -1, + 165438662, + 85939406, + -1, + 29323022, + 407040433, + 38554455, + -1, + 398394332, + -1, + 739693642, + -1, + 389903069, + -1, + -1, + 890067266, + 726124076, + 712990833, + 589414005, + 828084040, + -1, + 34999535, + 970817613, + 60941058, + 322826454, + 187655619, + 697688835, + -1, + -1, + 38909138, + -1, + 699859016, + -1, + 865577450, + 860780970, + 454508343, + -1, + -1, + 223650592, + 329928779, + -1, + 276182560, + 470442694, + 144680681, + 409178953, + 371400164, + 104856673, + -1, + 873239319, + -1, + 823864210, + 205417113, + 972548982, + -1, + 894612438, + 284130986, + 49231946, + -1, + 407769480, + 649595277, + 100352907, + -1, + 189447454, + 124122222, + 538083376, + 51358788, + -1, + 663137550, + -1, + 809193633, + 945369486, + 76781670, + 364602706, + 118921222, + 639795793, + -1, + 92071144, + 211458866, + -1, + 422168218, + 953494592, + 481459647, + 51127593, + -1, + 578522452, + 571559402, + 126890210, + 421092505, + -1, + 765305791, + 545147792, + 446827927, + 718450063, + -1, + 13410216, + -1, + 99630512, + -1, + -1, + 343100329, + 410172315, + 195844779, + -1, + -1, + -1, + -1, + 768330057, + -1, + -1, + 518539778, + 115279788, + -1, + 815126173, + 521028606, + 371774843, + 318398500, + -1, + 321491741, + 852069595, + 290704146, + 169636624, + 772124940, + -1, + 658150627, + -1, + 465902155, + -1, + 666879637, + -1, + 636868062, + -1, + -1, + 930806327, + -1, + 240934134, + 310159159, + -1, + 287146206, + 77907775, + 319254414, + 391422339, + -1, + -1, + 600622802, + 455168265, + 508512326, + 110767864, + 274073193, + 456216784, + 331573417, + 436718147, + -1, + 677860885, + 472137117, + -1, + -1, + -1, + 795178333, + 243090819, + 16243926, + -1, + -1, + 69571549, + -1, + 924106878, + 993341300, + 729779059, + -1, + 111142911, + 61994144, + 342803611, + 74619353, + 240653587, + 340797874, + 269420146, + -1, + -1, + -1, + 436257216, + -1, + -1, + 726350867, + 146243331, + 463596885, + 594723141, + -1, + 610501516, + 865268309, + 66532052, + 170905947, + 387379212, + 142560815, + 98687825, + -1, + 250018526, + 669310767, + 213030036, + -1, + 967204433, + -1, + -1, + 742698906, + -1, + 325080522, + 187750195, + 691781053, + 126930422, + 182618449, + 339331822, + -1, + 773018273, + -1, + 978620332, + 325857078, + 67627093, + -1, + 922116939, + -1, + 311862103, + -1, + 349412413, + 921615564, + 659661048, + 624909936, + -1, + 556349009, + -1, + 720335347, + 319757896, + 924575414, + 863456098, + 968305154, + 473342332, + 679346248, + -1, + -1, + 46312494, + -1, + -1, + 903808410, + 315274143, + 391587130, + 925312065, + 715150064, + 459330595, + 979125138, + 875678044, + 426504816, + 894078276, + 700555739, + -1, + 665190575, + 751986305, + 257524756, + 346279340, + -1, + 463609525, + 321302665, + 228786256, + -1, + 861848890, + 170818809, + -1, + -1, + -1, + -1, + 413364672, + 781551647, + 471396373, + 11255020, + 136573867, + 103192347, + 159599865, + 87504342, + 792188932, + 25262943, + -1, + 741942749, + -1, + 336644558, + 695399897, + 548339684, + 981561766, + 605969719, + 214828641, + -1, + -1, + -1, + 285156006, + -1, + 439113138, + 743424924, + 545518738, + 125267354, + 561711911, + 744017024, + 415639057, + 162512733, + -1, + 308018879, + -1, + 575354889, + 407284015, + 295134413, + 605285771, + 555955089, + 369616617, + 279524157, + -1, + 330257800, + -1, + 423303212, + 311257776, + 213028339, + 516257809, + -1, + -1, + 372753895, + 512841037, + 13571103, + 790950346, + -1, + 698514854, + -1, + 918166173, + 432806911, + -1, + -1, + -1, + -1, + 786654408, + 206185680, + 939801085, + 757648617, + -1, + 493574760, + 835698943, + 168932811, + -1, + 609838395, + -1, + 874408550, + 20651887, + 912733477, + 459586276, + 763388268, + 416917063, + 349056530, + 802325920, + -1, + 26612769, + 678248651, + 275975497, + -1, + 56216895, + 981793410, + 517146520, + -1, + 125881628, + 989024113, + -1, + 211857184, + 885609233, + -1, + 657237307, + 241739187, + 992942592, + 908346735, + 127290581, + 995033098, + -1, + 791262710, + -1, + 863139857, + -1, + -1, + 486336600, + 249415752, + 764013220, + 500954954, + -1, + -1, + 810226646, + 399807708, + 930362781, + -1, + 343014084, + 528827182, + 783736187, + 816059633, + -1, + 747932258, + 813009175, + 659665385, + -1, + 870723236, + -1, + 893692953, + -1, + -1, + 49250760, + 33000279, + -1, + 581618526, + 292610130, + 253567635, + 982694701, + -1, + 41942216, + -1, + -1, + 347762259, + 19166220, + 789915970, + -1, + 525828449, + 275720194, + -1, + 483132170, + -1, + -1, + 576083135, + 463603894, + 534152314, + -1, + 477084495, + -1, + 180928546, + 683097781, + 988638040, + 870523671, + -1, + -1, + -1, + 247586071, + -1, + 653573874, + 682241692, + 521214799, + 399140723, + 877440271, + -1, + 718002433, + -1, + 857124838, + 931353439, + 343381036, + -1, + -1, + 37635605, + 538458010, + 347264771, + 926588452, + -1, + 271413394, + 323847989, + -1, + 519607056, + -1, + 627469829, + 953046141, + -1, + -1, + 627948077, + 595821841, + 250871232, + 326698879, + 879942150, + 937008043, + 254082653, + 189600, + 1124094, + -1, + -1, + -1, + 871342456, + 630617065, + 364800993, + 122986868, + 250282967, + 250679302, + 195795706, + 857750732, + 119300136, + 240811651, + -1, + -1, + 844701396, + -1, + -1, + 557672470, + 399330444, + 733439864, + 500715416, + -1, + 917089717, + 698841381, + 826791184, + 487127793, + -1, + 580152615, + 337069617, + 71967030, + -1, + 545902351, + 893996937, + 731979916, + -1, + -1, + 731150178, + 537804995, + 913464892, + 43253566, + 592365202, + -1, + 892659936, + -1, + -1, + 271169958, + 467482619, + 514988165, + -1, + -1, + 350408228, + -1, + 176392579, + 867052974, + 538263300, + 532163625, + 183361928, + 389601197, + 662769169, + 578370619, + 278813337, + -1, + -1, + -1, + 859924265, + 115017040, + 672543998, + 329639879, + 358023588, + 279018571, + 479955273, + 870885518, + 3083132, + 395658820, + 436174616, + -1, + -1, + 640086858, + 421020483, + 128721076, + 612291892, + 450705535, + 139996710, + 151418214, + 300756999, + -1, + 567043085, + 678014532, + 657566083, + 660979811, + -1, + 297763071, + -1, + -1, + -1, + -1, + 671002893, + 992726309, + 623643536, + 299204886, + 927399419, + 832295395, + 203968394, + -1, + 969493240, + -1, + 686642102, + 705669452, + 300538503, + 104291159, + 704613412, + -1, + 152764693, + -1, + 973282666, + 835045597, + 766291878, + 476300540, + 704025142, + 888671777, + 228496796, + 216856929, + -1, + -1, + 857921899, + 741335661, + -1, + -1, + 334305507, + 634374102, + 857205130, + 980599854, + 733805978, + 349108644, + 564065916, + 738454460, + -1, + 647924671, + 132389776, + 197962382, + 891026795, + 412975640, + 30369891, + -1, + 219888249, + 580214795, + -1, + 828006469, + 633092964, + 416021445, + 478913163, + -1, + 522493820, + 876276686, + 517069397, + 487719419, + -1, + -1, + 127370193, + 458917444, + 288052992, + 335257682, + 807159224, + 915875601, + 555790927, + -1, + 434007426, + 183597121, + -1, + -1, + -1, + 552751482, + -1, + 226705456, + 799888122, + 104557564, + 671532994, + 873184938, + -1, + -1, + 452917866, + 119983058, + -1, + 184033050, + -1, + 721067938, + 543422392, + -1, + 310292712, + 490369045, + -1, + 67083478, + 573477140, + -1, + 162469257, + 581088671, + 513310381, + 192822200, + 6956443, + 738077714, + 130333781, + 975103935, + 88993868, + -1, + 460809808, + -1, + -1, + 162081417, + 49287738, + -1, + -1, + 653941668, + 715360571, + 763639914, + 118826076, + 511195406, + 422115735, + 502645069, + 826559280, + 379701527, + -1, + 413890140, + 212161484, + 200652144, + -1, + 717347588, + 524491666, + -1, + 228843130, + 217393007, + -1, + -1, + 812576681, + 432497380, + -1, + 201603827, + -1, + 251759601, + 38923583, + -1, + 842219252, + 979473518, + 375051296, + -1, + 951593972, + 878829369, + 116819725, + 211175203, + -1, + 112070837, + 846748543, + -1, + 488970745, + 712613429, + 88709712, + 177481242, + 925954680, + 469799520, + -1, + 295202687, + 52122019, + 184977147, + 729899114, + 839663151, + 109830380, + 320966624, + 941584919, + 923624885, + 571742022, + -1, + -1, + 423594216, + 879449763, + 861304807, + 719918579, + -1, + 961854497, + -1, + 411305502, + 453229037, + -1, + 172048782, + -1, + 570475848, + 725926734, + 488186725, + 442941028, + 40844135, + -1, + 24587259, + -1, + -1, + 706677210, + 937132126, + -1, + 87015472, + 342432619, + 462905230, + 793315974, + 524699911, + -1, + 126297614, + 335676286, + 475054795, + -1, + 969637429, + -1, + -1, + -1, + 535269989, + 700399617, + 411157842, + 506875315, + 567363698, + -1, + 844810284, + 781590428, + 990570333, + 590759308, + 681697880, + 192545981, + 127545788, + -1, + 890904618, + 327468751, + 460920016, + 126955943, + 119024210, + -1, + 328277161, + -1, + 286080072, + 348099489, + 608757769, + 195293279, + -1, + 814799777, + 245027247, + 215142633, + 843920397, + -1, + 729687443, + -1, + -1, + 722608331, + 385767006, + -1, + -1, + 140722220, + -1, + 608110564, + -1, + 40736821, + 998353561, + 925266421, + 193513102, + 3602449, + -1, + -1, + 800609527, + -1, + 268082698, + -1, + 113927478, + 144065364, + 600820577, + 905317082, + 579150250, + 678325525, + 174454193, + 670602776, + -1, + 509367648, + -1, + 516812583, + -1, + 246061838, + 750767256, + 739842781, + 625193035, + 393270060, + 289675711, + 636647641, + -1, + -1, + 129623192, + -1, + 90559350, + 306525843, + 598142099, + -1, + -1, + -1, + 188413264, + 189060818, + -1, + 918372259, + 475838814, + 335509021, + 352268738, + 198212625, + 491855134, + -1, + -1, + 585481973, + 79074689, + 666861038, + 967413723, + 78906696, + -1, + -1, + 309630299, + 706024927, + -1, + 593911694, + 625160451, + 291454470, + 330053447, + 352215420, + 808243396, + 772268418, + -1, + -1, + 104849750, + -1, + 880158342, + 108560924, + 263753244, + -1, + 513831618, + 729562005, + -1, + 142348965, + 115220412, + 837601895, + 618268500, + -1, + -1, + 453227654, + -1, + 798300652, + 903357289, + 117995616, + 968676, + -1, + -1, + -1, + 857901657, + 207698117, + 18862434, + 9647809, + 87151976, + 843578605, + -1, + 381327680, + 40006081, + -1, + 478610329, + 565355893, + 200483362, + -1, + 381254813, + 343682878, + 625450568, + -1, + 824854098, + 198187270, + 182934449, + 513471152, + 684248343, + 197479224, + -1, + 203352346, + -1, + 535502758, + 507690475, + 534613620, + 54892539, + -1, + 185180679, + 279707767, + 746671012, + -1, + 182785307, + 150340071, + -1, + 632930328, + 55622446, + 305344297, + 281972089, + -1, + -1, + 705168024, + 148225325, + 904789106, + 692752238, + 721502209, + -1, + 707233261, + -1, + -1, + -1, + 389399920, + 380212477, + -1, + -1, + 921501359, + -1, + 59751138, + 831333075, + 629738022, + 824861913, + -1, + -1, + 346317530, + 228852133, + 970605127, + 566041668, + -1, + 558304232, + -1, + 341468651, + -1, + 312827250, + 686682607, + 808226734, + -1, + 476379045, + 155195695, + 688643086, + -1, + -1, + 116559628, + -1, + 291691482, + 644901210, + -1, + 181391371, + 351152610, + 366462616, + -1, + -1, + -1, + 572025064, + 524368055, + 289042818, + 306847541, + 327746892, + 696125211, + -1, + 948733182, + 290678798, + -1, + 303950991, + -1, + -1, + -1, + 717805447, + -1, + 919515753, + -1, + 349055617, + -1, + 172908371, + -1, + -1, + -1, + -1, + -1, + 142554066, + 300356941, + 212345044, + -1, + 594874359, + 556069526, + 765389254, + 901999245, + -1, + 582971226, + 920848771, + -1, + -1, + 730962415, + -1, + -1, + -1, + -1, + 985485178, + 23440718, + 758213240, + -1, + 515585783, + -1, + 620150650, + 600123359, + 16487423, + -1, + 321422731, + -1, + 929031635, + 16455806, + 983046537, + 519458253, + -1, + 168599162, + -1, + 270669379, + 165184476, + 939691226, + 16091689, + 205849529, + -1, + -1, + 148211658, + -1, + -1, + -1, + 517365809, + -1, + 150556778, + -1, + -1, + 408864453, + -1, + -1, + 556208801, + 216463887, + 176044996, + 610974287, + 513952428, + 365548827, + 938769573, + 181647022, + 301147397, + 809032716, + -1, + 887159345, + -1, + 607293660, + 795285, + -1, + 781387830, + 602365379, + 663681405, + -1, + 802644908, + 924842469, + -1, + 41440155, + 958764662, + 864152610, + 958091165, + 721475672, + -1, + 639721492, + 325519092, + 861604118, + 983306823, + 833426783, + 876056548, + 916658217, + 936673355, + 732237514, + -1, + 615100969, + 63982396, + 823792304, + -1, + 739483441, + 344511331, + 676899315, + 731238149, + 801890811, + 438662285, + -1, + -1, + 988554471, + 449668068, + 585263344, + 379348309, + -1, + 661995573, + 992329022, + 925955103, + 187348962, + -1, + -1, + 431434160, + -1, + 760086316, + 375872458, + 732639860, + -1, + 608623087, + 922981723, + -1, + 387417624, + -1, + -1, + 636912889, + 767313010, + -1, + 266170598, + 681853445, + -1, + 270638141, + 947415188, + 177025036, + -1, + -1, + 375752336, + -1, + -1, + 260111707, + 111303809, + 732767535, + 426721096, + -1, + -1, + 614612427, + 150103411, + -1, + 501154926, + 683926276, + -1, + 575877418, + -1, + 959605085, + -1, + 455985096, + 362702593, + 903996017, + -1, + -1, + 493895229, + 574612642, + 742763335, + 267040043, + 403983556, + 990046444, + -1, + 725258163, + -1, + 443570396, + -1, + 961502618, + 112644881, + 653878727, + 919062377, + -1, + -1, + 818735061, + 403759554, + 500246416, + 595465505, + -1, + -1, + 763053057, + 603499338, + 816352386, + -1, + 125487472, + 119845994, + -1, + 533286489, + -1, + 358702781, + -1, + -1, + 361738646, + 846381869, + 985026703, + -1, + -1, + 26920053, + 330259206, + -1, + 258527467, + 251080392, + 899873447, + 819314406, + 977495937, + 72791894, + 400647868, + -1, + -1, + -1, + 529209285, + 280009221, + -1, + -1, + 176415487, + 796798004, + 130197335, + -1, + 564423938, + 594325300, + -1, + 244615227, + 397477524, + 735005368, + -1, + 69893900, + 582478594, + 796403450, + -1, + 97336686, + -1, + 277663500, + 860078567, + 916319230, + 215062823, + 36401870, + -1, + -1, + 340190961, + 196304970, + 744756586, + 250863342, + -1, + 181237522, + -1, + 928663127, + -1, + 615551784, + 985281258, + -1, + 426130386, + 507587092, + 337126322, + -1, + 576752814, + -1, + 123540097, + 941825925, + 246739950, + 874982696, + 744167314, + 500613041, + 240458178, + -1, + 863496538, + 489161692, + 759444300, + -1, + 84500969, + 124665744, + 473066110, + 20545778, + -1, + -1, + -1, + -1, + -1, + 586347189, + -1, + 222221311, + -1, + -1, + 782978657, + 158185512, + -1, + 977896518, + 381777951, + -1, + 561952378, + -1, + 814705468, + 111593658, + 514649560, + 663063635, + 114432366, + 974237556, + 538266866, + -1, + -1, + 658566809, + 672045602, + -1, + -1, + -1, + 855598016, + 825353954, + 991429693, + 370626378, + 141382569, + 401485259, + 465317034, + 590056137, + 718265226, + 648640197, + 834064197, + 248100117, + 52596815, + -1, + 377114578, + 192400404, + 941559440, + -1, + -1, + 143776072, + 107328447, + -1, + -1, + 340207771, + 538788380, + -1, + 198874482, + 82952161, + 630403263, + 89290337, + 181517194, + -1, + 688394858, + 510047989, + -1, + 301095176, + 18448669, + 900932834, + 459665111, + 998989417, + 168095065, + 446960950, + -1, + 918816824, + 343168751, + 919490934, + 204785128, + 946379274, + 815668963, + -1, + 932035139, + 619520617, + 458193963, + -1, + 348555977, + -1, + 156960149, + 665878382, + 808368745, + 865627828, + 646030647, + 412395192, + 280982690, + 316687856, + 105102931, + 83718826, + 154954625, + -1, + 505444990, + -1, + 464271139, + 621768333, + 2310968, + -1, + -1, + 308877327, + -1, + 785845688, + 364941588, + 967241599, + 253347429, + 613355277, + 452256590, + 561538137, + -1, + 671601451, + 633724874, + 506474707, + 28895640, + -1, + 279007134, + 701262113, + 807760512, + 981110156, + 355740995, + -1, + 46684293, + 246601073, + 932622764, + 56072505, + 700010029, + 481513238, + 470262317, + 655943899, + -1, + 783234847, + 94906918, + 712421319, + -1, + -1, + -1, + 589594340, + 47511713, + 447198356, + 158606580, + -1, + 191552032, + 649732779, + -1, + 333826245, + 510612706, + -1, + 257705696, + 695801896, + 927011767, + -1, + 465894196, + 777156747, + 898423948, + 375332728, + 359145072, + 194090899, + 558148421, + 862659402, + -1, + 773089245, + 544904771, + -1, + 320796678, + -1, + -1, + 874150458, + 307983452, + -1, + -1, + 573228877, + 351660077, + 454791517, + 449494934, + 507078798, + 273141568, + -1, + 660762970, + -1, + 194090784, + -1, + 408155279, + 139352506, + -1, + 165124695, + -1, + 196953164, + -1, + 755105287, + 251556605, + -1, + 254862451, + 536454573, + 856795496, + 353544807, + 133639979, + 673694009, + 571988211, + -1, + 109214709, + -1, + 603433161, + 678936805, + 616428153, + 416784881, + 851289759, + 171890631, + -1, + 402224789, + 925242961, + 852956024, + -1, + 509120639, + 181843988, + 90012568, + -1, + 384260451, + 67904251, + 197137454, + 281215778, + 841215479, + 671388761, + -1, + 23700929, + 780750910, + 432987363, + 423365899, + 372557834, + 936068249, + -1, + 963089713, + 457277657, + 252529799, + 378487505, + 626091788, + 710104660, + 213476106, + 895500446, + 595214845, + 950388751, + 777444717, + 693718371, + -1, + -1, + -1, + 528853816, + -1, + 647982517, + 579038061, + 766494838, + 604259624, + -1, + -1, + 156250152, + 629469324, + 749967984, + 486697565, + 578098292, + 419494524, + 402149710, + -1, + 64266191, + 733304829, + 619466856, + 792194679, + 631602268, + -1, + -1, + -1, + 554107673, + -1, + -1, + 41752556, + -1, + 287869715, + -1, + 579854826, + -1, + -1, + 495803295, + -1, + -1, + -1, + 710856621, + -1, + -1, + 47758304, + 650385951, + 758992435, + 700469406, + 112699195, + 722451951, + 174664434, + -1, + -1, + 313972531, + 182572550, + 240222478, + 922315992, + -1, + -1, + 860740628, + 432629687, + 36663865, + -1, + -1, + -1, + -1, + 387899412, + -1, + 444941466, + 181569760, + 239773141, + 94534428, + 121473852, + 905626744, + -1, + 534757920, + 940894218, + 328614723, + 900688510, + 162780355, + 708578921, + -1, + 956413858, + -1, + 64744567, + 25287184, + 279186593, + 876831456, + 896689407, + 931003636, + 780171986, + 363012516, + -1, + 613951744, + 522987985, + 905353449, + 805537584, + 536145886, + 983564097, + -1, + 439688847, + 153872086, + 788777901, + 528904354, + 268015041, + 609114200, + 842421941, + -1, + 567184051, + 731192010, + -1, + 985640823, + 986691746, + 740340292, + 99162141, + 6234348, + 748907004, + -1, + 575786793, + 76246177, + 780954238, + -1, + 333673797, + 239377997, + 852159029, + 809655088, + 897946957, + -1, + 505458688, + 168554751, + 542867218, + 429155400, + 274670356, + 263406254, + -1, + 627405092, + -1, + 775054212, + -1, + 844497102, + -1, + 92053729, + -1, + 233692797, + -1, + -1, + 637111004, + 509338424, + -1, + 59077531, + -1, + -1, + 496974303, + 404043024, + 820638140, + 308039013, + 101478663, + 365908023, + 276915056, + 259790248, + 874817818, + 375101743, + 429630355, + 650156425, + -1, + 698956263, + 217366935, + 878769552, + -1, + 849845736, + -1, + 129464549, + 496921256, + 398047361, + 321478878, + 442673408, + -1, + -1, + 38106033, + 379759354, + -1, + -1, + 789297288, + -1, + 495934070, + 378615847, + 552229735, + 774591031, + 457366374, + 833939919, + 311359484, + 120516191, + -1, + 662211164, + 478314209, + 359319716, + 244513405, + 704605798, + 859456668, + -1, + 980025428, + 780046409, + 742004754, + 54240396, + 444277790, + -1, + -1, + -1, + 57843228, + -1, + 265754548, + 363354184, + 229117226, + 949157187, + 569883750, + 669537788, + -1, + 700706039, + 573683284, + 457515672, + 225182176, + 382312691, + 284385015, + 430868353, + 91540521, + 102017460, + 599732684, + 829238701, + -1, + 903242329, + -1, + 949500963, + 989103129, + 338163068, + 592627380, + 993152152, + 892536703, + 517466570, + 931879564, + 925782908, + 117601976, + -1, + 217136683, + 413707605, + 863650915, + 9266801, + -1, + 590423584, + -1, + 15690702, + 474416573, + 997085757, + 417833828, + -1, + -1, + -1, + 182279454, + 864943163, + -1, + 696655182, + 317391648, + 908451453, + 871196266, + -1, + 925858551, + -1, + 32246475, + -1, + 513974585, + -1, + 387083872, + 150629614, + 621018499, + 489779848, + 919826183, + 431988531, + 258906174, + 434031275, + 189841935, + 380367658, + -1, + 13587216, + 38298756, + 861552163, + -1, + 317456843, + -1, + -1, + -1, + 176797237, + 795392114, + 56372820, + -1, + -1, + -1, + 886513523, + -1, + 366408509, + 256993585, + 284024862, + -1, + -1, + -1, + -1, + -1, + 774006490, + 51865948, + 81358644, + 195538447, + 893808125, + 663392439, + -1, + 962574406, + -1, + 769801971, + -1, + 665545883, + -1, + -1, + 704360087, + 89545101, + -1, + -1, + -1, + 108897610, + 715569338, + -1, + -1, + -1, + 843268204, + -1, + 380831996, + 997181130, + -1, + 989145801, + 903394718, + 528842902, + -1, + 359774264, + 816907843, + -1, + 314201195, + 231726863, + 942216455, + -1, + 314701191, + -1, + 216363311, + 491693698, + 293826796, + 171101237, + 450313830, + 98044809, + 31241258, + 418829791, + 725654883, + 166721525, + 38624071, + 233022407, + 357388897, + 250388456, + 576344501, + 593776567, + 435055875, + -1, + 67064994, + 73550361, + 588126239, + -1, + 517680126, + 785334117, + 961675563, + 914986388, + 979500381, + 373707363, + 563443637, + 934099669, + 800918536, + 420548487, + 707230917, + 542702587, + 46958550, + 939213565, + -1, + 728451193, + 521329407, + 31960437, + -1, + 314719289, + 776338612, + 506339805, + -1, + -1, + 240723659, + -1, + -1, + 823339483, + -1, + 102392432, + -1, + 980940315, + 931896231, + 646689435, + 489509506, + 286051545, + 830626495, + 545244639, + -1, + 493423885, + 315002184, + 915308087, + 3777804, + -1, + -1, + -1, + 621328158, + 924050975, + 985064735, + 305156231, + 927991808, + 842598142, + -1, + -1, + 631028310, + 811901003, + 476524896, + 438261328, + 136607405, + 509435508, + 622842076, + 963817050, + 6152604, + 747089172, + 287296763, + -1, + 26913951, + 221785835, + 178509125, + -1, + 792829332, + -1, + 151735573, + 44493105, + -1, + 686901602, + 209188816, + 341356944, + 705434369, + 711145414, + 344135699, + 983069482, + 863724472, + 217507574, + 394513430, + -1, + 991514243, + -1, + -1, + -1, + 883134923, + 399137891, + 342114828, + 140963829, + 379838852, + 256032441, + 709474729, + 748233178, + 855628540, + 421175480, + 986327267, + 395226889, + 101581927, + 687464543, + 339142637, + 408419810, + 749601108, + 439358755, + 138071783, + 504518213, + 699125815, + 475810048, + 349802411, + 695706515, + 190424473, + 141061571, + 199663763, + 888690557, + 881748067, + 174305287, + 535203738, + 894917797, + 185692245, + -1, + 341408655, + 879568252, + 950694988, + -1, + 423664531, + 967071305, + 706149960, + 1910771, + -1, + 941039661, + 75725193, + 718282038, + 366950635, + 74062110, + 473007919, + 348724511, + 892553273, + 475814853, + 763375660, + 866717481, + 953266348, + -1, + 443682864, + 335951911, + 47068114, + 472707862, + 732612278, + 466382794, + 942600195, + 232273183, + 785398074, + 906162075, + 912666616, + -1, + 664310517, + 976092159, + 681993238, + -1, + 973636937, + 767290106, + 585792087, + 151702050, + 194068094, + 186405014, + 382923869, + 284509680, + -1, + -1, + -1, + 220447307, + 806241335, + -1, + 876921802, + -1, + -1, + 216817985, + -1, + -1, + 308065061, + 851037861, + 130102221, + -1, + 330700219, + 195894147, + 27800404, + -1, + 726719249, + 626274241, + 440403367, + 657100029, + 210918209, + -1, + 599628445, + 685878824, + 197249197, + 732901413, + -1, + 663051119, + -1, + -1, + 472499841, + 86171632, + 170203719, + -1, + 718949073, + 394255715, + 649313892, + 836383663, + -1, + 646899870, + 640958002, + 983250805, + -1, + 2701566, + -1, + -1, + -1, + 793223596, + 652455485, + -1, + 234025801, + 141022489, + 410941048, + 602216044, + -1, + 232045692, + 198323768, + 809542532, + 444952492, + 139516368, + 663075433, + -1, + 373312282, + 672789015, + 892001963, + -1, + 221755095, + 148403815, + 827083447, + 236004074, + 593209668, + 924241148, + 286632181, + -1, + 941525527, + 836013193, + 232238787, + -1, + 820276625, + 252436151, + 936274976, + -1, + 860926475, + 149348751, + -1, + 455046832, + -1, + 350775594, + -1, + 558454196, + -1, + 862676186, + -1, + 831056623, + 21345441, + 569416383, + 429328283, + 123012683, + 418869550, + -1, + -1, + -1, + 868769091, + -1, + 306144274, + 484122647, + 518865459, + 430795624, + -1, + 872151118, + 619582389, + 787839202, + 72280535, + 261137414, + 619751285, + 223769625, + 133853521, + -1, + 54548749, + 395983186, + -1, + 518208490, + -1, + -1, + 673809012, + 945071616, + -1, + 662361459, + -1, + 895550392, + -1, + 462722748, + 864161174, + -1, + 103060088, + 741335576, + 471817670, + 145029613, + 843900857, + -1, + 534085010, + 10450793, + -1, + -1, + -1, + 642698382, + -1, + -1, + -1, + -1, + -1, + 612091632, + 22152831, + 973879826, + 792495171, + 739757969, + 637364546, + 17417274, + 10718200, + 513530078, + 368063741, + 455987819, + 959240325, + 547074745, + 68303364, + -1, + 649319368, + 953026711, + 164147123, + -1, + 835616822, + 126565136, + 805268931, + -1, + 619360429, + 837362116, + -1, + 673333719, + 963313654, + -1, + 404406803, + 101897327, + 337055687, + 159978650, + 884550595, + -1, + -1, + 725968341, + 281153231, + 320130453, + -1, + -1, + 26383309, + 479036212, + 864301877, + 783402248, + 986927538, + -1, + 732910236, + -1, + -1, + 599505292, + 556999251, + 412717570, + 258150792, + 985757277, + 660075259, + 947721221, + 278358479, + 819416375, + 668850274, + -1, + 479557180, + 32489715, + -1, + -1, + 212181587, + 627122675, + 94011831, + 525884279, + 74748174, + 384626713, + -1, + 372105338, + -1, + 469367199, + -1, + -1, + 517791595, + -1, + 970472138, + 625992326, + 386908849, + 457913599, + 97705405, + -1, + 10883086, + -1, + -1, + 623222167, + 151107690, + 439850958, + -1, + -1, + 436420992, + -1, + -1, + 995820668, + -1, + 498378907, + -1, + 717773713, + 949006561, + -1, + 932865008, + 974967933, + -1, + 492504491, + 378366209, + -1, + 324916449, + 580876719, + 208704859, + 590331844, + -1, + 579152047, + 339117603, + 422062102, + 296372087, + 927596837, + -1, + 390722667, + -1, + -1, + 63552910, + -1, + 556979157, + -1, + 953569869, + 299385510, + 466778626, + 481183389, + -1, + 1191080, + -1, + -1, + -1, + 102277464, + 509028755, + 115963930, + 673125346, + 689034604, + 275778322, + 812846206, + 458236902, + 391931077, + 214083957, + 872822715, + -1, + -1, + 740465865, + 161514900, + -1, + 820311946, + 889202075, + 162234230, + 11255125, + 199883508, + -1, + 686950899, + -1, + -1, + 24833455, + 274743884, + 69729990, + -1, + 885155486, + 448355062, + 224364452, + 708068902, + 258414881, + 726024278, + -1, + -1, + 791018830, + 8752735, + 308269842, + 842163134, + 914839270, + 107995738, + 757040205, + 289278492, + 910662811, + 480472485, + 811585887, + 169679964, + 523456725, + -1, + 932051819, + 238993892, + 533559713, + -1, + 542950375, + 121683639, + 254740231, + -1, + 759221060, + -1, + -1, + 829786216, + 688307787, + 553508506, + 702853802, + 63595, + 911902818, + 921716784, + 32635459, + -1, + -1, + 800124253, + 299835457, + 498452012, + 504810415, + 928596374, + 895846119, + -1, + 5084421, + 67699780, + 558723465, + 983694211, + 280337623, + -1, + 378550246, + 652884550, + 294213958, + 199018991, + 750047299, + 605736375, + 757742866, + 526205, + 499548425, + -1, + -1, + 947854703, + 639090981, + 653982021, + 779790813, + -1, + -1, + -1, + 861036185, + 809470373, + -1, + 222748040, + -1, + 882160948, + 133596229, + -1, + 391646451, + -1, + 522136341, + -1, + 903991757, + 174522876, + 811904355, + 675366314, + -1, + -1, + 7273017, + 334813347, + 349316871, + 244975181, + 56242685, + -1, + -1, + -1, + -1, + 714757080, + 201772804, + -1, + 319508917, + 166427773, + 567902939, + 198729972, + -1, + 478256175, + -1, + 134384277, + 524775163, + 76056924, + -1, + 261690507, + 879312557, + -1, + 281659215, + 383744247, + 380577197, + 28008925, + 521717681, + -1, + -1, + -1, + -1, + 3213179, + 889245955, + 399063454, + 966270310, + -1, + 331615769, + 881140999, + 179681967, + 944863850, + 257823304, + 755854607, + -1, + 880278615, + -1, + -1, + 380957643, + -1, + 775421806, + 813745530, + 743685073, + 879045018, + 170660393, + -1, + 452246145, + -1, + 202306617, + 289649934, + 292345269, + -1, + 103827322, + 812175976, + -1, + -1, + 946670891, + 219527469, + -1, + 630306535, + 684024881, + -1, + -1, + 214149321, + 187250776, + 537831803, + -1, + 359703366, + -1, + -1, + 397459106, + -1, + 84992769, + 243611814, + 466374814, + 840291546, + 817067451, + 504592154, + 952291281, + 767022705, + 945563203, + -1, + -1, + 639634004, + 63443882, + -1, + -1, + 734344746, + 12062677, + 896812419, + 410524951, + 647435088, + 44946808, + -1, + -1, + -1, + 246329625, + 711445360, + 678943154, + -1, + 443532008, + 307788842, + 128199329, + 343495556, + 555810611, + -1, + 586332140, + 43622449, + 195282186, + -1, + -1, + -1, + 551588492, + -1, + 924744336, + 333141768, + 601556780, + 606454094, + 756977779, + 810568895, + -1, + 915233365, + 462197875, + -1, + 59837075, + -1, + 325396747, + 153124242, + 800147575, + 520077616, + 368783692, + 966003977, + 78782850, + 334866103, + 946571971, + -1, + 325088960, + -1, + 541620246, + -1, + 421661696, + -1, + 904439880, + 152978919, + -1, + -1, + 899139034, + 745003346, + -1, + -1, + 700851992, + 125818224, + 749960143, + -1, + -1, + 126459112, + 898045701, + -1, + -1, + 956328858, + 676672027, + 340952450, + -1, + 366662782, + -1, + 841294772, + 884632965, + 501868543, + 150937962, + -1, + -1, + -1, + 207429817, + -1, + 991269099, + -1, + 657350276, + 915194010, + 420463000, + 812251473, + 496471763, + -1, + 726199738, + 12919758, + 995734382, + -1, + -1, + 764241707, + 904464174, + -1, + 860618352, + 715088517, + 163661548, + 138928693, + 532120063, + 675596143, + 220669158, + 357997861, + 528547928, + 269085686, + 81636394, + 156862004, + 398617698, + 378817964, + 3130242, + -1, + -1, + 665371234, + -1, + -1, + 759627907, + 135504076, + 131175312, + 664596074, + -1, + -1, + 480290477, + -1, + 557995266, + 417311619, + 872731627, + 51338511, + -1, + -1, + -1, + 678342138, + -1, + -1, + -1, + 580368301, + 769473431, + 825772746, + 631517261, + 290790638, + -1, + -1, + 282363333, + 492055637, + 903971984, + 964967432, + -1, + 549275472, + 79540841, + 940995804, + 58901402, + 483618268, + 619688347, + -1, + 45286029, + 133504130, + -1, + 960843021, + 998197079, + 57730609, + 375807818, + 388566926, + 155798213, + -1, + 909528374, + 960976620, + 751980443, + 292461003, + 273416956, + 442718485, + 306499620, + 904404347, + -1, + 514825967, + 631153967, + 667416082, + 419721146, + -1, + -1, + 604951318, + -1, + -1, + 28328557, + 272867823, + -1, + 324920735, + 256310112, + -1, + -1, + -1, + 735365077, + -1, + 134721149, + 21035996, + 959347017, + -1, + 722316144, + -1, + 364737592, + 501917292, + 202428659, + -1, + 430292995, + -1, + 164364260, + -1, + 492100949, + 867626249, + -1, + 609402173, + 29866383, + 304383536, + 147248148, + 383126258, + 423768043, + 254693006, + -1, + 721996114, + -1, + 307954261, + 806850286, + 133117074, + 156509394, + 574921390, + 550046603, + 769453667, + 909374187, + 310751596, + 221860492, + 609960205, + 48707960, + 658073772, + -1, + 31072614, + 277842972, + 363435527, + 205913041, + 198110086, + 254023325, + 602747133, + 85132713, + 562154053, + 387132804, + -1, + 719544725, + 416867484, + -1, + 232924896, + -1, + 202338404, + 310735225, + 964122815, + 778759023, + -1, + -1, + 618049749, + -1, + 621190546, + -1, + 681126068, + 269842897, + 526488652, + -1, + 12453256, + -1, + 722094871, + 439078638, + 995278718, + 302439033, + -1, + 288722574, + 238979826, + 291498914, + 801749889, + 110532261, + 662796214, + 754215907, + 571627484, + 400404343, + -1, + -1, + 508668829, + 474841235, + 839930213, + 675361106, + 83632941, + 486994267, + -1, + 860880723, + -1, + 189685219, + -1, + 738046747, + 470112842, + -1, + 222820992, + 119886406, + 154378636, + 939808653, + 370096983, + 379512678, + 12515222, + 878522268, + 45821791, + -1, + -1, + 687339532, + 811697466, + -1, + -1, + 140304775, + 4707226, + -1, + 415810712, + 754790623, + 907377358, + 627320814, + -1, + 639894360, + 828986858, + -1, + 843173765, + 335817440, + 310543379, + -1, + 825782338, + 796995331, + 972398548, + -1, + 416497413, + 755972265, + 398825837, + 100296172, + 859867726, + -1, + 878157063, + -1, + 708813445, + -1, + 820211345, + -1, + -1, + 433641912, + -1, + -1, + 992918398, + 632028217, + -1, + -1, + -1, + 669368985, + 260851329, + -1, + 760386127, + 431939992, + 673502542, + 641209274, + 312585988, + -1, + -1, + 163408078, + -1, + 80691093, + 539471783, + 868919292, + 981290758, + -1, + 745325226, + 698544367, + -1, + -1, + 791064668, + -1, + 529211212, + 99444459, + 200538536, + 162478341, + 957414444, + 533049671, + -1, + 101725150, + 411289993, + 766528192, + 612171548, + 899863180, + -1, + 602443623, + -1, + -1, + 346386106, + -1, + 151304224, + 676798605, + 464137425, + 776587964, + 817464525, + -1, + -1, + 487089592, + 848384898, + -1, + 267742964, + -1, + 894250249, + 693695484, + 109394559, + 273539068, + -1, + -1, + 754165546, + 416169479, + 541335246, + -1, + 64171438, + 610936708, + -1, + -1, + 261161605, + 273397525, + -1, + -1, + 138512827, + 23914437, + 277939764, + 350899112, + -1, + 277633438, + -1, + -1, + 384362011, + 32340936, + 678420766, + 929830220, + -1, + 914614597, + 451111035, + 386623263, + -1, + 479121922, + 434153952, + -1, + -1, + -1, + 399039480, + 833406426, + -1, + -1, + 11237252, + 395778328, + 637797649, + -1, + -1, + 136787002, + 336578528, + -1, + 484661959, + -1, + 272276104, + 604248917, + 8809799, + 722766917, + 234843405, + 932313923, + 68878621, + 525244811, + 246829261, + -1, + 892953355, + 14007235, + 863802288, + 670788782, + -1, + 863896881, + 483346145, + 622951907, + -1, + 563619445, + 12935353, + 965796276, + -1, + -1, + -1, + 880114016, + 585845174, + -1, + 38992223, + -1, + 426728635, + 380961219, + 732929058, + 216183013, + 720092392, + 999502406, + 486675599, + -1, + 161510563, + 451136409, + 271155547, + 249088071, + 545035991, + -1, + 500027510, + 278469727, + -1, + -1, + 785206709, + -1, + -1, + 656064316, + -1, + 566412534, + 268897903, + 739352594, + -1, + 301056421, + 3399138, + -1, + 298550220, + 496543901, + 904154063, + 413452589, + -1, + -1, + 100988613, + 189645375, + -1, + -1, + 423860145, + 12335009, + 374248284, + 560916837, + -1, + -1, + 678688588, + 470178556, + 81675555, + 234649560, + 142361429, + 731497758, + 924059745, + 220837310, + -1, + 622086021, + -1, + -1, + 813064386, + 45771480, + 829899491, + 617164299, + 868634522, + 128627535, + 126191615, + -1, + -1, + 811603229, + -1, + 605981444, + 725987474, + 909125141, + 164089649, + 923097493, + 940912951, + 654469793, + 419498966, + 904863157, + -1, + 6694469, + 918989121, + 642070534, + -1, + -1, + -1, + -1, + 459939733, + -1, + -1, + 487340461, + -1, + 601269615, + 116167956, + 154888230, + -1, + 869529920, + 141465932, + 159170080, + -1, + -1, + 688263642, + -1, + 404426399, + -1, + 293179121, + 931330095, + 49086471, + -1, + 547454510, + 133338711, + -1, + 203582543, + 458945021, + 747128414, + 492479276, + 285574585, + 701709680, + -1, + 165232910, + -1, + 51732478, + -1, + 840742160, + 95016870, + 920365091, + -1, + 179213060, + 814176912, + 219743631, + 679521011, + 753320911, + 54984859, + 301656827, + 823507467, + 300990996, + 418197346, + 820549051, + 884591834, + 68040581, + -1, + -1, + 831714105, + 195079633, + -1, + 696167586, + 967442812, + 855445942, + -1, + 821031829, + 576170937, + 500157182, + 89969556, + -1, + -1, + -1, + -1, + 327851453, + -1, + 940440703, + 608489903, + 466270220, + 132935161, + 991330333, + -1, + -1, + -1, + 263047935, + 952165128, + 51913481, + -1, + 934995269, + 132801309, + 787593717, + 731372755, + 582064378, + -1, + 382306817, + 113089980, + -1, + 36514120, + 237485905, + 575525113, + 346743311, + -1, + 186033732, + -1, + 580753141, + 235885120, + -1, + 189560013, + -1, + 821777494, + 251802206, + -1, + 62698662, + 588808198, + 263339871, + -1, + 256744629, + 736207077, + 615257413, + 559786306, + 103085887, + 957649688, + 67607245, + -1, + 266193973, + 464258226, + 31644964, + 62628746, + 155967283, + -1, + 850117837, + -1, + 308001357, + 380427959, + -1, + 411694687, + 815678451, + 587885522, + 543724396, + 586287604, + -1, + -1, + -1, + -1, + 524607427, + 459833804, + 932527110, + 16762249, + 848685301, + 667209155, + 136029558, + 390471248, + 912018853, + 777884706, + 98295126, + 632775973, + -1, + 676465010, + -1, + 1268948, + -1, + 898921803, + 259278529, + 164383703, + -1, + 639027184, + 183820878, + 431283115, + 676973098, + -1, + -1, + 244885681, + 813102165, + 751832263, + -1, + 802221302, + -1, + 831830797, + 201884733, + 400350710, + -1, + 339235605, + -1, + -1, + 156701044, + 729327003, + 183643089, + 795946089, + 360927604, + -1, + 50536902, + 975060567, + 566913882, + -1, + 347360051, + 904388001, + 13040809, + -1, + 621055930, + 936540899, + 721956902, + 467665241, + -1, + 436522070, + 369881499, + 180211953, + 190423565, + -1, + -1, + -1, + 993173088, + 791791277, + 772888948, + 526506183, + -1, + -1, + 703155879, + 787502546, + 691140491, + 321829820, + 904353719, + -1, + 431960082, + -1, + 39129825, + 149529284, + 309486942, + 204946903, + 966916873, + -1, + -1, + 705113208, + -1, + 944328453, + 259325894, + 727354878, + 674259722, + -1, + 383040003, + 945998571, + -1, + 21150806, + -1, + -1, + -1, + -1, + -1, + -1, + 353284020, + 699754941, + -1, + 165738653, + -1, + 597740398, + -1, + 560716012, + 469411813, + 195806310, + 516253325, + 91329586, + -1, + 893030179, + -1, + -1, + 122245984, + 402371622, + 897189897, + -1, + -1, + 46379140, + 899481494, + 32854777, + -1, + -1, + -1, + -1, + 456009540, + -1, + -1, + 137094094, + 750816802, + 844026104, + 862067182, + -1, + -1, + 144020078, + 859240346, + 18800238, + 136476577, + 682084912, + 123763149, + 528632523, + 79261485, + 191138891, + 647015810, + -1, + -1, + -1, + -1, + 701679959, + -1, + -1, + 227836650, + -1, + 828279998, + 185532662, + 609079688, + 525664416, + 249460308, + 847798613, + 319164632, + 467428377, + 68468531, + 720848677, + -1, + 938055729, + 911941059, + 516251193, + 336091469, + 232686674, + 559047098, + 32446126, + -1, + 27549185, + 985888606, + 699949757, + 637817740, + 492651174, + 825759237, + 487659188, + -1, + 579922850, + 550573993, + -1, + 849156674, + 910519389, + -1, + -1, + 425288343, + 660427153, + -1, + 675749685, + 649456834, + 758733817, + 221750921, + 939553101, + 920399659, + -1, + -1, + 389523577, + 320974174, + -1, + -1, + -1, + 990051264, + 116019547, + 595855433, + 646388430, + 113768712, + 312875068, + -1, + 871836467, + -1, + 770570849, + 485555734, + 824910812, + -1, + 367697887, + 356524769, + 243852297, + -1, + -1, + 527644781, + 940975493, + 779714500, + 563969087, + 380056729, + 287669523, + 321731491, + 46825086, + 121713370, + 498256314, + -1, + -1, + 140917336, + -1, + -1, + 912045888, + 61553698, + -1, + -1, + 369164176, + 164516559, + 847889326, + -1, + 986984365, + 310157681, + 674444542, + 340839240, + -1, + -1, + 152260419, + 769413268, + -1, + 903426796, + 536282984, + -1, + 921925325, + -1, + 736370501, + 720042354, + 214638388, + 119097685, + -1, + 633961398, + 619247490, + 528324519, + -1, + -1, + -1, + 264769671, + 663081384, + -1, + 263918892, + 849465346, + 585333654, + 625549333, + 516436958, + 929510676, + 628680582, + -1, + -1, + 986560197, + 903774194, + -1, + 845196799, + 231379326, + 401688257, + 265705258, + 386447715, + 411644520, + -1, + -1, + -1, + -1, + -1, + 597867759, + -1, + 99729688, + 559169351, + 954035308, + -1, + 920985301, + -1, + 610640732, + 753315047, + -1, + 644854821, + 551536099, + -1, + 631895602, + 120827697, + 747377138, + -1, + -1, + -1, + 611295550, + -1, + 498139706, + 576605833, + 177449719, + 135773623, + 560872560, + -1, + 638663803, + 927239474, + -1, + 890251694, + 408954866, + -1, + 324602252, + 376280082, + -1, + 823701039, + -1, + -1, + 616234096, + 389131114, + -1, + 503776455, + 350148158, + 4594008, + -1, + 896514527, + 14003247, + 879098282, + 748036880, + 626821212, + 634476998, + 371522719, + 369074236, + 2796566, + 972262455, + 570783993, + 962572004, + 506630837, + 401149695, + 297175874, + 630736275, + -1, + 481369128, + -1, + -1, + 785712686, + 869245253, + 189397880, + 88189350, + 582133594, + 500626411, + 832534628, + 303589731, + -1, + 721216000, + 411560342, + -1, + 417056714, + -1, + 37586174, + -1, + 761440880, + -1, + -1, + 585095077, + -1, + 271512659, + 816834981, + -1, + 631266823, + -1, + 276780661, + 436415629, + 937504395, + 610017190, + 169539635, + -1, + 290797342, + 401491951, + -1, + -1, + 354330567, + 99166207, + -1, + 731863159, + 41593909, + 999917005, + -1, + -1, + 96006925, + -1, + 104145723, + 653663697, + -1, + 57859208, + 231430183, + 130310577, + 597967584, + 943307852, + -1, + 342132338, + -1, + -1, + 49930106, + 214047522, + -1, + 881369309, + -1, + 353030018, + 599625880, + 239558046, + -1, + 837161298, + -1, + -1, + -1, + 881594686, + -1, + 321211590, + -1, + 597397629, + 607875861, + 470908598, + 267508083, + 147311220, + 254057187, + -1, + 601328378, + 427064218, + 504861305, + -1, + -1, + 966025715, + 540117020, + -1, + 591406988, + 958049662, + -1, + 244136397, + 21210279, + 478799572, + 728004110, + 712276832, + -1, + 823397963, + 242046511, + 65911752, + 364341667, + 37220058, + 468707780, + 159002555, + 26126581, + 427563528, + 753007296, + 714671634, + 343661544, + 268331942, + 476405665, + -1, + 256789736, + -1, + 933551269, + 585859114, + 988421106, + 491006178, + -1, + 937403318, + 429435419, + 745139175, + 548383112, + -1, + 217398840, + 757822160, + 690864790, + -1, + 113363716, + 667516015, + 772331364, + 634066254, + 620280188, + -1, + 39089688, + 272551689, + 689384510, + 342315255, + -1, + 604874831, + -1, + -1, + 873921312, + 290279214, + 39939564, + 14653472, + 873062195, + 114483443, + -1, + 10323287, + 204924779, + -1, + 788560357, + -1, + 731580901, + 391658073, + 112660962, + 807751565, + -1, + -1, + 314873461, + 872312425, + 396204326, + -1, + -1, + 513028301, + -1, + -1, + 357514032, + 853857766, + 714701068, + -1, + -1, + 697621458, + 900227264, + 897825109, + 125429362, + -1, + 39236078, + 496348997, + -1, + -1, + -1, + 347868514, + -1, + -1, + -1, + 859901658, + -1, + 571850971, + -1, + 91508010, + 847519362, + 93044075, + -1, + 681597785, + 791542460, + 366156, + 656179706, + -1, + 241798131, + -1, + 94776828, + 961357871, + -1, + 719685195, + 515572958, + -1, + -1, + -1, + -1, + -1, + 389773207, + 835784054, + -1, + -1, + 516017471, + 516174544, + 238803564, + 213586544, + 65938046, + 108225681, + 702661880, + 534667700, + 404762326, + -1, + -1, + 167987307, + -1, + 524117254, + -1, + 350858083, + -1, + 106514376, + 506201527, + 158260268, + 688245776, + -1, + 580076619, + 925386138, + 238743836, + -1, + 35271149, + -1, + 427266212, + -1, + 39981351, + 46199360, + 497455241, + 696194256, + 120165644, + -1, + -1, + 814623057, + 523999579, + 260368802, + 799507944, + -1, + 211227009, + -1, + 106267235, + -1, + 732914051, + 599720769, + -1, + -1, + 816608454, + 283877609, + 908167118, + 685195697, + 955107648, + 818321846, + -1, + 199571488, + 296771459, + 139146601, + -1, + 295244995, + 531713539, + 220699411, + 448201138, + 421806628, + -1, + 772509368, + 98227380, + 365446167, + 916781804, + 9321985, + 821025970, + -1, + 985426850, + -1, + 516328831, + 856652729, + 297072484, + 60218520, + 990886581, + -1, + 862434001, + 95108222, + 159087064, + 409221857, + 71051838, + -1, + 137516187, + 606887437, + 870030160, + 622267952, + 55595581, + 221803737, + 680578003, + -1, + 268883144, + 396807954, + 35143271, + 624904774, + 577707482, + 867024807, + 850912492, + 3579511, + 330676211, + -1, + 304462525, + 449264319, + 101922951, + 510049897, + 245939500, + 686955631, + -1, + -1, + 248375062, + -1, + 262306040, + -1, + 931037580, + 619898676, + 923505463, + -1, + 412212464, + 358520528, + 330287176, + -1, + 886752279, + 624211564, + 596908448, + 791573145, + 453563502, + -1, + 754519082, + 688558621, + 17287675, + -1, + 554801134, + 279192069, + -1, + 956373933, + 508927003, + 128194057, + 533519373, + 464705462, + 454146714, + 638249228, + 463338807, + -1, + 394030415, + 783796496, + 781764348, + 635121717, + 798094833, + 392098304, + -1, + 586603083, + -1, + -1, + 807856750, + 678031528, + 367007700, + 333191997, + 760100067, + 622327961, + 410418198, + 810003504, + 707951142, + 137664804, + -1, + 972021841, + 223723708, + -1, + 773210044, + 493320681, + 540572790, + 229562460, + 810033408, + 601750162, + 110748097, + -1, + 58942557, + 770445492, + 689310889, + 322928431, + 958963889, + 363740047, + -1, + 294171016, + 595049602, + 393987414, + 579041940, + 751272361, + -1, + 831866427, + 718928811, + 43850765, + -1, + 739736135, + 57166583, + 861642380, + 857886265, + 709382032, + 946847050, + 131928104, + 429488863, + -1, + 792995414, + -1, + 379345601, + 842142446, + 509712640, + 661840714, + -1, + 95210204, + 827450065, + 870455106, + 347795619, + 136990369, + 99050639, + 362341108, + 892384089, + -1, + 209164949, + -1, + 520457432, + 486015776, + 864332584, + -1, + 306792135, + 101461767, + 261678439, + 336878340, + 446851796, + -1, + 428177422, + 15065542, + -1, + 424889861, + -1, + 110894455, + -1, + -1, + -1, + 317745045, + -1, + 920771835, + 283101112, + 305144775, + 936382469, + -1, + 909441858, + 729323041, + 763142388, + 704275532, + 100569966, + 97267789, + 205683470, + 49485442, + 42342078, + -1, + 121786162, + 390079807, + 285894578, + -1, + -1, + 83570854, + 859513618, + 734466432, + 805000939, + -1, + 568114222, + 47278878, + -1, + 455085765, + 32286805, + 378506892, + 400080906, + 297229463, + 493249461, + -1, + 154878200, + 155335461, + -1, + -1, + 589619414, + 407063182, + 489617607, + 677318974, + -1, + -1, + -1, + 317970679, + 617401425, + 582491911, + -1, + 441840975, + 877052053, + 27300798, + 636009506, + 750158626, + 674447430, + 873132060, + 67050169, + -1, + -1, + -1, + -1, + 9945065, + -1, + -1, + 856732248, + 155450083, + 462479188, + 667888921, + 40187616, + 209405753, + -1, + -1, + 301503942, + 306030368, + 351514393, + 348946497, + 257322450, + -1, + -1, + -1, + 966870054, + 589944712, + -1, + 475601738, + 967602875, + 77629945, + 120315820, + 241408639, + 669191934, + 439993587, + -1, + -1, + -1, + 439635127, + 140847638, + 173716212, + 667200395, + 851861782, + -1, + 524933986, + 26548511, + 976805660, + -1, + 300426678, + 828842755, + -1, + 283496224, + -1, + 602809754, + -1, + 360237135, + 107838139, + -1, + -1, + 126022090, + -1, + 126484908, + 597584807, + 856009718, + 393947865, + 298050401, + 910517492, + -1, + -1, + 305987479, + 967749084, + -1, + 698965607, + 393875304, + 185341103, + -1, + 55736525, + -1, + 679786872, + -1, + -1, + 800958917, + 786934538, + -1, + 775603427, + -1, + 727369646, + 262440427, + -1, + 116006278, + -1, + 528531769, + -1, + -1, + 489574816, + 507394025, + 423021276, + 309836930, + 590817463, + 447597458, + 778167391, + 526084393, + 564770336, + 940942171, + 968262011, + -1, + -1, + 38865220, + -1, + 706128265, + 756486043, + 186552003, + -1, + 398219932, + 663480243, + 76488713, + -1, + 542252097, + 671444464, + -1, + 344258064, + -1, + 675626927, + 588311510, + -1, + 55132949, + 466809853, + -1, + 527846270, + 269414698, + -1, + -1, + 704534352, + -1, + 714417792, + 771730149, + 628207020, + 526620444, + 503901283, + -1, + 687736701, + 949116467, + 168066075, + 843130340, + 721087837, + -1, + 395402295, + 453432362, + 668929611, + 395258495, + 189437495, + 900209942, + 824239171, + 539277123, + 524249067, + -1, + 790964139, + 637640499, + -1, + -1, + 264606866, + 52108150, + 972281472, + 662025371, + 256033268, + 789066897, + 29589875, + 892562892, + -1, + -1, + 242585468, + 799918344, + 882685656, + 639843309, + 767585918, + 191187812, + 338405219, + 121127874, + 610983115, + 881628089, + 6742591, + -1, + -1, + 529387680, + 640643711, + -1, + 718344569, + 701851186, + 878079392, + 152116401, + 84520839, + 810064005, + -1, + -1, + 633843637, + -1, + 977900437, + -1, + 469865144, + 105566789, + -1, + -1, + 397138586, + 223126323, + -1, + 484977215, + 618409470, + 660927836, + 345106803, + 187545139, + 256795249, + 589472419, + -1, + -1, + 490604026, + 874887733, + 125040753, + 128839292, + -1, + -1, + 675028629, + 93701916, + 233114536, + -1, + 557797879, + 122401349, + 181562109, + 958951285, + -1, + 966839064, + -1, + 282700026, + 301009648, + 610306619, + -1, + 629946052, + 578849585, + -1, + 492044639, + 462276631, + 90288671, + 324972643, + 372818743, + 661185263, + -1, + 618541329, + 945131859, + 819385771, + 969436813, + 22178981, + -1, + -1, + 702671504, + 925538126, + 385257977, + 797079672, + 550633744, + -1, + -1, + 161224385, + 723390629, + 382389954, + 115366406, + -1, + 940040649, + 493396506, + 240884704, + 376493189, + 468872959, + -1, + 354206174, + 767944942, + -1, + 283628329, + -1, + -1, + -1, + -1, + -1, + 49786177, + 569143201, + 436139953, + -1, + -1, + 273374325, + 780731981, + 576995675, + 877853448, + -1, + -1, + -1, + 58024936, + -1, + 712149581, + 863723324, + 744270010, + 251588512, + 379275265, + 12177630, + -1, + 72598417, + 81353880, + -1, + -1, + -1, + -1, + 583868959, + 302039393, + 160756481, + 561718633, + 215047039, + 551233565, + -1, + 842406870, + 118639627, + -1, + 472553620, + 994840721, + 693803899, + 377362703, + 960577533, + 177836693, + 576656765, + 792480998, + -1, + 642586626, + -1, + -1, + 639310788, + 950906079, + 898344090, + -1, + -1, + 250920440, + 661410142, + 991919868, + 11345018, + 171079485, + -1, + -1, + 385094816, + 384717299, + -1, + -1, + -1, + 684804689, + 179801056, + -1, + 331706345, + 598972578, + 879274177, + 412834783, + 345135595, + 854020182, + -1, + 861818251, + 10511852, + -1, + -1, + 112720454, + 390817216, + -1, + -1, + -1, + 285906404, + -1, + -1, + 902175788, + 278505022, + -1, + -1, + -1, + 36393401, + -1, + 572010487, + 825749955, + 280952272, + 689767078, + -1, + -1, + 678492112, + 413051930, + -1, + 950126204, + 12768468, + 509583065, + -1, + 892409781, + 511213840, + 209034742, + 691036330, + 474615, + 129472940, + 379880931, + -1, + 18328975, + -1, + 827049591, + 429736039, + 535962121, + -1, + -1, + 224711923, + 579407919, + 270805788, + 543141914, + 828366823, + 343603598, + -1, + -1, + 498941600, + 593076504, + 45430179, + 745986099, + 225531897, + 632748600, + 819183980, + 774365126, + 507641100, + 593838682, + 943093319, + 74893130, + -1, + 871414897, + 136529249, + 559125038, + -1, + 244942066, + -1, + -1, + 811534230, + 135018822, + -1, + 191832430, + -1, + -1, + 825916943, + -1, + 571218114, + 182976031, + 961273690, + 277795158, + 554647099, + -1, + -1, + 423465397, + -1, + -1, + 598620426, + -1, + -1, + 570738493, + -1, + -1, + -1, + -1, + -1, + 356464900, + -1, + 45131535, + 369397610, + 469655347, + 840852645, + -1, + -1, + -1, + 110732266, + 534398429, + 462214445, + 49341837, + 851098280, + -1, + 341728709, + 958634134, + 894558947, + -1, + 184986416, + -1, + -1, + -1, + 584600350, + 862317186, + 226451246, + -1, + 875632780, + 631474616, + 74499357, + -1, + -1, + -1, + 55304731, + -1, + 501327485, + 775075107, + 215698135, + -1, + -1, + -1, + 531020605, + 874124734, + -1, + 456424981, + 242894040, + -1, + -1, + -1, + 247320096, + -1, + -1, + 272757237, + 288878235, + -1, + 18843930, + 643864022, + -1, + 154159921, + -1, + 955917966, + -1, + -1, + 836028272, + -1, + 995583559, + 530839452, + -1, + 387734181, + 659209160, + 922215801, + 540686064, + 650462220, + 567274229, + 58836692, + 566267017, + -1, + -1, + -1, + -1, + 666140252, + 641792670, + 593681120, + -1, + 648055505, + 986115380, + 470979269, + 428857119, + -1, + 794829243, + 997869025, + -1, + 745267687, + -1, + 922811863, + -1, + 829419654, + 521169746, + 11830170, + -1, + 548148413, + -1, + 737046210, + 736598335, + -1, + -1, + 10909873, + 340622527, + 218318642, + 142372033, + 602939852, + -1, + 465776036, + -1, + 290377425, + 966938690, + 752420107, + 811732054, + -1, + 332113041, + 184923240, + 105811170, + -1, + 518010055, + 735675586, + 248917814, + 564386842, + -1, + 450222849, + 779218780, + 421659335, + 684344891, + 812814792, + -1, + 142889144, + -1, + 13893847, + 566195223, + 995381447, + 77182958, + -1, + 562271941, + -1, + 740288518, + -1, + 61803786, + -1, + 501496590, + 661598340, + 976696231, + 330714256, + -1, + 885814531, + 218520809, + 33181435, + 612307415, + 854406433, + 632885437, + 470609048, + 708272703, + -1, + 891556328, + 406920532, + 883512313, + 724549334, + 756196604, + -1, + 617833855, + -1, + 643577810, + 839074926, + 314707403, + 256782670, + 446887358, + -1, + 615135337, + 665997215, + -1, + 394032744, + -1, + -1, + 504373189, + -1, + 867710850, + -1, + 590331633, + 458805643, + 362821666, + -1, + 50472269, + 639126595, + 665610801, + 675736026, + 52200124, + 884492569, + -1, + 447649141, + 116932725, + 239989343, + 751739454, + -1, + 775320272, + 730956888, + 145914072, + 368248553, + 289100471, + -1, + -1, + -1, + -1, + 228292463, + 330635856, + 529910432, + 484059957, + -1, + 901530502, + 963483067, + 763269877, + 617094561, + -1, + 298095486, + 834468563, + 896860277, + -1, + 900966575, + -1, + -1, + 850039201, + 603709129, + -1, + -1, + 118877101, + 592221041, + -1, + -1, + 10545442, + -1, + 741527477, + 827943509, + 232405163, + 458013733, + 502881918, + 166401106, + 892141550, + -1, + 716988918, + -1, + -1, + 531862305, + 111944053, + 283233622, + 540695046, + 661579782, + 81105120, + 927724187, + 922726949, + 773375555, + 292910677, + 439651814, + 438263585, + 765762435, + -1, + -1, + 129947440, + 171673834, + 956905120, + -1, + -1, + -1, + -1, + 907005714, + -1, + -1, + 987724455, + 749878107, + 500474812, + 788119229, + -1, + 776716510, + 784857316, + -1, + 258111587, + -1, + 692619449, + 892186618, + -1, + 684851776, + 310685806, + 152206888, + -1, + 27393113, + 324728619, + -1, + 308098774, + 773871818, + 783723761, + 304205280, + 456659438, + 877031834, + 280281700, + 216441506, + 318127959, + 581493914, + -1, + -1, + 896371974, + -1, + 813564996, + 48764815, + 358797187, + 541826458, + -1, + 571972650, + 693908678, + -1, + -1, + 555500610, + -1, + 780576426, + 518328159, + 491343500, + 550642242, + 838821006, + 23441060, + 417192301, + -1, + 430224758, + 964326105, + 272453170, + 332953057, + 508663038, + 583184376, + 111561067, + 779512177, + 847433036, + 558109423, + 364400812, + 277069672, + -1, + 383496524, + -1, + 713988574, + 324771902, + 219594953, + 259833210, + -1, + -1, + 511599469, + 992901469, + 482033663, + -1, + 720298498, + 617127606, + 55471693, + 540091507, + 972349239, + 459492189, + 273952344, + 136477664, + -1, + 598057635, + -1, + 390342235, + 147397485, + -1, + -1, + 919498453, + 864529737, + 465266061, + 973192741, + 567123905, + 626810984, + 272547662, + -1, + -1, + -1, + 197877515, + 325679993, + 82030759, + 207813563, + -1, + 947781710, + 162648861, + 826638612, + -1, + 254127351, + 618146565, + -1, + 593861759, + 426134007, + 519029647, + -1, + 565144674, + -1, + 892066374, + -1, + 950896555, + 351081370, + 753473298, + -1, + 263035976, + 193675347, + 626016180, + 972473118, + -1, + 673791541, + 13806392, + 506163756, + 324246522, + -1, + 279797857, + -1, + -1, + -1, + -1, + 69392715, + 859245683, + 332801524, + 590001895, + 607257620, + -1, + -1, + 805193463, + 52138046, + 505562130, + -1, + -1, + -1, + -1, + 870046167, + -1, + 257300556, + 537004074, + -1, + -1, + 570561329, + 642051452, + 395280780, + 794676338, + 576625042, + -1, + -1, + 563749370, + 252272043, + 357168999, + -1, + 394342268, + -1, + -1, + 605005879, + -1, + -1, + 21612427, + -1, + -1, + 557858429, + 99281406, + 518974974, + -1, + -1, + 378463606, + 349296290, + 969973650, + 501429322, + 19889555, + 1243678, + 639677760, + 272964606, + 825245098, + 719608944, + -1, + 224513472, + 432300080, + 718861463, + 345108895, + 43430586, + -1, + 125310724, + -1, + 166108968, + 138572091, + -1, + -1, + 681112649, + 193874515, + -1, + 313671080, + 27983869, + 104852132, + 625244959, + 11258418, + -1, + -1, + 14432257, + 682147619, + 222769669, + -1, + 575912258, + 154755003, + 561242167, + 250370062, + 723985789, + 636868620, + 853448114, + 201464722, + 384001798, + 418346288, + 154688170, + 609716144, + 290986486, + 107475365, + 254042146, + -1, + 98282940, + 789130511, + 79213058, + 608856496, + 416345824, + 52483132, + 943430319, + 729685784, + 816389176, + -1, + 942291863, + -1, + -1, + -1, + 242087570, + 292939320, + -1, + 150226565, + 671549542, + 507642879, + -1, + 468256944, + 517186169, + -1, + 726337131, + -1, + -1, + 492386807, + -1, + 787267071, + -1, + 849259820, + 391323678, + 880480315, + -1, + -1, + -1, + 260869595, + 908855582, + 788756760, + -1, + -1, + 210868235, + 149234664, + 418893644, + 640450282, + 156884786, + -1, + 691580279, + 536742593, + 975443504, + 281074050, + 443428534, + 539316763, + -1, + 534018949, + 526629270, + -1, + 334861643, + 150496734, + 44925634, + -1, + -1, + 194195882, + 292664299, + 497735165, + 461752376, + 525021402, + 146987399, + 121951401, + -1, + 606372608, + -1, + 721389256, + 36431322, + 158427045, + 972382580, + 550203913, + 722094928, + 761687017, + -1, + 708950621, + -1, + 232667108, + -1, + 17238057, + 262017608, + 217394765, + 353829733, + -1, + 834887682, + 450692780, + 637342580, + 233236747, + -1, + 193121793, + 13927517, + -1, + -1, + 723686161, + 18701391, + 304579004, + -1, + 550010968, + 617120062, + -1, + 188399380, + -1, + 174948849, + 349773036, + 655653385, + 77361520, + 747381769, + -1, + -1, + 370024371, + -1, + -1, + 167475934, + 63655725, + 36870173, + 970664030, + 985669313, + 481586568, + -1, + 811192369, + -1, + 648509200, + 928071425, + -1, + 324845418, + -1, + 490960678, + 67499450, + 941861988, + -1, + 54168436, + 801250527, + -1, + -1, + 433329357, + -1, + 641801424, + -1, + 230583896, + 646167379, + -1, + 346182750, + -1, + -1, + -1, + 831843742, + 28749864, + 12755330, + 786288027, + 989871125, + 581939606, + 598058029, + 203722966, + 206228068, + 599221636, + 637071767, + 197052741, + 488998881, + 255280212, + 354210160, + 499250908, + 254460867, + 346546359, + -1, + 63425657, + -1, + 808816495, + -1, + -1, + -1, + 602189881, + 498944349, + 643179325, + 595433537, + 76655372, + 355430973, + 649877539, + 164782191, + 625483872, + 921951512, + 356161357, + 302927273, + -1, + -1, + -1, + -1, + 878146515, + 406544298, + -1, + 999398623, + 564243686, + -1, + 190255161, + 541249726, + 499398944, + 949376910, + 690951414, + 974641078, + 938450751, + 401725649, + 136781063, + -1, + 871682888, + -1, + -1, + 276812947, + 441561767, + 536604145, + 692335361, + 686693270, + 18523477, + 292710663, + 809234763, + 883690559, + 325718277, + 35247145, + 372126183, + 24236077, + 89522114, + 245309164, + 681226371, + 204768629, + 601106211, + 464011325, + 429711478, + 56776016, + 601098716, + 350975798, + 991216734, + -1, + -1, + 92517673, + 465381116, + 59969627, + 431303170, + 956523230, + 897135205, + 429046137, + 946525300, + 657163821, + -1, + 955637665, + -1, + 454924775, + 575159472, + -1, + 925001291, + 767331902, + -1, + 492591812, + 465152798, + 118856440, + -1, + -1, + -1, + -1, + -1, + 226128739, + -1, + 157708937, + 388041159, + -1, + 106530365, + 882644021, + 111663415, + -1, + -1, + -1, + 834071902, + 489452082, + -1, + -1, + -1, + 705912606, + -1, + -1, + 451106808, + 726260447, + -1, + -1, + 375666379, + -1, + 929856983, + -1, + -1, + 654437586, + 508254143, + 705835334, + 592276706, + -1, + 553769481, + 409691231, + 611866338, + 519138345, + 170064116, + 569643424, + -1, + 147074296, + 576244216, + 104750957, + 427277061, + -1, + 943811941, + 270831298, + -1, + 776976827, + 802784564, + 404578159, + 793543711, + 569630436, + 355523556, + 579825866, + 515602344, + 281991367, + 635846989, + 479414227, + -1, + 13054321, + 141242527, + 386213547, + 180656482, + 478414610, + 896056535, + 122753849, + 551178940, + -1, + 632023464, + -1, + 273881017, + 449279533, + -1, + 685483048, + -1, + -1, + 268238408, + -1, + 70901195, + -1, + 387873722, + 995097854, + -1, + -1, + 558942699, + -1, + 944616391, + 829960580, + 324453187, + 175591889, + 48229016, + 339048046, + -1, + -1, + 288315955, + -1, + 939083333, + -1, + 538971528, + 778907651, + 248717564, + 421133253, + 917689802, + -1, + 213555176, + -1, + -1, + 992070712, + 229692439, + 574352667, + -1, + 553819530, + 619786136, + 786734973, + -1, + 180800306, + -1, + 60603914, + 708940061, + -1, + 27785330, + 660997427, + -1, + 268063237, + 892807512, + 590080411, + 240996563, + 196537500, + 503350628, + 328387972, + 238932004, + 465699685, + 142398351, + -1, + 332793688, + 538714328, + -1, + 687302624, + 106316110, + 199657128, + 119692912, + -1, + 954382027, + 371720367, + 796245185, + -1, + -1, + -1, + 619071086, + 2607298, + 38202819, + -1, + 768749786, + -1, + -1, + 712602987, + 836203709, + -1, + -1, + 477439160, + -1, + 762748590, + 862844595, + -1, + 997015940, + -1, + 550018180, + 216176330, + 482631626, + 219691805, + 127276067, + 870215112, + 19360107, + 817361595, + 440169074, + -1, + 657515072, + -1, + 147093922, + -1, + 597755660, + 186198742, + 947607578, + 395819488, + 478144735, + -1, + -1, + 68189201, + 864383145, + 830389759, + 846129926, + 179896009, + 859936737, + -1, + -1, + -1, + 451681599, + 570512200, + 850483043, + 945614347, + -1, + 285069070, + -1, + 277316807, + 622578532, + 269037195, + 561082746, + 353388662, + 372437503, + 509777418, + 377521184, + -1, + 241705374, + 621663504, + -1, + 585751024, + 374369159, + -1, + 169809972, + 520295531, + 120761442, + 785214790, + -1, + 474641734, + 734984176, + -1, + 376403734, + 554436960, + 385256588, + -1, + 462613111, + 216741936, + 325186253, + -1, + 927066806, + 217547611, + -1, + 684525858, + -1, + 31090341, + 591020783, + 656384003, + 388672226, + 957320967, + 327344167, + 665367864, + -1, + 526003747, + -1, + 447458612, + 663136812, + -1, + 569822077, + -1, + 515515518, + -1, + 967053943, + -1, + 125278375, + 736070279, + -1, + -1, + 602085253, + -1, + 865619354, + 710921593, + -1, + 693830241, + 313593949, + 65019639, + -1, + -1, + 408331027, + 356292436, + -1, + 467913282, + 985501748, + 620051370, + 673389860, + 535876596, + 756822779, + 684927353, + 372020142, + 682098299, + 999106527, + 167867894, + -1, + 540343405, + 527731332, + 603886210, + 251773390, + 58178521, + 473388357, + 120805478, + 686592248, + 632372709, + -1, + -1, + 674772093, + 704695810, + 786355176, + 154294164, + 55118061, + 524425465, + 423052495, + 984159458, + 341894360, + -1, + -1, + -1, + 820435004, + -1, + -1, + -1, + 796810218, + 785831662, + 371714244, + 652086956, + 363694095, + -1, + -1, + -1, + 721740551, + 821771036, + 620810520, + 925371693, + 704420700, + 548245126, + 905023379, + 47576364, + 385895432, + -1, + 605168661, + 634757649, + 705156, + 59875489, + -1, + -1, + 299939921, + -1, + 383209548, + 10970233, + -1, + -1, + 559466232, + 495143354, + 804956446, + -1, + 740288009, + -1, + 855662862, + 429633591, + 714551953, + -1, + 340501348, + -1, + 323498065, + 717627233, + -1, + 144287649, + 106399539, + 96150976, + -1, + -1, + 601843458, + 964336029, + -1, + -1, + 307802254, + 420691589, + 908977478, + 810686723, + 295158252, + 533559646, + 484624228, + 412762226, + 397772065, + 918832952, + -1, + 644821932, + -1, + 478122575, + -1, + 540694258, + 84860531, + 824859324, + -1, + -1, + 12395612, + 7517471, + 715229098, + 799370378, + 610654635, + 527373883, + 368777245, + 12600918, + -1, + 289404822, + 894535682, + 766706459, + 803238060, + -1, + 880417769, + 465364223, + -1, + 896237180, + -1, + 825314343, + 21696266, + 552876478, + 429343303, + -1, + 754800903, + 800949985, + 900224280, + 296589204, + -1, + 714213071, + 133169544, + -1, + 513200218, + 144198394, + 503624843, + 438934912, + 381843140, + 414421709, + 421545513, + 659448802, + -1, + 584978394, + 611000050, + 47198665, + -1, + 815728796, + 63229873, + 49551816, + -1, + 78899791, + -1, + -1, + 661774241, + -1, + 654927955, + -1, + 620386503, + 66427592, + -1, + -1, + -1, + 235702265, + -1, + 442779979, + -1, + -1, + 489954351, + 368683408, + 843649247, + 107534026, + 188633845, + -1, + 140459660, + 498720456, + -1, + 587907114, + 975241914, + -1, + 552477128, + 227554990, + 494686935, + -1, + 153114152, + 2291196, + 559448112, + -1, + -1, + -1, + 947756163, + -1, + 829458701, + 474688773, + 142662429, + -1, + 61397173, + 998205831, + 167177341, + 561924218, + 714428917, + 95805347, + -1, + 365478025, + -1, + 184544702, + -1, + 229638732, + 679614031, + 219383365, + 760956481, + -1, + 345715254, + 846387936, + 566772733, + -1, + 802498689, + 773349575, + 444299169, + 477554341, + 231272239, + 271362933, + 589435625, + 582796241, + 571732015, + 777663000, + 324687652, + -1, + 261442891, + 467232500, + -1, + -1, + 735187586, + 248642415, + -1, + 277518164, + 159109889, + 81686592, + -1, + 606232072, + -1, + 201251525, + -1, + 201659507, + -1, + -1, + 750504941, + 289056935, + -1, + 786065223, + 239762093, + 112488369, + 699673236, + -1, + -1, + 483287349, + 684528970, + -1, + -1, + -1, + 68818503, + 825132395, + 948071372, + -1, + 589811893, + 770019305, + 86921773, + 278711036, + 384656985, + 266247201, + 757564681, + 301516085, + 960424306, + 689533174, + 189247702, + 208409858, + 686673899, + -1, + 393178966, + -1, + 412753168, + 820201697, + -1, + 78247626, + 820134690, + -1, + 1017705, + 279459949, + -1, + 52511067, + 191796315, + 452914339, + 526782596, + 603157004, + 244130579, + 174773036, + -1, + 587457649, + 740659916, + -1, + -1, + -1, + 914482949, + 735834597, + 184344716, + 859812409, + -1, + 865886811, + -1, + -1, + 338501006, + -1, + -1, + 418407537, + 892161801, + 104348503, + 115063458, + 129626003, + 758175171, + 857678321, + -1, + 954789711, + 674860688, + 945625469, + 474516678, + -1, + 499831310, + -1, + 308794239, + 124643582, + -1, + -1, + 72612411, + -1, + -1, + 233945868, + -1, + 253220376, + -1, + 139014356, + 373072322, + -1, + 736003245, + -1, + 644123850, + 727954, + -1, + 996929601, + -1, + -1, + 815325998, + 984943436, + 409417045, + -1, + 825189617, + 143318919, + 578999652, + 373319538, + 586320869, + 504023287, + -1, + 69877398, + -1, + 511949753, + 734184915, + 196327709, + 211308267, + 706902776, + 73405751, + -1, + 855856240, + 480348494, + -1, + 383371624, + -1, + -1, + 926982533, + 201847622, + 227301160, + 573817807, + 290212061, + 983469829, + 893743325, + 472739467, + 396658676, + 976494280, + 470291914, + 313106068, + 929577133, + 255205434, + 437348288, + -1, + -1, + -1, + -1, + -1, + 427211217, + -1, + 186188698, + 671457307, + -1, + -1, + 172885357, + 867185860, + -1, + 429977338, + 63564401, + -1, + 533435581, + -1, + 569315852, + 345239767, + 588780237, + 597489089, + 794180215, + 748002760, + 758443560, + 568263292, + 636917106, + 290144585, + 537904652, + 853277515, + 9980316, + -1, + 42587989, + 155019341, + 623747462, + 997261874, + 734494568, + -1, + -1, + 786665718, + 392958432, + 301216031, + 914586862, + -1, + -1, + 391546384, + -1, + 63004389, + -1, + -1, + 952427908, + 91777739, + 139685490, + 909025778, + -1, + 797760936, + 464718658, + 249100462, + 769515831, + 485836959, + -1, + -1, + 545935305, + 449358616, + 110951568, + 114952245, + 28942977, + -1, + -1, + -1, + 512496690, + -1, + -1, + 995872296, + 253510721, + 280258273, + 818312152, + -1, + -1, + 527551037, + 440016274, + -1, + 563589874, + 280303232, + 275427194, + -1, + -1, + -1, + -1, + 746998240, + -1, + 939685542, + -1, + 362606829, + -1, + 308996119, + 992933143, + 694515501, + 172813915, + 1915948, + 875380777, + 736807577, + -1, + 142268138, + 185042221, + 146127497, + -1, + 262389121, + -1, + -1, + 151220410, + -1, + 109703844, + -1, + -1, + 610142026, + 894441912, + 68711000, + 790664938, + -1, + 537336373, + 330647609, + 380176041, + 514720730, + 187222785, + 50414337, + 153558034, + 45461489, + 474330629, + 164030805, + 967146782, + -1, + -1, + 571242044, + -1, + -1, + 113994100, + -1, + 413345074, + 299908175, + 267251117, + 79804730, + 632074783, + 29903193, + 865513332, + 324993773, + -1, + 886609775, + -1, + -1, + 296700311, + -1, + 625479332, + 191260879, + -1, + -1, + 695359769, + 821590689, + 103897462, + 851192588, + 703875859, + 575292136, + 242547248, + 260361038, + 346718320, + -1, + 368520694, + 371968104, + 83907509, + 205017515, + 109081347, + 422015642, + 430426261, + 913940960, + -1, + 171856276, + -1, + -1, + 935714500, + 480455494, + 683057127, + 450097011, + 655462483, + -1, + 407661706, + 223508824, + -1, + -1, + 23259938, + -1, + 132787475, + 244109173, + 803612351, + -1, + -1, + 134647698, + 419441131, + 760242866, + 485124369, + 499354715, + -1, + -1, + 760583386, + 678455002, + 883111496, + 454103252, + 99888008, + -1, + 757930626, + -1, + -1, + -1, + 393060461, + 229486997, + -1, + 728564496, + -1, + 556964432, + -1, + 148495173, + 405250334, + 671462997, + 853024724, + -1, + -1, + -1, + 787254192, + 456899000, + 886214766, + 361680366, + 209267481, + 772642700, + 13082272, + 980752285, + 144581740, + 85955696, + -1, + 316212915, + 528129536, + 557971579, + -1, + -1, + 30350417, + -1, + 4784920, + 630393067, + -1, + 229420706, + -1, + 408490356, + 868124582, + 860336443, + -1, + 163191963, + 217104227, + -1, + 339114803, + 382038434, + 857152633, + 469126401, + 235418498, + 87769497, + 470460021, + 471025986, + 245198504, + 172433160, + 736429042, + 171684203, + 10995643, + 331004250, + -1, + 16693000, + -1, + 775135814, + 347906255, + 705046357, + 790511550, + 826308634, + 779457790, + -1, + -1, + 282310655, + 590401626, + 341064155, + 71146439, + 343510852, + -1, + -1, + 919221710, + 987424759, + 572776059, + 608344650, + -1, + 106091953, + 996309084, + -1, + 580707372, + -1, + 481255791, + 904400952, + -1, + 272659716, + 628139753, + 523297204, + 311082285, + 844473255, + 337762947, + -1, + -1, + 829943162, + 792129454, + 969544272, + 794878340, + -1, + -1, + 955854445, + 797339569, + 530605639, + -1, + 279636752, + 819637519, + 964519407, + 497045956, + -1, + -1, + -1, + 3149560, + 291666354, + -1, + -1, + 887373459, + 989706856, + 548997033, + -1, + 671285633, + 692324395, + 646267361, + 512550607, + -1, + 460796133, + 648958404, + 369179986, + -1, + 285883788, + 369836209, + 641714490, + 22759226, + 510529212, + 334702529, + 443747998, + 665321087, + 764861344, + 114704314, + -1, + -1, + 421901076, + -1, + 434729628, + 299914248, + -1, + -1, + -1, + 248377914, + 741155028, + 19730720, + 614872566, + 987699236, + 548474018, + -1, + 794697561, + 702365728, + 289370271, + 736659796, + 238709374, + -1, + 659662407, + 938341572, + 280405650, + 655684012, + 426700999, + 202040695, + 358133003, + 478455653, + -1, + 691594593, + 357354360, + 369443430, + 381020446, + -1, + 225658575, + 951226748, + 432103612, + 152294466, + 680602889, + 354624324, + -1, + 579599887, + 838771968, + 13072459, + 910052477, + -1, + -1, + -1, + -1, + -1, + -1, + 679274781, + 162026931, + -1, + 895128709, + 242999686, + 707249032, + 757210821, + 729624060, + -1, + 86181752, + 430996775, + 370954916, + 312526216, + 148395625, + 890807777, + -1, + 770840607, + -1, + 747544269, + -1, + 151533048, + 357830397, + 199793035, + 230726650, + 884755302, + -1, + -1, + 345239288, + -1, + -1, + -1, + 437377304, + 792006634, + 844449539, + 928178202, + 268439349, + -1, + 350054023, + 408548378, + 969790385, + -1, + 868836412, + -1, + -1, + -1, + 545981057, + 853662590, + 651685719, + -1, + 261879591, + 710608011, + 17475516, + -1, + 753534893, + -1, + 844161575, + -1, + -1, + 872617236, + -1, + 76496156, + -1, + 342939954, + 609524972, + -1, + -1, + 214289161, + -1, + 739225376, + 959249384, + 625116372, + 122002731, + -1, + 846915867, + -1, + 928338225, + 29400704, + 490691063, + -1, + -1, + 209912667, + 544382100, + 444505770, + 795825224, + 469403238, + 972248916, + -1, + 863638441, + -1, + 705432211, + 105489546, + 507104638, + 257883898, + 816953695, + -1, + 807583451, + 943842940, + 664028447, + -1, + 22430944, + 928197644, + 847255222, + 314845327, + 511560193, + -1, + 102515471, + -1, + 698433106, + -1, + -1, + 743704808, + -1, + 996562808, + -1, + 539804996, + -1, + 326822960, + 673048495, + 454413639, + -1, + 846102800, + 102696466, + 342344223, + 627832083, + -1, + 755425304, + -1, + 146389547, + 432384399, + 770810807, + -1, + 362731123, + 667646052, + -1, + 939365678, + 33011386, + 467000323, + 821476480, + 354985814, + -1, + -1, + -1, + 293278329, + 493493912, + 143398041, + 5299568, + 707526295, + -1, + 631824858, + 110408614, + -1, + 346477569, + -1, + -1, + -1, + -1, + 110190487, + 734033685, + -1, + -1, + 935686250, + 90857652, + 79939622, + 762742252, + -1, + 173449924, + -1, + 496339245, + -1, + -1, + 38360596, + 446691803, + 686870274, + -1, + 277336010, + 251187449, + 773676403, + 433351892, + -1, + 58137697, + -1, + 644143527, + 912852378, + -1, + 123067011, + -1, + 378836927, + -1, + 763738837, + 243284500, + 118717741, + 650127690, + 865163819, + -1, + 938411208, + 243525227, + -1, + 694450632, + 862367742, + 219655633, + 460439401, + 333914694, + -1, + -1, + 779781886, + 229817210, + 599867652, + 338435728, + 505352278, + -1, + -1, + 16222254, + -1, + 438761845, + 432433358, + -1, + -1, + -1, + -1, + 391065208, + -1, + 982340996, + 522811691, + 690132608, + 979061434, + -1, + 822936971, + 858442677, + -1, + -1, + 679975869, + 562524140, + 47510296, + -1, + 509856934, + -1, + 676086171, + 705432999, + 442762102, + -1, + 57401989, + 793129647, + -1, + 202729094, + 871462443, + -1, + 201520625, + 280284264, + 316047676, + 939995625, + -1, + -1, + -1, + 30042745, + 701704925, + 965841540, + -1, + 294741872, + 77759665, + 951036052, + 874745039, + -1, + 492205711, + -1, + -1, + -1, + -1, + 338355441, + 61934315, + -1, + 240224476, + 4791012, + -1, + 535883611, + 220033537, + -1, + 587160243, + -1, + -1, + 946646897, + 744077962, + 177100810, + 666733946, + -1, + 346383284, + 451232996, + 631931953, + 643061886, + -1, + 928855639, + 752934941, + 214290984, + 980587369, + 380624394, + 46962302, + -1, + 116249898, + 366041013, + 177430515, + 608583962, + 56133113, + 527162518, + 432696954, + 929171723, + -1, + -1, + 289875440, + 377079894, + 121412079, + 690070146, + 23944353, + 33195363, + -1, + -1, + -1, + 641870153, + 109918346, + 988760418, + 729632608, + -1, + 229178834, + -1, + -1, + -1, + 882378790, + 36888140, + -1, + 167969352, + 195522428, + 149316845, + -1, + -1, + -1, + 148102657, + 402024328, + 41106021, + 325843600, + -1, + -1, + -1, + -1, + 666178537, + 137795212, + 697440822, + 776829499, + -1, + 450729575, + 294097957, + -1, + 237831604, + 929984028, + -1, + 514742290, + -1, + 200791165, + 647046558, + -1, + -1, + 741321076, + -1, + -1, + 588396790, + -1, + 517339033, + 864171868, + -1, + 269901638, + -1, + 302858008, + 574675211, + 719483082, + 177746576, + 805160041, + -1, + 195680667, + 757491717, + -1, + 340940357, + 824192663, + 104054590, + 440629767, + -1, + -1, + -1, + 772302691, + 702709306, + 24172939, + 146341414, + 606110322, + 305912457, + 86759544, + -1, + 205887478, + 779098191, + -1, + -1, + 523987069, + -1, + -1, + -1, + -1, + 162505341, + 644487728, + 184242202, + -1, + -1, + -1, + 324981984, + 998937928, + 171835912, + 797024367, + 908702223, + 680359519, + 67154530, + 513383723, + -1, + -1, + -1, + -1, + 805269843, + 887917560, + 399061778, + 819120148, + -1, + 158453949, + 541036485, + 671821799, + -1, + 532895638, + -1, + 450993140, + -1, + 279308274, + 642319551, + -1, + 641703746, + 207404831, + 313405647, + 97162630, + -1, + 232660369, + 280964353, + 902081404, + -1, + 336476421, + 850072462, + 619235963, + 928138168, + 753933159, + -1, + 363108202, + 97618964, + -1, + 871901606, + 691978824, + 770290960, + 892971587, + 607949630, + 688357420, + -1, + 271363069, + -1, + 323775383, + 700220235, + 302263908, + -1, + 428297147, + -1, + 871073749, + 763186579, + 156363071, + 240378174, + 811277641, + 923295205, + 268535001, + -1, + 862422419, + 606968228, + 589639309, + 243304519, + 567371337, + 587492801, + 319505642, + 602003515, + 598161726, + 77695554, + 172061818, + -1, + 298291261, + 433924201, + 550964756, + 537306132, + 685933590, + 768119581, + -1, + -1, + -1, + -1, + 935799740, + -1, + -1, + 911482503, + 173660312, + -1, + 751903089, + -1, + 984799059, + 487549352, + -1, + 289360444, + 117867415, + -1, + -1, + -1, + -1, + 679024120, + 509817799, + -1, + 946155865, + 507136483, + 510161569, + 276540960, + -1, + -1, + -1, + 464664871, + 680314102, + -1, + 761058244, + 335352356, + -1, + -1, + -1, + 699010968, + 724722045, + 520443422, + -1, + -1, + 473871822, + -1, + 355064946, + 95830197, + 152816247, + 494148145, + -1, + 903978635, + -1, + 635059095, + -1, + 990307517, + 337922646, + 901242634, + 400291683, + -1, + -1, + 303863995, + -1, + 567352028, + 245652427, + 44523955, + 993716841, + -1, + -1, + -1, + 701536848, + 830505960, + 357206267, + 851837221, + 233088332, + 839312162, + 211895860, + 940385134, + 79074009, + -1, + -1, + 358658708, + 85869772, + 784280044, + 259398100, + -1, + -1, + -1, + 851168678, + 664916867, + 357021524, + 124353235, + -1, + 967756168, + -1, + 515418793, + 850275914, + -1, + -1, + 101184061, + 616819688, + 907213486, + 441535525, + 840798735, + 158564172, + -1, + 353617340, + 546452380, + 688184790, + 523682727, + -1, + 743107030, + 756427427, + 718549419, + 596836659, + 688370461, + 638791743, + 322790501, + 752956781, + 21578535, + 50542856, + 843824076, + 960974938, + 851760892, + -1, + 854212882, + -1, + -1, + 336450518, + 777567788, + 381932305, + -1, + -1, + -1, + -1, + 851772167, + 843004206, + 463349677, + 165417556, + 647803765, + 858923880, + 713525583, + 54380807, + 587925902, + 414649491, + 63027851, + 364751882, + 14392860, + -1, + 1444685, + -1, + 652604796, + -1, + -1, + 130765837, + 507753591, + 628130846, + 755829279, + 921582134, + 994168698, + 929972568, + 945225165, + -1, + 577645228, + 802710938, + 844970052, + -1, + -1, + 427470186, + 433299257, + 219426842, + -1, + 487903168, + 326773245, + 511697715, + 372308242, + 986424537, + -1, + 128017559, + 401950005, + 632090009, + 826171853, + -1, + 93763996, + 296981094, + 984827524, + 671346444, + 436758117, + 169900080, + -1, + 268669166, + 850971415, + 649138684, + 415917698, + 780319264, + 809392413, + 666507909, + 239943884, + -1, + 449136627, + 304195010, + 44599961, + 342007808, + 281362599, + 858812989, + -1, + -1, + 754012780, + 389099858, + 401549105, + -1, + 97610618, + 35339802, + 394099023, + -1, + 434892368, + -1, + 412351727, + 245042576, + -1, + 181056743, + -1, + 719472971, + 164778204, + -1, + 990353124, + 526080815, + 81472549, + -1, + 923017369, + -1, + 975817706, + 860943932, + 596328345, + 670320248, + 930014440, + -1, + 353705585, + 293269318, + 928124647, + 618357133, + 416900751, + 798576591, + 245758194, + 215837134, + 948294164, + 654627625, + 389205095, + -1, + 519139714, + -1, + 937296089, + -1, + -1, + 854972738, + 868272902, + 818510995, + 766339352, + 797715350, + -1, + -1, + 302196821, + 463394254, + 910213685, + 916764094, + 2956538, + -1, + 871806150, + 896922798, + 425897096, + 432904276, + 671597187, + 816659178, + -1, + -1, + 342017385, + 344712379, + 96525346, + 481272482, + 285362806, + -1, + 524061161, + -1, + 407764895, + 225593014, + 479748174, + 666928583, + 68316255, + 887153390, + 140244923, + 134200827, + -1, + 683939785, + 709830657, + 170526526, + 471661909, + 967107893, + -1, + -1, + -1, + -1, + 378460841, + 273549891, + 931745142, + 402480097, + 452212258, + -1, + 585490115, + 79756494, + 516880526, + 705143321, + 201410753, + 933958205, + -1, + -1, + 429265767, + -1, + 68945340, + 831969567, + -1, + 889343051, + 738481600, + -1, + 456521292, + 323345616, + 527806073, + 171646993, + 780496270, + 820944373, + 873862055, + 238061462, + 627879180, + 844071168, + 180463206, + -1, + 237443563, + -1, + 857298488, + 44896010, + 274635851, + 938296652, + 956572439, + 925239689, + 72962202, + 918075666, + 128245205, + 3942788, + -1, + 129775868, + -1, + 927430945, + -1, + -1, + 127699023, + 70044014, + 968157375, + 54991087, + 318252802, + -1, + -1, + 313932665, + -1, + 745447001, + 148037005, + 91564422, + -1, + 84412936, + 768283330, + 110702016, + 445556607, + 259437127, + 889880314, + 923340256, + 608504050, + -1, + 391100524, + 87191395, + 871250481, + 182069189, + -1, + -1, + 72379927, + 484822828, + 796992358, + -1, + 441935340, + 763574492, + -1, + 760845616, + -1, + 328616818, + 247873386, + 140288985, + 613809067, + -1, + 611727076, + -1, + 792640810, + 462861177, + 650247718, + 480067932, + 287341824, + -1, + -1, + 518160871, + 972605276, + 541205975, + -1, + -1, + 761072241, + 619597983, + 100818869, + -1, + -1, + 843811359, + -1, + -1, + -1, + 992566929, + 875549122, + -1, + -1, + 683872771, + 631388219, + -1, + 23779275, + 409701856, + 720768669, + 974053186, + 517302025, + 203458881, + 879690974, + -1, + 395977531, + -1, + 291276133, + 158150304, + 252429951, + -1, + 754338768, + 610334569, + 115391501, + 550795270, + -1, + 407350465, + 431459810, + -1, + -1, + -1, + -1, + 98746807, + 448876909, + -1, + 723402654, + 740235019, + 941935522, + 674074338, + -1, + 565161071, + 132107403, + 170802185, + -1, + -1, + 315545711, + 746105749, + -1, + 89861451, + -1, + -1, + -1, + 265512673, + 603830279, + 65312821, + 285045212, + 540631885, + -1, + -1, + -1, + 332436743, + 269155619, + 399713779, + 171225539, + 89689411, + -1, + 925364032, + 307870514, + -1, + 643631616, + -1, + 23143171, + 484381363, + -1, + -1, + 566674169, + 894532336, + 257109261, + 654175738, + 525512156, + 386270258, + 247647389, + 119133041, + 50767448, + 996927737, + 683304090, + -1, + -1, + -1, + 856903973, + 324318452, + -1, + -1, + -1, + 24882148, + 690177429, + -1, + 403212523, + 589662531, + -1, + 107426020, + 457474679, + 852759438, + -1, + -1, + 358391169, + -1, + 879924505, + 346410089, + 99947077, + 42296397, + -1, + 658785107, + -1, + -1, + 185913269, + -1, + 271922445, + 218402446, + 534099394, + 571456145, + -1, + 561622741, + 529239142, + -1, + 630300775, + 217112669, + 50025910, + 158703405, + 956985648, + 761607999, + -1, + -1, + 341094129, + 559522888, + -1, + 244865139, + 528505466, + 987667863, + 597512679, + 154936165, + 713271154, + -1, + 577817500, + 120709206, + 238213018, + -1, + 567868747, + 539217824, + -1, + 648888325, + 432006093, + -1, + 363374891, + -1, + 636080736, + -1, + 755914805, + 232358975, + -1, + 548016768, + 510526329, + 297572092, + 634718929, + 109259648, + 996570899, + 512120412, + 641473726, + 257657722, + -1, + 464175947, + 655424585, + 735837196, + -1, + 466767858, + -1, + -1, + -1, + 791011543, + -1, + 337018660, + -1, + 287707934, + 217277765, + -1, + -1, + 64724058, + 914060852, + -1, + 759465245, + 765460113, + 363403970, + -1, + 719041345, + 519385584, + 705786395, + 180431099, + -1, + -1, + -1, + -1, + 662768002, + -1, + -1, + 888467651, + 385330960, + 227040606, + 725865009, + -1, + 548345289, + -1, + 91005540, + -1, + 785761817, + 458455364, + 199547246, + 521571029, + 171486396, + 863603781, + 11637798, + 488182073, + 401449727, + -1, + 756872910, + 589481588, + -1, + -1, + 291058218, + 812768728, + 301544589, + -1, + 409823867, + 251306760, + 941651727, + 405287712, + 330572361, + 245863034, + 448911935, + 350197584, + 249234248, + 489758928, + 919322229, + 164517872, + 789039232, + 933273096, + -1, + 210553448, + 394233725, + -1, + -1, + 717674789, + 170268111, + 424192282, + -1, + 248153563, + -1, + 660608596, + 510763419, + -1, + -1, + 307998999, + 393378813, + -1, + 836041172, + -1, + 992313067, + -1, + 909707649, + 577006120, + 666489591, + 564680091, + -1, + 273581865, + 246154077, + -1, + 228484803, + 39347678, + 177413381, + 210816767, + 985127686, + -1, + 976504255, + -1, + -1, + 217135490, + -1, + -1, + 976801428, + 472485568, + -1, + 84722370, + -1, + 972556599, + -1, + 823039291, + -1, + -1, + -1, + 326856581, + -1, + -1, + 963418770, + 776458438, + 961940932, + 694871154, + -1, + -1, + 734120384, + 697073801, + 380870774, + 112895257, + -1, + -1, + -1, + 450003066, + 181753189, + 755974977, + -1, + 759885396, + 598487102, + 955485656, + -1, + -1, + 750957878, + 629913958, + -1, + -1, + -1, + -1, + -1, + -1, + 516841934, + 799570839, + 302202959, + 553055192, + -1, + 187869428, + 788046717, + -1, + 263090710, + 96241212, + 592678326, + 588573227, + 711586248, + 490396673, + -1, + -1, + 624085142, + 762110116, + 942147803, + -1, + 330530323, + 803400343, + -1, + 657341289, + 557170504, + 852039826, + 887837610, + -1, + 72342626, + 492118617, + -1, + 377937272, + 354233120, + 983210692, + -1, + 447227594, + 980361467, + -1, + 84577383, + 726686955, + 399958596, + 737062751, + 807092797, + -1, + 376218195, + 213923989, + 856072157, + 400961694, + 63002846, + 60377693, + 494715307, + -1, + 407250429, + 821814528, + 583608094, + 312104597, + 490497973, + -1, + 10875780, + -1, + 70960342, + 351896519, + -1, + 353120980, + -1, + 125434482, + 599562647, + 398698828, + 710008086, + 342955533, + 240891153, + 410432887, + 963724723, + 266398799, + 514457360, + 217991835, + 503695458, + 405889433, + 182984889, + 723202218, + 643140418, + 748362000, + 881880356, + 876910908, + 331040588, + 956473821, + 202205795, + 644412383, + -1, + -1, + -1, + 486584354, + 989888799, + 913862931, + 390196104, + -1, + -1, + 637339814, + 761645454, + -1, + 921499818, + 81647422, + 165527678, + 956749674, + 249693577, + -1, + 275905273, + 992368255, + -1, + 275392630, + 917523304, + -1, + -1, + 752340413, + 764125599, + -1, + -1, + 634438550, + -1, + -1, + 484705193, + 696529473, + -1, + 909642680, + -1, + 134917426, + 937759758, + -1, + 112335170, + 981498233, + 283333982, + 999315672, + 502597822, + -1, + 691657433, + 438979699, + 864054990, + -1, + 344400755, + -1, + -1, + 568607627, + -1, + -1, + 509292808, + 667013371, + 850210093, + 342580114, + 940726775, + 917247210, + -1, + 315160484, + -1, + 786123209, + 938300552, + -1, + 787073269, + 678615981, + -1, + 883562830, + 856818948, + 568325440, + 586020375, + 189778727, + 385645962, + 609091455, + 319528491, + 5680260, + 34993159, + 416414919, + 925865620, + 757272633, + 273618672, + -1, + -1, + 332078823, + 221624745, + -1, + -1, + 570965419, + -1, + 278485160, + 797414895, + 471385765, + 407305282, + 815459071, + -1, + -1, + -1, + 909442003, + -1, + 333570042, + 434946387, + -1, + -1, + 502737789, + 729181627, + 512085065, + -1, + 335491558, + 906601554, + 323247726, + -1, + 767521578, + 34125748, + 136682317, + 127641613, + -1, + -1, + 521985240, + -1, + -1, + 603966632, + 905836016, + 176241536, + 693744424, + 141879515, + -1, + 865657550, + 210801514, + 593597344, + 284822330, + 152293923, + 837141234, + 990756666, + 235266737, + 600967132, + 260557173, + 405031076, + 584640271, + 572561591, + 834325482, + -1, + 282081665, + 986457897, + 398878066, + 208951685, + 403399629, + 520538679, + 314014863, + 39896232, + -1, + 689430033, + 48121244, + 155654298, + -1, + 733797853, + 859748507, + -1, + 242135343, + 974619431, + 926055363, + 254908297, + 149075779, + 102692771, + -1, + 578931480, + 175825651, + -1, + -1, + 463985812, + 420674679, + 378907026, + -1, + -1, + -1, + -1, + 806085534, + 886590283, + -1, + 676619708, + -1, + -1, + 58915190, + 508526054, + 426188497, + 288917225, + 354798328, + -1, + 424283526, + 815115197, + 176008577, + 669658204, + 717719073, + 815425279, + 962336259, + -1, + 752966772, + 675521066, + 273317088, + 376066895, + 966272009, + -1, + 747525267, + -1, + 593613381, + 304273198, + -1, + -1, + 476067071, + 984995093, + 865825124, + 389557229, + 388315946, + 138283535, + -1, + 784762142, + 153070984, + 508726548, + -1, + 907089934, + 320344015, + 644551180, + 411580814, + -1, + 736291064, + 401453397, + 691581442, + 348343100, + 291144084, + -1, + 978409390, + 340281819, + 418017229, + 87997087, + 995850838, + 100782147, + 338738256, + 616440745, + 695457420, + -1, + 598148480, + 721637029, + 89833294, + -1, + 973539301, + 408637916, + 759916260, + 621566111, + -1, + -1, + 942396787, + -1, + -1, + 732420897, + 259528572, + 356576506, + 477949884, + 662053842, + -1, + 696295564, + -1, + 365102342, + 322101545, + -1, + -1, + 709396065, + 11556486, + -1, + 218276915, + 421420360, + 922428444, + 868223776, + 315208136, + -1, + 687498611, + 801422609, + 87513994, + 858061946, + 315138026, + 703533698, + -1, + 65378401, + 506858629, + 987863587, + 73549784, + -1, + -1, + 270309189, + 154807091, + 246677942, + 74085566, + 573903475, + 598304319, + 702626378, + -1, + 407939617, + 275841571, + 923087580, + 444566978, + 657589822, + 418243771, + 38611728, + -1, + -1, + 457643397, + 605134356, + 481828111, + 49426092, + 330377807, + 694795525, + -1, + -1, + 22800908, + -1, + 268529076, + 192998309, + 326853025, + -1, + 838049424, + 364070209, + 923278537, + -1, + 291829259, + -1, + 15673269, + -1, + 965865992, + -1, + 672197842, + 714102206, + -1, + 513638778, + -1, + 204580787, + 628606845, + 895500700, + 359594633, + -1, + 359917966, + 353247429, + -1, + 912864335, + 944271036, + -1, + 602162427, + -1, + 667507419, + 359761051, + 651452483, + 430443852, + 926903131, + 94952383, + 132910934, + -1, + 141098199, + 236667527, + 896800106, + 170689851, + 264316616, + 668569208, + 694998081, + -1, + 563479021, + -1, + -1, + 19720212, + 600001561, + 427134853, + 542488010, + 147895280, + -1, + -1, + 12469497, + -1, + 819392618, + 542185471, + 380957471, + 123736958, + -1, + -1, + 109070078, + 920886910, + -1, + -1, + 589256943, + 368172835, + -1, + -1, + 525616815, + 964310989, + -1, + -1, + 10132739, + 72688748, + 226208053, + -1, + 972127330, + -1, + -1, + -1, + 820609551, + 298684329, + 803314049, + -1, + -1, + -1, + 56219854, + 31503276, + 256751226, + 249007925, + 797591462, + 186518824, + 110981495, + -1, + -1, + 41338817, + 806715058, + -1, + 754880721, + 483864034, + 906109670, + -1, + 286156371, + 24749274, + 439315972, + -1, + -1, + 922748739, + 414443846, + 916778699, + 690090792, + 166512525, + 756739008, + 525845110, + 71304684, + 197727644, + 721333641, + -1, + 574866389, + -1, + 532105198, + 466559563, + -1, + -1, + 171235238, + 273734094, + 468054484, + 628923729, + 130279662, + -1, + 718866393, + 592948485, + -1, + 817442978, + 906964203, + 883156884, + -1, + -1, + -1, + 382040871, + 116866625, + 532322406, + 78985472, + 767696048, + 424917179, + 202684802, + 764435034, + 299593346, + 658414399, + 354976644, + -1, + 375843983, + -1, + 227260056, + 929814092, + -1, + 336267371, + 457717289, + 36658861, + 499165996, + 733401947, + -1, + -1, + 576923748, + 446145102, + 437327123, + 602904065, + 802907509, + 530029742, + 699296188, + 759072545, + 326205107, + 584104854, + 119641092, + 501630372, + 126469027, + -1, + -1, + -1, + 86899488, + 966835069, + 815048153, + 5746773, + 744384124, + 201045023, + 746294407, + -1, + 510994569, + 48835511, + 589319716, + 807096913, + 341436671, + 54077618, + 259580326, + 823852257, + -1, + -1, + 286219382, + 700067573, + 601682914, + 413280262, + 748104794, + 342776304, + 826851327, + 729738110, + 160260392, + 902352549, + 846183350, + 112542393, + -1, + 645283760, + 122264076, + -1, + 75566819, + -1, + -1, + 122279042, + 857560708, + 752533165, + 960614436, + 330853357, + 719083208, + -1, + 829714923, + 883375311, + 592941242, + 862587278, + 761734171, + 778156697, + -1, + 27837116, + 106372557, + 361041107, + 356125323, + -1, + 996792543, + 541787128, + 707003863, + -1, + 526657053, + -1, + 811658241, + -1, + 922496607, + 899232663, + 676269759, + -1, + 955770513, + -1, + -1, + 762147375, + 744977529, + -1, + 827054951, + 730295304, + 16359816, + 928342416, + 809484967, + -1, + 51602938, + -1, + 145331401, + -1, + -1, + 691613474, + -1, + -1, + 412299012, + -1, + -1, + 987465463, + 140281816, + -1, + -1, + 754804717, + 868410531, + 108855882, + 166235082, + -1, + 148067559, + 628856894, + 116961981, + 748033210, + 454912924, + 31820120, + -1, + 785671478, + 219672831, + 613333426, + 783210348, + -1, + -1, + -1, + 829936348, + 862402344, + -1, + 437781242, + 984237945, + 655653249, + 354904670, + -1, + 574473084, + -1, + 550973502, + 583433140, + 933305113, + 597112290, + 125864889, + 201316496, + 587261472, + 963230637, + 731376772, + -1, + -1, + 392125602, + 297502429, + 503744956, + -1, + -1, + 714999291, + -1, + 976923870, + -1, + 512992268, + 118567432, + -1, + 347980745, + 68324189, + -1, + 774986126, + 576682251, + 468620198, + 698141593, + 722066023, + 643277329, + 95233828, + 410997854, + -1, + 322047003, + 180043521, + 423797617, + 773098677, + 777629399, + 710845108, + -1, + 127350750, + 593382825, + 305819748, + 591035259, + 518754315, + 146863116, + 56053982, + 602233102, + 184737874, + 315664789, + 236571766, + 559436795, + 262029172, + 316867005, + 274311566, + -1, + 874958376, + -1, + 534988174, + 397609815, + 475451877, + 583275742, + -1, + -1, + 599942814, + 115835818, + 88772829, + 774889958, + 503427265, + -1, + 938855334, + -1, + 238744513, + 889530690, + 635242851, + 535542742, + -1, + 411096604, + -1, + 924209332, + -1, + -1, + 864561711, + 430821633, + 295886265, + -1, + 685515244, + 644560515, + 766527551, + 95160272, + 390844599, + -1, + 559055427, + 151839425, + 931039520, + 672264835, + 635444453, + 730846355, + 120788987, + 375749960, + -1, + -1, + 862466209, + 955656766, + 419708993, + -1, + 411536842, + 436743312, + -1, + 273201992, + 338187981, + 275677300, + 960546786, + 567817533, + 774905352, + 778828532, + 598109896, + 834383080, + 542800965, + -1, + 449997059, + 230949073, + -1, + 170449498, + -1, + -1, + 25470702, + 664681734, + -1, + 807861605, + 820957490, + 588616124, + 491485864, + 298441768, + 541587448, + 644722768, + -1, + 418785158, + 341305769, + 104579729, + -1, + 103956763, + 862583651, + 530188455, + 680091767, + 924306260, + 137837122, + -1, + 696317904, + 335427087, + 852651079, + 405521655, + 822165262, + -1, + 640452994, + 834522241, + -1, + 693112583, + 829750916, + 927302456, + 911616218, + 411415934, + 166583854, + -1, + -1, + -1, + 319771199, + 408016318, + -1, + 629282176, + 807183774, + -1, + -1, + 938823899, + -1, + 305577267, + 889612003, + -1, + 297655297, + 712593854, + 876524843, + 132580088, + 579824258, + 780730361, + 403079482, + -1, + 257964578, + 730447812, + -1, + 931434143, + 579715175, + -1, + -1, + 538434038, + 309344531, + 532492923, + 578823796, + -1, + 98427616, + 445573181, + 208602854, + 414103634, + 466804809, + -1, + 752838369, + -1, + 810517746, + 393842673, + 26446526, + 746618073, + 154140077, + 493832864, + -1, + 979724204, + -1, + 201073982, + 414818503, + 727480035, + -1, + -1, + 527771906, + 146695788, + 393744699, + 600959100, + 831028969, + -1, + 30738162, + -1, + -1, + -1, + 583519749, + 610154348, + 265240490, + 86192495, + 361332228, + 190226628, + 995023500, + -1, + 903640842, + 247511524, + -1, + 969873347, + 390137776, + -1, + 702017081, + 912929117, + 799839907, + 577507815, + -1, + 422772834, + 241456360, + -1, + 848131514, + 176595862, + 637129313, + 107154520, + -1, + -1, + 107517627, + 558815936, + 600235782, + -1, + 801980150, + 210514264, + 403001121, + 420390674, + -1, + 920214124, + 247782973, + 564150426, + -1, + -1, + -1, + 729201598, + 605517079, + 603869667, + 263723128, + 114949189, + 168916262, + 662828800, + -1, + -1, + -1, + -1, + 274793103, + -1, + 656574588, + 852928945, + 575961282, + 662475462, + 290898869, + -1, + 48002544, + 395806426, + -1, + 179627841, + -1, + 310915094, + 609284388, + 181414335, + 421186029, + 658602491, + 819530920, + -1, + 1129078, + 490801276, + 174184377, + 668438706, + 184648175, + 144580580, + -1, + -1, + 3792685, + -1, + -1, + 765990398, + 638980534, + -1, + 538293860, + -1, + 421099095, + 91413788, + -1, + -1, + 54192695, + 786259942, + -1, + -1, + 465815986, + 404172628, + 221638227, + 867647268, + -1, + 369674913, + -1, + -1, + 785010648, + 253976823, + -1, + 21549144, + 100557455, + 174917191, + -1, + 372824099, + 555397960, + -1, + -1, + 733848854, + 709758012, + 244376987, + 296904217, + 233223576, + 814673075, + 134020283, + 28037216, + 955112310, + -1, + 734509324, + -1, + -1, + 301384959, + 633700895, + 236739123, + 634325897, + 630762871, + 6757073, + 24818529, + 433282471, + 562327476, + -1, + 523627370, + 625436457, + 866357731, + 118167091, + 682484930, + -1, + -1, + -1, + -1, + 885563542, + 999368845, + 902247174, + -1, + 343909713, + 254364884, + -1, + 336356768, + -1, + 850054303, + 247485207, + 295697876, + 474437408, + 918693813, + 3950186, + 375863711, + 464376563, + 240922573, + 148407899, + -1, + -1, + -1, + 727176707, + 598309748, + 148827128, + -1, + 433370713, + -1, + 889513857, + 673049268, + -1, + 713745478, + 97095652, + 319871174, + 325124695, + -1, + 958721844, + 34061151, + -1, + -1, + -1, + -1, + 360360643, + -1, + 688847112, + -1, + 404752309, + 859906043, + 150315782, + -1, + -1, + 715911706, + 750083430, + 725121191, + 574192567, + -1, + 489574802, + 770922242, + -1, + -1, + 414222875, + 451094840, + -1, + 367846479, + -1, + -1, + -1, + 749807265, + 317992292, + -1, + 914147365, + 817574672, + -1, + 997051808, + 608888728, + 585003740, + -1, + 289325712, + -1, + -1, + 990778081, + 678711595, + 123048164, + 197155544, + 580320030, + 2202641, + 586512638, + 67523344, + -1, + 962146707, + 693883257, + -1, + -1, + 720850607, + 624617458, + 104320487, + -1, + 355285204, + 445150960, + -1, + 988115673, + 161849262, + 779003828, + 947555781, + 486972801, + 325284494, + 349864825, + 386819540, + 945772360, + -1, + -1, + -1, + 155725534, + 654700379, + 132544698, + 938783185, + 32659899, + 119370214, + 114166688, + -1, + 6915828, + 647856402, + -1, + 888733338, + -1, + 381203330, + 942374622, + 514077131, + 487190467, + 108971278, + 37732332, + 972304640, + 596178881, + 444211968, + 109115662, + 15497107, + -1, + 926088181, + 632432467, + 225091780, + 220224956, + -1, + -1, + 246664150, + 438091110, + 397224776, + 406462246, + -1, + 425489747, + 457438878, + 204019766, + 401845518, + -1, + 510278282, + 453176826, + 376512543, + 122494574, + 437032324, + 292367646, + 857441451, + 624473230, + 661318250, + -1, + 57386657, + -1, + -1, + -1, + 466853929, + 816943048, + 308885718, + -1, + 592704838, + 292870246, + 279745055, + 542527315, + 88444851, + -1, + -1, + 990615980, + 747143703, + -1, + 943927871, + 960095018, + -1, + -1, + 919063775, + 97165029, + 963432539, + 744880205, + 333564138, + -1, + 243358713, + 421907226, + 564595243, + -1, + 720566055, + 346103625, + -1, + 848917338, + 438013501, + 583082804, + 106721447, + -1, + -1, + 728785632, + 314857026, + 337254033, + 78858968, + 30805947, + -1, + -1, + 536042474, + 54161170, + 220589389, + 698710202, + 87131770, + 741462387, + -1, + 382920142, + 684926724, + 418315588, + 227267086, + 732867612, + 487638395, + 192649984, + 519872347, + 705915714, + 289010369, + 843106383, + -1, + 621994822, + -1, + 182322514, + 830926987, + -1, + -1, + -1, + 757707353, + 151924631, + 797661893, + -1, + 124284781, + 881510619, + 337409745, + 752232024, + 592863434, + -1, + 2679995, + -1, + 262223015, + 827743643, + -1, + -1, + 410148674, + 571296530, + -1, + 305541883, + -1, + 40921030, + -1, + 713948739, + -1, + 891241249, + 953342216, + -1, + 557000413, + -1, + 922242147, + -1, + -1, + -1, + 791334499, + 494877694, + -1, + 988384275, + -1, + 710205838, + -1, + 520126536, + 691575770, + -1, + 841500626, + -1, + -1, + 913789955, + 596943019, + 944139733, + 346084985, + 474548960, + 144089743, + 127447233, + -1, + 239522644, + 268298851, + 114254825, + -1, + 699463747, + 850230870, + -1, + 555462296, + 272182071, + 728971098, + 859470202, + 265631951, + -1, + 429149759, + 489570000, + 286038635, + 630086525, + 742812893, + 983064176, + -1, + -1, + 258974042, + 692364742, + -1, + 861252816, + -1, + 159162264, + 986716019, + 276334021, + 995254789, + 657479193, + -1, + -1, + 816998763, + 510945226, + -1, + 530057771, + 307105303, + 890889366, + -1, + -1, + 507476375, + 895372868, + -1, + 439074834, + 538160060, + -1, + 69682711, + -1, + -1, + -1, + 585370437, + 379373716, + -1, + 229596979, + 458698656, + 86669141, + 78525609, + -1, + 741967867, + 904063933, + 41612538, + 101480011, + 887711036, + 482804435, + 892115580, + 861090085, + 507180079, + 359861798, + 787356367, + 180229794, + 445689187, + -1, + 737802671, + 688976673, + 780108488, + 196016690, + 130930156, + 415096274, + 281324819, + 142266084, + -1, + 61992466, + 806269410, + 661120990, + -1, + -1, + 227887242, + 79888491, + 701275832, + 996562128, + -1, + 122067348, + 776822920, + -1, + 810588405, + -1, + 790834571, + -1, + -1, + -1, + 482886290, + 453876841, + 212097811, + 926651686, + 776050861, + 879838328, + -1, + 92757929, + 646305167, + 413913825, + 146771085, + -1, + 435720667, + 368244492, + 774819498, + 845603821, + 974625759, + 91299226, + -1, + 7574721, + 579984916, + 197634300, + 595538745, + 60365532, + -1, + 173552166, + -1, + 392082921, + 670760388, + 314140459, + -1, + -1, + 309087825, + 164911331, + 44158636, + -1, + -1, + 810391412, + 545129945, + -1, + 955024128, + 967222323, + -1, + 968874382, + 598105983, + 328079263, + -1, + 7432048, + -1, + 392972808, + -1, + -1, + 600037737, + -1, + -1, + -1, + 202709502, + 514246773, + 898689260, + 441764708, + 722149963, + 146438419, + -1, + -1, + -1, + -1, + 149631213, + -1, + 14715010, + -1, + -1, + 506489289, + 384233616, + -1, + -1, + -1, + 856090210, + 716866884, + -1, + 889217341, + -1, + 902150481, + 99444723, + 981220725, + 976628727, + 498378045, + -1, + 740730186, + 158942654, + 789949543, + 386796782, + 594535, + 85740100, + -1, + 843747317, + -1, + 663539172, + 135775450, + 76229849, + 388254895, + 520895469, + 742195939, + -1, + -1, + -1, + 643513883, + -1, + 65560436, + 293612214, + 919823816, + 340567804, + -1, + 125484628, + 696013946, + 996512227, + 12910056, + 65989410, + 465388210, + 103962558, + 581566022, + 185184583, + 357634695, + 507836669, + 518837838, + 929276411, + 516346815, + -1, + 877973393, + 279160016, + 262960997, + 120112805, + 516951301, + -1, + -1, + 835049044, + 201333167, + -1, + 628687184, + 612716448, + 847934214, + 722250321, + 361149050, + 635291475, + -1, + 661586245, + -1, + 569696503, + 455548655, + -1, + 794423812, + -1, + 671444579, + 757558731, + 141266698, + 333296979, + -1, + 615875281, + 731537124, + 229755205, + 248526971, + 483983906, + 494955583, + -1, + -1, + -1, + -1, + -1, + 509560877, + 105974321, + 302925111, + -1, + 805866829, + 16817897, + 614992939, + -1, + -1, + 832832882, + -1, + 796116362, + -1, + 816332689, + 874949663, + 876050063, + 812875000, + -1, + -1, + 786100161, + 880144286, + 274707298, + 478224844, + 728290713, + 562930395, + -1, + 444717461, + -1, + 992227262, + 240777067, + 605438352, + 405887160, + 355132002, + 226070516, + -1, + 366010797, + 55174365, + -1, + 324699519, + 155504175, + 156922717, + 173817558, + 394513262, + 989117662, + -1, + -1, + 153231606, + 399565187, + 727827686, + -1, + -1, + 266778677, + -1, + -1, + 290320818, + -1, + 913234730, + -1, + 946583766, + 756128018, + 142800844, + 784327116, + -1, + 451052869, + -1, + -1, + -1, + 262597990, + 211655909, + 410804149, + -1, + -1, + 897494688, + 660108399, + -1, + -1, + -1, + -1, + 3978446, + 809052822, + 460601040, + 168933669, + 702950821, + 867350800, + 728638680, + 448803416, + -1, + 814097399, + 948645719, + 136493574, + 683380733, + -1, + 359070715, + 138130223, + 258338728, + 809097815, + 165655149, + -1, + -1, + 669889658, + 930533949, + 802637414, + -1, + -1, + 229702253, + -1, + 464682478, + 136367108, + 914940589, + 10816913, + 153519324, + -1, + 98889335, + 109045486, + 996491658, + 148726793, + 531430317, + 458044097, + 782721612, + -1, + 903992385, + 482551480, + 990765656, + 65520323, + 134926361, + 265675580, + 138925096, + 119682265, + -1, + 365149710, + 272106212, + 420182444, + -1, + -1, + -1, + 314688964, + 265158800, + -1, + 701538144, + -1, + 648668865, + -1, + 418019135, + 310216774, + 945472296, + 437094367, + 785955472, + 40815202, + 211680240, + -1, + 335014651, + 496601305, + 414888330, + 984858043, + 573151484, + -1, + 423619525, + 371386183, + 358990969, + 494566531, + -1, + 424441152, + 13557963, + 110983871, + 125980410, + 169822811, + -1, + 107666199, + 316982267, + -1, + 73978852, + 290037715, + 800034965, + 434963249, + 383284258, + 671997758, + 833860244, + -1, + 291976996, + 906261313, + 810860999, + -1, + 919915285, + -1, + 120569379, + 807835862, + -1, + -1, + 194578408, + 270663173, + 362296311, + 289464582, + 753348886, + 233144635, + 733688564, + 154623292, + -1, + 713653856, + 482659354, + -1, + 962380432, + 377663811, + 119222686, + 4594964, + -1, + 698724380, + -1, + 658633609, + -1, + 993380178, + 334667907, + 649360876, + -1, + 289968299, + 338180050, + 922952576, + -1, + -1, + -1, + 185918540, + -1, + 610300096, + 637345809, + 725021298, + 242621048, + -1, + 368764303, + 511292006, + -1, + -1, + -1, + 217419775, + -1, + 256741102, + -1, + 884560265, + 526737158, + 958269547, + 722137099, + -1, + 882096554, + -1, + 232691155, + 5608338, + 98753992, + -1, + 863019337, + -1, + 806242258, + -1, + 167330168, + 969641505, + 803134177, + -1, + 153879053, + 233601292, + 57568215, + -1, + 602371474, + -1, + -1, + 858822228, + 282020758, + -1, + -1, + 315073677, + -1, + 613328577, + 370544016, + 188308938, + 25707036, + -1, + 317546026, + 795071054, + -1, + 829218072, + 743406689, + 536538865, + 458759321, + 718836341, + -1, + -1, + 175821742, + 528863243, + 128916837, + 845251687, + 566023015, + 828331402, + 898274445, + 962047345, + -1, + 759605654, + 727777837, + -1, + 214624272, + 928360363, + 995653407, + 579209895, + -1, + 386369930, + -1, + -1, + 522327071, + 649991130, + 909839540, + 297742079, + -1, + -1, + -1, + -1, + 48773593, + -1, + 253004694, + 932437062, + 190113696, + 506715958, + 648184345, + -1, + 808024357, + 320857062, + 137528809, + 707914179, + 801393792, + 964969990, + 898638177, + -1, + -1, + 301555694, + 91765649, + 85877055, + -1, + -1, + 613679774, + 335608594, + 822578714, + 127823043, + 348559670, + -1, + 264673421, + 337881263, + 972961731, + 883380968, + 89178697, + 491787046, + 187892437, + 206808414, + -1, + -1, + 757436471, + -1, + -1, + -1, + -1, + 546994915, + 333511152, + 464406959, + 852974138, + 279198141, + 9072900, + 33748758, + -1, + 853674725, + 246477018, + -1, + 640250362, + -1, + 902293565, + 322246819, + 447487539, + 808036052, + -1, + -1, + 651583364, + -1, + 431140373, + -1 + ], + "output": 989012398 + }, + { + "input": [ + 750354075, + 333104895, + 149585610, + 913304939, + 486884091, + -1, + 423409213, + 619193586, + 801032135, + 23239194, + -1, + 960617650, + 716568388, + 454368596, + 775346308, + -1, + 160838491, + -1, + 953206344, + 528922884, + 460852141, + 789438249, + 495190519, + 762287796, + -1, + 895256185, + 671333928, + -1, + 509490608, + 45375807, + 30748526, + 45201715, + 319337599, + 305459524, + 110103463, + 415437222, + 632683939, + 807415592, + 315902108, + -1, + -1, + 386412863, + 422717534, + 191675962, + 490771639, + 483651298, + 469143448, + -1, + 777708674, + 568551760, + 944851986, + 768634633, + 346180079, + -1, + 48897687, + 11492079, + 424165645, + 724714816, + -1, + 800038304, + 556233966, + -1, + 443551152, + -1, + -1, + 657852597, + 339792147, + 264756176, + -1, + 591202430, + 178507874, + 863245265, + 692740254, + 571041122, + 820448847, + -1, + 15048234, + -1, + 714128073, + 975959336, + 697135675, + 107931238, + 736438337, + -1, + -1, + 647545167, + 19589420, + 726720414, + 945260610, + 359566994, + 508867227, + -1, + 291035375, + 354195654, + 379918933, + 14231756, + 971529346, + -1, + -1, + -1, + 937135215, + -1, + 296020667, + 314268656, + 607989192, + 692824692, + -1, + -1, + 258206532, + 278948505, + 730402328, + 146269497, + -1, + 927600825, + 817150863, + 203880242, + -1, + 487749729, + 336535420, + 242646779, + 580015135, + 661291099, + 14497958, + 438091043, + 374515137, + -1, + 825329758, + -1, + 997438, + 549989810, + 231545722, + 704253711, + 61894509, + 706670877, + -1, + -1, + 100323418, + 660879629, + -1, + 362981139, + 701311619, + 757211392, + 432019754, + 142831312, + 841913770, + -1, + -1, + 518180118, + 192197812, + 61801117, + 652081046, + 841953688, + 590579855, + 443306811, + 337073301, + 840489801, + 573390284, + 948586567, + -1, + -1, + 951195659, + 443870681, + 742415060, + 108738005, + 273519060, + 20194741, + 76757136, + -1, + -1, + 15101558, + 139668628, + 360688131, + -1, + -1, + -1, + 405901610, + 31888203, + 797024224, + 971941902, + 555764211, + 306570246, + 544030224, + -1, + -1, + 444096767, + 852360687, + -1, + -1, + 332402522, + 257494357, + -1, + 713593932, + -1, + 37021437, + 793327639, + 702066520, + 593315312, + 227271645, + -1, + -1, + 700588003, + 286212432, + 586419829, + 222517459, + -1, + 923341878, + 264924778, + 467114937, + 524999435, + 15069508, + -1, + -1, + 766766332, + -1, + 279432189, + 226271872, + 850277791, + -1, + 894954363, + 147005277, + -1, + 799161112, + 423585761, + 126929701, + 12148437, + 662736433, + 703847740, + 421864386, + -1, + 303861165, + -1, + 3505059, + 627955267, + 845914858, + 984314272, + 878415174, + 783761631, + -1, + 623892091, + 287794903, + -1, + 866845259, + -1, + 489176224, + 934575336, + 867137150, + 869749387, + 988817, + -1, + 481229889, + -1, + -1, + 687241435, + 634389314, + -1, + 48131765, + 240189953, + 189222866, + 966200741, + 73439369, + 818620700, + -1, + 982502011, + -1, + -1, + -1, + 36689018, + 791435649, + -1, + 328258874, + -1, + 998612506, + -1, + 391716054, + 873505518, + 467833288, + -1, + -1, + 188421752, + -1, + 533631260, + 557677902, + 144144054, + -1, + -1, + 640118945, + 459949394, + 238100375, + 712072099, + 443030912, + -1, + -1, + -1, + -1, + 953848804, + 783287336, + -1, + -1, + -1, + -1, + 519976225, + 434181421, + -1, + 135573903, + 480053889, + -1, + -1, + 198552093, + 233249046, + 77120626, + 418969664, + 423614790, + 454564790, + -1, + 215052081, + -1, + 763497699, + 673041746, + 985641407, + 849187599, + 798920212, + -1, + 402432633, + 721370438, + 641427647, + -1, + 458968992, + 540202952, + 928310089, + 252154342, + 12455793, + 697747332, + 282600926, + 139097985, + -1, + 615549972, + -1, + 744566208, + -1, + -1, + -1, + 662850577, + 106648986, + 587932569, + 332930792, + 656699169, + 105436608, + 577088404, + 856277825, + -1, + 291881610, + 550652832, + 568239024, + 770352970, + 443942566, + -1, + 639330032, + -1, + 20721074, + 208991011, + 953138174, + -1, + 898949380, + -1, + 721044100, + 448590842, + 600747313, + 462363354, + 798782558, + 875529077, + 156270103, + 597340205, + 637730293, + 333805304, + 256310355, + 30889384, + 825909151, + 752669278, + 491366251, + 101203404, + 656890471, + 289076131, + 219843546, + 930334747, + 541090192, + 292587792, + 162011564, + 37152022, + 28272282, + 729979471, + 802781092, + 761201204, + 562258755, + 557705877, + 349312432, + 482385039, + 28609843, + -1, + -1, + 201891463, + 793322026, + -1, + -1, + 946112315, + 843096449, + 812377714, + -1, + 507345175, + 666077813, + -1, + 722427230, + 894887547, + 795281320, + 296449808, + 695190480, + 678196712, + 139702985, + 643260614, + 180444616, + 838239613, + -1, + 698311433, + -1, + -1, + -1, + 535675103, + 951232355, + -1, + 9626561, + 620347530, + -1, + 209216605, + 676342788, + 79939000, + 678785610, + 471819049, + 17164808, + 878074012, + 212114659, + 217901083, + 390786861, + 327924944, + 748583654, + 48150951, + 373676068, + 284242782, + -1, + 806777596, + -1, + -1, + -1, + 557486029, + 416711372, + 656827237, + 632923372, + 866360231, + -1, + 773047351, + 385941787, + 463976124, + 635721685, + 45956147, + 256605937, + 285495877, + 473808119, + 799118708, + 487725886, + -1, + -1, + 376982869, + 340886155, + -1, + -1, + 734871035, + 882374002, + 633300897, + 255709935, + 296413218, + 147532429, + 219741926, + 668934632, + 568215810, + 511769414, + 67466, + 273860078, + 828479508, + 853043798, + 17436933, + -1, + -1, + 865367859, + 827416730, + -1, + 771130767, + -1, + 565550952, + -1, + 697649475, + -1, + 965071147, + 849090481, + 627931657, + -1, + -1, + 205769109, + 770764257, + 247569857, + 602162069, + 112646521, + 112965731, + 855161862, + 797577511, + 352762304, + -1, + 905818660, + -1, + 554517391, + -1, + -1, + 608707510, + 434107482, + -1, + 904666592, + 387223065, + 171017980, + 814739570, + 542544871, + 611002773, + -1, + 408050485, + 952759979, + 949574216, + -1, + -1, + -1, + 605047321, + -1, + -1, + -1, + 862675932, + 463129576, + 206416067, + 517762724, + 879866672, + -1, + -1, + -1, + 218767642, + 140748632, + 477472666, + 714179334, + 994339161, + 547152318, + -1, + -1, + 788061060, + 829504394, + 110623548, + 618294193, + 901445089, + -1, + -1, + 821483952, + 944996696, + 938825580, + -1, + -1, + -1, + 908263320, + 436846300, + -1, + 571880916, + 886804164, + 539432085, + -1, + -1, + 306835362, + 470423228, + 46093320, + 896807301, + -1, + -1, + 208010925, + 430774292, + 392672418, + 15525366, + -1, + 827023685, + -1, + 676998921, + -1, + -1, + 306466277, + 904903598, + 165845036, + 770434260, + -1, + 892162555, + 766564505, + 671196283, + 805854473, + 613140238, + 733045421, + -1, + 870958769, + 436796713, + 807542616, + 855636650, + 420618120, + 851353404, + -1, + 822487788, + 18862516, + 572986760, + 820721087, + 727717680, + 529468732, + 418525315, + -1, + 425334640, + 937433740, + 386513178, + 105984388, + -1, + 827375171, + -1, + 427691325, + 282125385, + 523713173, + 699132149, + 974211565, + 59995414, + 287633500, + 796182946, + 723521899, + 19174997, + 847582730, + -1, + 641380290, + 971867625, + 590667840, + 52725209, + 735128660, + 688930420, + 893892921, + 963822978, + 933878988, + 401264820, + -1, + -1, + 948216471, + 379860703, + -1, + -1, + 188044767, + 955787523, + -1, + 616000179, + 217185936, + 662950529, + 321664031, + 340261068, + 404253707, + 256350455, + -1, + 555985130, + 399723792, + 679495205, + 625897476, + 212895037, + 261912157, + 508617808, + 10036501, + 802066995, + -1, + -1, + 255104663, + 467743793, + 428388511, + 936223830, + 751572182, + -1, + 536113077, + 400008598, + 720065979, + 656648934, + 166470276, + 438933203, + -1, + 302709769, + 642650576, + -1, + 406609353, + -1, + 296677455, + 775247678, + 520984395, + 59358564, + 73208163, + -1, + 732381225, + 444949374, + 403068988, + 644124270, + -1, + 363698871, + -1, + -1, + 35625601, + 581938905, + 583582134, + -1, + 138037244, + 345108693, + -1, + 746443795, + -1, + -1, + -1, + -1, + -1, + 110356926, + 51287992, + -1, + -1, + -1, + -1, + 473789710, + -1, + 579482037, + -1, + 770228050, + -1, + 351695680, + -1, + 607851507, + 249505476, + -1, + 262685777, + 732588021, + 5447358, + -1, + 911723316, + -1, + 387192321, + 643279012, + -1, + 302534656, + -1, + -1, + 453294651, + 183892906, + 216122066, + 138952695, + 742644018, + -1, + -1, + 840635936, + 997137547, + 711662625, + 287003633, + -1, + 820829570, + -1, + 644732399, + 736229532, + 432315174, + 771798991, + 283475163, + 6855074, + 29662979, + 106632798, + 144978703, + 635654468, + 826166366, + 820825743, + 57014518, + -1, + -1, + 699737230, + 525978255, + 333327056, + -1, + 962107695, + 793192838, + 429100972, + 981988194, + 138619976, + -1, + 881892735, + 490003640, + 777904600, + -1, + 308713639, + -1, + 918936982, + 96375201, + -1, + 75761825, + 379426270, + -1, + 351950566, + 367282296, + 888953856, + 865139070, + -1, + 291027995, + -1, + 269754590, + 26255766, + -1, + 841549022, + -1, + 191037297, + 103944367, + 983353834, + -1, + -1, + 491708922, + 505714992, + 367294561, + 975460304, + 393774254, + 681278546, + 188052591, + -1, + 577829113, + -1, + 668779, + 610828936, + 262817604, + 705010433, + 566054827, + -1, + 752615809, + -1, + 492454013, + 293692429, + -1, + 610781428, + -1, + 920142205, + 657343286, + 535808064, + -1, + -1, + 194717565, + -1, + -1, + -1, + -1, + 463124855, + -1, + 374274136, + 427068840, + 848492330, + 758125992, + 656722101, + -1, + 638333492, + -1, + 228803182, + -1, + 440412624, + -1, + -1, + -1, + 564429328, + 186971044, + -1, + 368359821, + 132731499, + 987433199, + -1, + 806074967, + 573320952, + 736902215, + 411125324, + 585302394, + -1, + 403812371, + -1, + -1, + -1, + 971474208, + 693008351, + 386663718, + -1, + 70894880, + 833854966, + 106630467, + 977919852, + 192929687, + -1, + -1, + 260706598, + 219969115, + 48179921, + -1, + 514454345, + -1, + -1, + -1, + 428467592, + 861922112, + -1, + 464641229, + 482312275, + 601649387, + 314291501, + 857137342, + 696841860, + 285371297, + 719523237, + -1, + 336100322, + 915616569, + 580789430, + 311214512, + 928454783, + 755345646, + -1, + 519517943, + 483375174, + -1, + -1, + -1, + 105745046, + 944563433, + 257315202, + -1, + 215407877, + -1, + -1, + 542227517, + 924606065, + 66140737, + 105833010, + 425484002, + 68106932, + -1, + -1, + 134970077, + -1, + 718177063, + 274241218, + 365909221, + 255997653, + -1, + 115270305, + 88207043, + -1, + 211574307, + -1, + 691031884, + 512174236, + 481607971, + -1, + -1, + 469220356, + 4627849, + -1, + 960117910, + 16250651, + 361258512, + 779903339, + 287542391, + 440812924, + 540626085, + 559172529, + 704236445, + 884908520, + 472055869, + 697010982, + 580130269, + -1, + 864816255, + -1, + 425634503, + 17369772, + -1, + -1, + -1, + 893912459, + 956909298, + 837701818, + 884008890, + 880726960, + -1, + 600685155, + 995414792, + 116758441, + 771008860, + -1, + -1, + 579876401, + 734660674, + -1, + -1, + -1, + 427129225, + 23809459, + -1, + 130008384, + 741341664, + 29131661, + 921216409, + 517600299, + 855715893, + 764401744, + 696279761, + -1, + 627772398, + 175240797, + -1, + -1, + 61367115, + -1, + 984678999, + -1, + 877616305, + 571488045, + 262541823, + 746070267, + -1, + 904925412, + 960212269, + 257953461, + 430831144, + 237311733, + 459270918, + 826780159, + -1, + 853451881, + 318567497, + 900377655, + 173306803, + -1, + 248075150, + 412598265, + -1, + 201854112, + 638325000, + 536512772, + 57507468, + -1, + 322729508, + 515661709, + 646561106, + 164202826, + 100442316, + -1, + 234618604, + 210796932, + -1, + -1, + 855995710, + 298669687, + 835808494, + 81867528, + 70434601, + 648608977, + 774281964, + -1, + 461352867, + 589897246, + -1, + 272345520, + 846908295, + 925824497, + 127469997, + 715485919, + -1, + -1, + 833100738, + 708007578, + 224135339, + 330713043, + 711480515, + 892719838, + 221189804, + 229492797, + 374737556, + -1, + 804409658, + -1, + -1, + -1, + -1, + 473949326, + 265298193, + 690539182, + -1, + -1, + 485880181, + 108931227, + 456749260, + 676986283, + 193580795, + -1, + 139141004, + 176296091, + -1, + 696630221, + -1, + -1, + 405629303, + -1, + 838157309, + 972247761, + 199753147, + 118185924, + 800155868, + -1, + 900662973, + -1, + -1, + 923850164, + 282959658, + 984887658, + 246574123, + -1, + -1, + -1, + 723477645, + -1, + 267348223, + 118755819, + 360168867, + 758766842, + 679139790, + 389909373, + 811635824, + 365839008, + 756838476, + 652476124, + 250237833, + -1, + 81135880, + -1, + -1, + 871229793, + 978301658, + 199431078, + -1, + 307989396, + -1, + 705136478, + 930677560, + 147780599, + 849413727, + 198165153, + 276925018, + -1, + 391790864, + 362163022, + -1, + -1, + 627342874, + -1, + 863088743, + 644920104, + 750726082, + 209165074, + -1, + 448026701, + 28481707, + 985268378, + 89619551, + 386834524, + 39026153, + -1, + 831018424, + -1, + 308265140, + 993747400, + 351061721, + -1, + 460644664, + -1, + 382233442, + 121812234, + 753764203, + 646992960, + -1, + -1, + 865219106, + 144817510, + 220763040, + 112471804, + 322901428, + 963448303, + 670367409, + -1, + -1, + -1, + 239304507, + 806922611, + 965757209, + 492966680, + 618115641, + 578509822, + -1, + -1, + 939898143, + 298950396, + -1, + 679223493, + -1, + -1, + 347745097, + 402711770, + 902828911, + 175931967, + -1, + -1, + 683655236, + 856841745, + 926922521, + -1, + 402301107, + -1, + 124488035, + 523089174, + -1, + 898662342, + -1, + -1, + 119019550, + 740700393, + 381758455, + 508914983, + 797546213, + 800544027, + 422397333, + -1, + -1, + 297465749, + 303074932, + 962003897, + 861579022, + -1, + -1, + 300541754, + 437156155, + 55921672, + 353595266, + 840271654, + -1, + -1, + -1, + 796306735, + 596706145, + 808562593, + -1, + 162745888, + 713327921, + -1, + -1, + 618833454, + -1, + 29171227, + 797898758, + -1, + 122525166, + -1, + -1, + 586791531, + 272464198, + 6753662, + 610250610, + 337965106, + 526881859, + 829100540, + -1, + -1, + -1, + -1, + 990477433, + 789195411, + -1, + 803208641, + 511077415, + -1, + 682042406, + -1, + 384727057, + 618668751, + 10585914, + -1, + -1, + 280325842, + 962681556, + -1, + -1, + 127277983, + 29170238, + 322062291, + 329693743, + 705915788, + 512387928, + 45037026, + -1, + -1, + 875655908, + 505530765, + 232761648, + -1, + 173174742, + 912413804, + 896119662, + 729251521, + 899227580, + -1, + 39844031, + 627847231, + 976523753, + 332019405, + 378414034, + -1, + 591375495, + 967276363, + 833672584, + -1, + 534729125, + 106746204, + 897208309, + 226871715, + 479119517, + 897536012, + -1, + -1, + 923448367, + 586057931, + 725097053, + 5966449, + 516992503, + 741377839, + 469198322, + 611427099, + 441404882, + 865299064, + 826982215, + -1, + 517477140, + 569054790, + 483063266, + -1, + -1, + 258825422, + 706896522, + 16426698, + 598014292, + 829121394, + 628434961, + 767344476, + 27572270, + 486005887, + 731802347, + 325492852, + 421012603, + 524482150, + 723011972, + -1, + 95932095, + -1, + 693544106, + 569319296, + 898792863, + -1, + 292665739, + 322050938, + 832249864, + 957970521, + 527124045, + -1, + -1, + 104602051, + -1, + 731670845, + -1, + 137439164, + 779641232, + 931145307, + 349033237, + -1, + -1, + -1, + 237988484, + 497377777, + 836031626, + -1, + -1, + 988403096, + 668308836, + -1, + 895724894, + 365638675, + 216111061, + -1, + 332444650, + 158678387, + 626950666, + -1, + 71439817, + -1, + 818832081, + 826147219, + 159777918, + 807213080, + 710362698, + 147963923, + 572142136, + 407699692, + 916303783, + 986807105, + 649426031, + 502198542, + -1, + 37092997, + -1, + 147167743, + 756688388, + -1, + -1, + -1, + -1, + 981353250, + -1, + 228682838, + 449402753, + 661890742, + -1, + -1, + 637321413, + 16898555, + -1, + 145604192, + -1, + 724536218, + -1, + 637030353, + 544898522, + 72585419, + 416940982, + 844839487, + 560486891, + 962649268, + 43698562, + 36924304, + 275327175, + 706723482, + 686914737, + -1, + 917532369, + -1, + 416478795, + 939633202, + 948450648, + -1, + 623891906, + 791917000, + 183170756, + 812910943, + 452980484, + 970775972, + 981903389, + 927103729, + -1, + -1, + 715982722, + -1, + 247916542, + 353735488, + 39664245, + 787445634, + -1, + -1, + 570836180, + -1, + 777866187, + 81342851, + 704409689, + 856915013, + 681433908, + 71271248, + -1, + 118988656, + -1, + 967201910, + 753187886, + 319403112, + -1, + 783101313, + 10409907, + 707687077, + 182628077, + -1, + 704083729, + -1, + 185643964, + 885963505, + -1, + 87651731, + 972359628, + -1, + 708999754, + -1, + 637985120, + 47133065, + 125999243, + -1, + 577618405, + 804525174, + 324260937, + 468810209, + 941883191, + 369585036, + -1, + 268501219, + 922855723, + 880717927, + 850270823, + 428482330, + 114280597, + 197875885, + 664903199, + -1, + -1, + 908338293, + -1, + 740794911, + 241916062, + -1, + -1, + 170248049, + -1, + 877113010, + -1, + 923445406, + 908856852, + -1, + -1, + -1, + 510679340, + 150457514, + 731098991, + -1, + 945766996, + 741190620, + 530190997, + 953425430, + 864608330, + 829610285, + 478044835, + -1, + 670637378, + -1, + -1, + -1, + 485847853, + 56195261, + -1, + -1, + 313243410, + 833858095, + -1, + -1, + 431201474, + 128704288, + 178581251, + 675812518, + 729459304, + 539502012, + 512094841, + 883985687, + -1, + 725098305, + 842691559, + 382451459, + 839599913, + 825130392, + -1, + 668540943, + 216287015, + -1, + 393319955, + -1, + 630349894, + 119416819, + -1, + -1, + -1, + 434748664, + 121171200, + -1, + 194672495, + 58046221, + -1, + 669031497, + 994505269, + 307952665, + 772027181, + 507950381, + 923506876, + 532961037, + 531631870, + 391232359, + 652962403, + 982523988, + 647194936, + 266722041, + 658398592, + 700782408, + 354830056, + 731769892, + 496161897, + 19278479, + 138535861, + 456810365, + -1, + 414747567, + 330395496, + -1, + 759230412, + 202310004, + 90227590, + 877586435, + 30806249, + 436751945, + 538364233, + -1, + 414436403, + 711380544, + 698122919, + 122044876, + 269660091, + -1, + 169532968, + -1, + -1, + 501914885, + 615922967, + 598046996, + 175043950, + -1, + -1, + 128923162, + 471354361, + 993944067, + -1, + -1, + 38254036, + 822826910, + 478856262, + 676868350, + 750037574, + 764542833, + 77923081, + 919861779, + -1, + -1, + 158920947, + 60933070, + 142226568, + -1, + 740992775, + 603934409, + 205912483, + 336245910, + 314063613, + -1, + -1, + 140491907, + 254600523, + 789351093, + 985153144, + 750581140, + 808516685, + -1, + 599388614, + -1, + 672959369, + -1, + 728255075, + 528382203, + -1, + 238261592, + 953125437, + 466539267, + 739466873, + 968253890, + 708802508, + 408054272, + 916242117, + 567549192, + 886158890, + 922849320, + 442951227, + 358457920, + 146896948, + -1, + -1, + 314842719, + 385187242, + -1, + -1, + -1, + 438489919, + 459087512, + -1, + 463535316, + 339204214, + -1, + 140760548, + -1, + -1, + 231255049, + 290771328, + 481692191, + 946957558, + 201548081, + 662369398, + 837731038, + -1, + 225226527, + 522096489, + 141870674, + 637025091, + 958198750, + 179540111, + 529772779, + 992242199, + 756938124, + 965238024, + -1, + 414247458, + 665541124, + 532007757, + 80999572, + 640920250, + 382493096, + 754919876, + 781367249, + 193078532, + 571112994, + -1, + 53317117, + 651878779, + 780343443, + 844841660, + 136276224, + 836280907, + -1, + 689534003, + 955369795, + 197702567, + -1, + -1, + -1, + -1, + -1, + 408017406, + 298584609, + 724396105, + 515387955, + -1, + 949930739, + 244211089, + 35870021, + 44975677, + -1, + 407212851, + 260209996, + -1, + 229323784, + 260222389, + 683801496, + 80681649, + -1, + -1, + 350687380, + -1, + 963741063, + -1, + -1, + 565917236, + 650617996, + 437828603, + 228984967, + 462704835, + 525259863, + 731955264, + 27437196, + 62666482, + -1, + 472740370, + 863488174, + 347093266, + -1, + 408038339, + -1, + -1, + 155780366, + -1, + -1, + 278112408, + 686281155, + -1, + 305187190, + -1, + 984683792, + 652375441, + 124382083, + 809450511, + -1, + -1, + 699556805, + 125980680, + 860106091, + 499079983, + 449436807, + 640886442, + 427936789, + -1, + -1, + 961926724, + 797820910, + 260667552, + 184386604, + 618080988, + 780739778, + -1, + 650135028, + -1, + -1, + -1, + -1, + 717433620, + -1, + 665824804, + 800360804, + 785178002, + -1, + 73068862, + 74202335, + -1, + -1, + 273560890, + -1, + 669754308, + 756579719, + -1, + 499911658, + 489852592, + -1, + -1, + 442127650, + 9704780, + -1, + 175384821, + 102215764, + 477505882, + 708848908, + -1, + 676294290, + 672062132, + 326913525, + 98956421, + -1, + 762220915, + 26800616, + -1, + 524097887, + 78127206, + 342153920, + 256376961, + -1, + 921214262, + 863029912, + -1, + 893093382, + 520967740, + -1, + 626171527, + 635561361, + 342251320, + 112727468, + 27632903, + 57234649, + 856215379, + -1, + 272920752, + 518079198, + 372817144, + -1, + 356597181, + -1, + 248457048, + 674743938, + 844859247, + 784270709, + 153337399, + 200019402, + 208068253, + 586329147, + -1, + 359435506, + 205857879, + 263962108, + 825633696, + -1, + 256149900, + 287658865, + -1, + 249767691, + 170484002, + 382656694, + 649352932, + 463153817, + 421268136, + 911888153, + 33149582, + -1, + -1, + 548301835, + 571003132, + 71559406, + 210199914, + -1, + 502791875, + -1, + 858317447, + 386550158, + 124512102, + 835258634, + -1, + 739436818, + 667758187, + -1, + 506395720, + 291331093, + -1, + 286569545, + 479217907, + 878487706, + 888737496, + -1, + 19397431, + 881993886, + 239008580, + 73108231, + 249868603, + 116678062, + -1, + -1, + 264430479, + 716754174, + 85074312, + 763597371, + -1, + 350011140, + -1, + 847274174, + 963441691, + 134209802, + 545898460, + 353933337, + -1, + 417084740, + -1, + -1, + 805863709, + 279486834, + 995936378, + -1, + 632776382, + -1, + -1, + 636627654, + 623931975, + -1, + 435482931, + 727330904, + 448836666, + 441720077, + 145395959, + 871566011, + 500194788, + 650624368, + 55056607, + 690125471, + 470467945, + -1, + 998521551, + 221231876, + 418930738, + 382813246, + -1, + 323840253, + -1, + 688746627, + 204211557, + -1, + 263336498, + 178976702, + 755605134, + 510808892, + -1, + 727105520, + 867165783, + 684525097, + 809931809, + 265590711, + 517637727, + 432478803, + -1, + 717020513, + 401121786, + -1, + 259091820, + -1, + 579514074, + 662956660, + -1, + -1, + 388399390, + 779733379, + 353571089, + 81755138, + 217955488, + 906604955, + -1, + 679648358, + -1, + 250906826, + 12551832, + 280593555, + 230271029, + -1, + 342735616, + 340592500, + 884957251, + 202479759, + 627433486, + 462157190, + 176159316, + 361001901, + -1, + 337456042, + 902291263, + 941610783, + -1, + -1, + -1, + 704529115, + 241744431, + 857966711, + 261043933, + -1, + 206220646, + 246060387, + 979257642, + 570782167, + 595795401, + 366810644, + 340327460, + 144992464, + 530889850, + -1, + 20424616, + -1, + 775863455, + 490431252, + 540867740, + 730973157, + 677031664, + -1, + -1, + 439035922, + 608384731, + 892956630, + 133545049, + -1, + 639703873, + -1, + 386405226, + 684059410, + -1, + 841991951, + 554601623, + 781954222, + 46889377, + -1, + 240296276, + 429065414, + -1, + -1, + 378175459, + 735260571, + 194984113, + 2146894, + -1, + 718735040, + 822977919, + 859131776, + 826639047, + 941723184, + -1, + -1, + -1, + -1, + 34475419, + -1, + -1, + -1, + 231101754, + 221658704, + 423540860, + 916071173, + -1, + 507118879, + 978862853, + 296348512, + 5552742, + -1, + 926328674, + 571804440, + -1, + -1, + -1, + -1, + -1, + 498732529, + -1, + 111520325, + 351879607, + 312270878, + 938063125, + 409970055, + 520545092, + 727840026, + 908511399, + 270993333, + -1, + 923769625, + 396860615, + -1, + 974513801, + -1, + 74737388, + -1, + 336585823, + 4944815, + -1, + 878971288, + 210551578, + 757223060, + 78431043, + 621482404, + 740711227, + 184978936, + -1, + 373797863, + -1, + -1, + -1, + 110716603, + 44423328, + -1, + -1, + -1, + -1, + -1, + 231086938, + 301185242, + 76246437, + -1, + 516885674, + 6143360, + 510699551, + 989030711, + -1, + 130855602, + -1, + 319769301, + 742526640, + 504028464, + -1, + 609447488, + 290254145, + 474079988, + 769386330, + 543998370, + -1, + -1, + 279283099, + 526136905, + -1, + 501591545, + 788628171, + -1, + -1, + 658755686, + 603206354, + 67885964, + 69087376, + -1, + 957486210, + 731452191, + 330530331, + 82160963, + 178969606, + 999877061, + -1, + -1, + -1, + 655451617, + 368735677, + 753512107, + 371126723, + 242311690, + -1, + 813982137, + -1, + -1, + 228576867, + 38992364, + -1, + 950014489, + 434416347, + 119669392, + 614731772, + 441672359, + -1, + 31840131, + -1, + 92489662, + -1, + 1849695, + -1, + 159984720, + 38395317, + 382303725, + -1, + 88418996, + 726712381, + -1, + 488106700, + 484003856, + 10311040, + 834237355, + -1, + -1, + 277802386, + 99322939, + 746387384, + 80744996, + 507952979, + -1, + -1, + 361314606, + 80503307, + 887277261, + 489237999, + 771030111, + -1, + 723114861, + 869056748, + 991293505, + 115518878, + -1, + 971876534, + -1, + -1, + -1, + 523210210, + -1, + 138436945, + 705886032, + 419711176, + 209874178, + -1, + 619662468, + -1, + -1, + 389662252, + -1, + 899937668, + 528665397, + 61727489, + 889774212, + 835847002, + 94366597, + -1, + 853238109, + -1, + 52675063, + 888534843, + 212677361, + 979923001, + -1, + 326535249, + -1, + 336341347, + 849156923, + 100407815, + 416218530, + 844032012, + -1, + 203862480, + 267649786, + 858299815, + -1, + 227747826, + 502915368, + 293088287, + 635309526, + 702935609, + -1, + 26994251, + 402240977, + 696390150, + 39076243, + 816888096, + -1, + -1, + -1, + 234937373, + 124272216, + 394680510, + -1, + 66112469, + 931256392, + -1, + 286067124, + 664542819, + 454019682, + 597864897, + 932252442, + 863155529, + 144270752, + 161859795, + 431314647, + 909863078, + 750740982, + -1, + -1, + -1, + 292472340, + 217016126, + 61384903, + 468762231, + 846790666, + -1, + 246412320, + 71196452, + 88195763, + 130854205, + 948352034, + -1, + 805114558, + -1, + 353842241, + 584567765, + 543674950, + 301470357, + 623632899, + 411423333, + 850440881, + 210274423, + -1, + 254362593, + 532106090, + -1, + 196179192, + 406787642, + 181839900, + 737210494, + 281882555, + 527451255, + -1, + -1, + -1, + -1, + 751117371, + 384809182, + 648084646, + 938130328, + 687295195, + 716239065, + 59948736, + -1, + -1, + 673419592, + 843895040, + 401341035, + 2986730, + 309914428, + 662302095, + -1, + 55289899, + 653643041, + 194853252, + 793514697, + 976219621, + 863964685, + 634328077, + 151124429, + 412082851, + 641479414, + 997592943, + 717438081, + 952053940, + -1, + -1, + 239215869, + -1, + 163427197, + 592407780, + 28025149, + 236195710, + 227822811, + -1, + 480368300, + -1, + -1, + 22374740, + 800223353, + -1, + -1, + 669219343, + 946515147, + -1, + -1, + 956551891, + -1, + 612736934, + -1, + 887957751, + 461597463, + -1, + 122058814, + 406778548, + 645572970, + 473937483, + 288744806, + 144999099, + -1, + 267435605, + -1, + -1, + 570675525, + 865370941, + -1, + 595152499, + 41029823, + 333623012, + 622732788, + -1, + -1, + 859780524, + 133885337, + 559500961, + 716139606, + 310793477, + 728501283, + 907694891, + 140657956, + 579916631, + 716225273, + -1, + 185305124, + 918354528, + -1, + -1, + -1, + 526409380, + -1, + 818417678, + -1, + 383979595, + 902740556, + 708590529, + 339901618, + 223480987, + 382558516, + -1, + 529341265, + 718278144, + 41811185, + -1, + 6183142, + 63654396, + 420376880, + 956455356, + 495892516, + -1, + 958444690, + -1, + -1, + 66139860, + 254159442, + -1, + 374610303, + 777452342, + 234819242, + -1, + 55963918, + -1, + 281278518, + 161173869, + 138715310, + -1, + 775088161, + -1, + 635768556, + 850847860, + 90142381, + -1, + -1, + 173767155, + 874736589, + 100179266, + 604429031, + -1, + -1, + 632518111, + 532737987, + 601891413, + -1, + 342187942, + 25768234, + 180349549, + 578692023, + 801568322, + -1, + 730457014, + 348395364, + 775939070, + 850243978, + -1, + -1, + 526157079, + 526928077, + 776649953, + 635440430, + 760672962, + -1, + 542351021, + 70615693, + 356215615, + 66888804, + 759173124, + -1, + 539073059, + 364621720, + 121252797, + 70411247, + 208235092, + 511729843, + -1, + -1, + 516882592, + 326644454, + -1, + -1, + 63953251, + 859599633, + -1, + 973220759, + -1, + 858658817, + 813755469, + -1, + -1, + -1, + 780105475, + 365323819, + 740885997, + 965298398, + 945074452, + 858907480, + -1, + 779186610, + -1, + 865574154, + 960924459, + 222608943, + 164903270, + 23363326, + 340871065, + 695149976, + 906664750, + 358110413, + -1, + 73519291, + 850400776, + -1, + 2423788, + 753351296, + 278348891, + 496500265, + -1, + 280181446, + -1, + -1, + -1, + 875251717, + 243564578, + -1, + -1, + 532996890, + -1, + 473881218, + 810461496, + -1, + -1, + 143735678, + 479890996, + 265458041, + 36893457, + -1, + -1, + 114398674, + 72949388, + 347149185, + 151142582, + -1, + 503753647, + -1, + 573480615, + 127406764, + 416793283, + 817586655, + 352106619, + 698960718, + 200533362, + 264476248, + 934734891, + 834016929, + 968475756, + -1, + -1, + 124940333, + 313987720, + -1, + 862607813, + -1, + 104669555, + 273547136, + -1, + 863982108, + 524398456, + 92542225, + 516350390, + -1, + 314055475, + 763984503, + -1, + 502497596, + 192829619, + -1, + 150762385, + -1, + -1, + 125810751, + -1, + 261716868, + 977704616, + 874753260, + 763435966, + 8014525, + -1, + 68386118, + 651354051, + 51185904, + -1, + 420113132, + 37684875, + 7564044, + -1, + 28683971, + 315178189, + 288648340, + 700166268, + 344206642, + 279584679, + 972805149, + 357802496, + 251695339, + 928393609, + 434714647, + 802222067, + 281953828, + -1, + -1, + -1, + 75817195, + 898519429, + 930864070, + -1, + 213963127, + 271525586, + 980938969, + 944282929, + -1, + -1, + 758033370, + 292802306, + 937692615, + 105989084, + 724849075, + 3906897, + 832968926, + 651015246, + 157491595, + -1, + 452823684, + 692325177, + 78039419, + -1, + 674926193, + 781072373, + 444451178, + 581511719, + 563256610, + -1, + 703150739, + -1, + 58789002, + 825267504, + 786868605, + 664826918, + -1, + -1, + 705208754, + 620640733, + 309989253, + -1, + 366115813, + 465143304, + 913078133, + -1, + 167086944, + 756326614, + -1, + 324473997, + 372129366, + -1, + 409607488, + 350395874, + 606017565, + -1, + -1, + 416949584, + 190842304, + 706908937, + -1, + -1, + -1, + -1, + -1, + 736625041, + 936326908, + -1, + 310872601, + 166982155, + 273241182, + 129777766, + -1, + 50965182, + 29058376, + 465662597, + 728503503, + 94497880, + -1, + -1, + 586704737, + -1, + 966007569, + 627877364, + 122397848, + 144288070, + 205773974, + 608650130, + 413148253, + -1, + 626414347, + 580396013, + 139897373, + -1, + 745691703, + -1, + -1, + -1, + 332996341, + 561552136, + -1, + 527172837, + 264357556, + 887934141, + -1, + 568020318, + 897306876, + 414245701, + 476646015, + 823645384, + 43133107, + 13666992, + 656485240, + 8331086, + 630101695, + -1, + 666457377, + 226455977, + 101529662, + 698681804, + 830468408, + -1, + 137238084, + -1, + -1, + 458330870, + -1, + -1, + -1, + -1, + 899135885, + 237113967, + -1, + 990824031, + 335169182, + -1, + -1, + -1, + -1, + 333075482, + 624375084, + 96354584, + 940927438, + 753429368, + 211310971, + -1, + 271353173, + 438538799, + 228167582, + 187263710, + -1, + 791575287, + 598939494, + -1, + 677048265, + -1, + -1, + 327898919, + -1, + 351894578, + 342477602, + 690170647, + 247777566, + -1, + 478230522, + 747917357, + 653325774, + 83509174, + -1, + 262768135, + -1, + -1, + 195235856, + 425966271, + 514000923, + 903064665, + 320119194, + 16750568, + 971656781, + 191669137, + 883095783, + 151598173, + 619039788, + 127115439, + 723101034, + 835075491, + -1, + 358290701, + -1, + 52602282, + 885770747, + -1, + 209281327, + 671664208, + 246377727, + 806082339, + 605308468, + 732847326, + -1, + -1, + 454088579, + 88965233, + 196216453, + 833187945, + 359466155, + 524581751, + 308836639, + 33963217, + -1, + -1, + -1, + 740469310, + 27701226, + -1, + 417317413, + 716321475, + 878362721, + 533778149, + 746793760, + -1, + 488224497, + 499366645, + 588366592, + 595107074, + -1, + 712625802, + 527453014, + -1, + -1, + 571202785, + 463750179, + 734722552, + 728314232, + 969980448, + 275457963, + 895518567, + 658050698, + 693033910, + -1, + 374474931, + -1, + 46725063, + 613076197, + 850623573, + 743142810, + 936341455, + 440290546, + 85931518, + 184407560, + 741020584, + -1, + 716322760, + 959727988, + 623119764, + -1, + 527473590, + 955709968, + 695861984, + 242480324, + 764514617, + -1, + 811412753, + -1, + 49806084, + -1, + 572374686, + 482994963, + 617920415, + -1, + -1, + 610933215, + 744251732, + 790202040, + 884608874, + 352277853, + 20630581, + 17217513, + 889041012, + 76900311, + 643665774, + 15668700, + 340021134, + 369286506, + -1, + -1, + -1, + 668736415, + 120459879, + 897765864, + 330983384, + 290507663, + -1, + 192825445, + 518070452, + 779796419, + 728938404, + 690897319, + 897941303, + -1, + 858422114, + 610738933, + 548341673, + 916464776, + 125348153, + -1, + -1, + 907239209, + 403859711, + 12835012, + 653741274, + -1, + 351071233, + 663734176, + 274072066, + -1, + 370392366, + 20461287, + -1, + 17922258, + 307886580, + 410470557, + 648103805, + 4796112, + 359065949, + -1, + -1, + 757240005, + 961159001, + -1, + -1, + 591917372, + 163824651, + -1, + 925068158, + 115515647, + -1, + 957807671, + 998745540, + -1, + 259314938, + 811081613, + 393374808, + 302790049, + 614635575, + -1, + 128689943, + 283455769, + 802500961, + 745775354, + -1, + -1, + 326317107, + 394271359, + -1, + 479736877, + 383432954, + 773451271, + 801519545, + 16362918, + -1, + 905634330, + 501895784, + -1, + 368389778, + 617847046, + 195860519, + 422104643, + 343033902, + -1, + 443690364, + 172108823, + 856216696, + 85671746, + 792911189, + 452691160, + 388532513, + 580363683, + 488287625, + 796014079, + 790117548, + -1, + 868808154, + -1, + 549564588, + -1, + -1, + 108163677, + -1, + 129807029, + -1, + 537742721, + 351304162, + 584024026, + -1, + 927007570, + 755708758, + 946006123, + -1, + 559880802, + -1, + 292314147, + 143417979, + 6835219, + 668580131, + 331220409, + 557703550, + 753978350, + 753049991, + 8008656, + 106200001, + 674569224, + 419294051, + -1, + 198076649, + -1, + 735298647, + -1, + 546185211, + 482935408, + 858464188, + 390618867, + 614600846, + 367504664, + 323635918, + 451422598, + 666380792, + 775433415, + -1, + 494745973, + 178960944, + -1, + 896213834, + 432610938, + 194866271, + 617470037, + 390301485, + 581088030, + 897176070, + 743248404, + 100733661, + 704410320, + -1, + 39628782, + 574130739, + -1, + -1, + 725948663, + -1, + 685112169, + 137879462, + 487107003, + 814008, + 276561210, + 905937510, + 834733220, + 582847209, + 970277444, + -1, + 453144720, + 860869219, + 889675510, + 924488003, + -1, + 75238270, + 877936945, + 986495775, + 911830887, + -1, + 389805423, + 235588717, + 118137941, + 837006245, + 593838313, + 51913602, + -1, + 164140398, + -1, + 813411435, + -1, + 621461887, + 341006074, + -1, + 365531416, + 413878107, + 207287131, + -1, + 494930861, + 737139323, + 847570735, + 99327423, + 382092750, + -1, + 902102511, + -1, + 889344290, + 5056772, + 149908992, + -1, + -1, + 557536692, + 455079439, + -1, + 524553987, + -1, + 762583173, + 977325920, + -1, + -1, + 423968953, + 403522239, + 536281073, + -1, + 679058285, + 176726530, + 25699106, + 956502059, + 678720964, + 611895108, + 421551376, + -1, + 982773066, + 650479066, + 21203487, + -1, + 771587049, + -1, + 827462477, + 225885454, + -1, + 743324134, + 19922189, + -1, + -1, + 494986793, + 920917945, + 151656460, + 228051698, + 221522240, + 910248829, + 94828645, + 199737443, + -1, + -1, + 919312078, + 132792180, + 707286952, + 405457681, + 952247968, + 509320630, + -1, + 571620181, + 276308342, + 724989461, + -1, + -1, + 506971183, + 355550432, + -1, + 53941849, + -1, + -1, + 708120725, + 971680542, + 119186109, + -1, + 5335395, + 302772339, + -1, + -1, + 659892798, + -1, + 158127246, + 804178415, + 735350288, + 433868158, + 743980784, + 455620705, + 591939466, + 668709549, + -1, + -1, + -1, + -1, + 654118633, + 302297326, + 53446069, + 266134849, + -1, + -1, + 257224009, + 212037142, + -1, + 721549968, + 459185919, + 94002221, + 97675790, + -1, + -1, + -1, + 383004841, + 298910804, + 62391920, + -1, + 631452924, + 674472319, + 179330876, + 731132960, + 518913665, + 798318329, + 983071488, + 337686499, + 429379193, + 458613278, + 424746831, + 441854301, + 404082861, + 353763212, + 748693606, + -1, + 792625906, + -1, + 808861108, + -1, + 106684518, + -1, + 199366585, + 830572564, + -1, + -1, + 835689378, + 753970385, + -1, + 108009722, + -1, + -1, + 71111489, + -1, + 572284344, + -1, + 416449586, + 61916148, + 251364882, + -1, + 110077212, + 516913210, + 334477794, + -1, + 338199105, + 994270455, + -1, + -1, + 689706174, + 398015822, + -1, + -1, + 280489839, + 374455817, + 707035675, + -1, + 589764763, + -1, + 759588504, + 386602417, + 978806855, + 120088770, + 468666847, + 291068706, + 529815462, + -1, + -1, + 695455749, + 229608185, + 400288059, + 749535165, + -1, + 98515272, + 752652375, + 389598532, + 597579242, + -1, + 625476362, + 262405011, + 562321587, + 565640381, + -1, + 772982200, + -1, + -1, + 186240108, + -1, + 215014979, + -1, + 108036954, + 767692126, + -1, + -1, + 290607954, + 227670968, + 335949545, + 447419108, + 563334023, + -1, + -1, + 860814092, + 312352376, + 398741166, + 553666965, + 685634480, + -1, + 402000250, + 76263466, + 236482165, + 335129637, + 512890360, + -1, + 919248348, + 975787044, + 847081039, + 975963119, + -1, + -1, + 836250773, + 452740856, + -1, + 211950096, + -1, + 519264535, + 992349936, + 849182180, + 5209271, + -1, + 388812849, + -1, + -1, + 282585826, + 657543852, + -1, + -1, + 533802899, + 690090560, + 384261743, + -1, + 836825756, + -1, + 49272206, + 526091035, + 353219692, + 504559084, + -1, + -1, + 346119215, + -1, + 631274090, + 593965537, + 193046942, + -1, + -1, + 565401984, + -1, + 510766221, + 815776156, + 972742560, + -1, + 149465423, + 785746910, + 724375103, + 619083227, + -1, + 352248391, + 699925732, + 359754549, + -1, + 287762864, + -1, + -1, + 145299463, + 733509954, + 966792564, + 779569715, + 872159395, + 536543984, + 419260871, + 886343651, + -1, + -1, + -1, + -1, + 502746032, + -1, + -1, + 812729381, + 499712784, + 559789959, + 776766640, + 853406796, + -1, + -1, + 176713991, + 963879416, + 989373185, + -1, + 70569500, + 11521155, + 960723813, + 228247294, + -1, + 603449478, + -1, + 60628561, + 367922138, + -1, + 536874352, + 921324455, + -1, + -1, + 515999849, + 556577767, + 618535624, + 95814201, + 977820634, + -1, + 125600479, + -1, + 594101671, + -1, + -1, + 848972609, + -1, + 491326856, + 837993063, + -1, + -1, + 292484826, + -1, + 943444164, + 547893912, + 649830136, + -1, + -1, + 112735338, + 490092861, + 232464782, + -1, + 120220045, + -1, + 471546628, + 451750229, + -1, + -1, + -1, + 728017058, + -1, + -1, + 954213765, + 36216334, + 852256030, + 704654381, + 585316651, + 202812905, + 33731533, + 935062614, + 731169687, + -1, + 601103497, + 113048423, + -1, + -1, + -1, + -1, + 58367506, + -1, + -1, + -1, + 178636781, + -1, + 484072647, + 150218572, + 822765116, + -1, + -1, + 17621399, + -1, + 82529669, + 302706252, + -1, + 638937660, + 415033742, + 400291467, + 585429395, + -1, + 80590645, + 990734313, + -1, + 747217736, + 614068808, + 975882005, + 307836852, + 78446362, + 896483061, + 592758490, + 54457716, + 398750873, + 755662635, + 780474593, + -1, + 54755827, + -1, + 626440273, + -1, + 496231134, + 802071275, + 345240911, + 716393282, + 199168773, + 521042942, + -1, + 106778749, + 421114868, + -1, + 20459440, + -1, + 623267456, + 379486917, + 266183976, + 900645448, + -1, + -1, + -1, + -1, + 333285963, + -1, + 733108907, + 138819387, + -1, + 704488820, + 235051386, + 88983393, + 295788821, + 579713656, + -1, + -1, + 178918573, + 721163559, + -1, + 992232614, + 333102234, + -1, + 13956323, + -1, + 796220257, + 736840924, + -1, + 285863508, + 453761233, + 367487409, + 392998449, + 558700358, + 600524725, + 64844196, + -1, + 291693367, + 175100167, + -1, + 2247918, + 106237640, + 377330595, + 766630018, + -1, + 425614669, + 848401235, + 593696259, + 709974185, + 487205617, + -1, + 702600462, + 811212589, + -1, + -1, + -1, + -1, + -1, + 789115158, + 185990092, + 697457796, + -1, + 775443353, + -1, + 727603316, + -1, + 338047001, + 185123726, + 231134841, + -1, + 311791061, + 532014902, + 184310490, + 75971686, + 66076524, + 804894053, + 844739752, + 606800589, + 399751657, + 695444596, + 737981816, + 622861715, + -1, + 933062859, + 497802932, + -1, + -1, + -1, + 741513522, + 302423620, + 917312379, + 134340806, + 334382680, + 718086348, + 128464536, + 611615953, + -1, + 445497312, + 629743548, + 733129717, + 828179110, + 890926438, + 593791495, + 864802968, + 847413129, + 717801190, + 7361924, + 382127315, + 781794652, + -1, + -1, + 275609052, + -1, + 668230029, + 943926556, + 853676195, + 324459151, + 226116076, + -1, + -1, + 371965412, + -1, + -1, + 692924348, + -1, + 505497377, + 864145633, + -1, + 915023675, + -1, + 511455378, + -1, + -1, + 577083606, + 733892977, + 585380189, + -1, + 43938451, + 348629209, + -1, + -1, + 756268385, + 116502991, + 601365824, + 844522122, + 647867636, + 829012171, + -1, + -1, + 651960203, + 551288884, + 140883622, + 237940670, + -1, + 624815781, + 602836737, + 172252, + 368805655, + 413595023, + 636307707, + 195745154, + 431457810, + 769237298, + 490131090, + 740564415, + 424065239, + 643312899, + 81189001, + 732662965, + -1, + 790003667, + -1, + -1, + 528570608, + 810068593, + 84643800, + 979078337, + -1, + -1, + 688120797, + 922647479, + -1, + 236596286, + -1, + 268396540, + -1, + 301235393, + -1, + -1, + 743939374, + 256636860, + -1, + -1, + 348413550, + 393939999, + 92878827, + 164673636, + 566696917, + 703416152, + -1, + 47384294, + 534926476, + 508348501, + 435626975, + 893055608, + 968120712, + 241695437, + -1, + -1, + 67191267, + 488151671, + -1, + 497278599, + 759033055, + 526858322, + -1, + 712066814, + 934111932, + 954635628, + 489607321, + 334442436, + -1, + 980682593, + -1, + -1, + 598758508, + 943405399, + 62774405, + 175823084, + 518008030, + 198685991, + 361792315, + 269713402, + 149040303, + -1, + 982004431, + 989413861, + 707243157, + 12535854, + -1, + -1, + -1, + 814921805, + 520814890, + 572976685, + -1, + 595384847, + 459914364, + 543495160, + 257385222, + 85518634, + 338288959, + 917389509, + 323373279, + 514200512, + 777766826, + -1, + 694483453, + 139880401, + 324691895, + 552234279, + -1, + 679791838, + 761639788, + 302236864, + 885243097, + -1, + -1, + 149064289, + 186934028, + 222294783, + 364550504, + -1, + -1, + -1, + 32954332, + 151160339, + 139643597, + -1, + -1, + 793847703, + -1, + 277081328, + 964243430, + 790983515, + 932610815, + 164996477, + 260316976, + -1, + -1, + 957123747, + -1, + -1, + 163856726, + 105267049, + 528919513, + 193363450, + -1, + 189493050, + -1, + -1, + 562006699, + -1, + 393672865, + 524893073, + 31574069, + 774709718, + 142831791, + -1, + 320103340, + -1, + 492464096, + 949618907, + 20881050, + 82639679, + 959173975, + 340722616, + 717014784, + 768196961, + -1, + -1, + 880999251, + 900759545, + -1, + 368971994, + 214209945, + -1, + 528919182, + 562021687, + 273967535, + -1, + 524600609, + -1, + -1, + 544780291, + -1, + 176881347, + 112118027, + 736803394, + 921359202, + 338773461, + -1, + 944620658, + -1, + 627167008, + 65321080, + 838313981, + 745635386, + -1, + -1, + 570888905, + -1, + 933493652, + -1, + 814560759, + 761686319, + -1, + 832697812, + 992532277, + 136951623, + 813573920, + 143796873, + 725308575, + 430839854, + 198092526, + 399205789, + -1, + 847024988, + -1, + -1, + -1, + 152883553, + 662732455, + 432121991, + 121114178, + -1, + -1, + 582625386, + -1, + -1, + 936296205, + 205176515, + -1, + 81794466, + 22528397, + 290649581, + 968946538, + -1, + -1, + 960061782, + -1, + 676825648, + 434817084, + 787702000, + -1, + -1, + -1, + 843439539, + 999072035, + -1, + -1, + 472077065, + 402220645, + 437787008, + 659417137, + 78088266, + 548272394, + 910553479, + 341143420, + 784799996, + -1, + 747476758, + 728605400, + 558827087, + 990935255, + 459594317, + -1, + 758727470, + 248543071, + -1, + 738538033, + 172131164, + -1, + 20369379, + 828691691, + -1, + -1, + 197384442, + 458325198, + -1, + 240297176, + -1, + -1, + 339795743, + 581762208, + 654320423, + 128096806, + 838286596, + 287600832, + 435411954, + 717982974, + 831050021, + 891792975, + 451765566, + 639018267, + -1, + -1, + -1, + 444013027, + 853470559, + -1, + 477913657, + 598855207, + -1, + 757836466, + 142461937, + -1, + 143140715, + -1, + -1, + 118640428, + 771906391, + 884623420, + 456989089, + 255075486, + 784123468, + 571209829, + -1, + -1, + 761211676, + 676981748, + 459958592, + -1, + 862726378, + 841668942, + 259188759, + -1, + -1, + 196146719, + -1, + 578568852, + 179914148, + -1, + 441808474, + 518768964, + 129974600, + 384613204, + 934796757, + 2251540, + 789916587, + 573343717, + 368514220, + 17543403, + 389753815, + 147636763, + -1, + 678798730, + 455047106, + -1, + -1, + -1, + 198098505, + 142667577, + 60204458, + 896883045, + 695243148, + 301443019, + 657194096, + 669186126, + 395915511, + 643160672, + 10842418, + 945763227, + 443818147, + 234446302, + 333442287, + 531518152, + 435317978, + 784794560, + 552617323, + 458700566, + 900562206, + -1, + 37922239, + -1, + -1, + -1, + 8276909, + -1, + 99126341, + 130328403, + 773063749, + 564267847, + -1, + 729410584, + 685042844, + 75731147, + 278483734, + -1, + -1, + 507458609, + -1, + -1, + 783501028, + 305048629, + 714419100, + 100554799, + -1, + 181737579, + 400475667, + 11697223, + 895204969, + 530311707, + 425035597, + 139747919, + 208606983, + 243931824, + 677932176, + -1, + -1, + 942970613, + 461531489, + -1, + -1, + 970221706, + 752831363, + -1, + -1, + 8275007, + 97741564, + 908982110, + 921836566, + 465544774, + 941604768, + 85198186, + -1, + -1, + 97993128, + -1, + -1, + 144418351, + 528867898, + 740028531, + -1, + 337887310, + 800750027, + 346380457, + -1, + 571676878, + 91185902, + 516775500, + -1, + 203602900, + 424200857, + -1, + 762171009, + -1, + -1, + -1, + -1, + -1, + -1, + 691891472, + 463702900, + 838051103, + 287744690, + 790867530, + 479090072, + -1, + 699554331, + 624531013, + 345208945, + 54901917, + -1, + -1, + -1, + -1, + 375296399, + 405771829, + -1, + 745864927, + 370625899, + 997494908, + 879013548, + 339903102, + -1, + 470762405, + -1, + 579301924, + 769492743, + 352552192, + 960988065, + 677101795, + 742456977, + -1, + 580716241, + 584223154, + 434249904, + 646719427, + 375073612, + 885081549, + -1, + -1, + 331229324, + -1, + -1, + 488437380, + 741034859, + 304370544, + 606940939, + -1, + 677061640, + 606646180, + 934404348, + 579208749, + 281640698, + -1, + 451570974, + 140340830, + 685018226, + -1, + 673063278, + 659450264, + 904376535, + 297727071, + 995904262, + 940509161, + 138252355, + -1, + 570507896, + 491515969, + 822725495, + 468545830, + 819201061, + 229965986, + 657283835, + -1, + -1, + 934453562, + 503488929, + 918387303, + 932909232, + -1, + 557048577, + 133580041, + 61574953, + 705693486, + -1, + 828261856, + 283112045, + 813174773, + -1, + 233384619, + 145698012, + -1, + 791315348, + 119982802, + 745477714, + -1, + 752722092, + 99001534, + 475730135, + -1, + -1, + 773988257, + 879341359, + 135348375, + 786398782, + -1, + 727480080, + 701931782, + -1, + 174163641, + -1, + 721272448, + 758991760, + 909892632, + 545329119, + 733302230, + 234521435, + 221019697, + 310858748, + 628284574, + 671380998, + 446899675, + 474855473, + 155626621, + 867599122, + 329131852, + 19995369, + 101199335, + 694808960, + 458130184, + -1, + -1, + 185959506, + 512228744, + 869737629, + -1, + 510319527, + 521916320, + -1, + 905000403, + 769044108, + -1, + 751034925, + -1, + 197277943, + 533186096, + -1, + 968821390, + 177865529, + -1, + 922749887, + 991515530, + 793055235, + 865133927, + 443999553, + 534312087, + -1, + -1, + -1, + 601100645, + 99676584, + -1, + 346606302, + 935336492, + -1, + 672261522, + 279578979, + 869332792, + 736868177, + 36560844, + -1, + 631404322, + 709777751, + 51569134, + -1, + -1, + 17111897, + 693900844, + -1, + -1, + 204544010, + 50262745, + 313681478, + 582574188, + -1, + 31334847, + 926190197, + 625533249, + -1, + 747336326, + 700886974, + 298822541, + 360349541, + 53436481, + -1, + -1, + -1, + 998187064, + 777807179, + -1, + 100940630, + 803269571, + 470734238, + 212355888, + 184744359, + 374645561, + 310297145, + 52068273, + 288328595, + 723900481, + 180867512, + 563360225, + -1, + -1, + 368108048, + 574766887, + -1, + 355280798, + -1, + 336393521, + 544698904, + 800015403, + 142205696, + -1, + 376579259, + 285436367, + -1, + -1, + 495101455, + -1, + 213933035, + 502133643, + 937269950, + -1, + -1, + -1, + 191607712, + -1, + 630151226, + -1, + -1, + 173467598, + 185690312, + 61139706, + 879191721, + 997303486, + 250753554, + -1, + 38661871, + 519738253, + 850738510, + 697019212, + 802384297, + 424608185, + -1, + 584466544, + 927881310, + 655821441, + 830565736, + 230373858, + 880526741, + 373971310, + 482102401, + 244143334, + 128416891, + 179430995, + -1, + 120692117, + 790403733, + -1, + 625858050, + 467697955, + -1, + -1, + 676102094, + -1, + 263424469, + 202064938, + 369966246, + -1, + 751694341, + 239336915, + 136745311, + 283992997, + -1, + 60003024, + -1, + 275419457, + 732339887, + -1, + 830510131, + 629904105, + -1, + 766602440, + -1, + -1, + 19697837, + 24081413, + -1, + -1, + 950455749, + 379524479, + -1, + -1, + -1, + 496646966, + 488251782, + -1, + -1, + 540085388, + 564288640, + 804151662, + 241929139, + 240304140, + 168769783, + 524663969, + 54363931, + 68770912, + 475923516, + -1, + -1, + 348128297, + 750158595, + 121660187, + -1, + -1, + 927183832, + 192497118, + -1, + 771533115, + -1, + 858367567, + 287789560, + 814809888, + 548594803, + 993104688, + -1, + -1, + 39181814, + 992077075, + 872936697, + 529080875, + 216565472, + 197074488, + 170753175, + 576260096, + 952650110, + -1, + 271054825, + 261806636, + 448163411, + 978777050, + -1, + 118302396, + 480359329, + 95102885, + 851683743, + 175649821, + -1, + -1, + 450864238, + 630110485, + 755100174, + 558111365, + -1, + 466563033, + 94917357, + 367697140, + 121857232, + 980567544, + 470033264, + 931491210, + 524239473, + -1, + 468558974, + -1, + 813705046, + 360793392, + -1, + 365750996, + 76482962, + 264434526, + 57814930, + -1, + -1, + 533767328, + 28840632, + 395568421, + -1, + 169200444, + 770192157, + 607050725, + 531327134, + 500008631, + -1, + 420523831, + 207417042, + -1, + 151173742, + 69923509, + -1, + 655917417, + 433026706, + 118170250, + 726297172, + -1, + 851124009, + -1, + -1, + 167248642, + 595412873, + -1, + 544806221, + -1, + 525857667, + 5715875, + 230959016, + -1, + 291426941, + 930192768, + 362551029, + 891879792, + -1, + 762671730, + 562779247, + -1, + 272329234, + -1, + -1, + 443476188, + -1, + 308265087, + -1, + 207724822, + 599057372, + 413124002, + 590504467, + 616124244, + -1, + 119877217, + 334029571, + -1, + -1, + 722661794, + -1, + 95919960, + 515060840, + -1, + -1, + 804423127, + 922861852, + 502086439, + 533410601, + 849276904, + 736304582, + 44891090, + 983316474, + -1, + 98558602, + 835086482, + -1, + -1, + 651188011, + 334788848, + -1, + -1, + -1, + 899577576, + -1, + -1, + 271050083, + 179799415, + 368116706, + 739136362, + -1, + -1, + 313200168, + 724764816, + -1, + 93261500, + -1, + 25175256, + -1, + 577289996, + 580863039, + 54998394, + 361758763, + 449660139, + -1, + 640679472, + -1, + 103744971, + 708412032, + 293864150, + -1, + -1, + 908869036, + -1, + 874350534, + -1, + 439398463, + 723701915, + 559053329, + 309183180, + 274650560, + 897089794, + 826931291, + 43757509, + 172232898, + 847294101, + 112204389, + 39931206, + -1, + 24778810, + 716669703, + -1, + 364429735, + 509531284, + -1, + 60520952, + 968610932, + 275229194, + -1, + 466173141, + 512092285, + 989628694, + 6521236, + 662896914, + 721525723, + 451059665, + 987065630, + -1, + -1, + 655819029, + -1, + 600753155, + 635410130, + 851148793, + 609066766, + 897509911, + 306468451, + -1, + -1, + -1, + -1, + 646281028, + -1, + -1, + 912475505, + -1, + 952280688, + 887178235, + 431158991, + 143544590, + -1, + 518148163, + 361053919, + 690692888, + -1, + -1, + 715283549, + 855390224, + -1, + -1, + -1, + -1, + 601062178, + 296526400, + 365038387, + 591310007, + 434266224, + 856365664, + 205153743, + 25813039, + -1, + 409958655, + -1, + -1, + -1, + 534675126, + 796682923, + 255430120, + -1, + 631616972, + 945910, + -1, + 502428794, + 895297623, + 41353220, + 517189474, + 802549076, + 874803784, + 919730353, + -1, + -1, + -1, + 786580036, + 582212336, + -1, + -1, + 757549037, + -1, + 995919616, + 87270063, + -1, + 972569463, + 893106091, + 764184818, + 573526832, + -1, + 237269764, + 369346660, + 73742792, + -1, + -1, + -1, + 931590775, + 61351219, + 473958467, + 132366342, + -1, + 406594591, + 233875169, + -1, + 406228170, + 653632853, + 325703897, + 977900632, + 521227526, + 567661398, + -1, + 446708270, + 284422999, + 857337677, + 298597042, + 791690936, + 140861430, + 992340081, + 504441833, + 491975611, + -1, + 613183003, + 624775624, + -1, + 821856408, + 830570148, + 226004748, + 163741212, + 50468191, + 361963179, + 267477224, + -1, + -1, + 916510708, + 683623218, + -1, + 138796876, + 824133137, + 880114834, + 262096133, + -1, + 579716950, + 90629567, + -1, + -1, + 581908817, + 651055803, + 495206866, + -1, + 662702554, + 338395370, + 619828248, + 284037842, + 820424753, + 748590723, + -1, + 746999132, + 516740628, + -1, + 356173198, + 854536498, + -1, + 464344985, + -1, + 731357285, + 414257637, + 424380619, + 892992089, + -1, + 710673890, + 577119408, + 522052407, + 418769274, + 157428828, + -1, + 214974367, + 997843001, + 778002619, + 469115137, + 721110794, + -1, + -1, + 104686605, + 99198431, + 874410683, + 377370071, + 541900839, + 215809459, + 918224104, + 30244635, + -1, + 103548068, + -1, + 914437901, + 185889837, + 880208083, + 546523904, + 801852223, + 272868971, + 845357898, + 444631761, + 806019884, + 966515261, + 595078722, + 891894535, + 975763086, + 810003810, + -1, + -1, + -1, + 845256998, + 155764960, + 534429500, + 703668726, + -1, + 580240050, + -1, + 519939573, + -1, + -1, + 621977306, + 939746291, + 147600076, + 743234282, + 615171084, + 764291035, + 534060097, + 533792742, + 850057638, + -1, + 213466001, + 37403311, + -1, + 287312632, + 518663723, + -1, + -1, + -1, + 141711101, + 529651946, + -1, + 120522700, + 779380422, + 635541575, + 194094554, + -1, + -1, + 983166040, + 353954990, + 170947723, + 222257701, + -1, + 756094953, + 954601816, + -1, + 38523069, + -1, + 97997947, + -1, + 976445138, + 141355924, + -1, + -1, + 377104771, + 839016939, + 821123414, + -1, + 516713382, + 94089491, + 571473859, + 771410296, + 497853169, + 955972393, + 218434102, + 669402189, + 420968664, + 356753179, + 565510066, + -1, + -1, + 666294807, + -1, + 495787980, + 914678346, + -1, + -1, + 649410725, + 274757204, + 729606936, + 559066277, + 395272510, + 833875, + -1, + 393816935, + 20293043, + -1, + 700976916, + -1, + 981914838, + 5404006, + 732255406, + 476979081, + -1, + 938113641, + -1, + -1, + 706240745, + 852369802, + 758623154, + 134008384, + -1, + 653956853, + 433815418, + 548166772, + 422179982, + 689664289, + 730604419, + 826643943, + 82138098, + 171303350, + 914747500, + -1, + -1, + 811489148, + -1, + -1, + -1, + 459887787, + 629005668, + 278123155, + 168406724, + 197429193, + -1, + 156750847, + 509165390, + 183729013, + -1, + 563793062, + 377557962, + -1, + 643262718, + -1, + -1, + 518475680, + 944396960, + -1, + 621916054, + -1, + 196641484, + 938953866, + -1, + 412836508, + 405949953, + 766302959, + 229939249, + 102162224, + -1, + -1, + 121455593, + -1, + 361313432, + -1, + 406472146, + 965259332, + 66508855, + 179081470, + -1, + -1, + 791015315, + 530438118, + 784852160, + 992648331, + 666321309, + 659378323, + 933357070, + -1, + 209692874, + 178386830, + -1, + -1, + -1, + 50355487, + 385167862, + 395984444, + 80594312, + 135634782, + 379720606, + 109195066, + 165930702, + 867467091, + -1, + -1, + 736988232, + 855093272, + 574127981, + 168997670, + 4763882, + -1, + 312491610, + 134198319, + 766572475, + 59782025, + 746169023, + -1, + 841756239, + -1, + 678017680, + 730073762, + -1, + 162599502, + -1, + -1, + 296707720, + 748789407, + -1, + 181044839, + -1, + 336189983, + 187586258, + 733724908, + 150384136, + -1, + -1, + 413999790, + 432489807, + -1, + 749938710, + 776469513, + -1, + 165152974, + -1, + 145984676, + -1, + -1, + 609949811, + 553342314, + 899476511, + 2183802, + 432729572, + -1, + -1, + 296864599, + 458692718, + -1, + 151643929, + -1, + 920667465, + -1, + 213494314, + 716126741, + 423548740, + 23524354, + -1, + 64521824, + -1, + 770823307, + -1, + -1, + 107040191, + -1, + 183295438, + 978341341, + 802948341, + 478585351, + 996297453, + -1, + 129905928, + 990031121, + -1, + 30073381, + -1, + -1, + 643688578, + 557385048, + 399810206, + 693330151, + 573115185, + -1, + 786258087, + -1, + -1, + 939944202, + -1, + 203751472, + 232390745, + 573382635, + 349519640, + 906034205, + 989589700, + 696116466, + -1, + 417878740, + -1, + 367232640, + 223632668, + 796926302, + -1, + 425393705, + 76763038, + 592273469, + -1, + 989549092, + 531062227, + 191393165, + -1, + -1, + 662543427, + 354410493, + 272943524, + 389949673, + -1, + 742433793, + 862244503, + 134175550, + 629272515, + 194525350, + 335053325, + -1, + 859362271, + 668436645, + -1, + 244761743, + 934941919, + 631027276, + 349190875, + -1, + 9200841, + 995804300, + 595757889, + -1, + 533022852, + 641765079, + 652998550, + -1, + -1, + 277441306, + 158711220, + 793566856, + 205315724, + 351880004, + 741904567, + 169811104, + -1, + 778672775, + 382233300, + 973098265, + 294380046, + 811291170, + 50447579, + -1, + 215228805, + 709412220, + 863224294, + 329966307, + -1, + -1, + -1, + -1, + 954758187, + 842948775, + 278954004, + -1, + 380228924, + 281266369, + -1, + 169433853, + -1, + -1, + 61052969, + 600747674, + 853450939, + 614205129, + 293472093, + 800700666, + -1, + 947071619, + 32681243, + 769609424, + 461321890, + 115815425, + 934943950, + 455014314, + 413747405, + -1, + 337746850, + 209594876, + 362680780, + 568869344, + 9041405, + 225223186, + -1, + 135693421, + -1, + -1, + 816647895, + -1, + 710465057, + 850780372, + -1, + 920910605, + 260483204, + 449984324, + -1, + 206301305, + 359484871, + 686752250, + 784748775, + 247714894, + -1, + 981584752, + 243976819, + -1, + 6929509, + -1, + 93316622, + -1, + 962132833, + 400980809, + 756519504, + 993998963, + -1, + -1, + -1, + -1, + 533065396, + -1, + -1, + -1, + 876864150, + -1, + 727617184, + -1, + -1, + 294276651, + 84735549, + -1, + 755976990, + -1, + -1, + -1, + 53920753, + 240747181, + 422787237, + -1, + 174235532, + -1, + 743748957, + 3409250, + -1, + 512100295, + 727815743, + -1, + -1, + 148949646, + 995399338, + 38543322, + 888541885, + 397974071, + -1, + 302292869, + 880541720, + -1, + 642377357, + 755531021, + 524990417, + 410429959, + -1, + 850933900, + 579679715, + -1, + -1, + -1, + 911223099, + 924702199, + 504148297, + 170908357, + 96889564, + 715610803, + -1, + 800282919, + -1, + 720810860, + 129400094, + 657901170, + -1, + 850511285, + -1, + -1, + 941790915, + 583673157, + 734304233, + -1, + -1, + -1, + 611815255, + 308146627, + 231851653, + 879099076, + 103390533, + 551932562, + 266157414, + 563666767, + 24138325, + 498056969, + -1, + -1, + 480856560, + 627273258, + 451757412, + 538152586, + 452513536, + 630542999, + 152177502, + -1, + -1, + -1, + 537597423, + 78210641, + 39895787, + 290244058, + 442728102, + 821345655, + 146566674, + 790096321, + 876851095, + -1, + -1, + -1, + 656731445, + 432421179, + 208471622, + -1, + 530485597, + 951073056, + -1, + -1, + 729105958, + -1, + 448101059, + 237459080, + 739543977, + 978523728, + 662204661, + 249664574, + 465486811, + -1, + 496520874, + 672036375, + 98902366, + 933581648, + 539314471, + -1, + 212354174, + 887037585, + 834203141, + 91520592, + 14090519, + -1, + 750597952, + 811339737, + 881985929, + 880648062, + 297262766, + 673144182, + 588318177, + 730058686, + 418660671, + 370180871, + 174684786, + 167929497, + 306768170, + 698286521, + 731865280, + -1, + 80631705, + 118471035, + 748064516, + 37280390, + -1, + 69362147, + -1, + 610638169, + -1, + -1, + -1, + 838520970, + -1, + 647314126, + 516560380, + 925340607, + 318204978, + 397966277, + -1, + 118090545, + -1, + 104235850, + -1, + 210404339, + -1, + 641028725, + -1, + 207006410, + -1, + -1, + 732618703, + 472892247, + 452095830, + 870093939, + 209566777, + 625029361, + -1, + -1, + 511869022, + -1, + 116504218, + 904533365, + 119368509, + 995226011, + 90542747, + -1, + -1, + 314251559, + -1, + -1, + 285623050, + 383411916, + -1, + -1, + 601469203, + 698930742, + -1, + 739530145, + 49358304, + -1, + 688097087, + -1, + -1, + 430803773, + 338967621, + 361377599, + -1, + -1, + 409986688, + 204382228, + 629381146, + 967290467, + -1, + 364641798, + -1, + 432368927, + -1, + -1, + 622808498, + -1, + -1, + 373384253, + 526886655, + 144073063, + 758774652, + 765234186, + -1, + -1, + 587195495, + 902874170, + -1, + 193191288, + 24867152, + 600394192, + 704631798, + 148116993, + -1, + 194235516, + -1, + 607519339, + -1, + 187392263, + 734353724, + 851113293, + 803352098, + -1, + -1, + 452531496, + 746104921, + 669668613, + -1, + 718066729, + 559650860, + 284262396, + 661017438, + 266366020, + 673257202, + 862168728, + 56898728, + 83292481, + -1, + -1, + 867281416, + 595836421, + 443111178, + 443233377, + 363801779, + 983663110, + -1, + -1, + 381673824, + -1, + 74230753, + 58828405, + 348852261, + -1, + 561437869, + 476466110, + 513649928, + -1, + 973101584, + 738980222, + 656950021, + -1, + 283282257, + 626628924, + 542044961, + 837814616, + 363149308, + -1, + 585392718, + 370944247, + 240873039, + 628014168, + -1, + 797411205, + 40796821, + -1, + 111955207, + -1, + -1, + 867940556, + 74654584, + 944463698, + -1, + -1, + 161736161, + 765768097, + -1, + 308975068, + -1, + 385565488, + -1, + 169589478, + -1, + -1, + 490080946, + 717457099, + 234546855, + -1, + 146377679, + -1, + 519365265, + 315812440, + 676506638, + 952186168, + 764626728, + 430779134, + 429905159, + -1, + 621242076, + 18786908, + 319099577, + 388547220, + -1, + 288457049, + 487316469, + 193870209, + -1, + -1, + 609093635, + 793758078, + -1, + 876302823, + 438630320, + -1, + 49260264, + 916083159, + -1, + 596699209, + -1, + 600288251, + -1, + 919799887, + -1, + -1, + 649218189, + 856299613, + 749350882, + -1, + 744912386, + -1, + 124776834, + 721779715, + -1, + 755556987, + -1, + 585167014, + 100612340, + 200385147, + -1, + -1, + -1, + -1, + 767292120, + -1, + 237636226, + -1, + 285887488, + 707523580, + 431320088, + 429440919, + 636796316, + 626311299, + -1, + 586217532, + 380577423, + 714526664, + 178111391, + -1, + 559285514, + 884157243, + -1, + 829740988, + 864708583, + 122975413, + -1, + 574671459, + 902176902, + -1, + -1, + 696311657, + 152065984, + 61519724, + -1, + 233622719, + -1, + 594900684, + 561725863, + -1, + 318946416, + 734813299, + 882847415, + -1, + 481366973, + -1, + 987800414, + -1, + 536639322, + 145805708, + 494752955, + 327066039, + -1, + 82445536, + 82079921, + 636629246, + -1, + 421098901, + 718095676, + 869807906, + 969468063, + 763484116, + 126386150, + 561888032, + 870314212, + 226023266, + 393813794, + 813043019, + -1, + 473521084, + -1, + 75592620, + 828898830, + 94030615, + -1, + 476837625, + 641343941, + -1, + 288871716, + -1, + -1, + 303983581, + 293368260, + 335744517, + 81805245, + -1, + 821546779, + 301880159, + -1, + 194016410, + 746314187, + -1, + 708943603, + -1, + -1, + -1, + 326993727, + 702311249, + -1, + -1, + 489274855, + 869658756, + 923952576, + -1, + 901053897, + -1, + 333642515, + 464455388, + 543885922, + 323859872, + 979465799, + 858902715, + 955234409, + 204808385, + 940523027, + 161324673, + 441610755, + 680754469, + 913171668, + 489041127, + 569755893, + 666256200, + -1, + 919832952, + -1, + 853812828, + 759502127, + 787534666, + 392593944, + 542343726, + 670159733, + 886951343, + 249130235, + -1, + 258926105, + -1, + 40089551, + 581608368, + 208047232, + -1, + -1, + 150483911, + 32280461, + -1, + -1, + -1, + 843431390, + -1, + 960759903, + 359041478, + 518980953, + -1, + 56145581, + 667483548, + 195342757, + 925907855, + 518282040, + 5175245, + 78104499, + 482905793, + -1, + 338340060, + -1, + 627008168, + 890165133, + 577844490, + 75616889, + -1, + 337526104, + 205374175, + 623490276, + -1, + 382287714, + 873299250, + 552561144, + 326125719, + -1, + 776932166, + 795167471, + 695661946, + -1, + 181382689, + 662544559, + -1, + 264459354, + 58640555, + 967865221, + 581604153, + -1, + 438351730, + 953695836, + 991537347, + 65441781, + -1, + 361467622, + 683647010, + -1, + 102688025, + 904695038, + 992068727, + -1, + 394743615, + 658533226, + 755020363, + 525113774, + 671789125, + 474674233, + 72786035, + 368742303, + 190908663, + 728055204, + -1, + 827027698, + 282413646, + 152539408, + 531966889, + 95132878, + 172577508, + -1, + -1, + 749652780, + -1, + -1, + 101066659, + -1, + 922139530, + 881551026, + 419967553, + 274430104, + -1, + 965007650, + 548017309, + 578105314, + -1, + -1, + 78766266, + 659886705, + 906809202, + 343874323, + 791863370, + 231667363, + 162812840, + 749255116, + 386131596, + 681804214, + -1, + -1, + 112981796, + 32246175, + 866878265, + -1, + -1, + 705943038, + 486593286, + 162636161, + 16298654, + 572457022, + 529125201, + -1, + 268431420, + 836308046, + 490828873, + 585916484, + 104168493, + 83475606, + 342677068, + 669160287, + 929430329, + -1, + 266372049, + -1, + 151830971, + 498792661, + 402981582, + 773802609, + 381351564, + 654661242, + 269449643, + 166063799, + -1, + 905014801, + 677907529, + -1, + 539117414, + 869433400, + 821987158, + 242488307, + 908391859, + -1, + 657608847, + -1, + -1, + 1249742, + 620760647, + 535342217, + -1, + 153884066, + -1, + 220822037, + 677253817, + -1, + 387104599, + -1, + -1, + 778900173, + -1, + 716350371, + 41549756, + 244520913, + 568952129, + 272473984, + 366239305, + 237439337, + -1, + 162875068, + -1, + 816753925, + -1, + 335288079, + 747161425, + 171816162, + 394303196, + -1, + 692267875, + 666777005, + 585989460, + 499122301, + -1, + -1, + 193949883, + 589407580, + 19095088, + 885552950, + 828073367, + 7072168, + 222264422, + -1, + 941009577, + -1, + 780663651, + 936127098, + 861614102, + 70995730, + 499591627, + 95812537, + 961286189, + 477137401, + -1, + -1, + 737168653, + -1, + 814341238, + 170295260, + -1, + 510583631, + 950359835, + 704062277, + -1, + 428627525, + 46193454, + -1, + 421587741, + 346847852, + -1, + 82853369, + -1, + 747857955, + 155930417, + 491478170, + 576793755, + 969276740, + -1, + 751310442, + 782785897, + 846548691, + -1, + -1, + 345607909, + 89287421, + -1, + 46152567, + 757567413, + 70410857, + 419720333, + -1, + 873486555, + 213072450, + 727691928, + -1, + 166993618, + 813464747, + -1, + 674938417, + 105077430, + 167528805, + -1, + -1, + 162704931, + 591744175, + -1, + -1, + -1, + -1, + 966130630, + -1, + -1, + -1, + -1, + 247782321, + 439406891, + 273946504, + 61111776, + -1, + -1, + 116260657, + 229210894, + -1, + -1, + -1, + 292283777, + 586199079, + 922333065, + 521491130, + 554813871, + 53966446, + 202254426, + 643176319, + 236490325, + -1, + 854747032, + -1, + 53994662, + -1, + 239978326, + 102233221, + -1, + 347697106, + 975392657, + 533445311, + 586625128, + -1, + -1, + -1, + 459490988, + 806861520, + -1, + -1, + 42564600, + -1, + 72959863, + 569167886, + -1, + 892815449, + 925273651, + 678056095, + -1, + 245973881, + 545905098, + -1, + -1, + 971398826, + 820690497, + 643566944, + 527795840, + 917605581, + -1, + 327581095, + 427075501, + 568297194, + -1, + 667352952, + 144568107, + 463742977, + 297173418, + 154621936, + 547219986, + 916966089, + 149361596, + 250750621, + 701310091, + 133126765, + 101997136, + 294982764, + -1, + 931795556, + -1, + 650356276, + 22948197, + -1, + 677560511, + -1, + -1, + 67667462, + 384863539, + 792843727, + -1, + 214011591, + 530796358, + -1, + 901294431, + 721556216, + 926098481, + 736843096, + 798759740, + 311157941, + -1, + 231760831, + 589113295, + 10127972, + 38996081, + 660273899, + 425528871, + 33311257, + 794710296, + -1, + 653390282, + 509310711, + -1, + 619809710, + 87987039, + 794392163, + -1, + 561306999, + 843204949, + -1, + 733823061, + 454243538, + -1, + 32579961, + 733437548, + 919493683, + -1, + -1, + 277450417, + -1, + 617707253, + 557434934, + 372584710, + 506619779, + 144292243, + 225839204, + -1, + -1, + 846353978, + 482841184, + -1, + -1, + -1, + -1, + 650616696, + 787836745, + 611118549, + 384620438, + 879124482, + 860833313, + -1, + -1, + 274180456, + 348507336, + 490050336, + 487570041, + 361848977, + -1, + 593869574, + 322984895, + 166827361, + 273167803, + -1, + -1, + 169019782, + 29141221, + -1, + -1, + 762058833, + 174006595, + -1, + 110101908, + 503065087, + 621481296, + 133237081, + -1, + 534894243, + -1, + -1, + 288604084, + 258842031, + -1, + 438969739, + 758628973, + 932519077, + 909984497, + 870241848, + 279117772, + -1, + 759581762, + 302736840, + 279219761, + 969112658, + -1, + -1, + 414695869, + 223867550, + 872092002, + 282883834, + 89817501, + -1, + 585621956, + -1, + 926559997, + 665762844, + 982228746, + -1, + -1, + 66654564, + 856517430, + 753653689, + -1, + 368606575, + 476630210, + -1, + 363371749, + 657187761, + 135726667, + 914990445, + 204052520, + 789942619, + -1, + -1, + 686465140, + 786023074, + 379409632, + 68130813, + 588883741, + 789177796, + 884432078, + 655347502, + 711166484, + -1, + 304593121, + 987449808, + 668683610, + -1, + -1, + 683635797, + -1, + 385747736, + 325181734, + 379995194, + -1, + -1, + 596181181, + 579968688, + 173469928, + 796209465, + -1, + 501739319, + 633058326, + 650753397, + 476881314, + -1, + 571010403, + 334415011, + 260116792, + 614964773, + 855565617, + 635451514, + 624026117, + 506562123, + 857442493, + -1, + 873005157, + -1, + 716847302, + -1, + 931822113, + 28325008, + -1, + 270504210, + 192151110, + -1, + 389147852, + 670531390, + 134222096, + 19824763, + 851261481, + -1, + 29525514, + -1, + 375877190, + 879216578, + 125758042, + -1, + -1, + -1, + 565403657, + -1, + -1, + 424082431, + 824683934, + 400138206, + 438087489, + 33743362, + 981645048, + -1, + 953807539, + 971646063, + 277416921, + 417535070, + -1, + -1, + -1, + 878650240, + -1, + 217512199, + 780895591, + 25961804, + 1622885, + -1, + -1, + 430865164, + 212780724, + 462694628, + 627357483, + 576361386, + 851494627, + 376786525, + -1, + -1, + 917096895, + 698208501, + -1, + -1, + 985219210, + 76836857, + 209530313, + 447890436, + 384972521, + 572429873, + 500520994, + 569323654, + -1, + 254864056, + 942937175, + -1, + -1, + -1, + 179448532, + 133338637, + 96835155, + -1, + -1, + 922517929, + 130337613, + 52667664, + 405567140, + -1, + -1, + -1, + 618873363, + 182152371, + 434879661, + -1, + -1, + -1, + 491698336, + -1, + 694571807, + -1, + -1, + 215451281, + 497484071, + -1, + 237954028, + 437627392, + 721736168, + 740612922, + -1, + 623534740, + 234825363, + 353506759, + -1, + 318871871, + 414781473, + -1, + 264896922, + 699956311, + 988161470, + -1, + 845559733, + 604288074, + 631412870, + -1, + 268538055, + -1, + 922326654, + 695432285, + 749137267, + 685309386, + 793801352, + 785853050, + 718470605, + -1, + 723212224, + 751131615, + 716109914, + -1, + 298976380, + 664793700, + 595210405, + 724846379, + -1, + -1, + 254131492, + 171865, + -1, + 448713838, + -1, + 198626868, + 555839282, + 871300119, + 96537210, + 467785200, + -1, + -1, + -1, + 315641114, + 507424338, + 77021148, + 545034754, + 651140577, + 257144964, + -1, + 525226288, + 319290012, + -1, + 460317523, + 765415845, + 766409874, + -1, + 777984762, + 111954126, + 167991946, + 642486676, + 806725548, + 843378967, + 503165291, + -1, + 202210967, + -1, + 248046367, + -1, + 382050383, + -1, + -1, + -1, + 860618151, + 999385471, + 305563837, + 637751972, + -1, + -1, + 733947585, + 766126477, + 714661378, + 284585933, + -1, + 399163444, + 430437422, + 706518422, + -1, + -1, + -1, + 321773713, + 327431139, + 854798377, + -1, + 443321172, + 629390956, + 817548587, + 365287832, + 260570278, + 671508658, + 872005069, + 40991987, + -1, + -1, + 141387269, + 319767766, + 215026851, + 932971876, + 978784044, + 839502670, + 64536107, + 296670745, + 390402354, + 606614804, + 824725791, + 221681653, + 726316678, + 908265368, + 797586770, + 591972968, + -1, + -1, + 286415411, + -1, + -1, + -1, + 790043943, + 523418325, + 639343217, + 582511002, + -1, + 945183369, + 188633158, + 382928798, + 236595809, + 174026011, + 214782147, + 734670776, + 292318620, + -1, + 518742403, + 462494840, + 81609080, + 906847699, + 497122792, + 839184464, + -1, + -1, + 477966938, + -1, + -1, + 258326290, + 438629434, + 519743094, + 682501132, + 521331535, + 949528896, + 612298368, + 555824221, + -1, + 434540361, + 128110060, + -1, + 525110326, + -1, + -1, + 522843306, + 922104219, + -1, + 956324636, + -1, + 170242478, + -1, + 225607274, + 753623165, + -1, + -1, + 874421858, + 888787577, + -1, + 775714720, + -1, + -1, + 276273389, + 734773707, + 764137995, + 402519941, + -1, + -1, + 613282950, + 889266594, + -1, + 26926766, + -1, + -1, + -1, + -1, + 300968957, + 537830079, + -1, + -1, + -1, + 309476201, + 731986580, + 204947349, + 972404807, + 992149377, + 565003823, + 284338839, + -1, + -1, + 579041831, + -1, + -1, + 288357470, + -1, + -1, + 801297632, + 480775640, + 32236775, + 355764345, + 934617171, + -1, + -1, + 86804137, + -1, + 565401474, + -1, + 30939829, + 180111874, + 680135287, + 624106818, + 88218675, + -1, + -1, + -1, + 456878171, + 213897629, + -1, + -1, + 293736359, + -1, + -1, + 358547446, + 119621171, + 584700151, + 483300987, + 993750050, + 83262960, + 202786001, + 232962016, + 313403573, + 53308790, + -1, + -1, + 890675134, + 192908175, + 611007001, + -1, + -1, + 637751612, + 686182997, + -1, + 486129570, + 249025013, + -1, + -1, + 607323678, + 796200858, + -1, + 371215343, + 479559742, + -1, + 960993882, + 253740985, + -1, + -1, + 732497788, + -1, + -1, + 688159530, + 451160010, + 103397129, + -1, + -1, + 84814451, + 116861591, + 734052183, + 210026241, + 601397995, + 429053870, + 827602984, + 317194309, + 229221167, + 126789012, + -1, + 852033630, + 682139449, + -1, + -1, + 400149329, + 600178799, + -1, + 603956350, + 59406239, + 289149569, + 998015874, + -1, + -1, + -1, + 746498375, + 743165843, + 985375443, + 683271018, + -1, + 789992041, + 574698961, + 310044068, + 705706044, + 35290488, + 995648008, + 368993397, + -1, + -1, + 562781535, + 330229131, + -1, + 658744717, + 690400009, + 212170428, + 669018538, + 265297488, + 70920258, + 695335702, + 396791049, + 897619378, + 465611712, + 975754528, + 296245448, + -1, + 547208304, + -1, + 239590360, + -1, + -1, + -1, + -1, + 628822648, + 187200815, + 23552355, + 836086279, + 479969376, + 761490360, + -1, + 417470838, + 284284302, + 112057261, + -1, + 809484017, + 692210115, + 26128806, + 607639368, + 251449472, + 369817016, + 356547747, + -1, + 162907988, + 532494780, + 516311261, + 812578632, + 804821291, + -1, + 290167344, + -1, + 613491263, + 66994035, + 413177307, + 405953690, + 961328655, + 703146454, + -1, + 165124628, + 241865857, + 183269239, + -1, + -1, + 35841313, + 637633567, + 121270243, + 398813798, + -1, + -1, + 842450152, + 648212906, + -1, + 452746757, + 552969098, + 226577998, + 898836068, + 310328361, + 80269877, + 5816632, + -1, + 425175156, + 290271282, + -1, + 219877031, + -1, + 992612860, + -1, + 665034185, + 467970758, + 255385177, + -1, + 989212381, + 754826524, + 870802756, + 398909809, + -1, + 892528951, + 538529750, + -1, + -1, + -1, + 278037220, + 883578111, + 765403700, + 38817110, + 314125680, + 529636520, + 475221458, + -1, + 349783701, + 772992343, + -1, + -1, + 210190623, + 576571927, + -1, + 646016851, + 833922922, + 85346205, + 1142968, + -1, + 899122993, + -1, + -1, + 650903032, + 682250875, + 639441478, + 271132948, + 108262435, + 948429649, + 178453025, + 715327925, + -1, + 665557738, + -1, + 263780688, + 445809654, + 167371194, + -1, + 186087510, + 250787281, + 851310038, + 369376788, + 621366954, + 523641693, + 673550617, + -1, + 885224367, + -1, + 910978969, + 772540310, + 995637420, + 303566872, + 322207106, + -1, + 374066111, + 784794297, + 344414253, + -1, + 873236726, + 933732251, + -1, + -1, + 58840888, + 755642991, + 354955639, + 950252055, + 255131987, + -1, + -1, + 761832739, + 13182381, + -1, + 205333929, + -1, + -1, + 33559181, + 936790426, + -1, + 772207403, + 18321234, + -1, + 739970796, + 439132282, + 435128382, + 516397778, + 672793822, + 984964584, + -1, + -1, + 293307143, + -1, + -1, + 869083534, + 974280959, + -1, + 700570902, + 591355018, + -1, + 462323147, + 992276244, + -1, + -1, + -1, + 161503264, + 121101936, + 393509404, + 113660855, + 755504506, + 128307964, + 708574533, + 27536915, + -1, + 321270115, + -1, + 123014432, + 393074635, + 541490225, + -1, + 217484259, + 549996887, + 4721628, + -1, + 721059743, + 219406527, + 204687554, + -1, + -1, + 352051348, + 884748329, + -1, + 348012994, + 781981149, + 834476813, + 833733199, + -1, + 438496323, + -1, + 874665419, + -1, + 543159952, + -1, + -1, + 774534470, + -1, + 429124994, + 647635805, + -1, + -1, + 486630451, + 7237582, + 381370365, + 689415658, + 15699977, + -1, + 98912, + 994412359, + 214410775, + 853062562, + 477258908, + 676348893, + -1, + 251183862, + 970489204, + -1, + 640002110, + 327494989, + 261209732, + -1, + 279349530, + -1, + 166784342, + 418598044, + 181464953, + 106760835, + -1, + -1, + -1, + 384950141, + 739608900, + -1, + -1, + -1, + 883195949, + 624185155, + 562449883, + 286191174, + 254021731, + -1, + 154701818, + 755170858, + 995446398, + -1, + -1, + 245541122, + 58405997, + 374969527, + 662831664, + 762137525, + 769802732, + -1, + 252224128, + 835010821, + 429077329, + 602696559, + -1, + 270701513, + 615556300, + 425070936, + 847155482, + 422797744, + -1, + 309939050, + 394421635, + 332633262, + 100571302, + 302939398, + 470856345, + 860656114, + -1, + 555632157, + -1, + 45148517, + 271247456, + 118032356, + 772998807, + 204717794, + 320869283, + 366661053, + 529218936, + 406342693, + 13108032, + 700353088, + -1, + 953860788, + -1, + 520430773, + 960479656, + -1, + -1, + 128367381, + 201848888, + 897916239, + 542486986, + 334182645, + 728918788, + -1, + -1, + 620483431, + 578862770, + -1, + -1, + 634033951, + 384910900, + 663465877 + ], + "output": 994313447 + }, + { + "input": [ + 19705162, + 978315258, + 681412196, + 796339631, + 910006879, + 610054520, + 646881330, + 996060264, + 14516640, + 653539170, + -1, + -1, + 814043832, + 434805051, + 727817308, + 771688379, + 837579598, + 280321219, + 542338790, + 315779327, + 742647586, + 914355330, + -1, + -1, + 505312403, + -1, + 208878885, + -1, + 823720052, + -1, + 568897036, + 131189110, + -1, + 327425120, + 894236587, + 959157133, + 86000194, + 833382354, + 434822518, + 277503152, + 163884446, + 150336342, + 352774822, + 49235388, + -1, + -1, + 200029141, + 345751397, + 128782935, + 657617560, + -1, + 452111817, + 744251792, + 693143517, + -1, + 730132181, + 986449000, + 531731757, + -1, + -1, + -1, + 802817437, + 37077705, + 671697399, + -1, + 811897802, + 131173817, + 386923395, + -1, + -1, + 989655375, + -1, + -1, + -1, + -1, + 842339765, + 441690429, + 195718986, + -1, + 345384754, + 890391841, + 488483515, + 361103133, + 478930957, + 743872720, + -1, + -1, + 682944318, + 28081480, + 142685777, + 837309080, + 758842875, + -1, + 472813125, + 985484029, + 394460130, + 852927605, + 640332836, + 425086565, + 643357746, + 194210816, + -1, + 797972291, + 635574728, + -1, + 795318937, + 591799821, + -1, + -1, + -1, + 242810527, + 108525526, + 703129455, + 330761470, + 255282513, + -1, + 562783124, + 2955360, + -1, + -1, + 38631420, + 84837397, + 3717924, + 151077948, + 399505014, + 252335942, + -1, + 118004561, + -1, + 515751299, + -1, + 448238252, + 5261404, + -1, + 163961637, + 35826879, + 741138610, + 387440008, + 38563524, + 109181227, + -1, + -1, + 5559595, + 34720676, + 980840203, + 43564490, + 46926659, + 166903961, + -1, + 790690223, + -1, + 894664776, + 750786156, + 909892879, + 566690544, + -1, + 608138846, + -1, + -1, + 135751019, + 114644941, + 588184098, + 347313748, + 894318989, + 601594802, + 589675171, + 414528186, + 883830314, + 487535088, + 540246, + -1, + 612249900, + 187053211, + 654944948, + 967459365, + 636522387, + -1, + 861815372, + 957014353, + 206577759, + -1, + 373345129, + 787031711, + -1, + 8385032, + 720699280, + 920448211, + -1, + 488129838, + 269551479, + 656986582, + 884698170, + 253458095, + 557717685, + 149921459, + -1, + 304737800, + 407029277, + -1, + 947309890, + 516506677, + 497104048, + 966590096, + 978681142, + 667611237, + 393890247, + 39414728, + -1, + 951938879, + -1, + 968710556, + -1, + 954193892, + 909646505, + 412361070, + 122023302, + 553735666, + -1, + 477975571, + 975721923, + 701800166, + 38251432, + 773740478, + 703957907, + -1, + 381719889, + 534984695, + 19966173, + 450454058, + 77896505, + 405303845, + 749750730, + 92538181, + 667524631, + 342693684, + 433062051, + 479064771, + 336109216, + 449860028, + 261126136, + -1, + 333602993, + -1, + 366621156, + 974428544, + 89544279, + 240716231, + 167747483, + -1, + 165300295, + 649483658, + 708507366, + 502213425, + -1, + -1, + -1, + 607809149, + 415033310, + 72643656, + -1, + 40358697, + -1, + -1, + -1, + 301205031, + 556420928, + -1, + 671549543, + 986377063, + -1, + 378450234, + -1, + 605562161, + 36809691, + -1, + 72128388, + 760224688, + -1, + 487306061, + 636311123, + 434959845, + -1, + 354241306, + -1, + -1, + 810476617, + 847358624, + 521132031, + 460888718, + 210789165, + 499308961, + 305454636, + 363755409, + 913208224, + -1, + 389154172, + 749519961, + 631194468, + 598817974, + -1, + -1, + 315574400, + 905703149, + 732023914, + -1, + 713561319, + -1, + 565582225, + 50596363, + 150722671, + 481063821, + 152372389, + 265196672, + -1, + -1, + 152726456, + 415048143, + -1, + 17564609, + 446349234, + 390561866, + 209395568, + 839750156, + 841454109, + 579973990, + 899347986, + -1, + -1, + 911396027, + 241511121, + -1, + 452980092, + -1, + 623807803, + 178836576, + -1, + 203930867, + -1, + 439795036, + -1, + 484019706, + 501006780, + 873134798, + -1, + 771171284, + 150799301, + 409049924, + 558428596, + 376304622, + 980208953, + -1, + -1, + 231258720, + 972806869, + -1, + 15430318, + 123575232, + 6803917, + 400091796, + -1, + -1, + 667167069, + 487721663, + 123063818, + 929017392, + 646189406, + 882458313, + 791154829, + -1, + -1, + 740532140, + -1, + 475055286, + 912435816, + 330676200, + -1, + -1, + 756388714, + 166097074, + 435684087, + 823232877, + 331189646, + -1, + 899529403, + -1, + -1, + -1, + 892326013, + 214271494, + 358800090, + 791703546, + 409615302, + 796271455, + 190473146, + -1, + 892672034, + -1, + -1, + -1, + 249695387, + 530231449, + 740635308, + -1, + -1, + 323420079, + 157892469, + -1, + 110094286, + 10101300, + -1, + 411390602, + -1, + 40071757, + -1, + -1, + 157879669, + 597607191, + 995994567, + -1, + -1, + 429747959, + 690917544, + 266815959, + -1, + 338007395, + 960120531, + -1, + 155889861, + 54048599, + 550580240, + -1, + 548199967, + -1, + 996059670, + 472607885, + 534234739, + 816477840, + 492077484, + 788067243, + 63425, + 579189437, + 633709329, + -1, + 715862761, + 716398840, + 92938093, + 602321124, + 977760849, + 223295761, + -1, + 960532818, + 735981812, + -1, + 941953057, + 895903398, + 586266550, + -1, + 250400863, + -1, + 181452834, + 391948867, + 643136020, + -1, + 507880771, + 858487739, + 832556516, + 541333386, + 349987591, + -1, + 196817571, + -1, + -1, + 650656962, + 324372243, + -1, + 560407818, + 80845745, + 723760420, + -1, + 103075725, + -1, + -1, + 841506059, + 133084587, + -1, + 478222047, + 863444877, + -1, + -1, + -1, + 693948682, + -1, + 556507345, + 867322250, + 558702732, + 25235102, + 46811031, + 59470101, + -1, + 678976410, + 177099205, + 760980640, + 5164227, + -1, + -1, + 720893183, + 49689581, + 823148115, + 468814406, + 377629318, + 117863126, + 555576102, + 816462595, + 553166328, + 278929542, + 762931997, + 192099924, + 440526219, + 479422152, + 569257384, + 711570372, + 801824936, + -1, + 42412672, + 1123646, + 922397939, + -1, + 644262621, + -1, + 111407630, + 945017725, + 81997611, + 94268670, + 740635413, + 600488191, + 679009455, + -1, + 204783346, + 139262395, + 518013226, + 131379639, + 330033750, + -1, + -1, + -1, + -1, + 545729458, + 177599370, + 293948551, + -1, + 833908526, + 491888628, + 117582124, + 993467610, + -1, + -1, + -1, + -1, + 997333766, + 847031761, + 134679440, + 76669517, + 356134158, + 310980491, + 319023169, + 662425639, + 513599008, + -1, + 319275653, + 377451096, + 616259690, + 36014514, + 277691555, + -1, + 156599069, + 593490432, + 142092634, + -1, + 758014318, + -1, + -1, + 197324381, + 441077386, + -1, + -1, + 799425867, + 294097190, + 254018202, + 879002964, + 758220294, + 476414045, + -1, + 923165797, + 907826015, + 831071599, + -1, + 436046335, + -1, + 777332415, + -1, + -1, + 426859585, + -1, + 193717875, + -1, + 808411673, + 411145529, + -1, + 984321558, + -1, + 413422721, + 386772464, + 731134718, + -1, + 872857309, + 395721506, + -1, + 220141604, + -1, + -1, + 258570118, + 406043392, + -1, + 390133771, + -1, + 83496142, + 701742656, + 446336870, + 703508840, + 936477513, + 132450714, + -1, + -1, + -1, + 670255460, + 236888370, + -1, + -1, + 739255345, + 154753233, + 699365251, + -1, + 230975719, + -1, + -1, + 477961216, + -1, + -1, + 368510507, + 317411904, + 318842286, + 459585543, + -1, + 700903229, + 563812953, + 50841606, + 656791129, + 710160748, + 754883235, + 132823386, + 195208562, + 743452022, + 671344030, + 161863314, + -1, + 842851637, + 229265049, + -1, + 388136150, + 775489206, + 619581593, + 269909601, + 1331195, + -1, + -1, + 921921159, + -1, + 410417913, + 160392237, + 280688394, + -1, + 41843836, + -1, + 340937803, + -1, + 268219401, + 16258913, + 343614420, + 667368853, + 524148142, + 848074559, + 946853768, + 891074077, + 501011430, + 478887185, + 530922692, + 866624393, + -1, + 320461155, + 425418553, + -1, + 734809378, + -1, + -1, + -1, + 518271819, + 642230996, + 993503757, + -1, + 435988275, + 292371592, + -1, + 856039424, + 169414747, + 398539720, + -1, + 31251059, + 584374738, + 564835438, + 606310210, + 102017052, + 426297838, + 699740532, + 339277509, + 764472611, + 542247868, + -1, + 575915178, + 497855510, + 592723759, + 113593561, + -1, + 36902057, + -1, + 129098555, + 713535835, + 251264431, + 207639601, + -1, + 757649957, + -1, + 851272125, + -1, + 135451950, + -1, + 270443171, + 327133863, + -1, + 653072440, + 473207618, + 651600280, + 691932678, + 141187929, + 696688252, + -1, + 49723051, + 722709149, + -1, + -1, + 202922345, + 873271427, + -1, + -1, + 36639085, + 683443160, + 83099885, + 543985834, + 615167734, + 832812086, + 7797532, + 39856916, + 747146330, + -1, + -1, + -1, + -1, + 593377405, + 820565652, + -1, + 451705725, + -1, + 858136614, + -1, + 606492238, + 616897758, + -1, + -1, + -1, + 383077348, + 571356456, + -1, + 354151607, + 636375628, + 583510195, + 78994640, + 420494598, + -1, + 994366270, + 986924953, + -1, + 160296138, + 799173616, + 888176848, + 36523579, + -1, + 46992328, + 797459224, + 356181689, + -1, + -1, + -1, + 47487881, + 223388755, + 635824862, + 361299851, + 367446754, + -1, + -1, + 780955510, + 106954864, + 422418832, + 981736062, + -1, + 395506218, + -1, + 777119217, + -1, + 320899322, + -1, + 242506055, + 768471468, + 131223662, + 523970455, + 521215003, + -1, + -1, + 307899408, + 990660387, + 891189834, + 562550904, + 24378563, + 938903294, + -1, + 802471416, + 605970643, + 263490468, + 539387075, + -1, + -1, + -1, + 370121446, + 479462529, + 471273021, + 647387359, + 957202857, + 986520052, + 538891956, + 948127123, + -1, + 260231434, + 61789089, + 352476870, + 51873971, + 913375599, + -1, + 918174343, + 302711169, + 645906796, + 403066422, + -1, + 768618665, + -1, + 537514118, + 700465284, + -1, + 233248385, + 57292723, + -1, + -1, + 349839250, + 53130418, + 799788538, + 190268554, + 453980051, + 965971867, + 179056507, + -1, + 344180212, + 546882891, + -1, + -1, + 624290742, + 219069754, + 959973033, + 413775369, + -1, + 396707066, + -1, + 834242807, + -1, + 349131602, + 891703951, + -1, + -1, + -1, + -1, + 342320943, + -1, + -1, + -1, + -1, + 257437610, + 110216242, + -1, + 912486916, + 293264769, + 979090754, + 130991541, + 158519833, + 724068782, + -1, + 853323417, + 966725575, + 36195208, + 274011345, + -1, + 498953252, + 226037799, + 736724190, + 53723768, + -1, + -1, + -1, + 165249992, + -1, + 840348404, + 697307140, + 433278733, + 569469757, + 339548215, + 158214408, + 301853832, + 859867411, + 597996472, + 693997489, + 27006202, + 947685810, + -1, + 194181161, + 749669458, + 589357107, + 848982760, + 186931065, + 636906136, + -1, + 634836246, + 917756424, + 601872533, + 748938445, + 811365992, + 638301100, + -1, + -1, + 255797230, + 512113054, + 965752202, + -1, + 581443272, + 484204849, + 519811599, + 861950160, + 502821170, + 961342774, + 581531460, + -1, + 131764821, + 708736982, + -1, + -1, + 884012448, + 341415751, + 631645012, + 585321583, + 390448367, + 733142369, + 281180710, + 739352925, + -1, + 375977207, + 271738336, + 935453196, + -1, + 734181110, + 290145392, + -1, + 787008732, + 902530583, + 654026725, + 522818514, + -1, + 450863900, + 595620059, + 547153245, + 365917304, + 12891558, + 445370918, + -1, + 2913491, + 173225355, + -1, + 592671236, + 476895453, + 210311572, + 183873223, + 19180432, + 469589230, + 920034411, + 302881152, + -1, + 328091922, + 538562411, + 695091697, + -1, + 566997115, + -1, + -1, + -1, + -1, + -1, + 284273141, + 41394734, + -1, + 784974307, + 900077489, + 386481857, + -1, + 972661542, + -1, + 210565038, + 18378606, + -1, + 78802452, + 157611801, + 786236945, + 498201519, + 400500720, + 5552783, + -1, + -1, + 646078811, + 615002412, + -1, + 199121523, + -1, + 141928894, + 568409777, + 167195056, + -1, + 301235294, + -1, + 904800937, + 354949624, + 609167894, + 661075971, + 170449751, + -1, + 435185426, + 813571240, + 53470201, + 727829911, + -1, + -1, + 913509977, + -1, + 288032523, + 799033199, + 703022884, + 263430016, + 768919801, + 972724626, + -1, + 17870628, + 330225440, + 49288208, + 267026730, + -1, + 647575062, + 201740808, + 879242309, + 760331205, + 153429261, + -1, + 666023798, + 859127856, + 839995356, + -1, + 490044827, + 371961975, + 870799881, + -1, + -1, + 330962963, + 827246501, + -1, + 47513719, + 132823509, + 797449461, + 265172390, + 338076199, + -1, + 116345235, + 441956686, + 651208080, + 121758165, + 344158303, + 733062570, + 270843455, + 92717399, + 783858599, + -1, + 284960945, + -1, + 617072185, + 631361444, + 556176399, + 859126256, + 685252804, + -1, + 823792762, + -1, + -1, + -1, + 450260487, + -1, + 384054788, + 394157489, + 416069464, + -1, + 940571036, + 165971771, + -1, + 964188728, + 458750628, + 521238405, + 726902227, + 611990853, + -1, + 710612926, + 380258456, + -1, + 358426525, + -1, + -1, + 489517146, + 214695836, + -1, + 63363728, + 539691260, + -1, + -1, + -1, + 641069274, + 452622178, + 533399383, + 235811935, + 624207709, + -1, + 243832250, + 332958124, + 446544912, + 138090476, + -1, + 291177485, + 697431884, + 258969124, + 211217632, + 160568039, + 80770599, + 942336130, + 737194257, + 620201131, + 570916718, + -1, + -1, + 141619376, + 971696855, + 505322280, + 972072683, + 397571498, + 510614674, + 693066431, + 305514778, + -1, + 9636447, + 794960863, + 926283840, + 876675363, + -1, + -1, + 697054846, + -1, + 588040669, + 350698275, + -1, + 412061005, + 653246460, + 829114216, + 666219253, + -1, + 956100164, + 652141027, + 397067886, + 970299936, + 913634283, + 943167813, + -1, + 28957173, + -1, + 351615946, + 327106968, + 430919066, + 557753594, + 922556636, + 787546662, + -1, + -1, + 325862994, + 51723852, + 46011084, + 929290993, + 829017936, + 549672425, + 555598681, + -1, + 14977697, + -1, + 827699807, + 476223160, + -1, + 402839455, + 769812828, + 483354165, + 817690857, + 529665014, + -1, + -1, + -1, + 171104397, + -1, + -1, + 675807473, + -1, + -1, + 241916622, + -1, + 838131238, + 624569944, + 920770587, + 737095959, + 276424216, + -1, + -1, + 188356940, + 301839091, + -1, + -1, + 429028428, + 700734991, + 886317823, + 735636910, + 74931452, + 824907529, + 206490237, + 510055695, + 832843644, + -1, + -1, + 872986762, + -1, + 278131134, + -1, + -1, + 415404774, + 524877195, + 216462871, + 182789635, + -1, + 203766795, + 361212851, + -1, + 850582509, + 592375198, + 811810101, + 953026415, + 222886297, + 446245295, + -1, + 708870491, + 682375256, + -1, + -1, + -1, + 828347515, + -1, + 942910306, + 544592204, + -1, + 819540490, + 720992391, + -1, + 697624282, + 480347713, + 194709432, + 57409499, + 45300729, + 63838816, + 882920931, + 869853332, + 209282545, + 524492117, + -1, + 102729389, + 178263938, + 493076827, + 417043534, + 215301584, + 635574425, + 292032019, + 630503826, + 435793902, + -1, + -1, + 528988135, + 375958853, + 720140957, + 805381778, + -1, + 628200169, + 696764488, + 706335557, + 802599000, + 880078352, + -1, + 32261588, + -1, + 751742537, + -1, + 388709289, + 122577894, + 539247774, + 928652221, + 540751623, + -1, + 973717587, + 678102352, + -1, + 359191601, + 11363354, + 260409830, + 875870639, + -1, + 781331629, + 211000704, + 901059332, + 24931126, + 597311053, + -1, + 487041918, + -1, + 741741151, + 155301792, + -1, + 190132070, + 123712397, + 133955142, + -1, + 268776682, + 972008327, + 837767786, + 464940618, + -1, + -1, + -1, + -1, + 775971766, + 268315376, + 731132458, + -1, + 24413199, + -1, + 397787794, + 66707386, + 445874829, + 909115229, + 237154874, + 249426786, + 318693877, + 840684114, + 234925905, + 949437766, + 504955278, + 810916873, + -1, + 699030325, + -1, + 834070768, + 174383608, + -1, + 675204113, + 956405121, + 503322424, + 442290264, + 694639937, + -1, + 482030805, + 323675306, + 766567126, + 452521746, + -1, + -1, + 81574413, + 217840476, + 756792647, + 389165811, + -1, + 841080259, + 866948348, + 301762507, + 232196092, + 704611864, + 316203669, + 674438070, + -1, + 292844977, + 334780624, + 283341677, + 682091064, + -1, + 653354643, + -1, + 124725677, + -1, + 141025516, + 161255140, + 728873455, + 747799133, + -1, + -1, + -1, + 852706256, + 684932432, + 947053724, + 804555439, + 9130574, + -1, + -1, + 771414080, + 916130950, + -1, + -1, + 974898891, + -1, + 233471135, + 973335667, + 360615987, + 617218175, + 104656255, + 153325019, + 234984364, + 817586463, + -1, + 652359961, + 973918843, + 120978125, + 362100980, + 342246780, + 931130398, + 231275619, + 790895938, + -1, + -1, + -1, + 318481626, + 152921451, + -1, + 260520646, + 910560344, + 3177638, + 322272527, + -1, + 974751383, + 830987761, + -1, + 776717116, + 241655542, + 65309910, + 189417107, + 929987068, + 536425533, + -1, + 451731479, + -1, + 391792944, + 924944805, + 379186888, + 233684692, + -1, + 922560166, + 358511002, + 79421556, + 814984656, + 582412266, + 742778813, + -1, + 528815289, + -1, + 603860632, + -1, + 178738472, + -1, + -1, + 958692522, + -1, + 689474991, + 399117825, + 164254065, + 760190745, + -1, + 420123514, + 586198131, + -1, + 314468917, + 854565391, + 363951258, + 362795887, + 363928107, + 774238835, + 749074036, + 707680778, + -1, + -1, + 256884383, + -1, + 6385047, + 366878590, + 136873720, + -1, + 513196264, + 952850681, + 81171162, + 599214684, + 865074065, + 93911670, + 478026993, + -1, + 694637721, + -1, + 817908105, + 54493804, + -1, + 730227716, + -1, + -1, + -1, + 717960202, + 217269760, + -1, + -1, + 703951777, + -1, + 948926798, + 140049798, + 409161102, + 582168485, + -1, + -1, + 346770773, + 444680537, + 591600657, + 718592488, + 100924179, + 46534054, + 765824148, + -1, + 869257576, + 112943094, + 317748492, + 133832189, + 21315826, + 135970704, + -1, + 153644027, + 61461535, + 609310130, + 859541019, + -1, + 202952975, + -1, + 529366962, + 622858974, + 852081423, + 748407097, + 892317425, + -1, + -1, + 613583808, + -1, + 2441252, + 922956224, + 432481392, + 698330038, + 543130965, + -1, + 90350190, + 597929433, + 361173918, + 700970399, + 81177604, + 253484956, + -1, + -1, + 841339139, + -1, + 74600802, + 852020196, + -1, + 855425636, + -1, + 351956118, + 79400997, + 735342274, + -1, + 245688718, + 821119783, + 189546308, + 569281291, + -1, + 131050942, + -1, + 462385567, + 761639521, + 797550386, + 66557156, + -1, + -1, + 883869268, + -1, + -1, + 808279582, + 644584077, + 137806277, + 211738608, + 506414800, + 346843495, + 587337045, + -1, + -1, + 269627341, + 917725262, + 169528767, + 791423895, + 221833344, + 571014548, + 753495456, + 432275917, + -1, + -1, + -1, + -1, + 197792823, + 981070122, + 44248630, + -1, + 308759906, + -1, + 216349206, + 373479036, + -1, + 730669408, + -1, + 291071111, + 751590089, + 129685718, + 719024518, + 111737218, + -1, + -1, + 269533774, + 576273817, + -1, + 291021696, + -1, + -1, + 522707394, + 690082346, + 472078114, + 226739264, + 675753151, + 427718236, + 715950889, + 998591241, + 279022430, + 341277237, + 830837483, + 373312870, + 470743409, + -1, + 921934421, + 136327574, + 539957951, + -1, + -1, + -1, + 327760164, + -1, + 151395487, + -1, + -1, + 507181376, + -1, + 425129073, + -1, + 791496949, + 100383880, + 410196786, + 638776064, + -1, + 408450313, + -1, + 362957976, + -1, + 95321251, + 803681290, + -1, + 9867961, + -1, + -1, + 803562473, + -1, + 494657244, + 824560420, + 259459340, + 884005106, + 319832019, + -1, + 774538344, + 916089106, + 159106117, + 277808946, + -1, + -1, + -1, + 322230295, + -1, + 74900676, + -1, + 124649472, + 71755717, + 927150586, + 362076845, + 684885677, + 134276292, + -1, + 854603583, + 405547484, + 590802582, + -1, + -1, + 502001081, + -1, + 667502871, + 439167615, + 972303998, + -1, + -1, + -1, + 359571671, + 722500208, + -1, + 918715773, + 510884139, + 971503186, + 279126270, + -1, + -1, + -1, + 169514224, + 748331485, + 294711048, + 675720261, + -1, + -1, + 265714918, + -1, + -1, + -1, + -1, + -1, + 34657578, + 892699732, + 894721699, + -1, + -1, + -1, + 266753150, + 993660728, + -1, + -1, + -1, + 609872620, + 394008787, + -1, + 553165851, + 300410161, + 659071969, + 173260062, + 199252613, + 681585252, + -1, + 668029891, + 556773446, + -1, + 934805294, + 340294878, + 260516861, + -1, + 999392004, + 472186922, + -1, + 750566867, + -1, + -1, + 591560664, + -1, + -1, + -1, + -1, + 712473187, + 841084255, + 970604126, + 1938975, + 800730989, + -1, + 891859746, + 553417178, + 38764657, + 920459511, + -1, + -1, + -1, + 336070363, + 969562929, + 422775270, + 938289102, + -1, + -1, + 913441208, + 77637913, + 322889732, + 872600456, + 648903280, + 678220855, + -1, + 99335909, + -1, + 391753174, + -1, + -1, + 939288624, + -1, + 159920356, + 6545293, + -1, + -1, + -1, + -1, + 754702369, + 775976132, + 188527961, + -1, + 988288781, + -1, + 590502714, + -1, + 920772612, + 294366694, + 302265161, + 523577214, + 619153438, + -1, + 462190499, + 688205609, + 835008677, + -1, + 146289112, + 528470547, + 938741663, + -1, + -1, + 869037613, + 628069821, + -1, + 827237371, + -1, + 762643804, + 46288586, + -1, + 463749443, + 173244185, + -1, + 946933795, + -1, + 543695603, + 427593014, + 74112515, + -1, + 255578209, + -1, + 249573853, + 913947051, + 331955523, + 370769388, + 325457353, + 742801095, + 443905631, + -1, + 762815825, + -1, + 567367809, + 268025809, + 450959672, + 324489717, + 469513024, + 690268729, + 987418322, + 706112596, + 408486585, + 362068101, + 112664605, + 401741579, + -1, + -1, + -1, + -1, + 769702504, + 485670191, + 567181350, + 621384401, + -1, + 987680840, + 189079886, + 430690461, + 56289812, + 260639607, + -1, + 646255928, + -1, + 223759837, + 859884491, + 292668833, + 921460733, + 101388975, + 752785871, + 46499217, + -1, + 482956687, + 857844665, + 117026594, + 827059835, + 704749169, + 751435229, + -1, + -1, + 661870817, + 972056140, + 607528339, + 572180919, + 693046399, + -1, + -1, + -1, + 226942414, + -1, + 304530923, + 140258565, + 208314314, + 991330041, + 100462950, + 594989020, + 507372085, + 414160632, + 543523608, + -1, + -1, + -1, + 324955022, + 823281617, + 136740270, + 878227266, + 78505758, + 997548770, + -1, + 547771915, + 149384057, + 139152219, + 169606247, + 488742587, + -1, + 286244950, + 33250273, + -1, + 961723614, + 876187178, + 709684893, + -1, + 290681144, + 726378765, + 813540172, + -1, + 840472543, + 617759593, + 574686946, + 5307564, + 477665250, + 840900480, + 593987622, + 109694738, + 83304701, + 673234451, + 215315019, + -1, + 833325487, + -1, + 667918049, + 350096049, + 39919749, + -1, + 74705630, + -1, + 664192627, + 115076797, + -1, + 623524677, + -1, + 81641719, + 576370775, + -1, + -1, + 273031643, + 460124262, + -1, + 155290306, + 2173687, + -1, + 933863218, + -1, + 762356428, + 835355114, + -1, + 955847348, + 445450277, + -1, + -1, + -1, + 678872110, + 132499377, + 14685508, + -1, + 582000412, + 330461559, + 973294765, + 425130075, + -1, + -1, + 559545938, + 291405942, + 254502537, + 907143008, + 949052252, + 964208476, + -1, + 216395182, + 340624199, + 826189060, + -1, + 158132587, + -1, + -1, + -1, + 781393051, + -1, + 448026210, + 109787935, + 349419432, + -1, + -1, + 470319200, + 791206944, + -1, + -1, + 16230185, + 841133590, + 530635803, + 660813633, + 194824291, + 641483790, + -1, + -1, + -1, + 595534444, + 496327613, + 914713839, + 929156424, + 805336407, + 206006271, + 583917571, + 885822671, + 401036700, + 499627177, + 927471718, + -1, + -1, + 163030962, + 116114321, + 383450640, + -1, + -1, + 879528106, + 718628378, + 731388595, + 928453464, + 491689676, + -1, + -1, + 661568017, + 857151059, + 237753273, + 238840152, + 671084815, + 118333835, + -1, + -1, + 721837482, + 715265373, + 664997636, + -1, + 491006289, + 776190066, + 653960522, + 324257957, + -1, + 540151050, + 500627599, + -1, + 472972244, + -1, + 192701703, + 264217284, + -1, + 42659000, + 577365202, + -1, + -1, + 54546529, + 691498403, + 6426837, + -1, + 705387313, + 856579832, + 914279761, + 638972843, + 816726751, + 497302323, + -1, + 505531863, + 461601974, + 198014973, + 995837926, + 240590065, + 92418139, + 179743337, + 30095249, + -1, + 92541772, + -1, + -1, + 842966447, + 179463340, + 279086428, + -1, + 359718476, + -1, + 437973973, + 984821906, + 17032346, + 805811579, + -1, + 673101931, + 687073947, + 520287200, + 567749207, + 724555888, + -1, + 54395542, + -1, + 560861090, + -1, + 461448739, + 769813871, + -1, + 198520301, + -1, + -1, + 349275846, + 663633561, + -1, + 89375986, + -1, + 681045461, + 156499258, + -1, + 585548428, + 781105347, + 312090789, + 491078156, + 168343136, + 420611002, + 565624439, + 299911837, + -1, + 874222661, + -1, + 933740354, + -1, + 411827920, + 548902158, + -1, + 740058360, + -1, + 10355473, + 411134917, + -1, + 401163550, + 754698752, + 615688835, + 331337588, + 575454817, + 58427385, + -1, + -1, + 99465877, + 69160192, + 663085827, + 11391294, + 138610796, + 133048133, + 85301625, + 713214426, + -1, + -1, + 940588228, + -1, + 583211350, + -1, + 683167583, + 48518035, + 704081510, + 490678542, + 437850044, + 785391621, + 238234865, + 105566671, + 614363416, + -1, + 775376931, + -1, + 40843702, + 84568456, + 389315379, + 844590961, + -1, + 292896390, + 930529655, + 740412915, + 841539236, + 828052345, + 280536277, + 594209310, + 479908541, + -1, + 724071706, + 885595718, + -1, + -1, + -1, + 703257384, + 543158870, + 11355581, + 244624213, + 174663501, + 184179229, + 520010398, + 844647265, + 765432183, + 103152364, + 850642902, + 401489389, + 257915985, + 521556711, + -1, + -1, + -1, + 542687883, + 825019505, + 734821346, + 60691697, + 170090875, + -1, + -1, + -1, + 607409482, + 538550855, + 668593213, + 885084808, + 972011250, + 323937059, + 897457108, + 161165435, + 184827183, + 786433476, + 995475320, + -1, + 692704097, + -1, + 409699934, + -1, + 38362121, + -1, + 402069154, + 75698629, + -1, + 763715078, + 796366713, + 697390767, + 216436862, + 836118021, + 522693461, + -1, + 140964613, + -1, + 665657509, + 562270314, + 343618934, + 579448314, + 341926733, + 619844669, + 59606117, + 454858305, + 483026030, + 110982203, + 6022112, + 62876583, + 183004330, + 553336820, + -1, + 939753013, + 324200665, + 786463654, + 42437647, + -1, + -1, + 629909800, + -1, + -1, + -1, + -1, + -1, + 880972740, + 455147730, + 204277545, + -1, + -1, + 565755846, + 570627836, + 584059988, + 21348736, + -1, + 356147693, + -1, + 403512998, + 341011539, + 287677637, + 465574174, + -1, + 5265466, + 372111615, + -1, + 336779941, + -1, + 817816301, + 44658265, + -1, + -1, + -1, + 35401712, + 252421969, + 980759708, + 18590134, + 984366118, + 261065368, + 160051419, + -1, + -1, + -1, + 72192342, + -1, + 433220394, + 158520076, + 714951930, + 162316325, + 816000613, + 347869073, + 562016651, + 865663870, + 509663527, + 742147445, + 277310225, + -1, + 920398599, + -1, + -1, + 680179970, + 791579671, + -1, + -1, + 804744, + -1, + 607155496, + -1, + 619662827, + 912943074, + -1, + -1, + 466735234, + 7624042, + 685886520, + 835851118, + 132929014, + 246169599, + 439216787, + -1, + 577950207, + 694271261, + 495946826, + 722466962, + -1, + 900634892, + 500035666, + 848256864, + 723105020, + 257678562, + -1, + -1, + 112129312, + -1, + 565763249, + 125636409, + 976653300, + 523922721, + 546348889, + 765148641, + 231125761, + 189039299, + -1, + -1, + 957166334, + 772151134, + -1, + 494597989, + 137065293, + 4847859, + 49219295, + -1, + 734924206, + 600819877, + 363917591, + 143109179, + -1, + 640119994, + 900083448, + -1, + -1, + 632607874, + 699243554, + -1, + 106699323, + 871538762, + -1, + 399943909, + -1, + 851681962, + -1, + 222519679, + -1, + -1, + 618905437, + -1, + 761128937, + 858642537, + -1, + -1, + 527046814, + 981997439, + 471327035, + 778786750, + -1, + 214481816, + 820825987, + 714693992, + 864746019, + 468891080, + -1, + 99185246, + 553436400, + -1, + 528069424, + 708539179, + 357038770, + -1, + 656664341, + 607328924, + -1, + 375836103, + 55413084, + 868237651, + 545259786, + -1, + 92827645, + 951863775, + 621926400, + -1, + 371322279, + 307268712, + 101744243, + -1, + 178248244, + 393765727, + 427667572, + -1, + 737217012, + -1, + -1, + -1, + 517757255, + -1, + 105737509, + 985022938, + -1, + 824332045, + 990939704, + 182307645, + -1, + 758541976, + 163101547, + -1, + 293920927, + 341797276, + 420450540, + -1, + 830798870, + -1, + 56688935, + -1, + 163641571, + 37026831, + 454333166, + 924716249, + 169491774, + -1, + 544708461, + 435913412, + -1, + 11805460, + 108640303, + 647094708, + -1, + 330790418, + -1, + 714604083, + 464078552, + 483684475, + -1, + 594504846, + 445702843, + 49959365, + -1, + -1, + -1, + -1, + 588526189, + 394675040, + 135058691, + -1, + 77049767, + 255830011, + 11995314, + -1, + 407780113, + 662854370, + 439285260, + 167298803, + -1, + 584810480, + 502941077, + 629037770, + 860192120, + -1, + -1, + -1, + -1, + 671345747, + 464572523, + 803431992, + -1, + 8082251, + 250199826, + 751744076, + 343119336, + -1, + 186669169, + 595261123, + 626288695, + 375948067, + 935451934, + -1, + -1, + 641526996, + 943195421, + -1, + -1, + 585479661, + 480177271, + 840127231, + 725218460, + 184926808, + 66961975, + 609020893, + 70878022, + 64398144, + -1, + -1, + -1, + -1, + 56765489, + 219876764, + 245106908, + -1, + 329604176, + 49943414, + 246044292, + 943354480, + -1, + 452787318, + 524525408, + 699933698, + -1, + 441429179, + 672115345, + -1, + -1, + 333401938, + 649158652, + 246050261, + 261074151, + 63858691, + 249732422, + 422494182, + 53344029, + 162325585, + 536337841, + -1, + 685952834, + 838021, + 905204322, + 208066194, + -1, + -1, + 232886676, + -1, + 457443154, + 265931070, + 39926650, + 416428171, + 199163368, + 713486489, + 978632492, + 54940358, + 972989379, + -1, + 833943710, + 156506866, + 80137981, + 156554962, + 29091167, + -1, + 377741805, + 556441068, + -1, + 781617168, + 733572514, + -1, + 252605686, + 308056333, + 43186126, + 930614959, + -1, + -1, + 102759881, + 638611014, + 66336755, + 25138030, + -1, + 154139454, + -1, + -1, + -1, + 862960586, + 117225351, + -1, + 123776672, + -1, + 435507372, + -1, + -1, + -1, + 346444751, + 436954284, + 409563750, + -1, + 532400088, + 944617204, + 169132822, + 705868015, + 248667590, + 490272326, + 61061790, + 635548001, + 678284648, + -1, + 474833376, + 34187138, + 543980756, + 757042458, + 335537741, + -1, + 875279218, + 678562452, + 262984126, + -1, + -1, + 941798820, + 154651838, + -1, + -1, + 555268490, + 970466687, + 781394979, + 932483070, + -1, + -1, + -1, + 271296456, + -1, + -1, + 469183853, + -1, + 621460313, + -1, + -1, + 167330, + -1, + -1, + -1, + -1, + -1, + 674427062, + 493251193, + 786589029, + 102863101, + -1, + 5846424, + 767878662, + 426753832, + 657705818, + -1, + -1, + 201214131, + 959408164, + 26871918, + 600189272, + 112407176, + 40727067, + 191763436, + 568895396, + 941216424, + 510341908, + -1, + 457136180, + 221400320, + 451956530, + 145335765, + -1, + 568921461, + 591550966, + 872095839, + -1, + 389051726, + 930699102, + -1, + 480185386, + -1, + -1, + 815319866, + 985616076, + -1, + 800476892, + 751758931, + -1, + -1, + 426182617, + 196945480, + 492070145, + -1, + 764177248, + 633426963, + 638371395, + -1, + 373013844, + 593176740, + 516585102, + 828571683, + 757242698, + 402168208, + 484761455, + -1, + 140763253, + 559052991, + 563057570, + -1, + 213221930, + -1, + 133788327, + -1, + 745276913, + 141741250, + 209460226, + -1, + 862701276, + 723909041, + 932481523, + -1, + 935158781, + 233445592, + 98223430, + 379384095, + 578400254, + 846000383, + 750309190, + 704061942, + 786918338, + 583262031, + 337307830, + 395706778, + 185975950, + -1, + 827035128, + 580780093, + 852645881, + 46035013, + 69858491, + 101969701, + 286907633, + -1, + 202221995, + 468932480, + 723207747, + 154371213, + 868860238, + -1, + 203580350, + 150191873, + -1, + 532035632, + 212675877, + 475968364, + 143872832, + 306257930, + -1, + -1, + 188984716, + 237638703, + 540652129, + 340565273, + 794978446, + 356537900, + 171877671, + 618304016, + 279281867, + 665557624, + 424095752, + 487719781, + -1, + 986544354, + -1, + 222548185, + 133160873, + 760661729, + 95835492, + 266000640, + 734727375, + 18973072, + -1, + -1, + 590304244, + 302472297, + -1, + 575890994, + 212502432, + 14219380, + 531919569, + 376525874, + 251071542, + -1, + 993808643, + 323865386, + -1, + -1, + 152938213, + 997977644, + 918650296, + 703073412, + -1, + 631105150, + 796500934, + -1, + -1, + -1, + 71931179, + 469597311, + -1, + -1, + 111159998, + 751819108, + 437419269, + 947443106, + 222017176, + 530598694, + -1, + 228306725, + 840429540, + 292980390, + 59339589, + 504625450, + 965870442, + 560048934, + 44164368, + 204886124, + 499801246, + -1, + 515689727, + 823183253, + 828249898, + 520479269, + -1, + -1, + -1, + -1, + 86357984, + 71693209, + 379409413, + 707318526, + 146295880, + 932028661, + 321026910, + 623184869, + 416346096, + -1, + 166795549, + 443145551, + -1, + 17996418, + -1, + -1, + -1, + -1, + -1, + -1, + 812406714, + 65487267, + 229573002, + 548890211, + 255966539, + 847683698, + -1, + 904515907, + 867417194, + -1, + -1, + -1, + 564141809, + -1, + -1, + -1, + -1, + -1, + 308373967, + 177768810, + 622742024, + -1, + 351083098, + 556304151, + 859688460, + 354997395, + 780086273, + -1, + 82869547, + 822245265, + 458617166, + -1, + -1, + 238295554, + -1, + 950376232, + -1, + 393481970, + 57588027, + 125738865, + -1, + 488543780, + 845598496, + 113321894, + 713311163, + -1, + 665890717, + 174214026, + 777246159, + -1, + 124173764, + -1, + 253226046, + 306714391, + -1, + 900394307, + 374134480, + 13516762, + 458749768, + 483462795, + 724770120, + -1, + 864710415, + -1, + 245132281, + -1, + -1, + 446556817, + -1, + -1, + -1, + 324054342, + 236478380, + 193099904, + 42138808, + 535827529, + -1, + 935609153, + -1, + 697607070, + -1, + 574381018, + 761173387, + 756901022, + 28023123, + 380486079, + -1, + 311077702, + 687531038, + 642450825, + 903785904, + -1, + -1, + 342554492, + 901143840, + 592541743, + -1, + 989660916, + -1, + 105768819, + 822891008, + 227774814, + -1, + -1, + 573958320, + 789639760, + 457924392, + 507151496, + 185545751, + 402358051, + -1, + 190904771, + 635109921, + 203921795, + -1, + -1, + 799052659, + 579661650, + 630339179, + 442690275, + -1, + 123614820, + -1, + 962788488, + 904379194, + -1, + -1, + -1, + 489811593, + 968940906, + -1, + 920253840, + -1, + 574881398, + 516994287, + 606993062, + -1, + 188576259, + 474953123, + -1, + -1, + -1, + 86753825, + -1, + 214773200, + 410877987, + 380429212, + 125120236, + 911986409, + 173580705, + 801236786, + -1, + -1, + 375283141, + 430402647, + 738008837, + 359274532, + 519425374, + -1, + 224203911, + -1, + -1, + 839887699, + 312820075, + 414016602, + 979477906, + 658872812, + 12786599, + -1, + -1, + 575950711, + 299576482, + 362170227, + 721951892, + 498879351, + 338906372, + 930051803, + 678739974, + 720529237, + 328413738, + 580631091, + 831918275, + -1, + 738751945, + 522959772, + 88355774, + -1, + 502387797, + 964405132, + 118530188, + 760838650, + -1, + 560873721, + 886455199, + 753351754, + 921426664, + 230761702, + -1, + 47662083, + 537102287, + 721226814, + 525904333, + 701701958, + -1, + 193931310, + 846132393, + 847684093, + -1, + 543140177, + -1, + 899580577, + 790317296, + 404816224, + 926422880, + 933891568, + 71500521, + 457022819, + 975810593, + -1, + 558342016, + 290219572, + -1, + -1, + 669697529, + -1, + -1, + 30619156, + 644559323, + 306331416, + 543122361, + 484747877, + -1, + 782172483, + 171439810, + 148777537, + -1, + 112239144, + -1, + 170501128, + -1, + -1, + 141414048, + 294919660, + -1, + -1, + 155395079, + 441978421, + 42728318, + 797876694, + 584574625, + -1, + -1, + 522000552, + -1, + -1, + 937219768, + 898839010, + 990666723, + -1, + 189045408, + 266189070, + 492399779, + 805203442, + -1, + -1, + 768581567, + -1, + 925142652, + 325503873, + 659852998, + -1, + 733633953, + 829125741, + -1, + 625667619, + 773418609, + -1, + -1, + -1, + 949608392, + 911984190, + -1, + 59199136, + 334631256, + 260167526, + 366273126, + 709172415, + -1, + 448931787, + 474584118, + 455680152, + 326413740, + 727498992, + 246280524, + 68988292, + 819270666, + 939406597, + 161304696, + 125954970, + 714761374, + 296438035, + 645120331, + 333670865, + 447452780, + 870000750, + 844820727, + 444814369, + 785212689, + -1, + 554239242, + 65958584, + 866762292, + 798498724, + -1, + 604132038, + -1, + 756017182, + 852381245, + 543365654, + 906500954, + 544942723, + 942541721, + 878538343, + 509909220, + -1, + 186745019, + 387436990, + 346780989, + -1, + 37310512, + 806761483, + 526372773, + 543910673, + -1, + -1, + 839013791, + 576285334, + -1, + 823333191, + 748575689, + 546816261, + 61653849, + 992758426, + 929584466, + 766454994, + 412058332, + -1, + 242704268, + 150027697, + 16910718, + -1, + 106619566, + 324079983, + 691030069, + 595443395, + 822516974, + 405085778, + 217100515, + 29692335, + 868722867, + 460515082, + -1, + 551157720, + 267491717, + 260894664, + 110622831, + -1, + 904729506, + 872998727, + 735896214, + 560445786, + 421819445, + 204818516, + -1, + 86228890, + 845399956, + -1, + 375990765, + 120069973, + 663937633, + 52977565, + -1, + -1, + -1, + 793679678, + 840076725, + 546956423, + 765266944, + 194572821, + -1, + 556093553, + 859549842, + -1, + 85235523, + 452454357, + 550574644, + -1, + -1, + 988188044, + -1, + 643987269, + 423002769, + 449211043, + 621774449, + 130812792, + 400326225, + 325316969, + -1, + 652910225, + 567943191, + -1, + 68546707, + 547237885, + 73764461, + 800134694, + -1, + 759086450, + -1, + 407492891, + -1, + -1, + 638332092, + -1, + 678585305, + 28115677, + -1, + 592141129, + 798756419, + 133128361, + -1, + 475792778, + 685258564, + 162090044, + 563362462, + 781110041, + -1, + 561104817, + -1, + -1, + 745718562, + -1, + 67994081, + 21989361, + -1, + 350949538, + 784441492, + 533121431, + 551464943, + -1, + 967557580, + 357209346, + 143404562, + 279177315, + 301423038, + -1, + -1, + -1, + -1, + -1, + 381423270, + 200882427, + -1, + 504634393, + 252898677, + -1, + 662118999, + 466079551, + -1, + -1, + 573967137, + -1, + -1, + 877728005, + -1, + -1, + 510163527, + 800840394, + 526345848, + 957627542, + 218624408, + 38448190, + 296111774, + 608575121, + 752072672, + 446209396, + -1, + 550366088, + -1, + 139360753, + 158735022, + 439984642, + 750904034, + -1, + 244103228, + 636812605, + -1, + 58694248, + 958582628, + -1, + 670488657, + 742163895, + 545359424, + -1, + 756214047, + 526905397, + 675450943, + 879280253, + 875040548, + 720545751, + 56881973, + 407207369, + 855149096, + 14005418, + 223779701, + 594958981, + 224116638, + -1, + 104697944, + 909697371, + 451228656, + 487652618, + 211021424, + 364403888, + 931171822, + 270028548, + -1, + -1, + 802301510, + 890158505, + 499801729, + 251160740, + -1, + 516702982, + 631277389, + 410783788, + 506071321, + 889432322, + -1, + 764425972, + 754392762, + 209894392, + 341209446, + 11268726, + -1, + -1, + 207006165, + 144160020, + -1, + -1, + 338442029, + -1, + 64726087, + 265147763, + -1, + -1, + 318239309, + -1, + 555718221, + 568476253, + -1, + -1, + -1, + 133901857, + 439027538, + 514422656, + 819190901, + 968974460, + 368983038, + -1, + 565810135, + 621439747, + 234505589, + -1, + -1, + 888951506, + -1, + -1, + 727484149, + 708503837, + 899043064, + -1, + 55584898, + 170380158, + 938322857, + 399189279, + 679875407, + 492087611, + 2265841, + -1, + 943167998, + 604163398, + -1, + 687629296, + -1, + 580122369, + -1, + 407400895, + 204125421, + 178986601, + -1, + 568711820, + 622483388, + -1, + -1, + 653063615, + 217029480, + 718880147, + -1, + -1, + 44109082, + 375642526, + 506261100, + -1, + 454521955, + 112446927, + 783653301, + 662601548, + 410995413, + -1, + 622885911, + 999080662, + 288855156, + 372908582, + -1, + -1, + -1, + -1, + 480918648, + 39186847, + 755205494, + -1, + 674634957, + 855438632, + 475750661, + 257494552, + -1, + 849295043, + 644727016, + -1, + 572281262, + 410515591, + -1, + -1, + 928137202, + 850189933, + 275111811, + 685298585, + 555613351, + 457932877, + 17979420, + 406477616, + 599404689, + 346295038, + 727020438, + -1, + -1, + 416227889, + 434348136, + 747780544, + -1, + -1, + 536642819, + 542902900, + 357857857, + 606272122, + 737680235, + 726522472, + -1, + 849371679, + 162896621, + 171550904, + 184826566, + 100941655, + -1, + 296617062, + 345792967, + 368251407, + -1, + 717048930, + 487125378, + 974819015, + 651422088, + 200838300, + -1, + -1, + 627255722, + 896997948, + -1, + 890850382, + 778891865, + 646414795, + 428750427, + 602580168, + -1, + 755156488, + -1, + 986465378, + 563885599, + -1, + 928651893, + 102927980, + 357584255, + 643273690, + 684506964, + 304187861, + -1, + 832335868, + 583627861, + 545369703, + 358029042, + -1, + -1, + 343046239, + 972984290, + 429908782, + 862088952, + -1, + -1, + 80812981, + 453116820, + 307361414, + 5390234, + 462194864, + 53756575, + -1, + -1, + -1, + -1, + -1, + 685623994, + 354919730, + 686905113, + -1, + 978676970, + 850561093, + 12404601, + -1, + -1, + 770582620, + -1, + -1, + -1, + 599806274, + 54622444, + 198543345, + 975555385, + -1, + -1, + -1, + 329076135, + 83904352, + 281079674, + 276780746, + 152192626, + -1, + 206087308, + 863347300, + -1, + -1, + 833965498, + -1, + -1, + 751105007, + -1, + 817271920, + 399239180, + -1, + 644003065, + -1, + 561526220, + 808711759, + 221077213, + 37937532, + 617388151, + -1, + 931798390, + 207682763, + 296595648, + -1, + 534005634, + 995954264, + 841773447, + 578035900, + -1, + 484446507, + -1, + 851980404, + 379108446, + -1, + 397844855, + -1, + 602769346, + 135070048, + -1, + -1, + 26533497, + -1, + 199671134, + 400345596, + -1, + 678928165, + 488515347, + 147079900, + 37043404, + -1, + -1, + 994840286, + 577059260, + 131415988, + 242391136, + 541767363, + 628079071, + 404342351, + -1, + 664102523, + 410437785, + 745713363, + -1, + 940042942, + 318781956, + -1, + 154657441, + 535905869, + 658027777, + 28393687, + -1, + 991124175, + 224913457, + 350566567, + 103216878, + 384250120, + 461810105, + -1, + -1, + 183107206, + -1, + 90431188, + 821514282, + 334396626, + -1, + 328878866, + 449550083, + 813990526, + -1, + 550302140, + -1, + 233551512, + 566721474, + 938787775, + 272816788, + 591203516, + 47888769, + -1, + -1, + 225553665, + -1, + -1, + -1, + 351174154, + 397488017, + 925828574, + 426543135, + 599757836, + 547449290, + 523162708, + -1, + 541479777, + -1, + 424249955, + 848631109, + 499971066, + 642234986, + 128623584, + -1, + -1, + 159166527, + -1, + 975396592, + 502470497, + 116216793, + -1, + 857728444, + 760035255, + 813008924, + -1, + -1, + 743102233, + -1, + 852522551, + 370296600, + 861838907, + -1, + 283257152, + 388183126, + 119914612, + 904534806, + 3140485, + 231399100, + 795849528, + 22004630, + 611572543, + 40861310, + 323174441, + 92207048, + 636375677, + 900383497, + -1, + 345220506, + 945301961, + -1, + -1, + 695402401, + -1, + -1, + 180687617, + -1, + 662639757, + 27761771, + 792011586, + -1, + -1, + 533396289, + 661968138, + 617019582, + 290719118, + 684415997, + 820867879, + -1, + -1, + 364925851, + 159991650, + 509384477, + 283222294, + -1, + 253061438, + -1, + 754278450, + -1, + 884364196, + -1, + -1, + 637478077, + 106811401, + 404913890, + -1, + 375329553, + -1, + 365846273, + 571907411, + -1, + 965679834, + 220196848, + 638631365, + -1, + -1, + 267939395, + -1, + 554166610, + -1, + 400383488, + 705553495, + 674149775, + -1, + 170505032, + 276674461, + 737493412, + 907928352, + 258765886, + 885814999, + 641053272, + 924386948, + 378522819, + 906478759, + 273823347, + 469357762, + 783033440, + -1, + 777036131, + 756641903, + 613858459, + 48546690, + 382582637, + 395064457, + 930384989, + -1, + -1, + 741269332, + 307362176, + 371234797, + 169561634, + -1, + -1, + -1, + 957998641, + -1, + -1, + 331000102, + 138737676, + 431376462, + 500286634, + 932282861, + 861717345, + -1, + 25052215, + 108203606, + 661215388, + 121494227, + 471807303, + 278082918, + 539803500, + -1, + 941506407, + -1, + 304349585, + 759382, + -1, + -1, + 66123923, + 413250283, + 744951103, + 669675599, + 768077863, + 195116261, + 116738304, + 844143791, + 169129196, + 934416767, + 918739798, + 813444126, + 308993895, + 630950980, + -1, + 201851195, + -1, + 359038994, + -1, + -1, + 412400791, + 931681345, + 842344875, + -1, + 54179898, + -1, + 834115949, + -1, + 945438088, + -1, + 639272756, + -1, + 658899683, + 781819848, + -1, + 640057797, + 918814593, + -1, + 881850484, + 95555397, + 818217438, + 677525638, + 779976993, + -1, + -1, + 809395788, + 355321650, + 338768835, + 994270289, + 188930497, + 627489849, + 527553683, + 250287854, + 993509901, + 778112125, + 547930621, + 309738979, + -1, + 120279847, + 788635470, + -1, + 280423364, + 470217806, + 232542615, + -1, + 947736769, + 995835549, + 349621191, + -1, + 596362053, + -1, + 365192606, + 527957105, + 932401688, + -1, + 21164826, + -1, + 568867103, + -1, + -1, + -1, + 163346672, + -1, + 989550086, + 752058007, + -1, + 794725085, + 775731633, + 408260961, + 478904773, + -1, + 927288029, + 996089096, + 951069234, + 70628812, + 396692312, + -1, + 306777708, + 346641936, + 823138469, + -1, + 221562904, + 269109143, + 807269786, + 765524076, + 728739986, + 164948709, + -1, + 296734000, + 482849714, + 709785168, + 919022387, + -1, + -1, + 687324704, + 31684086, + -1, + -1, + -1, + 753107567, + 703170513, + 30974514, + 238157748, + 883376037, + -1, + -1, + 199246757, + 347344706, + 755715244, + 966439330, + 546857079, + 775620762, + 149388405, + -1, + 946406593, + 107102870, + -1, + 754870486, + -1, + 340154379, + 621491979, + 184431514, + -1, + -1, + -1, + 712836203, + -1, + 623659640, + -1, + 398129974, + 634085439, + 816246026, + 315899899, + 339430285, + 896388238, + 477712215, + -1, + 13929224, + 577566810, + 542185506, + 946444178, + 366088116, + -1, + 419103140, + 914879211, + 664844095, + -1, + 772477234, + 343508671, + -1, + 64552093, + -1, + 591142212, + 281166102, + -1, + 555393268, + 174900313, + 6126929, + -1, + 34964043, + 626713826, + 877051422, + 373160810, + 108005764, + 230730095, + 483126347, + -1, + 754373891, + 156273691, + -1, + -1, + 101243357, + 272883071, + 48742355, + 480758227, + 832477701, + 118243612, + 854698858, + 981582648, + 787710686, + 716161777, + 824122436, + -1, + 550702603, + -1, + 406472181, + 577728133, + -1, + -1, + 50713645, + 827650705, + 210894122, + 892102249, + -1, + 614049394, + 445368871, + 899720029, + 608203139, + 459961688, + -1, + 675102209, + 193728407, + 135635336, + 923251655, + -1, + 316106091, + 269851297, + 210662121, + -1, + -1, + -1, + -1, + -1, + 42205940, + -1, + 6951648, + 498449916, + -1, + 882974579, + 757415893, + 189874165, + -1, + 94182643, + 974276655, + -1, + 787978591, + 824197587, + -1, + 549815203, + -1, + 214041153, + 85317414, + -1, + 384195452, + 282725668, + 295906013, + -1, + -1, + -1, + 255410206, + 912747793, + -1, + 121799702, + -1, + 25455426, + 245103240, + -1, + 877266865, + 183510121, + -1, + -1, + 453783173, + -1, + 801458361, + 566922548, + 181326287, + 130497772, + 412460149, + 353924972, + 354066981, + 27174179, + 906619305, + -1, + 478494204, + 585427039, + 448897298, + 85450062, + -1, + -1, + -1, + 183060488, + -1, + -1, + 513726477, + -1, + -1, + -1, + 269946087, + 799137848, + 888649442, + 761136853, + -1, + 662390962, + 161914278, + 154479842, + -1, + -1, + 562332014, + 477296803, + -1, + -1, + -1, + 721916916, + 858710402, + 542123397, + -1, + 63714030, + -1, + 463966413, + -1, + 944813629, + -1, + 702539430, + 560692557, + 345597881, + 852991748, + 219232, + -1, + 261551655, + 113681237, + -1, + -1, + -1, + 868448581, + 777528981, + 821296467, + 992886051, + -1, + 497899586, + 451263650, + 469062906, + 675982737, + 126259411, + 812825398, + 263485696, + -1, + 645574205, + -1, + 235360097, + -1, + -1, + 981217881, + -1, + 811067911, + -1, + 538212747, + 783722301, + 803700806, + -1, + 776724014, + -1, + 575091309, + 688532756, + 170567182, + 699119508, + 267584893, + -1, + 574343257, + 277363661, + 494472041, + -1, + -1, + 142464989, + -1, + -1, + 13604443, + -1, + -1, + 636859019, + -1, + 178857910, + -1, + 64994099, + 331160661, + -1, + -1, + 590172738, + -1, + -1, + 888713804, + 996094049, + 215023755, + 575783795, + 735929561, + 880767173, + 924730649, + -1, + 377320200, + 605011079, + -1, + 538961153, + 547095730, + 149121469, + 878069391, + -1, + 207287536, + 752471665, + 860197426, + -1, + 598919432, + -1, + -1, + -1, + 879364718, + 413608912, + 402623592, + 264319667, + 812831503, + 228738354, + 298881664, + 343700393, + 395256604, + 628281136, + 56555490, + -1, + -1, + 226221475, + 722104116, + 87647850, + -1, + 572860998, + -1, + -1, + -1, + -1, + 240001413, + 868323293, + 312675743, + 731953765, + -1, + 911552003, + -1, + 423348663, + 235622811, + -1, + 349444430, + 745168544, + 22556286, + -1, + 553054419, + 984058353, + 328083375, + 125126126, + 890233819, + 169320476, + -1, + 23438239, + 982742421, + 902353515, + 609408649, + -1, + 162965529, + 966308386, + 806186458, + 700101141, + 191855818, + -1, + -1, + -1, + 304632063, + 938875957, + 440946017, + 48142737, + -1, + -1, + 741831982, + 541754659, + 669265086, + 56276649, + -1, + 570419537, + 834132940, + -1, + 459103994, + 446236474, + 957086340, + 445549983, + 662714349, + 880430165, + -1, + 915179785, + 95389440, + -1, + 21537243, + 790240777, + 142631868, + -1, + 27837008, + 933692192, + 510458435, + 710553166, + 661181037, + 627223952, + 605061837, + 887543700, + 678432408, + -1, + 716486113, + 777264988, + -1, + -1, + -1, + -1, + 758792096, + -1, + 599372985, + 724610248, + 24371313, + 664879237, + 822035330, + 809512141, + -1, + -1, + 891265892, + 25774568, + 23588385, + 751097959, + 827424941, + 956122101, + 892162639, + 701372870, + 395754766, + 594878735, + 823287643, + 227776098, + 977227555, + -1, + 865373786, + -1, + 163169294, + 534465159, + 597413849, + 245020992, + -1, + 738869932, + 739749972, + 756334366, + 972863969, + -1, + -1, + 439469406, + 354143729, + 716547079, + 926707153, + 294608918, + 53606111, + -1, + 835249171, + -1, + 440799528, + -1, + -1, + 448917473, + -1, + -1, + 703043250, + 751033643, + -1, + 898829505, + -1, + 420591237, + 460590158, + 45493402, + -1, + -1, + 616160658, + 503083391, + 597587432, + 286245049, + 651016276, + 832158722, + 92636452, + -1, + 524100233, + 887209444, + 291810844, + -1, + 49810347, + 28095404, + 740171309, + 650107068, + -1, + -1, + 561063231, + -1, + -1, + 221938844, + 843108254, + -1, + -1, + 123724741, + 709865315, + 327291250, + 993402719, + -1, + 175964032, + 160809181, + -1, + 919954185, + -1, + 633200624, + 267615170, + 677258130, + 808107040, + 862733714, + 294467170, + 168653180, + 194161272, + -1, + 890732419, + 898100341, + 824954090, + 748149915, + -1, + 459281660, + -1, + 236321930, + 214000787, + -1, + 40964520, + 363492995, + 62205033, + -1, + 305675665, + -1, + 811446340, + 584455261, + 437512269, + -1, + 375785141, + 507041310, + 148454608, + 719447369, + -1, + -1, + 754335127, + -1, + 93173665, + -1, + -1, + 735650376, + 184832396, + 490386041, + 473874289, + -1, + 771246484, + -1, + 711433897, + 384561834, + 85510787, + -1, + 703562621, + -1, + -1, + -1, + -1, + 117809050, + -1, + 673357376, + 983406379, + -1, + 688318524, + 308875786, + 500005520, + -1, + 474726410, + 406732289, + -1, + 6940591, + 22912728, + 901744251, + -1, + 567533410, + 766936958, + 969876196, + 248896598, + 921399426, + 576599139, + 3144508, + 284511998, + 356083306, + 870574911, + 999139863, + 390358484, + 705022179, + -1, + -1, + 581527931, + 434053, + 606742634, + 364205702, + 431024632, + 833722251, + -1, + 214900145, + 762568200, + -1, + 4299000, + 193619338, + 953627619, + 930167583, + -1, + 339610049, + 939294998, + 275628179, + 583405756, + 970781528, + 236618450, + 833365946, + -1, + 236641162, + -1, + 232414783, + -1, + 802084464, + 320904325, + -1, + 862001713, + 536128121, + 215462622, + -1, + 83269066, + 78653576, + 219733661, + 526605408, + 74160203, + -1, + 137494754, + -1, + 650710083, + -1, + -1, + 720058848, + 117368000, + 160843577, + 820773627, + -1, + -1, + 94364730, + 423081129, + 312593160, + -1, + -1, + 328879433, + -1, + -1, + 821181330, + 514766156, + 611805615, + -1, + -1, + 987317181, + 527367635, + 891849478, + 414747548, + 313453999, + 538797201, + 223186218, + 22017400, + 489215254, + 276626663, + 178145926, + 806069617, + 459508030, + 588967844, + 423319441, + 962033040, + 370931118, + 712372164, + 554631140, + 953252215, + 464006952, + 545404029, + 661124672, + 18014866, + 479574236, + -1, + 725981971, + 796896272, + 141874445, + 571222613, + 402624164, + 211628309, + -1, + 200910292, + 441974224, + 995968618, + 842422545, + -1, + 982575037, + 790331793, + 292043252, + -1, + 344417950, + 232063259, + 898150855, + 688964790, + 427630251, + 236248859, + 219401874, + 907440489, + 412385452, + 962536642, + -1, + -1, + -1, + 728660416, + 857637052, + 882421255, + 148896944, + -1, + 915644694, + 465360992, + -1, + 560942018, + 526361822, + 206459183, + 780066714, + 738730582, + 443683678, + 607288125, + 141798199, + 366510699, + -1, + 108112716, + 892515226, + -1, + 769215371, + -1, + 674857552, + 773784340, + 177683809, + 929787430, + 792805680, + 393077582, + 814127630, + 809044041, + 872652489, + 253982851, + 236588195, + -1, + -1, + 323730050, + 981006691, + -1, + 186769956, + 448552278, + 43324097, + 678213871, + -1, + 168343412, + -1, + 575663413, + 951007276, + -1, + 652746942, + 906705224, + 386642023, + 240215761, + 678946988, + 678491484, + 307582930, + 613386374, + -1, + 993221352, + 79192019, + -1, + -1, + 537522990, + -1, + 874965619, + 792603386, + 540048611, + 697497439, + 886016688, + 459710577, + 706838435, + 604921742, + 416804600, + 33247307, + -1, + 206541050, + -1, + 682311116, + 44960273, + -1, + 824253505, + 546360378, + -1, + 90937921, + 287269236, + 459760320, + -1, + -1, + -1, + 75986991, + 911193478, + 934006348, + 286000102, + 406581226, + 686656309, + 190139257, + 963646189, + 796137656, + -1, + 945630315, + 994054472, + -1, + -1, + 452066191, + 919698243, + -1, + 551823258, + 678221492, + 464928711, + -1, + 254100270, + 637560781, + 499242688, + -1, + -1, + -1, + -1, + -1, + -1, + 118806944, + -1, + 504745842, + 61281094, + 240374717, + -1, + 875976490, + 110706177, + 542468050, + 210662052, + 325051455, + 876483956, + 729701359, + -1, + 545304075, + 319510141, + -1, + 580099554, + 444323153, + -1, + -1, + 628924732, + 110983642, + -1, + -1, + -1, + 554517380, + 946966640, + 183718707, + 291545131, + -1, + -1, + 771585786, + 165586842, + 891360379, + 88659733, + 690450384, + 97803026, + -1, + -1, + 929894395, + 507437998, + -1, + -1, + 10813408, + 970376529, + 175211041, + -1, + 576304418, + -1, + 562643726, + 786747635, + 476065887, + -1, + 944188800, + 960290965, + 638019970, + 454206012, + -1, + 251233204, + 934697663, + 622491362, + 809869684, + 515266253, + 555613160, + 375634011, + 231127364, + 271845572, + -1, + -1, + 340722060, + -1, + 44720018, + 150454353, + 332543253, + 54888249, + 488985961, + 524241060, + 782831709, + 685206484, + -1, + -1, + -1, + 23368788, + -1, + -1, + -1, + -1, + 501777847, + 787593071, + -1, + 606442603, + 666283307, + 540683132, + -1, + 756115049, + 961001621, + 634996805, + 270015695, + 945667217, + -1, + 642793741, + -1, + 846914203, + 899947419, + -1, + 790945032, + -1, + 131520752, + 101162391, + 619860076, + -1, + 656080970, + 788504883, + -1, + 858910998, + -1, + -1, + -1, + -1, + 324135305, + 407954721, + 790133024, + 674056982, + 226417669, + -1, + 362472341, + 791943617, + 34918655, + 131823361, + -1, + 744724738, + 208813132, + 797139788, + -1, + -1, + 799011821, + 418045761, + 550271075, + 212537395, + 977485315, + -1, + 974697536, + 870757960, + 744642817, + 703177968, + -1, + 887149276, + 156232077, + -1, + 385575895, + -1, + 830846430, + 98849655, + -1, + -1, + 19026306, + -1, + 577596601, + -1, + -1, + -1, + 822045669, + 659900878, + 677625783, + 322353949, + 264266415, + 450028321, + 869279405, + 731515862, + 362602343, + 624054570, + 46296883, + -1, + 745696532, + -1, + -1, + -1, + -1, + 75197212, + 34140956, + -1, + 332394603, + 251204612, + 476990493, + 828805710, + 32309956, + 192857697, + 111812388, + 272375029, + 478524948, + 93160087, + -1, + 627629884, + 324208680, + -1, + 998910881, + 923544418, + -1, + 977578125, + -1, + 444504497, + -1, + 307880244, + 400365054, + 352086118, + 924516496, + 25916324, + 405769529, + 414221861, + 621473061, + 940703206, + 42261744, + 157648555, + 942838866, + 608369021, + -1, + -1, + 360179317, + 137093685, + 711490410, + -1, + 380953289, + 670059760, + 802400014, + 404087263, + 319654340, + 44815491, + 864818972, + 101065299, + 517270707, + 855123237, + 421533745, + 928708098, + -1, + -1, + 763679962, + 757352845, + -1, + 678677633, + 342301450, + 295687954, + -1, + -1, + 598181395, + -1, + 640098641, + -1, + -1, + 593564902, + 488365264, + 757869051, + 277208, + 565617400, + -1, + 952282891, + 82409989, + -1, + 599158710, + -1, + 816263477, + 260602631, + -1, + 727196461, + -1, + 587329809, + 419594056, + -1, + 298132472, + 38331578, + 762026664, + 51431369, + -1, + 191553981, + -1, + 595481050, + 325142346, + 833524137, + -1, + 883200760, + 823604826, + 442023402, + -1, + 927092764, + 739727451, + 310225567, + -1, + 928233596, + 488962534, + -1, + 760736498, + 197123807, + 225042385, + 367136375, + -1, + -1, + -1, + 884546223, + -1, + 54351268, + 680843579, + -1, + -1, + 361352471, + 114758322, + -1, + 712544928, + 3421397, + 604051062, + 315624716, + -1, + 554938100, + 49729429, + 408368965, + 741925070, + 719831732, + 332504873, + -1, + 647801185, + 496651526, + 275587012, + 479934921, + -1, + 208854631, + 182300208, + 353764016, + 635133569, + -1, + 287015207, + -1, + -1, + -1, + 603208353, + -1, + 572813448, + 501297790, + 359645484, + 794623071, + 542695743, + -1, + -1, + -1, + 631076262, + 717824229, + 369977692, + 116953421, + 715264891, + 874811219, + 613880167, + 121645006, + 623387358, + -1, + -1, + 690840662, + -1, + -1, + 440233968, + 71252039, + -1, + 594789092, + 538800850, + 227160140, + 720053571, + 290747792, + -1, + 324941880, + 446047039, + -1, + -1, + 117205422, + -1, + 264366201, + 402110568, + 406619514, + 452829130, + 372198805, + -1, + 480044297, + 983976087, + 418050197, + -1, + 35095552, + 989045765, + -1, + -1, + 489774626, + -1, + 358842657, + 718766364, + 586338650, + 119129215, + 353185475, + 652270027, + 188504524, + 374870174, + 968534883, + 4500953, + 852961467, + 838035400, + -1, + -1, + 284723737, + -1, + -1, + 366375238, + 824194566, + -1, + 176184395, + -1, + -1, + -1, + 939213517, + 644119951, + 484702850, + 340871075, + -1, + -1, + 283942350, + -1, + -1, + -1, + 213259693, + 897031554, + -1, + 174551792, + 122618373, + 455349462, + 398471994, + -1, + -1, + 798771271, + 524814237, + 581253208, + 776823977, + 630616134, + 546697472, + 691080818, + 234339751, + -1, + 821920444, + -1, + 720432110, + 692647569, + 863962832, + -1, + 291510341, + -1, + 732087197, + 983038125, + -1, + 472236759, + -1, + 402216429, + -1, + 616947005, + 667727382, + 965463163, + 533593265, + 291425156, + 371686976, + 412911543, + 639399673, + 334949816, + 82182480, + -1, + 725201269, + 442308041, + 128635211, + 126425295, + 993418912, + 463264097, + 265144826, + -1, + 432464576, + -1, + 364998929, + 40248725, + 505103424, + -1, + 609939836, + -1, + 632917901, + -1, + 826989211, + -1, + 541634276, + 91917037, + 23723290, + -1, + 531373045, + 910308034, + -1, + 133395121, + 293246969, + -1, + 84596423, + 398436918, + 83944640, + 657227481, + -1, + 142230333, + 687776813, + 994548126, + 321214755, + -1, + 977114717, + 73990209, + -1, + -1, + -1, + 838784753, + 189300583, + 376865065, + 764374381, + 434057251, + 495253792, + 925193967, + 762796516, + -1, + -1, + 898471857, + 873442313, + -1, + 820625734, + 789527294, + 671325641, + 990829575, + 336899326, + -1, + -1, + 718734254, + 906462697, + 449936852, + 993008108, + -1, + -1, + -1, + 36879025, + 666695696, + -1, + 937850892, + 237684298, + 71679760, + -1, + 448135475, + -1, + -1, + -1, + 698878646, + 175413490, + 214992559, + 182513088, + 450538223, + 531037010, + 520235675, + -1, + -1, + 925740034, + 67490657, + 983099887, + 436560825, + -1, + 260796742, + 165739385, + 262262598, + 49537328, + 235926924, + 756330069, + 639135433, + 348507451, + 521450122, + 301776854, + 965804564, + 520474470, + 605919164, + -1, + 934939567, + 48666493, + 912434870, + 760636136, + 156986077, + 938893800, + 797476806, + -1, + 219241473, + 73338095, + -1, + 424654942, + -1, + 815518317, + -1, + 129952140, + -1, + 388896654, + 958927767, + 320394411, + -1, + 629202648, + -1, + 898995435, + -1, + 921434805, + 592085295, + 774226685, + 647349682, + -1, + 82225876, + 440895477, + 374583094, + -1, + -1, + 381149671, + 750357607, + 713961233, + 631040066, + 102396333, + 228518063, + 867808855, + 280597334, + -1, + -1, + 226465363, + 985515420, + -1, + 467359798, + 893349382, + 199006445, + -1, + 846439851, + -1, + 885253625, + 282697740, + 150507069, + 445680709, + 852958358, + 71347724, + 860561032, + 545958337, + 33203200, + -1, + 620875084, + 201991001, + -1, + 424545931, + 22369028, + 960390528, + -1, + 746339279, + 215772947, + 730867524, + 968731337, + 253631476, + 531777958, + 995358403, + 912074904, + 587443583, + -1, + 533985414, + 384317810, + 381286300, + 368198117, + 243865256, + 187805617, + -1, + 447985026, + 699102850, + -1, + 278926203, + 850379120, + 942485985, + 274370316, + 720895244, + 397309650, + -1, + 200534312, + -1, + 67718861, + -1, + 590219032, + 863887931, + -1, + 189546691, + 49056953, + 901741421, + 860977151, + -1, + 842021082, + 1617953, + -1, + -1, + -1, + 534743670, + 570493256, + 653131787, + 422890524, + -1, + 935564268, + 987033934, + 791602738, + 790769720, + -1, + 222341878, + 543411897, + -1, + 47989174, + -1, + -1, + -1, + 767332077, + -1, + -1, + 979239716, + 838156347, + 835652876, + 522916295, + -1, + 537909728, + 331291201, + 391550351, + -1, + 709328796, + 514166927, + 715710889, + 474932527, + -1, + 272726749, + -1, + 178693649, + 287438017, + 485402421, + 815071527, + 617217963, + 158098934, + -1, + 583664089, + 946847407, + 12747050, + 932888560, + -1, + 623686417, + 692603874, + -1, + 68809765, + 586960075, + 920789290, + -1, + 33614870, + -1, + -1, + 493336277, + 800800723, + -1, + 766052474, + -1, + -1, + -1, + 31400040, + -1, + 200636547, + 233098664, + 686643671, + -1, + -1, + -1, + 689467286, + -1, + -1, + 159187411, + 18414582, + 656919216, + 945272708, + -1, + 396143421, + 79334538, + -1, + -1, + 501315126, + -1, + 98402453, + 241646647, + -1, + 253927301, + -1, + 506678869, + 873910704, + -1, + -1, + 984245805, + 236508806, + 454123727, + 14052974, + 179802467, + 515218388, + 420590319, + -1, + 540111282, + -1, + 574856866, + 909860933, + -1, + 938767171, + -1, + 112331789, + -1, + 184856548, + -1, + 276059850, + -1, + 543919635, + 87935908, + 508527455, + 20711327, + 166150986, + 757558616, + 437644280, + 609878321, + 752649707, + 817831377, + -1, + 59647314, + 885607176, + 914394022, + 221773677, + 969059530, + 853932176, + 760003259, + 844350741, + 807414364, + -1, + 391816684, + 695338971, + 742116367, + -1, + 78964587, + -1, + -1, + 21067046, + 386541023, + 605814250, + 921850269, + -1, + 621414604, + -1, + 722083799, + 458584033, + 283522630, + 862584130, + 688989599, + 762787575, + 731344829, + 45845433, + -1, + 611111463, + -1, + -1, + -1, + 409378026, + 175624783, + 419392783, + -1, + 370129654, + 722564089, + 72594748, + 231209339, + 980022506, + 832513949, + -1, + -1, + 481201618, + 834907429, + -1, + 87006429, + -1, + 157027001, + -1, + 353180955, + 398336962, + -1, + 308187412, + 103788260, + 485714073, + 514491966, + 150611826, + 410408220, + 493836189, + 881244909, + 598671147, + 348520784, + -1, + 926748990, + 143242610, + 724855706, + 846205395, + 610081006, + 939020368, + 344596790, + -1, + 435712419, + 979237741, + 275923681, + 313622874, + 721419157, + -1, + -1, + 258335956, + 691133178, + -1, + 704697147, + 313926848, + -1, + 615274827, + 109096698, + -1, + 382353374, + -1, + 864736278, + 492696842, + 403356838, + -1, + -1, + -1, + 400140766, + -1, + 185139735, + 929820075, + -1, + 401146654, + 45212659, + 893743026, + -1, + 129642129, + 65662323, + -1, + 350093938, + 435628692, + 605185539, + 892223188, + -1, + 207561677, + 959462778, + 653900733, + 935993529, + 729263242, + -1, + -1, + -1, + 886228001, + 493052547, + -1, + 132210513, + -1, + 165247543, + 421863658, + 474906483, + 845305826, + 41500070, + 88357968, + -1, + -1, + 492096867, + 735139146, + -1, + -1, + -1, + -1, + 355813255, + 373872106, + 243349487, + 806874602, + -1, + -1, + 138631791, + -1, + 805521907, + 526418847, + 481831977, + -1, + 942982933, + -1, + -1, + 664648747, + 505993528, + 311322166, + 761928417, + 266298279, + 503586890, + 542254349, + 783847366, + 174132952, + -1, + 488592965, + -1, + -1, + -1, + 631639714, + 386385653, + 103728881, + 634748761, + 483714659, + 343978068, + 77742125, + -1, + -1, + -1, + 806345283, + 524718609, + 217714666, + 537125940, + 392545014, + 55940204, + 897377313, + -1, + 197395255, + 720399560, + 566881132, + -1, + 404309822, + -1, + 442380316, + 522014059, + 997930947, + 189596720, + -1, + -1, + 97578558, + 500872428, + -1, + -1, + 481750683, + 676543540, + 445709818, + 595717209, + 818277253, + 675623080, + 603478347, + 809375788, + 393999575, + 527948597, + 403545096, + 113759764, + 114142726, + -1, + 522315643, + 526821573, + 507741797, + 279677287, + 30470310, + 449857343, + 931237366, + 850237714, + -1, + 505528913, + 340733185, + -1, + 264419432, + 475944119, + 767332436, + 837613187, + 698640355, + 15729915, + 699846304, + -1, + 444505226, + -1, + -1, + -1, + 397384436, + 6377381, + 919544671, + 84974433, + 671388752, + -1, + 297876547, + 793683989, + -1, + 566532647, + 356903904, + 124853857, + -1, + 675491683, + 62086528, + 218543245, + 274981731, + -1, + 598467827, + 528453272, + -1, + 895509305, + 916016806, + -1, + -1, + -1, + 55172407, + 99167918, + 4783693, + -1, + 112311295, + -1, + 761017035, + -1, + -1, + 317983342, + -1, + 88050923, + -1, + 781723023, + 110184877, + -1, + 360859378, + 546811164, + 723242864, + -1, + 69647193, + -1, + 311406887, + 505813765, + 942687132, + -1, + 269720682, + -1, + 962889187, + 16228426, + 433148425, + -1, + 423968272, + -1, + 611936338, + 71007711, + -1, + 881574901, + 610528759, + 454828827, + 261599424, + 173818656, + 115034987, + 368535398, + 866583733, + -1, + -1, + 559912820, + 862440791, + 520157786, + 532865277, + 618089307, + 926104876, + -1, + 612334249, + 998238354, + 24738983, + 574221293, + -1, + 195937395, + -1, + 962176362, + 605898815, + 194422713, + -1, + 156204176, + 170960267, + -1, + 741678459, + 18524138, + 856606044, + 886284546, + 439594289, + 360194098, + 654436880, + 345575391, + -1, + -1, + 347835401, + 755792995, + 215739988, + 940845598, + -1, + -1, + 822692746, + -1, + 598321298, + 844494041, + 7327661, + 513342073, + 169875862, + -1, + 724775118, + 989461914, + 842522699, + 992881002, + 284085599, + 675103180, + 415457582, + 833880499, + 566015517, + 226654786, + -1, + 474588142, + 233300916, + -1, + 295629031, + 983149376, + 185739465, + 511920280, + 426860192, + 501498692, + 677214252, + -1, + 434591121, + 757808269, + 947278733, + 928445402, + -1, + -1, + 568241395, + 807583359, + 722445353, + 853435805, + 831769733, + -1, + 710413415, + -1, + 358199153, + 895804594, + -1, + 35402427, + -1, + -1, + 84538343, + 684943494, + 181656674, + 318154384, + 338393117, + 311906712, + 207033841, + 600852962, + 452304927, + 463010882, + -1, + 615826966, + -1, + 840236232, + -1, + 444083795, + 472335492, + -1, + 858067367, + -1, + -1, + -1, + -1, + -1, + 120911111, + 504462408, + -1, + 764620354, + -1, + 926936292, + 94532583, + 492984066, + 116287385, + 996713602, + 669037147, + 994069770, + 588950549, + 653605479, + 478476713, + -1, + 194381119, + -1, + 216894968, + -1, + -1, + -1, + 181656939, + 299694032, + 578236390, + 506194479, + 161401394, + -1, + 768332453, + -1, + -1, + 686776499, + 192749535, + -1, + 265622784, + -1, + 605641005, + 907102497, + 42656508, + 302689968, + 340651621, + 57951349, + 190658627, + -1, + 322441213, + 686406465, + 615626266, + 268807001, + 544457231, + -1, + 787085936, + 30461462, + -1, + 126567292, + 373022901, + 838245983, + -1, + 740534430, + 700745979, + -1, + -1, + 388752450, + -1, + 561968860, + 843250501, + 903488725, + 882838787, + -1, + 578753690, + 787486588, + 535213100, + 546546054, + 798101408, + -1, + 983954554, + -1, + -1, + -1, + 914724609, + -1, + 761007997, + -1, + 211147105, + 498907339, + -1, + 245250226, + 303151940, + 518589296, + -1, + 787289506, + -1, + 480533759, + -1, + 534421598, + -1, + 335816974, + 655890583, + 832588118, + -1, + 877640590, + 420589117, + -1, + -1, + -1, + 61229984, + 734911512, + 86017455, + 261452554, + 487358392, + 571153212, + 740028840, + -1, + 558289500, + 155539692, + 725767022, + -1, + 811158582, + -1, + 611919513, + 767869564, + -1, + 334125382, + -1, + 526149703, + 63782224, + -1, + 429786504, + -1, + 57534503, + 573136730, + -1, + 378441247, + 328574349, + 725394622, + 417606353, + -1, + -1, + 872198363, + 630550364, + -1, + 692320928, + -1, + -1, + 75657252, + 629807342, + 623846043, + 904489499, + 590843706, + -1, + -1, + 478458394, + 397803321, + -1, + 332549918, + -1, + -1, + 156880952, + 851055599, + 692798307, + 511563733, + 377489965, + -1, + 334498437, + 932568846, + -1, + 367578025, + -1, + 163198425, + 685032011, + 49469563, + -1, + -1, + 791634218, + 38536813, + 74435781, + -1, + 767562198, + 216580418, + 462847983, + 725072640, + 540126544, + 156432353, + 208893228, + 596746302, + 214821238, + 839892620, + 887970973, + -1, + 939244915, + 633746830, + -1, + 600856433, + 373400284, + 583500901, + 512921385, + -1, + 708579085, + -1, + 895067826, + -1, + 710699346, + 385126675, + 570974295, + 940175901, + -1, + -1, + 425778580, + 108724381, + -1, + -1, + -1, + -1, + 253047774, + -1, + -1, + 385291589, + -1, + 855015791, + 25803701, + 325266100, + -1, + -1, + -1, + 962161785, + 511499133, + -1, + 158452950, + 599468468, + 308002491, + -1, + -1, + 19965841, + 74443067, + 212044453, + 311959467, + 421481201, + 660884106, + -1, + 60956902, + 771089797, + 218104914, + 721398819, + 285394946, + 320244865, + 923063519, + 66518875, + -1, + 981014984, + 646604389, + 606829907, + 644083062, + 97038787, + 753544209, + -1, + -1, + 937136343, + -1, + -1, + -1, + 836862808, + 51295136, + 445889484, + -1, + 166731421, + 367902749, + 309278280, + 668866194, + 348818015, + 828172309, + -1, + 918158981, + 858837074, + -1, + 136768609, + 812973085, + 542557671, + 615337062, + 644851501, + -1, + -1, + -1, + -1, + 271496905, + -1, + 898156986, + 684174249, + 903622659, + -1, + -1, + 823786036, + -1, + -1, + 593014708, + 562012344, + 320289385, + -1, + -1, + 977289231, + 935714305, + 812515391, + 297096641, + -1, + 756989456, + 305406956, + 527857132, + -1, + 795583371, + -1, + -1, + 970119262, + 14882320, + -1, + -1, + 905397396, + 662958140, + 397966377, + -1, + 304968738, + 391580916, + 154384810, + 791232742, + -1, + 428562676, + 250632726, + 848783028, + 585930138, + 288431832, + 565770371, + -1, + 450939636, + 45121203, + 355023299, + 693113658, + 270964808, + -1, + -1, + 343939986, + 952268591, + 821081115, + 825061655, + -1, + -1, + -1, + -1, + 780241367, + -1, + 364382443, + 629234166, + 563796931, + -1, + 492064171, + -1, + 117850532, + 257061505, + 924635759, + 248049718, + -1, + -1, + 7389480, + 537084372, + 649886674, + -1, + -1, + -1, + 230097940, + -1, + 599925875, + -1, + -1, + 831945961, + 132842491, + 733521841, + -1, + 702677436, + 477268026, + 54084495, + 642682571, + 605324270, + -1, + 905514117, + -1, + -1, + 893761935, + 619795745, + 112163064, + 494711963, + 189801457, + 390740477, + -1, + -1, + 962933253, + 144742356, + 564502793, + -1, + 41814209, + -1, + 3482073, + -1, + 332958647, + 88886871, + -1, + 649220063, + 332591013, + -1, + 958260658, + 287076899, + 916800227, + 709175980, + 9874897, + 645444599, + -1, + 867142581, + 712927169, + 13497202, + 259360193, + 971560846, + 830435292, + 258192937, + -1, + 652579403, + 967532247, + 577093005, + 204549618, + 301156729, + -1, + -1, + 15394080, + -1, + 15631934, + -1, + 126236337, + -1, + 802712337, + -1, + -1, + 84365019, + -1, + 784606079, + 336489760, + 428151998, + 309878869, + 540133997, + 319680548, + -1, + 21295925, + 439334130, + -1, + -1, + 684567875, + -1, + -1, + 375574605, + 211341299, + 396224903, + 324110801, + 555276699, + 841206065, + -1, + -1, + -1, + 161658884, + 348436086, + -1, + 515563123, + 506940316, + -1, + 723609952, + 906552511, + 177993422, + 18971636, + -1, + -1, + 852694568, + 633757886, + 444963905, + 417744208, + -1, + 304275905, + -1, + -1, + -1, + -1, + 304876393, + 286264012, + -1, + -1, + 618033745, + 753359678, + 358821706, + 826223022, + 227539870, + 767542276, + 185560498, + -1, + 704944101, + 162069554, + 715140653, + 505224301, + -1, + 555828270, + -1, + 539343472, + 713534979, + -1, + 112864007, + 921986501, + -1, + 243388349, + 471589253, + 728201413, + 711829751, + 923860150, + 73165908, + 131470375, + -1, + 182301812, + -1, + -1, + -1, + 739219377, + 156862890, + 500718068, + 169100648, + -1, + 755211572, + 869656977, + 555329948, + 622015828, + 947722661, + -1, + 885283172, + -1, + -1, + 768300586, + 338814053, + -1, + 115504397, + 172265045, + -1, + 398395297, + 332331183, + 70054143, + -1, + -1, + -1, + 345928271, + 474480619, + 226573853, + -1, + -1, + 951372548, + 416475251, + 915513743, + -1, + 890640390, + -1, + -1, + -1, + -1, + -1, + 294660899, + 452520228, + -1, + -1, + 337005705, + 199622721, + 190344826, + -1, + 480984894, + -1, + 385924725, + 980723916, + 209188728, + 278043099, + 316469276, + 292816534, + -1, + 648575992, + 674448374, + 356097492, + 44823042, + 418008595, + 427122636, + 521419507, + -1, + -1, + 103437710, + 692723299, + -1, + -1, + -1, + 734642192, + 318630466, + -1, + 837492619, + -1, + 80087889, + 634441255, + 938964729, + 834270573, + 909606959, + 214166288, + -1, + 93784772, + -1, + 814638157, + 116344004, + 974627695, + 821812900, + -1, + 753428792, + 289132575, + 24721505, + 949632021, + 112134540, + -1, + 499992458, + 374276542, + 706047062, + -1, + 2678595, + 99707190, + 15657426, + -1, + -1, + 37730795, + -1, + 978021751, + -1, + 112859672, + 248250878, + 709342867, + -1, + 373952442, + 403153744, + -1, + -1, + 932148584, + -1, + 637783141, + 999164572, + 932304036, + -1, + -1, + -1, + 16281187, + 263691601, + 190310615, + 908288099, + 548707221, + 166377785, + 687922829, + 49604603, + 84416866, + 211992825, + 483067028, + -1, + 484138808, + 346174499, + -1, + 432751455, + -1, + 943422915, + -1, + 919971673, + 241594337, + 106749539, + 30079469, + 793276958, + 596648870, + 858456071, + 535177850, + 746166631, + -1, + 87514983, + -1, + -1, + 350180195, + -1, + 697776664, + 54457404, + 762952295, + -1, + 261870770, + 511048691, + 927966480, + 797601573, + 711078608, + -1, + 704864230, + -1, + 439595756, + -1, + 357109013, + -1, + -1, + 961087644, + 674394807, + 743520948, + -1, + 223690285, + 916103474, + 988353448, + -1, + 712668250, + 239328219, + 658283486, + -1, + 4807063, + -1, + 167669252, + 344180791, + 370622549, + -1, + -1, + -1, + -1, + 960001600, + 654650163, + -1, + 645507927, + 257220364, + 887293842, + 531998843, + 798292404, + 965850131, + -1, + -1, + 647727004, + -1, + -1, + 942064354, + 379210422, + 552167266, + 447020399, + 729781759, + 844648976, + -1, + 632346321, + 153063366, + -1, + -1, + -1, + 453387062, + 174659776, + 163519278, + 647974584, + 157230982, + 925814241, + 496424744, + 975539835, + -1, + 586260306, + 252746597, + 983071044, + 754971904, + 917770135, + -1, + 656770202, + 561283770, + 243693402, + 115866793, + 568127507, + 385807589, + -1, + -1, + 819113910, + -1, + -1, + 875366286, + -1, + 983050699, + -1, + 482006877, + -1, + 348771453, + 551154497, + -1, + 602474110, + 946255872, + 979213452, + -1, + -1, + -1, + 222373483, + 274354413, + 435638450, + 761309918, + 631948075, + 243254320, + 235753355, + 802758139, + -1, + 245072160, + 537582720, + 182005435, + 758454890, + -1, + -1, + 958603051, + -1, + -1, + 423165648, + 305096939, + 109464, + 42272686, + 378541633, + -1, + 713011188, + -1, + 835266091, + 759435462, + 279006213, + 722226847, + 972393480, + 230978828, + 597195923, + 931180478, + 298040138, + 848778665, + 868503773, + 444767576, + -1, + 336875495, + -1, + 232801753, + 208206515, + 439046635, + 113890827, + 246091274, + 859255639, + -1, + 464464351, + 881554534, + 807445837, + 7053266, + 936007698, + 224464963, + 496240695, + 811108841, + 714392279, + -1, + 281199448, + 298740289, + -1, + 794521161, + 240040912, + 2785721, + 799301085, + 819800717, + 748543398, + -1, + 826225143, + 881221444, + -1, + 719747631, + 421798308, + 806981638, + -1, + -1, + 921608190, + 637303645, + 652683531, + 748972845, + 246470723, + 559988072, + 816789667, + 907221179, + -1, + 779625543, + 747130278, + 286859167, + 561511432, + 677594253, + 62717604, + 162357866, + -1, + 164846323, + -1, + 167337854, + 22041815, + 474484890, + 717653735, + -1, + -1, + 426594521, + 562596924, + 383457807, + -1, + -1, + 196094627, + 408440773, + 127286459, + 106830885, + -1, + -1, + -1, + 931902162, + 915263933, + 586542688, + -1, + 673367555, + -1, + 932125166, + 626774755, + -1, + -1, + 439683892, + 854522941, + 622447320, + 141773047, + 714773658, + 709498690, + -1, + 945340548, + -1, + 551727990, + -1, + 746520583, + 3408366, + 699588326, + 168954127, + 45204087, + 147529526, + -1, + -1, + 162613275, + 101840522, + -1, + -1, + 942649403, + 220091095, + -1, + -1, + 843074346, + 214094214, + -1, + -1, + 269784890, + 226089517, + 753061490, + 323268481, + -1, + -1, + -1, + -1, + 816735649, + -1, + -1, + 44828643, + 347070028, + 997521353, + 358963524, + 171728262, + -1, + 275393931, + 481312414, + -1, + 631667245, + 323107194, + -1, + 625307473, + 48893152, + 111399976, + 693947506, + 657331078, + -1, + 530963683, + 527559967, + -1, + 787728835, + -1, + -1, + 799361065, + -1, + 987875872, + -1, + 678529678, + -1, + 30884397, + 327703776, + -1, + 588098814, + 352169314, + 502884232, + 477146755, + -1, + -1, + 277838123, + 670527357, + 53686733, + 897833826, + 433222596, + 314338866, + 982391899, + 313037783, + 496159976, + 866540822, + 591156457, + 278967940, + 194906023, + -1, + 926086514, + 176731393, + 317264014, + 121094381, + -1, + 503225849, + 408765295, + 262721500, + 699768149, + 9915891, + 488252614, + 294714346, + -1, + -1, + 395704895, + 359145712, + -1, + 822846864, + 146809244, + 128791667, + 325085300, + 254473390, + 686751742, + -1, + 866573114, + 830076250, + 667384716, + -1, + 520381475, + -1, + 604410460, + 449967293, + 346798486, + 739412278, + 48348446, + 706967034, + 515187798, + 310081040, + 587150109, + 108243380, + 600834113, + 611101813, + 165298820, + 630456607, + 867970317, + 888500529, + 180578807, + 432213949, + 767405680, + 946042857, + -1, + 245165055, + 881496038, + -1, + 832707985, + -1, + 193129619, + 771270357, + 309176089, + -1, + 30937590, + 620371694, + 185716856, + 309514325, + -1, + 506241901, + 707184244, + 759250872, + 317771078, + 967386792, + -1, + 350300732, + 211194257, + -1, + 883372504, + -1, + -1, + -1, + 393287436, + 341144467, + -1, + -1, + 951994511, + 575180594, + -1, + 840959327, + 734927407, + 3925045, + -1, + -1, + 447015369, + 719721659, + -1, + -1, + 550325320, + 768434194, + 14171389, + 505339386, + 37675434, + 392936434, + -1, + -1, + 879799370, + 798237607, + 4869543, + -1, + -1, + 592977913, + 52079057, + 577651681, + 418712588, + -1, + 678174401, + 877694718, + 667995294, + -1, + 131072205, + 742668026, + -1, + -1, + 381195721, + -1, + 306084335, + 927879283, + 6018131, + 409781494, + 642746344, + 329031254, + -1, + 317561146, + -1, + -1, + -1, + 93445036, + 493418708, + 797774029, + 424660242, + 88675037, + -1, + 457809408, + 220971346, + 595174765, + 208061250, + 127150682, + 802109290, + 356407546, + 399478465, + -1, + 282148029, + -1, + 301681185, + 416601418, + 526156105, + -1, + 752894566, + -1, + 999364505, + 677376676, + 64462862, + 112582681, + 378823723, + 872081149, + 660329696, + 256234303, + 402701388, + -1, + -1, + 655121694, + 612628987, + 635244836, + 316092620, + 964090275, + -1, + -1, + 572915348, + -1, + -1, + 599163420, + 642887810, + 710768885, + 389856178, + 231748810, + 56422068, + 64615383, + -1, + 590253856, + 408342579, + -1, + 883755264, + -1, + -1, + -1, + 313735160, + 152221942, + 763348122, + 976217536, + -1, + 241092041, + 362580072, + -1, + 962387366, + 119037407, + 56670165, + 382352904, + 470422916, + -1, + 228555290, + 721447035, + 979428969, + 847415091, + -1, + 714007094, + 936351138, + 748772484, + 724214338, + 206813085, + -1, + 853321410, + -1, + 676008290, + -1, + -1, + 532681092, + 368134922, + -1, + -1, + 363119376, + 227242944, + -1, + 412466740, + -1, + 934111158, + 196979399, + 196728684, + 357126765, + 703299925, + 801932131, + 789486797, + 69774706, + 785621906, + -1, + 762017746, + 161712365, + 766280530, + 312946167, + 549170416, + 13333361, + 786879745, + 829761119, + 185516148, + 407195889, + -1, + 823622705, + 436974376, + -1, + 654357908, + -1, + -1, + 937179177, + -1, + 612283949, + 823480034, + 126071137, + 852593377, + 977614383, + 167653283, + 343874031, + -1, + -1, + 435466228, + 442601586, + 262504894, + 522742388, + 858439483, + 754582700, + 778460858, + -1, + -1, + 558365470, + 475307472, + -1, + 417862103, + 679715222, + 178517022, + -1, + -1, + 248728928, + 383136608, + 903281627, + 582873745, + 820479145, + 887393541, + -1, + 149551176, + 240907547, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 968185681, + 255246486, + 888538156, + 53335140, + -1, + -1, + 387949797, + 437707884, + -1, + 765904271, + 164608657, + 913053641, + 40977940, + 55311435, + -1, + 53238268, + -1, + -1, + 417302974, + -1, + -1, + 298382574, + -1, + -1, + 515209466, + 373242079, + 823232743, + -1, + 999327900, + 246694356, + 940464961, + 322468288, + 716998593, + 480540504, + 192800774, + 98996669, + 727832686, + -1, + -1, + -1, + 256690289, + -1, + -1, + 46562551, + -1, + 363143919, + 632891915, + -1, + 888026553, + 142721069, + -1, + 391219017, + 489384239, + 175612748, + 154196093, + 978265342, + 281683413, + 936627507, + 667522068, + 732942291, + 527903767, + -1, + -1, + 508278248, + -1, + -1, + 775079665, + 158172657, + 730757010, + 265634071, + 884253108, + 988225956, + 829495745, + 450546444, + 855179122, + 502814950, + -1, + 628341961, + 448420528, + -1, + 316607565, + -1, + 712802165, + 511721998, + 84017174, + 483625515, + -1, + -1, + 850752078, + -1, + 856047231, + -1, + 285470951, + 605587288, + 489633258, + -1, + 783295501, + -1, + -1, + 266466083, + 409249045, + -1, + 929661504, + 100754749, + 456838106, + -1, + 842007304, + 575246413, + 564356186, + 521948113, + 800390165, + -1, + -1, + 273481770, + 913777264, + -1, + -1, + 849846095, + 483607602, + 979144512, + 391450837, + -1, + 615854326, + 272072399, + 933237110, + 843166673, + -1, + 816961250, + 819643183, + 449219324, + -1, + 170302297, + 787068965, + 665015284, + 879379207, + -1, + 835859942, + 467412707, + -1, + 75148013, + 282715462, + 84631727, + -1, + 642112845, + 190731193, + 178592304, + 550189025, + 314048949, + 918205667, + -1, + 963403509, + -1, + 725795573, + 966810778, + 997714140, + 121268709, + 496014975, + 828991572, + -1, + -1, + 961792415, + 406398554, + 787861892, + 19347378, + 25121821, + 810317187, + -1, + 600299411, + -1, + -1, + -1, + 51419687, + 655607818, + 686402962, + 704974992, + -1, + -1, + -1, + 487991034, + 932024050, + -1, + -1, + 229463430, + 808730095, + 895999703, + -1, + -1, + 533164213, + 767736890, + -1, + 147536417, + 416721388, + 801805566, + 296296292, + 30519968, + 884344875, + 226523532, + 869134317, + -1, + 72193493, + 131848489, + 274403288, + -1, + 688430572, + 70632364, + 650382775, + 95520823, + 654854578, + -1, + -1, + -1, + -1, + 52723654, + 737209653, + 671930639, + 166023803, + 558307768, + 288170300, + 485662422, + 295261754, + 502849344, + 987980162, + 593682266, + 463580936, + 774050665, + -1, + 3098197, + -1, + -1, + 209493041, + 592613488, + -1, + 267888549, + -1, + 843068733, + -1, + 491859980, + -1, + -1, + -1, + -1, + -1, + -1, + 623388650, + 703432704, + -1, + 221638250, + 606244744, + 921338411, + 632049593, + -1, + -1, + 183572399, + 23291110, + -1, + 452508420, + 490687002, + 39157426, + -1, + 833249149, + 714692795, + 473241133, + 110874778, + 551445112, + 923745269, + 662604792, + 126646214, + -1, + -1, + -1, + 467624827, + -1, + 283352757, + 47222146, + -1, + 276556616, + 799446717, + -1, + 630472612, + 322568711, + 923453169, + -1, + 812627356, + -1, + -1, + 473303651, + 112433780, + 106441945, + -1, + 650142976, + 871402428, + 981666177, + 882927877, + -1, + -1, + 300812398, + -1, + 837351473, + 246847253, + -1, + 500363118, + -1, + 11461755, + -1, + -1, + 124758821, + -1, + 268446096, + -1, + -1, + -1, + 656509000, + -1, + 906814325, + 978555204, + -1, + -1, + 76461817, + 714133394, + -1, + -1, + 424076967, + 71316495, + 815271254, + 486454498, + 624824764, + 766888418, + 388429625, + 337893369, + -1, + 370311326, + 759508185, + -1, + 902860357, + 550943324, + -1, + -1, + -1, + 84669415, + 260825717, + -1, + 332681451, + -1, + -1, + 552106305, + -1, + -1, + 734800369, + 454904617, + -1, + 383503269, + -1, + 364336474, + -1, + 607044735, + 940700090, + -1, + 170906893, + 446008971, + 498327382, + -1, + 261571707, + 393405399, + 178041754, + 35982617, + 241932337, + 166367141, + 137290907, + 18733498, + -1, + 40489267, + 895734916, + 801451049, + 130645654, + -1, + 666570030, + 605351744, + -1, + -1, + 62287294, + 9617479, + 159628416, + 962268033, + 718730995, + 835275370, + -1, + -1, + 730188345, + -1, + 345750317, + 81660700, + -1, + 845845580, + -1, + 199577642, + 60596273, + 673599630, + -1, + 412176600, + 188761844, + 899262017, + -1, + 339432187, + -1, + -1, + 963685901, + 22907066, + 847181208, + -1, + -1, + 181748133, + 264341598, + -1, + -1, + 591917751, + 158038277, + 703646855, + 442704652, + 916942369, + -1, + -1, + -1, + -1, + 629730365, + 658559502, + 192253195, + 848412654, + 60438632, + -1, + -1, + -1, + -1, + 420791154, + -1, + 41224849, + 671246479, + 907863689, + -1, + -1, + 645455017, + 835077928, + 954100562, + 689591673, + -1, + -1, + 188761446, + 174742502, + -1, + 197399254, + 739728736, + 847121270, + 789528652, + 124837600, + -1, + -1, + 545847501, + 556043940, + 112559620, + -1, + 489415736, + 24431161, + 893162528, + 433199833, + 307171544, + 768222877, + 349315112, + -1, + -1, + 826056434, + 850924603, + 488758387, + 768844395, + 237674452, + 861520153, + -1, + -1, + -1, + 881591369, + -1, + -1, + 656198155, + 84408378, + 519505703, + 748409510, + -1, + -1, + -1, + 471210423, + 811798263, + 852599665, + 819353546, + 123049465, + -1, + 779611108, + -1, + 369843098, + 133746241, + -1, + 385827426, + 841771585, + -1, + 183119024, + 946285543, + 853750002, + -1, + 563486280, + 609772004, + 413495454, + 564268541, + 426629429, + 855646395, + 447947476, + -1, + 489492316, + 94552626, + 616661766, + 228767758, + 440220104, + 245861730, + -1, + 778967454, + 630531402, + 218882570, + 492917274, + -1, + -1, + 699274269, + -1, + -1, + 375288486, + -1, + 369824029, + 416407137, + 223891180, + 518962031, + -1, + 465996388, + 588979618, + -1, + 834033980, + 481150071, + -1, + -1, + 335487924, + 362178015, + -1, + 579272650, + 950937670, + 952157060, + 512540591, + 965585336, + 798297311, + 243258896, + 347261436, + -1, + 462301734, + -1, + 258066193, + 774554096, + -1, + 823355138, + -1, + -1, + 717382669, + 891409647, + 662209012, + -1, + 942097430, + 46380380, + -1, + 912542146, + 909182255, + -1, + -1, + 672261687, + 851394900, + 289107309, + -1, + 350901715, + 909972777, + -1, + 697758568, + 152085326, + -1, + -1, + 577305064, + -1, + -1, + 215434934, + 427849237, + 551705182, + 150530016, + 756296558, + 656206179, + 419336403, + 160860824, + 460568293, + 746396166, + 542920463, + 934221348, + 752205870, + -1, + 244906337, + 660921646, + -1, + -1, + 873344290, + 559309327, + 469856227, + 291127842, + 879463805, + 432534890, + 946874291, + 99135303, + 700869518, + -1, + 516394924, + 837882268, + 399048708, + 644409088, + 616399487, + 529585491, + 317843119, + 515948699, + -1, + 644186382, + 447588630, + 36656207, + 25391758, + 237511666, + 322224016, + 606729758, + 202590248, + 905840537, + 537153281, + 919931136, + -1, + -1, + -1, + 463177069, + 252612927, + 343362829, + 666361099, + -1, + 287959048, + 639389512, + 438112684, + -1, + 552733105, + -1, + -1, + 367778203, + 145996919, + 600198114, + 491096860, + 511471348, + 237855215, + -1, + 112743869, + 741978929, + -1, + 345366861, + -1, + -1, + 241152980, + 304459576, + 969113932, + -1, + 624938174, + 350292069, + -1, + 269951850, + -1, + 753212078, + 345936917, + -1, + -1, + 767428910, + 249133251, + 516934542, + 630620823, + -1, + -1, + 924794443, + -1, + -1, + 413451834, + -1, + 351579041, + 86498496, + 475681932, + -1, + 387368875, + 756720862, + -1, + -1, + 53146142, + 400342428, + 349444071, + -1, + -1, + 331878100, + 978107778, + 687069171, + 995400077, + 655767412, + 983569674, + 683277870, + 957017078, + 416752318, + 322699623, + -1, + -1, + 583491553, + 207346440, + 848542886, + 180634327, + 431143469, + 542463754, + 809106009, + 318093597, + 784795466, + 824346443, + 300830165, + 345238466, + 485998103, + 812687451, + 347840713, + 692257058, + -1, + -1, + 437437541, + 993427450, + -1, + 538934923, + 889338893, + 111543589, + 970436994, + 631643824, + 814632162, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 426641298, + 447322887, + 283616595, + 440433792, + 621285839, + 980146873, + 893240414, + 453809319, + 484322613, + 493978692, + -1, + 618520617, + -1, + -1, + 312191868, + 603282923, + 414788528, + 683324026, + 830007072, + 292130958, + 231033989, + 104177034, + 279250302, + -1, + 51238488, + 93646816, + -1, + 608179476, + 173907012, + -1, + 888150134, + 627756978, + 919651996, + -1, + -1, + 251516178, + 563489957, + -1, + 901887312, + -1, + 312562082, + 637656208, + -1, + 39913281, + -1, + 826644993, + -1, + 19318270, + 151575934, + 356334675, + 803530996, + 802545494, + -1, + 458024287, + 251700598, + 50045123, + 663724150, + 205220591, + -1, + 540635895, + -1, + 905684325, + 331521569, + 622684640, + -1, + 471228194, + 244435088, + 279482470, + 616252083, + 731464180, + -1, + -1, + -1, + 830569972, + -1, + 85579063, + 872543501, + -1, + 63347860, + 134073449, + 757926225, + 753961440, + 909326126, + 14387109, + 835581388, + 976407043, + 687523433, + -1, + -1, + -1, + 733852239, + 752444392, + -1, + 649718377, + -1, + -1, + 477274619, + 776643694, + -1, + 556137402, + -1, + 12818572, + 915761347, + 750969442, + 241599807, + 454157138, + 762339719, + -1, + 550526938, + 664098137, + 40430929, + 765384958, + 260896983, + 40177286, + 946644916, + -1, + 312511374, + 94023687, + -1, + 606216014, + 985963815, + -1, + 569192332, + 139450697, + 843669544, + 623662101, + 394820303, + 674527048, + 121419625, + 794556118, + 580389423, + -1, + 487956652, + 194576075, + 328843206, + 282484828, + -1, + 300546887, + 848690074, + 867756436, + 548204304, + 801638012, + -1, + 698586647, + 995434591, + 906686491, + 832506063, + 848561504, + 455766755, + -1, + -1, + 965926238, + 590597125, + -1, + 496423117, + 828510503, + -1, + -1, + -1, + -1, + 628823785, + 446604754, + 925848919, + 378796133, + 374438702, + 343585894, + -1, + 862086516, + 102807408, + 975550837, + -1, + 815015080, + 601004821, + 908746283, + -1, + -1, + 587658414, + -1, + 438644999, + 864617444, + 743820149, + -1, + 146733595, + -1, + 809564890, + -1, + 795466953, + -1, + -1, + 600880010, + 139872617, + 988467956, + -1, + -1, + 139855069, + 160188027, + 473816098, + 139236089, + 123149894, + 317757429, + -1, + 586880970, + -1, + 989571869, + 341360174, + 82152295, + 316587049, + -1, + 544157900, + -1, + 458474515, + 402254114, + -1, + 795371184, + 103657376, + -1, + 628949650, + 345512941, + -1, + 951516070, + 793913927, + -1, + 360796003, + 920753479, + 260565282, + 427806472, + 521969385, + 20290005, + 270079877, + 243841555, + 966821709, + 781911391, + -1, + 359345682, + 264916680, + 97883149, + 539441308, + -1, + -1, + -1, + 477475932, + 33190620, + -1, + 999223822, + -1, + -1, + 144333047, + 32073002, + 517017687, + 538804266, + 518747764, + 399406908, + 38148536, + -1, + -1, + -1, + 299117772, + -1, + 464037690, + 442217471, + 239203759, + 593286650, + 895849321, + 813554504, + -1, + 143164634, + 871755699, + -1, + 846352651, + -1, + -1, + 864478580, + -1, + 261583978, + 843662537, + -1, + 208877829, + 554538019, + 779929219, + 507886644, + 556038014, + 339975873, + 965315398, + -1, + -1, + -1, + 538789747, + 799613369, + -1, + 673568799, + 349047562, + 391044391, + 233995885, + -1, + 157378084, + 203583292, + 977275883, + 277611612, + -1, + 524346359, + 996799567, + -1, + 576223179, + -1, + -1, + 428797856, + 99686900, + 316710014, + 20115725, + 553400860, + -1, + 726102152, + 399869155, + 771028705, + -1, + 703650744, + 43876521, + 282789630, + 444529246, + 361938716, + 540968978, + 792636478, + -1, + -1, + 945135199, + 449933432, + 903219500, + 821152681, + 673926794, + 446603377, + -1, + 631201840, + 219548058, + -1, + 830561751, + 961271434, + 733569608, + 79882884, + -1, + 23134466, + -1, + -1, + -1, + 280844614, + -1, + 109516317, + 793226077, + 706346204, + 41199894, + -1, + -1, + 502192298, + -1, + -1, + 333695775, + 796640796, + 302996583, + 102432693, + 780740854, + -1, + -1, + 819256554, + 648103331, + -1, + 122554013, + 172165066, + -1, + -1, + 153263798, + -1, + 855628091, + 696914014, + 243820724, + 726400960, + -1, + -1, + 236650960, + 977931696, + -1, + -1, + 995201316, + -1, + -1, + 704240353, + -1, + 734992105, + 473142194, + 297225237, + 444646025, + 892295529, + -1, + 208830540, + -1, + 621883479, + 981464279, + 302881784, + 285472594, + 212430608, + -1, + 256901287, + -1, + 829024572, + -1, + 920109828, + 638977099, + 497417475, + 428718419, + 757452289, + -1, + 755132848, + -1, + 803826873, + 41358584, + 119440131, + -1, + 754043942, + 754449865, + -1, + 329147596, + 992564690, + 618632254, + -1, + -1, + 316433443, + 857402073, + 751495386, + 366937725, + 885243751, + 703956359, + -1, + 320634524, + -1, + 209947790, + 258212791, + 736100206, + 159494001, + 64848241, + -1, + 77755745, + -1, + -1, + 572287038, + 571575436, + 463238489, + 869166484, + -1, + 116440756, + 147472476, + 439992038, + -1, + 27164600, + -1, + 484446623, + 529726002, + 707445564, + -1, + 857661143, + -1, + 332973653, + 359753532, + 774433066, + -1, + 630505306, + 666948910, + 595377441, + 283619950, + 349978502, + 148750032, + 895582106, + 404275818, + 811652891, + -1, + 876136776, + 837525372, + 920013416, + 114930347, + -1, + 623195570, + 538165214, + -1, + -1, + 682286032, + 635675093, + 165084268, + 733812839, + -1, + -1, + -1, + 944001075, + -1, + 399709231, + 627981638, + 878973467, + 429755451, + 780410489, + 798968963, + -1, + 431294805, + 328175695, + 946175276, + 106217208, + 246306, + -1, + 985083018, + 902292327, + -1, + -1, + -1, + 223436841, + 852522473, + -1, + 408995123, + 837084313, + -1, + 194933876, + 659013943, + 877148857, + 236417014, + -1, + 487990029, + 113473317, + -1, + 301144050, + -1, + 306539199, + -1, + -1, + 102224352, + 147753214, + 327876730, + 204350648, + 420676569, + 749805840, + 384220865, + 661570766, + -1, + 692833801, + -1, + -1, + 910448048, + 563984455, + -1, + -1, + 718028407, + -1, + -1, + -1, + 120994065, + -1, + -1, + 573865217, + 717458660, + 709620833, + 856649051, + -1, + -1, + 712971446, + 564073096, + 990634359, + 397989984, + 40283186, + -1, + 341836667, + -1, + 338391090, + 110663437, + 207137005, + -1, + 703535660, + 78176444, + -1, + 381864441, + 938255819, + 467033709, + 166623393, + 794064955, + 636280092, + 923557476, + -1, + 886099019, + 449173192, + 48367933, + 594299384, + -1, + -1, + 122722703, + -1, + 498077422, + 438989167, + 717109573, + -1, + 937654721, + -1, + -1, + 670265173, + 68653912, + -1, + 56309167, + 958788444, + 837220463, + -1, + -1, + 113178252, + 569408307, + 945485832, + 132048865, + 694806942, + -1, + 562934099, + -1, + 637545835, + 375072150, + 821976143, + 167996806, + -1, + 510515000, + 316649390, + -1, + -1, + 5959665, + 579462613, + -1, + 210917204, + 305762788, + -1, + 947833983, + -1, + 54403441, + 564616239, + 875428500, + 741743017, + -1, + -1, + 138475540, + 822600368, + 501555361, + 475329347, + 64904548, + 468580552, + 950965726, + 728533508, + 470572453, + 300057486, + -1, + -1, + 6823763, + 307399393, + 794028214, + 303672297, + 414160420, + -1, + 542109714, + -1, + 833797319, + 125521839, + 336990526, + -1, + 709732905, + 774315655, + 18911795, + 59061603, + 787417414, + -1, + -1, + 907939112, + 40685909, + 207409723, + -1, + 304431770, + -1, + 299257092, + 953798033, + 607593885, + 443064709, + 648794978, + -1, + 393467010, + 773862856, + 325963095, + 83057313, + -1, + 944478490, + 601802536, + 505538559, + 986965145, + 521864862, + -1, + 257068082, + 448725577, + 333850426, + 765504113, + -1, + 531502537, + 175106578, + 745911858, + 213773200, + 72619826, + 750700131, + -1, + -1, + -1, + 997804270, + 27052523, + 351019384, + 951588275, + -1, + -1, + 227695077, + -1, + 438415179, + 59721330, + 671143168, + 127381322, + -1, + 6608690, + 113008634, + -1, + 839905889, + -1, + 764392727, + 355006321, + 529739080, + 672487216, + 507053247, + 137879463, + 646307390, + 744254936, + -1, + -1, + 836541665, + 407955172, + 142911880, + -1, + 335817583, + -1, + 49413120, + 496695532, + 811486241, + -1, + 925410254, + 932512525, + 458660686, + 549502368, + 445777183, + 910944771, + 444703146, + 409501636, + -1, + 284336130, + 522617897, + 585652563, + 812551497, + 353562579, + 50053074, + -1, + 244722397, + 832648398, + 817764935, + 149975080, + -1, + -1, + 56631758, + 452146050, + -1, + 418574548, + 964928719, + -1, + 686229463, + -1, + 745625089, + 573465150, + 958115975, + 662075577, + 605914693, + 369951908, + 638797249, + 273750884, + -1, + 363495822, + 912729879, + 329131566, + 155021494, + -1, + -1, + -1, + -1, + -1, + 959122219, + -1, + 861935282, + 249526534, + -1, + 792484527, + -1, + -1, + -1, + -1, + 701243475, + 480013178, + 160609880, + 698510677, + -1, + -1, + 34542408, + 546331319, + -1, + -1, + -1, + 93491670, + 321454767, + 815609539, + 891329422, + 942208176, + -1, + 278657999, + 711399680, + 58320898, + 838024321, + 753842929, + 193076178, + -1, + -1, + 552638865, + -1, + 676251800, + -1, + 613387414, + 952202601, + 889725625, + -1, + 293025343, + 466479229, + 789481362, + 498920865, + 34319438, + -1, + 536415192, + -1, + 787624833, + -1, + 348706960, + -1, + 779555232, + -1, + -1, + 541610429, + 486989940, + -1, + 376229430, + 731511027, + 450650540, + 776319272, + 814419801, + 827270292, + -1, + -1, + 186794638, + 130529203, + -1, + 331404793, + 198961865, + 874945007, + 218103264, + 157740599, + 833289548, + 884359651, + 647077140, + 879567146, + 643518140, + -1, + 391091496, + 588272920, + 637703486, + 413728910, + 877728502, + 895679855, + 821482053, + -1, + -1, + -1, + 147800425, + -1, + 120121009, + 787527783, + 226617961, + 673566417, + -1, + 962402979, + -1, + 679390936, + 62502150, + 399431052, + 529953596, + 70858021, + 881102831, + 296706129, + 141100518, + 759557423, + 715485010, + 913484841, + 852241565, + 623034647, + -1, + -1, + -1, + -1, + 711684263, + -1, + 17679269, + 150027609, + -1, + -1, + 873857031, + -1, + -1, + 442519303, + 217613752, + -1, + 421244728, + 462300133, + 479403276, + 167627815, + -1, + 12189401, + 977105865, + 59705843, + 583654428, + -1, + 367477876, + -1, + -1, + -1, + 206236205, + 589172960, + 834404997, + -1, + 875555014, + 151023726, + 57894687, + 469260910, + -1, + 997651978, + -1, + 980067251, + 412135974, + 809183390, + 820908513, + -1, + 496489207, + 882074116, + 381600747, + 385806253, + 792441499, + 810889617, + -1, + -1, + 596858510, + 998945202, + 284408290, + -1, + 923676589, + -1, + 899365202, + 201509140, + 296248683, + 865883714, + 343960528, + 544083505, + 472780634, + 400250760, + 969540385, + 990682447, + -1, + 254865300, + -1, + 162252191, + 993573268, + 13411910, + 574294875, + 338281860, + 766595529, + 857992515, + 905167227, + -1, + 612404569, + -1, + 501846352, + -1, + -1, + -1, + 884779237, + 585607828, + 48263539, + 469481313, + -1, + -1, + 141210473, + -1, + 910806531, + 15259554, + 66941769, + 347059434, + 169052774, + -1, + 899377315, + 952298170, + 182053107, + -1, + -1, + -1, + 852521059, + 854999513, + 322131968, + 840147697, + -1, + 548174924, + 572059718, + 551964925, + 363829597, + -1, + 617362935, + -1, + -1, + 725970171, + -1, + 927495304, + 976858327, + -1, + 729785784, + 760266201, + 533113581, + -1, + -1, + 600779481, + 74974853, + 782478560, + 284939303, + 995835914, + -1, + -1, + 210485793, + 151748642, + 435158305, + -1, + 330413958, + -1, + -1, + 365330819, + -1, + 694336616, + 188581819, + 669229518, + 699221095, + -1, + 313718483, + 275474209, + 654555209, + 99826111, + 57699615, + 791776756, + 656192704, + 41671527, + 448028588, + -1, + -1, + -1, + 408252114, + -1, + -1, + 25257195, + 164317005, + 58026318, + -1, + 641032423, + 641953711, + 60406157, + 267210231, + 339628063, + 280397607, + 729323254, + 104015990, + 562605296, + -1, + 600153418, + -1, + -1, + 973797965, + 494711440, + 557102746, + 483574896, + 724819157, + -1, + 806956931, + 841720793, + -1, + 564626318, + 598007937, + 31538957, + 194608277, + -1, + 587421950, + 596091490, + 74410139, + 969971789, + 179549532, + 709838869, + 985357430, + 996691924, + 837108027, + 268133849, + 119337402, + 321964713, + 77289448, + 927011334, + -1, + 55095935, + 592260914, + 271624761, + 812161753, + 810677469, + 495188974, + 404295672, + -1, + 65570760, + 647637521, + -1, + 539855783, + 98981438, + -1, + 416715754, + 130438443, + 35809293, + -1, + -1, + 415969034, + -1, + -1, + 188800817, + 275205525, + 306581937, + -1, + 716640235, + 146635938, + 115219408, + 542247984, + -1, + 796802227, + -1, + -1, + 355805116, + 223461934, + 533762232, + 577751344, + 34324544, + 896027823, + 401339164, + 434722597, + 504419334, + 319619002, + 212241294, + 303377257, + 806115735, + 814975864, + 555845263, + 343678580, + -1, + 13884300, + -1, + 824787491, + 976070082, + 847098745, + -1, + -1, + 539045364, + 320856884, + 919729242, + -1, + 712378571, + -1, + -1, + 445396945, + 132775703, + 470540349, + 558381554, + 132246424, + 272530490, + -1, + 814271646, + 923847553, + -1, + 794514908, + 404300332, + 25824149, + 671805464, + -1, + 741697195, + 393274797, + -1, + 511053274, + -1, + 396790862, + 706781901, + -1, + 440699438, + -1, + 186683515, + 139229532, + 772255207, + 314611053, + 847413316, + 887868413, + 972208465, + -1, + -1, + -1, + -1, + -1, + 767212885, + 43950078, + 604373791, + -1, + 702692221, + 390596530, + 651699187, + -1, + 399843754, + 774061818, + 409096510, + 568760766, + -1, + 683489805, + 851416209, + -1, + 329546286, + 900300280, + 992076375, + -1, + 924806062, + 133361643, + 161105957, + 710273610, + -1, + -1, + 555186147, + -1, + 737129038, + 285861908, + 258024738, + 157613272, + -1, + 776955617, + -1, + 487271295, + -1, + 340277942, + 63622248, + -1, + 257701302, + -1, + 435171945, + 494007955, + 833625219, + -1, + 381299150, + 6041679, + 377540657, + -1, + 219000396, + 578786984, + 579724057, + 866057131, + 223213587, + 840822700, + 141017285, + 638096159, + 727062252, + 803278479, + 138651843, + 338013212, + -1, + 414610811, + 736436807, + 573873941, + 781140181, + 490737992, + -1, + 533060736, + -1, + 863319495, + 95485043, + 7226393, + -1, + 140271876, + 115348277, + 540982035, + 144478961, + 201609788, + 179046844, + 339657601, + 494753202, + 492425178, + -1, + 266783553, + -1, + 51925954, + 537318394, + 584909105, + 944834484, + 282074468, + 938028537, + 472855164, + 848956401, + 481231761, + 483561052, + 932155647, + -1, + 377832718, + -1, + 767569269, + 547218636, + 297726206, + 922917870, + 456144717, + 846868074, + 687593200, + 48633008, + -1, + 942411585, + 792579001, + -1, + -1, + -1, + 516039366, + 831774756, + 537478094, + -1, + 112686619, + 434987652, + 101683590, + -1, + 538178108, + 674836566, + 588106043, + 610976558, + -1, + 986828563, + -1, + 555177062, + -1, + -1, + -1, + 275367086, + 831368392, + 459660392, + -1, + -1, + 57956756, + -1, + -1, + 727958744, + 508074367, + -1, + 291020074, + -1, + -1, + 209296388, + -1, + -1, + -1, + 637760401, + 45617847, + 437281038, + 687425837, + 57605826, + 343270097, + -1, + -1, + 962151804, + 494663442, + 843563292, + -1, + -1, + 208170383, + -1, + 75013042, + -1, + 735417038, + 940177623, + 548434291, + -1, + -1, + 507790281, + 766268792, + 823563117, + 85644107, + -1, + 196414122, + 198424438, + 736493762, + 107957458, + 200761384, + 897771491, + -1, + 671803053, + -1, + -1, + -1, + 250534881, + 564677953, + -1, + 875399858, + 478068594, + 148910448, + -1, + 20082524, + -1, + -1, + 372319635, + 16489037, + 449170258, + -1, + -1, + 905846439, + 476275910, + -1, + -1, + 647181954, + -1, + 52237688, + -1, + -1, + 270353576, + 424398370, + 311586290, + -1, + -1, + 758961385, + 179585530, + -1, + -1, + 443604172, + 189444193, + -1, + -1, + 983855492, + 910063598, + -1, + 287712134, + 423642448, + -1, + -1, + 819423094, + 645835299, + 9421018, + -1, + -1, + 8673199, + 166374605, + 462196689, + 604315373, + 891778701, + -1, + 354605997, + 52005724, + 929429957, + -1, + 666541525, + 821713239, + 589517371, + -1, + 668239553, + 969380824, + 365082119, + -1, + 702027023, + 347601320, + -1, + -1, + -1, + 668510902, + 330455340, + 967355621, + -1, + 286728395, + 505057714, + 413550942, + 528523295, + 349297886, + -1, + 939226446, + 975220722, + 301123192, + -1, + 565248824, + 908393944, + 99609540, + -1, + -1, + 913481298, + 707413454, + 807160680, + -1, + 376654297, + 728887070, + 832239729, + 556089673, + 891166594, + 361427253, + 82074386, + 310468212, + 770276998, + 893018681, + 217057790, + 761587068, + -1, + 237225667, + -1, + -1, + -1, + 180220600, + 680868047, + 377155143, + 413256755, + 893189910, + 412636068, + 662958217, + 212287912, + 805574853, + -1, + -1, + -1, + 767947310, + -1, + 955494548, + -1, + 161140093, + -1, + 880706446, + -1, + 290999722, + 118848347, + 63697301, + 580613872, + -1, + 187108187, + 675750566, + -1, + 935716812, + 949230906, + 268941214, + 532432924, + 898796406, + -1, + 730298621, + 70444558, + 79872711, + -1, + 335889123, + 318625655, + 263544623, + 247456157, + 682352057, + 98209354, + -1, + 345573524, + 580344967, + 738942400, + 24086910, + 133302108, + 442606383, + 660861546, + 91081031, + 964795567, + -1, + -1, + -1, + 331171388, + 870150641, + 942008675, + 560813501, + 486517996, + 92052220, + 237359005, + -1, + 960821024, + 493181803, + 787414469, + 447061212, + 102449887, + -1, + 552283478, + 932856483, + 174560098, + 69876653, + -1, + 404576904, + -1, + 90859429, + 575692722, + 240382181, + 228218049, + -1, + 379115930, + 441734460, + 372973758, + 261588036, + 458439464, + -1, + 530492, + 231720015, + 658824252, + 319815897, + 14416185, + -1, + -1, + -1, + -1, + 550398287, + -1, + 580847706, + 237572568, + 927833798, + 191141500, + 979986118, + 317060049, + -1, + 291926150, + 490870945, + 683826057, + 280709953, + 846449256, + 74476486, + 627523608, + 559165341, + 265347695, + -1, + -1, + 898336788, + -1, + 164957019, + -1, + 96067098, + 445636243, + 694252208, + -1, + 392316127, + -1, + -1, + -1, + 886669004, + -1, + 26727468, + -1, + 967844603, + 924983, + 9633307, + -1, + -1, + -1, + 158528806, + -1, + 101719990, + 207739461, + -1, + 954456881, + -1, + -1, + -1, + 775396862, + -1, + -1, + 198762371, + 928783905, + 705418058, + -1, + -1, + -1, + 791451423, + 790492512, + 843866992, + -1, + 301535434, + 742061054, + 691028157, + 730607642, + 21407992, + 816073016, + 318946382, + -1, + 874514371, + -1, + 792158104, + 30357196, + 609342728, + 342515666, + -1, + 514574697, + 221085491, + 699944967, + -1, + 100545673, + 478644767, + 211620523, + -1, + 453097546, + 702031476, + 969151514, + 894116467, + -1, + -1, + -1, + -1, + -1, + 578769048, + 637823365, + 713559579, + 311306790, + 793769631, + 82747902, + 145465586, + -1, + 716203505, + 818609192, + 274621909, + -1, + 256512715, + 662469608, + 193698045, + -1, + 229484264, + -1, + -1, + 582411921, + 916043099, + -1, + 435848358, + 140866464, + 115714647, + 553735684, + 958118525, + 638969844, + -1, + 153161683, + 662989827, + 374694501, + -1, + -1, + 101074469, + 178864533, + 873917273, + 167733979, + -1, + 67436414, + 853945238, + -1, + 852612959, + -1, + -1, + 844715974, + 540924831, + 625774421, + -1, + -1, + 546766112, + 753584194, + 647290782, + -1, + -1, + -1, + -1, + 45107781, + 238270809, + 985992539, + 431685046, + 132250473, + 288552193, + -1, + 15492, + -1, + -1, + 623108339, + -1, + 973867669, + -1, + -1, + 796579211, + 103556138, + -1, + 562731202, + 161013802, + 891091006, + 206958955, + -1, + 11787885, + 918428025, + 730841238, + -1, + -1, + 415747095, + -1, + -1, + 427836073, + 325682475, + 357562339, + 68846600, + 853029493, + -1, + -1, + 25171583, + 651849744, + -1, + 654353014, + 167463595, + -1, + 798826870, + 713103150, + 248800493, + -1, + 490931928, + 775318177, + 506827189, + 566026222, + 744155962, + -1, + 769533086, + 233479338, + 603749313, + -1, + 116038041, + -1, + 957285094, + 804074272, + -1, + -1, + 179150217, + -1, + 666812605, + -1, + 821276624, + 155808672, + -1, + 379501584, + 745675874, + 656889962, + 694306565, + -1, + -1, + -1, + 985855332, + 243954768, + -1, + 633000448, + 884385952, + 506658835, + 786376895, + 17786177, + -1, + 392694744, + -1, + 437262893, + -1, + 94651004, + 673194195, + -1, + -1, + -1, + -1, + 513901770, + 636759265, + 368970486, + 170847310, + 480244653, + -1, + 711006163, + 743582266, + 53158613, + -1, + -1, + 329310827, + 827899690, + -1, + -1, + 403100618, + 187215269, + 947655836, + 347272255, + 170334677, + 935000008, + 138446834, + 280135455, + 849060001, + -1, + 338598264, + 121832676, + -1, + 456648509, + 396342746, + 3820541, + -1, + 657352160, + 858301374, + -1, + 602229055, + 332016473, + 211857210, + 633271417, + -1, + -1, + -1, + 829567318, + -1, + 303471740, + 199796774, + 346847825, + -1, + -1, + 552227594, + 654702845, + -1, + 451168790, + 429501731, + 197538760, + 404108799, + 837953362, + 976074327, + -1, + 886668524, + 472080598, + 627794944, + 489436062, + 656966415, + -1, + 23903118, + 540281413, + 764267797, + 38606641, + 942177279, + 72383441, + 112678364, + -1, + 245042477, + 285122548, + 419047752, + 805653718, + 871147871, + 129913772, + 726345236, + 480605894, + 684563442, + -1, + 795710684, + 218004419, + 393281886, + 162911929, + -1, + -1, + 168548611, + 48390255, + 321582091, + 737538053, + 20882539, + 766190171, + 399046754, + 222957198, + 649702055, + 135344177, + -1, + 4159348, + 881014735, + 74063202, + 621518019, + 608633554, + 788470700, + 395641568, + -1, + 850761745, + 596041062, + -1, + -1, + 939870700, + 984243227, + 546634837, + -1, + -1, + -1, + 820794486, + 93179679, + 905282640, + 737116168, + 70475374, + 673782072, + 581977451, + 904838513, + 592850373, + 583977479, + 894108586, + -1, + 186526976, + -1, + 49893474, + 47888366, + 361864881, + 78642031, + 792402822, + -1, + -1, + -1, + -1, + 737140021, + 841845249, + 810861709, + 734730817, + -1, + 686530766, + 479186455, + 783223970, + 706533691, + -1, + 998632435, + 127791497, + 965676756, + 300359237, + -1, + 210854666, + 951385675, + -1, + 235370901, + 886592881, + -1, + 244630027, + -1, + 678133327, + 651457894, + -1, + 671882748, + -1, + -1, + 241204840, + 117825981, + -1, + -1, + -1, + 883364100, + 762125423, + -1, + 60421091, + 109260125, + 208424647, + 424649487, + 863278582, + 176566305, + 529364060, + 708640912, + -1, + -1, + -1, + -1, + -1, + 434195407, + 832528275, + -1, + 839865304, + 92797230, + -1, + 148300080, + 277300978, + 48679063, + 807540620, + -1, + 109268080, + -1, + 593615948, + -1, + 218003968, + 343604941, + 338393515, + 882665647, + 792858887, + 752830294, + 722532678, + 354228598, + 404178862, + 996681297, + 969561642, + 75640387, + -1, + -1, + 513635244, + 791378487, + 623308384, + -1, + 541992193, + 29729022, + 984009395, + 277543897, + -1, + 790219570, + -1, + 404990394, + 61150138, + -1, + 573035338, + 966722268, + 587480784, + 752657317, + 573830114, + 289494473, + 810831793, + -1, + -1, + 34901151, + -1, + 178206194, + -1, + 37803260, + 419439760, + 347487800, + 186480026, + 765844057, + 389715313, + -1, + 741987853, + 104639921, + 977143366, + 746719595, + 482331710, + -1, + 686304397, + 817934100, + 67887465, + 367495666, + 614926167, + 293272543, + -1, + -1, + -1, + 904271248, + 486591660, + 815282328, + -1, + -1, + 336382013, + -1, + 904613708, + 951751987, + 698438111, + 957250072, + 605283387, + 685505685, + -1, + -1, + 960126422, + -1, + 303023092, + 401212071, + 393051313, + 864071024, + -1, + 434408279, + -1, + 43053590, + 218226476, + -1, + 879061131, + -1, + 894935046, + 227799864, + 676424545, + 307311826, + 665388096, + -1, + -1, + 446172347, + 633230754, + 433256548, + 205979511, + 590518628, + -1, + 99281401, + 717159646, + 165748420, + -1, + -1, + 39963713, + 570573695, + -1, + 752124041, + 809375944, + 619519723, + 978202430, + 961727928, + 657152955, + 116925188, + 997343317, + 957638548, + -1, + 758764775, + 533437240, + -1, + 733321828, + -1, + 86572910, + 921774067, + 626904972, + -1, + 67054267, + 595578371, + -1, + 105729272, + 410945576, + 282239375, + 744436088, + 976856493, + 197761056, + 348018922, + -1, + 435880039, + 612640650, + 605322059, + -1, + 883162163, + -1, + 863475968, + 548109436, + 113309885, + -1, + -1, + 667670299, + 296328047, + -1, + 764876462, + 718204340, + 362519936, + 454877935, + 892864460, + -1, + 866850687, + -1, + -1, + -1, + 142274884, + 309953853, + -1, + 947519160, + 693846723, + -1, + 137398862, + -1, + 296934906, + -1, + 809185029, + 514745234, + -1, + 735293325, + -1, + -1, + 733126228, + 887702067, + 692186487, + 770511488, + 470913307, + -1, + 754507996, + 919094988, + 72929954, + 159394441, + 815900947, + 551598065, + 236366455, + 126325504, + 885932914, + -1, + 228728149, + -1, + -1, + 846784325, + 700057342, + -1, + 514541948, + -1, + -1, + -1, + -1, + -1, + 184728582, + 180516012, + 301879718, + 623554533, + 315747902, + 444767174, + 991611100, + 356255930, + 882539803, + 289886317, + -1, + 252186963, + 411877378, + 745572601, + -1, + 961165111, + 775899996, + 525094101, + 133757442, + 865685546, + 407657813, + 493778099, + 773486001, + -1, + 408227730, + 212742971, + 421420512, + 926772384, + -1, + -1, + 367062422, + 778354028, + 451221445, + 609185817, + -1, + 491514991, + -1, + 588205044, + -1, + 932641511, + 398768535, + 468179875, + -1, + 56305315, + 679231935, + 851674676, + -1, + 919357765, + -1, + -1, + -1, + 746714398, + 180522631, + 437586174, + 432547454, + 425609406, + 943256140, + 619660912, + 957495806, + -1, + -1, + -1, + 778803672, + 639640666, + 136990605, + 85141328, + 119762027, + -1, + 328796980, + 240130497, + 115936234, + 148659372, + -1, + 174247179, + 134234617, + 155318791, + 306267965, + 175407510, + 452867349, + -1, + 360793557, + -1, + 605141255, + 278957408, + -1, + 434920791, + 408746799, + 772770903, + -1, + 420967077, + -1, + -1, + 473269996, + 705113248, + 831759742, + -1, + 489416984, + -1, + 810617772, + -1, + 207799668, + -1, + 685121265, + 82927047, + 965313883, + 861702073, + 369010519, + 856759821, + -1, + 886941984, + 717964102, + -1, + 418313356, + -1, + -1, + -1, + 166751558, + -1, + 240751501, + 818521988, + -1, + 962267438, + 449704568, + 477242962, + 835602099, + 992629887, + -1, + 367064071, + -1, + 873335370, + 928209240, + -1, + -1, + 321605495, + -1, + -1, + 976902462, + -1, + -1, + 322236629, + -1, + 554508738, + 788887143, + 688853273, + 528228514, + 42436143, + 785133454, + -1, + -1, + 865806425, + 470423542, + -1, + 983581945, + 212901528, + 723854471, + 901808563, + 588691158, + 229400091, + 401716600, + 761595066, + 274647404, + 87507117, + 516358343, + 337919097, + 802089657, + 342119946, + 887657580, + 597233474, + 889782117, + 33489928, + 331089970, + -1, + 714434035, + -1, + 851800746, + 87056576, + 437300289, + 313731084, + 505397549, + -1, + 604644581, + 505469088, + -1, + -1, + 805030632, + 903335393, + -1, + -1, + 782296615, + 893453158, + -1, + 651965977, + -1, + -1, + -1, + -1, + 526743715, + 88738567, + -1, + 269449761, + -1, + 977429687, + 175343460, + 787171381, + 336751241, + 225688418, + 562237519, + 179436279, + 645168199, + 301085117, + 624503795, + 557576729, + 200478000, + -1, + -1, + 866497571, + 611706168, + -1, + 46175796, + -1, + -1, + 123573362, + 415977763, + 139752127, + 524245497, + 789985983, + -1, + -1, + -1, + 917962562, + 87343132, + -1, + 206246025, + -1, + 982333360, + 442193729, + 980690277, + 976997775, + 521352515, + -1, + -1, + 271487004, + 658026014, + 218806524, + 494926821, + 48556830, + 451908934, + 321056247, + 694178042, + 482246793, + 554808809, + 495432878, + 346255841, + -1, + -1, + 227071436, + -1, + 796014611, + 754407696, + 139377562, + 6285975, + 991820966, + 82661627, + -1, + 318513508, + 315076422, + -1, + -1, + -1, + 981394661, + 307122007, + 715435907, + -1, + -1, + -1, + 836868947, + 263021669, + 443002040, + 576938768, + 949298527, + 593921151, + 456483816, + 902625978, + -1, + 408367615, + -1, + 889884909, + 996190283, + -1, + -1, + 149247344, + 243821228, + 454510841, + 708789396, + 815163132, + 846243086, + -1, + 222015715, + 48706154, + 804221220, + 473520289, + 525534292, + 37377923, + 474313499, + 215939049, + -1, + -1, + 157977532, + 546476438, + -1, + 330936652, + 356234054, + 235305400, + -1, + 924589412, + 769117496, + 578915196, + 862060644, + 222711695, + 110118341, + 749772133, + -1, + 168195441, + 15378578, + -1, + 616744386, + 91825760, + -1, + -1, + 413641032, + 559452328, + 976861738, + 819044744, + 809829110, + 323744952, + 690223544, + -1, + 869437760, + -1, + 396403041, + -1, + 901350815, + -1, + 599013881, + -1, + 247349228, + -1, + 86873232, + -1, + 369524542, + 297594811, + -1, + -1, + 559002999, + 566491945, + 106447665, + 511995890, + -1, + 954840659, + 510215924, + 971278207, + 286011537, + 563713853, + 227048491, + -1, + -1, + -1, + 153591853, + -1, + 415989632, + 508665374, + -1, + 936535095, + 485505672, + 984447739, + 928426372, + 248320113, + -1, + -1, + 127123066, + -1, + 666693108, + -1, + 605132983, + -1, + 399310770, + 174598597, + 200103056, + 572072945, + 203856781, + 297648629, + 597408716, + 715347253, + 665713330, + 645674790, + 473911517, + 503519439, + 87616069, + -1, + 192776633, + -1, + -1, + 981106130, + -1, + -1, + 791181880, + -1, + -1, + 722946620, + -1, + -1, + -1, + -1, + 144381529, + -1, + 606353037, + 333969515, + -1, + 880392543, + 416881353, + 515581527, + 158725092, + 836720612, + 214596989, + 176277857, + 707807316, + 587421993, + 707208441, + 24728135, + 976719384, + -1, + 522997305, + 251926664, + 770426746, + 80999827, + 703435083, + 630245836, + -1, + -1, + 129653997, + 34917496, + -1, + -1, + 934121513, + 514312705, + 734338680, + 900915490, + 73751095, + 292260219, + 794759726, + 989898333, + 165781210, + -1, + 245223353, + -1, + 491630035, + -1, + 979031415, + -1, + 972577067, + -1, + 759204717, + 901283764, + -1, + 829653327, + 751058313, + 429075191, + 143502719, + 599627047, + 566331236, + -1, + 613466375, + 137423933, + 369272134, + 489334591, + 607001181, + 907092177, + 71969364, + 172543493, + 42507931, + 727222302, + -1, + 562620898, + -1, + 502165859, + 657721976, + -1, + 91479481, + 684025567, + 610484132, + -1, + 59205310, + 989160479, + 469495347, + -1, + -1, + -1, + -1, + -1, + -1, + 801140634, + 627930805, + 649625066, + 68244099, + 980300927, + -1, + 3643213, + 987781658, + -1, + 673663264, + 180508619, + 261251312, + 42609522, + -1, + 725990008, + 41246823, + 225553776, + 522161154, + -1, + 900820718, + 239057995, + 232619880, + 713806718, + 519918384, + 152486138, + -1, + 882848216, + 628483944, + -1, + 795209013, + 390729574, + 718895810, + -1, + 552258526, + 23978791, + 770578779, + 603039327, + 110333930, + 173056729, + 70721990, + 521763455, + 361657201, + 858587003, + 513161499, + -1, + 279826014, + 19481713, + 753304170, + -1, + 754561650, + 145082087, + 901840923, + -1, + 51378841, + 340636101, + -1, + -1, + -1, + -1, + 825872439, + 720084344, + -1, + 455859087, + 356902468, + 442635299, + 385359823, + 486373521, + 656511104, + 449756517, + 855103415, + 749930943, + 469864065, + 981956859, + 588645177, + 928771750, + -1, + 762217478, + 759463904, + 367744378, + 775138622, + 763145512, + 491462644, + 775225780, + 449100209, + 31537218, + 403816187, + -1, + 650107728, + 870487060, + 34661732, + -1, + 910858390, + 879642021, + 206695528, + 989569272, + -1, + 28862063, + -1, + -1, + 476958384, + -1, + -1, + 494049326, + 147293363, + 148181955, + 220930892, + 793782260, + 396616564, + 465406675, + 285651621, + -1, + 781422235, + -1, + 310801272, + 736500385, + 96406155, + 708101547, + 314909964, + -1, + 648538399, + -1, + -1, + 790434502, + 15914106, + 209471121, + 689107106, + -1, + 560155883, + 428207750, + 809332743, + -1, + -1, + 915119383, + 711843576, + -1, + 286301658, + -1, + 393003294, + -1, + 101287060, + -1, + 813276243, + -1, + -1, + -1, + -1, + 725751530, + 772546286, + 193018570, + -1, + 792049834, + 327570331, + 835428986, + 258458630, + 666130561, + 903125128, + 353266099, + 815818549, + -1, + 638969920, + 199955324, + 318898752, + 381564175, + 505814302, + 735571065, + -1, + 859763156, + -1, + 54814748, + -1, + 781157430, + -1, + 730608763, + 133174216, + -1, + 591087310, + -1, + -1, + 588026405, + -1, + 27744836, + 186434577, + 480363724, + 674981258, + -1, + 672028516, + 519311358, + 822521991, + -1, + -1, + 750085314, + 396058031, + 495048341, + -1, + 533931428, + 272266147, + 308560461, + 108300255, + 74346621, + 388937272, + 548966217, + -1, + 57652188, + 721385876, + 145112808, + 500018044, + 26666044, + 162341469, + 745555176, + -1, + 682531792, + 558217508, + 361742165, + 844133048, + 377870345, + 130742254, + -1, + 381218165, + -1, + 26502607, + -1, + -1, + -1, + 532782887, + 753914122, + -1, + -1, + 914711678, + -1, + 494463584, + 216409873, + 328633858, + 131269315, + 972577611, + 94902972, + -1, + -1, + 3501445, + 53727643, + 354436330, + -1, + 100221149, + 319369129, + 206298131, + 773873544, + 641540053, + 800653875, + 447825285, + -1, + 871438309, + -1, + 553966276, + -1, + 312315234, + 691367298, + 569695276, + 691914001, + -1, + -1, + 621246605, + 523219607, + 643043182, + -1, + 370524005, + 141022090, + 299684839, + -1, + 333758008, + 138046913, + 566685337, + 316885671, + -1, + -1, + -1, + 636514501, + 820636138, + 404307493, + -1, + 847683407, + 654954070, + -1, + 172462523, + 822298948, + 379268348, + 138067057, + 218799515, + -1, + 391044506, + 801252061, + 810044311, + 271688174, + -1, + 142234863, + -1, + 532204358, + 539189401, + 63667097, + 626453855, + -1, + 38176932, + 359805898, + 307377817, + -1, + 803466150, + 549250540, + -1, + -1, + -1, + 342825727, + -1, + 105331097, + 995392598, + 59268145, + 169242738, + 741077066, + 259762702, + 179472822, + 803983366, + 318640893, + 520331941, + 379731402, + 630948295, + 214141218, + 952908542, + -1, + 689647210, + 319520556, + 499290403, + 883931051, + -1, + 772459353, + -1, + -1, + 370224010, + -1, + 916057038, + 817900808, + 586054198, + 20850526, + -1, + -1, + -1, + 583925895, + -1, + 10176830, + 846549202, + -1, + 569951786, + -1, + 911694534, + 182517724, + -1, + 587630948, + -1, + 999574034, + 92723613, + 796168945, + 839612802, + -1, + 857206075, + -1, + 316561554, + 711460728, + -1, + 47462102, + -1, + 886638677, + 465599388, + 519237298, + -1, + -1, + 89331489, + 74911478, + -1, + 892443516, + 496867920, + 109651052, + 192666735, + 206125284, + -1, + -1, + -1, + 434447857, + 579513121, + -1, + 61585924, + 338281094, + -1, + 383506828, + 413456855, + 903085219, + 562948307, + 591681364, + 986043500, + 591476097, + 188005025, + 20172196, + 544191452, + -1, + 544583980, + 490471124, + 467450341, + -1, + 859594240, + 344256105, + -1, + 625714430, + 799254978, + 206486893, + 642132861, + 854422440, + -1, + -1, + 696807224, + 149935384, + 459508849, + 117290825, + 986063233, + -1, + -1, + 98519028, + 104793922, + -1, + -1, + -1, + 720000842, + 41605708, + -1, + -1, + 732573079, + 485961064, + 495414424, + -1, + 882663361, + 371155615, + -1, + -1, + 76191665, + 235319209, + -1, + 312119513, + 506322868, + 952718096, + 747067762, + 201003698, + 582831142, + 100527394, + 391131017, + 854008886, + 800077630, + -1, + 699054535, + 425218721, + 343740176, + 817317032, + 543502015, + -1, + -1, + 747169742, + 104327516, + 521394255, + 880714117, + -1, + 472974325, + 450639054, + 313080168, + 965854390, + -1, + -1, + 799990475, + 578831245, + 599759389, + 569963296, + 433194518, + -1, + 884226523, + 359171266, + 731125072, + 158546039, + 718853227, + -1, + 504330508, + -1, + 780967397, + -1, + -1, + -1, + -1, + 560310487, + 424156478, + -1, + 866778717, + -1, + 58375483, + 238872712, + 483382494, + 729081890, + -1, + 387901356, + 960587856, + 449838660, + 481182398, + 145978289, + 101837976, + 760740515, + 830400729, + 653878546, + 301602341, + -1, + -1, + 23415668, + 464888852, + 791951309, + 761772416, + 274110937, + 352124608, + 414430652, + 316986636, + 218220132, + 85669977, + 966876894, + 677334024, + 168277271, + 208785175, + 440432600, + 862823522, + -1, + 82407755, + 573944498, + -1, + 289956473, + 95507861, + -1, + 244120938, + 966952585, + -1, + 139080542, + 422622775, + -1, + 606616668, + -1, + 800988089, + 890600096, + 359864340, + 822322957, + -1, + 409835533, + -1, + 211020712, + 873123459, + 78144281, + 476033783, + 840871391, + 99884276, + -1, + 550740127, + -1, + 533787833, + -1, + 368894835, + 342461998, + 490714602, + -1, + 454519779, + 752642497, + 925809268, + 775941920, + -1, + 479747277, + -1, + 940925293, + 502612016, + 85690246, + 625914183, + -1, + 654796717, + 236001958, + 60853469, + -1, + -1, + 839640262, + 242674291, + 383360866, + -1, + -1, + 589789576, + 40869868, + 457695615, + 459507341, + 891794223, + 523910750, + -1, + 447307089, + 266415087, + 638684684, + 589302225, + 696940088, + 604718115, + 670666978, + 696389258, + 944678833, + 591939141, + 738357663, + 194098796, + 223727264, + 118169159, + 837788472, + -1, + 522616973, + -1, + 961770442, + -1, + 946860408, + -1, + -1, + -1, + -1, + 641972211, + 681570541, + 946138208, + 120278107, + -1, + 878505679, + -1, + 115740873, + 196354340, + 540441244, + -1, + -1, + 887275020, + 212325178, + 948820463, + 178185216, + -1, + 786389907, + 120666266, + 807000952, + -1, + 956979505, + 870504663, + 62987452, + 890342844, + 271842796, + 691318516, + 23152416, + -1, + 984720199, + 643378000, + -1, + 451958450, + 115831767, + -1, + -1, + -1, + 409530138, + 403345539, + 443546967, + 62290414, + 659368713, + 657493820, + 441925056, + 492882521, + -1, + 335147196, + 267191444, + -1, + 164228040, + -1, + 15900138, + 993842503, + 989657758, + 327012772, + 827524426, + 271347782, + 501063024, + 212272163, + 934338887, + 962184220, + 302275481, + 814208064, + 976883740, + -1, + 66087880, + 656230724, + 232302422, + 96421315, + -1, + 997131001, + 407218284, + 110796976, + -1, + 208953715, + -1, + 922171274, + 942261865, + -1, + 252604013, + 918385050, + 811390208, + -1, + 834766009, + 210002347, + 700246234, + 584989620, + 693229814, + -1, + 515686337, + 626813979, + 412939999, + -1, + -1, + -1, + 849959620, + 987423064, + 21728763, + 26125154, + 876961042, + 973742232, + -1, + 553736194, + 909308501, + 545284248, + 855912368, + 18214472, + -1, + -1, + 940043302, + -1, + -1, + -1, + 367591006, + 579902121, + 455512353, + -1, + -1, + 784911618, + -1, + 715126624, + 19400937, + 690486218, + 442988032, + 418760236, + 495300853, + -1, + 233771691, + -1, + -1, + 423221676, + 256731323, + 219074464, + 671527196, + 749399508, + 738754642, + 324159903, + 767347550, + 203290397, + 996807143, + 886683101, + 206157876, + 610132108, + 317561529, + -1, + -1, + 568489030, + 332870714, + -1, + -1, + -1, + 138708122, + 779871795, + -1, + 566683594, + 222578646, + -1, + -1, + 228828941, + -1, + 833304503, + 412086762, + -1, + 464879265, + 895401016, + 993197234, + -1, + 987375641, + 937908008, + 402163227, + 911024322, + -1, + 395260630, + -1, + 649958778, + 539042135, + 589979453, + -1, + 189865511, + 350281509, + 319051320, + 11508461, + 912444589, + 727244852, + -1, + 412776688, + -1, + 766224022, + -1, + 852370279, + 75793852, + 422308927, + 273421073, + 648432832, + -1, + 308281113, + 999281181, + 197939351, + 53240059, + 716949855, + 394128916, + -1, + 136697805, + -1, + 621012454, + -1, + 278777477, + 557861080, + 802763734, + 855586043, + 412914721, + 947374930, + -1, + 733804317, + 114651705, + 57936559, + 60684317, + 19671699, + 179444953, + 147711495, + -1, + 910793883, + 686939527, + 727157373, + -1, + 433294599, + 425098868, + 829851042, + -1, + 48641381, + -1, + 947716656, + -1, + -1, + 967016708, + -1, + 935918819, + -1, + 84206157, + -1, + 42378715, + 953359404, + -1, + -1, + -1, + 930411216, + 24730348, + 363454375, + 860717422, + 88594312, + 204707944, + 704855017, + -1, + 41935641, + 657639064, + -1, + -1, + 312398395, + 559007492, + 68961705, + 19169283, + 13312572, + 796587635, + -1, + 257102852, + 869799928, + -1, + 788304852, + -1, + 90152276, + 639739825, + -1, + 326369917, + 850565778, + -1, + -1, + -1, + 187519066, + 224274859, + -1, + -1, + 974287577, + -1, + 987246166, + 870622134, + 609739023, + -1, + -1, + 663538647, + 220085115, + 675393210, + -1, + 812668850, + 817781628, + -1, + 708172763, + 717014792, + -1, + 16989171, + 663827285, + -1, + -1, + 629828067, + -1, + 886836074, + 357754883, + 646656923, + 738728299, + -1, + -1, + 337915060, + 376545247, + -1, + 726937348, + 307757182, + 803727617, + 53325162, + 685744416, + 355563624, + 354693511, + 813558597, + 737434489, + 714233531, + 437674793, + 427323637, + 151580944, + 519152669, + 734838339, + -1, + -1, + -1, + 732772155, + 419050186, + 680037958, + 934518151, + 99801493, + 695113299, + 300641674, + 552308795, + -1, + 937690457, + 918748499, + 814650278, + 673872508, + -1, + 799674779, + -1, + 463516188, + 588259401, + 957913457, + -1, + -1, + 826754513, + -1, + 40909531, + -1, + -1, + -1, + 282731509, + 44983730, + 153970797, + 874954722, + 444853704, + 732746348, + -1, + 176421115, + -1, + 539981874, + 455934030, + 335390425, + 185963179, + 203685217, + 441325088, + 28666359, + 608771556, + 17843804, + 751063155, + -1, + 513320511, + -1, + 792588284, + 860875065, + -1, + -1, + -1, + -1, + 949332107, + -1, + -1, + -1, + 399794165, + -1, + 674877850, + -1, + 191938461, + 98091389, + -1, + -1, + -1, + 860796078, + 364494271, + 553259721, + 410280650, + 301654817, + 547581495, + 257296020, + 495977823, + 759302091, + -1, + -1, + -1, + 593748099, + 365864162, + 289625392, + 605127757, + 737418232, + 539960693, + -1, + -1, + 66920681, + 837047917, + 392157480, + 464272364, + 423794331, + -1, + -1, + -1, + 187190456, + -1, + 424195390, + 874111185, + 676194691, + 344500724, + 922480712, + 965523652, + 424810353, + -1, + -1, + -1, + -1, + 67239649, + 543688304, + -1, + 513350034, + 816305813, + 636381437, + -1, + 6166404, + -1, + 816994972, + 465457138, + -1, + -1, + 83667622, + 425527452, + 527184892, + 779840781, + -1, + -1, + 352016952, + 140395949, + 549548213, + 884656338, + 422750647, + -1, + 760758096, + 266168345, + 487839102, + -1, + -1, + 716874743, + 257558563, + 63948036, + 475449469, + -1, + 473409236, + -1, + -1, + -1, + -1, + 210201716, + -1, + -1, + 870411097, + -1, + 610278908, + -1, + 665377116, + 841528749, + 99990235, + 244684163, + 553965727, + 392299124, + 586461507, + 298876915, + 363008379, + 975192140, + 873334251, + 393237374, + -1, + -1, + 311955088, + -1, + -1, + 588509832, + -1, + 833014287, + 679291436, + 851822982, + 26774997, + -1, + 745801588, + 987129903, + -1, + 297401784, + -1, + -1, + -1, + 771349537, + -1, + 757407269, + 662086552, + 897633575, + -1, + -1, + 482132015, + 926320856, + 641782464, + -1, + 228474897, + -1, + -1, + -1, + 541913377, + 882893513, + 421929750, + 931609040, + 707703773, + 940793290, + 167561935, + 996640485, + 121412484, + 40705517, + -1, + 557527794, + -1, + 968629866, + 557471295, + 759148780, + 267281390, + 583610012, + 440413566, + 201395741, + 85610441, + 653472035, + 33861051, + 995045490, + -1, + 624910874, + 172146951, + 892483423, + -1, + 801764488, + -1, + 844821810, + 89979156, + 602001468, + -1, + 393122025, + 990506588, + -1, + -1, + 749583683, + 310208313, + -1, + 74786559, + 485906191, + 78044998, + 630927028, + -1, + 835115747, + 270004604, + 91609012, + 741268892, + 203324569, + 662073472, + -1, + 915542725, + -1, + 961585803, + 538953983, + -1, + -1, + 498364786, + 502712024, + 44713855, + 230017505, + -1, + 391221662, + 293194734, + 69207400, + 632540798, + 996653452, + 24986592, + -1, + -1, + 871463061, + -1, + 700764929, + 7997422, + 739629526, + -1, + -1, + -1, + -1, + 650746317, + 294594932, + -1, + -1, + 213116621, + 793957902, + 171146833, + 165606047, + -1, + 443727133, + 780567776, + 293303759, + 135749881, + 798433111, + 52903648, + 859905486, + 339284217, + -1, + -1, + -1, + 701967906, + -1, + 230493648, + 460070238, + 278141414, + -1, + -1, + 767130252, + -1, + 418410391, + 398884723, + 526215276, + -1, + -1, + -1, + -1, + 253975481, + 420099159, + 164842665, + -1, + -1, + 275268672, + 814048664, + 630692871, + 526937073, + 414055482, + 167062810, + 440797639, + -1, + -1, + -1, + 555172709, + 666808022, + 455953130, + 811969021, + 922977323, + 189942012, + -1, + 379211455, + 280157941, + 721594071, + 641527424, + -1, + -1, + 444102188, + -1, + -1, + 792903025, + -1, + 278896212, + 600973794, + 883148067, + -1, + -1, + 800693109, + 979426935, + 390929315, + 99457588, + 336211530, + 460171287, + 279490686, + -1, + 503446164, + -1, + 697231410, + -1, + 166468899, + 538632898, + 101841049, + 5762898, + -1, + -1, + 669596783, + 730729350, + 372785083, + 454484442, + 570869150, + 531655206, + 569636474, + -1, + -1, + 659204220, + -1, + 441803711, + 804100328, + 943294491, + 653946834, + 968029772, + 45143895, + -1, + 911629038, + 787378622, + 428254538, + 965938096, + -1, + 938970468, + -1, + 323444425, + 426390703, + 932382852, + 205238275, + 282468499, + 758901305, + 210722322, + -1, + 920424325, + -1, + -1, + 315584611, + 389767208, + 155739096, + -1, + 365119, + 556287072, + -1, + -1, + 890101938, + -1, + 179032549, + 697199331, + -1, + 391543014, + 841533276, + 945359008, + 88578486, + 461312051, + -1, + 323062922, + 966068279, + 51974254, + 140634849, + -1, + 826579552, + 217284761, + -1, + 557116500, + -1, + 514109632, + 173337968, + 932542590, + -1, + 447857656, + 62537128, + 3138979, + 784284295, + 694552258, + 865334877, + 328341018, + -1, + 645934116, + -1, + 19018470, + 383214023, + -1, + 687434665, + 114850014, + 422755564, + 939924930, + 227002444, + -1, + 296428423, + 743533410, + -1, + 207743358, + 990477631, + 488106666, + -1, + -1, + 777074106, + 83365230, + -1, + -1, + 31443927, + -1, + -1, + -1, + -1, + 436334156, + 733890380, + 792079691, + -1, + 431374525, + -1, + 271729512, + -1, + 32358220, + 995262145, + 753725951, + -1, + 175108931, + 866489676, + 3677551, + 882310182, + 745010756, + 680770265, + 539502727, + 675601022, + -1, + 42389089, + 776663980, + 155483529, + 594348442, + 670791095, + -1, + 656047837, + 302804700, + 93324102, + -1, + 414406521, + -1, + 453710272, + 344422167, + 499245618, + 4118405, + 813339185, + 340887165, + 813007893, + 486484589, + 51679463, + -1, + 620206742, + 625755411, + 142240947, + 356913125, + 935307134, + 951407775, + -1, + -1, + 318051972, + -1, + 929457321, + -1, + 452708528, + 224021237, + -1, + -1, + 229733804, + 911561463, + -1, + -1, + -1, + 92737112, + 589792856, + -1, + 809987768, + 423366499, + 378546554, + -1, + 876619608, + -1, + 735140001, + -1, + 990097349, + -1, + 688109241, + 349511251, + -1, + 641344926, + 238268378, + -1, + -1, + 523125639, + 941052707, + 725971469, + -1, + 18788517, + 986802351, + 901367492, + -1, + 66595464, + -1, + -1, + 509927789, + 142621715, + 400980388, + -1, + -1, + 903008759, + 953026222, + -1, + 411660508, + 988357899, + 372317134, + 77548863, + 192085804, + -1, + 135319035, + 895412555, + 27028072, + 258598757, + 878483506, + 939012510, + 837529471, + 239270467, + 757770791, + 444233335, + 428927619, + 110416289, + 553017895, + -1, + 984754683, + 860193527, + -1, + 168133631, + 844265549, + 487254725, + -1, + 433860613, + 157301569, + -1, + 482631519, + -1, + 856236495, + -1, + 777972132, + -1, + 843358087, + 913238572, + 543853293, + 239377648, + -1, + 979169387, + -1, + -1, + 261549576, + 26815461, + 279881540, + 718520664, + 474609899, + 40532889, + 243680789, + 15892701, + 389155341, + -1, + 705416234, + 363616631, + 6664309, + -1, + 349704775, + 996798578, + 363362237, + 492228353, + 514145532, + -1, + 500833766, + -1, + 802373281, + 748623089, + -1, + 888556719, + -1, + -1, + -1, + 533983445, + 635467549, + 355485884, + 470972267, + 272251495, + -1, + 274062437, + 117897763, + 674350527, + 612347845, + 236366711, + 170284128, + 899744240, + 313874145, + 859667488, + 651552392, + 155016826, + 597580497, + 563512373, + 951803486, + 513995846, + 799642158, + 837313773, + 567046536, + 100229529, + 996264473, + 653098713, + 783243589, + 494218099, + 399939608, + 897345434, + -1, + -1, + 642663256, + 423580359, + 177686743, + 320414454, + 596187618, + 708522513, + 750500953, + 530795441, + 146534683, + -1, + 698747402, + 852907677, + -1, + -1, + 604432881, + 495068184, + 598667108, + -1, + 414086847, + 795672283, + 49007193, + 736482794, + 666514364, + 871073880, + 912203256, + -1, + 289373261, + 239067404, + -1, + 767334772, + -1, + -1, + 587489596, + -1, + 660579840, + 892274040, + 239849895, + 845975104, + 338514247, + 133233927, + 825656877, + 411222842, + -1, + -1, + -1, + 892055484, + 220208174, + 984700520, + 307478925, + 914316280, + -1, + 482109450, + -1, + 890126416, + 98605596, + 878199790, + -1, + 310023570, + 922461728, + 872268063, + 411953421, + 651037935, + -1, + -1, + -1, + 662298572, + -1, + 462889259, + 84987346, + -1, + 534997678, + 811035664, + -1, + 750027869, + -1, + 6689888, + 267691842, + 688543992, + 234438468, + -1, + 790479637, + 980260459, + 910855437, + 29038569, + -1, + 291014475, + 692612793, + 446206578, + 283676467, + -1, + 444628140, + 544931163, + 302220968, + -1, + -1, + -1, + 738748830, + -1, + -1, + -1, + 739527642, + 917909729, + 713226285, + 252213126, + 144900788, + 995769714, + 152494194, + -1, + -1, + -1, + 540204355, + 253543796, + 853973636, + 377480923, + 277267323, + -1, + -1, + 251897362, + -1, + -1, + -1, + 481846215, + -1, + 696959609, + 693332597, + -1, + 560539330, + -1, + 270604654, + -1, + 307471877, + -1, + -1, + 6115823, + -1, + 399942059, + 106346296, + -1, + 942455039, + 203789846, + 540379240, + -1, + 70818048, + 327168296, + 989024398, + 687257373, + 904327430, + 450573755, + 895746535, + 504301881, + 34690372, + 32632247, + -1, + 167493439, + -1, + 41304404, + 149525993, + 134263603, + 136903365, + 31811083, + 105403149, + -1, + 680569359, + 21618506, + -1, + 504755821, + 29781042, + -1, + 983030955, + 391129806, + 689608469, + -1, + 907853797, + 340164375, + 944295805, + 490979455, + 689726398, + 528888526, + 943683137, + -1, + -1, + -1, + 31138938, + -1, + 309381513, + 697772326, + 887272605, + 893690286, + 633731223, + 583766311, + 147512770, + 476841009, + 603651720, + 147278242, + 47516815, + 279895364, + -1, + -1, + -1, + -1, + 967563443, + 254081707, + 367616939, + 192758181, + 519709663, + 807107165, + 493976847, + 983747294, + 26353926, + 399838190, + 171434870, + -1, + -1, + 848450718, + 461965208, + 349943345, + -1, + -1, + 473119091, + -1, + -1, + 111280162, + 318661369, + 453166189, + -1, + 259974553, + 102403382, + 865083573, + 545896486, + 680538868, + 200098526, + -1, + 547687990, + 485252675, + 491732094, + 600696076, + 214677231, + -1, + 553250438, + 28646276, + -1, + 704516459, + 529957801, + 15181149, + 272027889, + 692908942, + -1, + 412808650, + 298906980, + -1, + 684294561, + 15822995, + 424954953, + 466277865, + 544027691, + 683641897, + 88885861, + -1, + 897974223, + 737979733, + -1, + 130344929, + 36859053, + 471536840, + -1, + -1, + 194934917, + 999527701, + 319532796, + 208049059, + 797112852, + 498392292, + 961633246, + -1, + 729575513, + 680650577, + 666630000, + 341837936, + 298660464, + 918153, + 943801107, + -1, + -1, + 484643359, + 684775163, + 114324794, + -1, + 105138440, + 577316744, + -1, + 129208777, + 715500503, + 939863344, + -1, + 506693342, + -1, + 216133898, + 855592716, + 817525634, + 653230058, + 368762877, + 304623252, + 607292242, + 154079642, + 550640921, + -1, + -1, + 668364258, + 612234897, + -1, + -1, + 671021587, + -1, + 436754763, + 243267615, + 765189770, + 773935386, + -1, + -1, + 878488686, + -1, + 991977120, + 677483633, + 47136662, + 957347760, + 812237155, + 334263182, + 102334332, + 566514218, + 255974666, + 425666000, + 51630270, + -1, + 656996401, + -1, + 791625372, + 641928044, + -1, + 414218718, + -1, + 621577336, + -1, + 83295451, + 758353033, + -1, + 309604725, + 212001610, + 405778860, + 289071577, + 477328736, + -1, + -1, + 357474036, + -1, + 925086553, + -1, + 171281647, + -1, + 761965585, + -1, + 201114747, + -1, + 957956899, + 776485366, + 554965165, + 286104274, + 679236795, + -1, + 708341596, + 646716961, + 604899083, + 886708115, + -1, + 114264423, + 612274403, + 182442429, + 351988871, + 414558844, + 17003154, + 50078484, + 210405463, + 804454110, + 805546407, + 694750641, + -1, + -1, + 502985839, + 597351170, + -1, + -1, + 343001939, + -1, + -1, + -1, + 504064576, + 434728818, + 520461644, + 37935933, + 282425682, + 958239249, + 978379566, + 43810883, + 561227256, + -1, + 343629164, + -1, + -1, + -1, + 332750678, + 447574142, + 907066209, + 195574296, + -1, + -1, + -1, + -1, + 294450355, + 699071670, + 194185216, + 641188620, + 631797773, + 277685503, + -1, + 403507689, + 986818474, + 69747889, + 473473526, + 470959393, + 360190542, + 451714103, + -1, + -1, + -1, + 543961220, + 755163997, + -1, + 493609659, + 141689202, + 108457379, + 699406512, + -1, + 211354816, + 615774753, + 568863917, + 295612894, + -1, + -1, + -1, + 715206818, + 357285672, + -1, + 154529566, + 927555185, + 547316708, + 551677307, + -1, + 174480675, + -1, + 818677528, + 41751920, + 6000014, + -1, + -1, + -1, + 405347993, + 842738732, + 500287573, + 179351751, + 607704583, + -1, + 956373625, + 642583470, + 353430438, + 162155692, + 526029182, + 316863032, + -1, + 467470833, + 946915411, + 610744840, + 774780479, + 977608087, + 156155196, + 650488880, + -1, + 164189631, + 217854691, + -1, + 997320690, + 614574895, + 254780974, + -1, + 309227579, + 639230895, + 199213217, + -1, + -1, + -1, + -1, + 697831934, + 860492092, + 453650399, + 358173489, + 133460684, + -1, + -1, + -1, + -1, + 881826959, + -1, + 820671558, + 586472387, + 727531635, + 194161283, + -1, + 529575910, + 176642413, + 312844918, + -1, + 589241921, + 631983132, + 463416151, + 437429546, + -1, + -1, + 866125496, + 681144595, + 778191354, + -1, + 601492280, + 93717950, + 482847868, + 463519539, + 318137151, + 430207842, + 281246904, + -1, + 478276265, + -1, + 711146004, + 921844048, + 349827401, + 116190909, + -1, + -1, + -1, + -1, + 842629411, + 549908284, + 451758675, + 877826275, + 570437323, + 860796807, + -1, + -1, + -1, + 302470385, + -1, + -1, + 887983229, + 598914430, + 719792351, + 660886496, + 33948385, + -1, + -1, + 427524244, + 45102084, + -1, + 455426211, + 421114150, + -1, + -1, + 443383418, + 378770385, + -1, + 135978416, + 245748326, + 187359849, + -1, + 486022692, + 318289534, + 125390809, + 69857203, + 25058362, + -1, + 766461906, + -1, + 976223138, + 4684459, + 453627255, + 872071869, + 126216716, + 364141080, + -1, + 992037147, + 141826191, + -1, + 316071733, + 179847009, + 810475857, + -1, + 273039111, + 308910572, + 231642104, + 337517041, + -1, + 155125049, + -1, + 600525673, + 758976691, + -1, + 49782056, + 590409846, + -1, + 354472458, + -1, + 875366913, + 64945307, + 978536178, + 697655617, + 120203030, + -1, + 609193867, + 708853977, + -1, + 303784422, + -1, + -1, + 830251448, + 568811911, + -1, + 284713824, + 272651706, + -1, + -1, + 658253863, + -1, + 927622249, + -1, + 968324186, + 1403201, + -1, + 362456803, + 319826904, + -1, + 211352864, + 559531723, + -1, + 11370018, + -1, + 789316897, + -1, + 668790604, + -1, + 864583689, + 603421127, + -1, + 145672631, + -1, + 460975976, + 409330636, + 805711855, + 490720300, + 464206263, + -1, + 466205338, + 585804494, + -1, + 619429202, + 592475152, + 327582975, + 551196640, + -1, + 243584821, + 978446527, + 247516231, + 393088502, + 621593460, + 173447224, + 43638152, + 641673381, + 980425680, + -1, + -1, + 673607077, + 975948261, + -1, + -1, + -1, + 473805632, + 116349237, + 484434771, + -1, + 329765985, + 88784307, + 431980626, + 216043449, + 739480300, + -1, + 922348909, + 746206387, + 587703436, + -1, + 939441231, + 782790775, + -1, + 686588892, + -1, + -1, + 207688476, + 59169114, + 134608190, + 48221131, + 607429524, + -1, + -1, + 278917537, + 898330940, + 993446820, + 315577225, + 402280734, + -1, + -1, + -1, + 684285932, + 478187749, + 235945150, + 783340909, + 826573186, + 408894692, + -1, + -1, + -1, + 807161471, + -1, + 42032270, + 870045110, + -1, + 489048837, + -1, + 970093037, + 81241536, + -1, + -1, + 831574887, + 332343973, + -1, + 503084744, + 206572946, + 186377366, + 796083674, + -1, + 448923558, + 520366970, + 461582949, + -1, + 653899827, + 19726262, + 579930304, + 686055013, + 37767214, + 153806321, + 931041384, + 15595130, + 3889706, + -1, + 365061222, + 897524109, + -1, + -1, + 391007194, + 897825390, + 535363840, + -1, + 95115988, + -1, + 93831408, + -1, + 616531622, + 463670345, + -1, + 331166092, + -1, + 246923370, + -1, + 398232455, + 22482337, + 316921160, + 671332159, + 71125217, + 816337387, + 457542486, + -1, + 495886697, + 177620880, + -1, + -1, + 806462891, + -1, + -1, + 887562964, + 332137979, + 78935512, + -1, + 930995464, + 539514724, + 369643239, + 188770044, + 256303329, + -1, + -1, + 791720240, + 453392123, + 375000015, + 173078021, + 888020680, + 863478930, + 788051406, + 52001919, + 413365678, + 361889051, + -1, + 496816243, + -1, + 327720017, + 877696620, + 536704318, + 555016787, + 571560647, + 353102921, + 667582956, + 428897556, + 901899031, + 53159027, + -1, + -1, + -1, + 735912378, + 729845629, + 408145771, + 801031894, + -1, + -1, + 728859162, + 954197013, + 246693192, + 379790584, + 980162698, + 879761112, + 777311278, + 959433115, + -1, + -1, + -1, + 963638459, + 353363621, + 739793628, + 585013791, + 561525907, + -1, + 845872229, + -1, + 354627321, + 401858592, + 874558214, + 455954397, + -1, + 506973269, + -1, + 881093219, + 57747246, + 709545335, + 850373284, + 759935972, + 200555901, + 181186290, + -1, + 278448190, + -1, + 392752910, + -1, + 27128147, + 730423526, + -1, + -1, + 721130136, + 166526198, + 309237882, + -1, + 921651476, + 576443859, + -1, + -1, + 509887142, + 18453346, + 533924202, + 98464334, + 880537317, + 963920087, + 937396264, + 997242462, + -1, + 657092967, + -1, + -1, + -1, + 837831240, + 119774584, + 895924112, + 640408725, + 503285923, + 457274293, + 747360084, + 882391682, + -1, + -1, + 7618878, + -1, + 987627845, + 593989626, + 172641370, + 626822934, + 968264978, + 823797533, + 988863123, + 388768786, + 678933827, + 165069258, + -1, + -1, + 919774451, + 811176763, + -1, + -1, + 330000358, + 502201335, + 194552024, + -1, + 85629327, + 828502525, + 99294293, + 332764433, + -1, + -1, + 149892973, + 528043549, + 162790537, + -1, + 775664816, + 763470579, + 503857253, + 893675678, + -1, + 148612297, + -1, + 257041729, + -1, + -1, + 381395939, + 864888864, + 491875039, + -1, + 537280033, + 426798964, + -1, + 449953228, + 769093000, + -1, + 674943196, + -1, + 559081162, + 695867843, + 212669599, + -1, + -1, + -1, + -1, + -1, + -1, + 734218728, + 724519544, + -1, + -1, + 175349730, + 21731392, + -1, + 863197797, + 325944825, + 608564296, + 36480139, + 146614935, + 400949691, + 57023610, + -1, + -1, + 83868090, + 293964108, + -1, + -1, + 762764984, + 690522920, + 385140912, + 874989640, + -1, + -1, + -1, + 991301661, + -1, + 502238895, + 629645706, + 155216874, + 55521714, + 872724958, + 930201153, + -1, + 422995424, + 862405929, + -1, + 439940306, + -1, + 977928331, + 565115368, + 557563692, + 860059892, + 994847905, + -1, + -1, + 361970584, + 203117573, + -1, + 782619324, + -1, + 60701327, + 199229772, + 476307152, + 284033864, + 509176290, + -1, + -1, + -1, + 475090244, + 780558135, + 393007617, + 696716379, + -1, + -1, + 543584819, + 542514013, + 171746353, + -1, + 262559307, + 26234127, + 542861314, + 743935740, + 390817425, + 702034109, + 175842565, + -1, + 943018639, + -1, + 390352991, + -1, + -1, + 399511011, + 120878007, + 807859626, + 190399848, + 545820105, + -1, + 854664302, + 621328743, + -1, + -1, + 55296706, + -1, + 693057531, + 506453122, + 224515409, + 603016188, + 711004952, + 673628402, + -1, + -1, + 841062269, + 589286485, + -1, + 610146296, + -1, + -1, + 536391312, + -1, + 490967935, + 709320640, + 954527802, + -1, + 671070019, + 736444090, + -1, + 414136235, + -1, + 283233371, + 924166548, + 677947984, + -1, + -1, + -1, + 378979444, + 770951009, + 292274323, + 50456827, + 935864905, + 356105628, + 1773339, + -1, + -1, + -1, + 243178765, + 522297606, + 678553657, + -1, + 708545631, + -1, + 403346788, + 321473672, + 875638021, + -1, + 913875004, + -1, + 489882795, + 453253374, + 692522242, + 360220014, + 829230471, + 809093883, + 929975790, + 291070927, + 903404424, + 988346785, + -1, + -1, + 210035113, + 472117521, + 223272404, + -1, + 858270291, + 731950486, + -1, + 631880571, + -1, + 92851925, + 613379760, + 931671364, + 570760713, + 451182856, + 257824645, + 920202134, + -1, + 440392088, + 495982572, + 643431524, + 888149369, + 11093686, + 597521692, + -1, + 199359914, + 499981867, + 959533568, + 208342379, + 279521219, + 642466725, + -1, + -1, + -1, + 478878692, + 684583095, + -1, + 19353139, + -1, + 417925419, + 981868231, + -1, + 811367801, + 444406137, + 475051598, + 489274749, + 203089676, + 567522132, + -1, + 94187804, + -1, + 736211649, + 736369568, + 702429328, + 324063852, + 877256751, + -1, + -1, + -1, + 171644621, + 995198672, + 950682784, + -1, + 795175754, + 4102139, + -1, + 667064561, + 774555512, + 905495816, + 542140970, + 640341230, + 386019959, + 161453409, + 483836109, + -1, + 671716308, + -1, + 277915169, + 48997209, + 484267821, + 259866140, + 430600886, + 280476650, + -1, + 759038491, + 387951539, + 933604289, + -1, + 73238826, + 319756986, + -1, + -1, + 648095691, + 930296537, + -1, + 170417353, + 555239235, + 243103345, + 892256288, + 363836312, + -1, + 227798552, + -1, + 547515465, + -1, + 176407877, + -1, + -1, + 556483253, + 959708793, + 857963051, + 770868185, + -1, + 493301830, + -1, + -1, + 383306470, + -1, + -1, + -1, + -1, + 81317926, + -1, + 651209990, + 975170149, + -1, + 215041335, + -1, + -1, + 17400268, + 351722758, + 939673647, + -1, + 476801074, + 897977153, + 669644855, + 937700692, + 551726340, + 164948096, + 431620005, + -1, + -1, + 175277605, + -1, + 987006667, + 141401623, + 466260517, + 859809015, + 506139031, + 825777739, + 1557956, + 48642975, + 779708123, + 18561202, + 159067071, + 779464859, + 927203156, + -1, + 375047440, + -1, + 761428328, + 657307022, + 758595164, + -1, + -1, + 342825867, + -1, + -1, + 669498482, + 490914928, + 259588320, + -1, + 889853740, + -1, + 739824640, + 323096568, + 654824644, + 83259751, + 624375899, + 574830580, + 230636412, + 551885875, + 487662382, + 808987716, + 196856448, + 892754072, + 811367706, + 834892432, + 751563246, + -1, + 301530656, + -1, + -1, + -1, + 214996794, + -1, + 958948936, + 276448608, + -1, + 868664077, + 406276064, + 665250512, + 723118821, + 674064604, + 82517973, + 313373011, + -1, + 613641382, + -1, + 628124677, + 697078643, + -1, + 847100218, + 397343506, + 544572631, + 600157718, + 791947071, + -1, + 878644303, + 103054713, + 980971590, + 886525263, + 170860462, + -1, + 970987528, + 603287577, + -1, + 462740449, + 787413752, + 782481083, + 260991414, + 19768323, + -1, + 250278626, + -1, + 469764251, + -1, + -1, + 197409310, + -1, + 389618352, + 745010699, + 518304111, + -1, + 197928470, + 410467311, + 598027419, + -1, + -1, + 443895492, + 201491612, + 347417694, + -1, + 618439889, + -1, + 411056292, + -1, + -1, + 683492900, + 647558220, + -1, + -1, + 174362489, + 622880855, + -1, + 223712852, + 896489111, + -1, + 712920340, + -1, + 449176248, + 184030350, + -1, + 91200513, + 375725077, + 879189086, + 248249122, + 438048027, + -1, + 222507711, + 198298770, + -1, + -1, + -1, + 287096014, + -1, + 551345341, + 792936184, + -1, + -1, + -1, + 10780684, + -1, + 111868866, + 475854193, + 166861540, + -1, + -1, + 465764348, + -1, + 935842463, + 45117769, + -1, + 829738585, + 8547485, + 616439015, + 360373830, + 492270205, + -1, + 417080176, + 397729237, + -1, + 27283611, + -1, + 696078462, + -1, + -1, + 909114078, + 235274061, + -1, + 596465442, + 302434444, + 67738706, + 48069042, + -1, + -1, + -1, + -1, + 745925657, + 68607840, + 19603192, + 899255914, + -1, + 977365743, + 568528315, + -1, + 544414439, + 886596797, + -1, + 868459881, + 376147602, + 900804330, + -1, + -1, + 445658793, + 17945382, + 955529302, + 999994137, + 767970808, + 357750595, + 500089086, + -1, + 423123038, + 90194620, + -1, + 158686015, + 821131462, + 686675580, + 196464596, + -1, + -1, + -1, + 25599617, + 940387115, + 576924436, + -1, + 393928169, + 698716378, + 41364384, + 1631373, + 268375815, + 915863216, + -1, + -1, + -1, + -1, + -1, + 386039364, + 966109269, + 620106430, + 617261883, + 88165514, + 845477642, + -1, + 545919065, + 583617409, + 405831783, + 567407160, + 610061002, + 774837600, + 700522057, + 944237732, + 811294982, + 372757663, + 975725434, + 861964339, + 429745433, + 500809547, + 946452003, + 75871636, + -1, + 632328592, + -1, + 387464518, + 52417232, + 648153242, + -1, + 73647172, + 681175760, + 417577290, + 650312456, + 62597800, + 351884271, + 705396085, + -1, + -1, + 555416541, + -1, + 232905285, + 615751600, + 881570832, + 14849566, + 37634835, + 860819683, + 615856879, + 27527201, + 2846626, + 201036160, + 502115235, + 770702476, + 498964314, + 629531985, + 297802193, + 200961330, + 733562266, + 911154145, + 491085589, + 726818964, + 280195491, + 185902019, + -1, + 74293367, + 230691431, + 730793859, + 16145406, + 105128991, + 329982570, + 632949465, + 108485006, + 738634166, + 637986566, + 314052822, + 373857721, + 397686850, + 309979642, + 200834663, + -1, + 70002299, + 102091087, + 4888821, + 955593295, + -1, + 122879980, + -1, + 693644846, + -1, + 250569416, + 489726802, + 144347174, + 157443567, + 299405214, + 577173110, + 418749031, + 187478198, + 566055983, + 413712586, + -1, + -1, + -1, + -1, + 956563514, + 359063165, + 997948692, + 119999426, + 527463590, + 205850667, + -1, + -1, + -1, + -1, + -1, + 979924315, + 633732784, + 181408013, + 281768709, + 135442050, + 193292668, + 311428740, + 357298700, + -1, + 4311243, + 505922531, + -1, + -1, + 13772446, + 732773693, + 997599973, + -1, + 663483247, + 186384554, + 319965606, + -1, + 291179313, + 949098404, + 523438940, + 40178022, + 328544580, + 731971439, + 440264586, + 164340196, + 133907493, + -1, + 352064785, + 25751627, + -1, + 372410489, + -1, + 190235752, + 758024790, + -1, + -1, + 830774850, + 577264565, + 564138880, + 435407228, + 835088695, + 632932337, + 870639277, + 217833879, + -1, + 831157048, + 606342747, + 752731677, + 141135957, + 201051023, + -1, + -1, + -1, + 310186234, + 849166524, + 809546384, + -1, + -1, + 615903124, + 210276540, + -1, + 144996575, + -1, + -1, + 479882883, + 468592758, + 59830571, + 150626749, + 306865801, + 6887572, + 937668408, + 142496019, + 53445605, + 874446544, + 288143362, + 453223321, + -1, + 880741979, + -1, + -1, + 706758266, + 475485253, + 997268727, + 416676760, + 227180488, + 567951232, + 24259569, + 171814071, + 839633192, + 258303658, + -1, + 477813673, + 736343780, + 204010958, + 22434473, + 771020754, + 582689666, + -1, + 136687693, + -1, + 787619526, + 455336167, + 15169840, + 429403837, + -1, + 819625992, + -1, + -1, + 988459791, + -1, + 952934443, + -1, + 13657111, + 106508748, + -1, + 899250483, + 407750571, + 509199175, + 536302454, + 76924833, + 165003408, + -1, + 724922664, + -1, + 766955732, + 27983649, + -1, + 942911331, + 973056755, + 337222717, + -1, + 696596085, + 496996634, + 954401014, + 932284182, + 394120349, + 397290557, + 288751861, + 220755739, + 300488739, + 538403107, + 282474698, + 714768662, + 721721326, + -1, + -1, + 196198224, + 978887012, + 806793566, + 788380614, + 508583504, + -1, + -1, + 742465470, + -1, + -1, + -1, + 582490990, + 415471238, + 171572251, + 404411385, + -1, + -1, + 489103492, + -1, + -1, + 159793761, + 979975819, + -1, + 352511411, + -1, + 546081915, + 541617805, + 918012858, + -1, + 310715904, + 691879140, + 614468591, + -1, + 771403333, + 669254181, + -1, + 683269650, + 218824368, + 959072184, + -1, + -1, + -1, + 312315207, + -1, + -1, + 164840507, + 997465725, + 531476119, + 481773795, + 520782351, + 495292227, + -1, + 22253240, + 470698231, + -1, + 806345429, + 204110092, + -1, + 616726554, + 558191747, + 977225784, + 522264139, + -1, + 750382318, + 637371054, + 713590265, + 36230300, + -1, + 501448427, + 364690718, + -1, + 135411548, + 546098206, + 214124925, + -1, + 118008759, + 74047000, + -1, + -1, + 372165305, + -1, + 821625105, + 953239302, + 851971547, + 366515667, + 327568212, + 655966121, + -1, + -1, + 128116148, + -1, + -1, + 371922869, + 594219276, + 298054592, + 692970053, + -1, + 275501755, + 776197674, + 460793803, + -1, + 224191108, + -1, + -1, + 288967731, + -1, + 568668919, + 744939044, + 698338179, + 604216559, + 855152253, + -1, + -1, + -1, + 547475708, + -1, + 752439065, + 420468204, + 331929630, + 708713627, + 40941894, + 895579815, + 49977022, + 991016534, + -1, + 202840711, + -1, + -1, + 276283322, + 756649281, + 463283493, + 698907062, + -1, + 736899593, + 837973165, + -1, + -1, + 467560493, + 606842960, + 565884910, + -1, + 293774405, + 503792500, + 816023708, + 589879586, + 615147633, + 352953201, + -1, + -1, + 649405061, + 473172225, + -1, + 441574826, + 358241250, + -1, + -1, + 184525399, + 927626819, + 475931613, + 710033248, + 947238579, + -1, + 393335113, + 91602418, + -1, + 793086473, + 168381247, + 978746078, + 54331816, + 741181364, + 431364542, + 106057586, + -1, + 11352538, + 867212119, + -1, + 169372154, + 794903968, + -1, + -1, + -1, + 356555639, + 996290545, + 310077615, + -1, + -1, + 682030960, + 178343588, + -1, + 511451057, + 196213256, + 412907600, + -1, + 437308880, + 953009370, + -1, + 886790646, + 61818595, + 431007033, + 537564632, + 884499535, + 797177234, + 514697359, + 448224818, + -1, + 107498370, + 739940756, + 896027723, + 655894161, + 97504013, + -1, + 831265645, + -1, + 207201526, + 937984269, + 770104288, + -1, + 29857450, + 855692694, + 259433780, + -1, + -1, + 275627469, + -1, + 47603697, + 871358360, + 21947285, + 254389514, + -1, + 191947545, + -1, + 427104339, + 296951284, + 458906007, + 225168103, + 614671881, + -1, + 394907823, + 661591952, + 5008545, + 276025653, + 465294493, + 828206074, + 539676152, + 663064981, + -1, + 937377246, + 377089121, + -1, + 497781705, + -1, + 300686926, + 81135546, + -1, + -1, + 455057662, + 193697419, + 172210307, + -1, + 323379106, + 875294126, + 213995169, + -1, + -1, + 972430913, + 226057121, + 135855568, + -1, + 566474975, + -1, + 734883943, + 178572078, + 212879030, + -1, + 616057612, + 795600747, + 340485082, + -1, + 921049176, + 444286236, + 580011403, + -1, + -1, + -1, + 894746652, + -1, + 939769905, + 170765376, + 907368062, + 54363410, + -1, + -1, + -1, + -1, + 887548676, + 761407216, + 709694330, + -1, + 750577452, + 354233175, + 847041709, + 136220582, + 961469203, + -1, + 653248061, + -1, + -1, + 204335763, + 73384912, + 563207296, + 150141362, + 768446869, + 668306830, + -1, + 750118432, + 306229010, + 15516090, + 419485253, + 677885468, + 858388820, + 313668712, + -1, + -1, + 692609906, + -1, + -1, + -1, + -1, + 124045897, + 99757231, + -1, + -1, + -1, + -1, + 802918503, + 92966756, + 695497051, + 957147421, + -1, + 574671857, + 627106845, + 852781164, + 135235897, + 951111861, + 46680323, + 802019574, + -1, + -1, + 537078155, + 920646195, + 826837170, + -1, + 185650172, + 794080754, + 946361084, + -1, + 343339322, + 499560113, + 925369760, + 684160041, + 97259027, + -1, + 643030345, + 562041619, + 284229157, + 246171912, + 724504086, + 331579825, + 586303936, + 375965229, + 809570035, + 351553317, + 704733965, + 251962804, + 555569737, + -1, + 358590124, + 385030980, + -1, + 86801790, + -1, + -1, + 146683165, + -1, + 482864148, + 810793061, + 279017286, + -1, + 773724394, + 428607248, + 593882067, + 327228548, + 825919530, + 439211520, + 467399526, + 709030788, + -1, + 398315310, + 214605714, + 913882617, + 736126486, + 301950040, + 849817353, + 640612465, + -1, + 469872603, + 328125876, + 950928033, + 438767319, + 688622303, + 760573112, + 130997814, + 950820798, + 660629126, + -1, + 982026376, + 279903275, + 556681895, + 612167764, + 519977580, + 5761173, + -1, + 176232595, + 707169112, + -1, + -1, + 933873031, + 257470804, + -1, + -1, + -1, + 172432967, + 589485720, + 771609375, + -1, + 497487441, + -1, + 595380131, + 464787010, + -1, + 619527723, + 234664302, + 1995965, + 680806498, + 245294660, + 220103920, + 515148505, + 279987322, + 380305293, + 148199271, + 70548871, + -1, + -1, + 747098575, + -1, + 855849247, + -1, + 189986145, + 442763827, + 354852509, + 943812123, + -1, + 127542480, + 532483932, + 775952714, + 181660231, + 228469236, + 409297398, + 828925586, + -1, + -1, + 321238985, + -1, + 300457155, + 906400992, + 179920281, + 368322912, + 976980137, + -1, + 850773284, + -1, + -1, + 818569647, + 875067986, + 696589703, + -1, + -1, + -1, + 842571375, + 482283192, + 33791832, + -1, + 116035961, + 868121291, + -1, + 43504086, + 913062774, + -1, + 53064868, + 54073486, + 335262812, + 395679133, + 998367843, + -1, + 274892534, + 412561825, + 547487984, + 417894296, + 244643937, + -1, + -1, + 719200422, + 199099757, + -1, + 678349280, + -1, + -1, + 318592789, + 735311369, + -1, + -1, + 132614343, + -1, + 689314305, + -1, + 926267169, + -1, + 811112368, + -1, + 923197238, + -1, + 144806495, + -1, + 419236229, + 85356910, + 361629968, + 62046914, + -1, + 952500575, + -1, + 291268081, + 792552446, + -1, + 419231880, + 521260408, + 718690197, + 956940920, + -1, + -1, + 288357315, + -1, + -1, + 651182276, + 261956055, + -1, + 974586637, + 498997488, + 234272448, + 854924310, + -1, + 410297743, + 384065539, + 247767418, + -1, + 136701075, + -1, + 21798189, + 96855880, + 965582479, + 182653299, + -1, + 326723362, + 669945956, + 135081398, + 31822192, + 404439143, + -1, + -1, + 972730055, + 886948575, + -1, + 665303078, + -1, + -1, + 669092733, + 195128681, + 206735907, + 933891993, + 438919224, + 581288324, + 805659816, + 408167040, + 792295779, + 633279872, + 640470214, + 630418191, + 92792891, + -1, + -1, + 212524373, + 493865420, + 251477335, + -1, + -1, + 824992183, + 292407396, + 94272565, + -1, + 624124718, + -1, + -1, + 542016700, + 233774087, + 309231083, + 663984538, + -1, + 724905782, + 522191430, + 845679465, + 996643734, + -1, + -1, + 549058825, + -1, + 561210369, + 37231692, + 719430106, + -1, + 227548169, + 574973141, + 429643632, + 864792877, + 920355859, + 771976549, + 287356538, + 663542562, + 721230573, + 258835130, + -1, + -1, + -1, + 748413208, + 625687381, + 225493521, + 888245215, + 839314502, + 573321376, + 649472579, + 262070315, + -1, + 594247632, + 146233376, + 228630397, + -1, + 553305776, + 250654855, + 608264136, + -1, + -1, + 46210443, + 320306761, + 504049, + 569962423, + -1, + 576914340, + 555206510, + 215192225, + -1, + -1, + -1, + 416097914, + 750494830, + -1, + -1, + 920680789, + 517074278, + -1, + -1, + 600056299, + -1, + 728569210, + -1, + 215947919, + 893031737, + 930396550, + 573500419, + 248914207, + 481473882, + 164857588, + 184311562, + 171227187, + -1, + 28610432, + -1, + 311144027, + 181031992, + 179567627, + -1, + -1, + 552727921, + 708538849, + 300704657, + 311052944, + -1, + -1, + 582683126, + 323122479, + -1, + -1, + 179988172, + 11601732, + 144222878, + -1, + 975702290, + -1, + 281499846, + -1, + 653968990, + -1, + 418941688, + 163460980, + -1, + 766835061, + -1, + 837661511, + 775113356, + 41691836, + 628801748, + 735482264, + -1, + 340952728, + 136959439, + -1, + -1, + -1, + -1, + 159802684, + 658966021, + 396764231, + -1, + -1, + 192617976, + 89138660, + 259429295, + 235787665, + 192641861, + -1, + -1, + -1, + -1, + -1, + 880851052, + 249201464, + -1, + 329428734, + -1, + 776604175, + 946038188, + 129163887, + -1, + 367627823, + 950822692, + -1, + -1, + -1, + 531828041, + 772678863, + -1, + -1, + -1, + 909208890, + -1, + 679572398, + 722006606, + 709269447, + 737963436, + -1, + 763031530, + 162947712, + 544551018, + 346644641, + 59143584, + 272581943, + 999462951, + 913306559, + -1, + -1, + 758209452, + -1, + 942086312, + -1, + -1, + -1, + -1, + 824269169, + -1, + -1, + 106553941, + -1, + 509751749, + 578919956, + 261919524, + 985521824, + -1, + 141948423, + 907244718, + -1, + 177044170, + 595729088, + -1, + -1, + 89492252, + 661753130, + 536350653, + -1, + 963066975, + 267691587, + 46249776, + -1, + -1, + 493878688, + -1, + 204330053, + 363331895, + 939122881, + -1, + -1, + 225260595, + -1, + 625411133, + 893250378, + 936383253, + -1, + -1, + -1, + 959352474, + 565814496, + 691145380, + 174280673, + 624745799, + 928036172, + 791760392, + 211961801, + 481761805, + 185541087, + 966444189, + 839481832, + -1, + -1, + 514001130, + -1, + 665434998, + -1, + -1, + 367970632, + -1, + 981994008, + 883113784, + 328140244, + 513722842, + 916443102, + -1, + -1, + 341235848, + 946791626, + 24568166, + 34783082, + -1, + -1, + -1, + 47709403, + 599812451, + 74476002, + -1, + -1, + 607186490, + 469993138, + 329315314, + -1, + -1, + 126248791, + -1, + -1, + -1, + 67679496, + -1, + 723230329, + 895020776, + 823620444, + 834295194, + 866941598, + 440699456, + -1, + -1, + 311049598, + 677368221, + -1, + -1, + 647223847, + 717337221, + -1, + -1, + -1, + 262854040, + -1, + 657760901, + 906024795, + 969106957, + 255588432, + 58070974, + 668226489, + -1, + 385321582, + 539461920, + -1, + -1, + 168410188, + 639678366, + 585702037, + 516353305, + -1, + -1, + 98287810, + 90835415, + 972622279, + 84200489, + 746352907, + 328991110, + 941851228, + -1, + 636159687, + -1, + 365637882, + 207808252, + 883334473, + 991288786, + 477215555, + 977724602, + 259767418, + 908107375, + 584748002, + 64319641, + 859167109, + 946167847, + -1, + -1, + -1, + 276565310, + 33413437, + -1, + 372695945, + 914054242, + 514312635, + 287402777, + -1, + 28960446, + 328345613, + -1, + 698722121, + -1, + 193705527, + 416469427, + 550692975, + 337193503, + 172871112, + 992321269, + -1, + 54797413, + 977337863, + 995742163, + -1, + 865671414, + -1, + -1, + 545644934, + 895890239, + 908953258, + -1, + 576502706, + -1, + 569276904, + -1, + -1, + -1, + 592192997, + 169186004, + -1, + 973927032, + 559089146, + 417638057, + 191852541, + -1, + 51912384, + 622635414, + 380149358, + 16364897, + 514565477, + -1, + -1, + -1, + 281469284, + 285900898, + 882398486, + 506227917, + 258661883, + 563903803, + 52405489, + -1, + -1, + 654653533, + 261651231, + 134881875, + 995481856, + -1, + 874452847, + 953829153, + -1, + 300816379, + 44842305, + -1, + 690023523, + 287090744, + 861083232, + 854694763, + -1, + 716821870, + 958391367, + 729650580, + 587738150, + 458943437, + 315330715, + 973821735, + -1, + 913272938, + 560294000, + 527548116, + 986871059, + 958110302, + 925454742, + 506915068, + 202214856, + 43063454, + -1, + 789914907, + 243147514, + 195768296, + 129054348, + 671908247, + 301197510, + 735237479, + -1, + 67250330, + 748091270, + 978410546, + 447244498, + 770745155, + 303632613, + -1, + 963685335, + 495061843, + 715691918, + -1, + 392057865, + 465017719, + -1, + 172689392, + -1, + 848713267, + 217321364, + -1, + 366020084, + 669918769, + 815206167, + 239642277, + 638826641, + 93824779, + 584655681, + 512968757, + -1, + 321609369, + -1, + 696307123, + -1, + 181455730, + 158988620, + 201885599, + -1, + -1, + -1, + -1, + -1, + 295992519, + -1, + 95096867, + 485054082, + 801952624, + 748945566, + -1, + 690240704, + 2769256, + 132418973, + 943249269, + 978551221, + -1, + 782785548, + 423491388, + 747501759, + 666216282, + -1, + 242501525, + 959482601, + -1, + 63922649, + -1, + 696104640, + -1, + -1, + -1, + 96739769, + -1, + 951133347, + 145223463, + 970310202, + 761753812, + 469556842, + 739394503, + 100524987, + 204563287, + -1, + 547020742, + 690928675, + 143259116, + 941755474, + 606778753, + 607959679, + 396789461, + 458207649, + 706865011, + -1, + 183949674, + 796591495, + -1, + 98891745, + 794130180, + 424179712, + 608326308, + 793797059, + -1, + 922879839, + 61089923, + 541129549, + 601109959, + 536302876, + -1, + 606493183, + 705213243, + 557558572, + 281428480, + 922243886, + -1, + 415914517, + 423139085, + 41313443, + 198799675, + 606415074, + 120233973, + 751114913, + -1, + 524182899, + 821248305, + 961247459, + 393774049, + 450040993, + 236662824, + -1, + 209552576, + -1, + 711454364, + 345636101, + 592350399, + 167413969, + 365174773, + 760350938, + 7757538, + 805260404, + -1, + 765359158, + 32768912, + -1, + 990501176, + 190177905, + 983698474, + -1, + 899052873, + 898005154, + 120544385, + 402188071, + 498969902, + 664283895, + -1, + 413853610, + 281120242, + 122570464, + 477770525, + 938868327, + 361848756, + 189309267, + 638092965, + 678181836, + 452342087, + 574527098, + 651093328, + -1, + 130815299, + 985926716, + 643342351, + 610275761, + 259303619, + 713902383, + -1, + -1, + 983971904, + 819520964, + 163726253, + 187043883, + 211003545, + 59498353, + -1, + 188666752, + 144186730, + -1, + 436117137, + 757328948, + 87172028, + 497845353, + 181587371, + -1, + 843879616, + 768538658, + 120427743, + 485348447, + 556151969, + 371882666, + 315721634, + 907463064, + 648577791, + 273403680, + -1, + 823657036, + 826457865, + -1, + 981831269, + -1, + -1, + 89485578, + 644054426, + 774436626, + -1, + 642680574, + 821503057, + 364429175, + 127677847, + 589004966, + -1, + -1, + 810954534, + 173574414, + -1, + 981517224, + -1, + 924983247, + -1, + -1, + -1, + -1, + 361111893, + 855617753, + 892478371, + 289726356, + -1, + 990802136, + 585606657, + 567949897, + -1, + 845065382, + 808345989, + 124827247, + 454826994, + 732493312, + 71343664, + -1, + 752624181, + 675265776, + 554646707, + 156669372, + -1, + 210002236, + 702636994, + 679257733, + 66827834, + 541439176, + -1, + 419713588, + 641213345, + 333506930, + 681875165, + -1, + 847224596, + 857255401, + 604671165, + 129138258, + 654445923, + 25080436, + 505609659, + 516141476, + 161562865, + 594687909, + 942426503, + 589763964, + 891713999, + 618183071, + 605986571, + -1, + -1, + 703531846, + 490690631, + -1, + 94829854, + -1, + 105901586, + 198021771, + -1, + -1, + 293488973, + -1, + 668171993, + -1, + 381240485, + 475677475, + 613560880, + -1, + 396602956, + 823742368, + 365990641, + 762829637, + 260591616, + 700546963, + 376989340, + 732526665, + -1, + 26171685, + 622113849, + 467538707, + 639653176, + -1, + -1, + 588816630, + 578709968, + 399418585, + 832813282, + 132588650, + -1, + 543280047, + 561454764, + -1, + 943914076, + 480001343, + -1, + -1, + 906156791, + 223621345, + 11870374, + 640879076, + -1, + -1, + 741192133, + -1, + -1, + -1, + 835361084, + -1, + -1, + 10628817, + 69520733, + 487722375, + -1, + 683819696, + -1, + 371827457, + 865559631, + 794444147, + 83734000, + 986138151, + 572337908, + 945797793, + 212534459, + 512879843, + -1, + 234228393, + 792909698, + 271499069, + 584420619, + -1, + 487450703, + 79152871, + -1, + -1, + 80888412, + 731685600, + 31271622, + 374386247, + 472929857, + 507716587, + -1, + 408238343, + 577568367, + 993398420, + -1, + 231948510, + 883090254, + 575534277, + 705206877, + 78990170, + 664014003, + 839438559, + 449843792, + 28130350, + 108190041, + 683728160, + -1, + 772583342, + -1, + -1, + 962490641, + 56174246, + -1, + 252437776, + 821204041, + -1, + 35578926, + -1, + -1, + 644104247, + -1, + 897335726, + 291103755, + 356327667, + 362765929, + 588757868, + -1, + -1, + 109678178, + -1, + 999625675, + 641550877, + -1, + -1, + -1, + -1, + 518297936, + -1, + -1, + 294678915, + 644604373, + 23867626, + 514818490, + -1, + 25668999, + 48352892, + 604693047, + -1, + -1, + -1, + -1, + -1, + -1, + 331690254, + 861835210, + 231077616, + 868450901, + 603094951, + -1, + 335915979, + -1, + 828504770, + -1, + 43503609, + 725046142, + -1, + 581611496, + 535298393, + 704051943, + 539255771, + 575162940, + 734738236, + 463006561, + 24118214, + 96483667, + 892669564, + 82015217, + 2786289, + 459014276, + -1, + -1, + 284377711, + 378019061, + -1, + -1, + -1, + 489930559, + 962397327, + 99637899, + 71092059, + 712679536, + 332033172, + -1, + 535230294, + -1, + -1, + -1, + 893527064, + 404144870, + 285210983, + -1, + -1, + 651413037, + -1, + -1, + 535289853, + 425587107, + 397380483, + 48757547, + 822076849, + 184860797, + -1, + -1, + 693575722, + -1, + 835790147, + 998565734, + -1, + 258367766, + -1, + -1, + -1, + 825568662, + -1, + 837309764, + 335323035, + -1, + 13433953, + 657549366, + 426086303, + -1, + 119707515, + -1, + 351693587, + 627786038, + 34459272, + 889669292, + 253314907, + 865783408, + 663795323, + 897515005, + 644940496, + 426462541, + 309448366, + -1, + -1, + 535351277, + -1, + -1, + 452097241, + 110226232, + 664829726, + 170981612, + -1, + 793139234, + 523969510, + 136880508, + 387053992, + 93380734, + -1, + 49578908, + -1, + 235653213, + 875461381, + -1, + 879155444, + 628859078, + 459599987, + 465975874, + -1, + 894248121, + 658185565, + 643657995, + 42787789, + 173772394, + 29822726, + 634817140, + -1, + 45627525, + 63148889, + 624659966, + 927445041, + 640880513, + 224481627, + 834750076, + 510810518, + 743255397, + 453464405, + 84369175, + -1, + 248254121, + 363756744, + 688233690, + -1, + 485331877, + -1, + 208882524, + -1, + 910164428, + 870217312, + 937639620, + 622084018, + -1, + 344832883, + 600444266, + 813567113, + 101230459, + 412043627, + 203012400, + -1, + -1, + 958078951, + 842761595, + 915935908, + 418170575, + 88166417, + -1, + 386277639, + 148402308, + 731718040, + 259519758, + 990038111, + 795449154, + 963826527, + 373656964, + 116417060, + 923369803, + 408716828, + -1, + 995542595, + -1, + 104809336, + 57769034, + 265494322, + 536696327, + -1, + -1, + 801714224, + 692379887, + -1, + -1, + 423360947, + -1, + -1, + 974766031, + 549287678, + -1, + 140506142, + 454170479, + -1, + -1, + -1, + -1, + -1, + 659058688, + 89536612, + 646086229, + 591112663, + 761698255, + 728886250, + 426325953, + 811371381, + 229914596, + 509838165, + 723641366, + -1, + -1, + -1, + -1, + 349422693, + -1, + -1, + -1, + 513879400, + -1, + 154433479, + 360172893, + 931337715, + 99877662, + 609837588, + 255684903, + 921557630, + -1, + 454489024, + 910771050, + 941513960, + 938737624, + -1, + 785369817, + 117059824, + 133274042, + 623146657, + 177211309, + -1, + -1, + 899690084, + 587951215, + 306017970, + 593263919, + 314132493, + 671576940, + -1, + 57113737, + 573741493, + -1, + 385308284, + -1, + -1, + -1, + 173826868, + 130008584, + 634297515, + -1, + -1, + 668924988, + -1, + 550417067, + 872844454, + 539491365, + 401342070, + 554914083, + 333846111, + 851098647, + 18958018, + 811687667, + 512531766, + 698595470, + 453694574, + 214163991, + -1, + 527302, + 305503026, + -1, + 895234959, + 791202193, + 412699079, + 103345316, + -1, + 602822407, + 579515318, + -1, + -1, + 120237157, + 989160966, + 390098680, + 261171372, + 110425818, + 991716386, + 800091397, + 576394477, + 914052968, + -1, + 44778479, + 617390478, + -1, + -1, + 273084928, + 836725293, + -1, + 701579327, + 13581348, + 295736540, + 898803214, + 150574430, + 432589166, + 185889630, + 467117694, + -1, + -1, + -1, + 901147662, + -1, + 64994721, + 994223818, + 23272467, + 850605033, + 351678796, + 722856637, + 458294006, + 802662343, + 317872644, + -1, + -1, + 29439704, + 739077123, + -1, + 162160994, + 152726375, + 762959001, + 155662106, + 229477147, + -1, + 787919191, + 16242841, + 215823272, + 517212043, + 131389381, + 741697088, + -1, + 974190477, + 812240422, + -1, + 742838118, + 143166229, + -1, + -1, + 130730418, + 239183905, + -1, + 492060571, + 130726157, + 932448642, + 114696259, + 439703311, + -1, + 639691552, + 348083912, + 946545330, + -1, + 227112552, + -1, + 29508574, + -1, + 559601257, + -1, + 505177147, + 257307671, + 414501216, + 642730417, + 128909226, + -1, + 974438291, + 692577593, + 801757236, + -1, + 666627114, + 236313857, + -1, + 748919926, + 441533539, + 186703022, + -1, + -1, + 510339898, + 645687807, + 946220067, + -1, + 445052756, + -1, + -1, + 87686447, + 233080918, + 483913094, + 74187570, + -1, + -1, + 269293170, + 994252496, + 126277738, + 119033905, + 727907822, + -1, + 517996666, + 99098430, + 640269290, + 252912694, + -1, + 490289384, + 489238265, + 397125347, + 219588435, + 853678286, + -1, + 623653632, + 482359872, + 833509213, + 461557, + 49325721, + -1, + 458059279, + 515795568, + 881928835, + 989531689, + -1, + 327048937, + 873439435, + 696496621, + 26979024, + 451405541, + 962114797, + 952434368, + 710909213, + 234979679, + 470173715, + -1, + -1, + -1, + 519637304, + -1, + 722470267, + 68975869, + 113499873, + 290333541, + 196098029, + 755769064, + -1, + -1, + -1, + 460767585, + 333647529, + -1, + -1, + 323083934, + 575719115, + 956061914, + 859135294, + -1, + 991482423, + -1, + 764111291, + -1, + -1, + 409601819, + 811447441, + 680052391, + 367188843, + -1, + -1, + -1, + 745349077, + 821539535, + 731344636, + 563604708, + 807505047, + -1, + 923412765, + -1, + -1, + 732476316, + -1, + 166415144, + -1, + 640428188, + -1, + 597896159, + 385293505, + 172866552, + 675504075, + 441815992, + -1, + -1, + 909466231, + 585020182, + -1, + 120229843, + 691501878, + 137867488, + 698707186, + 965858402, + -1, + 677134200, + 550793190, + 328994498, + -1, + 243518625, + 696625499, + 756756, + 722073002, + 512252348, + -1, + -1, + 615117963, + 810032958, + -1, + 342243924, + -1, + 719814779, + -1, + -1, + 568622201, + -1, + -1, + -1, + 213345032, + 222495034, + 216915614, + -1, + 631916269, + 457176521, + 351874420, + 148843651, + -1, + -1, + 798349044, + -1, + 387311706, + 523481421, + -1, + 387324362, + -1, + 324849205, + -1, + -1, + 883470466, + 111591418, + -1, + 891620399, + 741038979, + 16784005, + 833208177, + 66228518, + -1, + 360060561, + -1, + -1, + 987845970, + 935739766, + -1, + -1, + 222012658, + 995506982, + 978492593, + 916323242, + 592721008, + 96103545, + 222395887, + 825641974, + 558388229, + 881878350, + 989001332, + 347694613, + -1, + 303641972, + 785433668, + -1, + 30327063, + -1, + -1, + 789543530, + -1, + 46806747, + 438916298, + 151232745, + 230788060, + 174886225, + -1, + -1, + 923018575, + 71748799, + 214047906, + -1, + 910427253, + 271421876, + -1, + 772165188, + 958214700, + 81340138, + 848512201, + -1, + -1, + -1, + 754915301, + 490893186, + -1, + 554742030, + -1, + 635805787, + -1, + 146593865, + 908592402, + 561295035, + -1, + -1, + 194869288, + 31178601, + 76935231, + 600269184, + 334762924, + 582461651, + -1, + 674791349, + -1, + -1, + 201019530, + 734045379, + 491665558, + -1, + 209998405, + -1, + 248840157, + 844510534, + 826265784, + -1, + 973893555, + -1, + 524114674, + 563137228, + 635653644, + 968330451, + 658536126, + 521097695, + 785159275, + -1, + 997822555, + -1, + 29960738, + 16922140, + 215355868, + 305908043, + 954834694, + 71568676, + 467884297, + 319486530, + 601278885, + -1, + 867120986, + -1, + 960159583, + -1, + 373539181, + 454526351, + 261431145, + -1, + 48774924, + 124634349, + 950525771, + 359332883, + 701628977, + 981539989, + 626013596, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 476308728, + 263217039, + -1, + -1, + -1, + 211310269, + 882027276, + 170171672, + 191671945, + 195479794, + -1, + -1, + -1, + 376612441, + 89789430, + 310581877, + 276384558, + 284816125, + 207937596, + 71276079, + 471597980, + 165027507, + 26596668, + 114844434, + 897986580, + -1, + 355117139, + 728947077, + -1, + 343750243, + -1, + 551501190, + -1, + -1, + 966942706, + -1, + 22579019, + 9561955, + -1, + 314312692, + -1, + 92817200, + -1, + 640252897, + 558811359, + -1, + 308707360, + 107952087, + 580473010, + 412191965, + 72432720, + -1, + 110177496, + 948334199, + -1, + 691070328, + 245350338, + 740409841, + -1, + -1, + -1, + 643765760, + -1, + 299383685, + 11622519, + -1, + 488849958, + 520117679, + 249850486, + 892787130, + -1, + 916067003, + 584338114, + 197808698, + 956300487, + 649505567, + 600231070, + 275070112, + -1, + 22311322, + -1, + -1, + 481140048, + 429766563, + 173028842, + 815510077, + 470359511, + 49130720, + 612763917, + 811714287, + 949339793, + 657621319, + 805365837, + -1, + 836980348, + 442750724, + 45581482, + 837338108, + -1, + -1, + 886710006, + -1, + 990244031, + 451522531, + 128762782, + -1, + 867022446, + 238147562, + 667912537, + -1, + 948395186, + 266340058, + 717045466, + 664464927, + 165681963, + 897775547, + 265044298, + 816878255, + 342080209, + 150349213, + 708188672, + 162758681, + 913739533, + -1, + 745557721, + 227245223, + 767237773, + -1, + 89676717, + -1, + -1, + -1, + 721371278, + -1, + 397684779, + -1, + 509171420, + 21699540, + 350787782, + 953256318, + 930655266, + 11729474, + 32087412, + 490174107, + 586651918, + 398525999, + 640166373, + 943098270, + -1, + 968408447, + 961211753, + 166161225, + -1, + -1, + 741071783, + -1, + 214288386, + -1, + -1, + 619893173, + 228714406, + 598799686, + -1, + -1, + -1, + 734278632, + 279489612, + -1, + -1, + -1, + 621811604, + -1, + 422673068, + 80248562, + 774892618, + 511836454, + 73151954, + -1, + 345053764, + 302297869, + -1, + -1, + 46313322, + 214284685, + 753605648, + 143566599, + 104711172, + -1, + 928532208, + -1, + 830493185, + -1, + -1, + -1, + 562957827, + 815209478, + 737513485, + 472484530, + 767712548, + 317311207, + -1, + 161487361, + 813055662, + -1, + 150644583, + 252624908, + 462240887, + 502061926, + 39158287, + 105508521, + 624418607, + 943875893, + -1, + -1, + -1, + 953596861, + 227499876, + 703004489, + 641105639, + 636565132, + 267892348, + 829840375, + -1, + 50422950, + -1, + -1, + 351570420, + 57909846, + 451160366, + 198118663, + 764639121, + -1, + -1, + 850561151, + 443804725, + 386683284, + 215076469, + -1, + 645041175, + 91077436, + 147828449, + 913352379, + -1, + 465154613, + 95926264, + 115783426, + -1, + -1, + 418188703, + 83913718, + 759567261, + -1, + -1, + -1, + -1, + 142803152, + 684567619, + 304366283, + 685876670, + 870259315, + 263342920, + 741611495, + 852310855, + 272350877, + -1, + 939188894, + 561754322, + 880073735, + 650985580, + -1, + 950543924, + -1, + 512098832, + 69951356, + 716972547, + 805400987, + 147169995, + 904999856, + 462633843, + 203676558, + 948830276, + -1, + 318920416, + 875143868, + 742453524, + 918335952, + 458110550, + 387601608, + 637428824, + 677347574, + -1, + -1, + -1, + -1, + 595246246, + 833675468, + 40304923, + 356393803, + 873343613, + 383772662, + 395884150, + 829557663, + 443938736, + 438635975, + 31905839, + -1, + -1, + 725825587, + 436813920, + -1, + -1, + 212335846, + -1, + 718929554, + 871750679, + 995951525, + 242324498, + 6056723, + -1, + 543477664, + -1, + -1, + 713781434, + 30659634, + 691275914, + 168169128, + 855453098, + 773367782, + 365471361, + -1, + 573824153, + -1, + 137751295, + 946330392, + 468561787, + 525795166, + -1, + -1, + -1, + -1, + 483385098, + -1, + 109754444, + 27501143, + 29495830, + -1, + 943113539, + -1, + 127563500, + 390508578, + 160859918, + -1, + 705572001, + -1, + 486525015, + 406625313, + 611547800, + -1, + 197031190, + 178462355, + 153961538, + 107732340, + 393493406, + 536011497, + 459138397, + 1277658, + -1, + -1, + 830415905, + 254307154, + -1, + 608917184, + 682124532, + 606522873, + 922694234, + 551992982, + -1, + -1, + 214422884, + -1, + -1, + 630293183, + -1, + 371727235, + 820219465, + 242339866, + 843967534, + 427123807, + 108825291, + 632691078, + 603344279, + 130829314, + 441287211, + -1, + -1, + 833078410, + 628984176, + 928872057, + 313531778, + 325670564, + 137015738, + 19694604, + 437848099, + 201182573, + 948836870, + 874064295, + 551467073, + -1, + 959390032, + -1, + -1, + 996287003, + 42734161, + 666283561, + -1, + 338326671, + -1, + 770518808, + 142990989, + 368642994, + 641979608, + -1, + 714800603, + 110242726, + -1, + -1, + 645224886, + 428037128, + 853804743, + 683760385, + 474471375, + 256672151, + 765845560, + 903791883, + -1, + -1, + -1, + 91830113, + 713753412, + -1, + 695768751, + 818685765, + -1, + 602273962, + 623172081, + 219128586, + -1, + 987709245, + 335244723, + -1, + 328549321, + -1, + -1, + 317347270, + -1, + 285163698, + 837086029, + -1, + 419114520, + 268174309, + -1, + -1, + 513200892, + 339399580, + 972155120, + -1, + 639600828, + 115102053, + -1, + 715637548, + 206888650, + -1, + 297544422, + 647548783, + 921615282, + -1, + -1, + -1, + 924493838, + 431642349, + -1, + 205760138, + 615362949, + -1, + -1, + 538745938, + -1, + 642494050, + 891398961, + -1, + -1, + 959773602, + 260621204, + 355708762, + 409125306, + 1790187, + 979349935, + 537697740, + 567803908, + 573562922, + 893971689, + 802113640, + -1, + -1, + 642150698, + 345809924, + 519328629, + 261429427, + 285040251, + 238971481, + 320047097, + -1, + 160727757, + 113794206, + 264189032, + 328493883, + -1, + 717969220, + 251921804, + 416514059, + 84586925, + 185438722, + 879492562, + 751765797, + 862493582, + 604144348, + 11453588, + -1, + -1, + 463389918, + 910445597, + -1, + -1, + 766055011, + 438230183, + 391449168, + 908466043, + 323274245, + -1, + 192016, + 164464860, + 274581858, + 868891147, + 271788402, + 761711811, + 681116998, + 293786533, + -1, + -1, + 621622455, + -1, + 4232226, + 215835189, + 151869349, + 898970167, + 963142360, + -1, + -1, + 326509124, + 677709441, + 661549020, + -1, + 887556273, + 798812889, + 91855892, + 248836682, + 114928402, + 609782830, + 75598261, + -1, + 265963160, + 815917588, + -1, + 409855576, + 730362117, + 697337188, + 506179387, + 795432838, + -1, + 941385955, + 411984255, + 29148692, + 894141376, + 613223767, + 558418370, + 529693828, + 655947668, + 800016547, + -1, + -1, + 864556553, + -1, + 133283284, + 695645659, + 584217384, + -1, + -1, + 331233838, + 77063647, + 589728705, + -1, + 418181995, + -1, + -1, + 669484584, + 585620286, + 298032651, + -1, + 983758037, + 815995156, + 751162095, + -1, + 787027854, + 89087, + 986254510, + -1, + -1, + -1, + -1, + 627295099, + 312710369, + 574930562, + -1, + 197745997, + 611988057, + -1, + 855607596, + 918537739, + -1, + 145600208, + 302222708, + -1, + -1, + 787974382, + 285663251, + 882235808, + 865889307, + -1, + 378199409, + 684130641, + 228034506, + -1, + 18249164, + -1, + 949858001, + 506504354, + -1, + 688214741, + 199308569, + 984843931, + 620419624, + 884657869, + 441612259, + 100201216, + 817904844, + -1, + 520225785, + -1, + 760501737, + 347155838, + -1, + 589661519, + 256565628, + 76840122, + -1, + 590634011, + -1, + 845786070, + 911651462, + 741004644, + 491893465, + 926211509, + 16941357, + 302903704, + 5314597, + -1, + 74665345, + 956910384, + -1, + 229739157, + 793456791, + 802593857, + 454188230, + 927267476, + 86928982, + -1, + 91002327, + -1, + -1, + 347899364, + -1, + 135970612, + 350473625, + -1, + 266536375, + -1, + 683045116, + 56610868, + -1, + 854750453, + 133038367, + -1, + -1, + 826175180, + 364567816, + -1, + -1, + 788258862, + 294759405, + 884430423, + 698577303, + 523476085, + -1, + 565331821, + 423461270, + 474892816, + -1, + 122367148, + 92682452, + 895630200, + 913356005, + 17006416, + 874745555, + -1, + -1, + -1, + 990826984, + 83813852, + 887416776, + -1, + -1, + -1, + -1, + 372820724, + -1, + 910406161, + 367574769, + 165927962, + -1, + -1, + 936030024, + -1, + 107901247, + -1, + -1, + 936781585, + 401002251, + 795921560, + 109626865, + 490573008, + 434769965, + 298003868, + -1, + -1, + 273894597, + 56083672, + 710729799, + 774262238, + -1, + -1, + 321711454, + 646496736, + 530289387, + 285735993, + 570475708, + -1, + 726325660, + 741528646, + 673937040, + 934063510, + 98478783, + 230709174, + 92420595, + -1, + -1, + 205746452, + -1, + -1, + 887770600, + 511194381, + -1, + 481888280, + 825473798, + 684818392, + 597623576, + -1, + 424360047, + 448075217, + 771964115, + 968944270, + -1, + 507773222, + -1, + 613151331, + 515093643, + 374878451, + 477581487, + 754434009, + 991433676, + 667697963, + -1, + 214982334, + 927842732, + 536414830, + 485933102, + -1, + -1, + 707906955, + -1, + 544794039, + 265095290, + 187943780, + -1, + -1, + 824853082, + 286664158, + 656486623, + 341613739, + 417937044, + 659261820, + 463112145, + -1, + -1, + 362636792, + 207959514, + -1, + 30571127, + 298265099, + 283111891, + 89189359, + 918917845, + -1, + 47520898, + 560140785, + -1, + 50651429, + 292131343, + 903092345, + 677631980, + 214734195, + 529456193, + 932201186, + 435474758, + -1, + 725334714, + 778953196, + -1, + 976266591, + 626167290, + -1, + 661591229, + -1, + 639093742, + 847625047, + 371260534, + 809497781, + 338388578, + 571277361, + -1, + -1, + 247286793, + 63871550, + -1, + 214627569, + 877499062, + 930714577, + -1, + 987387996, + 54420114, + 978761674, + -1, + 329273677, + 815030977, + -1, + -1, + 535466194, + 464610850, + 423235373, + 907037301, + 501796374, + 378289597, + 107744054, + 590969629, + -1, + 916961210, + -1, + 661606430, + -1, + -1, + 838781696, + -1, + 908599259, + 995091837, + 884213243, + 143688667, + 648512710, + 20683693, + -1, + 731373668, + 95983293, + 187131103, + -1, + -1, + -1, + 629214225, + -1, + 845012091, + 252011170, + 220743747, + -1, + 446924278, + -1, + 528984388, + 358728727, + 241658009, + 331200443, + 488699836, + 731172594, + 871080015, + 621639445, + 751006382, + 561104690, + 376770946, + 354852162, + 143959421, + 998768622, + 230098202, + -1, + 124909317, + 580998312, + -1, + 841070660, + -1, + 962622172, + -1, + 800149260, + -1, + -1, + 743815239, + 271908629, + -1, + 255894509, + 163123752, + 437962812, + 229224334, + 36306959, + 767301460, + 207889250, + -1, + 953688920, + 131965336, + 378062564, + 689305436, + -1, + 65105612, + 290541545, + 156961477, + 803302677, + 675600947, + 453010941, + 930416687, + 548804248, + -1, + 145307151, + -1, + 436541399, + 633325829, + 536708579, + -1, + -1, + 273448417, + -1, + 700548824, + -1, + 593474502, + -1, + 25004589, + -1, + 602748551, + 766480327, + 896556551, + 176889132, + 906859946, + 791578284, + -1, + 159689661, + -1, + -1, + 227716951, + -1, + 833560782, + 659156108, + 597834260, + 139448399, + 186068657, + -1, + 580285695, + 756120322, + 989261063, + -1, + 370356299, + 131075580, + 429158271, + 894242887, + -1, + 824008324, + 801150908, + -1, + 830682977, + 832714295, + 491777999, + 542393971, + -1, + -1, + 383988913, + 254451928, + 172273007, + 937215819, + -1, + 953356533, + 28089050, + 103459422, + 913144174, + -1, + -1, + 84380171, + -1, + 680242919, + -1, + 618394435, + 204093462, + -1, + -1, + -1, + -1, + -1, + 658410065, + 217073138, + 177433431, + -1, + 22418509, + -1, + 340664221, + -1, + 263915825, + 242731965, + 706666483, + 567624504, + -1, + 317407359, + 661815224, + 954536992, + 913912036, + -1, + 435142589, + 838506532, + -1, + 815448330, + 242959868, + 536145518, + 928389651, + 183354877, + 984530973, + -1, + 974215716, + 17970460, + 124743548, + -1, + 919299007, + 869541490, + 440865336, + -1, + 635972937, + 673828315, + -1, + 836864703, + 348334202, + 305133342, + 451324455, + 864193697, + 264133600, + -1, + -1, + 962592317, + 107977438, + 747179364, + -1, + -1, + 693857442, + 729076397, + -1, + 930955627, + 246772124, + 586287155, + 747932605, + -1, + 324158043, + 944012205, + 922663169, + 871738717, + 346756618, + -1, + -1, + 919355398, + 539760616, + -1, + 621958671, + -1, + 470185899, + -1, + 444264969, + 832468864, + 558491084, + 201765290, + -1, + -1, + 785125083, + -1, + 723707200, + 772172917, + 620469051, + -1, + 145236462, + 245179452, + 919722148, + 673954929, + 262750888, + 634598473, + -1, + -1, + 276844226, + 314783848, + -1, + -1, + -1, + -1, + -1, + 69114152, + 400494142, + 604607291, + 53049255, + -1, + 213526301, + -1, + 530665484, + 47412195, + 91425919, + 25973166, + 205878615, + 950667171, + 93535982, + 202506522, + 175222627, + 287024956, + 750798413, + -1, + 106872341, + -1, + 12898698, + 10390271, + 909980022, + 883573278, + 850762655, + -1, + 499093931, + -1, + -1, + -1, + -1, + 11461120, + 96544002, + 654582541, + -1, + 315799443, + 337136505, + -1, + -1, + -1, + 207277096, + -1, + -1, + -1, + -1, + 209704870, + 292536941, + 100836329, + -1, + 580328047, + 232597946, + -1, + 903649817, + 317629275, + 544726617, + 575641409, + 967826343, + 948690795, + -1, + 959651397, + 840930454, + 947083110, + -1, + 185203120, + -1, + 637207393, + -1, + 498964474, + 496218618, + -1, + 248564249, + 974971449, + -1, + -1, + 297168545, + 538793003, + 931047723, + -1, + 704597421, + 48167008, + -1, + 509943110, + -1, + 604233337, + 146318267, + 568911760, + 685450384, + -1, + 824294079, + -1, + -1, + 116146075, + 761625735, + 243243452, + 380760587, + 875855195, + 691825462, + 387655574, + 371997130, + 639978014, + 332403011, + 29541690, + 831711183, + 448026896, + 392268105, + -1, + -1, + -1, + 617763376, + 326922992, + 1470590, + 402116107, + 662909935, + -1, + -1, + 377514549, + 813492931, + 441761275, + 624637678, + 21782955, + -1, + -1, + 956249887, + 650846846, + -1, + 815502499, + -1, + 570980093, + 839826144, + 174802030, + -1, + -1, + 676863522, + 853024043, + -1, + 54060242, + -1, + 168243708, + -1, + 538268354, + 959497403, + -1, + 852694150, + 117899720, + 917629104, + -1, + 944400692, + 770363780, + -1, + 865667878, + -1, + 134094880, + -1, + 731711591, + -1, + 511529886, + -1, + 813547433, + 925403976, + 885144168, + 48494003, + -1, + 39285051, + -1, + -1, + 934121575, + 859212033, + 407081159, + 131426772, + -1, + 410095151, + -1, + 242196396, + 490868882, + 874093271, + 850862115, + 604312075, + 52599228, + 836930032, + -1, + -1, + 960325349, + 637620447, + -1, + -1, + 319800095, + 168891353, + 399702162, + 479258462, + 497223018, + 483277730, + -1, + -1, + -1, + -1, + 652419965, + -1, + 10060692, + 291881271, + 108456303, + 664822827, + 438384639, + -1, + -1, + -1, + -1, + 451659167, + 520574240, + 8259380, + 554120519, + 519001059, + 618996842, + 714222741, + -1, + 414083441, + 989547694, + -1, + -1, + 234414736, + 852985544, + 353567557, + 941972461, + -1, + 467925236, + -1, + 660071729, + 26783616, + 294785172, + 638632616, + 266056096, + 837763546, + 993671494, + 594597550, + 272398058, + 822300519, + 994537332, + -1, + 550825545, + 576621038, + 903415443, + 751565996, + 771621458, + 432500594, + 87773961, + 771371337, + 86217396, + -1, + -1, + -1, + 280568261, + 927534385, + 494992645, + -1, + 394592296, + -1, + 682081659, + 95467098, + 35527596, + 927348731, + -1, + 27669003, + -1, + 77359979, + 519890474, + -1, + -1, + -1, + -1, + 747259691, + -1, + -1, + 930637851, + 504579520, + 105259575, + 100412369, + 607207386, + -1, + 406846658, + 551114465, + -1, + -1, + -1, + 322095548, + -1, + 92982063, + 434920233, + 826283983, + 550958569, + 738901187, + -1, + -1, + 776498971, + 67507143, + 957777046, + 863907742, + -1, + -1, + 429897792, + -1, + 556288281, + -1, + 13394184, + 102954209, + -1, + 637858418, + 536014741, + 181094824, + 765072033, + 931507071, + 166359698, + 907822190, + -1, + -1, + -1, + 898466365, + 685154363, + 227117416, + -1, + 187924102, + -1, + 891353384, + 532546552, + -1, + -1, + -1, + -1, + 576431416, + 662340627, + -1, + -1, + 844485466, + 866723408, + -1, + 705957680, + 186971645, + 979021257, + 359579281, + -1, + 318780243, + 615686609, + 536017455, + -1, + -1, + 428367381, + -1, + -1, + -1, + -1, + 195791444, + 585273904, + 734732801, + 211905164, + -1, + 833715143, + -1, + 664899785, + 811637436, + 546075025, + -1, + 991732680, + -1, + 567404610, + -1, + 864874401, + 361571522, + -1, + 910893012, + 756860580, + -1, + -1, + 777029768, + -1, + 632147821, + 93310215, + -1, + 726194753, + 225207807, + -1, + 20892109, + 83667259, + 605308248, + 707930499, + 621288525, + 348580901, + 938759524, + -1, + 614396055, + 83536318, + 357112196, + 659318916, + -1, + 964565735, + 680753124, + 479113066, + 729418196, + 38762239, + 346013701, + 929338015, + -1, + 342633612, + 607168691, + -1, + 559624681, + 712967316, + 543551421, + 161930254, + -1, + 215740033, + 982921878, + -1, + 141637680, + 345669874, + 135352624, + 944736978, + 413548318, + -1, + 962188399, + 777918985, + 903037793, + 418192407, + 257859968, + -1, + 569817074, + 786362806, + -1, + 769227297, + 693780831, + -1, + 226510468, + 656966670, + -1, + 535550777, + 172158938, + 6725124, + 511503231, + -1, + 782539661, + 981048209, + -1, + -1, + 360681220, + 538050869, + 929030507, + 508032721, + 536900396, + -1, + -1, + 463357088, + 451449226, + -1, + 97944673, + 532083904, + 213280565, + 917438141, + -1, + -1, + 289197006, + -1, + 349839059, + 179860371, + 99866726, + 713925634, + -1, + 57503636, + 205431936, + -1, + 711966837, + -1, + 338431289, + 758047450, + 436119365, + -1, + 415337208, + 612136027, + 584449738, + -1, + -1, + 808134360, + 114627712, + 545350252, + 43958933, + -1, + 138240564, + 258543364, + -1, + 178856149, + 799340962, + 659476739, + 945094415, + 343494852, + 48380446, + 876706718, + 846194078, + -1, + 611272124, + -1, + 846215611, + 398354035, + -1, + 345589919, + 323999097, + 84512783, + 832736196, + -1, + 282635594, + 739949461, + 582148365, + -1, + 864742749, + 826097017, + -1, + -1, + 186803569, + 684408815, + 904283676, + 960980033, + 50806169, + 849005875, + 926110011, + 151680427, + 951991537, + 240135603, + -1, + -1, + -1, + 529532826, + 817355180, + 842052464, + -1, + 869906315, + 237527014, + 25496011, + 833020295, + 36365836, + 456688523, + 723489782, + 60000261, + 716522401, + -1, + 63421004, + -1, + -1, + 8434252, + 756840791, + 371781609, + 902830098, + 264832449, + -1, + -1, + 610567933, + -1, + 229871330, + -1, + -1, + 742875293, + 860686150, + 736660793, + 6624171, + -1, + 337533986, + 194439179, + 188254715, + -1, + 87306026, + 124013654, + -1, + 72934999, + 595450407, + 860236655, + -1, + 487461589, + 435069933, + 662666924, + 876366133, + 510809332, + 493132210, + 203409221, + 129140574, + 900679549, + 57718470, + 526080210, + 106172130, + -1, + 506199934, + -1, + 982187993, + -1, + 173927626, + 962730456, + -1, + -1, + 100566396, + -1, + -1, + 439424358, + 98812797, + 203856936, + 304962371, + -1, + 510111203, + 273183862, + 965266814, + 179118968, + 569014977, + 554571339, + 990248669, + 541742869, + -1, + -1, + 909922403, + 95117343, + 405242765, + 687855762, + 996566042, + -1, + 329020386, + 862466927, + 374848210, + 825316673, + 795892458, + 928260509, + 789225456, + 909655003, + 729274558, + 228951959, + 425716311, + 935188805, + 944338983, + 952309080, + 555140482, + -1, + 275329975, + 495836779, + 253339727, + -1, + -1, + 549651518, + 492300160, + 306225089, + 996644043, + 936970515, + -1, + 755821722, + -1, + 942532495, + 816984908, + -1, + 302127590, + 435309868, + 422864167, + 825976159, + 966150187, + -1, + -1, + 834363529, + 223691833, + -1, + 394708442, + 596738362, + 324159362, + 828278460, + 518318615, + -1, + 692467471, + 927111309, + -1, + 155540428, + 796346242, + 591652990, + 547446221, + 807561176, + -1, + 905199082, + 975516264, + 387282676, + -1, + -1, + 777575665, + 845492877, + 502192013, + -1, + 899098221, + -1, + 517653093, + 541906600, + -1, + -1, + 85458592, + 236877186, + 221665907, + 944714787, + -1, + 138080040, + 924106923, + 449579334, + 422569780, + 872997045, + -1, + -1, + -1, + 911442121, + 141503449, + 520196312, + 471256653, + -1, + 572751951, + 825233181, + 106274673, + 125125539, + 475031547, + -1, + 968023733, + 568930305, + 780693537, + -1, + 902412799, + 962893821, + -1, + 190716710, + 990969821, + 527225204, + 553987290, + -1, + 832228498, + -1, + 23102576, + -1, + 218160784, + 792273616, + -1, + 820997551, + 76748141, + -1, + 203054545, + -1, + 101240941, + -1, + 337971172, + -1, + 980557679, + 582315249, + 456911090, + 977665843, + -1, + -1, + -1, + 125402285, + 379017736, + 783970834, + 934621384, + -1, + 461890844, + 856067849, + -1, + 253867335, + 194778951, + 55433210, + 886854073, + 380756349, + 138636652, + 98703972, + 183483924, + -1, + -1, + 39369773, + 603563249, + 925518670, + 76423904, + 921911185, + 928809869, + 599679515, + 360714250, + 693538605, + 865867188, + 908809609, + 142592061, + -1, + -1, + 743111038, + 924359149, + -1, + 315629449, + 395568376, + 892928319, + -1, + 595378446, + 156549582, + -1, + 656789612, + -1, + -1, + 652726748, + -1, + -1, + -1, + -1, + 901080689, + 386929540, + 498377740, + 341001834, + 101683244, + 356757553, + 390308531, + 573298340, + 637029140, + 368828746, + -1, + 517115295, + 793893408, + -1, + 596938029, + -1, + -1, + 153617393, + 596648282, + 887160231, + 46717417, + 749929949, + -1, + 56781820, + 531152659, + -1, + 169012752, + -1, + 537860668, + 437412524, + 866131086, + -1, + 908819407, + 221666262, + -1, + -1, + -1, + 453747596, + -1, + -1, + 872878856, + 477441345, + -1, + -1, + 649293429, + -1, + -1, + -1, + 273829717, + 279035683, + 454258404, + 762353821, + -1, + 182390922, + 930727284, + 747327967, + 513450118, + 53398947, + 407075478, + 437944890, + 387095408, + -1, + 718452836, + 567988900, + 748333822, + 632956217, + -1, + -1, + 656026744, + -1, + 629777709, + 499622523, + 87617505, + -1, + 434339317, + 740537411, + 857016936, + 182825239, + 892579484, + 521939760, + -1, + -1, + -1, + 656131039, + 424492800, + -1, + 824938065, + -1, + 585913637, + -1, + -1, + 61172728, + 953831888, + 987409056, + 149686729, + 139759545, + -1, + -1, + -1, + 145302057, + 385198817, + 166750478, + 847194447, + 640352539, + 611267732, + 186990457, + 125601506, + 83389477, + -1, + 598456881, + 897442358, + 197078915, + 75836947, + 711092382, + 934007667, + 663398376, + 503354055, + -1, + -1, + 88855281, + 628277735, + -1, + -1, + 446544592, + 977525178, + -1, + 455047066, + -1, + 533660825, + 967024549, + -1, + 184759187, + 97928404, + -1, + -1, + -1, + 709516531, + -1, + 586733504, + 307403301, + 822699207, + -1, + 933277139, + 40088941, + 438435781, + 16509130, + 343458317, + -1, + 148773360, + -1, + 324982614, + -1, + 9230122, + -1, + 301220140, + 985889747, + 694029826, + -1, + -1, + 657539450, + -1, + 903072564, + 629447549, + 174429493, + 133374049, + -1, + -1, + 558887217, + 398427522, + 755721407, + 466776946, + 182532677, + 576937472, + 125277411, + 738712656, + 301997231, + 969140934, + 655203023, + 107764469, + 695129975, + -1, + -1, + -1, + 664287207, + -1, + 765467655, + 974001612, + 369201947, + 228307194, + 822126934, + -1, + -1, + 730498125, + 759066679, + 261290983, + -1, + 270415951, + 713753473, + 24828819, + 229744268, + 283073432, + -1, + 374991518, + -1, + 56612134, + 678244636, + 545799958, + 894951679, + -1, + 89789395, + 772168007, + 287229632, + 199230020, + 937750210, + -1, + 181558977, + -1, + 843749729, + -1, + 791806726, + 599610733, + 881868282, + -1, + 656017373, + 298624267, + 91844433, + 767189233, + 162410452, + 636328329, + 765582448, + 586955034, + 809605227, + -1, + 978265797, + 878949256, + -1, + 582592680, + -1, + 783764931, + -1, + 139913510, + 964665192, + 961016005, + -1, + 695249622, + 760041016, + 492669120, + 433311531, + -1, + 241925097, + -1, + 517680977, + 510893633, + 232637148, + 511901303, + 34097486, + 971195771, + -1, + 790345424, + 929917559, + 373634416, + 497916748, + 390530179, + 929767821, + 670338808, + 623746516, + 99069756, + 426763843, + 606264797, + 708978193, + -1, + 897126153, + -1, + 384514366, + 305349816, + 163618664, + 444492753, + 982098672, + -1, + 262565337, + -1, + -1, + 757798569, + -1, + -1, + 593019383, + 525771842, + 464005675, + -1, + -1, + -1, + -1, + 299730723, + 816659393, + -1, + -1, + 952737870, + 920201203, + 57514639, + 361240556, + 618367217, + 867187596, + -1, + 441330068, + 200667032, + -1, + -1, + -1, + -1, + 41657931, + 191477411, + 430159664, + 501150592, + 170769474, + 819969856, + 307869843, + 296997063, + -1, + -1, + 466774304, + 970062758, + -1, + 64445748, + 902269432, + 643976563, + 765701282, + -1, + 881701170, + -1, + 426870020, + 150915239, + 933679559, + -1, + -1, + -1, + 765218859, + 813999822, + 725054144, + 861647133, + -1, + 462429960, + 527626229, + -1, + 195249412, + 870166724, + 415225738, + 982403924, + 591373868, + 622550905, + 995257511, + 947483941, + 324270265, + 940100827, + 988505271, + 721945022, + 511424685, + -1, + 422154096, + -1, + 290934783, + -1, + 219666727, + 368075123, + 553743631, + 927178437, + -1, + -1, + 459815920, + 642234657, + 748351654, + 206217533, + 846045254, + 701080291, + 386326142, + -1, + 842037510, + 583011791, + -1, + 654151593, + 370414261, + 940341047, + 464417494, + 325000051, + 501778702, + 583650535, + 140991039, + 404019641, + 974965939, + 717484712, + 637902443, + -1, + 841061682, + 236812640, + 924334179, + 592046989, + 517142789, + -1, + 36238622, + 986293419, + 350231799, + 521359598, + 630551350, + 585245632, + 884266377, + 46651821, + 205467978, + 826703926, + 674370391, + 500093766, + 470666471, + 486029381, + -1, + 244577, + 196760275, + 19766281, + -1, + 946345598, + -1, + -1, + 775213755, + 630710734, + 173982779, + 513379928, + 194095223, + 445891390, + 788277125, + 403123456, + -1, + -1, + 922933745, + 638820294, + 276884161, + 182246234, + 500124042, + 223551987, + 960134387, + 992193966, + 988320425, + 245460769, + 789734307, + -1, + 400395810, + -1, + -1, + 622593385, + 953639753, + -1, + -1, + 32301483, + -1, + 940530117, + 681322790, + 638884264, + -1, + -1, + -1, + 684159445, + 170276678, + 439774472, + -1, + -1, + 75870663, + 658942605, + 98614550, + 310700507, + 758988444, + -1, + 360362340, + -1, + 104451006, + -1, + 65751586, + 23622965, + -1, + 823603263, + 787113155, + -1, + 33580893, + 468837975, + 916816212, + 236301610, + -1, + 664474466, + 392870020, + 255585227, + 752953297, + 434047370, + 515514680, + -1, + 208250856, + 696481855, + 939366603, + 838154208, + -1, + 283880534, + 77233825, + 975005404, + -1, + 697092241, + -1, + -1, + 749939044, + 172278694, + 80896855, + 298210790, + -1, + 503643127, + 926872895, + -1, + -1, + 468295, + 294536659, + 707502348, + -1, + 693007624, + -1, + 814682466, + 427095240, + 513265666, + 745276513, + -1, + 885497933, + 23013695, + 330852812, + -1, + -1, + -1, + 556601872, + 516100689, + -1, + 818810806, + -1, + 608472368, + 584082075, + 914337325, + 839283448, + 727726123, + 798500741, + 359429543, + 580062692, + 118860006, + 435529873, + -1, + -1, + 846995599, + 519210548, + -1, + 665661257, + 237964020, + 182203872, + 700884165, + 904974721, + 128010669, + -1, + -1, + 330289264, + 396232824, + 490471423, + 500397340, + -1, + 643289225, + 625679797, + -1, + 384119341, + -1, + -1, + 290400035, + 393118285, + -1, + 332700314, + -1, + 993876189, + 807972375, + -1, + 686441108, + -1, + 654201723, + 472092921, + 673058458, + -1, + -1, + 101002128, + 950307535, + -1, + 331660188, + 331790150, + -1, + 397014786, + -1, + -1, + 355967273, + 221109655, + 603605494, + -1, + 40342711, + 603871845, + 162546146, + 839338340, + 863055242, + -1, + 848745565, + -1, + 90331763, + -1, + 236666456, + -1, + -1, + 859998904, + 795842606, + 931178905, + 880256154, + -1, + 96772289, + 212887765, + 293650094, + 970824628, + 90368619, + 945265291, + -1, + -1, + 195771256, + 823318239, + -1, + -1, + -1, + 320429988, + 52536762, + -1, + 724884844, + 944361175, + 769566859, + -1, + 628799133, + 412678377, + 826196478, + 564845134, + 721202711, + 991983297, + 172599696, + 592908270, + -1, + -1, + -1, + 841651629, + 804010480, + -1, + 456783923, + 717970280, + 649417815, + -1, + 505410750, + 846625628, + 249993227, + 584549014, + -1, + 949351169, + 469987239, + 609647534, + 88996767, + 973688552, + -1, + -1, + 317379318, + 987901067, + 920607336, + 649487352, + 455323920, + 795224813, + -1, + 240189586, + 430968373, + -1, + 857857691, + 304232602, + -1, + 954494733, + 560964689, + 478464235, + -1, + 935707054, + 860084404, + -1, + 3120988, + 854083738, + -1, + 599091976, + 921480308, + 305602596, + 269045178, + 162860298, + -1, + -1, + 802709548, + -1, + -1, + 963075045, + -1, + -1, + 493580191, + 562767562, + -1, + 70504181, + 887936146, + 697345950, + -1, + -1, + -1, + 176194712, + 991474706, + 986740959, + 915078294, + 149781832, + 416936039, + 504444660, + 179238102, + -1, + -1, + -1, + 241482137, + 393020890, + -1, + -1, + 919967423, + -1, + -1, + 677896805, + 819252777, + 588623833, + 755085619, + 79156296, + 884389063, + 668493022, + 89973009, + 982613243, + 458729869, + -1, + 529495072, + 915980729, + 875353963, + 430190076, + 485435931, + -1, + 286470715, + 512497967, + -1, + 265759528, + -1, + 706244417, + 737623824, + 14570465, + 324130167, + 257369664, + 631069585, + 632048247, + -1, + 959550142, + 717135596, + -1, + -1, + 673495696, + 205953477, + -1, + 406478858, + -1, + -1, + 411143298, + 969601908, + 510045197, + 313728065, + -1, + 901330392, + 519479320, + -1, + -1, + 397847306, + 553777855, + 900001187, + 650666309, + 906868974, + -1, + 59191568, + 849964186, + 315535328, + 930577546, + 486401185, + -1, + 625808938, + 722300381, + -1, + -1, + 317011642, + -1, + 461391724, + -1, + -1, + -1, + 612006022, + 721713602, + 554166113, + 197128333, + -1, + 173429898, + 650805925, + 293887346, + 349011741, + -1, + 283632540, + 851777071, + 811604370, + 656259032, + 274647498, + 810584660, + 825962966, + 732651287, + 276680129, + 526659416, + -1, + 804805932, + 564181864, + -1, + 864625848, + 798819615, + 501059458, + 858931516, + 193886683, + 653120212, + -1, + 926959027, + 61012015, + 608570374, + 636315231, + -1, + 574395493, + 634952716, + 867013438, + 114420497, + -1, + -1, + 201395720, + 602044396, + 637377698, + -1, + 46740479, + 401617743, + 53883736, + 259373633, + 909077811, + -1, + -1, + 660580521, + 674156927, + 20102124, + -1, + 278301190, + 341318175, + 967882538, + -1, + -1, + 39923134, + 679242669, + 726679994, + -1, + 625658707, + 490000167, + -1, + 913416840, + 39751454, + 755441225, + -1, + -1, + -1, + 227359521, + -1, + -1, + 715727728, + 214308191, + 157871019, + 147256809, + -1, + 350879913, + -1, + 815266711, + 736059493, + 620661547, + 536095351, + 928917329, + 699092585, + 530181189, + -1, + -1, + 823553949, + 67376292, + 407923045, + 486121918, + -1, + 687825979, + 834638274, + -1, + 815772988, + 275122504, + 823206599, + -1, + 580805997, + -1, + 881026216, + 905906077, + 785481640, + 587827646, + 328012551, + 267555309, + 597689784, + -1, + -1, + 714640299, + 300134754, + -1, + 855136820, + 774539265, + 980720710, + 569597778, + 623161568, + -1, + 796918387, + -1, + -1, + 323258031, + 109069260, + -1, + 535076148, + 361625870, + 43710127, + 496188402, + 586526361, + 635478293, + 68235913, + 27178508, + 692216687, + 112055886, + -1, + -1, + 163457731, + 500257310, + 140855733, + 945883491, + 780955145, + -1, + 57552354, + 734351016, + 87350054, + 637207849, + 320715067, + 424831622, + 31483759, + 513384265, + -1, + -1, + 987981588, + 334300899, + -1, + -1, + -1, + 841272638, + 446674086, + -1, + -1, + 593962569, + 279292865, + 839845302, + 834423673, + 812404579, + 522436303, + -1, + 293919439, + 66503631, + -1, + -1, + 629025756, + 659371319, + 864555307, + 835672392, + 611385098, + 759701773, + -1, + 396730967, + 18063395, + 322161404, + 545409398, + 506327566, + 5236428, + 137393258, + 434773256, + -1, + 186230381, + 827871129, + 270517787, + 283313981, + 670691669, + 104624636, + 799407642, + 469298373, + 75647105, + 855597205, + 630246483, + -1, + 112325943, + 436921787, + -1, + -1, + -1, + 245283626, + 513851382, + 6324976, + 833537362, + 106106348, + 411746175, + 348818697, + -1, + 925298001, + 961141383, + 9202559, + -1, + 500387416, + 17618324, + 5214600, + -1, + -1, + 392448808, + 671505957, + -1, + 357647843, + -1, + 255587992, + -1, + -1, + 680714041, + 879054216, + -1, + 914660239, + 694842749, + 733483963, + 978934286, + 336535460, + 562449578, + 671625035, + 82237827, + 125068452, + 507382490, + -1, + -1, + 456706046, + 442630122, + 82268594, + 929125398, + -1, + -1, + 150693928, + 288408232, + -1, + 768282036, + 523314045, + -1, + 605582440, + 473166765, + 423023989, + 97871380, + -1, + -1, + 187736391, + -1, + 497784843, + -1, + 454235194, + -1, + 695969534, + 6423826, + -1, + 331516758, + -1, + 747918595, + 489897764, + 997839068, + -1, + 170886778, + -1, + 77505348, + 155349301, + -1, + 649896376, + 611538067, + 287665203, + 313665969, + 807640559, + 38395806, + 229186370, + 979884688, + 678804474, + 188463683, + 995916193, + 594405958, + 384813080, + 568310860, + -1, + -1, + -1, + -1, + -1, + 696124819, + 23781576, + 638746173, + 567765273, + 405369974, + 573420632, + 725361622, + 668157688, + 172453758, + 495107039, + 476701674, + -1, + 79075969, + -1, + 854416854, + 542741301, + 572094115, + -1, + -1, + -1, + 881224113, + 895410397, + -1, + 10448281, + -1, + 657188373, + 602013540, + 959878324, + -1, + -1, + -1, + 458647831, + 343608008, + -1, + 664769492, + 72619316, + 974637995, + 56273224, + -1, + 15603101, + -1, + 95176902, + -1, + 47761642, + -1, + -1, + 602072494, + -1, + 734945863, + 703282597, + -1, + 636040130, + -1, + 744587165, + -1, + 261355548, + -1, + 667818458, + 468469712, + 809259210, + -1, + -1, + -1, + 795375677, + 634317284, + 975646459, + 458501411, + 4799485, + 232656741, + 818632832, + 240069815, + -1, + 107308367, + 180403359, + 983040506, + -1, + 313042667, + 417871494, + -1, + -1, + -1, + 297827891, + 455930334, + 701525771, + 939435418, + -1, + 831973818, + 303282985, + 986200845, + 731160548, + -1, + 31701897, + -1, + -1, + -1, + 516077120, + -1, + 133926794, + 769785302, + -1, + -1, + 812884683, + 930401452, + 602229363, + 630245148, + 691637838, + 484451233, + -1, + -1, + 691970236, + 969158697, + 387226898, + 247884506, + 556714073, + 667422119, + 409582612, + 215019396, + -1, + 4905547, + -1, + 931720696, + 282050057, + 835842981, + 618536412, + -1, + 456438253, + -1, + 444783421, + 41027984, + 211901630, + -1, + 42822139, + 65838385, + -1, + 789874494, + 711677971, + 652333890, + 788105364, + -1, + 859194490, + 5132023, + -1, + -1, + 70136837, + 299191195, + 748796687, + 392127719, + 681327356, + 424761949, + -1, + 279899568, + -1, + 698094283, + 970682731, + -1, + -1, + -1, + 931403500, + 405915845, + 330754191, + 190424579, + 700703499, + 128518505, + 489602971, + 631756819, + 163786, + 294229353, + 563810155, + 844528085, + 898900454, + 625058219, + -1, + 461868257, + -1, + -1, + 231027092, + 59786592, + 533891186, + 688014431, + 635033388, + 514140792, + 193867357, + 280555079, + 519164858, + 272839863, + 282664334, + 635089321, + 317581214, + 602844551, + 922992739, + 847943722, + 505944550, + 288018524, + 758002012, + -1, + -1, + -1, + -1, + -1, + 798749611, + 704669410, + 384103992, + 357809035, + 426254035, + -1, + 629792393, + 387482173, + -1, + 737664016, + -1, + 577427254, + 958093859, + 392269873, + -1, + 145946291, + 549249760, + 808730901, + 775557254, + 446727570, + 781600000, + -1, + 435495681, + 161000106, + 846674157, + 480664261, + -1, + -1, + 778372394, + -1, + 321853550, + 161120103, + 28068112, + 168856052, + -1, + 868442238, + 930852167, + -1, + 894376611, + 670598175, + -1, + -1, + -1, + 698898584, + -1, + -1, + -1, + 166451776, + 182114351, + 333576493, + 475145335, + 344902201, + 463199322, + 888790555, + 52513177, + 438029490, + 366460637, + 396613803, + 247174461, + 693659036, + 545290901, + 303852320, + 908274535, + 46737798, + 648010964, + 227986336, + 908046250, + -1, + -1, + -1, + 19425477, + 102117718, + 225957106, + 193214937, + 288214229, + 59987791, + -1, + 975152646, + -1, + 173208188, + -1, + 568986744, + 638096037, + 841623533, + -1, + 111477617, + 197186268, + -1, + 725860466, + -1, + 995455139, + -1, + 565217235, + -1, + 265552802, + -1, + 375444478, + 379903450, + -1, + 103573568, + 542523060, + 912558493, + 970533737, + 820998441, + 198893227, + 183361764, + 251833607, + 148818642, + 75453919, + -1, + 308647239, + -1, + 31003437, + 806456593, + 305992548, + 833945933, + 835089886, + 78281907, + 105308761, + 336170352, + 189531547, + -1, + 33543219, + -1, + -1, + 720248986, + 587253702, + 411552612, + 934461084, + 33601314, + -1, + 937343515, + 989689559, + 591161377, + 384123958, + 845005664, + 799554803, + 319236095, + -1, + 792322148, + 778261311, + 694175316, + 249725576, + -1, + 243844524, + 497630026, + 38757499, + 250167998, + 628333061, + 869742575, + 997645302, + -1, + -1, + 1330257, + 516130048, + 968725914, + 30962386, + 330930353, + 630596538, + 175035835, + 926573207, + 372572903, + 543805178, + -1, + 266200660, + 62676137, + -1, + 308096360, + 904462414, + -1, + 149830029, + 601312864, + 429879312, + -1, + -1, + -1, + 862308861, + 627617389, + 621150992, + 650418275, + -1, + 648006139, + 152851606, + 336517049, + -1, + -1, + 307137298, + 881006225, + 54166528, + 689596030, + -1, + 86923971, + 832615028, + -1, + 312639275, + 551712148, + 973442634, + 594188516, + -1, + 813260331, + 607029719, + 239593694, + -1, + 242295761, + 913554066, + 122745233, + 708781436, + 125600411, + 374520969, + -1, + 283745315, + -1, + 76215892, + 339796569, + 774148316, + -1, + -1, + 442395594, + -1, + -1, + -1, + 780703837, + 791778806, + 505257251, + -1, + -1, + 697004774, + 292292347, + 639034327, + -1, + -1, + -1, + 586090361, + 23753071, + 9260740, + 566021481, + -1, + 19665825, + -1, + 327932029, + 704376092, + 457548233, + 243424208, + -1, + 848408814, + -1, + 663155462, + 719192585, + 338544679, + 878804971, + 55754703, + 293067676, + 821670669, + -1, + -1, + 102306039, + 17468664, + 101092097, + 285480030, + 986990794, + 185246327, + -1, + 327910890, + -1, + -1, + 221058456, + 512501683, + 664589986, + 283007816, + -1, + 575969063, + 391838273, + 841772165, + 824836712, + -1, + -1, + 236108773, + 470042945, + -1, + 899780888, + 564516558, + 244199523, + -1, + -1, + -1, + -1, + 865604217, + -1, + -1, + 972339545, + 254897622, + 477380513, + 82468367, + -1, + 114923716, + 56656255, + 398734244, + -1, + 522290893, + -1, + -1, + 256659391, + -1, + 873733473, + 518444958, + 65934169, + 215061890, + 910806882, + -1, + -1, + 623277025, + 825779381, + 820263209, + -1, + 342588486, + 31709194, + 170165927, + 195025539, + -1, + -1, + -1, + 250527619, + 271790963, + -1, + 70770179, + -1, + 609817697, + 484275255, + 882873404, + -1, + 708357927, + 137331760, + 413879527, + 873813682, + 79471692, + 57942600, + -1, + -1, + 120448889, + 244615404, + 868304118, + 963566570, + -1, + -1, + 597793139, + 279171711, + 301272365, + -1, + 170070608, + 490854628, + -1, + 630714411, + 93639695, + -1, + -1, + -1, + -1, + 389956458, + -1, + 844352877, + 661782097, + -1, + 221563429, + 476993029, + 261594900, + -1, + 463509579, + 427797076, + 418246567, + -1, + 355320526, + -1, + 403971837, + -1, + -1, + 989668061, + 858083129, + 410112696, + 316953053, + 517309020, + -1, + 530119943, + -1, + 596570343, + -1, + -1, + 500252405, + 203550072, + 993405802, + -1, + 405702977, + 776788823, + 867490489, + -1, + -1, + -1, + -1, + -1, + -1, + 842182617, + 269920671, + -1, + 997625768, + 452141335, + 142034843, + -1, + 857027563, + 514298967, + 723361403, + 777555774, + -1, + 312520708, + 248713831, + 982390783, + 847643899, + 623620580, + 116512521, + -1, + -1, + -1, + 212855231, + -1, + -1, + -1, + 596993373, + 699795380, + -1, + 368234123, + -1, + 634400198, + 543324207, + 482819565, + -1, + 134890606, + -1, + 786519322, + 373641630, + 735298117, + 242210751, + -1, + 397403593, + 489521981, + 445528489, + 199797811, + 881907000, + 731144599, + 678951149, + -1, + 740420391, + 409234635, + 673304168, + -1, + 334894452, + -1, + -1, + 617140042, + -1, + 150772916, + 733780994, + 699673791, + 675143833, + -1, + 542400763, + 532430900, + 782679516, + 81840830, + -1, + 76410263, + 565051749, + 867081225, + 540661438, + 311137553, + 984933152, + 272505810, + 391512478, + 213688381, + -1, + 232541632, + 759130434, + 885546771, + -1, + 576070307, + 745979485, + 756059275, + 751974456, + 451104657, + -1, + -1, + -1, + 431736730, + -1, + 748106116, + 330996500, + 295494612, + 914198045, + 562222399, + 396352365, + 287687278, + 895717439, + -1, + -1, + 416267953, + 389848673, + -1, + -1, + -1, + -1, + -1, + 755094526, + 487198761, + 763212098, + -1, + 456628809, + 599168034, + -1, + 256586626, + 611379012, + 34742882, + 600740520, + 387066009, + 766461603, + 224452915, + 967960343, + 339286143, + 206926889, + 758859152, + 737835920, + -1, + -1, + -1, + -1, + 6338731, + -1, + 548595087, + 176721103, + 364887978, + 795928880, + 570540924, + 885952701, + 344347717, + 597513337, + -1, + 477941003, + 835275931, + -1, + 654341849, + 35438321, + 453430072, + 545592171, + 387187157, + -1, + 156459625, + 638271577, + 979249714, + 942084398, + 692080402, + -1, + -1, + 794646860, + -1, + 608135080, + 341193518, + -1, + 531701375, + 290610092, + -1, + -1, + 695251628, + 347857035, + -1, + -1, + 368985982, + -1, + 519451842, + 678107611, + 176876842, + 94188633, + -1, + 999333234, + 58174847, + 677745220, + -1, + 431290121, + 366224685, + 229030337, + -1, + 315326830, + -1, + 576052823, + -1, + 537117692, + -1, + 53762447, + 744974759, + -1, + 352356370, + 276326353, + 981799563, + 453165502, + -1, + 152067812, + 775881578, + -1, + -1, + 823970437, + 38562661, + -1, + -1, + 32629757, + 176051426, + 407188849, + 722652339, + -1, + 165840038, + 91795352, + -1, + -1, + 363239777, + -1, + -1, + 188884068, + 773817173, + -1, + 624813050, + 390258972, + -1, + 842605719, + 887855307, + 109092585, + 875046515, + 781843350, + 994586430, + 589735313, + 512598762, + 894712415, + 558451102, + 45211858, + 198402, + 169487965, + 593267357, + -1, + 996435328, + -1, + -1, + 340453514, + 760050196, + -1, + -1, + -1, + 201231946, + 808051964, + 372764800, + 205912735, + -1, + -1, + 534483692, + 226495768, + 999513915, + -1, + 82144683, + 375994365, + 202128714, + 928828875, + 63016369, + 698903434, + -1, + 984850069, + -1, + -1, + 942486165, + 31509144, + 730515183, + -1, + 730786833, + 436861253, + -1, + -1, + 562077236, + 530719672, + 478675402, + -1, + -1, + 448310409, + -1, + -1, + -1, + 490184902, + 796294522, + 185183516, + -1, + -1, + 396462177, + 676608440, + 665832211, + -1, + -1, + 361076033, + -1, + 662336980, + 525295326, + 599979732, + 510528802, + 804820061, + -1, + 905535405, + 430521183, + 187901921, + 805067377, + -1, + -1, + -1, + -1, + 421245992, + 629857673, + -1, + 295727520, + 81090080, + 319181630, + 703513271, + 214326185, + 531052770, + 956058320, + 693697091, + 13503107, + -1, + -1, + 40555541, + -1, + 853281963, + 139092905, + 890829294, + -1, + 646650810, + 147419965, + 900522160, + 367651337, + 116130614, + 757452160, + -1, + 194396820, + 160306037, + -1, + 804426582, + 326187943, + -1, + 174668788, + 939738915, + 730525930, + 386219195, + 738658632, + 515321021, + 951025138, + -1, + 737603301, + 495970698, + 44593315, + -1, + -1, + 618740004, + 511453095, + 515837063, + 640793882, + 418466112, + 377802593, + 729175120, + 654442475, + 965911598, + 876528616, + -1, + -1, + 792945378, + 842348669, + -1, + 863175003, + -1, + 544563364, + 39576787, + 641480525, + -1, + 324062719, + -1, + 792391327, + -1, + 788919776, + 309023229, + 12862415, + 475474512, + 441960554, + 651106371, + 861794580, + 590604795, + 457777035, + 998990059, + 735566661, + -1, + 424918079, + 904181529, + 930733139, + -1, + 601432964, + 655501117, + 839342242, + 911997193, + 508361451, + -1, + -1, + 437959019, + 521805432, + 334766348, + 479724557, + 355079219, + 712652450, + 209818567, + 2038110, + 927075611, + -1, + 598970943, + -1, + -1, + 841762814, + 948064721, + 648433619, + 577257128, + 535650856, + 94803579, + 711105002, + -1, + 197591640, + -1, + -1, + -1, + 38446715, + 533521953, + 290238364, + 401064548, + 417112665, + -1, + 683535918, + -1, + 127158681, + -1, + 351393753, + 281207615, + 165302449, + 686742170, + -1, + 414605451, + -1, + 991276879, + -1, + 561053301, + 488812248, + -1, + 946851252, + 639555800, + 959630080, + 645862340, + 932211611, + 804456665, + 316627366, + 244154899, + 335892272, + -1, + 101554373, + -1, + 199502301, + 790274562, + 79788135, + 501446361, + 342692087, + 152837676, + 436106395, + -1, + 289070176, + -1, + -1, + 289891506, + 201354049, + -1, + -1, + 654964281, + 744822546, + 795612321, + 834645636, + 192706537, + -1, + 312960320, + 538951299, + 146121005, + 760903034, + 129746169, + -1, + 116821579, + 50857060, + 76261142, + -1, + 569317297, + 783871613, + 823927234, + 427911993, + 255530734, + 4368165, + -1, + 198134383, + 634019323, + 208458893, + 556895912, + 395967078, + -1, + 195197766, + 236607295, + 183194191, + -1, + 518801121, + 692532935, + 301938941, + -1, + -1, + -1, + 315681367, + 104647044, + -1, + 249771057, + 383429849, + 645079995, + 900111680, + 981671911, + 319702035, + -1, + 254020652, + 328600402, + 538833750, + 692371610, + -1, + -1, + 215326623, + 632078761, + 907954254, + -1, + 72031068, + -1, + 115340886, + 484544970, + 382742309, + 694259393, + 88658614, + 400044863, + 813767698, + 917655277, + 922987164, + -1, + 144731519, + 633079288, + 892962713, + 759805453, + 300759167, + -1, + 321415091, + -1, + 400341839, + -1, + 46847071, + 8496661, + 84240738, + 826539235, + 239370505, + 101748413, + 9590983, + 70125038, + 579144537, + -1, + 693907781, + 274360608, + -1, + 142566711, + 337961404, + 846089836, + -1, + -1, + 35291018, + -1, + -1, + -1, + -1, + 356561968, + 398887334, + 121769777, + -1, + -1, + 828674047, + -1, + 104630761, + -1, + 960391318, + -1, + 489023456, + 711085735, + 491734619, + -1, + 964912535, + 283356877, + -1, + -1, + 566682696, + 875995280, + 258139089, + 472158788, + 249588325, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 241104238, + 732347569, + -1, + -1, + 165344225, + -1, + 674012205, + -1, + 964611922, + 436729593, + -1, + 183985873, + -1, + 290668204, + 681124360, + 866741989, + -1, + 559043916, + -1, + 464434963, + -1, + -1, + 466000556, + -1, + -1, + 40527417, + -1, + -1, + 422810128, + 689618691, + -1, + 747758229, + -1, + 913649949, + 512983184, + 795371693, + 843618054, + 106341746, + 542602098, + -1, + 812226312, + -1, + 259342994, + 297591370, + 731271106, + 733743243, + 23644, + 147854921, + -1, + 532675736, + 655680300, + -1, + 954774072, + 635825047, + 700465070, + 960875215, + 346435245, + -1, + 876154032, + -1, + 936865745, + 386646804, + -1, + 648841474, + 528203386, + 888046148, + 984045299, + -1, + -1, + -1, + 411419415, + 221428250, + 820228624, + 370452754, + 59323456, + 750464447, + -1, + -1, + 883622778, + 497915679, + -1, + 385821743, + 480543743, + 747225273, + 892842709, + 676163208, + -1, + 866582815, + 118061950, + -1, + -1, + 137553114, + 582537845, + -1, + 839209487, + -1, + 729874104, + 637452144, + 348628874, + 893367900, + -1, + -1, + 378755612, + 980556232, + 376784093, + 610259164, + 561998128, + 245021692, + 453249376, + 203867451, + 286868592, + -1, + 691093983, + -1, + 850396248, + 773008200, + 842347750, + 955616667, + 288248678, + -1, + 139782188, + 527921012, + 427512540, + 926191224, + 730876481, + -1, + 772071609, + -1, + -1, + 238923093, + 605677027, + -1, + -1, + 311193014, + 862986886, + 503432326, + 901861293, + -1, + 711837824, + 514782490, + -1, + -1, + 750741649, + -1, + -1, + 485491663, + 315855565, + -1, + 879669800, + -1, + 526256227, + -1, + -1, + 807482057, + 876626013, + 321167902, + 274836740, + 625498000, + -1, + 24346081, + 47091417, + -1, + 327156775, + 233957030, + 439301085, + 267785003, + 987698883, + 60783581, + 331287948, + 314294438, + 391359533, + 602052723, + 22915329, + 152066638, + 806024885, + 465784883, + -1, + 83143368, + 98775956, + -1, + 239651577, + -1, + -1, + 65645516, + 724210027, + 942630774, + -1, + 867809895, + 135073539, + -1, + 470191677, + 325506791, + 865325498, + 547442936, + 334568625, + 73187132, + 194191173, + 757540735, + 88096854, + 617124338, + -1, + 360609393, + 793419955, + -1, + 179501080, + 522147245, + 40495712, + 774874779, + 871096704, + 815543626, + -1, + 43859039, + -1, + -1, + 401192297, + 394035035, + 904420947, + 54040335, + 125647376, + -1, + 534912417, + 44166511, + -1, + -1, + -1, + 306817764, + 242313087, + -1, + 599179085, + 656623792, + 728446803, + 94512636, + 897453758, + 950350140, + 371005024, + 907742899, + 953654051, + -1, + 892162083, + 388088527, + -1, + -1, + 822334122, + 40672378, + -1, + 387993028, + 847857595, + 634669033, + 581178355, + -1, + 673947961, + 560935999, + -1, + 598190187, + 924291682, + 295524853, + 907837110, + 682730500, + 360479513, + 867702946, + 310774108, + -1, + -1, + 169785339, + 889897632, + 21796555, + 183758205, + 399580419, + 140272208, + 336123970, + 482533540, + 505075061, + 321061926, + 465926815, + 591561419, + 867561846, + 374326611, + 863802290, + 741253010, + -1, + 677435521, + 242159213, + -1, + 185672837, + 433094046, + 805120592, + 465414141, + 972538746, + -1, + 341152800, + 310259077, + -1, + 589116192, + 628302494, + -1, + 361986943, + 707756552, + 900876547, + -1, + -1, + 433773799, + 347654248, + 86572350, + 803628335, + -1, + -1, + -1, + 640637285, + 85434015, + -1, + 84789746, + 363823760, + 593180844, + -1, + -1, + -1, + 804466907, + 452999091, + 630902482, + 796405190, + 52228223, + -1, + 795983580, + -1, + 440812459, + 323556947, + -1, + 634393089, + 552080506, + 276941958, + -1, + 949812538, + 731894889, + -1, + 273570227, + 100966023, + 586873409, + 108069572, + -1, + 252859067, + -1, + -1, + -1, + -1, + -1, + 612826394, + -1, + -1, + 819358518, + 836674935, + 729036542, + -1, + 566379235, + 257061889, + -1, + -1, + -1, + -1, + 768038216, + 374451238, + 5412661, + 426415419, + 986799075, + 557917709, + 35917056, + 376159333, + -1, + 832421023, + 339579265, + 580656315, + 61273053, + 725885070, + 923228227, + -1, + 522866236, + 666036930, + 790430551, + 456676505, + 956048336, + 654702662, + 10760205, + -1, + 450367979, + 561378234, + 975167654, + -1, + 35558410, + 769957440, + 111310408, + -1, + -1, + 790985304, + 395268292, + 528752744, + 802102327, + 238013043, + 118041757, + 46859001, + -1, + -1, + 103919913, + -1, + 785385811, + 832885357, + 623291495, + 506941425, + 773240751, + 56208269, + 558953694, + 837711115, + -1, + 430618236, + 61622489, + 764068945, + 394297184, + 362933170, + -1, + 863640605, + 116004914, + 227792075, + -1, + 617659155, + 358406602, + 939065520, + -1, + 801978023, + 934691354, + -1, + 722360366, + -1, + 278485237, + 337710834, + -1, + 684249050, + 715981454, + -1, + -1, + 211915887, + 450847219, + -1, + 476426749, + 581666333, + -1, + 254592114, + -1, + -1, + -1, + 269459015, + 338834685, + 144394212, + 89908876, + -1, + 879984733, + 611485208, + -1, + 503948422, + 579501485, + 488341873, + -1, + 372201831, + 479178165, + -1, + 394621148, + 138492833, + 180628165, + 252664367, + 53895041, + 904543268, + 480353743, + 802019405, + -1, + 438167343, + 809179939, + -1, + 355281426, + -1, + 942092816, + 323891852, + 411724067, + -1, + 936924030, + 421508414, + -1, + 25066265, + 876594120, + -1, + 491477387, + -1, + 484836237, + 707582384, + 882928388, + 943594344, + 71594764, + 196930962, + -1, + -1, + 797499019, + 354684130, + 702120790, + -1, + 713813154, + 349724875, + 802006196, + -1, + 600525520, + 919517667, + -1, + 892038201, + 110943731, + 488053899, + 527860024, + 174802600, + 998751650, + 577379267, + 564546460, + 790184915, + 973152922, + 111361789, + 457162107, + 849588000, + -1, + -1, + 198024753, + 695446693, + -1, + 436544697, + 217062895, + 850196644, + -1, + 411562131, + 867525598, + -1, + 968010425, + 473550290, + 248945327, + 77550544, + -1, + -1, + -1, + -1, + 949685558, + 660148441, + 356073312, + 539369282, + 919126940, + 303338724, + 767801347, + 248197302, + -1, + -1, + 386459432, + 623404729, + 248410815, + 614440746, + 158794840, + 136702498, + 357613133, + 666583253, + 573962316, + 649087468, + 737969019, + 699215934, + 935417797, + -1, + 497385157, + 193117939, + 764825700, + 900507868, + 128961997, + 740367924, + 109586903, + 518099849, + 490704849, + 66981658, + -1, + 136025411, + 621374799, + -1, + 974545198, + 232276512, + -1, + 209184200, + 913300371, + -1, + -1, + 244691950, + 910393497, + 465309921, + 539832490, + -1, + 410644396, + 563913996, + 840464301, + 526160871, + 724520842, + 203475852, + -1, + 439292414, + -1, + -1, + 225825452, + -1, + 254402801, + 855424152, + 148992176, + 636265409, + -1, + -1, + 184237181, + 212350562, + 457495841, + 897400777, + 213434932, + 942533515, + -1, + 405512338, + -1, + -1, + 471301701, + 288916985, + 21970625, + 234929281, + 568646247, + -1, + -1, + 177427414, + 276624301, + 55042815, + 21071839, + 327087841, + 728522113, + -1, + 422356488, + 200089221, + 708621631, + 504348064, + 997743462, + -1, + 678441548, + 941966895, + 607764212, + -1, + -1, + 264207547, + 909490502, + 596607958, + 732182625, + 145378187, + 332726571, + -1, + 858691515, + 789408586, + 49069863, + 228448087, + 222692325, + 28080285, + -1, + 977824190, + -1, + 37857361, + 131507007, + 422775311, + 347795059, + 879007354, + 979922502, + -1, + 426570437, + -1, + 820704067, + 266852532, + 417188113, + 826216339, + 622664257, + 709190492, + -1, + 858678181, + 624743, + -1, + 666878167, + -1, + -1, + 135360660, + -1, + 256895764, + 575572390, + 898591713, + 15640964, + 838314826, + 300777570, + -1, + -1, + 918316267, + 53092608, + 320582287, + 894835756, + 781542235, + 196280471, + 785411896, + 858396806, + -1, + 62665774, + 68028329, + 531240389, + 168824306, + 198649819, + 904242045, + -1, + -1, + 932029818, + -1, + 77506490, + -1, + 482179827, + 398027207, + -1, + 15898903, + 803611727, + 6707979, + 823260811, + 961110820, + -1, + -1, + 575702579, + 402804708, + 89850193, + -1, + 473500491, + 165795773, + 57123637, + 544790796, + 516747618, + 275754132, + 964968636, + 904818146, + -1, + 162108436, + 393579104, + 93173585, + 448460309, + 476558179, + -1, + 589762990, + 949564725, + 629779673, + -1, + -1, + -1, + -1, + -1, + 479850478, + 913012655, + 526849737, + -1, + 203029445, + 333519825, + 304264843, + -1, + 281798480, + 646911544, + 10556789, + -1, + -1, + -1, + -1, + -1, + 643052305, + -1, + -1, + 729396402, + -1, + 854589925, + 56313062, + 422025502, + 288436712, + 880079414, + 342227016, + -1, + 177871898, + 49399435, + 180481570, + 376725831, + 648049261, + 77380674, + 106800273, + 271646180, + 985787423, + 97817590, + -1, + 542000069, + -1, + 242542345, + 172320753, + 693387989, + 791780606, + -1, + 218059580, + 520532450, + -1, + 291219204, + 347628132, + 628751842, + 388516311, + 401952770, + -1, + 285585878, + 481253583, + 140923131, + 117836312, + 838097729, + -1, + 307908042, + 778055878, + -1, + 84241136, + 898540903, + 939114548, + -1, + 156282142, + 393345884, + 957267704, + 17616680, + 414545750, + 774777813, + 26539175, + 603254809, + -1, + -1, + 687897371, + 81370075, + 326826837, + 614433001, + 963913615, + -1, + 116586098, + -1, + 750852010, + 632184016, + -1, + 859495276, + 925865214, + 319687811, + 392622212, + 139270706, + 738948256, + -1, + -1, + 351202233, + -1, + -1, + 940403211, + 640895043, + -1, + 235377839, + 591907056, + 605898297, + 293465623, + -1, + 194037004, + 725199082, + -1, + 518867690, + 961490949, + 863648188, + 70621323, + 832689479, + -1, + 445865595, + -1, + 329704873, + -1, + -1, + 899931153, + 312033563, + -1, + 515673561, + -1, + 425772739, + 9563455, + 912872751, + 543446051, + 983605466, + 835844190, + -1, + 749705880, + 627571102, + 480159482, + 100112904, + 263836513, + 751987279, + -1, + 879726184, + 133681604, + 186440680, + -1, + 12685404, + 514496004, + -1, + 635076459, + 425456313, + 345189859, + 289496039, + 188149341, + -1, + -1, + -1, + 149642891, + 137011426, + 880161593, + 911509834, + 682810318, + -1, + 757653921, + 654636101, + -1, + 67577618, + -1, + -1, + 780803491, + 66896719, + 977035320, + 297203493, + -1, + -1, + 754942276, + 456764433, + 48620275, + 230623603, + 700937482, + 163397159, + 914964665, + 331046891, + 569692341, + 951700757, + 951615793, + 63081212, + 999287452, + 88738698, + -1, + 634337174, + 278344138, + -1, + 107147525, + 49198032, + -1, + 33038476, + -1, + 654524986, + -1, + 816594919, + 52287600, + -1, + -1, + 838000451, + -1, + 935002093, + -1, + -1, + 898809998, + 924061597, + 777874493, + -1, + 254006570, + 514719448, + 441115501, + 500723765, + 725602720, + 705176788, + 971667768, + -1, + 599339987, + 439463899, + -1, + 731787661, + 671364119, + 204318700, + -1, + 142419372, + 483293125, + 268604242, + 433487506, + 68586068, + -1, + -1, + -1, + 699081664, + 76126192, + -1, + 712247831, + 301963888, + -1, + 908029478, + 871092605, + 681154450, + 709326554, + 20784561, + 425988879, + -1, + 559768194, + 120332156, + 122667161, + 762796231, + -1, + 88764895, + 453331122, + 264753214, + -1, + -1, + 420802632, + 382661732, + 533048103, + 581915572, + 101849424, + -1, + -1, + -1, + 591194409, + 396747862, + 967239859, + 406567019, + 112220200, + 81774626, + -1, + -1, + -1, + -1, + 726873888, + 849298467, + 150212394, + 291809095, + 621511471, + -1, + 338359929, + -1, + 758660873, + 604867294, + -1, + 117082588, + 212442073, + -1, + -1, + -1, + 197669126, + 473659577, + 53135920, + -1, + 546538416, + -1, + 587563014, + 246059382, + -1, + 849558697, + 271391193, + 133625887, + 166139849, + 425566602, + 216520392, + -1, + 935205328, + -1, + 816686218, + 371503458, + 154529316, + 434393487, + 584354844, + 946089934, + 341446998, + 125127936, + 130404230, + 57647311, + -1, + 963280496, + 375942489, + 388548657, + 776010600, + 500134727, + 918358743, + 882586494, + -1, + 423013403, + 888561988, + -1, + 358800763, + 891710157, + -1, + 164113352, + 857746475, + 223242469, + 465861622, + 181144237, + 400460923, + 295242709, + 939791983, + 523404437, + -1, + 590596098, + -1, + 185486218, + 387888317, + 727461389, + 507736321, + -1, + 475191634, + -1, + 117188980, + 395361163, + 639247097, + 83233642, + 314126482, + 716265630, + -1, + 929843813, + -1, + 362303357, + -1, + 770756519, + 831287469, + 255003009, + 624458598, + -1, + 655848818, + 843715350, + 480288741, + 203687952, + 899702065, + -1, + -1, + 296331882, + -1, + 517931908, + 26859484, + -1, + -1, + 140970359, + -1, + 556077441, + 247884078, + 249817642, + 768419399, + 829431130, + -1, + 763840959, + 840057161, + 723674519, + -1, + 475280393, + 129657196, + -1, + -1, + -1, + 894523276, + -1, + 279772948, + -1, + 206246149, + -1, + -1, + 275969567, + 553958906, + -1, + 844415163, + 485683637, + 820124098, + 384656204, + 283718850, + 450471770, + -1, + 221655848, + 12344972, + 416851483, + 481649799, + -1, + 783957687, + 619871772, + 984108332, + 806259284, + 780839409, + -1, + -1, + -1, + 88614493, + 626568852, + -1, + 410451190, + 424229403, + -1, + -1, + 654541706, + 728169352, + 799623597, + 627558080, + 121403242, + -1, + 673179705, + 850168341, + 622295265, + 876298902, + 357948951, + 932607186, + -1, + 977525305, + 961377965, + 482155801, + -1, + 811171696, + -1, + 7889341, + 209652825, + -1, + 514135968, + -1, + 914448871, + 886777544, + 83501411, + 433039151, + 355747042, + -1, + 303950664, + -1, + 96310778, + 341055013, + 55760501, + 920173577, + -1, + 220500863, + 674307770, + -1, + 709352341, + -1, + 639281269, + 448459812, + 638052983, + 473063797, + 401506580, + 936518732, + 938767473, + 535648585, + 308491152, + -1, + -1, + 835882573, + 575057243, + 627014378, + 171450584, + 222552392, + 830654350, + 575895118, + 977521131, + -1, + -1, + 640397444, + 776252520, + 631507127, + -1, + 527568361, + 408485406, + 659488188, + 867805127, + -1, + -1, + 476134528, + 567549091, + 836347038, + 134141955, + -1, + -1, + 663002601, + 289579928, + -1, + -1, + -1, + 421652344, + -1, + -1, + 384173386, + 612673126, + 469942514, + -1, + -1, + 307971700, + 310768680, + -1, + 191871849, + -1, + 119351425, + 236984327, + 505307739, + -1, + -1, + 287326470, + 764373851, + 468257315, + 267356844, + 672014336, + 494398323, + -1, + 91832733, + 49606272, + -1, + -1, + -1, + 282222611, + 993076652, + -1, + 649403512, + 201352483, + 234048983, + 499111866, + 764673019, + -1, + -1, + -1, + 319470055, + 260955164, + 253076644, + 460158753, + 441306119, + -1, + -1, + -1, + 714855029, + 688014464, + 339247719, + -1, + -1, + 389143342, + 78164552, + 768471865, + 503184397, + 276109706, + 369624182, + 862441102, + 50837840, + 976570330, + -1, + 773468773, + 679440816, + -1, + 771615689, + 843000770, + 652142452, + 701580313, + 699665435, + 498758790, + -1, + 479029043, + -1, + 143781211, + 116827800, + 133128197, + -1, + 781037971, + 245047739, + 742905781, + 966570090, + -1, + 171279463, + 908208262, + 866027220, + 742988042, + 98993584, + 905177613, + 225637656, + 846044931, + -1, + 814101352, + -1, + 612499976, + -1, + 243632588, + -1, + 155125932, + -1, + -1, + -1, + 247056350, + 581445508, + 379022127, + -1, + -1, + 719889860, + 41065546, + 909052787, + 693034491, + 819771782, + -1, + 179484409, + 521190060, + 523655708, + -1, + 575528140, + 991183030, + 289515191, + 949353557, + 424480233, + 465859331, + -1, + 459199229, + -1, + 643166916, + 738037557, + 733171714, + 223908262, + 44209782, + 914969608, + 518843494, + 901661736, + -1, + 903210697, + 478742673, + -1, + 765327218, + 663928684, + 239052615, + 10306791, + 362042531, + 66893036, + -1, + -1, + 910154418, + 321443166, + 301039139, + 702777182, + 857217623, + -1, + 392125900, + -1, + -1, + 650456342, + 30276411, + 883777547, + -1, + -1, + 495443028, + 314281890, + 735165995, + 811936419, + -1, + 553248955, + 975144461, + -1, + 249510215, + -1, + 241726745, + -1, + -1, + 847403075, + -1, + 887287603, + 728611895, + 661459087, + 711193455, + 869879359, + 828429281, + -1, + 185475314, + 539421654, + 173276362, + -1, + 133413790, + 819553952, + 779420186, + 714334664, + 379755819, + -1, + -1, + -1, + 86235566, + 478601525, + -1, + -1, + 17352346, + 915531144, + -1, + -1, + 832434033, + 781344060, + -1, + 144333908, + -1, + -1, + 869240696, + -1, + -1, + 545885242, + -1, + 307843445, + 801344770, + -1, + 231465799, + -1, + 251082174, + -1, + 694066511, + 871619556, + 396783213, + 301632421, + 296419690, + 843462608, + -1, + 137284311, + 24269781, + 946150774, + 641436695, + 904777782, + 850479355, + 257929908, + 989501192, + 213299805, + 604661723, + 646163511, + 608941577, + 509548724, + -1, + -1, + 605705073, + 470821467, + 656347781, + -1, + 567342088, + 217078574, + 232433011, + -1, + -1, + 224051717, + -1, + -1, + 86439402, + 656897930, + 131789026, + -1, + 705341978, + -1, + 361074251, + 396772574, + 747620405, + 953641567, + 814204905, + -1, + 245013355, + 699968085, + 908004129, + 269118487, + -1, + 694133036, + 313670615, + 685452232, + -1, + -1, + -1, + -1, + 648246590, + -1, + 739138001, + 112845293, + -1, + -1, + -1, + 697237907, + 674456611, + 231812777, + 477741696, + -1, + 308298927, + 132620568, + -1, + 663279205, + -1, + 986496790, + -1, + 369831584, + 79452801, + 509906505, + -1, + 670703999, + 481668901, + 537977153, + 734037755, + 387418656, + 956738921, + 500262859, + 193705753, + -1, + 168898728, + 201366806, + 494778761, + 793362863, + 621146798, + 444108168, + -1, + 608202711, + 294365537, + 518576606, + 200781991, + 347834707, + -1, + 444383586, + 540898251, + 39265802, + 199253002, + -1, + 505559012, + 854649933, + 740920491, + -1, + 633270145, + -1, + 337083120, + -1, + -1, + 903916214, + -1, + 715119746, + 333461513, + 661085239, + 939524019, + 129748914, + 308554178, + 939522344, + 934863619, + 750926560, + 766195280, + 98630306, + -1, + -1, + 165591683, + 421375438, + 925462241, + 578717906, + -1, + 36453791, + 178034098, + 28957510, + 89315042, + 934951612, + 465950411, + -1, + -1, + 280156685, + 358369513, + 148930651, + 809566431, + 822088382, + 385174649, + 101428737, + 419060528, + 911312347, + 513679290, + -1, + 858938338, + -1, + 537196179, + 650671385, + 765674959, + 394944803, + -1, + 211033218, + 312984571, + 396472216, + -1, + 734871118, + -1, + 981872271, + 942844868, + -1, + -1, + 578748165, + -1, + -1, + -1, + 12461406, + 552413639, + -1, + -1, + 339035368, + 26128626, + -1, + 449336101, + 452743061, + 693517094, + 226286977, + 808197758, + 456860375, + 554001297, + 694560423, + 116554008, + -1, + 670951773, + -1, + 487153969, + 98568561, + 770746372, + 219462231, + -1, + 677598755, + 13576787, + -1, + 129271555, + 792459238, + 785513578, + 898418014, + 811323633, + 831322484, + 360925999, + 148943151, + 665624978, + 289170900, + 837384369, + 815079378, + 637577901, + 825394818, + -1, + -1, + 409941681, + 698016861, + 262578762, + -1, + 169520659, + 940663813, + 663969470, + 632720294, + -1, + 33550343, + 985922134, + 971418239, + -1, + -1, + 547494932, + -1, + 989243716, + 940143726, + 766179200, + 614782883, + 791967750, + 782476721, + -1, + 219361320, + 999535128, + 273602302, + 570854076, + 949152912, + 67680304, + 259245561, + 804612023, + -1, + 29909587, + -1, + 417424492, + 418581425, + -1, + -1, + 351256484, + 168671302, + 756366145, + 120219566, + 553963847, + 623523437, + 116438010, + 235572390, + -1, + 865786483, + 147747882, + -1, + 868251115, + -1, + 588109438, + 608536097, + 340941404, + 789958368, + 310794036, + 786348261, + 198774675, + 890153609, + 405418792, + 891414454, + 84979597, + 136097823, + -1, + 592344825, + 696784456, + -1, + -1, + 734155188, + 755510816, + 665177460, + 862332252, + -1, + -1, + -1, + 194246700, + 767650210, + 356570349, + 584811325, + 514150152, + 441496082, + -1, + 675753693, + 535729822, + 640409916, + 587641974, + 448451528, + -1, + 374994788, + 184468834, + 301107786, + 539226550, + 413988168, + -1, + 179269065, + 817500312, + -1, + 480776828, + 715217689, + 188871980, + -1, + -1, + 727439151, + 172126659, + 830023987, + 867900452, + -1, + 746746484, + -1, + -1, + 943716468, + 550226812, + 488154696, + 323679226, + -1, + 612490129, + 635603690, + 129884821, + 934527711, + 994654675, + 966748644, + 965851641, + 601185357, + 979874152, + 266438336, + 260952112, + 170809138, + -1, + 946943702, + -1, + 409830176, + -1, + -1, + 863425100, + 589382790, + 93952089, + 414479099, + -1, + 902498520, + -1, + 400871859, + 292896779, + -1, + 51703190, + -1, + 962223489, + 497987704, + 141196192, + 6241655, + 817072364, + 142877378, + 756324410, + 810399536, + -1, + 968676178, + 546527781, + -1, + 182442061, + 304789812, + 432194434, + 2394529, + 978228294, + 979385179, + -1, + -1, + 122174315, + 90534318, + 82087327, + -1, + 618654652, + 350641550, + 706609635, + 574738722, + 675025109, + 205723387, + -1, + 316731514, + 556417869, + 490481907, + 693330020, + 906553334, + 336621256, + -1, + 661421333, + 585197305, + -1, + -1, + 871991695, + 880488060, + -1, + 395938164, + 57963520, + 504375213, + 81549658, + -1, + 514861925, + -1, + -1, + -1, + -1, + 5365760, + 643991966, + -1, + -1, + 26452212, + -1, + -1, + 745259155, + 187207826, + 299526451, + -1, + 305690617, + 338850571, + 559062177, + -1, + 211911895, + -1, + -1, + 465082003, + -1, + 99944615, + 754952756, + 478073214, + 603017865, + 461747316, + 500319066, + 320433196, + 607062856, + 286730880, + 750162456, + 307119723, + 899652590, + 155377894, + 746025336, + 890376033, + 208734512, + 951688166, + 423372254, + 233097967, + 32700543, + -1, + 879422177, + 911415408, + -1, + 261638768, + 724865037, + -1, + -1, + -1, + 105939843, + -1, + 798562185, + -1, + -1, + 92136924, + 376561799, + -1, + 953110046, + 118176665, + -1, + 431588863, + 281338122, + 158373073, + 815876656, + 152568387, + -1, + 200806471, + 218450035, + 888643062, + 132240136, + 683761963, + 551073522, + 93560110, + -1, + 355182347, + -1, + 3896084, + 253578585, + 252494775, + 977613308, + 808049145, + 989492935, + -1, + 325972748, + 490927456, + 8713748, + 355503901, + -1, + -1, + 266618092, + 273932783, + -1, + 197577118, + 610572708, + 944620767, + 963098658, + -1, + 976522421, + 444970568, + -1, + -1, + 550557586, + 365139751, + 756433899, + 707095938, + -1, + 603074611, + -1, + 186911580, + -1, + 403869482, + 742437495, + 733547210, + -1, + 617598814, + 478985934, + 581429014, + -1, + -1, + 698635304, + 133298877, + 320571389, + 974768664, + 438100127, + 912896881, + 791428730, + 885972370, + -1, + -1, + 525777078, + -1, + 704489022, + 10131480, + 779625130, + 308641450, + 643268896, + -1, + 501921363, + 746560034, + -1, + 682390133, + 656407214, + 660289090, + 584318354, + 143611829, + -1, + 122122236, + -1, + 10769827, + 834554650, + 108345914, + -1, + 817477308, + 604104886, + 863196802, + -1, + 141452282, + 457006445, + 778901275, + 390286608, + -1, + 905526175, + 260866077, + -1, + -1, + 442178643, + -1, + 912468650, + -1, + 789016176, + -1, + -1, + 307374782, + 879515128, + -1, + 963657992, + 189735129, + 429440536, + -1, + 231575465, + 626054003, + -1, + 949165813, + 433758075, + 930092055, + 761299363, + -1, + 344754920, + 706785783, + -1, + 236364055, + 551640674, + 563826427, + 605460924, + 151970460, + 739175697, + 626732546, + -1, + 298093947, + 912709137, + -1, + 118102598, + 844108231, + -1, + 269472612, + 264677211, + 116528731, + 140913892, + 422796102, + 713861367, + 700278341, + 797596701, + -1, + -1, + -1, + -1, + 137058068, + 226984268, + 437910711, + 667273890, + 254268659, + 710036154, + 453001050, + 214041251, + 292686882, + -1, + 388123158, + 724991502, + 89741072, + 615683359, + 276672262, + 316521271, + 648282553, + 418705426, + 716833945, + 854365813, + -1, + 973323524, + -1, + 150874736, + 834889274, + -1, + 900503324, + 262552273, + 219906933, + 69198808, + -1, + 328368973, + -1, + 176325745, + -1, + 649935778, + 525812851, + -1, + -1, + 341704506, + -1, + 261666250, + 889838595, + -1, + 731927059, + 968728724, + -1, + 631645603, + -1, + -1, + -1, + 154835717, + 143127238, + 954264302, + 634942306, + -1, + 235876935, + -1, + -1, + 272303370, + 147180552, + -1, + 65081453, + 78692084, + 328242100, + 338274279, + 251323661, + -1, + 498763821, + 430584584, + -1, + -1, + 82551685, + -1, + 255431394, + -1, + 877690677, + -1, + -1, + 230152907, + 185757747, + 503328218, + 759808430, + 962011849, + 969736013, + 559615653, + -1, + 691533189, + 718682861, + 472344600, + -1, + -1, + 62432967, + -1, + 782597735, + 686822286, + 874381561, + 363639483, + 898634892, + -1, + 967267534, + -1, + 444275792, + 160103635, + 618530878, + 163005421, + -1, + 992411336, + 731459233, + -1, + -1, + -1, + 226487245, + 233748537, + 180882465, + 182664922, + 663533536, + 689100175, + -1, + -1, + 751617207, + 911062229, + 86727084, + 774763075, + -1, + -1, + 213684287, + 482293317, + 581791387, + 713828944, + 409982731, + 250816711, + -1, + 736421650, + -1, + 907616183, + 861689435, + -1, + 9190587, + -1, + -1, + -1, + 402160858, + -1, + -1, + 812068850, + 199365684, + 494177403, + 600584083, + -1, + 825934595, + 600395559, + 658293517, + 844488419, + 833611495, + 902144810, + 260192980, + 727797161, + 82707339, + -1, + 848271912, + 67804780, + -1, + 821960476, + 204698489, + 130898789, + 399660450, + 550428406, + 229317835, + -1, + -1, + 129851346, + 29938517, + 855086071, + 405951632, + -1, + 887967595, + -1, + 531036034, + 803773034, + 635330676, + 263442433, + -1, + 38702964, + 269218547, + -1, + 662830048, + 2447991, + 944459724, + 670510762, + 171619844, + -1, + 776402952, + 667348485, + 573679498, + 747022008, + 258288469, + 678671709, + 62582903, + 60246533, + 221276174, + 456761918, + -1, + -1, + 566958029, + -1, + -1, + -1, + 795419459, + -1, + -1, + 647754347, + -1, + 727385175, + 831602995, + 177060254, + 908776535, + 85459828, + 767216417, + 501594188, + -1, + 562484570, + 217103744, + 298009216, + 119556788, + -1, + 702147945, + 903261700, + 870272961, + 87184023, + 176812206, + 542624942, + 173663131, + 879067089, + 888439205, + 444982303, + 720967576, + 209668013, + 613538463, + 567136740, + -1, + 798996657, + 356562084, + -1, + 581721032, + -1, + 874995813, + 336210246, + 552148696, + 195630410, + 248008757, + 580030763, + 564627851, + 102243687, + -1, + 168663486, + 592791095, + -1, + 754524660, + 897495437, + 915173528, + -1, + 841906980, + 289022533, + -1, + -1, + 325122728, + -1, + 39517759, + -1, + 509475143, + 89902263, + 946291191, + 162485285, + -1, + 154648049, + 718123576, + 40851859, + 222991205, + 754797107, + 814638920, + 791836048, + -1, + 718529074, + -1, + -1, + -1, + -1, + 671279786, + 355333251, + 234166888, + 204451614, + 975372961, + 776508455, + 750728789, + 761834930, + -1, + 776223192, + -1, + 286775717, + -1, + -1, + 218381756, + 940540594, + 918596740, + 796923167, + -1, + 775507161, + -1, + 905516239, + 695992720, + 237761271, + 138433910, + 212890565, + -1, + 484136979, + -1, + -1, + 126963294, + 796703642, + 403920499, + 367105627, + -1, + 42220309, + 863964574, + 61007948, + -1, + 548558832, + -1, + 991207420, + -1, + 681408862, + 588265477, + -1, + 40055666, + 449116096, + 393279420, + 71147556, + 860214558, + 136458694, + -1, + 479507046, + -1, + -1, + -1, + 41763725, + -1, + -1, + -1, + 470555177, + 270531288, + 294037445, + 775459491, + -1, + 167734122, + 480078083, + 343296007, + 108742787, + -1, + 402686132, + 159741837, + 521487582, + -1, + 179053729, + 447597991, + -1, + 408544370, + 639140164, + -1, + -1, + -1, + 513069186, + 561068481, + -1, + -1, + 920939289, + -1, + 532999010, + 259989012, + 370610557, + 149738729, + 622910728, + 863830111, + -1, + -1, + 876707947, + -1, + 223215740, + 838417199, + 759936338, + 990376914, + -1, + 457811870, + -1, + -1, + 506544949, + -1, + 299462644, + 119792544, + 798110333, + 243756691, + 268043729, + 865090075, + 860558032, + -1, + -1, + 699670776, + 839876614, + -1, + 313506829, + -1, + 360211497, + -1, + 658819553, + -1, + 570832064, + 471812512, + 497467218, + 630203516, + 656909240, + 973570500, + -1, + 616538289, + 584896942, + 842627836, + 294425661, + 698597453, + 937595747, + 949965959, + 78455645, + 323418984, + 981847085, + -1, + 837060522, + 697283998, + -1, + 72239774, + -1, + 532917207, + 26959612, + 79101557, + 979198214, + -1, + -1, + -1, + 351311435, + 789651370, + 344061380, + -1, + -1, + 864234604, + 380413382, + 312189452, + 181993184, + 84352344, + -1, + 561987965, + 472004210, + -1, + 5021979, + -1, + 453859840, + -1, + 112847553, + 994074927, + 656379559, + -1, + -1, + -1, + 882418523, + 928647561, + 392133530, + 53990290, + -1, + 712619449, + 367085276, + 72979478, + 777209302, + -1, + 737812554, + 900635721, + 44339909, + 98581110, + 47881679, + -1, + 13217915, + 726077559, + -1, + 896064143, + 911282794, + 96279474, + 16634182, + -1, + 1415720, + 501940803, + -1, + -1, + 531336306, + 830225318, + -1, + 406101420, + 931503176, + -1, + 53583122, + -1, + 6114869, + 493494088, + 933179494, + 705563462, + -1, + 33510086, + 50335518, + 747354755, + 268082321, + 42630970, + -1, + 174898741, + 918819374, + -1, + -1, + 562081770, + 550102337, + 800493323, + 519223633, + 861372649, + 295699543, + -1, + 294636310, + 310750262, + -1, + 66211296, + -1, + -1, + 196010026, + 465351273, + 57789261, + -1, + 760975155, + 751729857, + 737453530, + 241516465, + -1, + 865378941, + 153615750, + 909725158, + 243763065, + 435328777, + 504106694, + 472916116, + 945230777, + -1, + 342009591, + 820574994, + -1, + 283268564, + 966775732, + 348795152, + 210708363, + 246075671, + 546318255, + 649423569, + -1, + 862857891, + -1, + 214748795, + 532226461, + -1, + 968735908, + 579850387, + -1, + 758735689, + -1, + -1, + -1, + 126072148, + 302186940, + 760529697, + -1, + -1, + 647169029, + -1, + -1, + 495187680, + 501757490, + 384795785, + 221593239, + 454656695, + 992229309, + 269167619, + 631713721, + 705751960, + -1, + 710583798, + -1, + 860676054, + 219701001, + 690995723, + 853700811, + 531209733, + 507202585, + 335042972, + 706223165, + 295151039, + -1, + 844692295, + 947411625, + 527061441, + 342960869, + -1, + 891907846, + -1, + 178778, + 544977202, + -1, + 123695012, + 384995359, + 950172061, + -1, + 706919758, + -1, + -1, + -1, + 738555229, + 105341124, + 436256789, + 539680751, + -1, + 854278365, + 981051687, + -1, + 44755661, + 160022542, + 298350926, + -1, + 170734305, + 295653284, + 280183675, + 687978892, + -1, + -1, + 360770830, + 269632956, + 776547827, + -1, + 511591289, + 41937988, + 224094024, + 385061053, + 47039958, + 541289668, + 914366612, + 723862001, + 801280172, + 307765510, + -1, + -1, + -1, + -1, + 254508712, + -1, + -1, + 576455008, + -1, + 140855770, + 756956847, + 910743440, + -1, + 196261591, + 779205792, + -1, + 417196559, + 710284626, + 852186792, + 826589408, + -1, + -1, + 999573122, + -1, + 633912736, + 966970545, + -1, + -1, + -1, + -1, + -1, + 493333924, + 788784607, + 185020953, + 989546315, + 649394193, + -1, + -1, + -1, + -1, + 333849370, + 40018691, + 522315937, + -1, + -1, + 760771472, + -1, + -1, + 139381045, + -1, + 228860907, + -1, + 238592113, + -1, + -1, + 551472859, + -1, + 538950504, + -1, + 635017184, + -1, + 768609143, + -1, + -1, + -1, + 327238218, + 982051711, + -1, + 611996786, + 77356381, + 751927921, + 358221965, + 155286043, + 901717238, + 717312587, + 193190462, + -1, + 198711439, + 916923505, + 6115603, + 3930579, + 702865929, + 427471417, + 540686474, + 468195459, + -1, + -1, + 369021604, + -1, + 695356823, + -1, + 89883352, + -1, + 229772890, + -1, + -1, + -1, + 653665677, + 938757717, + -1, + 499313782, + 466344611, + 716251716, + 799170595, + 393195774, + 676386777, + 955061248, + 672111858, + 971434633, + 197609987, + -1, + -1, + -1, + -1, + -1, + 959534509, + 352612575, + 340581182, + 506736699, + 682140839, + 954739617, + 313355427, + -1, + -1, + 608838565, + -1, + 698035701, + -1, + 437997236, + 613622226, + 576530421, + 249053328, + 505488276, + -1, + -1, + 266375279, + 242280161, + 228278318, + 772541137, + 402288794, + -1, + 428678350, + -1, + 266625409, + 598461729, + 8434143, + 964406376, + -1, + -1, + 355115240, + 426937385, + 25495510, + -1, + -1, + 89289813, + -1, + 902663848, + 768270153, + -1, + 359573780, + -1, + 571362064, + 132999779, + 872876914, + 967296785, + 271015404, + -1, + 44507376, + 122979081, + -1, + 168517556, + 95408400, + 335478472, + 665709592, + 64568528, + 432645270, + -1, + 693754021, + -1, + 220123508, + 232127364, + 780013729, + 801827089, + -1, + 326713910, + 53866406, + 351793103, + 984169299, + 192708050, + 218369148, + -1, + -1, + -1, + 490298017, + -1, + 909961570, + 433318256, + 715333795, + 117674446, + 759266763, + 103164276, + 572871404, + -1, + -1, + 791761932, + 664787007, + 962759579, + 676379808, + 932729808, + -1, + -1, + -1, + 352560162, + 664802875, + -1, + -1, + 189513222, + 75815587, + 126262739, + 589200389, + 921744259, + -1, + -1, + -1, + 538445427, + 175078032, + 964827366, + -1, + -1, + 611560287, + -1, + 315424503, + 448346089, + -1, + 131896115, + 34215663, + 420336924, + 506735320, + 921804837, + 949681039, + 362863529, + 291268402, + 629226823, + 490951853, + 934195301, + 217331596, + 488652879, + -1, + -1, + 511534507, + 9550094, + -1, + -1, + 207049485, + 597374197, + -1, + 962547360, + 378973907, + 458856769, + -1, + 352669588, + 158536090, + 308196921, + 23749714, + 93879502, + 77714460, + -1, + 524399202, + -1, + 234276152, + -1, + 55823784, + -1, + -1, + -1, + 606011069, + 758454975, + 822165114, + 188622936, + -1, + 697626530, + 582671849, + 464964491, + 123391134, + 75371159, + 423475999, + 391083328, + 539190293, + 319120347, + 735319125, + 438940870, + 687974763, + 744861838, + 700891501, + 356352931, + 966617588, + 26109708, + 914303612, + 281393727, + 181914018, + 940836153, + -1, + 19366883, + 746672756, + -1, + 497618009, + 130500140, + 400428995, + 625057144, + -1, + 688079094, + 559919535, + 255754237, + 397424213, + 62414551, + -1, + -1, + 620778270, + -1, + 958153262, + -1, + 169777103, + -1, + -1, + 647875668, + 238946860, + 573418467, + 929511995, + 870586662, + 219970641, + -1, + -1, + -1, + -1, + 58536162, + 818232969, + 501509171, + 949180274, + -1, + 129166508, + 793013030, + 539814792, + -1, + 737486073, + 235129985, + 971345510, + 210214914, + -1, + 879077342, + 701028036, + -1, + 912564012, + 747086383, + -1, + 404168324, + 572918641, + 33828902, + 895582311, + 170763697, + 127385307, + 680795039, + -1, + 151834981, + 71628272, + -1, + -1, + -1, + -1, + 811802408, + -1, + 287625413, + 615215028, + 822262667, + 942397741, + 380156531, + 378582596, + -1, + 72382100, + 683294938, + 805609867, + 170541050, + 905771294, + -1, + -1, + -1, + 159271118, + 494918935, + 392536397, + 352790840, + 655499393, + 918858048, + 893573398, + -1, + 448465371, + 81361412, + 879714445, + 118756167, + 428195891, + 602188364, + -1, + -1, + 303300102, + -1, + -1, + 881247636, + 26466679, + 684440655, + 63604415, + 478932558, + 629183348, + 935065527, + -1, + 205261841, + 659388983, + -1, + 895874642, + 163347237, + 618167213, + 966570237, + -1, + 536676100, + 881130726, + 847040525, + 665543593, + 305159310, + -1, + -1, + 620346924, + 947155773, + -1, + -1, + 905963745, + 270977961, + 588904335, + 517898758, + 685016661, + 868227371, + 532382456, + -1, + -1, + 525808916, + 455926976, + 422061172, + -1, + 68297993, + -1, + 313516841, + 557621053, + 564635633, + 952888890, + 793004334, + 791144353, + 930562031, + 357347499, + 936148261, + 455671317, + 573168813, + 104383978, + 283776766, + 838129341, + 841012928, + 399494496, + -1, + 783002798, + 46680378, + 960848709, + 946518814, + -1, + 921176939, + 627975961, + -1, + 70133462, + 270298690, + 558614323, + 798682859, + 5421942, + 853197912, + 953012593, + 940239903, + -1, + 390914666, + -1, + 542700989, + -1, + 755944955, + 639463093, + 214879364, + -1, + -1, + 852801106, + 691942337, + 624691999, + 349399681, + 808912473, + -1, + -1, + 189138263, + 368192778, + 575628372, + 444935311, + -1, + -1, + 556176277, + 777999217, + -1, + 912905406, + 159496550, + 725713815, + -1, + -1, + -1, + -1, + 635391950, + 70128150, + -1, + 845607335, + -1, + 862113437, + 837230498, + 434110837, + 885878486, + -1, + 937483368, + 964751063, + -1, + 367481529, + -1, + 734069264, + -1, + 551633204, + 593596185, + 225815611, + 170175776, + 936487608, + -1, + 60959824, + -1, + 41916609, + 965920358, + -1, + 289212570, + 81483847, + 391325939, + 130397865, + -1, + -1, + -1, + -1, + 370607935, + 777171625, + 690506137, + 122527307, + 622670691, + -1, + 321929253, + 628847928, + 975329441, + 219510289, + 615593391, + 49296670, + 72166668, + -1, + -1, + 43809371, + 635124862, + 132748539, + -1, + 583362565, + 692725719, + 915266629, + 371524799, + 95529478, + 477758596, + 159839069, + 936567355, + 40392502, + 885887106, + 408291470, + 621356591, + -1, + 848023233, + -1, + -1, + 784953033, + 894758256, + 323300067, + -1, + 461450831, + -1, + 212910178, + 605474277, + -1, + 255155239, + 649402231, + 704275939, + -1, + 177616506, + -1, + -1, + 792530595, + 153482240, + 925931694, + 666406064, + 332408059, + 478724665, + -1, + 292915606, + 258482491, + 20378782, + 565292476, + 14875247, + 829311099, + 422337034, + 362745798, + -1, + -1, + 353958359, + 36608956, + 545503026, + 675869711, + -1, + -1, + 754236157, + 71116182, + 84430088, + 365779312, + -1, + -1, + 794636634, + -1, + -1, + 872722585, + 820962097, + -1, + 260801453, + 751796124, + 99719472, + 340153478, + 913829212, + -1, + 386577303, + 39169700, + 454977777, + -1, + 40324175, + 833644772, + 835708181, + 688209006, + -1, + 490908652, + -1, + 415948610, + 656089831, + 228153483, + -1, + 157363238, + 788908587, + -1, + 385321394, + 438182319, + 399448939, + 428553720, + -1, + 303695234, + 340539966, + 88814377, + 660966691, + -1, + 285017770, + -1, + -1, + -1, + -1, + 59090553, + 790503462, + 337832949, + -1, + 672531022, + -1, + 311748514, + 463007905, + -1, + 802968247, + 293089837, + -1, + 445781509, + 172984933, + -1, + 954155823, + -1, + -1, + 901911909, + 539452513, + -1, + -1, + -1, + 293170349, + 805642436, + 959133830, + 443783255, + 347092999, + -1, + -1, + 690390264, + 46344915, + -1, + 903425837, + 725043652, + 143579311, + 703550129, + 369796123, + -1, + 924687977, + 871352691, + 125750282, + 663446187, + 44977415, + 412119310, + -1, + -1, + 752358225, + -1, + 512128549, + 31019556, + -1, + 695350114, + -1, + 331912225, + 166521379, + 140083924, + -1, + -1, + 148151644, + 570191366, + 411939391, + 501654447, + 976171785, + 932913743, + 692322658, + -1, + -1, + 484811847, + 20580055, + -1, + -1, + 455286414, + 404022737, + 744580696, + 212980718, + -1, + 423322779, + -1, + 425056841, + -1, + 792891777, + 710773105, + 346034832, + 560457973, + -1, + 860375972, + 310220079, + 577907311, + 320173974, + 828421852, + 808998143, + 904947413, + -1, + 279449237, + 568276268, + 970666914, + 374254489, + 95844357, + 87662657, + 490766444, + -1, + 260359014, + 338267575, + -1, + -1, + 544478310, + -1, + 401344618, + 751190459, + 919202212, + 181492524, + 711297872, + -1, + -1, + 157978441, + -1, + 360543674, + -1, + 828269407, + 104290139, + 960056787, + 706194311, + 968943668, + 891209845, + 164425862, + 618889082, + 827701745, + 593386602, + 605266016, + 68860790, + -1, + 56482860, + -1, + -1, + 295510473, + 782192547, + 165922938, + -1, + 788502150, + -1, + 697104979, + 115747276, + -1, + 385052760, + 24052357, + -1, + 57972498, + 641293014, + 35192153, + -1, + -1, + 510325057, + -1, + 578486296, + 798623240, + 979786591, + 309548403, + 356455092, + 401733004, + -1, + 597716285, + 396893435, + 579820068, + 166698607, + -1, + 478553296, + 308070739, + -1, + 298333802, + 524528378, + 878840533, + -1, + 49027377, + -1, + -1, + 522374927, + 217174126, + 695485529, + 766085112, + -1, + 488328067, + 736110913, + 444384563, + 771810178, + 423504981, + 477787542, + 265267689, + -1, + -1, + 769273791, + 381974885, + -1, + 384543632, + -1, + 171634673, + 204989117, + -1, + 464717366, + 982469387, + -1, + 374183074, + 226163791, + 894387146, + -1, + 412476136, + 884029919, + -1, + 82595632, + 1419761, + 352918008, + 766060824, + 125288665, + 105926725, + 747308504, + 228372657, + -1, + 215314250, + 103338297, + 18140506, + 932800348, + 753761349, + -1, + -1, + 408432881, + 971906988, + 878065974, + 868283955, + 643535012, + 590838664, + 591876425, + 430155718, + -1, + 406846057, + 55340733, + 904597035, + 472116625, + 295484932, + -1, + 313510784, + 39227593, + 207583340, + -1, + -1, + -1, + 491598243, + 451172976, + 17227954, + -1, + -1, + -1, + -1, + -1, + 74225821, + 143349397, + 961710037, + 115073365, + -1, + 287900058, + 217795328, + -1, + 782688555, + 970528356, + 927008881, + 987002637, + 881837098, + 874403584, + 15760979, + 85867160, + 382484265, + 242156571, + 975032690, + 282877128, + 617886972, + 311298037, + 229471044, + -1, + 581715847, + 674292359, + 855590475, + 357778391, + 620927827, + 952619266, + 601924397, + 401318079, + 772302685, + 494910589, + -1, + 209462031, + -1, + -1, + -1, + 803589303, + 959021741, + -1, + -1, + 32215950, + -1, + -1, + -1, + 424528955, + 568243264, + -1, + -1, + -1, + 665504134, + -1, + -1, + 643202638, + 685398732, + 803066504, + 54674055, + 321336098, + 760636000, + 746671270, + 14382120, + 532759634, + 733931668, + 155646717, + 237790882, + 90648173, + 736294281, + -1, + 551323883, + -1, + -1, + 565706957, + 881698771, + -1, + 780856838, + 318507371, + 380972588, + 709931203, + -1, + 955539126, + 599715860, + -1, + 226916760, + 893324045, + 798166785, + -1, + 664980617, + 328586180, + 275128580, + 744003666, + -1, + -1, + 713571954, + -1, + -1, + 140709105, + 884402529, + 573201463, + 606364600, + 262529089, + -1, + -1, + 177123364, + 454332992, + 952042486, + -1, + 402737758, + 690071679, + -1, + 986880535, + 455782157, + -1, + -1, + -1, + -1, + -1, + 90870239, + 515217820, + -1, + 935485273, + 728905811, + -1, + -1, + 804445561, + -1, + 506683519, + 639965650, + -1, + 247436699, + 579248704, + 497365527, + 804592916, + 798682253, + 849700880, + -1, + 305651828, + 703007658, + 661860400, + 827261459, + 38053893, + 305742405, + -1, + -1, + 251124943, + -1, + -1, + 706411791, + -1, + -1, + -1, + 826510156, + 513561147, + 707405775, + 788646155, + 962039554, + 669890491, + 616061649, + 832095418, + -1, + 577673741, + 340386362, + 721563965, + 499445671, + 250301103, + -1, + 561355483, + 699167785, + -1, + -1, + -1, + 278822864, + -1, + 371193129, + 694437542, + -1, + 879827345, + 86912959, + -1, + 645734247, + 124568481, + 148973677, + 641779420, + -1, + -1, + 133472476, + 513523189, + -1, + 995228771, + -1, + -1, + 346672150, + 610376652, + -1, + 4031110, + 458424209, + 326295261, + 380847132, + 493448295, + 731576157, + -1, + 119834941, + 387679391, + -1, + 293658052, + 708988406, + 741434456, + 387636865, + 46876670, + 392248640, + 815801430, + 719980988, + 769418673, + -1, + 553642209, + 377583224, + -1, + -1, + 674488819, + -1, + 921798602, + 21273420, + -1, + 16035915, + 767045850, + 713704225, + 217855244, + 457688319, + -1, + 344727911, + 918322654, + 618380078, + 193488834, + -1, + 579892962, + 429646587, + -1, + -1, + 98838121, + -1, + -1, + -1, + 567513554, + 929755816, + 368303612, + 210584936, + 180702552, + 264600608, + 127615770, + 821553629, + -1, + -1, + -1, + 984843395, + 628457910, + 406271059, + 990858456, + 946776942, + 920663843, + -1, + 515243291, + 384694665, + 790678706, + 737181698, + -1, + 467812292, + 767758333, + 108117152, + 619616609, + -1, + 894862678, + -1, + -1, + 604568006, + 483466959, + 723983480, + 608602671, + 819739237, + -1, + 139829317, + -1, + 883228366, + 632664964, + 2866807, + 561631054, + -1, + 119584938, + 442762097, + -1, + -1, + 221370860, + 400788322, + 380148316, + 583053099, + -1, + 709795368, + -1, + 626144345, + 506574475, + -1, + 755700588, + 56017908, + 738353117, + -1, + -1, + 402399596, + -1, + 343887341, + -1, + 197167321, + -1, + 118743067, + -1, + 629947242, + 532086841, + 878343997, + -1, + 150319933, + 951452814, + -1, + 187030293, + 572461309, + 944405954, + -1, + 707668981, + 229234329, + 798026506, + -1, + -1, + 357576769, + 226374478, + 906724727, + 443082088, + 784519064, + 832279748, + 527064411, + 880471957, + 591584031, + 396474040, + -1, + -1, + 700425441, + 975908624, + 238729748, + 652056934, + 256974040, + -1, + 853722067, + 50320869, + -1, + 38561165, + -1, + 29329375, + 26208552, + 847937494, + 431420186, + -1, + -1, + 285510905, + 933353785, + -1, + 968972557, + -1, + 736259938, + -1, + 603795748, + 603826633, + 710000607, + 436931265, + -1, + -1, + 800597608, + -1, + 117974564, + -1, + 536543405, + 13175037, + -1, + 908352141, + -1, + 674329327, + 935137049, + 258245378, + 248072218, + 903014671, + 480985804, + 353911824, + 485473748, + 526791631, + 428275137, + -1, + -1, + 401098457, + -1, + 739307050, + -1, + 903765445, + -1, + 228464169, + -1, + 665516778, + 663290835, + 772092651, + -1, + -1, + 548533225, + 921899298, + 282265795, + 259293968, + -1, + -1, + 847444472, + 476063272, + 311878302, + 964793500, + 459138693, + 545420298, + -1, + 526138493, + 880975960, + 407214999, + -1, + 801389050, + 980221517, + -1, + 387916974, + 444128861, + 829057709, + 921875681, + 403969534, + 577963166, + 750275691, + 953735633, + -1, + -1, + 906433028, + -1, + 374970945, + -1, + -1, + 540099062, + 466967344, + -1, + 766018872, + -1, + 203868590, + 711596290, + 241623489, + -1, + -1, + -1, + 967587901, + 425424658, + 885140528, + 614456591, + 671993075, + -1, + 80385373, + 517870409, + 691136334, + -1, + -1, + 357426788, + -1, + -1, + 784891887, + 4483329, + 517017024, + 634785035, + 893949017, + 952717883, + 37777291, + 957951226, + 780667779, + 606081786, + 689790933, + 316885861, + 90729212, + 51408359, + -1, + -1, + 741444866, + 19858937, + 968771251, + -1, + -1, + 502467566, + 389359547, + -1, + 481042022, + 881269216, + 994592861, + 962085193, + 290517740, + -1, + 634059443, + 114004421, + -1, + 324928003, + 630615910, + -1, + 363685244, + 504073733, + 173719138, + 315863714, + 349032076, + 816925681, + 197835105, + -1, + -1, + -1, + 512993537, + -1, + 445585040, + 365647162, + -1, + -1, + 693639558, + 54824779, + 937937176, + 450530108, + -1, + 902345653, + 389118640, + 548677312, + 316260137, + 885627456, + -1, + 468327338, + -1, + 385846294, + 491688952, + 738123441, + 178737197, + 468155533, + 699029148, + 127084283, + -1, + 579115012, + 864390147, + -1, + 155519961, + 719245457, + 72411719, + 635097445, + 499115765, + 166033195, + -1, + -1, + 62444349, + 104319514, + 376523764, + 252085527, + 558589222, + 793359874, + -1, + -1, + 865197965, + -1, + -1, + 312768232, + 695024309, + 157723276, + 633177926, + 918192056, + 466934287, + -1, + 20761363, + 816965384, + 349793353, + 981255067, + -1, + 584808445, + 657437839, + 197965210, + 89345957, + 892907549, + 938433166, + 301357165, + 139228434, + -1, + -1, + 70389260, + 165802153, + 173747083, + 476215063, + 658474038, + -1, + 172121710, + 591520951, + 624665372, + 731207262, + 516182569, + 628797059, + -1, + 950020493, + -1, + 406171852, + 876004946, + -1, + 479220878, + 619754041, + 37614811, + 735470160, + 73499272, + 931141479, + 328543485, + 285959102, + 589373285, + 393406654, + 676760108, + -1, + -1, + -1, + -1, + -1, + 625496459, + 117357956, + 242243972, + -1, + -1, + 863416619, + 920344041, + 528622043, + 911723719, + 986752994, + 754073240, + 212471755, + 85316013, + 401244478, + 152821698, + -1, + -1, + 260737492, + 427521800, + -1, + 42796682, + 707216541, + 357816992, + 585334085, + 328277525, + 51796605, + 224005305, + 272518877, + 343991310, + 116889674, + 412598969, + 385668899, + 766999884, + 59390641, + -1, + 637155155, + 654408230, + -1, + 945017420, + 693363241, + 681180047, + 621782183, + 649831374, + 817232375, + 171938888, + 575995981, + 471549196, + -1, + 22369149, + 262388754, + -1, + 141007194, + 837105182, + 529664508, + -1, + 679132181, + 613325317, + 121741971, + 280983037, + 107720071, + 284654022, + 231666368, + 496686806, + 28205328, + 912948390, + 659823864, + 333103456, + -1, + 87102108, + -1, + 137048457, + 861106666, + 898716611, + -1, + 864492390, + -1, + 321234883, + 387385884, + 69776271, + -1, + 661323068, + 895058165, + 542835836, + 472278148, + 878130841, + -1, + 743859250, + 539532751, + 643749360, + 431520813, + 132860330, + 315654661, + 831911797, + -1, + 80418504, + -1, + 503182016, + -1, + -1, + -1, + 395395763, + -1, + 611539802, + 67481574, + 998367270, + 177081184, + -1, + 206364934, + 740396183, + -1, + -1, + -1, + 233481382, + -1, + 261576227, + 268513110, + 847009874, + 350767201, + 517061380, + 518512414, + 665441236, + 67265320, + 751200261, + -1, + -1, + 407782787, + 882941360, + -1, + 514588091, + 788626573, + 278017224, + -1, + 46801880, + 754986552, + 158351349, + -1, + 583886855, + 63040629, + -1, + -1, + 869661293, + -1, + -1, + 381667241, + -1, + 609807900, + -1, + 910933763, + 752185094, + 784627424, + -1, + 96775842, + 524996683, + 549831530, + 778461350, + -1, + -1, + 185956400, + -1, + 120590494, + 134946769, + 410399430, + -1, + -1, + 946937760, + 354930561, + -1, + -1, + -1, + 638049263, + 444487966, + 17759030, + 784785445, + -1, + -1, + -1, + 397404948, + -1, + 544049940, + -1, + -1, + -1, + 530108114, + 544811589, + 260123265, + 380597319, + -1, + 724733505, + 518039173, + -1, + 933736647, + -1, + -1, + 36156614, + 161132787, + 787406472, + 926369793, + 870255197, + -1, + -1, + 373951810, + -1, + -1, + 674730120, + 292544102, + 859146715, + -1, + 759785146, + -1, + 860364457, + 115896768, + 376711420, + -1, + 676720949, + 646935140, + -1, + 310728431, + 350663552, + 962858656, + 562382714, + 526544176, + -1, + 141137425, + -1, + 442495519, + 956711728, + -1, + 787336337, + 470503522, + 87672675, + -1, + 248574534, + 93009991, + 289763609, + 701909316, + 918957064, + 780234982, + 35065192, + 818737377, + 11633467, + 483514182, + 510601924, + 25962037, + 174808664, + 63815773, + 143224236, + 304085051, + 589221079, + 835107652, + 72499894, + -1, + 659936197, + 491163331, + -1, + 31942793, + -1, + 203363686, + 281006048, + 559222631, + 464579466, + 191292113, + -1, + -1, + 782138995, + 887679524, + 985252803, + -1, + 831246624, + 808529418, + 608089958, + 993560204, + 759432202, + 735708213, + -1, + -1, + 242173325, + 946005440, + 703494224, + 476955750, + 949071424, + 476720047, + -1, + -1, + -1, + 812466860, + -1, + 930886155, + -1, + 280922476, + 291769640, + 151445284, + 825598855, + 244495802, + -1, + 497329424, + -1, + -1, + 532468523, + 946161725, + 597791986, + 787519448, + 540634927, + -1, + 178450726, + -1, + 972140002, + 134812397, + -1, + 227965140, + -1, + 888982041, + 701978689, + 122302268, + -1, + 661746269, + 272243005, + 837971286, + 775450939, + -1, + 145889421, + 442736816, + -1, + 421691625, + 111539437, + -1, + -1, + -1, + 739818259, + 790341746, + 865432981, + 596444097, + 647990695, + 799952170, + 2634904, + 90968139, + -1, + 335683855, + -1, + 400692999, + 474941034, + -1, + 717394714, + 120763391, + -1, + -1, + -1, + 455405924, + 549061493, + -1, + 49018198, + 742671774, + -1, + 521862759, + 792268081, + 494049002, + 477743861, + 126639116, + -1, + 199837302, + 891274320, + -1, + 899109022, + 83291099, + 654942110, + 550518248, + 505935153, + 400259929, + 52561531, + 982525694, + 411044937, + 468659041, + 303667773, + 695424271, + -1, + -1, + 760607154, + 448989497, + -1, + 292866672, + 261269317, + 496824596, + 331922550, + 21986165, + -1, + 378200594, + 470979331, + -1, + 701693169, + 417045829, + 955045159, + 622767734, + 192042832, + 6421337, + -1, + 496796682, + 587247181, + -1, + 901841394, + 718634498, + 187527228, + -1, + -1, + -1, + -1, + -1, + 178712475, + -1, + 583643132, + 849747346, + 627148374, + -1, + 423713554, + -1, + 695656938, + -1, + 79205284, + 840882197, + 786434858, + 255284431, + 839948595, + 497587811, + 374713651, + 783725184, + 418604497, + 815948452, + -1, + 465643444, + 714519766, + 339815300, + -1, + 259798539, + 733385113, + -1, + 671192109, + 597374413, + 652810718, + 796392440, + 618826851, + -1, + 826918889, + 493285665, + 880944779, + 365898725, + 347035165, + 189116719, + 937647095, + 617391872, + 133142475, + 472204689, + 652755067, + -1, + 51536834, + -1, + -1, + 715827111, + 831179991, + 366990792, + -1, + -1, + -1, + 273459559, + 33875664, + 841652414, + 773297895, + -1, + -1, + -1, + 552322079, + 589876231, + 523345216, + 955639869, + 496741677, + 222053059, + 551517521, + 752770056, + 137384170, + 418748961, + 512098694, + 3200413, + 476744897, + -1, + 354171296, + 647925763, + 562076558, + 504235622, + -1, + 290881141, + 166179221, + -1, + -1, + -1, + 847084304, + -1, + -1, + 325326801, + 921468015, + 268095085, + -1, + -1, + 857199347, + 659720405, + 339653588, + 56727746, + 385752097, + 696201196, + 958974767, + 389073129, + -1, + 259849926, + -1, + 909023396, + -1, + 956503932, + -1, + -1, + -1, + 111064128, + -1, + 654129970, + 462637906, + 70311643, + -1, + 66119926, + 507852545, + 166331450, + -1, + -1, + 491072991, + 120402200, + 569731700, + 894665915, + -1, + -1, + -1, + 802193133, + 203353335, + -1, + -1, + 359140793, + 638065295, + -1, + 378882492, + 152207546, + -1, + 803187178, + 731175468, + 510337076, + -1, + -1, + 760842195, + -1, + 369192496, + 337043643, + 336130157, + 218681871, + 949465153, + -1, + 442072451, + 481106428, + -1, + -1, + 226239119, + -1, + -1, + -1, + 353234848, + -1, + 300590038, + 112316201, + 947467157, + -1, + 92283118, + 902363411, + 909504794, + 577878172, + -1, + -1, + -1, + -1, + 722247686, + 91729611, + 153569256, + -1, + 91599198, + -1, + 261731841, + -1, + 389420701, + 603095927, + -1, + 63391114, + -1, + 522805611, + -1, + -1, + -1, + 954015691, + 822314329, + -1, + 434479867, + -1, + 718912680, + 626623365, + -1, + -1, + -1, + 227347978, + -1, + -1, + 714381011, + 730423341, + 572330852, + 389171296, + 446707024, + 592199520, + 728413080, + -1, + -1, + 649701237, + 651683162, + 557654235, + 1782723, + 129909207, + 917805522, + -1, + -1, + 551900862, + -1, + 753543128, + 834811820, + -1, + 381078507, + -1, + 688322635, + -1, + 343584872, + 620587546, + 840471818, + 137517305, + -1, + -1, + -1, + 640763486, + -1, + 153978784, + 442280342, + 534780019, + 793223175, + 206833205, + 803126489, + 604835269, + 784043109, + -1, + -1, + 711917477, + -1, + -1, + 450387374, + 801694956, + 327668238, + 667359306, + 927342196, + 645398274, + -1, + -1, + 681090546, + 242497657, + 653289735, + -1, + -1, + -1, + 467013917, + 683276977, + 193637496, + -1, + 407886496, + 211146961, + -1, + 364180392, + 117436048, + 673060305, + 529252698, + -1, + -1, + 543655700, + -1, + 204660801, + 618811384, + 427575762, + 140658629, + -1, + 890999794, + 740715009, + 519009395, + 891058078, + -1, + 299360495, + -1, + 785150410, + 773259298, + 433173368, + -1, + 440132059, + 693894777, + 297562255, + -1, + 606702833, + -1, + 226698003, + -1, + 345499953, + 953505193, + -1, + 466646080, + 742366738, + 315851242, + -1, + -1, + -1, + 506946429, + -1, + 717970188, + 514844335, + 594794080, + 424230350, + -1, + 736232440, + -1, + 560291819, + 72424343, + -1, + 842402883, + 298971270, + 609481678, + -1, + 587815809, + -1, + 790493242, + 444463858, + 16785077, + -1, + 614888162, + -1, + 609287643, + 373084434, + 909181496, + 802436833, + 360770255, + 359079180, + 611525725, + -1, + 349665876, + -1, + 163095855, + 952549503, + 505764973, + 945739181, + -1, + 913049034, + 233965638, + -1, + -1, + 977126170, + 89048267, + 299614496, + 986711317, + 929273326, + -1, + 106336417, + 86635204, + 627519938, + 141406392, + -1, + 754324102, + -1, + 753399494, + 239109218, + 472069039, + 255155896, + 228283222, + -1, + 801081189, + 172351651, + -1, + -1, + -1, + 522953636, + 575062852, + 945710552, + -1, + -1, + -1, + 229195512, + 466721798, + 856378044, + 987354425, + -1, + 186277797, + -1, + 433106644, + 387400057, + 409595721, + 494012756, + 930663232, + 533200187, + -1, + 825259093, + -1, + -1, + 489529531, + 35647130, + 164053862, + -1, + 115903082, + 344969028, + 411460180, + -1, + 349213108, + -1, + 528858578, + 141695035, + 184690501, + -1, + 746434728, + 2878424, + 643300963, + 123173510, + -1, + -1, + 850687772, + 748455441, + 665322912, + 349166013, + 151866507, + -1, + -1, + 506089172, + -1, + 646876447, + -1, + 778182184, + 720534494, + 585762687, + 879802957, + 790691197, + -1, + -1, + -1, + 976791684, + 260333664, + -1, + 398949707, + 532943707, + -1, + 547878541, + -1, + 351962205, + 644042338, + 758361816, + 328103378, + 541770229, + -1, + 687400469, + 34930135, + 694696663, + 46470178, + 712079996, + 630272437, + 571415404, + 889874679, + 749803285, + 494487134, + 810006200, + 902320478, + -1, + 176094056, + 359996482, + 326992038, + 865827471, + -1, + 257277285, + -1, + 394998325, + 485947749, + 324842844, + -1, + 488979872, + -1, + -1, + 327556826, + 392192962, + 909485217, + -1, + 116963372, + 388471101, + -1, + -1, + -1, + 500298949, + -1, + 757456597, + 159311631, + -1, + -1, + 855410258, + -1, + 682287332, + 973606615, + -1, + 531159342, + 97256549, + 577984623, + -1, + 236185785, + 803729119, + 377475859, + 465373961, + -1, + 562589767, + 895755723, + 874985476, + 632946876, + 95800338, + -1, + -1, + -1, + -1, + -1, + -1, + 957289331, + -1, + 524474572, + 704761143, + 591713601, + -1, + 965669856, + 140117002, + 311202510, + 304343938, + 989739591, + -1, + 265102463, + 661267861, + 266768389, + 716826837, + 659233466, + 356155057, + 790409442, + 13580890, + -1, + 704940156, + 206886545, + 125028326, + 445728811, + 190055065, + 959242780, + 604889354, + 948783950, + 926162988, + -1, + -1, + -1, + 60005855, + 298551913, + 12369046, + 719536973, + 248069469, + 336531933, + -1, + 665592024, + 870430645, + 596235347, + -1, + -1, + 247125585, + -1, + 681125352, + -1, + 419432303, + 280304993, + 657859127, + 577857796, + 72061220, + 741821979, + 928053127, + 721338112, + -1, + -1, + 174350016, + 440998472, + 531325402, + 224795304, + 519671426, + 736504081, + 353238499, + -1, + 964426211, + -1, + 85413270, + 691620232, + -1, + 665132441, + -1, + 479946406, + -1, + -1, + 212948251, + -1, + -1, + 753023772, + 527511674, + -1, + -1, + -1, + -1, + -1, + 158716274, + 934157249, + 20468915, + -1, + 191023397, + 889035690, + -1, + 731316228, + 824194895, + 762984641, + 82317058, + 862577641, + 515053719, + -1, + 785403891, + 161235279, + 840113753, + 764103670, + 226957029, + 607963757, + 830123422, + 447450699, + 75797303, + -1, + 522831355, + 486537493, + 78690293, + 293301180, + 7874846, + 417561948, + 178602405, + 709611480, + -1, + 42388029, + 437684435, + 277010115, + 154101251, + 886325524, + 715440653, + 93075552, + -1, + -1, + 542732685, + -1, + 545174021, + 552391718, + -1, + 244030945, + 785558790, + -1, + -1, + 37853555, + 976909639, + -1, + 767991069, + 221168690, + 479294406, + 835045261, + 134687146, + -1, + 538038721, + 195277389, + 630375973, + -1, + 686197079, + -1, + 611334675, + 463425734, + -1, + 481655996, + -1, + -1, + 650154004, + 547011335, + 953948327, + 329600897, + 475966533, + -1, + -1, + 422868337, + 598807113, + 470672564, + 445588231, + 15078250, + -1, + 806234918, + 462881214, + 251926218, + 200085569, + 227437043, + -1, + -1, + -1, + 349570695, + 465524148, + 632266634, + 274457104, + -1, + -1, + -1, + 430872403, + 894071893, + 806187585, + -1, + 864199489, + 653926536, + 561852551, + 789156289, + 334296910, + 725799144, + 746945111, + -1, + -1, + -1, + 383300457, + 669089310, + 540286661, + 569424791, + 650810423, + 399102588, + -1, + 276362868, + 385136131, + -1, + 584426189, + 304411779, + 598590656, + 440577394, + 263158600, + -1, + 635011510, + 181892756, + 377638249, + 945718187, + -1, + 124287913, + -1, + 114207364, + 625205007, + 197552338, + 175654862, + 104862010, + -1, + -1, + 452384883, + 100566043, + -1, + 699975105, + 142130064, + -1, + 132606201, + 841399664, + 714874907, + 990394862, + 714182000, + 78715890, + 736845829, + 696484375, + 726929792, + 787683062, + 637005161, + 857475178, + 156871533, + 582495693, + -1, + -1, + -1, + 574217580, + 691938343, + -1, + 855621634, + 483994479, + 296399030, + 505540335, + -1, + 43377204, + 917070462, + 895039073, + 645525420, + -1, + -1, + 485430328, + 764122018, + 953589819, + 964269367, + -1, + 331373414, + 170319841, + 220705412, + 803775461, + -1, + -1, + 793703862, + -1, + 709271850, + -1, + -1, + -1, + -1, + 544388535, + 745070970, + 374858624, + 669374946, + -1, + -1, + 343143500, + 389151537, + -1, + 416359388, + 186770085, + 244419082, + 341942622, + 572072233, + 894626634, + 966553749, + 968727183, + 578417153, + -1, + 8745446, + 974211111, + 976420233, + -1, + 431971819, + 24964124, + 404526205, + -1, + -1, + -1, + 390656353, + 742475423, + 999037680, + 834612307, + -1, + 331473864, + 262734336, + 838542017, + -1, + 729338016, + 98068481, + -1, + -1, + -1, + 491524794, + 160019923, + -1, + -1, + 815487703, + 184626034, + -1, + 140786020, + 987093081, + 504548826, + 399501889, + 421287629, + 213774633, + 117919797, + 118658462, + -1, + 883897396, + -1, + 559073586, + 739537054, + 897595615, + -1, + 612687845, + 355151090, + -1, + 179751379, + -1, + 293892381, + 345283184, + -1, + -1, + 693972553, + -1, + -1, + 923901862, + -1, + 78446065, + 203554059, + 678654656, + 475475356, + 529980405, + -1, + -1, + 297032404, + -1, + 192513012, + 501027316, + 655635337, + 834920419, + -1, + 637076763, + 937134803, + 167930133, + -1, + 853716281, + -1, + 90448590, + 886606614, + 312354494, + 105638468, + 649467782, + 936849616, + 516421884, + 491737514, + 301370333, + -1, + -1, + -1, + -1, + -1, + 304557671, + 343631026, + -1, + 927998428, + 178203531, + 630513571, + -1, + 654320974, + 421500042, + 664302783, + 856437916, + 831675664, + 844808134, + 456173464, + 860402036, + 438853701, + 191511109, + 776349646, + 237959579, + 876294241, + 797372862, + 350795329, + 886952122, + 92588595, + 33052007, + 948927517, + -1, + -1, + 919391924, + 936073388, + 846832990, + -1, + -1, + 861809817, + 994244994, + 936381899, + -1, + 962111173, + -1, + 402624141, + 907384991, + 308718716, + -1, + 9886920, + 564598904, + 723194667, + 362000233, + 372638767, + 531652533, + 240801773, + -1, + 928494269, + -1, + -1, + 268406864, + -1, + 773536602, + 795798703, + -1, + 234974516, + -1, + 626235908, + 920223906, + 577519596, + 545760936, + 721145793, + -1, + 818254495, + -1, + 443518042, + -1, + -1, + -1, + 222219148, + 30759707, + 776170456, + 914275121, + 434052511, + 101801159, + 810168617, + 424204920, + -1, + 522642407, + -1, + -1, + 349168640, + 933857381, + -1, + -1, + 127918899, + 42080126, + -1, + 192557497, + 496083564, + -1, + -1, + -1, + -1, + 30303244, + 230316724, + 84326747, + 205432507, + 550232441, + 962055656, + 250638634, + 329342119, + 438764466, + 253442950, + 51278549, + -1, + 282874206, + -1, + 772897095, + 200697105, + 186927981, + 195057177, + 748498243, + 725591029, + 486207383, + -1, + 921304466, + -1, + -1, + 385883370, + 640207990, + 548779698, + -1, + 377772197, + 827545646, + -1, + 980071134, + -1, + 176206624, + 550405782, + -1, + 758468308, + 633517791, + 981930134, + 259837345, + 702008269, + 201427989, + 520893804, + 253165605, + 240506342, + 687129182, + -1, + 382144766, + 134818455, + -1, + 679687064, + 158043291, + 436083052, + 366539979, + 8890965, + -1, + -1, + 676822951, + 725427562, + 560070315, + -1, + 674208145, + 304134504, + -1, + 80128693, + 21495734, + 60369667, + 30090685, + 103839800, + 572912, + 879381011, + -1, + 997772947, + -1, + 206746882, + 155845254, + 726078515, + 197273842, + -1, + -1, + 891907112, + 894099119, + -1, + -1, + -1, + 641403090, + 448418338, + 904967673, + 502370333, + 870204053, + -1, + 989796404, + 249808332, + -1, + 626783578, + 451341761, + 772824386, + 71731159, + 241961383, + -1, + 433094373, + 579473810, + 194730556, + 864496952, + 758444371, + 322773801, + 270954745, + 601068283, + 533288697, + 776930935, + 487089386, + 466993828, + 1983702, + 288070128, + 931892173, + 683676197, + 844028337, + 737684872, + 865249836, + 170179751, + 378648156, + 684684177, + 496003643, + 84911927, + 946501264, + 129309620, + -1, + 756282467, + 52338791, + -1, + 376567150, + 310626230, + -1, + 719200406, + 375655466, + -1, + -1, + 870978475, + -1, + 684776098, + 353014486, + 875754025, + 636155318, + 113199145, + 157016655, + 518705232, + 422593211, + -1, + -1, + 777542949, + -1, + 412375130, + 471728860, + 873532138, + -1, + 381727276, + 794462129, + 100339952, + 76434080, + 366061872, + 252882604, + 717098112, + 683668367, + 32193323, + 120946059, + -1, + 781172934, + 295831339, + 107584357, + 263801876, + -1, + -1, + 575959269, + 159339784, + 196372831, + 598705289, + 513450371, + -1, + -1, + -1, + 68490587, + 196935696, + -1, + 521182764, + 310416253, + 678203657, + 324647710, + 473629672, + 494917433, + 602174032, + 855938200, + 995943508, + 550008358, + 563396961, + 349607986, + -1, + 684303288, + 48640228, + -1, + 179348371, + 957670386, + 365489048, + -1, + 966779552, + 943686451, + 111755357, + -1, + 801027466, + 537581380, + -1, + -1, + 736872908, + 736444317, + 307530984, + 933501248, + 629828363, + 835774686, + 837997638, + 669528089, + 723712862, + 478808348, + -1, + -1, + 65589804, + -1, + 891697341, + 783130354, + 991106263, + 549875759, + 993141137, + -1, + 886733563, + -1, + 274000179, + 205110977, + 854570974, + 173374407, + 721129333, + 775683118, + -1, + 462775368, + 967325905, + 20378296, + 621243391, + -1, + -1, + 544743206, + 573673364, + -1, + 369039699, + 137987208, + 127742230, + -1, + 21602149, + -1, + -1, + 323071564, + -1, + -1, + 311928116, + -1, + 732700295, + 800741117, + 463720721, + 250403924, + 631044790, + 350775677, + -1, + 140047568, + 537865473, + 698855291, + 6786769, + 405264064, + 945770076, + 745823732, + 640401757, + 943997250, + 213290057, + 45760695, + -1, + 628381506, + 240335026, + -1, + -1, + 190344903, + 99610803, + -1, + 821437116, + 16027399, + 874438907, + 982813379, + 360592892, + -1, + 783916106, + 585870308, + -1, + 27883502, + 768454832, + 508439144, + 496347762, + 623889785, + 660449017, + -1, + 296113514, + 822511564, + 739295118, + -1, + -1, + -1, + -1, + 633457230, + -1, + 882699986, + 95247273, + 29660723, + 850353982, + 144687101, + 642548443, + 82483636, + -1, + -1, + 694452543, + 215963856, + 398186266, + -1, + 431610761, + -1, + -1, + 155389991, + 347211071, + -1, + -1, + 935763941, + -1, + 202181609, + -1, + 291985659, + -1, + 946557824, + 795308165, + 856182533, + -1, + 115757835, + 37538552, + -1, + 512548597, + -1, + 856391371, + 346510645, + -1, + 901337441, + 221627248, + -1, + 904801947, + 11565980, + 583958880, + 210408151, + 429768993, + 4644075, + 561438761, + 227637585, + 118346340, + 309987948, + 642136052, + 240611734, + 889168620, + 509787767, + 979813078, + -1, + 347633742, + 898420816, + 686691193, + 920690391, + 685099092, + 189582109, + 405027349, + 609066990, + 825622644, + 367664593, + 612397949, + 107165872, + 684051209, + -1, + 704675208, + -1, + -1, + 343876843, + -1, + 515135693, + -1, + 949459240, + -1, + -1, + -1, + 462977958, + 676157694, + 756312121, + 538436540, + 13904870, + 338136449, + 768076207, + -1, + 499759479, + -1, + 231462215, + -1, + 738269811, + 912602837, + -1, + 965626516, + 385248081, + 163705510, + 604138864, + -1, + 642564601, + 338941709, + 607490849, + 471176862, + 262782597, + 374001206, + 584359262, + -1, + -1, + 435617438, + 366590031, + -1, + 270454115, + 345722272, + 131128210, + 814580054, + 398790999, + 180162842, + 111670295, + 798682709, + 834309709, + 562539638, + -1, + -1, + 264602065, + -1, + 519521533, + -1, + 71137340, + 663663036, + 146511698, + 216879462, + 110440006, + 239596070, + 547601496, + -1, + -1, + 426346055, + 114707976, + 103878992, + 863344915, + 980545583, + 358105258, + 648278413, + -1, + 35801094, + 912853132, + -1, + -1, + 790673404, + 904151319, + 190373957, + -1, + 941299571, + 844559097, + -1, + -1, + -1, + 768160123, + 411908165, + 573696028, + 789255277, + -1, + 301230610, + -1, + 101930377, + -1, + 256796593, + 377940319, + 273575030, + -1, + 310783655, + -1, + 834093706, + 17818854, + 148122509, + 481549673, + 26673174, + 280358131, + 78042099, + 698325473, + -1, + -1, + -1, + 202264636, + 827312459, + -1, + 904313451, + 588756065, + 586182351, + 298284937, + 876126339, + 351790280, + 634742208, + 312687173, + -1, + 577681310, + 733148139, + 277285725, + 507299709, + -1, + 304516931, + 604047680, + -1, + 561969286, + 343896216, + 404820684, + 254788961, + 792950688, + 786908367, + 900265575, + 103100177, + -1, + 163980619, + 694158548, + -1, + 255232589, + 51058792, + 246345729, + 732491235, + 273164081, + 180065781, + 124072590, + -1, + 541620809, + -1, + -1, + 128190184, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 835727169, + 254281161, + 181871884, + 372912232, + 212694747, + -1, + 685749262, + 505072617, + -1, + 594287935, + 795812592, + 326603251, + 975853227, + 193100707, + 133981447, + 597746248, + 476066596, + 530106815, + 595219011, + -1, + 412714055, + 727902731, + 498817350, + 800440905, + 81986237, + -1, + 188258721, + -1, + -1, + -1, + 793472036, + 852155190, + 244763421, + 877036879, + 467880433, + 24380499, + -1, + 388315544, + -1, + 667579797, + -1, + -1, + 621790158, + -1, + 988238086, + 142288484, + -1, + -1, + 175177029, + 249341834, + 120818867, + -1, + 49875995, + 228994428, + 313577736, + -1, + 884192583, + -1, + 899502008, + 65775506, + -1, + 277833095, + 746691095, + 414048211, + 162450219, + 151855888, + 631159831, + 434815846, + 905103469, + 529215300, + 459478713, + 504916348, + -1, + -1, + -1, + -1, + 616324183, + -1, + -1, + 151802165, + -1, + 985291911, + -1, + 484358315, + 454116913, + 797606078, + 833638895, + -1, + -1, + 379443963, + 563897533, + 921226699, + 630490384, + -1, + -1, + 391876690, + 646503540, + 375172830, + 793132712, + -1, + 889828629, + 225492963, + 614177681, + 757663178, + 187261482, + 918212642, + 912362334, + 670925711, + 728701478, + -1, + -1, + 384547358, + 255151301, + 962024982, + 955316558, + 147532472, + -1, + 665435264, + 733780486, + 489876798, + 145222291, + -1, + -1, + -1, + -1, + 113839338, + 498939176, + 569474998, + 463500894, + 414267770, + -1, + -1, + 354844068, + -1, + 663676126, + 981294466, + 334397332, + 609291164, + 325234717, + 586895368, + 946938195, + 377863033, + 129480402, + 329843640, + -1, + 358541767, + 752060040, + 896931831, + 723147269, + 443393012, + -1, + 275965884, + 373204733, + 528893344, + 979710747, + -1, + 847153717, + 885479060, + 487933905, + -1, + 777120470, + 260411430, + -1, + 498654339, + 404041689, + 831298541, + 491256048, + 761855193, + 719980477, + 582980266, + -1, + 180018881, + 941425403, + 562894912, + -1, + 823240411, + -1, + 231155139, + 187338849, + -1, + 473858056, + -1, + -1, + 823453534, + 753618404, + 513274332, + 601599158, + 15010816, + 848280300, + 275959468, + 431771546, + 887989442, + 244623482, + 906228618, + -1, + 92052805, + -1, + 532468499, + 392666954, + 600587729, + 482563792, + -1, + -1, + 229740842, + -1, + -1, + 601685408, + 715720158, + -1, + 233223772, + 93991251, + 173033015, + 880726971, + -1, + 436587791, + -1, + 625387954, + 73133662, + -1, + 998138374, + 619135503, + 634111108, + 861467079, + -1, + 227418358, + 346655047, + 571485576, + -1, + -1, + -1, + -1, + 763566305, + -1, + 584607111, + 439496890, + 412220503, + -1, + 476576815, + -1, + 119587213, + 55739728, + 647564807, + 404462514, + 889271426, + 719903232, + 516042249, + 850290038, + 128559338, + 943121425, + 45514871, + -1, + 171931399, + 346535592, + 261212540, + 671955320, + 253827168, + 504307026, + -1, + -1, + -1, + 396960583, + -1, + 750450181, + -1, + 534214393, + 513123160, + 481547408, + -1, + 705576978, + 356806489, + 200631102, + 138674144, + -1, + -1, + 278601256, + 694353422, + -1, + 793251343, + 790037437, + 989589153, + -1, + 368066728, + -1, + 7569645, + -1, + 310157463, + -1, + 935451098, + -1, + 766102243, + -1, + 859822056, + 99495207, + -1, + -1, + -1, + 109230734, + 865591894, + 315648206, + -1, + 714314900, + 447094750, + 988894885, + 624523302, + 918697626, + 441143431, + 638268407, + 110673725, + 930304495, + 556328165, + 717562496, + -1, + 597288786, + 85350999, + 759362161, + 28286943, + -1, + 748316675, + -1, + 644444479, + 704680056, + 909976811, + 917489824, + 655270023, + -1, + 93578954, + 189668739, + 441958166, + 381588015, + 15290861, + 228029824, + -1, + -1, + -1, + 123776501, + 15808316, + 116884439, + -1, + 347189498, + 303939084, + 960519369, + 520928011, + 60952005, + 881631869, + 468647637, + 962000140, + 290630008, + 119499981, + 496107832, + 351502180, + 375321567, + -1, + 612549072, + 359820692, + 799376802, + 205315855, + 79774510, + 752612681, + -1, + 78904219, + -1, + 806467633, + -1, + 841509106, + 678713714, + 981353897, + 759778202, + 650430665, + 19760387, + 25169800, + 896267575, + 827519487, + -1, + 342600883, + -1, + -1, + 857510412, + 35650033, + 461897721, + 31014508, + 483020113, + 672581882, + 337136077, + 790422857, + 22481472, + 495846580, + 189296149, + 839592577, + -1, + 1795352, + -1, + 564794230, + 261507652, + 982990172, + 380536557, + 244636130, + -1, + 106215830, + 692301303, + 116508965, + 636222861, + 572807080, + 149111729, + 569719661, + 338412058, + 321942394, + -1, + 131724566, + -1, + -1, + -1, + 787369326, + -1, + 808790793, + 660187906, + 859366774, + -1, + -1, + -1, + 523437232, + 916338076, + 469538007, + 730393475, + -1, + 295960235, + 780329878, + 718742, + -1, + -1, + 473174501, + 887298005, + -1, + 201583297, + -1, + 573112351, + 232797686, + 922105080, + 233310577, + 70710262, + 699877753, + 198833354, + -1, + 864223715, + 610856914, + -1, + -1, + -1, + 768806945, + 423775693, + 203223284, + 357165293, + -1, + -1, + -1, + -1, + 503363189, + 784253515, + 35010626, + 324148115, + -1, + 42052969, + -1, + -1, + -1, + 520480124, + 19401320, + 954174060, + 161611148, + 265127719, + 637548220, + 313597022, + 150590786, + -1, + 912737390, + 440647587, + -1, + 208709243, + 764186554, + -1, + 691739379, + 890221800, + -1, + 440632743, + 890838181, + -1, + 13977551, + 901893405, + -1, + 427460026, + -1, + 141325526, + -1, + 304747584, + 266458411, + 423027317, + 418589427, + 858893199, + 319283996, + -1, + 873444503, + 266606179, + 324974924, + -1, + 980675107, + 935636923, + 276595168, + 325490750, + 667957753, + 645685658, + 146486908, + 780863035, + 19521471, + 207381200, + -1, + 563623807, + 204543915, + -1, + 411988393, + -1, + 711611650, + -1, + 835968734, + 211038816, + 896953874, + 546855547, + 727977672, + -1, + 137746399, + -1, + -1, + 1695185, + 71213740, + -1, + 61980712, + 731090823, + 424498864, + 36461368, + 400165707, + -1, + 117576192, + -1, + 232022446, + 554414986, + -1, + 468182538, + 378470297, + 191288384, + 814088025, + 488729515, + 260927558, + 318629499, + -1, + 568407411, + 45242465, + 750486488, + 68012495, + 41747982, + -1, + -1, + 959210647, + 192221768, + -1, + -1, + 497319673, + 143695902, + -1, + 778132019, + -1, + -1, + -1, + 360048758, + 353594146, + 440458175, + -1, + 660608184, + -1, + 895043155, + 851058402, + 38537574, + 388425050, + 13336368, + 82705429, + -1, + 187158254, + 507491931, + 915076328, + 397224528, + 858599602, + 460626470, + 17703679, + 839270787, + 243201938, + 745624571, + 112449951, + 48901976, + 340104914, + 779895629, + -1, + 546209630, + 372174341, + 237910037, + 440290872, + -1, + -1, + 651968963, + 776119633, + 104041710, + -1, + 677513397, + 337177996, + 594855523, + 854758199, + -1, + 869382873, + 636933699, + 599024929, + 30871448, + 951088697, + 298157098, + 283253706, + 422510820, + 513609964, + 491289011, + 488678664, + 717845079, + 522669613, + 239564692, + 751851720, + 893406796, + 50448954, + 651373175, + 511978385, + -1, + 588086526, + 967643347, + 991785210, + 41628395, + 811269757, + 112110108, + 313734534, + 123102146, + 250927085, + 89790003, + -1, + 524285581, + 663794464, + 844852143, + 144974634, + 218900192, + -1, + -1, + 204169110, + 842726938, + 473219088, + -1, + 708380954, + 666290719, + -1, + 451204658, + -1, + 223104860, + 532416787, + 547919115, + -1, + 298232015, + 755951687, + 191168375, + 190360325, + 307997790, + 639380072, + 664104989, + 249996118, + -1, + 872038057, + 112263646, + -1, + -1, + -1, + -1, + 472705527, + 238599899, + 576151531, + 238761352, + -1, + 265488252, + 182254987, + 515171789, + 13242509, + 226084384, + 995608639, + -1, + -1, + 788991943, + -1, + 500797227, + 682622045, + -1, + 861088328, + -1, + 603438596, + 252381010, + 729670394, + 127301820, + 781467625, + -1, + -1, + 524794024, + 404193412, + 695437361, + -1, + -1, + -1, + 40838246, + 105406113, + -1, + -1, + 258214184, + 915540925, + 520110219, + 997894712, + -1, + 176799201, + 280095810, + -1, + 458739428, + 759200920, + 271817710, + -1, + 179454525, + -1, + 532163047, + 724245567, + 560966351, + 254603491, + 362162945, + -1, + 343055980, + -1, + 328904253, + -1, + 874603339, + -1, + 211211695, + -1, + 669558492, + 642552231, + -1, + 728884850, + 450857204, + 417358684, + 87481304, + 291805854, + -1, + 887410626, + 395218933, + -1, + 147378590, + 495414714, + 403356942, + 193249194, + 666656208, + 503989135, + -1, + 377253965, + 259150603, + 578205447, + 585871631, + 344905473, + 873621838, + -1, + -1, + 639256907, + 683160005, + 921282561, + -1, + 200529621, + 540674808, + 630947781, + 370806318, + 899230628, + 982250492, + -1, + -1, + 552543515, + -1, + 102711621, + -1, + 166873926, + -1, + -1, + 160873081, + 399660907, + -1, + -1, + 861068597, + -1, + -1, + 254083389, + 160316606, + 587722975, + 683257616, + 598815164, + -1, + -1, + -1, + 221856200, + 712850983, + 850642794, + -1, + -1, + 918584637, + -1, + 93580523, + -1, + -1, + 529704807, + 265247286, + 984274600, + 726095829, + -1, + 660497401, + 966091404, + 444729017, + 365367481, + 901559346, + 834401561, + -1, + -1, + -1, + 247554466, + 52809804, + -1, + -1, + -1, + 704759590, + 98712504, + -1, + -1, + -1, + 763869738, + 235561982, + 486598552, + -1, + 249569688, + -1, + 910039393, + 197789404, + 540548282, + 477950920, + 444255761, + 871097711, + 357966549, + 984338358, + 724677452, + 366879872, + -1, + -1, + 489565323, + -1, + 517613361, + -1, + -1, + 288595785, + 156861795, + 999781093, + 984909913, + 984170955, + 485947593, + -1, + 360999710, + -1, + -1, + 377274576, + -1, + -1, + 48143080, + 624793326, + 646483703, + 966699571, + 674857924, + -1, + 937372968, + 74965396, + 367617341, + 290010716, + -1, + 48697363, + -1, + -1, + -1, + 203164419, + -1, + -1, + -1, + 954528084, + -1, + 128328417, + -1, + 62896282, + 887327115, + 459255209, + 116068050, + -1, + 888486183, + 593694480, + 130011083, + -1, + 30577349, + 202988121, + 582553402, + -1, + 559851034, + 190256353, + 483605105, + 533080270, + 469992961, + 920417313, + 710840522, + -1, + 916031222, + 697360667, + 962764146, + -1, + 687491523, + 509502135, + 991968626, + -1, + -1, + 659233585, + 834674847, + 917282254, + 18142301, + 347704535, + 892407455, + -1, + 257204944, + 571448586, + -1, + -1, + 998324185, + 35302953, + -1, + -1, + -1, + -1, + 159643972, + 449830318, + 119190047, + 871894324, + 861002052, + 34910836, + 90366802, + 11539348, + 184070046, + -1, + -1, + 261277275, + 38522602, + -1, + 899046629, + 656232092, + -1, + 349824251, + 2575525, + 677637207, + 732628033, + 974847345, + -1, + -1, + -1, + 447674586, + -1, + 122588256, + 419281441, + 88639939, + 903589805, + -1, + 574774169, + -1, + 760502037, + 897475452, + 936847136, + 38942069, + -1, + 152784074, + 454954965, + 694568446, + 81877242, + 930744372, + 750556936, + 671671935, + 448603541, + -1, + 753254429, + -1, + 996291772, + 276302480, + -1, + 835829478, + 523829743, + -1, + 657583306, + -1, + 112782515, + 465621961, + 85791419, + 248092380, + 492798694, + 543511830, + 818007423, + 457003130, + -1, + 745554177, + 541513018, + 696563585, + 385557704, + 560149300, + -1, + -1, + -1, + 256462538, + 344579904, + -1, + 271970831, + -1, + 616024703, + 401665004, + 216330466, + 561263491, + 776567218, + 943754519, + 794037923, + -1, + 927204309, + 389296578, + -1, + -1, + -1, + 553395181, + 714137652, + -1, + 850374759, + 799080985, + -1, + 543676147, + 302402327, + 571354860, + 671016085, + 216441061, + 924005338, + -1, + 79658763, + 646162753, + -1, + 128551808, + -1, + 408469212, + -1, + 821889213, + 179399230, + -1, + 454070162, + 878199783, + 112678109, + -1, + -1, + 976488551, + 798742766, + -1, + 318552002, + 606211232, + -1, + 802773380, + 795447914, + 230789560, + -1, + 862751285, + 671830966, + -1, + -1, + 539502714, + -1, + -1, + 310639469, + -1, + -1, + -1, + 53349043, + 594385523, + 769825909, + -1, + -1, + 164021429, + -1, + -1, + 944629892, + 328008233, + 909955675, + 896351135, + 542862151, + -1, + -1, + -1, + 557549756, + 275629781, + 770425960, + -1, + 767281983, + 154650757, + 281366352, + 774069841, + 928200826, + -1, + 792788376, + -1, + 874634136, + -1, + 956864839, + 30800504, + 909007406, + 851788264, + -1, + -1, + 398873043, + 379643782, + 684648060, + -1, + -1, + 319297676, + 621991054, + 294177110, + 697968686, + 705743450, + 378223157, + -1, + 386228781, + -1, + 848755451, + 777042692, + 843460560, + 381831043, + 146825336, + -1, + 895323751, + -1, + 518440962, + 361830661, + -1, + 722155572, + 499036833, + -1, + 713937192, + -1, + 570704822, + 260585846, + 202560153, + 663953927, + 84109685, + 711745352, + 566621483, + 854619062, + 738456702, + 498958893, + 681610203, + -1, + 963935878, + 51268742, + -1, + -1, + 479674434, + 263397553, + 652272981, + 619483134, + 893862229, + 819551408, + 335326937, + -1, + -1, + 293640193, + 597476506, + 727611032, + 235137048, + 717763547, + 308386130, + 979647598, + -1, + 867699302, + 524852289, + 174176354, + -1, + -1, + 155464461, + 410437602, + 138073902, + 695676124, + -1, + 537242490, + -1, + 812076683, + 831190969, + 766911331, + 28657554, + 742949158, + 113873713, + 710609651, + 366007210, + 749011593, + -1, + 441283483, + 238401311, + 763385204, + -1, + 875353409, + 214753496, + 227981940, + 100638893, + 974533131, + -1, + -1, + 688635341, + -1, + 840949086, + 95473545, + -1, + 991135387, + 852616326, + 102786721, + 955502874, + -1, + -1, + 341278929, + 719470835, + 327674256, + 382541213, + 277881618, + 342879646, + 402881939, + 240778149, + 15814260, + -1, + -1, + -1, + -1, + -1, + 575786644, + 185850672, + -1, + 34740852, + 233244352, + 106318913, + -1, + 72501834, + -1, + 418685157, + 354713845, + -1, + 406909380, + -1, + -1, + 48362483, + 616181640, + -1, + -1, + 917798029, + 525581204, + 940973352, + 131240773, + 455326768, + -1, + 862348037, + 985636872, + 111211751, + -1, + -1, + 702385889, + -1, + -1, + 178677365, + 117906348, + -1, + -1, + 556221211, + 495121810, + 604657715, + 112345447, + 810590588, + 281750997, + 677913910, + 499026340, + 67776247, + 951302050, + 866246281, + -1, + 405012473, + -1, + 894664477, + -1, + 255587683, + 284764929, + 649279884, + -1, + 476697941, + 468014117, + 151527391, + 468541837, + 745656838, + 809997493, + 258098403, + 57063396, + 269313462, + 461260068, + -1, + 764902286, + 443623947, + -1, + -1, + 646661602, + 107550707, + 110535679, + -1, + 251553486, + -1, + 170431747, + 41033666, + -1, + 619307155, + 523535558, + -1, + -1, + 721491946, + 504457036, + -1, + -1, + 481918942, + 55800704, + 202337138, + 433484233, + 342019157, + 222219338, + 466089710, + -1, + -1, + 971579429, + 42777972, + 454416956, + -1, + 843643305, + 92923027, + -1, + 953027731, + -1, + 83067595, + 69197060, + 468170194, + -1, + 564559493, + 892298596, + -1, + 149082264, + 579452615, + -1, + -1, + 157104096, + -1, + 484096202, + 42012411, + 772198784, + 916919615, + 581995822, + 827788670, + -1, + 546195744, + 756639981, + 179579961, + 454355511, + 321302342, + -1, + 958877227, + -1, + 127816942, + 817411238, + -1, + -1, + 660098315, + 547787524, + 924938310, + 578240485, + 873708955, + 356497942, + 373299731, + -1, + -1, + 503633290, + -1, + 240203871, + -1, + 839476048, + 776308698, + 54704220, + -1, + -1, + 174387042, + 305001033, + 25101737, + 240125234, + 989318751, + 112696620, + -1, + -1, + 164085794, + 357566163, + -1, + -1, + -1, + -1, + 68548194, + -1, + 54441193, + -1, + 490712073, + 400387624, + 406736207, + 942364868, + -1, + 922865895, + 83187440, + 639040480, + -1, + 126681175, + 720226795, + 856467969, + 498110351, + 299037281, + -1, + 153855350, + 384299492, + 238611385, + -1, + 295502199, + 780020221, + 736823752, + -1, + -1, + 63228326, + 924675417, + 651006760, + 716819504, + 8834850, + -1, + 280434587, + 851953396, + 258784187, + 416413810, + 967777338, + -1, + 736987138, + -1, + -1, + 722654610, + 337728512, + 187187644, + 620019783, + -1, + 894771318, + -1, + 780860750, + -1, + -1, + 678031238, + 564100155, + 764610479, + 749820414, + 30364695, + 288963205, + -1, + 310957422, + -1, + 871075012, + -1, + 501450229, + 516181491, + -1, + 26214838, + 576340752, + 844956216, + 465378406, + 560672937, + 186871447, + 212683072, + -1, + 710144192, + 80416168, + -1, + 686408028, + 287392643, + 608300146, + 823509192, + 987170677, + 169570750, + 389244060, + -1, + 397506238, + 717995591, + 621223012, + -1, + 730979097, + 879143862, + 303619236, + 908918259, + 962735894, + 38707192, + 319339063, + 394273358, + 409955539, + 916374817, + 553003541, + -1, + 928485666, + -1, + 308379232, + 926648069, + 297133076, + -1, + 153116820, + 188686786, + 746631224, + 238128619, + -1, + 158605228, + 765320105, + -1, + 854166670, + -1, + 486015367, + 426389786, + 776468380, + 280131594, + 185843383, + 271051172, + 613092900, + 777360878, + 289605266, + 274653550, + -1, + 136620133, + 411139592, + 24936502, + 454224353, + 581685740, + 699512411, + 933497510, + 159018602, + -1, + 132467976, + -1, + 384565236, + -1, + -1, + 903801609, + 135671914, + 446545905, + 251997802, + 772561474, + -1, + 132255029, + 392227960, + 414217586, + 171370922, + 593121460, + 576098022, + -1, + -1, + 25125959, + 453599674, + 495798339, + 76194446, + 380266361, + 610103531, + -1, + 855550232, + 4093346, + 334104581, + -1, + -1, + 594764393, + -1, + 473643051, + 765589650, + 229294543, + -1, + 893304367, + -1, + 922665900, + 511414927, + 568423109, + 364125986, + -1, + 509933976, + 700424302, + 197129332, + 918443261, + 54608337, + 34730834, + -1, + -1, + 95654491, + -1, + 872826440, + -1, + 624146840, + 166424798, + 968507769, + 527478633, + -1, + 964581152, + 263299573, + 315512962, + 183130905, + 638155637, + -1, + 974480486, + 687410660, + 346517740, + -1, + 853974390, + 674045826, + 998159594, + 146033627, + 958733439, + 403187363, + -1, + 7852763, + -1, + 109856899, + -1, + 161188415, + 101833977, + 74525, + 941566353, + -1, + 253881968, + -1, + 52429699, + 499798874, + -1, + -1, + -1, + 346055067, + 113985500, + -1, + 545107985, + 300628618, + 465115790, + 914227125, + 501445512, + 829329084, + -1, + -1, + -1, + -1, + -1, + 144849980, + 965729266, + -1, + 82244874, + -1, + 29297992, + 612975148, + 397896129, + -1, + 85928456, + -1, + 938738697, + -1, + 361370286, + 121213901, + 5847386, + 421630716, + -1, + 534627046, + -1, + 792150328, + 442614072, + 8085386, + 942709780, + 982014999, + 832775708, + 824295790, + 644576475, + -1, + 249769642, + 203313089, + 791010905, + 405360114, + -1, + 312890082, + -1, + 170039423, + 344366690, + -1, + 355349220, + -1, + -1, + 936145700, + 887884723, + 981688367, + 485878010, + 47423646, + 407036035, + 477127953, + 809919962, + 796009511, + 557373881, + 613748552, + -1, + -1, + 903808565, + 288158125, + 109606371, + 518096527, + 246024320, + -1, + -1, + -1, + -1, + 38453016, + 688428920, + -1, + -1, + 987556461, + -1, + -1, + -1, + 551412342, + 818911825, + 712018636, + -1, + 693714006, + 623019263, + 358941705, + -1, + 211133672, + 791227838, + -1, + 463917915, + 199791194, + 146176243, + 131197145, + 6861259, + 122832599, + 254233923, + 837852140, + 309042657, + -1, + 566308859, + -1, + -1, + 372838943, + 251978271, + -1, + 216942305, + -1, + 933372019, + -1, + 183932981, + 772604737, + 908342759, + -1, + 279802472, + 926901703, + 699952034, + 44409914, + 179711043, + 880139216, + -1, + -1, + 613230349, + 292531557, + 460937240, + -1, + 643796253, + -1, + 862742662, + 550314511, + 797440787, + 511805899, + 30546739, + 31480473, + -1, + -1, + 916965575, + 645730183, + -1, + 775496041, + -1, + 545725449, + 144242281, + 56411079, + -1, + 397517529, + 39429157, + -1, + 750738887, + -1, + 792580019, + -1, + 48776670, + -1, + 715730532, + -1, + 929164700, + -1, + 370462699, + 577342309, + 296709198, + 798510130, + 457438152, + 935513798, + 409349971, + -1, + -1, + -1, + 304406909, + -1, + 563830311, + -1, + 187909131, + -1, + 940267619, + 761749883, + 187858176, + 562354762, + -1, + 146086714, + 370652586, + 733688497, + 446247149, + 254684054, + 581892424, + -1, + -1, + -1, + 794180869, + 475530499, + 246224521, + 598584321, + -1, + 54869157, + 829252461, + 913518874, + -1, + 766025983, + -1, + 866119716, + -1, + 791372519, + -1, + -1, + -1, + 450234661, + -1, + 7621939, + 476495445, + 574045111, + 292820561, + -1, + 697840351, + -1, + 373922270, + 510834418, + -1, + -1, + -1, + 76383209, + -1, + 218701087, + -1, + 226098674, + 110585740, + 261561463, + 571087857, + -1, + 143966372, + 240120430, + 378631945, + 454794554, + 424457952, + -1, + 137366440, + 316497467, + 839132201, + -1, + 857553893, + 993459066, + 365516574, + -1, + 750929149, + -1, + 641532752, + 660757970, + 365989331, + 879040578, + 476141143, + 450680786, + 899707649, + 185158409, + 894300074, + 96164274, + 158478868, + 619356754, + 924041892, + 311288235, + 675033044, + 758883925, + 888534243, + 923489417, + -1, + 452757200, + -1, + 702549027, + 657356053, + -1, + -1, + 440082436, + 908737381, + 327968846, + -1, + 646614947, + 205384609, + -1, + 153302864, + 264663871, + 556147216, + 580387575, + 831244683, + -1, + -1, + 556772586, + -1, + 660165229, + -1, + -1, + 991070669, + 666522182, + 898967135, + 672553430, + -1, + -1, + -1, + 78551881, + -1, + -1, + -1, + -1, + 128356073, + 62186164, + -1, + 533456218, + 391443005, + 787655743, + 185075192, + 103344069, + 894511173, + -1, + 721371381, + 963700762, + 593904040, + 948883080, + -1, + 897807851, + 47270914, + 558834576, + -1, + 454928900, + 801818862, + 35547395, + -1, + 184963684, + -1, + 618272794, + 2994905, + 161145546, + -1, + -1, + 116955914, + 482130443, + -1, + 903590827, + -1, + 879371146, + 444589646, + 417914335, + 847668942, + 107121536, + -1, + 152172490, + 935893516, + -1, + 625611190, + 261209238, + -1, + 234739957, + 67327774, + -1, + 209067203, + 135763795, + 403170616, + 927976463, + 320678611, + 223000181, + -1, + -1, + 79790514, + 645868783, + -1, + 939068863, + 276221474, + 461486922, + 757860356, + 342948871, + 888336809, + 935282578, + 812298068, + -1, + 362872453, + 87864130, + 96388786, + -1, + 653623962, + 943237608, + 758440324, + 140705894, + -1, + 81443611, + 263730183, + 828828774, + 771949856, + 524803302, + -1, + 669195400, + 428621073, + 457871758, + -1, + 61046611, + 165140018, + -1, + -1, + 150142914, + 985657813, + 34023096, + 330456013, + 757715459, + -1, + 893434222, + 906236695, + 717617823, + 595139627, + 334309999, + 360939174, + 910674191, + -1, + 212070437, + 120059977, + 284773843, + 93801877, + 174490535, + 795968692, + -1, + 44056181, + 949858695, + -1, + 899901477, + 9993021, + 768673865, + -1, + -1, + -1, + 598467329, + -1, + -1, + 152575612, + 35295722, + 114704105, + -1, + 388420360, + 370666849, + 183536734, + 962739458, + -1, + 453280964, + -1, + 795959716, + 866047869, + 418477947, + -1, + 301487716, + -1, + 183808565, + 515130004, + 382335562, + 966571689, + 939428528, + 976492612, + 700249833, + 842508514, + 557249610, + 631842681, + -1, + -1, + 908793040, + 265781288, + 595443051, + 620809660, + 65395838, + 873305803, + -1, + 33676826, + 830522582, + 791472874, + -1, + 804755594, + 916260063, + 781942848, + 659054597, + 355970217, + -1, + 932965731, + -1, + -1, + -1, + 614874656, + 964360060, + 551385241, + 544878316, + -1, + 253475166, + -1, + -1, + 326203679, + -1, + 233562809, + -1, + 285295950, + 728495291, + 98958512, + 904952833, + 442849652, + -1, + 356846216, + 677254284, + 43240550, + 28558821, + 588333562, + 383428812, + -1, + 684796413, + 140416847, + 18488075, + 347864614, + 942008390, + -1, + 898494784, + -1, + -1, + 313770110, + 171623376, + 466353891, + -1, + -1, + 284350003, + 324336192, + -1, + -1, + 406918424, + 721179808, + 909645994, + 221730991, + 201343223, + -1, + 83076909, + -1, + 274230394, + 450057143, + 122030960, + -1, + 969635116, + -1, + 658915669, + -1, + 554409313, + -1, + -1, + -1, + 209859117, + 360121029, + -1, + 827741093, + -1, + 543354716, + 419837520, + 858349767, + -1, + -1, + 229332298, + 13828963, + -1, + 819993976, + 892674800, + -1, + -1, + -1, + 318519695, + 728634678, + 424452987, + 701131298, + -1, + 547651737, + 404991298, + 336234361, + 212198706, + 566627917, + 244601954, + 784216327, + -1, + -1, + -1, + 458930931, + -1, + 365987581, + 711763391, + 930970607, + 905893299, + -1, + -1, + -1, + 655183541, + -1, + 194939546, + 702525517, + 214579347, + 513279993, + -1, + 267840130, + 973700785, + 456685636, + -1, + 71729470, + 829620837, + -1, + -1, + 951868889, + -1, + 990834199, + -1, + 10928431, + -1, + 525249085, + 151047293, + -1, + 818191476, + -1, + -1, + 854731625, + 481462743, + 741979543, + 680345572, + -1, + -1, + 269194904, + 687780004, + 895491207, + 454360985, + 609362456, + 867826088, + 272046177, + 438772504, + -1, + 888528713, + -1, + 673874025, + 528137693, + -1, + 899089268, + -1, + 898164179, + 451162857, + 863234990, + 480965684, + 861031143, + 962023601, + 627800254, + 783730984, + -1, + 35021752, + -1, + 47357012, + 900435683, + 499594208, + -1, + -1, + 178089106, + -1, + 388773542, + 286327867, + 84733935, + 53081551, + 820581052, + 520040959, + 921050807, + 503488303, + 614876752, + -1, + 185047067, + -1, + 792052991, + 667559971, + 274431828, + -1, + 933541412, + -1, + 403010084, + 244973264, + 943694862, + 243163345, + -1, + 819733977, + 367048680, + -1, + 618976886, + 414006536, + 962261936, + 971082624, + -1, + -1, + -1, + 935565305, + -1, + -1, + -1, + 181525852, + -1, + 947273261, + 742325648, + 610009147, + 316497004, + -1, + 34006794, + -1, + 710271806, + 97612472, + 398199557, + 586658040, + 300987805, + 889836314, + -1, + -1, + -1, + 686326113, + 875461330, + 263021139, + 606555624, + 516777755, + 126419482, + 99864539, + 922659674, + 412915984, + -1, + 729212506, + 939975539, + 101494703, + 110551476, + 335365357, + 232720344, + 810827658, + 450764221, + 325678664, + 402664615, + 228144073, + -1, + 585663013, + 348848193, + -1, + 932034975, + 850893157, + 872361230, + 662027554, + 913817878, + 510114317, + 88416855, + 471235084, + 558662077, + 140744999, + 220260512, + 366583004, + -1, + 391486397, + -1, + -1, + 353364394, + -1, + 458069582, + -1, + 521351973, + 362507719, + -1, + 477432609, + -1, + -1, + 882734049, + 307968838, + -1, + 868611143, + 853910387, + 725056034, + 214193480, + 934143416, + 199460824, + -1, + 961752157, + -1, + 78086689, + 567982510, + 668564030, + -1, + -1, + -1, + 284793529, + -1, + 522717504, + 459768489, + 770043413, + 579758348, + 810183181, + 86446489, + 734631406, + 542401247, + 666696983, + -1, + -1, + 804948207, + -1, + 930939922, + 300682653, + 860422079, + 278405506, + 283491502, + -1, + 408810552, + -1, + 22295945, + -1, + 108149468, + 950784179, + -1, + -1, + -1, + 866177258, + 824129479, + 326279006, + 730454293, + -1, + 247299168, + -1, + 445652580, + 189020269, + 214993153, + 655493598, + -1, + -1, + 888712577, + -1, + -1, + 992727186, + 794396006, + 612611968, + 367162797, + 208772475, + 278468212, + 653258828, + 860332045, + -1, + 890260928, + 907955201, + 821639828, + -1, + 801666270, + 917935254, + 833436505, + -1, + 311843774, + -1, + -1, + 571199292, + -1, + 849684176, + -1, + 125336901, + 249327578, + 974352299, + 500932355, + 182306518, + 813798251, + 456619489, + -1, + -1, + -1, + 365532533, + 716244044, + 205064243, + 4350464, + -1, + 282884779, + 908737266, + -1, + -1, + -1, + -1, + 149126681, + 142043684, + 480162948, + -1, + 798324230, + -1, + 362241721, + 20089937, + 462262030, + -1, + 622245003, + -1, + 933451713, + 184308384, + 814078501, + -1, + 495671993, + 456856426, + -1, + 252061041, + 987196973, + 802732689, + 193820495, + 709918116, + 920925130, + -1, + 822369901, + 904976459, + 646376181, + -1, + 568557490, + 447582373, + -1, + 661307273, + 863254481, + -1, + 241997336, + -1, + 911883306, + 125769191, + -1, + -1, + -1, + -1, + 665617992, + 332551070, + -1, + 971735081, + -1, + 249699296, + 517036152, + 302114882, + 579532723, + -1, + 124309923, + 39320077, + 234495338, + 406749803, + 879009773, + 283365508, + 385228090, + 327873715, + 376754324, + 413779638, + 793011768, + 954757435, + 27039156, + 905119916, + 397783583, + -1, + -1, + 92037673, + 565006326, + 848887311, + 562527484, + 307440265, + 691030581, + 73395703, + 729473197, + 642212010, + -1, + 389364072, + 675282797, + 590875127, + -1, + -1, + -1, + -1, + 659962708, + 851680044, + 30014828, + -1, + 792319570, + 917919811, + 870391083, + 230471499, + 851972322, + 238648539, + 645545148, + 599647828, + 90425063, + 528577648, + 539573770, + 584637127, + -1, + -1, + 740240289, + 481936737, + 986383655, + -1, + 988598795, + 143104285, + 138097272, + 479327576, + -1, + 203112344, + 768000036, + 731748940, + -1, + 986092811, + 420667175, + -1, + 61792057, + 312720982, + -1, + -1, + -1, + 210520990, + -1, + 499751531, + 737844480, + 729302825, + 393982312, + 596200119, + -1, + 396157081, + 720852163, + 65264993, + 847183403, + 275158489, + 370876079, + 978976204, + 169768519, + 946868032, + 467151320, + 441885072, + 465874704, + 478916677, + 74534422, + 844452962, + 79397104, + -1, + 326962029, + 193641523, + 260632971, + -1, + 429830458, + 139986423, + 569312034, + 667899268, + 217972697, + -1, + 984329054, + 224728582, + 526261110, + 898483845, + 16258229, + 268095135, + -1, + -1, + 985241260, + 363127008, + 384347075, + 430847504, + -1, + 111162718, + 617707578, + 656346560, + 48808603, + -1, + 212335430, + 336574442, + -1, + 465393511, + -1, + 234617803, + 340408141, + 55460291, + -1, + -1, + 161204620, + -1, + 665824231, + 858325890, + -1, + -1, + 115876309, + 506960118, + -1, + -1, + 391443836, + 450902652, + -1, + 882071084, + 182945681, + -1, + -1, + -1, + 428868892, + 547753738, + 97564537, + -1, + -1, + 875268576, + -1, + 397654064, + 99928801, + 721504871, + -1, + 266258608, + 149896668, + 44246537, + 102517032, + -1, + 263678473, + -1, + 510451433, + 767814901, + 598610548, + 866452044, + 814238040, + 849178906, + 1370356, + 189652049, + 750503379, + 149693099, + 299275906, + -1, + 975477144, + 22386403, + 702171508, + -1, + -1, + 503382765, + 586244249, + -1, + -1, + 687400449, + -1, + 54837206, + 847823168, + -1, + -1, + 47772189, + 286050805, + 708291380, + -1, + 29401428, + 358899144, + 792672804, + -1, + -1, + -1, + 122739651, + 275628192, + -1, + 133471963, + 394829351, + 987914632, + 393935581, + -1, + 884999042, + -1, + 656282157, + -1, + 96682605, + 308785268, + 555760521, + -1, + 433329775, + -1, + 618175426, + 322589061, + -1, + 793158874, + -1, + -1, + 484736146, + 424188409, + -1, + 319466504, + 26504135, + 777822364, + 277125755, + -1, + 443140352, + -1, + -1, + 957042387, + -1, + 69199061, + 377839850, + 172040508, + 902863225, + -1, + 189907913, + -1, + -1, + 91110012, + -1, + 446956112, + 667926713, + 677336891, + 124022621, + 271629150, + -1, + 158442278, + 912116277, + -1, + 211320803, + -1, + 617346856, + 909780373, + 423150061, + 989790302, + 238862011, + -1, + 850295310, + 746207487, + 25841795, + -1, + 877384288, + -1, + 568997564, + 773699549, + 471412301, + 638816867, + -1, + 593187193, + 291007649, + 462755977, + 27720395, + 87077980, + 844570305, + 950959492, + 362269933, + -1, + 554600364, + -1, + 658682306, + 878441907, + 242847155, + 657726004, + 524468718, + 231157859, + 442249673, + 525712928, + 130172030, + 438258290, + 685917871, + 726807701, + 245449467, + 421623290, + 913925822, + -1, + 39463108, + 652853651, + 589466850, + 72395374, + 977474038, + 900057224, + -1, + 296469771, + 652655003, + 581824550, + -1, + -1, + 653110117, + -1, + -1, + 409414960, + 763089362, + 628039030, + 31235490, + 774852061, + 229611527, + -1, + 237694293, + -1, + -1, + 772645166, + 972315992, + 745873278, + 852220773, + 675768037, + 604123060, + 191965453, + 811532969, + 84425417, + 793244875, + 578040569, + -1, + 312379441, + 150298435, + 616308271, + -1, + -1, + -1, + 773368125, + -1, + 837747064, + 77268406, + 648972887, + 859260082, + -1, + 526215978, + 492924615, + 373206417, + 275964981, + 337372862, + 524061897, + 837659098, + 920250697, + 420964273, + 381035330, + 131858269, + -1, + -1, + -1, + -1, + 924920198, + 715360884, + -1, + 100810199, + 322675032, + -1, + 562757010, + -1, + 800884387, + 306010993, + 495380762, + -1, + -1, + 902256039, + 590122516, + 426469533, + -1, + 808202669, + 750141163, + 349724411, + -1, + 2207798, + -1, + -1, + 112134512, + -1, + 628407085, + 751419895, + -1, + -1, + -1, + 784699766, + 721071222, + 332039918, + 729116935, + 60324052, + 517788021, + 658015979, + 730751987, + 438407894, + 590952111, + 168447001, + 32581645, + 104676597, + -1, + 249693484, + -1, + 588506452, + -1, + 258723063, + -1, + 963317687, + -1, + 974368451, + -1, + -1, + -1, + -1, + 757530344, + -1, + -1, + 167695399, + -1, + 27466276, + 156356659, + 949308552, + 351750673, + 37256873, + 8697195, + 822196936, + 76614764, + 222291535, + 868936013, + -1, + 740161186, + 242433283, + 687356333, + 271188215, + 895402732, + 787625919, + -1, + 727111155, + 468615716, + 469800418, + -1, + -1, + -1, + 903100284, + -1, + -1, + -1, + 460577113, + 644109251, + -1, + -1, + 728687383, + -1, + 783415751, + 271147254, + -1, + 271115426, + -1, + 523486821, + 123570201, + -1, + 428542271, + 440388596, + 742840789, + 84638420, + 926512866, + -1, + 205472292, + 174076679, + 37474833, + 439345776, + 583757564, + -1, + 43911580, + 715912506, + 53479501, + 886851339, + -1, + 352555584, + 239000350, + -1, + -1, + 885789035, + -1, + -1, + 675648997, + 290440657, + 907886756, + 540272163, + -1, + 426946546, + 111376105, + 692386540, + 574506696, + 948498363, + -1, + 309048897, + 19445269, + 615235036, + 134887119, + 486484923, + 378901341, + -1, + -1, + 169325116, + -1, + 11457230, + 645499910, + 539415844, + -1, + -1, + -1, + -1, + 388299946, + 73032288, + 301375254, + 828903948, + -1, + -1, + -1, + -1, + -1, + 449242243, + 482068467, + -1, + 610108974, + -1, + 841431928, + 870357313, + 629420445, + -1, + 79769328, + 828118271, + 414697291, + -1, + -1, + 766705659, + -1, + 386754158, + 37214716, + 601636007, + 937333913, + 145253709, + 744964050, + 409419705, + 914934925, + 166996819, + -1, + -1, + 195590384, + -1, + -1, + 54596814, + -1, + 935049655, + -1, + 38297689, + 47331465, + -1, + 380328497, + -1, + 289393221, + 823377273, + 352982982, + 102654458, + 408839676, + 873355326, + 866116751, + 59335573, + -1, + 443155158, + 297011155, + -1, + 555767274, + 789277079, + 631994410, + -1, + -1, + -1, + 923154199, + 534063834, + 801553246, + -1, + 245445619, + 14562228, + -1, + 379172072, + 55279684, + 622908451, + 363058247, + -1, + -1, + 788265981, + 719859380, + 71893094, + -1, + 612220615, + 861122704, + 752413459, + -1, + -1, + 595858870, + 86780527, + -1, + 390029847, + 506075742, + -1, + 525977959, + 37423710, + 343387007, + -1, + 774640508, + -1, + 506866484, + 219546497, + 432639634, + 444984313, + 996222953, + 928242438, + 325242155, + 54282066, + 573700626, + -1, + 892815168, + 517321283, + 459705568, + 939184375, + 580717385, + 888624040, + 940814051, + -1, + -1, + 240873061, + 157135473, + 649003946, + 585482404, + -1, + 38700646, + 991692768, + -1, + -1, + -1, + 777900418, + 42338438, + 877562960, + 359752754, + 81063522, + 876924806, + 204808761, + 178847383, + 177872011, + 973774756, + 752316300, + 989739997, + -1, + -1, + 474531671, + 594363359, + 133807097, + 625139071, + 834817988, + -1, + 310787534, + 741623766, + 408605531, + -1, + 546853594, + 155342530, + 883826251, + 138128581, + 626816036, + -1, + 713993607, + -1, + 811527819, + -1, + 284322212, + 178048029, + 951130143, + 915909713, + -1, + 32123105, + 831367633, + -1, + 844188513, + -1, + -1, + 582189456, + 153401050, + 291026641, + -1, + 45441863, + 989351232, + 411613833, + 954324932, + 348602503, + 721764060, + 921405744, + 517476733, + 35514625, + -1, + 434308515, + 516988590, + 236341553, + 437923507, + 425715959, + 860185907, + 739005327, + 821392113, + 150883872, + -1, + -1, + -1, + -1, + 197421541, + 532005809, + -1, + 160642105, + 851886692, + -1, + 574831766, + -1, + 942454344, + -1, + 13153399, + 596506064, + 75180468, + 593644518, + 501579723, + 529690907, + 475494877, + 221918053, + 331842445, + -1, + 914753962, + 383716049, + 813199191, + -1, + 338901310, + 196658161, + 878868004, + 844295912, + 924297014, + 885188252, + 453541727, + -1, + 268127613, + -1, + 350115841, + 887851836, + 494880954, + 342613184, + 343587184, + -1, + 41295236, + -1, + 915132660, + 774984027, + -1, + 155219212, + -1, + 427792018, + 801334149, + 622680974, + 978994713, + 229317479, + 409131358, + 612531152, + 152987047, + 209440718, + -1, + -1, + 188110023, + 965969210, + 294776670, + 608874918, + 417516852, + 471036206, + 849910629, + -1, + -1, + -1, + 954465114, + -1, + 754111033, + -1, + 832353194, + 977664216, + 1076655, + 164609105, + -1, + 517883165, + 394869474, + 395378503, + -1, + -1, + -1, + 890127467, + 180214880, + 406897719, + 584956757, + 103298044, + 163402304, + -1, + -1, + -1, + -1, + 622695498, + 195266082, + -1, + 924543659, + -1, + 162678578, + -1, + 617435547, + -1, + 774350247, + 651955092, + 333975853, + 40398123, + 467917577, + 330791071, + 735480746, + 10460842, + 972684260, + -1, + 142937527, + 316622982, + 303989000, + 205067784, + 148520165, + 26728329, + 875938943, + -1, + 675730947, + 395196068, + 984876629, + 663928051, + 737459952, + -1, + 348131961, + 84909051, + 535462450, + 581237356, + -1, + -1, + 183490800, + 111315346, + -1, + 935915168, + -1, + 686105526, + 160007209, + 233378567, + -1, + -1, + 157960751, + -1, + 454629550, + 69819857, + -1, + -1, + 957325671, + 825947451, + -1, + 165958697, + -1, + 218731828, + -1, + 141856793, + -1, + -1, + 983698409, + -1, + -1, + 377504092, + 83727294, + 466332194, + -1, + -1, + -1, + 440716797, + -1, + 318454057, + 43447001, + -1, + 107806370, + 508865843, + 572728748, + 960564880, + -1, + 248351166, + 109571187, + 801037173, + -1, + 882457439, + 931395880, + -1, + 4836039, + -1, + 509256740, + 685685438, + 827478208, + -1, + 89777544, + 940746089, + -1, + 775875672, + 62308195, + 787900586, + 960653837, + 345669289, + -1, + 522042706, + 898515491, + -1, + 843135002, + -1, + 338603434, + 523684997, + 101141935, + -1, + -1, + -1, + -1, + -1, + 231795962, + -1, + -1, + 655701430, + 756199619, + -1, + 30604585, + 308661431, + -1, + 676847193, + 416701347, + -1, + 876308192, + 383712718, + -1, + 303397058, + 967045131, + 860823011, + -1, + 998442005, + 292223943, + 412773998, + -1, + 33959035, + 117708257, + 781420909, + 904395468, + -1, + -1, + -1, + 967388805, + 951918223, + 584171305, + 245958935, + -1, + 461878531, + -1, + -1, + 429456282, + 983084265, + 141434038, + 836392864, + 521225582, + 201164500, + 353639657, + -1, + -1, + 704862204, + -1, + 726302681, + 67337483, + -1, + 347836703, + 746590008, + 950709939, + 125827188, + 46407991, + 54424838, + -1, + 852770416, + 929295356, + 696720773, + 388226124, + 599876674, + 613531882, + 957747425, + 633098527, + 599278534, + 516125920, + -1, + -1, + 699905150, + 870210041, + 867148137, + 849587572, + 179521166, + -1, + 819760823, + -1, + 687887974, + 151083853, + 802574230, + 287282022, + 440647064, + 229861535, + 167899849, + -1, + 10114058, + 80299687, + -1, + 901388469, + 777208147, + -1, + -1, + -1, + 674602739, + -1, + 531056502, + -1, + -1, + 731313989, + 846429441, + 971446775, + 344089835, + 38232531, + 572001253, + 405000445, + 900322579, + 117440321, + -1, + 553092823, + -1, + -1, + 380313257, + 652136114, + -1, + -1, + -1, + -1, + -1, + 64757228, + 10815135, + -1, + 362057911, + -1, + 970242482, + 383472103, + -1, + -1, + 441649829, + 644374927, + 741277061, + -1, + -1, + -1, + 944903355, + 696855485, + 429153313, + -1, + -1, + 520892500, + 311051984, + 370715919, + -1, + 410739399, + 453689252, + 197310797, + 64955140, + 516543389, + -1, + 752422172, + 584424926, + 357036124, + -1, + -1, + 550758710, + -1, + 291383402, + 816401856, + -1, + 447084353, + -1, + -1, + 410250603, + 785601335, + 81730202, + 186629723, + 606064429, + 528321749, + 377723179, + -1, + 407293918, + 826902264, + -1, + -1, + -1, + 239060642, + -1, + 129673544, + 832575194, + -1, + 82769560, + 417179906, + -1, + 795091046, + -1, + 144974904, + 844915704, + -1, + 314396739, + 455152217, + -1, + 439747557, + 112261058, + 749231938, + 242612786, + 956375211, + -1, + 697628480, + 48642742, + -1, + -1, + -1, + 277001578, + 640062724, + 396793848, + 647520301, + 758171479, + 570300877, + 844717951, + 900923823, + 560199215, + 407525446, + 253405058, + -1, + -1, + -1, + 740548676, + -1, + 407496348, + 794473190, + 355069154, + 35937936, + 795769645, + 974576755, + -1, + -1, + 231976592, + 676652531, + 29327352, + 52581308, + 304533889, + -1, + 390548427, + 248897130, + 642041294, + 740823007, + -1, + 280801752, + -1, + -1, + -1, + 303062799, + 736788210, + 161495387, + 803161916, + 589149519, + -1, + -1, + 428847507, + -1, + 787204380, + -1, + 443371805, + 205774996, + 828769645, + 553287818, + -1, + 257761659, + -1, + 357261844, + 185103745, + -1, + -1, + 74397631, + -1, + 498949041, + -1, + 331741160, + -1, + 591126975, + 681072474, + -1, + 220413166, + 88885050, + -1, + 568429197, + 37654239, + 374354361, + 373295652, + 41634720, + 749686448, + 980375321, + 624217370, + -1, + 468026284, + -1, + 455499995, + 625806533, + -1, + 950061275, + 597958902, + -1, + 200928444, + 202314924, + 479677053, + 84264290, + -1, + 253361559, + 151314995, + -1, + 347287091, + 525679539, + 834248312, + -1, + 717835191, + 23219952, + 683386012, + 593031437, + 538750360, + -1, + -1, + 654999414, + 157801673, + 725489765, + 620565834, + -1, + 910922821, + 331608630, + -1, + 870328237, + 178955727, + 788338212, + -1, + -1, + 218349642, + 614686067, + 613918606, + 458103666, + -1, + -1, + 565289868, + 436729517, + 355420847, + 959718409, + -1, + 414854136, + 390794337, + 430825885, + 160658, + 616510357, + -1, + 511846161, + 140099878, + 410272522, + 218449623, + 520027572, + 886707213, + 713921052, + 23244216, + 571733838, + 646494032, + 260881867, + -1, + 394849197, + 964705139, + 46424228, + 816859916, + 801584744, + 525578520, + 245007841, + 269650177, + 422978084, + 8020595, + 339484599, + 959545944, + 478818381, + -1, + 837171645, + 17705430, + 546424264, + -1, + 442616681, + 872429888, + -1, + -1, + 22299515, + 574891728, + 424099701, + 901090466, + -1, + 121993872, + 645383410, + -1, + 861339441, + -1, + -1, + 49086123, + 113768303, + 968048332, + -1, + 132926373, + 142025141, + 132250157, + 961224394, + -1, + 824785822, + 814369710, + 780803365, + 739860910, + 454332231, + 671498494, + 153092620, + 548425969, + -1, + 470868579, + -1, + 46031068, + -1, + -1, + 865609126, + 920724966, + 781867953, + 671208006, + 45440021, + -1, + 208075271, + 204901344, + 486805707, + 501206966, + 125219484, + -1, + 349567859, + 613798846, + -1, + -1, + 323842954, + 476310834, + 798570892, + 725959483, + -1, + 977350377, + 108729270, + -1, + 478537823, + 86607394, + -1, + 911185680, + 869547211, + 962485635, + 148154531, + 146257126, + 945168882, + 829130551, + -1, + 346343548, + 945171098, + -1, + -1, + -1, + 896723696, + 607258343, + -1, + 7220789, + 922461975, + 624512917, + 118488781, + -1, + 156293866, + 580671981, + 84560207, + 380498713, + -1, + -1, + 727368610, + 378262248, + 239949188, + 456542319, + 860777281, + 720490675, + 679495732, + 420962877, + 771673035, + -1, + -1, + -1, + -1, + 824048978, + 761117726, + 928494350, + -1, + 645776231, + 3605148, + 533445205, + 23049934, + 456200477, + 928735944, + 183473438, + -1, + 539404550, + 608130329, + -1, + 854347254, + -1, + 227700070, + 776220724, + 838464335, + 60385908, + 406881744, + 33076814, + 350602737, + 357696931, + 635201127, + 744720900, + 754170094, + 597225557, + 738059698, + 942531205, + 6496527, + 129945274, + -1, + 164412624, + -1, + 151208569, + -1, + 24777553, + 296825775, + -1, + -1, + 333322608, + -1, + -1, + 695035808, + 494683066, + 657834752, + -1, + 843148412, + 559470351, + 553799186, + -1, + 877173575, + 107828006, + 490991865, + 761018722, + 821946646, + 910018943, + 207560996, + -1, + -1, + 788672012, + 115786851, + 21921534, + -1, + 30542, + 827687335, + 974079585, + -1, + -1, + -1, + 775422383, + 218273393, + 708693538, + 729720114, + 470139255, + -1, + 793860601, + -1, + 15698659, + -1, + 665558331, + 262333177, + 271144908, + 318737139, + 993417149, + 599865692, + -1, + 223965035, + 501444487, + 37727299, + 123700688, + 820367741, + 317724129, + 194681356, + 814147562, + 571893027, + -1, + 164250943, + -1, + -1, + 735609473, + 881715318, + 983860914, + -1, + -1, + 853037590, + 138121034, + 729530457, + 979750279, + -1, + -1, + 676999854, + -1, + 452818622, + 216898543, + -1, + 447829138, + 309146846, + 736394022, + -1, + -1, + 642281810, + -1, + -1, + -1, + 650489394, + 460569890, + 210847161, + 970049512, + 166131391, + -1, + -1, + 435455129, + -1, + 788571325, + -1, + -1, + -1, + 453374025, + 567950738, + 358314538, + 647098701, + 28434087, + 185667936, + -1, + -1, + -1, + -1, + 593354120, + -1, + 951924721, + -1, + -1, + 355557310, + 662346844, + -1, + -1, + 548547264, + -1, + 635405986, + 68580983, + 300483081, + -1, + -1, + -1, + 99319130, + 410314503, + 220715468, + 730588542, + 586000552, + -1, + 940487911, + -1, + -1, + 834597568, + -1, + 621988259, + 171894204, + 135555272, + 702914711, + -1, + -1, + -1, + 509477145, + 683171134, + 66691212, + 658907355, + -1, + 11298837, + 364661712, + 406392663, + 990916304, + -1, + 636389579, + -1, + 733391483, + -1, + 221692315, + 482155485, + -1, + 276586033, + -1, + 947355114, + -1, + -1, + 138172965, + 986301708, + 578187886, + -1, + 744942976, + 357985927, + -1, + -1, + -1, + 847223831, + -1, + -1, + 499905033, + 177550850, + 78938726, + 982552709, + 733665581, + 833474418, + -1, + 276022463, + -1, + 176013180, + -1, + -1, + 193341841, + -1, + 114073684, + 361084679, + 942869993, + 719159991, + -1, + 207374014, + 16991991, + 461647865, + 483488868, + 10484590, + 262201815, + 56322248, + 174591289, + 734912665, + -1, + 126288184, + -1, + 230907821, + 797665573, + 821606370, + 383579966, + 495702087, + 899397177, + 617373639, + 816623809, + 503118722, + 223184467, + 559438010, + 162801469, + -1, + 378101191, + 307541617, + 902524816, + 28512789, + 984122991, + 852567655, + 150199701, + 453914914, + 867545613, + 914606078, + 784836408, + 748445504, + 736938288, + -1, + 227193863, + 773412510, + 562102181, + 881333643, + 920819653, + 268662897, + -1, + -1, + -1, + -1, + -1, + -1, + 787993647, + 572471408, + 111534199, + -1, + 356495237, + -1, + 244123690, + -1, + 339272761, + 459213821, + 732075515, + 192878273, + 621400941, + 985987173, + -1, + 8452800, + -1, + 981308800, + 368164459, + -1, + -1, + 727046809, + -1, + 955454750, + 333108391, + 601468664, + 110333915, + 464213071, + 462346304, + 20216021, + 123543434, + 253950602, + 746640422, + 381039212, + 578289757, + 563301585, + 640590397, + -1, + 370695018, + -1, + -1, + -1, + 802471155, + 545215228, + 821914704, + 676859303, + 399970595, + 349875244, + 550845554, + 642955142, + 658992599, + -1, + 741998173, + 778283299, + -1, + 382651258, + -1, + -1, + -1, + 225675555, + 685157893, + 468214628, + 647101316, + 749790383, + 654635342, + 260131584, + 341473874, + -1, + -1, + -1, + 616538315, + -1, + -1, + 643321334, + 267536015, + 489966136, + -1, + 408950351, + 692702476, + 896012433, + 38462760, + -1, + 71909058, + 597533074, + -1, + 328541242, + 431382543, + -1, + -1, + 560285965, + 734143770, + -1, + 221570424, + -1, + 139534872, + -1, + 245288297, + -1, + 307538820, + 573997892, + -1, + 228121578, + 721648546, + 934399125, + -1, + -1, + -1, + 601640096, + 382299588, + 234612104, + 673837299, + 998900762, + 476312812, + 435763737, + 387110187, + 782468452, + -1, + 921519200, + 982713378, + 156795733, + -1, + 922682681, + 588120703, + 548649082, + -1, + -1, + 757692117, + 412260598, + 594911889, + 451372855, + -1, + 751408470, + 544671055, + -1, + -1, + 631895154, + -1, + 156661679, + 853168283, + 494434485, + 869039825, + 655461491, + -1, + 625981566, + 56408463, + 62350957, + -1, + -1, + 804861130, + 563260675, + -1, + 985334159, + 977887995, + 243588319, + 887349938, + 147290841, + 323841739, + 757613029, + 843109536, + 558071499, + -1, + -1, + -1, + 317944624, + -1, + 49089491, + 608333017, + -1, + 346487745, + 977188945, + -1, + 85886148, + -1, + 400110522, + -1, + 914909915, + 360103024, + 286340464, + 510342987, + 96463465, + 187652901, + 859720288, + 642829026, + 893170112, + 322762511, + -1, + 337823585, + 339693512, + 527432097, + 185947934, + 569547698, + 531101290, + 907671067, + -1, + 988202254, + -1, + 482850438, + 531947040, + 291601813, + 753367292, + -1, + -1, + 306950948, + 207861766, + -1, + -1, + -1, + 103772800, + 457667664, + 996584023, + 934244550, + 657002109, + -1, + 721467731, + 332973383, + 666585508, + 987794621, + 597046557, + -1, + -1, + 713073106, + -1, + 177300927, + 487540195, + 457302695, + -1, + 425682472, + 173256634, + 199006074, + 615071764, + 444610733, + 207826020, + 392589184, + -1, + 347939708, + 976095838, + -1, + -1, + 975032012, + 346336914, + -1, + -1, + -1, + 287148676, + 324991822, + 520673367, + 331840294, + -1, + -1, + 649202558, + -1, + -1, + 616799456, + 86871010, + 660099778, + 457089135, + 800710897, + 400874249, + 887969982, + 444217324, + 521432609, + 640720604, + 296049154, + -1, + 461595871, + -1, + -1, + 887426619, + -1, + -1, + 668590111, + -1, + 283501144, + 379587108, + 893281108, + 890498034, + -1, + -1, + 659747546, + 775567589, + 418430527, + 319222995, + -1, + 598430992, + 686607608, + 600853313, + 842087204, + 421263392, + 387102854, + 860001216, + 462322639, + 926018482, + -1, + 328387784, + -1, + -1, + 465636844, + 972009588, + -1, + 504056650, + 632306443, + -1, + 414219834, + -1, + 793141920, + 739534021, + -1, + 971984928, + 324644497, + 688051436, + 591031385, + -1, + 255651476, + 505619235, + 838576329, + 985053244, + 233513149, + 456246755, + 261419583, + 607891747, + 76841696, + 786715029, + 507261573, + 411625924, + -1, + -1, + 604216411, + 341555174, + 685109201, + 666298134, + 275829006, + 617927317, + 811122952, + -1, + 83099152, + 364365500, + 50387703, + 208008307, + -1, + 513998203, + 432927899, + 687181269, + 204266749, + 184490230, + 230135168, + -1, + 515503568, + 19222486, + 727362392, + 866269759, + 13943765, + 106455930, + 604781540, + 2306021, + 571356343, + -1, + 639293008, + 590401369, + -1, + 42144392, + 823697447, + 314429061, + 509365244, + 418115696, + 868298521, + 124417812, + -1, + 801053153, + 991812482, + 106589614, + 956109267, + 487749962, + 254354975, + 674928796, + -1, + 923033533, + 637798263, + 567940499, + -1, + 293336211, + 403487484, + 254272329, + 890743708, + 901712429, + 187498431, + 794197626, + 507075081, + -1, + 349987585, + 96042120, + 654771126, + -1, + 593810423, + -1, + -1, + 373728771, + 219495011, + 511261509, + 130287758, + 756058778, + -1, + -1, + 477966901, + 499018759, + -1, + -1, + 249157794, + 302042082, + -1, + -1, + 784064820, + -1, + 944471210, + 443352892, + 262126744, + 396440001, + 20563515, + 136422129, + -1, + 25561183, + 555829553, + 142860686, + -1, + 263448232, + 124375397, + 979441495, + -1, + 983510880, + 726341282, + -1, + -1, + 903878138, + 582104749, + 686527206, + 961608357, + -1, + -1, + 366878337, + 179407932, + 966825960, + 159271074, + -1, + 495400633, + 335183692, + -1, + 446600339, + 598278644, + 896059000, + 17914758, + 131745022, + -1, + 68694666, + 53449463, + 113350214, + -1, + 2000557, + -1, + -1, + 314893743, + -1, + -1, + 157203207, + 48957006, + 377495457, + 170120369, + 627297074, + 987356902, + 317506392, + 10873799, + 969186771, + -1, + 979451654, + 203447652, + 33486763, + 224699038, + 775604908, + 122640735, + 622511256, + 17938063, + 46166545, + -1, + 107962429, + 399963376, + -1, + -1, + -1, + 4945483, + 389932131, + 962405292, + -1, + -1, + 583881412, + 456006430, + 546370346, + 326232547, + 509512969, + 13001188, + 641989320, + 409000565, + -1, + 632904478, + 788604484, + 498698203, + 701597050, + -1, + 505673035, + -1, + -1, + -1, + 274650307, + -1, + 923415975, + -1, + -1, + 562904176, + -1, + 47257071, + 343367749, + 329905683, + -1, + -1, + 232082455, + 295775531, + -1, + 997051959, + 739549795, + 318079861, + 922138672, + 996794468, + 676580360, + 557950159, + 962136543, + 471843557, + -1, + -1, + -1, + 323328990, + -1, + -1, + 163316160, + -1, + 259374943, + 924795420, + -1, + -1, + 696816325, + 192720082, + 988566627, + 300470509, + 183777182, + 324768060, + -1, + 510420849, + -1, + 899439596, + 652690473, + 3361485, + -1, + 773824047, + 721579430, + -1, + -1, + 817547509, + 403594213, + -1, + -1, + 441206102, + 192603630, + -1, + -1, + -1, + 664445365, + 347763558, + 363735969, + 277245871, + 646698525, + -1, + 159774623, + -1, + -1, + 307493769, + 930413508, + 777550876, + 822520759, + 505977601, + 922962706, + -1, + 280663197, + 534439917, + 406403403, + 128999306, + 517047815, + 131599202, + 646476624, + 843794737, + -1, + 57135735, + 729184126, + 195684323, + -1, + 944378748, + 285635278, + 714373323, + 69705322, + 73904996, + -1, + 535782345, + -1, + 242837641, + 389332751, + 372972647, + 454429907, + 487553718, + 596787798, + 637258953, + 112403967, + 725845706, + 331447473, + 359319467, + 695158733, + 247791203, + -1, + 558428923, + 634769030, + -1, + -1, + 740484728, + -1, + 461069939, + 508444133, + 476768925, + 146515275, + -1, + 945764281, + -1, + 409861170, + 703233379, + 449188338, + -1, + 254628171, + 895341245, + 30484909, + 911956067, + 614405325, + 772959897, + 715528805, + -1, + -1, + 240115040, + -1, + -1, + 783218432, + -1, + 901561733, + 3630246, + -1, + -1, + 597667299, + 717298298, + 402479809, + 215604305, + -1, + 376124774, + 78552803, + 737336878, + 476261673, + 623444357, + -1, + -1, + -1, + 835213841, + 830689861, + 385324052, + 375429023, + 33538766, + 328357178, + 169052246, + 38755922, + 103757183, + 591644933, + 851980534, + 285123098, + 843114467, + -1, + 445447409, + 302227855, + 180519826, + 843221114, + 105243996, + 984985482, + 388103522, + -1, + -1, + 484474223, + -1, + -1, + -1, + -1, + 505102556, + -1, + 437416925, + 507035141, + -1, + 347286442, + 974201609, + -1, + -1, + -1, + 820134201, + 603702892, + 955005568, + 427275169, + 887692070, + -1, + 584336664, + 848773559, + 747895848, + 303440481, + 413740128, + 28871801, + 697392185, + 784553589, + 444074928, + 945354135, + 545572733, + -1, + 979252849, + 610092316, + 497577126, + 936870547, + -1, + 971539239, + -1, + 109253180, + -1, + 570966789, + -1, + 331224899, + -1, + -1, + 533368382, + 906774390, + 472227387, + 771356113, + 550310599, + -1, + -1, + 187919112, + 719763852, + -1, + 352720880, + 843506606, + 292558658, + -1, + 709778344, + 338276422, + 551820261, + 361736217, + 59887047, + -1, + 805936963, + 577256853, + 697589027, + 480234214, + 438336734, + 145036961, + 556640137, + -1, + -1, + -1, + 797630957, + 581443226, + -1, + -1, + 954810317, + 988565863, + 825334475, + 584350674, + -1, + 950817643, + 900019001, + 124868262, + -1, + 161383426, + 755979992, + 639490188, + -1, + -1, + 184037428, + 249719427, + 116992108, + 838342275, + 243299095, + 25178820, + 201306798, + 434342115, + 730650990, + 239558119, + 94716941, + 887049160, + 700018908, + -1, + -1, + -1, + 977185332, + 61365033, + 87313952, + 226032092, + 867775535, + 945000117, + -1, + 312504208, + 434286350, + 218765583, + 136010077, + 447970677, + 347887102, + -1, + -1, + -1, + 750958094, + 504573131, + 233894611, + 830045101, + -1, + 180086140, + 154766067, + 590263854, + 679305434, + 195599101, + -1, + -1, + 204617959, + 123677863, + 470619820, + -1, + 574704773, + 855359592, + 848400623, + 613257489, + 941018120, + 696270709, + 766558081, + 100787916, + 289319641, + -1, + -1, + -1, + -1, + -1, + 805184476, + -1, + 538810478, + 302363950, + -1, + 59128518, + -1, + -1, + 761781683, + -1, + 273709205, + 136145626, + -1, + 250367206, + 440679650, + -1, + -1, + 900719777, + 669340086, + -1, + 949469564, + -1, + 374186380, + 126011330, + 966083549, + -1, + 913845357, + 935127664, + 36117392, + 679569404, + 668786634, + 543802688, + 900742057, + 363951704, + 730670381, + -1, + 693921484, + -1, + -1, + 964432033, + 976134445, + -1, + 38864686, + -1, + 286390742, + 22399728, + 9091854, + -1, + -1, + 462209786, + 425808029, + 750134761, + 598180518, + 392694117, + -1, + 409161976, + 807282701, + -1, + 405956328, + 48157070, + 6468818, + 362333786, + 721334719, + -1, + -1, + -1, + -1, + 760036723, + 87338385, + -1, + 380307023, + -1, + 878340153, + 55149310, + 650029290, + 860572659, + 953094884, + -1, + 377467633, + 87675466, + -1, + 905390623, + 268126127, + 597170007, + 712344, + 430423087, + 725675226, + -1, + 639940099, + 271716570, + 399552061, + 229057377, + -1, + 596660733, + 11545624, + 854474733, + 346500569, + 103165770, + -1, + 162729245, + 13522187, + 981006263, + -1, + -1, + -1, + 914260835, + 945466715, + 654311901, + -1, + 738085150, + 555566158, + 671788759, + 345659875, + -1, + -1, + -1, + 839281577, + 530258666, + 722592589, + 255782755, + -1, + 505888281, + 103029136, + 954529843, + 43469840, + 434328868, + -1, + 838433286, + 254542722, + 768144810, + -1, + 882300255, + 434329565, + 150208521, + -1, + 599276650, + -1, + 258661155, + 604017383, + 429859170, + 645906550, + 285770185, + 5032542, + 721468542, + 529720600, + -1, + 642853727, + 226339340, + -1, + 715134186, + -1, + 426605025, + 470538569, + -1, + -1, + 994334466, + 496884139, + 579791804, + 454571352, + -1, + 305322306, + 997941855, + -1, + 511117211, + -1, + 631610238, + 564467341, + 940784787, + -1, + -1, + -1, + 131106565, + -1, + 289133537, + -1, + 580461618, + 407851510, + 208841966, + 189576288, + 516303393, + 464683493, + 330417187, + -1, + 235624508, + 280507327, + 859150296, + 435781218, + 978990235, + 429424575, + -1, + -1, + 960448012, + 809651679, + 784848366, + 919194124, + 744161249, + 300569556, + 315466879, + 401957667, + 924038248, + 258470189, + -1, + 768825433, + 575806525, + 201971261, + 189570813, + -1, + 794203805, + -1, + 177597089, + 340662423, + 512586044, + 474819464, + 138838019, + 762897095, + -1, + -1, + 925513246, + 399869929, + 865672080, + 936382966, + 806172826, + 548080537, + -1, + -1, + 387978801, + 49205667, + 393979350, + 42666235, + 834879824, + -1, + 438658836, + -1, + 468496196, + 847810771, + 850993107, + 588819588, + 749262036, + -1, + -1, + 272387950, + 64037163, + 222775214, + 833081771, + -1, + 847322955, + 969200492, + 832375308, + 235613574, + -1, + 918848911, + 950315663, + 14370095, + 103421671, + 653162602, + -1, + 374602906, + 167385293, + -1, + 338870976, + 788047533, + 169293146, + 622914126, + 486037792, + 856380242, + 748186867, + 349536913, + -1, + -1, + 416096506, + 24972635, + 968435968, + 308290021, + -1, + 565121705, + 136882642, + 107990916, + 477905853, + 515238735, + 335127307, + 489768357, + 540406112, + -1, + 265699587, + -1, + -1, + -1, + -1, + 371750318, + 876008135, + 422253090, + -1, + 924953631, + -1, + 467662199, + 522100007, + 121395687, + 896191481, + 889722151, + 773385968, + 28763822, + 675314313, + 509374608, + 375357632, + 455817699, + 323955760, + -1, + 579915999, + -1, + 124590812, + 781720958, + 872068036, + -1, + 379320798, + -1, + 655078341, + -1, + 991205198, + 745564607, + -1, + -1, + 677938796, + -1, + 363131724, + -1, + -1, + 628322794, + 153907834, + 914461268, + -1, + -1, + -1, + -1, + -1, + 316437846, + 548547244, + -1, + -1, + 465173992, + -1, + 771342275, + -1, + 125745251, + 906636643, + 441624750, + 636783058, + 643916237, + 250690043, + 701996799, + 251167771, + -1, + -1, + 744950585, + 871627660, + -1, + 824972302, + 15762486, + -1, + 111071391, + -1, + 541879954, + 727473867, + 723776421, + 588049638, + -1, + 918532155, + 320323425, + 637359447, + 174666901, + 269758024, + 261988448, + -1, + 983064605, + -1, + 802946217, + 168642153, + -1, + -1, + 433845916, + 376273241, + -1, + 387621599, + 177309319, + -1, + 324917779, + 182927078, + 745281265, + 414507817, + 383570022, + 31286925, + 731257217, + 228833745, + 653497853, + 949088179, + 673278282, + 259776718, + 822343775, + 163503179, + -1, + 551874544, + 482357836, + -1, + 282744080, + -1, + 478548255, + -1, + 419541666, + 375913863, + 372277399, + -1, + 675300528, + -1, + 743736292, + 622247017, + 252285945, + 971882171, + -1, + 150424342, + 422317108, + 199076508, + 507085613, + -1, + 169034667, + 684772719, + 959493580, + -1, + 851573207, + 198578852, + -1, + 894465340, + -1, + 774303872, + -1, + -1, + 545600154, + 766634378, + 324672478, + 221256409, + 76767918, + 104139173, + 225467198, + 689227732, + -1, + 427047169, + 743197507, + 437103794, + -1, + 984989784, + -1, + 993324685, + 756327037, + -1, + 669619665, + 743746550, + -1, + 202669832, + 886274260, + 807549400, + 533247466, + 528986105, + 283268316, + 194921180, + 784215788, + 411073609, + 832810187, + -1, + -1, + 998449928, + -1, + 831885724, + 948513595, + 847803707, + 387958553, + 985626942, + -1, + 465550079, + 119754573, + -1, + 973279143, + 904537865, + 92851481, + 787722776, + 921978643, + -1, + 62309077, + 25575980, + 463442755, + -1, + -1, + -1, + 894382236, + 734985883, + -1, + -1, + 813154913, + -1, + -1, + 950732133, + 893170402, + 894777229, + 478386321, + 296151524, + -1, + -1, + 187412447, + 681048429, + 437945141, + 429278677, + 280761253, + 735017531, + -1, + 160583990, + 365454889, + 718870751, + -1, + -1, + -1, + -1, + 468170449, + 157019740, + 871683114, + 349676751, + -1, + -1, + -1, + -1, + -1, + 946999546, + 439791140, + 33163972, + 615495003, + 876210867, + 305074351, + 623891841, + 177843536, + 267229555, + 200441916, + -1, + 243043119, + 406014778, + 530136310, + 669979652, + -1, + 5392040, + 821652671, + 867370478, + 796933880, + 44142383, + 556155109, + 554395382, + 983183791, + 18689343, + 328202593, + -1, + -1, + 932166824, + 942570476, + 353515248, + 203172591, + -1, + 120124298, + 419281426, + -1, + 607878482, + 601791813, + 537530998, + 102784777, + -1, + 274012144, + -1, + -1, + -1, + 615689019, + 3469886, + 561517852, + -1, + 385861492, + 208221025, + 829761256, + -1, + 217187549, + 484202713, + 378499227, + 953345134, + -1, + 906618032, + 273004679, + -1, + -1, + 10597269, + 209667596, + 453542612, + 735222750, + -1, + -1, + 525879741, + 896917021, + 358182884, + 780196199, + -1, + 662164860, + 558175322, + 287041827, + -1, + 322630771, + 11490668, + 89818426, + 438371385, + 660923469, + 658775412, + -1, + -1, + 802415807, + 88461363, + 52962019, + -1, + 127088220, + -1, + -1, + -1, + 968862412, + 374151395, + -1, + 502710533, + 312958332, + 638050003, + 123850844, + 451844153, + -1, + -1, + -1, + 937014991, + 58409612, + 378883086, + 503731796, + 744319590, + 189814989, + 751227920, + -1, + -1, + 698380597, + 11912510, + -1, + 894665633, + -1, + 302208194, + 715305442, + 208559354, + -1, + 172668452, + -1, + 394260877, + 748899212, + 807875753, + 274045032, + 70778178, + 796238423, + -1, + 312357917, + 600832143, + 191024558, + 318051695, + -1, + 282433962, + 656245517, + 712911134, + -1, + -1, + 281754243, + -1, + 35051546, + -1, + 231792374, + -1, + 438500391, + 336349191, + -1, + 28564313, + 215200901, + 933009563, + 976377183, + 36794023, + 943010289, + -1, + -1, + -1, + -1, + 584687270, + 480768112, + 174082756, + 347837461, + 849516742, + 187812091, + 43680272, + 467913932, + 846568626, + 693807725, + 814171661, + -1, + 630310603, + 203139973, + 731777653, + 321793320, + 733725041, + -1, + -1, + 345814686, + 502540267, + 666767858, + -1, + 634376960, + -1, + 138202008, + -1, + 990430280, + -1, + 305301549, + -1, + 101531282, + 897495414, + 977244336, + 923338805, + 18067704, + 991318989, + -1, + -1, + 550779512, + 975634592, + 424228770, + 5246707, + 141893513, + -1, + -1, + 722295941, + 205102259, + 3805121, + 727989895, + 204243477, + 628847327, + -1, + -1, + 729555265, + 233933056, + 363775194, + 180156976, + -1, + 14634375, + 691241398, + 322326585, + 918812371, + 10200483, + 851729398, + 189567523, + -1, + -1, + 558801170, + 291978353, + 184646243, + -1, + 653400894, + 61846240, + 964387158, + -1, + 272651388, + 280739656, + 409856869, + 273794411, + 942778669, + 551130598, + 617122917, + 515945843, + 917097214, + 672333909, + 61040125, + -1, + 963302758, + -1, + 562061447, + -1, + 20956777, + -1, + -1, + 587499916, + 568052624, + 156297443, + 223762078, + -1, + -1, + 588038345, + 399300206, + 199318378, + -1, + 375094818, + -1, + 235680090, + 257320597, + -1, + 336979533, + 821210807, + 560056931, + -1, + -1, + 34329436, + -1, + 588434233, + 577652448, + 846935914, + 467171599, + -1, + -1, + 884845490, + 990270661, + 640269766, + 708066269, + -1, + 921846940, + 997188240, + 485093610, + -1, + -1, + 53366864, + 280638008, + 335580919, + 548110421, + 671086661, + 4422215, + 129584423, + 135951691, + 82030039, + 170702456, + 906833156, + 251192521, + 714922701, + -1, + -1, + 95380853, + 842560502, + 231371255, + 103277975, + -1, + 795428537, + 135717395, + 866039146, + 501691614, + -1, + -1, + -1, + 6622591, + -1, + 973322694, + 847504303, + 464510612, + 923288112, + -1, + -1, + -1, + 519131439, + 280236111, + -1, + -1, + 668386454, + -1, + -1, + -1, + -1, + 894360318, + 823962987, + -1, + -1, + 98619155, + -1, + 900862943, + -1, + 52235327, + 732620989, + -1, + -1, + 800202354, + 919605482, + 870704917, + 445006026, + 962942014, + 695314952, + 524494448, + 667457221, + 142321993, + 836680877, + 959085645, + 752667203, + 365502565, + 415667146, + 501236797, + 198900916, + 310630102, + -1, + -1, + 830218180, + 424688008, + 137309881, + -1, + 6203186, + 539721403, + 166482526, + 516226725, + 596676143, + -1, + -1, + -1, + -1, + 38531786, + -1, + 812898711, + 487538354, + -1, + 789536560, + -1, + 582617924, + 518288788, + 148501298, + -1, + -1, + 920164710, + -1, + 2523385, + 640311135, + -1, + 123636926, + -1, + 739126057, + 48566799, + 508917, + 798185494, + -1, + 469971345, + 12362735, + 643199638, + 532089739, + -1, + 89832895, + -1, + 849804146, + 846665304, + 700746478, + -1, + -1, + 500935257, + 647581201, + 28897581, + 819751388, + 93534115, + 329434336, + 220733208, + 825741615, + 431325620, + -1, + 264963345, + 217963448, + 186979670, + -1, + 162620368, + -1, + -1, + 481137804, + 824560128, + 145516225, + 53850641, + 735562000, + 727210587, + 106086110, + 498290728, + -1, + 937906204, + 522171683, + 109019356, + 247386478, + -1, + 169892518, + 721993672, + 622403631, + 844469568, + 197927009, + 598761730, + 870048628, + -1, + 761797472, + 515274682, + 345859747, + 471247396, + 923080089, + 218396222, + 248345478, + 17670135, + 828441007, + 381012953, + 428897681, + 874292228, + 839729819, + 829020421, + -1, + 947263788, + -1, + 648133579, + 758655329, + 309595733, + 879610471, + -1, + 437862639, + 645653934, + 208229317, + 720577496, + 638476398, + -1, + 285527353, + 664303815, + 394888124, + -1, + -1, + 980234251, + 728509368, + 671144460, + -1, + 87960414, + 167663532, + 878774297, + -1, + -1, + -1, + 592094477, + 230151443, + 912508420, + -1, + 502664290, + 529624995, + 572040128, + 345348840, + 606992631, + 482152047, + 95795492, + -1, + 453616662, + 648053811, + 914060239, + 891603958, + -1, + 867099369, + 413274321, + 606791224, + 607530146, + 41601409, + -1, + 596969045, + -1, + 191267791, + -1, + 812645590, + 332555911, + 222120044, + 716444465, + 248465163, + 769198135, + 491361766, + 627285053, + 870825857, + 870817293, + 140796467, + 438249718, + -1, + 811332770, + 917951972, + 483049024, + 374467481, + 820945389, + -1, + 203847819, + 955356685, + -1, + -1, + 636930886, + 789449194, + -1, + -1, + 296820349, + -1, + 808694356, + -1, + 207031309, + 229182911, + 547938556, + 855228295, + -1, + 428262386, + 431267752, + 917263143, + -1, + -1, + -1, + 124341039, + 177677095, + 119136238, + 888928059, + 391016434, + -1, + 748649819, + 529374521, + 406347668, + -1, + 519931861, + 530370643, + 892645544, + 700901114, + 330303392, + 711061577, + -1, + -1, + -1, + 663967300, + -1, + -1, + 253102063, + 525726974, + 782755156, + 989968224, + 356292806, + 532227995, + 879442915, + 276998912, + 40060615, + 79174647, + 377861651, + 990869329, + 773437323, + -1, + 763843126, + 870153134, + 836978208, + -1, + 951227627, + 195492574, + 313596420, + -1, + 752193436, + 982463932, + 792772273, + 735910042, + -1, + 391242345, + -1, + 817133675, + 336312900, + 639147615, + 417072788, + -1, + 951589157, + -1, + -1, + 960258948, + -1, + 123291968, + 727822001, + -1, + 502123299, + 999639624, + 162775757, + 81393282, + 538763521, + 738996525, + 941833054, + 451233824, + 74079412, + -1, + 131492198, + 777381817, + 658084123, + -1, + 619821906, + -1, + 244406024, + 302490663, + 869457199, + -1, + 386256221, + 438096074, + 352040003, + 918139174, + 160581544, + -1, + -1, + -1, + -1, + 964927537, + 439189574, + 35863297, + 342112520, + 733800415, + -1, + 664033578, + 112125197, + 240255570, + -1, + 18701129, + 967733246, + -1, + -1, + 888192827, + -1, + -1, + -1, + 701086277, + -1, + 671024430, + -1, + 750339909, + 142208412, + 72561968, + -1, + 572567064, + 886746974, + 165443029, + 402465587, + 631896631, + 28374007, + -1, + 119707159, + 872301066, + 882024680, + -1, + -1, + 136159765, + 568414333, + -1, + 536788000, + 433730269, + 579597807, + 668380603, + 873998918, + 793362524, + 516015036, + 800171750, + -1, + 357844953, + 117012551, + -1, + 479333333, + 149618710, + 631338634, + -1, + 968809524, + 652616011, + 471095299, + -1, + 89139492, + 384460315, + 36232193, + 950440585, + 469070546, + -1, + -1, + -1, + -1, + -1, + -1, + 803488845, + 669550234, + -1, + -1, + 34950803, + 484243672, + 426581578, + 627418319, + 107550242, + 859339014, + 632328134, + -1, + -1, + -1, + 896751651, + -1, + 655748177, + -1, + 351952553, + 57726522, + 81383342, + 938962336, + -1, + 739798584, + -1, + 416381301, + 311926229, + 187622843, + -1, + 720720362, + -1, + -1, + 581044084, + 617005013, + 959668438, + -1, + 574152242, + 911328551, + 882119520, + 639188000, + -1, + 239201379, + -1, + 574372723, + 484788993, + 705227532, + 20613112, + 369232167, + -1, + 565664533, + 203420049, + 848443414, + 152519829, + 235268674, + 987709731, + 439995852, + 199396375, + -1, + -1, + 530897129, + 753729560, + 735281813, + 374554921, + 824170702, + -1, + -1, + 386783841, + -1, + 475206889, + -1, + 707171051, + 194855566, + 524752059, + 581388519, + 721873579, + 602804553, + -1, + 548944544, + -1, + 809572306, + 180042529, + 48761706, + 191128404, + 947598978, + 179491998, + 300040396, + 178462609, + 544394079, + 351122609, + 320384617, + 347288013, + 557174295, + 252717601, + 765874770, + 490199352, + 966428148, + 369298520, + 43193820, + -1, + 842604137, + -1, + 924462380, + 695386055, + 623315530, + 30146681, + 84478410, + 604385115, + 83322382, + 796581802, + -1, + 218230668, + -1, + -1, + 956861692, + 664204640, + 512762416, + 940415900, + 844026959, + 929028038, + 803891254, + -1, + -1, + 549711565, + 576597375, + 989714600, + -1, + -1, + 633234590, + -1, + 519376256, + 698011309, + 751587114, + 550239693, + 947344678, + -1, + 616525103, + -1, + -1, + 621297254, + -1, + -1, + 240535239, + 959072334, + 804610403, + -1, + 104578087, + 598093678, + 413730687, + 656662190, + 805873503, + 110611134, + 257321457, + 564058726, + 313503439, + 634708277, + 649867297, + 694341216, + 926076400, + 622110794, + 531385909, + 69600619, + 539740564, + 293425798, + 134059051, + 10983954, + 64205314, + -1, + 817467698, + 630131000, + -1, + 624578383, + -1, + -1, + 687690314, + -1, + 25221535, + 666889982, + 993466728, + 468545804, + 211230532, + -1, + -1, + 250964538, + 117467800, + 290519538, + 686909991, + 611690885, + 634187643, + 985993622, + 329479419, + 888555398, + -1, + 428787597, + 24616349, + -1, + -1, + 527494295, + 898595345, + 301362436, + 999014787, + 759511822, + -1, + -1, + 854229769, + -1, + -1, + 223711626, + 46117160, + 896587455, + 827946589, + 59224890, + -1, + 859131466, + 703863075, + 588616479, + 137983218, + 226940535, + 856889666, + 488607681, + 624435712, + 324711869, + 775824661, + -1, + 704622380, + -1, + 577820544, + 37537996, + 611285222, + -1, + 247926803, + -1, + -1, + 323912520, + -1, + 109193715, + 369139311, + 76115775, + -1, + 899125218, + 958094897, + 603197351, + -1, + 108212281, + -1, + 807545101, + 993513439, + 535573524, + 951268687, + 119992089, + 113361965, + 245107361, + 419030882, + 815024896, + 443941234, + 877249951, + 282733213, + 341962202, + 278962366, + -1, + 270774240, + 112374955, + -1, + -1, + -1, + -1, + 218586774, + 510784989, + -1, + 669995914, + 509705877, + 169794823, + -1, + -1, + 555441889, + 841261190, + 716544346, + 349543220, + 718203296, + -1, + 15634438, + 850093115, + 329107312, + 582297297, + 863445081, + 49843996, + -1, + 490994186, + 553362016, + 943810391, + 665440377, + 227526481, + 942658231, + 601061163, + 325894196, + -1, + 47025752, + 688927763, + -1, + 766504719, + -1, + 138072491, + 784388648, + 757118733, + 746380868, + 415565299, + -1, + 569364133, + 858788348, + 822468723, + 401912216, + -1, + -1, + -1, + -1, + 461472244, + 674811801, + 120493806, + 132771951, + -1, + 659780399, + -1, + 634154327, + 138080452, + 468484846, + 614031950, + -1, + 624326027, + 327889391, + 529359345, + -1, + 884341146, + 244611989, + 365497509, + 522674790, + 352162723, + 441627585, + 284470432, + 457593481, + 217949523, + 972123527, + 553711229, + 518270030, + 225658772, + -1, + 315541078, + -1, + -1, + 3907427, + 622439137, + 491353532, + 547786852, + 904888747, + -1, + 134732448, + 179903340, + -1, + 3593998, + 966089411, + 713006719, + 686691642, + 701381312, + -1, + 340863649, + 956435244, + -1, + 122922532, + 769789054, + 898365730, + 50108144, + 121851923, + 70371410, + 133871211, + 710412147, + -1, + 430526034, + 772385047, + 420835237, + -1, + -1, + -1, + -1, + 301556601, + 949464307, + -1, + 649273390, + -1, + -1, + 736072193, + 416548546, + 949262255, + 391878009, + -1, + -1, + -1, + 830511836, + 281803162, + -1, + 928196907, + -1, + 37426413, + -1, + 576552812, + -1, + -1, + 679070176, + 842856491, + -1, + -1, + 245916227, + 33520332, + 653848798, + 473103920, + 818030863, + -1, + 616222829, + 326822815, + 833136420, + 245053967, + 753958188, + 474528550, + 610759834, + 821175236, + 609366434, + -1, + -1, + 26064611, + 183331968, + -1, + 605243850, + 894265260, + 563041829, + -1, + 524102438, + 394292217, + 544364230, + 642431867, + 243753698, + -1, + 740141513, + 778365822, + 201197752, + 606243345, + 479387516, + -1, + 798119669, + 511486818, + 244666112, + 852347016, + 342408295, + 251256978, + 443585388, + -1, + -1, + 232930743, + 532232595, + 126998063, + -1, + 769475083, + -1, + 350223479, + 183171776, + -1, + 585289094, + 495406243, + -1, + -1, + 31824217, + 596666265, + 487251997, + -1, + 705404585, + 213268636, + -1, + -1, + -1, + 207800127, + -1, + 411369292, + -1, + -1, + -1, + 49402104, + 885799056, + -1, + 217546087, + -1, + 599469474, + -1, + -1, + 779305148, + 78265456, + 245263351, + -1, + 321755781, + -1, + 682530061, + 113786048, + 694757569, + 932109126, + -1, + 278186163, + 12818639, + -1, + -1, + 401208626, + -1, + 33172125, + 623524045, + -1, + 883051821, + -1, + -1, + 896710855, + 696716488, + 258628510, + 435924694, + 853995125, + 952399912, + -1, + 33567634, + 191376585, + 841941515, + 857728292, + 261980821, + -1, + -1, + -1, + 199768104, + 698279224, + -1, + 62723873, + 456886545, + -1, + -1, + 351750554, + 641933233, + -1, + 870483472, + 326104738, + 521344679, + 649549053, + 568996614, + -1, + 384736141, + 599247176, + 84398634, + -1, + 447106453, + 784602935, + 296311338, + -1, + 262202567, + 547673199, + 734901014, + 520705095, + 116231813, + 385303190, + 690105640, + -1, + 372176386, + 600658630, + 221335171, + -1, + 889931852, + -1, + 632340981, + -1, + 562253335, + 789855937, + 711611880, + 540449231, + -1, + -1, + 687266292, + 266129171, + 694482576, + 830903878, + 920791719, + 86122393, + 546945736, + -1, + 642376861, + 535816611, + 823096006, + 77775317, + 245984807, + -1, + -1, + 147396085, + 58525372, + 277028231, + 995467922, + 874469416, + 712693056, + 385957152, + 438281860, + 437890827, + 396709499, + 382760074, + 173855692, + 23105363, + -1, + 734096127, + 432035918, + 893256216, + 488799737, + 675429321, + 500068753, + 966052695, + -1, + 300217337, + -1, + 347844336, + -1, + -1, + 598108697, + 482798711, + 766149041, + 958463707, + 736845778, + -1, + -1, + -1, + -1, + 242194142, + 252892367, + 259150952, + 488341658, + 475715010, + 306136666, + 660567455, + 65594296, + -1, + 230487907, + -1, + -1, + 750646035, + -1, + -1, + -1, + 782250494, + 13580520, + 349214089, + 94372950, + 73540723, + -1, + -1, + 904152783, + 289878456, + 403463061, + 360233531, + -1, + 904999737, + 847901611, + 207753812, + 232958454, + 977362733, + 767961896, + -1, + 668003685, + 174600926, + 190531547, + -1, + 403157361, + 337640248, + 192582160, + -1, + 560944938, + 936860359, + 405445765, + 819126710, + 109933016, + -1, + -1, + 637694128, + -1, + -1, + 199348479, + 747808495, + 245413649, + 611947176, + 735329513, + 42596840, + 640738552, + -1, + 111549833, + 747316728, + 691079320, + -1, + 935521280, + 891420028, + -1, + 498833397, + 349651870, + 369538253, + 297393068, + -1, + -1, + -1, + -1, + 678212285, + 991549026, + 468821658, + -1, + 759050715, + -1, + 542347803, + 926734964, + 370993999, + 410420773, + -1, + 563614567, + 851461300, + 128865687, + -1, + 759202106, + 297693452, + -1, + 701643286, + 188425898, + 684114378, + 241530855, + 454101554, + 221167493, + -1, + 520201076, + 916316886, + 867794850, + 330098010, + 631094496, + 178780734, + 486759590, + 916420345, + 369387184, + 803090844, + -1, + 307058960, + 45165684, + -1, + 783992097, + -1, + 658566202, + -1, + -1, + 445439502, + -1, + -1, + 209643894, + -1, + -1, + 810048293, + 102631996, + 62176434, + 76500040, + 377873298, + 647086563, + 614126892, + 99207451, + 23170012, + -1, + -1, + 557101285, + 873991573, + 556168921, + -1, + -1, + -1, + -1, + 45127920, + 813519760, + 356261004, + 501271436, + 453318904, + 640938110, + 600757345, + 72051535, + 570422614, + 115769430, + -1, + 362813349, + 752082430, + -1, + 162789051, + 606347900, + 91061320, + 96344081, + 749691832, + 335647679, + -1, + -1, + -1, + 518340875, + -1, + 39261706, + 188308093, + 457864226, + 537401602, + 890557209, + 350253654, + 347836564, + 713580960, + -1, + 562660014, + 571307485, + 468518234, + 292525029, + 309877691, + 57639982, + 20632313, + 752550524, + 915518940, + 513752811, + 868655792, + -1, + -1, + -1, + -1, + -1, + 820994505, + -1, + 924808004, + 596149875, + 459860705, + -1, + 470179908, + 488361318, + -1, + -1, + 997012543, + -1, + 595503217, + 919600351, + -1, + -1, + 978160980, + -1, + 196829556, + 433764576, + 379143140, + -1, + 882587227, + 849466596, + 634451322, + 107701714, + 894087373, + 410905365, + 955931796, + 78336951, + 453102022, + -1, + 470383734, + 941607147, + -1, + 302687630, + 159038784, + 44418086, + 874255978, + 66305412, + 251672458, + -1, + 310085377, + 382061240, + 434654153, + 660962025, + -1, + -1, + 166550651, + -1, + 356356642, + 867214071, + 546571695, + 180429367, + -1, + -1, + -1, + 378463761, + 672569340, + 867559073, + 142445154, + 865439688, + -1, + 167618629, + 389049339, + -1, + 460066575, + -1, + 770559611, + 214078659, + 272300326, + 784401756, + 895810363, + -1, + 57743209, + 666045038, + 508889618, + 260996463, + 58075661, + 89011056, + 619734278, + 24516630, + 571695568, + -1, + 283659923, + -1, + 344108659, + 322480513, + 949612124, + 932280098, + -1, + 214317690, + 224766675, + 29770922, + 599241002, + 266983183, + 72741227, + 785737409, + 177302071, + 641391814, + 238819420, + 799783510, + 3736192, + 169671832, + 416690783, + 130486793, + 860266429, + 92626883, + 128041463, + -1, + 261840342, + 805972163, + 793446689, + 539021140, + -1, + 250204768, + 972291993, + 403612071, + 512851822, + 170505508, + 111725804, + 641951844, + 667322533, + 169725114, + -1, + 449878251, + 782941328, + -1, + 62526858, + 749653057, + 200169695, + 716378916, + 380883396, + -1, + -1, + 317203227, + 620625495, + 891750203, + 571712797, + 826739242, + 11286686, + 533959098, + -1, + 900434573, + 336801379, + 658562044, + -1, + -1, + 990872268, + 371689507, + -1, + 666666696, + 241186521, + -1, + -1, + -1, + 61461104, + -1, + 181951954, + 525436876, + -1, + -1, + -1, + -1, + 983040795, + 946309213, + -1, + 169991593, + 448860974, + 746976944, + 896348653, + -1, + 257379596, + 852923554, + -1, + 370274053, + 796092782, + 782978654, + 856190314, + 761741130, + -1, + 473814823, + 788338289, + 197093129, + 849925405, + -1, + 308241930, + 409817873, + 670599324, + 956516257, + 301331688, + 652859003, + 480497043, + -1, + 316995158, + -1, + 147602621, + 634862709, + -1, + 425170595, + -1, + 230731191, + -1, + -1, + 402090593, + 182545114, + 579680612, + -1, + 522388401, + 2720653, + 2009724, + 622337295, + 74125768, + 661041665, + 743067153, + 97576671, + -1, + -1, + 821082753, + 322272639, + 80409471, + 444476584, + 566392594, + -1, + 694702243, + 526447155, + -1, + -1, + 230483679, + 972383717, + 145667109, + 193929647, + -1, + 808582098, + -1, + -1, + 228406274, + 741382224, + -1, + 812973557, + 99879389, + 934085365, + -1, + -1, + 406804504, + 666827784, + -1, + 529816057, + -1, + 927563295, + 619292311, + 163353680, + -1, + 965722670, + 842273163, + -1, + 484261917, + 711052739, + -1, + 969015354, + -1, + 159056382, + 696696793, + -1, + 457813473, + 868539452, + 233079324, + 151835518, + 728752233, + 642986185, + -1, + -1, + 428269730, + 172854535, + 758001117, + 144412090, + 803852847, + 59866408, + -1, + 263339598, + -1, + -1, + 897446450, + -1, + 311561639, + 426226369, + -1, + -1, + -1, + 511597661, + 322550329, + -1, + 700845253, + 191287972, + 981720408, + 413640228, + 192656261, + 742735301, + 408093363, + 309683098, + -1, + 314803720, + 714250801, + -1, + 112626622, + 29834366, + 23489680, + 828087951, + 189911144, + -1, + 681276071, + 603579553, + 529408428, + 304665677, + 180743812, + 694179395, + 996847517, + 773490715, + 933515439, + -1, + -1, + 22886052, + 251028135, + 101254053, + 485761939, + 430529495, + -1, + 308152952, + 60789566, + -1, + 269097970, + 763936412, + -1, + 358707267, + 308907263, + -1, + -1, + 580239290, + 649443653, + 859917425, + 987809589, + -1, + 362877206, + 854363919, + 508715489, + 538438672, + -1, + 335950112, + -1, + 302194715, + 745085706, + -1, + 582466816, + 898676824, + 10761834, + 998296582, + -1, + -1, + 432746237, + 939276271, + 487149169, + -1, + 669917653, + -1, + 411254201, + 758659015, + 72563135, + 915717993, + -1, + -1, + -1, + 88495497, + 204031169, + -1, + 116664190, + 666095734, + -1, + 967062550, + 351127356, + 539327049, + 111868263, + 934735701, + 576496485, + 239024892, + 420630142, + 751816669, + -1, + 287987917, + 744773355, + -1, + -1, + 919881254, + 551609797, + 832005538, + -1, + 48225208, + -1, + 809333205, + -1, + 763101205, + 624417833, + -1, + 522043307, + -1, + 585321823, + 733658571, + 21150380, + 892823163, + -1, + 935593445, + 636053309, + 870667500, + -1, + 11851354, + -1, + -1, + 747341194, + 537023949, + 579048807, + 101887216, + 769244594, + 474510145, + 799020962, + -1, + 348523269, + 59056961, + 230465300, + -1, + 749007006, + -1, + 381426641, + 566387267, + 958645086, + 718887209, + -1, + -1, + -1, + 559608321, + 200832234, + 622807489, + 608905546, + 441509785, + -1, + 884472961, + 151657780, + 647210123, + 581701831, + 741016292, + -1, + 890326679, + 161941384, + 763794907, + 667411689, + -1, + 457119533, + 618186146, + 663404406, + 895116156, + 696021644, + -1, + -1, + 618170570, + 958051004, + -1, + 298623333, + 724950960, + 558021945, + 738107274, + 425561844, + -1, + 589353801, + 771248767, + 145068456, + 325756036, + 940014075, + 513856575, + -1, + 196959226, + 977261812, + -1, + 645227246, + 161059906, + -1, + 213822351, + 470679511, + 912624673, + 913616719, + 34163332, + 864752848, + 135721625, + -1, + -1, + 605280303, + -1, + -1, + 457239834, + -1, + 460963506, + 359942106, + 436783652, + 123760558, + 109793781, + -1, + -1, + 552425756, + -1, + -1, + -1, + 506294233, + -1, + 24171936, + -1, + 919821109, + 553694421, + 603222046, + 281434568, + -1, + 206552356, + 717776121, + 638120500, + 415828485, + 420470245, + 857378235, + 671478616, + 507586722, + -1, + 8239911, + 945370401, + 670304354, + 513051869, + 435483675, + 637767285, + -1, + 237967832, + 587963505, + 647312345, + 825750439, + -1, + 660403611, + -1, + -1, + 313207522, + -1, + -1, + 808102619, + 814535511, + 687221894, + -1, + -1, + 831111948, + 429325795, + 484874733, + 40536993, + 383815355, + -1, + -1, + 979186224, + 643978222, + 887919849, + 366628044, + -1, + 585662387, + -1, + 531361700, + 505863184, + 481621804, + 206450999, + 115250348, + -1, + 436888704, + -1, + -1, + -1, + 212110524, + 846589904, + 938115184, + 569337548, + -1, + 703053920, + 351986888, + 689838804, + 649501276, + 591621346, + 753616211, + 315183153, + -1, + -1, + -1, + 478777074, + -1, + 259916875, + 748880985, + 456549932, + 85520354, + 802233623, + 775387692, + 587682662, + 273574156, + 305122847, + 485880715, + 187081104, + 391484132, + 209920163, + 762571487, + -1, + 826446712, + -1, + -1, + 150906691, + 345031366, + 349983838, + -1, + -1, + -1, + 806303124, + 412779461, + 992929753, + 274876635, + 356186804, + 393314112, + -1, + 198949152, + 392559281, + 414697804, + 628735584, + 709741566, + 677388682, + -1, + 282001476, + 664838401, + 898047700, + 385195712, + -1, + 58643344, + 134858867, + 33183758, + -1, + 691108274, + 180960611, + 102156412, + 886177379, + 310828894, + 980819614, + 647993499, + 105984352, + 241228796, + 520303093, + 617413389, + -1, + 72648857, + -1, + -1, + 806449272, + 956982782, + 65962908, + 423748326, + -1, + -1, + 456401754, + 602926574, + 625990664, + 403772123, + -1, + 923502489, + 960827625, + 862731557, + 718473052, + -1, + -1, + -1, + 703399728, + 993361433, + -1, + 505159495, + -1, + 231980216, + -1, + -1, + 804745895, + 234171263, + -1, + -1, + 602636044, + -1, + -1, + 457912874, + 771318558, + 595227732, + 288310466, + 454055736, + 981164010, + 663270714, + -1, + 664206478, + 133122739, + -1, + 517929309, + 786961012, + 993058333, + 744275196, + -1, + -1, + 573019043, + -1, + -1, + 545533580, + -1, + 616699039, + -1, + 261165345, + 557571260, + 141582206, + 929190377, + 230805899, + 424702987, + -1, + -1, + 959594872, + -1, + 670263640, + 267423941, + 534935083, + 681172931, + 470918299, + 238972494, + -1, + -1, + 111185732, + -1, + 651693186, + 595992475, + 226083226, + -1, + 194956034, + -1, + -1, + 911281247, + 430520054, + 632688891, + 347299569, + -1, + 773272867, + -1, + 786328388, + -1, + -1, + -1, + 471044575, + -1, + -1, + 339265598, + 334770129, + -1, + 569264171, + 373820997, + 322034509, + -1, + 372373370, + 650193801, + 670795762, + -1, + 484973588, + 137262916, + 890161349, + 154977465, + 746936258, + 557537299, + 762670888, + 230786405, + 838685840, + 765860493, + -1, + 740730635, + -1, + -1, + -1, + 580832517, + 31586209, + -1, + 898954651, + 549347013, + 174597088, + 616569011, + 897807870, + 998829963, + 244394553, + 504425604, + 783702496, + 817475188, + 397258005, + 473580266, + 531733348, + -1, + -1, + 969602112, + 927548239, + -1, + -1, + 914412229, + 158541597, + 982259395, + -1, + 380664357, + 157443822, + 560654064, + 875352494, + 483904799, + 218298729, + 469497296, + -1, + -1, + 860583612, + -1, + 799863065, + -1, + 220279869, + 622945149, + 455462440, + 955511951, + 727968345, + 437806814, + 624657149, + 77812234, + 630724649, + 230261958, + 500873133, + -1, + -1, + -1, + 155597415, + 303207672, + -1, + 267722395, + 972340931, + 606051711, + -1, + 615785907, + 136015891, + 647539705, + 53658899, + 283298044, + -1, + -1, + 183679616, + 25877082, + 797608170, + 236755196, + 811172338, + -1, + -1, + 162604703, + 96845826, + -1, + -1, + -1, + 425794099, + -1, + 685617786, + 462715710, + -1, + -1, + 862047750, + 125524621, + 874516851, + -1, + -1, + -1, + 291100348, + -1, + -1, + -1, + 275563217, + -1, + 920019049, + 552879594, + 372593242, + 181637535, + 314255025, + 491901007, + 295983810, + 152239820, + -1, + 153001585, + -1, + 322718021, + -1, + 412312445, + 949053109, + 821224416, + 333324543, + 97584703, + -1, + 6158213, + 488618310, + 611085438, + 31689429, + 911923189, + 375468841, + -1, + -1, + 40198259, + -1, + 615294660, + 340326631, + 702978156, + 706904025, + 175894798, + -1, + -1, + -1, + 962132235, + 537579272, + 256055420, + -1, + -1, + 71232056, + -1, + 919465300, + 762207875, + 426781026, + -1, + 435274903, + 90195505, + 744935280, + 306349218, + 821966818, + 71391090, + 18339690, + -1, + 134537057, + 512746023, + -1, + 665243199, + 494897312, + 908331673, + 101632888, + -1, + -1, + -1, + 222827134, + 562236838, + -1, + -1, + 476441147, + -1, + -1, + 744864417, + -1, + 570174522, + -1, + 736459012, + 471094476, + 807481342, + 901456408, + 59288257, + 282312546, + -1, + 526987947, + 288341503, + 103535514, + 216982106, + 916907027, + 778376773, + 541943179, + 622560572, + -1, + 300970810, + 434379353, + 301444677, + 746906844, + 551245274, + -1, + 542021934, + 738096778, + 389721327, + 395726579, + -1, + 682525196, + -1, + -1, + 991800901, + 975581866, + 282336297, + 321488744, + 27216207, + 550493857, + -1, + 138879614, + -1, + -1, + 468823334, + 556489365, + -1, + 565993585, + 137807384, + -1, + 195592090, + 630457366, + -1, + 155604470, + 17823737, + 6138623, + -1, + 548529879, + -1, + 335024783, + 755602011, + 938843104, + 39494643, + 915205466, + 621700319, + 105744801, + 262198281, + 954331348, + 726500409, + 443366427, + 948662291, + 274769302, + 55810662, + -1, + -1, + 976647217, + 539502966, + 470997613, + -1, + 246496710, + 601394070, + -1, + -1, + 13359679, + 662848622, + -1, + 716847339, + 915334418, + 444593181, + 653634527, + 89998122, + 717764437, + 810266640, + -1, + 753145240, + 618415985, + -1, + 644561651, + -1, + 5217143, + -1, + -1, + 757383304, + 977236863, + 618221051, + 992010392, + 469622832, + 313591673, + -1, + 114132050, + -1, + 852416151, + -1, + -1, + -1, + 932157172, + 886533423, + -1, + 410361776, + -1, + 845838843, + -1, + -1, + 433886075, + -1, + 738247031, + 264347686, + 21131057, + 619301739, + -1, + 555154834, + 630321587, + 875759562, + 622709764, + 411397641, + -1, + 559496854, + -1, + 371644634, + 59200418, + 14770740, + 998434781, + 539908126, + 572640994, + -1, + 275492379, + -1, + 477256752, + 705861994, + -1, + 255981638, + 40640894, + -1, + 314223348, + 173390366, + 812487517, + 485960524, + 746883136, + -1, + 732263059, + -1, + -1, + -1, + 132716111, + -1, + 849952532, + 235331848, + 874038130, + 652546116, + 378670199, + 691467131, + 213852436, + -1, + 348225707, + 584312253, + 156185514, + 3035181, + 211455960, + -1, + 691668420, + -1, + 119254501, + -1, + 106945445, + 33770798, + -1, + 375864194, + 56343749, + 706425149, + 503398872, + 76778609, + 115918585, + 620925572, + 64226468, + -1, + 306313301, + -1, + 984431718, + -1, + 39950962, + 51962011, + 905735375, + -1, + -1, + -1, + 701822763, + 665424502, + -1, + 957958691, + 634797893, + -1, + 752769527, + 150541003, + 170497315, + -1, + 142069105, + -1, + 270590702, + 202232283, + 845317612, + 879417488, + 353137329, + 984587658, + 520657756, + 442924166, + 236445129, + 961850355, + 597953707, + 260056872, + 862247635, + 242288265, + 318763320, + 58914867, + 30418721, + 77238022, + 573527600, + 806090848, + 920812215, + -1, + 676927065, + 141024451, + 712533192, + 976701031, + 679121504, + 489069663, + 778757060, + 333711291, + 802824389, + 719920188, + 260150744, + 977973766, + 129428737, + 930876347, + 578920920, + 58778564, + 447771479, + 257840591, + -1, + -1, + -1, + 626775396, + 976997703, + 689846826, + -1, + -1, + 691667162, + 935946242, + 168669410, + 753027879, + -1, + -1, + 721181635, + 208443249, + 111360132, + 982252136, + -1, + -1, + -1, + -1, + 390638204, + 347143081, + 649736850, + 582699441, + 273313710, + 702986605, + 68537237, + -1, + 268224422, + -1, + -1, + 580621673, + 573580741, + 287168611, + 79205757, + 673970473, + 239920401, + 767740640, + 554428289, + 935920415, + -1, + -1, + 555333814, + -1, + 775599838, + 675565500, + -1, + 404957415, + -1, + 193369200, + 248709466, + 860875780, + 537766188, + -1, + -1, + 157983641, + -1, + 859881043, + 706240698, + 553093906, + 714495395, + 553345229, + 644241801, + 336117498, + 424757061, + 718284457, + 452391055, + -1, + 798581939, + 293213770, + 603681848, + -1, + -1, + 996797493, + 358534943, + -1, + 515061831, + 150994741, + 54570646, + -1, + 865385145, + 635319038, + 330776455, + 94554454, + 240382516, + -1, + 449472166, + -1, + 888370695, + 278349600, + 511498750, + 270713530, + 361852217, + 111318860, + 857522318, + -1, + 368633482, + 408239731, + 477294805, + 790269434, + 617682617, + 737255621, + -1, + 238486756, + 899951027, + 670270304, + -1, + 75028510, + 404484859, + 109527554, + -1, + -1, + 143084882, + -1, + 521388746, + 123081927, + 947357933, + 439520822, + 355546951, + -1, + -1, + 969456981, + -1, + 100668594, + -1, + 14719262, + 528356020, + 585593324, + 25785693, + 127568363, + 852411754, + 158053843, + -1, + 7014967, + 967894912, + 582220461, + 58127035, + 13574615, + -1, + 868420469, + 408973993, + 169438036, + -1, + 12351908, + 296589420, + -1, + 750627887, + -1, + 3585186, + -1, + -1, + -1, + 527507121, + 729075436, + 798767680, + 229160066, + 74702906, + -1, + 197050027, + -1, + 616953781, + 705737584, + 76694045, + 485976131, + -1, + 313666042, + 148077079, + 936888512, + -1, + 789448207, + 561840470, + 531963529, + 808111834, + -1, + -1, + -1, + 657169378, + 702981758, + 105210743, + 365679784, + 502508096, + 484368675, + -1, + 526538095, + 884884556, + 150987327, + 338571330, + 87751215, + 575044575, + -1, + 848366887, + 289740480, + 109474871, + -1, + 545976760, + -1, + 538002316, + -1, + 776048555, + 76633991, + -1, + 372719823, + -1, + 231562832, + 710517317, + 111778314, + 550270981, + -1, + 18110145, + 696591312, + -1, + 938642584, + 254125635, + -1, + 475184343, + 808528776, + 458571141, + 41976773, + 56822671, + -1, + 924229380, + 352476000, + -1, + -1, + 831865422, + 276893257, + 149134608, + -1, + 744504900, + 414865220, + 524909662, + 315037438, + 99036249, + 530362446, + -1, + 505659161, + -1, + 280964361, + -1, + -1, + 242335554, + 390494693, + -1, + 560192790, + 894493293, + -1, + -1, + 14473629, + -1, + -1, + 160824024, + -1, + 451282482, + 344032599, + 133503659, + 503407245, + -1, + -1, + -1, + 291774735, + 152330740, + 195054471, + -1, + -1, + -1, + -1, + 492529027, + -1, + -1, + 549518475, + -1, + 85306231, + 96658325, + 206857832, + 426206570, + 349824601, + 771211202, + 59221258, + 989627567, + 803396465, + -1, + -1, + 339432362, + 980918937, + 231611848, + 945014238, + -1, + 108076120, + 633410275, + 735683934, + 706238024, + 208107917, + -1, + 824488338, + 730923175, + 971917261, + -1, + -1, + 481269120, + 729627236, + 376800751, + 627688109, + 679857440, + 871248990, + -1, + 218131007, + -1, + 126512840, + -1, + -1, + 164505598, + 626587407, + 595373175, + -1, + 800657622, + -1, + -1, + 417389460, + 881041817, + 273871176, + 606829107, + 730692967, + 709761026, + -1, + -1, + -1, + 757331887, + 421093028, + 587781455, + -1, + 603574441, + 697494499, + 71666877, + 164681193, + 332587054, + -1, + 7634144, + 610554816, + 694144961, + 423650659, + 509517629, + 56883275, + 436999868, + -1, + 407741674, + 700410851, + 461905026, + 59234285, + 727815039, + 935882974, + 10746724, + -1, + 702602199, + 642194380, + 330713384, + 760266561, + -1, + 48031705, + 125577123, + 370390330, + 835514409, + 352491978, + 618455078, + 476723134, + 266480373, + 568632801, + 851194624, + 585910787, + -1, + 147187914, + 372203701, + -1, + 948919906, + 566949334, + -1, + 568495947, + 434717185, + 318612907, + 207585408, + -1, + 49833543, + 867100647, + -1, + 2074753, + 227032215, + 193920651, + 951020543, + -1, + -1, + 335728828, + 74872666, + 258155674, + -1, + -1, + 397128000, + 97524688, + 332305839, + 786061449, + 810069943, + 379074028, + 762825503, + 314863483, + 856050075, + 828218891, + 758956654, + 803823005, + -1, + 641140902, + 519549667, + 391057551, + 543387851, + 104779392, + 133828855, + 970651045, + 383312305, + 240234059, + -1, + -1, + -1, + -1, + 186652179, + 305824981, + -1, + 715330676, + 447545992, + 214873558, + 929921664, + 977002033, + -1, + -1, + -1, + 375103326, + -1, + -1, + 854763256, + 487848374, + -1, + 610057231, + -1, + 639673390, + 225527368, + -1, + 125010568, + 515865911, + -1, + 781089358, + 63257052, + -1, + 889740900, + 660639040, + 558571222, + 509076993, + 990792626, + 768467321, + 450871805, + 698661636, + 717272878, + 673184643, + 68855286, + 762255513, + 29906646, + 970062786, + 228920438, + 127981714, + -1, + 513367258, + 798363953, + -1, + -1, + 383816727, + 36392707, + -1, + 854219415, + -1, + -1, + 819736554, + 144574394, + 262326326, + 762049396, + -1, + 823961766, + -1, + 392975770, + 955427650, + 188426322, + -1, + 330245438, + -1, + 642336328, + 102437090, + 976651534, + -1, + 264620538, + -1, + -1, + 583547060, + -1, + -1, + 431204554, + 348371404, + 177207351, + 448870641, + 383094470, + -1, + -1, + -1, + 464045589, + -1, + 69032044, + -1, + -1, + 683570686, + -1, + -1, + 34811082, + -1, + 95210946, + -1, + 327883322, + 435295999, + -1, + 990305097, + -1, + 17520159, + 90850432, + -1, + 602775922, + 415680469, + 518476744, + 44649241, + -1, + 83911392, + 11068685, + 231350094, + -1, + -1, + 748369518, + 242388825, + -1, + 941783818, + 538024547, + -1, + -1, + -1, + 820963336, + -1, + -1, + 444788424, + -1, + -1, + -1, + -1, + -1, + 310902844, + 763702153, + -1, + -1, + 328006633, + -1, + -1, + -1, + 482301277, + 264253898, + 22519245, + -1, + 802579768, + -1, + 40083841, + 330243738, + 828682793, + 68991807, + 187160908, + 974182230, + 693074457, + 709484130, + 442473248, + -1, + 48836908, + -1, + 900349403, + 882736305, + 512636490, + 960147919, + 814874183, + 926684789, + 854328312, + -1, + 740266000, + 484352732, + 983665563, + 369388555, + 514125157, + 1818001, + -1, + 205354219, + 517798253, + 510812978, + 442183622, + 708204674, + 939959317, + 522273959, + 937658858, + -1, + 752256424, + -1, + 778068105, + 478325262, + 823848687, + 399690296, + 252484448, + 215848588, + 169050823, + 937470796, + 96646090, + 656673638, + -1, + 591303016, + 574352266, + -1, + 31442788, + -1, + 464568506, + -1, + -1, + 374192724, + -1, + 31681908, + -1, + 99236312, + -1, + 521473501, + 391285446, + 206099244, + 496962433, + 635806740, + -1, + 418172477, + 525857530, + 87605242, + 887037545, + 184594259, + 292939429, + -1, + -1, + 242543375, + -1, + 188813344, + -1, + -1, + 872668347, + -1, + 425562879, + -1, + 818784348, + 442986177, + -1, + 104896521, + 258797054, + -1, + 567858412, + 963295623, + 487422834, + 666812317, + -1, + -1, + 760920936, + -1, + -1, + 569218474, + -1, + 913647901, + 129270351, + 969499088, + -1, + 860512885, + 543136377, + -1, + -1, + 774282907, + 960894187, + -1, + 957248217, + 511208760, + -1, + 202151492, + 514618657, + 627325584, + 385672743, + 951035274, + -1, + 361916299, + 52202892, + 440125168, + 218935901, + 489229276, + 608377762, + -1, + -1, + 576853448, + 535904383, + 884623924, + 784043725, + 135459036, + -1, + 518741333, + 18836176, + 101393974, + 843704991, + -1, + 609476081, + 126416815, + 109963378, + -1, + 251721006, + 408894093, + 991593465, + -1, + 627456802, + -1, + 338241206, + 432406482, + 517249116, + 377696558, + -1, + 955460048, + 203505004, + 286275571, + 669929710, + -1, + 148216796, + -1, + 9731582, + -1, + 810808162, + 299886493, + -1, + 460721171, + 428942570, + 336152037, + -1, + 53298469, + 852426551, + -1, + 443795382, + -1, + 916145732, + -1, + 509189206, + 437885805, + -1, + -1, + 90274985, + -1, + 788981194, + -1, + 471316029, + 841438036, + 479615445, + 107784094, + 168607760, + 203462691, + 793369471, + 823989150, + 652808538, + 542102011, + 944697382, + 703367079, + -1, + 781894771, + 179313560, + 35092704, + 567934448, + -1, + 867140071, + 174574180, + -1, + -1, + 718023536, + 908984434, + -1, + 707540117, + 580995467, + 961627475, + 637866580, + 433772691, + 554009073, + 333355766, + -1, + -1, + 252035588, + 143694550, + 146406693, + 421796959, + 229142127, + -1, + 22132851, + 414618612, + -1, + 617335124, + 100090063, + -1, + 704226450, + -1, + -1, + 923016773, + 670291730, + -1, + 706934577, + 493085267, + 828447465, + 333294268, + -1, + 545369954, + 864650891, + 52235826, + 554375761, + -1, + 876432978, + 732921202, + 690236699, + 963088197, + -1, + 152229877, + 834170596, + 990069043, + -1, + -1, + 851303778, + 653934444, + -1, + 728051889, + 229806057, + 218572321, + 346930838, + 219782280, + 511056109, + -1, + -1, + -1, + 983473196, + 967783691, + 421847479, + -1, + 873679382, + -1, + -1, + 320865402, + 766022807, + 94863796, + 574677297, + -1, + -1, + 131564715, + -1, + 624999, + 993963260, + -1, + 136414530, + -1, + 414480958, + 937954272, + 201440323, + 327461463, + -1, + 340102914, + 725579968, + 400953177, + 818118495, + 807760406, + 175884081, + -1, + 150764364, + 522526799, + 69353399, + 605537811, + 405888846, + 210530858, + 989803959, + -1, + 477820378, + 938779517, + 836856467, + 960909447, + 470615030, + -1, + -1, + 795200741, + -1, + 884861809, + 583361773, + 653374827, + -1, + 847307451, + 214230625, + 943877008, + -1, + 699473884, + 477870879, + 361774745, + 989309188, + 122005197, + 514007746, + 699531416, + 87694323, + -1, + 752019033, + 772356685, + 569595496, + -1, + -1, + 1204072, + 491136853, + -1, + -1, + 992889188, + 580238704, + -1, + -1, + -1, + 575719395, + 637679511, + 340324274, + 911072992, + 72563390, + 830762141, + -1, + 756530285, + -1, + -1, + 714885869, + -1, + 210059535, + 712532561, + 559015157, + 211380324, + 524570888, + 85324359, + 381447743, + 922430759, + -1, + 989185649, + -1, + 962204813, + 301344136, + 32854693, + 333743041, + 5683383, + 235153736, + 16514782, + 622987473, + 56073663, + 646624788, + 944900721, + 648613437, + 513577513, + 100247584, + 256369634, + 797058650, + -1, + -1, + 146462367, + 387425580, + 144119122, + 132097809, + 414049089, + 244830272, + -1, + 899626350, + -1, + 610127174, + -1, + -1, + 840775839, + -1, + -1, + -1, + 573101682, + 477575132, + 909089752, + -1, + 809629423, + -1, + -1, + 445413517, + 572174755, + -1, + -1, + 967461540, + 471340121, + -1, + -1, + 417036402, + -1, + 643469299, + 617194921, + -1, + 398615358, + 898307674, + 562642889, + -1, + 346483385, + -1, + 14532201, + -1, + 252475897, + -1, + -1, + -1, + 395498581, + 789599053, + 760988177, + 292374920, + -1, + 676476382, + -1, + -1, + 238956019, + 155254583, + 335454783, + -1, + 258516101, + 318969451, + 35695804, + -1, + 857871986, + 294922306, + 638184218, + 533444092, + 220859312, + 715082234, + 996857045, + -1, + -1, + -1, + 714080338, + 357220187, + -1, + 159676883, + -1, + -1, + 102840381, + 527719163, + 436709982, + -1, + 366173182, + -1, + 702862296, + 414365053, + -1, + 476035535, + 621204286, + 782778283, + -1, + 647305111, + 562224724, + 313414556, + 145709653, + 540906013, + 930395039, + -1, + 152931940, + 777102462, + 243662468, + 75401279, + 826151118, + -1, + 672383187, + 594138330, + 362973839, + -1, + -1, + 188318369, + 632725771, + 666204083, + 22086998, + 354259880, + 575594601, + 532925530, + 253470359, + -1, + -1, + -1, + 78938174, + -1, + 49515038, + 540648085, + 733045601, + 156607957, + 793483965, + -1, + -1, + 782205415, + 280908626, + 969558548, + 309437091, + 528599420, + 805330836, + -1, + 516289367, + 527485462, + -1, + 504003650, + 700279786, + 974725973, + 596893788, + 164177119, + 443506613, + 221859650, + -1, + 434334082, + -1, + 307544394, + 676088516, + -1, + 220972457, + 40147261, + 719590054, + 580237011, + 23383423, + 446342163, + 912545693, + 210358714, + 680488791, + 783363911, + -1, + 634145541, + 290240813, + 262193404, + 775387499, + 81782227, + 755570087, + 989875302, + 595555125, + -1, + 422078591, + 30297021, + -1, + -1, + 236121381, + 714795163, + 542820084, + -1, + -1, + 136480330, + 624094324, + -1, + 466910665, + -1, + -1, + 484656070, + 760837769, + 999713532, + -1, + -1, + -1, + -1, + 326935788, + 722063985, + 731677395, + 885785433, + 212973387, + -1, + 540327536, + 449260065, + -1, + -1, + -1, + -1, + -1, + 789117188, + 608787757, + -1, + 880369945, + -1, + 961843206, + 473029634, + 398552721, + -1, + 239482481, + 490497337, + 172615983, + 856051768, + 942170765, + 849090575, + -1, + 202547931, + -1, + 880009157, + 655519947, + -1, + 132148963, + 133124991, + 498565956, + 75055234, + 156547111, + 314273222, + 222174819, + 561055829, + 927279024, + 975039522, + 433155168, + 875510356, + 638354338, + -1, + -1, + 754680672, + 95791942, + -1, + 526902662, + 124412927, + 236938121, + 947066097, + 508195303, + -1, + 579908594, + 69910152, + 375061754, + 470692030, + 548061509, + -1, + 609103800, + -1, + 357312334, + -1, + -1, + -1, + 832765906, + 82261186, + 511537401, + 509816478, + -1, + 413031788, + 616444420, + 213775437, + 713481824, + 186074810, + 728425974, + 757898739, + 104624609, + 975062478, + -1, + 761783711, + 829508902, + 721939599, + 566566768, + 38086838, + 184245419, + 269071341, + -1, + -1, + 902012247, + -1, + 275467783, + 863177973, + 451575888, + 97658803, + 301357299, + -1, + 548064371, + 793570648, + 831515454, + -1, + 432998737, + -1, + 945201471, + 291344071, + 20662745, + 855615925, + 172579667, + 796860374, + 48568770, + -1, + -1, + 201235872, + -1, + 388760815, + 962960760, + 124486070, + 951521769, + 714819599, + 144308239, + 662128626, + 66884717, + 320545617, + 421547089, + 216737123, + 546156022, + 465083985, + 963696895, + -1, + 631010763, + 912596446, + 13650428, + 344412357, + 38160045, + -1, + -1, + -1, + -1, + 752576739, + 158881258, + -1, + -1, + 429709642, + 333282389, + 570998893, + 111085489, + 349092403, + -1, + -1, + 358963152, + 399992237, + 222143247, + 851525913, + 508452041, + 778674864, + 804388764, + 466182960, + 200095015, + -1, + 501746974, + 364044578, + 100820797, + -1, + 876096184, + -1, + -1, + -1, + -1, + -1, + 796562955, + 431907696, + 86228533, + 478318904, + -1, + 620601805, + 315607704, + -1, + 19750276, + 503700534, + 618679156, + -1, + 210678055, + -1, + 314862612, + 483777064, + -1, + 661490542, + -1, + 639727756, + 961330220, + -1, + 855416597, + 210523026, + -1, + -1, + -1, + -1, + 891207234, + 299455636, + -1, + 329269751, + 33525804, + 500900151, + -1, + 149372592, + 896118424, + 406226900, + 746965067, + 57643764, + -1, + 436065601, + 57049072, + 958641794, + 473137520, + 849509742, + -1, + 721090630, + 879534992, + -1, + 529545801, + 480987780, + -1, + 694405589, + 101693535, + 986614299, + -1, + 282777096, + 790124918, + 764090928, + 117166892, + 303950456, + 595119028, + 956056396, + 830346496, + 9636845, + 139139859, + -1, + 298363219, + 310231505, + -1, + 151289282, + 909003148, + 667237883, + 725220631, + 36781638, + 487168372, + 449111914, + -1, + 903306425, + 848050300, + -1, + 923118125, + 765269581, + 810558494, + 238452899, + 331783063, + -1, + -1, + 577026949, + -1, + -1, + 870224413, + 914033941, + 915368157, + 683352467, + 237849682, + -1, + -1, + 899471169, + 154595748, + -1, + 111045587, + -1, + 914105167, + -1, + 311644723, + -1, + -1, + 501186012, + -1, + 163173665, + -1, + 359949183, + 230993877, + 235090083, + -1, + 86853401, + 252059475, + -1, + -1, + 923849696, + -1, + 221623633, + 980276033, + 960618040, + 142943501, + 947162952, + -1, + 242048452, + 156920698, + 263436700, + -1, + -1, + -1, + -1, + 87649841, + 948051858, + 497135776, + 221191378, + 326828086, + 359112613, + 739551769, + 710574334, + -1, + 630233633, + 941919042, + 156311069, + -1, + 833274238, + -1, + 348467422, + 777166004, + -1, + -1, + -1, + -1, + -1, + 841900649, + 858691056, + 55898034, + 138128406, + 576023749, + 513798090, + 164257851, + -1, + 280692153, + 732092536, + -1, + -1, + 548050109, + 436643661, + 436043444, + 742262487, + 788572288, + -1, + 330998864, + 958942856, + -1, + 379252368, + 927718665, + 931590772, + -1, + 388158875, + -1, + 804895503, + 259503143, + -1, + 655315620, + -1, + 46168514, + 191322345, + -1, + 564498289, + 711810612, + -1, + 486777969, + 679425490, + -1, + -1, + -1, + 479682094, + 60988522, + 265124598, + 217012704, + 363560302, + -1, + 373526081, + 615206890, + 410322813, + 866954466, + -1, + -1, + -1, + -1, + 909423359, + 103216021, + -1, + -1, + 571009274, + -1, + -1, + 781649894, + 55836530, + 474274987, + -1, + 858794217, + 852329023, + -1, + 825141301, + -1, + 865572654, + -1, + 321491111, + 732281268, + 85077193, + 600441976, + 723826507, + 330205101, + 419999454, + 148021654, + 480247335, + -1, + 975361214, + 791086717, + 703266825, + 699260708, + -1, + 307535453, + 35968701, + 343657582, + -1, + 617860496, + 174625851, + 515971473, + 567496641, + 422588279, + 22437751, + 41161261, + -1, + 100996276, + 358192551, + -1, + 190798571, + 777745014, + 734573551, + 393798303, + -1, + 89462958, + 348645526, + 152622319, + -1, + 452047737, + -1, + 151602681, + 482537484, + 503043092, + 468037229, + 499695464, + 308778692, + 931158889, + 848536183, + -1, + 230782584, + 476801988, + 279002607, + -1, + 997094473, + -1, + -1, + 939517288, + -1, + 679558665, + 515398063, + -1, + -1, + 966159045, + 29763025, + 971859570, + 287943582, + 397695196, + 22173664, + 684952872, + 701180685, + 665427523, + -1, + 590789128, + -1, + -1, + -1, + 448023789, + -1, + 975935449, + -1, + 205590188, + 611382273, + 715688117, + 496377580, + -1, + 550351094, + -1, + 60731397, + -1, + 218266928, + -1, + 196957934, + 463829049, + -1, + 582873802, + 313751635, + 955297867, + 902397983, + 252818457, + -1, + 440604786, + -1, + 776367663, + 385355548, + -1, + 268930489, + 959638383, + 2402597, + -1, + 415571377, + -1, + 293029571, + 990608529, + 223602581, + 797910679, + 57167434, + 269438438, + 165203742, + 304324859, + 404797447, + -1, + 53200443, + -1, + -1, + 169115737, + 34078351, + 660833183, + 653702635, + 455684817, + 733925586, + 548329159, + -1, + 175799731, + 11594892, + 875686711, + 315491534, + 317505831, + 815931344, + 647727648, + 642983188, + -1, + 841565019, + 168209835, + 576436972, + 821971303, + 114952911, + 132333260, + 456873377, + 234942664, + 212281575, + 927546940, + 513644395, + 357405684, + 207773150, + 12787977, + -1, + 159599272, + 155026659, + 465760028, + -1, + -1, + 397015453, + 20734690, + 135148806, + -1, + 368515142, + -1, + 488700114, + -1, + 557099405, + -1, + 573933339, + 12903914, + -1, + 237500343, + 396218618, + 616152907, + 958630540, + -1, + -1, + 677899645, + -1, + 384287284, + 436215411, + -1, + -1, + -1, + 420960458, + 536892880, + 833890577, + -1, + 33571813, + -1, + -1, + 976719172, + -1, + 992493825, + -1, + 578175355, + 679407799, + 536369276, + 416346689, + 747765829, + -1, + -1, + -1, + -1, + 346401006, + -1, + -1, + -1, + 91010329, + 161759431, + -1, + 724424166, + 895002786, + -1, + 764207733, + 616677282, + -1, + 732025744, + 80100077, + 996722032, + 348026445, + 382647431, + 165531094, + 19870663, + 738682333, + 151871930, + -1, + 967857391, + 677885723, + 606770832, + 727386318, + 665311893, + 317010991, + -1, + -1, + 490406902, + 652916971, + 636232667, + 904384717, + 383822281, + 547133022, + 611842063, + 447349400, + -1, + -1, + 930013350, + -1, + 176388931, + 79918008, + 435177812, + 140848696, + 566579088, + 726750, + -1, + -1, + 394807724, + -1, + 470863193, + -1, + 347174414, + 573490412, + 431673092, + 62889559, + 279372555, + -1, + 71330879, + 549950628, + 196931264, + -1, + -1, + 757065241, + -1, + -1, + 376154857, + 691627504, + 756226024, + 102978789, + 550955624, + -1, + 689307037, + 11132756, + 84014559, + -1, + -1, + 353640637, + -1, + 964602996, + 604665359, + 360628969, + 680081391, + -1, + 909794247, + 478923976, + 807992086, + 262623540, + 640076445, + -1, + 319030598, + 105061422, + 130855241, + 868749574, + 376123489, + 256730194, + 726730461, + 509500195, + 972695974, + 74332620, + 541050659, + 476327757, + 379010459, + 989263440, + 164766567, + -1, + 313122437, + -1, + 883617098, + 909725026, + 693132226, + 190496941, + 116422785, + 181664225, + -1, + -1, + 692532555, + -1, + 926330692, + 72518042, + 538553886, + 752506818, + 210160952, + 11715276, + 948030148, + 433313667, + -1, + 177896321, + 47363031, + 732656753, + 736817142, + -1, + 441708365, + 11326203, + -1, + 829727709, + -1, + 105998380, + 36198900, + -1, + 720027817, + 491276427, + 431883727, + 614160083, + 482272307, + 179498011, + 168055348, + 217224791, + 581616272, + 814817859, + 973428212, + 107148739, + 49654168, + 93529094, + 656620727, + 581705281, + 953680017, + 92662603, + -1, + -1, + 314768248, + 964063142, + -1, + 828968510, + 927239912, + 998041950, + 293676590, + 342855239, + 959664470, + 907478171, + 813531963, + -1, + 410920479, + 715924178, + -1, + 382106272, + 614349809, + -1, + 498482666, + 916231279, + 752557505, + 555358107, + 460789216, + 803311366, + 393135785, + 351897605, + 933075316, + 585564070, + 361587846, + 544962482, + 293151654, + -1, + 459546958, + 314967988, + 453552690, + 811866909, + 66984703, + 780632541, + 571419124, + 24805109, + 60559674, + -1, + 17644805, + 438762782, + -1, + -1, + 921831529, + -1, + -1, + 117614250, + 815311599, + 703974311, + 730227459, + 366503205, + 166269973, + -1, + 774515772, + -1, + 873367188, + 305741488, + 344650009, + 708780991, + 365087175, + -1, + -1, + 247328049, + 943361149, + 357236026, + 333111944, + 96311428, + -1, + -1, + 315509674, + 505796460, + 850396517, + 741551044, + 126606258, + -1, + 532212372, + 544234496, + 555988501, + 469381391, + 829358935, + 104001760, + 135054481, + 49024593, + 803522591, + 948048308, + 809780268, + 852502698, + 414319482, + -1, + 406971330, + 323926842, + -1, + -1, + -1, + 345895292, + 43798026, + 199511218, + -1, + 470315164, + 724628182, + 284124216, + 217907411, + 761392136, + -1, + 154715505, + 95954370, + 318678355, + 930981833, + -1, + -1, + 798797248, + 472545544, + -1, + 63343184, + -1, + 261223270, + 831782003, + -1, + 283471508, + -1, + 973047236, + 203984703, + 959738182, + 235713683, + 840146140, + 346013293, + 664814409, + -1, + 214450055, + 728929459, + 181289027, + -1, + -1, + 543263155, + 826074948, + 45311795, + -1, + -1, + 975376979, + 900016996, + 244389267, + -1, + 301419260, + 488546157, + 668452403, + -1, + -1, + 761028802, + 336903746, + 196522139, + 836899825, + -1, + 383058778, + 424522686, + 851880600, + 283877390, + 998199246, + 389474430, + 427777180, + 35078829, + -1, + 379809365, + 694289681, + -1, + 637656636, + 173183154, + 39106706, + 915022047, + 785964213, + -1, + 149379543, + 937281779, + 907561214, + 819013986, + 115793185, + 714375476, + 638661558, + 549272395, + 923046012, + -1, + 611769127, + -1, + 793379088, + 494127803, + 249826494, + 983635089, + -1, + 981357533, + 793895049, + 31547602, + 754205415, + 111770460, + -1, + 68437038, + -1, + 719627285, + -1, + -1, + 258657080, + -1, + 42217851, + 61113437, + 459712165, + 753806710, + 236635607, + 869847048, + 35485490, + -1, + 343083153, + -1, + 32568538, + 117173614, + 576997475, + 565703399, + 663434712, + 918167300, + -1, + 725872709, + 316347222, + -1, + -1, + -1, + 249498249, + 15987357, + 199334142, + 636140180, + -1, + 158788428, + 938602779, + 392929902, + -1, + 767623927, + -1, + 718627848, + -1, + 327113188, + 799646578, + 966063931, + 917772916, + 358708260, + 81454290, + 994023158, + 471411778, + -1, + -1, + 336485567, + -1, + 258833118, + -1, + 517063434, + 183109261, + -1, + 965051877, + 987468884, + 365928574, + 790454425, + -1, + 895870628, + 270395280, + 641450533, + 706927328, + -1, + 180559900, + -1, + 579178732, + 715843851, + 789478242, + 833176347, + -1, + 539397206, + 399122231, + -1, + 740447865, + 275834596, + -1, + 573766499, + 177219991, + -1, + 648065887, + 84751113, + 504051473, + -1, + 982654122, + 814641973, + 658418026, + -1, + -1, + -1, + -1, + -1, + 691640425, + 572072805, + -1, + 516111604, + 771052976, + 489469242, + 285468488, + 805569981, + 469417703, + 214983802, + 65125434, + 539238818, + 528179553, + 730232054, + 297826904, + 11403463, + 924241522, + 294587492, + -1, + 183185126, + -1, + -1, + 563749251, + 549732518, + 331746246, + 795564020, + 463510702, + 417207276, + 123021049, + 518421448, + -1, + 170910104, + 836662477, + -1, + 642263798, + 823281579, + -1, + -1, + 130586395, + 402460130, + -1, + 610136396, + 129779750, + 184072906, + -1, + 955609035, + 287882966, + -1, + -1, + -1, + 436375558, + -1, + 369967484, + 905747184, + 101701414, + 775724766, + 674456643, + 303355984, + 909485600, + 17945742, + -1, + 180008598, + 373114698, + 614258979, + 23611627, + 136863489, + 204105867, + 13752607, + 420255548, + 375142625, + -1, + 995046286, + 142567558, + 87527327, + 955276185, + 62296199, + 665154127, + 717941214, + 160713875, + 34982518, + 673315803, + 530714115, + 80580964, + 109722800, + 259944457, + 74410586, + 892577358, + 45074023, + 674922011, + 305471701, + -1, + 35393698, + 526752000, + 993428875, + 19350063, + -1, + -1, + 266392230, + 960258404, + -1, + 946370392, + 689620560, + 884619724, + -1, + -1, + -1, + 809080529, + 488805189, + 312418008, + -1, + -1, + 653144856, + -1, + 652517992, + 344180789, + 621604594, + 745461109, + 513715035, + -1, + -1, + 783494548, + -1, + 319044730, + -1, + 949421992, + 77808725, + 112694496, + 652432539, + 131146416, + 101776576, + 222223743, + -1, + 893024941, + 167400175, + 557068719, + 845937955, + -1, + -1, + 965260186, + -1, + 681871872, + 622593700, + -1, + 415149637, + 839064823, + 470562451, + 231830820, + 708571883, + -1, + 885566215, + -1, + 588778674, + 412731316, + -1, + -1, + 334350499, + 286562219, + 953374483, + -1, + 788669638, + 994596688, + 266860870, + 868859387, + 524735593, + -1, + 701147774, + 678491714, + 849730137, + -1, + -1, + 221284096, + 601733408, + 357757465, + 342147689, + 543737951, + 720742997, + 200099998, + -1, + 771682764, + 424658003, + 395080572, + -1, + -1, + 136637775, + 320607288, + 543674552, + -1, + 553603662, + 338596723, + 496297679, + 883726468, + 195612482, + 558170219, + 41274828, + -1, + -1, + -1, + 599596198, + -1, + 397415266, + 919141175, + 596435385, + 698591141, + -1, + 996742298, + 979603319, + -1, + 589961851, + 746101910, + 465335397, + 780940040, + -1, + -1, + 709332311, + -1, + 574758026, + 217982766, + 179395991, + 99468575, + 880092676, + -1, + -1, + 650915363, + -1, + -1, + -1, + 40969454, + 564347220, + -1, + -1, + 892241723, + 401878077, + 377738553, + 760127519, + 227222618, + 935372649, + 944811451, + 972810606, + 452253539, + 884781240, + 928814192, + -1, + 869167345, + -1, + -1, + 270768130, + 973988712, + -1, + 266845158, + -1, + 507899916, + -1, + -1, + -1, + -1, + 899787103, + -1, + 425862928, + 52551711, + -1, + 464723523, + 505011995, + 171344016, + -1, + 340003450, + 13907317, + -1, + 866933850, + -1, + -1, + 420520968, + -1, + 2560670, + -1, + -1, + 2847679, + 616746491, + 239581294, + 699891813, + -1, + 932528729, + 12233671, + -1, + 479936933, + 914801997, + 727029496, + -1, + 2658247, + 215080197, + 333125682, + 644247156, + -1, + 318532072, + 798227891, + 136674014, + 418512271, + 733065898, + 539406421, + -1, + 92866657, + -1, + 441604300, + 125686214, + -1, + 121614269, + 763606018, + 463917458, + 414404036, + 904822732, + 460783497, + 23469170, + -1, + 949942059, + 705650285, + 831905098, + 973499702, + 198902138, + 172268249, + 129470879, + 148055235, + 616670813, + -1, + -1, + -1, + -1, + 77708108, + 853252823, + 397286422, + 988313564, + -1, + 851231227, + -1, + 214849480, + 119567896, + -1, + 818490735, + 976166944, + 104684356, + -1, + -1, + 65435890, + -1, + 739267231, + 199726197, + 803235959, + 67891275, + 71310758, + 992855130, + 645365749, + 476851913, + 599707777, + -1, + -1, + 438824608, + 785263960, + 468571052, + 328042818, + 968811841, + 29683472, + -1, + 855817029, + 4076795, + 136559342, + 352520303, + 364072221, + 813208040, + -1, + 905673492, + -1, + 179812158, + 661909458, + 989841307, + 615330714, + -1, + 226846271, + -1, + -1, + 770843887, + 615769369, + 387564987, + 283896373, + 13180422, + 721977869, + -1, + 716266139, + -1, + 212441153, + 957762723, + 189325886, + 276195961, + 379184081, + 598696831, + 703387357, + 464397275, + 524164896, + 426185752, + -1, + 962447817, + 973376912, + 620813662, + -1, + -1, + 921490818, + 964869648, + 294664972, + 487929947, + 671257417, + -1, + 604687540, + 220646951, + 513314477, + 867824788, + 450841896, + 426787923, + 776047410, + -1, + 609758464, + 55006126, + -1, + 200119675, + 961322741, + -1, + -1, + -1, + 495647929, + 660077897, + 548785186, + 637410043, + -1, + 427311666, + 946053263, + 500634114, + 836909233, + -1, + 141062005, + -1, + 458897617, + 793993165, + -1, + -1, + 924430174, + 630275313, + -1, + 816950441, + 616836447, + 588648831, + 479562466, + 635063005, + 675633875, + 651903024, + 56770507, + 728421482, + 542963804, + 329716407, + 442411146, + 225531761, + -1, + -1, + 649432838, + -1, + 881916178, + 408579770, + 924867747, + 917823908, + -1, + 699692450, + 761058126, + 720148579, + -1, + 238459529, + -1, + 60722197, + 588781620, + 961848642, + 88341404, + -1, + 106444614, + 365411445, + -1, + -1, + 418105224, + 783419613, + -1, + -1, + 459952185, + 391580821, + -1, + 143678212, + 46388921, + -1, + 546496995, + 281335530, + 352565748, + -1, + -1, + -1, + 809279680, + 975144111, + 660869928, + -1, + 501426252, + 180622501, + 899861662, + 129330283, + 768890439, + 271197568, + 755350351, + -1, + 673944280, + 871230670, + -1, + 454459962, + 392775228, + 266832694, + 50508872, + 683325357, + -1, + 3434662, + 362762148, + -1, + -1, + 615395946, + 856194265, + 257551664, + 283507987, + -1, + 337893260, + 959019328, + -1, + 245278580, + 743273804, + -1, + 915466190, + -1, + 695766682, + 664129600, + 239304247, + 696234569, + -1, + 37760915, + -1, + -1, + -1, + 98147915, + 838378718, + 492463381, + 795658518, + 174824856, + 798183615, + 925684743, + 473959603, + -1, + -1, + 865742531, + 395645586, + 443956075, + 194645193, + 300192727, + 453681623, + 867229610, + 439229915, + -1, + 15925224, + 583969239, + 394594858, + 636529750, + -1, + 841015194, + -1, + 71474818, + -1, + -1, + -1, + -1, + 916346163, + -1, + 160980498, + 673076391, + 986572805, + 396151178, + 739834686, + 717380206, + 132921910, + -1, + 166013748, + -1, + 330044949, + -1, + 259033468, + -1, + 593444963, + 924387810, + -1, + -1, + -1, + -1, + -1, + 393586316, + -1, + 503454893, + -1, + 479332771, + -1, + 560588126, + 855087974, + 166483859, + -1, + -1, + 271223292, + 511312242, + 353731065, + -1, + 302477862, + 284749451, + 57911036, + 103451484, + 914371972, + 231264432, + -1, + 134992474, + 904182957, + -1, + 282998358, + 442418952, + 990506579, + 547793181, + 977261069, + 859443284, + 594445165, + -1, + 486002454, + -1, + -1, + 969106597, + 725332131, + 186465772, + 135355846, + -1, + 242587042, + -1, + 410516686, + -1, + 163209863, + -1, + -1, + 963486314, + -1, + 95800022, + 320237105, + 648011269, + 721526133, + 271483567, + -1, + 460502706, + 863384959, + 570107752, + 863469771, + 286122895, + 199599165, + -1, + -1, + 207705566, + -1, + -1, + 579591913, + 198862000, + -1, + 992430976, + -1, + 874848612, + 327661220, + 964959607, + 558866043, + 6381072, + -1, + 586544822, + 862737380, + 537212758, + -1, + 135147462, + 84685437, + 356416666, + 929320266, + -1, + 766028759, + 825824674, + -1, + -1, + 910737828, + 813799000, + -1, + 644721340, + 714690750, + 866923100, + -1, + -1, + -1, + -1, + 720262418, + 547770147, + 548432215, + 532889880, + 924747911, + 629737137, + 111279075, + -1, + 996517632, + 798903851, + -1, + 347026701, + 448076107, + 672414389, + -1, + -1, + -1, + 429648178, + 236414062, + 853583949, + 433328943, + 176860448, + 529772378, + 546351028, + 900993311, + -1, + -1, + 513327706, + -1, + -1, + 328164274, + 86806447, + 898117970, + 13084453, + -1, + 96396993, + 559614040, + 723451845, + 53152905, + 554985324, + 638402014, + -1, + 997335800, + 396860341, + 961970869, + 739584711, + 223479396, + 177441532, + 568340681, + -1, + -1, + 541316835, + 636908377, + 889585850, + 733546377, + -1, + 688233527, + 284211303, + 601725512, + 572713117, + 346442042, + -1, + 736138397, + 262193597, + 508114236, + 194123875, + -1, + 322093627, + 397140038, + 454966238, + 92308386, + 784232673, + 233007847, + -1, + 574425176, + 649529509, + 256476395, + 279461485, + 993728165, + 42403635, + -1, + 262266421, + 327655115, + 647824798, + 631614567, + 937741060, + 307072839, + 268073252, + 353977923, + 330201475, + 706674057, + 301326402, + 585691610, + -1, + 201346226, + -1, + 554601036, + -1, + 180800536, + -1, + -1, + -1, + -1, + 957895926, + 520061999, + 109918456, + 758342725, + 714890552, + 2855972, + 940567035, + 933569853, + -1, + -1, + 987149559, + 320252545, + 72175263, + -1, + 471567547, + 126568514, + 72480627, + 528978710, + 857129681, + 542937148, + 948225189, + 435564629, + 755483404, + -1, + 13295335, + 369044166, + 32608660, + -1, + -1, + 207412425, + 299413057, + 370683703, + 528881712, + -1, + -1, + -1, + 693115869, + 744240742, + 212015734, + 377691022, + -1, + 503631203, + 469345176, + 58986756, + 168512088, + -1, + 317920206, + -1, + 715345734, + 271825514, + 85799490, + 945791367, + 286474416, + -1, + -1, + -1, + 838944289, + 70508284, + 742434827, + 371914245, + 255503264, + 375495590, + 954416240, + -1, + 338750478, + 601873197, + -1, + 305889461, + 371470167, + 200469243, + -1, + 909403001, + 537198607, + -1, + 360896623, + 566820429, + -1, + -1, + 497767100, + 800032583, + 437110914, + -1, + 634207371, + -1, + 414928713, + 941967633, + -1, + 359592404, + -1, + -1, + 482254727, + -1, + -1, + 584553654, + 299637216, + -1, + -1, + -1, + 922166509, + -1, + -1, + -1, + 706905686, + -1, + 633381205, + 970120677, + -1, + 76278088, + -1, + 301471928, + 97208319, + 725160644, + 107721573, + 423736832, + 542237611, + 622695544, + -1, + 605482946, + 238091505, + 70123597, + 184589222, + 108092512, + 897907849, + 969641691, + 278899697, + 77666625, + 468414196, + 583973358, + 629146337, + -1, + 775540066, + 223236673, + -1, + -1, + 251382647, + 856652306, + -1, + -1, + -1, + 101698235, + -1, + 713506751, + 661550112, + 816119092, + 296314339, + 684765966, + -1, + -1, + 576828685, + -1, + -1, + -1, + -1, + 626267793, + 143919398, + 728059818, + 774529465, + 334328700, + 191045149, + 979466215, + -1, + 370531307, + 779121476, + 324356569, + 552136241, + -1, + 292150360, + 764334971, + 943124255, + 924930887, + 643342464, + 782978492, + 318760004, + 808779528, + 848825867, + 4012601, + 449993090, + -1, + 198974833, + 117459539, + 934926694, + 779658942, + 216122150, + -1, + -1, + -1, + 945410192, + 30402577, + -1, + -1, + 731280901, + -1, + 707713347, + 718167577, + -1, + 268575360, + -1, + -1, + -1, + 343096822, + 719366153, + -1, + 626147193, + 451193434, + 541153336, + -1, + 836722053, + -1, + -1, + 455223161, + -1, + 473404210, + -1, + 583289816, + -1, + 945530787, + 495351917, + 151018373, + -1, + 923478210, + 117561977, + 218384880, + 687572221, + 147500427, + 995315473, + 258076642, + 579565353, + 619143882, + 532783419, + 944767125, + -1, + 486795877, + -1, + 978009080, + 762348605, + 355246229, + -1, + 983713573, + 33429991, + 187003400, + 832764951, + -1, + 240826135, + 835942948, + 709593338, + -1, + 198892969, + -1, + 636152373, + 737501001, + 37355217, + 201782154, + 61436114, + -1, + -1, + -1, + -1, + -1, + 693760970, + 710136675, + 756497403, + 451539851, + 425102430, + 942382606, + 599889469, + 832345689, + 560660535, + 107108220, + 676774916, + 313829003, + 283332971, + -1, + 913743215, + 799274439, + 782973689, + -1, + 336861895, + 687120341, + 40101219, + -1, + -1, + -1, + 397088915, + -1, + -1, + 131945226, + 215826317, + 451487901, + 593522959, + 163340873, + -1, + 945655414, + -1, + -1, + 748462291, + 334825363, + 621718648, + 858019633, + 162337346, + 264554292, + -1, + 272516637, + -1, + -1, + 802430901, + -1, + -1, + 671264601, + 273804232, + 8370130, + 810908287, + -1, + 200091664, + -1, + 100612184, + -1, + 210871525, + 386196771, + 74933038, + -1, + 621082524, + -1, + 280430026, + -1, + 278606223, + 310149853, + 740529212, + -1, + 192218352, + 433433766, + 565600424, + 900931949, + 141652208, + -1, + -1, + 718159734, + -1, + -1, + 246025672, + -1, + -1, + 309126142, + 977535021, + 649035669, + 65612186, + -1, + 731308839, + -1, + -1, + 738372771, + 676958444, + -1, + -1, + 492784765, + -1, + 776756549, + -1, + 709535685, + 671030769, + 441633214, + -1, + 201792177, + 397769670, + -1, + 633097176, + 361040346, + 523607651, + -1, + -1, + 314510177, + -1, + -1, + 952138069, + -1, + 506745548, + -1, + 505857227, + -1, + 860106554, + 316085384, + -1, + 329149059, + 222783674, + -1, + -1, + 900497186, + -1, + 694009999, + -1, + 79263058, + -1, + 226136973, + 339145795, + -1, + 586610060, + 97097201, + -1, + 560547940, + 788044856, + -1, + 611341861, + -1, + 356574315, + 297803396, + -1, + 303306453, + 998890303, + -1, + -1, + -1, + 801023688, + -1, + 725702652, + 237188671, + 535503036, + -1, + 768933710, + -1, + 644115057, + 630987112, + -1, + 992389050, + 190284351, + 973330329, + 966745472, + 837480920, + 532772297, + -1, + 483668225, + 405869594, + 552124977, + 188489353, + 822464825, + 607098209, + -1, + 109580181, + -1, + -1, + 743435983, + 461562404, + 823961243, + -1, + 239528008, + -1, + 133214932, + 391332553, + -1, + 398720653, + 846421090, + -1, + 129637207, + -1, + 675946618, + -1, + 638260305, + 419167174, + -1, + 903513247, + 446263857, + 274901609, + -1, + 974757445, + 771022645, + -1, + -1, + 962832777, + 654077915, + 712157414, + -1, + 164278617, + 225558267, + 833777552, + -1, + -1, + 461047740, + 89414482, + -1, + 938445979, + -1, + 96096560, + -1, + 331916146, + 370932225, + -1, + -1, + 987995759, + 968772437, + 686586829, + 387435980, + -1, + 599289530, + 776588888, + 848728202, + -1, + 703175939, + 49658800, + 42373296, + -1, + 695229884, + 133105395, + -1, + -1, + -1, + -1, + -1, + -1, + 46635450, + -1, + 601513288, + -1, + -1, + 782452182, + -1, + 409920345, + -1, + 36072691, + 645914557, + 984083868, + 620868517, + -1, + -1, + 225743763, + 800309976, + 567186922, + 278185958, + 487856434, + 950382610, + 153430398, + 549946966, + 120841514, + 416330106, + 44638344, + 741954025, + 464369407, + 399797956, + -1, + 544460431, + 346830478, + 23548186, + 588389182, + 818471364, + -1, + -1, + 884507850, + 841217449, + 9333323, + 373706261, + 14006913, + 2259644, + 417638423, + -1, + 735926759, + -1, + 970450503, + -1, + 328075959, + 374290309, + 452141415, + 55946724, + -1, + 160186153, + 575748636, + 143481848, + 947625971, + 429695538, + 708797713, + 384641481, + 963101471, + -1, + 278747725, + -1, + 366108092, + -1, + 776976938, + 493903794, + 430786086, + 227409849, + -1, + 59545364, + 187990668, + 825460121, + 602174474, + 473802552, + 286111732, + 803532197, + 948432019, + 699027466, + 461611987, + -1, + -1, + 129222799, + 527746129, + 588532709, + 320673171, + 517887524, + -1, + 332465572, + 597631577, + 642043596, + -1, + 626449889, + -1, + 107411225, + 249319821, + 865344932, + 156761927, + -1, + 339675017, + 533094955, + -1, + 355332912, + 583684727, + 409003565, + -1, + -1, + -1, + -1, + 698885810, + -1, + -1, + 827045252, + 713362056, + 515567278, + 368422854, + -1, + -1, + -1, + 42467428, + 519301901, + -1, + 600197003, + 586062702, + -1, + 343663399, + 655660048, + 50618488, + 986447374, + 805529467, + 993274490, + 656984477, + -1, + 547490024, + -1, + 512827441, + -1, + -1, + 1703838, + 201251182, + -1, + 304057867, + -1, + 143574689, + -1, + 83020104, + 422644728, + 117141600, + 37348468, + 515748978, + 485382340, + -1, + 796552897, + 421697729, + -1, + 712828708, + 45666202, + 560139759, + -1, + 999900020, + 8700846, + 406516005, + 983447976, + 849845265, + 920787515, + 174271100, + -1, + 253962151, + 202899896, + 18338885, + 722954826, + 669063232, + 96152631, + -1, + 277397337, + 229271998, + 829578499, + 559588255, + 536275918, + 722470635, + 112665363, + 853054449, + -1, + 289428215, + -1, + 245938738, + -1, + 699170425, + 642302744, + 880823554, + 815914619, + 19533509, + 595312272, + 898047017, + 658907329, + 469110102, + -1, + -1, + 699459434, + 308817249, + -1, + 887688265, + -1, + 248793550, + 332549330, + 348666130, + 970636062, + 868302364, + 964955840, + -1, + -1, + 73494078, + 247617190, + 322805775, + 432443490, + 400854177, + 76269636, + 349891017, + 181336070, + 207821437, + 911278959, + 470617014, + 890964337, + 625349073, + -1, + 115275669, + 961714853, + 299399635, + -1, + 16578360, + 202439786, + -1, + 912444240, + -1, + 530970564, + 580207342, + 218918819, + -1, + -1, + 6796873, + 832880114, + -1, + 388952031, + -1, + 559491898, + 400797205, + 59861562, + 856252064, + 103943972, + 958855488, + 934248132, + -1, + 371474801, + -1, + 664755201, + 789071184, + 183070359, + -1, + 296766991, + 175241651, + 884097476, + -1, + 118982282, + -1, + 683382907, + -1, + 281091595, + 785163713, + 930481756, + 476433860, + 407381362, + -1, + -1, + -1, + 652331586, + 327926464, + -1, + 729823513, + 419502742, + -1, + -1, + 101130750, + -1, + 878097698, + -1, + 400307021, + 710682031, + 135254196, + 646901264, + 230807043, + 66622816, + 525283534, + -1, + -1, + -1, + 129142680, + 818783755, + 234019317, + 963933385, + 60908394, + 333339487, + 392334490, + 395675777, + 819076239, + -1, + 36352515, + -1, + -1, + 213143996, + 913516255, + 560800904, + 975819899, + 883331138, + 85451251, + 946274317, + -1, + 372301942, + 405050938, + 453607693, + 422715353, + -1, + 824245940, + -1, + 859421409, + -1, + 74467039, + -1, + -1, + -1, + 714188759, + 955543773, + 661855096, + 270158593, + -1, + 290526797, + -1, + 638992339, + 699000028, + 878807401, + 679629962, + -1, + -1, + 675653103, + 330667577, + 404257587, + 311048212, + 164492694, + -1, + -1, + 702688358, + 593033065, + 846839566, + 384626329, + -1, + 509729607, + 451857407, + -1, + 490654487, + 467404719, + 601042407, + 54210619, + -1, + 620035732, + 909838113, + 194118637, + -1, + 700562694, + -1, + -1, + 401829302, + 407704229, + 93555389, + 167926819, + -1, + 169285729, + 552339580, + 982507171, + 309979829, + -1, + -1, + 455375859, + 152173071, + 35106556, + 704206101, + 589832413, + 743988302, + -1, + 847573014, + 207269655, + 496386623, + 805195046, + 200779247, + 330196314, + 117637235, + -1, + -1, + 577605724, + 835205170, + 413235717, + -1, + -1, + 742719318, + 470964531, + 414635751, + 556610663, + 343305219, + 51125729, + -1, + 97480388, + 853751585, + -1, + 791632847, + -1, + 813056034, + 730947151, + 312235354, + -1, + -1, + 558743389, + 626678239, + 391454730, + 453434803, + -1, + 677120197, + 565128116, + -1, + 428994166, + 658117984, + 214500174, + 511572813, + -1, + 93167379, + 433102819, + 84652849, + 545898030, + 856151784, + -1, + 712585397, + 765237845, + 347074348, + 799859327, + 178650195, + -1, + 130683960, + 625954386, + 821506373, + 590695051, + 971650070, + 587985456, + 549137392, + 396578666, + 208986670, + 336732403, + 228081420, + 188401589, + -1, + 876756046, + 346884472, + 898903642, + 620364890, + -1, + -1, + 387212850, + 830765681, + 607910572, + 213487871, + -1, + 618775089, + 829930757, + 15587706, + 833750930, + -1, + -1, + -1, + 840166261, + 212339402, + 469543205, + 911057457, + 744961091, + -1, + 116415787, + -1, + 274264714, + -1, + 224953289, + 466501483, + 662654925, + 824696043, + 777304941, + 320117770, + 447211005, + -1, + 10733550, + -1, + -1, + -1, + 802825461, + 954118579, + 61705115, + 191523492, + 425043062, + 358807620, + 824770792, + -1, + 212822542, + -1, + -1, + 284886477, + -1, + 906371441, + 123954482, + -1, + 556125931, + 944620523, + 717108496, + 788232287, + 220917495, + 195277862, + 680513929, + 362072119, + 620123253, + 373860079, + 79382265, + 948662511, + -1, + 809415858, + 744065438, + -1, + -1, + 692165029, + 735410206, + 591546321, + 353985849, + -1, + -1, + 727014089, + 984899538, + 786945903, + 545571959, + 840855769, + 355533921, + -1, + 636653875, + 738732868, + 218443536, + -1, + 880297819, + 161834665, + 504427549, + 554912156, + 820829494, + -1, + 28165162, + 470704349, + 658152889, + 608142219, + -1, + -1, + 153665930, + 365584005, + 522376543, + 905347229, + 892623312, + 980022281, + 338107163, + -1, + 494071870, + 10477951, + -1, + 441470715, + -1, + 596307150, + 69744747, + -1, + -1, + 327387232, + -1, + 38427427, + 195335575, + -1, + -1, + 128174640, + -1, + 696056687, + 44973569, + 720686163, + 75067008, + 175981964, + 138486260, + 617259635, + 92545789, + -1, + 76010731, + -1, + 890981744, + -1, + 517170755, + 735083283, + 228712616, + 983587173, + -1, + -1, + 263387403, + 971542780, + -1, + 390495906, + 820996727, + 302454961, + -1, + 86066154, + -1, + -1, + -1, + -1, + 683078693, + 693861886, + 570029456, + 169916168, + 30521240, + 313502900, + 736735048, + 970878698, + 100224881, + 624282302, + 29871959, + 137433209, + -1, + -1, + 938858826, + 496642922, + -1, + 166971965, + -1, + 810923665, + 972344566, + -1, + 800388893, + 385364382, + -1, + 480313533, + 33872649, + -1, + 108492832, + 83141432, + -1, + 692332553, + -1, + -1, + -1, + -1, + 575451482, + 163504170, + -1, + 759506976, + 892178674, + 624400267, + 807307319, + 87218641, + -1, + 412406358, + 594508953, + -1, + 448446912, + 960382799, + 585733431, + 752551010, + 210038625, + -1, + 593652726, + -1, + -1, + 866832988, + -1, + 690362964, + 215241904, + -1, + -1, + 155963975, + -1, + 166798386, + -1, + 541209785, + -1, + 138897062, + -1, + 409345363, + 430958184, + 947250974, + 639489598, + 803707629, + -1, + 624950269, + 884583731, + -1, + 917654065, + -1, + 698775928, + 119421367, + 793917794, + 619029347, + 280164205, + 635337241, + -1, + 849421742, + -1, + 679444669, + 216241091, + 914721038, + 11971503, + 302506594, + -1, + 400239321, + 203689527, + 779599388, + 755184797, + 843850063, + 87947027, + 305033847, + 79344073, + 197602709, + 864311725, + 874023813, + 357270779, + 361658476, + 71876533, + -1, + -1, + -1, + -1, + 633689560, + 120933219, + 859934457, + 520476326, + -1, + -1, + 586292099, + 164081480, + 960555275, + 737864794, + -1, + 724591534, + 169912119, + 461861557, + 2621765, + 152219019, + 679280525, + 671837554, + 324489764, + 510400462, + 616126104, + 7154798, + -1, + 828690926, + -1, + -1, + -1, + 899167743, + 521867777, + 643927026, + 909211977, + 270476307, + -1, + 24818970, + 30320246, + 645751639, + 195280508, + 275684222, + 172920068, + 98259477, + 225532878, + -1, + 774294639, + -1, + -1, + -1, + -1, + 460490806, + 717912399, + 197040424, + -1, + 332172804, + 865089930, + 224423833, + 876158705, + 524292236, + 38465349, + 815666448, + 351350956, + 126849003, + -1, + -1, + -1, + 6221575, + -1, + 225948751, + 653543546, + -1, + 937009371, + 81410031, + 335191044, + 599434682, + 888427144, + -1, + 101531917, + 983657565, + -1, + -1, + 432397391, + 210197878, + 999585172, + 730488709, + 174177256, + 743875383, + -1, + -1, + 562231164, + 854132680, + 727418980, + 421325081, + -1, + 274654565, + 114169410, + 507915053, + -1, + 813091661, + -1, + -1, + 80894041, + 931764293, + -1, + 654608342, + 205798679, + 327776558, + -1, + -1, + -1, + -1, + 997023538, + 317616545, + -1, + 336642599, + -1, + 656816560, + 306407873, + 385354349, + -1, + 554035614, + 436170063, + 515544809, + 863726006, + 811062939, + 647640320, + 478959638, + 554995875, + 110167544, + 218554015, + 464608035, + 758200852, + -1, + 509844851, + -1, + 82816154, + 547305311, + 953049089, + 759065684, + 404234860, + 535997462, + 819321833, + 443679345, + 517218132, + -1, + -1, + -1, + 885124334, + -1, + -1, + 141063388, + 360796753, + 790601896, + 509616216, + 804960150, + 66538063, + 170003936, + 328728250, + 203824188, + 757083417, + 675748574, + -1, + 516065526, + 604743129, + 704202092, + -1, + -1, + -1, + 865935296, + -1, + 326063854, + 624656309, + 766586762, + 557714752, + 500047998, + 538229413, + 396314602, + 425684199, + 978876821, + -1, + -1, + 613390501, + 545036272, + -1, + -1, + 295303834, + 600891453, + 388349262, + -1, + 54358109, + -1, + -1, + 749570890, + 443831629, + 826499980, + 497357206, + 53196914, + 565872429, + 644302690, + -1, + -1, + -1, + -1, + 557342837, + -1, + -1, + 224384386, + 174359880, + -1, + 481609147, + 310089428, + 544583863, + -1, + 291760819, + 363341876, + -1, + 427524666, + 522956045, + 382714401, + 928318311, + 268371758, + 879288743, + 786845635, + 671580740, + -1, + 601192416, + 920095687, + 914472037, + -1, + 744592218, + -1, + 898596067, + -1, + 449300007, + 334277226, + 922978172, + -1, + 824322638, + 341223009, + -1, + -1, + 996350533, + 756778439, + 24284802, + 367658911, + 961596386, + -1, + 434856053, + -1, + 605723219, + 431897754, + -1, + -1, + 970729026, + 542853736, + 977257504, + 844972163, + 612988374, + -1, + -1, + 469445606, + -1, + -1, + 972099770, + -1, + -1, + 969030182, + 738596814, + 561895150, + -1, + 155873452, + 888597630, + -1, + 925602528, + 367337573, + -1, + -1, + 400421232, + 848554163, + 807686667, + 431856515, + 520892194, + 461319785, + 967262737, + 74787580, + 612398744, + -1, + -1, + 289819181, + 448521858, + 361028580, + -1, + 914761042, + -1, + 159242738, + 950492876, + 566835309, + 240521698, + 635659156, + 398001994, + 115229043, + 204359511, + 264763829, + 160209775, + 201197264, + -1, + 751003597, + 453086095, + -1, + 12333652, + -1, + 892465169, + -1, + 133196892, + 845976486, + 521326041, + 109518575, + 768288342, + 557816529, + 441402837, + 294816428, + 685543481, + -1, + 942433193, + 58495137, + -1, + 919082898, + 312183720, + 123088786, + -1, + -1, + 11225410, + -1, + -1, + 396274543, + 302181020, + 77932486, + 708969068, + 178011151, + -1, + -1, + -1, + -1, + 624817901, + 574919384, + -1, + -1, + 282382003, + 456573938, + -1, + 28565665, + -1, + -1, + -1, + -1, + 680763456, + -1, + 58509578, + 617225532, + 19247150, + -1, + 640109933, + 417866411, + 103161710, + 245901117, + 778464071, + 38277049, + 67378008, + 662769995, + 825556008, + -1, + 896464894, + -1, + 921756635, + -1, + 528935858, + 546073653, + 868509018, + 210278005, + -1, + 502093894, + 564205865, + 625116226, + 721945417, + -1, + 864088704, + 286890515, + -1, + 14282920, + 789930032, + -1, + -1, + -1, + 851393555, + 723756160, + 582809718, + -1, + 696430950, + -1, + -1, + -1, + 686408904, + 293692050, + 380939056, + 637996603, + 134759608, + 186627287, + -1, + 849590901, + 166749636, + -1, + -1, + -1, + -1, + 593205198, + 350852566, + 724141494, + 673833429, + -1, + 939950425, + 142184388, + 859482314, + 6739853, + 590749458, + 24987546, + 847609754, + 934816219, + 627777054, + 167363513, + 668990137, + -1, + 214172675, + -1, + -1, + 577028263, + 951457595, + -1, + 776781753, + 236733994, + 623488490, + -1, + 296114573, + 19604828, + 762248880, + -1, + 756560235, + -1, + 993818464, + 142079482, + 52707799, + -1, + 264688145, + 984582209, + 392668334, + 126866481, + 400215567, + 848069182, + -1, + 206482143, + 696578179, + -1, + 841329955, + 196126347, + 644216000, + 949480448, + 998479068, + 811085600, + -1, + -1, + 563779560, + 306131415, + 501329593, + -1, + 669637360, + 25779075, + 295448539, + 565940764, + -1, + 886421697, + 797502615, + 433912283, + 624853122, + -1, + 166607146, + 84078041, + 480677969, + 97420566, + -1, + 340956925, + 284447280, + 709540345, + 55060099, + 379266645, + 143036264, + 511369013, + 479407631, + 59597791, + 712103670, + 844487009, + 392358555, + -1, + 662326723, + 49724964, + 533273277, + 168324819, + -1, + 151006043, + -1, + 275467164, + 358213544, + 183961196, + -1, + 193945635, + -1, + 259849980, + 379757862, + -1, + -1, + 724055984, + 792141479, + 686666705, + 619907557, + -1, + 684866394, + -1, + 636558050, + 595342173, + 832845729, + 956020995, + -1, + 331937030, + -1, + 322808546, + 165929260, + 57233158, + -1, + 33588592, + -1, + 356812225, + -1, + 367252202, + 372072543, + 49369484, + -1, + 229931995, + -1, + 900190585, + -1, + 523053296, + 436887927, + 212883795, + -1, + -1, + 750315005, + 160153154, + -1, + 734208433, + 853326374, + 916456664, + -1, + 54503077, + 878423693, + 986976178, + 786069204, + 365591211, + -1, + 733542182, + -1, + 142657690, + -1, + 134682495, + 158019554, + -1, + -1, + 993729234, + -1, + 555855212, + 465746306, + 689473891, + 968360537, + -1, + -1, + 339130596, + 175262424, + 595519543, + 218448448, + -1, + 267229178, + 919610628, + 724744069, + -1, + -1, + -1, + 892055053, + 744037344, + -1, + -1, + 843175385, + 369400817, + -1, + 618880217, + 768049258, + 422100206, + -1, + 632537943, + 613789323, + 101663443, + 797804368, + 594887765, + 512827767, + -1, + 578715180, + 424864579, + 934940146, + 550482916, + 564552698, + 355843808, + 313765680, + 966328909, + 403574411, + -1, + 108657695, + -1, + 22097391, + 189429939, + 786413669, + -1, + 281166213, + 783524533, + 140701111, + 689150231, + 563993271, + 269346340, + 89523573, + 298359924, + 495410011, + 22946019, + 77483426, + 931702890, + 457430368, + 595131523, + -1, + -1, + 34445370, + -1, + 935440403, + 865156926, + -1, + 284775756, + 450417628, + 274763628, + -1, + -1, + 680822394, + 139578493, + 467000628, + 331948796, + -1, + -1, + 904923276, + -1, + 483359997, + 588882190, + -1, + 3713684, + -1, + -1, + 625409909, + 302431326, + -1, + 540563568, + -1, + 685997528, + 724176203, + 867393668, + 228972131, + 905833535, + 461012903, + 330738945, + -1, + 594315807, + 705093493, + -1, + 589807720, + -1, + 671455142, + 647283182, + -1, + 253212995, + 771325789, + 288726210, + 932419671, + 10903196, + -1, + 926873602, + 115584314, + 926381629, + 142092348, + 148262568, + 202647826, + -1, + 311119961, + 337531416, + 93317057, + 616315042, + -1, + -1, + 8955423, + -1, + 476315935, + 572097554, + 545314147, + 619058186, + 269387110, + 913585419, + 867122456, + 110362837, + 316722051, + -1, + 660723445, + 609429134, + 402072884, + 607581340, + 473062145, + -1, + 532787270, + 123453533, + 722006222, + 175388435, + -1, + 207974501, + 710431815, + 589030259, + 220765304, + 646895190, + 861241061, + 454569510, + 638191774, + -1, + 882987801, + -1, + 392978715, + 993978995, + -1, + -1, + 70756201, + -1, + 515721465, + 849685786, + 77931296, + -1, + 7368392, + -1, + 811334157, + -1, + 186888299, + 663183151, + -1, + 555958349, + -1, + 102744218, + 370564336, + 824599146, + 956517862, + -1, + -1, + 37907550, + 642662881, + 860881360, + 942714590, + -1, + -1, + -1, + 204587772, + -1, + 222224722, + 477710560, + -1, + 967733937, + 971556624, + 180019481, + -1, + 271735358, + 364841176, + 785177194, + -1, + 528407079, + -1, + 352833793, + -1, + 239610546, + 961044999, + 465160544, + -1, + 478460466, + 307878202, + 300807134, + 306729060, + -1, + 278571129, + 972444164, + 707844249, + 475113123, + 529995197, + 727982349, + 412544133, + -1, + -1, + -1, + 794832756, + -1, + 719135538, + 179550285, + 850911695, + 74599487, + -1, + 371287063, + 26113039, + 492169367, + -1, + 208609468, + 819786669, + 413461051, + 700740207, + 627328041, + -1, + 674274686, + 946786988, + 943011336, + 996879656, + 44303869, + 958345643, + -1, + 469123433, + 72552664, + 545726079, + 97350761, + -1, + -1, + -1, + 67176892, + 683467340, + 186078028, + 384138036, + 869189804, + 453595426, + 868214979, + 274108014, + 729438376, + 137775770, + -1, + -1, + -1, + 154759140, + 994230191, + -1, + 943007684, + 331248308, + 799671162, + 888001088, + -1, + 229325976, + -1, + 879563215, + 291647564, + 683146989, + 849428047, + 60948779, + 563510460, + 528406199, + 881078814, + 612773768, + 4665318, + 177082464, + -1, + -1, + 21424014, + -1, + 890699241, + 483451339, + -1, + 770137379, + -1, + -1, + -1, + 729743101, + 644386503, + 226015246, + 619266804, + 503509373, + 14272527, + 917218305, + -1, + 456649810, + 735328881, + -1, + 565751169, + 302928294, + 801564585, + 806378277, + 364774707, + -1, + 42090261, + 629024678, + -1, + 698411763, + 809628207, + 694009463, + -1, + 485520662, + -1, + 932663309, + 997983353, + 324192751, + 246806822, + 335630638, + 248710273, + 360283636, + -1, + -1, + 242811355, + -1, + -1, + -1, + -1, + -1, + 860297521, + 409726797, + -1, + 24689259, + 675926714, + 244844887, + -1, + -1, + -1, + 534981046, + 128578758, + 990927500, + 594394665, + -1, + -1, + 400628933, + 215275708, + -1, + -1, + 913047037, + 746411232, + -1, + 943292407, + 867126021, + 36571773, + 975410385, + -1, + 732272990, + 195005935, + 33685337, + -1, + 874526813, + 8664528, + -1, + 251009265, + -1, + 369844324, + 270761413, + 7609538, + 184522681, + 401702176, + -1, + -1, + 296145970, + 452155045, + 509353215, + 676255361, + 365769763, + -1, + -1, + 61300781, + 606462429, + 341794081, + 207474251, + 531317160, + -1, + -1, + 384800359, + -1, + 848918555, + 965129234, + 861740034, + 302969223, + -1, + -1, + 684563616, + -1, + 203130220, + 131646304, + 31761768, + -1, + 624731099, + 183837965, + 797371859, + 641767688, + 105716895, + 392267008, + 956804493, + -1, + 339840882, + -1, + 979242210, + -1, + 170765779, + 575846708, + -1, + 106683991, + 427544308, + -1, + -1, + 446568428, + 487191533, + -1, + 93677016, + 758000734, + 919680627, + 414883453, + -1, + -1, + 983868606, + 657639145, + 876179731, + -1, + 954001093, + 307043498, + 327653981, + -1, + 242326595, + 339974329, + -1, + -1, + 999021929, + 98411088, + 839779314, + 555105687, + 391383628, + 82927353, + 689222439, + -1, + 876275883, + 130902343, + 542901775, + 996878290, + 197285804, + 788842414, + -1, + -1, + 236487477, + 324106646, + -1, + 282826518, + 189229341, + 951236357, + 642592046, + -1, + 313364223, + -1, + -1, + -1, + 183263125, + -1, + 927893627, + -1, + -1, + -1, + 148777016, + 374716053, + -1, + 173369689, + 156646515, + 877974038, + -1, + 452020694, + 351633555, + 509044187, + -1, + 153331293, + 399797334, + 79029734, + 703282650, + 450360616, + 176622947, + 78195022, + 864531520, + -1, + 492408066, + 410138218, + 792997904, + -1, + 560124971, + -1, + 191315542, + -1, + 560971034, + 673136861, + 416336143, + 45840630, + 813174390, + 682016080, + -1, + 385279350, + 173912468, + 371164193, + -1, + 364940861, + 267529378, + 674497295, + 609198650, + -1, + -1, + 320287452, + 139250321, + -1, + 451117131, + 596454095, + 628609834, + 783023019, + -1, + 377324330, + 440737983, + 41174342, + 943175014, + -1, + -1, + 80507975, + 655172252, + -1, + 670838650, + 604243101, + 586483048, + 544867176, + 901224296, + -1, + -1, + -1, + 333046893, + 393734304, + 703070730, + 546127026, + 140930389, + 429936948, + 561582689, + 5446193, + 611502691, + 330564197, + 218078680, + 839250535, + 501380097, + -1, + 17631050, + 80818945, + 390073302, + 776611322, + 995498808, + -1, + 101969630, + 267482305, + 53611377, + 165412893, + -1, + -1, + 229834046, + 723406870, + -1, + 811173355, + 667602792, + 342233400, + 421190815, + -1, + 55847556, + 968316580, + 807963742, + 507287344, + 176699438, + 608533809, + -1, + 16390333, + 166435738, + -1, + 751895064, + 664651290, + 833367307, + -1, + 545367310, + -1, + 474316605, + 70891386, + 813915801, + 735864863, + 664469844, + 743841710, + 918426184, + 656710135, + 439361620, + -1, + 599238254, + 21405018, + 880145306, + 838701981, + 897529102, + 534248334, + 513238170, + -1, + 534296900, + -1, + 874689324, + -1, + -1, + 180781132, + 839171163, + 267529363, + 914332455, + 486309264, + 347311029, + -1, + 300801452, + 828431286, + 154845364, + -1, + -1, + 705352109, + 142313080, + 811196551, + -1, + 166256269, + -1, + 751453787, + 783711677, + 131103158, + -1, + -1, + -1, + 236986434, + 346417661, + 916648696, + -1, + 483475813, + -1, + -1, + 719971102, + -1, + 439869600, + 45503992, + 357800944, + 939570424, + 258350849, + 66603492, + -1, + 525560422, + 293039603, + 741338371, + 573212530, + 534343359, + -1, + -1, + 799247824, + 808757743, + 170501096, + 730331142, + 365404871, + 606450741, + -1, + 453690946, + 970221660, + 384280468, + -1, + 84946789, + 415498163, + 979944156, + 933862518, + 837635087, + 997032188, + -1, + 362737165, + -1, + 974964412, + 882820811, + -1, + 952327687, + 787999850, + -1, + 396321018, + 808918726, + 113896112, + 650796298, + -1, + 193206683, + 967677343, + -1, + 750012499, + -1, + 339230572, + 891905678, + -1, + -1, + 555757071, + 524359488, + -1, + 853971916, + -1, + 475791838, + -1, + -1, + 929253984, + 572658001, + -1, + 596495333, + -1, + 163210426, + 257753630, + -1, + 94718736, + 548141660, + 60001222, + 848664795, + 954275794, + -1, + 708394865, + 199024646, + -1, + -1, + 846745804, + 347898510, + 888679786, + 743138028, + 451961203, + -1, + 819921716, + 110709770, + 683037267, + 767349447, + 971190597, + -1, + 261724190, + 59914806, + 784954766, + -1, + -1, + -1, + 496147705, + 9375004, + 432299787, + 350301347, + -1, + 468676664, + -1, + -1, + -1, + 480320449, + 359764932, + 838334936, + 331966917, + 422645167, + -1, + 338558256, + 778889702, + 486228842, + -1, + 647450112, + -1, + 366291100, + 708289934, + 461819492, + 227209899, + -1, + 126123473, + 643721694, + 698284714, + 132866667, + 957391295, + 718319455, + -1, + 406286513, + 469508051, + 454440829, + 474039800, + 591237534, + 502991581, + 655993249, + 331881643, + -1, + -1, + 187838890, + 625089847, + 638128951, + 770114946, + 62883056, + 780431824, + 653893571, + -1, + 793748516, + 629938026, + 822621171, + 669200299, + 364807347, + -1, + 704906788, + 261145105, + 727130174, + -1, + -1, + 241015809, + -1, + -1, + 790760762, + 256054437, + 419422751, + 743884323, + 781251905, + 272826893, + 96708202, + 567664536, + -1, + 665746227, + -1, + 142646395, + 302782007, + 676524503, + 388956440, + 445486710, + 20900151, + -1, + -1, + 542550025, + 443605612, + -1, + 935285421, + 973085060, + 280317283, + 384014205, + 331358765, + -1, + -1, + 907656379, + 701767369, + 788414877, + -1, + 391771545, + 119078352, + 382598632, + 783643573, + 439591729, + 520974007, + 66763283, + 24864722, + -1, + 593846998, + 848913362, + 302505701, + 866388463, + 139670604, + 60380919, + 298129053, + -1, + -1, + 326228379, + 485663932, + -1, + -1, + -1, + -1, + -1, + -1, + 798245148, + 20507005, + -1, + -1, + -1, + 332041047, + 34153303, + 411539329, + 198366267, + -1, + 567749453, + 84580507, + 557052228, + 480930016, + -1, + 935565767, + -1, + 899917939, + 742919833, + 392580445, + 237004428, + 416599021, + -1, + 810677992, + 558739038, + -1, + 750915792, + -1, + 17535327, + -1, + 580439181, + 569462085, + 149913018, + -1, + 579525065, + 912674467, + -1, + 266003729, + 666294612, + -1, + 346515821, + 812004403, + 633513350, + 689155695, + 527661979, + 382143907, + -1, + -1, + 716917688, + -1, + 681642616, + 114401849, + 755236820, + 479323979, + 278143675, + 359108067, + 449363429, + 992202477, + -1, + -1, + 940066603, + 274312191, + -1, + 366643632, + -1, + 966219415, + 756486560, + -1, + 494412162, + 882448828, + 437894508, + -1, + 700575520, + 94217916, + 357415771, + 186759060, + 709785521, + 832445056, + 995075291, + 577444847, + 789820475, + 555404449, + -1, + 142190390, + 434158597, + -1, + 87844934, + -1, + 255471322, + 258529034, + 528281836, + -1, + -1, + -1, + -1, + -1, + 901556227, + 456177135, + -1, + -1, + 647748910, + 768948564, + 675256784, + -1, + 705504423, + 294936595, + -1, + 415546143, + -1, + 930051875, + -1, + 983967073, + 576009906, + 475530822, + 368157208, + 787368764, + 567544838, + 222517240, + 509585421, + 42682533, + -1, + 602956226, + -1, + 190223892, + -1, + 19714482, + -1, + -1, + -1, + 867267216, + 383981856, + 519156901, + 24458765, + -1, + 336032213, + -1, + 850231734, + 227441809, + -1, + 234607985, + 553083019, + -1, + -1, + -1, + 720689782, + 521313836, + 748072371, + -1, + 874388507, + 660857150, + -1, + 542774472, + 902183381, + -1, + 774440702, + -1, + 470749673, + 401271253, + 268099527, + 272482009, + 480069236, + 481983465, + 681016199, + 908187690, + 450807969, + -1, + 774052452, + 145471820, + -1, + -1, + 295241882, + 549555215, + 261861174, + 960966190, + 4186168, + 679646786, + 646884933, + 783275935, + 40733098, + 509382126, + -1, + 37221263, + 737276868, + 586347108, + -1, + 122083859, + -1, + 808101924, + 851444567, + 676317438, + 761691206, + 780235725, + 656480518, + 276479410, + -1, + 70278457, + 865585533, + 437195530, + 773901225, + 650829925, + 679072292, + 503811113, + 465004284, + -1, + 212071378, + -1, + 297338789, + 792741581, + 852787036, + 800258287, + 818809826, + 44225527, + 637121721, + 360642489, + 805771434, + -1, + 614049250, + 824474075, + 601939354, + 723647510, + 736204402, + 40566200, + 669981924, + 433682806, + 456502874, + 96563300, + 259689024, + 324237036, + 305649822, + 169989409, + 895204418, + 441982242, + -1, + 811292378, + 927444167, + -1, + 628386080, + -1, + 72471117, + 889403210, + -1, + 648261190, + -1, + 64519575, + 208441314, + 353471227, + 38308290, + 423266976, + 90142191, + 122886382, + 403108360, + 123259025, + 428486043, + -1, + 157573408, + 297491708, + 735192731, + 717850386, + 485256063, + 467427084, + 587917414, + 842667020, + -1, + 315621597, + 988325090, + 679581605, + -1, + 45459482, + -1, + -1, + 42690819, + 793825933, + -1, + 947443981, + 742569575, + -1, + 122341955, + -1, + -1, + 857798804, + 18679092, + 359617791, + -1, + 535932985, + 537673821, + -1, + 406970501, + 862791385, + -1, + 378197885, + 478660042, + -1, + -1, + -1, + 127798735, + 219865382, + 11074206, + 845018314, + -1, + -1, + -1, + 717654287, + 306737702, + 812982281, + 470681730, + 198679580, + 866941186, + 395734972, + 249197085, + -1, + 291599982, + 745492491, + 16586439, + 375945424, + 775034407, + 859156974, + -1, + -1, + 811319360, + -1, + 31343494, + 825993347, + -1, + -1, + 863219585, + 422390494, + -1, + -1, + 112171807, + 691869641, + 912502793, + 713773264, + 442547915, + 542880240, + -1, + 833174977, + 282768879, + 136712132, + -1, + -1, + 428638594, + -1, + 836875097, + 349797460, + -1, + 390633162, + 684563974, + -1, + 517024523, + 857902700, + -1, + -1, + 874122317, + 894193860, + 844668792, + 780546874, + 357970067, + 588762560, + 116631402, + 402478083, + 883493789, + 301987920, + 253407886, + 280166831, + 338483477, + 658901394, + 814628470, + -1, + -1, + -1, + -1, + 486958945, + 178970987, + 258058663, + -1, + 138933314, + 719546464, + -1, + 743448999, + 283237694, + 467722078, + -1, + -1, + -1, + -1, + 507409266, + -1, + 884604079, + 723651311, + 556863882, + 384470595, + -1, + 47503796, + -1, + 19966823, + 180719504, + 313898167, + 709165015, + 956017071, + 324230231, + -1, + -1, + 82114709, + 492787354, + -1, + 584155151, + -1, + -1, + 135790835, + 580200508, + 193336590, + 734263349, + -1, + 644311502, + 327565581, + 563280010, + 429051460, + 976152125, + -1, + 299107161, + 831840248, + -1, + 861738654, + 217690887, + 437077037, + 810260330, + -1, + -1, + 685056845, + -1, + 280099020, + 833414612, + 739756612, + 768997066, + 193520053, + -1, + 358260932, + -1, + -1, + 307901908, + 909126725, + 597505866, + 50816852, + -1, + -1, + -1, + 138279608, + -1, + 297207586, + 35340423, + 67640137, + 647457556, + 287031425, + 121146392, + -1, + 983113122, + 291376355, + -1, + -1, + 529399740, + 290523878, + 764941965, + 114995227, + 237672167, + 552426995, + -1, + -1, + 172267446, + -1, + -1, + -1, + 312843950, + 39914362, + 464418586, + 367516322, + 739158968, + -1, + 797377438, + 787991561, + -1, + -1, + -1, + 679660086, + 603156522, + 632707059, + 213038606, + -1, + 706036299, + -1, + -1, + -1, + 932054131, + -1, + 533093866, + -1, + -1, + 120935346, + 488710357, + 912675453, + 345919684, + -1, + 790712511, + 771395752, + -1, + -1, + 651556352, + 575326125, + 529544569, + -1, + 417949908, + 473507285, + 780017346, + 942927717, + -1, + 915005310, + -1, + 804442602, + 741406355, + 567271449, + 429782911, + 537497499, + 218349037, + 34307508, + 380532833, + -1, + 797411505, + 296439473, + 689881830, + 583649169, + 247371237, + -1, + 136694185, + -1, + -1, + -1, + 335091660, + 184923713, + -1, + 530723804, + -1, + 317287896, + 345389959, + -1, + -1, + 579183872, + 851370771, + 954899738, + 712880318, + 962614470, + 88302610, + 932471714, + 650566619, + 995916286, + 600084629, + 32010552, + -1, + 951301050, + 698275242, + -1, + 515697462, + -1, + 543933765, + 358844444, + 800483183, + 142290836, + -1, + -1, + -1, + 649823310, + 181670857, + -1, + -1, + 731532104, + 409338579, + 248775154, + -1, + 771778324, + 118318225, + 382589552, + -1, + 375590153, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 87238692, + -1, + 867927489, + -1, + -1, + 905014719, + 84583155, + 714715688, + -1, + 858712420, + 846531951, + 889432645, + 5280827, + -1, + -1, + 126719269, + 322351696, + -1, + -1, + 884752090, + 699822714, + 901861607, + 310052324, + 196417772, + 83757457, + -1, + 980125888, + 429992467, + 459990229, + 760645816, + 735054500, + 52541682, + 490463713, + 231873670, + 944125073, + -1, + 752742243, + 111323690, + 166564571, + 432209351, + 679952878, + 282890048, + 861212684, + 577433086, + -1, + 252093093, + -1, + 209834527, + 630843943, + 724627605, + 493020900, + 991171833, + -1, + -1, + 837988189, + -1, + 395520614, + 545133937, + 850677160, + 723165721, + 29524430, + 454128522, + 56395280, + 513570709, + 944466302, + 481244360, + 247444540, + 892344413, + 197615779, + 891885245, + 219926029, + -1, + 396652979, + 632413393, + 128522372, + 972072625, + 198481863, + -1, + 490469273, + 671163124, + 542659707, + -1, + 616616669, + 434542836, + 487082236, + 274701396, + 230783209, + 604019110, + 800749908, + 326054212, + 780839576, + 787888884, + 74072588, + 763329411, + 102425729, + 770884342, + 388186440, + 480569611, + 116458010, + 507787316, + 863501429, + 673100913, + 746895454, + 662404351, + 268036774, + 253640386, + 842721084, + 939823092, + 31804378, + 533488885, + 878335664, + 329241946, + 733825995, + -1, + 274446126, + -1, + 641941761, + 479375454, + 61963494, + -1, + -1, + -1, + -1, + -1, + 780712037, + 260042257, + -1, + -1, + 757587449, + 534377194, + 120481285, + -1, + -1, + -1, + 285645414, + 300201568, + 941532055, + 592217121, + 629357075, + -1, + 63560849, + 660977493, + 176593454, + 740928472, + 344193425, + 416962950, + 849428271, + 279995899, + 227007890, + 993280382, + 424542177, + -1, + 267153851, + 273751821, + 604793332, + 676474665, + 971786915, + 99324040, + -1, + -1, + 721548678, + -1, + 231498764, + 594221814, + 192672209, + 115842917, + 982113870, + -1, + 208804552, + -1, + -1, + 214639681, + 957728163, + 832470371, + 811959955, + -1, + 504294506, + 546064246, + 722923034, + 456295028, + 899811131, + -1, + 554528295, + 664770835, + 432843438, + 65590233, + 632443715, + 917932335, + -1, + 33852286, + 958214185, + -1, + -1, + -1, + 4672859, + 166049361, + -1, + -1, + -1, + 954861715, + 763431902, + -1, + 939234609, + 119251655, + 736905576, + 58288645, + 691884058, + -1, + 911003846, + 693321515, + 796280386, + -1, + 582214266, + 430245671, + -1, + -1, + 810823428, + -1, + 711324935, + 237437972, + -1, + 214868198, + 498284496, + 574285590, + -1, + 823616534, + 474817922, + 14568702, + 28785102, + 874032568, + 651287833, + -1, + -1, + 588425508, + -1, + -1, + 424851429, + -1, + 58358326, + 977944548, + -1, + -1, + 211864014, + 278585355, + 885250635, + 865870409, + 474984350, + 203998590, + -1, + 347636398, + -1, + 378613597, + 653879755, + 244770263, + -1, + 259428267, + 323226468, + 321175080, + -1, + -1, + 611191395, + -1, + 812135456, + 905245138, + 282013499, + -1, + 63489645, + 586194430, + -1, + -1, + -1, + -1, + 30258675, + 921769438, + 463660626, + -1, + -1, + 282263296, + 378169854, + -1, + 28041256, + 490916142, + 717951968, + -1, + 342758627, + 351493112, + 396697459, + 255515748, + 410325844, + 792851187, + 850747510, + 51384527, + 195419178, + 564808156, + 826828221, + 630061140, + 316865321, + 823050293, + 464584415, + 424475554, + 162467512, + -1, + 10147878, + 795556733, + 383468383, + 104730535, + 259328594, + 480649177, + 282976293, + 906886795, + 715389601, + 877870529, + 294143594, + 627133886, + 191593247, + -1, + 844309437, + 93978646, + 80515643, + 976876213, + 86434767, + -1, + 819943344, + -1, + 403341912, + 651342974, + 882456736, + -1, + 586459378, + 494012806, + 378398871, + 828457079, + 294504307, + 417213397, + 179573797, + 630967551, + 711635832, + 764810323, + 235097332, + -1, + 925551394, + 498615502, + -1, + 454981724, + 73884785, + 32197897, + 945855056, + 198055894, + -1, + 305207054, + -1, + -1, + 378983731, + 83547935, + 746444398, + 697653064, + 823839835, + 187509210, + -1, + -1, + -1, + 423037623, + 16651400, + 99016962, + 975855874, + -1, + 503008828, + -1, + 918709900, + 757754734, + -1, + -1, + 335761255, + -1, + 926900614, + -1, + -1, + 101304601, + 953345517, + 80344951, + 194118985, + 31013321, + -1, + 498105685, + 849265484, + 538679775, + 935492404, + 825375802, + 913956582, + 867924920, + 589467063, + 587328773, + -1, + 545621925, + 96201333, + 748148783, + 355550198, + 283855386, + 474997638, + 660188071, + 971962611, + -1, + -1, + 587511952, + -1, + -1, + 559604341, + -1, + 844517800, + 521771782, + 321598728, + 79866734, + 136386595, + -1, + 777499589, + 347337266, + -1, + -1, + 928939697, + 704625551, + -1, + 354823965, + 82864311, + 360426734, + 657425597, + -1, + 794506858, + 228422119, + -1, + 817275580, + 626767225, + 685848190, + -1, + 643320038, + 308986591, + 193180769, + 417970416, + 185509366, + 703411016, + 532754322, + 428549494, + 121349869, + 139015582, + -1, + -1, + 674393719, + 73712920, + -1, + -1, + 424132313, + 489723152, + -1, + 803594256, + -1, + -1, + 626648426, + 304040863, + 21380155, + 629108518, + 705433050, + 792495707, + 12790762, + 632329067, + 784918823, + 970663033, + 124845420, + 42222704, + -1, + 699976512, + 297118425, + 977792332, + -1, + -1, + -1, + 7354828, + 767921736, + 473930074, + 724269926, + 582835464, + 445220501, + 494681691, + -1, + 897403185, + 196021209, + -1, + 707681722, + 987042720, + 178061716, + -1, + 719785399, + 903124961, + -1, + 921402533, + 389459873, + 568020080, + -1, + -1, + 11510355, + 911952115, + -1, + -1, + 129438013, + 4349998, + 624853761, + 547950532, + -1, + -1, + 529337547, + 911503478, + -1, + 797525350, + -1, + -1, + -1, + -1, + 315107240, + 481743186, + 16591030, + 396159290, + 873387904, + 870627455, + 312966061, + -1, + 438353682, + 606059391, + 214052758, + 8033452, + 925842184, + 2786431, + 396597287, + 62322818, + -1, + 237681184, + 292263929, + 238583552, + -1, + 348386497, + -1, + 884829020, + 431475565, + -1, + 639225597, + 899085494, + 991764882, + -1, + 146791769, + -1, + 305084239, + 590576150, + 150814130, + 713811141, + 167654861, + -1, + 919048070, + -1, + 900533135, + 181774369, + 319073211, + -1, + 43448784, + 694125898, + -1, + 984640665, + 254910150, + 144519653, + -1, + 197176345, + 899309309, + 868310425, + 426903048, + 345630885, + 53192213, + -1, + 881234676, + 48443344, + 259052512, + 907118830, + 405365430, + 913677817, + -1, + -1, + 23913520, + 837603809, + 276008930, + 715457006, + -1, + -1, + 385600809, + 846365550, + 795176485, + 300521705, + -1, + -1, + 623901967, + 695194852, + 488568941, + 815938011, + 179327707, + -1, + -1, + 605284636, + 643507751, + 366995745, + 129831682, + -1, + -1, + 986261509, + -1, + 482462101, + 587120003, + 300244950, + 46747444, + 555933228, + -1, + 979736776, + -1, + -1, + 982586416, + 985274917, + 554509681, + 132467040, + 165210901, + 945949736, + 950503052, + 433615247, + 182778195, + 900005560, + -1, + 175183269, + 701434307, + -1, + -1, + -1, + 684286624, + -1, + 82185601, + 705691979, + 738220375, + 993620952, + 95049876, + 278737001, + 791006747, + -1, + -1, + 866676280, + -1, + 615770110, + 459682986, + 492614917, + -1, + 530103961, + 845274557, + 145383385, + 636540102, + -1, + 175354031, + -1, + 444525886, + 111056630, + -1, + -1, + 202664075, + 275858200, + -1, + -1, + 152932482, + 825317261, + 597243069, + 469925410, + 428644331, + 940613733, + 204513614, + -1, + 975259221, + 29879986, + -1, + -1, + -1, + -1, + 388836008, + -1, + 858631440, + 27544385, + -1, + -1, + -1, + -1, + 892043887, + -1, + -1, + 368012520, + 244754119, + 139591461, + -1, + 245484441, + 23396078, + 300134169, + -1, + 717807626, + 780164891, + 245573675, + 751127224, + 887518240, + 813453502, + 852414725, + -1, + 214342291, + 983466719, + 397558490, + 920267949, + 985959269, + 184429223, + -1, + 554443347, + 138984366, + 251144968, + 665435833, + 482600853, + 673698769, + -1, + -1, + -1, + 918601582, + -1, + 32332004, + 434497785, + -1, + 213074063, + 396551016, + 674882103, + 711047604, + 821074514, + 506546198, + 523542668, + 697441091, + 52598259, + 705529247, + 544311444, + -1, + -1, + 617163316, + 161379021, + 931811155, + 232560729, + 737476360, + -1, + 804559920, + -1, + 662628957, + 182353298, + 301057073, + -1, + 418609577, + 296635565, + 467842330, + -1, + 732406694, + 764367170, + 901107243, + 50139598, + 250260847, + 282692406, + 260028435, + 692229845, + -1, + -1, + 114712568, + -1, + 409884476, + 167704710, + 573094486, + 327842028, + 319487935, + -1, + 214592497, + 606733428, + -1, + 647404869, + 230859689, + 401045751, + -1, + -1, + 395374345, + 32849159, + 861808285, + -1, + 867438660, + 162192384, + -1, + -1, + 146134832, + -1, + 889560956, + 463259098, + 167849123, + 777795727, + -1, + 427165031, + -1, + 388417916, + 146849695, + 338479791, + -1, + 522863266, + 422622095, + 312014048, + 652556602, + 431389284, + 763512778, + 535818818, + 717729868, + 82488934, + 729723299, + 571134291, + 606488773, + 8277539, + 415335615, + -1, + 47066511, + 556786158, + -1, + 833022644, + 433899018, + 473338688, + -1, + 742994840, + 697161920, + 184447090, + 350474456, + 444285869, + 937525406, + 633648, + 576022043, + 191621204, + 73857129, + 536580125, + 400249585, + 221622845, + 362515772, + 342220958, + -1, + 279248273, + 179673147, + 431340559, + 408827881, + 602378233, + 661672685, + -1, + -1, + 459341089, + 377367250, + -1, + 551827662, + -1, + 328807777, + 297326519, + 185231991, + -1, + -1, + 117555391, + 431638366, + 651141558, + 600672836, + 504867723, + -1, + 476730663, + 643536909, + 700189727, + 590018299, + 715873324, + 158517586, + -1, + 646762268, + -1, + -1, + 875191712, + 329570509, + 711538615, + 301394004, + 449069863, + 226933234, + 382061412, + -1, + -1, + 814784149, + -1, + -1, + 981331511, + -1, + 767442783, + 135125011, + 604846689, + 291634104, + 167452348, + 43731777, + 547078629, + 979212880, + 611361738, + 154365810, + 872855111, + 783228027, + 689355831, + 120888423, + 832295695, + 172837576, + 135491539, + -1, + 408670191, + -1, + 122449933, + 626481913, + 630648005, + -1, + -1, + 127842622, + 900560003, + 653888085, + 432636096, + 654754275, + 106289196, + 907921168, + 487018684, + -1, + 540649180, + 555820009, + 866347261, + -1, + 700592909, + 555163127, + 588852269, + 586444531, + -1, + -1, + 282957175, + 622118240, + -1, + -1, + 838647249, + 42262297, + 222377413, + -1, + 258868487, + 952157337, + -1, + 50719934, + -1, + -1, + 188663625, + 157367070, + -1, + -1, + 894770459, + 594389475, + 842562680, + 128241562, + -1, + -1, + -1, + -1, + -1, + 379612902, + 945273325, + 400643148, + 766624038, + 968134901, + 913749313, + 203055322, + -1, + 651917559, + 120348109, + -1, + 100796120, + -1, + 127599693, + 792552760, + 463982443, + 129078979, + 739125245, + 639312982, + -1, + 756247105, + 158157030, + -1, + 644120406, + 279292817, + -1, + 522656744, + 332099911, + 552005247, + -1, + 352752615, + 661438746, + -1, + 586935114, + 253602368, + 686787485, + 30331198, + 272241182, + 437982970, + -1, + 555301872, + 128957161, + 428253975, + -1, + 410634841, + 60402377, + -1, + 284114362, + 17714257, + 553869010, + -1, + 330034785, + 649213537, + 688347802, + 808957838, + 880632122, + -1, + -1, + 249125834, + 758469159, + 839611008, + -1, + 422423962, + -1, + 137800339, + 799242165, + 749128807, + -1, + 877579628, + -1, + 447968418, + 32449383, + 116764622, + 137945176, + 511239426, + -1, + -1, + 121889569, + 903786630, + 741551573, + -1, + -1, + 831460640, + 409481979, + 791146776, + 165935747, + 669106337, + 549886816, + 278592555, + 294913251, + -1, + -1, + 919574099, + 782054865, + -1, + 43543909, + -1, + 204404157, + 327632486, + 540967508, + -1, + -1, + 657500796, + 717035176, + -1, + 944831715, + 197906829, + -1, + 499024015, + 34423322, + -1, + 560273964, + 20017142, + 511381904, + 111682725, + 304552659, + 831092602, + -1, + 924896780, + 836741468, + -1, + 96831801, + 629919941, + -1, + 493128451, + 496985290, + 702049486, + -1, + 270646438, + 868520429, + 923020462, + 395347320, + -1, + 325027037, + 111584483, + -1, + 498128394, + 890198976, + 914197742, + 416752569, + 568824000, + -1, + 257201217, + 730453719, + 431712045, + 289242600, + -1, + 285018627, + 314694137, + 115670092, + 318938189, + 19002277, + 28163980, + -1, + 120290275, + 74412584, + 211894646, + -1, + -1, + -1, + 886806649, + 707833145, + -1, + 429872498, + -1, + 556755764, + 455839296, + 967021568, + -1, + 291051018, + 222520479, + 497525797, + -1, + -1, + 820713257, + 887042384, + 836768412, + -1, + 957089664, + 761460963, + 695843330, + -1, + 530879428, + -1, + 427116334, + 252782152, + -1, + -1, + 332578793, + -1, + -1, + 596267590, + 818573986, + 53067692, + 95891049, + 478293594, + 351985644, + 731044248, + 867874561, + 107237219, + 92138224, + -1, + 450782699, + 88929844, + 13907117, + 372281554, + 539453009, + -1, + 187541739, + 13046643, + 297676177, + 970979787, + 860667105, + 666744740, + 687139392, + -1, + 959218901, + 348939194, + 620568625, + 665414371, + -1, + 869225164, + 141451751, + 928036534, + -1, + 858646172, + 384600213, + 435471109, + 12731982, + 476438410, + 399110559, + 501526504, + 490517593, + 483543615, + 209994652, + 873204508, + 731148373, + 48926687, + 118176696, + 689249195, + -1, + 636310376, + 207994614, + 14469818, + -1, + 133982542, + 556228562, + -1, + -1, + -1, + 125008458, + 642130481, + -1, + 71533323, + -1, + 344924273, + 94939827, + 893715217, + 418237166, + 965391482, + -1, + 572478667, + 277776492, + 711434183, + -1, + 831631772, + -1, + -1, + -1, + 410381040, + 190656405, + 636943583, + 852291394, + 588133276, + -1, + 755395676, + -1, + 248270838, + 542467339, + 689957962, + 241037952, + -1, + 691663777, + -1, + 471788473, + -1, + 838468791, + 316201011, + 982848543, + 744450576, + -1, + 822237847, + 882431767, + -1, + 282744295, + 880225644, + -1, + -1, + -1, + 95136436, + 244298726, + 724684756, + 851337075, + 537260557, + 116434738, + 500834030, + 573579752, + 634889005, + 199431149, + -1, + 855694231, + -1, + 884803369, + -1, + 159872409, + -1, + 818009338, + 947743928, + 112876534, + -1, + 58880135, + -1, + 425258388, + 804752342, + 782848799, + -1, + -1, + 107507993, + -1, + 176958895, + -1, + -1, + -1, + 994899524, + -1, + 265974023, + 82392148, + 734914865, + 165315812, + -1, + 61188858, + -1, + 210095175, + -1, + 789097433, + 695283273, + 692376519, + 156381286, + -1, + 57190511, + 220879230, + 87541043, + 972716546, + 975636403, + 761372175, + 382502640, + -1, + -1, + -1, + -1, + 859169626, + 401609816, + -1, + -1, + -1, + 186355196, + -1, + -1, + -1, + -1, + 768071369, + -1, + 292206417, + 853369918, + -1, + -1, + -1, + 962543147, + -1, + 930170574, + -1, + 328666586, + 135186723, + 912846249, + 351464565, + -1, + 694780675, + 25194395, + 671165824, + 62960083, + 844170887, + 330644827, + 39575180, + 70472234, + 136236460, + 333023215, + 362645301, + 528118949, + 418049745, + 914720482, + -1, + 144188958, + 189548698, + 398628970, + 13556599, + -1, + -1, + 248601126, + 15824233, + -1, + 778043744, + -1, + -1, + 255799992, + 383906566, + 28869076, + 291186363, + 770461271, + -1, + 643710235, + 721913811, + 383598030, + 532977048, + -1, + 115976135, + 232784225, + -1, + -1, + -1, + 937280523, + -1, + 298246965, + 889328959, + 890276269, + -1, + 992686989, + -1, + 28224759, + 483363329, + -1, + -1, + 245936782, + 725824003, + -1, + -1, + -1, + -1, + 443061279, + -1, + 160485285, + 803892418, + -1, + 162399980, + 179859654, + -1, + -1, + 26515890, + 952015091, + -1, + 413568402, + 543024175, + 640551030, + 946705016, + 180444646, + -1, + -1, + 184726898, + -1, + 979919901, + 195180893, + 373721220, + -1, + 221365190, + -1, + 124914996, + 686060098, + 187715871, + 310780957, + 13785845, + -1, + 374192260, + 237470328, + 537127579, + 190616248, + -1, + 546198329, + 377263100, + 407887161, + 775912159, + 441443626, + -1, + 974278034, + 605266640, + 214677215, + -1, + -1, + -1, + 285884715, + 693524344, + 482925399, + 680707932, + 180834039, + 519378818, + -1, + 205874172, + 363938793, + 864559863, + 61610439, + 443239334, + 53347735, + 862919001, + -1, + -1, + 810453327, + 244663335, + 199536345, + 14488204, + -1, + 314506643, + 175449045, + 390962440, + -1, + -1, + 961299569, + 222998553, + 572150174, + 761658666, + 231231322, + 933004124, + 987744358, + 228001213, + 856500242, + 808842720, + 257226106, + -1, + 922170046, + 577973101, + 242945113, + 902461090, + 850074777, + 253827022, + 440607710, + 343283255, + 299967917, + 437057091, + 548341416, + 972942894, + -1, + -1, + 657873280, + 665450129, + -1, + -1, + -1, + 62657951, + 698089125, + -1, + -1, + -1, + 425327301, + 845649946, + -1, + 44055324, + 48280674, + -1, + -1, + 887261215, + -1, + 561770192, + 41702980, + -1, + 668740329, + 985474891, + 943005134, + -1, + 454482636, + 187637607, + -1, + 447071742, + 90809617, + 426962559, + 423530925, + 911287805, + 781045429, + 309893819, + -1, + 891184599, + 781188488, + 505244769, + -1, + 809153281, + -1, + 806872636, + 779677737, + 325796062, + 937634079, + 431224912, + 422907301, + 615085208, + 295315522, + 244042455, + -1, + 933802762, + 97321411, + 104811245, + 362785973, + -1, + -1, + -1, + 958653351, + 43380350, + -1, + -1, + 278013899, + -1, + 677259955, + 635554576, + 86334528, + 610345593, + 411140256, + -1, + 176439039, + -1, + -1, + -1, + -1, + 688640713, + 968367474, + 4115552, + 4646099, + -1, + 410343128, + 496860571, + 999730239, + 277027779, + 619577228, + -1, + -1, + 29424636, + -1, + 758132932, + -1, + 2841972, + -1, + 66805075, + 654597963, + 431011022, + -1, + 418785468, + 295116324, + 515671802, + 966469579, + 609506051, + -1, + -1, + -1, + 509929198, + 645722481, + -1, + 565847318, + 761754118, + 6468449, + -1, + 132364805, + 156028334, + 991626897, + -1, + 394021444, + 625757877, + 785435473, + -1, + -1, + 525796656, + -1, + 378801241, + 264804102, + 933718449, + -1, + 112906387, + 294859481, + -1, + 440840538, + 619158797, + 715075512, + 922086549, + 30244681, + 805527434, + 534926676, + 700429776, + 321366061, + 804458183, + 815578238, + 423209650, + 386366404, + 620677771, + 470274073, + -1, + 516077488, + -1, + 649469109, + 732686934, + -1, + 378063284, + 257659567, + 341763041, + 555624370, + 242797326, + -1, + 655268136, + 458708318, + -1, + 145412178, + 860103877, + 78689599, + 947910270, + 2704884, + -1, + 244782438, + 14475337, + 441099905, + 622648839, + 172168690, + 287114987, + 893518231, + 536356886, + -1, + 651390741, + -1, + 615964924, + -1, + 729589005, + 843516179, + -1, + -1, + 355270727, + -1, + 612208136, + -1, + 85773702, + 772665667, + -1, + -1, + 645410142, + 636084983, + 190702712, + 252015338, + 28109758, + 980596307, + 374632567, + -1, + -1, + -1, + 696589070, + 642583246, + 558404496, + 157522844, + -1, + 331474777, + 436869617, + 552809099, + 837866440, + 373201972, + -1, + 785122219, + 562658475, + 704409983, + 714981122, + 184225004, + -1, + 999694085, + -1, + 139625344, + 362752061, + -1, + 788170060, + -1, + 832958859, + 114680925, + 486414354, + 365750445, + -1, + 377594081, + -1, + 200922190, + 111199052, + 502176057, + 111726688, + -1, + 222188659, + 436489591, + -1, + 232391235, + 923059550, + -1, + 711670300, + 646349949, + 533191040, + 661880689, + -1, + 226905004, + -1, + 856832154, + 57314894, + 340150939, + 784821291, + 978267442, + 766971085, + 804457896, + 965606505, + 628899765, + 253540814, + -1, + 75486933, + -1, + -1, + 426303499, + 384919361, + 458288007, + 58698908, + -1, + -1, + 165365199, + 481238449, + -1, + -1, + 887722634, + -1, + 768483268, + 733217252, + 899554446, + -1, + 138403367, + -1, + -1, + 434053508, + 369725204, + 490594786, + 565447945, + 772706067, + -1, + 61537436, + -1, + -1, + 914640676, + -1, + -1, + 507815102, + 30365367, + 969828532, + 249352589, + 466020788, + 16795413, + -1, + -1, + -1, + -1, + 279593637, + 756393610, + 165374169, + -1, + 83029087, + -1, + 55188748, + -1, + 290594525, + -1, + -1, + 730350413, + 759052654, + 476069532, + 382551044, + 846557351, + 77775457, + 711296601, + 208634108, + 776984134, + -1, + 645958157, + 856127642, + 449540655, + -1, + 206478067, + 366413439, + -1, + 171757968, + 381141324, + 970523639, + -1, + 124958062, + 221541628, + 508264476, + 131514192, + -1, + 219437575, + 757214684, + 976008940, + 263749831, + 401219257, + -1, + 436716194, + 750747226, + 752910752, + -1, + -1, + 305887555, + -1, + 364508786, + 168377872, + -1, + 228198906, + 941619348, + -1, + 763013192, + -1, + -1, + 8298334, + 786198083, + 551726432, + 39051034, + 706519279, + 932445070, + 898158069, + 554802402, + 147601359, + 909261315, + 878307200, + 507100118, + 818697431, + 707362312, + -1, + 870327250, + 727279307, + 832053607, + 715081021, + -1, + 319437136, + 648810002, + 785775175, + -1, + 925837100, + 455355290, + 202545002, + 969421549, + 383263319, + -1, + -1, + 915353333, + 374193258, + 340740744, + 367291542, + 941657646, + 640845956, + 436746268, + -1, + 154308088, + 596949967, + 1129319, + -1, + 776738999, + -1, + -1, + 812831860, + 606713438, + -1, + -1, + -1, + -1, + 276388125, + 120276604, + 92501619, + 515924895, + 605770520, + 77843597, + 807117959, + -1, + -1, + 727055589, + 702104886, + 77130430, + 166267138, + -1, + -1, + 104800479, + -1, + 996350177, + 470101333, + -1, + 519033851, + -1, + 178118436, + 844009233, + 743437823, + 966844262, + 751838620, + 164117941, + -1, + -1, + -1, + 429389816, + 449780817, + 396589235, + 50297180, + 513723287, + 956784482, + 149662331, + 415907208, + -1, + -1, + -1, + 132196626, + 728208904, + 188631998, + 267663003, + 540715628, + 37676980, + -1, + 110821465, + -1, + 681630639, + 486645784, + 377563971, + -1, + 214854671, + 398671927, + 997588509, + 702082956, + 672338127, + 482921364, + -1, + -1, + 755065568, + 880401707, + 652415520, + 798424777, + 94428304, + -1, + 635720974, + 620164091, + 540143951, + 776263771, + 612751286, + 329606969, + 919338838, + 902606942, + 806087175, + 727392429, + 325216076, + 377264545, + 575184294, + 925052005, + 606040866, + 604455512, + -1, + 973779048, + -1, + 672094455, + 757151760, + 178184193, + -1, + 83612264, + 372561049, + 452930627, + 951080274, + 815492188, + -1, + -1, + 490618469, + 349670525, + 615216187, + 220462262, + 144459453, + 997798917, + 298391950, + 676686413, + -1, + 960961329, + 698773490, + 652263412, + -1, + 944341710, + 78356723, + 520871532, + -1, + 580988288, + 921935015, + 119581115, + 604538957, + 38587449, + 708577419, + -1, + -1, + 307292116, + 430494333, + 205171822, + -1, + -1, + 332656810, + 960498994, + 252956556, + 805360720, + 369743593, + -1, + -1, + 834264914, + -1, + 305250088, + -1, + 769740779, + 51924894, + 745835556, + -1, + 585082798, + 993141015, + 894264508, + 497009432, + 995704368, + -1, + -1, + 361121296, + 390780859, + -1, + 610815574, + 508120880, + 399569813, + 727973269, + 863875985, + -1, + 716502780, + 546385289, + 256399151, + 558573128, + 962527823, + 891051651, + 419293551, + 375831937, + 781443419, + 156587004, + -1, + 437892269, + 644928431, + 719097414, + 77428818, + -1, + 891129563, + 647674661, + -1, + -1, + 887856845, + -1, + 610499262, + 762663671, + 496506796, + 647720780, + 579367140, + 811590506, + 692210336, + 619475263, + 582677919, + 210735195, + 216156227, + -1, + 362702435, + 420121237, + -1, + 398149999, + 846397792, + -1, + 897854034, + -1, + 543662665, + 437160888, + -1, + -1, + 991857192, + 132893765, + 816269046, + 433755752, + 413347055, + -1, + 147668700, + -1, + -1, + 384050737, + 110274580, + 843162230, + 617923513, + 731030169, + 597419883, + 52556142, + -1, + 117520261, + -1, + 417807354, + 285794660, + 267148053, + 296178740, + 827336206, + -1, + 156464060, + 989273856, + -1, + 468423139, + 419207349, + 425930774, + 593784814, + 130145309, + -1, + -1, + 407446210, + 616650872, + 141384266, + 817961626, + 210753880, + 563665549, + 183317349, + 991623497, + 522651971, + 93388661, + 707551943, + -1, + 734628935, + 788572015, + 935920014, + 689423802, + 897350800, + 6476270, + 434062652, + 324671633, + 257475901, + 985890167, + -1, + 971663960, + 155839207, + 487602766, + 448648829, + 915570992, + -1, + 524698940, + 178649312, + 915287105, + 899755959, + -1, + 39593726, + 839620171, + -1, + 664904732, + -1, + 499454183, + 577545786, + -1, + 188264801, + 561043085, + 941920899, + 352887851, + -1, + 841248551, + -1, + 692775220, + -1, + 862219861, + 732207097, + -1, + 470853066, + 39676220, + 191046726, + -1, + -1, + 182584407, + 550030984, + 929357513, + 297168564, + 943860158, + -1, + 559220371, + 39044014, + 44509402, + 875936062, + 796141686, + 48498616, + 666039143, + 46632226, + 339670024, + 444699178, + 541759708, + -1, + -1, + -1, + -1, + -1, + 377799446, + 271596814, + 461248091, + 122913360, + 967040548, + 387626093, + 343571548, + 450548478, + -1, + 349815607, + 313350880, + 479318299, + -1, + 881021594, + 983966740, + -1, + -1, + -1, + 317210928, + -1, + 370413802, + 450728205, + 467893774, + -1, + 3365073, + -1, + 530333806, + -1, + 923285602, + 46097909, + -1, + -1, + -1, + 56925215, + 127212533, + 874570327, + 918877560, + 430405969, + 291418064, + -1, + 398763214, + -1, + -1, + 335734743, + 369920084, + 381483805, + 100687495, + 390144522, + -1, + 572039633, + 970395785, + -1, + 332627138, + 628035896, + 976774954, + 897941406, + -1, + 549969595, + -1, + 694194928, + 558192435, + 996008073, + 815676580, + -1, + 503219246, + -1, + 642011367, + 873603967, + -1, + 396167890, + 151477457, + 690509229, + -1, + 451682456, + 877699302, + -1, + -1, + 355253973, + 51661964, + -1, + 723172047, + 887632209, + 8736677, + -1, + 587380242, + 582882897, + -1, + -1, + 996505270, + -1, + -1, + -1, + 921247732, + 507839666, + 482484176, + -1, + 372095036, + 551204759, + 589768273, + 836822304, + 319880955, + 841309711, + 78467079, + 168982770, + 774898731, + -1, + 898633673, + 652996746, + 393351202, + 418283352, + 981765688, + 588316035, + 136653274, + 402292634, + -1, + 39656621, + 285790873, + 725436598, + 542699404, + 644366136, + 286118304, + -1, + 893634996, + 423982608, + 766269535, + 721468251, + -1, + 834158399, + 304002037, + -1, + 865064749, + 944564195, + 18745565, + 854956614, + 763363467, + 223826695, + -1, + 105884159, + 809914243, + 597702395, + 160967992, + 144223675, + 675693231, + -1, + 652237344, + 244368598, + 827203649, + 400172136, + -1, + 832975863, + 690009331, + -1, + 548675752, + 406007038, + 57076286, + 981060394, + 895656378, + 426382020, + -1, + 297331309, + -1, + -1, + 46024376, + 438567401, + 402692425, + 4529373, + 112086219, + 504168433, + -1, + -1, + 229959936, + 253055383, + -1, + 841196991, + -1, + 696145614, + 110512681, + 380753199, + 675778390, + 362380126, + -1, + 631687307, + 258545903, + -1, + 552524587, + 441293073, + 43634056, + 73336337, + 241850937, + 982802460, + 280734302, + 409085662, + 877779796, + 828576323, + -1, + 527186664, + -1, + 589440573, + -1, + -1, + 142603840, + 948693776, + 543840710, + 938423176, + 646797378, + -1, + -1, + -1, + 25308900, + 819345865, + 55260732, + 978595747, + 796055596, + -1, + 111843304, + -1, + -1, + -1, + 896783628, + -1, + -1, + 979717737, + 54955811, + 341446697, + 449212834, + 540822266, + 825017734, + 650602990, + 63707984, + -1, + -1, + 351151599, + 208608077, + 861544019, + 626015225, + 719713729, + 501642347, + 955571828, + 154258982, + 787999297, + -1, + 836928138, + -1, + 959191222, + 148823324, + -1, + -1, + 839354242, + 446006185, + 82755814, + 997435913, + 770802870, + 529512681, + -1, + -1, + 316736580, + 635154924, + 977497960, + 274882333, + 449953933, + 879451985, + 694367363, + 813128360, + 678555804, + -1, + 250323358, + 959193198, + 558828227, + 93609636, + -1, + 284587791, + 394948705, + 545137987, + -1, + 323950464, + 751329000, + 58200829, + 79157861, + -1, + 300895051, + 515931429, + 249453754, + 997474573, + -1, + -1, + 199290521, + 823560967, + -1, + 517049285, + -1, + 918378478, + 770923850, + -1, + 214162573, + 40792038, + 75870820, + 815907193, + 408351, + 15004533, + -1, + -1, + 85762398, + 875065549, + -1, + 496083123, + -1, + -1, + -1, + -1, + 712358658, + 263573273, + -1, + 897695401, + 38938926, + 569698578, + 616770869, + 566179050, + 337598901, + 896740136, + -1, + 498593930, + 25816746, + 913355099, + -1, + 912681667, + -1, + 911826216, + 709501375, + 424261481, + 382329028, + 222747697, + 139801394, + -1, + 739428364, + 390662768, + 511850536, + 577706035, + 608904658, + -1, + 628975041, + 933984459, + 928704761, + 707221846, + 928225978, + -1, + 908970797, + 894775173, + 884879937, + 185539817, + 466475137, + 865994422, + 501802084, + 584983724, + 602005381, + 340453139, + -1, + 543643716, + 447128983, + 452863521, + 404315880, + 529128334, + -1, + -1, + -1, + 74036142, + 832515534, + 632010240, + 827190471, + 431982570, + 49272910, + 896639142, + 890015250, + 912777219, + 404724935, + 18010443, + 701360172, + 219282772, + 2328330, + 612548606, + 7067822, + 284651399, + -1, + 391383514, + 463677812, + 396808518, + -1, + 615128106, + 369517439, + 812809354, + 370587198, + 579380088, + -1, + 717412570, + 910609515, + 87476628, + 927673214, + -1, + 880987269, + 457518216, + 363809064, + 45360707, + 322739196, + 588760185, + -1, + 68217942, + -1, + -1, + 584375874, + 914144344, + 590133124, + 697654257, + -1, + 58800580, + 167374225, + -1, + -1, + -1, + 373773371, + 145091020, + -1, + 442970415, + 50376550, + 615820601, + 395585580, + 711569353, + -1, + -1, + 87931284, + 842238648, + 661109600, + 173184886, + -1, + 3526670, + 657698452, + 429399624, + 222774158, + 688427422, + 969187445, + -1, + 605088787, + -1, + -1, + 777778016, + 417612867, + 600623368, + 59623390, + 917314459, + 278403661, + 477255766, + 492594762, + 89991985, + -1, + 314733216, + 311322623, + 991190655, + 512135418, + 625840225, + 583029552, + 860402357, + 776493371, + 314696654, + -1, + 121987564, + -1, + -1, + 260826700, + 840344673, + 465984101, + -1, + 750938209, + 869007561, + 972069243, + 791540215, + 612821385, + 988868057, + 331588922, + 484366652, + 599121338, + 358119216, + 378680990, + 731635445, + 965850401, + 18869286, + 439427709, + -1, + -1, + 592787137, + -1, + 697472642, + -1, + -1, + 682855970, + -1, + 324565981, + 804481930, + 337656389, + -1, + 30977642, + 526741204, + 634868578, + 589594101, + 161563682, + 895222490, + 528314069, + 264321310, + 634329811, + -1, + 527292712, + 960095959, + 709580621, + -1, + 452835622, + 995622019, + 196702219, + -1, + 765216802, + 790747237, + 770353001, + 458538087, + -1, + -1, + -1, + -1, + 629770042, + -1, + 943070553, + 568385337, + 158284738, + -1, + 423126840, + -1, + 841259972, + 341535018, + -1, + 632962198, + 501580588, + 726690852, + -1, + 40651296, + -1, + 315794157, + 949217923, + -1, + 154960046, + -1, + 3227784, + 855845892, + -1, + 982777284, + -1, + -1, + 637777453, + -1, + 252033035, + 917173853, + 836463171, + -1, + 520382051, + -1, + 86345915, + 733009570, + 880717957, + 186350787, + 27168734, + 582306846, + 204238598, + -1, + -1, + 753525717, + 708596730, + 369494873, + 613625621, + 437575343, + 269259258, + 158449836, + 641363867, + 78124514, + 273301261, + -1, + 221329156, + 146919186, + -1, + 734748731, + 69137318, + -1, + 812827488, + 63743144, + 181976942, + 656754998, + -1, + -1, + -1, + 827453931, + 24926689, + -1, + -1, + -1, + 204150106, + 287446747, + 53431639, + -1, + -1, + -1, + -1, + 389093116, + -1, + -1, + 595686618, + 166276005, + 577807921, + 107996993, + 951335532, + 459760456, + -1, + 877743407, + 464072457, + -1, + -1, + -1, + 209690146, + 951893233, + 67195360, + 863310032, + 280004374, + 932579456, + 716009923, + 130731058, + 815603041, + 653602078, + 395169769, + 483680372, + -1, + 42406091, + 854276467, + -1, + 934940131, + -1, + 188449593, + 6188455, + 883431618, + 991467187, + -1, + 48167160, + -1, + 745088381, + 119303539, + 769102197, + 869884812, + -1, + 674734355, + 805395658, + 687588136, + 171821102, + 679549130, + 860321560, + 391774597, + 534768506, + -1, + 901915916, + 983654979, + 904220562, + 665863856, + 976345618, + 637524024, + 538150200, + 457466159, + 772609467, + -1, + 263879341, + 123743083, + 164016879, + 306009344, + 817870788, + 193470143, + -1, + 81810293, + 568369701, + 537673865, + 949609041, + 117913300, + 8150402, + 406947317, + 448497164, + 173133839, + 71567187, + -1, + -1, + 520197061, + -1, + -1, + 788438088, + 453242803, + 981375701, + 965507416, + 62847256, + 786539952, + -1, + -1, + 94919539, + -1, + -1, + 2838190, + 263941428, + 698101723, + -1, + 384443959, + -1, + 692824790, + 602750729, + -1, + -1, + -1, + 230684184, + 851870657, + 923167393, + -1, + -1, + 136500528, + 85824620, + 6133123, + 784115238, + 244924056, + 419093017, + -1, + -1, + 539423528, + -1, + 559135345, + 401905620, + 917326138, + 935651903, + 852779314, + 338097376, + 785499999, + 813301708, + 739520646, + 355581270, + 961879023, + 84328013, + 689863600, + -1, + 547104693, + 12489587, + 626496080, + 951922739, + -1, + 115449303, + -1, + -1, + 578099090, + 424008998, + -1, + 400478952, + 112592284, + 277402038, + 745739402, + 236452199, + 941018399, + 224699633, + 685217199, + 583237789, + 869159583, + 588649743, + 50454792, + 531117559, + 368927175, + 686679048, + 960965134, + 339641949, + 255163813, + -1, + -1, + 976290949, + 225020699, + 504219841, + -1, + 900992395, + 672939173, + 583371600, + -1, + -1, + 758483670, + 11979474, + 285132938, + 5622096, + 484679829, + 762855543, + 713365628, + 386634125, + 235531671, + 212326465, + 586619742, + 968360680, + 845501290, + 408851592, + -1, + -1, + 242790229, + -1, + 870382776, + -1, + -1, + 249357052, + -1, + 755953422, + -1, + 744301307, + 569890823, + 184566139, + -1, + 648920396, + 551655078, + 330045695, + 650651820, + 263967997, + -1, + 671528654, + 13414544, + -1, + 743564129, + -1, + 832476167, + -1, + 780326137, + 964920030, + -1, + 564474890, + 761155225, + 892909156, + -1, + 747880382, + 332646531, + 363847359, + -1, + 958187936, + -1, + 117028158, + 174251928, + 309766578, + 627165646, + 159135591, + 332185835, + -1, + 71791035, + -1, + -1, + 367066410, + -1, + 725811418, + 323757371, + 968722285, + 753587136, + -1, + 799965712, + 158391226, + 629335418, + 57774605, + -1, + -1, + -1, + 388832966, + 647486433, + -1, + 786124576, + 356906975, + -1, + 61546139, + -1, + 305272490, + -1, + -1, + 249934822, + 541727458, + 232402007, + 407906574, + 345504687, + 609412082, + 33287026, + 995512258, + 981216902, + 204216190, + -1, + 71902944, + 132010139, + 780747567, + -1, + -1, + -1, + 601577089, + -1, + 934582399, + 35965024, + -1, + 221252937, + 899458176, + 572248458, + 36224327, + 943953893, + 251441873, + -1, + 664642817, + -1, + 867578945, + 99248335, + -1, + 671947481, + 787377508, + 689718651, + 495942286, + 249858044, + 422080783, + -1, + -1, + 130884145, + 375746596, + 900190813, + 320307050, + -1, + -1, + -1, + 942966931, + 984985503, + 297318774, + 778739136, + 639832135, + 894415603, + -1, + -1, + 342420686, + 552905057, + 183624706, + -1, + -1, + 481608339, + 687462833, + -1, + 810329132, + 456441464, + 351608090, + -1, + 501647170, + -1, + -1, + 749359123, + -1, + -1, + 251739035, + 804599011, + 514020884, + 653703609, + 624281074, + 794522334, + 625387144, + -1, + 159443224, + 229917772, + 221627984, + 980954534, + -1, + 382976988, + 884833249, + -1, + 166236431, + 805356458, + 165747117, + -1, + -1, + 540284738, + 875682671, + 272731551, + 841301957, + -1, + 424102068, + 917382811, + 478688219, + 242279582, + -1, + -1, + 646453363, + 246069226, + -1, + 731348039, + 807451032, + -1, + 224984492, + 549884955, + -1, + 452692431, + 924808459, + 904112508, + -1, + 17269389, + 803441680, + 801865776, + 433655467, + 96055852, + 34839207, + 537950973, + 998574758, + 10241740, + -1, + -1, + -1, + 531303893, + 593918174, + 209221654, + 746108131, + 976931611, + 998474480, + 948003340, + 292960022, + 358095714, + 601617815, + 704910906, + -1, + 596152866, + -1, + 47987014, + 873519908, + 330469946, + 483919178, + -1, + 570968650, + 235108363, + 660034887, + 959673429, + 639152859, + 966434744, + 296674559, + 87415093, + 653414857, + 872363521, + 968381852, + 279085119, + -1, + 495634341, + -1, + 35517731, + 846767449, + 666568228, + 238055354, + -1, + 816448250, + 548750336, + -1, + -1, + 855317825, + 608672811, + -1, + 674448150, + 457469558, + -1, + 902753473, + 732052064, + 980970074, + 899691253, + -1, + 610811215, + 788789744, + 666324766, + 711010217, + 356297303, + -1, + 490298550, + 761636938, + -1, + -1, + -1, + -1, + 880348545, + -1, + 35292026, + -1, + 747710725, + 579677648, + 136270167, + 457729496, + 816257613, + 517121167, + 793578195, + 239801939, + 384472724, + 312723793, + 276788001, + 625568149, + 553983464, + 68418256, + 999805679, + 905046317, + -1, + -1, + -1, + -1, + 683068320, + 456610885, + -1, + 35094333, + 925302923, + 330817196, + 109174754, + 802660053, + -1, + 432395511, + 388964778, + 595770448, + -1, + 575583296, + 312562242, + 34544826, + 208304019, + 787787835, + 112454492, + 955926344, + 121670611, + 681457006, + 52527325, + 750266027, + 936490271, + 856115649, + 411405168, + 320337310, + 172794081, + 189280330, + -1, + 703712881, + -1, + 490567027, + 39850484, + 803308877, + 273026230, + 542219068, + 367852098, + -1, + -1, + -1, + -1, + 734228096, + 435163791, + -1, + 178086847, + 655650856, + -1, + 688346095, + 605187899, + 132790986, + -1, + 333023747, + 995881003, + -1, + 886505856, + 769375725, + 124388474, + 595079510, + 421786434, + 557389949, + 31519961, + 762868071, + 272078921, + -1, + 754126415, + 472244152, + -1, + -1, + 224253213, + 398624648, + 742437947, + 379278284, + -1, + 537058541, + 277619901, + -1, + 95629512, + 344780512, + 333602117, + 89869162, + -1, + -1, + 98924422, + -1, + -1, + 923743627, + 842723847, + -1, + 482224920, + -1, + -1, + 863340370, + 848743806, + 132069115, + 458923152, + 634981236, + 996793355, + -1, + 629904949, + -1, + 812974239, + -1, + 856971808, + 860619077, + 617401748, + 663731170, + -1, + -1, + 764548909, + 223961357, + 851962634, + 339838344, + 323204121, + -1, + 295998526, + 37319312, + 779931657, + 237749057, + 763092071, + -1, + 843586588, + 830650948, + -1, + 38813170, + -1, + 228096939, + -1, + -1, + -1, + 564735537, + 321612539, + -1, + 641207737, + 390754942, + 125549713, + 161473077, + -1, + -1, + -1, + -1, + 845808185, + -1, + 875998059, + 122614420, + 151473777, + 224333163, + 911235093, + 639904264, + 786684863, + 887616274, + -1, + 283455273, + 166617364, + 929993475, + 96992597, + 455237302, + 892431529, + 57366852, + -1, + 299772672, + 819481527, + -1, + 778739133, + 68988773, + -1, + 268073954, + 553213092, + -1, + -1, + 989565454, + -1, + 320388069, + 142726606, + 214998676, + -1, + 703712283, + -1, + 734469190, + 836943126, + 932981727, + -1, + 467907670, + -1, + -1, + 378022210, + -1, + 780970372, + 818940529, + 257205764, + 475551865, + 113873802, + 894968028, + 416718995, + -1, + 854381839, + -1, + -1, + 797222669, + 458950610, + 487220454, + -1, + 574972935, + -1, + 831363509, + -1, + 979417369, + 977828863, + 718455697, + 924441924, + -1, + 405536759, + 326548698, + 616383899, + 671783948, + -1, + 115602495, + 33250628, + 334849338, + 926150404, + 103041281, + -1, + -1, + -1, + 80569193, + 613453020, + 179758906, + -1, + -1, + 456515658, + -1, + 650964962, + 232687164, + 888685170, + -1, + 405388874, + -1, + 921780429, + -1, + 599325273, + -1, + 304014112, + 524881637, + 374427300, + 421197367, + 154962984, + 951135535, + -1, + -1, + 611267294, + 233898074, + 307255198, + -1, + 796949277, + 524647921, + 224847990, + 137048696, + 575050650, + 227580429, + 252006839, + 319125162, + 216633460, + -1, + -1, + 216824361, + 342057221, + 674306364, + 863989934, + 151186087, + 569894653, + 261193980, + 569864832, + 935603750, + -1, + 821595680, + 980528457, + 978228920, + 251076468, + 602932693, + 929925658, + 988639185, + 569514742, + 251613709, + -1, + -1, + 401801726, + 625424355, + 152472416, + 28209594, + -1, + 342281219, + 74363152, + -1, + 442197295, + 650290909, + 29244505, + -1, + -1, + 237733539, + 967270247, + -1, + 807002144, + 969520927, + -1, + 196628929, + 862263782, + -1, + -1, + 526463974, + -1, + -1, + -1, + 263363529, + 565990212, + 634096858, + 159583592, + -1, + 380325106, + 992476247, + 898148354, + -1, + -1, + -1, + 561807986, + -1, + -1, + 223845859, + 592047010, + -1, + -1, + 54400840, + 286490136, + -1, + 473410375, + 630942207, + 709485517, + -1, + 793680548, + -1, + -1, + -1, + -1, + 412296027, + 294817053, + 156453128, + -1, + 193157266, + -1, + 638607272, + 426809898, + 461175021, + 293425263, + 794959725, + -1, + 253372270, + -1, + 703632029, + 71292651, + 425949478, + -1, + 923029247, + 46631991, + 532528538, + -1, + 451249102, + 756096133, + 911658195, + -1, + 152309372, + -1, + -1, + -1, + 27137116, + 685323871, + 821792874, + -1, + 104355994, + -1, + 217212308, + 538772466, + 153064933, + -1, + 826048335, + 212959104, + -1, + -1, + 733531623, + 902980629, + 789496686, + 386200848, + 754138419, + 370608200, + 144172327, + 335344418, + 197027504, + 646793172, + 53632888, + 172205381, + -1, + 397190260, + -1, + 470281845, + -1, + 151332854, + -1, + 774640949, + 758225423, + 386157718, + 43206195, + 71672336, + 810919236, + 782004783, + 38188184, + 515685597, + 67641599, + 292208998, + 74722821, + -1, + 315336593, + 833738552, + -1, + 369298322, + 352958368, + 680541039, + 2747528, + -1, + 968585736, + -1, + -1, + -1, + 293647226, + 746498780, + 993086311, + -1, + 757837252, + 493775557, + 346908594, + -1, + -1, + 365581284, + -1, + 127879626, + 336719723, + -1, + 842965480, + 846967375, + 443366575, + -1, + 819910605, + -1, + 759299974, + -1, + 266686822, + -1, + 816829099, + 37058280, + 942898531, + -1, + 173223831, + 926180527, + 571569550, + 576702278, + 203486887, + 158349225, + -1, + -1, + -1, + -1, + 799188026, + 249210714, + 78877692, + 70197527, + 317389632, + -1, + -1, + -1, + 613400128, + 770800059, + 988736581, + 673302962, + 920245166, + 321386554, + 568822567, + 191935380, + -1, + -1, + -1, + -1, + -1, + 353907379, + -1, + -1, + 72216495, + 345594605, + 665912050, + 757586067, + 96998360, + 231688274, + 989910194, + -1, + -1, + 914849784, + -1, + 220858915, + -1, + 97631973, + -1, + -1, + 122129654, + -1, + 109325846, + -1, + 133710705, + 945167716, + 92637970, + -1, + 226060042, + -1, + 239599512, + 259032456, + 794501963, + 264586916, + 570029943, + 712881100, + 376267519, + -1, + 238198044, + 327047959, + 170945184, + 775194540, + 879792527, + 300049922, + 555355731, + 739435140, + 811343022, + 399959366, + -1, + 645059086, + 399374673, + 657450620, + -1, + -1, + 863737669, + 195206185, + 41616685, + 988443354, + 542243867, + 76954463, + -1, + 271605980, + -1, + 721835377, + 440777153, + 521878244, + 432477217, + 985138053, + 95657151, + -1, + -1, + 348404682, + -1, + 32166943, + 210456122, + 405207742, + 622844934, + -1, + 149917435, + -1, + 818018335, + 810747842, + 979836062, + 108183787, + -1, + 212043244, + 420911521, + 410430653, + 631471993, + 618229112, + -1, + 340148892, + 407825106, + -1, + 579255785, + -1, + -1, + 336100020, + 470417867, + -1, + 155552395, + 623718434, + -1, + -1, + 311406951, + -1, + 901525564, + -1, + 896860350, + -1, + 469479191, + 495990900, + 551716020, + -1, + 808733321, + -1, + 231448700, + 204496115, + 52668897, + -1, + 483553367, + 530241703, + 754962868, + 114521379, + -1, + 591771339, + 807449262, + 68515538, + 923339236, + 373065095, + -1, + -1, + 875048506, + 64258124, + -1, + 676269899, + 992428670, + 521616969, + -1, + 15451174, + 966209746, + 120680622, + -1, + 19850002, + -1, + -1, + 717234856, + 773236321, + 503642093, + 382732460, + 548479996, + 505093705, + 661248373, + 702122271, + 676596043, + -1, + -1, + -1, + -1, + 325945148, + 143560401, + 659605849, + 320300429, + 283469354, + 211996078, + 117680043, + 19063713, + 970054439, + 394897172, + -1, + 657585481, + -1, + -1, + -1, + 675544385, + 492896492, + -1, + -1, + 616398458, + 152333795, + 488188776, + 813057987, + -1, + 851092637, + 167972841, + 889433645, + -1, + -1, + 981605127, + 972584360, + 436091756, + 192212876, + -1, + 449960174, + 136194612, + 693578016, + -1, + -1, + 550778083, + -1, + -1, + -1, + 41116354, + 653941877, + 793032622, + 67766929, + 958432928, + 452178344, + -1, + 415701031, + 984578950, + -1, + 892655353, + 326514280, + 2981584, + 104291462, + 134818625, + -1, + -1, + 766119481, + 886900735, + -1, + 264098011, + -1, + -1, + 646380421, + 20652232, + 222302198, + -1, + 99805573, + 553793413, + -1, + 788670609, + 909345222, + 928478953, + 656746609, + 882774098, + 197440827, + 151427789, + 843505797, + 118841842, + 655531301, + -1, + -1, + 930764524, + -1, + 507667698, + -1, + -1, + -1, + -1, + 169650338, + 455836811, + 11914873, + 418610851, + 427174103, + -1, + -1, + 122063820, + 155678499, + -1, + 998393737, + -1, + 50000541, + -1, + 79562071, + 873425020, + 83160872, + 161995646, + 883661881, + 473984563, + -1, + -1, + 223047903, + 887323598, + 691324456, + 69859714, + 924994792, + 259801024, + 921447661, + 389398398, + 359716005, + 448931579, + 765737796, + -1, + 318760885, + 768252980, + 96190958, + 50800036, + -1, + -1, + -1, + -1, + 701199468, + -1, + 727465054, + 479251115, + 422500046, + 134046357, + 512756873, + -1, + 921901152, + 595556935, + -1, + 76159842, + 420459310, + 840245161, + -1, + 606680783, + 177128669, + -1, + 701379822, + 258902545, + 994541010, + 649913318, + -1, + 233960046, + 160310247, + -1, + 220089918, + 42415954, + 781781145, + 69907814, + -1, + 29442048, + 278768363, + -1, + 343371839, + 293411477, + -1, + 752477394, + 686464919, + 74032325, + 162605749, + 638904731, + 940300504, + 988675488, + 521719842, + 558361663, + 337224211, + -1, + 504882801, + -1, + 123400982, + 796567959, + -1, + -1, + -1, + -1, + -1, + 893251427, + 536191064, + 26252321, + 923944652, + -1, + 345242628, + 208898072, + 108572909, + 330351078, + -1, + 182645389, + 183589808, + 862868260, + 902478821, + 100408500, + 266507966, + 279107022, + 472188147, + 615668267, + -1, + 738434536, + 250819650, + 253086873, + -1, + 62959329, + 509430456, + 191776796, + -1, + 639342667, + -1, + 805466834, + -1, + -1, + 487636377, + 573272174, + 907846786, + 197653282, + 634805794, + -1, + 859022333, + 217019397, + -1, + 646896939, + 476646196, + 256144971, + 395988564, + 374592532, + 988326864, + -1, + 42288797, + -1, + 377737039, + 989068881, + -1, + -1, + 828473102, + 411591972, + 907481768, + 77609380, + 707692166, + -1, + 192210404, + -1, + 806270946, + -1, + 337536164, + -1, + 820422584, + -1, + 389859803, + -1, + -1, + 802135789, + -1, + 325401881, + -1, + 209505132, + -1, + -1, + 934750237, + 122613548, + 576330948, + 585467350, + 143802280, + -1, + -1, + 455366871, + -1, + 730102717, + 377728151, + -1, + 383161604, + -1, + -1, + 375276003, + 695027200, + 112592566, + 2755472, + -1, + 528727632, + -1, + 316998041, + 299329771, + 767525498, + 865392423, + 385191426, + 913176368, + 823010100, + -1, + -1, + 920481951, + 177000097, + -1, + 512471214, + 150970432, + 372158091, + 115065122, + 788504259, + 484540506, + 537172878, + 229473680, + -1, + -1, + -1, + -1, + 460001425, + -1, + -1, + 107794256, + 587286168, + 678297240, + 86314550, + 986566876, + -1, + 412458049, + -1, + 154543723, + -1, + 383371832, + 815074081, + -1, + 884047541, + 34641639, + 544576539, + -1, + -1, + 350551309, + -1, + -1, + -1, + -1, + 816872213, + 980978110, + 486786660, + -1, + -1, + 35532311, + -1, + 861371278, + 493066959, + -1, + 369170352, + 554826553, + 398762528, + 547933114, + 173493657, + -1, + 168682030, + -1, + 815990693, + 567543783, + 341123094, + -1, + 559171925, + 416792939, + 739290748, + -1, + -1, + 872125765, + 636237547, + -1, + 925592425, + 735031185, + -1, + 344498084, + 498557163, + -1, + 297799338, + 162207461, + -1, + 212471578, + -1, + 680302935, + 683414156, + -1, + 40188865, + 209328488, + 305597511, + -1, + 65194453, + 463779985, + 174346290, + 92875542, + 139853457, + 650967160, + -1, + 420596684, + -1, + -1, + 96569441, + 717323405, + 794577688, + -1, + 343962943, + 673208347, + 203816543, + 196882963, + -1, + 460844058, + 5314715, + 449011339, + 529594629, + 850751127, + -1, + 285923926, + 241480486, + 595980738, + 349568206, + -1, + 4803824, + -1, + 240944670, + -1, + 497607056, + 634898002, + -1, + -1, + 193178789, + 874864419, + -1, + -1, + -1, + 377227483, + -1, + 859159498, + 915707708, + -1, + -1, + -1, + 263094567, + 618249158, + -1, + -1, + 462466115, + 995888539, + 204160453, + 521909244, + 236311569, + -1, + 800920901, + 400533305, + 829771624, + 269363123, + 662973732, + 842224961, + -1, + -1, + 749677183, + 427601379, + 361356400, + 520454700, + 641076115, + -1, + 282478755, + 909472043, + 569660471, + -1, + 480606317, + 276815887, + 164863650, + 902083751, + 555443848, + -1, + 876087096, + 631088903, + -1, + 191222380, + -1, + 555263837, + 701900785, + 480220302, + 377580907, + 46428662, + -1, + 620030594, + -1, + 632559754, + 802100465, + 114953157, + 210385526, + -1, + 167851542, + 818399493, + 408397053, + -1, + 485693994, + -1, + 731484418, + 50074909, + 831846789, + -1, + 704559852, + -1, + 23159906, + -1, + -1, + 691332492, + 532349423, + 839209157, + -1, + 37230564, + -1, + 409722403, + 697869441, + 403363779, + 470880761, + 135253450, + 886463258, + 416323357, + 827585793, + 40196134, + 490922726, + 756277280, + -1, + 453892088, + 166272917, + 488908857, + 978082185, + 122551360, + 801804049, + -1, + -1, + 994663712, + 31158984, + 527417066, + 107607406, + 213627565, + 66374808, + -1, + 679735428, + 223230509, + 270547270, + 464893080, + 608200702, + 687697562, + 505605648, + 967729403, + 111340316, + 517114614, + 67311743, + -1, + 592105009, + -1, + 39718935, + 24673389, + -1, + 688872992, + 803406389, + 70820792, + 839043976, + -1, + 160608072, + 221205901, + 155473857, + 188548689, + 102673297, + 629104296, + 284992216, + -1, + 843987532, + 139134735, + -1, + 146117462, + 682385552, + 750597366, + 980938994, + -1, + -1, + 186024772, + -1, + 597935554, + 341786191, + -1, + 853490534, + 161508912, + 475933529, + -1, + 834003600, + 391690973, + -1, + 836846735, + -1, + 420484032, + 89091433, + -1, + -1, + -1, + -1, + -1, + -1, + 143780815, + 986420361, + -1, + 112749629, + 232886281, + 985418066, + 438811922, + 60537678, + -1, + -1, + -1, + 562255683, + -1, + 285496014, + 774512033, + -1, + 494557757, + 207244311, + 498931399, + -1, + 616786110, + 332969267, + -1, + -1, + -1, + 25498780, + 658050990, + -1, + 938460043, + -1, + -1, + 917481384, + 490257563, + 984496535, + -1, + -1, + 631590534, + 699587798, + -1, + -1, + 754169578, + -1, + 870952618, + 595212805, + 650380214, + 941422627, + -1, + -1, + 991397835, + -1, + 155838680, + 761319264, + 374994280, + 336035268, + 465342813, + 786378824, + -1, + 687267643, + 532340486, + -1, + 67106720, + 217423789, + 631561745, + -1, + 356239819, + 686199757, + 218189615, + 675242160, + -1, + 438370058, + 254865383, + 247792007, + 537146742, + 99419626, + 590899572, + 216145894, + 887180710, + 876429775, + 713947129, + 612844085, + 99956690, + -1, + 105579370, + 145638569, + 741839274, + 157796234, + -1, + 424796399, + 810974841, + -1, + 537647783, + 621663116, + -1, + -1, + 814296788, + 348679237, + 631741224, + 312148946, + -1, + -1, + -1, + -1, + 104550844, + -1, + 996985930, + 270694672, + 298944855, + -1, + 957693028, + 345747759, + -1, + -1, + -1, + 310801944, + -1, + 142398881, + 946024067, + -1, + -1, + 290467516, + -1, + -1, + 811471259, + 998144731, + 475676678, + 94233272, + 127954779, + 642579538, + 24862276, + 603935574, + 228442989, + 865029958, + -1, + -1, + -1, + 336768462, + -1, + 845554184, + 163105758, + 858203851, + 119254383, + 436283503, + -1, + 113923298, + -1, + -1, + 666552371, + -1, + -1, + -1, + 706918478, + -1, + 752998724, + 546908485, + -1, + -1, + 590363714, + 723571298, + 602264148, + 12017578, + 89030584, + -1, + 225885952, + 860241209, + -1, + 150572711, + 980351373, + 632652446, + 947225584, + 563378916, + 435582595, + 511892207, + 333065460, + 718746164, + 687110614, + 739209710, + -1, + 414019235, + -1, + 132367400, + 797310944, + 307930840, + 134448352, + 134991613, + 34577417, + 500403134, + 498804111, + 453002863, + 213140381, + -1, + 457985159, + 185641108, + -1, + 984470177, + 673401908, + 436353361, + 861408709, + 233780942, + -1, + -1, + -1, + 176277172, + 948148571, + 519603395, + 430638097, + 322316639, + 862166447, + -1, + 29396506, + 331753678, + -1, + -1, + -1, + 395777512, + 487748337, + 304801939, + 738010148, + 957128813, + 244871224, + -1, + 649046339, + 507814448, + 403621109, + -1, + 305460570, + 23515539, + -1, + 842906748, + 788756659, + 927309457, + 222388709, + 872438868, + 2721770, + 928815227, + 941438082, + 283869553, + -1, + 570168999, + -1, + -1, + 59209022, + -1, + 266588146, + 513723683, + 657325102, + 121100184, + 786023288, + 553650012, + -1, + -1, + 718745975, + -1, + -1, + -1, + 518625004, + -1, + -1, + -1, + 896958244, + -1, + -1, + 206844347, + -1, + 634502592, + 709804299, + 123518975, + 975990618, + 6459182, + 811349518, + -1, + 386892285, + -1, + 456382076, + -1, + -1, + -1, + 859554583, + -1, + 124202133, + 265610590, + -1, + -1, + 219209814, + 21154776, + -1, + -1, + 466548024, + 680976873, + 945023555, + 520989291, + 337992293, + 559568395, + 570537174, + -1, + 162859881, + 505125094, + -1, + 820106298, + 926827740, + 936812025, + 368286394, + 269197704, + 407148136, + 550493132, + 908573574, + -1, + 37570116, + 98571327, + 826039681, + 287402211, + 856256341, + -1, + 905674779, + 782110070, + 354971020, + 344102197, + 1152616, + 215303893, + 356515635, + -1, + 551021838, + -1, + 567255243, + 307249790, + -1, + 710636963, + 300213998, + 879019671, + 933293905, + 406646698, + 614966668, + 364306961, + 4934072, + 251775257, + 364733266, + -1, + -1, + -1, + 427363169, + 618510929, + 3569826, + 26530331, + 311150085, + 59939962, + 537726515, + 78811517, + 512206347, + 288765268, + 442289173, + -1, + 380922890, + 296352960, + -1, + 475366650, + 650415594, + -1, + -1, + 403545075, + 547733, + 892963013, + 616257525, + -1, + 160930560, + -1, + -1, + 835602346, + -1, + 65428260, + 54084755, + 294750321, + -1, + 676380925, + 506923707, + -1, + 634093957, + 335049991, + 526605049, + 517463527, + 596299325, + 667108654, + 351823612, + 718083107, + 962854540, + 177133651, + 838614357, + -1, + 16391703, + 543826487, + 898679289, + 967497296, + 107771876, + 441928275, + -1, + 121000894, + -1, + -1, + 453318193, + -1, + 192637420, + 207850304, + -1, + -1, + -1, + 513565746, + 60269041, + 190143254, + 870180583, + -1, + 399320967, + -1, + -1, + -1, + 255781993, + 509917527, + 950883034, + -1, + 926843294, + 210170504, + 149420550, + -1, + -1, + 940988563, + 804467893, + -1, + 779933050, + -1, + 668178182, + 586465396, + 330262569, + 219168074, + 259204829, + 614100449, + 179736708, + 675808967, + -1, + -1, + 7229494, + 548772560, + 199985352, + 573397875, + 367110041, + -1, + 813582980, + 98930666, + 286795745, + -1, + 769694251, + 625181585, + 117959195, + 968798739, + 620463328, + 774494063, + 66538287, + 415787358, + -1, + 37909221, + 798198823, + -1, + 128474719, + 860130196, + 607498319, + -1, + 451166614, + 951535232, + -1, + 579355976, + 157401536, + 797234744, + 561372765, + -1, + -1, + 738265543, + -1, + -1, + 28871919, + 228612255, + -1, + 871698897, + -1, + 199490175, + 699111709, + 964187277, + 115785878, + 947345722, + 458374341, + -1, + -1, + -1, + 817395517, + -1, + 440043494, + 897233772, + 766921023, + -1, + 621991666, + 138448039, + 47878793, + 849754312, + -1, + -1, + -1, + 445474636, + -1, + 967275947, + -1, + 257912261, + 678151223, + 114226481, + 82062038, + 89469752, + 587607316, + 912974294, + -1, + 919649422, + 209150785, + 831655526, + 967470768, + 108460106, + 409828631, + 460176890, + -1, + -1, + 665714314, + 719651898, + -1, + 369823897, + 103940924, + 91374105, + 179503126, + 431670285, + 330501482, + -1, + 428556002, + 542347921, + -1, + -1, + 561901672, + 731328721, + 950071142, + -1, + 578034641, + -1, + 777268277, + 460444961, + -1, + -1, + -1, + 22551063, + 627898435, + 724572676, + 453035312, + -1, + -1, + -1, + -1, + -1, + 67546481, + -1, + 273166684, + 8218091, + 87859215, + 5881094, + -1, + 698402590, + 889525173, + 443413904, + 254300972, + 652164740, + 500697617, + 325281190, + -1, + 550852151, + 951984111, + -1, + 770323700, + 70800244, + 432458064, + 364383159, + 762006800, + 454535434, + -1, + 384834019, + -1, + 769514372, + 984948992, + 773813492, + -1, + 372918254, + 661633295, + 428211240, + 149514180, + 515605073, + -1, + 503438295, + 327012965, + -1, + 416804316, + 986979477, + 950781630, + -1, + -1, + 434254968, + 588727032, + 757157610, + -1, + 979042575, + 328766458, + -1, + 275659385, + -1, + -1, + 535865448, + -1, + 358904788, + 829103176, + 2201978, + -1, + -1, + 518682785, + 71353341, + 507409290, + 436561429, + -1, + 881778180, + -1, + 65612746, + -1, + 477377847, + -1, + 454416716, + -1, + -1, + 57831077, + 846439629, + 141158837, + -1, + 482600418, + 318244019, + 260050175, + 633008438, + -1, + -1, + 913313380, + 825185158, + 733056963, + 583405296, + 854879582, + 374909313, + 711105630, + 456840004, + 195012591, + 319189711, + 348219213, + -1, + 833729542, + 664889183, + 796060856, + 234451319, + 355618603, + -1, + -1, + 561122899, + -1, + 476441645, + 961938240, + 78345956, + -1, + 490563325, + 170399108, + 416224960, + 191240420, + 856903405, + 589739599, + 636843504, + -1, + 304134121, + -1, + 93156323, + 562889845, + 552746704, + 374457418, + 713243498, + 967210552, + 473777387, + 822614750, + 507014529, + -1, + 950660941, + 685289958, + -1, + 229349278, + 116312769, + -1, + 543734437, + 423762301, + 201590583, + 697984006, + -1, + 183715078, + 153730505, + -1, + 488354032, + -1, + -1, + -1, + 963215578, + -1, + 621919842, + 160463906, + 897401958, + 695287889, + 365044599, + 995632822, + 551893359, + 493156175, + -1, + -1, + -1, + -1, + -1, + 805259018, + 244190073, + 123712948, + -1, + 791059112, + 614758785, + 139252285, + 736430053, + 966596477, + 519431690, + 577653659, + -1, + 459232096, + 127967319, + 978873770, + 172475233, + 167073901, + -1, + 847925178, + -1, + 498815783, + 283613430, + 842798666, + 344027643, + -1, + 125143827, + 482902477, + 635229806, + 992310042, + 338808, + 830149125, + 934390771, + 629477943, + 46100121, + 275464902, + 701434551, + 3881946, + 206759113, + -1, + 37604015, + 625850428, + 595348935, + -1, + 694692431, + -1, + -1, + -1, + 515709662, + 992402569, + 669388636, + 757416946, + 229908919, + -1, + 741519131, + 149157659, + 556069679, + -1, + 448661633, + 981122581, + 42547418, + 346337147, + 399262460, + -1, + -1, + 601896139, + 12509525, + -1, + -1, + 38500640, + 990454430, + 804271741, + -1, + 650154763, + 53968761, + 271367927, + 572334456, + 843790639, + 843158428, + -1, + -1, + -1, + 414791978, + 279071777, + -1, + -1, + 715365635, + 987465062, + 340015460, + 802238011, + 668813570, + 699118065, + -1, + -1, + 99919760, + 507930337, + 397361473, + 115509036, + 158405478, + 353247374, + -1, + 138290071, + -1, + -1, + 589382202, + 832430311, + -1, + 488490443, + -1, + 227124374, + 423085750, + 163011144, + 312832237, + 150455782, + 240227512, + -1, + -1, + 989359242, + -1, + 967704090, + -1, + 261112164, + 893284956, + -1, + 150164551, + -1, + 993237521, + 195011435, + 486286856, + -1, + -1, + -1, + -1, + 680809057, + -1, + 550103181, + 9026608, + -1, + 15180461, + 491808397, + -1, + 890955029, + -1, + 446862734, + -1, + 634161574, + -1, + 156279368, + 793292910, + 656627648, + 931316589, + -1, + -1, + 361554898, + -1, + 58065570, + 411785905, + -1, + 350428788, + -1, + 728601540, + 113995798, + 212851211, + 737395468, + 378804106, + 937538736, + 868573271, + 780934951, + 52802898, + 379753617, + 386975927, + 966897092, + 425858038, + 103144656, + 439519393, + 289370009, + 747704427, + -1, + 677688623, + 792077368, + -1, + -1, + -1, + 981123938, + -1, + -1, + 562685589, + 606557766, + 430709600, + -1, + 708720853, + -1, + 162686478, + -1, + -1, + -1, + -1, + 127640702, + 777661904, + -1, + -1, + -1, + 348770742, + 157314617, + 630018561, + 293537430, + -1, + 631837038, + -1, + 332005616, + -1, + -1, + -1, + 253860646, + 789655037, + 914305767, + 660267773, + 303257448, + 127832388, + -1, + 667631187, + 862413173, + 658700989, + 400441732, + 822061063, + 864709110, + 944111493, + 999472343, + -1, + 924610279, + 474269645, + 486444202, + 472168515, + -1, + 993356006, + 314192777, + -1, + 534883616, + -1, + 803991857, + 646719831, + 895062458, + 58634429, + -1, + 571536801, + -1, + -1, + 462944115, + 838169678, + 341741751, + 390705329, + -1, + 255613319, + 466214312, + -1, + 110947307, + -1, + 717098027, + 958405298, + 737569558, + -1, + 267786238, + 863487877, + -1, + 604249394, + -1, + 586159959, + 963339781, + 588641151, + -1, + 779591254, + 816283812, + 189322615, + -1, + -1, + 916078791, + 818914139, + -1, + 260027823, + 928286788, + 443813043, + 895183760, + -1, + 632301913, + -1, + -1, + 542874318, + -1, + 740842390, + -1, + 674837734, + 610367962, + 990336883, + 185413472, + -1, + -1, + -1, + 543407346, + 546687195, + -1, + -1, + -1, + 654277436, + 932132142, + -1, + 444858653, + 537138986, + -1, + 751574705, + 933394917, + 102273219, + 801582227, + 690093468, + 207709955, + 699403844, + 247643079, + 903587928, + 360975521, + -1, + -1, + 523713264, + -1, + 975383014, + 873359228, + -1, + -1, + 363168962, + 211337535, + -1, + 797546248, + 933496474, + -1, + -1, + 807635248, + 532502601, + 360803614, + 511808009, + 870908373, + 476238266, + 412428806, + 359187988, + 853321545, + 721236320, + 183879057, + 63706139, + 981199740, + 322684607, + 871380369, + -1, + 654483462, + 519927673, + -1, + 373079158, + 441124984, + 936434468, + -1, + 174608041, + 947045680, + -1, + 959338224, + -1, + 174818696, + 475805314, + -1, + -1, + -1, + 112109144, + 993393992, + -1, + 8380646, + -1, + 186821077, + 794816438, + 139176023, + -1, + 920727004, + 430849371, + 675408548, + -1, + 702449690, + 587524430, + 752872789, + 126492849, + 525820588, + 555560393, + 358440215, + 132060047, + -1, + -1, + 167154775, + 362617259, + 40914674, + -1, + 258977564, + 202152481, + 823473328, + -1, + 787849485, + -1, + 677291056, + 856111730, + 589187584, + 56627474, + -1, + 471206518, + 660613524, + -1, + -1, + 716049103, + 242691954, + -1, + -1, + 801190894, + 853786949, + -1, + 181239119, + 24489110, + 359820178, + 60600597, + 461134309, + -1, + -1, + 41611409, + 631654631, + 551832511, + 373045846, + 279139102, + 595693343, + -1, + 95129142, + -1, + 295721031, + 622036327, + 636130048, + 469552601, + -1, + -1, + 325831465, + -1, + -1, + 143351917, + 372938102, + -1, + 178681671, + 420899645, + 887918849, + 297533244, + 773614507, + -1, + 528573779, + 68695073, + 167501284, + 695723630, + -1, + 760525821, + 764772683, + 965118955, + 6617138, + 82238422, + -1, + 183968134, + 500588541, + 473351545, + -1, + -1, + -1, + 241974830, + 896863472, + -1, + 657476332, + 90908856, + 983901996, + 479977587, + -1, + 736614067, + -1, + -1, + 29656239, + 612387236, + 313348479, + 471490202, + -1, + 523409211, + 425481182, + 66900789, + 716672508, + 708169501, + -1, + 330741486, + 881820032, + 640526608, + 517594913, + 539520068, + 895412891, + -1, + 34289370, + -1, + -1, + -1, + -1, + 48710453, + -1, + 38218202, + -1, + 526787085, + -1, + -1, + 368644593, + 191083109, + 858387639, + 712892423, + 188677568, + 713272887, + 183058874, + 774241327, + 236641416, + 678000075, + 688258691, + -1, + 855115123, + 53004569, + 371014810, + -1, + 689157998, + -1, + 700930580, + 803531686, + 525943812, + 806065656, + -1, + -1, + 743179649, + 148983785, + 193541987, + 154515254, + -1, + 395378299, + 248754157, + -1, + 510583963, + 786401116, + 531045658, + 957083544, + -1, + 56797104, + 247251128, + -1, + 424230614, + 30530052, + -1, + 461699273, + 609878971, + 96407766, + 704871052, + 999965317, + 314866478, + 33531251, + 787930270, + 445660319, + -1, + 881073189, + 463390587, + -1, + 996855601, + 992870407, + 162648371, + -1, + 823005028, + 415076954, + 905485959, + -1, + -1, + -1, + 443781103, + 838865721, + 548641226, + 410434211, + -1, + -1, + 710848114, + -1, + 307293309, + 878627343, + -1, + 912129411, + 683081483, + -1, + 754245711, + -1, + 591847833, + 988884040, + -1, + -1, + 735166058, + 421351146, + 136989680, + 333352527, + 727263216, + 545471793, + 970113269, + -1, + 952946552, + 541994310, + 781814560, + 848623763, + -1, + -1, + -1, + -1, + -1, + 504703784, + -1, + 426216536, + 485105861, + 386606705, + 663170774, + 727643789, + 312167619, + 758375971, + 720032902, + 517526808, + -1, + -1, + 279845523, + 179480604, + 150411749, + -1, + 2740458, + -1, + -1, + 25762523, + -1, + -1, + -1, + 233188085, + 256416739, + -1, + 957954338, + 266103857, + 112317015, + -1, + 802047109, + 891686513, + -1, + -1, + 86043353, + 636899194, + -1, + 884704626, + 428746864, + 379533563, + 587418763, + 248983208, + -1, + -1, + 253818603, + -1, + 570040954, + 59529540, + 820608018, + 882885507, + 415826338, + 902846895, + -1, + -1, + 67479130, + 126587636, + -1, + 762721758, + 438479785, + 402114442, + 197131264, + 712347055, + 967917868, + 185448537, + -1, + 716215260, + 806353119, + 91194834, + 601294605, + 710361444, + -1, + 689096571, + 438305450, + 770871711, + 287475835, + 222371653, + 509305898, + -1, + -1, + 872809403, + 694212965, + 379544730, + 375026334, + 916471420, + 828640773, + -1, + -1, + 562037105, + -1, + 226618703, + -1, + 862222976, + 674830448, + -1, + 900439578, + 752078971, + -1, + -1, + 133442895, + -1, + -1, + 379592095, + 779107216, + -1, + 539314176, + -1, + -1, + 669026348, + 745248426, + 386421598, + 854222090, + 665646528, + 627394223, + 696211177, + 446992918, + -1, + -1, + 290909115, + 740216797, + 787653463, + 854959158, + 85559725, + -1, + 672560978, + -1, + 588555304, + 95786321, + -1, + 830346613, + -1, + 928623334, + 136489186, + 783826607, + -1, + 462923063, + 806807403, + 786202500, + -1, + -1, + 884391560, + -1, + 783791775, + 590153162, + -1, + 422926938, + 555854207, + 360094848, + 741225649, + 899908044, + 440842543, + 870507822, + -1, + 184327228, + 384425948, + 964148324, + 609535241, + -1, + 358295559, + 103691176, + 680196014, + -1, + 519440048, + 919680733, + 509335243, + 598929838, + 402407085, + 686606851, + -1, + 563939820, + 391629276, + 581431334, + 110199330, + 299848438, + 315346624, + 389655340, + 828833777, + 60015565, + -1, + 801509181, + 116262409, + 749667734, + 228333814, + -1, + 170012797, + 577562264, + -1, + 569961923, + 604127999, + 404201611, + 821061295, + 946893024, + 813339788, + -1, + 479684592, + -1, + 708425908, + 666092365, + 687377095, + 14072309, + 823690801, + -1, + -1, + -1, + 365470137, + -1, + 946592887, + 747504810, + 366407723, + 376277391, + 977661613, + -1, + -1, + 655791006, + -1, + -1, + 101473008, + 588318468, + -1, + 265423839, + 954222147, + 425381868, + 841344179, + -1, + -1, + -1, + 490644482, + 163566682, + -1, + 327631096, + 829128376, + 32115888, + 987722017, + 409260470, + -1, + 747962413, + -1, + 644077595, + -1, + 352882517, + 759970430, + 6059933, + -1, + 962180751, + 889174345, + 606662236, + 108071211, + 578010426, + 662887627, + 626302337, + -1, + 274863306, + -1, + 885202842, + -1, + -1, + 698563231, + -1, + 118061441, + -1, + -1, + -1, + -1, + -1, + 976351468, + -1, + 374423307, + -1, + 719571465, + 694532510, + 881715068, + 80502597, + 98649475, + 350320949, + 191244351, + 526995159, + -1, + -1, + 571709905, + 786682647, + 853136270, + 817868984, + 467840266, + 431100749, + 27883001, + 114300570, + -1, + 809443304, + 350710795, + 149953068, + 789383405, + -1, + -1, + 129234276, + 190819286, + 702402749, + 141026677, + -1, + 477083339, + -1, + 242824174, + 884912541, + 837091215, + 600780877, + -1, + 689991944, + 51851482, + 47956124, + 604905148, + 260414197, + 737621241, + -1, + 671006493, + 170521971, + 2755672, + 708319820, + 306120098, + 89266889, + 852701986, + 458609929, + -1, + 447645941, + 215619567, + 693635621, + -1, + 684419300, + 383900442, + 324695031, + 621499311, + -1, + 138890913, + 402481801, + 284718791, + 943517921, + -1, + 946288117, + 426009690, + 266989060, + 135820780, + -1, + 746884165, + 637268594, + -1, + 242752677, + -1, + 599091431, + 213581511, + -1, + -1, + 421259076, + 834110614, + -1, + 518049914, + 640148898, + 602896612, + 975498428, + -1, + 566556628, + -1, + 136103868, + -1, + -1, + 507517801, + 108969142, + -1, + 995149848, + -1, + 926270300, + 67021094, + 262931614, + 507400900, + 153252127, + 511235238, + 248278530, + 439094083, + 138770816, + 238338396, + -1, + 735441060, + 767286324, + -1, + 586954836, + 209742631, + 896493965, + -1, + 761550026, + -1, + -1, + 196755020, + -1, + 432996410, + 517923848, + 708249930, + -1, + 16639889, + 152893572, + 360326906, + -1, + 331522680, + -1, + 245312919, + -1, + -1, + 535247641, + -1, + 996008749, + 270884005, + 551274429, + 597339890, + 991332586, + -1, + -1, + -1, + -1, + -1, + -1, + 566241432, + 499822012, + 798880834, + -1, + 641297886, + -1, + 994766730, + 361527841, + -1, + 334803513, + 800342105, + -1, + 650340563, + 768510918, + 262973983, + 711203648, + 951761181, + 239633856, + 991559713, + 392483793, + 960847081, + -1, + 144135667, + 650269110, + 541277193, + -1, + 429766643, + -1, + -1, + 738568555, + 832980014, + 341361943, + 575642800, + 440810970, + 270639168, + -1, + 710481285, + -1, + 7991076, + -1, + 514107860, + 732809498, + 630113243, + 989488480, + -1, + -1, + 614839899, + 696455239, + -1, + 675502462, + -1, + 773165997, + 428783444, + -1, + 681633900, + 318070731, + 773168946, + 799624331, + -1, + 305596901, + 297178777, + 551038592, + 372954217, + -1, + 662460398, + -1, + -1, + -1, + -1, + 467535327, + 360155983, + 489155358, + 671233332, + 811634670, + 599331201, + -1, + 470365874, + 507933352, + 757965479, + -1, + 140629891, + 10638601, + 601234802, + 807300856, + 503398674, + 483583157, + 644875685, + -1, + 593745553, + 771226699, + 518633695, + -1, + -1, + 304248829, + 369451839, + 667214092, + -1, + -1, + 908674754, + 965985178, + -1, + 342309946, + 914563412, + 647953143, + -1, + 774812917, + 626153636, + 984903026, + 213066864, + -1, + 123555645, + -1, + 377915701, + 165232062, + -1, + 651075918, + 596657960, + 265705273, + -1, + 658827332, + 633328184, + 237350163, + 326289985, + 610488653, + -1, + 273160490, + 913129811, + 640754855, + 50976814, + 647568038, + -1, + -1, + 357682308, + 845877616, + -1, + 76002780, + 843920978, + -1, + 126667154, + -1, + 619595830, + 27127227, + -1, + -1, + 418915541, + -1, + 279433826, + 38898482, + 639453795, + 343753797, + 723544684, + -1, + 756697435, + 997087686, + 619997879, + 233512100, + 660973515, + 862568758, + -1, + 728562101, + 573511044, + 914596617, + -1, + -1, + -1, + -1, + 736659272, + 777350070, + 12016416, + 737102409, + 855048447, + 275664031, + -1, + 390151615, + 702972709, + 57264859, + 67007622, + 312947420, + 844359969, + -1, + -1, + 800069286, + 588132115, + 254051888, + -1, + 592065071, + 879625300, + -1, + -1, + 49831897, + -1, + 955785428, + 807946981, + -1, + 333498201, + 60355707, + 990435852, + 753984003, + 889277014, + 288115862, + -1, + -1, + 877140572, + -1, + 552186794, + 139668687, + 9262299, + 671825289, + 523782055, + -1, + 181452843, + -1, + 560364588, + -1, + 902513640, + -1, + 608658968, + -1, + -1, + 459610027, + -1, + 612224330, + 13232941, + 917541957, + 803750754, + 165225928, + 201759210, + -1, + 982940413, + -1, + -1, + -1, + 195641142, + 396528403, + 803401245, + 951984773, + 460154912, + 491285656, + 293803350, + 962681133, + -1, + 681535942, + 241958607, + 61370490, + 499055063, + -1, + 275578490, + 176935722, + 795814952, + -1, + 262798249, + 240261371, + 83862006, + -1, + -1, + 892992136, + -1, + 602531824, + -1, + 54911450, + 526123466, + -1, + 240642878, + -1, + -1, + 965617595, + 657216556, + 932457272, + -1, + -1, + -1, + 382770803, + 643818588, + 491312345, + 861544931, + -1, + 803214536, + 838418507, + -1, + 630243561, + 443036445, + 401446547, + 435715798, + 173104394, + -1, + -1, + -1, + 841771981, + 274090888, + 213620372, + 733017936, + -1, + 669967643, + -1, + 812994604, + -1, + 395624543, + -1, + 849082877, + 89749587, + -1, + 640638606, + -1, + 396722634, + 879174281, + -1, + -1, + 594066273, + -1, + 213811133, + 483074854, + 633202901, + 10279206, + 756241838, + 204439814, + -1, + 946218835, + 721685475, + 414659495, + 299677098, + 813081710, + 342937428, + 585135755, + 438030243, + 814876816, + -1, + -1, + 711235702, + 50115530, + -1, + -1, + -1, + 550354012, + -1, + 666257239, + 826282128, + -1, + 595020785, + 919130957, + 932899894, + 602560265, + 686516415, + 367447881, + -1, + 569795654, + -1, + 15341536, + -1, + 647998634, + 98088912, + 727533589, + 271515948, + 944774304, + 857281782, + 331778486, + -1, + 827319076, + -1, + 866039751, + 356845823, + 85831247, + 10719812, + 630195879, + 27853423, + 936280426, + 434356010, + 511105814, + -1, + 136080013, + 682644618, + 827654569, + -1, + -1, + 198066236, + -1, + 505072101, + 25356175, + 55995284, + -1, + -1, + -1, + -1, + 475463625, + 412874715, + 292643330, + 181018920, + 897501003, + -1, + 101747163, + 317913401, + -1, + 923080372, + 70099115, + 619340602, + 814621425, + -1, + 195479860, + -1, + -1, + 872101556, + -1, + 51015635, + 242609730, + 9413783, + 73657062, + 455875729, + 96598475, + 747024871, + -1, + 299239912, + 252845234, + 154365934, + -1, + -1, + -1, + 689020799, + 551512982, + -1, + 668353104, + 337798317, + 325309331, + 23795240, + 486775367, + -1, + 698213001, + -1, + 936591440, + 805194087, + 845342156, + 473059066, + 204190975, + 542619387, + 551558350, + -1, + -1, + -1, + 182969009, + 658975486, + 218417466, + 13706384, + 524048610, + 500933052, + 805003401, + 902439189, + 939499660, + 889564804, + -1, + -1, + 407943346, + 161005557, + -1, + 311976721, + 654077304, + 172031510, + 178206102, + -1, + 747489913, + -1, + 381328353, + 746035911, + -1, + 39771633, + 79786207, + -1, + -1, + 586701822, + 803560400, + 807581437, + 40625885, + -1, + -1, + -1, + -1, + 263393705, + 996851625, + 577549527, + 606020743, + 75336185, + 759038207, + 364729558, + 896762847, + 987377154, + 912608081, + -1, + 433912692, + -1, + -1, + 652059484, + -1, + 932790602, + 762699502, + -1, + 954336110, + 625946522, + 612637366, + -1, + 552831134, + -1, + -1, + 791216487, + 75385270, + 210981981, + 720462102, + 937855279, + 406780342, + 814499423, + 641023100, + 968398188, + 379680456, + 210283132, + 660706571, + 75634841, + 141708664, + -1, + 560931045, + 490416134, + -1, + 13094527, + 705892612, + 640032810, + 52632360, + 149840378, + 656377588, + 179633831, + -1, + 790350290, + 982920322, + 869728642, + 188674726, + 324463850, + -1, + -1, + 185128041, + 496376218, + -1, + 332800536, + 287039033, + 941726956, + 798091915, + 830985847, + 923244705, + -1, + -1, + -1, + 755172138, + 8727239, + 800063187, + 341710250, + -1, + -1, + -1, + 65130495, + -1, + -1, + 188652279, + 37450024, + 410839705, + 739510471, + 351134753, + 853459217, + 984293085, + -1, + 590715812, + -1, + 678033423, + 390932986, + 322134843, + 736611180, + 807964398, + 673482619, + 946889480, + 564069380, + -1, + 518721923, + 390965338, + 764854578, + -1, + -1, + -1, + 692362145, + 53292898, + 513931260, + 899456281, + -1, + 899543013, + 966264077, + -1, + 740327060, + 15620053, + 420367789, + 311378701, + 521484137, + 26107319, + 404066513, + 999474754, + -1, + 22728496, + 475669734, + 882228868, + 225509267, + -1, + 90508996, + 880938425, + 5184535, + 663651667, + -1, + -1, + 388368886, + 329244949, + -1, + 11663007, + 912191562, + -1, + 293672292, + 31800506, + -1, + -1, + -1, + -1, + 874971099, + 857042406, + -1, + 123861975, + 970879440, + 221017454, + -1, + 205118784, + 895604366, + 399570656, + -1, + 503880144, + 323710426, + -1, + 925626367, + 825174195, + -1, + 740740197, + 921587804, + -1, + 382673865, + -1, + 189827103, + 575614528, + 935482570, + 762653432, + 265701201, + 630041716, + 951356689, + 988113146, + 762543957, + 228046941, + -1, + 759864567, + 957112993, + 837910862, + -1, + -1, + 335266394, + -1, + -1, + -1, + 552159340, + 53111304, + 804259114, + 664950045, + 580274337, + 290422011, + 337848344, + 530604205, + 24101236, + 694219972, + 90774847, + 587315486, + -1, + 574650869, + 893221907, + -1, + 345780071, + 76749370, + 235292334, + -1, + 93881763, + 283827722, + -1, + 897412689, + 305125417, + 338724385, + 539918026, + -1, + -1, + 352132631, + -1, + 116352135, + 266975536, + 908511375, + 35764149, + 148073991, + 229433414, + 19877511, + 988986799, + 964287889, + -1, + 875244756, + 340308353, + 287860143, + 189650851, + 376875587, + 678444648, + 250979778, + -1, + 868355027, + 658056144, + 981744733, + 46165823, + 370303116, + 853935292, + 930064628, + -1, + -1, + 773378167, + 494361412, + -1, + 245111723, + 858287314, + -1, + -1, + 100371821, + 166915520, + -1, + 401532001, + -1, + 828462966, + 280906968, + -1, + 312758557, + 245430047, + 297790408, + 59077470, + -1, + 22180935, + 271547949, + 184516282, + 91629364, + 175184042, + 335098637, + 992852972, + 426943842, + 25227191, + 189357220, + 162159646, + -1, + -1, + 139021869, + 133154647, + -1, + 761797145, + -1, + -1, + 163269892, + -1, + 688181282, + 289414343, + 359950292, + -1, + -1, + 128408952, + 673255046, + 749039301, + 947727674, + 417834656, + 601992858, + 402640315, + -1, + 897976772, + 963945876, + 695234302, + 320712416, + -1, + 420165258, + -1, + -1, + 32874975, + -1, + -1, + 814901767, + 645870958, + 448629224, + 236790980, + 981359677, + -1, + 203222974, + 3265293, + 470715175, + 922278852, + 90679145, + -1, + 700644045, + 965224865, + 576969488, + 931578650, + 300713786, + 661279195, + 884805352, + 228851178, + 753983668, + 910023096, + 846719409, + -1, + -1, + 217538837, + -1, + 612760639, + 944258186, + 833724605, + 410098956, + 451373396, + 690161321, + 744707511, + 405489665, + 803019866, + 306474231, + -1, + -1, + 966160484, + 729107720, + -1, + 439315885, + 788933953, + -1, + 212266280, + 597803459, + -1, + 835464603, + 250949835, + -1, + 367310746, + 773664615, + 534377572, + 115136549, + 190692240, + 350788656, + -1, + -1, + 482090239, + 892836941, + 637950558, + -1, + 486266539, + 69007289, + -1, + 519491720, + -1, + 434232036, + 875209489, + 813468155, + 482941003, + 688853486, + 298682758, + 862422213, + -1, + 962709954, + 325347659, + 531106291, + 665992717, + 376055293, + 702197200, + 590240817, + 133544590, + 836957053, + 496652086, + 882568487, + 974757782, + 714928360, + 54223886, + 706599965, + 988402660, + 125115479, + 423473983, + 639137094, + -1, + 115688203, + -1, + 780424838, + 5537199, + 305756991, + 803520818, + -1, + 727951306, + 910247674, + -1, + -1, + 605900038, + 611692871, + 26829596, + 848497706, + 249303007, + 755507064, + 452186126, + -1, + 718062877, + 934148059, + 975848244, + 92214146, + 717156886, + 636356653, + 185279648, + -1, + 582648925, + 427499549, + 521463945, + -1, + 913730539, + 556272153, + -1, + 773233319, + 304056731, + 732316486, + 607988268, + 527187960, + -1, + 149600169, + -1, + -1, + -1, + 645871064, + 272868795, + 925802157, + 392587980, + 231524727, + 599301233, + 484332906, + 704021323, + -1, + 549923276, + 698970537, + -1, + -1, + -1, + 44656904, + 705105597, + 621141154, + 134649467, + 44840, + 155938064, + -1, + -1, + 666552599, + 997527262, + -1, + 612367286, + 330880255, + -1, + -1, + -1, + 467519212, + -1, + 443096448, + -1, + -1, + 902564170, + 143152865, + 51801688, + 119141276, + 631647428, + 686747338, + -1, + 998686923, + 958418695, + -1, + -1, + 144926105, + 214753264, + -1, + 501500333, + 639468049, + 717192140, + -1, + 306503536, + -1, + 290430464, + 165311157, + -1, + -1, + 998623549, + 75173639, + 614201049, + -1, + 499106748, + 386267137, + -1, + -1, + -1, + -1, + 975879831, + -1, + -1, + 757268788, + 30073484, + 100388259, + 936006731, + -1, + 506810111, + 669197107, + 814354809, + 622406952, + 944761765, + 330740390, + -1, + 643066132, + -1, + 412501244, + -1, + -1, + 460605203, + 406093913, + 879635119, + 498838344, + 713678743, + -1, + 331038847, + 436439480, + 889887908, + 173603152, + 58659125, + 956463372, + 11154393, + 989414346, + 861389627, + 393137612, + 778895313, + 903680655, + 222365298, + -1, + 899513080, + -1, + -1, + 134200039, + 731260653, + 35709990, + 648420008, + 809815823, + -1, + -1, + 953509191, + 139345984, + 280229544, + 135682020, + 776363600, + -1, + 844133173, + -1, + -1, + 234117420, + -1, + -1, + 145892072, + 29409140, + 714478103, + 404757482, + -1, + 629896668, + 841169470, + -1, + -1, + 212821845, + 626941167, + -1, + -1, + 924766211, + 501035799, + 428089709, + 713391989, + -1, + 582980328, + -1, + 265996883, + 228610452, + 954522053, + 365384365, + 134129689, + -1, + -1, + 119428566, + 878914181, + -1, + -1, + -1, + 88355090, + -1, + -1, + 264876655, + -1, + 909501138, + 342306683, + 450443164, + 999721140, + 656774028, + 254213022, + 612927095, + -1, + -1, + 269365274, + 796012060, + 62313328, + 627705348, + 695566994, + 230453225, + -1, + -1, + 992456001, + 979283129, + 200342386, + 64611878, + 794258666, + -1, + -1, + 638663253, + -1, + -1, + -1, + -1, + 647445599, + 72608315, + 804729991, + 843222672, + 794065570, + 37487809, + 303325781, + 167706461, + -1, + 441157294, + 403154649, + 494744136, + -1, + -1, + 950403378, + -1, + 873284725, + 169107628, + -1, + 17872215, + 784434932, + 694554399, + 858068663, + 646733446, + 852233970, + 25266688, + 686637189, + 393316405, + 156657791, + 55758768, + 858206777, + 682030358, + -1, + 112647394, + 743382196, + 836191697, + 820710441, + 52878634, + 953490258, + 673548100, + 771322040, + 271180092, + 634959577, + 819468646, + 330666363, + 112986057, + -1, + -1, + -1, + -1, + 326229407, + -1, + -1, + 449244560, + 335669290, + -1, + 439403422, + 683099662, + -1, + -1, + -1, + -1, + 99139460, + 763407717, + 314546357, + -1, + 128911173, + -1, + -1, + -1, + -1, + -1, + 378585562, + 568796784, + -1, + 602648641, + -1, + -1, + 837555356, + 876871962, + -1, + 327006900, + 653121359, + 801752033, + 491605456, + 493818989, + 595191318, + 278245224, + 881006029, + -1, + 951581166, + 557462674, + -1, + 356958860, + 626288649, + 767013507, + -1, + 341457159, + 481170031, + -1, + 485309070, + -1, + 635211880, + 413862247, + 223458848, + 669862743, + 205535524, + -1, + 804235870, + 466632932, + 513427302, + -1, + 829842016, + 655599543, + 72535041, + 970563122, + -1, + 667201012, + 478981507, + 15573439, + 577780140, + -1, + -1, + 272471750, + -1, + 235867417, + 824597979, + 446361274, + 403896025, + 333356436, + 766568544, + -1, + 91310841, + 959336643, + -1, + 9420663, + 636482277, + 787518956, + 298101470, + 229065420, + -1, + 581891976, + -1, + -1, + 595314681, + -1, + 482547133, + -1, + 660127514, + 856138025, + 965896190, + 693952555, + 913490360, + 241535443, + 400182356, + 269255583, + 293643443, + 123619457, + -1, + 637921295, + -1, + 488295998, + 113512202, + 680702544, + -1, + -1, + -1, + 245865175, + 466583542, + 958731443, + -1, + -1, + 793549299, + -1, + 76443697, + 840483919, + 541217001, + 214779232, + -1, + 865553593, + 876246269, + 104559765, + -1, + 447193534, + 854228290, + 190175850, + -1, + 479009546, + -1, + -1, + 7401491, + 703701466, + -1, + 272224930, + 552445444, + 432732069, + 265329389, + 113787173, + -1, + 684033230, + -1, + -1, + 318496499, + 509277578, + 523472754, + 163444597, + 744287542, + 211610432, + 751044252, + 532100501, + -1, + 685755284, + 788476243, + 436391089, + 714449536, + 415441154, + 869152408, + 461009111, + 473757037, + 793658749, + 786151165, + -1, + 239594662, + -1, + 953167246, + 684897376, + 451640072, + 490454795, + -1, + 423390203, + -1, + 728022363, + 973951436, + 692589270, + 243044918, + 324206262, + -1, + 308289768, + 954484683, + -1, + -1, + 978348488, + 254244330, + 556428678, + 567896791, + 513394095, + 948086807, + -1, + 888911278, + 491631550, + 903278192, + 60631300, + 801171591, + 461319937, + 934625888, + 686345971, + 412500016, + -1, + 359808865, + 220001422, + 14291280, + 743244897, + 906092676, + 711805739, + 28542617, + 679245234, + 872254888, + 471448950, + 769484853, + 583450648, + 874565579, + -1, + 365555455, + 410382565, + -1, + 571097043, + 76719823, + 12535621, + 406591320, + -1, + 330465347, + -1, + -1, + 53713847, + 248875356, + 342557167, + -1, + 52682225, + 110572448, + -1, + -1, + 40665593, + 793510471, + 873392933, + -1, + -1, + -1, + 857599215, + -1, + 510761072, + 269019305, + -1, + 623259453, + -1, + 998571695, + 556448253, + 681892213, + 991637909, + 494794586, + 319813124, + 951254272, + 376267294, + -1, + -1, + -1, + 568201017, + 854211089, + -1, + 423325113, + 208709014, + 18916848, + 541058655, + 255392943, + 568551954, + 8685423, + -1, + 12125206, + -1, + 236154584, + -1, + -1, + 303807913, + 93176727, + -1, + 260154787, + -1, + 9146011, + 537971967, + 323227977, + 505302532, + 906390204, + 273661682, + 6693661, + -1, + 507740539, + 825671672, + -1, + 857545899, + 798826803, + 69224703, + 12119591, + 896644878, + 950929675, + 912222143, + 871544310, + 693426255, + -1, + 717010451, + 141469484, + 397635641, + 115312776, + 290917922, + -1, + 349401871, + 90380930, + -1, + 985313887, + 192930207, + 223435348, + 555917082, + 495778706, + -1, + 865589794, + 111666517, + 159482591, + 635438834, + 306191536, + 315324675, + -1, + 167826669, + -1, + -1, + 968977319, + 442588114, + -1, + -1, + 343228467, + -1, + -1, + 905798474, + 507580150, + 442883534, + 911724342, + 949214089, + -1, + 139766532, + -1, + 193797965, + -1, + 571563343, + 77485211, + 493353613, + 659288780, + 274193856, + -1, + -1, + 620512477, + 309574267, + 166614639, + -1, + 501072576, + -1, + 288496834, + 18329029, + 398390612, + 227460708, + 683544604, + 870648823, + 996680733, + 758734622, + 604790279, + -1, + -1, + 373007391, + -1, + -1, + -1, + -1, + -1, + 983988481, + 214183559, + -1, + -1, + -1, + 487764223, + -1, + -1, + 228996905, + 425035158, + 981615424, + -1, + 683925791, + -1, + -1, + 710517762, + -1, + 986949456, + 101997272, + 676084207, + -1, + 383342138, + 457728409, + 524826936, + -1, + -1, + 151999947, + 813698226, + 293457167, + 305793547, + -1, + -1, + 291862482, + -1, + 531141936, + 848971919, + 655576811, + 313364557, + -1, + 259928389, + 788374865, + -1, + 556440840, + -1, + 297023209, + -1, + -1, + -1, + 603058037, + 302561991, + 698209202, + 915436480, + -1, + -1, + 118035584, + 991126989, + 495288263, + 851558542, + 947209830, + 393703999, + 683063907, + -1, + 134047727, + 870648506, + -1, + 673173784, + 152017438, + 487322200, + 758717455, + 616253781, + -1, + 896049340, + -1, + 179274872, + -1, + -1, + 326383987, + 372892780, + 677190839, + 525086711, + 351283158, + 768820340, + -1, + -1, + 604513546, + 754093054, + 340865971, + 564018682, + 409867760, + -1, + 898627716, + 702561317, + -1, + 330259976, + 410322540, + 691063913, + -1, + 654134168, + 103464844, + 668518207, + -1, + 866494034, + 948316393, + 349363230, + 565899737, + 140332088, + 493067540, + 926661263, + -1, + -1, + 560972055, + 977366954, + 752180534, + -1, + 95184221, + 652840876, + -1, + 674236683, + 150594505, + 523651093, + 992623005, + 762806889, + 998125634, + 669754164, + 677413997, + 140197306, + 202228645, + 967504739, + -1, + 273040988, + 611395508, + -1, + -1, + -1, + 298702720, + -1, + 431688692, + 862830960, + 733828780, + -1, + 929583680, + 541443544, + -1, + 564891273, + 697463913, + -1, + 562477926, + -1, + 804138462, + 429636375, + 674490598, + 216771067, + -1, + 644913991, + -1, + -1, + -1, + 918260577, + 472529086, + 843264411, + -1, + 183684605, + -1, + 680935170, + 652451833, + 67797976, + 37332862, + 997950436, + -1, + -1, + 57724464, + -1, + 375377509, + 498720712, + 824849155, + 977275790, + -1, + 788524911, + 419151039, + 244347370, + 262848674, + -1, + -1, + 653075352, + 355861087, + 906028906, + 605641690, + 4530178, + 504282890, + 956719220, + 409180633, + 458160175, + 818087270, + 724040497, + 194655955, + -1, + -1, + 988342050, + -1, + 674375084, + 631784760, + -1, + -1, + 419136111, + 897186713, + 850136516, + 939990955, + 390759480, + 522909579, + -1, + 784246219, + 339163783, + 420620285, + -1, + -1, + -1, + 654735566, + 374039340, + 308150271, + 619789526, + 176935047, + 884125629, + 793790126, + -1, + 553785964, + -1, + -1, + -1, + -1, + 506139729, + 25969284, + 667693351, + 298220507, + -1, + 546574298, + 338124360, + 592200083, + 720535799, + 664519197, + 629311136, + -1, + 401810329, + 234538709, + 164134703, + -1, + -1, + 150180737, + -1, + -1, + -1, + 600232128, + -1, + 257956680, + 395696468, + -1, + 124200585, + 693676945, + 798514223, + 934836207, + 816725141, + 578519328, + 539663039, + 316910353, + 793702227, + -1, + 231637577, + 852004941, + 949728149, + 962315750, + 688901692, + 898839018, + -1, + -1, + 421342972, + 954073241, + 445614854, + 190789410, + 477074728, + 343732046, + 287244957, + 292149830, + 886114253, + 809109632, + 957046935, + -1, + 898591646, + 49715281, + 74376051, + -1, + 787353146, + 569917879, + -1, + 627515105, + 671342975, + 670371675, + -1, + 313682207, + -1, + -1, + 130535906, + 828979646, + 511773703, + -1, + 54073383, + 470477864, + -1, + 175951310, + 681857206, + -1, + 476093857, + 749503118, + 620017259, + 167183373, + 237828291, + 394786240, + 99511889, + 464346404, + 947714718, + 283567823, + -1, + -1, + -1, + 617180054, + 320174571, + 979387815, + 953835741, + 42049728, + 237350157, + 917522157, + 661166675, + 367883848, + 252746733, + 437618380, + 934860538, + -1, + 845355996, + 569879081, + 566794739, + -1, + 988598048, + 606686943, + 61572660, + 553074593, + 921111338, + 290144006, + -1, + -1, + -1, + 760153109, + 646906997, + 540294274, + 305194052, + 845964271, + 843303423, + -1, + 666470148, + 967298161, + 592752090, + -1, + 320104986, + 776330149, + 411234810, + 99244197, + 225511838, + 417679502, + 559625198, + 94397674, + 417219609, + 641905728, + 507188547, + 376171393, + 587299497, + 39610807, + 415165951, + 344246294, + 334219849, + 318753860, + 559200340, + 38638013, + 381097695, + 145578443, + 155012444, + -1, + 622202481, + 105459425, + 491725775, + -1, + 591343042, + 72262708, + 535047314, + -1, + 336978777, + 398526424, + 507096085, + 825820791, + 298458234, + 795415317, + -1, + 766469384, + 745542900, + 617222788, + 677929425, + 181900100, + 944059955, + -1, + 704683703, + 586694339, + -1, + 869397561, + 896878938, + -1, + -1, + -1, + -1, + 806025572, + 644403381, + 963961443, + -1, + -1, + 886041962, + 920729389, + 338214455, + 287991447, + 902268118, + -1, + -1, + 799304217, + -1, + 286457390, + 316760126, + 795172559, + 803362384, + 939893945, + -1, + -1, + 449494197, + 961749523, + -1, + -1, + -1, + 196717303, + -1, + 945168427, + -1, + 815267304, + 868974359, + 269402381, + -1, + -1, + -1, + 435103760, + 523040904, + 952777933, + -1, + 847976179, + 694042454, + -1, + 409454719, + 387952761, + 51329379, + 739858611, + 621611551, + -1, + -1, + 657783267, + 925493158, + -1, + -1, + 685355088, + -1, + -1, + 553036862, + 539610754, + 242383019, + -1, + -1, + 773037161, + -1, + -1, + 122155674, + -1, + 148432260, + 815459499, + 765417622, + 219659555, + 13793295, + 274472442, + 944853059, + 664495350, + 405808666, + -1, + 124185714, + 874232292, + 932230189, + 470135406, + 454994442, + -1, + 719248937, + 213038982, + 143698055, + 444706880, + -1, + 841962621, + 392543590, + -1, + 65587991, + 81955945, + -1, + -1, + 189267391, + 227888972, + 612743662, + 484859302, + 642796007, + 730161184, + 987185306, + 592908816, + -1, + -1, + 883077613, + 141294144, + -1, + 520175073, + 728130973, + 538816854, + 769953938, + 646438224, + 239661551, + 785189843, + 153735774, + -1, + -1, + 278517914, + 31999340, + 838086766, + 651461579, + -1, + -1, + 377036420, + -1, + -1, + -1, + 55125479, + 433739796, + 280040340, + -1, + 447450669, + 244151903, + 855466109, + -1, + 757750513, + 522590454, + 593117739, + -1, + 543446480, + -1, + -1, + 817919091, + 49584660, + 405243845, + 714165371, + 306088188, + 693300878, + 341486939, + 434924766, + 273376951, + -1, + 91456871, + 966773576, + 451046415, + 870233121, + 840142551, + -1, + 469633824, + -1, + 870685689, + 574050806, + -1, + 419003258, + 918116113, + -1, + 526164203, + -1, + 174472380, + 56381831, + 588285348, + 11887676, + 754672588, + 622252439, + 842747595, + 638867067, + 592137253, + 309343857, + 438391438, + -1, + 735619815, + 739678511, + 494302965, + -1, + 626454514, + 140354739, + 282173597, + 599394027, + 871932095, + 947231600, + 466182828, + 377576330, + 181526452, + -1, + 691697735, + 743875155, + -1, + -1, + 8755833, + 863809577, + -1, + -1, + -1, + 252753639, + 9516288, + 23952320, + -1, + 814500499, + 384573235, + 969482733, + 920874744, + 996769423, + -1, + 304722231, + 310896746, + 321745161, + 415788167, + -1, + 162735915, + 634752787, + 802615670, + 956563713, + -1, + 988323806, + -1, + -1, + 877822238, + -1, + -1, + 977654834, + -1, + -1, + 769484249, + 408807879, + 253121858, + 74749730, + 912958191, + -1, + 989571030, + 987066528, + 141925469, + 763728844, + 37025243, + 307081114, + 20989044, + 981150458, + -1, + 214453015, + 165423550, + 360786544, + 48633356, + 320259596, + 50744650, + 681235261, + -1, + 311038499, + 880413398, + -1, + 642397974, + 586570619, + -1, + 68466882, + 182458061, + 962742298, + 253538702, + -1, + 946572341, + 122473712, + -1, + 703780665, + -1, + 271211527, + -1, + 391553805, + 220785947, + 324889880, + -1, + 911078569, + -1, + -1, + 358939333, + 451263349, + -1, + 997991847, + 641986163, + 82710273, + 906912667, + 719688146, + -1, + 722530100, + -1, + 396243131, + 14135024, + -1, + 895076830, + 742265500, + 227139931, + 121227552, + 575487838, + 1495189, + 371228592, + 185501321, + 729135217, + 950675128, + -1, + 905270803, + -1, + 383980034, + 761084669, + 255525398, + -1, + 777426791, + 526382997, + 464883225, + 827641031, + 109031231, + -1, + -1, + -1, + -1, + 780411080, + 661387494, + 936542423, + 312076003, + -1, + 564854614, + 942679124, + 325542158, + 457460678, + 466604805, + 674983140, + 542299655, + 207480923, + 576526061, + 936303113, + 813428359, + 744254012, + 106566689, + -1, + 616648865, + 242885730, + 764091269, + 466213127, + -1, + 604410608, + -1, + -1, + 532665546, + 383685845, + 778809538, + 343006073, + 252863777, + 640842935, + -1, + 309820608, + 922661402, + 270885032, + 136649591, + 111516266, + 778722797, + 219251160, + 617801492, + 436717732, + 702528633, + 303825997, + 697865434, + 202783880, + -1, + 558261950, + 122121517, + 933831508, + -1, + 777525628, + 752841667, + 356673833, + -1, + 331036233, + -1, + 697354510, + -1, + -1, + 482825123, + 486443979, + -1, + 896464741, + 851620876, + -1, + -1, + -1, + 379282271, + -1, + -1, + -1, + 773076425, + 988153875, + -1, + 137189995, + 791429087, + 769518795, + -1, + -1, + 292511061, + 447969636, + 745917095, + -1, + -1, + -1, + -1, + 261235806, + 891394724, + -1, + 690920081, + 20625029, + 260275355, + 440960829, + -1, + -1, + 721777103, + 545617930, + 865336710, + -1, + -1, + -1, + -1, + 123935297, + 472108866, + -1, + 582777262, + 64177843, + 337002398, + 559196565, + 106750843, + -1, + 45617821, + 753134966, + -1, + 743094776, + 455648408, + -1, + -1, + 423351453, + -1, + 651720395, + -1, + 886700146, + -1, + 566791499, + 66062104, + 834080699, + 362878936, + -1, + -1, + 474764341, + -1, + 431618834, + 893707813, + 171271304, + 666607745, + 42867863, + -1, + 282298385, + 529777797, + 625233735, + -1, + -1, + 988500945, + 421705492, + -1, + -1, + 714073653, + 466204069, + 49931377, + 217061741, + 331384924, + 904423886, + 331540765, + 742836335, + -1, + -1, + 37859141, + 604225549, + 52992310, + 830160727, + -1, + 95771633, + 845435534, + -1, + 392696616, + -1, + -1, + 23277600, + 569132921, + 854754764, + 33194705, + 595592173, + 258916101, + 58088085, + 515419494, + -1, + 382022169, + 662418063, + -1, + -1, + 343103630, + -1, + -1, + 732636432, + 173422559, + 759497559, + 262809988, + 361239313, + -1, + 201313253, + -1, + 835271627, + 404931436, + -1, + 541259216, + 645692268, + -1, + 504280625, + 623590225, + 439673669, + 293874220, + 210022696, + 789185392, + -1, + 435371778, + 626325670, + -1, + 685929728, + 931834703, + -1, + 739104260, + 808992522, + 479580774, + 109406260, + -1, + 492394482, + 260516185, + 922352999, + 453452069, + 921007401, + 140621084, + 88479147, + 294274464, + 368648267, + -1, + -1, + 668692177, + -1, + 559092218, + 116199168, + -1, + 565263492, + 717679694, + 932530777, + 129210997, + 153058951, + 994674468, + -1, + 365733111, + 46931837, + 409243910, + 271325454, + 757551977, + -1, + 175698040, + 603158611, + 612098019, + 44598405, + -1, + 438286681, + 703702416, + -1, + 667252309, + -1, + -1, + 166440533, + -1, + 184827638, + -1, + 447544462, + 50434551, + 509756276, + 754565482, + 222224127, + -1, + 442479446, + -1, + 80609040, + 700157054, + -1, + -1, + -1, + -1, + -1, + 347647601, + 706220131, + 153510251, + -1, + -1, + -1, + 796447072, + 574994740, + -1, + 684125297, + 198845362, + 309229666, + 751922631, + -1, + 352731958, + -1, + 127375883, + 604982198, + 298816109, + 957357754, + -1, + 517473621, + 115126104, + -1, + 953936760, + 721969921, + -1, + 515325215, + 167659830, + 810697478, + 705434294, + 251397231, + -1, + 619923736, + 834573625, + -1, + -1, + 410911965, + 992785803, + 775446339, + 714123843, + 970188141, + 360342878, + -1, + 639767057, + 211829192, + -1, + 781436869, + 747947851, + 305614483, + -1, + 560625664, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 195656843, + 888515574, + 419396405, + -1, + 165912140, + -1, + -1, + 784018058, + -1, + 116046155, + 30719156, + 132283222, + 268556149, + 288522394, + 239185336, + 133543296, + 976988881, + 724169994, + 855750257, + -1, + 943321502, + -1, + -1, + 503464146, + 607280850, + 741872065, + 277915424, + -1, + 571835931, + 978712266, + 330663808, + 689159530, + 673073068, + 219494851, + 21616085, + -1, + 356388438, + 611659788, + 797870486, + 512913815, + -1, + 222890098, + -1, + -1, + -1, + 545802523, + 178255013, + 405073658, + -1, + 647312659, + -1, + 944850262, + 175777552, + -1, + 791674711, + 689837686, + 528244297, + -1, + 919495985, + 228479785, + 637428795, + 871213461, + -1, + 632358469, + 44850191, + 245497434, + 530918545, + 539474973, + -1, + -1, + 965414338, + 465707456, + -1, + 604560522, + 31736414, + 848111136, + 289145444, + 686424800, + -1, + 17932739, + 370744505, + 479670553, + 559791235, + 505042453, + 955574690, + 99380690, + 766935009, + 342547819, + -1, + -1, + -1, + 383946467, + -1, + 582419734, + 358819691, + 152044846, + 715517076, + -1, + 128637609, + 323119444, + 831195455, + 566081417, + 781614179, + 330244311, + 519220814, + -1, + 371416199, + 543533518, + -1, + 287745611, + 691488808, + 530549242, + 686760995, + -1, + 963995618, + 424470176, + 330142255, + -1, + -1, + 286385585, + 696895394, + 708255909, + -1, + -1, + -1, + -1, + 645123591, + 338859261, + -1, + 250079158, + -1, + 101933716, + 469017439, + -1, + 662326959, + -1, + 633538017, + -1, + -1, + -1, + -1, + 777743475, + 153421375, + 891753373, + 756303824, + -1, + 583651240, + 632761152, + 915352169, + 346702692, + -1, + 268985266, + 816166266, + 230385202, + -1, + -1, + -1, + -1, + 533281458, + -1, + 702550417, + -1, + 289248783, + -1, + 354741592, + 81684504, + 693783705, + -1, + -1, + 542481636, + 162669635, + -1, + 147091403, + -1, + 842231042, + 467839223, + 55424315, + 485070414, + 452794928, + 752050338, + 237682542, + 591587564, + 181883547, + 295881081, + -1, + 555923233, + 593475068, + 625234958, + 274813478, + 372365128, + -1, + 643293758, + -1, + 581554770, + 256687364, + 223077069, + 758672734, + 904721539, + 14441618, + -1, + -1, + 792438928, + 188581347, + 161125941, + -1, + 9301638, + 156959484, + -1, + 69960333, + 597593478, + -1, + -1, + -1, + 106475755, + -1, + -1, + -1, + 909907260, + 228498365, + 504538384, + 370189238, + 827214759, + -1, + -1, + 392537446, + 894724101, + -1, + -1, + -1, + 729565206, + -1, + 763568204, + 136839178, + 897513687, + -1, + -1, + 590453958, + 328027374, + -1, + 667647060, + 208720830, + -1, + -1, + 872111562, + 117897529, + 185733823, + 177553454, + -1, + 656719541, + 742180827, + -1, + 445403799, + 360330240, + 471470423, + 614652953, + 582981012, + 750041142, + 766650303, + 457390661, + 122720273, + 945161595, + -1, + 428093912, + 874030913, + 254492890, + -1, + 608591869, + 297941050, + 142541407, + 662900882, + 390217337, + 579538859, + 387192218, + 631549724, + -1, + 684074835, + 757716987, + 460528702, + -1, + -1, + 872371642, + 229006013, + 67976684, + 30211999, + 168737988, + 499911387, + 447788924, + 15349197, + 694375712, + 927556530, + 553261261, + 208979304, + 84238613, + 423241694, + 933025116, + -1, + 261766175, + 357499991, + 64147640, + -1, + 956303553, + 637062954, + 256179973, + 214986351, + -1, + -1, + 533874229, + 103688757, + 448361912, + 236600117, + 702498807, + 562508530, + 435022709, + 100007723, + -1, + 539992449, + -1, + 163666647, + 509579418, + -1, + -1, + 677436276, + 724277835, + 928396255, + 88875703, + 660861212, + -1, + -1, + 250982699, + 147712104, + 864191410, + 240773609, + 347103257, + -1, + 21784669, + -1, + 442113180, + 633830690, + 158044950, + 688581836, + 341626137, + 309608483, + 917377729, + 571807799, + 588152860, + 92423901, + 88309500, + 379913707, + 417437972, + 881284520, + 699813311, + 739485359, + -1, + 724712039, + 404330015, + 857440201, + 924342723, + -1, + 111266134, + 853991979, + -1, + 255020430, + -1, + 743095042, + 449391073, + 464841449, + -1, + 644036444, + 520028257, + 955518405, + -1, + 230009611, + 198741550, + 827177590, + 18351960, + 852939756, + -1, + 620441000, + 557373491, + -1, + 845975037, + -1, + 186034130, + 584083797, + 979514178, + 462080368, + 695656465, + 800617854, + 487423923, + 11808268, + 723907005, + -1, + -1, + 264469703, + 981851059, + 774323424, + 13562737, + 950351486, + 29483785, + 388638788, + 960464779, + 70792834, + 537121167, + -1, + -1, + 874894396, + -1, + 627640231, + 476749292, + 334536089, + 608393832, + -1, + 507167311, + 357134398, + 251166023, + 264467724, + 636992720, + -1, + 717818879, + 363010436, + -1, + 10098661, + -1, + 112044579, + 814890306, + 21552967, + 640942165, + 453417683, + -1, + 670374313, + 783739790, + 736868187, + -1, + 473868228, + 136211937, + 718973130, + 951022422, + -1, + 63158948, + 219269908, + 621238263, + 30747866, + -1, + 615404013, + 295912005, + 369155997, + 169252063, + -1, + 826392017, + -1, + -1, + 989091326, + -1, + 90981442, + -1, + 129847771, + 700165626, + 255676279, + -1, + 451370308, + 441955401, + 69293314, + -1, + -1, + 766279081, + 470749266, + 535136867, + 83432494, + 442984717, + 596460309, + 114995616, + 658690206, + -1, + 555659458, + -1, + -1, + 77610024, + 242363170, + -1, + 52633858, + 901842818, + 616070211, + 853787524, + 164884233, + -1, + -1, + -1, + -1, + 352745697, + -1, + -1, + -1, + 351611915, + -1, + 521778474, + 820228011, + 174019456, + -1, + -1, + 165448691, + 126491560, + -1, + 691388083, + 183925251, + -1, + 339196828, + 425731887, + 873318693, + 766176699, + -1, + 715921855, + 965295821, + 653390067, + 62133697, + 45242439, + 357865827, + -1, + -1, + 605389648, + 238341398, + -1, + 888039900, + 356779217, + 851100886, + -1, + 673108385, + 665362389, + -1, + 233972803, + -1, + 156040769, + 76101160, + 8034032, + 658298317, + 103528709, + 543129273, + 291149414, + -1, + 612421521, + 202780809, + 537127095, + 659049555, + 549297525, + 442158738, + 500116210, + -1, + 677864870, + 29887686, + 51263459, + 622698019, + -1, + -1, + -1, + -1, + 390817593, + 538973880, + 115130472, + 621552458, + -1, + 216671222, + -1, + 231700091, + -1, + 308251125, + 54720185, + 541681365, + 928172580, + -1, + -1, + 355410245, + 961029096, + 308153015, + 75386657, + -1, + 430935307, + 945134730, + 554733958, + -1, + -1, + 544971344, + 770727082, + 266062645, + 126447594, + -1, + 850526394, + -1, + 481447578, + -1, + 369063475, + 494412207, + 209744720, + 987582112, + 671698672, + 173335177, + -1, + 802788233, + 707283582, + 53490603, + -1, + 755072764, + 468437898, + 333153796, + 938270076, + 211923103, + 171552009, + 658945241, + 311151701, + -1, + -1, + 464626958, + 446453516, + -1, + -1, + 819520839, + 806905588, + 495477220, + -1, + 619016053, + 591896986, + -1, + 798807512, + 429130998, + -1, + 602346362, + -1, + 966840248, + 698376158, + 974588828, + 530969350, + 963899751, + -1, + 458235304, + 217954555, + -1, + 250203719, + 161097898, + -1, + 537432323, + 85003600, + 239181218, + 556872182, + 384147148, + 188584864, + 549573572, + 461180293, + 375783801, + -1, + -1, + -1, + 288817568, + 791493520, + 383349843, + 849531333, + 237242123, + 456696977, + 663469911, + 249673798, + 314744276, + 707395451, + 699462845, + -1, + 822535454, + 950071379, + 421435725, + 995196864, + -1, + 20344932, + -1, + 4073903, + 746424713, + 93978045, + 6672579, + 999781086, + -1, + 947907539, + -1, + 566939214, + -1, + -1, + 533234208, + 622442871, + 37751101, + 346086090, + 1091106, + -1, + -1, + 906947132, + 725007265, + -1, + -1, + -1, + 942391704, + 226421739, + 200073997, + -1, + 241677584, + 789756619, + -1, + -1, + -1, + 524783636, + 99345908, + -1, + 138280755, + -1, + -1, + 281664007, + -1, + 557469295, + -1, + 578295351, + -1, + 591961012, + 159449293, + -1, + -1, + 296117328, + -1, + 796938344, + -1, + 230952232, + 943965171, + 304425789, + -1, + 641082729, + 4225697, + -1, + -1, + -1, + 720119180, + 273058422, + 724703648, + -1, + 426754957, + 850912386, + -1, + -1, + 565302658, + 920455842, + -1, + -1, + 206311672, + 607571591, + 860933352, + -1, + -1, + 391518941, + 774264159, + 489996217, + -1, + -1, + 774062269, + 887306204, + 335708665, + 115052545, + 74910067, + 286157990, + -1, + -1, + 24676012, + 136011022, + -1, + 119616481, + 776580542, + 40679818, + 668353854, + -1, + 813667418, + 33978485, + 714427717, + 574719496, + 23035152, + -1, + 64196340, + -1, + -1, + 573782415, + 550536722, + 641626294, + -1, + 725637824, + 989851795, + 332067660, + 32022276, + 411401766, + 129914750, + -1, + -1, + -1, + -1, + 581755465, + 397953418, + 357386349, + -1, + 613963906, + 157478870, + 553250188, + 137119564, + 737433138, + 369012085, + 222160791, + -1, + 856452110, + 384545919, + -1, + -1, + 847413408, + 36592523, + 718165511, + -1, + -1, + 836354022, + -1, + 189406399, + 333758498, + 424880168, + -1, + -1, + 625933860, + -1, + 186995586, + 467314357, + 185787823, + 787894285, + -1, + 821616103, + 400183539, + -1, + 387768283, + -1, + -1, + 204454269, + -1, + 75245494, + -1, + 937124157, + 425515859, + 453484984, + 792948847, + 408113626, + 871698350, + -1, + 214501464, + 422552393, + -1, + -1, + 48682070, + 534802341, + 670827970, + -1, + 704485318, + -1, + -1, + 119175374, + -1, + -1, + 23240441, + 899987948, + -1, + 709810745, + -1, + 898427372, + 852280406, + 66412598, + -1, + -1, + 301409345, + 466162193, + -1, + 556253001, + 573601063, + 506812931, + 975719801, + -1, + 908990729, + -1, + -1, + 531559334, + -1, + 12452060, + -1, + 350425734, + 827671801, + 573618970, + -1, + 103825661, + 802863844, + -1, + 837279263, + -1, + 532406575, + 28104328, + -1, + 819821311, + 425763446, + 321327394, + 318896343, + 978824075, + -1, + 874914061, + 558611001, + -1, + 749930822, + -1, + -1, + 468927403, + -1, + 441828717, + 32761975, + -1, + 791260045, + 490095750, + -1, + 859046126, + -1, + -1, + -1, + 114938206, + 496607963, + -1, + 63172314, + 760854661, + -1, + 144675823, + 481687181, + -1, + -1, + 161971567, + 542758661, + -1, + -1, + 32706262, + 805088944, + 681955101, + -1, + 267856783, + 633425402, + -1, + -1, + 580148264, + -1, + 495407535, + 28121986, + 862889833, + 166890777, + -1, + 796035183, + 543031753, + -1, + -1, + 354434301, + 432779615, + -1, + 805483767, + 677747756, + -1, + 684511865, + -1, + 320865246, + 998237437, + 223502200, + 44382299, + -1, + 509713204, + 574886638, + 433268209, + -1, + -1, + -1, + 551158022, + 814748820, + 956457719, + 584141210, + -1, + 870036071, + 186880550, + 18305496, + 168719081, + 191827266, + 672415044, + -1, + 134344034, + 103122814, + 364196842, + 479980660, + -1, + -1, + 928850496, + 691099867, + 369692879, + 613533826, + 619903578, + -1, + -1, + 345099196, + -1, + 181497997, + 130896382, + 394731503, + 52644153, + 657694200, + -1, + 909186684, + 67419846, + 638334489, + 307967298, + 106743536, + 304966782, + 392195036, + 466862907, + -1, + -1, + 223092333, + -1, + 681885954, + 802460698, + 397608897, + -1, + 519535996, + -1, + 138485649, + -1, + -1, + 563670354, + 536310253, + 199887781, + 838724394, + 503029562, + 602822458, + 739107773, + 415709581, + 619368144, + 919372932, + 457810942, + 103864932, + 835626244, + 850768050, + 446892043, + -1, + 357376855, + 493974574, + -1, + 999510721, + 446213444, + 314633062, + 454618131, + 259335587, + -1, + 532945863, + -1, + 128717315, + 621612630, + 603944697, + 633606951, + 771627956, + 207259744, + 199533360, + 928617890, + 664439522, + 884913403, + 932811603, + 393734856, + 634051974, + 513666986, + 813358033, + 971440513, + 313019685, + 774968300, + 738350428, + 595320052, + -1, + 876885380, + 177475890, + -1, + 420791598, + 679527831, + -1, + 615782974, + -1, + -1, + 383166897, + 458727377, + 647544112, + 815917329, + 763099548, + 338016403, + 481982738, + 833371872, + 166463679, + 475545661, + -1, + -1, + 867539894, + 235778322, + -1, + 440129379, + 988564816, + -1, + 452288100, + 113603301, + 622635912, + 736660677, + 740873285, + -1, + 606192984, + 792938344, + 575127880, + 659324639, + 503159774, + 817652264, + 789310381, + 535936489, + 284998563, + 821477844, + -1, + 861092468, + -1, + 329054772, + -1, + 339692047, + 358770544, + 465619556, + 140000853, + 704886237, + -1, + 204555257, + 666004647, + 870421455, + 663790461, + 293446756, + -1, + 256103313, + 892318177, + 663173586, + 388508930, + 890510488, + 123961725, + 961785465, + 273453510, + 437276674, + 587020319, + 888137222, + 146044145, + -1, + 948729053, + -1, + -1, + 356922763, + 652134631, + 547895390, + -1, + -1, + 132111723, + 181180912, + 40259470, + 293204353, + 772233848, + 31198624, + 91891542, + 289248618, + -1, + 257167018, + 640747986, + -1, + -1, + -1, + 476009782, + 362516852, + -1, + 457907373, + -1, + 528475671, + 184949462, + 160681261, + 1511747, + 166669020, + -1, + -1, + -1, + 733251357, + 145173825, + -1, + 709991734, + 437905098, + 880679545, + 447916249, + 728372376, + 282340122, + 447659192, + -1, + 538483488, + -1, + 580561396, + 672300570, + 242920088, + -1, + 115022992, + 568489643, + 306806584, + 24930733, + -1, + 636040592, + -1, + 923800670, + 208345551, + 678288020, + 918260020, + 249494319, + 611565980, + -1, + 130704107, + 828471160, + 955424794, + 980939427, + 703032906, + -1, + 106961421, + -1, + 186189350, + 451026338, + -1, + -1, + -1, + 128100967, + 855494388, + -1, + 708047059, + 984265199, + 923217052, + 220377770, + -1, + 267094695, + 814610450, + 871324740, + 297046336, + 80998448, + 403280552, + 468392061, + 877879343, + -1, + 68100439, + -1, + -1, + 720433326, + 646407346, + 51088391, + 65443324, + -1, + -1, + -1, + 440760662, + -1, + -1, + 218736844, + 952566591, + -1, + 229789798, + 922862240, + 942868223, + 990208137, + 843163825, + 623556527, + 39881295, + 166015641, + 511869374, + -1, + 618996738, + 917467189, + 592602803, + 655376967, + 686953354, + 197466187, + -1, + 713687252, + 512108183, + 656878132, + 958766303, + -1, + 336487543, + 151809185, + -1, + 406636035, + -1, + 557713933, + 895579539, + -1, + 280947621, + 95446751, + 165007553, + 225759610, + -1, + 196014129, + -1, + 844325913, + -1, + 5872139, + 919919646, + 561885674, + 702532421, + 232495430, + 183276555, + 536635139, + 148011021, + 25999205, + 79130956, + 464923511, + -1, + 275364315, + 910201705, + 255275250, + -1, + -1, + -1, + 968394988, + 241791772, + 845800562, + 295717434, + 565256781, + -1, + 245711189, + 920393223, + 467135706, + 370323385, + 470696477, + 316723869, + 825124561, + 156706361, + -1, + 880905041, + 287209920, + 670567935, + 542552436, + 636143034, + 259043039, + 455971591, + -1, + 118234825, + 511236683, + -1, + -1, + 925999549, + -1, + 818814024, + -1, + 867021616, + -1, + 663302224, + 350064422, + 864230495, + -1, + 603062787, + 64916300, + 96044473, + 204873441, + 792026335, + 435690081, + 35849617, + 833676850, + 128178315, + 194858124, + 89993980, + 465752478, + 206890733, + 772021939, + 65712616, + 122995169, + -1, + 37163999, + 503552159, + -1, + -1, + 19906524, + 890649630, + -1, + -1, + -1, + 696486929, + 484156958, + 79789513, + -1, + 35650315, + 702876300, + 479672841, + 623873935, + -1, + -1, + 623492869, + 937740012, + -1, + 179387326, + -1, + 788428594, + 266090291, + -1, + 230615897, + -1, + 549855083, + 888022737, + 914040315, + 898556847, + 67763530, + 822127513, + -1, + 694692791, + 405825991, + -1, + 517330713, + -1, + 130273110, + 407276912, + 779695700, + -1, + 686050733, + 721018009, + -1, + -1, + 267097099, + 187220680, + 5261681, + -1, + 947459416, + 75503946, + 582782535, + 33147055, + -1, + 232168494, + 943548029, + -1, + -1, + 554812290, + 27994966, + 488619634, + 907513547, + 452255643, + -1, + 9783012, + 462429702, + 286397033, + 492699261, + 234013628, + 185585903, + -1, + 639220839, + -1, + 327926415, + 726232552, + 663414768, + 784786071, + 194691201, + 758199870, + 740428988, + -1, + 626754496, + 962488466, + 620642845, + 326383389, + 955325894, + -1, + 913151406, + -1, + 70106627, + -1, + -1, + 613767178, + 191386128, + 663896409, + 419438224, + 772606511, + 296560234, + -1, + 121365360, + 424384136, + 998337862, + 525261949, + 76347872, + 292178019, + -1, + -1, + 575385529, + 547647639, + 277767179, + -1, + 305597013, + 427815861, + 51660747, + 123142029, + 65883169, + 544158833, + 156448004, + -1, + -1, + 956582830, + 673505613, + -1, + -1, + 66431083, + -1, + 706591619, + -1, + 706204192, + 901041535, + 207220202, + 729692150, + 34065986, + 371788477, + -1, + 441861542, + 794717095, + 509603390, + 690341025, + 845550380, + 804362087, + 167584979, + 871228469, + 19776577, + -1, + 291118787, + 507632649, + -1, + 974519542, + 126975950, + 895206784, + -1, + 854775363, + 753855813, + -1, + 745704318, + 203143516, + 998386009, + 363128640, + 793227826, + 2656571, + 284390585, + -1, + 510350731, + -1, + 700402233, + 407576718, + 697066575, + -1, + 163276434, + 265828699, + -1, + 467661424, + -1, + 659115088, + -1, + -1, + 433536222, + -1, + 443088082, + 72344342, + 218743454, + 793532826, + 78394412, + 222030918, + 492979665, + 717283574, + -1, + 870085865, + 520379504, + -1, + 229387061, + -1, + -1, + 179225754, + -1, + 328877412, + -1, + 153058003, + 611717215, + -1, + 99740118, + 236529525, + 186601797, + -1, + -1, + 7025463, + -1, + 620278952, + 976568783, + 166324776, + 959631618, + 510365288, + 635653570, + -1, + -1, + -1, + 949547727, + -1, + 825826614, + 728056135, + -1, + 777481881, + 374682125, + 49116093, + -1, + 616405144, + -1, + 691883794, + 906672439, + 229063810, + 874892833, + 488740602, + 125206771, + 268301375, + 55641049, + -1, + 16994746, + 492194265, + 873560484, + -1, + 403398861, + 980378196, + 823941812, + 756330725, + -1, + 741004192, + 892468047, + 931884920, + 416538328, + 780806102, + 896218282, + -1, + 134686792, + -1, + 139416405, + -1, + 935785485, + 909574601, + -1, + 277181217, + 266096025, + 714168033, + -1, + 507934607, + 995958556, + 491560820, + 543532218, + -1, + -1, + 925997773, + 958177469, + 69901945, + 256942133, + 915212544, + 106725638, + -1, + 554560131, + 609537026, + 367313361, + 894816711, + -1, + 469343628, + 986239642, + 990605552, + -1, + 982740805, + 513280632, + -1, + 524768013, + 585529530, + 133357964, + 499611616, + 364005309, + -1, + 298799302, + -1, + 39299756, + 671386304, + -1, + 999932944, + -1, + -1, + 972121034, + -1, + 989037721, + 954821750, + -1, + -1, + 291983826, + -1, + 127651155, + 404846051, + -1, + 825303053, + 222541718, + 140439957, + 868470120, + -1, + -1, + -1, + -1, + 433537173, + -1, + -1, + -1, + 990816324, + -1, + 874234485, + 61174589, + 360686969, + 138367643, + 307884048, + 100465073, + 242795626, + -1, + 147833961, + 532370396, + 502998641, + -1, + -1, + 130767003, + 858710122, + 931253556, + -1, + 252925863, + 853115148, + 814488896, + -1, + 914525270, + 860760688, + -1, + 191929085, + 692039474, + -1, + -1, + 848242394, + -1, + -1, + 595069013, + 827550140, + -1, + -1, + -1, + -1, + 717163343, + 1649358, + 790407150, + 604647699, + 791279138, + 74028641, + 794610478, + -1, + -1, + 443191190, + 234782753, + 583512398, + 802345064, + -1, + 244986735, + 958187229, + 60737945, + 701550904, + 469571736, + 165315988, + -1, + 949902277, + 357201431, + 388170010, + 14042446, + 516512955, + -1, + 53637367, + 24886949, + -1, + 261668695, + 642867755, + 494281114, + 937236540, + 179417750, + -1, + 847810741, + -1, + 767179030, + 638044700, + 749164950, + 933652226, + 904801070, + 955526290, + -1, + 275814093, + 155663474, + 820240027, + -1, + -1, + 126610653, + 862885363, + -1, + 301989128, + -1, + 415697896, + 124342215, + 403618811, + 227019727, + -1, + 930994259, + -1, + -1, + 581177982, + 879099431, + 751542235, + 554442086, + -1, + 971852817, + 873036356, + 377967029, + -1, + -1, + -1, + -1, + 567720187, + 192474972, + 150084569, + 285129452, + 785965503, + 223731189, + -1, + 399532453, + -1, + 238784079, + 893460042, + -1, + 979297000, + 487995833, + 233381675, + -1, + 784279335, + 572593574, + 891516267, + 741031860, + 695244715, + 646251592, + -1, + 19218383, + 730784145, + 242861449, + 872672874, + -1, + 594528505, + -1, + -1, + 779169399, + 98036988, + -1, + -1, + 261380377, + 4493138, + 89513697, + 33360058, + -1, + 202257499, + -1, + 482951805, + 361570275, + -1, + 920975494, + 624774871, + -1, + 164978577, + 872432769, + 914600124, + 17843710, + 9863625, + -1, + 135898337, + 599336270, + -1, + -1, + 408606353, + 437174956, + 166538949, + 990890088, + 431754375, + 314978910, + 291824477, + 550502335, + 730977819, + 703465741, + -1, + 811093978, + -1, + -1, + 853643418, + 68020234, + 923417625, + -1, + -1, + 437645419, + -1, + 979864510, + 883350392, + 364840987, + -1, + 818354733, + -1, + 198338820, + 663279868, + -1, + 38326028, + 245044242, + 832986942, + 71264227, + 862659051, + 719427946, + 237675172, + -1, + 191198246, + 53870084, + -1, + 406208098, + 783868930, + -1, + -1, + -1, + -1, + 908665238, + 915687039, + -1, + -1, + 482126654, + 139267754, + 56751544, + 424485314, + 958605149, + 932082027, + 8441300, + 325325286, + -1, + 423658307, + 746385947, + 502122105, + 392193731, + -1, + 509407493, + 501112049, + 56123586, + 603410939, + 593287251, + 210330999, + 234981169, + 857809149, + 626079530, + 302540697, + 316782294, + 946703836, + 838978431, + 395689728, + 62667075, + 74016975, + 245437937, + -1, + 239560668, + -1, + 931595421, + 187221628, + -1, + 891621527, + -1, + 2770015, + -1, + 225926186, + -1, + 178074980, + 612011288, + 101497167, + -1, + 497651305, + 727015312, + 241477116, + -1, + 808018028, + -1, + 907795557, + 108227135, + -1, + -1, + 309742737, + 304521879, + -1, + 180377896, + 997922892, + 206543455, + 500955783, + -1, + -1, + 88924008, + -1, + -1, + 588946468, + 558783930, + -1, + -1, + -1, + 151118709, + 621093565, + 956659746, + 32944571, + 981164979, + 449147208, + 181809976, + -1, + -1, + -1, + 57686076, + 803314808, + -1, + 157669532, + 374032928, + 477096675, + 96797534, + -1, + 824835039, + -1, + 540507615, + 776415940, + -1, + -1, + 287563498, + 112146243, + 513572091, + -1, + -1, + -1, + 440607316, + 670569932, + 957320197, + 53028735, + -1, + 149865977, + 146180687, + 40416700, + 386785284, + 855800812, + -1, + 359262498, + 608304165, + 46447683, + 675648582, + 610005013, + 408074889, + 560168419, + 96196398, + -1, + 290120484, + 192739272, + 147705966, + 142063819, + -1, + 505238815, + 943122283, + 80064195, + 354211185, + -1, + 183720925, + 161447940, + 700272432, + 902155910, + 155391723, + -1, + 661845533, + 563189192, + -1, + 109309645, + -1, + 587683000, + -1, + 605874053, + 903396156, + 842479196, + -1, + 302189687, + 445006317, + -1, + -1, + 698698803, + 232487083, + -1, + -1, + -1, + 52101444, + -1, + 726296197, + 30879701, + 884506453, + 854595958, + -1, + 138378039, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 36781756, + 943356991, + -1, + 271740281, + 5077124, + -1, + 650164694, + -1, + 785820654, + 159705873, + 322317486, + -1, + -1, + 548007987, + -1, + -1, + 136650939, + 561744141, + 473593890, + 245465307, + 380178658, + 415481283, + -1, + -1, + 407869756, + 814686159, + 510658983, + -1, + 518758514, + 641061800, + 329094946, + 789387591, + 429704986, + 658023209, + 969965147, + 363981755, + -1, + 902910856, + 986107570, + -1, + 60407258, + 605115114, + 895067240, + 414153641, + 44702157, + 793679869, + -1, + 528651231, + 415972138, + 655173366, + 772536974, + 319956342, + 676899642, + 786583453, + -1, + 277193585, + 5933340, + -1, + -1, + 862006609, + 399890746, + 972466806, + 122265219, + 374176038, + 624794139, + 305718666, + 113675471, + -1, + -1, + -1, + -1, + 905536506, + -1, + 142306414, + 565332133, + 23188915, + -1, + 632230175, + 825862030, + -1, + 84721500, + 977935007, + 682783988, + 403202358, + 604906001, + 979388880, + 481892647, + 436754097, + 364906238, + -1, + 615750076, + -1, + -1, + 660879632, + 746565680, + -1, + -1, + 47725529, + 613038729, + 47965217, + 343489375, + -1, + -1, + 768658684, + 317044736, + -1, + -1, + 562617074, + 389803294, + -1, + -1, + 888923544, + 448210938, + -1, + -1, + 745673335, + 131681164, + 692701493, + -1, + 529286981, + -1, + -1, + 36265770, + -1, + 978988530, + -1, + -1, + -1, + 840048824, + 900260800, + -1, + -1, + 964569661, + 458291382, + -1, + -1, + 127609713, + 380712141, + 995787165, + 692303656, + 326963422, + 121276079, + 575896746, + 234880755, + 861497157, + 432922669, + -1, + 33047915, + -1, + -1, + -1, + -1, + 659883992, + 353268409, + -1, + 846207060, + 250338967, + 56497594, + -1, + -1, + 852908766, + -1, + 421331193, + 420755852, + -1, + 536986356, + 979327480, + 189099173, + 216451629, + -1, + -1, + -1, + -1, + -1, + 3154477, + -1, + 217865142, + 395813806, + 106052633, + 860206817, + 153708874, + -1, + 38503736, + 696782194, + 837477720, + 910787379, + -1, + 917278106, + 106968577, + -1, + 955520833, + 839058345, + 898772585, + 448630700, + 136718572, + -1, + -1, + 293260742, + 884139536, + 926919594, + 23214358, + 715992129, + -1, + -1, + 801143465, + -1, + 755346566, + 4441894, + -1, + 751419380, + 356847196, + -1, + -1, + -1, + -1, + 97632356, + 338113013, + 329087330, + 268535157, + 391455755, + 767270106, + -1, + 70085733, + -1, + -1, + 596350896, + 93291044, + 303482056, + 109261446, + 989943026, + -1, + -1, + -1, + -1, + -1, + -1, + 498587568, + 94790671, + 275285954, + -1, + -1, + 852703960, + 22639774, + 331361811, + 205006604, + -1, + 630862454, + 284205, + 860183307, + 469671054, + 159882080, + 776544756, + 882609094, + 499827942, + -1, + -1, + 975481947, + 578059440, + -1, + 940523246, + 751495271, + -1, + 393913523, + -1, + 818408440, + -1, + 979194547, + 244288567, + -1, + 256240529, + 647181277, + 935215657, + 29965325, + 158284939, + 737635325, + 657242828, + -1, + -1, + -1, + 332180632, + 897435235, + 583367724, + -1, + 19471217, + 576815550, + 406600361, + 289200077, + 486374560, + -1, + 96064050, + 294720846, + 573247163, + 153045221, + 578880761, + 698868811, + 158991038, + 936787437, + 715784150, + 155501354, + 355238100, + 970973865, + 232190439, + 758083386, + -1, + 9336527, + 432387386, + 596102681, + 377014629, + -1, + 895222587, + -1, + 285520455, + 862635175, + 353269267, + 586839684, + 431983827, + 903910284, + 848794624, + -1, + 478420170, + -1, + 214585580, + -1, + -1, + -1, + 646732949, + 937514356, + -1, + -1, + 428718620, + 692047612, + 62208382, + 453831712, + 801199207, + 831639664, + 965766021, + 135754412, + -1, + 437457583, + 114909511, + 432100913, + 221215951, + 441089603, + 17727138, + 636353627, + 432903476, + -1, + 770857814, + 180145731, + 504853986, + -1, + 686875712, + 573786289, + -1, + 578845286, + 313110844, + 120414001, + 450452106, + -1, + -1, + -1, + 785975449, + 257050369, + -1, + 330889019, + 689626228, + 556870913, + -1, + 727715372, + 555965067, + 786182340, + 902792701, + 680551519, + 619629467, + -1, + 300759201, + -1, + 608521932, + -1, + -1, + 870670836, + 277425835, + 128778815, + 820219633, + 815391762, + 453770095, + 782111963, + -1, + 726596562, + -1, + 660376530, + 729827666, + 38500108, + 689267007, + -1, + 51805328, + -1, + 539801878, + 797403351, + -1, + 529964947, + 317701631, + -1, + 265377344, + 883387751, + 629244828, + -1, + 306237481, + -1, + 366189205, + 931465866, + 85730836, + 154171228, + -1, + 14801365, + 69716772, + -1, + -1, + 334964620, + 717435618, + -1, + 927654534, + 510030241, + 861298378, + -1, + 472219509, + 783692928, + -1, + 205548138, + -1, + 888819246, + 195788865, + 255105, + 616890144, + 248749023, + 163170419, + 151921670, + -1, + 965180261, + -1, + 825557228, + -1, + 657576575, + -1, + 665619355, + -1, + 42663422, + 574960588, + 570948374, + 910326307, + -1, + 306602203, + 442833239, + 674858236, + -1, + 848274440, + 762823490, + 367085283, + 522453330, + 101906117, + 379558554, + -1, + -1, + 15383070, + 852271375, + -1, + 480688090, + 75622016, + 746211766, + 575193948, + 677069355, + 481569412, + 573673696, + 73849272, + -1, + 291310700, + 920490938, + -1, + 780119674, + -1, + 837069117, + 797284981, + 763223605, + 751038699, + 667213752, + -1, + 915131600, + 867947449, + 559384447, + 540622959, + 773995755, + 218686628, + 416580866, + -1, + 52233613, + 757113424, + 832603147, + 247862483, + 732431695, + 487662142, + -1, + 487780402, + 557149461, + 516148087, + 678484573, + -1, + 325730771, + 136204797, + 722175642, + 400479242, + 333175170, + -1, + -1, + 996773780, + 613960440, + 576671874, + 108231349, + 838860621, + 918410305, + 483279269, + -1, + 480727095, + 888013931, + -1, + 99731886, + -1, + 205124943, + -1, + -1, + 960749214, + -1, + -1, + -1, + 632926085, + 597397991, + 797410259, + 863496610, + -1, + 385451721, + 863766150, + -1, + 877160812, + 412171766, + -1, + 480923082, + 934303348, + 233389424, + 272212103, + -1, + 874604177, + 967639857, + 798188696, + 774805183, + -1, + -1, + 581435270, + 688744935, + 268587578, + 34270700, + 624948655, + 816877099, + 229238883, + 195433218, + 241562243, + 390501778, + 186379942, + 180441964, + -1, + 831005896, + -1, + 768647932, + 750870055, + 492445892, + -1, + 337772438, + 510544084, + 14021164, + 368130752, + 357941128, + -1, + 964611556, + 496334818, + 589694751, + 945153784, + 503614144, + -1, + -1, + 394898399, + -1, + 5289887, + -1, + 921584914, + -1, + 70779839, + 567707826, + -1, + 756812816, + 331586774, + 109782719, + -1, + -1, + -1, + 780358147, + 532760760, + 626636402, + -1, + 487285921, + 46032036, + 120691761, + 331943765, + -1, + 829391527, + 864488972, + -1, + 465337203, + 371543772, + 461707040, + 209458596, + 445220124, + 358145133, + -1, + 794912067, + 866933638, + 760496539, + 495739931, + 692605846, + -1, + 838247169, + 542647113, + 500084429, + 270646934, + 271114945, + 502042619, + -1, + 878623130, + -1, + 23704434, + 452286164, + 337322054, + 731653168, + 727796374, + 548831215, + 203341652, + 682406201, + 203815469, + 865849291, + 949179936, + 81041120, + 622572699, + -1, + 882834732, + -1, + 71507541, + -1, + 745225220, + 945027581, + -1, + -1, + 371345188, + -1, + 677383239, + 188128084, + -1, + 681642174, + 196971369, + 969019095, + 679654075, + 306011582, + 583064827, + 345426942, + -1, + -1, + 21146864, + 780244698, + -1, + 108808209, + 457127134, + -1, + -1, + -1, + 397352105, + -1, + 867576712, + 59330099, + 951611740, + 757057583, + -1, + -1, + -1, + 958760339, + 112971005, + 668712387, + -1, + -1, + -1, + 368627457, + 965776205, + -1, + 218117789, + 280836162, + 487503900, + 426268349, + 380638974, + 517672868, + 884764049, + 926457691, + 894426432, + 309015975, + 768336076, + 54866458, + 921998598, + 307702468, + 861975425, + -1, + -1, + 584446786, + 862640499, + 916116537, + 867716815, + -1, + 894928153, + 965478915, + 578508906, + -1, + 697837025, + 453233382, + -1, + 759227372, + -1, + 134542962, + -1, + 409258778, + 27384339, + 556910673, + 321831577, + 257965185, + 353171086, + 732361550, + 197352583, + -1, + -1, + 102556184, + 165107416, + 319120862, + 646420680, + 142678410, + 225588702, + 815186204, + 13749634, + -1, + 579246875, + 77207592, + 93972839, + 666505919, + -1, + 545681586, + -1, + -1, + 32237576, + 237114615, + 218592812, + -1, + 797383820, + -1, + 35929744, + 342950684, + 334560086, + -1, + -1, + 584772857, + 389769622, + 54657986, + 279192370, + 109491364, + 953940943, + 579829367, + -1, + 797076600, + -1, + -1, + -1, + 409210290, + 986960628, + 652049814, + 442348503, + 53528827, + 954320424, + 877672388, + 206032614, + 904270670, + 851628201, + 203572825, + 599665738, + 769790748, + 973174477, + 469582739, + 204167892, + 877070825, + 443405830, + 748973856, + 802329672, + 337394353, + -1, + 626267396, + 208190450, + 53232224, + 362173040, + -1, + -1, + -1, + 765623945, + 52607898, + 682910290, + 370376030, + 844875135, + 704656476, + 933569744, + 736854303, + 914009449, + 214575773, + 612577845, + 547748429, + 559535577, + 573127689, + 673195899, + 470846486, + -1, + -1, + 192025424, + 596831393, + -1, + 510251130, + 154701422, + 294064910, + 590351235, + 374518683, + 598947122, + -1, + 74912156, + 165442344, + 391040731, + -1, + -1, + 804732184, + 729542856, + 453768842, + 313535749, + 745379492, + 216912982, + 703031622, + 824582522, + 865247699, + -1, + 650867506, + -1, + 716851583, + 710576045, + 196326467, + 812667463, + 54995860, + 843605586, + 966917488, + 507078109, + 69393189, + -1, + 905985284, + 348038240, + 766460427, + 186115429, + -1, + 798981647, + -1, + 334643695, + 143641769, + 880363600, + -1, + -1, + 69846355, + 768865088, + 191857974, + -1, + 237669898, + 534884800, + 263528558, + 454013808, + -1, + 420569748, + -1, + 543323196, + -1, + -1, + 212878590, + 564619119, + 852114650, + -1, + 149630837, + 120081731, + 882993313, + 649989708, + -1, + 673618265, + 71697390, + -1, + 479736963, + -1, + -1, + 473950109, + 344335732, + 327229586, + 53710434, + 876482562, + 253249348, + -1, + 487967754, + 770066037, + 581321736, + -1, + 486266621, + 793211743, + 445976820, + -1, + 806758806, + -1, + -1, + -1, + 203934343, + 764621763, + 317325402, + 923243731, + 211595128, + 548162279, + -1, + 705418736, + -1, + 632953234, + 262580568, + 555263435, + 674259187, + 299312429, + 670124338, + -1, + 148572887, + 36946694, + 659886059, + 259816163, + 287749082, + 740255719, + 151393460, + 973941962, + 920574753, + 551507317, + 466681750, + 317038657, + 501202556, + 816683657, + -1, + -1, + -1, + 32229931, + 928021300, + -1, + 334106233, + 29845978, + 636392783, + 326264566, + 704162640, + -1, + 974481461, + 630985996, + 791338390, + -1, + 980928659, + 320150932, + 23298094, + 745654810, + 437728030, + 821331148, + 451065385, + 185429268, + 576028579, + 189731227, + 989065607, + 513320199, + 210975741, + 821220288, + 670197645, + -1, + 285726243, + 154651403, + -1, + -1, + -1, + 100887899, + 283260681, + -1, + -1, + 762095827, + -1, + -1, + 16973476, + 621009826, + 421113029, + 738452906, + 436102835, + -1, + 947537056, + 464510337, + 8389246, + -1, + -1, + 427279778, + 890318180, + 709449988, + 929654019, + 572517360, + 80883613, + -1, + 46018063, + 928811554, + -1, + -1, + -1, + 150546403, + 612058754, + 838431181, + 593803062, + -1, + 978752099, + 302744319, + -1, + 25345487, + 324514584, + 359059611, + 750781102, + 531164858, + 542442274, + 549078707, + 695434740, + -1, + -1, + 514563254, + -1, + 488083563, + 419119987, + 775938333, + 201054148, + 824836273, + 962080171, + 983883477, + 566557703, + -1, + 353055103, + 548334357, + 533599599, + 307311491, + 359893413, + 158040757, + 912155466, + 264893969, + 478515567, + 979242700, + 512427523, + -1, + 521312576, + -1, + 133846713, + -1, + -1, + 620964594, + -1, + 361401150, + 776150154, + 139698134, + 916133976, + -1, + 938684038, + -1, + 309395985, + 43980582, + -1, + 653852079, + 350187848, + -1, + 20218408, + 435478546, + -1, + 942379844, + 187769272, + 249667670, + 122323859, + 298016715, + -1, + -1, + -1, + 281701660, + 78131196, + 44591870, + -1, + -1, + 761404174, + 665540519, + -1, + -1, + 945753810, + 767259653, + -1, + -1, + 722162581, + 948547986, + 520546641, + -1, + 632013523, + -1, + 255373895, + -1, + 54574699, + 670656292, + 576136988, + 434033665, + 413910415, + -1, + -1, + 178105170, + 250738973, + 171075892, + -1, + 305104681, + 757552716, + 696892066, + -1, + 229605311, + -1, + -1, + 790039752, + 909407621, + -1, + 372254318, + 824632603, + 777719419, + 420876047, + 202674548, + 792016202, + 633738417, + 279398864, + -1, + 800766941, + -1, + 44659295, + 127158088, + 903301988, + 729600580, + -1, + 908985533, + 361288825, + -1, + -1, + 220985279, + 962596574, + 302377659, + 460403718, + 450027394, + -1, + -1, + 911871734, + -1, + -1, + -1, + -1, + 756115135, + 655932446, + -1, + 237764856, + 804041797, + 61792483, + 290572558, + 852229335, + 681535970, + 826344567, + -1, + -1, + -1, + 60129489, + 30189816, + 556763933, + 36944146, + -1, + -1, + 134197236, + -1, + -1, + 888523719, + -1, + -1, + 628039776, + 591450220, + 380634126, + 308896722, + 438942502, + -1, + 466779483, + 682471266, + -1, + 844659925, + -1, + 615549090, + 408617697, + -1, + 316789741, + -1, + 895561680, + 763312384, + 863941022, + 425801478, + -1, + 439092229, + -1, + 431346174, + -1, + -1, + 439179512, + 629588366, + 856322605, + 338068641, + 608873808, + 149855059, + 472752845, + 946436030, + 885111644, + -1, + 158781633, + 296514608, + 725114025, + 503002092, + -1, + -1, + 510148105, + 140703048, + 157523276, + 303439487, + -1, + 196691405, + 190531364, + -1, + 78728852, + 356461032, + 64737298, + 774551983, + -1, + -1, + 612773669, + 456080244, + -1, + 129885738, + 664810956, + 786256039, + -1, + 729042622, + 141548825, + 247926474, + -1, + 221137635, + 618862054, + 699381037, + 535161598, + -1, + 491374268, + -1, + -1, + -1, + 634901547, + 126825268, + 249304084, + 583276494, + 130294940, + 933438343, + 811948964, + 812098158, + 77751207, + 435885948, + 162068812, + -1, + -1, + 56082761, + -1, + 312281353, + 586589531, + -1, + 15868452, + -1, + 266785729, + 61584003, + 78735327, + -1, + -1, + -1, + 671078118, + 287590464, + 764647804, + 41969414, + 516456777, + 853750675, + 486844789, + 124065677, + 771583855, + 829191356, + -1, + 279224346, + 560697613, + 403600025, + 2831622, + 103330583, + 693694868, + -1, + 451334844, + 292721568, + 854918744, + 684865703, + 124237860, + -1, + 563809290, + 132685821, + 186862071, + -1, + 134013445, + 157076341, + 696014922, + -1, + 887645508, + 892478266, + -1, + -1, + 691083857, + -1, + 489938397, + 755659840, + 74713894, + 269400240, + 560974350, + -1, + -1, + -1, + 109943398, + -1, + 631893878, + -1, + 420569556, + 568596918, + 329901018, + 252220819, + 893085793, + 449390766, + 340887948, + -1, + 821719932, + 661321937, + -1, + 312792156, + 928465674, + 646903956, + 760711274, + 671872015, + -1, + 980678173, + 697256330, + -1, + -1, + -1, + -1, + 985738995, + 393250154, + 179552886, + -1, + 480408820, + 74515608, + -1, + 453933881, + -1, + 564279977, + -1, + 329272978, + 454004847, + -1, + -1, + 835335862, + -1, + -1, + 458783755, + 184062811, + 426163548, + 824135116, + 769926872, + 799668164, + 392875426, + 444372321, + -1, + -1, + 95965931, + 710760976, + 593809563, + -1, + -1, + 405549743, + 580911368, + 590089902, + -1, + -1, + 993352574, + -1, + 560858265, + 925015026, + -1, + -1, + -1, + 23123379, + 679382292, + 695343587, + 957891128, + -1, + 691534676, + 652110360, + 347882094, + -1, + -1, + -1, + 123204688, + 277776855, + 942896461, + 685715134, + -1, + 370774588, + 858108351, + -1, + 33057547, + -1, + 526055172, + -1, + 83289107, + 574983748, + 995760147, + 621624854, + 317866317, + 710226579, + 821170635, + -1, + -1, + 518638958, + 449416943, + 15135544, + 359826231, + -1, + 915494124, + -1, + 902805944, + 996132378, + 607538082, + 634839898, + 320432773, + -1, + 573759965, + 919773735, + -1, + 239108898, + 932884034, + 102146283, + 967434452, + 267663992, + -1, + 658341486, + -1, + -1, + 843103039, + 102198827, + -1, + 627824740, + 638146487, + 502994033, + 169754845, + 41822469, + -1, + -1, + 153021360, + 977678696, + 145951675, + 142221339, + 657918510, + 489599324, + 728472331, + 429209662, + -1, + 114875211, + -1, + -1, + 175739842, + -1, + 346408495, + -1, + -1, + 385500473, + -1, + 952538423, + -1, + 21487404, + -1, + -1, + -1, + 179757602, + -1, + 457161473, + 952801463, + -1, + -1, + 429591079, + 882993094, + 94753828, + 739269136, + 780815285, + -1, + 223991356, + 161743126, + -1, + 595504145, + -1, + -1, + 595918153, + 450628394, + 513597991, + 343876199, + 645669492, + -1, + 202331995, + 900187224, + -1, + 224693238, + 711528861, + 241222533, + -1, + 148847923, + 624121230, + 889318861, + 702148011, + 653860447, + 476247132, + 251247125, + 879955847, + -1, + 813295559, + 59774481, + 874255337, + -1, + 443931318, + 1806465, + 470583912, + -1, + 41423009, + -1, + -1, + 453366241, + -1, + 417123427, + -1, + 103565273, + 357220571, + -1, + -1, + 45764951, + 968878455, + -1, + 67992655, + 215869634, + 68966060, + 470658471, + -1, + 517074605, + -1, + 14996217, + 806541878, + -1, + 737827099, + 862681381, + 75893662, + 461491409, + 650394955, + 588866530, + 659269029, + -1, + 59455949, + -1, + -1, + -1, + 432946109, + 801780952, + 686985833, + -1, + -1, + 620254880, + -1, + -1, + 353460677, + 258515691, + 515690453, + 579309608, + 814110262, + 167077293, + 58360441, + -1, + -1, + 438243106, + 251654037, + 904717114, + 607562152, + 847297202, + 197619036, + -1, + 5424954, + 800826150, + 883566211, + -1, + -1, + -1, + 174153487, + 547882853, + -1, + 904906727, + 464900695, + 362357529, + 756853807, + 634826190, + 890524234, + 395295361, + 738493271, + -1, + -1, + 93935179, + -1, + 566945886, + -1, + 652542580, + 538732944, + 709631617, + 805690401, + 638182673, + 990728466, + 265198668, + -1, + -1, + 126290843, + 118065155, + 200943927, + 706824133, + 439903112, + -1, + -1, + -1, + 652483198, + 938067138, + -1, + 278104108, + -1, + -1, + 488712569, + -1, + 779722055, + 622088702, + -1, + 987064924, + -1, + 750095269, + 914486662, + -1, + 494807726, + -1, + -1, + -1, + 898821501, + 354440627, + 126363756, + -1, + 703470007, + 993742121, + 85967389, + -1, + 382170148, + 856234884, + -1, + 792550796, + -1, + 714904181, + 428240315, + 146035580, + -1, + 951355042, + 542445149, + 810948981, + -1, + -1, + 946963426, + -1, + 437722528, + 242615603, + 316867010, + 74502751, + -1, + 794277288, + 882363213, + 387264487, + -1, + 959868265, + 61745496, + 346653804, + 90807540, + 999745141, + 970564309, + -1, + 570159805, + 270255107, + 879727189, + 136313101, + 474112343, + 399493681, + -1, + 258530193, + -1, + 750328903, + 960086105, + 844303304, + 388911584, + 766795036, + -1, + 800029705, + 186898734, + 654666247, + -1, + 228440087, + 341866390, + 36856650, + 772033761, + 57708380, + -1, + -1, + 149775728, + -1, + 379799732, + 283270182, + 670535589, + -1, + -1, + 55752195, + 353503934, + 941018369, + 58323878, + 788355360, + 39348712, + -1, + 791119232, + 372463471, + 643154777, + -1, + -1, + -1, + 925122006, + 629613084, + -1, + 731922781, + 340099955, + 142729295, + -1, + 262073610, + -1, + 182828961, + -1, + 639791521, + 586800909, + 651799182, + 43908290, + 275140243, + 770697066, + 61870200, + -1, + 799388458, + 622502935, + 17556678, + -1, + 643059674, + 641249336, + -1, + 516768269, + 10818368, + 968094976, + 241376103, + 515827211, + 796571551, + 273268828, + 154417647, + 316595854, + -1, + 81207183, + 101591015, + 756392421, + 430952274, + -1, + -1, + -1, + 693546188, + 16457240, + 24065581, + 550850810, + -1, + 972250055, + -1, + 349610015, + 395592889, + -1, + -1, + 318561226, + 150325054, + 787709538, + 640865904, + -1, + -1, + 43643410, + 3723111, + 707570996, + -1, + 557861335, + 237987908, + -1, + 910065893, + 210623287, + 730303511, + 689087912, + 752308987, + 854409092, + 434670538, + 714486196, + -1, + 582188672, + 472845210, + 852234436, + 35533081, + 411511453, + 63012414, + 499028438, + 257269083, + -1, + -1, + -1, + 241018695, + 799049232, + 691193026, + 760511030, + 827561707, + -1, + 867477498, + 406258729, + -1, + 720899618, + 301494290, + 962459812, + 294137282, + 511415806, + 65152990, + 839167038, + 310402037, + 63339594, + -1, + 340670845, + 101974487, + 718605283, + 584596915, + 480400389, + 505970738, + 78327056, + 995802234, + -1, + 408478413, + -1, + 120161703, + 692187601, + 986665268, + 13145824, + -1, + -1, + 219828405, + 679975145, + -1, + 248073442, + 976261928, + 577011333, + 737520882, + 323599537, + -1, + -1, + 180873941, + -1, + 78478265, + 809165690, + -1, + 622739190, + 801431834, + -1, + -1, + 224149524, + 199078793, + -1, + -1, + -1, + -1, + 662699605, + 593457984, + -1, + 75529415, + 270770625, + 922756958, + 31627777, + 637241945, + 927480825, + 152709471, + 738154384, + -1, + 459108239, + 884215748, + 951285613, + 325657947, + 395615657, + -1, + 919411065, + -1, + -1, + -1, + -1, + -1, + -1, + 276662185, + -1, + -1, + 500494410, + 91345537, + -1, + -1, + 275116383, + 910737943, + -1, + 739530242, + -1, + 464665127, + 423447422, + -1, + -1, + -1, + 859978327, + 470674249, + 833868702, + -1, + 72325181, + 786485262, + 942970687, + -1, + 342071587, + 669771025, + 959341353, + 631944873, + -1, + 129596401, + 903372248, + 95370583, + 212940535, + -1, + 775887530, + 568549034, + 697040821, + 992677882, + 196481494, + 525275870, + -1, + 13854840, + 386471787, + 22761704, + 165290588, + 790185818, + 439824844, + 81326377, + -1, + 853213766, + 584045694, + 600758888, + 879885325, + 611542801, + 232504196, + 407128397, + -1, + 404566653, + 890245521, + 852795007, + -1, + 486857268, + 305989491, + -1, + -1, + 221171850, + 499887172, + 131309956, + 13359717, + 962395199, + 732968030, + 448586028, + 772439436, + 921580906, + 65179225, + 678064273, + -1, + 613317140, + 810476606, + -1, + 24166904, + -1, + 495904520, + -1, + 659170228, + 498609226, + 792996431, + -1, + 163667735, + 284801751, + -1, + -1, + 189586888, + 821733632, + 298786098, + 550814712, + 541861136, + 159466230, + 700499306, + 665478031, + -1, + -1, + 531956306, + 230344983, + 480955070, + 5744384, + 978679846, + -1, + 687865540, + 401162813, + 601048827, + -1, + 516016337, + 562499403, + 530326384, + 23067509, + 406885567, + 185610115, + 79125465, + -1, + 227943171, + -1, + 4492445, + 724886385, + 462289410, + -1, + 541559333, + 452444197, + 48238701, + -1, + -1, + -1, + 242862655, + 243214350, + -1, + 372075339, + 333169990, + 226167377, + 223858022, + -1, + 209298564, + 441879963, + 793810393, + -1, + 301832661, + -1, + 880251387, + 798422975, + 460199889, + -1, + 471864731, + 102863930, + 943915665, + 882859199, + 929865478, + 676514669, + -1, + 838515426, + 310306214, + 433072414, + -1, + 259706068, + 898876352, + 21579354, + -1, + -1, + 254323828, + 270467380, + -1, + 535006277, + -1, + -1, + 206999691, + 998081781, + -1, + 278747084, + 310980537, + 682753010, + 143059285, + 478636243, + 137159761, + 527765624, + 236364954, + -1, + -1, + -1, + 665347793, + 416488320, + 671493500, + 176220314, + 79472015, + -1, + 673171256, + -1, + -1, + -1, + 32487390, + 520556935, + -1, + 39455928, + 134087760, + -1, + -1, + 120092611, + 982793738, + 139953974, + -1, + 994189934, + 356795157, + -1, + -1, + 603273450, + 781266547, + 194460408, + 124004042, + 446639829, + -1, + -1, + -1, + -1, + -1, + 795902771, + -1, + 37425822, + -1, + -1, + 783704600, + -1, + 286088305, + 275716570, + 497504939, + 335787473, + -1, + 853956439, + -1, + 802737154, + -1, + 996193240, + -1, + -1, + 241089746, + 234737208, + 951362825, + 76901791, + 547300606, + 164184340, + 417425840, + 485607711, + 507507364, + 360257011, + 301138033, + -1, + -1, + 137632902, + 520590098, + 27669629, + -1, + -1, + 807463721, + -1, + -1, + 1067390, + 525767856, + 476831316, + 423742456, + -1, + -1, + 691762836, + -1, + 623737238, + -1, + 604502484, + 554184826, + -1, + -1, + 46515352, + -1, + 32072949, + 830541507, + 56794644, + 497362008, + 174970550, + -1, + 602368481, + 935239676, + 318775688, + 890671276, + -1, + 324645778, + 904995729, + 895838853, + 409672161, + 107397965, + 624471040, + 183677659, + -1, + -1, + 43746041, + 87190995, + -1, + 127464255, + 80573910, + 606914781, + 760034537, + -1, + 795012265, + 173544296, + -1, + 91641613, + 357700805, + -1, + 431793600, + 320914396, + 551987217, + 218515513, + -1, + 712334203, + 906022322, + 536275867, + 186468614, + 119140438, + 507572665, + 470419919, + -1, + -1, + 781852513, + 906179195, + 110522043, + 401006, + 519359939, + -1, + -1, + 564746743, + -1, + -1, + -1, + 908210510, + 459976926, + 677974263, + 590659017, + -1, + -1, + 324483150, + 914685609, + -1, + 298935210, + 810211887, + -1, + 944033496, + 567000002, + 39491850, + 316189082, + 649886808, + 838452048, + 401384263, + 278850929, + 482821586, + -1, + 711909498, + 576409890, + -1, + 858258758, + 71788091, + 753605274, + 569232061, + 923776803, + -1, + 571405964, + -1, + -1, + 691505594, + 860313079, + 734193542, + -1, + -1, + -1, + 759669718, + -1, + 537167869, + -1, + -1, + -1, + 729639413, + 45681047, + 759514618, + 320543607, + -1, + 732917377, + -1, + 866201554, + 266221408, + 512311583, + 445054948, + 929823781, + 301888596, + 638542804, + 20420448, + 203528406, + 367046447, + 47947432, + 456699006, + 956900713, + -1, + 498672279, + 210789737, + 454994169, + -1, + -1, + 234950589, + 17308889, + -1, + 985529651, + -1, + -1, + 242266031, + 193019682, + -1, + 226591804, + 248567537, + 480582467, + 107258008, + -1, + 282869449, + 131028476, + 897903112, + -1, + -1, + -1, + 332653469, + -1, + -1, + 486531852, + 643238893, + 21707750, + -1, + 474038227, + 622712572, + 498724148, + 817755410, + 928523654, + 397354560, + -1, + 905420351, + 885807497, + 617508995, + 636483849, + -1, + -1, + -1, + -1, + -1, + 802196593, + 850096391, + 518353283, + -1, + 26821678, + 583928984, + 104227583, + 731312342, + 829876565, + -1, + -1, + 560221305, + 650776376, + 155187740, + 850619780, + 585784985, + 324343299, + 374574377, + -1, + 282296768, + 424511346, + 857041941, + 571454583, + 912339669, + 135953566, + 357199568, + 194020223, + 375067091, + -1, + -1, + -1, + 88905238, + 266639344, + 840688597, + 498860228, + 996192386, + 876870530, + -1, + -1, + 798021892, + 6187366, + 550631960, + 388367611, + 693074616, + 202024263, + 766648497, + -1, + -1, + -1, + 519644461, + 319192645, + -1, + 470075883, + 306005667, + 287891130, + 700416247, + -1, + -1, + 103945850, + 203457654, + 578295610, + 213703051, + 891829226, + -1, + 378902708, + 851042388, + 197611932, + 271400811, + -1, + 298502142, + -1, + 305722771, + 80748908, + -1, + 720764490, + 133841564, + 745615629, + -1, + 233796490, + 651150221, + 566622677, + 237519847, + 473740037, + -1, + 648128532, + -1, + 293314613, + -1, + -1, + -1, + 492643924, + 368988686, + 259130960, + 507408476, + 767849481, + 688930691, + 193644470, + 875453621, + 667230243, + 695980919, + -1, + -1, + -1, + -1, + 866359738, + 359498502, + 460269194, + 812764357, + 982190773, + -1, + 628252110, + 735176545, + 729042539, + -1, + 644407505, + 677168990, + 797469843, + -1, + 731751940, + 90373896, + 500801465, + -1, + -1, + 667618818, + -1, + 616461353, + 235315548, + 709218106, + -1, + 474761291, + 447440427, + 482561388, + -1, + -1, + -1, + 162002172, + 784134060, + 420075634, + -1, + -1, + 8949181, + 911143887, + -1, + -1, + 443228431, + 591014426, + 522748694, + 706749666, + 144114763, + 730846217, + -1, + 163745472, + -1, + 956524628, + 575369735, + -1, + 182093278, + -1, + -1, + 668126805, + -1, + 358807122, + 541406394, + 210486743, + 434629852, + 637325429, + 773924007, + 315389117, + -1, + 935903942, + 450608094, + 545996265, + -1, + 398855662, + 699592694, + 199288984, + -1, + 640866671, + 514982584, + 338697734, + 93976462, + -1, + -1, + 865785384, + -1, + -1, + 482336348, + 564904726, + 662770318, + 192521239, + 488205737, + 339014753, + 670590366, + 977416226, + 228527278, + -1, + 232309325, + 211143497, + 78930563, + -1, + 101355944, + -1, + 171214050, + 410785130, + 318508173, + -1, + 554696057, + -1, + 619524730, + 412487410, + -1, + 547849791, + 477283333, + 524585069, + 211471044, + 324761306, + 896723035, + -1, + 535305134, + 15416866, + 147368747, + 839179430, + 394418959, + 284431337, + 265479049, + 659807761, + 28859747, + 675025714, + 189103031, + 968755481, + 659894124, + -1, + 919670930, + -1, + -1, + 607547317, + -1, + -1, + 567199788, + 85310999, + 171189304, + 732914648, + 439046230, + -1, + 308212566, + 564651803, + 673274807, + -1, + 419409294, + 495054408, + 623895813, + -1, + 904243327, + -1, + 423721951, + 591218119, + 660551895, + -1, + 371064431, + 29747839, + 309489408, + 768405889, + 748519940, + 496012698, + -1, + 421448994, + -1, + 64389247, + -1, + 4561885, + 81390687, + 971259011, + 682609707, + 121836281, + 179973693, + 757535595, + 715649722, + -1, + 912640130, + 330695309, + 354823830, + -1, + 99337730, + -1, + 322875745, + -1, + -1, + 187210245, + 604460869, + 513601035, + 223098239, + 632932386, + 836102997, + 484124369, + 138845501, + -1, + 612661602, + 486421875, + 388555726, + 427298530, + 787356072, + 417675401, + -1, + 36433474, + 52356991, + 758896334, + 845744482, + 662800149, + -1, + 965637765, + -1, + 136435998, + -1, + -1, + 730231768, + 635779267, + 871642602, + 847782757, + -1, + -1, + 246282404, + 97971371, + 940388661, + 942622474, + 441558971, + 97722185, + 252819621, + 671016597, + 924994401, + -1, + 955004983, + 374721129, + -1, + 57773764, + 22968383, + -1, + 632121760, + -1, + 348766895, + 764139215, + 233044131, + -1, + -1, + 211927691, + 303984487, + 478967793, + 42948921, + 243891871, + -1, + 836067814, + -1, + 746217359, + 361826505, + 111606782, + 509755788, + 106579722, + 219320931, + 802489534, + -1, + -1, + 50092938, + 698642293, + 11149280, + 155603092, + 719051646, + 942574602, + 148694622, + -1, + -1, + 187409411, + 208489465, + -1, + 21183360, + -1, + -1, + 254452021, + 660065726, + 610215573, + 392943548, + -1, + 538997963, + 236255502, + -1, + -1, + 538858443, + -1, + 833131990, + 800217476, + 913721795, + 777905389, + 485482818, + 531826955, + 505438088, + 756567389, + 298127351, + 601926886, + 451093481, + -1, + 484502011, + 344124503, + 403521227, + -1, + 807858995, + 53345445, + 713122628, + -1, + 759312095, + -1, + 152583210, + 81272776, + 990540470, + 563324786, + 625400583, + 728566228, + 417748878, + -1, + 342635547, + 470716496, + 148807487, + 426537418, + -1, + 348430356, + 759148435, + 999829327, + 5129879, + 295572830, + 873390500, + 550246859, + 425029937, + 512828043, + 545922117, + 261701242, + 290444472, + -1, + 688328142, + -1, + 204722396, + -1, + -1, + -1, + 340333486, + -1, + 739983175, + -1, + 744599670, + 387868417, + -1, + 363945650, + 148074351, + 838721338, + 670831893, + -1, + 56141303, + 17216983, + 625155622, + -1, + 241889450, + 807614520, + -1, + 319826308, + 39503270, + -1, + 429453297, + 617910503, + 65570084, + 222363116, + 832896043, + -1, + -1, + 212215734, + 881820807, + 247548258, + -1, + -1, + 370729367, + 485756395, + -1, + 39554057, + -1, + 686351972, + 70310645, + 859226668, + 34007727, + -1, + 706247293, + -1, + -1, + 108009957, + 795919435, + -1, + 46867955, + 656358044, + 47683565, + 158528404, + 157900903, + -1, + -1, + 671273451, + -1, + -1, + -1, + 129148836, + 409035546, + -1, + 773257431, + 341144408, + -1, + 969641711, + -1, + 239894664, + 526589333, + -1, + -1, + 109456730, + 311324805, + 536835039, + -1, + -1, + 128152586, + 106003089, + 826959776, + 59580197, + 317883230, + 320299221, + 938740696, + 5513602, + 1903517, + -1, + 662980445, + -1, + -1, + -1, + 415777663, + 305076961, + 588865849, + 909114416, + 830202429, + 282417898, + 263422374, + -1, + -1, + -1, + 505718840, + -1, + 274442147, + -1, + 332922501, + -1, + -1, + 111588990, + -1, + 591445835, + 729089420, + -1, + 705205302, + 855189983, + 83612539, + -1, + 178499918, + -1, + 494093339, + -1, + 321196812, + 618625103, + 596785175, + 472830498, + 655320564, + -1, + 704156382, + 659669464, + -1, + 303969414, + 83569640, + -1, + -1, + 371912443, + 8328369, + -1, + -1, + -1, + 731430688, + 505836896, + 87504383, + 265623703, + -1, + -1, + -1, + -1, + -1, + -1, + 387114611, + 298949260, + 992047452, + 341060095, + 68436589, + 966362093, + -1, + 282583765, + 806975810, + 454103462, + -1, + 272281204, + 466948617, + 453565691, + 650858851, + 969599362, + 690366284, + -1, + -1, + 270188814, + 563609688, + 305087177, + -1, + 664210193, + -1, + 883047143, + -1, + -1, + 851771518, + 207822119, + 195999252, + 384030007, + -1, + 173377020, + 769308204, + 630278915, + -1, + -1, + 842885116, + 690633449, + 408200555, + -1, + 481443286, + 726808054, + 433740523, + -1, + 336178095, + 639685373, + 369390427, + 600930901, + 283498599, + -1, + 168874248, + 844983047, + 18852769, + 67931136, + 655909269, + -1, + 785633028, + 371267158, + 505157584, + 774629560, + 313411436, + 373175333, + 871290572, + 886955058, + 807246308, + 16858977, + 822163328, + -1, + -1, + 64499147, + -1, + -1, + -1, + 894968056, + -1, + -1, + -1, + 205767841, + 930223408, + 219418073, + 791706137, + -1, + -1, + 120617130, + -1, + 473793533, + -1, + 135517423, + 216530006, + 76979161, + 988931519, + 873937002, + -1, + 738075275, + 37267146, + 389675983, + -1, + -1, + 384571639, + 641582190, + 707147419, + -1, + 350783314, + 295425027, + -1, + -1, + 699253861, + 224693304, + -1, + 389151154, + -1, + 157591875, + -1, + 516072743, + 120717240, + -1, + 902212175, + 999662480, + 86459063, + 356431699, + 583054383, + 205080388, + -1, + -1, + 167047273, + 381579094, + 952745425, + 519618446, + 876487094, + -1, + -1, + 564061691, + 120708411, + 377073665, + 218760221, + 943012660, + 563456310, + 388826401, + 719031857, + 751886403, + 767498494, + -1, + 851030288, + 58471842, + 448003245, + -1, + 151773075, + 385233901, + 714837484, + 48109465, + -1, + 670291065, + 105386983, + -1, + 734738145, + 37925396, + 303353407, + -1, + -1, + 639488350, + -1, + 534905652, + 487223523, + 555383830, + 596940127, + 52191530, + 429545212, + -1, + -1, + 217880990, + 942633716, + 555162430, + -1, + 519997599, + 798486301, + 550344281, + -1, + -1, + -1, + -1, + 201873047, + 19272770, + -1, + 477994092, + 175193066, + -1, + 188641166, + -1, + 490182585, + 347341729, + -1, + 468981830, + -1, + 991227653, + -1, + 574265109, + 441048715, + 694121481, + 350727126, + 794217844, + -1, + 270731119, + 314371850, + 123128783, + -1, + 696937162, + 614554044, + 868986837, + 431623559, + -1, + -1, + -1, + -1, + 985132208, + 290524064, + -1, + -1, + 180611052, + 238027749, + 237312518, + 985629829, + 51350988, + 619406334, + 83057884, + 195416728, + 536892761, + 150544551, + 648864421, + 992453892, + 695573401, + 597110803, + 785431919, + 620682934, + -1, + 407356677, + -1, + 960073394, + 285907687, + 724858828, + 497624822, + 810711483, + 522330369, + -1, + 853499834, + 980395178, + 546857203, + 734654796, + 169957734, + 930577358, + -1, + -1, + 700835034, + -1, + -1, + -1, + 572281709, + 12114577, + 386188702, + 784782285, + -1, + 284231694, + 471088310, + -1, + -1, + -1, + 651087192, + 727967299, + 85709466, + 945369700, + 315852572, + 511331192, + 35468631, + -1, + 17690178, + 526324780, + 496574736, + 206378071, + -1, + 884550385, + 916279429, + 540584680, + -1, + 649516805, + 974643263, + 250627704, + 373425137, + 397840838, + 627244491, + 258379686, + 132675996, + 226237021, + -1, + 367631496, + 178861128, + 735331506, + 197631858, + 102114581, + 345043841, + 960872432, + -1, + 592068436, + 607396352, + 168029059, + 152750327, + 538084267, + -1, + 808277084, + -1, + 534698971, + 741133623, + 31564835, + 43985803, + -1, + 142147800, + -1, + -1, + 685854896, + 771425808, + 120411254, + -1, + 291728337, + -1, + 918682205, + 220777904, + 336393387, + 732890121, + -1, + -1, + -1, + 314090091, + 229843112, + 322449552, + 458981967, + 520875391, + 551801844, + 860141908, + 36762477, + 172735484, + 785992840, + -1, + 325347568, + -1, + -1, + 404650672, + 53632591, + -1, + 723453163, + -1, + -1, + 369458208, + 241075081, + -1, + 330655795, + -1, + 977123676, + 314849427, + -1, + 62447254, + 815841242, + 134503315, + 405116751, + 842167889, + 278617777, + 584019694, + -1, + -1, + -1, + 202064903, + 303130847, + 268325520, + 354667247, + 439197507, + -1, + 975573315, + 89229781, + 684091039, + 168100534, + 169503693, + 532423332, + 489667763, + 872809888, + -1, + 709897721, + 145186901, + 253159925, + 827926370, + -1, + -1, + 811071446, + -1, + 82523223, + -1, + 351791320, + 246268144, + 307004630, + 256820502, + -1, + 12622709, + 714410565, + -1, + -1, + 295263232, + 880591802, + 618349198, + 414536959, + -1, + -1, + 1702316, + -1, + 435246257, + -1, + 330217333, + 43694268, + -1, + -1, + 135164540, + 719439085, + -1, + 567809082, + 317967368, + 626099379, + 968515090, + 724709638, + 389162381, + 600920886, + 470948962, + 333390964, + -1, + 481719716, + -1, + -1, + 896736455, + 831926865, + 639352481, + 992732875, + -1, + 829621699, + -1, + 951188171, + -1, + 628993103, + -1, + 266294473, + -1, + -1, + 565797211, + 339360424, + -1, + 623159343, + 365777815, + 83885086, + 157989791, + -1, + 988512938, + 576922567, + 292485421, + -1, + -1, + 712236642, + 34283088, + 961358347, + 948402665, + -1, + -1, + 160671985, + 711721828, + 86653288, + 939037658, + -1, + -1, + -1, + -1, + 957438766, + 537174837, + -1, + 585180953, + 294531062, + 628738587, + 805458126, + -1, + 716061445, + 544242982, + 503905467, + 920471197, + 782247169, + -1, + -1, + 440759385, + -1, + 289064574, + 998440482, + 886462396, + 323574546, + 55694486, + 640562348, + -1, + -1, + 963150990, + 136110905, + 636354153, + 88455334, + -1, + 125653737, + 560710736, + 399257655, + 25900834, + 844507623, + -1, + 3652555, + 593285212, + 126799909, + -1, + 764009111, + 798380433, + 419701503, + 682864391, + 840166383, + 6181006, + 285504417, + -1, + 332910391, + -1, + 289806635, + 506461485, + 804492138, + 405436561, + 306012930, + -1, + 324735874, + -1, + 770149645, + -1, + -1, + -1, + 83234946, + -1, + 493707205, + 985059489, + 247763509, + 706765166, + 424656398, + 556532568, + 219166532, + 134279358, + -1, + 115709762, + 635023067, + 22230137, + 156920636, + 815807669, + 240799369, + -1, + 370819600, + -1, + 27917347, + 626678195, + -1, + -1, + 996439910, + -1, + 542022868, + -1, + -1, + 845810312, + 992865717, + -1, + 746079386, + 699464250, + -1, + 387225431, + 331718115, + -1, + 184538101, + 701435530, + 572588301, + 485404520, + 737911319, + 579975760, + 799813818, + 977933409, + -1, + 661499950, + 472636885, + 876714846, + 782313982, + -1, + 96694576, + 269822573, + 407622107, + 490302807, + 875843090, + 454987983, + 537111289, + 244799038, + 87356474, + 844990037, + -1, + 23933488, + 985442513, + 546726825, + 337665949, + 975818031, + 902270532, + 689480248, + 26657426, + -1, + 748246331, + 123060077, + -1, + 590718435, + 168189160, + 718435050, + -1, + 474078972, + -1, + 829361909, + 38455096, + -1, + 121705474, + 560634552, + 56538853, + 285227583, + 838453085, + -1, + -1, + 945847257, + 63986741, + -1, + 177028887, + 536698048, + 42169341, + 347250415, + 883817683, + -1, + -1, + -1, + 784699839, + 51392798, + 971735857, + -1, + 839803297, + 478541338, + 346430882, + 713215416, + 440800273, + 390120769, + 203049188, + 27966567, + 41689255, + 129335637, + 810218099, + -1, + 290047259, + -1, + 635871919, + 156536246, + 712999619, + 361964181, + 897665131, + -1, + 461246597, + -1, + 430796686, + 83945280, + -1, + 999526263, + 47506996, + 138439779, + 31504357, + 422906762, + 233084651, + 883137237, + 882155204, + 894825730, + 934970665, + 873092790, + 825669922, + 568587365, + -1, + 784397945, + 501842463, + 212079244, + 12216914, + -1, + 222266896, + 154605146, + 421033446, + 456576905, + -1, + 514207176, + -1, + 850834779, + 666804778, + 300441209, + -1, + -1, + -1, + 945116060, + 495546070, + 355438851, + -1, + 693206609, + 848664564, + 872908214, + -1, + 651250109, + 644954949, + 916783107, + -1, + 210331275, + 556190593, + 996354628, + -1, + -1, + 437395776, + 233748382, + -1, + -1, + 876482933, + -1, + 12495643, + -1, + 244111066, + 993170964, + 642442697, + 320018697, + 159740220, + 199917307, + -1, + 683599896, + -1, + 898253202, + -1, + 660461797, + -1, + 304238264, + 495554466, + -1, + 630227114, + 313453957, + 578137604, + -1, + 600233578, + -1, + -1, + -1, + -1, + 583732988, + 448485814, + 789700006, + 36055532, + 275732888, + 589678110, + -1, + 221668810, + -1, + -1, + 14609060, + 203670721, + -1, + 622239583, + 826902021, + -1, + 521236627, + 725146842, + 180856078, + 472406135, + 421960689, + -1, + 104867585, + -1, + 925125876, + 526342088, + 737659854, + 518353725, + 353623744, + -1, + -1, + 900114806, + 546679986, + 709071251, + 46902647, + 711251500, + 584258845, + 845418222, + 295896180, + -1, + 635868098, + 719421028, + 952262608, + -1, + -1, + -1, + 590312025, + 566485678, + -1, + 366698879, + -1, + 421464100, + -1, + 828397931, + 820408198, + -1, + 701009785, + 717767596, + 654789102, + 941539947, + 160572488, + -1, + 992062477, + 835236792, + 487002208, + 143167209, + 713845928, + 672337122, + 326742639, + -1, + 116564543, + -1, + -1, + -1, + 37714591, + -1, + -1, + 409281050, + -1, + -1, + 718484775, + 841315542, + 63117149, + -1, + 389918104, + -1, + 341407215, + 428564786, + 954942762, + -1, + -1, + 412821238, + 542360834, + -1, + 884991300, + 23126101, + -1, + 628085974, + -1, + 610244032, + 539531073, + 605695901, + 234382846, + -1, + 471107284, + 128620033, + 255917261, + 523214767, + 875794784, + 571073668, + 864667762, + 27355833, + 337426910, + 278073951, + 397578890, + 255195294, + 446469646, + 338294262, + 702987945, + 388260008, + -1, + -1, + 983635777, + 986904858, + -1, + 588393337, + 841084487, + -1, + 579025520, + -1, + 63067022, + 61316945, + 423144341, + 88049822, + 4174618, + -1, + 180410266, + -1, + 906895010, + 307015779, + -1, + 479670836, + -1, + 765384876, + 937712593, + 467811643, + -1, + 13856184, + 723418985, + -1, + 897650652, + 735211679, + 184728859, + -1, + -1, + -1, + 941934829, + 643561737, + -1, + 767582673, + -1, + 101010764, + 473370167, + 935021649, + 11143725, + 997073179, + -1, + 280451678, + 899567693, + -1, + -1, + 142455404, + 198974374, + 262630382, + 770337364, + 266890190, + -1, + -1, + -1, + -1, + 300775878, + -1, + -1, + 145076065, + 420560803, + -1, + -1, + -1, + 783830528, + 872402217, + -1, + -1, + 596022030, + 406832314, + 9250330, + 28105521, + 87681165, + 642785009, + 520524526, + -1, + 743010660, + 416148785, + -1, + 323908259, + -1, + 162415910, + 677745557, + 491322022, + 115090637, + 893376992, + 566874710, + 355005514, + 667361690, + 431085041, + 719613594, + 409043766, + 512598665, + 714612511, + 579976409, + 420010145, + -1, + 291079142, + -1, + 390360494, + 394429047, + -1, + -1, + 805085006, + 502722934, + 182027152, + -1, + -1, + -1, + 412316393, + 308451695, + 986127385, + 925139191, + 744762193, + 110292152, + -1, + -1, + 850745151, + 565448688, + 99343592, + -1, + 910005955, + 109924361, + 620107386, + 267113236, + 38700333, + 532108631, + 850234736, + -1, + 225359365, + -1, + 526766115, + 150818519, + -1, + -1, + 115044393, + 951944110, + 988008817, + 702323746, + 510205319, + -1, + 948167110, + 876072933, + -1, + 130949938, + 599887022, + 437614899, + 744315390, + 667301788, + 217495919, + 9527855, + -1, + -1, + -1, + 465639262, + -1, + -1, + -1, + -1, + 809885916, + 700173188, + -1, + 545915083, + -1, + -1, + -1, + 488405773, + 26929401, + 27685395, + 220422866, + 529248703, + 743008340, + -1, + 88365410, + 395741763, + 689281314, + -1, + 653539249, + -1, + 96160079, + 463593509, + 171743248, + 754664046, + 958501315, + -1, + 499519021, + 821316344, + 422123322, + 693491161, + 395285300, + 175269505, + 754331184, + -1, + 796018575, + -1, + 43564843, + 169884603, + -1, + -1, + 283603076, + -1, + 617407973, + -1, + -1, + 671636013, + 621064513, + 143654688, + 840028562, + 940043199, + 479119330, + -1, + 587393903, + 300985895, + -1, + 704932406, + 561120712, + -1, + -1, + 244279443, + -1, + 93515340, + 625927164, + -1, + 663970683, + 762932423, + 762701759, + 488014268, + 790691593, + 77342952, + 289241702, + -1, + -1, + 955953787, + 870155929, + 518076648, + -1, + 414087806, + 679409111, + 346308082, + 923471530, + 716729349, + -1, + -1, + 779756280, + 81942804, + 244736161, + 991802168, + 168382303, + 508748879, + 943255861, + 944667305, + 996507534, + -1, + -1, + 528296086, + -1, + 237631855, + 547849035, + 312317504, + 78889166, + 995792720, + 511425388, + 218366867, + 514389790, + 658338888, + -1, + 74436130, + 439337031, + 497837333, + -1, + 946339167, + 606377813, + 78782882, + -1, + 470632054, + 355660928, + 289220673, + 46790815, + 891343157, + -1, + 376050295, + -1, + -1, + 345205322, + 990689768, + 475282189, + 53927493, + 502712570, + 20071027, + -1, + 307903444, + 795955178, + 929374431, + -1, + -1, + -1, + 133762780, + 387962674, + -1, + 97229870, + 204454886, + -1, + -1, + -1, + 673878157, + 292109351, + 267223374, + 863920282, + 450060870, + 397600133, + -1, + 55624628, + 145143715, + 595172931, + 88685331, + -1, + 124217890, + 436534837, + -1, + 939544141, + 538268010, + 703342296, + 529591095, + 411069369, + -1, + -1, + 6178979, + -1, + 708197019, + 10893656, + 883882957, + 786754598, + 371307262, + 7380401, + 661000916, + -1, + 701213401, + -1, + -1, + 810612544, + 549207147, + 78162252, + 106815910, + -1, + 298389004, + -1, + -1, + -1, + 106401392, + 902781848, + 315166787, + 991222534, + 265392067, + 934974267, + 585617556, + -1, + -1, + -1, + -1, + 238757288, + -1, + 747963542, + -1, + 902063827, + 484420335, + 475920693, + -1, + 289764541, + 243897783, + 202315179, + 181741594, + 794619476, + 608298276, + 983527167, + -1, + 884472891, + -1, + 948290008, + 838608159, + 393986146, + 969298850, + -1, + 314611844, + -1, + 321649088, + -1, + 678268538, + -1, + -1, + 223051961, + -1, + 428356731, + 347513141, + 992527907, + 535535117, + 969100075, + -1, + 572205968, + 273067567, + -1, + -1, + 841661358, + 993709094, + 771673834, + 104023702, + 484102469, + 1933901, + 371210595, + 102430204, + 145741676, + -1, + -1, + 830753889, + 136790907, + 269583748, + 285189870, + 560883602, + -1, + -1, + -1, + 978286519, + 406617574, + 239652833, + 154704546, + -1, + 18081287, + 288908459, + 626513076, + 569770730, + 715788854, + 470610688, + 347848917, + 864928354, + 295227539, + 27296018, + 166073137, + -1, + 14034719, + 727141430, + 108967752, + 31319043, + 657420323, + 957818346, + 725252745, + 889456219, + -1, + -1, + 256655506, + -1, + 562562233, + -1, + 532401928, + -1, + -1, + 336636350, + -1, + -1, + 136331587, + 349324749, + 363547829, + 408122987, + -1, + 343323981, + -1, + 998686578, + 635630645, + 846874932, + 297146275, + 818819687, + 344070615, + -1, + 468348750, + 258593015, + 752561588, + -1, + 132866572, + 252147191, + -1, + 365022270, + -1, + 743042196, + 364653842, + 39823590, + -1, + 215550820, + -1, + 204499329, + 183561416, + -1, + 657377035, + -1, + 82930672, + 457221405, + -1, + -1, + 943500226, + 596292629, + 26740417, + -1, + -1, + 394961548, + 912989707, + 862582760, + -1, + 169556065, + -1, + 911875959, + -1, + 598790906, + 583828777, + -1, + -1, + 131655144, + 586601032, + -1, + 328071972, + -1, + 372555040, + -1, + 81937139, + -1, + 203267951, + 40413592, + 405277523, + -1, + 358741551, + 567113889, + 212054898, + 692441203, + 753092347, + -1, + -1, + -1, + 186488925, + 46091079, + 358166433, + 720077539, + 680954536, + 886331742, + -1, + -1, + 432639457, + 661582224, + -1, + 395292746, + 802452929, + 625980149, + 312368277, + 361375214, + 957912481, + -1, + 5586301, + 897122750, + 288072432, + 760384339, + 673641495, + 573523525, + 498022064, + 316021345, + 996321362, + 624064695, + 320344507, + 588884249, + 564007549, + 522500771, + 71987404, + 33741205, + 153531120, + -1, + 953748351, + 626678013, + -1, + 176611006, + -1, + 508777179, + -1, + 772061047, + 68680132, + 92109810, + 993262010, + 916875312, + 494719569, + 949115453, + 27273213, + 945018581, + 399010174, + 896381610, + 618238827, + 702851428, + 242968893, + -1, + -1, + 190243431, + -1, + 627804296, + 662718738, + 389050200, + 629989686, + 311020488, + 135766728, + 204234409, + 510562495, + 136249997, + 309903639, + -1, + -1, + 460151416, + 475574657, + 865030150, + -1, + -1, + 264248413, + -1, + 454592115, + 675434628, + 737296281, + -1, + 460984609, + 259367862, + -1, + 30672680, + 707866378, + 351660616, + 459224043, + -1, + 767577822, + -1, + -1, + 735068153, + 423400993, + 318142743, + 60460438, + 886069973, + 148191231, + 622743571, + -1, + 301246055, + -1, + -1, + 894114188, + 958641739, + 396225161, + 299610254, + 305030208, + 403474438, + 302428544, + 441005203, + 537695120, + 763162587, + 581707246, + 196586806, + 944570137, + 574562708, + 12196311, + 442637738, + -1, + 380740399, + 1814343, + -1, + 503723494, + 853498617, + 997516329, + 214453452, + 860501648, + -1, + -1, + 497670774, + -1, + -1, + 460384159, + 395929370, + 695703391, + 849152849, + -1, + -1, + -1, + 777998074, + 239922255, + -1, + -1, + -1, + 59840651, + 734285717, + 561327435, + -1, + 221783941, + -1, + -1, + 215595887, + -1, + 497704721, + -1, + 290261049, + 536512971, + -1, + 629502806, + 169180081, + 303136176, + 737707679, + 819656879, + 584518591, + -1, + -1, + -1, + 436476237, + 499642046, + 924952648, + 258087754, + -1, + 221881724, + 541895340, + -1, + 427630679, + 756322097, + -1, + -1, + 321476316, + -1, + 54539636, + -1, + 164193613, + 581228195, + 215130974, + 910736768, + 894285, + 178451150, + 869183368, + 34978230, + 295979553, + -1, + 943455740, + -1, + 82064975, + 896951311, + 301833247, + 264948589, + 889642242, + 958879420, + 562057293, + -1, + 684999346, + 168113968, + 23785003, + 79996872, + 223265046, + 470292150, + 216899819, + -1, + 510361426, + 949199017, + -1, + 592406526, + 290538491, + 604381924, + 340217494, + 837734577, + 179720264, + -1, + 85256776, + 430271842, + 881645523, + 114077804, + 219058797, + 648653349, + 447546915, + 541815673, + 395151407, + 907629113, + 47871049, + 775161110, + 570758713, + 342068878, + 258504714, + 632268928, + -1, + 806095121, + 939410090, + -1, + -1, + 5816102, + 524354430, + 723921543, + -1, + 336237683, + 97249924, + 634750325, + 104891963, + -1, + 639088372, + -1, + -1, + -1, + -1, + -1, + 982238538, + -1, + -1, + 878501660, + 467369857, + 706452466, + 955078641, + -1, + 309840708, + -1, + 623141544, + 905829582, + 582251176, + 804102793, + 466417076, + -1, + 111620356, + 960428989, + 239051141, + 114592247, + -1, + -1, + -1, + 678502272, + -1, + 617935737, + 696813084, + 261206575, + -1, + 212635694, + 656306980, + 995114600, + 792364134, + 292999181, + 333505313, + -1, + 272574754, + -1, + 375006815, + -1, + -1, + 650568914, + 323042731, + -1, + -1, + 169487416, + -1, + 166023265, + -1, + 595953310, + -1, + 439711442, + 655910528, + 26823257, + -1, + 495963819, + 999130374, + 698644880, + 576520903, + -1, + 924356654, + 181159763, + 928067473, + 760942167, + -1, + 442855580, + 279028616, + 60111345, + 834895691, + -1, + -1, + -1, + 347798757, + -1, + -1, + -1, + 721035971, + 792910480, + 822355897, + 987950404, + -1, + 6165710, + 140883374, + 431302050, + 519534449, + 469744098, + 682957274, + 33448369, + 442861222, + 540073819, + 367091434, + 917114941, + -1, + 620032834, + -1, + 102952309, + 514983568, + 502700551, + -1, + 984031477, + 700493578, + -1, + 175593766, + 275504027, + 251893093, + 451606435, + 972185579, + 254629781, + 978820985, + 972429486, + 487082286, + -1, + -1, + 833202518, + 355334183, + 588249553, + 951076426, + 225715866, + 348981309, + 630234583, + 951799089, + 506954907, + 608998690, + 108111591, + 329453527, + 78386477, + 283288279, + -1, + 332356645, + -1, + 83563828, + -1, + 930081978, + 789472554, + 822948373, + -1, + 376710207, + -1, + 850875734, + -1, + 998619530, + -1, + 609079028, + 386057494, + 678922720, + 108199480, + 646280394, + 400809743, + 724274265, + 197471255, + 992071843, + 824921887, + 33199603, + 318339061, + -1, + 663975598, + 559678595, + -1, + 641282194, + -1, + -1, + 167501613, + 432154190, + 57454869, + -1, + 444116831, + 25159975, + 645605838, + 78322656, + 791539363, + 577503791, + 150706928, + 616953373, + 185170872, + 117906337, + 743474337, + -1, + -1, + 397695475, + 532592710, + 914197492, + -1, + -1, + 659334215, + -1, + 987375117, + 236511695, + 972700498, + 294898141, + 581743081, + -1, + 334232785, + 856191899, + 814803690, + 41139226, + 195993716, + 748187307, + 326269299, + 458190335, + 808236365, + 711976094, + -1, + 218494375, + -1, + -1, + -1, + 520185924, + -1, + 247458037, + 696919641, + 646682539, + 773684711, + 613701219, + 436847541, + 936169970, + -1, + 890634135, + 629205163, + 949538109, + -1, + 596692878, + 49151294, + 429231591, + 698556509, + -1, + 330178707, + 256168198, + -1, + 363821003, + 285810492, + -1, + 177388460, + 557441186, + -1, + 577632559, + 824970994, + 195067790, + 681062051, + 814603322, + 668468819, + 335502836, + 908548218, + 59603985, + 464288460, + 847646694, + 411444320, + -1, + -1, + 320835876, + 779066089, + -1, + 917984937, + 7744707, + -1, + 787426397, + -1, + 70471248, + 699040859, + 530771913, + -1, + 409201388, + 393790675, + -1, + 134104091, + 901042566, + -1, + 739350444, + 402742901, + 149622946, + 433949852, + 90473125, + -1, + 449738958, + -1, + 862148775, + -1, + -1, + 817219661, + 258170562, + 916127584, + 797108172, + -1, + -1, + 492975434, + -1, + 926046033, + -1, + -1, + -1, + 131751636, + 334933950, + -1, + 489721365, + 287879751, + -1, + 480139281, + -1, + -1, + 198738230, + 556977764, + 264997092, + -1, + -1, + 958890672, + -1, + -1, + 207601958, + 216758512, + -1, + 93572955, + 62573199, + 500093185, + 326043432, + 307829410, + -1, + -1, + 419389626, + 820520174, + 748528703, + 858157660, + -1, + 762913512, + 847121264, + 916547097, + 605624291, + 881729383, + 190196105, + -1, + -1, + 756700947, + 225635079, + 549456023, + -1, + 509938723, + 782679051, + 551115944, + 738661360, + 809466701, + 44138647, + 324752798, + -1, + 32667334, + 221249485, + -1, + 894665133, + 51017289, + -1, + 323969237, + 683318226, + 651173376, + 217596527, + 64329973, + 791909477, + 664457824, + 468718121, + 890097280, + 843128072, + 636693851, + -1, + 3784774, + 432832568, + -1, + -1, + -1, + -1, + 834066327, + -1, + -1, + 153668676, + -1, + -1, + -1, + 594783480, + -1, + -1, + -1, + 251517460, + 979375491, + 142801483, + 60465797, + 931329543, + 910211304, + 245487103, + -1, + -1, + 854659094, + 693500714, + 145749851, + -1, + -1, + 327314345, + -1, + 213523634, + 806920351, + -1, + 791534269, + 261650284, + 346540448, + -1, + 891866940, + -1, + 684477365, + -1, + -1, + 640736308, + -1, + 146874095, + -1, + 135657931, + 701509597, + 542816777, + 836325613, + 19240970, + 609039348, + -1, + -1, + 165804071, + 4630887, + 784996271, + 800072776, + 194964676, + 446384526, + 367709745, + 244115355, + -1, + 186061319, + 264377893, + -1, + 843662632, + 97098224, + 281554921, + 678303548, + 689723002, + 140244898, + -1, + -1, + -1, + 803935018, + -1, + 832635875, + 383902250, + 473225900, + -1, + 969467627, + 135419542, + 319237419, + 223187136, + -1, + -1, + 46275788, + 263640384, + 796782339, + -1, + 336898598, + 552741512, + 445387927, + -1, + 190176960, + -1, + 444182777, + 782093674, + 949234970, + 162295432, + -1, + 897763601, + 431331527, + 355273950, + 335538572, + 742235076, + -1, + 143078985, + -1, + 240549583, + 637025358, + 458098505, + -1, + 656650410, + 184037669, + -1, + -1, + -1, + -1, + 733786291, + 206150971, + -1, + -1, + 469519037, + -1, + 136897008, + -1, + 595758709, + -1, + -1, + -1, + 679683618, + -1, + -1, + -1, + 113881875, + 192208787, + 511209443, + 814177628, + 58907306, + -1, + 8288123, + 425982320, + -1, + 533731564, + 320894183, + -1, + 517622037, + 651200240, + 658499628, + -1, + 44963748, + 931414775, + 331376029, + -1, + 405639425, + -1, + -1, + 308123931, + 150658894, + -1, + 865950162, + 863055419, + -1, + 34196769, + 866374690, + 184514401, + 901182191, + 984932400, + -1, + 129398076, + 661709764, + 549072342, + 624471031, + -1, + -1, + 336261521, + -1, + 459972961, + -1, + 581891986, + -1, + -1, + 577536107, + -1, + -1, + -1, + -1, + 539311850, + 192918259, + 799807809, + 344273610, + 525992147, + 989921183, + 424891904, + 501589424, + 977753659, + 612518623, + 532764681, + 221211197, + 590640706, + 891406917, + 986557885, + 6018328, + 660527164, + -1, + 856759322, + 226854958, + 519251425, + 147634420, + 696841200, + 313026153, + 261045193, + -1, + 993767201, + 680755725, + 42278248, + -1, + 143930080, + 719895985, + 614948787, + 679903812, + 776642547, + 60581228, + -1, + -1, + 140928361, + 636274501, + 244585072, + 451640114, + 903974197, + -1, + -1, + 392701100, + 594104035, + -1, + 919171941, + 965013415, + 93031449, + 232249214, + 251921243, + -1, + -1, + 895380684, + -1, + 912626836, + 213900860, + -1, + 429330838, + 249460352, + -1, + 207982692, + 167752260, + 12828235, + 643489323, + -1, + -1, + 360532914, + 333432475, + 555099918, + 530975824, + 440840610, + -1, + -1, + 655113924, + -1, + 100340030, + 379373258, + 239719125, + 159360167, + 268139141, + -1, + -1, + 639374321, + -1, + -1, + 87850921, + -1, + 508480536, + -1, + 262216679, + -1, + 862760016, + 544989570, + 393829741, + -1, + 824707467, + 720300905, + 728910790, + -1, + 421974532, + 443977999, + -1, + 350878392, + -1, + 694052989, + -1, + 358841838, + -1, + 331364394, + 884861581, + -1, + -1, + 608915540, + -1, + 85797655, + -1, + 136198920, + -1, + 654141275, + 731636410, + -1, + 603559668, + 405755338, + 605103419, + 604243475, + -1, + 446159038, + 708370825, + -1, + 293621877, + 989673590, + 884455792, + 623815118, + 75408133, + 690645214, + -1, + 374902316, + 419220337, + 441204727, + -1, + -1, + -1, + 896132056, + -1, + 609600011, + -1, + -1, + 459306406, + 288338207, + 972735981, + 985794975, + 628055421, + -1, + 249328037, + -1, + 878397406, + 34810146, + -1, + 772868338, + 59531783, + 348533820, + 890038252, + -1, + 135925459, + 778896529, + 776366925, + 700703571, + 285090588, + -1, + 282286357, + -1, + 815915019, + 360478086, + -1, + -1, + 104947405, + 919632904, + 350679729, + 849949607, + 404539202, + -1, + 364172224, + -1, + 572722558, + 25739583, + 473072163, + 876202018, + -1, + -1, + 217976267, + 185363060, + 138657687, + -1, + 749443576, + 612037399, + 851422240, + 559608419, + 347653699, + 935643601, + -1, + 810648625, + 221009201, + 35827827, + 268540361, + 416206306, + -1, + -1, + 92621432, + -1, + 752887146, + 172486428, + 872240185, + 369169540, + -1, + 498891646, + 635076345, + 389975835, + -1, + 135687278, + 638145909, + 107993131, + 854397807, + -1, + -1, + -1, + 343415857, + 612225105, + -1, + 213333747, + -1, + 79005699, + -1, + 269586028, + -1, + 88773291, + -1, + 512641346, + 322120248, + -1, + 247272251, + 170891811, + 588968701, + -1, + 151310026, + 520376652, + 949603033, + 397943007, + 622292501, + 588554228, + -1, + 376828543, + 302303833, + 798852353, + 290951089, + -1, + -1, + 990144116, + 264344645, + 692582071, + 139065739, + 694149269, + 964591026, + -1, + 747075174, + 191934590, + -1, + 144344228, + -1, + 498956878, + 359489560, + 698538207, + -1, + 434678714, + -1, + 706431034, + -1, + 12701173, + 996476850, + 337714354, + 264944398, + -1, + 371639229, + -1, + -1, + -1, + -1, + -1, + 451550995, + 428696548, + 849525444, + 337278773, + 831586114, + 384044292, + -1, + 310777120, + -1, + 613107161, + 452253026, + 904803575, + 786794177, + 46213545, + -1, + 539856060, + 627873733, + -1, + -1, + -1, + 607754374, + 127189659, + -1, + 739467540, + 418179708, + 924884452, + 649043133, + 107977120, + 514226746, + 674171446, + 51044512, + 327800164, + -1, + -1, + -1, + 629293250, + -1, + 642788422, + -1, + -1, + -1, + 770747291, + 840571676, + -1, + 912259832, + 326220664, + -1, + 929893530, + 319300818, + -1, + 822087830, + -1, + 755375909, + 70136814, + -1, + 378516684, + -1, + 395990389, + -1, + -1, + 30890876, + -1, + 883017695, + 699797105, + -1, + 137408816, + 241012191, + 951800572, + 460914813, + 65299769, + 944413555, + 19838212, + 658827120, + -1, + 34868912, + 669734327, + 30893601, + 602042515, + -1, + 590836131, + 185487208, + 569048931, + 902684906, + 748761168, + 608716484, + 302676260, + 536856025, + -1, + -1, + 512264080, + 169819749, + -1, + 241802497, + 156103721, + -1, + 403906426, + -1, + 550514901, + -1, + -1, + -1, + 962738993, + 716433594, + 646663503, + 498282736, + 343207634, + -1, + 180887045, + 626545771, + -1, + -1, + -1, + -1, + 42987797, + 590157827, + 518630775, + -1, + 407439593, + 599761113, + 337165275, + 181981127, + 132622966, + 23055502, + 364735308, + 391195277, + -1, + 713009469, + -1, + 866932265, + 423421716, + 375674729, + -1, + 421730021, + 972465641, + 485544312, + -1, + -1, + 239006946, + 510058768, + 692258294, + -1, + 380119334, + 824842945, + 993641120, + -1, + 718455540, + 138777568, + 300254031, + -1, + 840274539, + -1, + 979006933, + -1, + -1, + 782247136, + -1, + -1, + -1, + 589863178, + 554025992, + -1, + 757424879, + -1, + 424794302, + -1, + 521034866, + 670134237, + 805061728, + 93098332, + 893324935, + 439706861, + 420588286, + 414882582, + -1, + 378652068, + 443683037, + 396643472, + 825419839, + 692736897, + 983135280, + 368627024, + 941592584, + 489881373, + 387322179, + 549522272, + 474307702, + -1, + 840008685, + 645183487, + 368098175, + 109523381, + 608873454, + -1, + 802805048, + 780962828, + 699039325, + 172220477, + 149281172, + 107526715, + 874437754, + -1, + -1, + 939952880, + 696760180, + 953156363, + 221819442, + 537054426, + 658450651, + 6831614, + 977089770, + 989943224, + 312006564, + -1, + 495517633, + 801436000, + 886869107, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 620197547, + -1, + -1, + -1, + -1, + -1, + -1, + 592222857, + 574575731, + 3284593, + -1, + 404695872, + -1, + 115552961, + 229598475, + 939504387, + 50700543, + -1, + -1, + -1, + 457571670, + 321651363, + 301922612, + 342446637, + 36956763, + 815564764, + -1, + 585316560, + 476914125, + -1, + -1, + -1, + 534629711, + 331649936, + 869963545, + 652276762, + 969357027, + 847088547, + 778192354, + -1, + 892821815, + 915195297, + 505291380, + -1, + 575938765, + 869926223, + 114629631, + 804614821, + 668139126, + -1, + 929496112, + 554890686, + -1, + 428645584, + 855214939, + 176921449, + 929864217, + 168538480, + 277063359, + -1, + 389299077, + -1, + 103227551, + 515043822, + 929246348, + 563667302, + 908193014, + 57970044, + -1, + 174791279, + 106018809, + 580948972, + 86212678, + 62876802, + 239995633, + 169112981, + 49304621, + -1, + 334779041, + -1, + -1, + 896121417, + 44646183, + 259607909, + -1, + 881383810, + 424408660, + 90310265, + 3033787, + 442573284, + 648465240, + -1, + -1, + 300212596, + 752104564, + 634549327, + -1, + 597175460, + 352494002, + 148407433, + 825819183, + 791852024, + 455035626, + 556627933, + 749201071, + -1, + 637488794, + 997404854, + 728889624, + 117466094, + -1, + -1, + -1, + 101648366, + 478878907, + -1, + 621228231, + -1, + 962438224, + 871811200, + 635926121, + -1, + -1, + 742045373, + 845711778, + -1, + 345889490, + -1, + 983540873, + -1, + 902894816, + 162580695, + 579678040, + -1, + 674261711, + -1, + 112676416, + -1, + -1, + 814354021, + -1, + -1, + 983066543, + 68762743, + 441458282, + 919467331, + 931442540, + -1, + -1, + 709872673, + 492062070, + 856581379, + 582268758, + 187837329, + 183924924, + 118474705, + 36574303, + 472551217, + 810660319, + 397807078, + -1, + 607454929, + 784984013, + 58762271, + -1, + 15343953, + 217018502, + -1, + 954270666, + 379420440, + 401993830, + -1, + 361238534, + 427633437, + 794228545, + -1, + 734219497, + 250709031, + 232311190, + 296930928, + 278729247, + 957675437, + -1, + -1, + 42312966, + 560544096, + 788981268, + 441489689, + -1, + 787973548, + -1, + -1, + 659975407, + 625028179, + -1, + -1, + -1, + -1, + -1, + -1, + 459236417, + 490088340, + 940654716, + 892807425, + 166683546, + 519903355, + 432100438, + 573284927, + 819174478, + 423284776, + 735072253, + 907224619, + 114282915, + 682311210, + 96461972, + 520130853, + -1, + -1, + 373638471, + 344032820, + -1, + 763817041, + 917107731, + 84151886, + -1, + -1, + 680031276, + -1, + -1, + 20857082, + 482267888, + 711576417, + 257764137, + 684733877, + 980892655, + 53310272, + 346296370, + 769572891, + 330997823, + -1, + 307134485, + 192613857, + -1, + -1, + -1, + 200587101, + 481575793, + -1, + -1, + 414204882, + -1, + -1, + 540931208, + 857786746, + 455175013, + 409935164, + 629036215, + 675681419, + 652542981, + 318350275, + 410334345, + -1, + 669466002, + 182090008, + -1, + -1, + 623182773, + 154953270, + 274790999, + -1, + 803980634, + -1, + 181909190, + 128746609, + 128605603, + 938927198, + 785620437, + -1, + -1, + 325266920, + 854617395, + -1, + -1, + 939411821, + 71990063, + -1, + 871741153, + -1, + 445188453, + 680679479, + 821294087, + -1, + -1, + 951086854, + 648655303, + 707259515, + -1, + 992895110, + 824390159, + 744686593, + 22683527, + 939867453, + -1, + 768603015, + 400077525, + 443918214, + 204575361, + -1, + 636856676, + 359601199, + -1, + 722522035, + 167463547, + -1, + 385411000, + -1, + -1, + 596935189, + 481909526, + -1, + -1, + 823532529, + 817192510, + 790178595, + 255133633, + -1, + 677599657, + 31984214, + -1, + 263346746, + 503944181, + 221830230, + 955021936, + 541032691, + -1, + 591253666, + 699391364, + -1, + 908529191, + -1, + 658077424, + -1, + -1, + 362836714, + 479191536, + -1, + 968122729, + 23459474, + 812252560, + 38849303, + 748926731, + -1, + 891425578, + 947546264, + -1, + 755616538, + 503486110, + 932188957, + 311352601, + 287991720, + 562932333, + 364440491, + -1, + 206864796, + -1, + -1, + 139706794, + 766519298, + -1, + 346759985, + -1, + 267960147, + 16791594, + 603881913, + -1, + 695615839, + 515363481, + 640116634, + 394376819, + -1, + 56165632, + 808582627, + 612071451, + 393458755, + 175417829, + -1, + -1, + 631289171, + -1, + 359606964, + 155480702, + 414937638, + 767816474, + 882528039, + -1, + -1, + 115206495, + -1, + 705347816, + -1, + 339120507, + 983386370, + 477516889, + 639634442, + 665967011, + 986767360, + 538272825, + 642431980, + 558483807, + 483368516, + 645884996, + 998959926, + 95775503, + 768033185, + 976953089, + 626087891, + 868747452, + 891035255, + 792154866, + 531089908, + 866580421, + 511535982, + -1, + 648109788, + -1, + 355929506, + -1, + -1, + -1, + 747661126, + -1, + -1, + 850423914, + 754517455, + 819962100, + 427576473, + -1, + 695359455, + 377099516, + 916979004, + 793905169, + -1, + 392590757, + 350098465, + 417875000, + 747159110, + 756629661, + 166100541, + 966863500, + 384030210, + -1, + 182166175, + 829121257, + 501546014, + 477900468, + 131149860, + 150047897, + 662936426, + 378077332, + 82301992, + -1, + 483943830, + -1, + 681044398, + -1, + 909548551, + 355890372, + 156991338, + -1, + 975610547, + 286925091, + 206474534, + 306587732, + -1, + 949441414, + 380745675, + 371849902, + 258957733, + 803325640, + 817479587, + 286377672, + 193240019, + 111583199, + -1, + 254701155, + 410120149, + 16168484, + 356209851, + 597859807, + 441550162, + -1, + 229125617, + 900599391, + -1, + 303502436, + 218306617, + -1, + 45784958, + -1, + 914308876, + 916535530, + 20752342, + -1, + 87712562, + -1, + 952895892, + -1, + 846395105, + 551447196, + 394348470, + 23868736, + -1, + -1, + 406597501, + 995767873, + -1, + 292167334, + 981507820, + 345087007, + 821283391, + 104939061, + 51674915, + -1, + 857156371, + -1, + 862524498, + -1, + -1, + 379139624, + 129980012, + -1, + 313925687, + 24511827, + 378260345, + -1, + 633755457, + -1, + 940226952, + 921915022, + -1, + 346164839, + 900452036, + 909073456, + -1, + -1, + 620044819, + -1, + -1, + -1, + 869879064, + -1, + 276425438, + 623978994, + -1, + 616814760, + -1, + 636933739, + -1, + 168690020, + 55559463, + -1, + 534340592, + 92198369, + 985026028, + 537025483, + 649390316, + -1, + 25792847, + 6119332, + 372009862, + 61637113, + 451876777, + -1, + 409955083, + 781500314, + 541798260, + -1, + 457547133, + 414976862, + -1, + 894275259, + 862855721, + 62642510, + 838462569, + -1, + 75254804, + 653872775, + -1, + 792313514, + 914033323, + -1, + 4367604, + -1, + -1, + 768198417, + 324499043, + -1, + -1, + -1, + -1, + 591227494, + -1, + 101353835, + 204553677, + 603911622, + 341348874, + 662727046, + 778543825, + 185440768, + 549868244, + -1, + 517384856, + 456859419, + 83516884, + 867450400, + 421843557, + 979553780, + -1, + 220610257, + 361656446, + 181504155, + 126878714, + 218455880, + 616734880, + 241127356, + 233724851, + 632898031, + 10725253, + 721720898, + 686998286, + 926701566, + -1, + 866878864, + -1, + 236351282, + -1, + 947315073, + 295682909, + 663931326, + 532880346, + 777703716, + 535955468, + 221723851, + 113372724, + -1, + 307426497, + 856518122, + 501309931, + -1, + -1, + -1, + -1, + 377522159, + -1, + -1, + 756907355, + 567576826, + -1, + -1, + 951443832, + 505828840, + 448754370, + 369898649, + 841959827, + 537949315, + 741479554, + -1, + -1, + 532297806, + 373152647, + 190776758, + 260422366, + -1, + -1, + 271682137, + -1, + 440661526, + 288457188, + 846326116, + 765289068, + 148592429, + 648594865, + 253137220, + 354300399, + -1, + 853616216, + 755299424, + 168756343, + 72939223, + 802928205, + 640847831, + 765605634, + 221116514, + 501990929, + -1, + -1, + 722973550, + 237436929, + -1, + -1, + -1, + -1, + -1, + 949316333, + -1, + -1, + -1, + 259325506, + 626507211, + 723674672, + 799615440, + 808840855, + -1, + 982139571, + 756613961, + -1, + 997572825, + 553870289, + 402840644, + 718593723, + -1, + -1, + -1, + 42161242, + 237383807, + 223401643, + 66181093, + 848119149, + 284650396, + 903755748, + 185224008, + 933555167, + 791991799, + 9033358, + 964873845, + -1, + 186643774, + -1, + 654137611, + 115233400, + -1, + 753773721, + 315770786, + 838013407, + 760165807, + 877212307, + -1, + 534181255, + 924688923, + -1, + 175172116, + 25139454, + -1, + -1, + -1, + 219661574, + -1, + 860603742, + 157340224, + -1, + 790313994, + -1, + -1, + 628788137, + 311629760, + 765824127, + 669055691, + 341939934, + -1, + 386496230, + -1, + -1, + -1, + 762807643, + 407999807, + -1, + -1, + -1, + 358092921, + 985495388, + -1, + 809990941, + 907222152, + 746333807, + -1, + 775461237, + -1, + 787486116, + 125064930, + 878849498, + 443302543, + -1, + 15677815, + 935167807, + 477567074, + 733388869, + -1, + -1, + -1, + 487682315, + 773549886, + -1, + 734977819, + 993890271, + 463526964, + -1, + 837115411, + 15502652, + 572837168, + 57007042, + -1, + -1, + 807660622, + 765290508, + 323359729, + -1, + 487674924, + 825832791, + 976120116, + 647661232, + -1, + 660416895, + 904925394, + 740455719, + 18157888, + 268190222, + 207130659, + 577777881, + 944246136, + 422511500, + 733461256, + -1, + 585827108, + -1, + 486177521, + 815459704, + 134830506, + 260895523, + 538611928, + 259705209, + 663078592, + 791177381, + 758646521, + 674488468, + 774781600, + 11475748, + -1, + 336017748, + -1, + 758664508, + 861901209, + 931873315, + -1, + 819307536, + 825083932, + 437772143, + 464134609, + 161218439, + 901829874, + 433342730, + 829294758, + -1, + 357329801, + 551518755, + -1, + -1, + 159809090, + -1, + 173748678, + -1, + -1, + 423182227, + 511520084, + 602887309, + 448347899, + 267050654, + 313725171, + 979584574, + -1, + 701012201, + -1, + 418987514, + 351339703, + 985211225, + 923550454, + 55500062, + 754109942, + 85130974, + 379740044, + 4734750, + -1, + 816066034, + 645967865, + 844913062, + 479284879, + 78203787, + 821274251, + 593387198, + -1, + 743560706, + 557822139, + 66308680, + 774840185, + 354418944, + 502725378, + -1, + 221058921, + 905012857, + 481255033, + 305202740, + -1, + 116160616, + 420973097, + 679234150, + 675020152, + -1, + 476776776, + 55153679, + -1, + 769171090, + -1, + 3314080, + -1, + -1, + 362275196, + -1, + 935313659, + 368650407, + -1, + 175460995, + 201134861, + -1, + 734870814, + 98260791, + -1, + -1, + 821096425, + 143685909, + -1, + 68373458, + 770481928, + 6503743, + -1, + -1, + 750372025, + 294897578, + 229335457, + 782858055, + -1, + -1, + 678540753, + 97464939, + 97983835, + 140363275, + -1, + 752255339, + 388951422, + 477178443, + 992328106, + -1, + -1, + 400401320, + 927266201, + -1, + 495507929, + 638118906, + -1, + 41635116, + 41971403, + 300916143, + 663294846, + -1, + -1, + 358999617, + -1, + -1, + 886669065, + 832412484, + 18481974, + 10112801, + 809872178, + 844084302, + -1, + 744421572, + 174874028, + 991546898, + 60206185, + 404553212, + 475681207, + 137286566, + -1, + -1, + -1, + 160239039, + 205744613, + -1, + -1, + -1, + 740287596, + -1, + 595745235, + 238579843, + 91758533, + 71247983, + 650220629, + 910508407, + 828350715, + -1, + -1, + 693379916, + 265908522, + 664558598, + -1, + 509068668, + 998140612, + 441240277, + 133524503, + -1, + 373911875, + -1, + 695340619, + 126460962, + 31182349, + -1, + -1, + 843169117, + 388390521, + 62377515, + -1, + 841146454, + 209533300, + 94403604, + 536396090, + 115331175, + -1, + 778195425, + 848904597, + 144504223, + 284812400, + 236318173, + 926060812, + 406207156, + 178859788, + 643048877, + 605526984, + 549316195, + 699462881, + 549185162, + 4444961, + 799229650, + 750319690, + -1, + 583044283, + 669348681, + 886353543, + 607786364, + 451823499, + 946068857, + 703068001, + 399406379, + 577559342, + 935702968, + 270086885, + -1, + 222034999, + 959481574, + 883978773, + 649781157, + -1, + 971049690, + -1, + 197214143, + 715664241, + 961785885, + -1, + 774551630, + 291813520, + 915898330, + 47647696, + 737485017, + 217245550, + -1, + 886416719, + 753118249, + 929094460, + 651867742, + 460055544, + 14401172, + -1, + -1, + 106546008, + 324444427, + 758989116, + 608269392, + 781095195, + 452546118, + 518235825, + 99467719, + -1, + 542972434, + 747369442, + -1, + 560572962, + 717271262, + 135248473, + 689498785, + -1, + -1, + 851995131, + 156569670, + 263915128, + -1, + 150824986, + 19403504, + 526522690, + 298776130, + 480964392, + 437526081, + 843061012, + 15061251, + -1, + 694484224, + -1, + 357529780, + 127219991, + 29672870, + 921252682, + 487827486, + -1, + -1, + -1, + 849509341, + 981541141, + 681060577, + 597591523, + -1, + -1, + -1, + 601741258, + 841876368, + 214231669, + -1, + 837932973, + -1, + -1, + 941525470, + 222607652, + -1, + 831769012, + -1, + 56518829, + 629840499, + 411987963, + 458340781, + 620846627, + 204931581, + 312368725, + -1, + -1, + 663470647, + 355548923, + 551907290, + 385785272, + -1, + 356956357, + 862466446, + 875112916, + 822467182, + 323630872, + 622988396, + 660433894, + -1, + 147707086, + 573740482, + -1, + 932896200, + 475775725, + -1, + 606023832, + 752099719, + -1, + 244752260, + 95107579, + -1, + 506309166, + -1, + 844507081, + -1, + 419615176, + 122419181, + 406139018, + -1, + 36639017, + -1, + -1, + 819972098, + 137974211, + 4114585, + 800542050, + 834318276, + -1, + 388990541, + 370220522, + 467123228, + 379881087, + 846347318, + 771386872, + 496396837, + 188004037, + -1, + 865586740, + -1, + 538005381, + 378834111, + -1, + 973750545, + 429422654, + 921967423, + 425555312, + 531643898, + 585173681, + -1, + 563616336, + 14014161, + 560859260, + -1, + 451799843, + 203781073, + -1, + 742624605, + 973200093, + 827127654, + 70213033, + 778012201, + -1, + 964440048, + 398041993, + -1, + -1, + 489420709, + 985643799, + -1, + -1, + -1, + 866328405, + 222136206, + -1, + 726095911, + -1, + 970107097, + 456250904, + -1, + 954191691, + 458674117, + 462143302, + -1, + 494228654, + 549129252, + 338012888, + 92143101, + 374677620, + 957695971, + 412644427, + 838765257, + 435722383, + 779536286, + 828058630, + 705354550, + 534472039, + 849141146, + 80556938, + 625298304, + 607600315, + 896128909, + 243038959, + 879284877, + 158752580, + -1, + -1, + -1, + 269973312, + 585381215, + 1673561, + -1, + 250708345, + 420200681, + 579807411, + 575231616, + 346032506, + 494886836, + 892143758, + 110786885, + 87043840, + 804727020, + 455700185, + -1, + 526065019, + -1, + 762629304, + -1, + 433344643, + 569566283, + -1, + 390413287, + -1, + 178807802, + -1, + -1, + -1, + 620567969, + -1, + -1, + 89875956, + -1, + 570346845, + 257153870, + -1, + -1, + -1, + 315729391, + 595203938, + 415960258, + 95708785, + -1, + 563411679, + -1, + 386101769, + 374095620, + 604460204, + 411298207, + 367578574, + -1, + 460647920, + 289466374, + 229350011, + 528843678, + 189844988, + 134007954, + -1, + -1, + 412336582, + -1, + 353954437, + 809496025, + -1, + 166045011, + 219838342, + 27212599, + -1, + -1, + -1, + 235824640, + 367320039, + -1, + -1, + 14912384, + 766950619, + 300990589, + 974879436, + 379558591, + 580590674, + 752059851, + 983913683, + -1, + 175087152, + 725750027, + 482730151, + 909057072, + 211635086, + 985448182, + -1, + 577399309, + -1, + 247961306, + 456519011, + 863554861, + -1, + 544032037, + -1, + -1, + 827237564, + -1, + 73045966, + 730593415, + 602333600, + 786614622, + 544445567, + -1, + 752388975, + 226078469, + -1, + 627490134, + -1, + -1, + -1, + -1, + 132979221, + 573126843, + 163625426, + -1, + 668637199, + 840847529, + -1, + -1, + -1, + 440148597, + 589716292, + 294922978, + -1, + 860657483, + 117061541, + 697148616, + 238036356, + 718706750, + -1, + 957830162, + -1, + 484892120, + -1, + 640735391, + -1, + 436506637, + 752564497, + -1, + 838239563, + -1, + 947231837, + 480813013, + 899139042, + -1, + 447686924, + 530186290, + 857272764, + -1, + -1, + 596341857, + 194302295, + 339972122, + -1, + 14768524, + -1, + 18216579, + 683223289, + -1, + -1, + 465737633, + 897428197, + 17000748, + 126131465, + 592385423, + 855105249, + 402069123, + 768050880, + 423208183, + 659550050, + 450368497, + -1, + 563310885, + 907198993, + 670710082, + -1, + 954087414, + 152758359, + 789879813, + -1, + 347525610, + -1, + -1, + -1, + 712095857, + -1, + 650734398, + -1, + 818508603, + 639234712, + 495481620, + 185386348, + -1, + 143558783, + 3574298, + -1, + -1, + 724986720, + -1, + -1, + 703687126, + 984713350, + 323511125, + 887915422, + -1, + 479547152, + 162480509, + -1, + 34470544, + 392291144, + -1, + -1, + 452709524, + 55654880, + 66536601, + -1, + 85231456, + 501145322, + 53983337, + 983548270, + 481033208, + 930396254, + -1, + 309858915, + -1, + 508939699, + 14412846, + 437781370, + -1, + 469599458, + -1, + 567983832, + -1, + 750829934, + -1, + 67017731, + -1, + 256279643, + 515045623, + 482803133, + -1, + -1, + -1, + -1, + 887964353, + 661652252, + 962071447, + 359884735, + 575893203, + -1, + 355939392, + 858699854, + 263574520, + 986932835, + -1, + 706012548, + 472489921, + 347362627, + 488441181, + 341797546, + -1, + 451552573, + 938482017, + 137883953, + -1, + 469780251, + 854161613, + 670265069, + -1, + 340133672, + -1, + 954364194, + 733655746, + 416634811, + 826944858, + 791105188, + 21294448, + -1, + -1, + 902175811, + -1, + 818968798, + 747579135, + 760820188, + -1, + 829573938, + 347725833, + 850623298, + 808841648, + 650567482, + -1, + 748822848, + 303550403, + 27355703, + 155226640, + 189408915, + -1, + -1, + 202083378, + 645095494, + 341401917, + 986764672, + 222815872, + -1, + 670514776, + -1, + -1, + 707038791, + 806202784, + 728958647, + 82369908, + 586033335, + -1, + 416091118, + 214832145, + -1, + 914117716, + 27080040, + -1, + 472368618, + 493358177, + 517497847, + 999693666, + -1, + 602154228, + 575997462, + 563682249, + -1, + 197197367, + 240758691, + -1, + 813540066, + 475333951, + 793167136, + 8625224, + -1, + 619247919, + 541895124, + 944062261, + 178099501, + 109603930, + 115596047, + 471032521, + 636138644, + -1, + 230079430, + 474487687, + 61671737, + 533237894, + 229229205, + -1, + 446217425, + -1, + 344261650, + 457748086, + -1, + 36194358, + 540939225, + -1, + 355321588, + 262196120, + -1, + 595509360, + 119116623, + 183640875, + 714829013, + -1, + 789973730, + 899162565, + 457660295, + -1, + 656946733, + -1, + 586890016, + 90546254, + -1, + 629267255, + 893305800, + 788407241, + 202126020, + 213798183, + 22536150, + 452576651, + 650646769, + -1, + 651809936, + -1, + 544513147, + -1, + 791110512, + 734078334, + 376002130, + -1, + 921013123, + -1, + -1, + 275859547, + 200149733, + 47021341, + -1, + 225361036, + 601492831, + 615873802, + 116423305, + 493966200, + -1, + -1, + -1, + 816830311, + 557935232, + -1, + 460966049, + -1, + 555669911, + 529090211, + -1, + 764271350, + 966748589, + -1, + 403373495, + 417789711, + 102796397, + 349329946, + 442646306, + -1, + -1, + -1, + 538331139, + -1, + 342704587, + 30847118, + 689385004, + 478235262, + 932318868, + 589066698, + 228453906, + 497244389, + 668009683, + 438089035, + -1, + 921712967, + -1, + -1, + -1, + 907016014, + -1, + 199766019, + 149778234, + 403575434, + 214878763, + -1, + -1, + 924997416, + -1, + 343948762, + -1, + 55501255, + 26807542, + -1, + -1, + 583137565, + -1, + -1, + 510856124, + 783869604, + 520132473, + 591199186, + -1, + 271297865, + 313768486, + 796317158, + 242011745, + 294415218, + -1, + 83587651, + 254564888, + 915191284, + 24118936, + 854717565, + 186520862, + -1, + 996071598, + 518156984, + 407128347, + -1, + -1, + -1, + 725584937, + -1, + 547756950, + 645466398, + 736521298, + -1, + -1, + -1, + 82982967, + 966771953, + 162996801, + 765943135, + 523584147, + -1, + -1, + 980841026, + 30716067, + 335245214, + 790481611, + -1, + 114124227, + -1, + 840037741, + 826913275, + 87368029, + -1, + 211304785, + -1, + 136195547, + 631461924, + 656643932, + 130150401, + 327831428, + 995642195, + 551787795, + 191418879, + -1, + 921397730, + -1, + 533350729, + 241547207, + 620784464, + 972898079, + 67245111, + 334426176, + -1, + -1, + -1, + 649184924, + 935551016, + 962980644, + 177442603, + -1, + -1, + 407319602, + 741355875, + 105195971, + 777107647, + 717303919, + 259476448, + 197798859, + -1, + 783446129, + -1, + 847491528, + 985287206, + -1, + -1, + 263602065, + 392816321, + -1, + 3185789, + 212373230, + 24362903, + -1, + 548207091, + 891172617, + 25218495, + 70484855, + -1, + 427863266, + 629650876, + -1, + 174732539, + -1, + 399373216, + -1, + 576688204, + 744710791, + -1, + 144977274, + 190180328, + 290095304, + 343384059, + -1, + 220984534, + -1, + -1, + 659102384, + 252278482, + 985889287, + 881415248, + -1, + 96890403, + -1, + 496042012, + -1, + -1, + 251519956, + 353598675, + -1, + 104982739, + -1, + 453631522, + 659138486, + 913514366, + 78801985, + -1, + -1, + -1, + 915142404, + 277760322, + 695280824, + 574238789, + 102220724, + 760769534, + 182002150, + 282462400, + 465838572, + -1, + 657783753, + 403784776, + -1, + 680185743, + 739249179, + 587965134, + 845015345, + 386728099, + 29546114, + -1, + -1, + 337128428, + 363499153, + -1, + 805165718, + 893209916, + -1, + -1, + -1, + 426383950, + 544882967, + 450579918, + 232568932, + -1, + 816773193, + 953586020, + 715065808, + 668244370, + 225824965, + 716744238, + 591775896, + -1, + 845822378, + -1, + -1, + 100735669, + 939116202, + 845916045, + -1, + 104848984, + 1563913, + -1, + 350965205, + -1, + 352094932, + -1, + 765775909, + 31692746, + -1, + -1, + 614318436, + 616798935, + 366658150, + 605788553, + -1, + 357904045, + 711136038, + 869908193, + 343511300, + -1, + 24308717, + 923480577, + -1, + 909773401, + 440063100, + 675895850, + 296671214, + 824583636, + 174013308, + 175617192, + -1, + 368237996, + 656208382, + -1, + 24232200, + 351364486, + 970353143, + 541850155, + 363949610, + -1, + 673627392, + 826061969, + 251935511, + 182641037, + -1, + 47692180, + 425703488, + 252638370, + 981212142, + 688296654, + -1, + 64894112, + 107373806, + 764244564, + 445289448, + -1, + 856409236, + 471211118, + 429494234, + 629015503, + -1, + -1, + 327145798, + 485468859, + 905205649, + 833990790, + -1, + 434216401, + 673878371, + -1, + -1, + 903990193, + 649554507, + -1, + 245023522, + 250218900, + 17870237, + -1, + -1, + 902220942, + 131961401, + -1, + -1, + 44178254, + 667379413, + 371433236, + 105838922, + 417289941, + 939382413, + 75237497, + -1, + -1, + -1, + 86450744, + 436441343, + 898702357, + 111925585, + 663691954, + 348135056, + -1, + 718369625, + 29142293, + -1, + -1, + 873146400, + -1, + 902398711, + -1, + 995600, + 599131027, + -1, + -1, + 511685279, + -1, + 645421797, + 677583856, + 274491774, + -1, + 233780795, + 715805445, + 194440543, + -1, + -1, + 493580774, + -1, + -1, + -1, + 670172298, + 386306513, + 951482291, + 927537332, + 488852229, + 307744780, + 45536974, + -1, + 227895133, + -1, + 799275274, + -1, + -1, + 943873959, + -1, + -1, + 588598222, + 63757996, + -1, + -1, + 522659812, + 625047997, + 87703560, + -1, + 67127169, + 824803047, + 746908993, + 927904622, + 612317587, + 761043778, + 878539815, + -1, + 502427943, + -1, + 296917565, + -1, + 829219785, + -1, + 682098670, + 330625728, + -1, + 808316222, + 997406047, + -1, + -1, + 849113132, + 308067867, + 774425737, + 863252387, + 657064559, + 395037037, + 172189088, + 666808297, + 491104691, + -1, + 386453198, + 249958922, + 910470095, + 353387724, + 362685450, + 547906501, + -1, + 885927886, + 20454949, + 86382917, + 576597935, + 167311011, + -1, + 804958588, + -1, + 220543675, + 385136503, + -1, + -1, + 617969920, + 648793727, + 989456939, + -1, + 712898307, + 636885535, + 202008777, + -1, + 586963634, + 284283332, + 389625229, + 595886534, + -1, + 767915258, + -1, + 468075617, + 221618976, + -1, + 702813882, + 582048296, + 596884203, + -1, + -1, + -1, + 603742495, + -1, + -1, + 943339609, + 346570636, + 727090841, + -1, + -1, + -1, + 849501174, + 454041977, + 680448825, + 602787143, + 521766136, + -1, + 13763202, + 246205395, + 676405052, + 446756762, + -1, + 493477374, + 484917177, + 630829759, + 653718833, + 314527245, + 101418542, + 842372163, + -1, + 817169586, + 566978928, + -1, + 632366241, + -1, + -1, + 404831141, + 90214116, + -1, + -1, + 654568569, + 83448258, + -1, + 195310502, + 632115125, + 771920574, + -1, + 946979018, + 451355773, + -1, + 779026233, + -1, + 241192092, + 921449935, + -1, + 676938550, + 347078490, + 319097508, + 826946966, + 814517329, + -1, + 512161021, + 53014825, + 129743407, + -1, + 531431764, + 676200053, + -1, + 415963280, + -1, + 737392656, + 485246021, + 285691194, + -1, + 659314063, + 628687685, + 384575761, + -1, + -1, + 302752958, + -1, + -1, + 802643823, + -1, + 174655187, + 300680223, + 618006886, + -1, + 813333291, + -1, + -1, + 798733009, + -1, + -1, + -1, + 619252244, + 406404890, + 447180909, + 157287266, + 245304313, + 418956027, + 656138630, + -1, + 326978502, + -1, + 116993781, + -1, + 994666136, + 952377590, + 602900417, + -1, + 852419456, + -1, + 332157245, + 631372502, + 92660304, + 664203466, + -1, + -1, + -1, + 889274220, + -1, + -1, + 326982244, + 732621001, + 662160578, + 43185254, + 198844699, + 607950748, + 47950152, + -1, + 628189685, + 535483011, + 931489031, + 189488817, + 135256539, + 775193598, + -1, + -1, + -1, + 78783675, + 125075831, + -1, + 524579652, + -1, + 513177282, + -1, + -1, + 677153653, + 348836916, + 856472767, + 489500923, + 251522520, + 896706273, + -1, + -1, + 16116557, + 542179931, + 424222001, + 293115672, + -1, + 41309762, + -1, + -1, + 412907213, + 163202809, + -1, + -1, + 96138200, + 582880467, + 830612725, + -1, + 811597614, + 437172604, + 38145465, + -1, + 192916107, + -1, + 915063731, + 79199943, + 365014997, + 801097203, + 670767549, + 659296926, + 125694557, + -1, + 258070882, + -1, + 267273117, + 289079885, + 769538650, + -1, + 57270459, + 399725835, + 687065748, + 594568438, + 70623290, + 271364394, + 813801577, + 612050431, + -1, + 97870849, + 870484971, + 545944530, + 893138491, + -1, + -1, + 746715736, + 928711910, + 103800923, + 782214787, + 282764352, + 247059838, + -1, + 934909515, + 161388463, + 172442899, + -1, + 518743372, + -1, + 775547709, + 573448552, + 915722987, + 270157939, + 679993994, + -1, + 580743399, + 425718055, + -1, + -1, + 421140689, + -1, + 252650051, + -1, + 709184197, + 95133434, + 826872815, + 623825588, + 188566728, + 818911075, + 684831147, + -1, + -1, + 524030594, + 119945583, + 524444048, + -1, + -1, + 582546442, + -1, + -1, + 901116591, + 787626195, + 648066437, + -1, + -1, + 617074557, + 471049067, + 285580114, + -1, + 954818363, + 704676502, + 56127195, + 817018855, + -1, + 920952705, + -1, + 52543105, + 360800864, + 963537937, + -1, + 255078303, + 720053817, + 630393318, + 3654052, + 86938727, + 111841515, + 533601057, + 945079016, + 518642421, + 879787118, + 220713432, + 987303846, + 188660409, + 943462758, + -1, + -1, + 3539386, + -1, + 486523674, + 239604778, + -1, + 83445197, + 598101608, + -1, + 337021511, + 671308546, + -1, + 731493019, + -1, + 327450846, + 209103936, + -1, + -1, + 840116561, + 925727925, + 322643268, + -1, + 139212154, + 973068961, + 903530308, + 816958616, + 940703262, + 512844620, + -1, + 782211284, + 567544389, + -1, + -1, + 371379109, + -1, + -1, + 759765055, + 608542745, + 375176095, + 743095477, + 335644395, + 890059061, + -1, + 495049998, + -1, + 715646746, + 750628165, + -1, + 569008085, + -1, + 729438558, + 374211001, + 138999691, + 806253050, + -1, + 939140765, + -1, + -1, + -1, + -1, + 372861253, + 58781372, + 125866428, + 909041002, + 754168104, + 770603193, + 783070867, + 399195817, + 681650165, + -1, + 479129155, + 848152452, + -1, + 691500317, + 327426741, + -1, + 948784717, + 422361804, + 825143318, + -1, + -1, + 920208055, + 164112740, + 104528347, + -1, + 662452859, + 36549470, + -1, + 324148747, + 373968431, + 269609041, + -1, + -1, + 318612036, + 818774196, + 207644623, + 345036179, + -1, + 793476665, + 155124718, + -1, + -1, + -1, + 128151099, + 712126586, + 997887157, + -1, + 742176319, + -1, + 510375890, + 118032555, + 890172314, + -1, + 566369785, + 144040062, + 932865685, + 580553297, + 969783662, + 653540685, + 43701717, + -1, + 324088016, + -1, + 950279029, + -1, + 802822448, + 20689898, + -1, + 766911232, + 24750895, + 121851307, + 610464183, + -1, + 564728309, + 597338075, + 341143964, + 239230611, + -1, + -1, + -1, + 481615216, + 77639683, + 361051306, + 806156777, + 23910822, + 17464693, + -1, + -1, + 625747906, + 499641865, + 430420862, + -1, + -1, + 620546332, + -1, + 815007087, + 929110348, + -1, + -1, + 987045958, + 186294322, + -1, + 66417087, + 474668975, + 455789052, + -1, + -1, + -1, + -1, + -1, + 529772738, + 818638028, + 401998995, + 846772775, + 700144308, + -1, + 687852458, + 158021177, + 113404508, + 235352635, + 168343360, + 108805829, + 978699967, + 787971577, + 191076548, + 998990718, + 967965293, + 930430733, + 830416776, + 842725624, + 855724688, + 961667844, + 257742420, + -1, + -1, + 664903825, + 310477825, + -1, + -1, + 177676186, + -1, + 351435896, + -1, + -1, + 680010617, + 7297179, + 910503562, + 253866132, + 833347195, + 971440721, + 256461759, + 626165091, + 218989891, + 714973216, + 576187260, + -1, + 10563856, + 428901292, + 80027054, + -1, + 677470697, + -1, + 606183823, + 78189169, + 494516786, + -1, + -1, + 860538724, + -1, + 745858581, + 480282527, + -1, + 534726140, + 320145072, + 841646402, + -1, + 89499086, + -1, + 972901746, + 890639771, + 117795975, + -1, + -1, + 656806069, + 744731199, + -1, + 836310874, + 906543813, + -1, + 358787751, + -1, + 681627771, + -1, + -1, + -1, + -1, + 883426604, + 197964568, + 622977290, + 455569997, + 672683504, + 5163578, + -1, + 979006572, + 503672458, + 146053560, + 131868943, + -1, + 533473004, + 291106856, + 467551812, + 274122214, + 933273328, + 307109762, + 494256841, + 629914824, + 560075242, + 988136233, + 221032052, + -1, + 253465719, + 259676287, + 811959954, + 786069138, + 809095989, + 368000630, + 883020945, + 515398312, + -1, + 772848902, + 668070017, + -1, + -1, + 793307587, + -1, + 449730751, + -1, + 910239021, + -1, + 841549401, + 819359407, + 963377040, + 135199900, + 623578807, + 372832279, + 78231197, + 734312327, + 66396817, + 986344664, + 694016160, + 94122481, + 766486747, + -1, + 262369167, + 818649748, + 716497816, + 892072910, + 30062924, + -1, + 124066230, + 786115813, + 489248833, + -1, + -1, + 291281958, + 131361395, + 111833385, + 349738729, + 968708604, + 107454349, + -1, + 173019557, + 857748302, + -1, + -1, + -1, + -1, + 28575494, + 838522651, + 733327311, + 48697533, + 833703877, + 915372528, + 154958996, + 786233380, + 657695841, + 969481841, + 324812243, + 182258321, + 464460377, + 293033909, + 198189953, + 688813214, + 176264904, + 242409201, + 62261667, + -1, + 171028571, + 751275166, + 638672257, + -1, + -1, + 492024891, + 984737632, + 155020223, + 131173393, + -1, + 916943078, + 132347032, + -1, + -1, + 328030673, + -1, + 414028350, + 331579644, + -1, + 232830685, + -1, + -1, + 621211688, + 123456173, + 390740381, + 988595206, + 73861567, + 962244241, + -1, + 462958246, + 492705613, + 275073674, + -1, + 381223075, + 502060207, + 471450517, + 736147445, + 446819846, + 960289868, + 570586699, + -1, + -1, + 712417966, + -1, + 354606090, + -1, + -1, + 354651307, + 473302468, + 422093604, + 635719828, + -1, + 62916041, + 284181378, + 304647195, + -1, + 787946306, + 881792763, + -1, + 118140588, + 598227938, + 70363564, + 95500661, + -1, + 742175352, + 287652985, + 709043091, + -1, + 289940308, + 429612602, + 115372445, + 868903752, + 941701418, + 341594657, + 926845463, + -1, + -1, + 916830706, + -1, + 513665769, + 429557607, + 105900199, + 458447278, + 598977474, + 144552663, + 922992907, + 79461863, + 931840239, + -1, + -1, + 904161891, + 546401713, + 339495689, + 279735428, + 631672302, + 473602988, + 945528355, + 984077885, + -1, + 587486059, + 556005517, + 755876738, + 281026827, + 892714720, + 83159274, + 674990795, + 678975388, + 652838505, + 867412627, + 808387722, + 910502812, + 870022298, + 24095279, + -1, + 319020221, + 343617686, + 370926237, + -1, + 33871877, + -1, + 394039506, + 325908185, + 335379436, + 41252788, + -1, + 935209621, + -1, + -1, + 866956598, + -1, + -1, + 899568374, + 783688001, + -1, + 17263379, + 926506460, + -1, + 662070162, + 763655795, + 660257331, + 514042906, + 833271074, + -1, + 763991350, + -1, + -1, + 891578111, + -1, + -1, + 336537814, + -1, + -1, + -1, + 478256910, + -1, + -1, + 396742130, + 70878139, + -1, + 843594949, + 611589035, + 695427181, + 9159408, + -1, + 916425407, + 273682342, + 213004712, + 993771355, + 908125709, + 96374849, + 372447953, + 706747157, + 285699074, + 534580653, + -1, + 410921750, + -1, + 456566384, + -1, + -1, + 924107212, + 340338947, + -1, + 592785292, + 156515831, + 274076268, + 714842890, + 61163498, + 22962575, + 143751638, + 676926461, + -1, + 561134152, + 59924208, + 729808025, + 833911727, + 496639475, + 210336995, + -1, + 792906807, + -1, + 224593448, + -1, + -1, + -1, + -1, + 358456570, + 641417543, + -1, + 989133247, + -1, + 660555027, + 382471364, + 477227513, + 262683904, + 913844700, + -1, + 885316544, + -1, + 286793546, + -1, + 691450800, + 50118150, + 68316135, + 868797626, + 570303262, + 598575575, + -1, + -1, + 959050803, + -1, + -1, + 474460871, + 747415623, + -1, + -1, + -1, + -1, + 775108217, + 954594104, + 233006655, + 664410013, + -1, + 234218385, + 582952029, + 351843570, + -1, + 969254881, + -1, + -1, + 248705683, + 827021918, + 868423004, + -1, + 263452138, + -1, + 10736226, + -1, + -1, + 49613215, + 211511119, + -1, + 34522879, + 128604960, + 559270611, + -1, + 691064415, + -1, + 928712639, + -1, + 42513266, + -1, + 109907182, + 382928697, + 393401896, + 812388892, + -1, + -1, + 470887084, + 726474505, + 763389862, + -1, + -1, + 818300501, + 869612129, + 666263766, + 894468214, + 254922965, + 518836630, + 147864951, + 459783197, + 408615074, + 408074157, + 78428522, + 850306570, + -1, + 896152144, + -1, + 633604906, + 207952478, + -1, + 758829471, + 20685921, + 9959264, + 491996109, + 755531405, + 615695693, + -1, + 415677128, + 2413399, + 819683001, + 583506795, + 487861472, + -1, + 857037335, + -1, + 211123183, + -1, + 570853597, + -1, + 82462398, + 275221396, + 471314938, + 254019308, + 550429769, + 861639582, + -1, + -1, + 185972319, + 498973335, + 892125957, + 776448205, + 630908656, + -1, + 154373426, + 173900269, + 641968702, + -1, + 445952719, + 961296967, + 123754065, + -1, + 693215913, + 598888286, + -1, + 326098477, + 382093690, + -1, + -1, + 498947187, + 721647583, + 465789089, + 658310306, + -1, + 725787154, + 335384625, + -1, + 271009245, + 973646902, + 982540647, + -1, + 145410365, + 373186169, + 146711721, + 357422291, + 300910172, + 671355129, + 970298596, + -1, + 673439000, + 172972761, + 438714676, + 5535084, + 126273163, + 343067180, + -1, + -1, + -1, + -1, + -1, + -1, + 551736638, + -1, + 727182178, + 869387005, + 465436718, + 453397472, + -1, + 523765701, + -1, + -1, + -1, + 704416992, + 778500039, + 959337600, + 59295493, + 551199043, + -1, + 201960839, + 602741446, + -1, + 482853450, + -1, + 135833718, + -1, + -1, + 564920767, + 426329885, + -1, + -1, + 54217965, + 550525099, + 208619312, + -1, + -1, + 226846553, + 694214611, + 808415427, + 943282032, + 847457320, + 511889671, + -1, + 258611052, + 76365151, + -1, + 954290054, + 130703938, + -1, + 553018763, + 120087387, + -1, + 729712047, + 715348912, + 198273927, + -1, + -1, + 513713687, + 937736097, + 398452736, + 901134343, + -1, + -1, + -1, + 99016133, + 110475605, + -1, + 875692657, + 777682126, + -1, + 301216006, + 444907601, + -1, + 79108578, + 811363302, + 874594381, + 582743372, + -1, + 364122249, + 706720026, + -1, + -1, + 280555104, + -1, + -1, + -1, + -1, + 789693655, + 398293569, + -1, + 344062470, + -1, + 314415876, + -1, + -1, + 609774061, + -1, + 668375964, + 72104698, + -1, + -1, + 654074764, + 446563181, + 917719199, + 293161631, + 217256300, + -1, + 537649023, + -1, + 463026345, + 454906506, + 988113267, + 768487035, + 419212323, + 485381256, + 870947595, + 19414656, + -1, + 904190455, + 507403455, + 324067624, + -1, + 661042151, + 125699679, + -1, + 420818408, + 851192508, + 780629821, + 479192362, + 635128434, + 79464689, + 825401461, + 407083969, + 73758497, + -1, + 688276566, + 577068584, + -1, + 180856990, + 399573956, + 631426380, + -1, + -1, + 378894387, + 407639068, + -1, + -1, + 287806807, + 617519453, + -1, + -1, + -1, + 480703170, + -1, + -1, + 607625857, + 591296355, + 174838626, + -1, + 995586822, + 575992773, + 275116885, + -1, + 662368611, + 479025280, + 810579018, + -1, + -1, + -1, + 697641742, + 902357206, + 281626861, + -1, + 21807540, + 993970753, + 568625681, + 408578587, + 147965115, + 70345648, + 558106172, + -1, + -1, + 81890950, + -1, + 591634969, + 139647407, + 568247243, + -1, + -1, + 891023368, + 161780028, + -1, + 209881067, + -1, + -1, + 103160296, + -1, + 175312907, + -1, + 36592568, + 986188671, + 50492766, + 496395286, + -1, + 240089523, + -1, + -1, + 200470267, + 28948863, + 666731702, + 95024255, + 906066626, + 283175969, + 958502610, + -1, + 753633127, + 133175244, + 6130209, + 394313124, + 127189943, + -1, + -1, + -1, + 921866974, + 815374129, + 666543703, + 118227211, + -1, + -1, + -1, + 816546626, + 802071806, + 617896955, + -1, + 391020514, + 247276987, + 827988513, + -1, + -1, + 672068646, + 522814259, + 964734782, + 906254820, + -1, + 672716825, + 213472378, + 833362538, + 515536866, + 75906980, + -1, + -1, + 768945390, + 14213831, + -1, + 638738481, + 631720095, + 937080076, + 817529953, + 744303592, + 586668866, + -1, + -1, + 847517087, + -1, + 142074984, + 32573925, + 807095569, + -1, + 226719911, + 832554879, + 799499460, + -1, + 467039820, + -1, + 644278113, + 389060360, + 197715317, + 102765476, + 341446195, + 716034694, + -1, + 88675824, + 256398207, + 42492946, + 452410684, + -1, + 216443294, + -1, + 412733881, + 553654986, + 35863234, + -1, + 930599368, + -1, + 610391401, + 784696633, + 687856295, + 263144585, + -1, + 404197568, + 896418949, + 688685061, + 371207310, + 790308241, + -1, + 382078443, + -1, + 679738269, + -1, + 184587205, + 806754967, + 295882298, + -1, + 938784949, + -1, + 31702553, + 641331823, + 588657050, + -1, + 841331433, + 414501986, + -1, + 114404114, + 649898241, + 734616366, + -1, + 349978886, + 785802945, + -1, + 161756890, + -1, + -1, + 620386713, + 63660717, + 540322212, + 149297253, + 618151697, + 151275244, + 637450344, + 655299605, + 139180604, + -1, + -1, + -1, + 545392306, + 231933692, + 711870592, + 360237724, + -1, + 703717179, + 464972924, + 944472239, + -1, + 174179959, + 762136910, + 392175739, + -1, + 418543145, + 934778468, + 877736927, + 241258167, + -1, + 517836612, + -1, + 935522627, + 750260712, + -1, + 471990795, + 847524062, + 406310751, + 182642139, + 302068929, + 531772527, + 94531899, + 349250979, + 267109614, + 62465327, + 949598089, + 116118368, + 462020526, + -1, + -1, + -1, + 52296368, + 460385128, + 699815712, + 487046270, + 259398228, + 634022460, + -1, + -1, + 521536643, + 479305295, + 856158562, + 358336490, + 175520096, + 13410992, + 842355520, + 439587676, + -1, + 675238982, + 985799017, + 881956690, + -1, + 224800569, + 547699900, + -1, + 465982028, + 236815573, + 896627043, + -1, + -1, + -1, + 582487357, + -1, + 201993645, + 912445785, + -1, + -1, + 875611406, + 203522439, + -1, + -1, + 163231463, + 297910357, + 710690056, + 759863971, + 877306278, + 313491608, + -1, + 493834876, + 17877629, + 32090329, + 907157684, + 229231232, + -1, + 879817376, + 301462481, + 173343766, + 394490467, + 323117685, + -1, + -1, + 858206581, + 391765235, + -1, + 598512739, + 522059662, + -1, + 597828567, + -1, + 863530684, + 874636338, + -1, + 66618912, + -1, + 901799562, + 212028900, + -1, + 706273963, + 959068801, + 573415743, + -1, + 11161579, + -1, + -1, + -1, + -1, + 799205838, + 142639191, + 853921191, + -1, + 489493563, + 258649417, + 308895465, + -1, + 619969639, + -1, + 817298549, + 3823086, + -1, + 74145207, + 850326565, + 875401363, + 629927273, + 166845663, + -1, + 307206289, + 80045252, + 463152651, + -1, + -1, + 435189989, + -1, + 433025289, + -1, + -1, + 213068858, + 802654238, + 617021209, + 620675887, + 788022903, + -1, + 958003313, + 625282910, + -1, + 413757068, + 710253299, + 192938441, + -1, + 962416594, + -1, + 738766351, + 397889377, + 975723641, + 335532647, + 984877764, + -1, + 227529672, + 30565319, + 657863317, + 52500798, + -1, + 63362477, + -1, + 960836637, + 726456950, + 550058, + 569066337, + -1, + -1, + 865033127, + -1, + -1, + 627673417, + 861873969, + -1, + 40614969, + -1, + -1, + -1, + 389853429, + -1, + -1, + 34527254, + 470982370, + 547333859, + -1, + 696568646, + 80188229, + 667807587, + 860693703, + 426332515, + 770498756, + 14274655, + -1, + 79519246, + -1, + 300884271, + 381469161, + 311184699, + 330687788, + 673508732, + 909388074, + 680582570, + 85691677, + 654435734, + 566858328, + -1, + -1, + 935227541, + 112528705, + 208192176, + 15423039, + 753059601, + 864346288, + 686495930, + 59951192, + 102756689, + 898466460, + -1, + 813168548, + 480389195, + 792301183, + 944753901, + 734415018, + -1, + 242249451, + 465750947, + 186087362, + -1, + -1, + -1, + 177922173, + 27689112, + -1, + 537456257, + 525082440, + 630558026, + 640677688, + 898680877, + -1, + -1, + 603045860, + 288058736, + 814518183, + 578389305, + 300591333, + 676715476, + 813263766, + 646882134, + 343243631, + 655043929, + 300844956, + 73409956, + 406296355, + -1, + -1, + 468566540, + 302847297, + 625528967, + 85850427, + 878631463, + 273765798, + 645086630, + 476771633, + 85845661, + 968966696, + -1, + -1, + 401081788, + -1, + 810522238, + -1, + -1, + -1, + 570736120, + 347506051, + 293370165, + 558902783, + 724783448, + 387282575, + 449475222, + -1, + 91373361, + 516361775, + -1, + 280643534, + -1, + 8765513, + 525512016, + 360998523, + 549961383, + 255970717, + 379946409, + -1, + -1, + 664355251, + 286094168, + -1, + -1, + 593649335, + -1, + -1, + 926987438, + 785244470, + 2128795, + 158666258, + -1, + 616029541, + 453791474, + 51778586, + 972121001, + 616653379, + 428754022, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 835865871, + 577169171, + 572480372, + 573494854, + 173675336, + -1, + -1, + 288638009, + 813414341, + 472113284, + -1, + 129993787, + 197553796, + 667013074, + 323289395, + 891212843, + 448013357, + -1, + 593318780, + 74091509, + 951105421, + 760370656, + 235262297, + 565391076, + 552027661, + 286369600, + 733071096, + -1, + 140477689, + -1, + 839405388, + -1, + 714034299, + -1, + 258221439, + 520599228, + -1, + 447893133, + 1829793, + 679529544, + 928184808, + -1, + -1, + -1, + -1, + 564678286, + -1, + 377812334, + 307341953, + 37797782, + 227997377, + 314843294, + 254383722, + 49037225, + -1, + 550556260, + 767576017, + 111210097, + -1, + 849678319, + 752142106, + 64846485, + 466447567, + -1, + 591049476, + 458765739, + -1, + -1, + 457690602, + 801209762, + 834320275, + 847664135, + 659255175, + 531427870, + 78672199, + -1, + 282698339, + 985080082, + 953438956, + 78466174, + -1, + 303524798, + 784735533, + -1, + 411880048, + 851109705, + 321153236, + 274642428, + 396369656, + 759860572, + -1, + 261782119, + 673928651, + 803993330, + -1, + 388191326, + -1, + 733411073, + -1, + 306581920, + 296630888, + -1, + 975687661, + -1, + 488875455, + 18018926, + 875887286, + 404690727, + -1, + 457677696, + 749731792, + -1, + 760168231, + -1, + 151726021, + -1, + 448691084, + 491795485, + 771927671, + -1, + -1, + 626651976, + 243177443, + -1, + 647019986, + 186925080, + 504739666, + 224894364, + -1, + 216103355, + 2739388, + 742236082, + -1, + -1, + 562353760, + -1, + -1, + 521809199, + 561673512, + 541222801, + 683148022, + -1, + -1, + 905343073, + 181738365, + 349371953, + 878767660, + -1, + 492972567, + 165888876, + 562201760, + 48667267, + -1, + 791122757, + -1, + 387683109, + 914941931, + 944547601, + 384818330, + 160479891, + 910180218, + 623973959, + 956319773, + -1, + 509165872, + 613833012, + 101937103, + 308609656, + -1, + 425967901, + -1, + -1, + -1, + 249747325, + 133183098, + 216462989, + 878976219, + 946922729, + -1, + -1, + 867535214, + -1, + 239251151, + -1, + -1, + 137667072, + -1, + 731211042, + -1, + -1, + -1, + -1, + 984285077, + -1, + -1, + 620034683, + 691454389, + -1, + 899883047, + -1, + 679168261, + 989560556, + -1, + 820911140, + 90679719, + 217685716, + 395622501, + 807568823, + 846828443, + 452841790, + 321288719, + 919100679, + 126738515, + 707894375, + 355566796, + -1, + -1, + -1, + 160613219, + -1, + -1, + -1, + 515590045, + 456645423, + 148003688, + -1, + -1, + 24238279, + 715987819, + 810294465, + 717409663, + 172234230, + 28769709, + -1, + 344384641, + 235051435, + 708108759, + 855263654, + 1702054, + 671688582, + 88252003, + 603564783, + 339577225, + 676852436, + -1, + -1, + 227989544, + 390050780, + 115938050, + -1, + 469318635, + -1, + 539785107, + -1, + 964188119, + 982882085, + 976326626, + 891775788, + -1, + 161510320, + -1, + -1, + 472552034, + -1, + 630004983, + 601248203, + 379695783, + 579156573, + 119740677, + 368927902, + 339520897, + 291366763, + 642935180, + 928239850, + 807031871, + 483080337, + 746312563, + 256286455, + 615720354, + 593303831, + 192329279, + -1, + 201168747, + 867859958, + 347922951, + 219990453, + 907459487, + 40065075, + -1, + -1, + 947126711, + 7245657, + 869499359, + 95826867, + 21527368, + -1, + 389389869, + 746056649, + 763658998, + 81169798, + 143469442, + 892033008, + 545370349, + -1, + 496061789, + 490321978, + 238977953, + 581471793, + 827880791, + -1, + 83634167, + 463104428, + -1, + -1, + 896817493, + 325976854, + 422349204, + -1, + 739921314, + 117553136, + 387672482, + 111548575, + -1, + 681285376, + 721507229, + 313884943, + 222190559, + 192734519, + 315348047, + 879059296, + 990740397, + -1, + 139514018, + 382610000, + -1, + 407145684, + 451083450, + 999868282, + 670754213, + 560588287, + -1, + 860047303, + 924273781, + 848584088, + 996281311, + 615782732, + -1, + -1, + 523569792, + -1, + 728950378, + 193029645, + 814526683, + 350959965, + -1, + 308722462, + -1, + 740828858, + 202309679, + -1, + -1, + -1, + -1, + 839472837, + 934994203, + 148450070, + 753267936, + 995244092, + 741459967, + 460212652, + -1, + 691526208, + -1, + -1, + 418867060, + -1, + 224667662, + 38901709, + 889855551, + 600326147, + -1, + 479850156, + 822975716, + 953663162, + 140292830, + -1, + 831014844, + 69203058, + -1, + 599794366, + 894118721, + 719931855, + 976773487, + 947562989, + 454588986, + 387864607, + 956264378, + -1, + 532141977, + 156698741, + -1, + 63408501, + 293417146, + -1, + -1, + 487016912, + 282255741, + 511875524, + 195088890, + 793484692, + -1, + 638998651, + -1, + 303263697, + 572426851, + 91466904, + -1, + 337882476, + 272749289, + 126154017, + -1, + 160437091, + -1, + 666988709, + -1, + 265034867, + 576282380, + 636213031, + -1, + 840066662, + 773555612, + 182056126, + -1, + -1, + -1, + -1, + 695720425, + 335267274, + 563808976, + 78715536, + 631895882, + 441019559, + 48568352, + -1, + 6532281, + 49720801, + 898718135, + 322454931, + 253941925, + 531473225, + -1, + 489368038, + 501050854, + 474597651, + -1, + 501987021, + -1, + 250202592, + 697925998, + 623615297, + 23268058, + 806702671, + -1, + 56210074, + 348398042, + 919872527, + -1, + 343868629, + 210722721, + -1, + 749138383, + -1, + -1, + 342763764, + -1, + 866132251, + -1, + 761088010, + 714476463, + 596193379, + -1, + 782859509, + 138513883, + 528492273, + 630199387, + 37259731, + 20024161, + 989699430, + -1, + 317652052, + 737909164, + 639333911, + 872438231, + 735832066, + -1, + 312134210, + 647837369, + -1, + 646475565, + 227904653, + -1, + 98765466, + -1, + 791916756, + -1, + 810252320, + 416760543, + 206357032, + -1, + 89741903, + -1, + 683815032, + 33891884, + 917249756, + 149314168, + 252028505, + 572860547, + 349585039, + -1, + -1, + -1, + -1, + -1, + 850815233, + -1, + 966608918, + 939125301, + 502122453, + -1, + 411823409, + 647187791, + 98521483, + -1, + -1, + 622988555, + 52874318, + 780958178, + 156927858, + -1, + -1, + 22706328, + 173391273, + 172535502, + 138715757, + -1, + 198190139, + -1, + 642855158, + -1, + 541228788, + -1, + -1, + 151308692, + 473570063, + -1, + -1, + 517970553, + -1, + 211156204, + -1, + 341048161, + 784293114, + 325033600, + 277744644, + 92812850, + 518616732, + -1, + -1, + 854062482, + 405023714, + -1, + 94185693, + -1, + 351301532, + 382037780, + 529067431, + 427519790, + 350186810, + 765300494, + 170364317, + 112873816, + 688056885, + 9569532, + 597299441, + 454878695, + -1, + 678848011, + 889151921, + -1, + 281092802, + 844091599, + -1, + 219473522, + 551998450, + 855336292, + 749117509, + 842645520, + 303706411, + 330447439, + 346319999, + 193158848, + 311145539, + 322369963, + 593689758, + 71024638, + 315592484, + -1, + 348284007, + 965730952, + 909259436, + -1, + -1, + -1, + -1, + -1, + 97546343, + -1, + 640218683, + -1, + 746582784, + -1, + 583769939, + -1, + 658498339, + -1, + 275360904, + -1, + 41509960, + 54697533, + 206718748, + -1, + -1, + 101658253, + 391003201, + 163517001, + 587860266, + 201113042, + 366572467, + -1, + 271659603, + -1, + 42175489, + 986544307, + 128251106, + 960974893, + 992699065, + 197042595, + 26272303, + 999405263, + -1, + 92041435, + 850151249, + 405582899, + 473122146, + 171721987, + -1, + -1, + 618040285, + 652168065, + -1, + -1, + 709567934, + 200863654, + 747426813, + -1, + 86426920, + 842117047, + 833563910, + -1, + 521437798, + 639019033, + -1, + 281586834, + 58484053, + 919473841, + 700082485, + -1, + 94290407, + 243560457, + 806070483, + -1, + 155117581, + 850466099, + 587796450, + 351368429, + 285933249, + 314143327, + 77871409, + 318755827, + -1, + 297372146, + 238653487, + 716757786, + 475973056, + 78026097, + 284680097, + 898291460, + 679516371, + 45373612, + 675341050, + 256927401, + -1, + 941074365, + 164300126, + 420201052, + 398953999, + -1, + -1, + 877413800, + 470106810, + 723718870, + -1, + -1, + 64804611, + 63183201, + 732713237, + 723109991, + -1, + -1, + 974834086, + 252503183, + 831231391, + 60170048, + -1, + 772988313, + 956066043, + 617983896, + 200550436, + -1, + 524247071, + 526995019, + 839786797, + -1, + 905177045, + -1, + 670061765, + 442494963, + -1, + 972156092, + 176617803, + 466877343, + 438750526, + -1, + 451706080, + -1, + 623008130, + 598039067, + -1, + -1, + -1, + 31158828, + 951390093, + 234550411, + -1, + 529725199, + 596951245, + 252928736, + -1, + 255891155, + 11680465, + 47127618, + -1, + -1, + 820041726, + 604874895, + 526173377, + -1, + 586322851, + 983456142, + 971817770, + 103379439, + -1, + 804583127, + -1, + 420506565, + 591996958, + 105788516, + 504371974, + 337208717, + -1, + 495314257, + 264084894, + -1, + 28917763, + -1, + 207644733, + 494090911, + 857126264, + 242398922, + 266407295, + -1, + 242791832, + -1, + 591406765, + 275870299, + 490425978, + 361968103, + 738152436, + -1, + 494517974, + 203346343, + -1, + 105964460, + 665770587, + 61566037, + -1, + 298213945, + 165113045, + 790015568, + 516820830, + 746038284, + 542395454, + 44961404, + 811505958, + 902337959, + -1, + 89822259, + 227283094, + 379859725, + -1, + 209213120, + 192621271, + 270028855, + -1, + -1, + 448815442, + 837002845, + 561951080, + 295404037, + 375914073, + 824058145, + -1, + -1, + -1, + -1, + 52411996, + 978636709, + 86222082, + 701238758, + 255507676, + 103239796, + 860554157, + 2771544, + -1, + -1, + -1, + 910608193, + -1, + 848195624, + -1, + -1, + 643290377, + -1, + -1, + 649077272, + -1, + -1, + 415404085, + -1, + 220682237, + -1, + -1, + 498502268, + 463976341, + 138418544, + -1, + 149342100, + 72059756, + 482884422, + 451138608, + -1, + -1, + 597982347, + 614963457, + 733103993, + 719721910, + 771708504, + 316235130, + 312780802, + -1, + 523094324, + 737228492, + -1, + -1, + 760279091, + 265341207, + 495841278, + 352619699, + 594965654, + 228539448, + -1, + -1, + 995429623, + 153335291, + 155018410, + 724281064, + 607601617, + -1, + 236237739, + 391248682, + 360317643, + -1, + 472479889, + 244249831, + 36136394, + 613329804, + 105260986, + -1, + -1, + 127606332, + -1, + 329240445, + 468398909, + -1, + 480091875, + -1, + 850102968, + 391535033, + 131967126, + -1, + 856007174, + 748526425, + -1, + -1, + 347702281, + 371731475, + 943825552, + 371965351, + 640935363, + -1, + 354866969, + -1, + -1, + 727490446, + 837694291, + 926777328, + 334731747, + 330593028, + 314584948, + 752434459, + 115655810, + 152327301, + -1, + 930387860, + -1, + 318866054, + 752929272, + 470427829, + 431753961, + 452903449, + 653901006, + 958802932, + -1, + 572726116, + 189870646, + 69576041, + 350254725, + 462803436, + 744326090, + -1, + 633011240, + 78477150, + 468720329, + 860864297, + -1, + 519112608, + -1, + 366081838, + 778252664, + 840105609, + 482200849, + -1, + 182903359, + 520784514, + 752889767, + 177885619, + 88106798, + 63842523, + 165015236, + 397019097, + 974240021, + 448691382, + 666862449, + 506941535, + -1, + 80269167, + 875546693, + 762846807, + 355320541, + 220375784, + 458559991, + 190603466, + -1, + -1, + 642101292, + 821616498, + -1, + 647157693, + 478646710, + -1, + -1, + 665537562, + 235669342, + 345056198, + 429221264, + 12876228, + 150894834, + 272325664, + 695576548, + 306164318, + -1, + 56142012, + -1, + -1, + 798759345, + -1, + 180952552, + 22977064, + 825935826, + 721398090, + 166380501, + 303969701, + 177020610, + 902434055, + 685442240, + 493891376, + 179765928, + -1, + 32053442, + -1, + 288512212, + 482364446, + 755111576, + 801424550, + 879660574, + -1, + 401557202, + 315693705, + -1, + 962914036, + 166416349, + 108150928, + 504281139, + 958670992, + 573535557, + 202546452, + 962929025, + 742941101, + -1, + 58065961, + -1, + 60082791, + -1, + 963185598, + 206585090, + 218821796, + 437041123, + 833473108, + 923762878, + 13570711, + 389202594, + 447776746, + -1, + 155648365, + 693153034, + 488016859, + 496505707, + 330869415, + 49396675, + 207221579, + 530165158, + -1, + -1, + 828021228, + -1, + 124113897, + 96768502, + 981787087, + -1, + 49361690, + 114158358, + 770172489, + 570533374, + 624560069, + 110968502, + -1, + 944605025, + 273843398, + 580520040, + 359702685, + -1, + -1, + 200752485, + -1, + 736900254, + 588410294, + 824298711, + 780093968, + 172630078, + 407490386, + 280905172, + 43827600, + 757437383, + -1, + 648188511, + 351017556, + 913151030, + 711228248, + 65215129, + -1, + 698037669, + 718914053, + 657936292, + 282087103, + 118485359, + 414863027, + 564578620, + 740656932, + -1, + 803865330, + -1, + -1, + 295961927, + -1, + -1, + 807469997, + 855386379, + 502401567, + 272738915, + -1, + 145528994, + -1, + 356329107, + 578468828, + 488429805, + 590172171, + 212274894, + 954701035, + -1, + 677384282, + -1, + 777705145, + 439724614, + 698348716, + 90148113, + 996476301, + 427082068, + 993035790, + 831059008, + 494088389, + -1, + 65822571, + -1, + 555243622, + 624794276, + 145367027, + 407678607, + 241150919, + 144077981, + -1, + -1, + 425572278, + 19453882, + 516598294, + -1, + -1, + 135049071, + 213300175, + -1, + -1, + -1, + 236115112, + 448215200, + 146772511, + 548676442, + 874990143, + 922537574, + 710610586, + 752568386, + 294105757, + 486948220, + -1, + -1, + -1, + 162753545, + -1, + 814067541, + -1, + 906408675, + 503664565, + 293241580, + 745856381, + 592427081, + 695496469, + -1, + 747536653, + 606426435, + 219618278, + 538120529, + 500247161, + 359735889, + 447687376, + 374764402, + 22166069, + -1, + 853456509, + -1, + 156142896, + 203198929, + -1, + 509417462, + -1, + 805288276, + 197980650, + -1, + 338533347, + 737696620, + 586700020, + 477145088, + 386783382, + 359533397, + 595854225, + -1, + 469761690, + -1, + 767135182, + 566953600, + 396970178, + 249339594, + 206627418, + 752026635, + 772640458, + 640568424, + 192087992, + 622056274, + -1, + 345991036, + 153591322, + 490619014, + 928079091, + 59011106, + 634018558, + 280765844, + -1, + 901441915, + 536362780, + -1, + 739041843, + 121330606, + 722390064, + 526916341, + 908408472, + 221438150, + 656190421, + 97049442, + 447801914, + -1, + 386615808, + -1, + 188589708, + 910893391, + 420174889, + 551345101, + 681582343, + 590312754, + 622338113, + -1, + 24086487, + 142243607, + 396610536, + 996147627, + -1, + 147375673, + -1, + -1, + 788746073, + 347539086, + -1, + 634718825, + 290398516, + 975036328, + -1, + 668009035, + 596669879, + 743621199, + -1, + -1, + 751651387, + -1, + -1, + 800727211, + -1, + -1, + 506904773, + 38091053, + 930626038, + -1, + -1, + 695207219, + 980710999, + -1, + 452321797, + 468012737, + 739289879, + 976210829, + -1, + -1, + 590500505, + 217329419, + 666321826, + -1, + 906193475, + -1, + 711929758, + -1, + 758364670, + -1, + -1, + 495925000, + -1, + 235933473, + -1, + 701074031, + -1, + 106054354, + 740518287, + 170214739, + 356767031, + 610456665, + 534006980, + 295871239, + 101624201, + 787892635, + 259058513, + 679314379, + 626192959, + 679031374, + 467668239, + 38156135, + 824526702, + -1, + 187549098, + 539111161, + 44401795, + -1, + 223746552, + 412848370, + 352931602, + 472776957, + 308289208, + 163540486, + 899840012, + 180571946, + 29210100, + 229516423, + 474842520, + 874053793, + 108165642, + 612806137, + -1, + 823887223, + 116393736, + 71012871, + -1, + -1, + 155648340, + 490113937, + 946467854, + 133894209, + -1, + 166521980, + 831676921, + 198513275, + 77641355, + 973089362, + -1, + 270900680, + 307563339, + 180712858, + 618190680, + 415405378, + -1, + 738218517, + 809992093, + 296627886, + 980681997, + 146217823, + 497743852, + 465366668, + 118242823, + 478579237, + -1, + 761883038, + 190981367, + 248151044, + -1, + 908764649, + 560517777, + -1, + 816911990, + -1, + -1, + 398241920, + 611390715, + 656090883, + 490965143, + 510001296, + -1, + 153306533, + 248101125, + 287451236, + 732156995, + 351042519, + 997530575, + 925591167, + 326541318, + -1, + 164571669, + -1, + 265761252, + 840445185, + -1, + 966160106, + 372595059, + 876183818, + 625291539, + 986531057, + -1, + -1, + 807751868, + 91514285, + 693661017, + 109823599, + -1, + 65531684, + 803265417, + -1, + 450310906, + 817222222, + -1, + -1, + 693098197, + 48321389, + -1, + 120090125, + 964055055, + -1, + -1, + 776527064, + -1, + 620390759, + 5683759, + -1, + 782924104, + 505229266, + 210868461, + 581388103, + 773655585, + -1, + 226816456, + -1, + 994520706, + 166225987, + 441306478, + 373221027, + -1, + -1, + 620337469, + 141805262, + -1, + 577126473, + -1, + -1, + -1, + -1, + 161885159, + -1, + 413607961, + 327693750, + -1, + 400740257, + -1, + 475293284, + 478337836, + 930206477, + 167037064, + -1, + 652485440, + 496476076, + 873834875, + 623044471, + -1, + 237746461, + 798022025, + 699238372, + -1, + 760764909, + 441157689, + 945620494, + -1, + 97100501, + 871971356, + -1, + 417901789, + 533801821, + -1, + -1, + -1, + 251975025, + -1, + -1, + -1, + 691381165, + -1, + -1, + 101115929, + -1, + 103719239, + -1, + 777553920, + 881776593, + 704343609, + 607874360, + 386612050, + 656046933, + 914137613, + 952358161, + 466382307, + 436356850, + 4455551, + 681885410, + 157929684, + 208990940, + 539199441, + 185969529, + 952313568, + 492979226, + 704491822, + 449430409, + 844034800, + -1, + 394439547, + -1, + -1, + 722883762, + 770373117, + 185287229, + -1, + 568029465, + 722054758, + 292032876, + 447300376, + -1, + -1, + -1, + 170108047, + 292255561, + -1, + 649597928, + 787865103, + 74181817, + 250145478, + 130837085, + 374919676, + -1, + 967952599, + 14398901, + 223211747, + 702589705, + 564148310, + 488704292, + -1, + 884231954, + 633780435, + 179536688, + 299596304, + 188278184, + -1, + 767655815, + 753903811, + 868554730, + 749966344, + -1, + 58941378, + 918054506, + 625303124, + -1, + -1, + -1, + -1, + 292948612, + 603307735, + -1, + 367733350, + 450709587, + -1, + 935722141, + 154649721, + 291491519, + -1, + 339101159, + -1, + 200400615, + 472434024, + 544484562, + 215596403, + 878567591, + 777667951, + -1, + 438169006, + 463752767, + -1, + -1, + 764108357, + 790774765, + 30576915, + -1, + 693770563, + 168742209, + 154208823, + -1, + -1, + 212310676, + -1, + 997615022, + 365982674, + 237871916, + 872802761, + 829887892, + 887213050, + -1, + 410188261, + -1, + 983545864, + -1, + 394180163, + 254409724, + -1, + 767326310, + -1, + -1, + 241659564, + -1, + 212649934, + 185347022, + -1, + 951022792, + 758831228, + 401560597, + 984904395, + -1, + 604750310, + 259085204, + 747222125, + 562940522, + 229042543, + 322888708, + 186687668, + 603570266, + 776314773, + 63833197, + -1, + 632339816, + 190696042, + 292913255, + 974575327, + -1, + 377260599, + 477948810, + 435553055, + 495562391, + 265992381, + 399290268, + 982981124, + 53149664, + 815822795, + 456095531, + -1, + 475890220, + -1, + 832944029, + 327333043, + 861736050, + 459702103, + -1, + -1, + -1, + 190245570, + 63240047, + 46781210, + 898744560, + 646507401, + -1, + 513104900, + -1, + 758578667, + -1, + 58846012, + -1, + 300014288, + 52913186, + -1, + 903117378, + -1, + 952402594, + 437269932, + 256110358, + 153787430, + -1, + -1, + 394715807, + -1, + 899117255, + -1, + 173859726, + 263932999, + -1, + 646495949, + -1, + 545481066, + 30562154, + 985659948, + -1, + 782423273, + 253628549, + -1, + -1, + -1, + 842436859, + 468644339, + 235554897, + 298353950, + 323860760, + 742577806, + -1, + -1, + 820316113, + -1, + 986467206, + 567321849, + 555568697, + 229920476, + 374788994, + 757188699, + -1, + 661181530, + -1, + 397858696, + 182265489, + 517892855, + 485082431, + 752412230, + 488420931, + -1, + 721665644, + 704669081, + 647865279, + 440063096, + -1, + 566461481, + 135542574, + -1, + 532628981, + 636313672, + -1, + -1, + 426649715, + 154270867, + 86865836, + 130494470, + 184238899, + 12540049, + 403850379, + 224982059, + 486916751, + -1, + -1, + 481103834, + 940236906, + 477967719, + 595917427, + 935966367, + 275154248, + 758579839, + 548199489, + 236092100, + 638561410, + -1, + 675078306, + 800968824, + 480916932, + 579038230, + 379900248, + 45166206, + 195369983, + -1, + -1, + 464163727, + 443143545, + 56104932, + 756309853, + 796371128, + 561281667, + 541358461, + 276489860, + 287025628, + 79068860, + 992117507, + -1, + -1, + -1, + 981488710, + 793192954, + 886934931, + 965503341, + 115536410, + 360778672, + 428820365, + -1, + 155317129, + 36002737, + 813831955, + 276100196, + -1, + 672455911, + 714887252, + 809328688, + 987261291, + -1, + 58287306, + -1, + 557330897, + 366087712, + 737882538, + -1, + 739854769, + -1, + 476022400, + 129632622, + 806295096, + 65772130, + 227677326, + -1, + 72104368, + 884481817, + -1, + 660403603, + 13332756, + 169874430, + 628609247, + 819933884, + 351355958, + 976804824, + 1913094, + 607358172, + 812871088, + -1, + 387843811, + 672369687, + 837320734, + 828771776, + -1, + 42951090, + 58933708, + 283757526, + -1, + 762554198, + 122726717, + 479395752, + 526217382, + 862674591, + 754940283, + 130742130, + 961646494, + -1, + 255507369, + 277881028, + 593678935, + -1, + -1, + 486015428, + -1, + -1, + 208914831, + -1, + 325367878, + -1, + 222667776, + -1, + -1, + 153738496, + 548964755, + 681690707, + -1, + 144307238, + -1, + 958167303, + 310531488, + 196044283, + 561056304, + 610133661, + 755887946, + -1, + -1, + 774856178, + -1, + 774607201, + 581819181, + 367061918, + 348692575, + 837831218, + -1, + 33773070, + 323721396, + -1, + 684149058, + -1, + 853181871, + 428898768, + 947702057, + -1, + 624558003, + -1, + 1535644, + 238025782, + -1, + 265771584, + 862835582, + -1, + 634580367, + 699185061, + -1, + 419662429, + 73825465, + 84062617, + 278604322, + 376846576, + -1, + 218161421, + 607676390, + -1, + 334774873, + 6339033, + -1, + 665113974, + 809044833, + -1, + -1, + 49308752, + 122929259, + -1, + 612471022, + 883634156, + 954414557, + 289633480, + -1, + -1, + 936569915, + 709945779, + 93923692, + -1, + 468816954, + -1, + 75356083, + 783018269, + 685682932, + 703007545, + 363691427, + 777958501, + 525812043, + -1, + -1, + 715338623, + 148713968, + -1, + 144185800, + 63449106, + 520137892, + 919027597, + -1, + 775441161, + -1, + 221565985, + 783355232, + 913521170, + 694095141, + 618200987, + 773975890, + 894071055, + 132956675, + 287939580, + -1, + 865857416, + 263511446, + -1, + -1, + -1, + 534121102, + 697836166, + 912836495, + 305674383, + -1, + 528041729, + 681120394, + -1, + 28634415, + -1, + -1, + 430391102, + 479628112, + -1, + -1, + -1, + 572124339, + 773081413, + 722564536, + -1, + 914987376, + -1, + 80997081, + 160137489, + 514969977, + 550198177, + 646143367, + 878914079, + 994554335, + 655838055, + 681629032, + -1, + 668529541, + 220516789, + 733172429, + -1, + -1, + -1, + -1, + 682332516, + 791110173, + 879841827, + -1, + -1, + 10691657, + -1, + -1, + 710636803, + 472461526, + 599614164, + 532829665, + 8311166, + 531521974, + -1, + 844073214, + 59796993, + 888837042, + 808633834, + -1, + 559593995, + 430722680, + 803606285, + 856953044, + 672249644, + 44687768, + 35095659, + -1, + 216069349, + 670962623, + 470018854, + 158805542, + 104163860, + 238869948, + -1, + 568417394, + 527164242, + 546991992, + -1, + 513622069, + -1, + 444021218, + 48505218, + 793239844, + 291726548, + 338080338, + 57985811, + -1, + 746610633, + 266961402, + 199119291, + 724946227, + -1, + 522197873, + 74469051, + -1, + -1, + 674465290, + 589509197, + -1, + 858970737, + 711951465, + 496604744, + 181289750, + -1, + 874920014, + 486089322, + 792703343, + -1, + -1, + 294893078, + 577980774, + 560062218, + 513133258, + -1, + -1, + 379684850, + -1, + 910171153, + -1, + 737370892, + -1, + -1, + -1, + -1, + -1, + 470643038, + 84506774, + 13011219, + -1, + -1, + 600142171, + 147036684, + 12753352, + 391383991, + 44048541, + 795129444, + -1, + -1, + -1, + 599064629, + 339580694, + 505375115, + -1, + 68731601, + 365956130, + 485863210, + 303774944, + 591897153, + 718546461, + 68330986, + 105981635, + -1, + 183971865, + 235551103, + 886891586, + 88295079, + -1, + -1, + -1, + 707541106, + 640871203, + 948241710, + -1, + -1, + 340413943, + -1, + -1, + -1, + 674029863, + 952416284, + -1, + 837653307, + 286522358, + 972261745, + 703305498, + -1, + -1, + 160691810, + 246290273, + -1, + 857155725, + 941337195, + 691366296, + 669421782, + 247453143, + -1, + 313422793, + -1, + 375889103, + -1, + 2798973, + 906654723, + -1, + 168368590, + 326498909, + 941099286, + 276034475, + 243570883, + 870996442, + 559903824, + -1, + 373179651, + 243680176, + 496539541, + -1, + 210665937, + 376728879, + 498216782, + -1, + 319604562, + -1, + 997838067, + 830346509, + 44315940, + 649075121, + 703374220, + 549969973, + 919085720, + 204446840, + 211705133, + 792341855, + -1, + 154063621, + -1, + 874111707, + 28039144, + 246472064, + 717609822, + 611048892, + 194094061, + 173438407, + 809461632, + 489371841, + 387541540, + -1, + -1, + 799992132, + 260582095, + 953922091, + 994916245, + 424645892, + 727502364, + 527449358, + -1, + 874233453, + -1, + 682271167, + 85605127, + 190993404, + -1, + 172353022, + -1, + 770337060, + 471459864, + 38069803, + 589613169, + 714084069, + 34740298, + 910755113, + 815646416, + 91839249, + -1, + -1, + -1, + 449405880, + -1, + -1, + 308180086, + -1, + 450067264, + -1, + -1, + 420792201, + 84302209, + -1, + 539239274, + -1, + -1, + 553945402, + -1, + 485464766, + 663203999, + 137609313, + 776026306, + 855171537, + -1, + 563643869, + 531025319, + -1, + 338105980, + 205179891, + 838099516, + 394864636, + 834083460, + 155982755, + -1, + 587470289, + -1, + 514519126, + -1, + 852490651, + 97624728, + 843779720, + -1, + 713115680, + 570305367, + 858028543, + -1, + -1, + -1, + -1, + 424224951, + 496584527, + 253123460, + -1, + -1, + 563575609, + 86601518, + -1, + 461156924, + 967191899, + 472081117, + 568705699, + 924601014, + 245753825, + 935908852, + -1, + 436663871, + 735990371, + 501051817, + -1, + -1, + 86454011, + 422091212, + 309255967, + 100031935, + -1, + 62677839, + 804518866, + 37959984, + 213432755, + 617843507, + 431687482, + -1, + 644036257, + -1, + 851629957, + 899166620, + 72736091, + -1, + 421837262, + 868178236, + 199462642, + 573779845, + 872581812, + 528380459, + -1, + -1, + 462647153, + -1, + -1, + -1, + 623771879, + -1, + -1, + -1, + 229599034, + -1, + 968899305, + 76951064, + -1, + 779204872, + -1, + -1, + 749939997, + 290886260, + -1, + 175642543, + -1, + -1, + 589682297, + 190893074, + 823542323, + 340828576, + 412760666, + 499233315, + 660123032, + -1, + -1, + 946746923, + 130074718, + 270288224, + -1, + 602145683, + 295362261, + -1, + -1, + -1, + -1, + 412543489, + 974261101, + -1, + 166766299, + 458011427, + 376667040, + 583302955, + 706955043, + -1, + 629558119, + 810002863, + -1, + -1, + 324600596, + -1, + 347372014, + -1, + 997997281, + -1, + 317974467, + 26163449, + -1, + 848684479, + -1, + -1, + -1, + 796861837, + -1, + 304691534, + -1, + 490390538, + -1, + 731663090, + -1, + -1, + 799273413, + 591425968, + 800554730, + 985722353, + 961424364, + -1, + 882168187, + 106504994, + -1, + -1, + -1, + 440385665, + 268307185, + 598990831, + -1, + 560895759, + -1, + 663647023, + -1, + -1, + 311642351, + -1, + 316629714, + -1, + 814240041, + -1, + 29638574, + 820311352, + 639665918, + 26404480, + 923119953, + -1, + 293366200, + 780020054, + 264611792, + -1, + 712100138, + 535461708, + 200019553, + 810617933, + 567535943, + -1, + -1, + 319800892, + 685853248, + -1, + 500776720, + -1, + 783654425, + -1, + 126966665, + 236775409, + 884769009, + -1, + 342779528, + -1, + -1, + -1, + -1, + 463009791, + 991674934, + 217809154, + -1, + 615628135, + 16583979, + 475248411, + -1, + -1, + 559690361, + 757545396, + -1, + 231100053, + 144741463, + -1, + 494285560, + -1, + 979359612, + -1, + 998867973, + 674311201, + -1, + -1, + -1, + 662503728, + 155468931, + 354715025, + -1, + -1, + 872597998, + 826463529, + -1, + 871431255, + -1, + 144227085, + -1, + -1, + 879069248, + 999247175, + -1, + -1, + 122372697, + 449278826, + -1, + 585620999, + 297120258, + 741033382, + 143298049, + 939087371, + 596548658, + 821629872, + 768919482, + 826778122, + 737718425, + -1, + 78823113, + 505935583, + 510027492, + -1, + 243254737, + 468310332, + 693379341, + 347972871, + 456335505, + 810919262, + 673038661, + 278931274, + -1, + 781960776, + 250708932, + 967708672, + -1, + 229941038, + 275744101, + 896451336, + -1, + 798105140, + 940035531, + 550349909, + -1, + 719414191, + -1, + 318557072, + -1, + 102367652, + 458398004, + 206511021, + -1, + -1, + -1, + 774226372, + 748466739, + 368223013, + -1, + 148305144, + -1, + 363370009, + 559282901, + 841951585, + -1, + -1, + 829615104, + 622682760, + 175980703, + -1, + 682235666, + -1, + -1, + -1, + 980284746, + 394297102, + -1, + 395337618, + 57620151, + 304731218, + -1, + 227478439, + 866889006, + -1, + 862862837, + 805617539, + 263035328, + -1, + -1, + 885076152, + 346003755, + -1, + 514952567, + 277484262, + 601997756, + 457892342, + 973504415, + 467146562, + 686515082, + -1, + -1, + 156546632, + 807381381, + 759382368, + 195704441, + -1, + 440467894, + -1, + 608073404, + -1, + 304894437, + 108510272, + -1, + 358726030, + 833076463, + -1, + 882987203, + 765077534, + 354776889, + 620262879, + -1, + 875603990, + -1, + 550513657, + -1, + 830259667, + 612846332, + 841734949, + 811825437, + 813904687, + 770286040, + -1, + -1, + -1, + 530814535, + 418233939, + -1, + 691945210, + 363238562, + 455609549, + 177020348, + 45333924, + 600813183, + -1, + -1, + 348684158, + 536347455, + -1, + 770735485, + 986542709, + -1, + -1, + 816811462, + 875814800, + -1, + -1, + -1, + 172985519, + 399735865, + 568965186, + 861739447, + 486387278, + -1, + 685450731, + -1, + -1, + -1, + 808173542, + -1, + 102345444, + -1, + -1, + 804849257, + -1, + 7892673, + -1, + 961496367, + 140449522, + 868607664, + 607123391, + -1, + 16379988, + -1, + 130719012, + 215545640, + 572200945, + 116747582, + 231381240, + -1, + 124513993, + 585242428, + 397440512, + 865414538, + 594356386, + 416106797, + 377275273, + -1, + 888313382, + 363587578, + 641161717, + 933161889, + -1, + 27087175, + 459897195, + 823416003, + -1, + 471662296, + 575159459, + 779159563, + -1, + -1, + 827271867, + -1, + 371639999, + 873424421, + 643087381, + 302454377, + 760634570, + 16492743, + 402953608, + 891493081, + 356026416, + -1, + 453141365, + 476630475, + -1, + -1, + 622492018, + -1, + -1, + 455849829, + 653237126, + 509549928, + 32641303, + -1, + 657444594, + -1, + -1, + -1, + -1, + 283494171, + -1, + 78795838, + -1, + 416179669, + 627233733, + -1, + 346369469, + -1, + 733760931, + -1, + -1, + 712182462, + -1, + 422714352, + -1, + 689432109, + 852612184, + 342035665, + 860393890, + 407712470, + 90842698, + 345861482, + 184276619, + -1, + 515520378, + 71600085, + 354617489, + -1, + 512739665, + 36777188, + -1, + 571504246, + 780403424, + 503321039, + 637592873, + -1, + 256017937, + -1, + -1, + 630316474, + 624383535, + 104750150, + 856171428, + -1, + 471969554, + 70052771, + 58154114, + 656988587, + -1, + -1, + 532798128, + -1, + 963209528, + 982683958, + 678595365, + 858023627, + 736134861, + -1, + -1, + 370969660, + 695659340, + 224906985, + -1, + 469533264, + 269782307, + -1, + 450130515, + 912008329, + 693704790, + 112689952, + 327824577, + 840784462, + 821847911, + 207139550, + 514049152, + -1, + -1, + 83323157, + 319356903, + -1, + 385277583, + 147646207, + -1, + -1, + 271077596, + -1, + 402982566, + 183009350, + 704703302, + 591293457, + 182998797, + 886344174, + 678066083, + 532316723, + -1, + 393474800, + -1, + -1, + 470961623, + 521435654, + 378791816, + 366953615, + 138762002, + 930122332, + 456063106, + -1, + 21269422, + -1, + 221028919, + 648426638, + -1, + 220807425, + 605379871, + 290191115, + 213084132, + 476476551, + 735510835, + 11874466, + 506518944, + -1, + 823024738, + 430500143, + 989110570, + 30853619, + 315148986, + 957978629, + 796125571, + 993577893, + 954509855, + -1, + -1, + 230432777, + 57464564, + 756320896, + 928609622, + 565715661, + 557690485, + 525866584, + 638340634, + 712018848, + 245505621, + -1, + -1, + 974380354, + -1, + -1, + -1, + -1, + -1, + 139484848, + 782423523, + -1, + 258316652, + -1, + -1, + 494292640, + 699515773, + 25895262, + 405884222, + 197760236, + 651843766, + 11027687, + 230379003, + -1, + 476942170, + 619531406, + 416615271, + 829584853, + -1, + 981002264, + 853356222, + 963615564, + 198077674, + -1, + 540886468, + -1, + 205306919, + -1, + 173862850, + -1, + 446236125, + 130635859, + -1, + 268924729, + 912326328, + 92269506, + 228211609, + 858545119, + -1, + 485126931, + -1, + 33215829, + 141146267, + 541453306, + 472990926, + 337290126, + 136110244, + -1, + 147195019, + 478977032, + -1, + -1, + 66591675, + -1, + -1, + 800535464, + 386195826, + 499528969, + 817754406, + 865319674, + 518562113, + -1, + 319338510, + 723803265, + 724461891, + -1, + 859936270, + 466683441, + 418468014, + -1, + 507310860, + 797998933, + -1, + 164698938, + -1, + -1, + 284109648, + 681175074, + -1, + -1, + -1, + 9945837, + 125246499, + 732124581, + -1, + 692895746, + 531944869, + -1, + 708108478, + 986881816, + 688102184, + 896922431, + 662460047, + 132650182, + 106167079, + 990731947, + 22530656, + 984751337, + 917512011, + 106559534, + 313520738, + 262046239, + 792544332, + -1, + 77891669, + 163265248, + 833864306, + -1, + -1, + 608967529, + 255452910, + -1, + -1, + 340338102, + -1, + 804037320, + -1, + -1, + 635595778, + -1, + 258482705, + 689316922, + 270250005, + -1, + 532414091, + 424287260, + -1, + 860267578, + 524809078, + 84825464, + 212047018, + 145905063, + -1, + 168313843, + 79887248, + 912826467, + 473899771, + 969768972, + -1, + 60660424, + -1, + 107712512, + -1, + 374762474, + 691065536, + -1, + 717914344, + 250414178, + 25596731, + 961841703, + -1, + 907084354, + 168723952, + 464536067, + 641042184, + 36774743, + 792385168, + -1, + -1, + 604406033, + 364925792, + 836555254, + 462310390, + 785964114, + 829184643, + 202819501, + 185998539, + 511927124, + 231429764, + 950435580, + 626495810, + -1, + -1, + 51075519, + 335731441, + -1, + 486108298, + -1, + -1, + 532096448, + 11255946, + -1, + 872571419, + 736375251, + 664901495, + 664427049, + 968790483, + 398000061, + 248807095, + 882464086, + 12997624, + -1, + -1, + 923745621, + 222048195, + 48230232, + 944288168, + 135780255, + 653396839, + -1, + -1, + -1, + 580508631, + 957567597, + -1, + 132551383, + -1, + 51690194, + -1, + 625767252, + 496605783, + 511078199, + -1, + 446675656, + 27201212, + 776616970, + 81534487, + -1, + 22382713, + -1, + -1, + 386678651, + 95232247, + 152648521, + 132430381, + -1, + -1, + 620983528, + 825191801, + -1, + 318625927, + 732629407, + 242754867, + 805080527, + 682661576, + 438540542, + -1, + 366309439, + 39040640, + 184054551, + -1, + 587233327, + -1, + 177042232, + 618405636, + -1, + 953983151, + 865030738, + -1, + 528283830, + 260935557, + 864966431, + -1, + 532488881, + -1, + 399762083, + 481746873, + 152956384, + -1, + 224950699, + 552442246, + -1, + 569010605, + 564367048, + 607880376, + 605969658, + 943382288, + 679672816, + 262024968, + 576416464, + 804316823, + 996185630, + 431505364, + 515088154, + 572107120, + -1, + 75643024, + 946427736, + 446365718, + 212063734, + 881882282, + 477818830, + -1, + -1, + -1, + 760526450, + 677845659, + 139400395, + 585483967, + 147231010, + 252896605, + 612364688, + 574653000, + 136910141, + 195382496, + 852679095, + 495358033, + 230074407, + 572859188, + 830634781, + 666795725, + 735748690, + 615317418, + 382911987, + 820546474, + 85859870, + 294297153, + -1, + 102865598, + -1, + 673211214, + -1, + 935937853, + -1, + 567165958, + 995801842, + 170253938, + 477754105, + 450264607, + -1, + 681709337, + 18810121, + 733137826, + 119350860, + 982925166, + 961108283, + -1, + 593228335, + -1, + 843391683, + -1, + 330469622, + 360676246, + 409059513, + 319599441, + 302444752, + 508180909, + 202329183, + -1, + -1, + 878967424, + 177842569, + 533444450, + -1, + -1, + -1, + 631084845, + 28265819, + -1, + -1, + 960448465, + -1, + 348313616, + 772008783, + 681500286, + 464401350, + 460141641, + 745018016, + 891470163, + -1, + 361252866, + 535508930, + -1, + 183214025, + 89634265, + -1, + 273161679, + -1, + -1, + 588831490, + 833364669, + 926240177, + 250099331, + 782730980, + 67003401, + 35433522, + 518674988, + 149362180, + 502744419, + -1, + 349460640, + 307164298, + 498850145, + -1, + 84323632, + 873159999, + 407427242, + 306717484, + -1, + 516432242, + 868940553, + 724066406, + 427123999, + 732068991, + -1, + -1, + 234417633, + 215881522, + -1, + 584486393, + -1, + 845003578, + -1, + -1, + 520988200, + -1, + 994574790, + 589232286, + 156811458, + 12106346, + 514686849, + 904211819, + -1, + 19750239, + 505215218, + 197633907, + -1, + 859024650, + 113396347, + 520391024, + 590712357, + -1, + 858941782, + -1, + 816562450, + 479373806, + 456098083, + -1, + 791753919, + 135869990, + -1, + -1, + -1, + 256665852, + 485750204, + 662727941, + -1, + 901139861, + 276623533, + -1, + -1, + -1, + 572680617, + 766386150, + 412613027, + 119513160, + 90018412, + -1, + 297887293, + 962305079, + 714614051, + 379424868, + 45363783, + 637616470, + -1, + -1, + 942142225, + 217608820, + -1, + 80876023, + -1, + -1, + 692087891, + 381636984, + -1, + -1, + 322289000, + -1, + 699994467, + 447291740, + 108998193, + 335960654, + 790039499, + 432433308, + -1, + 146439844, + 767712490, + 895569538, + 371888384, + 883469571, + -1, + 879255338, + 113287280, + 183802671, + -1, + -1, + 500825027, + 185915766, + -1, + 5569664, + 96628456, + 82789303, + -1, + 496072850, + 830418804, + 924972507, + -1, + 487489599, + 500161528, + 149185912, + -1, + 879437175, + 539448279, + -1, + -1, + 329397876, + -1, + 551765401, + 699059770, + 291474383, + 867830008, + -1, + -1, + 494420225, + 624156399, + 825206148, + -1, + 674258953, + 919243789, + -1, + 796824803, + 34878465, + 848618926, + 628778209, + 478920596, + 747302668, + 734305675, + -1, + 45977242, + 534768891, + -1, + 341202041, + 223279463, + -1, + 400177628, + -1, + -1, + 851310911, + 966271826, + 320815191, + -1, + 582213522, + -1, + -1, + 591263261, + -1, + 561626991, + 537977536, + 551892147, + 17776923, + 383629979, + 416834650, + -1, + 310158686, + 865465206, + -1, + 213839031, + 418761645, + -1, + -1, + 974892320, + -1, + 921313829, + 655407582, + 213047159, + 710854812, + 644951520, + 324745124, + 588892017, + 897295813, + 293903111, + 404752363, + 536385801, + 491550037, + 627610555, + 431402895, + 302485935, + -1, + -1, + 703543267, + 282260786, + -1, + 846215558, + 481787995, + 32227839, + 42537063, + -1, + -1, + 973105753, + 329476712, + 806863615, + -1, + 519862759, + 418676259, + 511647284, + -1, + 955577133, + 656130427, + -1, + 643064206, + 487286547, + -1, + 738421781, + 534214705, + 335759187, + 939105355, + 584970070, + 966262490, + 938917492, + 854781178, + 466852911, + -1, + 423714509, + -1, + 13395118, + -1, + 879954615, + 248727427, + 708950959, + -1, + 744280838, + -1, + 161062426, + -1, + 987738209, + 16617279, + -1, + 737061349, + 728701206, + -1, + 748173512, + -1, + 990825591, + 250254088, + 860097308, + 876010051, + 376959207, + 863821256, + 757722503, + 835956757, + 292270412, + 466436201, + 381295074, + 146689560, + 359329460, + 21509251, + -1, + -1, + -1, + 351471756, + -1, + 464525787, + 717532381, + 826300942, + 4607837, + 286710184, + -1, + -1, + -1, + 225589271, + 404209103, + 419923582, + 942714108, + 364898980, + 376884828, + 63364362, + 972884352, + 264140897, + -1, + 142634912, + 599041412, + 433581341, + -1, + 801386769, + 940268556, + 677966518, + 593324632, + 902402423, + 914394357, + 66890548, + 344583617, + 179570369, + -1, + 396902596, + 269069156, + 52303112, + 555573495, + -1, + -1, + 745960825, + -1, + -1, + -1, + -1, + 141046416, + 278934546, + 683759993, + -1, + 769299019, + 299977631, + -1, + 128554969, + 472362464, + -1, + 607831091, + 211960164, + -1, + 714256609, + 786868256, + -1, + 690637810, + 78668803, + 457734490, + -1, + 784593657, + -1, + -1, + 112583699, + 637321256, + 83005238, + 992461775, + 574417979, + -1, + 471994985, + 281482888, + 33693138, + 42151912, + 933140150, + 567067342, + 943961386, + -1, + -1, + 699629248, + 968600612, + -1, + 36959847, + 737181698, + -1, + 137943976, + 627644721, + 849202737, + -1, + 430076489, + 891367475, + 876862060, + -1, + 259041794, + 806859526, + 315132458, + 108280334, + -1, + -1, + 625147129, + 860569640, + -1, + -1, + 963921771, + 292428619, + 655943565, + -1, + 759428179, + 275555213, + -1, + -1, + 687030471, + 42622245, + 536488939, + 803558076, + -1, + 20571440, + 146065527, + -1, + 683279771, + 572489437, + 593050639, + 730304793, + 133177692, + 795879376, + 238015410, + 548109956, + -1, + 218773159, + -1, + -1, + 624733672, + -1, + 158489497, + 259103943, + -1, + 2705118, + -1, + -1, + 210095545, + 125624270, + -1, + 430412008, + 968011927, + 977870797, + -1, + 729677381, + 979230505, + 538487453, + -1, + 408006899, + 810804241, + 328734981, + 257667092, + 610945846, + 246203855, + 52514241, + 708482688, + 767924118, + -1, + 327748499, + -1, + 999296543, + -1, + -1, + 333820268, + -1, + -1, + 206716555, + 82883303, + 974283329, + -1, + 699424474, + 245467570, + -1, + 66543467, + 82490589, + 61402538, + -1, + 913551626, + -1, + 599293406, + -1, + 744291877, + 501866401, + 72995178, + 224449605, + 388665168, + -1, + 62741609, + 137145743, + -1, + -1, + 271539727, + -1, + 708419149, + -1, + 556564990, + 911088591, + 952467978, + 822564818, + -1, + 968852365, + -1, + -1, + -1, + 87702254, + 240672140, + 88588550, + 602310024, + 960507989, + 972450569, + 946462702, + 883229182, + 173315927, + 242516281, + 817279191, + 232803060, + 234965824, + 449649255, + 63020217, + -1, + 958256242, + 882096883, + 554140555, + 772530598, + -1, + 306019240, + 233449943, + -1, + 580363075, + -1, + -1, + 488012935, + 733551659, + 379437498, + 417050677, + 1041496, + 816987803, + -1, + 644076640, + 245281664, + 875942918, + 228592410, + -1, + 104582499, + -1, + -1, + 706596722, + 440369106, + 332779876, + -1, + 10220329, + 963933668, + 923471019, + 972986504, + 772192570, + 518356995, + -1, + 621340698, + 514061136, + -1, + -1, + -1, + -1, + -1, + 766246113, + 441265614, + 990067652, + 536316780, + 3928375, + 150846544, + -1, + 466540023, + -1, + -1, + -1, + -1, + 129678885, + -1, + 133551318, + -1, + 412845156, + -1, + 833099803, + -1, + 177767659, + -1, + 106583271, + 599648445, + 735941824, + -1, + -1, + 558853107, + 771745800, + -1, + 63390045, + -1, + 35445530, + 793861705, + -1, + 767926706, + 925416610, + 605528270, + 208447745, + -1, + 915899189, + 131992227, + 834368820, + 667549877, + -1, + 976951536, + 472554078, + -1, + 162675766, + 130643171, + -1, + 691201982, + -1, + 697932510, + 528003324, + -1, + -1, + 83757696, + -1, + -1, + 655546311, + 316750762, + 949060364, + -1, + -1, + 636440847, + 327342810, + 304651169, + 158211376, + 749144015, + 594675718, + 305925294, + 192159027, + 100653227, + 867902280, + -1, + 374783116, + 215915211, + 652394021, + 710421734, + -1, + -1, + -1, + -1, + -1, + 195818084, + -1, + 531858113, + 496199383, + 282401703, + 509571924, + 823377301, + 803501344, + 836173733, + 980037823, + 419532265, + 545957029, + -1, + 111729645, + 850344447, + -1, + 268758416, + -1, + 299726001, + 543957357, + 810115209, + -1, + 322512255, + 488819249, + -1, + 409329896, + -1, + 915113336, + 336991995, + -1, + 705363304, + -1, + -1, + 433168073, + 264139639, + -1, + -1, + 714937316, + 764250677, + 278918113, + -1, + -1, + 22655815, + -1, + 205528776, + 435966763, + 510945785, + 794291839, + -1, + 285989307, + 658897811, + 681470708, + 94105704, + 660260301, + -1, + 884170160, + -1, + 972221420, + -1, + 607129667, + 18177520, + 438086484, + -1, + 703128945, + 255872992, + 920357189, + 857030412, + 294300130, + 653482047, + -1, + -1, + 522813851, + 754657958, + 212888812, + -1, + 79493915, + 786988075, + 391840382, + 564560155, + 757905019, + 969935521, + -1, + 276098882, + 932459521, + 422329223, + -1, + 821716941, + 511173924, + -1, + 651966393, + 47538223, + 671210456, + 516033595, + -1, + 461115716, + 614674530, + 221057143, + -1, + 207782827, + -1, + 674278463, + 925211065, + 345105170, + -1, + 821141900, + 325299624, + -1, + -1, + 806144362, + -1, + -1, + -1, + 658150884, + -1, + -1, + 121658564, + 664006544, + -1, + 553846373, + 368795872, + 139139905, + 139570743, + 858993930, + -1, + -1, + -1, + -1, + 21761937, + -1, + 288818575, + 661772971, + 96677450, + 659159544, + 955832925, + -1, + -1, + 299127508, + -1, + 991122705, + 21000806, + -1, + 956840826, + -1, + 868319665, + 377547152, + -1, + 80192004, + 251551100, + -1, + 94334710, + 252021998, + -1, + 377526121, + 662478123, + -1, + 453674552, + 561266740, + 390305703, + 332215283, + 615108930, + 475600460, + 766066555, + 622006504, + 528821267, + 170955514, + 727322112, + 990093791, + 642083842, + -1, + 97646954, + -1, + -1, + 404200580, + 11910164, + 472563465, + 912249323, + 255973405, + 350407585, + -1, + 181567812, + 848251404, + -1, + -1, + 20415482, + -1, + 692027862, + 697467050, + 579208790, + -1, + -1, + -1, + 543193161, + 672226279, + 331933725, + 506107933, + 634307704, + 157326455, + 657363964, + -1, + 228594176, + 579070482, + 205960109, + 142321684, + -1, + 95287932, + 221789927, + 567720576, + 204402826, + 614666079, + 129312745, + 211921218, + 486500807, + 487719802, + 34224018, + 208956430, + -1, + 881290219, + -1, + 628773636, + -1, + 452710662, + -1, + -1, + 653120636, + -1, + 797791292, + 943079476, + -1, + 212835536, + 122518982, + 893684321, + 854132710, + 539839751, + -1, + 704748056, + 840046276, + -1, + 1613854, + -1, + 229505244, + 752495021, + 185695090, + 666360019, + 299916410, + 222080860, + 758870663, + 779533415, + 393839713, + 687671120, + -1, + -1, + 11158714, + 544219648, + -1, + 309905343, + -1, + 978147831, + -1, + 604670640, + -1, + 469734819, + 260471598, + 311437220, + -1, + 462534246, + -1, + -1, + -1, + -1, + 409085403, + 822370110, + 7999499, + -1, + 970798716, + 61868816, + -1, + -1, + 581080674, + -1, + -1, + -1, + 1270238, + -1, + 443118194, + 878031350, + 136687001, + 715469919, + 792530243, + 568426083, + 974185928, + 704953942, + 853804979, + 760695508, + 486647546, + -1, + 394998749, + 115451705, + 975295862, + 512622747, + 693995850, + 886485188, + -1, + -1, + -1, + -1, + 552339635, + 482456808, + 268389762, + 431833984, + 897229145, + -1, + 660441568, + 228968336, + -1, + 332321795, + 740228347, + 888129275, + 706233944, + -1, + 549281041, + 874251312, + 659454320, + -1, + -1, + -1, + 952910683, + 534209653, + 849335944, + 919173886, + -1, + 125512435, + 539182470, + 748092562, + 206098399, + 883477111, + 621284741, + 482715103, + 153337156, + 733669396, + 191458437, + 606581313, + 663864159, + -1, + 84162283, + 282174087, + -1, + 367495303, + -1, + 702657268, + 436338190, + 485467308, + 992566292, + 857060702, + -1, + 576098096, + 806216397, + 834759645, + -1, + 120272529, + 549344687, + 510585738, + 799353494, + 104772625, + -1, + 922984409, + -1, + -1, + 880242440, + -1, + 160197213, + 825696817, + 449274965, + 104198600, + 402377536, + 761757310, + 322850667, + 581967188, + 304675007, + 356048548, + 391928610, + 953573804, + -1, + 338569183, + 373538891, + 703447254, + 769856515, + 578440408, + 816866454, + 792338238, + -1, + 681110459, + 818762127, + 3285679, + 395562882, + 208037663, + 604642740, + 623014793, + 787715667, + 530192401, + 868442893, + 985611005, + 816338820, + 552338427, + 908704719, + 999117045, + -1, + -1, + -1, + 902368443, + 350825314, + -1, + -1, + -1, + 159691460, + 228979415, + 702225204, + -1, + 949515077, + 131823574, + -1, + -1, + 109179787, + 937648850, + -1, + 965410258, + 357950117, + 712195591, + 683830508, + -1, + 253800873, + 357713700, + 445241494, + 458637139, + 888594454, + -1, + 701579167, + 549177107, + 628758103, + 660904763, + 586297997, + 341694115, + -1, + 671003243, + 41499222, + 537760360, + 84594192, + 789826266, + 688754017, + 953286349, + 566619960, + 369187299, + 5703495, + 880212455, + -1, + -1, + 126779224, + -1, + 738386789, + 432454205, + 563620273, + 749810966, + -1, + 834555026, + 601381884, + -1, + 892902874, + -1, + 1009642, + 811471580, + 69963096, + 413076125, + -1, + 291636315, + 136874731, + 275552402, + 706050933, + 158709535, + 181948118, + 59835173, + 422553044, + 559969209, + 330773652, + -1, + 541361886, + 414196396, + -1, + 477051181, + -1, + 525403203, + 569150516, + -1, + 552659872, + 992540028, + -1, + 648072945, + 270656027, + 706804213, + 301831595, + 958283602, + 382278632, + 75450742, + -1, + 749099555, + 894647832, + 909520358, + 593277164, + -1, + 406057926, + 657938934, + -1, + 799656960, + -1, + 253063163, + 816904799, + 805959158, + 882989810, + 118905835, + 569562742, + 425849826, + 112317007, + 533657180, + 817775010, + 687172024, + 139579226, + 281312243, + 550379478, + 122598984, + 641054509, + 269364976, + -1, + 995167654, + 774249964, + 146504639, + 128200272, + 617958282, + 429351598, + -1, + -1, + 320588212, + 192338204, + 350588635, + 673137306, + -1, + 237368710, + 942292719, + 40200043, + 124655173, + 305686786, + -1, + 781651786, + -1, + 746787783, + -1, + 583523275, + 705953322, + 964088979, + -1, + 737015589, + 530491785, + -1, + 285267786, + -1, + 583063308, + 693065870, + 412496568, + -1, + -1, + -1, + 71856194, + 139068015, + 621044883, + 472627570, + -1, + 606201471, + 479586942, + 313665364, + -1, + 574315728, + 542784489, + 333817706, + 115247093, + -1, + -1, + 339158002, + 875521117, + 959438632, + -1, + -1, + 615329819, + 989387800, + 298722309, + -1, + 726806004, + 866382764, + -1, + 290330120, + 868732864, + 786870573, + 320797847, + 779590852, + -1, + 198632570, + 363401582, + 626054813, + 459302763, + 323818856, + -1, + 447093076, + 964505429, + -1, + -1, + -1, + 422738660, + 266288512, + 108579592, + 927208982, + -1, + 296159111, + -1, + 169530846, + -1, + 323181989, + -1, + 967301760, + 348360460, + 805236993, + 805514187, + 737738112, + 879560856, + -1, + 676731409, + 909792519, + 922531965, + 346255292, + 306617771, + 643924643, + -1, + 377669277, + 890513213, + -1, + 537177512, + 118072596, + 877449657, + 592391028, + -1, + 741506392, + -1, + -1, + -1, + -1, + 99471422, + -1, + 918791384, + 314674317, + 571612119, + 487387581, + -1, + -1, + 573455840, + -1, + 375564090, + 374985802, + 413460520, + -1, + 756983033, + -1, + 193860148, + 179138908, + 962930247, + 883290326, + 560416588, + 305490213, + 238934279, + 736717342, + 829363870, + 82558865, + 874736500, + -1, + -1, + 453375339, + -1, + 90072041, + -1, + 129514570, + 286085345, + -1, + 623203080, + 199238146, + 293836462, + 750092022, + 160130725, + 269247614, + -1, + -1, + 969316020, + -1, + -1, + 477408861, + 602004132, + 674405785, + 800345955, + 206986050, + 917432157, + 528725888, + -1, + -1, + 581587807, + -1, + 960836143, + 991420089, + 80866472, + -1, + 525275036, + 493856413, + 942264623, + 202000383, + -1, + 194662826, + 879873024, + 326998197, + -1, + -1, + -1, + 275207218, + 520952461, + 999745531, + -1, + 352425143, + -1, + -1, + 197384890, + -1, + 877824378, + 3962710, + 23116636, + -1, + 413682201, + 523299088, + -1, + -1, + -1, + -1, + -1, + 448565435, + 121306496, + -1, + 937639422, + 104902575, + 547399409, + -1, + 990673173, + -1, + 308566053, + 209731200, + 551164692, + 584729714, + 465750868, + 201143246, + 713924080, + 996439837, + -1, + 568783090, + 602590379, + -1, + 392246094, + 717249895, + 356551320, + 915878276, + 273773801, + -1, + -1, + 675896030, + -1, + 614037336, + 739688445, + -1, + 277253133, + 918105168, + 721747355, + -1, + 882304419, + 838711108, + 477599713, + 593457825, + 776488045, + 585690376, + 350983796, + 226033221, + 51759068, + -1, + -1, + -1, + 30846041, + 199322559, + -1, + 989399174, + 923073678, + 38858515, + 35989510, + 722009433, + -1, + -1, + -1, + -1, + 661077463, + 408697864, + 108517870, + -1, + 794307802, + 133250701, + 473174409, + -1, + 542262484, + 166122463, + 715741843, + 441778726, + 712609757, + 926896093, + 36106826, + 305246993, + 690546415, + 468017003, + 988159301, + -1, + 934429814, + -1, + 272376736, + 993706010, + -1, + 714454248, + 572034594, + -1, + -1, + 754561418, + 75663140, + 153179970, + 855719920, + 996401193, + 456885167, + 813776544, + 804978799, + 303903023, + 723950578, + -1, + 300367429, + 782113710, + 266776653, + 752093988, + -1, + 135343833, + 751660800, + 678646579, + -1, + 628181210, + 582134530, + 466943728, + 271660868, + 936678064, + -1, + -1, + 534592011, + 741879176, + 708496001, + -1, + 246389670, + 508366009, + 208081890, + -1, + 637200315, + 570991283, + -1, + -1, + -1, + -1, + 608466503, + 443354451, + -1, + -1, + -1, + 652454879, + 213081041, + 940072210, + -1, + 127384838, + 98864493, + 93593489, + 55840242, + -1, + 69728511, + 145849202, + 195181771, + 151821205, + 165926959, + 560424474, + 676838826, + 228398557, + 923785021, + 642006746, + -1, + -1, + 322842249, + 123339805, + 206007661, + -1, + 877224081, + 543458396, + -1, + 211643623, + 609827433, + 42947777, + 589048972, + 364637826, + 119673377, + 51788834, + -1, + 366695044, + 346121992, + 617146501, + 16611604, + 596621663, + -1, + 509727044, + 854738131, + 137101310, + 862654648, + 686114169, + 917290634, + 794804358, + 986223223, + 799828624, + -1, + 668415638, + -1, + 587402950, + 95065566, + 582190354, + 845110588, + -1, + 724607986, + -1, + 123962848, + 858716585, + 413951970, + 972555349, + 958580481, + 599580027, + -1, + -1, + 721227606, + 856786853, + 401286775, + 724943817, + 894388441, + 216498608, + -1, + 652846491, + -1, + 501133984, + 720989369, + 981461415, + 475037993, + 680212099, + -1, + 747818394, + 16410401, + 237764121, + 170100639, + 64682285, + 506931925, + -1, + 628414845, + -1, + -1, + 798331664, + -1, + 575527815, + -1, + 58196113, + 528140661, + 25550359, + 588176180, + -1, + 115908426, + 446174880, + 545250807, + -1, + 685837765, + 742564748, + 320124615, + 706608938, + 731744635, + -1, + -1, + 111353511, + 951062758, + 817426242, + 989886218, + -1, + 151314787, + 89249168, + 927721986, + 278326013, + 741221293, + 833731111, + 136178347, + 568192435, + 31502141, + 1632494, + -1, + -1, + 748942180, + 778610462, + 959231434, + 288060480, + 486342305, + 300667083, + -1, + -1, + -1, + -1, + -1, + -1, + 7801654, + 179245638, + -1, + 447361828, + 476094004, + 949805982, + 904922597, + 960960890, + 439505121, + 453714654, + -1, + 240657941, + -1, + 263912547, + 607621981, + -1, + 138798051, + 127931522, + 718538386, + 51437882, + -1, + 355719794, + 118356287, + 480157081, + 110606285, + 162728244, + 928201416, + -1, + 500785466, + -1, + 894656375, + -1, + 255551945, + 148186901, + 203998650, + -1, + -1, + 257998972, + -1, + 999519311, + -1, + 263563110, + 910070108, + -1, + 53270077, + 201522494, + 752881232, + 470735976, + 79743275, + 454236775, + 591921682, + 224199829, + 707820136, + 53572776, + -1, + 385818810, + 189121311, + 78631880, + 448596807, + 586009122, + -1, + -1, + 551226584, + 687298924, + 110423210, + -1, + 112016112, + -1, + 537482300, + 593567173, + -1, + 195589506, + -1, + -1, + 861040038, + 331816886, + 122391287, + 657281662, + -1, + -1, + 700678909, + 565874968, + 78699557, + 342566272, + -1, + 641190865, + 575684448, + -1, + 985402103, + 308394556, + 635785222, + 647871750, + 719396324, + -1, + 399314444, + 985015156, + 161102268, + 388798461, + 789615956, + 953719500, + 96985014, + 469839124, + 267787354, + 800476055, + -1, + -1, + 691472947, + 862175694, + 156579457, + 879389805, + 320391857, + 74423873, + 593603654, + -1, + 609905031, + 781976990, + 316112556, + 809889629, + 805214348, + 561907176, + 944966548, + 229511040, + 467959172, + 797141571, + 782006012, + -1, + 877525700, + -1, + 13855434, + 542858878, + 966482079, + 387988141, + -1, + 964637716, + 414193758, + 905378979, + 511488602, + 285168305, + 971945880, + 324930222, + -1, + -1, + 596383227, + 432272740, + 615508030, + 237927199, + 988016389, + -1, + -1, + 370977642, + -1, + 623893734, + -1, + 260951494, + 30010199, + 167715218, + -1, + 439546111, + 226249875, + 995975817, + 810814181, + 970727318, + 822165032, + -1, + -1, + -1, + 781591636, + -1, + 545290217, + 173444019, + -1, + 618132503, + -1, + -1, + -1, + -1, + -1, + 185197836, + 600899588, + -1, + -1, + 619472706, + 883560382, + 628449827, + 385393275, + 489840177, + -1, + 549760741, + 298173193, + 226908661, + 872944383, + -1, + 412221372, + 296738881, + 54502604, + 388773570, + -1, + 933633117, + 304110323, + 714312565, + 54653293, + 197601598, + 391279984, + 551389692, + 913533881, + 802716605, + -1, + 621178836, + 184671013, + 198536661, + -1, + 803461030, + -1, + 549728269, + 942417424, + 235337680, + 452515351, + 830322102, + 474543927, + 360075678, + 257425098, + -1, + 576499265, + -1, + 875936835, + 646408571, + -1, + -1, + 436912987, + 526321606, + 556460252, + 269111259, + 408643359, + -1, + 590433039, + 648569912, + 709642901, + 315424617, + 742057917, + 615115106, + -1, + 959250872, + -1, + 248884615, + 79631893, + -1, + -1, + 827989983, + 807346285, + -1, + -1, + 713848539, + -1, + 401147118, + -1, + 707199095, + 438461388, + -1, + 87954382, + -1, + 269927551, + 263470512, + -1, + 599342486, + 902085490, + -1, + 546723544, + 103496532, + -1, + 519352318, + -1, + -1, + -1, + -1, + 236186091, + 195137751, + 83198493, + -1, + 560874304, + -1, + 600739742, + 779065274, + 139402582, + 386125533, + -1, + -1, + -1, + 242126373, + -1, + 750964555, + 396911520, + -1, + 974027100, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 393549591, + 502307124, + -1, + -1, + 966819566, + 24555698, + 888933401, + 607193568, + 670382397, + -1, + 529611380, + -1, + 408423407, + -1, + 342706700, + 685391737, + 441840086, + 620333283, + 758930220, + 751934013, + 803683648, + 571186076, + -1, + 415443299, + 219049227, + 975178702, + 371045603, + 335823377, + 142110723, + 339043655, + 654234342, + 362370344, + -1, + 771940289, + 608602431, + 950162795, + 221513876, + 505663372, + 288828749, + -1, + 988889924, + -1, + 762173819, + -1, + 507565583, + 707347640, + 929948094, + -1, + 949360038, + 935471876, + 958962444, + 249349927, + 436865441, + -1, + -1, + 167523786, + 935425558, + 917819592, + 725887359, + 797362381, + 419133641, + 417979222, + 191848666, + 627994229, + 669737718, + 145354547, + 730245319, + -1, + 513743494, + 611047719, + 463276171, + -1, + 577381924, + 322908747, + 106751432, + 998635189, + -1, + 129606500, + 517529144, + 925717401, + 798356096, + 363360237, + 273950633, + -1, + 823144594, + -1, + 973990360, + 406387013, + -1, + 566355857, + 897788725, + 453881915, + -1, + 484690671, + 199677012, + 654491206, + 584419750, + 260144351, + -1, + 336172911, + 431110945, + 7345299, + 166865817, + 216039772, + 236435739, + 501491270, + 456367284, + -1, + 345035493, + 191904627, + 773422791, + 638779039, + -1, + 847957882, + -1, + 204030876, + 976401909, + 788238495, + 510804569, + 606242594, + 781742034, + 983188446, + 725550567, + 743259259, + 251065419, + -1, + 87157646, + -1, + 801151479, + 308944555, + -1, + -1, + 436154268, + 913040130, + 831941343, + -1, + -1, + 27987024, + 491479350, + 184569556, + -1, + 760119787, + -1, + 385887533, + 145511201, + 452062065, + 892507489, + -1, + 778159862, + 971027581, + -1, + 64336905, + 682526642, + 117919328, + -1, + -1, + 94453947, + -1, + 310375340, + -1, + 543358537, + 809758906, + -1, + 92427611, + 698570402, + 729930400, + 792465549, + -1, + 612579293, + 259744959, + -1, + 584097519, + 66856850, + 661178884, + -1, + 134020627, + -1, + 61342320, + 633881511, + 780526334, + 145769573, + 392872444, + -1, + -1, + -1, + 672880149, + 956464856, + -1, + -1, + 896467877, + 132936164, + 914261554, + 249769487, + -1, + 939270999, + 408172751, + 862117078, + 584877917, + 600867130, + 962969148, + 896652395, + -1, + 17291336, + 351657956, + 742705324, + -1, + -1, + 930477887, + 585937837, + 899328871, + 239399338, + -1, + 611926047, + -1, + 459147555, + -1, + -1, + 104442315, + 678959453, + 564622238, + 99376353, + 560207568, + 986358698, + 174449347, + -1, + 330625812, + -1, + 391283919, + -1, + 632283548, + 557139758, + 838975895, + 956605493, + -1, + -1, + 309518940, + -1, + 212518189, + 551298067, + -1, + 744954744, + -1, + 545333949, + -1, + -1, + 931767592, + -1, + 616652553, + 68199292, + 53291714, + -1, + -1, + 252196818, + 808808324, + 787282571, + 581228946, + 424432980, + -1, + 518985543, + -1, + 443849817, + -1, + 686513230, + -1, + 24526722, + -1, + 23184956, + 875515849, + 470896644, + 630378438, + -1, + 367289337, + 232286480, + -1, + -1, + 387957790, + 809220882, + -1, + -1, + 949847506, + 190607521, + 469937398, + -1, + 493265583, + -1, + 8201714, + 99748979, + 384096526, + 669711439, + 450271782, + 570925593, + 969346579, + 249541803, + 823326568, + -1, + 967038310, + -1, + 810223519, + 326034160, + -1, + 210455480, + -1, + 850677354, + 932949901, + 376789545, + -1, + 230056895, + 122441496, + -1, + 340702205, + -1, + 663076579, + 380403591, + 585948453, + 581706049, + 606322768, + -1, + 847770946, + 586067444, + -1, + 457101188, + 413056094, + -1, + 411387422, + -1, + 484272687, + 72550434, + 531000140, + 93078079, + 516684121, + 828220242, + 95820231, + 513106695, + 6464951, + 937704511, + 293202022, + 613865124, + 102951870, + 869751720, + -1, + 908967798, + 917633836, + -1, + 646181268, + -1, + 122232256, + 271709306, + 493530691, + 661745549, + 171807996, + 307419857, + 104549801, + -1, + -1, + -1, + 578094422, + 326175230, + 373355453, + 464823133, + 835051302, + -1, + 512655285, + 938373960, + -1, + 363011074, + 13345796, + 148195694, + 982295626, + 304358623, + 248694630, + 859605030, + 678722770, + -1, + -1, + 884451508, + 79816457, + -1, + 816432457, + 323658665, + -1, + 85391256, + -1, + 203062791, + 548915689, + 371477286, + 919002246, + 376559948, + 409278647, + 352907241, + 461702155, + 894991953, + 990983622, + -1, + -1, + 424611160, + -1, + -1, + 164257825, + 614100891, + 726935596, + -1, + 143288617, + 165400596, + 754712763, + 609367661, + 617075981, + -1, + 227332215, + -1, + 976726449, + -1, + 516613343, + 502247393, + 678377096, + 195650603, + 621089712, + 6884288, + -1, + 535664535, + 816609215, + 964485906, + 398999320, + 378279838, + 585277622, + 120710439, + 443925170, + 881897479, + 839308617, + 620316083, + 334652508, + -1, + 814658202, + 219325930, + 118928204, + 451849580, + 609159026, + 361447664, + 442213783, + 576017335, + -1, + 139312660, + 67516295, + 787341545, + -1, + 137659114, + 870663496, + -1, + -1, + -1, + 452474693, + 856003571, + 925587847, + -1, + 606791729, + 603203325, + 746999061, + -1, + 320456431, + -1, + -1, + -1, + -1, + 742910611, + 96336698, + -1, + 932469018, + 711106749, + 847134724, + 791782926, + 791949433, + 615109693, + 470481277, + -1, + -1, + 545080292, + 128321712, + 911155974, + 683595173, + -1, + -1, + -1, + 426514760, + 190646130, + 258343724, + 898116722, + 408682159, + 23779306, + 820713214, + 49990232, + 872957799, + -1, + 689619697, + 993710905, + 442399388, + 591646589, + 993424900, + 944631025, + -1, + -1, + 248917546, + 167065653, + 594167838, + 306196317, + 172582229, + 301853245, + -1, + 453819443, + 632499914, + 409391255, + 776506191, + 190055848, + 378558716, + -1, + 120809269, + -1, + -1, + -1, + 227791321, + 295621010, + 287281814, + 562558722, + 174685847, + -1, + -1, + 843959386, + 558531389, + 277270402, + -1, + 459318661, + -1, + 470511127, + -1, + -1, + 815920983, + 209360382, + 605168533, + 888354339, + -1, + 239110070, + 890838971, + -1, + -1, + 131602546, + 376906377, + 456563956, + -1, + 898600678, + 354523403, + -1, + 169364067, + -1, + 208164692, + 299589926, + -1, + 650814659, + 207194620, + 118901698, + 104801960, + 172106903, + -1, + -1, + 17062523, + 302712158, + 334487731, + 63311945, + 565957052, + 32139982, + 963448750, + 84917457, + 885526954, + 985812211, + 619084642, + 333252701, + -1, + 104275783, + -1, + -1, + -1, + 672574468, + -1, + 965774642, + 199917543, + -1, + 852918101, + 282837116, + -1, + -1, + 248208768, + 701745698, + -1, + 267175086, + -1, + 101355588, + 548588604, + 91415528, + 420044773, + 685932141, + 532496718, + -1, + 642760342, + 962430275, + 669867386, + -1, + 634087410, + 728149934, + 500820521, + 897936023, + 893300990, + 437571770, + 593573227, + 120942293, + 609567766, + -1, + -1, + -1, + -1, + 211112301, + 87454642, + -1, + 70376118, + 384447763, + 323092367, + -1, + -1, + 766650377, + -1, + -1, + 62147088, + -1, + 87809371, + 154629767, + 333435281, + 772132399, + -1, + 414151612, + -1, + 774331235, + 50909433, + -1, + 720061847, + 566027242, + 271245725, + 131884187, + 876092483, + 445571940, + 455172372, + -1, + 277313808, + 507504427, + -1, + 650893502, + 760093999, + -1, + 238151604, + 473066437, + -1, + 725887588, + -1, + 166496748, + 858634879, + 349573286, + 170950350, + -1, + -1, + -1, + -1, + -1, + 142095549, + 621128526, + 12564647, + 485749427, + -1, + -1, + 862615952, + 592156375, + -1, + 485140835, + 422790239, + 475235582, + 727010391, + 98871027, + 428857092, + 560494274, + -1, + -1, + 613279864, + 76201073, + 582879670, + 146010539, + -1, + 601885784, + 921631950, + 338160610, + 114184214, + -1, + 588139070, + 902252708, + -1, + -1, + 890942199, + 131373202, + 646086171, + 516456892, + -1, + 762955082, + -1, + 339950537, + 353361007, + 66786381, + 653807014, + 193022372, + -1, + 191053645, + -1, + 746240665, + -1, + 905024603, + 471546097, + 154851845, + 295199819, + -1, + 871285846, + -1, + 879451435, + 155006047, + 646724287, + 892889692, + -1, + 288569692, + 246785401, + 398521504, + 65115082, + -1, + 347026835, + 43281007, + 984807666, + 471771636, + -1, + 240827781, + 72106930, + 41199440, + 427420228, + 606701717, + 8603497, + -1, + 226456325, + 441715268, + 357554345, + -1, + 141426273, + 193313684, + 23107481, + 355812402, + 943194245, + 277423415, + 838121083, + 553908678, + 830080413, + 85629946, + 271479834, + 11325829, + 100388119, + 359636014, + -1, + -1, + -1, + 819530710, + 547722796, + 42157066, + 732058343, + 404325824, + 260852586, + -1, + -1, + 897927597, + 449533254, + 905575348, + -1, + 831279869, + 168892452, + 97745446, + -1, + 593156943, + -1, + 623415021, + 211814050, + -1, + -1, + 654777596, + 481758790, + 730974124, + 662702213, + -1, + 310862694, + -1, + 886900384, + -1, + 18227283, + 825267367, + 918408701, + 250143887, + 81682706, + 933342760, + 654629316, + 339948447, + -1, + 278305493, + 292895854, + -1, + 909342048, + 103772753, + -1, + 386301258, + 8775298, + -1, + -1, + 437934721, + 668641071, + -1, + 816998829, + 184926796, + 221531357, + -1, + 284898980, + 534236342, + 851256572, + 372475205, + -1, + 738054516, + 178438764, + 681123007, + 346944447, + -1, + 68932155, + 609981105, + 606515293, + 616359578, + -1, + 666351496, + 16909533, + -1, + 171415128, + 706324669, + -1, + -1, + 796152504, + 955446024, + -1, + 994593700, + -1, + 778961304, + 729826266, + 223310394, + -1, + 738289114, + 494359446, + 146448764, + -1, + 446735151, + 232549839, + 798562406, + 222910121, + 523433259, + 815750618, + 935098087, + 8686536, + 365559941, + 44990071, + 592573838, + -1, + 786863589, + 252438814, + -1, + -1, + 924593130, + 23802486, + -1, + -1, + -1, + 442080207, + 699442562, + 874797152, + 977110248, + 135940635, + 17011122, + -1, + 662728086, + -1, + 778346660, + 326592035, + 459826824, + 527073775, + 406967719, + 47990735, + 402092513, + -1, + 62290633, + 128265557, + -1, + -1, + 753791297, + 988499508, + 44510918, + 733450210, + 573350631, + -1, + 314271534, + 645818912, + 724004558, + -1, + -1, + -1, + 744729872, + 158469759, + 5765081, + 573408894, + -1, + -1, + -1, + 192909566, + 593535323, + -1, + 950266968, + -1, + -1, + 745786546, + 985109073, + -1, + 7786532, + 945958713, + 556664510, + 630649784, + -1, + 358049760, + 455455513, + 155066946, + 325451741, + -1, + 761472089, + 749641919, + -1, + 857130777, + -1, + 142229210, + 568982166, + -1, + 883640620, + 178397185, + -1, + 142419442, + 601379401, + 934520272, + -1, + 928523912, + 669402208, + 662365484, + -1, + -1, + 75461135, + 16998488, + 350809925, + 392836211, + -1, + -1, + 509621137, + 265631424, + -1, + 469234429, + -1, + -1, + 82851876, + 555026097, + 563350064, + 382193125, + 122799911, + 935607742, + 86739896, + 418121644, + 937257919, + -1, + -1, + -1, + 473611802, + 406994074, + 9060414, + 825629899, + 159628679, + 671788700, + 588404749, + 424588916, + 686519080, + -1, + 270111564, + 511350105, + 592043669, + 861204332, + 831718750, + -1, + 467599157, + -1, + -1, + 50719766, + 918872173, + 414670379, + 595284294, + 482713224, + 99175047, + -1, + -1, + 304347857, + 874968415, + 953553668, + 454196652, + 780861672, + 967190515, + -1, + 318342294, + 257077290, + -1, + 798481143, + 790583584, + 394339625, + 803898962, + 369246454, + 550087254, + -1, + 575134400, + 678654670, + 582106688, + -1, + -1, + 365136235, + 331478783, + 37916654, + -1, + -1, + 441125646, + -1, + 399256410, + 319847604, + 913886819, + 986460998, + 193066196, + -1, + 702171718, + 727447859, + -1, + -1, + 101780814, + 392286290, + 976861231, + 262638044, + -1, + 233887950, + 783982544, + -1, + 923743874, + 723285237, + 792110485, + 395226992, + 372984834, + 314308813, + 781647291, + -1, + 238546222, + 598846717, + 718501231, + 580277205, + 241073896, + 863994878, + -1, + 708577890, + -1, + 546678684, + -1, + 976016205, + 291884534, + 832913094, + 591628411, + 180313161, + 312313999, + 783014195, + 150317416, + -1, + 872094695, + -1, + 330398502, + 63362989, + 938890513, + 396366778, + 271654501, + 757806077, + 63846123, + -1, + 408674698, + 888441456, + 71127898, + 762454941, + 358678761, + 86123677, + 708428060, + 353201814, + 185935360, + -1, + -1, + 544570851, + -1, + 975502109, + 120354932, + -1, + -1, + 842429389, + 443626646, + 722247976, + -1, + 377271364, + 410025110, + 623307516, + 187377214, + 20675250, + 913257540, + 536646569, + 109464704, + 626338237, + 701322471, + -1, + 564206071, + 722480288, + 847703875, + 392691409, + 776912201, + 20110838, + 341392031, + 111424668, + 72510148, + 867875035, + -1, + 393960826, + 552809081, + 729910625, + 625874914, + -1, + 564656087, + 839816958, + 829017153, + -1, + 803534481, + 201099639, + -1, + -1, + 90970491, + -1, + -1, + 498844707, + 198890983, + -1, + 42046514, + 290027186, + 387345843, + 133832417, + 629104604, + 308952140, + 604631495, + 17979299, + 269399311, + 952399998, + 143320279, + 662608583, + 352626154, + 649144785, + 985177566, + 554799353, + 77289546, + 389037647, + -1, + -1, + 735101594, + 261276039, + 102293244, + 928588535, + 49503010, + 420594316, + 715579432, + -1, + 945074875, + 100176360, + 441599275, + 893074643, + 569394067, + 661982843, + 286599420, + 490838546, + 122960181, + 306042896, + 102459972, + 972676528, + 941388427, + 475442068, + -1, + 973874552, + 421899851, + 366902534, + -1, + -1, + 317929092, + 761841876, + 192602965, + -1, + 485294420, + -1, + 648302685, + 614090966, + 874565050, + 183748178, + 211218878, + 784429595, + 342152599, + -1, + -1, + 422590564, + -1, + 857908278, + -1, + 132084620, + -1, + 457879179, + 233797527, + 819328656, + 189695659, + 161267218, + 711369594, + 910169747, + -1, + 233593577, + 105189742, + 138548680, + 151937720, + -1, + 811422041, + 958470396, + 960132880, + 533110159, + 407149058, + 331740417, + 37941733, + -1, + 392464032, + 465319164, + -1, + 155806843, + 383289992, + -1, + 887163056, + 246785671, + 663528794, + 662955467, + -1, + 904899974, + 96907314, + 539361062, + 666715277, + 943774046, + -1, + 207547189, + -1, + 26754884, + -1, + -1, + 719192022, + -1, + 821254818, + 200800787, + -1, + -1, + 333974323, + 286829049, + -1, + 351912159, + 795948223, + -1, + 612957903, + -1, + 63975540, + 297619855, + 747528809, + -1, + 388686031, + 49950706, + -1, + 625992904, + 383142542, + 14807194, + 415216400, + -1, + -1, + 510812953, + 429519294, + 860767633, + -1, + 256699484, + 385030785, + 634344562, + 61678256, + -1, + 790112350, + 839355956, + -1, + 104675634, + 752629319, + 556657185, + -1, + 110329095, + 152553616, + 265492945, + -1, + 261606232, + 207613638, + 552717235, + 885693208, + 343991019, + 439752858, + 375835822, + 259638267, + 434388310, + 984039562, + 702734298, + 358805141, + 350966343, + -1, + -1, + 523457903, + 901607910, + -1, + 316922075, + 641571349, + -1, + 425876414, + 788065383, + 317942160, + -1, + 994807683, + 242417287, + 525288656, + -1, + 415217992, + 440047620, + 448746167, + -1, + 877437704, + 590590360, + 582999058, + 440809559, + 251146514, + 831212065, + 223732278, + -1, + 507005596, + 957037303, + 582722099, + 125820860, + 83531518, + 582020996, + -1, + 940859043, + 661809266, + 872025631, + 492466310, + 562419246, + 9527792, + 566189826, + 77034407, + -1, + 978489635, + 172192771, + -1, + 570860966, + 25466539, + -1, + -1, + 78889242, + 296119019, + 355329104, + 389019262, + -1, + -1, + -1, + -1, + 879753989, + -1, + 645561182, + 79234633, + 227602183, + -1, + 759477114, + -1, + -1, + 627617596, + 162572926, + 40748001, + 955577649, + 597726882, + 237298485, + -1, + -1, + -1, + 890636693, + 807674077, + 498640439, + 683409036, + 683373716, + 183415886, + 100187039, + 237337598, + -1, + -1, + 266421773, + 729818667, + -1, + 988701570, + 512143274, + 191889073, + -1, + -1, + 967111997, + 647582447, + 642780008, + -1, + -1, + -1, + 92616800, + -1, + 416701643, + 225149227, + 232498122, + 111674620, + 877750448, + 461811879, + -1, + 759037408, + 583684473, + 407320374, + 590823105, + -1, + 669272727, + -1, + 570247912, + 990866565, + -1, + 260405545, + 994182444, + -1, + 392613189, + -1, + -1, + 417618698, + -1, + 10231289, + 550582670, + -1, + -1, + -1, + 853218836, + 846753190, + -1, + 752308583, + 315314498, + 225482058, + 884442968, + -1, + 341670180, + 240324413, + -1, + -1, + 96058256, + 829216387, + 59042277, + 360468168, + 158273267, + -1, + 670449354, + 606082934, + -1, + 250446807, + 361502863, + -1, + 443556175, + -1, + 315545586, + 599724766, + 685805279, + 809199340, + 927487725, + 347926301, + 513884450, + -1, + 226984385, + 157151698, + 114124253, + -1, + -1, + -1, + -1, + 484813865, + 510213540, + -1, + 303147345, + -1, + 957398760, + 909014898, + 844402777, + 841086461, + -1, + 215699375, + 907187546, + -1, + 894711921, + 81493636, + 439031816, + -1, + -1, + 377796136, + -1, + 526192058, + 511805496, + -1, + -1, + 221341715, + 237261171, + 358654352, + -1, + -1, + -1, + 726577600, + 824335439, + 990688548, + 600429303, + -1, + 711492203, + 24981901, + -1, + -1, + 437231889, + 30132120, + 506698887, + 439893060, + -1, + 10185732, + 746874127, + 859964646, + -1, + 595069382, + 907484404, + 768703181, + 197404581, + 460055712, + 759582525, + 20966058, + 927917484, + 752674277, + 338550683, + 329983527, + 384507706, + 807420881, + -1, + -1, + -1, + 382697601, + 430243567, + 70648744, + 132543677, + 875161, + 324939204, + 575565325, + -1, + 581844594, + 55710925, + -1, + 82278722, + 497440470, + 700544874, + 654096676, + -1, + 329504371, + 657510327, + 517150368, + 210950805, + 717446216, + -1, + 447966091, + 964806808, + -1, + 488428577, + 806164775, + 26004108, + -1, + 76526608, + -1, + 249141461, + -1, + -1, + -1, + 95370778, + -1, + 829857515, + -1, + 183407585, + -1, + -1, + -1, + 578914857, + 130330619, + -1, + 247421034, + 402838739, + 161757413, + 415000598, + 272106737, + 55790268, + 250029138, + 959094505, + -1, + 634137876, + 784622168, + 290010803, + 950531606, + 29310965, + 40583365, + -1, + 950222028, + -1, + -1, + 952182629, + -1, + 839394449, + 183986341, + 424552948, + -1, + 328625616, + 291491710, + 263260531, + 304226011, + -1, + -1, + -1, + 203483105, + 916234274, + -1, + -1, + -1, + 488496576, + -1, + 861414040, + 481353747, + -1, + -1, + 855211458, + 472172400, + 890055262, + 813826947, + 428234362, + -1, + 437686046, + 894868833, + -1, + -1, + 688781800, + 93394378, + 339020498, + 904842418, + 196488483, + 713188860, + 834510671, + 325660924, + 355047482, + 930211796, + 735455282, + 141369620, + 516204099, + -1, + 774104455, + -1, + 426001032, + 955801530, + 287118614, + -1, + 55841998, + 948254425, + 383664541, + 881198322, + -1, + 709870654, + 491834931, + 373369691, + 44879762, + 272915906, + -1, + -1, + -1, + -1, + 369318554, + -1, + 181587953, + -1, + 314934552, + 803527200, + 934747248, + 279629345, + 211224708, + -1, + 661902785, + 500326698, + -1, + 569818142, + -1, + -1, + -1, + 878824557, + 921429527, + -1, + 467037541, + 293237891, + 670656291, + -1, + 416278266, + -1, + -1, + -1, + -1, + 178668408, + 619771116, + 384129476, + 164602837, + 289513676, + -1, + 372531969, + -1, + 363059306, + 272251387, + 392914426, + 506425649, + 279254545, + 452328920, + 406674120, + 172475456, + -1, + 677284634, + -1, + -1, + -1, + 90264480, + 849332616, + -1, + 551734451, + 168073732, + -1, + -1, + -1, + -1, + 39842570, + -1, + 990178296, + 916515565, + -1, + 562319046, + -1, + 502428256, + 586668962, + -1, + -1, + -1, + 897572756, + -1, + -1, + 626176617, + -1, + 998376175, + -1, + 273667522, + 383481637, + -1, + 558064845, + 763420836, + -1, + 713833086, + 762827031, + -1, + 218502063, + 424836543, + -1, + -1, + 709931263, + 201679478, + -1, + 258986674, + -1, + -1, + -1, + 83388249, + -1, + -1, + -1, + 460854594, + -1, + 76843285, + -1, + 552678201, + -1, + 43000672, + -1, + 996369591, + -1, + 609554594, + -1, + 658755771, + -1, + 37290481, + -1, + -1, + 829681698, + 208258867, + -1, + 394656826, + -1, + -1, + -1, + 932757937, + -1, + 472185253, + 761236437, + 155216956, + 497029398, + 69823709, + -1, + 170707427, + 148504599, + 709606172, + 285222331, + 768727621, + 276965582, + 586976823, + -1, + -1, + 816145603, + 895208478, + 142171888, + 908055584, + -1, + 776165409, + 146215491, + 606812281, + 228620136, + 685927643, + 161914626, + 996530820, + 839467795, + 347580680, + 70800290, + 12337509, + -1, + 390576290, + 310020844, + 807712521, + 810546461, + 713361632, + 592418243, + 528910340, + 869382999, + 302238572, + 361397270, + 949903741, + -1, + 687597409, + 15608634, + 929040186, + 37276597, + 142679981, + 164252674, + -1, + -1, + -1, + -1, + 86204364, + 169743192, + -1, + 914410242, + 746362161, + 805147967, + 187189618, + 285961236, + 613440535, + 928933739, + 251326291, + 186557031, + -1, + 749972933, + 857860990, + 119304300, + 593665344, + 142898650, + 616134256, + 109349007, + -1, + 83447470, + 43929410, + -1, + 898020437, + -1, + 869473464, + -1, + 994268160, + 74582320, + 120516849, + 895222160, + 895839979, + -1, + -1, + -1, + 298331197, + 335864769, + -1, + 775725130, + -1, + 325859836, + -1, + 246841079, + -1, + 751093367, + 564539344, + -1, + 399470510, + 576875650, + 35722588, + 586032789, + 944047837, + -1, + -1, + 103939131, + 786190842, + 148017112, + 981576933, + 836861585, + 833059568, + -1, + 20124196, + 673092035, + 586640913, + -1, + 573202726, + 740796175, + 109010218, + 142513748, + 230907227, + 84683177, + 437788678, + 486898290, + 699818083, + 151789612, + -1, + -1, + 212619862, + 664347729, + 494441731, + 764969780, + -1, + 729637430, + 572396371, + 527092344, + 174170020, + -1, + 796561497, + 196965671, + -1, + 661915347, + 19349015, + 537918197, + 906893481, + -1, + 12327001, + 351445086, + 265217899, + 421545501, + 829668278, + -1, + 154951180, + 626342254, + 378663574, + 399012471, + -1, + 216899296, + -1, + 151268037, + -1, + 955688918, + 158715659, + 740459323, + 484531587, + 858360409, + -1, + 405617554, + 470498599, + 21884385, + 892523351, + 359685322, + 938624523, + -1, + 609436496, + -1, + -1, + 848766754, + 702488198, + 76476381, + -1, + 838960331, + 609964893, + 7949160, + -1, + 297159735, + 812574099, + 965454883, + 498494358, + -1, + -1, + 198891092, + -1, + 752207515, + 274370159, + 296500990, + 454311447, + 216260603, + -1, + -1, + 546840053, + 680492513, + -1, + 872477753, + -1, + -1, + -1, + 931438647, + -1, + 333526943, + -1, + 75653477, + 202640162, + -1, + 813394979, + -1, + 923448030, + 987919142, + 825838260, + -1, + -1, + -1, + 427461178, + 454568937, + 895195822, + -1, + -1, + 305452659, + 137249672, + 541943299, + 243012916, + 937951921, + 984507422, + 79895488, + 226735396, + -1, + 639604849, + 688907913, + 647785963, + 748354279, + 400913577, + 408274126, + -1, + 585415729, + -1, + 162098908, + 262567895, + 610367611, + 360030873, + -1, + -1, + 569481055, + 327142396, + 169587332, + -1, + -1, + 157873740, + 955122057, + 141719391, + -1, + -1, + 825786698, + 892470621, + 542607228, + 963740798, + 757427801, + 226998700, + 348959560, + -1, + 530158976, + 474521120, + 247572428, + 552628213, + 130750964, + 437627054, + 168255271, + 57589399, + 758637735, + -1, + -1, + 647623585, + -1, + -1, + -1, + -1, + -1, + -1, + 704413135, + 512367561, + 80571036, + -1, + 809938648, + 268807942, + -1, + 28438646, + 455716352, + 963622709, + -1, + 972951620, + 314420555, + 708680478, + -1, + 365376661, + -1, + -1, + 560620981, + 211670137, + -1, + 973567540, + 395775929, + 143764598, + 299666632, + 761871331, + -1, + -1, + 248559213, + 849163121, + 151148514, + 990769294, + 206738860, + -1, + 880144615, + 777447405, + -1, + 267242547, + 368322098, + -1, + 132243223, + 292110992, + 292290, + 174728851, + 627167636, + 284937779, + 228498006, + 888427494, + 959398496, + 726555582, + 445601208, + -1, + 949758357, + 549099906, + -1, + 755723293, + 681794553, + 664005496, + -1, + -1, + -1, + -1, + 441663744, + -1, + 316243533, + 405434013, + 423878083, + 506195134, + 252900291, + 578897503, + 916929221, + 798408239, + 120142653, + -1, + -1, + -1, + -1, + 891003000, + -1, + 628355916, + -1, + 853837593, + 664641897, + -1, + 307111372, + 466076328, + 934032224, + -1, + -1, + 501263333, + 519170811, + 809589707, + -1, + 525172537, + 166902018, + 869117120, + 95030875, + 796887801, + 423433106, + 516749220, + 901801878, + -1, + 799100850, + 668459892, + 414728593, + 714358890, + -1, + 539214430, + -1, + 564362881, + 457701756, + -1, + 843610641, + -1, + 573304185, + 164152644, + 107599089, + 751534857, + 126809177, + 141524364, + 440329426, + 625148316, + -1, + 358202246, + 39234934, + 976066239, + 537795044, + 579753265, + 525098074, + -1, + 42747599, + 950103199, + 6050871, + 230894424, + 606025346, + 974132701, + 748189203, + 819443223, + -1, + 891387239, + -1, + 139875681, + 70028190, + -1, + 635426083, + -1, + -1, + 846968109, + 473806724, + 199831229, + -1, + 85653428, + 225636100, + 332162892, + 97087555, + 341528845, + 75858065, + 82555275, + 664149132, + 957711381, + 999925806, + 922379929, + 200262890, + -1, + -1, + -1, + 643012054, + 991246141, + -1, + -1, + 321197177, + -1, + 845176693, + 893395203, + 290016732, + -1, + 149163437, + -1, + -1, + 494011796, + -1, + 146783790, + 278689479, + -1, + 18107223, + -1, + -1, + 743102895, + 335756645, + 273718689, + 419589193, + -1, + 342106287, + 575032746, + 390051434, + -1, + -1, + -1, + 304543623, + -1, + 660143147, + 514762887, + -1, + 73259943, + 948089883, + 399677595, + 246909779, + 613346858, + 106272397, + 934211216, + 450813802, + -1, + 21255977, + -1, + -1, + 349157685, + 774343711, + 195716947, + 300502417, + -1, + 279257477, + 759272789, + 125707120, + -1, + 4903972, + 80696461, + 528156508, + -1, + 94024343, + -1, + -1, + 663912902, + 680951203, + -1, + 766409952, + 322247846, + -1, + 9651788, + 500059111, + 731469404, + 423679319, + 55669366, + -1, + 776870868, + -1, + 970942301, + -1, + 730965037, + 181697482, + 956385795, + 205411450, + 431300637, + 290422655, + 676982483, + 282373403, + 956256708, + 363101593, + -1, + 615273971, + 71277691, + 462846052, + -1, + -1, + 490541769, + 548260814, + 877422566, + 202173511, + 381382576, + -1, + 924843824, + 463645346, + -1, + -1, + 345428695, + 48677760, + 474004901, + 485127862, + 890778582, + 910244775, + -1, + 490395259, + 540298280, + 211166609, + -1, + 755799479, + -1, + 287746574, + -1, + 124635705, + 285686681, + 542415223, + 801132232, + 327237139, + -1, + 664280287, + -1, + 959240548, + 479131401, + 657754884, + -1, + 650933954, + 338384705, + -1, + 4023285, + -1, + -1, + 156199835, + 239360529, + -1, + 88172572, + 467514686, + 834174419, + -1, + -1, + 989112999, + 760396972, + 407128962, + -1, + 893853925, + 411746735, + 649033508, + -1, + -1, + 249125673, + 617869927, + -1, + 691492018, + 829376024, + -1, + 663765085, + 180558306, + 367133140, + 510698029, + 48642378, + 864999081, + -1, + -1, + 502087644, + 627721593, + 44988081, + 902584765, + 714846359, + 949273035, + 774861035, + 505511887, + 856507960, + -1, + 880374730, + -1, + 412779425, + -1, + 943740962, + -1, + 89469744, + 936784943, + 30459177, + 312487211, + 243880997, + 304780770, + 366118640, + 452017005, + -1, + 972010089, + 156348675, + 801118084, + -1, + -1, + -1, + 724165623, + 144259418, + 80520751, + 192936998, + 445885788, + -1, + 763413552, + -1, + 547853230, + 570010187, + -1, + 454004314, + 263989727, + -1, + 473575676, + -1, + 933379079, + 198336767, + -1, + 840512325, + 985489768, + 567411627, + -1, + -1, + 146521438, + 664633886, + -1, + 877757624, + 694566083, + 319852424, + 285451859, + 146763265, + 731736295, + -1, + 719888906, + 722704382, + 505500298, + 458886815, + -1, + 791423512, + 445423196, + 324843664, + -1, + -1, + 875389607, + -1, + 66991212, + -1, + 573096702, + -1, + 705949481, + -1, + 336851107, + 571496914, + -1, + 212766922, + -1, + 61167416, + 324236974, + 680321676, + 90365937, + 782234925, + 330381233, + 798393042, + 424725248, + 261608710, + 269725578, + -1, + 434933613, + -1, + 995448923, + 939990315, + 572468152, + 333416042, + 214084146, + -1, + -1, + 298238495, + 421809746, + 323078406, + 557533399, + -1, + 826687126, + 736042988, + 112170579, + 907063201, + 103471560, + 798269857, + 121624413, + -1, + -1, + 840686331, + 321679058, + -1, + 684237368, + 672287782, + 259856289, + 951793437, + 672720219, + 659891105, + 677241713, + 383241595, + 216422284, + 57267398, + 572091825, + -1, + -1, + -1, + 766068666, + 492651674, + 672777367, + 640872695, + 728631196, + 579360885, + 652082160, + -1, + 907665184, + 159455442, + -1, + 788585766, + 344652980, + 586688730, + 390553120, + 470950466, + 671477783, + 466029132, + 816003952, + 206654934, + -1, + 514897070, + 671731608, + 782913935, + 717238125, + 923523667, + 323071486, + 896767400, + 688593367, + -1, + -1, + 643206402, + -1, + -1, + 491640860, + -1, + -1, + 640122170, + 348691922, + -1, + 881614240, + 144588185, + 825198661, + -1, + 29605290, + 965017294, + 178660110, + 277693804, + 6106, + -1, + 332070726, + 961525892, + 882715213, + 910780726, + 443514411, + -1, + 88769965, + -1, + 446346237, + 290095437, + 67820366, + -1, + -1, + 632363530, + 920190415, + -1, + 565152295, + 810052418, + 852143895, + 443099437, + 208333794, + 703370266, + 205250863, + -1, + 823887363, + 365998507, + 332828046, + -1, + -1, + -1, + 477877910, + -1, + 954259031, + 804424435, + 429580022, + -1, + 696083998, + 645365579, + 806488866, + 844746908, + 705147064, + 68384179, + -1, + 743267773, + -1, + 264236279, + 918718792, + 754851028, + -1, + 740518402, + -1, + -1, + -1, + -1, + 472593308, + 93403209, + 678466641, + -1, + 636556017, + -1, + -1, + 352994213, + 723788949, + -1, + 206919482, + 61216773, + -1, + -1, + 755905476, + 682305616, + -1, + -1, + 313024290, + -1, + 650145536, + -1, + 106105209, + 894383346, + 780804487, + 781652832, + -1, + 95563189, + 87512683, + 180880502, + 264827869, + -1, + 406246991, + 652844279, + 235729403, + 752909555, + 385076598, + 298747456, + 958072825, + 490519014, + -1, + -1, + -1, + 347103594, + 497761621, + 641303969, + 544468636, + 93837210, + 131168544, + 253943738, + 379779247, + 762004423, + -1, + -1, + -1, + 890788586, + -1, + -1, + -1, + -1, + -1, + 912887475, + -1, + 210642713, + -1, + -1, + 377120548, + 327255695, + -1, + -1, + 710118448, + 801451314, + -1, + 174305358, + 619967144, + 239879797, + -1, + 318756991, + -1, + 164542559, + -1, + 302490465, + 376894259, + 310587825, + -1, + 165915694, + 391236909, + 505323780, + 102493426, + -1, + 606956158, + -1, + 213600276, + 167117075, + -1, + 209307119, + -1, + -1, + 444113986, + -1, + -1, + 915261412, + 428942779, + 502329343, + 805287618, + -1, + 19273082, + 716266384, + -1, + 133947195, + 239025226, + -1, + 714642455, + 300954357, + 212521382, + 397707917, + -1, + -1, + 681232143, + 752376889, + 658836698, + 239596091, + -1, + 899964336, + 824725334, + -1, + 448058198, + -1, + 853568222, + -1, + 161106459, + 933073959, + 946565363, + -1, + 692876141, + -1, + 995820095, + -1, + 493401966, + 263849471, + 817811213, + 577364179, + 400032918, + 347133145, + 174426132, + 632454569, + 755721118, + -1, + 475532852, + -1, + 765496061, + -1, + 602172879, + -1, + 882730262, + 442307162, + -1, + -1, + 120371060, + 639107012, + -1, + 913993146, + 522259323, + -1, + -1, + 38934846, + -1, + 827674969, + 313374412, + 967407793, + -1, + 631834419, + 102457246, + 92816863, + 896499664, + 131781773, + 310642000, + 120434448, + -1, + 451062249, + -1, + 738168689, + 391841794, + 737696795, + 537863268, + 596978271, + 848356414, + -1, + 101134984, + 173784098, + -1, + -1, + 307296361, + 599323790, + -1, + -1, + 996565688, + 746585735, + 208698808, + 261559005, + 920851102, + -1, + -1, + 325614255, + -1, + 810089145, + -1, + 548210817, + 847239766, + -1, + 402506902, + 709082624, + -1, + 622505563, + 944053420, + -1, + 212818436, + -1, + 774529060, + -1, + -1, + 571027280, + 149915925, + 459554468, + -1, + 226558117, + -1, + 561537964, + 394999425, + 416263148, + -1, + 409334748, + -1, + 281976191, + -1, + 552331453, + -1, + -1, + 75000247, + -1, + 252386512, + -1, + -1, + 351227872, + -1, + 412225914, + -1, + 666706000, + 639004210, + 79947418, + -1, + 247466251, + 206175286, + 597109845, + 288829466, + 35785075, + 566605873, + -1, + -1, + -1, + 803862733, + 490999569, + 568667599, + -1, + -1, + 19784755, + -1, + 944664564, + 28781692, + 449328728, + 649796699, + 104637533, + 71346571, + -1, + 195502990, + -1, + -1, + 962190462, + -1, + 113346078, + 967334100, + 784837505, + 838353843, + 144128900, + 837128747, + -1, + 774970245, + -1, + 606532034, + 282912348, + 183502720, + 811204913, + 324429034, + -1, + 107648158, + 214099111, + -1, + 698597944, + -1, + -1, + 2118466, + 661713661, + 342073406, + -1, + 337040346, + 532420873, + -1, + 212080460, + 565605277, + 10832481, + -1, + 828273469, + -1, + -1, + 728447010, + 7391017, + 889861123, + -1, + 197300687, + 467052918, + -1, + 288773203, + -1, + 885984176, + -1, + 501859067, + 969201229, + 609915391, + -1, + 189794347, + 861201702, + 690851547, + 125789320, + 379312834, + 563878162, + 495729705, + -1, + 423267177, + 530437838, + 934339067, + 924419462, + 253692304, + 391081858, + 473658262, + 164526907, + -1, + 259755693, + 134847617, + -1, + -1, + -1, + -1, + -1, + 489532844, + 249716764, + 286299736, + 587565016, + 270569495, + 614849523, + -1, + 807235468, + -1, + 926571844, + 388078090, + -1, + -1, + 62901278, + 361844422, + 971301548, + 211587975, + 918994041, + 545312038, + 378037115, + -1, + 996667, + 674084155, + -1, + 588044266, + -1, + 575827705, + 550121870, + 577992780, + 468452715, + -1, + 860623111, + -1, + 796771056, + 793007399, + -1, + 273795011, + -1, + 327187295, + -1, + 717355504, + 490839294, + -1, + 464967220, + 541002230, + 596034410, + 110156154, + -1, + -1, + 430896414, + -1, + 685913163, + 180677609, + -1, + 868146535, + 39822500, + -1, + -1, + -1, + 969860461, + -1, + 224973376, + -1, + -1, + 82087162, + 875380372, + 452792155, + -1, + 241894690, + 721405502, + 55447273, + 428532827, + 446773927, + 57678223, + 458204171, + 755937480, + -1, + 121731327, + 661348117, + 628167334, + -1, + 835006939, + 569070348, + 432000349, + 474859351, + 180205163, + 471621764, + -1, + 226242098, + -1, + -1, + -1, + 440041894, + 946964423, + 890152187, + 672409498, + -1, + 375499085, + 699023867, + 498638834, + 609626812, + 924015100, + 885562423, + 895224585, + 901240987, + -1, + 353996936, + -1, + 345680811, + 371617306, + 396472395, + 733046565, + 963732882, + 768838167, + 119427095, + 198999035, + 305612067, + 768356284, + -1, + -1, + 288241440, + 689377133, + -1, + 686205275, + -1, + 377717215, + -1, + -1, + 983879836, + 55239263, + 321294768, + -1, + 619559423, + -1, + 184592606, + 35514380, + 236109028, + 678409205, + -1, + -1, + -1, + -1, + 870897289, + 590496121, + 751696567, + 863781390, + 296808109, + 127272259, + 517479409, + 417096674, + -1, + 255776819, + 507180966, + -1, + 86472754, + 20826522, + 306620495, + 333186921, + 263799757, + 173757370, + 376437191, + 800153977, + -1, + -1, + 137701379, + -1, + 710984424, + 363643616, + 927755798, + 204363140, + 602556598, + 71857333, + 329653626, + -1, + 779229573, + 417182601, + 473011594, + -1, + -1, + -1, + 384509822, + 956562295, + 683280489, + 823293068, + 963454426, + -1, + 229764839, + 155511972, + -1, + 130315895, + 639990232, + -1, + -1, + 357470947, + 966643450, + -1, + -1, + -1, + 577894706, + 456526099, + 226794740, + -1, + 493946051, + 59907796, + 983875928, + 399640517, + 452427851, + -1, + 324413662, + -1, + 150136716, + -1, + -1, + 820757055, + 806311968, + -1, + 546548233, + 555467593, + 177274125, + -1, + -1, + 285790245, + -1, + 440864442, + 354800304, + 11361703, + 335889338, + 247346468, + -1, + 61192979, + -1, + 699197549, + -1, + -1, + -1, + -1, + 205460142, + 119749832, + 137073423, + 931259379, + 522565708, + 755747248, + 265712413, + 408558615, + -1, + -1, + -1, + 366887789, + 461627664, + 284105729, + 262712099, + 961317979, + 554073174, + 837014191, + 898026267, + 387763452, + 399150374, + 333000450, + 537133723, + 521483187, + 250227012, + 47930254, + -1, + -1, + 342616553, + -1, + 715614130, + -1, + -1, + 587230825, + 529207709, + 70267631, + 299968570, + 587622065, + 536324019, + 941920026, + 259680561, + -1, + 727470842, + -1, + 620605942, + 230886492, + 948841597, + -1, + 69582045, + 494684481, + -1, + 549918620, + -1, + 148089131, + 696393924, + -1, + 740624582, + 938091948, + 833977617, + -1, + 639960438, + 266312947, + -1, + -1, + 799804855, + 163754486, + -1, + 639258679, + 52462237, + 977213314, + -1, + 994141330, + 222274134, + 610437050, + 723080001, + -1, + 963620948, + -1, + 241252276, + 359771338, + 717175237, + -1, + 204983738, + -1, + -1, + -1, + 736730010, + 376625197, + 560256860, + 869898285, + -1, + -1, + 506562076, + 526650629, + -1, + 393536743, + 742308660, + 392837073, + 308416437, + 413038631, + 144074645, + 25438096, + -1, + 691372887, + 967372686, + -1, + 200722632, + 378870340, + -1, + 315447236, + 249145057, + 632846131, + 145165865, + 887864043, + 111379729, + 573328165, + -1, + 629165650, + -1, + 258859066, + -1, + 283747684, + 407532389, + -1, + 936611415, + 845873509, + 42543686, + 491804810, + 516032106, + 536577836, + -1, + 494470129, + 596985259, + -1, + -1, + -1, + -1, + -1, + 775064716, + 157185744, + 501891021, + 787512767, + 703260079, + 483556316, + 482053609, + 132274171, + 600127021, + -1, + -1, + 280506111, + 684472118, + -1, + 290222281, + -1, + 85596726, + -1, + 694374445, + 964701157, + 293115046, + 336793879, + -1, + -1, + 452905649, + -1, + 985816416, + 799919316, + 221132474, + 158832267, + 140094717, + 14440290, + 562384814, + 387349828, + 399155850, + -1, + -1, + 406749286, + -1, + -1, + 404485320, + -1, + 390099664, + 656746223, + -1, + -1, + -1, + 904024832, + 904970051, + 318461829, + 689002393, + 789423660, + 940607518, + 677436424, + 523821197, + 673436786, + 728585955, + 730183004, + 294034673, + 341407566, + 879771071, + -1, + 21504029, + 128963042, + -1, + 402185548, + 710812568, + 645764391, + 347755451, + -1, + -1, + -1, + 975063138, + 343920287, + 103876487, + -1, + 179669991, + 980166866, + 997169465, + 519051274, + 687195447, + -1, + 747004990, + 955070425, + 516096583, + 807602941, + 43827029, + 834790477, + -1, + 780747805, + -1, + 260679594, + 755121982, + 33115896, + 944831760, + 177553650, + -1, + -1, + 373595819, + -1, + 755621424, + 901772822, + 493690918, + 198653412, + 253939092, + 375337549, + -1, + -1, + 43516518, + 205812079, + -1, + -1, + 262344510, + 893260312, + -1, + 135249416, + 830226220, + -1, + 961316495, + 848561908, + 99320969, + 424578620, + 505322280, + 804502040, + 10951179, + 781370908, + -1, + 832402249, + 740913221, + 102905520, + -1, + 863410535, + -1, + 834948126, + 935705283, + 882794720, + 51278023, + -1, + 14717008, + 440369282, + 444214404, + 402665350, + -1, + -1, + -1, + 246164775, + 516031907, + 508576675, + 101983924, + -1, + 507034249, + 410453594, + 274408166, + 231219315, + 292837769, + 997943241, + -1, + -1, + 688957173, + 718177113, + -1, + 256099065, + 908198895, + 61255187, + 934579510, + 166335488, + 986693988, + -1, + 351166196, + 531387401, + 568222888, + 904291612, + 143680695, + -1, + 834121647, + 734854090, + 467885379, + 145605196, + 504659138, + 301533469, + 203729679, + 688189693, + 168806135, + 631215909, + 24506492, + -1, + 550841851, + 376392477, + 239695839, + 251128128, + 746255293, + 945893984, + 299041197, + 990911043, + -1, + 39471331, + 915435277, + 18610947, + -1, + 806003158, + 267491149, + 501697406, + 453472503, + 312269131, + 811192795, + 889755977, + 158279130, + 292092712, + 18581145, + 11365107, + -1, + 476680239, + -1, + -1, + 402146002, + 602073358, + 432423905, + -1, + 885555816, + -1, + 789491031, + 794487761, + 824579897, + -1, + 780206942, + 243974413, + 271608751, + 932964428, + 255214156, + -1, + -1, + 435692290, + 866553240, + 549972040, + 102442710, + -1, + 737754634, + -1, + 867514659, + 198008798, + 430138538, + 403567411, + 579373149, + 8377091, + -1, + 616219752, + -1, + -1, + 134503815, + 672221273, + 139206601, + 463539338, + 449418633, + -1, + -1, + 867070754, + 234194948, + 773775036, + 672507616, + 695805295, + 318840880, + -1, + -1, + -1, + 879030095, + -1, + 304001413, + 724105657, + 55496047, + -1, + -1, + -1, + 565941881, + 568739606, + 955795301, + 879715702, + 373488269, + 812020562, + 962368107, + 302991906, + 690222206, + 656773108, + 602238927, + 86868480, + 806218697, + -1, + -1, + -1, + -1, + 820695186, + 84528960, + 401418047, + -1, + 579066496, + 869725643, + 789428336, + 272617895, + -1, + -1, + 624378808, + 286834098, + 187413552, + 27563898, + -1, + 687695162, + -1, + 855452139, + 522924716, + 394256372, + 982018735, + 662145669, + -1, + -1, + -1, + 235939038, + 626155373, + 109121489, + -1, + 202113561, + 281484437, + -1, + 596901976, + 897422854, + 235099398, + 178722932, + 790881264, + 502039429, + 699444937, + -1, + 483730685, + 870220955, + 86453386, + -1, + -1, + 956106072, + -1, + -1, + 797314766, + 918887246, + 596654625, + 961612250, + -1, + 841187843, + 895758627, + 97358238, + 932524056, + 421822381, + 468271617, + 456064940, + 211723180, + 580818125, + 956727375, + -1, + -1, + 474300373, + -1, + 127182671, + 538623147, + 655670763, + -1, + -1, + 524368755, + 926503507, + -1, + -1, + -1, + 301729519, + 943498437, + -1, + -1, + 69514548, + 334869615, + -1, + -1, + -1, + 913297153, + -1, + -1, + 302934488, + 640299726, + 811373791, + -1, + 954204674, + 445104640, + 959483591, + -1, + 629154620, + -1, + -1, + 164205354, + 35482737, + 728253508, + 350168603, + 128935938, + -1, + 881904123, + 490858813, + -1, + 282242087, + -1, + -1, + 770330689, + -1, + 693103980, + 423387588, + 239560913, + 722042105, + -1, + 657242429, + 81517546, + -1, + -1, + 580445954, + -1, + 880024050, + 222395347, + -1, + 287475063, + 482381164, + 819047549, + 747359498, + -1, + 622718346, + -1, + -1, + 799543803, + -1, + 812033404, + 361163041, + 312221780, + 263621608, + 659094465, + -1, + 13688541, + -1, + 38479918, + -1, + -1, + 60193920, + 988372192, + 225721817, + 561706557, + 9248445, + -1, + 321307659, + -1, + 918851553, + 701191211, + 325262304, + 690408817, + -1, + -1, + 501801223, + 809073066, + 81479935, + 507072775, + -1, + 140446483, + 716805938, + 230773158, + 387029011, + 456552152, + 207391561, + 998208082, + 4872196, + -1, + -1, + 268672105, + 620452104, + -1, + -1, + -1, + 790287508, + 436925743, + 892256410, + 360431959, + -1, + 813386135, + 923895820, + -1, + -1, + -1, + -1, + 143775685, + -1, + 847826590, + 69720792, + 383285875, + 532239710, + 997946904, + 816399990, + 589138808, + 696373084, + 481533122, + 923441380, + -1, + -1, + -1, + 805493877, + 429403858, + 154018608, + -1, + -1, + -1, + 903453230, + 62578924, + 339770912, + 829132505, + 976432921, + 987385144, + 16620343, + 724114770, + -1, + 714924286, + 643806735, + 16700034, + 115452805, + 490446290, + 301058058, + -1, + 745534960, + -1, + -1, + 173627972, + 759426914, + 473123518, + 581998326, + 772611591, + -1, + 607429971, + -1, + -1, + 97597838, + 555900436, + 326719432, + 662931084, + 226682776, + -1, + 389789151, + 646029493, + -1, + 369049287, + 843839191, + -1, + 971828814, + 662260261, + -1, + 31434116, + 708700466, + 195136542, + 425516097, + -1, + -1, + -1, + 630136591, + 94677727, + 614555686, + 728141828, + 549515496, + 823964527, + 568585115, + 881041587, + 859316327, + 606333958, + 829582911, + 480322058, + -1, + 902467931, + 556320643, + -1, + 328525472, + 915583728, + 423655469, + -1, + 281320220, + 673829228, + 403973291, + -1, + -1, + -1, + 341271442, + -1, + 546110180, + 853855431, + 800855824, + 58106232, + -1, + -1, + 709841585, + 189902429, + -1, + 707775519, + 471221933, + -1, + 11147259, + 209190466, + 760542321, + -1, + -1, + -1, + 232426480, + 335298320, + 345022507, + 546439573, + -1, + 637216266, + 706063183, + 312975550, + 984500096, + 960369368, + 272111190, + 478683526, + 930625913, + 93790666, + 196154381, + 119423700, + 27792205, + -1, + -1, + 397593104, + 600320575, + 408675974, + -1, + 769567154, + 655855720, + 459758363, + 155210110, + 820219866, + -1, + 103811014, + 59499619, + 271346168, + 332505354, + 576057912, + 75626883, + 194028396, + 911322217, + -1, + 35473742, + -1, + 521179462, + 838088085, + 87297363, + 781637222, + -1, + 310504915, + -1, + 8541635, + 312898358, + 223694080, + -1, + 628379783, + -1, + 929781784, + 416673239, + 909498172, + 433054097, + -1, + 877563689, + 360838981, + 348928336, + 661474471, + 319726226, + 897356186, + 8370613, + -1, + 910420124, + 714849387, + -1, + 555553344, + -1, + -1, + 44335523, + 89275888, + 398165285, + 717225859, + 116453587, + 25901773, + 408063782, + 610919772, + 694024028, + 840212901, + 73044923, + 786711378, + 615172676, + -1, + 261152828, + 834882685, + 807056524, + -1, + -1, + -1, + 543304619, + -1, + 843814764, + 652732903, + 736688084, + -1, + 495708159, + 391781795, + 747224825, + 764402197, + 182217177, + 112032795, + -1, + 536963245, + 620265781, + 443791920, + 826557514, + 715030648, + 118815955, + 346249542, + 165481695, + -1, + -1, + 602084704, + 330539161, + 39797554, + 718086639, + 372748260, + -1, + -1, + 398494767, + 873441354, + -1, + 626861068, + 826321382, + -1, + 2791813, + 837560701, + -1, + -1, + -1, + 792184149, + -1, + 267310349, + 954335850, + 974552784, + 289668157, + 734888686, + 221221470, + 746020454, + 820972420, + -1, + -1, + 671681719, + -1, + -1, + 21675192, + -1, + -1, + 902713640, + -1, + -1, + 992400968, + 206413405, + 585377923, + -1, + -1, + -1, + 358282223, + 386661604, + 468726730, + 595708768, + -1, + 96816203, + 482898719, + -1, + 466266167, + 563901128, + 717212163, + 473238027, + -1, + 587105331, + 553746805, + 878781803, + 661190252, + -1, + 850413024, + 136692319, + -1, + -1, + 659412666, + 383178823, + 634141559, + 952145572, + 381669873, + -1, + -1, + 27447759, + 174749488, + -1, + -1, + -1, + 17896659, + 584568418, + 592966997, + 499288786, + -1, + 452844509, + -1, + -1, + 768026957, + 78792102, + 593797240, + -1, + 435364892, + 134817665, + -1, + 958614131, + -1, + -1, + -1, + 30665059, + 596957705, + 987463588, + -1, + 614656345, + 732373647, + -1, + 188480351, + 62700765, + 505847592, + 11731875, + -1, + 169560349, + 66879616, + 807251490, + 182874508, + -1, + 883678030, + 612256927, + 359375148, + 123718374, + -1, + 898676284, + -1, + 232955899, + 115180182, + -1, + -1, + 328577228, + 889911646, + 372877900, + 656996967, + 381608985, + 29187817, + -1, + 735212459, + 415122273, + 738089151, + 839579709, + 949035300, + 295875238, + 182959178, + 530023177, + 451632620, + 499439492, + 176413068, + 341428308, + 150890542, + 458946220, + -1, + -1, + -1, + 867295132, + 404698984, + 492631843, + 677334748, + 98534090, + 839114776, + -1, + 914134438, + -1, + 936701594, + 176314863, + 818959399, + 21325649, + 925654345, + 392091728, + 955283556, + 707395421, + -1, + 355691125, + 978160902, + 517375355, + 729664269, + 222941820, + 675105412, + 606830412, + -1, + 107617914, + 219357138, + 873569310, + 773072896, + 268239222, + 976935734, + 996148944, + 826068595, + 674685332, + 701498981, + -1, + 694257904, + 519461373, + 52374828, + 336478311, + 268248314, + 326292966, + 910704023, + 489948051, + 90233638, + 441024326, + 879915702, + 790462032, + 316786685, + -1, + 125531834, + 824202870, + 934022769, + -1, + -1, + -1, + 343526959, + 440088259, + 572430341, + 48145751, + 341068426, + -1, + -1, + 543858747, + 434631628, + -1, + 310341473, + 605278433, + -1, + 953319055, + 553670650, + -1, + -1, + 199934294, + 357820270, + 865810795, + 984404352, + 561736854, + 391548913, + 90576368, + 725023205, + 12320276, + -1, + 819936460, + 317176759, + -1, + 574695918, + 583856670, + 337123468, + -1, + -1, + 547231843, + -1, + -1, + 918616142, + 820438760, + 156931573, + 681416799, + 147396937, + 586250733, + 220542736, + -1, + -1, + 639791508, + 662183241, + -1, + 467803746, + 152987626, + 955215245, + 141648143, + 938510446, + 974197264, + 94570637, + 991325784, + -1, + 454191726, + 411186011, + -1, + 465367575, + 347080288, + -1, + 432611895, + 531909358, + -1, + 290546185, + -1, + 665872378, + 283306603, + -1, + 322467410, + 979679932, + -1, + -1, + 115048684, + -1, + 473782132, + 273428825, + 525335621, + 222163901, + 40565044, + 201646912, + 436772393, + -1, + -1, + 805269362, + 164692873, + 651746845, + 312078266, + -1, + -1, + -1, + -1, + -1, + 682459411, + 311402327, + 776124635, + 429261802, + 577759952, + -1, + -1, + -1, + -1, + 456549093, + -1, + 22058410, + -1, + -1, + 393595958, + 661234040, + 534747120, + 868095190, + 370961477, + -1, + 5947995, + 774604923, + 896557090, + 163675605, + 318206137, + 884976639, + -1, + -1, + 912343375, + 582133445, + -1, + 508117484, + 547658634, + -1, + 560304367, + 464779838, + 457278694, + 540483156, + 146538474, + -1, + 166997775, + 99927406, + 292173888, + 830672381, + 552655527, + -1, + 321618331, + -1, + -1, + 662235218, + 429503140, + 204815982, + 251302933, + 902614144, + -1, + 709900812, + 853948400, + -1, + 518364594, + 387770629, + 227583170, + -1, + -1, + 206251820, + 197377129, + 735325644, + 575609416, + 888536509, + 666803248, + 287273101, + 722464039, + 170858065, + 689950387, + -1, + 88073280, + -1, + -1, + 450429190, + -1, + 722282212, + 550385292, + 319485023, + 810538037, + 828846291, + 573855321, + 58617309, + -1, + 425544182, + 877937676, + 987142742, + 403923427, + 718064078, + 747784550, + 754185130, + -1, + 425143764, + -1, + -1, + 935362677, + -1, + 67887793, + 302939348, + -1, + -1, + 55338833, + -1, + 673170696, + 78874569, + 548260760, + 332605907, + 738018314, + 466130225, + 560808088, + 606941561, + 482123226, + 274542691, + 341793180, + 466503815, + 105569440, + -1, + -1, + 795902137, + -1, + -1, + 794487242, + 876081982, + 106329115, + -1, + 937747592, + 605923223, + 261307226, + 860034646, + 55167986, + 216204085, + -1, + 620150812, + 398135971, + 443103893, + -1, + 823016833, + -1, + -1, + -1, + -1, + 820346350, + 915352003, + 359568924, + 339572165, + 233147084, + -1, + -1, + 429865711, + 51305330, + 925786902, + -1, + 994542202, + 354577998, + -1, + -1, + 217841808, + 765097682, + 466555008, + 580632682, + 875971942, + 48254498, + -1, + 58981022, + 820326368, + -1, + 657478004, + 459569509, + 272011138, + 95253777, + 820931550, + 923780258, + 405821027, + -1, + -1, + 304476223, + 308801123, + -1, + 172258338, + 151551880, + 612817248, + 453106565, + 620073110, + 234556774, + 617569267, + -1, + 638096972, + 107742836, + 652324068, + 345068048, + 302739661, + -1, + 490193217, + 43512421, + 67675813, + -1, + 561267853, + -1, + -1, + 473779597, + -1, + 613719556, + 220243339, + -1, + 710854235, + -1, + 282389867, + 35526815, + 303860936, + 818696147, + 329234810, + 226725175, + 147814136, + 969502489, + -1, + 659942433, + -1, + -1, + -1, + 325168771, + -1, + -1, + -1, + 403262272, + 344589019, + -1, + -1, + 484539910, + -1, + -1, + 987395291, + 990153148, + -1, + 963508475, + 87778314, + 166400004, + 193067122, + 917309401, + 673523834, + 669904613, + 77282399, + 83353863, + 938063729, + 542396370, + 191190139, + 132248695, + -1, + -1, + 325245823, + 854572463, + 763278961, + 765906637, + 252097215, + -1, + 802813527, + 439739611, + 737125501, + -1, + -1, + 902069112, + 781282341, + 405740618, + -1, + -1, + -1, + -1, + 165733698, + -1, + 769726300, + 187561651, + -1, + -1, + 754755233, + -1, + 974246305, + -1, + 526148823, + 569463189, + 437086983, + -1, + 720658252, + 197326333, + -1, + -1, + 325494443, + 116476882, + 150794799, + 47566126, + 751139264, + -1, + -1, + 853906574, + 558606769, + -1, + -1, + 677369776, + 309835571, + 97622394, + 485454776, + 287884031, + -1, + 80870804, + 705054089, + 521510271, + 299032285, + 786864779, + 596050175, + 61107018, + -1, + 156935942, + 503193779, + 246828587, + 687882879, + 405566685, + -1, + 816518713, + 519623726, + -1, + 554787106, + 788244702, + 10780779, + 937496977, + 480967712, + -1, + -1, + -1, + 494579979, + 891650420, + 355500845, + 636377356, + -1, + 210814313, + 248355218, + -1, + -1, + 860942745, + 839643295, + 56392533, + -1, + -1, + 789744552, + 508012260, + 253531725, + -1, + -1, + 157176838, + -1, + -1, + 287448239, + 14121935, + -1, + 131439068, + 788236886, + 379110769, + 121547072, + 76112502, + 82526928, + -1, + -1, + -1, + 969714166, + 499980107, + -1, + 614059254, + -1, + 187578503, + -1, + 595206853, + 867619745, + 781518852, + 126889744, + 534717497, + -1, + -1, + 696959689, + 643205453, + 637520053, + 994207676, + 798349560, + 221406611, + 18975276, + 344962451, + 355125279, + -1, + 323520341, + 869782287, + 465787875, + 373764654, + 390553011, + -1, + -1, + 971260600, + 415133631, + 115774855, + 508693714, + 245386059, + -1, + 579275795, + 455651802, + -1, + -1, + -1, + 607950028, + -1, + -1, + 775574200, + -1, + -1, + 687543031, + -1, + 146673675, + 483324891, + 966592110, + 603416509, + 110994968, + 442585875, + -1, + 424203040, + -1, + 537272482, + 306548114, + 763091413, + -1, + 531121203, + 890793801, + 368936012, + -1, + -1, + 244299609, + 717103908, + -1, + -1, + -1, + 436217735, + 77284967, + 476964126, + 23142694, + -1, + 545411945, + 123323286, + 452354651, + 622140529, + 782294928, + 153523576, + 221742542, + 715339968, + -1, + 761200866, + 95389383, + 834100612, + 340653547, + -1, + 185935157, + 274658770, + -1, + 330653255, + 349970519, + -1, + -1, + -1, + -1, + 150652244, + 311097200, + 394832186, + 593724551, + -1, + 935012779, + 604889431, + -1, + 953408728, + -1, + -1, + 487827654, + -1, + -1, + 793123764, + 400222637, + 882946334, + 845465516, + 811851905, + 969040805, + 306779607, + -1, + 445817166, + 521411136, + 72934620, + 191215469, + 529819487, + 805130085, + -1, + -1, + 403302201, + 454308882, + -1, + -1, + 88257734, + 515703872, + -1, + 235903081, + 965842475, + 52432532, + -1, + 4535387, + 258126989, + 913390503, + -1, + 914992877, + 265295590, + 817196157, + 455488981, + 181798522, + -1, + 545938559, + -1, + 194733815, + 428615857, + 49072973, + 448778693, + -1, + 525688296, + 857560764, + 724099965, + -1, + 856505076, + 295003457, + -1, + -1, + -1, + -1, + 400903205, + 27931452, + 414867452, + 647825402, + 160538491, + 557167514, + 606586540, + 975194829, + -1, + -1, + 607148490, + -1, + 714874152, + 41032504, + 637257083, + 631672448, + 555355043, + -1, + -1, + 127392035, + 580652498, + 442350895, + 156540175, + -1, + -1, + 140988104, + -1, + 455124374, + -1, + 232931710, + 461902828, + 561597392, + -1, + 534591216, + -1, + 244205232, + 556030951, + 110281574, + -1, + 575818252, + 873531604, + 892156429, + -1, + -1, + -1, + -1, + -1, + 4972968, + -1, + 282042905, + 461549933, + -1, + -1, + 778666397, + 811058684, + 338142332, + -1, + 906450737, + 79264262, + 798026816, + 997181881, + -1, + -1, + 135346820, + 826648625, + 952705707, + 324209932, + 228005534, + -1, + -1, + 297661131, + -1, + -1, + 20841281, + 831816263, + 725040627, + -1, + 706788014, + 787000670, + 509545789, + 716303861, + -1, + 445836809, + 421505871, + -1, + 806970757, + -1, + 115602173, + -1, + 443410460, + 401011144, + -1, + -1, + 342278946, + 751543952, + 196310028, + 792475388, + 480481055, + 858558768, + 122791063, + 737098571, + 146076157, + 136430584, + -1, + 236891601, + -1, + 72150896, + 797610361, + 290305545, + 37685576, + 30411459, + 278126738, + 731349646, + 341275698, + 397499800, + -1, + -1, + 61793177, + 571976152, + -1, + -1, + 268812268, + 89783496, + 211043038, + 606190101, + 539117598, + -1, + 488929071, + 547547392, + 896164215, + -1, + 140834402, + -1, + 184037476, + 262411213, + 486373950, + 873945275, + 843170086, + -1, + 754968639, + -1, + -1, + -1, + 484705824, + -1, + 154966195, + 16891149, + -1, + -1, + 783621742, + 579771369, + 401087405, + 566009837, + 379737402, + 567318654, + 476427141, + 74470141, + 945906463, + 696617756, + 597045425, + 593260941, + 87759731, + 633578010, + 439022481, + -1, + 764809726, + 802305075, + -1, + 6880708, + 575062497, + 782418962, + 827603140, + 180252385, + 397359142, + 773129379, + 141893379, + 676608528, + 148482507, + 679408444, + 416982381, + -1, + 172665612, + 510126740, + 154309852, + -1, + 365761850, + 949463547, + 332260321, + 819625907, + 955877820, + 845493970, + 719620929, + -1, + 63986534, + 578697682, + 506282005, + -1, + -1, + -1, + -1, + 656829568, + 749555097, + -1, + 494386567, + 437783025, + 975151981, + -1, + 994221503, + 890179063, + 940076034, + 213058750, + -1, + 920199918, + -1, + 464385070, + 945316049, + -1, + 618441236, + 861641295, + 563816419, + 708849411, + -1, + 733730616, + 876606835, + 624805815, + 249026344, + 606395361, + 566127795, + -1, + 517951756, + 901903651, + 793706152, + -1, + -1, + -1, + -1, + 701892212, + -1, + -1, + 534153611, + 833399794, + 875137587, + -1, + 794605129, + -1, + 925534121, + -1, + -1, + 996811652, + 884480430, + 558181825, + 79144425, + -1, + -1, + 503945663, + 161361241, + 663550880, + 216372612, + 611796642, + -1, + 914463019, + 185938233, + 317570841, + 766959460, + 304205793, + -1, + 221047652, + 591676945, + 879929010, + 293841855, + -1, + -1, + 64592963, + -1, + 25721251, + 543263829, + 220028273, + 709202029, + 177111478, + 956750204, + 741826646, + -1, + 24460581, + 477395552, + 854555642, + -1, + 359882119, + 239177359, + 577195795, + -1, + 330132961, + -1, + 569573244, + 545963899, + -1, + 340978270, + 837325637, + 332078119, + -1, + 914466463, + 855993879, + 429010447, + 235034830, + 6310362, + -1, + -1, + -1, + 711064109, + -1, + 635389551, + 828015626, + 973870674, + 545823813, + 652192685, + 740486659, + 127837970, + 867710810, + 528368432, + 321400321, + -1, + 220533409, + -1, + 372685870, + -1, + 590106925, + 988023159, + -1, + -1, + 785433442, + -1, + -1, + 977118554, + 840647845, + 884058870, + -1, + -1, + -1, + 178030222, + 846861689, + 994446254, + 834256959, + -1, + 67947291, + 753549588, + 82360584, + 595052742, + 87958225, + 685873876, + 255485188, + 177529198, + -1, + 150922814, + -1, + -1, + 255786323, + -1, + 927178817, + -1, + 230764769, + 912091652, + 763745732, + -1, + 433752498, + 168424807, + -1, + 947258311, + 400390423, + 618590619, + -1, + -1, + 914197341, + -1, + 403490732, + 72456774, + 460424973, + -1, + 830973339, + 663277660, + -1, + -1, + -1, + 372588830, + -1, + -1, + 185458659, + -1, + -1, + -1, + -1, + 754572743, + 284459817, + 252617247, + -1, + 974658824, + -1, + 877116181, + 102112508, + 96030326, + -1, + -1, + 765539051, + -1, + 11070207, + 164446351, + 658365360, + -1, + 701127459, + -1, + 164433036, + 61377005, + 919306304, + 360133687, + 967826225, + 731304602, + -1, + 658561487, + 913417329, + -1, + -1, + -1, + -1, + 543991168, + 351692246, + -1, + 151931641, + 333011292, + -1, + 564287338, + -1, + 951484597, + -1, + -1, + -1, + 196837290, + 809147198, + 55439878, + -1, + 242656445, + -1, + 790259904, + 38207213, + 870262877, + 655151110, + 474940776, + -1, + 348256402, + -1, + 519907817, + -1, + 178226574, + 218848923, + 444453463, + 998355928, + -1, + 423966636, + 344247359, + 479697662, + -1, + -1, + 647504394, + 404864391, + 619739338, + 547585285, + -1, + -1, + -1, + -1, + -1, + -1, + 854919648, + -1, + 751781502, + -1, + 225452385, + 864423192, + 23458162, + 283247883, + -1, + -1, + -1, + -1, + 517129871, + 940202349, + -1, + -1, + 26737112, + 444163373, + 18183489, + 56164056, + 13581006, + 661893759, + -1, + -1, + -1, + 632965659, + -1, + 855423791, + 281775856, + 986295274, + -1, + 305610532, + -1, + 306940923, + 579065412, + 371577551, + 637350303, + 766796123, + 628161033, + -1, + -1, + 152554974, + 592953486, + 658644134, + 358301847, + 738124051, + -1, + 304828282, + 567446118, + 47114315, + 241265944, + 117525629, + 773572477, + -1, + -1, + 664624628, + -1, + 962834403, + 183832717, + 230937547, + 380919565, + 489776875, + 87212762, + 765076035, + 95190444, + 573246940, + -1, + 252720914, + 87381751, + 343117042, + -1, + 955121156, + 442923147, + -1, + -1, + 219093478, + 107671021, + 590973540, + 958386381, + 514206463, + 981335077, + 139046515, + 69491460, + 697285592, + -1, + 910944316, + 224314840, + 270590399, + 911786378, + -1, + 589028755, + -1, + 950517210, + 563377367, + 597291962, + 154720899, + -1, + -1, + -1, + 697288361, + -1, + -1, + 747900670, + 150345581, + 481402912, + 275375530, + 599217624, + 908368255, + -1, + -1, + 431371863, + 252060279, + 877008136, + 443979534, + 584679156, + -1, + 235959469, + 730190544, + 287701944, + 886113210, + 663910242, + -1, + 862693717, + 176544613, + 768927730, + -1, + 919459812, + 697604631, + 776626473, + 130558862, + -1, + 723872303, + 295839906, + 666398510, + 103077501, + 795649893, + 193488583, + -1, + 299669541, + 570873679, + -1, + 298003382, + 379532777, + 721653743, + -1, + 498741543, + 276320357, + 466923820, + 349630100, + 390220906, + 613360913, + 677217365, + 410874226, + 121614047, + 771695995, + 106019725, + 52469243, + -1, + 68597930, + 983855798, + -1, + 643796750, + 625455763, + 144651175, + 22148545, + 224228138, + -1, + 530840382, + -1, + -1, + 79599078, + 524025279, + -1, + 844134600, + 649103255, + -1, + 101879427, + 136201663, + 406025921, + 299539204, + 372278303, + 327410097, + 193578283, + 859155700, + -1, + 17671062, + -1, + 773242236, + 263952895, + 893347845, + 820154762, + 36148377, + 501817979, + -1, + 552606213, + 296155002, + 185508371, + 866717094, + -1, + 453494696, + 184270662, + 594983747, + -1, + 97060621, + 119776962, + 221781936, + 652027212, + 317440802, + 885531304, + 286399607, + -1, + -1, + 143530275, + 592544306, + -1, + -1, + 714803416, + -1, + -1, + 734964235, + -1, + 539510310, + 779914295, + 430510835, + 634719392, + 58456380, + 47079620, + -1, + 267072647, + 389468145, + 982098055, + 284786832, + -1, + 19461430, + 653472911, + -1, + -1, + 580085454, + 39632486, + 533640165, + 997964362, + 938694963, + 504114817, + -1, + 702707885, + 961545827, + 431810528, + 33632202, + -1, + 346005229, + 437347244, + 700740789, + 727249049, + 38259444, + 840442607, + -1, + 28029516, + 454629428, + 678270812, + 394488543, + 550934640, + 745317511, + 942929880, + 358289064, + 589404619, + 409562953, + 999472870, + 197682096, + 403886638, + 722910833, + 349192208, + 148055697, + 289845622, + 95149221, + -1, + -1, + 448120122, + -1, + -1, + -1, + 20114499, + -1, + 724196169, + 360138675, + 584649526, + -1, + 229609058, + 716847718, + 380604301, + -1, + 450942589, + 343464262, + -1, + -1, + 114062829, + 425341902, + 754139979, + 710148508, + 833137466, + 428254050, + 286754324, + 86267350, + -1, + 29218734, + 597356932, + 940462108, + 467610974, + 442988538, + -1, + -1, + 938757482, + 877824592, + -1, + -1, + 735875944, + 409060695, + -1, + -1, + 565954012, + 235628961, + 702168058, + 416953391, + 976477562, + 867923041, + 626766659, + 127477195, + 459007052, + -1, + 247765428, + 346423755, + 539620120, + 603006587, + 387279142, + 115407303, + 233409817, + 234874072, + -1, + 345109485, + 628606041, + 250298291, + 838540955, + 120173771, + 445767364, + -1, + 882972406, + -1, + 600691251, + -1, + 695850210, + 261861728, + -1, + -1, + 756746333, + 822702784, + -1, + 349671938, + 815779817, + 119900758, + 51016325, + 793093881, + -1, + 900754224, + 626966322, + 673417490, + -1, + 365921852, + 730662947, + 84687956, + -1, + 486406940, + 787969402, + 132254684, + 860811716, + -1, + 822851729, + 516463944, + -1, + 141978194, + 447633581, + 578565773, + -1, + -1, + 352486929, + 765645261, + -1, + -1, + 732022051, + -1, + 17602051, + -1, + 429672818, + -1, + 731161529, + 349458405, + 863898518, + -1, + 899071457, + 353914723, + 937985681, + -1, + -1, + 437999607, + 444345302, + 487431242, + 416235936, + 169070507, + 917716733, + 860193870, + -1, + 64258855, + 52407352, + 763280375, + 909647463, + 68147280, + -1, + -1, + 734448390, + 277306170, + 58605798, + 163519354, + 471166152, + 60366876, + 134104104, + 815516137, + -1, + -1, + 334735963, + 415157167, + 779427421, + 849512083, + 957073336, + 817050682, + 459670068, + 909872406, + 244436375, + 247928815, + -1, + 872426488, + -1, + -1, + 431740987, + 767942005, + 135082390, + 123615956, + 899534311, + 509936933, + 536202976, + 987861688, + 491268776, + -1, + -1, + -1, + 905830321, + 705827701, + 220873934, + -1, + 710483160, + -1, + 368527905, + -1, + -1, + -1, + -1, + 250017508, + 441165173, + -1, + -1, + -1, + 358111446, + 174197542, + 863111962, + 81619139, + 403726138, + 753459038, + 254327746, + 182783415, + -1, + 379485296, + -1, + 190435171, + 373607090, + -1, + -1, + 998102432, + -1, + -1, + 276901506, + 956314186, + -1, + 897208510, + 570183169, + 677157214, + 229487251, + 636296475, + 30949494, + 517674006, + 79625477, + 753397358, + -1, + 972240312, + 634344151, + 153432816, + 988416269, + 674752561, + -1, + 323797856, + -1, + -1, + 886100858, + 887186661, + 989494140, + 287718749, + 582289363, + 570805731, + 144836185, + 175484267, + -1, + -1, + -1, + 592360684, + 60066032, + 433543205, + 879675814, + -1, + 655714737, + 797315555, + 445248908, + 60728721, + 754988148, + -1, + -1, + -1, + 721450484, + 635016350, + -1, + 794189283, + 952636205, + -1, + 783124689, + -1, + -1, + 210721965, + 833035827, + -1, + -1, + 455688277, + -1, + -1, + -1, + -1, + 905463804, + -1, + -1, + 60687853, + 211881197, + -1, + 557704754, + 109729815, + 46815846, + -1, + 194384391, + 282121616, + 549257144, + 692755803, + -1, + 411367508, + -1, + 464504880, + -1, + -1, + -1, + 168263274, + 722248931, + 325244414, + 287510524, + 901071023, + 268865106, + 686002469, + -1, + 749343959, + 457270177, + 646440882, + -1, + 220577698, + 414107624, + 166416856, + -1, + 438685500, + 279016196, + 809704368, + -1, + 399609231, + -1, + -1, + 78499158, + 857421368, + 567950995, + -1, + 990701143, + 354145936, + 591873392, + 923276960, + 129879295, + -1, + 238920795, + 639203404, + -1, + -1, + 921212910, + 638246975, + 706937772, + 900097702, + 4105357, + -1, + -1, + 521610142, + 185465645, + -1, + 115749747, + 597804335, + -1, + 495151339, + 316289108, + 925024406, + 927272689, + 856214341, + 838932968, + -1, + 173102554, + 710162744, + -1, + 944129972, + 814133467, + -1, + 601284257, + -1, + 209153160, + -1, + -1, + -1, + 688372877, + -1, + 879406650, + -1, + 686486584, + 195849846, + -1, + -1, + 927376801, + 386221292, + -1, + 118848927, + 149954755, + 896737635, + 773877963, + 481022103, + 188799772, + 323297134, + 180081664, + 113555814, + -1, + 124709774, + -1, + 997292422, + -1, + 557392510, + -1, + 871369971, + 517639603, + 704307466, + 573613531, + 572048797, + 501812941, + 401642346, + 659692315, + 298680868, + 533596169, + 687532375, + -1, + 687457632, + -1, + -1, + 631096891, + 208596102, + -1, + 207885328, + 590984406, + -1, + -1, + 174544104, + 139219791, + 580109452, + 44912421, + 258113092, + 84726326, + 890077411, + 224126732, + 292130555, + -1, + 972001541, + 736994535, + 351773530, + 759019828, + 705590823, + -1, + -1, + -1, + 414310044, + 534213558, + 879952561, + 391554570, + -1, + -1, + 401823070, + 163462272, + -1, + -1, + 768790782, + -1, + -1, + -1, + -1, + 211434530, + 11802695, + 57600403, + 510734733, + 911501604, + 229280561, + -1, + -1, + 23063408, + 240680132, + 805649294, + 296620167, + 547491221, + 212206273, + 768462325, + 261197204, + 16298278, + 871696534, + -1, + 840833298, + -1, + 856910729, + 239197504, + -1, + -1, + -1, + -1, + 135704086, + 840224366, + 296942439, + 706913683, + 317093950, + -1, + 294320272, + 186063724, + 940744835, + 733359096, + -1, + -1, + 588611868, + 732511006, + 838433695, + 431964492, + 152114383, + 262457721, + 937201316, + 731407429, + 190598580, + 31486043, + -1, + 331610484, + 838669387, + 158680019, + 101601002, + 288197424, + -1, + 944518625, + 6184753, + 121322939, + 712549788, + 883592328, + 904434238, + 964709640, + -1, + 338487050, + 570501244, + 88824784, + -1, + 108401189, + 882357707, + 4471, + 392316783, + -1, + 372216768, + 801883031, + 409829614, + -1, + -1, + 895347255, + 823667333, + -1, + -1, + 769900545, + -1, + -1, + -1, + -1, + 982856186, + -1, + 61983302, + 229573947, + 859308281, + 188482345, + 93782702, + 268144633, + 36161986, + 767490743, + 645675782, + 476851331, + -1, + 45811852, + 146830603, + -1, + -1, + 334415323, + 17519004, + -1, + 877872198, + -1, + -1, + -1, + 352388602, + -1, + 659982293, + -1, + 888190487, + 327659970, + 243657167, + 84152109, + -1, + 651709618, + 139842727, + 324961151, + 343805957, + 993595765, + -1, + 896752492, + 286382109, + 799143204, + -1, + 934973182, + 340605083, + 422519630, + -1, + 810307019, + 227181742, + 636010376, + 482127698, + 923551535, + 465763821, + 121507611, + 956377072, + 877688365, + 49126363, + 664844297, + -1, + 427913283, + 421485094, + -1, + -1, + 145621301, + 676429726, + -1, + -1, + 368343962, + 521391374, + 694895390, + 876891042, + 214149915, + 568690244, + 59666033, + -1, + 44944574, + 806989538, + -1, + 880976856, + -1, + 560222882, + -1, + 678929458, + -1, + 681801551, + 419173545, + -1, + 638319349, + -1, + 659560724, + 700688176, + 138955442, + 999459926, + 868819319, + 83499979, + 755270723, + 430682761, + 304743272, + 627075514, + 697540912, + 603343700, + 845963378, + -1, + 450240241, + -1, + -1, + 775934092, + 327487813, + 430667198, + 348708211, + 686144164, + 471574703, + 356549322, + -1, + 556812143, + 461954058, + 524190818, + -1, + 43664833, + -1, + -1, + -1, + 408749521, + 288305391, + 834680009, + -1, + 780962966, + -1, + 634140207, + 352457774, + 152260111, + -1, + -1, + 183100663, + -1, + 62103998, + 735954262, + 841743382, + -1, + -1, + 399721767, + -1, + 363415041, + 659142191, + 887255371, + 638476131, + -1, + 829970596, + 495426638, + -1, + 263878819, + 26256958, + -1, + 961780942, + -1, + -1, + 874245411, + -1, + 872759710, + -1, + -1, + 822545448, + -1, + -1, + 879037813, + 301753441, + 821972310, + 446347072, + -1, + -1, + -1, + 763222143, + 772378397, + 382742860, + 99169101, + 271732991, + -1, + -1, + 936330800, + -1, + 268644356, + -1, + 979144874, + 248643388, + 564797261, + 235761340, + 595157178, + 856011801, + -1, + 103075301, + 462104383, + 921897252, + 755351965, + 938503753, + 3318497, + 265527948, + -1, + 78992868, + 15332063, + 610347027, + -1, + 643671803, + 655569991, + 814426437, + 797578991, + 158319917, + 595789812, + -1, + 801769810, + 268078109, + -1, + -1, + -1, + 84031725, + 507943646, + -1, + 948301412, + -1, + -1, + 173342629, + 16657881, + 333215206, + 233866643, + -1, + 563981898, + 44461761, + 289711107, + -1, + 865909654, + -1, + 540536516, + -1, + -1, + 200154726, + 892487746, + -1, + -1, + 857152709, + -1, + -1, + -1, + 612196922, + -1, + 747240095, + 802612885, + 674756410, + -1, + 742927253, + 711887577, + 476240047, + 540468798, + 329438545, + 265058358, + -1, + 242810908, + 898551980, + 890049364, + -1, + 220363714, + 615157294, + 803722074, + 977074245, + 347533661, + 156544452, + 959974935, + 417013284, + 278738004, + 493988634, + -1, + 398202377, + 271362477, + 399219396, + 382650670, + -1, + 150313430, + 216675817, + 884514551, + 490578068, + 751692853, + 901373443, + -1, + -1, + -1, + -1, + 560715070, + -1, + 739488186, + 485978752, + 23637687, + 76573810, + 634744268, + 205256657, + 252916552, + 693754491, + -1, + 108456430, + -1, + 972933044, + 91878313, + 261082556, + 537201373, + 237604671, + -1, + 597650536, + 130208839, + 997774644, + 218847114, + -1, + 475826379, + 499940700, + 835036729, + 463918474, + 360996698, + 421023754, + 122677567, + -1, + -1, + 472121712, + 429411680, + -1, + 987745964, + 932962433, + 521303473, + 788128634, + 931482634, + 398257929, + -1, + -1, + -1, + -1, + 254994737, + 385796173, + 4049427, + 463512916, + 893572453, + 314184942, + 919577972, + 465498394, + 694646879, + -1, + -1, + 361757824, + -1, + 382364514, + 648305242, + 774378250, + -1, + 10475610, + 898765677, + -1, + 196077894, + 53108236, + 343940910, + 806825406, + 866969568, + -1, + -1, + -1, + 693472176, + 371565218, + 827823123, + -1, + -1, + 590245721, + 240683434, + 217777228, + -1, + 630952094, + 721070347, + -1, + 678916226, + -1, + -1, + 33491709, + -1, + 541509552, + -1, + 988393846, + -1, + -1, + 950061132, + 922818375, + -1, + 27082648, + 361501717, + 897014440, + -1, + -1, + 70888802, + 714440778, + 731273639, + -1, + 370916092, + 92711809, + 311420464, + 693691664, + 934524521, + -1, + -1, + -1, + 954598126, + 981570118, + -1, + -1, + 596835233, + 430581422, + 942982593, + -1, + 448356644, + 597665227, + -1, + 866144780, + 345549440, + 243538847, + 72456928, + 53479445, + -1, + 938744790, + -1, + 740372780, + 526908342, + 760585673, + 563068763, + 435899516, + 882388915, + -1, + 657010665, + -1, + 345500689, + 569395461, + 822132162, + -1, + 600667829, + 995244635, + 460185844, + 398694569, + -1, + -1, + 946197078, + 991020931, + 165549725, + -1, + 760933107, + -1, + 240785125, + -1, + -1, + -1, + 550853152, + 21111259, + 529535975, + -1, + 265152120, + 187950449, + -1, + -1, + 716197942, + 280328669, + 800808483, + -1, + 993287630, + -1, + 121647348, + 386077508, + 428823733, + 186099443, + -1, + 545537454, + 48707908, + 164825860, + 502055988, + 419732201, + 299507841, + -1, + 775024575, + 151311299, + 386939119, + 454804334, + 891180722, + 865705396, + 894016507, + 583335614, + 340209989, + 874565325, + 372908700, + 989060763, + 433851954, + 534228658, + 580622531, + -1, + 705103312, + 360514499, + 795305879, + -1, + -1, + -1, + 845630379, + -1, + 824125703, + -1, + 579205546, + 627811250, + 841384240, + 778093522, + 64807538, + -1, + 419083128, + 326084399, + 598670901, + 241969631, + -1, + 643318582, + -1, + -1, + 541651739, + -1, + 225163538, + 900343541, + -1, + -1, + 479129846, + 662445417, + 670858545, + 557410145, + -1, + 574493301, + 22825741, + -1, + 587297242, + 778373161, + 448671870, + 62558639, + -1, + -1, + 239827303, + 143308058, + 828524832, + 495010634, + 710801766, + 702953180, + 764600247, + 899184703, + 359838659, + 123614369, + -1, + -1, + 662138348, + 454158925, + 807758285, + -1, + 697991324, + 932015551, + 323201441, + 820131574, + -1, + -1, + 938509458, + -1, + 592867374, + 998096991, + 141690691, + 452279072, + 925481752, + 655888798, + -1, + 76072700, + 615600324, + 803717219, + 473917791, + -1, + 566340433, + 141767517, + 488756524, + -1, + 512915445, + 288522365, + 538169353, + 22778247, + 994363256, + 226568155, + 392531345, + 154384365, + 897939025, + -1, + -1, + -1, + 209338, + 969696998, + 259293046, + 17233557, + 535012525, + 325157629, + -1, + 891153517, + 58785539, + -1, + 291603762, + 166172251, + 928688840, + 188926582, + -1, + 641735025, + 331171805, + 266223770, + 486904219, + 587905654, + 165102632, + 223830190, + -1, + 886296517, + -1, + 220605460, + -1, + 64954079, + -1, + 634879576, + -1, + 128203445, + 103482398, + 693883262, + -1, + 323566713, + -1, + 33323581, + 96794577, + -1, + -1, + -1, + 357057246, + -1, + 54893915, + 926055882, + 446234472, + 292261263, + 637239659, + -1, + -1, + 853468766, + 160189183, + 769082820, + -1, + -1, + 329471883, + 491950502, + 744323361, + -1, + 241819030, + 581608086, + 817169396, + 432002794, + 396733282, + 579299141, + 550648480, + 221195913, + 639670297, + -1, + -1, + -1, + 865926713, + 126222748, + -1, + 756654773, + 204252023, + 865024477, + 876830629, + 333582167, + 484793015, + 808955598, + 632381636, + 44384806, + -1, + -1, + -1, + -1, + 667264209, + -1, + 978899466, + 594648309, + 567042656, + -1, + 704744323, + -1, + 635808555, + 647853006, + -1, + 225812397, + 53405398, + -1, + 97764132, + 473694500, + 972153046, + -1, + 867361640, + -1, + -1, + -1, + 45808439, + 174987845, + 947931143, + 428509496, + -1, + 907294880, + 725521475, + 789620921, + 803918854, + -1, + -1, + -1, + 300502734, + 544090956, + 590921643, + 688801885, + 773556352, + 743212676, + 310573290, + -1, + -1, + 385826467, + -1, + 198968220, + 2895824, + 125213792, + -1, + 564054423, + 311971000, + -1, + 358655032, + 197420818, + 551332135, + -1, + 472161802, + 911448591, + 520591547, + 622235835, + 835706253, + 41269925, + -1, + -1, + 81505853, + 402465728, + 673330985, + 7182579, + 213269385, + 429797363, + -1, + 690624207, + 372827796, + 244672999, + 730479661, + 978331759, + 778022848, + 166918643, + 376222720, + -1, + 356299348, + 931957840, + 512092128, + -1, + -1, + 81222757, + -1, + 604337380, + 594853665, + 237543311, + -1, + -1, + 740955553, + 142883201, + 612113612, + 784564548, + 917443859, + 125151834, + -1, + -1, + -1, + -1, + 807776501, + -1, + 622160061, + 246748729, + -1, + 782182087, + 24028393, + 572609626, + -1, + 745933300, + 705829585, + 243204957, + -1, + 720883489, + 918699111, + -1, + -1, + -1, + -1, + 371600176, + 361824319, + 79094075, + 837626613, + -1, + 492705614, + 262762701, + 177339110, + 699712563, + -1, + 750014457, + 15533253, + 482371723, + 652093859, + 747124185, + 856575761, + 562609712, + 556708522, + 846142187, + 784071347, + 880737596, + 336846410, + 300833487, + 524789451, + -1, + 743101973, + -1, + -1, + 94813131, + 957243977, + -1, + 888932889, + 724286079, + 46366301, + 118015823, + -1, + 248539384, + -1, + -1, + 317648191, + 149495577, + 923218820, + -1, + 996028898, + 750637235, + -1, + -1, + -1, + -1, + -1, + 827046836, + 201849734, + 964887401, + -1, + -1, + -1, + 253926065, + -1, + 756464183, + -1, + 536020637, + 428246740, + 172253504, + 743609973, + -1, + -1, + 352863751, + 795976400, + 362007922, + 256631148, + 883608452, + -1, + 167161097, + 965037321, + -1, + -1, + 262830153, + -1, + 398164493, + -1, + 850268775, + 515636501, + 914460059, + -1, + 771855382, + 209673010, + -1, + 402176910, + 556412552, + 985572927, + 547113422, + 721035550, + 906839460, + 324026903, + 561165642, + 673566798, + 187145108, + -1, + 23945611, + 278151973, + 463323515, + 548683714, + -1, + 865887255, + -1, + 501566018, + 510534010, + 229240767, + -1, + 448435497, + 269897417, + 515624244, + 511736639, + -1, + -1, + 360595364, + 891762487, + 852904501, + 538209826, + 175357546, + -1, + 390392575, + 252391333, + 264765800, + 701966949, + 985543798, + -1, + 45207680, + -1, + -1, + -1, + -1, + 141082329, + 466278060, + 42242278, + 405020597, + 611852785, + 143285899, + 99535294, + -1, + -1, + 70371036, + 420232516, + 56829455, + -1, + 676664108, + 776960214, + 747577245, + 754238949, + 336027924, + 13791118, + 138039482, + -1, + 693243376, + -1, + 112529711, + 31025829, + 166598856, + -1, + 164882209, + -1, + 329897462, + 904876714, + -1, + 284112015, + -1, + 819526741, + 595100478, + 466234, + 216283338, + 627002620, + -1, + -1, + 934740954, + -1, + -1, + 339185761, + 895738374, + -1, + -1, + 875537049, + 329019505, + -1, + 945342817, + 481773022, + 952900778, + 495068165, + -1, + -1, + -1, + 131905927, + -1, + 544703582, + 131713720, + -1, + -1, + 84739710, + 487431138, + -1, + 854678337, + 161349894, + 435828937, + -1, + 759705535, + 25185437, + -1, + -1, + -1, + -1, + 575508728, + 245177767, + 525945078, + 536265471, + -1, + 914925797, + 192751466, + -1, + 620225952, + -1, + 857049655, + 231717950, + 169293685, + 191515010, + 575861325, + 756846859, + 464685886, + -1, + 559806353, + 567286743, + 558903236, + -1, + -1, + 191654232, + 320702270, + -1, + -1, + -1, + -1, + 843097334, + 175876148, + -1, + 434115072, + 939228410, + 603987812, + 938598394, + -1, + -1, + 375124618, + -1, + 852650874, + 406776891, + 494246956, + 368675154, + -1, + 744070457, + -1, + -1, + 733008318, + -1, + 839730557, + -1, + 498724759, + 583479038, + 240015284, + 821983929, + -1, + 365015189, + 3678874, + 721924711, + -1, + 656382059, + 716683340, + 959266539, + 989887714, + 932176682, + 145919388, + -1, + 211725709, + 342032672, + 639139054, + 910355895, + 44764036, + 393764203, + 99101673, + 761985919, + 949014474, + 586445119, + 959335637, + 332351815, + 580607402, + 675084865, + -1, + -1, + 480054839, + 111572361, + 664271004, + 632365156, + -1, + 420008798, + 829738396, + 932404874, + 135536883, + -1, + 494673101, + -1, + 312578047, + 517209501, + 968990105, + -1, + 833258691, + 19043665, + 196786548, + 687652704, + 81181472, + -1, + 383158932, + 567764728, + 116430642, + -1, + 647702539, + 851229436, + 170698418, + 616259188, + 223889068, + 506365703, + 408733254, + 670171809, + 586352463, + 806604765, + -1, + 498702682, + 150933426, + 840176337, + 808863921, + 80657514, + 493496846, + -1, + 97883052, + 155863486, + 734261092, + -1, + 86337367, + -1, + 290495440, + 387221197, + 936872474, + 624104480, + 459733352, + -1, + 894246668, + -1, + 857623208, + 384987674, + 706896155, + 439188261, + 625694535, + 758952300, + 53747934, + -1, + 67959642, + -1, + 943243636, + 782345921, + 504454999, + 138584754, + -1, + 730182769, + -1, + 813055497, + 575423855, + 820884772, + 249094939, + 418294987, + 841757396, + 972276708, + 133555458, + -1, + 302598878, + 652425775, + 774011766, + 71455880, + 236138876, + 163686526, + -1, + -1, + 60504394, + 60462915, + -1, + 884356206, + 166310577, + 318797494, + 788671440, + -1, + -1, + -1, + -1, + 154279857, + -1, + 581590634, + 411568436, + 284931141, + 801898964, + -1, + 55603354, + 457748066, + 120407011, + -1, + 415694100, + 984124940, + 143321207, + 988749891, + 209401744, + -1, + 379475238, + 528063860, + 134384315, + 302113482, + -1, + 524248269, + 878741687, + 603875819, + -1, + 410055043, + 549409911, + 778817429, + 414274408, + 453055482, + -1, + -1, + -1, + 731984899, + 455724197, + 338600117, + 726309013, + 926872420, + 956313677, + -1, + 780127304, + -1, + 331201960, + 491236698, + 445680688, + 396254458, + 190420069, + 60859336, + 245806375, + -1, + 965543724, + -1, + 680892157, + -1, + 770485048, + -1, + -1, + -1, + 275645137, + 578314298, + 867804707, + 557516140, + -1, + 471134402, + 286098922, + -1, + -1, + -1, + 951616076, + 116211590, + 517452476, + -1, + 411765481, + 880890047, + 191439381, + 291467313, + -1, + -1, + -1, + 646430363, + 79700859, + 436607389, + 686741919, + 735916556, + -1, + 963815737, + 337279648, + -1, + 603142519, + 389782652, + 621581558, + 436396781, + 632321985, + 48670336, + 774354569, + 277687201, + 331719406, + -1, + -1, + 735628834, + 137565670, + -1, + -1, + 830891158, + 505425756, + 30112287, + 126306372, + 427668072, + -1, + 631554810, + -1, + -1, + 750079265, + -1, + -1, + 385217695, + 455020310, + -1, + 238526352, + -1, + 913571430, + 465335584, + -1, + -1, + -1, + -1, + 701406933, + 421057982, + 768015165, + -1, + 576982900, + 229348438, + 741077216, + 203191159, + -1, + 150991075, + 132013838, + -1, + 334447242, + 897237644, + -1, + 806963582, + -1, + -1, + 739812486, + -1, + 177648268, + 805052780, + 261488742, + -1, + 564555386, + 393759504, + 680658955, + 805469747, + -1, + 936242562, + 438560861, + 689905949, + 678104402, + 926435462, + -1, + 330906863, + 913322366, + 940774803, + 188249278, + 601496279, + 304353368, + -1, + 491070008, + 968181473, + 584911259, + 722674727, + 298252654, + 109591238, + 52923225, + -1, + -1, + -1, + -1, + 328266235, + 319820249, + 67999660, + 481404197, + 822133431, + 975554230, + -1, + 803223672, + 906285306, + 881597108, + 332571427, + 789708797, + 178340955, + 11679895, + 10622164, + 963791956, + 407117644, + 315743137, + -1, + 938852555, + 811309666, + -1, + 753782045, + 573536847, + 40033016, + -1, + 283671885, + -1, + 669002447, + 233337897, + 100395284, + 548718545, + 945361342, + 206508102, + 194124118, + 732138499, + -1, + 389219005, + 31327578, + 948074437, + 102130883, + 273363378, + 614709167, + 714720604, + -1, + -1, + 4493182, + 141183588, + 461232898, + 130604997, + 791832780, + 143459723, + -1, + 527710383, + 406452997, + 272340197, + -1, + -1, + 996586717, + -1, + 276182919, + 268498365, + 891143464, + 924023459, + 713140820, + 476643841, + -1, + 881136198, + 326083630, + 105850571, + 165043836, + 743110385, + 457989487, + 107792561, + -1, + 557186873, + 62595804, + 945431387, + 706539541, + 265844158, + 14024133, + 322617144, + 535340279, + 709578867, + 814075288, + -1, + 358317757, + 379467560, + 976674606, + 386489723, + 123783190, + 201015227, + 738389551, + 366878655, + 532693088, + 371358788, + 987450815, + -1, + -1, + 549456920, + 873974783, + 189209109, + 418051811, + 79679845, + 713360241, + -1, + -1, + -1, + 743698894, + -1, + 558803469, + -1, + -1, + 483637455, + 218760199, + 909254037, + 377808140, + 245571035, + 469537822, + -1, + -1, + 786811959, + 498200371, + 786157201, + -1, + -1, + 510915723, + 22842738, + 88682336, + 497753484, + 481874860, + 102664134, + 119080741, + 253946406, + 820592774, + 728473108, + 227260609, + -1, + 168502888, + 699445908, + 229474404, + -1, + -1, + 905937284, + -1, + 109637933, + 611170586, + 743137590, + -1, + -1, + 295631982, + 379746646, + 580736268, + -1, + 927689566, + 880985504, + -1, + 369767153, + 770719554, + 519084129, + -1, + 892209494, + -1, + 941651027, + -1, + 611815557, + 479411588, + 749247350, + 970466452, + 872459898, + 924683409, + 29081957, + 2305243, + -1, + 718735618, + 201747568, + 110057810, + 241291012, + 686884570, + 685458992, + -1, + -1, + -1, + 201453072, + 336613469, + 866961262, + 990082693, + 193538256, + -1, + -1, + 540834216, + -1, + 994946171, + 252021553, + -1, + 855046285, + 858424891, + 125197411, + -1, + 876369224, + 82740126, + -1, + 931628018, + -1, + 71286885, + 677699112, + 508317594, + 281914887, + -1, + -1, + 144287396, + 941912340, + 165708104, + 881486163, + 308140924, + 445044854, + 865295584, + -1, + 656210156, + 350855860, + -1, + 728737622, + 322647573, + 300977143, + -1, + 873413965, + 224503436, + 52925188, + 408853591, + 487754962, + 647937652, + 730968469, + 883318722, + -1, + -1, + 661028275, + 698143208, + -1, + 64221882, + -1, + -1, + 569770839, + 622784037, + -1, + 768170064, + -1, + 610736858, + 950124547, + -1, + 144592375, + 489191239, + 184277692, + 206880859, + 232282310, + 768334651, + 323243314, + 907821790, + 791941698, + 312070515, + 385531493, + 24188411, + 232730390, + 331696831, + 268412794, + 239205092, + -1, + -1, + 290790898, + 60326790, + -1, + 970519762, + -1, + 723407098, + -1, + 828621484, + 500669954, + 711969433, + 416492880, + 281081371, + 789285896, + 561514581, + 37238095, + 7715167, + 24164123, + 435960549, + 405154621, + 470185388, + 339421393, + 8420561, + -1, + 742298817, + 818412627, + -1, + 860098224, + -1, + 535756489, + -1, + -1, + 662478206, + 268870000, + 866776173, + 121205291, + -1, + 762181656, + 973673031, + 231519074, + 367300275, + 487278361, + -1, + 59977381, + -1, + -1, + 235456974, + -1, + -1, + 950881675, + -1, + -1, + 132390839, + 655202034, + -1, + 493395426, + -1, + 5212773, + -1, + 833259000, + 708576386, + 153055788, + -1, + 52665972, + 868786933, + 283333219, + -1, + -1, + 4043824, + -1, + 40493859, + 371049947, + -1, + -1, + 788288043, + -1, + -1, + -1, + 441131152, + 418046305, + 69020760, + 525957337, + -1, + 560745866, + 88962166, + 293825882, + -1, + 964144838, + 103553432, + 239419913, + 318790874, + -1, + 858716046, + -1, + 11894590, + 879533048, + 317309156, + -1, + -1, + -1, + -1, + -1, + 839409976, + -1, + 981601415, + 734660871, + -1, + 181740561, + 127268161, + 876958780, + 693230286, + -1, + -1, + 738385064, + 991929917, + 272846104, + -1, + 849243779, + -1, + 455945440, + 582613543, + 737087007, + 993734976, + 802718430, + -1, + 52207934, + 453681385, + -1, + -1, + -1, + 933028761, + -1, + 201080302, + 270281990, + -1, + 287068864, + -1, + 684205900, + -1, + -1, + 117078394, + 892128055, + 134721991, + 412319117, + 765447973, + 718091847, + -1, + -1, + -1, + 497564265, + 466525984, + -1, + -1, + 519131889, + -1, + 441574258, + 909738731, + 803246653, + 973978021, + -1, + 942624766, + 699700430, + 194005941, + 323054115, + 198732155, + 631850666, + 783394304, + 436807906, + 464437806, + 687934153, + 11458123, + 354145892, + 232308769, + 163987215, + -1, + -1, + 486958062, + -1, + 754185788, + 498716901, + 741433541, + 775718523, + 168612539, + 5460488, + 138464856, + 399997983, + 966502853, + -1, + -1, + 57837758, + 636214303, + 212407209, + -1, + 695683641, + 344731158, + 594663463, + 910520170, + 148623683, + 760894847, + 207439922, + -1, + 254900060, + 783139934, + -1, + 808200428, + 984506560, + 10567803, + 994996217, + 986692136, + 635640317, + 657340212, + 735965252, + 340708155, + 946198973, + 354283273, + 781859399, + -1, + 500417711, + -1, + 990061957, + -1, + -1, + -1, + 458583618, + 887361564, + -1, + 43391415, + -1, + 110393841, + -1, + 26259071, + 27538698, + 710906696, + -1, + 304270135, + 359004916, + 146714774, + 368683119, + 836253657, + 543153818, + 153928960, + -1, + -1, + 873549344, + -1, + 505687008, + -1, + 657716342, + 85630033, + 749487667, + 779541536, + 971563016, + -1, + 145260427, + -1, + -1, + 646667503, + -1, + 954384953, + 412119669, + -1, + 253009215, + -1, + -1, + -1, + 822181883, + -1, + 70905812, + 791271078, + 10588966, + 849824395, + 594650689, + 45613602, + 784170110, + 660042547, + 251101457, + -1, + 507138433, + 67052526, + 894015405, + -1, + 791803903, + -1, + -1, + 552858809, + 926663768, + 15349814, + 677382824, + 201481862, + 491992853, + 976586605, + 360974573, + -1, + 894349899, + -1, + 140437347, + 707385168, + -1, + 502916300, + 176171654, + -1, + 523092876, + -1, + 835175221, + 156256443, + -1, + 571475997, + -1, + -1, + 939039229, + -1, + -1, + 861131741, + 912543013, + -1, + 992058918, + 116531087, + 562275768, + 979101214, + -1, + 362600673, + 952265943, + 247332588, + 758378711, + -1, + 458658646, + 724211234, + 248894561, + -1, + -1, + 54987262, + 461521300, + -1, + 526679478, + 848319037, + 904031664, + 298783037, + 293393406, + 314118854, + -1, + 171880378, + 780011900, + 243392194, + 78510677, + -1, + -1, + 81715407, + -1, + 569442435, + 332952368, + 561331875, + 567853485, + 425487649, + 162920571, + 139621369, + 903829142, + 955998889, + 110941179, + 399054384, + -1, + 856423171, + 386456531, + -1, + -1, + -1, + -1, + 416019193, + 816354510, + 967864851, + 343615859, + 647842797, + -1, + 78734356, + -1, + -1, + 863204117, + -1, + 504371248, + 927127313, + 763520820, + 368520228, + -1, + 447051791, + 167562144, + 961172175, + 660266315, + 378766774, + 984686105, + 878309231, + 673486695, + 887670454, + 259711533, + 239240902, + 193636229, + 386263615, + -1, + 817884804, + 833861548, + 739135938, + -1, + 532550410, + 535692263, + -1, + -1, + 562721197, + 943761355, + 636562186, + 655290219, + 283493716, + 842252875, + 582831547, + 57715234, + 697783327, + -1, + 49692919, + 878423004, + 267918701, + -1, + 778036399, + 673470521, + 949404341, + 66482683, + 903035808, + -1, + 783314567, + 647472541, + 377979442, + 628721210, + 244644483, + 219047289, + 25251228, + 309630054, + -1, + 59963546, + 423504183, + 993678606, + 745135099, + -1, + 880594285, + -1, + -1, + -1, + 448882490, + 636411321, + -1, + 532475197, + 978395130, + -1, + 634567802, + 896492145, + 563485757, + -1, + 55870210, + 559906470, + 971015978, + 992079830, + -1, + -1, + 906305158, + 328750657, + 142947652, + 850913042, + -1, + 944457616, + 951647218, + 516110691, + 846412582, + 735871268, + 989109681, + -1, + -1, + 83949320, + -1, + 704844861, + -1, + 673504610, + 943607229, + -1, + 521994946, + -1, + -1, + -1, + 426665906, + 31303407, + -1, + -1, + 869663962, + 313880598, + 492181766, + -1, + -1, + 946545987, + 447374274, + 872737628, + 976321760, + 774217782, + 36147707, + 678747214, + 287619621, + 51892085, + 85494229, + 716748604, + 503317597, + 237849094, + -1, + 277065435, + -1, + 776252451, + -1, + 463773889, + 947659540, + -1, + 195220071, + 488604291, + -1, + 838472847, + -1, + 167606530, + 542248844, + 311787345, + -1, + 447115749, + 619844489, + 784092212, + 558800004, + 974787844, + 464185058, + 26618686, + 17652952, + -1, + -1, + 976040234, + 955506450, + -1, + -1, + 988038298, + 180628667, + 676962715, + -1, + -1, + 170522973, + 726686499, + 357298050, + -1, + 191085641, + 706397866, + 209440639, + 877753533, + -1, + 634128192, + 20192700, + 673999425, + 82858423, + -1, + 719116728, + 384372849, + 786525641, + -1, + -1, + -1, + 338628120, + 853656687, + 981410409, + 587510893, + 785746185, + 24605889, + -1, + 557320356, + -1, + 663638956, + 788119457, + 169247095, + 23842406, + -1, + 112817164, + 617242150, + 965278639, + 706232818, + 923837693, + 796853052, + -1, + 408152768, + -1, + 500845078, + 148664682, + 720958519, + 34053233, + 143775816, + 723344901, + 177495435, + 859457526, + -1, + 652946518, + 767360171, + 357184813, + 297184937, + 626016588, + 232705756, + -1, + -1, + -1, + 603478395, + 45449384, + -1, + 232270066, + 458306190, + 984423369, + -1, + 954724756, + 262779023, + 25022047, + -1, + -1, + -1, + -1, + 292884524, + 969130190, + -1, + 395418458, + -1, + 236008384, + 253580940, + -1, + 316475002, + 497760900, + 680136168, + 433599828, + -1, + 316196421, + 515454185, + -1, + 863832213, + 388538351, + 985453769, + 402202470, + -1, + 593807682, + -1, + 367623569, + -1, + 7598442, + -1, + 839312670, + -1, + -1, + -1, + 345737320, + 143615431, + -1, + 638305707, + 869628203, + 97773658, + 525539256, + -1, + 405198825, + 868432197, + 715572756, + 416485517, + 898667687, + 107568788, + -1, + 617885274, + 303154631, + -1, + 985098639, + -1, + -1, + 267453446, + -1, + 15506643, + 495696349, + 936702621, + 974339963, + 244316136, + 965528998, + -1, + 128524680, + 164143247, + 669380321, + -1, + 794388200, + 5552142, + 893441879, + -1, + 389488470, + -1, + -1, + -1, + 987531967, + 997040087, + -1, + 213225096, + -1, + 321079704, + 264278142, + -1, + 487552536, + -1, + 599879086, + -1, + -1, + -1, + 705949177, + 732616434, + -1, + 495986804, + 678624502, + 41344524, + -1, + -1, + 34720237, + -1, + 298094975, + 555532982, + -1, + -1, + -1, + -1, + 907381999, + 765244514, + -1, + 36923630, + 481050716, + 872147919, + 636882630, + 190061309, + 74642612, + 539217569, + 493110445, + -1, + 938362629, + 781195924, + 133672560, + -1, + -1, + 607407914, + -1, + -1, + -1, + -1, + 974226685, + -1, + -1, + -1, + -1, + 661665834, + 993980821, + -1, + 99868831, + 695914034, + -1, + 274274209, + -1, + 973340115, + 270992380, + -1, + 218204689, + 450813437, + 250107488, + 304323403, + -1, + 319847988, + 652816194, + 672245648, + 567734187, + 40133806, + 846964528, + -1, + 91184389, + 431684691, + -1, + 896291035, + 217546358, + 646348883, + 257983989, + 460886141, + -1, + 270018350, + 247864243, + -1, + 436842965, + 35776810, + 195882441, + 940417907, + 186970667, + 796614353, + 154009049, + 702900553, + 568309792, + 796000088, + 951257487, + 409988853, + 279898030, + 158280322, + 153962584, + 519291692, + -1, + -1, + 968495569, + 960988648, + -1, + 457710465, + 984985325, + 651497025, + 325134330, + 527170981, + -1, + 560293798, + 578718382, + -1, + 562276413, + -1, + 301672558, + 187858903, + 872822130, + 89356820, + 873572241, + 12986900, + 963017380, + 264398100, + -1, + 119074920, + 296749239, + 491877672, + -1, + 549078917, + 181321151, + -1, + 431422255, + 582535467, + 737932809, + 739071146, + 335800584, + -1, + 947270008, + 739120600, + 969498084, + 178343859, + 271663735, + 337636698, + 467822827, + 467057769, + 511954439, + 949217850, + 836917791, + -1, + 687062655, + -1, + 402476066, + 654494617, + 14044544, + 648369187, + -1, + 235811240, + -1, + 799863464, + -1, + 395914831, + -1, + 24927450, + -1, + -1, + 137132603, + -1, + -1, + 200828365, + 614545758, + 475792275, + 939418030, + 786186778, + 783834570, + 601357316, + 539290174, + 291191575, + -1, + -1, + 217758646, + 719157397, + 160716416, + -1, + -1, + 573275004, + 417276686, + 932669857, + 314434244, + -1, + 655088506, + -1, + -1, + -1, + 952568966, + 618850237, + 293515607, + 849199505, + -1, + 912490549, + -1, + -1, + 856528476, + 130420636, + 754769897, + -1, + 343601406, + 247247726, + 132666615, + 29377896, + 940410296, + -1, + -1, + 920460585, + -1, + -1, + -1, + 799903134, + 569213083, + 825367604, + 778341382, + -1, + -1, + -1, + 840456641, + -1, + -1, + 358087773, + -1, + 901987602, + 283352777, + -1, + 343648552, + 782043976, + -1, + -1, + -1, + -1, + 502411002, + 578004150, + 918861393, + -1, + -1, + 346275456, + 816730821, + -1, + 594945216, + -1, + 694573214, + 339334159, + -1, + 379969278, + -1, + 705650695, + -1, + 841679562, + 442555923, + 551400073, + 476939859, + 81537842, + 657951895, + -1, + -1, + 892387467, + 78114328, + -1, + 387147685, + 255930955, + -1, + 811449232, + -1, + -1, + 303014052, + 828445891, + 544890216, + 595606781, + -1, + 659396980, + 626936535, + 514648090, + 743621455, + 984379771, + 63075378, + 731553, + -1, + 567177667, + -1, + 920526990, + 420738138, + 343382639, + 69617521, + 259384606, + -1, + -1, + -1, + 716623455, + -1, + -1, + -1, + 543905059, + 48081396, + -1, + 936284661, + -1, + 596568276, + 831900484, + -1, + 198720917, + 361913457, + 137135676, + 388263657, + -1, + 638645608, + -1, + -1, + -1, + 10211832, + 817114837, + 202925260, + 812915213, + 862299336, + -1, + -1, + 482700061, + 897359663, + -1, + 107735825, + 5013342, + 70949182, + 792974618, + 237636158, + 141404251, + 388038203, + 483663479, + 31349003, + -1, + -1, + 104661126, + 992058918, + -1, + 968601331, + 392356895, + 292563947, + 379399924, + 167997398, + 529602697, + 358070866, + 418713734, + 246479734, + 492422159, + 11219635, + 189468636, + -1, + -1, + -1, + -1, + 213374315, + 954029628, + 415921899, + 349600527, + 412705025, + 251521480, + -1, + 935520445, + 510468832, + 234953845, + 736051418, + 438093756, + 513625275, + 163132430, + 572047499, + 964974974, + 580167108, + 472491922, + 408099185, + -1, + -1, + -1, + 650698732, + -1, + 59466378, + -1, + 768197550, + 831033884, + -1, + 717829266, + 21299037, + 263950426, + -1, + 366221451, + 34206554, + 258637632, + 763453834, + 322590374, + -1, + -1, + 276413420, + 868963266, + -1, + 542009362, + 529072597, + -1, + 14163353, + 308848109, + -1, + 701690683, + -1, + -1, + -1, + 291234753, + 693856510, + 207989022, + 714991810, + 196467607, + 220099634, + -1, + 966624340, + 31613256, + 969225917, + -1, + -1, + -1, + -1, + -1, + 340325525, + 604961043, + 675873531, + -1, + 537454146, + 503147450, + 925093837, + -1, + -1, + 182899652, + 206482763, + 987607725, + -1, + 770447998, + 271420532, + 745436150, + 821931079, + -1, + 111728419, + 821715820, + 133780277, + 835893873, + 405271673, + 376565215, + 315151327, + -1, + 369677939, + -1, + 702943114, + 906760155, + -1, + -1, + 308057321, + 418675988, + -1, + 572373520, + -1, + 558878843, + 415553586, + 895908566, + 583234898, + -1, + 508515623, + -1, + 863946240, + 258863067, + 137240518, + 936741799, + 956844012, + 505634091, + 408666803, + 740732489, + -1, + 209134263, + 679457170, + 517308108, + 516283058, + 443351152, + 805763536, + 56323406, + 191504576, + -1, + 131172889, + 412659998, + 636097722, + 781643221, + 243194218, + -1, + -1, + 255607080, + 365879658, + 966072878, + 135731548, + -1, + 275356311, + -1, + 264943044, + 993707128, + 416557376, + 733867917, + -1, + 75502250, + 615934918, + 342275917, + 567303328, + 753246516, + -1, + 186629922, + 709340901, + 370069482, + 369503676, + -1, + 860976262, + 892613822, + 525191518, + 573681415, + -1, + 557062692, + 451171135, + -1, + 772195236, + -1, + 853342785, + 386776771, + 273070868, + 796295064, + 614448683, + 526573417, + 325886621, + 383018318, + 392792494, + 29166257, + 930375477, + -1, + 238455628, + 578162341, + 614717722, + 923510772, + -1, + -1, + 660432843, + -1, + 322432265, + 763773015, + 707080985, + 576710908, + 444500030, + 397545108, + -1, + 781754679, + 609800490, + -1, + -1, + 907095454, + -1, + 1298723, + -1, + -1, + -1, + 881507526, + 602554955, + -1, + 960365257, + 41568655, + -1, + -1, + 208153548, + 243503745, + 132232382, + 257857230, + 94155009, + 4719566, + 538505235, + 782177376, + 796273624, + -1, + 934697176, + 621130709, + -1, + 221747651, + 981134934, + -1, + -1, + 950381364, + -1, + -1, + 97410207, + -1, + 142571717, + 817972848, + 409222314, + 872594750, + 573989123, + 966169654, + 938418392, + 737754679, + 317754780, + 135460046, + -1, + -1, + 110620216, + 957894487, + 558522091, + 367497004, + 924501603, + 23868116, + -1, + 97091011, + 396883965, + 579785785, + 346686135, + 533945711, + 57032321, + 540727801, + 293907819, + 858852591, + 369513573, + -1, + 241260813, + 772255442, + -1, + 679932698, + -1, + -1, + 84050708, + 900352359, + 166454134, + -1, + -1, + 508062056, + 642538214, + 871546958, + 43942599, + -1, + -1, + 31412534, + -1, + 426725614, + -1, + 944131010, + -1, + 187162964, + -1, + 772513323, + 468766951, + -1, + 945110900, + -1, + -1, + 719991961, + 186061565, + -1, + 567447316, + 803554990, + 648408422, + 317095556, + 279858524, + 604139047, + -1, + -1, + 385916250, + -1, + 528951778, + 296960170, + 743834729, + 842639966, + 832795505, + -1, + -1, + 787593317, + 400770766, + 700219481, + 38466825, + 500423556, + 538435976, + 244689884, + 576793155, + -1, + 506949793, + -1, + 334928038, + -1, + -1, + 268269289, + -1, + 872976279, + 221051865, + 249951777, + 540179993, + -1, + -1, + -1, + 689145860, + 28366365, + -1, + -1, + 777002169, + 442951548, + -1, + 69585111, + -1, + -1, + 773380312, + 276597622, + 921156014, + 757903426, + 782349093, + 363130330, + -1, + 896264503, + -1, + 611115886, + 461244747, + 237841744, + 532831216, + 348382450, + 7456020, + 977698389, + 608979172, + 429457805, + 34732, + 297303556, + 349357068, + -1, + 505235922, + -1, + -1, + -1, + 158677324, + -1, + -1, + 567401256, + 207927172, + 332444464, + 136732733, + 133332920, + 569762867, + 539177520, + 39852194, + 389118608, + 666019552, + -1, + -1, + 49152777, + 624579100, + 831242424, + -1, + 938173561, + 692322664, + 986328040, + 464111757, + 337184018, + -1, + 183523527, + 530038215, + 905549515, + 324328993, + -1, + 452023851, + 532187129, + -1, + -1, + -1, + 982175626, + 470743921, + -1, + 51589374, + 632064234, + 670130960, + 624958682, + 867333486, + 812962291, + 229285257, + 511191447, + -1, + 18148375, + 384419189, + 385020987, + 33025340, + -1, + 414622148, + -1, + 276191079, + 834079729, + -1, + 166330387, + 41162384, + -1, + 743090842, + 919572834, + -1, + -1, + -1, + 702152829, + 260855176, + -1, + -1, + 72534383, + 806363861, + 813801606, + -1, + -1, + 79716388, + 76404908, + 512396664, + 200513487, + 986019769, + -1, + 889762893, + 727471731, + -1, + 597511947, + -1, + 166473032, + 598694580, + 676678302, + 773747471, + 175813340, + -1, + 554736515, + 488608570, + -1, + 874179064, + 421736973, + 21873899, + 489515252, + 67771895, + -1, + 971470046, + 413537194, + -1, + 13402074, + -1, + 768203562, + 488360886, + 191397450, + 957607910, + 676759999, + 749132372, + -1, + 547353844, + -1, + 686383965, + 132588874, + 875194736, + 316017604, + 88284214, + 245324617, + 970996512, + -1, + -1, + 203804973, + 400970213, + 307347253, + 251446840, + -1, + 927867151, + -1, + 184721338, + -1, + 12166102, + 508233325, + 666749480, + 588917610, + 567145133, + -1, + 225515400, + 416641959, + 347347277, + 942018671, + 255583189, + -1, + -1, + 316244072, + 65583461, + 149998048, + -1, + -1, + 407351316, + 724710869, + -1, + 383238809, + 75135059, + 657463228, + 423137745, + -1, + 7588945, + -1, + 633431504, + 203644069, + 832511791, + -1, + 533098343, + -1, + -1, + 701505882, + 736312143, + -1, + -1, + 113935549, + 34819458, + 955522692, + 89362842, + 146795377, + 786882614, + 624606441, + 547184374, + 971481843, + -1, + -1, + 473281200, + -1, + 987411977, + 329326156, + 60221241, + -1, + 898140520, + 895961220, + 106140360, + -1, + -1, + 845976127, + 413037591, + 752452135, + 477463409, + -1, + 530941086, + 770882416, + 764463579, + 112900787, + -1, + 486905126, + 284487524, + -1, + -1, + 684290566, + 188130602, + 709173849, + 826403413, + -1, + 353706050, + -1, + -1, + 187702876, + -1, + -1, + 504789371, + -1, + -1, + 4467769, + 451607560, + 803384535, + 451254116, + 262840251, + -1, + -1, + 898820538, + 315672304, + -1, + 785133392, + 187642732, + 569653279, + -1, + -1, + -1, + 809982403, + 570640125, + 852164888, + -1, + -1, + 527631309, + 947767118, + 816315050, + 593022126, + 948765422, + -1, + -1, + 709570862, + 539698628, + 866650438, + 558979705, + 11438501, + 149762305, + 140991408, + -1, + -1, + 978400673, + -1, + 979802403, + 289093804, + 854864854, + -1, + 877376570, + 941310056, + -1, + 174144849, + -1, + 666537767, + -1, + 486448050, + 663624209, + 937585788, + -1, + 265545225, + 505395318, + 866741183, + 743181532, + 757416278, + 668242107, + 66154616, + 45065027, + -1, + -1, + 400267264, + 532224644, + 503654578, + 880389691, + 910757043, + -1, + -1, + 772800743, + -1, + 484191628, + 481644853, + -1, + -1, + 871349811, + 214366259, + 484157780, + -1, + -1, + 891639773, + -1, + 808273539, + 213331392, + -1, + 754070922, + 153309051, + -1, + -1, + 312457876, + -1, + -1, + 893482392, + 29413707, + -1, + 663131075, + 596690359, + 441405147, + 296252128, + 157880300, + 702137801, + -1, + -1, + -1, + 680918862, + 683187420, + 914388302, + -1, + 664543587, + 145311431, + 387743986, + -1, + 139663172, + 241503614, + 613450416, + 927483612, + 824557993, + -1, + 586535156, + -1, + 253807795, + -1, + 187137679, + 806140969, + -1, + 14067039, + -1, + 807000066, + 30401212, + 466021473, + 322228359, + -1, + 536917349, + -1, + 279501457, + 637671312, + 175531719, + 747722900, + 182798383, + 508068511, + 309203958, + 994231142, + -1, + 250621642, + 773160018, + -1, + 353284261, + 437926012, + 850320531, + -1, + 81692000, + 45162811, + 979479420, + 686864432, + -1, + 682963352, + 56727853, + 207119908, + 317864589, + 337207952, + 766004374, + 824946505, + 143862030, + 330315219, + 801634870, + 812238473, + 889854475, + -1, + 690670386, + 710373241, + 489955699, + 714382754, + -1, + -1, + 636834139, + 221372129, + -1, + 537732350, + 317751883, + 572309937, + -1, + 597346252, + 981135179, + 95632006, + -1, + 997805221, + -1, + 696986402, + -1, + -1, + -1, + 494450734, + 768690617, + 653034061, + 403589955, + -1, + 380961205, + 88788859, + 847390246, + 891810331, + -1, + 649473691, + 606143523, + 354502137, + 131640409, + 482837911, + 7473445, + 642110548, + 464398779, + 717998764, + -1, + -1, + -1, + 980649919, + 455169795, + 235872640, + -1, + 123089758, + -1, + 838773565, + 692184658, + -1, + 655786326, + 426879253, + 588162359, + -1, + 668492541, + 283861232, + 676372877, + -1, + -1, + 906700280, + 840114355, + 459645492, + 701636843, + -1, + 813730064, + 411003238, + 612982567, + 103412252, + 422598919, + -1, + -1, + 612451506, + -1, + 867995260, + 732691462, + -1, + -1, + 46626002, + -1, + 629147261, + -1, + 642442124, + 618562950, + 957068443, + 481338629, + 750594882, + 354728280, + 545489028, + 223223450, + 137312270, + 96733551, + -1, + 343556429, + 297111999, + 869123212, + 286704205, + 984713305, + -1, + 387051417, + 258888441, + 149063592, + -1, + 855828079, + 427131421, + -1, + 645721781, + 864824390, + -1, + -1, + -1, + 450145642, + 333989803, + 656076475, + -1, + 104240746, + 750993408, + 956629609, + 624195669, + 30887121, + 649205535, + 603243662, + 115934705, + -1, + 159252821, + 750993410, + 203182186, + 15020230, + -1, + -1, + -1, + 239164103, + -1, + 698076226, + 154855213, + 908931593, + -1, + 766168750, + 643161854, + -1, + 355792226, + 88116846, + -1, + 792334755, + 354307164, + -1, + 998550921, + 168409500, + 29107478, + -1, + 606451710, + 243813134, + 705383917, + -1, + -1, + 728556184, + 957358680, + 67915123, + 732260749, + 24798269, + 550416447, + 670295484, + 121954315, + -1, + 989980210, + 643934781, + -1, + -1, + 883268040, + 936448886, + 194220436, + 916033455, + -1, + -1, + 841592832, + 976589027, + 766116518, + 514032510, + 789309867, + 901329173, + -1, + 59017719, + -1, + 831154000, + 501342206, + 880577881, + 139632938, + 342464934, + -1, + 873493028, + 548276312, + 661706039, + 731731510, + 935615542, + 239937925, + 184587237, + 749345951, + 84077531, + 275772021, + 136458830, + 923743482, + 441995144, + -1, + 828946866, + 491053734, + -1, + 71404437, + 364436904, + 455947521, + 283385175, + -1, + 48030892, + -1, + 671719247, + 831547980, + 581364714, + 439017104, + 600113109, + 3815728, + 629114, + 327773522, + -1, + -1, + 155397112, + -1, + 702127163, + -1, + 191110870, + 590110208, + 202474627, + 305864406, + 582835974, + -1, + -1, + -1, + 350548020, + 269319366, + 886912695, + 742021513, + -1, + -1, + -1, + 399070316, + -1, + 614101277, + 453048071, + -1, + 999614727, + 920709316, + 964198237, + -1, + -1, + 970566359, + -1, + 727716696, + 255087807, + 858636301, + 192672866, + 567992050, + 579802155, + 781386053, + -1, + 925565330, + 535415715, + 456489758, + -1, + 470307372, + 69938902, + 807645183, + -1, + 885180336, + -1, + -1, + -1, + 333684951, + 780539048, + 383007223, + -1, + 508107272, + -1, + 47956070, + -1, + 655128730, + -1, + 657984131, + -1, + -1, + 795518907, + 450951873, + 682050420, + 470167906, + -1, + 104984835, + -1, + -1, + 605398484, + 989012792, + 145704845, + 193046524, + 128331296, + -1, + 605915293, + -1, + 973158525, + 246211177, + 886855763, + 872732950, + 887329669, + -1, + 987642908, + 525069036, + 106190552, + 729032331, + 198403286, + -1, + -1, + -1, + -1, + 567165774, + -1, + -1, + 593398166, + -1, + 345268790, + -1, + 940668852, + 704380894, + 670957489, + 25063832, + 913248458, + -1, + -1, + -1, + -1, + 49969225, + 939672411, + 490100880, + -1, + 960594128, + -1, + 472693925, + 411829316, + 490790238, + -1, + 616385507, + 791947495, + -1, + -1, + 83351263, + 86605441, + 160257224, + 576589825, + 787953517, + 879869391, + -1, + -1, + -1, + 305722575, + 420296648, + 193986602, + -1, + 85481769, + -1, + 920041770, + 867610471, + 650951651, + -1, + -1, + 906293936, + 72697464, + 409722073, + -1, + 607380648, + -1, + -1, + 973430782, + 711729487, + -1, + 204751351, + 420749068, + -1, + 401234406, + 439462238, + 8958346, + 621917591, + -1, + -1, + 888232739, + 332106357, + 959569526, + 105174861, + 989116105, + 655572102, + -1, + 48928647, + -1, + 29920388, + -1, + -1, + -1, + 361792065, + 367623688, + -1, + 125406933, + -1, + -1, + -1, + 272093429, + 493759217, + 886667019, + 937470161, + -1, + 589257545, + -1, + 880437144, + 439364839, + 524574423, + 543429960, + -1, + 624638865, + 447629425, + 870990871, + 448522744, + 661878555, + -1, + 143790437, + -1, + 935764430, + 303006620, + 908929178, + 825503621, + -1, + 75340627, + -1, + 505848913, + 441614642, + -1, + 931235440, + -1, + 112961595, + 707641375, + 239300223, + 383932404, + -1, + 648999767, + -1, + 598961488, + 992693660, + 773508286, + 948986880, + -1, + 82870950, + 339143454, + 89079474, + 700773656, + 609614731, + 680656860, + 758402118, + -1, + 946377675, + 118353902, + 730961899, + -1, + 511664616, + 945112365, + -1, + -1, + -1, + 286215788, + 275370361, + 490803142, + 660210978, + -1, + -1, + 710873795, + 247899794, + 475205973, + 346717543, + 424445165, + -1, + -1, + -1, + 615585724, + -1, + 112564100, + -1, + 159761240, + 677049075, + 551452714, + 273789757, + -1, + 629458709, + 146154677, + -1, + 4123818, + 283079619, + -1, + 40610630, + 267683070, + 648498386, + 576921883, + 788644034, + 154406052, + 221365469, + -1, + -1, + 958480779, + 508174285, + 98779536, + 182935008, + 993367631, + 319466586, + 187947778, + -1, + 155013102, + 860349473, + -1, + 160533252, + 284062618, + 507917312, + -1, + 777772145, + 20933292, + -1, + -1, + 772519924, + 605303335, + -1, + 434156374, + 738200239, + 756830625, + 101635825, + -1, + 874043662, + -1, + -1, + 211399253, + 351376753, + 719923972, + 814006684, + 950149662, + 780878383, + -1, + 31523738, + 196374934, + 603807737, + -1, + 94866015, + 735111067, + 909434796, + 11099406, + 153201577, + 309953797, + 263459535, + -1, + -1, + -1, + -1, + 534308215, + 818052438, + 419286539, + -1, + 435824111, + 660992406, + -1, + 492327971, + 549285568, + 379932668, + 410908411, + 191756100, + 491197601, + 375578372, + -1, + 80735276, + -1, + -1, + 238671018, + 312519659, + 883184169, + 562581595, + -1, + 199228695, + 850053731, + 888114816, + 236147218, + 491054275, + 84939837, + 18391867, + 5459237, + 337153376, + 396495214, + -1, + 303496519, + -1, + 422294825, + 114232149, + 34548590, + 224990397, + 234238180, + -1, + -1, + -1, + 723407262, + 595460309, + -1, + 116600662, + 961408106, + -1, + -1, + 799723436, + 925622249, + -1, + 834069259, + -1, + 556796524, + -1, + 379224793, + 791738860, + 656802622, + -1, + 465708832, + 569142805, + 475779875, + -1, + 369571287, + 383979072, + 915932174, + 505036905, + 905532850, + 75601353, + -1, + 493672664, + -1, + 190142671, + -1, + -1, + 918798499, + 260978324, + 569340343, + -1, + -1, + -1, + -1, + 753533143, + -1, + 800114313, + 353875574, + -1, + -1, + -1, + 724987648, + -1, + 264464354, + -1, + 532412330, + -1, + 331176255, + -1, + 429308136, + 590439175, + 484764354, + 446621610, + 638645364, + 319584727, + -1, + -1, + 632453253, + 206239156, + 930796256, + 65219588, + 771524475, + -1, + 876155514, + 136813081, + -1, + -1, + 941591065, + -1, + 846737738, + 135397547, + 617829928, + 699200421, + -1, + 501276438, + 911594650, + 814339863, + 916037056, + -1, + 747853166, + 844247572, + 436120981, + -1, + 880805411, + 908127602, + 150526405, + 581723075, + 142769805, + 240657107, + 185404931, + 879353572, + 609602011, + 430195160, + 328543634, + 124371565, + 223515944, + 450038289, + 293111012, + 786883517, + 891233224, + 591223462, + 937261213, + 486533782, + 567805648, + 686985751, + 365411577, + -1, + 617573113, + 81997403, + 598191564, + -1, + 69639852, + 773460050, + 126366827, + -1, + 789275762, + -1, + -1, + 947675860, + -1, + 611944109, + 479895846, + -1, + 837132772, + 372548400, + 843274825, + -1, + 83862840, + 38014548, + 475362331, + 479945986, + 24839833, + 993239703, + 172616469, + -1, + 347383511, + -1, + 493322997, + 751524688, + 585115824, + -1, + 755338107, + 596870398, + 260324406, + 823842073, + 715325717, + 329133178, + -1, + 545925784, + 32695389, + 121059517, + -1, + -1, + 311880740, + 816918096, + -1, + 638919645, + 91007729, + -1, + -1, + 619859730, + 360111791, + 839510741, + 86728876, + 977456755, + 130866860, + 510465090, + 297263960, + 995344798, + -1, + -1, + 131471069, + 388799695, + 590181663, + 476638483, + 429530265, + -1, + -1, + -1, + 444966303, + -1, + 661730585, + -1, + 182115640, + -1, + 939133036, + 44040307, + 431850435, + 921772563, + 437178518, + 467554108, + 530290714, + 142315632, + 638226381, + -1, + -1, + 454073726, + 756097924, + -1, + 907916663, + -1, + 437966177, + 874942856, + -1, + -1, + 233574949, + 403585112, + 487795773, + 342314849, + -1, + 381777437, + 938728222, + 977851319, + -1, + 402041019, + 48926372, + 887436647, + 272764122, + 847123191, + -1, + 582149061, + 956865473, + -1, + 375345565, + -1, + -1, + -1, + 511210166, + 706467330, + -1, + -1, + 636650871, + -1, + 951427379, + 143808192, + 928243723, + 789330023, + -1, + -1, + 510565666, + -1, + 667625716, + 514449696, + 282477766, + 569842631, + 910289099, + -1, + 444005424, + 157439147, + -1, + -1, + 429928654, + 757211621, + 151402477, + -1, + -1, + 583915183, + 330952036, + 255541985, + 347058241, + 951666832, + 899592576, + 819137418, + -1, + 911606288, + 430376867, + -1, + 471020481, + -1, + -1, + 959160993, + 344197565, + -1, + 315913326, + 391959153, + 76000602, + 927453573, + -1, + 573707176, + 405707866, + 747597226, + 959976320, + 797025538, + 737634980, + 971558698, + -1, + 508765899, + 567074383, + 608226067, + -1, + 815824263, + -1, + 639607497, + -1, + -1, + 357277337, + -1, + 396969327, + -1, + 335469935, + 682040960, + -1, + 26092870, + 281744389, + 952337432, + 934090291, + 442766142, + -1, + -1, + 908988081, + -1, + 939195103, + 631570609, + 98973131, + 516141324, + 176583645, + 777608372, + 604146790, + 960634649, + 741641068, + -1, + 557671525, + 75363466, + 31230828, + -1, + -1, + 360751409, + 530001542, + 520443073, + 473975831, + -1, + 258549523, + -1, + 83989958, + 794837242, + 315493565, + 779736369, + 699787010, + 458538796, + 361891648, + 413082278, + 734801761, + 938917254, + -1, + -1, + 662596108, + 923911648, + -1, + 793622674, + 764710145, + 866116519, + 645782493, + -1, + -1, + 625231953, + 3513621, + 441563243, + 147484991, + 939901630, + -1, + -1, + 738251911, + 517870081, + 378151289, + 252819117, + 640856640, + 484995888, + 524409991, + 802536201, + 894850960, + 430364498, + -1, + -1, + -1, + -1, + -1, + 603893688, + -1, + -1, + -1, + -1, + -1, + 462548789, + 790991597, + -1, + -1, + 709343215, + 806506251, + 742893859, + -1, + 815386932, + -1, + -1, + -1, + 990503799, + 58330838, + 727112894, + -1, + -1, + 521347206, + -1, + 370663185, + -1, + 670115244, + 532848984, + 81223865, + 787868696, + 620693436, + 966205952, + 376063517, + -1, + 268913729, + 258294799, + -1, + 89005109, + 868597613, + 271600486, + 111676817, + 790085983, + 768200020, + -1, + -1, + 90276600, + -1, + 793145691, + 606001577, + -1, + 285048695, + 374956884, + -1, + -1, + 512737367, + 369314655, + 912873829, + -1, + 193323603, + 269690252, + -1, + 364377842, + 319445552, + -1, + 444751923, + 840505406, + 128030242, + -1, + 518458784, + 865360206, + 391287112, + 613333287, + 33262611, + 765145193, + -1, + 827771402, + -1, + 689960357, + 929826752, + -1, + 710446351, + 735779074, + -1, + -1, + 651275710, + -1, + 985669975, + -1, + -1, + -1, + 474113523, + 551765000, + 100160402, + -1, + 891236986, + 970738231, + 766585301, + 831213293, + 343563674, + 11218483, + -1, + 960542059, + 385971548, + 598045089, + 160625590, + -1, + -1, + 69402208, + 377923568, + -1, + 752269955, + 495581512, + 415574453, + -1, + 373074905, + -1, + 524225649, + -1, + 208649623, + -1, + -1, + 589450558, + 701986516, + 796478683, + 677794038, + -1, + 849410421, + 654221090, + 747327365, + -1, + 299975304, + 633366567, + 87695053, + 399000562, + 129646178, + 80869989, + 721275691, + 747792560, + 178542629, + 647207479, + -1, + -1, + 410933050, + 106912760, + -1, + -1, + 959267322, + 885588612, + -1, + 53086436, + 173061583, + 926672186, + 726573983, + -1, + 744395736, + -1, + -1, + 515947392, + 266507188, + -1, + -1, + 753545171, + 337830116, + 676787735, + 893840672, + 771125168, + 488227096, + -1, + 919226172, + 510666290, + -1, + -1, + -1, + 901801042, + -1, + -1, + -1, + 608710228, + 438877196, + 360819865, + 939390510, + -1, + -1, + 986300951, + 83164870, + -1, + 15040192, + 891601324, + 492334789, + -1, + -1, + 907883052, + 482730309, + 132237793, + 556129996, + -1, + 113069096, + 454675602, + 472887281, + 781630568, + 120354204, + 585637717, + -1, + -1, + 332832438, + 117383951, + 160569880, + 600164250, + 986985658, + -1, + 424969364, + 101189427, + 995118578, + 375840782, + 455045885, + -1, + 628177640, + -1, + 871435910, + 231578857, + -1, + 723176894, + 468196603, + 748268609, + 212775524, + 19888824, + 366192255, + 850739866, + 880753632, + 890243787, + 457979017, + -1, + -1, + 287256264, + -1, + 559226038, + 324571139, + 764276176, + 649303899, + 143394636, + 125709154, + 94682729, + -1, + -1, + 320241156, + 84881738, + -1, + -1, + -1, + 940236366, + 58571597, + 110235084, + 508461626, + -1, + -1, + -1, + 657529833, + 482673960, + -1, + 767915960, + 575878711, + 237490204, + 26818062, + 5502955, + 304764621, + -1, + -1, + 564108574, + -1, + 624639811, + 598451971, + 468172268, + -1, + 21640097, + 765641356, + 501030988, + 338173006, + 25418007, + 296112924, + 821270859, + 405865921, + 866994331, + 199071423, + 517396867, + -1, + 465464598, + -1, + 905798970, + 193084637, + 519999754, + 364949089, + 994500932, + 889889973, + -1, + 939419189, + -1, + -1, + 561301019, + 685777239, + 86555399, + 263487159, + 273973567, + 209255842, + 95371719, + 676906024, + 150967569, + -1, + 504983341, + -1, + 380329476, + 954118199, + 560232008, + 892434777, + 626126709, + -1, + 890233052, + 309202603, + 474176683, + -1, + 840511088, + 192035845, + -1, + 371637355, + -1, + -1, + 647082406, + 327818596, + -1, + 225472081, + -1, + 487508768, + 925501871, + 396810751, + 319412666, + -1, + -1, + -1, + -1, + -1, + 348689538, + 333031299, + 85862497, + 747409675, + 688870300, + 256406731, + -1, + -1, + -1, + 840236030, + -1, + 524984360, + 341866529, + 852813830, + 692702785, + -1, + 125257161, + 831454529, + 737914939, + 688134753, + 86720583, + 544637929, + -1, + 211980176, + -1, + -1, + -1, + 559135462, + 636107049, + 647833894, + -1, + 402501084, + 372818871, + 195589871, + -1, + 50460722, + 123184787, + -1, + 971817589, + 211467933, + 489610368, + 571775128, + 156602463, + 669346065, + -1, + 445159385, + 222390712, + -1, + 816168872, + 864242750, + 65083233, + 877028342, + -1, + 570674866, + 226050095, + -1, + 26199939, + -1, + -1, + -1, + 311847289, + 951331933, + -1, + 351821085, + 443335749, + 888753547, + -1, + -1, + -1, + -1, + 742145756, + 315446889, + 538565803, + 112846754, + -1, + 401702984, + 96851964, + 388128501, + 189396464, + 937210930, + 733390968, + 874226982, + -1, + 765732194, + 812019830, + 729540633, + -1, + 12127045, + -1, + 55928686, + 267541894, + 805022002, + 43129395, + -1, + 834960606, + -1, + 318369788, + -1, + -1, + -1, + -1, + 165157721, + 996802109, + 149770788, + 94266809, + 282293370, + -1, + 421657388, + 965489610, + -1, + 357317946, + 567084292, + 675069334, + -1, + -1, + -1, + 833148154, + 338840183, + 4348699, + 160231860, + 849318694, + 796816903, + -1, + 513321649, + 536947617, + 125182172, + 363256321, + 886694741, + -1, + 307585079, + 38025821, + 894493501, + -1, + 923827903, + 620236351, + 431285842, + 963369297, + 223480579, + 944409289, + -1, + -1, + 631088020, + -1, + -1, + -1, + -1, + 800337673, + 737529496, + -1, + 565734023, + 375601214, + 289362698, + 292293366, + 667663125, + 88910014, + 610442580, + -1, + 701907174, + -1, + 648484925, + -1, + 709696554, + 463727624, + 656698038, + 703636097, + 446814932, + 847884434, + -1, + 802661552, + 796518927, + -1, + 633874314, + 973518333, + 609535659, + 350243101, + 9155443, + -1, + 857134426, + 71623076, + 188895448, + 644684990, + -1, + 139987481, + -1, + 463301762, + -1, + 610686760, + -1, + 467403416, + 62316492, + 797390587, + 681920654, + 272660836, + 709682391, + 210358093, + 626328193, + -1, + 990678689, + 622885404, + 62176431, + 409475643, + -1, + 82695394, + 493226401, + 645533238, + 524899303, + 113180215, + 786208988, + -1, + 240777255, + 637263944, + 581123813, + 695059477, + 846359380, + 905098949, + 403652664, + -1, + 801845855, + 625685390, + 497929115, + 750551736, + 489628819, + -1, + 833605553, + 381256638, + 497017227, + 98292616, + 544356136, + 853390951, + 122622236, + -1, + 299916183, + -1, + -1, + -1, + 941924383, + 926364838, + 78046268, + 54301221, + 956855704, + 96098047, + 448929650, + 173472858, + 259731573, + 641449428, + 257734756, + -1, + 727752344, + 52017638, + 980954806, + -1, + -1, + 88860415, + 171562400, + 417496553, + -1, + 758255347, + 999909348, + 270432135, + 128386495, + 898219163, + -1, + -1, + 666523582, + 976376627, + 963614975, + 828048524, + -1, + 425705878, + 100179413, + 673651530, + 73833163, + 520184860, + 24249304, + -1, + 803743212, + -1, + 978454787, + -1, + -1, + 782799326, + 189421466, + -1, + 251802489, + 469153401, + 696029214, + 156846865, + 153412923, + 51573983, + 799063039, + -1, + 911442771, + 905087707, + -1, + 295661459, + 604922470, + -1, + -1, + 93554912, + -1, + 904185049, + 550838867, + 488439669, + -1, + -1, + 1803058, + 393050460, + -1, + 507878924, + 772861913, + 136878139, + -1, + 787018894, + 95858273, + 900331159, + 619212887, + 125089810, + 460971849, + 277355483, + -1, + 317476441, + -1, + 740388949, + -1, + 918875814, + 31779477, + 323108611, + -1, + 828221912, + 454820410, + 795195465, + 844020002, + 989353840, + 598631544, + 476007365, + -1, + 1361878, + 126853919, + -1, + -1, + -1, + 651371888, + -1, + 891543824, + -1, + 386552879, + 506375604, + 123967806, + 14004595, + 445675861, + -1, + 132961895, + 790030377, + 131539168, + 578423513, + -1, + 162785664, + 277534780, + 647325820, + -1, + -1, + -1, + 314729771, + 668793790, + 413396659, + -1, + 11149016, + -1, + -1, + 660333686, + -1, + -1, + 267476444, + 280981510, + 557506124, + -1, + 188634957, + 865580354, + 509244455, + 289052469, + -1, + -1, + 814041105, + 381937266, + -1, + 760410727, + -1, + -1, + -1, + 655865774, + -1, + 119746307, + 52679316, + 968228123, + -1, + -1, + 607004664, + 20539642, + -1, + -1, + 516712133, + 417618407, + -1, + -1, + -1, + -1, + 366670461, + 247486256, + 777551870, + 721695319, + 841524825, + -1, + 326988836, + 100420031, + 887317807, + 638527263, + 564786241, + 567923970, + 452362285, + 881748574, + 813532089, + 88825125, + 862793588, + 42954760, + 413415178, + 903881466, + 468784089, + 936435741, + 604693536, + -1, + 921100082, + 663610296, + 648043490, + -1, + 550610369, + 454773665, + -1, + 112170857, + -1, + 794276843, + 297998752, + 287169701, + -1, + 239608222, + -1, + 692708169, + -1, + 668309760, + -1, + 117130757, + 303769031, + -1, + 391974976, + 884348141, + 80663140, + -1, + 256672692, + 802768792, + 896939879, + 392188678, + 505073361, + 724101564, + 610538685, + -1, + 422172957, + -1, + 183597657, + 336648395, + -1, + -1, + 153086658, + -1, + -1, + -1, + 980354754, + -1, + -1, + 709688720, + 582026672, + 202660207, + 429835136, + 522593155, + 474714949, + -1, + 959078543, + 144300988, + -1, + 87108478, + 652674562, + 944891783, + 481274140, + 792454400, + -1, + 569833705, + -1, + 796289405, + 47647020, + 674148624, + 320088136, + 274728767, + 620185209, + 871262990, + 428839072, + 776237960, + 411668299, + 709090989, + 343140312, + 9491871, + -1, + 901006586, + 416343351, + 688261844, + -1, + 933677055, + -1, + -1, + 969991417, + 3727981, + 427139017, + 593873018, + -1, + 557843455, + 531400685, + 761467580, + 41805089, + 90542668, + 839387379, + 341451028, + 893881910, + 123836284, + 32777831, + 500072390, + 610078375, + 491078236, + 853671496, + -1, + 588833261, + 989046051, + 436072787, + 937689412, + -1, + 785653550, + -1, + 100816461, + 15522412, + 98323237, + 133015149, + 371748659, + 864927735, + 935455530, + 325109939, + 377386326, + -1, + 343399716, + 675410986, + -1, + -1, + 121745273, + 442925115, + 847802069, + 922614246, + 323158118, + -1, + 192493749, + 954917693, + -1, + 627381816, + 205791719, + 837031359, + -1, + 490758712, + -1, + 545191434, + 989252159, + 720095961, + -1, + 193648082, + -1, + -1, + 422656336, + 802885052, + -1, + 637970158, + 472935160, + 889301394, + 641645048, + -1, + -1, + 727350540, + -1, + 264144864, + 548580853, + 260883475, + 425320049, + 749821294, + 723919824, + 694521495, + 307669889, + 37192862, + 126109413, + 152354160, + 438622183, + -1, + 856398761, + 160134258, + -1, + -1, + 932636860, + -1, + -1, + 308883672, + 649038842, + -1, + 543199242, + 310419011, + 108847315, + 992872268, + -1, + 317325215, + 71218641, + 166331132, + -1, + 477078775, + -1, + 594994861, + 865651479, + -1, + -1, + -1, + 347911290, + 223560092, + -1, + -1, + 524857048, + 417427079, + -1, + 620042493, + 164429315, + 758949580, + 571049353, + 879621731, + 107822209, + 488797940, + -1, + -1, + -1, + -1, + 848577238, + 234722942, + 841668380, + 176708290, + 250712010, + 633026569, + 769353950, + 910539840, + 263611591, + 812611629, + 450106016, + 146358978, + 431911691, + -1, + 22429509, + 945573614, + 791994714, + 368605078, + 891628002, + 4848515, + -1, + 170220318, + 975112465, + 763163818, + 565558563, + 214045021, + -1, + -1, + -1, + -1, + 461660555, + -1, + 687365941, + 970518852, + 548704016, + -1, + 148752543, + -1, + 157196023, + 295560438, + -1, + 94748143, + 641834290, + 551969456, + -1, + 252942935, + -1, + 484325016, + 259789482, + 430264687, + 323712947, + -1, + 70573977, + -1, + 852058574, + -1, + 104236409, + 438723847, + -1, + 580489004, + 200491244, + 75612112, + -1, + 540653896, + -1, + -1, + 904083801, + 776344321, + -1, + 455024408, + 946815445, + -1, + 720851549, + -1, + -1, + 607382730, + 188379769, + 886554321, + 189787806, + 15139663, + 651116434, + 81674295, + 476505276, + -1, + -1, + -1, + 619540699, + -1, + 721692934, + 617844066, + 777740597, + 288181602, + 256752179, + 410216120, + 654262187, + 822960956, + 167659802, + 192095011, + -1, + 537767053, + 800930333, + -1, + 265647128, + 198323932, + 843371299, + 350726590, + -1, + 663038051, + 502855775, + -1, + 914559699, + -1, + 601164817, + 127367331, + 167886586, + 7022170, + 715164457, + 421843877, + 264329789, + 806009759, + 1962536, + 897776492, + 353866150, + -1, + 111365532, + 256165781, + 753972633, + 101237616, + -1, + 722778897, + 872393940, + 371941386, + 12703658, + 725695164, + 964893172, + 822441677, + -1, + -1, + 200148155, + 185593360, + -1, + 298691854, + 906177229, + -1, + 820905457, + 587829227, + 857674031, + 825385814, + 388615128, + 863544420, + 540259408, + 210111189, + 420487299, + 18933411, + 254276718, + 547194917, + 798882759, + -1, + 141273458, + 134344396, + 2690906, + -1, + 3043466, + 571249898, + 602352681, + 983783923, + 420249690, + -1, + -1, + -1, + -1, + -1, + 772094645, + 237828882, + -1, + 777242842, + 487300074, + 528271822, + 711984542, + -1, + 235618080, + -1, + 949261942, + -1, + 519438786, + 679416892, + -1, + -1, + 433629922, + 562836160, + 102889050, + -1, + -1, + 329980620, + 536727519, + 486185817, + 10499583, + 903932889, + 303035268, + 536787827, + 621756691, + -1, + 443968365, + 416561889, + 458463066, + -1, + 830829366, + 611636191, + 485793582, + 860787964, + -1, + 90061578, + 537248458, + -1, + 719103421, + -1, + -1, + -1, + 671184528, + 7003149, + -1, + -1, + 212734836, + -1, + -1, + 198398045, + 181965944, + 887033977, + 451741357, + 133990940, + -1, + -1, + -1, + -1, + -1, + -1, + 883164362, + -1, + 490321060, + 221204369, + 597541103, + -1, + 380205997, + 574305070, + 415377065, + 851071243, + 510738526, + 912021266, + 938459834, + 233328409, + 84763415, + 967432344, + 107491186, + -1, + 352456436, + 675631107, + 218379675, + 437444236, + 582979365, + -1, + -1, + 970132849, + 865300104, + 240507926, + 349774329, + -1, + -1, + 489908183, + 348556730, + 472488983, + 472632858, + 56456019, + -1, + 994221940, + 652131115, + -1, + -1, + 255949533, + -1, + 283626136, + 274448912, + -1, + -1, + -1, + 212295173, + -1, + 301688153, + 371167287, + 236908888, + 661589001, + 36552313, + 248595288, + -1, + -1, + -1, + 909134395, + -1, + 585039182, + 71860839, + 952644422, + -1, + 744788292, + 966908196, + 309042744, + 871227380, + 528875365, + 199930744, + 735635826, + 853381264, + 479963284, + 383163584, + -1, + -1, + 710423095, + 394376468, + 106244974, + 275069368, + 96425487, + -1, + -1, + 505688611, + -1, + -1, + -1, + 297966671, + 515848609, + 374586776, + 287892143, + 619289320, + 930456900, + -1, + 549290099, + 195435635, + -1, + 603816584, + -1, + -1, + -1, + -1, + -1, + 823199123, + 527273134, + 373719448, + 408565499, + 536098035, + 33773236, + 761809037, + 781160884, + 419932644, + 860564866, + 742551318, + -1, + 884282222, + 154982258, + 466956162, + 219276301, + 993160075, + 655212945, + 928927252, + 326173231, + 876374433, + 711361455, + 275990866, + -1, + 253958174, + -1, + 9458324, + 751599602, + 757135839, + 951237231, + -1, + 254642101, + 111658771, + 645280898, + 313981084, + -1, + -1, + 311116110, + -1, + -1, + -1, + 609363530, + 279573533, + 455057373, + 665911525, + 793481119, + 844396851, + -1, + 43666317, + 382565409, + 92581422, + -1, + -1, + -1, + 693876863, + 682291440, + 504366904, + -1, + -1, + -1, + 280088320, + 803439895, + 267369074, + 209852599, + 812012447, + 483770936, + 211637371, + -1, + 876965986, + 470021843, + 914609713, + 525519652, + 816145766, + -1, + -1, + 590206000, + -1, + 883090599, + 889480125, + 655185951, + 411941936, + 457768515, + 55832434, + 224148057, + 913520767, + 590186375, + 596088017, + 170970792, + 473108663, + -1, + 204129841, + -1, + -1, + 231572324, + 594017997, + 491321692, + 270602228, + -1, + 302944655, + 652024930, + 286023189, + 645212579, + 35548557, + 247910842, + 961568802, + 922347401, + -1, + 657669892, + 271572018, + -1, + -1, + -1, + 653613304, + 864090910, + 71733957, + 395038019, + 763657794, + -1, + 727483980, + -1, + -1, + 253641663, + 818730859, + 438952788, + 872935681, + 826192104, + 9152351, + -1, + -1, + -1, + 871621100, + 267211949, + 362122892, + 660052855, + 417973688, + 573353939, + 92461782, + 733210223, + 155529973, + 108947844, + -1, + -1, + 163682112, + -1, + 187016681, + 684311819, + 76055916, + 364010880, + 106407702, + 664098047, + 283566782, + 738988387, + 465924000, + 362450538, + -1, + 366607728, + 975716493, + 845825583, + 298504721, + 224972870, + -1, + 358523899, + -1, + 767996800, + -1, + -1, + -1, + -1, + 173413684, + -1, + 577175585, + 3009121, + 937997637, + 976985962, + 17855380, + 518162002, + 572501254, + 748379456, + 937021248, + 37026164, + 156318828, + 310297739, + -1, + 389150577, + 709572072, + 340905459, + 718318716, + 592090523, + 277168897, + 268926642, + -1, + -1, + 356604523, + -1, + -1, + 746175788, + 800029145, + 586193462, + 116065399, + 769934898, + 347479358, + -1, + 826399203, + 883012957, + 768009439, + 175560197, + 762961709, + -1, + 347948361, + -1, + 245146464, + 491276477, + -1, + -1, + 349249437, + 521119605, + -1, + 473307554, + 273105238, + 202602552, + 809042980, + 937234224, + 303663262, + 338068023, + 47549578, + 684898010, + 694494706, + -1, + -1, + 990358157, + -1, + 333293766, + 532985713, + -1, + 385967062, + 681667305, + 897681, + 629266233, + -1, + -1, + -1, + 118499205, + -1, + 271555227, + 733663225, + -1, + -1, + 30689098, + 238611761, + 186418309, + 914129752, + 501461247, + -1, + 20320355, + 361005033, + 620521550, + 433040447, + -1, + 357630134, + 977605097, + -1, + 778960577, + 452481187, + 775247078, + 949303649, + 957540906, + -1, + 901943092, + 283822835, + 203951776, + 746009059, + 794290087, + 494385151, + -1, + 436343991, + 199992175, + 578244243, + -1, + 141304375, + 104101809, + 348322419, + 967746613, + 371760863, + -1, + -1, + 350894530, + 119014617, + -1, + 702739511, + 261979454, + 267726651, + 52304073, + 430681644, + 357780144, + -1, + 153615448, + 575814378, + -1, + 642290267, + 200734494, + 110833041, + -1, + 672020479, + 939476823, + -1, + 377696537, + -1, + -1, + 403639183, + 232032211, + 606283251, + 634631367, + 673890424, + 112827576, + 756061188, + 665651662, + 687998186, + 211396037, + 497172098, + 337632769, + -1, + 892990740, + 320653983, + -1, + 88701434, + 434026929, + 201367100, + 34649445, + -1, + 4299787, + -1, + 952943551, + -1, + 161416603, + 592091661, + 568478943, + -1, + 854341739, + -1, + -1, + 690365249, + -1, + 197118469, + 666401562, + 786623139, + -1, + 940150866, + 845828177, + 984106704, + -1, + -1, + 842757763, + -1, + 337300612, + 180146444, + 686134112, + -1, + 164889832, + 843304869, + 924881751, + 553668981, + 177930911, + -1, + -1, + 852644035, + 614287947, + 374498102, + 882113144, + -1, + 460282606, + 111909252, + 450621476, + 333635428, + -1, + 285482456, + 318943233, + 457168203, + -1, + 408185836, + 544928378, + 136746931, + 96644878, + 198298045, + 426952393, + -1, + 628927179, + 758160678, + 689238453, + -1, + -1, + -1, + -1, + 861450773, + 733627456, + 994377295, + 5741062, + 594390831, + 304863439, + 142693454, + 119638497, + 968416438, + 180824223, + 149979760, + 851111626, + 538672426, + 954599677, + 485874586, + -1, + 343068058, + 736369703, + 764279978, + 873194190, + 568498303, + -1, + 755450464, + 868202392, + -1, + 751362819, + 412473056, + 522307366, + 506761539, + 757259374, + -1, + -1, + 676813317, + 617119024, + -1, + -1, + 598665399, + 620855388, + 130029321, + 494245796, + -1, + -1, + 543027601, + 719472723, + 954393420, + 949987392, + 186053102, + 395826643, + -1, + 335109782, + -1, + -1, + 466281509, + 766012682, + -1, + 410217129, + 861353401, + -1, + 434800461, + 327696757, + 704839487, + 365080914, + 406729459, + 345909352, + 968842934, + 164827021, + 273226849, + 761983995, + 407656223, + 862187696, + -1, + 69116852, + 372393529, + -1, + 962178812, + 548080795, + 653740417, + -1, + 911169273, + -1, + 995491028, + 266252317, + -1, + 952905496, + 916287052, + -1, + 923543898, + 308020722, + -1, + 460648792, + 300573855, + 172676977, + 258455915, + -1, + -1, + 574303177, + 789908041, + -1, + 852111547, + 604953617, + 93732586, + 103452002, + 904305133, + -1, + 126312428, + -1, + -1, + 967051663, + 535100886, + 222406951, + 475755933, + 204608033, + 513835614, + 990449335, + 364904240, + -1, + 784789336, + -1, + 952073089, + 468660428, + 506709811, + 893618835, + 687271751, + 346027846, + 471589573, + 109877314, + 787708599, + 946813727, + -1, + -1, + 806131115, + 336694291, + 670815112, + 294804573, + 893888424, + 351025250, + -1, + 705311764, + 23184014, + -1, + 504392758, + 939943406, + -1, + -1, + 670085208, + -1, + 84987774, + -1, + 241875162, + 236612216, + -1, + -1, + 344214129, + 800267016, + 369023540, + 28085460, + 859513539, + 91363564, + -1, + -1, + 455978055, + -1, + -1, + -1, + 70978134, + -1, + 922721385, + -1, + -1, + 813324320, + 893572751, + 639464012, + 393927764, + 953206103, + -1, + 789071753, + 87423675, + 844312394, + 751476446, + -1, + 139443831, + 501698534, + 600092174, + 979473519, + 27754474, + 679077932, + 260697211, + 785412911, + 832774410, + -1, + 508431105, + -1, + 334865088, + -1, + 542934931, + 531253638, + 247747286, + -1, + -1, + 266612554, + 274551372, + -1, + 60906773, + 273636357, + -1, + 63924807, + 317526782, + -1, + 416473027, + 439325218, + 937786177, + 340387928, + 58810860, + -1, + -1, + -1, + 275503870, + -1, + 616180391, + 927788102, + 813409930, + 460054568, + -1, + 856122237, + 241710105, + 900751477, + 395761203, + 96272570, + 86129802, + 919569161, + 802008804, + 113146987, + 452175385, + 948167269, + 535542681, + 298271228, + 829900461, + -1, + 237231269, + -1, + 63337099, + 366154339, + 730199769, + -1, + 503880923, + 339775675, + -1, + 689277374, + 919397379, + -1, + 827892007, + 427525800, + 160346223, + 320911649, + 258326040, + 276533392, + -1, + 427287332, + 190744674, + 814864321, + 204555597, + 1605484, + 634765456, + 509054171, + -1, + -1, + 452743450, + 425177083, + 536765217, + 391920136, + 878986406, + 128362007, + 449567347, + 583160206, + 651869906, + 689817085, + 907581290, + 777481408, + 317730255, + 308254214, + 303790555, + 365249705, + 423963930, + 790854643, + -1, + 128850206, + -1, + -1, + 511624908, + 911402191, + 726848474, + -1, + 533805318, + 326783237, + 492480606, + 646201445, + 447501667, + -1, + 177459451, + 676251846, + 429539810, + -1, + 184185531, + 496809349, + 718205787, + 419954607, + -1, + 320455569, + 28338169, + 255639373, + 960903313, + 560205798, + 731053680, + 867639486, + 627125841, + 156982250, + 944296318, + 753301318, + 129189242, + 696212702, + -1, + -1, + 643523657, + -1, + 110923922, + 749565983, + 163313441, + 472568972, + -1, + 535689342, + -1, + 124355243, + 788395443, + 856506333, + -1, + -1, + 521118137, + 828246640, + 332390679, + 937777484, + 630631531, + 879320822, + -1, + 523902144, + 150174343, + -1, + -1, + -1, + 666606954, + 500056893, + -1, + -1, + -1, + -1, + -1, + 280113447, + 350742465, + 883133729, + 575732475, + -1, + 537983025, + -1, + 511441188, + 253106166, + -1, + 788805935, + -1, + 769538323, + 370192000, + 868181725, + 491358037, + 57192662, + 921659811, + 154501707, + 17596592, + 292382359, + 284498511, + 620992825, + 294995112, + -1, + 183212534, + 631142103, + 956200578, + -1, + -1, + 869955339, + 351014547, + -1, + 822482940, + 564667, + 570053060, + 275047423, + -1, + 48195015, + -1, + -1, + 625745691, + -1, + 803301051, + 722943860, + -1, + 839152673, + 644531514, + -1, + 277557308, + 724118260, + 52003164, + 229339516, + 72825826, + -1, + 341698585, + -1, + 370298567, + 740608469, + 573479412, + 268986903, + 736313896, + 534604179, + -1, + 377292804, + 26726917, + 635534509, + -1, + 983669846, + 744939833, + -1, + -1, + -1, + 53384364, + 25399937, + 881695165, + -1, + 544703512, + 437827908, + -1, + 965380391, + 441493324, + -1, + 684488216, + 823714641, + 283025968, + 171661469, + 520675496, + 165132760, + -1, + 281389026, + 707598856, + 50984371, + 755414809, + -1, + -1, + 341783532, + 867324681, + 714376218, + -1, + 158287853, + 915215775, + 302863779, + 928258968, + -1, + -1, + 793264773, + 594588006, + 315631100, + 310542130, + -1, + 627739474, + -1, + 708780499, + 264609498, + 289963822, + 245669163, + 141152489, + -1, + -1, + 124346202, + -1, + -1, + 661629041, + 59409787, + 731183061, + 77960310, + -1, + 859101909, + -1, + 339557472, + -1, + -1, + 264713013, + -1, + 132352623, + 753233175, + 835335135, + 976048524, + -1, + 17550177, + 225998389, + -1, + 819467104, + 911454161, + -1, + -1, + 991953735, + 125004527, + -1, + 562165621, + 667155038, + -1, + 390005863, + -1, + -1, + -1, + -1, + 268340341, + -1, + 77798878, + -1, + 132917216, + 125175175, + 232482520, + 394185455, + 516386255, + 735138555, + -1, + 296469122, + 926868672, + 617400158, + 954004113, + -1, + -1, + 460193183, + -1, + -1, + 807479414, + 109009992, + 226170562, + 736860439, + 685944075, + 733667635, + 592895327, + 472296849, + 512416821, + 344547139, + -1, + 815464523, + 749017827, + 703605433, + -1, + -1, + 178409993, + 591202024, + -1, + 733362585, + 291779707, + 562194893, + 80214344, + 251324276, + -1, + 764501890, + -1, + 660191225, + 511050691, + 585684784, + -1, + 226739802, + 214142312, + 514083184, + 286806133, + -1, + 309956713, + 769961899, + -1, + 975006749, + -1, + -1, + 839753764, + 870975133, + -1, + 345924133, + -1, + 374944167, + 410987943, + 902254812, + 610951827, + 619172533, + 241181748, + -1, + 168492620, + -1, + 331863169, + 897945392, + 784157707, + -1, + 804900901, + 594004403, + 697156697, + -1, + 95903813, + 350657782, + 879561992, + 623007069, + 397299876, + 701001076, + 357355940, + 300045620, + 265736959, + 314242112, + 907549174, + 635290474, + -1, + -1, + 987284562, + 944009031, + 270803275, + -1, + 118892169, + 426147986, + -1, + 471063254, + -1, + 277157824, + 561098725, + -1, + 725361006, + 642910232, + -1, + 338901730, + 112421960, + -1, + 577818050, + -1, + -1, + 167810070, + 230982844, + -1, + 216854696, + 514873150, + 171463268, + 728057291, + 728849329, + -1, + 981683485, + -1, + -1, + 977457191, + -1, + 273147947, + 69730048, + -1, + -1, + 880433553, + 169067017, + 701833831, + 134826948, + 128820602, + 638757853, + -1, + -1, + 379958484, + 6201565, + 380704812, + 667867601, + 693238045, + 148538403, + 96192446, + -1, + 707468630, + -1, + 651470069, + 488423782, + 825732768, + -1, + -1, + -1, + 538888033, + 142354157, + 442968142, + 968248162, + -1, + 257410307, + 33017496, + 193390403, + -1, + -1, + 278556191, + -1, + 568155836, + -1, + 622855965, + 892262678, + 607634646, + -1, + 68036582, + 933976444, + -1, + -1, + 462727638, + -1, + 313474271, + 7673791, + 670345602, + 411764978, + 403164132, + 135729244, + 851234347, + 240974478, + 58520389, + 216824625, + -1, + -1, + 523095305, + -1, + 46451510, + 515987574, + 104447534, + 375650055, + 233253393, + -1, + 733138230, + 698889145, + -1, + 834435891, + 987564542, + 234460996, + 232478480, + 347028665, + 680187150, + 374176958, + -1, + -1, + 713524320, + 482009985, + 111164944, + 76087087, + 571955917, + -1, + 678193464, + -1, + 494932869, + 637622231, + 953958010, + 472608123, + 285156183, + 311159526, + 87101139, + 200738066, + 251202441, + -1, + 358415684, + 411824003, + -1, + 822373198, + -1, + -1, + 587183125, + 300385420, + 415988314, + -1, + -1, + 512899309, + 480487580, + 362630940, + -1, + 925732689, + 98551437, + 737474798, + 811672297, + 427594825, + -1, + 702815016, + -1, + 966638190, + 250811618, + 481390581, + 942104185, + 599261410, + 540920119, + 483311836, + 560578699, + -1, + -1, + -1, + -1, + 379796722, + -1, + 758581678, + 93142889, + 732725275, + -1, + 828108367, + 582006604, + 942930244, + -1, + -1, + 647199828, + 791973748, + 720414769, + 465669527, + 729061313, + -1, + 914781804, + 387102059, + 909676462, + -1, + 693235954, + 416509695, + -1, + -1, + -1, + 294507165, + 550059644, + -1, + 972576159, + -1, + 417820125, + 779158640, + 669217627, + -1, + 305572129, + 551553431, + 271655498, + 755189976, + 801832092, + -1, + -1, + 230129517, + -1, + -1, + -1, + 217264123, + 984302183, + 167243525, + 731815283, + -1, + -1, + -1, + 454969273, + -1, + 541355758, + 28408462, + -1, + 792167574, + 187556901, + 264389121, + -1, + 732481262, + 232371609, + 256737972, + 317988896, + 170628197, + 401738238, + 89161924, + 624332647, + -1, + -1, + 364127697, + -1, + 903269102, + 717540661, + 83654409, + -1, + 840113731, + 785115880, + 416590426, + 682229184, + -1, + -1, + 503753445, + 294861064, + -1, + 160499731, + -1, + 428843455, + -1, + -1, + 146617242, + -1, + -1, + 431803878, + 670871584, + 454587301, + -1, + 527609885, + 73330810, + 637240404, + 201898161, + 930394432, + 627115105, + 397516787, + 359381172, + 211769147, + -1, + 380120860, + -1, + 423235468, + 850233053, + -1, + 157668995, + 861904025, + 479532139, + -1, + 583884572, + 8438526, + -1, + 750547198, + -1, + -1, + 16455333, + -1, + -1, + 252698275, + -1, + 104024806, + 190799968, + 849279551, + 804978538, + 612892611, + -1, + 98989246, + -1, + -1, + 828643125, + 972111601, + -1, + 543157994, + 719200689, + 261370243, + 520998344, + -1, + -1, + 732924879, + 96149779, + 995819615, + 492480148, + -1, + -1, + 687434104, + 932376409, + 153069835, + -1, + -1, + -1, + -1, + 396966311, + 579826326, + -1, + 913642652, + 177440393, + 458469232, + -1, + 612560502, + -1, + 506224524, + -1, + -1, + 207437913, + -1, + 359933547, + -1, + 881178006, + 807100483, + 146524501, + 904074801, + 809932419, + -1, + 337747669, + 244532389, + 447377090, + 240790787, + 553952377, + -1, + 357523654, + -1, + 499859853, + 149785294, + 455833250, + 503719203, + 559655933, + 55816350, + 684556768, + -1, + 613539838, + -1, + -1, + 112526727, + 181332717, + 221144899, + -1, + 887021090, + 278862102, + 58497659, + -1, + -1, + -1, + 987026458, + 685695280, + 95321028, + 405030385, + 968299734, + 43007697, + -1, + 351164553, + 904378623, + -1, + 335810854, + 362414856, + 537397505, + -1, + 835060536, + -1, + -1, + -1, + -1, + 834653468, + 15189916, + -1, + 58213873, + 230118617, + 361429513, + 373854670, + 778025579, + 704645798, + 362966998, + 698244612, + 312433189, + 727080087, + -1, + 489640538, + 890513070, + 554663133, + 154215357, + 196282219, + 661620754, + 453701154, + -1, + -1, + 612393821, + 765438221, + 265917166, + -1, + 105980268, + 738394388, + -1, + 826541244, + 241856081, + 457553113, + 59852497, + 700563239, + -1, + -1, + -1, + 351597241, + 551567003, + -1, + -1, + -1, + 937111701, + -1, + 128739876, + 767732239, + -1, + 388485093, + -1, + 30813955, + -1, + 726224918, + 616557177, + 341427922, + -1, + 599798575, + 341534957, + 151307183, + 22445966, + -1, + -1, + -1, + 999939538, + 662994817, + 752517335, + -1, + 95950470, + -1, + -1, + -1, + 147881885, + 234049574, + 159631585, + 676677861, + 290986260, + 948254269, + 986327200, + 219976916, + 849858734, + 219591241, + 400064233, + -1, + 51701039, + 220744657, + 221768393, + -1, + 56877584, + 104338350, + -1, + 27730932, + 573356863, + -1, + 488531469, + 824746954, + -1, + 419350143, + 190945232, + -1, + -1, + 280326719, + 177969734, + 132516352, + 359137813, + 129504662, + -1, + 112977348, + 349299693, + -1, + 359083297, + 408308752, + 96348003, + 767003056, + 601232899, + 864788522, + 122505193, + -1, + 652536678, + 330209620, + 797014908, + 191915874, + 111749391, + 931111887, + 63021881, + 779263290, + -1, + -1, + 552350542, + 333824994, + 397247437, + -1, + 556558361, + 280126830, + -1, + 6554703, + 323617856, + 695740620, + 270822931, + -1, + 84694269, + -1, + 244062411, + -1, + 794729443, + 411093406, + 624003057, + -1, + 100040430, + 576498830, + -1, + 487176886, + -1, + 107162720, + 504768151, + 778912418, + 771795996, + 102669127, + 556220074, + -1, + 709521021, + 767966463, + -1, + -1, + 409782374, + -1, + -1, + 658382299, + 998872859, + 619201297, + 734262422, + 628750215, + 123687805, + 624242939, + -1, + -1, + 106556679, + -1, + 348591556, + -1, + 525130275, + 491831486, + 427788027, + 419374772, + 530097227, + 306584796, + -1, + -1, + 77218962, + 804547642, + 159361473, + 624587109, + -1, + 382736889, + 584995213, + 84470208, + 204842914, + 566374692, + 203025758, + 345383186, + 192594766, + 167907871, + 288390534, + -1, + 384948586, + 154931649, + -1, + -1, + -1, + 287087871, + -1, + 865434219, + 282989746, + 424833207, + 118480092, + 98607051, + 672620208, + 933715367, + 153549809, + 463722928, + -1, + 352503513, + 509986511, + -1, + 154866006, + 356258852, + 910287283, + 84245838, + 8425011, + -1, + -1, + -1, + 294312116, + 995637828, + -1, + -1, + 800608554, + 615680668, + 211141909, + 35262192, + 706399618, + 813902122, + 74992951, + -1, + 23418994, + 338097402, + -1, + -1, + 449254700, + 499790978, + 95924780, + 904130330, + 229948175, + -1, + 798912719, + 202044843, + 216235000, + -1, + 435355550, + 683974604, + -1, + 116899222, + 506549590, + 777794715, + 667058603, + 860369161, + 988036116, + 133337354, + 544774099, + -1, + 424743800, + 6620275, + 847892038, + -1, + 877642316, + -1, + -1, + 701518376, + 418589666, + 438236578, + 75343804, + 583722816, + 766747259, + -1, + 268565085, + -1, + 916097682, + -1, + 927046332, + 640509827, + -1, + 95839762, + 199686419, + 942506032, + -1, + 491204536, + 10445186, + -1, + -1, + 879293269, + 911671561, + 610869444, + -1, + 329082946, + 711751899, + 655933926, + 929888220, + 351715125, + 314147821, + 11551036, + 969487409, + -1, + -1, + 462858190, + 561918829, + 676595991, + 745047164, + 962655734, + -1, + 227349320, + 621960709, + 380820351, + 792254941, + 881821747, + -1, + 182527482, + 24287488, + -1, + 819986523, + 138447545, + 263400259, + -1, + -1, + 724775450, + 189802118, + 742414358, + 417248034, + -1, + 981396319, + 976642151, + 473182197, + 864020911, + 676799005, + -1, + -1, + 286610107, + 37768602, + 652307379, + 730842136, + 514892751, + 67786390, + 100806314, + 244074015, + 975614563, + 949704145, + 627424351, + -1, + 50421684, + -1, + -1, + 774024105, + 146509283, + 172234338, + -1, + 405883144, + 341699762, + 590084921, + 332580811, + -1, + -1, + 397373286, + 8524379, + -1, + -1, + 148248287, + 934509961, + 74179652, + 527501819, + 524756479, + -1, + 777962798, + 510217466, + -1, + 31710170, + -1, + 599571044, + 419944093, + 89457042, + 522273703, + -1, + 562928353, + 103423247, + -1, + 109586025, + 314112351, + 575275341, + -1, + 829011922, + -1, + 129900180, + 438867958, + -1, + 87566171, + 688864125, + 561607611, + 630864110, + 485639786, + 802111927, + 779297939, + -1, + -1, + 524916755, + -1, + 353939018, + 382809102, + 292292444, + 482033982, + 476012231, + -1, + 772279258, + -1, + 274774485, + 48938117, + 206781713, + 705697491, + 382210253, + 849365409, + 187344384, + -1, + 896710930, + -1, + -1, + -1, + 897965335, + 56461925, + 803428482, + -1, + 815351104, + 964259198, + -1, + 590266638, + 47076766, + 603461244, + 495441406, + 942933663, + 614620949, + 903310827, + -1, + 235649403, + 849467315, + 6687953, + 892510735, + 704272012, + 711310501, + -1, + 910617913, + 196964898, + 699142470, + -1, + 747177062, + 546722756, + -1, + -1, + 872692345, + 874239184, + 13765083, + 763613160, + -1, + -1, + -1, + 579021474, + -1, + -1, + 384759184, + 27839251, + 61924578, + 557291473, + 800653020, + 664337761, + 229434715, + 54404470, + 767764129, + -1, + 505474, + 488342006, + 12801211, + 562629174, + -1, + -1, + 860125322, + -1, + 862045282, + -1, + -1, + -1, + -1, + 893215115, + 686620420, + 631179534, + -1, + 357354980, + 221083259, + -1, + -1, + 929978278, + -1, + 311137851, + 487679712, + 987717801, + 515997114, + 748645858, + 883315913, + 4039777, + 151953796, + -1, + 796384388, + -1, + 841866448, + 97131578, + 795137504, + 855588295, + -1, + 87085404, + -1, + -1, + 171787449, + 460736410, + 182262886, + 714205169, + 569178407, + 104396675, + 767264181, + 89656716, + 845011403, + -1, + 469219376, + 878065964, + 503852522, + -1, + 763578927, + 941159670, + 410845054, + 6938884, + -1, + 769159161, + 103097392, + 442170450, + 649342373, + -1, + 693030653, + 375745159, + 749915378, + -1, + -1, + 172284604, + 90978836, + 763654913, + -1, + 234315259, + -1, + 494825571, + 68197780, + 902916530, + 576820304, + 869028428, + 664532315, + -1, + 476634957, + 45697614, + -1, + -1, + 594610156, + -1, + -1, + 991673382, + 758515099, + 734459221, + 581198766, + 590421764, + 845639982, + -1, + 400047567, + 259596729, + 305358721, + 529892557, + 22896757, + -1, + -1, + 314538845, + 106171351, + -1, + 68201826, + 80480379, + -1, + 130883508, + -1, + 627912556, + 767012172, + 584010945, + 81412091, + -1, + -1, + -1, + -1, + -1, + 524797902, + 956123925, + 78741782, + -1, + 591012188, + 641060782, + 895604263, + 541926185, + 772909164, + -1, + 122797071, + 537724148, + 849919823, + 197107514, + 50984978, + 268816861, + 120277494, + -1, + -1, + 909173596, + 400035334, + -1, + 195131786, + -1, + 737258337, + -1, + 49921556, + 644049672, + 474314492, + 961649681, + 939437392, + 179577294, + 786870522, + 973724507, + 443888014, + -1, + -1, + 315476781, + -1, + 644057722, + -1, + -1, + 857016046, + 647526083, + -1, + 946690094, + 25310396, + 470115021, + -1, + 856793518, + -1, + 390599005, + 813372887, + 70657309, + 412510038, + 545928171, + -1, + 210787164, + -1, + -1, + 693354276, + 782699787, + 481473344, + 925360740, + 79667323, + -1, + 314948208, + 394888324, + 122073337, + 420616579, + 168144795, + 3280495, + 69274722, + 262602735, + 552975833, + -1, + 590981965, + -1, + -1, + 886535032, + 536354507, + 461586013, + -1, + 538224569, + 788018693, + 388070090, + 940268762, + 170953311, + 3446348, + -1, + 674515671, + -1, + 178981897, + 490473961, + 204825680, + 898564330, + -1, + -1, + 123346016, + 278532707, + 934830403, + 319784282, + -1, + -1, + 114986150, + -1, + -1, + -1, + 419827673, + -1, + 7219927, + -1, + -1, + -1, + 867112432, + 985009202, + 457240675, + 677439664, + 649065106, + -1, + 146616287, + 798629022, + 2780391, + -1, + 297194933, + 68113636, + 485360794, + -1, + -1, + 654973097, + 429181956, + 998303265, + 330356927, + 999895411, + 134279409, + 596222699, + 407929149, + 888780868, + 574157671, + 557591328, + -1, + 127327638, + 281344041, + 425552480, + 232362527, + -1, + 680418945, + 453129161, + -1, + 918903300, + 839617052, + 868465949, + -1, + 138733485, + 784520738, + -1, + -1, + 545599951, + 174987181, + 889218942, + 608283311, + 737081800, + -1, + -1, + -1, + 514008391, + -1, + 4688665, + 636898245, + 912193615, + -1, + 244982285, + 59169047, + 873788916, + 768514983, + -1, + -1, + -1, + 221455559, + 529351290, + 981937934, + 751273466, + 566656627, + 776140823, + -1, + -1, + -1, + 445100637, + 953918268, + -1, + 381938258, + 765669769, + 193039555, + 371966626, + -1, + 380422464, + 517567244, + 379413781, + 838988959, + 216376058, + 462535695, + 2468059, + -1, + -1, + -1, + 988765597, + -1, + 318631691, + 494289655, + 84523357, + 630963992, + 688277810, + -1, + 688507554, + 974268578, + 793922009, + 578448275, + -1, + -1, + 735961270, + 106884437, + -1, + 26522993, + -1, + -1, + 939236086, + 195202064, + -1, + 802441856, + -1, + 513017111, + 970692280, + -1, + 924846499, + -1, + -1, + 621559075, + 926935798, + 773730865, + 338979582, + 530142829, + 420624974, + 844114779, + 267321373, + -1, + 172994746, + 403464990, + 632013688, + 749994496, + 754186800, + 780658041, + 314982894, + 32775745, + 865098830, + -1, + -1, + 645413812, + -1, + -1, + -1, + 474806298, + 284793294, + 589970361, + 743490949, + 497731734, + 557965271, + -1, + -1, + 629088096, + 226855430, + 545860775, + 983398404, + 148443688, + 596483481, + 758854369, + 60217399, + 653966958, + -1, + 7034881, + 638806448, + -1, + 740515575, + -1, + -1, + 718775718, + -1, + -1, + -1, + -1, + -1, + 733482803, + -1, + 806793079, + 319897842, + 251759551, + 196994859, + -1, + -1, + 427905509, + 532471736, + 283895542, + 712041752, + 593380063, + 933947804, + 901881542, + 816611440, + 993655281, + -1, + -1, + -1, + -1, + 291562129, + 205948045, + 60716453, + 178187612, + -1, + 788835796, + 465034877, + -1, + 714108605, + 287274562, + 668024896, + 51124866, + 813612422, + 369546246, + -1, + 533741736, + 169249016, + 464292830, + -1, + -1, + 580644665, + 882358293, + 363681148, + -1, + 641638278, + 402920398, + -1, + 687486062, + 286274350, + -1, + 542425779, + 167192943, + -1, + 192628655, + 827457051, + 528613318, + 150997036, + -1, + 55104924, + -1, + 236965271, + 476468065, + 245161541, + -1, + 215362857, + 887066618, + -1, + 452730912, + 260823026, + 671681999, + 437146023, + 535413657, + -1, + 483043338, + -1, + 65564804, + 265616566, + 580885583, + -1, + 84950495, + 778637911, + 340335872, + 341996535, + 798648647, + 307275416, + 259123950, + 523426818, + -1, + 138500183, + -1, + -1, + 313445613, + 945794666, + 247634687, + -1, + 693010484, + 903120165, + 433448096, + 504808275, + -1, + -1, + 939522014, + 841331683, + 834530287, + 372180069, + 895010852, + 751835887, + -1, + -1, + 269893083, + 774593399, + -1, + -1, + 693982773, + 103851432, + 929349457, + 674863764, + 618698916, + 80731743, + 498349694, + 445560072, + 474352183, + 623594150, + 630750531, + 382740826, + 176001478, + 188373044, + -1, + 257576717, + 746944762, + 664089351, + 688798942, + 633919823, + -1, + -1, + -1, + -1, + 320874267, + 749915212, + 150075962, + -1, + 623455898, + 311461541, + -1, + 109509168, + -1, + 887718560, + 67433755, + -1, + 848617388, + 672486174, + 458184766, + 842999409, + -1, + 311024327, + -1, + 982460151, + -1, + 83251436, + 147624248, + 617107638, + 731933983, + 593707222, + 393557702, + 727104554, + -1, + 804263427, + 638475404, + -1, + 287200488, + -1, + 150415155, + -1, + 709399724, + 925311945, + 843626159, + 692712300, + 319308073, + 706628690, + 227497627, + -1, + 118130604, + 673037418, + 315029328, + -1, + 306913173, + 157002504, + 73315021, + 797230178, + 976144581, + 492213920, + 29326813, + 294284544, + -1, + 609294317, + -1, + 187209357, + -1, + 942037781, + 429083867, + -1, + 116571555, + -1, + 55283760, + 847391376, + 218588122, + 682305506, + 110522468, + -1, + 80976812, + 687521611, + -1, + 817189133, + 85834682, + 700855071, + -1, + 462356391, + -1, + -1, + 856678921, + -1, + 856608910, + -1, + 145777033, + 330980644, + 939783524, + -1, + -1, + 177912900, + 421020362, + -1, + 796501143, + -1, + -1, + 405406231, + 667369062, + 305470670, + 96381788, + -1, + 186188036, + 24643054, + 148444535, + 321628948, + 765075182, + 748615743, + -1, + 699958635, + 481188044, + 84840403, + 945918130, + 70745892, + 327551260, + 583813444, + -1, + 656927077, + 51581204, + -1, + 825438817, + 550366306, + -1, + 5482305, + -1, + -1, + 647582059, + 375860579, + 139552921, + -1, + 794613706, + 133010599, + 421377956, + 438147472, + -1, + 74821934, + 595215856, + 969859036, + 262264096, + 264024733, + -1, + 825211213, + 490556101, + -1, + -1, + 657223805, + 106456220, + 103988280, + -1, + 184524345, + -1, + 158414141, + 138242801, + 815254432, + -1, + 829150211, + 938107073, + 253181255, + -1, + -1, + -1, + 173859046, + 27922808, + 802331569, + 337187939, + 373217040, + 619372337, + 246548391, + 404815648, + 744297695, + 748850530, + -1, + -1, + -1, + -1, + -1, + -1, + 610309661, + 437751553, + 988645447, + 978615976, + 148489483, + 943198722, + -1, + -1, + 317246451, + -1, + 984038584, + -1, + 859369954, + 264079827, + -1, + 337162964, + -1, + 55923516, + 608990646, + 549145227, + 846306809, + 611653065, + -1, + -1, + 315553005, + -1, + 986515248, + 321465325, + 235698953, + 46085429, + 370286858, + 587720602, + 649060061, + 135819438, + 706704661, + 663936187, + 49547298, + -1, + 12226078, + -1, + 507403216, + 684500285, + -1, + 138134828, + -1, + 971286367, + 108867263, + 973319173, + 541025637, + 402306341, + 649371455, + 228905948, + -1, + 135445533, + 990749478, + -1, + 90466101, + -1, + 493676792, + 804492487, + 808808507, + 249906151, + 77463129, + -1, + 358510166, + 605134212, + -1, + -1, + -1, + 524535943, + -1, + 421764465, + 517562978, + 440143173, + -1, + 335667973, + 243662472, + 142098842, + -1, + 365250461, + 28269551, + 914217599, + -1, + 973763429, + 462719050, + -1, + -1, + -1, + 166827440, + -1, + 665454181, + 962318287, + 617359783, + -1, + 982363774, + 368093345, + -1, + 591360183, + 278046727, + 660076485, + -1, + 114700288, + -1, + 230920224, + -1, + 477402081, + 83316584, + -1, + -1, + -1, + 697492314, + -1, + -1, + -1, + -1, + 892248783, + 363929304, + 623591788, + 618607860, + -1, + 247495834, + -1, + 568479396, + 289760432, + 222645128, + 831427858, + 424642560, + 387694574, + 3987930, + 121751455, + -1, + -1, + 564269870, + -1, + 898665090, + -1, + 100329902, + 296857025, + 581244553, + -1, + 874118198, + -1, + 55675476, + 883658846, + 512074215, + 46350608, + 402459174, + 733808743, + 794036397, + -1, + 74830626, + -1, + -1, + 316271261, + 273444615, + 606940849, + 870741127, + 335968970, + 120730088, + 453974570, + 282625562, + 768469444, + 360990821, + 512580336, + 207722651, + 429266014, + -1, + -1, + 877220026, + 709673269, + -1, + 946124799, + 545429528, + 626931872, + 426533340, + -1, + 307118082, + 931189335, + -1, + 83485424, + -1, + 274088424, + 822640131, + 851376692, + 866055830, + -1, + 683808814, + 206225453, + 919494749, + 909336383, + 15558785, + 307115456, + 126021420, + 549691464, + 865795014, + 787125848, + 79903591, + 412906559, + 857637047, + -1, + -1, + 62177674, + 548952831, + 297231180, + 329560827, + -1, + 419545591, + 84255372, + 473439912, + 31668364, + 10306416, + 797384530, + 192125716, + 389469837, + 906942366, + 819167016, + 176497116, + 537404472, + -1, + 346276359, + 895443670, + 761098097, + 454969817, + -1, + 646540067, + -1, + -1, + 686127493, + 507639083, + 717364399, + -1, + -1, + -1, + 868946682, + 989415373, + -1, + 878291037, + 262388148, + 27970948, + 866658431, + 34215803, + -1, + 918638063, + 961770935, + 638075163, + 662060830, + 124739337, + 595547500, + 360211908, + -1, + -1, + 698628643, + 114922556, + 879879124, + -1, + -1, + -1, + 552752297, + 359916947, + -1, + -1, + 875250599, + -1, + 867369414, + 220016734, + 146784594, + 656071447, + 308469102, + -1, + 571443445, + 110060265, + 5707691, + 888997996, + 218507852, + 294546518, + 302445433, + -1, + 456966296, + -1, + 277321679, + 613133032, + -1, + 916596051, + 775266920, + 569123943, + 770415378, + 116490384, + 125086714, + 563513743, + 183765312, + -1, + -1, + 224580857, + 189370959, + 595430602, + -1, + 113187731, + 215245971, + 433070481, + 784482744, + 629079666, + -1, + -1, + -1, + -1, + 271586960, + 204182901, + -1, + -1, + 583415707, + 683507866, + -1, + 5307104, + 64279982, + 803282636, + 620967169, + 804321256, + 5541543, + 276475058, + -1, + 214535211, + -1, + 19794757, + -1, + -1, + 86961715, + -1, + -1, + 215485163, + -1, + 268409206, + 571105953, + 394586450, + -1, + 575986319, + -1, + 149124764, + 825048608, + 181293642, + -1, + 722490443, + 363838912, + 231171182, + 220426638, + 50293824, + 792302323, + 926070922, + 927197235, + 301155779, + 757729442, + 858431307, + -1, + 559706002, + 612965669, + -1, + 518500253, + 446582997, + 248846438, + 272904611, + -1, + -1, + 782493678, + 190297211, + 239346538, + 189150321, + 633438329, + 91245993, + -1, + 680929267, + 607540564, + 20820064, + 627150071, + 477206459, + -1, + 481773519, + -1, + -1, + 408071162, + 581708769, + -1, + 332421909, + 292704115, + 453220448, + -1, + 412335343, + -1, + 720512663, + 994783462, + -1, + 689797152, + 762165062, + 549655010, + 575765428, + 525422261, + -1, + 692746806, + 915954740, + 646373045, + 302153532, + 879215026, + -1, + 842960151, + 271097516, + 813179623, + 872657376, + 11801729, + 833610303, + 38629049, + 332099367, + 889687475, + 644881175, + 246226649, + 134181366, + 639722088, + 446650710, + 4572265, + 242629323, + -1, + 700023405, + 782921990, + -1, + 971366097, + 530218597, + -1, + 183744590, + 970415186, + -1, + 217462032, + 135130873, + -1, + 719088804, + 659011698, + 302675952, + 180419445, + 448869262, + 459231492, + 300062899, + -1, + 629226777, + -1, + 589295495, + 560365645, + 245860650, + -1, + 488738730, + 677950754, + -1, + 304861584, + 908666026, + -1, + 738173420, + -1, + 855705941, + 679749080, + 406317343, + 558254200, + 619336517, + 491222454, + 450052080, + 128022796, + -1, + 311460071, + 412302949, + 75511776, + 502256944, + -1, + 891448112, + 214403096, + 704117866, + 414731930, + -1, + -1, + 601162618, + 468743827, + 612809339, + -1, + 565201349, + 960473333, + -1, + -1, + 841134190, + 474037427, + 406966509, + -1, + 99136678, + 956931820, + 454184206, + 957379489, + 562849953, + 440540780, + 590569409, + 523411773, + 254321464, + -1, + -1, + 250010012, + 515164102, + 631036860, + 398403978, + 36214304, + -1, + 860114421, + 997273296, + 520372140, + 310682031, + 288722840, + 209679807, + 639415545, + 477087614, + 366386540, + 726537251, + 976256793, + 720639573, + 76783691, + -1, + 713249850, + -1, + 172832166, + 924035685, + -1, + 676013683, + 478098537, + 529964082, + 87615630, + 921468770, + -1, + -1, + -1, + 345302116, + 635865352, + -1, + 634343086, + 561865398, + 442266381, + 12421117, + 8231390, + 758100469, + 890769810, + 627516012, + -1, + 998347953, + 995457570, + 233899776, + 488670483, + 540492519, + -1, + 460850951, + 734884186, + -1, + -1, + 335112447, + 732549038, + -1, + 1140653, + -1, + 773462559, + 952411008, + 43526770, + 587838408, + 285871295, + -1, + 236239604, + 476955566, + 356615949, + -1, + -1, + -1, + 570404141, + -1, + 314808739, + -1, + 659252716, + 503083427, + 112669187, + 612115156, + -1, + -1, + 405231095, + 338374466, + 93496225, + 401146824, + 900583071, + 685767554, + 752592059, + 429707624, + -1, + 960970676, + -1, + 839377384, + 385813626, + -1, + -1, + -1, + 491018727, + 409671932, + 929188898, + 177227250, + 524686223, + 22894608, + 306811437, + -1, + 291321202, + -1, + -1, + 532985558, + -1, + 416167007, + 620183836, + 884188670, + 468950923, + -1, + 802405520, + -1, + 759609725, + 593180107, + 706955552, + 530716319, + 463475251, + 609252879, + -1, + 138300154, + -1, + 649204883, + -1, + 186847538, + 545594546, + 482088119, + -1, + 53061918, + -1, + 240976517, + -1, + 554534173, + 99188368, + 27397184, + -1, + 23729606, + -1, + 863072038, + 745140677, + 230070976, + 828795697, + -1, + 225106440, + 252666310, + 232136460, + 230343799, + 712876894, + 556594718, + -1, + -1, + -1, + 855532444, + 801753862, + 99674644, + 186201791, + 276651350, + 61044776, + 180290626, + 639424, + 254354233, + 725957341, + 717825415, + 365390348, + 104397223, + 946673140, + 263648569, + -1, + 762402371, + 317731890, + -1, + 185683628, + 897771661, + 584402255, + -1, + 454869902, + 325000686, + 95520386, + 357551064, + 252037460, + -1, + -1, + 644222180, + -1, + 544381397, + 815757225, + -1, + 34991066, + 925768089, + -1, + 397899963, + 941781645, + -1, + 406334596, + 405372459, + -1, + -1, + -1, + 390778522, + -1, + 512856040, + 497692822, + -1, + -1, + 460703095, + 872279110, + -1, + 919827848, + -1, + -1, + -1, + 465569530, + 518537778, + 56075130, + 280695047, + 534958425, + 754025084, + 716546485, + 982966357, + -1, + 775022368, + 360408460, + -1, + -1, + -1, + -1, + 781556307, + 978054427, + 665403367, + -1, + 114678873, + -1, + -1, + 29530526, + 661720764, + -1, + 55635985, + 225475274, + 877701578, + -1, + -1, + -1, + -1, + 582888796, + -1, + 126211029, + 31469375, + 875907501, + 483776472, + 230684028, + 416888907, + 445600566, + -1, + 158710470, + 864201695, + -1, + 480751285, + 117174196, + 20258344, + -1, + 494831844, + 241468418, + 38780284, + 36545250, + -1, + 87378988, + -1, + 978153771, + 461032488, + 726448963, + 266287652, + -1, + 394619966, + 956059900, + -1, + 895908690, + 402743360, + -1, + 514055802, + 728657656, + 719856224, + 408778399, + -1, + 958187799, + 561487057, + 886427029, + 929024795, + 28898080, + 718478982, + 511675186, + -1, + 956891139, + -1, + 592450001, + 336096500, + 725785697, + -1, + 84946699, + 426581598, + 505152585, + -1, + -1, + 963894978, + 488104468, + 148296319, + 589111089, + 657169472, + -1, + 33744714, + 805436505, + 746180131, + 929041622, + 552878209, + -1, + -1, + 572271009, + 378539294, + 443251385, + 336477999, + 243724567, + 93547617, + -1, + -1, + 137287435, + 749572893, + -1, + 473772163, + 813089628, + 511919414, + -1, + 432440803, + 199758187, + 796168743, + 832202469, + -1, + 426521534, + -1, + 829286227, + 311764167, + 683272583, + 521072906, + 810828827, + 319913813, + 77454259, + 92078311, + 250684676, + 78482364, + -1, + 256570960, + -1, + 263376122, + -1, + 178881351, + 418405950, + -1, + 228102045, + 132654227, + 699979385, + 104224130, + -1, + 18696729, + 291317654, + -1, + -1, + 55198059, + -1, + -1, + 413054144, + 664629761, + -1, + 289140637, + 913979658, + 788220773, + 864102193, + -1, + 833311753, + 944670715, + 408903983, + 293615945, + 997356522, + 224831004, + 505658151, + 388777169, + 345564289, + 500222960, + 62417566, + 813960533, + 197188674, + 480934333, + 262804567, + 32006768, + 104485753, + 779641224, + 737698857, + 253280614, + -1, + 261599272, + 10318214, + 450386765, + 101705561, + -1, + -1, + 971900232, + -1, + 924102967, + 473709721, + -1, + 735478932, + -1, + 697661143, + -1, + 867105463, + -1, + 245963379, + 470290392, + -1, + 36505690, + 159867620, + 400404509, + 42625794, + 722267893, + 710042196, + 736354135, + -1, + 686480745, + 197318085, + 979312567, + 716421130, + 89035, + 978961085, + 925291383, + 19078064, + 656936462, + 993679542, + 263678525, + 713431445, + -1, + 883619727, + 765285990, + 200894245, + 726831465, + -1, + 914668643, + -1, + 223591083, + 862587089, + -1, + 64308220, + 734779419, + -1, + 215924033, + 756821477, + 746444797, + -1, + 19143861, + 211904550, + -1, + 282638827, + 638461971, + 872560751, + 790333456, + -1, + 799017761, + 797280871, + 794644521, + 447871199, + 109494449, + -1, + 19748904, + -1, + -1, + 414684562, + 239235558, + 542475768, + -1, + 828507733, + -1, + 948580639, + 512650444, + 51753806, + 936140632, + 756071535, + 285112074, + -1, + 137464286, + 718157555, + 269307320, + -1, + 44998908, + 896783028, + 156708206, + 330038911, + -1, + 435467002, + -1, + 767707226, + 890535000, + 675945353, + -1, + 302183675, + 904570407, + 166608698, + 115286694, + -1, + 112870898, + 25993534, + -1, + -1, + -1, + -1, + 106575580, + 920844190, + 102985699, + 843576962, + 769167214, + 428381868, + -1, + 581334563, + 60857639, + 117018394, + 378496482, + 421620542, + 223034354, + 838630780, + -1, + 704289428, + -1, + 810106055, + 693822716, + 707452945, + -1, + -1, + -1, + -1, + 903392144, + -1, + 787058100, + -1, + 78273506, + 958973659, + 290735357, + 22969408, + -1, + 776622901, + -1, + 255035779, + 975139857, + 809983297, + -1, + 30743843, + 275461, + 802048457, + 711167746, + 961783499, + 6253526, + 567492099, + -1, + -1, + -1, + 803445445, + 437933033, + -1, + -1, + -1, + -1, + 3131357, + 777096145, + 696895626, + -1, + -1, + -1, + 58059119, + 803263617, + -1, + -1, + 381051608, + 484319431, + 33713782, + 677348577, + 214164775, + 88313253, + 754284989, + -1, + 641737724, + -1, + -1, + -1, + 480399834, + -1, + 282564432, + -1, + 452750084, + 91864699, + 568037304, + 461064096, + 579196291, + -1, + 962871683, + 486081646, + 426216156, + 618126377, + 884841535, + 215043328, + -1, + 831163646, + 955791078, + -1, + -1, + 623765649, + -1, + 219988000, + 847618542, + 318915948, + 454188152, + 864856853, + 941570028, + 74045336, + 819692988, + -1, + 189902226, + 490838584, + 541910834, + 29553755, + 988477931, + 390377478, + 402820826, + -1, + 717728412, + 318120470, + 758048402, + 618086541, + 253123732, + 755877508, + 594041550, + -1, + -1, + 543827176, + 417721502, + 742335190, + 467655788, + 245711939, + 129193921, + 671486944, + -1, + -1, + 577767970, + 545635805, + 676391515, + 769052156, + 889193304, + 986370862, + 704670208, + 830641073, + 111651117, + 16443478, + 840980561, + 642107082, + 161549639, + 668379921, + 646195980, + 77013867, + -1, + 544349231, + 420304942, + 447598180, + 344577787, + -1, + 648528323, + 309679710, + -1, + 590840040, + 399538720, + 635934797, + -1, + -1, + 467306247, + -1, + -1, + -1, + 940126638, + 344882309, + -1, + 146961806, + 336390606, + 15670594, + 891590582, + 320328197, + -1, + 276372776, + 134068233, + -1, + -1, + 194442419, + -1, + -1, + 46483234, + -1, + 633819644, + 736942696, + 382688648, + -1, + -1, + 681156176, + 749687269, + 5968671, + -1, + -1, + 39268319, + 678426100, + 586411954, + -1, + 411458848, + -1, + 723878596, + 279953077, + 336629344, + 835165324, + 179834565, + 385837319, + 844580813, + 397458953, + 629200226, + 788715139, + 10848533, + 902392026, + -1, + 111242705, + 608268348, + 97132236, + -1, + 603215592, + -1, + 150896018, + 541891697, + 808532814, + -1, + 268756405, + -1, + 566700813, + 40113144, + 547069793, + 101465505, + -1, + 503987413, + 421353634, + 31000413, + 467751033, + 59804392, + 878454525, + -1, + 328986855, + 555086579, + 622885408, + -1, + 777372761, + -1, + 802323177, + 300274870, + 405504820, + -1, + 795398016, + 988499608, + 416929812, + 694811621, + 153173176, + -1, + 187812375, + 925341539, + 765078155, + 373399337, + 678504639, + 501026766, + 153113718, + 678303926, + 340352693, + 110721851, + -1, + 690560396, + 86652834, + 634830660, + 954423336, + -1, + -1, + 74311009, + 191818642, + -1, + -1, + 122819894, + 965211621, + 434017091, + 961411243, + 622729857, + -1, + 531722011, + -1, + 559700410, + -1, + 362986664, + 901929462, + 926958142, + 346850354, + -1, + 784800694, + -1, + 57389583, + 898582125, + 295929033, + -1, + -1, + -1, + -1, + -1, + -1, + 368116940, + -1, + 34149997, + 424577294, + -1, + 839962138, + -1, + 839550226, + 506193402, + 30392416, + 504784517, + -1, + 736888931, + 653735335, + 211755831, + -1, + 619363772, + 646857021, + -1, + 274214848, + 851814648, + -1, + -1, + -1, + 582274440, + 744829882, + 872474123, + 780864604, + 449971872, + 122671853, + 758006832, + 709110027, + 769017133, + -1, + 190682838, + -1, + -1, + -1, + 27801625, + -1, + 386944346, + -1, + -1, + 742944379, + 917212012, + -1, + 647911812, + 549361353, + 665053342, + 854131281, + 838369910, + 68908659, + 251424292, + 827584346, + -1, + -1, + 222202856, + -1, + 924880091, + 866397559, + 643834987, + 587133385, + 125398247, + 952980635, + 522409404, + 132820530, + 524932747, + 488620864, + 309710784, + -1, + 528740976, + 564307137, + 141074572, + 507780420, + -1, + 12458827, + 161732136, + 382046460, + 859634317, + -1, + -1, + 606574165, + -1, + 372854591, + 371593619, + -1, + -1, + 360388236, + -1, + 567758002, + -1, + 199476899, + 836601954, + 385257878, + -1, + 779530861, + -1, + 386390589, + 769803074, + 977775758, + 936638813, + 802649774, + 220375397, + 49140008, + 785556105, + -1, + 914642057, + 404223888, + 730884312, + 240712093, + -1, + 192375381, + 393239027, + 163899242, + 683873823, + 948538785, + 295189465, + 951038455, + 981859186, + 312991170, + 897202773, + 357458061, + 91551877, + 702082392, + -1, + 463315848, + -1, + 330331229, + -1, + -1, + 414113346, + -1, + 115310459, + 512024387, + 602119893, + 680979694, + 131214595, + 616457064, + -1, + 212681406, + 309899843, + -1, + -1, + 405028735, + -1, + 337712516, + 478384003, + -1, + 450684162, + 896345784, + 618290682, + -1, + 134741707, + 305731437, + 658158816, + -1, + 431923499, + -1, + -1, + 500955448, + 82935772, + -1, + 10900244, + -1, + 137952675, + 270993548, + 323201821, + 62984121, + 369379188, + -1, + -1, + 257908447, + -1, + 910113059, + 11751730, + 301842112, + 957703343, + -1, + -1, + 777204421, + 841742016, + -1, + 121242579, + 531291281, + 708254060, + 199494339, + 781047794, + 823466105, + 575288727, + 340368948, + -1, + 668422739, + -1, + 912038042, + 452829535, + -1, + -1, + 566899725, + 361629343, + 574804921, + 338076394, + -1, + 289050720, + -1, + 933781716, + 634378361, + 973485092, + 890435101, + -1, + 854979471, + 742984457, + 702860046, + 87638955, + 981894969, + 644792954, + 110304757, + 940748628, + 69402910, + 340493881, + 576596168, + 340560270, + -1, + 300485718, + 953602077, + -1, + -1, + 277536150, + 334644253, + 222016513, + 608626665, + 152605129, + -1, + 963416305, + 344593179, + 613076111, + -1, + 776480363, + 672312554, + 740538383, + 68699977, + 362735625, + 445091130, + 575031085, + -1, + 522190316, + 995023291, + 819028956, + -1, + 335637478, + 288897641, + 650172938, + 593010900, + 774269471, + 831547259, + 335019333, + -1, + 521582193, + 166418346, + 618327153, + -1, + -1, + 63365315, + -1, + 516008815, + -1, + 208658177, + 819733048, + 682684039, + 539841283, + 478418331, + -1, + 776777732, + -1, + -1, + 307010260, + 20600826, + 679008314, + 756243257, + 557663719, + 134073396, + 79891584, + 432753264, + 530054425, + 367926825, + -1, + 708033716, + 256855081, + -1, + 508399388, + -1, + 466248189, + 536877412, + 469420098, + -1, + 516179897, + -1, + 973242060, + -1, + 178256612, + -1, + -1, + 362150432, + 368577552, + 557501389, + 623152201, + 415079321, + -1, + 241701066, + 522874893, + 331356147, + -1, + 995714263, + -1, + -1, + -1, + 264378772, + 184916754, + 416645432, + 5514278, + 377074524, + 115497460, + 767624129, + 232492734, + -1, + -1, + 907303399, + 689708934, + -1, + 715923480, + 63275757, + -1, + 219007742, + 754047715, + 433375047, + 134375893, + 619074537, + 895458460, + 954902835, + -1, + 569024737, + 775508539, + 70513132, + 25581259, + -1, + 260155399, + 274319415, + 118845978, + 3452597, + 348434267, + 870682363, + -1, + -1, + 593423991, + -1, + 692852794, + 112502220, + 765037704, + 7384247, + 15566531, + 143608135, + -1, + -1, + 529267806, + 525408383, + 235119545, + -1, + -1, + -1, + 293058273, + 646740265, + -1, + -1, + 526378535, + 158067907, + 928427599, + 639092103, + 845850280, + 470005921, + 174969680, + 784240022, + 607906812, + 413702004, + 82729784, + 878238086, + 759890346, + 35115319, + 946223184, + 398682508, + 517812886, + -1, + 83699819, + -1, + 986338146, + 676790991, + 345948671, + 817460756, + 956564879, + 87124629, + 496307441, + 65710233, + 211641465, + 508436412, + -1, + -1, + -1, + 935135006, + -1, + 639688032, + 730465333, + 28612276, + -1, + 807145335, + 724994527, + 847903760, + -1, + -1, + 791588847, + 107902711, + -1, + 398691918, + -1, + -1, + 272751275, + 591141747, + 421709264, + -1, + 499820018, + -1, + 479694283, + -1, + -1, + 97426793, + -1, + 683166426, + 902163665, + -1, + 582051546, + 522573469, + -1, + -1, + -1, + -1, + 253541687, + -1, + 102946088, + -1, + 122407466, + 766028736, + 589279652, + 162952430, + -1, + 243043069, + -1, + 9815845, + 290264705, + -1, + -1, + 485749774, + 834009963, + 417092228, + -1, + 900475054, + 694018107, + 283017861, + 491219571, + 368096537, + -1, + 623213949, + -1, + -1, + -1, + -1, + -1, + 880281059, + 501931161, + 932747547, + 442743796, + 857621700, + -1, + 387704660, + 610292068, + -1, + 49223296, + 54166479, + 660929766, + 509869953, + 206242869, + -1, + -1, + 921959995, + 812618294, + -1, + 143933907, + 17271713, + 389215463, + 911095590, + 332633752, + -1, + 362522344, + 514875425, + 322944339, + -1, + 711312188, + 332677761, + 103979837, + -1, + 28543875, + 285199625, + 70787014, + 746330935, + 411799885, + -1, + -1, + -1, + 141542780, + 381730257, + 626192693, + -1, + 346228635, + 410932838, + -1, + -1, + -1, + -1, + 357820769, + -1, + -1, + 769232244, + 241946344, + -1, + 235284838, + 661283196, + -1, + 671585516, + -1, + -1, + -1, + -1, + 366003530, + -1, + 903934498, + -1, + -1, + -1, + 542430372, + -1, + 131095498, + -1, + 619763452, + 496059300, + -1, + 230948945, + 622328665, + 975309418, + 223148218, + 643409153, + 104014014, + 903416285, + 205599299, + 819032872, + -1, + 798689505, + -1, + -1, + 100054609, + 359682398, + 868217905, + 937475050, + 643190846, + -1, + 547871420, + -1, + 451236903, + 728289103, + 90197919, + 344592586, + 989587302, + -1, + 969191523, + 983774835, + -1, + 738586339, + 113003683, + 389594973, + -1, + 700512658, + 952870639, + 796071406, + -1, + 765218831, + -1, + 852560940, + 590405672, + 459066159, + 326101688, + -1, + 687943895, + -1, + 403228267, + 987060781, + 845214412, + -1, + -1, + -1, + 452686934, + 57591394, + 328902897, + 736280592, + 155814192, + -1, + -1, + 339465048, + -1, + -1, + 478794900, + -1, + 124333054, + -1, + -1, + -1, + -1, + 910999394, + -1, + 471690900, + 996709590, + 898721535, + -1, + 182910678, + -1, + 809410481, + 250645793, + -1, + -1, + -1, + 993286552, + -1, + 126393786, + 801703280, + 177852035, + 937212341, + 507640931, + 748664482, + 853585707, + 613564757, + 292575178, + -1, + 246008833, + -1, + -1, + 283139088, + 789074741, + 693358722, + -1, + -1, + 157231154, + 915096494, + 285016510, + -1, + 579168723, + -1, + 956395303, + -1, + -1, + -1, + -1, + -1, + -1, + 229782492, + 407561171, + 895316785, + -1, + -1, + 369215753, + 431310951, + -1, + 495221400, + -1, + 337172083, + 284235553, + 549265816, + 497476649, + -1, + 164679649, + 128833159, + 911427666, + 235397201, + 153206657, + -1, + -1, + -1, + 30390570, + -1, + 913144780, + 165446808, + 286973513, + -1, + 825737601, + 490862703, + -1, + -1, + -1, + 916925266, + 221260476, + -1, + 399175678, + -1, + 715380556, + 431529015, + -1, + 465091577, + -1, + -1, + 31231167, + 810439916, + 948282961, + -1, + 56215144, + -1, + 34761503, + 871425042, + -1, + 537527143, + 772739273, + -1, + 211233440, + 703845568, + 700254284, + 700790884, + 473124886, + 196958000, + -1, + 127971064, + -1, + 185482903, + -1, + 932081087, + 824702528, + -1, + 468965016, + 821266021, + -1, + 8292185, + 214428676, + 987088414, + 801422292, + 349028079, + 350774146, + 269725849, + -1, + 830933783, + 981391237, + 991936371, + 889303881, + -1, + 437082661, + 566030094, + 44463818, + -1, + -1, + 446201697, + -1, + -1, + -1, + -1, + 555652757, + 573054460, + 242469905, + 107210705, + 465538756, + 598408223, + 664847276, + 247996377, + -1, + 109713889, + -1, + -1, + 136259040, + 31393948, + -1, + 174628150, + 4484718, + 871953885, + 61311261, + 601868259, + -1, + -1, + 689336427, + -1, + 131010274, + 650556020, + 877778199, + 78107219, + 893924629, + -1, + 42534178, + 7887697, + 15960064, + 578930259, + 98912474, + 375419136, + 622340499, + -1, + 168055078, + 279336569, + -1, + 153734504, + -1, + 763030775, + 350876721, + 442323924, + 880131291, + 55573622, + 529527277, + 189973649, + 208132948, + 841300705, + -1, + 930812807, + 190031920, + 960927091, + 67820981, + 976902055, + 250940884, + 344468386, + -1, + 773511294, + -1, + -1, + 633229090, + 283071751, + 993027419, + 925793698, + 500787228, + 346855839, + -1, + 522035374, + -1, + 137036583, + -1, + 204633455, + 958251067, + -1, + 955762786, + 13726454, + -1, + 77696826, + 540635069, + -1, + 358958489, + -1, + 269769628, + 242035881, + -1, + 985989279, + 655497793, + 223308121, + 296723334, + 868656156, + 571617142, + -1, + 288977, + 183754885, + -1, + 227068742, + 155342477, + 913556084, + 15007895, + 586991826, + 800788845, + 469431889, + 962456890, + 281365414, + -1, + 313253605, + 624224498, + -1, + -1, + 685095036, + 78572267, + 896600790, + 463563283, + 720776779, + 766532037, + 725741117, + 684586709, + -1, + -1, + 141807796, + 907100947, + -1, + -1, + -1, + 416263962, + 222739462, + -1, + -1, + 890731336, + 225255804, + 145476209, + 754151426, + -1, + 310026981, + -1, + 146215318, + 712923055, + 837958437, + 264217700, + -1, + 47010681, + -1, + 829413219, + -1, + 248647485, + -1, + 684037657, + 861300480, + 51000751, + 74855520, + -1, + 157410811, + -1, + 966411794, + -1, + 555422393, + 419701421, + 716449186, + 9628054, + -1, + 268654590, + -1, + 334273186, + 338461114, + 234605302, + 159450985, + -1, + -1, + 465798499, + 999744431, + 117718591, + 843700106, + 39293959, + -1, + 116204918, + 590634861, + 253777103, + 576365774, + 77347293, + 397975485, + 571211193, + 249745207, + 820265973, + 230256631, + -1, + 982756582, + 551759646, + 888901046, + -1, + -1, + 73370612, + 553898262, + -1, + 61233828, + 746968386, + 386118172, + 556924870, + 65017903, + -1, + 597596721, + -1, + 130366615, + 722113330, + -1, + 275910320, + -1, + -1, + 239852182, + 739541058, + 953801563, + 527792014, + 745536726, + -1, + -1, + 341110802, + -1, + 275739340, + 910249508, + 699779979, + 160077892, + 16675919, + -1, + 485679418, + 9574971, + 579846104, + -1, + 104824207, + 835372709, + -1, + -1, + 158541663, + 465390692, + 638075005, + 767191334, + 660391883, + 361114809, + -1, + 766746141, + 582265887, + 647715674, + -1, + 442984220, + -1, + 23531671, + 142332190, + -1, + 995707569, + 601263928, + 523802297, + -1, + 68252902, + 642234864, + 525283716, + 939471874, + -1, + 884799332, + -1, + -1, + 319839700, + -1, + -1, + 47286468, + 63073079, + 964242128, + 714925547, + -1, + 336143938, + 874952326, + 654844296, + 861769500, + -1, + -1, + 520669086, + -1, + -1, + 300542845, + -1, + 1001692, + -1, + 339845118, + -1, + 255050403, + 991951134, + 809194237, + 149938420, + -1, + 880821891, + -1, + 674082415, + 464048542, + 167011659, + -1, + 709519312, + 17305303, + 799348629, + 461367911, + 272501961, + 606433299, + 715360494, + 926568504, + 114852108, + 99040553, + 513203861, + 254249992, + 976997089, + -1, + 919070527, + -1, + 841100591, + 275014106, + 460386138, + -1, + -1, + 446049777, + 212938826, + 118091086, + 141780255, + 356440008, + 814792332, + 589032509, + 701715098, + 745225677, + -1, + -1, + 588907617, + 901084880, + 461911374, + 592596382, + 800879612, + -1, + -1, + 433801811, + 46065979, + 331650939, + 729879445, + 470112568, + -1, + -1, + 85934820, + 773541644, + 974297743, + 85894886, + -1, + 359397223, + 760387117, + 233767999, + -1, + 121205412, + 78158875, + 78352651, + -1, + -1, + 262513554, + 467787995, + 150825789, + 285642350, + 472812563, + 986269368, + 903292737, + 166366163, + 684056595, + 88222439, + -1, + 689599340, + 910844393, + 719246795, + 718223678, + 489400898, + 813750596, + 221299, + -1, + 875021964, + 405506043, + 5141879, + 390431289, + 113616669, + 84078075, + 566466526, + 568780776, + -1, + 696667943, + 417073448, + -1, + 410624641, + 268636625, + -1, + 775145455, + -1, + -1, + 701260790, + 826911675, + 484225598, + -1, + 332096164, + 385798059, + 463676067, + 204412973, + -1, + 898875329, + -1, + -1, + -1, + 709725631, + 730882993, + 245311123, + 158265603, + 152152854, + 650873382, + -1, + -1, + 466535576, + 127470130, + 611021533, + -1, + 985844058, + -1, + 960922287, + 656291188, + 964678714, + 883725442, + 938709281, + 403577991, + 769015259, + 798189012, + 220790775, + -1, + -1, + 847469461, + 958611119, + 858488655, + 205582786, + 632996449, + -1, + 631178432, + -1, + 199017396, + -1, + -1, + 259769644, + 485864092, + -1, + -1, + 517588430, + 444049993, + -1, + 63832416, + 619551699, + 337221821, + 496523429, + 371328414, + 317195515, + -1, + 241781400, + 21142975, + -1, + 86159114, + 672710177, + 606600614, + -1, + 53386150, + 552291929, + 375054482, + -1, + 785385210, + -1, + 445117260, + 470757224, + 802928609, + -1, + 446903007, + 578915217, + -1, + 249925430, + 397927539, + 742827168, + 657977847, + 753098135, + 250062149, + 593447907, + 771857119, + 927553053, + 132615787, + -1, + 420762986, + -1, + -1, + 28940888, + 722269360, + 362711995, + -1, + -1, + 728444007, + -1, + 425854336, + -1, + 701567347, + 568495105, + 236387049, + 226170531, + 976627117, + 245192266, + 893946509, + -1, + 942882916, + -1, + -1, + -1, + -1, + -1, + 372142319, + -1, + 49809650, + 279530411, + 95732432, + 539262113, + 556309703, + 902714411, + 246585457, + -1, + -1, + 389783243, + 694869647, + -1, + 41636791, + 509047630, + 797686519, + 342287589, + 825419845, + 845590255, + -1, + 762272652, + -1, + 148704640, + 530122782, + 772350438, + 395436339, + 519908544, + 648369507, + 914574942, + 860384471, + 879596600, + -1, + -1, + 685738545, + -1, + -1, + -1, + -1, + -1, + 627274740, + 682204007, + -1, + 272526279, + 111037702, + 711280082, + -1, + -1, + -1, + 163757593, + -1, + 764128213, + -1, + 337957710, + 735734126, + -1, + 211681986, + 101873622, + -1, + -1, + 549047858, + 367033868, + 567487565, + -1, + 205518315, + 632557621, + -1, + 805878051, + -1, + -1, + 336442790, + -1, + -1, + 632695466, + 603443422, + 23341370, + 53520266, + 679601437, + 515527555, + 494516344, + 598444334, + 241568091, + 924955769, + 441502540, + 267064863, + 339129449, + -1, + 299204964, + 46739483, + 61372587, + 560940105, + 6662414, + 711156769, + 486472644, + 217196312, + 582666441, + 763301492, + 120913993, + -1, + 601290584, + 738586359, + 67126285, + 605080882, + -1, + 153872166, + -1, + -1, + -1, + 715049949, + 288715260, + 940689295, + 980208417, + 124235272, + 422372121, + 307201456, + -1, + 336536440, + 215417870, + 742679896, + 121038732, + -1, + -1, + 447885731, + 473791081, + 456651284, + 461491700, + -1, + 428402833, + 839092759, + 181435240, + 727601586, + 383846046, + -1, + -1, + 923931756, + 644341061, + 211486476, + 237936002, + 489209495, + 325261086, + 417143450, + -1, + -1, + 600591339, + 664327952, + 363706441, + 13526632, + 706332269, + 70731655, + 974789283, + 15267642, + -1, + 158500674, + 222081447, + -1, + 238326467, + -1, + -1, + 611858764, + 520153615, + 583217368, + -1, + -1, + 303714252, + 223771790, + 328184405, + 474701658, + 131754001, + -1, + 996932839, + 694383605, + 320105510, + 558689842, + 21509162, + 756438747, + 845657697, + 309971605, + -1, + -1, + 187643835, + -1, + 978930678, + -1, + 85154821, + 176241645, + -1, + 628456452, + -1, + -1, + 79044635, + 408753551, + 216867706, + 980496873, + 828219133, + -1, + 243054765, + 458946670, + -1, + 180131989, + 546233065, + 443096270, + -1, + 953716982, + 34001236, + 311266632, + 173598806, + 785984650, + 158284675, + 121083892, + 188280931, + 392908194, + 239319036, + 148317795, + 486809752, + -1, + 669776194, + 519474125, + 119405977, + -1, + 626115975, + 585620154, + 947673457, + -1, + 776661207, + 38995122, + 476436922, + 94715468, + 387237729, + -1, + 172167089, + 107520513, + 683450765, + -1, + 13634912, + 796026027, + 792165422, + 489103359, + 796600457, + -1, + 804842830, + 894482821, + -1, + -1, + 566354742, + 996414633, + 272690370, + 253793439, + 53790263, + 270810335, + 964692679, + -1, + 200251125, + -1, + 739905858, + 455586127, + 463116090, + 344952127, + -1, + -1, + 887571357, + 994806255, + -1, + 21170289, + 38391499, + -1, + 469833865, + 181910500, + 381600944, + -1, + 86363342, + 205833717, + 857240419, + -1, + -1, + 393210090, + -1, + 437485258, + -1, + 564797366, + -1, + 753975139, + -1, + 878099453, + 202844369, + 543649373, + 236055327, + 124327057, + 289150279, + 705586893, + 599764396, + 235116714, + -1, + -1, + 565551945, + -1, + 41821176, + 919757258, + -1, + 25872056, + -1, + 278071382, + 183573116, + -1, + -1, + -1, + 916948368, + -1, + -1, + 531390413, + -1, + -1, + 168895349, + -1, + 733908511, + 696223383, + 748585417, + 402403959, + 662815314, + 817244738, + -1, + 867874275, + -1, + 30733793, + -1, + 499845276, + 748669252, + 986905781, + 387930402, + 927269780, + -1, + 805462355, + 328425987, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 497366688, + 523413560, + 810115492, + 248410036, + 453456145, + 262649219, + 644096151, + 43563806, + 778265162, + 674091272, + 713412555, + -1, + -1, + 901454070, + 375647481, + 791793561, + 781679239, + -1, + 261639192, + -1, + 589256173, + 958326113, + -1, + 323965761, + 963788232, + -1, + 687069458, + -1, + -1, + 682715343, + -1, + -1, + 446409324, + -1, + -1, + 762690625, + 692097869, + 770245063, + -1, + -1, + 374485546, + 809829452, + 551034844, + 153999596, + 777137577, + 19879119, + 728645736, + 737168409, + 509745959, + 80611352, + 827026904, + 921297063, + -1, + -1, + 942539061, + 993895871, + 554756488, + 376825975, + -1, + 503919758, + 124410570, + -1, + 869299787, + 417315975, + 153961061, + -1, + -1, + 890773778, + -1, + 733454232, + 607569086, + 591808148, + 225622186, + 589389615, + 147017636, + -1, + -1, + 612320864, + 975907536, + -1, + -1, + -1, + 460465690, + 511110269, + 660174426, + 778467361, + -1, + -1, + 318815163, + -1, + 787084476, + -1, + 562306394, + 807534501, + 254844645, + 842610787, + 311617721, + -1, + -1, + 406484522, + -1, + 981893454, + -1, + 986294990, + 927073884, + -1, + -1, + 139496491, + 18005729, + 574605679, + 327371680, + 182124779, + 740085239, + -1, + 658455443, + 628575670, + 974240434, + 469714574, + 323943106, + -1, + 310733381, + 502520905, + 229792753, + 56777385, + 719194227, + 459815925, + 426454763, + -1, + 855540725, + 421252549, + 37633780, + -1, + -1, + 303934889, + 534286219, + 130547470, + 922618308, + 343963062, + 961236195, + 370617007, + 98108103, + 454785097, + 428726155, + 145921372, + -1, + 587829284, + 604612257, + 543888615, + 394421127, + -1, + 288600061, + -1, + 781106616, + 414047906, + 587653833, + 853775667, + 777115974, + 756031995, + 929952839, + -1, + -1, + 905108761, + -1, + 914157251, + -1, + -1, + 483614254, + -1, + -1, + -1, + 998828570, + 301650106, + -1, + 975533022, + -1, + 623660551, + 316280062, + 485054729, + -1, + 328438298, + 875255330, + 325612561, + 728990299, + 327682617, + 375602407, + 232934840, + 430161577, + 516679366, + -1, + 732813981, + -1, + 369613149, + 441099010, + 582427234, + 682414558, + -1, + 427774524, + 170818488, + -1, + 864383838, + 581977223, + 725931229, + -1, + 441677439, + -1, + 719819169, + -1, + 310497952, + 366167359, + -1, + 429587093, + 375506000, + -1, + 717897692, + 357045618, + 663575303, + -1, + 396487034, + -1, + 395069284, + 286277879, + 873754650, + -1, + -1, + 613067117, + 745742682, + 867136210, + -1, + 440218097, + 713289359, + 972903286, + 716692788, + 336143581, + 825838857, + 732914969, + 304930291, + -1, + 970555260, + 171811317, + 620718750, + 618459274, + 382831351, + 106370556, + -1, + 484809623, + -1, + 23552855, + -1, + -1, + 299541059, + 747879125, + -1, + -1, + 995059233, + -1, + 825492539, + 901021505, + 657221798, + 503477840, + 543375307, + 264508307, + 516659518, + -1, + 844821896, + -1, + -1, + -1, + -1, + 322469790, + 343951914, + 467734342, + 841014064, + -1, + -1, + 81523181, + -1, + 983851063, + 982998844, + -1, + 287365118, + -1, + 843487323, + 828550892, + -1, + 700874155, + 532257586, + 930344065, + 834109709, + 493184445, + -1, + 318347964, + 716894317, + 820890886, + 365902651, + 716299734, + 755698805, + 738835522, + 391210650, + 320430532, + 306346802, + 718352761, + -1, + -1, + 754696133, + 772426216, + -1, + 611911871, + 648208389, + 329856921, + 438303168, + 781217504, + 786864487, + 71525628, + -1, + 77808913, + 638280819, + 572707649, + 866289832, + 933244510, + -1, + 721432058, + -1, + -1, + 840159673, + -1, + 451137687, + -1, + 805795924, + 359743205, + -1, + 728397852, + 904470689, + 400189470, + 969298351, + 934173191, + 610873655, + -1, + -1, + 973833065, + 820614492, + 987289809, + 134306003, + -1, + 867777456, + -1, + 524390647, + 320355996, + 307676807, + 597270381, + -1, + -1, + 102928615, + -1, + 763244451, + -1, + 299953613, + -1, + 818186161, + 75913005, + 378571992, + 395142167, + 174700346, + 928562321, + 797605932, + -1, + 841170166, + 463592713, + 636294064, + -1, + 346352272, + 649058334, + -1, + -1, + 101965407, + 637591651, + 214887140, + 692456972, + -1, + -1, + 248974359, + 763887195, + 551104502, + 585115884, + -1, + -1, + -1, + 898097062, + -1, + -1, + 495010635, + -1, + 194511203, + 699553036, + 944773498, + -1, + -1, + 580960946, + -1, + 537059382, + -1, + -1, + 678540200, + 695679309, + 879444100, + -1, + 966168458, + 423909026, + -1, + 551310881, + 346153402, + 409074608, + 947254889, + -1, + 440575965, + 489124400, + 382101948, + -1, + 389218971, + 860268904, + 600222159, + 528383868, + 889867192, + 624414364, + -1, + 90189281, + 514317450, + 524338926, + -1, + 519557117, + 416524122, + 282768849, + 418075472, + -1, + 173412072, + 474665132, + 947319806, + 69176401, + 929433816, + -1, + 102829759, + 652729083, + -1, + 805363012, + 920396178, + 205531728, + -1, + 581128878, + -1, + 114615028, + 243471517, + 179469851, + 341586908, + -1, + -1, + -1, + 480635471, + -1, + 432137176, + -1, + -1, + 372788409, + 751749773, + 46843494, + 747726906, + 201984968, + 666813551, + -1, + -1, + 767113932, + 13255036, + 534208460, + -1, + -1, + 420764403, + 535879678, + 29256746, + 717132743, + 940662817, + -1, + -1, + 91262120, + 406436736, + -1, + -1, + -1, + 492943983, + 760321537, + 599468704, + 692875525, + 133695824, + 920799977, + 199883239, + -1, + 842435511, + -1, + 856555265, + 448941622, + 891524603, + 14570226, + 544494473, + 138968750, + 41333598, + -1, + 366877308, + -1, + 326087955, + 292505418, + 694026942, + -1, + 208841670, + -1, + 83922099, + 937073346, + 655953387, + 279496082, + -1, + 517229527, + -1, + 874631354, + -1, + 133451082, + 363874757, + 251187377, + 168708967, + 433427804, + 264556543, + 590154250, + 69729514, + 858343579, + -1, + -1, + 741109591, + -1, + 170460787, + 737111725, + 997522543, + -1, + 448290784, + 700030731, + 738856489, + 108004543, + 711879416, + 725296346, + 130907454, + 975248204, + 152306951, + 941125079, + 145780120, + -1, + -1, + 18198259, + 121255516, + 324154711, + 493788055, + -1, + -1, + -1, + 433918424, + -1, + 400810303, + 136970428, + 208171632, + 68660468, + 887977127, + 736752704, + 200499227, + 110573252, + 61771740, + -1, + 418422484, + 85270770, + 717249789, + 724927804, + 231160823, + 807642009, + -1, + -1, + -1, + 102744278, + 133734917, + 762582150, + 882890020, + 642266540, + -1, + 724832596, + 333380526, + 762430658, + -1, + 441339790, + 178463752, + -1, + 170132421, + 93795478, + -1, + 468523906, + 498569576, + 33885828, + 986909926, + -1, + 98333490, + -1, + 205477999, + -1, + 629840913, + 254480213, + -1, + 913432817, + 819079981, + -1, + 776309636, + 578531546, + 232420405, + -1, + 86114269, + 986585757, + 3639860, + 139731931, + -1, + 802356468, + 526607324, + 195551879, + 526563173, + 660404853, + -1, + 90070246, + 11067926, + -1, + 959822486, + 803387876, + -1, + 55151904, + 592993000, + -1, + 232351489, + 292357482, + 150188007, + -1, + 501569446, + -1, + -1, + -1, + 989523430, + -1, + 919218856, + -1, + 691039635, + -1, + 995772932, + -1, + 240703488, + 985416351, + 346216320, + -1, + 932549375, + -1, + 391125558, + 268811480, + 157791522, + 277917112, + 990920277, + 139310029, + 403198292, + 175692278, + -1, + 633688271, + -1, + -1, + 572115067, + -1, + 583591158, + -1, + 753338702, + 353026252, + 862411477, + 981046973, + 500720869, + -1, + -1, + 89669856, + 823584964, + -1, + 247093091, + 67358494, + 392587381, + 925178251, + -1, + 153496604, + 914587033, + 777311272, + 149491872, + -1, + 299918015, + 829627832, + -1, + 218204594, + -1, + 450333073, + -1, + 529117152, + 926313594, + 96649121, + -1, + 21348692, + -1, + 235887493, + 53716924, + 33566567, + 680336836, + 151298161, + -1, + -1, + 3993506, + -1, + 804305098, + 524035350, + 902766361, + -1, + 814046630, + 255405953, + 22724317, + 396175298, + 21993925, + 855760274, + 645742101, + 746899272, + 587982926, + 553740917, + -1, + 944275691, + 600690225, + 50706625, + -1, + 915955613, + -1, + -1, + -1, + -1, + 999197575, + -1, + 814879163, + 765659877, + 253546410, + 382306850, + -1, + 115578571, + 622214487, + 218765112, + -1, + 193753982, + 683696790, + 897326230, + -1, + 750068973, + 294567953, + 66512692, + 643562063, + 643330298, + 769000339, + 101918049, + 419857314, + -1, + 332369299, + 208135968, + 879193078, + 497624437, + -1, + 95477886, + 603905711, + -1, + 792575643, + 226967446, + 358490809, + 345700632, + 7650427, + 695846997, + 485496991, + 961115407, + -1, + 686735076, + 321029562, + 238626203, + -1, + 719410221, + 218903202, + 514497713, + -1, + -1, + 422227734, + 37402203, + 883419394, + 236657115, + 790881591, + -1, + -1, + 928761786, + 738717083, + -1, + 749586145, + -1, + 169338571, + -1, + -1, + 51305925, + -1, + 748977939, + 634962736, + 632583707, + 826227889, + -1, + 894041002, + 104919130, + -1, + 26887538, + 244572969, + -1, + 629126298, + 839708079, + 305029236, + 794035648, + -1, + 535245281, + 555242831, + -1, + 644585627, + 492250499, + -1, + 620025264, + 906926844, + 883637159, + 302504635, + -1, + 354417256, + 219270947, + -1, + 99663046, + 909200935, + -1, + -1, + -1, + 317654502, + 572894192, + 312048842, + -1, + 315242315, + -1, + 135764644, + 651012388, + 423663205, + -1, + -1, + 181020642, + -1, + -1, + 868354243, + 979374262, + 841979196, + 587623827, + 186916651, + 537643070, + -1, + -1, + 933662752, + -1, + 367728821, + -1, + 604345745, + -1, + 593424609, + 705627196, + -1, + 306532340, + -1, + 595168715, + -1, + 859327631, + 13276847, + -1, + 507400559, + 626252326, + 86662208, + 651470360, + -1, + -1, + 742849727, + 242432116, + 923241878, + -1, + 477214334, + 740121708, + -1, + 817758538, + -1, + -1, + 415965361, + 49326914, + -1, + 106106701, + 322765233, + -1, + 655441097, + -1, + 494954369, + 567272480, + 828616468, + -1, + -1, + 87661482, + 795680441, + -1, + 303414992, + 327517303, + -1, + 471548215, + 859017822, + -1, + 864633969, + 190085050, + 653314402, + -1, + 391900259, + -1, + -1, + 146909861, + 11605089, + -1, + 692422376, + -1, + 718634763, + 574383562, + 366671700, + 648586528, + -1, + 56274392, + 332063702, + 524374330, + -1, + 965819065, + -1, + -1, + -1, + -1, + 399326624, + 700324384, + 909375749, + -1, + -1, + 277191408, + 840907294, + 976691005, + 502830984, + 71555480, + 378522707, + -1, + 610740885, + 525482816, + 813798031, + 57822995, + 646299897, + -1, + 828841298, + 120851694, + 20854718, + 583472669, + -1, + 994524585, + 20319124, + 485649888, + -1, + -1, + 395400130, + 868783110, + 163138551, + -1, + 971384631, + 52349999, + 321722711, + -1, + 891750353, + 801792675, + -1, + 311564395, + -1, + 70790379, + 702636507, + 245180713, + 850257999, + 565567649, + -1, + 506016084, + 915623437, + 112923521, + 441290791, + 192026996, + 402126522, + 653115104, + 153933629, + 183914677, + -1, + 522709285, + 811423487, + -1, + 453999793, + 899142719, + 508117566, + -1, + 573975351, + 201672485, + -1, + 195920109, + 166142609, + -1, + -1, + 112348449, + 789329284, + -1, + -1, + 626935595, + 229563822, + -1, + 358810718, + 845873577, + -1, + 754400018, + 206461618, + -1, + -1, + 502032070, + -1, + 426459985, + 121236466, + 92660217, + -1, + 49800406, + 52773928, + 83747631, + 329507425, + 534746931, + 122359582, + -1, + -1, + 965881810, + -1, + 26582998, + -1, + 31198655, + -1, + -1, + 810541423, + 372069419, + -1, + 563208075, + 915074914, + 71222644, + 636128734, + 131932984, + 819687501, + 979902474, + -1, + 277129874, + 438273962, + 468406792, + -1, + 836888520, + 702739177, + -1, + 265143562, + 652030852, + -1, + -1, + 650509147, + 760308349, + -1, + 336355587, + 176964156, + 361533586, + 28305482, + 343827386, + 727532330, + -1, + -1, + -1, + -1, + 290269083, + 896186328, + -1, + 804232878, + 48673315, + 284116716, + 1514252, + -1, + -1, + -1, + -1, + 176599889, + -1, + -1, + 432106291, + 788746553, + 270851234, + 24793922, + -1, + -1, + 651974601, + 817125474, + -1, + 54313865, + 49082522, + -1, + 884279621, + 245528713, + 776198327, + 219732212, + 256726093, + 876769772, + 643101896, + 117730245, + 160362003, + -1, + 216835731, + 231870338, + 911446610, + 545436929, + 645352973, + 941556358, + 718655557, + -1, + 253888258, + 932877642, + 472510297, + 683406297, + 482823511, + 486298283, + 548993933, + 473871706, + 30753579, + 247673705, + 169158237, + -1, + 304658674, + 69630246, + 841119859, + 885928825, + 690803799, + 978565108, + 595991760, + 327632197, + -1, + 710624073, + 179260447, + -1, + 734534677, + 639053604, + -1, + -1, + -1, + 526780365, + 366427989, + 288120008, + -1, + 27754857, + 907857604, + 792847918, + 29518374, + 827966995, + 600011518, + 773924052, + 66548261, + 748110830, + 748820980, + 231719632, + 598661892, + -1, + 600078759, + 886248889, + -1, + 818268900, + 488156160, + -1, + 955163725, + -1, + 679951050, + 730089104, + 593006704, + -1, + -1, + 644016237, + 625188212, + 39016653, + 952148676, + 720392934, + 715547195, + 335225709, + 943088474, + -1, + -1, + 255261356, + -1, + -1, + 666793413, + 941774003, + 653963224, + 732089475, + -1, + 11991154, + 67668552, + 58823244, + 272583532, + 12975854, + -1, + 841587, + -1, + 899794136, + 977447087, + -1, + 631983843, + 842520345, + 80368438, + -1, + -1, + -1, + -1, + 67786804, + -1, + 441604888, + 789003674, + 31957647, + 872932978, + -1, + 287222330, + 820815138, + 138139676, + 39289802, + 550820568, + 407351242, + 213233374, + -1, + 677786955, + 397395427, + 102355658, + 348619800, + 587346047, + 893525081, + 117768408, + 327160370, + -1, + -1, + -1, + -1, + 966326786, + -1, + 402435945, + 538489284, + -1, + 731721366, + 246692554, + -1, + 110859496, + 901422437, + -1, + 900949283, + -1, + 175101733, + -1, + 71796169, + -1, + 659429211, + 915687486, + 931233133, + 492577475, + 240766945, + 356763770, + -1, + 677858800, + 33486671, + -1, + -1, + -1, + 630273339, + 169819967, + 711681397, + 638307731, + 753019469, + 708408944, + -1, + -1, + 281544820, + 749220029, + -1, + -1, + -1, + 73893456, + 232152372, + 885065334, + 97263925, + 51435453, + 104468356, + 476692486, + -1, + -1, + -1, + 482315783, + 810657383, + 436850760, + 784076075, + -1, + -1, + 47498867, + 753954132, + -1, + 390534302, + 204058834, + 724589268, + 541886797, + 74128182, + 254309236, + 642552835, + 156179856, + -1, + 324183437, + 988905602, + 91263901, + 563739859, + 472584843, + -1, + -1, + 798447453, + 913377996, + 100977366, + 130858900, + -1, + 210290661, + 275975878, + 69847329, + -1, + 263632587, + 289861484, + 249553756, + 90025439, + -1, + 367356162, + 29166818, + 149252783, + 948533800, + 450310273, + 114943569, + -1, + -1, + -1, + -1, + 533155414, + 154559849, + 745374155, + 934747725, + -1, + 952131234, + -1, + 473497832, + -1, + 715611414, + 895008339, + 416048894, + 809681711, + -1, + 712491451, + 659770325, + 440874455, + 873948984, + 374742308, + 563631728, + 426013209, + 267002169, + -1, + 558675423, + 435773412, + -1, + -1, + 196897930, + 544865699, + 512683913, + 983595890, + 447090488, + -1, + 508590979, + -1, + 692257124, + 696099320, + 829952390, + 341434945, + 482900091, + 426029554, + 647191312, + 648677523, + 666425253, + 669496720, + 646741170, + 250778757, + 863536381, + 871204941, + 166477203, + -1, + 284248299, + 824048021, + 509605414, + 312341365, + 234918193, + -1, + 593755621, + 989281494, + 20965200, + -1, + -1, + 401335401, + 54894223, + 74743310, + 249481170, + 52429614, + -1, + 649006503, + 582941735, + 63495242, + -1, + 945183491, + -1, + 904818128, + 596377541, + 516659376, + 560971662, + 745660869, + 909555470, + 578759126, + 872051412, + 79573005, + 727075897, + -1, + -1, + 551633743, + -1, + -1, + 161857259, + -1, + 1946641, + 66651576, + 458399044, + -1, + 707833208, + 840979489, + 679050456, + 814395492, + 26374917, + 209712375, + -1, + 147996518, + 543508454, + 270702061, + 590035109, + 967287933, + 88169662, + 172229439, + 880963667, + 390504639, + 882749740, + 571335273, + 179380100, + 202650977, + 912468606, + 436796640, + 618686381, + 213616710, + 389684811, + -1, + 903123415, + 602640979, + 714157131, + 565831731, + 765161707, + -1, + 375647902, + -1, + 447266470, + 33168989, + -1, + -1, + 161992342, + -1, + 806335459, + 46058686, + -1, + -1, + -1, + 143571610, + -1, + 494770517, + 255296159, + 461517914, + 767443688, + 756675079, + 225113048, + -1, + -1, + 339873123, + -1, + 864223606, + 665528493, + 865092334, + 749623363, + 579852228, + 774149544, + 338000055, + 492719411, + 254698071, + 777098618, + -1, + 347719747, + 532183207, + 985447127, + 387892231, + 471984398, + 783146230, + 814867014, + 419481793, + 728460820, + -1, + 41825100, + 983945065, + -1, + 529048519, + 978822563, + -1, + 896988472, + 965896082, + 352075256, + 311991960, + 769851910, + 823110308, + -1, + 800214118, + 14573459, + 529148647, + 307419566, + 689805203, + -1, + 670930071, + -1, + 902436960, + 509623571, + 126790791, + 488811039, + 733311605, + 24140613, + -1, + 724164226, + -1, + 253494086, + 369806846, + 572546734, + 839155062, + 878606916, + 11705655, + 796335319, + 980498250, + 966666870, + -1, + 553831653, + 250675171, + 968415538, + 979511672, + 800345188, + 739585897, + 803165148, + 723499925, + -1, + -1, + 919616489, + -1, + 568846866, + 76995379, + 315828254, + 290490112, + 215869519, + 803696523, + 707300655, + -1, + -1, + -1, + -1, + 133632759, + 518350223, + 398431541, + -1, + -1, + -1, + 7292020, + -1, + 332605390, + -1, + 649782235, + -1, + 626812483, + 946567204, + -1, + 443519675, + 196888311, + 448506911, + -1, + 302087854, + 319451046, + 504686042, + 323889356, + 740578054, + -1, + 161377954, + 695181635, + 849960995, + 480804812, + 657100188, + 260719766, + -1, + -1, + -1, + 988727901, + 921154866, + 118766868, + 217971392, + -1, + 659608283, + 147572213, + -1, + -1, + 84176594, + -1, + -1, + -1, + 188542748, + 521897600, + -1, + 666643254, + 883998460, + 689759525, + 775377628, + -1, + 520589296, + -1, + 260056320, + 199824131, + 60506016, + 664193360, + -1, + 927479509, + -1, + 316325493, + -1, + -1, + 658654801, + 445672703, + 747354795, + 907837284, + 511708224, + 438485203, + -1, + 712702033, + 852886607, + 521505740, + -1, + -1, + -1, + 672981067, + 258186705, + 160361007, + -1, + -1, + -1, + 316960266, + 427322490, + 219674569, + 260959290, + -1, + 446212298, + 644496247, + -1, + -1, + 879424901, + -1, + 310406002, + 397528369, + 632212112, + -1, + 566897717, + -1, + 305407491, + -1, + -1, + 362386141, + 411978630, + -1, + 607049382, + 105293164, + -1, + 759307887, + 227196871, + 654465676, + -1, + -1, + -1, + 819053925, + 510823667, + 971199855, + -1, + -1, + 500044703, + 142327073, + -1, + 478007646, + 536272727, + 311246450, + 788475013, + -1, + 330616100, + 921705519, + -1, + 357486330, + 266937793, + 871314912, + -1, + 280046727, + 270558054, + 999823666, + 403135398, + -1, + 180280803, + 538214945, + 107404235, + 184446197, + 770262515, + -1, + 199838357, + -1, + -1, + -1, + 472097886, + 52217791, + 925806371, + 973917369, + -1, + 109212536, + 488903964, + 478587398, + 262565904, + 311761050, + 49718894, + 832222347, + 88158706, + 856061271, + 532417325, + 108892451, + 14708688, + -1, + 595861815, + -1, + 975076682, + 966705571, + 646792904, + 14330918, + 49550002, + 985535100, + 248935945, + -1, + -1, + -1, + 704128687, + 861624747, + 7755200, + 578015645, + -1, + 249784617, + 656521959, + 219166018, + 478830572, + 48682475, + 852446052, + 243396744, + -1, + 155155977, + 750144440, + 275075941, + -1, + -1, + 812023227, + 146688974, + 325571413, + 351202032, + -1, + 384425130, + 531586127, + 548916712, + -1, + 4207732, + 788854228, + 357408265, + -1, + 38139351, + 950656468, + 25419378, + 722349499, + 558945503, + 303927893, + -1, + 368222492, + -1, + -1, + 754765690, + 829246637, + 554751944, + 10703374, + 307449492, + 354484055, + 28333366, + -1, + -1, + 221976414, + 565181059, + -1, + 494061890, + 415619942, + 317037197, + -1, + 627184771, + 227550815, + 661926749, + -1, + -1, + -1, + -1, + 146147282, + 612670534, + -1, + 54289178, + -1, + 64073732, + 899744173, + -1, + 687600810, + 270470212, + -1, + 681606223, + 158508891, + 418354630, + -1, + 435424825, + -1, + 529905689, + 401905922, + -1, + 561585595, + 471821716, + 146967420, + -1, + -1, + 181808448, + 912668693, + 458065931, + 507704793, + -1, + 204780722, + 231936232, + 169670679, + -1, + -1, + 5213659, + 851194363, + -1, + 55732396, + 586071225, + -1, + 866068246, + 753487422, + 64685303, + 130538916, + 846202513, + -1, + 536628345, + 925644917, + 624713644, + 262101409, + 906624962, + 819901634, + 997442812, + -1, + 765016779, + -1, + -1, + 164908601, + 868037196, + 666291194, + 327510082, + -1, + 574976848, + 986030908, + 578688409, + -1, + 909309333, + -1, + 9957112, + 680195329, + 145662125, + 918157957, + 482018522, + 742256246, + 202806997, + 851604459, + 887070719, + 323506227, + 691170675, + 446103306, + 287878801, + -1, + 178574326, + 150783004, + 247542574, + 260500710, + 67373033, + -1, + 199374033, + -1, + 990677956, + 822952078, + 754573101, + 866703798, + 615886757, + 242714799, + 947100668, + 512878533, + -1, + -1, + -1, + -1, + 279124039, + 542797558, + 132440573, + 282755860, + 907973331, + -1, + 769543270, + 994834546, + -1, + 532729382, + -1, + 498088743, + 338359765, + 993629876, + 91611812, + 265506062, + 20708190, + 520391052, + 225283119, + -1, + 715782725, + 776301171, + 475261124, + 442112545, + 105020262, + -1, + 475736515, + -1, + 828177923, + 89793745, + 780147114, + 751489000, + 275962232, + -1, + -1, + 759644854, + 328058782, + 680177515, + -1, + -1, + 115214863, + -1, + 718272809, + -1, + -1, + 370550493, + -1, + -1, + -1, + 866755694, + 177346210, + -1, + 489891778, + 395600389, + 95281237, + -1, + 33220782, + 608780317, + -1, + 146172192, + -1, + 128270707, + 519248918, + -1, + 237955428, + 360159306, + 737609060, + -1, + -1, + 841073652, + 366666760, + -1, + 251715386, + -1, + 725076428, + 14914384, + 994710947, + -1, + 652386479, + -1, + 433253932, + 650981235, + 90552411, + 51375559, + -1, + 943538130, + 519877661, + -1, + 623082477, + 177543916, + 125222862, + 827962882, + 806740135, + 977441440, + 785987160, + -1, + 682825876, + -1, + -1, + -1, + 369663221, + -1, + 56128386, + -1, + 736336485, + -1, + 372004874, + -1, + 829057009, + 993415311, + 445581621, + 288037578, + 887405761, + 663362411, + 468731337, + 151344609, + -1, + 19992692, + 244840673, + 258863045, + 286590989, + 128486409, + -1, + 816867859, + 710389249, + -1, + 781054447, + 869849622, + 46440214, + 377042257, + -1, + 666241726, + 21859601, + 229210092, + 560882888, + 312283450, + 932111412, + 669674568, + 474735959, + -1, + 203048957, + 474847272, + -1, + 484221870, + 718637698, + -1, + 221642285, + 8105219, + 627122889, + 246122132, + -1, + -1, + -1, + -1, + 480119835, + 434974405, + 178903593, + 975440219, + 633253032, + -1, + -1, + 180796291, + 926534076, + -1, + 855302102, + 93804160, + 845306447, + 729071655, + 115435542, + 162903767, + 847592937, + -1, + 765057505, + 450118157, + 173739494, + 756674689, + 943956996, + 500435621, + -1, + -1, + -1, + -1, + -1, + 983939374, + 635922969, + -1, + -1, + 487982757, + 524744249, + 663495863, + -1, + 281765072, + -1, + 18073019, + 265358535, + 371446985, + 281772000, + 82500722, + 967382057, + 296488335, + 158079401, + 717617779, + 543690592, + -1, + 644065269, + 798215448, + 586948059, + -1, + 935930861, + -1, + -1, + 126736208, + 286353694, + 649738096, + 829005333, + -1, + -1, + 429950630, + -1, + 968532415, + 283966672, + -1, + -1, + 304619296, + -1, + -1, + -1, + 502803492, + 317647350, + 693026993, + -1, + 84715820, + 41403910, + -1, + 280888220, + 492238682, + 44809025, + -1, + 484462173, + 64934208, + 31607544, + -1, + -1, + 259615762, + -1, + -1, + 903577506, + 261209875, + -1, + 203065789, + 502318927, + 492209561, + 554183339, + -1, + -1, + 882039195, + 174795112, + 396714638, + 715504786, + 752449988, + 562126775, + 38967579, + 306684151, + 121821011, + -1, + 351848106, + 391705303, + 83708675, + 855621754, + -1, + -1, + -1, + -1, + 820018521, + -1, + 441930963, + 531738416, + 943714766, + -1, + 356276471, + 851819282, + 731788679, + -1, + 337033006, + -1, + 973552608, + 899922821, + -1, + 870759724, + 67091216, + 760377944, + 779074426, + 741514571, + 515197695, + -1, + 421295492, + -1, + -1, + 556840667, + 324199425, + 421266922, + 428610038, + 920534580, + -1, + 961451983, + 247669709, + -1, + 801340910, + 268617728, + 131549964, + 237216839, + -1, + 971190488, + 837271795, + 948823704, + -1, + -1, + -1, + 551818615, + 113556276, + 994954262, + -1, + -1, + 256421967, + 573873352, + 155579353, + -1, + -1, + 17739999, + -1, + 547606109, + 435088352, + -1, + 93206005, + 658250699, + 501722428, + 135356175, + 776811129, + 294890178, + 337816511, + -1, + 196732360, + 188490840, + 310151219, + -1, + 444045544, + -1, + 929907694, + -1, + 57872248, + 710449771, + -1, + 455088630, + -1, + 123920529, + 503306128, + -1, + -1, + 133133589, + -1, + 488840290, + 488458989, + 835712574, + -1, + 335166100, + 880303984, + -1, + 601202795, + 284748588, + -1, + 914630284, + -1, + 461943517, + 805833298, + -1, + 762630292, + 892111380, + -1, + 330793380, + -1, + 144962849, + 692763418, + 581986182, + -1, + 812620382, + 330851103, + 306166053, + -1, + 9479169, + 192714162, + -1, + -1, + 26424386, + 262230420, + 517054591, + 724694565, + 791586859, + 228646096, + 128730844, + 94446054, + -1, + 682248558, + -1, + 492569520, + -1, + 357681249, + 818242355, + -1, + 156183481, + -1, + -1, + 289686566, + 383130297, + 613485900, + 436415607, + 19145469, + -1, + 456935229, + 295092938, + 877143212, + -1, + -1, + 32450457, + 203072428, + -1, + 516447778, + 470309438, + 837682055, + 785881015, + 753166714, + -1, + 237233568, + 730686525, + 631648924, + 659615989, + 626656847, + -1, + -1, + 956916078, + 701121079, + -1, + 232618544, + 63611723, + -1, + 759825188, + 130491543, + 805751033, + -1, + -1, + 317722447, + -1, + 318319821, + 444511644, + 677070808, + -1, + -1, + -1, + -1, + 907351172, + 312906567, + 104221568, + 875490570, + -1, + 935291314, + -1, + 330995890, + 771736013, + 925765448, + 648586949, + 687671193, + 564918626, + -1, + 552966026, + 982688351, + -1, + 438736077, + 619971568, + 756049569, + 658979622, + -1, + 300044460, + -1, + -1, + -1, + 622395283, + 190965047, + 208959111, + 910966381, + 969428374, + 483766029, + 554543628, + 40339806, + 21957089, + -1, + 665264239, + 296571728, + 946341031, + 239856938, + -1, + 255684908, + -1, + -1, + 331960021, + -1, + 22108847, + 196924344, + 891196642, + 736961848, + -1, + 69646148, + 984119533, + 487321876, + 901796784, + 59545114, + 382654073, + 228919518, + 109716166, + 432672335, + -1, + 475807153, + 397783266, + -1, + 62190217, + -1, + -1, + 523655384, + 243348368, + 837329380, + 440706383, + 427908736, + 541916171, + -1, + 679006940, + 620166123, + -1, + 770374223, + -1, + 593231904, + 666587806, + -1, + -1, + 867643992, + -1, + 137242366, + 968121546, + 211031112, + 349947931, + 538707383, + -1, + -1, + 971148109, + 940923345, + 758554839, + 906414010, + -1, + -1, + 155716687, + 770086202, + -1, + 352270257, + 692357093, + -1, + -1, + -1, + 115500829, + 66373524, + 329313518, + 477359438, + 968563978, + 740092205, + 719011993, + 172096213, + 86455282, + -1, + 332683832, + -1, + 907994078, + -1, + 353106011, + 101954560, + 640039603, + 711220211, + -1, + 36665665, + 763153734, + -1, + -1, + -1, + 196354847, + 105639533, + 312156640, + 767354715, + 696185145, + 391736336, + -1, + 999613416, + -1, + -1, + 980464351, + 297806783, + 10441060, + 20307762, + 741164334, + 932531476, + -1, + -1, + 847001422, + 520028946, + 837709517, + 657412486, + -1, + 721600447, + 683898724, + -1, + -1, + 74694626, + 970344271, + 195694074, + -1, + 924037754, + 310836759, + 982430213, + 657212913, + 528086934, + 592739727, + -1, + 955293945, + 612110752, + 768574207, + -1, + 922850700, + 480134447, + 382531780, + 295558267, + -1, + 9630261, + -1, + -1, + 949726479, + -1, + -1, + -1, + 425527381, + 352843479, + 318458497, + 93047873, + 900145957, + 444722603, + 811283960, + 426629930, + 856332037, + -1, + 919914329, + -1, + -1, + 557488655, + 670643761, + 911731480, + 198886396, + 247854146, + 818709855, + -1, + 551145354, + 333840984, + 529913545, + 351560581, + -1, + 821296745, + 463879531, + -1, + 674908768, + 564595830, + 531490352, + 55898242, + 642629521, + -1, + 385813456, + 448977529, + 521558490, + -1, + 511399856, + 747527083, + 382387841, + -1, + 4570564, + 730858471, + 700051672, + -1, + 962655735, + 345939194, + 203806622, + -1, + 424597886, + -1, + 365336281, + 31411285, + 587748064, + 564534128, + 714901020, + -1, + 473712917, + 443117414, + 87832552, + 355033105, + 785141834, + 644577987, + -1, + 451964818, + 519355279, + 8346534, + 396658681, + -1, + 55985966, + 132357015, + -1, + 227136963, + 71173607, + -1, + 592817751, + -1, + 843454176, + 628125398, + -1, + 463456211, + 394861463, + -1, + 502644530, + 933301169, + 398910705, + 857128754, + 406093754, + 738206728, + -1, + 609308789, + 976888070, + -1, + -1, + -1, + -1, + 789003790, + 743456453, + 347752750, + 399690613, + -1, + 878906186, + 240426496, + -1, + -1, + 213342591, + 759099439, + 241087510, + -1, + -1, + 383446117, + 966942996, + -1, + 79954749, + 667986320, + 169830356, + 829733144, + -1, + 985935144, + 214357655, + 974515888, + 673573018, + 829726731, + -1, + -1, + 967078565, + 959147860, + -1, + 620709156, + -1, + 926930505, + 490299930, + 765344108, + 531398819, + -1, + -1, + 217024086, + 451222698, + 475499172, + 814505658, + 643709039, + 137064344, + 180766175, + 267675604, + -1, + -1, + 300088134, + 288046484, + 386127999, + 575977802, + 725387430, + 58060321, + 110460799, + -1, + -1, + -1, + 558391929, + 333829453, + 628312535, + -1, + 383440374, + -1, + -1, + -1, + 211392355, + 775384718, + 410756691, + 272399824, + 720028755, + 615689497, + 671591387, + 229127730, + 41557061, + 961391115, + -1, + -1, + 347797635, + -1, + 958518175, + 607356816, + 685026299, + -1, + -1, + 819682554, + 950743105, + 245385130, + 563460902, + 937239205, + -1, + 954517012, + -1, + -1, + -1, + 435542476, + -1, + -1, + -1, + 843308322, + 544455223, + 883366740, + 805643365, + 578340248, + 278804596, + 690045406, + 850789004, + -1, + 113953813, + 124268474, + 76110652, + 545419257, + 838584293, + -1, + -1, + 982875572, + -1, + -1, + 413354422, + 543280624, + 682064034, + -1, + 413820829, + 43107079, + 743459108, + 153746138, + 782132437, + 592745114, + 990612558, + -1, + 562171837, + 761836730, + -1, + 676449365, + -1, + 132757777, + 152073364, + -1, + 446062424, + 843670556, + 222519519, + 753136146, + -1, + 650960559, + 994221443, + 899522579, + 654175371, + 91520910, + 841303863, + 472360612, + 516232619, + 382201381, + -1, + 194037953, + 374216734, + -1, + 350879376, + -1, + 42293191, + 576223787, + 695025527, + 675310452, + -1, + -1, + 116798249, + 839447394, + 158444870, + 395331035, + -1, + 531077879, + 659485826, + 661397145, + 57763421, + -1, + 300533908, + 17513333, + 684807126, + -1, + 439291858, + 801881027, + 484729768, + -1, + 770271430, + -1, + 377267475, + -1, + -1, + -1, + 309409722, + 416224272, + 100767914, + 352733315, + -1, + 907230582, + -1, + 273458119, + -1, + 742734031, + 347190044, + -1, + 929439531, + 688532884, + 192321802, + 243228276, + -1, + -1, + -1, + -1, + 240534925, + -1, + 476655977, + 313819631, + 309951912, + 217347527, + 376381581, + -1, + 217344302, + 591573426, + 243999592, + 485706004, + 261567926, + 93125538, + 122734279, + 714155618, + 788238954, + 451087755, + 110871275, + 259967684, + 607072075, + 978379288, + 714490546, + -1, + 598515997, + 53548788, + 614677836, + 275030925, + -1, + 996677126, + 67864182, + -1, + 439083470, + 645397509, + -1, + 294375907, + 679582676, + 544533605, + 434106447, + 70086042, + 848610517, + 323227664, + -1, + 461909524, + 443568074, + 861425538, + 438024039, + -1, + 820164115, + 966485506, + -1, + 30674290, + 33141158, + 894652, + -1, + 90652441, + 740416405, + 269424157, + -1, + -1, + -1, + 266445425, + -1, + 966990297, + 154899379, + -1, + 10117586, + 827947658, + 848318625, + -1, + 707999264, + -1, + 263707896, + 974502664, + -1, + 10622653, + 871641405, + -1, + 572775254, + -1, + 572851596, + 617340621, + 917735118, + 674398021, + 228832010, + 731008949, + 623128519, + 814552550, + -1, + 600826991, + -1, + -1, + -1, + 343429463, + -1, + 739335912, + 251273404, + -1, + 880675622, + 623106816, + 964147769, + -1, + 262239286, + -1, + -1, + 490755568, + 986787018, + 353410641, + 950603029, + -1, + -1, + 485210774, + 720284653, + 944680030, + -1, + 632735847, + -1, + 524241193, + 43265797, + 294166284, + 534752823, + 108706887, + 619510914, + -1, + 110451884, + -1, + -1, + -1, + 137583914, + 299138021, + -1, + 429349968, + 566603191, + 121182951, + 50401965, + 430167115, + -1, + 795446767, + -1, + -1, + 104694013, + 76400918, + 282616339, + -1, + 187428369, + 250970244, + 500641448, + 886507727, + 112786421, + -1, + -1, + 778203685, + 913573680, + 596975456, + 467401517, + 710457781, + 998367344, + -1, + 411031359, + 407926900, + 960669989, + -1, + -1, + -1, + -1, + 841321700, + -1, + -1, + 588737341, + -1, + -1, + 587285531, + -1, + 695352018, + 44177429, + 285389666, + 112018419, + 420180298, + 98113434, + 177993798, + -1, + -1, + 200762961, + 855007853, + 608363297, + -1, + -1, + 950328079, + 485660843, + 331553844, + 727865117, + -1, + 841649409, + 996476787, + 525429436, + -1, + -1, + -1, + 202720862, + -1, + -1, + 117257394, + -1, + 477728420, + -1, + 155063560, + 224922176, + -1, + 125532253, + 978192200, + 286856208, + -1, + 53908994, + 290010838, + 29334180, + 260902011, + 344932060, + 734175821, + 502179176, + 150991102, + 31973707, + 389510628, + 131531665, + 920243676, + -1, + 413865852, + 405782289, + 322280062, + -1, + -1, + 999779123, + 942312403, + 263597229, + -1, + -1, + -1, + 536036062, + 374448360, + 548582286, + -1, + 81419037, + 778114632, + 132866629, + 63087124, + 857573661, + 203667306, + 747755738, + -1, + -1, + 226028580, + 218807785, + 800114234, + 778512182, + 708538533, + -1, + 588598837, + 634845510, + -1, + -1, + 574963506, + -1, + -1, + 99039619, + -1, + 879817135, + 146939832, + 238228729, + -1, + 936943739, + 206757487, + 337220969, + 877956952, + -1, + 705162483, + 928651793, + 741564516, + 721175685, + 900815606, + 594072096, + 661722864, + -1, + 842469476, + -1, + 313501418, + -1, + 242941778, + -1, + 905113552, + -1, + 959453681, + 477338723, + 247403819, + -1, + 375108873, + -1, + 180792965, + 16215636, + 475368911, + 742961385, + 387615902, + 442175140, + 930924809, + 719909469, + -1, + -1, + 98035576, + 695436484, + 111975579, + -1, + -1, + 369254902, + 987024593, + 256543973, + 437513429, + 908980856, + 735461922, + 205774001, + 918933895, + -1, + -1, + 995255486, + 153095253, + 508210986, + 223727177, + -1, + 893502539, + 400955310, + 491901702, + -1, + 738429909, + 434194105, + 57013662, + 929518662, + 155611287, + 891083733, + -1, + 472239790, + 490968406, + -1, + 322964290, + 880096721, + 134844112, + 133018451, + -1, + 154182743, + 99641063, + 815067353, + 453532135, + 869843713, + 837972136, + 640956862, + 361178067, + -1, + 58939050, + -1, + -1, + -1, + -1, + 61206282, + 612358375, + 499999987, + 397889037, + 591656835, + 134883280, + 705453539, + -1, + 862495194, + 965235189, + -1, + 69846501, + 49483744, + 761683387, + -1, + 530560403, + 8134294, + 808511627, + 706507347, + 733579068, + 940843779, + 476823014, + 772445038, + -1, + 653397055, + 566344459, + 681494965, + 151100642, + 528633509, + 331449111, + 513912047, + 982474937, + 305831145, + 263757326, + 282303687, + -1, + -1, + 675201163, + -1, + -1, + 951117000, + 436882090, + 934616871, + 106704180, + -1, + 368687071, + 842953872, + 822655437, + 70940389, + 54627670, + 411121592, + 770567652, + 729088233, + 576764551, + 12127923, + 559595830, + 620954254, + -1, + 639973258, + 19169334, + 975704797, + 682464454, + -1, + 794485218, + 463695, + 535754451, + 274821600, + 708239838, + -1, + 875270873, + -1, + 860789552, + -1, + 58537944, + 368725172, + -1, + 320254444, + 132562513, + 773347005, + 946012244, + 692675773, + -1, + -1, + 22951526, + 825698174, + 561205826, + 490159049, + 276156466, + 916985229, + -1, + 250666671, + 848906728, + 236529761, + 605542462, + 225592884, + 742124573, + 932885897, + 908692921, + -1, + 967248679, + 409712844, + -1, + -1, + 210689535, + 712133737, + 165419217, + -1, + -1, + -1, + 898576748, + 970625704, + 920772044, + 150806569, + 834020073, + 292306767, + 508027345, + 474663231, + 468124170, + 21359344, + -1, + 468727974, + -1, + 319939788, + -1, + 120390803, + 289212545, + 582707164, + -1, + -1, + 433874490, + 899676391, + 133600796, + 452347495, + 744287257, + 82438502, + 483615455, + 737154470, + 854274273, + 419435191, + 46800123, + -1, + -1, + 830930581, + -1, + 274183067, + 927766095, + 196313946, + -1, + 439812763, + 820411110, + 871646849, + -1, + -1, + -1, + 336874485, + 378557471, + 730979694, + -1, + -1, + 814518981, + 513282865, + -1, + 400726046, + 986250300, + 633556129, + -1, + 983201719, + -1, + 40292108, + 789043582, + -1, + 606455622, + 756564615, + 966960784, + -1, + 771705122, + 65766205, + -1, + -1, + 22988231, + 241299500, + 695963121, + 806846961, + 255023440, + 599728138, + 716526513, + -1, + 496306050, + 853295615, + 540559949, + 529728916, + -1, + 968036312, + 228317742, + 544612812, + 49985773, + -1, + 128713289, + -1, + -1, + 193008511, + 752532210, + -1, + 812736222, + 222625883, + 955372805, + 608443682, + -1, + -1, + 146668716, + 356491154, + 912060551, + 449618096, + 114187188, + 298101019, + 20009296, + 681390159, + -1, + 808777109, + -1, + 4060761, + 264145995, + 516488041, + 38439399, + -1, + 73420922, + -1, + -1, + -1, + 114179429, + -1, + 630464073, + 483931421, + 206420576, + -1, + 787913469, + 440311333, + 519129160, + -1, + 655728470, + -1, + -1, + -1, + 501039284, + -1, + -1, + 637559893, + 937496797, + -1, + 871284789, + -1, + 12392020, + 816386847, + 146944706, + -1, + 64469869, + 125211155, + 778196698, + 449432243, + 167131660, + 957365108, + 321713156, + 634779344, + 448328984, + 989092260, + 571360125, + 647710291, + -1, + -1, + 549969334, + -1, + 18278794, + 246671404, + 65108080, + 430894191, + 801227076, + -1, + 270861721, + 563670873, + -1, + 338984769, + 299678181, + 485161336, + 253429065, + 934883389, + 770881195, + 291527451, + 542749033, + 931501425, + 651581379, + -1, + -1, + -1, + -1, + 591227480, + 432965769, + 615287865, + 913746624, + 297634737, + 822887176, + 787183369, + -1, + -1, + -1, + 509433611, + 607365371, + -1, + 932802046, + 220268045, + 40261725, + 817299626, + 234882326, + 850322983, + -1, + -1, + 122564417, + 520239367, + -1, + -1, + 530930086, + 63225364, + -1, + 774549608, + -1, + 311629027, + 147004780, + 620013069, + 219308180, + -1, + -1, + -1, + -1, + 675849258, + 330614845, + 912367387, + -1, + -1, + 162114811, + 136250083, + 223411067, + 31231526, + 712900738, + -1, + 404120431, + 646640103, + -1, + 951757228, + 750421486, + 441875321, + 362744967, + -1, + 684738069, + 65189520, + 222326039, + 779189395, + 405265206, + 671167638, + 963427326, + -1, + 837477891, + 534649504, + 763759549, + 833584301, + 285185010, + 693727805, + 276903701, + -1, + 621952179, + 869463981, + 297417724, + 433921838, + 664938596, + 734633856, + 530116471, + 715093014, + 971113572, + -1, + 140911432, + 904615717, + 223990913, + 853633149, + -1, + 899013237, + 184275416, + -1, + 137281412, + -1, + -1, + -1, + 960279901, + -1, + 567456989, + 867825367, + 926799565, + 251352710, + 54059493, + -1, + -1, + 419914911, + 768758375, + 378460760, + -1, + -1, + 294429633, + 221955400, + 851898706, + 791209734, + 79354155, + 10184695, + 93580585, + 912971012, + 804405351, + -1, + 684307635, + -1, + -1, + 344813843, + 345875083, + 473152418, + -1, + 653884558, + 641660237, + 676917639, + 240827032, + 480474626, + -1, + -1, + -1, + -1, + -1, + 892827786, + 146324087, + -1, + -1, + -1, + 601261211, + 588911054, + 401729605, + 297099217, + -1, + -1, + 504004152, + 930669412, + 256310889, + 643712527, + 452224648, + 1873986, + 446053954, + 751015750, + 811191979, + 534082094, + 68915931, + -1, + 256063752, + 54640537, + 126058047, + -1, + 115453246, + 88470568, + -1, + 968549643, + -1, + -1, + 90940983, + -1, + 833564981, + 519396943, + 970741974, + 391621497, + 478812124, + 483753267, + 133477625, + 351607469, + -1, + -1, + 205384295, + 951457383, + 362610628, + 99475601, + -1, + -1, + 730510413, + 308367856, + -1, + 390485644, + 272460780, + 904265796, + 940745290, + 329769197, + 694403005, + -1, + 219258412, + -1, + -1, + -1, + 43296256, + 428942773, + 73081736, + 367849242, + 104834536, + -1, + 17721494, + -1, + 749451922, + 989002675, + -1, + 760454845, + 928038088, + 753474647, + 950321764, + 436653698, + 14123963, + -1, + 908181524, + 35743376, + 56978521, + -1, + -1, + 977129873, + 832833756, + 206220427, + -1, + 627289110, + -1, + 9492456, + 552488378, + 234371943, + 425427233, + 128578768, + -1, + 927355779, + 242771798, + 804766393, + -1, + 462249877, + 859692783, + 604154764, + 230699734, + -1, + 81470587, + 568925500, + 900882664, + -1, + -1, + 35554500, + -1, + -1, + -1, + -1, + -1, + 839400072, + 491206955, + 744718462, + -1, + 822797384, + 177616602, + 969514790, + -1, + 513606089, + -1, + 60067241, + -1, + 710775399, + -1, + -1, + 104729882, + 940676892, + 961094246, + 631066785, + 824928646, + 466303744, + -1, + -1, + -1, + 528769535, + 523894552, + -1, + 748132324, + -1, + 45430729, + 517354561, + 554963814, + 465797180, + -1, + -1, + -1, + 18626370, + -1, + 551113609, + -1, + 289576337, + -1, + -1, + -1, + 325781945, + 402416304, + 852126796, + 802993029, + -1, + 490644291, + -1, + -1, + 513247810, + 988743530, + -1, + 417892888, + 539829357, + 818023486, + 251102733, + 19171260, + 224111231, + 477264378, + -1, + -1, + 466971942, + -1, + 87488993, + -1, + 205218371, + -1, + 536710776, + 228763185, + 813950875, + 599425570, + 243852668, + 542766575, + 268805503, + 528488364, + 602542946, + -1, + 754220039, + 196490981, + -1, + -1, + -1, + -1, + -1, + -1, + 784907434, + -1, + 950216986, + 385111508, + 334155364, + 820086496, + 109757201, + 591117585, + -1, + 520188630, + 502529164, + -1, + -1, + 582946837, + -1, + 9483209, + 441669168, + 659186275, + -1, + 765859312, + 313141832, + 130453697, + -1, + 801750871, + 940237718, + -1, + 415063876, + 571011169, + 900560185, + -1, + 663414994, + 898662449, + 831402309, + 245704882, + -1, + -1, + 616702729, + 200832708, + 642965004, + 347267344, + 251074599, + 337176868, + 983659080, + 309826429, + 736691274, + 988058319, + 71525713, + 922082379, + 92466483, + 583433606, + 180697488, + -1, + 752113373, + 667902675, + 525944835, + 342710434, + 514226499, + 111241528, + -1, + -1, + 315229177, + 606399303, + 844064565, + 174808970, + 727566703, + 59064578, + 204623813, + -1, + -1, + 97828316, + 671497223, + 186521936, + 177673233, + 477715356, + -1, + 122634114, + 577992537, + -1, + 758905393, + -1, + 661949591, + 34596160, + 339347799, + 114926450, + 762560747, + -1, + 346838068, + 243832335, + 460405458, + 367664212, + 493058370, + 976063104, + -1, + 60820439, + -1, + -1, + -1, + -1, + -1, + 253100682, + -1, + -1, + 65264322, + 243678852, + 922516462, + -1, + 156264247, + -1, + -1, + 60242953, + 992365621, + 151555628, + -1, + 562542384, + 825710601, + 61072502, + -1, + 691558299, + 560277934, + 981342852, + 839934164, + 219149755, + 986778871, + -1, + 200224236, + 417829631, + 986898025, + 493866014, + 926675801, + -1, + 769733090, + 433703050, + 133347256, + 796030791, + 141402657, + 362394772, + 663624639, + 15083351, + 993887092, + 7141025, + 1490793, + 933244506, + 42846972, + -1, + -1, + -1, + -1, + 802619286, + 19705686, + 945677314, + -1, + 795257296, + 917971826, + -1, + 172914227, + 38919072, + 156391711, + 670217607, + 684106770, + 916656937, + -1, + 514994816, + 179269058, + 626571357, + 471801904, + -1, + 932920219, + 279830390, + 738102754, + -1, + 19459208, + -1, + 606554841, + -1, + 258800061, + -1, + 827597972, + 366089590, + 743316583, + 360411965, + 940005150, + -1, + 647420135, + 325761076, + 33445391, + 680441684, + 655061417, + 546913034, + 729555536, + 587160543, + 224252963, + 874688418, + 257733833, + 256710213, + 55859837, + 687682908, + 879847453, + -1, + 337208303, + 13307792, + 158226653, + -1, + -1, + 919710342, + 26429329, + 365439242, + 871189926, + 868945062, + 929149746, + 170765453, + 503241722, + -1, + 924532047, + 6530462, + -1, + 139169738, + 981204482, + 426773038, + 550382785, + 984878646, + -1, + 326032604, + 626875088, + -1, + 178897146, + 580014081, + 789428510, + 156724894, + 31151759, + 205421914, + 404268729, + -1, + 865004356, + 809217012, + -1, + 221404362, + -1, + -1, + -1, + 704002449, + 658055372, + 509114625, + 456503664, + 741247420, + 892144708, + -1, + 835776672, + -1, + -1, + 428087060, + 49715472, + -1, + -1, + -1, + 46846082, + 489082711, + -1, + 953572260, + 5500815, + -1, + 659767899, + 907990291, + 892454976, + 131641473, + 710296065, + 160936790, + 180347602, + 100013338, + 200807926, + -1, + 146185573, + -1, + 688435530, + 870966904, + -1, + -1, + 344625801, + -1, + 827985216, + -1, + 291550128, + -1, + 53739541, + 975739817, + 271277984, + 726247025, + 98561337, + 261660073, + 59814926, + 46464150, + 910379899, + -1, + -1, + 532774065, + 579292688, + 925215624, + 216329887, + -1, + -1, + 32002114, + 357608151, + 686095826, + -1, + -1, + -1, + 893253245, + 231655003, + 14864577, + 233387160, + 17113474, + 869318052, + -1, + 922589763, + -1, + -1, + -1, + 906389024, + -1, + 721288324, + 166582114, + 677448698, + 114875129, + 943592067, + 604533800, + 344746114, + 176154438, + -1, + 209588904, + 191695674, + 799088646, + 665665581, + -1, + -1, + 339791340, + 400275019, + -1, + 668842625, + 386792586, + -1, + 214199000, + 57904433, + 12314030, + 668873301, + 862269411, + 905338327, + 409915553, + 603761200, + 256761415, + 573601507, + 515276084, + 763901344, + 609364929, + -1, + -1, + -1, + 41376031, + 379869743, + -1, + 506157198, + 640000167, + -1, + 861662627, + -1, + 819430397, + 335275903, + 916434988, + 281212957, + 469952514, + 479038802, + 46874166, + 101765420, + 168764929, + 177093156, + 977823408, + 363862200, + 16433440, + 887214892, + 940845472, + 81828033, + 470818556, + 366746634, + 317718967, + 536284961, + 200052365, + -1, + 7203815, + 52245584, + 330660849, + 587190643, + -1, + 154714631, + 678167204, + -1, + -1, + -1, + -1, + 327300586, + 85529220, + -1, + 612990948, + -1, + -1, + -1, + 701048807, + 222863531, + 874798580, + 128465054, + -1, + 829049949, + -1, + 134753106, + 576638206, + -1, + 89786316, + 719673508, + -1, + 907925582, + 309368263, + 182886036, + 388188480, + 556747369, + -1, + -1, + -1, + -1, + 244232966, + -1, + -1, + -1, + 465277335, + -1, + 613997364, + 184791922, + 463077679, + 404710455, + 289821316, + 291344987, + 148154653, + 452415984, + 128501050, + 563716577, + 218476208, + -1, + 792114563, + 797177540, + 161345769, + 418854441, + 833686800, + 423878357, + 108500212, + -1, + 630788756, + -1, + -1, + -1, + 888998132, + 886624033, + 987319347, + 33909386, + -1, + -1, + 288528065, + -1, + 310510042, + 455279866, + 465339450, + 555974243, + 586113407, + -1, + 686198653, + -1, + 255653635, + -1, + 100406369, + 48093587, + 20043161, + -1, + 991319422, + 914582058, + 375115148, + -1, + 329850905, + 46155031, + 975396755, + 760476174, + 495475569, + -1, + -1, + 681820209, + 296753797, + 879993210, + 289304085, + 587530074, + 943797535, + -1, + 499533856, + 356126145, + -1, + -1, + 309828245, + 876366907, + -1, + 26178270, + -1, + -1, + 630853547, + 298355043, + 65145962, + 409822602, + -1, + 806355301, + 490788571, + 153248050, + 393002642, + 392043186, + 236598242, + 327839029, + 495772853, + -1, + -1, + 932019737, + 274368082, + -1, + 241735063, + -1, + 281358310, + -1, + 844776592, + 905686605, + 99765107, + 598853993, + 191125789, + 380476030, + 698061534, + -1, + 479448908, + -1, + 24134533, + -1, + 107449004, + 830788598, + 762908440, + 916843690, + -1, + 334222635, + 593368601, + 900183457, + -1, + 997423397, + -1, + -1, + 616120733, + 593977666, + 527677960, + -1, + 11425349, + -1, + -1, + 357287887, + 360646256, + -1, + 757810685, + 515418163, + 452253918, + -1, + 416169824, + 974346500, + -1, + 473614100, + -1, + 909299910, + 73652959, + 367249469, + -1, + 313766994, + 347585462, + 887312687, + 993816605, + 354712770, + 655412832, + -1, + -1, + -1, + 378184493, + -1, + 240612252, + 112573070, + 965234411, + 900232443, + 430741025, + 605027324, + 173432072, + 229354629, + -1, + 959307520, + 17045104, + 72008976, + -1, + -1, + 558346301, + 972010228, + -1, + -1, + 534336983, + 110879795, + 495281478, + 159631354, + -1, + 347047244, + 285955485, + 111516177, + -1, + 673642279, + -1, + 838416399, + 962030785, + 649585176, + 600815384, + 692648450, + 217970692, + -1, + -1, + 67840659, + 652993360, + 401631851, + 441100321, + 622410753, + 531564859, + -1, + -1, + -1, + 749152985, + -1, + -1, + 610763171, + 373512523, + -1, + 482461412, + 374844293, + 314768526, + 80194841, + 221596561, + -1, + 7142330, + 200774394, + 357578091, + 104791822, + 395596167, + -1, + 568970223, + 799843781, + -1, + 304565654, + 538086415, + -1, + 147987241, + 935563431, + 323875698, + 630755011, + 492399265, + 284217400, + 73833402, + 101759166, + -1, + 139138958, + 780721239, + 819637091, + 158874432, + 275215878, + 998333082, + -1, + 156577723, + 917601195, + -1, + 190668594, + -1, + 947696852, + -1, + 240669652, + 969484554, + -1, + -1, + 501563551, + 15194150, + 982192996, + -1, + 459441915, + 308087178, + 860527267, + 909875448, + -1, + 948418996, + 55738561, + 728467755, + -1, + -1, + 987491606, + -1, + -1, + -1, + 59659167, + 404713907, + 464620408, + -1, + 184490200, + -1, + -1, + -1, + -1, + 180174174, + -1, + 77519061, + 473834632, + 572857093, + 344342230, + 139580724, + 482532960, + -1, + 259407650, + 988580799, + 295337539, + -1, + 234074751, + -1, + -1, + 553589137, + 548201888, + 348589697, + -1, + -1, + 572953734, + 417673269, + 387522853, + 52471923, + 707028824, + 298272848, + 871496508, + 699958431, + 460340420, + 266373659, + 787392468, + 389096901, + 601279604, + -1, + 275910556, + 975184966, + 113107471, + -1, + 944440175, + -1, + 389696797, + 576103358, + -1, + 490024559, + 696830316, + 752362724, + 61444676, + -1, + 932496178, + 266981396, + 64041150, + 504822533, + -1, + 426602302, + 995960052, + -1, + 277873318, + 299819859, + 928404982, + 920378286, + -1, + -1, + -1, + 60399306, + -1, + 472974112, + -1, + 14031993, + -1, + 91944161, + -1, + 198305135, + 201899275, + -1, + 471073295, + -1, + 823970973, + -1, + 243199647, + 343219059, + 596721130, + 301338955, + 153731737, + 87242413, + 785180451, + -1, + 761579988, + 995038662, + 670998249, + 411459139, + 268693924, + 742207794, + -1, + -1, + 864596748, + 850785270, + -1, + 397561846, + 709393391, + 853543118, + -1, + 475473229, + -1, + -1, + -1, + 934720617, + -1, + 452174487, + 421318101, + 4187794, + 211101213, + -1, + 650518286, + -1, + 948205874, + 240272726, + -1, + 714819387, + 529703963, + 210091237, + 495636903, + 119305063, + -1, + 85768640, + 818644172, + 43987860, + 664442634, + 988774249, + -1, + 515606192, + 323370323, + 67909312, + 953637861, + 694373948, + -1, + 426637658, + -1, + -1, + 924208544, + -1, + -1, + 844624489, + 419853916, + 395025521, + -1, + -1, + 731383509, + -1, + -1, + 95953503, + 773713069, + -1, + -1, + 284160365, + 651442658, + 506321083, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 460518156, + -1, + 613855444, + 98257335, + 497604431, + 238207172, + 754741979, + -1, + 44624262, + -1, + 718832061, + 237587461, + 125682409, + 100267876, + -1, + -1, + 201953144, + 240411207, + 557282604, + 150960898, + 971984552, + 870747338, + -1, + 303492867, + 729210259, + 653882325, + 117315225, + 735116251, + 918016401, + 547786743, + 735402537, + -1, + 420021724, + 475154051, + 211667670, + 308526181, + -1, + 264458675, + 897441646, + 776407746, + 666017894, + 287895917, + 717408338, + 200208605, + 486286885, + 384891348, + 966844062, + -1, + 418205210, + 516757074, + 569786459, + 255263926, + 390385107, + -1, + 742249695, + 442728724, + 70098440, + 88398965, + 257722916, + 890799440, + -1, + -1, + -1, + 830471803, + -1, + -1, + 536660457, + -1, + -1, + 342183765, + -1, + 441492879, + 938626413, + 558085131, + 512831020, + 63359329, + 320925166, + 849131471, + -1, + -1, + -1, + 491927743, + 946370817, + 70269337, + 320727092, + 963843033, + -1, + 5574340, + 694321319, + -1, + -1, + 676531180, + -1, + -1, + 378788954, + 563791347, + -1, + 429124678, + 843673886, + 28609285, + -1, + 553876425, + 546879895, + -1, + 578450104, + 88334381, + 782264770, + 253683823, + -1, + 774877199, + 298224452, + 712755600, + 672836821, + -1, + 620358425, + 158389622, + -1, + 431822174, + 72779051, + -1, + 993113600, + 198827220, + -1, + -1, + 915286604, + -1, + 74115950, + -1, + 71547856, + -1, + 32595302, + 837888487, + -1, + -1, + 971439957, + 686118335, + -1, + 233042507, + 870382432, + 678344428, + 944560838, + 561573910, + 50178302, + 267422999, + -1, + 550089844, + 786281556, + 817197859, + 896029912, + 885756879, + 656871074, + 464064796, + 863079280, + -1, + -1, + 516867617, + -1, + 154845078, + 96679124, + 720032397, + 53402455, + 841980243, + 5521945, + 536512223, + 372413280, + 500710424, + -1, + -1, + -1, + -1, + 559626253, + 408065806, + 461601889, + -1, + -1, + 28733537, + -1, + -1, + 908824722, + -1, + 239096217, + 111937686, + 835747780, + 373472584, + 357070878, + 900771598, + 895925827, + -1, + 709361864, + 976209276, + -1, + 443811814, + 148416542, + 66010496, + 290880891, + -1, + 888382761, + -1, + -1, + -1, + 776086261, + 840487318, + 880302150, + 183744424, + 372211893, + -1, + 886866173, + -1, + -1, + 898822409, + 631582763, + 504894251, + 875339949, + -1, + 186365410, + 534661768, + 198376052, + 867765649, + -1, + -1, + 512667240, + -1, + -1, + 965652956, + 346445475, + 595944786, + -1, + 220984784, + 512783302, + 81503687, + 482698365, + 740965706, + 543235601, + 848628394, + 588987477, + -1, + 958948893, + 647641159, + 472984844, + -1, + -1, + 996127030, + 219257946, + -1, + 149946933, + 39028897, + 13870564, + -1, + 511767378, + 799760067, + 731353669, + 15609799, + 19087949, + 405411691, + 940389673, + 513637227, + 771447133, + 423779628, + 771038879, + 485679453, + 394306981, + 509264623, + 125938412, + 189316661, + 952527003, + 373486481, + -1, + -1, + 595590890, + 95705787, + 673476946, + -1, + -1, + -1, + 713515512, + 729631738, + 971896252, + 653081188, + -1, + 679676304, + 729873866, + 927178576, + -1, + 620880120, + 686382264, + 79488454, + -1, + 672944626, + -1, + -1, + 85068839, + 127729061, + 877681090, + -1, + 192952518, + 612289908, + 869931219, + -1, + -1, + 336727461, + 313833315, + 589260718, + -1, + 503999479, + 166385206, + 12979677, + 163757650, + 869324685, + 612590712, + -1, + 127682214, + 2700715, + 482713716, + 755617913, + 879496329, + 447520189, + -1, + 903091117, + 894943254, + -1, + 196770177, + 230444813, + 707077817, + 988070491, + 611548414, + 756923362, + 664366584, + 582502961, + 353617599, + -1, + 33606659, + 643141937, + -1, + -1, + 105612837, + 890720958, + 384279288, + 877224907, + -1, + 706909411, + 17927416, + -1, + -1, + -1, + 479101558, + 748390097, + 246479210, + -1, + 323201080, + -1, + -1, + 274872644, + 120495086, + -1, + -1, + 968922825, + 540589388, + 556551237, + 343243912, + -1, + -1, + 379188895, + -1, + 275257105, + 510670703, + 429618591, + 206687591, + 588348290, + 147818258, + -1, + -1, + 443381067, + 613618541, + 440093031, + 507636312, + 144470071, + 470895753, + 84979934, + 42923426, + -1, + -1, + 469153128, + -1, + 833934183, + -1, + 230026981, + 586312915, + 852507353, + 60561122, + 157625177, + 704416549, + 209448473, + 820464526, + -1, + 518826291, + 674824623, + 328618646, + 180037369, + 790845482, + -1, + 240482160, + -1, + 941737476, + 704189647, + -1, + -1, + 991752392, + -1, + 764017447, + 396864691, + 17947216, + 281327977, + 918587928, + 975077617, + 780259889, + -1, + 678409136, + 213644879, + 177671268, + -1, + -1, + 666173297, + 295399685, + 397084523, + 880667341, + 650728392, + 971636044, + -1, + 326927752, + 855518232, + 700896465, + 64217105, + 882304578, + 726517635, + 927577154, + 6614507, + 991773780, + -1, + 183893518, + 832858288, + 231414132, + 538487208, + 721132380, + -1, + 715671956, + 743151535, + 367625744, + -1, + 817326306, + 582866960, + -1, + 185798000, + -1, + 522534223, + 533944332, + 524364651, + -1, + 886411430, + 160736041, + 393348532, + -1, + -1, + 799226757, + 144912872, + 236186577, + 662439148, + 440234773, + 735285558, + 121519143, + 344957163, + 419525189, + 815352018, + 530115790, + 120768062, + 197156129, + 251097789, + -1, + -1, + 262699238, + -1, + 494859322, + -1, + -1, + -1, + 390659598, + 20032402, + 705006998, + -1, + 578183951, + -1, + 612772851, + -1, + 288274241, + 969581690, + 480675629, + 694683012, + 278692649, + -1, + 153185479, + 840329895, + 474151919, + 530824194, + 839386997, + 548708360, + 726817491, + 595321696, + 185207471, + -1, + -1, + 78642519, + 162624037, + 775425482, + 965407587, + -1, + -1, + 245146790, + -1, + 851310751, + -1, + 763159746, + 718363182, + -1, + -1, + -1, + -1, + 594449743, + 958326288, + 461898033, + 636319808, + -1, + 643289663, + 573099517, + 363581827, + -1, + -1, + 313728414, + 226301819, + 957102520, + 844204783, + 159491993, + 797494703, + 44529086, + 981255907, + -1, + 910077341, + 494391912, + -1, + 942596431, + -1, + -1, + 700839948, + 384892891, + 359803749, + -1, + 581993759, + 486565243, + 332482378, + 608639284, + 352130419, + -1, + 410651697, + 763610739, + 278536615, + -1, + -1, + 781116023, + -1, + -1, + -1, + 874221872, + 943263153, + 906115527, + 501668953, + 962697757, + 270979646, + 68415575, + -1, + -1, + 589778632, + 32093296, + -1, + 859744745, + 842084785, + 545204844, + -1, + 547850593, + 193899896, + -1, + 526668172, + 855761721, + -1, + -1, + 517131593, + -1, + 552660633, + 266536815, + 587909913, + 133298229, + 662386099, + 696539574, + 884514587, + -1, + -1, + -1, + 243097317, + 683093338, + 668775681, + 215097170, + -1, + 139800833, + 983029304, + 915691838, + -1, + 65228686, + -1, + 573834900, + -1, + 717702929, + -1, + 548202644, + 52260698, + 558002112, + 601121092, + 123647753, + 37093603, + -1, + 835662861, + -1, + -1, + 746872578, + -1, + 603124077, + -1, + 182127036, + 832600688, + -1, + -1, + -1, + 235491933, + 951870276, + 807843983, + 298352089, + -1, + -1, + -1, + 699018330, + -1, + 847694985, + -1, + -1, + -1, + 21963098, + -1, + 896115442, + -1, + 157472264, + 555377341, + 188628729, + 266875055, + -1, + 716438174, + 480549689, + 273881817, + 902946651, + -1, + 289411282, + -1, + 386100029, + -1, + -1, + 686579150, + 277030853, + -1, + -1, + 980265121, + 407446924, + 814122602, + 727640837, + 356009150, + -1, + 251439361, + 604838274, + -1, + 610735863, + -1, + 217779082, + -1, + 989101312, + 861963509, + -1, + 151671695, + 425394242, + 456170997, + 146182316, + 143044247, + 89638073, + 186700678, + 325530847, + 375515229, + -1, + -1, + 57180182, + 373403693, + -1, + 822165735, + 640118528, + -1, + -1, + 13688802, + -1, + -1, + -1, + 421885178, + 963476105, + -1, + 424803900, + -1, + 299201326, + 528505143, + 264838747, + -1, + -1, + 188025900, + -1, + 182235594, + 128286990, + 781594012, + -1, + -1, + 835337354, + -1, + 266098102, + -1, + 580459283, + 730600566, + 974802519, + 839503815, + 659717801, + 548918976, + 62326512, + 401848573, + 50235397, + 629215984, + -1, + 291146472, + 149655294, + 443623584, + -1, + 905503557, + -1, + 740255189, + 592718060, + 180794135, + 440613317, + -1, + -1, + -1, + 705789992, + -1, + -1, + 292235644, + -1, + 482081708, + -1, + -1, + 117568385, + 861562010, + 395616879, + 258186439, + 343890772, + 281017423, + 671186862, + 300522745, + -1, + 573783958, + 991996092, + 809456297, + 750724618, + 31457137, + -1, + -1, + 269991642, + 862127900, + 598313281, + 291044, + 21276554, + 290439579, + 812103559, + -1, + -1, + 430230786, + 250561269, + 872474273, + 7976245, + 104256024, + 615323985, + -1, + 820228081, + 665702520, + 686613362, + 418586949, + 176112156, + 324906885, + 894215526, + -1, + 880147462, + -1, + 488232812, + 179758272, + -1, + 240523387, + -1, + 843204702, + 2467788, + -1, + -1, + 219050580, + -1, + 43737811, + -1, + 432682979, + 188212271, + 272658290, + 528977109, + 308223619, + -1, + 279057958, + 984974096, + 216128846, + 117929526, + -1, + 283067254, + 914514412, + 450010900, + -1, + 186083264, + 941851888, + -1, + 736744270, + 112979633, + -1, + 982018987, + -1, + 557614160, + -1, + 953769147, + 360154619, + 30923993, + -1, + 334868644, + 837257213, + 257529762, + 468478863, + 458372134, + 372667461, + -1, + 50434130, + 179471231, + -1, + -1, + 963026081, + -1, + -1, + -1, + 267472294, + -1, + 881595987, + 411436194, + 798557655, + 573623293, + 251154565, + 831424464, + 514238966, + 447571921, + 359128596, + -1, + -1, + 402413483, + 496899847, + 457039797, + -1, + 177718736, + 714015519, + 152502484, + -1, + 890274313, + -1, + 902467857, + 972251685, + 411712096, + -1, + 795949703, + 807535162, + 339769839, + 428579163, + 942480039, + -1, + 562803092, + 443076634, + -1, + 151052051, + 418907155, + 42609744, + 344964221, + -1, + 174544984, + 311386640, + -1, + 670927358, + 50788417, + 611918485, + 650735910, + 901425158, + -1, + 509332544, + -1, + 788741184, + 987677669, + -1, + -1, + 558100717, + 527983943, + -1, + -1, + 616069120, + 941525605, + 891261543, + -1, + 49663203, + 322663933, + -1, + -1, + 409284763, + 811917269, + 490018904, + 924147627, + -1, + 623211102, + -1, + 841959299, + -1, + 817856153, + 323310355, + 783011298, + 939911315, + 2713852, + -1, + -1, + 352214867, + 495651349, + 752836386, + 973750403, + -1, + -1, + -1, + -1, + -1, + -1, + 197637962, + 443951220, + -1, + 659495381, + 190172270, + -1, + 478130971, + 680405617, + 946644574, + 993760354, + 67959455, + -1, + 171162921, + 361007686, + -1, + -1, + 689086006, + 222961481, + 530598011, + -1, + -1, + 254050331, + -1, + 691834295, + 370912188, + -1, + 143472971, + 442761757, + -1, + -1, + 635419321, + 958972203, + -1, + 851171524, + 87384561, + 766965701, + 407234308, + -1, + -1, + 897189094, + -1, + -1, + -1, + -1, + 737342109, + -1, + -1, + -1, + -1, + 751041533, + -1, + 679075550, + 429654589, + 703097203, + 458084675, + 658773378, + 725336581, + 644718462, + -1, + 705546214, + 618865922, + 619377369, + -1, + 414458919, + 191690735, + -1, + 80639360, + 155522356, + 755613925, + -1, + 919883090, + 81249855, + 73350658, + 359159324, + 300963109, + 471733984, + -1, + 924576838, + 535432329, + 546157282, + 301496364, + -1, + 615371725, + 916323967, + 444836146, + 824673747, + -1, + -1, + -1, + 736376467, + 166124129, + 294043737, + 988930266, + 328691535, + 990333761, + -1, + 858041944, + -1, + 919579034, + -1, + 583510618, + 75314123, + 297267926, + 75406357, + -1, + 892608878, + 717779070, + 89365038, + -1, + -1, + -1, + 950578931, + 140272730, + -1, + 278172027, + 541435505, + 752603852, + 10305209, + 196714962, + 757429222, + -1, + -1, + 744533108, + 368829766, + 60880212, + 671882196, + 969284111, + 479713458, + 91261890, + -1, + 74767679, + 337880859, + -1, + -1, + 126138032, + 851535671, + 885891140, + 109112545, + 199298713, + 602160268, + -1, + -1, + 979445806, + -1, + -1, + -1, + 271916094, + -1, + 344403080, + -1, + 443496296, + 620839500, + 219322265, + 273227635, + 593094943, + -1, + 430356660, + 732536479, + 196801203, + 544822195, + -1, + 973242125, + -1, + 504131806, + -1, + -1, + -1, + -1, + -1, + 912497271, + -1, + -1, + 874290351, + 115558316, + 214130985, + 989071166, + 354420155, + 679327614, + 992190999, + 243048584, + 621088916, + 486303100, + -1, + 996696999, + 320454626, + 865469085, + 402266321, + 364678110, + 270603729, + 352166536, + -1, + 152054173, + 72080408, + 333450259, + 590716581, + -1, + 2674953, + 170074338, + -1, + 400743907, + -1, + -1, + 616901129, + -1, + 823579099, + 508580648, + 275477977, + 654532017, + -1, + 47120872, + 543727344, + -1, + -1, + 429906405, + 847493913, + 599833108, + 865317535, + 108010210, + 722855982, + 245699322, + -1, + 15738539, + 347967984, + -1, + 943968411, + -1, + 624087237, + 495455767, + 84847673, + -1, + -1, + -1, + -1, + 455708594, + 638195939, + -1, + 295022027, + 195807589, + 540835200, + 342577112, + 265907046, + -1, + 848358696, + 611214870, + 477196496, + 419154314, + 289453989, + -1, + 81621659, + 825699245, + -1, + 312879624, + -1, + 499833870, + 205384251, + -1, + -1, + 887367833, + -1, + 374326522, + 349868252, + 327308259, + -1, + 748746527, + 993694974, + 484249824, + 772952538, + 869792754, + 533955799, + 786421924, + -1, + 594845282, + -1, + 546373521, + 843120369, + 634740828, + -1, + 988172350, + 680171896, + 373027064, + -1, + -1, + -1, + 965784676, + 148825250, + 231194960, + 869495277, + 493417087, + 979645696, + 949643107, + -1, + 776812077, + 38321877, + -1, + -1, + -1, + 874441106, + 871259832, + 330455090, + 295576030, + 681663241, + 799781861, + -1, + 600819167, + 623696087, + -1, + 201774817, + 936021583, + 79650965, + -1, + 853296036, + 491563489, + 769446428, + -1, + -1, + -1, + 833769918, + -1, + 679074960, + 21600006, + 848994224, + 376460179, + 290410211, + 93650773, + 237189773, + -1, + 324660332, + -1, + 320640842, + 364923800, + 558945783, + 821911689, + 956098559, + 127915146, + 623797781, + -1, + -1, + 588009175, + 328746209, + 441712363, + 107060926, + -1, + 791444012, + 393396927, + -1, + 497853422, + 506692420, + -1, + 315902057, + 595441128, + 738645295, + -1, + 31976045, + 81299899, + 964154082, + 36981634, + 336308539, + 465478050, + 304226284, + -1, + 249401959, + 633938590, + 261716504, + -1, + 568547760, + 294051761, + 80081555, + -1, + 652663227, + 249734349, + 758025277, + -1, + 551143935, + -1, + 288896835, + -1, + 541454725, + -1, + -1, + 848136227, + -1, + 318252641, + 627512631, + -1, + 784495332, + 149471747, + -1, + 517510805, + 823142002, + 520329993, + 140892397, + -1, + -1, + -1, + 384091141, + 313826257, + -1, + 41172927, + 817344043, + 949636462, + -1, + -1, + 876245559, + 508716689, + 841961480, + -1, + 536413816, + -1, + 679860931, + 32754150, + 637600372, + -1, + 953458587, + 557822628, + -1, + 514518849, + -1, + 594620686, + 413684486, + -1, + -1, + 510179289, + 647882719, + 48716024, + 851131590, + -1, + 440048992, + 328283804, + 269517011, + 191336137, + -1, + 772403569, + 797517699, + 718515173, + 757328206, + 473254856, + 735423234, + 267217136, + -1, + 745228772, + -1, + -1, + -1, + 745382889, + 37902461, + -1, + -1, + 606924955, + 138851050, + 392766506, + 443331171, + 973989463, + 205305409, + -1, + 570299712, + 409691156, + 979851280, + 887142508, + -1, + 52731402, + -1, + -1, + 697239780, + -1, + 332922354, + -1, + 189022010, + 549893851, + 98367999, + -1, + 413825785, + 775454674, + 505900739, + -1, + 563110586, + -1, + 242418291, + 82108015, + -1, + 288446365, + 174366414, + 8902633, + 988658104, + 407073525, + 544269306, + 649019993, + -1, + -1, + 974377693, + 505982875, + -1, + 606182061, + 343035160, + 958351171, + 216334498, + 47104697, + 645257802, + -1, + 580128046, + -1, + -1, + 337183905, + 243114568, + 512425551, + 742870138, + 708669069, + -1, + -1, + 450577822, + 605837870, + 299246930, + 590005530, + -1, + 339130544, + 557536832, + 974421725, + 208679866, + 251443011, + 847357401, + -1, + -1, + -1, + -1, + 824350632, + 46903486, + -1, + 931302826, + 674834321, + 601637418, + -1, + 329155298, + -1, + -1, + 999797545, + 791156244, + 632572635, + 807268000, + -1, + 800361795, + -1, + -1, + -1, + 175609400, + 512083961, + -1, + 254693975, + 246619855, + 852863637, + -1, + 550190895, + 982633213, + -1, + -1, + 17597681, + 354734182, + 889464242, + -1, + 716432997, + 341344920, + 156265481, + -1, + 896020376, + 874138444, + -1, + -1, + 457051691, + 312684347, + -1, + -1, + 963121278, + 877284756, + 546989957, + 494786188, + 237643505, + 1137150, + 33004196, + -1, + -1, + 642056765, + -1, + -1, + -1, + 805600829, + 986294443, + 128410570, + 291667890, + 401933858, + 133986929, + -1, + 559537063, + 943708666, + 327846117, + 74031821, + 743610648, + 542632729, + 785051357, + -1, + 786608807, + 193488964, + 791782786, + 169165986, + 946595418, + 929457280, + 350789424, + 875199680, + 895867652, + 288904485, + 492646971, + 600262900, + 922225469, + 373368051, + 339848754, + 385790767, + 576177734, + -1, + -1, + -1, + 136390783, + 294448033, + 456207680, + 292462210, + -1, + 394710097, + 704669321, + 980131891, + 445254307, + 750623482, + 644007792, + 432622343, + 402817086, + 423068937, + 250137895, + 961896261, + 29809802, + -1, + 378122883, + 275176630, + 996647106, + 29209943, + -1, + 781226634, + 935726619, + 161031694, + -1, + -1, + 926164630, + 551538681, + -1, + -1, + 989341653, + 87497897, + 810886019, + -1, + 361025809, + 860042730, + 81806083, + 214182203, + 915226925, + 683186820, + 192444079, + -1, + 807060047, + 996513914, + 30169834, + 710862497, + 275744186, + -1, + 603064507, + 389568547, + 318576364, + 724181096, + 779128200, + -1, + 82713725, + -1, + -1, + 884404896, + 22368521, + -1, + 557273866, + 930111713, + -1, + 321238615, + 801464944, + 245809768, + 178892716, + 896115490, + 958280315, + 79115715, + 782357190, + -1, + 25527079, + 674698676, + 894801255, + -1, + 517506769, + 262537186, + 757396703, + 390752410, + 210586045, + 522454407, + 128160715, + 764729248, + 294103834, + 71714463, + 424882066, + 136589292, + 634999568, + 15143522, + 824542893, + -1, + -1, + 106788310, + 807604688, + -1, + 700256405, + 106249307, + 996439209, + 624859933, + -1, + -1, + -1, + 23189427, + 830401242, + -1, + -1, + 893292259, + -1, + 769916691, + 543407328, + 219936411, + 946708146, + 930490718, + 279527803, + 255593958, + 363794252, + -1, + -1, + 362903573, + 491806980, + -1, + 920223833, + -1, + 975210442, + 854548958, + 409650253, + -1, + 185559824, + 583819025, + -1, + 343472725, + -1, + -1, + 649010135, + 373877686, + 793530733, + 355901448, + 8870526, + 246893338, + -1, + -1, + 202502357, + -1, + 506638222, + 85011274, + 559177423, + 736027123, + -1, + 79054749, + -1, + 329046474, + 848382040, + 918104265, + -1, + -1, + 246862000, + 324889879, + 827494245, + 527236928, + 596169817, + -1, + 53695631, + 89416210, + 413848132, + 966844403, + -1, + 619682617, + -1, + -1, + 741980496, + -1, + 33106232, + 462482466, + 339222941, + 768525941, + 794799823, + 552071141, + -1, + -1, + -1, + -1, + -1, + 995425886, + 989012343, + 761798051, + -1, + 154621160, + 5018358, + 600484264, + 401503625, + 720847440, + -1, + 231628199, + -1, + 475170019, + 679329585, + 778775765, + 967689464, + 342530707, + 491280400, + 889243685, + 647625624, + 453585029, + 15280240, + 926159047, + 363138131, + 644009075, + 180545108, + -1, + 144432223, + -1, + -1, + 982596338, + -1, + 364126130, + 262966975, + 367158646, + 22653568, + 987917508, + 139481204, + -1, + 117633775, + 597281461, + -1, + 309012746, + 418006555, + -1, + 971699581, + -1, + 622758791, + 210321089, + -1, + 417355625, + -1, + -1, + 600756540, + 595784934, + 963548357, + 698254704, + 690661425, + 976777924, + 509196872, + -1, + -1, + 885760964, + 510637735, + 985919471, + 192825590, + -1, + 218476852, + 9196598, + -1, + 23309874, + -1, + -1, + -1, + 846420667, + 380957057, + -1, + 765534039, + 303401357, + 981200272, + 781958693, + 415108195, + 534498904, + 788744456, + -1, + 14968495, + -1, + -1, + -1, + -1, + 447276645, + 284906759, + -1, + 597019457, + 850670294, + 407314952, + 21408102, + 657779005, + -1, + 767067364, + 36158749, + 530033344, + -1, + -1, + 951481959, + -1, + 258268637, + 529041093, + 865831674, + 139666835, + 961872416, + 391841900, + 609294801, + 621370427, + 383319698, + 688634274, + 95139654, + 491456247, + -1, + -1, + 684278440, + -1, + 229990232, + 311997096, + 91076576, + 702994198, + 347064450, + -1, + 179349226, + -1, + 282759068, + -1, + 659239666, + 182054873, + 914443245, + -1, + 258851444, + 779531162, + 763808597, + 328413544, + -1, + -1, + 964633495, + 4134715, + 334980367, + 813693993, + -1, + 232150261, + -1, + -1, + 633948663, + 472084190, + 824773370, + 252057408, + 792361445, + 226604696, + 931244504, + 976124701, + 481495523, + 942120723, + 787033215, + 385433415, + 210730749, + 610973873, + 885851342, + -1, + 612363400, + -1, + 31739032, + 115441749, + 214667701, + -1, + -1, + -1, + 291321299, + 944884172, + 724489822, + 836121639, + 939379703, + 318780799, + -1, + -1, + 180656577, + 623039584, + 632531675, + 520232318, + -1, + 121876460, + 831846335, + 451343896, + 607947466, + 602386004, + 206155913, + -1, + -1, + -1, + 926624387, + 103115189, + 758225071, + -1, + -1, + 596280832, + 918100147, + 816173298, + 557077520, + 125005063, + 370986859, + 609620703, + -1, + 677410679, + -1, + 215097760, + 154814309, + 367980138, + 923826239, + 159781635, + 87347174, + -1, + -1, + -1, + -1, + 951718486, + 290140261, + 114546652, + 710658659, + 805256318, + 512243857, + 613260873, + 29180450, + 6835688, + 534174376, + 608700151, + 105684965, + 554387350, + -1, + 58468811, + 472544344, + -1, + 23032666, + 859755877, + -1, + 847858000, + -1, + -1, + 543393001, + -1, + -1, + 777994922, + -1, + -1, + 160858328, + -1, + -1, + -1, + -1, + 501317792, + 43441581, + 531538173, + 986983231, + 321510566, + 970727350, + 535615326, + 243051356, + 71265462, + 765230386, + 829180778, + 471890552, + 452050268, + -1, + -1, + -1, + 563729235, + 706936367, + 203349783, + 927495350, + 29076942, + 849221912, + 437580885, + 416490130, + -1, + 808749973, + -1, + 300732132, + 775906679, + -1, + 560369260, + 820988610, + 839621105, + 547654305, + 246148869, + -1, + 645903392, + -1, + -1, + -1, + 55909238, + -1, + 816821439, + -1, + -1, + 479363348, + -1, + -1, + 118787241, + 701715591, + 745890511, + 291585399, + 181772768, + 356885589, + 20565355, + -1, + 982387987, + 947677275, + 917930952, + 807245209, + -1, + -1, + 942172100, + 944356579, + 990714818, + 4876439, + 61467092, + -1, + -1, + 212977798, + 488122155, + 592272659, + 385536039, + 662073555, + 23040615, + 801131494, + 903079719, + 770372907, + 73150730, + -1, + 946001060, + 547353431, + -1, + 70518828, + 138681260, + 945377820, + 607383941, + 755852699, + 681400845, + 238483124, + 705585997, + -1, + 772931672, + -1, + 312424109, + 860376054, + 413653131, + 295825263, + 263109036, + 448066775, + 972344670, + 956269294, + 367177538, + -1, + 790305660, + -1, + 14590693, + 185590443, + 420841656, + 763726197, + 538453112, + 523675243, + -1, + 62184839, + 467117705, + 160985579, + 26207837, + -1, + 816837469, + -1, + 783078140, + -1, + -1, + -1, + 817111405, + 544089074, + 421689412, + 988232027, + 455740358, + -1, + 722818354, + -1, + 290063774, + 204335387, + 922568019, + 837186979, + 201985897, + 571603177, + 519185343, + 393982135, + 460100352, + -1, + 229728167, + 619241269, + 707518821, + 882932544, + 424578818, + -1, + 686716820, + 49754280, + 165404357, + 306719156, + 368951634, + 392420355, + 480540438, + 768147423, + 669826051, + 103325774, + 609258685, + -1, + -1, + 931260814, + 244957919, + 568550469, + 701574697, + 567957555, + -1, + 130448960, + 327692021, + 301189262, + -1, + 838806374, + 824991152, + 254311590, + -1, + 514630932, + 702977445, + 979376464, + -1, + -1, + 547205041, + 883074374, + 309780505, + 612565116, + -1, + 891278436, + 235102869, + 335076411, + 980352605, + 160488652, + 648484024, + -1, + 114830120, + 154846770, + 88169588, + 545864101, + 559064945, + 726703309, + 409412915, + 204199300, + 917896570, + -1, + -1, + 819985667, + 264917480, + -1, + 532243634, + -1, + -1, + -1, + 750541064, + -1, + -1, + 2643864, + 589909395, + 221516211, + -1, + 367678554, + 914662102, + 688199285, + 609733398, + 219273255, + 803595314, + 12602852, + 367032764, + 63801611, + 726185867, + 642773994, + -1, + -1, + 292500642, + 534606419, + -1, + 466131472, + 689304428, + 461741275, + 746825224, + 806998849, + 248183958, + -1, + 68503427, + -1, + -1, + 628781987, + -1, + -1, + 520886331, + -1, + -1, + 649207424, + -1, + -1, + 457906591, + -1, + 840954187, + -1, + -1, + 378105648, + -1, + 610196126, + -1, + 551766608, + 422159546, + -1, + -1, + 329530276, + 889007568, + 586256764, + 827006832, + -1, + -1, + 727356207, + 499202428, + -1, + 542806283, + 111005104, + -1, + 737832644, + -1, + 746340541, + -1, + -1, + 716784140, + 452636114, + 779474334, + 587217141, + -1, + -1, + 231392387, + 811238685, + 753457037, + 611738242, + -1, + 221582092, + -1, + -1, + -1, + 906706043, + 275990357, + 667054997, + 522593348, + 453848056, + -1, + 288738104, + 934796802, + -1, + -1, + 562095020, + 792978138, + 35500920, + 894743548, + -1, + -1, + 163462088, + 80060446, + 950766159, + 76902249, + 919962690, + -1, + 62485834, + -1, + -1, + 18328374, + 799252993, + 171139591, + 806520025, + 511229226, + 311268141, + -1, + 25308899, + 437306656, + 31848490, + 724777889, + 143949033, + 257475505, + -1, + 43840029, + -1, + 191483056, + 472356183, + 189196466, + 338190380, + -1, + 8374487, + 800330487, + 382058353, + 641466333, + -1, + 376946494, + 952014954, + -1, + -1, + -1, + 675046336, + 973233315, + 423524564, + 868477255, + 321294939, + 88218988, + 108384818, + 631182239, + -1, + 54124969, + 214370040, + 980673895, + 726900207, + -1, + 109830741, + 776847912, + 742257898, + -1, + -1, + 940861776, + 258039049, + 357700193, + 771215649, + -1, + 343343439, + -1, + 826293621, + 584489538, + 751047347, + 633157137, + -1, + 774323207, + 883041366, + -1, + -1, + 250815313, + -1, + -1, + 661828016, + 446928331, + 625584498, + 448619265, + 422511505, + -1, + -1, + -1, + 391946412, + -1, + -1, + -1, + 916528540, + 406525706, + 738058368, + 774991791, + 517444022, + 778113408, + 969435727, + -1, + 279369039, + 135385627, + 329779635, + 836783346, + 108584148, + -1, + 561209442, + 872223168, + 596732735, + 917787523, + 719331555, + -1, + -1, + 599259450, + 538516305, + 907793321, + 217226788, + 659202323, + 660547408, + 626766592, + 421630917, + -1, + 994077282, + 690331532, + 169156993, + 206895837, + -1, + 956419324, + 993000263, + 823065140, + -1, + 225506215, + 901236162, + 662311750, + 498587476, + 544754143, + 464735638, + -1, + 371111232, + -1, + -1, + 655208703, + 705736063, + -1, + -1, + 977666354, + 839973439, + 593258226, + 945811473, + -1, + 134504930, + 1383109, + 159727204, + -1, + 354670815, + -1, + 794980429, + 768350443, + 484638955, + 783538750, + -1, + -1, + 769759582, + 658389051, + 635796093, + -1, + 750074797, + 932673741, + 586628088, + 345325218, + 866460458, + -1, + 81211362, + 213451269, + 35831449, + -1, + 429740525, + 154557810, + -1, + 274290690, + 59138397, + -1, + -1, + 827351497, + 287205775, + 535660651, + -1, + 567493559, + -1, + -1, + 641266054, + 498227049, + -1, + 262004830, + 234074943, + -1, + -1, + 930485623, + 735627137, + 893372332, + -1, + 47190514, + 564569872, + 763400635, + 931206205, + 628426054, + 537762023, + 269355885, + 982410842, + 370435527, + 333236625, + -1, + -1, + 562725198, + 380361712, + -1, + 491372640, + 503156775, + 984358382, + 381972792, + 940252599, + -1, + -1, + 327173097, + -1, + 921865243, + 308910854, + -1, + 528926809, + 127289166, + 95561145, + 268783117, + 57306572, + 715228948, + -1, + 760227568, + -1, + 92275924, + 627954932, + -1, + 487136067, + -1, + -1, + 888155958, + 494310010, + -1, + 532964137, + -1, + 927067617, + 316654434, + -1, + 855575272, + 675062970, + 352526336, + -1, + 907643991, + 448628850, + 108175162, + 645272878, + -1, + 255091542, + 534783679, + 738351629, + 81543983, + 491836557, + -1, + -1, + 128024686, + 519662053, + -1, + 274834264, + 733890545, + 319196450, + -1, + 933016444, + -1, + 987153686, + -1, + 51454822, + 67401300, + 997303481, + 153392747, + 69275992, + -1, + 524120250, + -1, + 855473677, + -1, + 274373564, + -1, + -1, + 177932790, + 565268417, + 523379060, + 900621039, + 989087196, + 348424508, + 438872469, + 209724640, + 93376561, + 578591839, + 438819876, + 382404385, + 467015391, + 818023863, + 804658816, + 509295953, + 815418469, + 799043009, + 636746934, + 865300500, + -1, + -1, + -1, + 357805041, + 393392318, + 570629479, + 595252380, + -1, + 111708235, + 892970875, + 717812009, + -1, + -1, + 615293926, + 237328332, + 653452207, + 515816567, + 388727746, + 432763776, + -1, + 117330117, + 355943270, + 986528514, + 36298365, + 64712388, + 231755730, + 380367188, + 134472686, + -1, + 904215097, + -1, + 655267274, + 383243452, + 580693640, + -1, + -1, + -1, + 159667917, + 570157842, + 438656169, + 59633328, + 527669405, + 966842097, + -1, + -1, + 675784208, + 588723205, + 45430080, + -1, + 83405929, + -1, + 507119150, + 757120667, + -1, + 62761207, + 85808331, + 846175, + -1, + 677534886, + 455080237, + 936016301, + 491803744, + -1, + 890536808, + 487006305, + 452278344, + 481751197, + -1, + -1, + 49955660, + 965353689, + 579614369, + 165090535, + 608339010, + -1, + 656498524, + 907994422, + -1, + 478306037, + 425332610, + -1, + 719250328, + -1, + -1, + 237580318, + 418711161, + -1, + 514203335, + 654810741, + 931455562, + 38882477, + 109499481, + 545252804, + -1, + -1, + 768672785, + 782191159, + 2798817, + -1, + 682282832, + 13557117, + 808707750, + 63905834, + -1, + 190425146, + 25526145, + 855085215, + -1, + 859549055, + 910804025, + -1, + -1, + 768593280, + 725537402, + 397077923, + -1, + -1, + 530911409, + -1, + -1, + 283921023, + 41332538, + 315002015, + -1, + 30996679, + 649344290, + 269871508, + 699821627, + 29779739, + 100575035, + 543434030, + 336401350, + 113626397, + -1, + -1, + 307214006, + 179929706, + 742648563, + 583229981, + 368655869, + -1, + 189663076, + 858178645, + 782792103, + 894047754, + 685439155, + -1, + -1, + 527339376, + 39392321, + 989006711, + -1, + -1, + -1, + 639612072, + 685272461, + 970151797, + 310713911, + 437935166, + 253799844, + -1, + 534831773, + 861482747, + 204192447, + 416335497, + -1, + 288794196, + -1, + 867126930, + 940703855, + 733746806, + 568241757, + 51985595, + 306231769, + 27833123, + 39092966, + 608641446, + -1, + 396827030, + 816028663, + 175933082, + 820693627, + 927723743, + -1, + 780849685, + 251857286, + 183434176, + -1, + 273299383, + 15300346, + 152244426, + 426926869, + -1, + 399753351, + -1, + 369668379, + 820033217, + -1, + -1, + 750251914, + 300686204, + -1, + -1, + 572821668, + 399432313, + 670980207, + -1, + 564175047, + -1, + 776461158, + -1, + -1, + 286752595, + -1, + 968349918, + 938998990, + 11138950, + -1, + 336558986, + 858367840, + 231772499, + 965285648, + 105481004, + 181489101, + 514079127, + 313943666, + -1, + 326925971, + 1976315, + -1, + 216570773, + 901466534, + 920230622, + 629945937, + 574848056, + 174370718, + 887791385, + 556812240, + 202819244, + 668804467, + 157021155, + -1, + 189465897, + 114104648, + 730006226, + 870256473, + 468315454, + 854699069, + 158428316, + 474791927, + 601093803, + 457698042, + -1, + 580047775, + -1, + 973429199, + 940805073, + -1, + 435872074, + 186860521, + 163411010, + 390452241, + 887707303, + 279824276, + -1, + 404648086, + 943320339, + 328767407, + 26144156, + -1, + 793926289, + 360062846, + 880265616, + 47410789, + 270417327, + 840489187, + 443546053, + 75163917, + 969295203, + -1, + 498624154, + -1, + 910238906, + 252790674, + 434259725, + 704068919, + -1, + -1, + 402226110, + 8491426, + -1, + 98712479, + 965741301, + -1, + 263613313, + 375858536, + 782714213, + 390752914, + 761619817, + 836410903, + -1, + 642862371, + 865171666, + 278088664, + 941334599, + 317998404, + -1, + 2503254, + 584251691, + -1, + 855126879, + 716484796, + 88435767, + 404740311, + 747077303, + -1, + 620644039, + -1, + 234377759, + 719955716, + 645429055, + -1, + -1, + 848549866, + -1, + -1, + 318850683, + 567747775, + 736431796, + 958510795, + -1, + 582407501, + 262320102, + 399142170, + 179827907, + 922559519, + 876660327, + 105848610, + 308011442, + 436960684, + 667902208, + -1, + -1, + 176292780, + 640733372, + -1, + 23327603, + 489395578, + 504773427, + -1, + -1, + -1, + -1, + 704548116, + 744845839, + 472494259, + 844950171, + 304016588, + -1, + 702949297, + 897938411, + 229541476, + 854212619, + 593298189, + -1, + 784088479, + -1, + 695074586, + 283319789, + 314149107, + 482267314, + 673252587, + -1, + 652388721, + -1, + 174975571, + 334210950, + 853372357, + 912732254, + 506408283, + -1, + 770375584, + 612182585, + 487330015, + 999147963, + -1, + -1, + 581811539, + 321735911, + 51778141, + 769402279, + 348355690, + 709147724, + -1, + 305809875, + 702913112, + -1, + -1, + -1, + 872330937, + 134841792, + 928891309, + 53813606, + 113985605, + 553982829, + 622487936, + 403657328, + -1, + 157212796, + 382677366, + 121201765, + -1, + -1, + 581008983, + 642663164, + 752144196, + 368046672, + 626614174, + 578847712, + 718733615, + -1, + 58532180, + 885370077, + -1, + -1, + -1, + -1, + 921162896, + 186356617, + -1, + 966191534, + 218900535, + 456564286, + 295228558, + 330047591, + 540604330, + 521312537, + -1, + 678712501, + 545018399, + 885875377, + 847957550, + 831927878, + 986037707, + 957387750, + -1, + 721461328, + 393384152, + 746154979, + -1, + 206793750, + 873604257, + -1, + 327792678, + -1, + 995636124, + 759705716, + -1, + 886544584, + -1, + -1, + 941354750, + 209419836, + 277206267, + 269667868, + -1, + -1, + 453002639, + -1, + 592588576, + 345666876, + -1, + -1, + -1, + 415760347, + -1, + 970129982, + -1, + 686077299, + -1, + 845269617, + 94770331, + 514039672, + 386394522, + 527256170, + -1, + -1, + 929439083, + -1, + 481090154, + 810745306, + -1, + 85459314, + 939789770, + 905027671, + 757900682, + -1, + 89176505, + 676531008, + 148884534, + -1, + 479916017, + 910232631, + -1, + 473226225, + 298163843, + 96937470, + -1, + 123438732, + 496612174, + -1, + 7685763, + 128928430, + 103782495, + 538838661, + 691357211, + 590667098, + -1, + -1, + 184512378, + -1, + 446417436, + 902615070, + 681122196, + 857809335, + 756135775, + 6788865, + 205347521, + 925269994, + -1, + 24942009, + 623490454, + -1, + 805245118, + 803512027, + 251449835, + 150168127, + -1, + 783266199, + 464279941, + 223497666, + -1, + 893763443, + 26713354, + 448214251, + -1, + -1, + 53168401, + 279242553, + 744649343, + 67659476, + 499545011, + 979643385, + 618814706, + -1, + 845015027, + -1, + 461168627, + -1, + 416094756, + 548828641, + 324773551, + -1, + 43140399, + 829701606, + 125702840, + 542416494, + -1, + 191863460, + 884867832, + 128522074, + -1, + 296166298, + -1, + 931128921, + 433581372, + -1, + -1, + 503084780, + 125277430, + 736948764, + -1, + 333940804, + 729334145, + 752749393, + 715942333, + -1, + 561596694, + -1, + -1, + 95325017, + 588370790, + 646008055, + 411019778, + 59363951, + -1, + -1, + 551358772, + 239858240, + 334872800, + 57769379, + 966059859, + -1, + 21859134, + 561545344, + 933256360, + -1, + 403920624, + -1, + 232794928, + 260549345, + 152583524, + -1, + 811604394, + 936445503, + 318713740, + 531165030, + 661050426, + 788906375, + 412195573, + -1, + 840148527, + 29470984, + 680325350, + 555971189, + -1, + 688796859, + 186917447, + 121973180, + 409232591, + 336966599, + 362197084, + 721368352, + -1, + 115715890, + -1, + 264816599, + 240911272, + 257973985, + 518130833, + 165871320, + 733397641, + 909092653, + 283983117, + 222197396, + 149351046, + -1, + 489248377, + 125551655, + 749850855, + 594429581, + 223225012, + 719487940, + 503248601, + 963785347, + -1, + -1, + 518902099, + -1, + 201812994, + 974766857, + 217903643, + -1, + 39635384, + 500012120, + 244523885, + -1, + 777472001, + 160526431, + 146731003, + 828212420, + -1, + 41891370, + -1, + 788012622, + 262135203, + -1, + 206553207, + 333397844, + 243470221, + 715671945, + 761123498, + 550756247, + 181874158, + 179098779, + 988794797, + -1, + 581040839, + 213126277, + 467912543, + 252440852, + 327210367, + -1, + -1, + 943537708, + 771406987, + 857249150, + 448546316, + 821598026, + -1, + -1, + 100566511, + 657743606, + -1, + -1, + 490571865, + 351419460, + -1, + 4679835, + 485644311, + 437292368, + 705654670, + 137955521, + 701128479, + 645475203, + -1, + 62109815, + -1, + 171787796, + 917051571, + -1, + 412554167, + -1, + -1, + 574322537, + 271809007, + 556301550, + 184889689, + -1, + 936555798, + 534890323, + -1, + -1, + -1, + 852347552, + 426809291, + 988887067, + 16631739, + -1, + 477205525, + 395532196, + -1, + 569013247, + 671837974, + -1, + 665139894, + -1, + 529677809, + 827090471, + 165699148, + 747689920, + 267828505, + 182059443, + 412554369, + -1, + 818490008, + 100635494, + 699665045, + 566954769, + 444198195, + 498421109, + -1, + 307408060, + 167849027, + -1, + 657235586, + 318235564, + 44187605, + -1, + 407206911, + 839236639, + -1, + 773209121, + 645591339, + -1, + -1, + -1, + 965622507, + 693233686, + -1, + -1, + 31735325, + 319376908, + 701183182, + -1, + -1, + 416313430, + 520129563, + 234158889, + -1, + -1, + -1, + 166756686, + 352471486, + 140503670, + 456709063, + 829254009, + 1664292, + 185726638, + 832687268, + -1, + -1, + 280664379, + -1, + 335064542, + -1, + 239254845, + 959249093, + -1, + 764598485, + 232643059, + 301621703, + 772458361, + -1, + 133481168, + 156340268, + 933046209, + -1, + 68578274, + -1, + 539951517, + -1, + 151339210, + -1, + 199078994, + 138478473, + 919615029, + 183827311, + 856414742, + -1, + 617563518, + 905375371, + 113111782, + 30674589, + 643890176, + 713730183, + -1, + 175422509, + 931007629, + 835445207, + 197547092, + 41855946, + 144912680, + 529760962, + -1, + -1, + -1, + 319497388, + -1, + 204953705, + 61158200, + 870118204, + -1, + 248208677, + -1, + 555999269, + 130553788, + 977266274, + 310289582, + 143312155, + 819819244, + 189629998, + 703305149, + 921608872, + 488471399, + 494054974, + 744997662, + -1, + 569365364, + 347950199, + 388045690, + -1, + 531296119, + 360561565, + 278119954, + 152942602, + -1, + 159956225, + 978722154, + 312842346, + 898614603, + 180131851, + -1, + 550311618, + -1, + 545937425, + 565288720, + 612648091, + 497971046, + 921468447, + 315594674, + 650795364, + -1, + 351060408, + 336198155, + -1, + 668248911, + 96231688, + -1, + -1, + 201155912, + 362902866, + -1, + 383061779, + -1, + 477224642, + 399816466, + -1, + -1, + -1, + 956569678, + 353346054, + -1, + -1, + 54826934, + -1, + 902219293, + -1, + 577766173, + 475303684, + 635409304, + -1, + 407363892, + -1, + 390394575, + 452380900, + 839240619, + 903364079, + 545819561, + 399220967, + 260918695, + 947076591, + 772347821, + 282143633, + 298381032, + 149817905, + 633550891, + -1, + 152120508, + 638517941, + 895163746, + 944321562, + -1, + 379015608, + 813032882, + -1, + 344324506, + 681565494, + 495621625, + 27196696, + 982432956, + -1, + 602161839, + -1, + -1, + 214493139, + -1, + 350537456, + 322941473, + -1, + 848038511, + 47690573, + 725279909, + 854960988, + 795082949, + 160708163, + 154678856, + -1, + 199711973, + 861760536, + 212488261, + 643694496, + -1, + -1, + 708629481, + -1, + 883731931, + 398969580, + 832149775, + -1, + 778385129, + 689068913, + 267209038, + 988998524, + -1, + 376621795, + 783729866, + -1, + 783510055, + 757106836, + 626821295, + 434793761, + 190818386, + 879678354, + -1, + -1, + -1, + -1, + 460735815, + 880836639, + 157162155, + -1, + -1, + 409140366, + 541621299, + 325368134, + -1, + -1, + -1, + -1, + 399133311, + -1, + 882746342, + -1, + -1, + 766302134, + -1, + -1, + 247125666, + -1, + 638648698, + 282002704, + 205199552, + 292885185, + 161486323, + -1, + 600843837, + 964728642, + 932053184, + 185890649, + 709899735, + -1, + 997065115, + 625452383, + 863445779, + -1, + 602424068, + 122184435, + -1, + 877027079, + 563329628, + -1, + 779400190, + 124735243, + 614562986, + 408353923, + 692057473, + -1, + 188669614, + 739208416, + 365185891, + 951549201, + 12661408, + -1, + -1, + 685838236, + -1, + -1, + 641605422, + -1, + 740416926, + 90742876, + 23118029, + 308217882, + 327145933, + 502877368, + 280266830, + 45500568, + 459671821, + 547318007, + 455063068, + 40688569, + 798026699, + 732253533, + 316969499, + 690836853, + 311627165, + 639683380, + -1, + -1, + 57149000, + -1, + 391802191, + 508408986, + -1, + -1, + 12893120, + 994635195, + 646755781, + -1, + 33031118, + 43986814, + 618765976, + 194215236, + 846211664, + 467868121, + 822217410, + 360147440, + 478729017, + 724395651, + -1, + 209431499, + 186706242, + 908942523, + 755485748, + -1, + 503700366, + 344498481, + 155246648, + 495998560, + -1, + 477545326, + 694217361, + 706303566, + 734411675, + 751852212, + -1, + 446559495, + 799593463, + 987439708, + 417652523, + 201617302, + -1, + 824889565, + 622566726, + -1, + 658735314, + 830329640, + 924090245, + 69930892, + -1, + 290490340, + -1, + -1, + 581435115, + 823769293, + 200731047, + 386963943, + 151469819, + 126784707, + 391603295, + 574715024, + 90829866, + 561127733, + 846895127, + -1, + 928382861, + 457111862, + -1, + 268973282, + 864820246, + 959300750, + 415744693, + 247096743, + 320154528, + 911994671, + 545820610, + 804302729, + 378604153, + 814646604, + 728304524, + -1, + 281267597, + -1, + -1, + 963154615, + 439628061, + -1, + -1, + 65478529, + 430437751, + 856721872, + 101415591, + 529493103, + 871929150, + -1, + 886851222, + -1, + 417001327, + 129470237, + -1, + -1, + -1, + 317198017, + 494719945, + 721223509, + 303382612, + 285333048, + 27624928, + 955726942, + 286312630, + -1, + 736552679, + 243492534, + 768696606, + 149962560, + 91005120, + 839682280, + 725576500, + -1, + 485565342, + 160988848, + -1, + 253576909, + 691906613, + 917120437, + 613506545, + 699058024, + 433477564, + 394136122, + -1, + -1, + -1, + 763140545, + 215426533, + 862530777, + -1, + -1, + 619078911, + 885194712, + -1, + 956051004, + 175582621, + 808531839, + -1, + 879559570, + 73090137, + 724561782, + -1, + 428025104, + -1, + -1, + 845150899, + -1, + -1, + -1, + 813575182, + -1, + 968163533, + -1, + 713499236, + 706119822, + -1, + 582760582, + 876067227, + 402540468, + 767443105, + 550771486, + 319222358, + 259626614, + 236974914, + 820480369, + 610188315, + 201856373, + -1, + -1, + 187166142, + 467771349, + -1, + 788407036, + 874077011, + -1, + 216070842, + 567729502, + 913979252, + 944471921, + -1, + 963607909, + 753361737, + 801379336, + -1, + 93709898, + 987328282, + 124065232, + 987213982, + 894799100, + 630877166, + -1, + 357362558, + 742654778, + 54368796, + -1, + -1, + 818170521, + 143319055, + 69872738, + 399244618, + 608963287, + -1, + 479029440, + 619948468, + 780709848, + 704788284, + -1, + 413144516, + 7090505, + 982355177, + 230735439, + 826106008, + 895327030, + -1, + -1, + 32981934, + 812102108, + -1, + 426922544, + 336136553, + 839268317, + 669263130, + 444089649, + -1, + -1, + 845816714, + 419426503, + 78791919, + 205507278, + 339225095, + 898364573, + 805637220, + 647802300, + 300366559, + 768057026, + 51301059, + -1, + 664212566, + -1, + -1, + 456994285, + 708059884, + 463721278, + -1, + -1, + -1, + -1, + 653258896, + 353173457, + -1, + -1, + -1, + -1, + 590799636, + 305188620, + -1, + 172027401, + -1, + 683734994, + 543359392, + -1, + -1, + 349076740, + 148269007, + 877954625, + -1, + 53659363, + 762748424, + 60724954, + 968937476, + -1, + 241372806, + -1, + 596816057, + 826277418, + 503172358, + 209237501, + 782008488, + 803958155, + 499122747, + 801331887, + 865867972, + -1, + 56603532, + 271691928, + -1, + 240837873, + -1, + -1, + 63524185, + -1, + 370789721, + 181902309, + 557152143, + 984557280, + -1, + 279947589, + -1, + -1, + 966711171, + 359063592, + 146397981, + -1, + -1, + 455423562, + 12130194, + 714411532, + 623007342, + 404534758, + 313078580, + 529141264, + 463184632, + -1, + 587687039, + 565693099, + -1, + 393016401, + 604772568, + 580875775, + 341694895, + 364895886, + 725944493, + 943054409, + 360954637, + -1, + 507667885, + 381227609, + -1, + -1, + 14800395, + 291911412, + 487963197, + 477683993, + 772601836, + 543998876, + 799668826, + 535360018, + 303671465, + 96079665, + 471460497, + 820270808, + -1, + -1, + -1, + 839750001, + -1, + 320192426, + 499042892, + 861693267, + 853183486, + -1, + 895185671, + 470972268, + 392129012, + 167370602, + 774580986, + 809997152, + 889425847, + -1, + -1, + 606907551, + 149111328, + 324049426, + -1, + 323864967, + 691123973, + 188684005, + 934966079, + -1, + 954267073, + -1, + 52767537, + -1, + 616486365, + 172856928, + 224899029, + 566650395, + -1, + 851401659, + -1, + -1, + 507690926, + 909814681, + 928815211, + 176175105, + 926738741, + 553352069, + 822327758, + 937787843, + 962065837, + 652815911, + -1, + -1, + 975532912, + 492252106, + 138868126, + 479369049, + 41971240, + -1, + 426105357, + 246386059, + -1, + -1, + 287824906, + 724305330, + 499214011, + 83624028, + 623351873, + 290791492, + -1, + 806460921, + 872866358, + 200356784, + 911943395, + 956245248, + 560593284, + 891024613, + 236301638, + 417861892, + 508347879, + -1, + 321692404, + 904495382, + -1, + -1, + -1, + 114998800, + 488043385, + 209018162, + 101733723, + 403542542, + -1, + 799294329, + 195219455, + -1, + 706786990, + 284848147, + 451259260, + -1, + -1, + -1, + 186862769, + 77197401, + 409721248, + 988393850, + 795383813, + -1, + -1, + 670507894, + 561257519, + 568424499, + -1, + 190869522, + 502630920, + 314050855, + 509486224, + 904450428, + 642715374, + 450605032, + 379246897, + 147538416, + 495209397, + 633249264, + 715604625, + 519690821, + 893720759, + -1, + -1, + 628426624, + 118875693, + 114198275, + 325235020, + -1, + 428401019, + -1, + 593750152, + 336638578, + 679936305, + -1, + 292187265, + 829066168, + 56953415, + -1, + 981232244, + 283516962, + 671739530, + 189539620, + 902492255, + 685843826, + 819696520, + -1, + -1, + -1, + -1, + 638505712, + -1, + 289972478, + 893569675, + -1, + -1, + 265511587, + 964011943, + 184204161, + 312116791, + 845974367, + 707283317, + 593528314, + 576714007, + 241154524, + 108531767, + -1, + 420837053, + 251046314, + -1, + 433752792, + -1, + 927266009, + 250524765, + 393445630, + 261812836, + 664806183, + 786621376, + 789083335, + 530371634, + 839321540, + 832032011, + 631179811, + 680133418, + 99982545, + 390433042, + 970916097, + 632230004, + 516130242, + -1, + 501577197, + -1, + 964828850, + 136739418, + -1, + -1, + 774475726, + 81586267, + 348624911, + -1, + 742580808, + -1, + 946088577, + 860932380, + 971646666, + 642577136, + 269113030, + -1, + 694690483, + 792892864, + 589859365, + 755797198, + 103766787, + 276934974, + -1, + 701575363, + 880443044, + -1, + 554611852, + 3270254, + 895799227, + -1, + 672151482, + 216230511, + 654927391, + 158576102, + 195555808, + 273318474, + 820668198, + 119294822, + -1, + 692079799, + 956684469, + 18917875, + 581922981, + -1, + 540383523, + 629368220, + 420424093, + -1, + 813830449, + -1, + 321350315, + 46113213, + -1, + 205976182, + 980566697, + 73783584, + -1, + 163228588, + -1, + 763691535, + 132007765, + 801696577, + 454563747, + 893555232, + 761299483, + 413306112, + 895693795, + -1, + 763956824, + 784160481, + -1, + -1, + -1, + 330608300, + -1, + -1, + 537458962, + -1, + 777412650, + 662222687, + -1, + 838878898, + 754175377, + 568202528, + 978507336, + 330262448, + 416796850, + -1, + 759984802, + 342653209, + -1, + 449760716, + -1, + 531634188, + 847287107 + ], + "output": 994699448 + }, + { + "input": [ + -1, + 639161915, + -1, + -1, + 743579521, + 717617076, + -1, + -1, + -1, + 924276297, + 157194645, + 20083099, + 618694006, + 413718951, + 290186181, + -1, + 651629291, + -1, + -1, + 476902543, + 451983954, + 699899459, + 982685397, + 479465884, + 548286569, + 464914514, + 905312203, + 88581276, + 232522362, + -1, + -1, + 201227575, + 118755561, + 318427412, + 334333186, + 324413920, + -1, + 289238250, + 650205688, + 936943148, + 523347510, + 439406940, + -1, + 564910764, + -1, + -1, + 9977678, + 296852333, + 808793299, + 603582094, + -1, + 62600631, + 489717645, + 807374757, + 772835555, + 809902639, + -1, + 94779959, + 507590077, + 37441761, + -1, + 745888569, + 342306484, + -1, + 323670969, + 20872586, + 43755315, + 908995939, + 940106621, + 429674018, + -1, + -1, + 870931530, + -1, + 669823615, + 44462343, + 174997666, + -1, + 519233349, + 222211360, + 368168492, + -1, + 437460181, + 328140677, + -1, + 470296878, + 794384734, + -1, + 428510371, + -1, + -1, + -1, + 994765100, + -1, + 657465590, + 167891981, + -1, + 809882510, + 514782318, + 916305713, + 594246725, + 173959418, + -1, + -1, + 829636941, + -1, + 907128950, + -1, + 824662529, + 388653927, + 22866582, + 515313024, + -1, + 763160725, + -1, + 779936153, + 819347649, + 259324544, + 89384546, + -1, + 661520434, + -1, + 299343859, + 949022937, + 34042132, + -1, + 688172096, + 640184853, + 987415905, + 376043972, + 382469432, + 364430370, + 191553994, + 751883961, + 172829321, + 830616766, + 281394971, + 719986460, + 974648005, + 987763037, + 543780379, + 447545255, + 577019720, + 411257306, + 265430288, + -1, + 937238972, + 60669829, + 135302727, + 832033357, + 225274119, + -1, + 533819004, + 152132901, + -1, + 265233922, + 639602895, + 638250145, + 490749771, + 106810562, + 551215032, + -1, + -1, + -1, + 242781672, + 605404830, + -1, + -1, + 365757696, + 263107833, + 1283452, + -1, + -1, + 797233607, + 51680198, + 421805432, + 798858318, + 748969158, + 195637488, + -1, + 938692345, + 803780604, + 36696519, + 738826618, + 619633840, + -1, + -1, + 643631686, + 797081581, + 685031134, + 244970331, + 961677682, + -1, + -1, + -1, + 531472049, + -1, + 635160870, + -1, + 600781744, + 910534005, + 310093300, + 812439941, + -1, + 570258874, + -1, + -1, + 878176918, + 890242693, + 241609188, + 670731568, + 576724959, + -1, + 72958399, + 329301577, + 972013099, + -1, + 457262019, + 364074839, + 920045532, + 984771976, + 674521312, + -1, + 821357967, + 716324011, + -1, + -1, + 849955391, + -1, + 994039222, + 366454232, + 315139844, + 132791719, + 109876260, + 253636153, + 230757703, + 712204508, + 912472617, + 617701659, + -1, + 390712320, + -1, + -1, + -1, + -1, + 928219010, + 555650764, + 210920097, + 120105627, + 830614976, + 790849391, + 36512601, + 554981262, + 187626142, + 374468721, + 176362305, + -1, + -1, + 181357367, + -1, + -1, + 478118594, + 214531411, + -1, + 764136939, + -1, + -1, + -1, + 932146905, + 660642454, + 855536411, + 402952298, + 435841554, + 403793482, + -1, + -1, + 199182353, + 459687909, + 30631366, + -1, + 875406047, + 516611026, + 391254799, + 986268324, + 989577132, + 219597464, + 461611321, + -1, + 920446891, + 742022578, + 895572088, + 290174586, + 759481233, + -1, + -1, + -1, + 361579651, + 625192595, + -1, + 606734207, + -1, + 994290145, + -1, + 626348726, + 340351052, + 124160769, + 323468751, + 614651634, + 50920302, + 2535885, + 488397620, + 814838774, + 936526498, + -1, + 307055822, + 608882869, + 322429150, + 645803512, + -1, + 956084084, + 362147528, + 574557441, + 694342191, + 57366060, + -1, + 810892257, + -1, + 928681891, + 70179313, + 238314744, + 59629056, + 595942277, + 748668466, + -1, + 933389310, + 883732620, + -1, + 484593227, + 503665657, + 167892632, + 84924074, + 493726146, + 212766968, + 488168861, + 99176582, + 417568977, + 457633673, + 783493437, + 307990515, + -1, + -1, + 986212309, + 603501564, + 251109683, + 984224463, + 534904101, + -1, + 367796553, + -1, + 811208657, + -1, + 360824701, + -1, + -1, + 436229083, + 661898616, + 461216521, + -1, + -1, + 510492474, + 388120082, + 464372075, + -1, + 215955830, + 280867311, + 464039154, + 93706169, + -1, + 958304827, + 524170812, + 821655606, + 956164888, + -1, + 781465008, + -1, + 370184529, + 355238214, + 866880918, + 605338968, + 485202663, + 472175209, + -1, + 273542116, + 275715829, + -1, + 690925895, + -1, + -1, + 930021051, + -1, + 491594834, + 143019642, + 959548973, + 849149116, + 91301795, + -1, + 144859505, + 530330121, + 358477583, + 260976533, + -1, + 732311248, + 183941193, + -1, + 740675098, + 773132665, + 289173575, + 107971516, + 250423718, + 24277973, + 302058072, + 150339706, + 276703862, + 755761735, + -1, + 390490234, + 885382020, + 130590958, + 753481727, + 97660877, + 568028246, + 122326546, + 607107333, + 153738327, + -1, + -1, + 126149066, + 197515776, + 140682649, + -1, + -1, + 472019330, + 678644069, + 805186047, + 321550651, + 265471103, + 605579855, + 316881427, + 824382449, + 869045506, + 555459534, + 246675322, + 451252215, + 902299556, + 61696273, + -1, + 920455020, + 508415432, + 587437177, + 126316056, + 612796807, + -1, + 741474426, + 494843283, + 769030572, + 209257151, + 884257498, + -1, + 779891399, + -1, + 103588790, + 61531224, + 691303713, + 31155387, + 915136943, + 392438914, + -1, + 224749780, + 121854705, + 569512271, + -1, + -1, + 88706635, + 678782315, + -1, + 913796256, + 766787371, + -1, + 675167979, + 829896359, + -1, + 743427243, + 906997449, + -1, + -1, + 776570919, + 767733152, + -1, + 608928260, + 887774817, + 517580875, + 145409095, + -1, + 879172915, + -1, + 79774477, + -1, + -1, + 533480441, + 335750717, + 388593426, + -1, + -1, + 150757642, + 53920826, + 85934378, + 353306404, + 188652434, + 947395776, + 12073929, + 517383803, + 317561777, + 350851096, + -1, + -1, + 773903344, + 673828886, + 421448277, + 47943354, + -1, + -1, + 834180149, + -1, + 560620158, + 943178914, + 896558988, + -1, + -1, + -1, + -1, + 378561013, + 259057470, + -1, + 795720018, + 225887075, + 806381176, + 438466828, + 195984506, + 32413156, + 859865930, + 315191399, + 851803005, + 913226849, + 206441255, + 502937875, + -1, + 5876241, + 260876939, + 137915862, + 678759765, + 534473704, + -1, + 474241796, + 391394975, + 550517738, + 236929882, + 712067494, + 478476808, + 255145759, + 26690838, + -1, + 530228061, + -1, + 987916905, + 217742527, + 668752451, + 466841592, + -1, + 710590983, + 153163334, + 491538705, + 34214341, + -1, + 588298197, + 194122934, + 832774158, + -1, + 563033494, + -1, + -1, + 581735915, + 405950880, + -1, + -1, + -1, + 210113772, + 695451258, + 347833855, + 417724793, + 268774063, + 561470803, + -1, + -1, + 45454703, + 822062008, + -1, + -1, + 1985072, + 524285992, + -1, + 872285462, + 989370111, + 571396403, + -1, + -1, + 427042072, + -1, + -1, + 224950735, + 845033409, + 569064903, + -1, + 320334234, + 648898254, + -1, + -1, + 250860504, + -1, + 560198607, + 248875643, + 498987026, + -1, + 385718341, + 573047741, + 304885588, + 606295223, + 488326248, + 918774896, + -1, + 335861025, + 664728516, + 368717406, + 59376158, + -1, + 224563418, + 275312353, + 376067618, + 570070963, + 321070093, + 420345622, + 548526023, + 628105551, + 420377572, + 417787432, + 41155550, + 904074494, + 692765884, + 973809180, + -1, + -1, + -1, + 384523868, + 385207094, + 564615943, + -1, + 698149706, + 525407681, + 315064352, + 203773956, + 64548019, + -1, + 464342752, + 689005337, + 410986388, + 141499088, + 428979689, + -1, + 2980051, + 470530451, + 280810939, + -1, + 731883601, + -1, + 37275507, + 394852366, + -1, + 984656097, + -1, + 155015738, + 324831180, + 358512190, + -1, + 821266155, + 980297854, + 285692041, + 793724364, + 81795919, + 971770215, + 14687630, + -1, + 394385682, + -1, + 573358184, + -1, + -1, + 220271458, + 476290768, + 547661005, + -1, + -1, + 982844824, + 977112300, + -1, + 172569521, + -1, + -1, + -1, + 242682453, + 778150863, + 71308449, + 823855475, + 274833741, + -1, + 148013663, + 158874587, + -1, + 501796637, + -1, + 652314728, + 563265528, + 848215218, + 103408452, + 322627536, + 661452417, + -1, + 752197634, + -1, + 861657732, + 447821119, + 860301041, + -1, + -1, + -1, + -1, + -1, + 288591689, + 307047078, + -1, + 591639268, + 369371333, + 511234554, + -1, + -1, + 809516582, + -1, + 970953680, + 235437495, + 762400205, + 951034617, + -1, + 898774951, + -1, + 532669749, + -1, + 933548202, + 518079991, + 868296120, + 393979152, + 566249959, + 944664464, + 874428899, + 411544634, + 800490913, + -1, + -1, + 128566742, + 469131831, + 518185854, + 681316427, + 201407869, + 80968452, + 89914017, + -1, + -1, + 677849114, + 934661684, + -1, + 603929176, + 342018715, + -1, + -1, + 694632668, + -1, + -1, + 355306398, + 834026950, + -1, + 206585406, + 588804424, + 204977788, + 428816945, + 328952895, + 397639569, + 356247984, + -1, + -1, + 654331543, + 104248772, + 759745928, + 444837117, + -1, + 647498890, + 678319277, + 405900192, + 656940664, + 849580217, + -1, + 106115799, + 722865406, + 242757618, + -1, + -1, + -1, + 649876869, + 66053631, + 901740055, + 906687159, + 125758745, + 276283427, + -1, + 729525385, + 399526261, + 984445449, + 325948703, + -1, + -1, + -1, + 906658211, + 17161138, + -1, + 680621193, + 647838672, + 848565350, + 965116489, + 502768623, + 516497928, + -1, + 74390940, + -1, + 140873721, + 686972184, + 432204419, + -1, + -1, + -1, + -1, + 687862160, + 564587294, + 295672343, + 72487749, + -1, + 134052905, + 966787328, + 789552209, + -1, + 223847112, + 232213871, + 49426089, + -1, + -1, + 522173470, + 520914661, + 252142471, + -1, + -1, + 826974574, + 335524026, + 651399790, + 652973636, + 348901897, + 604361076, + 529220740, + -1, + 644008443, + 96097532, + 206688812, + -1, + 143709328, + 179510187, + 44649207, + 492679138, + -1, + -1, + 672303681, + 634344701, + -1, + 765580795, + 843657913, + 49855828, + 479812234, + 628335666, + 971762939, + -1, + -1, + 292166738, + 903949434, + 780586365, + 799421156, + 174047412, + -1, + 760005041, + 647791892, + 352402656, + 827619444, + -1, + 847921234, + -1, + 235262084, + 245036882, + -1, + 207353238, + 748428620, + -1, + 301430990, + 488995319, + -1, + 360866731, + 165180120, + -1, + -1, + 629255709, + 975268135, + -1, + 952245992, + 800297830, + 891630105, + 868598328, + 540305137, + 172036191, + 365653443, + 2992891, + 35533825, + 292393950, + -1, + 263331371, + 634998561, + 804180703, + -1, + -1, + 11266453, + 197686651, + 493108570, + 402156697, + 564912237, + 909512405, + 842300502, + 386572189, + 526869956, + 904361033, + 299624697, + -1, + 541889677, + 167966802, + 991216975, + 576167331, + 817967454, + 585887534, + 87221196, + 832873417, + -1, + 980821219, + 934409937, + -1, + 945004298, + -1, + 676533313, + 122881048, + -1, + 468162890, + 201790960, + 276831209, + 665573039, + 769049070, + 583391115, + -1, + 711959671, + -1, + 555867407, + 952966804, + -1, + 577566649, + 742268499, + -1, + 380402918, + 974486528, + 194740740, + -1, + -1, + 145750057, + 898429154, + 262792323, + 372873765, + -1, + 566941439, + -1, + 398252915, + -1, + 757344277, + -1, + -1, + 215141809, + 573912637, + 141990484, + 668504929, + 642502730, + -1, + 561035203, + -1, + -1, + -1, + 695910904, + 708966450, + 665632704, + 218117254, + -1, + -1, + -1, + 236557368, + 678219718, + -1, + 594982299, + 729092595, + -1, + 980544492, + 651079329, + -1, + 974006861, + -1, + -1, + 918271606, + -1, + 320087991, + -1, + 583750497, + -1, + 262133731, + -1, + 636351335, + -1, + 793776818, + -1, + 971831200, + 940083631, + 308666363, + -1, + 909526578, + 727230255, + 524021211, + 317015187, + 400039011, + -1, + 867239164, + 109123824, + -1, + 356146402, + -1, + -1, + -1, + 876776615, + 685394148, + 94836010, + -1, + 55589276, + 868386839, + 521757753, + 91397621, + 35208032, + -1, + 925542598, + 316630842, + 492643545, + 538299901, + -1, + 541348927, + -1, + 727250679, + 903396312, + 870894718, + 864864545, + 640381689, + -1, + -1, + 647012414, + 702187791, + 896739617, + 683201364, + 305592010, + 390424400, + -1, + 568190260, + -1, + 837621394, + 994978495, + 905528479, + -1, + 847328795, + 368891959, + 640812454, + 570551514, + 658990395, + 198268612, + 908221033, + 213787013, + 319334876, + 732739170, + 482338024, + 899514437, + 88757072, + 838200785, + 348435045, + 80482096, + 711027461, + 897774908, + 186432675, + 462977398, + 540223742, + 262653795, + -1, + 571164338, + -1, + 996783683, + 965187433, + 146949140, + 821193882, + 307386161, + 605010970, + -1, + -1, + 963995774, + -1, + -1, + -1, + -1, + 18433192, + 106577430, + -1, + 307306456, + 781404323, + 156698393, + 705086165, + 186595279, + 74799319, + 392631914, + 596917042, + 758748242, + 419475347, + -1, + 667688563, + 597816511, + 267786274, + 849964877, + -1, + -1, + 352416556, + 703663355, + 535615958, + -1, + 996180261, + 655258268, + 361927848, + -1, + -1, + 441447797, + -1, + 536845836, + -1, + 273707011, + 840700784, + -1, + -1, + 320569738, + -1, + 10534658, + 525991977, + -1, + 173450453, + 727327573, + 91246021, + 946884525, + -1, + 877421586, + 41127185, + 223010998, + 67057043, + 519332667, + 351161143, + 859993804, + 957689795, + 616760288, + 518083536, + 814597761, + 519812547, + 826389211, + 877767177, + -1, + -1, + 863300643, + -1, + 170553140, + 61317309, + 739135503, + -1, + -1, + 152234756, + 180895402, + 276136172, + -1, + 325505966, + -1, + 435420605, + 722266558, + 739564705, + 682830552, + 892348127, + 605136853, + -1, + 843857445, + -1, + 778066887, + 571473283, + 987196657, + 973439180, + -1, + -1, + 359135765, + -1, + 151435826, + -1, + 898160854, + 610390224, + 156159529, + 252347750, + -1, + 995933805, + -1, + 838781413, + 978810797, + 325518780, + 787766868, + -1, + 803450803, + 592201847, + 488814285, + 153449638, + -1, + 258607015, + 502901263, + -1, + 658131214, + 858894225, + -1, + 18011714, + -1, + -1, + -1, + 668445996, + 523707740, + -1, + -1, + 860491174, + -1, + -1, + -1, + -1, + 63705401, + 182134890, + -1, + 507425599, + 695332820, + -1, + 216564473, + 789433175, + 168303244, + -1, + 373157598, + 496493884, + 721816485, + -1, + -1, + 673472090, + 682677810, + -1, + 70794389, + 34690917, + 350272249, + 956817982, + -1, + -1, + 292136526, + 404230236, + 323244678, + -1, + 829137057, + -1, + -1, + -1, + 521347045, + 216370216, + -1, + -1, + 699512143, + 536920559, + -1, + 82801492, + -1, + 897406411, + 770035534, + 270059951, + -1, + 851452774, + 319129142, + 165321181, + 671313999, + 67449045, + -1, + -1, + 332307213, + -1, + 311884461, + 187608429, + -1, + -1, + 63973049, + 770743347, + -1, + 260094408, + 529707708, + 746263637, + 350747590, + 790867001, + -1, + 912246102, + 470099680, + 882988247, + 245205633, + -1, + -1, + 47026491, + 969401377, + 537533543, + 735566712, + 945593200, + 717968071, + 277763970, + 236178109, + 970635105, + -1, + -1, + -1, + -1, + 166014065, + 628325606, + -1, + 375322760, + 589755999, + 582975288, + 357170219, + 937911272, + 289435201, + 202843325, + 459899738, + 292397034, + -1, + 72379365, + 145382989, + -1, + -1, + 198343759, + 782450339, + 53156478, + -1, + -1, + -1, + 125008289, + -1, + 538415838, + 714982165, + 742359479, + 387733991, + 808891251, + 863120724, + -1, + -1, + 530203049, + 239049437, + 735455508, + -1, + 904330440, + -1, + 535005176, + 40125501, + 279415550, + 991581643, + 139108137, + 907029658, + -1, + 518276544, + -1, + 634904440, + 432405820, + 362803913, + 220868654, + 441314276, + -1, + 487251003, + -1, + 641440268, + 601404788, + 782411942, + -1, + -1, + 824969628, + -1, + 194955424, + 413598658, + -1, + 933976588, + -1, + 463505228, + 48718501, + 585530873, + 261557694, + 115644349, + -1, + 578383812, + -1, + 260276192, + 596675022, + 904177429, + 636526335, + 879417804, + -1, + 888809305, + -1, + 9092815, + 519924741, + 497351798, + 37708044, + 502631485, + 292181855, + -1, + 190577219, + 294269045, + 415082843, + 541049975, + 570329663, + -1, + -1, + -1, + -1, + 811104691, + -1, + 72759866, + -1, + -1, + 724806855, + 680443740, + 398640697, + 143607811, + -1, + 928846145, + 106244848, + 687682201, + -1, + 897000749, + 409468621, + 104591561, + 585349718, + 640085378, + 277767045, + 784691, + 642071118, + 73906527, + 352430820, + -1, + 301051581, + -1, + 145710396, + -1, + 699612669, + 631993611, + 790953878, + 750043422, + -1, + 832648421, + 478051695, + 652611892, + 875240392, + -1, + 275165070, + 884997090, + 352587527, + 52878791, + 108380183, + 662115281, + -1, + -1, + 656208774, + 743179216, + 259722291, + 385958738, + 614773330, + -1, + 907728884, + -1, + -1, + 374120869, + -1, + 582141271, + 947613131, + 678130305, + -1, + 75555127, + -1, + 40875271, + 543451092, + 570677957, + 150848671, + -1, + 480978769, + 493863302, + 496535407, + 94121354, + 119529369, + -1, + 903620845, + 454020445, + 680786561, + 85768472, + -1, + 19551530, + 557801352, + 936720377, + 203625384, + 398224922, + 227054167, + 801702650, + -1, + -1, + 458506127, + 852269424, + -1, + 750398679, + 312689076, + 186720505, + -1, + -1, + 456641276, + 95229780, + 423272306, + -1, + 152626733, + 905957556, + 680824317, + 179676859, + -1, + -1, + 673811812, + 388862301, + -1, + 824714420, + 311517376, + -1, + -1, + -1, + 664736066, + 151908465, + -1, + 536295909, + 26756192, + 575468739, + 438407827, + -1, + 451069456, + 895205559, + 30358401, + 893802976, + -1, + -1, + 35156162, + 310414933, + 11917787, + 898091270, + 317324185, + 630450106, + 583362731, + 752072293, + 346117056, + -1, + 884318881, + 133432953, + -1, + 943977846, + 18965592, + -1, + 226069295, + -1, + 105020138, + 873619912, + 142720083, + -1, + -1, + 887698827, + 547155584, + -1, + 696740860, + 413284278, + 341504746, + 715134865, + -1, + 619238710, + 796144816, + -1, + 313071211, + 487664560, + 516492242, + 160986545, + 560724671, + 433914921, + -1, + 124398661, + 851139315, + -1, + -1, + -1, + 617143408, + 206054749, + 332629187, + -1, + 214449305, + 261140694, + 234529421, + 903229658, + 455332610, + 415386527, + 448061159, + -1, + 260383948, + -1, + -1, + 999998803, + -1, + 208334448, + 939448341, + 958247236, + -1, + 715005727, + 324102572, + -1, + 522706452, + 171452063, + 611222224, + -1, + 103716290, + 21224875, + 583620343, + 596061140, + 747447035, + -1, + -1, + -1, + 375411149, + -1, + 739836295, + -1, + 486601551, + 981109894, + 667330658, + 582789188, + 518779642, + 256047311, + -1, + 804657904, + 364066682, + -1, + 984385495, + 942995845, + -1, + 453833247, + 639837141, + 468788884, + -1, + 433314855, + 700770946, + 249616249, + 746553045, + -1, + 153680282, + 591747305, + 510060721, + 31546395, + 325169158, + 533740957, + 315457136, + -1, + 939166531, + 876322829, + 144508828, + 52100451, + -1, + 460710722, + -1, + 888299583, + 198161958, + 940694020, + -1, + 81538297, + 289374747, + 635088786, + -1, + 931109078, + 434026521, + 894441028, + 735504631, + 555498723, + 500155367, + 491411807, + 889566120, + 658479531, + -1, + 374360554, + 996808462, + 234338265, + 321732421, + 914135097, + -1, + 782809738, + 232316293, + 438085391, + -1, + 88550439, + 961567043, + 408154489, + 181158268, + 68660953, + 645326621, + -1, + 158909954, + -1, + 516395067, + 750189005, + 471174420, + 989759762, + 843158502, + 446316910, + 870229334, + 889644852, + -1, + 640513737, + 566755630, + 745124736, + 179493940, + 216332315, + -1, + 561315263, + -1, + 812316817, + 427565857, + 27938312, + 392792764, + -1, + -1, + 695106512, + 49272685, + -1, + 573137005, + 65267938, + 34588792, + 200532573, + 589377094, + 1954861, + 856831192, + -1, + -1, + 421989220, + -1, + 701989982, + 295879077, + -1, + 942961107, + 22340827, + -1, + 809047838, + 596591271, + 156803039, + 302843754, + -1, + -1, + -1, + -1, + 465306588, + 112930955, + 453825745, + -1, + 618474134, + -1, + -1, + 71556814, + -1, + -1, + -1, + -1, + 989554691, + -1, + -1, + 885423436, + 412317013, + 656332585, + 132450420, + 610042421, + 67531329, + 949990726, + 413772033, + 227251958, + 32509038, + -1, + 389717746, + -1, + 808132557, + 884958903, + 149641240, + 488834336, + -1, + 598319605, + -1, + 8305423, + -1, + 535858009, + 204261330, + 363173928, + 619297517, + 351240362, + 67827968, + 256623694, + 633523466, + 900933369, + -1, + 340493508, + 418039490, + -1, + 788108161, + 145433669, + 991843340, + -1, + -1, + -1, + 552026434, + 688469722, + -1, + 579606640, + 343599327, + 175596420, + 565405335, + -1, + 694828079, + 806179060, + 917562670, + 143562125, + 894086398, + 795861182, + -1, + 168880424, + -1, + 594142267, + -1, + -1, + 969198853, + 363208063, + 897025527, + 825106605, + 741900551, + 442962179, + 363320178, + 623508924, + -1, + -1, + -1, + 674029970, + 138359167, + 25315808, + 102613049, + -1, + 778689217, + 570506297, + 886370084, + 724952861, + -1, + -1, + 689850015, + 489215982, + 463108632, + 196971422, + 902923745, + 814897417, + 365882139, + 715427120, + 7984225, + 389049921, + 908110720, + 104408225, + 628097975, + 877336655, + 383658763, + -1, + 547018439, + -1, + 824408564, + 233017490, + 233380069, + 139210710, + -1, + -1, + -1, + 580775651, + 808697013, + -1, + 44329015, + 465777390, + 147472272, + 434068444, + -1, + -1, + 954977793, + 576142503, + 715868714, + -1, + 306362646, + 891327383, + 297165190, + -1, + 175734806, + -1, + -1, + -1, + 641012319, + 193983961, + -1, + 780124917, + -1, + -1, + 340302603, + -1, + -1, + 434004465, + 867869300, + -1, + 824819376, + -1, + 944484194, + 473548519, + 78166953, + 645025573, + 640045795, + 313269393, + 924687846, + 592814534, + 696509485, + 281722336, + 499082283, + 500200773, + 769738869, + 948815995, + 204619817, + 130352448, + 447262690, + 992233862, + 544130395, + 516513182, + -1, + 667361241, + 193149230, + 180828912, + 151703401, + 994308918, + -1, + -1, + 834600916, + 566467645, + 650953436, + -1, + -1, + 509809998, + 736122772, + 572215220, + 735175647, + 600062397, + 883998517, + 364556071, + 108745764, + -1, + -1, + -1, + 595186103, + 819286520, + 385024819, + 310426356, + 890576297, + 783794878, + -1, + 521055363, + -1, + 329016729, + -1, + 998144132, + 692653451, + -1, + 422332824, + 575854606, + -1, + -1, + 762407707, + 646814131, + 482367865, + 977489119, + -1, + 862803527, + 345819781, + 227988240, + -1, + 35179133, + -1, + 573778050, + 110176792, + 24318434, + -1, + -1, + -1, + -1, + 166692130, + 279359480, + 77579582, + 987539891, + 973539580, + 903408893, + 611329577, + 340990857, + 174132728, + 958691965, + 266920365, + 524231040, + 377186773, + 989565803, + 845817683, + -1, + -1, + 57458517, + 134252428, + 832080923, + 162911062, + 279781276, + -1, + 371332982, + -1, + 308809357, + 605472028, + 98405973, + 697132784, + 368259720, + -1, + 315231296, + 646631584, + 947723052, + 58766000, + -1, + 83411926, + 657695376, + 929131572, + 336020281, + 66646512, + 582350281, + 81966774, + 442967916, + 899573990, + 434071345, + 146661932, + 578102058, + 789494882, + 4185580, + -1, + 608855273, + 96483940, + 613898502, + 344552721, + 6250318, + 448149890, + 42277625, + 685889897, + 240376818, + -1, + 962988232, + 748689959, + 355617098, + 623236173, + 722166352, + -1, + -1, + -1, + -1, + 648867430, + 467052834, + -1, + 951608300, + -1, + -1, + 960254999, + 192522358, + 269709179, + 999260401, + -1, + -1, + 661889128, + 442698521, + 612247143, + 196508702, + 760351659, + 966370739, + 900497794, + -1, + -1, + 85004281, + 967888903, + -1, + 679589831, + 881934108, + 5121963, + -1, + 370886946, + 800983918, + -1, + 959831384, + -1, + 161139547, + -1, + 618306607, + -1, + 472004994, + -1, + 699500001, + 100159409, + 70852044, + 649569252, + 646294162, + 497443966, + -1, + -1, + 634363548, + -1, + -1, + -1, + -1, + 720390523, + 80115924, + -1, + 362162272, + -1, + 29518630, + 846452150, + 531042837, + 12292683, + 901149480, + -1, + -1, + 592633041, + -1, + 584147763, + 355926561, + -1, + -1, + 682273965, + -1, + -1, + -1, + -1, + -1, + 324255059, + 122597197, + 523369880, + 589873897, + -1, + 645358866, + 584231428, + 102010449, + 279619184, + -1, + -1, + -1, + -1, + 447166661, + 629544634, + 857304644, + 159586594, + -1, + -1, + 945858526, + 901039368, + 645815511, + 589728599, + 203812786, + -1, + 443112499, + 763715980, + 371022548, + 736763827, + 261917482, + 824244078, + 86587671, + 874329560, + 903801773, + 1149524, + 119975076, + 68082059, + 827833960, + -1, + 153198424, + 734282068, + -1, + -1, + 203421927, + 241275459, + 609720278, + 284387128, + 558429532, + 420642065, + -1, + -1, + 984330559, + -1, + -1, + -1, + 352401742, + -1, + 964048837, + 539412002, + 983262546, + -1, + -1, + -1, + -1, + -1, + 236867835, + -1, + 861599730, + 154753648, + 891030996, + 269912092, + -1, + 71451469, + 456730193, + -1, + -1, + 292951990, + -1, + 661736330, + -1, + 801930441, + 777527887, + 934754591, + -1, + -1, + 183816545, + 814008680, + 502083184, + 552984323, + 425997958, + 249946709, + 123688557, + 861545111, + 27009067, + -1, + 107257866, + 379251561, + -1, + -1, + 753740922, + -1, + 869216473, + 825583035, + 570813607, + -1, + 310678254, + 498756414, + 384628225, + 648999394, + 464466512, + 230124444, + -1, + -1, + -1, + 985523587, + 751855339, + 963770639, + 396343848, + 484484137, + -1, + -1, + 13217380, + 184790714, + 990010393, + 301508878, + 463156800, + 637734932, + 492971685, + 568590368, + 940793163, + 142559222, + 929411232, + 427761480, + 132124505, + -1, + 719759827, + 948943737, + 220291608, + 786378949, + 747254095, + 582252927, + 608784707, + 440431987, + 512748848, + -1, + 267254100, + 478159549, + 95720392, + 80951253, + 952620201, + 726856173, + -1, + 707743612, + 767310481, + 95055675, + 371886605, + 999082499, + -1, + 571412617, + 956575901, + 376247272, + 661834192, + 683703082, + 85693506, + -1, + -1, + 78244540, + 525885729, + -1, + 725894994, + 115004808, + 161043160, + 29553102, + 782422286, + 882380519, + 50743953, + -1, + -1, + 51506841, + 376371291, + 806372210, + 967849464, + 757095068, + 920670981, + -1, + 546480781, + 411061318, + 645877984, + 476654021, + 182634396, + -1, + 879456774, + -1, + -1, + 459003851, + -1, + 96624422, + 165161357, + -1, + -1, + -1, + -1, + 329080994, + 289398069, + 885709459, + 843514393, + 295428745, + -1, + 401739884, + 340520403, + -1, + 202210787, + 802284923, + 120775469, + 902943416, + 192047964, + 195980486, + 387632151, + -1, + 8710149, + -1, + -1, + 134449356, + 724706364, + -1, + 905810526, + 937388274, + -1, + -1, + 112906225, + 368818427, + -1, + 955653438, + 229704174, + -1, + -1, + 482058833, + -1, + -1, + 534722548, + 818596010, + -1, + -1, + 301415178, + -1, + -1, + 966493728, + 729102751, + -1, + 527073816, + 984347242, + 10531151, + -1, + -1, + -1, + 531221376, + 797178181, + 352501070, + 517516160, + -1, + 659809929, + 96859214, + 136401122, + 706526964, + -1, + 444478622, + 549732328, + 108504401, + 295236647, + 915961837, + -1, + 871466802, + 134668587, + 15283928, + 813387321, + 197311214, + 153117242, + -1, + 739295014, + -1, + 1682920, + 657445288, + 815240935, + -1, + 535703960, + -1, + -1, + -1, + 781177387, + 790339983, + 908134008, + 952675393, + -1, + 327089298, + 928269387, + 915173572, + 63385042, + -1, + 4198330, + 115211276, + 38948165, + -1, + 618403449, + 815731173, + 843363344, + 214585313, + 272520526, + 823955487, + -1, + 19639546, + 339668375, + 321157028, + 487738516, + 219043809, + 720498697, + 424632648, + 485457648, + 719612884, + 336094167, + 792894553, + -1, + 40335412, + 968725723, + -1, + 471240920, + 372933330, + 35451779, + -1, + 964783346, + -1, + 382994922, + -1, + 594946020, + -1, + -1, + 183269899, + 410196367, + -1, + -1, + -1, + 456321185, + -1, + -1, + 602972735, + 157546548, + 316062650, + 178436548, + 281368789, + 386557710, + 848273115, + -1, + 246000665, + 677151037, + 863727443, + -1, + 340812474, + 715484999, + 458643737, + 871745377, + 83358331, + 183812108, + 716106832, + 196582228, + 218769184, + 221136262, + 186139644, + -1, + -1, + 325399462, + 56648845, + 239539370, + 543765328, + 839870819, + -1, + 326803559, + -1, + -1, + -1, + 129027818, + 296914357, + 838245131, + -1, + 494608557, + 973384257, + 268940705, + 358222822, + 977368978, + 840454860, + 864257745, + 78755372, + -1, + -1, + 480339174, + 639604762, + -1, + 719552926, + 774096523, + -1, + 184094831, + 988452987, + 682604699, + 371980774, + 452213653, + -1, + 824107900, + -1, + -1, + 106139316, + 901121953, + 91246772, + 365696829, + -1, + -1, + 443003645, + 257313948, + 995259088, + 891772137, + 180829238, + 602132946, + 825332574, + 951825571, + -1, + -1, + 917620123, + -1, + -1, + 821036443, + 566694056, + 907124727, + 99625889, + -1, + 304683998, + 385875352, + 905697420, + 662324851, + -1, + -1, + -1, + 132118579, + -1, + 639978474, + 581438625, + -1, + 995349532, + 45520925, + -1, + 303526164, + 711646834, + -1, + 795610721, + -1, + 737000906, + 58366643, + -1, + 622376085, + 314383189, + -1, + 880645786, + 966310246, + 287241282, + -1, + -1, + 996673417, + -1, + 639708350, + 654009663, + 202761377, + 213557978, + 132623362, + 621871473, + 667063822, + 666995255, + 538973910, + 45208225, + -1, + 303756713, + 93621837, + 90455783, + -1, + 863074468, + 256393253, + 998695412, + -1, + -1, + 473374845, + 984812715, + 943653436, + -1, + 505718099, + 340632520, + 868982462, + -1, + -1, + 179223391, + -1, + -1, + -1, + -1, + 801355579, + -1, + 924543171, + -1, + 664139777, + 826955410, + 662895312, + 585203627, + -1, + 114633968, + -1, + 195558759, + 613350063, + 602880027, + 275128672, + 678272038, + 475185880, + 974384030, + 383669020, + 491558307, + -1, + 417628948, + 340846114, + 636337433, + 180750840, + 138711956, + 178810211, + 494794918, + 545949926, + 26135757, + -1, + 102834953, + 157488995, + 580330008, + 63314872, + -1, + 627963448, + -1, + -1, + -1, + 758281830, + -1, + 704662793, + 936744947, + -1, + 493093994, + 581569127, + -1, + 207676423, + 389489751, + 483828963, + -1, + -1, + -1, + 600046402, + 632135363, + -1, + 378778017, + -1, + 897253734, + 32918750, + 578526858, + 355863858, + 29702248, + -1, + 101462831, + 678208921, + 279093669, + -1, + 234429388, + -1, + -1, + 724808999, + -1, + 318655679, + 823227635, + 621876609, + 463914194, + 963578090, + -1, + -1, + 620444582, + -1, + -1, + 938792540, + -1, + 982239208, + -1, + 574359018, + 766222170, + -1, + 709686589, + -1, + -1, + -1, + 808229573, + 641054796, + 569218252, + 850795215, + 895776707, + 373773550, + -1, + -1, + -1, + 600296794, + 605590736, + 936398773, + 270470622, + 868230251, + 665951782, + 786167159, + 408570225, + 636264697, + -1, + -1, + 636236474, + -1, + -1, + 105392771, + 826514749, + -1, + -1, + 334385086, + -1, + 3767964, + -1, + 680513354, + 725271372, + 192029844, + 854710166, + -1, + 129337794, + 780446939, + 836165747, + 409379125, + 884085228, + 314742431, + -1, + 956020467, + -1, + 122682894, + 465406172, + 809683168, + 300218966, + 962154719, + 594809692, + -1, + 685035293, + 668775701, + 178710255, + 737889826, + 18628481, + 229874387, + 394239488, + 815610951, + -1, + -1, + 652914987, + 844369931, + 785823515, + -1, + 30503576, + 906526865, + 831068847, + 771980021, + 984445717, + 843620313, + 958997403, + 458782593, + 63262321, + 88984114, + 892446548, + -1, + 565136508, + 510496957, + 855739007, + -1, + 601792885, + 533893397, + 798133907, + 424850054, + 396694546, + -1, + 452193969, + 89301486, + 835544387, + 462721543, + -1, + 275191002, + 749344296, + -1, + -1, + -1, + 346259433, + -1, + 739654501, + -1, + 641222953, + 375559887, + -1, + -1, + 213643810, + 593287448, + 74292877, + 913358302, + -1, + 778511071, + 346479162, + 935267955, + 644974682, + 455084260, + 568967747, + -1, + 433908308, + 991420337, + 435645360, + 189697656, + 672245871, + -1, + 918738011, + 756251193, + 156857135, + 778548223, + 465756978, + 238726821, + -1, + 590001602, + 426460182, + 902329588, + -1, + -1, + 103175975, + -1, + 341640005, + 170106674, + 145977845, + -1, + 728197544, + 584259929, + 927934621, + 613204210, + 547139237, + 300653040, + 901703802, + 748617958, + 972504431, + 900662366, + 576889778, + -1, + 501318287, + 721696182, + 966353824, + 152870812, + 478712081, + 238519728, + -1, + 233726387, + 675602080, + -1, + 814607989, + -1, + 929634935, + 766530778, + 987693513, + 986372883, + 687186412, + 362130704, + -1, + 399320056, + 103414302, + 341087617, + 32797666, + 883003178, + 779514184, + 311964832, + 418141133, + 722124096, + 407302031, + 369548828, + 568508022, + 499204362, + -1, + 15706772, + 653092853, + 792621923, + 767130170, + 443422434, + 704569709, + 648158944, + 124685279, + 709175399, + 181764235, + -1, + 258916566, + 774204037, + -1, + 225638295, + -1, + 759477377, + 242945913, + 612792631, + 331168803, + 371738859, + 309412650, + 195034152, + -1, + 374083722, + 421019150, + 790461451, + 333520004, + 230721030, + 322265481, + -1, + 450936776, + -1, + -1, + 291572340, + -1, + -1, + 21413569, + 534468644, + -1, + 555035231, + 572009805, + 262413326, + -1, + -1, + 289872605, + 205391504, + 147941239, + -1, + 375802325, + -1, + 256719938, + -1, + 420956152, + 754341934, + 214889473, + 264611014, + -1, + -1, + 490701724, + -1, + 184918111, + 318531509, + 218167641, + 416622246, + 227533216, + 70979957, + 13376307, + 149935689, + 203229887, + 381187934, + -1, + -1, + 537411771, + 142705354, + 904603488, + -1, + 410760516, + 228449160, + 273898888, + 726506629, + 316137775, + -1, + 700930709, + -1, + 501000090, + -1, + -1, + 203393378, + 87044165, + 685167759, + 809574838, + -1, + 384830593, + 997824125, + -1, + 27278414, + 649745486, + 971281717, + 292588812, + 594006757, + -1, + 145342237, + 644801736, + 676550790, + 920952846, + 890730383, + 663574700, + -1, + 362540191, + -1, + -1, + 198701994, + 438672926, + -1, + -1, + 903270316, + 19865542, + 226443266, + -1, + 447223373, + 279932493, + 125742830, + 57798309, + 179700784, + 816546986, + 68899157, + -1, + -1, + 799967108, + 597603056, + 119132723, + -1, + -1, + 376913041, + 105813427, + 467242718, + 107811548, + 46859049, + 913167986, + 924903276, + 962301307, + -1, + -1, + -1, + 227494062, + -1, + 805542317, + -1, + 188358265, + -1, + 132184090, + 788027219, + -1, + 45967711, + 714422136, + 538609826, + 780827262, + 850802454, + 23362508, + -1, + 736581422, + 985361894, + -1, + -1, + -1, + 871412559, + 742591049, + 162911938, + 143679465, + 855198062, + 693162741, + -1, + 815525018, + -1, + -1, + 692534142, + -1, + 305247643, + 384065648, + -1, + 614159816, + 773910802, + 834024679, + 501681733, + 78329783, + 172789877, + 551440200, + 930218212, + -1, + -1, + -1, + 1160957, + 115573055, + 132552945, + 653129353, + -1, + 427360199, + -1, + -1, + 798848720, + 483271607, + 792240040, + 463268584, + -1, + 985814909, + 197626009, + 532353590, + -1, + 772441147, + 932432089, + -1, + -1, + 520613896, + 718991801, + -1, + 879145848, + 930824882, + 381605566, + 239513404, + 618346990, + -1, + 328105606, + 464907945, + 397603313, + -1, + -1, + 778856008, + 519519744, + -1, + 222186565, + 312991069, + 772817748, + 854935240, + -1, + 403831575, + 889956116, + 652663320, + -1, + 561276948, + 395150632, + 923906667, + 745609020, + 693696066, + -1, + -1, + 958736213, + 756300205, + 549990493, + -1, + 895991642, + 430952781, + 691205784, + -1, + -1, + 434129693, + 940802717, + 198191607, + 627639815, + -1, + -1, + 140027654, + -1, + 561560118, + 41408107, + 800100843, + -1, + 98905532, + 224042982, + -1, + 722412273, + 416352337, + 59974097, + 146366889, + 84787373, + 193389456, + 232645866, + 171755444, + 509614028, + -1, + -1, + -1, + 35323881, + 387326045, + -1, + 14479892, + 862696305, + 384336964, + 548642357, + 843122625, + 904262826, + 489028423, + -1, + 56835097, + 862480353, + 46564321, + 760005370, + 798444208, + 809283345, + 604021931, + 892005474, + 90538246, + 905718677, + 713795051, + -1, + -1, + 734269721, + 402057103, + 402772972, + 216510346, + 960196661, + 831582614, + 870279138, + -1, + 775830848, + 939801028, + 845632283, + 910055153, + 703282755, + 337706067, + 771557607, + -1, + 885321182, + -1, + 180536627, + 348154758, + 236995563, + -1, + -1, + 396712990, + -1, + -1, + 304327768, + 171801192, + 607010138, + 458274056, + -1, + 263841694, + 970483972, + -1, + 837696258, + 284978, + -1, + -1, + -1, + 400807257, + 52627558, + 5935296, + -1, + 355472595, + 887607262, + 63352391, + 284862477, + 726458499, + 41259504, + 358847518, + 209740265, + -1, + 285161641, + 426410458, + 666156570, + 126772513, + 275532065, + -1, + 434666572, + 58167072, + -1, + -1, + -1, + -1, + 800925859, + 393354010, + -1, + 717173433, + -1, + 114304089, + 780279645, + -1, + 632511456, + -1, + -1, + 471375543, + 350765523, + 598873382, + -1, + 470105319, + -1, + -1, + 195495912, + 782979020, + -1, + -1, + 913871259, + -1, + 449239578, + -1, + 911937076, + -1, + -1, + 554422963, + 591049426, + 350423771, + 631473586, + 913225190, + -1, + 723828227, + 316304950, + 172898551, + 651531115, + 167864576, + 211465332, + 579083922, + 468878194, + -1, + -1, + 487360664, + 369058798, + 110934556, + 131669553, + 276134744, + -1, + 130201804, + 980715726, + -1, + 514575156, + -1, + -1, + 611351997, + 35110852, + -1, + -1, + 452136198, + 536663983, + 617700173, + 221573428, + 50179303, + 161950423, + 474336240, + 96428395, + 934473402, + -1, + -1, + 160072865, + 216145497, + 269794287, + -1, + -1, + -1, + 561018838, + 669091760, + 521566326, + -1, + -1, + 427314016, + 834090393, + -1, + 995393591, + 626567006, + 3549016, + -1, + 47934395, + 597311334, + 920906026, + 941866242, + 643447733, + -1, + 588082040, + 801212410, + -1, + 532087009, + 449379390, + -1, + 835164864, + 614608727, + -1, + 624645018, + 223923483, + 913113376, + -1, + 833918111, + 603938122, + 482085410, + 649195828, + 850054210, + -1, + -1, + 671940893, + 462270144, + 563269270, + 734862154, + 348475718, + 910461830, + 248529164, + 999965867, + 118888478, + -1, + 105150978, + 877848214, + -1, + 686676093, + 881210985, + 108588003, + 596376206, + 686543878, + -1, + -1, + 405982452, + 616963380, + 249045905, + 934703487, + 160995334, + 844472326, + -1, + 524428114, + -1, + 986392428, + -1, + 9082363, + -1, + 654440893, + -1, + 486940303, + 427003767, + -1, + 196125940, + 694111286, + 331268406, + 452133758, + 26678569, + 846647976, + -1, + 825625963, + 568256443, + 958522913, + -1, + 39598607, + 466793458, + -1, + 799032573, + 426741690, + 818329954, + 592027526, + -1, + 381146736, + 31237743, + 70995925, + 392306104, + -1, + -1, + -1, + 415672997, + 11313029, + 123530087, + 131017573, + 264435899, + 557320917, + 548358931, + -1, + 9664882, + 587330678, + 975509764, + -1, + -1, + 825811268, + -1, + 973364046, + 528915121, + -1, + -1, + -1, + -1, + -1, + 25319584, + 152905556, + 217083252, + 384936064, + 429574508, + 538992317, + 238711875, + -1, + 680020220, + 398013302, + 924672283, + 632906802, + 363137925, + 48569381, + 606668449, + 906819735, + 781169442, + 331114357, + 752690988, + 963454250, + -1, + -1, + 65852667, + 425835203, + 409480216, + 568034425, + 308462199, + 818349175, + 389827248, + -1, + 177500395, + 135380234, + -1, + 633318815, + 631857073, + -1, + 907178128, + 949258333, + 271719695, + 306898373, + -1, + -1, + 618879642, + 35995188, + 507671692, + 73296377, + -1, + 990167761, + 923495303, + -1, + 930836588, + 777003754, + 846157883, + 946741288, + 411988072, + 570840998, + -1, + -1, + -1, + 398552387, + 267497181, + 546113296, + 371045113, + -1, + 119468828, + -1, + 627434090, + 271186969, + 817931032, + 185679157, + -1, + -1, + -1, + 681671886, + -1, + -1, + -1, + 431657326, + -1, + 609489623, + 644787435, + -1, + 187667636, + -1, + 525251202, + 849587180, + 760532784, + 285551547, + 879020555, + 158826354, + -1, + 132899676, + -1, + 99874392, + -1, + -1, + 114417892, + 329134516, + 516040093, + 540338947, + 272802914, + 74221452, + 550329424, + 693796617, + -1, + -1, + 758629432, + 559956384, + 161979355, + -1, + -1, + 49278567, + 731502476, + -1, + 90756605, + 889111978, + 822609224, + 822035766, + 416746875, + -1, + 418236616, + 210861832, + 226785676, + -1, + -1, + -1, + 508771530, + 306066529, + 705664343, + 830119590, + -1, + 533125759, + 186668065, + 85604198, + 917391494, + -1, + 449045360, + -1, + 941769021, + 535708533, + 424738299, + 457936896, + 7359078, + 74264414, + -1, + -1, + 599368368, + -1, + 463716209, + 891511400, + 820512215, + 118108408, + 218528502, + -1, + 206706641, + 390215513, + -1, + 856882621, + 346334680, + 24610636, + 3206896, + 218365404, + 68080787, + 366552567, + -1, + -1, + 222007591, + 414446545, + -1, + 252708346, + -1, + -1, + 423090896, + 39791746, + -1, + 743423639, + 450045689, + 917379740, + -1, + 339630998, + 136938493, + -1, + -1, + -1, + 913142041, + 789608332, + 776434186, + 683281176, + 320381322, + 254513003, + -1, + 398787271, + 770679966, + -1, + 561886457, + 693801694, + 366970758, + -1, + 611286688, + -1, + -1, + 348286152, + 747873257, + 453137409, + 599980683, + 359451158, + 321105468, + 642430893, + -1, + -1, + -1, + 560703495, + -1, + 929851594, + 75096370, + 894465141, + -1, + -1, + -1, + 471206280, + 713714341, + 391363815, + 163017888, + 599436268, + -1, + 618054620, + 139673290, + -1, + -1, + 53489882, + 964519149, + 193350169, + -1, + 33668313, + 569995894, + 945259017, + 573692250, + 981837967, + 721549083, + -1, + 201308686, + -1, + 143374274, + 551631336, + -1, + 459964160, + 937510980, + 163529090, + 29442497, + -1, + -1, + 600300036, + -1, + 783781580, + 92102126, + -1, + 152268275, + -1, + 527574088, + 906325190, + -1, + 703877318, + -1, + 164137427, + -1, + 186534671, + 929307019, + 220504221, + 673294145, + -1, + 308923088, + -1, + -1, + 527145480, + -1, + 772797017, + 932943068, + 322131183, + 296372742, + -1, + 196309925, + 81639166, + 257492607, + 202322278, + 200094845, + -1, + 303575621, + 803451195, + 727997163, + 497424635, + -1, + 565013044, + 311008123, + -1, + -1, + -1, + 550315016, + 803927205, + 67277779, + 256187328, + -1, + 342423832, + 431495795, + -1, + 39025873, + 208411747, + -1, + -1, + -1, + 234877481, + 786369652, + -1, + 579392868, + 117954746, + 448480679, + 232144025, + 737133122, + 408954948, + 404225788, + 971569053, + 192398424, + 515242052, + 748351757, + 290674370, + 87897154, + 53045621, + 813674912, + 626282840, + 813855854, + 868794916, + 916130993, + 748396484, + 760198237, + 104181796, + 686893523, + 389550264, + 705588163, + 473406383, + 304460523, + -1, + 717931462, + -1, + 840741558, + 982560516, + 858264425, + 726104645, + -1, + 965327627, + -1, + 84319748, + 89732002, + -1, + -1, + 896492183, + 332482358, + -1, + 202496039, + 327104141, + 664486955, + 127446489, + -1, + -1, + 138726467, + 549087060, + 834760371, + 711126847, + 84472536, + -1, + 178180003, + 549545319, + 558675806, + 785778323, + 909812419, + -1, + 532749467, + -1, + 733550866, + -1, + 800105703, + 154350141, + -1, + 602894219, + -1, + -1, + 242686181, + 255010598, + -1, + 136308373, + -1, + 518507592, + 580341144, + -1, + -1, + 316834091, + 364298085, + 965978291, + -1, + 553741469, + 617157268, + 177213900, + 174109911, + 248302313, + 939923062, + 52510698, + 654730174, + -1, + -1, + -1, + 230440852, + 301477810, + 547766169, + 164770788, + 282646369, + -1, + 197843148, + 915359258, + 668630585, + 31058626, + 783251060, + 153231615, + 612350552, + 737050082, + 867123452, + 989719612, + 557275209, + 946995767, + 732531106, + -1, + 966207200, + 199387513, + 370750570, + 852634202, + 754113253, + -1, + 446292714, + -1, + 481668120, + 675637435, + 206091453, + 382852198, + -1, + 553191960, + 490223724, + 21973314, + -1, + -1, + -1, + 794573915, + 29254457, + 610762808, + 865599140, + 367867443, + 986317160, + 582969264, + 15617112, + 277200165, + 17003774, + 266811968, + 999995929, + 565269138, + 404723790, + 88671099, + 226068182, + 153581391, + 374451361, + -1, + 66136216, + -1, + -1, + 204009601, + 315796469, + 788096346, + 833506705, + -1, + -1, + 221810251, + 572636354, + 600903524, + 361722152, + 493729433, + 984372457, + 82680257, + -1, + 577656212, + 320612865, + 505299823, + 309729471, + 250091081, + -1, + -1, + 973781785, + 927638802, + -1, + -1, + 685694235, + -1, + -1, + 337308487, + 841147738, + -1, + 119271813, + -1, + 722728504, + 281281844, + 775742764, + 285060959, + 382065985, + 909377941, + -1, + 534442397, + -1, + 564943271, + -1, + 697458207, + 618394997, + 140603630, + 896855521, + -1, + 549889992, + 476612989, + 699065546, + 484065307, + 632934971, + 92614338, + -1, + 347438275, + 473112431, + 302104397, + 345705580, + 998615449, + 450658078, + 586019054, + 537620452, + -1, + 790786239, + -1, + 287908004, + 183034481, + 169667314, + 929849895, + -1, + -1, + 335123241, + -1, + -1, + 449106287, + 503269995, + 789110446, + 46294524, + 349299893, + -1, + 223663045, + -1, + -1, + 29533966, + -1, + -1, + 668415342, + -1, + 923574909, + -1, + 374730605, + -1, + 321982222, + 368709404, + 945614082, + 285596464, + 371423262, + 434592694, + 632300676, + -1, + 678072809, + 756474782, + 859882430, + 555191464, + -1, + -1, + 610623331, + -1, + 511542593, + 677009414, + 560678612, + 679494883, + 383408614, + -1, + 628498590, + 664304327, + 905466027, + 606366151, + -1, + -1, + -1, + -1, + 847134029, + 313169316, + 921523596, + 663627664, + 170312473, + -1, + -1, + -1, + 81586749, + 158614746, + 653908344, + 806605826, + 401317195, + -1, + 35032165, + 217305305, + -1, + 589717917, + 778743227, + 116701176, + 104233782, + 431749972, + 961515196, + 84570455, + 850492995, + -1, + -1, + -1, + -1, + -1, + 876874540, + 219635757, + -1, + 197980141, + 386926862, + -1, + 841124039, + 796335711, + -1, + -1, + 924569114, + 254685591, + 442482782, + 498805848, + 213952118, + 787553181, + 965778620, + 538178252, + 402421781, + 682827443, + 275206439, + -1, + 427893415, + 905687460, + 766346970, + 396765722, + 44152054, + -1, + 330646003, + 944994732, + 98298436, + 258946194, + -1, + -1, + 259845240, + 682951982, + -1, + 352215994, + 771944233, + 620912312, + -1, + 409220047, + 297873154, + 696061270, + 849342016, + 85348128, + 863489081, + 570483420, + 530215196, + 888796870, + 498782839, + 120739651, + 189889905, + 101711312, + 208846075, + 487599444, + 311738943, + -1, + -1, + 716222759, + 280274022, + -1, + -1, + 445629052, + 406883252, + -1, + 719337841, + 525869660, + 475150760, + 871958341, + 890185989, + 353324897, + -1, + 2804091, + 224180071, + 361601933, + 493808777, + 669634668, + 769862253, + 339189820, + -1, + 459859297, + 692482000, + -1, + 252218010, + 110776087, + 912771549, + 5506743, + -1, + -1, + 251431666, + 961817365, + -1, + -1, + 248168671, + 144574851, + -1, + 492323936, + 84246247, + 952812879, + 960938140, + 942727458, + 110222507, + -1, + 470748659, + -1, + -1, + 934046621, + 49165376, + 654419364, + 70153298, + 630898278, + 706626503, + 68971708, + 190955143, + -1, + 452675326, + 83689186, + 138159356, + 820490734, + 279685408, + 773126718, + -1, + 922745875, + 360043098, + -1, + 22286671, + 899823065, + 174211657, + 612111411, + 512322430, + 899296335, + -1, + 148342858, + 990365690, + -1, + 269926294, + 784910934, + 53223891, + 217089833, + 892061217, + 133164639, + 657707709, + -1, + -1, + -1, + 229581006, + -1, + 122703614, + 150841715, + 411317910, + 321263634, + 295004799, + -1, + 156319868, + -1, + -1, + 44688544, + 482338911, + 303559635, + -1, + 471432743, + 823414353, + -1, + -1, + 866754501, + -1, + 839824749, + -1, + 748346307, + 603345372, + 706133066, + 675075252, + -1, + 91242508, + -1, + 144849491, + 562770890, + 426757015, + 911625189, + 953671506, + 514695638, + 425245614, + 234640594, + -1, + 883890931, + 181600943, + -1, + -1, + -1, + 804873128, + 868371126, + 240388020, + -1, + 434026641, + 791989850, + 943128680, + 104042269, + 197049197, + 516049975, + -1, + -1, + 726254280, + 147078858, + 981130579, + -1, + 642130999, + -1, + 143844566, + 222883373, + 189221007, + -1, + 154379952, + 293707602, + 578612841, + 351104714, + -1, + 252991242, + -1, + 388522575, + -1, + 431960841, + -1, + 647375583, + 506282973, + -1, + 859760241, + 490465072, + 398659448, + 445782079, + 246209667, + 53000224, + 224273130, + 133990278, + -1, + 300664048, + 467431759, + 357439454, + 916794619, + -1, + 842216358, + 208807063, + 205293993, + 66283045, + 97370150, + 677711355, + -1, + 949966648, + 532515094, + 280863549, + 164095703, + 82710807, + -1, + 743047557, + 7241089, + 949834175, + 927043071, + 72431008, + 158173500, + 846462910, + -1, + -1, + 122220906, + 785565410, + -1, + 380364447, + -1, + 288243286, + 698864632, + -1, + 603361583, + 171490920, + 360534575, + 53957580, + -1, + -1, + 411400482, + -1, + 703222425, + 276622556, + 544964478, + -1, + -1, + 731227965, + 767028031, + 345180971, + 142215406, + 208332102, + 295046349, + 75739075, + 774329738, + 842072880, + 133281730, + 199938193, + -1, + 254249040, + -1, + 756430840, + -1, + 216580590, + 808376542, + 782288982, + -1, + -1, + 26804709, + -1, + 725081673, + 996486348, + -1, + 889172990, + 470194286, + 695320336, + 853359301, + -1, + 949886093, + 916745753, + -1, + -1, + 434752518, + 98501816, + 4716168, + 332054092, + 523164551, + -1, + 938565841, + -1, + -1, + 524664200, + -1, + -1, + 825386672, + -1, + 732854465, + -1, + 259047425, + 273024844, + 542376447, + 800692890, + 625276281, + 437674179, + -1, + 127470196, + 579800145, + 207131736, + 874201148, + 413854485, + 693719949, + 695312394, + 257558859, + 217880426, + -1, + -1, + 438845150, + 84143484, + 305358438, + 647865670, + 379427329, + 785281881, + -1, + 824808971, + 552792461, + -1, + 948258109, + -1, + 112664856, + -1, + 324498946, + 931486861, + -1, + 296715842, + 380246764, + 567366451, + 62494098, + 709620084, + 115445365, + 351149462, + 667172847, + 182361471, + 466661116, + 357552527, + 687224956, + 251977523, + -1, + 547034672, + 687149858, + 322979048, + 149175116, + -1, + -1, + 514141368, + 702464431, + 872158329, + -1, + -1, + -1, + 227599983, + 537860296, + -1, + 954497189, + -1, + 863660264, + 546799084, + 414054742, + 350226955, + 563069489, + 151477467, + 39979398, + -1, + -1, + 505183779, + 700120222, + 109570005, + 544460463, + -1, + -1, + -1, + 156809937, + 649943997, + 765620164, + 164172171, + 700417288, + 195627896, + 641509578, + 366147491, + -1, + -1, + -1, + 655719326, + 880298455, + 850989833, + -1, + 950828189, + 403254005, + -1, + 623561649, + 91519307, + 413784426, + 92396274, + 258317703, + 467021133, + 615307266, + 231345812, + 516800711, + 405570361, + -1, + -1, + -1, + 114498852, + 886554404, + 640705511, + 805542975, + 574576251, + 316421085, + -1, + 799663583, + 897072942, + -1, + -1, + 380209872, + -1, + -1, + 126001988, + 568721108, + 79391161, + 53462296, + -1, + 956300847, + -1, + -1, + 132498926, + 647304636, + 303688509, + -1, + 347643786, + -1, + 273257903, + 632521219, + 251134738, + 126464209, + -1, + 205283681, + -1, + -1, + 545388792, + -1, + -1, + -1, + 258625913, + 867369534, + 395689825, + 463702464, + -1, + 235563987, + 298312054, + -1, + 627549227, + -1, + -1, + -1, + 980400341, + 763014539, + -1, + 159060419, + 482366140, + 413503013, + -1, + 505344371, + 734737656, + 145593677, + -1, + 194961782, + 516543607, + 227267892, + -1, + 537063108, + -1, + 886071925, + 829052623, + 330105821, + -1, + 315725404, + -1, + 395780716, + 787440103, + -1, + 300223755, + 98574585, + 899706455, + 496650590, + 78706074, + 952535115, + -1, + -1, + 911137800, + -1, + 485294427, + 145804337, + 281114661, + -1, + -1, + 111834517, + 606995738, + 88632243, + 953165976, + -1, + -1, + -1, + 356509664, + -1, + 900792905, + 458639409, + 281117991, + 24709769, + -1, + 376010125, + 468755246, + 817588614, + 420830019, + -1, + 406489563, + 184135605, + -1, + -1, + 120846254, + 883827621, + -1, + 241131056, + 268156552, + -1, + 192117197, + 168090323, + 212629068, + 243783216, + 281546610, + 868718474, + 186321236, + -1, + -1, + 368485229, + -1, + 214594664, + 578838326, + 865799108, + 334495676, + -1, + 846653766, + -1, + -1, + -1, + 599841172, + -1, + 143711879, + 261611283, + 235202897, + -1, + 897098672, + 309942092, + 729668157, + -1, + 946217008, + 986679815, + -1, + 326613026, + 469949069, + 63711543, + 629294977, + -1, + -1, + 690589960, + -1, + 727850237, + 288397507, + 432467277, + 473515887, + 419969737, + 614650819, + 89254115, + -1, + -1, + 607363317, + 112055593, + 922566502, + -1, + 323929521, + 276473190, + 756895800, + 362362529, + 702129617, + 103085552, + 27616232, + 831745957, + 183803, + 751196631, + 16037237, + 660148551, + 74152482, + 209615219, + 255589766, + 491718720, + -1, + -1, + 147911848, + 906251537, + 621178518, + 401525892, + 243429564, + 534077139, + -1, + 246228960, + -1, + 390716571, + 420039660, + 953718600, + -1, + 36876439, + 342903851, + 847299076, + -1, + 394549952, + 7521032, + 178642633, + -1, + 237408469, + 833841924, + 384028171, + 539096562, + 243464289, + 365878346, + 391273119, + 501510036, + 389583795, + -1, + 623543370, + 761477891, + 276217000, + 670532715, + -1, + 609982922, + -1, + 594124597, + 541022726, + -1, + -1, + -1, + 504975796, + 953391752, + -1, + 668944811, + 696440818, + -1, + 439461931, + 305118023, + 101429992, + -1, + 647856502, + 113964229, + 785714640, + 949362537, + 767643536, + 194216324, + 643678375, + -1, + 363658989, + 349762856, + -1, + -1, + 928509843, + 348230939, + 937636473, + 272844024, + 8081149, + -1, + 919686598, + 37136394, + 255082829, + 678512061, + 330568111, + 102321444, + 463821451, + 129726805, + 432246056, + 340505822, + -1, + 568806779, + 170841313, + 927638167, + 126589447, + 350437568, + 64266074, + 353866952, + -1, + -1, + 547670552, + 643833385, + 47661235, + 224431835, + 68708659, + 73406177, + 393109392, + -1, + -1, + 272013948, + 441365175, + 88200491, + 268440701, + 243748057, + -1, + 154574469, + 799714827, + 159287673, + 78367922, + 861689248, + 721270668, + 710342344, + 898597402, + 332027001, + 228398351, + 847947593, + 713711370, + 385796410, + 687565550, + 903471196, + 70068089, + -1, + 750043581, + -1, + 175208685, + 704058818, + 700771828, + 895306075, + 543771998, + 244937965, + 383757129, + -1, + 215827749, + 74703756, + 732515299, + 435824300, + 341172775, + 687083914, + 861996993, + 680152272, + 552029548, + 478461005, + 164128977, + 850047452, + 480979781, + 295931819, + 120358341, + 245245752, + 134016531, + 776434979, + -1, + 131263997, + -1, + -1, + 598760688, + -1, + 380385784, + -1, + -1, + -1, + 173378538, + 448832938, + 942522847, + 523693183, + 890976267, + 144392552, + 400131903, + 470771004, + 551484549, + 32006402, + -1, + 774932829, + 73173971, + -1, + 348404916, + 986054678, + 808804060, + 432799275, + 153055663, + 664592051, + 478977188, + 231929570, + 950116608, + -1, + -1, + 669557157, + 353404937, + 22789900, + -1, + 241509634, + 214221892, + 828581639, + -1, + 135884940, + 425686438, + 337828074, + 988785369, + 250393345, + -1, + 631758165, + 318647017, + -1, + -1, + 416610846, + -1, + 949269743, + 223602274, + -1, + 474316704, + 113623566, + 261679507, + 29832056, + 590983849, + 181647980, + 323296393, + -1, + 473581347, + 959076870, + 973671007, + 515551481, + -1, + 640170291, + 284270516, + 447556856, + 556912172, + 407593821, + 589484518, + 430475467, + 55473321, + -1, + -1, + 30161915, + 333166004, + 227383243, + -1, + 130375253, + 625003774, + 275682668, + 963846339, + 842167772, + 902491608, + 867567449, + 295054945, + 186547900, + 731348815, + 950627087, + 218865895, + -1, + 957278511, + 369684455, + -1, + -1, + 955494639, + 945740017, + 877216555, + -1, + -1, + 830697595, + -1, + -1, + -1, + 861233814, + 879160331, + 257559332, + 914247289, + 832488329, + -1, + 668981303, + -1, + 997044565, + 71431440, + 1504874, + 23229442, + 227496786, + 709616619, + 521590585, + -1, + 983272101, + -1, + 652457045, + 932746238, + 176317056, + -1, + 168334474, + 484768665, + -1, + 130813265, + 406153724, + 313149589, + 21469111, + 954927461, + -1, + -1, + 816828502, + -1, + 123578782, + -1, + 860064234, + 772456002, + 859030979, + 166723920, + -1, + 945787517, + 298819379, + -1, + 192924544, + -1, + -1, + 542980403, + 400474719, + 29505449, + 847564331, + 271379284, + 906974599, + 61935095, + 934543259, + 294086973, + 562321494, + 468656179, + 594805003, + 800090618, + -1, + 32329013, + -1, + 503437735, + 895104567, + 805407478, + 706908176, + 503343330, + 798037041, + 548784525, + 577919812, + 811361372, + 811372159, + 358638011, + 631247017, + 587987752, + 886219709, + 244271769, + 197504167, + -1, + 367468004, + 696261232, + 590097858, + 336483078, + 376242150, + 674705895, + 853840216, + 592987323, + 247136186, + -1, + 598352116, + 860661932, + -1, + 394337665, + -1, + 116464040, + 323204924, + 207883177, + 500521751, + 945168274, + -1, + 571148184, + 495560664, + 249808262, + 469931288, + 424557254, + -1, + 21629374, + -1, + 256335180, + 643307888, + 275514031, + 404104328, + -1, + 304001033, + 569520144, + 509675263, + -1, + -1, + 111931030, + 964169325, + 887805846, + 288981493, + 135762209, + -1, + -1, + 654535586, + 561778089, + 427752189, + -1, + 368097788, + 307866535, + 456043547, + 252080928, + -1, + 818624106, + 852626775, + 525560951, + 332962620, + -1, + 738942286, + 104816409, + -1, + 956786380, + 810272764, + 206801673, + 915446561, + 494755809, + 616582585, + 549507883, + 332781980, + 892878858, + -1, + 925975700, + 859588638, + 607103735, + 708107015, + -1, + -1, + -1, + -1, + 44841884, + 853435537, + -1, + -1, + -1, + 662524845, + -1, + -1, + 825573696, + 362354829, + 730727704, + 219984101, + 345574419, + 172473521, + 517785517, + 495966305, + 186621011, + 595005475, + 250442397, + 619743261, + -1, + 128802264, + 969688512, + 242468965, + 274532547, + 765423114, + 418209185, + 181539970, + -1, + -1, + 847973499, + 542376784, + 773932063, + -1, + 142683799, + 728219546, + -1, + -1, + 183804207, + 966480535, + 765782982, + 599435030, + 65506267, + 507779432, + 874655171, + -1, + 178163762, + 803696504, + 199456443, + 118766151, + -1, + 433973070, + 374268363, + -1, + 379239392, + -1, + 357630809, + 181840492, + 781662263, + 229984327, + 283704808, + 716470424, + -1, + -1, + 270127116, + 172409187, + 773551733, + 59187738, + -1, + 59378729, + -1, + -1, + -1, + 927212620, + 416863798, + 963042125, + 771109999, + 923530017, + -1, + -1, + 879968318, + 314877994, + 155082165, + -1, + 14428429, + 103453481, + 684947914, + 823862043, + 467191250, + 183332216, + 748396639, + -1, + 455565785, + 627004616, + 841405407, + 478147700, + 490974345, + -1, + -1, + 791266239, + -1, + 862089682, + -1, + 411582130, + 798578171, + 546135308, + 210677072, + 65698431, + 866352100, + 779501935, + 595660630, + 930118472, + 887829160, + -1, + 469099908, + 29563120, + -1, + 885592131, + 992079198, + 563240024, + 329823571, + 388005970, + 745144715, + 135828853, + 145026702, + -1, + 913763537, + 680150314, + 407795684, + 66523590, + 557987787, + 72796717, + 636423420, + 466009060, + -1, + 315559170, + -1, + 54844174, + 374831120, + 160615378, + -1, + 191262601, + 257171411, + 853796411, + 462547976, + 937450032, + 6017076, + -1, + 263815604, + 313690321, + 714735712, + -1, + 316324746, + -1, + 471575476, + 504270206, + 443606801, + 66908796, + 621656326, + 687985015, + 887051843, + 49864859, + 89859930, + 391165968, + 670005665, + 177411488, + 25049680, + 37009640, + 448360270, + 684189767, + 554186425, + 256260865, + 469040865, + 960679853, + 455268915, + -1, + -1, + 146026411, + 273612655, + 99785167, + -1, + -1, + 685261157, + 672291673, + 814702287, + 833145301, + 480647507, + 455405252, + 693910516, + 637874171, + 554653792, + 992691769, + 3650397, + 17530641, + -1, + 510363459, + 986372990, + 208118255, + 21340035, + 693489018, + -1, + 735115182, + 169365011, + -1, + 846854699, + -1, + 767577473, + 944962580, + 305273715, + -1, + 716127754, + 827932276, + 96233236, + -1, + 16942806, + -1, + 220299801, + 91951846, + -1, + -1, + 762071919, + 552827074, + 425150830, + 171829125, + -1, + 831872189, + -1, + 287380153, + -1, + 483347913, + -1, + -1, + 348421655, + 112876093, + 722403023, + 438163590, + 139883318, + -1, + 638123750, + -1, + 691198710, + 719212248, + -1, + -1, + 144811370, + 126731312, + 127963833, + 743366772, + 674169218, + -1, + 189351805, + -1, + 791476478, + 281037151, + -1, + -1, + 363752317, + 744415248, + 978760360, + 626347066, + 511357946, + -1, + 226702573, + 288155757, + 727776021, + 781779710, + -1, + 653773898, + -1, + 887184470, + 645687684, + 937317870, + 876021474, + 408264087, + -1, + 296881037, + -1, + -1, + 905651051, + 409739949, + -1, + 451281870, + 331289872, + -1, + 975786659, + -1, + 874592042, + 357800791, + 541798143, + 319245646, + -1, + 266484271, + 914112037, + 337648167, + 187769381, + -1, + 238441639, + 348276113, + 903211948, + 912872151, + 361850471, + 593885741, + 891559217, + 122779111, + 279039273, + -1, + 678575737, + -1, + 962338289, + 540590146, + 495233644, + 866765437, + 862304988, + 442040938, + 568061105, + 633782124, + -1, + -1, + 409368142, + 476225698, + 993341134, + -1, + 159026523, + 673558, + 320317321, + -1, + -1, + 242385485, + 748433108, + 47673370, + 952643352, + 305656540, + 241279248, + 686679438, + 701811565, + 368929225, + 57289646, + 647119344, + 700419079, + -1, + 434531629, + 597208613, + 138863294, + 945408659, + -1, + 78175167, + 131846661, + 885058587, + -1, + -1, + 331424435, + -1, + 77593330, + 637318463, + 479498467, + -1, + 29225165, + 234120428, + -1, + 470752241, + 776207354, + 13767193, + 194842257, + 136923033, + 832974129, + 32861995, + -1, + -1, + -1, + 51222606, + 100566068, + 56976821, + 901992255, + 95245809, + 590815241, + 301036386, + 628329757, + 414735959, + 265054437, + 202751733, + 900411078, + 621283093, + 687094814, + 8633776, + -1, + 739740537, + 856942666, + -1, + 972555847, + 719628203, + 112060252, + 501942376, + 547050069, + 689632092, + -1, + 507864684, + 928146318, + -1, + -1, + 849920733, + 941062725, + 512874838, + 142316289, + 936580217, + 817083751, + 67553910, + -1, + -1, + 879785502, + 632179364, + 669687193, + 97607371, + -1, + 397148513, + 136333606, + 807346381, + 87643839, + 265942867, + 558350556, + 218671109, + 382532690, + -1, + 185156207, + -1, + 533178979, + 389978972, + 348619630, + 947462981, + -1, + -1, + 300390058, + 417370709, + 380571023, + -1, + 28240634, + -1, + -1, + 776759590, + -1, + 284075775, + 238308806, + 167985127, + -1, + 68392284, + -1, + 628119898, + 519713041, + 671220621, + 314334272, + 410392608, + 820224918, + -1, + 386746458, + 343042708, + 67067350, + 996381138, + 146391459, + -1, + 395468399, + 638622765, + 679759814, + 577843790, + 911007535, + 661008162, + -1, + 909385094, + 873568055, + 68723598, + 696697645, + 669674225, + 872460110, + -1, + 885406451, + -1, + 884909031, + 16789913, + 725629372, + 754343315, + -1, + 673587858, + 846226445, + -1, + 614707723, + 786939074, + -1, + -1, + -1, + 287898261, + 789643339, + 848053, + 922933054, + 169540686, + 981678741, + 163025554, + 325902458, + 374955841, + 886868418, + -1, + 406197785, + -1, + 43095756, + 415994913, + 609004944, + 252498880, + 280983047, + 889860262, + 257212343, + 16789061, + 193516888, + -1, + -1, + 775134919, + 44805996, + 863830911, + 817764254, + 866571793, + 116162288, + 666240515, + -1, + 958255225, + 236287890, + 69900519, + 136816973, + 163913910, + 199668950, + 288341686, + 817153193, + 598716259, + -1, + 365255236, + -1, + 628997493, + 688587155, + 603867286, + -1, + -1, + 216012170, + 263863294, + -1, + 444381196, + 150216460, + 222092725, + 433335860, + -1, + 376295170, + -1, + 680150915, + 250696552, + 94060274, + -1, + 55627945, + 217444499, + 85516424, + -1, + -1, + 348115230, + 39722932, + -1, + 646548696, + -1, + 598345538, + 921235065, + 513230518, + 599056264, + 378225157, + -1, + 9591438, + -1, + -1, + 43679476, + 224817457, + -1, + 278590515, + 962581438, + 152544840, + 198483870, + 636725702, + 840683039, + -1, + 165711208, + -1, + 852694054, + 747925495, + -1, + 534763341, + -1, + 917150489, + 612826768, + -1, + 374879393, + -1, + 754167270, + 287755704, + -1, + 487084472, + 509210957, + 463415118, + -1, + 271260206, + 403491386, + 417466466, + 885467497, + 13405391, + -1, + -1, + -1, + 534297968, + -1, + 187822340, + 731889260, + 517178943, + -1, + -1, + 370453994, + -1, + 785643547, + -1, + 465719393, + 544498623, + 46175236, + 223988287, + 824545698, + -1, + -1, + -1, + -1, + -1, + 143072019, + 27341911, + 158440702, + 198079438, + 788687615, + 199089556, + -1, + 992774370, + -1, + 191978196, + 538047879, + -1, + 844993335, + 840897848, + 259952216, + -1, + 392550230, + 411272154, + -1, + -1, + 922308481, + 248426324, + -1, + 416932248, + 449956989, + 616619484, + -1, + 742715878, + -1, + -1, + 304847069, + -1, + 774807814, + 107257831, + 443375161, + 310993363, + 128316642, + -1, + 190367390, + -1, + -1, + 609244742, + 671124054, + 960224125, + 971953170, + 801623981, + 506499375, + 138965657, + 732482712, + -1, + 31125284, + 124575134, + 718883232, + 39586005, + -1, + -1, + 55341292, + 782128986, + 871721041, + 428194175, + 47682557, + -1, + -1, + 747930743, + -1, + 751776221, + -1, + 74363228, + 472876088, + -1, + 634122681, + 434801210, + 947856198, + -1, + 462829641, + 161575682, + 734435305, + -1, + -1, + 7579916, + 284243037, + -1, + 858996953, + 368374929, + 780365490, + -1, + 859911049, + 27759721, + -1, + 234011149, + 588632814, + 988684706, + 364798062, + 42792758, + 640003328, + 844219685, + 269542889, + 288728620, + -1, + 290347837, + 882346380, + 240414410, + 67595494, + 275032053, + 88893408, + 515310441, + 383458184, + 522807185, + 74904519, + 611015041, + -1, + -1, + 38268717, + 367435034, + -1, + 571370161, + 983274359, + 753656474, + 856786033, + 998194613, + -1, + 56229124, + 57456992, + -1, + 161211709, + 722915860, + 497781362, + 772510371, + 255981628, + 546500065, + -1, + 105152146, + 350109164, + 314913547, + 157427927, + 854142894, + 189852934, + 105887589, + 166706676, + 648964113, + 717332514, + -1, + -1, + -1, + -1, + 937036383, + 430237242, + -1, + -1, + 912167160, + -1, + 783549478, + 396731436, + 100080742, + 34176564, + 135062816, + -1, + -1, + 184208931, + 13964076, + 282020576, + 754487531, + 717755723, + -1, + 702808542, + 175917882, + 85720158, + 885733629, + -1, + 995914158, + -1, + 822752298, + 231788755, + -1, + 217035445, + 931163260, + 563265375, + 1889716, + 408160934, + 767015036, + 878004801, + 821631819, + 380663808, + -1, + -1, + -1, + -1, + 130490119, + 168281160, + -1, + 102373487, + -1, + 131944757, + -1, + 17855817, + 724260947, + -1, + -1, + 416293461, + 776856357, + 446023001, + 867713079, + 689165636, + 90556060, + 729957247, + 456522287, + 723577284, + 311456635, + 219027762, + 794150836, + -1, + -1, + -1, + 621636607, + -1, + -1, + 852976940, + 51469527, + -1, + -1, + 387844816, + 186188675, + -1, + -1, + -1, + -1, + -1, + 638551861, + 640516294, + 803664353, + -1, + 442092717, + -1, + -1, + -1, + 178636388, + 760960472, + 541058793, + 474510177, + -1, + 377424564, + -1, + 889445779, + 463401397, + -1, + 781861616, + -1, + 416964376, + 58546477, + 733352031, + -1, + -1, + -1, + 381237281, + -1, + 392157136, + 351644414, + -1, + 949439956, + 903653952, + -1, + -1, + 487765460, + 274130338, + 207349018, + -1, + 984432752, + 664500537, + 487691043, + 213326262, + -1, + -1, + -1, + 177509617, + -1, + -1, + 321107630, + 440687904, + 326023580, + -1, + -1, + -1, + -1, + 119630641, + 696176015, + 371366069, + 153675653, + 327435488, + 20253492, + 681419664, + -1, + 154726326, + -1, + -1, + 290816762, + 612336989, + 669189975, + -1, + 724449157, + -1, + 775743289, + 402974273, + 277131944, + 162789300, + 474174464, + -1, + 762928556, + 947983282, + 520491841, + 440704891, + 373657874, + 258429883, + -1, + -1, + 394096785, + 383989313, + 602255519, + 194156667, + -1, + -1, + 65915568, + 698859788, + 562192702, + -1, + 661129127, + -1, + -1, + 491432216, + -1, + 569747724, + -1, + 179966258, + 268851004, + -1, + 16049577, + 129716987, + 610962057, + -1, + 290042535, + 191495429, + 412293856, + -1, + 102815672, + 917933343, + 950002742, + -1, + 146815705, + 670508408, + -1, + 796596186, + -1, + 12844097, + -1, + -1, + -1, + 724528152, + -1, + 748261040, + -1, + 752070668, + 171039651, + 164161134, + 769506588, + 927858314, + -1, + -1, + 997168113, + -1, + 772581484, + 986506135, + 957083073, + -1, + -1, + -1, + -1, + 927159712, + 460197479, + 566410683, + 219376265, + 566966368, + 691857816, + 822014781, + 494716461, + -1, + 809495763, + 928683397, + 147732481, + 896835032, + 746873324, + 938704241, + 216748421, + 488207737, + 80750577, + 803099608, + 695288615, + 815674478, + 789078165, + 844937770, + -1, + 48150735, + 898232153, + 333267524, + -1, + 625095404, + 190884361, + 304944042, + 875403240, + 273701064, + 403530415, + -1, + 705523324, + 731381794, + -1, + 303551615, + 407356085, + 944910928, + 469789239, + -1, + 194958785, + 234123166, + -1, + 200151822, + 10673599, + 996244576, + 709914132, + 270141254, + 744477234, + 494336644, + -1, + 44774326, + -1, + 780067293, + 216905889, + -1, + -1, + 15149657, + 622790163, + 33119513, + 6138455, + -1, + 587470642, + 527233776, + 876896892, + 460435192, + -1, + 511625761, + 808871940, + 417020053, + -1, + 141585912, + 391827844, + 766771059, + 254173127, + 565795355, + -1, + 901105072, + 105734286, + 818349777, + -1, + 290087580, + 650766654, + 717916293, + 356399714, + -1, + 11382820, + 894206233, + 150960328, + 794823414, + -1, + 944604965, + -1, + -1, + -1, + 669979450, + -1, + -1, + 951434564, + -1, + -1, + 262440611, + 367275887, + 803885891, + 651935020, + 160653951, + -1, + 789612420, + 890307575, + 523557217, + -1, + 600651085, + -1, + 411634778, + -1, + 647507217, + 884930917, + 682796905, + 444726197, + 157653133, + 156725318, + 837573346, + 870685994, + 450604363, + 532004088, + 529022463, + 242435268, + 740043639, + 515022823, + -1, + 955860749, + 70935737, + 539331852, + 155729861, + 349698231, + 733874319, + -1, + 954347965, + -1, + 183125372, + 846140739, + 267872445, + -1, + 107226081, + -1, + -1, + 646092630, + 735845040, + -1, + -1, + 731100464, + 951712244, + 148416321, + 227866761, + 444460069, + 256993530, + 539320159, + 903113869, + 277008189, + -1, + 33176755, + 134503751, + 941285504, + 261550542, + 562355753, + 164975842, + 579874149, + 813839649, + 230101051, + 84374289, + 250859474, + 355784412, + -1, + 508562746, + 203019696, + -1, + -1, + 899710536, + 565087930, + -1, + -1, + 618622139, + -1, + 55262421, + 956768083, + 328966820, + 815403767, + 56303094, + 154607346, + 336015551, + -1, + 336303333, + 50606220, + 853239890, + 425240854, + 27633323, + -1, + 984097443, + -1, + 786961299, + -1, + 395810208, + 511151257, + -1, + -1, + -1, + 842862815, + -1, + -1, + 396203715, + -1, + 382093886, + -1, + -1, + 405349959, + 427627086, + 140533039, + 93515971, + 868605572, + -1, + 500336822, + -1, + 33725647, + -1, + 975339368, + -1, + 127040595, + 54655975, + 906680246, + -1, + -1, + 142088261, + 304706139, + 637444872, + -1, + 426519642, + 550982189, + 87567495, + -1, + 873264064, + 108309587, + -1, + 385677389, + -1, + -1, + -1, + 728665934, + 522009562, + 41215665, + 590085048, + -1, + 83472664, + 132237751, + 888212085, + -1, + 883333010, + 818425703, + 958618378, + 247672232, + -1, + -1, + 748497266, + 451497961, + -1, + 538200226, + -1, + 58728412, + 867830924, + 906736380, + -1, + 64439459, + -1, + 180414067, + 707324003, + 291391162, + 67962540, + -1, + 505091987, + 725309760, + 755226180, + 597824317, + 109621541, + 111282971, + 932302315, + 596030428, + -1, + -1, + 640487767, + 251011047, + 273899921, + -1, + 376255924, + 42356693, + 687823492, + 935170628, + 800882976, + -1, + 25975320, + 726774405, + 157857861, + 646198297, + 919211208, + 412516085, + 487154706, + -1, + -1, + 736721421, + -1, + -1, + 42938628, + 337425869, + 888842992, + 163600190, + -1, + 773677225, + 193515843, + 336738930, + 445710050, + 865317510, + -1, + 632709204, + -1, + 19701216, + -1, + 267735831, + 744118318, + -1, + 393730484, + 382000982, + 573856278, + 396442029, + 893553821, + 865274792, + 76486207, + 802148868, + 999755914, + 519289, + -1, + 838853677, + 266822703, + 751230125, + -1, + -1, + 933089043, + 188508718, + 773645666, + -1, + 566353096, + 464992381, + 953528829, + 932058230, + 315045302, + -1, + 395361179, + 521995363, + -1, + 479413901, + 285100607, + 199244402, + 446866138, + 480928523, + 848843874, + 791619424, + 692524879, + -1, + 214267897, + -1, + -1, + 281269338, + 416874548, + 71493097, + 437970838, + 470924696, + 352640942, + 934379345, + 226465974, + -1, + 420286966, + 112361305, + 475885160, + 174372979, + 25065776, + 919226997, + 348494734, + 408222359, + 778491917, + -1, + 934649115, + 965756395, + 60759883, + 172179458, + 786154855, + 229337395, + 190099152, + 390731054, + 833579429, + 995952058, + -1, + 4392845, + 966900940, + 388095372, + 542513805, + -1, + 762859165, + 428780189, + 976800094, + -1, + 363745764, + 477985487, + -1, + 755873442, + -1, + 180534544, + 959502985, + -1, + 636730420, + 399833198, + 392894035, + 631279135, + 210155774, + 718832307, + 570397637, + 317724563, + 893849842, + 816766615, + -1, + 581907193, + 981259487, + 481382516, + -1, + 947011007, + 655585226, + 223093291, + 517926847, + 766572452, + 725324231, + 480156832, + 289163901, + 150608898, + -1, + 863651279, + 249931629, + 706288618, + 292917181, + -1, + 419615414, + 581894534, + 464067413, + 388759614, + -1, + 174339803, + 385761479, + -1, + -1, + -1, + -1, + 898335874, + -1, + -1, + 414315136, + 380172777, + 913824407, + 590612072, + -1, + 544811847, + 780100449, + 482756175, + -1, + -1, + -1, + 867906075, + -1, + 721391883, + 881518575, + 440452692, + 509107625, + 368782049, + 730209183, + 607128330, + 351800900, + 172039643, + 579657703, + 802022547, + 283972282, + -1, + -1, + 664021886, + 81209513, + -1, + 175666243, + -1, + -1, + -1, + 927909154, + 602470698, + 332463297, + 876491441, + 272293813, + -1, + 600675363, + 414060769, + 323904651, + 26255485, + 163486156, + 424369678, + 396101321, + 835057246, + -1, + 817405192, + 266605079, + -1, + 204691401, + 446667345, + 273252184, + 867018789, + 230020009, + 785717611, + 353362986, + 164333163, + 72978074, + -1, + -1, + 682793106, + -1, + 990278410, + 907164997, + 49184535, + 699061450, + 63179838, + -1, + 852524779, + 873871512, + 117928172, + -1, + -1, + 722064691, + -1, + 626378275, + 604874172, + 281921601, + 463834469, + 513169421, + 839017959, + 247490975, + 846313253, + 919379718, + -1, + 464486866, + -1, + 847099029, + 937322903, + 115388290, + 819411236, + 31239750, + 2489706, + -1, + 932879154, + 147183522, + 332052634, + 100793456, + 94013130, + -1, + 720043002, + 544205778, + 495269127, + 856608543, + 8344056, + 371105920, + -1, + 22087056, + 661879256, + -1, + 176957818, + 701105117, + -1, + -1, + 473683014, + 58177460, + 416031065, + -1, + 702202479, + 807365186, + 218177087, + 590244125, + 186715318, + -1, + 903175952, + 465806433, + 567175302, + 24826583, + -1, + 802987105, + -1, + 869846385, + 397151190, + 30225452, + 318797468, + -1, + -1, + 943237458, + 344026153, + -1, + 327301708, + 862234247, + -1, + 174568451, + 121673099, + 577699141, + -1, + 136145609, + -1, + 734456022, + 199905929, + 422432024, + 271680722, + 161935423, + 6400494, + 447535691, + -1, + 35341105, + 589929938, + -1, + -1, + 70114816, + 385042582, + 972555584, + 391756575, + -1, + 732734384, + 702668677, + -1, + 130480552, + -1, + 365166760, + -1, + 593318068, + -1, + 749366731, + -1, + 741555450, + -1, + 838317309, + 54731700, + -1, + 666631791, + 310127132, + 345806987, + 292224819, + 229520927, + 798258209, + 183968118, + 62768815, + 519244786, + 21943668, + 525186516, + -1, + 149443513, + 558630765, + 537032510, + 239715385, + 513867086, + 733791666, + 900223923, + -1, + 204663517, + -1, + 142021926, + 483315785, + 662131082, + 44572154, + 165783282, + -1, + -1, + -1, + -1, + 526631155, + 802592772, + 368245125, + 537766311, + 102274278, + 824583014, + -1, + 863829868, + 786835772, + 113662136, + 331536612, + 694757996, + 512580561, + 938049755, + 255327007, + 748081398, + 907781022, + 225077599, + -1, + -1, + 815636810, + 727611355, + 819452832, + -1, + -1, + -1, + 2358805, + 474022647, + 87012064, + 236253767, + 726090922, + -1, + 331139149, + 195926537, + 637388531, + 817774260, + -1, + -1, + 772181672, + -1, + -1, + 437119549, + 458670516, + 331386927, + 300830766, + 594309940, + 128546988, + 853420903, + -1, + 523831917, + -1, + -1, + 939463797, + 894455512, + -1, + -1, + 278986060, + -1, + 544845060, + 380048488, + 791050638, + 385629758, + 169577945, + 489406435, + -1, + -1, + 943689966, + 795329640, + 972222085, + 431944743, + -1, + 334423735, + 601504414, + 629825253, + -1, + -1, + 164111219, + 648740408, + 574992334, + 318525925, + 359857062, + -1, + 581686937, + -1, + 677260127, + 15226151, + -1, + -1, + 130604275, + 366437590, + 849880950, + 145525512, + 590221743, + 577937595, + -1, + 713899738, + 937022920, + 537482753, + -1, + 703314382, + 717627015, + 580258954, + -1, + 502009051, + -1, + 618465527, + 880520201, + 244697171, + 371098975, + -1, + 338209035, + 807501335, + 122657766, + 444312743, + 448398711, + -1, + -1, + -1, + 925612408, + 765601532, + 851276294, + 23389959, + -1, + -1, + -1, + 869327273, + 633054806, + -1, + 131369757, + -1, + -1, + 543526238, + 743250023, + -1, + -1, + -1, + -1, + 494983103, + 298252493, + -1, + 623662189, + 391477882, + 769616209, + 395845825, + 932371877, + -1, + -1, + 724784442, + 530213278, + 192758094, + 786101919, + 40279106, + 16763764, + 690058997, + 656558566, + 297471644, + 965453244, + 413974349, + -1, + -1, + 667784804, + 868438975, + 386821574, + 547182278, + 128898071, + 939390155, + 179384072, + 848372363, + 973524380, + 362631974, + 139853305, + 531394657, + -1, + -1, + 194639704, + 796756860, + -1, + 338914451, + 38537701, + 503759184, + 134968206, + 193800925, + -1, + -1, + 541115377, + -1, + 261999960, + -1, + 788064218, + 118195360, + 593400587, + 21142797, + 344436004, + 269323401, + 915738658, + -1, + 963868904, + 540498873, + -1, + 221991790, + -1, + 829261353, + -1, + -1, + -1, + -1, + 937720064, + 387539118, + 445661573, + 203919449, + 21289882, + -1, + -1, + 794881844, + -1, + 35302795, + 335335544, + 10766173, + 254300642, + -1, + -1, + 383819360, + -1, + 730419928, + 808650284, + 651460528, + 17323314, + 964568067, + 676361505, + 985178160, + 166140176, + 364567879, + 728021466, + 404902837, + -1, + -1, + 843960879, + 14724299, + 185696354, + 819463868, + -1, + -1, + 639262111, + 75846176, + 115082903, + 886905489, + -1, + 564684765, + 90482029, + -1, + 282264314, + -1, + 258812593, + -1, + 520859393, + 366429542, + -1, + -1, + -1, + 735838058, + 100871250, + -1, + 597496059, + -1, + 258804218, + 688396306, + 572414287, + 48382151, + -1, + -1, + -1, + -1, + 330491205, + -1, + 542300278, + 966117020, + -1, + -1, + 61186715, + -1, + 141191235, + 780583946, + 641875830, + -1, + 791018611, + 197041602, + -1, + 228059885, + 740231053, + 18915776, + -1, + 123289307, + 282832794, + -1, + -1, + 615282343, + -1, + 207705886, + -1, + 400669726, + -1, + -1, + -1, + -1, + -1, + 984880033, + -1, + 491548854, + 41199892, + 231517378, + 858368976, + 641294510, + 328990689, + 964183101, + 613403673, + 494298467, + -1, + -1, + 578908282, + 504927836, + 857962973, + -1, + 230820842, + 950411001, + -1, + -1, + 244941847, + -1, + 118117737, + -1, + -1, + 765752878, + -1, + -1, + -1, + 218067596, + 322290425, + -1, + 622508589, + 760835998, + 758607960, + 137738647, + 633437622, + 735367328, + -1, + -1, + 994844654, + 588095542, + 847164111, + -1, + 585979263, + 225111005, + 753738955, + -1, + 420719194, + 203859193, + -1, + 753778482, + 675717033, + 21979966, + -1, + 876397057, + 420475854, + 507407601, + 254848082, + -1, + 914286027, + 122877779, + 498951927, + 521035338, + 977369306, + 36287999, + -1, + 425644239, + 99713991, + -1, + -1, + -1, + 724575246, + 740576417, + 10309127, + -1, + 351136806, + 560609372, + 822617789, + -1, + 447416481, + -1, + 80483390, + 792548716, + 562851208, + 565651410, + 686543144, + -1, + 631978885, + 691931754, + -1, + -1, + -1, + -1, + 845329256, + -1, + 132481783, + 214440469, + 106727141, + -1, + 841386671, + 989847382, + 438240265, + 151075366, + 776283234, + -1, + -1, + -1, + -1, + -1, + 887310490, + -1, + 375957850, + 794653413, + 765266378, + -1, + 426353824, + 141131685, + 670613705, + 771663241, + 570116937, + -1, + 111070009, + 486846319, + -1, + -1, + 949070295, + 954114277, + 228590259, + 109895439, + 639852753, + 226449456, + -1, + -1, + 255159920, + 952766493, + 129779995, + 778427084, + -1, + -1, + 294836550, + -1, + 960027123, + 968957470, + 813041535, + 344104214, + -1, + 976493437, + 780943216, + -1, + 982244480, + 478157969, + 391280296, + 228895336, + 310043450, + -1, + -1, + -1, + 316468153, + 248474770, + -1, + -1, + 323535607, + 111017962, + 493535653, + 61074537, + -1, + 906634074, + -1, + 187432815, + -1, + -1, + -1, + 518168387, + -1, + 224083477, + 657518275, + 385128319, + 820520963, + 750186532, + 981415586, + -1, + -1, + 176112782, + 811882953, + -1, + 686289633, + 189105954, + 681002562, + 664540050, + 396162866, + 557009760, + 901919281, + 625319410, + -1, + 163973325, + 526495420, + 564055948, + -1, + -1, + 593051810, + 936450987, + 3464959, + -1, + 765908369, + 628287825, + 451626025, + 340026668, + -1, + -1, + 492237107, + 633231221, + 394130034, + 869798510, + 946347748, + -1, + -1, + 444120734, + 58872989, + 862081469, + 365675512, + 618583993, + 406128237, + 598412211, + 88201499, + 73423883, + -1, + 695447690, + -1, + 110420978, + -1, + 70950057, + -1, + 782311155, + -1, + 346164754, + 213272111, + 217004747, + 507362502, + -1, + 822875028, + -1, + -1, + 216343817, + -1, + -1, + 120564244, + -1, + -1, + 373546096, + 632246040, + 245383968, + 369922881, + -1, + 549392871, + -1, + 70426066, + -1, + 157773966, + -1, + -1, + 444898874, + 676490723, + 706923389, + 24505250, + -1, + 796895946, + 284697862, + 855487015, + 947801297, + 330846511, + 988130561, + 554466081, + -1, + -1, + 892249757, + 647182424, + 314779380, + 482493663, + 850654719, + -1, + -1, + -1, + 639307857, + 677291578, + 203277301, + -1, + 83688721, + -1, + -1, + -1, + 985508477, + -1, + 610817198, + 384511745, + -1, + 83038596, + 874771613, + 374423097, + 9754025, + -1, + 983810393, + 209100871, + 68287601, + -1, + 381648655, + -1, + 7408188, + 997680234, + 764204020, + 448188349, + 987510672, + 51125079, + -1, + 351189572, + 993132583, + 525720689, + 368924242, + 404676066, + 859898619, + 295617265, + -1, + 472575856, + 155052874, + 712900738, + 873368518, + 318639667, + 551726027, + 606024380, + 316799893, + -1, + 621459271, + 896592271, + 699773408, + 244775117, + -1, + -1, + 667873866, + -1, + 256073504, + 926450794, + 494612181, + 487995904, + 79140393, + 903152193, + -1, + 894572983, + -1, + 709728635, + 815938895, + 594428396, + 179315229, + 76725249, + 482625333, + 258137209, + -1, + 864491931, + 997215104, + 899339881, + 869785796, + 682644576, + 932899618, + -1, + 662394684, + -1, + 898193142, + 248425374, + 769970121, + -1, + 771846999, + 365348733, + 613246425, + 735374799, + 795660267, + -1, + 661754551, + 742176783, + -1, + 585356372, + 978819622, + 81309286, + 450121479, + -1, + -1, + 561188315, + 303634930, + -1, + 162461626, + 957682973, + 149636989, + 652477663, + 47567838, + 371440323, + 827096421, + 294021794, + 141261451, + -1, + 181417953, + -1, + 281902913, + 618727963, + 657947654, + -1, + -1, + 303995079, + 268601782, + 737772474, + 163944018, + 201364113, + 162212783, + 736013583, + 91442947, + 490121390, + 588987599, + 747178505, + 252668518, + 972390503, + 408881087, + -1, + 708012672, + 101851673, + 970548277, + 148673461, + 719361156, + 766986309, + 634016239, + -1, + 347130142, + 958169832, + -1, + 270221568, + 689529858, + 947562262, + 42940482, + -1, + 635971719, + 867768052, + -1, + 316496543, + 500987453, + 946108848, + -1, + 670991199, + -1, + 301120337, + 286128081, + -1, + 82026070, + -1, + -1, + 805992865, + 394968184, + 181868527, + 27382073, + 756148263, + 810102402, + 73253021, + -1, + 508753701, + 348236532, + 365092959, + 967294498, + -1, + -1, + 118069550, + 85249543, + -1, + -1, + -1, + -1, + 714182267, + 24439795, + -1, + 766017207, + -1, + 535969952, + -1, + 302391737, + -1, + 70817872, + -1, + 998784058, + 449976013, + 645340879, + -1, + 814990448, + -1, + 48568094, + 544104446, + 765747942, + 927679074, + 680762642, + 884685250, + -1, + -1, + 897489614, + 396404126, + -1, + 65662685, + 966330330, + -1, + 179419635, + 104262080, + 730112542, + 300145992, + 814393211, + -1, + -1, + 262130719, + 983737636, + 594523941, + 416732077, + 563719882, + 955512365, + 431335619, + 907216290, + -1, + -1, + 770531952, + 797359529, + 517916839, + 383482661, + -1, + -1, + -1, + 485379585, + 746877779, + 386988385, + 55654058, + 224815114, + 386291184, + 691230610, + 710967056, + 686477515, + -1, + 593958526, + 645950238, + -1, + 220467912, + 777679519, + 815928527, + -1, + 385088978, + 685319217, + 438659452, + 948297472, + 609452879, + 684033469, + 52233313, + -1, + 347220326, + -1, + -1, + 8756256, + 792161468, + 441413635, + -1, + 731170233, + 657804855, + 114621573, + 22177124, + 772637644, + 509128520, + 894106189, + 945588070, + 694630868, + -1, + -1, + 44875670, + 392902173, + 628533305, + -1, + 429086937, + 906703348, + 684989668, + -1, + 938488234, + 280055395, + -1, + 611787022, + 946529584, + -1, + 265327648, + -1, + 553082146, + 192630301, + 950501571, + 260610706, + 865281177, + 551640051, + 558260645, + -1, + 983356381, + 543631758, + 882005584, + 75483341, + 670672684, + 587914048, + 725467613, + 635279497, + 800022703, + 601030914, + -1, + -1, + 384087872, + 84259446, + -1, + 412843907, + 597274869, + 812591227, + 474106615, + 734128469, + 110014106, + 580657634, + -1, + 250796804, + 228387275, + 218739237, + 677049190, + -1, + -1, + 971309170, + -1, + 941658184, + 874745843, + 948442338, + -1, + -1, + 643196769, + 825767997, + -1, + 725063439, + 833943645, + -1, + 594099390, + 944933599, + 277128135, + -1, + 312748847, + -1, + 850695019, + 308487918, + 529054533, + 815650696, + 274034982, + -1, + 69794745, + 597218630, + 943974096, + 654575023, + -1, + 930110170, + 899070320, + 882272410, + 546484602, + 74719915, + -1, + 860173939, + 371055120, + 284886922, + 949181932, + 726155452, + 391362229, + -1, + 194204804, + 131091817, + 232596729, + 819476036, + 555681406, + 551810383, + -1, + -1, + 429011467, + 805248783, + 790525929, + 672438850, + 868553925, + -1, + 553939512, + 884963592, + 696772671, + -1, + 377601965, + 466615910, + -1, + -1, + 975812533, + 269673460, + 751948952, + -1, + 44678453, + 749271389, + 583978859, + -1, + 469750885, + 68154216, + -1, + -1, + -1, + 367164004, + -1, + -1, + 522419940, + -1, + 395389006, + 562774520, + 37234344, + -1, + 104993730, + 62741282, + -1, + -1, + 920995120, + 914522746, + -1, + -1, + 169774345, + 129263813, + 232324645, + 823203606, + 799012938, + 238802268, + 421934978, + 241971969, + 12926593, + -1, + -1, + 827194238, + 335165019, + 199510527, + 161319024, + -1, + 886166796, + 285600253, + 724016705, + 540771995, + 621517394, + 659453130, + 125788515, + -1, + 657605054, + 270614322, + 436145848, + 231293496, + 858600268, + 909418699, + 969555572, + -1, + -1, + 369871793, + 187648919, + 557818308, + 781396815, + -1, + 715433272, + 102758406, + -1, + -1, + 649028700, + 328950029, + 493357744, + 945195029, + -1, + 121168895, + -1, + 951479532, + -1, + 437382512, + 347634772, + -1, + 604905966, + -1, + 33015662, + 494666647, + 171801631, + 291319813, + 277240768, + 273568876, + 8301727, + 882986561, + -1, + -1, + 995747947, + 974092096, + 308457870, + 658505012, + 940890575, + -1, + 203471942, + 273191681, + 356909953, + -1, + 981052559, + 980773618, + 936461367, + 544094848, + 483289811, + -1, + 427159801, + -1, + 818611420, + -1, + 406839944, + -1, + 59372303, + 364555377, + -1, + 777859298, + 152144194, + 416242782, + 113998533, + -1, + -1, + 682202331, + 456996154, + 497624903, + -1, + -1, + 652793407, + 844000669, + 647558594, + 841505176, + 258978163, + -1, + 497583221, + 265965084, + 497202126, + -1, + -1, + 722151184, + 244807564, + 402463733, + -1, + -1, + 447990054, + -1, + 92600948, + 469042832, + 986186881, + 239982964, + 453351103, + 400476304, + 182943499, + 106892509, + -1, + 476310525, + 163007785, + 667268360, + -1, + 90011868, + 59836994, + 165188810, + 190960345, + -1, + 818944389, + -1, + -1, + 789227055, + 943037169, + 653893687, + -1, + 335131510, + 419360404, + 161898984, + 980595239, + -1, + -1, + 308201936, + 914848664, + -1, + 940530909, + 270853386, + 235662539, + 260866264, + -1, + 560019089, + 422173707, + 194570228, + 532206012, + 586377758, + 601472104, + 975587602, + 500899896, + 387701134, + 403068673, + 48504894, + 432844792, + 331695910, + -1, + -1, + 531812990, + -1, + 589664715, + -1, + 801240353, + 557881398, + 981942110, + 262068390, + -1, + 30594287, + -1, + 92951962, + 504755277, + -1, + 108794670, + 623515008, + -1, + 697353210, + 512446426, + 828941563, + 447032809, + 519867339, + 880281036, + -1, + 936910491, + 743698132, + -1, + -1, + 582888188, + 148044776, + -1, + 318231033, + -1, + 331966124, + -1, + -1, + 387396690, + 691480586, + -1, + 243079404, + 383020505, + 132925465, + 649074000, + -1, + 802112197, + 153926784, + 905053122, + 520609638, + 858533158, + 553383476, + 228924397, + -1, + 264918406, + 103429019, + 450806724, + 223736139, + 580049381, + 131798622, + 975873891, + 161954161, + 846969700, + 604881366, + -1, + -1, + 882463670, + 959264287, + -1, + 559952295, + 287344588, + 145156250, + 258658844, + -1, + 433845534, + -1, + -1, + 78666622, + 641571179, + 702859236, + 115302725, + 862026388, + 177648631, + -1, + 799817385, + 22911741, + 940477828, + 904750381, + 747298983, + 896354617, + -1, + 930431101, + -1, + 759663688, + -1, + -1, + 801608300, + 258325560, + 677720825, + 615938387, + -1, + 987540745, + 467500726, + -1, + -1, + 642166748, + 647035864, + 23705838, + -1, + 354905744, + -1, + 115432580, + 179363164, + 8607376, + -1, + 217281596, + 509810456, + -1, + 716615171, + 196678402, + -1, + 43270155, + -1, + 181292700, + 306866060, + 23117133, + 761036267, + 885606707, + 137881604, + 438247938, + 326865748, + 715685901, + 795004931, + 712105964, + 787129701, + 486052247, + 115091248, + -1, + 812753962, + 401155224, + 631068088, + 284811563, + -1, + 732628480, + 126442963, + 244650877, + -1, + -1, + -1, + -1, + -1, + 915474100, + 714017866, + 153689416, + 375109503, + 104512139, + 525514392, + 622705843, + 926880470, + -1, + -1, + -1, + -1, + -1, + 747002991, + 543651658, + 147639628, + 165273933, + 82885192, + 216524302, + 637684729, + 49600750, + -1, + 864991593, + 284734833, + 596183909, + -1, + 988909972, + 194194071, + -1, + 204776585, + -1, + 250167178, + 140707773, + 167227738, + 635505284, + 814074315, + -1, + 850454572, + 923319821, + 934829353, + -1, + 636586683, + 612043800, + 227084824, + 988092267, + -1, + 235512799, + 397489208, + 723613071, + 959155678, + -1, + 481857798, + 273040128, + 696197300, + -1, + 753555611, + 294078872, + 305010660, + 631520054, + 993313048, + 604136123, + -1, + 720470841, + 987175897, + 670610742, + -1, + 289657656, + -1, + 720240632, + 112295014, + -1, + -1, + 344767913, + -1, + 217571776, + 448580968, + 797065422, + 770324041, + 53591528, + -1, + 612753086, + 807859707, + -1, + -1, + 380892740, + -1, + -1, + -1, + -1, + 499398974, + 711972355, + 859293188, + 746300281, + 284275946, + 306370550, + 562210271, + 558603468, + 887274944, + 915246048, + 77401957, + 120028385, + 879104503, + 729208820, + 847120574, + 377386689, + 563102564, + 864333552, + -1, + 81525421, + 293481798, + 525258507, + 934907059, + 290975667, + 140650330, + -1, + 898759930, + 39803775, + -1, + 245643985, + 88029478, + 356955261, + 28112471, + -1, + 656221919, + 133200959, + -1, + 632028027, + -1, + 467524441, + 427411418, + 191854567, + -1, + 272274859, + 841053180, + 472252404, + 481143696, + -1, + 728003465, + -1, + 203435549, + -1, + 327637156, + -1, + 375981747, + 591077796, + 471666068, + 774704867, + 588925589, + -1, + 769830894, + -1, + 394469267, + 589876494, + -1, + -1, + 823972866, + -1, + 37414583, + -1, + 196683656, + 676561030, + -1, + 879652702, + 713837391, + -1, + 459012570, + -1, + 461808719, + 617846183, + 305546944, + 975907973, + 146412635, + 796296645, + 34563270, + -1, + 846634627, + 780100504, + -1, + 523575041, + 612696520, + 819090934, + 827775010, + 959094190, + 909088416, + 589079868, + -1, + 485161473, + 496492767, + 305761286, + -1, + 235843175, + 699146065, + -1, + 243159381, + -1, + 200610597, + 102521567, + -1, + 575750760, + 119251703, + 7844109, + 781181917, + 751509370, + 175542029, + -1, + 355451427, + -1, + 966348199, + -1, + 150602789, + 685757237, + 862125028, + 352901353, + -1, + 997598820, + -1, + -1, + -1, + 278006700, + 456990495, + 190103875, + 832656452, + -1, + -1, + 567578983, + 566696584, + 240577290, + 263478312, + 218355122, + 188818162, + 674397709, + 734808007, + 866948114, + 888251467, + 699174785, + 200276629, + 173429946, + 606548688, + 980281662, + 906292236, + 904298284, + -1, + -1, + 928675928, + 600062213, + 765761549, + 603618479, + -1, + 331546032, + -1, + 570347929, + 736942009, + 421858083, + 437697058, + 726550975, + 321957351, + 712206073, + 680296877, + 467121734, + 215778915, + 557499438, + 551927300, + -1, + 123608667, + 91362531, + 852016226, + 498984309, + -1, + 804435784, + 542806690, + 953416343, + 15211029, + 912300648, + 171204077, + 412327517, + -1, + -1, + 552148556, + -1, + -1, + 514574302, + 169374918, + 251791703, + 875024565, + 861385614, + 985415391, + -1, + 351388918, + -1, + 570793992, + 479934991, + 425161508, + -1, + 695123593, + 935178640, + -1, + 776765245, + 659233948, + 188612306, + 98520512, + 607092182, + 622197737, + 148368474, + 137667883, + -1, + -1, + 843475412, + -1, + 218393382, + -1, + -1, + 291079276, + 865107650, + -1, + -1, + 827312837, + 206632189, + 990832702, + 9923085, + 88792721, + 375947539, + -1, + -1, + 319067649, + 55781023, + 650144651, + 382664792, + 562408511, + -1, + 287463494, + -1, + 79944344, + 68466410, + 374115495, + 888205773, + 781120947, + 258200231, + -1, + -1, + 148110696, + -1, + 978795716, + -1, + -1, + 889989108, + 907030944, + -1, + -1, + 241750428, + 96584471, + 309959442, + -1, + 480749778, + 508138132, + 606926050, + 133942187, + 500623443, + -1, + -1, + 905900466, + -1, + 63114280, + 521111213, + 560943951, + 39518354, + 555938744, + 989046597, + -1, + 156432929, + -1, + 404537486, + -1, + -1, + 70430280, + 820753900, + -1, + 259208631, + 890565662, + 624516180, + 787190953, + -1, + 444225797, + 880729729, + 13029858, + 915099177, + 246094454, + 923796267, + -1, + 13556621, + -1, + 702192080, + 595356233, + -1, + 574059699, + 164351245, + 654880543, + 313232638, + 949593549, + 673401869, + -1, + -1, + -1, + 83205769, + 700055148, + 154763381, + -1, + -1, + 307788998, + 438925860, + 900883780, + 335478185, + 549543947, + -1, + 625839750, + -1, + 545998168, + 556867943, + 543823375, + 999157041, + -1, + 587940552, + -1, + 137932090, + 686920962, + 293842412, + 72795223, + -1, + 518688358, + 54663629, + -1, + 286458790, + 321990236, + 125164848, + 384242859, + -1, + 959516749, + -1, + 506298092, + 28344203, + -1, + -1, + 751262464, + -1, + 709086398, + 430539145, + -1, + 972628506, + 73925800, + 272463180, + 136558303, + 73891666, + -1, + 54618761, + 757245421, + 259245950, + 272779671, + -1, + 944742305, + 558027819, + -1, + 70267353, + 179307045, + 337287591, + -1, + 474905706, + 605476051, + 769508513, + -1, + 232354320, + -1, + -1, + 139478749, + 512449536, + -1, + 861448057, + 402381360, + 785983576, + 502567606, + 651110894, + -1, + 436139393, + 810077691, + 792643095, + 61765448, + 170102392, + -1, + -1, + 394306807, + 293032227, + 617073219, + 79676040, + -1, + 898704419, + 223694673, + 801147013, + 745425701, + 956614298, + 962106437, + -1, + 685717524, + 90318744, + 195069392, + 6488102, + -1, + -1, + 381274856, + 623540579, + -1, + 960485609, + 574787488, + 253903714, + -1, + 391327429, + 778949163, + 877031857, + 667541239, + 921071078, + -1, + -1, + 355976047, + 570180104, + 991043368, + 205030755, + -1, + -1, + 204302791, + 659263527, + -1, + 695231972, + 649203523, + 150256255, + -1, + -1, + 498146622, + 751969622, + 882419696, + 526681761, + 481111866, + 240717197, + -1, + 72289920, + 527228620, + 992033079, + 526056726, + 286943335, + 801287717, + -1, + 787646647, + -1, + 936915084, + -1, + 15172857, + 527117413, + 690445617, + -1, + 926227946, + 408233904, + 677469843, + 525540949, + -1, + 870779796, + -1, + 453031910, + 218332637, + -1, + -1, + 259283253, + 382776781, + 8093514, + 328518973, + 867364245, + -1, + 599182156, + -1, + 382220456, + 838711997, + 182462978, + 116804512, + 652368957, + 311462495, + -1, + 629509543, + -1, + -1, + 592162598, + -1, + 616537894, + 757087196, + -1, + 464329438, + -1, + 268346350, + -1, + 554141689, + 409164892, + -1, + -1, + -1, + 638872728, + 272611095, + -1, + -1, + 40443096, + 88177565, + -1, + 428774561, + 788564483, + 542365803, + 117234714, + 394531338, + 298520304, + -1, + 255884601, + -1, + -1, + 973843581, + 292048736, + -1, + 997135472, + -1, + -1, + 925984495, + 647709475, + -1, + -1, + -1, + 833924800, + 328665974, + 782181020, + 244124128, + 479924850, + 399694211, + -1, + 885939376, + 420454492, + -1, + 97848367, + 402181331, + 788463062, + 434803396, + -1, + 300559040, + 148422682, + -1, + 607938760, + 472531846, + 520320904, + -1, + 783427526, + 255737941, + -1, + 234457873, + 809822931, + -1, + 735226770, + 275156485, + 664110299, + 267395877, + 981089513, + 573687117, + -1, + 910931443, + -1, + 693056771, + 463472846, + -1, + -1, + -1, + 46274435, + 564308281, + 758277180, + 58392135, + -1, + 74194419, + 922238754, + -1, + -1, + -1, + 175025802, + 994987195, + 367847665, + 230350633, + 608009493, + -1, + 419922909, + -1, + 199080124, + -1, + 971566870, + -1, + 126235987, + 463934807, + 889123871, + 462526403, + 499478092, + -1, + -1, + 475202898, + 502217199, + 510394782, + 776562475, + 374444899, + 42680668, + 670883392, + 290528773, + 450288909, + 370351647, + 751040984, + -1, + -1, + 797475813, + 996403893, + -1, + -1, + 255604375, + 513839458, + 550235614, + 506228656, + 636021469, + -1, + 749129763, + 520167129, + -1, + 710233859, + 594923679, + 67874975, + 904737521, + 501807064, + 954155898, + 725959659, + -1, + 41220954, + 202515278, + -1, + 991870571, + 682901020, + 273627415, + 399590970, + 128683135, + 182293461, + 511729733, + 194968464, + 156140521, + -1, + -1, + 201806180, + -1, + 680567923, + -1, + 973575520, + -1, + 933873045, + 56048372, + 487122697, + 590432327, + 954551228, + 714320655, + 769571093, + 431703856, + 488816592, + 764416102, + -1, + 630043703, + 876145301, + 494938028, + 13516961, + -1, + -1, + 944987782, + 560395360, + -1, + 42309940, + 3026341, + 430356611, + -1, + -1, + 785486920, + -1, + 418363135, + 929418159, + 413684281, + 637931351, + 921183162, + -1, + 406115155, + 982061933, + 660364286, + 543423606, + -1, + -1, + 44840816, + 157965361, + 801250380, + 151322184, + 295549909, + 230013069, + 323061935, + 418427804, + 792807097, + 118759697, + 635692735, + -1, + 164975188, + 314549514, + 999719636, + -1, + 912695429, + 331125944, + 924544617, + -1, + 180572944, + -1, + 641468353, + 468148163, + -1, + 695837822, + -1, + 864580914, + 599714422, + -1, + -1, + 205923429, + 690419337, + 467203562, + 304620603, + 570386546, + 388431180, + 9753249, + -1, + -1, + 285600796, + 617873082, + -1, + -1, + 886525205, + -1, + -1, + 237570663, + 957702217, + -1, + 615203494, + 523464726, + 464516472, + 553230607, + -1, + 473123216, + -1, + 219565010, + 875380440, + -1, + 122636069, + 498966817, + -1, + 607603230, + -1, + 167314187, + -1, + 114489695, + 625154837, + 983492378, + 951185067, + 334158165, + -1, + 404833763, + 95694219, + -1, + 373908906, + 194082217, + 42964577, + -1, + 49589056, + 758853253, + 444751645, + -1, + 264874113, + -1, + 178979685, + 363508119, + 342573777, + 963978324, + 999247829, + 663211768, + 769356495, + 924458661, + 498376108, + -1, + 639164321, + 262316050, + 266408795, + -1, + 379957601, + -1, + 205713993, + 5665103, + 438027788, + 604898975, + 960444688, + 859253207, + -1, + 425486037, + 312471645, + 948574408, + 689667899, + -1, + 720865234, + 195914055, + 475061244, + -1, + -1, + -1, + 532905090, + 323544900, + 432120169, + -1, + 912548828, + 631106626, + 463097775, + 979056937, + 146393669, + 680933012, + 150163401, + -1, + -1, + -1, + 935538421, + 481601957, + 130411644, + -1, + 747379366, + 381267869, + 440794765, + 284020353, + 3375245, + 550276229, + 265669755, + -1, + 834762870, + 409073495, + -1, + 791841807, + 232541258, + 70612856, + -1, + 492742538, + -1, + 979794154, + 69379738, + 946989864, + -1, + 665114170, + 622068460, + 64013574, + 333978167, + -1, + 449303074, + 262767877, + 807379129, + 236959072, + 985299145, + 279315595, + -1, + -1, + 716867051, + 820052475, + -1, + 776767521, + 822133015, + 898506843, + 799509720, + 384877760, + 374298228, + 444141091, + -1, + 776912275, + -1, + 187848168, + 197548066, + 962962752, + 523503471, + -1, + 744214000, + 547932895, + 184883098, + -1, + 573461637, + 85760832, + 821130066, + -1, + 60956601, + 349377502, + 259252986, + 780431281, + 8316317, + 880639113, + 441081927, + 982917044, + -1, + -1, + 191586184, + -1, + 48747634, + 890688603, + 212582082, + 573679662, + 319720662, + 555810823, + 740072146, + 953242368, + 856744926, + -1, + 554622015, + 607017015, + 534291140, + 861223222, + 484060453, + -1, + 401095404, + 254527059, + 745542053, + 440940626, + 593338094, + 462199296, + 565966298, + 298938268, + 9385551, + 785426320, + -1, + 612914989, + 971337947, + -1, + 566226798, + 297703299, + -1, + -1, + 183769290, + 734900724, + 137442093, + -1, + 790675840, + 713664140, + -1, + -1, + 59617448, + 538348453, + 379945345, + 615231072, + -1, + 850803837, + 535013404, + -1, + -1, + 661240529, + 424730460, + 477524431, + 83557910, + -1, + 862761316, + -1, + 41897112, + 62466087, + 521325581, + 955990468, + 38281462, + 540870142, + -1, + 937548364, + 890654598, + 885030841, + 893948903, + 718245698, + -1, + -1, + 167374718, + 932514807, + -1, + -1, + 245600649, + -1, + -1, + 215215273, + 607572226, + 314753527, + 180637210, + 579008599, + 380753270, + -1, + 747427858, + -1, + 622391120, + 935494638, + 359251140, + 688235663, + 986571505, + 831319292, + 726210799, + -1, + 502094887, + 66161829, + 139399548, + -1, + 722096138, + -1, + 98367953, + -1, + 495120986, + -1, + 895368711, + 827271652, + 120581835, + 302665191, + -1, + 124466025, + 803028870, + 768100569, + 560866748, + 886109982, + -1, + 665685753, + 152115854, + 503547499, + 185316551, + 200588037, + 983534099, + -1, + 808641788, + 313068197, + 555087408, + 731527464, + 162125784, + 489376710, + 207895796, + 806550885, + 840913288, + 101865198, + -1, + 640371086, + 866273584, + -1, + 262148307, + -1, + 232619302, + 742725871, + -1, + 888134945, + 637450941, + 121450798, + -1, + -1, + 129763656, + 600536120, + 140567267, + -1, + 370721316, + 890817471, + 771429524, + 690909820, + 159774866, + 895357229, + 64757654, + 667764033, + -1, + 979762865, + 794901051, + 704039731, + 283628897, + -1, + -1, + -1, + 442537964, + -1, + 356186460, + -1, + 527582218, + -1, + -1, + -1, + 329872737, + -1, + -1, + 221223916, + 596904086, + 1652482, + 887202382, + 584857001, + -1, + 906337344, + 730350414, + 782234506, + 820821984, + -1, + -1, + -1, + 642330907, + -1, + 43246070, + -1, + 392280514, + 820499086, + 124660329, + 212430208, + 615451066, + 670551627, + 333277680, + 709747591, + -1, + 214714441, + -1, + 163447872, + 701205482, + -1, + 885413481, + 373822064, + 282517331, + 761119233, + 175732981, + -1, + -1, + 195808606, + 759467152, + 941695420, + -1, + 148659716, + 394655464, + -1, + 421779631, + 745490215, + 801102659, + 76610604, + 457503093, + -1, + -1, + 259296232, + 5748773, + 949971873, + 890592783, + -1, + -1, + 785494783, + 386697992, + 536944154, + 817958164, + 9800511, + 50738097, + 164049364, + 670762301, + 345048463, + 408044655, + 30087049, + 718813951, + 683103060, + 982080550, + -1, + -1, + 280089806, + 235264468, + 766307875, + 287216881, + 650887092, + 824035716, + 448322706, + -1, + 279268355, + 95342163, + 840025098, + 594789585, + -1, + 870098652, + 180852724, + 747880745, + 654300559, + -1, + 243185584, + -1, + 728643845, + -1, + -1, + 64720582, + 381491611, + 610107313, + -1, + -1, + 457245354, + -1, + -1, + -1, + -1, + 498337397, + 486579755, + 468527644, + -1, + 28582277, + 20172246, + -1, + 125536932, + -1, + 444291936, + -1, + -1, + 784785545, + 943445034, + 424148456, + 494916017, + -1, + -1, + -1, + 438544864, + 122642139, + 917403763, + 434690671, + 201125763, + -1, + 344325745, + 520881421, + 492449282, + 867047351, + 677993271, + 102277540, + -1, + 948900439, + 28616635, + -1, + 335983254, + 927394352, + -1, + 440237315, + -1, + 663197692, + 706806609, + 406807371, + 761655054, + -1, + -1, + 574839494, + -1, + 334809138, + -1, + 901141339, + 717252258, + -1, + 504114176, + -1, + 878938628, + 477721191, + 549113277, + 623452655, + 167041512, + 999874220, + 363613326, + 787808567, + 122200642, + 850651990, + -1, + 85222593, + -1, + 886640093, + -1, + 653716834, + 416406533, + 973030680, + 158389358, + 833310725, + 154655232, + 278265199, + -1, + 508784600, + 320107044, + 423509696, + 458898555, + 52418830, + 188179956, + -1, + 586178522, + 419699186, + -1, + -1, + 8180139, + 93741485, + -1, + -1, + 896614861, + 77678740, + -1, + 728414248, + -1, + -1, + -1, + -1, + 670148896, + 351689971, + -1, + 56584233, + 902803074, + 338434994, + 210546970, + 15041627, + 507374556, + 718093822, + -1, + -1, + -1, + 735201523, + 117268240, + 272577157, + 863195346, + 425462535, + 9824072, + 421727365, + 374743260, + 258627753, + 92651841, + -1, + 466721561, + 987621563, + 399344472, + 22761549, + 586492607, + 948500649, + -1, + 555163671, + 456550576, + 66204336, + 188318851, + 373579134, + -1, + -1, + -1, + -1, + 626568937, + 608374787, + -1, + 678412727, + 102424695, + 884765850, + -1, + 529847265, + 700512585, + 676077926, + 786812645, + 411136846, + 57442331, + -1, + 820846080, + 690441121, + 362857594, + 549640979, + 948807375, + 520390277, + -1, + -1, + 924272039, + 731770260, + -1, + 331236634, + -1, + 989167711, + 191255226, + 907230490, + 287009852, + 303722517, + 463362183, + 851571877, + 566013122, + 22384208, + 410185312, + 30115079, + 414105010, + 496057516, + 997080827, + -1, + 932748325, + 881106063, + 548986092, + 304065841, + 939545734, + 212781758, + 49873770, + -1, + 473471228, + -1, + -1, + -1, + 877529475, + 176962209, + -1, + 988164862, + 292165029, + 688872513, + 6673313, + -1, + 846341086, + -1, + 429240054, + 727040216, + 89743838, + 647838575, + 367912786, + 387609575, + 822695179, + 996584411, + -1, + 856000261, + -1, + -1, + 548189658, + 174344979, + 228391704, + 437660341, + 663398258, + 874964588, + -1, + 187118626, + 228747682, + 680795719, + 448898126, + 683911392, + 917797594, + 516565294, + 350474924, + 800424579, + 653804175, + 96697379, + -1, + 555988482, + 735265924, + 705511279, + -1, + 37965324, + 568149391, + -1, + -1, + 267784838, + 470568014, + 903797482, + 752095001, + -1, + -1, + 409610375, + 637525514, + -1, + 593680803, + 434139685, + -1, + -1, + 176484576, + 3045850, + 929130454, + 697378615, + 153329558, + 13517479, + -1, + -1, + -1, + -1, + -1, + 13483208, + 45480655, + 401865945, + 220414913, + 974622023, + 728965115, + -1, + 915196669, + -1, + -1, + 591749386, + 906900431, + -1, + 52738949, + 98595377, + -1, + 892043202, + -1, + -1, + 690175681, + -1, + -1, + 118428464, + -1, + -1, + 359529094, + 531091986, + 335334796, + -1, + 237118106, + 101252549, + 513560283, + 836491342, + 993665310, + 504418798, + 279771208, + 545536335, + -1, + 844658128, + 47594639, + 286859706, + 90662751, + -1, + 964579132, + 407266788, + 122064353, + -1, + 878048699, + 160488806, + 787196898, + 281595894, + 953833408, + 456405991, + -1, + -1, + 781681779, + 281102291, + -1, + -1, + 512373734, + 826344922, + 374850609, + -1, + 494443850, + 715714038, + 948068100, + 235766028, + -1, + 708236085, + -1, + 126182442, + 325990491, + 550864473, + 652160962, + 824052236, + 572605273, + 796146149, + 410643663, + 731861776, + 649534584, + 405243855, + -1, + 998494264, + 708846857, + 452293089, + 398715326, + -1, + 607083324, + 450151623, + -1, + 921420152, + 307618206, + -1, + -1, + 247619836, + 125309425, + 627521873, + 268329833, + 834915945, + 992784727, + 251363024, + 785474345, + 413158247, + 147503378, + 823214624, + 564001926, + 130979384, + 976341757, + 472065065, + 616561921, + 781062652, + 269512575, + 912450842, + 676483129, + 274391970, + 756618332, + 582741300, + 777727293, + 191689361, + -1, + 467956468, + -1, + -1, + 119245096, + 66607434, + 618026945, + 393062350, + 465266026, + -1, + 703810878, + 553359290, + 810752255, + 19992199, + -1, + 742298406, + -1, + 692944751, + 943188488, + -1, + -1, + 25890744, + 485642230, + 403342694, + 24970266, + -1, + -1, + 464940080, + -1, + 464706414, + -1, + -1, + 128160911, + 819315652, + -1, + 968705708, + 308682043, + 48638009, + -1, + -1, + 239288331, + 8788730, + 156228655, + 278799262, + 572571083, + -1, + 669701190, + 746536354, + -1, + -1, + 833382156, + 489062078, + 689070039, + 369928947, + 162174187, + 790301487, + -1, + -1, + 71700791, + 405391220, + 594546813, + -1, + -1, + -1, + 155223712, + 517281159, + -1, + 797072805, + -1, + 456855294, + 672493534, + 332303739, + 209400458, + 774863488, + -1, + 679604391, + 402858522, + 413290209, + -1, + -1, + 208379255, + 143449393, + 193173720, + -1, + 866307319, + 724293637, + -1, + 349811694, + 51384538, + 532457160, + 986785274, + 871897714, + -1, + -1, + -1, + -1, + 834496991, + -1, + 610681640, + 352590235, + 92234569, + 654312001, + 43085127, + -1, + 428524254, + 209689558, + 742266047, + 167454156, + 640742465, + 791149732, + -1, + 931542936, + 232210420, + -1, + 887146209, + 189045221, + -1, + 767652074, + -1, + 664608748, + 97486494, + 552770360, + 679026270, + 66359425, + 425234538, + 384221402, + 668998025, + 819054343, + 552747936, + 561991464, + -1, + -1, + 896790309, + -1, + -1, + 764425331, + 17984404, + 293036102, + 620619939, + -1, + 245050686, + 205323685, + 307239088, + 872374283, + 134206225, + 95523999, + 599814991, + 907166350, + 37453777, + -1, + -1, + -1, + 438704580, + 313203241, + 906156644, + -1, + 331684790, + -1, + 87955728, + 860238984, + 780757434, + -1, + -1, + 367660312, + 375606997, + 841744011, + 642723208, + -1, + 730107472, + -1, + 184657132, + 954789489, + -1, + 204934465, + 864023563, + 146488897, + -1, + 680704400, + 573694495, + 612641681, + -1, + -1, + -1, + 466198678, + -1, + 972919912, + 209800123, + 359744758, + 330736301, + 508845653, + 658452141, + 307149911, + -1, + 147592171, + 774019333, + -1, + -1, + 73391026, + 362207887, + -1, + 71715065, + 423494784, + -1, + 432011975, + 246554629, + -1, + 454019789, + 170966047, + -1, + 491013611, + 776500058, + 455002497, + 515234739, + 666076709, + 541527740, + 250035513, + 471637541, + -1, + 295067829, + 987215759, + 601600297, + 346770683, + 104335493, + -1, + -1, + 732253306, + 168308930, + 887464737, + 439294466, + 955480659, + 997021246, + 16531311, + 15628782, + 211466444, + -1, + 22027973, + 328444037, + 689895355, + 12332570, + 349896686, + -1, + 99000862, + 970434022, + -1, + 640906382, + -1, + -1, + -1, + 245895542, + -1, + 717759701, + 827231355, + -1, + -1, + -1, + -1, + 79857172, + 157071396, + 680204656, + 775729980, + 188741879, + 276625881, + 607890858, + 464131490, + -1, + -1, + 737319057, + -1, + 524502270, + 750116576, + -1, + 257318414, + -1, + 562411410, + 419299861, + -1, + 509393919, + 162838796, + -1, + 31158726, + -1, + -1, + 862840583, + 641166888, + -1, + 690087388, + 825379856, + 870924737, + 531921603, + 664950629, + 949229668, + -1, + 395720188, + 720768930, + -1, + 760918955, + -1, + 576116452, + 69336165, + -1, + 839040343, + -1, + -1, + -1, + 85879857, + -1, + 982243642, + 883159049, + 658080024, + 80956544, + -1, + 450425460, + -1, + -1, + 708214856, + -1, + 97923090, + 521465179, + -1, + -1, + -1, + 239857205, + 816741900, + 170363288, + 538936790, + 614803474, + 993702669, + 340665827, + 211535784, + 595417890, + -1, + -1, + 853569199, + 27633700, + 592981188, + -1, + 871187805, + 641537931, + 808449535, + 914244828, + 280690440, + -1, + 325429065, + 885068718, + 687359255, + -1, + -1, + -1, + -1, + 440027765, + -1, + 954736931, + -1, + 605463582, + 72535639, + 451715562, + 267300081, + -1, + 899926456, + 522337337, + 931105534, + 408422070, + 288121702, + 635602644, + 386723548, + 787804132, + 675718200, + -1, + 312747260, + 489872863, + 19329725, + 269781774, + 138554011, + 162555592, + -1, + -1, + 52583370, + 765993958, + 374283337, + 26067800, + 87775109, + 211614798, + -1, + -1, + 7877208, + 771260046, + -1, + 218331656, + 458310306, + 335677337, + 440949531, + 270925257, + 269123870, + -1, + -1, + 1451025, + 444322945, + 788401671, + 665055816, + -1, + -1, + -1, + -1, + -1, + 787734628, + -1, + -1, + 560078384, + 422377275, + 700676847, + 866078461, + 293327931, + 30714972, + -1, + 399863202, + -1, + 197345295, + 962221122, + 649171918, + 833502930, + 904934429, + -1, + 852169045, + 986740668, + 929330317, + 560254742, + 836091036, + 451251833, + 678082271, + -1, + 590201742, + 352951223, + 631663235, + 633324963, + 984729718, + -1, + 576585046, + -1, + 704675608, + 752187811, + 401662503, + -1, + 746739963, + 634753893, + -1, + 429007098, + 689035707, + 218839554, + -1, + 757449279, + 356325395, + -1, + 750836348, + 83071644, + 779937830, + 718590934, + -1, + 384738427, + -1, + 717861956, + -1, + 59154683, + 913342439, + 659172171, + -1, + 181333436, + -1, + -1, + 865922102, + 827279124, + -1, + 474646138, + 781532796, + -1, + 330738309, + -1, + 529463130, + 149890542, + 106754927, + -1, + 237403593, + -1, + -1, + 494741957, + -1, + 347422359, + 124747090, + 957075670, + 935036234, + -1, + 445847524, + 646631099, + -1, + 933320945, + 919219447, + 314796316, + -1, + -1, + 296595597, + 338056620, + 773515332, + 138429177, + 719315430, + 482624596, + 744313962, + 523424315, + 538913080, + 473391684, + 968540378, + 571345367, + 672297099, + 107297851, + 458121540, + -1, + 181576769, + -1, + 510066033, + 333433309, + 794911264, + 67450319, + 70119186, + -1, + -1, + -1, + 681816831, + 202397652, + 918413102, + 166144641, + 127096545, + 160095972, + 415381198, + -1, + 555683269, + 911875885, + 571371590, + 12292786, + 808454941, + -1, + -1, + 900649581, + -1, + 814546433, + 423040122, + 933008630, + 941806647, + -1, + 161346864, + 453674242, + -1, + 783184487, + 487925342, + -1, + -1, + -1, + 171950960, + 316959102, + 31120473, + 65352673, + 379693602, + 956809993, + -1, + -1, + 377838258, + -1, + 562639780, + 882985684, + -1, + -1, + 145540147, + -1, + -1, + 917972452, + 792221576, + 751906565, + 304691236, + 799653564, + 317774641, + 705958760, + 888114348, + 766946084, + -1, + 556508634, + 294038053, + 629975645, + 87309974, + 647501178, + 843092312, + -1, + 43863648, + 532972183, + 46455015, + 478931211, + 473503352, + 780705437, + 629147618, + 920577719, + -1, + 187744495, + 502895071, + 902739658, + 717966539, + -1, + -1, + -1, + -1, + 871459278, + 207323112, + 180962979, + 673935162, + -1, + -1, + -1, + 170989774, + 852574141, + 334219926, + 6459636, + 668882382, + 95930918, + 209067663, + -1, + 175420310, + -1, + 854712868, + 397917505, + -1, + 296579142, + 509747324, + 749609871, + 707085649, + 307396254, + 97960946, + -1, + 961439727, + 919382829, + 290113987, + 16462030, + 343470469, + -1, + 771108225, + 842242666, + 461911134, + 442333145, + -1, + 390851031, + 898001052, + -1, + 561837170, + 278897237, + -1, + 640352766, + 312284284, + 652579449, + 299784995, + 424167017, + 849811137, + -1, + 990468109, + 608391832, + 425370258, + 323287157, + 671976578, + -1, + 30358031, + -1, + 591278745, + 80771312, + -1, + 959113011, + 322733563, + -1, + -1, + -1, + 89737611, + 145973213, + -1, + 993670634, + -1, + 251524111, + 806339759, + 649718719, + 160684194, + -1, + 620188304, + 570882133, + 565604453, + -1, + -1, + -1, + 523846113, + 38028945, + 845800054, + -1, + 182412730, + 566124444, + -1, + -1, + 840399473, + -1, + 979582225, + 98491971, + 632172955, + 11317941, + -1, + 574578392, + 103665080, + -1, + -1, + -1, + -1, + 496635382, + 978518572, + 760470711, + -1, + 218038680, + 117591258, + -1, + 107009575, + 215064367, + -1, + 284341254, + -1, + 324144936, + 76356667, + 170587235, + -1, + 837775800, + 234032911, + 197165049, + 815796560, + -1, + 580585283, + 163550167, + 193206017, + 862505168, + 584184870, + 426152095, + 504203352, + 129076070, + 445191362, + -1, + 578153911, + 829708366, + 627125576, + -1, + 306874959, + 130809769, + -1, + -1, + -1, + 462082004, + 748509104, + 8334000, + 515685933, + -1, + 222863645, + -1, + 65438823, + 269486321, + 112771171, + 938000862, + 312853036, + 919770447, + 359572649, + -1, + 63639439, + -1, + 920597078, + 420990462, + -1, + 823659989, + -1, + -1, + -1, + 237317615, + 272719826, + 913717672, + 537806309, + 368518715, + 431399444, + 558600604, + 165112640, + -1, + 28196295, + -1, + 777562358, + -1, + 140161038, + -1, + -1, + 706669790, + 288007286, + 622914667, + 208904928, + 542061953, + 720437916, + 54129039, + 84400590, + -1, + 389684181, + -1, + 643458038, + 67328171, + 23641986, + 111372902, + 423716001, + 292240475, + -1, + 335906625, + 933880045, + 333386090, + -1, + -1, + 441897308, + 844092941, + 40846350, + -1, + 543703054, + -1, + -1, + -1, + 569737085, + -1, + 878083239, + 325475212, + 137681214, + -1, + 296033695, + 132703853, + 793932944, + 629501172, + 40934937, + -1, + 923975625, + -1, + -1, + 912303204, + 284186260, + -1, + 265381978, + -1, + -1, + -1, + 40197851, + 579670616, + -1, + -1, + 380373694, + 924503298, + -1, + 670387597, + 578755518, + 878527619, + -1, + -1, + -1, + 948819569, + -1, + 340383231, + -1, + 514682240, + 813567742, + 626453201, + 161110544, + 681137545, + -1, + 698826658, + -1, + 866453513, + 430602336, + 274927230, + 792384183, + 466090291, + 542242841, + 73327312, + -1, + -1, + 982502368, + -1, + 827276799, + -1, + 66318197, + 933145438, + 150983371, + -1, + 779680488, + 111723587, + -1, + 221970214, + -1, + 446843575, + 133447610, + 213693331, + 324140300, + -1, + 100696202, + 886375075, + 845987389, + 784120641, + -1, + 678117232, + -1, + 411892507, + 901447063, + 230828455, + -1, + -1, + 464740688, + 767378198, + 802903507, + 456045291, + 413100800, + 768191819, + 892078076, + 230756928, + 201361245, + -1, + 890330965, + 549493834, + 479577222, + -1, + -1, + 647807934, + -1, + -1, + -1, + 615339538, + -1, + -1, + 598577278, + 395541772, + 843309777, + -1, + 994392699, + 116388702, + -1, + 354637678, + -1, + 548610221, + -1, + 62304883, + 622771195, + 405939586, + -1, + 150328980, + 424608933, + 322315008, + 936748636, + 592361618, + -1, + -1, + 22933916, + -1, + -1, + -1, + 43697924, + -1, + 453776259, + 93076898, + 663032999, + 177223302, + 894877527, + -1, + -1, + 146383920, + 416550386, + -1, + -1, + -1, + 132539216, + 990689563, + 946694072, + -1, + -1, + 437193362, + 72374686, + -1, + -1, + 923251451, + 22659898, + 193726995, + 555710734, + 390268073, + -1, + 102745012, + 302853178, + -1, + 164451589, + 731697995, + 589878028, + 4996356, + -1, + -1, + 434255361, + 659215071, + -1, + 439174622, + 296168410, + -1, + 608820199, + 884497443, + 548076848, + 817038643, + 503595039, + 539758854, + -1, + 692238282, + 536469870, + -1, + -1, + 867325230, + 21507645, + 201664230, + -1, + 72064806, + 139778432, + 37300996, + 391922225, + -1, + 532021756, + 152676873, + 196735550, + -1, + -1, + 764238411, + 17552008, + 67705719, + 399372956, + -1, + -1, + 546766223, + 257881703, + 358409241, + 729478921, + 258825633, + -1, + 560105162, + 71558607, + -1, + 625648292, + 115657998, + 974890249, + 495121298, + -1, + 333580177, + 49173138, + 494109205, + -1, + 940014146, + 223708162, + 159211167, + 672367820, + -1, + -1, + 184526147, + 852655768, + 929268148, + -1, + 878201366, + -1, + 39590425, + 694614402, + 508110888, + 829221415, + 47354532, + -1, + -1, + 599355622, + -1, + -1, + -1, + 758737550, + 290167557, + 134368878, + 599039011, + 554765282, + 932528987, + -1, + 490966351, + -1, + -1, + 534362912, + 197366521, + -1, + -1, + -1, + 328702822, + 352185607, + -1, + -1, + -1, + 556630781, + 535518, + 268109277, + -1, + 501353565, + 569447944, + 330735473, + 551882798, + 575069292, + -1, + -1, + -1, + -1, + 776644976, + 29415532, + 812467163, + -1, + -1, + 206375024, + 364634950, + 536330008, + -1, + -1, + 65496295, + 515416143, + 164004425, + 824353533, + 763001393, + 866891089, + 295714817, + -1, + -1, + 838721940, + -1, + -1, + 397036906, + 115967379, + 403216512, + 825565740, + -1, + 832099115, + 940183379, + 623468989, + 276858456, + 800822403, + -1, + 746399359, + 224159468, + 731743001, + 144072425, + 989123459, + 364638521, + 934162930, + 707874291, + -1, + 147320783, + 795205576, + 40028537, + 3908903, + 122664582, + 499435173, + -1, + 557972311, + 966256275, + 71973646, + 917773501, + 75714466, + 519383114, + -1, + -1, + 325943005, + 848125087, + 998125352, + 703310761, + 744807993, + 922977243, + 466625653, + 565085963, + 526240002, + 428858347, + 407045041, + -1, + 474058167, + -1, + 878376192, + -1, + -1, + 314442835, + 149788706, + 437462840, + 973665875, + 667373219, + 640529956, + -1, + 568861432, + -1, + 693489153, + 263458815, + 792415304, + -1, + 708229082, + 482089365, + 728649816, + -1, + 963694798, + 851768505, + 884280874, + -1, + 298613524, + 205225170, + 138479940, + 988071065, + 838851816, + -1, + 509046836, + 511379086, + -1, + 52505366, + 729128084, + 67284468, + -1, + 784163824, + -1, + -1, + -1, + 552267048, + 902224235, + 667831850, + 663288730, + 947363861, + 579012064, + 692130532, + -1, + 113524919, + 279204496, + 211468333, + -1, + -1, + 495815613, + -1, + -1, + 120717161, + -1, + 19041240, + -1, + 275871303, + 419158047, + -1, + 151622407, + -1, + 462836008, + 8496013, + 615355420, + 976047812, + -1, + 686834736, + -1, + 376485085, + -1, + -1, + -1, + -1, + 508577046, + 473335647, + 518746289, + 953390205, + 707923278, + -1, + 380879151, + 279933103, + 268692448, + 801019576, + 895834801, + -1, + -1, + 876213894, + -1, + 392925542, + 705459914, + -1, + 414724786, + -1, + 124653841, + 790408175, + -1, + 653231904, + 247320742, + 9825038, + 105425411, + 957715682, + 864527915, + -1, + 784441819, + 976396782, + 373602664, + 384691498, + -1, + -1, + 427696792, + -1, + -1, + 932929002, + 689424669, + 301161678, + 438239336, + 793253567, + -1, + 332943135, + 808813036, + -1, + -1, + 502121080, + 650972908, + 37253017, + 819277395, + 305663653, + 460213416, + -1, + -1, + 622765303, + -1, + 563015676, + -1, + -1, + 431279533, + 858169768, + 795440998, + 572618638, + 605584959, + -1, + 985913627, + 534718561, + 298640449, + 44160625, + -1, + -1, + 819090566, + 646035514, + -1, + 386503116, + 177613143, + 732335672, + 833347653, + 761881692, + -1, + 856378358, + 461748154, + 233780993, + 721827229, + 975086700, + -1, + 414300349, + 537032252, + 567246595, + -1, + -1, + 388208153, + -1, + -1, + 148425238, + -1, + 424244568, + 357219944, + 261081766, + 73661206, + 876146614, + -1, + 836440390, + 479298990, + 948290559, + 152533369, + 653633362, + 730213755, + 196356914, + 922134843, + 709552969, + 953205750, + 990389069, + 912708571, + 30264778, + 523617192, + -1, + 379500680, + -1, + 709235280, + 769871265, + 47936399, + -1, + 658682913, + 105301174, + -1, + -1, + 712164620, + 65958360, + -1, + -1, + -1, + 592472088, + 903544610, + 858140589, + -1, + 397260644, + -1, + 205587344, + 844643606, + 80970413, + 90099745, + 976760408, + -1, + 531732783, + 846514869, + 642639135, + 983984064, + -1, + 439305315, + -1, + 114339426, + 561784971, + 281715724, + -1, + 563510965, + 65031176, + 846222093, + 740437606, + 110377069, + -1, + 186416452, + 790164382, + -1, + 548624390, + 139977295, + 123538303, + 185461428, + 964831822, + 845315171, + 327894267, + 409789292, + 157546760, + 942715295, + 638789635, + 362421231, + 922161452, + 477283221, + -1, + 649666720, + 141015174, + 825669131, + 476606385, + 279233823, + 266768362, + -1, + 669450257, + 58262791, + 151676731, + 417752378, + -1, + -1, + 284122401, + 921562166, + 878694948, + 655240255, + 21990105, + -1, + 512056757, + 995995387, + -1, + 618375937, + 545872583, + 423563571, + 964636109, + 120392252, + -1, + -1, + -1, + -1, + -1, + 343340412, + 727633428, + 250591083, + -1, + 222058328, + -1, + 623087139, + 910614476, + -1, + 832801778, + 488271078, + 26725713, + 91668640, + 248527479, + -1, + 572397449, + 289703495, + -1, + 28409264, + 606044, + -1, + 950782509, + 148280522, + -1, + -1, + 623311684, + 191415051, + 109809526, + -1, + -1, + 131986131, + 588317478, + 168939650, + -1, + 174016176, + 848554540, + 315443697, + 374103335, + 687133566, + 462174786, + 132120708, + -1, + 344279128, + -1, + 792451342, + 850486562, + 266460743, + 183087113, + 442689140, + 487725466, + -1, + 891384403, + 841111778, + -1, + 407208247, + 583717440, + 504874076, + 640101512, + 910441938, + -1, + -1, + -1, + 23708593, + -1, + 773009715, + 61716703, + 534161255, + 493722073, + 546778833, + -1, + 950605493, + -1, + 743762886, + 282843632, + -1, + 159090989, + -1, + 218789068, + 277123687, + 526677292, + 699350192, + 197867151, + 358899473, + -1, + 933592212, + -1, + 581451722, + 421441058, + -1, + 533213961, + 68298096, + 171996014, + -1, + -1, + 688124499, + 896582579, + 497028329, + -1, + -1, + 26153994, + 340019648, + 879719897, + 901342542, + 21656599, + 130165742, + -1, + 646389361, + 499534378, + 459396603, + -1, + -1, + 687929814, + 393115024, + 266211968, + 85096780, + 252411424, + 370734705, + 224134417, + -1, + 573239025, + 55605935, + 154831524, + 187362199, + 266992358, + 972718299, + -1, + 974368856, + -1, + -1, + 605454356, + 52895894, + 608126807, + 215252022, + 798235173, + -1, + 497997795, + 159803416, + 240690088, + 275678972, + 902432150, + 507591381, + -1, + 153517708, + 530759723, + 148788484, + -1, + 514201368, + 731123903, + -1, + -1, + 706156094, + 485663108, + 695269758, + 9437243, + 470394173, + 909036250, + 206952231, + 278267417, + 454099894, + 250741327, + -1, + 132909547, + -1, + 327326590, + 430123565, + 402593572, + 761812826, + -1, + 890273202, + 507394347, + 597375665, + 612735814, + -1, + 24844883, + -1, + 82220750, + 62360245, + -1, + 204539502, + 373369246, + -1, + 71296786, + -1, + -1, + -1, + -1, + -1, + -1, + 27551561, + -1, + 775704631, + 108448376, + 323710612, + 616161058, + -1, + -1, + -1, + 888274545, + 463382546, + -1, + 143083659, + -1, + -1, + 900448049, + -1, + 588988555, + 406558628, + 254697826, + 3966067, + -1, + 37524575, + -1, + 86366623, + 488152590, + 291362583, + -1, + -1, + 791027696, + -1, + 702026752, + 74384404, + -1, + 803639490, + -1, + 829242845, + 463882377, + -1, + 192568699, + 548996862, + 758358265, + 456223001, + -1, + 850061645, + 208774516, + 71896213, + 506965346, + -1, + -1, + -1, + 823833084, + 205657748, + 542692434, + 293347815, + -1, + 154048506, + -1, + 124276855, + 561437209, + -1, + 343308622, + 114578202, + 909006072, + 832991978, + -1, + 514717890, + 678689314, + -1, + 265559138, + 83041616, + 577639983, + -1, + 474272493, + 514883734, + -1, + 590952514, + -1, + 537857624, + 612910843, + 471124090, + 346021826, + 636563809, + -1, + -1, + -1, + 173323381, + -1, + 586831207, + 960644247, + 662359909, + 77565315, + 477498350, + 571139313, + 401290495, + 118079855, + 705468114, + 679482240, + -1, + 917577584, + 728151525, + 442671483, + 10616744, + 763434442, + -1, + -1, + 233810114, + 807221920, + 497588485, + 127850822, + 839287682, + 286271455, + 598168072, + 973726701, + -1, + 310443392, + 287655414, + 50626283, + 738115521, + 851730399, + -1, + 784819644, + 881960588, + -1, + -1, + -1, + -1, + -1, + 671002218, + 846152907, + -1, + 382813982, + -1, + 474777670, + 105818880, + 893088926, + 581355690, + 550371035, + -1, + 364480082, + 514417047, + 47752083, + 431441743, + 362282338, + 654897465, + 335313432, + 596876847, + 245646063, + -1, + -1, + 250521464, + 319691333, + -1, + 991257305, + 992761951, + 612819405, + 367293852, + -1, + -1, + 500393025, + -1, + -1, + 202126276, + 940318373, + -1, + -1, + 917830865, + 402374365, + 11062450, + -1, + 735973655, + -1, + 915393608, + 110785064, + 156134198, + -1, + 435365066, + 33039822, + 779653354, + 641808649, + 993150674, + 873354793, + 128317368, + 49045175, + 238715494, + -1, + 552776417, + 974708379, + 796083648, + 477542881, + 410382242, + 537631051, + 149581605, + 376671796, + 124939886, + -1, + -1, + -1, + 227696162, + 591522238, + -1, + 199115502, + -1, + 457891524, + 488578097, + 254401258, + 81326111, + 225480423, + -1, + 970169538, + -1, + 949435670, + -1, + -1, + 350066159, + -1, + 306599558, + -1, + 934206056, + -1, + -1, + 544976971, + 942798957, + -1, + -1, + 331981704, + -1, + 872559940, + 680947263, + 19698992, + -1, + -1, + 492764845, + 710804278, + 260449373, + 45903332, + 534313457, + 497227590, + 275084013, + 67848604, + 611045661, + 14826397, + 571925435, + -1, + 914113383, + 668677560, + -1, + 949255099, + 371285070, + 659931449, + 387806676, + -1, + 529954262, + -1, + 559189723, + 21176218, + 548587951, + 365484951, + 757492764, + 320160950, + -1, + -1, + 32409442, + -1, + 284232810, + -1, + 455844766, + 989199673, + 1597030, + 76300227, + 878992407, + -1, + 507956754, + 125764647, + 547575119, + 278108259, + 829824310, + -1, + -1, + 436888965, + 456044270, + -1, + 449863286, + -1, + -1, + -1, + 38823847, + 571104979, + -1, + 979170774, + -1, + 215892688, + -1, + 718324990, + 114192026, + -1, + -1, + 955062062, + 423588031, + 568160445, + 369815673, + 29112867, + -1, + 441297653, + 836253594, + 737914001, + 572606261, + -1, + 471557176, + 690050404, + -1, + 607979920, + -1, + 567400490, + 863022308, + 895488436, + 953723125, + -1, + -1, + 19406457, + -1, + 976264179, + -1, + 783532445, + -1, + 478774542, + 122068185, + -1, + 773540530, + 61791949, + -1, + -1, + 781493207, + -1, + -1, + 625596507, + 984058837, + 786661577, + -1, + 194592, + 414831207, + -1, + 538157834, + 291705258, + -1, + -1, + 308369392, + 524577783, + 499080507, + 960563086, + 551592318, + 99295985, + 422321043, + 706336081, + 966487318, + 552414573, + 37182722, + 11238568, + 923688749, + -1, + 521813594, + -1, + -1, + 554384816, + 274983658, + 259741230, + 129625038, + 596013365, + 626150021, + -1, + 671002747, + 942287552, + 864947315, + 586942192, + 617539088, + 683750808, + 863946230, + 203383461, + 997958343, + 418893610, + 983568933, + -1, + -1, + 815688676, + -1, + -1, + 329925453, + -1, + 779372331, + 34815535, + 690948742, + 496510977, + -1, + -1, + 131379170, + 154409262, + 130317114, + -1, + -1, + -1, + 79541903, + -1, + 849363000, + 746542829, + 356518342, + 310442883, + 250899781, + 894477975, + -1, + 706307963, + 612613924, + 224373076, + 276697941, + 247119915, + 649341940, + -1, + 870691522, + 933094384, + 660984872, + 122395529, + -1, + 122732945, + 502143968, + 789992464, + 551733595, + -1, + 586132722, + -1, + -1, + 898484344, + -1, + 953996649, + 987330086, + -1, + -1, + 425139682, + 361263116, + 958178219, + 96860961, + -1, + -1, + 728595037, + 748307950, + -1, + 156437491, + 652727617, + -1, + -1, + 760277992, + -1, + -1, + 977298108, + -1, + 420739301, + 596515877, + 233518993, + 965598660, + 965914904, + 660183704, + 938005144, + 770273071, + -1, + 643833750, + 66409506, + 570775642, + 813352304, + -1, + -1, + 134548591, + -1, + -1, + 413224307, + 871000430, + 901786920, + -1, + 264716092, + 975924903, + -1, + -1, + 71965511, + -1, + 45166505, + 728334864, + -1, + 548981973, + 583601966, + -1, + -1, + 571373084, + 103267396, + 244993889, + -1, + 378194100, + 364110267, + 701181696, + -1, + -1, + 994458568, + 812180561, + -1, + 777091636, + 79725947, + 972589970, + -1, + 570460372, + -1, + 948211756, + 133952187, + -1, + 677370020, + 884297393, + -1, + -1, + 38490508, + 585611678, + 925283164, + 410032130, + 284869020, + 828064491, + -1, + -1, + -1, + -1, + -1, + 853298771, + 539754494, + -1, + 53545304, + 232407448, + 987392025, + 305316643, + 335248254, + 74417074, + -1, + -1, + -1, + -1, + 291335652, + 542338734, + 327727971, + -1, + -1, + 980267451, + 562473752, + 112734207, + 983570959, + 748780738, + 786893686, + 859193263, + -1, + -1, + 324571881, + 431834849, + 119486784, + 738427702, + 718827314, + 584952431, + -1, + -1, + 423820738, + -1, + -1, + -1, + 695649365, + -1, + 754028483, + 36529500, + -1, + 605592344, + 536492869, + 479010224, + -1, + 730984328, + 705535904, + 348808817, + -1, + 655796373, + 120914411, + 496704456, + 557823298, + -1, + -1, + 436145979, + 888297822, + 535522194, + 102049970, + 28228606, + 619496679, + 474077788, + 893372546, + -1, + 612244782, + -1, + -1, + 965732657, + -1, + -1, + 217097242, + 947520814, + 471124946, + -1, + 864639904, + 575981980, + -1, + 724704010, + 896369195, + 496023, + 760783676, + 782954860, + -1, + 555603731, + -1, + 874238119, + 268180050, + -1, + 96708610, + 393074843, + 36117939, + 623896178, + 873517831, + 800138655, + 288661508, + 993449544, + 479564235, + 744842333, + 782833617, + 808289410, + 395268328, + 567703307, + 78436991, + 670464332, + 191728962, + -1, + 106552624, + 434960124, + 114879220, + 80660508, + 154367938, + 155202814, + -1, + 433977913, + -1, + 754993213, + 639430871, + 194330668, + -1, + 292507392, + 138527060, + 398406197, + -1, + -1, + -1, + -1, + 890560705, + 207546127, + 815552403, + 955550984, + 113837755, + -1, + 562449263, + 209943710, + 145004727, + 228136807, + 154825970, + -1, + -1, + 225142559, + 552153147, + 676130610, + -1, + 70354299, + 338390943, + 389452585, + -1, + 270044487, + -1, + 558131975, + 339873558, + -1, + 17404619, + 894444195, + -1, + -1, + -1, + -1, + -1, + 620137009, + -1, + 120358188, + 184468581, + 86717070, + 192273318, + 755376890, + 952189256, + 172147395, + 558657408, + 241585894, + 968103363, + 662882741, + 55026610, + 938223943, + -1, + 491717202, + -1, + 39408762, + -1, + 160485999, + 91050039, + -1, + 65432377, + 901518415, + 291679355, + 266896980, + 583643318, + 870332614, + 843879711, + 418651287, + -1, + -1, + 758187114, + 7844192, + 933401742, + 873555204, + 228778207, + -1, + 969912263, + 581238572, + 315920606, + -1, + 896749116, + -1, + 907426959, + 382354584, + 968697825, + -1, + 390081316, + -1, + 285009321, + 649011922, + 462827259, + 772480773, + 298249175, + 322656568, + 647505122, + -1, + 89734885, + 277631731, + 728301502, + -1, + -1, + -1, + -1, + 627217699, + 525475134, + 780556248, + -1, + -1, + 130808582, + 153775054, + -1, + -1, + -1, + 785562491, + -1, + 270183368, + 355344523, + -1, + 40233018, + 207886370, + -1, + 761598640, + -1, + 736058520, + 955829448, + -1, + -1, + 732794429, + -1, + 934517835, + 509586581, + 689852783, + -1, + 801062673, + -1, + -1, + -1, + 444008819, + -1, + 416530525, + 720324252, + -1, + 258880944, + 821675617, + 551773778, + 688537313, + 723822345, + 601069651, + 802597641, + -1, + 948954945, + -1, + 6791251, + 380276831, + 502027028, + 532382112, + 659414882, + 977254338, + 839619420, + -1, + 263858677, + -1, + -1, + 282503052, + 456481776, + -1, + 784256513, + 369264719, + -1, + -1, + 666104655, + 170678394, + 248553879, + 770519454, + -1, + -1, + 675280358, + -1, + 893360994, + 884358372, + 683269605, + 341745204, + 613714957, + 472490252, + 613590109, + 281425713, + -1, + 390712608, + 654014847, + 311699872, + 95732708, + 430054585, + -1, + -1, + 152584396, + 985765686, + -1, + 419589077, + 523901246, + 189205538, + 412185487, + 43133660, + 563275495, + -1, + 321881393, + 842194272, + -1, + 810295944, + -1, + -1, + -1, + 446683797, + 743390351, + 64791252, + -1, + -1, + 89112833, + 279258036, + 917775561, + 759822550, + 590174521, + 139747850, + 62556212, + -1, + 448982875, + -1, + 786724490, + 540939814, + -1, + 73301353, + 213649416, + 577149136, + 233953674, + 618760232, + -1, + 556121218, + 210595237, + 845839902, + -1, + 818955509, + 572278715, + 836634876, + 506676765, + 607420869, + 201764280, + 748593120, + 897794204, + 76492258, + 804164745, + 855404581, + -1, + 569278917, + 409840354, + -1, + 232995477, + -1, + 613492159, + -1, + 114061317, + 356825287, + -1, + 449514451, + 1024708, + 61825330, + -1, + 806640542, + 217275344, + 368020060, + 398393933, + 812151719, + 959538449, + -1, + 419532802, + 972444920, + 766082759, + -1, + 873813180, + -1, + 419917461, + -1, + 907178357, + -1, + 26617456, + 669331440, + 750563152, + -1, + 579120449, + 195655907, + 870083248, + 40927902, + 214213978, + -1, + 424123328, + -1, + -1, + 11325555, + 539108068, + 974591984, + 881897227, + 440727104, + 340768902, + -1, + -1, + 565530050, + 789305445, + 967509347, + 834649127, + -1, + 884306115, + 302157053, + -1, + 930375287, + -1, + -1, + 867975751, + 225214580, + 652646874, + 28396655, + 643727742, + 961718963, + 191533285, + 644151854, + 504254946, + 389196046, + -1, + -1, + 629812912, + 869557423, + -1, + -1, + -1, + 391239928, + 570157647, + 378585644, + 947846927, + -1, + -1, + 48145670, + 45428233, + -1, + -1, + 635059715, + -1, + 361856282, + 738002085, + 496903286, + -1, + 615608832, + 834744958, + -1, + 440699584, + -1, + -1, + -1, + 226972805, + 194087046, + -1, + -1, + 291622464, + 528022443, + 435099377, + 677654810, + -1, + 855329644, + 581118471, + 174040108, + 57090069, + 796517303, + -1, + 240348425, + 273303193, + -1, + -1, + -1, + 832841401, + -1, + -1, + -1, + 636285307, + 624957322, + 293567935, + -1, + 291688613, + 921311171, + 780858168, + -1, + 30952907, + -1, + 41939308, + 737002807, + 673408307, + -1, + 628514459, + -1, + 640745038, + 96589226, + 784270174, + 640178108, + 771952446, + 366593138, + 749438265, + -1, + 922106492, + 3876541, + 84545721, + 743389819, + 469340070, + 186391032, + 12180274, + 101573248, + 392126319, + 993395325, + 878493265, + 413954530, + 329257691, + 241157674, + 146014010, + -1, + 247665765, + 337695901, + 748326222, + 421182976, + 163782711, + -1, + 239524467, + -1, + 657099544, + -1, + -1, + -1, + 717403490, + -1, + 187582371, + -1, + 839870741, + -1, + -1, + 919429045, + 800205368, + 48109273, + -1, + 171851369, + 244896517, + 954600658, + -1, + 854582486, + -1, + 271131416, + -1, + 702536051, + -1, + 937469198, + 795007937, + 333852784, + -1, + 600349024, + -1, + 560118692, + 231440098, + 228471877, + -1, + 21908507, + 560861355, + 504038944, + 694031979, + -1, + -1, + 68684443, + 942167850, + 728496756, + 595158469, + -1, + -1, + 321712973, + 956932389, + 886131728, + -1, + 511538752, + 615494506, + 931755278, + -1, + 546883536, + -1, + 301211009, + 596601895, + 634246297, + 129222263, + -1, + -1, + 891793390, + -1, + 661402230, + 733649222, + 137569929, + 726934924, + 850521883, + -1, + -1, + 467880279, + 807461048, + 907005341, + -1, + 918722367, + -1, + 165177331, + 432767911, + 76767854, + -1, + -1, + -1, + 29764335, + 703769610, + 939456497, + -1, + 833088555, + 761611681, + 678408337, + 603351979, + 899268127, + -1, + -1, + 323264461, + -1, + 856381397, + 640149225, + 441158771, + -1, + 675639407, + -1, + 538389626, + 522329991, + -1, + 269363138, + -1, + 796827463, + 921945976, + -1, + 621643910, + -1, + 13740346, + 80404968, + 992625124, + -1, + 964289804, + 922603235, + 635951550, + 343343393, + 70219628, + 872131411, + 745900621, + 620098437, + 866996725, + -1, + -1, + 55162796, + -1, + -1, + 633366493, + -1, + -1, + 460124597, + 95036048, + -1, + -1, + -1, + 157853698, + -1, + 261185268, + 447256477, + 487198246, + 735097608, + 391173953, + 997149246, + 732058528, + 359398188, + 236948880, + 960620524, + 864218773, + 255042473, + 440337541, + -1, + -1, + -1, + 513813147, + 156741849, + 578890601, + 248815041, + -1, + 827548272, + -1, + 584146075, + 730077291, + -1, + 274552951, + 925723196, + 521933644, + 168714399, + 298451626, + -1, + 237491477, + -1, + 847247583, + 601579649, + 681296618, + 450857441, + 117739410, + -1, + 102807869, + -1, + 489974046, + 995951862, + 896812225, + 371588442, + 684065150, + 725741397, + -1, + 221187717, + 458871463, + 811916496, + 21954586, + -1, + 745220999, + -1, + 279490095, + 700589876, + 956108179, + 40985001, + 337323959, + 124396998, + -1, + 202311817, + 1774064, + 447521580, + -1, + 693826107, + -1, + 312486, + 28586608, + -1, + 199651969, + 10866820, + -1, + 160365434, + 787656513, + 339986571, + 117560079, + 659824840, + -1, + 305542257, + 625805569, + 172125498, + 392999996, + -1, + 403217834, + -1, + 952019901, + 590480592, + -1, + 513246817, + 23434608, + 389862768, + 190525613, + 865272708, + -1, + -1, + 183772811, + 60563507, + 218738714, + -1, + 608299554, + -1, + -1, + 196495829, + 188746599, + -1, + -1, + 147988081, + -1, + -1, + 835403351, + 263862139, + -1, + -1, + -1, + 295236899, + 162119215, + 309952991, + 576947152, + 883842777, + 292787906, + 146834603, + 99485434, + 81699217, + 68473622, + 388542261, + 819681366, + -1, + 940186433, + 727574823, + -1, + 458355172, + -1, + -1, + 660478559, + 802344802, + -1, + 998886392, + 790640265, + 821099141, + 454394151, + -1, + -1, + 607027721, + 977151718, + 484927791, + 357019726, + 824184374, + 816930400, + 273137047, + 44681475, + -1, + 612651308, + 505064488, + 750357253, + 502094198, + -1, + 769560329, + 350011891, + -1, + 383072268, + 957739897, + -1, + 605095274, + 78787842, + 28987135, + 104133333, + 141189271, + 352185730, + 451466056, + 788277820, + 75108439, + 717369416, + 279346714, + 438640731, + 480147960, + 433213760, + -1, + 793250749, + -1, + 514284521, + -1, + 904938656, + 986609870, + 941317126, + 491031472, + 527737757, + 522847419, + 42898615, + -1, + 706079956, + 921613185, + 843457735, + 396008123, + 410726666, + -1, + 855721846, + -1, + 309225494, + -1, + 607086031, + -1, + 518726441, + -1, + 258064956, + 281243894, + 335856671, + 727997562, + -1, + 812436660, + 985991350, + 158755693, + 421585066, + -1, + 317635847, + 657211881, + 556034252, + 29339195, + 42222883, + -1, + 789411862, + 573154832, + 652152753, + -1, + -1, + -1, + 349249956, + -1, + 20664718, + 665821327, + 119561532, + 906668729, + 763460330, + 446895900, + 70131248, + 238012749, + 124570484, + 161063561, + -1, + 723020447, + 434201087, + -1, + -1, + 978519279, + 689134165, + 786747234, + -1, + -1, + -1, + 121252967, + -1, + -1, + 79447792, + 30713953, + 165578485, + 736706771, + 707073190, + 684941470, + 398728320, + -1, + 31681487, + -1, + -1, + -1, + -1, + -1, + -1, + 982672150, + 49014504, + 745822539, + 259842036, + 439139409, + -1, + 68379073, + 700991171, + 210023369, + 835559983, + 425930323, + 258214603, + -1, + 477243720, + 110557182, + 781163098, + 694584074, + 995164870, + 635271684, + 111425676, + 298559070, + 808206068, + 519002975, + 75312577, + -1, + 925463549, + 420781736, + -1, + 220086815, + -1, + -1, + 386956124, + 639034599, + 124096233, + -1, + -1, + 567040867, + 894256053, + -1, + 521120776, + -1, + 89027998, + 406453535, + -1, + 820174270, + 866858077, + -1, + 425114151, + -1, + -1, + 868827617, + -1, + 20138008, + -1, + 113962055, + 339843377, + -1, + -1, + -1, + 1645598, + 102973020, + -1, + -1, + 98398659, + -1, + 95937407, + 990764730, + 750524330, + 553277573, + 8572919, + -1, + -1, + 871575235, + 984086663, + -1, + -1, + 221140326, + 183461668, + 47925222, + -1, + 247767356, + -1, + 888862729, + 876860680, + 534422021, + 808067819, + 245230167, + 249553287, + 791010942, + 446440018, + 979373145, + 840177889, + 611405228, + -1, + -1, + 890517863, + -1, + 412624835, + -1, + 240533176, + 433521397, + 314178537, + 728826836, + 256729959, + 993035518, + -1, + -1, + 805821482, + 8497740, + -1, + -1, + 448975409, + 685026599, + 920284290, + 357443529, + -1, + 914615112, + 459965550, + 871612968, + 493944804, + 377584069, + 156378146, + 950015691, + -1, + 652350919, + 93321546, + 779488024, + 480260638, + -1, + 927899659, + 56365622, + -1, + -1, + -1, + 743648754, + -1, + 906527097, + -1, + 605731467, + -1, + -1, + 948948119, + 397620124, + 94599122, + 822367286, + 196038072, + -1, + 153215744, + 796367539, + -1, + 282494152, + 455984941, + 186033216, + 24628727, + 678678579, + 63816107, + 806671527, + -1, + 831148722, + 906790406, + -1, + 475365557, + -1, + 717040797, + 544223488, + 458756977, + -1, + 145786986, + 68043232, + -1, + 475198182, + 207570540, + 226980560, + 69121646, + 136586259, + 535798151, + 248645206, + -1, + -1, + 474958792, + 545143351, + 820376844, + 239927799, + 856672681, + 936835091, + 897547174, + 624232587, + -1, + -1, + 825573341, + 582073056, + -1, + 1672949, + -1, + 67561706, + 563746005, + 705074412, + -1, + 93428907, + 453724318, + 605672535, + 146137665, + 806865632, + 929300838, + -1, + 408049964, + -1, + 60316114, + -1, + 511515618, + 767343197, + -1, + 245634423, + -1, + 535398628, + 868986751, + 571339545, + 477858590, + 733972979, + 730275292, + 619903500, + -1, + 848643989, + 123598250, + 666038553, + 206250495, + -1, + 809017945, + 824377915, + 608233466, + 871867777, + 689612678, + 269766626, + -1, + -1, + 659886500, + 914377838, + 706075556, + 724059974, + 53190485, + 286957455, + 460115496, + 752275395, + 477705405, + 125237448, + 373449501, + 944826687, + 787949844, + -1, + -1, + 533344513, + 892471714, + -1, + 222575886, + 397051477, + -1, + -1, + 834354763, + -1, + 643150479, + 405482310, + 922071162, + -1, + -1, + 503168155, + -1, + 99333590, + 972191134, + -1, + -1, + 672295293, + -1, + 191048161, + 510347148, + -1, + 928452191, + -1, + 93027556, + 500614753, + 919671445, + 98959936, + 494303841, + 711437442, + 994075279, + -1, + 175550450, + -1, + 693118591, + 759243529, + -1, + 814454049, + 901524387, + 509430183, + 177781064, + 463850610, + -1, + 785724057, + 890108364, + 787517582, + 653425366, + 104097705, + 731789933, + 520935440, + -1, + 164747862, + 650586909, + -1, + 74517166, + 748299285, + -1, + -1, + 422884928, + 91853698, + 974975209, + -1, + 825001638, + 62672314, + 703471597, + 895116754, + 202269626, + -1, + -1, + -1, + 670489109, + 979007271, + -1, + 239303707, + -1, + -1, + 797248201, + 210595146, + 213221315, + 185079949, + 287579665, + 194521341, + -1, + 318327508, + 703078418, + 316331109, + -1, + -1, + -1, + 980660211, + -1, + 978018138, + 351756034, + 369932288, + 778573445, + 992582260, + 693255266, + 47080062, + 794201226, + 459339528, + 493688510, + 700290982, + 806580205, + -1, + -1, + 549616496, + 662384915, + -1, + -1, + 140078660, + -1, + 849720221, + 193303102, + 860399187, + 726158937, + -1, + 96117503, + 308182671, + 414008808, + 918822107, + 752256474, + 711800752, + 608882141, + 677442440, + -1, + 594262476, + -1, + 86564001, + 584392206, + 151571249, + 832750424, + -1, + 325712237, + -1, + -1, + 290054931, + 424460908, + 795552426, + 680676375, + 759884100, + -1, + -1, + -1, + 525519056, + -1, + 235285157, + 62281974, + 557120892, + 138596742, + 930548802, + 301074102, + 542885043, + 251095434, + -1, + 188755033, + 750740366, + 249050467, + 641052012, + 446171202, + 204937280, + 825645650, + 714552359, + -1, + -1, + 719234205, + -1, + 166473107, + -1, + 958647590, + 63390024, + 715299940, + -1, + 107548051, + 508968423, + 267444975, + 697638567, + 1869438, + -1, + -1, + 26185459, + 415912891, + 343451405, + 220012743, + 163339057, + 81195691, + 972116264, + -1, + 748063394, + 674692402, + -1, + -1, + 146548445, + 655636685, + 131849497, + 689481654, + -1, + 244241921, + -1, + -1, + 459019693, + 539990417, + -1, + 934060383, + 523809802, + 662756961, + -1, + -1, + 744106781, + -1, + 444997868, + 292116487, + 359494016, + 205097927, + -1, + 334091786, + 288456792, + 916947004, + -1, + -1, + -1, + 173796237, + 716883158, + 922832032, + -1, + 667407279, + -1, + -1, + 60203693, + -1, + 832493058, + -1, + -1, + -1, + 342606149, + -1, + 434565753, + 369111536, + -1, + 802475093, + 63551022, + -1, + 90968964, + 506176876, + -1, + 862892134, + 496291543, + 839973319, + -1, + 321324030, + 748315519, + 969437105, + 562730101, + 25125863, + 646983140, + 925039325, + 965414256, + 33697192, + 48666217, + 676919720, + 704204292, + -1, + 210984486, + 408006322, + 792826891, + 772192477, + 175294684, + 741879147, + 61914593, + 693018510, + 303262564, + 512396979, + -1, + 63550955, + 295854218, + 193202608, + -1, + 636497940, + 428070633, + -1, + -1, + 289054958, + 176542482, + -1, + 196185893, + 115509194, + 977525054, + -1, + -1, + 267737118, + 690318803, + 358911168, + -1, + 152179137, + 404075575, + 503680216, + 413382209, + -1, + -1, + -1, + 107331990, + -1, + 932972708, + 757996406, + -1, + -1, + 901040811, + 873225109, + 13232013, + 234860317, + 888528343, + -1, + -1, + 264000210, + 995260301, + -1, + -1, + 556034851, + 561330537, + -1, + 40364412, + -1, + -1, + -1, + 43971751, + -1, + 748835451, + -1, + 34070149, + 488718556, + 80482836, + 208544294, + 146906517, + -1, + -1, + 252502811, + 40717418, + 675095369, + 94472068, + 523218131, + -1, + 12212048, + 157613161, + 161783928, + 717131604, + 220400158, + 362017429, + 94224332, + -1, + 502420755, + 261440904, + -1, + 490641709, + 114115339, + 639834198, + -1, + -1, + 776371121, + -1, + -1, + 501816587, + 832263544, + 350175972, + -1, + 964024067, + -1, + 396436126, + 729835146, + 241447132, + -1, + 583576189, + 198464788, + -1, + -1, + -1, + 276818270, + 640034038, + -1, + 893100935, + 433004781, + -1, + 303144657, + 742614820, + 512762348, + 483406936, + 802727345, + 927004485, + 126452376, + -1, + 586390435, + 920057089, + 832115362, + 894870709, + -1, + 393474028, + 452145905, + -1, + 360286617, + 302944728, + 93097199, + 840247741, + 785904924, + 936960672, + 892042912, + -1, + 247516513, + 922131599, + -1, + 535717990, + 758019222, + 956855930, + 818643272, + 347175098, + 380216820, + 23499788, + 409011694, + -1, + -1, + -1, + 785705597, + -1, + 1690218, + 429718743, + 756757420, + 769906293, + 296015920, + 556024803, + 183548551, + -1, + 730384123, + 430240308, + 363669099, + 513080407, + 230115405, + -1, + 684083630, + 650913680, + 664700423, + -1, + 937283173, + 76698289, + 361388227, + 878923357, + 28780161, + 109133682, + 60709509, + -1, + -1, + -1, + 394940197, + 797237849, + 984475136, + 720052328, + 213634305, + -1, + 349714266, + 421681159, + 550793056, + 526365139, + 499507278, + -1, + 39977080, + 177341081, + 570085875, + -1, + 456838427, + 397596899, + 630749793, + -1, + -1, + 269838870, + -1, + 841609825, + 161761703, + 364199070, + 453121409, + 123985118, + 411224883, + -1, + -1, + 525690939, + -1, + 520535004, + 871099577, + 496841816, + -1, + -1, + -1, + 313208219, + 288577352, + -1, + 793839732, + 341885293, + -1, + 761961588, + 594270749, + 315850402, + -1, + 26298934, + -1, + -1, + 29695141, + 725959396, + -1, + 354931720, + 741560715, + -1, + 938947744, + 545422950, + -1, + 350920985, + 797304432, + -1, + -1, + 409855418, + 900208137, + 357659574, + 466412964, + 576520158, + 814534411, + -1, + 811480340, + -1, + -1, + 122104306, + 35948091, + 348157981, + 523367815, + 719735053, + 137115338, + 408057955, + -1, + -1, + 472917622, + -1, + 135912842, + 658669789, + -1, + -1, + 341601634, + 570982376, + 261558225, + 307158701, + 874655337, + 68111259, + -1, + -1, + 265164650, + -1, + 809413718, + 599513685, + 417120664, + -1, + -1, + 675152514, + 556512466, + 420786309, + 314229712, + 577590365, + -1, + 944909384, + 611097366, + -1, + -1, + -1, + 633412065, + 714786923, + -1, + 767269181, + -1, + -1, + 283207891, + -1, + 911625070, + -1, + -1, + 295042995, + -1, + -1, + -1, + 768279323, + 931246139, + 832984209, + 251902660, + 638142785, + -1, + 742553173, + 237235967, + 592416780, + 955610091, + 848920585, + -1, + 899146595, + 911769535, + -1, + 750212115, + 724271004, + -1, + 886918351, + -1, + 516071780, + -1, + 25860784, + 274120250, + 756676025, + 578562691, + 659441050, + -1, + 733099495, + 751485799, + -1, + 163564672, + 200981903, + 480679255, + 312492109, + 168274088, + 777860720, + 628617262, + 334128147, + 548469133, + 452723430, + -1, + -1, + 510381252, + -1, + 821044830, + -1, + 894907432, + -1, + -1, + 607609579, + 43363710, + -1, + 679899950, + 800608461, + 295251816, + 881248878, + 796834216, + 925302670, + 86621585, + -1, + -1, + 840322473, + 572127019, + 725677672, + 502676630, + 984686272, + -1, + 639230257, + -1, + 845075616, + 738635597, + -1, + 932732627, + 664632215, + 944533519, + 139645239, + 203028595, + 944293718, + 912399466, + -1, + 551748512, + -1, + -1, + 106732316, + 638648196, + -1, + 770797580, + 823222421, + 242066965, + 814526686, + 69552724, + 197347222, + 995345021, + -1, + 332811376, + -1, + 146777664, + 389515093, + -1, + -1, + -1, + -1, + -1, + 725260785, + 634993623, + 486317244, + 251841020, + -1, + 126327498, + 738488747, + 309171490, + -1, + 857930689, + -1, + 72305177, + -1, + -1, + 230050705, + 865359769, + 242827665, + 779851967, + 670847115, + -1, + -1, + 623184061, + 202573657, + 428956079, + -1, + 191152945, + -1, + 169275740, + 195535678, + 700240996, + 181003908, + 99768080, + -1, + -1, + 213390584, + -1, + 552734329, + -1, + 845006945, + 619180598, + -1, + 674633991, + 966420845, + -1, + 645143113, + 405122978, + 971095364, + 880002578, + -1, + 84791230, + -1, + 901297467, + 76653453, + 254738985, + 653108395, + 901220468, + 20458806, + 579051489, + -1, + 580045127, + 52669060, + 209509653, + -1, + 642736579, + 438880762, + 769411099, + 979068257, + -1, + -1, + 510552965, + 574550776, + 575022683, + 182497094, + 299932662, + 545512960, + 828624585, + -1, + 679547114, + 496383369, + 38464253, + 935270035, + 404408464, + 206554313, + 711680398, + 629578335, + 603624436, + 353385759, + 93445656, + 674419567, + 729482920, + 211760563, + 108889521, + -1, + 696012085, + -1, + -1, + 168109362, + 564219320, + 704208305, + 827865518, + 717468119, + 609160825, + -1, + -1, + 584157072, + 686742571, + -1, + 425871141, + 485544139, + -1, + -1, + -1, + 984449831, + 139481066, + 366786941, + -1, + -1, + 49463258, + 259914961, + 834187330, + 668190282, + 435336148, + 703187433, + 392312492, + -1, + 748386530, + -1, + 607013903, + 291744681, + -1, + 991993173, + 251611725, + -1, + 239321026, + 712850250, + -1, + 381454105, + 314065340, + -1, + 300692491, + 561996830, + 580478809, + -1, + 114705569, + -1, + -1, + 874271843, + 749955846, + -1, + 575056226, + 199606283, + -1, + -1, + 210569772, + 829590260, + 549578726, + 622927810, + 73996978, + -1, + 285187422, + -1, + -1, + 69574179, + 180964449, + 109150673, + 13154639, + 731158049, + 210622707, + 809844063, + -1, + -1, + 329018614, + 682081529, + 258251313, + 71886573, + 747934221, + -1, + 582068481, + -1, + 343619449, + -1, + -1, + 197428406, + 689853884, + 505462903, + 480497703, + 722352683, + -1, + -1, + 619027756, + 890335842, + 981546157, + 630139984, + -1, + 366778665, + 807515806, + 838190244, + 22220819, + -1, + -1, + 234213155, + -1, + 837343790, + 787378264, + 707902045, + -1, + -1, + 741781088, + 302204972, + 570037029, + 12837123, + 313781416, + 472200069, + 15617579, + -1, + 272738987, + 214472109, + 974039741, + -1, + 842543420, + 465434952, + -1, + 453850048, + -1, + -1, + 547740782, + 900898349, + 958987469, + -1, + 743793462, + 506498529, + 460665536, + 32600870, + 27714197, + -1, + -1, + 955438864, + 670362804, + 421895454, + -1, + 752344878, + -1, + 820538595, + -1, + 286600536, + -1, + 900572944, + 74499864, + 454943191, + -1, + 643189660, + 821957568, + 821761301, + 7917581, + 326162176, + -1, + 263086278, + 792497779, + 981119537, + 425748304, + -1, + 825231622, + 11041508, + 36775798, + 846770114, + 760087424, + -1, + 650026463, + 151006182, + -1, + 842494452, + 10275906, + 683391383, + 977978744, + 309662005, + 42854753, + -1, + 371510929, + 304905862, + 685221237, + 329112359, + 874880185, + 195810923, + -1, + 669338547, + 58344485, + 772760795, + 678081091, + 582746109, + 821958850, + 616548567, + -1, + -1, + -1, + 266476605, + 439516711, + -1, + -1, + -1, + 85452826, + 11986310, + 529476599, + -1, + 597468867, + -1, + -1, + 236175764, + 57910570, + 841523741, + 345740719, + 893650257, + 102409401, + -1, + -1, + 652100069, + 735599602, + 434833922, + 639380096, + 229960639, + 194197592, + 113653801, + 82514167, + 191846889, + 724426316, + 332794021, + 629102689, + 304531700, + 403659246, + 62909345, + -1, + 657665424, + 163647910, + 486206199, + 230077658, + 956122258, + 508435538, + 466328776, + 603314795, + 589129434, + -1, + 614999907, + 115427404, + -1, + -1, + -1, + -1, + -1, + 713391627, + 994981038, + 664754256, + 950040022, + -1, + 480570767, + 790744770, + 25433369, + -1, + -1, + -1, + -1, + 322471796, + 150467066, + 887550874, + 904925821, + -1, + -1, + -1, + 500772330, + 51771729, + 53737723, + 124110981, + 561926514, + -1, + 372468660, + -1, + 714809686, + 920624733, + 267787929, + 522534969, + -1, + 919385850, + -1, + 470354889, + 761289460, + 895398203, + 330608265, + -1, + -1, + 631345002, + 294462113, + 527919530, + -1, + 661921727, + 805967025, + -1, + -1, + 649758942, + 970230689, + -1, + 93505513, + 975715921, + 663421399, + 178141404, + 714166871, + 830393221, + 532049601, + 38097759, + 967335515, + 489264020, + 127708556, + 738661733, + 419701551, + 549325735, + -1, + 117522827, + 378763586, + 17782664, + 132881791, + -1, + 664885510, + -1, + -1, + 242295731, + -1, + 420498376, + 920961906, + 622986848, + 972321212, + 289081240, + 234685525, + 408594472, + 274327142, + -1, + 904790170, + 390044427, + -1, + 270027063, + -1, + 825314827, + 997586785, + 572797909, + -1, + 456411072, + 840141143, + -1, + -1, + -1, + 982417252, + 258278680, + 900352878, + 252969202, + -1, + -1, + -1, + 865579817, + 462814904, + 919734209, + 319580795, + -1, + 567458576, + 992525884, + 83051249, + -1, + -1, + 864660977, + 944560889, + 23216190, + 49802605, + -1, + 900749698, + -1, + 617930564, + 922372135, + 952057933, + 699350478, + 335563444, + 885478583, + 953092566, + -1, + 179251126, + 166528766, + 549517293, + 940967769, + 225194801, + -1, + -1, + 318836733, + 356209758, + -1, + 962688861, + -1, + 77459028, + 672357421, + 369463184, + 93368031, + 753276002, + 510010183, + 356193754, + 283918618, + 143753122, + -1, + -1, + -1, + 664989355, + 762023258, + 150438702, + 881785932, + -1, + -1, + 893988266, + 414886556, + 953105966, + -1, + -1, + -1, + 44764570, + -1, + -1, + 6657510, + 948324081, + 362171749, + 21720530, + 450939816, + 228579980, + -1, + 108657003, + 460237461, + 254073741, + -1, + -1, + -1, + 376794976, + -1, + -1, + 279508955, + 807475430, + 828038833, + 794009676, + 481941838, + 220431570, + 164156178, + 500800105, + 988714269, + 553970396, + -1, + 666385178, + -1, + 270649145, + -1, + 172004960, + 643430515, + 56793978, + 84683432, + 348279485, + 839119709, + 465789958, + 429668891, + -1, + -1, + 605296107, + 262823192, + 645544393, + -1, + -1, + 735030295, + 427548834, + -1, + 946666197, + 881410971, + 222904180, + 402839553, + 286213560, + 229012327, + 887146864, + 686589583, + 15963435, + 557067512, + 177656902, + 630968791, + 282010173, + 180612212, + 141549565, + 450932357, + 895719818, + 453294675, + 15125937, + -1, + 63896598, + 50909283, + 113725012, + 10943189, + -1, + 945419505, + 792564057, + 36829513, + -1, + -1, + 923152279, + -1, + 364515466, + -1, + -1, + 654909919, + 593941591, + 203412311, + -1, + 746581524, + -1, + 217276950, + -1, + 966113409, + -1, + -1, + -1, + 217762585, + 451902888, + 874984631, + 630966204, + -1, + -1, + -1, + -1, + 780126585, + 947343170, + 195801504, + 863038536, + 798231967, + 934523643, + 938865601, + 833947966, + 839923216, + 138420814, + 912909909, + 73751471, + 793854391, + 75883821, + 972688469, + -1, + 629058854, + 252625596, + 449261255, + 689357562, + 543145929, + 6609389, + 3635008, + 814953815, + 506576276, + 886617679, + 382457738, + 917419112, + -1, + 132868692, + 170201606, + 977375971, + 56339595, + -1, + -1, + 171494840, + 604978308, + -1, + -1, + 174322929, + 262257937, + -1, + 498000399, + 751825252, + 210381532, + -1, + -1, + 472967076, + 708048638, + -1, + 431116794, + 609608954, + 356327929, + 329395225, + 415491002, + 14021976, + 355312021, + 72952969, + 306137013, + 859191686, + -1, + 758563964, + -1, + 227701499, + 344574852, + -1, + 394667435, + -1, + 79517785, + 484943174, + 23661995, + 577884727, + 585894852, + 346924187, + 125316430, + -1, + 880851672, + 479534572, + 900329405, + -1, + 378634432, + 982987522, + 384226277, + 45827334, + -1, + 979481375, + -1, + -1, + -1, + 344612869, + 521263840, + 566096143, + -1, + 593392108, + 358313053, + -1, + 151482299, + -1, + 143443825, + 287668201, + 621890611, + 816107110, + -1, + -1, + 141254003, + 292744691, + 469568762, + -1, + 165795731, + 616214930, + 388053644, + 89337400, + -1, + 488263002, + 911572952, + -1, + 27869284, + 27232943, + -1, + 158580953, + 866687687, + 301614259, + -1, + -1, + 855990226, + 890960158, + 243548594, + 14044258, + 178210749, + 135737096, + 284466304, + -1, + -1, + 217847179, + 532827840, + 776892458, + -1, + 618713690, + 745939942, + -1, + 880231289, + 487651644, + 422592843, + 320141003, + -1, + -1, + 805293928, + 281136990, + 250599800, + 361614483, + -1, + 314356942, + -1, + -1, + 272128789, + 514689058, + 607974667, + 753121848, + -1, + -1, + 262387306, + 489184262, + 407375072, + 347047344, + 898746724, + 818133676, + 314057652, + 297392467, + 166341245, + -1, + 509656955, + 537055036, + -1, + 190496149, + 862145282, + -1, + -1, + 978017192, + 8813685, + 438958314, + 106645597, + 761769397, + 130975352, + 920616640, + -1, + -1, + 280528777, + 659240165, + -1, + -1, + 777867048, + 415324492, + 170972707, + 434177155, + 996340500, + 603713237, + 929137709, + 365412828, + -1, + 190238254, + 126508020, + 682336192, + 805531073, + 616876422, + 417523727, + -1, + 285817539, + 461030740, + 338091869, + 787647641, + 792386617, + -1, + 639610886, + 253125961, + -1, + 85578047, + 646329628, + 930958950, + -1, + 920318915, + 358925998, + 511377194, + -1, + 41807067, + 26124562, + 908073954, + 826588688, + -1, + 684920389, + -1, + 770767095, + 430427541, + 990270856, + 827689221, + 185758898, + 969338752, + -1, + 472711750, + 563426236, + 93651100, + 834467505, + 439190878, + 337387051, + 818470280, + 731289245, + -1, + 23432231, + 232758739, + 634745811, + 637464997, + -1, + 566769897, + 542296542, + 512833667, + 764178297, + -1, + 732277945, + 612628920, + -1, + 59591220, + 921872752, + -1, + -1, + 100407950, + -1, + 920056861, + 402666864, + -1, + -1, + 476696739, + -1, + -1, + 30791260, + 448652915, + -1, + 627283364, + 255786068, + 427334920, + -1, + -1, + 567777203, + -1, + -1, + 824954757, + 855441128, + -1, + -1, + -1, + -1, + 555821918, + 246741051, + 584609343, + -1, + -1, + 964172564, + 15541815, + -1, + 388371111, + -1, + 686078460, + 727963792, + -1, + 94085027, + -1, + 691879728, + 978887651, + 534617666, + 918767019, + 11522611, + 54782866, + -1, + 150281675, + 767346424, + 120057166, + 345874126, + 822972533, + 612354873, + 592153594, + -1, + 572736430, + 134950731, + 469729643, + 211583964, + 144589103, + 512623443, + -1, + 973785726, + 276487673, + -1, + 979034185, + 140278679, + 162493796, + 534280445, + -1, + 896431331, + 129622425, + -1, + 169650114, + -1, + 412832516, + 659829290, + 637619263, + 653767954, + 158433757, + 724548739, + 713721452, + 396255389, + 652232670, + 248688480, + 447008318, + 334156058, + -1, + 627844603, + -1, + 703335472, + 293769167, + 283146609, + 443549456, + 168412542, + 356144228, + -1, + 929344045, + 156767620, + 750577784, + -1, + -1, + -1, + 621698066, + -1, + -1, + 164877274, + -1, + -1, + -1, + -1, + 934190523, + 133702328, + 991263949, + 817496057, + 812714413, + -1, + 627883182, + -1, + -1, + -1, + 332449017, + 591613641, + -1, + -1, + -1, + 524839060, + -1, + 345891001, + 304614531, + -1, + 317611688, + 189348294, + 373363607, + -1, + -1, + 938264945, + 298708653, + 70938638, + -1, + 392137859, + 994295273, + -1, + 791987753, + 799785169, + 939469963, + -1, + 964766559, + -1, + 647405137, + 189030102, + 991630181, + -1, + 263363294, + 85360927, + 956122731, + 194656850, + 358366245, + 781479862, + 386986800, + -1, + -1, + -1, + 101290253, + -1, + -1, + 322868285, + -1, + 64617539, + 91460238, + -1, + -1, + 934204233, + 276253003, + 459508202, + -1, + 50018364, + 199237321, + -1, + -1, + 599446204, + 591464993, + 777915658, + -1, + 789930337, + 337857824, + -1, + 563118214, + -1, + 299998548, + 697202137, + 634669420, + 553043227, + -1, + 833110131, + -1, + 329576782, + 163136554, + 710866272, + 845442158, + -1, + -1, + 929234549, + -1, + -1, + -1, + -1, + -1, + 228610920, + 382397037, + 126776990, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 610704348, + -1, + 436842862, + -1, + 732947044, + 443797034, + -1, + -1, + 190136637, + 722380835, + 678012511, + -1, + 897076709, + 560450791, + -1, + -1, + 276954320, + 53180246, + 652183964, + 696407645, + 940439891, + 403247273, + 486657568, + -1, + 843810884, + -1, + 698354457, + -1, + 614069564, + -1, + -1, + 820657129, + -1, + 850821091, + 778077696, + 336101960, + 331633522, + 928935388, + 458621628, + -1, + -1, + -1, + -1, + 899457422, + 920501861, + -1, + 518427847, + -1, + -1, + 680024135, + 341421020, + 660268548, + 565948115, + 195685778, + 536639731, + 638500759, + 471255678, + 486969171, + -1, + 861010585, + -1, + 994742661, + 314633894, + 865421914, + 138915298, + -1, + 632853491, + -1, + 726917069, + 217565330, + 934241122, + -1, + -1, + 445503487, + 959709369, + 897212176, + 991319579, + -1, + -1, + 756332286, + 87301006, + 557162446, + 51152621, + 694767552, + 53288749, + 897486739, + -1, + -1, + 737881340, + 142784018, + 811903447, + 707587414, + -1, + 594769615, + 37100455, + 680514595, + 491244920, + -1, + 783815098, + 509698411, + -1, + 519638984, + -1, + 425015620, + 86861561, + 683016225, + -1, + 910310528, + -1, + -1, + 52975291, + 142406860, + 553294833, + 707418643, + 224032027, + -1, + 438385216, + -1, + 816009957, + 790061773, + 455567050, + 355426603, + -1, + 841606901, + 639633087, + 437462321, + 813112710, + 301778060, + 243227496, + -1, + 960278270, + 525074287, + 263849340, + 356488907, + -1, + 700937055, + -1, + 706505023, + 469159264, + 920622903, + 274698323, + 750217574, + 290162803, + 797858886, + 765558915, + -1, + 639588314, + -1, + 652221127, + 672218377, + 441306763, + 450496128, + 85721488, + -1, + 334461679, + 29449284, + 432060940, + 605001429, + 159313852, + 885350552, + 482027008, + -1, + 882599937, + 674306682, + 813080402, + 356833197, + 973313574, + 88348844, + 453133284, + 852597961, + 269548734, + -1, + 40614167, + -1, + -1, + 66969695, + 184302686, + -1, + -1, + 494171315, + -1, + 926135230, + -1, + 831778076, + -1, + -1, + 968174269, + 76848435, + 965165087, + -1, + -1, + -1, + -1, + 295100205, + 388199845, + 318058367, + 192176007, + -1, + 80102121, + -1, + 220628842, + 471897443, + 451550261, + 223621528, + 732737615, + 822919918, + 652186834, + 187371116, + -1, + 925080273, + 918569574, + -1, + 114987851, + 701927241, + 120852567, + 99284282, + 734220206, + -1, + 585929474, + -1, + 680198877, + -1, + -1, + 443973300, + 484361143, + 88514562, + 707081631, + -1, + 789215098, + -1, + -1, + 366325602, + 1684332, + -1, + 968764553, + -1, + 979020016, + 729128750, + -1, + 303120626, + 97484892, + 725140727, + -1, + 746046111, + 87323802, + 586757152, + 791177980, + 434418174, + 438641040, + -1, + 843816612, + -1, + -1, + 326546469, + 772522626, + 720342856, + 158158266, + 325223770, + 139019637, + -1, + -1, + 710543868, + 557272161, + -1, + -1, + 764115023, + -1, + -1, + 675817378, + 787792492, + -1, + 29534507, + 719103004, + 330175406, + 946929039, + -1, + 512704147, + 314942323, + 412899227, + 540015145, + 261081825, + 95598059, + -1, + -1, + 672672949, + -1, + -1, + 278159437, + 305197826, + 247063258, + 525345513, + 517591612, + 770230016, + 528232064, + 58285321, + 791838959, + 471262431, + -1, + -1, + 836818012, + 815593106, + 702428461, + 380231156, + -1, + 813957179, + 885858395, + 911842058, + 739834423, + 165427012, + 641500073, + 156528655, + 473077629, + 358950545, + 997323272, + 579581706, + -1, + -1, + 950900936, + 47795691, + 745952295, + 581542656, + 117775286, + 545629288, + -1, + -1, + -1, + 67226597, + 867553485, + 289067718, + -1, + -1, + 210988077, + 266389420, + -1, + -1, + 109318097, + 589678511, + 361048111, + 439689370, + 521575957, + -1, + 537346679, + 437264739, + -1, + 878940154, + 250319259, + 38532620, + 509671211, + -1, + 453437816, + 937825558, + 400808369, + 149630482, + 734007041, + -1, + 588728588, + -1, + -1, + -1, + 473747177, + 831036486, + 974141308, + 126211478, + -1, + 372196596, + 972697712, + 869964568, + -1, + 257843245, + 41266699, + 263438670, + 48935214, + -1, + 75516936, + 981159706, + 286499532, + 348589300, + 764446383, + 567149, + -1, + 310152126, + -1, + 792301679, + 283095347, + 283048942, + -1, + 707699424, + -1, + -1, + 337069851, + 244129608, + -1, + -1, + 879249660, + -1, + 383769618, + 433665166, + 839074089, + -1, + -1, + -1, + 495147919, + 143338021, + 55512816, + -1, + -1, + 129261928, + 113188471, + 482238322, + 825677544, + 813681539, + 730281121, + 830052425, + 56494278, + 292635012, + -1, + 492447765, + 968087869, + 26204381, + 640491700, + 966832726, + -1, + 230189290, + 180873462, + 728437424, + 86881442, + 405383588, + -1, + 868056589, + 241397093, + -1, + -1, + 194897390, + 712515865, + 753883549, + -1, + 531105898, + 341897904, + 677400508, + 47084654, + -1, + 891748903, + 298793218, + 131309890, + 786684336, + 444218850, + 947166767, + 587025737, + -1, + 806694233, + 608023733, + -1, + 142487558, + -1, + 289612898, + -1, + 528893235, + 149767017, + 647309312, + 367189553, + 526553843, + 44636011, + 670970900, + -1, + 694863361, + 790615025, + 838715462, + 838017385, + 865078258, + 716853882, + -1, + 549392341, + 477175982, + 817130393, + 696407769, + 16218149, + -1, + 574252941, + -1, + 25034784, + 24370312, + 39121875, + 572435097, + 331220864, + 166455869, + -1, + 670746688, + 308977609, + 166382236, + -1, + 946089947, + -1, + -1, + 625289527, + 201467954, + 127407870, + 819535900, + 297040392, + -1, + -1, + 128858260, + 401708557, + -1, + 442294540, + 569103165, + 241681291, + 17250273, + 311527559, + 54179910, + 834976533, + 953458736, + 908058471, + -1, + 875229426, + -1, + 413608757, + 922387321, + 363751494, + 377539228, + 507342855, + 86132048, + 528275519, + 674293402, + -1, + -1, + 619586315, + 682248213, + 558811417, + 261695622, + 165913429, + -1, + 40743946, + 389523343, + 975810514, + 884785551, + 242821906, + 674922594, + -1, + -1, + 354473941, + 472099673, + 251363448, + 284373612, + -1, + 489558508, + 104753662, + 914573108, + -1, + 652774537, + 55555401, + 522736560, + 61978449, + -1, + -1, + -1, + -1, + -1, + 483300431, + 239361729, + 301639132, + 560139333, + 618586656, + 660129206, + 335513499, + 232474440, + -1, + 99693540, + 660654093, + -1, + -1, + 855543010, + 194140144, + 968712609, + -1, + 14954961, + -1, + -1, + 327324384, + 361285151, + 124987405, + 608016660, + 447330298, + -1, + 45475275, + -1, + 931525826, + 360032931, + 7483667, + 893918553, + -1, + 487419932, + 588104678, + -1, + 811591515, + -1, + 804579743, + -1, + 710486060, + 298999275, + 78915620, + 265103012, + -1, + 892199979, + 748955427, + 422916922, + 506806121, + 655361592, + 402327816, + 120153780, + 685508073, + 935122191, + 587595956, + 662741720, + 952873543, + -1, + 985734279, + 418020694, + 570110310, + 283169977, + 111393983, + -1, + 482124988, + 409685626, + 975941979, + 404641810, + 353421675, + 128777307, + 404034454, + 786395341, + 77587680, + 981024538, + 243633705, + 201312742, + 163652818, + -1, + 88830715, + 259141238, + 25061762, + -1, + -1, + -1, + -1, + 312837958, + 139197128, + 858512382, + 671451899, + 775566025, + 376607240, + -1, + 772632680, + -1, + 932864144, + 526114569, + 876087783, + -1, + 915867437, + -1, + 526776951, + 588977742, + 932520089, + 111977191, + -1, + -1, + -1, + -1, + -1, + -1, + 202545814, + 8778311, + 299775899, + 558885699, + 275321854, + 733273928, + 529949498, + 517368714, + -1, + -1, + 86818122, + 124221691, + -1, + 805300772, + 746425303, + 192869101, + 31539261, + 888731916, + 947954163, + 221698423, + 873730275, + 296488018, + -1, + 999968190, + 767043796, + -1, + 841392162, + -1, + 282808220, + 773795457, + 77647472, + -1, + -1, + 853679704, + 819615061, + 102656024, + 576228476, + 466845057, + 565006166, + -1, + 966002315, + 130733829, + 831934351, + 800834254, + 797438725, + 129622672, + 949549475, + 869786195, + 425792551, + -1, + 600414605, + -1, + 123556828, + 63527129, + 242073201, + -1, + -1, + 68741515, + -1, + -1, + 81682897, + 914819273, + 338701038, + 877737312, + -1, + -1, + 835073034, + 714692021, + -1, + 95428734, + 893879816, + 578626815, + 935839002, + 95479029, + 643956299, + -1, + 116791144, + 364731976, + -1, + 657500620, + -1, + 141701972, + 104494421, + 435050572, + 342318098, + -1, + -1, + 219780303, + 890004685, + -1, + 265591203, + -1, + -1, + 256328066, + 23265415, + 7559896, + -1, + 268674889, + -1, + -1, + 752462494, + -1, + 838306507, + 564746772, + 186398524, + 549261782, + -1, + 86508271, + 667295667, + -1, + 654078779, + 427549142, + 823342252, + 61631470, + 724042136, + 211493417, + 430990651, + 347816689, + 901028762, + 448615084, + 725800830, + -1, + 248225935, + 64850541, + 482508921, + 384633836, + 351784896, + 599846297, + 318934598, + 759285699, + 206098421, + 488916414, + 545780392, + 575305669, + -1, + 74692904, + 694987430, + 663793768, + -1, + -1, + 746766978, + -1, + 180142375, + 783341872, + 712960555, + -1, + -1, + 306124816, + 764090468, + 451111282, + 176422079, + 281501429, + 543086323, + -1, + 22630552, + 681121705, + 762310534, + 285255534, + 91939913, + 111986392, + 477263477, + -1, + -1, + 912510246, + 656046161, + -1, + 781950072, + 87734306, + 983773718, + 471772175, + -1, + -1, + 573527810, + 398275903, + 123272589, + -1, + 304747843, + -1, + 623043603, + 342353935, + -1, + -1, + 784758006, + 668613526, + 646258854, + 452940393, + -1, + 334611555, + 12845212, + 526136970, + 38564385, + 845400395, + 471844962, + 316980092, + 596231494, + 577613571, + -1, + 396562090, + 8751965, + 254995228, + 682129312, + -1, + 342897733, + 415819041, + 853319209, + 484528557, + 214150760, + 662686104, + 877648802, + 247035227, + 999159498, + -1, + 967439372, + 596087222, + 988676639, + -1, + -1, + 123813886, + -1, + 200553213, + -1, + 438199054, + 468421211, + -1, + -1, + -1, + 373283642, + 441679000, + 240835817, + 680509283, + 589490319, + 22662933, + 90090304, + 850964671, + 915676490, + 649561893, + 529776994, + 566618187, + 448977796, + 605417052, + 967359107, + 140297539, + 701403627, + 793322143, + 980841893, + 84818670, + 196739772, + 436895359, + 707721571, + 127212534, + 221879238, + 938226923, + -1, + 841945357, + 556419172, + -1, + 981169953, + 93234559, + 877950810, + 769030078, + 493813514, + 72752437, + 550959013, + 520120549, + 271472525, + 918426036, + 721375979, + 676689851, + -1, + 229677835, + -1, + 400646783, + 540077966, + 538592446, + 660793643, + 235006215, + 884275495, + 381966729, + -1, + -1, + 274559954, + -1, + 965751893, + 410789994, + -1, + -1, + -1, + 285368138, + 631321154, + 548538476, + -1, + 752732675, + 996542850, + 353542620, + 845056635, + 104880080, + 975822737, + -1, + 937805062, + 572571191, + -1, + 435773747, + 211377680, + 344635052, + 398042625, + 686698971, + -1, + 755644959, + 365454927, + 979959548, + -1, + -1, + 991277147, + -1, + 215675579, + 892488561, + 361707426, + 582263481, + -1, + 68558596, + -1, + -1, + 580052034, + -1, + -1, + 201173776, + 119110736, + 162290179, + 666899971, + 118085236, + 930588399, + 544394814, + 11510819, + -1, + 652845381, + 430525400, + 347398173, + 874359348, + -1, + 24527721, + -1, + 327652313, + -1, + 395310802, + 491142419, + 853296137, + 75793727, + 288857762, + -1, + -1, + 712542039, + 504904402, + 700122314, + -1, + 841987284, + -1, + -1, + 581146139, + 651320753, + 195632616, + 535959139, + -1, + -1, + -1, + -1, + 481062598, + 531054594, + -1, + 914042038, + 280014398, + 829915858, + -1, + 696367612, + -1, + -1, + 662946148, + 243028814, + 725114302, + -1, + 336868591, + 282744822, + 75778768, + 285983749, + -1, + 772601870, + -1, + 462988122, + -1, + -1, + 335019951, + 32998568, + 290971060, + 592414881, + 220570193, + 265337133, + 289639784, + 207181654, + 531781004, + 516734700, + -1, + 339112674, + -1, + 690870769, + 195554803, + -1, + 880076227, + -1, + 370957769, + 601803521, + 328489355, + 553103107, + -1, + 446486894, + -1, + 987007911, + 263153053, + 256097854, + 708068074, + 314556151, + 113932339, + 991339075, + 354350178, + 670441426, + 105223073, + -1, + 503859085, + 465228466, + 238282116, + -1, + 596704288, + 124789083, + -1, + -1, + -1, + -1, + 195701219, + 11946073, + 192839921, + 643355427, + 187058672, + -1, + -1, + -1, + 627729549, + 337133580, + 841516253, + 527238068, + 503024094, + 149881211, + 24574224, + -1, + 184788216, + 479929444, + 862927973, + -1, + 627519429, + 86273148, + 783408762, + 917612267, + 900772268, + 354316889, + 885098624, + 498905342, + 477285560, + 946087657, + 457983337, + 30919702, + 106031104, + -1, + 632744715, + 195542562, + 688930253, + 491156677, + 115177027, + 425611988, + 636786617, + 967935504, + 374003655, + -1, + 707764087, + -1, + 338849207, + -1, + -1, + 130862031, + 666799145, + -1, + -1, + 554917150, + 596155147, + 108511688, + -1, + -1, + 227368016, + 868732865, + 123949333, + 180324010, + 740714837, + 158588315, + 127889614, + 1885366, + -1, + 243703628, + 102443418, + 471093478, + 659145413, + 958202722, + -1, + -1, + -1, + 435577918, + 215998112, + 595289093, + -1, + 743573085, + 788555206, + 764745848, + 443325268, + 776000902, + -1, + 611027196, + -1, + 90061770, + 809632866, + 631126428, + 263026168, + 485249706, + 299506089, + 184664466, + 200193502, + 500784647, + 877127381, + -1, + 44023875, + 32096203, + 572747278, + 407073582, + -1, + 354218511, + 745205429, + 737833324, + 130356724, + 473117083, + 241131657, + 247383703, + -1, + 42669607, + -1, + -1, + -1, + 49426201, + -1, + 609733024, + -1, + 415013170, + 109892887, + 154927957, + -1, + 560842798, + 120795843, + -1, + 636401601, + 933638685, + 318296700, + 569412671, + 861374139, + 121554885, + 585391641, + 801829631, + -1, + 861370255, + -1, + 7160237, + -1, + -1, + 456227685, + -1, + -1, + 328516211, + -1, + 745755423, + -1, + 609690544, + 139485623, + 539093739, + 970278368, + -1, + 505937075, + 589521529, + 938519919, + 529746567, + 201185283, + 268660473, + 376469152, + 276758466, + 673316505, + 666954247, + -1, + 913552973, + -1, + 382660872, + 14335126, + 112514124, + -1, + -1, + 754608918, + 259384075, + 532873377, + -1, + 256047811, + -1, + -1, + -1, + 586758799, + -1, + 733578812, + -1, + 250443624, + 555225707, + 669879992, + 209799213, + 539536569, + -1, + -1, + 641118197, + -1, + 52149432, + 78132485, + 597038655, + -1, + 166733896, + 863738224, + -1, + 158693102, + 335237307, + 177589888, + 1182112, + 237301831, + -1, + 253052132, + 989953832, + -1, + 906137127, + 987123076, + 568899543, + -1, + -1, + 948783466, + 852182013, + -1, + -1, + -1, + 120194322, + 739167856, + -1, + 428309613, + 325326975, + 536013259, + 825070872, + 355350764, + 998011425, + 755018891, + 893085777, + 831360966, + -1, + 637692986, + 636368145, + 927870864, + 13432352, + 57618654, + 418953810, + 480483211, + -1, + -1, + -1, + -1, + 508185396, + 407988064, + 815104396, + 823965588, + 347302338, + 995754653, + 799916204, + 935445042, + 905745955, + -1, + -1, + 239606378, + 327868847, + 112325183, + -1, + 91684653, + -1, + 238319967, + -1, + 998466640, + 26371178, + 142674249, + 743647784, + -1, + 101045609, + -1, + 629959175, + -1, + 699482426, + 806890600, + 967119754, + 490524950, + 532729713, + -1, + -1, + 838226554, + 710072203, + 824738604, + 769746168, + 254636277, + -1, + 47610989, + 614425809, + 773625614, + -1, + 810319205, + 383752751, + 489349626, + -1, + 2442933, + -1, + 247065935, + 506441030, + -1, + 613978150, + 980861556, + 759051474, + 791424678, + 417197400, + -1, + -1, + 325721367, + 75374220, + 726051708, + 779630761, + -1, + 445561526, + -1, + -1, + 799805749, + 98715357, + -1, + 887323845, + -1, + 569041193, + -1, + 45057466, + -1, + 437272230, + 466451639, + 824177929, + 108931686, + 317320479, + 560189442, + 917138285, + 228287829, + -1, + 526062265, + 660814504, + 153426286, + 550519989, + 603313845, + 300035279, + 764867344, + 652764246, + 301112005, + -1, + 623403921, + 660371266, + -1, + 481015298, + 646809564, + -1, + -1, + 857067215, + 180729649, + 487925576, + 815450050, + 568071545, + 691977989, + 215810692, + 688796325, + 537946794, + 415246300, + 45152058, + 141033498, + 340379231, + 786057852, + 334628125, + 33867035, + 719904816, + 459772155, + -1, + -1, + -1, + -1, + 641158977, + -1, + -1, + -1, + 160266704, + 343437132, + 513156850, + 38545387, + 493258782, + 888551705, + -1, + 772302071, + -1, + 731865951, + -1, + 157751328, + 377678857, + -1, + 146300365, + 764291533, + 666779315, + 591668905, + 812897182, + 55692371, + 50001552, + -1, + 335431986, + -1, + -1, + 21161066, + -1, + -1, + 765614179, + 90045362, + 859375138, + -1, + 537803282, + 116117165, + 356469009, + 964328775, + -1, + 815639360, + 430246599, + -1, + 471741107, + -1, + 19084751, + 795965433, + 830605634, + -1, + 406288232, + -1, + -1, + -1, + -1, + 609048546, + -1, + -1, + -1, + 717888278, + 87468387, + 733796278, + 948901769, + 976435531, + -1, + 467349286, + 918672709, + 734859769, + 107393274, + -1, + 576876589, + 325207947, + -1, + 538341291, + 999515402, + -1, + -1, + 940973146, + -1, + 682049683, + -1, + -1, + -1, + 455656298, + 983582074, + 397046976, + -1, + 511803304, + 440436301, + 51059867, + -1, + 441209374, + 430374127, + 79949365, + -1, + 956141601, + 382621770, + 423070292, + 739004855, + 784839530, + 458226621, + 808868292, + -1, + 944940834, + 810890784, + -1, + 491449662, + 529670566, + -1, + 869222750, + 978553759, + 626865806, + 394597380, + 533160804, + 212679085, + 15807428, + 183911217, + 463368720, + -1, + 585414373, + 461600345, + 246217053, + 154393743, + 679173006, + 474505819, + 611880010, + 727417513, + -1, + -1, + 378018515, + -1, + 135788977, + 892854727, + 76409315, + 375501609, + -1, + -1, + 482660396, + 414327258, + 744336837, + 571949339, + 551291853, + 330583323, + 46116727, + 827545357, + 622570975, + 740801392, + -1, + -1, + 863487256, + 92111110, + -1, + -1, + 672446296, + 639339508, + 390078217, + -1, + 948572324, + 362785715, + 972095989, + -1, + 100290460, + 157611339, + 179737707, + 798602166, + 42283208, + 547479349, + 86375404, + 457274547, + 900943033, + 600004799, + -1, + 702784625, + 823545987, + 646817139, + 406091381, + 767820508, + -1, + 410887497, + 3600581, + 932645680, + 832491508, + 102644226, + 18951162, + 912439016, + 961538241, + -1, + 886489714, + 412084578, + 183794148, + -1, + 439297755, + 760785853, + 912053889, + 649725454, + 70847708, + 335113243, + 511617053, + 90241939, + 715135185, + 566352059, + 913201436, + 288419044, + 834745038, + 521255692, + 952280870, + 847649037, + 805630322, + 537894097, + 473197108, + 192900983, + 696376935, + 493405992, + -1, + -1, + 225883674, + -1, + -1, + 85471504, + -1, + 914180559, + 242694836, + 559119932, + -1, + 132799723, + 983495367, + 139086044, + 900468723, + 648632251, + 906431466, + 914963874, + 443514439, + 493701667, + 892294926, + -1, + 495978990, + -1, + 97756946, + -1, + 116060501, + 876109783, + 116788187, + -1, + -1, + 829662210, + 410120649, + 979513372, + -1, + 41771213, + 329841271, + 710350110, + -1, + -1, + -1, + 821853127, + 660091572, + -1, + 236048219, + 165906935, + 963852438, + 903520244, + 499219006, + 174658664, + -1, + -1, + 370227381, + 969386121, + 930583383, + 759862189, + 167951621, + 265068492, + 610040726, + -1, + 854386732, + 655708548, + 145024223, + 353780645, + 480649302, + 424125365, + 325203374, + 848630484, + 480807639, + 437850494, + 61271963, + 600979590, + 825180041, + -1, + 70726488, + 741085344, + 76313505, + 739594722, + 423044399, + -1, + 903862355, + 934620292, + 434965458, + 4213170, + 835222781, + 937078877, + 809047862, + 943834848, + 237264263, + 774251690, + 732735922, + 578333754, + 281308226, + 460933511, + -1, + 653062348, + 619544011, + 300273651, + -1, + -1, + 167220267, + 804657460, + 845777391, + 587350267, + -1, + 856574621, + 865078689, + -1, + 262075364, + 778353440, + 679332011, + 201214243, + 922479787, + 37748520, + 817448084, + 723908835, + -1, + -1, + -1, + 960672810, + 28441500, + 959059937, + 76929146, + 383863496, + 520844475, + 872752016, + -1, + 670361638, + 989575133, + 536772521, + 976154760, + 981890615, + 865093172, + 13629884, + 267814931, + -1, + 28727570, + 837336365, + -1, + 356537223, + -1, + 671764515, + 147903395, + 619105241, + 8298003, + 873842236, + 923531276, + 927881091, + 705586372, + -1, + 702750387, + 743939053, + 620263743, + -1, + 76724247, + -1, + -1, + 939718608, + 39261677, + 746073317, + 439586954, + 732338154, + -1, + -1, + 381581100, + 42157453, + -1, + 982494876, + 771133704, + 786932306, + 409481168, + -1, + -1, + 484168081, + -1, + 672421877, + 546212678, + -1, + -1, + 629823963, + -1, + 502048312, + 651378825, + -1, + 554672248, + 601559596, + -1, + -1, + 91042126, + 460280881, + 365465987, + -1, + 264791345, + 843049742, + 501574140, + 763154400, + 667571535, + 846635840, + 35779933, + -1, + -1, + 737350680, + -1, + 663511225, + 377662840, + 178789725, + 500436304, + -1, + -1, + -1, + 625167642, + 686849671, + -1, + -1, + 532755838, + 497614471, + 878666311, + -1, + -1, + 110604064, + 23205022, + -1, + -1, + 480754646, + 900235140, + 960864937, + -1, + -1, + -1, + -1, + -1, + -1, + 565345381, + -1, + 130286754, + -1, + -1, + 791106875, + -1, + 846471629, + 416307641, + 438349697, + 382903956, + -1, + -1, + -1, + 864498877, + 701928862, + -1, + -1, + 286850639, + -1, + 410042727, + 728423940, + 935027694, + 801687826, + -1, + 371188685, + 357845877, + 161479685, + -1, + 891721430, + 408944855, + 212957848, + -1, + 411968304, + 987197380, + 860710914, + 286717851, + 789961208, + 431013850, + -1, + 471162085, + -1, + 48756733, + 432414193, + 840276885, + 53515272, + 97858082, + 936003074, + -1, + -1, + -1, + 793116278, + 7894171, + 928071534, + -1, + -1, + 701281659, + 499417366, + 205648532, + -1, + 193031537, + 790873038, + 606057151, + -1, + 861444721, + 530406674, + 128847764, + 429469504, + 146623841, + 319510203, + 996731743, + 869685848, + -1, + -1, + 724525775, + 685933781, + 693641238, + 5892074, + 484457976, + 814168676, + -1, + -1, + 83395686, + 183380715, + 713208201, + 273130163, + 329568796, + 681658043, + -1, + -1, + 508694914, + 965798184, + 702111733, + -1, + 300445708, + 744264788, + 969398954, + 442775262, + -1, + 797457902, + 973908777, + 515390626, + -1, + 714427791, + 680803568, + -1, + 586558865, + -1, + 114757396, + -1, + -1, + -1, + 266798357, + 410422411, + -1, + 621918272, + -1, + -1, + -1, + 569595076, + -1, + -1, + -1, + 123144051, + -1, + -1, + 240024832, + 456948839, + 39774860, + 583997013, + 171644142, + -1, + 681692073, + -1, + 721131788, + 747356450, + 310057921, + 743772341, + 162106413, + 970900244, + -1, + 344533800, + 577056215, + 458576043, + 339383638, + 881975296, + 650649769, + -1, + -1, + 568295518, + -1, + -1, + 323506251, + -1, + 683195053, + 74415731, + 354592455, + 534162749, + -1, + -1, + 459222790, + 877411336, + 753935260, + 396606444, + -1, + -1, + 903329350, + -1, + 647604729, + 633225538, + 548758826, + 445676331, + -1, + 869986048, + 598783203, + 763705130, + -1, + 539566169, + -1, + 785093547, + -1, + 61581282, + 435000749, + 35294759, + -1, + 881653788, + -1, + 938589322, + 123765132, + 454708966, + 266262724, + -1, + -1, + 561502535, + 588153040, + 300575794, + 837152465, + 607365981, + -1, + -1, + -1, + 144573427, + 116552983, + 844535642, + 627390166, + -1, + -1, + 279071960, + 705392265, + 713855401, + -1, + -1, + 273511945, + -1, + -1, + -1, + -1, + -1, + 405095202, + 382873415, + -1, + 528725135, + 248429422, + 486511338, + 635858880, + 127782103, + 488005445, + 894127210, + 438312844, + 875290416, + 180782775, + 303114803, + 858156236, + 475443451, + 438356142, + -1, + 403194468, + 993320694, + -1, + 178773970, + -1, + 439471868, + -1, + -1, + 559084047, + 385347839, + 262560697, + -1, + -1, + -1, + -1, + -1, + 323626462, + 188873254, + 742713182, + 183321727, + 524353659, + 505340556, + -1, + 207580599, + 992456818, + 787838564, + 64922590, + 73784923, + -1, + -1, + 229013845, + 570683596, + -1, + 526861867, + 937804045, + -1, + 714544433, + 860741308, + 886694903, + 367498060, + -1, + 679994594, + 997668078, + 947257582, + 591150227, + 445081891, + 240340439, + 868340849, + 261185463, + -1, + 756756315, + 75309539, + -1, + -1, + -1, + 193512544, + 566374711, + -1, + -1, + 409668507, + 846948774, + 132942134, + -1, + -1, + 344618662, + -1, + 332409108, + -1, + 772158161, + 805093170, + 240524578, + 855428002, + 314210555, + -1, + 362415293, + 948952951, + 105617543, + -1, + 545002160, + 183677641, + 656576633, + 843601358, + 738376122, + 131735429, + -1, + -1, + 548789532, + 407644224, + 857492957, + 777233656, + -1, + 616650342, + -1, + 786776278, + 666175428, + -1, + 610536327, + 787704511, + 753630594, + 473608853, + 507887505, + 64381243, + 186615480, + -1, + -1, + 42085742, + 912945010, + -1, + 410225541, + 531679154, + 766690854, + -1, + -1, + 139021528, + 614191494, + -1, + 326526443, + 560461191, + 472630342, + 33277899, + 534969152, + 611405308, + 558340357, + 595166578, + -1, + 960293378, + 587078587, + -1, + 261223439, + 288198552, + 254161614, + 164461691, + -1, + 368801616, + -1, + -1, + 710733435, + 977986876, + 741954281, + 744503450, + 161832162, + 58373356, + -1, + 959896791, + -1, + -1, + 177470778, + -1, + 426052477, + 159488318, + 377628111, + 625249366, + 317897597, + -1, + 550325719, + 491758075, + -1, + -1, + 628623682, + 301323567, + 191112965, + 569294650, + 573192155, + 675503398, + 215388696, + 221408100, + 904420208, + -1, + 907072069, + -1, + 446950454, + -1, + 676425036, + 204533282, + -1, + 858261813, + 361077952, + 305692872, + 938707786, + 219852434, + -1, + 294496330, + 751572432, + -1, + -1, + 541165128, + 926824213, + 283270039, + -1, + 622566761, + -1, + -1, + 207569483, + 633667118, + -1, + -1, + -1, + -1, + 103040372, + 212523245, + -1, + 996957784, + 254975418, + 254941862, + -1, + -1, + 801193235, + 626661054, + -1, + 661853235, + 721101529, + 753222440, + 202257776, + 11828887, + 362341485, + -1, + -1, + 739925612, + -1, + 715859121, + -1, + -1, + 896065324, + 1604321, + 633253003, + -1, + -1, + 603046771, + 50078866, + 934923873, + 903918679, + -1, + -1, + -1, + 860546361, + 718293691, + 342214333, + 949959558, + -1, + 824169450, + -1, + 757544204, + 186392112, + 564404980, + -1, + 281834770, + 779010851, + 608020337, + 538708493, + 609899756, + 478372388, + 724518603, + -1, + 57560410, + 332776876, + 445664450, + 442025521, + 14706812, + 302991340, + -1, + 571734484, + 856565272, + 687836869, + 839742321, + 849741858, + 517767005, + -1, + 996134866, + 397878221, + 96937416, + -1, + 865766946, + 6217035, + 904860516, + 680453665, + -1, + -1, + 769257684, + 953809702, + -1, + -1, + -1, + 387312378, + 3869544, + 311324378, + 829977267, + -1, + 786824136, + 814954454, + 927231093, + -1, + 315524804, + -1, + -1, + 776052514, + 246238978, + 259233352, + 625240458, + -1, + 926594961, + -1, + 697248636, + -1, + 874785045, + 155957154, + 464995508, + -1, + 289740793, + -1, + 470013665, + -1, + -1, + -1, + 234269973, + 104456111, + -1, + 772142898, + -1, + -1, + 733928533, + -1, + -1, + 541365815, + 280236154, + 525307035, + 76033688, + 575773344, + 602000531, + 405376898, + 99037411, + 254140279, + -1, + 839208907, + -1, + 287262307, + 200279415, + 460246341, + 616168911, + 97290539, + 527120587, + 312495749, + -1, + 705993031, + 402018492, + 298693142, + 980407690, + -1, + -1, + 942900055, + 243666443, + -1, + 190827226, + 634404893, + 976563685, + 194448845, + -1, + 795739813, + 475531282, + 73923722, + 773228901, + -1, + 993365643, + -1, + -1, + -1, + 223777284, + -1, + 412096265, + 465913723, + 324621269, + 774633015, + 295998979, + 830289444, + 791173456, + -1, + -1, + -1, + -1, + 359322664, + 242048848, + -1, + -1, + 826329325, + 163625791, + 529108989, + 318914879, + 900253478, + 851515397, + 419181879, + -1, + -1, + -1, + 304876063, + 751778022, + 391339607, + -1, + -1, + 805783696, + 998518442, + 754674458, + 277899392, + 161860684, + 687662033, + -1, + 321949517, + 725954668, + 694849737, + 35039648, + 888250319, + 640100331, + 724613984, + 197900957, + -1, + 630583511, + -1, + 977093199, + 293756349, + 847963729, + -1, + 939474289, + 200777845, + -1, + -1, + -1, + 474533048, + -1, + 558425244, + 437949172, + 500394215, + 343830999, + 846897733, + -1, + 216328524, + -1, + -1, + 825316051, + 685920225, + -1, + 969318362, + 301631292, + 409705345, + 153285410, + -1, + 762829350, + 402296742, + 839861288, + -1, + 830561446, + 233973487, + 596581609, + 316330085, + -1, + 430609745, + -1, + 828843828, + 122090271, + 374392098, + 623916945, + 57321235, + 802133077, + 240471344, + -1, + 90334911, + -1, + 762364552, + 596801864, + -1, + 380321120, + 530282189, + 366478762, + -1, + 97668573, + 290418866, + -1, + -1, + 55625416, + 122429619, + 106821711, + -1, + 969513274, + 729010195, + 264932788, + -1, + -1, + 598819655, + 459588127, + 481723038, + -1, + 367945147, + 233532329, + 2346345, + -1, + 817220364, + 373671775, + 946608379, + -1, + -1, + 191966012, + 821832440, + -1, + 350837142, + 965080999, + 657179932, + 677433711, + 856122019, + -1, + 464512430, + -1, + -1, + 368129847, + 18576338, + -1, + -1, + 948500136, + -1, + 950963429, + 526543088, + 8072949, + -1, + -1, + -1, + 274116055, + -1, + 382890487, + 811737616, + 810008501, + -1, + -1, + 879482554, + 246292745, + -1, + -1, + 992237530, + 334513709, + 723681396, + 522186828, + 936895468, + 864600841, + 273211091, + 182751240, + 989434755, + 658420882, + -1, + 303334653, + 856672079, + -1, + 844974094, + 472388348, + -1, + -1, + 363311169, + -1, + 953654124, + 313623839, + -1, + -1, + -1, + -1, + 32852675, + 533747700, + 215890393, + 829542516, + 151220804, + 830965166, + 810742296, + 498036238, + -1, + -1, + 526607197, + -1, + 649761015, + 585020497, + -1, + 84604335, + 870602508, + -1, + 107301468, + 148284268, + 14148230, + 41883322, + 874916684, + 408607392, + 856798832, + -1, + 647216406, + -1, + 168768763, + 18367716, + -1, + 960155730, + -1, + 654210048, + 239000407, + 846256115, + 551577631, + -1, + 752834728, + 244697890, + 41264317, + 84764037, + 827327423, + 181061253, + 56396194, + -1, + 258436924, + -1, + -1, + 970246952, + 361235933, + 201437423, + 252709858, + 972346063, + 23341304, + 487310952, + 693705096, + -1, + -1, + 352985814, + 875699291, + 632059112, + 230486387, + 771956345, + 526594826, + -1, + 150830369, + 628571012, + -1, + 196151030, + 34254726, + -1, + 667327556, + 397313633, + 248707350, + -1, + 159976634, + 596678807, + -1, + -1, + -1, + 718163300, + 682855756, + 73169202, + 791771150, + 857815212, + 476289140, + 400776729, + 427553314, + 606094464, + 317788362, + 179905244, + 703253347, + 85072645, + -1, + -1, + 384385412, + 954599081, + 59809480, + -1, + 714841379, + -1, + -1, + -1, + 987044892, + 441029644, + 843133916, + -1, + 428533408, + 964900552, + -1, + 839969368, + 110309081, + 853846083, + 180028172, + -1, + -1, + 82531262, + -1, + -1, + 557741999, + 33314467, + -1, + 28681824, + 219133370, + -1, + 108406736, + 783521385, + -1, + 191457452, + 841741590, + 693446281, + 845185423, + 643662021, + 428374182, + 922875529, + 484902699, + 214373882, + 52404352, + 221643004, + -1, + -1, + 795073304, + 365135469, + 960402049, + -1, + 736420936, + -1, + 670613991, + -1, + -1, + 609145600, + 495476627, + 142849132, + 941590006, + 195156387, + -1, + -1, + 758306329, + -1, + -1, + 913841047, + -1, + 896426784, + -1, + 136191597, + 710087233, + 194628489, + 5917847, + 137320622, + 431441280, + 886169025, + 607260081, + 559596809, + -1, + 260565736, + 198426731, + -1, + 426946476, + 833799906, + 186905253, + 199602604, + 405865926, + 639898454, + 315251120, + 160722357, + -1, + -1, + 960416287, + -1, + 79021617, + -1, + 27296944, + 552836181, + 383459179, + 523951162, + 450009504, + 34579571, + 383828303, + 309229236, + 829914456, + 702906843, + -1, + 188580685, + 703392201, + 506792397, + -1, + -1, + 272371475, + 992260581, + -1, + 214022366, + 73348755, + 897052796, + 126884457, + 478178781, + 181464736, + 31805705, + 579832552, + 793843260, + -1, + 318209110, + -1, + 80405781, + 98908946, + 657324144, + 694225443, + 465114906, + -1, + 482192581, + 348658413, + -1, + -1, + -1, + 793877516, + -1, + 997546821, + 945260929, + 365768, + -1, + 682935205, + -1, + 979319212, + 411286661, + 111381769, + 401530811, + 818426937, + 954653989, + 810811609, + 855495760, + 139560374, + 426780844, + -1, + 792724098, + 919484475, + 763492636, + -1, + -1, + 875506437, + 655173768, + 664699366, + -1, + -1, + 941750017, + 215625016, + -1, + 688103564, + -1, + 812677933, + 646727052, + 652451368, + -1, + -1, + 82337415, + 105487278, + -1, + 361152766, + 755060536, + 792607288, + -1, + 328606669, + 170621299, + -1, + 581839547, + 247223400, + -1, + -1, + 403085100, + 234942214, + -1, + 517517301, + 770940046, + 771435804, + -1, + 821642392, + 948932108, + 622609915, + -1, + 585467406, + 272224723, + 458487536, + 784074852, + -1, + -1, + 445226198, + -1, + 103318339, + 93860675, + -1, + -1, + 965422422, + 294354798, + -1, + 486070953, + 676111763, + -1, + 221579527, + 83569120, + 514531037, + -1, + -1, + -1, + -1, + -1, + 884738985, + 883919253, + 768156492, + 36393626, + 786906717, + 261599674, + -1, + 630620319, + 255239351, + 657297155, + -1, + 640299048, + 997193325, + 848408572, + -1, + 51942582, + 168148847, + 755429571, + -1, + 525993377, + 21126423, + -1, + 240735266, + -1, + 57631895, + -1, + 151764276, + 499802875, + -1, + 231149534, + -1, + 159059109, + 711748183, + 859687495, + 421710003, + 708325930, + -1, + 726801965, + -1, + 67646312, + 410195901, + -1, + 702849001, + 811602963, + 9500977, + 498298159, + -1, + -1, + 583035382, + 288498209, + 575880007, + -1, + 450361896, + -1, + 926921385, + 744762928, + 325795585, + 610673144, + 664230976, + -1, + 883701805, + 185610964, + 459271175, + 705588981, + 373304249, + -1, + 873988890, + -1, + 997897709, + 950496620, + -1, + 583167962, + 95146891, + 907350007, + 727503371, + -1, + 691926937, + 897923915, + 377937234, + 63374810, + 217867724, + 812796158, + 3084791, + 416228838, + 386792604, + 539226666, + 642040684, + 486868731, + -1, + -1, + 580224913, + -1, + -1, + 768372389, + 372730958, + 749809919, + -1, + 394007474, + 900121693, + 215858064, + 92095421, + -1, + -1, + 771343360, + -1, + -1, + 162713641, + -1, + 906660252, + 309013779, + 277531233, + 437805426, + 898868733, + -1, + 563057737, + -1, + -1, + 556059701, + 545337825, + 238901366, + -1, + 11346159, + -1, + 254770515, + 286982505, + -1, + 810720251, + -1, + 975313048, + -1, + 200460527, + -1, + -1, + 65120954, + -1, + 726224757, + -1, + 565348371, + 739257956, + 298989477, + -1, + 732665166, + 658647784, + 138141145, + 881044998, + 984066749, + 114838675, + -1, + 576468926, + 884944573, + 778566129, + 390701312, + 556366494, + 477044391, + 219405211, + 859292339, + 792162431, + -1, + -1, + 350268228, + 239542944, + 297778469, + -1, + -1, + 817870801, + 679567953, + -1, + 381278297, + -1, + -1, + 127121313, + 157570934, + 681796463, + 724088810, + 353647998, + 515953542, + -1, + 721134582, + -1, + 585002457, + 493630488, + 248161267, + -1, + 201823149, + 660429162, + 3956882, + 477364382, + -1, + -1, + 582487575, + 981363485, + -1, + -1, + 533499373, + 342227921, + 352885523, + 556869386, + 897071829, + 325853615, + 661368152, + 202845743, + 605963196, + 934989684, + 553134290, + 198545576, + 141444339, + 511942235, + 272151443, + 305102859, + -1, + 552706336, + 635331713, + -1, + 514532939, + 595390873, + 513231346, + -1, + 363250178, + 448849846, + -1, + 5660082, + 206291075, + 948866319, + 282040679, + 927913628, + 948140154, + 538910811, + 594512966, + 135962935, + 485314915, + 948684835, + -1, + 983131462, + 104262377, + 929699114, + 358205217, + -1, + 634091375, + -1, + 230748766, + 130304260, + -1, + 602183386, + 25363086, + 934757389, + -1, + 812159726, + 677665442, + 221972324, + 953563587, + -1, + -1, + 10880195, + -1, + 432301595, + 939864650, + 614799400, + 711024032, + -1, + -1, + 50113979, + 740589196, + -1, + 857906515, + -1, + 919459733, + -1, + 286213555, + -1, + -1, + 259582650, + -1, + -1, + 255166503, + 17970741, + -1, + 260125061, + 738751585, + 128653213, + -1, + 203247404, + -1, + 575382669, + 598374766, + 334451390, + 623576759, + 84203197, + 710050417, + 106080928, + 446984413, + 825793926, + -1, + -1, + -1, + 373772178, + 919742074, + -1, + 553510221, + 939900353, + 609325014, + -1, + -1, + 39764668, + 258580578, + 495955125, + -1, + 271091498, + 903187454, + 803118145, + -1, + 596232201, + 323726955, + -1, + -1, + -1, + -1, + 106980792, + 854227236, + 67525136, + -1, + -1, + -1, + 780798861, + 738093406, + 466607406, + 921340338, + 953865785, + 325921227, + 561573829, + 557165762, + 783655126, + 281799561, + 399247610, + 734163948, + -1, + -1, + 320554931, + 202293325, + 468531321, + -1, + 481633585, + -1, + -1, + -1, + -1, + 799484679, + -1, + 146290702, + 158178823, + 839250219, + 597055702, + 343347054, + 371994800, + 811244017, + 974458123, + 198471278, + -1, + 628009027, + 106560128, + -1, + 451724494, + -1, + -1, + 730792575, + 651317205, + 7987489, + -1, + -1, + -1, + 792705355, + -1, + 203025058, + -1, + 860396102, + -1, + 131243610, + 316433228, + -1, + 840881894, + 999484377, + 210232365, + 935464756, + 255991167, + 870630519, + -1, + 946312950, + 500559362, + 403211846, + 434007286, + 137920366, + 619162718, + -1, + 678281447, + 439239792, + 701550473, + 927593165, + 830992002, + 457718098, + 949378998, + 344616539, + 884980064, + 825393250, + 67183253, + 175796488, + 792849871, + -1, + 829645391, + 537110453, + 545238090, + 665369956, + 778584328, + -1, + -1, + 286778509, + -1, + -1, + 946634952, + 59051886, + 214848659, + -1, + -1, + 744455902, + -1, + 105047386, + -1, + -1, + -1, + 87250913, + -1, + 894396505, + 162809035, + 770282835, + -1, + -1, + 986789285, + -1, + -1, + -1, + 733547186, + 63693075, + 569720766, + -1, + -1, + -1, + 73085609, + 606723121, + -1, + -1, + 406822940, + 945961776, + 191071827, + -1, + -1, + 159669276, + 942454646, + 599195490, + 814874608, + -1, + 993879922, + -1, + 404482492, + 731432542, + 448941509, + 124527187, + 91347442, + 3136015, + 615416068, + -1, + -1, + -1, + -1, + 937759734, + 862146667, + -1, + -1, + 451437438, + 702962529, + 787754930, + 897589470, + -1, + -1, + -1, + 751360572, + 691595449, + -1, + 463516400, + 296558306, + 143045223, + 845461617, + -1, + 901308743, + 369150923, + -1, + 211369662, + -1, + 381420453, + 143499513, + 341018130, + 440537299, + 373317402, + 545722394, + 930626284, + 108140790, + -1, + 741242520, + 75179873, + 171177966, + 901063701, + -1, + 876047709, + 373601578, + 5248608, + 507370146, + 677431148, + 17724312, + 771793637, + 284667775, + 626386361, + -1, + 777277748, + 322506387, + 729919907, + -1, + -1, + 768368872, + -1, + 92925297, + -1, + 401896718, + -1, + 770362158, + -1, + -1, + 55754874, + 334029039, + -1, + 165195079, + -1, + 138872682, + 222660405, + -1, + -1, + 201711114, + -1, + 318904283, + 183402281, + 893013294, + 132128850, + 822280967, + 768527774, + 920603779, + -1, + 58948775, + 557227391, + -1, + 612305066, + 747962950, + 339962198, + 748372880, + 657787001, + -1, + 677338725, + -1, + 230901650, + 760037230, + 171473902, + 509802241, + 195293531, + -1, + 882086787, + 171774526, + -1, + 776542237, + -1, + 812628991, + 892145633, + 820941609, + -1, + 145357503, + 955507986, + 558907680, + -1, + 763297039, + -1, + 392462773, + 567510282, + 729038822, + 516150464, + 800347011, + 219803277, + 207419933, + -1, + 902691178, + -1, + -1, + -1, + -1, + 493772383, + 807946430, + -1, + 647546840, + 133673314, + 722835806, + -1, + -1, + -1, + -1, + 527918121, + 316920732, + -1, + 356693258, + 91717810, + -1, + 934447951, + 786271802, + 9490268, + 360937544, + 972335588, + 602108149, + -1, + 733151434, + 613408873, + 718346760, + -1, + 392606387, + -1, + 973085058, + 539860828, + 2963190, + 306666076, + 511562610, + -1, + 460276636, + 354587940, + -1, + 794597065, + 492036979, + 452468749, + 315663282, + 745715704, + 931009965, + 839217335, + -1, + 549176938, + 408204055, + 690963959, + 736860280, + 506957276, + -1, + 962534784, + 567273968, + 992186471, + 358299359, + -1, + 178424595, + -1, + 959214405, + 461664958, + 600845897, + -1, + 392054573, + 439774363, + -1, + 567531369, + 311027381, + 32986834, + -1, + 514989192, + 268509265, + -1, + -1, + 126015433, + -1, + 34105469, + 397244134, + 819022786, + 409175691, + 624606853, + -1, + -1, + -1, + 912056144, + 30618281, + 194875895, + -1, + 841802607, + -1, + 185169742, + 33020945, + 353820620, + 34038925, + 426229688, + 169617765, + -1, + 229202216, + 316582666, + 681295632, + 395531048, + 238447442, + 371300829, + 997400876, + 806531567, + 583127733, + 482635129, + 309786461, + 756992398, + 515349804, + 300895275, + 811790787, + -1, + 136487415, + -1, + 164006968, + 194854165, + 118249735, + 768800548, + 992757175, + 415755552, + 455445556, + 554597197, + 353118093, + 35665933, + -1, + -1, + 45233851, + -1, + 153143290, + 906117608, + 427085080, + 978962117, + 203427652, + 160571237, + 188336989, + -1, + 935716306, + 468435456, + 70030024, + 504002948, + -1, + -1, + 721532541, + 519897319, + 497379488, + 763744152, + 265231596, + 316574745, + 681360619, + 346659707, + 487258063, + 233772952, + 637291307, + 522622030, + -1, + -1, + 910660752, + 709594102, + -1, + 257976763, + 753847881, + 744025074, + 372222864, + 702266075, + 572168886, + 990479614, + -1, + 139665897, + 572682141, + 807153581, + 531496676, + 219003048, + 372515288, + -1, + 554752211, + 735982211, + 630369242, + 471812686, + 233993198, + 447608498, + -1, + 45737068, + 312083414, + 693783465, + -1, + 858245211, + 163796834, + -1, + 358963947, + -1, + 724341697, + 527399602, + -1, + 881887950, + -1, + 934901631, + 413915803, + 139159644, + 851310185, + 457811862, + 307759495, + 651522188, + 199291987, + -1, + -1, + 434734832, + 473948589, + 113639821, + 910275080, + -1, + -1, + 153686539, + 814471987, + -1, + 393928392, + 952685972, + -1, + -1, + 176254049, + 392679437, + 819406373, + 358718469, + 354910706, + 827215976, + 392354231, + 90173930, + 609995857, + 547380760, + -1, + -1, + 83441635, + 765124504, + 312537713, + 668200471, + -1, + 93023925, + 716993851, + -1, + -1, + 777959046, + 172269642, + 487620029, + -1, + 205346276, + 938721892, + 732306, + 842315859, + -1, + 178115473, + -1, + 1913314, + -1, + -1, + 752401682, + 635212533, + 397800251, + -1, + 666572734, + 538331858, + 63939506, + 840153822, + 498015730, + 381577048, + 673057730, + 701942478, + 50815509, + -1, + 99406263, + 672854451, + 542198708, + 874729614, + -1, + -1, + 727894426, + 12580768, + 387625096, + 181902794, + -1, + 809754117, + 963782361, + -1, + -1, + 861616132, + 715212853, + 401151400, + -1, + 935624147, + -1, + -1, + 116474350, + -1, + 167195808, + -1, + 149429567, + 12811036, + 92852254, + 276236348, + 524552379, + 244010389, + -1, + 685773395, + -1, + 859916829, + 851653182, + -1, + 387981211, + -1, + 62336912, + 44432896, + 199388528, + 254076858, + 951441686, + 618784547, + 309132522, + 495984301, + 460458264, + 989289707, + 801853712, + 383122308, + 401190353, + 231314953, + -1, + -1, + 123268288, + 952056171, + -1, + -1, + 991061412, + 362568410, + 454488650, + -1, + -1, + 501770891, + 341305259, + -1, + 95315379, + 71584252, + -1, + -1, + 44845499, + 228972755, + 336938950, + 426475453, + 644275057, + 393879019, + 227380995, + 417084802, + 263469363, + -1, + -1, + 643438467, + -1, + -1, + 856111077, + 655020348, + 93146964, + -1, + 9626633, + 891569732, + 559625461, + 514264830, + 323234671, + 134478702, + 413358508, + -1, + 56409236, + 472855387, + -1, + 265889182, + -1, + -1, + -1, + 209672484, + -1, + -1, + 688925848, + 807689235, + -1, + 993019606, + 207158139, + -1, + 825633115, + 535951883, + 434294493, + -1, + 958291255, + -1, + 674309442, + -1, + 428360897, + 162147093, + -1, + -1, + 327134561, + 699064000, + -1, + 734663943, + 261859380, + 668671863, + 491040353, + -1, + 321870398, + 824634913, + -1, + 874991786, + 272020994, + 855761639, + 684777460, + -1, + 3481883, + 15229178, + 796185247, + 693903581, + 369202326, + 811225540, + 220346829, + 459885032, + -1, + 223259846, + 657390723, + -1, + 696154631, + -1, + 785367415, + 35600199, + -1, + 104397556, + -1, + 451295560, + 868037487, + 443579598, + 88717346, + 753570840, + 436531667, + 548253397, + -1, + -1, + 286750488, + -1, + -1, + 717046298, + 259432283, + 292903519, + 487868921, + 322697572, + 416348218, + 430020556, + 592177847, + 335795891, + 869738217, + -1, + -1, + -1, + 112866706, + 530508234, + 392289888, + 461160066, + 889065788, + 628960847, + 453137775, + -1, + 142648120, + 616994971, + 5920775, + 327060546, + 48807592, + -1, + 606601126, + 224496089, + 22084932, + 99479701, + -1, + -1, + 879903728, + 626680601, + 238810052, + -1, + 780215329, + 519655222, + 15921326, + 462423665, + -1, + 228146000, + 576488553, + 875331705, + 356532234, + 604145782, + -1, + 239360610, + 485680874, + -1, + 526960762, + 37459765, + 474540700, + -1, + 173239851, + 65384568, + 8764175, + 219404299, + 454571165, + 81210886, + 57083059, + -1, + 653970187, + 95553718, + -1, + 972463156, + 542828550, + -1, + 719691604, + 739710698, + 368223392, + -1, + 735234898, + 464136934, + -1, + 458465478, + 67221959, + 260825599, + 185160289, + 171775345, + 785250481, + 302810886, + -1, + 705716890, + 2045879, + 339975771, + -1, + -1, + 430630738, + 928293759, + 844030234, + -1, + 194362441, + -1, + 966176199, + 581609674, + 243601594, + 57463166, + -1, + 945540362, + 452263251, + -1, + 57837538, + 324905740, + 246596990, + -1, + 695226189, + 20223583, + -1, + 384827745, + 185663230, + -1, + 825969264, + -1, + -1, + 332361946, + 710360986, + 655535073, + -1, + 168476218, + 881227569, + -1, + -1, + 617063073, + 121894517, + -1, + 858042587, + 490803849, + 32034650, + -1, + -1, + -1, + 297496736, + 960399334, + 353763108, + -1, + 360658894, + 575826157, + 838230412, + 404123028, + 838669577, + 77054282, + 899919712, + 722126729, + 759421168, + 966643581, + 332970537, + 640827396, + 495487116, + 170105998, + -1, + 233741097, + 424766732, + 851871486, + -1, + 660539053, + 888946905, + 453079733, + -1, + 922181935, + -1, + 456417145, + -1, + 273102016, + 475447246, + 706097166, + 72140004, + -1, + -1, + -1, + 317605389, + 979909032, + -1, + 5280484, + 304931565, + -1, + 700785288, + 407728745, + 337749443, + 206090363, + 221179685, + 547332357, + -1, + -1, + 842643277, + -1, + 880784309, + -1, + 398754447, + 860325561, + 232428211, + 725788480, + 468398518, + -1, + -1, + 549657756, + 477212622, + 131851597, + 616331345, + 141512605, + 158507659, + 343192874, + 73675035, + 902535064, + 314066377, + -1, + 773010885, + 41859593, + 206923550, + 495713540, + 42215172, + 504187591, + -1, + 358273862, + -1, + 766085465, + -1, + -1, + 555573180, + 455773403, + 367571105, + 76973056, + 317883086, + 865142301, + -1, + 416377877, + 83930287, + 567067693, + 318582643, + -1, + -1, + 406930361, + 228037477, + 681017266, + 954656103, + 141090544, + -1, + 351784330, + 553714021, + -1, + 611639626, + 555955202, + 621874056, + 6168389, + 680109401, + 382735963, + 598927214, + 438022502, + 185978737, + -1, + 836404218, + -1, + 320493271, + 647091664, + 432272050, + 415537296, + 85608455, + 421311324, + 96513776, + 209493949, + 14160665, + 765180212, + 238278259, + 857487520, + -1, + -1, + -1, + 563120103, + 475587693, + 294307998, + 574351505, + 354729300, + 472104471, + 87348167, + 593505754, + 623520445, + -1, + -1, + 235148207, + 381177945, + 561980594, + 734958169, + 939083527, + 117272488, + -1, + -1, + 280372038, + -1, + -1, + 284521685, + -1, + -1, + -1, + 56395973, + 757070398, + 113893708, + 499151342, + 343335988, + 29768295, + 333042385, + 446047813, + 32308384, + 702142725, + -1, + -1, + -1, + 122536791, + 193299813, + 95982411, + -1, + 731588080, + 233993828, + 888112608, + 240817312, + 712688674, + 817427404, + 153413988, + 886414657, + 539201167, + 539916019, + 933778550, + 720317178, + 29664317, + 244321794, + -1, + 994344211, + 342303798, + 856002537, + -1, + 839942916, + 167360907, + 541075116, + -1, + -1, + -1, + 436785525, + -1, + -1, + 626845869, + 873642122, + 252821680, + 270906827, + 365788785, + -1, + -1, + -1, + 50301613, + 757087950, + 265729873, + -1, + -1, + 963618824, + -1, + 297862418, + -1, + 659293385, + -1, + 703485869, + 146810542, + 480977031, + -1, + -1, + 827861548, + -1, + -1, + 826686475, + 872878813, + 583489140, + 539724166, + 198586148, + -1, + -1, + 548039009, + 998960351, + 65020436, + 765190683, + 49031739, + 573624543, + 247796834, + -1, + -1, + 792831015, + -1, + 251580419, + 565246552, + 442097469, + 365723466, + 740672933, + 859176279, + 26848079, + 297116504, + 469402017, + 283817754, + -1, + 94337146, + 125826654, + 163934276, + 774483807, + 646536630, + 423334515, + 210963026, + -1, + 746201752, + 955259221, + -1, + -1, + 764661169, + 366686340, + -1, + 705199091, + 341907529, + 211060893, + 693837925, + 121077323, + 328523218, + 624156467, + 971570306, + -1, + 464049404, + 334347882, + 897853161, + 243112996, + -1, + 145172162, + 720500229, + -1, + 200656110, + 36627141, + 581679005, + -1, + -1, + 534760596, + 584144568, + 916576544, + 796223550, + 318862494, + 329381909, + -1, + 962769806, + 117021370, + -1, + 901724741, + 520353709, + -1, + 547089021, + -1, + 412844677, + 816031142, + 627619204, + 270608870, + 110537351, + 853208863, + 274772553, + -1, + -1, + -1, + 805397095, + 93640317, + 68782857, + 278772233, + 334406620, + 292698413, + 404433397, + 902494665, + 326412483, + -1, + 503236039, + 757540648, + 686908190, + 343962153, + -1, + -1, + 370545952, + 70283442, + 873272763, + -1, + 888278504, + 352987140, + 112299580, + 104113826, + 981243494, + 994289618, + 523882314, + 376683978, + 723429219, + -1, + -1, + 410845872, + 417503068, + 179303922, + -1, + 164372791, + 52960983, + 69097170, + 344166034, + -1, + 374397501, + 610429644, + -1, + 584640686, + -1, + 296172645, + 445808502, + 701804444, + 691657019, + -1, + 666347154, + -1, + 656422260, + 294295714, + -1, + 101176617, + 364028439, + 508841334, + 819660482, + -1, + 993271586, + 922319644, + 584640117, + 225862871, + 260802091, + 664346869, + 104191035, + -1, + -1, + 791117338, + 288036416, + -1, + 337933457, + 506416492, + -1, + 709147465, + 482226711, + 992614307, + 308787915, + 849327452, + 746495067, + -1, + 632499889, + -1, + 73791796, + -1, + 996604474, + 39240273, + 305873733, + -1, + 587129965, + -1, + 458506186, + 5555292, + -1, + 659078478, + -1, + 793289366, + 898229506, + -1, + -1, + 992777552, + 393132393, + 667884074, + -1, + 282552034, + 374063220, + -1, + -1, + 243286591, + 642015790, + 467666287, + 372213719, + 97681371, + 979135844, + 587883492, + 74614416, + -1, + 390122705, + 413890776, + -1, + -1, + -1, + 525926512, + 676181199, + 115453456, + -1, + 621704705, + 787832533, + 284734896, + -1, + 327494435, + -1, + 898917960, + -1, + -1, + 90203119, + -1, + 33400776, + 687992861, + 227848165, + -1, + -1, + 934362308, + -1, + -1, + -1, + -1, + 763880825, + 429457948, + 109074823, + 81652778, + -1, + -1, + 199999163, + 435574280, + 955123260, + -1, + 276010620, + -1, + 192519846, + -1, + -1, + 696102116, + 262099895, + 282049458, + -1, + 66988311, + -1, + -1, + 112837549, + 591472936, + 188234840, + 464668918, + -1, + 591083549, + 331557076, + -1, + 350079875, + 92385543, + -1, + -1, + -1, + -1, + 650425767, + 465525863, + 98113844, + 78389569, + 988597145, + 981604715, + -1, + 607747677, + 786416510, + 904993556, + 982157819, + -1, + 512086444, + 337235761, + 662585811, + -1, + 936428928, + 905392550, + 55505020, + -1, + 333247435, + -1, + -1, + 718523457, + 904239554, + 100336654, + 907372128, + 68318702, + -1, + 905663936, + 908685713, + 188889976, + 344433692, + 54090288, + 51087780, + 149607446, + 821379387, + -1, + 563036111, + 90097893, + -1, + 4408276, + 505097532, + 97438873, + -1, + 407719111, + 284058295, + -1, + 547551133, + -1, + 762087316, + 291083445, + -1, + -1, + -1, + 929588992, + 633856453, + 239905062, + 30772957, + 120029706, + 700120508, + 443924186, + 362063257, + 878358605, + 12930062, + 491562155, + 680467793, + -1, + 379736319, + 166799049, + -1, + 364542284, + 68365893, + 567312964, + 232271243, + 876337483, + 397558972, + 631432216, + -1, + 547460097, + 888383654, + -1, + 550744581, + 418040726, + 591601771, + 5580543, + 183967063, + 459106243, + 416118297, + -1, + 959856001, + -1, + 484534519, + 777704813, + 964952374, + 800663364, + 95488977, + 729756198, + 536816877, + 128861079, + 775548088, + 785989091, + 760589453, + -1, + -1, + 28730014, + 898853232, + 823873793, + 643496670, + 577866048, + 331394937, + 784533041, + 742241821, + 711064727, + 272125567, + 664944968, + -1, + 722702681, + 280006477, + 958367932, + 157743199, + 205480542, + 523249222, + -1, + 114274883, + 323198475, + 500786727, + 844745945, + 352443945, + -1, + 960873521, + -1, + 163127007, + 527354844, + 799807438, + 944144107, + 643507567, + 826948858, + 121124793, + 487443122, + -1, + 127812770, + -1, + -1, + -1, + 680103457, + 342555853, + 242291511, + 919372096, + 196161943, + 117101961, + 629425451, + 385902815, + 583185754, + 560672453, + 556283029, + 637570905, + 197612943, + 856428130, + -1, + -1, + 386310653, + -1, + -1, + -1, + 457991744, + 489473789, + -1, + 310992946, + 328820023, + 488897424, + -1, + -1, + 353319517, + -1, + -1, + 735955196, + 400226210, + 645110695, + 429006051, + 99899404, + 832073733, + 446660974, + -1, + 665915634, + -1, + -1, + -1, + -1, + -1, + -1, + 732751948, + -1, + -1, + 134708641, + 204433335, + 825828487, + 840294573, + 355915645, + 38309803, + 188967370, + 218928401, + 505941239, + 2250156, + 867438072, + -1, + 74018210, + -1, + 238040815, + 353670836, + 124462581, + -1, + 445447189, + -1, + -1, + 426332545, + -1, + 400132284, + 213385359, + -1, + 824866823, + -1, + 704044288, + 417554251, + 503601368, + 790670771, + -1, + -1, + 724120270, + 857957937, + 561426449, + 43175344, + -1, + 302278067, + 61723068, + -1, + 834723187, + -1, + 416223924, + 913797344, + -1, + -1, + 812498942, + 105351019, + 470035717, + 68148312, + 722963685, + 481110436, + -1, + 101814342, + 831708449, + 158959218, + 823198160, + -1, + 888697575, + 295474161, + 663615563, + 947364568, + 559153190, + 233061480, + 318019947, + 829432989, + -1, + -1, + 843179466, + 769897734, + 389624729, + 669816040, + 219610252, + -1, + 188569697, + 674880886, + 406423490, + -1, + 965297605, + 8065358, + 349316188, + 379432090, + -1, + 381427396, + 588851455, + -1, + 64197068, + -1, + -1, + 403887440, + 49939343, + 601416321, + 544773101, + 730653558, + 623723832, + 937708988, + -1, + 229616674, + -1, + -1, + 678525628, + -1, + 608165891, + 660431276, + 298988587, + 467562094, + 846237043, + -1, + -1, + 499471207, + 984170141, + 887996768, + 488155878, + 91228505, + -1, + -1, + 908576695, + 990333815, + 257963191, + -1, + -1, + 67967796, + 140876750, + -1, + -1, + -1, + 833701467, + 109829165, + 82768593, + -1, + -1, + 823777801, + -1, + 970262353, + 676868024, + 952729219, + -1, + 608867950, + 745186806, + 583029349, + 407143518, + -1, + 867101968, + 227436093, + 564436015, + -1, + 924269902, + 478236760, + 750810386, + 253116243, + -1, + 570360806, + 806589048, + -1, + 371478135, + 958264744, + 177400422, + -1, + -1, + 669992361, + 86460418, + -1, + -1, + 881045100, + 20777623, + 940669499, + 993620867, + -1, + -1, + 678965509, + -1, + -1, + 76110915, + 731394088, + 614015395, + 576364112, + 444055201, + -1, + -1, + 941783712, + 816766039, + -1, + 224999757, + 181320703, + -1, + 711804168, + 63735115, + 731461515, + 843140932, + 124530146, + 493570295, + -1, + 886320511, + 903323176, + 309896730, + 544761883, + 658114718, + 250387365, + 8345280, + 695990404, + 905583927, + 83092920, + 631292157, + -1, + -1, + 881960185, + -1, + 731154383, + -1, + -1, + 93231960, + 478488327, + 505394730, + 956053760, + 92411347, + -1, + -1, + 210646901, + -1, + 984231538, + 219325689, + -1, + -1, + -1, + 585333429, + -1, + 457739684, + 997146002, + -1, + -1, + 937149382, + -1, + 214008607, + 861215208, + -1, + 133528441, + 268372592, + 617482902, + 452327173, + 706272397, + 547991315, + 629126288, + 305111866, + 294554653, + 687934704, + 196959020, + 725477353, + 882703839, + -1, + 374347025, + 682051336, + 254483568, + 240687205, + 871817308, + -1, + -1, + 254529621, + 265108046, + 491718045, + 236816525, + 250563153, + -1, + -1, + 500587222, + 400573396, + 906663091, + 500411297, + 778246627, + -1, + 344760716, + -1, + 709758027, + 631783571, + 215684887, + 25037186, + 225617418, + 528031805, + 432735582, + 101125533, + 354242659, + 205442152, + -1, + 28203305, + 794738087, + 301514244, + 371331216, + 56559108, + -1, + 518178398, + 821179267, + -1, + 77871274, + 851561180, + 801577108, + 324471364, + 149456366, + -1, + -1, + 294544114, + 898580679, + 168929202, + -1, + 215705645, + -1, + 213834743, + 993857, + 119567130, + 653770358, + 863111921, + 447092044, + 163277373, + 535102899, + 529844904, + 789530917, + 749305020, + -1, + -1, + 587629403, + 498717378, + 551337638, + 134264254, + 280433513, + 570380048, + -1, + 390406858, + 863396994, + 134708168, + 54765186, + 701383503, + -1, + 988615450, + 513755316, + -1, + 121108925, + -1, + 936032691, + 533209493, + 523958563, + 136426205, + 67837625, + 352445738, + 49850517, + -1, + -1, + 922482635, + 748909005, + 819671092, + 854730382, + 346422982, + 58457394, + 514351013, + -1, + 407224873, + 774680549, + 36337690, + 152815335, + 524029719, + 384955329, + 789696031, + 436004543, + 771128934, + 400681749, + -1, + -1, + -1, + -1, + 14186575, + 829960688, + 195616820, + -1, + 542503929, + 970344556, + -1, + 202934356, + 648566283, + 172898843, + 156657739, + 497079870, + 975093632, + -1, + 488321238, + 90131701, + 7134790, + 133817911, + 109730425, + 468458503, + 861447, + 104535428, + 681979377, + 21494933, + 222904810, + -1, + 424384948, + 154534761, + -1, + 134828173, + 225322039, + 503638672, + -1, + 822367357, + 338050309, + -1, + -1, + 977911837, + 247082791, + 101075770, + 938247055, + 491768477, + 21779567, + 30983546, + 793841907, + -1, + 176630740, + -1, + 11488079, + 148467893, + -1, + -1, + 342218334, + -1, + 105897908, + 994504603, + 247742387, + 780206968, + -1, + 707488887, + -1, + 170790692, + -1, + 517159207, + 98136941, + 753657685, + -1, + 762446685, + 376098922, + 182483210, + 155885295, + 163586419, + 808744478, + -1, + 67569023, + -1, + -1, + 288509222, + 513524814, + 6857493, + 523133081, + -1, + 477310763, + -1, + 167400517, + 830329278, + -1, + 983534527, + 927677748, + 846359093, + -1, + 920010919, + 237953384, + 103310948, + 814066111, + 523004959, + 98677565, + 634793564, + 658723640, + 562098100, + 421779351, + 514816545, + -1, + 104965074, + 480157020, + 739545203, + 449487365, + 238620310, + 814357517, + 851958946, + -1, + 186238715, + -1, + 73467032, + 876543401, + -1, + -1, + -1, + -1, + -1, + -1, + 496322591, + 224179949, + 442436254, + 291701569, + -1, + 837633735, + 673527688, + 994114043, + 32024397, + 637177020, + -1, + 408912004, + 665713992, + 490309461, + 525626137, + 746374873, + 784477682, + 452566116, + -1, + 762009743, + 245536565, + 167066036, + 815500696, + 998916579, + 905727818, + 691291313, + 649519087, + 996358219, + -1, + 294093099, + 657671955, + 818115771, + 329446789, + 662394255, + -1, + -1, + -1, + 10775674, + 190109078, + 716409520, + -1, + 833114972, + 582824785, + 643120466, + 369339318, + -1, + 802166962, + 101480808, + 860444077, + 878147754, + -1, + 53298948, + 916078346, + 937013831, + -1, + 145518323, + -1, + -1, + 678796120, + 238877818, + 933920694, + 104682078, + -1, + 375233907, + 769548729, + 361740128, + 96607833, + 100021250, + 628061298, + 872903488, + -1, + 17238280, + 257423330, + 767460095, + -1, + 709645859, + -1, + 232178182, + 732062539, + 257388254, + 9604506, + 849114215, + 804382291, + 118625724, + -1, + -1, + 914119195, + 823284489, + 377133120, + 576002389, + 668564980, + 269255282, + 764303958, + -1, + 687001031, + 5264955, + -1, + 388459652, + -1, + 219652312, + 429337788, + -1, + 251785843, + -1, + 251979225, + 950232554, + 786096392, + -1, + -1, + 156423390, + 62114267, + 614340404, + 570551474, + 834691032, + 427379166, + 755178276, + 882562109, + 557984448, + 861722032, + 500379257, + 71382950, + -1, + -1, + -1, + -1, + 204407126, + 175662830, + 400934037, + 339925941, + -1, + -1, + 3682351, + 168543532, + 647787292, + 639693151, + 353679649, + -1, + 890280043, + 845949858, + 370439678, + -1, + 401565773, + 588202628, + 969552144, + 383763646, + -1, + -1, + 986266632, + 581564526, + -1, + 625605679, + 319746841, + 855145178, + -1, + 255791250, + 240449257, + -1, + 388109530, + 756857240, + 921753739, + 909661042, + 837882149, + 756797044, + 206522641, + 421282250, + 289291059, + 63145633, + -1, + 788323970, + 320177255, + -1, + -1, + 836948172, + 302166187, + -1, + 906194222, + -1, + 68033981, + 415489861, + 127309621, + 277432218, + -1, + -1, + -1, + 821954952, + 3674535, + 979954701, + 406205853, + -1, + -1, + 106576214, + 374853817, + -1, + -1, + -1, + 643379609, + 978067986, + 536182652, + 383689477, + 647623068, + 977044474, + 769729161, + 518508891, + -1, + 758350202, + 894387653, + -1, + 710524640, + 92267205, + 438765990, + 677180799, + 304458300, + 266640817, + -1, + 73214040, + 103793614, + 927870747, + -1, + 779098070, + 82296012, + 829834134, + 924380306, + -1, + 181864245, + 554696106, + -1, + -1, + -1, + -1, + 424978728, + 792398525, + -1, + 591298099, + -1, + 429824770, + 261601053, + 630569471, + -1, + 363269800, + 478454664, + -1, + 621772113, + -1, + -1, + 278752117, + -1, + -1, + 68028121, + -1, + 381261822, + 852810123, + 436329269, + 945820166, + 769620059, + 517602163, + -1, + 627264437, + 108464791, + 657727934, + 410315485, + -1, + 888794290, + 769255146, + 338848485, + 646954042, + -1, + 59811458, + -1, + 110756999, + 697070604, + 194281117, + 283867409, + 769715380, + 107422567, + 918183794, + 799537425, + -1, + -1, + 891369110, + 695786235, + 864857345, + -1, + 397044608, + -1, + 708759797, + 723452377, + 388513595, + 573434621, + 988255701, + 696188304, + -1, + 609482718, + 954753855, + 60907516, + 203611814, + -1, + -1, + 47609229, + 512653747, + 419372178, + -1, + 654015330, + 618553018, + 584092487, + -1, + 277770598, + 827219865, + 241906486, + -1, + 391612134, + 889364527, + 459726846, + 951205584, + 821246908, + -1, + -1, + 766777878, + -1, + 359497268, + 38971742, + 747249097, + -1, + -1, + -1, + 73119751, + 990691850, + 508576597, + -1, + 109989119, + 788206909, + -1, + 137859719, + -1, + 290468915, + -1, + 582775651, + 735454047, + 221383307, + 19955028, + 943271557, + 753616405, + -1, + 536379210, + 969773425, + 218428192, + -1, + 1963061, + -1, + -1, + 738565077, + -1, + -1, + -1, + -1, + 887085584, + 624859146, + -1, + 142311974, + -1, + 655211575, + 536067773, + 860663013, + -1, + 534112754, + 529194398, + -1, + 810193902, + 21484648, + 539881313, + -1, + 461420467, + 159766709, + -1, + 605079124, + 362109879, + 790945273, + 378493436, + 252447989, + -1, + 636068701, + 475105477, + -1, + 474400617, + -1, + 891280002, + 959664755, + 410279189, + 365651109, + -1, + 976990811, + 254463064, + 569395796, + 762782268, + 333817461, + 68580111, + 442867523, + -1, + 90616409, + 326978895, + -1, + -1, + -1, + -1, + 159698245, + 149925691, + 69699788, + 831520813, + -1, + 510892208, + -1, + 458568166, + -1, + -1, + -1, + 897486910, + 256988838, + 37415056, + 48415973, + 72340214, + 23222518, + 227442187, + -1, + 688056859, + 743555961, + -1, + -1, + -1, + 304458777, + 800743521, + 708751943, + 811381716, + 372949056, + 537308449, + -1, + 420642395, + 55729391, + 776340533, + 762224459, + -1, + -1, + 484529712, + 705230070, + -1, + 934847399, + -1, + 719325823, + 142571414, + 264977922, + 751522948, + -1, + -1, + -1, + 971004735, + 279799921, + 874982733, + 46028190, + 925640898, + 246149687, + -1, + -1, + 6257728, + 892369031, + -1, + 578504896, + 815351022, + -1, + -1, + 105782621, + -1, + 744614409, + 413115554, + 952748110, + 499845625, + 646715472, + 758589679, + -1, + -1, + -1, + 914935210, + 208962672, + 158964640, + 852548642, + 813346288, + 837183415, + 784306947, + 924145817, + 659385840, + 860508402, + 136713927, + -1, + 830835, + -1, + 454680149, + -1, + -1, + -1, + 402366082, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 606244410, + 748035512, + 492209172, + -1, + 209930666, + 486954640, + 962332169, + -1, + -1, + 230995046, + 37995347, + -1, + 548053482, + 777925683, + 380573724, + -1, + 550471002, + 446865718, + -1, + 919021930, + -1, + 51733291, + 100467160, + 574717726, + -1, + 425633036, + 378512722, + 37885828, + 646897325, + 610869257, + 672293690, + 739552999, + 797064727, + 686888528, + 463246336, + 177445045, + 150368883, + 941180785, + 315063871, + -1, + 653460749, + 959672212, + 391760482, + -1, + 326642394, + 5531249, + 982013804, + 339082258, + -1, + 295190365, + -1, + -1, + 88840952, + -1, + 620347541, + 847970807, + 406098887, + 257431696, + 156377783, + 391314948, + 405475525, + 272588085, + 43883055, + -1, + 720256053, + -1, + -1, + 280881394, + -1, + -1, + 398558403, + -1, + 220753860, + 933404723, + -1, + 220281244, + 408474145, + -1, + 794142997, + 379760356, + -1, + 771709397, + 433087914, + 919383109, + 612041517, + -1, + 981032359, + 691395475, + 304086971, + 943069114, + 13500742, + 905798490, + -1, + -1, + 346389433, + 150203327, + 167047502, + 671484830, + 554685458, + 804208053, + 7718854, + -1, + -1, + 842845254, + -1, + 92193016, + 118843854, + 111062184, + -1, + 840596895, + 67167880, + -1, + 612443164, + 831652817, + -1, + -1, + 294218552, + 480422303, + 177788897, + 892003643, + 465790727, + -1, + -1, + -1, + 277455013, + -1, + 648319672, + 704752550, + -1, + 608716398, + 346008628, + -1, + -1, + -1, + 983994368, + 581440404, + 509711078, + 442420338, + 713312504, + 320041718, + 592645078, + 266316693, + 305541002, + 994034221, + 576256271, + 144813181, + 984836, + 399011254, + 395348938, + 13664711, + 87462600, + 118188556, + -1, + -1, + 299600528, + 884565195, + 550814821, + 782898105, + -1, + -1, + 75988640, + 790876147, + 360124127, + -1, + 413056142, + 436105236, + 138228879, + -1, + -1, + 161005351, + -1, + 403897685, + 937346935, + 212851296, + -1, + 139019135, + -1, + 949775748, + 95636998, + -1, + -1, + -1, + 964566360, + 354237541, + 473991845, + 320807516, + -1, + -1, + 264384542, + 60614135, + 69220256, + 832584069, + 699099180, + 103938262, + 156665658, + 248422498, + 632173863, + 515735262, + -1, + -1, + 103232816, + 200279649, + 92042850, + -1, + 763210502, + -1, + 434158685, + -1, + -1, + -1, + -1, + 83470472, + 695781757, + 553295326, + -1, + -1, + -1, + 169957977, + 248556560, + 620405902, + 112542782, + 821911359, + 611880053, + 676730901, + -1, + 832466903, + 737752273, + -1, + 655024136, + 704466538, + 48749334, + 868713137, + -1, + -1, + 951104261, + 369678548, + 866536489, + 650792789, + 439600834, + 204713106, + -1, + -1, + 212360340, + 815454932, + -1, + -1, + -1, + 214642912, + 409878680, + 564787371, + -1, + -1, + 289151391, + 246853084, + 208632339, + -1, + 17093781, + 847918269, + 279993335, + -1, + 934626833, + -1, + -1, + 245706286, + 975031297, + 629807102, + 160733992, + 973566261, + 35575157, + 688397803, + 519757477, + 944097251, + -1, + 245312763, + 982904434, + -1, + 255660959, + -1, + 207753292, + 882990061, + 82460408, + 462753329, + 400890771, + -1, + 717156245, + 366461876, + 767492685, + -1, + 777353401, + -1, + 923097841, + -1, + -1, + -1, + 354375410, + 451870903, + 870108210, + 638039366, + 965315750, + 417534640, + -1, + -1, + 224734552, + 386747231, + -1, + 598526145, + -1, + -1, + 173242595, + 525473523, + 288860, + 659866555, + 709079103, + 683111281, + -1, + 875857216, + -1, + -1, + 29415115, + 301121705, + 836856122, + 475144573, + -1, + 300147692, + 55659229, + 517310178, + 717511112, + 413786690, + 185849974, + -1, + 442860386, + -1, + 610066598, + 870727595, + 501625780, + 995855400, + 745741791, + 843770948, + -1, + -1, + 874662441, + 823049148, + 823884347, + 402189735, + -1, + -1, + 44627306, + 105318439, + 736286214, + 267516806, + -1, + -1, + -1, + 210266862, + 8892561, + -1, + -1, + 836974197, + 970054760, + -1, + 37141364, + 25766922, + -1, + 185936439, + 310235822, + 580177237, + -1, + 582254606, + -1, + -1, + 277916640, + -1, + 413665119, + -1, + -1, + -1, + 770619258, + 523363791, + -1, + 646472876, + -1, + -1, + 571429685, + 31190936, + 776488880, + -1, + 145842317, + -1, + 969482485, + 485118557, + 851585585, + 265008494, + 804826197, + 629208362, + 915858849, + -1, + 184225847, + 204808561, + 291956264, + -1, + 22701027, + -1, + 763574125, + -1, + -1, + -1, + -1, + 553133486, + 686699700, + 491670576, + 494411895, + 38244492, + 1021764, + -1, + -1, + 335858606, + -1, + 215368903, + 627503771, + 528286945, + 471598531, + 638301221, + 937961410, + 919524252, + 200880320, + -1, + 148388121, + -1, + 259830779, + -1, + 750597260, + 842414610, + 456285026, + 705100532, + -1, + -1, + 962922914, + 426520856, + 21800040, + 567114684, + -1, + -1, + 841403208, + -1, + -1, + -1, + 173007800, + 604282342, + -1, + 459354854, + -1, + 145462338, + 349060770, + 686217773, + 737852689, + 87774598, + 997152155, + 219835525, + 624527118, + 946550186, + 44758972, + 632632844, + -1, + -1, + 969452473, + 941336916, + 527930556, + 63396919, + -1, + 36058768, + 216247498, + 798395685, + 649777436, + 592213864, + 976470404, + -1, + 600956791, + 625290926, + 338090041, + 813935797, + 164023609, + 286535775, + -1, + 131802275, + -1, + -1, + 815881201, + -1, + 950450729, + 708654807, + 704265643, + -1, + -1, + -1, + 706783184, + 701059100, + 745245482, + 625570983, + 297419080, + -1, + -1, + 417552160, + 681757215, + -1, + 12382362, + 534404483, + -1, + 307946255, + -1, + 396539325, + 240862618, + 541690686, + 391346566, + 550380069, + -1, + -1, + 240598839, + 999385065, + -1, + 16031314, + -1, + 253955496, + 11747600, + -1, + -1, + -1, + -1, + 151990491, + 622278706, + -1, + -1, + 84185836, + 155186992, + 879965180, + 794652387, + 429301623, + 469429679, + 875170114, + 9852009, + 744626390, + 521748888, + -1, + 830455864, + 105210518, + 180058025, + 43002765, + -1, + 77839614, + 776459199, + 860150645, + 467983690, + -1, + 969047820, + -1, + 123143431, + -1, + 860625354, + 5056982, + 559814315, + 405245052, + 260826270, + -1, + 21284247, + 281871974, + 630650766, + 213521402, + 393039144, + 288605472, + 557315143, + -1, + 492119670, + 745769670, + 271509639, + -1, + -1, + -1, + -1, + 513171149, + -1, + -1, + 749424828, + 150322738, + 147912968, + -1, + 744679211, + 683711768, + -1, + 542679669, + 279389321, + -1, + -1, + -1, + -1, + 378035738, + -1, + -1, + 276740617, + 945969700, + 892364601, + 515046690, + 709096728, + -1, + 462002958, + 159958401, + -1, + 935178689, + 796463487, + 412313851, + 583252022, + -1, + 300962861, + -1, + 19737195, + 648674127, + 42387244, + 410119920, + 163111500, + -1, + -1, + 19200392, + 868271664, + -1, + 155000367, + -1, + 752582131, + -1, + 44627469, + 803773656, + 255689202, + -1, + -1, + -1, + 275345084, + -1, + 808262891, + 32405723, + 180983326, + 673901748, + 515144395, + 338572579, + 660186999, + 445956480, + 863574122, + 718318557, + 232316295, + 551927762, + -1, + -1, + 868646974, + -1, + 917398377, + 908055683, + 325471473, + -1, + 523024461, + 25108677, + 475653675, + -1, + -1, + 14453876, + 348901395, + 470637125, + 303128500, + 407678358, + 756364423, + 575495463, + -1, + -1, + 828098959, + 646536617, + 457779129, + 627110477, + 382078277, + 29629348, + -1, + 233589709, + 283184666, + -1, + 223278175, + 479293008, + 854239457, + -1, + 345979598, + 264918548, + 303336882, + 680306392, + 135353820, + 624943819, + 436758300, + 348370858, + 111266909, + -1, + 426953189, + -1, + 582837534, + 455910625, + 822996461, + 269925241, + 195027223, + 945500345, + -1, + 913343199, + -1, + 127066, + 88527121, + -1, + -1, + -1, + -1, + 160988197, + -1, + 472247242, + 259273233, + 225222687, + -1, + 482771894, + 470448696, + 613382, + 34067314, + 829766314, + 894522475, + 243305618, + 81912909, + 282367712, + 719096728, + -1, + -1, + 622915509, + -1, + 753585798, + 953153114, + 828505387, + 102796317, + 404742798, + -1, + -1, + 469496439, + 974251719, + -1, + 767797214, + 473029300, + 336935145, + 452195865, + 426081086, + -1, + 529952198, + 741344904, + 258776283, + -1, + -1, + 137885558, + 338159184, + 698765693, + 693276777, + 388035407, + -1, + -1, + 715283918, + 196000652, + 673733299, + -1, + 36651624, + -1, + -1, + 31160400, + -1, + -1, + -1, + 820456460, + 698146338, + -1, + 926996118, + 837882602, + 659428350, + 153236238, + 242414114, + -1, + -1, + 499616663, + -1, + -1, + 976900811, + -1, + 466526087, + 763625014, + -1, + -1, + 319484686, + -1, + 820618102, + -1, + 33164135, + -1, + 177755911, + 981624855, + 628730803, + 945521411, + -1, + 426805047, + -1, + 660716035, + 754494244, + 180555981, + 186032958, + 254853035, + -1, + -1, + 404231203, + -1, + 859266493, + -1, + 387997985, + 574374514, + 612175348, + -1, + 341217897, + 688793584, + 542401129, + -1, + 242766289, + -1, + -1, + -1, + -1, + 92192771, + 159409893, + 472906420, + -1, + 370098834, + 727626196, + 151932007, + -1, + 299411170, + -1, + 36619359, + -1, + 165362459, + 8755603, + 65503675, + 110880472, + 336399777, + 904154764, + 553903228, + 871405653, + 639528384, + 815150802, + -1, + -1, + -1, + 194159937, + -1, + -1, + -1, + 338977292, + 270413125, + 999005282, + 313210760, + 952610672, + 1694559, + 46657128, + 742657418, + 896710473, + 866868304, + 393746917, + -1, + -1, + 365131448, + 890469835, + 701092500, + -1, + -1, + 490201751, + 329900862, + 824717991, + 865222117, + -1, + 926991415, + 445888028, + 797236806, + 257265636, + 325336488, + 580103309, + 292288071, + 254066718, + -1, + 665031432, + -1, + 371084748, + -1, + -1, + 305780302, + 245949824, + 278227276, + 66064033, + 574546681, + -1, + 9354006, + -1, + -1, + 299896424, + 311397132, + 940364188, + -1, + 181214377, + 244503759, + 773567858, + 823255723, + 246594106, + 468634318, + 966541462, + 127774873, + 504830427, + 778252664, + 441401041, + -1, + 856900608, + 389962776, + 365942981, + 985200790, + 383747268, + 828891936, + 965448180, + 365744004, + 48488335, + 950856871, + 608680567, + 319450124, + 238517951, + 134609905, + 539940847, + 272046377, + 93596341, + 60731654, + 808890954, + -1, + -1, + -1, + 915123281, + -1, + 970513170, + -1, + 751464328, + -1, + 843761093, + 873175140, + 150511516, + 437931764, + 938432328, + 788285919, + 4267738, + 804547064, + -1, + -1, + 433787252, + 238043559, + 837387727, + -1, + -1, + 925183235, + -1, + 671396413, + 865680488, + -1, + 331190028, + 834861922, + 350434565, + -1, + 259335076, + -1, + 191928596, + 458163980, + 153029553, + 441382250, + 305721168, + -1, + 326139870, + -1, + 158815289, + 262464603, + 832883833, + -1, + 526456201, + 6320492, + 7677839, + -1, + 168676430, + -1, + -1, + -1, + 651286666, + 236188549, + -1, + 890765861, + 568754736, + 493728710, + 209169126, + -1, + -1, + 7566549, + 315127349, + 642895111, + 514360861, + 982801198, + 574345022, + 747159365, + -1, + 132561301, + -1, + -1, + 531483438, + 297795214, + 868884249, + -1, + -1, + 648953195, + 110094553, + 663079867, + 444905024, + 719191242, + 594268584, + 776036857, + 552728797, + -1, + -1, + 546450285, + -1, + 372871225, + 750744331, + 834592547, + 351827205, + -1, + -1, + -1, + -1, + 149216829, + 401871990, + 405542653, + -1, + -1, + -1, + 223742326, + -1, + 878162748, + 345630155, + 754267665, + -1, + 611373957, + 208015711, + -1, + 797525055, + -1, + 43173700, + -1, + 708393190, + 776354791, + -1, + 367271871, + 891203772, + -1, + 250029945, + 509783949, + 984699406, + -1, + 107770238, + 840778912, + 382219658, + -1, + -1, + 410269667, + 537204302, + -1, + 176034337, + 818179492, + 174508911, + -1, + -1, + 354267143, + 62072823, + 304996776, + -1, + 589002809, + -1, + 367192286, + 118938298, + 446910148, + 4866639, + 949295243, + 556328432, + -1, + 315632664, + -1, + -1, + -1, + 203643760, + 95052822, + -1, + 375243188, + 596712797, + 448051933, + 858856168, + 308261964, + 622344226, + 623072973, + 640858765, + 146539430, + -1, + 201264388, + -1, + 735715959, + 831491871, + 30745576, + 660657733, + 718983475, + 746451525, + -1, + 677133817, + -1, + -1, + 856723121, + -1, + -1, + 114035476, + 880602798, + 740348308, + 567727314, + 331674606, + 621024112, + -1, + 748336996, + 916719268, + 116371274, + 611630369, + 965647508, + -1, + 590520762, + -1, + 927118157, + 292708058, + -1, + -1, + -1, + 412224306, + -1, + 295443500, + 397521511, + 206151058, + 253571513, + -1, + 893138961, + 127080281, + -1, + 467661237, + -1, + 725868790, + -1, + -1, + 686401002, + -1, + -1, + 277987319, + 782450930, + 104477625, + 153626262, + 727053518, + 675911938, + -1, + 480001001, + -1, + -1, + 82820515, + 468790449, + 818845341, + 402715559, + -1, + -1, + 890217891, + 991501213, + 732895593, + -1, + 458099752, + -1, + -1, + 817767370, + -1, + 376012505, + 844889157, + 675760416, + 28197980, + 183521135, + 986642968, + 407373224, + 674129870, + 849095032, + 66639714, + -1, + 561362318, + 300158142, + 994814884, + -1, + 699004994, + 770408418, + -1, + -1, + 958086520, + 323729528, + 467658381, + -1, + -1, + 567807074, + 84416112, + 967803905, + 849565416, + 115019071, + -1, + -1, + 500754158, + 14312286, + 132304190, + -1, + 494903874, + 394081725, + 392560992, + 184350542, + 694983498, + 473434871, + -1, + 845611311, + 905132753, + -1, + -1, + 238048646, + 162165626, + 515967262, + 700422411, + 946700520, + 71504389, + 752018633, + -1, + 760609823, + -1, + -1, + -1, + 95257489, + 344051672, + 509979040, + 92842803, + 23024128, + -1, + 174976751, + -1, + 447938599, + 927965270, + 271311197, + 907129925, + 839609697, + -1, + 918022932, + -1, + -1, + 327399540, + 372290678, + 151908724, + 852952767, + -1, + 522570239, + -1, + 581528897, + -1, + 748867167, + 275707744, + 46285123, + 700527196, + 224769683, + 282338281, + 724336515, + -1, + -1, + -1, + 288047676, + 588539328, + 134527079, + 43012959, + 66170589, + -1, + 749235592, + -1, + 202010670, + 898994890, + -1, + -1, + -1, + 73525380, + -1, + 221386814, + -1, + 96928038, + -1, + -1, + 635021124, + 421455701, + 618074488, + -1, + 677875051, + -1, + -1, + -1, + 561097196, + 722720673, + 500419179, + -1, + 839343410, + -1, + 514887626, + 439378635, + 23157591, + 385898058, + 920884323, + 769639715, + -1, + -1, + 307455226, + -1, + 687869494, + 507478613, + 547680736, + 734362277, + 800136967, + 281890729, + 579149934, + 207899994, + 110611086, + -1, + 403582257, + -1, + -1, + 427861412, + 111578918, + 275660599, + -1, + -1, + 806351899, + 762946631, + 555219763, + 843993377, + -1, + 975774938, + -1, + 970934372, + -1, + 210743379, + 317187047, + -1, + -1, + 105733096, + 454937403, + 745383457, + 707907919, + 383306020, + 593348202, + 928943533, + 678135140, + -1, + 550824337, + 418936000, + -1, + -1, + 908951067, + 994317557, + 750426188, + 663320051, + -1, + 303027526, + -1, + -1, + 40886174, + 967529840, + 669120740, + 373234649, + -1, + -1, + 331426296, + 883841328, + 414911819, + 146312194, + -1, + 331124720, + 636326135, + -1, + 727885985, + 50768905, + -1, + 751910523, + -1, + -1, + 210727748, + 662494990, + 693453520, + 863556151, + 346582865, + -1, + 293209481, + -1, + 594286730, + 14165335, + 973457580, + -1, + 182512946, + -1, + -1, + 636630582, + 954803894, + -1, + -1, + 927486649, + 550366449, + -1, + 143443944, + -1, + 215274748, + 649087864, + 277837246, + -1, + 389417350, + 283286929, + 714196638, + 276953846, + -1, + -1, + -1, + 920426272, + 695107175, + -1, + 129109695, + -1, + 421463027, + -1, + 918601480, + 17147334, + 60103842, + 253493873, + -1, + 899257555, + 927736508, + 230838037, + 812055617, + 321000009, + -1, + -1, + -1, + 117976408, + -1, + 150102974, + 112450331, + 527829540, + 388219510, + -1, + 161549899, + -1, + 106546124, + 494357246, + 650312372, + 639720711, + 34873884, + 345845023, + 513321259, + 221287619, + 29345461, + 41541562, + -1, + -1, + 446063175, + 139430616, + 901174694, + 44127978, + 141950105, + -1, + -1, + 482737491, + 350096839, + -1, + 180367521, + 488971395, + -1, + -1, + 419078794, + -1, + 676740788, + 682614700, + 525212739, + 640747423, + 568107531, + 426535745, + 116763814, + 650819604, + 397930428, + 45145898, + -1, + 578187549, + 346755077, + 527468540, + 391116661, + -1, + 225327606, + -1, + 858714963, + -1, + 743437112, + 527659157, + 895489741, + 35566591, + -1, + 980990954, + 545404126, + 405887682, + 404380928, + 778320940, + 902976049, + 936446942, + -1, + -1, + 984405386, + 938647600, + 53043819, + -1, + -1, + 788539343, + -1, + 672170580, + 239925788, + 85747706, + 672387626, + -1, + 626443106, + -1, + 584415077, + 335004956, + -1, + 807938436, + -1, + 848701386, + 307798366, + -1, + 540753337, + 183633393, + 446708398, + 972557031, + 566731446, + 927554848, + -1, + 681661278, + -1, + -1, + 139240827, + 428671973, + 380722666, + 86997584, + 893283787, + 978716769, + -1, + 314658556, + 595644044, + -1, + -1, + 200559422, + 743600971, + 934132115, + 257323502, + 348804004, + 441035962, + 864203912, + 293119735, + 849004329, + -1, + -1, + 351396682, + 432841474, + 660009921, + 792883830, + 782979685, + 640240408, + -1, + -1, + 765800886, + 982296883, + 164033761, + 100759556, + 40476493, + 246032749, + -1, + -1, + 284897771, + -1, + 164112237, + 59411845, + 628318784, + 147000755, + 691699811, + 743781547, + -1, + 779765563, + 43353433, + -1, + 647816747, + 719056149, + 826628023, + 893355027, + 132912955, + -1, + 36753074, + -1, + 508750548, + -1, + 605664743, + -1, + 649214825, + 683561952, + 862953827, + -1, + 417150087, + 575400687, + -1, + 842448069, + 257290260, + 875630281, + -1, + 332492431, + -1, + 981540078, + 143217648, + -1, + 775719688, + 279879953, + 107414633, + 779160775, + 154239103, + 288206189, + 681201307, + -1, + 863240147, + 240758080, + 301959290, + 940271017, + 430281179, + 923537669, + 450865773, + -1, + 123902122, + -1, + 307419097, + -1, + 518560209, + 260206079, + 861956403, + 167795389, + 424980212, + -1, + 374615724, + 169150292, + -1, + 565816240, + 22412715, + 485400085, + -1, + 326232053, + 964501825, + 407758544, + 842184496, + 781383209, + 966074008, + 124942816, + 183842147, + 74393048, + 716781094, + -1, + -1, + 410488438, + -1, + -1, + -1, + 665470091, + 124438798, + 983534242, + 260793086, + 357240794, + -1, + 147844457, + 125316098, + 193777931, + -1, + 532493174, + -1, + 7301235, + 111545658, + 374784312, + -1, + -1, + 530866547, + 446470141, + -1, + 128077908, + -1, + 423994544, + 609297531, + 326161336, + 463808174, + -1, + 324407172, + 681661345, + 549329791, + -1, + -1, + 744391791, + 73441587, + -1, + 919442689, + 137752160, + 703516068, + -1, + -1, + 711612581, + 682095502, + 85887352, + -1, + 566009341, + 665869342, + 381642917, + 703430425, + 189173628, + -1, + 158665889, + -1, + 442289637, + 230214504, + 85278594, + 704921289, + 38202314, + -1, + 920033829, + 804853488, + 477458495, + -1, + 965222591, + 662690633, + 20906697, + 305669675, + -1, + 62864729, + -1, + -1, + 722932576, + -1, + 738230963, + -1, + 815911103, + 741216129, + -1, + 282442685, + 920267894, + 881473167, + 7092499, + 115216598, + 756732100, + 622940815, + -1, + 146786848, + -1, + -1, + -1, + 176543244, + 34307726, + 513041801, + -1, + -1, + 479899773, + -1, + 332151993, + 424058513, + 948640436, + 253167658, + 295572488, + -1, + 180164485, + 618271057, + 838216299, + -1, + -1, + -1, + 622102515, + -1, + 136883007, + -1, + 528938109, + -1, + 399726192, + -1, + -1, + 827028267, + 742291554, + -1, + 175434815, + 507425374, + 332835428, + 669067573, + -1, + 479023025, + 639948643, + 512617137, + 858706094, + 355656386, + 121065523, + -1, + 553354360, + -1, + 571356969, + 194837504, + 45137363, + -1, + 270456702, + 241513113, + 199390743, + 557486700, + -1, + -1, + -1, + 704579678, + -1, + 324580940, + 513964111, + 248634960, + -1, + 62666135, + -1, + 445357452, + -1, + 837396479, + 177527661, + 513503363, + 256379452, + -1, + -1, + 389154641, + 216266499, + -1, + 132124994, + -1, + 10919604, + 872411998, + 868899660, + 911448976, + 412189515, + 762063439, + 426814582, + 804934987, + 43613963, + 219310657, + 794354226, + 312533378, + 911778398, + 573384477, + 97279830, + 527003007, + -1, + 514847702, + 526110082, + -1, + 854638544, + -1, + 53849408, + 872805581, + 143810845, + -1, + 972762968, + 25959278, + 848716755, + 762490428, + -1, + 928934273, + -1, + 388463905, + 14115583, + 402566345, + 150022349, + 5584724, + -1, + 13095130, + 275336458, + 371158245, + -1, + 470200063, + -1, + 580608462, + 820113483, + -1, + -1, + 538209473, + 484442243, + -1, + 280867292, + 513201795, + 688345870, + 662752910, + -1, + -1, + -1, + 442558988, + -1, + 880987567, + 976308166, + -1, + -1, + -1, + -1, + 834555548, + 656840103, + -1, + -1, + 423521293, + 56944044, + -1, + 689742653, + 937032543, + 343791972, + 755073639, + 349101674, + 478704107, + 197137925, + 274465396, + -1, + 825883738, + -1, + -1, + 866256174, + 65099325, + 994902344, + -1, + 561660684, + -1, + 899949575, + 290401734, + 154749176, + -1, + 478992773, + 557138092, + -1, + 625018375, + -1, + 521481054, + 289181826, + 132828780, + -1, + 288368245, + 907790615, + -1, + 999307374, + 533423580, + 345755343, + 417622557, + 172714958, + 207300256, + 216879013, + 556419055, + -1, + 105710440, + 509192012, + 199585231, + -1, + 422786635, + 486604168, + 269292553, + 67755384, + 254016082, + 71258440, + 212570000, + 513194761, + -1, + -1, + 426050674, + -1, + 744438161, + 378063063, + 38234340, + -1, + -1, + 612435315, + 536528106, + 950151991, + 891236641, + 728223194, + 153362185, + 366225659, + 239737599, + 235016943, + 893155099, + 948796243, + 323431954, + -1, + 452454511, + 412684845, + 707109096, + 918400356, + -1, + 790522526, + 685650596, + 788217131, + 238250120, + 769630652, + -1, + 253618781, + -1, + -1, + -1, + 515777438, + 177373247, + 408854307, + -1, + -1, + 325348893, + 671189182, + -1, + -1, + 328349850, + -1, + 603169000, + 990927278, + 53321373, + -1, + 55391492, + -1, + 667558914, + 494202175, + 419982012, + 262062966, + -1, + -1, + 305728299, + -1, + 678373633, + 977386055, + 895428317, + 270349773, + 165461662, + 690838911, + 516741495, + 659792400, + 769181857, + 870046455, + -1, + 880128010, + 902869849, + -1, + 520247229, + 275468399, + 817062087, + -1, + -1, + 931260872, + 204329077, + 983837835, + -1, + 230416666, + -1, + 322082207, + 671622584, + 728435048, + 596181303, + 732191988, + -1, + -1, + -1, + 598757616, + 392771777, + 984409002, + 30045481, + 23336788, + 979446341, + -1, + -1, + 66378779, + -1, + 509404311, + -1, + -1, + 475557361, + 361813423, + 786522008, + 827318841, + 974468425, + 272878889, + 417116030, + 59073645, + 493292738, + -1, + -1, + 315512057, + 958471618, + 495723369, + 613799858, + 50755489, + 363773148, + -1, + 750818282, + 623649245, + 705936007, + 296325624, + -1, + 387000954, + 413832201, + -1, + 430826677, + -1, + 214022840, + 880550606, + 68917336, + 438484899, + 695863089, + 435731904, + 690200137, + 470251787, + 885879811, + 374982408, + 562448806, + 969851915, + 629938826, + 224707426, + 854426970, + 652990881, + 498320325, + 51592552, + 419088061, + -1, + 606370044, + -1, + 482607927, + 271791669, + 401747062, + 468195661, + -1, + -1, + 968315302, + 658831673, + 732195710, + -1, + -1, + 358621201, + 184583548, + -1, + 213182423, + 948392754, + 100899758, + 635133900, + 745487911, + 639052402, + 969486228, + 406810358, + 967739788, + 594823950, + 88129243, + 884475512, + 367897605, + 134642061, + 265213675, + 953350700, + 718504842, + 593114464, + 306838600, + 947954981, + 733403471, + -1, + -1, + 295179398, + 161547661, + 745148062, + 14731913, + 986224636, + 381629232, + 666936590, + 525862693, + 733204028, + 158169631, + 697440858, + 336686589, + 513968629, + -1, + -1, + 764184354, + 579038444, + 759589799, + 660681946, + 351915107, + 755507011, + -1, + -1, + 751055206, + -1, + 237955430, + 424646045, + 555872502, + 821248900, + 567557267, + 557170332, + -1, + 854663649, + 798880456, + -1, + 645611923, + 906226116, + 243703739, + 241927765, + -1, + 458191950, + -1, + 235097824, + -1, + 452952092, + -1, + 565815714, + -1, + 111005529, + 819352966, + 792829765, + 237940705, + 855629494, + 306309775, + 16707124, + -1, + 701693910, + 225918984, + 373352537, + 322890071, + 957014244, + 48327356, + 829323120, + 409060067, + 309573677, + -1, + -1, + -1, + 832170669, + 414509601, + 670629062, + 87288415, + 215730049, + 478395312, + 168187224, + 868321970, + 640151188, + -1, + 282815525, + 194339364, + 273461466, + 372443511, + -1, + 132350688, + -1, + 52153831, + 678824680, + 24985997, + -1, + 531772428, + 60346276, + 521784481, + 902318061, + -1, + -1, + -1, + 841376431, + 761838156, + 285177893, + 200368918, + -1, + -1, + 224174125, + -1, + 579477112, + 684551894, + -1, + 624077949, + -1, + -1, + -1, + -1, + -1, + -1, + 318307740, + -1, + -1, + 524888532, + 206042421, + 693370545, + 750004139, + 277747712, + 502630456, + 192049948, + 262141064, + 9193407, + 830835739, + -1, + -1, + 796069601, + -1, + -1, + -1, + 573140607, + -1, + 829387395, + 674540821, + -1, + 762492247, + 292831769, + 168008511, + 753257917, + -1, + 135744779, + -1, + -1, + -1, + 878109656, + -1, + 599796296, + -1, + 1917207, + 873295348, + 437481337, + 812798494, + 644658051, + 131721236, + -1, + -1, + 127048188, + -1, + -1, + 166462115, + 823599130, + 796559261, + 448216558, + -1, + 728886679, + -1, + 743755144, + -1, + 329991020, + 69228329, + 228416802, + 267406284, + 922886747, + 881562528, + -1, + -1, + 888897245, + -1, + 374707037, + 131186566, + 571792133, + 403590379, + -1, + 918028033, + 461285339, + 679084560, + 24310191, + 730582515, + 878265276, + 603110906, + 350150198, + 859221741, + 874262523, + -1, + -1, + -1, + -1, + 436932591, + 377558693, + 941288648, + -1, + 341234987, + -1, + 654331083, + 699020870, + 940501857, + -1, + 39549353, + 245911986, + -1, + 763257906, + 724817500, + 855022145, + 638594708, + -1, + 461613199, + 701557858, + 397171092, + 230393939, + 614113739, + 923374082, + 938814211, + 13643886, + -1, + -1, + 412677097, + -1, + -1, + 129696828, + 586371875, + 397429611, + 677285972, + 679188886, + 423661392, + 851450105, + 919865485, + -1, + 948711727, + -1, + 622148154, + 626530124, + 194977531, + -1, + -1, + 935364431, + -1, + 249590289, + 624709610, + 796137316, + -1, + 834556423, + 247441213, + 699751072, + 995844798, + 23275773, + 872262649, + 183505696, + -1, + -1, + 348409755, + 999545434, + -1, + 263468658, + 563463607, + 479007661, + 985701119, + 448162511, + 562662280, + -1, + 394748148, + 92047036, + 937719218, + 933104512, + 480151310, + -1, + 37921190, + 308086932, + 434034950, + -1, + -1, + 447630711, + 96041623, + -1, + 777469594, + 541732282, + -1, + 493862022, + 514921370, + 962073445, + 828988023, + 20310197, + 478315151, + 38763203, + 66504173, + 259775485, + 120706409, + 299811796, + 972511907, + 933644872, + 281083133, + 740614235, + 763714633, + -1, + 966235984, + 894090720, + -1, + 24984568, + 960986322, + 662956220, + -1, + 785997814, + -1, + -1, + 191919964, + 877299898, + 560598165, + 881788393, + 443935674, + 38297159, + 357117596, + -1, + 918358378, + 839323649, + 42615371, + -1, + 189418421, + -1, + 183712623, + 829048865, + -1, + 967881312, + 383352354, + 523591605, + -1, + -1, + -1, + 903512710, + -1, + -1, + -1, + -1, + 866424530, + 892926362, + 38034686, + -1, + 162702340, + 329693346, + 411111104, + 267319643, + 750360888, + 347895160, + -1, + 399135004, + 297188698, + -1, + 266753522, + 337042990, + 535070692, + 745303504, + 177403243, + 796088277, + -1, + -1, + 269857843, + 144278756, + 341603488, + 380587242, + 93013195, + 634924398, + -1, + 952331553, + 189152432, + 111194893, + 985732875, + 878785929, + -1, + 625296701, + 885203169, + 100867349, + 123183545, + 874178554, + 970342205, + 743742218, + 332959525, + -1, + 650159535, + -1, + 937527170, + -1, + 334346053, + 820520072, + -1, + 821683650, + 564044087, + -1, + 585427240, + 257367940, + -1, + 84783674, + 892188976, + 824490245, + -1, + -1, + -1, + 572763720, + -1, + -1, + 329387936, + -1, + 13819675, + 303421786, + 179976703, + 658564999, + 704726537, + -1, + 827464457, + 292919050, + 528415866, + 438529123, + -1, + -1, + -1, + 721209672, + 860692231, + 597655117, + 319772215, + 183126173, + 198875004, + -1, + 805007671, + 809165427, + 403122088, + 748462648, + 489048000, + 399078920, + 200569585, + 224360510, + 380872174, + 111047237, + 672762514, + 27989334, + 299750490, + 287132813, + 526716921, + -1, + 626513231, + -1, + 615358765, + 240680887, + 91039707, + 814902355, + -1, + -1, + 45638823, + -1, + 983198021, + -1, + 469330911, + 784456117, + -1, + 792271037, + 60660732, + -1, + 909382815, + -1, + 567650909, + 228156865, + -1, + 528550565, + 527619297, + 98961646, + 230557288, + -1, + 28577615, + 809525474, + 652570178, + 623867656, + -1, + 388248027, + 433049809, + 146987768, + 863574241, + -1, + 5387282, + 464340506, + 96590029, + 817937846, + 554737706, + 642750291, + -1, + 111188552, + 795004600, + -1, + 797887533, + 304958575, + 991212847, + 19394192, + 666518553, + -1, + -1, + 822338707, + 872023234, + 234434142, + 881473464, + 46470678, + -1, + -1, + 830899611, + 513993187, + 306946245, + 303350225, + -1, + 72868160, + 224559545, + 613431146, + -1, + -1, + 149614126, + 445666103, + 933513658, + 266104357, + 532076835, + 260134434, + -1, + 686936276, + -1, + 376240318, + -1, + 83420897, + 355176913, + 637654996, + -1, + 971831076, + 51313254, + 650381835, + 143428243, + -1, + 971859046, + 864279184, + -1, + -1, + -1, + -1, + 694734375, + 226760714, + -1, + 704309283, + 858446820, + 526185850, + 503074105, + -1, + 871402300, + 128100860, + 675014797, + 115443574, + 712212163, + 962468008, + -1, + 148130952, + 951601248, + -1, + 370831855, + 103097966, + -1, + 912392095, + 24591924, + 221202910, + -1, + 430970249, + -1, + -1, + 891518236, + 950501909, + 92259859, + 831800541, + 214327631, + 796730553, + 582862729, + 913754928, + -1, + 489233107, + 689340404, + 260229040, + 569575413, + -1, + 174573091, + 964025939, + 634192434, + 913576223, + 529528955, + 83961667, + 5828905, + -1, + 54167768, + 460654474, + 723127228, + 99487070, + -1, + 948625260, + -1, + -1, + 902704132, + 268388388, + 662126673, + 967889474, + 676003802, + 994806318, + -1, + 652787503, + -1, + 173230418, + 515862232, + -1, + 794707752, + 655259822, + 699754149, + -1, + 432481632, + -1, + -1, + -1, + 246219949, + -1, + 263829562, + 952564445, + 634494551, + 866693253, + 200789535, + -1, + -1, + 853112798, + 511285376, + -1, + 20687036, + 467434014, + 680219668, + 705599316, + 318912763, + -1, + 693264554, + 217596904, + 820550689, + -1, + 695975870, + 11388859, + 388361297, + 52352503, + 706377233, + 69662503, + -1, + 209806050, + -1, + -1, + 868381869, + -1, + 996589733, + 377754511, + -1, + -1, + 741036800, + -1, + -1, + -1, + 294678349, + -1, + -1, + 644094048, + 659648639, + 238423681, + 440933931, + 931884606, + -1, + 392793063, + -1, + 459229397, + 301384532, + 479013022, + 528834466, + 343358110, + 631854505, + -1, + -1, + 379317578, + 147489279, + 842914903, + 326512247, + 771831535, + 776321567, + 438327540, + 231614048, + 334755909, + 97754660, + -1, + 544493269, + 788947042, + -1, + 704116731, + 771441566, + 30627532, + 108065539, + -1, + -1, + 437008370, + -1, + 180783831, + -1, + 724578572, + 44100118, + 722304449, + 741203340, + 25147992, + 457649173, + -1, + 416717863, + -1, + 242220428, + -1, + -1, + 989824969, + -1, + 952441847, + 708870524, + 528061710, + -1, + 388544204, + 103521738, + 707259918, + 567821924, + 97185069, + -1, + 227775699, + 498970697, + 606176304, + 583682955, + 914981773, + -1, + -1, + -1, + 232284824, + 425371510, + 203697025, + 128582580, + -1, + 378756498, + 682127848, + 463713565, + 193858914, + 31769762, + 673157387, + 782401377, + 161154007, + -1, + 469822179, + -1, + -1, + 817769649, + -1, + -1, + -1, + 996227269, + 348716049, + 683951630, + 844462939, + -1, + 840204071, + 360786643, + 945995172, + 160302494, + 772288679, + -1, + -1, + 166129522, + 17427200, + 100484441, + 753306794, + 150248946, + 540414914, + -1, + -1, + 453416995, + 357775220, + -1, + 840116584, + -1, + 179339422, + -1, + -1, + -1, + 267421019, + 773542375, + 632622996, + 667718933, + 223568329, + 31260281, + 95691860, + 713855122, + 684477021, + -1, + -1, + 80866832, + 752672604, + 741666894, + 503916337, + -1, + 528356851, + -1, + 610451666, + -1, + -1, + 442028106, + -1, + 747588206, + 689889096, + -1, + 534510271, + 983164679, + -1, + 64929423, + -1, + -1, + 770767997, + 182750650, + 970347003, + -1, + 173374219, + -1, + -1, + 54628319, + -1, + 69947019, + -1, + 792097827, + 558562875, + -1, + 695152695, + 686556189, + 404518219, + 24025124, + 324568212, + 287647309, + 326497708, + 842535867, + 739354190, + 599844946, + 363265772, + 131455969, + 932112229, + 567597462, + 417534747, + -1, + 802379377, + 581303017, + -1, + -1, + 808937921, + -1, + 747781434, + -1, + -1, + -1, + -1, + 682876736, + 439355251, + -1, + 632941341, + 185150769, + 38699779, + -1, + 361067658, + -1, + 616161693, + 799617727, + -1, + 508885231, + 952362631, + 548235261, + -1, + 433726436, + -1, + 205504235, + -1, + -1, + -1, + 916302128, + 472922317, + 207689014, + 620891763, + -1, + 381946477, + 318135211, + 292867763, + 489734471, + -1, + 547790078, + 988923200, + -1, + 368046134, + 814772507, + 264745840, + 909373025, + 320523824, + -1, + -1, + 187275322, + -1, + 996228495, + 29312587, + -1, + 378644600, + 195727535, + -1, + 759749703, + -1, + 565245304, + -1, + -1, + -1, + 788558637, + 956840009, + 176267772, + 175202756, + -1, + 423726444, + 960365558, + 984867448, + -1, + -1, + 385895607, + -1, + 17883543, + 749822404, + 935340459, + 848465591, + 48296106, + 893906628, + 731315422, + -1, + 749745615, + -1, + -1, + 206402631, + 242967753, + 306998147, + 180730474, + 230589926, + -1, + 168357061, + 557878124, + 855239625, + 565404441, + -1, + 318467451, + -1, + -1, + 337227791, + -1, + 132621913, + 50168426, + -1, + -1, + 143860794, + 902182741, + 732889894, + 579595719, + 128304782, + 621895399, + -1, + 399770150, + 382245778, + 673665629, + 549718145, + 360582725, + 975208921, + 783012208, + -1, + 384590045, + 117260136, + 854420537, + 938327832, + -1, + 575140634, + -1, + 344884426, + 714433266, + 383250238, + 706559534, + 349483403, + 112710451, + -1, + -1, + -1, + 916523979, + 280895995, + 931195935, + 597451645, + -1, + 359007094, + 177233805, + 977559771, + 656321416, + -1, + 179557444, + 132549967, + -1, + -1, + -1, + 146192677, + -1, + 785286349, + 609534687, + -1, + 784550865, + 348944426, + 934775643, + 933028783, + 430171905, + 835010517, + 118215872, + -1, + 681695835, + 977150178, + 620397445, + 112551397, + -1, + 520391080, + 890904710, + -1, + 325815902, + 217131156, + 968855167, + 660027384, + 179311195, + 924857642, + 471797494, + 661962643, + -1, + 65966738, + 720883671, + 178316497, + -1, + 407628659, + 731762869, + -1, + 445647407, + 754959703, + -1, + -1, + 920389939, + 533607723, + -1, + 543054245, + 947537839, + -1, + -1, + 533490888, + 726569586, + 254772602, + 654263049, + 959574823, + 372878281, + 827162022, + -1, + -1, + -1, + 637269842, + -1, + 827456941, + -1, + 897133769, + 35220437, + -1, + 472073184, + 951877376, + 887567135, + 776259662, + 530408146, + -1, + -1, + -1, + 237076558, + 695190777, + -1, + 896453358, + 689767711, + 73466748, + 90835358, + -1, + -1, + 488073786, + 449351649, + 162735624, + 949518741, + -1, + 974274306, + 958909581, + 139928315, + 568252660, + 537271710, + 459476719, + -1, + 967762284, + 159192599, + 227899805, + 180564331, + -1, + 776841255, + 976047724, + 623162479, + -1, + 570433802, + -1, + 634654006, + 323006577, + -1, + 582458799, + -1, + 280572582, + 468566343, + 336563658, + -1, + -1, + -1, + 776544338, + 99217782, + 728779022, + 491074726, + 242577126, + 467457331, + 284448209, + 529853974, + -1, + -1, + -1, + 365523242, + 764715792, + 673980922, + 222890193, + 191368892, + 764169431, + 191081901, + -1, + -1, + 487096859, + 988371537, + -1, + 244803584, + -1, + 996261897, + -1, + -1, + 761911160, + -1, + -1, + 607683844, + 434695014, + 294049520, + 346199399, + 853931516, + 50545593, + 654087772, + -1, + 552569591, + -1, + 803670000, + 420616799, + 296421666, + 814060141, + -1, + -1, + 901929464, + -1, + -1, + 100749188, + 615645760, + 239226726, + -1, + 640424843, + -1, + -1, + -1, + 553702913, + 938373262, + -1, + 70009383, + 617324902, + -1, + 159626956, + 317799792, + 380943765, + 455468104, + -1, + 135822661, + -1, + 241253317, + 38405462, + 978546154, + 239955290, + 715012471, + 221707256, + 194966100, + 536943863, + 44587130, + 19010425, + -1, + -1, + 850677823, + 147434376, + 183997756, + 376130634, + 739658274, + 216701088, + -1, + 222277836, + 556243372, + 171607751, + -1, + -1, + 924000109, + -1, + 817695987, + 105202155, + -1, + -1, + 775247701, + 379911914, + 872227122, + 423774907, + -1, + -1, + -1, + -1, + -1, + 979832286, + 885183960, + -1, + 26477087, + -1, + 967071226, + -1, + 269897817, + 773401545, + 310130739, + 361807190, + -1, + -1, + -1, + 934755150, + 326446190, + 809502337, + -1, + -1, + 69175656, + 220335930, + 912471252, + -1, + 438298636, + -1, + 364838584, + -1, + -1, + 322638966, + 774955309, + -1, + 732379473, + 471243633, + -1, + 127342644, + 952857510, + 375130081, + -1, + 330784123, + 499734017, + 956127727, + -1, + 368327985, + 780212521, + -1, + -1, + 424830833, + -1, + 235057601, + 594231767, + 730103085, + -1, + 977142678, + 576819458, + 176298060, + 761296651, + 989473264, + -1, + 727621233, + 802611410, + -1, + -1, + 512035777, + 625840203, + -1, + 116667670, + 852977216, + 635457799, + 845569889, + 494457586, + 479917079, + -1, + 570050375, + 451318712, + 367015124, + 30383691, + 507913199, + 537750691, + 99706670, + 208370702, + 640930636, + 999203570, + 82451251, + 736328861, + 164910448, + 745264030, + 616915434, + 903718902, + -1, + 453646696, + 920884993, + 260887024, + 638796270, + 841901657, + -1, + 370640963, + -1, + -1, + -1, + -1, + 953452640, + 746083024, + 2140635, + 153707530, + -1, + -1, + -1, + 741973612, + 962846528, + 642472108, + 198473235, + -1, + 642971955, + 488064829, + 112777660, + 927682416, + 976040351, + 506126085, + 230745956, + -1, + 309908354, + -1, + 854211421, + 454660962, + -1, + 665019143, + 918057830, + 282665824, + 915473307, + 559223081, + 428171227, + 812642739, + 156224907, + 347737150, + 412681794, + 242961935, + 316003194, + -1, + -1, + -1, + 617964883, + 984530913, + 921137843, + 222725325, + 817518357, + -1, + 993245612, + -1, + 519702740, + 910643741, + 134971557, + 74357929, + 6610081, + -1, + 198382265, + -1, + -1, + -1, + 634581093, + 280359788, + -1, + 906320785, + 95844968, + -1, + -1, + -1, + 128173250, + 179313635, + 527375402, + 517991642, + 637872271, + 274538834, + -1, + 242839729, + 42075392, + -1, + 823927261, + 99846310, + -1, + 804764723, + 223860871, + -1, + 797472712, + 588391915, + 615820276, + 798569767, + 18780438, + 999076436, + 272641248, + -1, + -1, + 772358997, + -1, + 548056948, + 497827380, + 211420529, + 772104871, + 529394130, + 563097119, + 339822308, + 282928034, + 670858436, + 115151039, + 541401230, + 814953090, + 685081386, + 220766019, + 112583281, + 554541354, + 735231643, + 443930298, + 442692434, + 737606393, + 982261348, + -1, + -1, + 77880083, + 160165715, + 914045762, + -1, + 843413478, + 556087189, + 860044489, + 506482845, + 319083546, + 757481933, + 229439998, + 590209050, + 535703858, + 7185257, + 415240423, + 466779151, + 421063887, + 540916381, + 910517854, + 745696909, + 8736521, + 476094737, + 276107095, + 106750842, + 357621799, + -1, + 129036324, + 955146955, + 990808015, + 653585912, + -1, + 571684513, + 649659907, + 658927166, + -1, + 338636704, + 748365641, + -1, + -1, + 30239734, + -1, + 910877782, + -1, + -1, + -1, + -1, + -1, + 842587963, + 451339400, + 385659715, + 559248187, + 156177415, + 407328343, + -1, + 299398843, + 352669868, + 763852355, + 377309149, + 889850387, + 122847681, + 907846223, + 986042112, + -1, + 651355665, + 900639044, + 590939935, + 537281668, + -1, + 505410128, + -1, + 700686967, + 594941032, + 429483007, + 73221849, + 57104714, + 526151128, + 885326896, + -1, + -1, + 161609386, + -1, + 255521560, + 949160270, + 980709738, + 18186654, + -1, + -1, + 347880196, + -1, + 901220294, + 702019045, + -1, + 633447851, + 674597948, + -1, + -1, + 353157974, + -1, + 187832215, + 617148138, + 318501090, + 658961422, + 131726514, + 490665802, + -1, + 290975750, + 413277679, + 427464180, + 660170478, + -1, + 802745420, + -1, + 232991921, + 438409680, + -1, + 881815528, + -1, + 588767317, + 252961103, + 277975670, + -1, + -1, + -1, + 596394692, + 578784481, + -1, + -1, + 991103755, + 472562111, + 776536752, + 71867614, + -1, + 222935424, + 407781090, + 319283622, + 942404898, + 82517568, + -1, + 919472324, + 364948511, + 284795021, + 90386368, + 888376686, + 967780291, + -1, + 399080246, + 135157926, + 790962489, + 772426826, + -1, + -1, + -1, + 30409278, + -1, + -1, + 744506683, + 273571312, + 505924621, + -1, + 313464447, + 861111556, + 208782942, + 906121833, + 50703329, + -1, + -1, + 234131319, + -1, + 675803104, + -1, + -1, + -1, + 719537998, + 227926454, + 354379067, + 532212135, + -1, + 879549152, + 559016551, + 931800170, + -1, + -1, + 383562786, + 843719969, + 496491187, + 599812439, + 267850923, + 895730970, + 774310926, + 837648648, + 751028510, + -1, + 891540003, + 796422216, + 688460949, + 99185054, + 95962646, + -1, + 605830323, + 403155954, + -1, + -1, + 585637343, + 944574026, + 569798676, + -1, + 760330897, + -1, + 905551903, + 315363587, + 931496798, + 562918505, + -1, + -1, + 621799043, + 699058437, + 785264006, + -1, + 315744808, + 159722191, + 221726928, + 347998149, + 348365446, + -1, + -1, + -1, + 827844481, + 556845703, + -1, + -1, + 345437872, + 28003616, + -1, + 613994427, + -1, + 982885499, + 807208087, + 56012312, + -1, + 246905232, + 857123688, + 175697861, + 887749093, + 310848219, + 149168813, + 341068701, + 24433939, + 464638845, + -1, + -1, + 390070745, + 623521498, + -1, + -1, + 519148733, + 844198159, + -1, + 114137685, + -1, + 423722064, + -1, + 294608671, + 797478752, + 596159488, + 77746265, + -1, + 545239665, + 365040456, + 210723131, + -1, + -1, + -1, + 913481295, + 703748017, + 193369290, + -1, + 693670579, + -1, + 393770313, + -1, + 637623644, + 852919703, + -1, + 720735202, + -1, + 929728406, + 128003335, + -1, + 186608926, + 589005814, + -1, + 555977711, + -1, + -1, + -1, + 843164362, + 85666889, + 443089906, + -1, + 92367179, + 34664650, + 948354359, + 485575898, + 615894390, + 543816217, + -1, + 321032554, + -1, + 281734466, + 866042279, + -1, + 686323472, + -1, + 952967566, + -1, + 942925041, + -1, + 82564470, + -1, + 979128941, + -1, + 789665248, + 943939477, + 330724000, + -1, + -1, + 276477545, + -1, + 262261167, + 166338618, + -1, + 416707378, + 916713454, + 58109803, + 628499117, + 514506758, + 507125486, + 47420673, + 241383826, + 486325588, + -1, + 186781571, + 91103673, + -1, + 198855370, + -1, + 437574592, + 929136482, + -1, + -1, + 435345708, + 713074702, + 152741965, + 674940915, + 969932146, + -1, + 24777574, + 592695927, + -1, + -1, + -1, + 193356503, + -1, + 197117926, + -1, + 259327978, + -1, + -1, + 817322876, + 643929492, + 624213777, + 374000874, + 771166910, + 223691357, + -1, + 719157914, + 542416018, + 379364157, + 44556988, + 322792189, + 724000860, + 400187660, + 7545136, + 957635935, + 71836984, + 452999652, + -1, + 452504941, + 922959756, + 451471441, + -1, + 618487744, + 463187419, + 63109094, + 301033724, + -1, + 802179197, + 776416254, + -1, + 287704373, + 514985981, + 767306436, + 64243974, + 533498830, + 4545849, + -1, + 225814264, + 22964258, + 800980369, + 696084715, + 331861401, + 858554905, + -1, + -1, + -1, + 96774222, + 34176436, + -1, + -1, + 570095863, + 196932620, + 158622637, + -1, + -1, + 417494016, + -1, + 856266561, + 605262973, + 641205208, + -1, + 194618055, + 18507986, + -1, + 428045856, + -1, + 239436327, + 534548295, + 447995137, + 502252952, + 276640662, + 271462362, + 794811984, + 657460800, + 350740538, + 693527745, + -1, + 967807479, + -1, + 794837127, + 120240161, + 432184907, + 624894925, + 954157957, + -1, + -1, + 331429221, + -1, + 597897212, + 844130357, + 982071035, + -1, + 511316995, + 939664566, + 739427674, + 503317939, + 387902653, + -1, + -1, + -1, + 65320246, + 439253606, + 411251808, + -1, + 364491547, + 936364746, + 501499914, + 382510386, + 733397803, + 541347406, + 558942940, + 919471069, + 525480591, + -1, + -1, + 90589509, + 847332368, + -1, + 118346744, + 699453541, + -1, + 808542581, + -1, + 23196776, + -1, + -1, + 749796329, + 306509906, + 997791880, + 952223505, + 408835065, + 182100357, + -1, + 174116455, + 96171770, + 203715024, + 227332350, + 845788985, + 867072616, + -1, + 768798397, + -1, + 48400460, + 264901629, + 115195441, + -1, + -1, + 242835433, + -1, + 795745305, + 927307795, + 895580840, + 105492377, + 477144754, + 945564785, + 366362665, + 302128431, + -1, + 487212159, + -1, + -1, + -1, + 455883941, + 844939767, + 519201710, + 320810524, + -1, + 21907696, + 707499699, + 950653665, + 255477563, + 586272443, + -1, + 674301953, + 930740570, + -1, + 821963696, + 850940675, + 339864088, + 528526562, + 951968056, + 943184718, + -1, + -1, + -1, + 14841652, + -1, + -1, + -1, + 498342036, + 724925389, + 329853653, + -1, + -1, + 305662426, + 183842887, + -1, + 436348305, + 247546602, + 322314766, + 332539890, + 178592396, + 72847623, + 461589282, + -1, + 274973900, + -1, + 943059521, + 571849390, + 381707414, + -1, + 653820356, + -1, + -1, + -1, + 54408191, + 568491531, + 644863259, + 231819239, + 236427958, + -1, + 742724493, + 558330453, + 725689583, + -1, + 829196649, + 277656836, + -1, + 172574741, + 500614282, + -1, + 261845800, + 73513093, + -1, + 870487078, + -1, + -1, + 918286664, + 137557623, + -1, + 918761905, + 257748609, + 440490728, + -1, + 557982842, + -1, + 758302865, + -1, + 344296214, + 211847757, + 989656712, + 572746865, + -1, + 740368875, + 149806209, + 498768224, + -1, + 266553784, + 28554407, + 532830684, + 958139149, + 60248454, + 362426909, + 509389248, + 233718975, + -1, + -1, + 615038318, + 449572676, + 308491322, + -1, + 896520506, + 165826229, + 685964231, + 468502849, + -1, + 436054587, + 288711566, + -1, + 881965290, + 334351639, + -1, + 103904413, + 445661055, + 236214514, + 659993260, + -1, + 164873310, + 183074043, + -1, + 902404258, + 22371287, + -1, + 595610980, + 52348324, + 14095254, + 346476596, + 137719365, + 584821124, + 882971568, + -1, + 581367714, + 676151003, + 580263761, + -1, + -1, + 235208345, + 455055971, + 520441235, + 169923782, + -1, + -1, + 140323049, + -1, + -1, + -1, + 762010331, + 503367094, + 729834265, + 204769117, + -1, + 917244729, + 794890179, + 105976981, + 321406498, + 676709308, + -1, + 937703770, + 75319267, + -1, + 16659913, + 682243874, + 123591909, + 899154376, + 841978218, + -1, + -1, + 875489482, + 294598352, + 634068089, + -1, + -1, + -1, + 199670193, + 34770214, + 120460523, + -1, + 214955665, + 562499553, + 741807970, + 173636350, + -1, + 55237024, + 703874545, + -1, + -1, + 46852638, + 80756980, + 91528856, + 419536358, + 913549964, + 928406534, + 877384686, + 61825041, + -1, + -1, + -1, + 580210844, + 62831905, + 375201520, + -1, + 990935078, + 483481021, + 26147798, + -1, + 980514563, + 660298951, + -1, + 924378738, + 140539516, + 81113233, + -1, + 545457709, + 108569078, + 22028110, + -1, + 233975451, + 38006949, + 613371235, + 58798833, + 98654372, + 935300811, + -1, + 55945409, + 78373282, + -1, + 850585726, + 907324776, + 137813999, + -1, + 656459945, + 595157584, + -1, + 819108170, + -1, + 542415816, + 433110931, + 47034696, + 105705998, + 643419959, + 993236270, + 485222917, + 135836763, + 540240720, + 492266006, + 827607440, + 634067802, + -1, + 776861775, + 496920966, + 293499528, + 563234454, + -1, + -1, + 300254662, + -1, + 829791792, + 215689583, + 128728367, + -1, + -1, + 996621154, + 588637854, + -1, + -1, + 77374675, + 621714180, + 896789512, + 433517526, + 274433834, + 510858049, + 842162462, + 503485764, + 634925763, + 967949456, + 684283995, + 781010770, + -1, + 951214809, + 199278181, + 17446460, + 48157959, + 305296647, + 667316236, + -1, + -1, + 563490628, + -1, + 32273607, + -1, + 292882243, + 108297569, + -1, + 32585460, + -1, + 2080989, + 14885713, + -1, + 312260914, + 791724342, + 268241006, + 717293229, + 714648760, + -1, + 539035927, + 916981767, + 370600266, + 997239166, + 289712261, + -1, + -1, + 676986260, + 746217256, + -1, + -1, + 483988726, + -1, + -1, + 585089695, + 700129658, + -1, + 244853017, + -1, + 404076260, + 595299731, + 534790521, + 75373834, + 195692392, + 583830363, + -1, + 310469169, + 973263840, + 938083715, + -1, + 182655356, + -1, + -1, + -1, + 341139602, + 741821745, + -1, + 836395263, + -1, + 491390180, + 443586501, + 298632064, + 272397052, + 528990095, + 273779615, + 942722287, + 340517583, + 174453747, + -1, + 530874817, + 401966263, + 324916122, + 132303301, + 484189459, + 882130867, + -1, + -1, + -1, + 613680977, + 919315698, + 765885418, + 590939017, + -1, + 278278380, + 346883999, + 456871128, + 60739051, + 565501462, + 593807266, + 897759405, + 803114631, + 308984555, + 647621140, + -1, + -1, + 691325414, + 512199943, + 829087606, + 194048162, + -1, + 124591550, + 640615051, + -1, + 465654775, + -1, + -1, + 330668948, + 238842579, + 982923829, + 566489924, + 253316689, + 935722798, + 463108245, + 474249896, + 988787250, + 71024315, + 536861797, + 403701144, + 9086635, + -1, + 813964015, + -1, + -1, + 405274408, + 71805351, + -1, + -1, + -1, + 661602707, + 393831646, + -1, + 696211671, + 833303850, + -1, + -1, + 110877875, + 42480834, + -1, + 596924426, + -1, + 345623218, + -1, + 622619926, + 396664861, + 830611533, + 6398155, + 447941322, + -1, + -1, + 943856787, + -1, + 501723678, + 913341122, + 404526762, + -1, + 425240605, + 357599592, + -1, + 503202438, + 282865950, + 905434714, + 954865423, + -1, + -1, + 585884497, + 572783195, + 727734831, + 158551983, + 523310296, + 185002636, + 804463186, + 419823529, + 497570089, + 906826636, + 298261693, + 271882453, + 429404699, + -1, + -1, + -1, + 435454326, + 427002412, + -1, + 950972907, + 550569987, + -1, + 881341846, + -1, + 24369315, + -1, + -1, + 976039423, + 399431310, + 364236052, + -1, + 959600787, + 649990118, + 837727874, + 343309914, + 66569630, + 670996330, + -1, + 587620750, + 150411013, + -1, + 637179281, + 853621935, + 479162953, + 849303241, + 23403193, + 107306485, + 538300415, + 749563080, + 486881938, + -1, + 148738498, + 260019491, + -1, + 28849086, + 627113918, + 651803906, + -1, + 538329280, + 724196188, + 509191865, + -1, + 520916947, + 571222418, + 377075930, + 706734040, + 904943961, + 986314697, + 735020963, + 293759642, + 382442665, + 909115763, + 670382283, + -1, + 196822418, + 312603406, + -1, + 741356382, + 197928057, + 558242228, + -1, + 833942455, + 60478597, + -1, + -1, + -1, + 238719451, + 21585828, + -1, + 420293002, + 96719084, + -1, + 152261167, + -1, + 934601068, + -1, + 516128018, + -1, + -1, + 231624333, + -1, + 281288655, + 979433378, + 541490568, + 436844139, + -1, + 684163283, + 2078314, + 692513417, + 712128486, + 228042722, + 39026348, + -1, + 905375958, + 245829884, + 830432119, + 417429281, + 592435782, + 37603521, + 868849283, + -1, + 864329550, + 934706043, + 486464406, + 921113331, + 910467435, + -1, + -1, + 269173298, + 967426297, + -1, + 271875123, + 470012912, + 881548754, + 638797590, + 567519179, + 866044934, + 946197879, + 816335102, + 707284392, + 952088586, + 830405068, + 313949873, + -1, + 378567010, + 790006418, + 243598362, + -1, + 108166233, + -1, + 102855382, + 263934005, + 492992849, + 992955939, + 389607530, + -1, + 153762108, + 595400725, + 172972800, + -1, + 248005080, + 250272179, + 694883647, + 932967481, + 132012882, + 257256437, + 283717046, + 864791693, + 14913856, + 929080508, + -1, + -1, + 970650934, + 634274833, + 362581701, + 430929661, + 443759967, + -1, + 39959600, + -1, + 716839699, + 842778372, + 851220922, + 136200582, + -1, + 570962173, + 38325513, + -1, + 221156852, + -1, + 143519245, + -1, + 694220111, + 534192054, + 302984276, + -1, + 216587549, + 296982987, + 894541799, + 144750422, + 395852096, + -1, + 119928920, + 231819916, + -1, + 555859982, + 816387304, + -1, + -1, + 318196913, + 853140125, + 19517643, + 236233173, + -1, + 102732914, + 971764453, + -1, + -1, + 271054105, + 958326420, + 539408411, + 268753839, + -1, + -1, + 195156494, + 175028921, + -1, + 621186453, + 120998562, + 979583277, + -1, + 292690127, + 686091664, + -1, + 910850155, + 242255775, + 362330019, + -1, + 469386462, + 933445588, + 207613449, + -1, + 232632679, + 922713117, + -1, + 360286866, + 198568763, + 301212678, + 393749293, + -1, + 802913992, + -1, + -1, + -1, + 686440296, + 394726137, + -1, + 73065616, + 113093239, + -1, + -1, + 338565968, + 814188767, + 519184534, + -1, + 404473140, + 267664316, + 232741312, + -1, + 804925295, + 260933432, + 1913090, + -1, + 980340414, + 40361345, + 405275023, + 462069464, + 930774147, + 258538947, + 483844792, + 664698630, + -1, + -1, + 545373389, + -1, + 740718941, + -1, + -1, + 489431835, + -1, + 65452344, + -1, + 64363985, + 585316641, + 355220728, + 249861640, + -1, + 351725930, + 644615511, + 628418648, + -1, + -1, + -1, + 320942898, + 85449676, + 687968444, + 328567150, + -1, + 964180271, + -1, + 398110271, + 720780917, + 457502353, + 579901541, + -1, + 742068599, + -1, + 425610452, + -1, + 553755597, + 865322792, + 551552724, + -1, + -1, + 938709325, + 231162084, + -1, + 634961788, + -1, + -1, + -1, + -1, + -1, + 989880374, + 639597446, + -1, + -1, + 630281867, + 536240160, + -1, + 949386623, + -1, + 834953583, + -1, + 470497247, + 984723548, + 972779698, + 423581862, + 679830250, + 748845724, + 538713445, + 150901472, + -1, + 333886292, + 28342426, + 812595143, + 908338994, + 388516659, + -1, + 694406508, + 835641596, + -1, + 706423625, + 45860826, + 657339459, + 911734236, + 930755109, + 460857215, + 478940183, + -1, + 100260929, + -1, + 865806988, + 763074149, + 265866480, + -1, + 179047059, + 404538442, + 483272551, + 989309263, + -1, + 955802200, + 76305074, + -1, + 739452784, + 702610943, + 3637536, + 153475975, + 772628668, + 38767977, + -1, + 155406903, + 368355552, + 778145869, + 346757657, + 673944533, + 653806784, + -1, + 286019144, + -1, + 145910623, + 986666075, + 583656891, + 204864506, + -1, + 103601511, + 545464150, + 523921857, + 229540547, + 829189728, + 248622435, + -1, + -1, + 631194906, + 997940452, + -1, + 354961308, + -1, + -1, + 316983764, + -1, + 846869030, + 766758946, + 492106625, + 41984981, + 865036940, + -1, + -1, + 44093559, + 469193392, + -1, + 526286928, + 450262218, + 256795452, + 733941465, + 977498161, + 928142260, + 328513018, + -1, + 408447020, + -1, + 782491313, + 57660611, + 833805208, + -1, + 509991757, + -1, + 846214392, + 468556546, + 342211257, + -1, + -1, + 919200023, + 473949949, + -1, + -1, + 626623303, + 915043358, + 369282286, + -1, + -1, + -1, + -1, + 622140715, + 214280187, + 156391382, + -1, + 278192098, + 282373262, + 635497854, + 423285615, + -1, + -1, + 501730970, + -1, + 780507803, + 11245113, + 80903024, + 375783697, + -1, + 736352779, + 577148919, + 101671501, + 61549536, + 174480575, + -1, + -1, + 754069731, + -1, + -1, + 120834369, + 608667767, + -1, + 454037541, + 904727456, + 436655253, + -1, + -1, + 10220836, + 709198746, + -1, + -1, + 819709933, + 826357336, + 962961350, + 383773559, + 695107756, + 606177847, + -1, + 542005852, + 365254383, + -1, + 285479074, + 539677211, + 422772514, + 40190171, + 269212620, + -1, + 485402992, + 895367571, + -1, + 216973858, + 642878715, + -1, + 597407225, + 992768095, + 180678553, + -1, + 173313796, + 676367105, + 246208729, + -1, + 366777769, + 971884598, + 225216845, + -1, + 414353452, + 523748678, + 787733748, + -1, + -1, + -1, + 303510036, + -1, + 783569234, + 74958648, + 907802560, + 663066574, + 946538584, + 950031670, + 146122030, + 214398788, + -1, + 338896423, + 818964469, + 459783821, + 530834149, + -1, + 282468483, + 8125481, + -1, + 529204910, + 523813105, + 776080419, + 765306548, + 840936082, + -1, + -1, + 834492041, + 542056232, + -1, + 103664469, + 839226173, + -1, + 105359024, + 340257289, + 343110563, + -1, + 690455916, + -1, + -1, + -1, + 519589088, + 811837973, + 836158083, + -1, + 389889727, + -1, + 746832595, + 91336040, + 955137042, + 954693688, + 471324880, + 899051578, + 211264002, + -1, + 25950855, + 878413995, + -1, + 642660326, + -1, + 847323089, + 927725963, + -1, + 306144925, + -1, + 259269727, + 101108465, + 741831218, + 965220699, + 725455180, + -1, + 891510531, + -1, + -1, + 409959612, + -1, + 790877895, + 634195420, + 380299084, + 704245377, + -1, + 792542427, + 471861079, + 644086729, + 369132075, + -1, + 808678352, + -1, + 719932745, + 854201241, + 888009006, + -1, + 150997366, + 243262672, + -1, + 66916149, + 814502463, + -1, + 804103164, + 356671377, + -1, + 20732694, + 500983036, + -1, + 639955243, + 128025095, + -1, + 212718697, + 663700415, + 172188, + 760153474, + 821824762, + -1, + -1, + 155599242, + -1, + 911877372, + 692907498, + 178254292, + 878155434, + 456456832, + 901832995, + 659349579, + 967242323, + -1, + 641733809, + 329068269, + 78687375, + -1, + 540981254, + 486166871, + -1, + 780764166, + 717471384, + 867918901, + 872533552, + 993510851, + 167305884, + 159029579, + 748719718, + 6579240, + 499015745, + 709337253, + 30782726, + 471446233, + 153397983, + 762385485, + 241753886, + 887378553, + 893158058, + 764652411, + -1, + -1, + -1, + -1, + 118763095, + 118978838, + 265816127, + 267281813, + 678498331, + 123538421, + -1, + 573209112, + 514013482, + 760104448, + 127956632, + -1, + -1, + 590063378, + 62852233, + -1, + 440590412, + 830810780, + 398378909, + 395323411, + -1, + -1, + -1, + 329157854, + 973380148, + -1, + 51854831, + 575157111, + 896703807, + 619940920, + 704793217, + 34624632, + -1, + -1, + 975683712, + 772631252, + 116793683, + -1, + -1, + 63622679, + 205291346, + 821231152, + 704950232, + 633910385, + 867886433, + 291259544, + 938308880, + 320021762, + -1, + 747971503, + -1, + -1, + -1, + 469705802, + 51230556, + 540016001, + 435373133, + 822842253, + 805053624, + 937537945, + 585462976, + 779274240, + 77373539, + 196852788, + 821890306, + 545461582, + 835736404, + 706373803, + -1, + -1, + 400115697, + 69266419, + -1, + 457270802, + 269137808, + 79962976, + 663370424, + 135400731, + 726600079, + -1, + 480270497, + 247155298, + 912432074, + 796358139, + 39643240, + -1, + -1, + -1, + 204640987, + 310460296, + -1, + 137377062, + 680650347, + 770527850, + 851679500, + 699565551, + -1, + 496530600, + 145631248, + -1, + 771502074, + 557134763, + 901858633, + -1, + 977816558, + 706926546, + -1, + 998755297, + 833147581, + -1, + 570148662, + -1, + -1, + 659845902, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 538592926, + 509453962, + 600872983, + 698054143, + 638959993, + 41950618, + 768665180, + 929980200, + 117509814, + 222649359, + 351818783, + 387903403, + -1, + 929567911, + 866200752, + 440164707, + 561101134, + 361367951, + 780603892, + 375823186, + -1, + -1, + 549306039, + -1, + -1, + 388612193, + 412796567, + 430316656, + -1, + -1, + -1, + -1, + 797232808, + 41947292, + 869047597, + 334646516, + 754854482, + -1, + 248947972, + 792217488, + 402130590, + 843205493, + 300396535, + -1, + -1, + -1, + 359612410, + 860541539, + 215990495, + 616246998, + 107731030, + 7374843, + 987257202, + -1, + 635952847, + -1, + 903261801, + -1, + 629345314, + 64370493, + 399357821, + 760240667, + 644984459, + -1, + 299719000, + -1, + 681017414, + -1, + 203444431, + 139806000, + 431859099, + 757378528, + 403564509, + 789678443, + 905335019, + 629146738, + 862134451, + -1, + 933772722, + 195184756, + 293839582, + 461615643, + 893488469, + 263826077, + 574731492, + 806133863, + 745136384, + -1, + -1, + 719194626, + 505301805, + 722607547, + 734129665, + 591209731, + 107718253, + 252223749, + 568245471, + 778996369, + 87101463, + 48984248, + 762976538, + 357471943, + 31874100, + 368271807, + -1, + 468661936, + 538038497, + -1, + 232184542, + -1, + 756807537, + 480647925, + 121292555, + -1, + 2557495, + 253037336, + -1, + 927626344, + 140449023, + 118889980, + 266334380, + 322303553, + 602077306, + 332849459, + 358940450, + 413880633, + -1, + 721771227, + -1, + 310767056, + 770571670, + 683981113, + 843507453, + 595525836, + -1, + 585492584, + 192875470, + 640865483, + 183473462, + 258146021, + 953626310, + 448755180, + -1, + 223306295, + 944871109, + 931285131, + 926653211, + 996466826, + 225143102, + 792598699, + 770011243, + 684263012, + -1, + 188749911, + 858527184, + 633734199, + -1, + 389366965, + -1, + 136651057, + 891587314, + 765315363, + -1, + -1, + -1, + 216966993, + 163158871, + 170183894, + 584117747, + -1, + 831873864, + 465409620, + -1, + -1, + 952049121, + 379857485, + 79623305, + 451700355, + -1, + -1, + 641777183, + 30532010, + 194398162, + 151876291, + -1, + 938402560, + -1, + 824021078, + 844411540, + 916017298, + -1, + 579792645, + 851306956, + 341339498, + 399710231, + 465962988, + 130669143, + 448468185, + 641657398, + -1, + 563543548, + 768566334, + 515814129, + 394146756, + -1, + 526676051, + -1, + 269587313, + 59311167, + 934053453, + 640105149, + 302505412, + -1, + -1, + 118789538, + 397958101, + -1, + 959813364, + -1, + 946928922, + 156032523, + 89972741, + 567736091, + 965529653, + 964290124, + 917927677, + 847714342, + -1, + -1, + 97322451, + 661099788, + -1, + 749463038, + -1, + 715430179, + 765622925, + 247666945, + -1, + 836765983, + 343631921, + 876726901, + 627912023, + 423195419, + 441839707, + -1, + -1, + -1, + 517732701, + 59216600, + 709787537, + -1, + 570303107, + 631887364, + 349783969, + 248345684, + -1, + 72311200, + -1, + 44363244, + 151830719, + 978548705, + -1, + 828444303, + 153272951, + 134131088, + 495044783, + 460437994, + 217728312, + -1, + 735109218, + -1, + 456828452, + 490308562, + -1, + -1, + 367792776, + 400441743, + 742802111, + 404821686, + -1, + -1, + 598438538, + -1, + 785660916, + 871343678, + 731140041, + 680413931, + 181011728, + -1, + -1, + 849249802, + 722740693, + 371346594, + 130912032, + 145471387, + 866491835, + 727440673, + 721664255, + -1, + -1, + 78652250, + -1, + -1, + 996658126, + -1, + -1, + 647053885, + 112167456, + -1, + 677274927, + 198803196, + 613510682, + 752162769, + -1, + 607205745, + 151761610, + 235298486, + -1, + -1, + -1, + 641899599, + -1, + 868772670, + 687918144, + 285552576, + 628656608, + 542610654, + 312819609, + -1, + 159569323, + 426990396, + -1, + 771771693, + 101953439, + 761475037, + 116229981, + -1, + -1, + -1, + -1, + 829426124, + 408893455, + 176437233, + -1, + -1, + -1, + 283217497, + 134978665, + -1, + 15694476, + 844968396, + 803155535, + 193961672, + 259436064, + -1, + 892658261, + -1, + 30102005, + 227792906, + 36354305, + 603656175, + 924643119, + 693977066, + -1, + 263096650, + 534787382, + 902655839, + 805754670, + -1, + 827111525, + -1, + 781245506, + 614186581, + 733682053, + -1, + -1, + 699501410, + 214014698, + -1, + 227030986, + 400392041, + 354549243, + 805535155, + -1, + 341041089, + 473923278, + 426638644, + 759002993, + -1, + 854997791, + 371151096, + -1, + 873147865, + 394933391, + 655985709, + 861237709, + 510134117, + -1, + 908591624, + 914523016, + -1, + 470052340, + -1, + 636211851, + 222506896, + -1, + 392834497, + 682857569, + 574653858, + 23751155, + 629503155, + 111629534, + -1, + 204638263, + 730092819, + -1, + 446663267, + 142911631, + 722554606, + -1, + -1, + 457655908, + 860541446, + -1, + 943632750, + -1, + 31074627, + 45340610, + 606539452, + 864840213, + -1, + 442581147, + 686278385, + -1, + 820893589, + 83920288, + 752259077, + 623993068, + -1, + -1, + -1, + 948436000, + 991689570, + 123352244, + 751246, + 501377887, + -1, + 109327969, + 626706174, + 873638860, + 133516308, + -1, + 113176961, + 174143229, + 246853175, + 426824997, + -1, + -1, + 370271084, + 457839301, + 725963629, + 936877565, + 644975544, + 941055199, + 233489440, + 460912011, + -1, + 69135408, + -1, + 700501389, + 580010456, + 559375876, + -1, + 544544610, + 212130738, + 420182644, + 996528415, + -1, + 820377075, + -1, + 801726691, + 546164258, + 730008209, + -1, + 213819144, + 919187469, + 774416624, + -1, + -1, + 240382376, + 712881096, + 572157110, + -1, + 147871758, + 833824005, + 791455083, + 453150145, + -1, + 728384370, + 961332137, + -1, + 549773848, + 806398906, + 189148478, + 226755302, + 761275355, + 71360361, + 892806150, + 466569911, + 761037313, + 346963298, + 60756282, + 439968429, + 476276987, + 542163207, + -1, + 966491928, + 318202689, + 443020855, + 765325636, + 869017807, + 653149447, + 243541515, + -1, + -1, + 634732966, + -1, + 432598837, + -1, + 831120568, + 416148614, + 309083614, + -1, + 414828123, + -1, + 309851437, + -1, + 369532899, + 69571663, + -1, + -1, + -1, + 803206622, + 373700182, + -1, + 384144889, + -1, + -1, + 504354202, + -1, + 772527734, + -1, + 345297707, + -1, + 66374419, + 794767757, + -1, + 819641980, + 657569409, + 651434304, + -1, + -1, + -1, + 355535298, + 627186320, + 926355007, + 701307965, + 509999582, + -1, + -1, + -1, + -1, + 525176911, + 741601093, + 861323410, + 239527419, + 333989410, + 558722180, + 304272367, + 160849477, + -1, + 596178356, + 56976679, + 493207495, + -1, + -1, + -1, + 319740403, + 490640710, + 2060652, + 221894802, + 336282395, + 69715571, + 220731731, + -1, + 279668510, + -1, + 432905702, + 979860746, + 338759690, + 846928742, + 126191044, + 824571691, + 763451432, + 364696488, + 297271127, + 34485420, + 411856589, + 568525060, + 263228072, + -1, + 310131685, + 300739741, + 973555565, + 517793399, + 6822271, + 55734265, + -1, + 128859923, + 737633883, + -1, + -1, + 630091959, + 422745420, + 190847362, + 485775945, + -1, + -1, + 622218943, + 688880226, + 534347941, + -1, + 368623385, + -1, + -1, + 375770821, + 385282427, + -1, + 988880860, + 917305207, + -1, + 892277531, + 705506445, + -1, + 569242840, + -1, + 993243635, + 442044895, + 613320698, + -1, + 492649612, + -1, + 358370564, + 454732251, + -1, + 198253301, + 878627434, + -1, + 871778839, + -1, + -1, + -1, + 25265662, + 684225773, + 207539096, + 623347756, + 350131751, + 510018125, + 565348528, + 988067366, + 905120688, + 820809214, + -1, + 713264905, + 177315129, + 900295192, + -1, + -1, + -1, + -1, + 980119397, + 419841710, + -1, + -1, + -1, + 818108556, + 921616639, + -1, + -1, + 199215784, + 256946487, + -1, + 287240303, + 795333370, + 277255593, + 385433088, + 632474281, + 655604318, + 311930058, + 27552909, + 787971104, + 481956988, + 953513714, + 872080165, + 335398258, + 970199274, + 925032247, + 489463319, + 670941347, + 395441444, + 771397376, + 645644147, + 670830208, + -1, + 953715997, + 633753731, + 649635022, + -1, + 900752781, + 312876089, + 321076032, + -1, + -1, + -1, + 638421914, + 171433875, + -1, + 289290712, + -1, + -1, + 408806579, + -1, + 536682331, + -1, + 740562301, + 443789366, + 113330771, + 64362500, + 24791197, + 450475077, + 838539954, + 60294258, + -1, + 215578886, + -1, + 190154499, + 215708609, + -1, + -1, + 550067785, + 596296402, + 647128064, + 615812878, + 635811010, + 394125781, + 902801908, + 813813709, + 201619827, + -1, + -1, + 37511399, + 949089459, + -1, + 998829302, + 767049382, + 829170690, + -1, + 56638849, + -1, + 236458265, + 119897813, + 501537190, + 193534347, + -1, + -1, + 948516343, + -1, + -1, + -1, + -1, + -1, + -1, + 777464894, + 64914946, + 185895358, + -1, + 983976542, + 150966858, + 924620682, + -1, + -1, + 949331031, + -1, + 733698205, + -1, + 483673295, + -1, + 133388282, + 328432152, + 389281152, + 4568714, + 502987570, + 281587628, + -1, + 735824041, + 5209571, + 932543344, + -1, + 762572726, + 55486739, + -1, + 374859171, + 25944839, + -1, + 419176317, + -1, + -1, + 975557402, + 615281533, + 111621049, + 881652364, + 569297452, + 176476985, + -1, + -1, + -1, + 941065803, + 938729536, + -1, + 959237609, + 45998945, + -1, + 314938469, + -1, + 188019444, + 425677499, + -1, + 179412883, + 403593759, + 69371194, + 701107387, + 879854302, + -1, + -1, + -1, + -1, + 658493647, + 874386699, + 337283321, + 238541188, + 18736501, + 260926114, + -1, + 314551013, + 399364117, + 289881127, + -1, + 810833976, + 437982122, + 610802021, + -1, + -1, + 495200189, + 683911231, + 940456804, + 843013035, + 434725685, + -1, + 696342049, + -1, + 801279523, + 621768268, + 190661746, + -1, + 184503999, + -1, + 472992234, + -1, + -1, + 534109927, + 211192253, + 432728494, + 254543806, + 293806919, + 653196393, + 257877636, + 779978359, + -1, + 241465721, + 495855525, + 308429734, + 456482586, + 562063079, + 727897209, + -1, + 349951155, + -1, + 964690833, + -1, + 913395432, + 981201781, + 426193935, + 362104088, + 847270552, + -1, + -1, + -1, + 223854267, + 311872285, + 643119485, + -1, + 207115070, + 480809613, + 346067838, + 257622749, + 391036635, + 759208857, + 659366754, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 920578450, + 427604971, + 462126703, + 739973889, + 459903756, + 591083541, + 455073373, + -1, + 12159287, + 961881657, + -1, + 189147785, + 473305753, + -1, + 842443433, + -1, + 679664469, + -1, + 372367480, + -1, + -1, + 388563399, + 476185638, + -1, + 537253269, + 401097623, + 839358117, + 842448489, + 806850348, + 204836067, + -1, + 284980526, + 267107303, + -1, + 520581296, + 874566097, + 53311317, + 230475934, + 442909941, + 699096620, + 752367127, + -1, + 149738831, + -1, + 417846105, + 73304072, + 817146699, + 26764442, + 408534202, + 552533691, + -1, + 439704445, + 123292395, + -1, + 252937820, + 456525664, + 369712894, + 395953400, + 876339996, + 679621864, + -1, + 906919663, + 634042776, + 844912534, + 556481709, + -1, + -1, + -1, + 975357171, + 913983630, + -1, + -1, + 899007128, + 172002806, + 273010663, + -1, + 314432534, + -1, + 723704905, + 402596130, + 780084915, + 824912961, + 122861899, + 917982245, + -1, + 156173761, + -1, + 13147914, + -1, + -1, + 41060025, + -1, + 625331484, + 174367228, + 949521454, + 193434044, + 990514598, + -1, + -1, + 972439781, + 191759416, + 287316881, + -1, + 568006076, + 385380428, + -1, + -1, + 197025245, + 22258086, + -1, + 897812549, + 4054442, + -1, + -1, + -1, + 619010967, + 384106751, + 28188806, + 629940160, + 721018409, + 893277392, + -1, + -1, + -1, + -1, + 956524089, + 440207720, + 186618691, + 573954736, + -1, + -1, + 430651152, + 232772310, + -1, + 58307646, + 748032853, + 386955955, + 417287012, + 532218588, + 97143279, + 336566120, + 695384904, + -1, + -1, + 354959642, + 97075572, + -1, + 183929582, + -1, + 391153727, + 647389498, + -1, + -1, + -1, + 834234303, + -1, + 130602010, + 603001910, + 326125532, + 508046945, + -1, + -1, + -1, + -1, + 409014220, + 268166904, + 655768552, + 877631123, + -1, + 80648964, + -1, + 136405473, + 92164243, + 363150294, + 111426696, + 989926105, + 120534716, + 588528364, + -1, + 815421641, + -1, + 520315515, + 977269749, + 174938755, + 43591750, + -1, + -1, + 518104312, + 881040980, + 903321430, + 68054085, + 817312444, + 959943412, + 75339964, + 539553584, + -1, + -1, + 587716466, + 742854774, + -1, + 828977479, + 889114784, + 432428629, + 459171308, + -1, + 28783084, + 352226078, + 529659162, + 386768256, + -1, + 654362763, + 918096836, + 760714316, + 556560368, + 233873839, + 154600334, + -1, + -1, + 423900225, + -1, + -1, + 272750852, + 91998552, + 858080191, + 724612260, + 386964923, + 385181387, + -1, + 410806557, + 789866414, + -1, + -1, + -1, + 489202744, + -1, + -1, + -1, + 564017745, + 359304910, + 978007353, + 396968730, + -1, + 818370036, + 36976772, + 732629407, + -1, + -1, + 192240727, + 228326114, + -1, + -1, + -1, + 353334567, + -1, + -1, + 35445607, + -1, + 921979187, + 543430495, + 77383933, + 343559531, + 257289968, + 238365771, + -1, + 366651066, + 970017626, + -1, + 903517494, + 66773925, + -1, + 559864360, + 736061122, + 285706281, + 786844137, + 605035035, + 615026013, + 783081390, + -1, + 726311063, + 559881306, + -1, + 464989535, + 567092611, + 148409717, + 130568039, + 152054799, + 390148295, + 957168455, + -1, + 678223265, + 623113192, + 711626131, + 465189930, + 390324485, + 644797889, + -1, + 605009682, + 895112383, + -1, + 779051407, + 982407906, + -1, + 552422197, + 867060114, + 700939842, + 6312017, + 203396105, + 385070324, + -1, + -1, + 936068615, + 764603395, + 632576301, + -1, + 165687411, + -1, + 48432275, + 567727442, + -1, + -1, + -1, + 963496789, + -1, + 430236226, + 462020846, + 987181911, + -1, + 778503150, + 166917973, + 856469061, + 425105541, + 993416423, + 645737861, + 604617608, + 525237362, + 789624009, + 315533697, + 455400392, + 376567737, + 283104431, + -1, + 298974495, + -1, + 142349619, + -1, + 396111354, + 345494573, + 216439707, + 422603058, + 315109169, + 371090405, + 945710059, + -1, + 824267906, + 823216091, + -1, + -1, + -1, + 238365803, + 936745565, + 957181791, + 495294459, + 595012347, + 910766832, + 69277162, + -1, + 16058346, + 807525507, + 744898501, + 330767014, + -1, + 921698834, + 198705678, + 776938704, + -1, + -1, + 990643261, + -1, + -1, + -1, + -1, + 878068894, + 875972317, + 554984579, + 577019813, + 680677245, + 354803920, + 366672572, + 312760030, + 530838603, + 387891981, + 294529464, + 496193008, + 501728349, + -1, + -1, + 812914148, + 880347939, + 36558404, + 490163552, + -1, + -1, + -1, + -1, + 908113404, + 123654419, + -1, + 128236745, + 39306627, + 93936483, + 277654007, + 467775035, + 969502129, + 784964698, + 567649019, + 384879344, + -1, + -1, + 846282077, + 514424412, + 339144418, + -1, + -1, + -1, + -1, + 927403416, + 448165229, + 283624418, + 59812393, + 605505626, + 405004435, + 310719292, + 208856703, + 71043451, + 386993310, + -1, + 254187308, + 55312385, + 547735681, + -1, + -1, + 929699449, + 351048658, + -1, + 355423931, + 798394697, + -1, + 698483772, + 501586580, + -1, + 702185956, + 913994311, + 379452561, + 275369859, + 769709970, + 834645353, + 572121305, + 369876241, + 166160978, + -1, + 661079475, + 233571137, + 783780873, + -1, + -1, + 42170503, + 853646607, + -1, + -1, + -1, + -1, + 360012821, + 128864696, + -1, + -1, + -1, + 331143001, + -1, + 277055600, + 564613462, + -1, + 660710688, + 535368770, + 334853378, + 729621604, + 229891549, + 297928643, + 317674830, + 383257410, + 291887098, + -1, + -1, + 654004808, + 484805815, + 437497357, + 840051008, + 369228622, + 64203362, + 157204170, + 775422602, + 63447491, + 157505710, + -1, + 335048428, + 329238461, + 654525224, + -1, + -1, + -1, + 501716922, + 419441034, + 238519481, + 530713847, + -1, + -1, + 375643868, + 991944223, + -1, + 946131972, + 282954462, + 591318324, + 452969923, + 197669114, + 950411526, + 901899939, + -1, + -1, + -1, + 262663060, + -1, + 788390691, + 71016282, + 822207247, + 375270408, + 930416740, + 896229557, + 880256336, + -1, + 602157236, + -1, + -1, + -1, + 442752715, + 486777046, + 499208441, + 816798484, + 312615627, + 421022140, + 456492697, + -1, + 203592463, + -1, + 751573968, + 301529987, + 719967301, + -1, + 74871936, + 220630638, + -1, + 204826739, + 434117492, + 164960487, + 301093055, + 55542999, + 65731186, + 712650939, + 239702819, + 170221051, + 969456071, + 667752391, + -1, + 626254600, + 523167243, + 587446563, + 139841634, + 185449142, + -1, + -1, + 617026384, + -1, + 612734801, + 662044974, + 789727541, + 900773313, + 109977841, + 713947934, + 130396333, + 638735605, + 687905235, + 967144902, + 480511037, + 744631468, + -1, + -1, + 665034141, + 602979310, + 133657288, + -1, + -1, + -1, + -1, + -1, + 905352727, + -1, + 972177737, + -1, + -1, + 403206673, + 377366090, + 662121083, + 688138731, + 649427402, + 310411826, + 560887738, + -1, + -1, + 30813910, + -1, + 445027816, + 593408246, + -1, + 838815757, + -1, + 31892213, + 881221961, + 640751675, + 450698683, + 202357408, + 504680678, + 384504310, + 885621041, + 512468421, + 475302356, + -1, + -1, + 603450690, + -1, + -1, + -1, + -1, + -1, + 748382934, + 851144393, + 129932338, + 711171702, + 935041569, + 343362769, + -1, + 263668450, + -1, + 736502645, + -1, + 24144919, + 153784217, + 108734466, + 728631465, + 860709659, + 676173874, + 973840040, + 134593817, + 656579610, + 950571287, + 990457275, + -1, + 515624100, + 673474059, + -1, + 86270793, + 496789028, + -1, + -1, + 263043027, + 306663116, + 821432669, + 681981804, + 82561484, + 482684063, + 878045744, + 389514113, + -1, + 819390898, + -1, + -1, + 562137148, + -1, + 935806866, + 796026031, + 715978560, + 273973045, + -1, + 208338570, + 266103014, + 848750188, + 373772939, + -1, + 517607469, + 332845991, + 642920348, + 654414325, + -1, + 757582331, + -1, + -1, + 180859310, + 364009721, + 794558360, + -1, + -1, + 375194227, + 148176529, + 679031498, + 480937226, + 410098049, + 131349189, + 411942, + 327729558, + 655333079, + 339166357, + 531995982, + 779310974, + 910243920, + 609077126, + 497514941, + 635198352, + 381914273, + 100976290, + 223022334, + -1, + 246946237, + -1, + 104384336, + -1, + -1, + 958992488, + 548523983, + -1, + 851857146, + -1, + 289602552, + 294766664, + -1, + 84089453, + 863376509, + 165192285, + 133137224, + 61319302, + -1, + 660371653, + -1, + 912568811, + 907828417, + -1, + 49338595, + 145140351, + 424188661, + 752432173, + 74428034, + 523406901, + -1, + 16551519, + 431726948, + -1, + 910113371, + -1, + 165222196, + 467026080, + 672239527, + 163643343, + -1, + -1, + 661812420, + 303371940, + 915825561, + -1, + 102108350, + 23490882, + -1, + 705533906, + 225240493, + 261031730, + 307939301, + 608643540, + 2138646, + 239197274, + 323296313, + -1, + -1, + 151987025, + 655765992, + 366231242, + -1, + 94394624, + 702694420, + 95022352, + 943973340, + -1, + 667785350, + -1, + 429301951, + 362095301, + -1, + -1, + -1, + 984603127, + 899641094, + -1, + -1, + 143842782, + -1, + 994322275, + 87317678, + 642374061, + -1, + 797693124, + 743668748, + -1, + -1, + 987432660, + -1, + 972926554, + 245639837, + 956159141, + 471829155, + -1, + -1, + 159720320, + -1, + 939158399, + 136755046, + 725836649, + 144417623, + 43862152, + 27254939, + 558613755, + -1, + 244930815, + -1, + -1, + -1, + 935407685, + 394114526, + 97736076, + -1, + 445631534, + -1, + 435067583, + 691327979, + 58540782, + -1, + -1, + 612281475, + 297246330, + 237755391, + 398309030, + 995707820, + 297913490, + -1, + -1, + -1, + 107298233, + 70982185, + 705304550, + -1, + 386522655, + 326303716, + 725860612, + -1, + 657500163, + 393523397, + 772054289, + -1, + 128735171, + -1, + -1, + 3422126, + -1, + 31179347, + -1, + 701411453, + -1, + 135025155, + 265306913, + 820849553, + -1, + -1, + 170707397, + 819554951, + 853398410, + 950779582, + 387632180, + -1, + 942311588, + -1, + -1, + 546621305, + 573418012, + 336782877, + 499053164, + 498901854, + 823883704, + 129313205, + -1, + 857452338, + -1, + 523415197, + -1, + 174910038, + 865445860, + 438576203, + 950555813, + 880721488, + -1, + 107062709, + 62737887, + 230985372, + -1, + -1, + -1, + 942335709, + -1, + -1, + 584769805, + 944417174, + 833923353, + 362513839, + 244237442, + 779883110, + 812885697, + 309574022, + 743112635, + 235450720, + 968924875, + -1, + -1, + -1, + 179077606, + -1, + -1, + 993727077, + 934511298, + 645098897, + 430596068, + 40500953, + 396850889, + 883395623, + 56033744, + 897342078, + 272281491, + 403190070, + 535009817, + 225521211, + 243903092, + 712079044, + 79926067, + -1, + -1, + -1, + 67623849, + 160638284, + -1, + -1, + 761854028, + -1, + -1, + 173965611, + -1, + -1, + 893474858, + 233046090, + 552419827, + 213564215, + -1, + 942375920, + 91085946, + 242710260, + 762507171, + 131151059, + -1, + 682944492, + 620980072, + 25645554, + 215989743, + 807381508, + -1, + -1, + 393434136, + -1, + -1, + 204481649, + -1, + 855245656, + -1, + -1, + 288954124, + -1, + 49083443, + 387872090, + -1, + 349084929, + 332020051, + -1, + 688568056, + -1, + -1, + -1, + -1, + -1, + 33577314, + -1, + -1, + 673991236, + 770106528, + 394321992, + 646468427, + 343027611, + 141479950, + -1, + 801631634, + -1, + 333499045, + 27281683, + 445159109, + 203390816, + 362936230, + 197505496, + 377710719, + -1, + -1, + 107334404, + 686079946, + -1, + 178017001, + -1, + -1, + -1, + 257134192, + -1, + -1, + 713658388, + 638697672, + 522820137, + 460258153, + 808314698, + 629719420, + -1, + 316710130, + 688817566, + -1, + -1, + -1, + 844489420, + 353037237, + 673444826, + 560865351, + 599536599, + -1, + 675984765, + 439819251, + -1, + 53830980, + -1, + 3434763, + 616436752, + 318973530, + -1, + 901022943, + 273378952, + -1, + -1, + 280536359, + 247385541, + 757192879, + 599972840, + 775470465, + 269170768, + 700518277, + 598130240, + -1, + 915819604, + -1, + -1, + 838298365, + 380032350, + 832783040, + 821721660, + 441792972, + 392423151, + 282497960, + -1, + 164619675, + -1, + 223320991, + 323208412, + 579621071, + 376299570, + 747094910, + -1, + -1, + -1, + 806281849, + 486777452, + -1, + -1, + 897893626, + -1, + -1, + 982929732, + 636465231, + 797990997, + 836517090, + 774731710, + 726112767, + 51774324, + 307892297, + 924953132, + -1, + 508704182, + 456630514, + 788298350, + -1, + -1, + 873099066, + 809983175, + 695815651, + 752673093, + -1, + 572580002, + -1, + 757604315, + 145165224, + 159871969, + 646031966, + 616795536, + 757787570, + 158724923, + 47126826, + 301302498, + 144739039, + -1, + 504023113, + 887536050, + 61556717, + 888427957, + 714682228, + 219730567, + 616598327, + 942402004, + 212664802, + 704698460, + 83593429, + -1, + 952446151, + -1, + -1, + -1, + -1, + 285380937, + 999701782, + 166436733, + 83809958, + 682588866, + 157439387, + 717553875, + 160599231, + 65723485, + 841492739, + 982112963, + 856469997, + -1, + -1, + 32437831, + -1, + 13249861, + 47415840, + 43382213, + 877825370, + -1, + 934012469, + 801684973, + -1, + 541862721, + 158920511, + 961615124, + 687682988, + 774034572, + 625195114, + 464172334, + 552935948, + 527739592, + 910093517, + 113871164, + 381139046, + 272187611, + -1, + 359743266, + -1, + 226289698, + 264422381, + 842648414, + 48322737, + 226687623, + -1, + 23549724, + -1, + -1, + -1, + -1, + 783994487, + 374533002, + -1, + 247160881, + -1, + 351962548, + 92755602, + 179628814, + -1, + -1, + 746632197, + 40558555, + -1, + -1, + 480824273, + 157413375, + -1, + -1, + 767702081, + -1, + 648604541, + -1, + 112975549, + -1, + 351347871, + 867406875, + 875813071, + 740642269, + 918055938, + -1, + 23303398, + -1, + 498519500, + 195836214, + 958660754, + -1, + 144914350, + 150451371, + 518622886, + 146141244, + -1, + -1, + -1, + 132059327, + 309334288, + 149016770, + -1, + 368852359, + 852026045, + 828117523, + 259530217, + 514314455, + -1, + 798459891, + -1, + 488389558, + 754340652, + -1, + 619512605, + 674385419, + 395462217, + -1, + 777421465, + 520075201, + -1, + 326573684, + 852858492, + 859995988, + -1, + 215294865, + 654944078, + 24239400, + -1, + 513576462, + 847151881, + 644002545, + 509305290, + 562164515, + -1, + 145434631, + 615682272, + 676893232, + 27542453, + 53600750, + 39715783, + -1, + 153976831, + 499915081, + 689782672, + 894293811, + 476465731, + 629556669, + 465776617, + -1, + -1, + 794663343, + 426002477, + 4301748, + -1, + 17599005, + -1, + 910598383, + 378410166, + 675530040, + 849396293, + 257290991, + -1, + -1, + 548986199, + -1, + 736041250, + 658363258, + 858888099, + 998618196, + 136440813, + 142927501, + -1, + -1, + -1, + 47186843, + 269367229, + 530117779, + 155569975, + -1, + -1, + 614787571, + 971211091, + -1, + 140923558, + -1, + -1, + 751467358, + 50399825, + 740108684, + 754111941, + 131223279, + -1, + 434168132, + 680967462, + 841039548, + 864475295, + 337395260, + 905752615, + -1, + 446983977, + 866267458, + -1, + -1, + -1, + 872878089, + 753696123, + 387053752, + 162434856, + 406657686, + 979613864, + -1, + 395052571, + -1, + 478450032, + 110904677, + 77583295, + -1, + 180153488, + -1, + -1, + 564324492, + 134858384, + -1, + 164739568, + 369925265, + 790444004, + -1, + 232655700, + 999860951, + 417037559, + -1, + 545106741, + -1, + 298953936, + 189140852, + -1, + 987715788, + 667333613, + -1, + 932188880, + 816593609, + 454265082, + -1, + -1, + -1, + 443634519, + -1, + 341029444, + 486292282, + 415777203, + 216076742, + -1, + 849634212, + 587619553, + 12708279, + 877792603, + -1, + 412207609, + -1, + -1, + -1, + 414714508, + 543722515, + -1, + 942780613, + 440250063, + 507161206, + 372684218, + -1, + 384044979, + 76232002, + -1, + -1, + -1, + -1, + 467830756, + 286216969, + 42896446, + 864622695, + 447221772, + 330832409, + 657330869, + 154555276, + 277701993, + 900474645, + 109745309, + 967767764, + 170230524, + 99758141, + 879272079, + -1, + 257338026, + -1, + 523441121, + 354030768, + -1, + -1, + -1, + 824634131, + 998965581, + 429767768, + 865172525, + -1, + 795580502, + -1, + -1, + -1, + 829532170, + 843436144, + 256129035, + 911591205, + 661812694, + 734936448, + 706121574, + 60966399, + 457121315, + 172139752, + -1, + 123358606, + 993340721, + 233876623, + 916817484, + -1, + -1, + 194590559, + 701499340, + 729235763, + -1, + 47169349, + 242544445, + 875327317, + -1, + 899892698, + -1, + 579332245, + 93993540, + -1, + 850777478, + 357048943, + 714758383, + 344151454, + 495903926, + 941291168, + 109774374, + 927573539, + -1, + 471000295, + 900030071, + 666174065, + 515828372, + 324616939, + -1, + 714235420, + 840429694, + 185667296, + -1, + 249418873, + -1, + -1, + -1, + 868088957, + -1, + 569821873, + -1, + 530599155, + 186717150, + 358587089, + -1, + 499195750, + 536247302, + 615318613, + 430844684, + -1, + 791749564, + 952156138, + -1, + 279035177, + 993660941, + 58580861, + 992513944, + 983711575, + -1, + 481557010, + 349987511, + 27213491, + 425983721, + 604955689, + 261997530, + 153804637, + 204931940, + 331680833, + -1, + 430389657, + -1, + 721183711, + 116912849, + 299699142, + 70068721, + 571466353, + -1, + -1, + 857922784, + -1, + 800610815, + 270396922, + 292404192, + -1, + -1, + 998121807, + 353563352, + -1, + 90368551, + -1, + 95362021, + -1, + -1, + 336492569, + -1, + -1, + 686496075, + 130193480, + -1, + 764879175, + 264475785, + 711644001, + -1, + 629265196, + 444126810, + 375604134, + 179779176, + -1, + 861394795, + -1, + 135769850, + 632073911, + 130971493, + 973443139, + 185806890, + 132300524, + 830611547, + -1, + -1, + 420045030, + -1, + 331668303, + 44466640, + 652093772, + -1, + 537172076, + 838450579, + 803230197, + -1, + 678760965, + 54814411, + 458031871, + 906682082, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 522527690, + 240059616, + 439402727, + 869987135, + 546717814, + 973792584, + -1, + -1, + -1, + 498970729, + 45831281, + 226718542, + 672523504, + 167175034, + 474235487, + -1, + -1, + 444698351, + -1, + 9472300, + 870340838, + 652061280, + 581965335, + -1, + -1, + -1, + 580391422, + 465039318, + -1, + -1, + -1, + 862115908, + 525380945, + 154765820, + 451158210, + -1, + 647787112, + 875632612, + -1, + 622993977, + 534724275, + 744594984, + -1, + 472971143, + 36823570, + -1, + 532041542, + 181551529, + -1, + 27260043, + 853177048, + 451417049, + -1, + -1, + -1, + 291320302, + 600793118, + 422300076, + 316494449, + -1, + -1, + 834654941, + 425147832, + 795033695, + 251136998, + 188485177, + 832165024, + 64795112, + 510787607, + 924605871, + -1, + 133924339, + 311653364, + 101126752, + 347626441, + 490134105, + 617734204, + 499543855, + -1, + 58023170, + -1, + -1, + 538798563, + 469435013, + 379684040, + -1, + -1, + -1, + 523519930, + 736763796, + 297382092, + -1, + -1, + -1, + -1, + -1, + 269766062, + 134625753, + 52930119, + 360187237, + 758285459, + -1, + 87864416, + -1, + 730697858, + 871580472, + 631233114, + 946706228, + 4132548, + 339485363, + -1, + -1, + 715442015, + 308229262, + 550644498, + 734604097, + 235423779, + 193898433, + -1, + 14736598, + 543378022, + 427355347, + 95689588, + 7257364, + 188806252, + -1, + 623339545, + 3304480, + 9138820, + 909535963, + 12471369, + 303132858, + 735684931, + 12551628, + 395481206, + 431018134, + 441532609, + -1, + 902922885, + 679428157, + -1, + 328289035, + -1, + 569800264, + 689152794, + 631925784, + 232385328, + -1, + 629423574, + -1, + -1, + 528359023, + -1, + -1, + 365064887, + 681106469, + 125174320, + -1, + 361517854, + 535957616, + -1, + -1, + 178176922, + -1, + 606348075, + -1, + 814898211, + 939464814, + 47719613, + 105307967, + -1, + 628177166, + 782136955, + 993031741, + 159801208, + 777366202, + -1, + -1, + 950084141, + 959870533, + 56034851, + 780752345, + 685421068, + 297061731, + 198406253, + -1, + -1, + 642889342, + 371671558, + -1, + 301596619, + 729198367, + 795473727, + 30581075, + -1, + 176406257, + -1, + 557542037, + 966269699, + -1, + -1, + -1, + 633430418, + 852241011, + -1, + 100336358, + 314908132, + 699346467, + 344428782, + 227791917, + 626773045, + -1, + 353546935, + -1, + 524475383, + 66540016, + 65241099, + -1, + -1, + -1, + 976841140, + -1, + 316301916, + 272093082, + -1, + 204420736, + 643889680, + 34200132, + -1, + 393020121, + -1, + 527743477, + 11313089, + 414885741, + 318239968, + 471017638, + 460418010, + 64381865, + 119765269, + 154420459, + 841647629, + 826208097, + 717505992, + -1, + 127022588, + 810342671, + 49299115, + 814205057, + 66047214, + -1, + -1, + 909383858, + 847060177, + 103642703, + 949637623, + 752673813, + 289917105, + 525919858, + -1, + -1, + -1, + 456004239, + 790482973, + 763955532, + 582857770, + -1, + 553664089, + 326043115, + 236871860, + -1, + 661431217, + -1, + 230420124, + 167007671, + -1, + 760893544, + -1, + 58499277, + 964690870, + 953461551, + -1, + -1, + 169319453, + -1, + 442100023, + 296088301, + 348358875, + 827347670, + 566006121, + 34864041, + -1, + 612227364, + 371094030, + -1, + -1, + 54674301, + 266232756, + -1, + 133079352, + -1, + -1, + -1, + -1, + -1, + 123629107, + 990029914, + 320323793, + -1, + -1, + 901040154, + 505751038, + 996343917, + 98404959, + 41938396, + 50325130, + -1, + 544845303, + 420659934, + 609441174, + 287422428, + 257014262, + 582648728, + 616225603, + -1, + 88384028, + 379917901, + 302036110, + 332479814, + 208500508, + 799564898, + 299730009, + 868262858, + 715872831, + -1, + -1, + 563042075, + -1, + 619686528, + 56331114, + 914405567, + 3845255, + -1, + -1, + 268979052, + 769487987, + 269733319, + 948620964, + -1, + 856033908, + 97186044, + 717094880, + 309950999, + -1, + 784286637, + -1, + 551957260, + 628486142, + 241077728, + 208645579, + 692716921, + 466813075, + 738266328, + -1, + 915866663, + -1, + -1, + 485911632, + 891222790, + 951656536, + 366797139, + 858124606, + -1, + 697293155, + 115119143, + -1, + 293533055, + 627948589, + -1, + 764281330, + 558465006, + 275552765, + 582882448, + 854038981, + 830342824, + 408940619, + 82500802, + 424738848, + -1, + 220495191, + 690532301, + -1, + 683117267, + 469789806, + 848692662, + 397422795, + 575023173, + 437662554, + 507364314, + -1, + 893745788, + -1, + -1, + 5685265, + 481859031, + 72004409, + 351839037, + -1, + 840797318, + 416094699, + 386470236, + 161340911, + 405247601, + -1, + -1, + 95038827, + 48497578, + 155867067, + 208860865, + 642335706, + -1, + -1, + -1, + 641028330, + 253954726, + 240815635, + -1, + 181170644, + 751615, + 779684678, + 306613691, + -1, + 218371185, + 986330590, + 44215829, + -1, + -1, + -1, + -1, + 495971324, + 925858095, + 238315217, + 995849010, + 991744184, + 756507630, + -1, + 629452141, + -1, + 381222176, + 503440770, + 14213593, + 900357344, + 221838590, + 175380576, + 944959725, + -1, + 79985246, + 147783007, + 485766518, + 454328597, + 538683954, + 953180814, + 324643397, + -1, + 201763179, + 384024931, + 119575775, + -1, + -1, + 844168755, + 519923761, + 274163385, + -1, + 361637821, + 205949784, + 912624693, + 743301371, + 387936361, + 380622271, + -1, + 289343925, + 864915800, + 136783751, + 667854054, + 145966220, + 679529536, + 353084653, + 371889582, + 28631987, + 375539339, + -1, + -1, + 915469560, + -1, + 769373047, + 995015749, + -1, + 483282030, + -1, + 733287299, + 41879477, + -1, + -1, + 142121083, + -1, + 330873405, + 478741656, + 338085987, + -1, + 223280635, + 879504770, + 530311387, + 31445768, + 576048362, + -1, + 922444077, + 841281087, + -1, + 841280073, + -1, + -1, + -1, + 11208742, + 456803586, + 304297225, + 786548033, + 316896182, + 562282140, + 738008694, + 836644394, + -1, + 72298301, + 315219602, + 446592302, + 459174891, + 227552903, + 761776907, + 888240409, + 983180440, + 810666218, + 200064091, + -1, + 533428440, + -1, + 802393055, + -1, + -1, + 887467848, + 725147106, + 242286834, + -1, + 850246662, + -1, + 495347445, + -1, + 161965415, + 948517774, + 866798195, + 816771087, + 247081928, + 960417783, + 539145976, + 765732069, + 727519811, + -1, + 735885522, + 469971089, + 516744992, + -1, + 693928176, + 235400819, + 372073351, + -1, + 560379264, + 102798346, + 419181047, + 300800779, + 221108653, + -1, + 408744742, + -1, + -1, + 644933781, + 880940457, + 12346499, + 516573189, + 193331413, + 100420689, + -1, + 88742638, + 19073009, + 467214596, + 732769653, + 825003462, + -1, + 124366456, + 82598835, + 832185156, + -1, + 244260077, + 200765028, + -1, + 870256835, + 319250477, + 922011651, + 951648937, + 521829111, + -1, + -1, + 614904229, + -1, + -1, + -1, + -1, + 603987150, + 429862310, + 846141181, + 33538162, + -1, + -1, + -1, + -1, + 589065080, + 756915722, + 261604199, + -1, + 574934561, + -1, + 612583592, + -1, + -1, + 388468852, + 902889676, + 891511138, + 470011062, + 588223387, + -1, + 223823476, + -1, + 281867438, + 697124790, + 305444873, + -1, + 352855575, + -1, + 509945077, + 48100129, + 788994932, + 853649784, + -1, + 919072263, + 718504267, + 277211022, + 897941064, + 934464627, + 640244071, + 427374648, + 919963653, + 979236777, + -1, + -1, + 466439593, + -1, + 167156973, + 382924127, + -1, + -1, + 818002541, + 576092072, + -1, + -1, + 510657205, + 120832263, + -1, + 379163788, + 229815410, + -1, + 793807277, + 494962984, + 466726573, + 652915169, + 75355848, + 998419060, + 322919185, + 80493427, + 547616196, + -1, + 515594597, + 445489805, + 118083206, + -1, + 721168293, + 286062215, + -1, + 655748494, + -1, + 372482024, + 660869447, + -1, + 736987495, + 802561144, + 340350479, + 397997080, + 829919061, + 604822164, + 649346797, + 711722185, + -1, + 992050649, + 590512433, + 159487492, + 348566138, + -1, + 210148860, + -1, + 178162106, + 337838412, + 268710229, + 890911595, + 265556983, + 629501022, + 264947765, + -1, + -1, + 874811426, + 120598222, + 333196183, + -1, + 940265069, + 536240112, + 389064692, + 637762650, + 151105962, + -1, + -1, + -1, + 919093457, + 622587979, + 993459591, + 901939447, + -1, + -1, + 429564709, + -1, + 487924233, + 735474634, + 227363132, + 150422324, + 458833259, + -1, + 333384481, + 360148734, + 963471668, + 680357917, + 418737237, + -1, + -1, + 511937954, + 283310837, + -1, + -1, + 486888260, + 186881933, + 536787888, + -1, + 422027659, + 150448233, + 217491420, + -1, + -1, + 817135812, + 536951420, + 982777302, + 84741717, + -1, + 130472450, + 353741992, + 384679496, + 751374629, + 84069298, + 7680687, + 361102021, + 947392797, + 734789738, + -1, + 599366326, + 997296144, + 171305605, + 820170076, + 845488451, + 681527995, + 857028481, + -1, + 877566860, + 213799225, + 514650908, + 656593594, + -1, + 9640637, + 396997279, + -1, + 539515948, + -1, + 86563353, + 984660274, + 888595022, + 578108340, + -1, + 779037750, + 363841726, + 476080605, + 253910940, + -1, + -1, + -1, + 966771044, + 33160649, + 101803128, + 33887160, + 536947613, + 402490685, + -1, + -1, + 224772744, + 312013850, + 721321410, + -1, + 733327487, + -1, + -1, + -1, + 749162107, + 198291, + 387277048, + 533243742, + 701373699, + 902123158, + -1, + 847510660, + 310972713, + 339272196, + 616221494, + 171143133, + 772792880, + 100491052, + -1, + 90951101, + -1, + 637099086, + 101507116, + -1, + 406558571, + 106687196, + 546395573, + 896078346, + -1, + 75157033, + 531252471, + -1, + 22655723, + 64096674, + 819300010, + -1, + 697928812, + 667637121, + 482139716, + -1, + -1, + 414840006, + 743847380, + 384958399, + -1, + -1, + 984818713, + -1, + -1, + -1, + -1, + 961608415, + -1, + 133863974, + 899107932, + -1, + 885556861, + 916432406, + 117185050, + -1, + 869181193, + -1, + 317939303, + 660328389, + -1, + 967208442, + -1, + -1, + -1, + -1, + 422035734, + -1, + 951948216, + -1, + -1, + 100835332, + -1, + 841592649, + 407047461, + -1, + 539106070, + 700904365, + 98931397, + 787616135, + 720760230, + 250734825, + -1, + 366237433, + 621873904, + 374456472, + 234985938, + -1, + 150919780, + -1, + 455322905, + 399658319, + -1, + 213733717, + 816452201, + 991098728, + -1, + 711017671, + 4451111, + 288076677, + 737726168, + 733564194, + -1, + -1, + 580585404, + 982197976, + 934562918, + 166410142, + 651240611, + -1, + 83764888, + 740807917, + 940941385, + 821105819, + -1, + 139042034, + 976646050, + 92451822, + -1, + 836830704, + 335315200, + -1, + 7671302, + 611243531, + 655716025, + 995040114, + 909769366, + -1, + 871855729, + -1, + 487614096, + 813584205, + 172229769, + 363333853, + 31663456, + 33461603, + 913987882, + 955372761, + 75110760, + 795559181, + 682319946, + 570967973, + 567179929, + 803496811, + 404040874, + 623730506, + -1, + 59655434, + 595260458, + 544123325, + 198411505, + 372245165, + 325116866, + -1, + -1, + 249843781, + -1, + 746792904, + 166897784, + -1, + 13410252, + 558525532, + -1, + 864275556, + 871834418, + -1, + 974065678, + -1, + 249626765, + -1, + 397726625, + 770391959, + 216821077, + -1, + -1, + 847149813, + 567349193, + 366764613, + 396293751, + 926072128, + -1, + -1, + -1, + -1, + -1, + 375880952, + -1, + 939772268, + 291091015, + -1, + 34088101, + 76339724, + -1, + 409090472, + -1, + 818597317, + -1, + 775969746, + -1, + -1, + 358302, + 743893733, + -1, + 646027048, + -1, + -1, + 52320196, + -1, + 932707571, + 133709369, + 218853202, + -1, + 963250758, + 915227027, + 116397896, + 126502969, + -1, + 154200465, + -1, + -1, + 736733603, + 678369923, + 234927959, + 688972832, + -1, + -1, + 972162244, + 29039340, + 731643447, + 392172416, + 898830250, + -1, + 740530459, + 889571685, + 647974984, + 17308560, + -1, + 769112074, + 414584175, + 756417935, + 102962960, + 97180194, + -1, + -1, + 937237446, + 438010598, + 156232157, + 156594237, + 99944437, + 787295699, + 797264249, + 822702781, + 567783825, + 947886263, + 631112373, + 853367075, + 836426856, + 483820849, + -1, + 619800185, + -1, + 794725760, + 115142268, + 238513767, + 365728250, + 386169360, + 70491528, + -1, + 820702182, + 633963002, + 986319807, + 840477544, + 653664051, + -1, + 380572768, + 797402756, + -1, + 791341514, + -1, + -1, + 382021857, + 620787248, + 994817433, + 639938383, + 906089325, + 45198684, + 532278798, + -1, + 187169942, + -1, + 157621439, + 391387089, + 366953269, + 606326306, + 182595032, + -1, + 355161568, + -1, + -1, + -1, + 724616442, + 40311922, + 799069495, + 256135980, + 879994326, + -1, + 420185554, + -1, + 179058092, + 67422744, + 91557266, + 32691885, + 822080921, + 284443977, + 260797278, + -1, + 532497082, + -1, + 68907631, + 943706091, + -1, + 544772998, + -1, + 457025931, + -1, + 966858706, + 570883142, + -1, + -1, + -1, + 133859219, + 197732769, + -1, + 831563997, + 550038124, + -1, + -1, + -1, + 722750889, + 847905635, + 262519297, + 304732332, + 467412827, + 843900742, + 334559366, + 92065315, + 152186484, + 938593564, + -1, + 558421672, + -1, + 793658832, + -1, + -1, + 662879943, + -1, + -1, + -1, + 884370220, + 369848450, + -1, + -1, + 940605683, + 867368444, + -1, + 37348254, + 565265577, + -1, + 974023089, + 677502993, + -1, + -1, + 418687472, + -1, + -1, + 918705618, + 350958547, + 319992606, + -1, + -1, + 307533585, + 832903556, + -1, + -1, + -1, + 657251609, + 288888096, + -1, + -1, + -1, + -1, + 364280222, + -1, + 591439002, + -1, + 355008810, + -1, + 913000984, + 447009807, + 59046732, + 428552752, + 169527023, + 909082886, + -1, + 836359314, + -1, + -1, + 420016943, + -1, + 447419457, + 918780992, + -1, + 567519856, + -1, + 935713148, + 577563514, + 47042712, + 348437394, + -1, + 169035219, + 621462064, + 427512757, + 404937796, + 586800259, + -1, + 879869190, + -1, + 897706182, + 85572304, + 41385127, + 409162601, + 907976409, + -1, + 524576474, + -1, + -1, + 970749896, + 483690910, + 250754319, + 42017291, + -1, + -1, + 299993123, + 683847964, + 859682372, + 247107789, + 962576237, + 959713574, + -1, + 423683106, + -1, + -1, + -1, + 412124624, + 987660144, + -1, + 470563316, + 36202632, + 703316377, + 867823646, + 153797847, + 445416658, + -1, + 863707377, + -1, + -1, + 312384165, + -1, + 662944936, + 567453282, + 45011729, + -1, + -1, + -1, + 427575918, + 845166104, + 354064313, + -1, + 78394595, + 530159159, + -1, + 809054256, + -1, + 351212027, + 737458671, + 12109231, + -1, + -1, + 351457102, + -1, + -1, + -1, + 559396938, + 202459286, + 112807966, + 177474416, + 425226168, + -1, + -1, + 217272907, + -1, + 476800277, + 988911056, + -1, + 82201077, + 900099527, + 336838377, + 623409378, + 8396515, + 462308190, + -1, + 359229343, + 94527973, + -1, + 328310388, + 411601182, + 428068967, + 467285978, + 585750111, + 312974383, + 935009511, + 43799697, + 753410012, + 740775297, + -1, + 104105578, + 541837777, + -1, + 251614234, + -1, + 490522917, + -1, + -1, + 150133941, + -1, + -1, + 476739681, + -1, + 895561154, + -1, + 865590428, + 937392407, + 163691560, + 696453041, + 263343707, + 879633681, + -1, + -1, + 383700239, + 161956083, + 477575407, + 189902296, + 275364112, + 803853089, + -1, + 768506253, + -1, + 930575472, + -1, + 265179679, + 514439599, + 566108234, + -1, + 237865211, + 297018412, + 735406729, + 371683150, + 490535631, + -1, + 785364690, + -1, + 104809498, + 530768873, + 478036692, + 252452342, + -1, + -1, + 981318925, + 919360497, + 203848829, + -1, + 7184486, + -1, + 301506858, + 623525401, + 224331228, + 971736522, + -1, + -1, + 204326860, + -1, + -1, + -1, + 430175800, + 704619066, + 829990404, + 736397349, + -1, + -1, + 740823707, + -1, + -1, + 95280611, + -1, + -1, + 990959166, + 232058241, + 627830626, + 764209544, + 221343228, + -1, + 169657981, + 935003176, + 583898447, + -1, + 287478651, + 544031050, + -1, + 546023809, + 983076220, + 773234073, + 954691109, + 525604866, + -1, + 466405417, + 242302098, + -1, + -1, + 195841558, + 4154436, + 817568744, + 460364615, + 344073195, + 76277373, + 158949560, + 423148272, + -1, + 63808709, + 643997086, + 497165979, + 180672221, + -1, + -1, + 846478293, + 137482998, + 405223695, + 835887788, + 454964098, + 239607882, + 352832523, + 514138458, + 298776672, + 646352541, + 267374642, + 773397207, + 813182244, + 476233792, + 110916660, + 429454238, + 224725307, + 107116813, + 697074600, + 453191428, + 889105981, + 365004376, + -1, + 805857671, + 807441986, + 437267803, + 7014193, + 305421400, + 866704002, + 95234475, + 752077038, + 330183443, + -1, + 978353137, + -1, + -1, + 193246680, + -1, + 620333962, + 507819050, + 8418483, + 605872222, + 564353769, + 979525523, + 61259704, + 791382118, + 739528212, + 159815867, + 267004902, + -1, + 837199727, + -1, + 740752093, + 855692863, + -1, + 471436506, + 440740680, + -1, + 49149972, + 287840013, + -1, + -1, + 497745905, + 760370856, + 50951636, + -1, + 945083686, + 184160400, + -1, + 863195539, + -1, + 419080905, + 842041674, + 610868298, + 678441110, + 150825659, + -1, + 396480265, + -1, + -1, + 925342122, + -1, + 11981416, + -1, + 150606836, + 112874836, + 454540426, + 738513687, + -1, + 733233237, + 28715098, + 468836989, + -1, + -1, + -1, + 616031498, + 149277933, + 974937205, + -1, + -1, + 837439026, + -1, + 420007078, + 247272089, + 681209668, + 45451026, + 807714209, + 399329922, + 483633174, + -1, + -1, + 659442567, + 790821766, + -1, + 520830696, + -1, + 625646511, + 325003968, + -1, + 106695011, + 491625228, + 968725870, + 525184554, + -1, + 129665638, + 104630144, + 917861623, + 371255908, + -1, + 406958792, + 71602084, + -1, + 101196008, + 822386042, + 275328142, + 266098559, + -1, + -1, + 345307676, + 386601744, + 230419747, + 907391633, + 449797637, + 927195204, + 354889015, + -1, + -1, + 279072212, + 544644022, + 589119385, + 516516692, + -1, + 700957731, + 492696339, + -1, + 852804313, + 551729057, + 272710918, + 726063321, + 122772595, + 972970584, + 605830149, + 316680147, + 536586502, + 838880201, + 50546529, + -1, + 88286296, + -1, + 740086379, + -1, + -1, + 874678559, + 271815143, + 71967993, + 7631056, + 805782762, + 814942208, + -1, + 114466985, + -1, + -1, + -1, + 226912764, + 877571, + -1, + 363559735, + -1, + -1, + 810605814, + 571678889, + 292067257, + -1, + 784273252, + -1, + -1, + -1, + -1, + 512245998, + 49498216, + -1, + 307781386, + -1, + 792275709, + 489883245, + 89522287, + 419396784, + 8859105, + 147278537, + 447944754, + 82896781, + -1, + -1, + 165493718, + -1, + 119849093, + -1, + 490403155, + 620022521, + 128242009, + -1, + -1, + 62095361, + 111377779, + 738271738, + 951796630, + 990392803, + 319988266, + 268402004, + 670098204, + 139209629, + -1, + 295759067, + 707254477, + 819476044, + 280193508, + -1, + -1, + -1, + 163607485, + 49611127, + 392544878, + 830548487, + 419771874, + 600224007, + -1, + 365141396, + 4847693, + 598986362, + 889364476, + -1, + 938068822, + -1, + 754341890, + -1, + 146463919, + 684618680, + -1, + 502831162, + 782546050, + -1, + 591443970, + 582830371, + 780802164, + 530931218, + 729598834, + 561777343, + 799931323, + 56387894, + 468188922, + -1, + 887911777, + -1, + -1, + 277248690, + -1, + 330788552, + -1, + -1, + 167384043, + 802675566, + 644062007, + -1, + 610164577, + 295664872, + 518899727, + 766158029, + 236576606, + 178403751, + -1, + 895990646, + 268409477, + -1, + -1, + 848593441, + 258863129, + 404670623, + 917000553, + 3379820, + -1, + 718798398, + 396108272, + 391489943, + -1, + -1, + 52417568, + -1, + -1, + 916953032, + -1, + -1, + 256484597, + 45991741, + 458286936, + 951382507, + -1, + -1, + 633650073, + -1, + -1, + 276090523, + 233464522, + -1, + -1, + 241369403, + 915477721, + 938476037, + 533671065, + 49634836, + 82737041, + -1, + 393198808, + -1, + 652281892, + 357877697, + 572717200, + -1, + 921836882, + 792231669, + 752820905, + 714119608, + 946161531, + 443628490, + 67669072, + 84235368, + -1, + 851926139, + 89425353, + 431890414, + 811974204, + 750467507, + 304959149, + 636773223, + 19971070, + 211073085, + 508725449, + -1, + -1, + -1, + 595677953, + 926666840, + 632112501, + 34861928, + -1, + -1, + -1, + 510727489, + -1, + 100164535, + -1, + -1, + 473858959, + 293746419, + 946865077, + 735177910, + 514221347, + -1, + 756664890, + 295181970, + 907722424, + -1, + 188704085, + 945275459, + 493828374, + 251056737, + -1, + 465204072, + 403792740, + 48115881, + 885117445, + -1, + -1, + 541733761, + 291387591, + 640630598, + 979655028, + 312517531, + 400904612, + -1, + 566178327, + -1, + 387269904, + -1, + -1, + -1, + 482678252, + -1, + 39050128, + -1, + 997073346, + 447587132, + 901176079, + -1, + -1, + 144016942, + 859823383, + -1, + 409375177, + 652613190, + 506968468, + 147668590, + 815028307, + -1, + 562647341, + -1, + 633454273, + 503857912, + 914415166, + 564034433, + 944544555, + 532826187, + 46207302, + 503195713, + 89284437, + 528479165, + 170690928, + 508012405, + -1, + -1, + -1, + 822292905, + 899458749, + 329065192, + 211553418, + -1, + 10586088, + 531105785, + -1, + 480721988, + -1, + 929213814, + 491443272, + -1, + -1, + -1, + 630996188, + 199104129, + 242258901, + 674824945, + -1, + 82094442, + -1, + 894076404, + 208527843, + -1, + 258659967, + 665902051, + -1, + -1, + 999596639, + 733671815, + 443514457, + 151683260, + 332230380, + 607377742, + -1, + -1, + 445199828, + 455929860, + -1, + -1, + -1, + 633876142, + -1, + 243657299, + -1, + 375292876, + 67818334, + 363179123, + 822006778, + 237714136, + -1, + 743967959, + -1, + 432972959, + 659619807, + 598535485, + 646704667, + 9520304, + -1, + -1, + 820671449, + 852344154, + 544848631, + 837026831, + 566320705, + -1, + 859869542, + 519575695, + 339976896, + -1, + 869156129, + -1, + -1, + 539792642, + 990489433, + -1, + 212284564, + 474932920, + -1, + -1, + -1, + -1, + 658197387, + 870106580, + 628942917, + 277193551, + 190222304, + -1, + 61949354, + 175238010, + 72560701, + 581438283, + 827548390, + 669004712, + 495828356, + -1, + -1, + 895459322, + 354075479, + 648854062, + -1, + 374009576, + 75002303, + 817984714, + 837417646, + -1, + 704337663, + 366107518, + 100313081, + -1, + 696768064, + 4774655, + 418985575, + -1, + 703532689, + 801891254, + 450526805, + 781960607, + 784714239, + 78061498, + -1, + 970307636, + -1, + 788232459, + 586469302, + 855391604, + -1, + 922892688, + -1, + 3465740, + -1, + 750033364, + 454266914, + -1, + 629426383, + 32274125, + 278959121, + 873688153, + 938505298, + -1, + -1, + 103945500, + 642575806, + -1, + 486529939, + 256055245, + -1, + 33576889, + -1, + 613357895, + 363190641, + -1, + 637468394, + 826073173, + 461135426, + -1, + 510268421, + 80412323, + 625410191, + 233158876, + 311126964, + -1, + -1, + 860035271, + -1, + -1, + 708373389, + 766210781, + 865370149, + -1, + 124105148, + 520365881, + 326303444, + 178052812, + -1, + 444628548, + 391906056, + -1, + -1, + 202975501, + -1, + -1, + 437397829, + 331771573, + 136869442, + 507328097, + -1, + 67657536, + 649185089, + 761919639, + -1, + 362205782, + -1, + 786603092, + 288868957, + 797902725, + -1, + 824725253, + 766782663, + -1, + 991326212, + 734835185, + 628260752, + -1, + -1, + 845384791, + 461930534, + 529769280, + 693674052, + -1, + 407469578, + -1, + 698585040, + 2856391, + -1, + -1, + 366604242, + 866685892, + 346045223, + 344041656, + 843946315, + 601815246, + 198595840, + 354562695, + -1, + 557250314, + -1, + -1, + 619905677, + -1, + 46559560, + 264702429, + 353377163, + 181322188, + 49399644, + 528457674, + 355591222, + 872748153, + 255439877, + -1, + 600180178, + 794973726, + 819461859, + 824638981, + 8503125, + 617883992, + 396095506, + -1, + 211041517, + 380454473, + 873315641, + -1, + -1, + 979796554, + 910240015, + -1, + -1, + -1, + 457060266, + -1, + 280213907, + -1, + 625287071, + 605192863, + 489612025, + 337330515, + 187963692, + 881632027, + -1, + 855553080, + -1, + 833072630, + 582951158, + 910419559, + -1, + 968412653, + 988290507, + 759012712, + 32444467, + -1, + -1, + 479942663, + -1, + 657540850, + 920214701, + -1, + 9995474, + -1, + 949496853, + -1, + 38918336, + 396621950, + 90522583, + -1, + 303904501, + -1, + 179030849, + 623049912, + 185733287, + 716167112, + 76068178, + 254598583, + -1, + 853565750, + -1, + 663416330, + 221007797, + 402687004, + 656731803, + 769631851, + 840509298, + -1, + -1, + 653427579, + 931749118, + 526505901, + 412736201, + -1, + -1, + 682234111, + 419067358, + 872661893, + 281652781, + 215793690, + 854577574, + 108460140, + -1, + -1, + 173391670, + 923236489, + 408164265, + 166483336, + 657401156, + 403732184, + 472799219, + -1, + 588271648, + -1, + -1, + -1, + -1, + 821022089, + 302826801, + 963674416, + -1, + 963385462, + -1, + 979982942, + -1, + 996478342, + 703263249, + 856420776, + 219870793, + 531856269, + 198204502, + 527519389, + 197079719, + 396352212, + 711007596, + 640619225, + 944973283, + 592975659, + 251618663, + 375723190, + 94254566, + 197802586, + 806306178, + 945667425, + 384733529, + -1, + -1, + 108855309, + 864458277, + -1, + 95199879, + 616181826, + 618394613, + 161836844, + 433487160, + 194766421, + -1, + -1, + 34752876, + 112486020, + 802439739, + -1, + 254972191, + 694476845, + -1, + 600580409, + 838357655, + 75287916, + 459285729, + 429775071, + 543497292, + 672130323, + -1, + 74401152, + 517551822, + -1, + 388827211, + -1, + 899663399, + -1, + -1, + -1, + 938228799, + 667007107, + 306132414, + -1, + 468374257, + 56634241, + 211600021, + 847471945, + 271330509, + -1, + 705378059, + -1, + 614083459, + 66591223, + 274024546, + -1, + 47209441, + 619780895, + -1, + -1, + -1, + -1, + 880686417, + 762138072, + 850274140, + 962021816, + 68735875, + 330525376, + -1, + 863517092, + 439891335, + 954212502, + -1, + 538720475, + -1, + 27409536, + 831643223, + -1, + -1, + -1, + 445226005, + -1, + -1, + 152337673, + 712387317, + -1, + -1, + 869541586, + 354225739, + 327648136, + -1, + -1, + 28959014, + -1, + 703624772, + 72433506, + -1, + -1, + -1, + 760527250, + 904281746, + -1, + 959117448, + 88721954, + 792337694, + 751119604, + -1, + 547997070, + 605986581, + 896902855, + -1, + 839851350, + -1, + 699332481, + 36164750, + -1, + 663403843, + -1, + -1, + 398547595, + -1, + 891706560, + 996683365, + 870297008, + 219840164, + 277966006, + 705460930, + 823486595, + -1, + 153637159, + 665355052, + -1, + 552077216, + -1, + 854860298, + 712703258, + 788614848, + 718187012, + -1, + 842786951, + 216580245, + -1, + 425066410, + 224342356, + 953680587, + 839970904, + 913134875, + 917205104, + 580736696, + 951061614, + -1, + -1, + -1, + -1, + 26012475, + 301180651, + 904387009, + -1, + -1, + 847454460, + 145790278, + -1, + 508456756, + 348183130, + 383167071, + 458130761, + 885746816, + 181218819, + 178550296, + 382275788, + -1, + 895584683, + 770318830, + -1, + 293899444, + -1, + 21764996, + 338055336, + 341464891, + 642647922, + 612815219, + 257401645, + -1, + 364495505, + 80376022, + 405599822, + 267847918, + -1, + 371890103, + 279329852, + 232733961, + 142065565, + 210484544, + 170077946, + 658895834, + 592405521, + -1, + 731544227, + -1, + -1, + 372203132, + -1, + 726597809, + -1, + 606145775, + 448908855, + 808477911, + 47714880, + 854148256, + 999329629, + 852029272, + 742626897, + -1, + 187105375, + -1, + 775016617, + 461135576, + 176649911, + -1, + -1, + 8464347, + 814152407, + -1, + 32960633, + -1, + -1, + 363352643, + -1, + 314879555, + 762628381, + 231351692, + 915295701, + -1, + 658723137, + 818367527, + 345341242, + -1, + 51611263, + 416229625, + 913669527, + -1, + 120948244, + 959315120, + -1, + 982240140, + 826665806, + 991127167, + 120429445, + 270363104, + -1, + -1, + 745141742, + 290757670, + -1, + 400730835, + 61787705, + 266093224, + -1, + -1, + 182863332, + 294119498, + 939366568, + -1, + 109171337, + -1, + -1, + 267297896, + -1, + 166857842, + 526147981, + -1, + 617681294, + 95595911, + -1, + 709748348, + 399792750, + 12679773, + -1, + 587760664, + 832621795, + -1, + 928270737, + -1, + 222352688, + -1, + 526130944, + -1, + 595552796, + -1, + 825559088, + 356992623, + 671496793, + 799914386, + 358194193, + -1, + -1, + 414230702, + 719248004, + 555062522, + 128411533, + -1, + 934071912, + 19966030, + -1, + 827854915, + 776591914, + 161280599, + 824214967, + -1, + -1, + 35342762, + 227813916, + -1, + 590930226, + 750789552, + 645214114, + -1, + 807984414, + -1, + 624695630, + 592605566, + 156165308, + 205561757, + 166592110, + -1, + 604859345, + 224654024, + 246301273, + 702069100, + 972673556, + 140949887, + -1, + 848264542, + 627013064, + -1, + 854145633, + 943672423, + 56640652, + 160914932, + 786399018, + 818712173, + -1, + 401852750, + -1, + 591874376, + 47115360, + -1, + -1, + 88179154, + 892035013, + -1, + 758102913, + 449920016, + 860616454, + 341288168, + -1, + -1, + -1, + 378690555, + -1, + 545986788, + 508363961, + 389856757, + -1, + 159606329, + 214864626, + 918241961, + 873245507, + 720702147, + 16007690, + 406992069, + 664212870, + 521511143, + 703862846, + 302684987, + 808390337, + 846089876, + 926304673, + 983539276, + 210217088, + 726512069, + 373950616, + 996416983, + 259720723, + 587161976, + 558192881, + 855251378, + 948286368, + -1, + -1, + 749050655, + 358150818, + 943523130, + 441914182, + 392167176, + -1, + 337642071, + 623464687, + -1, + 222418931, + 458252850, + 603646820, + -1, + 486186179, + 625903282, + -1, + -1, + -1, + 814905730, + 429606239, + 522763722, + -1, + 352930683, + 585444793, + -1, + 314763436, + -1, + 108226892, + 78288424, + 984807284, + 496884352, + 233051562, + 98319916, + -1, + 60829426, + 485457472, + 668742002, + 629118331, + 186423484, + 267942103, + 171952889, + 599579932, + 117918223, + 400657868, + 535509222, + 130847786, + -1, + 989808121, + 530530739, + 733742349, + 223851959, + 150847026, + 630664276, + 689840097, + 748591763, + 339290300, + 725404188, + 265332991, + 212649636, + -1, + 247171119, + 980079235, + 103581711, + 599531699, + -1, + -1, + -1, + 161368998, + -1, + -1, + -1, + 760193952, + 324603511, + 922932019, + 978122128, + 560965261, + -1, + -1, + 345105674, + 664948046, + 794916218, + 155373600, + -1, + 934548480, + 269266715, + 499297261, + -1, + 935948658, + -1, + 539027575, + 923404250, + -1, + 898777827, + 704690636, + 444931685, + 387447959, + 349009159, + 537392584, + -1, + 261896877, + 656438911, + 948270629, + 422210307, + 488555457, + 372374961, + 596781264, + 710035273, + 372626671, + 923959228, + 198053231, + 386520013, + 802379653, + 703194637, + 800305265, + 614865665, + -1, + -1, + 100908902, + 900329574, + -1, + 616747514, + 896343517, + 927885216, + 998675748, + -1, + 197584974, + -1, + -1, + 542396502, + 820611994, + 75421643, + 790012616, + -1, + 782055474, + 267794740, + -1, + 989125606, + 393173956, + 588825039, + -1, + -1, + 907685787, + 954793942, + 611977792, + -1, + -1, + -1, + 446667466, + 150249051, + 906046593, + -1, + 320995459, + -1, + 59183876, + 629214478, + 309071252, + 215917026, + 410277302, + -1, + 940209194, + -1, + 144753247, + 312332299, + 484053016, + -1, + 919806664, + 188200245, + -1, + -1, + 132087709, + 68727336, + -1, + -1, + -1, + 103776770, + 794853877, + 617724940, + 473044045, + 130668823, + -1, + 71752663, + -1, + 689101668, + 311230058, + -1, + 508417335, + 700224912, + 653469633, + -1, + 464229323, + 408972935, + -1, + 178741871, + 628792427, + -1, + 507263042, + -1, + 449065255, + 743128031, + 90190189, + 129591007, + -1, + 959524141, + 307651105, + -1, + 426529000, + 42183846, + 569898359, + 667253669, + -1, + 709582111, + -1, + 536352002, + 453883831, + 535251683, + 70593439, + 323842166, + 460943013, + 283778487, + 468122093, + 229230603, + 238272621, + 412343481, + 836898234, + -1, + 679163779, + 319675161, + 897635876, + 348597471, + 109318799, + 933091103, + 122795510, + -1, + 929993106, + 558803871, + 741498762, + -1, + -1, + -1, + -1, + 530866049, + 324819007, + 372511842, + -1, + -1, + 258117679, + 405220537, + 161346553, + 809750944, + 552962449, + -1, + -1, + 950493389, + 652698115, + -1, + 837389542, + 415500941, + -1, + -1, + 940018970, + -1, + 272474089, + 27938339, + 511284063, + 82206258, + 786479026, + 838137073, + -1, + 301940128, + 296488497, + -1, + 908837960, + 919561002, + -1, + 895149722, + 187449439, + -1, + 920726580, + -1, + -1, + 266419195, + 832330314, + -1, + -1, + 274635361, + 339736792, + 418617431, + -1, + 215020175, + 267565581, + -1, + -1, + -1, + 616707660, + 949677820, + 430293637, + -1, + -1, + 891078771, + -1, + 789785048, + -1, + 735054061, + 362066084, + 881788131, + 395982723, + 446434711, + 901751515, + -1, + 451495821, + 552098786, + 886898175, + -1, + -1, + 181373917, + 708543346, + 348778430, + -1, + 356659901, + 58810368, + 525425016, + -1, + 258468387, + 823927827, + -1, + -1, + 692422168, + -1, + -1, + -1, + -1, + -1, + 987325086, + 465685333, + 831119250, + 830134183, + -1, + -1, + -1, + 560380099, + 411570388, + -1, + -1, + -1, + 529132469, + 579259258, + -1, + -1, + -1, + 173939513, + 980311142, + 95432643, + 739669067, + 829735090, + 657886599, + -1, + 596119550, + 663077477, + 243519181, + 575462673, + 96057937, + -1, + 280135439, + -1, + 30256464, + 628983810, + 480188384, + 986599538, + 529132631, + -1, + 530338589, + 18668369, + -1, + 399739339, + -1, + -1, + 430731880, + -1, + -1, + -1, + 629929782, + 222583910, + 646757240, + 265212890, + 740223567, + 245960126, + 45565852, + 374917692, + 832111548, + 141107066, + 295088547, + -1, + 960575859, + 34214754, + 893603419, + 783609328, + 630311106, + 900269872, + -1, + 23637389, + 792297507, + 653896303, + 66589913, + -1, + 111819465, + 769905455, + -1, + 376520044, + -1, + 117406477, + 439245065, + -1, + -1, + 403498413, + 552265266, + 590802753, + 547997057, + -1, + 686360910, + 324757733, + 594650502, + -1, + 170366531, + 289634822, + -1, + 143911243, + -1, + 87076380, + 264449091, + -1, + 20867205, + -1, + -1, + 857552556, + 728420746, + -1, + 240647056, + 837056600, + 290126713, + -1, + 317906840, + 184877368, + 568627472, + 213263629, + -1, + -1, + -1, + 776140583, + 508994904, + 489442154, + -1, + 560345385, + -1, + 433424215, + 357105783, + -1, + -1, + 961580410, + -1, + 869675291, + -1, + 547774813, + 583704267, + 318357990, + 478274487, + -1, + 713918093, + 316325243, + 678682233, + -1, + 340917838, + 232783617, + 273086265, + 189485412, + 562692126, + 101909460, + 533888281, + -1, + 967915995, + -1, + 623286282, + 168656435, + 268447095, + 877833991, + 80733657, + 489705884, + 720156545, + 410877570, + -1, + 181194940, + 873341450, + -1, + -1, + -1, + -1, + 173133228, + -1, + 171313274, + 831981683, + 154439615, + 918667700, + 551466793, + 43408186, + 817249343, + 279939832, + 7246069, + 67878301, + 273038224, + -1, + -1, + 443402384, + 473136604, + 34189797, + 887130658, + -1, + -1, + 326007833, + -1, + -1, + -1, + 368893939, + 401295517, + 46017145, + 568740746, + 523733513, + 854255231, + 946106668, + -1, + -1, + 651537713, + 812855461, + -1, + 738387555, + 343454563, + 778642005, + 974001376, + 421783825, + -1, + -1, + 202299624, + 736977303, + 20495283, + 559698683, + 305774536, + 481072503, + -1, + 661074938, + 927326498, + 938386614, + 183469656, + 643260126, + 454419762, + 540184933, + 442512928, + -1, + -1, + 75439535, + 789684963, + 673526260, + -1, + 640263223, + 47756970, + 406544278, + 517767403, + 619642158, + 25042025, + -1, + 697825165, + 779042924, + 579118755, + -1, + 297529675, + -1, + 763154836, + 370713283, + -1, + 208904777, + -1, + 977081290, + 61592673, + 726304006, + 314058472, + 183936070, + -1, + 57913769, + -1, + 590979181, + 404606895, + -1, + 112956062, + 839516600, + 725174965, + 477959458, + -1, + -1, + 7361240, + 47263593, + 669872478, + 498699538, + 956743213, + 761625884, + 487278198, + -1, + -1, + -1, + -1, + 690685309, + 964080461, + 545596961, + 238029998, + 221120579, + -1, + 263450943, + 871495942, + 888456091, + 54727456, + 128153993, + 667597278, + 45072595, + -1, + 915492395, + 580365632, + 551514191, + 373036144, + 87754243, + -1, + 405245042, + -1, + -1, + 851550975, + 917780743, + 424240095, + -1, + -1, + 621663030, + 148645078, + 219479988, + 400640836, + 950546821, + 44216197, + 19509020, + 49837024, + 943948084, + -1, + 815098354, + 864678819, + 108225038, + -1, + -1, + -1, + 928109530, + -1, + -1, + -1, + -1, + -1, + -1, + 683039985, + -1, + 220183941, + -1, + 558663476, + 440677315, + 469787604, + 355218287, + 212329797, + 417869474, + -1, + 557297676, + 31165498, + 98900270, + 365384179, + 139689028, + -1, + 930078834, + -1, + -1, + 911745789, + 706552176, + -1, + -1, + 649138155, + 779433376, + 828965647, + 677507878, + 353434791, + 361628994, + 770613654, + 341472193, + 269369547, + 166012503, + 832067475, + 187819376, + -1, + -1, + 7241649, + 360233868, + 814081681, + 168625088, + 330915541, + 434692113, + -1, + 672148462, + -1, + 397100026, + 338174576, + 268435658, + 522912474, + 724547431, + 232461630, + -1, + 374440662, + 450366560, + 190999105, + 594911275, + -1, + 558311418, + 168403328, + 499274218, + 465665538, + 494475296, + 97570820, + 760173665, + -1, + -1, + 225900519, + -1, + 133980306, + 206237329, + 602416617, + 684075700, + 805101707, + 13856842, + 387260928, + 300569919, + 16523779, + 737642038, + 11420016, + -1, + -1, + 773506216, + -1, + -1, + 154422417, + 248638792, + 626267034, + 539046417, + 508192403, + -1, + -1, + -1, + -1, + -1, + 941625273, + 612193912, + 566870256, + 408979995, + 949215177, + 68859502, + 871446040, + 374745193, + 620302605, + 635744547, + -1, + 854412402, + 659708417, + 440231972, + -1, + -1, + -1, + 48575118, + 948729122, + 147075887, + 383302699, + 230681769, + 934661167, + -1, + -1, + 103566903, + 289016065, + 210129231, + 78197645, + 338771959, + -1, + 395596526, + 576784676, + -1, + 653188271, + -1, + 963018198, + 536011455, + 819186398, + 340932501, + 919250936, + -1, + 90423829, + 528696497, + -1, + 964570410, + 516646874, + 63414898, + -1, + 741622533, + 568001420, + -1, + 63349447, + 122150804, + 294134599, + 989681979, + 957098973, + 927414043, + 778859214, + 623652985, + -1, + 283938789, + 926668937, + 829121344, + -1, + 925686972, + 435648148, + 274009552, + -1, + 295424402, + -1, + 877645477, + 91329785, + 179566352, + 635284078, + 668393219, + 345389499, + 621303695, + 497759805, + 436114636, + 763587409, + 845845236, + 799400089, + 711627267, + 439941398, + 167570740, + 69036972, + 614359182, + 624851266, + 5168535, + 61419954, + 55943099, + -1, + -1, + 243192939, + 66383380, + -1, + 365186448, + 83637477, + 878804469, + 72873151, + -1, + -1, + 675513468, + -1, + -1, + -1, + -1, + -1, + 483215888, + 181651046, + -1, + 274806635, + -1, + 323778809, + 260900589, + 758365992, + 50784855, + 510609478, + 432117834, + 70440980, + 27121273, + -1, + 680832081, + 19960520, + 924142338, + 846630444, + 30776369, + -1, + 107786377, + 625144429, + 947068751, + 83890570, + 916437702, + -1, + 513616054, + 526559833, + -1, + 817002532, + 962933735, + 649318857, + -1, + -1, + -1, + -1, + 109305598, + 601477293, + 910610928, + 484690502, + 981019275, + -1, + 690031878, + 533961464, + -1, + 149516999, + 781222313, + 300114278, + 479715669, + -1, + -1, + 436800360, + 759056926, + -1, + -1, + 305233329, + 912002392, + 608733451, + -1, + 815933835, + -1, + 945235265, + -1, + 866116664, + -1, + -1, + -1, + -1, + 923990293, + 196985081, + 272701637, + 507634232, + 634076884, + -1, + 886228897, + 211074734, + 560160607, + 602983382, + 422520531, + 831380971, + 283943250, + 616945186, + 132481353, + 777838528, + 515093568, + -1, + 434595012, + 309523700, + 485799756, + 120500792, + 333002120, + -1, + 884320377, + 314239173, + 94317545, + 481360279, + -1, + 669155815, + 887830505, + 588320742, + 457592509, + -1, + 51234778, + 414509940, + -1, + 768889809, + 635745417, + 694742290, + 592700511, + 256196221, + 882680581, + 764091136, + 496925949, + 776767070, + -1, + 584647748, + 779150233, + 147533235, + -1, + -1, + -1, + 133574230, + 575163403, + 66492079, + 890675915, + 502715522, + 398774856, + 724938163, + -1, + 673049579, + -1, + 6650081, + -1, + 763421814, + -1, + -1, + 904129310, + 65320290, + 642228850, + 101840549, + 262667862, + 684618460, + 307740009, + 796190464, + 710008551, + 597244605, + 504545951, + 385343080, + 619468472, + -1, + 283049547, + 560597128, + -1, + 952284537, + -1, + 108078421, + 292282159, + 122825175, + -1, + 149141618, + 167094201, + 193591193, + -1, + 456809455, + 294397159, + -1, + 425989148, + 186094516, + -1, + 595096857, + -1, + 483350798, + -1, + -1, + 848342647, + 595595646, + 829677352, + -1, + 133938342, + -1, + 585125238, + -1, + 604050037, + 283137923, + 314140299, + 641176688, + 747198303, + 306737676, + 101144798, + -1, + -1, + 618151684, + -1, + 422230923, + 30134208, + 288749931, + 573136827, + 964121808, + 822106807, + -1, + 73322672, + -1, + -1, + -1, + 639131516, + 649864244, + 445193683, + 739250297, + 559377383, + -1, + 927790120, + 310339841, + -1, + 517359622, + -1, + 561733594, + 266109074, + 228901097, + 678744378, + 466452835, + 846142381, + -1, + 78883758, + 676640762, + 993118842, + 41624057, + 386763107, + 780043347, + 730068050, + 658005527, + -1, + 877038172, + -1, + 154896952, + 13565777, + -1, + 71769864, + 123166534, + 212498368, + -1, + 235405421, + 786470118, + 788615581, + 370434103, + 512530479, + 565716498, + 504375963, + -1, + 793317230, + 783966535, + 682478159, + 114402843, + 4538535, + 579118387, + 783773905, + 637341311, + 98239451, + 964271121, + 800328928, + 242860887, + -1, + 386588088, + 345332614, + 872978563, + 667600214, + 345324478, + 57160622, + -1, + -1, + 362959480, + -1, + 663513193, + 496515902, + -1, + 200884392, + 200410593, + 529300604, + 71231524, + 925385549, + 119095370, + 961172641, + 152289519, + 128722239, + 74962145, + 196974318, + 934232191, + -1, + 719012490, + 590914846, + -1, + -1, + 168843596, + -1, + 763265209, + 949597884, + -1, + -1, + 375724522, + -1, + 207324045, + -1, + 555453108, + 156007411, + -1, + 147597576, + 947835183, + -1, + -1, + 349943175, + 107626093, + 895679258, + 706391427, + 159811355, + 451289165, + 451560367, + 667859378, + 344577451, + 3381458, + 322255471, + 883473449, + 252199917, + 499838794, + 384307514, + 842541890, + -1, + -1, + -1, + 554321407, + -1, + 861789661, + 430936311, + 310109216, + 278841739, + -1, + 653390580, + -1, + 62441585, + -1, + 682354075, + 584651266, + 816722686, + 738633526, + 482909196, + 531173217, + 71447588, + 74983216, + -1, + 487272707, + 733077345, + 630748836, + 266276282, + -1, + 874832628, + -1, + 233402391, + 788754816, + 332005587, + -1, + 671645663, + 352360065, + 748871377, + -1, + 116655863, + -1, + 231168345, + 289124099, + 656284254, + 741289561, + -1, + 365043160, + 75494911, + 775140368, + 35478883, + 276988743, + 458883260, + 59990155, + 362059318, + 803502151, + -1, + 956930191, + 262228269, + -1, + -1, + 777411234, + 397464275, + -1, + -1, + 230153449, + -1, + 359343324, + 499707200, + 478802788, + 980722889, + 856242892, + 252647495, + -1, + 553272001, + -1, + 272513365, + 659737058, + 354199447, + 637083710, + 545537922, + 389192393, + 256919888, + 80468751, + 502018150, + 370225709, + 614572509, + 674572309, + 578095016, + -1, + 264614150, + 964024413, + -1, + 109538058, + -1, + 444583865, + -1, + -1, + 460138220, + -1, + -1, + -1, + 956503795, + 762854300, + 673691708, + -1, + -1, + 96844247, + 14724038, + 355483516, + 523588319, + -1, + 502337996, + -1, + 279589268, + 111322707, + -1, + 532025503, + 994634045, + 563395855, + 914661018, + 605402550, + 265908536, + 770750913, + 932275317, + -1, + 527508564, + 689233276, + 516336345, + 989580438, + 136365045, + -1, + 311040829, + 472818205, + 882978979, + 479678088, + -1, + 989151203, + 535546559, + 522287189, + -1, + -1, + 842712203, + -1, + 600742718, + 907143030, + -1, + 875130402, + 945341399, + 521322992, + -1, + -1, + 287078245, + 372530472, + 406313063, + 334900779, + -1, + 176327824, + 83842187, + -1, + 550576510, + -1, + -1, + 455295633, + 92972845, + 489136113, + 443258471, + 970989158, + 742750844, + 742739381, + 817400697, + -1, + 436274502, + -1, + 206713459, + -1, + 754112579, + 32892219, + -1, + 440503114, + 718701394, + 625863801, + 279960806, + 698787317, + 83796715, + 988209164, + 609955275, + 962270771, + -1, + -1, + 281073017, + -1, + 853197502, + 953060007, + 215741806, + -1, + 180801553, + -1, + 377344712, + -1, + 466198490, + 642717755, + -1, + -1, + 338723560, + 919100547, + 69672656, + -1, + 970217191, + -1, + 780274961, + 966928065, + -1, + -1, + -1, + 832731492, + 628747674, + -1, + -1, + 795372328, + 439378433, + 866359930, + 852017579, + 670697492, + -1, + 262159383, + -1, + 761756809, + 970329099, + 647723210, + -1, + 431594001, + 5302433, + -1, + 792453110, + 3261421, + 162289163, + -1, + 132893771, + 483454238, + 44288935, + -1, + 422913408, + -1, + -1, + 458370139, + 561948625, + -1, + 680027156, + 952640871, + -1, + 988176208, + 162965643, + -1, + 275347876, + -1, + 621802539, + 913729529, + -1, + -1, + 633640390, + -1, + 771972752, + -1, + 633014809, + -1, + 741757722, + 414228460, + 447374929, + 201826718, + 784478018, + 400820783, + -1, + 724668800, + 992670503, + 516582055, + 670024739, + 11225135, + -1, + 694207064, + 735155659, + 145482860, + 567039511, + 74112937, + -1, + 750932947, + -1, + -1, + -1, + 134671259, + 848284304, + -1, + 223444365, + 983298719, + 300123982, + -1, + 323662765, + 841286480, + 675518391, + -1, + 659964165, + 290563489, + 272677202, + -1, + 204975617, + -1, + -1, + 867090985, + 917048401, + 993154741, + -1, + 565695512, + 259908078, + 760646904, + 303959971, + 545285279, + -1, + 132833700, + 509202945, + -1, + -1, + -1, + 810372971, + 660484688, + 658952920, + 19581520, + -1, + -1, + 806407587, + 458556233, + -1, + 510577992, + 384935187, + 856877644, + 85750892, + 695438439, + -1, + -1, + 613242185, + -1, + 709407899, + 40518845, + -1, + 256146490, + 547763572, + -1, + 798127182, + 315318556, + 762423266, + -1, + 515280079, + -1, + -1, + 37586843, + 920264877, + 333067089, + 243932256, + 526594991, + 381610415, + -1, + 70242288, + -1, + 373643790, + 479790786, + 68378910, + 709704299, + -1, + 577391172, + -1, + -1, + 662133728, + -1, + 643399791, + 362317351, + 419161805, + -1, + -1, + 592161781, + 891334019, + 385123893, + -1, + 458124916, + 586899701, + 220677697, + 112747003, + 773444403, + -1, + -1, + -1, + 870223445, + 493754270, + 818485331, + 581694944, + 224021657, + 71427648, + 192433227, + 111960501, + 542571751, + 245403999, + 213415333, + 666404738, + 694992085, + 673498215, + -1, + -1, + 775320347, + -1, + 561704331, + 45400836, + 624724340, + 498341341, + 552954156, + -1, + -1, + -1, + 440993931, + 180070696, + -1, + -1, + 860518950, + 944242403, + 320011965, + -1, + 129119606, + 272754297, + 204414954, + -1, + -1, + 62985162, + 36530945, + 480459111, + 573123283, + 189503951, + 238289348, + 966503812, + 621312039, + 833778841, + -1, + 245167961, + -1, + -1, + 105598127, + -1, + 846827920, + -1, + 996988327, + -1, + 115618079, + 370812611, + 218069994, + -1, + 317597893, + -1, + 503354514, + 87285460, + -1, + -1, + 920668561, + -1, + 881689890, + -1, + 238885031, + -1, + -1, + 442832451, + 477967979, + 733266759, + -1, + 915128749, + 989738551, + 209542136, + 753115426, + 740353371, + -1, + -1, + -1, + 611612430, + -1, + 785833533, + -1, + -1, + 385839068, + 69650176, + 784088564, + 748542500, + -1, + 386252272, + 955522789, + 507013684, + -1, + 593213593, + 905256168, + 272716930, + 515374630, + 198763422, + 921521592, + 996847154, + -1, + 449775792, + -1, + 869885445, + -1, + -1, + 427878549, + 15345470, + -1, + 656204069, + 451842458, + 697313716, + 41296689, + 706601230, + 480921486, + -1, + 852091550, + 464959963, + 512104857, + 747311844, + 407831554, + -1, + 831329166, + 663094266, + 943265910, + 550100023, + 803962152, + -1, + -1, + 970283582, + 624348656, + 476454419, + 37969382, + 27731166, + 685242378, + -1, + 791897381, + 275364002, + 773396361, + 782065889, + 522786262, + 118751444, + 868714340, + 504714554, + -1, + -1, + 584620250, + 758763435, + -1, + -1, + 858115535, + -1, + 735649228, + 333943809, + 811642251, + 371939288, + -1, + -1, + 281564084, + -1, + 626673290, + -1, + -1, + -1, + -1, + 907116888, + -1, + -1, + 255015218, + -1, + 726957018, + -1, + 817833177, + -1, + 414871791, + 655354902, + -1, + -1, + 534430597, + 990609921, + 597598129, + -1, + 563104204, + 918748869, + -1, + 195923814, + 408757006, + 148077879, + -1, + 410375531, + 417938164, + 530864403, + -1, + 616744805, + -1, + 979460726, + 821530643, + 773844023, + -1, + 438774942, + 924041103, + -1, + 846130619, + -1, + 324396628, + 417663181, + -1, + -1, + 611436321, + 425763500, + 516951984, + 368383954, + 602806119, + 255663244, + 902992450, + 840797806, + 558694183, + -1, + 948420826, + -1, + 308317778, + 566439660, + 135940225, + 696264867, + 948776160, + 695048963, + 643290287, + 629632627, + 922543832, + 506162107, + 756182359, + -1, + -1, + 476132609, + 346106363, + 478765317, + -1, + 527749909, + 227855995, + -1, + 447000732, + 138618816, + -1, + 670532177, + -1, + 201685847, + -1, + 888937990, + 770819399, + 220867920, + -1, + -1, + -1, + 800073629, + 821981429, + 429809322, + -1, + -1, + 794448862, + -1, + 389169857, + -1, + 927541518, + 750401995, + -1, + 621258935, + 227479032, + -1, + -1, + -1, + 216756893, + 587057541, + -1, + 33791331, + 954887246, + 527441347, + 408270629, + -1, + 43329811, + 71516385, + 43417340, + 508821370, + 769702378, + 537612630, + 821782430, + 961808217, + 228638850, + 814367799, + 3921645, + 962870398, + 590724929, + 521084292, + 58769379, + 436793534, + 123317013, + -1, + 37458054, + -1, + 361495486, + 895465263, + -1, + 642899725, + 969569454, + -1, + -1, + 937953741, + 757148889, + -1, + -1, + 661813451, + -1, + 664174555, + -1, + 761428599, + -1, + 678913004, + 411462653, + 536061274, + 706952662, + -1, + 968859930, + 490986278, + 480695081, + -1, + 749613989, + -1, + 39172380, + -1, + -1, + 24460823, + -1, + 825991735, + 591278547, + 54696267, + -1, + -1, + 55608572, + 41717373, + 27923614, + 15945804, + 750067385, + -1, + -1, + 583447407, + -1, + 677885798, + 101543361, + 249887477, + -1, + 419022277, + 307923978, + 632237845, + 671550223, + 99366676, + 306980248, + 527686734, + 19335808, + -1, + 12463919, + 570805757, + 617071069, + 828107461, + -1, + 624810226, + -1, + -1, + 141195779, + 261607354, + 768103629, + -1, + -1, + 612326591, + 726790167, + -1, + 910220688, + 739407232, + 912242435, + -1, + 260594735, + 935058320, + -1, + -1, + 443572727, + 905431411, + -1, + -1, + 172181967, + -1, + 393710222, + -1, + 270521835, + 710753182, + 420412572, + -1, + -1, + 660712855, + 415450249, + 83437367, + 165505502, + 935581541, + 101456290, + 467427191, + 903914297, + 848100957, + -1, + -1, + -1, + 135281298, + -1, + -1, + -1, + -1, + 340222190, + 582063445, + 561399722, + 484917849, + -1, + -1, + 598602916, + 90834551, + 419066600, + -1, + 729124951, + -1, + 539539667, + 822053513, + 578539463, + 807563648, + 421974855, + -1, + -1, + -1, + 973733233, + 670497797, + 76745577, + 891994450, + 96601512, + 295278530, + 571435510, + 320859410, + -1, + -1, + 810468106, + -1, + -1, + 521626986, + 75829645, + -1, + -1, + -1, + 190234590, + 969509171, + 928350064, + 651394066, + 212723676, + 717929453, + 755659774, + 109187776, + -1, + 834155855, + 70703156, + 981872211, + 130189746, + 82292503, + 993037008, + 977364862, + 674027952, + -1, + 989707030, + -1, + 782159449, + 246866367, + 18817634, + -1, + 926538427, + 365838679, + 809645196, + 354475687, + 393091457, + 376369738, + -1, + 539240477, + 160146517, + -1, + 4638169, + -1, + -1, + 263247487, + 53794550, + -1, + 124244394, + -1, + 455256729, + 223399022, + 262288227, + -1, + -1, + 769336543, + 23000395, + -1, + 720404245, + 606833109, + 336581314, + 452226679, + 68896963, + 192634651, + 844105011, + 537804444, + -1, + 33734, + 757848086, + 851759441, + 666635696, + -1, + 804920538, + 815464796, + 841563014, + 119646476, + 391061871, + -1, + -1, + 400001151, + 438355995, + 474681503, + 51216521, + 749109629, + -1, + -1, + 550860072, + -1, + 467831003, + 185892491, + 298070065, + 707996851, + 4371199, + 262319603, + -1, + 665846139, + -1, + -1, + 232048974, + -1, + -1, + -1, + -1, + 367598207, + -1, + -1, + -1, + 928399261, + 39304494, + 725021358, + 729145425, + 67455279, + 592078409, + 699713954, + 384442244, + -1, + 409022315, + 729275949, + 139901605, + -1, + -1, + 733598626, + 435211853, + -1, + -1, + -1, + 171637473, + 574141681, + -1, + 465820913, + 254324178, + 259793078, + 445693895, + -1, + 191139337, + -1, + 660638, + -1, + -1, + 410883784, + 218352243, + -1, + 17580625, + -1, + -1, + 53077153, + -1, + 962673712, + 380935437, + -1, + -1, + 539262616, + 961390778, + 116777432, + -1, + -1, + 415912324, + -1, + 688848286, + -1, + 105863566, + 43233156, + 336437772, + 604616658, + -1, + 55941867, + 706043775, + 724527547, + 640005515, + 62297309, + 53434344, + 580893330, + -1, + -1, + -1, + 235402186, + 790810792, + 577967373, + 164055973, + 33073425, + 736154886, + 542447600, + 90319527, + 14178915, + 604332613, + -1, + 639315676, + 188525397, + 189924835, + 50325579, + -1, + 550207945, + -1, + 827382828, + -1, + -1, + 482912327, + 193142834, + -1, + 489375200, + 25513818, + 962632490, + 109679346, + 639673772, + -1, + -1, + -1, + 20526104, + -1, + -1, + 751014709, + 322169341, + 50392995, + -1, + 736974902, + 267306540, + 931661648, + 659314731, + 661150325, + -1, + 944729818, + 953623536, + 128609511, + 234760585, + 939895721, + -1, + -1, + 423966698, + 414751333, + -1, + -1, + 673905602, + -1, + 241949061, + -1, + 323019538, + -1, + -1, + -1, + 902134476, + -1, + -1, + -1, + 548069485, + -1, + 206515757, + 392468601, + 973441970, + -1, + 60604365, + -1, + -1, + 175370028, + 708722951, + -1, + 167419154, + 133911873, + -1, + 887964863, + 709899333, + 643760321, + -1, + 92296349, + 432027110, + 443443458, + 554508032, + -1, + 849064980, + 366729344, + 648612756, + 247165521, + 474444394, + 133492733, + 287375645, + 613075845, + 952406915, + 960082923, + 254899805, + 782008101, + 302278719, + 514541361, + 143857955, + 478014136, + 30216591, + 211299051, + 463961759, + -1, + 30300669, + 976550750, + 936792556, + 741836668, + 712558593, + -1, + 249897698, + 505000863, + 280857090, + 505177210, + 746885197, + 899860290, + 565343896, + 520732051, + -1, + 870280539, + -1, + -1, + 375645856, + 736450926, + 709920594, + 291522018, + -1, + 300730667, + 523997461, + 920648324, + -1, + -1, + 784227962, + 122931145, + 747196124, + -1, + 442558815, + 105303060, + -1, + 462369697, + 801209980, + -1, + -1, + 805415935, + -1, + 44550166, + 332142510, + 792478587, + -1, + 571930499, + -1, + -1, + 176688641, + -1, + -1, + 213495822, + 828890255, + -1, + -1, + 90053283, + 31400906, + -1, + 249413699, + 389946861, + -1, + -1, + -1, + 693610177, + 687870480, + 802551037, + 645711379, + -1, + 358313151, + -1, + 299053180, + 533065328, + 427584517, + -1, + 394848706, + 520803378, + 99354364, + 42794176, + -1, + 228969023, + -1, + -1, + 696286313, + 284070257, + 135204495, + 151820918, + 377484219, + 159672566, + 503552979, + 203741988, + 142057820, + 657834111, + 912161783, + -1, + -1, + 53086285, + 634052405, + 830348042, + 888398426, + 341269928, + 911085168, + 561578075, + 250258875, + -1, + 268755907, + 445798245, + 683950820, + 982964794, + 640890591, + -1, + -1, + -1, + 592755648, + -1, + 222661747, + 720131138, + 761480044, + -1, + -1, + 697743681, + -1, + 735279987, + 461944749, + 439860489, + -1, + 547536514, + -1, + 432871470, + 747804640, + -1, + 308803039, + 759777066, + -1, + 898968679, + -1, + 812044150, + -1, + 419179059, + 824418221, + 445869219, + -1, + 760465322, + -1, + 968723398, + 47973805, + -1, + 195795313, + 788778536, + 466435048, + 175931905, + -1, + 718591822, + -1, + 253900190, + 60008968, + -1, + 377950400, + 758827313, + 219362304, + 148242680, + 929986974, + -1, + 492146991, + 71934999, + 533921789, + 561210901, + -1, + 822896938, + -1, + 803361963, + 230207534, + 918487908, + 405577322, + 345437932, + -1, + -1, + 721475560, + 497118389, + 706700290, + -1, + 641573250, + 872549890, + 344825209, + -1, + 404721728, + 154090248, + 2602214, + 489139590, + -1, + -1, + 842737183, + -1, + -1, + 579525483, + 618716858, + 94502013, + 630602208, + 747055671, + 831284705, + 640001345, + -1, + 931375674, + 533572707, + 612255449, + 381452006, + 334683056, + -1, + -1, + 460599329, + 817172545, + 369101297, + 360493102, + -1, + 314978576, + 310718307, + 708119639, + -1, + 887114341, + 723877703, + 472623430, + 418573500, + 17585707, + 938639799, + 730769132, + 78546943, + 352195075, + -1, + 71315151, + -1, + 360152659, + -1, + 962816137, + 64068469, + 251159031, + 243267785, + 277686633, + 88281516, + 108759838, + 312192325, + 695574819, + -1, + 250112795, + 607997142, + 838503147, + -1, + 436693361, + 668846223, + 979613063, + 226084393, + 485275777, + 792928990, + 63364493, + 118915104, + 627218454, + 534878642, + -1, + 841470718, + 31790443, + 943642976, + -1, + 577058412, + 384761408, + 196419001, + 769137158, + 478677057, + 660942817, + -1, + 695125556, + 270391264, + -1, + 359405458, + 966182183, + 981734167, + 637877968, + -1, + -1, + -1, + 919122327, + 820402411, + 788542194, + 70475895, + 946989809, + -1, + 763414181, + 58703837, + 275172145, + 7098402, + 760956008, + -1, + 966707150, + 829893396, + 931076044, + 17567800, + 526634772, + -1, + -1, + 606309152, + 165722666, + 87849793, + -1, + -1, + -1, + 478754905, + 253785760, + 576936068, + 228520161, + 283348285, + 840361598, + 384542905, + 527405207, + 547087425, + 742444608, + 757187452, + 882224691, + -1, + 355285891, + 883716233, + 186587213, + -1, + 640897217, + 136532109, + 350116943, + -1, + 200348068, + 657425053, + 815713799, + -1, + 64795414, + 623923804, + 710991585, + -1, + 836890212, + -1, + 365497006, + -1, + 964473062, + 927743808, + -1, + -1, + 894493048, + 944823520, + 853608695, + 865944507, + 4976082, + 302901943, + -1, + 84707009, + -1, + -1, + 55702804, + -1, + -1, + -1, + 642312173, + 526058562, + 270996282, + 732496923, + -1, + 595745784, + 127993324, + 846219725, + 774207797, + 741357081, + 293662453, + -1, + -1, + 774360506, + 994614237, + -1, + -1, + -1, + -1, + 39406164, + 253884174, + -1, + 523201796, + 681633066, + 281455996, + 83715738, + 690788658, + 844040405, + -1, + -1, + 123249664, + -1, + 941005596, + -1, + 961082211, + 21596811, + 715044723, + -1, + 658594828, + 159158442, + 239685396, + 209945766, + 387105971, + 937689876, + -1, + 655473896, + 972779050, + 118926528, + -1, + 739493798, + 399977835, + -1, + 733896625, + 439866580, + 478986617, + 611826169, + -1, + 996222443, + 573356051, + -1, + 63734122, + 407120429, + 304952418, + -1, + 948179964, + 521613905, + -1, + 901468899, + 202774042, + 841617274, + 907861331, + 571448819, + 816224947, + 827023514, + 357177665, + 389612332, + 803285177, + 917123956, + 15652291, + 388175425, + 880523191, + 280687889, + 262115995, + 968138388, + 841417212, + 903267366, + 20315144, + -1, + 577199149, + 412838646, + 745476841, + -1, + 622239825, + 411626887, + -1, + 918129713, + -1, + 695400219, + -1, + 199884515, + -1, + 652353565, + -1, + 34803761, + 436055341, + 546995780, + 283440283, + -1, + 598676093, + -1, + -1, + 643822524, + 209708203, + 39314983, + 147722182, + 620401272, + -1, + 673155467, + 670048372, + -1, + -1, + 540166040, + 611019452, + 472335244, + 24901811, + 765627252, + -1, + 838547433, + -1, + 103359452, + -1, + 918559822, + -1, + 871758021, + 32183306, + 891511828, + -1, + -1, + 668737465, + 465459108, + 100530983, + 113150683, + -1, + -1, + -1, + -1, + 601317311, + 299214554, + 677796481, + -1, + 112289536, + -1, + 146591682, + -1, + -1, + 393106304, + -1, + 599319490, + 53179525, + 256138269, + 142973519, + -1, + -1, + -1, + 250860118, + 60074870, + 363874330, + -1, + 534041291, + 335601107, + -1, + 1041331, + 208001112, + 303971373, + -1, + 698260069, + -1, + 18834096, + -1, + 369328873, + -1, + -1, + 88680940, + -1, + -1, + -1, + 242385914, + -1, + 820628839, + 584695228, + -1, + -1, + -1, + 993660158, + -1, + -1, + 614833569, + -1, + 495538404, + 851999240, + -1, + 863200429, + -1, + 164755833, + 843380230, + 843103235, + 633758745, + -1, + 775384776, + 528802743, + 392063078, + 395976576, + 539151163, + 161941564, + -1, + 32406422, + -1, + 514026234, + 523266217, + -1, + -1, + 736409644, + 939678978, + 58111744, + 938180525, + -1, + -1, + 563511288, + 442686742, + -1, + 839630320, + 321838594, + 661627979, + 59657202, + -1, + -1, + 980787531, + -1, + -1, + 72116327, + -1, + 528703046, + 938342312, + 930392760, + 827208329, + 759135397, + 178090413, + -1, + 774407942, + 474016897, + 340757358, + 973276724, + 305350757, + 826089682, + 652711508, + -1, + 11760936, + 396348771, + 845124877, + -1, + 324713113, + 954614192, + 758517716, + 806306919, + -1, + 723039894, + 638103631, + -1, + -1, + -1, + -1, + 311147784, + 879654180, + -1, + 813197594, + 428667986, + 647796036, + 955263324, + -1, + 651153450, + 525955326, + 33428828, + -1, + 870284307, + -1, + 587510152, + -1, + 936324005, + 538125187, + 433390992, + 492523180, + 952775225, + 242404229, + -1, + 888746847, + -1, + 617491446, + 494482505, + -1, + 79268684, + -1, + -1, + 77471557, + 372484809, + 826308568, + -1, + -1, + 915921137, + 121775713, + -1, + -1, + 739731867, + 132719529, + 34390544, + 893469934, + -1, + -1, + 663081083, + 741273946, + 584029436, + 250757615, + 746462501, + -1, + 709368080, + 382304614, + 767208928, + -1, + 456991781, + 57151782, + 525922773, + -1, + 510941939, + 163225506, + 437203900, + -1, + -1, + -1, + 596324710, + 740224642, + 354998156, + 120123307, + 43838386, + -1, + 568687720, + 189499527, + 167842323, + -1, + 754084118, + 568209637, + 583881231, + 138641498, + -1, + 903145950, + 701365608, + -1, + 961260756, + 68498233, + 848002147, + 25787920, + -1, + 417101643, + 593622560, + 553153648, + 162456589, + 456042132, + 78120019, + 66825472, + 908140785, + 229416686, + -1, + -1, + -1, + -1, + 866828876, + 326941657, + 288761141, + 128868051, + 773415707, + -1, + 885625170, + -1, + 800962012, + 366125876, + 186348989, + 598461086, + 949270539, + 267712278, + 197228201, + -1, + 110904339, + 133869459, + 589944015, + 697028861, + 428778085, + -1, + 121036095, + 489643344, + -1, + 353836344, + 67867052, + 129185066, + 35864711, + -1, + 489037230, + 507080373, + 194280051, + 636321099, + -1, + -1, + 861158008, + 603944961, + 143690191, + 423638440, + 209546713, + 370384580, + 644225257, + 261671555, + 479795789, + -1, + 948506058, + 824122377, + 293429006, + 306642076, + 620096322, + -1, + -1, + 814607824, + -1, + 340386573, + 434709786, + 375857931, + 400193702, + 886603318, + 296105953, + 236991649, + -1, + 19294886, + 625364859, + 158039195, + 835423552, + -1, + 32394048, + 946165086, + 1852653, + 172372718, + 298281867, + 541688192, + 701535153, + 647347137, + 148582205, + -1, + 208935144, + 117865804, + 642951032, + 436453999, + -1, + -1, + 570989630, + 716661140, + 515585207, + 715592622, + -1, + -1, + 527361402, + 105660176, + 563273577, + -1, + 803165379, + -1, + -1, + 436565076, + -1, + -1, + 634146273, + 178555728, + 517069629, + 998630710, + 760059425, + 665702436, + 115724809, + 51341786, + 324091335, + 274120527, + -1, + 106897356, + 318972946, + -1, + 329149017, + 863929320, + 613201611, + -1, + 266126635, + 699598115, + -1, + 643910472, + -1, + 721609671, + 661553526, + -1, + 20714926, + 139272388, + -1, + -1, + 225885961, + 565215154, + 234660634, + -1, + 714399449, + -1, + -1, + -1, + -1, + 377920879, + 434317283, + 13998894, + 282717962, + 890448918, + -1, + 314285233, + 200508803, + -1, + 775677109, + -1, + 230293642, + 250862732, + 121532380, + 174863551, + -1, + 541426606, + 828336734, + 624163888, + 492426689, + 831133118, + 844491147, + 412150820, + 548340769, + 855963288, + -1, + -1, + -1, + 234278246, + 894988896, + -1, + 501921697, + 800298515, + -1, + -1, + -1, + 453223618, + 919457669, + 53633091, + 158274989, + -1, + -1, + 755999636, + 399214750, + 155057871, + 381324272, + 400064288, + 326812709, + 843402622, + 588087907, + 631728878, + -1, + -1, + -1, + -1, + 366650591, + -1, + 206006338, + 766540687, + 353641776, + 76429337, + -1, + 336218510, + 658534974, + 539741052, + -1, + 612010013, + 149158610, + -1, + 601975074, + 93160208, + 262978035, + -1, + 459763833, + 534562127, + 453206056, + 374545185, + 983950188, + -1, + 297227262, + 577852816, + 644910651, + 43025231, + -1, + 933585375, + 549373745, + -1, + -1, + 20240016, + 390962740, + 563527505, + 918367905, + 56174110, + 599355570, + 829349901, + 540349350, + -1, + -1, + -1, + 340100517, + -1, + 223305471, + 857820880, + -1, + 841321383, + 543252798, + 951724466, + -1, + -1, + -1, + 7274041, + -1, + 589721448, + -1, + 951595695, + 477323546, + -1, + -1, + 913457297, + 657516453, + -1, + 680306204, + 151585305, + 368818333, + 202533078, + -1, + 13646530, + 153047701, + 489297209, + 180072178, + 61613336, + 97808943, + 610191473, + 583039015, + 922496353, + 126276408, + 567196640, + 509137930, + -1, + 291235566, + 824299493, + -1, + 311601625, + 186383099, + 506405728, + 311338284, + 902240688, + 110369591, + 886790038, + -1, + -1, + 511268019, + -1, + 338473637, + -1, + -1, + 346932048, + 287526752, + 658814425, + 895598917, + -1, + -1, + -1, + -1, + 734833129, + -1, + -1, + -1, + 836291352, + 773776928, + 282412955, + -1, + 942445360, + 782458380, + 846050946, + -1, + 889092370, + -1, + -1, + 981139917, + 604249450, + 391189982, + 919162180, + 407351097, + 547402757, + -1, + -1, + 500751977, + -1, + 920403241, + 535229848, + 427328135, + 919315202, + 236074653, + 704779769, + 545652992, + -1, + 589868788, + 561799458, + -1, + 832353360, + 819080473, + 40014657, + -1, + -1, + -1, + -1, + 447572407, + 343002027, + 709108129, + -1, + -1, + 697382939, + 374976789, + 822101882, + 938918492, + 117780896, + 602085540, + 554593419, + 785839303, + 922903302, + 484097333, + 426881155, + 428326741, + 1390605, + -1, + 26345441, + -1, + 738333752, + 420971242, + 739198439, + 229963240, + -1, + 842015242, + 149567250, + 573272738, + -1, + -1, + -1, + 31007241, + 399380343, + -1, + 389390085, + -1, + 362538255, + 126145837, + -1, + -1, + 390119799, + -1, + -1, + 369694727, + 829932193, + -1, + -1, + 769082592, + 259734910, + 624896186, + -1, + 477432173, + -1, + 601741421, + -1, + 294217813, + 926424997, + -1, + 462338311, + 405398694, + 899440405, + 489874139, + 789391062, + 366749836, + 328503637, + 220698202, + 462189687, + 417103196, + -1, + 714416491, + -1, + -1, + 979904994, + 536041708, + 287873800, + 252755070, + 857793023, + 550305222, + -1, + -1, + -1, + -1, + 885052886, + -1, + 128378969, + 979297565, + 538318938, + 329754937, + -1, + 686304974, + 637859532, + 862447867, + 168715021, + 769144784, + -1, + 802998077, + -1, + 201583320, + 856996637, + -1, + 497153895, + 44465853, + 946138381, + 501336453, + -1, + 281954174, + 996210294, + 723482092, + -1, + 796175822, + -1, + -1, + -1, + 665615384, + 524927389, + 503572558, + 430506382, + 716636462, + 22295716, + -1, + 481108184, + -1, + 620127044, + -1, + 340548421, + 887154555, + 719724491, + 915814075, + 714001742, + 565342002, + 753559689, + -1, + 395340718, + 906886936, + 989974973, + -1, + 962662601, + 644268315, + -1, + 892899074, + -1, + -1, + 225952048, + -1, + -1, + -1, + -1, + 312075310, + -1, + -1, + 582004815, + -1, + -1, + 489453361, + -1, + -1, + -1, + -1, + 483859750, + 446477771, + 674325210, + 295215870, + 77466417, + 676607030, + 590842986, + 611205949, + 352683431, + 840857391, + -1, + 671046648, + -1, + 304194185, + 336421713, + -1, + 405449592, + 465072076, + -1, + 957083078, + 887597298, + 907996928, + -1, + 357932336, + -1, + 533477850, + 133376087, + -1, + 606607100, + 191596634, + 150587449, + 122068545, + -1, + 246342010, + -1, + 436868612, + -1, + -1, + -1, + 337770150, + 650068711, + 500814951, + 561381125, + 547767091, + 586217343, + 246416165, + 933271191, + 131523638, + -1, + -1, + 944159552, + 567897611, + -1, + 399035406, + -1, + -1, + 784614687, + 314980743, + 274373936, + 241736022, + 629108419, + 836150814, + -1, + 812696313, + 675888298, + 977968105, + 793804320, + 708989415, + 691035873, + 477511846, + 404814380, + 206623246, + -1, + 926343910, + 311546375, + 792680789, + -1, + -1, + -1, + 52490969, + 831800582, + 265491208, + 436807534, + 491322718, + -1, + -1, + -1, + 201147619, + 627118746, + 686022573, + -1, + -1, + 585020294, + 202969454, + 704642025, + 25739640, + 716821181, + 744122691, + -1, + 164267120, + 789264931, + -1, + -1, + 138070868, + 783479190, + -1, + -1, + 987689225, + 797084740, + 188343011, + 202486406, + 768362341, + -1, + 531369932, + 462142033, + 570434219, + 721197879, + -1, + 160118338, + -1, + 245319025, + -1, + -1, + 470129300, + 997822087, + 762337238, + 887763962, + 823285763, + 636198699, + -1, + 725082497, + 156668818, + 798762618, + 472231486, + 982025653, + 276823673, + 987895677, + 697069998, + 978645256, + 925806801, + 420541690, + 45730698, + -1, + 786266742, + 603217581, + 583504515, + -1, + 923139190, + 866192041, + 947127662, + 190666174, + 623390991, + 231047645, + 26574076, + -1, + 380693259, + -1, + 130553660, + 322546039, + 598651254, + 760302995, + 910043560, + -1, + 663797221, + 545961469, + 304304160, + 685084954, + -1, + 667003769, + -1, + 658536405, + 498980031, + 747777180, + 912960661, + -1, + 280238055, + -1, + -1, + -1, + 224041588, + 997010201, + 313518744, + -1, + -1, + 341153061, + -1, + -1, + 438802465, + 351164053, + -1, + 433767385, + -1, + 220843578, + -1, + -1, + -1, + 852277749, + -1, + 626025714, + 522772038, + -1, + 552846537, + -1, + 741189767, + 999198654, + -1, + 347282683, + -1, + 528763007, + 592697120, + 24280693, + -1, + 585508196, + 90026510, + 394859841, + 13701118, + 961931301, + 513660748, + 615162076, + -1, + 59469597, + 827373230, + 872161994, + -1, + -1, + -1, + 697498468, + -1, + 361024119, + 119282212, + 54193407, + 702317767, + 889683022, + -1, + 975934131, + 1233940, + 609216480, + -1, + -1, + 502602176, + -1, + 606854874, + 588797224, + 98169864, + 80561939, + 785190538, + -1, + 302805653, + 625583427, + 122688682, + 427590589, + 304010369, + 151760400, + -1, + 138382829, + -1, + 19402090, + 420216977, + 739616215, + 910887115, + -1, + 761598124, + 404501890, + 766882240, + 940879834, + 473495197, + 737333556, + 741818938, + -1, + -1, + -1, + -1, + 198963934, + -1, + -1, + 980449538, + -1, + 125720183, + 377099507, + 1801840, + 920826792, + 908920220, + 201698790, + 194237140, + 355444628, + 281279321, + 286724473, + 447744247, + 698115923, + 325337159, + 714374450, + -1, + 362338487, + 155694694, + 940504879, + 791888201, + 144960053, + 190143584, + 182423398, + 172313126, + 542874127, + 641861956, + 646162823, + 495650578, + 971631452, + -1, + -1, + 240870608, + 995238302, + 525183205, + 174289237, + -1, + 872217400, + 111823070, + 434376182, + 580006220, + 409115566, + 832116691, + 106765315, + 118006517, + 604579165, + 382138528, + 577285114, + 438850832, + 793891823, + -1, + 679857310, + 483745032, + -1, + 367331931, + -1, + 347050373, + 553634485, + 795941233, + 285009423, + 442753062, + -1, + 817893060, + 547520318, + 788100336, + 469900364, + 712188795, + 25553298, + 164364964, + -1, + 360973738, + 348685541, + 181739793, + 797314562, + 777786389, + -1, + 840010531, + 815426004, + 648362020, + 558800204, + 710285221, + 495568773, + 55266115, + 834182675, + -1, + 603152995, + -1, + 762171089, + 647803327, + 755989932, + 759737001, + 157187157, + 370862933, + 165474859, + 194797371, + -1, + 340665978, + 291152521, + 16564376, + -1, + 662277894, + 993389489, + 964492378, + 172963130, + -1, + 145743593, + 266068841, + 133171594, + -1, + 174797765, + 343802304, + -1, + 151038890, + 95378832, + -1, + 624683647, + -1, + 504204521, + 207653257, + 870629346, + 941216686, + -1, + 536307716, + -1, + 68994498, + 779907926, + 112542215, + -1, + -1, + 850616682, + 997807913, + 248692670, + 137776182, + -1, + 727424791, + 31747171, + 709743706, + 833513729, + -1, + 319716803, + 646602186, + -1, + 972790378, + -1, + 802740219, + 301464061, + 173198107, + -1, + 407114829, + -1, + 524853538, + 944156915, + 232111769, + 237624188, + -1, + 103782622, + 168231874, + 697360732, + 591183594, + 744423361, + -1, + 526142904, + 68793671, + 373981194, + 881863145, + 467842276, + 255996987, + -1, + 324641797, + -1, + 794059095, + -1, + -1, + -1, + 308719634, + 843888121, + 439261015, + 975645005, + 180024180, + 236703634, + 304350348, + 708528191, + -1, + 292129385, + 925800677, + 125151575, + 282798887, + 17225334, + 864583409, + 981455445, + 556787233, + 580581943, + 335295683, + 83855293, + 657325460, + 790072286, + -1, + -1, + -1, + 299344507, + 358410134, + 850251032, + 476566501, + -1, + 764704599, + 904617265, + -1, + -1, + 827741532, + 500714340, + -1, + 638960849, + 172896343, + 544240465, + 449713940, + 710232672, + -1, + 73911460, + 823665254, + -1, + 336936658, + 364401953, + 768114402, + 257918039, + 217206823, + -1, + -1, + 169788625, + 440777055, + -1, + -1, + 50529726, + 761962271, + 688678824, + -1, + 279986260, + 579899074, + 680886645, + -1, + -1, + 588593465, + 804697983, + -1, + 443012416, + -1, + 714007031, + 860910292, + -1, + 899968197, + 82987836, + 742451748, + 100324442, + -1, + 93588739, + 71486943, + -1, + 795569978, + 372633216, + 668759502, + -1, + 292649361, + 113742453, + 249872454, + 920882826, + -1, + 468613217, + 624271043, + 555476744, + 821637538, + -1, + 125276695, + 828976088, + 924190754, + 959426937, + 335339915, + 323506599, + -1, + 632442792, + 587504105, + -1, + 461017971, + 819677256, + 73664239, + -1, + 370334681, + 49357886, + -1, + 871775783, + 155235246, + 414318749, + 978215551, + 376409245, + 882283583, + 173137074, + 649859426, + 361450998, + -1, + 208598360, + 297197512, + 133677926, + -1, + 857204620, + 786316871, + -1, + 770391090, + -1, + 187296852, + 251943167, + 317954992, + 815897983, + 118842502, + 981997717, + 356646789, + 100506413, + 35669237, + 727727249, + 106185000, + 355909894, + -1, + 458896643, + 809489811, + 821586154, + 211401675, + 958018960, + 422299480, + 690807936, + 956603634, + -1, + 218932290, + -1, + -1, + 553807530, + 823566115, + -1, + -1, + 966792353, + 603819832, + -1, + -1, + 920847371, + -1, + -1, + 644456138, + 885214067, + 230259915, + 917104848, + 492198178, + 270107073, + -1, + 776323161, + 71505137, + 281912944, + 67821348, + 998517169, + 543035180, + 97628268, + -1, + 843913621, + -1, + -1, + 288654150, + -1, + 346266754, + 327801421, + 198312764, + 70407735, + -1, + 464026713, + 795402127, + 708942183, + 448077884, + 168749609, + 56333967, + 825124473, + 74446792, + 662207615, + 725221148, + 702879988, + 492127351, + 117116506, + 282187043, + 421839593, + 729632498, + 866040888, + 120126094, + 956581845, + 252606296, + 650231756, + 832948404, + 815113501, + -1, + -1, + -1, + 181662685, + 973428925, + -1, + 719740457, + -1, + -1, + -1, + 347869542, + 579304008, + -1, + 186034836, + 237857674, + 577415955, + 647172716, + 341610273, + 809183780, + -1, + 235286174, + 743227279, + -1, + 22601615, + 199766074, + 983439991, + -1, + -1, + 320206144, + 912449825, + 846510788, + -1, + 893941509, + 754340221, + 864457868, + -1, + 505950939, + 607760810, + 709978294, + 84510241, + 359951665, + 869458733, + 866507064, + 82419090, + 646001613, + 783684661, + -1, + -1, + 109886853, + 794815945, + 566238877, + -1, + -1, + 960217063, + 306057444, + 405461261, + 743587136, + -1, + 115719967, + 257739100, + -1, + -1, + 938800060, + 714960835, + -1, + -1, + -1, + 658969461, + -1, + -1, + -1, + 396369995, + 18307417, + -1, + 41476946, + 320088888, + 821100829, + 108722986, + 305624593, + 573671820, + 737866500, + 919290686, + 658241127, + 887255791, + 489664855, + 67562882, + 267641837, + 837177249, + -1, + -1, + 828050902, + 854204415, + -1, + -1, + 999606501, + -1, + -1, + 138369171, + 745650902, + 632591192, + 560865542, + 570889733, + 872686614, + 614694200, + 209020112, + 42320698, + -1, + 323992332, + 592042611, + 444525017, + -1, + 80981348, + -1, + 892685780, + 821211071, + 56159299, + 830230641, + 692687382, + 796144773, + -1, + -1, + 694832285, + -1, + 677550848, + 49995335, + -1, + 988760729, + 421166870, + -1, + 801557897, + -1, + -1, + 757434878, + 213849016, + 446178071, + -1, + -1, + -1, + 347252115, + -1, + 182799438, + 755642113, + 13087860, + 751938237, + -1, + 743980151, + -1, + 371330475, + 527406934, + 827105206, + -1, + 734972680, + 514777073, + 237090673, + -1, + 764367870, + 271067808, + 487956699, + 572806605, + 73059210, + 159609834, + 921805397, + 316527075, + -1, + 533380591, + 580273401, + 814940711, + -1, + 28998744, + -1, + 420309079, + -1, + -1, + 657185929, + 938713211, + -1, + 479631622, + -1, + -1, + 216368398, + 833161304, + 371419663, + 749746460, + 856583278, + 439554793, + -1, + -1, + 669522318, + -1, + 276650919, + 390444165, + -1, + 414158899, + 517216202, + 10437019, + 964971685, + 321730327, + 382197132, + 878537017, + 643269962, + 342838557, + 584676026, + -1, + 926083487, + -1, + 570173601, + 562594221, + -1, + 956082000, + 519135678, + -1, + -1, + 834747104, + 217532483, + -1, + 153265692, + 517277996, + 410157398, + 895098333, + 207012750, + -1, + -1, + 295179739, + -1, + -1, + 70876103, + 703939530, + -1, + 984548348, + 439140377, + -1, + -1, + 854876998, + 458137941, + 2337747, + -1, + 205869423, + -1, + 129100565, + -1, + -1, + 897025365, + 313228152, + -1, + 858637158, + 260177168, + 673930746, + 907296271, + 635252324, + 156701796, + 950468661, + -1, + 883062488, + 199845338, + 212941171, + 318413599, + 510343548, + 298700003, + 698289558, + 993222540, + 77859119, + -1, + 552283498, + -1, + 441363197, + 477163736, + 251363202, + 712816986, + -1, + 503282481, + -1, + 828290980, + 587022974, + 367459963, + 228301265, + 316134031, + -1, + -1, + 470941502, + 166433728, + 790054141, + 227797768, + 779136426, + 553443917, + -1, + 230631918, + 760460542, + 459850132, + -1, + 658141369, + 581029365, + -1, + 782842648, + 478706781, + 484759328, + 837967933, + 252875774, + 825499581, + -1, + 90783011, + 819590472, + 832084647, + -1, + 856393989, + 864711590, + 79664128, + -1, + -1, + 852797602, + 567750103, + -1, + 49341226, + 710212986, + 865971431, + 448882944, + 511291268, + 233097646, + 995431747, + 807890823, + 201647214, + 793892987, + 529133597, + 843971894, + -1, + 657519308, + 141474232, + -1, + 88352205, + 838326370, + -1, + 487189564, + 59810648, + 223203667, + 370407872, + 419965113, + 114233038, + -1, + 28884711, + 504969469, + 637407889, + -1, + 810190726, + -1, + 781942623, + -1, + 791128799, + 972838881, + -1, + -1, + 156703116, + 44913464, + 875325940, + -1, + -1, + 352482269, + -1, + 606439685, + 311710497, + -1, + 52597514, + -1, + 373819176, + 914749621, + 409965037, + -1, + -1, + -1, + 730432051, + -1, + 383262137, + -1, + -1, + -1, + 216380932, + 783330417, + 761584220, + 973841334, + 578266257, + -1, + -1, + 478461341, + 830871056, + 741859468, + 35676689, + -1, + 313328622, + 873779310, + 444830615, + 535144757, + 560380106, + 260894399, + 445290453, + 15095032, + 902950266, + 979229112, + 731172028, + 871554748, + 851994592, + 632423608, + 293837204, + 821189087, + 65301411, + 680150121, + 103241018, + -1, + -1, + 287990942, + 324615891, + 105937885, + 405129633, + -1, + 61022239, + -1, + 642030007, + -1, + 252690661, + 830329826, + 747951989, + -1, + 167449983, + 670196420, + 422891297, + 377615905, + 708340203, + 277354199, + 369021675, + -1, + 826645665, + 80321236, + 32307516, + 541227501, + 423913925, + -1, + -1, + 294753996, + -1, + -1, + 814145602, + 194375688, + 925604124, + 895172254, + 408041088, + 661618315, + 340755428, + 135777548, + 148898629, + 226651734, + -1, + 758751213, + -1, + 592588409, + 600237290, + -1, + 744828618, + 860517200, + -1, + 966968463, + 974842199, + 852405670, + 235002318, + 548909882, + 231094271, + -1, + -1, + 276693034, + 1800988, + 812972274, + -1, + 589340454, + 257741632, + -1, + -1, + 141986597, + 412903744, + 653178488, + -1, + -1, + 730180568, + 981958583, + 674278074, + 892830698, + 689056064, + -1, + 504686185, + 553395272, + 8318007, + -1, + 918810295, + -1, + 937755205, + 944811860, + 224556832, + -1, + 464479686, + -1, + -1, + 241943808, + 754417802, + -1, + -1, + -1, + 703839347, + 165957347, + 766618604, + 850552813, + 661811656, + 466983707, + -1, + 556197358, + -1, + -1, + -1, + 262724766, + 407944308, + 481229495, + 568860816, + 80385503, + 694667052, + 7035780, + 873129722, + -1, + 315972614, + 297689201, + -1, + -1, + 386751183, + 643764822, + 84395013, + -1, + -1, + 303824007, + 254232351, + 846120708, + 856713122, + 118896074, + 245513996, + 470976394, + 777489534, + -1, + 249814642, + 791976549, + -1, + 860381609, + 16326696, + 337398505, + -1, + 986453942, + 637682863, + -1, + 502179815, + 902711800, + 271155798, + 577771225, + -1, + 995312236, + 602156486, + -1, + 361932379, + -1, + 650565620, + 699075552, + 439054182, + -1, + -1, + 316228884, + 248954528, + 204694521, + -1, + 169409593, + -1, + 124551154, + 496784234, + 4940457, + 305893934, + -1, + 516550419, + 143096548, + 572443023, + 889149118, + 313523355, + 749962726, + 26813609, + 517974743, + 335501481, + 885297545, + -1, + 454602766, + 954572213, + -1, + 819710009, + -1, + 344467922, + 321714045, + 348652569, + 795007535, + -1, + -1, + 444043072, + 203214874, + 328700294, + 589601410, + 695674854, + -1, + 3935053, + -1, + -1, + 972004645, + 714399540, + 941847255, + -1, + 703930040, + 83380369, + -1, + 612509126, + 61052743, + 888507177, + 919638308, + 695198214, + 242208224, + 312614701, + 368004532, + 969379271, + 344742428, + 219417077, + 348657627, + 752069994, + -1, + 411512692, + -1, + 629241513, + -1, + -1, + 699117081, + -1, + 922700556, + -1, + 176470197, + 442152436, + -1, + 569641020, + 931831502, + -1, + 271234362, + -1, + 647861756, + 55556224, + -1, + 400451492, + 37170369, + 980280671, + 993149718, + -1, + 299492003, + 350261006, + 585569282, + 24351588, + 366118104, + 549059783, + 155866104, + 166498422, + 656682103, + -1, + 264957170, + 156811185, + -1, + 243777829, + -1, + -1, + 83773649, + 802450692, + 581758905, + 177371393, + 589416028, + -1, + 726051859, + 394734188, + 66345094, + 225267473, + -1, + 371885198, + 905872869, + 998698233, + -1, + 165168015, + 397410418, + 871406061, + 483267342, + 249927610, + 978382094, + 724496502, + -1, + 868142604, + -1, + 658095790, + 693792109, + 752783271, + -1, + 473635273, + 5112488, + 51570302, + 130225169, + 958158379, + -1, + -1, + 539960239, + 406220204, + -1, + 144730463, + 333127123, + -1, + 721649403, + -1, + 909509522, + 727099058, + 491740050, + -1, + 547408015, + 948889775, + 120103465, + -1, + 604259899, + 726556824, + 856209159, + 722811877, + 42124266, + 5933756, + 266421744, + 614196794, + -1, + 857940285, + 989185062, + -1, + -1, + 762328613, + 597147961, + 657656223, + -1, + 514396443, + 530348110, + -1, + 229385534, + -1, + 845676651, + 237075357, + -1, + -1, + 130597196, + -1, + 766821279, + 315272279, + -1, + 646739637, + -1, + 12590195, + 807741600, + 430793584, + 297111360, + 175745403, + 378922584, + 93846906, + -1, + -1, + -1, + -1, + -1, + -1, + 321401932, + -1, + 116886596, + 182648757, + -1, + 620360329, + 104544314, + 575155245, + 358467794, + 577297413, + 557758788, + 573960630, + -1, + 154785947, + 887880497, + 65514659, + 87956824, + 121209950, + 621933161, + 578050748, + 96696626, + -1, + 477330510, + 903368812, + 186781357, + 330820086, + 79403120, + 509236178, + 146104140, + 67202297, + 89358441, + -1, + 458902074, + 115851204, + 644892318, + 601360958, + 168469391, + 286890162, + 81512212, + -1, + 205962941, + -1, + 100704805, + 401172238, + 531536094, + -1, + 994309572, + 427397088, + 965252558, + 564319015, + 85820483, + -1, + 452792753, + 881513881, + 769088307, + -1, + 525851242, + -1, + 47620290, + 33469329, + -1, + 147199818, + -1, + 162289431, + 880961156, + 103363838, + -1, + 911845314, + 157373388, + 995663859, + -1, + 687028001, + 793767916, + 721334174, + -1, + -1, + -1, + 62962544, + -1, + 674455621, + 578392770, + -1, + 682565904, + -1, + 760882227, + 34370185, + 970579873, + 344759964, + 422882388, + -1, + 903940080, + 881265067, + -1, + 433877672, + 982675005, + 757073145, + -1, + 682390924, + -1, + 675412748, + 640787418, + 942427481, + 560325251, + -1, + 510186969, + -1, + 807602398, + -1, + 516721813, + 359864676, + 262962799, + 878982493, + 177762723, + 117388418, + -1, + 330283914, + 216184276, + -1, + 248223459, + 158035844, + -1, + 296369991, + -1, + -1, + -1, + -1, + 795617805, + 873818899, + 964662679, + -1, + -1, + 371026580, + 828754689, + 567565254, + 87906163, + 656669343, + -1, + 225466329, + 948121787, + 907224687, + 471648184, + -1, + 449871535, + 638454744, + 180973142, + 929886387, + -1, + -1, + -1, + 365646194, + 836166212, + -1, + 490012185, + 661942719, + 446818118, + 20107922, + 920723648, + 743546898, + -1, + 978311875, + -1, + 701550946, + 621144350, + 958728328, + 740134257, + -1, + 737713153, + -1, + 762547044, + -1, + 925899069, + 779518942, + 786741352, + 94344395, + -1, + 741901355, + 891034031, + 706045658, + -1, + 421364384, + -1, + -1, + -1, + 607143085, + -1, + 122939101, + -1, + 401492778, + -1, + -1, + 98039488, + -1, + 976095990, + 260648926, + -1, + -1, + 399084541, + -1, + -1, + 383561510, + -1, + 979652211, + 107274245, + 1931958, + 223367867, + 127140759, + 572434187, + -1, + -1, + 868836089, + -1, + 75352553, + 223471108, + 122353655, + 813453274, + 257088413, + 608209868, + 90978531, + 906171774, + 42574462, + 847063076, + 300453223, + 975290637, + -1, + 398232673, + 999403894, + -1, + 682802703, + 719273798, + 809746514, + 128410136, + -1, + 828141589, + 848746428, + 325139225, + 864592937, + 184044542, + -1, + -1, + 518745530, + 457253840, + 410843376, + 475834212, + 608076674, + 825775150, + 715865005, + 218883917, + 162829977, + -1, + 66847372, + 630572933, + 273009504, + 540307652, + 570585664, + -1, + -1, + 812634952, + 180398181, + -1, + -1, + -1, + -1, + 111247465, + 988487862, + 124928519, + 191353156, + -1, + 266667948, + 515144015, + 263914109, + 769824439, + 195366451, + 317418629, + 34189612, + 85499412, + 345460517, + 120390838, + 883281404, + 34541923, + -1, + 975489239, + 218816280, + 350043215, + 678956146, + -1, + -1, + -1, + 430893297, + -1, + -1, + 240559532, + -1, + -1, + 180647455, + -1, + -1, + -1, + 132749754, + 842511766, + -1, + 460955033, + -1, + 3026093, + 762832997, + 368645749, + 648992765, + -1, + -1, + 631747887, + 32986074, + 699781070, + 677422330, + 636421929, + 885761484, + 139920179, + 274983942, + 9735866, + 517106772, + 14614864, + -1, + 298049221, + -1, + -1, + 973726690, + -1, + -1, + -1, + 197864910, + 171594201, + 587952752, + 567656797, + 518308661, + 114070572, + 706021232, + 14629726, + 729058771, + -1, + 873794193, + 862171130, + 402065008, + 697976221, + 689783540, + 426797006, + -1, + 56215630, + 505971281, + -1, + 606377215, + 720622510, + -1, + 506810866, + 188471793, + 914149153, + 201036975, + -1, + -1, + -1, + 430799796, + -1, + 662528464, + 244360918, + 160202014, + 144512576, + 139493760, + 633588839, + 861068793, + -1, + 596126161, + -1, + -1, + -1, + 371454220, + 158727496, + 605303492, + -1, + -1, + 186641760, + 818566411, + 206661706, + 564517320, + 942934509, + 416831363, + -1, + 930455810, + 752748924, + 495868175, + 831288700, + 118683597, + -1, + 458755820, + 579149289, + 591470318, + 108814083, + 269429598, + 436491213, + -1, + 338419632, + 905493623, + 309115340, + 998453306, + 757949340, + -1, + -1, + -1, + 59460889, + -1, + 3866663, + 6077173, + 38986848, + 546648585, + 173644497, + 984625106, + -1, + -1, + -1, + 712228022, + -1, + 93901246, + 884785066, + 734084248, + 810331186, + 119187389, + -1, + -1, + -1, + -1, + 555471356, + 159069446, + -1, + 196285771, + -1, + -1, + 211242675, + 571967754, + -1, + 446334194, + 51541123, + 422255823, + 950808022, + 642957922, + -1, + 797031243, + 274337402, + 212008150, + 82008107, + 219538465, + -1, + -1, + 86400482, + 833223466, + 493206488, + 992553890, + 491582353, + -1, + -1, + 501848005, + 570947894, + 305134416, + 435426545, + -1, + 409832374, + 430274485, + 909259163, + 644569647, + 526799620, + 931984503, + 721328913, + 326575551, + 408618015, + -1, + 370674222, + 656575078, + 626740193, + -1, + 716731907, + 339706105, + -1, + 983361313, + 259290170, + 835259587, + -1, + 352547232, + 944895212, + -1, + 815967363, + 837427512, + -1, + 690775385, + 199986128, + -1, + 434924193, + 81819704, + -1, + 731286420, + 523829975, + 903483336, + 775514467, + -1, + 235159491, + 187477954, + -1, + 821352724, + -1, + 848483236, + -1, + 307342497, + 52962484, + 43417610, + 664299559, + 303672241, + -1, + 21564789, + -1, + -1, + 656252159, + -1, + 431308237, + 97102195, + -1, + 440684911, + 465124242, + 480775765, + -1, + 239440549, + -1, + -1, + 430870693, + -1, + 903935652, + 670944893, + 92038939, + 823800546, + 695295605, + 754399599, + -1, + 541303178, + 99551569, + 312751829, + 922414585, + 101708053, + 623509591, + 208819103, + 499403410, + -1, + 940824038, + -1, + 156863541, + 85948727, + 515361533, + 425210137, + 941795209, + 725807847, + 316185885, + 359034295, + 614374160, + -1, + -1, + -1, + 15311562, + 511282710, + -1, + 814846558, + 652256914, + 769530009, + 918143642, + -1, + 515520978, + 773827830, + 373515010, + -1, + 355530712, + -1, + -1, + 655055823, + 150632474, + -1, + 434062869, + -1, + 736641960, + 396289091, + 156214467, + 294574864, + -1, + -1, + 200455874, + 39808215, + -1, + 994236881, + 973912812, + -1, + 760431746, + -1, + 118859125, + 578543660, + -1, + -1, + 623647682, + 410806552, + -1, + -1, + 408819146, + -1, + 431510829, + 480338508, + 31537953, + -1, + 782085225, + 447252921, + 854623778, + 381596416, + 811324389, + -1, + 605825616, + -1, + -1, + 347685581, + 236146237, + 308274099, + 948890051, + -1, + -1, + -1, + -1, + -1, + 880423687, + 462048701, + 673374275, + 574961687, + 808312884, + 383324274, + -1, + -1, + -1, + 381133275, + 1026683, + 732196905, + 84227439, + 523606139, + -1, + 129170190, + -1, + 729931242, + 270304408, + 551903488, + 200199611, + -1, + 957172995, + -1, + 329863749, + -1, + 37878491, + -1, + 144388618, + 175080569, + 507068819, + 587265629, + 60625496, + 716347363, + 413967239, + 784723070, + -1, + 47149896, + 615283009, + 242467823, + -1, + -1, + -1, + 766882579, + 1026669, + -1, + 384282615, + -1, + -1, + 952823651, + 735138631, + 788232258, + 437363427, + 746303002, + 365804294, + 551674424, + 817786084, + -1, + 608520412, + 987025050, + 346097802, + 506466323, + 308809759, + -1, + 220747965, + -1, + 191195769, + 512950572, + 110764610, + 298619855, + 871805700, + 565617981, + -1, + 479609796, + 50789084, + 62775212, + 135269350, + -1, + 796874822, + 820858034, + 850640629, + 58591453, + -1, + -1, + 112991064, + 107044786, + -1, + 124414286, + 873958409, + 878439592, + 577808669, + 143017873, + 211468326, + -1, + -1, + 489304245, + 754998439, + -1, + 317598856, + 173112486, + 846486400, + 795115044, + 622576849, + 82895252, + -1, + 888636442, + 285420707, + 33574404, + -1, + 293315054, + -1, + 289752655, + 73708006, + 567961880, + 133057002, + 512294301, + 630236947, + 929303930, + 13268932, + -1, + 252905657, + 192710852, + 593441644, + 640847976, + -1, + 963489067, + 999257331, + -1, + 930460528, + 651214205, + 305660900, + -1, + 36550806, + 767593751, + -1, + 919210624, + -1, + 8258455, + 817531810, + 970262536, + 756191893, + -1, + 926953175, + 471243177, + 682515311, + 22276824, + 375631324, + 490346007, + 199369788, + -1, + 902882796, + 553660852, + 853208305, + 383894840, + -1, + 254690265, + -1, + 753045325, + -1, + 408509622, + -1, + 168832563, + 778058104, + -1, + -1, + -1, + -1, + 256341906, + -1, + 948233992, + 678087839, + -1, + -1, + -1, + 773000315, + 41642488, + 995019329, + 583578620, + 862828607, + 30721436, + 44406396, + 711621045, + 573338465, + 236351922, + -1, + 987830600, + 692008676, + -1, + 568137491, + -1, + 987562266, + -1, + 432333862, + 905564088, + -1, + -1, + -1, + 845949975, + -1, + -1, + -1, + -1, + 905969475, + 508135056, + 669055013, + 815450365, + 292033767, + -1, + -1, + -1, + 624255185, + 380475557, + 390362316, + 579061666, + -1, + 648230380, + 37180390, + 381156657, + -1, + 402060521, + 830355163, + -1, + 449094737, + 90284889, + 80605617, + 310996186, + 694797293, + 485707091, + 474844289, + 945235159, + -1, + -1, + 368257654, + 866259894, + 862001589, + 342027314, + -1, + 845117053, + 356601052, + 126785908, + -1, + -1, + -1, + -1, + 170344101, + -1, + 993157353, + 763407533, + 936632689, + 597779220, + -1, + -1, + -1, + -1, + 275390105, + 339683441, + -1, + -1, + 738104665, + -1, + 708302015, + -1, + 50919525, + -1, + 268187143, + -1, + -1, + 683017167, + 9980065, + -1, + 740503146, + 799760905, + 937246509, + 445415128, + -1, + -1, + 713130687, + 586090160, + 368325646, + 14126144, + 905445202, + 773370823, + 296826412, + 134560945, + 149649380, + 152245539, + 18688663, + 59717130, + 125849667, + 939965299, + 192330000, + 966818912, + 478206250, + 474600411, + -1, + 326210336, + -1, + -1, + 532323116, + 320999303, + 913538603, + -1, + 175711986, + 105514104, + -1, + 932171528, + -1, + -1, + 986990351, + 28496068, + 751209983, + -1, + 662743746, + 465551993, + 409540256, + 237783027, + 506611659, + 498625913, + 416529536, + 684813484, + 387885658, + 809362023, + 953704064, + -1, + 188066054, + 502710883, + -1, + -1, + 210913021, + 480417076, + 457404135, + 430285497, + 107015874, + 840230026, + 955180199, + 505721232, + 524784521, + 100873143, + 313715832, + 502940434, + 285418980, + 164126933, + 228019889, + 810843750, + -1, + -1, + 682940084, + -1, + 539094353, + 49951689, + -1, + -1, + 563040406, + -1, + 992728992, + -1, + 507994854, + -1, + 657456123, + -1, + 715757844, + 989799616, + 579068530, + -1, + -1, + 860699395, + 683442648, + -1, + -1, + 339846993, + 309605458, + 299615947, + 909247077, + 752120087, + 281786600, + 569682895, + 267551446, + 76493790, + -1, + -1, + 397107668, + 556796667, + 36256800, + 920956710, + -1, + 797719843, + -1, + 230674592, + 666199014, + 19443657, + 797120889, + 140559552, + 164549732, + -1, + 757142462, + 630194190, + -1, + -1, + 453609841, + -1, + -1, + -1, + 532553691, + 282390223, + 728637962, + 750082894, + 527586333, + -1, + 333153654, + -1, + 401461948, + 903899889, + -1, + 220522883, + 303572240, + 725390909, + 948027292, + 237847965, + 80248570, + 361952725, + 709981496, + 359911988, + 918442422, + -1, + -1, + -1, + 937517493, + -1, + -1, + -1, + 894129658, + 47482648, + 577806809, + -1, + 45109711, + 664648279, + 534427731, + 348169953, + -1, + -1, + -1, + 959726857, + -1, + 305770166, + -1, + -1, + 941245669, + -1, + 66131750, + 517869193, + 244876562, + 645474223, + 341167532, + 294995049, + 769271572, + 611974566, + 918681252, + 523712720, + 950849501, + 673158499, + 243097954, + 372768270, + 295470962, + 645335242, + -1, + 565752881, + 248963430, + -1, + 660038014, + 324143708, + -1, + 367243709, + 307548318, + 50767966, + 422804263, + -1, + 446188596, + 337953441, + 827838697, + 252966296, + 257190700, + -1, + 141378807, + -1, + 627734234, + -1, + 505476419, + 30659937, + 782223084, + -1, + -1, + 14851692, + 833135914, + -1, + 522284874, + 64483297, + 389320507, + -1, + 473363085, + -1, + -1, + 590906498, + 971071527, + -1, + 59347421, + -1, + 370426190, + -1, + 381032735, + -1, + 40058829, + 195637369, + 859966401, + -1, + 546858151, + 661841238, + 229047686, + 567356429, + 611996227, + -1, + 312226320, + 468500096, + -1, + 841079615, + 374755549, + -1, + 216108608, + -1, + 882076370, + -1, + 241172901, + 324961716, + -1, + 206225930, + -1, + -1, + 981625077, + 504198879, + 842734026, + -1, + 650660681, + 418807603, + -1, + -1, + 260688216, + 110208277, + -1, + -1, + -1, + 918228504, + 121236228, + 789342067, + 501924047, + 412202133, + -1, + 936491518, + 9880509, + -1, + 213697608, + -1, + -1, + 278321448, + -1, + 32636753, + 905865296, + 577033113, + 14916845, + 119451890, + 313107456, + 710058053, + 6247850, + 638937602, + 733662707, + 748922758, + -1, + -1, + -1, + 858636930, + 485623100, + 995096491, + 417563176, + -1, + 203884481, + 916616962, + -1, + 17063063, + 205600096, + -1, + 476369574, + 799644471, + -1, + 731708838, + 15305439, + -1, + 806264301, + -1, + -1, + 980365888, + 268877051, + -1, + -1, + 987715149, + -1, + 120064103, + 597048679, + 437176420, + 927046054, + -1, + 494919638, + -1, + 9975625, + 129343911, + -1, + 514431457, + 117393543, + 609471916, + 389211593, + 153115214, + -1, + -1, + 841354940, + 656461363, + 744318628, + -1, + 427249061, + 670055188, + 906596867, + 552375837, + 860015256, + 302649100, + 284047386, + 675996786, + 301245653, + 671153849, + 673182943, + 30066987, + 832869088, + 964971739, + 114953262, + -1, + -1, + -1, + 761809984, + 669333738, + -1, + 416567244, + 214655890, + -1, + -1, + 747598403, + -1, + 396045111, + -1, + -1, + -1, + -1, + 323360267, + -1, + 210242186, + 416680175, + 922105218, + 624415841, + 758172299, + 175852312, + 657138342, + 300688355, + 484815294, + 274266592, + 714080978, + 793304134, + -1, + -1, + -1, + 464035305, + -1, + 341235094, + 687343369, + 413348888, + 780589847, + 352097083, + 102090611, + 772570429, + -1, + -1, + -1, + 415948633, + 709046487, + 272763563, + -1, + 955145960, + 759480655, + 76063659, + 774471130, + 751260379, + -1, + 540463342, + 996179456, + 45531606, + -1, + 198176472, + 6375041, + -1, + 93630905, + 825757114, + -1, + 682610282, + 731735256, + 154679016, + 515289435, + 741225523, + 269750346, + -1, + 330248879, + 262551665, + 695134088, + -1, + 120084778, + 416789571, + 92879829, + 549166992, + 226997387, + 339371663, + 11217270, + 586937282, + 568961238, + 921161719, + 94620422, + 917951017, + 925473189, + -1, + 775566403, + 898736906, + 854240759, + 940418979, + 504044435, + 554083127, + 546165063, + -1, + 762808418, + 938175336, + 487107635, + -1, + 791215392, + 973059469, + 693805349, + 389874794, + -1, + 103673120, + 878608219, + 220183178, + -1, + -1, + -1, + 974654876, + 234381591, + 135728733, + 855256016, + 381518003, + 661453322, + 173605606, + -1, + -1, + 722696467, + 106746245, + 13909744, + 814342725, + 750435018, + -1, + 299505263, + 417712380, + -1, + -1, + 219530636, + 825446826, + 689189802, + 939937558, + -1, + 906801361, + -1, + 280081761, + 940640714, + 911758022, + -1, + -1, + 263039172, + 371439047, + 162912700, + 870607724, + 488607618, + -1, + -1, + -1, + -1, + -1, + -1, + 879425486, + -1, + -1, + 815656310, + 278596658, + 287025359, + 668348866, + -1, + 734725951, + -1, + 68687087, + 963954248, + -1, + 239391947, + 976565129, + 109964379, + -1, + 984502400, + 790577541, + 250388316, + -1, + 428355227, + 636689579, + 852488715, + -1, + 846043683, + -1, + 838485153, + 721300051, + -1, + 882392284, + 227204399, + 188244329, + 79657215, + 291674501, + 976764758, + 263212308, + 658079454, + 202823729, + 711285114, + 989616616, + 8360788, + 590159408, + 653687657, + 679966091, + 118281705, + -1, + 342629048, + -1, + 784431301, + 10073313, + 735930150, + -1, + 860798757, + 338610673, + 144964711, + 918750834, + 825122200, + 727688289, + 96642920, + 99976946, + 633991274, + 326503426, + -1, + -1, + -1, + 482410882, + -1, + 593485832, + 746971390, + 809413929, + 260857025, + 139870554, + -1, + 698349969, + 559668700, + 141066234, + -1, + 353004620, + 335192409, + 809280285, + 711676701, + -1, + 39668211, + -1, + 641177440, + 731258515, + 496131476, + 337714171, + 501683205, + 811830892, + 655879786, + 111038490, + 923175305, + 295545090, + -1, + 148437243, + 261680959, + 435361693, + 595683341, + 11516825, + 886937826, + 912800149, + 56507764, + 537288603, + -1, + 172317561, + 99283299, + 480700027, + 591439283, + 688571968, + -1, + -1, + -1, + 127043267, + 893202408, + 664022338, + 395932150, + 845979245, + -1, + 300178421, + 509993228, + 63420163, + 974006174, + 118129178, + 406302308, + 660965314, + -1, + 704657164, + 597465885, + 392550136, + -1, + 386958620, + 454125418, + -1, + 410872058, + 512275094, + 109235142, + -1, + 470030184, + 173310936, + 894964139, + 134223383, + 482972569, + 350280374, + 527513825, + 766901950, + 261642529, + -1, + 560381227, + -1, + 50850944, + 176146261, + -1, + 939738977, + 410729360, + 655266122, + -1, + -1, + 578922817, + 301132010, + 648741354, + -1, + 255454097, + 142137883, + 396443351, + 747830723, + 566423872, + -1, + 586255377, + -1, + 613362266, + -1, + -1, + 183052894, + 267762233, + 361359531, + 331231169, + 910266578, + 290641127, + 718400083, + -1, + 633322518, + -1, + 124074478, + 169571187, + 305841773, + -1, + -1, + -1, + 308806604, + 739435205, + -1, + 792539162, + 809490423, + -1, + 528919142, + 530817408, + 930470786, + 532928021, + 825284666, + 364809615, + 492809787, + 884521335, + 552873625, + 647195163, + 451754912, + 392275455, + 167013148, + 452845077, + 280600949, + 861268624, + 37417383, + 143014861, + -1, + 818647496, + 816506381, + 44346044, + 751038129, + 785133612, + 259639501, + -1, + 718856822, + 800732561, + 218060313, + 108012247, + 493586108, + -1, + 141566397, + 976806802, + 774318095, + 353137220, + -1, + -1, + 947903368, + 897820391, + 257604487, + -1, + 151057463, + 897358322, + -1, + 729279564, + -1, + 291544126, + 443529493, + 733105538, + -1, + 677362144, + 904043897, + 762709275, + -1, + -1, + 834351855, + -1, + 781185314, + -1, + -1, + 447289328, + 75142038, + -1, + 903050987, + 662273705, + -1, + 86316074, + 323506835, + 615002393, + -1, + -1, + 543609062, + 118797224, + -1, + -1, + 827005339, + 770812499, + 634558378, + -1, + -1, + -1, + 819502758, + 258833404, + 846887866, + 275184649, + 398013346, + -1, + 624464549, + 664958349, + 626437151, + 600439189, + 463432897, + 934074552, + 774987213, + 838744497, + 661938655, + 392804270, + -1, + -1, + 105017118, + 823332422, + 409733515, + 486481695, + 300495789, + 440721039, + 337009035, + 133131812, + -1, + 471121721, + 96822375, + 944566574, + 704982147, + 263295349, + 61925658, + 969379831, + 804116794, + 97055079, + 798402497, + 239055657, + 445431887, + -1, + -1, + 613543959, + 138929125, + 247234913, + -1, + 252635059, + 524632623, + 384580306, + 997454215, + 840972242, + 351626932, + -1, + -1, + -1, + 243793320, + 483880253, + 193971339, + 259621622, + 445359442, + -1, + -1, + 896750620, + -1, + 552818900, + 198711191, + -1, + -1, + 97281228, + 569630878, + 263262071, + 966370378, + 868454467, + 106046570, + 104427694, + 668537464, + -1, + -1, + 705713813, + 626239204, + 570119262, + 275008134, + 360913401, + 12644619, + 336059467, + 457114259, + -1, + 208576676, + 492636004, + -1, + 50501659, + 542442896, + -1, + 695553925, + -1, + -1, + -1, + -1, + -1, + 209239365, + 23564350, + 102183485, + 665303781, + 530202216, + 591910665, + 567614631, + -1, + 157200306, + 381311543, + 349020294, + -1, + 351650646, + 880189025, + 354299144, + -1, + 736610728, + 66547973, + 51027832, + -1, + 203545243, + 369812244, + -1, + 961980372, + 462137970, + -1, + 937845569, + -1, + 700941873, + -1, + 321909214, + 256280346, + -1, + 974692561, + 846827418, + -1, + 467888470, + 680401950, + 795993138, + 851890222, + -1, + 208620544, + -1, + -1, + -1, + 548802942, + 819713327, + -1, + 814922132, + 557077413, + 80390313, + -1, + 313130192, + -1, + 155954526, + 803790818, + -1, + 470595187, + -1, + 443416719, + 322519284, + 481799645, + 512594108, + -1, + 4658367, + -1, + -1, + 713254185, + -1, + 549764120, + -1, + 465145303, + -1, + 788884451, + 456657688, + 927933608, + -1, + 949155238, + 211335269, + 929362974, + 549056949, + 612028816, + 447470787, + 172536794, + 419873750, + 823389273, + -1, + 209434906, + -1, + 995868892, + -1, + -1, + 659795277, + -1, + 172611076, + -1, + 133009135, + -1, + -1, + -1, + 503180208, + 59938983, + -1, + 360472488, + -1, + 327623107, + 394038626, + -1, + -1, + 858747109, + 990411668, + 558245060, + 292493361, + 700230267, + 648392857, + -1, + -1, + -1, + 985751571, + 264778550, + 654785288, + 86399176, + 844039693, + -1, + 157529081, + -1, + 203170572, + 711642737, + 300627202, + -1, + 91576012, + 333141014, + 231587956, + 570043714, + 227447747, + 809595617, + 159252202, + -1, + 761094255, + 543201645, + -1, + 728333649, + -1, + 947384766, + 473759720, + -1, + 290451560, + 23229636, + -1, + 697192240, + 887524977, + 48604665, + 464906926, + 643543512, + 737670320, + 240900998, + 5626069, + -1, + 638143163, + -1, + 487241286, + 713558969, + 367057116, + 312531000, + 929715142, + -1, + 217322282, + 39821723, + 846199433, + -1, + 198750004, + 67584826, + 728493259, + 80994266, + -1, + 699736254, + -1, + 180171616, + 529636036, + -1, + 721334766, + 472688461, + -1, + 10878918, + -1, + 560679096, + -1, + 443405295, + 888070227, + -1, + -1, + 59887539, + -1, + 703557084, + 13478860, + -1, + 52620174, + 961961307, + 32571858, + 423748802, + 330799634, + 642129533, + 657773696, + 913999087, + 676052799, + 265908672, + -1, + 253985532, + -1, + 102795789, + -1, + 300096652, + 90679124, + 947023843, + 689523679, + -1, + -1, + 914024618, + 483418741, + 151749950, + -1, + -1, + 400678970, + -1, + -1, + 937138202, + 741076511, + 8801650, + 95853050, + -1, + 360924135, + 10977794, + -1, + 828514985, + 217571913, + -1, + 435551017, + 841016561, + 806849967, + 803647057, + 467830597, + -1, + -1, + 949824402, + 122220742, + 752519, + 948726386, + -1, + -1, + 652522905, + -1, + 721830859, + 799669297, + -1, + 105458914, + 589038911, + -1, + 154799825, + 200996432, + 936519372, + 25691830, + 451387791, + 77557250, + -1, + 881319686, + 395926054, + 430235930, + 334471512, + 992128126, + 326232581, + -1, + -1, + 361627916, + -1, + -1, + 150531791, + 961431204, + 417781044, + 868940743, + -1, + 560051797, + 711138436, + -1, + 639712719, + 807704036, + -1, + -1, + -1, + 614968146, + 11381660, + 449337585, + 855466761, + 933301987, + 181122262, + 172998800, + 344965764, + 663522043, + -1, + -1, + 185503107, + 493564145, + 96171694, + -1, + 703043636, + 938846431, + 721544764, + 264559700, + -1, + 837660, + 671303219, + 574067857, + 259307886, + -1, + 233242894, + -1, + 152904365, + 392937674, + 769252910, + 319178713, + -1, + 299833368, + 538303640, + 567074447, + -1, + 533766334, + -1, + -1, + 202638566, + 290882485, + -1, + 348565579, + 533046841, + 157920686, + 107009441, + 695130085, + 821392520, + 139242252, + 460577307, + -1, + 265732155, + 126358847, + -1, + 104941872, + 769035950, + -1, + -1, + 810977172, + 189471803, + -1, + -1, + 489296471, + -1, + 91709010, + 302234377, + 700952775, + 666163839, + 778314203, + -1, + 598044323, + -1, + -1, + -1, + -1, + -1, + 583842024, + -1, + 585642891, + 487241259, + 11189610, + -1, + 35176071, + -1, + 774684017, + -1, + 976347221, + 283158313, + 44651142, + -1, + -1, + 731848796, + 426156054, + -1, + 794976746, + 90197194, + 139977064, + 862083233, + -1, + 666494192, + -1, + 317025455, + 593350448, + -1, + 278867308, + 467206737, + 105646898, + -1, + 814484560, + -1, + 727944543, + -1, + 298111368, + 209170545, + 302560922, + 109567492, + -1, + -1, + 963330498, + 91894954, + 902419211, + 786436992, + -1, + 809961672, + 146116699, + 20856169, + 277659688, + 308393617, + 175148071, + -1, + -1, + 364018984, + 238376898, + 64690413, + 947470464, + 430612878, + 586348912, + 419455823, + 826838786, + -1, + 514786680, + 618451876, + -1, + -1, + 946423893, + 860235832, + -1, + 375123689, + 885385172, + -1, + 980712998, + 96750732, + 874416636, + 300262233, + 768452781, + 839936468, + 253318926, + -1, + -1, + 539723487, + -1, + -1, + 57236602, + 336530170, + 660670407, + -1, + 179759258, + 629272248, + 700417994, + 274115318, + -1, + 984528251, + 573371230, + 890079180, + 695155700, + -1, + 148887779, + -1, + 757458577, + -1, + -1, + -1, + 974554143, + -1, + 328874969, + 508584879, + -1, + 921905356, + 231346536, + 180553052, + -1, + -1, + 229372838, + -1, + 804137785, + -1, + 85128433, + -1, + 844753358, + 463044514, + -1, + 947943524, + -1, + 977793160, + 204305476, + -1, + 239785701, + 472856099, + -1, + -1, + 947034467, + 324869100, + 208415045, + 432308540, + 558929432, + -1, + 621070803, + 897169062, + 69928904, + -1, + -1, + 442454876, + 171620259, + -1, + -1, + 380285031, + 124326874, + 434691969, + 175410743, + 126399841, + 647087656, + 989732622, + 735706490, + 383424481, + 313885954, + 849529210, + -1, + -1, + -1, + 100195873, + 70758732, + 100159319, + 736941124, + -1, + 521765424, + 620098938, + 123960151, + 762370231, + 210528670, + -1, + 707681848, + 723774200, + 634560761, + 472010613, + -1, + 56123009, + -1, + 290080158, + 115328179, + 757314297, + -1, + 580777570, + 747189057, + 407131548, + 907115498, + 916782943, + 459438546, + -1, + 794869343, + 311318744, + -1, + 301891274, + 973067686, + 219504813, + 313340970, + -1, + -1, + 405465558, + 71918303, + 542271829, + 80994930, + 451997455, + -1, + 513613036, + 773286298, + 403515368, + -1, + -1, + 301998302, + 335062009, + 700527639, + -1, + 135737112, + 534498492, + 324412376, + 589329563, + 965496852, + -1, + -1, + 757840105, + -1, + 769248915, + 822798133, + -1, + 626787596, + -1, + 702942378, + 848047211, + 605321698, + 181354490, + 472775837, + 103900788, + 727957278, + 892979912, + 452512172, + 260403340, + 56600456, + 900906, + 814047992, + -1, + -1, + 805818886, + 262987063, + 180353627, + 498148320, + -1, + 792317417, + 920557035, + -1, + 880241431, + 224282573, + 329661337, + 272871986, + 330277541, + -1, + 439077008, + 570863796, + 763974951, + 369423239, + 368035450, + 952577022, + 351193659, + -1, + -1, + 999942038, + 192739533, + -1, + -1, + 805158814, + 193164715, + 39592348, + 447843865, + 450064657, + -1, + 510557685, + 501454658, + 855900791, + 83824625, + 25912558, + 390000126, + 468016618, + 801213210, + 980838916, + 440119397, + 73428808, + 369789037, + -1, + 859104290, + 24676675, + 816185045, + 62424546, + -1, + 142071216, + 339240721, + 274675403, + 371099485, + 122977464, + 438906626, + 670573018, + 998736803, + 462620569, + -1, + 699883118, + 240165879, + -1, + 254511560, + 499973633, + 486183502, + 937107785, + 401601634, + 535554692, + 726110670, + 674643304, + -1, + -1, + -1, + 188659697, + -1, + 65195275, + 422123766, + -1, + -1, + -1, + 171516178, + 343577782, + 544830398, + 687655815, + -1, + 536515253, + -1, + 944220386, + -1, + 759349563, + -1, + 180332445, + -1, + 840984375, + 874000320, + -1, + -1, + 358844221, + 89613038, + -1, + 511887264, + 218400731, + 317424120, + -1, + -1, + 543347648, + 714627699, + 344079976, + 326007154, + 855722465, + -1, + 26560565, + 791691610, + 67723163, + 961477706, + -1, + -1, + -1, + 884437927, + 203085180, + 981567053, + 452758585, + 496090704, + 81897472, + 91116198, + 592180624, + 781176574, + -1, + -1, + 599242603, + 644249683, + 122124860, + 235886856, + 459395558, + 928403296, + 802367041, + -1, + -1, + 216708907, + -1, + 176252017, + 524207216, + 530022790, + 267048147, + 216765894, + -1, + 965333952, + -1, + 111814500, + 585534743, + 613548735, + -1, + -1, + -1, + 310308626, + -1, + 506464916, + 259661592, + -1, + 439981881, + -1, + -1, + 334659654, + -1, + -1, + 889921673, + -1, + -1, + 828510581, + -1, + 5589433, + 979627346, + -1, + -1, + 409937695, + 532425846, + 872856158, + 135785546, + 423324351, + 378876922, + 366469781, + 84911600, + -1, + 739491044, + -1, + -1, + 814660539, + -1, + 717878880, + -1, + 960832838, + 772584877, + -1, + 501284656, + 645793815, + 15255143, + -1, + 445717690, + -1, + -1, + 984089907, + 245711811, + 42617420, + 347150616, + 397394225, + 431816918, + -1, + 892825346, + 405546126, + 359281855, + 204751127, + 531963556, + 708323134, + 150287311, + 289044974, + -1, + 787015935, + 391403870, + 859383875, + 134122027, + 356722542, + 953094126, + 440359547, + 265325875, + -1, + -1, + 567994899, + 323967945, + -1, + 86237785, + -1, + -1, + 775164762, + -1, + -1, + -1, + -1, + -1, + 411458343, + 956520451, + 222635092, + 582348803, + -1, + 533223340, + -1, + 602105383, + -1, + 145516465, + 503740751, + 50348185, + 245079943, + -1, + 314950172, + 546002013, + -1, + 153676407, + 66391844, + -1, + 600043158, + 914437327, + 86149929, + 735595434, + 119903882, + 912003836, + 516560966, + 635104294, + 390563458, + 205523946, + 428732128, + -1, + -1, + 382371101, + 293477593, + 333441083, + -1, + 9613669, + 4847458, + 171092340, + -1, + 281696220, + 578920663, + 631344907, + 381823130, + 3905249, + -1, + 730662522, + 569243042, + -1, + 684872638, + 482986130, + 646458729, + 328324900, + 88901200, + 15591661, + -1, + 172088971, + 261347401, + 230638778, + -1, + -1, + 443499981, + 739074501, + 447317284, + -1, + 548268169, + 631644325, + 393561028, + 703741611, + 721784858, + 19143644, + 103039098, + -1, + 857703538, + -1, + -1, + 71137049, + 185837174, + 968006360, + -1, + -1, + 365980394, + 549519837, + 962394679, + 900973064, + -1, + 74733562, + -1, + 83244636, + 460403073, + -1, + -1, + 955131412, + 26244178, + 957954087, + 735897788, + 404486336, + 156664428, + -1, + -1, + 398975309, + 979095682, + 950604748, + 446773631, + -1, + 484704578, + 122643202, + 35235066, + 987604964, + 185024989, + 871577900, + -1, + 320679022, + 706867378, + -1, + 582659, + 397494815, + 149312206, + 431679580, + -1, + 369083871, + -1, + -1, + -1, + 935688292, + -1, + 513267371, + 744079303, + -1, + -1, + -1, + 533000668, + -1, + 63387227, + 556126762, + -1, + 360528846, + 830680308, + -1, + -1, + 728640877, + -1, + -1, + 714508878, + 214674834, + 789434320, + 669680552, + -1, + -1, + 123413294, + 616679349, + 125787882, + 39513098, + 409456399, + 496726620, + 192046373, + 229099938, + 321456119, + -1, + -1, + -1, + 303845091, + 174963361, + 459906742, + 557298009, + 468217250, + 87901763, + 196118444, + 281305329, + 570881237, + 950233242, + -1, + 489051567, + 819724526, + 675524258, + 456990505, + 782161465, + 3664744, + 6556868, + 984496870, + -1, + 334120062, + 349288849, + -1, + 105864224, + -1, + 481509029, + -1, + 28524278, + 541886696, + 184890069, + 790488966, + -1, + -1, + 912547854, + 407602740, + 615067045, + 451863148, + -1, + -1, + 375556686, + 208609639, + 520857514, + 437904809, + 836127498, + -1, + 578001029, + 25778999, + 304638571, + 88138675, + 621884880, + -1, + -1, + -1, + -1, + 366900210, + 550667667, + 682510831, + 614686709, + 694054485, + 583896061, + 21568991, + -1, + 486659449, + -1, + 211229130, + 581748810, + 537496748, + 464316426, + -1, + 773387664, + -1, + -1, + 199714730, + 468370973, + 439462359, + -1, + 653331566, + -1, + 341991415, + 963504420, + 855255198, + 506813736, + 695172514, + 115609778, + 653842705, + 585398287, + 270854017, + 291964051, + -1, + 826393247, + 625801088, + 60418805, + 296650053, + 555433482, + 731781417, + 235608338, + 910440832, + 69680953, + 635733268, + 670723143, + 547390498, + 981168662, + 961118445, + 281973763, + -1, + 911844038, + 335901588, + -1, + 545818656, + 114449077, + -1, + 607553800, + 81127901, + -1, + -1, + -1, + 802599860, + 882174207, + 190367443, + 847401597, + 537406001, + 519089243, + 723075866, + 693503118, + 713574498, + 531671933, + 249340120, + -1, + 512206881, + 677106978, + 453967875, + 442900103, + -1, + -1, + 300903609, + 758248774, + 610547603, + 816387318, + -1, + 38015409, + -1, + 496296192, + 158540024, + 420298092, + 613964775, + 439819748, + -1, + 841623109, + 17408935, + 182709449, + -1, + 531256614, + -1, + -1, + 374284134, + -1, + -1, + 322121330, + 941462913, + 709976340, + -1, + 106041990, + -1, + -1, + -1, + 590374585, + -1, + 19915034, + 956830625, + -1, + 830176206, + 484139257, + 925652244, + -1, + 755189363, + -1, + 702682858, + 963350083, + -1, + 168165443, + -1, + -1, + 995150540, + -1, + 853300689, + 432816267, + 117837484, + 538587599, + 809512227, + 127888922, + 306655787, + 871217149, + -1, + 186356331, + 313104000, + 347515432, + 983717787, + 168973004, + 135075276, + 366001504, + 592476484, + 916010627, + 699803990, + -1, + 358537572, + -1, + 42630062, + 665831090, + 411025633, + 24144063, + 362985273, + 988174970, + -1, + 84452663, + -1, + -1, + -1, + 673184193, + -1, + 684872344, + 211195733, + 127807412, + 447898130, + -1, + 916819261, + -1, + -1, + 882340079, + -1, + 141586495, + -1, + 492942069, + -1, + -1, + 291422994, + 562325891, + -1, + 687275688, + 686454891, + -1, + 654727926, + 160198840, + 432519218, + 984360852, + 49389805, + -1, + 180817437, + 561215055, + -1, + 708571172, + 680000139, + 744744058, + 837765563, + 954557084, + 128440476, + 449064760, + -1, + -1, + 100770137, + 896393729, + -1, + 87893891, + 281979497, + 225165069, + -1, + 45661583, + -1, + 274810563, + 794238716, + -1, + 788300737, + 192710484, + -1, + 344036367, + -1, + 26562841, + 972753065, + -1, + 599074134, + -1, + 782769158, + 298937175, + 58680634, + -1, + 44108623, + 911950496, + -1, + -1, + 863329832, + -1, + 381113157, + 6657053, + 797897692, + -1, + -1, + 675546644, + 11583049, + 327829101, + 242739963, + 490120780, + -1, + 595387802, + 83336656, + -1, + -1, + 463473207, + 34470281, + 716137967, + 601154372, + 801631522, + 989619849, + -1, + -1, + 136683837, + -1, + 618985427, + -1, + -1, + -1, + 531286489, + 193195849, + 549287637, + 46630995, + 934013845, + -1, + 904031458, + -1, + 816107133, + 928160353, + 734998628, + 118844850, + -1, + -1, + 154266963, + 616883052, + 821035549, + 564908115, + 939912278, + -1, + 429765879, + 745596352, + 545435598, + 527174382, + 856394017, + 938265959, + 474045369, + 695887675, + 491700849, + 512666082, + 869306748, + -1, + -1, + -1, + 495862908, + 748917766, + -1, + 111164705, + -1, + 905464370, + 252168494, + 542277546, + -1, + -1, + 579155680, + 300046226, + 776008248, + -1, + 34155250, + 831535756, + 645336661, + 257978926, + -1, + 166343443, + 307106491, + 230630354, + 603525924, + 67387134, + 35329385, + 503056214, + 29825081, + 879123508, + 738868902, + 589446848, + 764625133, + 406810181, + -1, + 949832971, + 343941940, + 900745588, + 683112272, + -1, + 92919913, + -1, + 217212181, + 590931465, + 153855772, + 434697572, + -1, + -1, + -1, + 131483391, + 651832387, + 601245024, + 405796009, + 828377788, + 934633273, + 153451716, + 199753857, + 70982921, + 263103838, + -1, + -1, + 759716439, + -1, + 948642572, + 98807052, + 714687460, + -1, + 449792275, + 916281340, + -1, + -1, + 405790214, + -1, + -1, + -1, + -1, + 879100259, + 255989261, + 128222176, + 623979869, + 355547341, + 241063647, + 601717586, + -1, + 839000800, + -1, + 123179494, + -1, + 855107704, + -1, + 503402830, + 515062484, + 351752397, + 529013701, + 473352518, + -1, + 20136770, + 289841897, + 317495772, + 965058809, + -1, + 917886911, + 521693579, + 142085475, + 21330759, + -1, + 208952484, + 784756754, + 523277310, + 949405659, + 98167741, + 149173171, + 489324082, + 264492230, + -1, + -1, + -1, + -1, + 529517443, + 124933161, + 35216375, + 9531916, + 667297756, + -1, + -1, + 100666499, + 704058224, + 687012310, + 582753754, + 369375700, + -1, + -1, + 964230524, + 964649474, + -1, + 187599150, + 356787054, + 951171660, + 841971543, + 367370128, + 99477108, + 586781658, + 822124485, + 652633988, + -1, + 143695277, + 362059987, + 326461939, + 455546186, + -1, + 241289460, + 443113574, + 46905312, + -1, + -1, + 300215600, + -1, + -1, + -1, + 751221357, + 785641165, + 412432574, + 40078537, + -1, + 145284005, + -1, + -1, + 657105560, + 326106528, + 140140597, + 780348837, + 194902880, + -1, + 153730172, + -1, + 933197208, + -1, + 708103792, + 875319829, + 150287521, + 141096426, + 30011945, + -1, + -1, + 79737485, + 965705700, + 784199869, + 251336217, + 102949818, + -1, + -1, + 515328206, + -1, + 630601099, + 25449521, + 837306652, + 444057010, + 297344770, + 145515750, + 184294356, + 431351200, + 331705633, + -1, + -1, + 597560931, + -1, + 824530268, + 890478917, + 786695289, + -1, + 412061532, + -1, + 603965058, + 387760649, + 107825395, + 50612900, + -1, + -1, + 725870430, + 919179483, + 154274216, + 511138686, + 497923965, + 633343578, + 850527177, + 840855221, + 254395188, + 58169073, + -1, + -1, + 951528771, + -1, + 397769547, + 622761040, + 651558913, + 829382691, + 588329449, + 251585568, + -1, + 477402421, + 477674352, + -1, + 390874766, + 273559121, + 771056358, + -1, + 555795565, + -1, + 768721461, + 354900930, + 976153232, + 333939036, + 525731118, + 936402908, + 502754956, + 224382832, + 234560251, + 881211620, + 931022493, + -1, + 185707486, + -1, + 518228417, + 733997470, + 529153774, + 36064967, + -1, + 79899511, + -1, + 378238816, + -1, + 997740904, + 499999316, + 464287229, + -1, + 812523071, + 473729986, + 802675801, + 537527779, + 5906010, + 159361571, + 642904521, + 976281127, + 755746528, + 863553774, + 631355870, + 749045500, + 988477530, + -1, + 749685816, + -1, + 831629497, + 477163814, + 949897386, + -1, + 262502257, + 172159167, + 720397206, + -1, + 988825971, + -1, + 557804075, + 30930831, + 591063688, + 81365879, + 682505447, + 639910995, + 920596423, + 826951488, + -1, + 83879885, + 629430593, + 189604307, + -1, + -1, + 689436563, + 56317744, + 70498395, + -1, + -1, + -1, + 37560803, + 543166094, + 855097412, + 788908560, + 596101033, + -1, + -1, + 319658069, + 537853070, + -1, + 444208417, + 627405131, + -1, + -1, + 90087550, + 861753994, + 702537845, + 964862390, + -1, + 281861024, + -1, + -1, + 413422096, + -1, + 429301451, + 858493110, + 58376995, + -1, + 119625845, + 329282108, + 751957923, + 440863178, + 719421367, + 126004714, + -1, + -1, + 52193624, + -1, + 960194156, + 88697038, + 951589446, + 389794356, + -1, + 625647990, + -1, + 812934070, + 903146843, + -1, + 273727005, + 369871156, + 156357977, + 497397803, + 657511664, + -1, + 457101167, + 757955242, + 245718957, + 719838856, + -1, + -1, + 282271652, + 424382589, + 392635698, + 552714447, + 723312175, + -1, + 838929320, + 683878137, + 157562114, + -1, + 213232515, + 153311718, + -1, + 684975023, + 865687484, + -1, + 482309636, + 562595788, + 683668360, + 38908354, + 862877730, + -1, + 555883269, + 812325236, + 586371718, + -1, + 937608534, + 561443419, + 97445146, + 447548634, + -1, + 216398663, + -1, + 607502108, + 824770171, + -1, + 163898957, + 314235355, + 498311088, + -1, + -1, + 164808489, + 591498396, + -1, + -1, + 821765446, + 127976711, + -1, + -1, + 757915170, + 888438277, + -1, + -1, + -1, + -1, + 722901277, + 589064422, + 305501782, + 582079417, + 897873569, + -1, + 723518967, + -1, + -1, + 967919502, + 662410711, + 406090800, + 733123110, + 130590639, + 435654035, + -1, + 83278304, + 887411367, + -1, + 699348970, + 550907030, + 279025075, + 871211796, + 491619211, + 753812520, + 530936843, + -1, + 442555091, + 904997522, + 632457373, + 917675058, + -1, + 955194713, + 556119443, + 919685530, + -1, + 827937463, + 193637280, + 338852854, + -1, + 734930500, + -1, + 828147989, + 924162126, + -1, + 873433630, + 299296524, + -1, + 927042796, + 914214302, + -1, + -1, + 605165013, + 243182180, + 99737655, + -1, + 963562891, + 649635907, + 407045996, + 160132011, + -1, + 586000440, + -1, + 991732580, + 737740049, + -1, + 747594805, + 27215281, + -1, + 691724773, + -1, + 205531895, + 943073770, + 626169278, + -1, + 588215654, + 476724486, + 326354046, + 698497583, + -1, + 591892126, + -1, + -1, + -1, + 881961516, + 819410268, + 187090201, + 654292262, + -1, + -1, + 772134430, + -1, + 477220991, + 53603466, + 650014381, + -1, + 899609886, + 363453318, + 725829861, + 305755593, + -1, + 997262867, + 725109347, + 77314305, + 346897330, + 774098288, + 396309923, + 225984639, + 12153802, + 595733771, + 927916791, + 821808898, + 212920939, + -1, + -1, + 208053492, + -1, + -1, + -1, + 565727347, + 39528512, + 272836969, + 919654719, + 342142115, + -1, + 946136726, + 575906288, + 680029691, + 301607323, + 626044005, + 51887842, + -1, + 941164959, + -1, + 795360312, + -1, + 581616670, + 261271824, + -1, + -1, + 756803081, + -1, + -1, + 639804661, + 470290706, + 498197286, + -1, + -1, + 452863544, + -1, + -1, + 535004488, + 776256953, + 979644041, + 777304722, + -1, + 418076147, + 264168973, + 527504676, + 131016829, + 937269908, + 215128633, + 678502308, + 763385882, + 767413312, + 891639388, + 446860600, + -1, + -1, + 817751920, + -1, + 659836308, + 120165598, + 257402938, + -1, + -1, + -1, + 138754271, + 78557538, + 607454116, + -1, + -1, + 608630795, + -1, + -1, + -1, + 321871597, + 16040018, + 855477534, + 532621401, + -1, + -1, + 928028080, + 693058492, + 696987918, + 425930123, + 810142816, + -1, + 206222534, + -1, + 412035000, + 358376371, + 543602420, + 791226001, + 133906212, + -1, + 560831753, + 189725529, + 599334084, + 946385300, + -1, + 218597297, + -1, + -1, + -1, + 961478059, + 551131528, + -1, + 222478883, + 31089633, + 111950354, + -1, + -1, + 654783878, + -1, + -1, + 524434192, + 836121917, + 434095708, + 764086640, + -1, + 760904055, + -1, + 365325195, + 691926904, + 33414740, + 425023906, + 162815961, + 194790027, + 792992891, + -1, + -1, + 76019836, + 895747346, + -1, + 895553069, + 941505751, + 389767008, + 978909237, + 632469207, + 643811539, + -1, + -1, + 199472616, + 484750289, + 83560991, + 362470756, + 451698720, + 382342015, + -1, + 330099851, + -1, + 175735915, + 929166998, + 437880889, + 101482275, + 149277798, + -1, + 351467663, + 668606345, + -1, + 989250256, + 804949180, + -1, + 516509998, + -1, + -1, + 403663408, + -1, + 130309, + 877248241, + 151480566, + -1, + -1, + 531913782, + -1, + 790172747, + 223038450, + 854043571, + 51757157, + 799528373, + -1, + 220900930, + -1, + 358657400, + -1, + 876411163, + 603227536, + 666655899, + -1, + 74131790, + 146673763, + 689958652, + -1, + 429966308, + 706542888, + 10133644, + -1, + -1, + 353528166, + 794672979, + 559942136, + 730080975, + -1, + 300693108, + 644111768, + 667138902, + 702589093, + -1, + -1, + 741330543, + 290343884, + -1, + 844183872, + -1, + 279789064, + 576872084, + 58962406, + 500713789, + 352508726, + -1, + -1, + 836527839, + -1, + -1, + 569872013, + -1, + 910258272, + 818270354, + -1, + 770631755, + 741732346, + 843129894, + 888474397, + 426322333, + 897504170, + 848843077, + 260209056, + 287118345, + 306347857, + 331278287, + 718407558, + -1, + -1, + -1, + 333604446, + 695036390, + 798080582, + -1, + 610878426, + 383198878, + -1, + 269175481, + 346000178, + -1, + 865150707, + 811226396, + -1, + -1, + 420088092, + 985707162, + -1, + 153555774, + 476075881, + 25659145, + 22002903, + 483375729, + -1, + 145246646, + -1, + -1, + -1, + 520278027, + 718423765, + 504594224, + 704129226, + 533396130, + 160210731, + 25599688, + 732310910, + 170784231, + 9607772, + 175046908, + 474277509, + 379823783, + 409968528, + -1, + 901889749, + -1, + -1, + 151193551, + 124991504, + -1, + 265011182, + 411814846, + 813863509, + 775431071, + -1, + 103035971, + 417686727, + 859277858, + 708566836, + 245403572, + 40536423, + 685740334, + 273921418, + 816891066, + -1, + 930084155, + 220615950, + 447199806, + -1, + 947791138, + 176091715, + -1, + 803257335, + -1, + 197543755, + -1, + 787113453, + 35961451, + -1, + -1, + -1, + 99149359, + -1, + 134437424, + -1, + 369067131, + -1, + 453556992, + 733716910, + -1, + 722188699, + 504791600, + -1, + 120989555, + 255915129, + 476188729, + 797005909, + 471589938, + 652227000, + 511634571, + 471059822, + 833151507, + 800441123, + 876765179, + 993848857, + -1, + 135489739, + 734083913, + 110175245, + -1, + 658553341, + 804694477, + 359569991, + -1, + 728931348, + 699017559, + 566739031, + 839970442, + 559130478, + -1, + -1, + -1, + 975779571, + -1, + 144372547, + -1, + 667620457, + 651828571, + 12585860, + 461256515, + 160912524, + 49971446, + -1, + -1, + 535410871, + 288193074, + 895948741, + -1, + -1, + 814923688, + -1, + 568852996, + -1, + -1, + 173690226, + 88525558, + -1, + 700047261, + 802854697, + -1, + 378956626, + 89710084, + -1, + 9132731, + 423147363, + 613188231, + -1, + 542622342, + -1, + 950872470, + 726807652, + 19230590, + 747732053, + 993654932, + 777888470, + -1, + 315471164, + -1, + 422481930, + -1, + -1, + 834120979, + -1, + 819604890, + -1, + 473814283, + 282339877, + 328073993, + 27121412, + 60467061, + 128881292, + 504863828, + 694496924, + -1, + 37289511, + 248107920, + 288985228, + -1, + -1, + -1, + 242110252, + -1, + 469326884, + 253673118, + 882118591, + 394595885, + -1, + 100179474, + 915727635, + 493540371, + 975424420, + 38542146, + 894459234, + 557233408, + 488669010, + 616072775, + 774354487, + 106200104, + 929890025, + 715610040, + 467688743, + 780212092, + 628660088, + 865487460, + 188634387, + 260229479, + 472584719, + -1, + -1, + 15653272, + 270492916, + 862718694, + 81423384, + 874286069, + 915260474, + -1, + 170363978, + 418735066, + 161040828, + 107283402, + 273148567, + -1, + 154932751, + -1, + 200246639, + 511964006, + 133853687, + 721135609, + 512775387, + 854830048, + 400627827, + 657004929, + 461297147, + -1, + 992040405, + 887398328, + -1, + 993801944, + 918187637, + 881105663, + 66955959, + -1, + 99068644, + 665307121, + 12560234, + 598068844, + -1, + 797638302, + 703442695, + 872737223, + 405890377, + 473255226, + 357264056, + 496102275, + 874209413, + -1, + -1, + 55574455, + 874713900, + -1, + -1, + -1, + 430164318, + 654709920, + 551074075, + -1, + 298282430, + -1, + -1, + 635396328, + -1, + 223327622, + 965150345, + 118799643, + 713500354, + 775829747, + 196059660, + 346875711, + 402738874, + 282291825, + -1, + -1, + -1, + 647736634, + 761168978, + 277194227, + 262096823, + 651508123, + -1, + 719799072, + -1, + -1, + 144006583, + 262609672, + 288850235, + 749665376, + -1, + -1, + 601124167, + -1, + 687303194, + 771235809, + 61881468, + -1, + 647187419, + 607917253, + 297075949, + 166675199, + -1, + 738250190, + 807567235, + 329383974, + -1, + -1, + 407429760, + 749101175, + -1, + 932916296, + -1, + -1, + 431541605, + -1, + 246986889, + 953017355, + 113916638, + -1, + 101712742, + 467544706, + -1, + 596725593, + 977774655, + -1, + 715663624, + 152329348, + 559242642, + -1, + 430439884, + 468046789, + 527505976, + -1, + 56566525, + -1, + 12817488, + -1, + -1, + 529796566, + 615445347, + 303387860, + 221981788, + 591683238, + 874478008, + 723576620, + -1, + 390935130, + 614433020, + 834124830, + -1, + -1, + 49366485, + 45804092, + 172515347, + -1, + 459113381, + 622537834, + 277107264, + -1, + -1, + 991149850, + 943623942, + 68210979, + -1, + 164062465, + 346551275, + 129326274, + 262980253, + -1, + 779793800, + 162036674, + 203332636, + 108757748, + -1, + 483319694, + 108047997, + -1, + 157462784, + 533660394, + 357296142, + 428432779, + 845322672, + 667191161, + -1, + 368003970, + 836942860, + 470930087, + -1, + -1, + -1, + 831882947, + -1, + 504461182, + -1, + -1, + 898273644, + 987477905, + -1, + -1, + 990383953, + 902379917, + 733141892, + 554371343, + -1, + 200950157, + -1, + 836930544, + -1, + 97795807, + 182910930, + -1, + -1, + 955789234, + 70476334, + 780957687, + 69097202, + 487416859, + 73261249, + 142244121, + 559533586, + 940821585, + 362226420, + 309786069, + 383528516, + 801326880, + -1, + 483225737, + 383674940, + -1, + 659519937, + 696512193, + 210152372, + -1, + 270949698, + 583573208, + -1, + 636843769, + -1, + 807235086, + 163371990, + 293925764, + 597362342, + 645380786, + 530622049, + 571160607, + 116490132, + 124228642, + 820136020, + 967256606, + -1, + 801988502, + 543727498, + -1, + 217679371, + -1, + 895234391, + 413732152, + -1, + 939163734, + -1, + 415630925, + 579408235, + 296399471, + 479124596, + 669044827, + 3529528, + -1, + 670865289, + 988101381, + 510325052, + -1, + 515823372, + 866547539, + 39390516, + 188145894, + -1, + 980732282, + 317611782, + 413118283, + 284690288, + 991721244, + 981520141, + 937088302, + -1, + -1, + 257073701, + 86886183, + 426295428, + 885165186, + 261017128, + 581520144, + -1, + 269569778, + 735655878, + 66762536, + 160448398, + 519874079, + 467912798, + -1, + -1, + -1, + 33699624, + -1, + 40515441, + 78032469, + 659209030 + ], + "output": 999236625 + } + ], + "haskell_template": "minDifference :: [Int] -> Int\nminDifference nums ", + "ocaml_template": "let minDifference (nums: int list) : int = ", + "scala_template": "def minDifference(nums: List[Int]): Int = { \n \n}", + "java_template": "class Solution {\n public int minDifference(int[] nums) {\n \n }\n}", + "python_template": "class Solution(object):\n def minDifference(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimize_the_maximum_adjacent_element_difference/ocaml_tests/main.ml b/minimize_the_maximum_adjacent_element_difference/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..9bd5412c11aec12ea8e96484e345dbca117bdf13 --- /dev/null +++ b/minimize_the_maximum_adjacent_element_difference/ocaml_tests/main.ml @@ -0,0 +1,45 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let minDifference (nums: int list) : int = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 4 (minDifference [1;2;-1;10;8]) + +let test2 _ = assert_equal 0 (minDifference [-1;-1;-1]) + +let test3 _ = assert_equal 1 (minDifference [-1;10;-1;8]) + +let test4 _ = assert_equal 1 (minDifference [155852482; -1; 205273984; -1; 352105079; -1; 676990998; 220355245; 630119173; 785033767; -1; -1; 471165589; -1; 406639560; 321537742; 155323266; 480347933; 202550498; 355931798; 113652451; 641365132; 610075689; 269920662; 501280382; 488679666; 895630264; 738627016; -1; -1; 511758035; 880391577; 257430200; 343985332; 800390763; -1; 42135243; 36821987; 176406672; 95853787; -1; -1; 8909509; 458364994; 957068491; -1; 404556539; 318302340; 859359943; 874074948; 405885881; 46541070; -1; 284715633; 412682964; 726503190; -1; 576571795; 663934262; 141937862; 567542064; -1; 24938269; 617797441; 805372891; 825825392; 685085352; 776648405; -1; 126426801; 253655918; 133137312; 161651910; 649986976; -1; -1; 93101424; -1; 289138065; 9385552; 48135410; 450907272; 3602831; 944279429; -1; 696375923; 918845419; 409799339; -1; -1; 696979921; 270949192; 717981256; -1; -1; 431294182; 681333088; 929565541; 574715368; -1; -1; 720691769; 142662666; -1; 812798723; 88113306; 751224517; -1; 778112862; 178785814; 405686943; -1; 496682258; 921247338; 548982676; 986124436; -1; -1; 3902300; 942668248; 958610270; 912781918; 990695702; 199416203; 572461540; 848393460; -1; 37511148; 6652022; 399349486; 58465154; 496215626; 774338871; 215651417; 224315967; -1; 591816003; -1; -1; 182754769; -1; -1; 658941988; -1; 971441704; 232824930; 406783410; 421133944; 720174809; -1; -1; 31662928; 115229020; 742073631; 811699720; -1; 73436407; -1; 983026508; 988769379; 520375829; 821093640; 594064875; 915985366; 207768962; -1; 971282877; -1; 900781515; 585333637; 787382313; 429817521; 771287682; 880291078; 688892978; -1; -1; -1; -1; 859283457; 222128351; 364885003; 435520334; 815652824; -1; 319838497; -1; 425757766; -1; -1; -1; 977672551; 398319389; -1; 84781521; 772431493; 29830095; -1; -1; -1; 321132968; 11320604; 908744256; 827969051; 546151071; 930088374; 48831052; 773259590; 225287223; -1; -1; 922880297; 553350124; 625040268; 810559065; 316633489; 894499989; 517670845; 87293421; -1; 521352115; 679580398; -1; 717094256; -1; 93976134; -1; 689596023; 66136104; 740032670; 430762910; -1; 734230232; 342552162; 119016340; 56433536; 268138471; 656896371; -1; 593722246; 410411187; 887803037; -1; 391734163; -1; 33623170; 171684407; 167694917; 285326594; 822125946; 318465929; 729528987; 904614376; 916787595; 728930953; 708056130; 948039852; 212623405; -1; 223107308; 33105011; 142126101; 7672132; 483139132; 565312793; 759530661; 549040456; 494806901; -1; 498729985; 990520896; 993439088; 699880482; 352469729; 487015943; -1; -1; 509904293; -1; 948914883; 108920271; 428115524; 380919699; -1; 244673908; 730549119; -1; 161149241; 612601171; -1; -1; 215049745; -1; -1; -1; -1; -1; -1; -1; 958231329; 571768233; 177862505; 10287055; 314050111; 686300880; -1; 94899478; 769023174; -1; 159509549; -1; -1; 874121864; -1; -1; 365439729; 979448867; -1; -1; 116253046; 522018890; 543430943; 1865908; 69832866; 83749299; 962751146; 832834300; 167533678; 526896041; 166527046; 564077097; 19945233; 32004883; -1; 328676235; 718280422; 140091181; 201029828; 957648306; 242607131; 673508988; 185631722; 381929241; 200923792; -1; -1; 271863060; 769871012; -1; 209774757; 141901207; 329095055; 426185971; 19314230; 664090958; 543559637; 662441217; 363931338; 411375537; 821219956; -1; 770479510; -1; -1; -1; 943664322; -1; 85194413; 176960003; 786919819; 88848426; 235573868; 965431029; 907043129; 89434121; 947839913; -1; 871641813; 269479873; 404189289; 160375893; 533147147; -1; 474191732; 924973249; 190500483; -1; 212118598; 223326458; 327063792; 774049208; 848531705; 744317651; 291833587; 717000027; 366572542; 214108692; 10243278; 235352168; 7626950; 498939354; 901414913; -1; -1; -1; 57354594; 651933766; 445785275; 477883910; 129530288; 582302462; 632126838; 645091953; 93514383; -1; 751512463; 301109224; 437622477; -1; 562523619; -1; 418672187; -1; 673887953; -1; 102638054; -1; -1; -1; 935645785; 991978633; 383125188; -1; 208644441; 455809352; 381566212; 743570052; 553116186; 830545471; 330779499; 779752893; 635958149; 237272525; -1; 637182667; 689694391; 520469623; 273556511; 779187614; 77559217; -1; -1; 436369079; 919468009; -1; 195836694; 410078551; -1; -1; 602386903; 453562562; -1; 769038879; -1; 544177569; 596140322; -1; 369901974; -1; 240796826; 929856071; -1; -1; 753663824; 413601801; 153854096; 374781060; -1; -1; 349296114; -1; 861118843; 277213480; 212093756; 706141252; 634911862; -1; -1; 505606741; -1; 753461459; 778758739; -1; 188899174; 577114015; -1; 789507997; 315816965; -1; 488917567; -1; 247269351; 765448141; 324910519; -1; 816059538; 721171924; -1; 263079827; -1; 691187622; -1; 831247297; -1; -1; 592235746; 766074930; 412456344; -1; 95356163; 253434738; -1; 498012037; -1; 44040051; 839337170; 936107768; 677728945; -1; 267430005; -1; -1; 490719431; 195013888; 272189663; -1; 232668011; 49421382; -1; 248631615; 52442254; 968565700; -1; 842312375; 745246894; -1; 555287586; 433399849; 336941313; 105507622; -1; -1; 552432863; 781026942; 202872915; 754356231; -1; 594598863; 448142304; -1; -1; 18338469; -1; 915389860; -1; -1; 29595103; 324290848; 400086012; 805278917; 485959405; -1; -1; 109482921; 800461595; -1; -1; -1; 630615106; 555071350; 220165763; 537295764; 982622369; 292876522; 696585768; 26819707; 805414558; -1; 241344392; 83782803; 338113709; 984501009; 476241541; 245933479; 523874938; 729031335; 361157157; 440489994; 659027497; 976839028; 960455459; 782867548; -1; 131198977; -1; 86925666; 265274346; 872819712; 89952999; 220182034; 239900540; -1; -1; -1; 229861974; -1; -1; 86756452; -1; -1; -1; 892817126; 329148111; 402166393; -1; 765828782; 454855132; 168936416; -1; -1; 383028030; -1; -1; -1; 224331523; 544233442; 933521367; 365747926; 66358914; -1; 500909286; 768406162; 290088435; -1; 768143366; 942068163; -1; -1; 390052519; 502434692; 171124209; 857691442; 197105202; 499764248; -1; 608549766; 760237481; 6453876; 573760655; 770949923; -1; 13345847; 536422792; -1; 589351520; -1; 631511999; 222064300; -1; 520388117; 172438687; -1; 698839739; 565340302; 635800614; 544340543; -1; 642969769; 72491371; 637440297; -1; 595556528; -1; -1; 665275247; 812966976; -1; 878308258; -1; 63804310; 17873710; -1; -1; 498191761; 11836145; 819752722; 738454376; 602573624; 815510453; 969479102; -1; 850426938; 484701434; 472576976; 705854638; 170316309; 97281857; 507388762; 207976139; 533262786; -1; 308257241; 630310899; 395488545; -1; 911275602; 669054743; -1; 63036857; -1; -1; 566397313; 437600868; 804322944; 471134555; -1; 355600451; 389250280; 532728143; -1; -1; -1; -1; 494381316; 414146244; 780155046; 93765229; 340242420; 725440447; 139397114; -1; -1; 34756008; 706022679; -1; 209209451; 684455099; -1; 209874822; -1; 147889351; 513854782; 127279807; 759411958; 974972346; 110927087; 365289219; 622728237; 585186704; 791894281; 89873235; 665332964; -1; 970664790; -1; 444779384; 387132788; -1; 607142426; -1; 980566709; 162057494; -1; 78739608; 654678277; 353110466; -1; -1; 410518308; 374359689; -1; 558256715; -1; -1; 663042608; -1; 997269334; -1; 629510502; 124528685; -1; 474505381; -1; -1; 568999772; 912056229; 535271624; -1; 669091312; 877517148; 104987929; 87461788; 275420166; 19086011; 156373761; 835131934; 831243861; 652656981; 123460124; 227092646; 847384923; -1; 9866199; 962642198; -1; 898900534; 712291594; 267190182; 687541391; 48612456; 308621316; -1; 874726080; 943302433; 93440026; 269754923; -1; -1; 91897044; -1; 472369872; 996657637; -1; 652471265; 393314675; 197347187; -1; 26931867; 895164586; -1; 651998511; -1; 655187098; -1; -1; -1; 161941748; 399914124; 405878466; 728929569; 496053308; -1; 496196161; 857845466; 636628849; -1; 266371654; 186047677; 858186157; 767619861; 926062567; 428132826; -1; 528065731; -1; 15409167; 257943787; 617551450; 870857520; 36413167; 139855796; -1; 70640707; -1; 915290013; -1; 176721226; 626637110; 127638234; 29260240; -1; 905371497; 24569986; 178464793; -1; -1; 710908763; 26348624; 784596790; -1; -1; -1; 840593890; 398469595; 883648431; -1; 860663365; 1165443; 98479313; 675174824; 397480348; -1; 71822596; -1; 489053873; -1; 379738941; 108677558; -1; -1; 17002615; 831674286; -1; -1; 279461982; 998408411; 774502570; -1; 893607932; 65080823; -1; 163866954; -1; 19981737; 416743296; 194215675; 122909798; 478448305; 717889049; 526261582; 127154664; 438777398; 359940456; -1; 910753099; -1; 581993442; 276928708; 807629922; -1; -1; -1; -1; -1; -1; 270263174; -1; -1; 986286645; -1; -1; 592924957; 695907093; 596874487; 121296760; 451903182; -1; -1; -1; 818949098; 421730078; 864284308; -1; 561127798; 612159094; 764409793; -1; 801633037; 135587801; 791589276; 701611567; 547556985; 909993384; 713580753; -1; 543389097; 966895619; 891485039; -1; 794227237; -1; 432672627; -1; 201428717; 869988717; 847363908; 586362023; 314205494; 588323024; 462177744; 669609452; 929799977; 390552478; -1; 984751521; 484192684; 998168746; -1; 951581843; 163950817; 597655713; 286785543; -1; 716814617; 213097186; 236733190; 393315503; 283087448; 863691741; 13768029; 792384354; -1; 991412471; 234223520; 348940542; 239717011; 818593652; -1; -1; 5695581; 584943112; -1; 246072530; 111780362; 597541527; 758726853; 248777227; 296372836; 943453377; 865969914; 848185435; 730332050; 949855934; 849633150; -1; -1; 178576570; 580952275; 426361625; -1; 621492192; -1; 822859681; 93292626; 525434760; 697609409; 861968047; 411852188; 419341243; 81032438; 214514305; -1; -1; 675760013; -1; 68685008; 858603600; -1; 936051069; 886278398; 6238896; 531892929; -1; 81818231; 972726287; 966017297; -1; 252436211; -1; 527180635; 696676738; -1; 949502088; -1; 501793971; 508556641; 144717404; 45781564; 54379575; 141417807; 473350364; 285343388; 80117662; -1; -1; 937448826; 527052977; 304652105; 679331513; 81058301; -1; 866000260; -1; 948868386; 331641377; -1; 323796468; 610320545; 433979216; 203941326; 34396444; 282684306; 853294153; 11521547; 617964908; 44620667; 364054933; 182482877; 987470593; 4266914; 659387675; 607730846; 118933425; -1; -1; 438410278; 47115188; -1; -1; 102943518; 254132383; 343962284; 426613373; 21782075; -1; 186923987; 770305993; -1; 470115757; 914229857; 900011773; 700640248; 706697219; -1; 691813428; 317374610; 174036199; -1; 972223311; 8197149; 779280915; 155051339; 956528327; 996621130; -1; 164521505; -1; 735667962; -1; -1; 113315267; 973903555; 140275706; 232355190; -1; -1; 441807981; 229927280; 499456794; 175731118; -1; 171434219; 484611813; 50685925; 968133286; 343153466; 632779074; 104170376; -1; 159455691; 129854629; 713665994; -1; 362600332; 802198067; -1; 901124304; -1; 601042969; 730212492; 282591301; -1; 771846461; 387730401; -1; 771430147; 575463992; 984682670; -1; 456591668; -1; 560500667; 972234715; 450383816; 180330194; -1; 739005220; 30434976; 948417366; 723640685; 985687452; -1; 982046359; -1; 836707566; 719287821; 587742505; 943977916; 493742281; 660065843; 5575539; 331057415; 57996060; 30768574; -1; 877145733; 846195062; 230582330; 252612333; 761940057; -1; 607502391; 35543049; 815696933; 601067376; 44374179; 759148719; -1; -1; 756518312; -1; -1; -1; 284776568; 307873660; -1; -1; -1; 610089270; -1; -1; -1; 488913727; 939141078; 289289847; 172259987; -1; 509793787; 786453141; -1; -1; 987535408; 56346989; 823221559; -1; 743508522; 961618761; -1; -1; 21752719; 999018228; 473273777; -1; 39285159; 741734834; 198096226; 183402306; 205482700; 593778052; 588522235; -1; 10470480; -1; 276485585; 470088237; 266305032; 245963342; -1; 899953027; -1; 328500704; 716601365; -1; -1; 556182224; 533423778; 717457973; 383503360; 941588964; -1; -1; 730217698; 783445059; 253298054; 751125224; -1; -1; 557196195; 621667328; 379427599; -1; 791955793; -1; 767606458; 819220125; -1; 739109992; 7044563; -1; 111205679; -1; -1; 895929648; 179906368; 413478791; -1; -1; 872777569; -1; -1; -1; -1; -1; 67064885; 230961986; 268475367; 819140724; 180823946; 468916229; -1; 663587333; 972454822; -1; 66232371; 379785634; 585610123; 233457324; 369712845; 445795506; -1; -1; 137317029; -1; 212259000; 691693250; -1; 74648910; 313424240; 598635797; 867958308; 931748562; 638174086; 363779574; -1; -1; 576832034; 790627754; 163449226; 501580886; -1; -1; 397799427; 171913627; 34795484; 109381712; 753453229; -1; 421847874; 9402727; 669572652; 812020174; 182214697; 736298061; 750981916; -1; 93775703; 787022624; 472456458; -1; -1; 560985060; -1; -1; 613741678; -1; 671804770; 21523146; 963814190; 875962979; -1; 782488929; 91584694; 991391888; -1; -1; -1; 870053037; 373501812; 825317370; -1; -1; -1; -1; 322116947; 505807018; 746391364; -1; 576681881; 2251309; -1; 705925248; 57275518; -1; 822118862; 486634669; 933386083; 113554943; 454431518; 168987635; 956221655; 215470310; 75890158; -1; 429724573; 809541639; -1; -1; -1; -1; 927381449; 818293439; 997255894; -1; -1; -1; -1; -1; 49829444; 302234223; 931137721; 476490970; -1; 119139285; -1; 458588555; 743060457; 273655292; -1; 685244186; 819812548; -1; -1; 225582190; 750074705; -1; -1; 943459749; 350694600; 358529687; 350675432; 390144670; 327225073; 55606518; 182429423; 624422017; 356797874; -1; -1; 688824860; -1; 12635989; 694190529; 49027464; -1; 337499634; -1; 571538041; 85658754; -1; 596481113; 354695190; 414709615; 456042981; 872618295; 909530040; -1; -1; -1; 249125284; 940894252; -1; 708883161; 75402180; 399152729; 899617969; -1; -1; 570922789; 903966708; 345797098; -1; -1; -1; 860169002; 715851260; 946270387; 898497596; 705513148; -1; 867741956; 902610070; 500800476; 706765709; -1; -1; 793433663; 3796130; 675119956; 941825674; 215253254; 824961; 675445922; 82158812; -1; 706648372; 506533052; 14259595; 606220511; -1; -1; -1; -1; 827524040; 795693044; -1; -1; 575856371; 331168848; 146892833; 219070299; 911167505; 218547042; -1; 896291430; 478930101; 580960190; 419504857; 998254168; 557534048; -1; 271178357; 843837533; 252154665; 549449596; -1; 869964526; 388146185; 632752039; -1; -1; 517029543; 3680897; 446952337; 646386810; 920245298; -1; -1; -1; 950994745; -1; -1; -1; 434505353; 186801161; -1; 363899051; -1; 174678291; 426937643; 715716690; 712984839; 518743681; -1; 155693107; -1; -1; -1; 198075428; 739787386; 388740916; 517905558; 708819351; 485771234; 187930611; 84333685; 484019785; -1; -1; 866036371; 478258583; 994502752; 749241153; 359882171; 774958950; 205278305; 241103658; 70035291; -1; -1; 68831592; 942220512; -1; -1; 347102073; 443312625; 810857460; 298788103; -1; 401030214; -1; 384316216; 10298123; 88471077; 499559713; 797821339; -1; 825744917; -1; 834950604; 453687078; 757631231; 327028413; 294335107; 905044796; 603705597; 710597339; -1; 685101555; 448662725; -1; -1; 179168541; 222336722; 839029448; 268753547; 586858661; 667301170; 419008941; -1; 26596319; 6212034; -1; -1; -1; 132674575; -1; 528907829; 644574118; 147391754; 943362536; -1; -1; 865199073; 135589768; 317021314; 326862886; 725291621; -1; 310808129; 959367291; 846318099; -1; 279942469; 778730056; -1; 582205885; 66572822; 241185129; 614073048; 767293947; 436028767; 509755386; 526338077; 822354448; -1; 159105572; -1; -1; 484246300; -1; -1; 814203662; 227244; -1; 96480264; 493517259; -1; 975191849; 806758432; 587106308; 399556808; 655156621; 748065795; -1; 864108844; 129615040; -1; -1; -1; 811133230; -1; 385429102; 344792554; -1; 817908309; 953453830; -1; 477944089; -1; 788059334; 20113808; -1; 343885461; 53183325; -1; 632293089; 987357034; 586851285; 321717633; 659200760; 408837080; 980737827; 886236787; 744561534; 401478848; -1; -1; 982270079; 37922036; 752335873; -1; -1; 187863690; 189149832; 926177671; -1; 201730988; 105110202; -1; 249378570; 656890314; 284574263; 553353925; -1; 158522345; 672853425; -1; 326528074; -1; -1; 54234820; -1; -1; -1; 869363692; 86368639; -1; -1; 929737761; 320666451; 667737141; 303812377; -1; 454854662; 161058915; 210567996; 197323011; 629895759; 57100607; 933040783; -1; 655142746; 325824634; 408835563; 961978525; -1; 829380018; 425084262; 369949749; 654685885; 145203242; 262598582; 12186226; 825448219; -1; -1; 927446457; 906189960; -1; 102023173; -1; 900118728; -1; -1; 721445384; 700451191; 899353173; -1; 841602184; 846857980; 55592211; -1; -1; 303812041; -1; 194055572; 787617858; 613014152; -1; 877314704; -1; 428576461; -1; 19948185; 400052048; 868320868; -1; 195923193; -1; 728510028; -1; 614357141; -1; 707025247; -1; -1; 668841896; 868500787; -1; 298781347; 290085639; -1; 943483590; -1; 90457320; 50755222; -1; 843544597; -1; 977986568; 3574030; 615294446; -1; 972099978; 434745856; -1; 762433713; 600178211; 465403863; -1; 847666175; 984412080; 594294161; -1; 750761505; -1; 474831281; -1; -1; -1; 956525365; -1; 77490841; -1; 290888866; 934603375; -1; 863161934; 360160336; 151482550; 99919941; 534072607; 89952823; 899066621; 703987549; 267775415; -1; 952708981; -1; -1; 650508668; 645222656; 448443534; 629216295; 270095402; 645146781; 816471005; 690590416; 179833645; -1; 708707770; -1; 276475477; 358002211; 999812301; 662802782; 219229960; 150286470; -1; -1; 963222472; 281132979; -1; 946927255; 785345218; 779712601; -1; 782444951; -1; -1; -1; 431378349; 260123348; 321857551; 122712837; 482614605; 55706949; 849007973; 816473482; -1; -1; 209990034; -1; -1; 282186728; 140874875; 544052919; 716646737; 505772140; 582342522; 858483933; 921187764; 481169140; 105246661; 198619839; 473816610; 547728425; 27722567; 52425973; -1; 404671133; 173629915; 410992808; -1; -1; 164662162; -1; -1; 178623411; 150730141; 856411458; 83829555; 170141470; -1; 577025699; 52329559; -1; 985930073; 648309260; -1; 343610758; 646203030; -1; -1; -1; 875726018; -1; 293872790; -1; -1; 567545468; 48009937; -1; 667682772; 5174755; 791975231; 236855497; 207504678; 468517963; 925358864; 12119925; 230282982; 733608513; 888802144; 260034760; -1; 111172631; 991534058; 525972210; 532342981; 185891767; -1; -1; -1; 667207996; -1; 147303219; 498019640; 694109240; 390839125; 705064993; -1; 689255677; 532152719; -1; 536194621; 779691377; -1; -1; -1; 603049307; 676171507; 213339600; 573127823; 986477849; 169246231; 384661924; 608615189; 268430231; 155606963; -1; 787253656; 342505083; 213544975; 450123929; 877341137; 459217104; 636759655; 384315820; 398606876; 419353207; 91521365; 28287460; -1; -1; 746854055; 15028489; 454299287; 475032239; 457548371; 692926465; -1; -1; -1; 974859214; -1; -1; 82564084; 291760001; 400673792; -1; 926457622; 117243208; -1; 58727767; -1; -1; -1; 659469549; 333915382; 852174652; 605183804; 599873396; 345618167; 730157913; 675333468; 571623284; 996400286; 351327602; -1; -1; -1; -1; -1; -1; 190855627; -1; -1; 237274798; 470173095; -1; 93762238; 16422966; 194556749; 747385196; 456600316; 534013789; 962221115; 461874863; 879259395; 275130967; 864076738; -1; 920877005; 148338171; 668744482; 574013487; -1; 112252553; 327405628; 772631758; 734325537; 782666888; 196533193; -1; 186396840; -1; 104810381; 677681551; 899574696; 845334583; -1; 526617207; -1; 622385471; -1; 922045574; 721645223; -1; 357712269; 884737976; 302433675; 661039752; 67048018; -1; 87838669; 48831857; 592183323; -1; 296755907; 297967783; 386844583; -1; 691149661; 643497475; 101981767; 59667753; -1; -1; 871985410; 254442913; -1; -1; 385287686; 863496907; 316337325; 986877580; 116729615; 107359391; -1; 723168468; -1; 443398844; 341314541; 934664041; -1; 20290078; 685567578; -1; 87270525; 962902564; 497542774; 754705669; 51511229; 219592717; -1; -1; 377393586; 757763376; 582763586; -1; 975428445; -1; 803077942; 341764299; 155997533; 614483303; 734354651; -1; 875882700; 199862303; 657790428; -1; 585329084; 201487912; 974216165; 31433967; 51989574; -1; 873000222; 348958833; 850927162; 818345800; 181530769; -1; 920547641; -1; 126417918; 684234475; 84147339; 347921497; -1; -1; -1; 89321920; 592082615; 982040408; -1; 263772749; 796224862; 895537959; 991636148; 641265719; 119474506; 783463909; 806466133; 202796708; 557137725; -1; -1; 986787664; 653892683; 520151029; 302111394; 351728934; 607855978; 353385776; 444394391; 293573902; -1; 750299999; 749336266; 611865359; 859854796; -1; 757582703; -1; -1; 693480278; 800368278; 651545615; 152880443; 593954922; -1; 525829248; 557643749; -1; 701775724; 636324911; 966224294; 955383799; 404518699; 662893625; -1; 963156504; 955478729; 445574103; 515752330; 760280516; 998909745; -1; -1; 343351663; 196639494; 237979921; 445803828; 943451861; -1; -1; 350793857; 181965102; 448153858; 179204385; 837373161; 409617676; 74281943; 168829659; 778791797; 658978767; 311393182; 233988419; -1; -1; 390451082; 494800763; 686998642; 225348267; 698292273; 958966203; 257716151; 503790697; 485763862; 423107521; 545156339; 377403794; 421252195; -1; 133106467; 126442183; 301689689; 976575324; 38949300; 474111350; 696154783; 690470198; 191774853; 420369741; 889528149; 506792138; 145587378; 325146236; -1; 797150628; -1; -1; 70290626; 115633693; -1; 785802716; 970565184; -1; 929797875; 479128505; -1; 730354402; 74714551; -1; 472315991; 648998846; 566732730; -1; 910931915; 717768579; 944692694; 305124658; -1; 976175275; 479428457; 17229998; 22587454; -1; 39627846; 796254345; 2098375; 387691783; 854438942; 545933989; 165642242; -1; -1; 15868166; 215035071; -1; 73822224; -1; 928192175; 987642691; 806489424; -1; 921502779; 718044293; 411129214; -1; 332427705; -1; -1; 58627340; -1; 51831366; -1; 59299185; -1; -1; 670747217; -1; 751127357; -1; 416673999; 443873383; 170302423; 897651540; -1; 666999134; 80683290; -1; 369953688; 447376808; 757776844; 986529608; 681118319; 459009291; 619214121; 961443042; 352348136; -1; 164991552; 976615845; 203357597; 825945508; 531057043; 528630033; 706266452; -1; 497215916; 463217491; 594661074; -1; 677333035; 993796002; 792859157; 967201645; 754981536; 580920144; 697813363; -1; 901598876; 702059150; 123428933; 836897645; -1; -1; 638225329; -1; 333087601; 647138011; 169111289; 619389442; 225508202; 131115737; 478914647; -1; -1; 581096259; 205445332; 875474053; 936300953; 156949892; -1; 885028654; 136275060; -1; 567327733; 126647098; 220314160; -1; -1; 489531057; 761881815; 122465455; -1; 91454611; 575287008; 7605661; 478631255; 353843132; 594490103; 919684138; 454809255; 556539992; 733437292; 757660739; 877735161; 256169037; 506427272; 478329027; 624150617; 182537410; 178214841; -1; -1; 737618848; 470223268; 769796315; -1; -1; 953363665; 55337974; -1; -1; -1; 971708889; 279174594; 612693456; 171809240; 332547004; -1; 554633436; -1; 93571352; -1; -1; 674993716; -1; -1; -1; 580911009; 582913898; 704713524; -1; 450132476; 739576486; -1; 838067988; 851810572; -1; 881166934; 252943003; 763794356; 956206881; 288335165; 836441784; 367170772; 914457764; 701950221; -1; -1; 688446992; -1; -1; -1; 126913347; 160920255; 465993118; -1; -1; 989378150; 855360003; 916745962; 858172582; -1; 927220881; -1; 676539560; 817070902; -1; -1; 335776582; 30810369; 924281722; 813510850; 378079462; -1; 144865229; -1; -1; -1; 719279360; 797746640; -1; 520148068; 89492597; -1; -1; 54711529; 906443050; -1; -1; -1; 231797133; 662762666; 474691194; 635059699; -1; 684708424; -1; -1; -1; 537492455; 64626207; 256406186; 778052186; 901622006; 842162757; 486836423; -1; 912604177; 88010103; 781504425; 50714628; 109699641; 720788126; 640736522; 786003389; 937746918; 195531475; 491269667; -1; 966988496; 318141365; -1; 672331304; -1; -1; -1; 490021643; 589481978; -1; -1; 301530522; 952453430; 459552432; -1; -1; 351441863; 391922551; 490889245; 924136571; 959894342; -1; -1; 839942865; -1; 613699413; -1; 879696657; -1; 365782381; -1; 826485913; 122185390; 47021885; 928616464; 656058047; 996766446; 360071955; -1; 653966069; 521684301; -1; 684944018; 789450112; -1; -1; 328187984; 415290167; 923148055; 388281677; 158574347; 289387694; 3575220; 993336421; 697755391; 52141026; 667577035; 989340238; 925879140; 300112474; 315551382; -1; 711418145; 341971521; 102382475; -1; -1; -1; 694551868; -1; 92832301; -1; 23269526; 793274547; 863050666; -1; -1; 40815393; -1; -1; -1; 774885879; 16296837; 334164944; -1; -1; -1; 217598584; 423046667; 151522893; 635963075; 604714856; -1; 789190413; 197228386; 377234002; -1; -1; -1; 935420188; -1; 429411766; 215971702; -1; -1; 913635840; 645836332; -1; 857011358; 776238964; 828261288; 335038488; 419728011; -1; 829300294; 232500693; 69044399; 975625786; 734169763; 701691467; -1; -1; 234128038; 856748410; 152823298; 510457284; 208867563; 69165212; -1; 644230452; 779104073; -1; 930840106; -1; 208571602; 63820606; -1; 432025730; 829715500; -1; 889675257; -1; 580030485; -1; 995882199; -1; 735640290; 759477445; 996522106; 432242498; 745024757; 265813978; 559355838; -1; -1; 13278923; 812043966; 17634513; 797588701; 326138851; -1; 291830666; 777787728; -1; 333581583; 722691202; 680575620; -1; -1; 924067990; 664174499; -1; 977225762; 940177937; 232179603; 23427219; 787083212; 750818781; 589770335; 505505003; 278055278; 658311858; 5131373; 226663366; 942158678; 422352311; 527013485; -1; 346263528; 809181654; 230722933; -1; 400376175; -1; -1; 354054783; 810211322; 966061299; 227131901; 429873076; 769539353; 187115496; 312456960; -1; 205648442; 101632580; 921296657; -1; 804677188; 788158332; -1; 936670979; 45769676; 327210801; 944246269; 463129289; -1; 858901577; 789106314; 662841353; 706278073; -1; 456618642; 36460789; 657736636; -1; -1; 895744876; 332148365; 683905212; 438898423; 564595212; -1; 332451920; 554671081; 131116140; 150645519; 75858052; 113628223; 394607966; 344261888; 369672637; 274610560; 478772315; -1; 606733276; 133842747; 249346557; -1; -1; 916830562; 809257485; -1; -1; 319504103; 912205581; 616541077; 116850444; 716000651; 459376705; 95830073; -1; -1; 642627683; -1; 452845620; 367416859; 501365248; 215929413; 384382346; 119767008; 634776787; 749174744; -1; 391545992; -1; -1; -1; 717891875; -1; -1; -1; 887553438; 233073551; 701010433; -1; 857513832; 935124155; 990985807; -1; 36660997; -1; -1; 825795721; 439995816; 81784713; 950635379; 105459439; 368705976; 116476555; 481152908; 631970601; 284901427; 472033454; 363785833; 502685841; -1; 153852776; -1; -1; 73976901; 107641881; 962468322; 930718044; -1; 945581166; 662650010; -1; 233040701; 65543087; 908540486; 366622205; 49227101; 27251968; 377298639; -1; 719854090; 507632842; -1; 554412741; -1; 978662997; 177224565; 615966676; -1; -1; 343891365; 956086899; 792082320; 550346526; 760439061; 47746649; 936178702; -1; 885417722; 541003456; -1; -1; 550895046; -1; -1; -1; -1; 998420893; 298871335; -1; -1; -1; 987770336; 967806118; 435615453; 279881499; -1; 651482322; 4026986; 138350936; 742066340; 636141196; 548518506; 579149945; 273112013; -1; 115524101; 827932759; 307363693; 987323351; 789241333; -1; -1; 301641152; -1; -1; -1; -1; 578210074; -1; 466429756; 368895193; 525193831; 203217666; 358245132; 289005280; -1; -1; 784537156; 962506666; -1; 353885990; 282555416; 204024156; 992720556; 611796786; -1; -1; 336799502; -1; 733212318; 115949264; -1; -1; 757704117; 967090039; 950867654; 994590076; 6324317; 1276771; 585491714; -1; -1; -1; -1; -1; 86118465; 54477441; 493208401; 789754801; 761239935; -1; -1; -1; 30158308; 191977271; -1; -1; 859811394; 74725925; -1; 914146770; 213807085; 306875471; -1; 346604911; 355977693; 882433090; 852951804; 52808215; 143424824; -1; -1; -1; -1; 858943181; 139315366; -1; -1; -1; -1; 199734752; -1; 250123661; 64083700; 695960517; -1; 195324516; 6175923; 989218074; -1; 599259344; 77406122; 811683471; -1; 348780725; 449948231; -1; 722778673; 75850843; 353060010; 551529045; 201102151; 647050707; -1; 941036451; 691278528; -1; 711589335; 125967446; 634855315; -1; 47933983; 382335955; 139035331; -1; -1; -1; 563859189; -1; 952167390; 33889464; 621469800; 342748969; 788494737; 758015137; 221341493; 470594333; -1; 574301816; 442840782; -1; 120142373; 567912808; 276364415; 925792927; 386956688; 959762764; 70578067; 913363138; -1; -1; 502342643; 19971534; 683534945; 781806351; 949155528; 692771795; 682239827; -1; 534742980; 213985365; -1; 636490784; 841795213; 30852164; 402174037; 99767041; 32625843; 36768287; -1; 550107901; -1; -1; 637734016; -1; -1; 455931066; -1; 223018016; 597910650; -1; -1; -1; 131352197; 600381681; 987962603; 180429121; 242534391; 916650454; -1; 368245653; 251698561; -1; 802899485; 27655219; -1; -1; 546573712; 25563019; 171717088; 257358783; 614845399; 321666419; 896053128; 182554705; 301558419; -1; 327863305; 702315301; 419219433; 290871232; 456918762; 148926257; 666515255; -1; -1; -1; -1; 690647817; -1; 83938838; 430608295; -1; 473117892; 980638959; 589898508; 839917990; 663002235; 9714377; 251831869; 661964172; -1; 732479549; 273958611; 983342147; 280405183; 113906740; -1; 673464443; 584434253; 120288092; -1; 255950021; 933432691; -1; -1; 918977506; 394783284; 909312425; 391983900; 753014004; -1; -1; -1; -1; 247776958; -1; -1; 710460580; 549733638; -1; 516013236; 414590022; 184110744; 567777936; 999428938; -1; 317213621; -1; 274272275; 796226800; 855354194; 275139452; 813353900; 398933345; 632679732; -1; 174537433; -1; -1; 712771120; 341317872; -1; 989350789; 372662939; 650921733; -1; 744106812; 959002983; 372205140; 241510534; 558791026; -1; -1; 478333838; 430766218; -1; 154492142; -1; -1; 683085518; -1; -1; 312384287; 971065666; 645647470; -1; -1; 628630716; -1; -1; 808386380; -1; -1; -1; 891731311; 684036544; 997214816; -1; -1; 734276415; 127500407; 186124397; 1389141; -1; 13581025; -1; 801123653; 724986021; 227881645; -1; 317012940; 144953642; 841149609; -1; -1; -1; 194316533; 52673361; 434782038; 747258743; 619075167; 751447396; 309353383; 446179177; 940829860; -1; 410797466; -1; 36231535; 21257888; 365593122; 407830956; 985393713; 739315345; 775464045; 244765445; 945194042; 482408226; 356918549; 851263062; 614924227; 816967271; 597104923; -1; 797321078; 128201916; 798985487; 113194897; -1; -1; 298836148; -1; -1; 14206378; 733900013; -1; -1; -1; 666328362; 315051342; 665116377; 821102739; 864475487; 846070637; 33502488; 496303265; 464751142; 508609766; -1; 589944438; -1; 368384471; 992860473; 147622767; 767532032; 312099447; 794536871; 997686827; 998033888; 431448053; 441178304; 185526340; 301438581; 511377169; 67172450; 543886752; 929770925; 36177871; 996425775; 151059460; 702069354; 211806718; -1; 456738373; -1; -1; -1; -1; 139658793; 157181711; 952270386; 233902172; 116332978; 526486198; -1; 272831619; 57184667; 331776973; 472549469; 961929369; 672960729; 274067193; -1; 7332089; 667226390; 760755774; 524959212; 936071892; 393239721; 720353998; 173299575; -1; -1; 750467413; -1; 447687404; 121391943; -1; 411252550; -1; -1; -1; 382808926; 141066828; -1; 563516580; 687852458; 718759017; 701370233; 853804353; -1; 172576995; -1; -1; 992265777; 996528937; 742970801; -1; 250831882; -1; -1; 814810095; -1; 427805758; 895381775; -1; 948559689; 992105914; 211911679; -1; 22837584; -1; -1; 509988500; 388214879; 467647596; 849577431; 270575543; 180893560; 65191538; 872457578; 623335777; -1; -1; 252239903; -1; -1; 62325429; 924080005; 666035674; 984976777; 182355188; 162621233; 229071311; 604450370; 911329477; -1; 535616998; 821663734; 933922442; 880226647; 981523105; 719522210; 404206343; 930807182; 304730304; 190826436; 418942263; -1; 647965102; -1; -1; -1; 707216829; -1; -1; -1; 917380939; 129949712; 221654499; -1; -1; -1; 692281079; 810415674; -1; 31518756; 25859285; -1; 80837076; 201229759; -1; -1; 583707720; 169441100; 859475513; 104486823; 49283906; 321635870; 632937165; 52966208; -1; 329117408; 471518515; 168257362; 770215630; -1; 488115434; 451411524; 745453452; 899970592; -1; 408131799; 771098833; 386987594; 596818203; 826840905; 248661922; -1; -1; -1; -1; 493839376; -1; 992023255; 457520196; 506741543; 368510495; -1; 966301111; -1; 108618771; 591338837; -1; -1; -1; 721814263; 645522276; 33731777; 79175287; -1; 953615029; 704518308; 287023986; 410349355; 661774883; 859607836; 408458078; 678380012; 164012383; 380522827; 173308719; 170222620; -1; -1; 240644392; -1; -1; 338956783; 63967485; -1; 178055346; 509417625; 541321311; 1057376; 996833222; 778344610; 470260629; 602970042; -1; -1; 962912704; 661155863; 794475618; -1; -1; 674619556; 865001006; -1; 77051004; -1; -1; 871508747; 26566461; -1; 672210642; 333970167; -1; -1; -1; 900017388; 552640358; 204575429; -1; 412737104; -1; 930855857; 416066222; 547499531; 50440436; 845152454; 770018285; 721315872; 201569380; 773370572; 394379027; -1; -1; -1; 713806843; 190543423; 262221715; 828929737; -1; 924965158; 818679313; -1; 57107176; 382087312; -1; -1; 836685972; 979347943; 579703151; 730662713; 108179694; 771251776; 243759348; -1; 914712777; -1; 597839576; 566123623; 198356441; 728557650; 161414517; -1; 209522896; 509291458; -1; 225359410; 659390017; 115926214; 932205819; 702239082; 891364171; -1; 162952801; -1; 576224635; 382697005; 312964363; 865754748; 913540364; 292314857; 919070394; 513108483; 922228095; 162164754; 161571965; 745630596; 279548228; 794125098; 472705553; 779668001; 719575478; 807000487; 118233504; 618265439; 219668765; 580122070; 669806618; 652526400; 964647418; 9952489; 945630772; 249508667; 107595607; 90585991; 152789485; 667027323; -1; 300932198; 927323309; 255176387; -1; 608545005; 148160137; 774299297; 150074531; 401935908; 536436337; 172289171; 368887325; 234199260; 141806121; 558911858; 388240858; 925430199; -1; 369484341; 264640890; 947102509; 87241267; -1; -1; 488125455; -1; 941930986; 3991186; 647477027; 888240933; 160600042; -1; 546403509; 507433393; -1; -1; 899707113; 760614710; 1226454; -1; 522569328; 80264451; 65285359; 289342411; -1; 458787641; 825771659; 90255228; -1; 973434007; 28884597; -1; -1; -1; 594441396; -1; -1; 372850327; 183898844; 497355494; -1; -1; 852493423; 957239921; 552334861; 354449907; -1; -1; 418861348; 219590297; -1; -1; 328448449; -1; 627627805; 865825917; 850148269; 770597832; -1; -1; -1; 73083393; -1; 703626222; 595849804; -1; 390563998; 267759286; 101605948; 667659631; 302449978; 323705281; 228539328; 69832568; 805565988; 342640276; 997159370; 372876544; 269393572; 983433146; -1; -1; 55302188; 28379238; -1; -1; 889384238; 688412358; 266090870; -1; 563144218; 181783052; 760864918; -1; 142934601; 55917504; 335704396; 430041002; 107886508; -1; 270638017; 747549786; -1; 388035034; 333444206; 141734440; 340675250; 335041619; 28493098; 42735268; -1; 442564174; -1; -1; -1; -1; 458014152; 452474187; 292014868; -1; -1; 559530246; 710842392; 474234259; 136638276; 783095426; 358488303; 79643212; 761411853; 639141254; 740412846; 948050217; 841863265; 228209614; 146560740; -1; -1; 187329557; -1; 957835343; -1; -1; 751334302; 102391567; 479605051; 823195551; 528545102; 217322861; 778139934; 462710531; 498867800; -1; 581260361; -1; 762162909; 994810023; -1; -1; 541170522; -1; -1; 583092793; -1; 999617057; 564101825; 369198639; 424456178; 350682968; 962607530; 44728865; -1; 7367948; -1; -1; -1; 474901571; 165236173; -1; -1; -1; 563105067; 804591058; 546723666; 319879199; -1; 130002712; 239842531; 409336266; 42337788; 575288849; -1; 560728615; -1; 405831984; 269004851; 875677286; -1; -1; -1; 144992771; 152868415; -1; 768952005; 622540156; -1; 480606214; -1; -1; 583879791; 687787766; 213590085; 187664799; -1; -1; 536285693; 675874134; 958465332; 359008324; -1; 993042376; -1; -1; 526901196; 468251299; 837291292; 80296911; 562536253; 161004526; 251940336; 261175059; 332216703; 613126132; 263095958; 538270478; -1; 852261821; 293629611; 788204588; 303606872; 290446734; -1; -1; -1; 898449986; 176002039; -1; 825072566; 715416014; 97638643; 911608383; 910903325; 839782348; 320018251; -1; 463981038; 273739798; 709072523; 125664672; -1; 918860315; -1; 731956681; 588425130; 867594909; -1; 559930950; 360179388; -1; 375193631; 421229842; -1; 423639912; 284356302; 895396508; 657721837; -1; 589203175; -1; 854782931; -1; 839403817; 551185151; 47520199; -1; 707718367; 393895530; 326969450; 641588914; 678440797; 184158345; 199662838; 96951085; -1; 504693139; -1; 861952867; 74410154; 873522400; 756428947; -1; 570145919; 479783002; 969540370; -1; 463903541; 656829615; -1; 612736218; 841605456; 779257485; 210093852; 811333262; -1; -1; 356220865; 337260769; 988996845; 615098055; 648053685; 977733194; 267314182; 647149632; 277376246; 870144085; -1; 883226963; 676672374; 853594289; 821491964; 899864753; 475914751; 570033608; 397557510; -1; 629354617; 309050719; 148698452; 1644534; -1; 836215776; -1; 676537678; 971488461; -1; 582826122; 812673621; 754325376; 602351951; 447759047; -1; 388773409; 22441698; 561137171; 728689547; -1; -1; 787314580; -1; 773750432; 350007132; 720689115; -1; 416805704; -1; 691226983; 58670338; -1; 640156732; -1; 664437784; 240790605; 411073968; -1; 575696904; 731932006; -1; 188408346; 144994098; 627868710; -1; 982831285; 379655861; 987244500; 929213439; 167383479; -1; 206559342; 549563021; 751097803; -1; 982001304; -1; -1; 6461040; 443783145; 437603309; 286017704; -1; -1; 811474962; 12863226; 873775460; 849651752; 312780745; 937668825; 875494690; -1; 403979107; 181450763; 860342424; -1; 811554548; 4015432; 496748772; 509631247; 518985528; 901773373; -1; 921125307; -1; 881207339; 829709679; 127551183; -1; -1; 971826703; 71595928; 82327426; -1; 626043078; 780928572; 859322218; 929883737; 779044465; 679284471; -1; 658535975; -1; 300324301; 307270557; 497104887; -1; -1; 685001673; 568617712; -1; 300889350; -1; 53957160; 588313352; 336569156; 22602163; 736785814; 63021008; 721941873; 7839285; 725925639; 255032345; -1; -1; 902523052; 310452101; 275327987; -1; 249304169; 988367304; 924121661; 796741478; -1; -1; -1; 22422082; 844210313; -1; -1; 315307693; -1; 238890813; 676109805; 158642351; -1; -1; 196245859; 314396904; -1; -1; 686202947; -1; 845170680; -1; -1; 201252925; 709348252; 645248826; -1; 786260668; 273155279; 422172193; -1; 347720060; 446902442; 765320274; -1; 810738523; 172807713; -1; -1; 920274636; 146127201; 182754453; -1; -1; 250262702; 521413156; 502740886; 559660330; 626795049; -1; 494035975; 917231949; 379945481; -1; 662058615; -1; 591074515; -1; 282627983; -1; 874643297; 209410946; -1; 564322876; 722175205; 508378608; 979685735; -1; 303355218; 570435160; 555540013; 111161299; 393672336; 802300380; 910886727; 564854752; 994179372; 541329042; 70410756; -1; 177884424; 738804231; 394296994; 37730914; -1; 160509582; 698264744; 939690045; 448893808; -1; 807009710; -1; -1; -1; 416776844; -1; 484542073; 161958059; 674141103; 245886403; 370445734; 940656931; 397883769; 420181158; 83869292; -1; 985471357; 221635146; 370859083; 608583714; 367697635; 266613368; -1; 280148461; 13107872; 762031083; 294333169; 312755898; -1; 302607483; -1; 230548676; -1; -1; 676121902; -1; 271977859; -1; -1; 324128198; -1; 640097001; -1; -1; 525445932; 821813983; 958775839; -1; 796529021; -1; 747527329; 605642060; 957857179; 669155396; -1; 654476892; 150148457; 916075652; -1; 653146660; 544252886; 860541959; 744837897; -1; 991059353; -1; 636630203; 267031953; -1; 784941974; 81997268; 679906164; -1; 271936206; 388200878; -1; -1; 335888126; 530650948; 996535792; 533551632; 10796702; 870622607; 638598595; 841344293; -1; 884867388; -1; 27239916; 106377104; -1; 335575601; 370746877; 220030402; 227931814; 597213150; -1; 426572399; 649837385; 520649695; -1; 280863547; 6844007; -1; 199650511; 949252436; -1; -1; 463531421; 586465782; 219457535; 460096201; 205503725; -1; -1; 507294833; -1; 281972666; 745791639; 904723701; -1; 783189668; 212168543; 250755124; 352642037; 966726035; -1; -1; 94439149; 408364276; 726717881; -1; 679119153; 675232855; 342857992; 529212761; 670862478; 831114419; 139899009; 441939681; 114080401; -1; -1; 972157110; 211723413; -1; 586720313; 91959046; 13115623; 556537516; 454436849; 573835772; -1; 449266226; -1; 689508024; 443830604; 238298414; -1; 381054749; 828314464; 310619515; -1; 14730047; 773725699; -1; 476027534; 591023583; 942584387; -1; 684321737; -1; 529510366; -1; 856666025; -1; 695658479; 243025643; 433740096; 268097853; 424681735; 928971601; 891077667; 404987886; 535612427; 791474006; 18451150; 943635355; 429550563; -1; -1; 235648248; 561996585; -1; 471009231; 544790407; -1; 423784375; 693585197; 436456602; 963703882; 128668618; 510641923; 705789108; 609215157; -1; 481461526; 377689815; -1; 653968204; 324303808; 30385639; -1; 937135172; -1; 17255819; 662563628; -1; 395238223; 734952012; 675312418; 943973280; 245555374; -1; 708196970; 193165598; 250069365; -1; 353714265; 722045006; 638740747; 275201780; 755190556; 984589424; -1; 997459316; 769375152; -1; 715162816; 872879622; 695191064; 731660995; 580464712; 24713011; -1; 446908465; 795497149; 465954021; 904923376; -1; -1; -1; 472882409; 341890710; 768953907; -1; 425408337; 699108185; -1; 582888952; -1; 438490798; 874484209; 367346446; 899301369; 798478801; 998893829; -1; -1; 649750995; 4480527; 440250368; 662117995; -1; -1; 66123232; 190449923; 503441278; 667798172; 192909669; 642505572; 186204228; 399167765; 157349232; 533377832; 216629010; 436749794; -1; 81746059; 106823789; -1; 158176355; 296013876; 421719225; 603964434; 8014869; 492281574; -1; 988398283; 257612359; 412286243; -1; -1; 689263829; 861561165; -1; 37501355; -1; 690333743; 881609200; 706604710; 915993778; 968008663; 187502765; 655888004; -1; 99311485; 633064699; -1; 838772309; 450339492; 315661496; 56016933; 582732674; -1; 54784136; 323723683; -1; -1; 497130051; 26811001; -1; 494865669; 191286306; 518235303; -1; 22535342; 770135542; -1; 116574687; -1; 851060533; 534142717; 328163256; -1; 963322643; -1; 544634305; 964099022; 502940550; -1; -1; 883970808; 402265272; 151153449; 965440906; 56241956; -1; 58818606; 113916211; 538266972; 137863022; 918116299; -1; 126589832; 743792865; -1; 70130707; 526436495; 48273085; -1; 20678324; -1; 460067110; 156549895; -1; 157085149; 213717498; 106952960; 647597077; 645247054; -1; 477105354; 986082180; -1; 437946597; 617883454; 173022236; 703139174; 310370433; -1; 323811170; 437559261; -1; 982113107; 682537131; 876475128; 99061824; 115024823; 792915571; 139781583; 825860738; 606942078; -1; 356884657; -1; 116210306; 552773138; -1; -1; 651531169; 452370405; -1; 607410214; 518390070; 290138463; -1; 879077108; -1; 764800359; -1; 473947180; 269615630; -1; -1; 213107931; -1; -1; 999169040; 870401356; 835592866; -1; 181170261; 184973332; -1; -1; 888949281; 237427202; -1; 320223703; -1; 254473838; 974039466; -1; 15991674; -1; 236738721; 642210137; -1; 875177248; 902642918; 343916761; -1; 327636402; 146957383; 432317847; 468237697; 926706456; 2926632; -1; 610943100; 768614817; 113691076; 939278156; 397092567; 428194505; -1; -1; -1; 408356295; 890074574; 523499826; 516368984; 362582514; 952410799; -1; -1; 387619296; -1; 722565376; 61710303; 397299334; -1; -1; 197825647; -1; 472897492; 866983908; 894994121; -1; 668555082; -1; -1; 888587371; -1; -1; 919320044; 12724597; 628838280; 743781231; 341628615; -1; 819257985; 653491958; -1; 830160087; 305541101; 630832011; 527947378; 328877441; 762848120; 198450964; 404770461; 834984787; 220231117; -1; 41362643; -1; 343776254; 910379119; 346030114; -1; 825420923; 211893077; -1; 862155006; 74276453; 642129128; 737700143; 834903056; -1; 466970380; 666480442; 752185362; 199252988; 721771986; -1; 519218299; -1; 754926131; -1; 520053999; 444877887; 728766081; 798393963; 455088463; 375790536; -1; -1; -1; -1; -1; 172344132; -1; 194934827; 315345122; -1; -1; 903970454; 473819992; 746218107; 443236066; 92680272; 736721484; 575150854; 561708343; -1; -1; -1; 473731323; 216056688; 71260445; 40727203; 785927285; 463137006; 830976969; 930573189; 403148819; -1; 329371565; 805528196; 98341358; -1; 588518474; 508748796; 482006536; -1; 296018066; 610162036; -1; 523173155; -1; 876608778; 24395351; -1; 637148299; -1; 210845376; 545309615; -1; -1; 540061277; 112815189; 514237369; 445854670; 427779668; 740717543; -1; -1; 175207211; 822745960; 523226363; 380354221; 332889631; 281722672; 649588025; 666523817; 804860662; 120378978; -1; 451118893; 191503492; -1; 415566989; 626039401; 473989585; -1; -1; 779920078; 994894112; -1; -1; 862655536; 124810629; -1; -1; -1; 898379732; -1; 480940514; 775148496; -1; 567766445; -1; -1; -1; -1; -1; 834356105; 339386872; -1; 566126909; 430140838; 215364642; 519181210; -1; -1; -1; 187240736; 791469406; 705405733; 385435217; -1; 170498270; -1; -1; 909366901; 455823950; -1; 199433167; 132285956; 456569587; 599556600; 389654760; 903808974; 631846897; 421790325; 487413176; 300387282; 513508510; -1; -1; 935827792; 61459022; 651843992; 748490061; 840677090; -1; 81683634; 772471799; 249841461; 851475395; 904170075; 741819130; -1; 367058012; -1; 690608179; 296305939; 947440796; 642150107; 841694231; 241569181; 515269148; 771031729; 370544824; -1; 572891116; 26171565; 566451114; 428363625; 925899443; -1; -1; 287377515; 128400642; -1; -1; -1; 963627405; 225111687; -1; 682408221; -1; 280420629; 793101881; 570046190; 542797840; -1; 317853129; 13686691; -1; 309267477; -1; -1; -1; 708621402; -1; -1; -1; -1; 72135383; 369143627; 75554376; 37374467; 969127072; -1; -1; 910246438; 381204798; -1; -1; -1; 549121612; -1; 512705059; 832319110; 683201468; 690406587; -1; 82055786; 103109205; -1; -1; -1; -1; -1; 589451632; 850250733; 719777321; -1; 579083359; -1; 913430419; 428444124; 649276613; -1; 184971281; -1; 608480097; 209101391; 526424294; 263814990; 847163231; 538460406; 903101036; -1; -1; 729131452; 234226975; 916157936; -1; -1; 536262299; 751836452; -1; -1; 270472206; 708238962; 500269214; 888703385; 883334303; -1; 23626193; 223959790; 117100337; 987309832; 427648566; -1; 135392622; -1; 243866013; 526567428; 678988096; 463184743; 552563750; 964369572; 478511221; -1; -1; -1; -1; 183274445; 682365805; 518285070; 497860350; 35586030; -1; -1; 660409603; 640839994; 400579650; 921228387; 149943524; 790274885; 611915274; 97146833; 250915455; 430825191; -1; 61785422; 320457323; 212672114; 337027835; 41943739; -1; -1; -1; -1; -1; -1; 883602745; 450673920; 415317666; 183748416; 934805504; 829894714; 115297455; -1; 241698212; -1; -1; 497857711; 873653330; -1; 238546934; -1; 858362636; 428933251; 852227740; 856164142; 699120920; 978066637; 47035968; -1; 137437388; -1; 916349917; 536704843; 511127375; 974224008; 687381280; 547832971; 292559455; 739178631; 125978215; 258488538; 6459121; 476151741; 876811853; 898968970; 311662372; 919332811; -1; 187919050; 101303464; -1; 210624270; 408711632; -1; 987648941; -1; 256346709; 538862992; -1; -1; 414288865; 49434465; 599640061; 977147488; -1; -1; -1; 156967786; -1; 936251557; 589367447; 981215085; -1; 597934670; 669202360; -1; 513766521; -1; 174622694; 86061300; -1; 290530440; 319951107; 342355200; 361427586; -1; 162377996; 659124754; 475632185; 314961359; -1; 880524029; 193663327; 384613190; -1; 237523840; -1; 668641831; -1; -1; 740490676; 9862836; 395370054; -1; -1; 214401096; -1; -1; 700079483; 871768205; 675821988; 872995738; -1; -1; -1; 285071454; 247703487; -1; 989037817; -1; 797502956; 952897493; 244586021; 605459050; 261918323; 152907042; -1; 488937401; 610431300; 902260729; 641627222; -1; 647713377; 268823959; 503510234; 41269064; -1; 229735657; -1; 143065091; 445273708; -1; 987155472; 976462028; 196770054; -1; 195823666; 925759051; 514728019; 43038704; 759251425; -1; 110213627; 836844183; -1; -1; -1; 482625904; 102484332; 164659172; -1; 646462385; 358090069; 970040716; 612804691; 726689580; 201487978; 843487038; -1; 567629661; 244692597; -1; 760183569; -1; 447981915; 32750207; 325528074; -1; 953342303; -1; 641693582; 987602024; -1; -1; 915742854; 573114750; 54594186; -1; 828656837; 97869849; 468077258; -1; 368651025; 526224860; -1; 871815765; 750773969; 778831152; 513897703; 774059848; 315445291; -1; 867580028; -1; 479073531; 732188809; -1; 173675957; 89744221; 81353226; -1; 560160619; -1; -1; -1; -1; -1; 187413109; 584731751; 545791114; 425727518; -1; -1; -1; -1; 357265856; 625554152; 729422011; -1; -1; -1; 771638963; 511685323; -1; 376538433; 42187901; -1; -1; -1; 692092015; 954135730; 840375151; 683368583; 905684764; 785602113; 247758080; 483638677; 279618489; 976488507; 641927417; 454653431; 234586762; -1; -1; 282068767; -1; 140597593; 657031859; 439259040; 541384719; 304897989; 699270942; -1; -1; -1; 328340906; 321228123; 829949144; -1; -1; 333673490; 862187622; 726573203; 863950877; -1; 946456925; 126606415; 52265943; 475828474; 829287411; -1; -1; 355867549; 684840119; -1; 891130789; -1; 952451656; 697408337; 354316275; 448803309; 707412834; 293924203; -1; -1; 557597764; 366639332; -1; -1; -1; 838131030; -1; -1; 906044564; 763139060; 504537796; -1; 676004594; -1; 825293745; -1; 42447949; 979374482; 95127205; 34829658; 418245367; 519080520; -1; 650559867; 715730746; 421899612; -1; 733808150; -1; 992278849; 287963157; 195881353; 471165394; 839640029; -1; 239286829; 258246327; 374155978; 304704597; -1; 769090504; 943966673; 983886309; 78950545; -1; 756170990; 897114160; -1; -1; 371274710; 797955897; 258271251; -1; 458860042; 560741895; 193131184; -1; 312850261; -1; -1; 907307799; 233556726; 95310195; 436530415; 582497487; 26327302; 945908558; 127560276; 324904312; 732805394; -1; 635347551; 412363887; 787292442; -1; 302677033; 659141221; -1; -1; 58074978; -1; -1; -1; 114228929; 266930203; -1; 67196944; 267807470; 75744605; 547039722; 468705302; 410523872; -1; 390955155; -1; -1; 249534439; -1; 449011365; -1; 865551296; 726369867; 253367822; -1; 737830084; 827862951; 195883671; 278055415; 961619136; 18418358; 432308273; -1; 586496934; 731568043; 569688139; -1; 140038075; 335965503; -1; 623631237; -1; -1; 627315360; 129986130; 41639847; -1; 856400984; 190088144; 368310941; 629818255; 407623994; 983295759; 959636211; 835060794; -1; -1; 929134462; 544285495; 919099468; 442282553; 933529481; -1; 52328166; 453181978; -1; 980262260; 32455833; 408061052; 189845129; 666514576; -1; -1; 844961201; -1; 843072614; 374641779; 795853770; 399748341; 685177349; -1; -1; -1; -1; 563018781; -1; 847457422; 64471644; 742829720; -1; 500380181; 713461881; 359751458; 673223227; 870661762; 242645390; 960626279; 403027723; -1; -1; 443639234; 47262617; -1; 290882808; -1; 749175100; 320150800; 821998492; -1; 97831050; 382143820; -1; 745410230; 644015168; 341938463; -1; 664330889; -1; 136706218; 896929277; 192689947; -1; -1; 270628169; 631840958; 725625437; 577619230; 343458069; 321485930; 716064437; 420951350; -1; 213542799; 933989200; -1; 498727362; 757514719; 72402728; -1; 839714299; 889368320; 204533692; 580631792; 208158327; 356740115; -1; 21583912; 36045182; 507158574; -1; 584985395; -1; 748742305; -1; 598874583; 465119563; 788906155; -1; 182063269; -1; 804596700; 599145769; -1; 475911090; -1; 226252211; -1; 907327995; 974550518; -1; -1; 704380952; 767873269; -1; 544296986; -1; 367509992; 470041671; 805461956; -1; 158194672; 546572329; -1; 910963767; -1; 221529973; 526127107; 312986612; -1; -1; -1; 779646523; 488459200; 81246474; 845505089; 247255264; 242294046; 816310428; -1; 220545245; 448020603; 342412283; 813290332; 764299872; 741714134; 224843863; -1; 743487172; 812492007; -1; -1; 339150512; 646859607; 835327067; 705367217; -1; 909914518; -1; -1; -1; 502990031; 471988254; 512270212; 433006756; 779100387; 332547734; 171444723; 753271859; 754419459; 388557268; -1; 279199837; -1; 233023807; 116855287; -1; -1; 530737545; 720513654; 211776650; 501014689; -1; 707317861; -1; 13108521; 200550698; 914015959; 308899231; -1; 652272808; -1; 812978243; 584094206; 861652210; 452812157; 186577873; -1; -1; 483475881; 137293367; 529686018; 948625256; 504828778; 428731571; 289251164; -1; 138511999; 416658993; 756216366; 749237390; -1; 178999368; 639734040; -1; -1; 423582053; 305454144; 283603658; 283776130; 171841150; -1; 710026649; -1; 806608673; -1; 72223015; 314284895; -1; 763686818; -1; 760488417; 846379698; -1; 519908147; 112636938; 645174762; 695711710; 509506838; -1; -1; -1; 307077604; 39264944; -1; 993982765; 932081553; 481450973; -1; 607555171; 687199548; -1; 64276435; -1; 964850149; 202959372; 833680724; -1; 45420058; -1; -1; 191069232; 820992852; 647314081; -1; 830490212; -1; 644450349; 166687640; 504366310; -1; -1; 160635534; 356278327; 607584830; 634594822; 125976972; -1; -1; 530341035; -1; 497203013; 490780463; 112740186; 704288322; -1; -1; 683301664; 351261362; 595353260; 54394194; -1; 968782688; 751572007; 649357304; -1; 478086576; -1; 490358568; 105935965; 312916577; -1; 749639808; 185446252; -1; 632885997; 951031155; 628806510; 34423460; 254588671; 358874527; 221821493; -1; -1; -1; -1; -1; -1; 813613822; 91335395; -1; 375946340; -1; -1; -1; -1; 72334779; 150252912; -1; 342569776; -1; -1; -1; 178149502; 658746094; -1; -1; 253613952; 40292249; 801633936; 553674764; 54856498; 745425688; -1; 577312845; -1; 947413831; 271141994; 287964308; -1; -1; -1; -1; 148766918; 419418807; 382559738; -1; 359538962; -1; 456972748; -1; 45605111; -1; 959754530; -1; 683507519; 426928606; 608528557; 41017956; -1; 364211180; -1; 566863945; 698846671; 743781379; 806591677; 389388973; 753320172; -1; 59579470; 586409449; -1; 970440804; -1; 288536608; 773973463; 166048251; 256352907; 361694602; 935853918; 930632429; 801418522; -1; -1; 652493026; -1; 957330657; -1; 813625778; -1; 428112382; 905136408; 557659270; -1; 682460126; 160983401; 248164807; -1; 610798174; 873968812; 118889817; 994877676; -1; -1; -1; 578281726; -1; -1; -1; 417209187; 261946399; 945216479; -1; 925817386; 362132386; 399436890; 669836453; 32533343; 261213996; 616448673; 402745783; 480710628; -1; -1; 148808479; -1; -1; 751346777; -1; -1; 270925288; -1; 905169619; 281727208; -1; 527013304; 264308166; 340059619; 653660208; 572521857; 710075812; -1; 436747171; 257214689; -1; -1; 386160532; 22464183; 332610571; 294920417; -1; 160103401; 149149623; 289472437; 410030720; 67428184; 634236753; 884962474; 768835724; 986095476; 797573925; 589632860; 533050280; -1; -1; -1; 451287597; 650786659; 692267201; 334554938; -1; 745503270; 362865916; 107067398; -1; 465641625; -1; 226451324; 301014722; 807762714; 409735130; 886832965; 971927340; -1; -1; 194496103; -1; 919609485; 670704758; 439395511; 145904827; 424050219; 204756113; 164016146; -1; 95409954; -1; 777530518; 84692637; 496099788; -1; 738418339; -1; -1; 82318208; 997077905; 655930148; 949046085; -1; 122069249; 995285023; 144297335; 156535089; 398747130; 509414449; -1; -1; -1; 229708242; 576243691; 840748349; 903672119; -1; -1; -1; 735987924; 57514626; -1; -1; -1; -1; -1; 21700957; 183352770; -1; 557158564; 690966411; 126412757; 778512492; 144889470; 161942504; 874547285; 610944447; 298847093; -1; 434506611; 105309790; 185402225; -1; -1; 737543951; 951282607; 547454937; 611661490; 32140036; 677624998; 810250526; 247426241; 220772870; 761673420; 450248753; 266372373; 44083102; 918050483; 796541272; 900134407; -1; -1; 53680309; 110669175; -1; -1; -1; 56293382; 977086890; 496887952; -1; 717107462; 102351248; 835364015; 476944145; 908619877; 78048285; 95801169; 673705911; 286258373; 629665395; 709276676; -1; 633789505; 785592087; 69128897; 384705408; 982544174; -1; -1; 159964837; 489146962; -1; -1; -1; 136522153; 364603728; 161027842; -1; -1; -1; -1; 876533420; 98152473; 177428254; -1; 282862601; 260502418; 413582607; 209603779; -1; -1; 513085401; -1; 346277856; 485967984; 111899; 3759325; 684783674; -1; 27266984; -1; 945629277; 427104666; 561406665; -1; 316613572; -1; -1; 151583220; -1; 383950720; 274507091; -1; 198416740; -1; 529643809; 557425927; 240200789; 613130722; -1; -1; -1; -1; 16215352; -1; -1; 702150041; 831014084; 820116273; -1; 293011787; 3963621; 350023410; 502777809; 209586080; 802006378; 711801478; 508396395; -1; 435167620; 777008735; 247824375; -1; -1; 291986103; -1; 817673634; 370919388; -1; 31308913; 186427508; -1; 463272582; 489083376; 398121067; 903310396; -1; 960193452; 178172114; -1; 316915604; -1; 510836125; 877548688; 716615159; 440441727; 641249079; 466617229; 20995702; 430697283; -1; 346239380; -1; 351333076; 885216708; 820267275; 715544953; 569314044; -1; -1; 293226541; -1; 929250178; -1; -1; -1; 776874570; 791164461; -1; 906153739; 809802697; 706842680; 893102620; 878564241; 700827926; 686471387; 322300263; 719682929; -1; 896798588; -1; 785487521; -1; 721361810; -1; -1; 48406995; 94799525; 350831752; 13889050; -1; 102497703; 452163916; 866328086; 496030498; 495114328; -1; 128775030; -1; 860364845; -1; -1; -1; -1; 771322907; 549656486; 52648901; -1; 359889289; 888969580; 947911190; -1; 433635315; 461264013; 997774695; 92364953; 785960909; 998828888; -1; -1; 548588850; -1; 32442157; 971755471; 125010132; -1; 715069131; 517582713; -1; 703680215; 859390218; 943153685; 300102616; -1; 32327921; 751186104; 561656023; -1; -1; 861524033; 307189894; -1; -1; 485063588; 477327294; 735400705; 146740927; -1; 56960820; 51751305; 793018231; 714814500; -1; 688165065; 406121328; -1; 847570067; 968205358; 770010605; 313209510; 936419694; -1; 437210151; 442977944; -1; 488484072; 481026012; 456158018; 435309352; 309829519; 734137320; -1; -1; -1; 337269656; 99204703; 675555881; 491568326; -1; -1; -1; -1; 827622314; 924086529; 3109212; 258299; 427076634; -1; 439761189; 928013038; -1; 930564339; 677154020; 91801304; -1; 879293107; 981634126; 393696498; 28210931; -1; -1; 862650303; 312106351; 294762330; 765865705; -1; 843942436; 550119124; 667292471; 141128666; 229771778; 849364299; -1; 373571291; -1; -1; 430658232; 197440103; 895520519; 660823223; 746709528; -1; -1; 878806346; 64524006; 94344519; 85013305; 723530721; -1; -1; 308322623; -1; 30907261; -1; 897880059; 545763075; 423228442; 409192724; -1; -1; 775371373; 456216089; 295504985; 552331664; 18853733; 132291675; 977764605; 638055078; -1; 271122759; 641721128; -1; 969012094; 538740698; -1; 861867635; -1; 875165292; 155853955; 656646221; -1; 839970064; 287623999; 763901692; 261916503; 62771565; 862468798; 25684783; 851121783; 454773821; 784255479; 405986679; 657759221; 235926312; 479104895; 723055004; 604136298; -1; 864898611; 642912648; 468152826; 230725374; 941335127; -1; -1; 295998306; 132086127; -1; 978360396; 888041664; 922811342; 836568056; 526598650; 538896711; 303412613; -1; -1; 180945641; 616552331; 397757512; -1; -1; -1; 578953709; 849877038; 643983579; 832566896; -1; 962339058; 666005476; 965953611; -1; 535335894; 77508425; 131293241; 798001594; 302115066; -1; 326863749; 361432690; -1; 638789670; 488666799; -1; -1; 379606422; -1; -1; 616420798; 881421073; -1; -1; 378434961; 34906234; 755418624; 341874254; 923804144; 687473569; 424886008; 238141654; 399457541; -1; -1; 257708827; 644407479; 817347456; -1; 773244226; 600572954; 243486531; 452965406; -1; -1; 273609824; 440633212; 465710858; -1; -1; 872332784; 237716094; 458195668; 631150737; 949532331; 228156229; 422721216; -1; 884542070; 617418873; 280049214; -1; 218670040; 702700066; 365698994; -1; 658207679; -1; 371705322; 936161937; 861884564; -1; 518749679; 337420001; -1; 695380135; 916664247; 630070835; -1; -1; 477970092; -1; 278832203; 653962383; 91347751; 966157970; 665564052; -1; 478599626; 817943749; 125470210; -1; -1; 977184935; 495226905; 930078877; 337113978; 191221386; 985486183; 401224576; 411094126; -1; 744726928; 689685036; 197575205; 744027398; 618228140; 772811432; 509454475; 345292153; 31362553; 744300886; -1; -1; 212835514; 158154840; 802906524; -1; 7222764; 127550059; -1; 913206430; 747382252; 222236150; 728599084; 213590730; 898543045; 238041315; 649635079; 604787489; 687211162; 12841019; -1; 589814301; -1; 415597720; -1; -1; -1; 334522007; 408448072; -1; -1; -1; 97525059; 512586222; 118537869; -1; -1; 800526569; 30307075; 348747064; -1; -1; 136464898; 748810819; 83424468; 446062428; 203754766; 640080835; 244768716; 122294745; 339456625; -1; -1; 462352659; 800180879; 28817430; -1; 865107561; 500280920; 968885062; 841108983; -1; 496432342; -1; 246218470; 875349591; -1; 998942263; 217326742; 958797999; 491414325; -1; 140896897; 559278902; 125709557; 471892743; 60276938; 24458915; 690003224; 242893599; 998079192; -1; -1; -1; 280184567; 792818199; -1; 729354084; -1; -1; 939922184; -1; 940932945; 315746798; -1; -1; 1345227; 17861838; 904767963; -1; -1; -1; 297975029; 75984284; -1; -1; -1; 932607401; 768733744; 121539064; -1; 820864645; 72097184; 960802996; 506969956; -1; 748671665; 204372039; 360053105; 147878629; 400546571; -1; 950740550; 949936026; 692185257; 632460898; -1; -1; -1; 524515096; 594579450; -1; -1; 969447651; 66286772; 452000731; 561160476; 663942337; 570994199; 506144879; -1; 146620382; -1; -1; 846579803; 360497230; 279853062; 391317290; 412705883; 470491700; -1; 406782645; 860618932; 246195419; -1; -1; -1; 266803997; 571726413; 118106528; 56324080; -1; 831371531; 734685200; 764245462; 340419476; -1; 83722793; -1; 223646283; -1; 361261865; 416721590; 787009752; 972619661; 403167796; 42880680; 853927914; -1; 257714210; 910325464; -1; 372603094; 357501668; 471006292; 454234473; 56985896; 28192762; -1; 177902992; 280564307; 761260521; 99779820; 357711451; 739826045; -1; -1; 764756013; 419601543; -1; 498015988; 489834371; -1; -1; 382183927; -1; 403186678; -1; 907723670; -1; -1; 886210099; 756371435; -1; -1; -1; -1; 636058482; 568085305; 244718482; 212659098; 779586765; 553565481; 164589288; 811759145; -1; 779129134; 209064834; 662425012; 898058649; 753509587; 723592084; -1; -1; -1; -1; 220522119; 599089968; -1; 28220633; -1; 375450409; 221403956; 135181887; 764820093; 351486221; 489434014; -1; 638186212; 624709635; 175500522; 400183947; -1; 710927642; -1; 279342156; 295672090; 745502668; 520926366; 844587803; 486802818; 741594662; 478827714; -1; 847020853; -1; 641394822; 641222391; 950482955; 797756695; 347658363; 228822286; -1; -1; -1; 472824985; -1; -1; 381575513; 605565756; 551540175; 902877346; 211614679; 738204780; -1; 293618898; 371833772; -1; -1; 769488875; 363610547; 286527366; 367875560; 288709671; -1; 373882166; 214496690; -1; 337034684; 748278612; 604305475; -1; -1; 940332941; 741459169; -1; 665987416; -1; 975409987; -1; 895598710; -1; -1; 485568586; 215783482; 286955560; 428611599; 820568092; 245537225; 627889878; 198537616; 44813371; 502639504; 254813473; 360878598; 228317540; -1; 920298169; 828484213; -1; -1; 573948165; 579018127; 340229177; 524231646; -1; -1; -1; 262736129; -1; 293051643; 695544160; 627170441; 924161593; 880147088; 759806319; -1; 199476525; 814606316; 894570452; 110271978; 504619100; 792633580; 117125122; 887724294; 622596239; 929658231; -1; 739114782; 816884438; 870666577; 677725155; 573394902; 279621198; 254725079; -1; 517145373; -1; -1; -1; 743438561; 505866448; 269459648; 556029320; 219252885; 919699030; -1; 970668749; -1; 28985439; 796960697; -1; 331356650; 854977665; 239896088; -1; 281517348; 258725830; -1; 884847901; 479172706; 309589029; 477242964; 965824645; 707446280; -1; -1; 256500153; -1; -1; -1; 283104949; 978632738; 260611107; -1; 489306149; -1; 350899134; 954141428; -1; -1; 23387884; -1; 822247034; 518430497; -1; -1; 656676513; 187826307; 490489303; 989346531; -1; 876305827; 833786255; -1; 402994473; -1; 382150257; 40270921; 183182149; -1; -1; -1; 257365732; 538035212; -1; 901715907; 433362052; -1; 440202794; 300541950; 651808721; 845500371; 211675540; -1; 420549383; -1; 802074870; -1; -1; 629578417; 348485535; 295029135; -1; -1; 869644450; 591479026; -1; 951642517; 956898904; 849504430; 957638244; 751217112; -1; 656518220; 866726685; -1; 642619944; 118725012; -1; 675947434; -1; -1; 9203162; 67507851; 411847102; 974367486; 991311113; 865653171; 381660778; 2228462; 957971856; -1; 798211421; 855171990; 692593773; 198937401; 788469310; 395333358; -1; -1; 585039007; -1; 952391982; 631045767; 146717661; 778701220; 877230255; 345376451; 498972628; 172557215; 389308627; 716470942; -1; 145371187; 765330787; 933550284; -1; 564357744; 236728531; 468262323; 888669492; 125421247; -1; 466764278; -1; 862111118; 633687730; -1; -1; -1; 181559309; 621945555; 191672371; 505961453; -1; 565996077; 160984359; 107971818; 508584114; 246088470; 550668572; 640634662; 189195393; -1; 164421329; -1; 954019266; 912677260; -1; -1; 201779891; 711995489; 825012624; -1; 322714973; 357881982; 757477426; 47976496; -1; 912578619; 157694926; 546125146; 968082033; 603801327; 174980964; -1; 457767431; 94625367; -1; -1; 120894624; 78501141; 345002509; -1; 985291668; 571324478; 25580378; -1; 140117307; 837142012; 666051140; -1; 890750598; 531262421; 93614961; 116616314; -1; 672014086; -1; 472722268; 991769051; -1; 331950311; 897570561; -1; -1; 735789995; -1; -1; -1; 542954166; 794565243; 369202585; 286991696; 867731546; 965401321; 104648119; 590879134; -1; 518894694; 248557336; 76702956; 458385800; -1; 885266277; 605462254; -1; -1; -1; 934925369; -1; 944878329; -1; 755538367; 674550956; 76695853; -1; 148771103; -1; -1; 109859534; 361402402; 729914577; 634851236; 945429741; 183665683; -1; 458256160; 250056477; 397844602; 59447418; 590336505; 531260079; 897346863; 294966243; 272081446; -1; 228007282; 831268086; -1; 425810728; -1; -1; -1; -1; 49278007; 149828934; 335201924; 21482162; -1; -1; 544938906; 206075143; -1; 169049368; 545691374; 635541380; 464551092; -1; 509714171; 212114335; 617312606; 956416719; 511531437; -1; -1; -1; 455616365; 837076668; 461112220; 228272349; 610574895; 964179645; 835374227; 411036398; -1; 175724412; -1; 543953400; 116659807; 655339277; 600996094; -1; 546661474; -1; 435560842; 266587123; 798022115; -1; 870324038; 228720354; -1; -1; 169201732; 401161341; 299311266; -1; 694744800; 109368369; 152958654; 210144744; 158780993; -1; 501741319; -1; 250240682; 664093960; -1; 143307853; 798308572; 579161617; -1; 942335354; -1; 659576375; 849514025; -1; 924654658; 193858835; 952670937; 477179111; 138004277; 861284145; -1; 400294000; 437833269; -1; 676275575; 993909656; 978898721; 737920545; 904966510; -1; -1; 953474458; -1; -1; -1; 616039192; -1; 279186903; 16347618; 554835259; 331575522; -1; 724176367; 847079183; -1; 997822716; 694721419; -1; 465364465; 325274884; 133681300; -1; 856115154; 593120854; -1; -1; 195451600; 340439016; 107288021; 948413633; -1; -1; 284813540; -1; -1; 424825682; 423528964; 336719158; 87498470; 138642452; -1; 768198809; -1; 739822599; 566056118; 439313338; 656292235; 809007111; 815517164; 600859173; 29648508; 294783122; 514615319; 731964330; 185482343; 898967953; 708089192; 126754314; 906480074; 883134477; -1; 975105271; 100689121; -1; 278499500; -1; 253357153; 161177254; 954540185; -1; 392392043; 792029064; 990109520; 738877647; -1; 395401517; 705716740; 629222940; 329645385; 361711930; 743022246; 552396297; 916244941; 677800698; -1; 10252334; -1; -1; -1; 611739903; -1; 615521217; -1; 573995426; -1; 961806420; 175599184; 872591338; 293255319; 319868872; 470544838; 961750510; -1; -1; 349054296; 685013704; -1; 237729344; 278205038; 817307800; 812492590; 423099178; 302947681; -1; -1; -1; -1; 962490184; -1; 579852582; 899396897; 247399564; 987779347; 62822688; 165750012; 684039343; 999753648; 5269401; 909301219; 997083693; -1; 958581137; 45414084; 78803416; -1; -1; 779541645; 962763794; -1; -1; 304799302; 690222216; 772415345; -1; 349524646; 701244492; -1; -1; -1; 3460202; 291988761; 161058138; 304285647; -1; 225018188; -1; -1; -1; 873882332; 632509068; -1; 435106793; 126394504; 497724928; 583231467; -1; 397650375; 445204496; 508934441; 379679962; -1; 32382256; 797884285; 437626478; 658937732; 820271090; -1; 81738796; -1; 934710430; 567495833; 698786753; 304039948; 967457470; -1; -1; 712007880; 168733213; 623983033; 53807240; 913100658; -1; 566596605; -1; 730164569; 894931642; 209852297; 420935549; 390633138; -1; 707162059; -1; 846990357; 801618311; 767078012; 875167843; 977075675; 722744391; -1; 586717652; -1; 532350009; 29876642; 770617273; -1; 790557800; 605893917; 142978669; 571877036; 456769976; 324656017; -1; -1; 101216871; 412290428; 173217128; 145840519; -1; 338704661; 584434294; -1; -1; 776290408; 475456361; 23306449; 616958137; 64391388; 422462944; -1; 394389237; 46467296; 810127789; 906719499; 414117714; -1; 762965036; 598071719; 731185495; -1; -1; -1; 270080594; 262197771; 653171228; 314031642; 526264308; 986515713; -1; 242661296; -1; -1; 760207329; 470646438; 641721305; 612713969; -1; 117248175; 954277884; 929212775; 524981581; 409978623; 293290566; -1; -1; -1; 987297706; 889858280; 739839343; 832850606; 215328779; -1; 595252337; 220848457; 356016844; 650611305; -1; 10351620; -1; -1; 894279410; 645148424; 33179350; 80998847; 417721801; -1; 319055043; 964317456; -1; 949229870; 745190165; 413838170; -1; -1; 624995656; -1; -1; 888449159; -1; 360095124; -1; 924248370; 560806344; 414840044; 498696462; 428377172; 257353796; -1; 466703412; 766622673; 254090553; 548486022; -1; 616002357; 303552950; -1; -1; 711360054; -1; -1; 52316062; 507603972; -1; 611915794; -1; 129134048; -1; -1; 275436323; -1; 550836089; 847722102; 405151004; 494957204; -1; -1; -1; 770996299; 773422602; 668725399; 353134534; -1; 802727166; 251812890; 218060678; 315554025; 429079338; 22625319; -1; 382975543; 730454667; 525416027; 302962969; 574599695; -1; 548578479; -1; -1; -1; 811678167; 627014526; -1; -1; 221894319; -1; -1; 320781159; 351254998; -1; -1; 610265675; 988759692; 341043376; 739512694; 306042865; 249477934; 133413655; 830527609; -1; 520641621; -1; 691762218; 694819089; 299695692; -1; -1; -1; 864873506; 926724779; 854484284; 748095100; 613198545; -1; 658529117; 117675584; 588199549; 352872964; 504581545; 578824655; 719222045; 326322872; -1; -1; 521681991; 653558363; -1; 254082220; 309942639; -1; -1; 944528211; 287371537; 316711599; 522918252; 956854060; 8048076; 375425275; 837766045; -1; -1; 746978833; -1; 697068703; 652079701; 990998010; 691962489; 135183259; 556385323; 81014703; -1; 552713023; -1; 954693036; 875333999; 555686377; -1; 800956133; -1; 8008897; 801979486; 901469327; 394782061; -1; 314386196; 15880484; 370036973; 613263175; 712546568; 71920461; -1; 774198531; -1; -1; 450896318; 402343144; 45103102; 897300332; 461117006; -1; 960446109; 787544187; -1; 803505205; -1; -1; 993837826; 747660271; -1; 939544093; 582827486; -1; -1; 514675539; -1; 318377089; -1; 797601651; -1; 38037528; -1; 614241393; 718927512; -1; -1; -1; 148033130; 33636583; -1; -1; 412951910; 925906130; 52816924; 18765612; 500132901; 137150621; 715288175; -1; 4436988; 874004668; 578076892; 541219987; 598057232; 916047358; 815861198; -1; 369671291; -1; 871164061; 209057022; 819767446; 419903672; -1; 668367783; -1; 682866337; 83985017; -1; -1; -1; 228193876; 50576555; -1; -1; 370348114; -1; 23587823; -1; -1; 115035816; -1; -1; -1; 90431917; 950802146; 405927511; 885496008; 482620961; 599592777; 193958408; 750271397; 557528744; 11981848; -1; 625008295; 974612422; -1; 159720499; 491578368; 156512809; -1; 671086636; 467881934; -1; 101409062; 793237739; 395485410; 144472336; 755195360; 154670310; -1; 69712883; -1; -1; -1; 550959085; 1294728; 878824997; 411284969; 847908235; -1; 267732830; -1; 691505763; -1; 20997123; 700002068; -1; -1; -1; -1; 13960806; 408666832; 416139985; 104283263; 379513911; -1; -1; 502355541; -1; -1; 544642743; 932552542; 683765782; -1; 923206987; -1; 111374998; -1; -1; 941693554; -1; -1; 455331729; 272058228; 211336152; 162750126; 734239210; 495398323; -1; -1; -1; 95974677; 173691630; 4094779; 31794252; 251442851; 732697216; 128782151; 133435041; 321322496; 593217958; 55803112; 427504591; -1; 548311296; 625153843; 581441314; -1; 442137457; 221650535; 376753565; -1; 625077641; -1; 629970966; -1; -1; -1; 553203736; 404835811; 518043677; -1; 469621906; 39401396; 533254010; 622029263; 359853018; -1; -1; -1; -1; -1; -1; 822593417; 352956895; 913008841; 566983731; -1; 287863510; 327144786; 554615219; 824048635; -1; 588242176; 266592670; 409743763; -1; -1; -1; 850083146; -1; -1; -1; 896701368; -1; -1; 729658773; -1; -1; 558437537; 613816210; 328254029; -1; 908142185; 571215278; 605243537; 348036400; 195718909; -1; 58530190; 271885184; 579343201; 865958230; 462942737; 336129130; 95176262; 277124200; 110759967; 439817780; -1; 675701636; -1; -1; 428479352; 468099449; 338421524; 667631077; 431326353; 943287427; 715762067; 368230644; -1; -1; 606132336; 721028474; -1; -1; 145214003; 219012838; -1; 122657356; 822665136; 196375176; 454972490; 512012096; 284663401; -1; 854558605; 802234259; 558118153; 363270141; 941509423; 333307531; -1; 743883445; 586365572; 138429639; 207457884; -1; -1; 368742962; 620459029; -1; 408763486; -1; 963122351; 757035887; 112043562; -1; 233014350; 622651708; 477413268; 143458278; 457681438; 966772083; -1; 75597320; -1; 35020172; 976789183; 261277059; -1; 309937374; -1; 25283998; 47372882; 585033898; 193602852; -1; 380848234; 872101106; 108330226; 761220894; -1; 447492651; 43982813; 274901840; -1; 427907004; -1; -1; 216452237; 510063448; 316491576; 417319772; 95032365; -1; 894447327; -1; 377926428; 119754039; 362832373; -1; -1; -1; 50901188; 772895984; 416776957; 25904645; 192647178; 798535529; 428155061; 102947350; 58829491; -1; 269547583; 207870217; 268468868; 986168058; 2687845; 772749839; 794227696; -1; 223307257; 662575571; 556658170; 792675159; 403409746; -1; -1; -1; -1; 376426007; 853101276; -1; 103723102; 882777841; 768012796; -1; -1; 495547414; 629609388; 167612113; 496906721; -1; -1; -1; 670593453; 836225934; 485073757; -1; -1; -1; 881219019; 685947012; 480009819; 914102093; 857846770; 491802791; 219023427; -1; 530635887; 581724393; 630248676; 534484343; 969951344; -1; 590101948; -1; 614943441; 768811356; -1; 574583874; 233834821; -1; 567305683; 383334396; 417071354; 767523897; -1; -1; 693842458; 607265567; 937394301; -1; -1; 128931738; 260646076; 330502427; 601041645; -1; 273916076; -1; 132176576; 991286275; 504608664; 720229613; 146790159; 317373912; 555199722; 935292159; -1; -1; 889950880; 832214210; 974154081; -1; 560400613; 621367602; 939740146; 491095290; 372294899; 226142581; 99844754; -1; -1; 73531436; 842025398; 532698692; 696761103; -1; -1; 767585844; 949440090; -1; 598400563; -1; 528187912; 730946151; 99019323; -1; -1; -1; 98039305; -1; -1; 446089996; -1; 698666928; -1; 106176596; 919601190; 795753212; 713343903; 374037966; 692915403; 959956967; 476658116; -1; 18157616; 506666980; 890865900; 49922863; -1; 397619824; 334998606; -1; -1; 408638439; 657366815; 689706743; 431643036; 70898315; -1; 185314269; 965292613; 743247564; -1; 851310374; -1; 280771870; 700964071; 307412251; 442801888; 371341439; 656481732; 313208970; 44347858; 243360085; 293849189; 979899222; -1; -1; -1; 178840085; -1; 403298851; -1; 262733562; -1; 917034029; 196549506; 915933877; 920445977; 706838881; 191095466; 823765883; 92580722; 679363990; -1; 435154525; -1; 320386071; 248739830; -1; 189525752; -1; 394262803; 638550804; -1; 189480141; 864895171; -1; 302453357; 824808547; -1; 958054720; -1; 843275046; -1; -1; 820450730; 922320227; 556716075; -1; -1; -1; -1; 923704462; -1; 622854912; 849080369; 442178888; 75120771; 627746543; 95830332; 357700293; 319189051; 560776578; 848482169; 204434577; 463742232; 908752883; 222844041; 84970027; 790580030; 193168629; 734611198; 46791498; 867912291; -1; 521717572; 846488557; 377348143; 312948392; -1; -1; -1; 584169608; -1; -1; -1; 714100086; 762639090; 837075361; 405916101; 486355663; 726425950; -1; 873967300; 821145145; -1; 221307502; 869383804; -1; 683320247; 647597985; 689566416; 481459145; 538235165; 476497783; 455817887; 640662438; 677006254; -1; 182739125; -1; -1; 753555319; 3697355; 190571196; 52870133; 250541927; 848960072; 73220870; 470025719; 746470795; -1; 191921026; 970627601; 304508996; -1; 667358772; 295946824; 50253717; -1; 691127164; 400807044; -1; 214619923; 990887151; 143795476; 785135937; -1; -1; -1; 9202449; -1; 343976903; 159310639; 102775080; -1; 128062613; -1; -1; 978407103; 663534554; 966599172; 843547269; -1; 315800532; 570160417; 600472328; 646753100; 570628745; 798269703; 920115793; 502914931; -1; -1; -1; -1; 547597925; -1; 318955816; 185136783; 917905537; -1; 810144086; 208054636; -1; 340931691; 75606745; 968798139; 184310488; 591307683; 753740124; -1; 129130654; 930223293; 518061348; -1; 656227879; 745814517; 466161411; 416988620; 688389121; 536160099; 706586894; 151188614; -1; 165059402; 696158652; 773880366; -1; 224807802; -1; -1; -1; -1; 151488862; 981518839; 917368832; 965486179; 847392555; 91191736; 770101611; -1; -1; -1; 109144288; 492064920; 745889517; -1; 5141910; 84220172; -1; 500101096; 225273358; 618325857; 927238895; 377741861; 733930528; -1; 882437177; 978486648; 769463531; 728015218; -1; -1; -1; 16496176; -1; -1; 963454836; 777744317; 724009958; 856055953; 43617885; 261077860; 959418031; 393188365; -1; 9804002; -1; -1; 229540222; -1; 127742957; 551438649; -1; 46893242; 14271076; -1; -1; 48092620; 449940122; -1; 281872049; 381004161; -1; 753243694; 651997028; 430218395; -1; 24893516; 841821335; 557124076; -1; -1; -1; -1; 808489735; 958416338; -1; 363942909; 939453534; -1; 226987171; 968575148; 94413529; 872841941; 143258210; -1; 36935441; -1; 272739800; -1; -1; -1; 266837360; 964911170; 409673895; 346270663; -1; 417719952; 829301581; 119223776; -1; 781879609; 829512140; 778870053; 400934016; -1; -1; -1; 467571680; 537986616; -1; 818462781; 710087431; 32520790; -1; 762130841; -1; 728741764; -1; -1; 167173395; 652396108; 138987382; 815383692; 297776036; 965181470; 746799868; -1; -1; 352387574; 328971531; -1; 165826950; 566576227; 918894152; 253901135; 889145308; 48840020; 695047616; 762248024; 145750521; -1; 403547036; -1; -1; -1; -1; 137309930; 849553943; 244719077; 267275865; -1; -1; -1; 727581760; -1; 978449550; 130443570; 872387992; -1; 82618332; 618446764; 470363874; -1; 666493446; 778358142; 913981817; -1; 742156488; -1; 19989364; 834590867; 917851694; 188308154; -1; -1; -1; 791517497; -1; 980847117; 548730196; 455457071; -1; 30915216; 69614427; -1; 888517443; -1; -1; 313313172; 767092020; -1; 374437771; 549653026; 411168930; 778415947; 998374051; 453596322; 11446014; 78870965; -1; 344266928; -1; -1; -1; 739461972; 609539054; 792507348; -1; -1; 365573341; -1; 387134621; 251111283; 704929997; 578499144; 693759850; 170624414; -1; 624815799; -1; 244594629; 6049709; -1; -1; 387851486; 450872304; 496899531; 634478692; -1; 699393281; 951715730; 933284361; 98098042; 14615095; 964971937; -1; 304716861; 229665556; 543730582; 893469238; 806615498; 872211005; 684946878; -1; 673707914; -1; -1; 375627409; 819154681; 654786361; 15576142; -1; 311391778; 189836540; 870804143; 699423061; -1; 583737001; -1; 241475917; 732061342; 567253597; 661838365; 866645114; 430323553; 154796086; -1; 189784691; 174394032; 114159743; 478022016; 330404611; 73549469; -1; 308979051; 421166096; 317183020; 339105558; -1; 93521064; 609244450; 355617488; -1; 14085242; -1; 20759826; 717610188; 430770693; 905116887; 27512232; 495545654; 884410206; 96389628; 528197728; 715476379; 333709635; -1; 784295755; -1; -1; -1; 582701548; 150272502; -1; 871113097; 166567128; -1; 171762905; 770029742; -1; 798345104; -1; 872967987; 308654241; 615760630; 559248487; 784625273; -1; -1; -1; -1; -1; -1; 974835182; 843017809; 334413963; -1; 74587387; -1; -1; 141097209; 289200037; 213357258; 531161898; 964558982; 576839873; 749049650; 165825689; -1; 527009012; 436555289; 277727215; -1; 22119505; 705438046; 134555802; 150998933; 478197793; -1; 638976847; 183045189; 248686350; 141697721; -1; 534374715; -1; 87234991; -1; 150011623; 327497275; -1; 391661143; 424391431; 615975771; 186908907; 146342206; 636367559; 29094425; 548130454; -1; 766218267; -1; 94009280; -1; -1; 596939754; 162410430; 698175250; 834901779; 561388032; -1; -1; 979440601; 963502699; -1; -1; 377611218; -1; 705154416; 610019516; 666295863; 264299160; -1; -1; -1; -1; 558105485; 239522707; -1; -1; 415873013; 564579447; -1; 602884928; -1; 337955270; -1; -1; 200239968; -1; 163669228; -1; -1; 138699410; 363692612; 961633031; -1; 131735428; 682232798; 936788938; -1; 955078709; -1; 800963546; 943502673; 587689440; 858456176; -1; 179398600; 650882988; 916996609; 156323574; 267004185; 135485910; -1; 597423858; 489671458; 73298982; 335206760; 574035057; -1; 916277374; -1; 274249810; 627520890; 884141042; 258176519; 149017011; 140653733; 379602908; 637015033; 445504604; 937141159; 360990698; 910058220; 916738215; 931681705; -1; 670672292; 384969755; 231344031; -1; -1; 213082483; 527038561; 808043907; -1; -1; 948312821; 151581398; -1; 438101769; 493074597; 428308743; 174108568; 9715073; 321622541; -1; 934763531; -1; 189011808; -1; -1; 637037039; 115685632; 760069608; -1; 83524772; 71637709; 893032989; 772892291; 54247940; -1; 213948742; 596444019; 111296680; 362276617; 195903849; 96036709; 127925360; 70289765; -1; 31098327; -1; 237171893; -1; 765399773; 573770790; 33602771; -1; 934831593; 569821162; 446014501; 841565298; 461398700; 909168691; -1; -1; 719951126; -1; 563557318; -1; 722818749; 937221807; 70598689; -1; 909563797; 612723570; 388075509; 415021259; 308227049; -1; 254944457; 681387701; -1; -1; -1; 858531470; 204643228; 705109961; 290337074; 752951651; 336314235; 34172024; -1; 767139349; 649525338; 887347500; -1; 551559093; -1; 620365875; 36773022; 450572985; -1; 787552017; 903305123; -1; -1; 247212883; -1; 956211407; 922665504; 510391875; 463489812; 964441574; 291776290; 391469176; -1; 903372923; 729247887; 472760668; -1; 413509998; -1; -1; 110850137; -1; 993342007; 544912448; 958423854; 860368155; 517079303; -1; 330141399; -1; 809200700; 704222961; -1; 999460748; 289612862; 21898560; 3154982; 883838465; 36095896; 106118091; 618766547; -1; -1; 806147207; 961254926; -1; -1; 427659889; -1; 603082348; 307418908; 529978377; -1; 614982087; -1; 498893817; -1; 615879499; 688304523; 589164391; 158261617; 227507678; 721699449; -1; -1; 82229735; 815564528; -1; 933540439; -1; 150265674; -1; 92953229; 454988188; 67250523; 782277867; -1; -1; 445331084; 723332132; 348934796; 347797129; 650435280; 81802128; 330778031; 270268684; -1; -1; 943080928; 549011944; 488333257; 776323847; 760627559; 228067378; 109878025; 717720217; 13082769; 825971318; 371362384; 961217189; 634299327; -1; 24114342; 842608565; 298921438; 509971291; -1; 769712981; 935263018; 249654222; 830518422; -1; 992142734; 369274225; 547183563; -1; 966738456; 718089890; 996424916; -1; 199425792; -1; -1; 901927641; 471361230; 292880239; 272618589; 613816465; 624742951; 180588; 949410400; -1; 181840307; 300087090; -1; 749121851; 404441409; 430932650; 249744410; 410222150; 831452303; 556998747; -1; -1; 993611979; 963134383; 737939324; 114407405; -1; 124500966; -1; 667296479; -1; -1; -1; 335537903; 123450775; 493776821; 632890541; 396492455; 361798651; 91439383; 384254861; 358392325; 547578476; -1; -1; 916475853; 135075327; 373534656; 178793816; 570258919; 238800517; 922756736; 584412807; 38623730; -1; -1; -1; 355338721; 735940021; 643218886; 786055759; 673730751; 77940862; 55613321; -1; 691452659; -1; 921857784; 405163823; 695282172; 589475341; 935700148; 944110531; -1; 505947730; 691303791; 719353131; 1169133; 634863507; 994182556; 611208864; 482422340; 633905508; 910991602; -1; 377735946; 830838552; 821293997; 286070124; 76300287; -1; -1; -1; -1; -1; 250693453; 539601244; 463656834; -1; 839311042; 518533529; 729443943; 576330095; 245854167; -1; 39970392; 520913626; 939210733; 680764342; -1; 417527363; 45670794; -1; 130268450; 158685601; 106500340; -1; 188436970; 605813071; 520436720; 425270477; 60787715; 878415843; 297109703; -1; -1; 51257426; 791838634; -1; 56615649; 601421063; 886668794; -1; 226617367; 30446093; -1; -1; 84117199; 336428382; 476425302; 806276603; 635269061; 976711131; 393512269; 398576752; 987047775; -1; 119124753; 6453745; 493464678; 816783271; -1; 438635213; 503999872; 658139834; 499887584; -1; 260436443; -1; -1; 640806241; 663688446; 540610780; -1; -1; -1; 783727675; 966635981; 642211850; 623910461; 519183197; -1; -1; -1; 575737187; -1; -1; 276535326; 100012586; -1; 871121016; 673702333; 888870759; 64322621; -1; 719148956; -1; 845628203; 762674576; -1; -1; 901188001; 504316895; 762120716; 652040307; 77745376; 406637575; 228304280; -1; 833035194; 255798696; 904594717; 541330552; 112780532; 331738; 651396462; 43943640; 916275643; 763142538; -1; 960570886; 444218311; -1; 853813495; 19618184; 360928061; 304091445; 22533429; -1; 404749660; -1; 457586273; 182379357; 71962566; -1; 459846456; 641679383; 449662645; -1; -1; 203887931; 18400948; -1; 431952138; -1; 18537168; 514762811; -1; -1; 696093938; 945379534; 825994408; 595334828; -1; 163906539; 766340976; -1; 953889250; 811192495; 489602600; 197443736; 935687297; -1; 804371038; 715514228; 44012038; -1; -1; 117134207; 69182071; -1; 900285587; -1; 115394421; -1; -1; 623366948; 623663456; 595135492; 808511325; 157894422; 732682524; -1; 255499422; 773884505; 525667000; 187143586; 975222211; -1; -1; 653270358; 343023485; 995711724; 490632655; 692368994; 768132063; 237513651; -1; 168580923; 315679629; 57166166; 449509544; 816509785; 267406732; 760825636; 720773152; 421047136; 461411850; -1; 499793835; -1; 611069179; 661667882; 367177361; 66048474; 899574872; 542341410; 620198256; 446050244; 769855260; 920774364; 672305655; 1514192; 966877338; 345807458; 355529632; -1; -1; -1; 245616733; -1; 211068090; -1; -1; 772230515; 926139307; 749383737; -1; 579589659; 312906500; 25337042; 784079498; -1; 694855289; 345395175; 828455339; 487023178; 907260979; -1; 772936432; 515338158; 466148012; -1; 446511380; 20558700; -1; 84692344; 484566570; 165492861; 846817533; -1; 860685168; -1; 793258314; 258399503; 803238343; 107078480; 695725937; -1; -1; 75667888; -1; 75036491; -1; 596209362; 10404077; -1; -1; 305314157; 852238042; 483207092; -1; 204604924; 45742555; 707967547; 148028882; 234977479; 414070853; -1; 5578475; -1; 163154795; -1; 364329660; 76847014; -1; -1; 853557745; -1; -1; -1; 835929852; 434823903; 361389262; 89392432; 264761866; -1; 769680436; 617165267; 171459090; 633961497; -1; -1; -1; 605793972; 220388877; 825060012; 541438434; 410931234; 808536960; -1; 852489797; 341263213; -1; -1; 183041313; 865052910; 381888154; 197969588; -1; 731816147; 338449336; 259349975; -1; -1; -1; -1; 777717602; 122628932; 656804350; 167592817; -1; 66645470; 306410703; -1; 429585331; 810944080; -1; -1; 421056405; 507224213; 96651934; 514551331; 688901027; 585862577; 137549826; 101328512; 733344452; 174310820; 938287338; 256677453; -1; -1; 989393480; 451893419; 6053335; 130396429; 686281283; 793081877; 823024184; 702016584; -1; 288524105; 195141907; -1; 694905210; 189564302; -1; 831081414; 519344894; 560077800; -1; 711010325; 718762421; 710980314; -1; 711430322; 330252631; 224223808; -1; 355844343; 988775742; -1; -1; 908016575; 855254324; -1; 103003064; 957666870; -1; 639053746; -1; 155840485; 910690994; 533301654; -1; 746064844; 423246565; 291214962; 192952843; 954239872; 222357876; -1; 563363441; 605660013; -1; 49342349; 248604585; 784007996; 216698593; -1; 443459834; 869646186; 351306900; 385383695; 752499355; -1; 517933717; 333174429; 590270815; -1; 728600099; -1; 939812874; -1; -1; 118214781; 5243694; -1; -1; 675772346; 909651951; 681587207; 28654889; 744722544; -1; -1; -1; 361634698; 865826953; 477389851; 593115657; 686235483; 790029130; -1; 140401395; -1; 350999033; 184584659; 941446749; 644205638; 287644265; 554713547; 7643158; 68172488; -1; 96941472; 262623493; 405241405; -1; 592076349; 928434880; 277635200; 292927370; 738447700; 573204323; -1; 292869727; -1; 536623112; 359805849; 264633442; 253022804; 512765297; -1; -1; 286988929; 273746976; 215369189; 889610026; 559293164; 871681754; 76400412; 513323191; 575496963; 935990929; 851785218; -1; 716622021; -1; -1; 999981484; 831764258; 728798211; 233250896; 915670035; 845886062; -1; 105718903; 125938540; 108732085; -1; 545596935; -1; 588698720; -1; 3829167; 993220180; 226432413; 632562881; 729177639; -1; 312668559; 344204821; -1; 4095221; 374424030; 258150489; 282013192; -1; -1; -1; -1; 873193308; -1; 474841217; 266264914; -1; 27494772; -1; 928736673; -1; 583922291; 74888170; 143541124; 426419945; 434136964; 863329131; -1; 353569746; 309172512; 762672712; 143306245; 987645983; 563546102; 485066174; 970507048; -1; 534481921; -1; 303005476; 393848803; 479891858; 375217967; 664046618; 385297206; 577924652; 433032491; 619668772; -1; 166713256; 818680139; 523978845; 94530436; 610638692; -1; 144724677; -1; 43730478; -1; -1; -1; 258855916; 975177668; 910525224; 740768636; 69453109; -1; 602880575; -1; 617432809; 808081830; 149722759; 124901451; 725801099; 791750896; 62566280; -1; 581461879; 794118445; 812360105; 544764831; 739296786; 335413379; -1; -1; -1; 280873233; 76916490; -1; 653705316; 999528684; 583467727; 166823279; 701525190; -1; 711659241; -1; -1; 520803345; -1; 337831663; -1; 466797050; 796914943; 530442786; 687659186; 235420562; 361562313; -1; 504699346; 83037422; -1; 591870158; -1; 545570077; 538163910; 487786580; 591554303; 374743697; 178540775; 261636029; -1; -1; -1; -1; 915486247; -1; 758283019; 131371448; -1; -1; 704747483; 890159337; 953021669; -1; 624806385; 659158712; -1; 300706112; 563280824; -1; 44280269; 748925361; -1; 312509884; 42871623; -1; 589886169; 996536372; 252909913; 357887006; -1; 95888404; 427136269; -1; 320896956; -1; 36728260; 889689833; 907395033; -1; 778221336; 112542808; -1; -1; -1; -1; 334732863; 128339856; 869573282; 600917749; 87748328; -1; -1; 553745935; -1; -1; 787268029; 74607435; 585485050; 147119283; 229795866; 835285621; 972128853; -1; -1; 935968338; 756776486; 40264678; 798333073; 131167823; 74758740; 384853274; 358391258; 113390794; 236387702; 638946236; -1; 389328305; 180887566; -1; -1; 400668133; -1; -1; 704961360; 157083242; -1; -1; 511571983; 321195931; -1; 182721195; 139585040; 762782419; 498233794; -1; 642781493; -1; 654066927; 268394412; 87120896; 566560081; -1; 624856103; -1; 770250658; 740931651; -1; 989522574; 575916733; 372699931; 403927877; 493846713; 496757529; -1; -1; 669487898; -1; 434992709; 878917916; -1; 861923176; -1; 876446201; -1; 653748121; -1; -1; 803586959; -1; 985179420; 284732126; 656543384; 535624589; -1; 973270861; 249036140; 793948761; -1; 371713482; 358897394; -1; -1; 451784095; 33366644; 632000064; -1; 831464415; 637066032; 468152811; 576162730; -1; 765542464; 197367813; 671607546; 688158093; 973456591; -1; 418118768; 979796721; 176313866; -1; 57405290; 401544711; 465740943; -1; 816991660; 314492624; 178799971; -1; 414041814; -1; 824228259; 262309043; 887074010; 255977416; -1; 159808859; 405927007; 84565906; -1; 299466208; 329631898; -1; 766827912; 616350734; 444403957; 663790392; 435737308; 580285435; 219977667; -1; 297597630; 42550253; 281767172; 839542164; 936155818; -1; -1; -1; 37225610; -1; 248686554; 139159024; -1; -1; 665690770; 658136066; -1; -1; 564595930; 147625921; -1; -1; 46694630; -1; -1; 726432965; 199338927; -1; 691679572; 42435234; 543472150; -1; 220762394; 506933446; 790254463; 980312569; 351919370; -1; 804752196; -1; 419374312; 994063846; 631764227; 344774356; 68270788; 473713317; 1737883; 648153490; -1; 467259144; 621984497; -1; 887943894; 365360507; -1; -1; -1; -1; 391198017; 699391697; -1; 535048518; -1; -1; -1; 312521776; -1; 933925793; 309719684; 543842662; 801198404; 29567712; -1; 981283767; 35379414; 197819317; 616838560; -1; 677646454; 965421987; 894307441; 655637080; 206036527; -1; 481745911; -1; 470227832; 49788794; 692855852; -1; -1; 463181365; 997337449; 562392775; 746154047; 734547100; 408972764; 423054814; 908366648; 221431185; -1; 754528645; 948498367; -1; 253487458; -1; 750993957; 906049374; -1; 178057806; 130908526; 207732519; -1; 749803265; 560862666; 560003362; -1; 897931364; -1; 426892931; 642815404; 555837528; -1; 864151866; 558846393; 317405232; 737902006; 402041581; 79685648; -1; 322959753; -1; 243656336; 443555661; -1; 491443699; 126728290; -1; 636279323; -1; 133391230; 512909486; 328174786; -1; 546371287; 436310215; 430654241; 107313380; 127029161; 349678470; -1; 104444818; 152022558; 580000580; 650082639; 333195945; 729831847; -1; 506405240; 47451072; 429770760; 865323977; 233445823; -1; 154310917; 652715634; 750173993; 660071025; -1; 90844238; 674063851; 955415082; 493414658; 292935773; -1; -1; 999279260; -1; 431294298; -1; 101925923; 838541909; 293240109; 902155388; 414580981; 743150752; 549198676; 350199603; -1; 956394040; 880460802; 744165092; -1; 95758889; -1; 468934606; 658842656; -1; -1; 140528994; 625631655; -1; -1; -1; 751340464; 766070106; 302870740; -1; 332984066; 785548323; 96560726; -1; -1; 898554865; 968406010; 626976276; -1; -1; 678135245; 669356529; 746274787; -1; 391858734; 458064596; -1; 172605739; 885708591; 415363297; 349926752; -1; 415778603; 731735305; 112693381; 192958534; -1; -1; -1; 565860840; 704108047; 908534935; 516890628; 179537229; 561203405; 423475682; 697892213; 32178748; 82159059; 45059740; 407437643; -1; -1; -1; 957867263; -1; 698874919; -1; 298129937; -1; -1; 860869879; 463425633; 62408123; 545493866; 341133815; 861678202; 230457364; 681974778; 257971239; 254942643; 514896308; -1; 763146645; 791009286; 497078805; 677287841; 266488265; -1; 222679268; -1; 441758085; -1; 815831013; -1; 229378878; -1; -1; 274464101; 96307504; -1; 339454798; 455363159; 268062544; 357751379; 511392167; 655381582; 468584656; 133686148; 586349618; -1; 520286986; 302022740; 264649108; 88326239; 19775643; 130564730; -1; 325927981; 281202881; -1; 22756843; 427186739; 771816077; -1; 203254748; -1; -1; -1; 861550355; 87050900; -1; 330151316; 288827472; 288840918; -1; -1; 685000997; -1; -1; 202706850; 826381144; 995100557; 818436003; 274759109; 728652849; -1; 323414450; 830594627; -1; -1; 527911204; 123583446; -1; 481606685; 725866408; 715759615; 400331545; -1; 706315069; 845296107; 597468398; -1; 361733905; 124618751; 563692787; 201740616; 795995319; -1; 678712117; 174290779; 760936904; -1; 501602489; 218892690; 234318317; -1; 803792746; -1; 143121436; 451768559; 886238597; 199820265; 979509369; 805349709; -1; 43269560; -1; -1; 810522987; 558301519; 329767055; -1; 420147053; 686863141; 468345997; -1; -1; 723045049; -1; 759609662; -1; 638077765; 506159286; 808786995; -1; 391090269; 650256354; 151052945; 543217355; -1; 582471469; -1; 148843489; -1; 861986260; -1; 988393879; -1; 746258626; 5807489; -1; -1; 341436706; 262750349; 486473032; 215508178; -1; 904451371; 984777685; 136851847; 128185228; -1; -1; -1; 685366554; 221866105; -1; 948927089; 988517772; 412120016; 917611069; 106140563; -1; -1; 473250109; 697621931; -1; -1; 446172600; -1; 700623758; 927932017; 988047318; 629183150; 218752110; 276277069; 555892955; -1; -1; 901917415; 484064698; 872746064; 774686274; 128638212; 548213286; 137585735; 729565336; 549235501; 749208858; -1; -1; -1; -1; 876251480; 225448494; 232333694; -1; -1; -1; 356207538; -1; -1; 666765753; 853709335; 629520839; 9977999; -1; 347952231; 842342373; 263634048; 114471253; 301469388; 946571816; 525479594; 485690876; 863002190; 385478528; 819356476; 34830335; 889684904; 364497067; -1; 669160219; 959808030; 513734489; 472976856; 952865064; 245237102; 52312099; 671771346; -1; -1; 936391264; 261807135; 183180926; 315314153; -1; 776886892; 782155069; 162927268; 456127581; 453472538; 999538334; 483151514; -1; 230783274; 393650388; -1; -1; 309501785; 254948291; 609106487; -1; 315549670; -1; -1; -1; 891237443; -1; 302557629; -1; 607350089; 322887530; 596647448; 729002118; 702223386; 981987385; 33536432; -1; -1; 508144414; -1; 990304004; 560138178; -1; 99574178; -1; 798004856; 324064337; 491668482; 182092055; -1; 181824174; -1; -1; -1; 176830700; 165884945; -1; 295793902; 526594823; 729155795; 413021763; 880909762; -1; 548199151; 603879468; -1; 3236422; 531693208; 100060793; 368959156; 598753744; 898373488; 770716126; 957570469; -1; 934753362; 117075346; -1; 984063222; 71661652; -1; -1; 442028665; 691812743; -1; -1; 65415424; 799596288; 707181804; -1; -1; -1; 414697738; -1; 924894915; 273713923; 639315965; 424228820; 218765460; 42278577; 989130867; 822643898; 386432856; 425485594; 914557508; 328535570; -1; 389413071; 647395653; 670985943; 376273463; 217963304; 797912923; -1; -1; 839706859; 526181500; 577276536; 219274997; -1; 277191424; 691189215; 321509529; -1; -1; -1; 238643897; -1; -1; 829308623; -1; 944470713; -1; 438192383; 876468631; 256362629; -1; 120934677; 700880721; 656392175; -1; 117034470; -1; 462240356; 712652001; 192378373; -1; 443751406; -1; -1; 609462902; 680925226; 563386728; 632178487; 63470897; 691452226; 242327477; 735906432; 107588900; -1; 366132907; 916077768; 858868680; 75938018; -1; 362972535; 840640194; 64959918; 647339404; 554433497; -1; -1; -1; -1; 20471517; 42705629; 869105706; 6286717; -1; 227034575; -1; 712559913; 184266636; 127047177; -1; 944001388; 739345627; 52451792; 692281976; 210853891; 845091235; 752226700; 392614178; -1; 39605162; -1; 891614500; 299218382; -1; 354629962; -1; -1; 26090095; 599190785; -1; 686314028; 824928884; 284455863; 816893020; 340670035; 715884336; 287375417; 943041129; 859876948; 859326769; -1; -1; 503934313; 713603460; 815932531; -1; 154793641; 873891377; 216210124; -1; -1; 919602116; 375101825; -1; -1; 226628095; 130646418; 769792442; -1; 410442324; 776033241; -1; -1; 445202767; 285395530; 964084140; 591111022; 642481099; -1; 64323560; 996017532; 642986691; 435817131; 398546466; 351752901; 341822890; 74109017; -1; 298391656; -1; -1; 697095515; -1; -1; 388795077; -1; 865046296; -1; 952352000; -1; 855204089; -1; 343846935; -1; 800299846; 276209017; -1; 939887484; 389579669; -1; 107246660; 271250474; 849512811; 223380297; 694270289; 880510609; 717452895; 850164857; 62312027; -1; 254247465; 809547818; -1; 755318256; 626502874; 366884382; -1; 569878250; 484558244; 311272134; 496049668; -1; 900132383; 543479308; -1; -1; 428648633; -1; -1; 311227371; -1; -1; -1; 820075533; 135322495; -1; 235510643; 162702443; -1; 782507921; 228280723; 876635056; -1; 656051459; 357313049; 361529316; 942765578; 416140568; 564010770; -1; 560510472; 600691625; -1; -1; 336723635; 115775593; 786914557; 646990400; -1; 425197321; 64642360; 309210808; -1; 986815754; -1; 813613297; 26297967; 242743232; 37963550; 146098945; -1; 945489457; 366497234; 904227163; 810435380; -1; 166736599; 76512515; 234839942; 335132728; 222080152; 424977963; 284535196; 382083682; 803185773; -1; 908247540; 344310811; -1; -1; 75021208; 449586576; -1; -1; 332207562; 245318433; 538178849; 334200627; 221617417; 908183243; 76949166; -1; -1; 87582509; 977238093; -1; 621940177; 590766444; -1; -1; 954567173; 165455164; 386909196; 404424979; 802835957; 902379454; 49046262; 285667790; -1; 188633380; 402299769; 454252183; 936306260; -1; 995512416; 369619883; 750079734; 357859136; 331918490; 725496804; 13263265; -1; -1; 164272127; 867787220; 955365026; 735782043; 483554702; -1; 586785796; -1; -1; 797315952; 996960223; 401988405; 719471598; 896239675; 459451150; -1; 165861879; 201527199; -1; -1; 384710933; 523704285; -1; 896665742; 384215020; 673419672; -1; 828008766; 166879788; 263926464; -1; -1; 134601160; 106206435; -1; 788561830; 290782874; 646239073; 582365836; 860452685; -1; 781333585; 315306133; 225979061; 109573147; 212564846; 927334083; 334541200; 280896999; 64800683; 959741293; -1; 269574183; 383513483; -1; -1; -1; 856909992; 555862498; 121280075; 481553151; 196489076; 416476972; -1; 182464154; 569228895; 224446123; 194396922; 77619117; 850138209; 372126697; 920090678; 788678516; -1; 746061185; 971473703; -1; 72113402; 484471417; 330683908; 505255326; -1; -1; 302764007; -1; 767148059; 752901992; -1; -1; 807717516; 746369694; 314313055; 633873692; 926784079; 947043173; -1; 355757123; 967332723; 319219390; 717878192; 60048691; 89289547; 832162283; 113653815; 82894025; 411304189; 464112778; 896811576; 623480651; -1; 68655798; 553439034; 14693044; -1; 404431860; -1; 446318192; -1; 971299532; 544397487; 783723003; -1; 724282624; 278735136; 765421956; 98860444; 583673257; 444496161; -1; -1; 708527551; -1; 559111134; 115221241; 387005902; 492350173; 579125804; 145886422; -1; -1; 380941249; 385432660; -1; 101052471; -1; 419949273; -1; 145275815; 231408017; 553401091; 225298307; 584155668; 764561940; -1; 273508856; 544180574; 987418693; 659522967; 468281014; 622867142; -1; 237947226; 434514243; 530532550; 779609607; -1; -1; 762444439; 77638682; 364154388; 857082902; 680964961; 806858941; -1; 558835883; 736594030; -1; -1; 3741120; 505157689; 227383904; -1; -1; 101289668; 400682741; 870543042; 561201960; -1; 687282843; 510720593; 771729014; 675523001; -1; -1; -1; -1; 623668146; -1; -1; -1; 172670205; -1; -1; -1; 603463763; 487440461; -1; -1; 367603657; -1; -1; 181765954; -1; 555604705; 247339093; -1; 892198862; 105675008; 592049987; 648282062; 100489171; 791227317; 615304826; 541405390; 410495159; 187438893; 855652033; 363174563; -1; 331766442; 66606385; -1; 695310178; -1; 900717594; -1; -1; 640496666; -1; 395492001; 342329302; 7280887; 549450631; 845184728; -1; -1; -1; 500626622; 824163571; -1; 703311653; -1; 210829893; 2978932; 637126607; -1; -1; 36324531; 253087628; 359779503; 551235053; -1; 949252450; 635722420; 933790656; 296714851; 989686582; 633150066; 82784607; 229196942; 188522669; 583761509; 175913565; -1; 540016376; 420849193; 213047306; 979119487; 185912477; 146031571; 953729960; 484661549; 270494706; 975725534; 326993262; 915950634; 405910817; 969390205; -1; 906252117; -1; 104090491; 513523757; 65964710; 354316691; -1; 548221963; -1; 375521853; 923999415; 824906354; 123034711; 722271811; 384365385; 368109416; 313868771; 602370304; 369281470; 295778715; 142667216; 94693677; 684860397; 97271139; 193665513; -1; 108767493; 915201054; 961306618; 537897650; 767463079; -1; -1; 346130721; 732647698; 622728204; 507526987; 611701846; -1; -1; 920320684; 762744879; 534281915; 458715152; 274289700; 599819997; -1; 284281500; -1; 10033890; -1; 218867621; 746734206; 437047872; 121321022; 782156045; 619588532; -1; 832310737; -1; 834616849; 343255590; 455912267; 921665652; -1; 41641819; 921238895; -1; -1; -1; -1; 890271246; -1; -1; -1; 742946516; 648656370; 762784086; 43570265; -1; 395884916; 784025047; 165179150; -1; -1; 38888891; 124022709; -1; 982201269; 340186795; -1; 105946453; 833459313; 145126607; 453001866; -1; 286979571; 405479163; -1; -1; 994618021; 12679223; 406324971; 346468154; -1; 864485733; -1; -1; 715003100; 459581995; -1; 910241309; 613518898; 811177451; 711508746; 895980983; 934861654; 389543811; -1; 716141262; -1; 4227149; 663469847; -1; -1; 160228754; 544313348; 361031707; -1; 81965939; 525801608; -1; -1; -1; 284715854; 58319835; 855014844; 882327050; 890847766; -1; 532341026; 337371498; 910403293; 545894704; 226205502; 68895553; 501297698; 59133207; -1; -1; -1; 500103159; 150393493; -1; 264238653; 220876810; 769891550; 191628632; 239812689; 554213637; 853553154; 807725954; 938727740; 78292902; 298689031; 911550252; 302547369; 977934098; 360963095; 877867498; -1; -1; 879730692; 498618967; 243956970; 924879525; -1; 529644019; 356499556; -1; 719189778; 339112076; 23410237; 389135179; -1; -1; -1; 602056925; 845017020; 250056203; -1; -1; 494051139; -1; 720236436; 66852841; -1; 443430871; 566064313; 764506013; 443151872; -1; 819978255; 603103363; 475261569; 369409301; 640099608; 628439060; -1; -1; 721935387; -1; 729843611; -1; 691260790; -1; -1; -1; 526231609; 782767081; -1; -1; 419891042; -1; -1; -1; 586557602; 291945871; 291389761; 991616606; 499078838; 919326862; 507486954; 432002001; 606473293; 16662692; 808131335; -1; 563530044; -1; 225970652; -1; 884922218; 193223961; -1; -1; -1; -1; -1; -1; -1; 714238597; 105145438; 247297541; -1; 968306157; -1; -1; 453118692; 870496458; 714863085; 821704539; 141208025; 846850669; 775875425; 547195419; -1; 912588673; 813082572; -1; 637471838; -1; 749808831; 984732071; 813157429; 469398817; 3033861; 350932900; -1; -1; -1; 185626955; 390098431; 624468002; 872311678; 606850685; -1; 583318159; -1; 283629786; -1; -1; 311330004; -1; 867660620; 483098134; 993944774; -1; 348410350; 148789984; -1; -1; 835282265; 305382841; 142539910; 234949786; 759296393; 731749357; 941704535; 730749196; -1; 537950139; 119761668; 587310822; 399292596; 243006501; 475207216; -1; -1; 289256348; 267847373; 694920316; 978560537; 433153378; -1; -1; 163935530; 910675471; 340960353; 323276819; -1; -1; 893538749; 296903572; 194425390; 790631181; -1; 860251041; 285229680; -1; 831376261; -1; -1; 802956100; 646913075; 620090594; -1; -1; 127311174; 510366406; -1; 789058919; 322024083; 596741162; -1; -1; 114543072; -1; 568170478; -1; 653239072; 701440393; 784679569; 937308149; 935579485; 235765089; 383660243; -1; 307918605; 470586298; -1; 860552494; -1; -1; 913437204; -1; 61607616; 811784630; 866122002; 136233069; 868703301; 531769127; 849016072; 45085940; 726343866; 700501183; 302818149; 560880225; 441992272; 823416522; -1; 71025690; 32138764; 433137196; -1; -1; 419267006; 604378283; 752945745; -1; 406146494; -1; 860751305; 49917207; 82494080; -1; 768307310; -1; 648942417; 561032151; 713918109; 141728390; 285378143; 726230495; -1; -1; 527503990; 168567; 61336306; 380717568; 756188541; 975117997; 511792426; -1; -1; -1; 900040643; -1; 132086421; -1; 320801163; 107126043; 924211295; 417680286; 59596871; 823331914; 458108887; 746310381; -1; 623518345; 81069464; 388593134; 487325521; -1; 149335084; -1; -1; 145661324; -1; 963961158; 218420656; 975030529; 709068560; 268575866; 919335405; -1; -1; 700600252; -1; 367856144; 671954621; -1; 39708757; 591767089; 730386298; 295846801; 255266151; -1; 338525866; 515331320; 667073206; 654315168; -1; 230831068; 952288986; 559266648; -1; 148148936; -1; 194658905; -1; 122905228; 201408432; -1; 470343038; 286161957; 994619518; 640140267; 761441500; 734104065; 547949612; 384115711; 80461400; 716420380; -1; 701537855; 582614696; -1; 451570742; 299080812; 411439641; 431310682; 922113201; 431993973; 430085206; -1; 134839208; 130201426; -1; 803850548; 257199283; -1; -1; 865225463; 239211926; -1; -1; 130731650; 761183622; 829548976; -1; 371393489; -1; 817310992; -1; 146256110; -1; 865530022; 741174727; 137729721; -1; -1; 179020970; -1; 570401839; 430619727; 206139699; 396468941; -1; 188010318; -1; 319179407; 964725871; 888767129; 43759377; 356766578; -1; 200639967; 471675745; 21851224; -1; 377052942; 544019583; 328238001; -1; 688851418; 931846989; 549442811; -1; 293443445; -1; 871541811; -1; 621504740; 234962208; 225189009; 724460018; 177126760; 744802; 110875589; 447331066; 686905586; -1; -1; 377623044; 999604112; 925551641; -1; -1; -1; 121636310; 917442815; 548414757; 629805272; 558558593; 418501840; 812813214; 925446521; 909145874; 680234569; 854190733; 750520171; 162862076; 41773175; -1; 911571772; 709840491; 316220027; 337704294; 847531164; -1; -1; 190739689; 922727683; -1; 66676911; 584998905; 241368102; 300571557; 22506964; -1; 597344716; 862910362; 396887855; -1; -1; -1; -1; 113582019; 42438735; -1; 272881114; 804433672; -1; 185081379; 736521118; -1; 80898452; 895919035; -1; 754160506; 384584236; 569012969; 303689565; 93073351; 306048909; 503731897; -1; -1; 144840853; 506250781; 811066820; 423804303; -1; 758278078; 124991433; -1; 982529986; -1; -1; -1; 303555686; 933546388; -1; 277900389; 497288689; 653175124; 341181534; 711574332; -1; 709896906; -1; -1; 644894196; 86539657; 606181527; 455481135; 726769959; 801880523; 121505528; 289592624; -1; -1; 976951605; -1; 914384967; 979323562; -1; 428409106; 762616261; 947411616; -1; 766422134; 689042364; 793196738; 357254809; 213299079; 33604327; -1; 107320868; 583133943; 421337859; 795434467; -1; 871710347; 562533861; 836164132; 37344131; -1; 429798939; 168957236; 969210800; 291925261; 664075473; 583871989; 309807481; -1; 173936855; 802735228; -1; 950289009; 826360201; 915870869; 190250095; 985430983; 586931596; 507664562; 41628000; 55826291; 910192126; 501054864; 338122403; 184435666; -1; -1; 33764682; 41874979; 186121695; -1; 500671030; 618443235; -1; 394589118; 50626190; 383759250; 960428083; -1; 226374808; 445100200; 6685881; 178680222; 910901532; 285720462; -1; 598181641; -1; 862066718; 841938932; 517914407; -1; -1; 47538854; -1; -1; -1; 321020200; 767221178; 368223719; -1; 912594266; 879878161; 332288292; 50720831; 22374437; 36790058; 677196648; -1; 100860634; 199839264; 476925599; -1; 975944782; 777354814; 327368956; -1; -1; -1; 182294865; 890095117; 258335225; 762775135; 490049212; 808533877; 365056415; 437382719; -1; 188177510; 240344495; 611258262; 604895835; -1; 983687313; 619909188; -1; 277348985; 709987719; -1; 631599012; 699249380; -1; 256799222; -1; 355242664; 705583860; 226856355; -1; 433521398; -1; 114904241; 302149379; 748442565; -1; -1; 62635669; -1; 503466083; 253802068; 484242141; 136079314; -1; 171630943; 54281416; -1; 346171657; 433286353; -1; 653787829; -1; 490691890; 847503244; 445296446; 957177923; 144662977; -1; 237710912; -1; -1; 24429866; 1509927; 70871530; 729018674; -1; 405870792; -1; 862600163; 463546720; 26062522; 890376725; 557316140; 652552481; 340770055; 254517953; 845308536; -1; -1; 434922011; 340220845; -1; 263953775; -1; -1; -1; -1; -1; -1; 697235005; 104150330; 748729364; -1; 300360714; 624858706; -1; 922868879; -1; 854655592; -1; 872029470; 660609822; 910090852; 761226932; -1; 210051899; -1; -1; -1; -1; -1; -1; 378485207; 32057694; 14524566; -1; -1; -1; -1; 707228124; 193924810; 392291261; 426431731; 705911281; -1; 592166213; 282058253; 105150699; -1; 964356019; -1; 153431289; 748324611; 576183431; 385871201; 45566060; -1; 921558391; 688522170; 219838445; 157255472; 587162612; 520951190; -1; 252266594; 454168085; -1; -1; -1; 239325495; 467510720; 777840361; -1; -1; 799628736; 133928658; 834800840; 42177707; 80335786; 526844640; 998457144; 765602616; 52506741; 648943351; 751291161; -1; -1; 973753044; 972139571; -1; -1; -1; -1; -1; 183948719; 225334395; 346008805; 339514063; 909342396; -1; 620238000; 669350689; 731007236; -1; 457836460; -1; 970233432; 739006112; 649944831; 164867721; 177270552; 320082543; 930998563; 830889445; 519524256; -1; 459226894; 215726634; 336356247; 935880973; 952139077; 394521728; 383356486; -1; -1; 268493186; -1; 989739160; 143749233; 255726706; -1; -1; 391912511; 710833206; 377260856; -1; 949624177; 788435503; -1; 421636901; 707799315; -1; 474008748; 721324195; 262754343; -1; 112876106; 421582074; -1; 499967848; 961076879; -1; 559000216; 80266558; 476793283; 992034787; 563932118; -1; 555401443; 26523948; 949815508; 581367963; 680452427; -1; 567069661; 72989491; 698515317; -1; 254320160; 183924218; 218812341; 218038242; -1; 796720072; 541157979; 151022328; 920353707; 122979737; 289070592; 677175367; 942099686; 849060840; -1; 489016830; 349751379; 866498183; 854490488; 840286982; 881888699; -1; 372863989; 893607480; 756270363; -1; -1; 558859464; 959570969; 188743508; 54200129; -1; 128154479; 493020610; -1; 932249404; -1; 352990821; 752104794; 109678800; 812205449; 99732268; -1; 93436315; -1; 645291357; 704037108; -1; 516144501; 783073061; 910482782; 252085704; 877586502; 318366525; 111251055; -1; -1; 767943264; 708614046; 63074228; 48909014; -1; 565007527; 678551668; 288592735; -1; -1; -1; 24908607; 973923609; 181305117; 107772529; 104992110; 734891825; 656152153; 994380614; 184715047; -1; -1; -1; 251247181; -1; 624934224; 415243404; -1; 311897159; 879017303; -1; 330897753; -1; 186859873; 374511222; 138299353; 967136904; 928565734; -1; 413447583; 255391404; 621474083; -1; 651612334; -1; 267009609; -1; 236285002; 592131172; 351739481; 46717256; 171888683; 169108496; 626091344; 144812024; -1; 363829926; 862550429; 116258322; -1; -1; 508992919; -1; 756670702; 725810703; -1; 769036702; 715938550; 85871508; -1; 379983844; 96628402; 891689618; 777250812; 22823007; 861782187; 387519740; 725466616; 623558449; 442100509; 469610939; -1; 436591367; 492222750; 102804079; 331134232; 870308808; -1; -1; -1; 793600480; 878905933; 389827834; 953192944; 999657378; 25704359; 25103721; 472627710; 859651012; 341426228; 624350760; 681967294; 190735030; -1; -1; -1; 618431223; 611440633; 28318921; 607065179; -1; 304824890; -1; 523206974; 250448279; 61427810; 226524898; 996564633; -1; 747513997; 908642987; 791595067; 589919948; 730121800; 857632624; -1; 425971770; 129657048; 604769066; 947509644; 258354978; 372748843; -1; 382572742; -1; 149895089; -1; 399829845; 549577792; 698466387; 707813148; 635121264; 225009648; 928759634; 814474209; 915202002; -1; 560959058; 874593798; -1; -1; 398391213; 927392913; 458421017; -1; -1; 893257531; -1; -1; 101687530; 208435468; -1; 458386657; 333618869; 768671206; 608702995; 805811107; -1; 475398332; 897127840; -1; 930120265; 476677019; -1; -1; 129146897; 165451004; 396568947; 647067170; -1; 175955271; -1; 226419550; 11098964; -1; 435702119; 437408027; -1; 582173426; -1; -1; 84992101; 190192944; 483164041; 807947151; 24927777; 672492600; 83768085; -1; 426659252; 770731465; 493456091; 906448542; 200689373; 121582591; 346333197; -1; -1; 483851323; 563988900; -1; 31229264; 994634161; 401559374; 701367493; 357562840; -1; 936628609; 437870782; 207793315; 46620313; 655426747; 110851129; -1; 493560913; -1; -1; 440123973; 388014998; -1; 541630164; -1; -1; 740019548; 122570901; -1; -1; -1; 848804566; 11207748; 234922267; 304231397; 463776663; 871282513; 637924084; 319899888; 377864792; 958753501; -1; 610409236; 353247014; -1; 679218376; -1; -1; -1; 692305140; -1; 274108247; 113571382; 321253738; -1; 865674563; 387049406; -1; 472849974; 432842923; 380005087; 123765425; -1; -1; 751714999; 832852108; 237601881; 527262274; 589920372; 788614573; 961604801; 752989889; -1; 884926219; 842125638; 190738246; 294501437; -1; 86585942; 44021182; 695003940; 409086355; -1; 55252796; -1; 455202438; 806315913; 528419092; 388111691; 411836202; 558822836; 907535350; 952903693; -1; 433936859; 831765997; -1; 880366598; 3670978; -1; 809102556; -1; -1; 500889665; -1; 422398265; 542255551; -1; -1; 309238812; 376040601; 164797155; -1; 739875207; 848656221; 242038040; 759318261; 438334748; 427524686; -1; -1; -1; 823339476; 516337740; 355141431; -1; 693601059; -1; 235762453; 74235115; 839210121; 457638041; 391173378; 721199683; 166874443; -1; 914367206; 854377997; 897299330; 503216256; 904441892; 27047826; -1; 835511257; 58318363; 52217012; 612088879; 821385969; 744833586; 453591695; 953609446; -1; -1; 865071744; -1; 315990102; 295547652; -1; 953088554; -1; 542325012; -1; 47734741; 255409615; 863606780; 340855344; 151571994; 443740469; 435088962; 633731865; 627296843; 965521272; 834908330; 371026321; 38058704; 266058490; 793564374; -1; 634999349; 592786108; 916192226; 411618692; 456187181; 533554781; -1; 950612381; -1; 55067838; 294403384; 801961440; 650830314; 551259776; 169935008; 406800627; 445996327; -1; 357697033; 345817598; -1; 666929781; 702728902; 42586126; 987651559; 333127623; -1; 491822775; -1; 100480633; -1; -1; -1; 546673302; 293832848; -1; 958092689; -1; 780643759; 843210641; 496637219; 158467054; 910348229; 768766645; 637324143; -1; 602874052; 291593128; -1; 137356104; 188910697; 17184406; 880956557; 862623399; 919616827; 166773797; 385511026; -1; -1; 160340385; -1; 614376412; 923005199; 934415310; -1; 262029531; 657120340; 223942509; 313334310; 880195161; 326678013; 702162658; 472059064; 582488598; 813731444; -1; 677402305; 204950992; -1; -1; 125831264; 102434420; 105107741; -1; 764182836; -1; 993255947; 378544821; 752558378; -1; 333673666; 190508626; -1; 442024808; 896430999; 132223827; 800662329; 476510250; -1; 700046103; -1; 144513133; 916815648; 601287768; -1; 109607913; -1; 380197179; 135604026; 219190952; 580233427; -1; 222564218; 147847371; -1; -1; 342092245; -1; 361131422; -1; 9453961; -1; 931868197; -1; 825016978; 585917112; -1; -1; 705444464; -1; 622980527; 536594254; 205178443; 238011272; 67310196; 501004753; 455591137; -1; 740974179; -1; -1; 59687071; -1; -1; 235134069; 114635676; 9704053; 971765534; 808702468; 133409108; -1; 925991907; 2989891; -1; 122249478; 500794084; -1; 148338466; 970300507; 996630795; 626642390; -1; -1; 196094153; -1; 972343239; 309272558; -1; 914840914; -1; 724544503; 721470973; 127263717; 628358496; 227798014; -1; 795711359; 880232139; -1; 685709726; 416576270; -1; 490917695; 373727080; 796404994; 490165462; 654307518; 945375671; 319140464; 654776811; -1; -1; 989361785; -1; 57476649; 382244769; -1; 344764926; 259781743; -1; 367398686; 941722495; -1; 716859574; 234469651; 991793106; 224766864; 118168645; 697735159; -1; 880279646; 455037277; -1; 495064242; 642929095; 703130434; 533582480; 820449271; -1; -1; 745054589; -1; 663225412; 546349331; 199321124; 776808195; 466019295; -1; -1; 75283803; 620597363; 268139457; 143933590; 574569262; 383591569; -1; -1; 140990596; -1; 303871344; 73071924; 477891671; 599040599; 514180911; 540648214; 757340826; 457822222; 916641920; -1; 438998698; 389772880; 540567007; -1; -1; 283445304; -1; 31350554; 512734607; 667556319; 990629409; -1; 666368992; 132099857; 337962026; 678721720; 938509550; 671742029; 586086298; 537703586; 449069637; -1; 27575280; -1; 694201484; -1; 573622020; -1; 494833899; 460561791; 469311324; -1; 596754259; -1; 661717796; 511446392; 794900245; -1; -1; 804143061; -1; 910824998; -1; -1; 886998122; 439068677; -1; 97858127; 802896632; 229135526; -1; 806081098; 231277377; 743672677; -1; 356359138; -1; -1; 25640635; -1; -1; 495641429; 207979816; 295999305; 686868712; 577092990; 250072127; 267228760; 45572346; -1; 498250251; 998579393; 625070163; -1; 279481399; 972575611; 294346344; 169920978; -1; 967121821; 28819781; -1; 959495720; -1; -1; 147876790; 145048834; -1; -1; 346781982; 392672709; -1; 683523495; -1; 791184756; 977793725; 413349376; 606358224; 164668658; 843527024; -1; 193890254; 323879597; 284717381; 716210553; 403817515; -1; 672279715; 65101761; 121194642; 29690494; -1; -1; 539453012; 964324323; 29647998; -1; 858394249; -1; 834503372; 177250962; 829447994; 64562512; -1; 366818781; 676802583; -1; 4737873; -1; -1; 78090620; 57504370; 469037749; 820542158; -1; 753326015; 985191799; 163525387; -1; -1; -1; 169153097; 811594922; -1; 148612155; 984085392; 400126111; -1; -1; 605956914; -1; 761520496; 137929640; -1; -1; -1; -1; 628671395; 480236894; 254109017; 576055803; 811072420; 467211175; 290778738; 141844261; 831529847; 868981200; 787001369; 956226790; 3758713; 211882015; -1; 880837991; 845932499; 290365747; 126484501; -1; 250307462; 623579221; 72922952; 15602352; -1; -1; 93888011; 646201005; 915930487; 968534198; -1; 860515664; 681167266; 88266; 578797582; 226187891; 242760027; 400319294; 169038088; 580785124; 855151960; -1; 571263556; 774686946; 798004459; 474855895; 630921952; 739364897; -1; 713441057; 52359144; 459899972; 980096114; -1; -1; -1; 852056660; 707055708; 18845597; 320046408; 355418975; 264685792; 779092012; -1; 178298431; -1; 120702590; 990327125; 253033357; 610655631; -1; -1; 227326685; 222936118; 461362301; 113908893; 381924336; 484472695; -1; 748907971; 924016598; 925592953; 315910201; 752206530; 778858058; 615855717; 750378192; 970247308; 578955659; -1; -1; -1; -1; 871077020; -1; 414250035; 509049104; -1; -1; 302923142; 717987169; 979046762; -1; 586084084; 607095568; 468772584; 566969926; 407315197; 897303833; -1; 991413254; 115743323; 400661033; 998149142; 603808028; 279189100; 379871662; 793871735; -1; 113355550; 469989338; -1; -1; 789959932; 693850248; -1; -1; 749563834; 231642185; -1; -1; -1; 536750198; 181510227; 176400034; 680423055; 530140474; 993839762; 102713359; 469285172; -1; 186915161; 202981632; 430246785; -1; 310057339; -1; 935863509; 854197637; 464418417; 697264420; 641034441; -1; 374815906; -1; 343405623; 371953520; 323228250; -1; 858891023; 541571692; 733590368; 275847378; 155064154; 124787371; 232380033; 256921278; 483130036; -1; -1; 866874354; 498635728; -1; 170232091; 356122099; 878238051; -1; 581539551; 737206395; -1; 692051011; 784409173; -1; 501169664; 556158014; 421401222; 255383217; 180512533; 578711164; -1; 369318659; 958762774; 200600885; 492416022; 828033653; 162500412; 705761367; 850702690; -1; 505998835; -1; 465824670; -1; -1; 526240200; 876229630; 43750170; -1; 603073034; 313743283; -1; 396931625; -1; 990790220; 805346157; 450834523; 173437140; -1; 743967014; -1; 704542532; -1; -1; 20344090; 631672984; -1; -1; -1; 640688335; -1; -1; -1; -1; 94117043; -1; 298257619; 861237508; -1; 813201212; 513269101; -1; -1; 988238940; 205249836; 716367760; 79558919; -1; 538898623; -1; 778005676; 518481368; 350072891; 900448677; 751807687; 877057321; -1; 935991315; 278044303; 428476479; 235726691; 440878515; 538728564; -1; -1; 2094075; 175655611; -1; 94730016; 669338048; 329575327; 977606473; 182411522; 113060040; 793774534; 46701046; 881214793; -1; 446024243; 512735496; 506981757; -1; -1; -1; 488285004; 445853963; 474296791; 419259014; 296933802; 864678555; 38456791; -1; 270161749; 221285049; 777387225; -1; 949078524; 452478401; -1; 853531800; -1; 75230130; 189284748; 652761356; 302791900; 997652434; 936508077; 255519119; 708456131; 793645796; 679623130; 784885338; 567830386; 836715834; 106379034; 348397336; -1; -1; 940352371; -1; -1; 355832344; 104753354; -1; 473037577; 552406060; 229885065; -1; 928608678; 918848442; 757788967; -1; 254957628; 498950557; 568422776; 332108148; 993682358; 353543804; 41616693; -1; 246261874; 258762069; 833759012; 258343110; 455730287; 102254719; 899238528; -1; -1; 313676640; 568570368; 701438201; -1; 89899222; 995138977; -1; -1; 377615860; -1; 510481062; 112668770; -1; 405730371; 367070698; 567957370; 1698413; 954232937; 295714336; 883768372; 633074325; -1; 967145691; 887238160; 840968053; 205628630; 58612454; -1; 486717847; 963328917; 783409018; 501164026; -1; 152730912; 83860612; -1; 448344046; -1; 165583062; 308463277; 207888591; -1; 874786543; 854202115; 506960179; 84857643; 642942859; 932577890; -1; -1; -1; 836542274; 244429980; 795106912; 910923849; -1; 467982286; 732018061; 407211475; 908007593; 540030402; -1; -1; 27340431; 803565160; -1; -1; -1; 228004702; -1; 683558407; -1; 396714908; 29294947; 542587863; 45885735; 251992391; 188303350; 975773687; 529698903; 275138220; -1; -1; 434129971; 146770464; 485087617; -1; 404291867; 650793963; 38903234; -1; 699991056; -1; 495950214; 578779648; 170895592; 457929579; -1; 405374749; 633120934; 113590022; 916381641; -1; -1; 2693767; -1; 506944397; 208584259; 46952346; -1; 706792999; 545136141; -1; 866782805; 997951643; 765324470; -1; 357545646; -1; 948616936; 386134733; 150367359; 751005119; -1; 584033056; 878814607; 205068853; 823251834; -1; 460727826; 935479328; 82955536; 523287615; -1; 554422987; 683685538; 779614394; -1; 11956757; 82906143; 443681530; 867457499; -1; 968326934; 720287056; 716056732; 153769140; 881365931; 35153299; -1; -1; -1; 665902325; -1; 126225824; 621669836; 840037964; 295110746; 633536818; 568363340; 889776983; -1; 850117135; -1; 57949462; -1; -1; -1; 502137800; 97706734; 144955332; 549008265; 742593217; -1; -1; 78663224; -1; 400355104; 520636779; 540602215; -1; -1; 508558959; 172676218; 687063665; 616442222; 488033315; 805732768; 972636040; 371559858; 390660358; 595473298; -1; -1; 776168903; -1; 492054551; -1; 645594684; -1; -1; -1; 549829365; 155127187; 169577759; 810473055; 347384976; 223894844; -1; 891270516; 412770564; 227924670; 579544465; 329655802; 701345956; 52254290; -1; 664060213; -1; 486838249; 397136343; -1; 518142604; 295969665; 94613518; 832559533; -1; 902596633; -1; 26215279; 159300896; 321773960; 922853870; 7479397; 806424271; 802891624; 597566379; -1; 872876709; 952406796; 916684062; -1; 520845741; 584718625; 410390843; -1; 779265998; 921776083; 511579045; -1; 152153811; 607287262; -1; 531660493; 8699504; 911274054; -1; 331277718; -1; -1; -1; 15068048; 846407139; -1; 785797668; 227997011; 65495105; 842508304; 964740426; -1; -1; 889240010; -1; -1; 672981042; -1; -1; -1; 706684214; 703007795; 570594621; -1; 332062876; 619012240; 938104087; 405948802; 775280111; 801345189; 707869959; 843381984; -1; 837202105; 819419249; 673749481; 991574095; 316705879; 928282733; -1; 699234863; 21403237; 317076802; -1; -1; 913891167; 298622352; 549913596; -1; 822351723; 516732835; 926492175; 93682104; 460776474; 620161656; 993847487; 997450600; -1; 26241534; -1; 682922847; 374210028; -1; 292096790; 917054755; -1; 640889091; 386252020; 179718582; -1; 114579153; -1; 968305862; -1; 700099841; 270983865; 539211628; -1; 518121114; 288747614; 319159459; 731417718; 150608752; -1; 97677771; -1; 690307992; -1; -1; -1; 804631210; 422098905; 197409611; 81348189; -1; 321234387; 625209119; 465955647; -1; 211382884; -1; 325333251; -1; -1; -1; 104585025; 860966071; 602987448; 789982090; 409997632; -1; 618460102; 741154980; -1; 290376054; 972773110; -1; 945559991; 535494114; -1; -1; 124084144; -1; 432825030; -1; 263463925; 657779819; 757668209; 119282312; 72269619; 152283005; -1; 227025109; 419560606; -1; 985631877; 61524043; 47743049; 809804860; 112895780; 750121408; -1; -1; -1; 580060123; 296486916; -1; 804313538; 666114629; 804510159; 997157271; 752831967; 765754657; -1; 889520562; 587731445; 686571653; -1; -1; -1; 506645365; 169030465; 949782543; -1; 580629210; 687528432; -1; -1; 238827347; -1; 300425355; -1; 32422302; 46361192; 162650571; -1; 950333135; 54066643; 24121244; -1; 623161769; 178854846; 963660724; -1; 153397891; 11475900; -1; -1; 705430799; 937459857; -1; 727815995; -1; 237253063; 857930873; 869663124; 554078296; 911518632; -1; 50472621; 294805414; 15614368; 187116358; -1; 224931428; 698726534; 357529508; -1; 202187284; 870131540; -1; 473681901; -1; -1; 600103112; 457207888; -1; 133605433; -1; 352089217; 828999844; 779884845; 174091360; -1; 165339043; 660643430; 668724072; 253031546; 125385285; -1; 72849961; 534270614; 570951157; -1; 433600250; 784505723; -1; 414908061; 146569264; 556676285; -1; 156492610; 156731555; 187466207; 825438298; -1; 54756990; 821215142; 903710708; 327059112; 236636563; -1; 237932215; -1; 286544201; 375178331; 961376374; 997082529; 372977885; 790015175; 607974990; 494643279; -1; 134908481; 944391901; 958996221; -1; 378687510; 71133740; 480965695; 860772052; -1; 399004824; -1; 187753138; -1; 445032210; 833409791; 245844334; 889864685; 411608582; 561798863; 238073446; -1; 781827649; 257909618; 437539830; -1; -1; 746373895; -1; 384314748; 160273553; 215793583; 357501687; -1; 294793617; -1; 216663956; 931461315; 77161484; 301957898; 975897048; -1; 64155356; -1; -1; 175354535; 296626804; -1; 109343907; -1; -1; 218084977; -1; -1; 934074031; 465047284; 958184742; 455982935; 100237925; 864586176; -1; -1; 196029267; 794580786; 690025616; 389213372; -1; 288019566; 947689005; 129387616; 647963254; 168438375; 815397243; 757450385; 780289890; 804388871; 632752226; 318973188; 586365178; -1; -1; -1; 880488290; 998333096; 657823731; -1; 696253117; -1; 642571116; 629452788; 237751458; 89094462; -1; 792508027; 807318223; 332551522; 180830171; 245629505; 795285910; 628771210; -1; -1; 440784134; 461280810; -1; 333479473; -1; 598376916; -1; 890775729; 327314152; -1; -1; 288924796; -1; -1; -1; -1; 728690719; 986766874; 52368488; -1; 477232296; -1; 959454583; -1; 609645163; 868363053; 524469629; 923531569; -1; 127367109; 396875613; 543840748; -1; -1; 606047345; 906016812; 909007036; 970632940; 381189479; 48007905; 113550564; 446195708; 305563734; 379329280; 846725481; 159426652; 856388711; -1; 261691031; -1; 605906158; 761250298; 847521485; -1; 87860248; -1; 893264476; -1; 136372694; 424973312; 902436701; 363703372; -1; 498266095; 14833498; 172541837; 246622741; 861241397; 918101369; 68905550; 841987636; 453423630; 18230945; -1; 698669703; 523421740; -1; 222445001; -1; 795251317; -1; -1; 999066030; -1; -1; 918366629; 793225756; -1; 849266426; 837275596; 958057519; 897045606; 240225053; 702446772; -1; -1; 468853530; 937382026; 751411391; 242111574; 728191414; 866143958; 196045061; -1; -1; 677569563; 981537201; 90248876; -1; -1; -1; 362673635; 78638371; -1; -1; -1; -1; -1; -1; -1; -1; 194420523; 592288465; 307973950; -1; -1; 17721186; 160019792; -1; 752481768; 495804053; 510040774; -1; -1; 962716434; 14944776; -1; 241425150; 851160578; 808245605; -1; 177401912; -1; -1; 184474256; -1; -1; 924725862; 98881606; 690750571; 611730260; 67988951; 254566898; 876472144; -1; 699215112; -1; 429186711; 903223053; -1; 710508663; 621750321; -1; 588743045; 930701741; 4160578; -1; 440992287; 649287390; -1; 98023531; 602850205; 210704047; -1; 538546892; -1; -1; 772866668; 560604647; -1; 758875807; 465376243; 704876222; -1; -1; 727242993; -1; -1; 350579001; 453328207; -1; 174303789; 743191912; 818606714; -1; 380723801; 838404937; 228725120; 119656769; -1; 602725065; 537301019; 581654328; 546210825; -1; 828938964; -1; 38833055; 421273101; -1; 463910768; -1; -1; -1; 931687372; 597693499; -1; -1; 801101084; -1; -1; -1; 595556122; 400832682; -1; 509995175; -1; 418523075; -1; 581687948; -1; 602517441; 257685275; 793758602; -1; 315793833; 19712870; 439209286; 514204338; 96414776; -1; 563451909; -1; 732196826; -1; 608735906; -1; 179132544; 966656191; 610552313; -1; 460677032; 554817840; 836353159; 92181075; -1; -1; 976132311; 906056466; -1; -1; 748269372; -1; 909375849; -1; 27729290; 997535618; 644152176; 788454691; 450217128; 679263217; -1; 615128179; 881999005; 65658005; -1; 920587061; 579318488; -1; 163423247; 125392793; -1; 529763991; 395101513; -1; 980157436; -1; -1; 726244795; 241394230; -1; 790586782; 988236844; -1; -1; 261818780; 622973296; 118474360; -1; 443072837; 94518468; 675308679; 479050138; 380566564; 325634827; 374490769; 351366620; 27895556; 313951617; 672996321; -1; -1; 546828929; 110121201; -1; 536525199; 417250419; 226655786; -1; -1; -1; 17566920; 95871141; -1; 489471623; -1; 833608667; 436599791; 800965961; 642723933; 114067795; -1; -1; 556456816; -1; 146522015; -1; -1; 593753268; -1; -1; 383565948; -1; 584937305; -1; -1; 956147697; -1; 871776705; -1; 736334443; 78891033; 827276689; -1; 326293786; 238996853; 194545004; 605576571; -1; 429398981; -1; -1; 136130477; -1; 147479934; 155447165; 831213090; 404365694; 675173158; -1; -1; -1; -1; 42519339; -1; 377382811; 819078137; 292288347; 427734081; 322401295; 578686583; 534664391; 577380738; 843393560; -1; -1; 815027375; 930360303; 589047417; 968524945; -1; -1; 817510451; 708009550; -1; 878162462; 677449499; 281650457; 491292778; 398328403; 119238509; -1; 181281789; 968901270; 900838542; 351856476; 420267830; 715781807; 139846852; -1; -1; 427383792; -1; 819001098; 567162487; -1; 325651383; 712939087; 984152582; 605702477; 324202721; -1; 409982877; 400259194; -1; 792342672; 487034470; 262805479; -1; -1; 573747027; 219076179; 849176751; -1; 320768680; 303857653; -1; 647750909; -1; 800787296; -1; -1; 323225337; -1; -1; 599408568; -1; 894184962; 524449945; 295958262; 481162535; 426567173; 71007738; -1; -1; 79005541; 65946004; 529039309; 710977297; 989207231; 33661041; -1; 500829210; 55781587; 317219535; 168284623; 134899626; 426284728; 479202931; 284806905; -1; -1; 733736227; 28625829; 313965011; 826857363; 191894443; 589396729; -1; -1; -1; 568563348; 709322205; 335108156; 838190188; 351821275; 388280660; -1; 426477631; -1; 176606263; 714671272; 512372826; 56925931; 36126467; -1; 821495799; 1813332; 248128174; 824242451; 888529546; -1; -1; 243526457; 939265772; 850398077; 841720937; 410348938; 893735799; 883395875; 362647478; 405267006; 53741752; 159423448; 802949603; 580423017; -1; 825255636; 252393559; 420617610; 459135498; 350893194; 551095832; 837862132; 485461137; 944635577; 364712565; 346191471; 186179927; 957882451; 104083843; 351492919; 522281037; 228341871; 268786705; -1; 747490985; 590186335; 461298979; 1279428; 224409927; 604711602; 292792577; 313829091; -1; 799805219; -1; -1; 950825668; 244729347; 385644099; 7379688; 546265430; -1; 518059143; -1; 221414253; 221923316; -1; -1; -1; 153239808; 476079883; 278898495; 489749955; -1; 673804592; 285142849; 209610510; 480590691; 314228818; 147496989; -1; 854375943; -1; 734496835; 928401982; 825859697; -1; -1; 575023456; 831844802; -1; -1; 914123759; 822418569; 873714445; 534240508; -1; 537324236; 1435717; -1; 452211329; 599666100; -1; 953858298; 19531994; 344770601; -1; -1; 577007739; 129933650; -1; -1; -1; 30621937; 808792792; 487007405; 793378283; 999345518; 801905151; 213847657; 539285537; -1; 854347338; -1; 753483655; -1; 497686867; -1; 210639374; 300616145; 956926527; -1; 175172420; -1; -1; 21222697; 743077201; 180803002; -1; 588228465; 522065052; 235992294; 235080442; 374650553; 985415346; 519565364; -1; 461322586; 512619448; 147250421; -1; 534249011; 324541593; -1; 557194902; -1; 462598295; 858739081; 113975319; 201904670; 78280266; 883236153; 861160565; 457695252; -1; 996892082; -1; 640577304; 750654646; 513897337; 72438245; 960143831; 915826080; 243348706; 157005038; 730097998; -1; 896644389; 75009709; 724415954; 701565825; 430794830; 854860628; 90477810; -1; 725126208; -1; 758607809; -1; 911878307; 52710269; 2983027; 954173527; 19497803; 464023173; -1; 111291644; -1; -1; 568184482; -1; 883590791; 911729915; 831669685; -1; -1; 362374720; 933767058; -1; 328967750; -1; -1; 148049345; -1; 367644174; 82420093; 833303580; -1; 631850274; 785506801; 317681776; 524683519; 135987665; 870731057; -1; 28563998; 828478003; 417751267; 226175816; -1; -1; 579839117; -1; 479844030; 322368924; -1; -1; -1; -1; 72825822; 772859126; -1; -1; 163870857; 781384683; 901882771; 210564016; -1; -1; 881887604; 678929941; -1; -1; 840131077; 210662352; 163887179; 930063655; 206716962; 204667267; 938845328; 895192275; 618404477; 937977288; 558066212; 393940107; 991292462; -1; 188900267; -1; 855484489; 205302043; -1; 627828355; 462861447; 173521931; 461061220; 992507458; -1; -1; -1; 271047617; 188599909; 848203564; 143139367; 201019057; 81676124; 843072567; 936855817; 813059303; 677252910; 150541274; -1; 379525990; 978665360; 545047266; 956898829; -1; 711126790; -1; -1; 240641923; 513624315; 837335701; -1; 5477462; 721805867; -1; -1; 442765006; 810494822; -1; -1; -1; 799552861; -1; 677708757; 736010885; 642678461; 588300385; 994973655; 739913515; 456812644; -1; 346651916; 140198747; 175348963; 135173879; 953554771; -1; -1; -1; 860720599; 147240334; 673760677; 352879136; 306829760; 355713586; 413274222; 62479266; 740534795; 945642392; 829453226; -1; 944326359; 612201524; 677775138; -1; -1; -1; 368211962; 404939630; 414715255; -1; 995875428; -1; -1; 596040786; 951535634; -1; -1; 283817181; 304441933; 478113231; 985408401; 816721565; 750808634; 719854898; 612543168; -1; 277469836; -1; -1; -1; 299013633; 421406266; -1; 682815789; 562548044; -1; 158799366; 137099034; 338745927; -1; -1; 790606852; 211366720; 367104880; 485804968; 833175403; -1; 452416376; -1; 237830999; 192069570; 858204915; -1; 640364894; 958988884; 556933141; -1; 597333206; -1; 647130770; 76318770; 821163943; 317675461; 470159868; 118682575; 536244877; 596419880; -1; 170010200; -1; -1; 744961853; 310736252; 207446601; 399219485; 569396301; 638014121; 730994021; 931596188; -1; -1; 558584894; 915446641; 770325534; 435729909; -1; -1; 409182200; 100273966; 802416737; -1; 478655521; -1; 849971887; 462293647; 962967547; 720823937; 463860222; 206773170; -1; -1; 8403597; 628961408; 925806034; -1; 694746226; -1; -1; 552841109; 402302508; 435624996; 309093634; -1; 985310905; 44535207; 233606476; 899789097; -1; 266457431; -1; 731683; 344402436; 104928585; 147317531; 568790071; 163305712; -1; 906971429; 354484949; 179618346; 711491915; 299040611; 791332647; 806560148; -1; -1; -1; 725947689; 120503206; 31828548; -1; -1; 613124746; 98641444; 361572829; 632963927; 313135206; 271261748; 702158637; 510720141; 545401517; -1; 436654664; 850188667; 429882731; 777155469; -1; -1; 387209901; 647957918; -1; -1; -1; 112572607; -1; 759551091; -1; 63274436; 48664477; -1; 149641549; 965604184; -1; -1; -1; 120747893; 801040628; -1; 801226079; 711294372; 438360644; -1; 570937205; -1; -1; 844349190; 83715702; -1; -1; 766219182; 250008577; 935155578; -1; 910959072; 816301501; 31659750; -1; 556641807; 290116782; -1; 536914772; 189860415; -1; -1; 640976663; 751429576; 806825508; 402289999; 728137338; 523351113; 434603528; -1; 393615848; 991665258; -1; 809647440; 388055593; 502329492; 551179693; 406610923; 156135925; 961773776; 491772194; 946588099; -1; 756760884; 710104423; 781445836; -1; 669275570; -1; 247663903; 207196541; -1; -1; -1; 676007068; 843430063; 172694718; -1; 701027968; -1; 937711285; 448271164; 903731126; 989965255; 498820209; 446244367; 297269498; 598848588; 302519609; 838528099; 491703265; 674165750; -1; 679726460; -1; 970830537; -1; 652563513; 399772948; 732476754; 166885009; 937693074; -1; -1; 25906737; -1; 957134237; 748631102; -1; 247887749; 367092074; 423197977; 964131529; 794898498; -1; 421980530; 23029317; -1; -1; 214817233; 602698923; 475621473; 826451500; -1; -1; 906032967; 729631795; -1; 408948262; -1; 879041616; 469530620; -1; 822493795; -1; 604182922; 535207062; 796553904; 158739298; 740316628; -1; 660140782; 839872661; 269685341; -1; 64043628; 74381253; 543375687; 713077233; 839805324; 611151724; 34101134; -1; 404986402; -1; 645166328; -1; 360356192; 416264109; 296686473; 293579783; 363686439; 619711447; 764418044; 59955035; 282669066; -1; 642493198; -1; -1; 18514952; -1; 423982428; 784223467; 690332246; 682740496; 944715994; -1; 356842540; 438462817; 872290587; 344175866; 190067; 532997580; 805486187; 21445170; 519106399; 525307914; 199626980; 299543403; 455190274; -1; 845030871; 402544562; -1; 133535027; -1; 215727807; 874399811; 3414183; 714309111; 304258776; -1; 549452542; 797390193; -1; -1; -1; 570946708; 917001630; -1; 305244306; 589458985; 884731568; -1; 929749403; 885852871; 627071303; 539452943; 909462730; 450821721; 958387125; -1; 639985937; 789969897; -1; -1; 245758280; 708414988; -1; 958958064; 492260964; -1; 360238004; -1; -1; 611666163; -1; 209774846; -1; 918399054; -1; 406177185; 208627566; -1; 979646885; 192096742; -1; -1; -1; -1; 737406984; 459149475; 98572068; 499342006; 806235908; -1; 923623573; 558849922; 268500928; 557114192; 374635697; -1; 111076467; 691535281; 475012231; 994419617; 275361659; -1; 580139973; 83368428; -1; -1; 904248241; -1; 84161293; -1; 136372101; 943955526; -1; 678892543; -1; -1; -1; 680409161; 267478467; 252213164; 776014000; -1; 840969960; 562165278; 106476543; -1; -1; 153401456; 830064274; 541708257; -1; 677350455; 8277727; -1; -1; 273513787; -1; 974877351; 168325538; 647889455; -1; 943014675; 692819906; 978911924; 980782957; 706920313; 914888368; 571102614; 499578760; 787056340; 371036549; 735690562; 995801887; -1; 520286858; 535159494; 818221457; 835579561; -1; -1; -1; 872112651; 686079689; 42277127; 253870070; 945330865; 556131506; 851032278; 157311211; 577390956; -1; 562293746; 108046737; -1; 803201612; 481958102; 729137934; -1; 700534787; 227988311; -1; -1; 776144734; 943916281; -1; -1; 635758969; -1; 979409895; -1; -1; -1; 829770347; -1; 153680062; -1; 206548005; 319053344; 122118652; 732249740; 208435242; -1; 698553131; 222645287; 828822911; -1; 24543220; -1; 151804474; 350006028; -1; -1; 875378809; 862414933; 993236549; 918880784; 349966988; -1; 179359650; 416343590; -1; 677321660; -1; 470459691; 603517708; 42056436; -1; 924371790; 758783095; 760502807; 237223731; -1; 231648352; -1; -1; -1; -1; 130603494; -1; 534871030; 886974011; 519703165; 498530929; 588738923; 377197337; 323559729; 86060691; 575293161; 396042824; -1; 573414679; 51368549; 635979406; 633423423; -1; 101185047; 56655399; -1; 448487599; -1; 693424550; 984290794; 802943106; 169000656; -1; 875290613; 196338620; 676372130; -1; -1; 707682010; -1; -1; -1; 887625208; 116669835; 423711729; 422061227; -1; 939646270; 268371129; 187327332; -1; 303396090; 137113333; -1; -1; -1; -1; 213763748; -1; 98318217; -1; 41043424; -1; 727813739; -1; 722666773; 946035176; 780667565; 231712857; -1; 404460043; 860020705; -1; -1; -1; -1; 162788233; -1; 274258439; 166394028; 513141284; 553335855; 832997464; -1; -1; 959801226; 495918350; -1; -1; 167526543; 711504869; 750882092; 732341390; 853137049; 768107926; 260231041; 272352491; 646943071; -1; 139701061; 271245153; -1; 664318506; -1; 178528369; -1; 490577230; -1; 54122621; 535244459; -1; 452328479; -1; 649816217; 474004843; 754256975; 561427363; -1; 407972045; -1; 824787330; -1; 136078881; 393437832; 6837456; 929116159; 729178038; 49496012; 411916738; 235282634; 723750200; 753269448; -1; 604238019; 700534372; -1; 14996195; -1; 473495392; -1; 164940239; -1; 287948041; 336795259; -1; -1; -1; -1; -1; 394592578; 762584183; 555019227; 942240669; 387325380; 885765233; 535248533; 760012569; -1; 119213974; -1; 147304533; 699536350; 942247379; -1; 708687189; 947647264; 51381192; -1; 365729790; 225842683; 658056327; 376998587; 566133279; -1; 944474873; -1; -1; 662527590; -1; 583983761; 475884293; 942570094; 826999048; 725613546; 78950907; 542633558; 258116465; 819129974; 837860637; 180915781; 833456545; -1; 983654651; 218004436; 918445615; 391272701; -1; -1; 563286343; 768160041; 967955277; -1; 495382556; 180500254; 738791513; -1; 421605637; 989270014; 737448285; 696114839; -1; 459193350; 752694709; 637816208; -1; 388759314; 50133618; 894268005; 98711702; 9884940; 916310579; 923403966; 763123079; -1; 159940552; 292694306; 306419323; -1; 545628021; 699720253; 404556680; 127117087; 161786921; -1; 60920610; 700554417; 86938018; 612480509; 794030187; 707126696; 218960703; -1; -1; 513061332; 818464056; -1; 125552198; -1; 801420708; 464911505; 978231576; 3597267; 782521659; 730890744; 113310528; 329933531; 107720309; 35859320; 811558294; 368232175; -1; 472331250; -1; -1; 884277003; 82410892; 545108750; -1; -1; 553101104; -1; 354878074; 651218064; 399037076; -1; 166180310; 285113686; 171113732; 673649939; 786312271; -1; 852647925; 77199490; 237035211; 20835526; 254463417; 345616367; 683753049; 985691058; -1; -1; -1; 946197923; -1; 798446497; -1; 769752482; 263785727; -1; 357526525; -1; -1; 911165493; -1; -1; -1; -1; -1; -1; 946729222; 663759878; 913235023; 374153079; 787265814; 117809775; 560833929; -1; 401400480; -1; -1; 935523640; 595495781; 47920937; -1; -1; 58920545; 186028846; -1; 360516888; 168921962; 51285409; -1; -1; 29196581; 130387560; 907303690; 819826241; 166327912; 505406093; 354146789; -1; 625120265; 795090561; -1; 303287251; 979583128; 745453084; -1; 904574207; 333010876; 522824056; -1; 433678804; 886521684; 874990521; -1; 843803937; 930140159; 653433424; 890116257; -1; 557740846; 588215077; 572569219; 59008192; 86841859; 953001661; 286618161; 437296757; 673634145; -1; 15451369; -1; -1; 554827973; 592088195; 755467858; 183310219; 363499068; 894739986; 62158010; -1; 895558868; 608945313; 918160676; -1; 606222445; -1; 816088963; 35414932; -1; 13109355; -1; 820004436; 584521680; -1; -1; 359978757; 673866108; 574678188; 675676631; 468128783; 281597531; 960453980; -1; 476826921; -1; 544863776; 337878387; 642583139; -1; -1; 319475460; -1; 422929375; -1; -1; 103460286; 817704502; 858311352; 185238499; 986277232; 350355078; 51144664; -1; 256934707; 675268197; 804281890; 488625907; 25259425; 502197052; 108276805; -1; -1; 345297358; 934047685; 791061351; 269153046; 80345184; -1; 367465629; 938604537; -1; -1; -1; 673514164; 117747376; -1; 387897516; 270461181; 296398115; -1; -1; 351251681; -1; -1; 778971637; -1; -1; 198183885; 811382077; 605113091; 50499207; 152956197; 166012998; 437855583; 872904284; -1; 732167076; 68211317; 716353862; 471496955; -1; 113822615; 847299340; 861957812; 358868913; 352008595; 718053939; -1; 592869455; 272268904; -1; 616841752; -1; 264244822; -1; 571213559; 140208713; 769470769; -1; 419706349; 916584856; -1; 28848552; 427072612; 942936809; -1; -1; 389318082; 370075434; 586196492; -1; 322769765; 402774022; 146808196; -1; -1; 943546003; -1; -1; -1; 515599874; 60796592; 771101895; 700963473; 296426975; 262841611; 656966690; 704584388; -1; 279959935; -1; -1; 828626886; 733106481; 426706342; 72025632; -1; -1; -1; 369043636; -1; -1; 121751964; -1; 524450982; -1; 80647787; 460069183; 830323542; -1; -1; -1; 352177166; 75546797; 788427157; 117173043; -1; -1; 450560002; 245953614; 306108626; 419399435; 956864932; 329776585; -1; -1; 543737605; 441916236; 529408170; 502623525; 174563535; 404695777; -1; -1; 66471797; 894408202; -1; 206005641; 476100220; -1; 530090534; 516144023; 283002022; 767334856; -1; 828700141; 384528237; -1; -1; -1; 557388066; -1; 384552187; -1; 25554355; 487534098; 562203286; 484019569; -1; 846200235; -1; 764904342; 536965292; 21578414; 109574919; 202244178; 771413316; 565908723; -1; 694386452; 189875003; -1; 310002187; 135157037; -1; 379922479; 953435196; 89965649; -1; 19396295; -1; -1; 944068208; 589827219; -1; 51560257; 805513289; 168772583; -1; 633600231; 548127681; 622878580; 727914270; 985684673; 106796134; 914347647; 798232993; -1; 470272116; 121634479; 592229008; 483744812; -1; 831065701; 449030206; 911255633; -1; 966414444; 76647402; -1; 766840893; 944531384; 167881281; 474843535; 662708113; 269387943; 209223592; 490430074; 643627947; 460193256; -1; 484450040; 827988045; 780155344; 1035807; 890831320; -1; 478163478; 804496856; -1; 415694457; 158260294; 693466607; 539909263; 16917036; 26162601; 792206384; -1; 211808363; -1; -1; 751415525; 832721971; 182716861; 816641185; -1; 410759989; 695929549; 609195308; -1; 680719363; -1; 967687938; 121982068; 24585471; 174353759; 853962195; -1; 449458519; -1; -1; -1; 829319385; -1; -1; 205119363; 419002389; -1; 865408590; -1; 165529938; 192074996; 592398877; -1; -1; 648058550; 706139000; 455626442; 642687144; -1; 257870871; 793607362; -1; 900025066; 45201143; 792371630; 354892669; -1; 822405513; 260009619; 432029397; 966034356; 318902623; 906095341; 438114324; -1; 289189456; 4405411; 741692207; 675495380; 380598371; -1; 414064872; 536856927; -1; -1; -1; 568032814; -1; 140417048; 859059448; 978168955; 578463948; -1; -1; 453841485; -1; 547600650; 517263447; -1; 560568958; 279075837; 576593840; 625643135; -1; 13253739; -1; 598668932; 447779100; 909760990; -1; -1; -1; -1; -1; 180166737; 34037492; 851919286; 664612555; -1; -1; 75060289; -1; 876564570; 865809871; -1; 919498994; 74441658; 47816325; -1; 131590056; 231080176; 658100928; -1; 267146705; -1; 199578614; -1; 289035329; -1; 226059017; -1; -1; 460742084; 127105572; -1; 3440570; -1; 924904953; 106429230; -1; 713113758; -1; 25865828; 231335831; 945067813; -1; -1; -1; 830938094; 680007969; 408293053; 436159239; 49708396; -1; 870533198; -1; 432027438; 798330375; -1; -1; -1; 161160850; 664543866; 837293295; 713228604; 481224287; 889151504; 266942393; -1; 300438692; 916812694; 387013387; 39306137; 202418245; 730988886; -1; -1; 151688211; -1; 876517750; -1; -1; 660244550; 266730550; 303286653; 312448449; -1; 199778525; 590136362; -1; 548433752; 473212992; -1; 753013525; 280340127; 828702528; 343700115; 361689910; -1; 897733624; -1; 15422951; -1; 824787328; 400179654; -1; -1; -1; -1; 828804913; -1; 494806705; -1; 201841362; -1; 454392730; 562387735; 574622291; -1; 356301045; -1; 319343294; -1; 992620674; 535679741; 983788748; 595996746; -1; -1; 406132128; 408766539; 794153630; -1; 729061701; 72494319; 289505920; 893376139; -1; 556749116; -1; 806914318; 946325803; -1; -1; 924080098; -1; 143711669; 947735898; 565608171; 31514260; 478725891; -1; 574207697; 30684635; 935483728; 885233730; 637067817; 369417751; -1; -1; 474851329; -1; 573935232; 423006223; 767951989; 525495407; 726264939; 907450561; 68428493; 52472263; -1; 623459145; -1; -1; 243375720; -1; -1; 480987552; 253107080; 654880839; 605047057; 148752976; -1; -1; 178712917; -1; 2220822; 193236016; 70147935; 702955480; -1; -1; -1; 792349091; 615807992; 464546431; 142168932; 876736680; 725306293; 168804549; -1; 718757687; 976608891; 774995031; 922360608; 75069608; 258713138; 505673157; 95856922; 251355144; -1; 766645613; -1; -1; 131597115; -1; 274117269; -1; 359471049; 950855356; 412400380; 778164892; 874769286; 762529745; 171435685; -1; -1; -1; 181507489; 762150291; 602351842; -1; -1; -1; 132472493; -1; 736743076; -1; 370253081; 137169270; 273805350; 352310131; 330802569; -1; 10784991; 303512358; 363541669; 872264989; 601901516; -1; 583185695; 354538321; 854385609; -1; 465657989; 985773163; 15612396; 866494836; -1; 352215454; -1; 487835801; 522319432; -1; -1; -1; 35022616; 149183018; 699985755; -1; -1; -1; 384284598; -1; 459435998; -1; 733440030; 963244101; 721627178; -1; 72352605; -1; -1; 27413501; 292040048; 587061931; 105749426; 907221253; -1; 494186457; -1; 242002456; 232377726; 680134750; -1; -1; 411952866; 129842685; -1; -1; 507449948; 435752422; 39266794; -1; -1; -1; 591895274; 466398687; -1; 64717934; -1; 229515817; 453355741; 770282637; -1; 129201809; 538701582; 473541487; 832602658; -1; 649902840; 339212142; 144828185; -1; 920064843; -1; 534294580; -1; 423047035; 926370237; -1; 376700101; 33619167; -1; -1; 814844274; -1; -1; 730585492; -1; 175761030; -1; -1; 96599601; 947716588; 464960392; 874007115; 154915754; -1; 679109252; -1; 282635271; -1; 326420285; 727137372; 42917999; 560706494; 44902020; 85403606; 804093985; -1; 130907759; 638241752; 936697734; 988143120; 944266949; 120965784; -1; 69784158; -1; 359308489; -1; -1; 788972678; 429456299; -1; 829449007; 824606784; 568354462; 241876795; 577396053; 284134726; -1; 51640376; 833297010; 803597729; 172971818; 746458617; -1; 211651303; -1; 105440686; 376838728; 43729322; -1; 494529597; 4224261; 850764291; 141670085; 181571401; 33669861; 165634158; 595077181; 272472508; -1; 904451018; 231827435; 828201299; -1; 547390368; -1; 800850940; -1; -1; -1; 727249025; 41889932; -1; -1; 108990483; -1; 984069703; 570712735; -1; -1; 931569695; 976285611; 875211676; 92419727; 450334726; 673827179; -1; 444243890; 302056513; -1; 560780727; 41828365; 37060365; 633682884; 389736800; 446240916; 888096566; -1; 298042128; 639353962; 670211035; -1; 21437108; 300891758; 312376614; -1; -1; 982974408; 758257301; 48657587; 988510603; 817335633; 315475029; -1; -1; 593183206; 785771521; 616567126; 317822491; 76485299; 804350327; 882563281; -1; 921696329; 15653185; 568678491; 863378076; 53274029; 111326416; -1; 680211325; -1; 84926340; 149532357; 756036392; 231935729; -1; -1; 462786143; -1; -1; 846685348; 698976812; 740853651; 630313234; 737635247; -1; 189569818; 925530236; -1; -1; 614130411; 333869598; -1; 841400225; 53333494; 65878102; 424865895; 478800149; -1; 360799468; 16431138; 878415256; -1; -1; 618755228; 978558196; -1; -1; -1; 194118894; -1; -1; 858709447; -1; 371731918; -1; -1; 232796599; 918758038; 222522870; 219212106; 543897828; 64815772; -1; 155391382; 766521004; 965630652; 925305204; 8545285; -1; 379894585; 39188799; 584223050; -1; 634448577; -1; 443876909; 325691941; 907776177; 746330058; 867122748; 387062311; -1; 766662108; -1; 167880983; -1; 328372010; -1; 729153454; 785886065; -1; 220336566; 421203051; 971779090; 447120780; 848111234; 857804637; -1; -1; -1; 601730640; -1; 213708768; 401411697; 60698914; 428076415; 717143817; -1; 487382690; -1; -1; 101351921; 341466971; 116132671; 893306465; 115520138; 997212418; 335002739; 125063190; 347076882; 200666095; 664469577; 747574801; -1; -1; 552974290; -1; 722500749; -1; 676738638; 467970999; 121828744; 4257058; -1; 789516300; -1; 558404817; 39813537; -1; 254107664; 926674063; -1; -1; -1; 847818564; 45930763; 239772518; 746956571; 486583237; -1; 796759765; -1; 816051724; 909988366; 863270078; 99254260; 833032307; 448635214; 873629008; -1; 794545127; 687114016; -1; 189526527; 262237161; 185314422; 499537478; 560244065; 795788560; 44056666; 805370923; 604408427; -1; 501360645; 464066960; 998816179; 212782648; 248518467; -1; -1; 990361168; -1; -1; 847804040; 61116726; 631973655; -1; -1; 847194636; 219969552; 761634949; 358417094; 671749286; 326635052; -1; 778572542; 914813733; -1; 360494451; 738239465; 761609118; -1; 525490214; 630977933; 676612990; 813820722; 389632668; 475637954; 978492960; 685008276; -1; 736914763; -1; 394422041; -1; 747841847; 617373112; 879547061; 675278758; 4590738; 585584036; -1; 9238212; -1; 779967947; 84439724; 923834532; 297784039; -1; -1; 943764021; 650499503; 867984745; -1; -1; 645619978; 632946142; 490244752; 490178846; 799783997; 329443089; 27478452; 419857436; 63772524; -1; 935277369; 143271041; -1; 958683376; 397685040; 726257776; -1; -1; 917104566; -1; -1; 513075308; 711259383; 450148139; 662500185; 505317631; 426263662; -1; 883128890; 767401816; -1; 425451380; 326351460; 179148486; -1; -1; 997932216; 932059914; 220219666; 19324159; 512165050; -1; -1; -1; -1; 814417651; 435246890; -1; 994273327; 541479267; 611027453; -1; 371642607; 332268147; 906145580; -1; 794465129; -1; 697746763; 199363067; -1; 368171116; 744818884; 996430806; 210280113; 503036640; -1; -1; 995006118; 498865975; -1; 112303813; -1; -1; -1; 737370012; 910794136; 105420269; 563628045; 641065534; 805253991; 912579454; 186321486; -1; 87924679; 235794305; 362955561; 433052472; 325811934; -1; 777234071; -1; 384226585; 261059234; -1; 987609823; 130403505; -1; 731846153; -1; 952337533; 766130569; 522030362; 344688998; -1; 43527921; 164037051; 271836869; -1; 408215017; 843597955; -1; 409128585; -1; 966078702; 762943302; 166807196; -1; 795917423; 364944425; 58297031; 763425592; 771035850; 359324954; 89397423; -1; 655901940; -1; -1; 174726605; 519154261; 925894137; 750367152; 360964031; 243308690; 40218026; 51800867; 116063272; -1; 218308919; 561838455; 292221685; 38902578; 948831029; -1; 657693838; 379004565; -1; 288686466; -1; -1; -1; -1; 666120624; 419484331; 699297557; 33432826; 560161309; -1; 325607250; 722694148; 682836139; 38005806; 682674920; -1; 683053989; -1; 315032994; 839033924; 574110372; -1; 544670654; 282374473; 210247034; 344584347; 526036134; 538377194; -1; 82485017; 562558528; 732160508; 921083955; 901648298; 472797491; 881786323; 459162907; 422869209; 122294640; 697413321; 829077385; 109816095; -1; -1; -1; 129216664; 754596081; 357056068; 446466192; -1; 902258453; 879346540; 555063859; 713382121; 995089484; 348136358; 983568496; 901071497; -1; 785314085; 588122336; 577069918; 100512824; 604484905; -1; 8313541; 704204626; -1; -1; 447248432; 315136284; 218451163; 2919567; 327296802; 325998765; 247396260; 714091942; -1; 308596756; 345843575; -1; -1; 33914370; -1; -1; 508389323; 518730590; 251713688; 374225601; -1; 481060082; 634701616; 855171957; 986425191; 494269018; -1; 258333580; -1; 406137243; -1; -1; -1; 155811630; -1; 398302929; 856757949; -1; -1; 90970135; -1; 239027365; -1; -1; 64443092; 271970872; 509638945; 806462310; -1; -1; 637508413; 739584303; 583369811; 744033134; -1; -1; -1; 259191257; -1; 355875743; 897911962; 938947473; 731770989; -1; 931318714; 791094105; 38180219; 616837922; -1; 356424049; -1; -1; 624031448; -1; 955946437; 360134859; 156497359; -1; 585421279; 306332436; 429301153; -1; 963650618; 889839754; -1; -1; -1; 534523299; 359455632; -1; 939439105; 630961115; -1; 950238013; -1; 542064915; 6715722; 322588925; 122132194; 440170429; 410174895; -1; 446928917; 145585105; 566187328; 611695886; 261731924; -1; -1; 756939910; 572685566; 962502126; -1; 509147205; -1; 279032231; 999044389; 288289172; 198648058; -1; -1; 739170315; 818644477; 796811505; -1; -1; 421532284; -1; 433084321; 981349164; 898594316; 646957405; -1; -1; 617781580; 827688353; 686037483; 868903301; -1; 365938370; 475828643; -1; 366318906; 567406660; 399870839; -1; 821184602; 348928990; 871789619; -1; -1; 675609544; 734665943; -1; 497081944; 350050789; -1; 158502176; 90572827; 29880418; -1; 36903510; 199079538; 181748215; 192931388; 586401001; 285489371; 523746787; 867321110; 615405610; -1; 240389241; 256933951; 840890184; -1; -1; -1; 324418870; 984589395; 335428504; 608761944; -1; 712395431; 675649899; 583845647; 452953115; 113728335; 741524754; -1; -1; -1; 545236700; -1; 731478816; -1; 534593110; 523504314; 464567471; 712989300; 209464520; 250212024; 747944993; 763735257; 147033469; -1; -1; 415244049; 115574916; 222677124; 603194335; 460214136; 793539153; 241593246; 494164298; -1; -1; 952380575; 339584305; -1; 184557288; 330667920; 212834093; 456311431; 677768692; 307908900; 4484853; -1; -1; 404815821; 370865460; 605809365; -1; 447226019; -1; 302804852; -1; 337279322; 131172422; 573320180; 785556794; -1; -1; 457456159; -1; 439001618; 889549385; 626956908; -1; 338642293; -1; -1; 365986432; 103657770; 543044555; -1; 477688529; 729692152; 70775086; -1; 153313025; -1; 982041279; 545946949; 667044464; -1; 290959627; 745183791; 235885940; -1; 238873827; 385459572; 336730597; 827770237; 765970101; 630225057; -1; 963605446; 460559618; 81458290; 299604584; -1; 686617164; -1; -1; -1; 250114259; 54059374; -1; 606077443; 11805713; 497369913; 396651819; -1; -1; 530417676; 374511846; 591846465; -1; -1; 954326213; 610846221; -1; 668166864; 273945166; 827066492; -1; 754934048; 802459302; 203996212; -1; 967559846; 765562913; 638834174; 759048837; 633989413; -1; 11324213; 343159940; 86049173; 170352944; 866197892; -1; 808735485; -1; 375485009; 530785052; 472631754; -1; 46222161; -1; 164294228; 248810106; 872342147; 835220295; -1; -1; 751596699; 602091826; 785778826; 589779315; 162956939; 367508115; 773160093; 301901756; 406347746; 10087234; 765848718; 768421814; 589879510; -1; -1; 774630154; 479002820; 76099811; -1; 19820447; 64738540; 863504152; 410721725; -1; 827936258; 674002091; 654298334; 153624075; -1; 383264891; 997817472; 28350025; 548229517; 915012844; 615420061; -1; 744097510; 207112700; 176402511; 851669417; -1; 482638344; 314411399; 148131874; 835931388; 9491989; 474635635; 210830311; -1; 527750693; 61380892; -1; 858612565; 139735712; 294057059; 10139742; -1; -1; -1; 97252228; -1; 707680679; 225095514; 289999656; -1; 431019034; 659234195; 822704635; 798197916; 954748945; 229637037; 621011682; -1; 374925001; 872587909; 260820207; 599269416; -1; 951498489; -1; 232544837; 759096270; 387583746; 805494668; -1; 508579443; 218173438; -1; -1; 359327494; -1; 920466841; 167029831; -1; 154815678; 19000326; 463402297; 12166281; -1; -1; 703234022; 808986572; 643388197; 526153605; 913188180; 682896125; -1; 435999003; 537514143; -1; 635468397; -1; 636843348; 564629819; 675366008; 585096363; 756970576; -1; 307579434; -1; -1; 560599349; 570521169; 615285189; 177675183; -1; 717036291; -1; 17187732; -1; 790130729; -1; 294464128; -1; -1; -1; 994580453; 889850383; 428859592; 819454875; -1; -1; 603604903; 847210225; 563645936; 352194894; 279474619; 26141557; 920030142; 318049473; 124330006; 968277996; 528112485; -1; -1; -1; 244441971; 792926247; 187049969; 82961081; -1; 937469942; 571626521; 190002758; 261107175; 866930757; 81029921; 174848046; -1; 429198733; 314239970; -1; 380882390; 761073621; -1; -1; -1; 700416911; -1; -1; 797062694; 994252268; 228532799; 121321716; 528322088; 378328540; 647054900; 528726885; 166812041; -1; -1; -1; 122066762; 651991623; -1; -1; 632448201; -1; 719752541; 103924911; 130846239; 491433192; 227393246; 729447114; 691173896; 301320045; 503261100; 738819294; -1; -1; 476910019; 312727423; 511320006; 181977576; 99487863; -1; -1; -1; -1; 39343225; 779768028; 670058303; -1; 283425992; 768466934; 207303; 995635657; 99556304; 626844054; 100891725; 449316222; 897411554; 119113878; -1; 610363973; -1; 757750896; 86034924; 847127392; 907475706; 985609620; -1; 611433968; 917969062; 27064742; -1; 946616279; -1; 821598913; 533302506; -1; -1; 480128166; 669243249; -1; 259075013; -1; -1; -1; 150790098; 193735567; 267801020; 317039532; 388502126; -1; -1; 446233062; 576352435; 600617537; 374507574; 488867977; 840429; -1; 860737411; 323831706; 703205658; -1; -1; -1; 29159413; 987190783; 573354993; 994986282; 429395851; 703281141; -1; 963149171; 667389271; 691455266; -1; -1; -1; -1; 805682352; -1; -1; 354536855; 123745902; 349490958; 161433389; 745533654; 300957050; -1; 504188284; -1; 544642128; -1; -1; 510374854; -1; 162924808; -1; 400936844; 797946340; 959415430; -1; 801697015; 369173165; 279828566; 478805892; 156829124; 179120095; -1; 397832746; 247965441; 894478750; 964694130; -1; 312299562; -1; -1; 793345194; -1; -1; 460844983; 843087727; 407582419; -1; -1; 625999452; 315643494; -1; -1; -1; -1; 398008313; -1; 733340976; 326094707; 72889142; 54446120; 731466497; -1; -1; -1; 532328921; -1; 964074738; 544497457; -1; 179262485; -1; 134499650; -1; 904580426; 525271267; 334546237; -1; 802824422; 412110130; 229498440; 675320434; 967334243; 101512018; 438893761; -1; 473278228; 327981938; 194020165; 981278262; 82579757; -1; 993117391; -1; 617216646; -1; 964308493; -1; 290367231; 716024790; -1; 43536193; 639592520; 841263543; 271957746; -1; -1; 981686243; -1; -1; -1; 756870529; 889186829; 754045012; 909512861; 733506005; 22322168; 37765996; 836976472; 740358051; 216151793; 575546991; -1; 56888214; -1; 282159754; 209605721; 899071909; 718361620; 256884415; 212033622; 413369575; 732648945; 490605327; 579107084; 575138963; -1; 554547428; 593096618; -1; 317762394; 250751560; 61161889; -1; -1; 495588611; 330676778; 471016045; 622988418; -1; -1; 481057062; 487060235; -1; 469741378; 942752970; 884022606; -1; 221819126; 218180084; -1; 7084567; -1; -1; 863310739; 401845768; 876831447; -1; -1; 14202114; 122734561; 455035698; 487514322; 754728969; 911873668; 1246709; -1; 612562543; 353474147; 228718637; 306959451; 109105762; 914563710; 46962099; -1; -1; 749536052; 964755837; 78273408; 510026013; -1; 967070562; 786672132; 821346027; -1; 632279412; -1; -1; 333047663; -1; -1; 224202300; 581399210; 245981604; 498656529; -1; 123963732; -1; 627658926; -1; 642939343; 330483122; 171807769; 783643525; 425320319; 966091517; 341343999; 954602729; 634458682; 608878558; 409464605; 757245741; -1; 863084670; 215380733; 614200832; 901149599; 958293558; 33308017; 50930221; 574231238; 397323806; 96527575; 588999819; 197554802; 543597291; 418887345; -1; 81153489; 5531534; 486812575; 163463134; 544308709; 927443611; 790837223; 535509196; 83843310; -1; 550172428; 966196811; 887615340; -1; 649222733; 728739125; -1; 494271731; 854354807; 487131699; 906778492; 113643440; 37641150; -1; 550266391; -1; 834826988; 678395891; -1; 622721430; 508530781; 226087740; 429405434; 396065726; 124344709; -1; -1; 822769985; 918904324; -1; 463468937; 917351821; -1; -1; 638988931; 79305814; 131060246; 581832459; -1; 434362021; 598841369; 739826469; -1; 637500479; 747699390; 973111934; 647982912; 489253656; 9464615; 110595732; 956628923; -1; -1; 945825493; 476475043; 184568082; -1; -1; -1; 653138610; 25366187; 290081520; 279579119; 812871054; 337478540; 272199939; 215826354; -1; 568432145; -1; 426375812; -1; 25831561; 188996903; 459851978; 861139065; -1; 499624749; 467798780; -1; -1; 606392672; -1; 517896544; -1; 31571276; 333056475; 533440886; -1; 998888220; 703796213; 960300214; 531529415; 14209287; -1; -1; -1; 983974875; -1; 607170751; -1; 858035778; -1; 645835557; 719481056; 80939683; -1; 846086033; -1; -1; 184506787; 461964442; -1; 36993412; 576499429; 558057677; 629553035; 197081852; 871330736; 236921967; -1; -1; 303308949; 732175668; 462690133; -1; 410330301; 971705420; 231031993; 12509892; -1; 32731266; -1; -1; 458802604; 733503516; 67692401; 897876597; -1; 438016173; 59475567; 980582644; 606345441; -1; 966208084; -1; 989434989; -1; 775580587; 998376747; 114822288; 112680420; 190660364; 553602125; -1; 711039799; 472812795; 905351612; 713747324; 934598838; 586771055; 62750895; 857638600; 986419907; 254327499; 121944554; 432597803; 581889600; 135924121; 29891754; -1; 310385869; 35273393; 13161720; 6314010; 379305484; -1; 405973193; 985570288; 792228044; 255741348; -1; 819755693; 100255108; 504768038; -1; -1; -1; 892148104; -1; 12912649; -1; 758696566; 683594353; -1; 806872445; 942153929; -1; -1; 10220816; 187042812; -1; 268232575; 655082096; 239552415; 137344666; -1; 726363286; -1; 406381938; 775622057; -1; 240614156; 165916184; -1; 798931677; -1; 345371023; 469642519; 447351467; -1; 472229279; 778231916; -1; 426071224; 778526184; 997521687; -1; 504242950; -1; -1; -1; 726269581; -1; 232834947; 52585624; -1; 596552995; 645866891; 402108634; -1; 902358653; 964377839; 358423999; -1; 683261843; 550981172; 593457304; 895574504; 636660686; 663156559; -1; 383351602; 315685452; 333675487; 753901647; 235258425; 502766898; 981278233; 972351574; 545314585; 509894093; 963043343; -1; 307138501; 208288523; -1; -1; 814052057; 106897973; 464254101; -1; 944066378; 701147376; 817108204; 58057266; 694203509; 400869305; 130293273; 121323929; 108413099; 576235889; 141193362; -1; -1; 522523748; 536960834; -1; 516260475; -1; -1; 598361168; 182000679; -1; 212620777; 58270012; 4562568; 479486354; 960261179; -1; 989745032; -1; 355232056; 314623135; -1; 975355187; 75085887; 906158416; -1; -1; 470526684; -1; 881521115; 259465749; -1; 590996576; 211182649; 307786093; -1; 771594007; 29250309; 156186845; 945015482; 482742817; 257377720; 424032406; 650578573; 131525983; 52055388; 641637668; 44169285; -1; 68648638; 146923275; -1; 363889420; 802568469; 134705390; 167536332; 953641465; -1; -1; 223739107; 19163029; 220291030; 482648421; 672939252; 416205636; 691089560; 792240125; 221145638; -1; 593248262; -1; -1; 707462714; 12138302; -1; -1; 879711038; -1; 658974637; -1; 442569585; 130601971; 922180596; -1; -1; 710794682; -1; -1; 62919060; 908439814; -1; 358056841; 408364266; 594760714; -1; 294198899; 653033794; 766061993; -1; 473045874; 815739291; -1; 758245157; 552543391; 108355592; 96092382; 936223841; 887153786; 175851853; 895797707; 63188544; -1; 84180855; 63404342; 22424408; -1; -1; 509049287; -1; 529962900; 201504380; -1; -1; 288419105; 981537810; -1; -1; -1; -1; 781118571; 658891567; 151555693; -1; 549585717; 954512779; -1; 931483836; 559980543; 304715278; 65232506; 532976462; -1; 983243675; -1; 181786754; -1; 93541501; -1; -1; 429521561; -1; -1; 555499666; 921982288; 520143442; 487881564; 939791259; 321537637; 996916399; 451812138; -1; 146887091; 794624225; -1; 172202845; 115035971; 712381870; 65252452; 168946159; 611826840; -1; 955710741; 731951417; 343816809; -1; 239619023; -1; 561731986; -1; 478849154; 70419887; -1; -1; -1; 915953564; -1; 183478603; 147501313; 28500121; 209436436; -1; -1; 22596405; 799873388; 440873774; 208422336; 215082581; 784871439; -1; 438859974; -1; 65781332; 399597216; -1; 579578571; 11445343; -1; 432625254; 149004654; -1; -1; -1; -1; 511384639; -1; -1; 453913944; 850665601; 670328007; 975926460; 291626461; 467569900; 348654472; -1; 632456188; 945141507; -1; 498800444; 13356509; 284930747; 437083597; -1; 29831115; 493639947; 954851183; 418325291; 34755217; 954575765; 614963216; 605229589; -1; 312857500; 639490910; -1; -1; -1; -1; 283238364; 922326922; -1; -1; 400385946; -1; 729926422; 243965947; 155210932; -1; -1; 949713677; 722666873; 122118845; 736006994; 867512777; 763908112; 861711497; 413633944; -1; 356908178; 482756438; 672855428; -1; 885059790; -1; -1; 863610691; 521382090; 741105504; 866855418; -1; 725623198; -1; -1; 214900295; 450543744; 197774690; -1; -1; 670720586; 3933229; 716633264; -1; 966514712; 934346708; -1; 997247578; 407782636; 464416357; 7473950; 145644261; 187665801; 569316803; 191877862; 97899135; -1; 862371348; 28889791; -1; -1; -1; 360179243; 577778046; 996084729; 306430777; -1; 922198235; 275567394; -1; -1; -1; -1; -1; 279739222; 184503229; 204854491; 89518843; 882009384; 650258256; 803014487; 899095469; -1; 44660340; 681367040; -1; -1; 622175579; 605957654; -1; 678438023; 153341354; 31126199; 572419456; -1; -1; -1; -1; -1; -1; 66425521; 504925101; 983185619; 660889503; 559713788; 738394666; 456057104; -1; 540440387; 44810327; 226133964; -1; -1; -1; 57333727; 148129353; 520796211; 329365548; 283302559; 264408936; -1; 405321797; 832525260; 276667141; 98975310; -1; 36818524; -1; 491151940; -1; 988374700; 543174894; 11177524; 96280415; 748523108; -1; 165766954; 59276332; 289227292; 398115577; 980877613; -1; -1; -1; -1; -1; 971274647; 847250834; 369359578; 606120152; 675312459; 947799240; 374349922; 797977614; 807927806; 166382265; 613318770; 127157290; 642079228; 682947634; 468878090; 634347192; 727770464; 451133097; -1; -1; 858323490; -1; 824568277; 246215685; -1; 535513341; 144708767; -1; 972609650; -1; 645704983; -1; 776179110; -1; 673947217; 401411220; 448277211; 67003556; 514608667; 647121419; -1; -1; 1870131; 959303822; 245417948; 564620587; -1; -1; 959769721; -1; 777928048; 561650992; -1; -1; 316448541; 498030632; -1; 112755809; 735059910; -1; 767705683; 20461856; -1; -1; 129964643; 927026599; -1; 410817440; 913644244; 759210081; -1; 689517124; 894957426; -1; 891042175; 632953188; 566872934; 893357363; 556635621; 380904522; 731528625; 380621887; 591916207; 994187527; -1; 103292280; 100179300; 452943331; -1; 329613892; 273949755; -1; 34314500; 523986337; 742508983; -1; -1; 7585714; 987724759; 153027356; 305880842; -1; -1; 565926495; 899253662; 516812347; 672825470; 473303313; -1; 292110445; 273894610; -1; 935761793; -1; 855628455; 594966219; 125385467; -1; -1; -1; 644957146; -1; 5968628; -1; 584955759; -1; 349610472; 82424008; 25880413; 218281445; 18093876; -1; 186282554; 359548147; 387189664; 357274183; 121297805; 866476351; -1; -1; 528016297; -1; 72684018; 392640468; 636112160; -1; 621484690; 344938410; 749162425; -1; 47702422; 762966396; 102228987; 525662082; -1; 769108063; 362822011; 998015867; -1; 576813182; -1; 767224497; -1; 465657237; 694807003; 904562285; 465406280; -1; -1; 781038027; 309786090; 982008069; -1; 959533217; 394328981; 501273975; -1; -1; 389438349; 658740220; 901566963; -1; 620766215; 435617098; 958297857; -1; 279676936; 514136142; 298141131; 487418253; 373882116; 919431473; 119185779; 72820174; 395386035; 645895262; 514859969; 186956551; -1; 904963384; -1; 190308614; 835330766; 165195539; 85687063; -1; 221367339; 217909825; 516727774; 589040484; 725078092; 179389326; -1; 284711448; 801729257; 326006573; 117551686; 55456601; 506394150; 584606700; 285587275; 916303101; 135882177; 32544192; -1; -1; -1; 139546928; 478644502; 728609928; -1; -1; 720747883; 569827060; 880847475; 829679227; -1; 475789429; -1; 839913275; -1; 178029218; 131730172; 104201329; 743370437; 445880692; 999812123; -1; 319337676; -1; -1; 250667655; 714608230; 756184399; 281789888; 245900940; 281181858; -1; 666118574; 142507719; 718588900; -1; 962409181; -1; 934500492; -1; 467436464; 718708520; 227237535; 289656613; -1; 591765138; 360882146; 559717889; 13550819; -1; 819684687; 377041863; 439588779; 335656995; 128010147; 424841961; 694723443; -1; 331453608; 154786961; 174277611; -1; 293659969; -1; 756981312; 457098618; 389912135; 264377968; -1; -1; 175960183; 267081123; -1; 14133970; 339238465; 358167148; 821450638; 482359021; 379576062; -1; 124722208; -1; 156643326; 425718029; -1; 563342168; 908392052; 658286689; 377018909; -1; 158096298; 395469635; -1; 613211476; 668890099; 576279389; -1; -1; 489654053; 253914305; 841161937; -1; 127905458; 90144680; 824702855; 773134072; 698810635; 175569026; 598733154; -1; 772848506; -1; 255475686; -1; -1; 900307990; -1; 131889488; 368332213; 127998388; 654865101; 506530665; 311677682; 261807481; 362708415; 143893955; 339165504; 706154128; 518915540; 571373191; 717286245; 829967756; 679223111; -1; -1; 602306098; -1; 643463704; 345909805; 651226246; 191705433; 639257236; 498117547; -1; 937156516; 300781983; 485114822; -1; 217202812; 449387769; 337493301; 304962129; 70648418; 658379701; 914575950; 273483836; 2902712; 140030342; 245384847; -1; -1; 39811004; 748552882; 48275981; 58196252; -1; 398376700; 194153253; 324739230; 951264758; 481776951; -1; 904327728; -1; 499315654; -1; 546910128; 262133062; 441183455; -1; 244307062; 488868504; 364769741; 106571645; 167126109; 637502841; 135187499; 112850490; 635499732; 4617873; 333741684; 241129161; 469499023; 969284458; 122582032; -1; -1; -1; -1; -1; 567928464; 536870612; -1; 60389102; 705812933; 367555265; 675959197; 365794464; -1; 59731649; 1026585; 585018874; 239535739; -1; 931326144; 653413633; 337261405; 633698032; 849796167; 360905567; -1; -1; 106926389; -1; 426164466; -1; 381745527; 764671219; 743750556; 454554825; 887192211; -1; -1; 927713216; -1; -1; 78134117; -1; 472997161; -1; -1; 296644929; 8970542; 1810694; 50548450; 533380867; 339156604; -1; -1; 980872981; 211768003; 147514714; -1; 804389638; 613429474; -1; 443283539; 209779237; 794346082; 351292484; 834524519; -1; -1; 291121240; -1; 989520494; 440776717; 464131903; -1; 604814693; -1; 869015197; 553926273; 472847685; 963086563; 496047087; -1; 915892788; 481804523; 536072390; -1; -1; 643943519; -1; 613194080; 233505737; 321407264; 284517580; 626067232; -1; -1; 690249808; 114852086; 904859914; -1; -1; 622486615; 359575888; -1; -1; 734728865; -1; -1; -1; 9415522; 529996650; 451979121; 339903617; 5400925; 251633844; 962355929; 26287671; -1; 574167522; -1; -1; 195836354; 780431759; 795771222; 980508163; 807988666; -1; -1; 85140150; -1; 143399167; 977362295; -1; 141454340; 61412669; 850465212; -1; 480602931; -1; 618080133; 550831625; 899832715; 267242819; 103113533; 862465522; 849352827; -1; 897568981; 27014925; -1; 481581851; -1; 241526530; -1; 786694366; 478579431; 612758187; 148160459; -1; 125003598; 735729723; -1; -1; 16713341; -1; 448375325; 479670220; -1; 936013134; 935796440; 641002766; 75328366; 53539954; -1; -1; 282985591; 534750059; 545219864; -1; 305286448; 818629490; 194983260; 873638961; 117088346; 309718907; 940838717; -1; 832745024; 71414136; 20589534; 258926389; -1; 236067962; -1; -1; -1; 400011464; -1; -1; 614328898; -1; -1; -1; -1; 978416473; 158475776; 872773089; -1; 696555672; 288543312; -1; -1; 473479052; 375676844; 520028122; 181582771; -1; 951457636; 313177328; 989925781; -1; 21482100; 256592002; 933990897; 858706992; -1; 255231844; 453611913; 227718694; 969348656; 629402062; 178308512; 893782482; 509869678; -1; 11695178; -1; -1; -1; -1; 647580378; 135813211; -1; 527141786; -1; 654091422; 848257116; 477083782; 901722783; 316621062; 46086387; 465565683; 790513239; 505660717; 227125232; 214741753; 339822959; -1; 93145053; 465761431; 545327423; 704852649; 219430849; -1; 17276403; 310159880; 187795311; 124638315; 585480537; 860692412; 976522989; 695218649; 633718454; 623768682; 336165006; -1; 61978358; -1; 721668626; 420817463; 705751864; 408229357; 983415369; 339692347; 565646241; 804561983; -1; -1; 880646207; 595137354; 315272328; 463156273; 455091321; -1; 972417356; -1; 698911715; 51527282; 32107195; 172656156; -1; -1; 968862376; -1; -1; -1; 970553707; 266651546; 271149916; 970603374; 260308615; -1; 582540213; 968309100; 201183024; 537754671; -1; 922736853; 228274243; -1; 503374026; -1; 494383954; 416283241; 248979819; -1; 882002099; 176060404; 448607285; 516035067; -1; -1; 250105626; 334396168; 391381027; 536976384; 635565845; 425627283; 124916816; -1; 8015109; -1; 929848643; -1; -1; 447224417; 86100300; 995579154; -1; 834287478; 276174827; 618504295; 116211232; -1; 213086785; -1; 471215357; -1; 992840187; -1; 249708389; -1; 893918381; 24852886; -1; 722836582; 373647106; 521935918; 78917050; -1; 174462233; 835943651; 664983127; 38406082; 436896856; 933686857; -1; 657072544; 43057285; 882958016; -1; 884342469; 768142362; -1; 524186282; 741907217; 977923245; -1; -1; 415470027; 30950468; 202815850; -1; -1; -1; 790712770; -1; -1; -1; -1; -1; -1; 483634113; 219198852; -1; -1; -1; 237416412; 288037477; -1; -1; 676308859; -1; 741996812; 457556641; 491821755; 316621528; 187188224; -1; -1; 945015170; -1; -1; -1; 352860971; 88402211; 750884252; 989961892; -1; -1; 708075573; 592039159; 178934467; -1; 209391474; 201604263; 993492752; -1; 328609956; -1; 827138129; -1; 270347147; -1; -1; -1; 614897153; -1; 73437872; 288029824; 831940197; 586269852; -1; 431385120; 385964422; 283024880; 35903391; 596580485; 185725462; 98988904; -1; 535200213; 198988684; -1; 292495069; 900994720; 73667189; 644578627; 849975886; 543721067; 309887057; 780360711; 550787633; 600515025; -1; 91001180; -1; 49837148; 794992242; 663548003; 419301866; 116974156; 524681245; -1; 240529508; -1; 926625224; 907753740; -1; 6909889; 321984715; -1; 331338842; -1; 722059628; -1; 768443077; 246650788; -1; 843270724; 283796224; 138778574; -1; 793269339; 623858118; 990630796; -1; 964512034; -1; -1; 100349194; 353189251; 196974528; 471377725; 687569433; 745270050; -1; 243600100; 613028108; 969039650; 903923334; 308430042; 391150761; -1; 156935047; 723910914; 663688616; 568913176; 506328991; 811490991; 621585868; 621961664; 280335079; -1; -1; 871805649; 295543837; -1; 915450937; 699269268; 544068423; 440936325; 210407726; 163699643; -1; 77289198; 718704877; 407802727; -1; 263871625; 849551404; 909188134; -1; -1; 698110680; 536388569; -1; 207261296; 699107611; -1; -1; -1; 361164933; -1; -1; 152856653; 816336213; 268728633; 484527742; 704123307; 861931031; -1; 410151816; 157101631; -1; -1; 448098526; -1; 444283546; 82042905; -1; 84574557; 365340699; 8184274; -1; 645405138; -1; 187867726; -1; -1; 608938737; 465368536; -1; -1; -1; -1; -1; -1; -1; -1; 795873185; 206030644; 614200099; 124975403; 853770769; -1; 306636336; -1; 882175563; -1; 582086872; -1; 969582521; 420032453; 821971332; 27353321; 823894822; 351269558; 977476296; -1; 525107140; 6688740; 121978978; 423387541; 612239213; -1; 901162; 221877344; 566605075; -1; 56493014; 872852626; -1; 600288905; -1; 472464885; -1; 772256787; -1; -1; 516520619; -1; -1; 848402595; 874814487; 438639153; -1; 912809237; 844430359; 488669863; 589911325; -1; 297991294; -1; -1; -1; 142568915; 96557438; 370836756; 668438517; 95401300; 184294168; 560923514; 663693259; -1; -1; 623977355; 910162403; 98683798; 749659581; 374127673; 912157502; 506174700; -1; -1; -1; -1; 568357530; -1; 376302165; 618290279; 100017320; 911491391; 589806459; 845402972; -1; 615559022; 78544627; 690826104; 220452746; -1; 860403594; 897019120; 637544607; 20036866; -1; 160104184; 554286330; -1; 449394659; -1; 966721505; 83257874; -1; -1; 713231712; 587735018; 942806338; 875864209; -1; -1; 586636927; -1; 316313686; -1; 904650772; -1; -1; 156647766; 338728677; 883883288; 476212414; 322195643; 624158188; -1; 10747098; 665557635; 457834267; 159591874; -1; 575950849; 814734379; -1; -1; 534944920; -1; 553275146; 546001023; -1; 902426430; 684228288; 231587301; -1; -1; -1; 811828865; 790615232; 992186838; 94678385; -1; -1; 97148578; 764263259; 485043337; 569669424; 453042549; -1; 832537528; 621749450; -1; 557440441; 479547262; 799786747; 116022939; 825250036; -1; 410084310; 262376904; -1; 357443231; 129129567; 558391034; 639464612; 819086646; 854875398; 300394316; -1; 414094631; 756330906; 736875102; -1; 953968775; 712567927; 908020261; 610858807; 61780322; 497044370; 242619565; 935465635; 945545798; 302254941; 278423142; -1; 966511171; 927239652; -1; -1; -1; -1; -1; 402313626; 637154522; 319856995; 481961716; 21726065; 141830206; 134377678; 929795974; 557790815; 745273642; 816366231; -1; 95433159; 459832899; 24210851; -1; 317175438; 497079031; -1; -1; 311886729; 194629017; 290649093; 7291063; 528678241; -1; 672254150; -1; -1; 403468668; -1; -1; -1; 447850503; 708758773; 509093590; 581904583; 797610872; 175092681; 662343689; 813389426; -1; 579481434; 48905799; 461519114; 615975621; -1; -1; -1; -1; 143829071; 972364208; 836646080; -1; 981810361; 816685230; 372508965; 409692777; 383359021; 479693494; 582388949; 51193722; -1; -1; 569756011; 776388755; 598816046; -1; 249628718; 451364520; 848774592; 278228400; -1; 116482153; 856600720; -1; 984321064; 445393813; -1; 431510530; -1; -1; 862980051; 432869407; -1; 96712654; 704200355; 481134531; -1; -1; 911021655; -1; 44407410; 911933794; -1; -1; 234583214; 201955422; 182246925; -1; -1; 308649911; -1; 856837129; 882764687; 494488088; -1; -1; 714099920; -1; -1; 195621403; 992773126; -1; 924587377; 415888821; -1; -1; 300489168; 934629846; 977710096; 194158161; -1; 130166361; 573807734; 236402908; -1; 893487317; 833791776; 454518917; -1; -1; -1; 291486850; -1; 36711340; -1; 202165435; 923101434; 16783361; 783106127; -1; 330486856; 910018859; 672185625; 77957357; 248876800; -1; 704275168; -1; 378410424; 252275738; -1; 894138956; 320496090; 769255746; 405542938; 236145072; 960112186; 361755655; -1; 497753286; 6488547; 494077232; -1; 838159424; 549189764; 689362902; 334510811; 853480878; 586055700; -1; -1; 540658906; -1; -1; 419926248; 811566724; 935551842; -1; -1; -1; 604548740; -1; 442691632; 900245546; -1; -1; 604318724; 231773379; 810775415; 616989960; -1; -1; -1; -1; 547390185; 721830846; 129627428; -1; 33735026; 597183880; 595508298; 369704149; 746548258; 995898605; 666366013; 756881684; -1; 253314312; 467295883; -1; -1; -1; -1; -1; -1; -1; 498200274; 589863142; -1; 765368692; 550458435; 638246973; 22039503; 329528586; 17690561; 264315754; 173099708; 917934061; -1; -1; 568122320; -1; 765409093; -1; 882961836; 367710701; 945964713; 979116895; 876509044; 270431167; 197988342; 302268499; 803561279; -1; 135711604; 606920767; 883939701; 877179943; 510245398; 384495633; 223760007; 736177012; -1; 593830509; 887977060; -1; 847370618; -1; -1; 891569784; 795941519; 103309668; -1; 545618611; 348294004; 326928471; 614318921; 701824012; 386653297; 923174585; 712643233; -1; 991192728; 225212905; -1; 606499323; 657829413; 400584485; 514606865; 181422663; 402171865; 161968823; 501049784; 695546803; 160950617; -1; 690800498; -1; 391090529; 228105479; 247069080; 863976865; -1; -1; 806625610; -1; 186763350; 849250000; 559873108; -1; 337453654; 897382655; 469136985; 26061157; -1; 139458092; -1; 179177926; -1; 868042657; 864654876; -1; -1; 288823292; 336275561; 277883218; 872818331; 720009038; 562124777; -1; -1; 924904650; 899793527; 255102837; -1; 871234168; 102363097; -1; 570823329; -1; 633631435; -1; 187924882; 173122417; 334799882; -1; 654161256; -1; 207009081; 922221784; 572690617; -1; 330542454; 778254638; -1; 56892955; 362366535; -1; 82036087; 440745185; -1; 524177020; 404226625; 18086923; 215535602; -1; -1; -1; 963667207; 730374130; -1; 48160733; -1; 495840177; -1; -1; 693544636; -1; 281302322; 461714060; 70601578; -1; 897038500; 372489421; -1; 107241975; 233711460; 747765339; 418452846; 159788133; -1; 195564177; 136885025; 962049510; 888763838; 261935166; 909908792; 660674626; -1; 516353703; 969753198; 121316758; 965858906; -1; -1; 347502720; 441311230; -1; 511681563; 468945937; 978105165; 466508643; -1; 143844194; 241282968; 125433265; 187061306; 384859753; 792390491; 262618335; -1; 775207849; 917800814; 357969948; 688028814; 757935650; -1; 702070540; 812059118; -1; 561412635; -1; 486133384; 337004657; -1; -1; -1; -1; 342471849; -1; 563215894; -1; 455852697; -1; -1; 623915993; 114150314; -1; 190264332; 357399309; 567810036; 878624969; 531028390; 969993386; 785986047; 485837984; 397574678; 243625080; 435301927; 102527274; 539511263; 864612316; 122870019; 268494573; 303235915; 149532384; -1; 309358258; 458739472; 199610595; 29499194; 474358037; 576495821; 904776034; -1; 404341990; 747196475; -1; 500589638; -1; 378909530; 111277819; -1; 786872135; -1; 455441431; 248366640; 239797338; 26539725; 56822753; -1; -1; -1; 873844940; 695860342; 401822127; 181858006; 861634674; 339462369; 517203943; 324454408; -1; 794260059; 14294096; 797589059; 867770663; -1; 712724875; -1; -1; 584967328; 484122321; 694269394; -1; 471778381; 982701710; -1; -1; -1; 82723837; -1; 423577502; -1; 544205175; 980952279; 364906544; 364450666; -1; 518984322; -1; 675684392; 342624560; -1; -1; 362907308; 121523932; -1; 515030830; 410605606; 761997671; 799079516; 304661319; 750962219; -1; -1; 151517896; 661113165; -1; 519017200; 315188040; 893706849; -1; -1; -1; 237808251; 122420299; -1; -1; 702015313; 953070437; 116446442; 358868623; 192047569; 534074257; 187571352; 305031614; -1; 530394945; -1; 955134492; 410839059; 695041647; -1; -1; 995350773; 270342506; 531731976; 92702779; -1; -1; -1; 298670876; 214810948; 380617197; 938133394; 587113751; 208629041; 237179688; 683621511; 720183984; 460824756; 299481686; -1; 238142867; 673791149; 363526200; -1; 276741624; 710793243; 167332225; 877242118; 167453145; 30373349; -1; 916628594; -1; 720036729; 354935871; 807455003; -1; 466639957; 184666101; 227853144; -1; -1; 440144314; -1; -1; 412049736; 505883617; 247515307; 320524092; -1; 659361525; -1; 268317104; 707936309; 626328659; -1; 476925223; 319811160; -1; -1; 217902796; 380209802; 920816668; 199608893; 413763362; 894592101; -1; -1; 534684237; -1; 968125373; 124521759; 795580392; 658231181; 149917037; 832226384; 6772906; 622099667; -1; 387051153; -1; -1; 802663462; 788511757; 430380807; -1; -1; 17459293; -1; 596535061; -1; 430286218; 960959035; 877579377; -1; 21077934; 907982887; -1; 732448617; -1; -1; 343920657; 947676939; -1; 462487265; 490946289; 241174811; 8242448; -1; -1; 486051494; -1; -1; 492569126; 592132207; -1; -1; 497441147; 193156491; 194566796; 908492994; -1; -1; 483891811; 837122373; 89792931; -1; -1; 353012061; 317726316; 219760324; 671665848; 338998189; -1; -1; 507361801; 580019868; 902019775; -1; 347348686; 341544440; 991835353; 125861622; 401756335; 676355813; 213220049; 169557853; 991744295; -1; -1; -1; -1; -1; 421935134; 375138707; 335156308; 676260002; -1; -1; 156275307; 572240047; -1; 313732985; 898160917; 957264015; -1; 138146839; -1; 247351137; -1; 166037242; 82216213; 590976998; 545271729; -1; -1; 164183660; 628243722; 848324485; 382059937; 220933909; 498694715; -1; -1; -1; 274405698; 929750264; 194413765; 147872318; 580566087; 376915000; 907365857; -1; 703027357; -1; 341451825; -1; 654512794; 971367705; 155542921; -1; 211313677; 624250897; 339573725; 457616061; -1; 652330566; 394576112; 320852196; -1; 437174815; 557748575; -1; 233549303; 237515691; 288215126; 559993393; 698848828; -1; 184990; 910995914; -1; 137578082; 179855042; 606383715; -1; -1; -1; 674790684; -1; 820794036; 722201224; 506697661; -1; -1; 488665643; 723488436; 107530750; 476699715; 374075591; 969979563; -1; 294153740; -1; -1; 740839457; 686347984; -1; 225890072; -1; -1; 280861941; 828810212; 276732835; 132036983; 272408286; -1; 830973747; -1; 777523519; 356287556; 582828906; 821483807; 125793039; 163087195; -1; 590444531; -1; -1; 574394438; 130498015; 396884112; 61119776; 855703500; 420766893; 159553450; 834979055; 780932370; -1; 833322706; 397120911; 875075402; 521226462; 664052080; 977126236; 347287396; 84010941; 834430489; 485510990; 214584904; -1; -1; 504397325; 547150199; 737881700; 833516764; 108125787; 868855792; 209362829; 844765161; 356495475; -1; 645700345; 300975954; 129205152; 363810869; 293813659; 309269315; -1; 662376156; 835732017; -1; -1; 668854303; 220850779; -1; 600814557; 902373991; 438739051; 314975264; 591350079; 143028770; 495787821; 710800657; 130681889; 892539814; -1; -1; 68118626; 221667404; 572439717; 635561006; 272087489; 632060727; 827965585; -1; -1; -1; 953945535; 970193508; 395528174; 633391641; 953415060; -1; 311148027; 34133675; -1; 395145221; 431365180; 856751073; 1945588; -1; 886635716; 56785645; 954900518; 142174785; -1; 572468139; 34784351; 46872467; 277674430; 238523052; 997849483; 163904482; 998639318; -1; 744694309; 32654955; -1; 153119137; 399470861; -1; 753030783; -1; 45605451; -1; -1; 712234167; 871801223; 579021224; 518666521; 774788068; 648954352; -1; -1; -1; 78600966; -1; 291008388; 720809038; 296784312; 813840093; -1; 574862027; 972288776; 679536919; 168898666; 705966740; 385120065; 767112167; 829872836; 517012799; -1; 742208494; 898478437; 442664307; 22916672; 377536802; 983546898; -1; 395184703; -1; 346133097; 266641136; 557487562; 447279394; -1; 127185654; -1; -1; 893264059; 378716116; 996579562; 746091694; -1; 33669698; -1; 531175940; 394235874; 276845005; -1; 959594977; 800958523; 466972274; 429088586; 332615559; 620403367; 561506236; -1; 530332499; -1; 315185852; -1; -1; 42751497; 194964501; 143977492; 297305910; 726021468; 651176930; 968249981; 830173020; 330498688; -1; 729857176; -1; 864337707; -1; 336829912; 92396623; -1; 91319438; 817401754; -1; 842991509; 859548576; 522036940; -1; 175570440; -1; -1; 794500723; 703587222; 31008804; 751791675; 541541385; 322966139; -1; -1; 650253947; 421954779; 718366133; 129995057; -1; 389034130; 500361797; 852716930; 851166979; -1; 743665892; -1; 578276047; 715839737; 540971023; 718165618; 206581198; 353568356; -1; 723297598; 752734005; 900234196; 835695535; 489404751; -1; 2512988; 340392458; -1; 519600706; 590172193; 673715958; 444466079; -1; 855980867; 410797873; 240382819; 990564287; 726742061; 684974258; 153494344; 80566739; 400007701; -1; 785889798; 927947254; 272348991; 457205794; -1; 373553815; -1; -1; 140990709; 764742867; 260880512; -1; 593361369; -1; -1; -1; -1; 201121231; 237232597; 376401249; -1; 312705997; -1; 787863456; 494098032; 516394824; -1; 79832721; 450735313; -1; 917515276; 849495248; 340098533; 136630379; 883609008; 650185569; -1; -1; 157957510; 33753721; 769415858; 123525906; -1; -1; 662177644; 5398623; 343672373; 211330534; 551121330; 136674337; 61481684; 677577985; 393194075; 160368929; -1; 663217464; 801295749; 239242835; 434337186; 316981843; 764357767; 374854501; 165120016; 796871881; 382580058; 706863158; 501228563; 973942839; -1; 950177383; 202049489; 20265361; 259141775; 777415139; 669905096; 846316790; 39516947; 565119391; 667571696; -1; 601655108; -1; -1; -1; -1; -1; 17589119; -1; -1; 573353581; -1; -1; -1; 88676132; 832914234; 603639864; 905717325; 47305557; 553949598; -1; 305448431; -1; 554484939; 921009251; 801381053; 66379139; -1; 733212251; -1; 260994791; 939753066; 92546903; -1; 465607061; 709246145; 294097906; -1; -1; -1; -1; 5269691; 615393879; 79921838; -1; 68921861; -1; -1; 794931715; 603705256; 59336402; -1; 215449187; -1; 432079671; 81618007; 252356810; 705896414; -1; -1; 810719312; -1; -1; 551794254; -1; 186921197; -1; 733864120; -1; 116842436; 853807369; -1; 300974554; 898147596; 830854219; 991874912; 689505729; -1; 35702845; 805858779; -1; 728370927; 374180685; -1; 250147911; -1; 13109062; 145606965; 684834933; 227987611; 24378162; -1; -1; -1; 516210574; 133983538; 695193035; 360313268; 859831416; -1; 270001720; 750231108; 156443872; 355469881; 235887770; 13956823; -1; 758910853; 652492221; 18574260; 124378142; 312552587; 56151089; 909119046; 31508596; 176650247; 401158193; -1; 36720184; -1; 54153900; 371414387; 653677790; 363133173; 989438809; 234253309; 822782571; 428358529; 918361305; 826317842; 116794222; -1; -1; 220755405; 843726134; -1; -1; 697367348; 912391524; 897532479; 843621059; 604473290; 599105787; 976097040; -1; 958999944; 275283281; 438217612; 468740560; -1; 640461250; 676876577; -1; -1; 205710835; -1; 748529406; -1; 141272278; 317301998; 727153411; 615702241; 484627629; 184232642; 74317861; -1; 675385928; -1; 802113877; 838835218; 452372414; 594745083; -1; 197967643; -1; 463665512; -1; 916255942; 764174092; -1; -1; 585926384; 79792391; 202849583; -1; 492971533; 418978308; 576564842; 314556912; 311555602; 235937694; 964218669; 698399796; -1; 811007602; 619224499; 121410469; 284255496; 812832582; 900313862; 996680183; -1; 235964481; 116231312; 847920823; 996057878; -1; 560653659; 661275038; 662551347; 397231943; 824937567; 909340834; -1; 873796457; 764129350; -1; 572546302; 427780934; 357914249; 16021414; 357891630; -1; 781445224; 972796979; 160172567; -1; 862261908; 53517455; 878677447; 518699789; 856656367; -1; -1; -1; -1; 717962625; 638962058; -1; 189090353; 771021424; 476639272; -1; 183057984; 554561759; -1; 725296390; 883450763; 672977863; -1; 630971255; -1; 555946770; 659185922; -1; 282128576; 880686304; 355704801; 726101816; 191767255; -1; 202361488; 88057563; -1; 873640691; 816770923; 896262042; 876501038; 143588877; 292832824; -1; 450893035; 984407812; 314705705; 134086722; -1; 433729119; 12901251; 280186598; -1; 80844486; 803452873; 240227819; 746406729; 968586787; 848124965; 308183453; 65257477; -1; -1; 856151311; 175796123; -1; 687636922; 770084179; 80585408; 488150748; 117759760; 966131268; 16352322; 708065311; -1; 512759350; -1; 668571277; 652177946; 618092916; 636681320; 690970914; 888525459; 636639786; 774753393; 659355368; -1; 199657817; 884203182; -1; 707127392; -1; 822561874; -1; -1; -1; -1; -1; 246676132; -1; -1; 91815753; -1; 983440986; 636366320; 206751006; 281003922; -1; -1; 548657080; 715215789; -1; -1; -1; 608111147; 356961600; 393161746; 479071520; 436818961; 632838979; 112191248; 466655590; -1; -1; 967512099; 227167263; 945158459; 547910043; 480576106; 896299094; 74560210; -1; 153526489; 594271034; -1; -1; 446030572; 753394342; 835414978; 120561177; 345692294; 633340541; 339290979; 537059220; 276553432; -1; 339941791; 728830486; 228343640; -1; 697481017; -1; -1; -1; 969394065; 598995149; 400423102; -1; 100457646; -1; 224871643; 998243389; -1; 330064481; 36010265; -1; 944643366; -1; -1; -1; 266569478; 719239197; 28441238; 379866041; 297494640; 924451744; 800206770; 292524796; 356949766; 581019187; -1; -1; 529398394; 864015855; 374515996; 514321896; 994906862; -1; 181214182; 825108122; 458617242; 784621886; 217832902; 33680223; 212701790; 535574205; 914887466; -1; 577621331; -1; 283890503; 15596786; 115837627; 333607197; 269856181; -1; -1; 96299680; -1; 543912707; -1; -1; -1; -1; 508032452; 438899396; 260188292; 972352171; 602891488; -1; -1; -1; 644623536; 41825942; -1; 816591402; -1; 119441698; 160377101; 908394209; -1; 842706777; 7062977; -1; 351097804; 358405585; -1; 784606623; 794247199; 389723175; 498999358; 653791711; 905200825; -1; 654989776; 833778336; 576215217; -1; -1; 659340200; 121399493; -1; 419148187; -1; 663721115; 898184695; 371586158; 743359819; 412557648; 123027546; -1; 416598287; -1; 515195474; 345795146; 162633618; 255214521; -1; 81548143; -1; -1; 954532532; 126991672; 301543674; -1; -1; 151489742; -1; -1; 460276964; 462620461; 502692714; 604728743; 621627719; -1; 819557776; -1; 728115914; -1; 436908480; 594313962; 715589898; 459186225; 556149527; 862445316; 864144245; 947668302; 233226237; -1; -1; -1; 132758140; 174219253; -1; 276033598; -1; -1; 229944799; 245898075; 118513934; -1; 632196402; 706780333; 704750381; 509520794; 587774589; -1; 565283423; 287507823; 733089459; 769970446; 686768550; 573492094; 204391554; 598379964; 212036793; 541694871; 780800474; 517345379; 117062891; 514306292; 294839715; 936080926; 970664567; 25292602; 422747947; 92458954; 649554814; -1; 401389344; 836891067; -1; 174724484; 103807923; -1; -1; 639832077; 706360004; -1; 739914620; 178503350; 929019459; 925406891; 317465220; 357993864; 841435760; 713954545; 93312827; 78142658; 161834643; 870701049; -1; -1; 156631058; 214650930; 550274557; 23299387; 45311855; 313399455; 355272687; -1; -1; 96904237; -1; 19501459; -1; 791391450; 221751733; 879821161; 938159877; 9281655; -1; 741784695; 492437421; 785990772; -1; -1; 895171395; 451021298; 506934207; -1; 299049718; 630021871; 791756110; -1; -1; 511090192; -1; -1; -1; -1; 909321558; 820945168; 200323196; -1; 385384490; 669850380; 455641321; -1; -1; 326264758; 378501378; 826192258; 962051163; -1; 444542500; 439373618; 35610091; -1; -1; 592335304; 190758285; 620108843; 427627832; 590128993; 327785061; 581943476; 215222962; -1; 419819383; 98430899; 816122794; 798691122; 743112432; 222476903; -1; -1; 167350746; -1; 473871165; 182239698; 42843400; 857985473; 678556524; -1; 115678437; -1; 680257111; 88170015; 401656503; 228459659; -1; -1; 613982179; 223171690; -1; 406290056; 212423290; 754607051; 89461022; -1; -1; 415172069; 427217294; 682656594; 245274283; 370278935; -1; 850935156; 391531710; -1; 508924067; 79023382; 388229027; 595289612; -1; 371172865; 724863195; -1; -1; 629268601; 675371941; 809497208; 143532158; 205424136; -1; 283897118; 26332315; -1; 577526313; 645544470; -1; 576684057; -1; 387394934; -1; 65271633; -1; -1; 626752075; 717118529; -1; 805049645; 283901426; 285131607; 658734383; 492608487; -1; 19348350; 642237232; 336648466; -1; 955259694; -1; -1; 85085576; 117991180; 653250541; 416434052; -1; 763078514; -1; 97138388; 75567136; -1; 950355622; 6387324; -1; 503528939; 885871758; 444808532; 158898251; 603936155; -1; 508548376; -1; -1; -1; 204509952; 610379971; -1; -1; 390075303; 118909388; 823684491; 42216659; -1; 562547442; 16813437; 701942911; 444556850; 412128256; 740492125; 332598607; -1; 229151236; 295724251; -1; 625726971; -1; 325582141; 913321848; 258030695; 579647016; 624015994; -1; 432525951; 368029647; -1; -1; 575301102; 462726612; 703213495; 932767851; -1; 813657200; 544149145; 600053679; 937815944; 509125528; 169791287; 542683053; -1; -1; 851949695; -1; 511592531; 125546571; 5865855; -1; -1; 980737311; 320290002; -1; 234092937; -1; -1; 307301040; -1; 220487321; 249116479; 12518292; 574484074; 542526193; 773537196; -1; 46527146; 724114397; 760972304; 976976552; 198345964; 953625707; -1; 72782746; -1; 247664750; 144303561; 820449607; 144831635; -1; 222767782; 392479771; 328199585; -1; 258357615; 57814403; 521094982; 275028647; 496976783; -1; 677774416; 764086825; 636646371; -1; 742300952; 377977437; -1; 526257995; -1; 754438971; 197390870; 89788328; 871971048; 884595451; 341507526; 160113773; 847616990; -1; -1; 344188915; 441036992; 85088274; 55498430; 464603127; 380031222; 563223123; 636053294; 471823265; -1; 705270291; 342954200; -1; -1; 404743417; 278938022; -1; 732604509; -1; -1; 724259292; 695698107; 110690140; -1; 113984987; 760944227; 826626177; 670104815; 611881928; 297233814; 588348882; 684671307; -1; 925314374; 781770045; 167312995; -1; 602357792; 571123320; 844702792; 996458934; -1; -1; -1; -1; 331740024; 670297256; 641541372; 335647428; -1; 533718800; 331255799; -1; -1; -1; 323485777; 447741464; 436560674; 413944956; -1; -1; 437722085; 565969883; 231544821; 815545121; -1; 234310579; 617350173; -1; 611289733; -1; 906651685; 34338530; 56903960; 172728035; -1; 677174034; 720510999; -1; 532812790; 558544007; 250311552; -1; 743370004; 817343011; 897404721; 729067484; -1; 531279515; 614982768; 163266355; -1; 441510668; 115952376; 128495660; 558378025; -1; 586508197; 683821818; -1; 10102929; 774139177; -1; 996379767; -1; 871906981; 838911567; 819686090; 924538482; 995350100; 794853270; 33409698; 960930755; 742439212; 761968882; -1; -1; 122500018; 392212852; -1; -1; 778767410; -1; 3613510; -1; 567560423; -1; -1; 530436717; 469995521; -1; 298207171; 135234039; 848673718; 404597117; -1; 422163241; 241536212; 388619804; 681692692; 624968344; 874084508; -1; 851687607; 510530613; 293048904; 665127202; 285542826; 579617098; -1; 76626908; 287633440; -1; 106719480; 115615541; -1; 861543470; -1; 978455136; -1; 499364672; -1; 145190083; 331390665; -1; 552168651; 91164253; 650026599; 981455430; 439337962; 569187910; 58889432; -1; 975468641; 882457702; 519123497; 596119811; -1; 436517798; 979357521; -1; 908573015; -1; 666888184; 842864103; -1; 878926589; 233779215; 234670546; -1; 291588264; -1; 804414386; 947095866; 483329547; 79472516; 563551056; 205002722; -1; 581439295; -1; 482282858; 567263445; 454051559; -1; -1; 491060395; 403942741; -1; 688409965; -1; -1; 539342839; -1; 431492793; 235040641; 679306912; 306758478; -1; -1; 392110460; 366959932; 235885516; 368170472; 844128705; 457214958; 619267714; -1; -1; 200140092; 814350752; -1; 61393142; 858526007; -1; -1; 161194403; 880485489; 702382915; 76849231; 283900857; 430380231; 707784391; 365362179; -1; 988501785; -1; 7262414; -1; -1; 106122788; 115605055; 215656364; 344713525; 471931077; 472337292; 754537572; 338611574; 719666938; 118149097; 209160073; 893557260; 125153003; -1; 693405375; 71208218; 317756856; 621706958; 794993606; -1; 497409028; 225219397; 944572589; 65075217; 107683772; 215606594; 134293345; 245057566; 799169292; -1; 57904578; 842964357; 947176930; -1; -1; 235415780; -1; -1; 181666587; -1; 891403633; 889617009; 532828211; 528671996; 539403272; 809007455; 400037165; 444197038; 155117162; 179764373; 213401981; -1; 917443984; -1; 256262436; -1; 891528463; 102503422; 931269875; 230590914; 708393923; 795437145; 291068164; 499723434; 992466908; 99310382; 776965361; -1; -1; -1; 564465162; 198831586; -1; -1; 767400137; 372715020; 535466402; -1; -1; 666619734; 705942424; 228776214; 544157735; 748363181; -1; -1; 258748369; 99864883; 587105358; 519900339; -1; -1; 399423030; 688776923; -1; 755388874; 847306226; 392268217; -1; 519989321; -1; 446054721; -1; 543139193; 951341310; -1; -1; 181507649; 144589068; 98509048; -1; 415616492; 394817062; 301768418; 148135930; -1; -1; 572273327; 534869368; 779108494; 769529622; -1; 869166196; 845248224; 307106457; 953214252; 359391649; 421779075; 494213463; -1; 929547967; 202571450; 285365033; 367297707; -1; -1; 421146113; 98933977; 905409724; 344929764; 840496154; 202493435; 51561340; -1; 98232385; -1; 833858842; 481415429; 136517371; 403616123; 183643887; 120518867; 498716983; 81849161; 387724348; 681079040; 563892658; 350538447; 390134954; 358794173; 625281143; 131656758; 472988519; 356830308; 35237471; 28239224; 340233047; 55101236; -1; -1; 569993474; 621113499; 412445644; -1; -1; 916291999; 705126856; 34612081; 898346721; 117372269; -1; 393625633; -1; -1; 971008739; -1; 853387268; 720446905; 690398439; 188642341; -1; -1; -1; 537740479; 124133896; -1; 769414746; 158961654; 617454589; 240316297; 261455007; -1; 964784394; 585197143; 102540995; 693522905; -1; 353358523; 863845145; 492546702; 398915301; 547739456; 789392219; -1; 935614514; 343504060; 555000076; -1; 450840718; 634173552; 100191937; 976206436; 959883089; -1; 49522929; 166705943; 299222469; -1; -1; 599377222; 827545748; -1; 262283189; 503992514; 150340004; 117878026; 343682633; 924727121; 934812800; 178203440; 531463748; 228216576; -1; -1; -1; 533352545; -1; -1; -1; 906926780; -1; 526124773; 989358140; -1; 500948981; -1; 384972637; 985031935; 39920495; 953716412; -1; 807649576; -1; 957606363; 279011996; 990117503; 815855758; 373868904; 162572917; -1; 666455135; 943961841; 659733374; -1; 249072893; 284193552; 356291272; -1; -1; 320242010; -1; 100787781; 109227089; -1; -1; 420672061; 749909875; -1; 673598275; 550089193; 584746049; 722533817; 793519392; 420525521; 295730918; -1; 339088597; 166359369; 861425016; 511300402; 739558765; 971370116; 938952601; 631989742; 573504558; 901203408; -1; -1; 145532395; 975116424; 883854473; 807699103; 139485530; -1; 661261037; 733478305; 119810759; -1; 786614437; 781280851; 9755162; 447584002; 366415178; -1; 158902336; 188467506; -1; -1; -1; 257198024; 539542077; 515378102; -1; 294687890; -1; -1; 509606760; -1; -1; -1; 428388053; 729587698; 745191466; 560647327; 414607278; -1; -1; 668861670; 713203995; 78936742; 844047404; -1; 536436286; 290215446; 573469179; 90866254; 305848729; 930225540; 378781410; 389254454; -1; -1; 573275340; 562587591; 249929047; -1; 447200307; 533646948; 406490723; -1; 681156986; 542317419; 798587794; 786677373; 519149164; -1; 484251400; 176086969; -1; -1; 944743872; 548391053; 569943678; 995050912; -1; 835745274; -1; -1; -1; -1; 840380319; 987517088; 899627215; 470342657; 373418252; -1; -1; 886109332; 525248712; 138455588; 756218857; 406727771; -1; -1; 948411434; -1; -1; 469226798; -1; 849796876; 325394356; -1; 661003183; 193093068; 243014327; 853959023; 656291485; 296345942; 11526432; 769465527; 615421824; -1; 332834172; 972611418; 162332447; -1; 915251974; 746156690; -1; -1; 980946961; 778191606; 340133257; 654498619; 239595957; 127275532; 557415708; 879565658; 627522932; 232212195; 317908998; 392582158; 967370699; 888555390; 874344084; 619385399; 213904963; -1; 200555249; 936128014; 59569003; 302893607; 486963154; 831825651; 510576740; 994299260; -1; 699949312; 608996693; -1; 274305556; 614395114; 914823801; -1; 799482176; 828220902; -1; 113330190; 511318888; -1; -1; 861329868; -1; 463233335; -1; 246533399; 744621477; 27322054; -1; 801436146; 797032385; -1; 361713280; -1; 177034462; 890076353; 631735265; -1; -1; -1; -1; 495654339; 297080415; 86079270; 434774303; -1; 665723101; 341473728; 447677763; 254347616; 237566717; -1; 668597065; 777824978; 87201009; -1; -1; 1940802; -1; -1; 501863784; -1; 421259380; 853204308; 500373088; -1; 629196488; -1; 868536852; -1; 101202069; 296984722; 41978691; 778859888; 177143015; -1; 91223957; -1; -1; -1; 309452475; 943657572; -1; 902173868; -1; -1; 815433378; -1; 92419894; 548371169; 996311114; 344193199; 779610756; 822342831; -1; 582291929; 286064305; 590965375; -1; 576848676; 888984950; 967310138; 357816905; 958209979; 610459099; -1; 613021390; 43080574; -1; 432116637; -1; 991458894; 560399548; 321931468; 988290038; 11329290; 122011591; 127999927; 979261450; -1; 634139089; 629509351; -1; 519988102; 933359446; 625745416; 340016434; 185515787; 294566111; 903413029; 989761424; -1; 92960500; -1; 83923904; 510420499; 963211655; 598880309; 746863499; -1; 149433195; -1; 271147146; -1; 983642854; -1; 303675305; 227786496; 549450025; 224877026; 282833326; 5107065; -1; -1; 949275185; -1; 467119792; -1; -1; -1; -1; 115866098; 623399807; -1; 572938608; 18727483; 995827073; 783810845; -1; -1; -1; 963162449; 304698002; -1; 982974648; 724458950; 827979794; -1; 519878761; 283721413; 846396712; 668459860; 664718292; 308190837; 411710410; 481561478; -1; 325395237; -1; 479745418; 237158968; 447642481; 193131713; 566141520; 452637778; -1; -1; -1; -1; 215979183; -1; 358801913; 73723136; -1; 768493292; 257776876; 26410218; -1; 997713837; -1; 850361459; 212971173; 675750162; -1; -1; 555670972; 900811823; -1; 605845396; -1; -1; 298475088; 19432039; 954511248; -1; 993025950; 259828262; -1; 597435849; 273012006; 821850117; -1; 920555865; 61277528; 806043267; 551350316; 466053508; 107416110; 413423945; 172375647; 495482144; 405883929; 634518113; 166464667; 504658120; 583702389; 122456605; 983604481; 790777876; 378432235; -1; 865774607; -1; 277101566; -1; 677292655; 882340982; -1; -1; 221979832; 345947858; 658361238; 758761018; -1; -1; 480421689; 656716468; -1; 36847950; 292136503; 321250559; -1; 808997174; 352037797; 32243827; -1; 271842430; 697920770; 853976280; 498555504; 788838219; 624403629; 903357352; 226496201; -1; 597949784; -1; 484421027; 964360233; 800942241; 797709965; 561925652; 610830414; 83269884; 680294707; 395892919; 809031011; 789953202; -1; -1; 746397092; -1; -1; 286800283; 974398133; 552922579; 422424692; 861978691; 318248821; -1; 479417976; -1; 395672315; -1; 319990764; 668382533; 878099742; 613832297; -1; 606841766; 254544944; -1; -1; 307688704; 705332371; -1; 310592108; 692387098; 93936952; -1; 945080261; 74881999; 32973584; -1; -1; 651877680; -1; 706456649; 254606443; -1; 618659215; 690956361; 937267707; 847610709; -1; 669068987; 560615094; 511238952; 246900240; 594410989; 328689217; 730426215; 955137422; 343181517; 6428788; 833414450; 210653359; 655728929; 726611075; 766171567; 399190678; 320788798; 134957167; -1; -1; 244157108; 799671072; -1; 569190665; 567359218; 571190186; 748248492; 191302015; -1; -1; 54364420; 472792379; 173536420; 710459513; -1; -1; 905747613; 988895949; -1; 855819448; -1; 951086801; 887470328; 579586689; -1; 843543812; 642309949; 806886326; 853716791; 582749856; 565029473; 165683100; 913509103; -1; -1; 545120850; 364043239; 207771037; 800991414; -1; 479332634; 931358084; 98618050; 345018579; -1; -1; 822503716; 463785917; 386666571; 572437347; 221734280; -1; 132340129; 434882452; -1; -1; 354308075; 359925881; -1; -1; -1; 272396166; 63788518; 557265754; 7942174; -1; 20839564; -1; -1; 234840220; 917551912; -1; -1; 911648039; -1; 623056909; 509529149; 649099922; -1; 199947586; 320360151; -1; 784860221; 227630917; 959697980; 380110647; 160781614; 975225458; 770655652; 741004711; 412960158; 497912100; 539061036; -1; 593714100; 728228249; 964135203; -1; 149139547; 222556860; 407968797; 511751155; 943200586; -1; 866780401; 345019122; 249582903; 229540768; 680834706; 652358010; 400165613; 466204699; 71527854; 857542444; 55460840; 608446336; 129140583; 77490631; 124255522; -1; -1; -1; 481522648; -1; 557186666; 726629627; 935206348; 482771743; 706034829; -1; -1; 965217656; 145084189; 979153325; -1; 264735373; 40095286; 277711973; -1; -1; -1; 715598701; 58533252; 194232952; -1; 430219664; 408942510; -1; 870714247; 326346530; 692201905; 410994592; 126927007; -1; 542063794; 581545448; -1; 81533648; -1; -1; 353945923; 297856721; -1; 309055956; 403204532; -1; -1; 318863372; 901779075; 379423541; -1; 497786397; -1; 562653521; -1; 570373272; -1; -1; -1; 89679634; -1; 784768217; -1; 917958655; 16791275; 125493143; -1; -1; 256558115; 764932463; 466471810; 120516725; 614624269; 63564186; 326612565; -1; 95905532; 164085654; -1; 150900318; 876661305; 777562647; -1; 6321843; -1; 516048817; -1; 326439867; 202443929; 919482593; 712209891; -1; 381827216; -1; 890259671; 536850506; 322772412; 9729709; 239117175; -1; -1; 414977800; 960516751; 764816552; 388308067; -1; 364676635; -1; 235758174; 451747729; -1; 492934432; -1; -1; 59390094; 259903734; 568620792; -1; -1; 625982990; 986191931; -1; 561798350; 940935439; -1; -1; -1; -1; 187175722; 533900160; 652544968; 954046036; 905717319; 201635818; 621990764; 337025683; -1; 997905076; 895631626; -1; -1; 902994915; 120944655; 379068983; 720985273; 558950430; 661109558; -1; -1; 217692359; -1; 900256698; 69905888; -1; 11537081; 261265435; 9600264; 31728421; 11011124; 553006002; 196392787; -1; 927191413; 292897432; -1; 435591003; 773604430; -1; 880466718; 37903729; -1; 633336484; 190317941; 93877627; -1; 791681868; 463944803; 692257190; 589957761; -1; 773731179; 154241333; 771487518; 491627876; -1; 782842169; 281258490; 904753605; -1; -1; 219609925; 66953602; 137315255; 450346435; 703443553; 139520353; 932253014; 892304045; 901749781; 478217568; 414859386; 39976967; 472870161; -1; 868254652; 112239590; 583777287; 837571479; 465575835; 839616203; 609043809; 157986266; -1; 62434081; 719076153; 350989271; 774640453; 471200579; 558855354; 462050704; 934182071; -1; 168414043; -1; 517269746; -1; -1; 37698812; -1; 226648902; 560389785; 20730726; -1; 781393399; 497523711; 969739423; 388037662; 324499732; 140498308; 841434185; 502905162; 969002053; -1; 245151024; 24628557; 994668384; 368242441; 667442853; -1; 237196677; 340407342; 117616927; 372899577; 493173392; 459676334; 806511126; -1; -1; 744748165; -1; 374823788; -1; 860449662; 564054253; 468944449; 643693839; -1; 162561533; -1; 892590688; -1; 201217932; 178391072; -1; 687356100; 137364590; 224207418; 220627236; 961750986; 890522463; 301589578; 760099370; 106021857; 366853958; 697142420; 501284123; 860563764; 431465637; 126360364; 350819602; 658055041; 757532784; 261187129; 374705883; 98336587; 185930184; 920333084; 648296040; -1; -1; -1; 896499336; 776020492; 51478585; -1; 439368192; 91313789; -1; 257496190; 99828903; -1; 429299803; 776622409; -1; -1; -1; 858365058; -1; 252746133; 457603678; 942021662; 816902370; -1; -1; -1; -1; -1; 634981823; 860288753; 602406349; 647543021; 848406481; -1; 103017530; 320136682; 429310722; -1; 629795649; 423980764; 875012066; 501517236; -1; 495224369; 399444247; 598263660; 347985241; 321741564; 85783594; 294296650; 72696711; 50418894; -1; 616951136; 901618461; 665117179; -1; 581989543; -1; 97854701; 329536051; -1; 80670154; -1; 15360697; 902615193; 840091390; 334492488; -1; 135077038; 956613786; 271383421; 899034474; 380897595; 911866576; 406051891; -1; -1; 405795113; 424373853; 213589957; 954664740; -1; 368625114; -1; 471964567; -1; 721035714; -1; 910029411; -1; -1; -1; 55948376; -1; 671958698; 795041456; -1; -1; -1; 900628261; -1; 765322604; -1; 15435960; -1; -1; 629664115; 958324951; 547454249; 882235854; 664647189; -1; 346815293; -1; 895627157; -1; 189591336; -1; 281674385; -1; 289931031; 425851138; 824924332; 181106124; 648466468; 855020540; -1; 642792851; 656904690; 399640194; 396718844; 173773998; 46538455; 254513423; 232666542; 41033531; 397840977; 374621412; -1; 309923245; 562561126; -1; 920555831; 993819995; -1; 844837163; 838007865; 125270740; 501044267; 143132077; -1; 741901018; 636330561; -1; 337910781; 857529123; 589997771; 366622060; 941512581; 294498457; -1; 228437248; 110622196; -1; 793891191; -1; 87526755; 685705170; -1; 40570820; 406013244; 653771762; 184974114; 184514938; 181484529; 991106888; 390947957; 908283312; 713440518; -1; -1; -1; 31333684; 8393506; 470229750; 885122174; -1; 349079919; 275590926; 931046610; 820166229; -1; 829229416; -1; 615395936; 475196273; 313504818; -1; 256811596; 119953787; 558277472; 703434453; -1; -1; 558501159; 807324497; 899969190; 108147163; 237683792; 317904253; -1; 651741631; 692931735; 840494674; 85947232; 401565186; 257534634; 171066778; 417616332; 54872088; -1; 938199136; -1; 18512952; -1; -1; 275911739; -1; -1; -1; 33254324; 565469661; -1; 614899491; 222384379; -1; -1; 872829788; 341644254; 549659252; -1; 585868018; 17036584; 245469648; 274900312; 934240474; -1; 474761319; 322954866; 452140604; 460046324; -1; -1; 420659311; -1; 572137350; 300499938; 765494435; -1; 893637630; 733339471; -1; 781241406; -1; -1; -1; -1; 958265370; 503000327; 828723821; 302400774; 425398873; 908627353; 203323774; -1; -1; 139492654; 757267306; 647865941; -1; -1; 125522370; 773869631; 749458554; -1; -1; 979814536; 518077186; -1; 539851797; -1; 509601996; 787672937; -1; 333176222; 136238478; -1; 594582843; 454049768; 211026034; 389149714; 522638489; -1; 790786304; 74065933; 372301581; 532102170; -1; -1; 171556172; -1; 672655817; -1; 77712156; 946549451; -1; -1; -1; -1; -1; 828463834; -1; -1; 545165752; 652931582; -1; 880235214; -1; 438475291; 405814479; 683114622; -1; 869910730; 958527909; -1; -1; 339982225; -1; 694993051; 282232265; 470073358; 433111440; -1; 768242453; 80869756; 513584375; -1; 929468944; -1; 623722491; 67932446; 466099495; -1; 168813453; 605282534; -1; 397273535; 343953468; 566954923; 225180825; 340255066; 116403954; 857199065; 738728141; 205420189; 767607189; 64493985; 240025439; -1; -1; -1; -1; -1; -1; 740969059; 357490213; 680978092; 422439246; 513147592; 512244152; -1; 900953256; 546833622; 595290894; 82592421; 989389017; -1; 597919745; 404321873; 510683508; 402483301; 393423259; -1; -1; 774627276; 951931259; 336126167; 586761571; 643225082; -1; 507904716; -1; 50650812; 781355534; 333366687; 970375558; 9767391; 113505247; 861947476; 227800449; 513720916; -1; 512389618; 68584438; 800507320; 360437803; 976312936; 96694759; 956760337; 141395996; 18504942; -1; 561645517; -1; -1; 220042681; 124093832; -1; 862307055; -1; 12139420; 198256469; -1; -1; -1; 349580610; 35255104; 644125981; 370788485; -1; 353174955; 586670942; 756857187; 902934729; 175789327; -1; 431220961; 950231416; 654746200; 606446718; 939428771; 925488651; -1; 633372669; 268156616; 116217454; -1; -1; -1; 264830219; 432487424; 394174904; -1; 169078373; 102185439; 984687690; -1; 113817831; 464815749; 465112891; -1; 417054299; -1; 387119832; 707452388; 958295368; 314672370; -1; 704651940; 165547237; -1; -1; -1; 362432138; -1; 150097258; -1; 253100801; 330455267; 476415493; 985276618; 536548634; -1; 271711031; -1; 707098173; 830628702; 264967390; 20426719; 558396452; 351423016; -1; -1; -1; 954653420; 672485490; -1; 467302976; -1; 365087151; -1; 859103201; 930431380; 104565783; 665668485; 148596494; 337245300; 328496591; 889653; 18026234; -1; 644356727; 790044556; 166421933; 247116761; -1; -1; 63910059; 837319421; 813043575; -1; -1; 122273038; -1; 249182238; 782449131; -1; 701349602; -1; 855520700; -1; 67626530; -1; 697716845; -1; -1; 330464466; 157486740; 718706183; 332881823; 195784285; -1; 697949682; -1; 763761462; 604898833; -1; 14381875; -1; 809531048; 434528990; 79849328; 867274373; 382066455; -1; 243607755; -1; -1; 721410237; 842811368; 102723409; 733712791; 162516181; 469749105; 430323039; 397526379; 897651544; 787174812; 71228886; -1; 847810869; 405700376; 746884206; 189807925; 450593296; -1; 735932492; 740476702; -1; -1; 164347772; -1; 973634248; -1; 585859668; 913707280; -1; 154823914; 758270502; 647642088; 892984019; 275064562; 282656476; 95509680; -1; 255421675; 730353418; -1; 331196918; 505575985; 814832154; 630245138; 146126431; 206808751; 829595613; 845497580; 351723820; -1; 926535336; 72908889; 737997026; 895794944; -1; -1; 592023527; 981681628; 999170494; 567493399; -1; 632734831; -1; 444693756; -1; -1; -1; 705638094; -1; 315690622; 565431031; 724271473; 823354905; 442592657; 687655007; 280433418; -1; 734366561; -1; 743792473; 877826359; 73455831; 165005863; 58812256; 709296028; -1; 865658728; 479927554; 740965211; 116935280; 608008639; -1; -1; 448288804; 821233659; -1; 809992440; -1; -1; 858340961; 147116087; 783718605; 268099790; 340599106; 127325439; 635381379; -1; 944773437; 638380307; 819725755; 99457080; 579532073; 521261935; -1; 165147945; 177611512; -1; -1; 170363612; 985844990; 46429557; 516171471; 378289446; 943671438; 468856326; 502349403; -1; 556285678; -1; 255342956; -1; -1; -1; 290146477; -1; 693790432; 10561559; 814103478; 644211672; 552492417; -1; 747973588; -1; -1; 525515516; 177885503; 913444888; -1; 349630084; 671656430; -1; 405080713; -1; 839220394; -1; 86702637; -1; 370484746; 53601006; 665114279; -1; 748091015; -1; 12147084; 250142485; 899888311; 88122177; 627347926; -1; 387919807; -1; 193524600; -1; 309833172; -1; 965718276; 69315127; 237628670; -1; 601114547; 449327942; 584055241; -1; -1; 574365710; -1; -1; 304130412; 330286503; 258680433; 472242942; 423218916; 573838448; -1; 791172658; 561853876; 135003059; -1; -1; -1; -1; 56768944; -1; 124779256; 725803483; 493260232; 131113485; -1; 371743169; -1; 913076725; 410182785; -1; -1; 676308427; 777589507; -1; 947049002; 109609853; -1; -1; 47265214; 795191600; 510705612; -1; 237560951; 587964805; 227147837; 442177084; 920501776; 207394320; 73864002; -1; 360734520; 492483214; 805158020; 205211390; 920801044; 371119634; 372903153; 150545506; 455770364; 922637921; -1; 185938159; 151297544; -1; 264591920; 227150630; 613480586; 586274351; -1; 130089681; 882101451; 809488966; 99958827; 63419045; 426053714; -1; 551474610; 512668352; 806472749; -1; 276663804; 905521428; -1; 978566751; 188376603; -1; -1; 960681925; 323471191; 617761549; 787722668; 818739676; 501534873; 215526730; 323554011; 374384564; 714649289; 755027099; 585497695; 768700733; -1; 498832361; 641244689; -1; 519653839; -1; 621717290; 367736564; 404912107; 575777792; 170095460; 479358275; -1; 759346029; -1; 753938323; 994744210; -1; 322926333; 470962739; -1; 164963943; 12207335; 545355011; 981243455; 747994410; 374813674; 77882329; 572070361; -1; 64032103; 520082363; -1; 846501573; -1; -1; 464812209; 270726840; 635356664; 965382370; -1; 754017192; -1; 270219426; 732893469; 785816941; -1; 134787929; 838422660; 564382736; 109788768; 235716583; 898399964; 741380445; 258245801; -1; 803192780; 675231590; 831646148; 69239862; 31687335; 504118767; 345752967; -1; -1; -1; -1; 737684910; 334784705; -1; -1; 961252159; 152921404; -1; 730770962; 277055394; -1; -1; -1; 415261347; -1; 139679426; 46964685; -1; 49227266; -1; 191631019; 323258855; 315459571; 858128412; 771142389; -1; 599234837; 930422348; 712662191; 566895722; 701675131; 821536004; 314652825; 703425914; 600090529; -1; 901306479; 588927643; -1; 681746693; -1; 139979009; 837317899; -1; 58835545; 204168224; 416231226; 737428765; 791613120; 371853340; -1; 551318189; 869475599; 589556469; 364977765; -1; 598715363; 114510342; 298829697; 718222875; -1; 36246069; 951992598; 539685956; 388223773; -1; 777335489; 401274840; 583508058; -1; 994851558; -1; 205177218; 978599468; -1; -1; 876843112; -1; -1; 4580649; -1; -1; -1; 303684754; -1; -1; 691813808; 961315555; 466655037; 765877288; 926638821; 805511353; 961344874; -1; -1; 851163490; 192557168; 656512897; 376672484; -1; -1; 546309450; 743796656; 284233393; -1; 707349214; 285040997; 557394236; 68050543; 664550193; 102886068; 855793416; 581618954; 788419838; 297244051; -1; -1; 144494381; 368772835; -1; 390487993; 741700450; -1; -1; 403567159; 811757623; -1; 170293548; 319663379; 572708561; 18843410; -1; 35015359; 961893096; 959073532; -1; 315149388; 815970750; 629152403; 6925706; 990970554; 211205972; 681691515; -1; 257753876; 547987256; -1; 169866124; 788128862; 641566438; 379839858; 558827233; 181920557; 320152717; -1; 174449272; -1; 696642099; 940352867; 911868889; -1; -1; 72366205; 349587766; 484564201; 416359507; 945160910; 445079975; 563798992; 774947543; 112611128; -1; 944853417; 836921612; 105383444; -1; -1; 26144217; 353431079; -1; 33125179; 822069766; -1; 451812902; -1; 984736887; 216824683; 80963650; 312358281; 789693239; 667863417; -1; 565102176; 2679235; -1; 406898227; 378737535; -1; 751768527; -1; -1; 719483313; -1; 63952718; -1; -1; 688945737; 528504203; -1; 982955054; -1; 179523920; -1; 288474463; 942932913; -1; -1; 830276232; 182674004; 579727714; -1; 575409191; 917073147; -1; 821377909; 389370348; 68391314; 534648375; -1; -1; 512804334; 484672547; 538472192; 918683766; 535331553; -1; 586803183; 846112967; 868044807; 816330753; -1; 876980097; -1; 414301073; 638338685; 409951959; -1; 507982149; 768862868; 618774389; 680858805; 508851719; -1; 76104663; 810702568; 863911947; 202197946; 557920085; 819202799; 932284119; 973415882; 220095454; 426739784; 458335508; 189229567; 303010233; 51125452; -1; -1; 411302555; 266104213; 168240991; 527121409; 767472759; 460260553; 713298501; 594215920; 533352904; 554443595; 58982417; 52732713; 248244182; 194920670; -1; 448936064; 812161007; 187347268; 489977214; -1; 851349540; -1; -1; 12613858; 411681027; 646998750; 789082566; 950543791; 303983776; 353494157; -1; -1; 159624951; -1; 781106166; 177985706; 805472360; 849629621; 751674340; -1; -1; -1; -1; 370054800; 932737687; -1; 708895228; 779648144; 958524723; 540118518; 21462077; -1; 241461261; -1; 221895267; -1; 569612739; -1; -1; 913017113; 786959250; 448342850; -1; 185245967; -1; -1; 749960192; 316978135; -1; 471938405; -1; 151350888; 103161310; 981225508; 923173503; -1; -1; 292035605; 430811614; 864575567; 88520493; -1; 891950122; 12620576; 196944247; -1; 473214944; 275429188; 298659447; 64792340; -1; 72053245; 922828594; -1; 709467961; 291993030; 15109046; 801738903; -1; -1; 84987372; 439540991; 267017348; 755432680; -1; 752446467; -1; 13890123; 173025672; 837787624; 301509653; 53458552; 796428685; 834382891; 400925394; 43634944; -1; -1; 133615072; 524300426; 283868516; 56209390; 919408602; -1; 598897309; 908875562; 825665157; -1; 476292673; 114314729; -1; 415832011; -1; 939544226; 701562358; 541998887; 828113487; 767013515; -1; 71033119; 976511178; 191964807; -1; 171153294; 506740443; -1; 320287324; 956226118; -1; 387861064; 324411528; 232513285; -1; 531947657; 772633536; 518972579; 902799900; 443045537; 277677229; 583822889; 140075571; -1; 878358317; -1; -1; -1; 313846921; 516691962; 335694490; 761816459; 306591946; 591301167; 423152959; 680077404; 13717524; 953368958; 882173599; 339804046; 968761273; 681242921; -1; 651285967; 263079722; 888983771; 579586650; 58236101; -1; 388591166; 202645388; 846128330; 205583146; 602081505; 475913645; 425965876; 878449197; 290181920; -1; -1; 568424110; 481756774; -1; -1; 917117505; 889486575; -1; 659292319; -1; 700862977; 223070583; 911340920; 262798628; 710471458; 752616667; -1; 425608484; 162710996; 132041596; -1; 376418179; 989743769; 521031367; 697354353; 649924060; -1; -1; 318203176; 418247255; 805739714; 473915991; 261174491; 690277343; 897664250; 503904440; 364957455; -1; 151274217; 172511582; 494356565; 817278626; 641025074; -1; 934275464; 700715812; 511827646; -1; 823232388; 794319899; 943332187; -1; 404756538; 441866114; -1; -1; 67876733; -1; 807686519; 188587017; 883087620; 532388096; 983091310; 292606330; -1; 896635297; -1; -1; 985969304; -1; 727444916; 538185159; -1; 997267857; -1; 808460508; -1; 929189332; 298027567; 444904870; 667680121; 654504208; 794783247; 906945461; -1; 706784254; 688323159; 308008546; 466016692; -1; 414225611; -1; 391572387; -1; 979990175; -1; -1; 248943309; -1; -1; 552431021; 92722676; 492262541; 41543483; -1; 526120563; 810778218; 633830251; 158322222; -1; 437804946; -1; 109731689; 817060187; 175832685; 591135341; -1; -1; -1; -1; 778695780; 954569693; -1; 965224442; 566624390; 873146020; 990486569; -1; 482529513; 9916987; 433584293; 475640581; 639301030; 356645169; 159675998; -1; 14915353; -1; 737206929; 246025324; 783733046; -1; -1; -1; 607499064; 525557050; 427814440; 629377646; -1; 689035149; 780742914; 584529673; -1; 88220603; -1; 293092833; -1; 312683726; -1; 748131447; 231015865; 763801256; 661158803; 25201724; 204711434; 575049718; -1; 496060859; 965055742; 865009074; 321456980; 784377252; 511762538; 330561768; -1; 150468191; -1; 203608734; -1; 427818793; -1; -1; -1; 226363369; 921737886; -1; 755015459; -1; -1; 645930008; 50717292; 516799173; -1; 327419268; -1; -1; 257044579; 243456481; -1; -1; -1; 356621401; 776709497; 701816129; 359817011; 795552196; -1; 825873123; 328694528; 843620798; 226131094; 228846068; 615847411; 35079162; -1; 427935976; 439731478; 132232004; 688721361; 33561552; -1; 999898006; -1; 928395227; -1; -1; -1; 368945487; 418548204; 419475861; 797132368; 687912569; 174867216; 613966462; 311562128; 803623405; 586908026; 455327162; -1; -1; 137696594; 929641931; 729006265; 661208927; -1; 226432277; 163334839; 245686422; 240052903; 758525009; -1; -1; 829050046; 265991958; -1; 449826389; 92372732; 689098272; 652409088; 708968111; 897296312; 605749870; 568729084; 726330255; -1; 6723822; 361002106; 210935167; -1; 933903165; 721482799; 377069665; -1; 986620310; -1; 569824645; 533405265; 223075773; 112403493; 464913458; -1; 456630807; 12425790; -1; 876293199; 724748634; 180486862; -1; -1; 716901129; -1; 705550966; 779134413; 523220679; 842896114; -1; 874921246; 754238032; 456474443; 469130487; 185041270; 604475993; 969493674; -1; 99664795; 828050962; 349980813; 436313007; -1; 921031264; 691694055; 674265947; 589067753; 395432386; 349126025; 153542369; 943723605; 12146725; 710105368; 213474842; 832219216; 121873934; 440987540; 841265910; -1; -1; -1; 853224051; 673980866; 893003031; -1; 591584999; 116609369; 26369342; -1; 461334350; 416189706; 35511165; 849835417; 327115956; 295973473; 826524941; 215498403; 422646596; 426042208; -1; 937414401; 807664238; 169764244; 827390941; 542957025; -1; -1; 683374984; 101677994; -1; 803641510; -1; 644915298; -1; 329306489; 273648320; -1; 628862177; 964521298; 686376444; -1; -1; 898179450; -1; 526009983; -1; -1; 320233626; 39111715; 309000184; -1; -1; 260861084; 186442953; -1; 264204072; -1; 278824606; -1; 814891739; 760301586; 244281394; 236659219; 173033805; -1; -1; -1; -1; 443737439; 869852491; -1; 844588138; -1; -1; -1; -1; 512613948; -1; -1; 337292860; -1; 924935621; -1; -1; 684992512; 993578045; 486912861; 199708390; 334955320; -1; -1; -1; 66082769; 749589984; -1; 332482557; 895976378; 14595779; 845796232; -1; 893238714; 224971160; -1; -1; 989304592; 29863934; 728385786; 650664371; -1; -1; -1; -1; 511766990; 534903326; 376290845; 354967632; -1; 968151689; 352464764; 494385931; 296940582; -1; 603744843; 245946423; 209595517; 926122440; -1; 606360893; 873331669; 749005867; 736550359; 75589531; -1; 820556661; -1; 691096820; 292103389; -1; 500052395; -1; 727328158; 316138749; 286569547; 696291391; 495654913; -1; 644055849; 195976478; 978192613; -1; 902561843; -1; 513537279; 550962755; -1; 669548480; 881761780; -1; 282350525; 187269721; -1; -1; 980550802; 153735427; 561854670; 603156841; -1; 626202; 697540583; 878306569; -1; 390375754; -1; -1; 365145238; -1; 993796846; 240980126; -1; 74718422; 898613374; -1; -1; 456116658; 621167093; 19820743; 263342982; 78998295; 263073878; 427796820; -1; 369699784; 626037178; -1; 66864766; 751266744; -1; -1; 459382902; 334436772; -1; 34140221; 574070926; -1; -1; 753290170; 530119159; -1; 803970936; 150909518; 432276089; 732747700; -1; 432468490; -1; -1; -1; 673126790; -1; 72861581; 32281154; 845329689; 424028122; 914403259; 695594598; 409075338; 237115773; 34898196; 565351777; 482830093; 443272041; -1; -1; 424706678; 222526927; 729789026; 241207070; -1; 796464963; 948095392; -1; 88392243; -1; -1; -1; 636996758; 976003069; -1; -1; 387426821; 615101870; 625692879; 862129187; 466734916; 425490910; 703985498; 462762102; 35057851; 650335653; 362183385; 881240039; 784593187; -1; 564638694; 460800118; 451337226; 795453362; 274586907; 724517984; 522752637; -1; 410207630; 452325342; 342600088; -1; 726839213; 434312267; 269322629; 709969677; 29431528; 793050471; -1; -1; 513443024; 61978179; 122303840; 269414481; 745732544; 710952422; 519094380; 637918867; 697425429; -1; -1; 252906517; 602526400; 802490613; 511831290; 738512447; -1; 856930257; 918071526; -1; 491070962; 891717290; 762771692; 716432629; -1; 521417246; 759685617; 319774880; 935532321; 175219718; 123420694; 758203985; -1; 835496208; 462548870; -1; 616230308; 518064167; 552006852; 972139500; 258871739; 775866656; -1; 442982771; -1; -1; 396150838; 661404308; -1; 824086907; 762205176; 265871035; -1; 854016829; -1; -1; 684720570; -1; 47417999; 962296037; 350498201; 143495395; 558797848; -1; 479890022; 728871198; 415931576; 973043223; 387688770; 993190412; 291013844; 553872696; 250293862; 362487939; -1; 661817361; -1; 66961188; -1; 733153063; 410783849; 621816881; 209711704; 464037264; -1; 615057084; 481423768; 618323889; -1; 515058813; 922900304; 927322969; -1; -1; 139685430; 260923050; 394195293; 896460080; 446335428; 884822791; 914055802; 390177059; 552344980; 877743993; -1; -1; -1; 221182087; 527222004; 303852886; 576123608; 314138149; 57380647; 27502712; 576793011; -1; 824474878; 780051073; -1; 781548236; -1; 50720088; 63728106; -1; 495064135; 446115273; -1; 190558545; -1; 146590757; 401969010; 923679207; 646700956; 81552187; 685236080; -1; -1; 438393525; 68596797; 751795188; 882625436; 459910030; 181368416; -1; 580605091; 454897461; 281920229; 885915935; -1; 478269743; 117526308; 853089270; 641990859; -1; -1; 756714046; 526040934; 21467967; 891041629; -1; 273961647; 66329771; 809017990; -1; 857291123; 91148850; 901084647; 891048727; 841259793; -1; 265029047; -1; 721836575; 633202586; -1; 198828532; -1; 381699609; 878020947; 153292637; 179816828; 386593931; -1; 360795012; 242969916; 729865678; 596953386; 214734901; 22595417; 799507173; 429525723; -1; 791265238; -1; -1; 353225195; 822148335; 64213705; 139970970; -1; -1; 217471824; 563427830; -1; 58996004; 790294712; -1; -1; -1; 28197193; 969216489; -1; 720336768; 971267163; 978780387; 369117934; 35139368; 730336724; 222999734; 423795834; 666150019; 911461167; 239878111; 449111781; 618284805; 887822334; -1; 966990682; 240829990; -1; 871746507; -1; -1; -1; 138540032; 250213138; -1; -1; 782341877; -1; -1; 285770868; 434065079; 421277848; 956893026; 255472344; -1; -1; 945935311; 104705656; 535773133; 401991610; 218280141; 586895090; 388295413; 466573168; 423868595; -1; 892737772; 96264294; 678461296; 390123109; 754891842; 69231781; 312468838; 821877596; 80102092; 688462410; 431122117; 953192117; 720885315; 208914565; 31655486; -1; 797545604; 283088341; 896552540; -1; 909629609; 424054513; 593070187; 667886527; 983783009; 813109724; 705492936; 469018326; -1; 80903325; 953059442; 648564909; 344935298; -1; -1; 469510889; 195169084; 655719713; 24996282; 829949804; 456356990; -1; 554319017; -1; 682407804; 462443906; 722622899; 162278002; 966567438; 143383154; 964831524; -1; 291924228; -1; 245925310; -1; 671216177; 121049300; 702182251; 756719169; 464022155; 445061561; -1; -1; -1; 910270626; -1; 822718989; 621403415; 775384126; 26507106; -1; 955411282; 600125237; 558311648; 75090617; 303231297; 415496724; 804325815; 296087625; 225963554; 622540298; 548497794; -1; -1; 978686829; -1; 187623499; 710301853; 573160269; -1; 558814201; 870719651; -1; 739585275; 276464605; 434487032; 962302130; -1; 802361546; 433908484; -1; 555257567; 720756788; 103039546; 369739710; -1; 17530420; 114949071; 758068481; 633581360; 936554442; 847616086; -1; 135606350; 546542386; 60636448; 639151118; 15307924; -1; -1; 710324237; 678713165; 381480451; 554034763; -1; 947745270; -1; -1; 728217957; 816061694; 256200464; -1; 539323402; 412388857; 152935505; 46151353; 872401426; -1; 927623532; 528833075; 483844989; 439596339; -1; 481862890; 954773003; 310967305; 529763845; 64625841; -1; -1; 849883814; -1; -1; 199345513; -1; 393847594; 535338972; 608278058; -1; 471726209; 576354040; 441809720; 206210228; -1; -1; 369690430; 544145404; 501459118; 806008089; -1; 880142696; 505336524; -1; 491973988; -1; 598172277; -1; -1; 553302945; -1; -1; -1; 954838418; 282241073; 237046505; 602704853; 439655335; -1; -1; 498948269; 608065963; 607525053; 523854014; 163486107; 182797769; 645100304; 195652312; 230989657; 741670945; 197520635; 241541208; -1; 177655709; 923264472; 361173725; 149331481; 254411116; -1; 415292636; 271737890; -1; 730487803; 10851741; -1; -1; -1; 706415711; 661139220; -1; -1; -1; 347248082; 682044752; -1; 214725045; 761102224; 887655763; -1; 497577524; 774528245; 384928081; 345465622; -1; -1; 60464670; 416482676; 474697951; -1; 240876017; 815809379; 587698720; 599629596; -1; 742463608; 591579095; 276694486; 431770300; -1; -1; 383701831; 407402573; -1; -1; 9259802; 499542664; 4368291; 959913486; 619814191; 281289379; 372495058; 64956504; 340633962; 302054672; 574539469; 384776663; 702228319; 747621250; 753915979; 195754535; -1; -1; 861838556; 377892582; 437109016; 999057696; 613177880; 46431928; 183397581; 394770605; 632879195; 292757261; 471206420; 233206527; 182741513; 145308504; -1; -1; 183262226; 399437642; 374410749; 261208286; 973935289; 617346386; -1; 168924977; 546492114; 265194485; -1; 740822710; -1; 102743663; 20209030; 24502209; 288284011; 976810837; 363625078; 437375941; 119305609; 659838351; 634490436; -1; 929177964; -1; 954914671; 909919445; 278741355; -1; 707220203; -1; 504350654; 820135076; 816087417; 699947994; -1; 287726652; -1; 432385189; 847622926; 301485238; -1; -1; 770311913; 785630424; 757059713; -1; 937091919; 235268977; 445271291; 203891469; 395699887; 399750528; -1; 939570894; 108511299; -1; 317911326; 356492422; -1; -1; 66816092; 135436534; 164866084; 293970532; 706369523; 648020913; 580129234; 71608441; 588845409; 612919718; -1; 372857750; -1; 723307883; 725217633; -1; 98241237; 439958060; -1; 839921711; 1374485; 235357016; 476600661; 528878130; -1; 40543792; 223299081; 742044422; 178138228; -1; -1; 749952536; 393135446; 303915261; 607519932; 623619428; -1; 596147356; 466742951; 996897802; 9870925; 78307263; -1; -1; -1; 501639544; 352039298; 135205328; 13518813; -1; -1; -1; -1; 783977368; -1; -1; -1; 428311373; 382273161; 547221850; -1; -1; 370525895; -1; -1; 540267159; 725096556; 256978861; 246015689; 992824421; 365188093; 97729325; -1; 136122827; 920273181; 830688230; -1; 383561489; 812609563; 635348210; 929680005; 79841578; -1; 267578608; 86519851; 166666004; 349398904; 875453394; 576938742; 775610201; 325338307; 81046438; 720095248; 477672282; 292503761; 788341037; 604790831; -1; -1; 591829779; 535179850; -1; 331777125; -1; 720933302; -1; 333509745; 599935293; 501419117; 119833568; -1; 441714809; 637653247; 246333406; 183005854; 279709242; 145646378; 628371634; 160939105; 696445066; -1; 204975651; -1; 93861109; -1; 532697282; -1; 148670470; 908671432; -1; -1; 929105273; 290599444; -1; 179485301; 810951110; 302824398; 63199100; 570437034; 452707331; 24246173; 585597430; 107638244; 640196948; 929343670; -1; 350107874; 753316867; 441586460; -1; -1; -1; 172492160; -1; 755253457; 765280078; 868374270; 301761825; 796240139; 199601223; 891290819; 906315294; -1; 681091829; 276271314; 510473430; 816963967; -1; 80292691; -1; -1; 935736897; 287461314; 759701465; -1; -1; 547102372; 528828942; 439575417; -1; 638624583; -1; 595076736; -1; 937758409; 526436760; 880841430; 260159028; 825898012; 592933485; -1; 609318958; -1; 997211022; -1; 136553222; 280236548; 504622901; 272803906; 669826727; -1; 353129961; -1; -1; 752036003; -1; 137773098; 779596726; 581620714; 38034677; 769158106; 60242055; 203553443; 344812406; 821838866; 368214673; 292468318; 850663975; 838022052; 902703124; 180034441; -1; 657860865; 971651424; -1; 367895166; 82074877; 465443239; 419642551; 258095072; 942864252; 514988292; 888817228; 164066464; 714387703; 618519138; 775612215; 67664574; -1; 757084222; 534105978; -1; -1; 483844291; 645546991; -1; 359810929; 836927782; 808919506; 303804669; -1; 858778351; 732076280; -1; -1; 759615634; 630514180; 949339024; 593713202; 73453421; 960289123; 974522492; 397889095; -1; 372804748; 465793639; -1; 31772129; 476750014; 554316719; 524907600; 118897149; -1; 823707886; -1; 956988978; 939733530; -1; 260818383; 820513580; 855489656; 177438827; 381744709; 363132543; -1; 167246516; 223090159; -1; 90301434; 181867626; 857951957; -1; 65952872; -1; -1; 546865480; 366302085; 97472784; 421681915; 167977751; -1; -1; -1; 933864047; 670834678; 389431648; 358927094; -1; 573197555; -1; 513215812; 363144369; 672210000; -1; 244661180; 439689655; 52941512; -1; 846087717; 931102777; 568993456; 19473803; -1; 929266332; 110943627; 107468816; 525566691; 785196532; 36244517; 446976872; -1; 499991532; 700527028; 605285595; 153787258; 709944404; 558405483; 32391546; -1; 684442513; 553204756; 988247053; 108809271; 104496450; 234896871; -1; 407661092; 595583913; -1; -1; 825863571; 539508606; 977599588; 666778797; 834196421; -1; 660722194; 536523246; 437735350; 988918936; -1; -1; 824018659; -1; -1; -1; 261801832; 552631243; 509545234; -1; -1; -1; -1; 683893853; -1; -1; -1; 34210973; -1; 374100925; 640729998; 759176453; -1; 644137723; 580393488; 266971804; 844680449; 333250446; -1; -1; 892103048; 409488377; -1; 73557382; 857352134; -1; 16934492; -1; -1; 827196779; 127601340; 854788452; 607718195; -1; 525419921; 646508120; 841315088; -1; 803180790; 7229514; 66795386; -1; -1; 87212590; -1; 995148427; 323065261; 218963367; 950458063; 39974672; 691311088; -1; 859992453; 163328636; 609223384; 620800523; 82951460; -1; -1; -1; 619801115; 769706620; 42667073; 122227996; -1; 917453609; -1; -1; 48467601; -1; -1; 234211471; 56156511; 688359446; -1; 821579747; -1; 358455020; 863356231; 800715047; -1; 234246317; 346843681; 200186068; 842309770; 497327835; 129579314; 907633693; -1; 176354943; 688071852; 952783612; -1; 539508723; -1; 320093381; 193044568; -1; -1; 52534603; -1; 362333949; 325834511; -1; -1; 145251847; 50129190; 600680532; 303444790; 803529878; 521505992; 403324397; 148959715; 246706267; 760492389; 823238231; -1; -1; 870329613; 747571261; 708326488; 704433266; 355013187; 509654982; 715200657; 927657456; 753587337; 231672868; 86266696; -1; 721882080; -1; 901233676; 536046455; 667854253; -1; 321270735; 323312597; -1; 851004420; -1; -1; 140271871; 302879219; 637789672; 439949884; 582326189; -1; -1; -1; 400673619; 754489755; 5931195; 934255092; 27991035; -1; 838199148; -1; -1; 641603948; -1; 763997224; 543960388; 279690030; -1; 78061876; -1; -1; 912111958; 94438423; 423464415; 977509709; 297815694; 943154463; 751836407; -1; -1; 627082190; 226026873; -1; 36316709; 940230646; 121869789; 20179057; -1; 371743704; 41812902; -1; -1; 777743687; 943901460; -1; 441156539; 959393962; 868021364; 607754551; -1; 400198095; 189593756; -1; 239435809; 988861965; 536703625; 593256136; 832294378; 659537555; 674817653; 758005789; -1; 443667680; 679522322; -1; -1; -1; 633276663; 450230942; -1; 324328671; 552475014; 885255213; 425852828; 399965765; -1; -1; 577644661; 210050170; 909246430; -1; 993734121; 299609878; 476751712; 720796100; -1; 832485479; 453073399; 202536812; 728779087; 401446319; 550050947; 366503276; -1; 265517250; -1; 38953439; 315168538; 42434508; -1; 487187300; 529624652; -1; 405619146; -1; -1; 467633954; -1; 361597101; 821284043; 146873222; 901666477; 563656808; -1; 52903101; 3604711; 968885872; -1; -1; 793693106; -1; 511842142; 717421361; 862493222; 593278328; -1; 700708512; 180266004; -1; 789451708; -1; -1; 508489370; 862138410; 964799762; -1; 854733168; 818373411; 615313039; -1; 662896739; 154478444; -1; 706027236; 123735996; -1; 674252409; 446022051; 748253516; -1; 189100022; 21339208; 10218203; 18423232; 635123490; -1; 735730683; 925049514; 147529812; 852392894; 800147122; -1; -1; 246817252; 918584468; -1; 843650961; 369225609; 651349673; 374743088; 334674236; 173948986; 67047186; 302648249; 120483079; 51475084; 296495361; 614691082; 243405181; 976277949; 704808569; 157289278; 789290096; 67188030; 947205801; 692618909; 176636940; -1; 989691334; -1; 205784539; 442735139; 307673524; 771578938; -1; 409635781; 600029484; 147523055; 579310822; 299419009; 506617077; 945178962; -1; -1; -1; 307366161; 488416760; -1; -1; 228715244; 594098300; 511442889; 225056189; 279901649; 157443913; -1; -1; 111885541; -1; 369156079; 853723882; 99971593; 657705433; 709737297; 616092875; -1; 739925273; 130444166; -1; 842110384; 462360275; -1; 143537735; -1; 182295597; -1; 14672271; 988264658; 323022373; 38918504; 991244787; 205850941; -1; 603975357; -1; 346612681; 503324655; -1; 303459199; 338005678; 84785232; 606495557; 968569874; 369065810; -1; 882372637; 861483915; -1; 100090018; 383129637; 154456172; 808323380; 272732942; 985918932; 86119503; 73265525; 663466851; 218579720; 38438589; 36826076; 906492709; -1; 423647610; 118452153; 948427124; -1; -1; 213233384; 211606699; 302734089; 496140589; 485616635; -1; 224873043; 658720283; 23678171; 606702008; 706593544; -1; -1; -1; 248365622; -1; 139317302; 289881880; 234479950; 781803871; 445683620; 806273997; -1; 990333721; 101919500; 348216110; 654772353; -1; 151398183; 429784112; -1; 250538438; 910001283; 772809712; 59719135; 934819274; 939213999; 694622891; -1; 850300182; -1; 690705534; 601819376; 202453220; -1; 389660961; 406828987; 227718011; 705446176; 717367568; 480066968; -1; 832122896; 313909943; 932202767; -1; 674952749; 879436163; 396711357; 372934723; 668633506; 456282135; 322238949; 115569493; -1; 761598241; 56200180; 60462811; 31439096; 44012393; 472980391; 211461609; 803231737; -1; 502340618; -1; 392492770; 543734368; 153836604; -1; 305600157; 184572919; -1; 524671373; 128992886; 62589872; 39238969; 32580072; 221804708; 410185468; -1; 930394401; 843823497; 329224066; -1; 278608605; 697970773; -1; 635533824; 288781992; 146463691; 312491586; 692834715; -1; 855125446; 318576989; -1; 368787496; -1; 951343697; -1; 375685186; 793373634; 205516463; -1; -1; 788340082; -1; -1; 419130761; 477217067; 758763063; 281330961; -1; 713054980; 155782342; 105949207; 614816128; -1; 896165579; 947076576; 842114681; -1; -1; -1; 68354796; 195778983; 974571401; 716272008; 421424306; 11290127; 597552996; 309859392; 667770380; 400489175; -1; 625905979; 281581198; 264730818; 136459127; 383011260; 796609585; 692502616; 342057800; 584343419; -1; -1; 311850660; 383086002; 865868598; 253346500; 233274873; 256740593; -1; 657206558; -1; 893262974; 838309839; 14388551; 330324890; 440552410; 245579920; 628255890; 852017180; -1; 218437312; 264102146; 133387867; 347982344; 47930548; 931588825; 304333869; -1; 78459273; 36391691; -1; -1; -1; 18538929; 320580303; 486074489; 127926383; 282284020; -1; 392303259; -1; -1; 272882678; 978291158; 326243443; 27731886; -1; -1; 291679641; 701588219; -1; 427556650; 310666092; 948415759; 742508397; -1; 577279230; -1; -1; 699740744; 147927769; 322542672; 396806009; 18639850; -1; -1; 992561374; 828211707; 142930517; 311103976; 351122521; 395165587; 690482681; 861851242; 156337560; -1; 516665190; -1; -1; -1; 877541261; -1; 104647371; 12187206; 127922526; -1; 131573877; 94198986; 604346917; 313579174; 750312976; 746432373; 451813125; -1; -1; 502833167; -1; -1; 719137641; 86520460; -1; 861048370; 68504517; 474960887; -1; 763078055; -1; 160439797; 407146470; 798971721; 985754306; 977555738; -1; 198428136; 555492542; 820883162; 360366900; 28167377; -1; 104367764; 771369172; 115465942; -1; 897837052; -1; 516294516; 507564905; -1; 979318777; -1; 311343245; 341836383; 601665831; -1; 41317180; 611111045; 568752305; 892048356; 544294995; 727022582; 912211101; 122764347; 182082108; 433847301; 947070714; -1; 818198244; 446225439; 278463054; 989431044; 212009001; 493029540; 960887081; 376832758; 750519102; -1; 27890301; -1; 226788275; 384336437; 777868657; 979254326; -1; 641035123; -1; 99043771; 365332820; 274810114; 646006136; 966062475; 277162293; 811714631; 281642019; -1; 303856632; 994682796; 9921056; 40326980; 594932454; 158321046; 618427536; 934842624; 193175658; 7438480; 394417272; 771851744; 74257162; 212286528; -1; 408248227; 728424568; -1; 795476208; 638486235; -1; 848317641; 904863604; 686956281; 637636687; 900123550; -1; -1; 7610739; 421666324; 318473980; 612335855; -1; 687796927; 951492109; 442984766; -1; -1; 458608926; 495494269; -1; 687933450; 640226163; 234006115; -1; 216553360; -1; 647408614; 48841906; -1; 405825726; -1; 659173129; -1; 914428336; -1; 655991858; 95090566; 343802229; -1; -1; 43471045; 821150280; 318071857; 948094641; 87662660; -1; 185735547; -1; 596872570; 723516838; 158533314; 737342300; 182277704; 378039713; 944330344; 58808102; 58040006; -1; -1; 759831581; 205035333; 404424429; 132227952; -1; 631238085; -1; 257051567; 941007474; 387036926; 679377646; 515557032; 119699956; 861131840; -1; -1; 555585268; 194575431; 638218421; -1; 974096413; 480401827; 566777622; 428593667; 596433901; 921023777; 688187151; 947291437; -1; 890196748; 497090794; 489952240; 934685805; 830986304; 834035196; -1; 477658529; 261409443; 310262334; 159239549; -1; 17590701; 536459173; -1; 280113601; 635450928; -1; 296775551; -1; -1; 637176428; 780053819; 516616756; 571879173; 751089164; 835360508; 783995918; 558552836; 915009266; -1; 341890615; -1; 37551466; -1; -1; 525856660; 885076560; -1; -1; -1; 159243287; 901067188; 721531741; 479620986; 994218795; -1; -1; -1; 996417641; -1; 649347941; 857483601; -1; 54425540; 842125661; -1; 112748629; -1; -1; 443166437; -1; 242116188; 903707994; 746517697; 916895700; 124723387; 905758550; -1; 181836119; -1; 45253824; 56253726; 235827507; 400820153; 292571767; 862043617; -1; 874085127; 129905571; 791297696; 303612665; 876264107; 612931388; -1; -1; 818547721; -1; -1; 212940856; -1; -1; -1; 246082137; 494325796; -1; 96283299; -1; 323012120; 436302679; 988374597; 840131937; 226639580; -1; 40332998; 232114014; -1; -1; 324398783; 228225; 498270777; 359513064; 338536497; -1; -1; 942507237; 351871058; 936813742; 370550362; -1; 960530259; 676108126; 172762200; 594774762; -1; 264278821; -1; 502981290; 863731297; -1; 254906240; -1; 243348761; -1; -1; 930089269; -1; -1; 183332830; 727121689; 430206095; 696119374; -1; 241571406; 972817541; 124584069; -1; 280409783; -1; -1; -1; -1; 70009821; 990695823; 427546548; 446433063; 599790305; 604731139; 979773363; 76128855; 142903111; -1; 793588698; 251388304; -1; 883265757; -1; -1; 623333489; 92981421; -1; 673384942; 161228231; 735103220; -1; 968550760; -1; -1; 51597968; 369243411; 304714065; 413321005; 601314342; -1; 56643082; -1; 185026215; -1; -1; 544650920; 415245168; 809504263; 698700593; -1; 733333302; -1; 746808593; 111101387; 716447884; 772141825; 338727996; 999748168; 7649857; 82065873; 788109540; 65147977; 721217021; 415426734; 392386925; -1; 473751866; 117020443; 538400237; 33064525; 791257061; 84173625; 652367751; 317828154; -1; 704921817; -1; 352966542; 677180054; -1; -1; -1; 44057660; 797118366; -1; 985566777; 980246942; 217860877; 598734239; -1; 48585117; 761874913; 237438078; 176786190; 605674228; 553516650; 748157821; 481263276; 178539567; 313233121; 591981244; 522712667; -1; 744455018; 43542834; 265706123; -1; 860648175; 634348697; 625639884; 929211178; -1; 930646621; 389147239; 696975606; 108010198; 932415468; -1; 153650513; 742573456; 920257441; -1; 508795303; 263141749; 999250950; 504598476; 637539730; 963999042; -1; 187923923; 319618145; -1; 133857896; 513569603; 413158276; 455466674; 229029352; 537768839; 253928274; 878099159; -1; 885367927; 549958435; 4416798; -1; 826969727; 48416703; -1; -1; 880077525; 678208206; 122549066; 393720599; 1925756; 959398561; 516012274; 330592093; 150328072; 441242514; 284745913; -1; 907116084; -1; -1; -1; -1; -1; 361630826; 794453517; -1; 90633992; -1; 56298587; -1; 635915937; 759883852; 364229286; 505324815; 282551786; -1; 44839635; 473349441; 436247947; -1; 255092225; 945131737; -1; -1; -1; 612482129; -1; 243523811; 734145220; -1; -1; 890453770; 586962085; 826753914; 827653161; 481651719; 34677014; 200510887; -1; 649846445; 798456997; -1; 489503167; -1; 94509903; -1; 770879663; 886266679; 581735623; -1; 601399836; -1; 223327783; 909963394; -1; -1; 695395892; -1; 19247409; 455402978; 911471099; 869287708; 882992439; 149205244; 917431862; 978586208; 287668061; -1; -1; 967539359; -1; -1; 415453660; -1; 194264744; -1; 333207154; 816136839; -1; 132607242; 897384686; 837857827; 664065374; -1; -1; 261466897; -1; 113109319; 755069570; -1; 653977991; 527697835; -1; 770997779; 983760464; -1; 302411813; 434706676; -1; -1; 311380875; -1; 684801895; -1; -1; 471489266; 158045070; -1; -1; 295026797; -1; -1; 212844065; 269149970; -1; 894162061; -1; -1; 809238279; 213382828; 371071230; 458534155; 465548414; 337107763; -1; 910022429; 26921374; -1; -1; -1; -1; 736947074; -1; 78319965; 44967484; 294285363; -1; 447950112; 50008433; 351674794; 852999479; 246109450; 323138551; 20274487; -1; 133361271; 984518858; -1; 112778515; 421338890; -1; 934553681; -1; 824434672; 324582641; -1; 129297172; 173552237; 831136162; 302739186; -1; 518966487; 4531589; 757029454; -1; 639779062; 826902759; 251609134; 451501268; 932099049; 218463876; 115274374; 503266863; 739403937; 898744031; -1; 48386697; 452703686; -1; -1; 95579472; 463817933; -1; 953040120; 891961454; -1; -1; -1; 564656836; 753248926; 79061084; 583850860; 805450083; 679055259; 878391143; 322473452; -1; 933842702; 20893547; 351438227; -1; -1; 52156419; 306714238; 27746995; -1; 550527299; 388937850; -1; 833196972; 276570758; 40887197; 353524280; -1; 549313891; 436272491; 525079372; 118506788; 554595084; -1; -1; 906551785; -1; 392334530; 712774982; 754978114; -1; 25871971; 138951788; 557593119; 701037363; -1; 56469500; -1; 281961652; 827703742; 181682564; 756942903; 286558511; 591316475; 192875141; 382026143; 95934828; -1; 194057186; -1; 758796826; 129307447; 20891019; 28250392; 884194919; -1; 114771957; 511151657; 504793688; 93187910; 844718848; 382363928; 987266375; -1; -1; 396632026; 518349206; 457192591; 476557147; -1; -1; 543475470; 670172095; -1; -1; 360053610; 767822957; -1; 371407849; 337152958; 435028474; -1; 40994510; 314831996; -1; 924137747; 590665225; 793572137; 308887129; 57073385; 995622628; -1; -1; 629648653; 760626563; 119046152; 963831655; 439252696; -1; -1; 394902152; 517319629; 227756044; 387654233; 226825836; 853856401; 264034922; 742584957; 217937888; 542137743; 714391762; 129549402; -1; 590360833; 252908163; 18289155; 632414400; 113574943; 764827008; 581553448; 751473327; 823161642; 230173286; 254115945; -1; 251036862; 60849875; -1; -1; 488551827; -1; -1; -1; -1; 11125109; 876740910; -1; -1; 642690371; 842293028; 801160634; 480325806; 536599767; 862424736; 847868356; -1; 282761821; 783989146; -1; 751823108; -1; 407586824; 472082575; 821350526; 589534124; 126381905; 147121258; 714587142; 308335820; -1; -1; 756093825; 490215393; 576053890; -1; 810338835; 2653869; -1; 265263300; 661032871; 257899073; -1; -1; 954143035; 982212537; 235688732; -1; -1; -1; -1; 895559704; 672233475; -1; -1; 38551235; 12141517; -1; 535957109; 136526779; 289096015; -1; 618849938; -1; 427704252; 646960185; 609344468; 500030512; 672320597; -1; -1; -1; 333038303; 616487683; 896681957; 86364182; 891632084; 399364235; 503650465; 747402751; 34422653; -1; -1; 625449746; 380393127; 628959727; 667009759; -1; -1; -1; 388714894; -1; -1; 846591608; 791501020; -1; 436948724; 609270902; -1; 226519811; 231859526; 654042558; 685575816; 864320380; 659588314; 462916278; -1; -1; 751317804; 602709528; -1; 176315748; -1; 480521177; 462220925; 375377059; 136458644; -1; 48295752; 15990768; 416576341; -1; 566840626; -1; -1; 281042235; 576763744; 982471016; 512894873; 706226614; 56203429; 919877038; 196852731; 948464197; 858898392; 313669588; -1; 730719890; 760318740; -1; 849340550; 928767492; -1; -1; -1; -1; -1; -1; 101430565; 798462518; 403448067; -1; 375697372; 408222581; 489371387; 437692891; 586840856; 422635571; 240644109; 673816703; 854143626; -1; 521313206; 281975476; 791891295; 76101405; 98326299; 802459047; -1; -1; 151880412; 266281554; 595644976; -1; 31286316; 401430019; -1; 251730188; -1; 537389235; 392850188; -1; 299845269; 513118512; -1; 330252525; -1; -1; 739027169; 855833786; -1; -1; -1; -1; -1; 747149555; 209663081; 615234185; 858392942; -1; 460529487; 295014090; 267824701; 277374912; -1; 304780559; -1; 593058095; 198422324; 60464245; -1; 241980575; -1; -1; 252079413; -1; 443151617; 291096773; 265265802; 263913282; 147913779; 584731684; 517372224; 406029652; 436653341; -1; 834062899; -1; 165279584; 140887444; -1; 635458292; 212846631; 509528420; 354829730; 384766966; -1; -1; -1; 820382369; 765312895; 820307946; 729458518; 840265837; 560216433; 191367770; -1; 755318592; 122699393; -1; 428086147; 164714115; 530746869; -1; 912275276; 306945978; 704866070; -1; 958451780; 649385872; 642276051; -1; 531432281; 580805727; 398784739; -1; 394682640; -1; 539235046; 906027264; 172600648; 704520391; 891284967; -1; -1; 638224959; -1; 448350735; 95608090; -1; 708278563; -1; 16380183; -1; 168064814; 23369590; -1; 913119043; 531540066; -1; -1; 303376856; 672505667; 222343621; -1; 654835311; 888725524; 30842710; -1; 496056360; -1; 936010395; 603985100; 865805711; 101702068; 914341559; -1; 556739591; 259848612; 319057181; -1; 739962233; 847605444; 446820824; -1; -1; 717199295; 893131869; 512552441; 75349997; -1; -1; -1; 229865798; 522519835; 791327767; -1; -1; 612247628; 166074226; 633509103; -1; -1; 193554233; 154139001; 478556409; 858431923; 75172126; -1; -1; 649929229; -1; 79460414; 144782512; -1; -1; -1; 120259259; 175459646; -1; 422279424; 161909309; -1; 374998330; 183914242; -1; -1; 331361123; 97351906; 306998110; -1; -1; 478309288; -1; -1; -1; 917938985; -1; 105816198; 106093850; 686327057; 548996008; 978844967; 199136918; 529991395; -1; 965493940; 950928413; 364971937; 953180568; 706400149; -1; 313683115; 859225195; -1; -1; 542356674; 98288394; 447155162; -1; 942475610; -1; 967001640; 608244147; -1; -1; 194414785; 835202973; 123625265; 590939525; -1; -1; 922792669; -1; -1; 682201002; -1; 356776036; 395130539; 353789758; -1; -1; 247165539; 598023823; 643387463; 43817518; 61589051; 484551049; 828507079; 619592060; 798143918; -1; 520593830; 217148483; 155873424; -1; 667243110; 923851446; -1; -1; 798475672; -1; -1; 356104308; 948642686; 116300221; 823766817; -1; 88872797; -1; 299763421; -1; 302698101; 250489861; -1; 18492825; 106395927; 385654900; 819266314; -1; 567319839; 399338647; -1; -1; 725381547; -1; 54599095; 111368358; 327018806; 858176261; -1; 922042530; 496279865; 705186254; 771836257; 69626736; 867406381; 433314582; -1; 273638116; 531334920; 471398496; 409105131; 642416283; -1; 803365077; 119329142; 181299821; 453025770; 270604847; 349963438; 215223300; 844994683; 402197934; 854047005; 610168348; 564238804; 262266486; 435717044; 856941017; 790132057; 374930791; 119946854; 733878854; 174184134; 549525729; 129834841; 52692085; 194455363; 768013055; -1; -1; 285128696; 429734184; 933096023; 366950874; 579747674; 405727332; 717887332; 590044079; 261918645; -1; 417410620; 450449949; -1; -1; -1; 48317256; 905565320; 712190457; 733554933; 436270960; 531470045; 930144439; 550682424; 905808012; -1; 88032767; -1; -1; 572747627; 321542306; -1; 511587968; -1; 416501340; 14823805; 927202581; 940860867; 370263729; 867355219; -1; 962618591; 77413470; 575396688; 358297836; 101308363; 12906411; -1; 202725208; -1; 118090111; 461760235; 622284071; 62940743; 376167853; -1; 701092623; -1; -1; -1; 254597664; -1; 233618846; -1; 643436537; -1; 441768460; 127988362; 292276046; -1; 589879914; 946384469; 672138307; 105605386; 883314655; 976670617; 286535127; -1; 765499766; 511817174; 205910741; -1; -1; 322648519; 99066834; 765681642; 816568083; 564252617; 420702285; -1; -1; -1; 134254081; 116590653; 480181293; 720945109; 259902587; 471343073; 829934220; 876520206; -1; -1; 330630938; -1; 965223925; 737970059; 517377414; 379874317; 809872199; 612399373; 848534514; -1; 102347244; 722463219; 942603770; -1; -1; -1; -1; 628662212; 926309002; -1; 226857737; -1; 104996473; -1; 29635222; 795354154; 179036119; 708170055; -1; 592703419; -1; 666500339; 509117822; 175209598; -1; 17989842; -1; 503766454; 851380301; 589531098; 437074291; -1; 389580352; 246195334; 104913428; 773708148; 250263481; 986989867; 823398827; -1; 362583405; 744556693; 396651318; 731187051; 382279265; 347954256; -1; 483735782; 55008386; 137176786; 91685323; -1; -1; -1; 559874744; 459583969; -1; -1; 492704462; 549892424; 376194999; -1; 733470764; -1; -1; 569177776; 722703089; 974451839; -1; -1; 694564475; 703444560; 940339772; 793413706; -1; 503197735; -1; 982749331; 865936773; -1; 913737107; -1; 124382603; 247390195; -1; 842963742; 749169423; 23352886; -1; 427357771; 793520454; -1; 982275867; 672013113; 380829960; 765925626; 206396598; 128291887; 613730010; 238084525; 598889632; 17228756; 275697732; 57443475; 507244425; -1; -1; 718311385; 880284801; 280948305; 765444518; 659108057; -1; 511123403; -1; 717844908; 778083095; 627261438; 83117169; 899190700; 561448594; -1; -1; -1; 568001987; -1; 17581703; 26983368; 228533955; 164208507; -1; 151991398; 250532692; 570331028; 375041453; 857964265; -1; -1; -1; -1; -1; 97166090; 985399882; -1; 79718616; 39059121; 450929554; 20430066; 903109275; 54773974; 461604466; 540274274; 404236813; -1; 362606488; 580003898; 192471764; -1; 840614976; -1; 386000484; -1; -1; 484569234; -1; -1; 146940876; -1; 784255522; 649391620; -1; 859129815; 220634474; 908042748; -1; 395225940; -1; 968618686; -1; 192654947; -1; 319710752; 638875921; 403140623; 920399736; 499734933; -1; 538253758; 407998396; -1; 989919056; 189053905; -1; 902326916; -1; -1; 328874221; 934144011; 994773967; 113610471; 618923590; 175718488; -1; 891877851; 141393998; 828516349; 156034132; -1; 330642340; -1; 4022062; -1; -1; -1; 70512980; 928012359; 196157857; 162983904; 762297716; 73548088; 109084902; 637452335; -1; 303963713; 914094250; 782784807; 714828178; -1; 391157583; 449006496; -1; 69949080; -1; 820060429; 709321908; 133408244; -1; 144132362; 854034199; -1; 617565468; 817682388; 700327303; 100797612; -1; -1; 646928236; 899870668; 912376606; -1; -1; -1; 890397464; 552043996; -1; 126716829; 522380256; -1; 667706384; -1; 327666020; 986106014; 542755287; 841001136; 89635191; -1; 331995672; 386551219; -1; 643733736; 611088974; -1; 241540080; 537185605; 397455625; 878723989; 47578007; 312615878; -1; 982967822; 995659171; 148177553; 244178113; 503655673; 714061382; 394610974; -1; -1; -1; 563907955; -1; 264510161; -1; -1; 115498482; -1; 153147693; 437527404; 817214618; 837338923; 562106761; 399033317; -1; 752547905; -1; 389283950; 38612872; 684241057; 124051400; -1; -1; 120508072; -1; 159628845; 342069226; 820727045; 253865696; 45453361; -1; 489876888; -1; 107757888; -1; 42836881; 400575850; 813034457; 423528161; -1; 607793124; -1; 424489713; 939896721; -1; -1; -1; 834882057; 890060661; -1; 904083018; -1; 371037394; 731311005; 989913998; 860723079; 237242039; -1; 474803164; 606686543; 420721888; 84155109; 54013192; 222947354; -1; 182914378; -1; 760053240; 336931595; 894740148; 626131016; -1; -1; 721362246; 609985121; 340361929; -1; 660014485; -1; -1; 649913350; 894859196; -1; -1; 822300260; 582431483; 832088904; 37721601; 698655072; 480373043; 667960333; 320792333; 835077664; 176744310; -1; -1; -1; 436528633; -1; -1; 141094679; 974108456; 911060419; 914889472; 519978893; 216069043; 765490231; 146642248; -1; 876845856; 496301543; 875114936; 47115987; -1; -1; 25056322; -1; 650727726; 499539660; 619588006; -1; 201538323; 430284088; 44714548; -1; 444277046; -1; -1; 790466473; 140837053; 219276995; 109893130; 749163731; -1; -1; 560089872; 111603193; 682536523; 612815801; 128980034; 586824621; -1; 560293084; 612156966; 405134607; -1; -1; -1; 783337383; 732091963; 967505371; -1; 519751189; 559821080; -1; 198059843; 813402820; -1; 431971237; 791429250; 109481587; -1; -1; 283786499; 10478168; 399281926; 405356539; -1; -1; 180117083; 86795765; -1; 442479757; 466864789; 794912857; 856310939; -1; 807496651; -1; 314962186; 827661754; 678092614; -1; -1; 338485294; -1; -1; -1; 339483295; 148395111; 311458204; 982651806; 935023757; 64124339; 494853728; 703148683; 872367771; 859803986; -1; -1; 624040344; 998554040; -1; 602963300; 614482465; 8197372; 368947632; 188196124; -1; -1; -1; 417778548; 111988894; 588204742; -1; -1; 143280008; 87650183; 745984177; 856571096; 919852962; -1; 738106737; -1; 874607963; 385270854; 321872087; -1; 640000802; -1; 156131004; 633132806; 29052533; 453956286; 22619376; 326008204; 455904607; 356649228; 919522869; 10233055; -1; 839306934; -1; -1; 464508514; -1; 737289132; 662457230; 656937236; 7722099; 674089802; 643567199; -1; 717486387; 726732119; 984605861; -1; 661583928; 677863539; 227958444; 591088291; 44055776; 26054053; 908281890; 364590909; -1; 10461293; 899931458; 64526669; 576697458; 253687689; 737977783; 271766661; 295778548; -1; 533402218; -1; 186153223; 26424197; 322871777; -1; -1; 928040354; 54746706; 980543957; 219743114; 863080705; 363044010; 711040456; 158619118; 365947606; 978744486; 112690228; 856539267; 53066996; -1; 907694387; 727871893; -1; -1; -1; 840064978; -1; -1; 597515677; 232682109; 282816054; -1; 398525460; -1; 878647076; 550772479; 246249064; 391794863; -1; -1; 637639593; 253389797; 687736498; 59784239; 769846330; 736995340; 32664981; 172756576; -1; 532954096; -1; -1; 726227719; -1; 774704471; -1; -1; 397010071; 371003226; 888313247; 242655165; -1; 904381053; 635137336; 740002553; -1; 437583186; -1; 156727366; 43273762; 542724859; -1; 194005264; 139359077; -1; 558636173; 322053125; -1; 722584468; -1; 352678717; 295634945; 956238367; 701211993; 33876737; -1; -1; 927796389; 942185060; 893039549; -1; 104616921; 546325449; -1; -1; 722577494; 717871843; 583897439; 932556014; 984260641; 482070317; 921019228; 258341686; -1; 868569786; 732650388; 634813137; 360897994; -1; -1; 983433843; 740082533; 139477113; 78537462; 925739328; 839383463; 15484579; 988286554; -1; 737458606; 947348209; -1; 629430932; 184012818; 289216157; 787497363; 55701571; -1; -1; 355995359; 312977522; 660130299; -1; -1; 40925519; 26720689; 181411340; 13340010; 715387551; 53995155; 694480078; -1; 144720942; -1; 492680739; -1; -1; -1; 671427846; 161239080; -1; -1; -1; -1; 813868285; 529825030; -1; -1; -1; -1; -1; 726733312; 299486800; -1; -1; -1; 58040817; 967102076; 884626551; 582913603; -1; 716648252; 254200826; 152013289; 674138022; 409417939; -1; 877072918; 101780730; -1; -1; -1; 677238274; -1; 203643828; 444332860; 527444244; 953027129; -1; 688469392; 253693859; 545726813; 339391142; -1; 837339882; 388546744; 612775985; 131805909; 84192755; -1; -1; 261334300; -1; 710004745; 321298345; 846473770; 921526384; 319535273; 692154284; 384620543; -1; 181949869; -1; -1; -1; 139902648; -1; 706343647; 857811965; 270128641; 267634488; 391779708; 375182248; -1; 392543347; 268259792; 531439982; 12027258; 760797726; -1; -1; 322747400; 536087211; 314016992; 120333368; 452872515; 528790904; 161929109; 584900219; 996738261; 624116812; -1; 353163445; 266149408; -1; 434406299; 674596081; 609936945; -1; 296471898; 349059393; 138264834; -1; 670308987; 28209618; -1; 365383579; 78789958; -1; -1; 275911226; 625119234; -1; 148693254; -1; 422354978; 314375749; -1; 65885824; 472906012; 174849798; 533329303; 662734266; 522248942; -1; -1; 145118095; 784657865; 301749513; -1; 256191770; -1; -1; -1; 160541580; -1; 717011820; 18532920; 831355516; 173903920; 938508888; 889060840; 300106923; 583002056; -1; 339677955; 709193138; 477239184; 626498989; -1; -1; -1; 237201167; -1; 168480512; 259190688; 943901805; 290595089; 150606613; -1; 961698423; -1; 134842546; 290641482; 275631985; 77058912; 139040684; 980370842; -1; 718406385; 754566073; 743540089; 674606159; -1; 817445885; 861819874; -1; 724525627; 571459031; 451789346; 637312371; 272949018; -1; -1; 521308673; 931245772; 723643388; 246268620; -1; 849869985; -1; -1; 124202651; -1; 592828198; 899450582; 512834047; 244002640; -1; -1; -1; 544857627; 871570784; 822067623; 787026754; 588394912; 328923676; 188000089; 214506529; 564417061; 420297859; 411774745; -1; -1; 732032917; 110489919; -1; -1; 259184198; 158115642; 123876345; 202062665; -1; -1; -1; 484876882; 575052453; 342544024; 343014023; 179663636; 14044597; 366350500; 382350966; -1; 475744436; 262202332; -1; -1; 334020734; 861361191; 281717162; -1; 67258536; 917925036; 888506493; 956321073; 63318718; -1; 746252762; 960408699; -1; 588474183; 983452550; 273667044; 2429175; 755082985; 133196209; 753626778; -1; -1; 70095849; -1; 332024262; 715283551; 553684280; 580165448; 694338857; 286899782; 911041921; 883540568; -1; 70949964; -1; -1; -1; 702874951; 67702633; 996692035; 87009342; -1; -1; 883956417; 249368679; 887289680; 790915666; -1; 51573311; 296345652; 631505935; 262972816; 190835671; 250838829; 179069196; 337571168; 122259419; -1; 361079564; 350676937; -1; 826221357; 798782453; 200776626; 184089864; -1; 754639772; -1; 870888409; 127157542; 389781810; 485762713; 879666876; 669699265; -1; 731838025; -1; 343471271; -1; 819529556; 735002822; 426052953; 563046645; -1; 930301005; 2697781; 644568731; 522369437; -1; -1; 834474931; -1; 326457734; -1; 111013154; -1; -1; 963904618; 210917287; -1; 302297538; 299512541; -1; 455365365; 944169943; 266193050; 937054835; 927911692; 92919623; 59507418; 637693590; -1; -1; 199012236; 603489813; -1; 322220819; 619863579; 820890775; -1; 287207397; 556858940; 147394900; 692921681; -1; 180008542; 604032192; -1; 679539834; -1; 117348905; 517127238; 709266253; 452098517; -1; 935775798; 12133383; 192042518; -1; -1; -1; 24395354; 142286958; 991264107; -1; 188643662; 428668522; 902385243; -1; 805250931; -1; 762926767; 112390881; 563977380; 68810112; 914049369; -1; -1; -1; -1; 809957325; 912999287; 350663738; -1; 803400959; 729613752; 632130234; -1; -1; -1; 371130886; 707975477; 461003655; 45465902; 226789610; -1; 436697479; 57455519; 718971133; 663556028; -1; 649973980; 636253139; 548486119; -1; 116821119; -1; 663881633; -1; -1; 703904371; -1; 925688210; 926037859; -1; 181452356; 663316205; 331475792; -1; 517486400; 57589495; 221545813; 930487911; 270933790; 792222920; -1; -1; 360973617; 911566070; 469436388; -1; 478897619; 326931451; -1; 119249165; 770027266; -1; 496184313; 470793891; 296149005; -1; 537474243; 399324148; -1; 928329403; -1; 170832845; -1; -1; 888401080; 867057342; 792030388; 705503124; 569056613; 365023226; 107890741; -1; 364500930; -1; 402053633; 866170474; 233669363; 497202854; 502822458; 583361553; 337010914; 934468428; 468642033; 122941105; 230863665; 383999412; 789964909; 901693036; -1; 199557174; 850183549; 928457593; 170087522; 745614913; 923909066; -1; 150250950; 409485571; -1; 854197418; 27057152; 649775413; -1; 915391636; -1; 429689192; 374974672; 449664067; 853780820; 888797299; 49319418; 95003994; 645912318; 711590913; -1; 820343833; -1; 104416603; -1; 82074551; 77311309; -1; -1; -1; 736841665; 243453757; -1; 841720668; -1; 40010285; -1; -1; -1; 226756267; 926423360; 261634660; 18986867; 882058746; -1; 260829924; 117371568; 427559621; 121142003; -1; 837983177; -1; 98193761; 694440049; -1; -1; -1; 605566943; -1; 407129665; 90738418; -1; 148472922; 160976433; 673111074; -1; 381033297; -1; 724867536; -1; -1; 461300960; 515230669; 611096768; 654982964; 301723210; 87188349; -1; -1; 938716438; -1; 200966475; 280523886; -1; 297999091; 141884862; -1; 563522358; 456697973; 149821698; 195060869; 983437241; 240876434; 874589673; 540989758; 257045460; -1; 161469459; 106281163; 420644578; 112800939; 875437896; 307101011; 348356966; 300803183; -1; -1; 317454725; 639499164; 953008410; -1; 259969806; 243322816; 685731469; 830598816; 516693103; 145882122; 853901598; -1; -1; 979147821; -1; 49585477; -1; 999918692; 762730505; -1; 915431738; 352678998; -1; 669180027; 642218191; -1; 354462165; 543144211; 341135065; 637804369; 396263498; -1; 663022873; -1; 844710733; 168660684; 115161224; -1; 208045691; 556391706; 608124072; 102191043; 310908472; 137111211; 35258933; -1; -1; -1; -1; 226426855; 11108390; -1; -1; -1; 504424785; 1369663; 776804097; 741579697; 6548147; 127361755; 487482589; 155916152; 167876844; -1; 937982669; 361829845; 591034685; -1; 969636430; 338041351; 314233272; -1; -1; -1; 698249564; 629816983; 673245654; 508881966; 204899457; -1; -1; 878495331; 565223867; 167664702; 804440293; -1; 261314677; 601723765; 212141074; 272592141; 12760414; 910662729; 358591702; 352104172; 940742115; -1; 863144247; 976822335; 915123351; -1; 509298620; 628175583; -1; 794810563; 691289313; -1; 696589939; 450575618; -1; -1; 77661552; 915494223; 3024223; 42836174; 329656780; -1; -1; -1; 738006934; -1; -1; 547723036; -1; 676126503; 204241695; 981540444; 187650104; -1; 477834990; -1; -1; -1; -1; 579420841; -1; -1; 910846571; 415958743; 618476568; 806826997; -1; 281949099; 222381590; 976254736; 308252828; 325139155; 201355772; 496589901; 320750787; 649995686; -1; -1; 97878938; -1; 19063776; -1; -1; -1; 995958635; 963125738; 302813202; 933768256; -1; 828711692; -1; 955518158; 883167648; 291698072; 316025262; 957919557; 117743836; 684097021; 60222930; -1; 570574226; -1; 94443967; -1; -1; -1; 472050855; 428017677; 838182052; 794553209; 429949870; 901726899; 471616124; 554371801; 258425237; 30814193; 341880413; 702163176; 796634800; -1; 520974179; -1; -1; 224178845; -1; 434099423; 578398058; -1; 836189590; -1; 313303505; 210818652; -1; -1; -1; -1; 591993071; -1; 242749658; 816478248; 530719535; -1; 504412769; 73446917; 258934015; 658000262; -1; -1; 353693749; 570257691; 756374769; -1; 320717186; 590347683; -1; 513425010; -1; 750204969; -1; 107375562; -1; -1; 419039198; 246347882; 376552653; -1; -1; 397379039; 926935859; 627499366; 458046786; -1; 634206533; 941489049; 821886098; 818550238; -1; 369729958; 281549737; 197593176; 101597372; 335726733; -1; 970509767; 818321115; -1; 218360185; 381752522; 55493137; 808488373; 694516304; 899254677; 997664874; -1; -1; 476783181; -1; 61484637; 807972721; -1; 818836669; 853550251; 312912473; 309775296; 948831988; 963743293; 898984189; -1; 751776215; 387959707; 742589939; 516904891; -1; 974405656; 726892779; -1; 328259081; 758844445; 106811051; -1; -1; -1; 426321216; 820172261; 361182164; 714464123; 96144402; -1; 873946531; 543606864; 729684630; 756552335; -1; 388714385; 472305856; 463751275; 296888150; 439315955; 413503492; 412198805; 291729288; 899236255; 700908194; 676927361; 239593553; 402207440; 845882475; 414593555; 848369777; -1; -1; -1; 188602767; 149678693; 60981688; 714916604; -1; 143511917; -1; 999098603; 505923509; -1; 570331946; -1; 401623217; -1; -1; 438682392; 269385762; -1; 305127136; 525922813; -1; -1; 526455803; 742531372; 369153744; 370299858; 750965040; 769309043; 317247826; -1; 803603864; 769138856; 161004189; 590600211; -1; 545095805; 217377089; -1; -1; 942700166; 801864979; 162445263; 989716196; 32743597; 156262825; 660883902; 562177212; -1; 964672928; -1; 687188675; 723714495; 172128778; -1; -1; -1; -1; 529644723; 726088764; 564351985; 855375589; 404393442; 324708571; -1; -1; 710413139; 877620209; 629512859; -1; -1; 211838160; 646376075; 951963702; -1; 63198599; 344287846; 649469058; 389092560; 280973578; 375009977; -1; 414413412; 191952815; -1; 983887072; 991641999; 233089044; 116806694; -1; 675287826; -1; 958957581; 716241892; 529140864; 692066425; -1; 502375807; 965948818; 82228128; -1; -1; 517526866; 496993940; 664572097; 477647119; 507419759; -1; 141490305; -1; 195785634; 104506432; 423142826; -1; 181343295; 66363475; 58855301; 779738263; 330295610; 735433033; -1; 822787157; 888798381; 216047429; 490860523; 847277056; 439654796; 249893876; -1; 87299115; 828813181; 366153546; -1; 903634054; 230050915; -1; -1; -1; -1; 844493583; 620416669; -1; -1; 825849562; 281201273; -1; -1; 272511978; 839411950; 747938474; 591720634; 865055370; 714506883; 41442238; 213327721; -1; 483314669; 791095475; 411299643; -1; -1; -1; 884665271; -1; 882662150; 840172023; -1; 309534682; -1; 950157938; -1; -1; 369701837; 347272574; -1; -1; -1; 534365401; 491317475; 572866548; 113904144; 127014996; -1; 323520027; -1; 824341999; 140891557; 640658203; 967282421; 53534677; -1; 264776064; 204091444; 491192783; 575243060; 997963440; 388073318; -1; 978280084; 81077264; 300627208; -1; -1; -1; 567907305; 285290008; 473243272; 112689525; 311530867; -1; 936446388; 560350031; -1; 121982130; 249911696; -1; 363816426; 444444901; -1; 600030004; 616899247; 548197119; -1; 432691500; 788655141; 936377611; -1; 412863010; -1; -1; -1; -1; -1; 968557625; -1; 399017784; 991964966; 238344099; -1; -1; -1; 554820884; 536979495; 116771478; -1; 566040090; -1; 426468563; 204343612; 26072782; 336265448; 490005453; 161950426; -1; 12539160; 309464683; 698790470; 22402776; 288778578; -1; 179577317; 57089756; 695744072; 190142790; -1; 679617658; 612818153; 70206008; 203964889; 503443068; 338498481; 495337313; 236215340; -1; 999156292; -1; 566633242; 626350968; 823942257; 780111367; 961532847; 215553853; 646505337; -1; 483040822; 551170023; -1; 949362718; 427116970; 603015611; 755091361; 728532454; 587634221; -1; 702244128; 314098214; 85653485; 962415178; 706619248; -1; -1; 564027024; 941490041; -1; -1; 593308624; 39693718; -1; -1; 773550305; 369368592; 266948138; 149671465; 937417313; 36848226; -1; 298652302; 128291207; 410816271; -1; -1; 886413333; 750667008; -1; 235085415; -1; 90137469; -1; -1; 393199234; 822708676; -1; -1; 847891810; -1; 693419846; 197145549; 249044797; 399140601; 65201479; 209336069; 111255306; 660260001; 546801143; 52996557; 704471094; -1; 167946922; 180307034; 940440405; 782562523; -1; -1; 571812478; -1; 655482947; 660376030; 654437833; -1; 614390223; -1; 91770237; 428162940; 911230707; 161398758; 936870854; 33885357; 266386808; 366910984; 749876491; 669918725; -1; 781959854; -1; 867504742; 598075382; 373492859; 836687852; -1; 512124390; 145897610; 14122116; 873081065; -1; 210240969; 82030734; -1; 76565624; -1; 453467036; 540691768; 190836464; 547507272; 263436724; 127239589; 717168490; 259060820; 495436466; 329564220; 942949841; 530280611; 781673821; 149500343; 910187941; 9445729; 992629222; 421253651; 684906249; -1; 760340207; 427305594; 820494680; 25235296; -1; 353697043; 933895169; 757880382; 555469802; 186028120; 406346510; -1; 200567478; 891084924; -1; 60398021; 708644285; -1; 479594893; 389326356; -1; 416982103; -1; 459511855; -1; 518819233; 122307811; 881313514; 279494682; 755891141; 161053740; 205074860; 852241499; 970595737; 224492990; 788583892; -1; 257611774; 435500138; -1; -1; 146502447; -1; 370750066; 192431646; -1; 266823226; 100857936; 778465666; -1; 577698765; 600948683; 155280036; 899348979; -1; -1; 714631939; -1; 216547683; 204051194; -1; 497885542; 605365234; 761796180; 118145341; 336730368; 980612614; 730232344; 419755867; 158085932; -1; 704742786; -1; 908066594; 722042635; 405568105; 884230085; -1; 280440580; 693967846; 855179903; -1; 208023440; 670546728; 833620364; 540073366; 15050212; 864983723; 381582609; 211721125; 785982284; 798075484; 655165279; 453879207; 209735399; -1; -1; -1; -1; 954183813; 294538258; -1; -1; 561454627; 589662033; 481283784; 953109449; 829102920; -1; 166436992; 498884824; 345942529; -1; 167089879; 742072371; 127558811; -1; 926886829; 124906559; 240288775; 631249538; 819334454; 722891290; -1; 399723429; -1; 814634924; 203658400; 149395385; 56261016; -1; -1; -1; 922001962; 485065304; 275154449; 829384231; -1; -1; 588092657; -1; -1; 284157982; 577208950; 335862931; -1; 771474590; -1; 949026259; 119261161; 648221152; 412592451; -1; 144189321; -1; 391777367; 690459953; 156722721; 336552390; 148648467; -1; 547763128; -1; 630845038; -1; 454237623; 995543128; 238315486; 706150612; 419067895; 762655860; 298137758; 504085715; -1; 973969510; 349126541; 473322526; -1; 172052408; -1; -1; 565113694; -1; 473567323; -1; 679183095; 808857520; 262596648; 878517556; 998217799; 849538732; -1; -1; 960270771; 7652982; 734303002; 625523898; 644902074; 536780581; 213413647; -1; 375879154; 731548257; 532263678; -1; 416983740; 509515369; 757914780; 612484482; 31764673; 21868933; 860676904; 97571429; 57404107; 215396252; 134582637; 350187587; -1; 514949702; -1; 650976117; 367164923; 632829893; 611093905; 206804776; 655438571; -1; 584140575; -1; 227522667; 497500725; 586113193; -1; 772087916; 123730877; 506530267; -1; 964357771; -1; 248657319; -1; -1; -1; -1; 996985828; 706067078; 562113600; -1; -1; 475129795; 479412581; 100288582; -1; 792655986; -1; 787755620; 269597107; 451871098; 659843945; 661775787; 901792381; -1; 812270826; 550563967; 23906609; 606737014; -1; 534914861; 28903502; 242639804; 926264429; 405046411; -1; 77676977; 655137223; 94160304; 193367741; -1; -1; -1; -1; 843461252; 799624571; -1; 34772819; 135123240; 409703429; -1; -1; -1; -1; -1; 81697152; 936964591; -1; 355500075; 643197231; 640092038; 9904; 65025626; -1; 262691173; -1; -1; 623031180; 149691067; 142141735; 783789473; -1; 37205000; 857127296; 453324746; 806360395; 247483077; 403724441; -1; 719628608; -1; 807450950; 351582687; 879714737; 167564652; 384774205; -1; -1; 326190061; -1; 501199972; 877456797; -1; -1; 602848752; 574433984; 778578213; -1; -1; -1; 949108441; 574694815; -1; -1; -1; 918849492; -1; 29083887; 568165785; 48419668; 193280306; 996745248; 928858914; -1; -1; 363175550; -1; 875633383; 564535142; 753382253; -1; -1; 648647519; 534288611; 312658705; -1; -1; 892481028; 462531680; 866246213; 953525808; 630800721; -1; -1; -1; 8741598; 441585248; -1; 666057322; -1; -1; -1; -1; -1; 553545320; -1; 676394364; 910043292; 244181971; 220247385; -1; -1; 842060831; 636994643; 176765503; -1; -1; 757893594; 520385573; -1; 601730269; 630625054; 817546239; -1; 460670087; 704041714; 199650964; -1; 655393955; 589704156; -1; 220174536; 789775267; 830080657; 508496891; 868867426; 908678203; 450805139; -1; 524965497; -1; 287132932; 320324216; -1; 777013200; 475672975; -1; 387460371; 686583993; 278967659; 263844341; -1; -1; 241249988; 585161659; 166439039; 123836310; 221786545; -1; 419450093; -1; -1; 906247238; 117655745; 578974271; 210631545; 188620386; 534441324; 760761228; 696290546; 999048354; -1; 588695465; 318573961; 64423673; -1; 786045002; 505323034; 873963795; 498970801; -1; -1; -1; 372497710; 497131936; 511814597; 684711331; 914670573; -1; 851531599; 704009930; 269558317; 283379543; 425639789; 273013802; -1; 820401208; 102839230; 779816301; -1; 89574694; -1; -1; 19910427; 737461689; 968789511; -1; 402799098; 118887508; 261146686; 365903118; -1; -1; 604111590; 263404155; -1; -1; 526795884; -1; 603817074; 722877398; -1; 134574554; 836843427; 632977760; 891722542; -1; 444283205; -1; -1; -1; -1; -1; 111975358; 609976281; -1; 93519398; 835717886; 314264505; 68733471; 518766763; 196897827; 896273531; 941867390; 777743431; 862374024; 562934593; -1; 544611822; 415785152; 162793220; -1; 573703491; -1; 42822821; -1; -1; -1; 271552811; 320322079; 701696843; -1; 973574018; 815455940; 294324502; -1; -1; 434033789; 80643518; -1; 959306667; -1; 898546503; 205359211; -1; -1; -1; 185763866; 980067591; 711604430; -1; -1; -1; -1; 746063180; 466891717; -1; -1; 150734662; -1; -1; -1; 667201332; 977331935; 335916641; -1; 732728528; 640322909; 638280912; 799767848; 874588932; 463174871; -1; -1; 819973240; 626852360; 937940093; -1; 362294942; 573148506; -1; -1; 482968642; 342159393; 755767655; 559723695; 191119038; 445570657; 635784242; -1; 311981459; -1; 997159559; 246290638; 915605594; -1; -1; 220504660; 984229730; -1; -1; 257975323; -1; 278371066; 73565341; 116891593; 942013429; -1; 409584615; 977148992; 979328132; -1; 655675833; 936118194; 879516670; -1; 822804330; 994534776; 216992347; 190218169; 316769481; 678749207; 472602098; -1; -1; -1; -1; 719087847; -1; 474611228; -1; -1; 278962997; 790678078; -1; 390834314; -1; -1; -1; -1; 243064779; 85545349; 407663526; 929320196; 977376058; 988584313; -1; 933329131; 811394939; 530539492; 318601493; 292381429; 643851328; -1; -1; -1; 96158298; 811616578; 785308550; 309820609; -1; 310898033; 796809522; 644938590; 534219673; 981576437; 315481320; 689539327; 274530799; 476694930; -1; -1; -1; 579874511; -1; 187132840; 772963427; -1; -1; -1; 293811734; 250575911; 779477003; 73669296; -1; 743773087; 64559145; 589706092; 329489668; -1; 617667702; 557546875; 264346066; 310966531; 451901775; -1; 169015450; 499102406; 960823317; -1; 308447029; 60606270; 371322217; 864476051; 609148562; 508670576; 957421344; 631759181; -1; 255661506; 176449292; 260465757; -1; 888276749; 148643931; 115349036; 951369377; 896378685; 91777572; -1; 790496392; 868799463; -1; 591001932; -1; 51616012; 856356555; -1; 71537319; 37780576; 854623976; 510597332; 190853171; -1; 870472518; 478202833; 458546432; -1; 231167281; 131769293; 837449065; 899202468; 533431448; 623756192; 726253980; 653906275; 719730528; 274794277; 802470131; 400594701; 199419859; -1; 956137355; 366447052; 495106144; 471194756; -1; 412293426; 791170887; 108551978; 767510801; 932972485; -1; 762226661; 685414004; -1; 182321148; 160418461; 571088204; 809875041; -1; 515284867; 781806676; -1; 728824292; 894366220; 817097664; -1; 739711570; 374823696; -1; -1; 797005166; 169541015; 51050196; 224416724; 663765165; 446379984; 218944542; 595928424; 26061714; -1; -1; 855763231; 114014886; 420497010; 172141130; 861825602; -1; 96385175; 170035735; 944658495; 854418785; 560657037; 349618923; 996990469; 380754657; -1; -1; -1; 321452377; 698432131; -1; 321512980; 158905482; 328376650; 801580801; 452119279; -1; 937325172; 49511360; -1; -1; -1; 41279233; -1; 817233038; 517288609; 465903284; 52417477; 741725265; 388316319; -1; -1; -1; -1; 835726063; 928012226; 763725663; 63814918; 752204267; 25408697; 77134630; 621929718; 914569464; 950372662; 171833220; -1; -1; 791654046; 861531156; 750753098; 285959156; -1; 221902757; -1; -1; 164935672; -1; 335249268; -1; 844045455; 863321479; -1; 661425601; 530128374; -1; 698289803; 814526191; 477072128; -1; 826818655; 7241092; 962650597; -1; 807477857; -1; 912433126; -1; 763007627; 644644863; 545135174; 474668170; -1; 206059167; 704117977; 393095942; 345877396; 249668724; 66382443; 36841195; 583872351; 941874792; 258528126; 293473795; 350621588; 284637913; 387386759; 174785423; 957981362; -1; 883506608; 636329107; 512615370; 62627918; 857601496; -1; -1; -1; 279758625; 79161463; 606099905; 375962233; -1; -1; 669759757; 86516299; 169717400; 661508396; 630178663; 520287174; 966497472; 362857092; 997283748; 660251868; -1; -1; 572267959; 515206503; -1; 747339783; 897539508; -1; 438307812; 289058936; 72211348; 389213211; -1; 420595413; 632644829; -1; 721622918; 539175126; -1; 602197560; 325427171; 987483723; 59457148; 24367114; 430607163; 669794595; -1; -1; -1; 497954881; 3286348; 90070262; 149129309; 729462180; 875853994; -1; 373245263; -1; -1; 851771259; 653782212; 66890522; 339503374; 710779745; 853742735; 324515028; -1; -1; 770734633; -1; 294354672; 529315882; 854816893; -1; -1; -1; -1; -1; 874542990; 288674289; -1; 770940194; 820593866; -1; 904266285; 688673453; 463812315; -1; -1; 281397273; 934928426; -1; 856136543; 306071067; 401916679; 726897066; 852633390; 2212773; -1; -1; 545217518; 726897114; 731482662; -1; 76154204; -1; 711263554; -1; 309843588; 127418995; 399027423; -1; 747173571; 119775387; 715004522; 86658586; 969767041; -1; 104115177; 874046947; -1; 252283393; -1; 645500204; 18449651; 595530939; 970376856; -1; 66946631; -1; -1; 814204190; -1; -1; 367493288; -1; 495575155; -1; 968426471; 430580999; 607894093; 37622067; 811538859; 854782328; 912724250; 594643861; -1; -1; -1; 760111192; -1; 623001343; 496338045; 89932939; -1; -1; 110377243; 326385119; 997903401; 171434102; 307447649; 463135581; 66139068; -1; -1; -1; 355828342; 431303389; 240298863; 986531624; 510802117; -1; -1; -1; 634368435; 778643397; -1; 457314905; 838267498; 610155792; -1; 585257988; 147088212; -1; -1; 118277093; 163794576; 494758080; -1; 456588562; 889009014; 167453451; 113203608; 523327298; 65939491; -1; -1; -1; -1; 813876135; -1; 435215416; 804256985; 252413007; 828742553; -1; 887994335; 552905468; 88481307; -1; 697256233; 653699742; 319369220; 705824492; 37390881; -1; 158821745; -1; 434871631; 45196576; 315521373; -1; 92458896; 778645830; 587611453; 987202445; -1; -1; -1; -1; 447008305; 887187631; 931698561; -1; -1; 820647998; 466604615; 668173997; 520032566; 939885750; -1; 771040709; 42147093; 575200044; 838051589; 795172204; 125901850; 436675871; 701796929; -1; 306162353; -1; 936242162; 733066806; 508320269; 850693964; -1; 734808232; 358400668; 478798341; -1; 314265365; 530636681; -1; 561553962; -1; 898920813; 388401530; 965704437; 158190723; 608986352; 631928457; 601084763; 719856570; 880490213; -1; -1; 243411898; 378994029; 329318077; 993079580; 875639385; -1; 870598761; -1; 400287704; 209043436; -1; -1; 755188479; 694184935; 123548862; 191991681; 172182141; 764336950; 891741648; 945431217; 416316505; -1; 540613298; -1; -1; 471238054; 457536032; -1; -1; 451354571; 248496765; 978672465; 21564553; 631605636; 848351357; 92121573; 639970647; 45427441; 419456379; 799950032; 240081409; -1; 285845121; 471122528; 266115104; -1; 517700756; 340786991; 828245793; 125773972; -1; 165271493; -1; -1; 964114552; 847502588; 651048188; 909287080; 554390579; 179038141; 319813288; -1; 32902396; 884508555; -1; 848298985; 329703568; 29518398; 810212089; 341841496; 762406; 874752028; 528490395; 639460925; 577577688; 593842228; 694105973; 519190909; 362724039; 814389877; 470838829; 34034166; 479852135; 507352596; 230146463; 249696740; 284765583; 339000136; 378015353; 341463247; 466281773; 400532257; 253101333; 157290611; -1; -1; -1; 823095953; 803636344; 124223920; 127581282; 185445094; 521939119; 194091780; -1; 484925352; 751740443; 125080655; 915062812; 536477723; -1; 235508981; 154500857; -1; 175598890; 320266391; -1; -1; 914211106; 247538616; 170410349; 237772558; 674069970; 975962675; 371447213; 823728675; 986182120; 600038712; -1; -1; -1; 953025143; 117495845; 805775688; -1; 936601208; -1; -1; 599511714; 347817030; 506168629; 129972831; -1; 406371598; -1; 70355484; 397940321; -1; 975817191; 702900379; 198564124; 354026515; -1; 286382689; 444125726; 689585128; 101248436; 302118725; 111825030; -1; 529270394; -1; 209339724; 785461554; 393187513; -1; -1; 858766172; 284689706; 203310420; 662579610; 755916459; 658810012; 524658891; 347913921; 966675405; 681932175; 25746628; -1; -1; -1; 396748035; 859044129; -1; 991104902; -1; 896952179; 415049057; 335593384; 504533560; 910177993; 113613414; 64994456; -1; 14810114; 43523576; 319794615; -1; 99653072; 781767022; 168485125; -1; -1; 943843756; -1; 637270978; 568343554; 964977979; -1; 799244579; 351670590; 794961296; 274287051; -1; 871120096; -1; 365984930; -1; 498065525; 662044802; 138164107; 948832928; 447950260; 626307271; 463459251; 113895241; 377720293; 447633493; 741001738; 16033023; -1; 605228703; -1; 488178519; 436775136; 879201808; 636909036; 608979464; 784367210; 863485662; 191128383; 345815222; 721793273; -1; 586070351; 302507166; -1; 39442680; -1; -1; -1; 570809174; 169556577; 942567685; 162602495; 232797504; 247408680; -1; -1; 909325390; 453976893; -1; 956252985; 46775312; -1; 217403806; 82203777; 689973612; 471339216; 829967471; -1; 967958949; 634798567; -1; -1; -1; 950630453; 737109008; 667356534; 204025266; -1; 49996489; 739664638; 341544581; 525850991; 732061150; 938094798; 1791961; 623369922; 869409232; 988437506; -1; -1; 536088104; -1; 360670952; 345658519; -1; 47303418; -1; 351701981; 921070304; 396666417; -1; 164842801; 226995200; 390126573; 341630315; -1; -1; 766125404; 145825416; -1; 694435091; -1; -1; 505555681; 732399763; 70181168; 13866548; -1; -1; 926513490; -1; 238352065; 980653218; 184406574; 77018226; 194971865; 438909926; 813445877; 824977277; 565353433; 178974590; -1; 674513747; 233437868; 560713691; 438327081; -1; 339891192; 775187135; -1; 508163413; 562692423; 954899104; -1; 65141641; 787847328; 13543544; -1; -1; 560507111; 385331862; 968459408; 932316476; 112596387; 866130843; 890046639; 593370097; 312034063; -1; 172852742; 231723768; 802040087; -1; 135625537; -1; 437842051; 661468974; 796471765; 887596965; -1; 648007411; 808487192; 521031152; 554376592; 676562924; -1; -1; 783521393; 248258048; 125243461; 987233002; 748144531; 849883053; 752423704; 539331605; 849044935; 941172280; 955442887; 222335666; 571702589; 300043248; 190554394; -1; 803256357; 574933634; -1; 892110683; -1; -1; 830183555; 868916792; -1; -1; 62515755; 314052945; 816428210; -1; 462412031; 233521925; 924307341; 427769562; 423680364; 111505628; 52275807; -1; -1; -1; -1; 880570012; 438122533; -1; 255105182; 256454004; 715960630; 37660927; 96491051; -1; 988970152; -1; -1; -1; -1; 485213782; 675325633; 383157514; 136784715; -1; 602440493; 627089381; 632475936; -1; 906271074; 691142330; 24820875; 452997104; 380414015; 314104256; 956589356; 551376961; 255422656; 781146546; 428764704; 882678736; 753322650; -1; 232033420; -1; 764919824; -1; 956774368; 398424577; 767772689; 787999934; -1; -1; 741951628; -1; 315706719; 394646787; 825528423; 935595213; 361537850; -1; 663683609; 504236140; 39027616; -1; 865847964; 797915105; 421115035; 667483417; 392219108; 216674876; 103467745; 952427082; 832719112; 892326115; -1; -1; 834071487; 279633107; 529092817; 986182040; 482922756; 742018660; 98335991; 632799622; 167516238; -1; 753234811; 23681527; -1; -1; 514013026; -1; 879336519; 870968749; 298112911; 333393458; 813231864; 493321568; 61582266; 587465736; 566280527; 382483437; 847131570; -1; -1; -1; 966442725; 619483357; 849901889; -1; -1; 646449753; 243943082; 368142613; 878480209; -1; -1; 979256846; 953888461; 357806679; 416183281; 144273751; -1; 656493304; -1; -1; -1; 188439542; 9930992; 274040958; -1; -1; 780628102; 35571613; 376471020; 562140976; -1; 864845121; -1; 686147297; -1; 52983625; 978312908; 710093360; 733658745; 379665863; 154929564; 174686272; 74557868; 626837544; 273427907; 6945991; 282041793; 645025191; 348277420; 524756336; -1; 694738930; 695075725; -1; 518901592; 71640457; 83823528; 157094121; 457996692; 893805769; 145365591; -1; 266173408; -1; -1; -1; -1; 517557297; -1; 724347667; 606317716; 388941452; 560843396; -1; -1; 521773185; 193860774; 897256731; 604940978; -1; 653358836; 914099279; -1; -1; 391171447; 581034773; 834218304; 68569190; 145211204; 712193939; 155119954; 306749302; 358769292; 158654277; 763822051; 547220985; 137550986; 176306274; 104377185; -1; 948912543; 609170084; 488073715; 672587344; 877798609; 706398192; 286563973; 689767813; -1; 732457051; 581059583; 273268819; 232184017; 899666505; 255162472; 329481414; 186652098; 860446657; -1; 447263543; 887786391; 64810505; 673413286; 288639431; -1; 890315172; 7995562; 560216667; 465111381; 586655706; 865494416; 273064501; 125317010; 386689203; -1; 685731047; -1; 170716017; -1; 673209476; 915583781; -1; -1; 197474091; -1; -1; 218376212; 302469249; 282860603; -1; 900956022; 730012855; 736347328; 373708740; -1; 900776097; 161471567; 26187849; -1; -1; 73666722; 342452424; -1; 786564903; -1; 161483322; 309165043; 947781394; 505486181; -1; 357650841; 927675819; 241612475; 796162730; 943592711; -1; -1; -1; 985988809; 437131376; -1; 690511; 476971206; -1; 416900442; 661279165; 137747558; 303436602; -1; 151220699; 427800591; 967359432; 776069839; -1; 211416435; -1; 618815585; -1; 507728890; -1; 24608350; 370909787; 128665964; -1; -1; 83691903; 363668772; -1; 852802508; -1; 964996238; -1; 182145470; 186263482; 28491388; 426885979; 316825670; 451612459; 593915630; 693749750; 19661366; 729550427; 700494869; 959125066; 868196978; 392346158; 540182779; -1; -1; 505635358; 153155688; 627712510; -1; 196728412; 178346863; -1; -1; -1; 299265915; -1; 627327385; 318394536; 867849101; -1; 237977989; 727187629; -1; -1; 796368957; 598219950; -1; -1; 650262660; -1; 743315525; 335244228; 349231323; -1; 86944367; 102462515; -1; 770576575; 276260713; 262071455; -1; 891394653; 393006130; 930207251; -1; 228794409; 163470345; -1; 743499149; 15154130; 625366334; -1; 391275915; -1; 660028940; 124263315; -1; 519807573; 478850794; 572479339; -1; -1; 89973686; 978351830; -1; -1; -1; 701334152; 666937160; 512261328; 815398839; -1; -1; 345531913; -1; -1; 170584782; -1; 48467991; 756647240; 934612044; 644468447; 124487562; -1; 881655824; -1; -1; -1; 612274859; 413743216; 696131397; 776590728; 791369964; 356474763; 765651045; 998789926; 995572752; 791925853; 226872382; 661930879; 214693216; 289525637; 532465351; 917667554; 86394294; 749030465; 607348663; -1; -1; 487272434; -1; 455401885; 358347599; -1; 306065867; -1; 346535083; 981845044; -1; 911689669; 795265201; -1; 474684536; -1; 889564071; 975786473; -1; -1; 80380; 31330019; -1; 97610133; -1; 617971635; 106522837; 946495285; 938205078; 119822111; 960774462; 916513962; 152778217; -1; -1; -1; 574864918; 475863557; 385050953; -1; 659523470; 140646537; 955833748; 387312339; 246756996; 183476592; 419571748; 2476822; 272316903; 474812266; 546498456; 331988321; -1; -1; 50561535; 334371376; -1; 560673643; -1; 753038884; -1; -1; 795734681; 194992471; 197663037; 981880307; -1; 914268360; 160313434; 688534061; 835622291; 309269955; 714091600; -1; -1; 828707530; 803928628; 486087297; 806738596; 533998750; 176289274; 956365691; -1; 593700782; 852630990; 103158285; -1; -1; 42465462; 92373302; 644164467; 125273834; 927093368; 45005549; 620628000; 495453096; -1; 449060565; 122357456; 798748639; 967960058; -1; 287579089; 981952254; 52201039; 101026567; 231493924; -1; -1; 364302386; 121354130; 640825399; 171836680; 945817442; -1; 281059725; 929902803; -1; 427861575; 434417037; 54602447; 801304807; -1; -1; 567630102; 636339136; -1; -1; 297936140; 128572589; -1; -1; 66878365; 237842053; 36982945; -1; -1; -1; 80345970; -1; -1; 550823460; 227697591; 574565380; 160401683; -1; -1; 851001567; 622936345; 295968780; 180943635; 832510421; 451093442; 590862058; 772044327; 246114472; 502038628; 369662414; 764299161; 50687424; 194535244; 173968170; 485591566; 114003446; -1; 668833495; 865391151; -1; -1; 56171374; 162604196; -1; -1; -1; 344273105; 11250931; 991840041; 686476106; -1; 691379248; -1; 635955406; 499555520; 484611676; 650777020; -1; 742432812; 871018806; 174380896; 311461760; 497087630; 243985105; 289998698; 644318640; 614415621; 732493607; 211189454; 108737424; 970036290; -1; 884351131; 866948105; -1; 828885703; 454090055; -1; 630912454; 787632906; -1; 67400607; -1; 492960869; 290635168; 759584939; 549552227; 49800006; 800374163; 690750612; -1; 121363724; -1; -1; 875259819; 553297092; -1; 751350752; 665778863; 951452055; -1; 348558148; 870909062; -1; 668455785; 863421278; 138102712; 106306703; 220260320; -1; 843165859; -1; 981158007; 192587092; -1; 387641651; 746292667; -1; 700597616; 705047765; 786448521; 505586; 436292871; 751033405; -1; 765913818; 844088989; 485295659; -1; -1; 92089461; 790553610; -1; -1; 861438266; 499401507; 669857060; 618608668; 981358942; 544070240; -1; 909587129; -1; 231549255; 649764467; 634946499; 260136849; -1; -1; 957367748; 898831561; -1; 210889247; 690679315; -1; 253739080; 444103403; 695096705; 575137357; -1; 225465755; 984907053; 477884465; 819278819; 462998119; 166834107; 214367602; -1; 78772811; -1; 562444783; 175034608; -1; 320268666; 645074539; 156784009; -1; 807786667; -1; 39785258; 501385294; 128250734; -1; 659537883; -1; 37746892; -1; -1; 339478545; 985045329; 835871870; 549333067; 312527957; 409622935; 639901696; -1; 644752360; 549085970; 532290721; -1; -1; 871964078; 996207043; 846163715; -1; 772832563; 613096735; 435203737; 378192928; 347506833; -1; 303323503; -1; 392774219; -1; 784851242; -1; 445042911; -1; 516340040; 621128977; -1; 484403861; -1; 773276989; 5112849; -1; -1; -1; -1; -1; -1; -1; -1; -1; -1; 969290450; -1; 924494427; 335721881; 37217213; 324492238; 640954074; 768496914; 984144737; -1; -1; 544582829; 611541219; 478548279; 935308694; -1; 344956079; 790647133; 727889321; 426077523; 797699951; 940355773; 139919875; -1; 880109902; 367619686; 852853465; 638825635; 769325734; 184105289; 528390156; 399565937; 787145027; 278215186; 155016555; -1; 511775059; 114997931; -1; -1; -1; 524307112; 500416880; -1; 777734941; 664074025; -1; -1; 43923745; 382237774; 550885685; -1; -1; 666779390; 818296937; 144941536; 450797870; 58927050; 735211975; 643508808; 527937192; 929344517; 111761184; 79449860; 568528184; -1; 382913398; 890986226; 216485030; -1; -1; 661126253; 419860009; 711368229; 784195165; -1; 780134010; -1; 483343493; -1; 188867382; 168637035; -1; 585728964; 6249062; 16227374; -1; 669095860; 719758135; 830263767; 250479601; 701247557; 680390290; 74470802; 122513627; 268146496; 333067893; 233386789; 774239662; 853012348; -1; 485353399; 428720068; 428724084; 226655290; 996184829; 518060552; 743744431; -1; -1; 313506274; 301521432; 269221220; 623848169; 874906202; 726116973; -1; 243874139; 418516596; -1; 885238514; 254481778; -1; -1; -1; 741682013; 588462955; 491841977; 83805899; -1; -1; 101470013; -1; 132143937; 826988024; 229037998; 588549781; 917484066; 771462165; 845457195; -1; -1; 143608951; -1; 644639714; 708264405; 724557572; -1; -1; -1; -1; 223466179; 656285082; 977904080; -1; -1; 987359701; 122780039; 874519441; -1; 631304016; -1; 918115313; -1; 310498966; 852410478; -1; -1; -1; 103923056; -1; -1; 843395495; -1; -1; 905061136; 204415560; 588107986; -1; -1; -1; -1; -1; 639674530; -1; 937984819; 936029163; 3299792; -1; 789886611; 451675799; 580801112; 143146242; 986026819; 772407159; -1; 160874676; 976126; -1; 315329203; 456831917; 259083542; 799591089; -1; 553880025; -1; -1; 375535234; 81141988; 735745762; -1; -1; 442501680; -1; 603645092; 39892925; -1; 506385787; -1; -1; 336446925; 589646332; 257515119; 520992445; 224620471; 607285188; 416843086; 13946669; 166637613; 398484161; 542249879; 586824163; -1; -1; -1; 167232279; 845779618; 326833366; 240403078; 173825069; 148094943; 339064904; 877791107; -1; 585590634; 439981649; 185708952; -1; 104630670; 225431317; 950842869; -1; -1; 686842330; 590637058; 587924300; 428667241; -1; 911622858; 375248695; 385054456; 581758286; 465544211; 750166118; 521656644; 557586740; 577141787; 631716930; 899085734; -1; 28701169; 174182626; 113740559; 128151112; 836280204; 282444490; 39203864; -1; 824220046; 908761534; 741308040; 587827148; 782861096; 90852414; 719483938; 495205511; 686625252; 652819758; 725135457; 459095783; 164685241; 42297701; -1; -1; 330998631; -1; 266806863; -1; -1; 318344667; -1; -1; 989910446; 364635758; 741628341; 653273840; 504850148; 354136560; 890311346; 3121600; 77466013; -1; 840926282; 240374718; 442020099; -1; 622250429; 490639633; 823220713; -1; 52031979; 695604715; 215554192; -1; 322533031; 187813291; 89190303; 46260810; -1; 60970969; 918192856; 328383368; 104419904; 726486545; 557209580; 705744094; 811493324; 437299645; -1; 9172061; 15505287; -1; 72821446; 698888723; 574865052; 708445490; -1; 140231149; 778717958; 519518991; 895627146; 858067689; -1; 527822391; 278338885; 281227562; 586341432; 464771335; 401379365; -1; 225460533; 82946860; 695238620; 948672643; 937971931; -1; 440345744; 854406845; 795191945; -1; 697881976; 195139168; 809456229; -1; 729937316; 777456385; 164643025; -1; -1; 766595375; 462665520; 53808307; 485562421; 413192254; 993980234; -1; -1; 921702767; 48000035; -1; 626414186; 203030666; -1; 742385536; 36466442; 794316908; -1; 559750169; 938324233; 955668628; 627128632; -1; 310702606; 906934303; 423172764; -1; 362246705; 738791376; -1; -1; -1; 441661038; -1; 732487700; -1; 751657086; 67891629; 606733491; 884689317; 351130828; 882511558; -1; -1; 793882379; 941128867; -1; -1; -1; 727766527; -1; -1; 93187909; 466944295; 503326920; 186945585; -1; -1; 965945210; 73966881; -1; 254377189; -1; -1; 830107180; 961930782; 34713131; 321680935; 29070615; 607325292; 581910416; 886772177; 597710588; 724208707; 174043747; -1; 814651118; 377291306; -1; 434565624; 337479720; 851843334; 120406129; 707450651; 551331275; 715673201; 776001097; -1; -1; 366791685; 537022437; 630199097; 687335751; 732520222; 675060868; 290359131; -1; 156030535; 920774179; 886539242; 218857879; 440930633; 144401961; 957440133; 546773144; 792386076; 616771501; -1; 275207581; 765730579; 329374275; 911804828; -1; -1; -1; 280983092; 155929729; 993547676; 469278547; -1; 822046055; 521404735; 184989649; 705445979; -1; 845129819; 316730656; -1; 853099507; 763469943; 124722642; -1; 920621230; 166095376; 580522359; -1; 664156810; -1; 705105691; -1; -1; -1; 976777899; -1; 264979187; 14426674; 612580288; -1; -1; 850896094; -1; 577410300; -1; 273425405; 175424577; 195727595; 37081816; 138533244; 970810417; 749367246; 398522301; 131744909; 448794701; 188054714; 989192533; 671433324; 744797965; 817492576; -1; 468499331; 493465610; 866116828; -1; 442306439; -1; 166082531; 207622916; 931713347; 125351446; 263006431; -1; 986766484; -1; -1; -1; 532382369; 585352924; 64031089; 444457024; 871469121; 449028174; 661109905; 613141353; 385645744; 484541023; 637721140; 262705087; -1; -1; 875935543; 875738191; -1; -1; 916770052; 365849690; 466551405; 879441454; 160139740; -1; -1; 942765380; -1; 605979149; 564473059; 114499390; -1; 965167922; 719657226; 100376835; -1; 473376303; -1; -1; 892300214; 122729049; -1; 61082716; 217192332; 214934726; -1; 647895296; -1; 337118149; 803921966; -1; 168609325; 452637737; 835146613; -1; 495442380; 319079401; 761188544; -1; 662816266; 661150314; -1; 975832048; 265596113; 438725201; -1; 922380934; 951732644; 91037629; -1; 154768828; -1; -1; -1; 673925813; 929693696; 596000525; 153063241; 802691608; -1; -1; 566530286; -1; 411591758; 636054568; 597741166; -1; 379951830; -1; 552465697; -1; 388736943; 486456639; -1; 325896255; -1; 63108709; 670566064; -1; 943127273; -1; 763910199; -1; 195229122; 323056709; 224583131; -1; 344283932; -1; 638396794; 430453431; 32119843; 904252044; 219359740; -1; -1; -1; -1; 362742491; -1; 578936831; -1; 433241877; 629544834; 16055635; 213588902; -1; 574045832; 430599228; -1; 930064262; -1; 557979107; 670961546; 772439853; 870746000; 514309568; -1; 167129221; -1; 384091420; 620164057; 277236439; 155932233; -1; 414727778; -1; 416940521; -1; 278648714; 161096980; -1; 73055737; 642823773; 381332497; -1; 418754199; 989645216; 978194121; 70989105; -1; 16298905; -1; 891322101; 654696977; -1; 393648601; 608735298; -1; 421192748; -1; 424739686; 808028586; -1; 129889429; 352591547; 844507406; -1; -1; 408725040; 500988774; -1; -1; 912626252; 15715925; 892317308; 860710128; 839719459; -1; 912870053; -1; -1; 736464433; 902366627; 771313228; 228407975; 799608506; 687858478; 861561207; -1; 207487471; 530727858; 328936622; 465161957; -1; 628304561; 255993098; -1; -1; 294003930; 748709909; 126504335; 897034330; 89650706; 362877696; 291566075; 558975848; -1; -1; 5251077; 837176201; 335008538; 811273908; 295722153; 773390039; -1; 501566755; -1; 957026510; 626836614; 540992422; 443687604; 55097892; 104498070; -1; 373695908; 583055490; 322627594; -1; -1; 445382698; 507651023; 96866140; 19257816; -1; 832665290; -1; 969445747; 895638203; 336438302; 114186267; 795675605; 77904234; 737671060; 788555187; 301572109; 211694750; 230748055; -1; -1; -1; -1; 723793810; 719449356; 508367242; 559258811; 377758091; 573000906; 581413433; -1; 925309535; -1; 218866954; -1; 526919535; -1; -1; 633289327; -1; 939574838; 329992260; 520293227; 837687506; 228756124; 723656943; -1; -1; 372041394; 541931058; 275621107; -1; -1; 767913114; -1; -1; -1; 836682422; 318617690; -1; 13258746; 159011148; -1; -1; 873894713; -1; 153245533; 764166153; 985569256; 489722283; -1; 14248741; 161716888; 477590144; -1; 525395094; 834479917; 729984243; 688860030; 18434404; 437870914; 960615348; -1; 477961624; 973851240; 162905838; -1; 682787179; 945342772; -1; 254239540; 272817394; 668411608; 724475967; 195359823; 237384854; 941747816; 559430765; 223043695; -1; -1; -1; 356206278; 897604615; 209843265; 97915857; -1; 27275271; -1; -1; 38115602; 847606442; -1; -1; 151889364; -1; -1; 979907161; 416975359; -1; 870302499; 241433073; 106911228; 232526842; 427891443; 138327728; 148042436; -1; 846945784; 732365607; -1; -1; 946922751; 951376410; -1; 990809694; 566097368; 577700136; -1; 858018772; 876767646; 186931664; 523582194; -1; 134156835; 540931353; 159550305; 218406736; 847551589; 628131358; 288174161; 245368978; -1; 298473218; -1; 371683815; 80181949; 1614780; 31239184; 567787356; -1; 73447751; 217134842; 894750258; 877570986; -1; 226154574; 488929542; 937458496; 30483882; 227508977; 106569748; 518567315; -1; 173113860; 303711918; 52037149; 275484030; 749401532; 711295557; 436292885; 536284461; -1; 87403585; 594158135; -1; 177288224; 775327783; 232560791; 830501350; 247950127; 49883790; 771588693; 699909053; 782473675; 148342167; 944108526; -1; 575843985; -1; 993257180; -1; 343080171; 245324213; 806679022; 645681435; -1; 599839462; -1; 5028728; 384565743; -1; 57136891; -1; 957971755; -1; -1; 398147472; 973624436; -1; 475539035; 383156913; 314942992; 95765343; 521257872; 573927744; -1; 506227415; 481595283; 485523324; 916620833; 603445786; -1; 546008674; 950129624; 949912015; 217913468; -1; 823283868; 141211293; 785115952; 253074902; 942440728; 669193563; -1; 55657285; 254728186; 342055951; 710841386; 798102370; 678716747; 648600465; 441859316; 135968104; 474514350; -1; -1; 636219968; 822494910; -1; -1; 351555776; -1; 347016109; 604593387; -1; 786455894; 301731522; 856822266; -1; 798103593; -1; 152333739; 861261501; 585398805; 897090632; 397556217; -1; -1; -1; 581446230; 576493525; -1; 396665932; -1; 706195807; 785972581; 827933420; 804969078; -1; -1; 247327099; 295476772; 270683056; 695907141; 630863844; -1; -1; 899451786; -1; 654728871; 407229209; 285167551; 1961017; 559568055; 754414823; 192168929; 19827712; 910820121; -1; 651570649; 154883017; 877975870; 455084740; -1; -1; 421075799; 776789451; 354177488; 624110070; 592787742; 978332873; 562534952; 97532841; -1; -1; -1; 232125221; 576558343; 604198436; 474727723; -1; 861107913; 228351889; 337479256; 685850373; 756910822; 967561140; 267847925; -1; -1; -1; -1; 961797336; 653354891; 467811809; 724796893; 70337966; -1; 371262847; -1; -1; 819180502; -1; -1; -1; 593081386; 221739877; 555784447; 710859942; 306283504; 73152218; 48385134; 317864451; 436666067; 208643325; 737350762; 126437048; -1; -1; 953528249; 151952703; -1; 418540297; 86496253; 14193858; 223899971; 639487235; -1; -1; -1; 216654728; 34498424; 85655904; 780858152; -1; -1; 142163828; -1; 18618457; 477027384; -1; 513686684; 906924444; 539187338; -1; -1; 366961415; -1; 2207746; 656372483; 716644563; -1; 473762596; -1; 291829803; 11828655; 899766550; 120822801; 602830759; -1; 58562445; 877490500; -1; -1; 609944954; 831954196; 59095181; 397254090; -1; -1; -1; 389456800; -1; 137188461; 42423253; -1; 579653268; -1; 589016936; 52108254; 750310970; 705580280; -1; -1; -1; -1; 819373946; -1; -1; 144846448; 675048682; 36902185; 353636886; -1; -1; 392489342; 196503678; -1; 50145479; 490411120; -1; -1; 255069367; -1; 403236586; 989049396; 327958869; 65415651; -1; 945682386; 791011979; -1; 131745000; 690882015; -1; -1; 93619964; 899302451; 425734325; 673622492; 513876064; -1; -1; 995106587; 360209141; 929000835; -1; -1; 265979103; -1; 669609809; 611438122; 200497723; -1; 616281628; -1; 361449914; 999240503; -1; 553109769; 115391696; 969862544; 965846107; -1; 985994410; -1; 700170331; 956715284; -1; 387835269; 564073927; 483326481; 485768718; 280731277; -1; 462201341; 351199776; 954166062; 380515454; 985148503; -1; -1; 797447775; 473560362; -1; 438574533; -1; 103246364; -1; 870258129; -1; 571077937; 154412897; 831452639; 60367469; -1; 968070096; -1; -1; -1; 321383133; 812833018; 832898457; 419397979; -1; -1; -1; -1; 90729775; 300859025; 149547442; -1; -1; 60875492; 877789064; 603823701; 100957041; 468009631; 648810495; -1; 971096119; 512065529; 275812010; 404166031; 594805365; -1; 148789674; 790218716; 760191331; 147051210; -1; 498349671; 868696052; 600068683; 585131470; 298166903; 348602596; 400050102; -1; -1; -1; 763030570; 728220716; 517245592; 126555415; -1; 221388256; -1; 378181444; 513000952; 134405356; 832354132; 586712906; 711940286; -1; 914464967; -1; 261933534; 68303670; 530641096; -1; 3077023; -1; 177775313; 634434169; 534883192; -1; 605284516; 104722384; 175271206; -1; 799578747; 605166272; 84439809; 554596343; -1; 535452629; 990788570; -1; 514836270; 861429890; 998371273; 937359682; -1; -1; 847327638; 475719003; 672500591; 477465654; 559316865; 24138354; 933476896; -1; -1; -1; -1; 394576657; -1; -1; 132769639; 914189664; 940712805; 449314646; 815887194; 934878826; -1; 566855263; 52398497; 737289323; 984954517; -1; -1; 534163208; 341963857; 523408454; 364098984; 357434253; 401035079; 958553184; 143705643; 194663051; -1; 573949601; 270334411; 395024173; 607381361; -1; -1; 181729043; -1; -1; -1; 950958318; 381595254; 330957708; 396654344; -1; 174205229; 584300713; 824340527; 251394029; 856219935; -1; 14380911; -1; 561106941; -1; 398999325; 373418019; 457455666; 382501799; 889128206; -1; 610198087; 580386542; 680029472; 654959334; 564463303; 984175772; 177134659; -1; 171075189; 254417759; -1; -1; 756948198; -1; 338730192; 6437294; -1; 345600456; 158895202; 408942358; 505779932; 790942711; 245243568; 538834682; -1; 674080790; -1; 830435274; 796958576; -1; 710189925; 416371211; 156973444; 641649976; -1; 231806842; -1; 503510183; -1; 572848935; 646606093; 55127303; 390396901; -1; 304196065; -1; 163847164; -1; -1; 998562835; -1; 723388467; 767941069; 881244251; 457989447; 905342035; 579484783; 737573666; 544936434; 212474802; 503734734; -1; 68734127; -1; 141732055; -1; -1; -1; 36795280; 567399067; 951492314; 455580130; 21058701; -1; 345765591; 641894866; 707913404; 375564187; -1; 47579750; 501196343; -1; 389712618; 768598171; 909245052; 586727246; 456989628; 500251743; -1; -1; 633788818; -1; -1; 958586715; -1; -1; -1; 48293527; 522006701; -1; 492545773; -1; 552473034; 421615469; 809139925; 228356011; 847298204; 868630051; -1; -1; 466363167; 660789276; -1; -1; 196359752; 209648359; 448561737; 520781909; -1; 642268945; 502291983; 205228694; 581917925; 810367548; 426436877; 239579338; 81582827; 332778471; -1; 915648577; 19886357; -1; -1; 353155893; 263938205; 513278838; -1; -1; 451778546; 871765852; 31895442; 602392583; 39297258; 247431511; 468685084; 658810993; -1; -1; 526588737; 708587000; 723855124; 271099725; -1; 140025556; 653739002; -1; -1; 749869328; 373656016; -1; 216969568; -1; -1; 625343036; 772064183; -1; 225352569; 646455386; 534829305; 333400355; 851365401; -1; -1; -1; -1; 436351446; 505764337; 556364293; -1; 444980917; 179599059; 281027767; 811164293; -1; 426050513; 762346520; -1; 625603263; 84857919; 867301583; 494925681; 199833692; 884538144; 844001800; 228831446; 841685779; 346899114; 358248012; 354157622; 605625160; 373507607; 851683199; 672035362; 745765500; -1; 362318645; -1; 274107438; 866116063; 435334231; 482257376; -1; -1; 550662176; 64783800; 155933245; 894457218; -1; -1; 698696973; 518479649; -1; 262330166; 316066786; 86451814; 135132099; 247456021; 306856911; 832675989; -1; 701285022; 42346438; -1; 663024299; 264128269; 917418346; 434085843; 944186081; 286812101; 840099643; 597229394; 563244065; 217989949; 736028981; 195177862; 441006538; 452602618; -1; 280129905; 506021101; -1; 288652192; 999837129; 321840410; 907184953; -1; -1; 151000254; -1; 189731191; 417398076; -1; 509982531; 309011375; 934639660; 971018691; -1; -1; 800981416; -1; 349695272; -1; -1; -1; 167173700; 963221988; 370263260; -1; -1; -1; 298241308; 46993163; 762131243; 260677963; 416261262; 477387952; 967760837; -1; -1; -1; 94017365; 591358932; -1; 582375491; 65155097; 810307837; -1; -1; -1; 484877739; -1; -1; -1; -1; 766002638; -1; 494403980; 191804275; 465377826; -1; 484359999; 636966298; -1; -1; -1; 572600397; 215657614; 259737934; 989752517; 725797682; -1; 143200544; 109204242; 191430422; 532829687; -1; -1; -1; -1; -1; -1; 526525154; 798656474; 625572561; -1; -1; 50349590; 415983365; 43351078; 996171964; 410627842; 192291032; -1; -1; 983947699; 182185666; 147172232; -1; -1; 500533016; 810721726; 916871404; 480467371; 699715773; 415657307; 327104238; 615469359; 101277876; -1; -1; -1; 261960947; -1; 287952580; 701222033; 140518942; 396089213; 876206830; 697745101; 578005486; -1; 97108946; 715454276; 104390934; 215100609; 103094761; 192781708; 740918665; 345546375; 784319559; 430149130; 996164459; -1; -1; -1; -1; -1; 870458357; 233842754; -1; 450473131; -1; 433596013; 985749680; -1; -1; 325950559; -1; 95849053; 123707742; 200876082; 584105591; 121371576; 620157142; 121634653; 59029428; 318283726; 625870454; 657617730; -1; 13009050; 314702475; -1; -1; -1; -1; -1; 776595387; 583054410; 408848687; 259280533; 199058697; 423153396; 829215327; 841395950; -1; 509629863; 831169096; 319359010; 828220767; -1; -1; 903899684; 835357210; 171929872; -1; 309667713; 920090648; 695813444; 255475533; 767025716; -1; 484686339; -1; 923528812; -1; -1; -1; 90772033; 481050558; 466637642; 589674050; 598972808; 660598532; 99041311; 914535681; 554555983; -1; -1; 72011308; 868049756; 67515452; 545297651; -1; -1; 102546899; 877933335; 810607419; 20680734; 323325353; -1; -1; 163041024; 192884986; 858167223; 696647359; 475279008; 637010664; 676691805; 12019995; 150791818; 897912087; -1; 838015807; 230309353; 263958179; 678800273; 888528287; 702885115; -1; -1; 827984151; 778343820; 328789560; 354945179; 784040295; 880727128; 367989204; 550591952; 401176421; 387059350; 577583177; 115584953; 957236637; -1; -1; 829481052; 796555410; 148946028; 587940769; -1; 783878381; 925795820; 662337445; 401298438; -1; 910458957; -1; -1; 724598460; -1; -1; -1; -1; -1; -1; -1; 199630373; 377457567; 981518255; -1; 999190568; -1; 446708867; 311518851; 406053203; 948404690; 30925296; -1; -1; -1; 849602756; -1; 667787022; 34375274; -1; -1; -1; -1; 411590279; -1; -1; -1; -1; 908469084; 548187514; 513456819; 788650801; 849259056; 327456471; 270279221; 472355179; 861429321; 563854148; -1; -1; 72642277; 928087084; 867851280; 284945208; 422298119; 731929793; 43464985; 745151366; -1; 351182327; -1; 146202941; 25974603; 921403701; 561733440; 897828703; -1; 613768312; 189619239; 316028608; 254779137; -1; 288368383; 115270040; -1; -1; 663995884; -1; 528971391; -1; 294051568; 80076272; -1; 483471793; 950320458; -1; 93117926; -1; 470787464; 832903490; 241922267; -1; 46577749; 550831530; 678357009; 726273040; 717818647; -1; 338518254; 229490737; 615683324; -1; 309468298; -1; 587374888; 541526173; -1; 1944700; 666871222; -1; -1; -1; 653799831; -1; -1; 771699241; 929930508; 785966133; -1; 760404984; 776851877; 454286398; -1; 273759092; -1; -1; 151552066; 125119400; 983392356; 305664056; -1; 783715515; 23590021; 379578781; 840699795; 848317165; 582654135; 428527709; 875847717; -1; -1; -1; 580900496; 529699177; -1; 402257521; 174469512; 212790948; 65767724; 153195490; 302356512; 361002031; -1; 912183390; 765770490; 271052169; 826948293; 434585798; 17512607; -1; 573606181; 580601980; 413103296; 914865897; 896900503; 566445128; -1; -1; 664587976; 710439415; 538287720; 519655363; 599196819; 124622913; -1; 653198727; 937315633; 378439652; 572086856; 777873650; 953769829; 204656868; -1; 318539253; 634120040; -1; 853319915; -1; -1; 77516734; -1; -1; -1; 526319403; 118449102; -1; 242161692; 921513837; 663325857; 898618819; -1; 868175121; 207505273; -1; -1; -1; 234242693; 991862317; 548112503; -1; 823244981; -1; -1; -1; 934925278; 117773204; -1; 54136918; -1; -1; -1; -1; 66089272; 357779418; 274424919; 153224298; 452425213; 119694172; 169708750; 982349498; 97329593; -1; 155130370; 429859982; 436676941; -1; 8219018; 809293218; 286414209; -1; 360148729; 547550143; -1; 558013698; -1; -1; 456953248; -1; -1; -1; 39039297; 309404350; 632594164; -1; -1; 112302192; -1; 897541251; 542183324; 869745763; -1; 656237912; 178790306; -1; 342735045; 731290798; 434202312; 661246272; 274390762; 447186726; 221447386; -1; 466556896; 432925733; 307576644; 995268245; 744179699; 30113890; -1; -1; 322207162; -1; -1; 465445034; 233069398; 935219909; 955076027; -1; 543299363; -1; 295810653; -1; -1; 864389167; -1; 261355247; 259044575; -1; 337623136; -1; 868967809; 843011770; 998304484; 961322896; 145695702; -1; -1; 643502761; 291583265; -1; 198070162; 896178547; 806111436; 118043685; 521442325; 104967300; 892652709; 43076483; -1; -1; 225297837; 948428968; -1; 622127285; 390435716; 814412689; 341362818; 43796880; 109462886; -1; -1; 700532368; 564220496; -1; 519120264; -1; 185510736; 869476977; 327387112; 711210251; 839334796; 869956065; 937926500; -1; 927637510; 221155494; -1; 216687835; -1; -1; 228157447; 558599435; 363843548; 193220308; -1; -1; 426399092; 749849179; 85105244; 336584988; -1; 735281711; -1; 765362834; 405743131; 900135829; 129594467; 62177429; 13224731; 602401516; 383391751; 157080987; -1; 499096916; 620838970; 346473360; 169828804; 123609201; -1; 980499060; 969182768; 435537756; -1; -1; 3419582; 853235965; 387656013; 949219664; 780543565; -1; 953513803; -1; 714863258; 733977459; -1; -1; 686565006; -1; -1; 740640062; 684481274; 255181158; 1626765; -1; 947269419; 929937437; 192140754; 375907069; 790050149; -1; -1; -1; 933505208; 875490140; 921398022; -1; 348858366; -1; -1; -1; -1; 393833433; -1; -1; -1; 278108726; -1; -1; 195346502; 274252418; 946269632; 767130082; 437648531; 339112628; 81932660; 580316429; -1; 561198313; -1; -1; 488009194; 74592961; 302113299; 924494757; 904188190; 226569834; -1; 887506470; 75333955; 2124555; 988176290; 841746453; 696649052; -1; 535877270; 647145281; -1; 288594224; -1; -1; 293192277; -1; -1; -1; 658682634; 113240864; -1; 227530828; -1; 57940745; -1; 302179768; 706492841; 626107857; 357106546; 728301227; -1; 537107114; -1; 915176453; 994186339; -1; 575236720; -1; -1; -1; -1; -1; 582313220; 325359774; 695441637; -1; 43153497; -1; 806799595; 286933232; -1; 264280048; 759329264; -1; -1; 319135621; 260288598; 676134782; 576299030; 807090401; -1; 675761053; 472181960; -1; 418992415; 926954596; 648334608; 725249125; -1; 198318469; 841199681; 197908078; 400710429; 794102350; 629897184; 216614068; -1; 453945600; 68158350; -1; 207653221; 330041052; -1; 9874214; -1; 863005722; 73657439; 142006863; 72336394; 68222576; -1; 920243368; 684532364; 640408144; -1; -1; 38607183; -1; 309131690; -1; 474066900; -1; -1; -1; 2001526; 915900032; 573193811; 576403300; 711267740; 190535903; 845494679; 406107268; 587636559; 8632045; 206552595; -1; -1; 984483114; 686121965; 801427384; -1; 806095573; 688917894; 626147478; -1; 866957998; 688778309; 796188166; 57220344; 339227340; 150827211; 782004351; 765393061; -1; -1; 432481270; -1; -1; 342532816; 256672866; 108872829; 273504566; -1; 56396020; 585706194; 896349045; 434147924; -1; 314860184; 706145904; 583792031; 132209422; -1; -1; -1; 443889534; -1; 336148259; -1; -1; 486160944; -1; 860572196; 582821121; 188869197; 451793503; 103294633; 796129101; -1; 556045725; 489758648; 980980517; -1; 758709063; 296256683; 290434598; 863267259; 881358226; 949210177; -1; 73297090; 980665628; 217440969; -1; 561877933; 137690815; 750277969; 79568134; 156475149; 233565346; 243896029; 578697280; 134127916; 146910984; 381837183; -1; 227177208; -1; 770089840; 894702999; -1; 605253771; 862250388; -1; 147770131; 58635894; 748886886; 515564601; -1; 514703451; 388237816; 674470868; 229298960; 877293964; -1; 832421307; 458205174; -1; -1; 434961402; 100768700; 795195153; -1; 564442725; -1; 855352742; -1; 915576792; 795739271; -1; 654490633; 29598102; 864450641; 769621111; -1; 345096926; -1; 730321807; 609589267; -1; 873549335; -1; 794069404; -1; 743502891; -1; 629339907; 649833485; 264605742; -1; -1; -1; 221159425; 299388315; -1; -1; 297974755; 526987052; -1; 749194509; -1; -1; 574532688; 258032484; -1; 966395603; 88922295; 30728593; 799123578; -1; 933450989; -1; 771969517; 365712381; 897241649; 47730390; 800993267; 506353327; 839479794; 748326825; 667652544; -1; -1; 253377635; 274988263; 534521650; 899055536; -1; -1; 107083401; 254523660; 656923518; 607117231; -1; 112835649; 534331545; 872585376; 591835610; 541947178; -1; -1; -1; 749759797; 843597889; 672418996; -1; 835859763; 670044541; 848474024; -1; -1; -1; 45478861; -1; 143094737; 535515951; 804747680; 606338505; -1; -1; 571305059; 929165383; -1; -1; 231686693; 993621603; 979110137; -1; -1; -1; -1; 489105411; 25228816; -1; -1; 244605640; -1; 596937690; 840057258; 140171591; 470296864; 956261851; 148966395; 59026436; 521862813; 832273465; 335651955; 762969275; 11239601; 718218470; 834735938; -1; 225367712; 602399507; 256363828; 258032992; 62459401; 599811289; 838039746; 783513661; 515583736; 139785953; 882097349; 534851139; 605808703; -1; 734974510; -1; 567352933; -1; -1; 667529467; -1; 659351398; 196728864; 600882490; 15119112; 218638329; -1; -1; -1; 704259146; 964639835; 166761955; 50195283; -1; 7839207; 393286035; 808061908; -1; 998913720; -1; -1; 301667758; 773594467; 37568957; 421560810; 79712746; 242969174; -1; -1; 585256447; 105725420; 661872709; 605755133; 593870195; 508660386; 366564898; 268707566; 986060097; 262682364; 678086931; 974006364; -1; 867202754; -1; 748891329; 439894529; -1; 513047652; 512201758; 947014003; 368559405; 212186367; 559668206; 231802604; 619530168; -1; 418067400; 86481497; -1; 976373014; -1; -1; 23637354; 985210269; -1; 638988171; 94607779; 738168241; -1; 912392771; -1; 496851486; 215192471; 880641670; -1; 768210549; 290318209; 788990257; 321195488; -1; -1; -1; 86067780; -1; 281955653; 383364074; 272295580; 157788931; 907856232; 144219204; 188081428; -1; 164612474; 73493213; 248822006; -1; 675555559; 360995544; -1; 895314071; -1; -1; -1; -1; 274124551; 926767667; 92808602; -1; -1; -1; -1; -1; 447714581; 169477013; 277744133; 223103566; 610129183; 230464692; -1; -1; -1; 132933647; 847256478; -1; 931328105; 404084528; -1; -1; -1; 362129768; -1; -1; -1; -1; 958595313; 864445644; -1; 529398116; 222908336; -1; 234312759; -1; 957821921; 351228120; -1; 557059105; -1; 167313085; 156609111; -1; 995343632; 602291912; -1; 435325943; 677731232; -1; -1; 384239516; 592815856; 772367762; 850137328; 243618955; 808112510; -1; 655131622; 210285414; -1; -1; 225675480; 90835731; 508641685; 385726987; -1; -1; 206818958; 845673275; 231616207; 649530274; 864074922; -1; 390882128; -1; 175347951; 482539175; -1; 576070841; 282493279; 821723655; 903769368; 317087015; -1; 323538322; 857203595; 416947093; -1; 483925237; 237337240; 164181936; -1; -1; 904071781; 8302121; -1; -1; 958653566; 573461982; -1; 22376057; 212493576; -1; 25331639; 461557291; -1; 159263291; 761813953; -1; 933744731; 406893454; 757925900; 278368199; 104695650; 524671173; -1; -1; -1; 905094963; -1; 360479902; 192492610; 913885253; -1; 515418219; 659919394; -1; 416133619; 378476177; 796173912; -1; 201531075; -1; 71924720; -1; 58863638; 293726896; 230111674; 497202763; 659413868; -1; 853739736; 891236509; 754204643; 156422965; -1; -1; 343075202; -1; 571616692; 344665582; 510192924; 618298435; 163406564; -1; 618301073; 791682676; 232601252; -1; -1; 181954915; 798536093; 814536577; -1; 745804382; -1; -1; -1; 389870070; 294347519; 828528394; 210371042; -1; 921099438; -1; -1; 375886874; 164112662; 418341586; 667879713; 754738388; 1517879; 349169336; -1; 653969968; 707085334; 306737527; 368733912; 124071397; 321058202; -1; -1; 577557843; -1; 333177763; -1; 754109729; -1; 638927970; 909141790; 224851807; 634475437; 960386106; 674734684; 602322200; -1; 439682122; 14633224; -1; -1; 941703241; 752915352; -1; -1; 573323689; -1; 901600428; 874910474; 699704568; 899830842; 856065340; -1; 1603582; 377775953; -1; 432224296; 154619424; -1; 937876656; 118939666; 434548458; 930833838; -1; -1; 262723330; -1; -1; 548369393; -1; 217707256; 847204216; -1; 76142435; 792482113; -1; -1; 6737662; 243617915; 774283397; 827833782; 38711761; 944239952; 957805541; 596428521; 86030091; 314267339; 916259878; 459324831; 145930308; 668603355; 158434070; 928090529; -1; 508854874; 831210702; 496461504; 8472276; -1; 96757937; 381747889; -1; -1; -1; 693716456; 844548152; 854035032; 899834010; 14847350; 814295784; -1; 325356661; 496210010; 34471136; 47220237; 768640073; 648876634; 681335249; 788132938; 96863002; 161629696; 163826512; 147434395; 457197508; -1; 996814783; 336942987; -1; -1; 548926406; 145130413; 538092025; -1; 197382660; 825510933; 833132724; 78227612; -1; -1; -1; 519659666; 157929036; -1; -1; 516008289; 711917382; 120378009; 486070883; -1; 197202102; 800600829; 609429508; 862136299; 830637512; 164739433; -1; 41692842; 86735731; 843953714; 573857347; 710414982; -1; 978348387; 974474828; 834383170; 516272682; 993254666; 532569322; 563955317; -1; -1; 860350170; -1; 877283009; -1; -1; 110197318; -1; 149680011; -1; -1; 296774006; -1; 18736404; 922406744; 143860579; 355254902; -1; 225948267; -1; -1; 943287249; 501395049; 183378576; 258815067; -1; -1; 259610552; 798208864; 415598792; -1; 422782854; -1; 202055902; 421715740; 647468233; 86203122; -1; 873793120; 996770063; 402332962; 210829650; 497087691; 42731304; 255774119; -1; -1; 779661406; -1; 380423387; 533816649; 422943983; 462912682; 870741242; 408331124; -1; -1; 559633283; 597719027; 271932818; -1; 778014040; -1; 950791257; 450885120; 132141654; 931490802; 735322250; 471228106; 832136734; 381695025; 445014795; 735364308; 726571357; 318608622; 852975704; -1; 324960260; 865237561; -1; 2681265; -1; -1; 165365920; 197847621; 195819908; 863206985; -1; 203317866; 95408458; -1; -1; 479056773; -1; 711408896; 369902823; 573437998; 817295162; 243283708; 575370666; 711839447; -1; -1; 943747742; -1; 543359784; 262494233; -1; 677550105; 633119039; 664065304; 16461004; 525932132; 196817680; 864347130; 263769676; 305370579; 314201730; -1; 843472974; 984454198; 688989209; 914818837; -1; 774432030; 540118136; 66241644; -1; 479334526; -1; -1; -1; -1; -1; -1; 156478127; 275276202; -1; 415825035; -1; -1; 516737711; 534534138; 228914203; 750814797; 153139850; -1; 63988607; -1; -1; 946340650; 750669189; -1; -1; 530744371; 511433444; -1; 836985184; -1; -1; 149747854; 436187626; 145167451; 24422313; 713898430; -1; 427951772; 477599372; 573521724; 838579085; 667692125; 250177765; 234525799; 731892038; 46570010; 417763620; -1; 825621963; 381724147; 371434561; 835262479; -1; 69175405; -1; -1; 910926432; 797592541; 51455186; 414130514; 925756314; 200572913; -1; 489138816; -1; -1; 668378312; 964711191; 609642108; 447340752; 234957776; -1; -1; 534830846; 493022297; 306256650; 106276351; 36093141; -1; 713916487; 374020199; -1; 462668278; -1; 649464567; 436748149; -1; 358629490; 528885870; 635623322; -1; 995016250; 553380175; 214042117; 548886383; 284326879; -1; -1; -1; 980121168; 190627083; 880797473; 916256838; 609776101; -1; 898580882; 826401141; 640792262; 885915388; 878181956; -1; -1; 711385555; 627792840; -1; 404881128; -1; 585975048; 207607443; 999566556; 512307348; 748621772; 782171541; 367901356; 81298734; 13296792; 84350868; 271074697; 311298379; -1; 558119488; 552879082; -1; 622823659; -1; -1; 727194373; -1; 331212129; 855848378; -1; 844257703; 597865006; -1; -1; 818633181; -1; 133128366; 93749617; 551983648; -1; 221556000; 817289196; 304669551; -1; 668263999; 390916357; 775169964; -1; 935926167; 564024751; 250624448; 551453123; 131111978; -1; 346431253; -1; 122216032; 500948527; -1; -1; 342923422; 675301753; -1; 248523381; 429932456; -1; 84487964; 344362754; 839552943; 311955052; -1; 835678910; -1; 451806237; 933834105; -1; 890648270; 398218495; 336033863; 661381253; 112313736; 97113076; 594136292; 789347250; 695748669; 407910031; -1; -1; 903037366; -1; 951604730; 260670145; 151600867; 889014197; 461861817; 123604691; 853224277; 288630271; 33881161; -1; 536585101; 614470057; 370835298; 456312257; 842715399; 824709296; 109716024; -1; 440800235; 766340537; 200119713; 214974916; -1; 772833134; 966279732; -1; -1; -1; -1; -1; 627555704; -1; 98278231; -1; 998708101; 771032097; 132306562; -1; 860122584; 727601619; 690417567; 371504996; -1; 145404819; 515297493; -1; 906814280; 288205647; 471406213; -1; 870460673; 699987600; 878469490; 4099143; 2510235; 827053686; 688493755; 251175023; 127660971; 704000028; 70985244; -1; 788154179; 569304546; 604385959; 878240623; 777813541; 335811366; -1; 466768618; 81266650; 653280820; 474200106; 227733148; 799471283; 115982581; -1; 688443565; -1; 949900454; 76665457; 191255846; -1; 807981463; 738412185; 747518642; 805593114; 18928919; 167282938; 731129456; -1; 579566053; -1; 761459148; 191835344; 535641520; 888336469; 933081163; 815569268; -1; 427603140; 52516843; 832149853; 286753267; -1; 807967876; 348306602; 991912279; 8622846; -1; 856729655; -1; 952095010; 694124958; 208857507; 359738041; 51922906; 53569922; -1; 271193601; 788365051; 670740139; 809368096; -1; 47967111; 546903621; 921944430; -1; 537504640; -1; -1; 637445247; 361125384; 834497474; -1; 440893467; 264715932; -1; -1; 391124110; -1; 282588148; -1; 128230913; 385429965; 276182530; -1; 13313752; -1; 888463991; 515584; 899222939; 274651428; 21618620; 564161018; -1; 542162891; 243133361; 354723541; 4028943; -1; 126532807; 9814161; 460008503; 888677142; 283348738; 32049223; -1; 739837370; -1; 573382180; 749518996; 703506557; 503947614; 872995512; -1; -1; 177088237; 909952675; -1; -1; -1; -1; 932651298; 368510783; 123517462; 880254210; 655221316; -1; -1; -1; 75627998; 536195530; 743416402; -1; 182747872; -1; 180405982; 736248278; 4758505; 530943431; 560448133; 380062882; -1; -1; 914325771; -1; 164610817; 707115945; 350817706; 499152470; 45628206; 592380137; -1; 264016900; 438100803; -1; 489860210; 808966584; 77959680; -1; 591733774; 337940292; 414594033; 591085450; 812841724; 928249937; -1; 579327980; 130742727; 722321596; -1; -1; -1; 398150496; 278644078; -1; 294908845; -1; 933380394; -1; 765900866; -1; 979182398; 789086382; 329261544; -1; 450771238; 292163516; -1; 443451056; -1; 864739240; 416954800; 109018185; 874330738; 658886528; 564494819; 645447598; 715932312; 194863158; 912422951; 609027518; 699072945; 306101945; -1; 242347821; 311037073; 277116657; 616907292; -1; -1; 488114557; 104358731; 207370260; 325116171; 386155614; -1; 952362919; 366538159; 24285742; 894711218; 624810114; 684926489; -1; -1; 307570569; 913427258; -1; 34661697; 849577851; 337398382; 110739439; 442293850; 951050564; 277684187; 981589097; -1; 906887362; -1; 178564389; 402971698; 413831731; -1; 735847823; 821122098; 808276314; 747429706; -1; -1; 703730660; 481689660; -1; 998013224; 155728807; -1; -1; 349061349; -1; -1; 764299918; -1; 93979533; -1; 175601612; 500634090; 629011692; -1; 863421545; 414630682; -1; 751676103; 395919585; 727055296; 154806475; 188712342; 687057550; -1; -1; 540938306; -1; -1; -1; 345480312; -1; -1; 111378329; 170390773; 953219371; -1; 608672605; 660596222; 181352068; 935670005; 755067335; 590010845; 200389547; 155374824; 425648610; 117717631; -1; 420486015; -1; 733813231; 109605462; 899740076; 429420565; -1; 168167726; 343424889; -1; 434535860; 640142947; 423042375; 671408307; 653860099; 320622220; 324154522; 552569828; 221858932; 35959274; -1; 514660178; -1; 120262694; -1; 810398812; 193793351; -1; 173257526; 496108603; -1; 712476400; 924159617; -1; 163316660; 877221207; 121088038; 19711836; 638289660; 780268186; 645776996; -1; 250026477; -1; 243344308; -1; -1; 157775435; 358803348; 765903067; 309551004; 331752855; 668254161; 739159988; -1; 545789254; 395930120; -1; 626075503; 129984335; -1; 65100146; 609782279; 74911216; 376562308; 809818201; -1; 203413554; 120441223; 576805366; -1; 202039997; 556828374; 338321956; -1; 309671008; 276713169; 483456040; -1; 298976495; -1; -1; -1; -1; 429977366; 646835077; -1; 705604715; 987952323; -1; 513451562; -1; 959935730; 434435397; 887600089; 531405503; -1; -1; -1; -1; 634010133; 460855525; 299310495; -1; 233642259; 661388132; 140508716; 96987745; 924441476; 474797979; 954766745; -1; 818418760; 159645903; -1; -1; 502799971; 791167528; -1; 986733785; 451220111; 574524536; -1; -1; 617995213; 349714962; -1; 609967745; 17541418; -1; 432733709; 523743617; 761755629; -1; -1; -1; 132647859; -1; -1; -1; 693886206; -1; -1; -1; -1; 646314139; 282588161; -1; 80790458; -1; -1; 721614999; 942171363; 588962362; 909343201; 488923164; -1; 366318960; 9950225; 25548546; 462235950; 850116693; 303345779; 888553781; 717596760; -1; -1; 668642904; 538293632; -1; -1; 817830982; 422368764; -1; 609205269; -1; 373744402; 631598479; 394574542; 641926671; 106180745; 844695916; -1; -1; 460676584; 615303573; -1; -1; -1; -1; 678129233; -1; 247700307; 75905677; 411963448; -1; 160955186; 87985243; -1; -1; -1; -1; 886343639; -1; -1; 618069717; -1; 746095410; -1; 637975300; 41432208; 408664259; -1; 158166168; -1; 498120227; 562886154; -1; -1; 611448424; 868681584; 402557809; -1; -1; -1; 940803169; 925298665; 990383807; -1; 733066156; -1; -1; 550571985; -1; 744700017; -1; -1; -1; 973247421; 376787569; -1; 977400042; 461620448; 255271610; -1; 942018584; 314973050; -1; 893740694; 879424655; 990394960; 480111639; 828788333; 593612698; 311807317; 278763043; -1; 584980355; 924650465; -1; -1; 703658885; 796251865; 458887730; 781752781; 620175833; -1; 453077778; 178054349; 392304863; 43685193; 158322719; 462365347; 403705304; 554715031; -1; 972329553; 117982960; -1; -1; -1; -1; 214424118; 726658819; -1; -1; 183669062; -1; -1; 382781817; -1; 398952953; 851769586; 134946923; -1; 620060454; 538991459; -1; 926622528; 282115877; 265452312; -1; 430596789; 546351044; 776098362; -1; 883752592; 888847833; -1; -1; 99218206; -1; -1; 270544843; 145913688; -1; 714326743; 795682805; 763018964; 146112325; 582274671; -1; -1; 315060696; 819491620; 84849940; 73564674; 513052746; -1; 885233975; 258736151; 392930862; 126062314; 685008473; -1; -1; 650221461; 828010418; 1615168; 574480649; 814951114; -1; 993911507; 668657633; -1; 340941436; -1; 202297558; 902818735; 380559696; 354415133; 611123185; -1; -1; -1; 709213810; 897883280; 469819928; 496752412; 666846796; 968740744; 138253466; -1; 605835584; 716384419; -1; -1; 521084485; 633240278; 231162616; 309663628; -1; 524143292; -1; 735318526; 85172000; 542141378; 330621828; 202794687; 785466699; -1; 749007989; 589465001; 691896831; 26227211; -1; -1; -1; -1; -1; -1; 312921713; 599655042; 597464203; -1; 845343775; 798622490; -1; -1; -1; 646904000; -1; -1; 597407251; -1; -1; -1; 645351172; 406290529; 945998168; -1; 315239879; 793796411; 651457309; 436566944; 599029751; 230417452; 234571837; 114269620; -1; 815204584; 690678274; 49778260; 910904605; 629259312; -1; -1; -1; -1; 835804840; 639750972; 591660818; 551481574; 750686751; 919033030; 235098323; 379522342; -1; 122760658; -1; 476999114; -1; 944998068; 642875648; -1; 543904496; -1; 555326077; 159124490; 665227308; -1; 579009868; 581339373; -1; 889046357; -1; 558541683; -1; 126653496; 377324033; -1; 248375338; -1; 567114454; 414680149; 549666910; 580978931; 207546293; -1; -1; -1; -1; 871557486; -1; 960174614; 26499549; 430880950; 675603099; 457989492; -1; 858407015; 731563299; 136327199; 869986459; 808854588; 625091156; 692402502; 953574871; -1; 322833218; 384932931; -1; 151780235; -1; -1; 319786580; 344834749; -1; 709340920; 993616483; 755933799; 58594419; 711793196; 823333752; 118226169; -1; -1; 712840253; 988334134; 557487400; 780896564; -1; 456293246; -1; 463796481; 690293842; 996650257; 978884750; -1; 816415566; 845083441; 926858849; -1; 597764181; 38204238; -1; 350593418; 607314027; 382750857; 581230250; 133682580; 386044594; 103423902; 872765810; 224761574; 81134920; 472720629; 739160237; 841071684; 928026168; 321214656; 410339560; -1; 150463883; 429797719; -1; 905654589; 715317130; 568870500; 486917916; 929334718; 468379008; 525980983; -1; 219894501; 619512343; 438506344; 792290870; -1; 734837996; -1; 85314857; 942442015; 849172617; -1; 213543609; 897795704; 771683419; 59504566; 351701973; -1; -1; 942682942; -1; 977999925; 811482199; 911273068; 347726180; -1; 639906265; 129513713; -1; 740274834; -1; 966513102; 593277227; 448791827; 928921052; 972486718; 109590426; 625804345; 544884960; 537449502; 336805133; -1; 610961258; -1; 175098507; 634414766; 959370562; 935711646; 684602339; 856090358; 667327630; 721087776; -1; 622553143; 958232762; 938308216; 486894811; 988125834; 703560334; 621291467; 184421088; 190116556; -1; 801686767; 237182876; 163680348; 172053720; 248988389; 738889475; 75758839; 304392113; 114136880; -1; 321902192; 933241652; -1; 760921337; -1; 100439563; 152988038; 460665882; 267554953; -1; 940910388; 161473332; -1; 281201728; 733368169; 403108008; 55549183; 912108422; -1; 429928101; -1; 557518597; -1; 430510947; -1; 441096974; 367649809; 540128493; 339795696; 270282757; 741564446; -1; -1; -1; 598940261; 554923182; 399498973; 419429004; -1; 587317160; 960184685; 104064127; 713472344; -1; 16652749; 452423232; 766680250; -1; -1; 205409683; 379864306; 190860456; 547797360; -1; 756994852; 776721455; -1; 675083508; 675304062; 228193164; 289942766; 824910355; -1; -1; 483082401; 277174843; 908739525; -1; 519576143; -1; 168739982; 517399243; -1; -1; 373900753; 467286822; 875746347; 430922887; -1; 749884791; 772654221; 894004025; 219891305; 144647973; 886512630; 577376402; -1; 995407304; -1; 591819630; -1; -1; -1; 617143421; 159410089; 532807356; 931450774; 55461711; 234491995; 284282487; -1; -1; 475926904; 605721459; 825444410; -1; 619438461; 196524848; 307970121; 649443442; -1; -1; 124345569; 544383960; -1; -1; -1; 467943445; 941824238; -1; 656652403; -1; 171102075; 493957553; 674872586; 686861986; 264375086; 862338137; -1; 650991550; 377869159; -1; 893814196; 538881687; 521658622; 751206444; 635500893; 115152349; -1; -1; -1; 170149994; -1; 322370394; -1; 522730925; 335276673; 136493881; 869926046; 527313361; 564069343; 564718654; 754959393; 832827044; 788527904; -1; 199294425; -1; 246554067; -1; -1; -1; 74808352; -1; 424799589; -1; 556932269; -1; -1; 736216781; 553298697; 477862456; -1; 889544443; 467345834; 385246617; 2115358; 657456427; 749508515; 405733232; 392858150; 204652065; 941501950; 104194898; 780773621; 823632380; 900644518; 502904776; 864642345; 854107773; 778128266; -1; 248584764; 143344750; 89085337; -1; 454357029; -1; -1; 682073148; 987030024; -1; 314527393; -1; 266926840; 850072984; -1; 14297756; 690715742; -1; 743739129; -1; 323469172; 975504398; 163672220; -1; 142827705; 718605147; 768989951; 944907687; -1; 317649175; -1; 368708723; 989361295; -1; 91367855; 405119328; 797364705; 307403825; 144400078; 289748316; -1; 998923075; 150558160; -1; 157045997; -1; 450810098; 146473377; 451630267; 324814499; 854143287; -1; 329010188; 198505320; 826059785; -1; 444018666; -1; 740749040; -1; -1; -1; -1; -1; 89302109; -1; 851627751; 224305892; 582935458; 976113519; 813883328; 831334324; -1; 264979142; -1; 560168742; -1; -1; -1; 580734633; -1; -1; 576547982; 100699024; 963729988; 493436193; 777552780; -1; -1; 391052562; 34750969; -1; 722773513; 176280178; -1; 528323652; -1; -1; 565128390; 25885260; -1; 329931503; 542567590; 200934839; 361213864; 195375843; -1; -1; 284445788; 568779059; 931631118; 476730935; 934477032; 171451593; -1; 117606275; -1; 667958484; -1; -1; 546133705; 905560394; -1; 646621497; 205341559; 926883396; 302381392; 72367287; 841084923; 535410747; 154663394; 35168741; -1; 415348148; 28225185; 251284467; 609884560; 766350483; 150404417; 424766454; 411519707; 672223788; 328077543; 140613822; 897777553; 583948935; 703775593; 977369972; -1; 245893124; -1; -1; 807652303; 352879824; 279841747; 285863857; -1; 462043549; -1; -1; 462721915; -1; -1; 460625976; 766826326; 759563640; -1; 611011989; -1; 950785227; 988689773; 914275993; 805216940; -1; 598094940; 766409074; 930632513; -1; -1; 26032602; -1; 423593379; 28051718; 944936287; -1; 742785143; 83359500; 717079553; 925355362; 966171892; 49449737; 595354806; 235569771; 238618059; 812824932; 448437357; -1; 970474497; 875517446; -1; -1; -1; -1; 667257294; 889654224; -1; -1; 799091793; 820282367; 117794746; -1; -1; 632001786; -1; -1; 993654994; 545246333; -1; -1; 786371890; 287420020; -1; 83827866; 256900244; 451674484; 391979111; 842133414; -1; -1; 628128887; 122169202; 754012017; 621478201; -1; 993492823; 274739926; 357028176; -1; 304773474; -1; 858593106; -1; -1; 519276040; 468989089; 892424259; -1; 127225148; -1; 673723720; 565790158; -1; 576943750; 684998657; 171066128; 366318197; 506941886; 326967300; 589138698; -1; 215101799; -1; 417437399; -1; 507693767; 254563000; 954281283; 118525213; -1; 29495607; -1; 954251433; -1; 948818664; 615595670; 290493891; 569019706; 764557204; 655439854; 295986338; -1; 623273680; 484477726; 839692413; 404662519; -1; -1; 808302399; 664254955; 703415975; 924921485; -1; 276403477; 383754404; -1; -1; 392923891; -1; 340008066; 625967380; 918833416; 944511632; -1; 524057379; 397947835; 83096158; 895417106; 615552120; -1; 820883896; -1; -1; -1; 381827887; 69647163; -1; 446690342; 761844560; 908473118; 406727693; 931559393; 24438301; 756708818; -1; 998568564; -1; -1; 740713089; 2408372; 586125792; 411961192; 953532003; -1; 958906352; 865580161; -1; 492808018; -1; 103305668; 371597015; -1; 79429026; 131869439; -1; 731922652; 270419205; 479224199; 172371967; -1; 38061660; -1; 795802833; -1; 990845959; -1; -1; 4738062; 369063191; -1; -1; 536224069; 958775333; -1; 131561501; 414891772; 265707346; 285621126; 343935220; 63248423; -1; 315058371; 764550367; -1; -1; 490599048; 965415632; 104402131; 337791750; -1; -1; -1; 956212024; 89142285; -1; 113778031; 285906789; -1; 560566216; -1; 599183911; 68779136; 856183216; 965740304; 770577252; 715411149; 65811276; 100048549; 201982933; 56419792; -1; 107626861; 843548382; 5038424; 955252348; -1; -1; 213967943; 750015379; -1; -1; 114067155; -1; 819501262; -1; -1; 908601570; -1; -1; 50788156; 803686330; 143311059; -1; 273106511; 266836058; 329847966; 652539902; 254570920; 124443706; 869167706; 369926027; 668609942; 35054497; 394881172; 387062926; 586186697; 17373176; 575599700; 962689325; 737524633; -1; 340986968; -1; 642868490; 468325950; 208287910; -1; -1; 998199350; -1; -1; 473625989; 619909179; 755561822; 421064593; 880165067; 815877836; 351752004; 452620831; 437798689; 575088748; 1538005; -1; -1; 160349644; 482749301; -1; 675457444; -1; -1; -1; -1; 872020487; 434799861; 49486357; -1; -1; 355773458; -1; 578646716; -1; 958609791; 691174085; 401408138; 545414611; -1; 802122807; -1; 729144876; 835042810; -1; 336100587; 516731112; 118081905; -1; 595247368; -1; 345991814; 411414223; -1; -1; -1; 412886662; -1; 846408097; 881121692; 343508599; 824528755; 363161075; -1; 343694230; 19818006; 149244765; 71085360; 612065587; 303620971; -1; -1; 39126471; 477559260; -1; -1; 308756193; -1; 369091450; 599012211; -1; 816135069; 746762415; -1; -1; 681541409; 977008633; -1; 975816547; -1; 474846711; -1; 988565708; 764157997; 902036605; 73944927; -1; 944838882; 844408274; 743467015; -1; -1; 161550034; 613189547; 895810104; 845677490; 464916404; -1; 174796262; 527408287; -1; 936490156; 574538081; 132099243; -1; -1; 994201059; -1; -1; -1; -1; 845267719; 170166459; -1; 162069427; 298886962; -1; 561025957; -1; 541207224; 38416038; 466790072; 265072491; 343555145; -1; 515273863; 301213130; 509559431; 904857885; 889136079; 984452569; 758822536; 864974471; 377276916; 239056365; 596715011; -1; -1; 222550023; 73879187; -1; 381648863; 176219184; 433003498; -1; 157295366; -1; 855813398; 119156967; 844891787; 848446517; 885282288; -1; 128369021; -1; 344864657; -1; -1; 969777017; -1; 462702859; -1; 228885766; 151114467; -1; 800562349; 73772366; 737773235; 157297731; 69123491; -1; 298136394; 900922007; 108875496; 614502767; 849784096; 989977657; 670211181; 485237693; 465177890; -1; 141053531; -1; 9794525; 999169025; 400208606; 442338857; 460484016; -1; 12995998; 625667183; 101084467; 572012400; 648281023; 124848371; 868728700; 136678360; -1; 423924584; 510292288; 39773525; 369081748; 521272525; 561484389; 446427075; 467460832; -1; -1; 553095170; -1; 383693011; -1; 648476582; 121250775; -1; -1; -1; 529524900; -1; -1; 17025609; -1; -1; -1; 390405276; -1; -1; 894524916; -1; 391286538; -1; 906810696; -1; 6608730; 150177500; 134673855; 99184467; 164068218; 161365593; 407924461; -1; 520294291; 409012722; 663198081; 544126011; 933662435; 178425867; 868738515; 770515954; 646836721; 37619591; 575939306; -1; -1; 209681958; 355702876; 746520155; 177644908; 934542070; -1; 191960163; 350191076; 229858137; 271885247; 946177252; 987243908; -1; -1; -1; -1; -1; 97600560; 361619894; -1; 532993900; 763109229; 464947014; 247339401; -1; 144147317; 781064538; -1; -1; -1; 350905677; 955960591; 502108140; -1; 711236358; 553762536; 10384803; 773116026; 844923909; 773338344; 847010667; 423673782; -1; 848400510; 957603508; 342391242; 893967086; 134257393; -1; 593886794; -1; 765760322; 304287368; -1; -1; -1; 33547201; 473645534; 806742974; -1; 897400606; 894902037; -1; 71473093; 40053461; 680478300; 260403767; 132876405; 374716077; 272351626; -1; 807539519; 73631220; 490303652; 757759964; 546776517; 552346312; 689614226; 964672835; -1; 156300655; 615255274; 212319865; 365391135; -1; -1; -1; -1; -1; -1; -1; 933290815; 294754593; -1; 984696614; 718494368; -1; 521871446; 912973119; 91955604; 570151608; -1; 475941123; 304521666; 633346694; 59030621; 627449289; 252413283; 119107304; -1; 6453783; 458369458; 267801782; 946024465; 766284586; 31866072; -1; 44052360; 498210401; 655509911; 518591327; -1; 446686426; 462434964; -1; 566065687; 84229217; 544142079; -1; 63000526; 720052365; 662797639; 361305166; 285645485; 702601216; -1; 264324832; 565251410; -1; 879076163; 151469550; -1; 275593036; -1; 290339954; 407955655; 786858175; 843174877; -1; -1; 906672112; -1; 583079771; 899484587; -1; -1; 142841339; 60913218; -1; 85786891; 529168693; 418619031; 172881552; -1; 838964914; 75958058; -1; 761919550; -1; 964233906; 475818765; 94785014; 400316873; -1; 634880194; -1; 162038619; 908284587; 859911859; 553492630; 32152259; 938935825; -1; -1; 570675827; 435443284; -1; 55571; 975459253; 670314277; -1; -1; 715664652; 32962639; 697033802; 384186444; 875238028; 72818795; 391371406; 886207678; 660460741; 944212952; 583749222; 380592538; -1; 144370632; -1; -1; 744830232; 239293801; -1; -1; -1; 659227419; 408354688; 468101440; -1; 615555372; 948890047; -1; 304226354; 653172412; -1; 77240289; 125944134; 888435216; -1; 644159538; 293181877; 614919799; 969938821; 773365154; 195069904; 551170516; 619622040; 370147715; -1; -1; -1; 884951639; 400164186; 466560583; -1; 954092324; 387581072; 799957588; -1; 308153044; 136127400; -1; 572993900; 616806665; 481441482; -1; -1; -1; -1; 457337581; -1; -1; -1; -1; 582099198; -1; -1; 804644599; 492388955; 785103639; 5799282; 108082434; -1; 823632550; -1; 974668539; 706370308; -1; -1; 653749729; 313169966; -1; 975478131; 937124238; 862114071; 742924306; 682193926; 125740424; -1; -1; -1; 311630869; -1; 747010473; 5930185; -1; 67311583; -1; -1; 421796349; 293137986; 853959595; -1; 92094141; 417264341; -1; -1; 61212921; 896791220; 432040601; -1; 120294477; 976522754; 581681312; -1; -1; 657423356; 495616415; 866240364; 304762551; -1; -1; -1; 440314612; 538920558; 195145054; 280870156; -1; 929099933; 293066221; 469973618; 507942514; 754247743; 10802264; 803065771; -1; 356127023; -1; -1; 407628464; -1; 402308275; 591975962; -1; -1; 651396857; 366735914; 303134616; 856463083; -1; -1; 630503768; -1; -1; -1; 503651206; -1; 517796703; 726422936; 197701468; 559996374; 988974572; 484245125; 292330231; 982042569; 732110254; 773919265; 565652855; 846959617; 603853156; -1; 538057241; -1; 635096702; -1; 643655207; 130648972; -1; -1; 678608698; 426205441; 682194739; 660696410; -1; 547450983; 740522609; 21025713; 788646297; 755179442; -1; -1; 405958002; 841633912; 397339470; 887258545; 11643682; -1; 22818157; 344043485; 31025883; 957601260; -1; -1; 767881828; -1; 452880472; 922607644; -1; 402527105; -1; 396496658; -1; 33532431; 910167369; 973232984; -1; -1; 589809329; 394334953; 739144135; 386772212; -1; 470008369; -1; 362782520; 651950821; 179323838; 215920411; 959966929; 972979740; 801655992; -1; 937569737; 675014056; 855811706; 932100840; 860006142; 853846965; 608681065; 609144807; 68543889; 324281478; 466996910; 757766239; 301312625; 659366974; 581685859; -1; -1; -1; 433180313; 999865800; 636122493; -1; 29274774; 267286597; 951131248; 995436248; -1; -1; 38237750; 424435216; 160249117; 390812721; 348601520; -1; 72782963; 633195492; 941947185; 708963488; 824525094; 942564516; -1; -1; -1; 89547341; -1; 719700627; 819218159; 57920573; 645829963; 797059168; 491310979; 824446774; 294085650; 866715554; -1; -1; -1; -1; -1; 860836203; 858708208; 999646625; 932836006; -1; -1; -1; 735002499; -1; 589145096; 943691456; 71444383; 353844155; 522062900; 124828503; 580019748; 635512361; -1; -1; 605465814; 584594656; 395525404; 314649225; 157415867; 812693968; 791072236; 228173432; 540692439; 834394972; -1; 889825613; 91341524; 59885126; 910196696; 671439202; 933688834; -1; -1; -1; 732266052; 450950137; 388059741; 241460862; -1; -1; 14196291; -1; -1; 587990932; 934726436; -1; 797890327; 201665080; 2992597; 671207999; 948846072; -1; 630175687; 585307805; 466542055; 130332204; -1; 919823524; 448849707; -1; 536000738; 666376642; -1; 512667116; -1; 459751150; 845341340; -1; 9511848; -1; 808168824; 394466858; 479500573; -1; 524472812; 868494643; 627065029; 28869594; 224789146; -1; 306693000; 115180018; -1; 415648718; 191435677; -1; 330647852; 951111052; -1; -1; 563783086; 16464730; 906464317; 491329632; -1; -1; 925565038; -1; -1; 802977559; -1; 410494804; -1; 143453016; 739808439; 973532877; 560695207; 398781999; 443430103; -1; 507794609; -1; 714700708; -1; 638654083; -1; -1; -1; 969772969; 91226208; 710809953; -1; -1; 313469493; 840536516; 372010674; 532269674; 934649053; 338279999; 986641597; 403458152; -1; 688896117; 131165662; 572400091; -1; -1; 861607702; 683543036; 437606946; -1; -1; -1; 452943380; 453407870; 462972339; -1; 243895628; -1; 995918658; -1; -1; -1; -1; 727301462; 196480064; -1; -1; -1; -1; 248511802; -1; 733396971; 80313644; -1; -1; -1; 431689213; 299370122; 827718257; 97729821; 896037096; 453325662; -1; 496213456; -1; -1; 335925840; -1; 933182055; 463848714; 590279845; -1; 526713708; -1; 258055188; -1; 539878245; 24473842; 976288017; 192808763; -1; 249567305; 405662354; 560409807; -1; -1; 916204209; 303612875; 497973494; -1; 252192569; 71404192; 647429226; 783716934; 242784433; 242992037; 272417376; -1; 527846466; 762412603; -1; -1; 835320260; -1; 348309551; 358840374; 52353072; 129103849; -1; -1; -1; -1; 38629974; 306048544; 602041866; 983394430; 472813016; 69271509; -1; 569722341; -1; -1; 96868615; 398604019; -1; -1; 609247018; 50918765; 173894258; -1; 858732975; 523383563; 768498263; -1; 42067498; 308121582; 700280651; 469920009; 298304271; -1; 302020591; 47185517; 109792890; 225348926; 885680543; 732306922; -1; -1; 502856260; 798305416; 649572631; -1; 199095071; 881899850; -1; 631274116; 74649681; -1; 742275691; 62597501; 129327337; -1; 371531870; 861426965; 155490532; -1; 385802888; -1; 1438856; 334448437; 557948465; 625845202; -1; 994644599; -1; 324376952; -1; 365734744; -1; -1; 392441275; 671014630; 418922508; -1; -1; 208469973; -1; 587702738; 702786981; -1; 426197553; 963226527; 296064276; 4510251; 317368125; -1; 870512582; 663448005; 563579451; 702714215; 474206154; 562685303; -1; 475969892; -1; 334888423; 598749984; 146123902; -1; -1; 23814245; 575420932; 708267465; -1; 851855290; 669706912; 952456878; -1; 973795613; 614085773; -1; -1; -1; 5603070; 486385361; 655909156; 104495439; 955055533; 345776740; -1; -1; 796370998; 414392562; 436104084; 641098199; 591398125; 274167083; 334087247; 822105658; 576298799; -1; 738623626; -1; 60321676; 820854768; 169446435; 922865559; 888497875; -1; 92316989; -1; 546095138; 367347851; 50180596; 790850766; 560425149; 389046804; -1; 157390123; -1; 65227231; 254782392; 566425724; 140268370; 398969424; 215651123; 596599096; 583224835; -1; 6518884; 615020386; 792618577; 357362035; -1; 62502628; 454916414; 561196034; 763537972; 413281200; -1; 406980225; -1; 768746882; 339268942; 249170417; -1; 391388141; 903842546; 615200577; -1; -1; 535176112; 324653492; 435691453; -1; 78470034; -1; -1; 837901850; 829796547; 837373020; -1; 463879558; 455360313; 343105837; 631180159; 280056812; -1; 357848966; 575642060; 741703364; 930386530; -1; -1; 651143284; 713425649; 822113225; -1; 829836585; -1; 584907051; 435562997; -1; 163004672; 960385343; 110452248; 650585075; -1; 959770056; 291406565; 58078498; 165864514; 967224138; -1; 305435942; 668702309; 107082814; 405529097; 224497454; 384679271; 190341447; 833024742; 712240079; 386722224; 688515509; 510738557; 117281205; 563628737; 171404251; 174782549; -1; 706426384; 971183354; 726156015; -1; -1; 734597981; 111398732; -1; -1; -1; 356828592; 143686194; 588430976; -1; 867577864; 869606548; 182925550; 695921442; 267811524; -1; 128729047; 722312595; -1; 503728773; 775785065; 67649165; 143295539; -1; 494871600; 443551247; 296038680; 907818311; 537540738; -1; 172005904; 850449652; -1; 290546216; 573724601; -1; -1; 383641017; 660389071; 391767828; 102235445; -1; 334019812; 872986697; 393378789; 584794545; 37190779; -1; 209527858; 347352687; 569740304; 447005436; -1; 513943784; 402874888; 595183640; 855614183; 958941209; 550850573; 810042136; 451068694; 10014739; 260452634; 320765035; 609603984; 72527534; -1; -1; 388845345; 642057255; 216598276; 21637767; 387051475; 476804034; 976837648; 133603985; -1; -1; -1; -1; -1; -1; -1; -1; 486309458; -1; -1; 181873666; 749562370; 344405732; 819635694; -1; -1; -1; 740572742; 541304147; 904444618; 613760985; -1; 397928339; 880744251; -1; -1; 267573703; 706120301; 873674808; 958697586; 431533288; 423802308; 625219643; 205925521; 944345553; 444710044; -1; -1; -1; 20088282; -1; -1; -1; -1; -1; 248786549; 588906168; 349686504; 343898468; -1; 84388960; 417918369; 189690828; 176165736; -1; 116130019; 254294705; 482476171; -1; -1; -1; -1; -1; 104224638; 349138747; 981408932; -1; 910484928; 471514192; 887085320; -1; -1; -1; 279350958; 640850990; 815023711; -1; 153439420; -1; -1; 748044620; 919611448; 270473982; 673030867; 889093330; -1; -1; 934732113; 850013190; 47098254; -1; 571917552; 555094537; 542951546; 933690176; 562564666; -1; 554928431; 47410401; 159109202; -1; 780995163; 370411488; 661311780; -1; 281104198; -1; -1; 691423718; 344533644; -1; 406752634; 405940188; -1; 611873980; 492329456; 73702341; -1; 308714486; -1; 9148887; 807479552; -1; 133250456; 315045020; 826071319; 200083298; 307760018; -1; -1; -1; 721857049; 327943864; 139839715; 306008557; 498285570; 308120140; 220042477; -1; 233213362; 945707492; -1; -1; 436989057; -1; 5291610; 415564879; 891661872; 38323182; 731667199; -1; -1; 201775687; 927595979; -1; -1; 184347970; 502450759; 76980283; -1; 928545254; 8687732; 10126575; -1; -1; 282666465; -1; -1; 418322877; 6278355; 790788415; -1; -1; 815860492; 685230156; 852407218; 79106553; 290341128; 764589834; -1; 925729326; 760381847; 273919073; 862054633; 921758938; -1; 203436392; -1; 866787448; 799496541; 739182028; 508639205; 600529158; -1; -1; 286340687; -1; 393561385; 262435007; 606336186; -1; 70896248; 93126619; 930383023; 358868079; 104260177; -1; -1; 91363539; 645398373; -1; -1; 200726954; -1; -1; 943178845; -1; -1; -1; -1; 260260500; 65012817; -1; 986897608; 830541414; -1; 257184834; -1; 272757638; 332067001; 744087604; -1; 610760292; -1; -1; -1; -1; 978762264; -1; -1; 254786707; -1; -1; 886589341; 128980064; 858091589; 32607088; -1; 394403413; -1; 256131333; 278694143; 676301107; 963366897; -1; 937096386; -1; 105980042; 585040176; 919624228; 675235726; 154006222; -1; 818311188; -1; 345791812; 223504488; 825875260; 498610613; 924067707; 60641639; -1; -1; 196483865; -1; -1; -1; 773530582; 148301813; 426570552; -1; 359675009; 694370526; 994269857; -1; -1; 145641543; -1; -1; -1; 356011773; 437975008; 195486492; 531892761; 328935424; -1; 796013387; 937166442; 651672430; 812536184; -1; 763233068; 252937769; -1; 42371614; 372177934; -1; -1; -1; -1; -1; 412245591; 47485859; 544529715; -1; 25333166; 759628073; -1; -1; 678518185; 180762270; -1; -1; 196980529; 83629633; 383690060; 172013627; 357978029; 838946472; -1; -1; 200601619; -1; -1; 158497016; 670405992; 645820094; 192174504; 427015566; 256515268; -1; 224330384; 770460407; 500753686; 982063265; -1; 111123158; 408662203; 991363472; 695709475; 700393805; 654356951; -1; 509978125; -1; 787064155; 363163955; 728341072; 821581638; 972634283; -1; 407979053; 746963844; 678822976; 672509231; -1; 858019337; -1; 525865532; 235216313; -1; -1; 14440021; 838024140; 866245431; -1; -1; 728839298; 416876444; -1; 300311632; 147202225; 420700861; -1; 902658247; -1; 707035330; 266951341; 251516446; 570246184; 404769106; -1; -1; -1; 325092994; -1; -1; -1; -1; 129559117; 15213935; -1; 361209334; 22068587; 133863676; 536173543; -1; 815134066; -1; 881515485; 329495054; 529818461; 126194332; 218397434; 772136390; 132955984; -1; 674704717; 188464731; -1; 503959058; 432626897; -1; 947262646; -1; 949079265; 617082933; -1; -1; 815893661; 889404712; 846095580; 321062428; 489163350; 688786382; 177115197; 278584230; -1; 589753781; -1; -1; 605385447; 4515718; 972821055; 202984096; 319433926; 244958953; -1; 257031452; 411275638; -1; 583868726; -1; 358409833; 704508644; -1; 233828454; 887111352; 53081951; 888625703; -1; 630049204; 814869790; 191386166; 850215781; 227997468; 401159570; 388758001; -1; 503698404; 512437606; -1; 762472660; 217687972; 91911533; 209322788; 361699013; -1; 592356757; 973414811; 740560660; 743837257; 998294462; 543319207; 489162449; 565260158; 572399818; -1; -1; -1; 21951704; -1; 800680901; 536069924; -1; -1; 769087056; 449597494; 119955957; -1; 311978195; 485215987; 846662370; 568922162; 163096888; 477459765; 768639037; 711267647; 734295782; -1; -1; -1; 404120491; -1; 851200333; 2039109; 386430266; 660951396; 626769669; -1; 698592428; 31206609; -1; 419240368; 996748371; 549548505; -1; -1; 6753084; 372447936; -1; 985931339; -1; 556610279; 749957927; 61855386; -1; 418583146; 413230935; -1; 952298593; 353162730; 174496792; 563179179; 48520007; -1; -1; -1; 749072982; 170562339; 257586772; 855442989; -1; 345134827; 923569349; 884408356; 800426111; 957758006; 878471570; -1; 442673159; 34698151; 541179317; 50159602; 721316823; 557785446; -1; 177714306; 358936702; 938822717; -1; -1; 828622537; -1; -1; -1; 107563133; 429059315; 157563794; 905668321; 434938419; 152340346; 619435901; 914675047; 260404694; 732566575; 16275568; -1; 120674781; 884933119; 41725866; 734151966; 370740731; 730150370; 480754794; 353781570; 43181125; -1; 593157172; 418424472; 96344894; 575259808; -1; 482260109; -1; 379156198; 537205226; 241211319; 805620702; 869798610; 624865822; 50179902; -1; -1; -1; -1; -1; 661291942; 730072391; 621613807; 415736634; 402878376; 979666619; -1; -1; 727387335; 169374851; 662219998; 562878787; 792970517; 22571308; -1; 145195951; -1; 260540396; 285183354; 665890876; 445716326; 420683847; -1; -1; 768613193; 163864396; 148122537; -1; 376568321; 509496604; 336182280; -1; 915582364; 650403297; 669058438; -1; 160598499; 645912140; 93288554; 659295230; 618385095; 993452918; 256633007; 420830198; 997193636; -1; 107439423; -1; -1; 278878917; -1; 771683939; 158835313; 643197079; 875723398; -1; 713685527; 597857196; -1; 945985291; -1; 466514990; -1; 773277960; 960041387; 955511130; 984238967; 807814979; 975644575; 711983833; 60190139; -1; 853539722; 934789658; -1; 680594183; 589525696; 845270334; 947836552; 69775208; 124098962; 831030393; -1; 180059612; -1; 908737104; -1; -1; 329546531; -1; -1; -1; 99961749; 703407935; 132376658; -1; -1; -1; 302908165; -1; 107922151; 564215314; -1; -1; 616136193; 992187391; -1; -1; 999899286; 278141104; -1; -1; 402728954; 107661563; -1; 794977195; 154632364; -1; 559659955; 805293861; -1; 81589031; 219314703; 746585626; 183825730; 867020135; 49025421; 548796093; -1; -1; 384935112; -1; 345526793; 956448041; 5702791; 519702442; 711156305; 732620756; 553007280; 13000278; -1; 936101033; -1; 156035668; 477893751; -1; 869618708; -1; 56964007; 315009071; 730115765; 581583813; 323805020; 409915931; -1; -1; 87127025; -1; 517968432; 35855663; 132466249; 115035404; -1; 379159479; 808641564; 399765344; 125536559; 15291154; -1; 770407810; 516874418; 570379276; 102301690; 954417881; 851265603; 67174704; 552663582; 112603884; -1; -1; -1; 28113489; 785314761; 47746501; -1; -1; 724097795; 669285081; 758204673; -1; 206536938; -1; -1; -1; 497307009; 833964088; 341471337; 803970954; 318398830; 234445560; 339387994; 185726897; 40568008; -1; -1; 492777965; 164049590; 134059662; 949681130; 873402532; 136854757; -1; 573945001; -1; 58561727; 952904442; 818128995; 405952424; 3954512; 55836141; 137612540; 198068539; 982899901; 905364306; 554928784; 748847834; -1; 612723421; -1; 975223468; 937271301; 123927310; 520711605; 51942213; 452615939; 396987169; 661845214; -1; -1; -1; 45369244; -1; 845284094; 702900404; 871514532; 983442520; 466108871; -1; 696110536; -1; 136798194; 678023570; 944843785; 22604721; 581783450; -1; 857650690; 888279370; 253537043; 566663959; 948922840; 292532423; 799800138; 371607839; -1; 726208357; -1; -1; 73987974; 159438833; 92765751; -1; 788963583; -1; 61007205; 65644155; 804208944; 149406070; 410667949; 336572105; -1; 267344169; 972424842; 138173321; 852462897; 901519072; 764182996; 557544; -1; 980633250; 284424062; 732412958; -1; 112492808; 242566680; 500220879; 870726679; 986357428; 812774770; -1; 736290226; 205784943; -1; 391862806; 83670521; 760073226; 444742605; 59206839; 750254205; 972485024; 372238777; -1; 316704131; 105564959; -1; 84665694; 249166425; 148715765; -1; 16314614; 415241288; 280586727; 996088869; 713960438; 127136934; 171667910; 69771945; 389812416; -1; 584646390; 569990128; 104466930; 179197238; 866563467; 539775488; -1; 660325143; 50310383; -1; -1; 866844648; 604593010; 155571276; -1; -1; 587433539; -1; 129123986; 242776351; 860365316; 731341055; -1; 937629458; 777285878; -1; -1; 782029330; 188988623; 877349161; 917375270; -1; -1; 130738780; -1; -1; 703050112; 736231994; 966589250; 912714627; 432721831; 963483007; -1; -1; -1; 341619882; 112690982; 994162335; -1; -1; 749320186; 935747073; 321890888; -1; 169808424; 24726679; 779250877; 157036851; -1; 72137264; 721570234; -1; 796598731; -1; 656558969; 461407956; 267949866; -1; 150036736; 759847237; 921925763; 263167537; 518973093; 877634294; -1; 754536663; 37485560; 757774049; -1; 111688471; -1; 48089926; -1; 823815431; 974572683; 431704105; -1; 262113754; 489287188; 257015038; 904909315; 674048379; 231577943; 627171627; 365570453; -1; 489998028; -1; 958495786; -1; 837784600; 264982259; -1; 972582233; 692052712; 31919273; 808527616; -1; 359709117; 475437385; -1; 79000516; 84471309; -1; 120219667; 28623712; 576272640; -1; -1; 850543559; 613477680; 161345499; 899656238; -1; 761536507; 386505285; -1; 646018514; 214806701; 410866163; 918783977; 800855899; -1; -1; 121129691; -1; 648594554; 876672312; -1; 5219514; 51154625; 444013513; 888155537; -1; 363853437; 176525186; -1; -1; -1; 629583867; -1; 728717887; 370724723; 406942773; 65588738; -1; 79243759; -1; 227588861; -1; -1; 68172069; 219086429; -1; 840146257; 469273383; -1; 851596228; 424023394; -1; 147385422; -1; 597180334; 456508676; 786415557; 304363190; 634797149; 611454388; 391446736; 29001837; 645282469; 891018066; -1; 181044909; -1; -1; 458011813; 291283726; 304126885; 580565368; -1; 969585403; -1; 137244988; 348859390; 960435896; 897620149; 630108916; -1; -1; 375019117; -1; -1; 102885980; -1; 696266997; 616683536; -1; -1; -1; 714102819; -1; -1; 883443302; 496309687; 554267984; 737650970; 607232050; 784097967; 226625533; 516112255; 341580815; 350086639; 506056263; 266372940; -1; -1; 264539745; 312374633; -1; -1; 743197200; 898191189; 402673945; 823690285; 700553706; -1; 625013037; 461384131; -1; 125484958; -1; -1; -1; 422779923; -1; -1; 815888508; 119975523; -1; 220239098; 309463304; -1; 879530935; 296411022; -1; 425215518; -1; -1; 594679971; 400278624; 964646314; -1; 430899575; 530458870; -1; 960256301; 112605492; 665488230; 455049335; 669169954; 793056337; 486617984; 534881067; 814910582; 421857888; 232402075; 199668453; -1; 735378048; -1; 712339611; 36722522; 525278770; 505519281; 683644744; -1; 72952853; 91587431; 981580364; 913377533; -1; 551989529; 305428467; -1; 161093416; -1; 157773194; 567286957; 767446457; 459360634; 815184592; 533060417; -1; 208461378; -1; -1; 672463311; 985157683; 253915298; 54253819; -1; 618208460; 617719085; 364471146; -1; 181690551; 619001379; 385612432; -1; 384427019; 341806922; 927773559; 724271119; 711058822; -1; 238084100; -1; -1; -1; 360758486; -1; 132390864; -1; 964829700; 852200291; -1; -1; 236247969; -1; -1; 726286298; -1; 792291939; -1; 471539054; 340280731; 280855635; -1; 1799118; 199312761; 723966911; 29090477; 353364578; 15530086; 546199901; 343362440; 238839812; 703470291; 31396782; -1; 856886705; 763631739; -1; 902840641; 455441185; 861490515; 672411096; 584331257; 55625840; 945510780; -1; 170272103; -1; 913470211; -1; 633828777; -1; -1; -1; 967713215; 105843965; -1; 864939588; 316961783; -1; 130251076; 978942976; 77104224; 615324184; 647403872; -1; 148211190; 724917918; -1; 500315302; 170022105; -1; 941390724; -1; -1; 954453402; -1; -1; 101228503; 317176428; 299460782; 70470068; 673834247; 658463079; 740528503; 101328936; -1; -1; -1; 135985674; 963393356; 994819389; 512869932; 971745186; 835385814; 11962477; -1; 570326862; -1; 274672297; -1; 440492226; 599347800; -1; 134305638; 289690434; 26686300; -1; 549660667; -1; -1; 900810864; 996627338; -1; 255696238; 726784735; -1; -1; 969391051; 44535065; -1; -1; 707262653; 981232219; 135239616; 25056992; 79399676; 64312535; 897457370; 886893439; 705977494; 561741135; -1; 410068562; 618549819; 706666836; -1; -1; 602854827; 744462941; 341601561; -1; 756098435; 358450133; -1; 504200837; -1; -1; -1; 724604045; 992321243; 472530674; 67465686; 670523808; 157757339; 432111475; -1; 608447607; -1; 983794032; 652605401; 979285100; 47637237; 510652472; 202617528; 792107323; 43162746; -1; 585114681; -1; -1; -1; 775476953; 19666624; 750117163; 34137164; -1; 678661660; -1; 523423624; -1; 429351829; -1; 783531418; 417906251; -1; 545055750; 993293026; 540515385; 58751508; -1; 523424266; 395725056; -1; 505988998; 604992122; -1; -1; -1; -1; 469945255; 881783349; 187599527; 408247640; 667734548; 98248591; 189480880; 897856445; -1; 996907216; 727693572; -1; 812526446; 973193825; 860850645; 327002385; 157609586; 553576148; 620963800; 780536069; -1; -1; 191405958; 821074540; -1; -1; 182368073; -1; 247834258; -1; 316401300; 519976577; 88596638; -1; 536900414; 530835521; 828123790; 165540652; -1; -1; 724049861; 675271834; 390876290; -1; -1; 876441859; 901970555; -1; -1; 504231647; 977271519; -1; -1; 401925715; 87743585; 178018065; 595280751; 24493228; 230246442; 402659372; 580355602; -1; 551858653; 55176809; 876354906; 56688750; 816840179; 720462453; 535927389; -1; 989771231; 145991879; 129390098; 540111044; 229276374; 69066543; 522343772; 82730883; -1; 383391156; 811314885; 669618488; 117258930; 452822648; -1; 178958940; -1; 987549752; 840109442; -1; 642833267; 571592978; 461057460; 685894757; -1; 567888391; 655769725; 789018579; 164552122; 62648067; 167433226; 355485507; -1; 403429830; -1; 409509915; 320427347; 275885757; 379699199; 395196116; 939825593; 732681858; 467550708; -1; 681506886; 739872817; 201009186; 219181206; 970832289; 293694328; 507728102; -1; -1; 883355982; -1; 260672336; 365771733; 38591573; 167321741; 166134801; -1; 892776604; 585636739; -1; 687442736; 368301850; -1; -1; -1; 692658676; -1; 3413450; 680166384; 285389588; 120674218; 356013634; 799759387; -1; -1; 373553109; -1; 825289066; -1; 819982117; 547251053; -1; -1; 714199209; 842203140; 905370965; 340273391; 530518300; 103856123; 818123507; -1; 969295106; 246344661; 875723132; -1; 27157440; 929712140; -1; -1; 540802164; 485025889; 7542955; 614830570; 772011297; 307775073; 653635600; 720001537; -1; 698383938; 420104979; 670780441; 575145214; 22973290; -1; -1; 846460197; 814845871; -1; 33255365; 435827639; -1; 901239195; 669091874; 918946046; -1; 382692318; 791875366; 451358202; 6858967; 729656960; 748492932; 177747845; 452747682; -1; -1; -1; -1; 76404727; -1; 681783558; 170020443; 196834673; -1; -1; 461830084; 50656236; 573539497; 367767202; 504111136; 560697215; 349280344; 457090811; -1; -1; -1; 113660718; 756214666; 658599641; 618524012; 84841786; 81472739; -1; 483182920; 310319423; 91030084; 442016115; 510944826; -1; 120135455; 581927266; 948458800; -1; 402409365; 94687680; -1; 970443678; 969895509; 505309801; 537244826; 934852010; 118914357; 940834779; -1; 833969969; -1; 800808673; 798213620; 859729571; 60752739; 719882457; -1; 839142610; 929041342; 413435952; 849935744; -1; -1; -1; 778994217; 697404947; 368683489; -1; 94717297; -1; 235452672; -1; 452808016; -1; 607792757; 23629874; -1; 445253839; 521884583; -1; 357216378; 918701522; 947083779; 584920081; 913964810; -1; 798876518; -1; -1; -1; 670394620; 180935513; 23398793; 840898407; 703706412; 689588933; 316602831; 245780964; -1; 116522652; 883838684; 567785958; 776053097; -1; 533167674; -1; -1; -1; -1; 247349847; 393135327; -1; -1; 422303542; 849514649; -1; 70260157; 127824081; 211513082; 98065140; 158079692; 161623924; 58209611; 81887873; 327705841; 64304531; 907337012; 128046507; -1; 575023689; -1; -1; -1; -1; 937623243; -1; -1; -1; 193247786; -1; 386061687; -1; -1; -1; 241486917; 838223161; -1; 365332069; 777118206; 35445875; 57452369; 486687309; -1; -1; -1; 811260709; 203308177; 345151644; 437009586; -1; 518264054; 921930056; -1; 765558212; 82454130; 814164764; 317348735; 169843716; -1; -1; 54091380; -1; 486783001; 983165850; -1; 638808614; -1; 474901892; -1; 334324030; 620382041; -1; 828479486; -1; -1; -1; 884065226; 384246623; 592144228; 630489797; -1; 390735298; -1; 761551844; 643645048; -1; 243605775; -1; 976848792; 852102800; 845315435; 909925164; 200465571; 212448925; 790017376; 300211869; 608490957; 520146264; 969921206; 901457481; -1; 177970799; -1; 994769462; 628926056; 947943296; 934142647; 267244138; 287474502; 966886085; 392705103; 787684712; 659622530; 899724847; 90801155; -1; 414941371; -1; -1; 437123160; -1; -1; 742011113; 303986509; -1; 519157260; -1; -1; 877265905; -1; 220871094; 352808950; -1; 870115653; 899278850; 933279306; 547886574; 475669273; 321123473; -1; 687371610; 807349252; -1; 621978218; -1; -1; 640160533; 473110088; -1; 612338545; 467525862; -1; 787297535; -1; -1; 22227773; 358834040; -1; 340019655; 782397792; 710826101; 351794599; -1; 938226725; 38629868; -1; 685491656; 72423897; -1; 91697307; 952732299; -1; 728825807; 984057637; -1; 717357766; 592070208; -1; 562492363; -1; -1; 947208631; 939529794; 210750999; -1; 649831121; 222467229; -1; 99864067; 561378152; 179338043; 175390289; 495190361; 864610693; 4606283; -1; 520578775; 647887243; 441659846; 985821286; 702396601; 803847348; -1; 529015147; 382253543; -1; -1; 516704737; 579293838; 318500886; 301596245; 336184371; -1; 639734966; 655386597; -1; 404207224; -1; 690069030; 225956001; 842282064; -1; 334404990; 938939264; 209522964; 367799056; -1; 412810175; 690806569; -1; 164474177; 673222301; 129583269; 502917463; -1; -1; 981030054; 59609196; 171673823; 977778541; -1; 166414148; 261636548; -1; 733273585; -1; -1; -1; 482928583; 327841417; -1; 577874200; 369603283; -1; -1; 423267881; -1; 740216766; 371909098; -1; 178170385; 478398555; -1; -1; 900732349; 91403058; -1; 233676838; -1; 144076181; -1; -1; 955894467; -1; 721445310; 216327520; 597986771; 370645862; 612727117; 656829665; 619641127; 852112648; 924000056; -1; 204614200; -1; 773565930; 417954353; 223416082; -1; 188371603; 480479243; -1; 980742017; 723164285; 126421338; 645133494; -1; 432135054; 846442593; 152111315; -1; 845229339; 145501129; -1; 121052239; 38542486; 222248662; -1; 967012993; -1; -1; 52015479; -1; 282591272; -1; -1; 789290154; 164572692; 187568032; 403464482; -1; -1; 538161092; 235487661; -1; 876404828; 64454408; 508248930; 941029189; 835018402; 79000771; 718895335; -1; -1; -1; -1; -1; 369576371; 97489942; 204681355; 735826464; -1; -1; 780520205; 21959836; 491700051; 190670769; -1; -1; 448286764; 535568478; 929106449; -1; -1; 496416604; 865836221; 407529097; -1; 552800803; -1; -1; -1; 706604881; 666245405; 976661854; 758853357; 204195515; 406622329; 13315121; -1; 577866978; -1; 431727560; 172155459; -1; 939299017; -1; 25721746; 162243878; -1; -1; 500452531; -1; 954828254; -1; -1; -1; -1; -1; 927589300; -1; 430331775; 636447707; 162241553; -1; 553329738; 541241877; 613768237; 349113772; -1; 159284798; 717341975; 913240606; -1; 36643214; 274845334; 649375441; 590930934; 509123866; 858161444; 766746485; -1; 484958209; -1; 339464752; -1; 929840311; 273221358; 206746291; -1; 344165285; 47135508; 633880849; 503310492; -1; 316638852; 408823727; 713823041; 574319176; -1; -1; 278093976; -1; 912673245; 378810497; -1; 150879188; 293446419; 682878892; 135604052; 696538200; 467984473; -1; -1; -1; 284557469; -1; -1; 11893320; 479023841; 435221030; 877345876; 485023253; 157278251; -1; 296785816; -1; -1; 239054236; 214836167; 272356553; 797966616; -1; 350428387; 950822178; 650420903; 923810565; 176395963; 415338542; 191178397; 875154445; 342101909; -1; 92512293; -1; 743489968; -1; 637490176; 696534211; 708629599; 251161842; -1; 195541636; 369025817; 972003915; -1; 888902881; 413302194; 795121879; -1; 506175526; 905289864; 429301453; 23239989; -1; 636273075; 45794098; 50154416; 94741733; 278428157; 450130320; 632192003; 623754334; 915556740; -1; 648833436; 113514918; 173535166; 823021835; 203657070; 90974544; 479298859; 914833036; -1; -1; -1; 143223642; -1; 510673092; -1; 307853367; 131425133; 166412574; 838228399; 257318204; 500879225; 633261201; -1; -1; 450154730; -1; 670186641; -1; 397326233; -1; 899103186; 876692929; -1; 96668412; -1; 48412331; 390105622; 689389746; 37570804; -1; 245265222; -1; 14637901; 825326688; -1; -1; -1; 974609261; -1; 958368127; -1; 307190696; -1; 155326519; 469384648; -1; -1; 960860313; -1; 368186897; -1; 489701001; 512673540; 470908631; 774851433; -1; 818907608; 75129936; -1; 449822951; 647645930; 372432467; 315014894; -1; -1; 563455769; -1; 746113529; 201202921; 906222120; -1; 860123387; 348994748; -1; -1; 564071014; -1; 471936522; 935716218; 409571030; -1; 904637486; 1930729; -1; 377594966; 87324731; 473111865; -1; 755016529; 901393923; 500987949; 713484847; 753526093; 319396549; 503996403; 765671398; 623136690; 539455451; 105348220; -1; 158850324; 559443698; -1; -1; 695776211; 985371375; 699301560; 266987943; 438219130; 573168203; -1; 38192980; 877041226; 909295297; 128646076; 745529247; 388721170; 467618154; -1; 736349988; 131655060; 553434045; -1; 997584640; -1; 822429674; 234061527; 599992138; 864420770; 546256280; 75093020; 239551683; -1; 255197387; 829643601; -1; 36067933; 913606565; 637785751; 999622740; 323826874; 893221801; -1; -1; -1; 479768897; 788108762; 311230427; -1; 188248666; 495432580; -1; 171658374; 216095961; -1; -1; 956226842; 503172031; 631910377; 413152513; -1; -1; 291770281; 776502783; 541832809; 53333103; 727353783; -1; 961245446; -1; 553979706; 57646080; 817547456; -1; 762304990; 722085747; 853242559; -1; -1; -1; -1; 612939310; 757545177; -1; 172607877; 600328548; 816757213; 734055958; 525903880; 66261039; -1; 185995570; 842614264; 338524590; -1; -1; 759199331; 938287767; 481865433; 60570021; -1; 538387983; -1; -1; 12554046; -1; 593839435; 828167524; 226023415; -1; 192852403; 376315585; 549826725; -1; 218322851; -1; 193846896; 736441991; 164020269; -1; -1; 199712754; 491397717; 8754104; 112534432; 907506445; 772058689; 15414931; 71536470; 521515286; 596501982; -1; -1; -1; 636625735; -1; 995133316; 687312147; 616168195; -1; 765538629; 231085635; 563635165; -1; 3953072; 827335774; -1; 117483628; -1; -1; 340279716; 981649478; -1; 489521584; 695606952; 206856356; -1; 289064807; 921997389; -1; 19339899; 245275751; -1; 217184360; 524194984; -1; 318969503; -1; 911342905; -1; -1; 759257750; 792504234; 418097935; 640659212; 575374908; 454645736; 700211384; 757923963; 538751230; 762795384; 188796011; 245654915; 653014166; 595719802; 307910051; 340978462; -1; 532434177; 789910516; 630521154; -1; 137987317; 565583405; 351922942; -1; -1; 999545024; 875617749; 333466573; 240543738; -1; -1; 713727520; 279148933; 527240179; 86419977; 661145298; 236461223; 440532879; -1; 352566171; 372163876; 127076064; -1; 30792697; 902666501; 607438294; 546814520; -1; 337021849; 64177775; 106565760; 292365169; 52471657; 558094358; -1; 27826742; 766535407; 908519923; -1; 857252123; 181968012; 693323176; 135042192; 68986039; -1; 534238764; 363870132; -1; 892826590; 61346209; 623117786; 276636667; 857529996; -1; 931855313; 729598540; 890909056; -1; -1; -1; 36773060; 466506828; 133501008; -1; -1; -1; 329433955; -1; -1; 962823469; 57151580; 622935154; 702348220; -1; 82564762; -1; 786549499; -1; 605924842; 136479372; 451918539; 320258017; -1; -1; 928922889; 468857953; 294279155; -1; -1; -1; 643547201; 761110140; 439777520; 674255669; 895384627; 413703645; 279947034; 156645285; 188500933; 276681839; 986460113; -1; 603919147; -1; 644401701; 347108347; -1; -1; 480507874; -1; 804763749; -1; 547462977; 858857063; 637407119; -1; 295313301; 46964656; -1; 96674647; 452574120; 813310915; -1; 154519699; -1; -1; 192923111; -1; 402420045; 701695328; 940056499; 186395938; -1; -1; 883062812; -1; 1725901; 729720748; 904256943; -1; -1; -1; 456050016; 906434179; 858059398; -1; -1; 788025944; 890087177; 728550626; 83196239; 637340858; 653546360; 795643425; 682883542; -1; -1; -1; -1; 189939005; 749892444; 303179289; -1; 760486741; -1; 477658846; 879858480; -1; 404481290; 816043688; 959087554; 819283583; 240159231; 836538141; 254628961; 421416407; 962443330; 28408580; 645463501; -1; 646020344; 760561204; -1; 979211595; -1; 197847248; 669081350; -1; 478321082; -1; 85684007; 979247880; 292002322; -1; -1; 477371329; -1; 654870922; -1; -1; 169707133; 761865155; -1; 11979333; 775039576; 221964675; 879855425; 347957699; 332107489; 689612353; 244478363; 260915697; 461459518; 124611614; 332264291; 824251155; 280103779; 401852119; -1; -1; -1; 787751236; -1; 561141627; 337452439; 853760764; 696694711; 326323247; 791990445; -1; 240262563; 347783537; -1; 634901250; 258916751; 487093316; 629746557; 578618582; 227298362; 882952621; 533496470; 124076009; -1; -1; -1; -1; 889198898; 922677486; -1; 320674795; 326684948; 826864800; 234029439; 621193659; -1; 744142230; 121282634; 784607506; 590021273; -1; 360586282; 766078749; 408269363; 766314506; 828003064; -1; -1; 674424824; -1; 654745614; 506514128; 520543631; 279073904; -1; 125486076; 446466898; -1; -1; 468613788; 320471697; -1; 720821640; -1; 118095742; -1; 857121960; 678927429; 151365133; -1; 893708699; 729843285; 97181430; 126734204; 719322631; 780842896; 67970823; 314610446; 744130857; -1; 361101772; 109915155; 149166692; -1; 937244201; 767971309; 765533932; -1; 138206634; 248009838; 212136327; 745354564; -1; 926265411; -1; -1; 507032993; -1; 816196972; 85524933; 634479821; -1; 181112634; -1; 91734692; -1; 126993718; -1; -1; 657861394; 902498258; 645327786; 917200471; 959934068; 328020752; 889131520; 674604860; -1; 468050293; -1; -1; 570323416; 365033874; -1; 553243095; -1; 776480919; 143764530; -1; 857325061; 52037432; -1; 30851444; 486953520; 133427930; 309040248; 915383862; 565522624; 20218085; 893659242; -1; 99823454; 49511949; 737427938; 668286647; -1; 180065721; 425492418; -1; 969649261; -1; -1; 876943569; 353426982; 989244523; -1; -1; 562807273; 230264241; 353067365; -1; -1; 132361234; 512659921; 420614030; 73916698; 699531483; 110188158; 415950134; 466161113; -1; 451280262; -1; -1; 121814942; 442369566; 702537016; 348014521; 897062631; 621717182; 169011220; -1; -1; 218564801; 32555200; 98345268; 985315659; 597468255; 959167017; 418243535; 285617811; 256587130; 284592380; -1; -1; 130798179; 801527499; 193832372; 475980663; -1; 866746549; 475544235; 919324461; 358210087; 700285534; 468546593; -1; 178406988; 568803339; 263882108; 46163966; -1; 152831152; 26723819; 751918320; -1; -1; 457104293; 921966020; -1; 743750859; 687145986; 618845940; 234500588; -1; 769861198; 558997184; -1; 146997532; -1; 457115602; -1; 305749371; 899917696; 283083416; 892342899; -1; 429235181; 51703265; -1; 323366710; 53599414; -1; 499361721; 527967617; 300020395; 26265277; 408978085; 479998269; 413272805; -1; 144185665; 867964790; 29233650; 222775385; 867210287; -1; 161776204; 371778942; 21363395; 832451272; 611853728; 76428680; 730406319; -1; 174746474; 871176143; 816015609; 165700432; -1; 836217485; -1; 715256376; 585578742; 769234660; -1; -1; 138968204; 627408083; 446336168; 855240671; 940988130; -1; 686235054; 649376572; -1; -1; 989070857; 327680161; -1; 552406307; 850259374; 880137875; 801992789; 104074632; 278000389; 841440835; 98823466; 844342479; 936328851; 177885436; 107475636; -1; -1; -1; -1; -1; -1; 930610936; -1; -1; 12675815; -1; 383352915; 7229155; 888694640; -1; 163840162; -1; -1; 686058417; 158739866; 475085014; 332382056; 737291279; 177913625; 482154117; 864934645; 893576173; -1; 565215312; 414015463; 402316694; 55319698; 738595432; 581455553; 805589231; -1; 439174810; -1; 128516846; -1; 428341805; 463336291; -1; 267193516; 967961287; 799540462; -1; 601838286; -1; -1; 93269292; 307455500; 198435399; 547120202; -1; 609694731; 881304473; 227461369; 398218382; 992237037; 498824292; 5534895; -1; 576355388; -1; 298420428; -1; 958467603; 822291545; 364947442; 106741940; 546824748; 131123773; -1; 517588311; -1; -1; 289616854; 957187112; 405724938; 942647688; -1; 168616618; 760926381; -1; 294029837; 656932060; 350957696; 65966983; -1; 490792188; -1; 163117839; 252707386; -1; 935221264; -1; -1; 815503303; 395767713; 131393231; 851607065; 884838784; -1; -1; -1; -1; 269781437; -1; -1; 930470859; -1; 930240461; 962863478; 965537977; 600632697; 182103199; -1; 849776392; 717156254; 103147487; 828616782; 656102238; 225897904; 997977677; -1; 453023037; 590494099; 534704310; -1; 355956330; -1; 394913255; -1; 657831985; 258108663; 567072508; 474832665; 46107697; 995179442; 687245547; 816587359; 387925800; -1; 111696189; 296816847; 222863684; 595066259; 668092667; -1; -1; 370289142; 334525806; 647949746; 41846201; 902885529; 880764986; 644594541; 675401813; -1; 198154349; 308278550; -1; -1; 463684793; 514293589; 886441835; 678786563; -1; 654571254; 218479251; 237487732; 925889793; 319449258; 57129592; -1; 832180901; 858345239; 806204891; -1; 947505125; -1; 800994510; -1; 346997536; 759124700; 659560871; -1; 588807524; 463534368; 432776685; 66277541; 423897825; -1; 817748611; -1; 43116758; 919064517; -1; -1; -1; 431480611; -1; 955257684; 602006126; 814389641; -1; -1; 11935347; 42244974; -1; 548689127; -1; 924738607; 603806835; -1; 540334919; 587719193; 414241683; 665207758; -1; 322985873; -1; -1; 695207895; -1; -1; 456336907; 488078910; -1; 59654713; 5938001; -1; -1; 92357694; 153994655; 812763647; 368147277; 231192840; 407123290; 407591671; 944878456; 114716690; 253540990; 14059801; 773683116; 293168856; 637739461; 563119229; -1; 962668580; -1; 855012281; -1; -1; -1; 402529912; 284657816; 870204784; 71304083; 994972524; 340419705; 248740172; -1; -1; 655166330; -1; 369324751; 822871494; 153230108; -1; 560047708; -1; 739481614; -1; -1; 630869486; 5222068; 271780019; 314492450; 61171255; -1; -1; -1; 380264589; 583146397; 629362095; 689663441; 150585658; 121028727; 285552191; 127426160; 262437824; -1; 489472032; 218820795; 397210390; 653423516; 200434728; 139843866; 600414609; 230845711; -1; 763290908; 793866630; 367848654; -1; -1; 476840799; 739266264; -1; 152095299; -1; -1; 949029765; 178234326; -1; 333831398; 323040874; 262700407; -1; -1; 125897960; 544563293; 502991555; 935374950; -1; 287744900; 301864536; -1; -1; 641005820; 299462328; 44570168; -1; -1; 311693708; 452078315; 519471209; 876213052; 118437109; 476406809; 204950557; -1; 132269705; 563333316; 926901728; -1; -1; -1; 205220662; -1; 5821846; 636776468; 3125983; 956233993; 738391357; 684469695; -1; -1; -1; 144899833; 558369507; 261521052; 484777754; -1; 33700639; 937134222; 92319512; 665132760; -1; -1; 716233841; -1; 412767688; 535614916; 414669678; -1; 787481852; 844237225; 478767434; 330051695; 107331069; 736112791; 200962463; 930363757; 361476723; -1; 539989636; 677725372; 597785680; 358923939; -1; 744867791; 367722011; 528406810; -1; 207760447; -1; 938204561; 961351433; 41279150; 544404314; 72867527; -1; 611357533; 525924962; 217236589; 631819030; 431319864; 573684218; 587685628; -1; 565014688; 46458701; -1; 247086684; 438977825; 770214613; 451657967; 909873997; 257817986; 227446564; 351548691; -1; 960576147; 944442802; 146675421; 663581626; -1; 364536770; 59345003; 845990280; -1; 7250510; 179382148; -1; 84321189; 954339449; 882085089; 339791341; 705931858; 954049578; -1; 57916620; 917028497; 847194884; 838812635; 707730026; 450278808; 266986072; 838207154; -1; -1; 178396259; 762454302; 819621715; -1; 558887255; -1; -1; 19482980; 159039202; 573814653; 889744143; 687624092; 408305756; -1; 819420612; 162131151; 398087942; 790570300; 776628391; -1; 235786054; -1; -1; 396199285; -1; -1; 341784360; -1; 870686975; -1; 765569888; 135574201; -1; 435892135; 218441177; 957509691; 764272118; 771811718; 846321694; 608970981; 941850747; 628286830; -1; 128253764; 71009589; 771777025; 698667801; 757529013; 325044894; 480418387; -1; 210359527; 520147534; 917513148; -1; 223845229; 38960840; 924811719; 230117850; 785045133; 296030105; 143046045; -1; 4067177; 802793491; 725177649; 735021725; 916009318; -1; 347372152; 703196314; 915214777; 153016374; -1; 742815363; -1; 496252267; 543431994; -1; 358627726; 158427814; -1; 355537157; 641063142; 671678272; 103120992; -1; 899994647; 370447556; 514641110; -1; 473071908; 449377950; -1; 859534137; 815587096; -1; 605976303; 987764637; 667054524; 431649175; 225503181; 665433899; -1; 144209133; 944786078; -1; -1; 839969405; 408582905; 653146426; 958147471; 392587226; -1; 223860302; -1; 961553934; -1; 601677363; 551742156; 108352135; 399989145; -1; 65355158; 803242562; -1; -1; -1; 391057068; 775341664; -1; 909270907; 453900437; 436408333; 90922343; 406997401; 727153361; -1; 247335469; -1; 599741519; 311164495; 332389678; 163647124; 361054576; 867680555; 332481030; -1; 337048314; -1; 639085987; 607538706; 228447678; 366065040; -1; 2665782; -1; 190737744; -1; -1; 581637765; -1; -1; 885030829; -1; 82667033; 550415798; -1; -1; 321170629; 659261138; -1; 942413396; 859602837; -1; 540120730; 307423427; -1; 334652637; 385392167; 616937952; -1; 320035402; -1; 724167834; -1; 317017272; 824850278; 873265421; 338551018; -1; 314517053; 811963159; 128180481; 81038153; 82478800; 451640482; -1; 95329731; 527853618; 18569658; -1; 481244361; -1; -1; 249553977; 104721266; 467356250; -1; 580873560; -1; 114691694; -1; 23969720; 464873635; -1; 356219542; 513970926; 400259535; 185143371; 303558730; 165257720; 512876961; 844083309; 876651353; 833191503; 847534085; 36872673; 277473866; 399147415; -1; 44366383; 526811532; 426946913; 215098288; 41844128; 810593417; -1; -1; -1; -1; 630448501; 677390981; 760657789; -1; -1; -1; 875027802; 757972043; -1; 558826091; 393978845; 13826872; 111732616; 237377644; 500439715; 786190507; 645044234; 560215348; 966742617; 911273200; 741828797; 138936574; -1; 754355686; 251758561; -1; -1; -1; 719576092; 684132456; 554007690; 885506946; 525409680; 223399427; -1; 747371051; 794541130; -1; 472610148; 514578448; 71273640; 705302594; -1; 496364412; 894309705; 158429009; -1; 710616208; -1; 350251881; -1; -1; 457152055; -1; 16104284; -1; 328214346; 524847965; 893713226; 548729776; 129324698; -1; 736978891; 74955205; -1; 440830700; -1; -1; 601492742; 21254171; 777148408; 587878621; -1; 777654230; 411720896; 845895068; -1; 110341401; -1; 273742099; 998113321; -1; 620949947; -1; 583686194; 828789912; 845916027; -1; 394686480; 30578361; 81654563; 23511096; -1; 659352103; 134443703; -1; 523010419; 810560382; -1; 973834969; -1; 533606711; 246524501; 996288521; 503616358; -1; -1; 730932759; 416312666; 819353393; 915948760; 484419560; 234703885; -1; 21816002; 594611040; 424310950; 350079915; 820961283; -1; 894886444; 570359096; -1; 124990449; 188683671; -1; 443440753; 299135865; -1; 218753380; 491873990; 964154523; -1; -1; -1; -1; 955245796; -1; 654329982; -1; 450092611; 865357294; 250757773; -1; -1; 914451008; 959948997; -1; 894764011; -1; 594141967; 670442088; -1; 608247590; -1; 387589341; 938708940; 816227059; 812756712; 583374473; -1; -1; 777632236; -1; 177805500; -1; 826845841; 536442225; -1; 399186988; 525088327; 253803075; 329782596; -1; 665315768; 702381802; 38385214; -1; 104740893; -1; -1; -1; 318801934; 885758667; -1; -1; 911518657; 4708245; 285857908; 724744797; 448584830; 729477275; 149169006; 851467948; 249586289; -1; -1; -1; 791178304; 713790803; 952693297; 761801525; 192737250; -1; -1; 541766332; -1; 77171391; 730490225; -1; -1; -1; 234505095; -1; 858385870; 717067702; -1; 728843833; -1; 556586183; 744333808; -1; 494980181; -1; -1; 116396784; -1; 239532539; -1; 911541507; -1; -1; -1; 136875926; 3502578; 519202009; 586628039; -1; 286582035; 946638772; 52036928; 109022540; -1; 816318084; 536138894; 564431280; 718238472; -1; 818981850; 975509873; -1; 488838851; 426325079; 312895858; 310996982; -1; 24094394; -1; 649149205; 884072924; -1; 388134985; 657068148; 684174113; -1; -1; 277533018; -1; 82942015; 337875324; 877642283; 420909479; 73531119; -1; 217036349; 130800923; 669087442; -1; 35281129; 892790891; 650759177; 598171390; 490333360; 527764859; -1; 764821808; 238444540; -1; 453194496; 816510454; 889299385; 346723886; -1; 306034514; -1; -1; -1; 677203151; 198757072; -1; 945391914; -1; -1; 232537639; 773218962; 677069834; -1; 345335157; 422812096; -1; 766617231; 212837120; 75624618; -1; 547170681; 245921564; -1; 739776517; 315189019; -1; 478851209; 349799160; 714899975; 160890429; 244411911; -1; 230989366; 560519738; -1; -1; -1; 38322916; 994216906; -1; 701261670; -1; 825164453; 147662221; 442940839; -1; -1; 883146665; 86916192; 977907602; 288528691; 204333405; -1; 451761161; 524042361; 667013806; 198707820; 690266888; 675728780; -1; 964290264; 324419655; 235479404; -1; 1784476; 742328302; -1; 412233368; 78512838; 513063511; -1; -1; 690585112; 462928314; 931387359; 451655857; -1; 665354531; 895114201; 917605427; 423815166; 619025985; 345657447; -1; 393859655; -1; 352737624; -1; -1; 807905234; 373677051; 13021210; -1; 737795860; 443673616; 227135138; 263319509; 867589661; 483853384; -1; -1; 918837052; 504792979; 836342913; 936545681; 760447034; 196725569; -1; 735957034; 774117662; 940291731; 870605688; 628060931; -1; -1; -1; 858258408; 20102795; -1; 12738121; 250924865; -1; 498168071; 893440121; 986430536; -1; 976392173; -1; 899956630; 487253031; 931834859; -1; 242599063; -1; 243934448; 11648171; 115172878; 646966501; 24089025; 313356476; 510466551; 519862562; 807688751; -1; 672838068; 764682175; 945877224; 59099152; -1; 590504040; 567217734; -1; 876680413; 117367607; -1; 286732095; -1; 600449734; 189386504; 229025698; 395378915; 870288235; 271009693; 484464803; 367907303; 186463494; 653519228; 986039043; 641880972; 617895865; 196922190; 19277664; -1; 895765467; -1; 830264569; 892813446; 273637209; 881791900; 512632830; 612777777; 262590464; 719483268; 190248612; 624833893; 853210825; -1; 264568383; 27751000; 36978770; 175561771; 300930733; 355863449; 634459229; 145016520; 549137536; 741897320; 54351573; -1; 248074535; 843195976; -1; 120521617; 236067113; 782270618; 698763578; 341066302; -1; 642121616; 307443237; 361290695; 954844511; -1; -1; 787699525; 552052506; 890131074; 204215683; 304539799; 941404406; 32582603; 573613916; 681338609; 137400468; 224407648; 954291777; 963201455; -1; -1; 555297592; 624058942; 315690087; 92343445; 436600523; -1; 117085813; 548521990; -1; 267833762; 738180561; 506843570; 257807920; -1; 500239774; 191327694; 633279974; 117826286; 782916262; 142962352; 728950480; 596790698; 549122141; 116246651; 204730775; -1; 870167749; 563257075; 75184709; 260184279; 103982557; 45141122; 617614336; 824542831; 590181282; -1; 854225759; 30912878; 862201720; -1; 467967; 688266731; 913097278; 421456346; 333815797; 612517674; 735849728; -1; 359615401; -1; 570874195; 21731321; 751613390; 570608155; 72054628; 630487613; 733383363; -1; -1; -1; 599593273; 59424142; 322905850; -1; 903558034; 996865232; -1; 459019184; 998149751; -1; 493616905; 603007550; -1; 740809804; 510318262; -1; 455905160; -1; 12208056; 474114688; -1; 70056402; 32432767; 466010006; -1; 218337262; -1; 678374276; -1; -1; -1; 462818328; -1; 642277094; 811755830; -1; 427404601; 590299424; 360938723; 145756871; 259421158; -1; 873699086; 694582750; 595416904; -1; 560816493; -1; -1; -1; -1; 770815874; 485263008; -1; 633242683; -1; 393657950; 217798006; -1; -1; 718262819; -1; -1; 19185695; 789618828; 206122704; -1; -1; -1; 204358419; -1; 578837310; -1; 62388507; 242476124; 425342891; 951410377; 778202780; 552211428; 705633109; 716104726; 465984698; -1; 953826939; 871060626; -1; 153794766; -1; 963390516; -1; -1; 553664014; 799450528; 352072756; 476263014; -1; -1; 786716472; 401981924; -1; -1; -1; 428108776; 867676141; 423345014; 976559894; 123239846; 120383085; 685109848; 524256191; 510703926; 768904802; -1; -1; 65929210; 766067840; -1; 671186841; 770361382; -1; 324604675; 59048593; -1; 435927989; -1; 892532268; -1; -1; -1; 954463023; 122899450; 639447331; 291444179; 201024195; -1; 967595397; 243534584; 130753102; 416092048; -1; -1; 177820071; 592889029; 515238116; 930189741; 834392158; -1; 491766017; -1; 231045340; -1; 679108050; -1; -1; -1; 237159981; 852632654; -1; -1; -1; -1; 786635279; 243674895; 915170029; 6607156; 541940986; 921682742; 532756963; 535359626; 621769189; -1; 199244554; 835802246; 865183493; -1; 769342289; -1; 74282665; 626561583; -1; -1; 904315416; -1; -1; 314044569; 220761327; 34319101; 887083465; 857648866; 444212497; 321732187; 123698237; 675978856; 474756820; 691694790; -1; -1; 9646414; 382353707; 194546354; -1; 520952019; -1; 917640713; 616934858; 391172624; 187912155; -1; -1; 422135594; -1; 578305180; 571988422; 867071492; -1; 224641045; -1; -1; 934885992; 574175314; -1; 696840122; 814857707; 741882971; 615078436; 900255860; -1; -1; 139106419; -1; -1; 230561815; 785069489; 746598213; -1; -1; -1; -1; -1; -1; -1; 123957898; 650597220; 463432202; 160160044; -1; 354224652; 491524502; 965838827; 827889023; -1; 119211929; 426470362; 153939667; -1; 435907329; 328484113; 400411534; -1; 498033191; 360642948; 640482793; 331320224; -1; 151827858; 389029094; 689279828; 909093437; 207269147; 571279604; -1; 199346776; 218439750; 88703750; 591889133; 956458156; -1; -1; 142197270; -1; 431964180; -1; -1; 57217798; 329832298; 883081772; -1; -1; 272016681; 30118594; 193280352; 978892812; 478114288; -1; -1; 64734054; 906384885; 366137524; 194909769; 88496499; 851510189; 10726600; 418223473; -1; 338718309; 81944915; 725013266; 657602227; -1; 964406751; -1; 261986663; -1; 14763235; 689876063; -1; -1; -1; -1; -1; 200022005; -1; -1; -1; 538672893; -1; 969345951; -1; -1; 300999374; 546032989; 823223586; 414795042; 327840073; 35791008; 899347836; 495905414; 928672999; 855814545; 203638146; -1; 456543479; -1; 918750390; 626044605; 524288501; -1; -1; -1; 154377395; 649824612; 188121751; 411540763; 358269396; 801966272; 954308321; 62156837; -1; -1; 196990885; 850781921; 691590386; -1; 547939056; -1; 603895534; 836793408; 127080683; 345200162; -1; 157816330; 999673045; 412312724; 704880117; -1; -1; 13198998; -1; 42919021; -1; 335534563; 19451887; 525216844; 235310821; 600196134; 580270867; 75689523; 926673254; 403272492; 393528723; -1; 44489338; 746398700; 29114273; -1; 587360241; 872993836; -1; 23418726; 784873638; 711717504; -1; 674556388; -1; 423955689; 837652903; 776709861; -1; 111581846; 143012813; 987390201; 482298708; -1; 553168810; 184088269; 692656116; 598046011; -1; 965054633; 50031512; 824963352; -1; 116453829; 418227618; 837334919; -1; 800949784; 654008758; -1; 935382296; -1; 975680211; 264678313; -1; 989740445; -1; -1; -1; 733405396; 84581019; 872666100; 323435532; 754307973; -1; 762011341; -1; 227581849; 952939472; 930201255; 626412400; 876923985; -1; 232905232; 463102302; 474064630; 123816868; 490504599; -1; 71045242; -1; -1; -1; 409278509; -1; -1; 471218305; 215324170; -1; 999680221; 589528181; -1; 485960044; 118407682; -1; -1; 918143993; -1; 403407764; 412393844; 378202718; 868584650; 874521357; 981112045; 666226054; 464945901; 459742098; 811615720; 737650260; 146463799; 901352058; 223846937; 442416018; 614018043; 866564738; 817618711; 859000906; 227174248; 286945143; 988371107; -1; -1; 101491944; 120585097; 878907240; -1; 192986356; -1; 769979700; 9568611; -1; 132352078; 361077110; -1; -1; 354506168; -1; -1; 591278981; 773390231; 219918442; 813778940; 772063002; -1; -1; -1; 921378791; 724671044; -1; 987129750; -1; -1; 66635536; -1; 72484466; 933706496; 621619105; 959012610; -1; 490109314; 27970811; 86372489; 507691147; -1; 763780560; 464845189; -1; 122202159; 607702412; -1; 478574444; 69305140; 323723330; -1; -1; 562139457; 409181141; 671608429; -1; 879520563; 717140627; 231550881; 746823696; -1; 910346070; -1; 958549841; 930622109; 569264584; 859855617; 653673758; 237626675; -1; 725880834; 590778796; -1; 445828445; 761270837; 466682195; 399641845; 432997026; -1; 728346587; -1; -1; -1; 609185267; -1; -1; 465603928; 80062091; -1; 518210993; 868539153; 765223964; -1; 553732772; -1; 788051906; 337560963; 937331666; 67452004; -1; 489074556; 452096714; 738500820; -1; 12309081; 898157895; 352336790; -1; 654392311; -1; 182705100; 206656305; 975627967; -1; 648219500; -1; 392217474; 636361464; 572791541; -1; -1; 794025565; 613579437; 942870469; 264204768; -1; 417301079; 374016862; 956508195; 177119644; 399170016; -1; 147678476; 664348841; -1; -1; -1; 101909949; 95291160; 327621887; 132101154; 319687917; 483253535; -1; 715471569; 160935716; -1; 721315757; 478552761; 904720028; 463920145; 514310278; 861521105; 520300923; 516901919; 873622708; 70910733; 876616311; 299851066; -1; 685346520; -1; 850142692; 827737522; 454668876; -1; 939302521; 222445810; -1; 406765936; 281151270; 947436430; 985556496; -1; -1; -1; 401186495; 378167447; 769725116; 572453898; 331915977; 481263047; -1; 501710303; -1; 924735028; 35745255; 756518320; 587696712; 746535586; 857767865; 420462562; 373336571; 396773601; -1; 378473926; -1; -1; -1; -1; 904399660; 720494777; -1; 650064199; -1; 545036262; -1; 764095665; 559434933; 810717137; 825634754; 860448876; 351447106; 877904439; 588609475; -1; 296598826; -1; 964769327; 360616430; 685634875; 773992575; 994162552; 665581308; 534882596; 887997708; 473022780; -1; 839695217; -1; 976585559; 553426611; -1; 762490005; 108322250; 121357578; 27561638; 435166803; 492580040; 467801598; 711355300; 497664875; 656194958; 298072063; 778290340; 93590759; -1; -1; 955640051; 64878846; 988152146; -1; 576412902; -1; 6419376; 729240623; 910315572; 893550062; 989261129; 870708547; 18883871; 228335060; 543106965; 280905477; -1; 148190477; 247992103; -1; 7973057; 109648888; -1; 195379448; 980370060; 871984001; -1; 457588525; -1; 725899479; -1; 693555421; 460290463; 679683371; 292437801; 509292346; 348414561; 438059233; 257750717; 487502636; 305955960; -1; 687170316; -1; -1; -1; -1; -1; 321294370; -1; 716554929; 358181798; 871622123; 722426901; 273071605; -1; -1; -1; 412983763; 497249691; 700778134; 111853648; -1; -1; -1; 407983983; -1; -1; -1; -1; -1; 156915250; 183115000; -1; -1; 415437979; 357123276; -1; 673934857; 306648718; -1; 518847548; 478607805; 520369780; -1; -1; 361813205; 738965763; 590125961; -1; 536844787; -1; 251808669; 989706806; 772518888; -1; 717581122; 416536561; 791232082; 330141587; 223118334; 816083202; 404429781; -1; 185598151; 165497002; 595473231; 36486788; 546066938; 834348967; 701215184; -1; 790034384; 179217095; 90885493; 870352537; 84767143; -1; 292923014; 50886699; 585404261; -1; 49249867; 652504820; -1; 382439727; 47228332; -1; 839736194; 820878412; 501143950; 155144742; -1; 959847237; 701800301; 756962047; 279129785; 703241672; 947817946; -1; 768837880; 331367148; 533900692; -1; 535767785; -1; -1; 102948347; -1; -1; 112905030; -1; 824987221; -1; 423343289; 206419382; 105409148; 536834937; 152710369; 120485758; 516454231; -1; 496695885; 461260457; -1; 477380148; 375898504; 316772742; 146278920; 631797797; 882788028; 302385286; -1; 403365036; 304137356; -1; -1; 217452384; 241287008; 629479355; 805060662; -1; 138396642; -1; -1; -1; 510743292; 697064803; -1; 638759591; -1; 57453394; -1; 570377916; -1; 7203086; 810349766; 239887288; -1; 12573561; 715596315; 438215715; 730751753; 942049176; -1; -1; 880800782; 388506764; 175492688; 503217276; 479666205; 217882004; 59170758; 427749618; -1; -1; 907151038; 138778703; 58036980; 693714790; 111285897; 876106109; -1; 36985812; 416131434; -1; 367135815; 280127538; -1; -1; -1; -1; 911905949; 103579261; -1; 483817409; 897116362; 623784543; 100901047; 892858432; 247051543; 245972416; -1; 378699817; 241936491; -1; 216565983; 69527525; -1; -1; 463290593; 946798413; 199146813; 147801371; 593849285; 19841837; 421799172; 355784774; 25992347; -1; 430708137; 419988234; 947083332; 516468122; 239581032; 279373740; -1; 830169997; 25023130; -1; 586866941; 524439814; 675986857; 886828641; -1; 103403088; -1; 165215446; -1; 503388842; -1; -1; 311795120; 955525257; -1; 819826773; 866984767; 806388190; 976656609; 382016340; 472957867; -1; 518785714; 142034072; -1; 967159846; 578796391; 955591196; -1; 756507596; 99226084; 37193297; 395800101; 945504896; -1; -1; 420977604; 838486645; 911735197; 817722298; 502163832; -1; -1; 133821070; 392146842; 358479093; 273414586; -1; 435656818; 173360280; -1; -1; 756185281; 908230259; 512959472; -1; 691290409; 313228115; 169288379; 747718589; 704875622; 443749996; -1; -1; 618261548; 242038796; 753089052; 475580104; 534088250; 741334062; 385324056; 668132690; 601377163; 817946690; 366510362; 97659197; 586983877; -1; -1; 966594914; 407446707; 199100969; 379382199; -1; 849847973; 580799177; 515668576; 656800757; -1; -1; 96939093; -1; -1; 985198169; 373886599; 492486718; -1; 962186495; -1; 894948973; 268947597; -1; -1; 807923615; -1; -1; 946983227; 291886892; 565592135; 693146403; -1; 447919382; 104979784; 663234335; 58422019; 891096483; -1; 105190853; 264263733; 5511429; -1; -1; -1; 977530248; 417153751; 541409441; -1; 405928021; -1; -1; -1; 266083273; -1; 702335707; 738688943; 391489863; 468233308; 663438993; 844679517; -1; 385715773; -1; 429655220; 263756125; 285879196; 517267978; 512170206; 6306512; 14317421; 511839082; -1; 663839612; 32011319; 473981993; 678698109; 883172743; 898562464; -1; 918233677; 946429945; 467462788; 61079264; 346584252; 733609761; 106474865; -1; -1; 353573710; 130127415; 225987823; -1; 738224742; 916523813; 488667757; 783103603; 297420867; -1; -1; -1; 432484393; 112352938; 394529392; 12949020; -1; 203105296; 18037863; 587247822; -1; 396757808; 397955608; -1; -1; 39021004; 961369437; 46074808; -1; -1; 40833784; -1; 288579550; -1; 652191442; 917928091; -1; 912395486; -1; 166651181; -1; -1; 330281093; 16174310; -1; -1; 953651197; 530642497; -1; -1; -1; -1; -1; -1; 395841808; 183187555; 413553502; -1; 555046225; 351636826; 545601830; 915200616; -1; -1; 928679212; 388455338; 767523653; -1; -1; -1; 133826868; 765201868; -1; 360069314; 981908025; 77174749; 700551787; 206916204; 880706338; 796880576; 697434270; -1; 321064291; -1; -1; 693480617; 401133184; -1; 269970289; 704370914; 167417123; 880132514; -1; -1; 276160655; 76522121; 965352653; 79412867; 1307137; 943145225; 261443624; 832102965; -1; 313528527; 123011040; 796986682; 669434573; -1; 141917246; 760083817; -1; 466241611; 91004706; 804569880; 286687429; -1; -1; 789191400; 982225627; 961348579; 996749196; 664571377; 660658146; 885359543; -1; 162720536; 788515117; 310670292; 898329892; 265133961; 422084514; 530139003; 424997620; 48968873; -1; 124246867; 653143129; 425387455; -1; -1; 410516550; 42207289; 722406326; 738414131; 30541526; -1; -1; -1; 169350897; 476783992; 269650248; -1; -1; 798949531; -1; 230635063; 81132108; -1; 533696463; 469034557; 374019910; -1; 377014406; -1; -1; 711832596; -1; 765902508; 824634645; 741234112; 205441380; -1; 191120956; 516626303; 947344986; 176096501; 351127808; 228067385; 594653149; 797535054; -1; 911076089; 844344475; 618982205; 210198323; 19744075; -1; -1; 593974225; 189075893; 940579189; 857225314; 374825920; 909450509; 592288322; 325885162; 663237702; 466519321; -1; -1; -1; 192978760; 85615854; 979219066; 862796067; 338783995; 426302454; 481020508; -1; 666699756; 182818925; 495974495; 913859577; -1; -1; 642121607; 210238744; 334717984; -1; 261069561; 960052955; -1; -1; 215828212; 954017656; -1; 567144038; 394916446; -1; -1; 36439404; -1; 262674313; -1; 138955565; 357616996; 862214578; 996090222; 808446471; 126961796; 530608374; 289961642; 291668772; 993956090; -1; 669928617; 192405182; 537486774; -1; 597726707; -1; -1; 144446723; -1; 690118221; 599923936; 547507916; 843142591; 232738467; 634883743; 898162147; 27499907; 213980430; 880345154; 340300043; 47589508; 232930854; -1; -1; 328702928; 965431301; 194517877; -1; -1; 155094257; -1; 877739766; 686727772; 629081157; 594765149; 260849312; 634062321; -1; 674020692; 217215001; -1; 417471647; -1; -1; 196396566; 959771599; 179029115; -1; 509525813; 215645359; 317290711; 433212161; 375193862; 267145724; 142115322; 318310056; 633747242; 477779596; 98385895; -1; 114166837; -1; 225862778; -1; 838095462; 336092823; 51848394; -1; 495622390; 83153747; -1; 224623414; 977465749; 809993383; -1; 730270408; 415821902; 879930611; 99142352; 436799463; 49727021; -1; -1; 814290158; 883337571; 293692502; -1; -1; 646183297; -1; 661264790; 47513928; -1; 314488127; -1; -1; 555344314; 390746038; 369294681; 360051511; 917851793; 152195878; 335307671; -1; 917989498; 681589744; -1; 490225181; 218121142; 689449245; -1; 178807411; -1; 683282914; 422423326; -1; 379460096; 206842901; -1; -1; 582968160; -1; 815429134; 687644594; 316509210; 336304837; 254073214; -1; 667768656; 811581336; 578017387; 445021689; 71967153; -1; -1; -1; 262627228; 826137480; 593889361; 859776711; 972963194; 534107931; 756233806; 896903517; 465672094; -1; 997517163; 98511477; 461841047; 82093963; 732422510; -1; 923762413; 639495887; 811198539; -1; 986361878; 590510233; 470304636; 731313055; -1; 839179455; 686461616; 957193519; -1; 572863605; 736863581; 125106243; -1; -1; -1; -1; 168298999; 980666614; 677065999; -1; 947952598; 222820166; -1; -1; -1; 725032962; 662098785; 215978713; 448109612; -1; -1; 666315605; 973689819; 671145723; 566711796; 145453502; -1; 576437891; -1; 664472332; 650228957; 397973849; -1; 943851324; 760372554; -1; 182866532; 425176486; 522285784; 92561577; 620044518; 130604050; 170104418; 626697892; 741641176; -1; 886932749; 209579601; 375973983; 963786957; -1; 270217913; 209433540; -1; 712452635; 426133730; 65557744; -1; 684214049; 713031905; 434858780; 536124167; 24638465; 871866261; 399665078; 148481434; 950332364; 899006555; 849882124; -1; 976407901; 286365138; 363600036; 772468551; -1; 128651194; 80534683; 910981900; 744762154; -1; -1; 136468132; 165377894; 898295881; 34140186; 235784549; 566734635; 526399010; 941409488; 634917616; 686768871; 502541291; 634374361; 176117443; 839463628; -1; -1; 807788412; 255634969; 109463109; 283266327; 612690362; 647322881; 652648736; -1; -1; 552704670; -1; -1; -1; 165243936; -1; 776944941; 438948950; -1; -1; 703089191; 903599073; 916757595; 220062314; 383076305; 231121523; 534995270; 636185707; 2244581; -1; 960840812; 22590748; -1; 914176906; 566885167; 198423333; 271995537; 726634155; -1; -1; -1; 285348806; 100836287; -1; 867714521; 441208800; -1; 123270330; 28003344; 273379263; 593872200; 152697303; 78700973; -1; 199718697; 716005378; 299224432; -1; -1; 932977076; 667052412; 682089093; -1; 430532768; -1; -1; -1; -1; -1; 53363528; -1; -1; 671778993; 69623504; 58348532; 445675004; 34337138; 331590277; 243682968; 691425462; 199173951; 59486029; 7094846; 259124742; 546949870; 683475603; 808695402; -1; 762908293; 829471256; -1; -1; -1; 25947504; 105398093; 578845952; -1; 610441997; 250037553; 864117310; -1; -1; -1; -1; 848209169; 192270540; 804323748; 747493394; 420197415; 404882330; -1; 290560186; 423531970; -1; -1; -1; -1; 198363349; 758763201; 9548546; 820679184; -1; -1; 375793589; -1; 714875144; 555649049; 692049149; 416572103; 661293673; -1; 148190838; 497910429; -1; 634982592; -1; 281670286; 50966360; -1; -1; -1; 717602173; 781675794; -1; 963782659; 191894785; 381257440; 839384857; 944108261; 868153372; 105808137; 404458233; -1; 853429326; 554109250; 874447778; 526342776; -1; 186459699; 539190876; -1; 99741684; 572980372; -1; 601383623; -1; -1; -1; 127345081; 560876239; 835556133; 752033217; 664083931; 301203387; 975875732; 218613209; 522924220; 688350489; -1; 380331896; -1; 653384481; 919024268; 884957165; 645290046; 297716619; -1; 84246401; 3750316; 29043057; -1; 567690188; 124393983; -1; -1; 510595662; 985984310; 243300831; 489074788; 826904489; 580034978; 168790757; 82107889; 826203269; -1; 280388470; -1; 862506256; 701645837; -1; -1; -1; 746034193; 746929920; 702858423; 898360451; -1; -1; -1; 965542784; 748758871; -1; 166854415; 947360113; 630425383; -1; -1; 119090273; 435086396; 180832625; 911937947; 709837994; 521943417; 656756932; -1; -1; 631083539; 204945659; 724670218; 818732809; -1; 551244721; 122607992; 4495176; 711640979; 662381820; 34243730; -1; 514603791; 942463263; -1; 696635118; -1; 246093796; 424287916; 950413637; -1; -1; 729259405; 159788014; 604156628; 652774400; -1; -1; 75092133; -1; 717147985; 770141253; 836257809; -1; -1; 830609585; -1; 61452187; 197673711; 399357366; -1; -1; -1; 651571726; 374813295; 105559605; -1; 423444931; 103566300; 427077445; -1; -1; -1; 444437990; 991864282; 537966297; -1; -1; 10037644; 563507084; 773316971; 649078556; 847211678; -1; 273105568; -1; 95564884; 212458102; -1; 854195190; -1; 409965897; 324838808; -1; -1; 301348605; 494490640; -1; -1; 998485831; 148644562; -1; -1; -1; 67624879; 795362692; 849705392; 321185764; 790841412; -1; -1; -1; 540159036; 54832833; 245358571; -1; 114084021; -1; 460442674; 587502616; 608395849; -1; 435639667; 294144257; -1; -1; -1; -1; -1; 840944685; 791448812; -1; 339836479; 925187647; -1; 136717254; 498241061; -1; 943000481; 432114110; 292349756; 768216512; -1; -1; 47727573; 364281135; 781504815; 325967895; 878920071; 460010958; -1; 361465557; 581214959; 392726770; 724028226; 85812807; 395507465; 731739707; 431977048; -1; 309095595; 652092052; 936929465; 422740696; -1; 299149601; 862805652; 739771879; -1; 93859415; 319122855; 184547111; -1; 893356196; 628168259; 253151196; -1; 446985311; -1; 27650416; -1; 392398004; 602662593; 23113549; 939259453; -1; 329012486; 104950352; 514324688; -1; 975931756; -1; 370112601; 126980297; 397417257; 146390150; 525764434; 63733821; 577340820; 431777988; -1; 587194581; 177354322; 999640924; 509918960; 550197013; -1; -1; 574351736; 729024167; -1; 821244351; 463983198; 904301415; 37467533; 941886472; -1; -1; 526399126; 39819914; 54165981; 567792501; 339810363; -1; 752364658; -1; 253911562; 188506571; 879024997; 973934110; 489696096; -1; -1; 562689281; 251585692; 668929758; -1; 990930117; -1; 958492575; 748788425; 18876682; -1; 630618128; 954590172; 738142451; 265453959; 936962623; 294244060; -1; 202421652; 129132480; -1; 290962542; -1; 883036535; 884371447; -1; 22782482; 223150462; 109196022; 453441302; 556325625; 387523268; 382396031; 585204177; -1; 702202744; 457892188; 128930159; -1; -1; 84705796; 871240931; 331445404; 426495805; -1; 64585976; 594391848; 979265813; -1; 489998206; 917869914; 640341312; 873570379; 225099339; -1; 486153896; 723097246; -1; -1; 574442466; 182220602; -1; 514609667; 700081904; -1; 11640580; 972493022; 715806971; 911162859; 674866768; 461041863; 637355684; 457025181; 912748560; 403498337; 717193386; 690056000; 309567821; 445007106; 955318878; -1; -1; 169765573; 358903675; 265250591; -1; -1; 666177488; -1; 727154822; 442649465; 895650199; 901808600; 51119527; 981293401; 933416472; -1; 10940312; 481027443; 220319305; 267679653; 453658571; -1; 767303222; 434341855; 447204833; -1; 768272251; 779210359; -1; 448758398; -1; 63850284; 464301010; -1; 16358829; 660660158; 104997278; 39002459; 924674886; 463821282; 170780111; 925401596; 194812448; 283784569; 228008115; 216979733; -1; -1; 714637252; 988963609; -1; 954024545; 315942169; 290471128; 164744144; -1; 270884654; 515023525; 764025183; 500815585; 91304649; -1; -1; 964267544; -1; 894705457; -1; 611134897; 977881630; -1; 372269268; -1; -1; 532667495; -1; 826728958; 892822758; 610293887; 625848664; 491408455; 301563136; -1; -1; 744780257; -1; -1; -1; 310471869; 712947766; -1; -1; 538980487; 971189568; 791171532; -1; 315782337; 376650693; -1; 865412458; -1; -1; 126745600; 546817451; 667838566; -1; -1; 640261027; -1; 45601632; -1; -1; 260860688; -1; 993509732; -1; -1; -1; 598351280; 852104514; 178889881; 799580470; -1; 156090897; 92853858; 272086256; 798229877; 820728308; 643101122; 426158251; 642054223; 440310359; 935218362; 736369785; 890827877; -1; 9220539; -1; 202104; -1; -1; 933791973; -1; -1; 771591051; 105744908; 317393354; 954653387; 417192312; 631288592; 221325764; 634432849; 12413742; 369122900; 182220466; 194962671; 197634924; -1; -1; 755315653; 45189345; 135821405; -1; 430025314; -1; 904384745; -1; 666954051; -1; -1; 893917053; -1; -1; 836579680; 696153016; 433990229; 254421378; -1; -1; 210676147; 835671050; 759216313; 330472926; -1; 906328285; 468326379; 955424827; 386081197; 993422040; -1; -1; -1; 987888708; -1; -1; 958031946; 663154408; 411206007; 65985192; -1; 152333629; 114127848; 12172128; 473984777; 405287874; 921488062; 533381405; 81582402; 194735190; 549864211; 252533319; 163509102; 96148337; -1; -1; 490337025; 607530115; 803896489; -1; 417100150; 828320722; -1; 525797329; 155231986; -1; 212205528; -1; -1; -1; 3613279; 295270615; 849945930; 388257053; -1; 822675587; 94363835; 700697379; 11218636; 995627742; 572721624; -1; -1; -1; 766209973; -1; 917942791; -1; 678840618; -1; 167116694; 957724585; 835799607; 259473255; 536833646; 932688907; -1; 672699232; -1; 154707272; -1; 596022721; 776677339; 627146354; -1; 986674991; 858620057; 668655576; 406736724; 387335234; -1; 901134417; -1; -1; 646780495; -1; 633582143; -1; 715403644; 555756067; 192464599; -1; 48748863; -1; 872036381; -1; 300815528; -1; -1; 968689687; 721219727; -1; 718686822; 371377480; 732854419; 974389327; 232951148; -1; 654185763; -1; 355154409; 48840542; 533408171; 913841960; -1; 316861944; 922338620; 838573206; 177703448; 510263093; -1; 717195832; 681979975; 313142627; 960566466; 306519201; 792645959; -1; 134264271; -1; 214866694; 293307963; 985491846; -1; -1; -1; 967495811; 418213153; 205297924; -1; -1; 62371671; 779131266; 879617752; 868788116; -1; 194421000; 449164746; -1; 915616961; -1; 760963292; 668745617; -1; -1; 586146810; 303500150; 53615997; 254815908; -1; -1; -1; 662099175; 7397962; -1; 234188150; 551527487; 506245552; 403862635; -1; 686271985; 790306857; 185327730; 904656673; 731987070; 386581118; -1; 219102321; -1; 477690565; 141164191; -1; -1; 450217995; 387346830; 646783087; 890336274; -1; -1; 908489536; 339460618; 836777891; 87687570; -1; -1; 133120592; 503789942; -1; 746596025; -1; 402428135; -1; 160707943; 57059170; 295872696; 383883568; 257079299; -1; 664213525; 825520539; 616128782; 921126058; -1; 144766247; 989879336; -1; 709282652; -1; 510143592; 301424760; 892847044; 902460192; 462531465; 434856981; 248454419; 842944653; 989361569; 967614111; -1; -1; -1; 240515444; 320131593; -1; 833093834; 355522115; 426064531; -1; -1; 709376728; -1; -1; -1; -1; 291915523; 522844797; -1; 221907021; 401433332; -1; 982964523; -1; 791530574; -1; 563720627; -1; 353226794; 971922013; 717153482; 412916021; 222265317; 830022031; 762609915; -1; -1; 13911988; 244169328; 542309690; 797011306; -1; -1; 864589212; 290322196; -1; 206637556; -1; 314453302; -1; -1; -1; -1; 249558220; 759996379; 707376072; -1; 976240347; 901725565; 644068285; 818137622; -1; 646915646; 801509160; -1; 288192744; 658069868; 337478297; 524836552; -1; -1; 861801101; 242125830; 771318901; -1; -1; 722884243; 507199210; 368346273; -1; 873981061; 423397008; 802832223; 364125002; -1; -1; 671009868; -1; -1; 700464560; -1; 771173669; 566736907; 926742809; 274756189; -1; 102314358; 937415422; -1; -1; 469588642; 513755876; -1; 395393167; 945104976; -1; 694355380; -1; -1; 641613883; 723538842; -1; -1; 812628161; -1; -1; 458179337; 375260016; -1; -1; -1; 611838670; 939332708; 727688052; 26489326; 397687371; 3104158; 756580619; 713557540; 289783614; 967522712; 475510910; 755719768; 928409366; 102710432; -1; -1; 175453930; 547921471; -1; 207999390; 718071151; -1; 68655552; 927129216; 290304194; 530854282; 291318020; 367910974; 447217475; -1; -1; -1; 919104463; 45708963; 320091584; 992289093; -1; 819926689; 933877619; 65835319; 233006104; 975691839; 793248598; -1; -1; -1; -1; 966586758; 433897367; 580471649; 421710614; 833540556; -1; 407314728; -1; 646905209; 81167006; 736471849; 579801254; 362247035; -1; 961759293; 698788214; -1; 866179220; 779723442; 291341738; -1; 724624638; 825992217; 706022324; 245242471; 234325895; 469734905; -1; 82094602; 286595418; 412222795; 860316106; -1; 957536382; 377157358; 941251776; -1; 963649387; 923546444; 23636053; 550628982; 748320762; -1; 672503770; 752149420; -1; 545736967; 872355339; 628282881; 263737766; -1; 92100523; 421432335; -1; 575340834; -1; 537934838; 776470500; 245482480; 346237578; -1; 610350466; 565964304; -1; -1; 315143985; 898872333; -1; 466774476; 661640770; 231462370; 83156846; 857910487; 419863510; 836644760; -1; 429057617; -1; 8368599; -1; -1; 845466352; 653709345; -1; -1; -1; 723196243; -1; 622275782; 8043904; -1; 493163844; 357617341; 78577187; -1; 392497290; 26216002; -1; 157363969; 286627267; -1; 499165411; -1; 160761808; 789264381; 230830138; 727585127; 191558103; 126962930; 10091142; 324666407; 94910257; -1; 858629931; 817376920; 372626515; 788148817; 130632484; 2303096; -1; -1; 842718160; 13566181; 884753537; -1; 761221789; -1; -1; -1; 645137559; 119256295; 966876032; 23915256; -1; 218738789; 583494193; -1; 657620403; 899659216; 648676489; 829472460; 483144695; 627468271; 740517553; 571005060; 16353702; -1; 26754349; 541949381; -1; -1; 806743384; 646508836; 145782414; 245998199; 597445622; 373790579; 456505143; 928024058; -1; 735081920; 638368417; -1; 132735068; -1; 828618473; 197658282; 926032271; 647724243; 911280890; -1; -1; -1; 182569568; -1; 768207490; 432563052; -1; 22436909; 672785436; 974574759; 463980519; 383908996; 785677393; 604272248; 33840024; 388414279; 87452592; 654191873; 48081016; 629975036; 67518268; 211339975; 290003548; 646232166; 68701888; 262730369; 906167690; 971785990; 733819757; -1; 610417370; -1; 790424568; 728958997; -1; -1; 533479154; -1; 803729533; 570143433; 150074322; 370226789; -1; 16853221; 560782853; -1; 965352893; 303295307; 188369708; -1; 663531055; 176945300; 761571263; 595837745; -1; 15565963; 80785373; 491892326; -1; -1; 481217141; 361446952; 966329102; 687548098; 96191346; 761949718; 965321742; 716333042; 763282826; 48572203; 828476157; -1; 838073448; 361594185; 634051594; 403378653; 806629505; 926996826; 184556704; -1; 476144083; 107801828; 136503479; 157498654; -1; 786752994; 770631731; 453281935; 459701228; 791843450; -1; 519665354; -1; -1; 135822068; -1; -1; 210121099; 44353014; 698222576; 31697709; 887960839; 469374430; 962529515; 677548050; 589608628; 274040502; -1; -1; -1; 7737655; 857979054; 517953589; 372873770; 382508476; 317803858; 756737095; 372614462; 70936948; -1; 241221981; 284875483; -1; -1; -1; 7682237; 942537291; 130604034; 165244143; -1; 575951025; 934577950; 242895857; 471271771; -1; -1; 507098274; -1; 712081847; -1; 175057816; -1; -1; 708459835; 369668678; -1; 375679863; 660270151; 215207529; 890760152; 20114305; 412143667; 43305339; 892827012; 566922682; 305610717; -1; -1; 891023896; 862797396; -1; -1; 572162253; 406391766; -1; -1; 481109402; 897569324; 952064535; 271496954; -1; -1; 768977622; -1; 76522848; 105756356; 325889517; -1; 951548152; 252077881; 694779570; 29499915; 724979283; 53266049; -1; 160516965; 701755687; 949217962; -1; -1; 856303645; 538284576; 984243526; 67456864; -1; 907099486; -1; 11485843; 127544781; -1; 202140713; 646335160; -1; 528192361; -1; 130373196; -1; 765841772; 996124971; -1; -1; 86890264; 88209287; -1; 267052454; 559251896; 206757180; 412270331; 429991311; 164131338; 309689705; 710529087; 578541828; 769678630; 3447198; 838415891; 612381859; -1; 198822311; 286040912; 538257861; 864486496; 487577689; 356678418; 947806531; -1; 711961474; 216062114; 102480222; 116561805; 776377536; 495654159; 489411713; 254339072; 944064582; -1; 214007201; 401594134; 911340763; 322740394; 208185561; 249315381; -1; 52826892; 235967347; 433308251; -1; 963415598; 560469221; 178820601; 27133245; -1; 142062300; 516523877; -1; -1; 885525456; 876255130; -1; 562142151; -1; -1; 909412573; 375888197; -1; -1; 634249536; 980336805; 847954308; 508627969; 828013015; 97961490; -1; -1; 111319898; 880387016; 604216725; 401773449; 559919179; 362902361; -1; 142392541; 505542923; 665702081; 539617036; 747203199; -1; 88186495; 434359393; 21471921; -1; 793794376; 757377661; 732523849; 233757181; -1; 763797431; 768885852; -1; -1; 943682793; 620009646; 373988660; 477201320; -1; 522126953; 533667039; -1; 92782399; 273563120; -1; 27346286; -1; 418700785; -1; -1; 337197694; 2527165; -1; 517832767; 184117064; 831237797; 152665286; 277169465; 914210560; 770928287; 495584632; 615564194; 713473235; 82608523; 427583904; 647341259; 636143453; 351140117; 643279525; 403665686; 46634091; 37899800; 631280255; 356143396; 664979271; 487488100; 846900301; -1; 869005454; 824842969; 941319742; 28417813; 209198853; 985650154; -1; -1; 289514591; -1; -1; -1; 358352201; 675904984; -1; 436282943; -1; 433355502; 264758278; -1; 421179665; -1; 97176292; 560626627; 145777788; 409502533; 61480627; -1; -1; 794170068; 765870381; 106174024; 863131434; 231566820; 853586099; 532872757; -1; 488657225; 249184602; 763751090; 616630834; 947507086; -1; 874828757; 953328033; 971895980; 429111042; -1; 280751440; 608631975; 897119391; 699789621; 438121270; -1; -1; 834467354; 965441225; -1; 253942127; -1; 329467200; 925126709; -1; 662918133; 358975085; -1; 504488406; 715067263; -1; 883715991; 947765167; -1; -1; 893761607; 721952157; -1; -1; 911594439; 339969128; 305358831; -1; 201007535; 86910707; 76366790; -1; 589166206; -1; 253578700; -1; -1; 128544116; 756516939; -1; 794735699; 232643055; 504461863; 225564910; 244158536; -1; -1; -1; -1; -1; 69209812; 456931112; -1; 85447733; 480967923; 238108452; 602113413; 672933398; 501014651; -1; 687792994; -1; 48348844; 896390449; -1; -1; 388750433; 621933791; 609962308; -1; 518352536; 962890453; -1; -1; 207471998; 535270204; 933362454; 162103953; 623457050; 537019962; 474480540; -1; -1; 916192725; 465719047; -1; 510002512; 52285681; 541436811; 631845035; 711254808; 617984703; -1; 851322680; 879789608; 600999765; 245020123; 764349899; -1; -1; -1; 796149979; 426395670; 151795726; 280198738; 686843698; 42306913; 666814747; 263948023; 9519391; -1; 490802646; 136701699; 142796649; 879960022; 986309289; 377005096; -1; -1; -1; -1; 428295880; 266167296; -1; 855330213; -1; 875440400; 484795831; -1; 402129043; 602063500; 137878053; 467117346; 833648670; 865115999; -1; 319166683; 974492051; 963700190; 718715834; -1; -1; 998408056; -1; 961576537; -1; -1; 339056201; 756882618; -1; -1; -1; 237407267; 460622502; 341305947; 759341649; -1; 168283816; -1; 464607460; 960265788; 927452093; 686297136; 419596623; 532081743; 552226136; 420955953; 130440372; 525081382; 600228314; 228901991; -1; 395067027; -1; -1; 800747164; 937250266; -1; 342534017; 361975903; 939503341; 654844884; 894254154; -1; -1; 152394824; 9190316; -1; -1; -1; -1; 394257855; 791137688; 117689328; 3624331; 461856372; 322080130; 75185887; 568443555; 472937144; -1; -1; 24685842; 578229238; 243671530; -1; 78723186; -1; 186667906; -1; 896408875; -1; 133531721; -1; 971178872; 881668547; 117446311; 447405635; 549730264; 538517837; 460788406; -1; 64858321; -1; 617804905; 176734867; -1; 452577227; 119247629; -1; 707072956; -1; 63512718; 635174809; -1; 730620220; 894605053; 446465511; 170024130; 856805683; 7288622; -1; -1; 803434859; 336912946; 564957476; 243245339; 138784253; 664413295; -1; 565425259; 896728467; 60034176; -1; -1; 333192988; -1; 576375566; 433826154; -1; 777383559; 922268509; 735646648; 677641094; 107642115; 296988615; 589525795; 773832537; 727078020; 230316179; 547129609; 903519435; 458324745; 558075127; 426559526; 207796484; 786899288; 371165469; 929075972; 482931577; 816756449; 602247522; 931081493; 724249823; 476178599; 261092069; -1; -1; 676999624; 188578593; 236273550; 563302873; -1; -1; 356857010; -1; -1; -1; 772208179; -1; 870252541; 373702063; 865655546; -1; 459944984; 918358270; 30993427; 841688782; 818945929; -1; 906050461; 251499605; 995063478; -1; -1; 719204230; 815250021; -1; 385332588; -1; 908111602; 475859588; 225092710; 156906022; -1; 292962953; 276638587; 592832214; 768309516; 130101638; 769996780; -1; 933141098; 523671616; 898664519; -1; 241939902; 7812393; 809409714; 154191232; 653933274; 46736035; 875665041; 951243018; 336898181; -1; 71832556; 885635243; 244786517; -1; 346122824; 720757047; -1; -1; -1; 39256114; -1; -1; -1; 948967151; -1; -1; 963436615; 907782079; 123118350; 980059373; 491143476; -1; 147704500; 674240434; -1; 167258968; 789830504; -1; 786150375; -1; -1; 659295029; 321574167; 815582512; 444784794; 171117729; -1; 292819030; -1; -1; 852058490; 668865708; -1; 774689492; -1; -1; -1; 120339334; 592244350; 451783963; -1; 981392752; -1; 374962316; -1; 407933075; 279116883; 981314753; 593690101; 451342681; 877373285; 909851544; 647099461; 636451160; 588196740; -1; 739740659; 735269751; 302548557; 140401856; 456195612; 585024088; 427229025; -1; -1; -1; 484329617; 728197647; 553894036; 153165737; 505857758; 546154212; 827753209; 871607470; 123642924; 485951775; -1; 472098101; 677547566; 145603808; 116578917; 289759504; -1; -1; 177091336; 642346766; 51174627; 450844471; -1; -1; 930756595; 776432732; 136857951; -1; 77994040; 70829640; 616748624; 617265223; 606678029; -1; -1; -1; 385078244; 506569853; -1; 476393615; 485906587; 34049787; 254534457; 527119042; 13541645; 782738503; -1; 880632315; 823015793; -1; -1; 429746923; -1; -1; -1; -1; 229075816; 213150409; 975082662; 883661405; -1; 465382298; 618408432; 414513074; -1; 880511778; 224707142; 309303462; -1; 298559927; 750643531; 169177218; 512409629; 818016093; -1; -1; 330159869; 134640008; 596212799; 255956968; 448897379; -1; 920352291; 877340125; 766555073; 79380611; -1; 711225813; 755402455; 34509076; 415253389; 833505002; -1; 759053468; 431913729; 866364453; 160760223; -1; 167230080; 805245006; 141465733; 712848087; -1; 226805635; 572003644; 266243236; 587329121; 324746944; -1; -1; 535188882; -1; 201329859; -1; -1; 219825033; 633842854; 582804008; 568109906; -1; -1; -1; 571524785; 582783926; -1; -1; -1; 970141576; 786560485; 762244398; 476482981; 415768554; 251029726; 815148159; 654247337; 522552595; -1; 787484796; -1; 189807457; -1; 138746443; 235805736; 565049794; -1; 567386018; -1; 410976146; 667525441; 920306048; 612253224; -1; 58353199; 706959557; -1; -1; -1; 152902380; 423220704; 549606299; -1; 25555727; -1; -1; 331242332; -1; 380956966; 242301006; 229950956; 955857326; 251957616; 158288763; 241209214; 902288425; 68879255; -1; 56688300; 193847230; 459116482; 610598614; -1; -1; -1; 596314522; 52158696; 347597045; 731974043; 270468609; 698601039; 326514108; 115297127; -1; 817363246; -1; 463682777; 737716625; -1; -1; 12400214; -1; 248797427; 859962159; 145891544; 883261255; 816772415; -1; 313949818; 461106874; -1; 345995848; 222874850; 41773500; -1; -1; 938307340; 509166256; 42969630; 482531300; 49132652; -1; 928662782; 14011618; -1; -1; 941572423; -1; 871032466; -1; 758735238; -1; 428973161; -1; 505948028; 215194788; 612705307; -1; 743333299; 682842654; 670428792; 4698; -1; 464932127; -1; 600299186; 474587303; 75450878; 948658830; 515033920; 982680969; 954333177; 281828532; 386145160; 852829858; 36658391; 607409742; -1; -1; 432562654; 540797752; 44035893; -1; 724602049; -1; 160804903; -1; 357806071; 357365428; 407564951; 328655871; 153410692; 611523031; 294454801; 327889124; -1; 539383972; -1; 840624302; 572894245; 762749358; 627658634; 879670618; 318176197; 166457522; 491864726; -1; -1; 820780099; -1; 983957807; 471683455; -1; 837372347; 454781752; 244134963; 104518183; 277161189; 539390525; 683697990; 312172245; -1; -1; 328397795; -1; 842643909; 511772473; 354960264; 594083342; 358118349; 112253755; -1; 27266846; -1; 872304907; 116561811; 922525761; 978197321; 505343184; 545737374; 166221159; -1; -1; 775324972; 94131281; 511355364; 727203146; 970873327; 457102867; 444301702; 595344044; 688792034; 282149811; 893648079; -1; 960250179; -1; 780362662; -1; 887047163; 558732904; 572318095; 748059214; 775215374; 679760404; -1; -1; 710679696; 839813115; 126116219; 70399651; 64566255; 441122763; 381622620; -1; 949903946; 748551726; -1; -1; 589119020; -1; 109703904; 381050031; 397546520; 159748282; 845169524; 815705229; -1; 639708819; -1; 970096620; 774672639; 907872249; -1; 732287100; -1; 960798434; 563701914; 100720495; -1; 351708530; 754337744; -1; 420218926; 686953406; 971762347; 910121534; 517480508; -1; 144711114; -1; -1; -1; 293229158; -1; -1; 986031037; 813511183; 39849505; 190370377; 642847445; 501595145; -1; -1; 993839714; -1; 785463516; -1; 106047239; 879702441; 759856721; 989315418; 53651173; 345200484; 105849765; 553659412; -1; 984984986; 985494692; 466314031; 93832096; 395360389; -1; -1; 277470572; 275351986; 47598473; 667784909; -1; 124505912; 244185557; -1; 457841247; -1; 685410175; -1; -1; -1; 82233764; 328855175; -1; -1; -1; 312866888; -1; 592675261; -1; 252314455; 609547967; -1; 71593689; 220342626; 827048056; 984736412; 889111158; -1; 108520212; 880060474; 536910483; -1; 782736506; 988406921; 529652490; 941390054; 489913363; 387633792; 619755640; 609673734; 953959599; -1; 976545230; 695991146; 866072864; 149472379; -1; 503500131; 752714411; 398877359; 40544230; 647053426; 336644362; 64211493; 447586673; -1; -1; -1; 737623786; 976089140; 684769963; 843613354; 531808363; 309324689; 262164856; 712041609; 491355134; 314021837; 274022053; 518805660; 514138758; 747855834; -1; 895453166; 475607969; 392311548; 679757989; 761184060; 106161181; 626975309; 350659495; 681834977; -1; -1; 456075703; 200249665; 989788211; -1; -1; -1; -1; 318140753; 261979103; 407037014; 842521248; 540254353; -1; 97376710; 291182981; 405100903; 359836193; 548447338; -1; 552773230; -1; -1; -1; 620900678; 711759971; 822503154; 514847382; 58952539; 901842954; 434635203; 486017477; 988634012; -1; 455169005; -1; -1; -1; -1; 359880003; 582958821; 291189791; -1; -1; 127593711; -1; -1; -1; -1; 201325609; 310203631; 148903990; -1; 521631655; 305765652; -1; 495345051; -1; 316807613; -1; -1; 522227924; 491255799; -1; -1; 257917538; 8519649; 859025359; 393975647; 125787904; 629137533; 77307662; 441500579; 689756308; 309585113; 565140165; 777032641; -1; 841738646; -1; 614801322; 427034997; -1; 758887145; 388025524; 134770602; 427921301; 720135371; 705812514; 275811796; 315095661; 39726229; 721316447; -1; -1; -1; 655586490; 866701717; 599108444; -1; 184835526; 312491058; 185652213; -1; 484131902; 406898594; -1; 235082359; -1; 712897247; -1; -1; 140406731; -1; 761991327; -1; -1; -1; -1; -1; -1; -1; 585746215; 440665163; 358494912; 230778088; -1; 639337434; 916862761; 885276849; 748710084; 769943611; -1; -1; -1; -1; 879324778; 21442191; 626324608; 421784128; -1; 172896763; -1; 472840488; -1; 57780903; 250320674; -1; 752544820; 576297826; 245649429; 61559530; -1; 559980115; 238011525; 508706780; -1; 564623389; 492491005; 420237618; 47679482; 598948413; -1; 673338733; -1; 202006781; 153229173; 803599431; -1; -1; -1; 241163388; 571262500; 683156709; -1; -1; 57530871; 951383791; 80164820; 925995880; 712729347; 743076596; 823618853; 247201708; 814965553; -1; 112904881; -1; 427162465; -1; -1; 199990075; -1; 977042847; -1; -1; -1; 785597502; -1; 488868830; 821243755; -1; -1; -1; 6335346; -1; 592767749; 759735749; 669354196; 872591619; 185638702; 106592740; 193316200; 529575624; 278675173; 519781936; -1; 125683949; -1; 573176478; 739464155; 861706925; -1; -1; 330195213; -1; -1; 521550058; 180438149; 335701109; 520468129; 40013603; -1; 385132265; 680442760; 881732332; -1; 832551042; 578855466; 623038334; 538456024; -1; 494356311; 180264034; 951665224; 5953224; 107464528; 232559290; 633420896; 66485291; 583720690; 604990024; 358644373; 309436483; 905943790; 564253715; 175434541; 975892747; 35423064; -1; 125159829; 563792288; 546575743; 438413407; 361563715; 114356686; 104771802; 831026012; 543595163; 827600241; -1; 489286752; -1; -1; 314209372; -1; 28965979; -1; -1; 817961879; 283422294; 644451053; 13359585; -1; 514191724; 338382828; 498830678; -1; 322359592; 788113009; 568146906; 331919741; -1; -1; 62232629; 135235870; 363725439; 744341963; -1; 938845283; -1; 43231041; 746769845; 766168818; 590870018; 268424334; 821099807; 970207786; 490144429; 511931180; -1; -1; -1; 787060841; 256061503; 116417649; 921505830; 200070931; 123025683; -1; 809447522; -1; 377168476; -1; 117478534; 572307725; -1; 512597749; 912417196; -1; -1; -1; 934015773; 659833138; -1; -1; 548003417; -1; 171189225; 854646648; 755731392; -1; -1; 686688931; 838749091; -1; 955420075; 395005742; 342874344; 39708513; 964791747; 637131589; -1; 882339420; -1; -1; 400016978; 101733646; 826106515; 894551642; -1; -1; 236798458; -1; 380414395; 202377606; 647872334; 395157525; -1; 657765846; 110074158; 162314484; 747182743; 758856005; 943945011; 733045243; -1; -1; -1; 819693206; 762619242; -1; 92900829; 799461975; -1; 595686035; -1; 773602063; 374011768; 835479892; 725562597; -1; 163702504; 268747929; 894924974; -1; 55076083; 101196492; 812704380; -1; 813400839; -1; 376481171; 629207121; -1; 614437807; 964722540; -1; 809158414; 94366074; -1; 606005055; 405208789; -1; 135075349; -1; 515081357; 561327134; -1; -1; 292998077; -1; 232842754; 861967007; 889178941; 339246321; -1; 19376764; -1; 779601245; 144909252; -1; -1; 957148007; -1; 950393815; 794112345; 409750004; 844376436; 532899125; -1; 546344754; 360081616; 632694642; 366008019; 822297870; 891025013; 314084205; 95703634; 596233879; -1; -1; 365798802; 163464505; 522424846; 131900583; 185749470; -1; 89695297; 434956235; 348555878; 814673335; 176607348; 899267326; 624655199; 325571943; 669136775; 596241365; -1; 701499138; -1; -1; -1; 729493693; 241168274; 385074312; 730163040; 621801586; 743076318; 552298984; 823863232; -1; 11251323; 734653972; -1; 816647049; -1; -1; -1; 668076477; 46780206; 298966717; 321022259; 264638319; 267809259; 127367264; 216133663; 144931324; 411845996; 740864113; -1; 293230429; 487163989; 250986317; 882105323; -1; 443616752; 666074782; 399310919; 706746977; 439122701; 21096421; 867177679; -1; -1; -1; 905066958; -1; 943073227; 953989059; -1; 296118647; 673561556; 503583731; 727958701; -1; 45294953; 579487580; 782786956; -1; 934837474; 717979155; 877028018; 87495525; -1; 995991158; 519376491; 360630038; 108235194; 70273805; 886555531; -1; -1; 109305992; 123204971; 19546231; -1; 528634852; 822143395; 114626054; 915926792; -1; 130400081; 765081984; -1; 941328196; -1; 807986530; 305373053; -1; -1; -1; -1; 735518700; -1; 592708714; 429278333; 865036980; 300896017; 525027808; 716885527; 576227603; 490051052; 320638397; 270907746; 840517486; -1; 523402763; 272421293; 349094407; 255507310; -1; 815426279; 307399699; 601805428; 133758010; 748370601; -1; 57214181; -1; -1; 365684153; 825557170; 980587977; 770411886; 265324888; 403621539; 105898000; -1; -1; 215448678; 622074424; -1; 227819397; 511723407; 546847772; 692141579; 446368947; 949200652; 720368098; 344287115; -1; 456114603; 649696182; 441705896; 55644946; 55528520; 307610562; 256209261; -1; 768614241; 310170961; 802152635; 168149007; 288949484; 498228302; 592335169; 216002379; 514942378; -1; 944067499; 531467284; -1; -1; 936769068; -1; -1; 118775501; 495880439; -1; 846329013; -1; 974409828; 689070770; -1; -1; 820631789; 133588952; 418939214; -1; 279173898; 517970487; -1; 918483356; -1; -1; -1; 979546328; 782611341; -1; -1; -1; 927222327; 976608871; 796642252; 640760882; -1; 230751593; 704443022; 352248804; 687145806; 598837306; 555168626; -1; 809428311; 660667570; -1; 989508617; 578184960; 215860955; -1; 15746381; 602495338; 582463277; -1; -1; 68145124; 42534007; 527194090; 758311799; -1; -1; 743217090; 878349527; -1; 981179014; -1; -1; 280718037; 59176097; -1; -1; 342811806; 515125786; 75428669; 968898578; 793944850; 362510354; 180470890; 299550759; 4956728; 921158251; 94794178; -1; 178823633; -1; -1; -1; -1; 475399287; -1; 240315458; -1; -1; 610851950; 954855193; 414937674; -1; -1; -1; -1; 852117777; 116128344; 283288434; -1; 932876689; -1; -1; 572131572; 882821125; 454890160; 461212336; -1; 900996756; -1; -1; -1; 407892882; -1; 392331505; 354660558; -1; 648778030; -1; -1; 208520834; 528690164; 861579058; -1; -1; -1; 973574489; 550771260; 653391207; 151251356; 334405514; 84966858; -1; 969267998; -1; 99549084; 714246990; -1; 908888389; 124431130; 387609207; 67789624; -1; 326420423; -1; 729269425; 827068698; 589089975; 359492099; 645339304; 553914732; 197367531; 686611346; 523648169; 236844265; 845630207; -1; -1; 601710720; -1; 173091209; 488863512; 5025814; 939922176; 874670507; 78173896; -1; 539241276; 912212510; 946135600; 873835924; 549063684; 65701564; 573734914; 832474073; 234891731; 403692829; -1; 314128600; 809728368; -1; -1; 852165760; -1; 221191368; 119103340; 586100317; -1; -1; 452475970; -1; 649692128; 553520230; 373207443; -1; 910977350; 178642542; 266892157; 985280042; 654823073; 684580106; 122008670; -1; -1; -1; -1; 692909084; -1; 525123591; -1; 506293606; 124853609; 518313656; 696699058; 377674971; 575270139; 686502911; 495495979; 130404031; 292444761; -1; 698657790; 394374489; 145743356; -1; 902289571; -1; 333275276; 938272224; -1; -1; 32250263; -1; -1; 421258186; -1; 496209080; -1; 207272862; 540340364; -1; 635051129; 293481372; -1; 757828827; 232572188; -1; -1; 53697383; -1; 524955782; -1; 495542371; 644491555; 929069434; 943636844; 877234874; 499951028; 336472907; -1; 734026158; -1; 733943683; -1; 449026329; -1; -1; -1; 343920073; -1; 321193592; -1; 192027592; 869887988; 567368982; -1; 212184345; -1; 243246698; 841224783; 902106763; 379830455; -1; -1; 448184461; -1; 705754401; 426010326; 319480716; 841831832; -1; -1; -1; 86348542; 754609158; 157737135; 593995066; -1; 875255170; 898670942; 678972353; 237039822; -1; -1; 190386845; -1; 178804138; 431782132; -1; 271867445; 903733320; -1; 202107667; 455851315; 814278101; 685857700; 70401299; 363831808; 306201825; -1; 748085403; 134603273; 588445224; -1; 827652175; 641962676; 876283121; 728050382; 250593578; 56149167; 631437694; -1; 523829811; 332756657; 911003355; -1; 212790682; 911669360; -1; -1; -1; 981786078; 424027536; 391824017; -1; -1; 748050855; 498196192; 143917915; 650824584; 974738765; -1; 797274017; 490203438; 391576229; -1; -1; 524350720; 662462631; 373832647; -1; -1; 163616130; 821925757; -1; 452490884; -1; 902103104; 419093209; 487911955; 957492627; 475908349; 307870082; 463585493; 153656966; 241758161; 433762284; 872364611; 823637034; 959666827; 401788448; 636814; -1; -1; -1; 46683087; 161306407; -1; 544707375; 681656540; -1; -1; -1; -1; 334060071; 823560350; 489008967; 415365779; -1; 726690124; 669044555; -1; 611031496; 179607681; 457216550; -1; -1; 35594287; 457409523; -1; 783896677; 69876892; 891271059; -1; 312167242; 795427539; 391200645; 958368071; 247992826; -1; -1; 345667983; 994351059; 329826790; 267695159; 859731363; 761813499; 785694495; 650352967; -1; 843353719; 139702305; -1; 97120725; 540748595; 558032833; -1; 843354528; 153174242; 30022793; 597709097; 531401863; 835743777; 186528160; 654778845; 412056455; 957951741; 643882028; 850358315; 745493083; -1; 683876645; 117082422; 296343974; 343436494; -1; 952549153; 682303570; -1; 986636382; 970226633; -1; -1; -1; 76902708; 952060984; -1; 883796153; -1; -1; -1; 277567704; 30570856; -1; -1; 182564721; -1; 475472543; 744815856; 55976429; -1; 219457882; -1; 263704256; -1; -1; 694295690; 631353117; 114690163; -1; -1; 763933189; 294935098; 231147495; 829150147; 188886159; 637440179; -1; 981973793; 810703003; -1; 36928013; 93289434; -1; 57688431; 45684285; 309315411; -1; -1; 524569742; 786783587; -1; -1; -1; 617924023; 947757396; -1; -1; 481278742; 516444571; -1; 596087230; 742314923; 454188395; 263304234; 468936880; 178864386; 239365498; -1; 907147731; 889045947; 671465730; 263112453; -1; 647075798; -1; -1; -1; 137423053; 636714258; -1; 113197030; 52602566; 517724533; 601325338; -1; -1; 100004828; 119751151; 888864229; 782677103; 449758532; 415709274; -1; 871765889; 557426017; 935570574; 486341432; -1; -1; 937435270; 413688748; 782990500; 521088142; -1; -1; -1; 872559917; 205980038; -1; -1; -1; 870681113; -1; 735216159; 521070724; 718035173; 608931301; -1; 454771817; 430444437; -1; 405275261; 797544080; -1; -1; 309242615; 707212627; 316775969; 205676406; 505713180; 810656677; 265528272; 988308204; 246065960; 335646; -1; -1; -1; 290133617; 558777994; 405016771; 331410281; 933175379; 377542410; 780731854; 874313180; 784004733; 509942773; 102122367; 66983121; -1; 760708556; -1; -1; -1; -1; 695732330; 263456180; 105604368; 570295596; 172740035; -1; 885556618; 28367384; 815021316; 52112882; 588784122; 237631328; 974614368; 325471437; 825745735; 345417691; 685071436; 620294980; -1; 807256214; 815007904; 311715627; -1; -1; -1; 269448009; 317933815; 491945171; 826141256; 623740845; 982200531; 703953027; -1; 207601429; -1; 725904140; -1; 986395164; 607120240; 695277036; -1; -1; -1; -1; -1; 566720825; 944605009; -1; 418432221; 789432701; -1; 368463392; 189988014; -1; 531387734; 707766534; -1; 693143419; 112529901; -1; 880927689; 936981907; 553937113; 554743548; 403282339; 954647744; 863756211; 581133659; 381578364; 470092290; 14371025; 872644336; 755738172; -1; 527602282; 625784574; -1; 225315174; -1; 357369538; 58450880; -1; 319818641; -1; 6047258; 305688586; 275246665; 702112823; 766276271; 118432284; 508102090; 946119722; 490964831; 90593901; -1; 449010622; 950595911; 822814709; 137406685; 656370186; 723359796; -1; 538674722; 13533091; 882369819; -1; 998677523; 219761548; 384518766; -1; 918208010; 666761633; 164867710; -1; -1; 572624219; 752653094; -1; 580744147; 584513026; 242317040; 337951053; 831209807; 196432914; 928808874; -1; 653163781; 460481964; -1; 653346286; 924140788; -1; 263744780; 207116172; 870215208; 466053406; -1; 764140114; 834175060; -1; 225905215; 143361288; -1; 218017411; 489692543; -1; -1; 256900164; 818054229; -1; 956143017; -1; 401804166; -1; 483499390; 995021382; 724927024; 909056138; -1; 547705774; -1; 139841477; -1; 785262847; 330964107; 598460339; 537536903; 391396810; 375098303; 15354788; 535849877; 55412765; -1; 667601603; 131044533; 13264182; 406460057; -1; -1; 759347309; 398846100; 431736601; 254530523; 178658741; -1; 307648442; 525621517; 345681003; -1; 960618350; 518728769; 378934545; -1; 127779047; 116291996; 926481965; -1; 635816385; 890084755; 184975869; 883026594; -1; -1; 607344034; 47863644; -1; 746271235; -1; -1; 503888591; 904604166; 113243567; 896457161; 600050939; 354670315; -1; -1; 590350092; -1; 773145589; 614003604; 719128198; -1; -1; 763384820; 5898687; 788372345; 579576675; 779402687; -1; 376535202; -1; 762674077; -1; 360164790; -1; 126256497; 49913322; -1; -1; 180630179; -1; -1; 641006376; -1; 388382979; 336214304; 568174445; 307565440; -1; -1; -1; 379371692; 855228777; 907707986; -1; 54779553; 849102651; 540192226; -1; 826800047; 939456808; 795649346; 338759765; -1; -1; 888998623; -1; 22693085; -1; 791359810; -1; -1; -1; 459835593; -1; 543837346; 707615138; 75867635; -1; 144388536; 708538090; 390261766; 425133348; 138605541; 659133641; 689061240; 804867232; 720833993; -1; 390071565; 931963342; 790423320; 669625025; 662623857; 221073658; 643608108; 349211801; -1; -1; -1; 609085143; 741934563; -1; 723846738; 385940546; 207035360; 241570720; 160853186; 149086928; -1; -1; 766053861; 442279263; 150918877; 724512528; 737923039; -1; 549080577; -1; 611864145; -1; 420507579; 133597933; -1; 892273775; 766073812; 905444817; -1; 536130983; -1; 774328108; 732589174; 741559733; -1; 628401508; -1; 861722902; -1; -1; 724787908; -1; 401759860; 882175727; 467891995; 418133420; 723686620; -1; 462202765; 456207058; 627554790; 790818195; -1; 585850379; -1; -1; 530030342; 131777411; 942273236; 4304983; -1; 581053940; 587686851; 383230129; 354894892; 216824344; 340445831; -1; 783248218; -1; 967004312; -1; 712223504; 531731463; 14993677; -1; 549023955; 112489785; 931952630; 498220459; -1; 498116010; 333544574; 670780095; -1; -1; 153992409; -1; -1; 676857122; 465615460; -1; -1; 756263018; 769145739; -1; 940972118; 272793824; 232205484; -1; 4549785; 527573747; 570885255; -1; 367446415; 541667620; 184842204; -1; 845944226; 520955478; 645594912; 175209865; -1; 286295295; -1; 348238628; 622484223; -1; 249000765; 223610063; -1; -1; 319440005; 197154560; 286511270; 299053993; 832707809; 981644271; 535780639; 137621984; 638385268; 128205475; 31015942; -1; -1; 171410696; 343781103; 380455388; 62732499; -1; 997208540; 465565412; 259174567; 672921315; 964795552; -1; 87354467; -1; 847266303; 506794559; 643631686; 353342778; -1; -1; -1; -1; 303606289; 838385741; 832820520; -1; 44429415; -1; -1; 494052620; 213462196; 752484228; 877341202; 249084144; -1; 233360211; 411778194; 113714931; 711652878; -1; 806136266; 998816112; -1; 751000561; 889521333; 44209719; 209988980; -1; 647046725; -1; -1; 967668802; -1; 772831243; -1; 727005169; 624566213; -1; -1; 511224101; 653273250; 11074776; 606005250; 712785079; 356726828; 852997894; 116400566; 805485955; 692704699; 167668229; 135322069; 51358501; -1; -1; 711572084; -1; -1; -1; 212185972; -1; -1; -1; 145785185; 558155053; 180942964; 300998949; 830718963; 760600636; 167507919; 245931497; -1; 675367960; 899799361; 246382437; 196920708; 165904986; 388367204; -1; -1; 576960512; 205489052; 21005244; 128445471; 327591472; -1; 222966858; 883009859; 337738687; -1; -1; 383849357; 879627895; 403634696; -1; 20888536; 182965630; 997718385; 237530024; 967797577; 995094162; -1; -1; 522860327; 991910956; 64845824; 441934469; -1; 668017570; 622869049; -1; 253879624; -1; 454143678; 977121441; 296153443; 495118738; 975273230; -1; 417501922; 137167537; -1; 218745384; 975932080; 968897901; 604735860; 133569868; 570743647; 650238870; 865091480; 67380730; 252010427; 901025294; -1; 817376093; 972254155; 800834193; -1; -1; 250183394; 599738460; 845790280; 361162743; 308449825; -1; -1; 637375908; 28088798; -1; 813732969; 862380811; 532457207; 760078469; -1; -1; 135325599; -1; 476430448; 951630096; -1; -1; -1; -1; -1; -1; 198159426; -1; -1; 406185017; 323721197; 546346631; 526247078; -1; 225214666; 465709766; 73813626; 757462069; -1; -1; 702779972; 563578934; -1; -1; 441238657; 232916614; -1; 478436150; -1; 692524292; 840053745; -1; 142674779; 914088519; 367414420; -1; 847849673; 283574869; 340376082; 708944106; -1; -1; 354332314; 923120786; -1; -1; 833397955; -1; -1; -1; 346621384; -1; 906602500; 863585041; 817527573; -1; 636957211; -1; -1; -1; 929535725; -1; 419214470; -1; 859581671; 83612412; 367513411; -1; 623587293; 989396023; -1; 366510193; 164617777; 754843099; 694931818; 776386341; 584154062; -1; 731095555; -1; 923543752; -1; -1; 334246897; -1; 458229122; 850681979; 555234910; -1; 64399903; 849885023; 561575676; 891845993; -1; 305431134; 78877977; 152011828; 646997263; 256558636; 541313738; 406503601; -1; -1; -1; 874127739; 310310975; 348288116; 838163219; 136935950; 45482458; 300863189; 157315445; 856698463; 658939196; -1; 622111551; 381428497; 769789341; 8369006; -1; 468182937; -1; -1; 580063753; 910247366; 616735507; 684277716; 399464990; -1; 64921619; 256599138; 16213956; 691474778; -1; -1; 47071702; 421008488; -1; 515165233; 89618444; 396568705; 10390392; -1; 382522428; 536231817; 143921225; 855756886; 917669871; -1; -1; 595997948; 775766932; 234811743; 858451386; 105862349; 938455460; 817755853; -1; -1; -1; 306133252; 837663414; 552125897; 223696196; -1; 547620656; 943437503; 689647823; 927222531; 638935820; 813339428; 637349775; 540890634; 862551019; 832303110; 303251605; 602039513; 559930598; 885182004; 765482194; 642746415; 696817971; 338906144; 898469328; 564300824; 440501742; 235133069; 766642849; 4485148; 17909568; 583323853; 102312710; 68048377; 902829465; -1; 371104487; 295730223; 608789744; 48560777; 295344127; -1; 246327066; 712544709; 295396580; 15057509; 720487858; 225756163; -1; 427304503; -1; 382369906; 871559202; 954499734; -1; 459759775; 442200737; -1; -1; 917828607; 103465176; -1; 414633804; 492909822; 419568679; 979787531; 398255574; 803920760; -1; 218172330; -1; -1; 884781154; 947408170; -1; 589549882; 123978932; -1; 124391997; 394995747; 562240554; 454754850; -1; 848275920; -1; 332447835; 687368574; 420627704; 112005084; 646683082; 129249640; -1; -1; -1; 133206641; 975689272; 434807262; 924289627; 281506789; 433811835; 444698829; 530296067; -1; -1; -1; 931416946; 498945179; 787515460; 306894900; -1; 828359560; 673583246; 217088949; -1; -1; -1; 600280195; -1; 600907224; 623361514; 174130662; 858059277; 95645517; -1; 74873571; 238335165; -1; 792703723; 75516721; -1; -1; 749273877; 13337372; -1; 331006511; 163173554; -1; 164064432; 568011975; 280175848; -1; 884617001; 600886969; 973764232; 926670203; 165148794; 12149836; 67491619; 441532678; 899588159; 881446200; 283136756; 440438789; 651784014; -1; 322311643; 432203453; 269456036; 554766113; 522787759; 972222008; 889098940; -1; 767178599; -1; 393525569; 933302361; 487018226; 891267785; -1; 763477905; 952638812; -1; 714260448; 70246024; -1; 511607666; 422135009; 172308845; 60862633; -1; 644555573; -1; -1; 481375581; 468608020; 435724248; 680261537; 952324465; 568508431; 775324635; 808459350; 945477978; -1; 315279050; -1; -1; 44290383; 367133243; 538423714; 23278031; -1; 755416914; 491237319; 904439581; 733354967; 847054775; 394153264; 140140486; -1; -1; -1; 680963922; -1; 591361589; 362312422; 58519905; 467920178; 829249484; -1; -1; -1; 412504918; 323717836; 638581845; 830130520; 261803940; -1; 278702977; -1; -1; 557508699; 701038994; 717140062; 376931162; -1; -1; 200320027; 635026961; 942456222; 424631186; 690296343; 82752655; -1; -1; 657974850; -1; 317045301; -1; -1; -1; 842882805; 328979489; 496287953; -1; 247714055; 989060550; 848017287; 526453607; 533688203; 928561177; 550903220; -1; -1; -1; 207310634; 971779585; -1; 875836321; 448230447; 723268266; 303853719; 689354436; -1; 339782437; 617254843; -1; 784392862; -1; 575412144; 401675658; 286904592; 255693757; 387101309; 924260940; 414401158; -1; 157540566; 575848527; -1; 568363764; 312827895; -1; 460731335; 559383165; 771597349; 473671991; -1; 21811304; -1; -1; 247833160; 151052633; 106644897; 914002038; 995656982; -1; 167427648; 105106218; 175738927; 177209599; 407491775; 795318683; 149061332; 132624937; 403742965; -1; 180829521; 419146546; -1; 187817455; 803154461; -1; -1; 97458596; 228928805; -1; -1; 690426244; -1; 912222868; -1; 858710732; -1; 595756009; 882662384; 71339624; 126506715; 474670508; 939832501; -1; -1; -1; 369525814; 365265501; 858504821; -1; 435676963; 25181605; 819537070; -1; 954721026; 107870209; 457240465; 916604310; -1; 167345015; 12279326; 809676488; 331497698; 561792174; 435132921; 983448435; 749553455; 274546176; 579003775; -1; -1; 795864873; 728607055; 70087864; 421936812; 677211422; -1; 479613466; 755266859; 421858797; 253987821; 105905777; 781259494; 850665286; -1; 871434557; -1; -1; -1; -1; -1; 393667689; -1; -1; 742818670; 167269634; 735908840; 181347788; -1; 163025764; -1; -1; 290507389; -1; -1; 753579768; 618452248; 774371460; 752445881; 652571547; 37508921; 734344346; -1; 383192730; -1; -1; 148396221; 405720974; 840054200; -1; 836858587; 557370058; 565190190; 497365171; 491444746; 637980741; -1; -1; 791040048; 346794559; 496897875; -1; -1; 630571326; 922467129; -1; -1; -1; 482982222; 667952527; 75417338; 108964578; 595469798; -1; -1; 937545128; 698493319; 611975548; -1; -1; -1; -1; -1; 604073975; 15211865; 226272652; -1; -1; 602838373; -1; 892046537; 616844020; 954377283; 128852530; 779039798; 369762983; 729013132; -1; -1; 814296574; 686668459; 908400149; -1; 818352787; -1; 223222777; -1; 631037372; 42966250; 785736219; 60115613; -1; 165718054; 429849741; 623286024; 809398437; 958371228; -1; -1; 626500909; 381513188; 477067279; 797807206; 699750056; 943704151; -1; -1; 863914535; 375349985; -1; 655266365; 754106750; 93727676; 306587403; 793413090; 209854808; 607564304; 203394548; -1; 756810540; 850053373; 650536556; 503689389; -1; 52404795; 215710011; 668906565; 518427592; -1; -1; 304925828; 46358070; 14404072; 373360130; 415308599; -1; -1; -1; 861021384; 315396393; 681440800; -1; -1; 598476544; 170098936; -1; -1; 938467860; 458129506; 86714655; -1; 675041841; 895767053; 755191398; -1; 921792972; -1; 124114134; 854134873; 232229350; 903736021; -1; 740378995; -1; -1; 857806143; -1; -1; -1; 945061383; 780525296; 811173535; -1; -1; 1191403; 179012677; 215199192; 819351734; 705563019; 111736702; 780908862; 317423543; -1; -1; -1; 373503090; 908444323; -1; 357531194; 835881226; 545584438; 736637760; 226491690; 796946319; 41385043; 372796894; -1; -1; 65159179; 108038729; 99711877; -1; 277867760; 368655802; 300823567; -1; -1; 312386823; 361118482; 754522711; -1; -1; 704479900; 579414318; 733680845; -1; 461017989; 336147192; -1; -1; 103469930; 345665121; 638143492; -1; -1; -1; 417574482; 190272972; 900544302; 444942704; 84695681; 818029345; -1; 524225930; 662883857; 307268623; -1; 820614277; -1; 124618987; 737236660; 54597878; -1; -1; 590250325; 797554929; -1; 133706376; -1; 155405722; 378474053; 130158222; 412975822; 840617956; -1; 896725428; -1; -1; 794898894; -1; 280634012; 358110480; -1; -1; 513624960; 595532046; 977604600; 838293142; 583889707; 455016321; 788652831; -1; 780112933; -1; 703770779; -1; 758508829; 980383330; 805428465; 199575221; 554339531; 425579298; 164484798; 487031583; 409577148; 21244455; 141357615; 128326174; 808290843; -1; 980023857; 507174056; 115193658; 82376604; 573651448; -1; -1; 58988487; 253252486; -1; 338181879; 596748060; 984679886; -1; 909115573; 610944762; 530639633; -1; 328777703; 760301918; 346642749; 39940357; 395715119; 685074276; 884971449; 993040605; 766574891; 626245411; -1; 43908575; 676996869; 203561102; 76498755; -1; 505455442; 169225625; 826691772; 839630899; -1; -1; -1; 570625507; -1; 576668320; 276640375; 175368772; -1; 251987269; 383529488; -1; 462946254; 945825915; 475517356; 931866914; 390372066; 112466945; -1; -1; 964330309; 42324047; 438001553; -1; 606885333; -1; 458692470; -1; 917241260; -1; 690066414; 895146160; 522570752; 937035319; 976591129; -1; 126247301; 195888978; 257303824; 406980154; -1; 315304422; 476496008; 562666412; 987744038; 490545496; -1; 270105598; -1; 912737828; -1; -1; -1; 739686533; -1; -1; 350371695; -1; 639352050; -1; 472821759; -1; -1; 470643203; 236387939; 762051692; 942042156; 129660191; 733507480; 582422927; -1; 809073217; 359129012; 864609040; 364283478; 115595742; 498929907; 817927900; -1; 866931577; -1; 8146172; 880783520; 920423048; 38446865; -1; -1; 67603265; 203608411; 745566725; 392577732; 608956839; 479624769; 341491355; 134011313; 798562299; -1; -1; 51009323; 677278508; -1; -1; 69923966; 965870338; 947877913; -1; -1; 606018742; -1; 844180556; 873196055; 841746339; 46612772; 9957887; 857181602; 546406347; 259730593; 411232068; 732257955; 423415977; 65265165; 236555238; 56906040; 892800182; 114835290; -1; 195304560; 201244255; 968173190; 779394344; -1; 707503015; 38304210; 899853396; 331080257; -1; 126253776; -1; 539405018; 869579417; -1; 74157756; 512619846; 807777989; 253200921; 82700052; -1; 946916932; 548103944; 501348210; -1; 12514361; 567428616; 848320433; 208011315; -1; -1; 83123183; -1; -1; 753200441; 670050523; 631019266; 938668738; 592201431; -1; 825211444; -1; 81094768; 855290359; 905127863; 257188776; 560487076; -1; -1; 291753509; 633395488; 171942610; -1; -1; 40616512; -1; 994747772; 697619432; 755835508; 483510296; -1; -1; -1; 981946839; 318270543; -1; 79522413; -1; -1; 492127981; 421369470; -1; 901135546; 609295209; 774941043; 604575052; -1; 730127675; 993707806; 937768092; 12191124; -1; 257685222; 58350805; 52330626; 527661518; 72130467; -1; 384853839; -1; 946925715; -1; 941900138; 465016083; 656873026; 853679717; -1; 253025265; 7847091; -1; -1; -1; 584798228; 831866671; 808835165; 119251610; 269106492; 938042581; -1; -1; 680695731; -1; -1; -1; 331592096; 931838469; 938770562; 769736082; 15457714; -1; -1; -1; 781986164; 868970443; 610776673; 268829823; 354410508; -1; 921240215; 257697416; -1; 523555587; -1; 563993140; -1; 327950436; 403843257; -1; 795286557; -1; 862528031; 296722318; 203970388; -1; 298376871; 864462487; 239245832; 630164036; -1; 621381440; -1; 51338015; 206113336; 282327974; -1; -1; 841915082; 324862869; -1; -1; 294076772; 571931009; 973640877; 59522564; -1; -1; -1; 267690061; 411577811; -1; 432704013; 818123346; 394870436; 22555518; 170581434; -1; 512707739; 434933014; 588609511; 933216399; -1; 629094031; 606929512; -1; 363512694; 61798483; -1; -1; -1; -1; 55982822; -1; -1; -1; -1; -1; 8702572; 587138852; -1; -1; 784105709; -1; 151730915; -1; 386012104; -1; 443810531; 316084229; -1; 506142418; 488150748; 838099587; 437636493; 290725818; -1; -1; 596564020; 154140284; -1; 716858416; -1; 838790238; -1; 99991731; -1; -1; 225501838; 364299316; 575762071; 77656933; 26446389; 431776722; -1; 757915324; 441369321; 831576884; -1; 22475938; -1; 852695179; 541212110; 941125792; 578373740; 454207466; 408988192; 432541514; 968625561; 320603129; -1; 457299074; 499853519; 987335264; 883803344; 570253299; 1362712; 859779444; 607978774; 639249543; -1; 790834314; 69254589; 654293878; 815022413; 102258658; 991457942; -1; 980411854; 269818046; -1; -1; 754742690; 965825917; 608349915; 430782834; -1; 447166465; -1; 927524593; 713980214; 171038854; -1; 957849190; 620411995; 772086230; 464695865; 158527813; 703901768; 957810000; 357843056; 369481309; 440008453; -1; -1; 120021767; 811178927; -1; 33787188; -1; 259075515; -1; 526315346; 39707787; 782092527; 916105146; -1; 991354675; -1; -1; 795713491; 582182027; 359711894; 286367701; 923445764; 681976533; 282988324; 694171411; -1; 237164537; 817616179; -1; 278702356; 739866501; 584963795; 511651220; 822783788; 877320242; 145627687; -1; 364664901; 715893611; 19050228; 177290091; 134949753; 288783697; -1; 105804159; -1; -1; 835616694; 265838702; 351547471; -1; 33388124; 322960652; 573862064; 771843891; 535838303; 674852541; 392899934; -1; -1; 155525639; 322525379; -1; 190769461; 85586902; 72753936; 247132424; 749237002; 842889676; 198551546; 787117241; 967846727; 349552360; 272593247; 383573047; 410578022; 382433547; -1; -1; 267737391; 201884068; -1; -1; -1; 281245333; 95691641; -1; -1; -1; 713035432; 566783764; 393911328; 987048809; 485492918; 239797667; -1; 395609213; 513408194; 162754464; 135471700; 313199735; 276301968; -1; 896599201; 103585098; 877369734; -1; 338437616; 476857122; 144994228; -1; 258471896; -1; 33245220; 251184009; -1; 825840093; 472215135; 386078788; -1; -1; 651379598; 120080650; 556159798; -1; 722168418; 456128820; 232166553; -1; -1; 198891760; -1; 363488894; 621117242; -1; 433886699; 885190573; -1; 956787357; 638102281; 759926261; 666607115; 333834827; 575142717; -1; 523826843; 39188617; 5666501; 687506260; 817073221; -1; 27871216; -1; 575025460; -1; 126172795; 211841576; 33097766; 317156416; -1; -1; 623943835; 42732409; 591061830; -1; 489332991; 442007386; 351683224; 943366903; 348896224; -1; 263064305; 928120877; -1; 851592856; -1; -1; 660792175; 257993641; 361511660; 437849280; 588380146; -1; 953067257; 48302908; -1; -1; 192662797; 91433826; -1; -1; -1; 229734992; 484400402; 534268437; 626545081; -1; -1; 234489707; -1; 871801521; 204762386; 483263359; 876647164; 633005802; 709221357; -1; 45316226; 349588461; -1; -1; -1; -1; 375366410; -1; -1; 153927065; 151643717; 32558732; -1; -1; 133714353; -1; -1; 126367726; -1; 645947972; 25648605; -1; 751254790; -1; -1; -1; 897448200; 25202487; 815935564; 452698638; -1; 300946024; -1; 782221930; -1; 161387835; 953439271; -1; -1; 174323366; 608460102; 743497333; 606228225; 619087779; 508150448; 199375193; -1; 71790971; -1; 597505770; -1; 80287586; 573735340; -1; 851482733; 655663817; 859975633; 581684675; 740583498; -1; 288628953; -1; -1; 472958674; 441186465; -1; 829480128; 889599202; 887783056; 507353405; 201202490; 464226084; 618406365; -1; -1; 642293453; 507022816; 722103467; -1; 561345134; -1; 558850535; -1; 175198171; 154708557; -1; -1; 593191879; 129977759; -1; -1; 685555510; -1; -1; 51898642; -1; 291620352; 849665277; 774080993; 993219004; -1; 225075832; 991377076; -1; -1; -1; 481233717; 857500255; 722123092; -1; 996014394; 972764339; 542403668; 199128703; -1; 83990932; -1; 500438172; 321193917; 17991419; 533587409; -1; -1; -1; 973130279; 347028781; -1; -1; 17262371; 326177337; -1; 871107637; 685259593; -1; 49043183; 153416137; 225556685; 439344705; -1; 608725085; -1; 521770376; 198504550; -1; 623999551; 937804143; -1; 192906686; 239509517; 380813484; -1; -1; 469125761; 925361209; 199459005; 155210195; -1; 298467682; -1; 394586610; 837857164; -1; 742213153; 449064150; -1; 454447594; -1; 136305870; 806463010; 653016833; 709113579; -1; -1; 930165688; 763197231; -1; -1; 648417366; 423726212; 507338934; -1; 532388341; 441976473; 906148348; -1; 37575550; 659086305; -1; 684540606; 465688346; -1; 758101969; 271773396; 794848788; 541412034; 415054038; -1; 695934755; 355257303; 587228634; -1; -1; 491356387; 164158892; -1; -1; 95958163; 58851410; -1; 154568181; 762927862; -1; 169783833; -1; -1; -1; -1; -1; 726708249; -1; 918664443; 84965383; -1; 532537567; 564587892; -1; 220302392; 114080227; 653314785; 254960480; -1; 45386104; -1; -1; 137065974; 54826701; -1; 967415332; 929552074; 341687945; -1; 443160299; 91530347; 92877852; 241472667; -1; -1; 976676750; -1; -1; 659693013; 997795952; 893992458; -1; -1; 103293250; 986932344; -1; 146264264; -1; -1; 831433325; 373790581; -1; 117212927; 26285517; -1; 563194485; 634538871; -1; -1; 581693860; 823943996; 797511983; -1; 149669405; 38958049; 371674385; 581748615; 325901712; 631380580; 342850859; 56636384; 934502870; -1; 276194520; 523004789; -1; 950804952; -1; 960394845; 15022751; -1; -1; 263935671; 673776880; -1; 661563308; 842008492; 9100063; 31143636; 879640839; 984887199; 271132460; -1; -1; 438942609; -1; -1; 83669598; 674762598; 789485974; 273246281; 61641387; 330710271; 789129111; 119167867; -1; 825380375; 14218981; 858418908; 356757721; 988602465; -1; 304107075; 926006340; -1; 706204521; 437080104; 48061674; -1; -1; -1; 490957271; -1; 63455118; -1; -1; 142950171; 574766756; 169038723; -1; 403421236; -1; 746787988; 680768617; 471824020; 890811560; -1; 242619845; 800599065; 701356569; 912949124; -1; -1; -1; 325247924; -1; 384485856; -1; 186777842; -1; 133707163; 98906779; 951998486; 670908097; 284736448; 262503225; 983929966; 415293691; 296210360; 290923946; 939902782; 936429140; -1; 691724800; 75207286; -1; -1; 38278408; 607307158; 689026291; -1; 537228658; 386929132; 732153210; 644004318; 360029412; 17409985; -1; 636334437; 943319791; 923599610; 83018507; 242591010; 760040966; -1; 564024750; 577053972; -1; 197446017; -1; 866911973; 851909785; 83402212; -1; -1; -1; 23578289; -1; 725086817; -1; 96833230; 808821314; 657423182; 89993850; 782045957; -1; 616544810; -1; 717992254; -1; -1; -1; 371813367; -1; 533398501; 795333577; 884966236; -1; -1; 402037433; 187938305; 160900605; -1; 314593862; -1; 522526754; 281687967; 190560465; 534313514; 829734316; 804149596; 372612869; 543728472; 126704580; 608826973; -1; -1; 390168635; -1; 253258504; 651290796; 931287347; 420915425; -1; -1; -1; 632537912; -1; 691504782; -1; 799606997; 145919662; 738596547; 868079899; -1; 785460653; 320540999; 969847305; -1; 864430187; 557270539; 658672650; 415798914; 769264787; 954872703; 268046121; 941690020; 588359206; 776011329; 550049431; 953218436; 717812095; 534206028; 342813214; 223977817; 533374141; 951852333; 99960673; 737959052; -1; 514569747; -1; 899591435; -1; 446916683; 105516904; 808295246; -1; 332984448; 295198182; -1; 800847884; -1; 554961021; 11414526; -1; 627583288; 23647811; 235580607; -1; 499936813; -1; 244711450; 163888112; -1; -1; 149649278; 377531804; 220031210; 12978124; 256159865; 595676340; 897148832; -1; 718027413; 102536533; 287109528; -1; 314840416; 941059170; 986474840; -1; 410434608; 732050550; -1; 215084745; -1; -1; 344042703; 938276937; 109636639; 891722784; 660547259; -1; 346647293; -1; 446269860; -1; 35083108; 53099273; 148947468; -1; 413161402; 91920860; -1; 589430355; -1; 997468339; 125701364; 299057275; 38235805; -1; 727481095; 949613717; -1; 166381001; 717341699; 524203864; -1; 543741932; 797528767; 352017833; 740312057; 233149136; 786957950; 667848835; 517943938; 302487615; 457628204; 58559511; 925555425; 848729257; 232291549; 298864781; 332119705; -1; 796979219; 578259053; -1; 217427754; 61133304; 640906437; -1; 867342548; 425687608; 812979616; -1; -1; 240791378; 711331859; -1; -1; 141415000; 517298249; 108102008; -1; 642039045; 26695536; 944787099; -1; 223727973; 696071147; 458234202; 284379792; 545856312; -1; 605158364; 237176667; 211755899; -1; 349943549; -1; 792650871; 76783869; 682089927; 246632442; 492572451; 541365803; 554134920; 359327807; -1; 705150556; -1; 101417798; 227946109; 539314155; 356617120; 839255306; -1; 8783869; -1; 132894409; 740092293; -1; 651981228; 499840219; 47200930; 251161441; 389219501; 622374959; 737824023; 493817496; 60253464; 654509703; -1; 954771777; 633453038; 604045352; -1; 259733258; -1; 131973894; 382083916; 226914493; -1; 91559233; 588829106; 521792216; -1; 371479057; 719983785; 581508292; 144903401; 953494592; -1; -1; -1; 157250149; -1; 308525638; -1; 239931619; -1; 354155415; 703222338; 660930104; 5195733; 969302787; 191325015; 38443972; 155001956; -1; -1; 376837586; 543251593; -1; -1; 791771021; -1; -1; 577093783; 952854703; 213830171; 822370130; 490860188; 474750561; -1; 92338138; 683154870; 65193541; 34508560; 998961031; 355896547; -1; 353063593; 281985650; 981196296; 768026119; 862603070; -1; 108716107; 756006666; 46769708; 62571894; 598504402; -1; 19042428; 818182233; 128115150; 299812602; 91868022; 822723378; 144086210; 370748191; 127584022; 866736501; 169730317; 250113967; 510189957; 509615053; -1; -1; -1; 209312422; 110939216; 493962243; 444928719; 481127317; -1; 373791703; 32015986; 406041518; -1; -1; -1; 877312397; 625580976; -1; 450914604; -1; 525452322; 971234409; 412875893; 78747921; 52252403; -1; 807408331; 674756538; -1; -1; 322443082; 226502566; 933682210; -1; 390064770; 697494556; 334614432; 72048109; 870150658; 494110236; 765098624; -1; 968402715; -1; -1; -1; 298694215; 667851113; 195689468; 736848392; 949420282; 779651623; 388968493; -1; 25619124; 570042883; -1; 357868677; -1; 208249683; 109694141; -1; -1; -1; -1; -1; 864441716; 72877054; -1; 651341276; 234016067; 299424089; -1; 369190581; 233330666; 816830079; 697737591; 181141910; 649406325; 176530323; 662422921; -1; -1; -1; 465733596; 337095451; 468311101; -1; 295681631; -1; 898071118; -1; 163282515; 756957089; -1; -1; 619543606; 396940733; 588244492; -1; 512502686; 823418622; 410560609; 472397964; -1; 798732326; -1; -1; 667061343; 253967073; 300133801; -1; 533451098; -1; 117007555; 907722812; 462308121; 423705811; 475071515; 250389274; 265889833; -1; 419924470; 615217015; -1; 192437914; -1; 214122042; -1; 741058697; 510516529; 659448950; -1; 263200090; 39135964; 725225426; -1; -1; -1; 912878714; 493534750; 675174120; -1; 587529485; 438934490; 884377432; 217196008; -1; 276917990; 616482140; 142362848; -1; 590015555; 137789384; -1; -1; 656053126; 408880921; 547742958; 969197799; 916294261; 326377406; 177782085; 222059293; 655704183; 180795626; -1; 66414138; 687549616; 659580211; 359585913; 225366632; 829644334; 561581887; 60215926; 553961176; 100514649; 800998608; 315740471; 138071635; 322484605; -1; -1; 245563631; -1; 173520194; 279572542; 316784586; -1; 461984358; 452832595; 295136582; 454827870; 998703282; 626256124; 959749669; 362743610; -1; 391692523; 616474536; 434756025; 915000103; 106244498; 574724069; 85810875; -1; -1; 233464158; 541591471; 337923110; 895096496; 844083108; 539254801; 638315451; 556164193; -1; 928072663; 424306159; 358436881; 268072283; 72414761; 944246162; -1; -1; -1; 662804657; -1; 914002582; -1; -1; -1; -1; 118922014; 661937187; -1; -1; -1; -1; 630062809; 651095843; -1; 813304991; 453849011; -1; 703191997; 849884122; 409673428; 390543560; 557893793; 903608871; -1; -1; 634409529; 815172944; 567581020; 539512055; 760440351; -1; 124948186; -1; 735175295; 128856289; 774496736; -1; -1; 359263775; -1; 344392176; 20003847; 413012490; 390624900; 980425924; -1; -1; -1; -1; -1; 548528467; 355809763; 968302517; 129381696; -1; 385000887; 764145800; -1; 96367522; -1; 673707983; -1; 549741277; 726590681; 554449552; 184331371; 581251278; 570823582; 296033526; 517431036; 99089484; -1; -1; 921684695; 683026806; -1; 757764179; 560223423; -1; 303373979; -1; 29492517; 641658720; 846062306; 27468840; -1; 105725743; 30428610; 883798356; 392551611; 121237116; -1; 446991535; 874175897; 162452527; 210527243; -1; 513130179; -1; 309249107; 753703685; 728252927; 77444787; 644614703; 98799214; 821261540; 655617786; -1; 340139079; -1; 890252852; -1; 568089045; 512131660; -1; 56222052; -1; 356576643; 521051028; -1; 655153298; -1; 691302353; 718300753; 930180770; -1; -1; 357058562; 784495066; -1; 814181564; -1; -1; -1; -1; -1; 468722832; 439101954; 473416308; 550618605; 764469355; -1; 238029218; -1; -1; 459442600; 407061774; 637196716; 675352410; 231460699; 986862731; -1; -1; 846823804; 512982472; 133269319; 305897235; 591513235; 615803595; -1; 943256412; 486422443; 339356954; 571936959; -1; 920522903; 743443770; 203566588; 40227419; 16935506; 547740672; 557886588; -1; -1; 532286028; 108038579; 349858291; 487451961; 687121756; -1; -1; 438840231; -1; 404752773; 758165303; -1; -1; -1; 687189776; -1; -1; 518986595; 71496113; 604780123; -1; 445443192; 61116193; -1; -1; -1; 636188724; -1; 651375753; 772989843; 415173116; -1; 407437251; -1; -1; 557698560; -1; 824862775; 268460674; -1; -1; 364096983; 582316448; 481366914; 868447886; 723241535; 51242095; 996705871; 161237329; 532948561; -1; 420344874; -1; 671435892; -1; 387500254; 655862564; 428938254; 650118083; -1; -1; -1; 868586010; 427758761; 223778397; 618588352; 332281062; 398224352; -1; 72574926; 599386423; -1; 679130202; 377551735; 843241445; -1; -1; 28342318; 153661607; 442295387; 422091450; -1; 34849625; 671265566; -1; 931229237; -1; 633584437; 169976147; 706254583; 503559616; 555994320; -1; 829943140; -1; 218241987; 940749234; 409491179; 712477994; 649821401; -1; 879043419; 36544729; 897319427; 463610149; -1; 376934647; 766919958; -1; 562439151; -1; 691308355; -1; -1; 306372403; -1; 727000117; 273353949; 207694807; -1; -1; -1; 439008594; -1; 807555098; 855234663; 995147249; 585940090; 317718993; 404645127; 337483997; -1; -1; -1; 304326002; -1; -1; 33777105; 51031165; 981588611; 855702436; 22822053; 520419882; 751651229; 406894170; 904760122; 815022782; -1; 233251446; 938636159; -1; -1; 95757045; 864661460; -1; 671900721; -1; 145838892; -1; -1; 708841752; 595982943; -1; 634035782; -1; 164570657; -1; 465662077; 594887186; -1; 150419507; -1; 743612646; -1; 428144775; 848629680; 665647493; 644694069; 856994045; 475835049; 894189095; 842924753; -1; 836073155; 330126589; 441846545; 382201582; 824134263; -1; 132426463; 288505629; -1; 819694429; 108128114; -1; 147290522; 770864043; -1; 898813343; 294418795; 823502599; 739681610; 717905497; -1; 923443172; 5481379; 765110343; 531624361; 718263511; 483331039; -1; 108585281; 593703594; -1; 302159818; 933920506; -1; 514881249; 577808380; 447739733; 859597481; 980452289; -1; 244090152; 194225416; 207875896; 320337997; 653794340; -1; -1; 207995389; 217126970; 413457769; -1; -1; -1; -1; -1; 110960613; 333860709; 174477694; 956545379; 622679062; -1; 575291873; 365766465; 5621974; -1; 832291800; 234927166; 517181274; 798945227; -1; 753817670; 131331409; 393900528; 959495547; -1; -1; -1; 261486981; 924484925; 535236493; 835083928; 513024251; 74138005; 193034923; 713602886; 915271791; -1; -1; 668794084; -1; -1; -1; 744152352; 638876968; -1; 637874877; 151725828; 464011447; 531824401; 660082055; -1; 602388007; 142635021; 94596637; 693513119; 267243141; 940156845; 575283188; 214359425; 51821229; -1; -1; 872439242; 218680840; 52760885; -1; -1; -1; 115110141; 441508284; -1; 606990803; 358044407; 781473101; 854776668; -1; -1; 971373897; 583522811; -1; -1; -1; 881943880; 465560383; -1; 938101183; 180239113; 828472555; -1; -1; 520718748; 553249736; 413901929; 428132612; 989067097; -1; 931702388; 555699801; 975996590; 75562454; 120113188; 456833479; -1; 917489405; 109769027; 933984603; 520154130; 915231723; 524002567; -1; 984229203; 84572893; 725298502; -1; -1; -1; 748457819; -1; 756466918; -1; 489777136; -1; 981945424; -1; -1; 977074419; 120085307; -1; 786105713; 189440485; 539212300; 262215938; 528365516; -1; -1; 950128351; 43788983; -1; -1; 507556286; 420931115; 306959665; 431130702; 21744568; 393282330; 759768718; 338544760; 182969611; 160552520; 384137368; 60223389; -1; 139079660; 453725908; 237174836; 101571330; 560202735; 871398669; 149526602; 451461243; 983067821; -1; 620305848; -1; 850260600; 96713716; 514779178; 183331053; -1; 487473630; 398887175; -1; -1; 771169728; 343990992; 252232350; -1; -1; 497863257; 24078587; 43612499; 961213187; -1; 717218819; -1; 774849056; 589402454; 407354214; 238541760; 160161557; 552850993; -1; 120120500; 132368991; 432691599; 198176797; -1; 196190960; -1; 247314313; 2094993; 630432313; 897030312; 265137541; 179263278; 643957359; -1; -1; 895973622; 703928669; 249748240; 462045500; 919750241; 639345147; -1; 408545702; -1; -1; 767555075; 703308533; 403805158; 667148942; 240232942; -1; 309951116; 495948731; 143576854; -1; 769344087; 491715280; 497370916; 920167842; 61602023; -1; -1; 920941826; 327375363; 132176457; 818012215; 627176516; -1; 443591126; 882124372; 679907680; 17447529; 993599826; 228930787; 443963143; 635036689; -1; 959450182; -1; -1; 92320476; 404790961; 649100924; 535318226; 742797720; 198218508; -1; -1; 574796849; 148123860; 906663441; 255443078; -1; 910689320; -1; 981192185; 190233399; -1; 200391925; 308951501; -1; 716369899; 871396717; 674071088; 321567889; 808929175; -1; -1; -1; 739109262; -1; -1; -1; 923054775; 915188519; 340467563; 168710679; -1; -1; 434135713; 358295133; 421073160; -1; 377209918; 758907285; 158543304; 300348895; 621048330; -1; 964546011; 466237695; 907714033; -1; 165758706; 788019430; 657898488; -1; 775126518; 438433505; 540677034; 803605040; 812301650; 988702727; 524639659; -1; 30559378; 798618624; 237036347; 319771032; 983600989; 696321185; 562877699; 188073061; 990761292; 676130588; 434151799; -1; 247833761; 936694589; 139908127; 749388141; -1; 76056023; 204513516; 604290475; -1; 662568304; 229724393; 312661275; 64703418; 89066293; 927647526; 121550326; -1; 127314366; 53340882; 988705953; 979611594; -1; -1; -1; 278442543; 782908177; 88247704; 939349003; 467140054; 587571551; 726704358; -1; 685701607; -1; -1; 597341752; 546643739; 920474894; -1; -1; 851461761; -1; 856646903; -1; 666671481; 884832427; 543877611; -1; -1; -1; 212558550; 341941158; 257389983; -1; 222733390; -1; 394216695; 962918188; 910319361; 426545958; 50407169; -1; 865616323; 758606504; -1; 715953709; -1; -1; 65455298; 792088619; 850151088; 806235201; -1; -1; 705145227; 163723359; 324279974; -1; -1; -1; -1; 17672823; 944131568; 58186357; 255871650; -1; 602510088; 616503260; -1; 951557918; 351735640; 178631505; -1; 542601992; 536499903; 332105068; 553835968; -1; 379708980; 572632170; 950669495; 208265629; 459955325; 604548680; 806196924; 724817195; 604296287; 600866873; -1; 863766587; 522981677; -1; -1; -1; 207558667; 36787096; 529972440; 228605785; -1; 374922751; -1; 859891531; -1; 263747954; 608474914; 326326211; 755956258; -1; -1; -1; 289416161; 549278499; 85524418; 173278765; 692979769; -1; 258543259; -1; 32243193; 110561345; 155811103; 932854247; -1; -1; 98486205; -1; 233817240; 572069197; 470636614; 885877343; 442641637; -1; 248902249; 941888234; 32114609; -1; -1; 856332329; 868568937; 375224932; 566435485; 162626734; 6460877; 267630279; -1; -1; 136148247; 345955175; 513940382; 223055541; 453815081; 498461490; -1; 443438021; 849533626; 517931544; 946622571; 955272557; 613405943; -1; -1; 698837855; 864851368; 886459179; 459910939; 700005700; 460291545; 778790045; -1; 987004393; 409768153; 618833000; 281761476; 348863109; -1; 525900478; 853494194; 663327315; 783608927; 668592887; 139210659; 408567151; 840753563; 722972536; -1; 590146845; -1; 588385013; -1; 993072229; 337978876; -1; 428994378; -1; -1; -1; 324964049; 666187083; 83711295; 109971275; 917776045; 761887738; 398159879; 16888035; 499216384; 831158442; 789522190; -1; -1; 280348842; 453541648; 611978076; -1; 436913050; 210323850; 670918283; 199417208; 963676748; -1; -1; 243436248; 883386304; -1; 437542125; 535565332; 256467341; 189343970; 972843838; 317955565; -1; -1; -1; -1; 417887237; 964327572; 954361329; -1; 30894873; -1; 54161079; 846962710; 454397314; -1; -1; 47641460; 196712893; 567356159; 696956475; 571941318; -1; 898609153; 714530404; -1; 38234791; 572033298; 365772734; -1; -1; 558123425; -1; 45391020; -1; 183217998; 311160885; -1; 269832296; -1; 997907656; 463898963; 620509432; -1; 495628825; 561699614; 705541330; 478277767; 682149106; -1; 718758425; -1; 826915837; 125045306; 220885159; 759080600; 615500672; -1; 339321158; 180215395; -1; 779083244; 430743751; 900157776; 34002861; 644783899; 719268253; 741297038; 909063493; 842410781; -1; 178508703; -1; 838529294; 887396736; 240143912; 242004650; 874750545; 740828741; 379771075; 907397197; 466637813; 349061240; 990616929; 714736461; -1; -1; 402182577; 266839816; 446673734; -1; -1; 594572613; -1; 729912645; 157025097; 721152603; -1; -1; -1; -1; 351394641; 785478860; -1; 92460342; 859660238; 717469310; 393829057; 567289244; 745293889; -1; 714493581; 243037848; 756187030; 500077033; 22136887; -1; 147011092; 17504915; 470346636; -1; 851187651; 587698052; 677770604; 309066631; 654566923; 846150946; -1; 749225330; -1; 876698191; -1; 817046160; 337006858; 961908989; -1; 731805012; 486474871; -1; 135167591; 839013430; -1; 998121989; 168238808; 579490861; -1; 417422085; 322190817; -1; 910064926; 745682914; 637244606; -1; 421948573; 335809291; 409983640; -1; 14049625; 758120389; -1; 454734074; 342458954; 275267372; 280815653; -1; 517682543; 891259080; 229387187; 646150188; 683024659; 645638086; 688335388; -1; 554153799; 311550011; 60530509; -1; 706040146; 204313168; 533879889; -1; 776391397; 504298654; 845357489; -1; 671726114; 525363653; 838758078; -1; 220714659; 326692674; 327690342; -1; 481253118; 872759799; 156940688; -1; 595328324; 321403462; -1; -1; 563928710; -1; -1; 63577161; 464368485; 779696454; 65156525; 591355395; 581564112; -1; 6609746; 774242375; -1; 12617808; 880530079; 922658472; 253807191; 977878005; 973260843; 580801090; 914691175; 268343061; -1; 620124992; 275677142; -1; 907338619; -1; -1; 30725081; 46620108; 120738104; 148354235; 843972769; 814505607; 632085249; 308556412; 543967688; 97191953; -1; 733630955; 165794848; 620599242; 724501451; -1; 304983593; 27817716; 116875354; 235073457; 836044; -1; -1; -1; 134702160; 693865094; 315855325; 919100957; -1; -1; 4482251; 942157168; 159909006; -1; 548718640; 483701263; -1; 897521900; -1; 286867568; 655865915; -1; 640457297; 868572770; 558933038; -1; 369657281; 591196170; 630437476; -1; 50366338; 381243015; -1; 10630571; 249388417; 850918665; -1; -1; 287733515; 445346313; 613477919; -1; 848371628; 386050557; 337005466; 509231292; 891081201; 258171687; 106865366; -1; -1; -1; 441255310; 674826267; 239856922; 282633363; 16716637; 797292000; 939500790; 525952858; -1; 584887611; -1; -1; 444896546; -1; 957634484; 507784786; 487856283; -1; -1; 265709303; -1; 176360300; 166694605; 679741874; 60483681; -1; 956793179; 949762406; -1; -1; -1; 229461438; 300416088; 510540793; 321553150; 405758719; 450244978; 912079261; 654044614; 267640048; -1; 842574579; 208437584; 35777633; 955467128; 133195534; 286708456; 625421805; -1; 787926428; 642922427; 382325449; -1; -1; 191983230; 367526721; -1; 233155465; 742517469; 656995107; -1; 257356215; 130939454; 526212176; 660593572; 497239992; -1; -1; 464359273; 152706477; -1; 641214678; 259700724; 329091519; -1; 745803843; 65911393; 649896027; 916115631; 985272893; 631230979; -1; 502108259; 20486436; 896396195; 527313357; 191802620; -1; 657081425; 593324927; 918347085; 48869165; 489126790; -1; 70365484; -1; 14236954; 158741540; 643427602; 313636890; 136744520; -1; 556313907; 391709892; -1; 182366270; 306870537; 726454406; 828038254; 445961858; 95153871; 396689641; 937032652; 994220275; 27473425; 612276809; 413250493; -1; 474150647; 334050466; 583736802; -1; -1; -1; 769776636; 419018846; -1; 158220479; -1; 754103721; 216797438; 325202459; -1; 465098797; 490837825; -1; 750622542; -1; 301638024; -1; 80146686; 174983850; 30534737; -1; 598529442; 128683531; 270360716; 787869666; 231853961; 782972728; 176500365; -1; 427003775; -1; -1; 894626076; 504907385; -1; 270729625; 277917826; 591895535; 79258544; 554244492; 614242793; 591107693; 543718167; -1; 374541265; -1; 839444466; -1; 658369641; 513260899; 942594930; 688158714; 767291310; -1; 543488019; 869677473; 896026038; 600305861; 21367046; -1; 846598694; -1; 782141255; 763977800; 197886270; 873610064; 224385021; -1; -1; 513008238; 795576885; 858602712; 88678353; 423084866; 864161261; -1; 907119872; 569099522; 523930782; -1; 503900301; -1; 157768655; -1; 131647853; 250805441; 3091895; 424806358; 807043010; 905295278; 428228752; 651580982; 949377458; 21141122; 382973753; -1; -1; 107778539; 414460011; 597027308; -1; -1; 247183117; 849874417; -1; 383968645; 400339565; 315969535; 455712708; 3586192; 480910086; 307539030; 611810553; 768240371; -1; -1; -1; 276663319; 912720144; 73522733; -1; -1; 897496696; 507954451; 249053632; 752102533; -1; 957397082; 62239315; 50334568; 470417639; 504980125; 348995606; 292216309; -1; 4937908; 237631180; 782547002; -1; 315261654; 83500416; -1; 492254145; 368801455; 226587254; 480191745; -1; -1; -1; 169975751; -1; 711150736; 161358233; 597673163; 852412019; -1; 624769026; 284310796; -1; 434529831; -1; -1; -1; -1; 246989264; 275953359; 809813611; 102429285; -1; 552224256; 982729346; 629144571; 239846628; 914983969; 333122850; 549941700; 660446423; 899069531; 236791693; -1; 232783630; -1; 565962664; 443885970; 192445171; -1; 928455334; -1; 254057479; 397251032; 512636965; 806004925; -1; 978030408; -1; -1; 114294997; 303642185; 358204287; -1; -1; 457363219; 34600332; -1; 653592544; -1; -1; 753926668; 282143764; 393700900; 596465024; -1; 868312433; 877697732; 184296284; -1; 215680913; 561485285; -1; -1; 676449887; 463851777; 683233767; 905368954; 512863409; -1; 935623482; 76692439; 244242850; 460914102; 806037164; 517528295; 955071710; 326933062; 338676275; -1; 211515104; 360911863; 119582396; 72855417; 717271517; 316345293; 391188652; -1; 66550138; 102049501; 579052053; -1; 679360700; 833391499; -1; 976578238; 716785257; 647394982; 466448517; -1; -1; 699327733; 526841494; 587593519; -1; -1; 4122070; 706944136; 176091575; -1; 285889423; 118126910; -1; 277401907; -1; -1; 903905063; -1; -1; -1; 937395167; -1; -1; 843556342; -1; 113576251; -1; 470434470; -1; -1; -1; -1; 980224766; 8536265; -1; 294934153; 670582490; -1; 58324368; 402833414; 170878426; 708045987; -1; 915498507; 923595607; -1; 879310506; -1; 875729578; 137781839; -1; -1; 963439448; 141923997; -1; 836733258; 930531888; -1; 60518629; 229625643; 675701428; -1; 569078376; -1; 184848881; -1; 902499073; 859203066; 856800290; 993440828; 795434365; 811550686; 415306772; -1; 543894848; 12138467; 449796077; 323523339; -1; 664407701; 384526457; -1; -1; -1; 330562501; -1; -1; -1; 990704066; 467861222; -1; -1; 651783228; 182648972; 265536147; -1; 862091763; 621499289; 682153342; -1; 385622961; -1; 713417906; -1; 819055010; 254415714; 334456956; 741867978; 128820568; 249425230; 210649617; -1; 795684902; 319957435; 596598466; 599838272; -1; -1; 300252029; -1; 170997796; 146978335; 375877826; 278445780; 437461011; 967366048; -1; 348018381; 631979320; -1; 600957385; 953164236; 629992819; 248248418; -1; 825082545; 175216267; -1; 861147395; 265940273; 380867919; 512709045; 330439661; 164153896; -1; 484986765; -1; 737240904; 574013272; 21836359; 609888560; 868777796; 607639920; 831694106; 772037813; -1; 246371888; 932529044; 903344765; -1; 41931915; 367733845; 415634235; -1; 973962796; 160474260; 258402059; 629169439; 356139940; -1; 395116004; 993415537; -1; 85414231; 674745017; 357897773; 71738213; -1; 435290021; 156058252; -1; -1; 516037163; 292171594; 588543909; 467268746; 337373424; 323235292; 393192032; 96115221; 984860910; 859681846; 146936975; 202339117; 41838551; 786905804; -1; 905647363; -1; 59998573; 34463871; -1; 969206293; -1; 613847473; -1; 660907373; 617817248; 368748411; 6349409; 587267849; 487347087; -1; 948827974; 681097184; -1; 879241588; 561048598; 679868430; 996141375; 336451525; 687292821; 964171654; 953904511; 800257519; -1; 116404812; 694881476; -1; 147210057; 389275531; 124948641; 774448046; 364284236; 462408402; 278096213; 819965194; 780687115; 622734623; -1; -1; 89666564; -1; 617607392; 531419720; -1; 657096976; 349490149; -1; 661942171; 449118340; 805157659; 529921530; 668360268; 566421598; 639028674; -1; -1; 267808008; -1; -1; 311274594; 102533562; 630727968; 241649954; 908185672; -1; -1; -1; 35987573; 900170151; 892734308; 317140159; -1; -1; 729756534; 577088953; 109885168; -1; -1; -1; -1; 479096603; 935844793; 642493833; 228874170; 749738860; 553312982; -1; 295447851; 533318245; 258300286; 670101667; 909839046; 773605218; 150702901; 788588852; -1; 649442246; 944453579; 67457098; 883110479; -1; 314857421; -1; 894247304; 716697745; 424487665; 824519614; 87106815; 948089357; 737573333; 151931957; 326366939; -1; 371392101; 4546864; -1; -1; 810025953; 655060284; 520000777; 333082423; -1; -1; -1; 613963435; 682687268; 942700745; 647308115; 825649872; -1; 498231317; 622168407; 215928106; 759099733; 217192227; 100069732; -1; 686830793; -1; -1; 782535321; 497766307; 276297702; 478368199; 883156385; 259165100; 677965688; 498934781; 796638742; 837080428; 515304342; -1; 52620504; -1; -1; 578228759; 79868809; 363451861; -1; 989395917; 5211508; 646053797; -1; 953349617; -1; 664226754; 936925990; 177945642; 928104469; -1; 806818298; 23080036; -1; -1; -1; 790721900; 896007331; -1; -1; -1; -1; 606574866; -1; 638475459; 755059365; 584500264; 393233159; -1; 902072981; 550029751; 293499756; 510436180; 215942465; -1; 577948818; 81053814; 453427199; 923957774; 951357171; 119386619; 929916339; 667589187; 997671340; 90557952; -1; 229397764; 183751820; -1; 593802054; 493846311; 511871984; 986539149; 997274800; 195126759; -1; 87649358; 594936709; -1; 983989356; 155175389; 152288976; 355567940; 88622978; 738765207; 65112127; 801799043; 877455163; 652404748; 986234449; -1; -1; -1; -1; -1; -1; -1; -1; 190011399; -1; 577102560; 536049238; 419455490; -1; 794247118; -1; 309975590; 831226891; 591830386; -1; 611701717; -1; 780669887; 266726689; 319264448; 806164868; -1; 837397281; 568433951; 643656574; 895105099; -1; 288595551; 7191624; 638242959; -1; -1; 690375612; 42607563; 683932195; -1; 824261119; 964061696; 628975702; 660375187; 131882125; 955898692; 980033375; 558809673; 769908827; 209838250; -1; 107943796; 352289253; -1; 128612256; 637963833; 923711129; 699925383; -1; -1; 529898006; 631125971; -1; 66348555; 895374581; -1; 818580660; -1; -1; 126585110; -1; 206017431; -1; 92532952; 227037659; 579159608; 616573155; 356558428; 944075815; 169602072; 661657017; 535800943; 395546385; 578947558; 708500147; 216019035; -1; 414550009; 835567433; 416652581; -1; -1; 549025500; 683367372; -1; 121181742; 809842134; -1; -1; 59097449; 27756400; 840893667; 699150947; 634009531; 977051336; 643034769; 334825565; -1; 675260397; 876114596; 954376701; -1; -1; -1; 476293056; -1; 920036227; 927670094; 375972821; 950489687; 894996484; 513123444; -1; 387826280; -1; 750987121; 773535418; 493532408; 846369648; 665646927; 428642183; 679972177; -1; -1; 561071407; -1; -1; -1; 785759774; -1; 702804020; -1; 703726491; -1; -1; 332798966; 71220321; 246089977; 503386139; -1; -1; 606743316; -1; 421174327; 957395711; -1; 942737262; 492978361; 48938643; 940064029; -1; 824560154; -1; -1; 961547559; -1; -1; 213376488; 237695835; -1; 884542102; 182095408; 295648785; 711040393; 138979273; 996886504; -1; 320249698; -1; 611611619; 7047793; 943986114; 840060858; -1; 965471893; 475429275; 950991649; 747684054; 912656815; 121030899; 283881814; -1; 780321716; -1; 795972605; -1; 423514219; 17733505; -1; -1; 758001785; -1; 21545878; 972445960; 880968311; 342231143; -1; 732669394; -1; -1; 695131926; 799250640; 654822934; 675394758; 140158979; 779819717; -1; 825534060; 94843688; 492106489; 758647602; -1; 350368024; 879143985; 501404925; 555403836; 314623134; -1; -1; 230128647; 762842724; 221860654; 394424010; 843344130; -1; 192714422; -1; 281001123; 335196311; 267029670; -1; -1; 6156567; 991068933; -1; 2187830; 768433138; -1; 651987180; 227882286; 794572036; -1; -1; -1; 373496614; 427729167; 219849942; 666494236; 564263040; 738188504; 261150384; -1; -1; 622810623; 979985424; 608884483; -1; 139770884; 917379288; -1; 415265586; -1; -1; -1; 603219042; -1; 803206351; -1; -1; 548419463; -1; 149428637; -1; 442342960; 608690430; -1; 668386645; -1; 347250498; 780196975; 173561398; -1; -1; 731103400; 75461575; 88046018; 648426167; 301228228; 223435751; -1; 964337196; 789675860; 512593901; 491008184; 143119188; -1; -1; 311053714; 283604074; 415077092; 973883930; -1; 409410153; -1; 542849045; 661724081; 964914849; -1; 432449069; -1; 11302461; 951153535; -1; 831908513; 861055141; 25862089; -1; 805774480; 609830438; 521168722; 757471613; 399336245; -1; 841412266; 754007901; 782747204; 625446869; 735065709; 797678707; 546636282; 925668855; 807108620; -1; -1; -1; -1; -1; 729461322; 500094359; -1; 569883723; -1; -1; -1; 504950752; -1; -1; 133297898; 645316197; -1; 139119129; 631173998; -1; 983842259; 675139528; -1; 137445060; 325693263; 494478179; 814442724; 658675786; 225282399; 135195105; 809339344; 922384365; 792877486; 214669310; 653253072; 682165712; -1; -1; 294630821; -1; 924656467; 441842571; -1; 178666825; 828261626; 481775525; 411664094; 968326944; -1; 365243973; 457467145; -1; -1; 842520006; 679261940; 419267516; -1; 543157635; 119027482; 327678960; 32166056; 560942314; 763478923; 189430711; 795195632; 399624934; -1; 958049141; 480598519; 992292710; 845905105; 232101361; 889604063; 901821808; -1; 468166851; 888996855; -1; -1; 740600530; 356196302; 660535283; -1; 966724146; -1; -1; 28154959; 770979720; 12535336; 377088809; 600282933; 111968909; 69689532; 521696252; 637146844; -1; -1; -1; 215016064; -1; -1; -1; 970366772; 491671283; 235579900; -1; 374911891; 894279300; -1; 873660457; 737751746; 864345458; 216134834; 442119129; -1; 99247568; -1; -1; 887629692; -1; 208614433; 217085753; 65410129; 760001812; 360775006; 94140724; -1; 33894035; 679183272; 587628055; 516196548; 647388211; -1; 519363331; -1; 216886927; 748876048; -1; 537215550; -1; 280421929; 600947435; -1; -1; 850511340; 187180198; -1; 260015523; -1; -1; 999402157; 723490701; 228493819; 995630144; 436101181; 318233135; 430041519; 897365707; 85652404; -1; -1; 818119399; 869436044; 749322540; 869801532; 94559255; 645075416; 179895728; 515236145; 782902593; 942004242; 217375064; 322195434; 404478830; -1; 956992432; 405950636; -1; 525307202; -1; 827895502; 838307434; -1; -1; -1; 914007398; 120028990; -1; 34438426; 83961528; -1; 695978075; 795945527; 426823034; -1; -1; 3682097; -1; 342108794; 733931278; 295069809; 551898070; 141009557; 909158032; 163552814; 923777991; 938586238; 37712661; 855514257; 203049877; 777687652; 395385516; 567510876; 485571350; 342025629; 380732695; 146898093; 918279295; -1; 338635379; -1; 330174186; 84619768; 728613364; 26942615; -1; 854194543; 768045965; 255004134; -1; 499856482; -1; 926219615; -1; -1; -1; 529384975; 178979530; -1; 792098569; 103575687; 21681507; 897583621; 352339139; 442143732; 656948412; -1; 187088092; 222080715; -1; -1; -1; 765108950; 335575299; 793768409; 394172884; 477630094; -1; 635596372; -1; 846313588; -1; 734534989; 437506303; -1; -1; 328105716; 36519376; 409988716; 186738942; -1; 636201501; 160960668; -1; 208506408; 369962225; 897724884; -1; 34591471; 731899941; -1; -1; 434264715; 832843118; 815458547; -1; -1; -1; 17295196; 576621403; 981659954; 632827814; 544795337; 46455510; 37772367; 428843859; -1; -1; -1; -1; 39203659; 949556404; 299196726; 217423079; 608621639; -1; 423432182; 525017843; -1; 26628480; -1; -1; 731554285; 487292079; 88801156; -1; -1; 303220916; 215280994; -1; 468937046; 915585336; -1; 82679208; 699459386; 932360083; 810982195; 889097609; -1; 792219729; 941718039; 656341978; 422108334; 493949725; 291155470; 200619907; -1; 132382491; -1; 180305998; 244909515; 592393287; -1; 550760074; -1; -1; -1; -1; 760483893; 325365078; 866030047; 648514855; -1; 187060620; 851502903; 280505813; 404819885; 662052981; 756375747; -1; -1; 829755793; -1; 923746249; -1; 805670411; -1; 285902609; 251934673; -1; -1; 642544394; 376737163; 564894662; -1; -1; 39399070; 737991851; 54161954; 710854309; 559417840; -1; 90385552; 978916961; 255096716; 339019174; 799851897; 964753347; 103898322; 766313344; 933762712; 433220227; -1; 517975260; 481638484; 623471030; 445255210; 509788644; 495565569; 169735486; -1; 831743069; -1; 86136841; -1; -1; 426672941; 491028638; 392389818; 641668422; 926685560; 246063693; 608694579; 747310814; 659286919; 883332570; 759969321; 933674054; -1; -1; 132751854; 554194703; -1; -1; 946213304; 225576352; -1; -1; 379060644; -1; 378547417; 602679759; 35241586; 215402206; 405012369; 64073564; 573722708; 955701150; 198306230; -1; 380341898; 272142669; 916938964; 935197750; -1; 162094406; 483294671; 284066451; 743107235; 921904466; 57775891; 659014597; -1; 396392846; -1; 317150245; 190609861; 375509894; -1; -1; -1; 532113122; 69974099; -1; 716811167; 499163015; 11670465; 444638541; 909488007; 735570223; 63526961; 195559216; 35074936; 31885973; 928043991; 312949597; 989373669; 366214988; -1; 501301629; -1; -1; 588866472; 803545273; -1; 671486895; 389017931; 304383930; -1; -1; 249982825; 697797110; 310600355; -1; 68610557; -1; 919770113; 756701318; -1; 443314468; 337100898; 178844509; 853140979; 382609158; 209371378; 342346029; 342211948; 323961306; -1; -1; 952412497; 769561937; 442928681; -1; 418287755; 229525879; -1; 178732870; -1; 380396841; -1; 851157823; 266393344; 805692804; 250590408; -1; 198861002; 808878879; 164183624; -1; -1; 930864071; 133776922; 578390583; 673517601; 247281684; -1; -1; 770940089; -1; 567993856; 641765949; 477783143; 434791846; 260123904; 94885382; -1; 387594261; 543850633; 929446568; 374665506; 792193590; 500366833; 931470674; 186554519; 422144161; 901369456; -1; -1; 463419912; 818203332; 54725598; 870437123; 824183458; 863715761; -1; -1; 484998401; 151059009; 90154678; -1; -1; -1; 963855790; -1; -1; 660579435; 233514275; 104357270; 441856405; 194097414; 476008093; -1; 334361319; -1; -1; -1; -1; 616359761; -1; -1; 785656963; 315249361; 362163572; 250651691; 143995226; 937024788; 539764192; 919937129; 512034700; 330187012; 798531467; 538628858; 22723263; 161922312; 57360582; -1; 971541716; 715620718; 235368141; 888915467; -1; -1; 408653286; 619492976; -1; 285707721; 739409175; 462367926; -1; 287513165; 629445853; 528085491; 375001984; 194215752; 135081308; 62244406; 309953425; 557753850; 108241104; 902249568; 624660597; -1; 456167493; -1; -1; -1; 440439899; 157448376; 650763565; 87361824; 142150533; 14946742; 492409640; -1; 711786702; -1; -1; -1; 197145683; 834464151; 980109879; -1; -1; -1; 16117667; 10547861; 67239088; 142229225; -1; -1; 461166648; 612324787; -1; -1; 4575768; 237860835; 326807216; 470236844; 469313155; 330464444; -1; 46759321; 507152277; 653320409; -1; -1; 74680360; 712177882; 336343700; 749945874; -1; 819732430; 647922283; 702340681; -1; -1; -1; 529741830; -1; -1; -1; -1; 87535278; -1; -1; -1; 832539553; 100579652; 753461736; -1; -1; -1; 425096017; -1; 540715209; 265018024; 165999980; 363330996; -1; 378775277; 34545955; -1; 191787157; 979263630; 17544060; 499719077; 219178094; 552689466; -1; 738323369; 243336113; 464595103; -1; 918874243; 981398559; 708799766; 721686537; 208094445; 100252048; -1; -1; -1; 492071953; -1; -1; -1; -1; -1; -1; 739550168; 984124643; 570780917; 367112194; 629730460; 741432809; 359214066; 962841560; -1; 593616386; -1; 180515717; -1; 884835605; 946705270; 102724011; 268358737; 988191422; 423833408; 943294878; 909400403; 674496204; 944292374; 351507725; 617387111; 878405595; 551680433; 55235560; 677648625; 307957798; 910719527; 986880987; 89545444; 978373504; 58151399; 691898577; -1; 989843714; 712942295; -1; 17234225; -1; -1; 849484014; -1; 909897097; -1; -1; -1; 557527688; 718054519; 648819954; -1; 698759342; 276160953; -1; -1; 466482629; -1; 352964229; 724784767; 165437519; -1; 502952072; 689384078; 495037056; 161282991; 849362292; 213653030; 121729226; -1; 949725348; 387580181; -1; -1; -1; 147166013; 238386713; -1; 126380361; 940817194; 723352630; 644043935; -1; 69729908; -1; 239333651; 972129742; -1; 490077491; -1; 322357674; -1; -1; -1; 908225047; 649667822; -1; 61487167; 185906636; 211234028; 224436277; 131634223; 520359538; 557364091; 262007194; 2461019; 30301050; 896291609; 694063402; -1; -1; -1; 244065398; -1; -1; 22335105; 824830124; 686560770; 707617326; 576393615; 894941510; -1; 395338954; 218320563; -1; -1; 195362668; 242911133; -1; 829511924; -1; 263570326; 395138702; 884776303; 77214721; 740886199; 90327358; 486286182; 245018194; 295456224; 528508880; 186795243; -1; -1; 709001497; -1; 263639230; 176074680; 24309828; 817105020; 799329518; 468777870; 634558473; 408033663; -1; -1; -1; 989214879; 147497147; 774352307; 815231391; -1; -1; 282011329; -1; 223032145; -1; 751484974; 510763182; 106896785; -1; 382603768; -1; 685197289; 470865619; 994939168; 413078731; 152913038; -1; 294464056; -1; -1; 309565198; 948214557; -1; 74154798; 527945335; 355641962; -1; 7198805; -1; 636151357; 369132833; 330500956; 885314820; 617526651; 678044641; 991071093; 326522254; 682682363; 434902613; 689636108; -1; -1; 647768661; 21119653; -1; -1; 359821275; 497752461; -1; 22262997; 48779118; 224634113; -1; -1; -1; 773214609; -1; 40341113; 623322297; -1; 856920430; 560375647; 991038794; 712594056; -1; 463469927; 218796752; -1; 127567971; -1; 718985786; -1; 940238558; 512281603; 573358560; 64676130; -1; 348268302; 137338087; 363424896; -1; 38204240; 692141290; 11319177; 40242390; 767010937; 585591007; 926090636; -1; -1; 260850536; 535889311; 305113103; 790952470; 334988866; 968346178; 894273637; -1; 275090505; -1; -1; 738445072; -1; 573106449; -1; -1; -1; 899791733; 101763957; 46024982; 658462530; 988193977; -1; 439625030; 447923692; 355154855; -1; -1; 378627229; 921432817; -1; 941606990; -1; -1; 167388154; -1; -1; 352940047; -1; -1; -1; 892533595; 125250357; 207829802; 829861114; 977358983; 834933188; -1; 275554450; 800804269; 446268316; 275927448; 875133046; -1; 493645252; 930361833; 155857274; 473445098; 276608785; -1; 734894846; -1; -1; 324368265; 118464527; 733789486; 448947139; -1; 927436858; 666328500; 800762403; 764992915; 219162258; -1; -1; 622926416; 618363483; -1; 492971545; 50717021; 346314174; 969166422; 46113328; 200739843; -1; 939949279; -1; 246157261; 480078290; -1; -1; -1; 285909932; -1; 843344117; -1; 481911797; 459263266; 820581066; -1; 504617139; 140148122; 871562145; 953980207; 980181989; 369847050; 461534227; -1; 815055317; 950290675; 281111642; 768825677; 334985676; -1; 78782052; -1; -1; -1; 48288764; 1737798; 604536780; 103006888; 274715030; -1; 190182433; -1; -1; 230548168; 954967908; -1; 855118835; 667057612; 590311786; -1; 821629222; 83125544; 416926080; -1; 997139351; 182200133; 668862154; -1; -1; -1; 105027090; -1; 484362947; 223129492; -1; 307506245; 232426422; 47467067; 705390085; 497858322; -1; 308860440; 758553207; 789149872; 73263710; 905067990; 984945463; -1; 124284850; -1; -1; -1; -1; 203169322; -1; 128795686; 879426035; 162528344; 173907787; 957146134; 26050603; -1; 352430888; -1; -1; -1; -1; -1; 33099490; 309518177; -1; 204208972; -1; 114220185; -1; 469521805; 913891375; 795442344; -1; -1; -1; -1; 569310493; 219016343; -1; 646961894; 507315691; 855010648; -1; 655112445; 346819177; 394854980; -1; -1; 350870616; 196395445; 279752736; 823058852; -1; 780552366; 877869684; -1; -1; 898045509; -1; 382105207; 118619197; 281771746; -1; -1; 520012439; 882753917; 733930643; 193010141; -1; -1; 922563208; -1; 262955930; -1; 119246406; 484589407; -1; 649565478; 519948153; 843960804; 910551266; 6406786; 477243076; 222456595; -1; 377506552; 426603327; 651337638; 108735123; 801011717; 791748546; 46233969; 773673033; 167226179; 379243745; -1; 869964627; 441633572; -1; 423715325; -1; 890489324; 571728091; 834167101; 362205866; 361829807; -1; 411673007; 298958798; 368722267; -1; 141889199; 891037915; -1; 912732134; -1; 575217462; 202068597; 728679617; -1; 992273205; 642750298; 321308791; 97354942; 5334531; -1; -1; -1; -1; -1; -1; 311833295; 920215437; 264828367; 589561529; -1; 145888245; -1; 663287082; -1; -1; -1; -1; -1; 530950970; 631847423; 860392580; 54830713; 214208511; -1; -1; 599289215; -1; 85206793; 497652817; 746524498; 550889434; -1; 556486269; 499620117; -1; -1; 455161003; 631514616; 97602300; 802830899; 608548907; 944562989; -1; 200022332; 867398641; 870686290; -1; 249919082; 204071426; 489579709; -1; -1; 791474196; 884444926; 8889859; -1; 340645271; 542611283; 548081261; 95768932; 736624149; -1; 151255030; -1; 29294142; 258264805; 500430521; 60015233; -1; 518594854; 577429491; 731206445; 385053838; 886316305; -1; 856893886; 321743555; 769313409; -1; 474603125; 95192990; 447769130; 402085400; 60471742; 211989360; 789127949; 938623228; 835069972; 297183359; 35357143; 687621789; 529984629; 600072276; -1; 506121248; -1; -1; -1; 986910163; -1; -1; -1; -1; -1; -1; -1; 22933876; 340043676; 564309875; 624495839; 366371069; 805426483; 757785001; 554129203; 847941598; 189331623; -1; 562147469; 218136735; -1; 669276278; 466922767; 372035238; 448180220; -1; 767501589; 175879071; 667760081; -1; -1; 819963969; -1; 407762027; 96445376; 397123289; -1; 659691537; -1; 806078817; 514718651; -1; 203448874; 650152560; 243425200; 234796699; -1; 253475437; 226790918; 519202965; -1; -1; 525702790; 810648939; 229298522; 872176857; 785788241; 211526819; -1; 655771150; -1; 103292567; 262566659; 859111637; 474037977; -1; -1; 823731746; 774446946; 399843643; 67672466; 590209590; 909730093; 86923633; 427422139; -1; 792616803; 81396515; 931242188; -1; 306449080; 796090694; -1; 781584486; -1; -1; 159975221; 265088465; 395142200; 749721342; 306280697; 249621902; 580758617; 170060131; -1; -1; 287769155; -1; 250515660; 654205268; 367765493; -1; -1; 548681104; -1; 192464776; -1; 9169474; 224405965; 440079855; 793824888; 911222993; 539939386; -1; 528338335; 225690293; 808302093; 956651697; 941250358; -1; 49017570; -1; 22391533; 8792096; 92144787; -1; 184020994; -1; 128864030; 962927604; -1; 984134866; -1; 391491859; -1; -1; -1; 618492990; 433931320; 476697951; 764622066; 535084833; 40687781; 227184252; 876082154; 388797593; 248983094; 216938228; 62158732; 31505331; 379839633; -1; 609308685; -1; -1; -1; -1; 410647017; 36821603; 76757177; 252179835; -1; 791073172; 367449680; 193473810; 3641384; 491384065; 23463423; 542915759; 493127925; 895420101; 586470827; 69319671; -1; -1; -1; -1; 303732087; 190572322; 833768699; 220582241; 513120726; 756531941; 474065900; -1; -1; 144933993; -1; -1; 776451065; 495365243; 952383931; 393168677; 632524119; -1; 372915407; 299834841; 9574325; 592452785; 457342968; 739519370; -1; 811782511; 768990264; 157754805; 257047768; 459798800; -1; 123475305; 505105326; -1; 764638661; 927552504; -1; -1; -1; 48301838; 479895992; -1; 351333747; 103536467; 830784127; -1; -1; 390440106; 126680001; 734662313; 500868592; 997876832; 543531877; 421678469; 812890772; 851905279; 570675652; 751953587; -1; 493280708; -1; -1; 651464699; -1; -1; -1; -1; 277209788; 370946871; 123703155; -1; 418025568; 509070940; 242897973; 143644455; -1; -1; 863601672; 257234088; -1; 472875010; 846558792; 623684863; -1; 364039479; 494521395; 595017875; 853624305; 563263905; 113110298; 59006105; 68986444; 320433941; 90864165; 566647849; 229187392; 351230105; -1; -1; 796521238; 654156813; -1; 14079183; 317833223; 665911605; 135889114; 780099841; 573351636; -1; -1; -1; -1; 952713764; -1; -1; 237484509; 629502566; -1; 837589929; 770886566; -1; 260633055; 595332335; 771577689; -1; 141040835; 516269058; 204413750; 315959996; 874303606; 426387762; -1; 573060032; 556876970; 209140281; 875150724; -1; 813170874; -1; -1; -1; 452420969; -1; 84873925; -1; 675341781; -1; 840829093; 224220763; 440322094; 856212471; 708733319; -1; -1; 501284019; 790250773; 854807880; -1; 206350220; 562882279; -1; 643259869; 874556332; 439299339; 844120877; 694279073; 635059537; 798019581; 236096730; 977938637; -1; 480108165; 30910731; 113172330; -1; 434453957; -1; -1; 687228685; 925796128; 599577621; 371003071; -1; 38372873; 562787846; 264237509; 713936207; 324735229; 368733023; 614349024; -1; 732735649; 101660537; -1; 56762936; 584538402; 413253134; 181883793; 378710856; 28899029; 923620134; 678673106; 939531207; -1; -1; 722865324; -1; 922134992; 91475214; 804039820; 791412967; 554490703; 234960147; 583972680; -1; -1; 942355912; 93157539; 636150028; 269081421; 985987341; 751210737; -1; 410855899; 218607043; -1; 424867093; 792173153; -1; 696708334; 701502183; 893804035; 320994005; 419167287; 726704578; 889259775; 421028764; 484254357; -1; 519133004; -1; 49743750; 617160130; 600117648; 444218466; 468427367; 710623133; -1; -1; 676280092; 174835941; 266630162; 392451113; 459246656; 833789756; 934773009; 306306809; 784209276; 625310722; 308406020; -1; 972923478; 67600807; -1; -1; -1; 492828695; -1; -1; -1; 216636094; -1; -1; -1; 815202692; 175832341; -1; 103644639; -1; 919623248; 819338241; -1; 154651590; 192247914; 501188593; 28350149; 794188748; -1; 690883129; -1; -1; 749399306; 694254125; 602942749; 395793588; -1; 78558380; -1; 682085908; -1; -1; 450437827; 125139580; -1; 91973481; 253624983; -1; 441137340; 286267929; 861555821; 910786894; -1; 386521532; 243265748; 382719361; -1; 892465534; 490678645; -1; 666563017; 254625048; 359786390; -1; -1; 455714073; 59545411; 224552724; -1; 212999720; 974290600; 361538676; -1; 404865540; 875767462; 714915817; 737469074; 402595748; -1; 716751204; 469693712; -1; -1; 744918138; -1; 109626463; 338238330; -1; 890476978; 584192260; 220788294; 691042449; 838598739; 697309499; 601294465; -1; 683050992; 92623478; -1; 313462685; 764168462; -1; 375869910; -1; -1; 990442925; -1; 206778574; 433696782; 195837959; 151165069; 688903110; 558826519; 480423939; -1; 86400373; 119019518; 901230002; 89821600; 741625406; 402869108; 929393407; -1; 763567988; 938558520; -1; 779111780; 219967458; 688484957; 245423844; 608062140; 456899735; 258125972; 37018660; 99138569; 680780803; 392144180; 783388725; 57212875; 677976708; 386374760; 864849840; 697572700; -1; 372723389; -1; -1; 566327422; 398867561; -1; 860063504; -1; 542813395; 195570642; 17742759; 450716041; 516182043; 640994801; -1; -1; 655009713; -1; 382194194; 405197576; 241100353; 292703797; 984084446; 753306447; -1; -1; 185948478; 903846768; -1; -1; 389525144; -1; -1; -1; 118972780; -1; 148354325; 340741327; 241101918; 176507800; 762030079; 83133115; -1; 301196537; 4796896; 255328516; -1; 990108565; -1; -1; -1; 207006935; 208323783; 201037652; 289723760; -1; 239392513; 664972692; 864743200; 82489308; -1; 937791338; 783213679; 716833977; 991900354; 828151840; 820226576; 686731678; 975665745; 974560498; -1; 45926434; -1; 629900920; -1; -1; 451504294; 719928990; 792842866; 559898816; 295515683; 35400809; -1; 847297143; 294122128; 661552114; -1; 871608009; -1; -1; 640082635; 758443875; -1; 733612593; 14177015; 403302114; 913747846; -1; 770140498; -1; 688002289; -1; -1; -1; -1; -1; 946842803; 116559715; -1; -1; 823157659; 833994091; -1; 891151993; 903519919; 998468242; 378114112; 767969821; 403637434; 219106292; 355538323; -1; -1; 565002037; -1; 518117515; -1; 859912631; 734012911; -1; 154206110; 758555266; 96497578; 489467144; -1; 349431567; -1; 593208521; -1; 966716587; -1; 285305766; -1; 157659107; -1; -1; 512322551; -1; 189913267; 554907225; 549097694; 70150541; 194311602; 349030742; 890004892; -1; 393608736; -1; 156570026; 759336740; -1; 679547609; 613360864; -1; -1; -1; -1; 306588959; -1; -1; -1; 687961619; 661744478; -1; 946999538; 206740909; 291342961; -1; 973249321; 387392986; 697770129; 970981200; -1; -1; 483401027; 448385023; 42166248; 252905145; -1; 219464911; 966787664; 603335458; -1; 479153284; -1; -1; -1; 480552592; -1; 356790161; 778062884; 649918931; 213558941; -1; 49688204; 781501575; 208313272; 446518940; -1; -1; -1; 223538475; 937905856; 506563489; -1; 266043762; 995949594; 528201712; 381312790; 383803774; 535484282; 76853503; 989615996; -1; 934714809; -1; 969813766; 689545237; 977896084; 733675493; 462041194; -1; -1; 228234279; -1; 104401534; 671549755; -1; 55017900; 660492729; -1; 355590056; -1; 669675242; 322461961; -1; 898596718; 516667081; 58132852; -1; 885961113; 269270498; 644870562; 285986564; 742415045; 458850510; 311087321; 412992469; 715662461; 329891768; 522618969; -1; 846885286; -1; 593415669; 23485597; 779277733; -1; 894021501; -1; 794155468; 471392609; -1; 878876086; -1; 687276788; 150589961; 563534922; -1; 615302917; 316238459; 905345267; 127952858; 953432395; -1; -1; 311217610; 31487037; 664590028; 159863305; 82939049; -1; -1; 51403518; 343548002; 210765514; 487463755; 286890512; -1; 874606826; 239063452; 482844075; -1; 736900120; 649890721; 834396916; 170499556; -1; 423787338; 759489878; -1; -1; -1; 39178853; 975996906; 247942039; -1; -1; -1; 767757654; -1; -1; 27836189; 281024201; 738543347; 233369123; 146614554; 714904086; 42825648; 955969138; -1; 997105685; 19840836; 436930151; -1; 318164873; 804077000; -1; -1; 322804882; 600422360; 441510992; 733261609; -1; -1; -1; -1; 327261883; 1405372; 9601807; 246721088; 700742855; -1; 582695642; 878227830; 379362986; -1; -1; -1; -1; 488268577; 698388915; 388100822; -1; -1; 596991767; -1; 843842442; 260997801; 140990062; 993131654; -1; 132606386; 88722709; 241255070; -1; 43582790; 31681500; 885366507; 4689316; -1; -1; -1; 519766225; 640636423; 178189366; -1; -1; -1; 729694968; -1; 938126524; -1; 610462756; 615939433; -1; -1; 730341142; 492194547; 243666158; 332875672; -1; -1; 444049679; 457800770; 373934304; 267839514; -1; 372028371; 321354460; 320396211; 534500395; 608163386; -1; 298116805; 69513851; 222349381; 556479186; 11440940; 553430622; 969537984; 172742698; 576954674; 975870812; -1; -1; 33512273; 484718274; 943118713; 43485982; -1; 739721990; 149038761; 298833828; 647324678; 542269649; 285311436; 420138650; 998854686; 785674463; 398455126; 537537607; 952454187; 720893895; -1; 612485239; 964072602; -1; 489954691; -1; -1; 634340837; -1; -1; 250123225; 472019801; -1; -1; 511283138; -1; 815620944; -1; 460592423; 945052191; 820305569; 751167202; 889588017; -1; -1; 254148507; -1; 753410721; 773723550; 610796802; 326378259; 845678000; 378876582; 34562259; -1; 863606155; -1; 555969144; -1; -1; -1; 924255941; 504119356; 964008418; -1; 652598821; -1; -1; -1; -1; 504090431; 658162751; -1; 31855053; -1; 32118831; -1; -1; 758478088; 110290878; 6236627; 716230752; 358433639; 217723907; 932541808; 328016220; 348000897; 570522337; 724125238; 665736012; 600821731; 731527227; -1; 58787185; 42699714; 706698380; -1; -1; -1; 882626503; 279313051; -1; 131573537; 916883122; 171612021; -1; -1; 246089503; 767545470; 185295940; 262337648; 63775732; 136937140; 834631970; 473207788; -1; 330616445; 100272542; 412385565; 255998799; -1; -1; 186578048; 237538033; 738269098; 270163687; 766818784; 98994959; 927722973; -1; 840219721; 965168603; 15930894; 294201123; 643514842; 160681071; -1; 442691567; -1; 958872539; -1; -1; 363639368; 767421047; -1; 202715844; 488565059; -1; 298742374; 554435089; 999830443; -1; 418758745; 551214922; -1; -1; 84100851; 746584458; 529304001; 700389155; -1; 82411755; 384247762; 682158596; 56302731; 683101781; 589143312; -1; 202706669; 542637659; -1; 44915995; 763362092; 429964446; -1; 516956492; 764277473; 805217952; 975190704; 318226417; 521101389; 650436039; -1; 708038353; -1; 185484167; -1; 374193976; -1; -1; 596154330; 626852190; -1; 950238742; 346790901; 599758081; 324563395; 457504955; -1; 306514682; -1; 805651709; 368590869; 910985688; 848064783; -1; 166193130; 987124058; 94835491; 899431841; -1; 537478470; -1; 329288838; 524944436; 749747818; 90518936; -1; 988220731; 494587354; 820771497; -1; 698696414; 720438473; -1; -1; 481043933; 344815780; 72822453; 981048832; 726119764; 992418351; -1; 599530788; -1; -1; -1; -1; -1; -1; 972741836; 944793046; 683575799; -1; 49430857; 647419935; -1; 883675595; -1; 769334224; 733241185; 392751811; 160418922; 791381024; 400309368; 627130554; 32026956; 261364389; 477860694; 510381329; -1; -1; 382252329; 272150024; -1; -1; 153639412; 432224804; 812184066; -1; 665424442; 745646155; 509792145; 584485299; -1; 406653; 557155357; 890505807; -1; 224681399; 628893642; 192851705; 203829599; -1; 825669841; -1; 285820982; 945264091; 968955403; 300625880; 622074052; 156461269; 404983032; -1; 148790835; 599858609; 809073940; 564216309; -1; -1; 205419194; 821663351; 931351502; -1; -1; 462357204; -1; 7131339; 789794501; 129797886; 351471919; 263614219; 89921499; 603422197; -1; -1; 865787425; 725537731; 913679765; -1; 464418125; -1; 951603041; 720013398; 290570702; 134002967; -1; 179903361; 837557076; 243026945; 979429810; 841797070; 854694037; 200638053; 24144764; 597477708; -1; 239098172; 182394624; 466244386; 463827791; 173354652; 931788938; 136857655; -1; -1; 38058993; -1; 712913136; 223403482; 749808235; -1; -1; -1; 171301249; 176520290; 365376943; 212866440; 526876518; 884054488; 864538312; 305550015; 191227982; 511835830; 142416070; 439935561; -1; 233177103; -1; 352617334; -1; 515389385; 642969132; 118070782; 550675374; -1; 868411998; -1; -1; 914201252; -1; 103837905; 694531505; -1; -1; 915399663; 613109442; -1; -1; 42480788; 78001894; 623575984; -1; 689081256; -1; 707060638; -1; 289059525; 295191339; 824549257; -1; 249131205; 289078014; 97968280; -1; 690783843; 243908237; -1; 781746958; -1; 584348588; 281424970; 286892152; 820967167; -1; -1; 720048875; 659852046; 352581371; 182286977; 801917562; 301487618; -1; 962630561; -1; -1; 158038212; -1; 195020211; -1; -1; 218952977; 248351883; 285577915; -1; 718361091; 826695678; 382562302; 782320414; 930465530; 623814758; 196286844; 952591446; 134530814; 672922795; -1; -1; 230955653; 365153121; 818475171; 745599102; 571304947; 415942581; 7206141; 468378477; 868815399; 394154337; -1; 470283322; -1; 444432415; 101537132; -1; 401150519; -1; -1; -1; 624185021; 365314120; 695592973; -1; -1; 218798996; 950070858; 651445835; -1; -1; -1; 405619549; -1; 139233302; 30381178; 717246813; 983607383; -1; 187171367; 205236311; 309137029; 979556649; 886200053; 11871945; 131284997; 663269367; -1; -1; 801863957; 974166003; 283943557; 274000117; 23634260; -1; 354063819; 294207501; 794945685; -1; 325442775; 202488858; 258158482; 216103237; 31493803; 926079993; 210373402; -1; 642602594; -1; 732661813; 557917305; -1; 615745828; 897794880; 278392498; -1; 697559794; 231963253; 262444699; 678820329; 220101358; 8888924; 431641679; -1; 628835452; -1; 657590985; 517612300; 574169391; 260918851; -1; 246631129; -1; 520462938; 676866503; 499193536; -1; 263441104; 618523347; 892767922; 443449824; 737458933; -1; 634084418; 911774122; 873362218; 8113044; 213913077; 811179739; -1; 785036282; 427171395; 678988485; -1; 439323714; 964968605; 61613699; 724013090; -1; 675926653; 829356360; 207573059; -1; 789221299; 527073816; 710553207; 642537211; 87574714; -1; 558748384; 884494980; 674300889; 835303330; 508898861; -1; 986544770; 621401449; 734608118; 718827609; 834948254; 484841881; 246039396; 928984342; 366804799; 892337525; 485542299; -1; 776021030; 630474944; -1; -1; 203096828; 949743725; -1; 707052731; 573769718; -1; 402934191; 676593975; -1; 97126593; -1; 304441574; 819769586; 328337413; 379288375; 861041788; -1; 6306653; 817877845; -1; 495721906; -1; 296763807; -1; 217608578; -1; -1; 695489170; 506195112; 742366025; -1; 491983248; -1; 61289954; -1; 328617377; 285538796; -1; -1; -1; 536714612; -1; 796454479; 351613858; 649929807; 196212464; 707523429; 439752184; 985753589; 456191793; 532193012; 833309767; 70649426; -1; 160434873; 649945409; 85010566; -1; 4644203; 694519766; 835549947; -1; 428800203; -1; 878676147; 388754818; 584400488; 848358599; 116209930; -1; 395860689; 215692480; 872924185; 443933015; 789294539; 234385987; 393299286; 586002553; -1; -1; 355614140; 518915035; 986924596; -1; -1; 78607590; -1; 684159216; 51144223; 813652077; -1; 170650239; 202461703; -1; 576298399; 441332623; 764858913; -1; 550428953; 949181504; 395902445; 279461058; 877933898; -1; 702467316; 671502675; 660127584; 176131440; 652240016; -1; 608474865; -1; 649078893; 766183212; 704905975; -1; 847177138; 24927607; 962757521; 695883385; -1; 7643987; 639332808; 307573368; 636038435; -1; 170228025; 734715746; 452054431; -1; 728463235; -1; 39461681; -1; 599861656; 623266273; 469897346; -1; 640331440; 227697837; 68243753; 300020351; -1; 350014618; 464864426; 747540614; 341770482; 774594360; -1; -1; 628169203; 727711127; 304903637; -1; -1; -1; -1; -1; 479825243; -1; 240219293; 535093063; 718990846; -1; 826230218; 518218465; -1; -1; 426441494; 50539438; -1; 746300413; 476232210; 311210886; 767273187; 279558207; 987794181; 701628602; 331224591; 103051613; -1; 418362288; 572606314; 457035748; 111475175; -1; 841572191; -1; -1; -1; -1; -1; -1; -1; 982822862; 828007361; 274496643; 61431478; -1; 463649197; -1; 581692512; 668083831; -1; -1; 204926359; 464277409; 22245993; 189490162; 18010815; 182547597; -1; -1; 953762065; 808697681; 92202229; 981306248; 958407216; 389771055; -1; 432684817; 498780293; 421642095; -1; 123770293; 973132396; 975849833; 590646593; 74574766; 416658760; 684365946; -1; -1; -1; -1; 315239801; 315690623; 248229615; -1; 745303121; 802439329; -1; -1; 858163055; -1; 232179442; 625273988; 332101375; -1; 354594346; -1; 592050111; -1; -1; 526664283; 310780780; -1; 127323240; 660527418; -1; 95798434; 840304936; 384362455; 195414300; 803777467; 226958052; -1; 804915802; 502325466; 317275184; 550459990; 770785611; 629598817; 700293182; 351100312; -1; 648369261; 150880451; 390854990; 251395283; 708405484; 492995459; -1; 293036657; 540915699; -1; 324524899; 287627152; 736947796; 409610311; 906825670; 276494582; 839780235; 502653395; -1; 238249154; 94292365; 331380069; -1; 343529941; 967683482; 409506785; 877326266; 395346491; 670055832; 629913716; 604386805; -1; 388269062; 451151500; -1; -1; 400996798; 797581620; 892414894; 805595616; 566824911; 182037949; 310603763; 151986406; -1; 19487853; 497160286; 523123486; 226078609; -1; 935634471; 228692346; 361885627; 516219680; -1; 196114722; -1; 675757178; 365413450; 594941324; 629470002; -1; 185115227; 289878736; -1; 234855671; 280025469; 967362732; 183528743; 240294332; 618678950; 604223488; 283353791; 491369178; -1; -1; -1; 758676018; -1; 317528788; 545062965; -1; -1; -1; 321571357; -1; -1; 85145877; 86579104; 812260110; 972642500; 370313006; -1; 815371600; 965144826; -1; 280448812; 889468250; 280794358; -1; 128475648; -1; 794073940; 847951710; 329981586; 471765798; 898519019; 984458771; 123461923; 86273724; -1; 631598614; 215539075; -1; 983555622; -1; 463737223; -1; 176937654; 281212452; 147292272; 68239907; 705563607; -1; 101449998; 245937107; 225810808; 658452552; -1; 705851276; 234208260; 966874334; 904522303; 41302408; 580905588; 960618021; -1; 734535858; 727325504; 584136560; 444496214; 728505392; 394587441; 248775656; 133377207; 838980944; 427989562; 135009403; 17253795; -1; 274047660; 996328632; 40975470; -1; 600682748; 179643172; 272020902; 836305373; 34769467; 453446232; 937200889; -1; 629810047; -1; 268587666; 761431235; 323559682; -1; 838791709; 537576432; 985622238; -1; 220810936; -1; 551049414; -1; -1; -1; 788857966; 242111199; 326832963; -1; -1; 319169111; 653746375; 484933682; -1; -1; 116405826; -1; 30247965; 782515224; 724625517; -1; 457931278; 966972193; 124450434; -1; 955854507; -1; -1; 805128937; 937028436; 512810234; 45501010; 254064422; 177303326; 557767634; 164456959; 775094388; 85402587; 616998556; 55291430; -1; 331033713; -1; 609285009; 67632114; 889552307; 130690877; -1; 916724582; 489477618; -1; -1; 60986940; 251255243; 760283034; 842605221; 223482561; 435663246; -1; 117799919; 584344930; 755198090; 480296506; 509410912; 600436748; 442988742; -1; 463662450; 400055804; 886802661; 461051013; 851498896; 795676524; 402459451; 419311940; -1; 41018084; 533140539; 754315646; -1; -1; 512235930; 671416075; 353962233; 529031969; 229789227; 145356933; -1; -1; -1; 275394670; 802896169; -1; 476545449; 507223113; -1; 310428117; 700292315; 774804737; 526026905; 426695538; 783944708; 589274445; 985748593; 517750724; 679975077; 620665641; 950255617; 607295806; 968701515; -1; 595918564; 5401567; 992322116; -1; 302893579; 516179471; -1; 877669594; 863784119; -1; 848420524; -1; 49529443; 458737764; -1; 678406940; 571866223; 267333493; 403912092; 362209704; 897630830; 301044666; 754436637; -1; 562072156; 402086359; 757010338; 13047278; -1; 978547740; 265847727; -1; 647493397; 823885779; 838539714; 469604397; -1; 890955608; 286851812; 522336919; 683445481; 136751372; 598283271; 351819424; -1; -1; -1; 260909089; -1; -1; -1; 96444503; -1; 625648238; 804832856; 863761602; 373137727; 556878534; 318834836; -1; 462661268; 64555565; 605987254; 315501691; 990324586; -1; 832221103; 231997607; 763621021; 294594012; 255540922; 222337077; 835782989; 400255692; -1; 211460553; -1; -1; 37875962; 405071521; 622534176; 847648413; 582215396; 431840733; 727902073; -1; 884638406; 424623099; -1; 35037379; 549635097; 745832956; -1; 446060410; 559502163; 246041905; -1; 760726012; 625270305; 160374082; 88707447; -1; 12359900; 560103089; -1; 831056724; 335003310; -1; 290971534; 132247143; 445216487; 681678034; -1; 629590183; -1; 315384748; 584744606; 233483809; -1; 631186416; 525819424; -1; 338123007; 422607232; 647308072; 107862131; 568592272; -1; 435670487; 85684439; 17636065; 230129410; 761189977; 814068923; 539449863; -1; 305231496; 44960580; -1; 177521099; -1; 343823009; -1; 697641800; 381568040; -1; 109414415; -1; 111289037; 835969940; 427987401; 458289117; -1; 983875465; 418792421; -1; 538389850; 808194010; 665926517; -1; 803168091; -1; 794877592; -1; 9064553; 367031241; 347159819; -1; 65149570; 825246539; 486951087; 310401406; -1; -1; -1; 348536379; 128981552; 906827001; 51901892; -1; 662342316; 70493553; 101963142; -1; 981788080; -1; -1; 405104367; -1; -1; 613032423; 721517015; -1; 214746683; -1; 160834846; -1; 533104761; -1; 721483204; 879962525; 774106514; 28332962; 507214979; -1; 312002710; 897084772; 62140091; -1; 360429841; -1; 746281329; -1; 113844009; -1; 852066418; 650600079; 780805430; 818163629; -1; 583064354; -1; 49341323; -1; 217236410; 988144571; 213206908; 907192753; 760576957; -1; 90871304; 533904506; -1; 124941537; -1; 902329272; -1; 268766802; 82111211; 71387220; 712901962; 602626718; -1; 647794393; 694695079; 299235994; 533493944; 227135911; -1; 913334514; 980594817; -1; 146430781; -1; -1; 957862856; 61683924; -1; 7028197; 287179348; 149675775; 431887651; 677728704; 358702238; 209185103; 779339727; 338070852; 466167453; 38748579; 592838380; -1; 366950612; 674941388; 950574765; -1; 787192748; 38143979; 41007823; -1; 981936660; 871647898; 264870592; 84962698; 388101446; -1; 819132598; 973020964; -1; 143616147; 213604011; 668958875; -1; 712120673; 378062953; -1; 652397889; -1; 414634885; -1; 647632864; 471212710; -1; 945628344; 716959536; 377973270; 69570299; 647152256; 313350659; 849940432; 390153808; -1; 66063569; 934732012; 835009534; 116951212; 78225681; -1; 55187873; 719106234; -1; -1; 416168978; -1; -1; 531800402; 210166714; -1; 322326506; -1; 396068810; 169759209; 293570971; 321568114; 143018700; 720074672; -1; 226835302; -1; 963448085; 900212560; 776276583; 236431205; -1; 23211550; -1; 571999398; 395654569; 526781852; 466784300; 24326759; 586597965; -1; 528231660; 122431718; 384039399; -1; 338818808; 115820794; -1; 220716945; 515841451; 115111323; 920474717; -1; 424077963; 693379024; -1; 524007838; -1; 832690326; 671935596; -1; -1; 163799465; 305715709; 473778584; 197572146; 932262443; 827137873; 835825821; 107168463; -1; -1; 814710095; 109915102; -1; 17837122; 93251632; 302725011; -1; -1; 657269358; -1; 220542477; 867239842; 928278444; 498617461; -1; -1; 241729289; -1; 50489200; -1; 853706017; 482959322; 938591239; -1; -1; 343271690; -1; -1; 64427954; 192317801; -1; 274763421; -1; 359433321; 302865210; 144823879; 639296005; 473348376; 731323966; -1; 485480790; 788468318; 659349983; 750301561; 349704728; 610407017; 610961893; -1; 613918029; 561872878; -1; 972921532; -1; 132949805; -1; 368771800; 292719685; -1; 451739770; 455294770; 718372741; 935778304; 947922665; 371087222; -1; -1; -1; -1; -1; 302905995; -1; 644635735; 596701487; 647870756; 736205992; 248227912; -1; 290215555; 936930591; 450455458; 161241642; -1; 723041390; 305062778; 342489583; 531649344; 698418412; -1; 210486796; -1; 457986401; 756928735; -1; -1; -1; 501762778; 688094938; 108486641; -1; 611334917; 951104551; 855445625; 296314662; 240846836; 120140200; 21932799; -1; 293822014; 469097115; -1; 757917785; 393889921; 807255001; -1; -1; 738343602; -1; 966406633; 178428367; -1; -1; 221067037; 324405560; 649714931; -1; 137639817; 947250056; 214036928; 261586107; 331636239; -1; 176556363; 655454146; 271442168; 141477947; 779650175; -1; -1; -1; -1; 668820050; 153014544; -1; 619441652; 24528776; -1; 553500092; 158941118; -1; 17430119; 640152520; 358720611; -1; 73878160; 990410311; -1; -1; 824083508; 970065117; 706442009; 74494862; 899554140; 291246543; 134813365; -1; 780656805; 770242217; 32852855; 832429177; 474041379; -1; 271292636; 872260202; 132938167; -1; -1; -1; 771481029; 479607101; 914550551; 106655239; 221934251; 679669553; -1; -1; -1; -1; -1; 934601700; 870184251; 149963426; -1; 717609403; 675575206; 553210736; -1; 71377925; 684346749; -1; 439177917; 952786075; 315979102; 901685934; 417867318; 669523293; -1; 612395826; 73289217; -1; 592470958; -1; 708518057; 359403880; 487512039; 532729073; 369414185; 155492060; 599651216; 182887034; 432220446; 326602776; 949922425; 942499643; -1; -1; 915086209; -1; 137148402; -1; 253738728; 288692884; -1; 896237408; 861819665; 818969635; 302783159; -1; -1; 492416584; 919883665; 793763276; 284091027; 492154440; 225421498; 250194083; 503238509; -1; 391317477; 43887881; 35488252; 974637278; 943502114; 74251707; 565583899; 237617622; -1; 286283643; 531461011; -1; 525906044; 168676028; -1; -1; 983393625; 658695448; 518238120; 309767838; 481217047; -1; 605077875; 819521104; -1; 469337099; 230134651; -1; -1; 892963686; -1; -1; 121039969; -1; 407949375; 142104470; 249357479; 444216813; -1; 592654915; 794583325; -1; 590875128; -1; -1; -1; 649699580; -1; 104796078; 830811812; -1; -1; 902825828; 992085005; -1; 123122900; 201709906; 172358121; 89780866; 736278359; 719687975; 26965823; 924830508; -1; 280739121; 164940466; 60453710; -1; 464280859; -1; -1; 921801758; 962100868; -1; -1; -1; 941558574; 784288478; 790296255; -1; 77475405; 147521587; 281639134; -1; 699464225; 799009540; 907163437; 568510153; -1; 988718186; 596954620; -1; 586367149; 460321019; 593874789; 327025952; -1; 183812009; 610428430; 33384260; -1; 469424493; 776798896; 517706636; 706048335; 750724421; -1; 482551671; 863201861; 547771721; 498976993; 724847514; 551380167; -1; 985341757; 551443205; 341957746; -1; 832969700; 374123098; 992354336; 21672193; -1; 755806307; 320997751; 179457153; 10836344; -1; 860041942; 533845162; -1; 48433794; 535594909; -1; -1; 177230203; 85660167; -1; 848325860; 881418237; 497052614; 933000846; -1; -1; 460668567; 113418572; 861222688; -1; 178839044; 526744243; 687995037; 177795005; -1; 924650495; 392775611; -1; 579733739; 286158423; -1; 998407930; 546742037; 881154536; 571301543; 874427099; 994492136; -1; 681899443; 355005656; 830468606; 967972356; 97350967; 961971412; 93233426; 925699689; 230077488; 584910204; 574661221; 792110813; 535604515; 108569500; 173498637; 297519153; 2940313; -1; 612726872; 985395621; 504173751; 515996230; 455893767; -1; 189937986; -1; -1; 660564740; 221991468; 629190781; 362567715; 496512548; 867619599; 25313855; 719692574; 948220502; 361031209; 431102788; 771559185; 118681604; 100793770; 806520585; 982760260; 797383160; 260469094; -1; -1; 360814299; 850237126; 673760273; 753800584; 691150151; -1; 280391273; 607972764; -1; 227254750; 940657491; 481904670; -1; 66385916; 586094376; -1; 119550940; 505371776; 145045574; 849751161; 170002549; 581849898; 482427889; 826631319; 457268056; 9975408; -1; 304767542; -1; 862758297; -1; 598040145; 496389675; 635062891; 365179642; 475247481; 760454362; -1; 41615163; 280231240; 430253409; 22162863; 589922340; 152049180; 315619585; -1; 733140531; 557611647; -1; 749376807; 50251261; -1; 565732734; 419070345; -1; 129893477; -1; -1; -1; 544318139; -1; 325478250; 106080422; 405833062; 193724731; 372425513; 297505560; 386563692; 902215872; 149064198; 212074323; 981146356; -1; 289044699; 414181433; 180716274; 186121446; 77524239; 550809931; 362736699; 78727526; -1; 417547385; 374454967; 697628282; 946446747; -1; -1; 351188276; 823180477; -1; 238682283; -1; 491190051; 879454531; 422603992; 864295495; 493927797; 752913889; 480928059; 22145686; 698458326; -1; -1; 776991572; 558029870; -1; 267787183; 622064514; 118329929; -1; 276623892; 478376395; -1; -1; 398711569; 152547874; -1; 492666102; 270537157; 838018323; 655951030; 150208800; 357667071; 332739732; -1; -1; 60997961; -1; 282898760; 240698130; 856051473; 724074213; 574482673; -1; 66567680; 57234488; -1; 528097238; -1; 948587731; -1; -1; -1; 462400394; 406279644; -1; 370375194; 621412179; -1; 984453415; -1; 676051479; 505193413; -1; 350468223; 57391352; 947774691; 645534767; -1; -1; 148733723; -1; -1; 858874024; 551870229; -1; 834115737; 14736331; 681222769; 139330305; 815853040; 858258582; -1; -1; 800179900; 319574072; 853750443; 224865600; 728349387; -1; 738788858; 766950231; 748686733; 684162273; 430084160; -1; 840592063; 398290146; 507123052; 898541981; -1; 643156059; 930493419; 233025935; 985043918; 831779152; 166644437; 591404754; -1; 386060799; -1; 55742174; 37601463; 349769757; 290976383; -1; 779635012; -1; 949855968; 634485818; -1; 847298422; -1; 950525019; 459920446; 125769792; -1; 84257551; 474524327; 579187058; -1; -1; 296878434; 99032592; 73400832; -1; -1; -1; 554366730; -1; -1; -1; 867601982; 185819758; 670749210; 788875085; 728532682; 846849975; 201385786; 536341968; -1; 217487624; -1; 385831304; -1; 624296239; 686078509; 675526160; -1; 604280183; 991087350; 909493518; 760504185; -1; -1; 350556509; -1; -1; 119731123; 49828379; 9179698; 591678726; 407972305; -1; -1; 191763282; -1; -1; 735826390; 462219728; 415372367; 244276430; 752762322; -1; 350629211; -1; 686170982; 840172302; -1; 387608951; -1; 431283660; 410121702; 900305493; 265635359; -1; 423518694; -1; 713166665; 618799103; 790968872; 821201487; 141731035; 866064253; 182218377; 952998513; -1; 789831603; 266060097; -1; 869254427; 420838411; -1; -1; -1; 872495402; 49000918; 351395944; 592003184; -1; 636253094; -1; -1; -1; -1; 690263042; -1; 125609853; 9632629; 512544506; -1; 271410617; 292212586; -1; 357199492; 789145742; 758200955; 845254176; -1; -1; 69191366; -1; -1; 556482114; 921373736; 469505761; -1; 894221984; 14878866; 516430708; 722125081; 44538418; 8063479; 879201960; -1; 342690970; 786410330; 852132671; 139519621; -1; 645782454; 175594476; 38535795; 574053400; -1; -1; -1; -1; 366554318; 394085090; 279292177; -1; 252971832; 595734126; 717046234; 18299865; 159784991; 801228629; 835941323; 670574678; 476915578; 974939927; -1; -1; 596649152; 238817952; 183325522; -1; 2713764; 161606875; -1; -1; 666621770; 171910796; -1; 228967722; -1; -1; 938328345; 549521611; 69601331; 674669741; 434247986; -1; -1; 864420585; 929784665; 378284842; -1; -1; 65340653; 636763621; -1; 30512709; 390247798; 124265188; 949735197; 502671997; 738104069; -1; 711583385; 673106688; 738674782; 559833690; 215348658; 87604016; -1; -1; 269049269; 445767776; 378388263; 241520257; 941357796; 143541993; -1; -1; 537241687; 976592176; 589859837; 625355178; 547954344; 564827357; 728337472; 411179133; 154824792; 164113303; 399198654; 390653117; 760551764; 829414547; 747102986; 260165576; 620416158; 250065381; 539667322; 64777422; 344518290; 97298302; 882284977; 60018059; -1; 775274434; -1; 250870666; -1; -1; 688278050; -1; 379176705; -1; -1; -1; 718806737; 485899605; 211103153; 713566050; 642665602; -1; 303981229; 113451235; -1; 674088784; 759526101; 505023360; -1; -1; -1; -1; 473265228; 775054839; 973732446; -1; -1; 768642701; 290156763; 203785941; 319492643; -1; 458981429; 158564274; -1; 600067657; -1; 944604304; -1; 621310617; -1; -1; 541038785; 348550368; 788492521; 261394403; 219334806; 105442800; 91821932; -1; 348689209; 363036437; 553705680; 658942068; 147482869; 852191686; -1; 89822037; 786069720; -1; 460140717; 526882369; 952912186; -1; 127574349; 340620851; -1; 699798575; -1; -1; 331111456; 419228582; 267336541; 721328891; 949493931; 346251408; 916040800; -1; 492990621; -1; 414805251; 466025396; -1; 844034672; 647190031; 134297604; 775279556; -1; 399609390; -1; 629957208; 337596496; 340876129; -1; -1; 993526926; 483855338; 159075286; 391082205; 672987702; 868741849; -1; 266300537; 1782594; -1; 725069607; -1; -1; 378667622; -1; 569809348; 969534252; 140277049; -1; 619479924; 966374294; 795757124; -1; 306925853; 374446805; 17779233; 428282001; -1; 895692146; 251484736; 215350437; -1; -1; -1; -1; 180621486; -1; 826804300; 781084666; 72634154; 932690545; 530925739; -1; -1; 231781240; -1; 148567736; 289349884; 725145308; 517650292; 427833455; 563504876; 706673858; 526985902; 901737364; 21185385; 90271908; 474542658; -1; 851485032; 339755001; 843910371; 996468591; 217608780; 526216748; 840896546; 615126157; -1; -1; -1; 314225425; 808828923; -1; 945366188; 804500569; 36592857; -1; -1; 696447430; -1; -1; -1; 742599284; 485886479; 65104311; -1; 19374323; -1; 563429856; 700845458; -1; 181419530; 526027245; 667282761; 473627894; 407394498; 394328276; 233886635; 92847226; -1; 624289546; 454403137; 362778479; -1; 847675722; -1; 42771966; 273873479; 169801327; -1; 854481067; -1; -1; -1; -1; 78606208; -1; -1; 254814280; -1; -1; -1; -1; 760360468; 454864803; 470914369; 647150470; -1; 215033875; -1; 970987748; 431738692; 374510792; 659482484; 573159402; -1; 117231611; 861574110; 443664456; 994436606; 537226353; -1; 595656408; 42920443; 813822974; -1; 510640869; -1; -1; 120381530; -1; -1; 732186438; -1; -1; 907679449; 40206908; 50667013; 139574944; 265140165; -1; 646800288; 64921400; 863932628; 686843642; -1; -1; 736567108; 314316161; -1; 129325029; 683450350; -1; 547390798; 501395618; 633639047; 121295078; -1; 299536059; -1; 164350249; 411961602; -1; 182553195; 693732788; -1; 89350853; 410932043; -1; -1; 253124514; 847014609; 346815576; 572335477; -1; 223568487; 161670645; 283908681; -1; 73435025; -1; 736919285; 980564221; 562376175; 467011998; 616323638; 438338431; 338256148; -1; 672230682; 17134053; 65196609; -1; 973633278; 416905163; 590634477; 528933173; -1; -1; -1; -1; 350976331; 909106304; -1; 998864653; 869707165; -1; 433528503; 323578241; 436152501; 164867380; -1; 698768704; 934861967; 600820282; -1; 990955047; 780487967; 605430559; 757026269; 421550481; 347225316; 162612897; 718767693; -1; 89040345; 893883964; 188006388; 813227867; 794230045; 521426573; 784216080; 542295804; 558368005; 171696720; 372450903; -1; 880226053; -1; 336735893; 660432413; 181604037; 493184941; -1; -1; 36133377; 688075965; 285757374; 970170763; 58470121; 368997218; 459341926; 447741146; -1; 419185784; 654530937; 232385366; 205376562; 375624818; 957351447; 175866314; 535830476; -1; 364462235; 948414926; 463553438; -1; -1; 833446211; 224111968; 86557072; -1; -1; 580690313; -1; 344631847; -1; 715808833; 61206202; 816092059; 899678202; -1; -1; -1; 506613461; 794764452; -1; 485160316; 723211587; 687430623; -1; 279931920; -1; 910110399; -1; 112160888; 376062416; 528633966; 83902044; 36881900; 702065854; 579259187; -1; -1; 903803378; 865777666; -1; -1; -1; 550830768; -1; 900542956; 489236961; 415133890; -1; -1; -1; 490136567; -1; 253385982; 910126578; 633287127; 952814392; 452656314; 158531529; 101370659; -1; 890986353; -1; 641889377; 683069732; 176494820; 768740367; 34959418; -1; -1; 450675023; 187179392; 258017563; 956584179; 274292130; -1; 385331194; -1; -1; 835161005; -1; -1; 217612010; 28891317; -1; 563610845; 611568230; 237091876; 289397801; -1; -1; 739129923; 557051009; 3118147; 643088845; 738876822; -1; 822979183; -1; 190188368; -1; 352119517; 18141975; 118540437; 303013099; 647637362; 363679860; 768282996; 671170401; 751791891; 676372698; 143816996; 941033256; -1; 133193216; -1; 114311518; 396551121; 467565884; 964127206; -1; 458745149; 33791250; 152501712; 408095287; -1; -1; 586445897; 19992230; 340221474; 95365; -1; 366925824; -1; -1; 323321885; -1; 146373259; 855782698; 276848072; 480238398; 193471902; 5716601; 129114408; -1; 891498198; 364041071; 498406008; 621299190; -1; 445175732; 842380791; 334133124; -1; 131713919; 845257620; 866844661; -1; 339056643; -1; -1; -1; -1; -1; 788252403; 833753334; -1; 979593501; -1; -1; 848672168; -1; -1; 129149175; 249162847; -1; 250484143; 103730820; -1; -1; -1; 531217062; 786815155; 769723233; -1; -1; 654325460; 136721294; 367347430; -1; 633335696; 343320744; -1; -1; -1; 65340539; 861016639; 828859606; 569813328; 705191344; -1; 787551401; 152617495; 851744270; 862116529; -1; 470865678; 563612635; -1; 328551147; -1; -1; 602967812; 785899863; -1; 818124654; -1; 489699045; 216374950; -1; 791454435; 864029040; -1; -1; -1; -1; -1; -1; 159862293; 514519418; 90498196; 989908272; 345020633; -1; 493655785; 442994053; 418087212; 214571897; 844883794; 552737436; -1; 444072740; 882717564; -1; 98593999; 109981793; -1; 932507410; 665849035; 755824; 308581364; 791132324; -1; 291054959; 280277128; 287746016; 957302512; 192722557; 789577163; 885374559; 231716424; 702310504; 855160109; -1; -1; 956190607; 641290284; 974805545; 234742809; -1; 711320695; 28111530; 621138259; 17163725; -1; 698880241; 802608932; 382607786; 193265425; -1; -1; 529587857; 938634039; -1; 191630298; 498505353; 200594689; 569828458; -1; 971715332; 900263945; -1; -1; 578889238; -1; 65715090; 749461643; 375636337; 627160240; 846230715; 696327656; 105755288; 204447567; -1; 999720592; 187593811; 344159456; -1; 505417688; -1; 450814943; -1; -1; -1; 25612357; 607031172; -1; 108121401; 573981942; 10236285; -1; -1; -1; 951329325; -1; -1; 929845916; 774089394; -1; 360011258; -1; -1; 21292830; 293412497; -1; -1; 360688928; 492530518; 897941273; 288920655; 221487216; 136820259; -1; 83174785; -1; -1; 992363670; 511182474; 196796078; 109277351; 826254431; 360804744; 580780509; -1; -1; 571640375; 29607695; 739865532; 660331277; -1; 850540939; 671567373; 663943128; -1; 764717764; 68709568; 43735488; 776061679; 391136455; 814755368; -1; -1; 564590031; 75814086; 120096435; 260256830; 140901272; 901685787; 230417447; 8890381; 513609845; 688140301; -1; 111194747; 465872925; 17231097; 807031012; 454193933; 732642012; 441255059; -1; 649605125; -1; 120461791; 749074121; 821571947; 658563091; 38291902; 965056062; -1; -1; 38177214; 658072105; -1; -1; 338547545; 926019220; 558581784; 652260524; 200073438; -1; 696916965; 587926617; 119639282; 376949900; 934439853; 514114930; -1; -1; -1; 103299886; 948870755; 233266047; 253649477; 786672575; 328961088; 742239700; 519789984; 214291961; -1; 556534985; -1; 753421408; 890021271; 972076010; 166420642; -1; 408847573; 451476196; 863797578; -1; 476986577; 324451879; -1; 24781124; 958411579; -1; -1; 974812648; 13988070; 809102846; -1; -1; 167236294; -1; -1; 238550699; 9908602; -1; 280558642; 560063386; 755083668; -1; 957773007; -1; 614716781; 319222029; 974432377; 989564129; -1; -1; 923463290; -1; 255850146; 222489237; 194502411; 779194931; 947517067; 674479696; 497162338; 262101349; 567884973; 964813803; 534712293; -1; -1; -1; 571936233; -1; -1; 9173529; 519410248; 39445435; 170194879; -1; 264096711; 496194706; 402777082; -1; 889957299; 995589682; 315673030; 741282640; 30316888; -1; 65508451; 307217817; -1; 337124264; -1; 221606655; 938504853; 389736327; -1; 106282563; 859647431; 2453971; -1; 964837263; 570158015; 598355282; -1; -1; -1; 994191260; -1; -1; -1; 835718377; 803957410; 390137559; 629207030; 87594135; 18974092; -1; -1; 993735403; 441555173; 18655531; 60096217; -1; 569702296; 278152033; 142802426; -1; 368777876; 382966758; 920612752; 933634627; 180271100; 149537475; 969509548; -1; -1; -1; -1; 10002641; -1; 851645147; 444868753; -1; -1; 599357029; 569967276; -1; 545179811; 935756922; 827002236; -1; -1; 48310052; -1; -1; 593323607; -1; 532982413; -1; -1; 83855944; 224412473; 752880203; 269560378; 556945133; 218561222; -1; 209300875; 584012738; 774699851; 379821824; 829925168; -1; 804508041; 435753869; -1; 278554023; 843911353; 57057512; -1; 489175014; 447422378; 814471996; -1; 390692002; -1; 642246018; 839453168; -1; -1; 278781213; 85951361; -1; 484403358; -1; 481870444; 592255229; 39859091; 33853735; 539737351; -1; 999808968; 126977048; 785086024; -1; 663677381; 505566998; -1; 459245910; -1; -1; -1; 217375095; 139447098; -1; -1; 83041983; -1; -1; -1; 363809294; 620045178; -1; 615365901; 293808128; -1; 152318811; 878946862; 560798893; 833778689; -1; 8147260; 191870234; 311868228; -1; -1; 999508450; 841491914; 473526755; -1; 25411755; -1; -1; 821294404; 166758161; 474811624; -1; -1; 137937224; 152773807; 697578888; 196617345; 831852614; 371902208; 948408707; -1; 945587761; 677113908; -1; 508912778; 702171422; -1; 84715156; 541074036; -1; 483762141; 62569425; 333129895; 243518731; -1; 933416905; -1; 319767691; 928059535; -1; -1; -1; 117175083; 32450512; 823571115; -1; -1; 612646531; 197232407; -1; -1; -1; -1; 658732170; 504813832; -1; 581841728; -1; 269615470; 666645385; 166030274; 847908210; 52477319; 39917608; -1; 384063016; 4104995; -1; -1; 201426079; 150684761; 460415921; -1; 103886802; -1; 885973346; -1; 721824797; 302888153; 36110571; 684755668; 92148825; 801659229; 908847039; 580058516; 483826040; 380124767; -1; -1; 168027299; -1; 644367542; 512242293; 467829304; 633782717; -1; 240730532; 131147214; 40876332; 917027660; -1; -1; 790785524; 190095575; -1; 206043985; 25793373; -1; -1; -1; 109634953; -1; -1; -1; 652831304; 734437591; 192651725; 548416622; 361815144; 209487981; 449909005; 458075514; 148694379; -1; 132588413; -1; 877838671; -1; 686255328; -1; 189212725; 855509486; -1; 718914560; 274306526; 971507755; 900609701; 921188323; -1; 6500014; 852985159; 498398996; -1; -1; -1; 205194558; 486962523; 203722046; 764960350; 999633780; 544123794; -1; 807363136; 111799665; 696154431; -1; 960181358; 801510223; 205880081; 621627971; -1; -1; 553863216; 148136283; 511882798; 802368478; 68994706; 419940093; 381658898; 821780444; 571297133; 206256215; 130080515; 768059045; 221641386; -1; 874762977; 252119022; 130557128; -1; 718289703; 512138624; 764170379; 187657926; 221673599; 83242719; -1; 799023476; 85079357; 439764185; -1; 151767991; 147414757; -1; 257670531; 45106647; 867345315; 281685538; 655824098; -1; -1; 962263884; -1; 723418985; 300033715; 764646937; 232810117; 9947061; -1; 327666832; 169538118; -1; 530832921; 421778718; 650705491; 364777294; 418582154; -1; -1; -1; 45137996; -1; 387783166; 255067265; 873374995; 42265496; 759758750; 140197664; -1; 253070507; 983082257; 871859986; 675536446; 96826405; 31579530; 750605950; 745912616; 341196292; 448054111; 301696013; 664463336; 995438248; 430646298; 667142081; 304937932; 16322569; -1; 219293258; -1; -1; 208407704; 547087868; -1; 725035003; 417078131; 742199013; -1; -1; 409823514; 534733585; 731390353; 887024477; 598930981; 152868042; -1; -1; -1; 181278012; 279055496; 754713077; 980759184; 433009900; -1; 320885173; 869736774; 688191585; 183540144; -1; -1; 850461213; -1; 867395999; 838797284; -1; 337499592; -1; 648212025; -1; 814692692; 977527142; 881035468; -1; 675618949; 145096739; 839523436; 466551671; -1; 866389635; 852787084; 57122570; 934641278; 544413404; -1; 714744033; 802682400; -1; -1; -1; -1; 828558721; 958682095; 607808229; 508598442; 626771647; 907380687; 687826943; 895016353; 25636051; -1; 854148429; 750828044; -1; 832053306; 596222484; 454739799; 626906206; 769052415; -1; 293307690; 137964258; -1; 571246420; 529988528; -1; 342517399; 479335590; 577981802; -1; 505252790; 971049914; -1; 546339277; 823474206; -1; 942004639; 765222929; 187653456; 144344884; 13644597; 974888943; -1; 85736521; 603207649; 85003787; -1; 939815538; -1; 671368480; -1; 747777782; 501942584; 172986286; -1; -1; 102021161; 874074333; -1; -1; -1; 425854497; 641885676; 46190162; 100221829; 56112165; -1; 338561059; 569432414; 764764155; -1; 717745601; -1; 974448543; 21468348; 705668717; 871273520; -1; 940076838; 995807406; 497601100; 594811780; -1; 502919875; 419041240; 223896665; 288161424; 686899367; 49355787; -1; -1; 237259298; 208516272; 653206065; -1; 809023842; 769914462; 410316527; 926007760; 151950294; -1; -1; 411429295; -1; 960239690; -1; -1; 293268667; 610517990; -1; 708385326; -1; -1; 503565104; -1; 318804495; 818585532; 707894378; 906846032; 648388092; 894623270; -1; -1; 86239982; 467431031; 327850797; 511648530; 867464381; -1; -1; 550816477; 801847612; -1; 776538503; 937466058; 692923751; 850298975; 205873580; 454785864; -1; 242781070; 954948192; 223641390; 787194929; 496897767; 255622679; 641803517; 787335927; 253534823; -1; -1; 613513747; -1; 266899993; -1; 650296197; 266556551; 898361232; 643457388; -1; -1; 993900999; 227238938; 592749397; 169110508; 301371977; -1; -1; 358429452; 462367281; 855469611; 934635852; -1; 530540439; 305114986; 287618799; 418620707; 252543760; 67810807; 989894859; 255887060; 681321328; 550059380; 749743544; -1; 217325851; 601457699; 868812366; 494025230; 714042191; 355359921; -1; 255178077; 762538345; 659432497; 850253934; 120699187; 265420542; 508320045; -1; 792988854; 130661332; 395822387; 799700242; 469827985; 185492180; 455025901; 373295053; -1; -1; 710907097; 78914831; 388813624; 192777041; 997767140; 135840734; 867569329; 835239840; -1; -1; -1; 924044362; 428092754; 196406970; -1; 455163861; 745006258; 251485120; -1; 216019761; -1; 718381972; -1; 338320871; 95554164; 504895632; 376832759; 948180414; 210045201; -1; 795488964; 466480166; 659771595; 813366284; -1; 722536688; 255424940; 77214770; 380494615; 472926188; 733704346; -1; 912430795; -1; 518958486; 693260671; 779721202; 55296351; 133411318; -1; -1; 728911910; -1; 461601908; 857889120; 591598053; 600631116; -1; 798911078; 236457857; 139842023; 488278914; -1; 535774554; 346993118; 835518825; 427681441; -1; -1; 41728861; 581188297; -1; 3457511; 176475711; 974336231; 213905968; -1; -1; 728333381; 920609975; -1; 223110161; 967602306; 410838852; 69296729; 37071344; 346368199; 64421188; -1; 649613661; 711232113; 353515878; -1; 668033258; -1; -1; -1; 87893879; 969563467; 480648038; 798144657; -1; -1; 264761415; 110853375; -1; 619285252; 646150914; -1; 530448147; 755488528; 175873109; 864686941; -1; 580739678; 817195098; 750003529; -1; 266578800; -1; 220983048; 854138664; 296861778; 12674673; -1; 722403912; 652570277; 685449730; 145458443; 366389641; 645060995; 690134321; -1; 277850960; 332814324; -1; 416036917; 711842909; -1; 974170924; 585321129; 726414895; -1; 809556229; 578778137; -1; -1; -1; -1; -1; 264606900; 341211616; 780589962; -1; 175770714; 467100150; -1; 579822338; 940403110; 167339777; 70089449; 648406851; -1; -1; 46911489; -1; 101668402; 80008403; -1; -1; -1; 715096228; 300329466; 10443825; -1; -1; 562768601; 359238207; 912012954; -1; 217704778; 836676548; -1; 27787502; 735125191; 37830132; -1; 348983524; 676697332; 756752562; -1; 643981244; 652338013; 941277662; 490360037; 46113635; 656483608; 419032569; 466043147; 5204107; 694209521; -1; -1; 719379941; 324240272; 470056832; -1; 623283552; -1; -1; 15735121; 892358115; 624826358; 652546111; 647821769; 491261131; 286289936; -1; 462696365; -1; 713132709; 540265106; 890205681; 947114501; 551811903; 456477179; 570100671; -1; 16184078; 137670953; -1; 768225368; -1; 257037825; 11799883; -1; 431422838; 419411429; 696229392; -1; 7269214; 325319252; 619780389; -1; 935126713; 922648644; -1; 915517253; -1; -1; 377140099; 177916971; -1; 985165296; 979786038; -1; 732504917; 815033346; 700523281; 613240865; -1; -1; 363317266; 161815244; 936518686; 334021890; 849714411; 627614001; -1; 170525155; 509092938; 191367801; 394106927; 62316895; -1; 313670735; 583623901; -1; 254192848; -1; -1; 335963167; -1; 817098016; 591646183; 561348866; 915738257; -1; 213423941; 306980722; 731894206; 975189858; 145373477; 214952319; -1; 53458618; 243836628; -1; 340447195; 311497331; 441250282; 823869444; -1; 492909322; 361636463; 360926649; 126821061; 825496581; 690334152; 544151298; -1; 865978086; 709824319; 488685624; 550946436; 372099443; -1; -1; 257858391; 370783436; -1; 365136445; 787845637; 109681191; -1; 930528951; 299240437; -1; 306820063; -1; 766218260; 846796550; 934122688; -1; -1; 154439360; 824292483; 932894213; 146200477; 261190523; 4028104; 433524335; 576142602; 891669905; -1; 288352049; -1; 64370358; 120916380; 852894926; -1; -1; 920487300; 865819067; -1; -1; -1; 198064613; -1; 884617077; -1; -1; -1; 527591505; 296699056; -1; -1; 379538872; 246629319; 43343638; 501547556; 887415084; -1; 602211653; 789337465; 64051519; 674099145; 574163687; 276312664; 21077702; 835479805; 232324761; -1; 396586017; 629386251; 357160909; -1; 874597138; 513813969; 882225480; 615557486; 910610783; 239672256; 563957627; -1; -1; -1; 780456463; -1; -1; 540846613; 88210420; -1; 346212907; 414009916; -1; 302929275; 317167765; 208971269; -1; 490444004; -1; -1; -1; 470036561; 458847174; -1; 874767922; 746946100; 617734344; 870709603; 423434899; 15860146; -1; 601080179; 597580321; 545516185; 865416183; 432136756; 336588709; 429854642; 785081550; -1; 807260432; 76343541; 661504797; 27470899; 299204120; 7406223; 309454199; 157468060; 260984519; 888322208; 824392454; 212388252; 366212835; 597938024; 511037448; -1; 614677048; -1; 249848807; 428719059; 255137787; 902076238; -1; 840174370; 280431522; 529648757; 522225846; -1; 563283669; 741978872; -1; 879940659; -1; 363722980; -1; 843866553; 354572149; -1; -1; 908537173; 439490901; -1; 312132544; -1; 45709072; -1; 22205169; -1; 277652728; 945585388; -1; -1; -1; -1; -1; -1; 94228930; 845570042; -1; -1; 495313604; 988005487; -1; 523475065; -1; 801458966; -1; 925693832; 379386185; -1; 953905763; 683296075; 730431496; 346703362; 102102906; -1; 263207143; -1; 737028538; 958087941; -1; -1; -1; 823911394; 772472056; 276063689; 364948898; -1; 868598416; -1; 82073146; 105389591; 145328949; 706880401; 307155266; 769833296; 582596515; 771690147; -1; 884153526; 14822334; 875335380; 692409762; -1; 89271399; 174645630; 322637814; 225934459; 837651871; -1; 995641019; 427245126; -1; 230569547; 29836271; 114958590; 506655072; 55572521; 804614034; -1; 350952830; -1; 702041365; -1; -1; 329325227; -1; -1; -1; 702884699; 417326997; 304087021; 44916501; 156868976; 640768067; -1; -1; 749198943; 698762860; 60809094; 299545336; -1; 891315147; -1; -1; -1; 422987161; 662406418; -1; 633272913; 599488111; -1; 299605767; -1; 502255411; 408571535; -1; 404808977; -1; 605501632; 596737444; 782304764; 930976870; 504067458; 981570319; -1; 659918; 293576761; -1; 238243795; 100904343; 591182251; 64677670; -1; -1; -1; 739605437; 842769560; 128519150; 78822133; 958446095; 586762166; -1; -1; 354670112; 955832996; -1; 494704263; -1; -1; 556091425; 437070950; 6594311; -1; 919196963; 867252541; -1; 32086321; 606779002; 279275162; 696806256; 714704563; 919148187; 801839380; 665415589; 175669811; -1; 842406261; -1; 444111393; 713962638; -1; -1; 275120069; 443900946; 189879805; -1; 956960366; 144411254; 887242332; -1; 651523255; 480808345; 994366481; -1; 480467963; 826814950; -1; 67765723; 633296782; 575047362; -1; 287458919; 558407855; 914616097; 250676749; 858908294; -1; 417823310; 206188387; 643092007; 503377627; 998254666; 972473373; 965983056; 188998892; 501370219; 637366019; -1; 31971042; -1; -1; 757826840; 557192868; 187438914; -1; -1; -1; 20317369; -1; 899627131; -1; -1; 785464473; 36829393; -1; 928118921; 434922934; 106535502; 824620576; 38826817; 210371589; 637432153; -1; -1; -1; 202647219; -1; -1; 640895858; 82326664; 829702697; 189557728; 163235396; 939230767; 594172927; 844493030; -1; 793574923; 667124059; 969625738; 447938185; 961215498; -1; 608684988; 594150175; 552344125; 466264550; -1; 309906382; 426920770; 373736085; -1; 943118647; -1; 759529567; 760400769; 211530563; 653437938; -1; -1; -1; 670468734; 113418690; 499969169; 463565154; 891484704; 252566039; 262208807; -1; 528949701; -1; 956712565; 814686677; 255905151; 101941901; 967451083; 729246541; 756700784; 65051420; 101743969; 893261912; 605307290; 260180587; 708287645; 375316104; -1; -1; 873836775; -1; 365947118; 221086610; 932766101; -1; 413297020; -1; -1; 76735711; 60620235; 295756015; -1; -1; 540383665; 234776827; 263014078; 723618136; -1; -1; 632493125; -1; 71837216; 416844738; 221775941; -1; 838097957; 58037801; -1; 636617636; -1; 189551207; 335679462; -1; 936216687; 317749125; 410024861; 302063259; -1; 641129273; 845874158; 183061006; -1; 302455171; 36964605; 258186294; -1; 58661634; 820259200; 172964269; 174250127; 851794648; 322613200; 931392414; -1; 346047231; -1; 500047390; -1; 430032085; -1; 398584511; 353290204; 961868715; -1; 678943403; 415994036; 765508440; -1; 424749053; 105957794; 981976402; 194369677; 853114652; 90277459; -1; 402551807; -1; -1; -1; -1; -1; 681208244; 463646705; 506293189; 564978687; -1; 117929861; 148282266; -1; -1; 934576190; 641294052; 867499505; 861273200; 414942873; 773066557; 437603701; 605617534; 210373539; -1; -1; 487741556; 414352846; 291703835; 482640341; 475657097; 374039370; 401141829; -1; -1; 979540295; 838660172; 671736063; 591439101; 189821692; 927821385; -1; 883284960; -1; -1; 802244424; 4556444; 792818288; 501241320; 119061434; 303042622; 720429152; 892485854; -1; -1; 319871790; 339933603; -1; 200794612; 55998331; 328050041; 706408370; 134456265; 819568811; -1; 331947281; -1; -1; -1; -1; -1; 862485448; 62593020; 801194273; 67498029; 26143559; 765338979; 138148200; 807258742; -1; -1; 402877985; 511229422; 898949168; 951199205; 799174368; 457698278; 989790328; -1; 66639969; 152160489; 462369035; -1; 625023322; 565491676; 264676501; 393677906; 827075443; 947168591; -1; -1; 579499709; 39829781; 838362376; 750156425; 339221251; 295083104; -1; 645815153; 811449099; 435803270; 93475093; 838353041; 996187134; -1; 278790581; -1; 386316464; -1; -1; 590816036; 845275057; 310260928; -1; -1; -1; -1; 448570713; -1; -1; 629090607; 86163806; -1; 647887704; 454129069; 823430870; -1; 473956619; 537764588; 731540426; 561026685; 280138707; -1; 214956972; -1; 247092741; -1; 839101150; 330008816; 177453541; 954059203; -1; -1; 941436987; -1; 645918349; 890371457; -1; 665600276; 127265233; -1; 247205542; 720509345; 757955272; -1; 360331057; -1; -1; -1; 527369092; 947729480; 234433708; -1; 466292029; 314439378; -1; -1; 619712708; 312484285; 101717050; -1; 792002244; -1; -1; 281958165; -1; 825624617; 33878674; -1; -1; 277800052; 939155176; -1; 482806905; -1; -1; 889643421; -1; 149690030; -1; 542636955; 995967336; 718539945; -1; -1; 351331058; 523483340; 372440666; -1; 599281074; -1; 41350164; -1; 808737064; -1; 896652510; -1; 940007164; 879071130; 53101174; 364446855; 471915148; -1; 258294421; 899108639; -1; 674152243; 115320485; 763829300; 727816824; 10490836; 402427028; 319178832; -1; 411951079; -1; 494407109; -1; -1; -1; -1; 46074814; 109714383; -1; 610332258; 641948929; 22549253; -1; -1; -1; -1; 998341720; 185858937; 16591829; -1; 377474859; -1; -1; -1; -1; -1; 659254112; 816997473; 839994365; 977999803; -1; 305272916; 788867044; 499148043; 97515571; 31888304; 415717929; 136630813; 240160518; -1; 793591692; -1; 605549607; -1; 354018072; 842136654; -1; 224169881; 772262372; 57157421; 801805030; -1; 372321721; 87308913; 978730452; 956103489; -1; 976565677; -1; 638213956; 682149160; 483226641; 44330190; 29169901; 822212137; 827051415; 13698666; 302217410; -1; -1; 228217731; -1; 975090805; -1; 522567502; 95525027; 865328256; 338906670; 761559189; 463982460; 752055504; -1; 70969925; 755351305; -1; 881201812; -1; 236559984; -1; -1; 513447283; 101021319; 435661248; -1; -1; -1; 764776986; -1; -1; 655549368; -1; 357895652; 749820451; -1; 680855393; 298950466; 572792700; -1; 182978284; 760297028; 520089769; 242806103; -1; 570626198; 692484686; 306775985; -1; 106888624; 771652063; 468380219; 633676197; 349865126; 193656034; 6210184; -1; -1; 652331711; 864392136; 870538374; 380496026; -1; 190119553; -1; -1; -1; 440304159; 380234244; -1; 591701282; -1; -1; 189121147; 207002711; 335284071; 857944440; -1; 374897029; 986907605; 819424908; 261578064; 263156876; 573798266; 981770548; -1; 757817899; 750971570; 152534322; 60882380; 31266285; -1; 952543099; 656251250; 100684772; -1; -1; 170101736; 340175486; 872024452; -1; -1; 516860799; 944654918; 586314128; -1; 429917215; 345655061; 721896665; 908871989; -1; 107808216; 351567643; -1; 464749938; -1; 193416101; 434913574; 396864253; 870909316; 262037531; 164012603; -1; 819762956; -1; -1; 609144720; 371465437; 287632706; -1; -1; 570693603; 333292038; -1; 622208374; 91531338; -1; 167624391; -1; 814220507; 815263688; -1; 906165173; 277734568; 381789146; 782928644; 590295181; -1; 508941891; 659625655; 977814129; 29613800; 170679975; 178123624; -1; 36575848; 427678539; -1; 628485425; 83931213; 746899531; 8875305; 383094224; 494188718; 28981852; 504608019; 245125333; 765220180; -1; 796261926; 915049576; -1; 508375970; 762476131; -1; 275377373; 488610513; 910001749; 287573005; 681128904; 971993006; 362440848; 486802931; 397018363; -1; -1; -1; 477144454; -1; 957553741; 374009361; -1; -1; 769775391; 236380918; -1; 289748036; 132004123; -1; 822048670; -1; -1; -1; 479481961; 391102656; 234496063; 840382478; -1; 236195448; -1; -1; 134296299; 788491004; 948135075; -1; -1; 878116814; -1; -1; 824265465; 246069004; 143306958; 406526084; 985836066; 872496890; 642027150; 872791751; 102449815; 667466120; 16147636; -1; -1; 631428491; -1; 492260069; -1; 527696016; 303993000; 293621610; -1; -1; 284044554; 115804569; 894340496; 835794736; 898887565; 289945071; 781747602; 358665408; -1; 147321964; 733318455; -1; -1; -1; 874465171; 189555971; 543775511; 859082739; 136150206; 924503644; -1; 976576920; 474981887; 734429402; 887218449; -1; 613141404; 757043894; 510181717; 110236976; 989282895; -1; 575450601; -1; -1; 120167971; -1; 575117508; 619355216; 873590760; 966300953; 193185807; 572818886; 260221791; -1; -1; 254506092; -1; 32353453; -1; -1; -1; 936754038; 910225196; 28683837; 135437822; 851100410; 759296749; -1; 816738422; 697145904; -1; 714926631; 896316441; 487851615; 905608227; 979128597; 425242332; 816508043; -1; 277858034; 412519766; 839845770; -1; 168042082; -1; 504095263; -1; -1; 773423924; 199525939; 923516652; 36054515; 859031045; 685376666; -1; 924700702; 572867858; 340140560; 529183451; -1; -1; -1; 84033670; -1; -1; 332921302; 501115152; 764087243; 359219666; 644961090; 275945728; 718109223; 969152204; 152008782; 317963205; 633117576; -1; 985437802; 153239663; 412130956; 540231525; 890318073; -1; -1; -1; 774709799; -1; -1; 316323868; 550248917; 406317813; -1; 229028213; 915076484; 394454264; 223297369; -1; 846019258; -1; 567001060; 518783500; -1; 21824362; 192984635; 375691675; 534251276; 629095495; 77660826; 38358399; 111444149; 362153458; 241540867; -1; -1; 60894758; 775300200; 762187092; 206685391; 552478904; 231272821; 306723937; 953102601; 991244224; -1; -1; -1; -1; 8455474; -1; 807106534; 349628076; -1; 460061897; 777410132; 479628927; 663681786; 277303848; -1; 668860062; 695287213; -1; 676821624; -1; 630653519; 96008383; 396468274; 921549212; 434016629; 17928512; 513251032; -1; -1; -1; -1; -1; 628507658; 428573924; -1; 514481551; 593652663; -1; 180890233; -1; 205486032; -1; 908413821; -1; 70585667; 549858359; 455588879; 698639459; 603789002; -1; 99171532; 774664267; 558905439; 428913220; -1; -1; 179852778; 149947107; 2860171; 485999785; 798721732; 950164327; -1; 221681617; -1; -1; -1; -1; 319338175; -1; 292764791; 737769149; 192655321; 60384441; 407366569; 616988784; 206584746; 823875003; 442317302; -1; 37583242; 167919030; -1; 893914147; 699616072; 742816500; -1; 798977757; 457936514; 12664105; 121686904; 768359944; 267849253; 493482277; 207864427; -1; 198084165; 311324292; 462165495; 174207537; 847636108; 173923618; -1; 14484479; -1; -1; 399187051; -1; 655110159; -1; 838350871; 142484266; 151245452; 300447095; -1; -1; -1; 406886584; 145344729; 921589991; 628145107; 558125910; -1; 214706695; -1; -1; 771129197; -1; 784671467; -1; 355025284; 658376059; 435017764; 507702893; 663726341; 855174631; 665140107; -1; 186294306; -1; 947414474; -1; 249590206; 286690421; -1; 507224522; -1; 903657235; 419035179; -1; 739237236; 105291046; 462769180; -1; 444182752; -1; 24360105; -1; 942180483; 503086311; 752416989; 823970624; 575449974; -1; 355054099; 618224208; -1; 926794011; 374106226; 318463936; 188300676; 161531488; 125302441; -1; 491039246; 420242279; 427699102; 273234346; -1; 916819168; 702413357; 25494220; 714074114; 861351536; -1; -1; -1; 760750918; 310310907; 369593618; 145483556; 619610494; -1; -1; 190810165; 597600547; 92875568; 649275097; 411486881; 874080056; -1; 637858974; -1; 675441339; 921637681; 225309572; -1; 594755962; -1; 30850309; -1; 505346925; 318550977; 162496012; -1; 399326275; -1; 397083228; 181383299; 658184986; 790317672; 287635890; 259647974; 734529977; 735251486; 250793394; 74738421; -1; 415482319; 189316408; 786846550; 981852942; 126177376; 32046556; 33197150; 289139757; 250900802; -1; 777347353; 182076422; 587621290; 513059193; 408988215; 580275499; 995856676; 154363284; 467065854; 864545275; 144062309; 295670316; -1; 432869674; -1; -1; 401137067; 228363432; -1; 398266003; 320951840; 37570553; 303059420; 641721471; 33429192; 925538515; 853288904; 938409332; 573072909; -1; 665862853; 924221873; 73809559; 174820869; 625748073; 547936481; 785852900; 233191579; -1; -1; 517003162; -1; 340713942; 937274786; 395535436; 466341208; 625930608; -1; 537282064; -1; 600704931; -1; 62635589; 335235934; -1; 397294010; 664456468; 349459428; 689309008; 9295428; 425596738; 785843331; 26550543; 118201976; 998742772; 167004959; 758367251; 282547370; 342524379; 983011841; 137734346; 91557979; -1; -1; 541516553; 63425060; 653114778; 297687248; 36055809; 587811899; 949388237; 269244545; 614427757; 983010870; 624974765; -1; 953461701; 205978081; 365901458; -1; 751146972; -1; 699644915; 33149922; 445829453; 227026507; -1; -1; -1; 305037299; 389214831; 62840959; 267435879; 511319692; -1; 442503942; 501314821; 558970592; 686479887; 686270409; 872527774; -1; 845763021; 872578251; 432483237; 523484598; 375430756; 233571618; 975035973; 918974277; 575561042; -1; 815795627; 858101419; 693444006; -1; 226656493; 847661327; 539649972; 385893051; -1; 613123730; 116419222; 453081794; -1; 999202640; 697024486; 751078821; 112025398; 167176999; 165830237; 55006937; 90922056; 754953083; 186215007; 532475691; 571641250; -1; -1; 328650620; 697772660; 491796727; 418271695; 458276837; 354336661; 143427119; -1; 564496804; 407546726; 682269679; 740874636; 906126759; -1; 39794322; -1; 91451882; 225088546; 534245233; 387967628; 553325190; 207464718; -1; 807568253; 578492371; 437449961; 206394534; 4777234; 537948934; 847453212; 720404937; 89960516; 328182262; 723219337; 117474434; 322684416; 977056502; -1; 801106444; 483683512; 533085721; 935283181; 921605425; 221518070; -1; -1; 684149620; 332869617; -1; 161193407; 600314362; 461785253; 198271608; 320147605; -1; 181453540; 416286010; 586040099; 86947516; 936099042; 449879727; 76020840; 638954930; 859799436; -1; -1; -1; 274565081; -1; -1; 802968498; 256413677; 177819004; -1; 653034492; 537706164; 967968011; 847447700; 527081445; 101056995; 240444744; 832560889; -1; 551820652; 866607047; 696173044; -1; 145986764; 980675208; -1; 293876665; 612642966; 841732817; 952141704; -1; -1; -1; 140372288; 425969425; 896918555; 906652769; 477887503; 729927407; 415972157; 327833438; 648636090; 635481166; -1; 563756035; -1; -1; 652573544; -1; 917041801; 671776593; 876578523; 983334005; 102878749; 999031096; 254250968; 707598957; 119959229; 86318478; -1; 722719706; -1; 893245392; 123428464; -1; 799571278; 615786613; 207753136; 41273883; 617206765; -1; 641219609; 320546145; -1; 370409572; 783477602; 283431552; 881628522; 342689898; 513003098; 830504391; 206859994; -1; 904050131; 988368391; -1; 585906442; 326172032; 211581873; 106780961; 12445041; 358503903; 415595956; 129957826; -1; -1; 788954187; 476382374; -1; 211124951; 857909139; 373261427; 699243024; 315534433; -1; 898881588; 675234099; 994549733; -1; 336326352; -1; 647661332; 273444244; 704193611; 349865999; -1; -1; 336794798; 143617137; 28123186; 771815395; -1; 480138706; 803311774; -1; 571408622; 663400706; 464428071; -1; 23952629; 507295788; 422046780; -1; -1; 785167886; 420228218; 403603845; 229788302; -1; -1; 926491547; 242634536; 680877433; 623032045; -1; -1; -1; -1; -1; 171013948; 660594934; 99846145; -1; 469291976; 535981764; -1; -1; 929522620; 652019575; -1; 471978613; -1; -1; 62022964; -1; 400542495; 837375887; -1; 253561954; -1; 328160591; 1603472; 704841209; -1; -1; 48673825; -1; 915977538; 220454622; -1; -1; -1; 88163680; -1; -1; -1; 183028168; 449665706; 990104112; 592434338; 95049898; 931655419; -1; -1; 441692129; 912459456; -1; -1; 323130233; 867292477; 904389162; 344390814; 755975468; 471103231; -1; 684867674; 798183089; 697706137; 550710059; 826191695; 339595674; 373535087; 879602571; 707749307; 962604693; 189977158; -1; 49766267; 358793156; -1; 471666149; 12351044; 791403981; 901028076; 509465275; 576477285; 332004598; 383608950; -1; 747297503; -1; -1; 51427180; 733114070; -1; 683514790; 45795987; 940313667; 404945813; -1; 648489817; 768363276; 679536138; -1; 101425803; 314540197; -1; 835478273; -1; -1; -1; 338170601; -1; 781973208; 53733954; 946554146; 601963405; 699208248; -1; 181775990; 108792324; 505706220; 413392211; -1; 994877902; -1; -1; 359691628; 750958865; -1; -1; 404088490; 609626359; 391488071; -1; 435608058; 46169818; -1; 122978782; 224763374; 555322601; 784328116; 851395252; -1; 427313074; 77836165; 883523689; 486749604; -1; 11715696; -1; 421459462; -1; -1; 117970200; 542744617; 434909261; 284215465; 850416973; 759678815; 916068698; 833055913; 813403452; -1; 245719063; 250873935; 457122252; -1; -1; 462717383; 89549104; 267525795; 612673922; 386046533; 109783443; 260753334; 756202161; 493871248; -1; 841834185; -1; 151158175; 778224188; 165529815; -1; 793359989; 134542025; -1; 23231986; 951184108; 632967145; -1; 155950024; -1; 405632617; 322536736; 940256925; 496344329; -1; 870380931; 381867545; 334612195; 734620091; 577936219; 504715044; 813851888; 102548793; 46641586; 58481255; 649837179; -1; -1; 965261032; 253277892; 241752855; 899767479; -1; 586992393; 714128069; -1; -1; 763153184; 86775481; -1; 666656664; 325284587; -1; 936076657; 937509897; 99400415; 125341693; 410919088; 376035166; 544428718; -1; 277260888; 336214035; 314571239; 664111038; -1; 208403519; -1; 673167554; 800677886; 826331080; -1; 50916769; 184735539; -1; 807885241; 551832075; 344167390; 707937038; 815086663; 21436439; 532379413; 60220991; 879001055; 683677330; 562793146; 392640898; 340099501; 708712050; -1; 546244835; 224801487; 752402498; -1; -1; 39013026; 26691246; 507503143; 498539032; 126579892; 935045377; 723733441; -1; 644841804; 545626962; 778828145; 658102708; -1; -1; 154754806; 58979539; 275993078; 582832119; 431895735; -1; -1; 154754583; 463935452; -1; 131986355; 307425857; -1; 563464296; 863066943; 490254656; 602977643; 331271680; 269481544; 893119787; 708790226; 657987918; 383126440; -1; 748271691; 896294638; 164080876; -1; 780452521; 9234198; 908446358; 59096947; 151585241; 413791514; 146900557; 299131810; 116062813; 450094899; -1; -1; 857843411; 558169594; -1; 947571382; 78119784; -1; 595314489; 408239410; -1; 840311289; 871707464; 524373578; 389162620; -1; 896637234; 887387263; 675258802; 530100819; 919982510; 568729407; 204137616; 371889947; 758349037; 502799881; 595470013; -1; -1; 236793418; -1; -1; -1; -1; 125359217; 190121332; 174655756; -1; 138830842; -1; -1; -1; 786515725; 760728244; 145882218; 876190879; 353031485; 138138811; -1; 325746532; -1; -1; -1; 735701208; 330610150; -1; 536176929; 788756722; 550939690; -1; -1; 432137156; 689531692; -1; -1; 60079110; 884402136; -1; 442394258; 20657014; 332417826; 613287989; -1; -1; 808375454; 945636356; -1; -1; 492368410; 237859923; 85444141; 782285905; 290107095; -1; 499381482; 664881333; -1; 215277933; -1; 187362342; 585906238; 960116292; 808443969; 692187037; 653680975; -1; -1; -1; 197526554; -1; 17970249; 536564562; 282979935; 694763400; 106172610; -1; 95383913; 221058347; 33084481; -1; 270199236; 361713918; 942188230; 505371747; 611694771; 826282934; 160791217; 181906537; -1; -1; 716177006; -1; -1; 889099884; 301169862; 109298096; 776622787; 393946874; 449087225; 549464565; 554009027; 287011051; 29012239; 481695892; 505289871; -1; -1; 171061348; 868224576; 589108186; 241240260; 895598408; 308532199; 702886808; 903910291; 233340548; 387171779; 557150855; 136890605; 628608963; 518528652; 778559074; 634286839; 870080483; 849772732; -1; 698382696; 115184016; 638850289; 406815841; 218967597; -1; 745747673; 548937695; 628979560; 347325603; 954753991; 560451436; -1; 966919842; -1; 230498851; -1; -1; 464391970; 74636150; 970267778; -1; 377692095; 641544368; 127592610; 986053957; 922269875; -1; 489975583; 939296292; -1; -1; 814469490; -1; 511949386; 700736836; 790971907; 136213931; 858413150; 450274157; -1; -1; -1; -1; -1; 792524522; 968910992; 929628645; 812842574; 158110746; 820827347; 331748572; -1; -1; -1; 621490376; 186465481; 861455288; -1; -1; 108977683; -1; -1; 737728600; 771549088; 476716085; 403232271; 256035481; 120625528; -1; 3226341; 905915109; -1; -1; 336864216; -1; 690524611; -1; -1; 38447642; 963261857; -1; 919240804; 713953665; -1; 530144545; -1; 145565332; -1; 218296880; 896705328; -1; 759413070; -1; -1; 824946737; 181356974; 258696328; 395398740; 550870681; 985270142; 998324269; 796444491; 20545790; 33902627; 872158134; -1; 415013092; 626057180; 172548493; 388650566; 972819830; -1; -1; 746532452; 459532344; -1; 477147001; 382001942; -1; 614162694; -1; 340575363; 636219932; 240093436; 127699298; -1; 542660092; 231066910; -1; 172433999; 38618460; 60823857; -1; 816891592; 160710860; 399085338; 856039926; 281999774; 152226213; -1; 897418697; -1; 173569210; 799376509; 744967271; 710908485; 919829122; -1; -1; -1; -1; 416728249; -1; 114106865; 987057047; -1; 643739649; -1; 129823178; 925638729; -1; 657301328; 887764779; -1; 890909275; 732366309; -1; 887998257; -1; 450473431; 279625931; -1; 50902013; -1; 648194023; 118915608; 965269805; 901182121; 949933622; 124028368; 667104444; 957587174; 576257139; 132635083; 932622737; 401721352; -1; 225221794; -1; -1; 454048850; 280914630; -1; -1; 390097812; 383048506; 491122991; 16873344; 473321350; 136831393; -1; 156347104; 550754346; -1; -1; 769207529; 58026982; -1; -1; 662333918; 642130952; -1; 186610536; -1; 498650434; -1; 67230259; -1; 332281587; -1; 401082585; -1; 310944256; 468268839; -1; -1; 199526739; -1; -1; -1; 735955089; 663044771; 779238759; -1; 537319162; -1; 132503549; 4698975; -1; 190079725; -1; 291856585; 997416455; -1; 559616028; -1; -1; -1; -1; 189671890; 590506201; 632409179; 217671142; 252876586; 654114961; -1; -1; 768390301; 685762720; -1; -1; 536223697; -1; 70833568; -1; 596336011; -1; -1; 658376801; 206612620; 584039036; -1; -1; -1; 731834975; -1; -1; 820602703; 654632896; 452555459; 123341380; 837740764; -1; 290553612; 362328592; -1; -1; 831847126; 328918580; 619659437; 176153197; 307158542; -1; 264139624; 994541436; 573045606; -1; 405024444; 513632386; -1; -1; 910287807; 264990753; 217497813; 885946162; -1; -1; -1; -1; -1; 111323759; 985148751; 165587190; 846441425; -1; -1; 58636238; 357722484; -1; 601859268; -1; 614759950; -1; 996369471; 337040502; -1; -1; 743601623; 371784081; 977674734; -1; 153123228; 632136529; 267555160; 874110227; -1; 202930323; 885091877; 698047050; 96969375; -1; 264623157; 194259035; -1; 269032728; -1; 254953422; 884110481; 214215454; 734455416; -1; -1; 892366022; -1; -1; 160754590; 171450511; -1; -1; 561744833; 227780167; -1; 992063073; 233631119; -1; 714484124; 366977348; 603274759; 631394492; 635295231; 874864919; 496427616; 680170769; 714913521; 187639925; 761612229; 487568877; 813588278; 580275263; 341688879; -1; 476509424; -1; 806076942; 583109971; 270166500; -1; 61124429; 153653914; 849426130; 112116765; -1; 282773973; 871606915; -1; -1; -1; 455168711; 709906229; 427133380; 911112231; -1; 907819876; -1; 428713447; 613443206; -1; 451028493; 932337409; -1; 774887083; 726241807; 371965260; 346242032; 513919524; 118155122; -1; 921778755; 763689471; 255710690; 950360223; 654400913; 938028738; 706096703; 369766674; 785087035; 931018222; 672030503; 820203996; 529914679; 600427009; -1; -1; -1; 630437745; 21278475; 920177085; 90942391; -1; 135246928; 283282753; 42267293; 671323388; 605358183; 654115237; 106899572; -1; 674794662; -1; 790510218; -1; -1; 324088075; 847355826; 230609349; -1; 995083870; 518627642; -1; -1; 150862634; 190883680; 630094317; 546636120; 736312484; 12733217; 742585425; 752164137; -1; -1; -1; 17134508; 623733876; 577877149; -1; 649974422; -1; 340022167; 441327628; -1; 946473957; 18409857; 356180481; 272367213; 145360688; -1; -1; -1; -1; 201695326; 324410730; 276380595; -1; 216129027; 600980612; 635741768; -1; 21653772; 99793902; -1; 857908208; 249687799; 948724728; 474187417; 644693982; 906522950; 213181070; -1; 679080792; 231385088; 340197832; 673052323; 559117105; -1; 21096133; 991567052; 41005307; 991153290; -1; 169931095; -1; 772225573; -1; 666989213; 767432260; -1; 237637824; 361500897; -1; 685135398; -1; -1; 754032058; 484527444; -1; 863232408; -1; -1; 791283785; 367524427; 665581863; 475379931; 73597966; -1; 798213949; 933051305; 22537337; 762087055; 918417891; 238206105; -1; -1; 99507937; -1; 553998840; -1; 720066308; -1; 508871032; 43465768; -1; -1; -1; 193029794; 162819510; -1; -1; 974662744; 296838004; 490281731; -1; 332572167; -1; 144338610; -1; 13220323; 281226458; 936638623; -1; -1; 881716516; 724367977; 213304494; 52818437; -1; -1; -1; 527481398; 343766516; 177376269; -1; 50606528; -1; 834129413; 72063974; 349948765; 201459322; -1; 852313174; 64297081; -1; 998847306; 191640214; 122817067; 28133918; 139540137; -1; -1; 738881176; 431144483; -1; -1; -1; 583223603; 806115723; -1; -1; 694777274; -1; 126069175; -1; 755213297; -1; 75536228; 217077001; -1; -1; 255460263; 588340816; -1; -1; 258425495; 842483228; 827936786; -1; 856762257; 405362050; -1; 328845637; 673127224; 351936936; 289434851; 776171651; 505547642; 743142072; 588437974; 573935788; 115256516; 786426569; 314612052; 126117562; -1; -1; 516143256; 500319782; -1; -1; 779703152; -1; 434184586; -1; 846508680; 122812615; 709833164; -1; 551104971; 599402086; 165375841; 729627260; 418996421; 443056903; 378841819; 772300744; -1; 684060983; -1; 701835710; 303853495; 345328078; 356267473; 159811189; -1; -1; 124526993; 511408385; 78553901; -1; 639162338; -1; -1; 55923689; -1; 305271791; 53017177; -1; -1; 863073998; 11285218; -1; 954050976; 315691551; 65018572; 22131442; 796964732; 656854278; -1; 579641382; 177727530; 367777509; 15908880; 903997333; 566294031; -1; 378437406; 753877573; 831553017; 976989959; 351716666; -1; -1; 59976931; 795335640; 270292914; 835313402; 134521261; 995763363; -1; 292659000; -1; 806712883; 103240040; -1; 855591828; 480005948; -1; 374639156; 946565123; 681541723; 472710780; 761780441; 617574978; 789840196; 273569282; 381788592; 927899015; 455556297; -1; -1; -1; -1; 443681865; 852586406; -1; 704477224; 423649816; -1; -1; 876402915; -1; 359838282; 615845563; -1; 845362694; 646647713; 465270768; 441376695; 471151543; 226969450; -1; 329774961; -1; -1; 154848534; 193649284; 24415289; 75680874; 896229951; 41688036; -1; -1; 489629299; -1; -1; 731600203; -1; -1; -1; 840576322; 690093708; 640670265; 446655131; -1; -1; -1; 160076248; 20815124; -1; 747274760; -1; -1; -1; 290769960; 620002906; -1; 331410973; 547421419; 376248828; 678068806; -1; 496484388; 534192324; 696592780; 484919785; -1; -1; 471162531; -1; 57099074; 468970935; 275932583; 948058369; 74492353; 395394723; 496255101; -1; 248280396; -1; 269304735; -1; 115393731; 123011604; 88834268; 753580407; 266175825; -1; 371740929; -1; -1; 809391749; 835965511; 786917850; 654790142; 384456417; 23003214; 454147196; 634837503; 871099898; -1; -1; 481686828; 916526875; 846584773; -1; -1; 50182680; 863577354; -1; 675186191; 982127279; -1; 76957090; 13166832; 412789124; 530955342; 727364921; 923418947; -1; 626231364; 307866421; 697602371; -1; 608100907; 364889627; 72326730; 655800404; 656433154; -1; 633211678; -1; 933250090; -1; -1; 388362650; -1; -1; 576751167; 326253017; -1; 527649689; -1; 924621373; 793114283; 312967081; 134242123; 806027767; -1; 278054549; 820858541; 937628196; -1; 987793690; 707657667; 675372607; -1; 251033236; 485124229; -1; 699191678; 300108466; -1; 691735158; -1; 362605390; -1; 476308015; 767309366; 197713898; 223984287; 443523487; 597881758; -1; 987684031; 119770980; 706684435; -1; 675150472; 644264487; 326735428; -1; 303392492; 325936285; 313698938; -1; 735121383; 681276385; 761185828; -1; 488668160; 738015584; 533632688; 783700578; -1; 888120883; -1; 304961275; 142806009; 84439695; 451953671; 63877866; -1; 587801463; 844371744; 613006333; 810288702; 655627922; -1; -1; 941775286; 404815813; -1; -1; 373359114; 912014522; 802803210; 960599857; 425069888; 99987914; 627442808; -1; 624531854; 11907558; 659007653; -1; 718793349; 371185301; -1; 786217902; 601615683; 474881726; 20985111; 209156465; 127305074; -1; 323764243; -1; 527989588; -1; 948623163; -1; 356905520; 827268700; -1; 273377893; -1; 732320518; 411327206; 729348869; 860292632; -1; -1; 531969903; 396779043; -1; 871902335; 272756159; -1; 101839444; 386282602; -1; 412391278; -1; 114144927; 314397041; -1; 872540506; 39317694; -1; 470428035; -1; 799721153; -1; -1; -1; 376541853; 586207469; -1; 179142971; 962671527; 553369585; 927540247; -1; 199863199; 669094748; -1; 386137405; 685281584; 547692194; -1; -1; 958014859; -1; 365017919; -1; 265035921; 908790042; 237619175; 917560713; 303509370; 432294154; 390326980; -1; 417824982; -1; 711915402; 576918585; 351506092; 474376851; -1; -1; 256620325; -1; 672013936; 147406352; -1; 425950964; 63550005; 417169856; 119181686; 650763447; 779249188; 273088145; -1; 599088564; 562905139; -1; 593385704; 850966341; 759616545; -1; 608757709; 624144471; 708047182; -1; 628165125; -1; 415879127; -1; 667898090; 544480206; 500780400; -1; 363002042; 820563647; -1; 632370364; 908187053; -1; 682125163; 679655119; 439685855; 845147072; 961452562; 493078065; 177653293; -1; 475222393; 134877684; 567323399; -1; 488494226; -1; 756685984; 764192366; 351322390; 487385592; 180752683; -1; 442904829; -1; 979414235; 872030635; 500481876; -1; 526408927; 51654050; 474734270; 476468609; 873111216; 788916095; 544013983; 970474517; 464359969; 697754338; 119773918; 115725376; 487821216; -1; -1; 563384344; -1; 646292322; 749917973; 924659488; 588972004; 671425383; -1; 307841629; 516986089; 638576027; -1; -1; -1; 865345979; 44557952; -1; 644963923; -1; -1; 174430443; 252565207; -1; 948118975; 636339526; 332575916; 261730319; 882579359; -1; -1; 434959942; 799268344; -1; -1; 636719205; 444556261; -1; 783970271; -1; 62232783; -1; -1; 94276685; -1; -1; 981351841; -1; -1; 471627000; 721115724; -1; 488146422; -1; -1; 782542962; 509730080; -1; 510672385; -1; -1; -1; -1; -1; 376589906; -1; 441233481; 631471375; 850872051; 923712494; -1; 40309858; -1; -1; 184877766; 780564388; 882262958; 761481177; 217200541; 937518013; 881559368; 403164393; -1; -1; 378926414; 164915603; -1; -1; 211317486; 475025806; -1; 861329924; 503467386; 888538377; -1; 301507277; 342106993; -1; 881408412; -1; 256546150; 928889238; 664929664; 690736966; 703297351; 413708825; 893771267; 227062834; 853232889; 303372710; 586144866; 539583868; 694281221; -1; 103098640; 12641412; 952227224; 694494919; 22296125; 171429392; -1; 267571731; -1; 536020488; -1; 664778182; 722379360; 812492630; -1; -1; 623253448; -1; 696489668; 89630856; -1; -1; -1; 163483070; 726078688; 563958836; 560895523; 381534591; 891060690; 984445122; 906286877; -1; -1; -1; -1; -1; 917964051; 235891970; 627456654; 105306855; -1; 279528361; -1; 20742484; 697030905; 602081848; 427973445; -1; 25827829; -1; 770424443; -1; 713946168; 503915679; 408687494; 923428461; -1; -1; 906073109; 542273907; 256735513; 969323865; -1; 767822201; 616054888; 208653374; 989286818; -1; 343654466; -1; -1; -1; 103992992; 834958737; 577384241; 134702766; 393364567; 949716901; 105037952; 125551651; 865564461; 293939798; 589582541; 267405674; -1; 468893990; -1; 356071796; -1; 366018892; -1; 778342777; -1; -1; 781467386; 180294037; 55525835; -1; -1; 939400326; 355285246; 120261700; 748139355; -1; 89251548; -1; -1; -1; 971476250; -1; 616621943; 127412895; -1; 592794189; 96490731; 904324762; 299052973; 890460366; 754476389; -1; -1; 941604762; 491184762; -1; 640654549; 683408974; -1; -1; 602109447; -1; 190465482; -1; -1; 443029630; 751670745; 479679593; -1; 411648450; 975680103; 588247117; 651251533; -1; 450932294; 570647570; 621740005; -1; -1; 156855983; 119680877; -1; 638932200; -1; 76974308; 957259653; -1; 340733578; -1; 115752335; 328272882; 253166118; -1; 954252806; -1; 533158289; 686577313; 54849436; 73172902; 419395986; 241707739; -1; 336329555; 866044201; 319679368; 970790186; 495627078; -1; 793085681; 927068976; -1; 264699138; -1; 592655436; -1; -1; 439866432; 35777223; -1; 457187734; 726266605; 377083246; -1; -1; 535828984; 39148242; 694719025; 544102342; 41090290; 3619397; 17833340; -1; 816679981; 169625913; -1; 460784180; -1; -1; 536135762; 223870123; 889027611; -1; 354785738; 157881003; 438341551; 122176000; 308708745; -1; -1; 319481184; 652311054; 472752238; -1; 218801293; 472366397; -1; 427610676; 724348334; -1; 641272031; -1; 641457356; 160702247; 192924391; -1; 318283726; -1; -1; 547734156; 678676249; 849864137; 480123842; 135483707; 249903385; -1; 172177852; 720724088; -1; 605809714; 424891451; -1; 558180251; 678443257; -1; 806473303; 353414719; 973689485; -1; 563249767; 110358266; 17776454; 493591815; -1; -1; -1; 402518842; -1; 104986766; 699563872; 724497481; 802776387; 904585481; 354651717; 357169437; -1; -1; -1; 143067501; 274817184; -1; 637427531; 717608682; 932454757; -1; 669720968; 676268255; -1; 19056901; 355895665; 427695295; 239087112; 412458155; -1; -1; 986652760; 71528360; 429170171; 188828625; 279858178; 406846061; 218960558; 289573519; 281597039; -1; 637500929; 147532160; 7287198; 931420924; 73082514; -1; 505058924; 661982664; -1; 49612972; 210614995; -1; 446778708; -1; -1; -1; 173520326; -1; -1; -1; 650882895; -1; 253438727; -1; 648163473; 116495031; 299696551; 693943503; 137828167; -1; 301363211; 658890111; 300898390; 93464765; 23940497; -1; 945881344; 374101270; 575679380; 628440691; 540885409; -1; 906926032; 442707989; 724886199; -1; 35880204; 541977368; 732733763; 198943374; 185908548; 775136573; -1; 534644054; 321180838; -1; 574115613; 699252170; -1; 848021409; 271274416; 766723726; 983259495; 978869939; 314339709; 42591020; -1; 208051358; 465581412; 608202405; 830123610; -1; 753373410; 415649026; 564933891; 498250290; 400182331; 967015389; 217163943; 867124066; 784729792; 588209392; 38564475; -1; 122702894; 491134001; -1; -1; -1; 660370405; 56147922; 812621596; 179494307; -1; -1; 76312487; 705722019; 892203415; 909799005; 349786100; -1; 541753820; 946338490; 366357800; 817913158; 571385608; -1; 254803125; 456510043; 184864921; 198602960; 575760387; 816774027; 106027657; 337163410; 78573781; 450000688; 964770955; 657907029; -1; 611057996; 588160438; 115001631; -1; 233087706; 774969892; 256031123; 171017542; 823154337; 974258789; -1; -1; 935341482; 713470147; -1; -1; 726447520; -1; 182806485; 883405656; 38281125; -1; 361602477; 997321829; 212273974; 318678578; 371937606; 926748398; -1; -1; -1; 567345601; -1; -1; 186765009; 854449453; 973264327; 874393490; -1; 288364086; 297909748; 808138329; 770312720; 994384184; -1; 534272723; -1; -1; 915041805; -1; 578901434; 319933953; -1; -1; 994648874; -1; 570877625; 108564141; -1; 546033882; -1; 24409373; -1; 332558859; 482578331; 673722723; 957150786; 960371095; 565965706; 902352914; 977772779; 724985485; 25973518; -1; -1; 436485982; -1; -1; -1; 917973774; 845679438; 724095599; 865342570; -1; 564521283; 448145484; 99689673; 513126898; 358422045; 408254498; 4610878; -1; 133845206; 265365920; 525608109; 777728762; 603415788; 357815550; -1; 131261836; 506434582; -1; 871171641; 464064977; 887026813; 348401227; -1; 680964553; 443807835; 213049627; -1; -1; 950282396; -1; 406999461; -1; -1; 672809001; 18609613; 641974309; -1; 706439097; -1; 536220570; 436544695; -1; 431055126; 139085630; -1; 798430182; 530001915; 920145005; 13715081; 699497907; 250252548; -1; 948446220; -1; -1; -1; -1; 445525478; 243080779; -1; 163734740; 897306227; -1; 748222460; 602421892; 52698273; 269727372; 247140221; 420871746; 452091440; 695548851; 82699048; 865167651; -1; 40927844; 896178347; 695726661; 297477924; 2720100; 687711100; -1; 492520097; 346381629; 865201726; 828171284; -1; 828045143; 560257723; 333165473; 65942774; -1; -1; -1; 51718564; -1; -1; 182629882; 997981407; -1; 546931807; 431689068; -1; -1; 827242683; 895623678; 294370539; -1; 514866686; 276739699; 601975648; 433177453; 562045756; 767367221; -1; -1; 792856629; -1; 363181061; -1; 556225249; 486526701; 985343235; -1; 924692493; 305231593; 764111090; 55672319; 573741064; -1; -1; 869140317; 762743397; 864673071; -1; 274815036; 855777563; -1; 428094734; 617141946; 549261740; 45572366; 980171653; 480004705; -1; 636357660; 893811059; 334247182; -1; -1; -1; 42599288; -1; 269149105; 5704639; -1; -1; 354066208; -1; -1; 599230829; 201261520; 327562935; 401863174; 272219151; -1; -1; 812557243; 834107286; 587565566; 698870768; -1; -1; -1; 175813006; 127519020; 656271796; 500321453; 615709138; 292947216; 505086848; -1; -1; 515417268; -1; -1; 297157579; 299915507; 22428527; 257871817; -1; 912532733; 715943718; 141913726; 520519578; 691320773; 313496103; 230683530; -1; -1; 180240708; -1; 902061123; 866358761; 906363903; 970433388; 745279920; -1; 611505922; -1; 936772862; 719551942; 311061675; 271759110; 578157256; -1; 890321652; -1; 519252815; -1; -1; 472679039; -1; 485323411; 609261647; 528636373; 994445247; -1; 336727996; 61768965; 977144006; 579235762; -1; -1; 805347091; 41398199; 157276007; 368454070; 416893530; -1; 12934377; 841432929; 919568018; -1; 614359290; 581482154; 329963735; -1; 257773294; 356618881; 790386523; 609911682; -1; 840629079; 933418044; 846816338; 334274103; -1; 560831972; 840092431; 808363482; 799965879; 17368488; 217341629; 275077211; 682574426; 493022674; 406259232; 824331026; 321230674; 949397495; 319490584; -1; 537138398; -1; -1; 732054802; -1; 450670783; -1; 175013265; 341783897; 700874501; -1; 923226929; 500455827; 341846695; 93523828; -1; -1; 992843384; -1; 772697616; -1; 123084065; 796764706; 439040384; 427783553; -1; 293157724; 653083581; -1; 635257649; 616670762; -1; 426672814; 78039; 254044769; 436282380; -1; 81668025; 238357596; 237299689; -1; 287509520; -1; 402327864; -1; -1; -1; 45846455; 502005927; 228372139; 17857322; 110017609; -1; 317719596; -1; 115502426; 399269098; 164853012; 405157162; 274463836; 574627729; 30266381; 506977525; -1; 390862224; 130124516; -1; 454166863; 349797565; 403699884; 913463156; 170535827; -1; 474857767; 81071293; 508876526; 499440514; 50071734; 410894406; -1; 984062315; 790371757; 431104391; 917779291; -1; 350430732; -1; -1; 572343701; 361007046; 640404954; -1; 69141372; 156883908; 693367675; 265843059; -1; 173173696; 313485302; -1; 81684803; 865307289; -1; 511685828; 294289180; 559534423; 454447737; 445761385; 956852268; 874195286; -1; 795067370; 990934327; -1; 291006914; 36428178; 837394474; -1; -1; 654212624; 438532884; 59678349; 131067599; 37052818; -1; 48258241; 238594391; 533297583; 544284897; 522951198; 182124221; 613579605; 681649959; -1; -1; 234303264; 723955483; 333350880; 890704058; 851383867; -1; 91132135; 874191579; -1; 838814183; 126281302; 200551453; 283570630; 62425265; 733590557; 72815743; -1; 461469279; 577241616; -1; -1; -1; 968719304; -1; -1; 156912288; 252647286; -1; 514419649; 309659878; 440760941; -1; -1; -1; 555719625; 341885555; 930125108; -1; -1; 374803067; -1; 173076788; -1; 213001808; 359749296; 136168458; -1; 987527290; -1; 199279892; 856075355; 718754237; 411758718; 453417000; 660304454; 857711259; 845653665; -1; 174524028; -1; 734356525; 135595426; -1; 860067479; -1; 749183302; 798079693; 865625842; 157479366; 720067998; 554660667; 163773248; 430010182; 865722135; -1; 427536559; -1; 64174401; -1; 242982911; 497754449; -1; -1; -1; -1; 503304291; 614294895; -1; -1; 119224280; -1; 290856770; 319118744; 814113070; 580179004; -1; 668719798; 598522643; -1; -1; 885166141; 739626531; -1; -1; 19029081; 362740898; 238793825; 321788553; 52177813; 113527736; 687943473; -1; -1; 458105914; -1; 347023009; -1; 699063603; -1; 386732333; 94260899; 210136189; 382436044; 586642749; -1; -1; 234086227; -1; 255429850; 784199899; 861767949; 705988795; 772465598; 616358489; 385109657; 284705007; 395192561; 895446629; -1; 983037394; 866741393; 523812721; 145322355; 383042248; -1; 744686994; -1; 909809667; 767692450; 352057360; 52801842; 701330548; 193705339; -1; 779575783; 208921950; -1; 260799372; 474877082; 565155781; 593692613; 766745264; -1; 909310881; -1; 776951517; -1; -1; 260669889; 220721185; -1; 144069138; 40104236; 766264091; 325482189; 101065672; -1; 544488278; 454600207; 428188164; 985213345; 898865168; 557403161; 576744692; 452654788; -1; 71474575; 150443042; 447919463; 79561763; -1; -1; 197450520; 57637180; 2726238; -1; -1; 645237514; 521824923; 301868552; -1; 906701476; 673646804; -1; 546473391; 859334473; -1; 397393910; 128981147; 439664959; -1; 46859639; 571703482; 187638724; -1; 534034411; 820428976; 635101055; 308761992; 943538330; 855276693; -1; 169868343; 74599096; 349126686; -1; -1; -1; -1; -1; -1; -1; 496539372; -1; 490044090; 309743625; 308073364; -1; 985463940; 239875807; 543844856; 122709010; 514714762; 161409454; 647576778; -1; 905259883; 935898820; 706350335; 868559689; -1; -1; 641203260; 874247857; 636402864; -1; -1; 344469477; 601240803; -1; 774750676; 359175314; 261840434; -1; -1; -1; 863790740; -1; 457076050; 355553518; 69271914; -1; 239410353; 276912907; 649857906; 757692407; 356582109; 65821438; 918110757; -1; 492303687; 633038067; -1; 538907410; 764055939; 470848402; 448785380; 13561688; 219804639; -1; 384269579; 901923870; 332434770; -1; -1; 677546563; 134784626; 435060090; -1; 46900904; 838475866; 872169315; -1; 953953571; -1; 292330837; 342481681; 868284883; 398440262; 446134581; 869669227; 801254229; 165806279; 168148493; -1; 73368447; 112367175; 891529095; 620995678; 568807528; 115135998; 518258800; 216149007; 158148578; 740465869; 995945666; 468317052; 325945957; 322990821; 239267625; 513831998; -1; 281818401; 788099905; 707949922; 335843560; 772499761; 388020521; 59805511; 464433518; 884497490; 35280207; 5079155; -1; 722951129; 120913634; 381779855; -1; -1; 467685193; -1; 80378750; 243463646; 749314081; 293385935; 807228963; -1; -1; 261357830; 397707565; 760559053; 36713719; 823003744; -1; 854639340; -1; -1; -1; 683692453; 726836351; -1; -1; 907164248; 284751952; -1; 112741729; 453514033; 454206479; -1; 376470856; 266076130; 238592894; 24939037; 366206869; -1; -1; 959141228; 267993620; 95958486; 857388779; 821291589; 315199558; -1; -1; -1; 200844551; -1; 237834028; 568558233; 656960657; 269996739; -1; 661391133; 614673691; 478210616; -1; -1; -1; 634737785; 798644405; 158499539; 317632428; 430439955; -1; 811037901; 308314236; 670479374; 915376168; 58328612; 572262513; 275887243; 889262964; 666336497; 714306943; 304093523; -1; 820849353; 372536604; 587115507; 615037919; 447203550; -1; 547521853; 62618990; 201894366; 273728930; 483296294; 793122082; -1; 947739335; 206243216; 287533041; 984602884; -1; 618047997; 118357263; 290002616; 259261185; 188360966; -1; 352006288; 22610920; -1; 642616509; 858617811; -1; 157074086; 29294803; -1; -1; 290960800; -1; 311347191; 812257418; 37771940; 577869558; 872706347; -1; 799845831; 932796872; -1; 590497937; 506338403; 370644348; 943029636; 460602957; -1; 290382763; 781840472; 596956124; 102269566; 939459110; -1; -1; 674819015; 672012762; 543179695; 227738926; -1; 187792823; 29283509; 363015517; 714461540; 850983621; -1; 194168042; 489032966; 964454031; -1; 386976165; -1; 745696819; 742960635; -1; -1; 527440638; -1; -1; -1; 914336644; -1; 200783447; -1; 92156638; 192255305; 168035356; 48972052; 112478352; 248977250; 873608336; -1; -1; 175850291; 99226839; 182835728; 464502751; 301690717; 471996015; 818382990; -1; 753729604; 840521167; -1; 970562784; 214982192; 726628472; 576296758; 179913923; 873656694; -1; -1; -1; -1; -1; 995755726; 847641176; -1; 80737316; 937743856; 83706188; 716287980; -1; -1; 573139903; 887643941; -1; -1; 949450545; 370092773; -1; -1; 248210627; 629158177; 234008099; 853706689; 464521384; 425177696; 190000301; 660400438; -1; 125940373; -1; -1; 864873004; 439454133; 369581624; -1; 473357521; -1; 764913363; 364730832; 678270225; -1; 430362126; 201958729; 412678248; 154013325; 705783546; 201807704; 741945996; 834533146; -1; 905438287; 649710118; -1; 945850397; 156298970; 980508933; 350027066; -1; -1; 513311847; 410174452; 839430071; 202694595; -1; 326517933; 831679765; -1; 495499368; 894571875; -1; 349783380; 591016944; 73943309; 702055598; 119176626; 27208786; 507357303; 223126693; 690661814; 913333432; -1; -1; 782006356; 917902531; 3317870; -1; 25340123; 510742134; 958088075; 720342849; -1; 630297652; 417564125; -1; 946845965; -1; 686204665; 129052322; 880842134; -1; 98520236; 952784765; 324898997; -1; -1; -1; 409473843; 768929389; 329814692; -1; 214131361; 699179679; 976377653; -1; 545100350; 59353222; 746356946; 713453785; 561254599; 629141877; 767194601; 146302929; 607664994; -1; -1; 602445257; 24967440; 219572979; 152217133; -1; -1; 195406463; 303073622; 253223279; 803169982; -1; 838217133; -1; 686308131; 6503885; 865505592; 472554378; 807049037; 178898222; 42822652; 940415799; -1; 392488953; -1; 376669661; -1; -1; 150879345; 997914940; 64637527; -1; -1; 173338692; 968934675; 964561947; 965180797; 595377358; 828716990; 3824699; 441658144; -1; 945376444; 711803505; 504700690; 779282220; 929306590; 409229960; -1; -1; 877679119; 956177912; -1; 701165482; -1; -1; -1; 444179795; 311155459; 778999065; -1; 42504345; 136980748; -1; -1; 250818363; 635072520; 811151852; 528419004; 616936451; -1; 287988522; -1; 754787178; 623825258; -1; 815660068; 7187369; 209848750; 468886216; 947434797; 397776844; 418172989; 606909477; 901816111; 482844232; 843823536; 924713098; 464740557; 155371839; 699417068; 398565958; 139673286; 21983900; 613096954; -1; 242842124; -1; 443631634; -1; 944876549; 961538289; 506130260; 746564760; 810566532; 611359095; 797141881; -1; 552804466; 630952215; 157909439; 340042378; 193811810; 545933842; 277407116; 317052793; 490052581; -1; 307633858; 593817440; 761731645; 346304278; -1; 773389031; 883345338; 121724487; 566013223; -1; 376167457; -1; 341499738; 412770484; 231350721; 938711616; 181688930; 843548301; -1; 881493598; 292141022; -1; 213574627; 151522071; 564476959; 685662583; 313052224; -1; 91378731; 245645365; 500888212; -1; 525627698; 543003373; 826212289; 636592096; 94524007; -1; 591491716; 125161382; -1; 411953451; 683898100; -1; 381849874; 616386859; 477197538; 6698046; 96977503; 587725972; 978993788; 131230143; 412455213; 427235384; 223420379; -1; 36199821; 215853884; -1; 857283232; 145769687; -1; 702943865; 986414530; 332936258; 124744415; 330316422; 528313512; 627707502; -1; 985389965; 880000243; 147204874; 222482176; -1; 156008765; 500280120; 702052826; 100438688; 179699457; -1; 364539961; 900731690; -1; 840998162; 408159155; 91097810; 188395027; 612186374; -1; 745816493; 544252105; 607261835; 165499471; 303030612; -1; -1; 843374890; 899953483; 246858694; 606668015; 797976873; 493035884; 391259982; 625640067; 255651671; -1; -1; 693966614; -1; 592627627; -1; 700644314; 924034018; -1; -1; -1; 350625715; -1; -1; 555484349; 158163897; -1; 770787867; 394029196; 374099754; 126017358; 574296182; -1; -1; -1; -1; 143175064; 384027461; 356992166; 328959873; 118374992; 979922316; -1; 484815489; -1; 624804480; -1; 581336540; 893379466; -1; -1; 590817222; 606594291; 54055179; -1; -1; 418274669; -1; 492602473; 729027093; 371147128; -1; 460055698; -1; -1; -1; -1; 777976579; 959153073; 359196020; 352017432; 433755938; 281483965; 621939126; 681611485; -1; 121952347; 481384830; 778249689; 884653248; -1; -1; 744779650; 185906853; 221042020; 151943801; 554175173; 556684822; -1; -1; -1; -1; 248560723; 513055185; -1; 557685522; 773338956; 638547798; 155341339; 290114080; 470009746; 192953348; -1; 868860253; -1; 119146103; 685289622; 794600285; 789490133; 354498323; -1; 865728265; -1; -1; 980084608; 303718165; -1; 284833115; 948080352; 692880199; 102041316; 283554234; -1; 206508517; 330758716; -1; 988567578; 202817899; 202396774; -1; -1; -1; -1; -1; 871314636; 190134878; -1; 283826077; 38614931; 348691995; 337532581; -1; 955685550; 953821454; 457279548; 365718484; 83005817; 969912006; 536589098; 552404657; 596994917; 842567262; 233294509; 929182250; 147764771; 103639151; 531994528; 88605313; 470196379; 609009942; 772151527; -1; 833970310; 715191409; -1; -1; 233953742; 967869159; 156404664; 292733744; 839552898; 962430785; 425333688; -1; -1; 790249612; 368530696; 527639812; -1; -1; -1; 755021642; 695492600; 255252744; 691706302; 906010964; 666536780; 238600631; 932057647; 887397360; 341118128; 914173037; 433595330; -1; 452347682; 705027204; 731230334; 749905668; -1; 188897976; 29563078; 393114509; 180209158; 766354001; 147844499; 781544189; -1; 597942405; 329906606; 719623117; 957232102; -1; 724305569; 893950276; -1; -1; 627004521; -1; 108584746; -1; -1; 989765021; 70940021; 133728547; 942441926; 890135196; 266777649; -1; -1; 503683027; -1; 634441613; 78034651; -1; -1; 770182117; -1; 909405131; 555577727; 901152788; -1; 269126267; 998254244; 378403235; 413443490; 71346483; -1; 387061085; 18730173; 741741480; 774422970; 893604291; -1; -1; 913580836; 509833091; -1; 550202668; 162316266; -1; -1; -1; -1; -1; -1; -1; -1; 884772036; -1; 780377313; -1; -1; 347564288; 132879447; 983052656; 326808679; 366918965; -1; -1; 863498689; -1; 630585306; 644230633; -1; -1; -1; 634285286; 258446743; -1; -1; 450350405; 472525991; 960707463; 897727667; 489079603; 572406471; 945982684; 271831348; 613286642; 907405994; 20203523; 764110702; -1; 417440708; 640060820; 765378523; -1; 259563889; 302439741; 159059408; -1; 415706715; 339801684; 556999562; 51571374; 934494007; 351308540; 725121739; 575071469; -1; 786313592; 285922342; 936790532; -1; -1; -1; -1; 8897991; 76010041; -1; -1; -1; 320676881; -1; 117148807; 519322567; -1; 980102121; -1; -1; 649213146; 853519839; -1; -1; 931648308; 374426258; 476798058; 447172940; 54415256; 419902724; 990507781; 745487868; -1; 230124496; 983375484; 874326634; 315730174; 74770828; 18209714; -1; 842531070; 491692800; 52510241; -1; 80356333; 254230151; -1; -1; 603693467; 439596792; 839416507; -1; -1; -1; 304057833; -1; 41509135; 400699376; 623809135; -1; 569050163; -1; 163026100; 263853214; -1; 858042202; 957998889; 408367327; -1; -1; -1; -1; -1; 781927098; 901576454; 49173569; 816317503; 475772896; 182463979; 189497108; 820982368; 476460603; 659318520; 751561748; 162438776; 458792399; -1; 566892531; -1; 414513070; -1; -1; 975824714; 411595164; 47434288; 646547765; -1; 503030031; 249490461; 551793835; -1; 741500066; 389188440; -1; 916025313; 295883257; 805091881; 243489625; -1; -1; -1; 283537985; 291987878; 343786787; 967397005; 941403024; 214514638; 344733738; 707355305; -1; -1; 919770564; -1; -1; 790369063; 273354535; -1; 52588183; 504427290; 254400809; -1; 1628159; -1; -1; 751614684; 235876664; 826682595; 640826247; 22419841; -1; 7455399; -1; 164755530; 527745748; 405683917; 484584763; -1; 266415583; 81693390; 854854326; -1; -1; 134386558; 679128441; 970799703; 847751741; -1; 32604794; 199767907; 220909319; -1; 36699120; 521880179; 908044591; 376014408; -1; 84188206; -1; 316164126; 757720050; 456332061; 471874730; -1; 591628081; -1; -1; -1; 860137149; -1; 735572226; 151932539; -1; 531141856; -1; 790448110; 49020026; 669644346; -1; 119706494; -1; -1; 359797268; -1; 430692625; -1; 784207398; 692201752; 867893096; 250832637; -1; 644700107; 736233809; -1; -1; 430985344; -1; 39117721; 184850373; 591448204; 46390639; 959622020; 367642156; 145569084; -1; 430184933; -1; 410052615; 91209336; -1; -1; 375726609; 578137703; 854304522; 753946146; 421713406; 708737065; 340987310; -1; 131657739; 443271490; 589856907; 435809392; 252550998; 620398365; 378361505; -1; -1; -1; 424868161; 634028483; 315232483; 46857399; 553209729; -1; -1; 171876350; -1; 421160504; -1; 347170208; -1; 771067744; 804965105; -1; 575995747; 718993748; -1; -1; -1; 60086314; 929077975; -1; -1; 58670655; 789566870; 787324844; -1; 419613752; -1; 392624609; 29214123; -1; -1; -1; 3599959; 790558290; 935941066; -1; 79419066; 386953708; 139316623; 73341370; 966300428; 661733358; 309250870; 273009880; 573901904; 288441103; -1; -1; -1; 174126402; 505568342; 137298478; 19445585; -1; 921431336; 536766896; -1; 512989951; -1; 228897689; 604119414; -1; 576347656; 850362885; 983609450; -1; -1; 449794102; -1; 80273794; 150017703; 697913335; 904958947; 226349617; 821009561; 713714031; 131985406; 299288212; 887372170; 282632144; -1; -1; -1; 888565865; -1; 552446194; 190973487; 455664202; 774020734; 738938805; 482212753; 470166920; 357530019; 572274685; 498706271; 973120476; 695803112; 456266519; 439947057; -1; 627963190; 501210448; -1; -1; -1; -1; 77758766; 875398620; -1; 297170893; -1; -1; 729605188; 927381765; 704217602; 594192912; -1; 57123163; -1; 479230502; 951840844; 249015601; -1; 981652373; 804991939; 530936431; 728688614; 375297007; -1; 489301688; -1; 891078822; 398538551; 346163203; 880471226; 894110717; -1; 786680693; 988021867; 273090548; 992579882; 551534911; 874036320; 968001910; 475796639; -1; -1; -1; 241936816; 545295814; 972162169; -1; 619298684; 463965912; 252259776; -1; 685446209; -1; -1; -1; -1; 842285636; 841539379; 935382500; -1; 426284700; -1; -1; -1; 356094150; -1; 559438211; -1; -1; 793137401; 777306023; 827976960; 115424972; 651107827; -1; -1; 915792231; -1; 595488518; 775161088; 997631596; 393109740; 996371299; 875234523; 80911344; -1; 905278705; 274527937; -1; 615170623; 149658580; 859232323; 107436263; 523188560; 62280609; 224757625; 375073387; -1; 215543966; 452681688; 16760263; 194085381; -1; -1; 497461419; -1; -1; 855435457; 806687504; 272246917; 364690696; 692796150; 890400115; 621709907; 549750113; 104689699; 145978926; -1; 352324531; -1; -1; 95546981; 982891116; -1; -1; 825928110; -1; -1; 894691362; 323982140; 669998767; -1; -1; 152716302; 781230267; 809046012; -1; -1; 269979422; -1; 491828590; 782771264; -1; 428797521; -1; -1; 75836658; 626147486; -1; 35772718; 810026371; 475013850; 475977386; -1; 942396659; -1; -1; 622173404; 153865142; 130191551; 935914848; -1; 658324532; -1; 326853015; -1; 427359392; -1; 831850778; 427458432; -1; 936911065; 376848189; 762211568; 875536357; 631845106; -1; -1; -1; 117055596; -1; -1; 748370774; 497874963; -1; -1; 603950460; 644578754; 911529695; 717252117; 613962639; 286123016; 612723057; 761360857; 909020861; 216145827; -1; 129815244; -1; 142524142; 130584127; 407935065; 307476765; -1; 348402464; 85438845; 965234616; 126429846; 94755213; 39411752; 405698932; 135913800; 472270151; -1; 340158188; 283029254; -1; 917150955; 135313874; 209066718; 148570645; -1; -1; -1; 172436951; -1; 362037481; -1; 730727180; 191456535; -1; -1; -1; 937994054; 62922647; 851984133; -1; 241613988; -1; -1; -1; 15759792; 166468021; 79136070; 122142866; -1; 814703324; -1; -1; 610677869; -1; 434710476; -1; -1; 400020750; 787103032; 443375467; -1; 411405836; 161222354; 681202092; 482328224; -1; 736499880; -1; 644168409; 380009887; 544741271; 62210806; 687727360; 128739207; 392268869; 159805573; 235955936; 40006065; 302246884; 24591506; 153615577; 459696940; -1; 66969756; 979509790; 776826471; 452703419; 66569842; -1; 994629575; -1; 469061823; 868319011; -1; 937621216; -1; 34930297; 733880797; 185957178; 611601999; 226621922; 917048225; -1; 230519133; 32646236; -1; 732116817; 271063503; -1; 663453663; -1; 22900165; 361678307; 377273287; -1; 845348721; 744377152; 84605317; 820050917; -1; 913844396; 183379534; 851391353; 660022714; 114153558; -1; -1; 741054522; 216567930; 136359006; -1; 519971154; 946341983; -1; 266893641; -1; 915859718; -1; 694665343; 183392558; 163831280; -1; 667302229; -1; 498269727; 755678724; 925614194; 211318846; 759815230; -1; -1; 634019088; -1; -1; -1; 911974144; -1; 44553374; 311043234; -1; 799667129; 118454688; 508407443; 125409771; 396435377; -1; -1; 508510621; -1; 346311538; 905318925; 970183278; -1; 161402274; -1; -1; 984137717; -1; 290766276; -1; 560735754; -1; 594915740; 230862245; -1; 758481786; 844294594; 998405004; 332693083; 196628692; 242598086; -1; 616069214; 627684100; 866298258; 462050827; -1; 826721825; -1; 581777857; 225684340; 432538084; 154984978; 307519788; -1; -1; -1; -1; 581967794; 68970522; 692858959; 988675823; 401068592; -1; 320525926; 572592323; 29226192; 157178008; 755536698; 35295787; 609337754; -1; 351735375; 972536626; -1; 659531441; -1; 6486494; 900648814; -1; -1; 742302040; -1; -1; 686112781; -1; 984438198; 507921462; -1; -1; 161395137; 396848766; 99215030; -1; 532634947; 444810067; 655724763; 761944126; 705703812; 381012538; 909883567; 495893600; -1; 332744531; -1; 532083635; 539989501; 658668631; -1; -1; -1; 593396345; 379797367; 197290850; 423501416; 225061028; -1; 549338717; 809115468; 701706145; -1; 355180378; 899812102; 699555445; 258062796; 246842008; -1; 120143965; 87533782; 605239937; 192045814; 264366022; -1; 833321572; 772194003; 987447155; -1; 433321052; 847023185; 774434555; 485662721; -1; 695757183; 276927253; -1; 278978627; 712287335; 897201284; -1; -1; 416516511; -1; -1; -1; 634594322; 737308485; 689879206; 115159795; 468576786; 953500134; 426065611; 816136700; 638842989; 796670983; 474446519; -1; 114038191; -1; -1; 681652283; 755994738; 955878593; -1; 317982252; 464358654; -1; 556918570; 680754832; 243395452; 612509709; -1; -1; -1; 995725100; -1; 971920776; 477967780; 141716396; 30489976; 914673548; 891667784; -1; 516639381; 999741889; 766768778; 524482727; 280280333; 425198783; 135102174; 315326286; 619933871; 975954515; 876193242; 446124312; 806092475; 300248468; 384121800; 47778775; -1; -1; 410580073; 411918439; -1; 583565780; 403318638; 485900456; 315348319; 388551712; -1; 280071197; -1; 110177744; 897882857; -1; -1; 123191897; -1; 231026948; -1; 25767294; 476088712; 969620743; 326914748; 219829014; -1; 721631206; 783345626; 860598876; 491102425; -1; -1; 976399964; -1; 294965897; 365824271; 190737746; 163987146; 777113360; 656098401; 728181123; 432205697; -1; 244837046; 17159608; 116095627; -1; 259294596; 880705286; 994918711; 526622118; -1; -1; -1; 498601104; -1; 366833033; 501504230; -1; 840203604; 406976126; -1; -1; 767907151; -1; 83207795; -1; -1; 727213677; -1; 459171575; 2591699; -1; 3657733; -1; 291411427; 744181493; 180409731; -1; -1; 514127630; 737061733; -1; 625220804; 965705819; -1; 858398657; 325302575; 197020255; 406652313; 263937172; -1; 419713570; 861261596; -1; 111950460; 469163571; -1; -1; 813346618; 146771623; -1; -1; 311788698; 106156820; 713776124; 349666937; 800057646; 364005978; 352519512; -1; 399755818; 453344845; 37261603; -1; 162817129; 171814858; 333628354; 727891434; 121107179; -1; 734611506; -1; -1; 286620588; -1; 533301452; 167774449; -1; -1; 202025236; 170687046; -1; 729422776; 387775330; -1; 760028463; 84364611; 840488523; 126649817; 160401943; -1; 443056465; 680129760; 7435875; 694096844; 550587356; 593563215; 221830055; -1; 873876619; 804893888; 606704522; 197086711; 607014566; 465948727; 357729744; -1; 957699911; 832063801; 255855669; 376927850; 347965083; 64916760; 533295829; 292753361; -1; 948085302; 307994727; -1; 573124588; -1; -1; 847454287; 100350748; -1; -1; -1; 160619535; 941478296; 596934750; -1; 831632958; 268726553; 947337728; 431768968; 854630558; 975274929; 881122182; 517471197; 606896924; 420049624; -1; -1; 788726000; 667121440; -1; 257324049; -1; -1; 830484221; -1; 397069442; 426945398; 881881545; 651733948; 437911461; -1; 877851065; 722557661; -1; -1; 98054794; 421321686; 741138954; -1; -1; 993448812; 18330843; 494638553; 640827138; 722738232; 377306680; 22244950; 901248107; 443153701; 913174983; 704224262; 384803911; -1; -1; 648323796; 155927954; 244126158; 92406908; 702027063; 453818446; 217035883; -1; -1; 811178337; 792252165; 562098133; -1; 773440167; 550247221; 610794420; 64718148; 379633050; 46154386; 903830302; 392794510; 200487944; -1; 946965867; 762608776; -1; -1; 845184748; 259866014; 196582986; 384394470; 373805698; -1; 114845452; -1; -1; 908024231; 185684520; 760991175; 219191721; -1; -1; 262874566; 153739764; 193185347; -1; -1; -1; 988410502; 60736130; 636712550; 65137447; 468877275; -1; -1; 607066096; 833561306; 551946; -1; -1; 613516934; -1; 326559745; 494675375; -1; 777473220; 716124497; 504330487; -1; -1; 759950745; -1; 215806557; 623432931; 350813440; 334509717; 849644554; -1; 713397193; 201460248; 238897784; -1; -1; 851191520; 713635239; 138012446; 612576898; -1; -1; 440436265; 126135536; 827216406; -1; 837442327; 311259819; 472736129; 134903942; 906195857; 481671844; 317600766; -1; -1; 499858690; -1; 853031716; 850895332; 480952766; -1; -1; 27413565; 397578311; -1; -1; 313072112; -1; 276797102; 127540141; 21658400; 141338898; -1; 547422798; 678505765; -1; 233371286; 473742163; 682122245; -1; 698141892; 649687400; 401863619; -1; -1; 895781468; -1; 417390167; 383676450; 883545568; 993444456; 30671786; 366061625; -1; 104712924; 796410286; 681137498; 122687131; 726350543; -1; 294575651; -1; 587622032; -1; -1; 509335722; -1; -1; 89341069; 829070440; 345385047; 537059906; -1; 309714334; -1; 746526770; 826059093; 804614835; 964985279; 52909615; 777896264; -1; 114988856; 164994158; 648075666; 873737276; 380812991; -1; 114548209; -1; 2150638; 637652308; 707583196; -1; 610317313; 341687876; 53781601; 876207682; 818129321; 190276999; 540400886; -1; 94151657; -1; 780059193; -1; 930100196; 798220910; 198628872; 21475015; 417047821; -1; 689096010; -1; 15111869; 614584487; 365478037; -1; 757123261; 232783705; 535024631; 116605017; 731469491; 286340318; 160163799; 448711151; 206904685; -1; 872702753; -1; 194516596; -1; -1; -1; -1; 331024176; 293439994; 133877987; 452736340; 918469091; 938681030; -1; 86698594; 534740062; 671805702; -1; -1; -1; 960231497; 1751242; -1; 44292198; -1; 183872447; -1; 937543031; -1; 699071567; -1; 592927888; 212519337; -1; -1; -1; -1; -1; 821662169; -1; 8929103; 945549463; 383112905; -1; 901978699; 84020009; 53658144; 390668140; -1; -1; 821080603; 650140780; 321002804; 816319124; -1; -1; 296081391; -1; -1; 854944000; 71479171; 221763847; -1; -1; 152046596; 190213222; 924692606; -1; 173360182; 391857483; -1; -1; 439558936; 285066313; -1; 854461694; 699719848; 418836016; -1; 313363639; 969287654; 103735540; 748295550; 926996453; 264708147; 823236465; 878521571; 18173051; -1; 435178842; -1; 450161514; -1; 388644374; 25753075; 222293059; 510551433; 92939927; 846917728; 16892947; 940742097; 534388397; 125291615; 467995828; 988230968; -1; 405436734; 791521310; -1; 117572208; -1; 42887075; 541978735; -1; -1; 267149906; 217524410; -1; 402200840; -1; 748569406; 65153809; 647011079; 819042417; 813319741; 487890335; -1; -1; 160617154; 953383537; 838679863; 290590421; 110032751; -1; -1; 360153823; 869523213; 374464503; 359479879; 48233462; 80772641; -1; 692737964; 953705891; -1; -1; 416140935; -1; -1; -1; 654790733; 418435151; -1; 805409241; 26037212; 194819933; 336307300; 910781723; 44309747; 678897746; 39224352; -1; -1; 981175760; 153269362; -1; 219376859; 885123995; 216326067; -1; 97786970; 691467247; -1; 18872627; -1; 343661794; 739385753; 114149911; -1; 41134106; 936738079; 267772106; 871404812; -1; 593403808; 133643919; 209010699; 759298466; -1; 682818174; 464742173; 583418581; 891585802; -1; 565436887; -1; 208522669; -1; -1; 142998439; 923378397; 395742547; 827001123; 847421381; 174474393; 413793391; 465867187; 218962008; 781589709; 289241603; -1; 492703546; 785909424; 463671068; 553302789; 581071267; 61783679; 974472262; 699656499; 224349302; 365757; -1; -1; 667873782; 477898168; 364105410; 687262180; 356569430; 392450661; 180179525; -1; 835511621; 859672236; -1; 913333737; -1; 130340236; 520145165; 950548733; 31518575; 442565847; -1; 515564919; -1; -1; 142650301; 49800921; 654391189; -1; -1; 612466783; -1; 438596998; 426968207; 893064256; 150974391; 603305570; 143286754; 748540050; -1; 636779591; 101715336; 107095520; 93811127; 535375903; 784524231; 407818347; 19038511; 242525797; 482104423; 415232317; -1; 22432105; -1; 422834456; 425777599; -1; -1; -1; 34565642; 596189405; 567208067; -1; 790766715; 273039902; -1; 164158339; 515088018; -1; 156800338; 87943291; 577607421; -1; 295078388; 366362785; 81564659; 802173640; -1; 751808525; 502988380; 182717927; 234706444; 52622182; 225789811; -1; 765163134; 41243972; 678985012; 650537085; 109943717; 933170236; 542046341; -1; 336898408; 389444856; 482739833; 349436650; -1; 68274828; 860065919; 158737956; 351585981; 294428804; 156558563; 830788136; 471328555; -1; -1; 435168961; 824199328; -1; 118282344; -1; 563707955; 640730630; -1; 192111893; 964270389; 206617179; 507437246; -1; 500861117; 356463336; -1; 689095933; 74340654; 10878058; 75157637; 623307525; 144727026; 159604417; 559214236; 157143176; 31607333; 294216782; 691631629; 972455378; 191471840; -1; 19689528; 211862974; 958462755; -1; 462521807; 685244610; 921081133; -1; -1; -1; 225054173; 574518190; 288122090; 93181448; -1; 865885085; 23174741; 777597562; 971509955; -1; 764297910; 78565975; 631399706; 418146276; -1; 664814978; 178799977; -1; 79561999; 60037124; -1; 581844887; -1; 799543680; 458600585; -1; 536189291; 578162300; -1; 215110007; 539480290; 437200760; -1; 172242628; 549519657; 947422341; -1; 808124818; -1; 135765023; -1; 817350233; -1; 980089301; 50519711; 163050350; 858977562; -1; 220498136; -1; -1; -1; 19700773; 421547624; -1; -1; 786124038; 723903751; 82274312; -1; 310425555; 487249699; -1; 62502329; 264819613; 433979224; -1; -1; 573745288; -1; 222055633; 55255093; 643426883; 536651257; 801751815; 320434638; 877936506; 334602609; 632698225; 822329702; 361907518; -1; 174346064; 145381605; -1; 453426905; 553130062; 70152743; 537118786; -1; 535229724; -1; 527620732; -1; 116891868; -1; 487734601; 582192521; 991369423; -1; -1; 715282240; 542950666; 38549177; 844370760; 392292324; 425522368; 356238119; 804874646; 703571219; -1; 159221313; 620465900; 698128944; -1; 524589093; -1; 561164520; 505676178; 926974746; -1; -1; 306793264; 287019827; 466408145; 384384309; 160889346; 66039897; 767816703; -1; 855372954; -1; 85458626; 568396566; 134085224; 142819362; 335817622; 143492085; -1; 578317814; -1; -1; 402242511; 499994706; 405716621; 331078808; 522165193; 260960604; -1; 758047254; 839413309; -1; 24000425; 813173455; -1; 416394500; -1; 151337670; 555671091; 86480846; -1; -1; 772794098; 209223541; 780727834; 246989068; -1; -1; 986503740; 262250224; -1; 637551699; -1; 294228319; 66321536; 160184013; -1; 137849751; -1; 622528459; 606616070; 760996378; 929758180; -1; 442471514; 33665553; 891260554; 880613429; 229045059; 615100821; -1; 567327371; -1; -1; -1; -1; 655246014; -1; 926818598; 154465306; 306430209; 942413323; 444417463; 830268535; 165561550; 910270369; 480859336; 829725364; 613749031; -1; 365261639; 542591205; 70707063; -1; -1; -1; 318106357; 135925138; 870889376; 51047007; -1; 400387985; -1; 666306981; 789165389; -1; -1; 6877794; 261461163; 521991570; 457168364; -1; 153074025; 998165436; 958278484; 157761677; 207972705; 292229770; 722292283; 478033947; 765371978; 752155712; -1; 117732171; 100989150; 957707975; 522274864; 573355555; 10745505; 404624903; -1; -1; 67164907; 323156719; 188115176; 864381952; 89354707; 712031692; 697475312; -1; -1; -1; 428375071; -1; 966571711; -1; 510052308; -1; 738747275; 271817687; -1; 152652520; 737920702; 542524563; 69607645; -1; 997936402; 934335422; 640777013; 376141774; 872879517; -1; 444228182; 228432340; -1; 963690555; 847896670; 538989332; 302538504; 714115345; 245486327; 770799699; 44791395; -1; 558566533; -1; -1; 241338652; 860721928; 184138150; 888511826; 909967362; 987413800; 252648143; 903132087; 239780374; 389318978; 636781548; 296642746; -1; -1; -1; -1; 965055953; 369679809; 966863722; -1; -1; 938114039; -1; 825119637; -1; -1; -1; 130999126; 724212101; -1; 684154370; 573707390; 111076777; -1; 588437989; -1; -1; -1; 805005239; -1; -1; 858495331; 97999556; 707580573; 535607507; -1; 180728471; 839724663; -1; -1; 138946740; 43045028; 216535244; 644313408; -1; 638949696; -1; 678257285; -1; 835936594; 774034704; -1; -1; 354744185; -1; -1; -1; 736885668; -1; 512848704; 372467001; 338958891; 527536898; -1; 918060724; 982497389; -1; 410530053; 462925885; 505889056; 789215557; 123866538; 386230629; 339802659; 230083762; 161883153; 32566786; 681162770; 391691906; 158748643; 918505594; 965154482; -1; -1; -1; -1; -1; 440573339; 260026499; -1; 59759322; 764754077; 769289697; -1; 102588593; 835734643; 862764806; 103394397; 96419812; -1; 303748446; 731629470; 219090197; 732544546; 777076799; -1; -1; 627899054; -1; 159735241; -1; -1; -1; 174191724; 635393284; 425046357; 860221062; -1; 872269269; 104249830; 437743290; 789653028; 228598169; 299981739; 867525044; 196146647; 371321434; -1; 502127458; 89276174; 62504637; 190292789; 489889705; -1; -1; 677738392; 384206104; 461030266; 139710767; -1; 570731165; 465286054; -1; 588521911; 463808978; 639287797; 321634768; 332544627; -1; 61897863; -1; 502545759; -1; -1; -1; -1; 598480694; 4708536; 827603898; -1; 221375725; 822890162; 127110201; -1; -1; 953177738; -1; 603658812; 327781661; 852451636; 800197965; 97211373; 643052371; 284704969; 755783820; 577241678; 623327260; 290393561; 22995452; 575385939; 2345983; 986893804; -1; 660829316; 967901360; -1; -1; -1; 838102228; 318162582; 502209474; -1; -1; -1; 788121324; 436393234; -1; 688117306; 54518182; 379337034; 199137599; 229840725; -1; 843740758; 207216622; -1; -1; 305902419; 638438997; 908030803; -1; 750835755; -1; 585179382; -1; 228379196; -1; 861128605; 178154038; 250516769; 24090821; 236873495; 273682088; 234572929; -1; 427154775; 874849851; 354543710; 715356593; 133158395; 719720769; 90287212; 964970564; -1; 864961306; 213631112; 63513449; -1; 78500773; 213422999; -1; 755292102; 729689431; 146214906; -1; 230742122; 729891216; 221204503; 122904683; 164410541; -1; -1; 736832298; 265196636; 640841949; 85690152; 865677179; 967027407; -1; -1; 584329116; 439772305; 890358200; 548262696; 503670716; 619601083; 103173964; 362632922; 41048880; 994838215; 51236200; 185673073; 263939784; 27570746; 845551369; 316695122; 467473307; 545264337; 327245834; 518852098; -1; 678673244; 871823102; 680796931; -1; 872696754; 958170079; 518507145; 652972990; 920404816; -1; 335473507; 875806613; 401463768; 541931118; 744596166; -1; 331442275; 975196269; 334644068; -1; 208089016; -1; 299149588; 894934478; 477293463; -1; 873894900; 378974204; 306291; -1; -1; -1; 950065353; 271057151; 984378631; 174118009; 60638398; 948408426; 548349944; -1; 596961623; 809347821; 994120210; -1; -1; 333803016; 837833405; 361812796; 558622035; -1; -1; -1; 787235114; 461337274; 553061038; -1; -1; 641406529; 347352706; -1; 242579728; -1; 310593182; 524460457; 439717576; 825305667; 727312420; 246418211; 288201712; 111590704; -1; 784558672; -1; -1; 467832021; 110767352; 96714208; -1; 709721606; 298748917; -1; 627859350; 232051863; -1; 980113438; -1; 598025275; 625548330; -1; 741298954; 458625431; 150144367; 58172982; 760066786; -1; -1; 286608477; 241664380; 109367722; 783293729; 73022549; -1; 775772568; -1; 435753948; 756302760; 493501196; 278823436; 867585751; 673065385; 90973201; 645602143; 116208498; 351557197; 549166059; -1; 439360936; -1; 727171134; 518361075; 448604423; 722669633; 822717334; -1; 890859805; 203803848; 8399076; 627327144; -1; 726683994; 180008299; 724241080; 564247184; 61060117; -1; 643738281; 432617926; 790066245; 663868439; -1; 99649449; 796954928; 330139274; -1; 31780299; -1; 324021268; 728630311; -1; -1; 912989305; -1; 946174224; 689722652; -1; 865217152; 25356543; 24697864; 221054355; 417528650; 177926958; 97256924; 982197509; 578713427; -1; 16825806; -1; 25690012; -1; -1; -1; 821585921; 522308077; 107135029; 330377182; -1; 540825828; -1; 726168168; -1; 885793743; 251707101; -1; 753673122; -1; 856880845; 348775410; 200460833; 567190977; 65697971; -1; 134150336; -1; -1; 608285411; 413070249; 588363223; 499347261; 969112956; 416364943; 181794354; -1; -1; 634457086; -1; -1; -1; 324437269; 251571892; -1; 83188018; 640967550; -1; 238607635; 543279689; 844814877; 508762784; 677497665; 527797973; 993005305; 233811531; -1; 128417211; 97353821; -1; 505283519; 697148128; -1; 232792531; 415779601; 961186661; -1; -1; -1; 921545738; -1; 232076380; 743206062; 438899739; 308016937; 988327848; 704576499; 840002316; 238662101; -1; 256353717; -1; -1; 302962533; 799408142; 74933168; -1; 112018537; 483292538; 3270151; 626779593; -1; 551228669; 630107874; 807263161; 679494731; 155657232; 869319457; 469028291; 91448573; 323110451; 339206384; 680795354; -1; -1; 708798467; 827139767; 710517816; 434850397; 825549920; -1; 968406822; 213337985; 737225996; 988121171; -1; 88428823; -1; -1; -1; 398247355; -1; 10848647; 918700036; 990877773; 167401343; 181302107; 160953042; 179693630; 180814436; 425980731; -1; 292974815; 724661837; 819727300; 276888585; 558595079; 310500625; -1; 38770376; -1; 288038094; 944301534; 9129255; -1; 661244070; -1; 459616541; -1; -1; -1; 396476235; -1; -1; -1; 808495131; 16951975; -1; 115088320; -1; -1; 29016060; 771687271; 967591524; -1; -1; -1; 727423542; 723661105; 700211755; 79508899; -1; -1; 335932232; -1; 832151156; 180414196; 621068692; 558748273; -1; -1; 512713; 462318044; -1; -1; 148176891; 622817172; 267457896; 543769653; 306619062; 571126953; -1; 163261392; 689040585; 457039479; 872997051; 683518631; 239708795; -1; 406450654; -1; -1; 746839398; 633715513; 909550284; 443867513; 356543163; 293262274; 715238104; 25990264; 274926504; 455307225; -1; 38952118; 30607747; -1; 358459497; 917798954; -1; -1; 948133264; 79520310; -1; 970766556; 662730185; 567215519; 27004179; -1; 577008404; 980274297; 322099234; 272505434; -1; 272288380; 351360237; 899171760; 653474762; 212838889; 953469480; 874765796; 290725123; -1; -1; -1; 270418190; -1; 36181165; 753386607; 971383603; 666520339; 480886267; -1; 301664428; 703409020; 867436057; 372998158; 530705208; 121337439; 365248466; -1; -1; 894426511; 628754171; 237374673; 53579423; 435218061; 576339386; -1; 56766280; -1; 288958358; 675369052; -1; 689162810; 845258364; 398720602; 526726304; 40249467; 929552215; 668711992; -1; 67970070; 793517167; -1; -1; 686236526; 622315115; 816205508; 21215447; -1; 214932050; 413888569; 394090290; -1; 352033851; 287280850; -1; 430177585; -1; -1; -1; 680985822; 873761603; 758110; 674656812; 193545604; -1; -1; -1; -1; -1; 937419695; 477306014; 623032258; -1; 693757669; 392633524; -1; 868426650; 575983693; 157311875; -1; 35242766; 851864063; -1; 914065053; 475006381; 774850365; 699875468; 523652962; 471988806; -1; 540561149; 21337960; 291790591; 381400181; 778364213; 326580242; -1; 943778236; -1; -1; 222957608; -1; 302198815; 382272657; 202446815; 762965730; 42961190; -1; -1; -1; 726683670; -1; 124328354; 63595248; 446948840; 181898966; -1; 395292448; -1; 981816436; 512136733; -1; 269267023; -1; 121604291; 276784858; 930119559; 834949772; -1; -1; 465103037; 240712292; -1; 382140608; 523538197; 430743247; 262972680; 197747525; -1; 774335807; -1; 348273913; 110179254; 98334654; 307165339; -1; -1; 207307337; -1; 460155619; 108631616; 49924328; 152163843; -1; 918794335; 129182880; 954150944; 583643146; 660731953; 253075133; 303425570; 2238419; -1; 910116281; -1; -1; 593843747; -1; 838562166; 41648577; -1; 327174535; -1; -1; 708979043; 967830515; 392253025; 436753624; 762820978; 55948885; -1; 703742864; -1; 716156725; -1; 41249995; 132895548; 379654088; -1; 142183297; -1; -1; 417655374; 647752129; 703644530; -1; 475546898; 468875955; 441980811; 846661928; -1; 867169249; 588291575; -1; -1; 208989613; 521703168; -1; 979017440; 84621710; 132618294; 251487010; 75932319; -1; -1; -1; 297507564; 385846694; -1; 505063147; -1; 737266562; 137731186; -1; -1; 866152321; 838706893; 722436022; -1; 981176485; 148717860; -1; 140323096; -1; -1; 280136868; 894220433; 76582585; 976051366; 353849715; 209865745; -1; 869819496; -1; 343074155; 395414325; 131566268; -1; 557151473; 12421289; -1; -1; 599315997; 310187061; 103140794; 328411340; 167744587; -1; -1; 529961521; 454460879; 917541038; 743026169; 901903479; 42859910; -1; -1; 999073628; 807419098; 614568379; -1; -1; 589201203; -1; 462095000; 110923902; 557905763; 582108589; 456373093; 790096269; 219674500; 28214619; 99531127; 646019522; -1; 664096516; 830657100; 180182806; 154179001; 258000922; 693863071; -1; 217745300; 631208855; 273534176; -1; 325591037; -1; 306538006; -1; 168588894; -1; -1; 54635700; 175984531; 731661151; 689363491; 91496846; 369953719; 312635683; -1; 733785036; 770823585; 123355375; 644540913; 912646820; 44268253; 97228974; 624020855; 464306374; 136807469; 866864895; 834844046; 690092260; 754033417; 633532697; -1; -1; 431441542; 145066561; 578181840; 149035025; 860990690; 945676176; 501972486; -1; 565002329; 841643389; 771163396; 636605723; -1; -1; 903408092; 727308185; -1; 464375453; 845392778; 867853973; -1; 631253666; -1; 664193108; 559936082; -1; -1; 605970206; -1; 729306187; -1; 462637785; 2956315; 54249352; -1; 41983886; 69618021; 510836581; 376067470; 775435897; -1; 690125445; 603090169; 615301392; 365098655; -1; 713052231; 658407773; -1; 422164791; 480955544; 8577142; 606591113; 516501153; 93412335; 587542515; 335256513; 361896616; -1; 760592013; 773444613; 982900115; -1; -1; -1; 862801741; 732584010; -1; 258991786; -1; -1; 479413416; -1; -1; 216963521; 991538963; 294152941; 590529978; 667273284; 991601554; 320732535; -1; -1; -1; 507035629; 952660209; -1; 838177876; -1; -1; -1; 463749582; 858281761; 710157248; -1; 435856846; 268567190; -1; 699711720; -1; -1; 875960077; 790191071; 911565463; 231435986; -1; 372513530; -1; 410893453; -1; -1; -1; 613753934; -1; 949074001; 897180963; 979167420; 877697028; 92602057; 639330916; -1; 83156592; 55187277; 432800531; 267781136; 989786883; 638955975; 62015310; 995535386; 908428491; 377239502; -1; -1; 664174719; 700368165; 189177423; 574901644; -1; 124842081; -1; -1; 159892373; 195855339; -1; 672518756; -1; 491116790; -1; 997315260; 212170227; 101536324; 127548040; 789428427; 700443789; -1; 451915354; -1; 191302333; -1; 482743492; -1; 758964972; 411122560; -1; 19802074; 165425604; 764293704; 947450059; -1; -1; 629984538; -1; 461753266; 284951888; 442085637; -1; 796072028; 223442652; -1; 426490873; 134152611; -1; 197832771; 424579068; 884326316; 880078422; 850032793; 193431239; -1; 948803343; 116454190; 746711751; 86387921; -1; 667852482; 975743012; -1; 554534933; 175774337; 914509774; 523637080; 93516167; 28289662; 153125224; 625953851; -1; 528313625; 540653241; 347028655; -1; 767816788; 869312033; -1; 152821352; -1; 721803344; 146625980; 195225056; -1; 534334972; 127653089; 251628795; 620935824; 169494224; -1; 79555215; -1; -1; 343585562; -1; 418492664; 561141101; -1; 63000272; 98799198; 436181258; -1; 707768967; 211699092; -1; 280617109; 116097869; -1; 586825849; -1; 788479514; 313293975; 80017093; -1; 893810949; 128531766; 237505495; -1; 626511139; 593773591; -1; -1; 13875216; 898652827; 298547542; -1; 17123832; 966261273; -1; -1; 73636061; -1; -1; 546781137; 749955519; 33994520; 461293466; 823527884; 116221542; 147191736; 77715027; 598311463; 677593880; -1; 683337654; 32313539; 694262233; 150471383; 133472979; 782546172; 662887003; 625816103; 299577528; 365445983; 566246570; 782647453; 52449379; 787144352; 33814965; 412953277; -1; 406724235; 379917481; 352717538; 578939443; 635204539; -1; -1; 426397608; 402680487; 752212516; 484533418; 796678004; -1; 784161045; -1; 421022404; -1; 266993608; -1; 442740347; -1; 222970156; 663816174; -1; 78898203; 421861950; -1; 398084343; 836036026; 14896470; 579999781; 788650686; -1; 372707445; -1; 602770210; -1; 413924313; -1; 585094566; -1; 516970260; 17428697; 719693876; 737786098; 163812046; 626233403; 605656101; 241754374; -1; -1; -1; -1; 433645601; 836225010; -1; 970050529; 710709966; 818969860; 215758767; 974423372; 930710173; 139161908; -1; 258746668; 581259969; 788291036; 715100639; -1; 778304124; 359217158; 176625232; -1; 80428451; 824858269; 606824034; 277495980; 207069852; 659777180; 690137523; 887936303; 770566107; 335901889; -1; 92263119; 834374174; 839685307; 279054409; 278301535; 732955672; 308096230; 982287876; 754726085; 977890396; 255663596; 821381356; 311419799; -1; 427298065; 270048706; 189262900; 200536104; 854500001; 198091262; 252441052; 14556688; 332782235; 870565847; -1; 651736185; -1; 193838091; -1; -1; 616641431; 831943242; 384918075; 746878650; -1; 756766888; 279867000; 667589919; 599339631; -1; 449990870; -1; 817050396; 152842103; 793649446; -1; 910188340; -1; -1; 501728968; 494883144; -1; 257194147; 456147745; 559098608; 271859571; 224398397; 569103097; 146243203; 867788168; 256900866; -1; 555266856; 346315549; -1; 70251034; -1; 647059481; 44626447; 398260940; 235427898; 114514646; 509758015; 914149342; 730794263; 859352051; 526253596; 110288341; -1; 432214473; 321217377; -1; 113842130; 368833957; 95820219; -1; 182307896; 695341360; 632245727; -1; 603490048; 877259276; 377358965; 254546819; 115889402; 369487201; -1; 188538847; -1; -1; 170585460; 310047116; 977577091; 678823362; -1; 397344081; 487204345; 422930612; 329376107; -1; -1; 845799656; -1; 377353470; 704196439; 493849473; -1; -1; 161245688; 917010866; 259923575; 109606258; 879334224; -1; 520302372; 679322139; 707649365; 760188000; -1; 706638917; -1; 821071433; 456938147; 526116555; 486041905; 556258137; -1; 739485994; 735926610; -1; 764674625; 966623187; -1; -1; 338747469; 338475360; 124232710; 129170910; 387076791; 832826392; -1; 127598806; 230675055; 829609289; 802701939; 129239091; -1; -1; 478830277; 756040151; -1; -1; 782172786; -1; 778104129; -1; 687647200; 340592984; 517638911; 785302853; 29927537; 773109608; 229591898; 289763899; 702528647; -1; 783878844; 416000532; 694004689; -1; 634057402; 443221304; 970493137; 593196349; -1; 655972539; -1; 681120529; -1; 537898027; -1; 628680371; 568795434; 145366923; 292207469; 155807532; 866370912; 885378776; 885462450; -1; 786325800; -1; 552132383; 577017482; -1; 401314260; 75962207; -1; 756422518; -1; -1; 171309230; 434709196; 525365302; -1; -1; 858108854; 560943087; 130302445; -1; 848104925; 764653667; 537657431; 339259819; 659130258; 109746326; 82265494; -1; 645337453; 713539406; 594496969; 890774408; -1; 738554125; 489526809; 729312381; 715478399; 736647772; -1; 469766129; 598693175; 755278999; 795174431; -1; 773993763; 404716346; -1; 461577789; 190222405; -1; -1; 282965231; 297443999; 309398707; 22076074; 703814441; 733334063; 432620501; 237515892; 331927924; 147130761; 75150345; 387840198; 406395269; -1; 524018604; 429782032; 678700295; 831613889; -1; -1; 286935794; -1; 616499582; 74414671; 371423578; 121494357; 345895137; -1; -1; 646002444; 399669476; 31049232; -1; 421415935; 974434973; 59205259; 779011263; 199327904; -1; 539636530; 831011658; -1; 342507168; 226775316; -1; 812219058; 643847931; 816384536; 78432033; 844989594; 794947376; 790821316; -1; -1; 186308345; 310601369; 988540086; 50814341; -1; 389809903; 544650365; 267320378; 738602943; 547093047; 616871541; 394956359; 890643349; 187886384; 255086191; -1; 517731274; 727791661; -1; 732560440; 881686992; -1; 788431918; 827291879; 462239253; 315780579; -1; 193681275; 326145709; 858343425; -1; 542834925; -1; 374541686; 821620711; 691842021; -1; -1; 402857137; 51066810; -1; 886539972; -1; -1; 121621189; 770748452; 604127283; 32375581; 270989330; 919432986; 83173848; -1; -1; -1; 884905439; 846033840; -1; -1; -1; 858971258; 89637199; 445247917; 180593315; -1; -1; 630147843; 751485536; -1; 707732829; 987056142; 90020462; 235122887; 215686637; 627244768; 803746545; -1; -1; 993235833; 565976953; 148295284; -1; -1; -1; 947328128; 147671878; 939850769; 824532188; 287597363; 866415789; 706099146; 522131637; 362385589; 365460642; 12376860; -1; -1; 643349638; 336065612; 212665365; 194199937; 713471444; 906129469; -1; -1; -1; 483074696; -1; -1; -1; -1; -1; -1; -1; 490740040; -1; -1; 641246427; 468193776; -1; 281389450; 356844285; -1; 440219690; -1; -1; -1; -1; 588600913; 143428015; 461803555; -1; -1; 444656558; 847881136; -1; 229211921; 176194996; 404534712; 709783781; 645460312; -1; -1; 450933600; 808291224; 628673573; -1; -1; -1; 129375066; 734976804; 3965501; -1; 449007728; -1; -1; -1; -1; 247112439; 63035503; -1; 193727724; 147478259; 573791933; -1; 382428927; 582225875; -1; -1; -1; 182649276; 269453233; 959106366; 871155771; 141539616; 777230683; -1; 763754562; 247158145; 840036272; 765204264; 184039521; 488227027; 242735046; -1; -1; -1; 285157793; 97449194; 367202548; 25523727; 964685862; 410263062; 488891020; 986280569; 449340238; 95654328; 804244805; 723083469; -1; 201184180; 82543920; 595815520; 699689736; -1; -1; 693819108; -1; 732015412; 67242707; -1; 632089130; 623452634; -1; 438416395; 997391603; -1; 253319552; 561817959; -1; 784343066; -1; 461275124; -1; 744810095; 870859371; -1; -1; 522604355; -1; 797174858; 601058909; 971897104; 186514530; -1; 748991310; 730546000; -1; 280709506; 353709263; -1; -1; -1; 135642010; -1; 464466308; 811895772; -1; 280387174; 902691058; 82213281; -1; -1; -1; -1; 642923975; 937381810; 28510053; 571296910; 687887750; 975720905; 131789166; 32552569; -1; 314136042; 395850733; 862090200; 989342901; 404392016; 475721707; 644416200; -1; 853850570; -1; 443402806; 902585985; 928303016; 232028540; 898961029; 434036788; 51168427; -1; 734001831; 127921873; -1; -1; 875158671; 712783642; 13829380; -1; 891268649; 554868400; 787054814; -1; 825704957; 833596948; 8509857; 910438890; 532029569; 175105807; -1; -1; 659063291; 192839041; 801687086; -1; 643599713; 960431300; 703949569; -1; 323911666; -1; 263868850; 488252194; 797779853; 929122522; 576361464; -1; 522119981; 832034405; -1; -1; -1; 394032134; -1; 120010189; -1; 27953598; 755746228; 248301973; 378254704; 719670919; 153504371; -1; -1; -1; 907257693; 5147600; 478515443; -1; 637714879; -1; 293611969; -1; -1; 725843632; 862432331; 139199859; 153464140; 309120947; 724957026; 73321996; 43116793; 823690342; 306364189; 806820328; -1; 537031371; -1; 908457597; 717568254; -1; 70310884; 274169722; 359619904; -1; 609351154; 455562862; 683861506; 507915022; 754677576; 809368002; -1; 300948841; -1; 816010207; -1; 505643279; 84792482; -1; -1; 226906132; 126706112; 932303965; 699070816; 841548378; 713664327; -1; -1; -1; 867620008; 950205717; 182551002; 73003963; 611886789; 475668368; 352615576; 541603443; 622304604; 754289918; 668016808; -1; 776073465; 170517779; -1; 363966154; 246793888; 638096198; 981567494; 931360907; -1; -1; -1; -1; 674523888; 312397108; -1; 205814732; 89262033; 852375129; 579506335; 507206310; 987469712; 620146891; 87626224; 482693402; -1; 87279622; 246693584; 258304565; 676972645; 594905824; 622363992; 24226608; -1; 778175767; 970402849; 449965003; 39381836; 215328714; -1; 965809329; -1; 725064517; -1; -1; 646707625; -1; 436521416; 766848111; 125339065; 912689790; 530938647; 984066797; 868128791; -1; -1; -1; -1; 533767123; 394061914; 852010653; 615183357; 282448581; -1; 30080761; 772896938; 278274226; 353696196; 516290460; 906842172; 209845722; -1; 307648064; 112353928; 221952650; 45890610; 473566502; 756233286; -1; 784730078; 750835118; -1; -1; 390552538; -1; 471954423; 998736389; 311063020; 324742557; 845862708; 723375125; 157284185; -1; 180533482; 480559224; -1; 641149873; -1; 202017248; -1; 11916883; -1; 13384732; 166186152; -1; 174581675; -1; -1; -1; 260598372; 560271076; -1; -1; 957567155; 46405379; 707106773; 445679143; 390116133; -1; 956722050; -1; -1; 377270371; 988173502; 892150854; 507479960; 667413199; 415795627; -1; 374857776; 933622057; 287849412; 35201718; 218362635; 987821204; 117031130; 462494076; 839319082; -1; 501137089; 330292259; -1; 37787314; -1; 716763424; -1; 450976471; 989726680; 511360485; -1; -1; -1; 717199402; 450493647; -1; 905762036; 89884435; -1; -1; 464437063; -1; -1; 349503986; 111094077; 31469796; 561132040; 605828738; 190817476; -1; 49026563; 46667146; -1; 809190393; 345766355; 468953619; -1; 354485508; 293677057; 542401988; 955120369; 828541677; 785582272; 659847480; 270935168; 65788699; -1; -1; 560232878; -1; 562577693; -1; 331598404; 345618333; 629016401; 640239123; 935855968; -1; 582946892; 30989780; -1; 803967233; 914406420; 880146040; -1; 32949389; 712152468; -1; 228323086; -1; 981649516; 741995418; 34186512; -1; 119705912; 694498678; 480227719; 45771273; -1; 864971912; 258803115; 174415867; 580149079; -1; 844123177; 134404114; -1; 593886500; 990296143; 297574705; 488957922; -1; 875137875; 400876266; -1; 674880806; 870183587; 112907483; 609865937; 326233732; -1; -1; -1; -1; -1; 677763505; 503373802; -1; 131482673; 706643129; -1; 479708068; 125420809; 576332172; 821457580; 841125487; -1; 114144225; 664495231; -1; 729311710; 730072074; 415376847; 765745414; -1; -1; -1; -1; -1; 379601654; 180087065; 250539668; 656964533; -1; 212609954; 346000286; -1; 506274169; -1; 759408697; 439669394; 419839699; 678220734; 700095906; 69950485; -1; -1; -1; 118978591; 541855803; -1; -1; 598746916; 725099686; 494094041; 89516056; 345198640; -1; 359387811; 191361422; 39269158; -1; -1; 175851914; 779872669; -1; 161790418; -1; 163972041; 392470179; -1; -1; 129203742; 991541208; 990544482; 230778877; 546954608; -1; 692733330; 870213046; 103409574; -1; 324586256; 482000674; 925681948; 309733934; 762834436; -1; 812647157; 688085839; 460780112; 451940673; 229413932; 923097620; 563500679; -1; 441948714; 679371673; 157379985; 673695398; 856587068; -1; -1; -1; -1; 655676756; -1; 406681252; -1; 382844547; 818606051; 372976367; 101036242; 7647236; 597451484; 140087186; 565457452; 617613031; 502580478; -1; -1; 5905486; -1; -1; 284874254; -1; 420829361; 950263295; -1; 294644622; 636696096; -1; 956443913; 425787382; -1; 912308014; 863265524; 168844693; -1; 303191985; 368115692; 802434506; -1; 945320501; 171489579; 399494279; 373320253; 685027556; -1; 50981057; 567307070; 951564199; -1; 571939595; 895000606; 416088689; -1; 543052998; -1; 950172376; -1; 16408170; -1; -1; -1; -1; 561744727; 200463959; 747703694; 485192463; 259790631; -1; 647482559; 255312992; 896917085; 484915322; 368792258; 709512623; 276262029; 799122134; -1; -1; 702852697; 765833739; -1; 415916550; 969705978; -1; 917160865; 333327742; 527795548; 844212490; -1; 575019819; 709883162; 857932747; -1; 781324517; 746195737; 24556102; 50822510; 754684505; 846114305; 260704859; 978025573; 932121580; -1; 52916069; -1; -1; 713588836; 16444700; 562546045; 789221715; 585804903; -1; 928761670; 889138174; -1; 736665754; -1; -1; -1; -1; 137288217; -1; 847631481; -1; 837012925; 42159428; 297743461; 113677981; 306304790; -1; 361773209; -1; 501272453; 465738559; 589797764; -1; 627435975; 461873151; -1; 656874755; 509401822; 564362647; -1; 406780090; -1; 179990009; 289295920; -1; 84385982; 323496743; 656684696; 464544767; 672047618; -1; -1; 544260125; 358725264; 304345301; 533581206; 161955034; 985199387; 698099569; 63926711; 220787403; 742499474; 506807877; -1; -1; 917330274; -1; 863270461; 729483742; 301881761; 420907075; 137004022; -1; 618425575; 957682367; -1; -1; -1; 734669265; -1; 125970074; 696653893; 135273989; 270748659; 377940912; -1; -1; -1; -1; -1; 160960088; -1; -1; 918667188; 954287150; -1; -1; -1; 468486631; 603929518; -1; 444040010; 379432256; -1; 241063444; 853944137; -1; 401178224; 915775413; 627324490; -1; 227821775; -1; -1; 240605064; 508933290; 685134309; 156084853; 490697826; -1; -1; 899554983; 674923675; 936205498; 38138451; 643955457; 198511384; 634072708; 720715481; 603580183; -1; 635367037; 739896160; -1; 810723045; -1; 430134368; -1; -1; 61881879; -1; 960800420; -1; 643595903; 964077233; 354911522; 604048642; -1; 22058797; 510688231; 796817111; 227666571; -1; 434153315; 135981224; 553938028; 388952524; 823788012; -1; 875586847; 185250518; 227756920; -1; 166512483; 961699788; 686995438; 442887248; 792513223; 989015947; 445088115; 183871784; 822695970; 167191407; 646704960; 196376730; 610966313; 881048728; 195746834; 205884061; 770521231; 311451010; 736183930; 895769412; 922840229; 551973253; 703408708; 445331497; 450420355; 845088100; 981204694; 477714264; 76702049; -1; -1; -1; 122612217; 174525638; 517894762; 621698730; 93194667; 526142261; 725138743; 441917150; -1; 933354867; 452376213; 257380269; -1; 734809581; 987733852; 633891535; 110018672; -1; -1; -1; 321769130; 899102693; -1; 567223890; -1; -1; 354183743; 893145208; -1; 789167193; -1; -1; -1; -1; 759185232; -1; -1; -1; -1; 499496199; 715093574; -1; 39235451; -1; 537029421; 372181832; 877467815; 664671086; 763327181; 606909836; 417390882; -1; -1; -1; -1; 663991403; -1; 476168609; 496235984; 194957682; -1; 321906914; 511779357; 972242488; 535726505; 253919403; -1; 573648592; 995016809; -1; 464169129; 939562285; 268632728; 454276597; 11176622; 88689261; 488692670; -1; 510111715; -1; -1; 500247265; -1; -1; 956087196; 84768622; 361791667; 120583779; -1; 538006555; 444342863; 386700757; 511903734; 990775411; -1; -1; -1; -1; 641835688; 905003466; 689036625; -1; 321292918; -1; 557924697; 1096066; 971157024; 849764428; 255319396; -1; 527184954; 376261413; 560858317; 818360690; 398147222; 853773662; 878803085; -1; 928683816; 586015245; 200918717; -1; -1; 525434027; 362142775; 471175863; -1; 712180496; -1; -1; 830620415; 847182942; -1; -1; 331576017; -1; 662025489; -1; 419074940; -1; -1; 359650468; 961027155; 8348307; -1; -1; -1; 849072598; 620850503; -1; -1; -1; 376196117; 14921941; -1; 662753303; 834553641; 463382058; -1; 374970264; 177275454; 179164517; -1; 738920838; 828597699; 268328159; 899921209; 344299306; 125312815; 682479236; 908830133; 485869614; -1; 804031305; 785878747; 292915136; 892661664; -1; 738329256; 102527088; -1; -1; -1; 620995940; 882584701; 985691662; 10379612; -1; 239610434; 720565784; -1; 183353109; 274319882; -1; 691606810; 74791707; 164009746; 134583775; 621198917; 367506970; -1; -1; 895957387; 932904934; 720925799; 349977088; 848021279; -1; 361595704; 326839598; 283995721; -1; -1; 773851451; 981514969; 894994317; -1; 226019888; 37952050; -1; 227111483; 215797295; 280084807; 108737544; -1; -1; -1; 242018265; 939422997; 653526477; 511103465; -1; 456434164; -1; 423461255; 102448096; 91637730; 146931862; -1; 869074048; -1; -1; 381202206; 809947836; 204409241; 459627250; 93819637; 304006461; 294821078; 282998671; 419585732; 987965467; 136068074; 958326987; 236432289; 233903136; 23155658; -1; 9398078; 567281290; 406753544; -1; 772813828; 595601819; 505062089; -1; 303408363; 881682437; 225952127; -1; 16414771; 470701489; 732218555; 483729813; 381972381; 897713847; 76668752; -1; 149527826; -1; 314095053; -1; -1; 738011351; 539322901; 787788579; -1; 335106467; 221984497; 219943166; -1; -1; -1; -1; 856479509; -1; 506270576; 717250442; 568266699; 586371045; 38258324; 863450530; 464352709; 226979101; 444774784; 281054964; 198601085; 919076793; 809439840; 188783904; 565229105; 582562111; 972501513; 329330827; 816408873; 927981474; 138285734; 517703082; 448293373; 120141753; 313413529; 707228843; 112338458; 888989363; -1; -1; 189280954; 732730891; 8644523; 284795007; -1; 933076515; 496752351; 121283420; 471659501; -1; 491275394; -1; 832820454; 944562179; 565049629; -1; 856409611; 598499547; 849291985; -1; -1; -1; 446541568; 920314043; -1; -1; -1; 957575412; 255062755; 208853860; -1; -1; 97351997; 305911103; 343160565; 410803511; -1; 165569847; -1; 904286965; 981045649; 746397355; 240947001; -1; 410756958; 732081968; 409295853; 43557521; -1; 115220136; 538634248; 596424274; 828064347; -1; 588123882; 188408108; -1; 990367786; -1; 726964713; 632005612; 142036983; 232484786; 829013997; 376761428; 796759366; 533468531; 186696124; 134004155; 418660649; -1; 568737410; 181447419; -1; -1; -1; -1; 13778578; 71266170; 939409314; 242808251; 712360725; 933958585; 329232510; 267140854; 685153270; -1; -1; -1; 522260087; 625085549; 307908957; 279496807; 566687087; 931097480; 620753774; 716072846; 656326275; -1; 350181641; 58711205; 419887706; 9245400; 912225028; -1; -1; 410473815; 629541453; 14795471; 426196212; -1; 890547481; -1; -1; -1; 252186009; 273816064; 292876761; -1; 332553064; 553915188; 554749752; -1; 540620330; 600875793; 117673233; 827888355; -1; 280285289; 603980048; 538085863; 162230928; -1; 776182315; 890899666; 895144266; 807978312; -1; -1; -1; 688025593; -1; 915624358; 704614054; -1; 713565209; 795939146; 597600223; -1; 186210926; -1; 487951817; 368542181; -1; -1; -1; -1; 743987668; 274433484; 123521730; 876674839; 952508674; -1; 8712387; 591078259; 26408654; 341062866; 763197906; 469518581; -1; 778479683; 282393514; 562861014; -1; 36233233; 180959684; 309792061; -1; 813809443; 545268002; 993766270; -1; -1; -1; -1; 699307600; -1; -1; 496568109; 52836873; 790078097; 900716720; 866304979; 627931335; 660148940; -1; 370501496; 532426169; -1; -1; 881702879; -1; 80014414; 38711532; -1; 359195031; -1; 242355952; 208162453; 758299313; -1; 965345507; 38942968; 840254133; 922434170; 809486618; 806178537; 340632564; -1; 687708396; 155379423; 808289997; 623581643; -1; -1; -1; 652242298; 761827538; -1; -1; -1; 562537405; 207526392; 226376390; -1; 886440395; -1; -1; 155912533; -1; 420429191; 370955821; 710816190; -1; 776788470; -1; 538261743; 338683054; 860455263; -1; 97943493; 253460821; 115938997; 350144240; 103381376; 866411753; 747140454; -1; 357242867; -1; 351489086; 416187384; 979552382; 839344078; -1; 515854799; 700693643; 433466261; 538541446; 352402190; 786660552; -1; 925247599; 212918598; 905132909; 241573840; -1; 686200697; 854412696; 255884694; -1; -1; 631859764; 86740686; -1; -1; 947638095; 601161062; 499744612; 401629224; 809174549; 33259133; -1; -1; 468755187; 517702463; 313583422; 137911375; 840719527; 281819859; 178525120; 506952081; -1; -1; -1; 107331453; 723647284; 352528276; 301826251; 144070576; 290654681; 366638552; 158635200; 454284423; 63465478; 778177543; 409715555; 25744853; 447510700; -1; -1; -1; 544317622; 60168102; 618874620; 41417589; 614127934; 556214465; 7638180; 601807535; -1; 169427703; 230880421; -1; 511060877; 597360434; -1; 361151346; 692344894; 987708311; 344721764; 665421027; 854973592; 129127411; 983818633; 997776283; 180983892; 234333039; 166716240; 319645969; 192900532; -1; 164210297; -1; -1; 573547201; 954234768; -1; -1; -1; 351495465; 874367231; 951810769; 799471458; -1; 944912742; -1; 787636041; -1; -1; 599758590; 914098513; -1; -1; 522150541; 137305186; 324232602; 61049782; 71495717; -1; 872481329; -1; 375233387; 105782611; 194377606; 738080035; 836883528; 929788255; -1; 654590671; -1; 129348584; -1; 630034425; 936271227; 901131566; 729905893; 714377704; -1; -1; -1; 977680591; 453879998; 837418948; -1; -1; 318190710; -1; 745496244; -1; 7333831; 16956298; 811376306; 535626793; 719669372; -1; 459348934; 988392008; 205040157; 190084977; 140909303; 864326860; 361877523; -1; 865220456; 48967352; 33755617; -1; 160339634; 425525743; 837577775; 155503174; -1; -1; 112015259; -1; 337556634; -1; 938313630; -1; 7744534; 509568179; -1; 405094155; 571345201; 782923681; 409509083; 719788291; 377856146; 788641010; 708498944; 155290101; 440251308; 453342196; 90298887; 225131724; 578787487; 164670181; 120133943; 938093334; 876728946; 963395760; 892452139; 384790435; -1; -1; 985848849; 221339089; -1; -1; 109693375; -1; 265693841; 2738609; 168180883; -1; 527825043; 55039211; 668460176; -1; 997474459; -1; 435113822; 264948160; -1; -1; -1; -1; -1; 427694675; 961437961; 212489227; -1; -1; -1; 129678456; 894627432; 361375833; 306264822; -1; -1; 175000004; 604546649; -1; 457400062; 273478721; -1; -1; 817398442; -1; 678818043; -1; 647517268; 280287186; 676923076; -1; -1; 585324011; -1; 338672657; -1; 917163273; 274971713; -1; 480985969; 257809100; 679098898; 199073701; 753946647; 995833919; 294411992; 411663038; 732271310; -1; 22067306; -1; 93812048; 992632034; 866941979; -1; 668130952; 959220998; -1; 726365449; -1; 385521540; 165789450; 188834772; 432565540; 952167462; 360177391; 814221344; 165044016; 649521101; 301525838; 86498516; -1; 950868673; 81092690; 61982406; 863173551; 677475600; -1; 976708117; -1; 733285536; -1; 252630408; -1; -1; 543839006; -1; -1; -1; -1; 68803435; 746075244; 74972097; -1; 625740010; 43883173; 369856086; -1; 631285205; -1; 777623497; 946647652; -1; -1; 511367111; 413455400; 597996832; 909162434; 750317612; 21064770; -1; 773959094; 949062998; 477147438; 422674907; -1; 306833061; 337073804; 600528673; -1; 683901969; 132528719; -1; -1; 882832030; 809314522; 698829535; 260021674; -1; -1; 850254897; 229106500; -1; 794321149; 83039474; 633308820; 336388105; 955571730; 860562812; -1; 628042846; 223267038; -1; 367744003; 702418346; 565505413; 478614613; 85286026; 54574348; 939722026; -1; 211720594; -1; 404602759; 785503183; -1; 645573645; -1; -1; 526705337; -1; 794068616; 476342193; -1; 750197098; -1; 757697479; 437557847; 669347806; 756057868; 690179070; 143926154; -1; 861155517; 860035887; 500372494; -1; 299447564; 327523455; 726130222; -1; 637332779; 690114874; -1; -1; 670163140; 550681437; -1; -1; 976095619; -1; 775488610; 33926160; 687534319; 314177722; 154589506; 505357311; -1; 446485130; -1; 908917431; -1; 664609834; 250376071; 546699103; 728360875; 737970087; 64460678; 353588861; -1; -1; 855543417; 897780632; 794755380; 950990508; 413651843; 187056331; -1; 774930125; 647116624; -1; 826169030; 211173799; 641972988; -1; 397568994; 694825057; -1; 257358836; 968492778; 263876784; 915975000; 377049497; -1; 528609999; -1; 217991059; -1; 211372487; -1; -1; 620085253; 840733536; 576308673; -1; 896289173; -1; -1; 948908226; -1; 321339074; 144557996; -1; -1; -1; 447145253; 392999778; 47650345; 18383874; 645561246; 800592649; 549775990; 541728180; 760349137; 418722260; 682299189; -1; -1; -1; 908670260; 218360660; 747959592; -1; 931745650; 709997001; 380975651; 202708269; 720772373; -1; 962704362; 623944128; 318576670; 274379015; 542295452; 330542839; 516517638; 596100682; -1; 352451879; 115537911; 446318227; -1; 296596811; -1; 809736293; -1; 161882149; -1; 837961526; -1; 18796933; 506992732; 439101212; 970190010; 737912211; 7087185; -1; 513166547; 850157274; 688034221; 772830132; 885157251; 230802549; -1; 690690063; 285640704; 278419364; 566687642; 317386903; 475300998; -1; 119785529; 195281261; 871378234; 157835743; 211337464; 989408126; 656408296; 287489046; -1; 710538044; 911666992; 795175857; 615067291; -1; 547793413; 923158836; 802270374; 554825164; 554588294; 645303828; 708685313; 454227102; 39497130; -1; 180209963; 484099855; -1; -1; 180791948; -1; 41879377; -1; 39182919; 829502140; 59505817; 18030815; 91349142; 423489363; -1; 757064689; -1; -1; -1; 216057072; 950578790; 327158207; 417945682; 916745994; 463938453; 783977242; -1; 740245115; -1; 851665479; -1; 581351276; 384155331; 630772902; 237012582; 298433604; 367585459; -1; 317204923; -1; -1; 863898229; 463367119; -1; 682359640; 930844236; 843901060; 468688750; -1; 11634516; 90939232; 325325849; 83432790; -1; 318508742; 878549518; 880667187; 625285018; -1; 624366912; 354772089; -1; -1; 301600242; 426516362; 168225754; 836557391; 284813241; -1; 690368406; 473964700; -1; 454972649; 2317971; 690616569; 68979626; -1; 266898355; 220937137; -1; -1; 232232831; 898356310; 537648942; 494505843; 253269927; 673433750; -1; -1; 312567074; 494781486; 909863951; 636178340; 643471277; -1; 803069134; 612406764; 804996761; 214746778; 819415018; 822882376; 747387724; 805545663; 70238975; 378125475; 156300531; -1; -1; -1; -1; 960951904; 682926493; 287907740; 758552218; 508445063; 711320626; -1; 158910399; 516692088; -1; 450065256; 522018449; 138900689; 934243587; 765741110; 457738819; -1; 355793916; 85364422; 463046337; -1; -1; 664994731; 427248088; -1; 689471851; 729255501; 191385883; -1; 919070368; -1; 261993127; 235497118; 215389297; 164531658; 18315653; 486613399; 767315721; 807440259; 620598247; 610533412; -1; 356995225; -1; -1; 385420187; 94603037; 226689744; 532542645; -1; 611539651; -1; -1; 120743117; 853850331; 756753866; -1; 359800046; -1; 617415111; 749780594; 632772722; -1; 290177958; -1; -1; 193036337; 829284714; -1; -1; 299534509; 434908609; 389965960; 873476998; 184971069; 702590320; 567791504; 436921129; 953631288; -1; 386115315; 976022696; 703545350; 738447122; 777741898; 388333002; 732234281; 548706643; 88190954; -1; 426031841; -1; 262245454; -1; -1; -1; 192993028; 720104209; -1; -1; 591328387; -1; 422356787; 877873062; -1; -1; 331505463; 680036930; -1; 455686226; -1; 609916393; 718815813; 422206364; 103372345; -1; 369182820; 562835348; -1; 982933532; 867403094; 680163901; 932003275; 614278708; 933899981; 832208158; -1; -1; 721315096; 7631016; 148096294; 624648215; 49232771; 909234774; -1; 938738002; 802455025; -1; -1; 24610765; 129749564; 572141183; 381685133; 231654825; 151141353; 481827282; 605238206; 31005703; 810030292; 558675643; 412491623; 83346449; 929214815; 132747748; 340575009; 851799849; 873898519; -1; 975068174; 115588090; -1; -1; 499455856; -1; 753616695; -1; -1; 509647662; 822276709; 657378921; 104038427; -1; -1; -1; -1; 383680690; 600690144; 126454317; -1; 745824649; 702587081; 796960773; 804182401; 652989350; 681732285; 344598990; 375275483; 735099734; 987394877; -1; 540062427; -1; -1; 93166829; 330610571; 271018725; 397106971; 2360450; 872733862; 821438705; 575608233; 559927316; 595414680; 604292135; -1; 165444833; -1; -1; -1; 545705054; 683276534; -1; -1; 116009492; 836851589; 88004261; 375529956; 919705131; -1; 745155629; 314182847; -1; 153014851; -1; 385436677; -1; 296406673; -1; 963307845; 235393897; -1; 963313405; -1; 326640084; -1; -1; -1; 903041091; 679860418; 42365191; 368249014; 962873705; 205512735; 775644341; 91947109; 197524108; 126087317; 230542307; -1; -1; 404376750; -1; 724346498; -1; 719624347; 857425377; 146342994; -1; -1; 485783537; 480048841; -1; 481112796; -1; 679109838; 933439457; -1; -1; 328857026; 885793613; 990111031; 961634321; -1; 365880718; 164693722; 986968363; 85388172; 368507697; -1; -1; -1; 556558348; -1; -1; 567900592; 570552674; -1; 699902264; -1; -1; 940987833; 865268835; 71017487; 664967672; 753146889; 574006789; -1; 97801022; 757721233; 521698478; 160691951; 994049680; 980239605; 890124837; 121273457; 465417290; 628181219; 14891187; 697639963; -1; -1; 833531679; 274629548; -1; -1; -1; 600428456; 352205103; 258681344; 330201684; 574567963; -1; 517917917; 622886779; 842078241; 663416245; 802704052; 683842356; 278474445; 368877185; -1; 921247385; 943804545; 530030702; 253916256; 33218272; 743514946; 815294973; 51001971; -1; 612901626; 779083589; -1; -1; 124848205; 931789402; -1; 755700186; 923326417; 637147552; 447817879; 423576049; 117460991; 111869928; 894117413; -1; -1; 660097428; 663067476; 735917511; 375823634; -1; -1; -1; 107104612; 567047590; 502201402; 627208159; -1; -1; 764294924; 835902416; -1; -1; -1; 702884480; 80541221; 154527004; -1; 469458493; -1; -1; 541933226; 922778970; -1; 839172726; 204868977; 642971170; 930396716; -1; 740312203; 152730474; -1; -1; 320826990; 666224715; 372692802; 642410580; -1; -1; 499433588; 596149611; 922581488; 228947536; 377082869; -1; 777170979; -1; -1; 978221639; 67970910; 934816639; -1; 98624086; -1; 17712764; 79179149; -1; 384236230; -1; 689226735; 488693019; 408934998; -1; -1; 671997348; 383015236; 541429693; 449947209; 925545490; -1; 398977625; -1; -1; 175056439; -1; 851908178; 552765613; 367655105; 273546450; 291304955; 822387922; -1; -1; 683748146; 633361760; 722261424; 437003572; 685285743; 792012905; 123891106; -1; 603053642; 98921810; -1; -1; 593441763; 113882648; 746977807; -1; -1; 399400469; 756085948; 257079160; 332483458; -1; 752635146; 613424633; -1; 997587244; 724450393; -1; -1; 516021317; -1; -1; -1; 389716616; -1; 137094134; 826923535; 36226779; 401433908; -1; 266068591; 278614337; -1; 112973959; 213613320; 230142281; 107726243; -1; 509691698; -1; -1; 579371708; 216239691; 609501373; 383426731; 87728190; 516599688; 679250016; 236733503; -1; 617107772; -1; 516629025; 652227804; 85139378; 796884416; 610370920; 698281771; -1; -1; 25649604; -1; -1; -1; 23573183; -1; -1; 649421616; 12172169; 850759623; 678545565; 456660315; 225368664; 959587249; 57301259; 453722354; 469924249; 88080157; -1; 908422330; -1; 764616280; -1; 229081945; 519525544; 255676580; -1; -1; -1; 989625396; -1; 722262418; 798457790; -1; 868767496; 247319685; -1; 423998177; -1; 170545201; -1; 987461660; -1; -1; 702389112; 818416187; 292982915; 850751256; 456538814; 75680209; 14456064; 525225984; 767863142; 182256881; -1; 631951066; 995007589; 526272317; -1; 139846272; 215289721; -1; 436941082; 351814425; 403837387; -1; 4611842; 335486640; 815741538; 96563587; 244222329; -1; 338542529; -1; 655308617; -1; -1; -1; 158811673; 175184158; 436926705; 891798480; 644264489; 507819048; -1; 585243724; 681492249; 340139522; 707936842; 843405302; 563163843; 530172664; -1; -1; 318004795; -1; 932690291; -1; -1; 349347251; 496310380; 73392839; 63339094; -1; 182262014; -1; 984758767; 36281637; 118015312; -1; 909518631; 724848619; 322332710; -1; 71782835; 444771587; 580766193; 769592313; 937133117; 20455110; 645475435; -1; -1; 211264403; 80302969; 882620592; 63194736; 174684823; 271352545; 760015702; -1; 449213136; -1; 571190029; 856818408; -1; 593684625; 785261833; 580497566; 804321980; 695040492; 14307967; -1; 260576148; 714796779; 304227357; -1; 889069304; 337020940; -1; 729093619; -1; -1; -1; 511188815; 131217038; 755435468; -1; 122488851; -1; 397939188; -1; 243431580; 221234136; 859738828; 425188745; 216403574; -1; 687036298; -1; -1; 677525126; 676721411; 500603114; 244325932; -1; 633910917; 622035114; 82346628; -1; 458565329; 236471286; -1; 452981134; 334525291; 169793486; 754640003; 611849810; 310326129; 394435149; 939697149; 9209796; 784149180; 898127078; -1; 388170825; 336592126; -1; 333001192; -1; 832986195; -1; 438366364; 376702261; 311331694; 578270932; -1; 70600912; 862372124; 539140750; -1; 691524719; -1; -1; 356945839; 728563828; 247862355; -1; 671149526; -1; 311286541; 457175094; 32942865; -1; 67433680; 778740179; 659301702; 419490014; 932858174; 519622800; 846691523; -1; 216523202; -1; 585568582; 87857123; 631589510; 281068764; 803612832; 315661379; 49773439; 847860142; -1; 73124690; -1; 790558867; 631725811; 687677264; 556556564; 173332008; -1; -1; 199987796; 417085859; 850635590; 648669202; 656408821; 692864649; -1; 247276540; 257746487; 644716262; 830141713; -1; -1; -1; 623368673; -1; 354553940; 160513125; -1; 637007137; -1; 156649956; 496887874; 639642912; -1; -1; 782488335; 486539590; 863581867; 370381386; 327626224; 844242948; 821689264; -1; -1; -1; 947640876; -1; 362807267; -1; -1; -1; -1; 479280832; 277531158; -1; -1; 440864812; 342249545; 784635840; -1; 265518834; 641326216; -1; 619322411; 980823716; 371114397; -1; -1; -1; 954640454; 208238962; 944707260; 727199141; 177008518; 995751436; 834129243; 617908847; 829119235; 755088332; 538267896; 535669958; 467258313; 248739667; 491436122; -1; 154976960; -1; 640718283; -1; 689416857; 75350706; -1; 756763250; 997801361; 319551137; 3321611; 765300662; -1; -1; 181790213; 740432094; 734779875; 899954123; 476323289; 488023002; -1; 810969644; 403048693; 23280640; 2123247; -1; -1; 602948022; -1; 304519497; 410748221; 397174935; 620694852; 419809418; 15516302; 182202967; -1; -1; -1; 538591200; 509301000; 53606679; 412251426; 650730688; 533109931; 4557364; 521465583; 772368511; 994069845; -1; 448701861; 698674551; 388561474; -1; 409681645; 185924938; -1; -1; 589997262; -1; -1; 47708111; 545492897; -1; 877102537; 188313597; 230383922; -1; 975866270; 267193452; 643715244; -1; 663379545; 849213322; 677077376; 471848621; -1; -1; -1; 815386746; 633864734; -1; 789075448; 170106069; 894432766; 994710319; -1; -1; -1; -1; 279158480; -1; 265761422; -1; -1; 389171101; 230665149; 774359204; 172377741; -1; 197247780; 865265468; -1; 924117512; -1; 918038098; -1; 503321425; 734795291; 334973129; 92862853; 493763851; 619780291; 542648480; -1; 744882992; -1; 126517063; 443079986; -1; -1; 862167020; -1; -1; 841872689; 571511042; 31386343; 633079126; 97897057; -1; 473248794; 672106410; 859300486; 261517471; -1; -1; 877022677; 949758943; 55342262; 540984436; -1; -1; 872853550; 61680332; 826680254; -1; 90744804; -1; 842721554; -1; -1; 142687657; -1; 367446378; 744457518; 518051995; -1; 459875590; 436768005; 759520090; 26151045; -1; -1; 59566617; 446470769; 768415730; -1; 149697519; 746669386; 54401041; -1; 294840403; 247448210; -1; -1; 417674456; 25117021; 725956475; -1; -1; 322539694; 95091791; 216034318; 171018490; 80669238; 754017004; 941277055; 955799866; 167485946; 12457294; 868549173; -1; -1; -1; 294978349; -1; 858390017; -1; -1; -1; 367367169; 239906356; 520134782; -1; -1; 549600986; 197784261; -1; -1; -1; 808336190; -1; 930875847; 151264819; 225570574; 812502260; -1; -1; 18407657; 82029284; -1; -1; 606966895; 805247443; 250594806; -1; -1; -1; 892155845; -1; 728346152; -1; 581291048; 454943591; 468608111; 318092332; 977472883; 589031968; 442880948; 750197449; 528383355; -1; -1; -1; 314922303; -1; 833778307; 463423434; 15050087; 315528615; 862319791; 298537643; 988930883; 75841831; -1; 53362440; -1; 586353949; 345729942; -1; 884167318; 259713901; 140364123; -1; 917147273; 458918052; 248725607; -1; 814342725; 135446359; -1; 253356860; 618325108; 818133171; 655226184; -1; 962592249; -1; 601012146; 976775783; 263887998; 558185610; 450847078; -1; 537328935; 403861226; 330590626; 100079484; 314745926; -1; 152569195; 998053522; 951223921; 146177647; 77270062; 457668687; -1; 134766328; 564447631; -1; -1; 744638070; 736805853; -1; 618543335; 709110928; 154662562; 918362404; 636293173; 727300224; -1; 796158371; 729428342; -1; 931316997; 936081641; 914027856; 191909426; 993944531; 361012139; 451769326; 300163888; 97355528; -1; 134942487; -1; -1; 515324860; 47552150; 924677187; 214268954; 533680397; 281963101; -1; 46151821; 236702801; 890875958; 888037387; 947437250; 861743024; 68455748; -1; 605067233; 453933442; 462813259; 249314300; 913687486; 421424911; 635350557; 470055000; 851871256; 601759398; 623845542; 404285353; 122332224; 761263743; 996875454; -1; -1; 222480919; -1; 22946923; 881803577; 828878566; 663268953; 979086128; 554978023; 302146855; 261094996; 365384104; -1; 946835673; 825693305; -1; 805592917; 301419010; -1; 753335491; 873767945; 165378633; 952053912; 816042797; -1; 110751180; 460210831; 271597911; 983514445; 17141610; 395048052; 355443975; -1; 25308464; 248289353; 290020539; -1; 999565963; -1; 376892599; 291867807; 64756057; 214590784; 954192264; -1; 152034807; 97853940; -1; -1; 570687057; 416546744; 527572400; -1; 344667942; 282318634; -1; -1; 874145223; 49617081; 61594874; 109542174; 51494536; 872277721; 291123617; -1; -1; 908946944; -1; -1; -1; 392114614; 317718618; 773260812; 893413282; 647091526; 99104495; 316867587; 827223195; 994606212; -1; -1; 994410540; 57773336; 12763158; 834154972; -1; 748698058; 942785744; -1; 504655030; -1; -1; -1; 10964309; -1; 719534583; 40478971; -1; 481818957; -1; 951135298; 162675496; 727706665; -1; -1; -1; 453782939; 731747508; -1; 912481386; 538719684; 27934507; -1; 796946880; 737464921; -1; 773171919; 7407913; 570584055; 799351998; 106785605; 846682595; 60900065; 907073445; -1; 811595953; -1; -1; 587492015; 284816917; 439844513; 933108842; 577638867; 721297595; -1; 336444028; 455308092; 841279570; 710943609; 656905722; -1; 490690459; 430613636; -1; -1; 779829612; 270966345; 100020071; -1; 336929717; 596983196; 375386599; 522292984; -1; 444086111; 377864667; 235524776; -1; -1; 168328048; 984610459; 398667373; -1; 107492030; 485292629; 256817219; 773570702; -1; 700812865; 879394718; -1; 676467743; 882632545; 986168989; 731844987; 779501690; 890917803; 499065956; 861726449; -1; 910580433; 34308501; 520918541; -1; 173272545; 188493120; 561274351; 238350515; 216668918; -1; -1; 121742705; 55815951; 576695350; 511343662; 276801457; 83688849; 353396963; -1; 580759614; 345307959; 276127987; -1; 131360964; 240374728; -1; 242083848; 872317546; -1; -1; 346366498; 677851358; 885607441; 943334200; -1; -1; 4709635; 159780120; -1; 173482343; 10770236; 183246987; 345952509; 715339399; 330793761; 493068967; 892780438; 238875547; -1; -1; 22390759; 429821210; 523191128; 82902061; 373430303; 696933528; 525401908; -1; 546504104; 836620658; 55945968; -1; 908498053; -1; 463865980; 866844831; 261116426; 723214157; -1; 989878348; -1; 521007255; 638252533; 728609084; 343806703; 64617408; -1; -1; 585433275; 79433109; -1; 804492541; -1; 110720502; 531557255; -1; 292127542; 479866396; -1; 645239147; 108485683; 989742706; 549318114; 726947866; 345993689; 502051456; 130057562; 10661639; 829741632; 133518033; -1; 683453688; -1; -1; 970055437; 8086686; 207034423; 851706216; -1; 680752266; 305045842; -1; -1; -1; -1; 482818401; 385781463; -1; 535290333; -1; 482024668; 137347886; 568360995; -1; 956352778; 233064974; 404573948; 489022650; 835395686; 59773263; -1; 484635044; 306026046; 165430867; 671429013; 281730886; 444380675; -1; 968227637; 739975779; 172632925; 51777478; 970267355; -1; 426563970; -1; 429069824; 304978541; -1; -1; 311325523; 558927848; 323926723; -1; 930055869; 630499346; -1; 600095710; -1; 833923921; 383874847; -1; 900599797; 237959911; -1; -1; -1; 44801076; 237342686; 1350188; -1; 490595777; 619520682; 929447443; 442831874; -1; 728872538; -1; 412607908; 152076032; -1; 190667263; -1; -1; 739218676; 241598527; -1; 580700805; 692394792; 921695376; 437007672; 513835438; 65918010; 779905584; -1; 25603377; -1; 913092646; 787997272; 797201536; 65159138; 48399924; 385185388; 76428922; 587954399; 578606377; 566880797; 408292412; -1; 414926263; -1; 903375188; -1; 159160831; 615499718; 360066172; 775612384; 41870886; 290704712; 177012793; -1; 188656553; 195440318; -1; 237295743; 776247923; 303945329; 695597381; -1; 120521674; -1; 531079489; 608072419; -1; 276033173; 894322113; -1; 735530249; 498090838; 553325077; 846401860; 360466008; 373527491; -1; -1; -1; 281710434; -1; -1; -1; -1; 837836292; -1; 24322233; -1; 192099605; 571721246; -1; 500144586; 891027501; -1; 134395100; 164795552; 93950685; 561432941; -1; 280591968; -1; 685559181; 809980302; 105588259; -1; 788456966; 428754517; 14996032; 754676813; 787343872; 125096580; 31009677; 72469001; 34813022; 739961935; -1; 440046726; 33755911; -1; -1; 469814581; -1; 563050342; 879401630; 469227963; 681676985; 987801692; 658906901; -1; -1; 5235331; -1; -1; 996610262; 200247476; 416399015; 133681682; -1; 908870731; 916445047; 12712240; 34747994; 264391082; 358118030; 227020413; 574858693; 886237569; 806204144; 209202052; -1; -1; 333291503; 795229419; 168748860; 906178377; -1; -1; 866327286; 784478992; 270171886; 211927952; 57760478; -1; -1; 74852002; 75843723; 990796815; -1; -1; 619961128; 842597493; 868173922; 823464159; 900773547; 287684193; -1; 466532479; -1; 397303322; 662595440; 236173222; 369303530; 849738425; -1; 104517266; -1; -1; 919712993; -1; 720746007; 957761207; 436765090; -1; 161333027; 98489965; 591817499; 892453436; 68796369; 491603518; 453746006; 180319838; 532122374; 262738717; 765368084; 633384828; -1; -1; 637873053; 499459555; 535822388; 628411405; -1; 890973312; 567371096; -1; 592398302; 493270609; 66727043; 929392244; 272642138; -1; 971524266; 386297419; 608154789; 79707656; 194139854; 951807737; 114019009; -1; 89207355; 472321428; 493844263; -1; -1; 540258585; 548621679; 392133737; -1; -1; 454310317; 347848155; 627434947; 305353476; 472104587; -1; 54960121; 778360240; 445050214; -1; -1; 55149281; 779622464; 384014071; -1; 873236811; 119496169; 603999505; 183529843; 917250668; 232818996; -1; -1; 833187916; -1; 852390125; 217737017; 511375612; 286580802; 728472159; 436199132; -1; 493081652; 40012216; -1; 563011677; -1; 641936327; -1; 116228674; -1; -1; 98020172; -1; 580697479; 920684796; 424627527; -1; 743122785; 247855409; 467293552; 476009066; 717827301; -1; 146427345; 88570521; 241975948; 924872219; 440904127; -1; -1; 629678917; 334793606; -1; 604203633; 527638013; 66818814; 486295315; 236265819; 153958881; 441425476; -1; -1; 298322122; -1; 636419618; 703576893; -1; 577105480; 391925995; -1; 370351348; -1; 200393419; 514403385; 238543446; 262262679; 427708271; 191176407; -1; 869168399; 202131597; 756914271; -1; -1; 690590986; -1; 711927433; -1; 507958267; -1; 811591466; 744603502; -1; 36485222; 391626860; -1; 745870923; 445815478; 431609735; 870713544; -1; -1; -1; 788476853; 887754973; 129332546; 780628836; 745989909; 489339238; -1; 606045884; -1; -1; 778980239; 781275648; 865157419; -1; -1; -1; -1; 587535483; -1; 207563132; 550822524; -1; 143049905; -1; -1; 549967947; 243286365; -1; 831042796; 370039116; -1; -1; 611559059; 362379433; 154849029; 445916066; 720321422; 822230849; 300012632; 146997396; -1; 710611634; 524665313; 219060810; 670712597; 446167387; -1; 849007408; 414747601; -1; 306683161; 554951691; 150012265; -1; -1; 793592464; 204511275; 739424666; 365900259; 459846496; -1; 856858298; 741206154; 104071288; 922478127; -1; 194345033; 314942324; 367273208; 67188936; -1; -1; -1; 385153740; 68166714; 638118492; 500446367; 239719820; 693137134; -1; -1; 247306227; 328738109; 679201685; 383869947; 29452596; 784407167; -1; 611956287; 87452930; 500375435; 305666199; 985164580; 706913336; 434628864; 741349419; 987358187; 964083483; 608637097; 925436197; 114045125; -1; 272500225; 363796325; 795768303; -1; -1; 768823390; 170629410; 364328497; 336047026; -1; 62565866; -1; -1; -1; 339697736; 17317500; 48884160; 196497485; 145630534; -1; 767601234; 756008615; 212419063; 92811389; 152885985; 376617516; 890575156; -1; -1; 609525317; 52560071; 228062657; -1; 772975850; 629934198; 555389267; 187372084; -1; -1; 702055649; 267564416; -1; 163233622; -1; -1; -1; 116578336; 127554182; -1; 550509270; 534940211; 644155288; 877259843; 459496563; 451219243; 652978237; 483476981; 974508446; 275611273; 762283288; 42528791; 768692438; -1; 783190216; 665503866; -1; 280174510; 128364134; 65244677; 143580549; 994334380; -1; -1; -1; -1; 293005813; 148411318; 563741811; 565544475; 191172092; 492470155; 965560289; 937309929; 294967589; 659209260; 383712692; 155173700; -1; 873193417; 688673413; 468818591; -1; -1; 41218657; -1; 101916503; 709881511; 980351356; 840858804; 393775162; 656572002; 27924567; 93278492; 282919086; 652976318; 512210919; 350742650; 754208232; 743764913; 749741804; 587447148; 736942834; 914162360; -1; -1; 925980838; -1; 823529826; 748693321; 585667324; -1; -1; 439136195; 478664095; 747835139; 966206388; 953622401; -1; 892129344; 242272991; -1; 399511807; 894026287; 473893862; 448479303; -1; 474741829; 872022335; 166169600; 444499003; -1; -1; 686960303; 693599782; -1; 385531194; 966730062; -1; 460958745; -1; 446982973; 860091995; 190985290; 570142436; 546668609; 708739025; 866417783; 827821131; 830508031; -1; 521438292; 638419852; 479011547; 301480053; 375573519; 184994067; 931167599; 758391447; -1; 698916446; 506291093; -1; 195045977; 577058533; 590525707; -1; 94630658; 398906062; -1; 558311681; 430521199; 663012322; 807660761; -1; 113844587; -1; 701755550; -1; 755928601; 627010784; 744145381; 413732568; 495795685; -1; 365878107; -1; -1; 86631895; 141775798; 162947928; -1; 792884665; 886035759; 825218756; -1; 73356971; 344202016; 815782824; 486764657; 376888412; 82165639; -1; 494778596; -1; 241331344; 248738563; 928207762; -1; 785283143; -1; -1; -1; -1; 707738243; -1; 803381220; 497293336; 431127722; 790983461; -1; 518366723; 392661875; 432985778; 998796955; 876612304; -1; -1; -1; -1; 237907407; 934379286; 917655008; -1; -1; 827152874; -1; -1; 774144121; 31212169; 776267430; 397303871; 738031421; 980072428; 42663661; -1; 798081393; 435750208; 78504722; -1; -1; 914541587; -1; -1; 681998292; 228162811; 905207599; 740788600; -1; -1; -1; 121730455; 162229669; 761292244; 917668007; 296782343; -1; 565181561; 37382785; 782561415; 130596174; -1; 777028748; 8785570; 720108195; -1; 432265848; 733183355; 894247601; -1; 211495045; 937034514; 163158836; 728013068; 332697411; 82447; 240834770; 268079277; 534687560; 408244723; 866564544; 8139356; 262293587; 139418881; -1; 512213758; -1; -1; -1; 225962474; 874216235; -1; 303442330; 155192644; 41468702; 814527770; 632725297; -1; 803509487; -1; 925290454; -1; 155742361; -1; -1; -1; 396704414; 247406025; -1; 230644228; 192320217; 115677433; 591066582; 746845073; 748800360; 36017300; -1; 785378009; 425275210; 225233942; -1; 352620495; 384112707; 369802636; 159961509; 401920880; -1; 457623007; 672120991; 228165794; 825268664; 760356405; 390297257; 728070939; 511183257; 127394292; -1; 130316919; -1; -1; 946597850; 65618913; 798078790; 69285198; 10970648; 303137437; 786494628; 319957539; 352049252; 508039109; 521780007; 618934746; -1; 457287408; -1; 489974759; -1; 603905543; 47959403; -1; 257314475; 452623731; -1; -1; 823034670; 589750323; -1; 511779811; 482040686; 269258712; 10575276; 246882169; 276983272; 667762088; -1; -1; 408308377; -1; -1; 717274666; 429101566; 901308288; 703502594; -1; -1; -1; -1; 958679698; 120720218; -1; 966752811; 809927210; 536286756; 38422702; -1; 362705886; 207241730; -1; 851506202; -1; 965110334; -1; 944401968; -1; 932452726; 276710776; 598874095; 334987721; -1; -1; -1; 637706392; 765065019; -1; 53153520; 377229185; 275634994; 234525115; 656203072; -1; 68585644; 942780968; -1; 514694963; 434887713; 812438988; 502628648; 586158564; -1; -1; 465808217; 809581364; 991691439; 700307708; 940777234; -1; 374831129; 916052624; -1; 132000105; 807697917; 378554782; 199428318; 423263039; 632329134; 646876804; -1; -1; 445471267; 885767253; 245081460; 460131471; 735849950; 920280068; 845526217; 841276386; 40466814; -1; -1; 194985726; -1; -1; -1; 834706626; 275511319; 613103715; 926822683; 747169488; 174614916; 298222886; 115275372; 289067587; -1; 150308347; 940100263; 31569784; 566656317; -1; 706219759; 760125171; 735556105; 67749933; 409214671; 159127094; 431466543; -1; 943973752; 801299923; 849953061; -1; 520028869; 512482471; 41481673; 813955490; 933644291; 363443462; 342391891; 480071434; 379403471; -1; 638313773; -1; 67047557; 493595707; 356979498; -1; -1; -1; 335087613; -1; -1; 312184081; -1; 39455067; 870993914; 538605807; 84216299; 382227176; 134889750; -1; 332204001; 42220433; -1; -1; 704256216; -1; 989455869; 797940065; 196728344; 6945564; 304023142; 252856617; -1; 271115712; 216251305; 854233123; -1; -1; 627056244; 789940329; -1; 825259613; 167083771; 96152510; 551537678; 209120532; 639616364; -1; -1; -1; 276719849; 762847784; 824485143; 177280096; 228229841; 861047536; 457474341; 198467943; 785112480; -1; -1; 529658818; -1; -1; 388612654; 713089794; 646978643; -1; -1; -1; 771560940; 444202755; -1; -1; 592869008; 842308406; 76408191; 173550653; -1; 437069612; -1; -1; 337107281; 90341189; 616609700; 159436405; 79795046; 766681283; -1; 38380725; -1; 253922628; 178636022; 380296531; 585253753; 613565664; -1; 488585291; 403094607; 745716247; 431492324; 708173264; 796298761; 510093918; 333514053; 724256010; 127376607; 644751686; 887789138; -1; -1; -1; 937789424; -1; -1; -1; 653021222; -1; 663834707; 575414336; 680939771; 583327103; -1; 22972268; 99390153; 728281234; -1; -1; -1; 757660447; 832521939; 224109195; 624313085; 569661506; 756252828; 721943697; -1; 80274144; -1; 3776995; 50148443; 636070055; -1; 754031842; -1; 406299026; 415327059; 219267400; 619506455; 903859876; 534354403; 288519820; 877522701; -1; 139492287; 202782703; 870165120; 564350716; 794329718; 300307744; 170460282; 613550521; -1; -1; -1; 849946416; -1; -1; 590974270; 399268523; 807635184; 831952009; 995169826; 834070911; -1; 456483842; 185054201; 200488153; 641751675; 895668878; 378519940; 432209226; -1; 215226809; 738931766; 235189928; -1; 610350592; 126385806; 681052963; 691490252; 579626699; 734152779; 843173366; 434935838; 796627125; 300259182; 386147546; -1; -1; 144996818; 279006585; -1; 939341795; 206856595; 792398498; -1; 244394154; 524236973; 848940031; 433269087; 865020865; 864279505; 369433793; -1; 100413412; -1; -1; 339040289; 849340903; 907757636; -1; 538733478; 343267242; 121616523; 660945633; -1; 462710990; 823883368; 270993721; 117282739; -1; -1; 701651167; -1; 926210195; 165362454; 765656849; 493753421; 423604551; 36504985; 514278043; -1; -1; 869942142; -1; 244981825; -1; -1; -1; 48228342; -1; 29699153; 762797750; 306369347; -1; -1; 405931655; 83124993; 191788060; 682859958; 207597867; 857945277; 855430656; 218184718; -1; 306698558; -1; 699965779; 927173007; 432264533; 373504534; -1; 167760645; 213639141; 761695559; -1; 608462829; 135911176; 193766573; 625796384; -1; 602484564; 190709394; 661472191; 240060240; -1; -1; -1; -1; 947015008; 369859701; -1; 534064841; -1; 97341751; -1; 860100643; 144644282; 557882747; 939599863; 540886329; 60111316; 696380871; 757030594; -1; 261410203; -1; 998795261; 408932031; -1; 545217103; -1; 283606676; 6815740; 143970772; 226367507; -1; -1; -1; -1; -1; -1; 334648564; 93126893; 865340533; 735405168; 888795545; 101988245; 412081571; -1; 570162490; 997656292; 630988098; 783472810; 214658568; 371889591; 60697790; -1; 235088070; 297130165; 503681245; 572446153; -1; 873153274; -1; 998242384; -1; -1; -1; 54068490; 649517174; 320947753; -1; -1; 116269863; 145612566; 475431766; 997078755; 691080490; 350880409; 236367267; -1; 144520701; 295911206; 736787952; -1; 669379580; 652822949; 692254288; 280637546; 647576478; 221534078; -1; -1; 998982143; -1; 271034622; 563804075; 921056242; 555502215; -1; 845337790; -1; 867810413; 831666291; -1; 601557902; 662165092; 46704287; -1; 116543586; 970872748; 517622583; -1; -1; 782656541; 866692625; 261052475; 69732933; -1; 569728901; 160950799; 458043733; 647852179; -1; 89475258; 736245808; -1; 227430525; 378406127; 49548298; 638444882; -1; 921367164; 548550238; -1; -1; 58590671; 66602958; 770097683; 393287794; 679919399; -1; -1; 379821661; 688726186; 484673867; 85677975; -1; -1; 800588506; 508290118; 889359028; -1; -1; 193210148; 638258145; -1; -1; -1; -1; 985617948; -1; 695879868; -1; 869023314; 320912674; 94383639; 56566418; 418628728; -1; 963982788; 791710352; 925089746; 579038837; 7220686; 456947044; 735962800; 760435377; 21640688; 131301211; 220775763; 660025932; -1; -1; 197609079; -1; -1; 745123201; -1; 324677214; 826411172; 633111808; 349994436; 66665460; 115527942; 458480181; 742037568; 14717909; 9709826; 584226831; -1; 202940689; -1; 817438042; 647712465; -1; 833025250; -1; -1; 188711580; 571562288; -1; -1; 412767139; 709850763; 380896721; -1; 611131725; 384968827; -1; 643969147; 132734681; 763081930; 177070730; 989893363; 477988544; 711195338; -1; 550519133; 168280065; -1; -1; -1; 974701887; -1; 708465570; 846416521; -1; 312966616; -1; -1; 765148495; -1; -1; -1; -1; -1; 56309545; -1; 221658390; -1; -1; 891477724; 311035390; -1; 41872625; 551706421; 762757884; -1; 818365160; 145619742; 928610486; 279298344; 488447918; -1; -1; -1; 688773795; 437390820; -1; 358738196; 366313907; -1; -1; 472716101; 799665859; 615430339; 948871883; -1; -1; -1; 501674461; -1; -1; 92896681; -1; -1; 481722798; 483087166; 941449410; -1; 199560522; 685304146; 169201739; 505774186; 733405119; -1; 17174157; -1; 216729694; -1; -1; 240534254; -1; 849767467; -1; -1; 671139920; -1; 44618422; 160749082; 287087351; 469975346; 542089074; -1; -1; 744442101; -1; 712142611; -1; 491337600; 229189248; -1; 564771998; 919770568; 100501730; -1; 444278216; 490756432; 905321787; 531860649; -1; -1; -1; 119376345; -1; -1; 708555744; -1; -1; 124916554; 588340040; 981898609; 170892092; 385145148; -1; -1; 671510894; 972865848; 296303278; 824905238; 416852218; -1; 353376693; 810171326; 717836980; -1; -1; -1; -1; -1; 540441927; -1; 980044108; -1; 934274104; 748217788; -1; -1; 803638217; -1; -1; -1; -1; -1; 473899852; 600387776; 116823314; 306022404; 447788306; 138335106; -1; 267106366; 789172613; 376737098; -1; 163225554; 49988814; 93476972; 484556591; 705183550; 408558886; 935714633; -1; -1; 559612261; 827543033; 733953001; 156304584; 373910335; 422270341; 979791620; 579221408; -1; 699345523; 327315999; 685470750; 702105904; -1; 246289999; -1; 110356668; 714822113; 223513832; -1; -1; 279328266; 749320707; 375025252; 601050769; 257190434; 493430364; 261158126; 582355221; 574520383; -1; 616765484; 871516983; 543691410; 421490769; 33156207; 599197498; -1; 730409020; 429258783; 84076024; 404136958; 956317388; 160243222; -1; 302384310; 236053378; 494939356; 115960419; 182135078; 273754599; -1; 714515745; 203117314; 988791938; 180661128; 68817818; 839612421; 753166633; -1; 342628254; -1; -1; 808741131; -1; 127560706; -1; -1; 69043285; -1; 814004207; 4600833; 936601231; -1; -1; -1; -1; 877409309; -1; 881293774; -1; 472436501; 930162925; 563712938; 825920370; 151713117; -1; 3768183; -1; 677176061; 965066418; -1; -1; 913025906; 55059246; 291622212; -1; -1; 362823583; 86756885; -1; 80541953; -1; 823750137; -1; 826344793; -1; 971996185; 845044863; 741774482; 864956370; 666217321; -1; 845470226; 807831421; 742042328; -1; 405318025; 798255004; 464815528; 572744520; 726076994; -1; 2203921; 653389486; 751253918; -1; -1; 836777418; 241777034; 588009077; 93456824; -1; -1; 738176975; -1; 404228564; 81704687; -1; 238077069; 454723932; 242663277; 856190999; -1; 466795459; 36997174; 795821171; 899688283; 11546266; 850557541; 315577809; 70969731; 759985042; 800580763; 307017764; 573912350; 755528897; 555760264; 996268985; 436805697; 213532108; 395181152; 649525838; 309430306; 734831408; 514948046; 13933074; 774444537; 956951069; -1; 23981680; -1; 573479650; 822837059; -1; 936992509; 647190882; 97051627; 865619685; 636183747; 473074341; 756038973; 678371051; 518992058; 601195636; -1; -1; 796960242; -1; 580238245; 211274927; 833371384; 155655453; 476578331; -1; 73194066; 753073760; 518429102; 669335094; -1; 484528106; 426691845; 146377316; 133944524; -1; 845106290; 363755358; 252420621; 59815321; 782115074; 754284510; 588078530; 729677883; 210694107; 681091602; 88059513; 328704106; 101666027; 541896509; 743967649; -1; -1; 932914200; -1; -1; 487002082; 672209985; 240509622; 214516536; 329106748; 872749613; 534266002; 786933802; 302641095; 137537358; 455643553; 629453718; 322213649; 335617890; 992719751; -1; 821689535; -1; 460500360; 103308804; 777555591; 147533283; -1; 847229912; 91268790; 168516063; -1; -1; 924021786; 94220262; 173243774; 837728099; 392386583; -1; 309425047; -1; 589960261; 971046170; -1; 317240853; -1; -1; 451136045; 164297880; 645131680; -1; 688546688; 182280214; 57962915; 293103429; 818145564; 552396553; -1; 299404019; 317606585; -1; 853657566; -1; 37973471; 518621243; -1; -1; 937901513; 356132883; 754650350; 747061789; 513384414; -1; 381451157; 725993666; 520326341; 146588513; 12739603; 498576216; 436793765; 731093045; 201677531; 524314425; 941557313; 223665906; 822742336; 799630229; 576179751; -1; -1; 976815017; 920530630; -1; 141920336; 815562973; 243399023; 439622406; 403950113; 709099879; -1; -1; -1; -1; 617724714; -1; 806363612; -1; 608684068; -1; 282617448; 412124108; -1; 466772064; 923674018; 109239731; -1; 773994690; 343975544; 267620859; 654935946; 557959339; 898448332; 778299985; -1; 714973970; 621455803; -1; 891978762; 24244800; -1; 677696023; 917455067; 76432141; -1; -1; 551747731; -1; -1; 988932998; 78400394; -1; -1; -1; 987503683; 588860292; 220007021; 442376238; -1; -1; 201039072; 598520134; 222651820; -1; 894802320; 968750063; 363912386; 368546439; -1; 951079046; 95940508; 739345519; 768432361; 661957089; 683809779; 118941906; 59646321; 309865440; 659023493; 171700102; 812033347; 14537954; 32931626; -1; 593854480; -1; 466754490; 885236331; -1; 442408879; 934728426; -1; -1; 195216323; 76335315; 12554361; 841735801; -1; 486092923; 657932140; -1; -1; -1; -1; 112710049; 395976297; -1; -1; 939372254; 355489326; 17999204; 902593483; 447213079; 723756659; 841357057; 383518107; 51069779; 864301877; 19296799; 387650065; -1; -1; 232199950; 696137887; 387159099; 557886455; 558175365; 453341421; -1; 613256718; 48916209; -1; 542950726; 322251571; -1; -1; 494595693; 790708445; 251113653; 600149292; 675771249; -1; 451051777; 576597102; 241946525; 137286027; 744163871; 25097366; 944103552; 756853837; 441958741; 495606599; -1; 820942990; -1; -1; 611373271; 104723693; -1; -1; -1; 280572759; 996953236; -1; 16790701; 637609161; 426372439; 599544336; -1; 568717411; 477579483; 713816688; 97764111; 559976667; 868676735; 446091973; 269528044; 95602577; 195714326; 80760500; 258879599; -1; 401047965; -1; -1; 591069874; 643174303; 484296474; 532796462; 578693958; -1; -1; 607540560; -1; 967590767; 928550206; -1; 442963629; -1; -1; -1; 432828404; 117403742; -1; -1; -1; 526644319; -1; 276050768; -1; 177342285; 584958628; -1; 225610127; -1; 280675384; -1; 526326342; 368609974; 20571532; 237529427; 516441417; 232990198; 472394474; -1; 736241949; -1; -1; 420705835; 576422245; 906370519; 830971975; 794533295; 916714987; -1; 11789418; 478986519; 761598002; 556247750; 463451300; 550194171; 76433929; 400802884; 127075995; -1; 620822954; 74404707; -1; -1; 649042947; 380725177; -1; 185329365; 141865088; 366274670; 448597552; 217062032; 852051312; 191713522; 745902793; 611339196; 977204220; -1; -1; 818664235; 313708431; 819321076; 202656402; -1; -1; 707589966; -1; 102345053; -1; -1; 743035174; -1; 833832976; 947581473; 585633773; -1; 861874396; 969562686; 493778318; -1; 835418692; -1; 20489963; 693915184; 465979007; -1; 486332522; 479091690; -1; 28601319; 446854120; 619066509; -1; -1; 328783820; 65884710; -1; 910973530; 8985090; 462273784; -1; 235104691; 623534378; 509049486; 243698256; 592579091; -1; 162903809; -1; -1; 737650052; -1; 507390177; 228285538; -1; 40949679; -1; 743343490; 357658484; 742023256; 925922665; 531536789; 46701116; 759687064; 695453435; 75486521; 472603436; 289318036; -1; 323116614; 946035704; 775417087; -1; -1; 482983189; 747988784; 760593307; 554636167; 209298646; 244893829; -1; 765651376; -1; 448702164; 853304795; 193591080; -1; 522533187; -1; -1; 825658196; 942134017; 946473536; -1; 116781071; 25699618; 995618588; 329753919; 830246345; 187263993; 528107439; 347059155; 362486460; -1; 346476754; 932727565; 631081170; 635085292; 901433093; 767004887; 436401927; 935374666; 918427231; -1; 994821106; 769848550; -1; -1; 873610335; -1; 182495642; 624071830; -1; 491978190; 90146978; 574454000; 929863009; 138233896; 872170673; 663688933; 913656291; 77556305; 957131620; 726473110; -1; 575216734; 285522896; 719830892; 887768399; 958325352; 447791958; 95634426; 757273657; 555190381; -1; 480483961; -1; 89019224; 43945650; 28548208; 255635483; 49551986; 421727616; 604984486; 109429085; 70198389; 69241975; 497639078; 688721084; 754814740; 575490694; -1; 325676881; 995367164; -1; -1; 878128291; 612603542; 276720154; -1; 928847212; 555133316; -1; 748157828; 662706994; 865972216; 116607796; 810322997; 870647575; 137919118; 246124908; 561500203; 410389517; 154213076; -1; 911056100; 876187362; 991245585; 251600409; -1; -1; 309064164; 343219471; 215428387; -1; 6967192; 111123288; 770185150; -1; -1; 640121741; 206497895; 865622971; -1; -1; 333701006; -1; 513710392; -1; 149393164; 75662124; 6088179; 373728546; -1; -1; -1; -1; 990247160; 864396402; 923055579; 344210193; 556881499; 619098728; 729226112; -1; -1; 779775141; -1; 964966923; -1; 233593128; -1; 184658617; -1; 553827012; -1; 345862351; -1; 86452491; 675012810; 899192419; -1; 111352730; 468057359; 497924771; 675983537; 298507150; 713270250; 892555689; 143615715; 282044606; 108477267; -1; 136633120; 768884213; 816426343; 119225883; 809935502; 383593327; -1; 241016567; -1; 203952041; 78323929; 647683748; -1; 590858854; -1; -1; -1; 76826346; 875966210; 887107080; 639820029; -1; 852940380; 822225281; 66399855; -1; 987177063; 45051619; 630312185; -1; 946003788; -1; 439898094; 88787139; 375277416; 810108881; 676463494; 43906293; 708423085; 275598114; -1; 565534191; -1; 668702940; 16625508; -1; 99177122; 912024990; -1; -1; 228921448; 525564855; -1; 725662071; 116108440; 139850220; 392140659; 398809427; -1; 77587949; 404519240; -1; 479672630; 861107761; 49604331; -1; -1; 81648046; 655273680; 521690521; 849889736; 282673640; 101983545; 556692219; -1; -1; 144795227; 6902498; -1; 421731543; 170341723; 387797642; 892315876; 390698419; 841031035; 140731821; -1; -1; 969155056; -1; -1; -1; -1; 313499010; 65091140; 352828075; 678281919; 558442615; -1; -1; -1; 360962580; -1; 468786446; -1; -1; 196270080; 542168650; 282632328; -1; 161428746; 817126446; 418631583; 693353193; 988089819; -1; 359347970; -1; 181036969; -1; 409080378; 704545833; 875123765; 276945940; -1; 326239946; 890816583; 829987796; 322190296; 150244518; -1; 91565598; 716776342; -1; 2882583; -1; -1; -1; -1; 504444277; 861138930; 425969182; 509016441; 300794658; -1; 831408061; 614238457; 694792506; 135647384; 80492488; 98962718; -1; 941600615; 839908430; 703990219; 777285005; -1; 885705339; 280244664; 46569505; 58866638; 785597806; 599867191; 589767695; 141550193; 364084167; -1; 488592875; 841328724; 640999075; 802998097; 815483666; 171718158; -1; 404026306; 316487512; -1; -1; 430525073; 732558777; 625844737; 732077318; 757728751; -1; 343210008; 222050848; -1; -1; 822021960; 573359830; 341280587; -1; 911075124; 665640918; 392864997; 971250432; 167813507; -1; -1; 43067466; -1; 944433087; -1; 940798142; 368406809; 568222184; -1; 705613456; -1; -1; 424968503; 698559311; 842657188; 746556863; 429157718; 416093742; 803710764; 57576120; 879955541; -1; 860658326; 926192918; 367415807; 523953708; 722832976; 142671423; 627826959; 32283995; 942284607; 32490276; 749395729; 511090537; -1; 197878989; 823255008; 413459745; -1; -1; 351535027; -1; -1; 909377329; -1; -1; -1; 419259478; 449836463; 131550205; 614690196; 855623283; 175059886; -1; 719393414; -1; -1; 748092393; -1; 808226335; -1; 724351129; -1; 660929795; 522605417; 683480663; 165834072; 808271059; 676552877; 199313038; 991816472; -1; 776217466; 569236190; 205023096; 798832621; 579187146; 646465159; 176958313; 677572694; 475953554; 673135076; 968598925; 780333287; 423723364; 261486891; -1; 385012529; 858117933; 468136258; 158201101; -1; 942482778; 79718956; -1; 520729396; 448059479; 724491298; -1; 73960255; 867548337; 274264005; 386328277; 416758030; 169591985; -1; 997016466; -1; 719048240; 95274138; 496353031; -1; 371226684; 284989962; 848046446; -1; -1; 701491271; 951685690; 180516614; 785959041; 610153171; 960457643; -1; 287506238; 287157877; -1; 557718289; 671206193; 746896759; 127009402; 314680869; -1; 246950313; 120803131; 365055328; -1; 76883162; 390725797; -1; 157259488; 698148445; 875417247; 424588688; 239944579; -1; -1; 708020169; -1; 243832704; -1; 341030907; 589696691; 699319767; -1; -1; -1; 825263648; 118713722; 704250023; 306640597; 234164359; -1; 462481964; 214337877; 639171814; 824691828; 583835024; 622796502; 548668077; 400447172; 403311047; 940625190; -1; -1; -1; 136307919; -1; 151774686; 719917170; -1; 301685540; 853767249; 932264865; -1; 557325550; -1; 14726915; 896668024; -1; 46729121; 849935810; 61835270; -1; 538933733; 416571426; -1; 206058750; 52384218; 868310728; 864650059; 983394588; 328534250; 572845248; 150067093; 28198494; 684738695; 187432652; 852801674; -1; 497016702; 913481621; 214162215; -1; -1; 924573664; 94988594; -1; 119252846; 376394301; -1; -1; 204456898; 395583045; -1; -1; 524823355; -1; 83353355; 692993265; -1; 329184757; 482362193; 260062143; 212754296; -1; -1; 297715316; 492987689; 345066118; 464804435; -1; -1; 895041284; -1; -1; -1; 338731572; -1; -1; -1; 78896876; 531138823; 756070779; 619836795; -1; 24884933; 378413256; 996784218; -1; 214185569; 455633356; -1; -1; -1; 144547857; 47229076; -1; 638230814; -1; -1; -1; 466396402; -1; -1; 429324992; -1; -1; 706144513; -1; 371197276; -1; 485703782; -1; 487277927; 192685791; -1; -1; -1; 37606051; 7647074; 405481517; 271399297; 538164713; 436295735; 393563899; -1; 775367742; -1; 88456608; 158913591; 909013492; 28203991; -1; 711364064; 284073562; 941201164; -1; 441705914; -1; 704882955; 485518210; 475281013; 968295506; 185395857; 203576887; 278839136; 163554945; 450821324; 808555615; 222293490; 44559946; 181425940; -1; 144554100; 999433651; -1; 913480733; 147679744; 966716201; -1; 901586446; -1; -1; 53780499; 268944042; -1; 269169016; -1; 152117252; 472558181; 74854129; 390008862; 322522684; 578849450; 97378834; 186796995; 19556240; 863470654; 307378544; 361659168; -1; 117343765; 585761812; -1; 979329328; 364323903; 670618507; -1; -1; 213969532; 717226981; -1; 503669913; -1; 993344630; -1; 405343337; 196822940; 974075540; -1; -1; 720357730; 442384218; 114000753; 300909920; -1; 512413651; -1; -1; -1; -1; 106811916; -1; -1; 70009280; 70543555; -1; 566013734; 721931668; -1; 869951800; 678741000; 957949542; 195338198; 946211975; 985959515; -1; -1; 296191376; 273431931; -1; 102858506; -1; 10280196; -1; 581758578; 95278462; -1; 571007300; 986953304; 109362819; 988307755; 333748398; -1; -1; 154471162; 452605412; 889852721; -1; 169116732; 519343924; 59423063; 539668505; 956131456; 548245297; 428397352; 166008597; -1; 90083066; 246907835; 299895833; 159716116; 449030433; 737890718; -1; 517782490; 377921373; 639974571; 48639180; 934658476; 597610861; 277408701; 42600188; -1; 139778180; 850355824; -1; 711132790; 436848835; -1; 349057789; 909399903; -1; -1; 865897371; 256021748; 267277841; 183086542; 944868151; -1; -1; 675365276; -1; 659305743; 472423435; 614683377; -1; 49202041; 919942469; -1; -1; 395122232; -1; -1; 674796311; -1; 464993558; 131638153; -1; -1; 479309135; 724991678; -1; 712179604; 125189597; 955985403; 463396771; 476166574; -1; -1; 368276686; 621672479; 243815817; 410350847; -1; 963975867; -1; -1; 982182813; 899777803; -1; -1; 20317486; -1; 35458099; 267441564; 638371497; -1; 372007008; -1; 213766149; 178544884; 435672151; 953520841; 737537876; 694931180; 383305537; 13275828; -1; 140559960; -1; 982181439; 429467897; 717936906; 335507635; -1; 350947110; -1; 411112436; 587451321; 794242978; -1; -1; 158426797; -1; 265926699; 325740586; 825501008; -1; 530309204; 609410251; -1; 428117666; 206915352; -1; 256959361; 3111454; 595906313; 996081060; 614946847; -1; -1; 74230531; 582701903; -1; -1; 412525580; 515416544; 287010735; 183373501; 443023544; 807865024; 60854371; 181321331; 690614145; 27268908; 861771537; 607374276; 299661911; 990069117; -1; -1; 219185896; 459132843; 373810727; 87550171; 811592520; 920296778; 748567445; -1; 127463360; 416340823; 545347486; -1; -1; 716512470; 289124176; 34296567; 271837198; -1; -1; -1; 549140728; 196258140; 885208850; 144026506; 653992233; 541085906; 224645392; -1; 876481973; 70621799; 232259629; 146890687; 8620482; 240107040; -1; 439688379; 454122279; 22468772; -1; 972964073; 672115537; -1; -1; 388194593; -1; 169648688; 68515200; -1; -1; 899916279; 100425591; 78673535; 889869499; -1; 605612787; -1; 605737977; 639087588; 576747858; 857166750; 860777540; 586801779; 12679980; 893800054; -1; -1; 112678737; -1; 742101456; 798992653; -1; 719987325; 818933973; -1; -1; 689506680; 746630098; 671900751; 994757353; 758647241; 464550309; 300408312; 964723712; -1; 297299896; 258948760; 436168436; 818988333; -1; 487429170; -1; 885139678; 608977920; -1; 42775189; 999447343; -1; 350774982; 944868740; 538541669; 764414145; -1; 258703370; 767734564; 122761803; -1; -1; 845840855; 989713585; 513562234; 659825409; 135289244; -1; 220052834; 516431992; -1; -1; 820388019; 647537648; -1; -1; 438827997; 80438261; -1; -1; 228303740; 257392779; 525123161; 970637778; -1; 588345081; -1; 906570688; 84744281; 515456801; -1; 775102930; -1; -1; 192159162; 293141908; 136582197; 746116945; 9327347; -1; 4716562; 210828891; 475509111; -1; -1; 910846236; -1; 140264826; 693606342; 714755023; -1; 591204824; 940750233; -1; -1; -1; 285014528; 847565968; -1; 765575294; 919767584; 452755745; 244974596; 440835990; 387232569; -1; 921015449; 523710968; 18841607; 338924222; 369213793; -1; 969271133; -1; -1; -1; 510823121; 29903160; 50672171; -1; -1; 664852515; 103373426; -1; -1; 866216239; 306011624; 74011862; 165043953; -1; 636143842; 363143270; -1; 766770226; 724670969; -1; 465947084; -1; -1; 352384766; 561286876; 343000348; 78811062; -1; 143302285; -1; 583563885; 58748512; 444324948; 538511034; 522682389; -1; 163222093; 80169079; 574550048; 665316333; 374712730; 405133608; 952619824; 286607927; -1; 853428694; 976424416; -1; -1; -1; -1; 430056181; 27625930; 777172382; 682709068; 738191956; 618714541; 420101043; 971486273; 791976863; 914178057; 66260413; -1; 26294886; 303337495; -1; -1; 657110112; 795463290; 193751658; -1; 863622475; 988873728; -1; 680608320; 415705485; 498111575; 640148679; 101917309; -1; -1; -1; -1; 708386884; 671346469; 185965932; 288711825; 383838167; 850884585; 871528532; -1; 602196127; 545431637; 155650672; 323653315; 426314652; 412316897; -1; 602853820; 45053735; 616669500; 543684075; 777740330; 672118951; 585988998; -1; -1; 531763396; 519563018; 524335666; 326081222; 962528855; 58861895; -1; 650115967; -1; -1; 837104568; 905315377; 33354359; 209448003; 462868051; -1; -1; 153585566; -1; 622323217; 251540100; 301938563; 859244686; 185871874; 52821249; -1; 622769786; -1; 914332844; 581982067; 659212596; 341559655; 368713115; 836635749; 367237892; 237912233; 240477609; 93839185; 902152531; -1; -1; 378118858; 137054004; 806741458; 609677104; 748905826; 903059661; 179323279; -1; 375067027; 695157846; 529077195; -1; 940768753; -1; -1; -1; 194724435; 73058353; -1; 874838612; 277842638; -1; 592235592; 358594485; 840956613; 651298204; -1; 619337894; 72742814; 848158058; 823806353; 903018068; -1; 383252663; 591274372; 497461481; 443882893; 347166294; 970095746; -1; -1; 295678841; 607129972; -1; 743673428; 907526502; -1; 578173077; -1; -1; -1; 411904696; 94724833; 740158708; 346625873; 913206295; 935786182; 924831035; 412929433; 103932402; -1; 662304930; 942884815; 551179679; 701799672; 405386912; 985745204; -1; 918966346; -1; -1; 651427009; -1; 911695911; 645493663; -1; -1; 947864439; -1; -1; -1; -1; 722372252; 920095823; 319714279; 385641284; -1; 216888855; 42854472; 915211908; 456483651; 708515340; 121777510; -1; 230579150; 427803550; 436649601; 654690095; 224159609; 422244902; 777042946; 242843543; 674059813; -1; -1; 46400257; 45822111; 345819774; 189235082; 369313761; 429301583; -1; 877581433; 693548827; -1; -1; 501302212; 170856370; 30444514; -1; 408780551; -1; -1; -1; -1; 826462170; -1; 336833208; 263651634; -1; 759281760; -1; -1; -1; -1; 724090218; -1; -1; 600184066; 501768821; -1; 762386612; -1; 271510997; 145427147; -1; 475816036; 535163290; -1; 176516778; 39065085; 170383965; 456379460; 612756946; -1; 443779424; -1; 834484621; 775147847; 307354049; -1; 327029536; -1; 983549204; 601150287; 412750535; 613033840; 765374113; 127130006; 839887435; 681857448; -1; 210386191; 100362367; 196718424; 209724382; 640823941; 118076661; 339574720; -1; 266591167; -1; 151173502; -1; -1; 994070855; -1; 890949368; 786295358; 162905229; 159616677; 392523923; 459700746; -1; -1; 58878362; -1; -1; 478162048; -1; 415865294; 505045086; 519501775; 659977186; 298098273; 768590038; 627087896; 29247096; 368939602; 128086313; 568360220; 309436471; 728915346; 669543085; -1; -1; 244388958; -1; 488130373; -1; 929947718; -1; -1; -1; 143669852; 328257512; 808377130; 627609712; 563106279; -1; 459316859; 1213042; 639109815; -1; 53185360; 788167067; 312394062; 388796824; -1; -1; 504580189; 537536767; 567544365; 425896182; -1; 114053569; -1; 773901798; 139506974; 148523269; 674307214; 897362997; -1; -1; -1; 766194485; 407710391; 791324656; 952420681; 398550687; 177097733; -1; -1; -1; -1; -1; 661414606; 404192958; 392121098; 620111507; 437890545; 182251254; 158213879; 839719861; -1; -1; -1; 672946067; 298065716; 807536603; 774560856; -1; -1; 21317709; 234898439; -1; 246549471; -1; 286187143; 567419797; 683994845; 184645975; 527993734; 3455761; -1; 906750638; 456688835; 741821833; 460140841; -1; 497683020; 30389050; 231639644; 261054700; -1; -1; -1; 576502819; -1; 770441950; -1; 756062059; -1; 349746147; 994314739; 151159986; -1; 233797875; 628580425; 672334273; 653461748; 358757056; 658596099; 465510256; -1; 434440308; 330249616; 285607626; 87171350; -1; -1; 785765490; 333481955; 672593715; -1; 251840993; 257597004; -1; -1; -1; -1; -1; -1; -1; -1; -1; -1; 856324611; 472272002; 77306788; 158831788; 167094144; -1; -1; 772233018; 600574002; 659288370; 855981030; 620033319; 711145097; -1; 368323264; -1; 949827254; 101495343; -1; -1; 586241830; -1; 104204753; -1; -1; 291796205; -1; 562094137; 655024686; 10476985; -1; 447868103; 973469776; 550025495; -1; 21144668; -1; 58276111; 980680460; 262861677; -1; 710594377; 223081756; 84831942; 796506619; 602498343; 382641347; -1; 177736559; 550218934; 370247318; 132786394; 217563708; 132841957; -1; 685116950; 197959509; 510407991; 900639302; 806432663; 251248737; 168610427; -1; -1; -1; 877226839; -1; -1; 363470290; 767631024; 910832776; 679446408; 445608085; 346985324; -1; 598308238; 116795377; 597627534; -1; 129872977; 2197853; 662610826; 111064723; 228192054; 304593353; 538689999; -1; 369021189; -1; -1; 746687246; 66217826; 878238511; -1; -1; 18102383; 77794584; 710481910; 666458922; 187669741; 657311587; -1; 818148610; -1; 685012513; 258937129; 133609809; 853618034; 950863299; 336848674; 31559754; -1; 364663747; 309828525; 328746200; 812683419; 21966409; 41081317; 40069069; -1; 140368090; 135728591; 465889482; 38838976; -1; 785619225; 619306214; 630461872; -1; 993840879; -1; -1; -1; 829582776; -1; 249127806; 546489322; -1; 303362804; -1; 87352822; -1; 177841807; 372585324; 831793050; 743652918; 931515985; -1; 963669091; 442373316; 135126958; 824188483; 534625511; 332300680; 176118055; 949412708; 244003400; -1; 684146549; 591629207; 788572123; 792930498; 373714540; 850086887; 867506391; -1; -1; 162276500; 221408871; -1; 709662485; -1; -1; 647153602; 914449524; 210972497; -1; 938703828; 577303795; 127675344; -1; 534941618; 606628173; 834281896; 512853074; 138892840; 193532222; 181533143; 136791453; 206338718; 944920978; 946788491; 403223441; -1; 895763895; 527771274; -1; 526994467; 679004037; 764262369; 539191944; -1; 129426700; 776627164; 215195940; 68099695; -1; 499149175; 414767432; 638933741; -1; 909135811; 80496893; -1; 354426733; 476427729; 649155047; 967260243; 656560019; 660606550; -1; -1; 406863904; -1; -1; 364672479; -1; 921597405; 563940702; 975963539; -1; 828474617; 429130799; 115218056; 368865276; -1; 720577894; -1; 417182749; 563815992; 479732238; 148828990; -1; 865608095; 775927854; 892259786; 358203639; 879953487; -1; -1; 950347989; 271431206; -1; 849335971; 512447393; 392694911; -1; -1; 186443407; 607739698; 87620928; 461571634; 96759930; -1; 969314990; 881475184; -1; 996016868; 738673747; -1; -1; 438589912; 641942424; -1; 160721331; 7309751; 703368574; 353265612; 471323785; -1; 713665832; -1; -1; -1; 524422300; -1; 580669197; -1; 286104779; -1; -1; 115712872; 556275051; -1; 892160523; 30455191; 962977878; 442574809; 938607637; -1; 550052054; -1; -1; -1; -1; 408968252; -1; -1; 85697449; 428192040; 852619974; 135134154; 1121742; 2469548; 566076822; 87518758; 295356615; -1; 331557499; -1; 505887289; 1067848; 911426558; 338997960; 741053265; 909244799; 60014214; 490973792; 12338878; 59644595; 493782463; 529885282; 607934934; 144960372; 436569326; 291404168; 144533121; 540603574; -1; 785999662; 818567071; -1; -1; -1; 336035371; 428269044; -1; 181479874; -1; 305058463; -1; -1; 412855628; 650309886; -1; 816651977; 142076004; 938179966; 702880339; 948516048; 148927405; 280469992; 347962113; 652138350; 498487012; 886930941; 917845818; 761929107; 367061871; -1; -1; 972867130; 860873014; 965476876; 656012280; 436432612; 115279841; -1; 752943969; 282921140; 412987357; 560600158; 192101815; -1; 686567268; -1; 118550093; 710803024; 43756385; 357869073; 149711684; 396637852; 580191126; -1; 817140330; 164787714; -1; 803487837; -1; 37083982; -1; -1; -1; 359719144; 656660935; 770095765; -1; 938307580; -1; -1; 647566603; -1; 617295150; 103390761; 506477304; 545682051; 858648136; 205833587; 143773201; 560499852; -1; 418942733; 330505299; -1; 662322529; 651301607; -1; 167766270; 389121531; 182319697; -1; 833258751; 413388905; 896947699; -1; 731816386; 895724278; 25786695; 158571000; 627264659; 755133038; 590534172; 775697181; 686539207; 95680000; 151603038; 897977434; 991412142; 861306630; 638822975; 174867936; 852948700; 555167229; 653687887; -1; 471340165; -1; 802327090; 593012820; 377135102; 171418862; -1; -1; -1; 113325743; 243917909; 476213338; -1; 115350678; 19695525; 340259810; 465743152; -1; 690749450; 997362815; 306483354; 285166770; -1; -1; -1; 29582861; 746347826; -1; 112305722; 880215163; 356949463; 542429167; 823528769; 304160880; -1; 632086189; 279850933; 37505272; 71571873; 807204088; -1; 576239334; 234317961; 52682522; 594066558; 402412398; -1; 696401210; 648053462; 608520403; 987327282; -1; -1; -1; -1; 146036765; 990623344; -1; 164290145; -1; -1; 5168295; 652215662; 665176186; 239567161; 952315631; -1; 697202027; 738533343; 60070126; -1; 775071490; 619318823; 566202137; -1; 174646557; -1; 945396239; 116893785; 820298331; 623621330; 558133309; 242824248; -1; 332885692; 960916353; 41331926; -1; -1; 812077653; 926012725; 411009201; -1; 633484528; 388648519; 136044076; 732936268; -1; 729220855; 872404279; 237144572; -1; 503501789; 299304711; 864383974; 362088446; -1; 243621870; 129983523; 508452288; 908193521; -1; 381778428; -1; 61134340; 561035506; 696840173; 88668028; -1; 391129230; 541168365; 812890221; 292601902; 114996217; 780202761; 433464812; 698248710; 126173737; -1; -1; 945141978; -1; -1; -1; 379270357; 800552158; 331640165; 488787853; 78365862; -1; -1; 744219074; 923753342; 34510639; -1; 816853634; -1; 219548899; 877560241; 957246370; 448179168; 44580696; -1; -1; 171652438; 672473710; 916315428; -1; 212363158; 487870248; -1; 486345642; 441316697; 317595958; 595177106; -1; 889870395; 474578061; 179547553; 422444193; 625456028; 743355052; -1; -1; 504132395; -1; 669523430; 424677339; -1; 324858616; 692210880; 65919512; -1; 797168080; 788105399; 38596640; 808321598; -1; 938135220; 178798614; -1; 115120245; 536967095; 701489562; -1; 141591638; 419658812; 240424631; 344434984; 791121566; 386910106; 724713635; 523377328; 839709589; 954070464; 996736117; -1; 659356342; -1; 935202725; -1; 953249260; 767434245; 974977785; 822618453; -1; 447980172; 552027563; 636315657; -1; 731479833; 671709675; 869896124; 638232092; 412460696; -1; 549295271; -1; -1; -1; -1; 54348285; 622255951; 276270988; 773818300; -1; -1; -1; 147951459; 758079956; 656720255; -1; 711737275; 906000076; 991233784; 863563049; 918683432; 798276826; 864931131; -1; 983703338; -1; -1; 824404541; 62082741; 436254678; -1; -1; 707812881; 878701071; 918113518; 978731237; -1; 723771129; -1; 510186446; 789404901; 943041532; -1; 701130061; -1; 459011624; 617131501; -1; 763491468; 883509795; 139562563; 342167656; 898699880; 138738860; 440625048; 655335492; 59131957; 308891429; 697520765; -1; 384110961; -1; 806071719; 256412063; 748348471; 487200488; 387685886; -1; 811736554; 792168271; -1; 618982775; 196101642; 648422080; 29878978; -1; -1; 196501874; 311266912; 637235957; 689312226; -1; 211446885; 116557441; 633093012; -1; 924792169; 953158123; -1; 442141509; 745135785; 248445092; 122208945; 719824099; 407571128; -1; 780925822; 350726796; -1; 864095396; 563907361; 637181130; 891046172; -1; -1; 990391026; -1; 953429126; 948593786; 26165471; 863114969; -1; 213757500; 99209530; -1; -1; 875142789; -1; -1; 989521577; -1; 60678020; 774170620; -1; -1; -1; 246697505; 158541279; -1; 751008308; -1; 323610316; 89810068; 883714098; 960318170; -1; -1; 80078299; 441896200; -1; -1; 64405745; 531037994; 586770346; -1; 43919327; -1; 316275792; 647536834; -1; 96357760; 970242371; 986661522; 773008150; 264489218; 976974729; -1; -1; 766844833; 43908836; -1; 963176891; 484463412; -1; -1; -1; 449765695; -1; -1; -1; 220626205; 570092253; -1; 45047725; -1; 66970355; -1; -1; -1; 870414366; 281130619; -1; 175581347; 423319008; 924480632; 528179986; -1; -1; 424210376; 939717960; 998768333; -1; -1; -1; -1; 39486984; 191192664; 124593776; 811174047; 986325181; -1; 243890974; -1; -1; 31426360; -1; 904549196; 622124023; 757648446; 734921668; 521762322; -1; -1; 551293026; 268028884; 280296993; 7150553; -1; -1; 813738811; 705557368; -1; 361848247; 305608213; 126870719; -1; 235072331; 781148870; 782400179; 472101254; 127163146; 191641756; -1; -1; -1; -1; 443835815; 780829240; 197168921; -1; 569449294; 823412735; -1; 920333358; 424265082; -1; 626329160; -1; -1; 610241164; 785065122; -1; -1; 493323005; -1; 315958356; -1; 515464913; -1; 843350617; 990235346; 402854977; 381321642; -1; 647709470; 568671965; -1; 801420905; 762473200; 517203122; -1; -1; 254951008; 890061617; 80034917; -1; 147605225; 809190171; 267616995; 567591261; -1; 928619650; 435022934; -1; 703290049; 384412463; 905880688; 474605928; 400293887; 509609062; 990777777; 678579177; 605723582; 655647878; -1; 16231596; -1; 306347241; -1; -1; -1; -1; 46038526; 987823668; 747383016; 549170005; -1; -1; 567298684; 717642010; 771110322; -1; 342905202; -1; -1; -1; -1; 331764780; -1; -1; 986141760; 560029764; -1; 820613754; 446116234; 104469296; 948726240; -1; 280215830; 710080434; -1; 240618140; -1; 894411325; 837635074; 173485359; 551556930; 622339739; 492604677; 822625277; 797598816; 956416285; -1; -1; -1; 72175010; 748720501; -1; 890186471; -1; 758386919; 822983470; 703185819; 476573402; -1; -1; 95457812; -1; 815482647; 769005300; 99160034; -1; 994594291; -1; 779223171; 278447920; 61709099; 774406561; 424489505; 465504860; 930576956; 360331906; -1; 818596167; 883644772; -1; 189552372; 59428799; -1; -1; 794367404; 701958277; -1; 21199107; -1; 90620979; -1; -1; 987285458; 538908500; 30761141; 493190206; 861856359; 380759418; 96018130; 420916749; 699846974; 70520871; 799065665; 429905798; -1; -1; 401692834; -1; 860659629; 616744033; -1; 880178099; 356774954; 263050955; 228391037; 457148974; -1; 593743734; 734562170; 454959138; -1; 79130129; 861818806; -1; 590541448; 245037476; 497048461; 893167987; -1; -1; 400471361; 537378491; 643953214; -1; -1; 252615933; 314323563; 15926931; 399169995; 302314059; 580327774; -1; 340312031; -1; -1; 513972644; 667342483; -1; 236044041; -1; 147459390; 968451880; 160719873; 45572462; 540436156; 592553521; 795411485; 957437951; 272047565; -1; -1; 638084786; 141038879; 919976604; 957456287; 682592686; -1; 490112497; 976295730; 693457859; 410290722; 103922867; 22122512; 829089026; 971585410; 777869085; 383497698; -1; -1; -1; -1; 634480582; 77064101; 766774430; 917823500; 168147808; 744367369; 566873058; 727147398; -1; 907368323; 865901734; 237016687; -1; 180876475; 808283367; -1; 351713294; 812761821; 137894972; 183737394; 594313703; -1; 175460089; -1; -1; 641154985; 863697535; 390200386; 661291796; -1; 201285596; 223202804; -1; 318728754; 790095385; 517556467; 275643095; 991313296; 328287218; 518159897; -1; 511168489; -1; -1; -1; -1; 343283406; 842001274; 791249115; 498737616; 698388442; 220976811; 336007807; 680016047; 605763078; 883712603; -1; 277850178; 681833115; 273868603; 452117856; 390843407; -1; -1; 947836000; 21895467; 190480983; 126243690; -1; 575641323; -1; 784720022; 758433882; 523605156; 104247904; -1; -1; 594845383; 923590545; 121988569; -1; 517149881; 743931995; -1; 313149296; -1; -1; 871493956; 707548654; 174926440; -1; -1; 540771907; 804498833; -1; 939793516; 948211585; -1; 311976686; 677316971; 762005051; -1; -1; 904406545; 635219363; 343678374; 86690428; -1; 230351503; 545256547; 732286305; 238689867; 507878795; 992143778; 456380119; 325949673; 786879869; 984301487; -1; 208894835; -1; -1; -1; -1; -1; 117792770; 103841049; 490774530; 724197179; 809861399; 223854900; 185735847; -1; 145792653; -1; 696344948; 987084643; -1; -1; 398163918; 106189333; 58483036; 766693009; -1; 185216977; 325925276; 699896221; -1; 183807787; -1; -1; -1; 927395913; 382417021; 860865964; -1; 379236705; 587949996; 938676419; -1; 953321147; 898433951; 167576278; -1; 541347806; 663189878; 613452711; -1; 539700554; 80301334; -1; 253681860; 269610713; 927662435; 322682623; -1; 326088589; 641582035; 498478213; 263526409; 131078664; 215801972; 842394457; -1; -1; 463617956; -1; 574518091; 261103723; -1; 419268396; -1; 925519770; 602060998; -1; 98425068; 406946019; 184336852; 209209585; 75878576; 357403047; -1; 37167692; -1; 842282609; 326365143; -1; 153811466; -1; -1; 701545371; 210970904; 861788706; 331443367; 341796821; -1; 406997319; 680120289; 680928456; 711324201; 304152821; 823379905; -1; -1; 624573189; 506992602; 668183181; -1; 503458611; 806949312; 381016745; 320557722; -1; 347367215; 170670586; 418406224; 630383621; -1; -1; 426824844; 208117409; 277507761; -1; 325270429; 801276170; -1; -1; -1; 236501367; 392067331; 315007347; -1; 233420323; -1; 4554033; 20672137; 954463396; 382360677; 950548515; 34241546; 840026191; 754245500; 159735234; 659651291; 916562250; 796468237; -1; 755793473; 525278255; 603599507; 591575684; -1; 304830137; -1; 432647270; 555148038; 535639983; 231399113; -1; 3456004; 500611975; -1; 179275444; 25383732; -1; -1; -1; 332848307; 691689025; -1; 152226702; 449705592; 441735615; -1; 163836471; 449280458; -1; 67211925; 942766151; 906910043; 33127467; -1; -1; 109080491; 114124895; 901724979; -1; 274146975; -1; -1; -1; 678055266; 405558815; 860401883; 919391863; 505411348; 659873732; -1; -1; 516784238; 278244197; 167521388; 480288424; 729410311; 366775969; -1; 293942798; 903660542; 741748769; -1; 871093601; 773319281; -1; 357407252; 528367468; 535836676; -1; 471917171; 139277944; 855941136; 285691683; -1; 168883271; -1; 188995964; 305569117; 839912542; 527505116; 423692885; 861304871; 865223711; 571296107; 515438242; 39853288; 3668088; 874096906; 444886179; 791034202; 315530078; 693415447; 333073012; -1; -1; -1; 22856337; 490256513; 481511138; 622152279; 898907952; 514427018; -1; 376796509; 715295138; -1; 704106432; -1; 245213217; -1; -1; 27481311; 445139024; 180055367; -1; 527644010; -1; 932045745; 522735964; 787935260; 498456519; 593076769; 480846969; 269275856; -1; 403202858; -1; 428822158; 897393984; 801502496; 696061739; 80010121; 24576360; -1; -1; -1; 759236759; 764193567; 539978070; -1; 881516282; -1; 804127614; 417413873; 648647949; 886879623; 633493514; 296861397; 555245218; 80145910; 134661392; 359870341; 281737094; -1; -1; 313469900; 568485602; -1; 50517707; 733606840; -1; 378649200; -1; -1; -1; 61858505; 661701559; 89401069; 800362680; 473363021; -1; -1; 308397096; -1; -1; -1; 78796687; 320876623; 813349121; 333364215; 826627895; 473228099; 272467609; 108816203; -1; 476733622; -1; 283106258; 613599955; 213028253; -1; 636323712; 30235318; 849529431; 42549571; -1; 21099617; 757422826; 332185281; 892819341; 459695008; -1; 321949185; 487705585; -1; -1; -1; 350180523; 495310546; -1; 848109219; -1; -1; 63747325; 84760574; 190566084; -1; 413532457; -1; -1; 545374164; 904891633; 539558505; -1; 62297103; 194756585; 314485238; 922161542; 169903070; 279285775; 225156023; 697131571; -1; 115581675; 112649426; -1; 69252105; 763810109; 258528422; 810317381; 769170101; 114204084; 712009363; 209916957; -1; 848172236; -1; 738823910; -1; 381410494; 647304267; -1; -1; -1; 822487351; 476042495; 307299382; -1; 497022550; 260101133; 339111924; 198658617; 91655730; 895044887; 597256709; 284765426; 705511284; 452539902; -1; 16289032; 704910403; 602745510; 584043082; 881945740; 575490227; 796501364; -1; 6149248; 322692175; 25471185; -1; 11859021; -1; 864552014; -1; -1; 420305896; 524222446; 16573532; 413953939; -1; 243998851; 513481151; -1; 470013883; 602575906; -1; 389563130; -1; -1; 162141989; 268364091; -1; 747982938; -1; -1; 618484969; 503419817; -1; -1; -1; 121629276; 60314790; -1; 972311420; 7053605; 22033389; -1; 629758007; 235079531; -1; 31268279; 277336225; 775809506; -1; 702083984; 403678442; 654871841; 907238657; 657837823; 584967743; -1; 879641789; -1; -1; 419670843; -1; -1; -1; 983823607; -1; 250914658; 104323111; 343579205; 430126467; 846927994; 3471531; 44282140; 304884918; -1; 854825517; -1; 718895672; 250686525; -1; 88159761; 945844340; 739993900; -1; 191007297; 333645739; 923505311; -1; 691050310; 117173893; 870791200; -1; 903503361; 236696336; 293443559; -1; -1; -1; 934450501; -1; -1; 122542345; 176789574; 188320018; 42252393; -1; 22797011; 791327444; -1; 442071770; 662578799; 786661696; 538765532; 894471543; 647870316; 32089053; 864335381; 167860611; 349922456; -1; -1; -1; -1; -1; 959610891; 88189090; 86182514; 971806951; -1; 497793523; 200196758; 604893401; 5180362; 795565735; -1; 366517196; -1; 937410978; 384406446; 477662605; 482677042; 259679517; 330279572; 598994957; 976139543; 927051648; 788787852; 767940352; -1; 24048633; 815786744; -1; 687653220; 904229869; -1; 781768075; 801301664; 804581906; 980262115; 817381581; 444234925; 522722266; 676043615; 288865362; 64557982; 62851433; 13876118; 650795814; 394279328; 121492599; 80610450; 291444153; 605051762; -1; -1; 834185293; 127205056; 694223373; 749725973; -1; 110748248; 978401894; -1; 220551679; -1; -1; 128588571; -1; 575686109; 858883285; -1; -1; -1; -1; -1; 995563127; 388047162; 381046687; 365459014; 461399468; -1; -1; 749919278; -1; 719516699; 676903359; 622960557; -1; 46448511; -1; 120281085; 284066261; 704603722; -1; 369754580; -1; 737549725; 325770436; 723142242; 864732574; -1; -1; -1; 435323039; 793523376; -1; 722754097; 631767328; 316308262; 82794481; 198597759; 506252028; 428203335; 52068566; 443966314; 190250626; 537794512; 647252958; 925913822; -1; -1; 158817201; 277530886; 688528175; 805010339; -1; 449948032; -1; -1; -1; -1; -1; -1; 919263975; 868556635; -1; -1; -1; -1; -1; 428627088; 636971572; 99039420; -1; -1; 304690938; 4555556; 682257877; 940884159; 281872844; -1; 150732325; 814629958; 604656411; 116462016; 415155076; 735581945; 974102354; 392565700; 463048570; 58773437; 238612932; 178846187; 180268764; 227832620; 10817008; 621936711; -1; 113366243; -1; 677653835; 332129595; -1; -1; -1; 198130489; 681790561; 82609384; -1; 530168732; 754288255; 721451892; 289800195; -1; 351352967; -1; 316330137; 660419195; 275704040; -1; 36993695; 327619542; 568570111; 442277347; -1; 829196691; 442210417; -1; 600529770; 21161002; 33260084; 224005163; 602654179; 935932539; -1; 911808102; 678670536; 880932443; -1; 169232455; -1; -1; 535834312; 28353636; 546351382; 79041352; 559154628; -1; -1; 290648661; 626416687; 900274626; 120403113; 323751500; -1; 74658409; 341803992; 141030810; 188736493; -1; 849178456; -1; -1; 874903175; 629477662; -1; 706584410; 168236920; 989242735; -1; 939240015; 166142925; 684715220; 304929597; 753035557; 810350373; 291214982; 753691197; 197374547; 702418660; -1; 960963147; -1; 246559233; -1; 239715017; 559945655; 597161073; -1; 170391372; -1; -1; -1; 744333480; 341768474; 772325653; -1; -1; -1; 230533329; 240133544; 85026215; 213770002; 593490306; 293525728; 32650329; 999623254; -1; -1; 288360090; -1; -1; 543999216; 635989276; 24066802; 55606322; -1; 399746701; 813857750; 323380772; 47027987; -1; -1; -1; 424197408; 985611257; -1; -1; 375223344; 71944379; 680135297; -1; 964907926; 23121561; 674454874; 765121299; 693640003; 518959249; -1; -1; 60667928; 319241420; 824084014; 548836579; 108462780; 73147599; 463181721; 892280220; 630930647; 199355284; 204240808; -1; 32102810; 716256152; 236868997; -1; 946470775; 630258003; -1; -1; 589932081; 701379559; 982047759; -1; -1; -1; -1; 427029437; 979921145; 496008687; 278593548; 954955762; 537890307; -1; -1; 451820136; 772802673; -1; -1; -1; 475199182; -1; 176858482; -1; 277655161; 216283360; 81339585; 945499028; 124300669; 88830637; 518937349; 270958267; 378954451; 651697450; 139486198; 49093950; 200591000; -1; -1; 70517979; 803032993; 453856760; 780048130; 509575419; -1; 641595420; -1; 566075251; 425567722; -1; 795017193; -1; 350794744; 382554907; 5742417; -1; 161143453; -1; -1; -1; -1; 613554224; -1; 370607155; 161381607; 414781624; 405778934; 539041340; -1; -1; 260415397; 437198227; 849057841; 331738949; 417558726; 578779650; 914340242; 173343586; 987299232; 753146323; 539589454; 232952218; 356502888; 831111582; 885652311; -1; 848678108; -1; -1; -1; -1; -1; -1; -1; 658782287; 154176849; 44586669; 878679973; -1; 692616911; 19618109; 3479215; 235890921; 353961661; 281048000; 63485490; 419249821; 429181140; 473979313; -1; 38250986; -1; 385937590; -1; 462794986; -1; 857508221; 301837567; -1; 425452179; -1; -1; 783188080; 218065594; -1; -1; 734813607; 561776743; 588566293; 570452163; 93904975; 344381102; -1; -1; 954571259; 218948367; 199348583; -1; 74423287; 606859571; 230580642; -1; 298615240; 424235763; 972700877; 127777925; -1; 980177218; 438385983; 474060201; 116245857; 731899325; 186644280; -1; 743754699; 366942365; 109465545; -1; 740180698; -1; -1; 950968284; 382121059; 6043535; 696919359; 350639551; -1; 421067103; 65237392; 562085068; 631985202; 557930690; 409540040; -1; -1; 759675532; -1; 875142049; 878219197; -1; -1; 385029683; 289123827; 155814659; -1; 657804405; 69511440; -1; 215736969; 520817459; 74186251; -1; 765729966; 442629987; 365781954; 869348357; 868633208; 255682564; 202702601; 307871780; 623521702; 797981772; -1; 554671806; -1; 997019231; -1; 650802305; 458626044; 953120207; 487171673; 616261996; 68735707; 59754900; -1; 518968310; 484495742; 39332827; 168212436; 792759172; -1; 909162395; 338379025; -1; 691786690; 926803391; 542213132; 733884487; 883489285; -1; -1; 657045161; 938212896; 300611806; 619775123; 182842963; 396414984; -1; 439278166; -1; -1; 768925311; 481969397; 179396207; -1; -1; 533135780; 848240854; 618230816; 863462451; 684286721; 912639914; 446637225; 159265337; 935981496; 796659078; 584457476; 846562254; 585049056; -1; -1; 434232424; 529249929; 746554905; 285663561; 986362490; 993845820; 596618693; -1; 266502650; -1; 624751046; -1; 855631603; 511994134; 654637742; 842636063; 717252598; 739931187; -1; 75771772; 747462578; 761315560; 843314679; 18819496; 894979837; -1; 857747358; 182160834; 714582551; -1; 784592340; -1; -1; 390050211; 42952688; 490106038; 173848083; -1; 793488436; -1; 236310000; 964029070; -1; 457785810; 92479500; -1; 609036609; 811160053; 238873401; 540490703; 494982413; 49637497; 252062610; 845070783; 458902365; 764420811; 117499453; -1; 14320570; 196850417; 808720253; 694422036; 879957953; 90573259; -1; 727194878; 290419169; 841350406; 416198087; 10540854; 660445607; 547597434; 790870243; 79334811; 790437372; 526656635; -1; 423567803; -1; 723280131; 602345412; 110540756; -1; 865324171; 760047996; 994592340; -1; 167839930; 979140908; 403549437; 407329184; -1; 373411128; -1; 299839236; 844666870; 717992082; 784464339; 80376569; -1; 249264658; 1538889; -1; 308701132; 802855956; 319374612; -1; -1; -1; 305483204; 321092791; 241793904; -1; -1; 594650892; 982516464; 345912500; 526428657; -1; 701798740; 796872394; 209013429; 121785475; 725946432; 502118391; 336880640; 910315463; 556862764; 333321677; -1; 539571849; -1; -1; 703778309; -1; 24829334; 223377441; 547298985; -1; 73734454; 523288984; -1; 950022676; 302465833; 240809859; 355474023; -1; -1; -1; -1; -1; -1; -1; -1; 569338934; 713348844; 48566204; 747729663; -1; 411434577; 446876801; -1; -1; -1; 868018128; 885906056; 810875332; -1; -1; 324154366; 464113551; 217048235; 131924961; 749688798; 41352417; 792631473; 814827496; 136794526; -1; 719993432; 661461823; 911644197; -1; 246890223; 406086911; 991794517; 579923408; -1; 891256037; 354092663; 216168508; -1; 877542933; 338635782; -1; -1; -1; -1; 634842728; 247841746; 2247680; 590439870; 942432782; -1; 708766753; 183445764; 625777998; 699272631; 975986551; 329465086; 951586678; -1; 776902153; 545248098; 933422182; 275670685; -1; 461584846; 894152342; 19770698; 499679306; 814697692; 356291390; 980969123; 498168376; -1; 942865587; 356248542; 969845134; 268316840; -1; -1; 423620316; 345850273; -1; 895640854; 365775607; 745062791; -1; 165578903; 264794203; -1; 206399418; 225435573; 435222658; 587085616; 97202875; -1; 221317592; 16078575; 993842648; -1; 808701977; 148875277; 326657; 643390211; -1; -1; -1; 543827867; 777474864; 207405120; 515055311; -1; 228013084; 633986747; 282622602; 67810741; -1; 952077; 184923184; 250938334; 444213156; 688409788; 807924441; 349681863; -1; 581241773; 928211596; -1; 886904337; 812717829; -1; -1; 603070076; -1; -1; 472132957; 189209945; 528148485; -1; 165746460; -1; 887975466; 737494011; 290046804; 164716619; -1; 933649204; -1; -1; 663043919; 59399737; -1; 240458995; 139513566; -1; 936074405; 695155277; 361787331; 811828949; 223231839; 171994213; -1; -1; 900611454; -1; -1; 800022714; 854791320; 342441618; 159181266; 491482518; 516145767; 992986992; -1; 397627036; 49419744; 629829856; -1; -1; 833381184; 239252600; -1; 205211117; 4187026; -1; 405194603; 660360010; 616798561; 785518176; -1; -1; 683899330; 695774307; 887049448; -1; 757732902; -1; -1; 864160338; 406927114; -1; 925770635; 812666118; 627609269; 570918554; 833915996; -1; 25857012; 108717736; -1; 488936778; -1; -1; -1; -1; 843158996; 884781139; -1; 2126385; 694911238; -1; 724526062; 493257821; 85680189; 694105068; 429097192; 474091234; 789262833; 509048501; 962462399; 320585590; 247186390; 403639796; -1; 959615566; 152047778; -1; 85202737; 933725806; -1; 291708551; 622839052; -1; -1; 150237454; 366923178; 787095379; 381205473; 396226651; 710580831; 644552428; 456875607; 692505061; 881740351; 338112705; -1; 481455285; 798973996; 232464926; 922090077; -1; 804736676; -1; -1; -1; 71236876; 473212833; 256626951; 198512508; -1; 742811196; 490584974; -1; 949385492; 926590142; -1; 430917745; 901868633; 345074538; 240529133; 799706089; -1; 421189507; -1; -1; -1; 248555006; 667873733; 954671738; 717135373; 369213522; -1; 70594117; 148823273; 173429190; -1; 868019975; -1; -1; 735179598; -1; 641861803; 607931908; 816835475; -1; -1; 483519397; 569402574; 600867481; 689695769; -1; 258014736; 981411589; -1; 158363185; 627411925; -1; 889383243; 504375297; 231780500; 981137713; -1; -1; 437105670; 259408011; -1; -1; 294435070; -1; 684765850; -1; 951083371; 352980652; -1; 996650818; -1; 934147162; 608618579; 417087321; 384196258; 495418749; -1; 558975219; 395423088; 223833331; 258196334; -1; -1; -1; 646364326; -1; -1; 9106970; 109066743; -1; 910343421; 186776325; -1; 666486278; -1; 188758479; -1; 255199142; 835009114; -1; -1; 561106805; -1; -1; 376001158; 754187488; 769078046; 81422705; -1; 802507218; 832144067; 639160395; -1; 739496652; 155435183; 415254447; 349665429; 169812620; 183932143; 747663960; -1; -1; 849882731; -1; -1; 899587472; -1; 746652171; 709028416; -1; -1; -1; 415671930; 131572505; -1; -1; -1; 751114181; 790040295; 316899141; -1; -1; 61263493; 447557792; 598216660; 304105166; 548877171; 475473559; -1; 995592124; 160941613; 593215925; 518792134; -1; -1; 403323895; -1; -1; 903778045; 322486543; 424615875; -1; 409303311; 19558966; 208492500; 65989585; 867080456; 136851818; -1; 37624547; 489156133; -1; 823245361; -1; 98264854; 91764833; -1; 259747470; 341263201; 472871139; 18081638; -1; -1; -1; -1; -1; 286853048; 619058840; -1; -1; 340075258; -1; 931743007; 410016932; 377353722; 303120236; 665022390; 120483444; 784437569; 684249397; -1; 766729654; -1; -1; 202813892; 322592330; 148867074; 953378091; -1; 511359856; -1; 504894540; 355109470; 347864550; -1; 147821212; 443025893; -1; -1; 73298154; 27586131; 607780262; -1; 132132551; 264699184; 95421036; -1; 653139326; 631733878; 419159921; 763761082; 875468816; -1; -1; 554809464; 557206777; 938656641; 809384321; 261228040; 991504544; 458804668; 896966372; 487892888; 16825594; 225431019; 334064669; -1; 290043681; 13705467; -1; -1; 636624355; -1; 369599817; 570598199; 989858969; -1; 594047611; 335919651; 961304159; 912507700; 360004504; 925737991; 682963129; -1; 145382787; -1; 616688873; 9807684; 8064071; -1; 807368697; -1; 61432691; 579221010; -1; 925549333; 821556444; 488042592; 253871157; -1; 367647420; 807845679; 22467628; 284027966; 451830789; -1; 671145043; -1; 354359025; -1; -1; 141290875; 991965908; -1; 692922781; 167305934; -1; 837202481; 248380087; -1; 870439646; 725513876; 197373741; 447933547; 663356746; 76000086; 557401291; -1; -1; 991867386; 617824175; 325559553; 680181804; 815570704; 29740866; 112182888; 411313276; 582645384; -1; 421384020; 414633715; 292207252; 41984795; 817723323; 5531169; 179668904; 594074960; 449135157; 139274757; -1; 905374830; 839176646; 361002458; 79207319; 224469251; 414125574; 994509704; 549265564; -1; 465019525; 292507697; 106264146; -1; 913132965; 751645610; 66302454; 220958199; 484352916; 118596459; 966825262; -1; 188087773; -1; 121308247; -1; 633228539; -1; 821586071; 389069950; 600480152; 535724036; 930050383; 372969593; 980568735; 450962708; -1; 572980455; 964181534; 345390814; -1; 790475799; 682825232; 751985931; 823105014; 154777961; 833622360; -1; 961400918; -1; -1; 670648353; -1; -1; -1; 141313470; 859404966; -1; -1; 688604774; 613400239; 44919210; 866479490; -1; 217813507; -1; 708103886; 331069977; -1; 796549727; -1; -1; -1; 291949853; -1; 943760321; 165814559; 470217420; 361204425; 391068526; 163985298; 416467465; 709099783; 437791303; 463718387; 802266904; 790540376; -1; 195241141; -1; -1; 336312966; 875391726; 469084466; -1; 369076299; 591709511; 799530620; 798880020; 559316147; 139144346; -1; 420427492; 237620703; -1; -1; 47224103; 804897519; -1; 887784436; 55621098; 53047130; 645498420; 164640154; 438938749; 447753021; -1; -1; 872599906; 303591799; 66699179; -1; 604425967; 97787462; 998667279; -1; -1; -1; -1; -1; -1; 628335567; -1; 902279616; 141667781; 367488530; 110452010; 970746843; 857037773; 349961299; 761585916; -1; -1; 917205181; 684673976; 462645030; 494268313; -1; 135976411; 789648114; 189563896; 19846440; 76413936; 97115922; 998113592; -1; 377590338; 331650596; -1; 192506582; 88614088; 326471936; 90868179; 21349605; -1; 990123807; 882182343; 972602572; 19703439; 546204579; -1; 516053945; 294645851; -1; 12792555; -1; 55741576; -1; 320853427; -1; -1; -1; -1; -1; 948711924; 338286025; 736840498; 947069692; 636713988; 360756026; 511156145; 693130429; 474044456; -1; 949119515; -1; 515025524; 223928991; 838473781; -1; 794973830; -1; -1; 393454669; -1; 382255908; 42272746; 469552089; -1; 497537747; 2341498; 886595751; -1; 351037461; -1; 187756535; -1; 38916260; 884368136; 986970875; 475725034; 159612344; 470614310; 937978398; 399576032; 831251003; 386948730; 924485209; 636576602; -1; 989908920; -1; -1; 830605924; -1; 369765686; 387778189; -1; 644033926; 708598866; 648280860; 555258950; 697563171; 80459348; 819974252; 464573719; -1; -1; -1; 372192461; -1; 457169953; 406216633; 659333113; 226703315; 824008764; 803403481; 214412320; 594937777; -1; 262753308; 319007353; 792571444; 894995938; 832429094; -1; -1; 79658269; -1; 621361136; -1; 117126671; 174994052; 763372496; 36032872; 99049950; -1; 495423358; 140731721; -1; -1; -1; 156696444; 103709025; 859798770; 103269402; 638077199; 852441827; 897121964; 205376087; -1; -1; 800733003; -1; 268893542; 32598615; 135473689; 12362964; 139754259; -1; 302698713; -1; -1; -1; 241962922; 426660807; 452515288; 206659719; 635264623; -1; 285617443; 216062556; 91526770; 798388335; -1; 837679909; 379584761; 262988219; 378761708; 784321742; 336856638; -1; 540685284; -1; -1; 69558122; 486039587; 883621401; 218394247; -1; 561362782; 80179567; 586458227; 381841732; 657088028; 6423534; 526072618; 32469303; 774865889; 87336508; 491477153; -1; 131573253; 213092464; 772837401; -1; 990566764; -1; -1; 249861301; 175649919; 327125526; 844083659; 819215874; 505364186; -1; -1; 467228551; 573581757; -1; -1; 351293652; -1; -1; -1; -1; -1; 513470813; 473296497; 347115715; 192792944; 426561345; 517855240; -1; -1; 866008387; 254268852; 295046033; 630460788; 561111836; 69481572; -1; -1; -1; 262708540; -1; -1; 38828826; -1; 407807126; 378111055; -1; 444609557; 562580135; 601888574; 4831043; 100625867; -1; 536302482; -1; 506315610; 668067667; 102570530; 513721461; -1; 509240022; 234476483; -1; -1; -1; -1; -1; 469676107; 757088693; -1; 570751644; 384872029; 130618437; -1; 15023616; 251596077; 263241686; 121499168; 112445568; 697807826; 147794823; -1; 193039379; 463534124; -1; 831004563; 637839496; 238044292; 266943783; 574178048; 978692135; -1; 825257520; 245835626; -1; 276475446; 874262894; 65413779; 788559836; 188662719; 444272243; -1; 667172687; 649623527; -1; 723934100; -1; -1; -1; 703724747; -1; 628158446; 24150870; 891695642; 640417107; 67395686; -1; 522567078; 57173590; 993504977; 135627639; 548502895; -1; 213120367; 486883230; 877076131; 484957266; -1; 104003459; 708809817; -1; -1; -1; 396318550; 137133948; -1; 831837724; 131826184; -1; -1; -1; -1; 823779746; -1; 777762452; 798563008; 393321908; 428542098; -1; 806886704; -1; -1; 751710873; 6237241; -1; 315500378; 528244300; 379404890; -1; 207811876; 177162601; -1; 848938289; 173733618; -1; 960028806; -1; 121501405; 661089843; -1; 15137423; 355020359; 122936259; 714821095; -1; 803177381; -1; 116793640; 592483803; 174807181; 136146195; -1; 790369225; 627050075; -1; 410470330; 292197991; -1; 493390848; 716496916; -1; -1; 579204571; 321992853; -1; 290944984; 507606826; -1; 500598992; 747278335; 866462635; 776720671; 495979048; 775101476; 771738100; 937719601; 260591318; 85192941; 92303639; 890026457; 395676273; 363524132; 275619679; 525558595; -1; 410311267; -1; -1; 795312473; 373223636; -1; 525988974; 448755932; 58924247; -1; 374882118; -1; 950708107; 109275424; 646594809; 457528565; -1; 505608155; 60089939; 884752363; 927706878; 664955166; 325121159; 951489307; 594646771; 64239464; 105720652; 287919364; 822794781; 79190855; 521608783; 555031858; 361263058; 157973883; 101904304; 87018019; 399307089; 305154065; 772945363; 790085925; 242686461; 6744853; 980614162; 964377039; 709732741; 613185034; 543065063; 433490786; -1; -1; 767466168; 974900693; -1; 573230257; 742182960; -1; -1; 922932637; -1; -1; 886283103; 28412821; -1; 836608093; 474788888; 451938910; 406518370; -1; 524857612; 877684101; 585406606; -1; 273187010; 110819057; 938524359; -1; 50161932; 878831461; 265220240; 68554974; -1; 597197877; 306253115; 597811987; 726870995; 297029456; 619798497; 973312711; 525283183; 204326098; 625594796; 546291701; -1; 227813259; 247854962; 452856786; 999332124; 349691324; 265104251; 372802587; 46698479; 146822807; -1; -1; 966902100; 462301679; 855057294; -1; 621225232; 868106864; 82549572; -1; 434130460; -1; -1; 226332560; 71535577; 239521009; -1; 124629002; -1; -1; 353525240; 9566298; -1; -1; -1; -1; 917130960; 19571905; 995565697; 790436175; -1; 105203837; -1; 874107681; 473703522; -1; 669362147; 216116622; -1; 567409732; 837099516; 935279404; 446410209; 67872687; 258489045; 526859917; 574929785; 998860974; 694572093; 687460659; 353841860; -1; 818633241; -1; 931848494; 349442174; 175347394; 358503885; 801527063; -1; -1; -1; 333435334; 210182519; 695270738; -1; -1; -1; 239692547; -1; 234224323; 251057497; 516976318; 876333937; 74721315; 421276486; -1; -1; 514832715; 789454005; 153849960; 49183277; 521343073; 641020603; -1; -1; 440903613; -1; 137403849; 345676765; 467557822; -1; 218677661; 785840857; -1; 285614316; 427502299; 252228622; 848206683; 624797228; -1; 312355590; 710133991; 81814821; 860249249; 800396914; 805124494; 488334762; 234865874; 971248441; 56711163; 75526194; -1; -1; 272209081; -1; -1; 471698807; 324809687; -1; -1; 289875799; 284115143; 33752145; 332216579; 479999634; -1; 656412492; 270330427; 302529633; 272327888; 108539033; -1; -1; 527328657; 128814045; -1; 625002949; -1; 35790111; -1; -1; 172141790; 89750103; -1; -1; 830651336; 895751546; -1; 115028036; 921921968; 955224725; 264317742; -1; 98870428; 926484611; 509242781; -1; 258907386; -1; -1; 732893303; 600202946; -1; 459607234; 877495947; -1; 818391357; 638711763; 219094206; -1; -1; -1; 937236407; 450570736; -1; 879876423; 404734150; 309614748; 75410075; -1; -1; 671567810; 314622170; 742751789; 533679501; -1; 917338579; -1; -1; -1; 416614560; -1; 696058701; -1; 504304061; 286275181; 470047220; -1; 86980659; 612396924; 377866714; 213266599; 468362888; -1; 128345446; 570170689; -1; 555679301; 878028205; 65589008; 497806151; -1; -1; 253121626; -1; 157126390; -1; 942639036; -1; 339762637; 120853509; 556045823; -1; 29987862; 278132765; -1; 819824925; -1; 177176645; 466046575; 405222369; -1; 579946378; 577781209; -1; 847199861; 954883715; 517322274; 230688553; 983525888; 485497208; 782378549; 369781487; -1; 674171627; 327955858; 858348957; 742112446; -1; 742342407; 217974125; -1; -1; -1; 231670403; -1; 658631655; 516415741; 21889537; -1; -1; -1; 349142358; 867684429; 459854558; -1; 407637437; -1; 75294281; -1; 782701303; -1; 619804870; 896139933; 637967535; -1; 297766601; -1; 853051883; 800490247; 403006976; 934508304; 64794480; 513394812; 476851637; 275829663; 59247094; 78578390; 350092107; 592852602; 336307722; 752580171; 629991770; 813320918; -1; 682959557; 919624222; 349875030; 777451774; 78238727; 729662614; -1; 357256005; 192184796; -1; 493559606; -1; 101860493; 905021986; 664802791; 897560289; 211424910; 840637515; -1; 274597896; 353010968; 104860151; 913348999; 24843582; -1; -1; -1; 79045984; -1; 156139746; -1; 753250947; 504889174; 947077051; -1; -1; 89716611; 814951938; -1; 346105405; 4618988; 123625495; 98514471; -1; 101093408; 17641280; -1; -1; 92697285; 708269637; -1; -1; 23228164; 87605668; 130169242; 159336163; -1; 714267825; 63936948; 785438509; -1; -1; -1; -1; -1; 587186792; 644608338; -1; -1; -1; -1; 911265375; 32639438; -1; 882916696; 342568925; -1; 417783522; 482990570; -1; -1; 206760093; -1; -1; -1; 174139755; 161011945; 617781564; 565470576; 461101393; 864527968; -1; -1; 730518031; -1; 355645722; 458651971; 600782900; 102434762; 104107197; -1; 907873019; 69690658; 42834592; 238582348; 69091068; 126066389; -1; -1; 663313028; 757167951; 533660819; -1; -1; -1; 542630660; 29144602; 992215405; 145784124; 627856692; 89791439; -1; 544219990; -1; 69261852; 99200496; -1; -1; 697303308; 559726579; 242886279; -1; 143607521; -1; -1; 339407911; 592150602; -1; 135271238; 155897287; -1; 549364109; 433316628; 268669683; 321830849; -1; 48983211; 289957670; -1; 314754608; -1; -1; -1; 746704023; -1; 158641576; 688668481; 197386424; 636155529; -1; 427816042; 554025466; 281596146; -1; 95083706; -1; 97909534; -1; 577359863; 640949662; 451421478; 889736772; 597052800; -1; -1; 949311600; 120769797; 302594191; 726206038; 784282266; 441810390; 238937536; 574199561; 354289845; 568339306; 934506289; 329045898; 977898838; -1; 72553547; 971500703; -1; -1; -1; 216008188; 183753418; 33663666; -1; 662362988; -1; 446004805; 944321757; 57211784; -1; -1; -1; -1; -1; 975378476; 419244426; -1; -1; 57905965; 525586511; -1; 329183811; 881510648; 831447144; 300931921; 501081312; -1; 48629112; -1; 173446371; 573122787; 972910478; 977148836; 2167790; -1; 822261621; 460376111; 464824037; 329299246; 770457341; -1; 30055446; -1; -1; 320241957; 397806896; 687974422; 8188845; 818548258; -1; -1; -1; -1; -1; 131506728; 769741303; -1; 689947622; 950185741; 775810386; -1; 652774141; 263178338; 749990332; 370068707; 678390427; 64072412; 944132824; 963358178; -1; 704631470; 661167500; 282739511; -1; 752731160; -1; 623461108; 717961208; 313995426; 744289916; -1; 615723659; 315825076; 266258254; 910763277; 563385605; -1; -1; -1; 347596458; 890276125; 157520938; 113112862; 261703032; 352803408; -1; 224054344; 985598794; 494054411; 533112595; 508094220; -1; 886446239; -1; 504877574; -1; -1; 392636696; 583897719; -1; 674831362; -1; 221094348; -1; 210605891; 491635912; 599589957; -1; 417204109; 903296830; 463787933; 893793320; -1; 262437371; 743721750; -1; 484272890; 158633531; 158894167; 144601920; -1; 927531349; -1; 655077447; 637078417; 825245925; -1; 645472605; -1; 803138411; 216744269; 679337961; -1; 547877119; 909555209; -1; 117518986; 611421255; 504838451; -1; 737421866; 387349099; 443185608; 788417631; 497432182; 164912801; 576108296; 113049323; 484256724; 40815986; 655280190; -1; 46707979; -1; 617336388; 745279434; -1; 617093202; 452222917; 786850124; 915110691; -1; -1; 412625268; 303091955; 259018490; 395915530; 222602968; -1; 331857623; -1; -1; 235206714; 206242230; 191793853; 476022117; 484099157; 960318918; 199732223; 196787330; 974151806; 877538376; 172310012; 460427740; 489497314; 106376473; 483265375; 279063441; -1; 788917382; 967898854; 26789234; -1; 445051277; 101918962; 554625204; -1; -1; 313793304; -1; 965868375; 258728224; 386584831; 998860585; 118819429; -1; -1; -1; -1; -1; -1; 485688251; 256773796; 822397221; 414078606; 232255047; -1; -1; -1; 168203905; 384838194; 454759984; 592348054; 450666494; -1; 365686979; -1; -1; 888365259; -1; 374091015; 960207935; 509331915; 284635610; 814732688; -1; 353297617; 347947149; 693142212; 649547605; 473509073; 459391185; 438929094; 141283955; 860540820; -1; 823265165; 523677162; -1; -1; -1; 813810577; -1; -1; 903479855; 290562099; 804709404; -1; 311308963; 215492011; 858941107; 345712809; 63286461; -1; 892987188; -1; -1; -1; 751579245; 94653333; 414299399; 544471816; -1; 34010710; -1; 771271158; -1; 28486678; 777909804; -1; -1; -1; 344368967; 559004585; -1; 810275170; 398833476; 670637095; 558717216; 397556166; 428634167; 350360984; 995482294; 103602953; -1; -1; 180037195; 571610818; 930574834; -1; 903730623; -1; 634499802; 842665875; 215491158; 840664530; -1; 46085732; -1; -1; 630598752; 109267915; -1; -1; 950345204; -1; 558363883; 536385818; 721376751; -1; 88474204; 967688476; 261620611; 933218135; 868769816; -1; 440610182; 776725569; -1; 621235705; 468150795; -1; 820197703; -1; 34845092; 136261507; 465434806; -1; 154727823; 282828965; -1; 460242483; -1; 431344468; 48110502; 943595349; 712407056; 830584608; 865152566; 519765307; 633267744; 638868604; 696448179; -1; 688854433; 652680847; 201633200; 616975405; 181700608; -1; 807614653; -1; 996687838; 722665740; 182438196; -1; -1; -1; -1; 359225912; -1; 549556741; -1; -1; -1; 832541499; 6861548; 286749169; 123372733; -1; 486356664; 192609225; 344002279; 978969682; 554109349; 257801925; -1; -1; 772497991; 92122696; -1; 73518257; -1; 860657432; -1; 761421487; -1; 324166526; -1; 512463826; 171453150; 331558801; 851460387; -1; 60882117; -1; 869709634; 690059972; 709419189; -1; 685421092; 335149363; -1; 75379767; 199012164; -1; 753540152; 884872974; 357232611; 182682966; 948808505; 207072; 696098167; 32397509; 938153551; 497483418; 703366706; -1; 967057564; 501669168; 670417973; 417425390; 414321657; 818881112; 21508922; 88384887; 316772393; 870970408; 118383054; 416049742; -1; 673530896; 650662075; 51994860; 130802772; 628436453; 350731262; 353515304; -1; 622703840; -1; 297362528; 130199210; 388395559; 665044907; 312722194; 891086845; 30167624; 826212100; 470921296; 456043629; -1; -1; 834489379; -1; -1; 650982035; -1; 413335979; 669225631; 185520503; 377338103; 31854263; 208796420; -1; 132919707; 451196513; 27763308; 163787139; 787575528; 275670940; 795394581; -1; 479618094; 157344000; 820228692; 344897766; 449110417; -1; -1; -1; 180409353; -1; -1; 961687735; 385383154; 574746959; -1; 941529691; 221540346; 769042391; 473077917; 238112935; 705946750; 778764001; 942141885; -1; 599078722; 32688508; 761500331; 807559333; 814837134; 289286047; 897873359; 1222709; -1; 818313037; 409591365; 269398913; 18941804; 814479641; 678762564; 749424395; 127710289; 484978011; 973005129; 720159601; 454207952; -1; 143831636; 334436594; 974136879; -1; 381345581; 518465464; -1; -1; 335098439; 469660743; 867208622; 341160018; 590998566; 280218370; -1; 109371074; 463423649; 776656791; 748677945; 298762914; 957005425; -1; 692037742; 535092296; 10336183; 518830871; -1; 244302795; -1; 540107072; 241833157; 980926672; -1; -1; -1; 610373821; 299783904; 652306919; -1; -1; -1; -1; 384676422; 919813738; 597546569; -1; 952325967; -1; 39729937; -1; -1; -1; -1; -1; 312362590; 885773382; -1; 232768952; -1; -1; 930237416; 246666494; 673017878; 759141909; 718112171; 739980920; 883264500; 570972330; -1; 16298209; 278839271; 713138766; 259411287; -1; 539254941; 183270265; -1; 435956181; -1; -1; 89081001; 252069717; 245615529; -1; 957353249; 277784421; 507027725; -1; 633503014; 339391371; -1; 341001080; -1; 322915961; 51094050; 718521776; 735317613; 428585790; -1; 379974687; -1; -1; -1; -1; 567480175; 350900947; -1; -1; -1; -1; -1; -1; 533686359; 839963543; 212491664; 492442361; -1; 194464241; -1; 644063373; 169462495; 512132861; 358314945; -1; 339854779; 731619079; -1; -1; 923011658; 607663599; 393809616; 442717271; -1; 184738851; 345454223; -1; 365259526; 682003962; 658388160; 397339425; 862203450; 666122279; -1; 950660350; 132945601; 493554034; 574346101; 530250754; 736825967; 405813832; 167016686; -1; -1; -1; -1; 271955371; 629414081; 184372676; 379623715; 881059318; 800364541; -1; -1; -1; 583631943; -1; -1; -1; 992344076; 824702040; -1; 810664864; 803629409; -1; -1; 201262494; 773323977; 772466183; -1; 859210538; 636860436; 723487464; 566592040; 165169346; 64746434; 283731998; 819512666; -1; 273250777; -1; 363487441; 57596048; 200946771; 293983725; -1; 628249292; 584246899; 328929542; -1; 582714756; -1; 274933376; 633348746; 991328528; 869621499; 756715391; 184808725; 795845845; 942132903; 930568010; 283614826; 825369502; 764011286; 932210363; 581786246; -1; 990807833; 402738099; -1; 677101320; 989994927; 776266350; 499850863; 417704640; -1; 521790076; 556711770; 934919828; 972450565; 104644858; 966925479; -1; 84607646; -1; -1; 257172935; 553379071; 696510920; -1; 56394926; -1; 577148770; -1; 494040929; -1; 730566913; 742010720; 972364571; 895924615; -1; 127524048; -1; -1; 810175482; 284746152; 279042004; -1; 371285329; 336093543; 574259092; 214116066; 887423859; 429686449; -1; 141476602; -1; 84486710; 100075212; 185607134; -1; 397057884; 7609718; 473656471; 768283130; 515096296; -1; 647321535; 608327659; 779269819; 894385897; -1; 219193319; -1; 704440110; 206402819; 863301138; 763369011; 467988683; 899316869; 388864514; 501551607; 868082767; 394653240; 254551595; 165344232; 425410695; 405538281; -1; 832853730; 820294298; 949749175; 987655842; 667015776; 610084472; -1; -1; 742550131; 16474658; 484063552; 709592119; -1; 22424062; 840691305; -1; 411927496; 224623696; 514142449; -1; 357523592; -1; 972174406; -1; -1; 591267809; -1; -1; 811922742; 412586701; -1; -1; 41099668; -1; 365068114; 481344512; -1; 557527296; 142089822; -1; 191229654; 345532180; -1; 246215506; -1; 567107893; 382861185; 915705951; -1; -1; 80716747; -1; 638216364; -1; 339787682; 235554860; 226383964; -1; 868400582; 39833207; -1; -1; 551001811; 67287285; 641777318; -1; -1; 108544027; -1; 365808517; 334323991; -1; 80216335; 213965604; 344507250; 481341279; -1; 160370765; 109006662; 170015624; -1; 978758660; 69485662; 192859188; 22694362; 648502378; 728754870; 752964345; 715091603; 490994911; -1; 591258887; 571079873; 713149074; -1; 166691972; -1; 315581283; -1; 978213058; 399319520; 384319621; 123871937; 77875628; -1; 590746471; 669211061; 280822703; 97592661; -1; 636200268; 577097283; 586988018; -1; 513077971; 9819046; -1; -1; 490388014; -1; -1; -1; 434321418; 778098621; 914117272; 894550246; 395291644; 339696859; 250323266; 542158055; -1; 345056975; -1; 981741771; 516906080; -1; 49033031; 665031634; 399274050; 669727469; 223899702; 577588446; -1; 910505087; 664498568; 846866041; 295752980; 768477087; -1; -1; -1; 293386536; 311826890; 212525405; -1; 162620179; 69425846; -1; 199737973; 800010275; 463739495; 360353117; 453940421; 453003665; -1; 937975957; -1; 838323432; 604962138; -1; 408832576; -1; -1; 447436733; -1; -1; -1; -1; 537769029; -1; 899038782; 393649050; 803076932; 673885712; 1107295; 675558677; -1; 115652054; 129982757; 238187335; 280994137; 652138446; 494141075; 576207713; 830583616; -1; -1; 653314321; 378876777; 918732556; 893364124; 783575681; 73313195; -1; 990287487; 999239636; 178506142; -1; 911588218; 146308706; 501166287; -1; 228426755; 610104434; 739620438; 896602170; -1; 382941320; 468073438; -1; 1134789; -1; 711306295; 391918645; -1; 707598714; 791392632; 842808243; 494570189; 613544526; -1; 589529737; 564633016; -1; 844273125; 791268450; -1; 183239626; 380697440; 844485791; 995924441; 866374840; -1; 326795349; 564086019; -1; -1; 68433461; 837348576; 241204420; -1; 949295493; 816930469; 765319134; 141887901; 280767168; -1; 594887921; 222769621; -1; -1; 594754018; 480975572; 426009786; -1; 770494027; -1; -1; 346404686; -1; 260387307; 481274466; 730663471; 112768346; 111006844; 288059446; 85521811; 985971723; 314871075; -1; 818527160; 499612077; 725614368; -1; -1; 128860380; 791461372; -1; 856934875; -1; -1; 577543123; 939074195; 652840; 233769277; 157338998; 891130369; 830816090; -1; 242171030; 211243795; 401719280; 278969745; 457019107; 355241050; -1; 722919961; 575084278; -1; 58066803; 902575995; -1; 828495271; 39016063; 580036889; -1; -1; 512161194; -1; 200924170; 720618803; 434001501; 173603189; 309705387; 510376367; 434607502; 832631676; 611926915; 697250232; -1; 746888166; -1; 163492871; 678016903; 399991325; 729007907; -1; 443214596; -1; 870180076; -1; -1; 505239703; 760615006; -1; 554997336; 15745646; 745910413; 302685647; 130961151; 33939039; 419313226; 47402814; 342181171; 570717118; 246309890; 347398750; 650681044; -1; 12555092; -1; 60521400; -1; 599306450; -1; 196814132; 523807587; -1; -1; 721899019; 244236189; 266234319; -1; -1; -1; 871168342; -1; 309577858; 653492588; 705807177; -1; 584795197; 13008887; -1; 179688240; -1; 615419434; 639088224; 507819014; 194492768; 417477966; 598428099; -1; 274855297; 746534429; -1; 24048758; 739198820; 250302247; 998054110; 127529030; 435753899; 123797118; 140107154; -1; 870211923; 551546835; 746215219; 310454227; 114036313; 89085348; 904978719; 600291937; 320460772; 292157239; 682363713; 265398667; 569267423; -1; 93778937; 509100368; 478256978; -1; 495561088; 116351785; 245704042; 546918255; 878805119; 791309303; -1; 389758390; 455830834; 701145650; 75116847; -1; 182496894; -1; -1; -1; -1; 692876108; 958498202; 520319452; 290513644; -1; 650211717; -1; 184174330; 857626175; -1; 135601852; 444425177; 341177332; 254658517; 460559203; -1; -1; 84220117; 133209434; 68919397; 851564496; -1; 285360450; -1; -1; 764937962; 309200630; -1; -1; 48513861; -1; -1; 578592716; 510724548; 47380801; -1; -1; 444926312; -1; 26670280; -1; 524646991; -1; 365897850; 960479390; 11256198; 717423070; -1; -1; 241573744; -1; 353058960; 252815645; 24759043; 346974502; 724262761; -1; 654305787; 439273694; 416261330; 58503446; 972527325; 21677896; 922242374; -1; -1; -1; 61932833; -1; -1; -1; -1; -1; 542720328; -1; 104104006; 264408649; -1; 275726311; 358003693; -1; 13081565; 712746366; 531606496; 29876501; 23390269; 800191819; 832951898; 917350726; 788792430; 573303980; -1; 248764539; 409697101; -1; -1; -1; 687695455; 435585249; 839890806; -1; 450779816; 157808807; -1; 250291593; 49384343; -1; 377896587; 344097418; 850634340; 467385919; 874273098; -1; 241941476; -1; 868183578; 769872777; 144854359; 580252312; 357468723; 357059173; 29371914; 121035275; 502276419; 656203611; -1; 425022803; 767766662; 732821607; 739583396; -1; -1; -1; 230466153; 922748381; -1; 204907118; 66574781; 46953102; -1; -1; 203227300; 236840050; 194852193; 160171298; 440764198; -1; -1; 293406608; -1; 425759062; -1; 767485839; -1; -1; -1; 721503441; -1; 286537133; 610576117; -1; 922555084; 97926964; 638377369; -1; 91925541; 345880804; 912518885; 72743549; 454137202; 883273294; 706655715; 509400866; 927512639; 97849084; 692898095; 357749622; 294247967; 892967023; 639070103; 602190868; 205018620; -1; 708817994; 893644561; -1; 713967071; 290190815; 327470266; 915443803; 729400710; -1; 847014550; -1; 44082838; 335384005; -1; -1; 10810132; 717164490; -1; 445370273; -1; 57139305; 821730571; 90092979; 858691756; 728174781; 642579839; 265744266; -1; 542155777; 504519017; 105062881; 805746707; 165731560; -1; 390520871; -1; -1; 166253294; -1; -1; -1; 302810211; 805164976; 790132390; -1; 410912751; 48928123; -1; -1; 649703251; 732221722; 843214709; 991631481; -1; -1; 150111659; 233117988; -1; -1; -1; 140696544; 827003332; 676156625; -1; -1; 39019405; 83628425; 744623367; -1; -1; -1; -1; -1; -1; 892461524; -1; 156777521; 860209252; -1; 968066085; -1; 344645273; -1; 943093318; -1; -1; -1; 755610361; 281821061; 105066855; 894283713; -1; -1; -1; 867911454; 511096698; 279844232; 976993910; 370302068; 692016228; 794097707; 380072642; 14332477; -1; 157738418; 543805568; -1; 320319145; 9225327; 30781570; -1; 626499496; 886989757; 761216662; -1; 199178949; 318902662; 375396951; -1; 700125065; 439408401; -1; 253970539; -1; 298913935; 639833307; -1; 533917553; 135515423; 840714632; 532177715; -1; 643284663; 409662083; 974180014; 23272226; -1; 564816798; 552662103; 79151651; 522362680; 638874339; -1; -1; 438815988; 815320069; 353326669; -1; -1; 148952027; 536963207; 684266009; 86102148; 442435965; 569920465; -1; 63959685; 531164726; 593270546; 438331590; 179455951; -1; 738445397; -1; 375501860; -1; 551815928; 265956025; -1; -1; 861979555; -1; 56393290; 641734190; 462917711; -1; 480348069; 366857961; -1; 494822680; 960026850; 575130163; 67277214; 113950044; 397553612; 295030982; -1; 863379271; -1; -1; -1; -1; 178399584; 227007381; 222593911; 18190489; 407943838; 606388873; 514318373; 988524677; 839159530; 156142777; -1; -1; 581345460; 677063933; -1; 456173527; -1; 48588043; 942810669; 297312725; -1; -1; -1; 335010837; 836932189; 743631533; 901418325; -1; 614641164; 232133166; 905789029; -1; 339481972; 785894727; 223537231; -1; 839017907; -1; 139971510; -1; -1; 144966661; 698832204; -1; 488733247; 596850371; 146332446; -1; 916296383; 564182875; 407870218; -1; 338482117; -1; 438244225; 440331901; -1; 530696316; 201369657; 898557879; -1; 126470807; -1; 294209735; -1; -1; 520909469; 137061663; 860278138; 646953847; 141411701; 653383407; -1; -1; 796179105; -1; 496905478; -1; 22942778; -1; 268574319; -1; 781246797; -1; -1; 570222968; -1; 92702038; 921349586; 641758813; -1; 943785284; 136311487; 798237742; -1; 70759536; 441672531; 317839652; -1; 210489040; -1; -1; 818281648; 654852708; 806651355; 870434675; 987908901; 723925012; -1; 31456313; 985774993; -1; -1; 210778427; 269307878; 981485579; 500922177; 328245937; 429716451; 665879373; 166451898; 512324110; -1; 390241775; -1; 892868726; 204830932; 191251378; 269896936; -1; 259444203; 25691165; -1; 362766323; 532905105; 41846607; 398567042; 815607011; 444141478; 746840627; 522883026; 585892461; 517603340; 851410952; -1; 717576646; 90250178; 318506066; -1; 22590044; 220247388; -1; -1; 411912821; 802356400; -1; 539817085; 243831684; 803194011; 136150871; 547471678; 762379374; 94416849; 322688759; 204767019; 170778657; -1; 964701056; 273640725; 812762206; -1; -1; 465234654; 489425012; -1; 897942428; 402505336; 216758508; 644528393; 629276750; 747972161; -1; -1; 827818708; 882446199; 946858194; 604431258; -1; 661289522; 864299064; 541195495; 24249853; 422219908; 787434924; -1; 689950351; -1; -1; -1; -1; 814501560; 671649113; -1; 239683811; 774076462; 504824620; 655705365; 940005386; -1; -1; 310360814; 852926410; 376162653; 921248307; 210606250; 46274864; 471195278; 966842231; 146515863; 136102955; 17704034; 466686231; 125303227; -1; -1; 495698081; 355120216; -1; 345200545; 634664277; 266625075; 930055069; 468081093; -1; 733259023; 552681039; 661876920; -1; -1; 411291866; -1; -1; 589253462; 771195017; 362346816; 224348454; -1; 303695535; 899707475; -1; 684887113; -1; 24307289; 493335723; 127227943; 628300971; -1; -1; 133717091; 217554746; -1; 462903955; -1; -1; -1; -1; 97853560; 98476157; 666625241; -1; 270301783; 807761535; 212647072; 518505536; 217988115; -1; 465693047; 974318355; -1; 968236242; 500295907; -1; 846763447; -1; 409364378; 529647949; -1; -1; 109759123; -1; -1; -1; 860135706; 583679763; 775005488; 913413538; 644666500; 102963890; -1; 439845621; -1; -1; 418417711; 386244208; 858866470; 546231294; 813210675; 924292212; 520910056; 519103809; 856252220; -1; -1; 689618991; 199804807; 538157214; 968134311; 303367205; -1; 790157235; 104418292; 397379200; 676725557; -1; 917707560; 846324036; -1; -1; 737991679; 933795351; 443340840; -1; 241490389; -1; 88080602; 498754678; 810233136; -1; 733756175; -1; 145516017; -1; -1; 121081828; -1; 47764085; 401059733; 215064673; 540231543; 377154498; 833942636; -1; 730805118; 504905400; -1; 700380338; -1; 708723830; 263076431; 276174311; -1; 275190038; -1; 119095380; -1; 368602739; 309496275; 958475350; 750909181; 134234436; 793420836; -1; -1; 998957833; 163924048; 83624024; 778583428; 234048248; 485895782; 187775628; 182620627; 39235496; 522212098; 930854842; 412831826; 700853754; -1; -1; 932452097; 347189968; 22449973; 429347049; 997130260; 952208350; -1; 797528586; -1; 952224989; -1; 310119913; 829379742; 597474075; 659711090; -1; -1; -1; 725991300; 860702823; 877750765; 436805596; 83047091; 61905287; 91305871; 966247091; 879619555; 83075149; 913042872; -1; -1; -1; 180674362; 248454475; -1; 795093365; 996024251; 128796044; 127369836; 349575745; -1; -1; -1; -1; 558239944; 893703792; -1; 17204141; -1; 749325797; 34217266; 135136570; 702972559; 268615086; 835869275; 430963810; 320905668; 402183404; 802709447; 17681194; 940993545; 381075764; 250127976; 315346083; 535329740; 795233731; 401319806; 369572377; 388302679; 788159736; 120127011; -1; 330050187; 601657397; 403531202; 38115014; -1; 232372073; -1; -1; 214718797; 239859265; -1; 642096687; 238140869; 58161688; 251815102; 838940881; -1; 563840388; 735898475; 476000460; 312428869; -1; 294250346; 376438962; 839453407; -1; 137707003; 439950719; 437568398; -1; -1; -1; 766795057; 337872536; -1; 879137052; 789564880; 532266339; 816331633; 101100648; 13402628; 527975805; 37129917; 48567598; -1; -1; -1; 42978123; 830527669; 105187543; -1; 222764807; 804748261; 542615020; 456435398; -1; 881698834; 591879242; 862099123; -1; 368398626; 809485578; -1; 275639467; -1; 791839242; -1; 583716197; 617598005; -1; 469311606; -1; -1; -1; -1; 152729229; 423380682; 133131274; -1; -1; 948793203; -1; 100291615; 913653020; 291559372; 634429768; 129083742; 915874959; 599342789; 191172093; 265273344; -1; -1; -1; 7563876; -1; 769774093; 380989752; 433037500; 529808571; 117003757; 601255434; 989890474; -1; 102862541; 926692308; 81877013; 110826581; 52079325; 944020166; -1; 673065254; 580055475; 378701297; 301517774; 472047168; -1; 243086880; -1; 83430554; 221373215; -1; 784021944; 235187119; 263648831; 38497336; 134476674; -1; 682239720; 94386245; 671246203; 844643008; -1; -1; 362508991; 95622747; 431983738; 807306776; 422301129; 64111434; 54300081; -1; 468386045; 138903737; 659619589; -1; 186077440; 32985688; 165380300; 589809576; -1; 745341621; -1; 722904599; 300385986; 943869817; 6967700; -1; 621619701; 894069920; 121997953; -1; 633767715; 769122996; 277974605; -1; -1; 72909200; 609350046; -1; 99017037; 349271986; 964883029; 919545246; 279032988; 240442242; 927442130; 994339090; 674393131; 168668215; 720650995; 316442099; 933457653; -1; -1; 641750405; 89810485; 63214650; -1; -1; -1; 224160718; -1; -1; -1; -1; 129795455; -1; 902863776; 719386755; 588042621; -1; 58890438; 925169609; 912498124; 291746657; 161942396; 481384541; -1; 253623250; 990710936; 461335566; 569855667; 544017904; 774752698; 447624503; 121035394; 6545285; 823221937; 789490050; 770157587; -1; 989449727; -1; -1; 684035381; 806986320; -1; 294359602; 42941821; 993639463; 267735931; 896456034; -1; 141825517; -1; -1; 279201517; 812395450; 418447895; -1; 918252693; -1; 436623767; 617663955; 224873504; -1; -1; 762170781; 575088930; 944883923; -1; 465283860; 35313140; -1; 199585740; 740171495; 664660212; 2346991; 707358304; -1; 583613704; 205984721; 333081865; -1; 636697893; -1; -1; 917352943; 591025326; 599823225; 947384605; 303008104; 565370002; -1; 429173859; -1; -1; 793283354; 784248504; 57516718; 761749014; 452704444; 290596962; -1; 755929648; 879432275; 400489304; 864613770; 728791830; 905733345; -1; -1; -1; 572487491; 46645300; -1; 150692277; 809454385; 819370967; 269503513; 86658603; 976715178; 366943502; 553698745; -1; -1; 500558946; 808123033; 999388813; 57532675; -1; -1; -1; -1; 600086532; 548372146; -1; 58287459; 264801804; -1; 993531572; -1; 377126870; 263591993; -1; 330547805; 63287510; 776912550; 529536742; 143499657; 863535849; 271990193; 306188866; 139933509; 338663245; 291307164; 28307451; -1; 911816549; 127180186; 175394136; -1; 372505870; 524453067; 858500553; 931080003; -1; -1; 869006000; -1; -1; -1; 634826433; 662931486; -1; 854959187; -1; -1; 333778421; 771040531; 864846430; 202235413; 416856387; 640712061; 594723432; 789529262; 197124400; 199682085; -1; 449581233; 887031355; 701422419; 864305610; 210421482; 250192001; 878729907; -1; -1; 270298549; 273805590; 15574365; 982569311; 379141351; 829835655; 208574446; 374838871; 969721441; -1; 743742429; 668900313; 113460878; 512474815; 16146770; 98164206; 715589460; 984633130; -1; 34587190; 219006384; 797248640; 227171116; 887525540; -1; 168097893; 348605702; 406172595; -1; -1; 711804312; 634872862; -1; 405648557; 437341500; 372656387; 590035409; -1; 203348766; -1; -1; -1; -1; 327998196; 823013350; 958652773; -1; 21272428; 743590130; -1; -1; -1; 422153725; 272041872; -1; 458134971; 551746254; 434208363; 844761978; -1; 484966986; 458265649; -1; 706174362; 243797713; 284908180; -1; -1; 340377344; -1; -1; 263316420; 161663263; 691253264; 46212457; 525963173; -1; 893572331; 176240374; 981746433; 400493633; -1; 168480044; -1; 369240218; 523254410; 679306188; 146229757; 670698197; -1; 347796367; 141436515; -1; -1; -1; 665146398; 532710276; 809998173; -1; -1; 864844074; 835381874; 812699980; -1; 605040232; 751525514; 640501990; 898215545; 504377039; 677978767; 841718582; 670976630; 786098558; 535169171; -1; 381007467; 449981906; 315254244; 450285833; 572788864; -1; 885991734; -1; 648627981; -1; 356499555; 822326509; 50504728; 375498006; 481781317; 206251439; 2718668; 477217825; 467747427; 665713404; -1; -1; 280327143; -1; 770418826; 457310777; 219752128; -1; 89889240; -1; -1; -1; -1; -1; 311492034; 692771017; -1; 885949449; 229606652; 991114504; 890410599; 487564298; -1; 61524110; -1; -1; -1; 415719372; 647318359; 803097762; -1; -1; 580559593; 428553328; 157757878; -1; -1; -1; 280003078; 965142890; -1; -1; -1; 736066825; 749769737; 168013473; -1; 455479399; -1; 756493201; 101004767; -1; 587320145; -1; 827482485; 612556178; 181446557; -1; -1; 225456961; 581044892; -1; 216813226; 180701489; 75821982; 852825142; 958322249; -1; -1; 242912847; 156956796; 367636340; -1; 223056786; 627996124; 304018157; 289565848; 875426085; 220033039; -1; -1; -1; 497938170; -1; -1; 49112762; 257373407; 931965683; 312235099; 252724395; 322563330; 498488151; -1; 135912755; 474603372; 965655520; 584617078; 347920465; 966442314; 942832143; -1; 803345072; -1; -1; 473505115; 215086547; 779414740; -1; 798391412; -1; 391265471; 661982287; 174452406; 98431156; 33157409; -1; 427180299; -1; -1; 937457402; -1; 279227521; 199174308; 36532797; -1; 531881951; 884565920; 771619637; -1; -1; -1; -1; 991554101; -1; 198868542; 421463659; 319444461; 777659025; -1; 563814575; 179016583; 297435329; 496625364; -1; 519389820; -1; 194787505; -1; 692975887; -1; 788615297; -1; 671753791; 813808256; 141030001; 825692993; 663243097; 974619576; 862936047; 665778668; 754493808; -1; 660057614; -1; 127424318; -1; -1; 389731716; 494868234; -1; 569831674; -1; 19021266; 997121563; 136586381; -1; 375853528; 159798031; -1; -1; 611580422; 366331686; 438828995; 431846620; -1; 458104414; -1; 953196869; 588652626; -1; 684490332; 749870469; -1; 836419187; 392741091; -1; -1; -1; 400828681; 562195855; 610752162; 861288928; 45216642; -1; 637127625; 853237485; 921337205; 199263085; -1; 536128761; 738987628; 352310710; -1; 951480219; 325348391; 900266793; 824132668; 138371883; 260325024; 953490562; 711694551; 376930529; -1; 443787296; 931932590; -1; -1; -1; -1; 298124373; 511966697; -1; 402148006; -1; 457509193; 290098286; 365616923; 129226744; -1; -1; -1; 780816643; 234584368; 311730379; -1; 704595142; 565184241; 811363744; -1; 143287006; 886407873; -1; 354076388; -1; 103469201; 949582552; -1; 788143427; 282097861; 567710833; 16312283; -1; 388101033; 36996111; 484456899; -1; -1; 941063833; 353940464; -1; 158466561; 448274114; 359088807; 495443788; 355691681; 235042710; 973793451; 995289176; -1; -1; 416613548; -1; -1; 714275216; 833221767; 235681309; 666809373; 147354398; 865739692; 303276926; -1; -1; 311849670; 396375300; -1; -1; -1; 22965358; 176647421; 363680262; 745513676; 254283004; 6427485; -1; 280833411; 615327863; 63050549; -1; 381593046; 305020155; -1; -1; 57211477; 819701126; 93228346; -1; 259266065; 860827961; -1; -1; 795501761; 729492767; 610699231; 33580870; -1; 364399563; 983116867; -1; 562420797; 37798240; 536800613; 750067881; -1; 19102782; 326134620; 208714813; -1; -1; -1; 113811797; -1; -1; 318234956; -1; 117595350; 189772187; 965492809; 801602814; 837590921; -1; -1; 751596471; 323833651; -1; 158343418; -1; 50206293; -1; -1; 772400882; 467312194; 827370688; 943237074; 850039273; 167619987; -1; 88202833; 554645999; -1; 563839901; 336004731; -1; -1; 657623741; -1; 271879987; 212680118; 731206583; -1; 448567696; 935489611; 855750917; 956898067; -1; 928714143; -1; 225833791; 447105911; 218708528; 293082668; 144179959; -1; 191169306; 665578816; 452379586; -1; 647860220; -1; 181846880; 626366781; 253775347; 429054872; 950244421; -1; 653924745; 130847222; -1; 894657403; 33479121; -1; 735494532; -1; 627637825; 184300794; 255104607; 708019429; 665101352; -1; -1; -1; 134716257; -1; 921964020; -1; -1; 281861835; -1; 657870732; -1; 171542908; 535670039; 302614458; 254790041; 826865832; 35284502; 905632804; 815197455; 640278179; 119797792; 733286157; 272933226; 577355878; 800482888; 791408723; 429897952; 947526912; 423731107; -1; 933327846; -1; 737445537; -1; 382612946; 289304049; -1; -1; 106982028; 160370965; 435605966; -1; 488956492; 775658222; -1; 625263965; 480437597; 947159786; 314195869; 92065458; 201606073; -1; -1; -1; 621331461; 720942581; 74431230; -1; 26643054; 262922953; -1; 615599352; 200465620; 813695771; 404640843; 732504249; 411295971; 519437774; 619648865; 126193277; 548687099; -1; -1; 32177348; 520657358; 223864754; 552359976; 52291872; 632789130; 799954500; 283779880; 866690353; 581623747; 684197443; 919112446; 74592607; -1; 821440325; -1; 25640238; 482207896; 423323716; 768209207; 288243551; 216521439; 473871943; 739445161; -1; -1; 370155594; 93508545; 423490606; 736479352; -1; 154089823; -1; 10356443; 378081645; 356128269; -1; -1; 74494638; 609842325; 438417257; 295710595; -1; 173117843; -1; 492246189; 767731630; 917460294; -1; -1; 497048721; 444958267; 189505043; -1; -1; 298231014; 780254673; 707008369; -1; 240042343; 387682474; 21005729; -1; -1; 211850112; -1; -1; 124011797; 450865627; 765417128; 480935860; 447919108; -1; 905782491; -1; 98558805; -1; 661629524; 312218358; -1; -1; 467013030; 190092561; 688948428; -1; 433931263; 328006454; 887485094; 865051493; 435113546; 323488978; 556003616; 421822670; -1; 436369246; -1; 579084724; 665355891; 966494386; 420845803; 742464845; 179129849; -1; -1; 655909570; 363188895; -1; 175764312; -1; -1; 972014039; 744930857; 814889448; 150359; -1; -1; 760956197; 29193577; 242123913; 55058322; 366835397; -1; 682725515; 285248023; 566812417; -1; 200402827; 789958674; 489446975; 220868178; -1; -1; -1; 327499231; -1; -1; 75962693; -1; -1; -1; 487501483; 873099753; -1; 325530811; -1; 615185046; 16822787; 495442310; -1; -1; 93961669; 962686374; 173882518; 455166888; -1; -1; 557285689; 615596332; -1; 854783369; 962888856; 60340736; 230931171; 320353231; 522734492; 864207578; 760742269; -1; -1; 240283604; 900867446; 476078596; 230762353; -1; -1; 832667006; -1; 223081632; -1; -1; 512270351; 7482283; 937013092; -1; -1; 592964080; 135508459; 120825819; 301362593; -1; -1; 129974211; 704188985; 551767163; -1; 244086143; 664490166; 667203965; 357380816; -1; -1; 449030522; -1; 372910472; 11232755; -1; -1; -1; 605315061; 671308932; 245148682; 224035351; 655201812; 366775819; -1; -1; -1; 630902289; -1; 156287310; -1; 113044914; 382178951; 358521748; 722955954; 70679715; 683143909; -1; 791446071; 76296312; -1; 164215944; 952100864; -1; 27571229; 545719534; 870699134; 600924684; 280537589; 384571071; -1; 424966439; 163821850; 676701510; -1; 432947869; -1; 568082596; 514273950; 557101590; -1; 356965178; 459006454; 503333491; 672979681; 687262735; -1; 53884614; 257443428; 970036791; 863262345; 90441201; 217382772; -1; 26419262; -1; 414722027; 256976141; -1; -1; 45977825; -1; -1; 784582369; -1; 147709479; -1; 287965008; 858852063; 186288768; 639910709; 990229795; -1; 207939975; 653954; 748231493; -1; 484731937; 781120449; 9626679; -1; 337773198; -1; 108137548; 136203157; -1; 738066914; 246818715; 540399928; 877902326; 431427197; 118218447; -1; 687092822; 628484120; 629942803; 324402574; 770489960; 341469155; 325495465; 475241803; -1; -1; 394754897; 51484987; 962014231; 844688279; 831637126; 292143800; 688975174; -1; 146403554; -1; 354802838; 935007710; 542035474; -1; -1; -1; 228437325; 627934713; -1; -1; 929019810; 818010699; -1; 686879968; 707136171; 690228268; 159569891; 402041901; 909747758; 729499010; 32560029; 359318865; -1; -1; 551083992; -1; 53529099; 523729665; 975509299; 963502731; 109559581; -1; 340090130; -1; 539922263; 895488915; -1; 16437392; 908046858; -1; -1; 742841915; -1; 552448493; -1; 387884803; 872850039; 307594371; 343020643; 689897007; 700885308; 570976505; 339327425; 727357528; 699614270; -1; 286273733; -1; 802434699; 165093280; 566423933; 852209594; 586336663; 963362513; -1; -1; 353459408; 928753633; 564960989; 20231433; 453413159; -1; -1; 912078756; 784016618; 66000956; 643499186; 828822765; 629770591; 552955374; 469019177; -1; 788410766; 354616808; -1; 105454094; -1; -1; 471205484; 772129847; 733045996; 718506901; -1; 320956178; -1; 111110744; -1; 88818427; 550450471; 500718127; 824084148; -1; -1; 480160811; -1; -1; 276319374; -1; 905808645; 261478166; -1; -1; -1; -1; -1; -1; 595289593; 886111151; -1; 506659802; 614577583; 489321712; 433671577; -1; 852513605; -1; 89914749; 595325920; 43980283; 148800512; 277076191; 743163937; 116836428; 912647543; 688705020; 264034096; 994193034; 677718264; -1; 622807270; -1; 764425482; 66106688; 750498344; -1; 774503769; 237373412; 53610205; 185097033; -1; 173841518; -1; -1; 506030326; 310182016; 319025562; 528393763; 127208761; 643569636; -1; -1; 709201817; 856778871; -1; -1; 250708616; 23114675; 846025631; 51326210; 289162473; 42065347; 987062581; -1; 908555877; 118964383; -1; 649343556; 690224659; -1; 890549712; -1; 149473812; 376497789; -1; -1; 535574377; 876384627; 121558753; 767456226; -1; 896990482; 774058340; -1; 274725708; 155986901; -1; 572592647; 274805465; 928371196; 233258812; 937254637; 180685635; 800062413; -1; 429371366; 486087804; -1; 384679000; -1; 979281711; 275567320; -1; -1; 258703305; 558880637; -1; 773473317; 594795726; 102321858; -1; 536297477; 192983387; 966151268; 636637576; -1; 170935754; 603945261; 704664696; 769655904; 738971640; 918522769; -1; -1; 456342762; 876192278; 69576616; 445410431; 627599873; -1; 964597181; 804789741; 601062736; 516677976; 949168898; 790709855; 77492092; -1; 209073549; -1; 833881740; -1; 728476807; 596853876; 959591440; 770246952; 832181727; 764294730; 693445954; 772665248; 655840784; -1; 868552093; 207117899; 616509749; 720828155; 372673984; 915236363; 436759919; 287085627; 986126387; 815960198; 1857148; 223514389; 522722815; -1; 751424230; 521170326; 872737912; 319276042; -1; 291700337; -1; -1; -1; 55193932; -1; 395872855; 551653216; 815609088; -1; -1; -1; 343928260; 852264492; 905465649; 990117499; -1; -1; 21842642; 562504860; -1; 623172168; 122120325; -1; 856836670; 184309950; 145004648; -1; 3346728; 50702099; -1; 386089966; 929708045; 730331892; -1; 532179354; 487334365; 44962485; -1; 926191176; -1; 202245468; 80968352; 273988238; 811500581; 843504142; 366406848; -1; -1; 819072983; 803582986; -1; 786875586; -1; 405833467; 753210148; -1; 947247664; 270691918; 772666333; 630822580; -1; 992009330; 878849055; 319544054; 914649853; 711705108; -1; 967567132; 71265879; 99486373; 177062439; 901502316; 354520455; -1; 132868888; 348208279; -1; 61440207; 317996960; -1; 339174717; 500005033; 5383027; -1; -1; -1; -1; 318087222; 930554789; 630898173; 442067753; 855842860; 678312710; 909402756; -1; 561292976; -1; -1; 438124072; -1; -1; -1; -1; -1; 14497778; -1; -1; 710524513; 293246371; -1; 712928131; -1; 975092142; 241451308; -1; 44464954; -1; -1; -1; 877190100; 346980571; -1; 896922037; 133980750; -1; 698970308; 245192511; 865979781; 469631794; -1; 102214708; -1; 509071908; 57966830; 733911536; 237881723; -1; -1; 220986629; 373936804; 655561046; 989702152; 83326886; 219001677; -1; 1500008; 508136368; 381739901; 461644258; -1; 918489570; -1; -1; 818905864; 675579976; -1; -1; 423524498; 87862958; -1; 450035441; 285913927; 782967819; 931843680; -1; -1; 142904973; 638486216; 626815193; 984766411; -1; 317982843; 333583572; 346222362; 25308583; 269041269; -1; 72247185; 22689032; 427560850; 750355708; 977400238; 92640267; -1; 309800301; -1; -1; 619882823; -1; 709670638; 765199832; 642043937; -1; -1; -1; 954106389; 979810871; 608487333; 538210325; -1; -1; 263464464; 562692179; 542246290; -1; 714937803; -1; -1; 219617888; -1; 531813194; 949477859; -1; 457097211; 344130016; -1; 397795730; -1; 590302213; 34239404; -1; -1; 943343798; 964087080; 120324063; 316147705; 625220445; 442639120; 278640376; 239529974; 931621831; 902939710; 607960761; -1; -1; 200885789; -1; -1; 284220480; 29977423; 834386197; 270464727; -1; 392859606; 533263784; -1; 329551626; 857844880; 437373765; 400871608; 710567444; 524143637; -1; 699878481; -1; 926037651; 614186325; -1; 475968334; 825756038; -1; 751054731; 903497490; 602889934; 500677897; 22919822; 658161584; -1; -1; 685734978; 420169807; -1; -1; -1; 961377141; 936568959; -1; 940843840; 844061051; 260756827; 700829750; -1; 487678644; -1; 912060499; 172365782; -1; -1; 99399451; -1; 264340836; -1; 902482005; -1; 182031980; 746030805; -1; 521564364; -1; 780823350; 861589049; 4705334; 500168361; 931868918; 227008339; 487922993; 236518317; -1; 517614076; 337427730; -1; -1; -1; -1; -1; -1; 786104907; 477439364; 270806337; -1; 716456335; -1; 62992210; 908775002; 403129830; 550372683; 328229727; 626597337; -1; 388900806; 999890020; 480197785; 890420689; 369240352; 174078018; 198419332; -1; -1; 477404916; 738489371; 802165221; -1; 878887490; -1; 731885933; 49409146; 251976178; -1; 714139946; -1; 309347334; -1; 811388995; 58509779; 511493263; -1; -1; 350845517; 640817441; 961774997; -1; 147498232; 456297821; 855502788; 413887396; 923423538; 802227237; 419719873; 599425572; 798408425; 426864705; -1; -1; -1; 152571816; 313599696; 562954669; 556503842; -1; -1; 686598991; -1; 468114310; -1; -1; -1; 238711141; 440842445; 611642165; 228785701; 243693583; 540684965; 807593652; 819728207; 227588809; 310840183; -1; 729604219; 636193174; 161177963; 248726365; 514731916; 441730046; -1; 67189187; 755233567; -1; -1; 434577538; 15051243; -1; 773942260; -1; 692499846; 74508667; 777089038; -1; 579836136; -1; -1; 609932023; -1; -1; -1; 461509339; -1; 675048328; -1; 751618623; 548068759; 708654458; -1; 42841922; 950080120; -1; -1; 394562065; -1; 369937857; 494104752; 978224207; 182907636; -1; 620311751; 53688274; 491891570; 6653929; 495641384; 70393009; 857664996; 522855645; 278006869; 322708400; 180386276; 999729480; 66886316; 194057631; 462273872; 902620584; 119605659; 13264706; -1; 252686568; -1; 76348227; 777479194; 622744053; 328908974; -1; 809302696; -1; 876795190; -1; -1; -1; -1; 284247508; 756546713; -1; 414725364; 52052281; 199882847; 376526993; -1; 580145516; 298385612; 717780209; -1; 997353811; 579149703; 12252470; 715117557; 64155050; 819174252; 10488212; 522062642; -1; 862406254; 460756555; -1; -1; 293175381; -1; -1; 275610602; 532674218; 240666984; 889624390; 465823156; -1; -1; 100595205; -1; 17255865; 624029775; 364539724; -1; 207883610; 396448619; 713622512; -1; 993591733; 249519912; 774564375; -1; 569438270; 447885060; 98406732; -1; 348732968; 367218230; -1; 757368270; 315039494; 156348778; -1; -1; 926519395; 807849068; 245918785; -1; 454494848; 952074911; 345751244; 169263586; -1; 26989698; -1; -1; 587331945; 668475488; -1; 766542816; -1; 290359697; 861489503; 751583033; 341561135; 489519091; 577619930; 683612106; 301176716; 955072467; 120989247; 718822182; 52950545; 127619919; 715077487; 203478796; -1; 91736514; -1; 158032276; -1; -1; 159854643; -1; 871473987; 455068423; 173168758; 455862679; 947940412; 869338642; -1; -1; -1; 805373647; -1; -1; 894649627; 302784580; -1; 432700643; 770006584; 282645711; -1; 465120140; 518939098; 290284959; 525301786; 762736448; 253200288; -1; 101826496; -1; 41877416; 135797209; 201039601; 180116568; 843769344; 373971252; -1; 149542910; -1; 453573347; 348841521; 413406793; 939700936; 589775818; 182735609; 910099735; -1; 351917983; 201284583; 912697784; -1; 514665164; -1; 520384341; -1; 244891841; -1; 26179184; -1; 743385127; -1; -1; 810757116; 678471798; 894986412; -1; 458352157; 459951959; 809057572; 436654299; -1; 595463763; 233927289; -1; 656095832; -1; -1; 920121035; 185797453; 651842849; 920718415; 824206667; 602203524; -1; 484730888; 164964571; -1; 482725592; 699125247; 50236691; 634952455; 399846961; 493725305; 373183348; -1; -1; 72614836; 368377699; 368521793; 545963063; 488480140; 131054901; 714521287; -1; 17583884; 900206525; 586967919; 997347877; -1; 313730793; 612976288; -1; 31247748; -1; 831702199; -1; 838653875; 93930754; 732510353; 455181155; 492363345; -1; -1; -1; 471738826; 340104352; 633898889; 308673394; 514891992; -1; 719205942; -1; 253116389; 928285988; 441633804; 502717452; -1; 450338721; 893379273; -1; 450100178; 619211087; 119397597; 291574224; 984974100; 382378939; 979019104; 346745452; 966882459; 356235012; -1; 541408204; -1; 158865604; 134156728; 818105957; 816266449; 297627667; 50264850; 89345149; 102187370; 195889048; 863149334; 984052644; 146384148; -1; 472643394; 941102978; -1; 973396281; -1; -1; -1; 27644208; 113750084; -1; -1; 486328297; 143265975; 390316128; 311865113; -1; 970746202; 224218797; 902836668; 150413805; 295222503; 248568994; -1; 52117499; 678340825; -1; -1; 731329782; -1; 210918172; 669600710; -1; 945221010; 637746872; 605746715; 329180803; 970798214; 886527007; 335734350; -1; 791395599; -1; 439790320; 49905386; 330519777; 647771527; 412448759; -1; 639848607; 382295560; 466848608; 281846585; 122251411; -1; -1; -1; -1; 303962603; 505011687; 439032299; 66860453; 74031654; 43643207; -1; 835353895; 294972190; 925712310; -1; 51918433; -1; 353966432; 932428375; 400495129; -1; 720597558; -1; 12662401; 638344440; -1; -1; 79916271; -1; -1; 63363756; -1; 324455705; 976222810; 874196423; 646581807; -1; -1; -1; 417543789; -1; -1; -1; 351785415; 871827787; 811307282; -1; -1; -1; -1; 837537113; -1; 518337589; -1; 863275303; 859713713; 402142039; 772651859; 351359116; 176072710; 554303536; 461945624; 939539923; 223204409; -1; 798214599; 410074447; 375979550; -1; 540821314; 696016227; 420925843; 778868465; 505893075; -1; 708541116; 232612517; 421712101; -1; 325152504; -1; 400226020; 873204670; 952972973; 721616987; -1; 38644047; -1; -1; 929271991; 915988173; 287385793; 938112557; 429729430; 484242502; 28149909; 903709313; -1; 153385846; 527691035; 130909510; 607272702; 45699181; 578142666; 740892375; 339497605; -1; -1; 995317291; -1; 953936050; -1; -1; 398054324; 88904704; 804593616; 602196036; -1; 378025051; 654566231; 898310659; 270656558; 975661629; -1; 812706021; 844700577; -1; 894203557; -1; 363585458; 327328063; 6289297; 568170939; 125435068; 980726723; -1; 242232578; 512276351; 99556057; -1; -1; -1; 131105535; -1; 130312347; 695221138; 498240098; 325059196; 600826822; 688594894; 36883935; -1; 335637093; -1; 189676419; 252936330; -1; 189480644; 31895074; -1; 911816103; 876193572; 619603806; -1; 156210002; 23142620; -1; 908552222; -1; -1; 269587457; -1; 540411857; -1; -1; 256904383; 24302742; 479442119; 320573441; -1; 528209122; 764077943; 992483711; -1; 985902060; 655686065; 473791404; -1; 599795167; 317773317; 587495908; 675338781; 886835281; 256182816; -1; 289486935; -1; 306831989; 814022012; 573915741; -1; 812622287; 284434448; 843903808; -1; 158749046; 560106015; 276449086; -1; -1; 865417180; 917747677; 567713867; 455220766; 634557514; 217459052; 433955327; 281026561; 13610863; 663885382; -1; -1; 159845855; -1; 854841178; 351660050; 425126040; -1; 356959958; 290535019; 446439720; 960308294; 703907802; -1; -1; -1; 565997565; 989057826; 2336848; 620589393; -1; 703202686; -1; -1; 69599053; 341599507; -1; 403547999; -1; 888079068; 966340741; 627936130; 228539704; -1; -1; 984327722; 935182824; 746011286; -1; 502823703; 945412984; 794760524; 833973175; 775801795; -1; 908396966; 296459980; 68239565; 377463607; 255963148; -1; -1; -1; -1; -1; -1; -1; 821581469; 482043551; 444661236; 847654667; -1; 8027783; -1; 255111253; 81974765; -1; 168159378; 655181119; 780799423; 305585042; 328865813; 112017856; 162164360; 157360764; 140677461; 659619792; -1; 959497958; -1; -1; 960701403; 73287672; -1; -1; 685148533; 999951885; 19981886; 90734663; 409020547; -1; -1; 630125850; 396642053; 900898118; 536235577; -1; 22593788; -1; -1; -1; 247990172; 272328292; -1; -1; 120040293; 174206122; 357040521; -1; -1; -1; 800882129; 856760138; 951681972; 539766914; 904160377; 373854903; 617391260; -1; -1; 787777784; 291093187; -1; 365028588; 899866885; 876928974; -1; 783792345; -1; 652466193; 763804184; -1; 727301895; 915468878; -1; 499410325; 115352480; -1; -1; -1; 851519777; 996851850; 288694287; 432232837; 45662842; -1; -1; -1; -1; -1; -1; -1; 529075621; -1; 6743763; 655259062; 523355914; 415476824; 892582521; 408591689; -1; 495007541; 11409476; 165307073; -1; 475729616; 752062983; 69308671; 774083444; 351348845; 68760594; -1; 862477367; 667953056; 882699132; 753824813; 109349830; -1; -1; 168602449; -1; 91896015; 474248000; 11567462; 424497060; 720834363; 122097815; 170939940; 694375483; -1; 390663834; -1; -1; 121381580; 591474374; 514357513; 14572177; 985750380; 54395008; 347703365; 208824327; 964373516; 309316161; 339964431; 37632463; 740452406; -1; -1; 17027169; 497835892; 564967859; 120101920; -1; 276038581; 633609872; -1; -1; -1; 975093456; -1; -1; 426626721; 210458654; 144811956; 470754711; 275041073; 774414787; 940658545; 695563067; 395591214; -1; 659640854; 182133803; 654769714; -1; 270502245; 799564351; 884831881; -1; 291423863; 627721759; 745392917; -1; 534116566; 3134423; 631302650; 651927899; 300202375; 120041022; 537016459; -1; -1; 421664046; 24774364; 245710685; -1; -1; 881702193; 862370199; -1; 303436260; 42599266; 871794819; -1; 167314761; 699630310; 172551897; 806025291; 285034983; 266549272; -1; 269875574; 47985178; -1; 174464207; 684387205; 979369169; 705211930; 311162513; 602188740; -1; -1; 44671779; -1; 933508515; -1; 265689620; 774345710; 708809146; 969665113; 353353132; 144616943; 899384272; 550320909; -1; 163827967; -1; -1; -1; 81872461; 777050788; -1; 775663732; 489313432; 342272839; -1; -1; 592500106; -1; 65535944; 902463274; -1; 786184539; 71348287; 904518574; -1; 318931539; -1; -1; 853463137; -1; 757254746; 835736428; 838550408; -1; 364924009; 932124063; 987289351; 234437367; -1; 185025074; 244382552; 840616002; 860638044; 561785418; 116692806; 891088960; 585116299; 100397024; -1; -1; 98639711; -1; 568841589; 508524760; 216230003; -1; 213228698; 468246665; 360969616; 238768419; 129303536; -1; 918388179; -1; -1; 156143944; 604385060; 662982787; 726144361; 790872342; 845489243; 839304465; 160677911; 533981662; 653223568; -1; 283252385; 390397534; 210910831; 457715377; 764299973; 513094505; 350734017; 858084799; -1; 100983917; 559643783; 690602656; 508376785; 699228062; 341867939; -1; 170473126; -1; 433031702; -1; -1; 429795346; 961129707; 384436830; -1; 946517584; 797189758; 556801419; -1; 249858343; -1; -1; 143838850; 57781859; 791647088; 205786362; 918739379; 638172411; -1; 490373988; 322383092; 93464606; 309977842; -1; 785922327; 160205966; 250279668; 298593576; 155165784; 858063008; 96917574; 882285242; 676687209; 332104024; 63327415; -1; 250060494; 46210446; -1; 134158586; 591075188; 892390610; -1; 188034808; 845460182; -1; -1; 222203324; 411348843; 336920539; -1; 187127865; 824904907; 849239758; 503398423; 399424145; -1; 188496382; 111099419; 628414494; 773730836; 735097792; 145064520; 489178872; 681328526; -1; -1; 988940907; -1; -1; 599864281; 385165019; -1; 646780376; 718662162; 268178614; 616951655; 685085150; 678336491; 951985635; 698598112; 521690153; 396883552; 957055881; 218405676; 82641208; 919951156; 376461498; 892276264; -1; 154329611; 649489561; 653734675; -1; -1; -1; -1; 53032496; 842151917; -1; 746276614; 825838868; 166912462; 836495252; -1; 905128225; 685744687; 178928572; 306110862; -1; 408404449; 510721179; 206536469; 808083801; 368363297; -1; -1; 956686551; 115167984; -1; -1; -1; -1; 625115207; 810915087; 319191756; 20746837; 580205172; 733156426; 568666123; 733441832; -1; 450008070; -1; -1; -1; 421148053; -1; 24755808; 634420827; -1; -1; 732638748; -1; 527491129; 187004595; 950475455; 793563057; 291284765; 225652988; -1; 844374840; -1; -1; -1; 171409084; 838004596; 330960006; 289054667; -1; -1; -1; 317718001; 300437328; -1; 12476668; 46787678; -1; 501340305; 820367329; -1; 6172234; 799506359; 145466717; 514922415; -1; -1; 572421907; 640196440; 631784862; -1; 415734847; 628618344; 750435063; 235799891; 845783807; -1; -1; -1; 258005654; 142205581; 699749561; -1; 962340313; 507135896; -1; -1; 304908333; 159242499; -1; -1; -1; 743172441; 419699092; 127269488; -1; 433658122; 503251311; 500734201; 563615696; 688694285; 409728563; -1; 551320624; -1; 907261431; -1; 217388766; 356301032; 579694820; -1; 990192731; 752643233; 730129750; 191871528; 846805270; 99570628; 352982092; 648444644; 36367970; -1; 982350324; 448179639; 920402921; 509107748; -1; 815188261; -1; 198770510; 205629922; 506722266; 600032441; -1; 351753324; 790989334; 801822741; -1; 828883201; 32359161; -1; 91262061; 379922195; 187955864; -1; 970787653; 592076203; -1; 33216090; -1; 935980351; -1; 145814529; 441226544; -1; -1; 758374047; 49897451; -1; 661830298; 658719547; -1; 899309651; -1; -1; -1; 694320038; 431503205; -1; -1; 991197829; -1; -1; 648006336; -1; 66084425; -1; 396326385; 157666255; 325660719; 742620665; -1; -1; 865127899; 971332212; -1; -1; -1; -1; -1; 463929295; 693603517; -1; 406403027; 910005717; 9886694; 906005651; -1; 437552189; 603543886; 892486168; 758292591; 472207518; 751277851; 196878294; 376574794; 86307129; 721644114; 389176233; -1; -1; 620358782; -1; 716905420; 719254843; 215870388; -1; -1; 868571933; -1; 912725094; 478750359; 398643720; 56197160; 188516046; -1; 68332056; -1; 742029352; 118605269; -1; 900797932; 107306248; -1; 274449925; 11084677; 521649657; 481092418; 589164964; 632720356; -1; -1; -1; 334692384; -1; -1; 993641355; -1; 355475504; 135533028; 449534795; -1; 63215395; 671704095; 704848522; -1; 229036427; -1; 590263120; 244662248; 868693471; -1; 243749720; -1; 894100567; 553397281; 392531838; -1; 705784965; -1; -1; 987261727; -1; 427637538; 206607588; 324174172; 512481290; -1; 613510464; 740832210; 494126185; 896188955; -1; -1; 979592539; 50653985; 895878961; -1; -1; 585560247; 284076204; -1; 487085431; 877680065; 257665039; 216048766; -1; -1; -1; 624911849; 385298027; 69616590; -1; 76487812; -1; 356448969; 950866983; 153311866; 297748007; -1; 608254738; 830749362; 989593090; 567242137; 484841974; -1; -1; 733729868; -1; 247867197; 580814933; -1; 401811368; 740267907; 644701661; 232599584; -1; 821730959; 293185732; 665172224; 834233333; 77001010; 612231340; -1; 704325701; 415752106; 788852561; -1; -1; -1; 707631843; -1; 18778699; -1; 384765111; -1; 137161387; 90030666; -1; 409271078; -1; 342044262; -1; 653689098; 562273995; 471287235; 412439342; -1; 72325877; -1; 93901085; -1; 233093270; -1; 140130110; 411013418; 869467788; 707651648; 268278308; 968038630; 458425862; 12732998; 241521521; -1; 147917105; 170880065; 498468086; 646304792; -1; 524661064; 683566189; 795122935; -1; 658590115; -1; -1; 404891372; -1; 287887750; 586668143; -1; 770293857; 893434571; -1; 330500084; 939960657; -1; 807605141; -1; 383434991; 660343585; 893495338; 405808618; 199445211; 924857610; 618356969; 40695160; -1; 259630945; 495820853; -1; 726356482; -1; 579915456; 469876066; 539673616; 330981228; 338653659; 762294301; -1; 381866837; 565689162; 431389700; 328866296; -1; -1; 439387476; 932801686; -1; 59896105; -1; 51462587; 267966128; -1; 588107496; -1; -1; 373684841; -1; 281742391; 2516365; 163812769; 455704597; 84897730; 336710980; -1; 727094625; 980900531; 177050587; -1; 124663272; 503791143; -1; 658723375; 710275463; -1; 478136025; -1; 815772499; 482047610; 545971134; -1; 370556313; 675099776; -1; 569697747; -1; 11549190; 98681367; -1; -1; 337424113; -1; -1; 84094032; -1; 485510387; 591259066; -1; -1; -1; 241194990; -1; -1; 838061265; 475221632; 111901278; 802627392; 756671743; 968358457; 526407977; 78652377; -1; 911223151; 898766719; 93648724; -1; 664661657; 661307545; 401922816; -1; 467284774; 272269046; -1; -1; -1; 133418790; -1; -1; 450686172; -1; -1; 648476877; 207561418; 732869298; -1; 26512545; -1; 173706882; 155721898; 93441200; -1; 286999006; -1; 351528383; 75314305; 727302042; -1; -1; -1; 837429225; 234014843; 783571517; 277370798; -1; 56265011; 880898152; 207351167; -1; -1; 697004654; -1; 640874590; 787778565; 734867628; 701359145; 237041402; 44446135; 564424444; 906193633; 329583851; 925010707; 371620677; 701579551; 774288186; 579183783; 585802538; 673996731; 869641151; 462373176; -1; 329313392; -1; -1; 32587530; -1; -1; -1; 412531796; 643548689; -1; 989868667; 172492600; 58998970; 528114125; 296734906; -1; 722847535; -1; 995496311; -1; 175550624; 372102385; -1; 371380061; 368448698; 555527344; -1; 827116203; 359797321; 956423683; 950334410; 849685241; 350272762; -1; -1; -1; -1; -1; -1; 620512182; 437751253; 642447547; -1; -1; 220084824; -1; 517427266; -1; 552473865; 552654879; 665611293; 744430456; -1; -1; -1; 872903843; -1; -1; 775015802; 210669751; 144703424; 368595504; 386810061; 27609050; 60057627; -1; 442370150; 239347052; 83055724; 255187617; 668716144; 449144017; 616427681; 987931069; 664883526; -1; 187524869; 112101201; 322989691; 817191244; 748511118; 152809731; -1; 502696761; 24350175; 676222247; -1; 193123270; 556626677; -1; 974504168; 211300563; -1; 113631193; -1; -1; 661596556; -1; -1; 495593662; 837690313; 924225690; 75374831; 885679162; 488269173; 444665995; -1; 745468012; -1; 50290101; -1; 646045786; 282793907; 925236568; 38977923; -1; -1; 725110971; 57502182; 185599882; 17295538; 41112974; -1; 238410236; 681788629; -1; 807208829; 639642877; 56159685; -1; -1; 189572648; 972806966; -1; 611267371; 305222237; -1; 440494041; 267339773; 277530098; 229647706; 256433025; -1; -1; 962210579; 86528596; 910551693; 649992138; 765738926; 680707454; -1; 451846660; 539687021; 430930427; 908157566; -1; 670253828; 94497064; 959495478; -1; 764683753; -1; 981846491; -1; 864008537; 869658876; 738526659; 469908163; 553795718; 473943461; 756873725; 537998057; -1; 933679363; 221732967; 509310101; -1; -1; -1; 491686061; -1; 396095283; -1; 696486166; 869451990; 344017658; 127387353; -1; 616001404; 893125721; -1; 595246401; 977503120; 892420605; 181609890; 111526762; 905227226; 689173283; 595319408; 712495115; 48100827; 429965954; -1; 183494313; 299172133; 312296714; 192932514; 211231012; -1; -1; -1; 166590440; 540274213; 907051829; 598331043; -1; 752130208; 543690723; 869258493; 948250397; -1; -1; -1; 442008735; -1; 480314419; 923876895; 299112914; -1; 788171344; 991138394; 152632380; 507046946; -1; -1; 653879000; 695123682; 181950224; -1; 240977341; 618592997; 394311238; 253972943; 993575626; 723672675; 689481579; 613355252; 205202455; 95068165; 241653245; -1; 951047189; 458449650; -1; 815505559; -1; 712110915; 565572770; 838242708; 805668521; 576848794; 519165790; 850770388; -1; 287979058; 838796178; 63425724; 506670444; -1; 451978051; 125530637; 868915171; 799324966; -1; 121482752; 676553148; 504819364; 252233948; 301972434; 331838117; -1; -1; 416939718; 965227844; 11545043; -1; 778947724; 622915253; 382920296; 894384999; 784391823; 906796762; 355638021; 738423410; 210027641; 696804164; 278614893; -1; 60172959; -1; 632477577; 353391492; -1; 971941940; 234617273; 68813037; 221223457; 868108837; 76501354; -1; 562054482; -1; -1; 59287725; 952154987; 33582514; 300847754; -1; -1; 689526852; -1; -1; 742026848; 883850772; 812491291; -1; 204007035; 272097253; 964738234; 845806359; -1; -1; -1; 994740427; 112478477; -1; 7399083; -1; -1; 42732554; 191898330; 523860002; 124388888; 458205364; -1; -1; 212908217; 54645844; -1; -1; 444599600; -1; 752580515; -1; 313231986; 757471719; 242595651; -1; 842935044; 170569148; -1; 753089944; 771500688; 910023007; 185889011; 776193927; 976487606; 670668564; -1; 367868856; 948261231; 323777076; 108304993; 181190242; 670059465; -1; 184574808; 905356040; 804711431; -1; 95846474; 162814490; 943766982; 705624556; -1; 171014823; 137828179; 52559601; 218141807; 397103044; 341820096; 458073654; 864757748; -1; 698287460; 667566663; 562939099; 369950106; 281996534; -1; 67182976; 704087446; 590659217; 643715652; -1; 63708986; 458029704; 509589890; 514437941; -1; -1; 822052968; -1; 980603024; -1; 498008946; 943506742; 611177219; 716029818; -1; 390678124; -1; -1; -1; 918912182; 961626868; 788407529; 383570426; 431890257; -1; 47423693; 55401036; 199193407; 903104992; 992505501; 264205942; 602139823; 29453139; -1; 676575636; 720441128; 740285258; 823142711; -1; 612170163; -1; 665619946; -1; 747060533; 302166890; 199274901; 714808311; 650769793; 732045094; -1; 144168951; 580401425; -1; 841591817; 761416253; -1; -1; 739781709; 698830273; 434408824; 877040275; 84379610; 923634792; 744171695; -1; -1; 365591793; 772854384; -1; -1; 25934211; 31979; 776646989; 790326541; 354203704; 960042673; 467353784; -1; 240556334; 942457589; -1; 235725979; 133371148; -1; 936312175; 370905350; 387319522; 53994576; -1; 149787504; 593033165; 705760796; 637003070; 596092032; 650363378; 298437820; 585143279; 249985719; 966479521; 482683595; 584800459; -1; -1; 432380325; 506874885; 439673014; 747244357; 372970320; 740957536; -1; -1; -1; 89561719; 345742717; 399313246; 973998179; 707440274; 778996629; 731594669; 984717549; 876871902; 292257072; 399911222; 1758281; 247284199; 348827240; 367884016; 52837963; 366738970; -1; -1; 242609187; 369162804; 660286699; -1; 45178748; -1; -1; 156923848; 708182668; -1; 246011833; 348399317; -1; 736559431; -1; 285811093; 158306521; 690070492; 112950430; -1; -1; 53590964; 616295634; 696034338; 749973503; -1; -1; 271256154; 459948255; -1; -1; 110870870; 886855171; 68297398; 327822024; 710208886; 317972015; 847505514; 58310619; -1; 630903463; 552042254; 641355739; 425182375; 57183449; 634290733; -1; 119620360; 528614502; 350631564; 280504893; 305426440; 869888949; -1; 687371766; -1; -1; -1; 287827350; 16752467; -1; 20734690; 481910373; 874231591; 764470274; 150490446; -1; 96638996; 226051204; -1; 765648666; 330283143; -1; -1; 117663185; 876983233; 445577694; -1; 605712188; -1; 384377188; -1; 477474012; -1; -1; 224883882; -1; 126956896; -1; 45252387; 180616766; 194145117; 697853906; -1; -1; 894457645; 672537933; 269229540; 7281857; 572151548; -1; 95721799; 24574822; -1; 817924079; 118530514; 560528551; 65633478; 272705162; 310146897; 608495411; 384193952; 780388551; 767356584; 978636095; -1; 744090727; 811779124; 226055334; -1; -1; 405260950; 338992899; 526246009; 94718247; -1; 366636321; 964121126; 917974693; 88821145; 44310840; 213407690; -1; -1; 109747113; 863211289; 224962900; -1; 888125603; 532966366; 242507035; 847349327; 697555101; -1; 583683826; 804039569; 972942421; 282972426; -1; 307860726; -1; 708237449; -1; 799280017; 502300570; 724480273; 72505134; 316884923; 384795400; 191963645; -1; 58398086; -1; -1]) + +let test5 _ = assert_equal 1 (minDifference [956058835; -1; -1; 295614205; -1; -1; 995266271; 253581494; 131516754; 860480023; 538501828; 749077845; -1; 394524711; -1; 128589010; -1; -1; -1; 67633240; -1; 31184951; 809174041; 9503339; 96291540; 684897801; 338180187; 175066083; 717171296; 185420529; 136088588; -1; 80802829; -1; 214223285; 433827257; 431428091; 407629530; 809415140; -1; 124043947; -1; 282417820; 566383852; -1; -1; 582284507; 386757364; 50857967; -1; 48611692; 153042945; -1; 956444996; -1; 108537616; -1; 418427963; 138609487; -1; 90469596; -1; 825094524; 54447104; 212741919; -1; 913533002; -1; 302904812; 383809918; -1; -1; 391522822; 735794258; 960672773; 608205301; -1; 734731250; -1; 187048185; 143875171; 11808802; 223192285; -1; 873764560; -1; 961985727; 273361591; 701452891; 301857047; -1; 137814718; -1; -1; -1; -1; -1; 861901726; -1; 138425992; -1; 530200928; 792682355; 906757528; -1; 482408118; -1; -1; 766274700; -1; 220322026; -1; 295441111; 145236974; -1; 412752660; 261991339; 912970584; -1; 588775682; -1; -1; 256080357; 455150030; -1; -1; -1; 664286988; 457415977; 161724641; 846849378; 962806503; -1; 243643324; 428992245; 397263043; -1; -1; 149820414; -1; 870121691; 877123752; 809460308; 901507790; -1; 679339529; 571218257; 5590904; 860451058; 749290709; 783788631; 967550699; 466938727; 989392635; 6732105; 842290827; 553100759; 589024387; 151891880; 759168198; 971239733; 37393931; -1; 845531038; -1; 234306983; -1; 648121502; -1; 827692006; -1; 210350626; 698413591; -1; -1; -1; 334423716; 16941357; -1; 203521602; 301690139; 285131736; 544378252; 378042503; 96738181; -1; 436801945; 835652134; 986827578; -1; 989003641; -1; 325856870; -1; 606536175; 137892084; 945959345; -1; 384393903; 259430615; -1; 228407363; 125401493; 585632590; -1; 604766365; 473408762; -1; -1; 42731535; -1; -1; 654464618; 724863203; 987426749; -1; -1; -1; 131140581; -1; -1; -1; 368673133; 104660020; -1; 586512921; 569499972; -1; 229940555; 609885978; 949954357; 253285771; -1; 896850430; 864297584; 765049683; -1; 189684217; 975003952; 690467239; 254647888; 815055563; -1; 396636410; 387885239; 261103824; -1; 498412263; 980464656; 821874975; -1; 79948889; 710833898; 145404700; 543002240; 643273424; 89268489; -1; -1; -1; 677590779; -1; 539770788; 895725114; 631040474; 205100482; 745904619; 567896481; 847553328; 561292300; -1; 401566637; 82062148; -1; 106004615; -1; -1; 478979010; 126650796; -1; 102321508; 707394684; 233135629; 873075425; 987639123; 727054174; 748741802; -1; 344340016; 192439768; -1; 514227317; 120626159; 586163593; -1; 455149764; -1; 783422123; 487324559; 243512055; -1; -1; 591796401; 60332288; -1; 900757583; -1; 383843157; 834325985; 821069858; -1; 120165920; 812568950; 18486068; -1; 876164309; 605294843; 21871862; -1; -1; -1; 705487767; -1; 877960891; 548153799; 770863041; 406378422; -1; 786786095; 352774111; 398389609; -1; 898995913; 286276851; 833562052; 890104125; -1; 653456987; -1; 597317027; 450874870; -1; 151794036; 358629422; -1; -1; 410448114; 59423248; -1; 702030660; -1; 661440988; -1; 338106020; -1; -1; 428522479; 7439330; 939248224; 813623079; 626329787; 200330465; -1; 91205263; -1; 707623764; -1; 110593283; 25909410; -1; 664789135; 394624690; -1; -1; -1; -1; 904338250; -1; 550241400; 682874622; 419414505; -1; 689873984; 126019782; 987726894; -1; 215966550; 261925606; 525390026; 669538323; 89508294; 894827566; 535360771; 115970973; 267289506; 58215697; 928593846; 112836061; 699731404; 286328162; 459648192; -1; -1; -1; 634024621; 296004413; 986144934; 787265128; 255280151; -1; 897064636; 945103420; -1; 815711201; -1; 850309841; -1; 150428220; -1; 435933069; 71903154; -1; 565470080; 266970988; 354745628; 979799847; -1; -1; -1; -1; 7999831; 724319635; -1; -1; 389279843; 875619018; -1; -1; -1; 79509399; 847708322; 728515925; 252970176; 134211086; 533560294; 940459428; 731008781; 758656190; 184774933; 423678146; 154505719; 96663238; 346750472; 752527999; -1; 475242144; 633500583; 150312140; -1; -1; 755642536; 519030068; 637596198; 752201974; 162291112; 959701058; -1; 371708603; 118260563; -1; 741905605; 734037701; 635943607; -1; 560624042; 901444527; 562783417; -1; 318250478; 482241554; 125243788; 966862326; -1; 676457116; 576975835; 789232780; -1; -1; 133973399; -1; 173219748; 731659008; 493808703; 151998865; -1; 403558217; -1; -1; 182468163; 652252759; 97596092; 175556922; 472326062; -1; -1; 185945827; 291105892; 79495687; 731663987; 67449823; 662758059; 978791592; 883110175; 652861553; 4975856; 102000676; 200332240; 317030280; 727268407; 184572773; -1; 955438905; 734126510; 436937354; -1; -1; 784593181; -1; -1; 830467766; 658118362; 304797657; 326947558; -1; -1; -1; 325410858; 364951910; 857783737; 79293295; 38921064; -1; 459706393; -1; -1; 437246932; 456093586; 911349036; 974185443; -1; -1; -1; -1; 944116423; -1; -1; -1; -1; 391645989; 85556423; 294000422; -1; -1; -1; -1; 402984422; -1; 952775108; 386884448; -1; 829503766; 819607560; 38604657; 884462837; 18871524; 741345296; -1; 687626435; 751298529; 833247482; -1; 743740414; -1; -1; -1; 325589971; -1; 405422989; 815031069; 955022231; 672001822; 647008544; -1; -1; 901195984; 620892159; 626925928; -1; -1; 826554650; -1; 822475893; -1; -1; -1; -1; 11862375; 618679923; 419055793; 390100205; -1; 193945920; 937210935; -1; 265166053; -1; -1; 660349694; 559523138; 463712406; -1; -1; 52694099; -1; 519412786; -1; 302361992; 932127972; 129628806; -1; 468667974; 435577815; 376781072; -1; -1; -1; -1; 890173073; 190691091; 265838404; -1; 396510313; 869415093; -1; 926679478; 714801347; -1; 307900291; 447715806; -1; 561098934; 586845506; 924193173; 371101173; -1; 751787111; 598422829; 813899029; 471968330; 445770808; 626233598; 937162776; 667332201; 202117492; 408317602; 71920151; 931837099; 863561821; 920450900; 760327851; 229889769; 899397085; 581505118; -1; -1; 285713977; 664831256; 214698398; -1; 424923882; 138346774; 40128765; 408094734; 903779864; -1; 265952218; 507998608; 740676896; 389677726; -1; -1; -1; -1; 60807593; -1; 626372241; 885315927; 639531582; 405051791; 34480130; -1; 266268927; -1; 629057959; 655142641; 139464004; -1; 722416103; -1; -1; -1; -1; -1; 681506656; 45826187; 470476300; -1; 267197640; -1; 384925194; -1; -1; 750221937; -1; 164606175; 309095561; 484510004; -1; 743803165; 328833147; 989035116; 816545109; 277171926; 185866242; -1; 358818580; 69602912; 739500085; 580016317; 377999894; 113035087; 140427532; 380334070; 482548081; 472757731; 971710266; 398011698; -1; 561463231; -1; 619876977; 490385810; -1; 1697820; -1; -1; -1; 316586215; 613644382; -1; 107964163; 944117227; -1; 722311831; 320952985; -1; -1; 590443571; 875752773; 641742413; 75140278; 510833760; 165984198; 601806920; -1; 330087097; 353546876; 447078996; 994286139; 424585794; 830036608; 409084515; 45215094; -1; 237055127; 763484954; -1; -1; 646866517; 400660522; 717898042; 669201958; -1; 826642090; 284709541; 549918772; 988554349; 925118776; -1; 502048249; -1; -1; -1; 868863646; 791850449; -1; 710603672; 156516899; 407802594; 518864321; -1; -1; 958555654; 555790551; 41120307; 86024846; -1; -1; 564192434; 92971232; 435851960; -1; 886643058; 266027573; -1; 294021386; 186668276; -1; 6454940; 596747391; -1; 243648755; -1; -1; -1; 611267055; -1; 402214091; 175457227; -1; 828285820; 159909982; 479842270; 227295568; -1; -1; 600731627; 610595466; 342850191; 51230564; 951893881; -1; -1; -1; -1; -1; 977349424; -1; -1; 914516647; 899473244; 584409080; 349731400; -1; -1; -1; 546873755; 407792344; -1; 730214787; 244802255; 134693381; 194453378; 331791782; 159788146; 385969827; 333438631; 752103665; 940282396; -1; -1; 821381660; 666262750; 271791120; 309110907; -1; 442431057; 911191720; 709240094; 297987223; -1; 358968438; -1; 652740788; 619659297; -1; -1; 363406376; 140937124; 705903144; 533795095; 627790060; 553619508; 602929054; 257026411; 489487369; -1; -1; 222469229; 126412939; -1; 340327779; 536571235; 43408183; 840186457; -1; -1; 707680737; -1; 469200460; 919192044; -1; -1; 328890620; 285922083; 727886636; -1; 690765841; 628307593; 54851870; 289419457; 183064461; -1; -1; 72491958; 901993767; 318148537; 610974953; -1; -1; 193855445; 427679208; 550433484; 344751630; 593203219; -1; 282564927; 313524060; 852520747; 548560313; 178063394; 980543431; 4935149; -1; -1; -1; 222878623; 575343651; 536614017; -1; 252922245; 885722808; -1; 267464580; -1; 221433064; 378029066; 816930338; 468515904; -1; 160690992; -1; 478467077; -1; 520197520; 604743887; -1; -1; 177133552; 867914318; 504788888; -1; 928458243; 425585858; -1; -1; 488695081; 687808842; -1; -1; -1; -1; 25841724; 782946348; -1; 723878271; 278050424; 252291305; 681291320; 549764658; 845698867; 997614317; 715509581; 94583795; 967098394; 650330387; 408852242; 96049443; -1; -1; -1; -1; 95864941; 127897760; 78849426; 415569640; 223400531; -1; 615532196; -1; 990704720; 150945592; 136048106; 586846407; 312831329; 557930198; 634713837; -1; -1; 840898416; 280023430; -1; -1; -1; 848011595; 77874846; 490177724; 424993174; -1; 342441162; 28699406; 362399146; 954628641; 824428461; -1; 385503603; 567467521; 817831097; -1; -1; -1; 458497060; -1; 373319615; 220946939; -1; 855616131; 654118687; 783616810; 957155713; 817654346; -1; 156385069; 424497028; 948918280; 44400318; 326911988; 423321842; 363283229; 676641645; 4744704; 320346029; -1; 636082203; 671905873; -1; 473779765; -1; 483439259; 502742099; 119982835; -1; 52124302; 979994904; 847969025; 410125543; 612601096; 109756081; 402150216; -1; -1; -1; -1; 786039760; 860210059; 869965756; -1; -1; -1; 207958091; -1; 83986292; -1; -1; -1; 616442467; 245100162; 465742153; 936622549; 204007708; 197881245; 529279477; -1; 438819139; 792595411; 842670759; 471101976; -1; -1; -1; -1; -1; 236322890; -1; 418103778; 218420099; 502971189; 77151438; 761636736; 647279950; 237268254; 246802609; 491796652; 439171114; -1; 328972835; -1; 323209472; 603723664; 647076747; 667489602; 483650843; 153389634; 416492656; 775554331; 721238968; -1; 678425749; -1; 820380646; 360504787; 315227461; 103078298; -1; 369151013; -1; -1; 519878446; 552584409; 566755556; 917581034; 93221079; 477174279; 360897222; 137555695; -1; 740861745; 728603973; 394470078; -1; 216226926; 923418398; 706047631; 412066990; 330552878; -1; -1; 592212260; -1; 889426708; 736524069; 517322025; 246051682; -1; 4737575; 408279710; 70515025; 184543831; -1; 317364721; -1; -1; -1; 931957906; 616770047; -1; -1; 482823556; 242197116; 147894048; 967671732; 278671300; -1; -1; 70942401; 691204524; 404743956; 185138692; 310359166; 63139957; -1; 210355037; 996569662; 161692434; 640097470; 667688341; 246186919; 465840510; -1; 618333404; 948252261; -1; -1; 136142256; 484978286; -1; 224762805; 664700897; 318400638; 813154249; -1; 2748515; -1; 798137346; -1; 578304020; 353315085; 36936453; 441037544; -1; -1; 143267257; 344899555; 795987699; 966180404; 484738874; 136217186; -1; 640114707; 338758186; 567677833; 916999916; 70083995; -1; 155627975; 524754423; 960593730; 837831910; 760557834; 782790828; 223395982; 206626572; 633950038; -1; -1; -1; 536540305; -1; 486213781; 351596141; -1; 456564994; 117070448; 325912491; -1; 68052160; 775899936; 317309366; 601659240; 460867319; 698072076; -1; 197662315; 84143024; -1; 649117103; -1; -1; 647282193; 283390263; 917523326; 146729254; 81988922; 3770219; 278130718; -1; 485980933; 46290936; 993334462; 126372355; 774549224; 887488498; 956568831; 770205649; -1; 247506404; 345974405; 473735038; 661107894; -1; 235953376; 309535773; -1; 702976473; 764580504; 906603407; -1; 908279992; 4204554; 808458096; 76433428; 46985558; 878630572; -1; 318726379; -1; -1; -1; -1; -1; 672394096; 477899830; 741793269; 284962961; -1; -1; 562821190; 685863992; -1; -1; -1; 622206941; 775725884; 413730017; -1; 915821942; 418421136; 698313034; 164095250; 492007704; 559664150; -1; -1; -1; 636523706; 254484906; 322094112; -1; 44853103; 103001244; 525905270; 933881641; 601476434; 134699154; 166857235; 630917259; -1; 724755384; 400594786; 516325436; -1; 473629514; 801992494; 713388883; -1; 407943443; 969422374; 717562278; 48040439; -1; 39854149; 30545493; 480185905; -1; 305131527; 971134160; -1; 635188121; 467096731; 774858795; 165451683; 92598182; 205419087; 686592086; 968678958; -1; 235927793; 266014971; 715703221; 356183877; 529460153; -1; 542088458; 573424529; 301102290; -1; 76995223; 665647510; 33808883; 123500308; 465325501; 692035226; 412449262; 539898589; 630793583; 69299703; 24241067; 603774780; 932539766; 316544908; 66758722; -1; 478982816; 536786642; 671714840; 163006883; 915886701; 251956488; 184390910; 59370231; -1; 67000876; 833197814; 266417566; -1; 240520613; 987624668; 653767303; 297464981; -1; 255449398; 224391865; 458268461; -1; 287018071; -1; 858041407; -1; 525581837; 544870302; 301375293; -1; 575556385; 921644334; -1; 251476353; 118369005; -1; -1; 376918369; -1; -1; 65886496; 627929669; 197879888; 667907038; 824959613; -1; 494545221; 705646995; 194997350; -1; 451315479; 919975654; 1462858; 774768224; 562926323; -1; 716997227; 840199345; -1; -1; 598179713; 153687818; -1; -1; -1; -1; -1; 53326092; 226492726; 135425560; 196568045; 581314598; -1; 302320513; 730327921; 543832211; 477387975; 247266767; 385542069; 167719894; 615007892; 206675234; 830895452; 152938601; 323321364; -1; 728797799; 559182379; -1; -1; 330137725; 269622642; -1; -1; 445206192; 39374753; 272072885; 167835529; 805414611; -1; 107411748; -1; 651105691; -1; -1; 24998645; 697082881; 496081016; 138293772; 8637806; -1; 653941692; 427651343; 377401083; 80645607; -1; 600959977; -1; 208019865; 998708719; -1; -1; 530754969; 868084667; -1; 353448053; 147749926; 575054727; 889790901; -1; 583546829; 275121194; 606651102; -1; 650493486; 370983840; 232532380; 385515633; 66591361; 548628444; -1; -1; -1; 239815705; 669204234; 454408596; 847855647; 590959834; 719399606; -1; -1; -1; -1; 658071178; -1; 597538687; 980487486; 864781468; 137486336; -1; 460491646; 226084133; 980100262; 904501709; -1; -1; -1; 294519537; -1; 360829902; 414628035; 494910855; 557143978; 332154252; 841915449; 495374711; 901068398; 94832729; -1; 693956311; 249634877; 283254422; -1; 916498852; -1; -1; 294756656; -1; -1; -1; -1; -1; -1; 360905483; -1; 753794316; -1; -1; 430211990; 678100167; 981537855; -1; 201269695; -1; 476738400; 583856640; 35783846; 648343740; 954851952; -1; 940227126; 544805227; 632632163; 399949349; 479106976; 128051700; 481971328; 90777913; 12035568; -1; -1; -1; 337252984; -1; 369836798; 69642410; -1; 397748192; 652938963; 29560058; 170700734; -1; -1; 28897407; 562911002; -1; -1; 118598184; -1; -1; -1; -1; 704146695; 809115915; 961511580; -1; 276913319; 225839447; 424084683; -1; -1; -1; 246752174; -1; 225816033; 32421688; 746095570; -1; 937527779; 574278315; 214670054; -1; 546308361; -1; 55289893; 251286102; 80992253; 965451062; -1; 647968119; 186612302; 191538648; 643997218; 656234689; 487118702; 969862569; 503783681; 135627545; -1; -1; 934011948; -1; 757779960; 451001576; -1; 227444593; -1; -1; 650878685; -1; 856422135; 804003055; 580899503; 978220852; 390565097; -1; 968434234; 579596576; 714302095; 305538447; 205060682; -1; 809451372; 603035303; 404784508; -1; 733532940; 522316524; -1; 859157743; 268575669; -1; 760536951; 991761216; 456330263; 619883911; 314490074; 375659840; -1; 828575573; 460249283; 824085716; -1; 626808831; 112168656; 281513163; -1; 416658595; -1; -1; -1; -1; 159952951; 411249772; 676253624; 997190703; 855941080; -1; -1; 678335431; -1; 304915116; 620064815; 896782399; 500640039; 281985218; 184300553; 916665765; 689344956; 63514664; -1; -1; 206406252; 144829137; 399805927; -1; 553739864; 149089745; -1; -1; 404266946; 482708787; 267569040; 972893681; 45520241; 13276183; 825298458; 48352007; 188737134; -1; 398550061; 828300686; 162637676; 471143725; -1; 315649695; 725646597; 386302776; 62235403; 749690366; 840316104; -1; -1; 640004753; 876450180; -1; 672356811; 793390254; 271170780; -1; 648298216; 299780291; 950322367; 185450158; 834696174; 631018329; 265968716; 943250434; 271261577; 194621659; 962979330; 132727247; -1; 531697397; 106552793; 813404363; -1; 359623082; -1; 904682566; 110343150; 912747152; 148476598; 737002081; 999089393; 149806802; -1; 979915381; 556738843; 634434152; 435379552; 409384660; 271371726; 311927610; 100784568; 440887165; 164516752; 841742214; 257550635; 952089120; -1; -1; 635939101; -1; 790753724; -1; 119295635; -1; 897695313; 488681061; 942607012; -1; 33497548; -1; -1; 992618348; 322566679; 278161345; 460048055; 451355499; -1; -1; 871203726; 985043157; 661282755; -1; 235912661; 844107311; -1; 23910007; -1; 938766403; 976858392; -1; 395543998; 955471918; 940116162; 242401437; -1; -1; 527040072; 666001986; -1; 91741444; 903909003; 171788329; 733606364; 880936121; 619918007; 74939524; 292167368; 486294047; 221988630; 159471644; 217459117; 298980328; 8726447; 71032924; 587594540; 470734671; -1; 230282550; 43989251; 100049253; -1; 24659205; -1; 238317819; 652467935; -1; 976182027; -1; 537830025; -1; 633438909; 9606242; 462391353; 487007358; 66044651; 758701344; -1; -1; 135241573; 582447379; 600884658; -1; 214380174; -1; 942198674; 278771300; -1; 64884211; 776210191; 981193352; -1; 172283590; -1; 768325209; 345175697; 647670244; -1; 472957080; 89108722; -1; -1; -1; 892158184; 42566373; 862031168; -1; 539302191; 825364954; 720490711; 595086351; 307038733; 18969037; -1; 870308391; 735291763; 893696221; 771493313; 102891354; 361376977; 859217098; -1; 228191820; -1; -1; 788437796; 445453480; 490773643; 659694081; -1; 146655667; 444874243; 425829128; 849071392; 496020118; 634084812; 668372180; 16635220; 635632360; 982573730; 899606468; -1; 690435767; 747373419; 91232105; -1; 145187123; 130056695; -1; 942883298; 141646168; 195593430; 584483435; -1; 451446594; -1; -1; 171628321; 441075660; -1; 899542287; -1; -1; 13405349; 742838147; -1; 629944483; 191293143; 124625957; 587483520; 336217933; 994630473; 385838925; 444158685; 985409864; 311459471; -1; 129342812; 25619714; -1; -1; 944652020; 429698002; -1; 990379266; -1; 722152971; 546495882; 661406812; 543881773; 412617817; 287058750; 247964784; -1; -1; 918420970; -1; 637687593; 253074734; 939815136; -1; 659184648; -1; 778281881; -1; -1; 871826076; 219370093; 545269819; 255618713; 548085402; 914058607; 461051057; 306872311; -1; 561904034; 896371953; 444898621; -1; 206090867; 504427558; -1; 130765631; -1; 920872203; 432467498; 441150833; 528198598; 869647381; 721304112; 560344395; 698461866; -1; 459418743; -1; 639937413; 259037443; 886254368; 383864766; -1; 649484371; -1; 70086960; 159999941; 95183225; -1; -1; 79382296; 994825197; 732208256; 374404800; 801814065; 876351191; 251487973; 940451831; -1; 59513881; 201241353; 359126309; 714459594; 755283782; 889833225; 72983462; -1; -1; -1; -1; 96591889; 342896448; -1; 376477039; -1; 350547447; -1; 650924593; 609571025; 483376789; 847160723; 379519929; 482658658; -1; 404026236; 181923527; 898991927; 650987373; -1; 23270161; -1; -1; 807942022; 1734442; -1; 535354729; -1; 537419306; 803611696; -1; 283574982; 423646395; 135806139; 642076627; 861306081; -1; 889850823; 555472456; 7393322; -1; 583468654; 763769369; -1; -1; 586754926; -1; -1; 255911455; 715679366; 284399254; 287364213; 664013456; 116618762; 949177716; 645489061; 368177346; 462137589; -1; 944594685; -1; -1; 923834609; 482702514; 521200120; 886015717; 939494678; -1; -1; -1; -1; 748900644; 547488751; 677298447; 366740327; 810316710; 756668041; -1; 610521399; 488747665; 154423304; 918499517; -1; 779628403; 615380946; 130302902; -1; -1; -1; -1; -1; 517281811; 909783083; 970215541; 21183027; 832868033; 94469952; 432493815; -1; -1; 709719741; 19609353; 904558569; 650919972; 728125757; -1; 371540476; 767082497; 151924149; 84220827; 501958621; 914007403; -1; 167283200; -1; -1; 978623662; 591402038; -1; 104924966; 329966132; 851245633; -1; 475869916; 274492655; 31845542; -1; -1; 332300373; 563501879; 478157932; 741596063; 79898213; 570695539; 678027934; 100661282; 909038749; 758228649; 689549750; -1; 402965562; 569275166; -1; 366034212; -1; 951849333; 243524648; 882614680; 797574082; -1; 227967527; -1; 916043484; -1; 844166544; 181340038; 723244308; -1; 819980812; -1; 220231566; -1; 80204260; 692239263; 90931085; 941437231; 529067087; -1; 678555839; 999250403; 30761016; 858158343; -1; -1; 145855776; 745705668; 889809706; -1; 988964057; 522113155; -1; 183891216; 14321376; 181688368; -1; 142963766; 973471555; 79242760; -1; -1; 836847883; 148542713; 979049294; -1; -1; 381660607; 458172359; 478479120; 413737613; 990776635; 324344795; 523493606; -1; -1; -1; 95778325; -1; 531313271; -1; -1; 124341520; -1; -1; -1; 572934790; -1; -1; 872871337; 919182277; -1; 420413379; 27377048; 211056187; 371038120; 378594892; 879850624; 212030304; 134396590; 687794286; -1; 456386811; -1; -1; 342234184; 623633649; 607320218; -1; 205255021; 382894094; -1; 58186888; 972844585; -1; -1; 867503677; 738287554; 503949831; -1; 302378523; 110969083; 531236112; 494351322; 145025244; 342002084; 188792072; -1; 404286361; -1; -1; -1; -1; -1; 406278254; 95119173; 63160839; -1; 346063967; 636301326; 53817282; 27005458; -1; -1; 81266065; 326267074; -1; 359724811; -1; 227959025; 502217968; 782455832; 311888796; 842246252; 136286902; 984683782; 362173548; 54812775; -1; -1; 766945118; 624960791; -1; 878388482; 166028985; 370730303; 351262775; 83203538; 888558705; -1; 71916152; 736451528; 923912350; 31910242; -1; -1; 366437854; 778108842; 624292287; 723896858; 571388053; 658340259; -1; 464324116; 562901194; 181437732; 316843560; -1; 694519644; -1; 862879267; 379722388; 701624362; -1; 197168507; 511640105; 451672337; 529810876; 729099590; -1; 987260794; 291711071; 51429160; 195332365; 235087930; 45154172; 773583146; -1; 831856468; 184904884; 660680318; 22486427; 739601041; 247447847; 463428064; 125873904; 977192424; 170379846; 133100026; -1; -1; 520320597; 35840653; 231961982; 543348828; -1; 240395815; 516209165; 482804077; 386725642; -1; 34727415; 14513526; -1; -1; -1; -1; -1; 952051104; 503330092; -1; 149845991; -1; -1; 767937716; 58754344; 713339250; 321607971; 30071630; 992864626; 223316676; 160949930; -1; 44379367; 596645449; 436410909; 859563773; -1; -1; 799405249; 727437439; 679465178; 694853813; 201487340; 750281809; 766237790; 749957078; 590159290; 694786008; 658170385; 285399712; 791788169; 844813935; 136178600; 551966114; -1; 73692250; 383023253; 414328853; -1; 975597459; -1; 798710408; 794583202; 889696348; -1; 921353005; -1; 139693897; -1; -1; 764479768; -1; 680523853; 356345030; 89322403; 225844841; 44474322; 515387763; 349462821; 713303741; -1; 276895988; -1; -1; 249771719; 951422850; -1; -1; 249516631; 418459709; 452961008; 67139580; 863595906; -1; -1; -1; 857535213; 346105287; 236892116; 155061949; 443072582; -1; 178102550; -1; -1; 850741927; -1; 613137576; 391198131; 19007556; 398920714; 898217675; -1; 428257672; 785346819; 403037727; 884271224; 458153286; 561396499; 12568322; 872559281; 252984040; 165936010; 550844915; 901971896; -1; 36916119; 226156907; -1; -1; -1; -1; -1; 44903080; 986674710; 888540547; -1; 652018343; 302481991; -1; -1; 625974736; 716278462; 670940876; 354951753; 924331216; 232089621; 750648299; 83082329; 978411422; -1; 50549628; 75286613; 918051445; -1; 659515998; 512333699; 901795500; 22598002; 868382764; -1; -1; -1; 871601593; 745201712; 267140957; 218956772; 819876073; 709641109; 860858828; -1; -1; 533296003; 252300119; 75765062; -1; 940377808; -1; 460635638; -1; 47464826; -1; 726132604; -1; 633329177; 809034537; 211215524; 445115429; 268361462; 48024611; 992901347; 143670449; 308306930; 296308479; 288436175; 19268985; 851729660; 515720382; 600207832; 54258672; -1; 946278934; -1; 318076281; 383551714; 930750554; 530297644; 173344156; 937014827; -1; -1; -1; 993598302; 259372815; 736047641; -1; 924046768; 167784927; 73164124; 349721845; -1; 497555088; 459715687; 320673688; 489651631; -1; 860553242; -1; 940825784; 643560961; 39968185; 754125617; 283464138; -1; 946806225; 373911063; 547007841; -1; 579446500; -1; 109154544; 443458; 348556031; 119242473; 264399718; 202768994; 931486347; 288005225; 264905981; 872240764; 903255288; 443978613; -1; 802508199; 444007077; 679882162; 351439697; -1; 47368857; 24299733; 584088697; -1; -1; 770169767; -1; 988589932; 914760785; 616597905; -1; -1; 595289114; -1; -1; 495089136; 500347631; 960742209; 640909010; -1; -1; 660884346; 412134029; 843649622; 516648909; -1; 960632548; 548356798; 133986823; 877587462; 385822513; 594343938; 426833264; 179796142; 739780718; 110686907; 993303501; 938327948; 205150753; 535510769; -1; 305441665; 676876562; 784229222; 461045976; 699195376; -1; 76996735; 594231655; 578764314; 355283550; -1; -1; -1; 421462347; 439093115; 612108778; -1; 657015668; 575738665; 196713464; 849770018; -1; -1; 77399916; -1; 696805590; 754490354; 932197836; 38642686; -1; 366705922; 98927172; 118983126; 912658893; 769513996; 327966415; 517984180; 779375779; -1; 706928461; 117333908; -1; 77334055; 656068842; 689915979; 665367431; -1; 216972409; -1; 723986065; 318040714; -1; -1; 956745152; 126272887; -1; 601718117; 985920790; 136936430; -1; 861747966; -1; 551431648; -1; -1; 78950173; 674642470; -1; 17621114; -1; 840667727; 661637163; 285252178; 235058475; 377244388; 786140717; -1; -1; 945355173; 691071228; -1; 459529716; 110270536; 465544607; -1; 608561487; -1; -1; 449311662; 676486502; -1; 94798479; 47731268; 492048243; -1; 374123453; 151390930; 430044610; 547299605; -1; -1; 308310614; 869554793; 840600294; -1; -1; -1; 383675290; 841579108; 639582886; -1; 586447898; 499940917; 317825257; -1; -1; -1; 426572463; 746185459; -1; 11836000; 202787785; -1; 900176603; 608211459; 193916809; 331746168; -1; 655185727; 92158690; 722862062; 105996786; -1; -1; 129096374; -1; 950983468; 463990279; -1; 813534850; 956665694; 654657559; -1; 551040544; -1; 849968513; 477059504; 908698946; 80519878; -1; 621512784; -1; 402446043; 471162442; 24182312; 643105015; -1; 205103986; -1; 896560470; 767586841; 714945917; 145746885; 263307142; 571992246; 179235401; 222244701; 840072900; 422281047; 463147177; 46315753; 349908169; 453936818; -1; 369132438; 38182090; -1; 779647802; 863660910; 304840775; -1; -1; 108338085; 702527996; 96931181; 593961692; 141178464; 857235024; -1; 477255083; 411588724; 276652336; 712758659; 911618232; -1; 911931085; 379109475; 413118324; 935181578; 86194622; 594461261; 831188423; 575223378; 345980676; 481184908; 888964660; 343698599; 188502861; 448368001; -1; 567897995; 511114958; 138644778; -1; 308513517; 667511611; 172292781; -1; 602174966; 684969489; 398549905; -1; 405797317; 294425352; 341749361; 994621494; -1; -1; 149852446; 831005024; 555175692; 355090508; -1; 782566828; 760067546; 177149314; 842940882; 913193275; 177380342; -1; 585488470; 209859406; 100232059; 559901477; 965349167; 954787827; -1; 629009238; 534393399; 577925239; -1; 106941299; 241312005; 704122507; 577907108; 882926315; 372575383; -1; 430204148; -1; 287461999; -1; -1; 467416750; -1; 454246213; -1; -1; 316954381; -1; -1; 584343053; 421717130; 3767089; -1; -1; -1; -1; 538039742; -1; 769089301; -1; 180048914; -1; -1; 748046392; 783494219; 879053011; 40640155; 895980539; 105515915; 514055243; 565584070; 950094930; 819915783; 526671409; -1; 462817374; 191078588; -1; 269444660; 162134039; 961838128; 758723824; 725902749; -1; -1; 597614043; 691235597; -1; 542648598; -1; -1; 180035124; 700972383; 491208227; -1; 130675956; 740821537; 440571331; 923729930; -1; 274002214; 896089691; 358377910; -1; 100878684; 73198397; 263981836; 333528683; 798120556; -1; -1; 837404499; 105169439; -1; -1; 277763799; -1; -1; 243121900; 143831710; 855348443; 316294200; 665029335; 727921763; -1; 163146532; 807144447; 471221667; 803177683; 436163663; -1; 929600502; -1; 116977134; 644030663; 58062964; 254022528; 926212321; -1; 551656292; 491842524; 684680591; -1; 655965042; 418155321; -1; 986146900; 862618511; -1; -1; 464320544; 819275830; 371762668; 923350296; -1; 417867979; 245485141; 514680760; 581540219; 207713285; 620985256; 570390164; -1; 225601257; 819136266; -1; 966090812; -1; -1; 178135884; 634356355; -1; 667486500; 368883231; -1; -1; 403152891; 147234722; 562611931; -1; 410200059; 153650027; -1; -1; 774032098; 978221544; -1; 226677300; 447160412; 258136296; 102841306; 242439027; 587205219; 366689726; 13246910; 653409172; 948840929; 853387053; 10406011; -1; 393621867; -1; 206657941; 292267398; 607361405; 397866244; 535527572; 687670283; 803787031; -1; 689674032; 866902540; 834821634; 377178263; 797649994; 12003141; 326424288; 942120066; 758908228; 881774680; -1; 834474291; 255718900; 510273007; -1; 646262308; 713648127; 721833802; 656194162; 697494187; 496463891; -1; -1; 15760108; 783710921; 973472886; -1; 717796742; 823414027; 324927409; 462412232; 231547085; -1; 334671030; -1; 221043261; 935106169; 964452401; 759188569; -1; 333832516; -1; 222801305; 999472875; -1; -1; -1; 53017462; 38465176; 703170848; 677125199; -1; 76868244; 620441451; 650916419; 421996195; 971280639; 798673745; 314328142; 541946014; 546718420; 647782230; 831673246; -1; -1; 552599383; 586628663; 103611508; 596482165; -1; 574740203; 504802989; 562747641; 386505308; -1; 576658056; 923752028; 996801271; -1; -1; 130049091; 80815239; 897885333; -1; -1; 77683319; 4666183; 564798188; 777422800; -1; 786524117; 392902670; -1; 319535189; 125010177; -1; 603162092; -1; 145994830; 445518484; 467048735; 951570595; 509583220; 953628190; 94638029; 372617053; 721015961; -1; 735229578; 170339341; 300425415; -1; -1; 521410849; 967256290; -1; -1; 565957693; -1; 373290971; 413375401; 652779848; 154004153; 667346721; 108514349; 294270310; 298557939; 269125889; -1; 422135248; 325618962; 152531519; 364266049; -1; 538687234; -1; -1; -1; 716325288; 791402014; -1; -1; 878653537; 699659741; -1; -1; 922590723; -1; 860706579; 826721381; 825120787; 496809274; 127995044; 333160162; 241530460; 985868064; -1; -1; -1; -1; 766788240; 272848124; -1; 265896722; 157131340; -1; -1; 983139910; 420357229; 858398948; 369294409; 676156200; 55223326; 105286599; -1; 711016628; 742287289; 386368121; 86933032; 277510477; 210069211; 339021894; 902486928; 654181376; 637416799; 323650300; -1; -1; 627646403; 984014635; 290143736; 121168062; 230663540; -1; 214982027; 955864572; 232669257; 4945567; 178382235; 275024254; 733707730; 901363534; 303911296; -1; -1; 921954573; 799394179; 243806047; 120028719; -1; 848290131; -1; 616946891; 179753660; -1; -1; 143160175; 511907534; -1; 552005215; 748168059; 225237548; 135489855; 626867191; 94408464; 497686151; -1; 227788882; 311806107; -1; 948649041; -1; -1; 799963751; 652826840; 87720401; 732946712; -1; 280328718; 939188853; -1; 215806547; 846773041; 392060629; 138995134; 960579866; 360985977; 188170230; 650978910; 275598588; 762022242; 683589978; -1; 642917765; -1; 654264187; -1; 94114732; -1; -1; 509666781; -1; 922974702; 279638896; 90003763; 613235854; 880647009; 74217290; -1; 882030561; 25816609; -1; -1; 727009626; 464287465; 333242198; 822541774; 441115297; 334947191; 789635457; 658858896; 84077206; 219924315; 658846567; 413185464; -1; -1; 180942922; -1; 860553210; 970203033; -1; 203239447; 410483759; 80024320; 643571979; 318262995; -1; 716117875; 775617099; 401083445; 238844261; 363459119; 250252798; -1; -1; 601758115; 949780109; 906955966; 32215513; 851389100; 197535593; 507023992; 29040945; 754968612; 908738004; 234355257; 481300226; 705901055; -1; 727730564; -1; 238660084; 166582732; 513457617; 408316837; -1; 824022596; -1; 718461808; 297702184; -1; 557108532; -1; 402276635; 680920059; 196755819; 648032339; 386762603; 998917399; -1; 208421788; -1; 414191213; 631567953; -1; 970667089; 492209318; 787530603; 882794894; 532576268; 455187747; 182561418; 550416360; -1; -1; -1; -1; 548092105; -1; -1; 647791695; 436005614; 71016674; -1; 588946613; 705757332; -1; -1; -1; 691667834; -1; 190806319; -1; 950021974; -1; -1; 590504036; 657150139; 311615192; 748850567; 959896608; -1; 837230064; 145221905; 567634701; 295400243; -1; -1; 679504134; 250408706; -1; 484307216; 437374974; 170265114; 197366068; 789121343; 962538765; 656882009; 660482242; 444397815; 653187440; 335903323; 832823112; 44717152; 123640242; -1; 800992522; 716968713; 614424095; -1; 924886338; 111325947; 224759290; 606578016; 889022610; -1; 363611229; 318917271; 647077221; -1; -1; -1; 892844994; 182631773; -1; 620305274; 602869464; 298410378; -1; 778015623; 587593402; 989789547; 638701183; 463384775; -1; 454505093; -1; 620704793; 908823847; 271861689; 307182385; 172631305; 202119630; 469271921; 271057083; 766030898; -1; -1; 6342126; 464173592; -1; 743473772; 930376031; 163612775; 749429237; -1; 875219372; 486712823; 938121431; 97578277; 171733021; 304554414; -1; 753705675; 884317743; -1; 557910428; -1; 741741053; 44085855; 793001989; 216807241; -1; 561961838; 536679941; 190126024; 611729363; 912521046; 300044668; 783581487; 455515630; -1; 20397848; 249480935; 354206368; 721374052; 87041117; -1; -1; 150180419; 420097644; -1; 97900998; 411614643; 795731971; -1; 139107319; 825049756; 661527524; 484333761; 304399066; 552598805; -1; -1; -1; 836093554; -1; 372680263; 415249585; 153957516; -1; 366184616; 548618881; 247271223; 614220216; 289705194; -1; 424496556; 618347547; 66220777; 451718435; 39753154; -1; 965247587; 186272884; 937556671; 343736969; -1; 41968651; 876338510; -1; -1; 664539; 227376418; 669770742; -1; 81070280; -1; 635230933; 292875901; 617900544; -1; -1; 637691748; 636645122; -1; 842777935; 320472031; 381143109; 193224303; 276762050; 571385177; -1; -1; -1; 125705609; -1; 501901867; 922572721; 902279166; 562858453; 195961142; 691374633; -1; 283532506; -1; 383444623; 993761057; 258088905; 343545495; 492781873; 7875948; -1; 755792197; -1; -1; 623257176; -1; -1; 264637380; 93472306; -1; 472456921; 684826604; 286369359; 870151970; 809972016; -1; -1; -1; -1; 248677622; 120850809; 583863039; 629094153; 503454324; 883095215; 408039040; 470828130; 927670684; -1; 443591683; -1; -1; 853177450; 675183187; 911108045; 19365574; 268665489; 786102682; 837662300; 945966726; 465347952; -1; 111236856; 502067183; 515739938; 516980132; -1; 778591138; 423069161; 158050282; 734273345; 66702969; 280174014; -1; 232393615; 46743210; 706619399; 903272878; 943463284; 623706227; 339936324; 932415443; -1; 959885136; 696082105; 839937203; 142415840; 985721805; 397601016; -1; 469464798; -1; -1; -1; 891208873; 204489352; 920116888; 36329907; 381574684; -1; 124447826; 648588801; 462640403; 115512777; -1; 195995199; 566886656; 713974995; 246872550; -1; -1; 56408717; 821564736; 861568537; 353303200; -1; 454990281; 585935819; -1; 92369486; 476115068; -1; -1; 300820626; 652602235; 545086550; 387337547; -1; 734097367; 883991633; -1; -1; 519028368; 125019054; -1; -1; -1; 332536212; -1; 126542627; 555467175; 81246780; 598947399; 820211485; 651730740; 293122864; -1; -1; 851219933; -1; 773936614; -1; 203517135; -1; 711974420; 797569814; 114221185; 647432692; 158434234; 833342770; -1; 316172238; 892974605; 354588970; 742586428; -1; -1; 497942714; 757190318; 962808607; -1; 605238398; -1; -1; 642355113; 734226821; 602545210; 930203011; 546877033; 382369574; -1; 764764323; -1; 623144644; -1; 471369123; -1; -1; 308041432; 371852907; 811382467; 812976695; 296327787; -1; -1; -1; -1; 957800290; 657596913; -1; 621941787; 42199597; 104241545; 493542065; 299944316; 56575982; -1; 441705356; 945700170; 467619501; 941773347; -1; -1; 464774021; 15557498; 778091345; 548598818; 768964240; 276169343; -1; -1; 171908052; -1; 738906131; 86122009; -1; 506367026; 871245879; -1; 172765169; 233369830; -1; 558966039; 211538235; 378813206; 920208931; 798470218; 741478625; -1; 513735971; 543362716; 497443842; 789934147; -1; 840381709; -1; -1; -1; 837612098; 254319829; -1; 844232033; 734271361; -1; 714338533; 263997069; 347368305; 331246111; 971590807; 615150711; -1; 480056897; 864434302; -1; 845457491; 771054989; -1; 471153604; 266842864; 288309211; -1; 140124305; -1; 759910910; 888237628; -1; 950551110; 942996916; 316117266; 156791421; 938123254; 543946063; -1; 266989181; 362484590; -1; -1; 692328115; 265272878; 838375520; 8213990; 353039296; -1; -1; 21597996; 934499766; -1; -1; 90110228; 8467323; 978437964; 437571870; 791925247; 188222344; 341042994; 386897253; 967092483; 716166897; 862900040; 311192577; -1; 338390428; 378505480; 849429592; 890614251; 982724535; -1; -1; 301346843; 302860765; 159033466; 379650368; -1; -1; 789717470; -1; -1; 358212395; -1; -1; -1; 655438452; 794133582; 107194889; 367794025; -1; -1; 207225481; 338948455; 996875142; 13060809; 896420994; 918604154; 494464045; 703899543; 423758860; 898032713; 741511513; 838845049; 12858172; 485801105; 650354737; 532033837; 483010288; -1; 57301853; 14959725; 817984467; 179381052; -1; -1; 730332626; 703225248; -1; -1; 962651901; -1; -1; 660744971; 702159509; 967893248; 481619450; -1; 521298384; 995574660; -1; 710322738; 978120428; 285920120; -1; 173710415; -1; 674991673; 166311356; 58082174; 397182489; -1; -1; 555404474; -1; 885950524; -1; -1; 956077144; 52088295; 866250289; 294050707; -1; 92241999; 874658184; -1; 570670383; 523740139; 292097214; 930454749; 918568748; 733432175; -1; 267633885; 689126423; 880111201; 947132236; 970547133; -1; -1; 520734913; 339713815; 711072758; -1; 441143252; 649853315; 544274923; -1; 991715714; 310336266; 125777051; -1; 556083164; 893630132; 965086207; 364276401; 33549874; 352358561; 911028936; 185497902; 135666735; -1; 782067879; 798192022; -1; 189740918; 393276544; 875648318; -1; 781061334; 548631368; -1; 841310282; 956744011; -1; -1; 421031174; -1; 559561087; 66769737; -1; 575038405; 581968816; -1; 46051383; 363923310; 784350659; -1; 873652897; -1; 430292014; -1; 16718015; -1; 185887782; 976832665; 962911134; 525447017; 271185322; 171088596; 683059825; 678615941; 534757352; -1; 71948113; 350094262; 996944415; 640103059; -1; 245454436; -1; 180474839; -1; -1; 355475391; -1; 619023981; 776106654; 242902565; 139115744; 216200792; 257245372; 658791045; -1; -1; 252085046; 24920183; 653756060; 301359390; 159498789; -1; 117134007; 298812800; 390102827; -1; -1; 539533316; 812669721; 42762712; -1; 831726063; 791396008; 808291994; -1; 339665735; 298684454; -1; 272237011; 477801193; 911941323; -1; 344765595; -1; 68210591; 800490216; 462309717; -1; 359386164; -1; 991633005; 3041571; -1; 307530937; 334209256; 785236453; 926942752; 248183921; 550988784; 896376415; 645864134; 272214110; 117816840; 47631699; -1; -1; 569931526; -1; 916655725; -1; 750235773; -1; 412104374; -1; 800090949; -1; 740605473; 818503405; 108573398; -1; 756258553; 203512989; 137475703; 185413471; 240697186; 498249630; 565590892; -1; -1; 634747612; 564849751; -1; 173453970; -1; -1; 293564084; 242247340; 110536428; -1; 862573018; 735204927; 625451431; -1; 466434579; 314507540; -1; 517300959; 563271120; 175429934; 728917626; 567374423; 504918398; 756978688; 967294586; 144239794; 456029469; -1; 277558531; -1; 648349672; -1; 967914144; 151966644; -1; 615553675; -1; 879845991; -1; 962164656; 775511338; 918511639; 874372918; 886892098; 359690479; 135117242; 883466175; 992821516; 734782005; 353219075; 484981802; 869009813; -1; 236270758; -1; 971767773; -1; -1; 879926713; 671438101; 921397778; 77439991; -1; 887516057; 362354463; 800856973; 329570986; 72776916; 713986158; 589974778; 761306798; 273860008; 180218104; 949519673; -1; 214745936; -1; 523672555; 620228378; 474251745; 991401011; 211363282; 209312828; 715582905; 477338408; 520861032; 948070745; -1; 43436728; 521138788; 689721799; 477181229; 248841921; 568019521; 975812893; 568515570; 174027200; 82000837; -1; -1; 858743476; 954928509; 261883986; -1; 851040029; 774390914; 686199355; 387436743; 73708175; -1; -1; 110690670; -1; 78365125; 802125823; 634304817; 65053093; 430974392; -1; 901767849; -1; -1; -1; 800806349; 226046784; 564602990; -1; 867342523; 33112175; 364064604; -1; 217725895; 264417258; -1; 171450646; 207783795; -1; -1; 338888796; 398072393; 14601055; 240972204; 687606698; 986016913; 799450543; 98163948; 853534767; -1; -1; 559661220; 546029522; 625717621; 707528394; -1; 510776903; -1; 973106856; -1; 504045147; 438058873; -1; 141319876; 265864945; -1; 502318119; 617181742; 458159808; -1; -1; 565023303; 503478478; 387704039; 881958529; -1; 980454934; 210705346; 733531070; 328753667; 241805483; -1; -1; -1; 33989843; 15869291; 924184293; 997237614; -1; 630788384; -1; 27883291; 401653291; -1; 118480965; 970353002; 674208720; -1; 304350768; 28547249; -1; 816770224; -1; -1; 387132735; 237159247; -1; 812129536; -1; 286274696; -1; 978628483; 964701755; 499852333; 461918057; 95543893; 701055842; -1; -1; -1; 757248508; 950377102; 631011023; -1; -1; -1; 846668898; -1; -1; -1; 467937556; 267679870; -1; -1; 934450831; 766876524; 366926875; 203644048; -1; 579141649; 35474129; 800017190; -1; 607749411; 617063781; 911772884; 513466448; -1; -1; 80404828; 839131892; 669475939; 577228273; -1; 407436916; 230598938; 131500866; 917370652; 39246769; 363430054; 878440824; 48950114; 412648323; 283334207; 876166645; -1; 6011096; 451905905; -1; -1; -1; 773600161; 59234716; 252664369; 869514366; -1; 165523624; -1; 656486604; 537652804; 986989845; 135649757; -1; -1; -1; -1; -1; 371616420; 355244528; 386027457; 545501524; 347441472; 415298305; -1; 437525897; 721228507; 552328789; 632978185; 272393567; 145359182; 65406436; 464467915; -1; 681943233; 414960631; 253051019; 315216933; 770738363; 762366245; 113078074; 938307489; -1; 334431358; -1; 807295849; 446174950; 275593782; -1; 622292489; 676267862; 861731424; 627043399; 629187454; -1; 792688568; 217265827; 235786454; 697854674; -1; 294156619; 512014147; -1; -1; 369609335; 315341517; -1; 31403795; -1; 441515345; 886278195; 398681535; 904941884; 16437217; -1; -1; -1; 739161423; 38580667; 325991554; -1; 992547084; 733693207; 47715771; 408857465; -1; -1; 634251057; 413065255; -1; -1; 165140634; -1; 880218144; 747962667; 905380263; 550849608; 140836195; 396065862; 582069752; 356313865; 419372567; 29251725; 969524228; 549782461; -1; 532435205; 347663402; 15119395; 235821136; 580549123; 329219392; 321346442; 385408670; 759125852; 374830108; -1; 102603159; 121996720; 751523762; -1; 959184476; 300125394; -1; -1; 132999275; 337393999; -1; 658776851; 655341405; 215296717; -1; 634751991; 968046596; 890983460; 446454832; 631899725; 985004906; 666822832; -1; 636041545; -1; 34752783; -1; -1; 90293754; 11807275; 848874633; -1; 460843786; -1; 573897122; -1; 303860756; -1; -1; 221425663; -1; 926098208; -1; 576443108; 731411023; 457513556; -1; -1; 300788303; 788239392; 852784129; 948128797; 994781786; -1; -1; -1; -1; -1; 499194293; -1; 613982044; 933528069; 460566459; -1; 877936257; 397229794; 863403030; 973223670; 795550886; 995447558; 985578468; -1; 805388709; -1; 657118455; 676172678; -1; -1; -1; 951717308; 577440193; 606379105; 369649325; -1; 393854916; 321184465; -1; -1; 692203794; 563645509; 126302069; 632281506; -1; 626297515; 32158388; -1; 619170421; 154736562; 316184400; -1; 120077616; 524775441; 585831177; 626165078; 560447095; 941563984; 99131465; -1; -1; 40277309; -1; 433356820; -1; -1; -1; 213781564; -1; 877343132; 407891429; 343711703; 612784040; 59102285; -1; 602281170; 523206089; 667125211; 711774170; 731401519; -1; 428752871; 256156575; 560900519; 187305653; 19962154; -1; 516745203; -1; 744679997; 954880026; 496035547; 938224587; -1; 661700637; 717948920; -1; 2931740; 141349979; 138256901; 702625860; -1; 134279523; 684925360; 405300010; -1; 773183913; -1; 465253539; 124610530; 943661621; 320443688; 636159177; 605668438; -1; -1; 492461190; -1; 51177390; 322539303; -1; 58908056; -1; 709311612; 419868172; 425656020; 12828154; 401314547; 855371212; -1; 594932434; -1; -1; 806137170; 31045674; 572100521; -1; 291196124; 689518656; -1; 338253930; 952296370; 964043531; 309859659; -1; 481198484; 879616676; 530918940; -1; -1; 537476212; -1; 352624626; 61523877; 165309301; -1; -1; 41927730; 256404793; 197209864; 120795200; -1; 353063487; 619399680; 588000189; -1; 964993584; -1; -1; 839425344; 768486276; 548325015; -1; -1; 304954990; 718433797; 838501213; 208274469; 402390569; 966209206; -1; 3000808; 886251342; 346157017; 215332525; 102594236; 985533056; 318912255; 194392750; 588033335; -1; -1; 890986249; 119101157; 936088987; -1; -1; -1; 17909158; 54075365; 403886949; 145901004; -1; 554073285; 642051039; 840008955; -1; 163093733; -1; 475382423; 896792033; 364507903; 475987678; -1; 745411532; 763762886; 676525108; -1; 33987466; 625253274; 118994310; 438513426; 819978412; 556339513; 368627194; 890136592; 283034362; -1; 107730756; 728328595; 570642184; 902421228; 505668239; 344842839; 134008476; 869416217; 114261298; -1; 665810362; 726859436; 899781286; 493590160; 518954017; 798898539; 957915308; 225105679; 791732587; 332293098; -1; 904411443; 263685996; 38681625; 782544155; -1; 748878312; -1; 694499119; -1; 785986497; 203368027; -1; 683407402; -1; 442031397; 733687643; 117814113; 290835263; -1; 279004106; 940673575; 699328089; -1; -1; 894651442; -1; -1; -1; 247251224; 120954416; 947022567; 857266719; 571284174; 168286131; 573469596; 92414285; 808074145; 267935547; 412355816; 222112178; -1; 638654959; 799599287; -1; -1; -1; -1; 231946932; 246746218; 602264643; 612671368; 373005123; 33242126; 242806307; 755602816; 369381462; 203523846; 889994316; 960067323; -1; 532135964; 810194468; 835159289; 741605783; -1; 467483957; 565960730; 960469148; 403258189; 566443707; -1; 474341013; 302418886; -1; 244321285; 274985772; 848779724; 846756241; 717550607; 919901745; 884729272; -1; 667883518; -1; 738694570; 317976845; 704905888; 500948077; 510960650; -1; -1; -1; -1; 573689511; -1; 162023447; 895384483; 30684788; -1; 597397409; 425472754; 841883964; -1; 270208529; -1; 349990648; 648521624; 376273200; 247802071; 581899718; -1; -1; 50571145; 749606608; -1; -1; 269277282; 331784944; -1; 264265403; -1; -1; 10267127; 774152548; -1; -1; 351384951; 123087021; 908719414; 165939273; 650843792; 85266481; 925596242; 156865361; -1; 891062466; -1; 299458686; 402027288; 261578335; 155188125; 339154412; -1; -1; -1; 515588079; 716688659; -1; 562680926; 262525146; -1; -1; -1; -1; 554896217; 508373334; 127239060; 457334633; 324586085; 558609760; 905963606; -1; 799634765; 139253231; 698091989; 528496274; -1; -1; 903914248; 87525880; -1; -1; 899466800; 82756141; 666228845; -1; -1; -1; 744553549; 85443369; 175246599; 832796029; 944963873; -1; 498452680; -1; 467017006; 487631558; -1; 947631375; -1; 398350980; 1551058; -1; 305447197; -1; 432881327; 669254333; 727603505; -1; 797203783; 657357547; -1; -1; 149967159; -1; -1; -1; -1; 361540417; -1; 584391806; 29067317; 482498222; -1; 92096354; 577498581; 792108737; 281529828; -1; 633175760; 420999495; 232647418; 500281129; -1; 927191327; 749122331; 52032439; 477179823; 36928608; 190595068; 333818505; 68557263; 759592845; 684470757; 405178364; 851178501; -1; -1; 826701117; -1; 716154572; 696670755; 678003322; 879072401; 563567599; 510718969; -1; 167831374; -1; -1; 545726545; 179727784; 194160969; 664363602; 574021846; -1; -1; -1; 605185413; -1; 462374529; -1; 702948676; 123773690; -1; 441948355; -1; 158561556; 601279951; -1; 32071907; 536451356; 554735432; 409099956; 420799375; 582441041; 53209036; 569750589; 725653593; 724207096; 846918566; 134373614; -1; 485612390; 711777165; 129572166; 70898675; 944586553; 333990507; 580448334; 94852382; 15519672; 986310891; 56748576; -1; 832518076; 767331258; 859533786; 725906188; 172276386; -1; -1; 357441966; 315885446; -1; 933448847; -1; 726760807; 459969031; -1; 895906268; 928022848; -1; 999646343; 788965541; -1; 822764910; 834463964; 548417853; -1; 834291485; -1; 561617072; -1; -1; 687426003; 919724138; 246003249; -1; -1; 802115712; 648247783; 624185828; 386871908; 353880512; 543083403; -1; -1; -1; 406930650; 393962192; 598435041; 688425166; 937288753; 20756890; 511980268; 39307347; 937719341; 418686854; 965467247; 929705010; 810817312; 932095294; 42440982; 542584439; 911536145; -1; -1; -1; -1; 389861010; 415428009; 807827451; 319882934; -1; 865575484; -1; 898586769; -1; 701784279; 816670872; 938265997; 958923379; 178962101; 705416888; 109526228; -1; 611858442; -1; 904258507; -1; 957405663; 366156654; 470526469; 387071473; 757415254; 541784535; -1; 641685834; 281873227; 149349489; 789217161; 515105666; -1; 892556086; -1; -1; 577694949; 973754548; 924227483; 202958250; 596428782; 892842701; -1; 808623460; 901937195; 897586486; -1; -1; -1; 504600622; -1; -1; 326333538; -1; 124749537; -1; -1; 148724584; -1; -1; 277298893; 794114811; -1; 176646260; 919113810; -1; 384070664; 699971170; -1; -1; 767247365; 615575865; 348535775; 494092655; -1; 112753877; 343113965; -1; -1; 408523313; 837912066; 795337901; -1; 517455074; 292433655; 710708287; 824674265; -1; -1; -1; 427012885; 127894010; 643321185; -1; 758193637; -1; -1; 73278490; 417910078; 171689795; -1; 802794840; -1; -1; 890082807; -1; 656047081; -1; 422750532; -1; 474473023; -1; -1; -1; -1; -1; 381516290; 545800071; 843813357; -1; -1; 569680295; 160559195; -1; 983737438; -1; 86959385; 161874811; 839746108; 678774793; 517430550; 382220624; 257250001; 167110157; -1; 608355255; -1; -1; -1; -1; 489125637; -1; -1; -1; -1; 891969992; -1; -1; 951894389; -1; 489406575; 106741702; 283705678; -1; 702985216; 136241356; 577164403; -1; -1; 711526819; 617321079; -1; 528433107; 612304451; 139699240; 404724765; 788435233; 908873850; -1; 187782668; 574493060; 628029875; 529414924; -1; 593814125; 630662361; 631380563; -1; 294304785; 172206695; 744881989; 554744009; 12736910; 498867731; 796586675; 830153887; -1; 263914380; 190379512; 218713168; 202852734; -1; 942996836; 186658607; 976917770; 883849357; 814163357; 579890323; 506821732; 378171089; 849929802; 921005098; 520702170; 951785319; 197699760; 686798323; -1; -1; 920515572; 78784143; -1; 710475859; -1; 151403286; 839330966; 414353577; 754391318; -1; 835162819; 346507959; -1; -1; -1; -1; 687989687; -1; -1; -1; 987680729; 694922431; 636721482; 191544941; 923869084; 241147822; -1; 451689504; 365141300; 443231083; -1; 228703714; -1; 969663201; -1; 242110317; 97072675; 511050283; -1; 115176604; -1; 647729680; -1; -1; 688079826; 119207677; 674650115; 772368879; 992189670; 39083352; 552423759; 227219492; -1; 33895376; 728399177; 737753573; -1; 838213090; -1; 748204529; 968202881; -1; 237241084; 857693518; 230007067; 424212282; -1; -1; 235817716; 179272454; 62387846; -1; 529038821; 872098780; 903976511; 85437810; -1; -1; 483125319; -1; 101343601; 688268509; -1; 41184726; 610673835; 805318809; -1; -1; -1; -1; 999102357; -1; 572432341; 601838982; -1; 435760359; 535249470; 71586970; -1; -1; -1; -1; 122254681; -1; 115298771; -1; -1; 66810604; 256955989; -1; 563765849; 774088723; -1; 62139478; 526811326; 558993931; -1; 878397004; 352066988; 437776445; -1; 606311493; 11905386; 224832716; 845276767; 562379076; -1; 496419995; 723912234; 78771581; -1; 522405441; 353131248; 90977228; 376994453; 182561281; 809363485; 561576002; 722431346; -1; -1; 824337735; 778456846; 774360945; 327129372; 511134687; 559002030; -1; -1; -1; 811392936; 52950239; 553856487; 977296572; 306943174; 881466031; 628082894; -1; -1; 921514340; -1; 948557649; 623525418; -1; -1; -1; 197612413; 375281385; 370412756; 657053371; 993762323; 559868453; 420561649; 828912506; -1; 355891695; -1; -1; 361779265; 820732342; 977811161; 887845256; 840089994; 455244048; 63302053; 538818833; 375566276; -1; -1; 722074721; -1; 708903922; -1; 329543090; 486922324; 77951855; 581827820; 368168072; 500272493; 289127074; -1; 740722530; 592725074; 965078615; -1; 969314801; 475051916; 959549267; 336502526; 329659512; 884681947; 849771922; -1; 491865835; 44253541; 181945612; 495840320; 197127046; 297181360; 118565644; 130174991; 328699451; 523668088; 393882475; 964363331; 469345032; -1; -1; 338480981; 484375848; 303669005; 838752311; -1; 224832495; 318245009; 26012939; 707990943; 754951917; -1; 497057474; 61145540; -1; 954908333; 225396705; 775933726; -1; 949667534; 455329816; 307196758; -1; 860332040; 582401647; 678016866; 262769880; 394061299; 552011165; 938235893; -1; -1; -1; 968393708; 591942844; 541808961; 597682797; 152113264; 954424468; 558964773; -1; 821649258; 387926052; -1; -1; 130670469; -1; 7739825; 679496196; 568296889; 259358624; 472690031; 934013265; 482447633; -1; -1; 243960290; 26226006; -1; -1; 591598298; 65173776; 870262279; 284217821; 136922011; 372800154; 733885198; -1; 433678431; 457915873; -1; 24613729; 1341907; -1; 818763621; -1; -1; 846891374; -1; 758397038; 99691157; 898396351; -1; 171310940; 485244235; 630873119; 431105634; 40276657; 448738471; 509073952; 294081263; 564178200; 499569310; 778603742; 391833676; -1; 906926040; -1; 456530666; 811791853; -1; -1; 855985539; 228735972; 951647790; 482218015; 192572934; -1; -1; 768023994; 339327624; 524688124; 247890969; -1; 475747083; 161475865; 582542586; -1; 388076160; 750920419; -1; 8886918; -1; 265916327; 711234513; -1; 497852925; 919626121; -1; 786802336; -1; 737468498; 366667040; -1; -1; 911974813; -1; -1; -1; 798857112; 862301195; 322482312; 573629940; 693014044; 993445369; -1; 297274862; 290031864; -1; 175450485; 946604520; -1; 82884389; 239102164; 367437919; -1; 793601224; 182312099; 964771753; 744727500; 737828289; 682806669; -1; -1; 770740857; -1; -1; 65154509; 790933359; 361089669; 599031638; 102535143; -1; 433253848; -1; -1; 205077495; 910258024; 708456715; 956996411; -1; 466443851; -1; 249405274; -1; 370821187; 98315450; 663837990; -1; 266025790; 77675118; -1; -1; -1; 146820632; 815550987; 558538491; 258685431; 172228587; -1; -1; 719572133; -1; 136916606; 122164288; 345960928; 801938899; 512332886; 683953693; 502262893; 233465424; -1; 945328703; -1; 851341824; -1; 32761507; 330491036; 177434158; 327105034; 914690031; 772096650; 663820472; 313284530; 389511307; 811180916; -1; -1; -1; -1; 971770331; 805920935; 672525697; -1; 839080832; 139650298; 479423149; 697582354; 750315517; 825667008; 644601673; 178714891; -1; 537740266; 731651874; 754530670; 940160372; -1; 815356250; -1; 262904070; -1; -1; -1; 280663058; 33220495; 817334373; 625016917; 96930264; 27812480; -1; -1; 93739008; -1; -1; -1; -1; 220355930; -1; 872640531; 868051937; -1; 219586916; 249511210; 497631924; 329387482; 267859517; -1; 387242604; 82501697; 283558355; -1; 341419281; -1; 303045248; -1; 733333226; 535468787; 322628580; -1; 518709894; 729823873; -1; 42144169; 695581523; 680600570; 453182077; 561682902; 160167842; 225487105; 367538302; -1; 105864519; 599059353; 492064997; 336252669; -1; 160537118; 960097513; 121708900; -1; 145464033; 605306277; 923368099; 50789701; -1; -1; 672115729; -1; 291001609; -1; 359535188; 433668707; 718553798; 991090209; 477997558; -1; -1; 686941682; 25255570; 292556752; 583344070; 808976785; 553097209; 726034823; 627402104; 343439640; -1; 214600671; 920423688; -1; -1; 636993325; 168590811; 360958260; 981704429; 446996908; 891703991; 272043553; -1; -1; 137067490; 357552431; 80760283; -1; 905408856; 364818927; 648942461; 546415394; 505598251; 663416735; 950055686; 146687274; 322998194; -1; 669878170; -1; -1; 28091087; -1; 736245774; 767506175; 816697502; -1; -1; 652360982; -1; -1; -1; 619703237; 118986903; -1; 934174181; 315234677; -1; 90226893; 539784158; 138159385; -1; -1; 166846280; 852711139; 852950941; -1; 577273529; 407297266; -1; -1; 24192004; 282569972; 796886885; -1; 393022072; 673569195; 341148780; 900676971; -1; -1; 184873716; -1; 690994176; -1; 698990180; 498239789; 51137705; 511668312; 193598567; 654291283; 175254226; 796208447; 338461694; 271889264; -1; 266246700; -1; 801713132; 959895746; -1; 595448263; 777849725; 147486637; 514040085; -1; -1; 894687269; 261108356; 119673640; 2035707; -1; 374350267; 468519056; 915935708; 253916918; 392840141; 266195792; 66610892; 822553417; 292927664; 278311690; -1; 167481142; 421659873; 53790449; -1; 637350629; 684550995; 297430903; 75119269; 66434091; -1; 550652789; 127355464; 849516700; 947686067; 104896791; 262167507; 75779759; 936231829; -1; 916001383; -1; 26624978; -1; -1; 506313124; -1; -1; -1; -1; 680386237; -1; -1; 578733064; 17527612; 245050657; 696578748; 62174597; 873552611; -1; 660186008; 11720310; 70155927; -1; 777123070; 763802267; 876675821; -1; -1; -1; 79669267; -1; -1; 53241569; 985268485; 255728786; 11933594; -1; -1; 986063466; -1; -1; 2725724; 272658097; 775485318; 700525930; -1; -1; -1; 34767013; -1; 130352779; 579622867; 2261911; -1; 406293885; 773270047; -1; 400284235; 51935677; -1; 506062263; -1; 501504102; 580352493; 626785181; 249270210; 742535938; -1; 624482336; 744151299; -1; 520811237; 53351629; -1; -1; 232510746; 917066132; 834450549; 453580222; 162261523; 853585797; 5835078; 852976581; 672133498; -1; 998928857; -1; 36500957; 169774238; 410915396; 75994220; 312755791; 408098561; -1; 38235283; 984489628; 531098287; 419281872; 559320174; 895635762; 525769331; 24906462; 224526337; 442695716; 273224100; 11155922; 901465746; 581804609; -1; 600322865; -1; 772155620; -1; 708825575; 363014771; 123837731; 770244786; 485099515; -1; 428805882; 149805769; -1; 983884967; 843334934; 878224912; 482977208; 487246638; 448475690; 465712376; 994041060; -1; 955769018; -1; 890353991; 132696075; 282159431; -1; -1; 227596043; -1; 171697550; 586519761; -1; -1; -1; 59178406; 53652639; 129745056; 452075667; -1; 350958746; 25215852; -1; 495843451; 263415352; 178067900; 520695429; 505357279; -1; 192274899; -1; -1; 644812737; 168098748; 826963556; -1; -1; -1; 860987909; 790439003; 683705289; 572830728; 597739614; 175925728; -1; 35840087; 751565271; 563072568; 799849848; -1; -1; -1; 902567152; 877480342; 791026602; 678781284; -1; 271237143; 120808253; -1; -1; 492513972; 291045844; -1; -1; 569248449; 575420078; -1; -1; 831553464; -1; 368945302; -1; 401096023; 638280657; -1; -1; 68567954; 569589026; 634845750; 916516671; -1; 664869691; 613302764; 843712271; -1; 230352517; 2567664; 863035553; -1; 263182623; 213880846; -1; -1; 598047502; 634296264; -1; 96277808; 918033373; 745175737; -1; -1; 931085808; 784422801; -1; 553656449; 441393773; 105895687; 140248141; -1; -1; 465580862; 639262856; -1; 946882732; -1; 893576209; 705160162; 784353637; 865133888; -1; 232476702; 459245028; 547892539; 527406814; 991014077; -1; 937955595; -1; -1; -1; 555228622; -1; 861330563; -1; 12037057; -1; -1; 990986455; -1; -1; 359453701; -1; 592334724; 644690437; 469133223; 404616525; 520290846; 334447584; 733920987; 609747589; -1; 998297439; -1; 593518979; 474870634; 404888363; 910535448; 790166839; 82721053; -1; -1; 594219619; 482219582; 378361499; 745461983; 833541924; 795300442; -1; 386291728; -1; 656970665; 504806954; 263852596; 58500798; 803524853; 981800322; 445973731; 222443660; -1; 486205807; 148403660; -1; 34959125; -1; -1; 278379607; 903775567; 746989866; -1; -1; -1; 657941461; 728103652; 604566093; 423966444; 482043339; -1; -1; -1; 448160419; 756840583; 97043371; 258539153; -1; 944084335; 440222721; -1; 331240273; 528245935; 608009904; 312741732; 995246571; 301648967; -1; 3735556; -1; 465910474; -1; -1; 865859440; 114422995; 262393667; -1; -1; 724239462; -1; -1; 708883371; 378961535; 466112105; -1; 719267734; -1; 150700215; 300059456; 100186703; 416848340; 588658238; 858747960; 753125280; 131239199; 813266776; 411377837; -1; 468163293; 265717903; 625793914; 96069747; 400604506; 655543770; -1; 278735476; -1; 303372665; 382130399; 728881563; -1; 647258710; 367950714; -1; 649226966; 669142352; -1; 2972533; 893779407; 232717913; 948915592; 31003867; 215368567; -1; 836952524; -1; 236327429; 682305772; 277844823; 996054476; 35999242; -1; 897987327; 908918946; 902728593; -1; 973853518; -1; 856937250; 447478708; 218746423; 574257316; 617896171; 311712752; 447025875; 367676820; 168846840; -1; 636367543; 820747935; 734663628; 46610881; 866763674; 336831397; -1; 37708401; 312566621; 812530144; 970829729; -1; 280482048; 106462641; 526891648; 729227621; 202406213; 956455968; -1; -1; 816674459; 114215897; -1; 729304749; 905055773; 568625536; 498249142; 159305287; 745256196; -1; 637935375; 835297541; 150667906; 645237244; 486403325; 432350481; -1; 202904896; 909110955; 397062100; 583269450; 797611841; -1; -1; 796392618; 524375111; 705896508; 848129458; 425269755; 869192774; 114121284; 529254725; 744506840; -1; 70151161; 113814318; 901786391; -1; 322856397; -1; 160455565; -1; 819416979; -1; 568789632; 746524031; 594403590; 966759705; 35079267; 61449452; -1; 7726870; 280369942; 54994250; 974816385; 106125964; 311277109; -1; -1; -1; 189673473; -1; 372249634; 943051645; -1; 362743698; 132433427; 623933225; 718209718; 549937943; 643693928; 451319856; 544900725; -1; -1; -1; 320913267; -1; 812808919; 223886722; 187552157; 689086971; -1; 286704860; 389631682; 1415327; 593497607; 642613752; 633108393; 382319732; 611276460; 512896459; -1; 805679246; 440277232; -1; 193487854; 54347306; 568975094; -1; 564944000; 274590524; 236977163; 564238479; -1; 15285002; 206175514; 953257259; -1; 178751094; 129839835; 124760837; -1; 148875408; -1; -1; -1; -1; 906409011; 413524158; 878639979; -1; 57175847; 336722610; 918150931; 105156524; -1; -1; -1; 87195115; 80627149; 651972182; 149802734; -1; -1; 288423583; 995144905; 632082809; -1; -1; 273062714; -1; 162872662; 511429973; 205355869; 564257026; 435100114; 701463639; -1; 336171055; 881888553; 196523839; -1; 354748467; -1; 270988855; -1; 551599449; 740122560; 302164863; 256128284; 425785667; 395527942; 170050303; -1; 801996702; 888173476; 49229834; 553369214; 977362388; 339057575; -1; -1; -1; 908080853; 236934880; -1; 450783772; 91640133; 661365260; -1; 299065230; 259320045; 933585054; 366427571; 611975001; 422934565; 423099611; -1; -1; 171284309; -1; -1; -1; 116805772; 135720044; 671377693; 154158511; 249937523; -1; -1; 149583870; 814532738; 54327113; 91480020; 896707825; 38194823; -1; 143893880; -1; 189543716; 900674868; 702222005; 99892755; 387679731; 72549714; 215999946; 884980011; 604446737; 119898928; 187407544; 103404110; 644609597; -1; 678591312; -1; -1; -1; -1; 798206131; 1735943; 674395672; 431778398; 381957944; 727627546; 24628928; 668673461; 571704913; -1; 253484439; 79407986; -1; -1; -1; -1; 718734306; -1; 588089628; 264012316; 979808067; -1; 982652843; 806218698; -1; -1; 848793567; 567978337; 771505649; 53670077; 745659595; 597190243; -1; 323247879; 264996868; -1; -1; 870005913; -1; 454988759; 793375979; 950271438; -1; 592312809; 828073822; 685398422; 573153881; 211807775; 323292586; 425327309; 917347980; -1; 202101767; 968121234; 59321246; -1; 991196205; 493938304; -1; 687657679; 564874618; 875544958; 636217556; -1; -1; -1; -1; -1; -1; 723045057; 996696458; -1; 483279180; -1; 365585933; -1; 94849050; -1; -1; 851262129; 958877210; 388210944; 350877190; 406394221; -1; 480183978; 804095938; 689407378; -1; 192678885; -1; 107279652; 177014315; 168467380; -1; 799298606; 794657238; -1; -1; -1; 926195122; 538616207; 475679269; -1; 58316979; 338375699; -1; 999227557; 368611131; 776637408; -1; 648511288; 943365631; 370864533; 723714046; 845186928; 949626016; -1; -1; -1; -1; 652884421; -1; -1; -1; 730540681; 593870855; 623605131; 579553609; 969419224; 274289870; 479611514; 858393866; 17560342; 44636397; 941824398; 391232213; -1; 985635197; 190952176; 98938996; 247663038; -1; -1; 740100395; 228574973; 437854680; -1; -1; 717780322; -1; 641193069; 691895130; -1; -1; 608894159; 593444442; 553820539; 274566852; -1; 195878988; 439677691; -1; 142868875; 180808048; 340548255; 789097517; -1; 274405576; 12114503; -1; 107132789; 185624246; 569641563; 841996248; -1; 793609888; -1; -1; 736588802; -1; 122224719; 301868524; -1; 587191706; 289312054; 217252982; 662454453; -1; 103393592; 87155415; 642756949; 231817986; 571010781; -1; 125041808; 93968634; -1; 975964666; 800643377; -1; 962683068; 428551677; 722353109; 429711254; 444613447; 508341235; 74412425; 911447492; 612589244; -1; 462380711; -1; 47604503; -1; 271414555; 696510489; 474937925; -1; 29945264; -1; 626544625; 387353060; 967197282; -1; 697891229; -1; 347024779; -1; 51314666; -1; 652560599; 816414583; 401345750; 298085772; 575570342; -1; -1; -1; 117066236; 465881251; 371874067; 699957778; -1; -1; 578643574; 615374888; 830723292; -1; -1; 248584435; 558121102; -1; -1; -1; -1; 461502339; -1; 832012413; 939304696; -1; 368172451; 584439884; -1; 380589001; 684070038; 872724556; 334809632; 138862425; 752891161; 757057397; 244560321; 905253338; 470529305; 232209255; 880063349; -1; -1; 589855361; -1; -1; 498545834; -1; 123757856; -1; 735563376; 79694039; -1; 22626278; 503773132; 602493504; 381335006; 704393884; -1; 717734644; 586523876; 220001462; 457864073; 693536303; 918008666; -1; 463632071; 264330918; 687919286; 90042022; 754670124; -1; -1; 875715580; 763197798; 113348796; -1; 12599096; -1; 505420197; 191415866; 625694902; 706874; -1; 449697835; 49806391; 280470450; -1; 449625583; 480749462; 470407236; 968203391; -1; 663714764; -1; 560271136; 864281174; 913356268; -1; 925316510; -1; 410405182; 1641700; 328540339; -1; 892724325; 119213534; 728607043; 586556131; 42440369; 59057109; 676019245; 610414981; -1; 433575351; 732918445; -1; 350995221; 746452701; -1; 66955464; -1; -1; -1; 228536181; -1; 833947994; 691153032; 906239093; -1; 127425911; 479339344; -1; -1; -1; 835126527; -1; -1; -1; -1; -1; 497477992; 470329018; -1; -1; 458747980; 84764074; -1; 828518606; 606705338; -1; -1; 801087792; -1; 670015726; 806449038; 818316744; 536481354; 998573673; 303183562; 800243498; 711516261; 829862926; 98287381; 17043054; 766236030; 159383895; -1; -1; -1; 575804681; 390331942; -1; 49263493; 318698508; -1; -1; -1; -1; 661397871; -1; 703071205; 665174375; 972524596; 105595688; 704486331; 655571405; 950001145; -1; 87431918; -1; -1; -1; -1; -1; -1; -1; -1; 989400232; -1; -1; 366234929; 282357596; 357594793; -1; -1; -1; 150903394; 584527678; 759440014; -1; -1; -1; -1; -1; 347418456; 921582220; 891118009; -1; -1; 305979782; 127466568; 874918229; 991280538; 155427095; -1; 59029040; 642365890; -1; -1; 901068833; -1; -1; 261270918; 200919134; 749847278; -1; 640308166; 979206312; 809465443; -1; 517390363; -1; -1; 661267949; 876012905; -1; 642412598; 555578880; 651558857; 845375032; 595206820; 572226115; -1; 63247909; 942854310; -1; 150125989; -1; 181555790; -1; 5409643; 704101738; 469207117; 533832490; 624875164; -1; -1; 813365064; 483720446; 146390966; 72837969; -1; 794431503; 566573084; 62146725; 525102638; 781333557; 53210646; 562730413; -1; 633399852; 594616330; -1; 652587314; 821587973; 763689383; -1; -1; -1; -1; 927120998; -1; 293313476; 867879944; -1; 589575090; 82049690; 886006270; -1; 460100426; 364914662; 172664440; -1; 469949676; -1; 130166102; 123692517; 391716852; -1; 547588442; -1; 30346394; -1; 909693764; -1; 982230019; -1; -1; -1; 833571553; 394996159; 570045565; 369902479; 567197858; 408154475; -1; 5988426; 781322352; 894847563; 128543517; 821158025; -1; 574183938; 578445472; 581563901; 853091473; 823845423; -1; 592098503; 665274072; 982875591; -1; -1; 979437289; 276505050; -1; -1; -1; 403574570; -1; -1; -1; -1; 462841836; -1; 800336067; 588748799; 962121289; 861044595; 460306035; 669803533; -1; -1; -1; -1; 99892827; 896236480; 593470426; 913614502; 422277042; 910602813; -1; 95442206; 601290184; 303887595; -1; 822563900; -1; 470397449; 196866711; -1; -1; -1; 371240712; 646987404; 33203324; 68832805; -1; 396703485; 36862460; 162748805; 509954098; 362317237; -1; 819959791; 727699053; 578271403; -1; -1; 985686150; 193922493; 824193068; 758294390; 866272280; 344866156; 12613117; 237109767; 218435664; 496257828; -1; 206154915; -1; 424501619; 557667011; 948330703; 23765663; 605730269; 292498611; 163424064; -1; 745896078; 132900196; 213771708; 739603204; 922127003; 854541792; 295315315; 246488814; -1; 829297232; 449364665; 454213077; -1; -1; 937711139; 653089008; 617636484; 889621312; -1; -1; 304693572; 729420208; 952001448; 927066266; 255224033; 816797282; 700705529; -1; 861805504; 300300856; 94374638; 705960180; 846811081; 914513863; 263442429; 506274494; -1; 580767335; -1; -1; -1; 761157009; -1; 103697033; 646064655; 342562133; 956466256; 466728175; 56563171; -1; -1; -1; 503502938; 899286365; -1; 472132120; 169409161; -1; 576165155; -1; 407141985; 796028462; 242126117; 628553252; 588554432; 668888134; 372125753; 808060181; -1; -1; 576828236; 361533735; 604614907; 177148173; -1; 850170614; 419735277; 56704362; 88530983; 401909654; -1; -1; -1; -1; -1; 605382740; 90265357; 413834115; 66093272; -1; 43649678; 423023280; 390562761; 566995433; 183279893; 152963883; -1; 705281467; 930216924; 497069949; -1; 945421126; -1; 943833237; 894401923; -1; 680441680; 62037806; -1; 674527194; 716921905; 374570248; 994834174; 487494223; 437669009; 390106472; 228227510; 854580544; 568438785; 414894903; 765168392; 534763772; -1; 805246862; 818860097; -1; 928812593; 82649346; 502228628; 102694813; 927611190; 850199359; 536966700; 953489110; 49407790; -1; 333193819; 898735973; 615804258; 947315714; 485129921; -1; 683320163; -1; 974530105; 450184648; 800388444; 150382749; 544229158; -1; 106681858; -1; 231660454; -1; -1; 128622334; 90670865; 689746866; 934228715; -1; -1; 95997765; 487288810; -1; -1; -1; -1; 235278977; 594649310; 590722492; 817451358; -1; 709991467; 939310609; 208605638; -1; -1; -1; 247519300; 837186714; -1; 780170847; -1; 231919065; -1; -1; 669787577; 575380759; 66055353; 69894928; 659238552; 676459827; 436936683; -1; 632057170; 294837917; -1; -1; -1; -1; -1; 367187817; -1; 997225409; 489354476; 567906584; -1; -1; 459625704; 496068589; 540036159; 299995405; -1; 349225707; -1; 934080782; 20781407; 482309353; -1; 746845826; 95883985; -1; 910472169; -1; 882881860; 772109830; 315429164; 370858315; 743629766; 230958454; 81186230; 308568226; 634515291; -1; -1; -1; -1; -1; -1; -1; 267911569; 200045251; 403970354; 248445774; 487206965; 421392833; 978753528; -1; 931921753; 276199466; -1; -1; 368486635; 467717564; -1; -1; 571008842; 962104394; 917169419; 2215220; -1; -1; 46746992; 326233399; 347461909; 827265159; -1; -1; 882661647; 328995623; 93594638; -1; 988579006; -1; 924494605; -1; -1; -1; 61396166; 432829977; 607119923; -1; 684989075; 139474858; -1; -1; 52307112; 240522978; 26582397; 851647951; 74537954; -1; 872065265; 144267194; -1; 975925847; 705921637; 346891994; -1; 550962181; 38587805; 871891954; -1; 26535681; 387720671; -1; 248230699; 123640425; -1; 924540454; 867290671; -1; 109838898; 179669709; 515054135; 209478076; -1; 121561110; 188252486; -1; 518197892; 887988483; 761922705; 454810075; 251152616; 73882246; 502233880; 177462282; -1; 35450958; 921430160; -1; -1; 10996954; 32602172; -1; 372028239; 312089922; 196032428; 700302009; 978430272; -1; 252578072; 71142491; 260314061; -1; 829156329; 290243651; 587739675; 83176197; 395311030; -1; 47875022; 282055011; -1; -1; 278650545; 400367919; -1; 385693475; 621783441; -1; 574586897; 395339211; -1; 476070196; -1; 849731319; -1; 845148988; -1; 23739219; 84968246; -1; -1; -1; 113506850; -1; -1; 512937002; 568688996; 932335897; 233532878; 304582302; 637933349; 954435834; -1; -1; 28328972; 881777390; 802330300; 113327822; 60296866; -1; -1; 428017138; 747420101; 634140923; -1; 935265133; 469775911; 195988705; -1; 818130303; -1; 552425878; 231296551; -1; 332623627; -1; 625786762; 717484456; -1; 792062667; -1; 381611391; -1; 464236545; 260294437; 27319769; -1; 755119482; -1; 95262393; 596942672; -1; 719675641; 954610239; -1; 670255576; 631429153; -1; 870218494; -1; -1; 106894456; 9015455; -1; 756493867; 11198828; 949168355; 9699661; 232516717; 919962824; 986173636; 884864312; -1; -1; 485791879; 394146603; -1; 534843085; -1; 813958917; 192236297; 609072478; -1; 927016535; 152261114; -1; -1; 53021992; -1; 871324371; -1; 63182702; 982661168; -1; 986479086; 296827500; -1; 308805677; -1; 191800468; -1; -1; 992536080; 631613893; 379755039; 480499655; 299154956; -1; 549076683; 55549439; -1; 903627255; -1; 59189390; 757780541; -1; 452026138; 843273967; 627032167; -1; 511953783; 354809946; 735301620; 417827639; -1; 999621291; 250123099; 646596802; 879912726; -1; -1; 944616925; 477761656; 688283510; 593461755; 491775119; 266762090; -1; 488888501; 573149829; 305901100; 833396191; 336787879; -1; 298535624; -1; 22433139; -1; 56872786; 200807653; -1; 981429712; 440195464; -1; -1; 425268066; 717532456; 532747570; -1; 404830042; 429566590; 663607677; 45525814; 985103919; 239729429; -1; 544671380; 855329278; -1; 240809238; 710489446; 313040053; -1; -1; 16281221; 181139091; -1; 621728091; 967841487; -1; 714846746; 606464752; 201199025; 371944725; 642930326; 918944975; 916664842; 818744439; 604996858; 616092145; 815443729; -1; -1; 274845337; 40474433; 130632416; 150955047; -1; -1; 586851812; 415860018; 654085891; 650170875; -1; 761380530; 120905396; -1; 226116127; -1; 998993547; 271403069; 984407396; 829575961; -1; 771768526; 920981388; 425796561; 597807879; 78816033; 853200080; 287244875; 577848154; -1; 467805777; -1; -1; 607768415; 269740166; 722673958; 242170686; 605521711; 649202967; 85566581; 166731111; 766839681; 507828737; 740689193; 499633978; 989145915; 2563786; -1; 472135028; 18017972; 936310281; 809311223; 666202680; -1; -1; -1; 935538048; 707776922; -1; 379274253; -1; 532079547; -1; 497350581; -1; 645357033; 187309339; -1; 698656498; 136589459; -1; -1; -1; 19192111; -1; 574475053; 82251264; 948836982; -1; -1; 955670329; 25420356; -1; 89307869; 713022468; -1; -1; -1; 335709701; 596734217; -1; -1; -1; -1; 132015143; -1; 232722197; 951393019; -1; -1; 94434671; -1; 432867437; 720321817; -1; 579675639; 304450748; -1; 828616934; 495109237; 4656201; 373340450; 251801787; 502169677; 257791893; 313044540; -1; -1; 586428076; 173642279; -1; 742596239; 561690363; 961505148; 411238890; 472715945; -1; 811197004; 539838848; 262585647; 76300810; -1; 333262402; -1; -1; 443477609; 597482553; -1; -1; -1; 346878758; -1; -1; 340177929; 924245090; 768973619; -1; -1; 52300086; 27465300; 26888994; 116211624; -1; 947501367; 453806465; 382994366; 834264626; -1; 206856022; 40769922; 60373899; 277346988; -1; 701223257; -1; 886376855; 475478017; 602256834; 214727724; 501718629; 820742667; 138447698; 330888981; 725993577; 58129909; 13958708; 160186888; 523261888; 668372638; 43495533; 760126992; 44662012; 691154094; -1; 938134691; -1; 29959545; 684315486; 617817687; 598087598; 463824366; -1; 651066087; -1; 484998463; 998486422; -1; -1; 225663689; -1; -1; 961530399; -1; 532890290; 177522987; 992281871; 328683366; 260569431; 333471093; 551392851; 381824201; -1; -1; -1; -1; 548785819; 194452841; 636934379; 491749239; 235558102; 704074548; 463999170; 859020041; -1; 83364611; 540333991; -1; 927725576; 409817074; 966343846; -1; 148814416; 403670406; 807106557; 238228565; 193083671; 524777841; -1; -1; 339377404; -1; 880116110; -1; 664856845; -1; -1; 997465740; -1; 622830897; -1; 289995545; 577075897; 407307285; 663228159; 415059894; -1; 463997863; -1; -1; 89577109; 725802396; 909305629; 567882588; 663792816; 227369062; 68731602; 186610881; 389456355; -1; 242129107; -1; -1; 984538533; 73269873; 340214852; 554327527; -1; 339383486; -1; 910460105; 635728469; 52049657; 211846437; -1; 823969224; 307001125; 986691927; 210063445; 503709028; 233597122; 477465769; 518779412; 763698560; 318746610; 241793453; -1; 52096958; 198671300; 37752511; -1; -1; -1; 981370817; 193612162; -1; 537286604; 312843334; -1; 347092063; 919705290; 547688325; -1; -1; 816771445; 43007067; 979356992; -1; -1; 403452479; 995590909; 871449339; 952834400; 653142122; 121079547; 934762871; 809858366; -1; 44701846; -1; 816913680; 831978075; -1; -1; 55971751; 833714709; 725249373; 752974406; 326022409; 388912355; 393176404; 888911309; 58347150; 115429874; 309686260; -1; 286973473; -1; 598046480; 165554392; 950828700; 948550905; 740566058; 839611170; 467125150; 890686530; 330682612; 703661214; 747154630; 682777763; 588488522; -1; -1; -1; -1; 247156585; -1; 301556846; 459966682; 919075064; 500004978; 807017792; -1; 902702757; 237334494; 464732383; 124731411; 748663211; -1; -1; 631068266; -1; 532495346; 155711068; -1; -1; -1; -1; 68051174; -1; 876976008; 257226935; 130301221; 19128138; -1; -1; 820631920; 765564458; -1; 615584776; 746090658; -1; -1; 566797865; -1; -1; -1; 996212490; 653613334; 173011504; -1; 204476837; 656765166; 891794703; 71002724; 724796666; 79862740; 282202528; 369227670; 852731871; 79881840; 271588470; 749638684; -1; 329478798; 712925980; -1; -1; 958368277; 816589957; -1; -1; 512455090; -1; -1; 499017520; -1; 874961353; -1; 901201439; -1; -1; -1; -1; 258120279; 604558575; 901948449; 955009937; 467522042; -1; 584208971; 128154463; 694811044; 759269204; 620727834; 477373828; -1; 918910626; 208077663; 530842918; -1; 58528954; 501103172; -1; 487551639; 631096842; 359909459; 684486256; 803575937; -1; -1; -1; 145181690; -1; 487426088; -1; 164630331; -1; 814536573; -1; -1; 27918198; 427073533; -1; 517350856; 913734271; -1; 692855332; 186062624; 202723937; 995226230; 608432567; -1; 292601042; 833010403; 979773718; 565181151; 88156077; 842743903; 855776159; 611170862; 744828160; 674158442; 360929039; 807675561; 568418318; 927340944; -1; 327012875; 609664842; 754309738; 186852413; 99197193; 674855566; 465248352; 575670878; 676963663; 245242616; -1; 322574719; 460837670; 258472331; 220766760; -1; 774913385; 393255198; 95358554; 383807031; -1; 286018028; 784919843; 83428765; -1; 55264166; 754609055; 838176707; 881903639; -1; 467161559; 696399733; 754593818; 192409719; 431262139; 76657003; 234761229; 557371365; 57956160; 654295433; 960173614; -1; -1; 762516775; -1; 599852853; 226775248; -1; 25462090; -1; 97329882; 361566443; 51533969; -1; 597419499; -1; 459171912; 781681722; 372539414; 375207571; 817409539; 457637207; -1; 485213152; -1; 298770705; -1; -1; 539570179; 95479451; 814024621; 63342624; -1; -1; 751427792; 901558866; 702573310; -1; -1; -1; 795204272; 817411650; 769412701; 694223312; 900503997; 250713772; 527472590; 274065877; 742646721; 617467723; -1; -1; 75597755; 526462898; 982353204; 13249156; 896076386; -1; -1; -1; 405780919; 77688258; -1; 861050471; 674859238; -1; 508790547; 642107244; 777781620; 71340640; -1; 134574799; 540606510; 343143476; 820766921; 757882433; -1; 323511569; 271276591; -1; -1; 627184552; 844436152; -1; -1; 732659341; -1; 975174310; 867917689; 219552020; -1; -1; 215454373; 416213006; -1; 785881168; 336209396; -1; 774034175; -1; 36045264; 276180958; 334729844; 503969219; 304432095; 607749735; 147785588; 989967466; 365334148; -1; -1; -1; 795130573; 12881199; 761779591; 685972361; 291845102; 891129467; 746607201; 938903533; -1; 559678539; 252688188; 93369414; 101409231; 609759865; 658146179; 700200613; 932667032; -1; -1; 320719984; 972721151; 301412420; -1; 118341936; 944540991; 864573540; 730550756; 98737692; 695473140; 887464533; 4822917; 833748051; -1; 892108046; -1; 896207869; 448076748; 774146534; 193741966; 880607548; 754435479; 678530505; -1; 543146777; -1; -1; 426966614; 690132554; 62480137; -1; 845783864; 369273268; 204085414; 822500451; 50028991; 485093724; 715092438; -1; 438092025; 84417074; 157109661; -1; -1; 994238449; -1; 500623807; 231421843; 545144045; 673865829; -1; -1; 104157515; -1; -1; 772019999; 179452137; -1; -1; 185379985; 843484189; 911593676; 248211523; -1; 342474199; -1; 522396265; 821716244; 255713996; 964889036; 853177410; 471061812; 212753779; 528908688; 981015135; 338800765; 610659282; -1; 277425386; 226466701; 581564849; 436113135; 329399279; 981314331; 90406058; -1; 454938983; -1; 474265771; 785359854; 611527245; 690273975; 425423596; -1; 32653042; 104441274; 599174738; 693352747; 121187420; -1; 925172921; -1; 931943044; 546076076; 595372503; 812446451; 580873514; 736777041; 945634254; 300986966; 158561935; 814252723; -1; 447846840; 879011821; -1; -1; 310456227; 217174701; 133111254; 122755991; 563210904; -1; -1; 922725265; 557952032; 525234545; 690612567; 816192792; 660586865; 270677488; 928799467; -1; 271065871; -1; 434058806; 653453728; -1; -1; 445538336; -1; -1; 797875543; 43273790; 84983474; 352409318; 246008851; 471772499; 317961834; 917788926; 433131151; 692867164; -1; -1; 925095538; 383286297; -1; 41246989; 480212340; -1; 586960199; 193373167; 878438615; 751024369; 164777623; 65163984; 417988498; 286350567; 140455169; 435858968; -1; -1; 783532460; 198995440; 591253441; 394112200; 487557484; -1; -1; 20575640; -1; 18658813; 713562148; 211028371; -1; 975372424; 668620177; 682219247; 466073729; 571712524; 571605868; -1; -1; -1; -1; -1; 701479219; -1; 242541867; -1; -1; -1; -1; 735555982; 544692190; 167375976; -1; 90513411; 808467281; 799217618; 665073694; -1; 423938528; 500508573; 448430966; 613314321; -1; 495515960; -1; 959266805; 136181877; 842337933; 505879491; 504295133; 460481329; 186711263; -1; 849308830; 358439159; 669142167; -1; -1; -1; -1; 577530933; 480877266; 196843668; 532417875; 316051023; 203900444; 355733722; -1; 248309333; 843175723; 286804288; 827792410; 560241175; 959719894; -1; -1; 843431138; 266624156; -1; 783365060; -1; 399513905; 371363444; 855574500; 539255889; 531633166; -1; 254981475; 440482307; 147522923; 606310441; 533175704; 667592144; 787147897; 131477585; 186456772; 571077683; -1; 363512971; 332409072; 682313288; 526132839; 577868114; 651372776; -1; 432223441; 412108048; -1; -1; 91589738; -1; -1; 159840774; 423321599; 845596855; -1; 682961763; 632652741; 224964080; 363923919; -1; -1; 984571952; 975038723; -1; -1; 704202396; -1; 468385418; -1; 200611776; 222373230; 874916057; -1; 613273495; 678494162; 852322355; 232925544; -1; 473242367; 653267755; 51425753; 749129278; 409849580; 561781938; 568955872; -1; 921534483; -1; 963017237; 820800269; 864662112; 197589235; 287317199; 966881139; 644405375; -1; 906958882; 359722614; 147720086; 489616050; 680697325; 235881331; -1; 821821463; -1; -1; 109758475; -1; -1; 422685031; -1; 550151461; -1; 296165039; 307998788; -1; 670399712; 66980253; 95457730; 474427808; -1; 23012520; -1; 523119963; 757495320; 721207772; 699699127; 294816667; 195620394; -1; 588985924; 372367248; 599199735; -1; 254637783; 284685024; -1; 98463368; 717335478; 676491766; 228629318; 818387663; -1; -1; 272166045; 279363633; 798189849; -1; -1; 155093229; 883868748; 891510099; 893069994; 30338093; 31329577; 728674602; 223469788; 888639106; 653355838; 60740379; -1; 890618905; -1; 351297187; 641384671; 472530726; 318420181; -1; 613370024; 725593466; 73444979; 132312319; 582075619; -1; -1; 375001460; 368912728; 368137436; 345702619; 496137163; 405047235; 964123688; 654882632; 821416571; -1; 605679069; -1; 412462528; 97629661; 821716800; 891794798; 663954818; -1; 451384432; 628459512; 1753700; 815934540; -1; -1; 311480038; -1; -1; -1; -1; 441319688; 254452083; 765018830; 313542131; 131319814; 872599203; 990031638; 227959939; 149445934; 648529177; -1; 653976500; 744822788; 451983404; -1; 442783951; 759996221; 508439539; 121420003; 722161868; -1; 924272346; 957236061; -1; -1; 327858175; -1; 762772396; 29612297; 638620754; -1; 211074415; 468139428; 382060062; -1; 220071356; 650459976; 961360162; 36640335; 600576706; 982588268; -1; 889371288; 908258649; 696109620; -1; 434142779; -1; 185563777; 598547827; 233243906; 273544267; 815532429; -1; 514253185; 500650335; 240762323; 575336226; -1; 133319612; 189015396; -1; 587064872; 771815443; -1; 325747574; 796399729; 559176666; 248504139; 592791345; 799126719; 311394174; -1; 660544192; 97885298; 597022477; -1; -1; 167852319; 8414763; -1; 593491009; 728923767; 980204106; 748414427; 139243552; 40158932; 953722161; 744465227; 311313357; 684697504; 412602056; 480393468; -1; 406911705; -1; 529068884; -1; -1; 429705240; -1; -1; -1; -1; 211914122; 207010765; 703253135; -1; -1; 443319967; 831871931; 346732833; -1; -1; -1; -1; -1; 51883736; 476881072; -1; 689389420; 293515149; 961522910; -1; -1; 693651261; -1; 502961862; 254802531; 172409234; -1; 388108290; 16542820; 482323071; 340689469; 955504387; 878578320; 967907114; -1; -1; -1; -1; -1; 307645066; -1; -1; 41617839; 434483074; 653611389; -1; 602856044; 60583909; 964724522; 330634969; 497161391; -1; 689080230; 481039449; 379032371; -1; 273904372; -1; 683710235; 594967260; 611206687; -1; -1; 215159561; -1; -1; 662779762; -1; 60361478; 177205236; 911163565; -1; 46832625; -1; 420167522; 985272086; 705911361; -1; 312423914; 254194228; 930092767; -1; 110720856; -1; 762381173; 774099910; 145924084; -1; 213631430; -1; 217561449; 882744530; 613376571; -1; 986652562; 181295945; 552134992; 818965937; 236510455; -1; 684692556; 657411223; -1; 394953682; 65158692; 962906000; -1; 296837824; 684130929; 884132086; 384456471; 92798819; 497140440; 281019183; 798932873; 161432913; -1; 857567677; -1; 577537306; 349981847; 103983582; 932584611; 309888318; 636336738; 185328622; -1; -1; 744694332; 346488003; 268810957; -1; -1; 269009029; 393931091; 21970258; 103738397; 275024069; -1; -1; 371200259; -1; 13850856; -1; -1; 84800977; 753777510; 34362342; 349548050; 34873531; 868091760; 999898173; -1; 206343059; -1; 853526259; -1; -1; 556072875; 959391255; 764965101; -1; 685132365; 745720385; -1; -1; 383035469; 615587314; -1; -1; 991072076; 365031944; 287222116; -1; -1; 681519318; 418350511; 696384826; -1; 786388863; -1; 211891883; 140714277; 545248413; -1; 352816636; 883692738; 242475514; 392947611; -1; 337814962; -1; 28566780; 819619448; 365963743; -1; 669512243; -1; 643382115; -1; 213622201; -1; 47000274; -1; -1; -1; 507950352; 934811968; -1; -1; 56733188; -1; 496899593; -1; -1; 799391809; 421365920; 210312909; 706796858; 948087478; 478453603; 49701033; 211059771; 87623836; -1; -1; 295562456; 136548547; -1; 798905379; 780389262; 302251311; 992324006; 706330163; 221177224; -1; 646388165; -1; 648522755; 135341637; -1; 415430017; 288229737; -1; -1; 439246459; 617602052; 393527729; 250929494; -1; 989502920; 223487196; 988025746; 872121342; 124393952; 465758276; -1; 885172831; 716087970; 730884705; 212661659; 766230854; 244984106; -1; -1; 254003218; -1; -1; 600474308; 940277842; 140884132; 57067342; 677931274; 118238327; 505547332; 335021764; 10594516; 647889810; 960412209; 359475401; 993248904; 799900640; 74034560; -1; 605888516; -1; 854642838; -1; 945905909; -1; 378761357; -1; -1; -1; 677507652; 611767229; 680598944; 548589466; 120680156; 775951748; 249678316; -1; 936107088; 146222556; 411788889; 516470851; -1; 270828405; 447093415; 102043257; 299651478; 521256680; 233691059; -1; 841304036; 318530658; -1; 524623514; -1; -1; 433979294; -1; 424019853; 830188173; 681762746; 218065847; -1; 480106694; 13661486; -1; 306785290; 745794822; 592868950; 657098521; 844696759; 174696920; 780694796; 243634620; -1; 705455440; 963785250; 865440792; -1; 465414700; 85057654; -1; 139595378; -1; 80999309; -1; 910489344; 242810377; 592796135; -1; -1; 623368039; 430477855; 746754006; -1; 683236226; -1; -1; 699134342; -1; 970416750; 832117934; 338156569; -1; -1; 503730768; -1; 553709241; 379131959; -1; -1; 319281733; 570807871; -1; 244443207; -1; 301282434; 609983654; 892214895; 397810809; 678844396; -1; 907217154; 483206412; 519166285; 624076307; -1; 952976315; 717906171; 280467957; 155916292; 932758232; -1; -1; -1; 259676423; 979633894; -1; -1; 567101705; 446726117; -1; 200518621; -1; -1; 170098875; 759018174; 32819082; 949651116; 779730462; 965311589; 364627833; 994956135; 775583895; -1; -1; 915507133; 316090157; 519537345; 753713302; -1; -1; -1; 306236662; -1; 240778803; 734305855; 99680856; -1; 922217309; 659982643; -1; 337571277; 782534943; -1; 393379844; 49963742; -1; -1; 412191672; -1; 75696288; 370836851; 408381401; 761799453; 898647408; 819023289; -1; 945033161; 582558994; 378834193; 643552552; 566195597; 387111391; 967737354; 681429594; -1; 275515681; -1; 803189554; 203494955; -1; -1; -1; 761032176; -1; -1; 123656446; -1; 802004854; 8015090; 617284768; -1; 293717715; 333614498; -1; -1; -1; -1; 857033846; 211865779; 847645016; 930422016; -1; 141551637; 337075546; 951327699; 987249434; -1; -1; 377773158; -1; 852609868; -1; -1; 678831663; -1; 64547840; 892467140; 233765089; -1; 998700654; -1; 901500733; 24537153; -1; 448568564; 781009420; -1; -1; 596067429; 345833917; -1; -1; 890920011; -1; 619716136; 306518669; 504959970; -1; 926885876; 365696747; 838488995; -1; 122277137; 441022206; 771294256; 414426600; 454709953; 537359481; -1; 155973595; -1; 553455784; 113656667; 334671442; 570258402; -1; -1; -1; -1; 621325461; -1; 997010257; 421008811; 601468741; 287516535; -1; -1; 922149025; 924128212; 74494896; 801059113; 27669120; 681018618; 425564070; 484714368; -1; -1; 422871254; 998544157; -1; -1; 959043664; -1; 34884708; 474983956; -1; 873687737; -1; 268371250; 718851688; -1; 149376053; 661757568; -1; -1; -1; -1; 951077973; 238233010; -1; -1; 671409961; 684993092; -1; -1; 283438344; -1; 427243429; 240143647; 483136101; 58220038; 901864791; -1; 700845442; 507653911; 42710879; -1; 589254927; -1; 512968183; 476528407; 557957451; -1; 632601587; 511737869; 321732777; -1; 582900026; 568076285; 810611433; 253766585; 724396970; 664060668; 648193088; -1; -1; 692049891; 41438314; 787871398; 39712938; -1; 211064515; 91400485; 154106491; 346011593; -1; 740916377; 436467430; 951265810; 280973666; -1; -1; 870074304; -1; -1; 628944140; 588201806; 931806546; 924187459; -1; 219608537; 327231116; -1; 634027371; 698107370; -1; -1; 845886367; 375934257; 358255646; 827446091; 145652257; 561015132; 141858036; -1; 621981143; 885301583; 191185708; -1; 866325795; 120665672; 198608466; 253172286; 965565378; -1; 577995678; 92273684; 410069428; 87284874; -1; -1; 518365221; -1; 346843666; 342739494; 340008935; -1; 731459295; -1; -1; -1; 581621301; 456830954; -1; 508481386; 559277096; -1; 217824997; 29977078; 664462153; 495789980; -1; 574337639; 588981550; 350866292; 293780389; -1; -1; 485708061; -1; 921988269; 222043343; 399120395; 77168758; 155670902; 77199488; 285692942; 774898869; 972746522; 850368853; 197676537; 70139327; 488415442; -1; 89975499; 926716953; 550316216; -1; 980040304; 222868705; -1; 335523741; 135910383; 718967280; 146028779; 643742839; -1; 269451610; 274859556; 584325665; 398821145; -1; 432383022; 166023641; 704421209; -1; 45282979; -1; -1; 733004788; 815531508; 280121386; -1; -1; -1; -1; -1; -1; 903777698; 801380758; -1; 899996669; -1; -1; 418273179; -1; -1; 767376667; 499755744; 447679081; 427006121; -1; 653477727; -1; 919175046; -1; 362018681; 750048621; 696280704; 408386213; 255309016; 148557900; 286118278; 83733503; 60675069; 313997357; -1; -1; 142989357; 135656123; -1; 195408749; 75436765; 803307367; 494425714; 163507895; 111223062; 329430732; 708114501; 797924803; -1; 164449225; 249552815; 831715477; 754281168; 661268417; 79104713; 173541221; 629397403; -1; 575881746; 580941300; 77818515; -1; 237119604; 390653728; 462356581; 36779909; 82327906; -1; 213883058; 577019401; 963252635; -1; 114226342; 157576897; 321697058; -1; 319432785; -1; 893814027; 365181821; 782551607; 671908162; 584365314; 170737615; 856359864; 903586956; 966679057; -1; -1; -1; -1; 632090287; 813939109; 641951089; 159542157; 98163228; 368907269; 701938579; -1; 164638238; -1; 910501113; -1; 162168570; 543041718; 34872013; -1; 404284555; 567181873; 585697463; 459827999; 451610080; -1; 433622630; -1; 931451324; -1; -1; 210858224; -1; 975200029; 672135753; 941712211; -1; 49007467; 559967856; -1; 910206259; 869742508; -1; 157618476; 739370035; 876366406; 274323944; 123992444; 585159141; 711468054; 203418311; -1; -1; -1; 142229750; -1; 287742500; -1; -1; 210026860; 583919917; -1; -1; -1; 959433114; 724512108; -1; 371605738; -1; -1; -1; -1; -1; 318748749; 905522068; 916757359; -1; 493815692; 762120464; 328344958; 166587929; 353034100; 773294894; 538379057; 9420059; 20140872; 142888972; -1; 400947582; 197059265; -1; 175952523; 141544904; -1; -1; 414138122; 528729207; 535325264; 966374881; 142513204; -1; 147231467; 631784159; -1; 950104820; 506906650; 211837965; 572478327; 357969956; -1; -1; 389568718; -1; 776634385; 699718546; 688888509; 951814255; 507216941; 289215560; 885632083; 484757387; 699753238; 52795553; 105075123; 773073081; 568898770; -1; 211943100; 61572847; -1; -1; -1; 131786405; 249280877; -1; 860790446; -1; -1; 164219294; -1; 928286288; 713329125; 437060927; 999641055; 787366080; 523708932; 762220865; 25539997; 468083594; 305547345; -1; 820130781; 650072758; 158125059; -1; -1; -1; -1; -1; 577754632; 267745055; 714072621; 807442523; 745176277; 991382070; -1; 829334500; 743852413; 173594033; 905619037; 836165047; 343034825; 249663605; 175766084; 564713575; 963286842; 220282109; -1; -1; 260742017; 175599893; 739692786; 811894926; 577024559; -1; -1; 192082546; -1; -1; 752783039; 724765732; 955277772; -1; 565205280; 163731029; 29005110; -1; 208911027; 77088081; 417002252; -1; -1; 100215105; 91220582; -1; 501759661; 404381103; -1; 45397031; -1; 738230623; 901394626; 981393214; 996652987; 333228797; -1; -1; 737358059; 890631004; -1; 620660002; 968440824; -1; 785301994; -1; -1; -1; 731431128; -1; 977287994; -1; -1; -1; -1; 43883020; 767579254; 152335636; -1; -1; 685982481; -1; 932414920; 393424975; 10514699; -1; 271065878; 197826456; 406013072; 983436745; 561410312; 77347530; 665495895; -1; -1; -1; 265179216; 867359928; -1; -1; -1; 285399904; -1; 7728376; -1; 176034815; 809751120; -1; 14429810; 489257728; -1; -1; 557347541; 87714151; -1; 609948356; 881408517; 729475867; -1; 632548328; 301197789; 548922752; 455529506; -1; 174984843; 966405863; 841299273; 62819186; 675854320; -1; 141149679; 150756710; 568875871; -1; 732169112; -1; -1; -1; 660098049; 347438824; 540997803; 167424519; 282874996; 417435100; 327618001; 243147904; 937131006; -1; -1; 974096874; 371644090; 682682174; -1; -1; -1; -1; -1; 982662142; 680594372; 511625357; 427780071; 132770564; 506587609; 108247966; 770700416; 536196089; -1; 436825778; -1; 452903579; 773695810; -1; -1; 443005611; 190827976; 278873426; 290394510; 534712290; -1; -1; 319019470; -1; -1; 423407169; -1; -1; 78641541; 946433521; -1; -1; -1; -1; 52269103; -1; -1; 13669769; -1; -1; -1; -1; -1; 980401316; -1; 964973869; 611585170; 737411842; -1; 486601448; -1; 391668542; -1; 262506245; -1; 641362404; -1; 808615152; 922183356; 598039985; 145433177; 467434617; 637137362; 44428111; 296689518; 307479659; 823059420; 808574874; 761787145; -1; 618289252; 57070574; -1; 58538753; -1; 263750614; -1; 879135142; -1; 544403803; 347492210; 442769743; 103583251; 566512458; 725758352; 371266447; -1; 258004126; 505791874; -1; -1; 749315524; 647624560; -1; -1; 246849251; -1; 221428447; 97965059; 657982592; 117170740; -1; -1; -1; 499823114; 584880998; 61262554; 298305355; 847847777; 703548552; 285166559; 15312377; 863527196; 779752208; 570887415; -1; 943823467; -1; 881230216; 549165492; 750706048; 792006041; 899279499; 939265443; -1; -1; 119038203; 171958524; 567095797; 921315735; 203938893; 284912058; 494051953; 534367982; 289380934; 297763301; -1; 28252260; 103841121; -1; 920171902; -1; 8441522; 793345805; 798234750; 976323132; 338653813; 618098607; 26074559; -1; 83369852; -1; 677949109; -1; 585107325; -1; -1; 320810663; 778618466; 712666996; 377923140; -1; 876472348; 321778623; 905198788; 858999864; 753721769; 588055293; 304744072; 795336663; -1; 301914828; 673458729; 9408145; 608700611; 102235825; 162473025; 33896362; 664871837; 778118470; 550255438; -1; 852534625; -1; -1; -1; 247383175; 476090815; -1; -1; 194400157; 394471006; 294164732; 344062260; 360129750; -1; 866272441; 543274783; 888492727; 426889703; -1; 524035552; -1; -1; 866246586; 469298886; 964157144; 125756923; 484239034; 257191547; 789293890; -1; 771718006; 519420342; 947849967; -1; 261162068; 61301962; 841212363; 475656006; 307719185; 264059978; -1; 400558950; 582724525; 595339609; 844880653; -1; 708743849; -1; 376497639; -1; 942139555; 640018308; 235171928; -1; 569388241; 299819030; 604738863; 31808740; -1; 173533711; 866122431; 340318625; -1; -1; 200176959; 43897363; -1; 616209974; 85533442; 230866921; 648314637; 930574266; 830449946; -1; -1; 977871702; 109550217; 461528439; 263019583; 936191940; 475087591; 733084490; 802359748; 13710621; 314917980; 790164818; -1; 369698295; 277320220; 981578825; 163934074; 418740246; 728802634; 249884009; 351498902; 992343751; -1; 480765972; 59276161; 434857790; 828603232; 778353197; 410855686; 87997901; 669391082; 634837834; 738377293; -1; 842968460; 206890993; 617378873; -1; -1; 563035607; -1; 338569816; 406558471; 215976301; 372199264; 492852468; 738183516; 883662980; 968808262; -1; -1; -1; 857843786; -1; -1; -1; -1; 25600335; -1; -1; -1; 526280269; 926491087; 421873655; 974115707; 648592284; 483658257; 764378786; 784053139; 118064194; 132611858; 400786209; 818208606; 660871172; 273737552; 1455744; 818627861; 131284459; 781376520; -1; 745404898; -1; 121824918; 499241914; 436808108; -1; 902438635; 416061265; 76128554; 44339872; 931950806; 570049162; -1; -1; -1; 12605068; 941441546; 199174144; 819164537; 396841948; -1; -1; 78330933; 685162530; 914512837; 539949137; -1; -1; 344210832; -1; 25087191; 883847036; 391708625; 566666408; 394826730; 495044840; 423024503; 766953171; -1; -1; 971560257; -1; 308958993; 673877486; -1; 130543705; 354573923; 189734846; -1; 519709821; 231479547; 156495606; 22499125; 134992833; -1; -1; 857778549; 440825238; 274192234; 914675440; 696932133; 442805991; 206557155; 146270283; -1; 766514549; 587379401; 577169768; 54036364; 736774262; 728642788; 514664060; 536711169; -1; 814909996; 129018719; -1; 517509684; 946615772; -1; 58426735; 312275733; -1; 90734541; 777966098; 681852114; -1; 440926129; -1; 419320146; -1; -1; 692170883; -1; 825504152; -1; 687047383; -1; -1; -1; -1; -1; 776566680; 965861414; 635941773; -1; 365170440; 434065270; 234521018; 865431410; 43235093; 835442092; 969874988; 108106536; -1; 143616557; 597729614; 690993758; 810141075; -1; -1; 845889907; 405610911; -1; -1; 228083797; -1; 217289252; 284649024; 290779434; -1; -1; 496789138; 611198688; 840523204; 250467525; 177532544; -1; 313529869; -1; 637272103; 839458134; 108571511; -1; 980862337; 32354005; 903472372; 181039718; -1; 108358944; 502309965; 678537338; 34682484; 794299699; 855329834; 677337948; 854153882; -1; -1; 1763869; 809068502; -1; 182523045; -1; 850926517; -1; 986988950; 57654405; 253319770; 40040243; -1; 541433904; 437991583; -1; 33996907; 431793224; 119224754; 260331435; 476414448; -1; -1; 444583974; -1; 78073571; 29874057; 827300414; -1; 865957666; 306143905; 691765468; 367510760; 667830800; 587056785; -1; 861577339; 165525741; 344486332; -1; 58982644; 872883564; 247133616; 224935787; 699804979; -1; 686855523; 167076993; -1; 450568651; 672801718; 121959071; -1; 26194709; -1; 546523055; 106474740; 886801510; -1; 813325781; -1; 865356714; 773618292; 782254651; -1; 487062568; -1; -1; 501664816; 699165799; 56074837; -1; 452176872; -1; 985448756; 618015885; -1; -1; -1; 996900094; 101043072; -1; -1; -1; 902372875; 921298925; 996024437; 15740390; 179862420; -1; -1; 581162049; 583268008; -1; -1; -1; -1; -1; -1; 432891732; -1; 221581480; -1; 672488948; 962740273; 820708274; 609376181; 282682577; -1; 566592124; 242376894; 805152782; 555619512; -1; -1; -1; 835415913; 865980458; -1; 388663142; 263344393; -1; 468861577; 376662037; 758432900; -1; 77790372; 260727272; -1; -1; -1; -1; 770729407; 704220577; 985441022; 636553796; 666434773; 891843735; 648640930; -1; 392542208; 181319074; 877668166; 876173195; 805431470; 113377239; 341682596; -1; 478298160; 404757278; -1; 93397784; 487827775; 680450707; 716226514; 192626763; -1; 46017648; 734692557; -1; 972742521; 337850147; 11447857; -1; 926052953; -1; 905643246; 503074153; 982525197; -1; 242823734; 931535991; 70361423; 396886014; 165480081; 46856828; 867139862; 589891174; -1; 160200769; 498104124; 798949204; 222089935; 600505510; -1; 672848657; 923092890; 486732223; 836358434; 540863997; 365564046; 377849114; 115350468; 356635820; -1; 435901672; 225988934; 438649500; 585141061; 691493819; 2478851; 942451883; 64841150; -1; 96921171; 297991240; -1; -1; 382156087; -1; -1; 209258447; 339396899; 535469108; 135065250; 376998382; -1; -1; -1; 925068506; -1; 984152120; 12019170; 351214479; 234071917; -1; -1; 530503673; 682801955; 155461332; -1; -1; 405019718; 300419858; 209381031; 438970424; -1; 592925853; -1; 666698738; 560637994; -1; -1; 7151708; 996164106; 525801810; 848663055; -1; 973448236; 121911765; -1; -1; 105915758; 352428331; 563788710; 803273204; -1; 207070327; 39622232; 91928878; -1; 318717073; 77907445; 464205119; 56908672; 203086024; 569945115; 136400093; 620032257; -1; 96868271; 671825138; 11622324; 165519905; 824933362; -1; -1; -1; -1; -1; 48559350; 95351384; -1; 381914580; -1; -1; 376294957; 210916398; 793832378; 467844793; -1; 476473834; 426101488; 630387325; 517715865; -1; 61064637; 781605963; 750536980; 334224687; 529408537; 159359226; 859407497; 788131209; -1; 551314374; 420717236; 376525930; 180672891; 128442042; 65302310; 151774940; 349994966; -1; 571709475; -1; 184783583; 872556681; 657036067; -1; 243079185; 901185805; -1; 521351880; 905374142; 3561274; 347673487; 765250227; 419110462; -1; 747790596; 927118530; -1; -1; -1; 815199827; 503521699; 467395181; 245568293; 102987577; -1; 154654941; -1; -1; 325398627; 615949457; 969017871; -1; 219746968; 830403131; -1; 692917268; 182823698; 176325567; -1; 56648070; 755327162; 802921912; 586549400; 544675048; 24019044; 989449921; -1; 526627444; 619764778; 282483748; 387569471; 54194230; 559110905; -1; 454862427; -1; -1; 448404869; 81352635; -1; 496516499; 159748507; 143543610; 155453232; 812193605; 699957030; -1; 361360728; -1; 382202656; 459643074; -1; 542866365; 433742580; 604332163; -1; 956955619; 461556476; 858205037; 94380004; 531918855; -1; -1; 767146874; 591830960; -1; 334359546; -1; 896174986; -1; 417836974; -1; -1; -1; -1; 475464139; 132038753; 433016705; 662797019; 138212744; 557920624; -1; 231196246; 496012705; 46548222; 703846213; 827277812; 577026968; 984750157; 653438495; 759971932; 969407936; 919899327; -1; -1; 666455131; -1; 442801900; 449425129; 325108937; 871346742; 388629171; 571083544; 54175567; 739827366; 414692459; -1; 524965990; -1; -1; 948985085; 365720111; 473416258; 820097423; -1; 766437504; 872327979; 552932104; 388798339; -1; 45744533; 964647442; -1; -1; 642716638; -1; 84503574; -1; 661521530; -1; -1; 359601898; 401368095; -1; 213191468; 761755282; 938370140; 71282118; 696724307; 526179534; -1; 104832870; -1; 951649882; -1; 865449633; -1; 129563797; 257759242; 228781108; 447843292; 847150317; -1; 266901296; 815253512; 837352958; 845673578; 161429541; 951848216; -1; 733134317; 930474390; 431241160; -1; 697472952; 632403070; 751718229; 672605234; -1; 137423243; 415576263; 803679145; -1; 998086182; 70323147; -1; 285396457; 881113874; 969942413; -1; -1; 672483512; 831582341; 52945243; 327660716; 959828557; 86546816; 663311401; -1; 757416165; -1; 882557363; -1; -1; -1; 470482039; -1; 561548735; 84193270; 661314221; 327753813; -1; 686861145; 19525750; 898794642; 817171446; 790746620; 396892014; -1; 239186578; 580437786; 53622840; 59877025; 701044336; 883372623; 996255829; 330789478; 360549775; 706012765; 253137486; 154089006; 35265467; 536920064; 54083490; 749587585; -1; 962769393; -1; -1; 995903922; 119986171; 701695445; 644092064; 79200617; 597193154; 168982338; -1; 517313461; 945715972; 812319170; -1; -1; -1; 844789638; 162664751; 515526630; 337098166; -1; -1; -1; 743565920; 973018140; 765672861; -1; 409344113; 617087025; -1; 309047559; 164460706; -1; -1; 484795588; 445373207; 681234329; -1; 284767032; 702197182; 848867440; 209194245; 215105946; 670526946; -1; 195596942; 9840245; 893830549; 191057850; 756013066; 620781738; 444076227; 194220894; -1; -1; 498581848; -1; -1; -1; -1; 346407198; 161979838; 731058199; 850576525; 202568115; -1; -1; -1; 360783766; 143582545; -1; 891092230; 31827220; -1; -1; 651009998; 196198379; 607304585; 777343425; 48582667; 95071868; 529321741; -1; -1; -1; 639547755; 601297991; 150881166; 978227606; 860219225; -1; 976907342; 825015805; 687013483; 555488311; 576542237; 368328657; 647656979; 306870063; -1; 776181155; -1; 430179512; 357851288; 568503562; 188009177; 189617381; -1; 612089714; 551759802; 402932202; 592788570; 839017521; 27830564; -1; 682303477; 144806903; -1; -1; 638199778; -1; 563324645; -1; 977037398; 912979139; 224684934; 652430924; 179458374; 43880575; 102719411; 493753056; 543339546; -1; 125451855; 816960473; 970600903; 843583783; 808812057; 945515235; 348393240; 9048511; 928294625; 383893348; 10917371; 461058350; 607008073; 222040517; 598750963; 451890446; 949186715; 221836028; 478773282; -1; 494231207; 771718466; -1; -1; 64376919; 305278967; 222088311; -1; -1; 167324692; 407610990; -1; -1; 253431333; 960566486; -1; 467036327; -1; 902776839; -1; 470634251; -1; 565194734; 959280117; -1; 666365026; 417180747; 362320647; 587575767; -1; 437626005; -1; 518903010; 997096520; 169470567; -1; -1; 588458244; -1; 874589641; 272961537; 235257126; 162143718; 636610888; -1; 196210802; -1; 957476736; -1; 174100522; 64829112; 986376210; -1; 53889366; 840017247; 366514600; -1; -1; 955912177; 823118006; 789019888; 957876433; 507021767; 640766758; 873339647; 45132990; 857692008; 334095516; 136376358; 268240009; -1; 502245906; 702833961; 244129926; -1; 361930623; 774919713; 147992805; 61908204; -1; -1; -1; -1; 543315354; 369450268; -1; 51675546; 46255273; 322298365; 22495648; 664822031; 636620728; -1; 216954437; -1; -1; 114746068; 385987127; 589360681; -1; 850342766; 47262501; 240662546; 488164110; 549381422; 7567737; 103550579; 906512250; 911594989; -1; 719325536; 133963280; -1; 455456886; 81449213; 79015303; 969518101; 94539003; 408100581; 108742789; 602618398; -1; 569860796; 376536521; 427195489; -1; 233230415; 445382098; 308576182; 202116173; 812622565; 447109612; 969159630; -1; 498803052; -1; 615753477; -1; 378068050; 164999695; 832897629; -1; -1; -1; 616059953; 248409638; 139537349; 446624154; 459297181; 334783858; -1; 768684704; 927460872; -1; 471656238; -1; 147538137; 874348419; 922371259; -1; 122058121; 890517078; 818988777; -1; 628740165; 771686971; 203736942; 707496214; 461408453; 51308432; -1; 154133311; 445352962; 108357150; -1; 343750086; 65879080; 329186035; 634520382; 742867745; 869261876; -1; 513164494; 444214791; 925969920; -1; 333230396; 869694743; -1; 830579225; 596973090; 472174081; 941039266; 531965291; -1; -1; -1; 817157310; -1; -1; 797314135; -1; 985294722; 741235773; 514808974; -1; 399362809; -1; 444825116; -1; 519710310; 10439026; 982573108; 547225029; 388649911; 35628356; 737169935; 392537239; -1; 158053872; 475209149; 550580755; 326344920; 950779969; -1; 797224685; 999758936; -1; 287571079; -1; 698084512; 803304145; 415337696; 264469689; 721171143; -1; -1; 927493593; -1; 467160038; 806786427; 186596139; -1; 177924879; 638501146; 641363715; -1; 879824404; 362060103; 245641883; 996056442; 989565553; 887872923; -1; 262844604; 383237961; 973411927; 364127366; 494180335; 895493686; 258271414; 358900104; -1; 19751637; -1; 548771349; 656641465; -1; 292723101; 85318292; 915465015; 920200919; 625402328; -1; -1; -1; -1; 357491074; 918769567; 390397470; 21488541; 508031876; -1; 861136394; 693855894; 122220136; 248747935; 196238826; -1; 500300840; 904641240; -1; -1; -1; 650439348; 614154918; -1; -1; -1; 480005460; -1; -1; 123432696; 222783988; 343286857; 119310212; -1; 764323941; -1; 75972640; 616829110; 512663764; -1; -1; 76614951; -1; -1; -1; 217203101; 199995533; 318051385; 150415983; -1; 672599303; -1; 771938192; 86635725; -1; -1; -1; -1; 178176403; -1; 406264360; 903341873; 588178528; 221020758; 26677694; -1; 475460272; 904391717; 202325530; 758422366; 93062718; 743572251; -1; 454851120; 198935876; 284331182; -1; 65053509; 393531233; 812372835; 120135830; 349444747; -1; 527088261; 145104785; 841854222; 949650624; 755284453; 155566957; -1; -1; 633496359; -1; -1; 34288799; -1; -1; -1; 767535845; -1; 597004768; 946533204; -1; 840594101; -1; -1; 810202630; 234780637; 591678813; 362680582; 835667403; 901451968; 796091241; 507197028; 375237837; -1; 933877014; -1; 478107958; 323782547; 948347325; 425234919; 759404007; -1; 21391318; 170404803; -1; 988113119; 434812074; 272245668; 509679727; 472422821; 620792326; 894408210; -1; 380674443; 430208051; -1; 837566720; 228437094; 836854461; 78568608; 256657781; 702582855; 212305792; 858827429; 910776108; -1; 185803793; 709838429; 383808265; 565121545; -1; 232515088; 785228380; 182744116; 249112092; -1; 713378289; 487402986; 640230516; 927874398; 581764665; 449414948; 871801911; 124287543; 862139167; 450306983; -1; 456309089; 48501081; -1; -1; -1; 907304928; 822436093; -1; -1; 159591444; -1; -1; 259048708; 671856733; 281827808; 692921794; 954256934; 536664874; -1; -1; 873380091; 627470032; -1; 537737182; -1; -1; 849518376; -1; -1; 74059911; 816385405; -1; 480557020; 661981498; 359692019; 691013801; 586785322; 4631097; 377057998; -1; 546190184; -1; -1; 477905446; 868753855; 186606160; 510062792; 460502799; -1; -1; -1; 502086220; 677056060; 697371242; -1; 236029644; -1; 319612227; -1; -1; 236895338; 505643535; -1; 672419074; -1; 748238521; -1; 928994626; -1; -1; -1; 921289196; 897570760; -1; 954957446; 442356844; -1; 554284787; -1; 830156488; 158696149; 139457381; 912763348; -1; 447409865; -1; -1; 246310930; -1; 6913963; -1; -1; -1; -1; 953742452; 719135354; 609176836; 685909196; 601031479; 340752710; 312901117; 533028749; -1; 618038871; -1; -1; 126101932; 711378958; 80006372; 681174153; 776178754; 898885793; 841804175; 814470812; 459670646; 681864968; -1; -1; 39287047; -1; 640656877; 299521096; -1; 237657933; -1; 680017321; 152522470; 701142222; -1; -1; 450087879; 619035170; 3370506; -1; 243745771; 977031444; 860103720; 135688962; 684097441; 247281968; 667038098; -1; -1; -1; 82295826; 444446499; 410458460; -1; 514610538; -1; -1; 683959031; -1; -1; 690096923; 257426384; 663675943; -1; 721018390; -1; 462961377; -1; 493164295; 123094345; 580662674; 867424857; 172154883; -1; -1; -1; -1; 440631435; 521859283; 787571711; -1; -1; 906507379; 781122187; -1; -1; 43194926; 748863714; 669182206; 219715614; 716239393; 920369997; 763208874; 764607105; 752651461; -1; -1; 551680039; 90641264; 474812800; 395654270; 477745612; 41167959; 459506499; 824471680; -1; 807424153; 133856275; 293900013; 503083593; -1; 437690520; 370442796; 414719823; 572271311; 941261010; 375854087; 220820913; 566639346; 550174858; -1; 741291371; 851309767; 274918668; 616483768; 683052096; 979076544; 366719925; 371767529; -1; 757665215; 699756745; 302394939; -1; -1; -1; 495202671; -1; 902772423; -1; -1; 28955328; 261185076; 226555534; 783138062; -1; 743137367; -1; 490479505; -1; 521604624; 52502469; 800520843; -1; 397684002; 536458112; 364838133; 745750215; 448786904; 644230626; 699089838; -1; -1; 853983729; 362152465; 849598247; 984104515; -1; 234389933; 815313822; 51868276; 106640442; -1; 123720284; 638502959; -1; 84049077; -1; 254141284; 221697300; 450707300; -1; -1; 702905560; 224473395; 21706379; -1; 813040413; -1; -1; -1; -1; 180828035; 10877863; -1; -1; 507307074; -1; -1; 229762937; 926408353; 291886836; 637943866; 364693458; 683666973; 802978192; -1; 215771132; 554873911; 393345258; 818411838; 455712727; 303708044; -1; 814014363; 946766987; 890330970; 532008848; -1; 787705976; 677705127; 364603402; -1; 505197678; 879966596; 111010626; 325332416; 42931652; -1; -1; 147985807; 762867540; 81071248; 775916864; 954226424; 841684547; 671732737; 32572273; 614005534; -1; 932694577; 351416441; 504723918; 711053666; 9505772; -1; 852932108; 981426051; 119482342; 735181075; 849630818; -1; 545515063; 689569491; 136944029; 911312753; -1; -1; -1; 82407852; 951231372; 721052716; -1; 211858407; 375912989; 297629651; 213879190; 417193588; 515881464; 415322666; -1; -1; 937675788; 587309593; -1; 470602394; 577002507; 837058422; -1; 360408783; 947907427; 64137628; 793499738; 784406000; 26711347; 523499918; 948908433; 735524118; 102196185; 300724980; 923561051; 374699436; -1; 465559786; 627236113; 596901752; 659134854; -1; 282061598; 664060270; -1; 592640494; 319872096; 118043482; 919280402; 892417329; 795556002; -1; 367905483; -1; -1; -1; 233638014; 437901044; 508827736; 222821209; -1; 844881296; 177801952; 908397322; 123407621; 983198395; -1; 54458915; 420781955; 171008426; 853275566; 835904388; 403381163; -1; 60398039; 216258156; -1; 885977374; -1; 794003861; -1; 112775996; 905944357; -1; -1; 391144209; -1; -1; 675946538; 933396367; 99937159; -1; 458413369; 224386059; -1; -1; 239076909; 877744978; -1; -1; -1; 606250845; 555419362; 783193481; 757321614; 861647970; -1; -1; 972933419; -1; 986467602; 634676826; 159115857; 975618425; -1; -1; 861765419; 924809563; 378796777; 921317406; -1; 137930338; 695218127; 838078236; -1; 767063969; 45122352; -1; 193705436; 138435837; -1; 657769360; 989242316; 822044465; 116042531; 757247364; 735316830; 195574870; -1; 734537782; -1; 940296586; 888245639; 770898333; -1; -1; -1; 875170504; 744323966; -1; 696099883; 971049947; 112810622; 603469064; 884504128; 136195223; -1; 567630617; 278310397; 393506878; 785995455; -1; -1; 597131978; 939246096; -1; 761945254; 396226989; -1; 634974746; -1; 56908476; -1; 915456468; -1; 829959413; 116952234; -1; 81913992; -1; 734790216; -1; -1; -1; -1; -1; -1; 180997425; 306750175; 445168815; 663803800; 500206658; 577209033; 957034986; -1; -1; -1; 834279429; 229704607; -1; 61820659; -1; -1; 315458428; -1; -1; 866413694; -1; 957557074; -1; -1; 70186775; 662154145; 714896914; 160181785; 460290545; 574859800; -1; 873750309; 867036498; 938061983; 908195886; -1; 879387456; 62210124; 45601244; -1; 527463334; -1; 872861025; -1; -1; 188250462; 208429445; 860945165; 424316538; -1; -1; 922462264; 997012550; 826001672; 460703000; 491632258; -1; 99060919; -1; 932003824; -1; 600874949; 48711699; -1; 198081832; 308733475; 996228338; 268299237; -1; -1; -1; 754179769; 956080139; 721120267; 485718183; 709500509; 241154704; 726535138; 784902772; -1; 795297423; -1; -1; -1; 916983600; -1; 836449336; 78239599; 924930639; 656347621; 146362961; -1; 789045225; 800899323; -1; 637735794; -1; 187548447; 447824645; 56252695; 873057998; 805245423; 426663020; 28150987; 974884949; 725746620; 236414951; 867120521; -1; -1; -1; 312921985; -1; 312014150; 602362249; 53143543; 678221793; -1; -1; 760794121; -1; 796037626; -1; -1; -1; 181021221; 865857030; 993625467; -1; -1; -1; 157487304; 613458232; 235084360; 566065568; -1; 771479647; -1; 824001743; 307767402; 139049076; 443949141; 476833295; -1; 926731478; -1; 105967081; 884443402; -1; -1; 690433812; 195671750; 116942222; 247933487; -1; -1; 907236810; 228249498; 723471323; 787464952; -1; 6896509; 199096940; 766983873; 219862783; -1; 709243174; -1; 902134627; 258578530; 894386069; 452587440; -1; 316713961; 614098156; 241036128; 922117229; -1; 697763343; -1; -1; 463390645; 449364727; -1; 770730762; 841993413; 524572382; -1; -1; -1; 494709427; 267132563; 146587669; 167558225; 899648143; 282303186; 380039341; 934074444; -1; -1; -1; -1; 190469745; 31106051; 959981150; 593667204; 811418528; 78692230; -1; 287660631; -1; 328333773; 847888495; -1; 66462445; 68978599; -1; -1; 983191787; 285329254; 466564469; 248677141; 582241979; -1; 371196803; 782451883; 978474201; 487499566; -1; -1; 284369245; 592857132; 872416123; 434238109; -1; 93864606; -1; 999398466; -1; 948713168; -1; 303907337; 763261861; -1; 141526167; -1; 267936313; 678164227; 705243500; 423628519; 569862804; 139892837; 912930985; 460220226; 10562213; 772647275; 444431981; 428833246; 213129715; 96368451; -1; 84202488; -1; -1; 792661952; 769437554; 797684619; 810000003; 176679647; -1; 857192265; 187968210; 478038787; 443449462; 49400565; 504417691; -1; 861628140; -1; 417216117; 130003970; 353229776; 20549193; 590495208; -1; 531928198; 529898948; 207192743; 159609239; 762083322; -1; -1; 978552824; 901991545; 413451456; 451478403; 15604235; 891059052; 704495749; 637285988; 912762873; 245750355; 117972636; 266175773; 297967237; 365011567; -1; -1; 702554880; -1; -1; 604708781; 964994189; 399336111; 267318605; 899007582; 208768183; 282337680; 323093946; 200451778; 554508150; 551072056; 283092388; -1; 866963052; 393478093; -1; 289203932; -1; -1; 999090069; 252516900; 320903774; 466645118; -1; 639552246; 366447859; -1; -1; -1; -1; 672029758; 600745215; 515465853; -1; 891192236; -1; -1; 61338499; 21963706; 460905464; 160612256; 425677577; 621855227; -1; 416228613; -1; 64188824; -1; -1; 974602525; 897851190; 459089884; -1; -1; -1; 376201243; 907778610; 794208666; 562398067; -1; 531180744; -1; 840764014; 676703028; 949631097; -1; 56927851; -1; 292652309; -1; 465473001; 337884195; -1; 946092207; 958045093; 639491175; -1; -1; -1; -1; -1; 413961355; 229002840; -1; 862903115; 983444115; 295781186; 921035306; -1; 884434183; 139248841; -1; -1; 720671524; -1; -1; 964554629; -1; 99079649; 346134775; 922705678; -1; 890209514; -1; 185992145; 380389405; 561783110; 313822840; -1; 335371842; 302546223; 200658777; 193664300; 114385198; 826079071; -1; 707556188; 792629655; -1; 946613882; -1; 673691680; 824120237; 188963669; 284535919; 79359792; 465189573; 583389707; 589393097; 742849340; 667183885; 530157209; -1; -1; 599820216; -1; 493980651; 78073842; -1; -1; 110080564; -1; -1; 478567054; -1; 594593106; 325200019; -1; 514774962; 542619519; -1; -1; 82585097; -1; 777501901; 922083057; 699991373; 890204403; -1; 164686160; -1; -1; 11452686; -1; -1; -1; 494381240; 600378391; -1; -1; -1; 730842656; -1; 369189909; -1; 35443819; 180737009; 888970346; 429674922; 860636974; -1; 116848172; 302066805; 801269012; 741597876; 447352193; 342717675; 623926212; 305541132; 509135089; 681503108; -1; 777789398; -1; -1; -1; 685671694; 303655794; 339111528; 773933814; -1; 249641272; 573054414; -1; 722114210; 411166255; 223202751; 186855326; 847306005; 760435309; 182980107; 857758091; 410431955; -1; -1; 358280601; -1; -1; 19761400; 120239886; 288480041; 131208374; -1; -1; 522182318; 699700454; 280922400; -1; 278675455; 671250174; 584996891; 452643605; 44737477; -1; 993405735; 524678952; 858152982; 63941833; -1; -1; 495750416; -1; -1; 904998957; 796303534; 839567496; -1; -1; 995459423; 901853526; 621442114; -1; 476712684; 675660025; 154237535; 778071525; 452486575; 544451617; -1; 720994644; -1; 22577448; -1; 910276540; 598390424; -1; 976730568; 853697309; 302591102; -1; 29640952; 981772780; -1; 2919531; -1; 34357730; 257061616; -1; 341343845; 992905922; 850341425; 322512940; 22048545; -1; 239637773; -1; -1; -1; 918037204; 868982052; -1; -1; 881736265; -1; -1; -1; 691089907; -1; -1; 783543215; 884496343; 666788540; 343454757; 40595026; 445719071; 662280743; 981580302; 137294269; 613161207; -1; -1; 727996445; -1; 994106166; 29789620; -1; 195317221; 526479987; -1; 357405867; 443993785; 691337164; 306137768; 983082033; 979298426; 78652270; -1; 947547558; 506879050; 865774259; -1; 509280949; 939148465; 928593538; -1; 534019557; -1; 535453822; -1; -1; 286765648; 526034499; 407367934; 914395263; 144548912; 116101974; -1; 506439443; -1; -1; 517081694; 380293553; -1; 560034973; 786377783; 167154754; 626488978; 927490319; 820039481; 596011679; 564868628; 116989750; 133010371; 317544236; 806462346; 157713314; -1; 932098619; 54398915; -1; 253909086; 323452501; 180606536; 481705913; 974051923; -1; 701795971; 228113194; -1; 933998117; 153108104; 191097922; 627909791; 568753120; 664156435; 372938292; -1; -1; 428908062; -1; -1; -1; 298669183; 726878337; -1; 555272778; -1; 490268978; 804320289; 738821097; 231352143; -1; 15048693; -1; 24622157; 904141632; -1; 123259860; -1; 336581340; -1; 785830688; 749451002; 552618505; -1; -1; 391412249; -1; -1; 73950130; 971306469; -1; 871411912; 347551603; -1; 706046422; 711099461; 326220282; -1; 347603418; 19106216; 890472074; 769846970; 921713318; 875463738; 83288186; -1; 57643434; 909715089; 819368621; 691806806; -1; 377439016; 954977747; 574105098; 708398026; -1; 824391253; 893042748; 846573997; 149092291; 93856434; 824466476; -1; 625231281; 111118710; -1; 117258885; 131019246; 917549223; 439260792; 935146209; 208500546; 30801638; 636814807; -1; -1; -1; -1; 824496725; 368698669; -1; 214663024; 968939112; 535172475; -1; 745904948; 38198457; 42887892; -1; -1; 330825597; 214711139; -1; 372508333; 522472045; -1; 253364336; 934564222; -1; 602268406; 11687008; -1; -1; -1; 460645264; 300221918; 806831550; 629014043; 173288812; 911260264; 489114361; -1; 162331209; 382297371; -1; 459661486; 695465533; 83166746; 716816849; 274268282; 124409336; 36367248; 474201044; 630098215; 564782436; 377202804; -1; -1; 361400339; -1; 259331815; -1; 571829141; -1; 76070796; 241924927; 750683427; -1; 185312897; -1; -1; 660082418; -1; 159399620; -1; 279078804; 52623925; -1; 807683338; 324156625; 55789457; -1; 346995277; 271123473; -1; -1; 758636956; 265539607; 498565496; 830814189; 672223907; -1; 358485210; -1; 793140083; 426315744; 190933517; 122604357; 962950401; 979990801; 389775538; 842418715; 201829855; 443139206; 708868850; -1; 807708482; 471080429; -1; 710676045; -1; -1; 135001602; 461786318; 475458604; 474210679; -1; 745082235; 969913576; 974023401; -1; -1; 46845712; 788214082; -1; 196874916; 198495302; 159025839; 695284886; 242391761; 698954886; -1; 857434254; 352295623; 420576214; -1; 444312867; 941646757; 684407745; -1; -1; 332863194; -1; 986735828; 569329110; 571209011; 191310277; -1; 982886382; -1; 635241932; 175209704; 72317537; 286311440; -1; 147939123; 688255764; 770916850; 27007205; 775951056; 418819937; 401448857; -1; 805944511; 84454314; 696769567; 239930685; -1; 369404912; 316071555; 508824425; -1; -1; -1; 966726536; 102760424; 829652192; 228610259; 688253359; -1; 19350624; 336621891; 574493132; 621965026; 827828894; 85296750; 980300644; 245008942; -1; 326265193; -1; 94087498; 522982742; 548819748; 345995951; 445568659; 485133709; 212968932; -1; -1; 926087122; 89787536; 175652839; 992536132; -1; -1; 246998787; 952561669; 251754725; 608818074; 375451917; 132052601; -1; 738016708; -1; 604706914; -1; 24396535; 162468879; -1; 171753401; 899968197; 902921789; 705109479; -1; 403712269; 558575238; 909837871; 623906598; 835440178; 290435676; 547114687; 705226543; 257094157; -1; 146244374; 114548880; 64709803; -1; -1; 366883145; 359425246; -1; 789086528; 160744601; -1; 392081298; 380093641; 971397358; 144281099; -1; -1; 386331117; 238651748; 852110523; 635262162; -1; 151212746; 882515642; 82866473; -1; 233412300; 832978197; 314847811; 791617190; 70236170; 888059385; 630284467; 522949551; 71135312; 354865010; -1; -1; 856386772; -1; -1; -1; 971268795; -1; 959857823; 222179487; 860952800; -1; 136513196; 788366356; 210244754; 137057403; 906715525; -1; 770031273; -1; 450671554; -1; 346158234; 750220232; -1; 884942527; 644408321; -1; 585506743; -1; 638356238; -1; 806728811; 778268131; 680448677; 320644908; -1; 719301230; 489380538; -1; 383358210; -1; 257965178; 130590086; 323807994; 515413263; 197452634; -1; 225051861; 720292732; -1; -1; 189319222; 656944385; -1; 162521056; 871577236; 338438511; 643178125; 649785975; -1; 599648674; -1; -1; 817390489; 559148014; 655594567; 68064007; -1; 232899318; -1; 30822348; 113543893; -1; 668769841; -1; 712850577; 900742273; 777751106; -1; 837565039; -1; -1; 367258698; -1; 346141738; -1; 249942100; 447267508; 715677680; 884610324; 421330227; 766546831; -1; -1; -1; -1; 85272021; 319906854; -1; 254508375; -1; -1; 420172176; 856510593; -1; -1; -1; 222552777; 261550911; 711548294; 308600968; 96635757; 470263508; 1005684; 567393222; 536835317; 209435887; 560817763; 56648083; 636428084; 391806584; -1; 881161922; 892605212; -1; 569629585; -1; 570945500; 963862398; 716988989; 711745297; 919835076; -1; 770799499; -1; 472135250; -1; -1; 338840612; 831790846; 460634050; -1; 308990550; -1; 458778659; 307141912; 735167104; 868074451; 438984836; 662992223; 314460559; -1; -1; -1; 878331236; 630512235; 876387598; 180400596; 222629446; 507338607; 188912411; 44234611; -1; -1; 828910033; -1; 950394094; -1; 549689358; 615602210; 528131884; 359832655; 686047351; 752497307; -1; -1; 345535336; -1; -1; 40232229; 269249445; 256420642; 778924587; 83451116; 490811790; 251661976; 884745473; 167399035; -1; 438506200; -1; 468790971; -1; 740525823; -1; 798656286; -1; 689969276; -1; 937804247; 849734479; 876987862; -1; 108881175; 121098224; 413476860; 367298528; 260839286; 966468054; 599641794; 214200101; -1; 725725804; -1; 399147739; 500894033; -1; 26185798; 350546332; 335675992; -1; -1; -1; 998304614; 272280420; 10477713; 888887215; 707834777; 81334303; -1; -1; 611925793; -1; 752129982; 715782920; 577008905; 834379664; 780083216; 580249962; -1; 854598219; 324125431; -1; -1; 803768690; 553854784; 816450492; 692225052; 636745840; 588305959; 312690159; -1; 149099968; 605343125; -1; 493239938; 135823972; 835240531; 929190729; 934984108; -1; -1; 398396826; 613047714; 213596671; 419589892; 411954781; -1; -1; -1; 876089733; 285464960; 961058134; 239813000; 23391968; 598495659; 535135464; 599871019; 775159480; 55497267; -1; 87906009; -1; 471974927; -1; -1; -1; 474557679; 157850962; -1; 633636363; 283149974; 33725420; 602708454; 596434670; 971697267; 307232876; 369435913; 564013118; 195431706; 727428865; 359002288; 824462276; 375542787; -1; 910421513; 310329478; 931985100; 378101630; -1; 427804320; 57463808; 64585721; 485957520; 126897235; 807866784; -1; -1; 619897920; 250527002; 422321204; -1; -1; 208068734; -1; 291137260; 232266511; 337949822; 979183415; 970132555; -1; 769396235; 824206301; 196540645; 855508465; 674217233; 875222424; -1; 296639652; 929224176; -1; -1; 944593089; 802627847; 877442503; -1; -1; -1; -1; 781596665; -1; 662266591; -1; 90348733; 955197346; 227907404; 211026459; -1; 789157110; 348079614; 308049404; 119618302; 468767795; -1; 589230199; 956245214; 198519222; 125917012; -1; -1; 430735646; -1; 394929293; 640046729; 24813348; 837411948; 416136910; -1; 221186770; -1; -1; -1; -1; -1; -1; 464800076; 739240356; -1; -1; 633209742; 851500672; 655609727; -1; 157826259; -1; 368296162; 192591941; 306097427; 852867876; -1; 519068182; 418923588; 44598124; 223608669; 674186383; -1; 847041676; 517828478; -1; 692990225; 291037543; -1; 102507759; 213210755; -1; 845372345; 303546916; 893779867; 381683354; 314376492; 583402369; -1; 341630503; 791666777; 436378660; 789826054; -1; 157907772; 38087260; 43099437; -1; 912616238; -1; 598073167; 874387664; -1; -1; 798249238; 157144331; 524501946; -1; -1; -1; 703089966; 905385090; 714431410; 749384362; 170069582; 89723322; 520841425; -1; -1; -1; 599162652; -1; -1; 463606008; 681656017; 510699565; 622289268; -1; 428221249; 366652191; 35172587; -1; -1; -1; 391763686; -1; 514927866; 782439501; 216389703; 750193297; 22853622; -1; -1; 324239654; 703199829; 55682388; -1; 204281160; 148457178; 690528108; -1; 949511924; -1; -1; 747601853; -1; 395560420; 846785310; 572503388; 609712470; 907920327; -1; -1; -1; 933827651; 53300768; -1; 421339777; -1; 871937569; 864805490; 694162587; -1; 748865930; 180804580; 488368884; -1; 395659299; 387104424; 638283421; -1; -1; -1; 646638784; 603541451; 213703173; 306414085; 359226105; -1; 933553621; -1; 343812609; 870569004; 959801104; 498212105; 153385941; 826094156; -1; 301295014; 54788651; 64960844; -1; 647352113; 238833260; 14822165; -1; 41544747; 113517829; 564729097; 963798445; 547399707; 220359125; -1; 356336419; 995597670; -1; 385017284; 190884130; -1; -1; 555707468; 911336302; -1; 677438716; 300678771; 584271764; 513541940; -1; 529136369; -1; 978922937; 835035403; 539951068; 790554721; 916085655; 302699318; 457441094; 931980571; 287841433; -1; -1; 735221438; 962488412; -1; 487207863; 211904568; -1; 75830145; 136193009; 572649407; 9507128; 547058672; 674190854; -1; -1; 553750974; 978082887; 281266299; 120489043; 291124431; -1; -1; 102410990; 722705924; -1; -1; 781418985; 710353619; 912918799; -1; 363395695; 852876839; 573901507; 781251996; 74865412; -1; -1; -1; 852506119; -1; 704495539; 748781017; 267365119; 476934182; 491640349; -1; 794764159; 378898080; 996495185; 528009230; 556138717; 46373852; 623075795; 821519888; 852573097; -1; -1; -1; 869104890; 577750553; -1; 528462488; 195465786; 176877675; 240879834; 764743190; 42311838; -1; -1; 822779354; -1; -1; 571707734; 741448689; -1; 975062156; -1; 811973094; -1; 715349301; 553350052; 289454879; 950015844; 322448358; -1; -1; 381148970; -1; 144281591; 19414090; -1; -1; -1; 639363122; 787329124; -1; 619010066; 160818432; 476636245; 980039503; -1; 943115747; -1; 378368299; 551088643; -1; -1; 624374513; 885889223; -1; -1; 580356713; 251303298; 839877849; 124405771; -1; 53591909; -1; -1; -1; -1; 888270720; -1; -1; -1; -1; 612996830; 727134947; -1; -1; 361213554; 31370272; 101926897; -1; -1; 697147867; 313979210; 664370193; 848079409; 890967147; 58590991; 296431594; 922305345; -1; 817366723; 186380200; -1; 659895694; -1; 428473967; 851670831; 509939359; -1; -1; 104355630; 47818695; 571950139; 600015772; 506195904; 454065514; 955896897; 762964721; 655782707; 61254411; 256117991; 106821196; 904005838; 335867393; 820963290; 520182604; 814935627; -1; -1; 173540266; 996241157; 227406544; 709192935; 301673550; 294662916; -1; -1; 682565830; 604708144; 987564238; 262265414; -1; 519447221; -1; 763230747; -1; 845221895; 267157472; 67846696; 523638675; 463035867; 204603013; 963398219; 619818569; -1; -1; 806451888; 442846204; 953803844; -1; 717769160; 513491916; -1; 575613756; -1; 866480327; 63760001; 943004888; -1; 356760774; 707829947; -1; 606489330; 83960316; 213617357; 75736448; 609073996; -1; 891356553; 503514706; 805596493; 545725696; 212247853; -1; 193505796; -1; -1; 137349315; -1; 715960944; 689707579; 247846656; -1; 850316385; 355295920; 170751488; 106100776; 673020967; 839038935; 230718569; 307375045; 295415718; -1; 271740230; -1; -1; 522261802; 152305194; 380249075; 976520314; -1; -1; 687689559; 643199413; -1; -1; 407552032; 196622558; 955824339; 538131054; 163978189; -1; 603413845; 745141784; -1; -1; -1; 514299337; 723190857; 858556362; -1; -1; 851293304; 664631900; 977554224; 54420955; -1; 540502062; 350389932; -1; -1; 922759932; 371310844; 631770257; 979508695; 309018547; 410148142; 431098300; -1; 202640218; 766872118; 137554401; 945592438; 591064929; -1; 311563649; 27033205; -1; 964555453; -1; -1; 489712140; 306013584; 682644801; 522348370; 819041032; -1; 301634687; 702683034; 78722688; 719953181; 91728680; 263831413; 398135944; -1; -1; -1; -1; -1; -1; 633834797; 685537131; 305837619; 126215027; 526262741; 802573069; 947089746; 830875854; -1; 744784683; -1; 415146025; 30794472; -1; -1; 741975745; 579425715; 125161258; 338641502; 341035317; 865238853; 698897845; -1; -1; 784857329; 352017386; 4504321; 986869509; 44293949; 97216064; 416141545; 176410948; -1; -1; 299614326; 878098738; 124815383; 829447863; -1; 129844596; 977396541; 269555217; 974584980; 548008235; 272379191; 426289306; 286667033; 251800923; -1; 321415015; 642652237; 245873265; 65583820; 765824528; 619495635; 270277509; 480625760; -1; 487716964; 41201183; -1; 18609867; 783302699; 818681119; 183157613; 272095786; -1; -1; -1; -1; -1; 268291770; -1; 671471045; -1; 914619859; 667310103; -1; 239861057; 132927230; -1; -1; 166751814; 816945421; 155045037; 699418073; -1; -1; 500895945; -1; 463521950; 650592985; 876634341; -1; 233063513; -1; 692397151; 172587185; 922330235; 676438665; 818745916; -1; -1; 807148626; 561292375; -1; -1; 785838176; -1; 677599181; 827362163; 812609789; 734204328; 443764895; 96227846; 384441960; 39254217; -1; -1; 297491892; 369996313; 344320213; -1; -1; 381692899; -1; 733578753; 147678725; 890519518; 908688201; -1; 972606460; 354698855; 243442960; 650612668; 798819842; -1; -1; -1; 925026878; 906449766; 485062884; -1; -1; -1; 914192813; -1; 486591926; 454156391; 616070555; 328289538; 204597893; -1; 676495495; -1; 340935702; 704083959; -1; -1; -1; 508997696; -1; 197572137; 963755826; 270741253; 759629482; -1; 651841676; 212786512; -1; 270157212; -1; -1; 441000735; 762508032; -1; -1; 811695073; 107765161; -1; 837756405; 586204787; -1; -1; -1; 227145001; 537046585; -1; 702891028; 764757628; -1; -1; 328024828; 489408722; 942854980; -1; 924207478; 975653794; 603026392; -1; 357933969; -1; 657645511; 626328736; -1; 844671388; -1; 93244070; -1; 796202949; 336280055; -1; 676905739; -1; 43275013; 847312163; 402880754; 833980889; 74113528; 408830875; -1; 429916628; 390051662; 643457453; -1; -1; -1; -1; -1; -1; 719633912; 784716198; 273822372; -1; 197957252; 536891794; 195582128; 989387726; 10814739; 825567504; 229879536; -1; -1; 252291512; 999758911; -1; -1; 366502944; 809594398; 584367605; 11265183; -1; -1; 858829753; -1; 205430380; 908724630; 290830005; 346430590; 429038910; 346035567; -1; 83316521; 124691908; 130889668; 497066890; 407632720; 334628446; 430677405; 828369877; 946199244; -1; 714793916; 997290564; -1; 75330870; 616790420; 795212038; 800652414; 992864799; 560480741; -1; 790463390; 487485082; 71647569; 170361988; 575754835; 270019398; 8833611; 68346843; 377026078; 132674135; 814279415; 851836272; 411475801; -1; 755517650; 625715111; -1; 137249358; -1; 440627422; 330137018; 369696328; 532978276; 566992295; 256293623; 669119318; -1; 345013759; 242979792; 171778018; 766929262; 915079905; -1; 657248371; 417795831; -1; 3119588; -1; -1; -1; -1; -1; -1; 976040411; 930690494; 558474442; 309587; 969955754; -1; -1; 184585525; -1; -1; -1; -1; 963529035; 261423590; 170897792; 505929427; 270623238; -1; -1; 426386062; -1; -1; -1; 146739684; 229260749; 542029088; 692888078; -1; 51982137; 660460872; 195124803; 7669079; 922466357; 588208946; 633386340; 822169661; 452625000; 553748321; 194942613; 621018911; 407644982; 750930632; 921945770; 822203020; -1; 549140485; 581702224; 76207687; 554188136; 20481849; -1; 598445683; 634537081; -1; 820396298; 689204519; 769550614; -1; 639645575; 623069792; 953484963; 944265055; 638909581; -1; 905583407; -1; -1; 245678270; 741929766; 9484656; 837129356; -1; 679388121; 23786418; 851734928; 14011384; 701182243; 65737502; -1; 716777072; 914354842; 915003160; 462330211; -1; -1; 796514693; -1; 416815674; 798839626; 949484626; 6019919; 212695742; 205842947; 283741895; 628642358; 225869993; 73757707; -1; 833969606; 548063503; -1; 528128897; 277070519; -1; -1; -1; 374318234; 386478423; -1; 234020652; -1; 397491053; 513934988; 520925960; 374105416; -1; -1; 584485328; -1; 659503719; -1; -1; -1; 715839688; -1; -1; 879695340; -1; 317627497; 938165867; 76911734; 853190606; -1; 606625805; 14543389; 121776068; -1; 540191929; -1; 322364318; 260201410; 894152080; 906459134; -1; -1; -1; -1; 485379890; 825884669; 915336262; 738220428; 987032714; 662955797; 419331685; -1; 714514943; 353924962; 845057077; 29287171; -1; 601057254; -1; -1; 126742823; -1; -1; 548440332; -1; 811994531; -1; 625969321; -1; -1; 465192908; 102299867; 318408432; -1; 696480504; 879057822; 996171614; -1; 909893353; 434141154; -1; 379736771; -1; 550514402; 579453765; -1; -1; 726488098; -1; 79618595; 136619544; 290238065; -1; 701412088; -1; 462820265; 193747903; 759556744; 657046862; 401298516; 294185927; 145358944; 448397625; 538031856; 368551057; -1; 332292947; 988555446; -1; 362565596; 146969300; 984865341; 257307466; -1; -1; -1; 485332202; 368289450; -1; -1; 412490912; 177268827; 838604688; 882374691; -1; 302227536; 743914420; 107053602; 839655474; -1; -1; 513832075; -1; 303823941; 249218231; 483857172; 679512195; 738503713; 780945146; 250137851; -1; 701776491; 808686823; 241431500; 13186492; -1; 38101187; 695059982; 749643386; -1; -1; 64703451; 463241944; -1; 566517097; 248928562; 746242754; 73421311; 558415999; 379557252; -1; 249518044; 337540976; 571127153; 69394474; 398125067; 329013337; -1; 82421050; -1; 976205435; 120559362; -1; -1; 843196778; 46381001; -1; 118682143; 253320553; -1; 16681413; -1; -1; 489326286; 780755626; 141290236; 184264638; 139357229; 694653152; 544832099; 31513909; 724117122; 283994978; -1; 335568739; 172696638; 498692420; 598772462; 121866321; 835952998; 37911053; 109035292; 858568327; 521075418; 901824809; 74852930; 673393887; -1; -1; -1; 443831132; -1; 145146775; 672168520; 928226175; 327938209; 988005839; 387260565; -1; -1; 808195341; -1; 710803527; -1; 918015287; 130829930; 519458710; 700803799; 798305947; -1; 706120614; 846247126; 129000303; 715690670; 162059786; 154446859; 531344924; 962657887; -1; 654452374; 788806571; 4615349; 147552780; 122973882; -1; -1; 711984798; -1; 981945856; 369113548; -1; -1; 752595381; -1; -1; -1; -1; 349896216; 774446389; 119880879; -1; 375306894; 327759508; 536044961; 138205965; 130627198; 899243567; -1; 869234763; 259375044; 872392165; 547968462; 220024528; -1; 25492898; 402630078; 270904164; 3652502; -1; 597729023; -1; 881452532; 462271083; 546671223; 155887393; 252750096; 307232981; -1; 591722547; 658924238; 480717955; -1; 442344794; 932572246; 862144707; 218467025; 594949101; 462199151; 649315743; 859404878; -1; -1; 345666915; -1; 369544700; -1; 252135258; -1; 977255353; 992054164; 586611611; -1; 243785843; 459665685; 810236832; 624561209; -1; -1; 197929230; 842781767; 236479437; 610736031; 303177075; 826216690; 145817689; -1; 792349077; -1; 77693352; 560680916; 439510601; 234573885; 489404117; 291396584; 308308106; -1; 110429291; -1; 178252013; 44207210; -1; 418893578; 710008657; 279075258; -1; -1; -1; 833313803; 783035293; 616712535; 279427037; -1; 835003467; 374981733; -1; 928816135; 164097543; 13709883; -1; 926720947; 420911229; 347556308; -1; -1; 438256367; 367070095; 858407809; 24010650; 365824626; 360730693; 438123159; -1; 105393954; 711268883; 635686511; 738263299; 170223068; 143030463; 309852238; -1; -1; 134154046; 104766636; 466012568; 174924475; -1; -1; 251158785; 898980361; 793395194; 820734327; 582223955; -1; 763680496; -1; -1; 521831423; -1; 62675466; 883579424; -1; -1; 401160608; 183769011; 930202867; -1; 584784731; 902856986; -1; 683972889; -1; 43008460; 727012242; 715831555; 203411586; 201624473; -1; 30275548; 129312191; 156541648; 909186873; 609160576; -1; 347509843; -1; -1; -1; 213603072; 859957423; 880535061; 30720499; -1; 364885553; 999600230; 630932524; 915698682; -1; 331202769; 349836552; 614395943; -1; 360907528; -1; 93579024; 740730335; 938380625; 809472641; -1; -1; 545927711; 59700989; 118021559; -1; 166871; 21894422; 363776822; 976880346; 545301404; 457349600; 946908365; 567146308; 443227747; 175406115; 542901058; 287980147; 412799732; 518272055; 753114297; 8298343; 737267025; 916110078; -1; 623050413; 46885773; -1; -1; 759721361; 408035736; 819590504; 815694058; -1; 909109485; -1; -1; 134325052; 12195881; 131090112; -1; 175763404; 258736702; -1; -1; -1; -1; 474386251; 433771074; -1; 346235344; -1; -1; 822810709; -1; 506522244; -1; 174098875; 705631040; -1; 538078612; 825539161; 711545873; 723585704; 202570400; 973423097; -1; 9081038; -1; 385798322; 63164757; 561958881; -1; 471847071; 798771222; 671466008; -1; 555423871; 638722775; 305503656; 781753036; 768231854; 87923233; 949210496; 68368044; -1; 545160652; 450778456; 120887506; 165740518; 935167252; 29291432; -1; 587368533; 55246746; -1; 417357976; -1; -1; 868230290; -1; 804828139; 951505082; 301378402; 986746113; -1; 433185158; 677414201; -1; 966889935; 159629533; 90562787; 280742149; 525053788; 495215678; 449970553; -1; 24262527; 194732716; 994770718; 151957392; 192369097; 101319536; 270720658; 982108584; 150713611; -1; -1; 633833596; 119191373; 344262156; 326967562; 646424158; 235805763; 770862136; -1; 389024181; -1; 231304897; -1; 635652225; 998865099; 452821014; 282240154; 534286197; 393424218; 323062841; 675252059; 319365788; -1; 478214301; 368672589; 727927823; -1; 16557280; -1; 403297240; 96074291; -1; -1; 608095798; -1; 888429536; 233461138; 92219581; 444513844; 489576588; 539096288; 755258757; -1; -1; -1; 803175553; -1; -1; -1; 265572241; 761530522; 926752818; 209361103; -1; 683920867; 844938795; 459899047; 192560989; -1; 594205385; 58022281; 932153516; 834004924; 648284687; 392097787; 56853531; -1; 987172423; -1; 944332895; 232694051; -1; 469490431; -1; 987385232; 190841004; -1; 40716789; 214246684; 222673425; 426130835; -1; 932019499; 451402914; 623475959; -1; 321007611; -1; 156167345; -1; 89093396; 546090057; 30909105; 89718492; 814672417; -1; 96285210; -1; 544919877; 78304904; 700963060; 367063043; 75485089; -1; -1; -1; 637824956; 85669461; -1; 660863570; -1; 80053638; 875682007; 250024570; 291838451; 226329364; -1; 892207733; -1; 276962345; 973119537; 293011333; 463186846; 978391218; -1; -1; -1; -1; -1; -1; 840359255; -1; 651088357; 612490098; -1; 32901487; -1; -1; 506144572; 953781185; 617709888; -1; -1; 26779137; 898254602; 611159944; -1; 421761028; 601816571; -1; 735366888; 293632710; -1; -1; 960680171; 723587783; 81160219; 890195971; 85670432; 294458192; -1; 818057884; 772818957; 248141389; 771811400; 2663414; 128819376; -1; 974548890; 903194697; -1; 792486262; 223733854; -1; -1; 802965705; 284678676; 608816457; 721157996; 83287245; 42970543; 60154365; 634504472; 956864804; 715202548; 413584534; 769619707; 566232777; 290184868; 4682038; 479221932; 97630104; -1; -1; 748869262; 105090690; 389093822; 654168562; -1; -1; 522241199; -1; -1; 231706386; 412534500; -1; 360265520; 135762669; 137896707; 515953981; 471328949; -1; 986841443; 801838931; 913701952; 337244831; 862313227; 559521631; 189139530; 504365961; 259029382; -1; -1; 268636157; 992986785; -1; 66919065; -1; 631258594; 939422882; 836210216; -1; -1; 203863224; -1; 517164492; 777040394; 400387058; 126428090; 783690215; 328851303; 66771877; 182777935; -1; 131881322; 971238038; 49561193; 912422916; 301384578; 450578845; 960415155; -1; 625665839; -1; 412207767; 409351585; 209659648; 869545013; 892614227; -1; -1; 533105853; 594366543; 657451026; -1; -1; 466510144; -1; -1; 643819278; -1; 130689613; -1; 171059776; 978361019; 441317113; -1; 88156352; 551441707; 570813980; 401673789; 111510889; 828157198; 80623765; -1; 771559827; 325147936; 517446081; -1; -1; -1; 229556563; 553289708; 170938630; 75919219; 451320677; 948254379; -1; -1; 481163036; -1; 36877708; 489494530; 400278447; -1; 461342628; 291570745; -1; 874618978; -1; 306228840; 128828796; 852293451; -1; 589939712; 347573343; 662359212; -1; 89531476; -1; 836192092; 589549719; 484162326; 809510564; -1; 455628508; 99809621; 106002763; 594565765; 461745688; 882071357; -1; 853637774; -1; 959120490; -1; 68480414; 485587461; -1; 382524242; 287661495; -1; -1; 632566583; 993309652; -1; -1; 603793191; 492055792; -1; 492202282; 748398866; -1; 883249206; 923146674; -1; 902848639; 117868862; -1; 89400366; 722497739; 271422478; 388672426; 538102969; -1; -1; -1; 406258372; 614314895; 724888039; -1; -1; 909640353; 550299793; 199149944; 609875740; 922904191; 859649102; 931815745; 187006797; 232210365; 28901882; 232378730; -1; 557391965; 253111814; -1; 923105111; -1; -1; -1; 313008057; 956001951; 513651255; 725366331; 787576971; 296871273; 392571588; -1; 408106809; 528664142; 520239468; 367143382; 258058936; 327267216; 89240775; -1; -1; -1; 406898624; 505489586; -1; 4622717; 793202488; 411276899; 474856797; 422184874; 185298307; 912903966; -1; 858458673; 954259243; 646612061; 906335049; 29758977; 730373814; 608675139; 886383031; 409543067; 558334217; 102880682; 233075910; 626962779; 624379090; 451616925; 846822822; 596705252; 553159604; 619520465; 209975681; 913156613; 112387692; 900844445; 710155066; 911289092; 324355499; 111788471; 878650605; 548959099; 115092755; 564625470; 49847020; -1; 277495552; 333023676; 630503610; 693531715; -1; 885824601; 927082252; -1; 965743615; 921374106; 803033531; -1; -1; 803877684; 910156503; -1; 637767244; 132996769; 44117536; 435558666; 853108529; 362141142; 411513376; 345270021; 725297305; 433890533; -1; 163818802; 464421161; 647890686; 109893082; -1; 220671270; 768499914; 984080021; 537213693; 286963640; 559395275; -1; -1; 495391719; 176427809; -1; -1; 561786510; -1; 568861040; -1; 978781013; -1; 903449151; 472219601; -1; -1; 430177872; 988769934; 880789152; 216928556; 535028249; 423932415; 761135921; 912733532; 617002102; 771977530; -1; 405688268; 879770853; -1; -1; -1; 987899610; 874640468; 975616942; 746929824; -1; 721324812; 689078830; 869450358; -1; 365425249; 427557014; 674640896; -1; -1; 324747736; 469286870; 328263913; 542497667; 635913991; -1; 669728957; 473901519; 877330213; 397815591; 612919295; 293018971; -1; 333365587; 110927800; 687607717; 702066702; 421874436; 322737467; -1; 1986436; 130290917; 461819665; 172147031; 469411371; 199918585; -1; -1; 571420385; 162741272; -1; -1; 423499116; 414057276; 925944740; -1; -1; -1; 545445164; -1; 46014916; 494127359; 299408628; -1; 239301929; 959961454; -1; -1; -1; 100802547; -1; 646305559; 281546519; 793777134; 878875026; 909264824; 541482677; -1; 598186584; 997761815; 911352577; -1; 671134457; 141454661; -1; 821716363; 304740586; 44387774; 719846271; 449617607; -1; 746435545; 404355579; 819160313; -1; -1; 538566655; 650286460; -1; 818973570; 459989785; -1; 691739108; 675242887; -1; 429216481; 132453231; -1; -1; 987925213; 434771123; -1; 122066567; 249753669; 105854880; 788438996; 959790502; -1; 559666449; 687469286; 360578459; 915286077; 247244881; -1; 909542638; 102462823; -1; 429412816; 260070845; 561416747; 716464994; -1; 719777599; 90996567; 602163526; -1; 991885850; 35402996; -1; 833005984; -1; 793250195; 325515935; 131025592; 86463128; 974960254; 868431414; 867350602; 275103414; -1; -1; -1; 274077452; -1; 846792585; 767085043; 369653772; -1; 585032734; 715834963; 975657453; 429285610; 332475538; 603738868; 995017378; -1; 863295650; 638222047; 43573209; -1; 17385183; -1; -1; 586920729; 815204899; 811994877; -1; -1; 180568873; 208105075; 15065510; 580856854; 659634913; 599356622; 967056760; 855539730; -1; 607067331; 696630392; -1; 655328664; 798110064; -1; 443539349; 306172457; -1; 186447597; 402707507; -1; -1; 110398633; 242665681; -1; -1; -1; -1; 935010918; 985294863; 497252372; -1; -1; -1; 757914505; 276976781; 165747094; 38913073; -1; -1; 519034755; 765959381; -1; 764340227; 805263012; -1; 691769818; 92165536; -1; -1; -1; 893063962; -1; 559958511; 214860397; -1; 978674498; 645649581; 271663488; 234008427; 159009745; 291567782; 470969003; 495171719; 690177214; 228548389; 976283782; 697523559; -1; 112437931; 65938144; 486920469; 100701535; 479258365; -1; 688612308; 115225876; 710904342; 991484209; -1; -1; -1; 939948738; -1; 603126480; 905388; 782578475; 547998656; -1; 59962266; -1; -1; 856257678; 355811328; -1; 964636006; 966943113; -1; 464952038; -1; 652265806; 80220572; 883085161; 489833185; -1; -1; -1; -1; -1; -1; -1; 935318756; 68746235; -1; 937230471; 52727747; -1; 300175540; -1; 125692654; -1; 347095214; -1; 897865809; 272717032; 941485093; 893498920; -1; 24100304; -1; -1; 554661459; 813163520; 609572577; 53621257; -1; 69040143; -1; 213081244; -1; 616330244; 988832143; -1; -1; -1; 477933866; 46199563; 841403214; 961572126; -1; 723432729; 182222442; 655133653; 551650597; 803344023; -1; 870588749; -1; -1; -1; 826664700; 678357370; 774456680; -1; 656544823; 762513416; 402560169; 39177686; 217787800; 205956267; 449353683; 390625248; 86562853; -1; 778811542; 925385013; 931353364; 462360848; 354931662; -1; -1; 832327349; 254760443; -1; -1; -1; 489548242; 998653037; -1; 325784349; 477330786; 702444902; -1; 933358852; 887924321; 571029064; 919621213; -1; 5676760; -1; 936312764; -1; 150916390; 383537592; -1; 129722391; 986708156; 353960811; -1; -1; 506969101; 253430990; 640698757; -1; -1; 717654870; 691987983; -1; 796869465; 765161005; 553064185; 134687688; 413698193; 396097535; -1; 209879964; -1; 724982646; 785860693; 640329065; 728611702; -1; -1; 19135661; 741905493; 274159442; 623086234; 976603551; -1; -1; -1; 458366258; 556272849; 796895821; -1; 862362932; -1; -1; -1; 87072375; 405092500; 224540043; 698639061; 382660107; 109944080; 660711490; -1; 818782504; 693456142; 612104835; 69005210; 677125380; 97364109; -1; 919782660; -1; 437311925; -1; 235928593; 522573974; -1; 905922734; 793248249; 896201803; 60031987; -1; -1; 118034439; -1; 194059033; 358334840; 161367053; -1; 212950182; 426142138; 828038328; 721116454; 596965084; -1; 431577942; 76747845; -1; 116490942; 431551761; 961093536; -1; -1; -1; -1; 716129532; -1; 118109358; 68766594; -1; -1; 545797709; 879466884; -1; -1; -1; 848593045; 589872647; 257856423; 312832861; -1; 99393206; 223010815; 608809633; -1; -1; -1; -1; 883252150; 19703105; -1; 873497775; 217981167; -1; 614151830; -1; 329147150; 65639481; 676527816; 691441958; -1; 612334098; 535102485; 774301581; 32691304; 539813563; 94343572; 577084854; 112518928; 319037541; 855576429; 81352214; 846242459; 808671562; 780624290; 784383805; -1; -1; 141031190; -1; 509062321; 430967733; -1; -1; 968350433; 198517706; 962447731; 732150060; 748242837; 549572390; 480689113; -1; 88542712; 464987701; -1; 946833916; 88744020; 739533407; 827589924; 944953009; -1; -1; 468545238; -1; 604664564; 368850414; 26021383; 623225612; -1; 839460043; -1; 703686960; 854401801; -1; 74467698; 674892359; 306230407; 84858354; -1; 728617224; -1; 839335590; -1; 698112170; 483349098; -1; 675971711; -1; 399394662; 983100506; 855979899; 995207835; -1; -1; 778962423; 630113082; 100973322; 226114789; -1; 474918431; 969112583; 958229319; 648809473; 326417878; 673688881; 70408766; -1; 585449546; -1; 786343448; -1; -1; 475683904; -1; 216743572; 528097357; 641116431; 333600409; -1; 355374040; 72049810; 904428314; -1; 167600114; 774800250; 408906157; 340484622; 380542859; -1; 360600981; 485318475; -1; 636469458; 899243089; 833543307; -1; 704746798; -1; 645435777; 978043290; 473689793; -1; 388286715; 277633478; -1; 321374828; 830026355; 456224253; -1; 481931383; 407525337; -1; 802461489; 260314653; -1; 807062304; -1; 980162325; 790159669; -1; 446342192; 551894049; 258608333; -1; 628588927; -1; -1; 572710148; -1; 674303211; 571205629; 741787451; 477326326; 724630447; -1; 439956522; 658136256; 134480071; -1; -1; 711698888; 323658112; -1; 356409568; 969790454; 40571524; 645604379; -1; 733671593; 4905308; 903352694; -1; 825995342; 581911607; -1; -1; 78188086; -1; -1; 331476763; -1; 488898875; 287611334; -1; 550030252; 333641622; 712043423; -1; 988648888; -1; -1; -1; -1; -1; -1; 355452660; 295467337; 4470021; 858621068; 228543675; 197040090; 740233551; -1; 354723752; 81330134; 361044700; -1; 494715202; 628443366; -1; -1; 676493686; 576605419; 388987087; 612423015; 638035354; 884083887; -1; 648666835; 954905506; 391720909; -1; -1; -1; 192518293; 974608215; 448233237; 606688911; 999882293; -1; 680015282; -1; 810572934; 549802651; -1; -1; 874421589; 359714184; -1; 765153793; -1; 212395544; -1; -1; 112793259; 638315174; -1; -1; 473462413; -1; -1; 210408170; 47927429; -1; 316560673; -1; 524863603; -1; 471109031; 798457039; -1; 111847626; -1; -1; 125573507; -1; -1; -1; 885419997; 964502684; -1; -1; 583656840; 46856290; -1; -1; -1; 445086573; -1; 966820921; -1; 641159948; 344842408; 55022400; 908568822; 440159824; -1; -1; 479844741; -1; 633423197; 195950579; 937793499; 641531671; 551698473; -1; 419037205; 746443291; -1; 411035401; 302325284; 676959709; -1; 787281510; -1; -1; 960642123; 577807930; 99921352; 269855249; 479570987; 525041134; 246984192; 132576205; 230807381; -1; -1; 185655070; 853086510; -1; 315568896; 37871003; 481840517; 818082060; -1; 535124295; 530352169; 547498051; -1; 98675630; 318653178; 572178153; 453915937; 333203834; -1; 11226418; 311506255; 9982527; -1; 395969417; 750237369; -1; 156754455; 458790681; -1; 281897950; 501549870; 754149298; 794645054; 827820116; 176167298; 962349691; -1; -1; 550425645; 527168763; 970509688; 398276983; 934868197; 105712804; 269787116; 793206457; 579587850; -1; 406523629; 662303757; -1; -1; 202859629; 197753641; 718014957; 647113493; -1; 427996700; 143295913; -1; -1; -1; 921663685; 404505206; 337480880; 367211682; 752372553; 946879062; -1; 173455104; 743958580; 963051519; 876630627; -1; 498541178; 865158893; 601207035; 370660884; 604561547; -1; 599733465; 758291712; 866314906; 139368910; 615117444; 418794855; -1; 788591762; -1; -1; 338662398; 747066682; -1; 222265941; -1; -1; 634125065; -1; 249496257; 445990859; -1; -1; 217867519; 890581911; 157119496; 16165406; 839578954; -1; 400164710; -1; 980658203; -1; 779393016; -1; -1; -1; 561499939; -1; 362212970; 460818451; -1; 143787191; -1; 377197686; -1; 305399803; 196525478; -1; 542628095; 237659621; -1; 282441290; 354375525; 711974038; 651374126; 487096736; 497407200; 36608252; -1; 575928645; -1; 145909048; -1; -1; 771533243; -1; 101853503; 122272537; 186986508; 674113591; 991263872; 953051667; 171898945; 182003881; 161690124; 371211396; 179156592; 114245524; 410931280; 698792547; 602850135; 226182995; 623921798; 850855563; 55675240; -1; 493332152; 427100007; 272561861; 532116030; -1; 465278038; -1; 568205949; -1; 683052221; 453912648; -1; 840759105; 425528590; 173385422; -1; 955609444; 454067851; -1; -1; -1; 500162702; -1; 767466838; -1; 346203861; 835446476; 683632824; -1; 863187441; -1; 392179639; 354593365; 842243571; 644998466; 522745139; 398387782; -1; 578112093; -1; 72067071; 922331964; 915028051; 620576677; 809732888; 796797837; -1; -1; -1; -1; 829085644; -1; -1; 911212348; -1; -1; 30003549; 149411100; 117957282; 219183124; 543318817; -1; -1; -1; 792162747; 519178643; 966032098; 35444392; 398908044; 202960658; -1; 127594675; 719345166; 511418932; -1; 528270375; 413503360; -1; -1; 55732496; -1; 481905770; 655025456; -1; -1; -1; 714299685; -1; -1; 593531794; 981372714; -1; -1; 124997642; 82786827; 152748204; -1; -1; 56308254; 615640085; 398391630; 381114900; 236966485; -1; 640542718; 283503868; 464503886; 518841502; 63133062; -1; -1; 880063527; 353476415; -1; 173105281; 389648796; 668582459; -1; -1; -1; 425908909; 441163657; -1; -1; 664400512; 940798139; 982113549; -1; -1; 358909901; 302990852; 59593658; -1; 82445321; -1; 727541789; 88048790; -1; 146160877; -1; 617524222; 67204103; -1; -1; 750249753; 468987106; 454987871; 928682572; 624280428; -1; 841176738; 331691050; -1; 885871446; 619679666; -1; 808837573; 479876217; 242604058; 952503202; -1; -1; 247122615; -1; 534779028; 286063269; 732352102; 689408653; 335124717; 959441358; 19159031; 788615996; 399153612; -1; -1; 954474545; -1; -1; 804077852; 616841406; -1; 292884191; 932719656; -1; 119087897; 79504230; 138146318; 228419058; 688549804; 751409725; 538885758; -1; 560009819; 203475056; 560472803; 180346512; -1; 4468976; -1; -1; 838173301; 550324818; -1; 845947973; -1; 636683495; 470662949; 448522621; 33881630; 918468333; 763285390; 417769568; -1; 690456567; -1; 321069327; 222167919; -1; 301005624; 202945142; 893651443; 841590136; -1; -1; 875806985; 952641502; 350841605; -1; 835114899; 725798080; 732549359; -1; 484702494; 582586125; 819115604; -1; 622781347; 887229116; 642918678; -1; 835273247; 872140228; -1; 320863807; 315028816; -1; 860084787; -1; 168309337; -1; -1; 880889955; 783619789; 147031697; 474452679; 27831181; 875365473; 778897799; 578115991; 583579823; 266420575; 173878940; 943809587; -1; 101099954; -1; 382449661; 472780686; 30981114; 927011547; 621228357; 278057987; -1; 398382186; 335300384; 195949276; -1; -1; 3282139; 48921114; 217909490; -1; -1; -1; -1; 321252394; -1; 317689664; 273428562; -1; 160705437; -1; 542862141; 935491517; 919483614; 326721174; 397815542; -1; 436248511; 24409378; 325854786; 832316487; 361889409; 944587546; 905084867; -1; -1; 246340481; 606568402; 661856746; 243344135; -1; 817279305; -1; 899413839; 841243443; 136955010; 623887288; 423445959; 840259197; 786443595; 173274351; 370189740; -1; -1; -1; 724144041; -1; 832618600; -1; -1; 30778149; -1; 886120208; 512935181; -1; -1; 359626838; 826783374; 69274386; 102719299; 329157505; 901027518; 181059037; 549660715; 618435280; 212649913; 734912817; 397264282; 773622635; -1; -1; 544189784; 167229697; 414743182; 314934567; 238943066; -1; 78547313; -1; 848013450; -1; 908959577; 506260755; 253291976; 48369257; 734048187; 971296125; 600170823; 941675702; -1; 740248880; 912141895; 747753037; 542327287; 979949729; 575774563; -1; -1; -1; -1; 425542672; -1; 794786424; -1; 790335156; 281329199; 950077548; 967326079; 925718299; 125394915; 536969989; 172052532; -1; 756108960; 686006623; 763751762; 150800964; 43822284; 58271660; 926461611; 486200576; -1; 789499137; -1; -1; 557763685; 561256840; 63322068; 340750630; 94837952; -1; 308644709; -1; -1; -1; 811528317; 606609306; 916502984; -1; 549793102; 714402937; 598923775; 466283099; -1; 705933787; -1; -1; -1; -1; -1; -1; 115163781; 288115070; -1; -1; -1; 899878805; -1; 171610185; 841504245; -1; 428936397; 907206256; 525324669; 727293336; 324954604; 894931204; 234177750; -1; -1; 608201276; 615492303; 889412095; 144935795; 863097694; 942776887; 259662377; 248497409; 515261602; 352939419; -1; 53226611; 621906736; 270851879; -1; -1; 593483805; 726208700; 883683398; 80447749; 856128567; 828830300; 941436946; 570900797; 555878392; 392430530; -1; 757003928; 439111580; 443420823; 752372230; 635816933; -1; 155154292; 150379255; 744885629; 186989043; -1; 955501141; -1; 783292671; -1; -1; 435029233; -1; 690811041; 11365697; 884212474; -1; -1; 692176886; 82813141; -1; -1; -1; -1; 194538341; -1; 425689255; 61207802; 293046729; -1; 21188106; 63452295; 43087681; -1; 555172293; 635489767; -1; -1; 650775147; 173597301; 643789394; 250273259; -1; 308221642; 613977814; 715059047; 323942444; 385467367; 800996347; 361288943; -1; 562510170; 628411263; -1; -1; 782197897; 957755160; -1; 348464704; 198600909; -1; 958655775; 656725709; 428280032; -1; -1; 475418486; 700577784; -1; 653675665; 829638928; 320459009; 382125592; -1; 686023976; 372964343; -1; 896356102; 790083313; -1; -1; 493496881; 7886082; 755080742; -1; 275427777; 147775954; 635591164; 631133339; 415896202; -1; -1; 16634613; 877357319; 582465442; -1; -1; 411726045; 618111450; 173126636; -1; -1; 992349967; 918198047; 113345327; 281543588; 152953277; 488519654; -1; 502967242; -1; 795439682; -1; -1; 416365318; -1; -1; -1; 159639795; 741637823; 246304148; 247694805; 424195899; 851829777; 777124680; -1; 852184955; 47820794; -1; 293207493; 474951165; 516343240; 640423727; 183789369; 404412773; 870705814; -1; -1; -1; 323960013; 823074103; 956579575; 197965223; -1; -1; 955852421; -1; -1; 586488683; -1; 990429554; -1; 722938676; 101452624; -1; 141930987; 541519014; 183096807; 109482127; 512728382; 361844404; -1; 922643109; 914084825; 409659837; 433847164; 872828396; 235036879; 2477878; -1; 940971018; 388007593; -1; -1; 751220925; -1; -1; 169816937; -1; 267055522; 687083308; 4262920; 464499078; 550288658; 255762160; 644010152; 381412732; 302689646; -1; 503625904; 3526763; 649817664; 264154860; 731439576; 142160280; 481836628; -1; -1; 967194352; -1; 804469612; -1; 195788099; 605646982; -1; 617110149; 880913107; 620664050; 233883097; 96615753; 315892161; 16321782; 743749136; -1; -1; 703518739; 39867481; 402260162; 818249428; 604278649; 666702322; 691856439; 457482670; 646452093; 528814838; 719290802; 633703978; 124023624; 849715179; 632915196; -1; 909692463; 694213178; 653201830; 443500629; -1; -1; 870683116; 407602053; 785543099; 696165922; -1; 119937220; 902939165; 758753751; -1; -1; 649216124; 586785907; 969074688; 941294810; -1; 508500825; -1; 83328781; 554038139; 409444844; 863366252; 874075303; 751694411; 20241242; 349096338; 441023379; -1; 476001158; 449051962; -1; -1; 758335312; 454703637; -1; -1; 165523991; 303221436; -1; 664321851; 268381774; 772636309; -1; -1; 317867602; -1; -1; 18965250; 578397571; 236443953; 570079223; 632849165; -1; 129412113; 882708466; 968770612; 271706301; 34634604; 285909336; 279669017; 516995117; -1; 50913909; 833529106; -1; -1; 948044831; -1; -1; 157227144; 490908491; 272525993; 372801457; 763267172; 106076399; 401667804; 186875300; -1; 750097861; 426677540; 915908129; 362739392; 658627500; 293717461; -1; 144651743; 529142563; -1; 354761214; 166855928; 357268444; 27583922; -1; 665128514; -1; 830161608; 86874813; 31003641; 809831394; 400523628; 969948823; -1; 909203636; 30270532; 632614119; 412990219; -1; 632012621; 334936418; 448635359; -1; -1; -1; -1; -1; 768925840; 188079164; -1; 759531792; 719309641; 664915083; -1; -1; 843593744; 335884890; 715427875; -1; 155809633; 699237290; 829697573; 883488041; 898748044; 759889324; -1; -1; 739900017; 831600810; 58098534; -1; -1; 745803589; 563485217; 488590670; 476512832; 436641825; 598613554; 180911343; 796179465; 3294394; -1; -1; 349826160; -1; -1; 796729592; 507354999; -1; 849844299; 660247610; 419519062; 852352651; 80148471; 570812386; 359875461; -1; 91812147; 301971236; -1; -1; -1; -1; 184850871; 669430945; 647453924; 439857966; 603469199; -1; 82360026; -1; 918213115; 629819040; 950428011; 172096624; -1; -1; -1; 758219979; 278921012; 648694797; 529732587; 861203948; -1; -1; 712505140; -1; 29602362; -1; -1; -1; 652329257; -1; 244557698; 653836484; 731100439; -1; -1; 954174758; 711532576; -1; 715227139; -1; 964289053; 737705500; -1; 978943852; 293487704; -1; -1; 179340102; 845509082; 598280912; 956595431; 320872044; 849579716; -1; 474547219; 486302723; 980236455; -1; 444509454; 465617938; 452484049; 389341558; 258300563; -1; 139087487; -1; 60236877; -1; -1; -1; 574483283; 244500327; -1; -1; 52679127; 9310317; 697465899; 193427574; 780952992; -1; 29315184; -1; 231429746; 799576897; -1; 256298456; 653662594; 146517293; 201476290; 126617792; -1; 114382151; -1; 961765327; 416771569; 381322371; 867109632; 757113083; 294817171; 857422606; 995245276; 66280883; 649844355; 979801111; 818731662; 815563478; 761693206; 994893333; -1; 101441055; 353164314; 804331177; 4123495; 833077775; 439200445; -1; 806336202; 194113985; 327614188; 44180192; 858681328; 360101811; -1; 665608165; -1; 403068354; 205714903; 989225374; -1; -1; 651064273; 735234858; 441327878; 846993062; 762719454; 120951222; -1; -1; 341692283; 935762240; -1; 428201593; 908554547; 822994224; 599607741; 626542867; 508012354; -1; 801858500; -1; 548861991; -1; 917875521; 135183271; 383951946; -1; 506467702; 404499421; 85424830; 494463618; 143157163; -1; 174944046; -1; 676962404; 477141770; 826716076; -1; -1; 408623724; 609284775; 371311168; 15367978; 990083124; 484205621; -1; 807687416; 398732408; -1; 971408138; 297519010; 576028974; 945551093; -1; 281579994; 604242415; 937828694; 808782237; 809091444; 468683714; -1; 857397859; 829636929; 67054715; -1; -1; 968033863; 680607797; 170248132; 24572906; -1; 701576637; -1; 180574994; 888487531; 323933352; 609307406; -1; -1; -1; 806800799; 257684847; -1; 84785238; -1; 385307882; 362661115; 778627055; -1; -1; -1; -1; 736927481; 219794810; 948168594; 254751240; 414065049; 115159391; 705624942; 971368671; 981398487; 402346501; 412633102; 467150195; -1; 747999028; -1; 891690192; 448014273; -1; -1; 589323927; -1; 776733001; 786397188; -1; 477887132; 476107300; -1; 356669111; -1; 168219191; -1; -1; 862356701; 234546659; 903002843; 804306566; -1; 57735649; -1; 848778436; 922363431; -1; -1; -1; -1; 831706749; 720856338; 636614234; 82770658; 62000293; 184123445; 294045722; 68626997; 640571584; 111200135; -1; 623137763; 690026129; 773666173; 904222983; -1; 705401607; -1; 824474336; -1; 701059666; -1; -1; 860878132; 437134090; -1; 751618132; 770499222; 114936978; -1; 798844620; 45986221; -1; -1; 739095059; 940969518; 1243988; -1; 625000482; 706821867; 874904235; -1; 552284530; -1; 127979699; 915035824; 607130172; -1; -1; -1; 646301367; 696869307; 947361481; 245245454; -1; 791324037; 295705846; -1; 565940284; 559744816; 775174977; -1; 54114318; -1; -1; 962467654; 481350507; -1; -1; 857593928; 712515688; 861684993; 426881372; 154957286; 647065405; 531607680; -1; -1; -1; 421991667; 966192772; 818750621; 920193864; 55162173; 643188144; 981166563; 724044115; 320310238; 299891168; 860962775; 761292243; 941119188; 483460057; 874303194; 795473671; 311206500; 346638888; -1; -1; 775839411; -1; -1; 796622223; -1; 723359478; 962988820; 390909916; 438370598; 852994330; 650952727; 818011950; 413963877; 843578549; 417154486; -1; 286284916; 592384219; 941984613; 295838085; 846009848; 801343017; 576462264; 183415881; 117933200; 71065440; 109812939; 89574173; 666312388; 864632260; 948470850; -1; -1; 468227079; 654383437; 633540926; 561888799; 959629667; 954396455; -1; 812421141; 161739030; 746739237; 614557943; -1; 656294908; -1; 462376447; -1; 371761526; -1; 515041222; 551722352; 251607108; 843697989; 179338130; -1; -1; 294481814; -1; 749173256; 20701674; -1; 995854937; 115226888; 614741472; -1; 199984177; 251828255; 50424528; 573758671; -1; 539712591; -1; 389002499; 251326773; -1; 816521621; -1; 357321094; 841890636; 132811243; 366452577; 88001665; 834104057; -1; 568214042; 856511927; -1; 60959654; 91925475; -1; 87912943; -1; 789722670; 810268136; 732068835; 451864633; 782061336; 996033750; -1; 350613755; -1; 523777286; 641206512; 99243420; -1; 791830993; -1; -1; 730236396; 33939467; 380440400; -1; 128966150; -1; 861270045; -1; 473053448; 870509250; -1; 573835261; 27589501; 837029267; 129970563; 158494570; 635771226; 655191508; 129662720; -1; -1; 137820298; 935300853; 487511700; 65020077; 265709204; -1; 535662271; -1; -1; -1; -1; 727108352; 726094638; 369576692; 711027791; 675608201; 279954334; 420390291; 741338033; 791775458; 338126531; 39794661; 312593141; 106688467; 21674913; -1; 765235874; 850799937; -1; 838372388; 138142188; 2495315; 225606216; 829249898; 373313296; 625992094; -1; -1; 379702735; 368878675; 902401475; -1; 634559766; 995795494; 651208885; 988744222; 538414128; 361462838; 554070910; -1; 228473480; 55074041; -1; 995143737; 134799734; -1; -1; -1; 972138229; 426993221; 938049210; -1; 688031275; -1; 2661696; 386144112; 630249223; 669486913; 951296403; -1; -1; 154900751; 544397677; 483543920; -1; -1; 279293214; 510159250; 854348026; -1; 971775189; -1; 559493633; -1; -1; -1; 951871249; -1; 14552051; 895848603; 246915431; 768965297; 216747153; -1; -1; 226706424; 952228290; 667142707; -1; -1; 135173267; -1; 870361193; 54969424; -1; -1; 762652355; -1; 779719627; 9979399; -1; 667320556; 631128367; 783581661; -1; 178192634; -1; 908817211; 43948706; -1; -1; -1; 908226192; -1; 825998036; 255115353; -1; -1; -1; 938576796; 355690294; -1; 541047954; -1; 412639827; 804669288; 592492428; 742250814; 768728503; 907553956; -1; 268314956; 228915459; 932501789; 460685346; -1; 246567358; -1; 971806050; 167861404; 723596183; 979803535; 996695589; -1; 165093008; -1; -1; 711249474; 660325130; -1; 695241843; 984040375; -1; -1; -1; -1; -1; 997543289; -1; 298553215; 185413470; 42853859; 110504988; 26022940; 183085614; 328537955; -1; 423836769; 617925305; 956689310; 862555971; 265978773; 136339090; 333432285; 881060985; 877977018; 815917302; 812815338; 693104321; 714780345; 382477173; 460345872; -1; 146100470; 935080282; 81306883; 3853175; 438883481; -1; 585260294; 178725628; -1; 909062720; 660599694; 612851917; 515535532; -1; -1; 791732465; 634559302; -1; 778450700; 112709689; 5376033; 749937319; -1; -1; -1; -1; 499508947; -1; -1; 241695962; -1; 59690756; 484563887; 563772396; 341598785; 738506203; 176673200; -1; 917468880; -1; 204530381; 383627000; -1; -1; 988172828; 500246958; -1; -1; -1; 306590799; 78808441; 216502164; 648048652; 31108737; -1; 288504543; 402343673; 320968597; 785571135; 53437038; 359291033; -1; -1; 880939482; 505787578; 205613964; -1; -1; 246460165; 558292408; 389193838; 422311158; 213453949; 123459489; 574550995; 553906916; 672226678; -1; 29451313; 110245864; 180324673; 69060664; 145974288; 624896972; 673298007; 832918730; 724902772; -1; -1; -1; 852667224; -1; 378730225; 147153456; 62883998; -1; 942871306; 385159295; 81797684; 92109038; 702235106; -1; -1; 11787313; 494380052; 489703627; -1; -1; 618142634; 889767016; 937925002; -1; -1; 173922400; 741411962; 84339057; -1; -1; 353330729; 559212598; 220465992; 355021387; -1; 860291186; 50729291; -1; -1; 711959597; 718870961; 828150027; -1; -1; -1; 724131842; -1; 118250732; 871097870; -1; -1; 709881006; -1; -1; -1; 374309359; 490516979; 674737255; 88627464; -1; 405110229; -1; -1; 679503961; 628832246; -1; 90565457; 364467688; 511299975; 173852508; 252767311; 660290437; -1; 308469119; -1; 624052953; 874258603; 427835957; 858045513; 450702383; 674753188; 784035138; 195472792; 787360406; -1; 381088739; 107459309; -1; 627039655; 890381892; 105309712; -1; 476948810; 882199360; -1; 538609200; 611641242; 907693747; 472105162; 279290474; 737348331; 894189802; 496317595; 611947152; -1; 695431233; 459655522; 512225424; 153696533; 305285726; -1; -1; 68762945; 325645935; 319577127; 221021884; 761788752; -1; 745954965; 639362414; -1; 348496954; -1; -1; -1; 939217274; -1; 338714206; -1; -1; 446048740; 889488539; 48653990; -1; 952218563; -1; 567241090; -1; -1; -1; 392859406; 215371613; 234784500; -1; 886575584; 447819687; 821918542; 38697615; 810052211; 791628185; -1; -1; -1; 681684839; 137835748; 323088428; 133980699; -1; 240318852; 522572808; -1; 839955776; 606814213; 303138606; 155776776; 110194829; 350892973; 461122239; -1; -1; 961701241; 987248975; 539633392; -1; -1; 481524056; 165874039; -1; -1; 873963654; -1; -1; -1; 752770829; 379868549; 406108904; 160702399; -1; 666069818; 426176315; 174469160; -1; -1; 80209785; 131735849; -1; 281681695; 593503547; 350329890; 704073900; 346814352; 546227159; 594938397; 770225015; 623495373; -1; 419761309; 471949202; 322435817; 87185771; 203165221; 806207828; 12648599; -1; -1; -1; -1; 529911965; 156436980; 830753541; -1; 63997593; 976370727; 883365098; 668246074; 679955297; 623876079; 281537226; 500061028; 871854314; -1; 622164302; 538672222; 408874380; 452339302; 712132752; 35591801; 536264985; 277416785; 529773762; 383603449; 170159316; 713710815; 512553102; 764402222; 634094764; 462573669; 23565381; -1; 497906607; 690783325; 244440917; -1; 322519909; 647087155; -1; 594237874; 970499466; 480358818; 242701433; -1; -1; 158487036; 962114803; -1; -1; 253407275; 805081930; -1; -1; 589682943; 940712837; 829565731; 437536077; 364276083; 182746412; 645758408; 553262842; 65049268; 165159804; 746792320; 154529553; -1; 586906086; 369585773; 184809329; 776064310; 229618851; 682636225; -1; -1; 82593912; 749616296; -1; 822443388; -1; 851037621; 845311585; 147745125; -1; 459382652; 960114399; 691218719; 762222045; -1; 793483778; -1; 1330426; 346939596; -1; -1; 543788783; 317825354; -1; -1; 319748487; -1; 851200887; 939007965; -1; 901628450; -1; 961378364; 947677046; -1; 428855310; 985075626; -1; 427358218; 442895130; -1; 158298235; 944003189; 339148425; 614992308; -1; 163793841; 276739861; 489926811; -1; -1; 682833611; -1; -1; -1; -1; 453464273; 936691968; 516434052; 612395113; 524488824; -1; 418005018; -1; 980471706; 278453593; 633130747; 561110577; 90597801; 14361629; 820966736; 751081648; 989605446; 966275852; 985974123; -1; 982317817; 948324684; -1; 472730077; 612437394; 487463941; 440709391; -1; 41545141; 970054733; 739196087; -1; -1; 634056058; -1; -1; 733715904; 508715304; 333121974; 149301928; 52722605; -1; 844875989; -1; 466112735; 582880663; 672791775; 487548678; 244972661; 212166279; -1; 860400168; 369653005; -1; 855035130; 305513499; -1; -1; 823799221; 438106884; 815315696; 753641384; 766644670; 757729423; -1; -1; -1; 622359293; 333941598; 603571415; 598578545; -1; 370337508; 880971287; 258613435; 820795638; 153379999; 250804468; -1; 80294590; 8777687; 357828918; -1; 491163962; 765332601; 60074655; 204895097; 2804535; 220880987; 383745009; 862370426; 622695615; -1; 713051738; -1; 777339805; -1; -1; 209109769; 699290107; 489433864; 632754858; -1; -1; -1; 467299867; -1; 888455270; 781298613; 267554089; -1; 872645850; -1; -1; -1; -1; -1; -1; 747910480; 865081331; -1; 566181124; 847463622; 70566597; -1; 615584103; 79884406; 991913164; 201423996; 186313409; 191491836; 176315692; -1; 706827814; 563547250; 62735422; 454423449; 319464841; -1; 291096407; 161674215; 773510645; 678424041; 556962170; -1; 421601912; -1; 219043779; 174776598; -1; 479560205; 124279862; -1; -1; 259165021; 44038385; 979654421; 751030415; -1; -1; 589256348; -1; 269247559; -1; -1; -1; 464044560; 763671711; 123408105; 562531621; -1; -1; 812557658; -1; 879877640; -1; 957494319; 6444296; 409339546; -1; -1; 896202323; -1; 822879374; 754674594; 692755669; 507652237; -1; 159817017; -1; -1; -1; 776086034; 707613534; 183584923; 233633422; 461271074; -1; -1; 136654369; -1; 875117455; 225612140; 221265352; 27930292; 908805606; 216840853; 193242892; 807331105; -1; 981994963; -1; 341609129; 31122346; -1; -1; 215308168; 33082528; 632374418; 11472577; 361059218; 48054806; 685629907; 592189093; -1; -1; 616202679; 764145789; 660426764; 982310120; -1; -1; 382104469; -1; 345291481; -1; 157156754; 745471012; 921907605; 481952613; 144239667; 117612984; 935249140; 665274012; 946288326; 587690658; 886122716; 604841726; 696443625; 66780119; -1; -1; -1; 965319439; 59204950; 820073253; 394592733; -1; 77026042; 96618368; 737400251; 105538472; 195940339; 4225304; 787644227; -1; 877782167; 726498958; 646701568; -1; 940572477; -1; 251193343; 63651216; 974638620; 329637630; -1; 530649750; 94879066; 499456894; 782913193; 261018208; 173459564; 884530774; -1; -1; -1; 57658643; 304729357; -1; 180049890; 701888947; 698676382; -1; 319421073; 70350700; 397062897; 295877607; 291199416; -1; -1; -1; -1; -1; -1; -1; 853724137; 715382416; -1; 77838960; -1; 567365737; 212684182; -1; -1; 97177998; -1; -1; 106990077; 733306709; 179300501; 233581547; 426972699; 306524831; 622480326; 549056372; 649444861; 625930950; 616115685; -1; 609493711; -1; 15979099; -1; 6409291; -1; 782328217; -1; 53635899; -1; 524365696; 878469499; 235724792; -1; 763126844; -1; -1; -1; 189842537; 878542380; -1; 617769283; 917908109; 335872011; -1; -1; 392241601; -1; 745719175; 546241204; -1; 126907135; 76394781; 90773286; 508296632; -1; -1; 527668454; 553110007; 695899230; -1; 395189008; -1; 709615481; 477842619; 705822592; 33871840; -1; -1; -1; -1; 973101342; 191700425; 273310671; 22712167; 728780206; 163823890; 701574206; -1; 205872743; -1; -1; 188659627; 30712987; -1; 331959029; 454006274; 749115234; 590006118; 781546730; 222940630; 231507679; -1; 939411738; 885528109; -1; 180310734; 535564749; 621868070; -1; 194900090; -1; 953115169; 648464995; 369087657; 969255284; -1; 370481573; 614265770; 116459781; -1; -1; -1; 187740252; 661068844; -1; 251624771; 229593506; 280570690; -1; 17864784; 911333422; 6678243; -1; 156024514; -1; 127063246; -1; 199092126; -1; -1; 206818268; 256557359; 704816075; -1; 741676008; 685377855; -1; 474732525; 949109928; -1; 678436678; -1; 294318520; 757552169; 797748592; 893741782; 644554985; 447740227; 225967047; 371624052; 96103668; 988391958; 209947038; 256182410; 590119033; 805533469; 898688691; 292672273; 136131719; -1; -1; 415888819; 953721264; 154080472; 990228341; 26784963; 461062387; 236089184; 435314942; -1; 595120499; 320172628; 557381512; -1; -1; -1; 691572659; 786855616; 939425932; -1; 135530516; 366138791; 91564554; 491221407; 78150024; 650583800; -1; -1; -1; -1; 379186642; 239147878; -1; -1; 249871188; 982707694; -1; 303349047; 994708361; 509199682; 610087589; 514929851; -1; 707047166; 250198874; 328598499; -1; -1; 128154328; 47720491; -1; 992440588; 660832643; 527224233; 749423739; 990509344; -1; 57567449; 373186925; -1; 299888326; 756137787; 745374408; 618374011; -1; -1; -1; 35335286; 970238860; -1; -1; -1; -1; -1; 458103215; -1; 531005511; 90890190; 732841470; 910230702; 157681007; 38718335; 742620518; 438786602; 23278447; -1; 788600646; 28481059; 11773071; 613266828; 318442688; 273000468; -1; 712719420; -1; -1; -1; -1; -1; -1; 920861239; 317157822; 483839298; 277383564; -1; 796674101; 509637537; 929851729; -1; 231746398; 348433751; 314763335; -1; 329193084; -1; -1; 378454985; -1; 256890141; 182200835; -1; 960865568; 560965292; 303173430; -1; -1; 646873201; 906748265; 120114497; 974158801; 941856430; 477377126; 147046885; 619347391; 588447318; -1; 436505618; -1; 364764053; 547276559; -1; -1; 313241378; 407672089; -1; 54586508; -1; -1; 537608821; 259914125; -1; 331313478; -1; 116977488; 911425639; 648063739; 615251940; 706203459; 227196848; 234587512; -1; -1; 272908233; 252016740; -1; -1; -1; 281593934; -1; 131091630; -1; -1; 450308975; 293541223; 412344638; -1; -1; 989979525; 283218957; 526183745; 185522750; 180396365; 860932785; -1; 275701355; -1; 843563287; -1; 949112354; 60638215; 494741734; -1; -1; 771376938; -1; 706513270; -1; 842234669; 818510447; 47867005; 6669647; -1; 306410968; 815876715; 779150370; 6967638; 372642669; 160924719; 956469301; 526832632; 284473045; -1; 755255973; 139142941; 928146350; 845810963; -1; 305512306; -1; -1; -1; 693727254; -1; 531703008; 740881484; -1; 239752530; 496304192; 951329618; 253194939; -1; -1; 644914135; 872272200; 550629269; 965101178; 674836468; -1; -1; 676280162; -1; 556628617; 429145885; 610737102; 476293234; 764982776; 287449169; -1; 405099960; 577404077; 441239405; 524792016; 859001093; -1; 825845464; 766338823; 819462522; 993291823; 889240565; 856307086; -1; 228918306; -1; 102786776; -1; 111770573; 883252643; -1; 42102392; -1; 774528820; 128440603; 460426179; 838835612; 432174736; -1; 89350427; 61593150; 73274883; -1; 348772074; 888342222; 321201026; 242841912; 94280782; 190472097; 878343617; -1; -1; 332784098; -1; 875900456; 478232485; -1; 722726551; 811320218; -1; 748753210; -1; 891892561; 740167156; 667344435; 879277517; 115809703; -1; 737335567; 814346255; 115766597; 178751129; -1; -1; -1; 98821646; -1; 270562949; 294292422; 687130280; -1; -1; 604840887; -1; 541368335; 211836132; -1; 911710848; 847743212; 195512828; 260280320; 663331549; 185634168; 505292049; 98335688; 273216716; -1; -1; 383964247; 324139757; 858198353; 997965553; -1; 305689223; 593486424; -1; 683599974; 908941459; 632248751; -1; -1; 784712227; 663089009; 848875305; 69472402; 630148468; 856698995; 70653237; 677200140; 397211703; -1; 689887702; 624278728; 443833639; -1; -1; -1; 681201333; -1; 703185325; 664029115; 449983450; -1; -1; 832274615; 249908387; 248053712; -1; 194612491; 302373054; -1; -1; 120568019; 555743798; 843649324; -1; 340284778; 330543629; 29872945; 619551398; 428509734; -1; -1; 311308236; 808967767; 527096728; 325315769; 466475353; -1; -1; 790558450; 200881265; 956229123; 234600215; -1; 863641810; 698473872; -1; 188608075; 640794203; 96945412; -1; 951776027; -1; 1938476; 226496675; 653000210; 573079181; 267318255; 589780970; 221567882; 588244403; -1; 639880864; 652032192; 823485021; 662038748; 762054987; -1; 691457686; 568374139; -1; 91396936; -1; 195181355; -1; 378128560; 278919346; 736897871; 844510764; 865231007; 712732076; -1; 117011876; 900269074; 48634420; 361201880; -1; 431894776; 440452957; 317189171; -1; 858188290; 709312010; 42722126; 552130133; 913292336; 584562451; 112521855; 509617779; 988458206; -1; 788676201; 729272504; 860793633; -1; -1; 478905813; -1; 694565322; -1; 791980958; 810514565; 858380844; 391293751; -1; -1; 409851648; 194798971; -1; -1; 388626199; 358605966; -1; 252383799; -1; 168587025; 873764867; -1; -1; -1; -1; 70161909; -1; 583475813; 537794628; -1; 595563973; 863522157; 621033530; -1; 400841085; 570302322; -1; 758730025; 377463523; 40606064; 77449478; -1; 344241552; 591527448; 996367917; 953832744; 736715916; 417424706; 667117342; -1; 556400775; 602629847; -1; -1; 428661590; 512165926; 89642440; 854654438; -1; 124386588; 885781173; -1; 787320452; -1; -1; 526463127; 886657422; 523382733; 202785968; -1; -1; 811040764; 725730447; 416514146; 276534798; 823931541; 801956224; 387433404; 765503646; -1; -1; 752010663; 177806365; -1; -1; 752155731; -1; -1; -1; 969485555; 471761467; 544100711; 256690117; 159193424; -1; -1; -1; 33977159; 292428246; 879122413; 636091251; 705067670; 148689831; -1; -1; 688285490; -1; 32293821; -1; 495292076; -1; 639299593; -1; 391358644; 175702897; 410327193; -1; 353288458; 997735627; -1; -1; 783072954; -1; 228047159; 193999161; 66691671; 673194530; 332202828; 240635500; 526541435; 5161056; -1; 527474844; 994054230; -1; 532625965; 24681852; 261430795; 918132585; 321634760; 248059017; 279725403; 781197586; 601177302; 119662659; 544775063; -1; 388672745; -1; -1; 558535099; -1; 708159948; 312391251; 330730146; -1; 73535299; 2203456; 558252726; 918087972; 817655156; 727982758; 152133883; -1; 883834453; 891307428; 744130292; -1; -1; 108637964; -1; -1; -1; 888697085; -1; -1; 797703693; 367629641; 110048579; 107465735; 199931027; 273977884; 418156987; 698613312; 12743145; 14552552; 698607880; -1; -1; -1; -1; 706688664; 129881521; 278744941; 446357034; 39472234; 525405556; -1; 184460179; -1; 594732859; 768969278; -1; 224520832; -1; 157119772; 964523228; 209290688; 647074898; 376443261; -1; 865062326; 374484880; 542820997; -1; -1; 385188122; -1; 602504672; 725144745; -1; 175091878; 432507346; 370440745; 663288169; -1; 812567228; 456167144; 969744247; 681771572; -1; 941021221; 990960199; 324330354; -1; 719500109; 651275181; 562182298; -1; 776540101; 33282740; -1; 335610403; -1; 673587923; -1; 721049555; 508761144; 63667655; 484871097; 9754360; 541038674; 879899066; 109074822; 682656646; 764357562; 853061369; 496062436; -1; 581770996; 370138314; 217711289; 128334042; -1; 727163039; 585191582; 617703042; 50188458; 929881616; 74297044; 921620163; 127765073; -1; 678215017; -1; 194889121; 409064347; 330130579; 439331705; 80340636; -1; 667266764; 937150447; -1; 186967556; -1; -1; 552712543; 331311258; 146315680; 651954249; 144341638; 673190601; 951913996; 832081088; 258114468; 538966144; 434163285; 487319053; 256128229; 710661137; -1; 2598853; 981779953; 92613821; -1; -1; 903200256; 405292575; 951232048; -1; 772489447; -1; 710457526; 731501420; -1; 213351229; 70793344; 656460660; 108975162; 268202329; 25324895; 790280405; 262937795; 377469274; -1; 789778141; 49795243; -1; 20708664; -1; 610286278; 259205740; -1; -1; 591151365; 422035448; 666980349; 918835892; 459916470; 139333429; 467524737; -1; 359448495; 421089328; -1; 602305013; 945891233; 967750710; -1; 812628991; 951140566; 757184668; 255774246; -1; 29699062; 614264225; 855421904; 961312664; 611544827; 134254966; 492460180; 452051055; 966865643; -1; -1; 945319814; 486268200; 774169811; 939639866; -1; 91390492; -1; -1; 125235954; 131260051; 409999578; -1; 103429664; -1; -1; 82517011; 446766411; -1; 673405107; 14544100; 814269800; 427224830; 147976329; 350180833; -1; -1; -1; 419836353; 297345290; -1; 606375489; 238733936; 390243601; -1; 332098089; 323146366; 719430385; 728402916; 220415691; 19801599; 440673064; -1; 34916694; -1; 409248427; -1; 583690644; 201618167; 858604560; 219807040; 211699296; 653697981; 964330779; -1; 976857721; -1; 805727843; 159368559; 76026056; 132151071; -1; 672897758; 669491815; 28692107; 153322893; 955225586; -1; 124506319; 956615220; -1; -1; -1; 530955262; -1; 731272458; 283664029; 732244638; 165458799; 129765348; -1; -1; -1; 267871428; 952457577; -1; 452959123; 531482434; 587612156; 555019139; 550728719; 812085285; -1; 119912617; -1; 483900429; -1; 371695676; 134337567; 229669793; 904763368; 282560627; 156122431; 561212996; 444905954; 976034721; -1; -1; -1; 961827629; 585027087; 797815785; 96817387; -1; -1; 186083452; 607108920; 89961150; 123388544; 904942809; 263052765; 974676820; 342794454; 586150114; -1; -1; 378940534; 664590923; 942947750; 87651896; -1; 793869061; 87127768; 462677392; 244757919; -1; 46686387; -1; -1; 791559712; -1; -1; 723131462; 292785064; 291820923; 838223670; 695036800; 824194940; 934625812; 216338844; 284698489; 859292881; 775159808; 358058369; 643011744; 261001590; -1; -1; 192875993; 460015600; 602956568; -1; 305156712; 814973940; 740256908; 342539582; -1; -1; 129860608; 750447330; -1; -1; 862597389; 573486066; -1; -1; 462003503; 460898597; 14450676; 649845097; -1; -1; 367346943; 229523376; 603951412; 490273709; -1; -1; 402622298; 302596399; 350479883; 409458110; 987667385; -1; -1; 976249753; 22758314; -1; 688063244; -1; 679787970; 689655291; -1; 411233017; 966943137; 539289593; 298529758; 950204883; 835584659; 796770477; 669777717; 942984497; 851268368; 79055045; 141923091; 135417156; 434313387; 115678086; 283821415; 398582422; 58391327; 334059942; 984960551; 866333322; 96386711; 8756464; 103264060; 154000727; 28752769; -1; 512884488; -1; -1; 860232474; -1; -1; 965789759; 174238937; 578002169; 658433796; 436866551; 223660899; 951639522; -1; 776999511; -1; 776542137; 812037122; 732955606; 139890010; 505171823; 935154832; 245335150; 638378250; 722065971; 420054111; -1; -1; 941693163; -1; -1; 368483092; -1; -1; 136950504; 507640161; 477727401; -1; 213957892; -1; 915897951; -1; 907149427; -1; 22687798; 755419197; 324677013; 200709302; -1; 63295306; 347500513; 762104195; 501440581; -1; 505757574; -1; -1; 942635776; 847859554; -1; 610037153; 16112151; 299124679; 658349756; 291693506; 358762891; 635604701; 522013157; 276394917; 344413839; 169007563; 830631951; 148988308; 597057269; 576714559; 162103758; 128782907; -1; 492915628; 448982311; 296959451; 341559130; 703713040; 687250920; 931980629; 489408042; -1; 436267858; 680640604; 555533751; 143930131; 849372360; -1; 71966298; 998518107; 913739239; 654822197; -1; 321850054; -1; 832198860; 696849880; -1; 682032763; -1; 926327212; 472026821; 476106919; 956745690; -1; 989266779; 696176720; 435668207; 907321892; -1; 183968668; 196904866; 995142801; 62211656; -1; -1; -1; 931606597; 59849959; 632167448; -1; 866498759; 437101796; -1; 376945083; -1; 557279943; -1; 778095518; 432215982; -1; 259219226; 369722842; -1; -1; -1; 63069921; 936236682; 132621267; 846736667; -1; 864850756; 982615856; -1; 896252357; 25711670; 681072116; -1; 168029343; 425312075; 210609769; 518645265; 241348125; 154054598; 179245938; 88501044; 409489571; 341274326; -1; 228183519; 549674072; 873389716; 669615741; 874534760; 679140833; 985171732; 958673629; 90425737; -1; 450442940; 377360975; 769384065; -1; 983129947; -1; 225645310; 411092929; 627587888; 91905820; 993108425; 801278767; -1; -1; -1; 679569644; 935809726; -1; -1; -1; -1; 826954684; 611821246; -1; -1; 150820387; 14616140; -1; 546949734; 852259649; 457895328; 625299943; 381181662; 487335140; 868550989; -1; 46916954; -1; -1; 925006023; 480534695; 197108683; 468719315; -1; 299591936; -1; 452276798; 316948355; -1; 981498335; 308212441; 544662430; -1; 181152060; 399690804; 697842654; 641369614; -1; 393986602; 310823289; 928482314; 406992519; 935687081; -1; 963007628; 202556058; 962855620; -1; 912146348; -1; 818693939; -1; -1; 175900478; -1; -1; 258174108; 625774802; 414653490; 30500827; 230091564; 73218290; 737210308; 557991028; -1; 888817395; -1; 610668908; -1; 217727938; -1; -1; -1; 738183191; -1; -1; -1; 433823292; -1; 412990529; 488290748; 810206889; -1; 492140669; -1; 240863935; -1; -1; 377450861; 435531568; -1; -1; 223930908; 840720439; -1; 554590720; 431437810; 469675799; -1; 115558142; 317592935; -1; 693210377; -1; 54722108; 718908958; 341964402; -1; 863881117; 646726066; 313442521; 878598789; -1; 799721483; -1; 460021601; -1; -1; 353168105; -1; 707881385; 837759527; 963497765; 961291189; -1; 630902692; 50122141; 806338244; 785046091; 943341717; 548852555; -1; 141253561; -1; -1; 135049137; 621941609; 606704934; 176893829; 440340780; -1; 541270066; -1; -1; -1; 602244408; -1; 555145356; 794310275; 946574587; 961998311; -1; 735002204; 936521141; -1; 224148295; 847123964; 285806349; -1; -1; 575937106; -1; 716274273; 681817106; 667942694; 957078693; -1; -1; 236006629; 808548395; 912058991; 220867842; -1; 860504426; 38144349; 695063826; -1; -1; -1; 218872980; -1; 526619780; -1; 287196608; 299185574; -1; 743474309; 631370571; 538449224; -1; 617399150; 6569389; 132262004; 163903153; -1; -1; 441028681; 711130828; 586338280; 194292399; 923323160; -1; -1; 750652778; -1; 614775610; -1; 623382870; 778409869; 422759576; -1; 700873514; 168252171; 162138097; 975396858; 583912382; -1; -1; 29726082; -1; -1; 655133684; 677313057; -1; 698267631; 891326098; 443349206; 987969645; -1; 739856207; 949878130; 759096717; 506376300; 305201632; 646448889; 669401094; -1; 215927498; -1; -1; 81958772; 214174068; 12528641; -1; 692842546; 649856196; -1; 540270948; 667260831; 76104568; 424922153; -1; 614065395; 269832296; -1; 471509686; -1; -1; 407402342; -1; 896817580; 652817076; 337807247; 46381756; -1; -1; 869824864; 90440130; -1; 507492848; 164335975; 648204666; 743800522; -1; 238688938; -1; 924454961; 390283126; -1; 137073942; -1; 145765752; -1; 331262916; 799656062; 555516613; 505834151; 67545280; 246625299; 196602130; 815337201; 102720489; -1; 490836220; 69953812; 727971870; 604905501; 355402008; 438534187; -1; -1; -1; 20379991; -1; -1; -1; 512765276; -1; 169859866; 425781792; 39478919; 808978728; -1; 725346547; 37844493; 613572307; 162339908; 392086069; 636187924; 886772381; 784064144; 896053730; 98362068; -1; -1; 393131368; 141026198; 953243112; 850956772; 767312129; 674875824; -1; 423982365; -1; 548637685; -1; -1; 377495185; 879801627; -1; -1; -1; 376613118; 628367504; -1; -1; 289870332; -1; -1; 209021265; 690898093; -1; 890863096; -1; -1; -1; -1; -1; 185439399; 90496575; 381140456; 321889496; 480470242; 348111710; 206716141; -1; -1; 325596855; -1; 342192610; 223943935; 244878971; -1; 513339203; 554865455; -1; 147405629; 778508962; 785365485; -1; 942798049; -1; 676741554; 558375690; -1; -1; 135034237; -1; 370190742; -1; 206340781; 422862333; 965490124; -1; -1; -1; 115494421; -1; -1; -1; -1; 800656426; 785105246; 80645201; -1; 722188907; 562217454; 39326066; 333918676; -1; 403863192; 872601042; 359296673; 497702617; 209842818; 67609378; 665182167; -1; 749356410; 102095609; 465323889; -1; -1; 576373715; 282458188; 115028248; -1; 299308706; 314078070; 606407505; -1; 910959165; 913718539; -1; -1; 625028683; 41894384; 165616893; 316292969; -1; 710474229; 91962426; -1; -1; 352017175; 233683409; 703066660; 589709860; 668830673; 393962215; 537550853; 415753419; 405865499; 745324255; 534889899; -1; -1; -1; 266479104; -1; -1; -1; -1; 55271123; 115261704; 891703490; 33587609; 796562517; 703010016; -1; 535526761; 134028640; -1; 941002505; -1; 582586672; 302951262; -1; 944383947; 330208099; 875195293; -1; -1; 573574826; -1; -1; 345560471; 520688896; -1; 725020206; 697859064; -1; 248706740; 948750506; -1; 494271050; -1; -1; 550674391; 566313046; -1; 901291633; 997660345; 459081633; 917076413; -1; 896817235; 367983527; 538882087; -1; 742335463; -1; -1; 288617912; 523886964; -1; -1; 74755199; 395183072; -1; 52001610; 780902207; 249401034; 978259482; -1; 863245975; 783766702; -1; -1; 582632382; 521432608; 489180370; 624153302; 679647211; 478068325; -1; 69637645; 863386592; -1; 615972015; 493211243; 727683929; 879037012; 876962250; 49767931; 288189862; 618968613; 724315380; 992739240; 448588287; 652235351; 583874574; -1; 542454209; 814166079; -1; -1; 290340764; -1; -1; -1; 908746972; 900285774; -1; 514596086; 567633183; 504750160; 448257549; -1; 515984626; 807835681; 758674702; 465504632; -1; 932442942; 411985446; 400590013; -1; 82791948; -1; 187011339; 847089508; 570103468; -1; 509914430; 451423029; 660303058; 851753789; 267944190; 766651131; 895664860; -1; 617232259; -1; 412840380; 830380722; 21674036; 518529723; 693722437; 520699712; -1; 872435906; 629478416; 458957980; 62977893; 485827729; 612791745; 129810834; -1; 955116879; 665330665; 69772136; 863385618; 576422343; -1; -1; -1; 62043794; 874667448; 47309278; -1; -1; -1; -1; -1; 755639151; -1; 409065275; 29545889; 582997463; -1; 906527116; -1; 568873624; 947395145; 369780100; -1; -1; 962355496; 401147419; -1; 655873636; -1; -1; 807358631; -1; 489525818; 931107010; -1; -1; 214776040; 965403349; 946111061; 774759483; 799688369; -1; 963716522; -1; -1; -1; 115788011; 209926240; 886674515; -1; 96387221; 628513106; -1; 783236881; 651565469; -1; 165942244; -1; 896188766; 974635557; 69832510; 668397938; 406374; 126167358; 32122984; 466068578; -1; -1; 170173030; 815990321; -1; -1; 385619776; -1; 156612925; 568267569; 67641337; -1; 41685981; -1; 752697731; 581149884; 307893249; 331346326; 904667608; -1; 291678628; -1; -1; -1; 614884851; 227176572; 115920288; 479168675; 978688868; 997252673; 931778619; -1; 10738461; 584943256; -1; 169877667; 575193749; -1; -1; -1; -1; 150642211; 246684665; 593539206; -1; 45177390; 166858312; 662852736; 122779551; 211358048; -1; 351881298; -1; 55847607; 449049257; 156879718; -1; 128386553; 371735176; 648968973; 826698502; 249073375; 980751733; 392097145; 642244450; 708976185; 277980722; 957939392; -1; 478410202; -1; -1; -1; 551424894; 126670513; -1; 594641678; -1; 847129248; 471138685; -1; 402216080; 314856273; 726610462; 592498832; -1; 804106572; 930168881; 282203839; -1; 763359282; -1; 498733751; -1; 328590830; 25351271; -1; -1; -1; 200886942; -1; 214130860; -1; 392488632; 593441182; 413433260; 213225016; -1; 935701335; 602000655; 550057788; 286749238; 536211206; 888649110; 394022726; 646543400; -1; 755871547; 395794742; 329199242; 240789234; -1; 980851476; 892282954; -1; 290261643; -1; 525542593; 266574619; 424094198; -1; -1; 43936048; 293823569; 779830206; -1; -1; -1; 778534405; 241555463; 351010167; -1; -1; 850423350; 858246322; -1; -1; 723355172; 696860260; -1; 191982329; -1; 927835737; -1; 596343051; -1; -1; 694671300; 441472571; 647898453; 325251523; 217033871; -1; 691129000; 511008883; -1; 697537189; 731577126; -1; -1; 837344829; 624542221; -1; -1; 978034476; -1; 889812755; 105852784; 213647858; 456043904; 732439699; 724205069; 355475047; -1; 859650265; 761319117; 60796914; 38432511; -1; -1; -1; 645379239; -1; -1; 831432388; 668043549; 352527874; 584532341; -1; -1; 485657626; -1; 409810143; 406937554; -1; 570324705; 314100633; -1; 541540044; 55842247; 997842736; 980168829; 648277901; 49631041; 38077433; 625431901; 3984080; 143525752; 169914298; 392856718; -1; 698977396; 300432582; 417317474; 844244608; -1; 577904472; 682329649; -1; 740232774; 801921531; -1; -1; 854522812; 626661383; 398182822; 454676998; 721886219; 715644791; -1; -1; -1; 738402542; 828021305; 417468107; 481629196; 64217168; -1; 71279352; 698446999; -1; 449969634; 572679791; -1; -1; 513311061; 571085514; 119217783; 173112434; 637847737; 65445520; -1; 166683512; 956186074; -1; -1; -1; 572690083; 961479287; 877578400; -1; 183160842; 391284462; 886302002; 412274883; 437918010; 5630323; 559218516; 704977933; 369250421; 22769335; 221090043; -1; -1; 367999542; 165632310; 575855261; 517801632; 22734165; -1; 632665353; 482249662; 531447638; -1; -1; 337782494; 645142216; -1; 560956570; 771268484; 832111484; -1; -1; 457801992; -1; 619660534; -1; 298180609; 820796224; 642288473; -1; 398159248; -1; -1; 191189758; 752610215; 594641599; 355547488; -1; -1; -1; -1; -1; -1; 377493311; -1; 958590771; 606800127; 215039319; 710744681; 824578369; 75013107; -1; 40190855; 978516291; 531212422; 875235671; -1; 249597924; -1; 647842724; -1; -1; -1; 983643280; -1; -1; 335175453; 106706690; 22395540; -1; -1; 440573456; 889536660; 247551134; -1; 368669588; 375081580; 233667011; -1; -1; 807389602; 327837640; 583161670; 605012961; 983512961; -1; 623235549; 681287549; 667645664; -1; -1; 202886265; -1; 118132230; -1; 256298405; -1; 49088228; 17276220; -1; 540136440; -1; 189518425; -1; 75957257; 167077019; 701902599; 805164352; -1; 290909232; 520304923; -1; 726283233; 155680788; -1; -1; 623885562; 20321917; 238199708; -1; -1; -1; 159042150; 854265491; -1; -1; -1; -1; 649669501; -1; 50974759; 507175497; 109702167; 44936084; 545617937; 319701343; -1; -1; 601890111; -1; 674379199; 17698045; -1; -1; 516437772; -1; -1; 840414222; -1; 10446329; 986875299; 115976764; 480294427; 798840083; 679003051; 992416528; 135372623; 820431456; 792608612; 769746556; 874918591; 740226005; 683142052; 92880084; 199279385; 125454774; -1; 899969206; -1; -1; 127743546; -1; 606551420; 493204243; -1; 580549810; 149958078; -1; -1; 255507881; 425496035; -1; -1; -1; 232714914; 137922224; -1; -1; 368388174; 239001042; 187084211; -1; -1; 590124938; 550164040; 692202468; -1; 40872029; 655952432; 409092799; -1; -1; -1; 592623869; 722047567; -1; 7755564; 315363890; 997583078; 104770471; -1; -1; 182498281; -1; 116164249; 591419066; 768452160; 218417658; 796143782; 695148784; 640953560; 216866943; -1; -1; -1; 485075303; 53907584; -1; 463584631; 923472668; -1; 162509777; 478776763; -1; 836599708; -1; 1152525; 440768136; -1; -1; 439643326; 213968076; -1; 176050885; 961434486; 974458760; -1; 746407197; -1; 164844369; -1; -1; -1; 839983349; 643328155; 286095821; -1; -1; -1; -1; -1; 716404623; 180923936; 929938046; 816415052; -1; 52527140; 358622192; 248381127; -1; -1; 814266046; 514427995; -1; 747955741; 455676366; 158491757; 632342098; 781245235; 739701204; -1; 86364591; 978735068; 336804701; 770134251; 246920051; 244065027; 897108560; -1; 195065501; 776168707; 869643362; 571028443; 643851838; 65335709; 421848564; -1; 498364485; -1; 557044958; 820133356; -1; 798575269; 353358501; 703951500; -1; 771748183; 881175838; -1; 624830798; 176235151; 591616692; 932686208; -1; -1; 341084608; -1; -1; 386401657; 656446273; -1; -1; 517984166; -1; -1; -1; 919764917; 458942667; -1; -1; 826056954; 259187824; -1; -1; -1; 593300127; 672290824; 448032019; 958023668; -1; -1; -1; -1; 77924415; -1; -1; 103513346; 517104160; -1; 929929214; 262338233; 384037563; -1; 485389895; 19046865; 362749066; 909914762; -1; -1; 639316109; -1; 526578399; -1; 297987051; 637935698; 479481405; -1; 583688155; 424133555; -1; -1; -1; 845746747; -1; 3671378; 830145583; 999542722; 719036145; 894592465; 541853219; 980876752; 497514503; 489046789; 255649125; 52528138; 971999057; 680076555; 79980375; 226968260; -1; 939771197; 58369549; -1; -1; 261213625; 210227757; 46361868; 410365481; 4826495; 674659901; 553093725; 539108088; 21118189; 213785570; 91694428; -1; 279576609; 972255625; 539661215; 406519067; 667268564; 370855605; 782941273; 992393062; -1; 349184373; -1; 829341377; 812458862; -1; -1; 420520275; -1; 606652287; 578326351; 504394198; 787946450; 696248035; 34564769; 915619896; -1; 457951311; -1; 313877821; 564045799; 798945006; 21656143; -1; -1; 67190327; -1; 113841559; -1; -1; 27636209; 267965288; 481601660; -1; 690328890; -1; 858473126; 593095206; -1; -1; 946569027; -1; 191606680; 801724472; -1; -1; 281717559; -1; 123297532; 475215299; 919732265; -1; 632202077; 334687151; 205923700; 252077338; -1; -1; 765592488; -1; 963117305; 187192845; 914352571; -1; 453025025; 474052908; 430411119; 888228715; 97680740; 337944385; 581578193; -1; 243484711; 293672040; 289867850; 154859796; 849775479; 266383932; 138712205; 82912933; -1; -1; 544372382; 326969376; 893320978; 973394123; -1; -1; 143067237; 598456317; -1; 864735867; 69548724; 17511166; 729648781; 706566362; 854015362; 648524443; 743285351; 301071243; 756542879; 709836150; 263603820; 297030337; 105986956; -1; 548070987; -1; 70597768; 979600172; 100256722; -1; 260969148; 763056493; 467817093; -1; -1; 355303347; 4924691; 569167524; 800304005; -1; 12551708; 203214670; 152881786; 11747887; -1; 210869199; 369634381; -1; 340023750; -1; -1; 921840784; -1; -1; -1; 321242730; 491861285; -1; -1; 487574771; -1; 578915354; -1; -1; 480731858; -1; 971720246; -1; 320560261; 456257125; 185068771; 338963727; -1; 980430490; 977697565; 465850910; 595274308; -1; 232543976; 964157636; -1; 740180504; 153149388; -1; 411128260; 743856958; 2529426; 598099161; -1; 735915892; 485277839; 397326316; 34209385; -1; 69324318; 788535342; 635648689; 462014497; -1; 998311189; 309771696; -1; 284464839; -1; 418176945; -1; -1; 650457861; 4785195; 231670575; -1; 164795897; 496024909; -1; -1; 512064474; -1; 812864058; 511999651; 859338061; -1; 419276642; 35006139; -1; 767456384; 876668779; 632124775; 536414606; 291281737; 135968565; -1; 401769725; -1; 800726322; -1; 961994170; 590299724; 813199361; 86323261; 400100378; 769170301; 444778738; -1; 721735323; 987237551; 461739424; 587770500; 913969504; 930534032; -1; 363630546; 5329407; 358131785; -1; 369487087; 382892348; 730703378; -1; 496573839; -1; 329376229; 957053265; -1; 516451591; -1; 66486305; 424600845; -1; 837492503; -1; -1; -1; 901938824; -1; -1; 232602246; 713463718; -1; 347178899; -1; 936245071; 542739624; -1; -1; 832987407; 822651210; 200760448; 97504528; 603705945; 310696117; 293205089; -1; 788774417; 962155378; 25665316; 438207176; 461059147; 459631020; 414568468; 291060452; 779927424; 149044942; 389229357; -1; 95655935; 97661436; 11401466; 311228682; 582818998; -1; 914536468; 710408964; 665617796; -1; 796413889; -1; -1; -1; -1; -1; 222053112; 56191021; 657337061; 155170647; -1; 555888776; -1; 349919451; -1; -1; -1; 846648291; 527203147; 171502391; -1; -1; -1; 981994849; 648635872; 774377082; 758935422; -1; -1; 717287472; 80962191; 148870766; -1; 957922494; 933154587; 691920930; -1; 526303033; 155370184; 643672297; 816656364; 361721220; 416660374; -1; 537209748; 277521245; 387543759; -1; 618780357; -1; 858443741; -1; -1; 941586586; 984086790; 500040635; 121626474; 943803925; 494372832; 606553600; 643186710; 358496744; 537393109; 53642620; 830169059; 413181311; 265292898; 13737213; 876940593; -1; -1; 606219420; 994491733; 342153864; 878995122; -1; -1; 583558285; 395817256; 389015259; 69903445; 482495224; 61817310; 412010481; 87827161; 632095631; -1; 906201443; 98894816; 805104199; 369425429; -1; 411976577; 935296675; -1; 325663604; -1; 856809646; -1; -1; 152301639; 339063026; -1; 817816002; -1; 432417735; 814552682; 919222614; -1; -1; 769822359; -1; -1; 151125735; 798705182; 259290996; -1; 487485373; 271381842; -1; 924135635; 14676317; 368330197; 530733709; 33252059; -1; -1; 697742967; 966035202; 233919543; -1; 900535532; -1; 888700006; 163077949; 98239433; -1; 161641208; 931573619; 812590943; 152014989; 136003177; 300192124; 201978939; 58646120; -1; -1; -1; 417992739; 934821972; 633103260; 356769451; -1; -1; -1; 626214793; 347857121; 723414711; 612686342; 181949301; 164197361; -1; 665750813; 768155847; 394190227; 519850214; 302817270; 285879128; 329674479; -1; 338633884; -1; 114758059; 752469275; 868448541; 187794746; 288041040; 158780411; -1; -1; 421585894; 177651480; 642006976; -1; 344487715; 577596757; 55209536; 75005063; 555856688; 925745188; -1; -1; 908150349; 334484019; -1; 548714228; 232652346; 90644776; 918786526; 968304942; 896151933; 510624432; 141186676; -1; -1; -1; -1; 245546965; 102634946; -1; 976794384; 708897561; -1; 189274338; 65228509; 902704813; -1; -1; 783898538; -1; 592447739; -1; 46063220; -1; 203080225; -1; 918801641; 889454583; 576811591; 876109400; 588639128; 589334838; 845594041; -1; 520457608; 573965895; 154704735; -1; 680669038; -1; 84812937; 574894771; 871288992; 204994042; -1; 592524903; -1; 784181062; 978079907; 400371539; -1; -1; -1; 15369797; -1; 709093618; 88682284; -1; 608282852; 730991243; 403490010; 705798124; 688092175; 359979962; 862473925; 967624762; -1; 877382349; 855032509; 269180221; 19022802; 169819747; 216689041; 293051602; 332335505; 720663688; 686331683; -1; -1; 101399294; -1; 847081642; 824020807; -1; -1; 667176673; 807925629; 558195193; 938769168; 592366655; 170575215; -1; -1; 787758285; 510532373; 799212980; 42276858; 876420177; 613048030; 824636474; 462791196; -1; 402009756; 648688805; 930688928; -1; -1; 970182669; -1; 906225001; -1; 919547453; -1; -1; -1; 9910181; 912220225; 929923950; 795599735; 779625367; 501620216; 222349055; 864750954; 902724767; 468569065; 108699091; 958225308; 435179319; -1; -1; 247502455; 445304920; -1; 318383669; 778065085; -1; 400408465; 80234484; 536957304; 156840584; -1; 271748590; 904406256; 272151835; 70834293; 493945368; -1; 310940844; 328754903; 712374652; 403982669; -1; 213892006; -1; 475152941; 39217140; 220517805; -1; 527582517; 581004440; 939121443; -1; 457415793; -1; -1; 542920749; 679266623; 17107221; -1; -1; 148098300; 304438434; 264481040; -1; 6544073; 822222684; 367759970; -1; 677727550; 895876892; -1; 268703600; 471508320; -1; -1; 948862871; 552679655; 222114757; -1; -1; -1; 671267544; 895788946; 231346502; -1; 379088855; -1; 950666240; -1; 918700710; 155360105; 935693287; -1; -1; -1; 228842115; 79276932; 497065951; 467029472; 677544661; 412393365; 381159147; 233569204; -1; -1; 513280773; 588461658; 606528145; 790189768; 848116902; -1; 768061219; 381921643; 365818046; -1; 684877212; -1; -1; -1; 762042432; 986771134; 236439998; -1; 895109436; 516163140; 323270274; 291385271; 832484529; 870604626; -1; 7569055; 399694719; 596704714; 959583161; 86392125; 656095723; 505182837; 781947063; 114979292; 437654562; 953551611; -1; -1; 762220550; -1; 429764145; 598093445; 869505900; 770514738; 654750927; 475243409; -1; 914716049; 674758963; 999959503; -1; 144563309; 808938760; 704300217; 889911184; -1; 570360804; 366236124; 237880315; 887645550; 802038012; 820169436; 533917451; 522335254; 127825665; -1; -1; 295516144; 69765971; 688346703; 196132091; -1; 517786627; 815932062; 238304500; 373300975; 504482477; 223520561; -1; 431053828; 550951189; 518531858; -1; 200166182; 796598628; -1; 190305674; -1; 881218791; 353589528; -1; 62295487; -1; 565561570; 840304016; -1; 16619156; 81913788; -1; 751133541; 692409497; 660423219; -1; 765654396; 612793130; -1; 964123115; 350015424; 104524966; 130613199; 671853989; 822543679; 249095478; 1980798; 745435549; 320237880; 976688672; 678509189; 875177984; 898702622; -1; 67791369; 608820925; 954209782; 467880424; 176427891; 124792351; 357644014; -1; 103397105; 1110344; 359512844; 250495573; 438217136; -1; 5999458; 737535031; 153663683; 425932254; 173971939; -1; 392091945; 762682037; 387588958; 500887154; 605319883; 833420713; 990789389; 402051117; -1; 980897712; 19577155; 416624173; -1; 316025557; 615786890; 337754391; 625595954; -1; -1; 850846188; -1; 614988047; -1; 962846135; -1; 348013296; 271904058; 884265924; 885467624; 152878380; 626160255; 892205789; 256469747; 709981601; -1; -1; 538387226; 657642454; 727415892; 805810694; 72072474; 190685048; -1; 457868104; 900428169; 545514418; -1; -1; 168639802; 979160911; -1; -1; 456444034; 36855978; 448661317; 957124677; 30447182; -1; 138581871; -1; 290506411; 211966848; -1; 430279226; -1; -1; -1; 536598074; 412659204; 462382343; 436048480; 12384328; 289487371; 941598650; -1; 104948711; 762455995; -1; 110264854; -1; 111455111; -1; -1; 646369572; 588143358; 727187020; -1; 816043667; 698059003; -1; 288931725; -1; -1; 875656921; 498605813; 513992840; -1; 875961069; 682995390; 353086902; 38138945; 547852267; 835684912; 951122685; 936542731; -1; 177421338; -1; 483106116; 494930583; 139248372; 974545052; -1; 274488204; -1; 276937462; -1; 913700403; 607230408; 987035503; 345146145; -1; 160197974; 541902916; 778122645; -1; 881378397; 522299066; 366714685; -1; 444922173; -1; 216254941; 343697218; 626289530; 435263112; -1; -1; 231913787; 621363187; 861600607; 402126817; 996431534; 76324132; 343854128; 236624236; -1; 416148568; 286487557; -1; -1; 315923998; 784346040; -1; 273246467; 111824144; -1; 197857146; 537315412; -1; -1; -1; 576826566; -1; -1; 861466614; 271227720; -1; -1; -1; 586908860; 283723960; -1; 890178042; 987356036; 878711174; -1; 526261008; -1; -1; 261829567; -1; 144038676; 648480096; 542809753; 538343449; 36757219; 392411114; -1; 467890844; 747982663; 653263551; 469720200; 488742147; 794561306; -1; 320166587; 293756922; 52827399; 819729206; 12182822; 14196364; 168559736; 322473732; 535327552; -1; 521444875; -1; 170669354; 828040498; 733711848; 941299153; 983745786; 432544160; 590843597; -1; 72916302; 920468588; 890626000; 335007419; -1; -1; 829011641; 865002794; -1; -1; 551380748; -1; 209472356; 188124546; 485410041; 213868799; -1; -1; -1; 200610862; 190053360; 818613214; -1; 319366741; -1; 655994717; -1; 592247098; 977951790; -1; 797813954; -1; -1; -1; 863461744; 991082309; 217993920; 273968876; 49862175; -1; 703307873; 409517805; 864664345; 954430176; 245835465; -1; -1; 499001866; 224253407; -1; 633322430; 277922764; 505754971; 950451967; -1; -1; 593602945; 691371943; 695566827; 863358958; 567246768; 557693248; -1; 862093247; -1; -1; -1; -1; 103579670; -1; 433710894; 124771497; 894640548; 572730003; 511219112; 776937289; 46451530; -1; 368640355; 480778152; 88586945; 943933924; 887055144; 86934809; 39688448; -1; 146502881; 819191969; 358176964; -1; 353781622; 516148789; 200772840; -1; 198922799; 933632002; 473804973; 747689688; -1; 340207615; -1; 608979201; -1; 695289911; 60568666; -1; -1; -1; 177533286; -1; 773375916; 656288577; -1; 161385763; 586918416; -1; 809201670; -1; 794212563; 345675832; 567341837; -1; 878417660; 759042124; 230067599; 779471224; -1; 198002316; 356029194; -1; -1; -1; 633612471; 107567486; 262443878; 713472327; 809359241; 102091023; 913414186; 825030733; 700718192; -1; 131785876; -1; 177390350; 641768174; 831984328; 553807665; 924072261; 962717276; 602508363; 444769264; -1; 935738622; 879346263; 509207664; 263768652; 9015526; -1; 651204947; -1; 440531283; -1; 716544051; 215200687; 455438784; -1; 305071097; 642119447; 313369837; -1; 711113002; 359860711; 728793145; 855305202; 342056386; 277875025; 33406525; -1; 663649136; 819747285; 437228537; 359995542; -1; 409177057; -1; -1; 830261194; -1; -1; 645162794; -1; 401702154; 708847169; 213909180; 824502195; 93512868; 479340089; -1; 737621065; -1; 474515549; 915962483; -1; 988935849; 932342544; -1; 270303142; -1; 35731623; 847645579; 230440103; 213864900; -1; 276276919; -1; -1; -1; 553285839; 272222338; 599762615; 904616828; 430050230; -1; -1; 831072831; 813902986; -1; -1; -1; 984876727; 708801883; 798766949; 925756182; -1; -1; 928858799; 132575885; 192895404; 643385674; 231207453; 264328484; 387675044; 826973219; 479895293; 560735523; -1; 943217926; 202778912; -1; -1; 833538803; 750637077; 698069651; 929072951; -1; 253062236; 975261246; -1; 48208155; -1; 997635245; 24710172; -1; 409822840; -1; 327128716; 504963338; 741549571; 123465881; 439658798; 39094687; 915318264; 183407879; -1; 550670115; 731158400; 176953335; 980653112; 504385294; -1; 436718044; -1; -1; 672761284; 663318136; -1; -1; 779380111; 939725106; 641953089; 16848772; -1; 985850608; 502768955; 752338464; 394878374; 401965475; 357354566; 883822364; -1; 230278641; -1; -1; 930294658; 760393934; 608454599; -1; 354455153; 913818416; 154983579; 830448642; 166213311; 331222109; 611440134; -1; 326398057; 124579312; 895995819; 84923190; 67237764; -1; -1; 637037687; 742503479; -1; 469642936; -1; -1; 201658315; 736655470; -1; 360322568; 709612455; 205054064; -1; 244766986; -1; -1; -1; -1; -1; 313286357; 998624706; 735320893; 248119572; 548006094; 22390526; 180754398; -1; -1; 934272569; -1; -1; 854268540; 453415991; -1; 141932358; 785931121; -1; 399483405; 239966919; -1; 21841060; 185951506; -1; 78680096; -1; 976821935; 102977962; 745487541; 93014774; -1; 391844021; -1; 412536174; 346078650; -1; 373836282; -1; -1; 151417254; 637511743; -1; 527635461; 706051036; -1; 258008310; 896499876; -1; 244307649; -1; 747547822; 151756361; 839002328; -1; -1; -1; -1; 243555825; -1; 539209380; 266519995; 799416318; 403046246; 834706689; 911722801; 420801399; 75563816; 938567000; -1; 270175232; -1; 738561308; 300660359; 749027559; 287123140; -1; 571926791; 432372421; 414217403; 714119462; 529951718; 567950898; 961189774; 434952049; 436159538; -1; -1; -1; 587630218; 393429347; -1; 816153802; 301839417; -1; 61837100; -1; 784517557; 265760393; 44960006; 581332336; 203957978; 877048767; -1; 242169692; 488877690; 384257978; 619334295; 166604096; 982121432; 272881016; -1; 978617851; 363021301; 41307519; 628269267; -1; 875552386; -1; 504668198; -1; 303018687; -1; 118649790; 966612062; 952489286; 123272138; -1; -1; 423495807; 451897148; 521716475; 847168860; 983808764; 665112001; -1; 799273588; 528336016; -1; -1; 981232142; -1; -1; 643574842; 637852461; 312020633; 717974283; -1; 189735193; 795009027; 876581603; -1; 789116964; 504711047; 671331268; 937409254; 476652550; 989420510; 718140258; 207443153; 139004388; -1; 514672005; 499896471; -1; -1; -1; 452934479; 785910949; -1; 293577159; 489555597; 770167575; -1; 390884875; 769696709; 713412159; 263094785; 76702244; -1; 164059739; 373950434; -1; 270130421; 202811527; 749906888; 728119410; 505097288; 782209665; 225161400; 11517333; 810965746; 72088021; -1; 987784414; 650868327; 426004877; 630917516; 10276560; 871591148; 183131148; 305543430; -1; 125206324; 741756775; 920476570; -1; 466013390; 830782261; -1; 91344163; 823960122; -1; -1; 643956806; 110229522; 733207022; 529617348; 960746829; 26570816; 634751851; 596903157; -1; 642997969; -1; 952160911; -1; -1; -1; 760296932; 725755950; 142255819; -1; -1; 948906381; 272359378; 569122360; 238131962; -1; 358230838; 522174332; -1; 90361634; -1; 276075942; -1; 500519772; 564884752; -1; 321870976; 127323286; 421397338; 379380434; 182001145; 110902279; 57384680; 566274189; -1; 70752436; 955386207; -1; 442216455; 493079255; 306988509; -1; 19977752; 336260415; -1; -1; 978873903; -1; -1; 324526590; 125863928; -1; 393360460; 957895007; -1; 433206991; 776718899; 789314239; -1; 640667724; -1; -1; -1; -1; 880555984; 877172317; 673884087; 625361280; -1; -1; -1; 790622530; 805440395; 773987576; 758447160; -1; 825295147; 242875550; 366568452; 518173052; 974274737; 291731455; 922015407; 732452456; -1; -1; 510856358; 382122310; 934260566; 945507529; 798230863; 778960723; 335937705; 578592083; 375343434; 169691964; 330975608; 452622278; -1; 412203392; 766523218; 958946217; -1; 108734827; 290390551; 293083104; 994971262; 63788691; -1; 414809423; 557225582; -1; -1; -1; 524229713; 652744152; 832603905; 901274775; 374181492; -1; -1; 421305069; -1; 390968469; 286792041; -1; 371403647; 197494178; -1; 798019672; 756792254; -1; 716206769; 462822237; 851289576; -1; 680106027; 945647976; 936849197; 975653477; 362248389; 443175315; -1; 129071418; 440812225; 601541996; -1; -1; 913329575; 468719262; 906930513; -1; 500540878; 647423831; 908344899; 10293133; 165509062; -1; 866595539; -1; 571430300; 277244103; 246600202; 332744937; 698107485; 579630139; 413190887; 275054226; 609601813; -1; 518188716; -1; 951324974; 747470088; 940481778; 208307882; 253564757; -1; -1; 376214594; -1; 663560880; 852618766; 115664227; 908350051; -1; 581251471; -1; 317268535; 771974146; 772958585; 49859097; 797316183; -1; -1; 280882568; 100086586; 753216237; -1; -1; 353730649; -1; 598165289; 582407528; 936556497; 837947385; -1; 553213224; 105228913; 197480677; -1; -1; 121431794; -1; -1; -1; -1; 34584165; 123856906; 444040968; 260812181; -1; -1; -1; 530923539; 202980240; 782654923; 489459218; -1; 477347882; -1; 65360141; 888348087; 697246669; 565715958; -1; 417601210; -1; 346830993; 829493374; -1; 667703886; 575020849; 230485110; -1; -1; -1; 864666477; -1; 687972851; 268399942; 558447243; -1; -1; 757425124; -1; 494192574; 216445945; 875960823; 320771451; 581235180; -1; -1; -1; 606265936; 945631623; 322648485; 521623723; 584590249; 19549729; 656775055; 225623444; 490299107; 9679274; 213367270; 755498374; 684898165; 985286624; -1; 199461604; 606102510; 685684262; 566295544; -1; -1; 316693787; 378994257; 733331184; 991984390; 657625448; 218895689; 757025528; -1; 961794315; 910332840; 847853847; 889287702; -1; 694411994; 96110143; 944832169; 989666438; 77038921; 359759657; 463466930; 106380362; -1; 905997191; 943861961; 595368727; 485506137; 104482613; -1; 976251733; -1; 898559212; -1; 372556134; 87812834; 745074172; 156092049; 836333493; -1; 766997114; 90617135; 552373407; 725449523; -1; -1; 52035359; 404480502; -1; 736717278; -1; 363080735; 763549764; 69268395; 965282458; 254224198; -1; 409346957; 921841197; 905104150; -1; 241252713; 404139547; 956377455; 704906760; 555905199; 86611051; 854416256; -1; -1; 691907082; -1; -1; 910390020; -1; 864392985; 225386761; -1; -1; -1; -1; 981232921; -1; 479658414; 987943360; 379618615; 964266906; -1; 220535900; 64849968; -1; 536287019; 510384180; 431902250; 203616423; 485115545; 366794339; 346414484; 697779277; 856685151; 469878107; -1; 610169327; 334277299; 438787438; 475418631; 588128014; 896100301; -1; 175539713; 109980776; 485523142; -1; 70922487; 710351015; 104497641; 441926358; -1; -1; -1; -1; 900391605; 717922138; 504459122; 798045176; -1; 657594034; 238452377; 105649017; -1; 386131465; -1; -1; 273016293; 155414057; 599126715; 276739108; 536928938; 755664826; -1; 97178796; -1; -1; -1; 490803732; 716187799; -1; -1; 801763867; -1; -1; 7906354; -1; 516754390; 454138364; -1; 874636972; -1; 191915188; 993434246; 883759168; 724097001; 527693422; -1; -1; 325145552; 36818365; 377480235; -1; -1; 30201300; 883319178; 346759812; 563929901; 144909979; -1; 152306403; 972462497; 114678997; 389192197; 710620464; -1; 833708494; -1; 873301240; 66791077; 156320863; 787366177; 628175727; 355850558; 268783140; -1; 657979006; -1; -1; 173981782; 925421537; 926104275; -1; 521249511; -1; 57437886; -1; 412980619; 874206920; -1; 677185545; -1; 998718643; 50349548; 485820992; -1; 748149901; 489659807; 186574786; -1; 493347568; 435915140; 575259986; -1; 836532953; 154240582; -1; 446260467; -1; 419957328; -1; 260224810; -1; 968770576; 399247511; 891967459; 134003705; 935705355; -1; 517381996; 335737209; 670829246; -1; 838506443; -1; -1; 604281640; 35199357; -1; 352057410; 908339253; 985829128; 332512835; -1; 4245904; 317666761; 933570528; 2248086; 341189455; -1; 698663614; 522041436; 60895584; -1; 642598893; 101959463; -1; -1; 454486407; 759077860; 693805981; 618696331; 978901632; 879054317; -1; 165344681; 183779099; 864262562; -1; 581066231; -1; 488644912; 191151792; 387694400; 584256795; 822071043; 647455779; 928507938; 444179569; 860309852; -1; 537455482; 394257758; -1; 716378222; -1; 906905208; 148232692; -1; 507860965; 818554501; -1; 186341836; 468179603; -1; -1; -1; 9775857; 270460135; -1; 932254872; 148626004; 109909737; 66702526; 15638616; 716662873; 847158405; 334360869; 588401079; 571779425; -1; -1; 413116252; 108279878; 273997434; -1; -1; 554125652; 398136865; 402914596; 448515681; 769552312; -1; -1; 634786754; -1; 835964886; -1; -1; 263318826; -1; 366279320; 463971732; 580608242; 26400290; 317825699; 46700447; 924498626; -1; -1; 152294823; 62266689; 253259239; 343859960; 904607915; 635941220; 530402019; -1; -1; 146370217; 894229802; 613016795; 534766176; 348918501; 947537429; -1; 500023408; -1; 766623112; -1; 542333982; 927908641; -1; 27755534; 456192968; 404257581; 721079712; -1; -1; -1; 789874512; 143934292; 420443354; 251672510; -1; 211503911; -1; 690530663; -1; -1; 151755653; 801744059; 357178734; 6738604; 561600728; 797711814; -1; -1; -1; 520420310; 423317070; 582069016; 602803094; 909022104; -1; 859215038; 902550062; 79019288; -1; 131745557; 7008651; 31652823; 935234538; 201137670; -1; -1; 404875738; 779647829; 445497457; -1; 237102899; 882532212; 32359312; 364426335; 666776925; 800566797; -1; -1; 816652816; 256614225; 674654108; 538710215; 530613051; 186752098; -1; -1; 709335144; 337578023; 580673777; -1; -1; 368715271; 609295757; -1; -1; -1; 863274657; 772649188; 641803894; -1; -1; 21778516; -1; 152815744; 550349745; 478367691; 496513783; 685899601; 441620801; 840834498; 181867523; -1; 797471840; 394775575; 53253376; 246079347; 419135451; 925425649; -1; -1; 915681202; 683159034; 480746571; 576670094; -1; -1; 551619623; 671149518; -1; -1; 343984531; 392065762; 359653398; -1; 754181110; 774695464; 875187046; 285214718; 60425427; -1; 507443553; 347491736; 420938853; 198417005; 229752631; -1; -1; -1; 56417694; 796805922; 281397931; -1; 240187044; 128123951; 397129559; 966833035; -1; -1; 865181205; 912866178; -1; 555040039; 958891330; 428549647; -1; 940848086; -1; -1; -1; 608764964; 565493733; 332525468; 984874043; 437841242; 864675774; -1; 29378665; -1; 541944649; 733725387; 381856255; 519617536; 924716403; -1; -1; -1; -1; 882518660; 386451136; 657108386; 45743751; 793419306; 343465892; 967103788; -1; 819702247; -1; 189425714; 62596694; -1; 71131688; 272114228; 461681380; 124120824; 229454627; -1; 231358527; -1; 488040622; -1; -1; 31833569; 787674813; 131759837; 101597373; 852539293; -1; 640978674; 800802245; 807610144; -1; 853613373; -1; -1; 230534684; -1; 107270726; 927746886; 981988091; 476012855; -1; 154240994; 121034081; 372363981; -1; 364224931; 62885170; -1; 56141308; 898304925; 407678421; 710441788; 751960296; -1; -1; 607467192; -1; 524371156; 393362985; 746994692; -1; 652852623; -1; 494034891; 261744266; 952250739; 694183561; 801856236; 228040924; 710254839; 566240251; -1; 483624144; 721591878; -1; 947066379; 770336162; -1; -1; 380445873; 391398315; -1; -1; 221244018; 961675198; -1; -1; 620032586; 445085022; -1; 238348055; 952887655; -1; 830030209; 946113044; 905633856; 72176149; 74280487; 863994249; -1; -1; 287119681; 453220507; 486420906; 307599646; 271973951; 869699059; 421492892; 159250938; 231504601; 837813096; 596778049; -1; 26576331; 949151201; 504328582; 132364745; 739985870; 764004555; -1; -1; 475674526; 732618527; 785307901; 544859167; 515453919; 163982714; 793494778; 106421455; 651645458; 152132143; -1; -1; 24715604; 537588675; -1; 204502569; -1; 813988704; 665196444; 94633156; 261712639; 202719921; 406829525; 289108167; 753160072; 471941801; -1; 973295385; -1; 466986897; -1; 111138878; 744266502; -1; 241185882; 920779833; 823185611; 926397841; -1; 736716917; 283509925; 643478913; 554340548; 653892127; -1; -1; 815491545; 537307010; 240591268; 114233148; 726061311; -1; 26655468; 362261428; -1; -1; -1; 406778963; 498436219; 323668450; -1; 597196259; 778968119; 775945989; 995211842; 42045969; -1; 106894093; -1; 886903788; 198574868; -1; 696498438; -1; 592774184; 136809434; -1; 317808517; 831969948; 137187430; 693802931; 79800103; 939171429; 446296861; 151947189; 848076033; 650017902; 412316345; -1; 440710418; 43829693; 530690705; 223655580; -1; 76225375; 897888936; 780657759; 231148791; 720611697; -1; 611781010; 434311781; -1; 197039840; 570473374; 310322553; 945883610; 738332960; 561478656; 191284979; 6340069; 742393541; 610321196; -1; -1; -1; -1; 621016992; 731672207; 310410640; 867190749; 126298383; -1; 873237688; -1; 622959149; -1; 378736514; 663255384; 536365729; 89243438; 669496604; 835936271; 916147528; 350055645; 315522217; -1; 57153295; 316814994; 325637786; 953569959; 316352293; 624766541; 456111721; -1; 606892973; 424177186; 780561784; 742659843; 136224067; 749567487; 163010722; -1; -1; -1; 375946441; 718687257; -1; 527189676; -1; 314940457; 909037418; 775449207; 45774302; -1; 558811795; 950594798; -1; 797659156; 417924849; -1; 160823222; 827557642; -1; -1; 515595532; 613538762; 594290638; 734364216; -1; 528121036; 688824907; 157670888; 828891012; 272450087; 5735612; -1; -1; -1; 91328962; 106745805; -1; -1; -1; 540995801; 901471032; 718085195; 740037721; 169804311; -1; 422333544; 12351598; 933365043; 331577251; 52079100; 171164967; -1; 650357117; -1; 408384838; 481777634; 561683442; 504378048; 820245506; 232225214; 834100833; -1; 939360503; 933477027; 439978661; -1; 862417595; 5888365; -1; 653700240; 855215718; 789606398; 809301455; 666575740; -1; 33177195; 151954687; 134427951; 468255589; -1; 748392093; 23686260; 60305751; 414509767; 432894797; 232985041; 444024450; 468540572; 391439695; 859314387; -1; -1; 713246553; 275903581; 114824161; 659396036; -1; -1; -1; 65220014; -1; -1; 937355977; 997755776; 208721099; 276408162; 496022692; 467604578; -1; 343923612; 301415255; 40250072; 136291603; -1; 471216898; 513591719; 96465642; 677419756; 296358422; 759194591; 865897852; -1; 917331920; 616141372; 907134235; 332899433; 625813322; 750106256; 987077245; 859145745; 529303306; -1; -1; 363801453; 72023691; 59869990; -1; 655630475; -1; -1; -1; 276539988; -1; 572368998; 595019105; 825017041; 26849649; -1; -1; -1; -1; 662221118; 536047188; 910629437; 431128654; 320288075; -1; 721625263; -1; 288481929; 754054491; 584764668; 563474182; 275074728; -1; 481624332; -1; 191423344; -1; 253830594; 697532771; 405713654; 317896836; -1; -1; -1; 929315498; 351895307; 1883014; 632594103; 670106608; 758990105; 386900469; -1; 482228788; -1; 678240705; -1; 937758477; -1; -1; 560376493; -1; 855214878; -1; -1; 390499806; -1; -1; 991101729; 117716399; 345377807; 158194278; 579614035; -1; 842675038; -1; 88743938; -1; 501104861; 16684619; 93250627; 968070701; 681369926; 545697792; -1; 476542184; -1; 944044549; 721994418; 962089936; 774534267; -1; -1; 79278688; -1; 358531452; 867355863; -1; 876037846; -1; -1; -1; 651889971; 843646229; 578212972; 162968210; 72983064; 672746492; 465750019; 789974134; 250067859; -1; 11730259; 910826617; 25228533; 645568163; 795283858; 975503306; 724880873; 953094283; 164302651; 147819779; 618271030; 5160898; 561176112; 583035605; -1; 133359779; -1; -1; 482968583; 446756930; -1; 366576276; 331729545; 141816632; 290013864; 432314039; 728676939; 952985189; 643891584; 262037455; 410456353; 947040434; 837104896; -1; 362056883; 722109263; 546452248; 491176385; 176950067; 704305126; 184464185; -1; 964874276; 333242034; 450070735; -1; -1; -1; -1; 247252048; 764538676; -1; 347351027; 734261605; 85850044; -1; -1; 858066870; 768528849; 366800666; -1; 672723577; -1; 352530285; 572858435; -1; 245200620; 993471426; 267228688; 569213253; -1; -1; -1; -1; 813198102; -1; 946378955; 372532248; -1; 807955477; 476481845; 26831475; 474556120; 9237088; 431616495; -1; 775661876; -1; 926614118; 630449979; 823449055; 633368932; 959759009; 470708813; 929362047; 259525863; -1; 109160163; 711251001; 214434832; 328653520; -1; 816623156; -1; 635107485; -1; 15251914; -1; -1; 968913126; -1; 244311962; -1; 230735730; 710821691; 791733498; -1; 635119598; 796244756; 487079234; 54493929; 92554220; -1; 194801098; 138092761; -1; 796112305; 469506599; 855329462; 12230124; 453335101; 748266241; 757563870; -1; -1; -1; -1; 672985927; 505786820; 259274388; -1; 794288630; -1; -1; 504406479; -1; 504793887; 627243998; -1; 386018963; 809896212; -1; -1; 729237722; -1; 775076804; 294211231; 324476042; 976924132; -1; 545263969; 109076922; 761154983; 935116752; 438794908; 868451165; -1; 249999786; 978213115; 335642642; -1; 28562703; 55223376; -1; 905475799; 629217427; 30875923; 856472237; 58557468; 146058430; 393496687; 981924886; 658349304; 954251450; -1; 397672063; 599477999; 392508537; -1; -1; 311489247; -1; 67181139; -1; 759567502; 588325762; -1; 499347290; -1; 804226997; 441834974; -1; -1; 972460024; 984742257; 859959498; 360812547; 609501478; -1; 725948613; 2774497; 402806124; 43809724; -1; 61387482; -1; -1; 148447187; 345838393; 157065367; 395351219; 942085975; -1; 713630059; 863185152; 204040356; 761411231; 38507194; 196757714; 132691402; 786301437; 154414909; 371256607; -1; -1; -1; -1; 270797477; -1; 949202461; 252836495; -1; 552274579; -1; 84584924; 155115612; -1; 795677800; 978056068; -1; 860363708; 173968466; -1; 465491075; 330321388; 943553695; 262593759; -1; -1; 623397226; 851499775; 283208545; 250824411; -1; 564865252; 444913943; 561576519; -1; 326801258; -1; 407305080; 360467262; 49043416; 28330119; 967560102; -1; 156306044; 485949865; 216406214; 353817126; 987056240; 948579619; 80255962; 94657211; 242265869; -1; -1; 577103381; 30134488; 710485340; -1; 199146071; -1; -1; 854602238; 692665411; -1; -1; -1; -1; -1; -1; -1; -1; 572288517; 927919674; 294258141; -1; 281615094; 587459773; -1; -1; 916776501; 243490621; 671791380; 232561793; 898708948; -1; 234454494; 117516613; 989676376; 203084682; -1; -1; 966035069; 425236315; 637459678; 15684048; 650766254; -1; -1; 542358490; 447707987; 772393763; 444332397; -1; -1; -1; 750048793; -1; 934557083; 629852479; 532556962; 648220253; 315881054; -1; 47671208; 159258271; 676507278; 250535444; -1; 216463943; 198023764; 451487771; 889995440; 835889492; 106881011; 452395808; 674049049; -1; 332102990; -1; 185394679; 297864014; 757145260; 713311498; 536906635; 771780667; 952464490; 528965588; 367839775; -1; 869376100; 313421995; 532921915; 773303982; 814069245; -1; -1; 443745237; -1; 537486603; 263544651; 496500699; 639113683; -1; 11579058; -1; 185217265; 803244448; 389501524; 266915370; 950389308; 234573749; -1; 948208076; 760288945; 15502647; 82076273; 991208575; 369761237; 618009226; 98976073; 434998995; 411317628; -1; 82886895; 524238150; -1; -1; -1; 691807002; 526429455; 639241428; 690594198; 373701580; -1; 333756982; 551613883; 821235673; 990603536; 134521466; 977112868; 632662067; 20601060; 516011829; -1; -1; 87523715; -1; -1; 771208858; -1; 965212769; 640314495; -1; -1; 926257547; 306852315; -1; 705383999; 282095608; 940653474; 645855666; 609709241; 450067972; -1; -1; 97479524; -1; 439114657; 625532939; -1; -1; -1; 461522319; -1; 784108277; 910556621; -1; -1; 935562877; -1; 707693388; 953944790; 509036496; 137826654; -1; -1; 105794140; -1; 42948060; 104575620; 651825912; 423540827; 121441010; 64044280; 678677366; 702732735; 20674016; 143760020; -1; -1; -1; 54171993; -1; 783375944; -1; 883414619; 181802106; 175113467; -1; 909780239; 5319378; -1; 137888853; 333083639; 626380120; 637969522; 320836683; -1; 437350561; 994641647; -1; 886253144; -1; 263725438; -1; -1; -1; 464837424; 535825058; 230731985; 898850161; -1; -1; 69492064; 395385578; 188923796; 835732294; 789402755; -1; 344457368; 738160294; 932562677; -1; 648427162; -1; 463301036; 708021327; -1; 330402189; -1; 411154647; 731223896; -1; -1; 728615911; 26052766; -1; -1; 427567853; -1; 420366424; -1; 739312468; 899525449; 322511611; 214664645; -1; 398824712; 958070556; -1; -1; 931162105; -1; 924063766; -1; 937274993; 447110209; 83349811; -1; 570860896; -1; -1; -1; -1; 788927917; 886555953; 580083916; 620567238; 683828822; 230747010; 641017964; 573590606; -1; 562349723; -1; -1; -1; 793505881; 578043995; 168012488; -1; 679047832; 531137319; 620495801; 841058790; -1; 811367260; 674832286; 647185796; -1; -1; 49314000; -1; 509821583; 747690955; 565143862; 499083962; 113657212; 751824664; 919206872; -1; 73531356; -1; 841548888; 125438621; 357634556; 740132509; 323936371; 985833303; 703928927; 648712109; -1; 985050183; -1; 485066958; 559456034; 862186724; 284677864; 470451526; 795849123; 410084927; 435461537; -1; 127670063; 532023665; 83131973; 855204886; 823814845; -1; 198107533; -1; 343655830; 688160623; 653525043; 90633871; 762556242; 304600525; 401364751; 584943917; 669105000; 789340952; -1; -1; 354743353; -1; -1; 592319973; 41934230; 767838242; 659046626; -1; 904933998; 515961333; 672891270; 801899191; 805508561; -1; -1; -1; 269313272; 975366651; -1; -1; 761464738; 246221849; -1; 166123890; 10153572; 773544290; 473846453; 596109056; 663682351; 862624169; 313720464; 630585601; 191868867; -1; 6820434; 505052945; 460181682; 865873772; 959596864; -1; 776177685; -1; 68457722; 852836559; 224309678; 619886340; 186856837; -1; 177555180; 510365918; 263206306; 787931732; -1; 677733646; -1; 452572975; -1; -1; 986040796; -1; -1; -1; 449995278; 736329847; -1; -1; 367582253; -1; 850228282; 557469734; 385261587; -1; 596349818; 200803065; 942763902; -1; 338209167; 838604905; -1; -1; -1; 676370581; 31663637; 287708211; 722195705; -1; 333798448; -1; 920697302; 697961166; 931588318; 580845528; 725420377; 249670921; 926589460; 568607924; 427701034; 267555621; -1; 158371793; -1; 692596716; -1; 319726810; -1; -1; 118291204; -1; 233991157; -1; 417065574; 702929150; 73921161; 486140946; 353947072; 156245333; 246301306; 304979372; 48276061; 564254450; -1; 768274316; 886452188; 540934868; 5994785; 506920219; 545286585; 159382633; 220027261; -1; 310392451; -1; 395514613; 152471713; 570200268; 572014601; -1; 843791120; -1; 690165904; 998214030; 992315670; 8767801; 307616646; 930173182; 655315005; 757688070; 938331440; 349438055; 411000454; 700061813; 120920255; 793735411; 707201488; 998391504; 402964089; 360065449; 276129836; 108438142; 625896879; 900330782; 416897431; 433548010; 707340321; -1; -1; 459067561; 147650204; 615902909; -1; 35381654; 539272847; -1; -1; -1; 454571582; 543342761; 190144259; 203999757; 200322447; 562216697; -1; 699085555; 860373141; -1; 670374610; 835921726; 588936933; -1; 758461664; 387540311; -1; 619880922; 100783043; 410024630; -1; -1; -1; 474463024; -1; 437933152; -1; -1; -1; 473484626; 851123434; 693363409; -1; 429440196; 195326481; 320507511; 965941551; 411745064; -1; 506449794; -1; -1; -1; 850927596; 736135561; 452080818; 328037314; 879698868; -1; 236291774; 678856375; -1; -1; 66116123; -1; -1; -1; 260127636; 742609942; 217414571; 588600781; 917756580; 182664390; 633334477; 967625808; 345150701; 557181918; 615162719; -1; 160176393; 681569187; -1; 917438497; -1; 922166780; 517570314; 956443236; 374387153; 733232945; -1; -1; 983551195; 55394103; 14982996; 856192419; 282587121; 43967096; 587994749; -1; -1; 851737547; 201194250; 633993790; -1; -1; 313499493; -1; -1; 220013830; 467429405; -1; -1; -1; 576839873; 894469767; -1; -1; 79692195; 132535007; 23183594; 23050630; 763127599; -1; 633144295; 54919333; 681889168; 409435090; 415856370; 32755688; -1; 199438360; 469235582; 194693458; 30446736; 540549068; 529955617; 19613055; 967252991; -1; 262596886; 381732556; 783293614; -1; 32500030; -1; 24567102; 204822836; 896714331; -1; -1; 215932360; 56663280; 266648242; 668148711; -1; 1906626; -1; 617713190; 173626672; -1; 322357359; 3548862; -1; -1; 920644536; -1; -1; 569269724; 738167985; 871094243; -1; 583732610; 717926690; 366931303; 753800030; 848068439; 663718514; 711147499; 55376916; 530982198; -1; -1; 250546255; 183865153; 10469089; 439225821; 685019747; 929029484; 950939225; -1; 889490000; -1; 747074517; 45975447; 26065683; -1; -1; -1; -1; 628389764; 527575687; 789134331; -1; 36647052; 521390300; -1; -1; 338882388; 376306929; 135841787; 140624055; -1; 276128859; -1; 760130915; 977797617; 897407413; -1; 924793448; 109904107; 51520484; -1; -1; -1; 590271133; 537938166; 394706081; 882143687; -1; 820054162; 31817820; 1950524; -1; 614289550; 350132829; 430025197; -1; 444450671; -1; 90207531; -1; -1; 608789440; -1; 788839508; 654816621; -1; -1; 194296518; 87821493; 969808394; -1; 430846504; -1; 388345407; -1; -1; 81003474; -1; 660148912; 612308407; 835472036; -1; 624402389; 974990587; -1; -1; 73513210; 464134193; -1; -1; -1; -1; -1; -1; 397930854; 17301686; -1; -1; 882133790; -1; 215315211; -1; -1; 537356416; 376707932; -1; 9854369; -1; 16354529; 845037553; 664695466; 624889199; 659468170; 608303500; 690114925; -1; -1; 515227696; -1; -1; 581539149; 978431292; 373940358; 614282892; 672125840; -1; 77046020; 647899066; 645302887; 544492026; 706098800; -1; -1; 384710176; 454234294; -1; 19224013; 794742695; -1; 355214045; 424510383; -1; 457437692; -1; 75950676; -1; 75052497; -1; 160683350; 403534054; 43295561; 651529473; -1; 472521830; 700827066; 199699590; 860803942; 872458469; 868243813; 649644537; 860414805; 729749543; 244447954; 206975768; -1; -1; -1; 291490549; 850587668; 226515883; -1; 215733552; -1; -1; 517651967; 29355622; 727002365; -1; 138815009; -1; -1; -1; 576035638; -1; -1; 631502726; 830367015; 830778038; -1; -1; 693570333; 466575444; -1; 144530845; 302641632; -1; -1; 152378871; 495073544; 871684065; -1; 923323211; 44825067; -1; -1; 490817229; 5360611; 695194021; -1; 940246516; 358517301; 413534050; -1; 591257156; 870926255; 195312762; 46384994; 759851209; 571363397; 878496629; 726302937; -1; 910459058; 659612622; 180155028; 451582694; 195214667; 168588910; -1; -1; -1; 854967927; 699018962; 772938072; 562068940; 629393783; 264631095; -1; 92789393; -1; 610070431; 556311977; 104878837; 753721921; 955535891; -1; -1; 141856532; -1; 587013671; 86193722; -1; 220413938; 27555653; 497604618; 646990247; 219402707; 569587040; 693002970; 622414933; -1; -1; 984366366; 980437492; 834846465; 681714452; 780399378; 906380707; -1; 228201532; -1; 335488729; -1; 529312179; -1; 392494181; 646850455; 770402905; 507644123; -1; 182794876; 932519180; 792196713; -1; -1; -1; 516331262; 915942484; -1; 486256857; -1; -1; -1; 282422710; 162538652; 58676540; 408957017; 865498269; 55361021; 7450973; -1; 642294234; 268371433; -1; 239768530; 585797348; 145911832; -1; 12494119; 680659679; -1; 801625383; -1; -1; 327490470; 33335397; -1; 761765465; 462088636; 40935453; 803026885; -1; 525042404; 772755233; 310874941; -1; 104597536; 996748399; -1; 79662932; 991006671; 772728011; 970626112; 581544566; 980824413; -1; 774505992; -1; -1; 572223895; 567529126; 385343937; 366845645; -1; -1; 850359620; 328952981; 213724765; 458535946; -1; 893526978; -1; -1; 276477672; -1; 135482529; -1; 312952394; 779734614; -1; 113934495; -1; -1; -1; 111583979; 523293837; 346412766; 586261818; -1; -1; 546972177; -1; 630120248; -1; -1; -1; 555747884; 976270951; 546392076; -1; 375802790; 800403092; 401713417; 210247304; 511624409; -1; -1; 479185992; 183514106; 982799263; 112751676; -1; 140134465; 956188262; 788928292; 144049205; 787490933; 449616678; 469339953; 982410555; 991485773; 27313283; -1; 662574149; 96437599; -1; 176389070; 278519776; 412577481; -1; 470891576; 739785654; 898123204; 364302508; 356241737; -1; 165438662; 85939406; -1; 29323022; 407040433; 38554455; -1; 398394332; -1; 739693642; -1; 389903069; -1; -1; 890067266; 726124076; 712990833; 589414005; 828084040; -1; 34999535; 970817613; 60941058; 322826454; 187655619; 697688835; -1; -1; 38909138; -1; 699859016; -1; 865577450; 860780970; 454508343; -1; -1; 223650592; 329928779; -1; 276182560; 470442694; 144680681; 409178953; 371400164; 104856673; -1; 873239319; -1; 823864210; 205417113; 972548982; -1; 894612438; 284130986; 49231946; -1; 407769480; 649595277; 100352907; -1; 189447454; 124122222; 538083376; 51358788; -1; 663137550; -1; 809193633; 945369486; 76781670; 364602706; 118921222; 639795793; -1; 92071144; 211458866; -1; 422168218; 953494592; 481459647; 51127593; -1; 578522452; 571559402; 126890210; 421092505; -1; 765305791; 545147792; 446827927; 718450063; -1; 13410216; -1; 99630512; -1; -1; 343100329; 410172315; 195844779; -1; -1; -1; -1; 768330057; -1; -1; 518539778; 115279788; -1; 815126173; 521028606; 371774843; 318398500; -1; 321491741; 852069595; 290704146; 169636624; 772124940; -1; 658150627; -1; 465902155; -1; 666879637; -1; 636868062; -1; -1; 930806327; -1; 240934134; 310159159; -1; 287146206; 77907775; 319254414; 391422339; -1; -1; 600622802; 455168265; 508512326; 110767864; 274073193; 456216784; 331573417; 436718147; -1; 677860885; 472137117; -1; -1; -1; 795178333; 243090819; 16243926; -1; -1; 69571549; -1; 924106878; 993341300; 729779059; -1; 111142911; 61994144; 342803611; 74619353; 240653587; 340797874; 269420146; -1; -1; -1; 436257216; -1; -1; 726350867; 146243331; 463596885; 594723141; -1; 610501516; 865268309; 66532052; 170905947; 387379212; 142560815; 98687825; -1; 250018526; 669310767; 213030036; -1; 967204433; -1; -1; 742698906; -1; 325080522; 187750195; 691781053; 126930422; 182618449; 339331822; -1; 773018273; -1; 978620332; 325857078; 67627093; -1; 922116939; -1; 311862103; -1; 349412413; 921615564; 659661048; 624909936; -1; 556349009; -1; 720335347; 319757896; 924575414; 863456098; 968305154; 473342332; 679346248; -1; -1; 46312494; -1; -1; 903808410; 315274143; 391587130; 925312065; 715150064; 459330595; 979125138; 875678044; 426504816; 894078276; 700555739; -1; 665190575; 751986305; 257524756; 346279340; -1; 463609525; 321302665; 228786256; -1; 861848890; 170818809; -1; -1; -1; -1; 413364672; 781551647; 471396373; 11255020; 136573867; 103192347; 159599865; 87504342; 792188932; 25262943; -1; 741942749; -1; 336644558; 695399897; 548339684; 981561766; 605969719; 214828641; -1; -1; -1; 285156006; -1; 439113138; 743424924; 545518738; 125267354; 561711911; 744017024; 415639057; 162512733; -1; 308018879; -1; 575354889; 407284015; 295134413; 605285771; 555955089; 369616617; 279524157; -1; 330257800; -1; 423303212; 311257776; 213028339; 516257809; -1; -1; 372753895; 512841037; 13571103; 790950346; -1; 698514854; -1; 918166173; 432806911; -1; -1; -1; -1; 786654408; 206185680; 939801085; 757648617; -1; 493574760; 835698943; 168932811; -1; 609838395; -1; 874408550; 20651887; 912733477; 459586276; 763388268; 416917063; 349056530; 802325920; -1; 26612769; 678248651; 275975497; -1; 56216895; 981793410; 517146520; -1; 125881628; 989024113; -1; 211857184; 885609233; -1; 657237307; 241739187; 992942592; 908346735; 127290581; 995033098; -1; 791262710; -1; 863139857; -1; -1; 486336600; 249415752; 764013220; 500954954; -1; -1; 810226646; 399807708; 930362781; -1; 343014084; 528827182; 783736187; 816059633; -1; 747932258; 813009175; 659665385; -1; 870723236; -1; 893692953; -1; -1; 49250760; 33000279; -1; 581618526; 292610130; 253567635; 982694701; -1; 41942216; -1; -1; 347762259; 19166220; 789915970; -1; 525828449; 275720194; -1; 483132170; -1; -1; 576083135; 463603894; 534152314; -1; 477084495; -1; 180928546; 683097781; 988638040; 870523671; -1; -1; -1; 247586071; -1; 653573874; 682241692; 521214799; 399140723; 877440271; -1; 718002433; -1; 857124838; 931353439; 343381036; -1; -1; 37635605; 538458010; 347264771; 926588452; -1; 271413394; 323847989; -1; 519607056; -1; 627469829; 953046141; -1; -1; 627948077; 595821841; 250871232; 326698879; 879942150; 937008043; 254082653; 189600; 1124094; -1; -1; -1; 871342456; 630617065; 364800993; 122986868; 250282967; 250679302; 195795706; 857750732; 119300136; 240811651; -1; -1; 844701396; -1; -1; 557672470; 399330444; 733439864; 500715416; -1; 917089717; 698841381; 826791184; 487127793; -1; 580152615; 337069617; 71967030; -1; 545902351; 893996937; 731979916; -1; -1; 731150178; 537804995; 913464892; 43253566; 592365202; -1; 892659936; -1; -1; 271169958; 467482619; 514988165; -1; -1; 350408228; -1; 176392579; 867052974; 538263300; 532163625; 183361928; 389601197; 662769169; 578370619; 278813337; -1; -1; -1; 859924265; 115017040; 672543998; 329639879; 358023588; 279018571; 479955273; 870885518; 3083132; 395658820; 436174616; -1; -1; 640086858; 421020483; 128721076; 612291892; 450705535; 139996710; 151418214; 300756999; -1; 567043085; 678014532; 657566083; 660979811; -1; 297763071; -1; -1; -1; -1; 671002893; 992726309; 623643536; 299204886; 927399419; 832295395; 203968394; -1; 969493240; -1; 686642102; 705669452; 300538503; 104291159; 704613412; -1; 152764693; -1; 973282666; 835045597; 766291878; 476300540; 704025142; 888671777; 228496796; 216856929; -1; -1; 857921899; 741335661; -1; -1; 334305507; 634374102; 857205130; 980599854; 733805978; 349108644; 564065916; 738454460; -1; 647924671; 132389776; 197962382; 891026795; 412975640; 30369891; -1; 219888249; 580214795; -1; 828006469; 633092964; 416021445; 478913163; -1; 522493820; 876276686; 517069397; 487719419; -1; -1; 127370193; 458917444; 288052992; 335257682; 807159224; 915875601; 555790927; -1; 434007426; 183597121; -1; -1; -1; 552751482; -1; 226705456; 799888122; 104557564; 671532994; 873184938; -1; -1; 452917866; 119983058; -1; 184033050; -1; 721067938; 543422392; -1; 310292712; 490369045; -1; 67083478; 573477140; -1; 162469257; 581088671; 513310381; 192822200; 6956443; 738077714; 130333781; 975103935; 88993868; -1; 460809808; -1; -1; 162081417; 49287738; -1; -1; 653941668; 715360571; 763639914; 118826076; 511195406; 422115735; 502645069; 826559280; 379701527; -1; 413890140; 212161484; 200652144; -1; 717347588; 524491666; -1; 228843130; 217393007; -1; -1; 812576681; 432497380; -1; 201603827; -1; 251759601; 38923583; -1; 842219252; 979473518; 375051296; -1; 951593972; 878829369; 116819725; 211175203; -1; 112070837; 846748543; -1; 488970745; 712613429; 88709712; 177481242; 925954680; 469799520; -1; 295202687; 52122019; 184977147; 729899114; 839663151; 109830380; 320966624; 941584919; 923624885; 571742022; -1; -1; 423594216; 879449763; 861304807; 719918579; -1; 961854497; -1; 411305502; 453229037; -1; 172048782; -1; 570475848; 725926734; 488186725; 442941028; 40844135; -1; 24587259; -1; -1; 706677210; 937132126; -1; 87015472; 342432619; 462905230; 793315974; 524699911; -1; 126297614; 335676286; 475054795; -1; 969637429; -1; -1; -1; 535269989; 700399617; 411157842; 506875315; 567363698; -1; 844810284; 781590428; 990570333; 590759308; 681697880; 192545981; 127545788; -1; 890904618; 327468751; 460920016; 126955943; 119024210; -1; 328277161; -1; 286080072; 348099489; 608757769; 195293279; -1; 814799777; 245027247; 215142633; 843920397; -1; 729687443; -1; -1; 722608331; 385767006; -1; -1; 140722220; -1; 608110564; -1; 40736821; 998353561; 925266421; 193513102; 3602449; -1; -1; 800609527; -1; 268082698; -1; 113927478; 144065364; 600820577; 905317082; 579150250; 678325525; 174454193; 670602776; -1; 509367648; -1; 516812583; -1; 246061838; 750767256; 739842781; 625193035; 393270060; 289675711; 636647641; -1; -1; 129623192; -1; 90559350; 306525843; 598142099; -1; -1; -1; 188413264; 189060818; -1; 918372259; 475838814; 335509021; 352268738; 198212625; 491855134; -1; -1; 585481973; 79074689; 666861038; 967413723; 78906696; -1; -1; 309630299; 706024927; -1; 593911694; 625160451; 291454470; 330053447; 352215420; 808243396; 772268418; -1; -1; 104849750; -1; 880158342; 108560924; 263753244; -1; 513831618; 729562005; -1; 142348965; 115220412; 837601895; 618268500; -1; -1; 453227654; -1; 798300652; 903357289; 117995616; 968676; -1; -1; -1; 857901657; 207698117; 18862434; 9647809; 87151976; 843578605; -1; 381327680; 40006081; -1; 478610329; 565355893; 200483362; -1; 381254813; 343682878; 625450568; -1; 824854098; 198187270; 182934449; 513471152; 684248343; 197479224; -1; 203352346; -1; 535502758; 507690475; 534613620; 54892539; -1; 185180679; 279707767; 746671012; -1; 182785307; 150340071; -1; 632930328; 55622446; 305344297; 281972089; -1; -1; 705168024; 148225325; 904789106; 692752238; 721502209; -1; 707233261; -1; -1; -1; 389399920; 380212477; -1; -1; 921501359; -1; 59751138; 831333075; 629738022; 824861913; -1; -1; 346317530; 228852133; 970605127; 566041668; -1; 558304232; -1; 341468651; -1; 312827250; 686682607; 808226734; -1; 476379045; 155195695; 688643086; -1; -1; 116559628; -1; 291691482; 644901210; -1; 181391371; 351152610; 366462616; -1; -1; -1; 572025064; 524368055; 289042818; 306847541; 327746892; 696125211; -1; 948733182; 290678798; -1; 303950991; -1; -1; -1; 717805447; -1; 919515753; -1; 349055617; -1; 172908371; -1; -1; -1; -1; -1; 142554066; 300356941; 212345044; -1; 594874359; 556069526; 765389254; 901999245; -1; 582971226; 920848771; -1; -1; 730962415; -1; -1; -1; -1; 985485178; 23440718; 758213240; -1; 515585783; -1; 620150650; 600123359; 16487423; -1; 321422731; -1; 929031635; 16455806; 983046537; 519458253; -1; 168599162; -1; 270669379; 165184476; 939691226; 16091689; 205849529; -1; -1; 148211658; -1; -1; -1; 517365809; -1; 150556778; -1; -1; 408864453; -1; -1; 556208801; 216463887; 176044996; 610974287; 513952428; 365548827; 938769573; 181647022; 301147397; 809032716; -1; 887159345; -1; 607293660; 795285; -1; 781387830; 602365379; 663681405; -1; 802644908; 924842469; -1; 41440155; 958764662; 864152610; 958091165; 721475672; -1; 639721492; 325519092; 861604118; 983306823; 833426783; 876056548; 916658217; 936673355; 732237514; -1; 615100969; 63982396; 823792304; -1; 739483441; 344511331; 676899315; 731238149; 801890811; 438662285; -1; -1; 988554471; 449668068; 585263344; 379348309; -1; 661995573; 992329022; 925955103; 187348962; -1; -1; 431434160; -1; 760086316; 375872458; 732639860; -1; 608623087; 922981723; -1; 387417624; -1; -1; 636912889; 767313010; -1; 266170598; 681853445; -1; 270638141; 947415188; 177025036; -1; -1; 375752336; -1; -1; 260111707; 111303809; 732767535; 426721096; -1; -1; 614612427; 150103411; -1; 501154926; 683926276; -1; 575877418; -1; 959605085; -1; 455985096; 362702593; 903996017; -1; -1; 493895229; 574612642; 742763335; 267040043; 403983556; 990046444; -1; 725258163; -1; 443570396; -1; 961502618; 112644881; 653878727; 919062377; -1; -1; 818735061; 403759554; 500246416; 595465505; -1; -1; 763053057; 603499338; 816352386; -1; 125487472; 119845994; -1; 533286489; -1; 358702781; -1; -1; 361738646; 846381869; 985026703; -1; -1; 26920053; 330259206; -1; 258527467; 251080392; 899873447; 819314406; 977495937; 72791894; 400647868; -1; -1; -1; 529209285; 280009221; -1; -1; 176415487; 796798004; 130197335; -1; 564423938; 594325300; -1; 244615227; 397477524; 735005368; -1; 69893900; 582478594; 796403450; -1; 97336686; -1; 277663500; 860078567; 916319230; 215062823; 36401870; -1; -1; 340190961; 196304970; 744756586; 250863342; -1; 181237522; -1; 928663127; -1; 615551784; 985281258; -1; 426130386; 507587092; 337126322; -1; 576752814; -1; 123540097; 941825925; 246739950; 874982696; 744167314; 500613041; 240458178; -1; 863496538; 489161692; 759444300; -1; 84500969; 124665744; 473066110; 20545778; -1; -1; -1; -1; -1; 586347189; -1; 222221311; -1; -1; 782978657; 158185512; -1; 977896518; 381777951; -1; 561952378; -1; 814705468; 111593658; 514649560; 663063635; 114432366; 974237556; 538266866; -1; -1; 658566809; 672045602; -1; -1; -1; 855598016; 825353954; 991429693; 370626378; 141382569; 401485259; 465317034; 590056137; 718265226; 648640197; 834064197; 248100117; 52596815; -1; 377114578; 192400404; 941559440; -1; -1; 143776072; 107328447; -1; -1; 340207771; 538788380; -1; 198874482; 82952161; 630403263; 89290337; 181517194; -1; 688394858; 510047989; -1; 301095176; 18448669; 900932834; 459665111; 998989417; 168095065; 446960950; -1; 918816824; 343168751; 919490934; 204785128; 946379274; 815668963; -1; 932035139; 619520617; 458193963; -1; 348555977; -1; 156960149; 665878382; 808368745; 865627828; 646030647; 412395192; 280982690; 316687856; 105102931; 83718826; 154954625; -1; 505444990; -1; 464271139; 621768333; 2310968; -1; -1; 308877327; -1; 785845688; 364941588; 967241599; 253347429; 613355277; 452256590; 561538137; -1; 671601451; 633724874; 506474707; 28895640; -1; 279007134; 701262113; 807760512; 981110156; 355740995; -1; 46684293; 246601073; 932622764; 56072505; 700010029; 481513238; 470262317; 655943899; -1; 783234847; 94906918; 712421319; -1; -1; -1; 589594340; 47511713; 447198356; 158606580; -1; 191552032; 649732779; -1; 333826245; 510612706; -1; 257705696; 695801896; 927011767; -1; 465894196; 777156747; 898423948; 375332728; 359145072; 194090899; 558148421; 862659402; -1; 773089245; 544904771; -1; 320796678; -1; -1; 874150458; 307983452; -1; -1; 573228877; 351660077; 454791517; 449494934; 507078798; 273141568; -1; 660762970; -1; 194090784; -1; 408155279; 139352506; -1; 165124695; -1; 196953164; -1; 755105287; 251556605; -1; 254862451; 536454573; 856795496; 353544807; 133639979; 673694009; 571988211; -1; 109214709; -1; 603433161; 678936805; 616428153; 416784881; 851289759; 171890631; -1; 402224789; 925242961; 852956024; -1; 509120639; 181843988; 90012568; -1; 384260451; 67904251; 197137454; 281215778; 841215479; 671388761; -1; 23700929; 780750910; 432987363; 423365899; 372557834; 936068249; -1; 963089713; 457277657; 252529799; 378487505; 626091788; 710104660; 213476106; 895500446; 595214845; 950388751; 777444717; 693718371; -1; -1; -1; 528853816; -1; 647982517; 579038061; 766494838; 604259624; -1; -1; 156250152; 629469324; 749967984; 486697565; 578098292; 419494524; 402149710; -1; 64266191; 733304829; 619466856; 792194679; 631602268; -1; -1; -1; 554107673; -1; -1; 41752556; -1; 287869715; -1; 579854826; -1; -1; 495803295; -1; -1; -1; 710856621; -1; -1; 47758304; 650385951; 758992435; 700469406; 112699195; 722451951; 174664434; -1; -1; 313972531; 182572550; 240222478; 922315992; -1; -1; 860740628; 432629687; 36663865; -1; -1; -1; -1; 387899412; -1; 444941466; 181569760; 239773141; 94534428; 121473852; 905626744; -1; 534757920; 940894218; 328614723; 900688510; 162780355; 708578921; -1; 956413858; -1; 64744567; 25287184; 279186593; 876831456; 896689407; 931003636; 780171986; 363012516; -1; 613951744; 522987985; 905353449; 805537584; 536145886; 983564097; -1; 439688847; 153872086; 788777901; 528904354; 268015041; 609114200; 842421941; -1; 567184051; 731192010; -1; 985640823; 986691746; 740340292; 99162141; 6234348; 748907004; -1; 575786793; 76246177; 780954238; -1; 333673797; 239377997; 852159029; 809655088; 897946957; -1; 505458688; 168554751; 542867218; 429155400; 274670356; 263406254; -1; 627405092; -1; 775054212; -1; 844497102; -1; 92053729; -1; 233692797; -1; -1; 637111004; 509338424; -1; 59077531; -1; -1; 496974303; 404043024; 820638140; 308039013; 101478663; 365908023; 276915056; 259790248; 874817818; 375101743; 429630355; 650156425; -1; 698956263; 217366935; 878769552; -1; 849845736; -1; 129464549; 496921256; 398047361; 321478878; 442673408; -1; -1; 38106033; 379759354; -1; -1; 789297288; -1; 495934070; 378615847; 552229735; 774591031; 457366374; 833939919; 311359484; 120516191; -1; 662211164; 478314209; 359319716; 244513405; 704605798; 859456668; -1; 980025428; 780046409; 742004754; 54240396; 444277790; -1; -1; -1; 57843228; -1; 265754548; 363354184; 229117226; 949157187; 569883750; 669537788; -1; 700706039; 573683284; 457515672; 225182176; 382312691; 284385015; 430868353; 91540521; 102017460; 599732684; 829238701; -1; 903242329; -1; 949500963; 989103129; 338163068; 592627380; 993152152; 892536703; 517466570; 931879564; 925782908; 117601976; -1; 217136683; 413707605; 863650915; 9266801; -1; 590423584; -1; 15690702; 474416573; 997085757; 417833828; -1; -1; -1; 182279454; 864943163; -1; 696655182; 317391648; 908451453; 871196266; -1; 925858551; -1; 32246475; -1; 513974585; -1; 387083872; 150629614; 621018499; 489779848; 919826183; 431988531; 258906174; 434031275; 189841935; 380367658; -1; 13587216; 38298756; 861552163; -1; 317456843; -1; -1; -1; 176797237; 795392114; 56372820; -1; -1; -1; 886513523; -1; 366408509; 256993585; 284024862; -1; -1; -1; -1; -1; 774006490; 51865948; 81358644; 195538447; 893808125; 663392439; -1; 962574406; -1; 769801971; -1; 665545883; -1; -1; 704360087; 89545101; -1; -1; -1; 108897610; 715569338; -1; -1; -1; 843268204; -1; 380831996; 997181130; -1; 989145801; 903394718; 528842902; -1; 359774264; 816907843; -1; 314201195; 231726863; 942216455; -1; 314701191; -1; 216363311; 491693698; 293826796; 171101237; 450313830; 98044809; 31241258; 418829791; 725654883; 166721525; 38624071; 233022407; 357388897; 250388456; 576344501; 593776567; 435055875; -1; 67064994; 73550361; 588126239; -1; 517680126; 785334117; 961675563; 914986388; 979500381; 373707363; 563443637; 934099669; 800918536; 420548487; 707230917; 542702587; 46958550; 939213565; -1; 728451193; 521329407; 31960437; -1; 314719289; 776338612; 506339805; -1; -1; 240723659; -1; -1; 823339483; -1; 102392432; -1; 980940315; 931896231; 646689435; 489509506; 286051545; 830626495; 545244639; -1; 493423885; 315002184; 915308087; 3777804; -1; -1; -1; 621328158; 924050975; 985064735; 305156231; 927991808; 842598142; -1; -1; 631028310; 811901003; 476524896; 438261328; 136607405; 509435508; 622842076; 963817050; 6152604; 747089172; 287296763; -1; 26913951; 221785835; 178509125; -1; 792829332; -1; 151735573; 44493105; -1; 686901602; 209188816; 341356944; 705434369; 711145414; 344135699; 983069482; 863724472; 217507574; 394513430; -1; 991514243; -1; -1; -1; 883134923; 399137891; 342114828; 140963829; 379838852; 256032441; 709474729; 748233178; 855628540; 421175480; 986327267; 395226889; 101581927; 687464543; 339142637; 408419810; 749601108; 439358755; 138071783; 504518213; 699125815; 475810048; 349802411; 695706515; 190424473; 141061571; 199663763; 888690557; 881748067; 174305287; 535203738; 894917797; 185692245; -1; 341408655; 879568252; 950694988; -1; 423664531; 967071305; 706149960; 1910771; -1; 941039661; 75725193; 718282038; 366950635; 74062110; 473007919; 348724511; 892553273; 475814853; 763375660; 866717481; 953266348; -1; 443682864; 335951911; 47068114; 472707862; 732612278; 466382794; 942600195; 232273183; 785398074; 906162075; 912666616; -1; 664310517; 976092159; 681993238; -1; 973636937; 767290106; 585792087; 151702050; 194068094; 186405014; 382923869; 284509680; -1; -1; -1; 220447307; 806241335; -1; 876921802; -1; -1; 216817985; -1; -1; 308065061; 851037861; 130102221; -1; 330700219; 195894147; 27800404; -1; 726719249; 626274241; 440403367; 657100029; 210918209; -1; 599628445; 685878824; 197249197; 732901413; -1; 663051119; -1; -1; 472499841; 86171632; 170203719; -1; 718949073; 394255715; 649313892; 836383663; -1; 646899870; 640958002; 983250805; -1; 2701566; -1; -1; -1; 793223596; 652455485; -1; 234025801; 141022489; 410941048; 602216044; -1; 232045692; 198323768; 809542532; 444952492; 139516368; 663075433; -1; 373312282; 672789015; 892001963; -1; 221755095; 148403815; 827083447; 236004074; 593209668; 924241148; 286632181; -1; 941525527; 836013193; 232238787; -1; 820276625; 252436151; 936274976; -1; 860926475; 149348751; -1; 455046832; -1; 350775594; -1; 558454196; -1; 862676186; -1; 831056623; 21345441; 569416383; 429328283; 123012683; 418869550; -1; -1; -1; 868769091; -1; 306144274; 484122647; 518865459; 430795624; -1; 872151118; 619582389; 787839202; 72280535; 261137414; 619751285; 223769625; 133853521; -1; 54548749; 395983186; -1; 518208490; -1; -1; 673809012; 945071616; -1; 662361459; -1; 895550392; -1; 462722748; 864161174; -1; 103060088; 741335576; 471817670; 145029613; 843900857; -1; 534085010; 10450793; -1; -1; -1; 642698382; -1; -1; -1; -1; -1; 612091632; 22152831; 973879826; 792495171; 739757969; 637364546; 17417274; 10718200; 513530078; 368063741; 455987819; 959240325; 547074745; 68303364; -1; 649319368; 953026711; 164147123; -1; 835616822; 126565136; 805268931; -1; 619360429; 837362116; -1; 673333719; 963313654; -1; 404406803; 101897327; 337055687; 159978650; 884550595; -1; -1; 725968341; 281153231; 320130453; -1; -1; 26383309; 479036212; 864301877; 783402248; 986927538; -1; 732910236; -1; -1; 599505292; 556999251; 412717570; 258150792; 985757277; 660075259; 947721221; 278358479; 819416375; 668850274; -1; 479557180; 32489715; -1; -1; 212181587; 627122675; 94011831; 525884279; 74748174; 384626713; -1; 372105338; -1; 469367199; -1; -1; 517791595; -1; 970472138; 625992326; 386908849; 457913599; 97705405; -1; 10883086; -1; -1; 623222167; 151107690; 439850958; -1; -1; 436420992; -1; -1; 995820668; -1; 498378907; -1; 717773713; 949006561; -1; 932865008; 974967933; -1; 492504491; 378366209; -1; 324916449; 580876719; 208704859; 590331844; -1; 579152047; 339117603; 422062102; 296372087; 927596837; -1; 390722667; -1; -1; 63552910; -1; 556979157; -1; 953569869; 299385510; 466778626; 481183389; -1; 1191080; -1; -1; -1; 102277464; 509028755; 115963930; 673125346; 689034604; 275778322; 812846206; 458236902; 391931077; 214083957; 872822715; -1; -1; 740465865; 161514900; -1; 820311946; 889202075; 162234230; 11255125; 199883508; -1; 686950899; -1; -1; 24833455; 274743884; 69729990; -1; 885155486; 448355062; 224364452; 708068902; 258414881; 726024278; -1; -1; 791018830; 8752735; 308269842; 842163134; 914839270; 107995738; 757040205; 289278492; 910662811; 480472485; 811585887; 169679964; 523456725; -1; 932051819; 238993892; 533559713; -1; 542950375; 121683639; 254740231; -1; 759221060; -1; -1; 829786216; 688307787; 553508506; 702853802; 63595; 911902818; 921716784; 32635459; -1; -1; 800124253; 299835457; 498452012; 504810415; 928596374; 895846119; -1; 5084421; 67699780; 558723465; 983694211; 280337623; -1; 378550246; 652884550; 294213958; 199018991; 750047299; 605736375; 757742866; 526205; 499548425; -1; -1; 947854703; 639090981; 653982021; 779790813; -1; -1; -1; 861036185; 809470373; -1; 222748040; -1; 882160948; 133596229; -1; 391646451; -1; 522136341; -1; 903991757; 174522876; 811904355; 675366314; -1; -1; 7273017; 334813347; 349316871; 244975181; 56242685; -1; -1; -1; -1; 714757080; 201772804; -1; 319508917; 166427773; 567902939; 198729972; -1; 478256175; -1; 134384277; 524775163; 76056924; -1; 261690507; 879312557; -1; 281659215; 383744247; 380577197; 28008925; 521717681; -1; -1; -1; -1; 3213179; 889245955; 399063454; 966270310; -1; 331615769; 881140999; 179681967; 944863850; 257823304; 755854607; -1; 880278615; -1; -1; 380957643; -1; 775421806; 813745530; 743685073; 879045018; 170660393; -1; 452246145; -1; 202306617; 289649934; 292345269; -1; 103827322; 812175976; -1; -1; 946670891; 219527469; -1; 630306535; 684024881; -1; -1; 214149321; 187250776; 537831803; -1; 359703366; -1; -1; 397459106; -1; 84992769; 243611814; 466374814; 840291546; 817067451; 504592154; 952291281; 767022705; 945563203; -1; -1; 639634004; 63443882; -1; -1; 734344746; 12062677; 896812419; 410524951; 647435088; 44946808; -1; -1; -1; 246329625; 711445360; 678943154; -1; 443532008; 307788842; 128199329; 343495556; 555810611; -1; 586332140; 43622449; 195282186; -1; -1; -1; 551588492; -1; 924744336; 333141768; 601556780; 606454094; 756977779; 810568895; -1; 915233365; 462197875; -1; 59837075; -1; 325396747; 153124242; 800147575; 520077616; 368783692; 966003977; 78782850; 334866103; 946571971; -1; 325088960; -1; 541620246; -1; 421661696; -1; 904439880; 152978919; -1; -1; 899139034; 745003346; -1; -1; 700851992; 125818224; 749960143; -1; -1; 126459112; 898045701; -1; -1; 956328858; 676672027; 340952450; -1; 366662782; -1; 841294772; 884632965; 501868543; 150937962; -1; -1; -1; 207429817; -1; 991269099; -1; 657350276; 915194010; 420463000; 812251473; 496471763; -1; 726199738; 12919758; 995734382; -1; -1; 764241707; 904464174; -1; 860618352; 715088517; 163661548; 138928693; 532120063; 675596143; 220669158; 357997861; 528547928; 269085686; 81636394; 156862004; 398617698; 378817964; 3130242; -1; -1; 665371234; -1; -1; 759627907; 135504076; 131175312; 664596074; -1; -1; 480290477; -1; 557995266; 417311619; 872731627; 51338511; -1; -1; -1; 678342138; -1; -1; -1; 580368301; 769473431; 825772746; 631517261; 290790638; -1; -1; 282363333; 492055637; 903971984; 964967432; -1; 549275472; 79540841; 940995804; 58901402; 483618268; 619688347; -1; 45286029; 133504130; -1; 960843021; 998197079; 57730609; 375807818; 388566926; 155798213; -1; 909528374; 960976620; 751980443; 292461003; 273416956; 442718485; 306499620; 904404347; -1; 514825967; 631153967; 667416082; 419721146; -1; -1; 604951318; -1; -1; 28328557; 272867823; -1; 324920735; 256310112; -1; -1; -1; 735365077; -1; 134721149; 21035996; 959347017; -1; 722316144; -1; 364737592; 501917292; 202428659; -1; 430292995; -1; 164364260; -1; 492100949; 867626249; -1; 609402173; 29866383; 304383536; 147248148; 383126258; 423768043; 254693006; -1; 721996114; -1; 307954261; 806850286; 133117074; 156509394; 574921390; 550046603; 769453667; 909374187; 310751596; 221860492; 609960205; 48707960; 658073772; -1; 31072614; 277842972; 363435527; 205913041; 198110086; 254023325; 602747133; 85132713; 562154053; 387132804; -1; 719544725; 416867484; -1; 232924896; -1; 202338404; 310735225; 964122815; 778759023; -1; -1; 618049749; -1; 621190546; -1; 681126068; 269842897; 526488652; -1; 12453256; -1; 722094871; 439078638; 995278718; 302439033; -1; 288722574; 238979826; 291498914; 801749889; 110532261; 662796214; 754215907; 571627484; 400404343; -1; -1; 508668829; 474841235; 839930213; 675361106; 83632941; 486994267; -1; 860880723; -1; 189685219; -1; 738046747; 470112842; -1; 222820992; 119886406; 154378636; 939808653; 370096983; 379512678; 12515222; 878522268; 45821791; -1; -1; 687339532; 811697466; -1; -1; 140304775; 4707226; -1; 415810712; 754790623; 907377358; 627320814; -1; 639894360; 828986858; -1; 843173765; 335817440; 310543379; -1; 825782338; 796995331; 972398548; -1; 416497413; 755972265; 398825837; 100296172; 859867726; -1; 878157063; -1; 708813445; -1; 820211345; -1; -1; 433641912; -1; -1; 992918398; 632028217; -1; -1; -1; 669368985; 260851329; -1; 760386127; 431939992; 673502542; 641209274; 312585988; -1; -1; 163408078; -1; 80691093; 539471783; 868919292; 981290758; -1; 745325226; 698544367; -1; -1; 791064668; -1; 529211212; 99444459; 200538536; 162478341; 957414444; 533049671; -1; 101725150; 411289993; 766528192; 612171548; 899863180; -1; 602443623; -1; -1; 346386106; -1; 151304224; 676798605; 464137425; 776587964; 817464525; -1; -1; 487089592; 848384898; -1; 267742964; -1; 894250249; 693695484; 109394559; 273539068; -1; -1; 754165546; 416169479; 541335246; -1; 64171438; 610936708; -1; -1; 261161605; 273397525; -1; -1; 138512827; 23914437; 277939764; 350899112; -1; 277633438; -1; -1; 384362011; 32340936; 678420766; 929830220; -1; 914614597; 451111035; 386623263; -1; 479121922; 434153952; -1; -1; -1; 399039480; 833406426; -1; -1; 11237252; 395778328; 637797649; -1; -1; 136787002; 336578528; -1; 484661959; -1; 272276104; 604248917; 8809799; 722766917; 234843405; 932313923; 68878621; 525244811; 246829261; -1; 892953355; 14007235; 863802288; 670788782; -1; 863896881; 483346145; 622951907; -1; 563619445; 12935353; 965796276; -1; -1; -1; 880114016; 585845174; -1; 38992223; -1; 426728635; 380961219; 732929058; 216183013; 720092392; 999502406; 486675599; -1; 161510563; 451136409; 271155547; 249088071; 545035991; -1; 500027510; 278469727; -1; -1; 785206709; -1; -1; 656064316; -1; 566412534; 268897903; 739352594; -1; 301056421; 3399138; -1; 298550220; 496543901; 904154063; 413452589; -1; -1; 100988613; 189645375; -1; -1; 423860145; 12335009; 374248284; 560916837; -1; -1; 678688588; 470178556; 81675555; 234649560; 142361429; 731497758; 924059745; 220837310; -1; 622086021; -1; -1; 813064386; 45771480; 829899491; 617164299; 868634522; 128627535; 126191615; -1; -1; 811603229; -1; 605981444; 725987474; 909125141; 164089649; 923097493; 940912951; 654469793; 419498966; 904863157; -1; 6694469; 918989121; 642070534; -1; -1; -1; -1; 459939733; -1; -1; 487340461; -1; 601269615; 116167956; 154888230; -1; 869529920; 141465932; 159170080; -1; -1; 688263642; -1; 404426399; -1; 293179121; 931330095; 49086471; -1; 547454510; 133338711; -1; 203582543; 458945021; 747128414; 492479276; 285574585; 701709680; -1; 165232910; -1; 51732478; -1; 840742160; 95016870; 920365091; -1; 179213060; 814176912; 219743631; 679521011; 753320911; 54984859; 301656827; 823507467; 300990996; 418197346; 820549051; 884591834; 68040581; -1; -1; 831714105; 195079633; -1; 696167586; 967442812; 855445942; -1; 821031829; 576170937; 500157182; 89969556; -1; -1; -1; -1; 327851453; -1; 940440703; 608489903; 466270220; 132935161; 991330333; -1; -1; -1; 263047935; 952165128; 51913481; -1; 934995269; 132801309; 787593717; 731372755; 582064378; -1; 382306817; 113089980; -1; 36514120; 237485905; 575525113; 346743311; -1; 186033732; -1; 580753141; 235885120; -1; 189560013; -1; 821777494; 251802206; -1; 62698662; 588808198; 263339871; -1; 256744629; 736207077; 615257413; 559786306; 103085887; 957649688; 67607245; -1; 266193973; 464258226; 31644964; 62628746; 155967283; -1; 850117837; -1; 308001357; 380427959; -1; 411694687; 815678451; 587885522; 543724396; 586287604; -1; -1; -1; -1; 524607427; 459833804; 932527110; 16762249; 848685301; 667209155; 136029558; 390471248; 912018853; 777884706; 98295126; 632775973; -1; 676465010; -1; 1268948; -1; 898921803; 259278529; 164383703; -1; 639027184; 183820878; 431283115; 676973098; -1; -1; 244885681; 813102165; 751832263; -1; 802221302; -1; 831830797; 201884733; 400350710; -1; 339235605; -1; -1; 156701044; 729327003; 183643089; 795946089; 360927604; -1; 50536902; 975060567; 566913882; -1; 347360051; 904388001; 13040809; -1; 621055930; 936540899; 721956902; 467665241; -1; 436522070; 369881499; 180211953; 190423565; -1; -1; -1; 993173088; 791791277; 772888948; 526506183; -1; -1; 703155879; 787502546; 691140491; 321829820; 904353719; -1; 431960082; -1; 39129825; 149529284; 309486942; 204946903; 966916873; -1; -1; 705113208; -1; 944328453; 259325894; 727354878; 674259722; -1; 383040003; 945998571; -1; 21150806; -1; -1; -1; -1; -1; -1; 353284020; 699754941; -1; 165738653; -1; 597740398; -1; 560716012; 469411813; 195806310; 516253325; 91329586; -1; 893030179; -1; -1; 122245984; 402371622; 897189897; -1; -1; 46379140; 899481494; 32854777; -1; -1; -1; -1; 456009540; -1; -1; 137094094; 750816802; 844026104; 862067182; -1; -1; 144020078; 859240346; 18800238; 136476577; 682084912; 123763149; 528632523; 79261485; 191138891; 647015810; -1; -1; -1; -1; 701679959; -1; -1; 227836650; -1; 828279998; 185532662; 609079688; 525664416; 249460308; 847798613; 319164632; 467428377; 68468531; 720848677; -1; 938055729; 911941059; 516251193; 336091469; 232686674; 559047098; 32446126; -1; 27549185; 985888606; 699949757; 637817740; 492651174; 825759237; 487659188; -1; 579922850; 550573993; -1; 849156674; 910519389; -1; -1; 425288343; 660427153; -1; 675749685; 649456834; 758733817; 221750921; 939553101; 920399659; -1; -1; 389523577; 320974174; -1; -1; -1; 990051264; 116019547; 595855433; 646388430; 113768712; 312875068; -1; 871836467; -1; 770570849; 485555734; 824910812; -1; 367697887; 356524769; 243852297; -1; -1; 527644781; 940975493; 779714500; 563969087; 380056729; 287669523; 321731491; 46825086; 121713370; 498256314; -1; -1; 140917336; -1; -1; 912045888; 61553698; -1; -1; 369164176; 164516559; 847889326; -1; 986984365; 310157681; 674444542; 340839240; -1; -1; 152260419; 769413268; -1; 903426796; 536282984; -1; 921925325; -1; 736370501; 720042354; 214638388; 119097685; -1; 633961398; 619247490; 528324519; -1; -1; -1; 264769671; 663081384; -1; 263918892; 849465346; 585333654; 625549333; 516436958; 929510676; 628680582; -1; -1; 986560197; 903774194; -1; 845196799; 231379326; 401688257; 265705258; 386447715; 411644520; -1; -1; -1; -1; -1; 597867759; -1; 99729688; 559169351; 954035308; -1; 920985301; -1; 610640732; 753315047; -1; 644854821; 551536099; -1; 631895602; 120827697; 747377138; -1; -1; -1; 611295550; -1; 498139706; 576605833; 177449719; 135773623; 560872560; -1; 638663803; 927239474; -1; 890251694; 408954866; -1; 324602252; 376280082; -1; 823701039; -1; -1; 616234096; 389131114; -1; 503776455; 350148158; 4594008; -1; 896514527; 14003247; 879098282; 748036880; 626821212; 634476998; 371522719; 369074236; 2796566; 972262455; 570783993; 962572004; 506630837; 401149695; 297175874; 630736275; -1; 481369128; -1; -1; 785712686; 869245253; 189397880; 88189350; 582133594; 500626411; 832534628; 303589731; -1; 721216000; 411560342; -1; 417056714; -1; 37586174; -1; 761440880; -1; -1; 585095077; -1; 271512659; 816834981; -1; 631266823; -1; 276780661; 436415629; 937504395; 610017190; 169539635; -1; 290797342; 401491951; -1; -1; 354330567; 99166207; -1; 731863159; 41593909; 999917005; -1; -1; 96006925; -1; 104145723; 653663697; -1; 57859208; 231430183; 130310577; 597967584; 943307852; -1; 342132338; -1; -1; 49930106; 214047522; -1; 881369309; -1; 353030018; 599625880; 239558046; -1; 837161298; -1; -1; -1; 881594686; -1; 321211590; -1; 597397629; 607875861; 470908598; 267508083; 147311220; 254057187; -1; 601328378; 427064218; 504861305; -1; -1; 966025715; 540117020; -1; 591406988; 958049662; -1; 244136397; 21210279; 478799572; 728004110; 712276832; -1; 823397963; 242046511; 65911752; 364341667; 37220058; 468707780; 159002555; 26126581; 427563528; 753007296; 714671634; 343661544; 268331942; 476405665; -1; 256789736; -1; 933551269; 585859114; 988421106; 491006178; -1; 937403318; 429435419; 745139175; 548383112; -1; 217398840; 757822160; 690864790; -1; 113363716; 667516015; 772331364; 634066254; 620280188; -1; 39089688; 272551689; 689384510; 342315255; -1; 604874831; -1; -1; 873921312; 290279214; 39939564; 14653472; 873062195; 114483443; -1; 10323287; 204924779; -1; 788560357; -1; 731580901; 391658073; 112660962; 807751565; -1; -1; 314873461; 872312425; 396204326; -1; -1; 513028301; -1; -1; 357514032; 853857766; 714701068; -1; -1; 697621458; 900227264; 897825109; 125429362; -1; 39236078; 496348997; -1; -1; -1; 347868514; -1; -1; -1; 859901658; -1; 571850971; -1; 91508010; 847519362; 93044075; -1; 681597785; 791542460; 366156; 656179706; -1; 241798131; -1; 94776828; 961357871; -1; 719685195; 515572958; -1; -1; -1; -1; -1; 389773207; 835784054; -1; -1; 516017471; 516174544; 238803564; 213586544; 65938046; 108225681; 702661880; 534667700; 404762326; -1; -1; 167987307; -1; 524117254; -1; 350858083; -1; 106514376; 506201527; 158260268; 688245776; -1; 580076619; 925386138; 238743836; -1; 35271149; -1; 427266212; -1; 39981351; 46199360; 497455241; 696194256; 120165644; -1; -1; 814623057; 523999579; 260368802; 799507944; -1; 211227009; -1; 106267235; -1; 732914051; 599720769; -1; -1; 816608454; 283877609; 908167118; 685195697; 955107648; 818321846; -1; 199571488; 296771459; 139146601; -1; 295244995; 531713539; 220699411; 448201138; 421806628; -1; 772509368; 98227380; 365446167; 916781804; 9321985; 821025970; -1; 985426850; -1; 516328831; 856652729; 297072484; 60218520; 990886581; -1; 862434001; 95108222; 159087064; 409221857; 71051838; -1; 137516187; 606887437; 870030160; 622267952; 55595581; 221803737; 680578003; -1; 268883144; 396807954; 35143271; 624904774; 577707482; 867024807; 850912492; 3579511; 330676211; -1; 304462525; 449264319; 101922951; 510049897; 245939500; 686955631; -1; -1; 248375062; -1; 262306040; -1; 931037580; 619898676; 923505463; -1; 412212464; 358520528; 330287176; -1; 886752279; 624211564; 596908448; 791573145; 453563502; -1; 754519082; 688558621; 17287675; -1; 554801134; 279192069; -1; 956373933; 508927003; 128194057; 533519373; 464705462; 454146714; 638249228; 463338807; -1; 394030415; 783796496; 781764348; 635121717; 798094833; 392098304; -1; 586603083; -1; -1; 807856750; 678031528; 367007700; 333191997; 760100067; 622327961; 410418198; 810003504; 707951142; 137664804; -1; 972021841; 223723708; -1; 773210044; 493320681; 540572790; 229562460; 810033408; 601750162; 110748097; -1; 58942557; 770445492; 689310889; 322928431; 958963889; 363740047; -1; 294171016; 595049602; 393987414; 579041940; 751272361; -1; 831866427; 718928811; 43850765; -1; 739736135; 57166583; 861642380; 857886265; 709382032; 946847050; 131928104; 429488863; -1; 792995414; -1; 379345601; 842142446; 509712640; 661840714; -1; 95210204; 827450065; 870455106; 347795619; 136990369; 99050639; 362341108; 892384089; -1; 209164949; -1; 520457432; 486015776; 864332584; -1; 306792135; 101461767; 261678439; 336878340; 446851796; -1; 428177422; 15065542; -1; 424889861; -1; 110894455; -1; -1; -1; 317745045; -1; 920771835; 283101112; 305144775; 936382469; -1; 909441858; 729323041; 763142388; 704275532; 100569966; 97267789; 205683470; 49485442; 42342078; -1; 121786162; 390079807; 285894578; -1; -1; 83570854; 859513618; 734466432; 805000939; -1; 568114222; 47278878; -1; 455085765; 32286805; 378506892; 400080906; 297229463; 493249461; -1; 154878200; 155335461; -1; -1; 589619414; 407063182; 489617607; 677318974; -1; -1; -1; 317970679; 617401425; 582491911; -1; 441840975; 877052053; 27300798; 636009506; 750158626; 674447430; 873132060; 67050169; -1; -1; -1; -1; 9945065; -1; -1; 856732248; 155450083; 462479188; 667888921; 40187616; 209405753; -1; -1; 301503942; 306030368; 351514393; 348946497; 257322450; -1; -1; -1; 966870054; 589944712; -1; 475601738; 967602875; 77629945; 120315820; 241408639; 669191934; 439993587; -1; -1; -1; 439635127; 140847638; 173716212; 667200395; 851861782; -1; 524933986; 26548511; 976805660; -1; 300426678; 828842755; -1; 283496224; -1; 602809754; -1; 360237135; 107838139; -1; -1; 126022090; -1; 126484908; 597584807; 856009718; 393947865; 298050401; 910517492; -1; -1; 305987479; 967749084; -1; 698965607; 393875304; 185341103; -1; 55736525; -1; 679786872; -1; -1; 800958917; 786934538; -1; 775603427; -1; 727369646; 262440427; -1; 116006278; -1; 528531769; -1; -1; 489574816; 507394025; 423021276; 309836930; 590817463; 447597458; 778167391; 526084393; 564770336; 940942171; 968262011; -1; -1; 38865220; -1; 706128265; 756486043; 186552003; -1; 398219932; 663480243; 76488713; -1; 542252097; 671444464; -1; 344258064; -1; 675626927; 588311510; -1; 55132949; 466809853; -1; 527846270; 269414698; -1; -1; 704534352; -1; 714417792; 771730149; 628207020; 526620444; 503901283; -1; 687736701; 949116467; 168066075; 843130340; 721087837; -1; 395402295; 453432362; 668929611; 395258495; 189437495; 900209942; 824239171; 539277123; 524249067; -1; 790964139; 637640499; -1; -1; 264606866; 52108150; 972281472; 662025371; 256033268; 789066897; 29589875; 892562892; -1; -1; 242585468; 799918344; 882685656; 639843309; 767585918; 191187812; 338405219; 121127874; 610983115; 881628089; 6742591; -1; -1; 529387680; 640643711; -1; 718344569; 701851186; 878079392; 152116401; 84520839; 810064005; -1; -1; 633843637; -1; 977900437; -1; 469865144; 105566789; -1; -1; 397138586; 223126323; -1; 484977215; 618409470; 660927836; 345106803; 187545139; 256795249; 589472419; -1; -1; 490604026; 874887733; 125040753; 128839292; -1; -1; 675028629; 93701916; 233114536; -1; 557797879; 122401349; 181562109; 958951285; -1; 966839064; -1; 282700026; 301009648; 610306619; -1; 629946052; 578849585; -1; 492044639; 462276631; 90288671; 324972643; 372818743; 661185263; -1; 618541329; 945131859; 819385771; 969436813; 22178981; -1; -1; 702671504; 925538126; 385257977; 797079672; 550633744; -1; -1; 161224385; 723390629; 382389954; 115366406; -1; 940040649; 493396506; 240884704; 376493189; 468872959; -1; 354206174; 767944942; -1; 283628329; -1; -1; -1; -1; -1; 49786177; 569143201; 436139953; -1; -1; 273374325; 780731981; 576995675; 877853448; -1; -1; -1; 58024936; -1; 712149581; 863723324; 744270010; 251588512; 379275265; 12177630; -1; 72598417; 81353880; -1; -1; -1; -1; 583868959; 302039393; 160756481; 561718633; 215047039; 551233565; -1; 842406870; 118639627; -1; 472553620; 994840721; 693803899; 377362703; 960577533; 177836693; 576656765; 792480998; -1; 642586626; -1; -1; 639310788; 950906079; 898344090; -1; -1; 250920440; 661410142; 991919868; 11345018; 171079485; -1; -1; 385094816; 384717299; -1; -1; -1; 684804689; 179801056; -1; 331706345; 598972578; 879274177; 412834783; 345135595; 854020182; -1; 861818251; 10511852; -1; -1; 112720454; 390817216; -1; -1; -1; 285906404; -1; -1; 902175788; 278505022; -1; -1; -1; 36393401; -1; 572010487; 825749955; 280952272; 689767078; -1; -1; 678492112; 413051930; -1; 950126204; 12768468; 509583065; -1; 892409781; 511213840; 209034742; 691036330; 474615; 129472940; 379880931; -1; 18328975; -1; 827049591; 429736039; 535962121; -1; -1; 224711923; 579407919; 270805788; 543141914; 828366823; 343603598; -1; -1; 498941600; 593076504; 45430179; 745986099; 225531897; 632748600; 819183980; 774365126; 507641100; 593838682; 943093319; 74893130; -1; 871414897; 136529249; 559125038; -1; 244942066; -1; -1; 811534230; 135018822; -1; 191832430; -1; -1; 825916943; -1; 571218114; 182976031; 961273690; 277795158; 554647099; -1; -1; 423465397; -1; -1; 598620426; -1; -1; 570738493; -1; -1; -1; -1; -1; 356464900; -1; 45131535; 369397610; 469655347; 840852645; -1; -1; -1; 110732266; 534398429; 462214445; 49341837; 851098280; -1; 341728709; 958634134; 894558947; -1; 184986416; -1; -1; -1; 584600350; 862317186; 226451246; -1; 875632780; 631474616; 74499357; -1; -1; -1; 55304731; -1; 501327485; 775075107; 215698135; -1; -1; -1; 531020605; 874124734; -1; 456424981; 242894040; -1; -1; -1; 247320096; -1; -1; 272757237; 288878235; -1; 18843930; 643864022; -1; 154159921; -1; 955917966; -1; -1; 836028272; -1; 995583559; 530839452; -1; 387734181; 659209160; 922215801; 540686064; 650462220; 567274229; 58836692; 566267017; -1; -1; -1; -1; 666140252; 641792670; 593681120; -1; 648055505; 986115380; 470979269; 428857119; -1; 794829243; 997869025; -1; 745267687; -1; 922811863; -1; 829419654; 521169746; 11830170; -1; 548148413; -1; 737046210; 736598335; -1; -1; 10909873; 340622527; 218318642; 142372033; 602939852; -1; 465776036; -1; 290377425; 966938690; 752420107; 811732054; -1; 332113041; 184923240; 105811170; -1; 518010055; 735675586; 248917814; 564386842; -1; 450222849; 779218780; 421659335; 684344891; 812814792; -1; 142889144; -1; 13893847; 566195223; 995381447; 77182958; -1; 562271941; -1; 740288518; -1; 61803786; -1; 501496590; 661598340; 976696231; 330714256; -1; 885814531; 218520809; 33181435; 612307415; 854406433; 632885437; 470609048; 708272703; -1; 891556328; 406920532; 883512313; 724549334; 756196604; -1; 617833855; -1; 643577810; 839074926; 314707403; 256782670; 446887358; -1; 615135337; 665997215; -1; 394032744; -1; -1; 504373189; -1; 867710850; -1; 590331633; 458805643; 362821666; -1; 50472269; 639126595; 665610801; 675736026; 52200124; 884492569; -1; 447649141; 116932725; 239989343; 751739454; -1; 775320272; 730956888; 145914072; 368248553; 289100471; -1; -1; -1; -1; 228292463; 330635856; 529910432; 484059957; -1; 901530502; 963483067; 763269877; 617094561; -1; 298095486; 834468563; 896860277; -1; 900966575; -1; -1; 850039201; 603709129; -1; -1; 118877101; 592221041; -1; -1; 10545442; -1; 741527477; 827943509; 232405163; 458013733; 502881918; 166401106; 892141550; -1; 716988918; -1; -1; 531862305; 111944053; 283233622; 540695046; 661579782; 81105120; 927724187; 922726949; 773375555; 292910677; 439651814; 438263585; 765762435; -1; -1; 129947440; 171673834; 956905120; -1; -1; -1; -1; 907005714; -1; -1; 987724455; 749878107; 500474812; 788119229; -1; 776716510; 784857316; -1; 258111587; -1; 692619449; 892186618; -1; 684851776; 310685806; 152206888; -1; 27393113; 324728619; -1; 308098774; 773871818; 783723761; 304205280; 456659438; 877031834; 280281700; 216441506; 318127959; 581493914; -1; -1; 896371974; -1; 813564996; 48764815; 358797187; 541826458; -1; 571972650; 693908678; -1; -1; 555500610; -1; 780576426; 518328159; 491343500; 550642242; 838821006; 23441060; 417192301; -1; 430224758; 964326105; 272453170; 332953057; 508663038; 583184376; 111561067; 779512177; 847433036; 558109423; 364400812; 277069672; -1; 383496524; -1; 713988574; 324771902; 219594953; 259833210; -1; -1; 511599469; 992901469; 482033663; -1; 720298498; 617127606; 55471693; 540091507; 972349239; 459492189; 273952344; 136477664; -1; 598057635; -1; 390342235; 147397485; -1; -1; 919498453; 864529737; 465266061; 973192741; 567123905; 626810984; 272547662; -1; -1; -1; 197877515; 325679993; 82030759; 207813563; -1; 947781710; 162648861; 826638612; -1; 254127351; 618146565; -1; 593861759; 426134007; 519029647; -1; 565144674; -1; 892066374; -1; 950896555; 351081370; 753473298; -1; 263035976; 193675347; 626016180; 972473118; -1; 673791541; 13806392; 506163756; 324246522; -1; 279797857; -1; -1; -1; -1; 69392715; 859245683; 332801524; 590001895; 607257620; -1; -1; 805193463; 52138046; 505562130; -1; -1; -1; -1; 870046167; -1; 257300556; 537004074; -1; -1; 570561329; 642051452; 395280780; 794676338; 576625042; -1; -1; 563749370; 252272043; 357168999; -1; 394342268; -1; -1; 605005879; -1; -1; 21612427; -1; -1; 557858429; 99281406; 518974974; -1; -1; 378463606; 349296290; 969973650; 501429322; 19889555; 1243678; 639677760; 272964606; 825245098; 719608944; -1; 224513472; 432300080; 718861463; 345108895; 43430586; -1; 125310724; -1; 166108968; 138572091; -1; -1; 681112649; 193874515; -1; 313671080; 27983869; 104852132; 625244959; 11258418; -1; -1; 14432257; 682147619; 222769669; -1; 575912258; 154755003; 561242167; 250370062; 723985789; 636868620; 853448114; 201464722; 384001798; 418346288; 154688170; 609716144; 290986486; 107475365; 254042146; -1; 98282940; 789130511; 79213058; 608856496; 416345824; 52483132; 943430319; 729685784; 816389176; -1; 942291863; -1; -1; -1; 242087570; 292939320; -1; 150226565; 671549542; 507642879; -1; 468256944; 517186169; -1; 726337131; -1; -1; 492386807; -1; 787267071; -1; 849259820; 391323678; 880480315; -1; -1; -1; 260869595; 908855582; 788756760; -1; -1; 210868235; 149234664; 418893644; 640450282; 156884786; -1; 691580279; 536742593; 975443504; 281074050; 443428534; 539316763; -1; 534018949; 526629270; -1; 334861643; 150496734; 44925634; -1; -1; 194195882; 292664299; 497735165; 461752376; 525021402; 146987399; 121951401; -1; 606372608; -1; 721389256; 36431322; 158427045; 972382580; 550203913; 722094928; 761687017; -1; 708950621; -1; 232667108; -1; 17238057; 262017608; 217394765; 353829733; -1; 834887682; 450692780; 637342580; 233236747; -1; 193121793; 13927517; -1; -1; 723686161; 18701391; 304579004; -1; 550010968; 617120062; -1; 188399380; -1; 174948849; 349773036; 655653385; 77361520; 747381769; -1; -1; 370024371; -1; -1; 167475934; 63655725; 36870173; 970664030; 985669313; 481586568; -1; 811192369; -1; 648509200; 928071425; -1; 324845418; -1; 490960678; 67499450; 941861988; -1; 54168436; 801250527; -1; -1; 433329357; -1; 641801424; -1; 230583896; 646167379; -1; 346182750; -1; -1; -1; 831843742; 28749864; 12755330; 786288027; 989871125; 581939606; 598058029; 203722966; 206228068; 599221636; 637071767; 197052741; 488998881; 255280212; 354210160; 499250908; 254460867; 346546359; -1; 63425657; -1; 808816495; -1; -1; -1; 602189881; 498944349; 643179325; 595433537; 76655372; 355430973; 649877539; 164782191; 625483872; 921951512; 356161357; 302927273; -1; -1; -1; -1; 878146515; 406544298; -1; 999398623; 564243686; -1; 190255161; 541249726; 499398944; 949376910; 690951414; 974641078; 938450751; 401725649; 136781063; -1; 871682888; -1; -1; 276812947; 441561767; 536604145; 692335361; 686693270; 18523477; 292710663; 809234763; 883690559; 325718277; 35247145; 372126183; 24236077; 89522114; 245309164; 681226371; 204768629; 601106211; 464011325; 429711478; 56776016; 601098716; 350975798; 991216734; -1; -1; 92517673; 465381116; 59969627; 431303170; 956523230; 897135205; 429046137; 946525300; 657163821; -1; 955637665; -1; 454924775; 575159472; -1; 925001291; 767331902; -1; 492591812; 465152798; 118856440; -1; -1; -1; -1; -1; 226128739; -1; 157708937; 388041159; -1; 106530365; 882644021; 111663415; -1; -1; -1; 834071902; 489452082; -1; -1; -1; 705912606; -1; -1; 451106808; 726260447; -1; -1; 375666379; -1; 929856983; -1; -1; 654437586; 508254143; 705835334; 592276706; -1; 553769481; 409691231; 611866338; 519138345; 170064116; 569643424; -1; 147074296; 576244216; 104750957; 427277061; -1; 943811941; 270831298; -1; 776976827; 802784564; 404578159; 793543711; 569630436; 355523556; 579825866; 515602344; 281991367; 635846989; 479414227; -1; 13054321; 141242527; 386213547; 180656482; 478414610; 896056535; 122753849; 551178940; -1; 632023464; -1; 273881017; 449279533; -1; 685483048; -1; -1; 268238408; -1; 70901195; -1; 387873722; 995097854; -1; -1; 558942699; -1; 944616391; 829960580; 324453187; 175591889; 48229016; 339048046; -1; -1; 288315955; -1; 939083333; -1; 538971528; 778907651; 248717564; 421133253; 917689802; -1; 213555176; -1; -1; 992070712; 229692439; 574352667; -1; 553819530; 619786136; 786734973; -1; 180800306; -1; 60603914; 708940061; -1; 27785330; 660997427; -1; 268063237; 892807512; 590080411; 240996563; 196537500; 503350628; 328387972; 238932004; 465699685; 142398351; -1; 332793688; 538714328; -1; 687302624; 106316110; 199657128; 119692912; -1; 954382027; 371720367; 796245185; -1; -1; -1; 619071086; 2607298; 38202819; -1; 768749786; -1; -1; 712602987; 836203709; -1; -1; 477439160; -1; 762748590; 862844595; -1; 997015940; -1; 550018180; 216176330; 482631626; 219691805; 127276067; 870215112; 19360107; 817361595; 440169074; -1; 657515072; -1; 147093922; -1; 597755660; 186198742; 947607578; 395819488; 478144735; -1; -1; 68189201; 864383145; 830389759; 846129926; 179896009; 859936737; -1; -1; -1; 451681599; 570512200; 850483043; 945614347; -1; 285069070; -1; 277316807; 622578532; 269037195; 561082746; 353388662; 372437503; 509777418; 377521184; -1; 241705374; 621663504; -1; 585751024; 374369159; -1; 169809972; 520295531; 120761442; 785214790; -1; 474641734; 734984176; -1; 376403734; 554436960; 385256588; -1; 462613111; 216741936; 325186253; -1; 927066806; 217547611; -1; 684525858; -1; 31090341; 591020783; 656384003; 388672226; 957320967; 327344167; 665367864; -1; 526003747; -1; 447458612; 663136812; -1; 569822077; -1; 515515518; -1; 967053943; -1; 125278375; 736070279; -1; -1; 602085253; -1; 865619354; 710921593; -1; 693830241; 313593949; 65019639; -1; -1; 408331027; 356292436; -1; 467913282; 985501748; 620051370; 673389860; 535876596; 756822779; 684927353; 372020142; 682098299; 999106527; 167867894; -1; 540343405; 527731332; 603886210; 251773390; 58178521; 473388357; 120805478; 686592248; 632372709; -1; -1; 674772093; 704695810; 786355176; 154294164; 55118061; 524425465; 423052495; 984159458; 341894360; -1; -1; -1; 820435004; -1; -1; -1; 796810218; 785831662; 371714244; 652086956; 363694095; -1; -1; -1; 721740551; 821771036; 620810520; 925371693; 704420700; 548245126; 905023379; 47576364; 385895432; -1; 605168661; 634757649; 705156; 59875489; -1; -1; 299939921; -1; 383209548; 10970233; -1; -1; 559466232; 495143354; 804956446; -1; 740288009; -1; 855662862; 429633591; 714551953; -1; 340501348; -1; 323498065; 717627233; -1; 144287649; 106399539; 96150976; -1; -1; 601843458; 964336029; -1; -1; 307802254; 420691589; 908977478; 810686723; 295158252; 533559646; 484624228; 412762226; 397772065; 918832952; -1; 644821932; -1; 478122575; -1; 540694258; 84860531; 824859324; -1; -1; 12395612; 7517471; 715229098; 799370378; 610654635; 527373883; 368777245; 12600918; -1; 289404822; 894535682; 766706459; 803238060; -1; 880417769; 465364223; -1; 896237180; -1; 825314343; 21696266; 552876478; 429343303; -1; 754800903; 800949985; 900224280; 296589204; -1; 714213071; 133169544; -1; 513200218; 144198394; 503624843; 438934912; 381843140; 414421709; 421545513; 659448802; -1; 584978394; 611000050; 47198665; -1; 815728796; 63229873; 49551816; -1; 78899791; -1; -1; 661774241; -1; 654927955; -1; 620386503; 66427592; -1; -1; -1; 235702265; -1; 442779979; -1; -1; 489954351; 368683408; 843649247; 107534026; 188633845; -1; 140459660; 498720456; -1; 587907114; 975241914; -1; 552477128; 227554990; 494686935; -1; 153114152; 2291196; 559448112; -1; -1; -1; 947756163; -1; 829458701; 474688773; 142662429; -1; 61397173; 998205831; 167177341; 561924218; 714428917; 95805347; -1; 365478025; -1; 184544702; -1; 229638732; 679614031; 219383365; 760956481; -1; 345715254; 846387936; 566772733; -1; 802498689; 773349575; 444299169; 477554341; 231272239; 271362933; 589435625; 582796241; 571732015; 777663000; 324687652; -1; 261442891; 467232500; -1; -1; 735187586; 248642415; -1; 277518164; 159109889; 81686592; -1; 606232072; -1; 201251525; -1; 201659507; -1; -1; 750504941; 289056935; -1; 786065223; 239762093; 112488369; 699673236; -1; -1; 483287349; 684528970; -1; -1; -1; 68818503; 825132395; 948071372; -1; 589811893; 770019305; 86921773; 278711036; 384656985; 266247201; 757564681; 301516085; 960424306; 689533174; 189247702; 208409858; 686673899; -1; 393178966; -1; 412753168; 820201697; -1; 78247626; 820134690; -1; 1017705; 279459949; -1; 52511067; 191796315; 452914339; 526782596; 603157004; 244130579; 174773036; -1; 587457649; 740659916; -1; -1; -1; 914482949; 735834597; 184344716; 859812409; -1; 865886811; -1; -1; 338501006; -1; -1; 418407537; 892161801; 104348503; 115063458; 129626003; 758175171; 857678321; -1; 954789711; 674860688; 945625469; 474516678; -1; 499831310; -1; 308794239; 124643582; -1; -1; 72612411; -1; -1; 233945868; -1; 253220376; -1; 139014356; 373072322; -1; 736003245; -1; 644123850; 727954; -1; 996929601; -1; -1; 815325998; 984943436; 409417045; -1; 825189617; 143318919; 578999652; 373319538; 586320869; 504023287; -1; 69877398; -1; 511949753; 734184915; 196327709; 211308267; 706902776; 73405751; -1; 855856240; 480348494; -1; 383371624; -1; -1; 926982533; 201847622; 227301160; 573817807; 290212061; 983469829; 893743325; 472739467; 396658676; 976494280; 470291914; 313106068; 929577133; 255205434; 437348288; -1; -1; -1; -1; -1; 427211217; -1; 186188698; 671457307; -1; -1; 172885357; 867185860; -1; 429977338; 63564401; -1; 533435581; -1; 569315852; 345239767; 588780237; 597489089; 794180215; 748002760; 758443560; 568263292; 636917106; 290144585; 537904652; 853277515; 9980316; -1; 42587989; 155019341; 623747462; 997261874; 734494568; -1; -1; 786665718; 392958432; 301216031; 914586862; -1; -1; 391546384; -1; 63004389; -1; -1; 952427908; 91777739; 139685490; 909025778; -1; 797760936; 464718658; 249100462; 769515831; 485836959; -1; -1; 545935305; 449358616; 110951568; 114952245; 28942977; -1; -1; -1; 512496690; -1; -1; 995872296; 253510721; 280258273; 818312152; -1; -1; 527551037; 440016274; -1; 563589874; 280303232; 275427194; -1; -1; -1; -1; 746998240; -1; 939685542; -1; 362606829; -1; 308996119; 992933143; 694515501; 172813915; 1915948; 875380777; 736807577; -1; 142268138; 185042221; 146127497; -1; 262389121; -1; -1; 151220410; -1; 109703844; -1; -1; 610142026; 894441912; 68711000; 790664938; -1; 537336373; 330647609; 380176041; 514720730; 187222785; 50414337; 153558034; 45461489; 474330629; 164030805; 967146782; -1; -1; 571242044; -1; -1; 113994100; -1; 413345074; 299908175; 267251117; 79804730; 632074783; 29903193; 865513332; 324993773; -1; 886609775; -1; -1; 296700311; -1; 625479332; 191260879; -1; -1; 695359769; 821590689; 103897462; 851192588; 703875859; 575292136; 242547248; 260361038; 346718320; -1; 368520694; 371968104; 83907509; 205017515; 109081347; 422015642; 430426261; 913940960; -1; 171856276; -1; -1; 935714500; 480455494; 683057127; 450097011; 655462483; -1; 407661706; 223508824; -1; -1; 23259938; -1; 132787475; 244109173; 803612351; -1; -1; 134647698; 419441131; 760242866; 485124369; 499354715; -1; -1; 760583386; 678455002; 883111496; 454103252; 99888008; -1; 757930626; -1; -1; -1; 393060461; 229486997; -1; 728564496; -1; 556964432; -1; 148495173; 405250334; 671462997; 853024724; -1; -1; -1; 787254192; 456899000; 886214766; 361680366; 209267481; 772642700; 13082272; 980752285; 144581740; 85955696; -1; 316212915; 528129536; 557971579; -1; -1; 30350417; -1; 4784920; 630393067; -1; 229420706; -1; 408490356; 868124582; 860336443; -1; 163191963; 217104227; -1; 339114803; 382038434; 857152633; 469126401; 235418498; 87769497; 470460021; 471025986; 245198504; 172433160; 736429042; 171684203; 10995643; 331004250; -1; 16693000; -1; 775135814; 347906255; 705046357; 790511550; 826308634; 779457790; -1; -1; 282310655; 590401626; 341064155; 71146439; 343510852; -1; -1; 919221710; 987424759; 572776059; 608344650; -1; 106091953; 996309084; -1; 580707372; -1; 481255791; 904400952; -1; 272659716; 628139753; 523297204; 311082285; 844473255; 337762947; -1; -1; 829943162; 792129454; 969544272; 794878340; -1; -1; 955854445; 797339569; 530605639; -1; 279636752; 819637519; 964519407; 497045956; -1; -1; -1; 3149560; 291666354; -1; -1; 887373459; 989706856; 548997033; -1; 671285633; 692324395; 646267361; 512550607; -1; 460796133; 648958404; 369179986; -1; 285883788; 369836209; 641714490; 22759226; 510529212; 334702529; 443747998; 665321087; 764861344; 114704314; -1; -1; 421901076; -1; 434729628; 299914248; -1; -1; -1; 248377914; 741155028; 19730720; 614872566; 987699236; 548474018; -1; 794697561; 702365728; 289370271; 736659796; 238709374; -1; 659662407; 938341572; 280405650; 655684012; 426700999; 202040695; 358133003; 478455653; -1; 691594593; 357354360; 369443430; 381020446; -1; 225658575; 951226748; 432103612; 152294466; 680602889; 354624324; -1; 579599887; 838771968; 13072459; 910052477; -1; -1; -1; -1; -1; -1; 679274781; 162026931; -1; 895128709; 242999686; 707249032; 757210821; 729624060; -1; 86181752; 430996775; 370954916; 312526216; 148395625; 890807777; -1; 770840607; -1; 747544269; -1; 151533048; 357830397; 199793035; 230726650; 884755302; -1; -1; 345239288; -1; -1; -1; 437377304; 792006634; 844449539; 928178202; 268439349; -1; 350054023; 408548378; 969790385; -1; 868836412; -1; -1; -1; 545981057; 853662590; 651685719; -1; 261879591; 710608011; 17475516; -1; 753534893; -1; 844161575; -1; -1; 872617236; -1; 76496156; -1; 342939954; 609524972; -1; -1; 214289161; -1; 739225376; 959249384; 625116372; 122002731; -1; 846915867; -1; 928338225; 29400704; 490691063; -1; -1; 209912667; 544382100; 444505770; 795825224; 469403238; 972248916; -1; 863638441; -1; 705432211; 105489546; 507104638; 257883898; 816953695; -1; 807583451; 943842940; 664028447; -1; 22430944; 928197644; 847255222; 314845327; 511560193; -1; 102515471; -1; 698433106; -1; -1; 743704808; -1; 996562808; -1; 539804996; -1; 326822960; 673048495; 454413639; -1; 846102800; 102696466; 342344223; 627832083; -1; 755425304; -1; 146389547; 432384399; 770810807; -1; 362731123; 667646052; -1; 939365678; 33011386; 467000323; 821476480; 354985814; -1; -1; -1; 293278329; 493493912; 143398041; 5299568; 707526295; -1; 631824858; 110408614; -1; 346477569; -1; -1; -1; -1; 110190487; 734033685; -1; -1; 935686250; 90857652; 79939622; 762742252; -1; 173449924; -1; 496339245; -1; -1; 38360596; 446691803; 686870274; -1; 277336010; 251187449; 773676403; 433351892; -1; 58137697; -1; 644143527; 912852378; -1; 123067011; -1; 378836927; -1; 763738837; 243284500; 118717741; 650127690; 865163819; -1; 938411208; 243525227; -1; 694450632; 862367742; 219655633; 460439401; 333914694; -1; -1; 779781886; 229817210; 599867652; 338435728; 505352278; -1; -1; 16222254; -1; 438761845; 432433358; -1; -1; -1; -1; 391065208; -1; 982340996; 522811691; 690132608; 979061434; -1; 822936971; 858442677; -1; -1; 679975869; 562524140; 47510296; -1; 509856934; -1; 676086171; 705432999; 442762102; -1; 57401989; 793129647; -1; 202729094; 871462443; -1; 201520625; 280284264; 316047676; 939995625; -1; -1; -1; 30042745; 701704925; 965841540; -1; 294741872; 77759665; 951036052; 874745039; -1; 492205711; -1; -1; -1; -1; 338355441; 61934315; -1; 240224476; 4791012; -1; 535883611; 220033537; -1; 587160243; -1; -1; 946646897; 744077962; 177100810; 666733946; -1; 346383284; 451232996; 631931953; 643061886; -1; 928855639; 752934941; 214290984; 980587369; 380624394; 46962302; -1; 116249898; 366041013; 177430515; 608583962; 56133113; 527162518; 432696954; 929171723; -1; -1; 289875440; 377079894; 121412079; 690070146; 23944353; 33195363; -1; -1; -1; 641870153; 109918346; 988760418; 729632608; -1; 229178834; -1; -1; -1; 882378790; 36888140; -1; 167969352; 195522428; 149316845; -1; -1; -1; 148102657; 402024328; 41106021; 325843600; -1; -1; -1; -1; 666178537; 137795212; 697440822; 776829499; -1; 450729575; 294097957; -1; 237831604; 929984028; -1; 514742290; -1; 200791165; 647046558; -1; -1; 741321076; -1; -1; 588396790; -1; 517339033; 864171868; -1; 269901638; -1; 302858008; 574675211; 719483082; 177746576; 805160041; -1; 195680667; 757491717; -1; 340940357; 824192663; 104054590; 440629767; -1; -1; -1; 772302691; 702709306; 24172939; 146341414; 606110322; 305912457; 86759544; -1; 205887478; 779098191; -1; -1; 523987069; -1; -1; -1; -1; 162505341; 644487728; 184242202; -1; -1; -1; 324981984; 998937928; 171835912; 797024367; 908702223; 680359519; 67154530; 513383723; -1; -1; -1; -1; 805269843; 887917560; 399061778; 819120148; -1; 158453949; 541036485; 671821799; -1; 532895638; -1; 450993140; -1; 279308274; 642319551; -1; 641703746; 207404831; 313405647; 97162630; -1; 232660369; 280964353; 902081404; -1; 336476421; 850072462; 619235963; 928138168; 753933159; -1; 363108202; 97618964; -1; 871901606; 691978824; 770290960; 892971587; 607949630; 688357420; -1; 271363069; -1; 323775383; 700220235; 302263908; -1; 428297147; -1; 871073749; 763186579; 156363071; 240378174; 811277641; 923295205; 268535001; -1; 862422419; 606968228; 589639309; 243304519; 567371337; 587492801; 319505642; 602003515; 598161726; 77695554; 172061818; -1; 298291261; 433924201; 550964756; 537306132; 685933590; 768119581; -1; -1; -1; -1; 935799740; -1; -1; 911482503; 173660312; -1; 751903089; -1; 984799059; 487549352; -1; 289360444; 117867415; -1; -1; -1; -1; 679024120; 509817799; -1; 946155865; 507136483; 510161569; 276540960; -1; -1; -1; 464664871; 680314102; -1; 761058244; 335352356; -1; -1; -1; 699010968; 724722045; 520443422; -1; -1; 473871822; -1; 355064946; 95830197; 152816247; 494148145; -1; 903978635; -1; 635059095; -1; 990307517; 337922646; 901242634; 400291683; -1; -1; 303863995; -1; 567352028; 245652427; 44523955; 993716841; -1; -1; -1; 701536848; 830505960; 357206267; 851837221; 233088332; 839312162; 211895860; 940385134; 79074009; -1; -1; 358658708; 85869772; 784280044; 259398100; -1; -1; -1; 851168678; 664916867; 357021524; 124353235; -1; 967756168; -1; 515418793; 850275914; -1; -1; 101184061; 616819688; 907213486; 441535525; 840798735; 158564172; -1; 353617340; 546452380; 688184790; 523682727; -1; 743107030; 756427427; 718549419; 596836659; 688370461; 638791743; 322790501; 752956781; 21578535; 50542856; 843824076; 960974938; 851760892; -1; 854212882; -1; -1; 336450518; 777567788; 381932305; -1; -1; -1; -1; 851772167; 843004206; 463349677; 165417556; 647803765; 858923880; 713525583; 54380807; 587925902; 414649491; 63027851; 364751882; 14392860; -1; 1444685; -1; 652604796; -1; -1; 130765837; 507753591; 628130846; 755829279; 921582134; 994168698; 929972568; 945225165; -1; 577645228; 802710938; 844970052; -1; -1; 427470186; 433299257; 219426842; -1; 487903168; 326773245; 511697715; 372308242; 986424537; -1; 128017559; 401950005; 632090009; 826171853; -1; 93763996; 296981094; 984827524; 671346444; 436758117; 169900080; -1; 268669166; 850971415; 649138684; 415917698; 780319264; 809392413; 666507909; 239943884; -1; 449136627; 304195010; 44599961; 342007808; 281362599; 858812989; -1; -1; 754012780; 389099858; 401549105; -1; 97610618; 35339802; 394099023; -1; 434892368; -1; 412351727; 245042576; -1; 181056743; -1; 719472971; 164778204; -1; 990353124; 526080815; 81472549; -1; 923017369; -1; 975817706; 860943932; 596328345; 670320248; 930014440; -1; 353705585; 293269318; 928124647; 618357133; 416900751; 798576591; 245758194; 215837134; 948294164; 654627625; 389205095; -1; 519139714; -1; 937296089; -1; -1; 854972738; 868272902; 818510995; 766339352; 797715350; -1; -1; 302196821; 463394254; 910213685; 916764094; 2956538; -1; 871806150; 896922798; 425897096; 432904276; 671597187; 816659178; -1; -1; 342017385; 344712379; 96525346; 481272482; 285362806; -1; 524061161; -1; 407764895; 225593014; 479748174; 666928583; 68316255; 887153390; 140244923; 134200827; -1; 683939785; 709830657; 170526526; 471661909; 967107893; -1; -1; -1; -1; 378460841; 273549891; 931745142; 402480097; 452212258; -1; 585490115; 79756494; 516880526; 705143321; 201410753; 933958205; -1; -1; 429265767; -1; 68945340; 831969567; -1; 889343051; 738481600; -1; 456521292; 323345616; 527806073; 171646993; 780496270; 820944373; 873862055; 238061462; 627879180; 844071168; 180463206; -1; 237443563; -1; 857298488; 44896010; 274635851; 938296652; 956572439; 925239689; 72962202; 918075666; 128245205; 3942788; -1; 129775868; -1; 927430945; -1; -1; 127699023; 70044014; 968157375; 54991087; 318252802; -1; -1; 313932665; -1; 745447001; 148037005; 91564422; -1; 84412936; 768283330; 110702016; 445556607; 259437127; 889880314; 923340256; 608504050; -1; 391100524; 87191395; 871250481; 182069189; -1; -1; 72379927; 484822828; 796992358; -1; 441935340; 763574492; -1; 760845616; -1; 328616818; 247873386; 140288985; 613809067; -1; 611727076; -1; 792640810; 462861177; 650247718; 480067932; 287341824; -1; -1; 518160871; 972605276; 541205975; -1; -1; 761072241; 619597983; 100818869; -1; -1; 843811359; -1; -1; -1; 992566929; 875549122; -1; -1; 683872771; 631388219; -1; 23779275; 409701856; 720768669; 974053186; 517302025; 203458881; 879690974; -1; 395977531; -1; 291276133; 158150304; 252429951; -1; 754338768; 610334569; 115391501; 550795270; -1; 407350465; 431459810; -1; -1; -1; -1; 98746807; 448876909; -1; 723402654; 740235019; 941935522; 674074338; -1; 565161071; 132107403; 170802185; -1; -1; 315545711; 746105749; -1; 89861451; -1; -1; -1; 265512673; 603830279; 65312821; 285045212; 540631885; -1; -1; -1; 332436743; 269155619; 399713779; 171225539; 89689411; -1; 925364032; 307870514; -1; 643631616; -1; 23143171; 484381363; -1; -1; 566674169; 894532336; 257109261; 654175738; 525512156; 386270258; 247647389; 119133041; 50767448; 996927737; 683304090; -1; -1; -1; 856903973; 324318452; -1; -1; -1; 24882148; 690177429; -1; 403212523; 589662531; -1; 107426020; 457474679; 852759438; -1; -1; 358391169; -1; 879924505; 346410089; 99947077; 42296397; -1; 658785107; -1; -1; 185913269; -1; 271922445; 218402446; 534099394; 571456145; -1; 561622741; 529239142; -1; 630300775; 217112669; 50025910; 158703405; 956985648; 761607999; -1; -1; 341094129; 559522888; -1; 244865139; 528505466; 987667863; 597512679; 154936165; 713271154; -1; 577817500; 120709206; 238213018; -1; 567868747; 539217824; -1; 648888325; 432006093; -1; 363374891; -1; 636080736; -1; 755914805; 232358975; -1; 548016768; 510526329; 297572092; 634718929; 109259648; 996570899; 512120412; 641473726; 257657722; -1; 464175947; 655424585; 735837196; -1; 466767858; -1; -1; -1; 791011543; -1; 337018660; -1; 287707934; 217277765; -1; -1; 64724058; 914060852; -1; 759465245; 765460113; 363403970; -1; 719041345; 519385584; 705786395; 180431099; -1; -1; -1; -1; 662768002; -1; -1; 888467651; 385330960; 227040606; 725865009; -1; 548345289; -1; 91005540; -1; 785761817; 458455364; 199547246; 521571029; 171486396; 863603781; 11637798; 488182073; 401449727; -1; 756872910; 589481588; -1; -1; 291058218; 812768728; 301544589; -1; 409823867; 251306760; 941651727; 405287712; 330572361; 245863034; 448911935; 350197584; 249234248; 489758928; 919322229; 164517872; 789039232; 933273096; -1; 210553448; 394233725; -1; -1; 717674789; 170268111; 424192282; -1; 248153563; -1; 660608596; 510763419; -1; -1; 307998999; 393378813; -1; 836041172; -1; 992313067; -1; 909707649; 577006120; 666489591; 564680091; -1; 273581865; 246154077; -1; 228484803; 39347678; 177413381; 210816767; 985127686; -1; 976504255; -1; -1; 217135490; -1; -1; 976801428; 472485568; -1; 84722370; -1; 972556599; -1; 823039291; -1; -1; -1; 326856581; -1; -1; 963418770; 776458438; 961940932; 694871154; -1; -1; 734120384; 697073801; 380870774; 112895257; -1; -1; -1; 450003066; 181753189; 755974977; -1; 759885396; 598487102; 955485656; -1; -1; 750957878; 629913958; -1; -1; -1; -1; -1; -1; 516841934; 799570839; 302202959; 553055192; -1; 187869428; 788046717; -1; 263090710; 96241212; 592678326; 588573227; 711586248; 490396673; -1; -1; 624085142; 762110116; 942147803; -1; 330530323; 803400343; -1; 657341289; 557170504; 852039826; 887837610; -1; 72342626; 492118617; -1; 377937272; 354233120; 983210692; -1; 447227594; 980361467; -1; 84577383; 726686955; 399958596; 737062751; 807092797; -1; 376218195; 213923989; 856072157; 400961694; 63002846; 60377693; 494715307; -1; 407250429; 821814528; 583608094; 312104597; 490497973; -1; 10875780; -1; 70960342; 351896519; -1; 353120980; -1; 125434482; 599562647; 398698828; 710008086; 342955533; 240891153; 410432887; 963724723; 266398799; 514457360; 217991835; 503695458; 405889433; 182984889; 723202218; 643140418; 748362000; 881880356; 876910908; 331040588; 956473821; 202205795; 644412383; -1; -1; -1; 486584354; 989888799; 913862931; 390196104; -1; -1; 637339814; 761645454; -1; 921499818; 81647422; 165527678; 956749674; 249693577; -1; 275905273; 992368255; -1; 275392630; 917523304; -1; -1; 752340413; 764125599; -1; -1; 634438550; -1; -1; 484705193; 696529473; -1; 909642680; -1; 134917426; 937759758; -1; 112335170; 981498233; 283333982; 999315672; 502597822; -1; 691657433; 438979699; 864054990; -1; 344400755; -1; -1; 568607627; -1; -1; 509292808; 667013371; 850210093; 342580114; 940726775; 917247210; -1; 315160484; -1; 786123209; 938300552; -1; 787073269; 678615981; -1; 883562830; 856818948; 568325440; 586020375; 189778727; 385645962; 609091455; 319528491; 5680260; 34993159; 416414919; 925865620; 757272633; 273618672; -1; -1; 332078823; 221624745; -1; -1; 570965419; -1; 278485160; 797414895; 471385765; 407305282; 815459071; -1; -1; -1; 909442003; -1; 333570042; 434946387; -1; -1; 502737789; 729181627; 512085065; -1; 335491558; 906601554; 323247726; -1; 767521578; 34125748; 136682317; 127641613; -1; -1; 521985240; -1; -1; 603966632; 905836016; 176241536; 693744424; 141879515; -1; 865657550; 210801514; 593597344; 284822330; 152293923; 837141234; 990756666; 235266737; 600967132; 260557173; 405031076; 584640271; 572561591; 834325482; -1; 282081665; 986457897; 398878066; 208951685; 403399629; 520538679; 314014863; 39896232; -1; 689430033; 48121244; 155654298; -1; 733797853; 859748507; -1; 242135343; 974619431; 926055363; 254908297; 149075779; 102692771; -1; 578931480; 175825651; -1; -1; 463985812; 420674679; 378907026; -1; -1; -1; -1; 806085534; 886590283; -1; 676619708; -1; -1; 58915190; 508526054; 426188497; 288917225; 354798328; -1; 424283526; 815115197; 176008577; 669658204; 717719073; 815425279; 962336259; -1; 752966772; 675521066; 273317088; 376066895; 966272009; -1; 747525267; -1; 593613381; 304273198; -1; -1; 476067071; 984995093; 865825124; 389557229; 388315946; 138283535; -1; 784762142; 153070984; 508726548; -1; 907089934; 320344015; 644551180; 411580814; -1; 736291064; 401453397; 691581442; 348343100; 291144084; -1; 978409390; 340281819; 418017229; 87997087; 995850838; 100782147; 338738256; 616440745; 695457420; -1; 598148480; 721637029; 89833294; -1; 973539301; 408637916; 759916260; 621566111; -1; -1; 942396787; -1; -1; 732420897; 259528572; 356576506; 477949884; 662053842; -1; 696295564; -1; 365102342; 322101545; -1; -1; 709396065; 11556486; -1; 218276915; 421420360; 922428444; 868223776; 315208136; -1; 687498611; 801422609; 87513994; 858061946; 315138026; 703533698; -1; 65378401; 506858629; 987863587; 73549784; -1; -1; 270309189; 154807091; 246677942; 74085566; 573903475; 598304319; 702626378; -1; 407939617; 275841571; 923087580; 444566978; 657589822; 418243771; 38611728; -1; -1; 457643397; 605134356; 481828111; 49426092; 330377807; 694795525; -1; -1; 22800908; -1; 268529076; 192998309; 326853025; -1; 838049424; 364070209; 923278537; -1; 291829259; -1; 15673269; -1; 965865992; -1; 672197842; 714102206; -1; 513638778; -1; 204580787; 628606845; 895500700; 359594633; -1; 359917966; 353247429; -1; 912864335; 944271036; -1; 602162427; -1; 667507419; 359761051; 651452483; 430443852; 926903131; 94952383; 132910934; -1; 141098199; 236667527; 896800106; 170689851; 264316616; 668569208; 694998081; -1; 563479021; -1; -1; 19720212; 600001561; 427134853; 542488010; 147895280; -1; -1; 12469497; -1; 819392618; 542185471; 380957471; 123736958; -1; -1; 109070078; 920886910; -1; -1; 589256943; 368172835; -1; -1; 525616815; 964310989; -1; -1; 10132739; 72688748; 226208053; -1; 972127330; -1; -1; -1; 820609551; 298684329; 803314049; -1; -1; -1; 56219854; 31503276; 256751226; 249007925; 797591462; 186518824; 110981495; -1; -1; 41338817; 806715058; -1; 754880721; 483864034; 906109670; -1; 286156371; 24749274; 439315972; -1; -1; 922748739; 414443846; 916778699; 690090792; 166512525; 756739008; 525845110; 71304684; 197727644; 721333641; -1; 574866389; -1; 532105198; 466559563; -1; -1; 171235238; 273734094; 468054484; 628923729; 130279662; -1; 718866393; 592948485; -1; 817442978; 906964203; 883156884; -1; -1; -1; 382040871; 116866625; 532322406; 78985472; 767696048; 424917179; 202684802; 764435034; 299593346; 658414399; 354976644; -1; 375843983; -1; 227260056; 929814092; -1; 336267371; 457717289; 36658861; 499165996; 733401947; -1; -1; 576923748; 446145102; 437327123; 602904065; 802907509; 530029742; 699296188; 759072545; 326205107; 584104854; 119641092; 501630372; 126469027; -1; -1; -1; 86899488; 966835069; 815048153; 5746773; 744384124; 201045023; 746294407; -1; 510994569; 48835511; 589319716; 807096913; 341436671; 54077618; 259580326; 823852257; -1; -1; 286219382; 700067573; 601682914; 413280262; 748104794; 342776304; 826851327; 729738110; 160260392; 902352549; 846183350; 112542393; -1; 645283760; 122264076; -1; 75566819; -1; -1; 122279042; 857560708; 752533165; 960614436; 330853357; 719083208; -1; 829714923; 883375311; 592941242; 862587278; 761734171; 778156697; -1; 27837116; 106372557; 361041107; 356125323; -1; 996792543; 541787128; 707003863; -1; 526657053; -1; 811658241; -1; 922496607; 899232663; 676269759; -1; 955770513; -1; -1; 762147375; 744977529; -1; 827054951; 730295304; 16359816; 928342416; 809484967; -1; 51602938; -1; 145331401; -1; -1; 691613474; -1; -1; 412299012; -1; -1; 987465463; 140281816; -1; -1; 754804717; 868410531; 108855882; 166235082; -1; 148067559; 628856894; 116961981; 748033210; 454912924; 31820120; -1; 785671478; 219672831; 613333426; 783210348; -1; -1; -1; 829936348; 862402344; -1; 437781242; 984237945; 655653249; 354904670; -1; 574473084; -1; 550973502; 583433140; 933305113; 597112290; 125864889; 201316496; 587261472; 963230637; 731376772; -1; -1; 392125602; 297502429; 503744956; -1; -1; 714999291; -1; 976923870; -1; 512992268; 118567432; -1; 347980745; 68324189; -1; 774986126; 576682251; 468620198; 698141593; 722066023; 643277329; 95233828; 410997854; -1; 322047003; 180043521; 423797617; 773098677; 777629399; 710845108; -1; 127350750; 593382825; 305819748; 591035259; 518754315; 146863116; 56053982; 602233102; 184737874; 315664789; 236571766; 559436795; 262029172; 316867005; 274311566; -1; 874958376; -1; 534988174; 397609815; 475451877; 583275742; -1; -1; 599942814; 115835818; 88772829; 774889958; 503427265; -1; 938855334; -1; 238744513; 889530690; 635242851; 535542742; -1; 411096604; -1; 924209332; -1; -1; 864561711; 430821633; 295886265; -1; 685515244; 644560515; 766527551; 95160272; 390844599; -1; 559055427; 151839425; 931039520; 672264835; 635444453; 730846355; 120788987; 375749960; -1; -1; 862466209; 955656766; 419708993; -1; 411536842; 436743312; -1; 273201992; 338187981; 275677300; 960546786; 567817533; 774905352; 778828532; 598109896; 834383080; 542800965; -1; 449997059; 230949073; -1; 170449498; -1; -1; 25470702; 664681734; -1; 807861605; 820957490; 588616124; 491485864; 298441768; 541587448; 644722768; -1; 418785158; 341305769; 104579729; -1; 103956763; 862583651; 530188455; 680091767; 924306260; 137837122; -1; 696317904; 335427087; 852651079; 405521655; 822165262; -1; 640452994; 834522241; -1; 693112583; 829750916; 927302456; 911616218; 411415934; 166583854; -1; -1; -1; 319771199; 408016318; -1; 629282176; 807183774; -1; -1; 938823899; -1; 305577267; 889612003; -1; 297655297; 712593854; 876524843; 132580088; 579824258; 780730361; 403079482; -1; 257964578; 730447812; -1; 931434143; 579715175; -1; -1; 538434038; 309344531; 532492923; 578823796; -1; 98427616; 445573181; 208602854; 414103634; 466804809; -1; 752838369; -1; 810517746; 393842673; 26446526; 746618073; 154140077; 493832864; -1; 979724204; -1; 201073982; 414818503; 727480035; -1; -1; 527771906; 146695788; 393744699; 600959100; 831028969; -1; 30738162; -1; -1; -1; 583519749; 610154348; 265240490; 86192495; 361332228; 190226628; 995023500; -1; 903640842; 247511524; -1; 969873347; 390137776; -1; 702017081; 912929117; 799839907; 577507815; -1; 422772834; 241456360; -1; 848131514; 176595862; 637129313; 107154520; -1; -1; 107517627; 558815936; 600235782; -1; 801980150; 210514264; 403001121; 420390674; -1; 920214124; 247782973; 564150426; -1; -1; -1; 729201598; 605517079; 603869667; 263723128; 114949189; 168916262; 662828800; -1; -1; -1; -1; 274793103; -1; 656574588; 852928945; 575961282; 662475462; 290898869; -1; 48002544; 395806426; -1; 179627841; -1; 310915094; 609284388; 181414335; 421186029; 658602491; 819530920; -1; 1129078; 490801276; 174184377; 668438706; 184648175; 144580580; -1; -1; 3792685; -1; -1; 765990398; 638980534; -1; 538293860; -1; 421099095; 91413788; -1; -1; 54192695; 786259942; -1; -1; 465815986; 404172628; 221638227; 867647268; -1; 369674913; -1; -1; 785010648; 253976823; -1; 21549144; 100557455; 174917191; -1; 372824099; 555397960; -1; -1; 733848854; 709758012; 244376987; 296904217; 233223576; 814673075; 134020283; 28037216; 955112310; -1; 734509324; -1; -1; 301384959; 633700895; 236739123; 634325897; 630762871; 6757073; 24818529; 433282471; 562327476; -1; 523627370; 625436457; 866357731; 118167091; 682484930; -1; -1; -1; -1; 885563542; 999368845; 902247174; -1; 343909713; 254364884; -1; 336356768; -1; 850054303; 247485207; 295697876; 474437408; 918693813; 3950186; 375863711; 464376563; 240922573; 148407899; -1; -1; -1; 727176707; 598309748; 148827128; -1; 433370713; -1; 889513857; 673049268; -1; 713745478; 97095652; 319871174; 325124695; -1; 958721844; 34061151; -1; -1; -1; -1; 360360643; -1; 688847112; -1; 404752309; 859906043; 150315782; -1; -1; 715911706; 750083430; 725121191; 574192567; -1; 489574802; 770922242; -1; -1; 414222875; 451094840; -1; 367846479; -1; -1; -1; 749807265; 317992292; -1; 914147365; 817574672; -1; 997051808; 608888728; 585003740; -1; 289325712; -1; -1; 990778081; 678711595; 123048164; 197155544; 580320030; 2202641; 586512638; 67523344; -1; 962146707; 693883257; -1; -1; 720850607; 624617458; 104320487; -1; 355285204; 445150960; -1; 988115673; 161849262; 779003828; 947555781; 486972801; 325284494; 349864825; 386819540; 945772360; -1; -1; -1; 155725534; 654700379; 132544698; 938783185; 32659899; 119370214; 114166688; -1; 6915828; 647856402; -1; 888733338; -1; 381203330; 942374622; 514077131; 487190467; 108971278; 37732332; 972304640; 596178881; 444211968; 109115662; 15497107; -1; 926088181; 632432467; 225091780; 220224956; -1; -1; 246664150; 438091110; 397224776; 406462246; -1; 425489747; 457438878; 204019766; 401845518; -1; 510278282; 453176826; 376512543; 122494574; 437032324; 292367646; 857441451; 624473230; 661318250; -1; 57386657; -1; -1; -1; 466853929; 816943048; 308885718; -1; 592704838; 292870246; 279745055; 542527315; 88444851; -1; -1; 990615980; 747143703; -1; 943927871; 960095018; -1; -1; 919063775; 97165029; 963432539; 744880205; 333564138; -1; 243358713; 421907226; 564595243; -1; 720566055; 346103625; -1; 848917338; 438013501; 583082804; 106721447; -1; -1; 728785632; 314857026; 337254033; 78858968; 30805947; -1; -1; 536042474; 54161170; 220589389; 698710202; 87131770; 741462387; -1; 382920142; 684926724; 418315588; 227267086; 732867612; 487638395; 192649984; 519872347; 705915714; 289010369; 843106383; -1; 621994822; -1; 182322514; 830926987; -1; -1; -1; 757707353; 151924631; 797661893; -1; 124284781; 881510619; 337409745; 752232024; 592863434; -1; 2679995; -1; 262223015; 827743643; -1; -1; 410148674; 571296530; -1; 305541883; -1; 40921030; -1; 713948739; -1; 891241249; 953342216; -1; 557000413; -1; 922242147; -1; -1; -1; 791334499; 494877694; -1; 988384275; -1; 710205838; -1; 520126536; 691575770; -1; 841500626; -1; -1; 913789955; 596943019; 944139733; 346084985; 474548960; 144089743; 127447233; -1; 239522644; 268298851; 114254825; -1; 699463747; 850230870; -1; 555462296; 272182071; 728971098; 859470202; 265631951; -1; 429149759; 489570000; 286038635; 630086525; 742812893; 983064176; -1; -1; 258974042; 692364742; -1; 861252816; -1; 159162264; 986716019; 276334021; 995254789; 657479193; -1; -1; 816998763; 510945226; -1; 530057771; 307105303; 890889366; -1; -1; 507476375; 895372868; -1; 439074834; 538160060; -1; 69682711; -1; -1; -1; 585370437; 379373716; -1; 229596979; 458698656; 86669141; 78525609; -1; 741967867; 904063933; 41612538; 101480011; 887711036; 482804435; 892115580; 861090085; 507180079; 359861798; 787356367; 180229794; 445689187; -1; 737802671; 688976673; 780108488; 196016690; 130930156; 415096274; 281324819; 142266084; -1; 61992466; 806269410; 661120990; -1; -1; 227887242; 79888491; 701275832; 996562128; -1; 122067348; 776822920; -1; 810588405; -1; 790834571; -1; -1; -1; 482886290; 453876841; 212097811; 926651686; 776050861; 879838328; -1; 92757929; 646305167; 413913825; 146771085; -1; 435720667; 368244492; 774819498; 845603821; 974625759; 91299226; -1; 7574721; 579984916; 197634300; 595538745; 60365532; -1; 173552166; -1; 392082921; 670760388; 314140459; -1; -1; 309087825; 164911331; 44158636; -1; -1; 810391412; 545129945; -1; 955024128; 967222323; -1; 968874382; 598105983; 328079263; -1; 7432048; -1; 392972808; -1; -1; 600037737; -1; -1; -1; 202709502; 514246773; 898689260; 441764708; 722149963; 146438419; -1; -1; -1; -1; 149631213; -1; 14715010; -1; -1; 506489289; 384233616; -1; -1; -1; 856090210; 716866884; -1; 889217341; -1; 902150481; 99444723; 981220725; 976628727; 498378045; -1; 740730186; 158942654; 789949543; 386796782; 594535; 85740100; -1; 843747317; -1; 663539172; 135775450; 76229849; 388254895; 520895469; 742195939; -1; -1; -1; 643513883; -1; 65560436; 293612214; 919823816; 340567804; -1; 125484628; 696013946; 996512227; 12910056; 65989410; 465388210; 103962558; 581566022; 185184583; 357634695; 507836669; 518837838; 929276411; 516346815; -1; 877973393; 279160016; 262960997; 120112805; 516951301; -1; -1; 835049044; 201333167; -1; 628687184; 612716448; 847934214; 722250321; 361149050; 635291475; -1; 661586245; -1; 569696503; 455548655; -1; 794423812; -1; 671444579; 757558731; 141266698; 333296979; -1; 615875281; 731537124; 229755205; 248526971; 483983906; 494955583; -1; -1; -1; -1; -1; 509560877; 105974321; 302925111; -1; 805866829; 16817897; 614992939; -1; -1; 832832882; -1; 796116362; -1; 816332689; 874949663; 876050063; 812875000; -1; -1; 786100161; 880144286; 274707298; 478224844; 728290713; 562930395; -1; 444717461; -1; 992227262; 240777067; 605438352; 405887160; 355132002; 226070516; -1; 366010797; 55174365; -1; 324699519; 155504175; 156922717; 173817558; 394513262; 989117662; -1; -1; 153231606; 399565187; 727827686; -1; -1; 266778677; -1; -1; 290320818; -1; 913234730; -1; 946583766; 756128018; 142800844; 784327116; -1; 451052869; -1; -1; -1; 262597990; 211655909; 410804149; -1; -1; 897494688; 660108399; -1; -1; -1; -1; 3978446; 809052822; 460601040; 168933669; 702950821; 867350800; 728638680; 448803416; -1; 814097399; 948645719; 136493574; 683380733; -1; 359070715; 138130223; 258338728; 809097815; 165655149; -1; -1; 669889658; 930533949; 802637414; -1; -1; 229702253; -1; 464682478; 136367108; 914940589; 10816913; 153519324; -1; 98889335; 109045486; 996491658; 148726793; 531430317; 458044097; 782721612; -1; 903992385; 482551480; 990765656; 65520323; 134926361; 265675580; 138925096; 119682265; -1; 365149710; 272106212; 420182444; -1; -1; -1; 314688964; 265158800; -1; 701538144; -1; 648668865; -1; 418019135; 310216774; 945472296; 437094367; 785955472; 40815202; 211680240; -1; 335014651; 496601305; 414888330; 984858043; 573151484; -1; 423619525; 371386183; 358990969; 494566531; -1; 424441152; 13557963; 110983871; 125980410; 169822811; -1; 107666199; 316982267; -1; 73978852; 290037715; 800034965; 434963249; 383284258; 671997758; 833860244; -1; 291976996; 906261313; 810860999; -1; 919915285; -1; 120569379; 807835862; -1; -1; 194578408; 270663173; 362296311; 289464582; 753348886; 233144635; 733688564; 154623292; -1; 713653856; 482659354; -1; 962380432; 377663811; 119222686; 4594964; -1; 698724380; -1; 658633609; -1; 993380178; 334667907; 649360876; -1; 289968299; 338180050; 922952576; -1; -1; -1; 185918540; -1; 610300096; 637345809; 725021298; 242621048; -1; 368764303; 511292006; -1; -1; -1; 217419775; -1; 256741102; -1; 884560265; 526737158; 958269547; 722137099; -1; 882096554; -1; 232691155; 5608338; 98753992; -1; 863019337; -1; 806242258; -1; 167330168; 969641505; 803134177; -1; 153879053; 233601292; 57568215; -1; 602371474; -1; -1; 858822228; 282020758; -1; -1; 315073677; -1; 613328577; 370544016; 188308938; 25707036; -1; 317546026; 795071054; -1; 829218072; 743406689; 536538865; 458759321; 718836341; -1; -1; 175821742; 528863243; 128916837; 845251687; 566023015; 828331402; 898274445; 962047345; -1; 759605654; 727777837; -1; 214624272; 928360363; 995653407; 579209895; -1; 386369930; -1; -1; 522327071; 649991130; 909839540; 297742079; -1; -1; -1; -1; 48773593; -1; 253004694; 932437062; 190113696; 506715958; 648184345; -1; 808024357; 320857062; 137528809; 707914179; 801393792; 964969990; 898638177; -1; -1; 301555694; 91765649; 85877055; -1; -1; 613679774; 335608594; 822578714; 127823043; 348559670; -1; 264673421; 337881263; 972961731; 883380968; 89178697; 491787046; 187892437; 206808414; -1; -1; 757436471; -1; -1; -1; -1; 546994915; 333511152; 464406959; 852974138; 279198141; 9072900; 33748758; -1; 853674725; 246477018; -1; 640250362; -1; 902293565; 322246819; 447487539; 808036052; -1; -1; 651583364; -1; 431140373; -1]) + +let test6 _ = assert_equal 1 (minDifference [750354075; 333104895; 149585610; 913304939; 486884091; -1; 423409213; 619193586; 801032135; 23239194; -1; 960617650; 716568388; 454368596; 775346308; -1; 160838491; -1; 953206344; 528922884; 460852141; 789438249; 495190519; 762287796; -1; 895256185; 671333928; -1; 509490608; 45375807; 30748526; 45201715; 319337599; 305459524; 110103463; 415437222; 632683939; 807415592; 315902108; -1; -1; 386412863; 422717534; 191675962; 490771639; 483651298; 469143448; -1; 777708674; 568551760; 944851986; 768634633; 346180079; -1; 48897687; 11492079; 424165645; 724714816; -1; 800038304; 556233966; -1; 443551152; -1; -1; 657852597; 339792147; 264756176; -1; 591202430; 178507874; 863245265; 692740254; 571041122; 820448847; -1; 15048234; -1; 714128073; 975959336; 697135675; 107931238; 736438337; -1; -1; 647545167; 19589420; 726720414; 945260610; 359566994; 508867227; -1; 291035375; 354195654; 379918933; 14231756; 971529346; -1; -1; -1; 937135215; -1; 296020667; 314268656; 607989192; 692824692; -1; -1; 258206532; 278948505; 730402328; 146269497; -1; 927600825; 817150863; 203880242; -1; 487749729; 336535420; 242646779; 580015135; 661291099; 14497958; 438091043; 374515137; -1; 825329758; -1; 997438; 549989810; 231545722; 704253711; 61894509; 706670877; -1; -1; 100323418; 660879629; -1; 362981139; 701311619; 757211392; 432019754; 142831312; 841913770; -1; -1; 518180118; 192197812; 61801117; 652081046; 841953688; 590579855; 443306811; 337073301; 840489801; 573390284; 948586567; -1; -1; 951195659; 443870681; 742415060; 108738005; 273519060; 20194741; 76757136; -1; -1; 15101558; 139668628; 360688131; -1; -1; -1; 405901610; 31888203; 797024224; 971941902; 555764211; 306570246; 544030224; -1; -1; 444096767; 852360687; -1; -1; 332402522; 257494357; -1; 713593932; -1; 37021437; 793327639; 702066520; 593315312; 227271645; -1; -1; 700588003; 286212432; 586419829; 222517459; -1; 923341878; 264924778; 467114937; 524999435; 15069508; -1; -1; 766766332; -1; 279432189; 226271872; 850277791; -1; 894954363; 147005277; -1; 799161112; 423585761; 126929701; 12148437; 662736433; 703847740; 421864386; -1; 303861165; -1; 3505059; 627955267; 845914858; 984314272; 878415174; 783761631; -1; 623892091; 287794903; -1; 866845259; -1; 489176224; 934575336; 867137150; 869749387; 988817; -1; 481229889; -1; -1; 687241435; 634389314; -1; 48131765; 240189953; 189222866; 966200741; 73439369; 818620700; -1; 982502011; -1; -1; -1; 36689018; 791435649; -1; 328258874; -1; 998612506; -1; 391716054; 873505518; 467833288; -1; -1; 188421752; -1; 533631260; 557677902; 144144054; -1; -1; 640118945; 459949394; 238100375; 712072099; 443030912; -1; -1; -1; -1; 953848804; 783287336; -1; -1; -1; -1; 519976225; 434181421; -1; 135573903; 480053889; -1; -1; 198552093; 233249046; 77120626; 418969664; 423614790; 454564790; -1; 215052081; -1; 763497699; 673041746; 985641407; 849187599; 798920212; -1; 402432633; 721370438; 641427647; -1; 458968992; 540202952; 928310089; 252154342; 12455793; 697747332; 282600926; 139097985; -1; 615549972; -1; 744566208; -1; -1; -1; 662850577; 106648986; 587932569; 332930792; 656699169; 105436608; 577088404; 856277825; -1; 291881610; 550652832; 568239024; 770352970; 443942566; -1; 639330032; -1; 20721074; 208991011; 953138174; -1; 898949380; -1; 721044100; 448590842; 600747313; 462363354; 798782558; 875529077; 156270103; 597340205; 637730293; 333805304; 256310355; 30889384; 825909151; 752669278; 491366251; 101203404; 656890471; 289076131; 219843546; 930334747; 541090192; 292587792; 162011564; 37152022; 28272282; 729979471; 802781092; 761201204; 562258755; 557705877; 349312432; 482385039; 28609843; -1; -1; 201891463; 793322026; -1; -1; 946112315; 843096449; 812377714; -1; 507345175; 666077813; -1; 722427230; 894887547; 795281320; 296449808; 695190480; 678196712; 139702985; 643260614; 180444616; 838239613; -1; 698311433; -1; -1; -1; 535675103; 951232355; -1; 9626561; 620347530; -1; 209216605; 676342788; 79939000; 678785610; 471819049; 17164808; 878074012; 212114659; 217901083; 390786861; 327924944; 748583654; 48150951; 373676068; 284242782; -1; 806777596; -1; -1; -1; 557486029; 416711372; 656827237; 632923372; 866360231; -1; 773047351; 385941787; 463976124; 635721685; 45956147; 256605937; 285495877; 473808119; 799118708; 487725886; -1; -1; 376982869; 340886155; -1; -1; 734871035; 882374002; 633300897; 255709935; 296413218; 147532429; 219741926; 668934632; 568215810; 511769414; 67466; 273860078; 828479508; 853043798; 17436933; -1; -1; 865367859; 827416730; -1; 771130767; -1; 565550952; -1; 697649475; -1; 965071147; 849090481; 627931657; -1; -1; 205769109; 770764257; 247569857; 602162069; 112646521; 112965731; 855161862; 797577511; 352762304; -1; 905818660; -1; 554517391; -1; -1; 608707510; 434107482; -1; 904666592; 387223065; 171017980; 814739570; 542544871; 611002773; -1; 408050485; 952759979; 949574216; -1; -1; -1; 605047321; -1; -1; -1; 862675932; 463129576; 206416067; 517762724; 879866672; -1; -1; -1; 218767642; 140748632; 477472666; 714179334; 994339161; 547152318; -1; -1; 788061060; 829504394; 110623548; 618294193; 901445089; -1; -1; 821483952; 944996696; 938825580; -1; -1; -1; 908263320; 436846300; -1; 571880916; 886804164; 539432085; -1; -1; 306835362; 470423228; 46093320; 896807301; -1; -1; 208010925; 430774292; 392672418; 15525366; -1; 827023685; -1; 676998921; -1; -1; 306466277; 904903598; 165845036; 770434260; -1; 892162555; 766564505; 671196283; 805854473; 613140238; 733045421; -1; 870958769; 436796713; 807542616; 855636650; 420618120; 851353404; -1; 822487788; 18862516; 572986760; 820721087; 727717680; 529468732; 418525315; -1; 425334640; 937433740; 386513178; 105984388; -1; 827375171; -1; 427691325; 282125385; 523713173; 699132149; 974211565; 59995414; 287633500; 796182946; 723521899; 19174997; 847582730; -1; 641380290; 971867625; 590667840; 52725209; 735128660; 688930420; 893892921; 963822978; 933878988; 401264820; -1; -1; 948216471; 379860703; -1; -1; 188044767; 955787523; -1; 616000179; 217185936; 662950529; 321664031; 340261068; 404253707; 256350455; -1; 555985130; 399723792; 679495205; 625897476; 212895037; 261912157; 508617808; 10036501; 802066995; -1; -1; 255104663; 467743793; 428388511; 936223830; 751572182; -1; 536113077; 400008598; 720065979; 656648934; 166470276; 438933203; -1; 302709769; 642650576; -1; 406609353; -1; 296677455; 775247678; 520984395; 59358564; 73208163; -1; 732381225; 444949374; 403068988; 644124270; -1; 363698871; -1; -1; 35625601; 581938905; 583582134; -1; 138037244; 345108693; -1; 746443795; -1; -1; -1; -1; -1; 110356926; 51287992; -1; -1; -1; -1; 473789710; -1; 579482037; -1; 770228050; -1; 351695680; -1; 607851507; 249505476; -1; 262685777; 732588021; 5447358; -1; 911723316; -1; 387192321; 643279012; -1; 302534656; -1; -1; 453294651; 183892906; 216122066; 138952695; 742644018; -1; -1; 840635936; 997137547; 711662625; 287003633; -1; 820829570; -1; 644732399; 736229532; 432315174; 771798991; 283475163; 6855074; 29662979; 106632798; 144978703; 635654468; 826166366; 820825743; 57014518; -1; -1; 699737230; 525978255; 333327056; -1; 962107695; 793192838; 429100972; 981988194; 138619976; -1; 881892735; 490003640; 777904600; -1; 308713639; -1; 918936982; 96375201; -1; 75761825; 379426270; -1; 351950566; 367282296; 888953856; 865139070; -1; 291027995; -1; 269754590; 26255766; -1; 841549022; -1; 191037297; 103944367; 983353834; -1; -1; 491708922; 505714992; 367294561; 975460304; 393774254; 681278546; 188052591; -1; 577829113; -1; 668779; 610828936; 262817604; 705010433; 566054827; -1; 752615809; -1; 492454013; 293692429; -1; 610781428; -1; 920142205; 657343286; 535808064; -1; -1; 194717565; -1; -1; -1; -1; 463124855; -1; 374274136; 427068840; 848492330; 758125992; 656722101; -1; 638333492; -1; 228803182; -1; 440412624; -1; -1; -1; 564429328; 186971044; -1; 368359821; 132731499; 987433199; -1; 806074967; 573320952; 736902215; 411125324; 585302394; -1; 403812371; -1; -1; -1; 971474208; 693008351; 386663718; -1; 70894880; 833854966; 106630467; 977919852; 192929687; -1; -1; 260706598; 219969115; 48179921; -1; 514454345; -1; -1; -1; 428467592; 861922112; -1; 464641229; 482312275; 601649387; 314291501; 857137342; 696841860; 285371297; 719523237; -1; 336100322; 915616569; 580789430; 311214512; 928454783; 755345646; -1; 519517943; 483375174; -1; -1; -1; 105745046; 944563433; 257315202; -1; 215407877; -1; -1; 542227517; 924606065; 66140737; 105833010; 425484002; 68106932; -1; -1; 134970077; -1; 718177063; 274241218; 365909221; 255997653; -1; 115270305; 88207043; -1; 211574307; -1; 691031884; 512174236; 481607971; -1; -1; 469220356; 4627849; -1; 960117910; 16250651; 361258512; 779903339; 287542391; 440812924; 540626085; 559172529; 704236445; 884908520; 472055869; 697010982; 580130269; -1; 864816255; -1; 425634503; 17369772; -1; -1; -1; 893912459; 956909298; 837701818; 884008890; 880726960; -1; 600685155; 995414792; 116758441; 771008860; -1; -1; 579876401; 734660674; -1; -1; -1; 427129225; 23809459; -1; 130008384; 741341664; 29131661; 921216409; 517600299; 855715893; 764401744; 696279761; -1; 627772398; 175240797; -1; -1; 61367115; -1; 984678999; -1; 877616305; 571488045; 262541823; 746070267; -1; 904925412; 960212269; 257953461; 430831144; 237311733; 459270918; 826780159; -1; 853451881; 318567497; 900377655; 173306803; -1; 248075150; 412598265; -1; 201854112; 638325000; 536512772; 57507468; -1; 322729508; 515661709; 646561106; 164202826; 100442316; -1; 234618604; 210796932; -1; -1; 855995710; 298669687; 835808494; 81867528; 70434601; 648608977; 774281964; -1; 461352867; 589897246; -1; 272345520; 846908295; 925824497; 127469997; 715485919; -1; -1; 833100738; 708007578; 224135339; 330713043; 711480515; 892719838; 221189804; 229492797; 374737556; -1; 804409658; -1; -1; -1; -1; 473949326; 265298193; 690539182; -1; -1; 485880181; 108931227; 456749260; 676986283; 193580795; -1; 139141004; 176296091; -1; 696630221; -1; -1; 405629303; -1; 838157309; 972247761; 199753147; 118185924; 800155868; -1; 900662973; -1; -1; 923850164; 282959658; 984887658; 246574123; -1; -1; -1; 723477645; -1; 267348223; 118755819; 360168867; 758766842; 679139790; 389909373; 811635824; 365839008; 756838476; 652476124; 250237833; -1; 81135880; -1; -1; 871229793; 978301658; 199431078; -1; 307989396; -1; 705136478; 930677560; 147780599; 849413727; 198165153; 276925018; -1; 391790864; 362163022; -1; -1; 627342874; -1; 863088743; 644920104; 750726082; 209165074; -1; 448026701; 28481707; 985268378; 89619551; 386834524; 39026153; -1; 831018424; -1; 308265140; 993747400; 351061721; -1; 460644664; -1; 382233442; 121812234; 753764203; 646992960; -1; -1; 865219106; 144817510; 220763040; 112471804; 322901428; 963448303; 670367409; -1; -1; -1; 239304507; 806922611; 965757209; 492966680; 618115641; 578509822; -1; -1; 939898143; 298950396; -1; 679223493; -1; -1; 347745097; 402711770; 902828911; 175931967; -1; -1; 683655236; 856841745; 926922521; -1; 402301107; -1; 124488035; 523089174; -1; 898662342; -1; -1; 119019550; 740700393; 381758455; 508914983; 797546213; 800544027; 422397333; -1; -1; 297465749; 303074932; 962003897; 861579022; -1; -1; 300541754; 437156155; 55921672; 353595266; 840271654; -1; -1; -1; 796306735; 596706145; 808562593; -1; 162745888; 713327921; -1; -1; 618833454; -1; 29171227; 797898758; -1; 122525166; -1; -1; 586791531; 272464198; 6753662; 610250610; 337965106; 526881859; 829100540; -1; -1; -1; -1; 990477433; 789195411; -1; 803208641; 511077415; -1; 682042406; -1; 384727057; 618668751; 10585914; -1; -1; 280325842; 962681556; -1; -1; 127277983; 29170238; 322062291; 329693743; 705915788; 512387928; 45037026; -1; -1; 875655908; 505530765; 232761648; -1; 173174742; 912413804; 896119662; 729251521; 899227580; -1; 39844031; 627847231; 976523753; 332019405; 378414034; -1; 591375495; 967276363; 833672584; -1; 534729125; 106746204; 897208309; 226871715; 479119517; 897536012; -1; -1; 923448367; 586057931; 725097053; 5966449; 516992503; 741377839; 469198322; 611427099; 441404882; 865299064; 826982215; -1; 517477140; 569054790; 483063266; -1; -1; 258825422; 706896522; 16426698; 598014292; 829121394; 628434961; 767344476; 27572270; 486005887; 731802347; 325492852; 421012603; 524482150; 723011972; -1; 95932095; -1; 693544106; 569319296; 898792863; -1; 292665739; 322050938; 832249864; 957970521; 527124045; -1; -1; 104602051; -1; 731670845; -1; 137439164; 779641232; 931145307; 349033237; -1; -1; -1; 237988484; 497377777; 836031626; -1; -1; 988403096; 668308836; -1; 895724894; 365638675; 216111061; -1; 332444650; 158678387; 626950666; -1; 71439817; -1; 818832081; 826147219; 159777918; 807213080; 710362698; 147963923; 572142136; 407699692; 916303783; 986807105; 649426031; 502198542; -1; 37092997; -1; 147167743; 756688388; -1; -1; -1; -1; 981353250; -1; 228682838; 449402753; 661890742; -1; -1; 637321413; 16898555; -1; 145604192; -1; 724536218; -1; 637030353; 544898522; 72585419; 416940982; 844839487; 560486891; 962649268; 43698562; 36924304; 275327175; 706723482; 686914737; -1; 917532369; -1; 416478795; 939633202; 948450648; -1; 623891906; 791917000; 183170756; 812910943; 452980484; 970775972; 981903389; 927103729; -1; -1; 715982722; -1; 247916542; 353735488; 39664245; 787445634; -1; -1; 570836180; -1; 777866187; 81342851; 704409689; 856915013; 681433908; 71271248; -1; 118988656; -1; 967201910; 753187886; 319403112; -1; 783101313; 10409907; 707687077; 182628077; -1; 704083729; -1; 185643964; 885963505; -1; 87651731; 972359628; -1; 708999754; -1; 637985120; 47133065; 125999243; -1; 577618405; 804525174; 324260937; 468810209; 941883191; 369585036; -1; 268501219; 922855723; 880717927; 850270823; 428482330; 114280597; 197875885; 664903199; -1; -1; 908338293; -1; 740794911; 241916062; -1; -1; 170248049; -1; 877113010; -1; 923445406; 908856852; -1; -1; -1; 510679340; 150457514; 731098991; -1; 945766996; 741190620; 530190997; 953425430; 864608330; 829610285; 478044835; -1; 670637378; -1; -1; -1; 485847853; 56195261; -1; -1; 313243410; 833858095; -1; -1; 431201474; 128704288; 178581251; 675812518; 729459304; 539502012; 512094841; 883985687; -1; 725098305; 842691559; 382451459; 839599913; 825130392; -1; 668540943; 216287015; -1; 393319955; -1; 630349894; 119416819; -1; -1; -1; 434748664; 121171200; -1; 194672495; 58046221; -1; 669031497; 994505269; 307952665; 772027181; 507950381; 923506876; 532961037; 531631870; 391232359; 652962403; 982523988; 647194936; 266722041; 658398592; 700782408; 354830056; 731769892; 496161897; 19278479; 138535861; 456810365; -1; 414747567; 330395496; -1; 759230412; 202310004; 90227590; 877586435; 30806249; 436751945; 538364233; -1; 414436403; 711380544; 698122919; 122044876; 269660091; -1; 169532968; -1; -1; 501914885; 615922967; 598046996; 175043950; -1; -1; 128923162; 471354361; 993944067; -1; -1; 38254036; 822826910; 478856262; 676868350; 750037574; 764542833; 77923081; 919861779; -1; -1; 158920947; 60933070; 142226568; -1; 740992775; 603934409; 205912483; 336245910; 314063613; -1; -1; 140491907; 254600523; 789351093; 985153144; 750581140; 808516685; -1; 599388614; -1; 672959369; -1; 728255075; 528382203; -1; 238261592; 953125437; 466539267; 739466873; 968253890; 708802508; 408054272; 916242117; 567549192; 886158890; 922849320; 442951227; 358457920; 146896948; -1; -1; 314842719; 385187242; -1; -1; -1; 438489919; 459087512; -1; 463535316; 339204214; -1; 140760548; -1; -1; 231255049; 290771328; 481692191; 946957558; 201548081; 662369398; 837731038; -1; 225226527; 522096489; 141870674; 637025091; 958198750; 179540111; 529772779; 992242199; 756938124; 965238024; -1; 414247458; 665541124; 532007757; 80999572; 640920250; 382493096; 754919876; 781367249; 193078532; 571112994; -1; 53317117; 651878779; 780343443; 844841660; 136276224; 836280907; -1; 689534003; 955369795; 197702567; -1; -1; -1; -1; -1; 408017406; 298584609; 724396105; 515387955; -1; 949930739; 244211089; 35870021; 44975677; -1; 407212851; 260209996; -1; 229323784; 260222389; 683801496; 80681649; -1; -1; 350687380; -1; 963741063; -1; -1; 565917236; 650617996; 437828603; 228984967; 462704835; 525259863; 731955264; 27437196; 62666482; -1; 472740370; 863488174; 347093266; -1; 408038339; -1; -1; 155780366; -1; -1; 278112408; 686281155; -1; 305187190; -1; 984683792; 652375441; 124382083; 809450511; -1; -1; 699556805; 125980680; 860106091; 499079983; 449436807; 640886442; 427936789; -1; -1; 961926724; 797820910; 260667552; 184386604; 618080988; 780739778; -1; 650135028; -1; -1; -1; -1; 717433620; -1; 665824804; 800360804; 785178002; -1; 73068862; 74202335; -1; -1; 273560890; -1; 669754308; 756579719; -1; 499911658; 489852592; -1; -1; 442127650; 9704780; -1; 175384821; 102215764; 477505882; 708848908; -1; 676294290; 672062132; 326913525; 98956421; -1; 762220915; 26800616; -1; 524097887; 78127206; 342153920; 256376961; -1; 921214262; 863029912; -1; 893093382; 520967740; -1; 626171527; 635561361; 342251320; 112727468; 27632903; 57234649; 856215379; -1; 272920752; 518079198; 372817144; -1; 356597181; -1; 248457048; 674743938; 844859247; 784270709; 153337399; 200019402; 208068253; 586329147; -1; 359435506; 205857879; 263962108; 825633696; -1; 256149900; 287658865; -1; 249767691; 170484002; 382656694; 649352932; 463153817; 421268136; 911888153; 33149582; -1; -1; 548301835; 571003132; 71559406; 210199914; -1; 502791875; -1; 858317447; 386550158; 124512102; 835258634; -1; 739436818; 667758187; -1; 506395720; 291331093; -1; 286569545; 479217907; 878487706; 888737496; -1; 19397431; 881993886; 239008580; 73108231; 249868603; 116678062; -1; -1; 264430479; 716754174; 85074312; 763597371; -1; 350011140; -1; 847274174; 963441691; 134209802; 545898460; 353933337; -1; 417084740; -1; -1; 805863709; 279486834; 995936378; -1; 632776382; -1; -1; 636627654; 623931975; -1; 435482931; 727330904; 448836666; 441720077; 145395959; 871566011; 500194788; 650624368; 55056607; 690125471; 470467945; -1; 998521551; 221231876; 418930738; 382813246; -1; 323840253; -1; 688746627; 204211557; -1; 263336498; 178976702; 755605134; 510808892; -1; 727105520; 867165783; 684525097; 809931809; 265590711; 517637727; 432478803; -1; 717020513; 401121786; -1; 259091820; -1; 579514074; 662956660; -1; -1; 388399390; 779733379; 353571089; 81755138; 217955488; 906604955; -1; 679648358; -1; 250906826; 12551832; 280593555; 230271029; -1; 342735616; 340592500; 884957251; 202479759; 627433486; 462157190; 176159316; 361001901; -1; 337456042; 902291263; 941610783; -1; -1; -1; 704529115; 241744431; 857966711; 261043933; -1; 206220646; 246060387; 979257642; 570782167; 595795401; 366810644; 340327460; 144992464; 530889850; -1; 20424616; -1; 775863455; 490431252; 540867740; 730973157; 677031664; -1; -1; 439035922; 608384731; 892956630; 133545049; -1; 639703873; -1; 386405226; 684059410; -1; 841991951; 554601623; 781954222; 46889377; -1; 240296276; 429065414; -1; -1; 378175459; 735260571; 194984113; 2146894; -1; 718735040; 822977919; 859131776; 826639047; 941723184; -1; -1; -1; -1; 34475419; -1; -1; -1; 231101754; 221658704; 423540860; 916071173; -1; 507118879; 978862853; 296348512; 5552742; -1; 926328674; 571804440; -1; -1; -1; -1; -1; 498732529; -1; 111520325; 351879607; 312270878; 938063125; 409970055; 520545092; 727840026; 908511399; 270993333; -1; 923769625; 396860615; -1; 974513801; -1; 74737388; -1; 336585823; 4944815; -1; 878971288; 210551578; 757223060; 78431043; 621482404; 740711227; 184978936; -1; 373797863; -1; -1; -1; 110716603; 44423328; -1; -1; -1; -1; -1; 231086938; 301185242; 76246437; -1; 516885674; 6143360; 510699551; 989030711; -1; 130855602; -1; 319769301; 742526640; 504028464; -1; 609447488; 290254145; 474079988; 769386330; 543998370; -1; -1; 279283099; 526136905; -1; 501591545; 788628171; -1; -1; 658755686; 603206354; 67885964; 69087376; -1; 957486210; 731452191; 330530331; 82160963; 178969606; 999877061; -1; -1; -1; 655451617; 368735677; 753512107; 371126723; 242311690; -1; 813982137; -1; -1; 228576867; 38992364; -1; 950014489; 434416347; 119669392; 614731772; 441672359; -1; 31840131; -1; 92489662; -1; 1849695; -1; 159984720; 38395317; 382303725; -1; 88418996; 726712381; -1; 488106700; 484003856; 10311040; 834237355; -1; -1; 277802386; 99322939; 746387384; 80744996; 507952979; -1; -1; 361314606; 80503307; 887277261; 489237999; 771030111; -1; 723114861; 869056748; 991293505; 115518878; -1; 971876534; -1; -1; -1; 523210210; -1; 138436945; 705886032; 419711176; 209874178; -1; 619662468; -1; -1; 389662252; -1; 899937668; 528665397; 61727489; 889774212; 835847002; 94366597; -1; 853238109; -1; 52675063; 888534843; 212677361; 979923001; -1; 326535249; -1; 336341347; 849156923; 100407815; 416218530; 844032012; -1; 203862480; 267649786; 858299815; -1; 227747826; 502915368; 293088287; 635309526; 702935609; -1; 26994251; 402240977; 696390150; 39076243; 816888096; -1; -1; -1; 234937373; 124272216; 394680510; -1; 66112469; 931256392; -1; 286067124; 664542819; 454019682; 597864897; 932252442; 863155529; 144270752; 161859795; 431314647; 909863078; 750740982; -1; -1; -1; 292472340; 217016126; 61384903; 468762231; 846790666; -1; 246412320; 71196452; 88195763; 130854205; 948352034; -1; 805114558; -1; 353842241; 584567765; 543674950; 301470357; 623632899; 411423333; 850440881; 210274423; -1; 254362593; 532106090; -1; 196179192; 406787642; 181839900; 737210494; 281882555; 527451255; -1; -1; -1; -1; 751117371; 384809182; 648084646; 938130328; 687295195; 716239065; 59948736; -1; -1; 673419592; 843895040; 401341035; 2986730; 309914428; 662302095; -1; 55289899; 653643041; 194853252; 793514697; 976219621; 863964685; 634328077; 151124429; 412082851; 641479414; 997592943; 717438081; 952053940; -1; -1; 239215869; -1; 163427197; 592407780; 28025149; 236195710; 227822811; -1; 480368300; -1; -1; 22374740; 800223353; -1; -1; 669219343; 946515147; -1; -1; 956551891; -1; 612736934; -1; 887957751; 461597463; -1; 122058814; 406778548; 645572970; 473937483; 288744806; 144999099; -1; 267435605; -1; -1; 570675525; 865370941; -1; 595152499; 41029823; 333623012; 622732788; -1; -1; 859780524; 133885337; 559500961; 716139606; 310793477; 728501283; 907694891; 140657956; 579916631; 716225273; -1; 185305124; 918354528; -1; -1; -1; 526409380; -1; 818417678; -1; 383979595; 902740556; 708590529; 339901618; 223480987; 382558516; -1; 529341265; 718278144; 41811185; -1; 6183142; 63654396; 420376880; 956455356; 495892516; -1; 958444690; -1; -1; 66139860; 254159442; -1; 374610303; 777452342; 234819242; -1; 55963918; -1; 281278518; 161173869; 138715310; -1; 775088161; -1; 635768556; 850847860; 90142381; -1; -1; 173767155; 874736589; 100179266; 604429031; -1; -1; 632518111; 532737987; 601891413; -1; 342187942; 25768234; 180349549; 578692023; 801568322; -1; 730457014; 348395364; 775939070; 850243978; -1; -1; 526157079; 526928077; 776649953; 635440430; 760672962; -1; 542351021; 70615693; 356215615; 66888804; 759173124; -1; 539073059; 364621720; 121252797; 70411247; 208235092; 511729843; -1; -1; 516882592; 326644454; -1; -1; 63953251; 859599633; -1; 973220759; -1; 858658817; 813755469; -1; -1; -1; 780105475; 365323819; 740885997; 965298398; 945074452; 858907480; -1; 779186610; -1; 865574154; 960924459; 222608943; 164903270; 23363326; 340871065; 695149976; 906664750; 358110413; -1; 73519291; 850400776; -1; 2423788; 753351296; 278348891; 496500265; -1; 280181446; -1; -1; -1; 875251717; 243564578; -1; -1; 532996890; -1; 473881218; 810461496; -1; -1; 143735678; 479890996; 265458041; 36893457; -1; -1; 114398674; 72949388; 347149185; 151142582; -1; 503753647; -1; 573480615; 127406764; 416793283; 817586655; 352106619; 698960718; 200533362; 264476248; 934734891; 834016929; 968475756; -1; -1; 124940333; 313987720; -1; 862607813; -1; 104669555; 273547136; -1; 863982108; 524398456; 92542225; 516350390; -1; 314055475; 763984503; -1; 502497596; 192829619; -1; 150762385; -1; -1; 125810751; -1; 261716868; 977704616; 874753260; 763435966; 8014525; -1; 68386118; 651354051; 51185904; -1; 420113132; 37684875; 7564044; -1; 28683971; 315178189; 288648340; 700166268; 344206642; 279584679; 972805149; 357802496; 251695339; 928393609; 434714647; 802222067; 281953828; -1; -1; -1; 75817195; 898519429; 930864070; -1; 213963127; 271525586; 980938969; 944282929; -1; -1; 758033370; 292802306; 937692615; 105989084; 724849075; 3906897; 832968926; 651015246; 157491595; -1; 452823684; 692325177; 78039419; -1; 674926193; 781072373; 444451178; 581511719; 563256610; -1; 703150739; -1; 58789002; 825267504; 786868605; 664826918; -1; -1; 705208754; 620640733; 309989253; -1; 366115813; 465143304; 913078133; -1; 167086944; 756326614; -1; 324473997; 372129366; -1; 409607488; 350395874; 606017565; -1; -1; 416949584; 190842304; 706908937; -1; -1; -1; -1; -1; 736625041; 936326908; -1; 310872601; 166982155; 273241182; 129777766; -1; 50965182; 29058376; 465662597; 728503503; 94497880; -1; -1; 586704737; -1; 966007569; 627877364; 122397848; 144288070; 205773974; 608650130; 413148253; -1; 626414347; 580396013; 139897373; -1; 745691703; -1; -1; -1; 332996341; 561552136; -1; 527172837; 264357556; 887934141; -1; 568020318; 897306876; 414245701; 476646015; 823645384; 43133107; 13666992; 656485240; 8331086; 630101695; -1; 666457377; 226455977; 101529662; 698681804; 830468408; -1; 137238084; -1; -1; 458330870; -1; -1; -1; -1; 899135885; 237113967; -1; 990824031; 335169182; -1; -1; -1; -1; 333075482; 624375084; 96354584; 940927438; 753429368; 211310971; -1; 271353173; 438538799; 228167582; 187263710; -1; 791575287; 598939494; -1; 677048265; -1; -1; 327898919; -1; 351894578; 342477602; 690170647; 247777566; -1; 478230522; 747917357; 653325774; 83509174; -1; 262768135; -1; -1; 195235856; 425966271; 514000923; 903064665; 320119194; 16750568; 971656781; 191669137; 883095783; 151598173; 619039788; 127115439; 723101034; 835075491; -1; 358290701; -1; 52602282; 885770747; -1; 209281327; 671664208; 246377727; 806082339; 605308468; 732847326; -1; -1; 454088579; 88965233; 196216453; 833187945; 359466155; 524581751; 308836639; 33963217; -1; -1; -1; 740469310; 27701226; -1; 417317413; 716321475; 878362721; 533778149; 746793760; -1; 488224497; 499366645; 588366592; 595107074; -1; 712625802; 527453014; -1; -1; 571202785; 463750179; 734722552; 728314232; 969980448; 275457963; 895518567; 658050698; 693033910; -1; 374474931; -1; 46725063; 613076197; 850623573; 743142810; 936341455; 440290546; 85931518; 184407560; 741020584; -1; 716322760; 959727988; 623119764; -1; 527473590; 955709968; 695861984; 242480324; 764514617; -1; 811412753; -1; 49806084; -1; 572374686; 482994963; 617920415; -1; -1; 610933215; 744251732; 790202040; 884608874; 352277853; 20630581; 17217513; 889041012; 76900311; 643665774; 15668700; 340021134; 369286506; -1; -1; -1; 668736415; 120459879; 897765864; 330983384; 290507663; -1; 192825445; 518070452; 779796419; 728938404; 690897319; 897941303; -1; 858422114; 610738933; 548341673; 916464776; 125348153; -1; -1; 907239209; 403859711; 12835012; 653741274; -1; 351071233; 663734176; 274072066; -1; 370392366; 20461287; -1; 17922258; 307886580; 410470557; 648103805; 4796112; 359065949; -1; -1; 757240005; 961159001; -1; -1; 591917372; 163824651; -1; 925068158; 115515647; -1; 957807671; 998745540; -1; 259314938; 811081613; 393374808; 302790049; 614635575; -1; 128689943; 283455769; 802500961; 745775354; -1; -1; 326317107; 394271359; -1; 479736877; 383432954; 773451271; 801519545; 16362918; -1; 905634330; 501895784; -1; 368389778; 617847046; 195860519; 422104643; 343033902; -1; 443690364; 172108823; 856216696; 85671746; 792911189; 452691160; 388532513; 580363683; 488287625; 796014079; 790117548; -1; 868808154; -1; 549564588; -1; -1; 108163677; -1; 129807029; -1; 537742721; 351304162; 584024026; -1; 927007570; 755708758; 946006123; -1; 559880802; -1; 292314147; 143417979; 6835219; 668580131; 331220409; 557703550; 753978350; 753049991; 8008656; 106200001; 674569224; 419294051; -1; 198076649; -1; 735298647; -1; 546185211; 482935408; 858464188; 390618867; 614600846; 367504664; 323635918; 451422598; 666380792; 775433415; -1; 494745973; 178960944; -1; 896213834; 432610938; 194866271; 617470037; 390301485; 581088030; 897176070; 743248404; 100733661; 704410320; -1; 39628782; 574130739; -1; -1; 725948663; -1; 685112169; 137879462; 487107003; 814008; 276561210; 905937510; 834733220; 582847209; 970277444; -1; 453144720; 860869219; 889675510; 924488003; -1; 75238270; 877936945; 986495775; 911830887; -1; 389805423; 235588717; 118137941; 837006245; 593838313; 51913602; -1; 164140398; -1; 813411435; -1; 621461887; 341006074; -1; 365531416; 413878107; 207287131; -1; 494930861; 737139323; 847570735; 99327423; 382092750; -1; 902102511; -1; 889344290; 5056772; 149908992; -1; -1; 557536692; 455079439; -1; 524553987; -1; 762583173; 977325920; -1; -1; 423968953; 403522239; 536281073; -1; 679058285; 176726530; 25699106; 956502059; 678720964; 611895108; 421551376; -1; 982773066; 650479066; 21203487; -1; 771587049; -1; 827462477; 225885454; -1; 743324134; 19922189; -1; -1; 494986793; 920917945; 151656460; 228051698; 221522240; 910248829; 94828645; 199737443; -1; -1; 919312078; 132792180; 707286952; 405457681; 952247968; 509320630; -1; 571620181; 276308342; 724989461; -1; -1; 506971183; 355550432; -1; 53941849; -1; -1; 708120725; 971680542; 119186109; -1; 5335395; 302772339; -1; -1; 659892798; -1; 158127246; 804178415; 735350288; 433868158; 743980784; 455620705; 591939466; 668709549; -1; -1; -1; -1; 654118633; 302297326; 53446069; 266134849; -1; -1; 257224009; 212037142; -1; 721549968; 459185919; 94002221; 97675790; -1; -1; -1; 383004841; 298910804; 62391920; -1; 631452924; 674472319; 179330876; 731132960; 518913665; 798318329; 983071488; 337686499; 429379193; 458613278; 424746831; 441854301; 404082861; 353763212; 748693606; -1; 792625906; -1; 808861108; -1; 106684518; -1; 199366585; 830572564; -1; -1; 835689378; 753970385; -1; 108009722; -1; -1; 71111489; -1; 572284344; -1; 416449586; 61916148; 251364882; -1; 110077212; 516913210; 334477794; -1; 338199105; 994270455; -1; -1; 689706174; 398015822; -1; -1; 280489839; 374455817; 707035675; -1; 589764763; -1; 759588504; 386602417; 978806855; 120088770; 468666847; 291068706; 529815462; -1; -1; 695455749; 229608185; 400288059; 749535165; -1; 98515272; 752652375; 389598532; 597579242; -1; 625476362; 262405011; 562321587; 565640381; -1; 772982200; -1; -1; 186240108; -1; 215014979; -1; 108036954; 767692126; -1; -1; 290607954; 227670968; 335949545; 447419108; 563334023; -1; -1; 860814092; 312352376; 398741166; 553666965; 685634480; -1; 402000250; 76263466; 236482165; 335129637; 512890360; -1; 919248348; 975787044; 847081039; 975963119; -1; -1; 836250773; 452740856; -1; 211950096; -1; 519264535; 992349936; 849182180; 5209271; -1; 388812849; -1; -1; 282585826; 657543852; -1; -1; 533802899; 690090560; 384261743; -1; 836825756; -1; 49272206; 526091035; 353219692; 504559084; -1; -1; 346119215; -1; 631274090; 593965537; 193046942; -1; -1; 565401984; -1; 510766221; 815776156; 972742560; -1; 149465423; 785746910; 724375103; 619083227; -1; 352248391; 699925732; 359754549; -1; 287762864; -1; -1; 145299463; 733509954; 966792564; 779569715; 872159395; 536543984; 419260871; 886343651; -1; -1; -1; -1; 502746032; -1; -1; 812729381; 499712784; 559789959; 776766640; 853406796; -1; -1; 176713991; 963879416; 989373185; -1; 70569500; 11521155; 960723813; 228247294; -1; 603449478; -1; 60628561; 367922138; -1; 536874352; 921324455; -1; -1; 515999849; 556577767; 618535624; 95814201; 977820634; -1; 125600479; -1; 594101671; -1; -1; 848972609; -1; 491326856; 837993063; -1; -1; 292484826; -1; 943444164; 547893912; 649830136; -1; -1; 112735338; 490092861; 232464782; -1; 120220045; -1; 471546628; 451750229; -1; -1; -1; 728017058; -1; -1; 954213765; 36216334; 852256030; 704654381; 585316651; 202812905; 33731533; 935062614; 731169687; -1; 601103497; 113048423; -1; -1; -1; -1; 58367506; -1; -1; -1; 178636781; -1; 484072647; 150218572; 822765116; -1; -1; 17621399; -1; 82529669; 302706252; -1; 638937660; 415033742; 400291467; 585429395; -1; 80590645; 990734313; -1; 747217736; 614068808; 975882005; 307836852; 78446362; 896483061; 592758490; 54457716; 398750873; 755662635; 780474593; -1; 54755827; -1; 626440273; -1; 496231134; 802071275; 345240911; 716393282; 199168773; 521042942; -1; 106778749; 421114868; -1; 20459440; -1; 623267456; 379486917; 266183976; 900645448; -1; -1; -1; -1; 333285963; -1; 733108907; 138819387; -1; 704488820; 235051386; 88983393; 295788821; 579713656; -1; -1; 178918573; 721163559; -1; 992232614; 333102234; -1; 13956323; -1; 796220257; 736840924; -1; 285863508; 453761233; 367487409; 392998449; 558700358; 600524725; 64844196; -1; 291693367; 175100167; -1; 2247918; 106237640; 377330595; 766630018; -1; 425614669; 848401235; 593696259; 709974185; 487205617; -1; 702600462; 811212589; -1; -1; -1; -1; -1; 789115158; 185990092; 697457796; -1; 775443353; -1; 727603316; -1; 338047001; 185123726; 231134841; -1; 311791061; 532014902; 184310490; 75971686; 66076524; 804894053; 844739752; 606800589; 399751657; 695444596; 737981816; 622861715; -1; 933062859; 497802932; -1; -1; -1; 741513522; 302423620; 917312379; 134340806; 334382680; 718086348; 128464536; 611615953; -1; 445497312; 629743548; 733129717; 828179110; 890926438; 593791495; 864802968; 847413129; 717801190; 7361924; 382127315; 781794652; -1; -1; 275609052; -1; 668230029; 943926556; 853676195; 324459151; 226116076; -1; -1; 371965412; -1; -1; 692924348; -1; 505497377; 864145633; -1; 915023675; -1; 511455378; -1; -1; 577083606; 733892977; 585380189; -1; 43938451; 348629209; -1; -1; 756268385; 116502991; 601365824; 844522122; 647867636; 829012171; -1; -1; 651960203; 551288884; 140883622; 237940670; -1; 624815781; 602836737; 172252; 368805655; 413595023; 636307707; 195745154; 431457810; 769237298; 490131090; 740564415; 424065239; 643312899; 81189001; 732662965; -1; 790003667; -1; -1; 528570608; 810068593; 84643800; 979078337; -1; -1; 688120797; 922647479; -1; 236596286; -1; 268396540; -1; 301235393; -1; -1; 743939374; 256636860; -1; -1; 348413550; 393939999; 92878827; 164673636; 566696917; 703416152; -1; 47384294; 534926476; 508348501; 435626975; 893055608; 968120712; 241695437; -1; -1; 67191267; 488151671; -1; 497278599; 759033055; 526858322; -1; 712066814; 934111932; 954635628; 489607321; 334442436; -1; 980682593; -1; -1; 598758508; 943405399; 62774405; 175823084; 518008030; 198685991; 361792315; 269713402; 149040303; -1; 982004431; 989413861; 707243157; 12535854; -1; -1; -1; 814921805; 520814890; 572976685; -1; 595384847; 459914364; 543495160; 257385222; 85518634; 338288959; 917389509; 323373279; 514200512; 777766826; -1; 694483453; 139880401; 324691895; 552234279; -1; 679791838; 761639788; 302236864; 885243097; -1; -1; 149064289; 186934028; 222294783; 364550504; -1; -1; -1; 32954332; 151160339; 139643597; -1; -1; 793847703; -1; 277081328; 964243430; 790983515; 932610815; 164996477; 260316976; -1; -1; 957123747; -1; -1; 163856726; 105267049; 528919513; 193363450; -1; 189493050; -1; -1; 562006699; -1; 393672865; 524893073; 31574069; 774709718; 142831791; -1; 320103340; -1; 492464096; 949618907; 20881050; 82639679; 959173975; 340722616; 717014784; 768196961; -1; -1; 880999251; 900759545; -1; 368971994; 214209945; -1; 528919182; 562021687; 273967535; -1; 524600609; -1; -1; 544780291; -1; 176881347; 112118027; 736803394; 921359202; 338773461; -1; 944620658; -1; 627167008; 65321080; 838313981; 745635386; -1; -1; 570888905; -1; 933493652; -1; 814560759; 761686319; -1; 832697812; 992532277; 136951623; 813573920; 143796873; 725308575; 430839854; 198092526; 399205789; -1; 847024988; -1; -1; -1; 152883553; 662732455; 432121991; 121114178; -1; -1; 582625386; -1; -1; 936296205; 205176515; -1; 81794466; 22528397; 290649581; 968946538; -1; -1; 960061782; -1; 676825648; 434817084; 787702000; -1; -1; -1; 843439539; 999072035; -1; -1; 472077065; 402220645; 437787008; 659417137; 78088266; 548272394; 910553479; 341143420; 784799996; -1; 747476758; 728605400; 558827087; 990935255; 459594317; -1; 758727470; 248543071; -1; 738538033; 172131164; -1; 20369379; 828691691; -1; -1; 197384442; 458325198; -1; 240297176; -1; -1; 339795743; 581762208; 654320423; 128096806; 838286596; 287600832; 435411954; 717982974; 831050021; 891792975; 451765566; 639018267; -1; -1; -1; 444013027; 853470559; -1; 477913657; 598855207; -1; 757836466; 142461937; -1; 143140715; -1; -1; 118640428; 771906391; 884623420; 456989089; 255075486; 784123468; 571209829; -1; -1; 761211676; 676981748; 459958592; -1; 862726378; 841668942; 259188759; -1; -1; 196146719; -1; 578568852; 179914148; -1; 441808474; 518768964; 129974600; 384613204; 934796757; 2251540; 789916587; 573343717; 368514220; 17543403; 389753815; 147636763; -1; 678798730; 455047106; -1; -1; -1; 198098505; 142667577; 60204458; 896883045; 695243148; 301443019; 657194096; 669186126; 395915511; 643160672; 10842418; 945763227; 443818147; 234446302; 333442287; 531518152; 435317978; 784794560; 552617323; 458700566; 900562206; -1; 37922239; -1; -1; -1; 8276909; -1; 99126341; 130328403; 773063749; 564267847; -1; 729410584; 685042844; 75731147; 278483734; -1; -1; 507458609; -1; -1; 783501028; 305048629; 714419100; 100554799; -1; 181737579; 400475667; 11697223; 895204969; 530311707; 425035597; 139747919; 208606983; 243931824; 677932176; -1; -1; 942970613; 461531489; -1; -1; 970221706; 752831363; -1; -1; 8275007; 97741564; 908982110; 921836566; 465544774; 941604768; 85198186; -1; -1; 97993128; -1; -1; 144418351; 528867898; 740028531; -1; 337887310; 800750027; 346380457; -1; 571676878; 91185902; 516775500; -1; 203602900; 424200857; -1; 762171009; -1; -1; -1; -1; -1; -1; 691891472; 463702900; 838051103; 287744690; 790867530; 479090072; -1; 699554331; 624531013; 345208945; 54901917; -1; -1; -1; -1; 375296399; 405771829; -1; 745864927; 370625899; 997494908; 879013548; 339903102; -1; 470762405; -1; 579301924; 769492743; 352552192; 960988065; 677101795; 742456977; -1; 580716241; 584223154; 434249904; 646719427; 375073612; 885081549; -1; -1; 331229324; -1; -1; 488437380; 741034859; 304370544; 606940939; -1; 677061640; 606646180; 934404348; 579208749; 281640698; -1; 451570974; 140340830; 685018226; -1; 673063278; 659450264; 904376535; 297727071; 995904262; 940509161; 138252355; -1; 570507896; 491515969; 822725495; 468545830; 819201061; 229965986; 657283835; -1; -1; 934453562; 503488929; 918387303; 932909232; -1; 557048577; 133580041; 61574953; 705693486; -1; 828261856; 283112045; 813174773; -1; 233384619; 145698012; -1; 791315348; 119982802; 745477714; -1; 752722092; 99001534; 475730135; -1; -1; 773988257; 879341359; 135348375; 786398782; -1; 727480080; 701931782; -1; 174163641; -1; 721272448; 758991760; 909892632; 545329119; 733302230; 234521435; 221019697; 310858748; 628284574; 671380998; 446899675; 474855473; 155626621; 867599122; 329131852; 19995369; 101199335; 694808960; 458130184; -1; -1; 185959506; 512228744; 869737629; -1; 510319527; 521916320; -1; 905000403; 769044108; -1; 751034925; -1; 197277943; 533186096; -1; 968821390; 177865529; -1; 922749887; 991515530; 793055235; 865133927; 443999553; 534312087; -1; -1; -1; 601100645; 99676584; -1; 346606302; 935336492; -1; 672261522; 279578979; 869332792; 736868177; 36560844; -1; 631404322; 709777751; 51569134; -1; -1; 17111897; 693900844; -1; -1; 204544010; 50262745; 313681478; 582574188; -1; 31334847; 926190197; 625533249; -1; 747336326; 700886974; 298822541; 360349541; 53436481; -1; -1; -1; 998187064; 777807179; -1; 100940630; 803269571; 470734238; 212355888; 184744359; 374645561; 310297145; 52068273; 288328595; 723900481; 180867512; 563360225; -1; -1; 368108048; 574766887; -1; 355280798; -1; 336393521; 544698904; 800015403; 142205696; -1; 376579259; 285436367; -1; -1; 495101455; -1; 213933035; 502133643; 937269950; -1; -1; -1; 191607712; -1; 630151226; -1; -1; 173467598; 185690312; 61139706; 879191721; 997303486; 250753554; -1; 38661871; 519738253; 850738510; 697019212; 802384297; 424608185; -1; 584466544; 927881310; 655821441; 830565736; 230373858; 880526741; 373971310; 482102401; 244143334; 128416891; 179430995; -1; 120692117; 790403733; -1; 625858050; 467697955; -1; -1; 676102094; -1; 263424469; 202064938; 369966246; -1; 751694341; 239336915; 136745311; 283992997; -1; 60003024; -1; 275419457; 732339887; -1; 830510131; 629904105; -1; 766602440; -1; -1; 19697837; 24081413; -1; -1; 950455749; 379524479; -1; -1; -1; 496646966; 488251782; -1; -1; 540085388; 564288640; 804151662; 241929139; 240304140; 168769783; 524663969; 54363931; 68770912; 475923516; -1; -1; 348128297; 750158595; 121660187; -1; -1; 927183832; 192497118; -1; 771533115; -1; 858367567; 287789560; 814809888; 548594803; 993104688; -1; -1; 39181814; 992077075; 872936697; 529080875; 216565472; 197074488; 170753175; 576260096; 952650110; -1; 271054825; 261806636; 448163411; 978777050; -1; 118302396; 480359329; 95102885; 851683743; 175649821; -1; -1; 450864238; 630110485; 755100174; 558111365; -1; 466563033; 94917357; 367697140; 121857232; 980567544; 470033264; 931491210; 524239473; -1; 468558974; -1; 813705046; 360793392; -1; 365750996; 76482962; 264434526; 57814930; -1; -1; 533767328; 28840632; 395568421; -1; 169200444; 770192157; 607050725; 531327134; 500008631; -1; 420523831; 207417042; -1; 151173742; 69923509; -1; 655917417; 433026706; 118170250; 726297172; -1; 851124009; -1; -1; 167248642; 595412873; -1; 544806221; -1; 525857667; 5715875; 230959016; -1; 291426941; 930192768; 362551029; 891879792; -1; 762671730; 562779247; -1; 272329234; -1; -1; 443476188; -1; 308265087; -1; 207724822; 599057372; 413124002; 590504467; 616124244; -1; 119877217; 334029571; -1; -1; 722661794; -1; 95919960; 515060840; -1; -1; 804423127; 922861852; 502086439; 533410601; 849276904; 736304582; 44891090; 983316474; -1; 98558602; 835086482; -1; -1; 651188011; 334788848; -1; -1; -1; 899577576; -1; -1; 271050083; 179799415; 368116706; 739136362; -1; -1; 313200168; 724764816; -1; 93261500; -1; 25175256; -1; 577289996; 580863039; 54998394; 361758763; 449660139; -1; 640679472; -1; 103744971; 708412032; 293864150; -1; -1; 908869036; -1; 874350534; -1; 439398463; 723701915; 559053329; 309183180; 274650560; 897089794; 826931291; 43757509; 172232898; 847294101; 112204389; 39931206; -1; 24778810; 716669703; -1; 364429735; 509531284; -1; 60520952; 968610932; 275229194; -1; 466173141; 512092285; 989628694; 6521236; 662896914; 721525723; 451059665; 987065630; -1; -1; 655819029; -1; 600753155; 635410130; 851148793; 609066766; 897509911; 306468451; -1; -1; -1; -1; 646281028; -1; -1; 912475505; -1; 952280688; 887178235; 431158991; 143544590; -1; 518148163; 361053919; 690692888; -1; -1; 715283549; 855390224; -1; -1; -1; -1; 601062178; 296526400; 365038387; 591310007; 434266224; 856365664; 205153743; 25813039; -1; 409958655; -1; -1; -1; 534675126; 796682923; 255430120; -1; 631616972; 945910; -1; 502428794; 895297623; 41353220; 517189474; 802549076; 874803784; 919730353; -1; -1; -1; 786580036; 582212336; -1; -1; 757549037; -1; 995919616; 87270063; -1; 972569463; 893106091; 764184818; 573526832; -1; 237269764; 369346660; 73742792; -1; -1; -1; 931590775; 61351219; 473958467; 132366342; -1; 406594591; 233875169; -1; 406228170; 653632853; 325703897; 977900632; 521227526; 567661398; -1; 446708270; 284422999; 857337677; 298597042; 791690936; 140861430; 992340081; 504441833; 491975611; -1; 613183003; 624775624; -1; 821856408; 830570148; 226004748; 163741212; 50468191; 361963179; 267477224; -1; -1; 916510708; 683623218; -1; 138796876; 824133137; 880114834; 262096133; -1; 579716950; 90629567; -1; -1; 581908817; 651055803; 495206866; -1; 662702554; 338395370; 619828248; 284037842; 820424753; 748590723; -1; 746999132; 516740628; -1; 356173198; 854536498; -1; 464344985; -1; 731357285; 414257637; 424380619; 892992089; -1; 710673890; 577119408; 522052407; 418769274; 157428828; -1; 214974367; 997843001; 778002619; 469115137; 721110794; -1; -1; 104686605; 99198431; 874410683; 377370071; 541900839; 215809459; 918224104; 30244635; -1; 103548068; -1; 914437901; 185889837; 880208083; 546523904; 801852223; 272868971; 845357898; 444631761; 806019884; 966515261; 595078722; 891894535; 975763086; 810003810; -1; -1; -1; 845256998; 155764960; 534429500; 703668726; -1; 580240050; -1; 519939573; -1; -1; 621977306; 939746291; 147600076; 743234282; 615171084; 764291035; 534060097; 533792742; 850057638; -1; 213466001; 37403311; -1; 287312632; 518663723; -1; -1; -1; 141711101; 529651946; -1; 120522700; 779380422; 635541575; 194094554; -1; -1; 983166040; 353954990; 170947723; 222257701; -1; 756094953; 954601816; -1; 38523069; -1; 97997947; -1; 976445138; 141355924; -1; -1; 377104771; 839016939; 821123414; -1; 516713382; 94089491; 571473859; 771410296; 497853169; 955972393; 218434102; 669402189; 420968664; 356753179; 565510066; -1; -1; 666294807; -1; 495787980; 914678346; -1; -1; 649410725; 274757204; 729606936; 559066277; 395272510; 833875; -1; 393816935; 20293043; -1; 700976916; -1; 981914838; 5404006; 732255406; 476979081; -1; 938113641; -1; -1; 706240745; 852369802; 758623154; 134008384; -1; 653956853; 433815418; 548166772; 422179982; 689664289; 730604419; 826643943; 82138098; 171303350; 914747500; -1; -1; 811489148; -1; -1; -1; 459887787; 629005668; 278123155; 168406724; 197429193; -1; 156750847; 509165390; 183729013; -1; 563793062; 377557962; -1; 643262718; -1; -1; 518475680; 944396960; -1; 621916054; -1; 196641484; 938953866; -1; 412836508; 405949953; 766302959; 229939249; 102162224; -1; -1; 121455593; -1; 361313432; -1; 406472146; 965259332; 66508855; 179081470; -1; -1; 791015315; 530438118; 784852160; 992648331; 666321309; 659378323; 933357070; -1; 209692874; 178386830; -1; -1; -1; 50355487; 385167862; 395984444; 80594312; 135634782; 379720606; 109195066; 165930702; 867467091; -1; -1; 736988232; 855093272; 574127981; 168997670; 4763882; -1; 312491610; 134198319; 766572475; 59782025; 746169023; -1; 841756239; -1; 678017680; 730073762; -1; 162599502; -1; -1; 296707720; 748789407; -1; 181044839; -1; 336189983; 187586258; 733724908; 150384136; -1; -1; 413999790; 432489807; -1; 749938710; 776469513; -1; 165152974; -1; 145984676; -1; -1; 609949811; 553342314; 899476511; 2183802; 432729572; -1; -1; 296864599; 458692718; -1; 151643929; -1; 920667465; -1; 213494314; 716126741; 423548740; 23524354; -1; 64521824; -1; 770823307; -1; -1; 107040191; -1; 183295438; 978341341; 802948341; 478585351; 996297453; -1; 129905928; 990031121; -1; 30073381; -1; -1; 643688578; 557385048; 399810206; 693330151; 573115185; -1; 786258087; -1; -1; 939944202; -1; 203751472; 232390745; 573382635; 349519640; 906034205; 989589700; 696116466; -1; 417878740; -1; 367232640; 223632668; 796926302; -1; 425393705; 76763038; 592273469; -1; 989549092; 531062227; 191393165; -1; -1; 662543427; 354410493; 272943524; 389949673; -1; 742433793; 862244503; 134175550; 629272515; 194525350; 335053325; -1; 859362271; 668436645; -1; 244761743; 934941919; 631027276; 349190875; -1; 9200841; 995804300; 595757889; -1; 533022852; 641765079; 652998550; -1; -1; 277441306; 158711220; 793566856; 205315724; 351880004; 741904567; 169811104; -1; 778672775; 382233300; 973098265; 294380046; 811291170; 50447579; -1; 215228805; 709412220; 863224294; 329966307; -1; -1; -1; -1; 954758187; 842948775; 278954004; -1; 380228924; 281266369; -1; 169433853; -1; -1; 61052969; 600747674; 853450939; 614205129; 293472093; 800700666; -1; 947071619; 32681243; 769609424; 461321890; 115815425; 934943950; 455014314; 413747405; -1; 337746850; 209594876; 362680780; 568869344; 9041405; 225223186; -1; 135693421; -1; -1; 816647895; -1; 710465057; 850780372; -1; 920910605; 260483204; 449984324; -1; 206301305; 359484871; 686752250; 784748775; 247714894; -1; 981584752; 243976819; -1; 6929509; -1; 93316622; -1; 962132833; 400980809; 756519504; 993998963; -1; -1; -1; -1; 533065396; -1; -1; -1; 876864150; -1; 727617184; -1; -1; 294276651; 84735549; -1; 755976990; -1; -1; -1; 53920753; 240747181; 422787237; -1; 174235532; -1; 743748957; 3409250; -1; 512100295; 727815743; -1; -1; 148949646; 995399338; 38543322; 888541885; 397974071; -1; 302292869; 880541720; -1; 642377357; 755531021; 524990417; 410429959; -1; 850933900; 579679715; -1; -1; -1; 911223099; 924702199; 504148297; 170908357; 96889564; 715610803; -1; 800282919; -1; 720810860; 129400094; 657901170; -1; 850511285; -1; -1; 941790915; 583673157; 734304233; -1; -1; -1; 611815255; 308146627; 231851653; 879099076; 103390533; 551932562; 266157414; 563666767; 24138325; 498056969; -1; -1; 480856560; 627273258; 451757412; 538152586; 452513536; 630542999; 152177502; -1; -1; -1; 537597423; 78210641; 39895787; 290244058; 442728102; 821345655; 146566674; 790096321; 876851095; -1; -1; -1; 656731445; 432421179; 208471622; -1; 530485597; 951073056; -1; -1; 729105958; -1; 448101059; 237459080; 739543977; 978523728; 662204661; 249664574; 465486811; -1; 496520874; 672036375; 98902366; 933581648; 539314471; -1; 212354174; 887037585; 834203141; 91520592; 14090519; -1; 750597952; 811339737; 881985929; 880648062; 297262766; 673144182; 588318177; 730058686; 418660671; 370180871; 174684786; 167929497; 306768170; 698286521; 731865280; -1; 80631705; 118471035; 748064516; 37280390; -1; 69362147; -1; 610638169; -1; -1; -1; 838520970; -1; 647314126; 516560380; 925340607; 318204978; 397966277; -1; 118090545; -1; 104235850; -1; 210404339; -1; 641028725; -1; 207006410; -1; -1; 732618703; 472892247; 452095830; 870093939; 209566777; 625029361; -1; -1; 511869022; -1; 116504218; 904533365; 119368509; 995226011; 90542747; -1; -1; 314251559; -1; -1; 285623050; 383411916; -1; -1; 601469203; 698930742; -1; 739530145; 49358304; -1; 688097087; -1; -1; 430803773; 338967621; 361377599; -1; -1; 409986688; 204382228; 629381146; 967290467; -1; 364641798; -1; 432368927; -1; -1; 622808498; -1; -1; 373384253; 526886655; 144073063; 758774652; 765234186; -1; -1; 587195495; 902874170; -1; 193191288; 24867152; 600394192; 704631798; 148116993; -1; 194235516; -1; 607519339; -1; 187392263; 734353724; 851113293; 803352098; -1; -1; 452531496; 746104921; 669668613; -1; 718066729; 559650860; 284262396; 661017438; 266366020; 673257202; 862168728; 56898728; 83292481; -1; -1; 867281416; 595836421; 443111178; 443233377; 363801779; 983663110; -1; -1; 381673824; -1; 74230753; 58828405; 348852261; -1; 561437869; 476466110; 513649928; -1; 973101584; 738980222; 656950021; -1; 283282257; 626628924; 542044961; 837814616; 363149308; -1; 585392718; 370944247; 240873039; 628014168; -1; 797411205; 40796821; -1; 111955207; -1; -1; 867940556; 74654584; 944463698; -1; -1; 161736161; 765768097; -1; 308975068; -1; 385565488; -1; 169589478; -1; -1; 490080946; 717457099; 234546855; -1; 146377679; -1; 519365265; 315812440; 676506638; 952186168; 764626728; 430779134; 429905159; -1; 621242076; 18786908; 319099577; 388547220; -1; 288457049; 487316469; 193870209; -1; -1; 609093635; 793758078; -1; 876302823; 438630320; -1; 49260264; 916083159; -1; 596699209; -1; 600288251; -1; 919799887; -1; -1; 649218189; 856299613; 749350882; -1; 744912386; -1; 124776834; 721779715; -1; 755556987; -1; 585167014; 100612340; 200385147; -1; -1; -1; -1; 767292120; -1; 237636226; -1; 285887488; 707523580; 431320088; 429440919; 636796316; 626311299; -1; 586217532; 380577423; 714526664; 178111391; -1; 559285514; 884157243; -1; 829740988; 864708583; 122975413; -1; 574671459; 902176902; -1; -1; 696311657; 152065984; 61519724; -1; 233622719; -1; 594900684; 561725863; -1; 318946416; 734813299; 882847415; -1; 481366973; -1; 987800414; -1; 536639322; 145805708; 494752955; 327066039; -1; 82445536; 82079921; 636629246; -1; 421098901; 718095676; 869807906; 969468063; 763484116; 126386150; 561888032; 870314212; 226023266; 393813794; 813043019; -1; 473521084; -1; 75592620; 828898830; 94030615; -1; 476837625; 641343941; -1; 288871716; -1; -1; 303983581; 293368260; 335744517; 81805245; -1; 821546779; 301880159; -1; 194016410; 746314187; -1; 708943603; -1; -1; -1; 326993727; 702311249; -1; -1; 489274855; 869658756; 923952576; -1; 901053897; -1; 333642515; 464455388; 543885922; 323859872; 979465799; 858902715; 955234409; 204808385; 940523027; 161324673; 441610755; 680754469; 913171668; 489041127; 569755893; 666256200; -1; 919832952; -1; 853812828; 759502127; 787534666; 392593944; 542343726; 670159733; 886951343; 249130235; -1; 258926105; -1; 40089551; 581608368; 208047232; -1; -1; 150483911; 32280461; -1; -1; -1; 843431390; -1; 960759903; 359041478; 518980953; -1; 56145581; 667483548; 195342757; 925907855; 518282040; 5175245; 78104499; 482905793; -1; 338340060; -1; 627008168; 890165133; 577844490; 75616889; -1; 337526104; 205374175; 623490276; -1; 382287714; 873299250; 552561144; 326125719; -1; 776932166; 795167471; 695661946; -1; 181382689; 662544559; -1; 264459354; 58640555; 967865221; 581604153; -1; 438351730; 953695836; 991537347; 65441781; -1; 361467622; 683647010; -1; 102688025; 904695038; 992068727; -1; 394743615; 658533226; 755020363; 525113774; 671789125; 474674233; 72786035; 368742303; 190908663; 728055204; -1; 827027698; 282413646; 152539408; 531966889; 95132878; 172577508; -1; -1; 749652780; -1; -1; 101066659; -1; 922139530; 881551026; 419967553; 274430104; -1; 965007650; 548017309; 578105314; -1; -1; 78766266; 659886705; 906809202; 343874323; 791863370; 231667363; 162812840; 749255116; 386131596; 681804214; -1; -1; 112981796; 32246175; 866878265; -1; -1; 705943038; 486593286; 162636161; 16298654; 572457022; 529125201; -1; 268431420; 836308046; 490828873; 585916484; 104168493; 83475606; 342677068; 669160287; 929430329; -1; 266372049; -1; 151830971; 498792661; 402981582; 773802609; 381351564; 654661242; 269449643; 166063799; -1; 905014801; 677907529; -1; 539117414; 869433400; 821987158; 242488307; 908391859; -1; 657608847; -1; -1; 1249742; 620760647; 535342217; -1; 153884066; -1; 220822037; 677253817; -1; 387104599; -1; -1; 778900173; -1; 716350371; 41549756; 244520913; 568952129; 272473984; 366239305; 237439337; -1; 162875068; -1; 816753925; -1; 335288079; 747161425; 171816162; 394303196; -1; 692267875; 666777005; 585989460; 499122301; -1; -1; 193949883; 589407580; 19095088; 885552950; 828073367; 7072168; 222264422; -1; 941009577; -1; 780663651; 936127098; 861614102; 70995730; 499591627; 95812537; 961286189; 477137401; -1; -1; 737168653; -1; 814341238; 170295260; -1; 510583631; 950359835; 704062277; -1; 428627525; 46193454; -1; 421587741; 346847852; -1; 82853369; -1; 747857955; 155930417; 491478170; 576793755; 969276740; -1; 751310442; 782785897; 846548691; -1; -1; 345607909; 89287421; -1; 46152567; 757567413; 70410857; 419720333; -1; 873486555; 213072450; 727691928; -1; 166993618; 813464747; -1; 674938417; 105077430; 167528805; -1; -1; 162704931; 591744175; -1; -1; -1; -1; 966130630; -1; -1; -1; -1; 247782321; 439406891; 273946504; 61111776; -1; -1; 116260657; 229210894; -1; -1; -1; 292283777; 586199079; 922333065; 521491130; 554813871; 53966446; 202254426; 643176319; 236490325; -1; 854747032; -1; 53994662; -1; 239978326; 102233221; -1; 347697106; 975392657; 533445311; 586625128; -1; -1; -1; 459490988; 806861520; -1; -1; 42564600; -1; 72959863; 569167886; -1; 892815449; 925273651; 678056095; -1; 245973881; 545905098; -1; -1; 971398826; 820690497; 643566944; 527795840; 917605581; -1; 327581095; 427075501; 568297194; -1; 667352952; 144568107; 463742977; 297173418; 154621936; 547219986; 916966089; 149361596; 250750621; 701310091; 133126765; 101997136; 294982764; -1; 931795556; -1; 650356276; 22948197; -1; 677560511; -1; -1; 67667462; 384863539; 792843727; -1; 214011591; 530796358; -1; 901294431; 721556216; 926098481; 736843096; 798759740; 311157941; -1; 231760831; 589113295; 10127972; 38996081; 660273899; 425528871; 33311257; 794710296; -1; 653390282; 509310711; -1; 619809710; 87987039; 794392163; -1; 561306999; 843204949; -1; 733823061; 454243538; -1; 32579961; 733437548; 919493683; -1; -1; 277450417; -1; 617707253; 557434934; 372584710; 506619779; 144292243; 225839204; -1; -1; 846353978; 482841184; -1; -1; -1; -1; 650616696; 787836745; 611118549; 384620438; 879124482; 860833313; -1; -1; 274180456; 348507336; 490050336; 487570041; 361848977; -1; 593869574; 322984895; 166827361; 273167803; -1; -1; 169019782; 29141221; -1; -1; 762058833; 174006595; -1; 110101908; 503065087; 621481296; 133237081; -1; 534894243; -1; -1; 288604084; 258842031; -1; 438969739; 758628973; 932519077; 909984497; 870241848; 279117772; -1; 759581762; 302736840; 279219761; 969112658; -1; -1; 414695869; 223867550; 872092002; 282883834; 89817501; -1; 585621956; -1; 926559997; 665762844; 982228746; -1; -1; 66654564; 856517430; 753653689; -1; 368606575; 476630210; -1; 363371749; 657187761; 135726667; 914990445; 204052520; 789942619; -1; -1; 686465140; 786023074; 379409632; 68130813; 588883741; 789177796; 884432078; 655347502; 711166484; -1; 304593121; 987449808; 668683610; -1; -1; 683635797; -1; 385747736; 325181734; 379995194; -1; -1; 596181181; 579968688; 173469928; 796209465; -1; 501739319; 633058326; 650753397; 476881314; -1; 571010403; 334415011; 260116792; 614964773; 855565617; 635451514; 624026117; 506562123; 857442493; -1; 873005157; -1; 716847302; -1; 931822113; 28325008; -1; 270504210; 192151110; -1; 389147852; 670531390; 134222096; 19824763; 851261481; -1; 29525514; -1; 375877190; 879216578; 125758042; -1; -1; -1; 565403657; -1; -1; 424082431; 824683934; 400138206; 438087489; 33743362; 981645048; -1; 953807539; 971646063; 277416921; 417535070; -1; -1; -1; 878650240; -1; 217512199; 780895591; 25961804; 1622885; -1; -1; 430865164; 212780724; 462694628; 627357483; 576361386; 851494627; 376786525; -1; -1; 917096895; 698208501; -1; -1; 985219210; 76836857; 209530313; 447890436; 384972521; 572429873; 500520994; 569323654; -1; 254864056; 942937175; -1; -1; -1; 179448532; 133338637; 96835155; -1; -1; 922517929; 130337613; 52667664; 405567140; -1; -1; -1; 618873363; 182152371; 434879661; -1; -1; -1; 491698336; -1; 694571807; -1; -1; 215451281; 497484071; -1; 237954028; 437627392; 721736168; 740612922; -1; 623534740; 234825363; 353506759; -1; 318871871; 414781473; -1; 264896922; 699956311; 988161470; -1; 845559733; 604288074; 631412870; -1; 268538055; -1; 922326654; 695432285; 749137267; 685309386; 793801352; 785853050; 718470605; -1; 723212224; 751131615; 716109914; -1; 298976380; 664793700; 595210405; 724846379; -1; -1; 254131492; 171865; -1; 448713838; -1; 198626868; 555839282; 871300119; 96537210; 467785200; -1; -1; -1; 315641114; 507424338; 77021148; 545034754; 651140577; 257144964; -1; 525226288; 319290012; -1; 460317523; 765415845; 766409874; -1; 777984762; 111954126; 167991946; 642486676; 806725548; 843378967; 503165291; -1; 202210967; -1; 248046367; -1; 382050383; -1; -1; -1; 860618151; 999385471; 305563837; 637751972; -1; -1; 733947585; 766126477; 714661378; 284585933; -1; 399163444; 430437422; 706518422; -1; -1; -1; 321773713; 327431139; 854798377; -1; 443321172; 629390956; 817548587; 365287832; 260570278; 671508658; 872005069; 40991987; -1; -1; 141387269; 319767766; 215026851; 932971876; 978784044; 839502670; 64536107; 296670745; 390402354; 606614804; 824725791; 221681653; 726316678; 908265368; 797586770; 591972968; -1; -1; 286415411; -1; -1; -1; 790043943; 523418325; 639343217; 582511002; -1; 945183369; 188633158; 382928798; 236595809; 174026011; 214782147; 734670776; 292318620; -1; 518742403; 462494840; 81609080; 906847699; 497122792; 839184464; -1; -1; 477966938; -1; -1; 258326290; 438629434; 519743094; 682501132; 521331535; 949528896; 612298368; 555824221; -1; 434540361; 128110060; -1; 525110326; -1; -1; 522843306; 922104219; -1; 956324636; -1; 170242478; -1; 225607274; 753623165; -1; -1; 874421858; 888787577; -1; 775714720; -1; -1; 276273389; 734773707; 764137995; 402519941; -1; -1; 613282950; 889266594; -1; 26926766; -1; -1; -1; -1; 300968957; 537830079; -1; -1; -1; 309476201; 731986580; 204947349; 972404807; 992149377; 565003823; 284338839; -1; -1; 579041831; -1; -1; 288357470; -1; -1; 801297632; 480775640; 32236775; 355764345; 934617171; -1; -1; 86804137; -1; 565401474; -1; 30939829; 180111874; 680135287; 624106818; 88218675; -1; -1; -1; 456878171; 213897629; -1; -1; 293736359; -1; -1; 358547446; 119621171; 584700151; 483300987; 993750050; 83262960; 202786001; 232962016; 313403573; 53308790; -1; -1; 890675134; 192908175; 611007001; -1; -1; 637751612; 686182997; -1; 486129570; 249025013; -1; -1; 607323678; 796200858; -1; 371215343; 479559742; -1; 960993882; 253740985; -1; -1; 732497788; -1; -1; 688159530; 451160010; 103397129; -1; -1; 84814451; 116861591; 734052183; 210026241; 601397995; 429053870; 827602984; 317194309; 229221167; 126789012; -1; 852033630; 682139449; -1; -1; 400149329; 600178799; -1; 603956350; 59406239; 289149569; 998015874; -1; -1; -1; 746498375; 743165843; 985375443; 683271018; -1; 789992041; 574698961; 310044068; 705706044; 35290488; 995648008; 368993397; -1; -1; 562781535; 330229131; -1; 658744717; 690400009; 212170428; 669018538; 265297488; 70920258; 695335702; 396791049; 897619378; 465611712; 975754528; 296245448; -1; 547208304; -1; 239590360; -1; -1; -1; -1; 628822648; 187200815; 23552355; 836086279; 479969376; 761490360; -1; 417470838; 284284302; 112057261; -1; 809484017; 692210115; 26128806; 607639368; 251449472; 369817016; 356547747; -1; 162907988; 532494780; 516311261; 812578632; 804821291; -1; 290167344; -1; 613491263; 66994035; 413177307; 405953690; 961328655; 703146454; -1; 165124628; 241865857; 183269239; -1; -1; 35841313; 637633567; 121270243; 398813798; -1; -1; 842450152; 648212906; -1; 452746757; 552969098; 226577998; 898836068; 310328361; 80269877; 5816632; -1; 425175156; 290271282; -1; 219877031; -1; 992612860; -1; 665034185; 467970758; 255385177; -1; 989212381; 754826524; 870802756; 398909809; -1; 892528951; 538529750; -1; -1; -1; 278037220; 883578111; 765403700; 38817110; 314125680; 529636520; 475221458; -1; 349783701; 772992343; -1; -1; 210190623; 576571927; -1; 646016851; 833922922; 85346205; 1142968; -1; 899122993; -1; -1; 650903032; 682250875; 639441478; 271132948; 108262435; 948429649; 178453025; 715327925; -1; 665557738; -1; 263780688; 445809654; 167371194; -1; 186087510; 250787281; 851310038; 369376788; 621366954; 523641693; 673550617; -1; 885224367; -1; 910978969; 772540310; 995637420; 303566872; 322207106; -1; 374066111; 784794297; 344414253; -1; 873236726; 933732251; -1; -1; 58840888; 755642991; 354955639; 950252055; 255131987; -1; -1; 761832739; 13182381; -1; 205333929; -1; -1; 33559181; 936790426; -1; 772207403; 18321234; -1; 739970796; 439132282; 435128382; 516397778; 672793822; 984964584; -1; -1; 293307143; -1; -1; 869083534; 974280959; -1; 700570902; 591355018; -1; 462323147; 992276244; -1; -1; -1; 161503264; 121101936; 393509404; 113660855; 755504506; 128307964; 708574533; 27536915; -1; 321270115; -1; 123014432; 393074635; 541490225; -1; 217484259; 549996887; 4721628; -1; 721059743; 219406527; 204687554; -1; -1; 352051348; 884748329; -1; 348012994; 781981149; 834476813; 833733199; -1; 438496323; -1; 874665419; -1; 543159952; -1; -1; 774534470; -1; 429124994; 647635805; -1; -1; 486630451; 7237582; 381370365; 689415658; 15699977; -1; 98912; 994412359; 214410775; 853062562; 477258908; 676348893; -1; 251183862; 970489204; -1; 640002110; 327494989; 261209732; -1; 279349530; -1; 166784342; 418598044; 181464953; 106760835; -1; -1; -1; 384950141; 739608900; -1; -1; -1; 883195949; 624185155; 562449883; 286191174; 254021731; -1; 154701818; 755170858; 995446398; -1; -1; 245541122; 58405997; 374969527; 662831664; 762137525; 769802732; -1; 252224128; 835010821; 429077329; 602696559; -1; 270701513; 615556300; 425070936; 847155482; 422797744; -1; 309939050; 394421635; 332633262; 100571302; 302939398; 470856345; 860656114; -1; 555632157; -1; 45148517; 271247456; 118032356; 772998807; 204717794; 320869283; 366661053; 529218936; 406342693; 13108032; 700353088; -1; 953860788; -1; 520430773; 960479656; -1; -1; 128367381; 201848888; 897916239; 542486986; 334182645; 728918788; -1; -1; 620483431; 578862770; -1; -1; 634033951; 384910900; 663465877]) + +let test7 _ = assert_equal 1 (minDifference [19705162; 978315258; 681412196; 796339631; 910006879; 610054520; 646881330; 996060264; 14516640; 653539170; -1; -1; 814043832; 434805051; 727817308; 771688379; 837579598; 280321219; 542338790; 315779327; 742647586; 914355330; -1; -1; 505312403; -1; 208878885; -1; 823720052; -1; 568897036; 131189110; -1; 327425120; 894236587; 959157133; 86000194; 833382354; 434822518; 277503152; 163884446; 150336342; 352774822; 49235388; -1; -1; 200029141; 345751397; 128782935; 657617560; -1; 452111817; 744251792; 693143517; -1; 730132181; 986449000; 531731757; -1; -1; -1; 802817437; 37077705; 671697399; -1; 811897802; 131173817; 386923395; -1; -1; 989655375; -1; -1; -1; -1; 842339765; 441690429; 195718986; -1; 345384754; 890391841; 488483515; 361103133; 478930957; 743872720; -1; -1; 682944318; 28081480; 142685777; 837309080; 758842875; -1; 472813125; 985484029; 394460130; 852927605; 640332836; 425086565; 643357746; 194210816; -1; 797972291; 635574728; -1; 795318937; 591799821; -1; -1; -1; 242810527; 108525526; 703129455; 330761470; 255282513; -1; 562783124; 2955360; -1; -1; 38631420; 84837397; 3717924; 151077948; 399505014; 252335942; -1; 118004561; -1; 515751299; -1; 448238252; 5261404; -1; 163961637; 35826879; 741138610; 387440008; 38563524; 109181227; -1; -1; 5559595; 34720676; 980840203; 43564490; 46926659; 166903961; -1; 790690223; -1; 894664776; 750786156; 909892879; 566690544; -1; 608138846; -1; -1; 135751019; 114644941; 588184098; 347313748; 894318989; 601594802; 589675171; 414528186; 883830314; 487535088; 540246; -1; 612249900; 187053211; 654944948; 967459365; 636522387; -1; 861815372; 957014353; 206577759; -1; 373345129; 787031711; -1; 8385032; 720699280; 920448211; -1; 488129838; 269551479; 656986582; 884698170; 253458095; 557717685; 149921459; -1; 304737800; 407029277; -1; 947309890; 516506677; 497104048; 966590096; 978681142; 667611237; 393890247; 39414728; -1; 951938879; -1; 968710556; -1; 954193892; 909646505; 412361070; 122023302; 553735666; -1; 477975571; 975721923; 701800166; 38251432; 773740478; 703957907; -1; 381719889; 534984695; 19966173; 450454058; 77896505; 405303845; 749750730; 92538181; 667524631; 342693684; 433062051; 479064771; 336109216; 449860028; 261126136; -1; 333602993; -1; 366621156; 974428544; 89544279; 240716231; 167747483; -1; 165300295; 649483658; 708507366; 502213425; -1; -1; -1; 607809149; 415033310; 72643656; -1; 40358697; -1; -1; -1; 301205031; 556420928; -1; 671549543; 986377063; -1; 378450234; -1; 605562161; 36809691; -1; 72128388; 760224688; -1; 487306061; 636311123; 434959845; -1; 354241306; -1; -1; 810476617; 847358624; 521132031; 460888718; 210789165; 499308961; 305454636; 363755409; 913208224; -1; 389154172; 749519961; 631194468; 598817974; -1; -1; 315574400; 905703149; 732023914; -1; 713561319; -1; 565582225; 50596363; 150722671; 481063821; 152372389; 265196672; -1; -1; 152726456; 415048143; -1; 17564609; 446349234; 390561866; 209395568; 839750156; 841454109; 579973990; 899347986; -1; -1; 911396027; 241511121; -1; 452980092; -1; 623807803; 178836576; -1; 203930867; -1; 439795036; -1; 484019706; 501006780; 873134798; -1; 771171284; 150799301; 409049924; 558428596; 376304622; 980208953; -1; -1; 231258720; 972806869; -1; 15430318; 123575232; 6803917; 400091796; -1; -1; 667167069; 487721663; 123063818; 929017392; 646189406; 882458313; 791154829; -1; -1; 740532140; -1; 475055286; 912435816; 330676200; -1; -1; 756388714; 166097074; 435684087; 823232877; 331189646; -1; 899529403; -1; -1; -1; 892326013; 214271494; 358800090; 791703546; 409615302; 796271455; 190473146; -1; 892672034; -1; -1; -1; 249695387; 530231449; 740635308; -1; -1; 323420079; 157892469; -1; 110094286; 10101300; -1; 411390602; -1; 40071757; -1; -1; 157879669; 597607191; 995994567; -1; -1; 429747959; 690917544; 266815959; -1; 338007395; 960120531; -1; 155889861; 54048599; 550580240; -1; 548199967; -1; 996059670; 472607885; 534234739; 816477840; 492077484; 788067243; 63425; 579189437; 633709329; -1; 715862761; 716398840; 92938093; 602321124; 977760849; 223295761; -1; 960532818; 735981812; -1; 941953057; 895903398; 586266550; -1; 250400863; -1; 181452834; 391948867; 643136020; -1; 507880771; 858487739; 832556516; 541333386; 349987591; -1; 196817571; -1; -1; 650656962; 324372243; -1; 560407818; 80845745; 723760420; -1; 103075725; -1; -1; 841506059; 133084587; -1; 478222047; 863444877; -1; -1; -1; 693948682; -1; 556507345; 867322250; 558702732; 25235102; 46811031; 59470101; -1; 678976410; 177099205; 760980640; 5164227; -1; -1; 720893183; 49689581; 823148115; 468814406; 377629318; 117863126; 555576102; 816462595; 553166328; 278929542; 762931997; 192099924; 440526219; 479422152; 569257384; 711570372; 801824936; -1; 42412672; 1123646; 922397939; -1; 644262621; -1; 111407630; 945017725; 81997611; 94268670; 740635413; 600488191; 679009455; -1; 204783346; 139262395; 518013226; 131379639; 330033750; -1; -1; -1; -1; 545729458; 177599370; 293948551; -1; 833908526; 491888628; 117582124; 993467610; -1; -1; -1; -1; 997333766; 847031761; 134679440; 76669517; 356134158; 310980491; 319023169; 662425639; 513599008; -1; 319275653; 377451096; 616259690; 36014514; 277691555; -1; 156599069; 593490432; 142092634; -1; 758014318; -1; -1; 197324381; 441077386; -1; -1; 799425867; 294097190; 254018202; 879002964; 758220294; 476414045; -1; 923165797; 907826015; 831071599; -1; 436046335; -1; 777332415; -1; -1; 426859585; -1; 193717875; -1; 808411673; 411145529; -1; 984321558; -1; 413422721; 386772464; 731134718; -1; 872857309; 395721506; -1; 220141604; -1; -1; 258570118; 406043392; -1; 390133771; -1; 83496142; 701742656; 446336870; 703508840; 936477513; 132450714; -1; -1; -1; 670255460; 236888370; -1; -1; 739255345; 154753233; 699365251; -1; 230975719; -1; -1; 477961216; -1; -1; 368510507; 317411904; 318842286; 459585543; -1; 700903229; 563812953; 50841606; 656791129; 710160748; 754883235; 132823386; 195208562; 743452022; 671344030; 161863314; -1; 842851637; 229265049; -1; 388136150; 775489206; 619581593; 269909601; 1331195; -1; -1; 921921159; -1; 410417913; 160392237; 280688394; -1; 41843836; -1; 340937803; -1; 268219401; 16258913; 343614420; 667368853; 524148142; 848074559; 946853768; 891074077; 501011430; 478887185; 530922692; 866624393; -1; 320461155; 425418553; -1; 734809378; -1; -1; -1; 518271819; 642230996; 993503757; -1; 435988275; 292371592; -1; 856039424; 169414747; 398539720; -1; 31251059; 584374738; 564835438; 606310210; 102017052; 426297838; 699740532; 339277509; 764472611; 542247868; -1; 575915178; 497855510; 592723759; 113593561; -1; 36902057; -1; 129098555; 713535835; 251264431; 207639601; -1; 757649957; -1; 851272125; -1; 135451950; -1; 270443171; 327133863; -1; 653072440; 473207618; 651600280; 691932678; 141187929; 696688252; -1; 49723051; 722709149; -1; -1; 202922345; 873271427; -1; -1; 36639085; 683443160; 83099885; 543985834; 615167734; 832812086; 7797532; 39856916; 747146330; -1; -1; -1; -1; 593377405; 820565652; -1; 451705725; -1; 858136614; -1; 606492238; 616897758; -1; -1; -1; 383077348; 571356456; -1; 354151607; 636375628; 583510195; 78994640; 420494598; -1; 994366270; 986924953; -1; 160296138; 799173616; 888176848; 36523579; -1; 46992328; 797459224; 356181689; -1; -1; -1; 47487881; 223388755; 635824862; 361299851; 367446754; -1; -1; 780955510; 106954864; 422418832; 981736062; -1; 395506218; -1; 777119217; -1; 320899322; -1; 242506055; 768471468; 131223662; 523970455; 521215003; -1; -1; 307899408; 990660387; 891189834; 562550904; 24378563; 938903294; -1; 802471416; 605970643; 263490468; 539387075; -1; -1; -1; 370121446; 479462529; 471273021; 647387359; 957202857; 986520052; 538891956; 948127123; -1; 260231434; 61789089; 352476870; 51873971; 913375599; -1; 918174343; 302711169; 645906796; 403066422; -1; 768618665; -1; 537514118; 700465284; -1; 233248385; 57292723; -1; -1; 349839250; 53130418; 799788538; 190268554; 453980051; 965971867; 179056507; -1; 344180212; 546882891; -1; -1; 624290742; 219069754; 959973033; 413775369; -1; 396707066; -1; 834242807; -1; 349131602; 891703951; -1; -1; -1; -1; 342320943; -1; -1; -1; -1; 257437610; 110216242; -1; 912486916; 293264769; 979090754; 130991541; 158519833; 724068782; -1; 853323417; 966725575; 36195208; 274011345; -1; 498953252; 226037799; 736724190; 53723768; -1; -1; -1; 165249992; -1; 840348404; 697307140; 433278733; 569469757; 339548215; 158214408; 301853832; 859867411; 597996472; 693997489; 27006202; 947685810; -1; 194181161; 749669458; 589357107; 848982760; 186931065; 636906136; -1; 634836246; 917756424; 601872533; 748938445; 811365992; 638301100; -1; -1; 255797230; 512113054; 965752202; -1; 581443272; 484204849; 519811599; 861950160; 502821170; 961342774; 581531460; -1; 131764821; 708736982; -1; -1; 884012448; 341415751; 631645012; 585321583; 390448367; 733142369; 281180710; 739352925; -1; 375977207; 271738336; 935453196; -1; 734181110; 290145392; -1; 787008732; 902530583; 654026725; 522818514; -1; 450863900; 595620059; 547153245; 365917304; 12891558; 445370918; -1; 2913491; 173225355; -1; 592671236; 476895453; 210311572; 183873223; 19180432; 469589230; 920034411; 302881152; -1; 328091922; 538562411; 695091697; -1; 566997115; -1; -1; -1; -1; -1; 284273141; 41394734; -1; 784974307; 900077489; 386481857; -1; 972661542; -1; 210565038; 18378606; -1; 78802452; 157611801; 786236945; 498201519; 400500720; 5552783; -1; -1; 646078811; 615002412; -1; 199121523; -1; 141928894; 568409777; 167195056; -1; 301235294; -1; 904800937; 354949624; 609167894; 661075971; 170449751; -1; 435185426; 813571240; 53470201; 727829911; -1; -1; 913509977; -1; 288032523; 799033199; 703022884; 263430016; 768919801; 972724626; -1; 17870628; 330225440; 49288208; 267026730; -1; 647575062; 201740808; 879242309; 760331205; 153429261; -1; 666023798; 859127856; 839995356; -1; 490044827; 371961975; 870799881; -1; -1; 330962963; 827246501; -1; 47513719; 132823509; 797449461; 265172390; 338076199; -1; 116345235; 441956686; 651208080; 121758165; 344158303; 733062570; 270843455; 92717399; 783858599; -1; 284960945; -1; 617072185; 631361444; 556176399; 859126256; 685252804; -1; 823792762; -1; -1; -1; 450260487; -1; 384054788; 394157489; 416069464; -1; 940571036; 165971771; -1; 964188728; 458750628; 521238405; 726902227; 611990853; -1; 710612926; 380258456; -1; 358426525; -1; -1; 489517146; 214695836; -1; 63363728; 539691260; -1; -1; -1; 641069274; 452622178; 533399383; 235811935; 624207709; -1; 243832250; 332958124; 446544912; 138090476; -1; 291177485; 697431884; 258969124; 211217632; 160568039; 80770599; 942336130; 737194257; 620201131; 570916718; -1; -1; 141619376; 971696855; 505322280; 972072683; 397571498; 510614674; 693066431; 305514778; -1; 9636447; 794960863; 926283840; 876675363; -1; -1; 697054846; -1; 588040669; 350698275; -1; 412061005; 653246460; 829114216; 666219253; -1; 956100164; 652141027; 397067886; 970299936; 913634283; 943167813; -1; 28957173; -1; 351615946; 327106968; 430919066; 557753594; 922556636; 787546662; -1; -1; 325862994; 51723852; 46011084; 929290993; 829017936; 549672425; 555598681; -1; 14977697; -1; 827699807; 476223160; -1; 402839455; 769812828; 483354165; 817690857; 529665014; -1; -1; -1; 171104397; -1; -1; 675807473; -1; -1; 241916622; -1; 838131238; 624569944; 920770587; 737095959; 276424216; -1; -1; 188356940; 301839091; -1; -1; 429028428; 700734991; 886317823; 735636910; 74931452; 824907529; 206490237; 510055695; 832843644; -1; -1; 872986762; -1; 278131134; -1; -1; 415404774; 524877195; 216462871; 182789635; -1; 203766795; 361212851; -1; 850582509; 592375198; 811810101; 953026415; 222886297; 446245295; -1; 708870491; 682375256; -1; -1; -1; 828347515; -1; 942910306; 544592204; -1; 819540490; 720992391; -1; 697624282; 480347713; 194709432; 57409499; 45300729; 63838816; 882920931; 869853332; 209282545; 524492117; -1; 102729389; 178263938; 493076827; 417043534; 215301584; 635574425; 292032019; 630503826; 435793902; -1; -1; 528988135; 375958853; 720140957; 805381778; -1; 628200169; 696764488; 706335557; 802599000; 880078352; -1; 32261588; -1; 751742537; -1; 388709289; 122577894; 539247774; 928652221; 540751623; -1; 973717587; 678102352; -1; 359191601; 11363354; 260409830; 875870639; -1; 781331629; 211000704; 901059332; 24931126; 597311053; -1; 487041918; -1; 741741151; 155301792; -1; 190132070; 123712397; 133955142; -1; 268776682; 972008327; 837767786; 464940618; -1; -1; -1; -1; 775971766; 268315376; 731132458; -1; 24413199; -1; 397787794; 66707386; 445874829; 909115229; 237154874; 249426786; 318693877; 840684114; 234925905; 949437766; 504955278; 810916873; -1; 699030325; -1; 834070768; 174383608; -1; 675204113; 956405121; 503322424; 442290264; 694639937; -1; 482030805; 323675306; 766567126; 452521746; -1; -1; 81574413; 217840476; 756792647; 389165811; -1; 841080259; 866948348; 301762507; 232196092; 704611864; 316203669; 674438070; -1; 292844977; 334780624; 283341677; 682091064; -1; 653354643; -1; 124725677; -1; 141025516; 161255140; 728873455; 747799133; -1; -1; -1; 852706256; 684932432; 947053724; 804555439; 9130574; -1; -1; 771414080; 916130950; -1; -1; 974898891; -1; 233471135; 973335667; 360615987; 617218175; 104656255; 153325019; 234984364; 817586463; -1; 652359961; 973918843; 120978125; 362100980; 342246780; 931130398; 231275619; 790895938; -1; -1; -1; 318481626; 152921451; -1; 260520646; 910560344; 3177638; 322272527; -1; 974751383; 830987761; -1; 776717116; 241655542; 65309910; 189417107; 929987068; 536425533; -1; 451731479; -1; 391792944; 924944805; 379186888; 233684692; -1; 922560166; 358511002; 79421556; 814984656; 582412266; 742778813; -1; 528815289; -1; 603860632; -1; 178738472; -1; -1; 958692522; -1; 689474991; 399117825; 164254065; 760190745; -1; 420123514; 586198131; -1; 314468917; 854565391; 363951258; 362795887; 363928107; 774238835; 749074036; 707680778; -1; -1; 256884383; -1; 6385047; 366878590; 136873720; -1; 513196264; 952850681; 81171162; 599214684; 865074065; 93911670; 478026993; -1; 694637721; -1; 817908105; 54493804; -1; 730227716; -1; -1; -1; 717960202; 217269760; -1; -1; 703951777; -1; 948926798; 140049798; 409161102; 582168485; -1; -1; 346770773; 444680537; 591600657; 718592488; 100924179; 46534054; 765824148; -1; 869257576; 112943094; 317748492; 133832189; 21315826; 135970704; -1; 153644027; 61461535; 609310130; 859541019; -1; 202952975; -1; 529366962; 622858974; 852081423; 748407097; 892317425; -1; -1; 613583808; -1; 2441252; 922956224; 432481392; 698330038; 543130965; -1; 90350190; 597929433; 361173918; 700970399; 81177604; 253484956; -1; -1; 841339139; -1; 74600802; 852020196; -1; 855425636; -1; 351956118; 79400997; 735342274; -1; 245688718; 821119783; 189546308; 569281291; -1; 131050942; -1; 462385567; 761639521; 797550386; 66557156; -1; -1; 883869268; -1; -1; 808279582; 644584077; 137806277; 211738608; 506414800; 346843495; 587337045; -1; -1; 269627341; 917725262; 169528767; 791423895; 221833344; 571014548; 753495456; 432275917; -1; -1; -1; -1; 197792823; 981070122; 44248630; -1; 308759906; -1; 216349206; 373479036; -1; 730669408; -1; 291071111; 751590089; 129685718; 719024518; 111737218; -1; -1; 269533774; 576273817; -1; 291021696; -1; -1; 522707394; 690082346; 472078114; 226739264; 675753151; 427718236; 715950889; 998591241; 279022430; 341277237; 830837483; 373312870; 470743409; -1; 921934421; 136327574; 539957951; -1; -1; -1; 327760164; -1; 151395487; -1; -1; 507181376; -1; 425129073; -1; 791496949; 100383880; 410196786; 638776064; -1; 408450313; -1; 362957976; -1; 95321251; 803681290; -1; 9867961; -1; -1; 803562473; -1; 494657244; 824560420; 259459340; 884005106; 319832019; -1; 774538344; 916089106; 159106117; 277808946; -1; -1; -1; 322230295; -1; 74900676; -1; 124649472; 71755717; 927150586; 362076845; 684885677; 134276292; -1; 854603583; 405547484; 590802582; -1; -1; 502001081; -1; 667502871; 439167615; 972303998; -1; -1; -1; 359571671; 722500208; -1; 918715773; 510884139; 971503186; 279126270; -1; -1; -1; 169514224; 748331485; 294711048; 675720261; -1; -1; 265714918; -1; -1; -1; -1; -1; 34657578; 892699732; 894721699; -1; -1; -1; 266753150; 993660728; -1; -1; -1; 609872620; 394008787; -1; 553165851; 300410161; 659071969; 173260062; 199252613; 681585252; -1; 668029891; 556773446; -1; 934805294; 340294878; 260516861; -1; 999392004; 472186922; -1; 750566867; -1; -1; 591560664; -1; -1; -1; -1; 712473187; 841084255; 970604126; 1938975; 800730989; -1; 891859746; 553417178; 38764657; 920459511; -1; -1; -1; 336070363; 969562929; 422775270; 938289102; -1; -1; 913441208; 77637913; 322889732; 872600456; 648903280; 678220855; -1; 99335909; -1; 391753174; -1; -1; 939288624; -1; 159920356; 6545293; -1; -1; -1; -1; 754702369; 775976132; 188527961; -1; 988288781; -1; 590502714; -1; 920772612; 294366694; 302265161; 523577214; 619153438; -1; 462190499; 688205609; 835008677; -1; 146289112; 528470547; 938741663; -1; -1; 869037613; 628069821; -1; 827237371; -1; 762643804; 46288586; -1; 463749443; 173244185; -1; 946933795; -1; 543695603; 427593014; 74112515; -1; 255578209; -1; 249573853; 913947051; 331955523; 370769388; 325457353; 742801095; 443905631; -1; 762815825; -1; 567367809; 268025809; 450959672; 324489717; 469513024; 690268729; 987418322; 706112596; 408486585; 362068101; 112664605; 401741579; -1; -1; -1; -1; 769702504; 485670191; 567181350; 621384401; -1; 987680840; 189079886; 430690461; 56289812; 260639607; -1; 646255928; -1; 223759837; 859884491; 292668833; 921460733; 101388975; 752785871; 46499217; -1; 482956687; 857844665; 117026594; 827059835; 704749169; 751435229; -1; -1; 661870817; 972056140; 607528339; 572180919; 693046399; -1; -1; -1; 226942414; -1; 304530923; 140258565; 208314314; 991330041; 100462950; 594989020; 507372085; 414160632; 543523608; -1; -1; -1; 324955022; 823281617; 136740270; 878227266; 78505758; 997548770; -1; 547771915; 149384057; 139152219; 169606247; 488742587; -1; 286244950; 33250273; -1; 961723614; 876187178; 709684893; -1; 290681144; 726378765; 813540172; -1; 840472543; 617759593; 574686946; 5307564; 477665250; 840900480; 593987622; 109694738; 83304701; 673234451; 215315019; -1; 833325487; -1; 667918049; 350096049; 39919749; -1; 74705630; -1; 664192627; 115076797; -1; 623524677; -1; 81641719; 576370775; -1; -1; 273031643; 460124262; -1; 155290306; 2173687; -1; 933863218; -1; 762356428; 835355114; -1; 955847348; 445450277; -1; -1; -1; 678872110; 132499377; 14685508; -1; 582000412; 330461559; 973294765; 425130075; -1; -1; 559545938; 291405942; 254502537; 907143008; 949052252; 964208476; -1; 216395182; 340624199; 826189060; -1; 158132587; -1; -1; -1; 781393051; -1; 448026210; 109787935; 349419432; -1; -1; 470319200; 791206944; -1; -1; 16230185; 841133590; 530635803; 660813633; 194824291; 641483790; -1; -1; -1; 595534444; 496327613; 914713839; 929156424; 805336407; 206006271; 583917571; 885822671; 401036700; 499627177; 927471718; -1; -1; 163030962; 116114321; 383450640; -1; -1; 879528106; 718628378; 731388595; 928453464; 491689676; -1; -1; 661568017; 857151059; 237753273; 238840152; 671084815; 118333835; -1; -1; 721837482; 715265373; 664997636; -1; 491006289; 776190066; 653960522; 324257957; -1; 540151050; 500627599; -1; 472972244; -1; 192701703; 264217284; -1; 42659000; 577365202; -1; -1; 54546529; 691498403; 6426837; -1; 705387313; 856579832; 914279761; 638972843; 816726751; 497302323; -1; 505531863; 461601974; 198014973; 995837926; 240590065; 92418139; 179743337; 30095249; -1; 92541772; -1; -1; 842966447; 179463340; 279086428; -1; 359718476; -1; 437973973; 984821906; 17032346; 805811579; -1; 673101931; 687073947; 520287200; 567749207; 724555888; -1; 54395542; -1; 560861090; -1; 461448739; 769813871; -1; 198520301; -1; -1; 349275846; 663633561; -1; 89375986; -1; 681045461; 156499258; -1; 585548428; 781105347; 312090789; 491078156; 168343136; 420611002; 565624439; 299911837; -1; 874222661; -1; 933740354; -1; 411827920; 548902158; -1; 740058360; -1; 10355473; 411134917; -1; 401163550; 754698752; 615688835; 331337588; 575454817; 58427385; -1; -1; 99465877; 69160192; 663085827; 11391294; 138610796; 133048133; 85301625; 713214426; -1; -1; 940588228; -1; 583211350; -1; 683167583; 48518035; 704081510; 490678542; 437850044; 785391621; 238234865; 105566671; 614363416; -1; 775376931; -1; 40843702; 84568456; 389315379; 844590961; -1; 292896390; 930529655; 740412915; 841539236; 828052345; 280536277; 594209310; 479908541; -1; 724071706; 885595718; -1; -1; -1; 703257384; 543158870; 11355581; 244624213; 174663501; 184179229; 520010398; 844647265; 765432183; 103152364; 850642902; 401489389; 257915985; 521556711; -1; -1; -1; 542687883; 825019505; 734821346; 60691697; 170090875; -1; -1; -1; 607409482; 538550855; 668593213; 885084808; 972011250; 323937059; 897457108; 161165435; 184827183; 786433476; 995475320; -1; 692704097; -1; 409699934; -1; 38362121; -1; 402069154; 75698629; -1; 763715078; 796366713; 697390767; 216436862; 836118021; 522693461; -1; 140964613; -1; 665657509; 562270314; 343618934; 579448314; 341926733; 619844669; 59606117; 454858305; 483026030; 110982203; 6022112; 62876583; 183004330; 553336820; -1; 939753013; 324200665; 786463654; 42437647; -1; -1; 629909800; -1; -1; -1; -1; -1; 880972740; 455147730; 204277545; -1; -1; 565755846; 570627836; 584059988; 21348736; -1; 356147693; -1; 403512998; 341011539; 287677637; 465574174; -1; 5265466; 372111615; -1; 336779941; -1; 817816301; 44658265; -1; -1; -1; 35401712; 252421969; 980759708; 18590134; 984366118; 261065368; 160051419; -1; -1; -1; 72192342; -1; 433220394; 158520076; 714951930; 162316325; 816000613; 347869073; 562016651; 865663870; 509663527; 742147445; 277310225; -1; 920398599; -1; -1; 680179970; 791579671; -1; -1; 804744; -1; 607155496; -1; 619662827; 912943074; -1; -1; 466735234; 7624042; 685886520; 835851118; 132929014; 246169599; 439216787; -1; 577950207; 694271261; 495946826; 722466962; -1; 900634892; 500035666; 848256864; 723105020; 257678562; -1; -1; 112129312; -1; 565763249; 125636409; 976653300; 523922721; 546348889; 765148641; 231125761; 189039299; -1; -1; 957166334; 772151134; -1; 494597989; 137065293; 4847859; 49219295; -1; 734924206; 600819877; 363917591; 143109179; -1; 640119994; 900083448; -1; -1; 632607874; 699243554; -1; 106699323; 871538762; -1; 399943909; -1; 851681962; -1; 222519679; -1; -1; 618905437; -1; 761128937; 858642537; -1; -1; 527046814; 981997439; 471327035; 778786750; -1; 214481816; 820825987; 714693992; 864746019; 468891080; -1; 99185246; 553436400; -1; 528069424; 708539179; 357038770; -1; 656664341; 607328924; -1; 375836103; 55413084; 868237651; 545259786; -1; 92827645; 951863775; 621926400; -1; 371322279; 307268712; 101744243; -1; 178248244; 393765727; 427667572; -1; 737217012; -1; -1; -1; 517757255; -1; 105737509; 985022938; -1; 824332045; 990939704; 182307645; -1; 758541976; 163101547; -1; 293920927; 341797276; 420450540; -1; 830798870; -1; 56688935; -1; 163641571; 37026831; 454333166; 924716249; 169491774; -1; 544708461; 435913412; -1; 11805460; 108640303; 647094708; -1; 330790418; -1; 714604083; 464078552; 483684475; -1; 594504846; 445702843; 49959365; -1; -1; -1; -1; 588526189; 394675040; 135058691; -1; 77049767; 255830011; 11995314; -1; 407780113; 662854370; 439285260; 167298803; -1; 584810480; 502941077; 629037770; 860192120; -1; -1; -1; -1; 671345747; 464572523; 803431992; -1; 8082251; 250199826; 751744076; 343119336; -1; 186669169; 595261123; 626288695; 375948067; 935451934; -1; -1; 641526996; 943195421; -1; -1; 585479661; 480177271; 840127231; 725218460; 184926808; 66961975; 609020893; 70878022; 64398144; -1; -1; -1; -1; 56765489; 219876764; 245106908; -1; 329604176; 49943414; 246044292; 943354480; -1; 452787318; 524525408; 699933698; -1; 441429179; 672115345; -1; -1; 333401938; 649158652; 246050261; 261074151; 63858691; 249732422; 422494182; 53344029; 162325585; 536337841; -1; 685952834; 838021; 905204322; 208066194; -1; -1; 232886676; -1; 457443154; 265931070; 39926650; 416428171; 199163368; 713486489; 978632492; 54940358; 972989379; -1; 833943710; 156506866; 80137981; 156554962; 29091167; -1; 377741805; 556441068; -1; 781617168; 733572514; -1; 252605686; 308056333; 43186126; 930614959; -1; -1; 102759881; 638611014; 66336755; 25138030; -1; 154139454; -1; -1; -1; 862960586; 117225351; -1; 123776672; -1; 435507372; -1; -1; -1; 346444751; 436954284; 409563750; -1; 532400088; 944617204; 169132822; 705868015; 248667590; 490272326; 61061790; 635548001; 678284648; -1; 474833376; 34187138; 543980756; 757042458; 335537741; -1; 875279218; 678562452; 262984126; -1; -1; 941798820; 154651838; -1; -1; 555268490; 970466687; 781394979; 932483070; -1; -1; -1; 271296456; -1; -1; 469183853; -1; 621460313; -1; -1; 167330; -1; -1; -1; -1; -1; 674427062; 493251193; 786589029; 102863101; -1; 5846424; 767878662; 426753832; 657705818; -1; -1; 201214131; 959408164; 26871918; 600189272; 112407176; 40727067; 191763436; 568895396; 941216424; 510341908; -1; 457136180; 221400320; 451956530; 145335765; -1; 568921461; 591550966; 872095839; -1; 389051726; 930699102; -1; 480185386; -1; -1; 815319866; 985616076; -1; 800476892; 751758931; -1; -1; 426182617; 196945480; 492070145; -1; 764177248; 633426963; 638371395; -1; 373013844; 593176740; 516585102; 828571683; 757242698; 402168208; 484761455; -1; 140763253; 559052991; 563057570; -1; 213221930; -1; 133788327; -1; 745276913; 141741250; 209460226; -1; 862701276; 723909041; 932481523; -1; 935158781; 233445592; 98223430; 379384095; 578400254; 846000383; 750309190; 704061942; 786918338; 583262031; 337307830; 395706778; 185975950; -1; 827035128; 580780093; 852645881; 46035013; 69858491; 101969701; 286907633; -1; 202221995; 468932480; 723207747; 154371213; 868860238; -1; 203580350; 150191873; -1; 532035632; 212675877; 475968364; 143872832; 306257930; -1; -1; 188984716; 237638703; 540652129; 340565273; 794978446; 356537900; 171877671; 618304016; 279281867; 665557624; 424095752; 487719781; -1; 986544354; -1; 222548185; 133160873; 760661729; 95835492; 266000640; 734727375; 18973072; -1; -1; 590304244; 302472297; -1; 575890994; 212502432; 14219380; 531919569; 376525874; 251071542; -1; 993808643; 323865386; -1; -1; 152938213; 997977644; 918650296; 703073412; -1; 631105150; 796500934; -1; -1; -1; 71931179; 469597311; -1; -1; 111159998; 751819108; 437419269; 947443106; 222017176; 530598694; -1; 228306725; 840429540; 292980390; 59339589; 504625450; 965870442; 560048934; 44164368; 204886124; 499801246; -1; 515689727; 823183253; 828249898; 520479269; -1; -1; -1; -1; 86357984; 71693209; 379409413; 707318526; 146295880; 932028661; 321026910; 623184869; 416346096; -1; 166795549; 443145551; -1; 17996418; -1; -1; -1; -1; -1; -1; 812406714; 65487267; 229573002; 548890211; 255966539; 847683698; -1; 904515907; 867417194; -1; -1; -1; 564141809; -1; -1; -1; -1; -1; 308373967; 177768810; 622742024; -1; 351083098; 556304151; 859688460; 354997395; 780086273; -1; 82869547; 822245265; 458617166; -1; -1; 238295554; -1; 950376232; -1; 393481970; 57588027; 125738865; -1; 488543780; 845598496; 113321894; 713311163; -1; 665890717; 174214026; 777246159; -1; 124173764; -1; 253226046; 306714391; -1; 900394307; 374134480; 13516762; 458749768; 483462795; 724770120; -1; 864710415; -1; 245132281; -1; -1; 446556817; -1; -1; -1; 324054342; 236478380; 193099904; 42138808; 535827529; -1; 935609153; -1; 697607070; -1; 574381018; 761173387; 756901022; 28023123; 380486079; -1; 311077702; 687531038; 642450825; 903785904; -1; -1; 342554492; 901143840; 592541743; -1; 989660916; -1; 105768819; 822891008; 227774814; -1; -1; 573958320; 789639760; 457924392; 507151496; 185545751; 402358051; -1; 190904771; 635109921; 203921795; -1; -1; 799052659; 579661650; 630339179; 442690275; -1; 123614820; -1; 962788488; 904379194; -1; -1; -1; 489811593; 968940906; -1; 920253840; -1; 574881398; 516994287; 606993062; -1; 188576259; 474953123; -1; -1; -1; 86753825; -1; 214773200; 410877987; 380429212; 125120236; 911986409; 173580705; 801236786; -1; -1; 375283141; 430402647; 738008837; 359274532; 519425374; -1; 224203911; -1; -1; 839887699; 312820075; 414016602; 979477906; 658872812; 12786599; -1; -1; 575950711; 299576482; 362170227; 721951892; 498879351; 338906372; 930051803; 678739974; 720529237; 328413738; 580631091; 831918275; -1; 738751945; 522959772; 88355774; -1; 502387797; 964405132; 118530188; 760838650; -1; 560873721; 886455199; 753351754; 921426664; 230761702; -1; 47662083; 537102287; 721226814; 525904333; 701701958; -1; 193931310; 846132393; 847684093; -1; 543140177; -1; 899580577; 790317296; 404816224; 926422880; 933891568; 71500521; 457022819; 975810593; -1; 558342016; 290219572; -1; -1; 669697529; -1; -1; 30619156; 644559323; 306331416; 543122361; 484747877; -1; 782172483; 171439810; 148777537; -1; 112239144; -1; 170501128; -1; -1; 141414048; 294919660; -1; -1; 155395079; 441978421; 42728318; 797876694; 584574625; -1; -1; 522000552; -1; -1; 937219768; 898839010; 990666723; -1; 189045408; 266189070; 492399779; 805203442; -1; -1; 768581567; -1; 925142652; 325503873; 659852998; -1; 733633953; 829125741; -1; 625667619; 773418609; -1; -1; -1; 949608392; 911984190; -1; 59199136; 334631256; 260167526; 366273126; 709172415; -1; 448931787; 474584118; 455680152; 326413740; 727498992; 246280524; 68988292; 819270666; 939406597; 161304696; 125954970; 714761374; 296438035; 645120331; 333670865; 447452780; 870000750; 844820727; 444814369; 785212689; -1; 554239242; 65958584; 866762292; 798498724; -1; 604132038; -1; 756017182; 852381245; 543365654; 906500954; 544942723; 942541721; 878538343; 509909220; -1; 186745019; 387436990; 346780989; -1; 37310512; 806761483; 526372773; 543910673; -1; -1; 839013791; 576285334; -1; 823333191; 748575689; 546816261; 61653849; 992758426; 929584466; 766454994; 412058332; -1; 242704268; 150027697; 16910718; -1; 106619566; 324079983; 691030069; 595443395; 822516974; 405085778; 217100515; 29692335; 868722867; 460515082; -1; 551157720; 267491717; 260894664; 110622831; -1; 904729506; 872998727; 735896214; 560445786; 421819445; 204818516; -1; 86228890; 845399956; -1; 375990765; 120069973; 663937633; 52977565; -1; -1; -1; 793679678; 840076725; 546956423; 765266944; 194572821; -1; 556093553; 859549842; -1; 85235523; 452454357; 550574644; -1; -1; 988188044; -1; 643987269; 423002769; 449211043; 621774449; 130812792; 400326225; 325316969; -1; 652910225; 567943191; -1; 68546707; 547237885; 73764461; 800134694; -1; 759086450; -1; 407492891; -1; -1; 638332092; -1; 678585305; 28115677; -1; 592141129; 798756419; 133128361; -1; 475792778; 685258564; 162090044; 563362462; 781110041; -1; 561104817; -1; -1; 745718562; -1; 67994081; 21989361; -1; 350949538; 784441492; 533121431; 551464943; -1; 967557580; 357209346; 143404562; 279177315; 301423038; -1; -1; -1; -1; -1; 381423270; 200882427; -1; 504634393; 252898677; -1; 662118999; 466079551; -1; -1; 573967137; -1; -1; 877728005; -1; -1; 510163527; 800840394; 526345848; 957627542; 218624408; 38448190; 296111774; 608575121; 752072672; 446209396; -1; 550366088; -1; 139360753; 158735022; 439984642; 750904034; -1; 244103228; 636812605; -1; 58694248; 958582628; -1; 670488657; 742163895; 545359424; -1; 756214047; 526905397; 675450943; 879280253; 875040548; 720545751; 56881973; 407207369; 855149096; 14005418; 223779701; 594958981; 224116638; -1; 104697944; 909697371; 451228656; 487652618; 211021424; 364403888; 931171822; 270028548; -1; -1; 802301510; 890158505; 499801729; 251160740; -1; 516702982; 631277389; 410783788; 506071321; 889432322; -1; 764425972; 754392762; 209894392; 341209446; 11268726; -1; -1; 207006165; 144160020; -1; -1; 338442029; -1; 64726087; 265147763; -1; -1; 318239309; -1; 555718221; 568476253; -1; -1; -1; 133901857; 439027538; 514422656; 819190901; 968974460; 368983038; -1; 565810135; 621439747; 234505589; -1; -1; 888951506; -1; -1; 727484149; 708503837; 899043064; -1; 55584898; 170380158; 938322857; 399189279; 679875407; 492087611; 2265841; -1; 943167998; 604163398; -1; 687629296; -1; 580122369; -1; 407400895; 204125421; 178986601; -1; 568711820; 622483388; -1; -1; 653063615; 217029480; 718880147; -1; -1; 44109082; 375642526; 506261100; -1; 454521955; 112446927; 783653301; 662601548; 410995413; -1; 622885911; 999080662; 288855156; 372908582; -1; -1; -1; -1; 480918648; 39186847; 755205494; -1; 674634957; 855438632; 475750661; 257494552; -1; 849295043; 644727016; -1; 572281262; 410515591; -1; -1; 928137202; 850189933; 275111811; 685298585; 555613351; 457932877; 17979420; 406477616; 599404689; 346295038; 727020438; -1; -1; 416227889; 434348136; 747780544; -1; -1; 536642819; 542902900; 357857857; 606272122; 737680235; 726522472; -1; 849371679; 162896621; 171550904; 184826566; 100941655; -1; 296617062; 345792967; 368251407; -1; 717048930; 487125378; 974819015; 651422088; 200838300; -1; -1; 627255722; 896997948; -1; 890850382; 778891865; 646414795; 428750427; 602580168; -1; 755156488; -1; 986465378; 563885599; -1; 928651893; 102927980; 357584255; 643273690; 684506964; 304187861; -1; 832335868; 583627861; 545369703; 358029042; -1; -1; 343046239; 972984290; 429908782; 862088952; -1; -1; 80812981; 453116820; 307361414; 5390234; 462194864; 53756575; -1; -1; -1; -1; -1; 685623994; 354919730; 686905113; -1; 978676970; 850561093; 12404601; -1; -1; 770582620; -1; -1; -1; 599806274; 54622444; 198543345; 975555385; -1; -1; -1; 329076135; 83904352; 281079674; 276780746; 152192626; -1; 206087308; 863347300; -1; -1; 833965498; -1; -1; 751105007; -1; 817271920; 399239180; -1; 644003065; -1; 561526220; 808711759; 221077213; 37937532; 617388151; -1; 931798390; 207682763; 296595648; -1; 534005634; 995954264; 841773447; 578035900; -1; 484446507; -1; 851980404; 379108446; -1; 397844855; -1; 602769346; 135070048; -1; -1; 26533497; -1; 199671134; 400345596; -1; 678928165; 488515347; 147079900; 37043404; -1; -1; 994840286; 577059260; 131415988; 242391136; 541767363; 628079071; 404342351; -1; 664102523; 410437785; 745713363; -1; 940042942; 318781956; -1; 154657441; 535905869; 658027777; 28393687; -1; 991124175; 224913457; 350566567; 103216878; 384250120; 461810105; -1; -1; 183107206; -1; 90431188; 821514282; 334396626; -1; 328878866; 449550083; 813990526; -1; 550302140; -1; 233551512; 566721474; 938787775; 272816788; 591203516; 47888769; -1; -1; 225553665; -1; -1; -1; 351174154; 397488017; 925828574; 426543135; 599757836; 547449290; 523162708; -1; 541479777; -1; 424249955; 848631109; 499971066; 642234986; 128623584; -1; -1; 159166527; -1; 975396592; 502470497; 116216793; -1; 857728444; 760035255; 813008924; -1; -1; 743102233; -1; 852522551; 370296600; 861838907; -1; 283257152; 388183126; 119914612; 904534806; 3140485; 231399100; 795849528; 22004630; 611572543; 40861310; 323174441; 92207048; 636375677; 900383497; -1; 345220506; 945301961; -1; -1; 695402401; -1; -1; 180687617; -1; 662639757; 27761771; 792011586; -1; -1; 533396289; 661968138; 617019582; 290719118; 684415997; 820867879; -1; -1; 364925851; 159991650; 509384477; 283222294; -1; 253061438; -1; 754278450; -1; 884364196; -1; -1; 637478077; 106811401; 404913890; -1; 375329553; -1; 365846273; 571907411; -1; 965679834; 220196848; 638631365; -1; -1; 267939395; -1; 554166610; -1; 400383488; 705553495; 674149775; -1; 170505032; 276674461; 737493412; 907928352; 258765886; 885814999; 641053272; 924386948; 378522819; 906478759; 273823347; 469357762; 783033440; -1; 777036131; 756641903; 613858459; 48546690; 382582637; 395064457; 930384989; -1; -1; 741269332; 307362176; 371234797; 169561634; -1; -1; -1; 957998641; -1; -1; 331000102; 138737676; 431376462; 500286634; 932282861; 861717345; -1; 25052215; 108203606; 661215388; 121494227; 471807303; 278082918; 539803500; -1; 941506407; -1; 304349585; 759382; -1; -1; 66123923; 413250283; 744951103; 669675599; 768077863; 195116261; 116738304; 844143791; 169129196; 934416767; 918739798; 813444126; 308993895; 630950980; -1; 201851195; -1; 359038994; -1; -1; 412400791; 931681345; 842344875; -1; 54179898; -1; 834115949; -1; 945438088; -1; 639272756; -1; 658899683; 781819848; -1; 640057797; 918814593; -1; 881850484; 95555397; 818217438; 677525638; 779976993; -1; -1; 809395788; 355321650; 338768835; 994270289; 188930497; 627489849; 527553683; 250287854; 993509901; 778112125; 547930621; 309738979; -1; 120279847; 788635470; -1; 280423364; 470217806; 232542615; -1; 947736769; 995835549; 349621191; -1; 596362053; -1; 365192606; 527957105; 932401688; -1; 21164826; -1; 568867103; -1; -1; -1; 163346672; -1; 989550086; 752058007; -1; 794725085; 775731633; 408260961; 478904773; -1; 927288029; 996089096; 951069234; 70628812; 396692312; -1; 306777708; 346641936; 823138469; -1; 221562904; 269109143; 807269786; 765524076; 728739986; 164948709; -1; 296734000; 482849714; 709785168; 919022387; -1; -1; 687324704; 31684086; -1; -1; -1; 753107567; 703170513; 30974514; 238157748; 883376037; -1; -1; 199246757; 347344706; 755715244; 966439330; 546857079; 775620762; 149388405; -1; 946406593; 107102870; -1; 754870486; -1; 340154379; 621491979; 184431514; -1; -1; -1; 712836203; -1; 623659640; -1; 398129974; 634085439; 816246026; 315899899; 339430285; 896388238; 477712215; -1; 13929224; 577566810; 542185506; 946444178; 366088116; -1; 419103140; 914879211; 664844095; -1; 772477234; 343508671; -1; 64552093; -1; 591142212; 281166102; -1; 555393268; 174900313; 6126929; -1; 34964043; 626713826; 877051422; 373160810; 108005764; 230730095; 483126347; -1; 754373891; 156273691; -1; -1; 101243357; 272883071; 48742355; 480758227; 832477701; 118243612; 854698858; 981582648; 787710686; 716161777; 824122436; -1; 550702603; -1; 406472181; 577728133; -1; -1; 50713645; 827650705; 210894122; 892102249; -1; 614049394; 445368871; 899720029; 608203139; 459961688; -1; 675102209; 193728407; 135635336; 923251655; -1; 316106091; 269851297; 210662121; -1; -1; -1; -1; -1; 42205940; -1; 6951648; 498449916; -1; 882974579; 757415893; 189874165; -1; 94182643; 974276655; -1; 787978591; 824197587; -1; 549815203; -1; 214041153; 85317414; -1; 384195452; 282725668; 295906013; -1; -1; -1; 255410206; 912747793; -1; 121799702; -1; 25455426; 245103240; -1; 877266865; 183510121; -1; -1; 453783173; -1; 801458361; 566922548; 181326287; 130497772; 412460149; 353924972; 354066981; 27174179; 906619305; -1; 478494204; 585427039; 448897298; 85450062; -1; -1; -1; 183060488; -1; -1; 513726477; -1; -1; -1; 269946087; 799137848; 888649442; 761136853; -1; 662390962; 161914278; 154479842; -1; -1; 562332014; 477296803; -1; -1; -1; 721916916; 858710402; 542123397; -1; 63714030; -1; 463966413; -1; 944813629; -1; 702539430; 560692557; 345597881; 852991748; 219232; -1; 261551655; 113681237; -1; -1; -1; 868448581; 777528981; 821296467; 992886051; -1; 497899586; 451263650; 469062906; 675982737; 126259411; 812825398; 263485696; -1; 645574205; -1; 235360097; -1; -1; 981217881; -1; 811067911; -1; 538212747; 783722301; 803700806; -1; 776724014; -1; 575091309; 688532756; 170567182; 699119508; 267584893; -1; 574343257; 277363661; 494472041; -1; -1; 142464989; -1; -1; 13604443; -1; -1; 636859019; -1; 178857910; -1; 64994099; 331160661; -1; -1; 590172738; -1; -1; 888713804; 996094049; 215023755; 575783795; 735929561; 880767173; 924730649; -1; 377320200; 605011079; -1; 538961153; 547095730; 149121469; 878069391; -1; 207287536; 752471665; 860197426; -1; 598919432; -1; -1; -1; 879364718; 413608912; 402623592; 264319667; 812831503; 228738354; 298881664; 343700393; 395256604; 628281136; 56555490; -1; -1; 226221475; 722104116; 87647850; -1; 572860998; -1; -1; -1; -1; 240001413; 868323293; 312675743; 731953765; -1; 911552003; -1; 423348663; 235622811; -1; 349444430; 745168544; 22556286; -1; 553054419; 984058353; 328083375; 125126126; 890233819; 169320476; -1; 23438239; 982742421; 902353515; 609408649; -1; 162965529; 966308386; 806186458; 700101141; 191855818; -1; -1; -1; 304632063; 938875957; 440946017; 48142737; -1; -1; 741831982; 541754659; 669265086; 56276649; -1; 570419537; 834132940; -1; 459103994; 446236474; 957086340; 445549983; 662714349; 880430165; -1; 915179785; 95389440; -1; 21537243; 790240777; 142631868; -1; 27837008; 933692192; 510458435; 710553166; 661181037; 627223952; 605061837; 887543700; 678432408; -1; 716486113; 777264988; -1; -1; -1; -1; 758792096; -1; 599372985; 724610248; 24371313; 664879237; 822035330; 809512141; -1; -1; 891265892; 25774568; 23588385; 751097959; 827424941; 956122101; 892162639; 701372870; 395754766; 594878735; 823287643; 227776098; 977227555; -1; 865373786; -1; 163169294; 534465159; 597413849; 245020992; -1; 738869932; 739749972; 756334366; 972863969; -1; -1; 439469406; 354143729; 716547079; 926707153; 294608918; 53606111; -1; 835249171; -1; 440799528; -1; -1; 448917473; -1; -1; 703043250; 751033643; -1; 898829505; -1; 420591237; 460590158; 45493402; -1; -1; 616160658; 503083391; 597587432; 286245049; 651016276; 832158722; 92636452; -1; 524100233; 887209444; 291810844; -1; 49810347; 28095404; 740171309; 650107068; -1; -1; 561063231; -1; -1; 221938844; 843108254; -1; -1; 123724741; 709865315; 327291250; 993402719; -1; 175964032; 160809181; -1; 919954185; -1; 633200624; 267615170; 677258130; 808107040; 862733714; 294467170; 168653180; 194161272; -1; 890732419; 898100341; 824954090; 748149915; -1; 459281660; -1; 236321930; 214000787; -1; 40964520; 363492995; 62205033; -1; 305675665; -1; 811446340; 584455261; 437512269; -1; 375785141; 507041310; 148454608; 719447369; -1; -1; 754335127; -1; 93173665; -1; -1; 735650376; 184832396; 490386041; 473874289; -1; 771246484; -1; 711433897; 384561834; 85510787; -1; 703562621; -1; -1; -1; -1; 117809050; -1; 673357376; 983406379; -1; 688318524; 308875786; 500005520; -1; 474726410; 406732289; -1; 6940591; 22912728; 901744251; -1; 567533410; 766936958; 969876196; 248896598; 921399426; 576599139; 3144508; 284511998; 356083306; 870574911; 999139863; 390358484; 705022179; -1; -1; 581527931; 434053; 606742634; 364205702; 431024632; 833722251; -1; 214900145; 762568200; -1; 4299000; 193619338; 953627619; 930167583; -1; 339610049; 939294998; 275628179; 583405756; 970781528; 236618450; 833365946; -1; 236641162; -1; 232414783; -1; 802084464; 320904325; -1; 862001713; 536128121; 215462622; -1; 83269066; 78653576; 219733661; 526605408; 74160203; -1; 137494754; -1; 650710083; -1; -1; 720058848; 117368000; 160843577; 820773627; -1; -1; 94364730; 423081129; 312593160; -1; -1; 328879433; -1; -1; 821181330; 514766156; 611805615; -1; -1; 987317181; 527367635; 891849478; 414747548; 313453999; 538797201; 223186218; 22017400; 489215254; 276626663; 178145926; 806069617; 459508030; 588967844; 423319441; 962033040; 370931118; 712372164; 554631140; 953252215; 464006952; 545404029; 661124672; 18014866; 479574236; -1; 725981971; 796896272; 141874445; 571222613; 402624164; 211628309; -1; 200910292; 441974224; 995968618; 842422545; -1; 982575037; 790331793; 292043252; -1; 344417950; 232063259; 898150855; 688964790; 427630251; 236248859; 219401874; 907440489; 412385452; 962536642; -1; -1; -1; 728660416; 857637052; 882421255; 148896944; -1; 915644694; 465360992; -1; 560942018; 526361822; 206459183; 780066714; 738730582; 443683678; 607288125; 141798199; 366510699; -1; 108112716; 892515226; -1; 769215371; -1; 674857552; 773784340; 177683809; 929787430; 792805680; 393077582; 814127630; 809044041; 872652489; 253982851; 236588195; -1; -1; 323730050; 981006691; -1; 186769956; 448552278; 43324097; 678213871; -1; 168343412; -1; 575663413; 951007276; -1; 652746942; 906705224; 386642023; 240215761; 678946988; 678491484; 307582930; 613386374; -1; 993221352; 79192019; -1; -1; 537522990; -1; 874965619; 792603386; 540048611; 697497439; 886016688; 459710577; 706838435; 604921742; 416804600; 33247307; -1; 206541050; -1; 682311116; 44960273; -1; 824253505; 546360378; -1; 90937921; 287269236; 459760320; -1; -1; -1; 75986991; 911193478; 934006348; 286000102; 406581226; 686656309; 190139257; 963646189; 796137656; -1; 945630315; 994054472; -1; -1; 452066191; 919698243; -1; 551823258; 678221492; 464928711; -1; 254100270; 637560781; 499242688; -1; -1; -1; -1; -1; -1; 118806944; -1; 504745842; 61281094; 240374717; -1; 875976490; 110706177; 542468050; 210662052; 325051455; 876483956; 729701359; -1; 545304075; 319510141; -1; 580099554; 444323153; -1; -1; 628924732; 110983642; -1; -1; -1; 554517380; 946966640; 183718707; 291545131; -1; -1; 771585786; 165586842; 891360379; 88659733; 690450384; 97803026; -1; -1; 929894395; 507437998; -1; -1; 10813408; 970376529; 175211041; -1; 576304418; -1; 562643726; 786747635; 476065887; -1; 944188800; 960290965; 638019970; 454206012; -1; 251233204; 934697663; 622491362; 809869684; 515266253; 555613160; 375634011; 231127364; 271845572; -1; -1; 340722060; -1; 44720018; 150454353; 332543253; 54888249; 488985961; 524241060; 782831709; 685206484; -1; -1; -1; 23368788; -1; -1; -1; -1; 501777847; 787593071; -1; 606442603; 666283307; 540683132; -1; 756115049; 961001621; 634996805; 270015695; 945667217; -1; 642793741; -1; 846914203; 899947419; -1; 790945032; -1; 131520752; 101162391; 619860076; -1; 656080970; 788504883; -1; 858910998; -1; -1; -1; -1; 324135305; 407954721; 790133024; 674056982; 226417669; -1; 362472341; 791943617; 34918655; 131823361; -1; 744724738; 208813132; 797139788; -1; -1; 799011821; 418045761; 550271075; 212537395; 977485315; -1; 974697536; 870757960; 744642817; 703177968; -1; 887149276; 156232077; -1; 385575895; -1; 830846430; 98849655; -1; -1; 19026306; -1; 577596601; -1; -1; -1; 822045669; 659900878; 677625783; 322353949; 264266415; 450028321; 869279405; 731515862; 362602343; 624054570; 46296883; -1; 745696532; -1; -1; -1; -1; 75197212; 34140956; -1; 332394603; 251204612; 476990493; 828805710; 32309956; 192857697; 111812388; 272375029; 478524948; 93160087; -1; 627629884; 324208680; -1; 998910881; 923544418; -1; 977578125; -1; 444504497; -1; 307880244; 400365054; 352086118; 924516496; 25916324; 405769529; 414221861; 621473061; 940703206; 42261744; 157648555; 942838866; 608369021; -1; -1; 360179317; 137093685; 711490410; -1; 380953289; 670059760; 802400014; 404087263; 319654340; 44815491; 864818972; 101065299; 517270707; 855123237; 421533745; 928708098; -1; -1; 763679962; 757352845; -1; 678677633; 342301450; 295687954; -1; -1; 598181395; -1; 640098641; -1; -1; 593564902; 488365264; 757869051; 277208; 565617400; -1; 952282891; 82409989; -1; 599158710; -1; 816263477; 260602631; -1; 727196461; -1; 587329809; 419594056; -1; 298132472; 38331578; 762026664; 51431369; -1; 191553981; -1; 595481050; 325142346; 833524137; -1; 883200760; 823604826; 442023402; -1; 927092764; 739727451; 310225567; -1; 928233596; 488962534; -1; 760736498; 197123807; 225042385; 367136375; -1; -1; -1; 884546223; -1; 54351268; 680843579; -1; -1; 361352471; 114758322; -1; 712544928; 3421397; 604051062; 315624716; -1; 554938100; 49729429; 408368965; 741925070; 719831732; 332504873; -1; 647801185; 496651526; 275587012; 479934921; -1; 208854631; 182300208; 353764016; 635133569; -1; 287015207; -1; -1; -1; 603208353; -1; 572813448; 501297790; 359645484; 794623071; 542695743; -1; -1; -1; 631076262; 717824229; 369977692; 116953421; 715264891; 874811219; 613880167; 121645006; 623387358; -1; -1; 690840662; -1; -1; 440233968; 71252039; -1; 594789092; 538800850; 227160140; 720053571; 290747792; -1; 324941880; 446047039; -1; -1; 117205422; -1; 264366201; 402110568; 406619514; 452829130; 372198805; -1; 480044297; 983976087; 418050197; -1; 35095552; 989045765; -1; -1; 489774626; -1; 358842657; 718766364; 586338650; 119129215; 353185475; 652270027; 188504524; 374870174; 968534883; 4500953; 852961467; 838035400; -1; -1; 284723737; -1; -1; 366375238; 824194566; -1; 176184395; -1; -1; -1; 939213517; 644119951; 484702850; 340871075; -1; -1; 283942350; -1; -1; -1; 213259693; 897031554; -1; 174551792; 122618373; 455349462; 398471994; -1; -1; 798771271; 524814237; 581253208; 776823977; 630616134; 546697472; 691080818; 234339751; -1; 821920444; -1; 720432110; 692647569; 863962832; -1; 291510341; -1; 732087197; 983038125; -1; 472236759; -1; 402216429; -1; 616947005; 667727382; 965463163; 533593265; 291425156; 371686976; 412911543; 639399673; 334949816; 82182480; -1; 725201269; 442308041; 128635211; 126425295; 993418912; 463264097; 265144826; -1; 432464576; -1; 364998929; 40248725; 505103424; -1; 609939836; -1; 632917901; -1; 826989211; -1; 541634276; 91917037; 23723290; -1; 531373045; 910308034; -1; 133395121; 293246969; -1; 84596423; 398436918; 83944640; 657227481; -1; 142230333; 687776813; 994548126; 321214755; -1; 977114717; 73990209; -1; -1; -1; 838784753; 189300583; 376865065; 764374381; 434057251; 495253792; 925193967; 762796516; -1; -1; 898471857; 873442313; -1; 820625734; 789527294; 671325641; 990829575; 336899326; -1; -1; 718734254; 906462697; 449936852; 993008108; -1; -1; -1; 36879025; 666695696; -1; 937850892; 237684298; 71679760; -1; 448135475; -1; -1; -1; 698878646; 175413490; 214992559; 182513088; 450538223; 531037010; 520235675; -1; -1; 925740034; 67490657; 983099887; 436560825; -1; 260796742; 165739385; 262262598; 49537328; 235926924; 756330069; 639135433; 348507451; 521450122; 301776854; 965804564; 520474470; 605919164; -1; 934939567; 48666493; 912434870; 760636136; 156986077; 938893800; 797476806; -1; 219241473; 73338095; -1; 424654942; -1; 815518317; -1; 129952140; -1; 388896654; 958927767; 320394411; -1; 629202648; -1; 898995435; -1; 921434805; 592085295; 774226685; 647349682; -1; 82225876; 440895477; 374583094; -1; -1; 381149671; 750357607; 713961233; 631040066; 102396333; 228518063; 867808855; 280597334; -1; -1; 226465363; 985515420; -1; 467359798; 893349382; 199006445; -1; 846439851; -1; 885253625; 282697740; 150507069; 445680709; 852958358; 71347724; 860561032; 545958337; 33203200; -1; 620875084; 201991001; -1; 424545931; 22369028; 960390528; -1; 746339279; 215772947; 730867524; 968731337; 253631476; 531777958; 995358403; 912074904; 587443583; -1; 533985414; 384317810; 381286300; 368198117; 243865256; 187805617; -1; 447985026; 699102850; -1; 278926203; 850379120; 942485985; 274370316; 720895244; 397309650; -1; 200534312; -1; 67718861; -1; 590219032; 863887931; -1; 189546691; 49056953; 901741421; 860977151; -1; 842021082; 1617953; -1; -1; -1; 534743670; 570493256; 653131787; 422890524; -1; 935564268; 987033934; 791602738; 790769720; -1; 222341878; 543411897; -1; 47989174; -1; -1; -1; 767332077; -1; -1; 979239716; 838156347; 835652876; 522916295; -1; 537909728; 331291201; 391550351; -1; 709328796; 514166927; 715710889; 474932527; -1; 272726749; -1; 178693649; 287438017; 485402421; 815071527; 617217963; 158098934; -1; 583664089; 946847407; 12747050; 932888560; -1; 623686417; 692603874; -1; 68809765; 586960075; 920789290; -1; 33614870; -1; -1; 493336277; 800800723; -1; 766052474; -1; -1; -1; 31400040; -1; 200636547; 233098664; 686643671; -1; -1; -1; 689467286; -1; -1; 159187411; 18414582; 656919216; 945272708; -1; 396143421; 79334538; -1; -1; 501315126; -1; 98402453; 241646647; -1; 253927301; -1; 506678869; 873910704; -1; -1; 984245805; 236508806; 454123727; 14052974; 179802467; 515218388; 420590319; -1; 540111282; -1; 574856866; 909860933; -1; 938767171; -1; 112331789; -1; 184856548; -1; 276059850; -1; 543919635; 87935908; 508527455; 20711327; 166150986; 757558616; 437644280; 609878321; 752649707; 817831377; -1; 59647314; 885607176; 914394022; 221773677; 969059530; 853932176; 760003259; 844350741; 807414364; -1; 391816684; 695338971; 742116367; -1; 78964587; -1; -1; 21067046; 386541023; 605814250; 921850269; -1; 621414604; -1; 722083799; 458584033; 283522630; 862584130; 688989599; 762787575; 731344829; 45845433; -1; 611111463; -1; -1; -1; 409378026; 175624783; 419392783; -1; 370129654; 722564089; 72594748; 231209339; 980022506; 832513949; -1; -1; 481201618; 834907429; -1; 87006429; -1; 157027001; -1; 353180955; 398336962; -1; 308187412; 103788260; 485714073; 514491966; 150611826; 410408220; 493836189; 881244909; 598671147; 348520784; -1; 926748990; 143242610; 724855706; 846205395; 610081006; 939020368; 344596790; -1; 435712419; 979237741; 275923681; 313622874; 721419157; -1; -1; 258335956; 691133178; -1; 704697147; 313926848; -1; 615274827; 109096698; -1; 382353374; -1; 864736278; 492696842; 403356838; -1; -1; -1; 400140766; -1; 185139735; 929820075; -1; 401146654; 45212659; 893743026; -1; 129642129; 65662323; -1; 350093938; 435628692; 605185539; 892223188; -1; 207561677; 959462778; 653900733; 935993529; 729263242; -1; -1; -1; 886228001; 493052547; -1; 132210513; -1; 165247543; 421863658; 474906483; 845305826; 41500070; 88357968; -1; -1; 492096867; 735139146; -1; -1; -1; -1; 355813255; 373872106; 243349487; 806874602; -1; -1; 138631791; -1; 805521907; 526418847; 481831977; -1; 942982933; -1; -1; 664648747; 505993528; 311322166; 761928417; 266298279; 503586890; 542254349; 783847366; 174132952; -1; 488592965; -1; -1; -1; 631639714; 386385653; 103728881; 634748761; 483714659; 343978068; 77742125; -1; -1; -1; 806345283; 524718609; 217714666; 537125940; 392545014; 55940204; 897377313; -1; 197395255; 720399560; 566881132; -1; 404309822; -1; 442380316; 522014059; 997930947; 189596720; -1; -1; 97578558; 500872428; -1; -1; 481750683; 676543540; 445709818; 595717209; 818277253; 675623080; 603478347; 809375788; 393999575; 527948597; 403545096; 113759764; 114142726; -1; 522315643; 526821573; 507741797; 279677287; 30470310; 449857343; 931237366; 850237714; -1; 505528913; 340733185; -1; 264419432; 475944119; 767332436; 837613187; 698640355; 15729915; 699846304; -1; 444505226; -1; -1; -1; 397384436; 6377381; 919544671; 84974433; 671388752; -1; 297876547; 793683989; -1; 566532647; 356903904; 124853857; -1; 675491683; 62086528; 218543245; 274981731; -1; 598467827; 528453272; -1; 895509305; 916016806; -1; -1; -1; 55172407; 99167918; 4783693; -1; 112311295; -1; 761017035; -1; -1; 317983342; -1; 88050923; -1; 781723023; 110184877; -1; 360859378; 546811164; 723242864; -1; 69647193; -1; 311406887; 505813765; 942687132; -1; 269720682; -1; 962889187; 16228426; 433148425; -1; 423968272; -1; 611936338; 71007711; -1; 881574901; 610528759; 454828827; 261599424; 173818656; 115034987; 368535398; 866583733; -1; -1; 559912820; 862440791; 520157786; 532865277; 618089307; 926104876; -1; 612334249; 998238354; 24738983; 574221293; -1; 195937395; -1; 962176362; 605898815; 194422713; -1; 156204176; 170960267; -1; 741678459; 18524138; 856606044; 886284546; 439594289; 360194098; 654436880; 345575391; -1; -1; 347835401; 755792995; 215739988; 940845598; -1; -1; 822692746; -1; 598321298; 844494041; 7327661; 513342073; 169875862; -1; 724775118; 989461914; 842522699; 992881002; 284085599; 675103180; 415457582; 833880499; 566015517; 226654786; -1; 474588142; 233300916; -1; 295629031; 983149376; 185739465; 511920280; 426860192; 501498692; 677214252; -1; 434591121; 757808269; 947278733; 928445402; -1; -1; 568241395; 807583359; 722445353; 853435805; 831769733; -1; 710413415; -1; 358199153; 895804594; -1; 35402427; -1; -1; 84538343; 684943494; 181656674; 318154384; 338393117; 311906712; 207033841; 600852962; 452304927; 463010882; -1; 615826966; -1; 840236232; -1; 444083795; 472335492; -1; 858067367; -1; -1; -1; -1; -1; 120911111; 504462408; -1; 764620354; -1; 926936292; 94532583; 492984066; 116287385; 996713602; 669037147; 994069770; 588950549; 653605479; 478476713; -1; 194381119; -1; 216894968; -1; -1; -1; 181656939; 299694032; 578236390; 506194479; 161401394; -1; 768332453; -1; -1; 686776499; 192749535; -1; 265622784; -1; 605641005; 907102497; 42656508; 302689968; 340651621; 57951349; 190658627; -1; 322441213; 686406465; 615626266; 268807001; 544457231; -1; 787085936; 30461462; -1; 126567292; 373022901; 838245983; -1; 740534430; 700745979; -1; -1; 388752450; -1; 561968860; 843250501; 903488725; 882838787; -1; 578753690; 787486588; 535213100; 546546054; 798101408; -1; 983954554; -1; -1; -1; 914724609; -1; 761007997; -1; 211147105; 498907339; -1; 245250226; 303151940; 518589296; -1; 787289506; -1; 480533759; -1; 534421598; -1; 335816974; 655890583; 832588118; -1; 877640590; 420589117; -1; -1; -1; 61229984; 734911512; 86017455; 261452554; 487358392; 571153212; 740028840; -1; 558289500; 155539692; 725767022; -1; 811158582; -1; 611919513; 767869564; -1; 334125382; -1; 526149703; 63782224; -1; 429786504; -1; 57534503; 573136730; -1; 378441247; 328574349; 725394622; 417606353; -1; -1; 872198363; 630550364; -1; 692320928; -1; -1; 75657252; 629807342; 623846043; 904489499; 590843706; -1; -1; 478458394; 397803321; -1; 332549918; -1; -1; 156880952; 851055599; 692798307; 511563733; 377489965; -1; 334498437; 932568846; -1; 367578025; -1; 163198425; 685032011; 49469563; -1; -1; 791634218; 38536813; 74435781; -1; 767562198; 216580418; 462847983; 725072640; 540126544; 156432353; 208893228; 596746302; 214821238; 839892620; 887970973; -1; 939244915; 633746830; -1; 600856433; 373400284; 583500901; 512921385; -1; 708579085; -1; 895067826; -1; 710699346; 385126675; 570974295; 940175901; -1; -1; 425778580; 108724381; -1; -1; -1; -1; 253047774; -1; -1; 385291589; -1; 855015791; 25803701; 325266100; -1; -1; -1; 962161785; 511499133; -1; 158452950; 599468468; 308002491; -1; -1; 19965841; 74443067; 212044453; 311959467; 421481201; 660884106; -1; 60956902; 771089797; 218104914; 721398819; 285394946; 320244865; 923063519; 66518875; -1; 981014984; 646604389; 606829907; 644083062; 97038787; 753544209; -1; -1; 937136343; -1; -1; -1; 836862808; 51295136; 445889484; -1; 166731421; 367902749; 309278280; 668866194; 348818015; 828172309; -1; 918158981; 858837074; -1; 136768609; 812973085; 542557671; 615337062; 644851501; -1; -1; -1; -1; 271496905; -1; 898156986; 684174249; 903622659; -1; -1; 823786036; -1; -1; 593014708; 562012344; 320289385; -1; -1; 977289231; 935714305; 812515391; 297096641; -1; 756989456; 305406956; 527857132; -1; 795583371; -1; -1; 970119262; 14882320; -1; -1; 905397396; 662958140; 397966377; -1; 304968738; 391580916; 154384810; 791232742; -1; 428562676; 250632726; 848783028; 585930138; 288431832; 565770371; -1; 450939636; 45121203; 355023299; 693113658; 270964808; -1; -1; 343939986; 952268591; 821081115; 825061655; -1; -1; -1; -1; 780241367; -1; 364382443; 629234166; 563796931; -1; 492064171; -1; 117850532; 257061505; 924635759; 248049718; -1; -1; 7389480; 537084372; 649886674; -1; -1; -1; 230097940; -1; 599925875; -1; -1; 831945961; 132842491; 733521841; -1; 702677436; 477268026; 54084495; 642682571; 605324270; -1; 905514117; -1; -1; 893761935; 619795745; 112163064; 494711963; 189801457; 390740477; -1; -1; 962933253; 144742356; 564502793; -1; 41814209; -1; 3482073; -1; 332958647; 88886871; -1; 649220063; 332591013; -1; 958260658; 287076899; 916800227; 709175980; 9874897; 645444599; -1; 867142581; 712927169; 13497202; 259360193; 971560846; 830435292; 258192937; -1; 652579403; 967532247; 577093005; 204549618; 301156729; -1; -1; 15394080; -1; 15631934; -1; 126236337; -1; 802712337; -1; -1; 84365019; -1; 784606079; 336489760; 428151998; 309878869; 540133997; 319680548; -1; 21295925; 439334130; -1; -1; 684567875; -1; -1; 375574605; 211341299; 396224903; 324110801; 555276699; 841206065; -1; -1; -1; 161658884; 348436086; -1; 515563123; 506940316; -1; 723609952; 906552511; 177993422; 18971636; -1; -1; 852694568; 633757886; 444963905; 417744208; -1; 304275905; -1; -1; -1; -1; 304876393; 286264012; -1; -1; 618033745; 753359678; 358821706; 826223022; 227539870; 767542276; 185560498; -1; 704944101; 162069554; 715140653; 505224301; -1; 555828270; -1; 539343472; 713534979; -1; 112864007; 921986501; -1; 243388349; 471589253; 728201413; 711829751; 923860150; 73165908; 131470375; -1; 182301812; -1; -1; -1; 739219377; 156862890; 500718068; 169100648; -1; 755211572; 869656977; 555329948; 622015828; 947722661; -1; 885283172; -1; -1; 768300586; 338814053; -1; 115504397; 172265045; -1; 398395297; 332331183; 70054143; -1; -1; -1; 345928271; 474480619; 226573853; -1; -1; 951372548; 416475251; 915513743; -1; 890640390; -1; -1; -1; -1; -1; 294660899; 452520228; -1; -1; 337005705; 199622721; 190344826; -1; 480984894; -1; 385924725; 980723916; 209188728; 278043099; 316469276; 292816534; -1; 648575992; 674448374; 356097492; 44823042; 418008595; 427122636; 521419507; -1; -1; 103437710; 692723299; -1; -1; -1; 734642192; 318630466; -1; 837492619; -1; 80087889; 634441255; 938964729; 834270573; 909606959; 214166288; -1; 93784772; -1; 814638157; 116344004; 974627695; 821812900; -1; 753428792; 289132575; 24721505; 949632021; 112134540; -1; 499992458; 374276542; 706047062; -1; 2678595; 99707190; 15657426; -1; -1; 37730795; -1; 978021751; -1; 112859672; 248250878; 709342867; -1; 373952442; 403153744; -1; -1; 932148584; -1; 637783141; 999164572; 932304036; -1; -1; -1; 16281187; 263691601; 190310615; 908288099; 548707221; 166377785; 687922829; 49604603; 84416866; 211992825; 483067028; -1; 484138808; 346174499; -1; 432751455; -1; 943422915; -1; 919971673; 241594337; 106749539; 30079469; 793276958; 596648870; 858456071; 535177850; 746166631; -1; 87514983; -1; -1; 350180195; -1; 697776664; 54457404; 762952295; -1; 261870770; 511048691; 927966480; 797601573; 711078608; -1; 704864230; -1; 439595756; -1; 357109013; -1; -1; 961087644; 674394807; 743520948; -1; 223690285; 916103474; 988353448; -1; 712668250; 239328219; 658283486; -1; 4807063; -1; 167669252; 344180791; 370622549; -1; -1; -1; -1; 960001600; 654650163; -1; 645507927; 257220364; 887293842; 531998843; 798292404; 965850131; -1; -1; 647727004; -1; -1; 942064354; 379210422; 552167266; 447020399; 729781759; 844648976; -1; 632346321; 153063366; -1; -1; -1; 453387062; 174659776; 163519278; 647974584; 157230982; 925814241; 496424744; 975539835; -1; 586260306; 252746597; 983071044; 754971904; 917770135; -1; 656770202; 561283770; 243693402; 115866793; 568127507; 385807589; -1; -1; 819113910; -1; -1; 875366286; -1; 983050699; -1; 482006877; -1; 348771453; 551154497; -1; 602474110; 946255872; 979213452; -1; -1; -1; 222373483; 274354413; 435638450; 761309918; 631948075; 243254320; 235753355; 802758139; -1; 245072160; 537582720; 182005435; 758454890; -1; -1; 958603051; -1; -1; 423165648; 305096939; 109464; 42272686; 378541633; -1; 713011188; -1; 835266091; 759435462; 279006213; 722226847; 972393480; 230978828; 597195923; 931180478; 298040138; 848778665; 868503773; 444767576; -1; 336875495; -1; 232801753; 208206515; 439046635; 113890827; 246091274; 859255639; -1; 464464351; 881554534; 807445837; 7053266; 936007698; 224464963; 496240695; 811108841; 714392279; -1; 281199448; 298740289; -1; 794521161; 240040912; 2785721; 799301085; 819800717; 748543398; -1; 826225143; 881221444; -1; 719747631; 421798308; 806981638; -1; -1; 921608190; 637303645; 652683531; 748972845; 246470723; 559988072; 816789667; 907221179; -1; 779625543; 747130278; 286859167; 561511432; 677594253; 62717604; 162357866; -1; 164846323; -1; 167337854; 22041815; 474484890; 717653735; -1; -1; 426594521; 562596924; 383457807; -1; -1; 196094627; 408440773; 127286459; 106830885; -1; -1; -1; 931902162; 915263933; 586542688; -1; 673367555; -1; 932125166; 626774755; -1; -1; 439683892; 854522941; 622447320; 141773047; 714773658; 709498690; -1; 945340548; -1; 551727990; -1; 746520583; 3408366; 699588326; 168954127; 45204087; 147529526; -1; -1; 162613275; 101840522; -1; -1; 942649403; 220091095; -1; -1; 843074346; 214094214; -1; -1; 269784890; 226089517; 753061490; 323268481; -1; -1; -1; -1; 816735649; -1; -1; 44828643; 347070028; 997521353; 358963524; 171728262; -1; 275393931; 481312414; -1; 631667245; 323107194; -1; 625307473; 48893152; 111399976; 693947506; 657331078; -1; 530963683; 527559967; -1; 787728835; -1; -1; 799361065; -1; 987875872; -1; 678529678; -1; 30884397; 327703776; -1; 588098814; 352169314; 502884232; 477146755; -1; -1; 277838123; 670527357; 53686733; 897833826; 433222596; 314338866; 982391899; 313037783; 496159976; 866540822; 591156457; 278967940; 194906023; -1; 926086514; 176731393; 317264014; 121094381; -1; 503225849; 408765295; 262721500; 699768149; 9915891; 488252614; 294714346; -1; -1; 395704895; 359145712; -1; 822846864; 146809244; 128791667; 325085300; 254473390; 686751742; -1; 866573114; 830076250; 667384716; -1; 520381475; -1; 604410460; 449967293; 346798486; 739412278; 48348446; 706967034; 515187798; 310081040; 587150109; 108243380; 600834113; 611101813; 165298820; 630456607; 867970317; 888500529; 180578807; 432213949; 767405680; 946042857; -1; 245165055; 881496038; -1; 832707985; -1; 193129619; 771270357; 309176089; -1; 30937590; 620371694; 185716856; 309514325; -1; 506241901; 707184244; 759250872; 317771078; 967386792; -1; 350300732; 211194257; -1; 883372504; -1; -1; -1; 393287436; 341144467; -1; -1; 951994511; 575180594; -1; 840959327; 734927407; 3925045; -1; -1; 447015369; 719721659; -1; -1; 550325320; 768434194; 14171389; 505339386; 37675434; 392936434; -1; -1; 879799370; 798237607; 4869543; -1; -1; 592977913; 52079057; 577651681; 418712588; -1; 678174401; 877694718; 667995294; -1; 131072205; 742668026; -1; -1; 381195721; -1; 306084335; 927879283; 6018131; 409781494; 642746344; 329031254; -1; 317561146; -1; -1; -1; 93445036; 493418708; 797774029; 424660242; 88675037; -1; 457809408; 220971346; 595174765; 208061250; 127150682; 802109290; 356407546; 399478465; -1; 282148029; -1; 301681185; 416601418; 526156105; -1; 752894566; -1; 999364505; 677376676; 64462862; 112582681; 378823723; 872081149; 660329696; 256234303; 402701388; -1; -1; 655121694; 612628987; 635244836; 316092620; 964090275; -1; -1; 572915348; -1; -1; 599163420; 642887810; 710768885; 389856178; 231748810; 56422068; 64615383; -1; 590253856; 408342579; -1; 883755264; -1; -1; -1; 313735160; 152221942; 763348122; 976217536; -1; 241092041; 362580072; -1; 962387366; 119037407; 56670165; 382352904; 470422916; -1; 228555290; 721447035; 979428969; 847415091; -1; 714007094; 936351138; 748772484; 724214338; 206813085; -1; 853321410; -1; 676008290; -1; -1; 532681092; 368134922; -1; -1; 363119376; 227242944; -1; 412466740; -1; 934111158; 196979399; 196728684; 357126765; 703299925; 801932131; 789486797; 69774706; 785621906; -1; 762017746; 161712365; 766280530; 312946167; 549170416; 13333361; 786879745; 829761119; 185516148; 407195889; -1; 823622705; 436974376; -1; 654357908; -1; -1; 937179177; -1; 612283949; 823480034; 126071137; 852593377; 977614383; 167653283; 343874031; -1; -1; 435466228; 442601586; 262504894; 522742388; 858439483; 754582700; 778460858; -1; -1; 558365470; 475307472; -1; 417862103; 679715222; 178517022; -1; -1; 248728928; 383136608; 903281627; 582873745; 820479145; 887393541; -1; 149551176; 240907547; -1; -1; -1; -1; -1; -1; -1; 968185681; 255246486; 888538156; 53335140; -1; -1; 387949797; 437707884; -1; 765904271; 164608657; 913053641; 40977940; 55311435; -1; 53238268; -1; -1; 417302974; -1; -1; 298382574; -1; -1; 515209466; 373242079; 823232743; -1; 999327900; 246694356; 940464961; 322468288; 716998593; 480540504; 192800774; 98996669; 727832686; -1; -1; -1; 256690289; -1; -1; 46562551; -1; 363143919; 632891915; -1; 888026553; 142721069; -1; 391219017; 489384239; 175612748; 154196093; 978265342; 281683413; 936627507; 667522068; 732942291; 527903767; -1; -1; 508278248; -1; -1; 775079665; 158172657; 730757010; 265634071; 884253108; 988225956; 829495745; 450546444; 855179122; 502814950; -1; 628341961; 448420528; -1; 316607565; -1; 712802165; 511721998; 84017174; 483625515; -1; -1; 850752078; -1; 856047231; -1; 285470951; 605587288; 489633258; -1; 783295501; -1; -1; 266466083; 409249045; -1; 929661504; 100754749; 456838106; -1; 842007304; 575246413; 564356186; 521948113; 800390165; -1; -1; 273481770; 913777264; -1; -1; 849846095; 483607602; 979144512; 391450837; -1; 615854326; 272072399; 933237110; 843166673; -1; 816961250; 819643183; 449219324; -1; 170302297; 787068965; 665015284; 879379207; -1; 835859942; 467412707; -1; 75148013; 282715462; 84631727; -1; 642112845; 190731193; 178592304; 550189025; 314048949; 918205667; -1; 963403509; -1; 725795573; 966810778; 997714140; 121268709; 496014975; 828991572; -1; -1; 961792415; 406398554; 787861892; 19347378; 25121821; 810317187; -1; 600299411; -1; -1; -1; 51419687; 655607818; 686402962; 704974992; -1; -1; -1; 487991034; 932024050; -1; -1; 229463430; 808730095; 895999703; -1; -1; 533164213; 767736890; -1; 147536417; 416721388; 801805566; 296296292; 30519968; 884344875; 226523532; 869134317; -1; 72193493; 131848489; 274403288; -1; 688430572; 70632364; 650382775; 95520823; 654854578; -1; -1; -1; -1; 52723654; 737209653; 671930639; 166023803; 558307768; 288170300; 485662422; 295261754; 502849344; 987980162; 593682266; 463580936; 774050665; -1; 3098197; -1; -1; 209493041; 592613488; -1; 267888549; -1; 843068733; -1; 491859980; -1; -1; -1; -1; -1; -1; 623388650; 703432704; -1; 221638250; 606244744; 921338411; 632049593; -1; -1; 183572399; 23291110; -1; 452508420; 490687002; 39157426; -1; 833249149; 714692795; 473241133; 110874778; 551445112; 923745269; 662604792; 126646214; -1; -1; -1; 467624827; -1; 283352757; 47222146; -1; 276556616; 799446717; -1; 630472612; 322568711; 923453169; -1; 812627356; -1; -1; 473303651; 112433780; 106441945; -1; 650142976; 871402428; 981666177; 882927877; -1; -1; 300812398; -1; 837351473; 246847253; -1; 500363118; -1; 11461755; -1; -1; 124758821; -1; 268446096; -1; -1; -1; 656509000; -1; 906814325; 978555204; -1; -1; 76461817; 714133394; -1; -1; 424076967; 71316495; 815271254; 486454498; 624824764; 766888418; 388429625; 337893369; -1; 370311326; 759508185; -1; 902860357; 550943324; -1; -1; -1; 84669415; 260825717; -1; 332681451; -1; -1; 552106305; -1; -1; 734800369; 454904617; -1; 383503269; -1; 364336474; -1; 607044735; 940700090; -1; 170906893; 446008971; 498327382; -1; 261571707; 393405399; 178041754; 35982617; 241932337; 166367141; 137290907; 18733498; -1; 40489267; 895734916; 801451049; 130645654; -1; 666570030; 605351744; -1; -1; 62287294; 9617479; 159628416; 962268033; 718730995; 835275370; -1; -1; 730188345; -1; 345750317; 81660700; -1; 845845580; -1; 199577642; 60596273; 673599630; -1; 412176600; 188761844; 899262017; -1; 339432187; -1; -1; 963685901; 22907066; 847181208; -1; -1; 181748133; 264341598; -1; -1; 591917751; 158038277; 703646855; 442704652; 916942369; -1; -1; -1; -1; 629730365; 658559502; 192253195; 848412654; 60438632; -1; -1; -1; -1; 420791154; -1; 41224849; 671246479; 907863689; -1; -1; 645455017; 835077928; 954100562; 689591673; -1; -1; 188761446; 174742502; -1; 197399254; 739728736; 847121270; 789528652; 124837600; -1; -1; 545847501; 556043940; 112559620; -1; 489415736; 24431161; 893162528; 433199833; 307171544; 768222877; 349315112; -1; -1; 826056434; 850924603; 488758387; 768844395; 237674452; 861520153; -1; -1; -1; 881591369; -1; -1; 656198155; 84408378; 519505703; 748409510; -1; -1; -1; 471210423; 811798263; 852599665; 819353546; 123049465; -1; 779611108; -1; 369843098; 133746241; -1; 385827426; 841771585; -1; 183119024; 946285543; 853750002; -1; 563486280; 609772004; 413495454; 564268541; 426629429; 855646395; 447947476; -1; 489492316; 94552626; 616661766; 228767758; 440220104; 245861730; -1; 778967454; 630531402; 218882570; 492917274; -1; -1; 699274269; -1; -1; 375288486; -1; 369824029; 416407137; 223891180; 518962031; -1; 465996388; 588979618; -1; 834033980; 481150071; -1; -1; 335487924; 362178015; -1; 579272650; 950937670; 952157060; 512540591; 965585336; 798297311; 243258896; 347261436; -1; 462301734; -1; 258066193; 774554096; -1; 823355138; -1; -1; 717382669; 891409647; 662209012; -1; 942097430; 46380380; -1; 912542146; 909182255; -1; -1; 672261687; 851394900; 289107309; -1; 350901715; 909972777; -1; 697758568; 152085326; -1; -1; 577305064; -1; -1; 215434934; 427849237; 551705182; 150530016; 756296558; 656206179; 419336403; 160860824; 460568293; 746396166; 542920463; 934221348; 752205870; -1; 244906337; 660921646; -1; -1; 873344290; 559309327; 469856227; 291127842; 879463805; 432534890; 946874291; 99135303; 700869518; -1; 516394924; 837882268; 399048708; 644409088; 616399487; 529585491; 317843119; 515948699; -1; 644186382; 447588630; 36656207; 25391758; 237511666; 322224016; 606729758; 202590248; 905840537; 537153281; 919931136; -1; -1; -1; 463177069; 252612927; 343362829; 666361099; -1; 287959048; 639389512; 438112684; -1; 552733105; -1; -1; 367778203; 145996919; 600198114; 491096860; 511471348; 237855215; -1; 112743869; 741978929; -1; 345366861; -1; -1; 241152980; 304459576; 969113932; -1; 624938174; 350292069; -1; 269951850; -1; 753212078; 345936917; -1; -1; 767428910; 249133251; 516934542; 630620823; -1; -1; 924794443; -1; -1; 413451834; -1; 351579041; 86498496; 475681932; -1; 387368875; 756720862; -1; -1; 53146142; 400342428; 349444071; -1; -1; 331878100; 978107778; 687069171; 995400077; 655767412; 983569674; 683277870; 957017078; 416752318; 322699623; -1; -1; 583491553; 207346440; 848542886; 180634327; 431143469; 542463754; 809106009; 318093597; 784795466; 824346443; 300830165; 345238466; 485998103; 812687451; 347840713; 692257058; -1; -1; 437437541; 993427450; -1; 538934923; 889338893; 111543589; 970436994; 631643824; 814632162; -1; -1; -1; -1; -1; -1; -1; 426641298; 447322887; 283616595; 440433792; 621285839; 980146873; 893240414; 453809319; 484322613; 493978692; -1; 618520617; -1; -1; 312191868; 603282923; 414788528; 683324026; 830007072; 292130958; 231033989; 104177034; 279250302; -1; 51238488; 93646816; -1; 608179476; 173907012; -1; 888150134; 627756978; 919651996; -1; -1; 251516178; 563489957; -1; 901887312; -1; 312562082; 637656208; -1; 39913281; -1; 826644993; -1; 19318270; 151575934; 356334675; 803530996; 802545494; -1; 458024287; 251700598; 50045123; 663724150; 205220591; -1; 540635895; -1; 905684325; 331521569; 622684640; -1; 471228194; 244435088; 279482470; 616252083; 731464180; -1; -1; -1; 830569972; -1; 85579063; 872543501; -1; 63347860; 134073449; 757926225; 753961440; 909326126; 14387109; 835581388; 976407043; 687523433; -1; -1; -1; 733852239; 752444392; -1; 649718377; -1; -1; 477274619; 776643694; -1; 556137402; -1; 12818572; 915761347; 750969442; 241599807; 454157138; 762339719; -1; 550526938; 664098137; 40430929; 765384958; 260896983; 40177286; 946644916; -1; 312511374; 94023687; -1; 606216014; 985963815; -1; 569192332; 139450697; 843669544; 623662101; 394820303; 674527048; 121419625; 794556118; 580389423; -1; 487956652; 194576075; 328843206; 282484828; -1; 300546887; 848690074; 867756436; 548204304; 801638012; -1; 698586647; 995434591; 906686491; 832506063; 848561504; 455766755; -1; -1; 965926238; 590597125; -1; 496423117; 828510503; -1; -1; -1; -1; 628823785; 446604754; 925848919; 378796133; 374438702; 343585894; -1; 862086516; 102807408; 975550837; -1; 815015080; 601004821; 908746283; -1; -1; 587658414; -1; 438644999; 864617444; 743820149; -1; 146733595; -1; 809564890; -1; 795466953; -1; -1; 600880010; 139872617; 988467956; -1; -1; 139855069; 160188027; 473816098; 139236089; 123149894; 317757429; -1; 586880970; -1; 989571869; 341360174; 82152295; 316587049; -1; 544157900; -1; 458474515; 402254114; -1; 795371184; 103657376; -1; 628949650; 345512941; -1; 951516070; 793913927; -1; 360796003; 920753479; 260565282; 427806472; 521969385; 20290005; 270079877; 243841555; 966821709; 781911391; -1; 359345682; 264916680; 97883149; 539441308; -1; -1; -1; 477475932; 33190620; -1; 999223822; -1; -1; 144333047; 32073002; 517017687; 538804266; 518747764; 399406908; 38148536; -1; -1; -1; 299117772; -1; 464037690; 442217471; 239203759; 593286650; 895849321; 813554504; -1; 143164634; 871755699; -1; 846352651; -1; -1; 864478580; -1; 261583978; 843662537; -1; 208877829; 554538019; 779929219; 507886644; 556038014; 339975873; 965315398; -1; -1; -1; 538789747; 799613369; -1; 673568799; 349047562; 391044391; 233995885; -1; 157378084; 203583292; 977275883; 277611612; -1; 524346359; 996799567; -1; 576223179; -1; -1; 428797856; 99686900; 316710014; 20115725; 553400860; -1; 726102152; 399869155; 771028705; -1; 703650744; 43876521; 282789630; 444529246; 361938716; 540968978; 792636478; -1; -1; 945135199; 449933432; 903219500; 821152681; 673926794; 446603377; -1; 631201840; 219548058; -1; 830561751; 961271434; 733569608; 79882884; -1; 23134466; -1; -1; -1; 280844614; -1; 109516317; 793226077; 706346204; 41199894; -1; -1; 502192298; -1; -1; 333695775; 796640796; 302996583; 102432693; 780740854; -1; -1; 819256554; 648103331; -1; 122554013; 172165066; -1; -1; 153263798; -1; 855628091; 696914014; 243820724; 726400960; -1; -1; 236650960; 977931696; -1; -1; 995201316; -1; -1; 704240353; -1; 734992105; 473142194; 297225237; 444646025; 892295529; -1; 208830540; -1; 621883479; 981464279; 302881784; 285472594; 212430608; -1; 256901287; -1; 829024572; -1; 920109828; 638977099; 497417475; 428718419; 757452289; -1; 755132848; -1; 803826873; 41358584; 119440131; -1; 754043942; 754449865; -1; 329147596; 992564690; 618632254; -1; -1; 316433443; 857402073; 751495386; 366937725; 885243751; 703956359; -1; 320634524; -1; 209947790; 258212791; 736100206; 159494001; 64848241; -1; 77755745; -1; -1; 572287038; 571575436; 463238489; 869166484; -1; 116440756; 147472476; 439992038; -1; 27164600; -1; 484446623; 529726002; 707445564; -1; 857661143; -1; 332973653; 359753532; 774433066; -1; 630505306; 666948910; 595377441; 283619950; 349978502; 148750032; 895582106; 404275818; 811652891; -1; 876136776; 837525372; 920013416; 114930347; -1; 623195570; 538165214; -1; -1; 682286032; 635675093; 165084268; 733812839; -1; -1; -1; 944001075; -1; 399709231; 627981638; 878973467; 429755451; 780410489; 798968963; -1; 431294805; 328175695; 946175276; 106217208; 246306; -1; 985083018; 902292327; -1; -1; -1; 223436841; 852522473; -1; 408995123; 837084313; -1; 194933876; 659013943; 877148857; 236417014; -1; 487990029; 113473317; -1; 301144050; -1; 306539199; -1; -1; 102224352; 147753214; 327876730; 204350648; 420676569; 749805840; 384220865; 661570766; -1; 692833801; -1; -1; 910448048; 563984455; -1; -1; 718028407; -1; -1; -1; 120994065; -1; -1; 573865217; 717458660; 709620833; 856649051; -1; -1; 712971446; 564073096; 990634359; 397989984; 40283186; -1; 341836667; -1; 338391090; 110663437; 207137005; -1; 703535660; 78176444; -1; 381864441; 938255819; 467033709; 166623393; 794064955; 636280092; 923557476; -1; 886099019; 449173192; 48367933; 594299384; -1; -1; 122722703; -1; 498077422; 438989167; 717109573; -1; 937654721; -1; -1; 670265173; 68653912; -1; 56309167; 958788444; 837220463; -1; -1; 113178252; 569408307; 945485832; 132048865; 694806942; -1; 562934099; -1; 637545835; 375072150; 821976143; 167996806; -1; 510515000; 316649390; -1; -1; 5959665; 579462613; -1; 210917204; 305762788; -1; 947833983; -1; 54403441; 564616239; 875428500; 741743017; -1; -1; 138475540; 822600368; 501555361; 475329347; 64904548; 468580552; 950965726; 728533508; 470572453; 300057486; -1; -1; 6823763; 307399393; 794028214; 303672297; 414160420; -1; 542109714; -1; 833797319; 125521839; 336990526; -1; 709732905; 774315655; 18911795; 59061603; 787417414; -1; -1; 907939112; 40685909; 207409723; -1; 304431770; -1; 299257092; 953798033; 607593885; 443064709; 648794978; -1; 393467010; 773862856; 325963095; 83057313; -1; 944478490; 601802536; 505538559; 986965145; 521864862; -1; 257068082; 448725577; 333850426; 765504113; -1; 531502537; 175106578; 745911858; 213773200; 72619826; 750700131; -1; -1; -1; 997804270; 27052523; 351019384; 951588275; -1; -1; 227695077; -1; 438415179; 59721330; 671143168; 127381322; -1; 6608690; 113008634; -1; 839905889; -1; 764392727; 355006321; 529739080; 672487216; 507053247; 137879463; 646307390; 744254936; -1; -1; 836541665; 407955172; 142911880; -1; 335817583; -1; 49413120; 496695532; 811486241; -1; 925410254; 932512525; 458660686; 549502368; 445777183; 910944771; 444703146; 409501636; -1; 284336130; 522617897; 585652563; 812551497; 353562579; 50053074; -1; 244722397; 832648398; 817764935; 149975080; -1; -1; 56631758; 452146050; -1; 418574548; 964928719; -1; 686229463; -1; 745625089; 573465150; 958115975; 662075577; 605914693; 369951908; 638797249; 273750884; -1; 363495822; 912729879; 329131566; 155021494; -1; -1; -1; -1; -1; 959122219; -1; 861935282; 249526534; -1; 792484527; -1; -1; -1; -1; 701243475; 480013178; 160609880; 698510677; -1; -1; 34542408; 546331319; -1; -1; -1; 93491670; 321454767; 815609539; 891329422; 942208176; -1; 278657999; 711399680; 58320898; 838024321; 753842929; 193076178; -1; -1; 552638865; -1; 676251800; -1; 613387414; 952202601; 889725625; -1; 293025343; 466479229; 789481362; 498920865; 34319438; -1; 536415192; -1; 787624833; -1; 348706960; -1; 779555232; -1; -1; 541610429; 486989940; -1; 376229430; 731511027; 450650540; 776319272; 814419801; 827270292; -1; -1; 186794638; 130529203; -1; 331404793; 198961865; 874945007; 218103264; 157740599; 833289548; 884359651; 647077140; 879567146; 643518140; -1; 391091496; 588272920; 637703486; 413728910; 877728502; 895679855; 821482053; -1; -1; -1; 147800425; -1; 120121009; 787527783; 226617961; 673566417; -1; 962402979; -1; 679390936; 62502150; 399431052; 529953596; 70858021; 881102831; 296706129; 141100518; 759557423; 715485010; 913484841; 852241565; 623034647; -1; -1; -1; -1; 711684263; -1; 17679269; 150027609; -1; -1; 873857031; -1; -1; 442519303; 217613752; -1; 421244728; 462300133; 479403276; 167627815; -1; 12189401; 977105865; 59705843; 583654428; -1; 367477876; -1; -1; -1; 206236205; 589172960; 834404997; -1; 875555014; 151023726; 57894687; 469260910; -1; 997651978; -1; 980067251; 412135974; 809183390; 820908513; -1; 496489207; 882074116; 381600747; 385806253; 792441499; 810889617; -1; -1; 596858510; 998945202; 284408290; -1; 923676589; -1; 899365202; 201509140; 296248683; 865883714; 343960528; 544083505; 472780634; 400250760; 969540385; 990682447; -1; 254865300; -1; 162252191; 993573268; 13411910; 574294875; 338281860; 766595529; 857992515; 905167227; -1; 612404569; -1; 501846352; -1; -1; -1; 884779237; 585607828; 48263539; 469481313; -1; -1; 141210473; -1; 910806531; 15259554; 66941769; 347059434; 169052774; -1; 899377315; 952298170; 182053107; -1; -1; -1; 852521059; 854999513; 322131968; 840147697; -1; 548174924; 572059718; 551964925; 363829597; -1; 617362935; -1; -1; 725970171; -1; 927495304; 976858327; -1; 729785784; 760266201; 533113581; -1; -1; 600779481; 74974853; 782478560; 284939303; 995835914; -1; -1; 210485793; 151748642; 435158305; -1; 330413958; -1; -1; 365330819; -1; 694336616; 188581819; 669229518; 699221095; -1; 313718483; 275474209; 654555209; 99826111; 57699615; 791776756; 656192704; 41671527; 448028588; -1; -1; -1; 408252114; -1; -1; 25257195; 164317005; 58026318; -1; 641032423; 641953711; 60406157; 267210231; 339628063; 280397607; 729323254; 104015990; 562605296; -1; 600153418; -1; -1; 973797965; 494711440; 557102746; 483574896; 724819157; -1; 806956931; 841720793; -1; 564626318; 598007937; 31538957; 194608277; -1; 587421950; 596091490; 74410139; 969971789; 179549532; 709838869; 985357430; 996691924; 837108027; 268133849; 119337402; 321964713; 77289448; 927011334; -1; 55095935; 592260914; 271624761; 812161753; 810677469; 495188974; 404295672; -1; 65570760; 647637521; -1; 539855783; 98981438; -1; 416715754; 130438443; 35809293; -1; -1; 415969034; -1; -1; 188800817; 275205525; 306581937; -1; 716640235; 146635938; 115219408; 542247984; -1; 796802227; -1; -1; 355805116; 223461934; 533762232; 577751344; 34324544; 896027823; 401339164; 434722597; 504419334; 319619002; 212241294; 303377257; 806115735; 814975864; 555845263; 343678580; -1; 13884300; -1; 824787491; 976070082; 847098745; -1; -1; 539045364; 320856884; 919729242; -1; 712378571; -1; -1; 445396945; 132775703; 470540349; 558381554; 132246424; 272530490; -1; 814271646; 923847553; -1; 794514908; 404300332; 25824149; 671805464; -1; 741697195; 393274797; -1; 511053274; -1; 396790862; 706781901; -1; 440699438; -1; 186683515; 139229532; 772255207; 314611053; 847413316; 887868413; 972208465; -1; -1; -1; -1; -1; 767212885; 43950078; 604373791; -1; 702692221; 390596530; 651699187; -1; 399843754; 774061818; 409096510; 568760766; -1; 683489805; 851416209; -1; 329546286; 900300280; 992076375; -1; 924806062; 133361643; 161105957; 710273610; -1; -1; 555186147; -1; 737129038; 285861908; 258024738; 157613272; -1; 776955617; -1; 487271295; -1; 340277942; 63622248; -1; 257701302; -1; 435171945; 494007955; 833625219; -1; 381299150; 6041679; 377540657; -1; 219000396; 578786984; 579724057; 866057131; 223213587; 840822700; 141017285; 638096159; 727062252; 803278479; 138651843; 338013212; -1; 414610811; 736436807; 573873941; 781140181; 490737992; -1; 533060736; -1; 863319495; 95485043; 7226393; -1; 140271876; 115348277; 540982035; 144478961; 201609788; 179046844; 339657601; 494753202; 492425178; -1; 266783553; -1; 51925954; 537318394; 584909105; 944834484; 282074468; 938028537; 472855164; 848956401; 481231761; 483561052; 932155647; -1; 377832718; -1; 767569269; 547218636; 297726206; 922917870; 456144717; 846868074; 687593200; 48633008; -1; 942411585; 792579001; -1; -1; -1; 516039366; 831774756; 537478094; -1; 112686619; 434987652; 101683590; -1; 538178108; 674836566; 588106043; 610976558; -1; 986828563; -1; 555177062; -1; -1; -1; 275367086; 831368392; 459660392; -1; -1; 57956756; -1; -1; 727958744; 508074367; -1; 291020074; -1; -1; 209296388; -1; -1; -1; 637760401; 45617847; 437281038; 687425837; 57605826; 343270097; -1; -1; 962151804; 494663442; 843563292; -1; -1; 208170383; -1; 75013042; -1; 735417038; 940177623; 548434291; -1; -1; 507790281; 766268792; 823563117; 85644107; -1; 196414122; 198424438; 736493762; 107957458; 200761384; 897771491; -1; 671803053; -1; -1; -1; 250534881; 564677953; -1; 875399858; 478068594; 148910448; -1; 20082524; -1; -1; 372319635; 16489037; 449170258; -1; -1; 905846439; 476275910; -1; -1; 647181954; -1; 52237688; -1; -1; 270353576; 424398370; 311586290; -1; -1; 758961385; 179585530; -1; -1; 443604172; 189444193; -1; -1; 983855492; 910063598; -1; 287712134; 423642448; -1; -1; 819423094; 645835299; 9421018; -1; -1; 8673199; 166374605; 462196689; 604315373; 891778701; -1; 354605997; 52005724; 929429957; -1; 666541525; 821713239; 589517371; -1; 668239553; 969380824; 365082119; -1; 702027023; 347601320; -1; -1; -1; 668510902; 330455340; 967355621; -1; 286728395; 505057714; 413550942; 528523295; 349297886; -1; 939226446; 975220722; 301123192; -1; 565248824; 908393944; 99609540; -1; -1; 913481298; 707413454; 807160680; -1; 376654297; 728887070; 832239729; 556089673; 891166594; 361427253; 82074386; 310468212; 770276998; 893018681; 217057790; 761587068; -1; 237225667; -1; -1; -1; 180220600; 680868047; 377155143; 413256755; 893189910; 412636068; 662958217; 212287912; 805574853; -1; -1; -1; 767947310; -1; 955494548; -1; 161140093; -1; 880706446; -1; 290999722; 118848347; 63697301; 580613872; -1; 187108187; 675750566; -1; 935716812; 949230906; 268941214; 532432924; 898796406; -1; 730298621; 70444558; 79872711; -1; 335889123; 318625655; 263544623; 247456157; 682352057; 98209354; -1; 345573524; 580344967; 738942400; 24086910; 133302108; 442606383; 660861546; 91081031; 964795567; -1; -1; -1; 331171388; 870150641; 942008675; 560813501; 486517996; 92052220; 237359005; -1; 960821024; 493181803; 787414469; 447061212; 102449887; -1; 552283478; 932856483; 174560098; 69876653; -1; 404576904; -1; 90859429; 575692722; 240382181; 228218049; -1; 379115930; 441734460; 372973758; 261588036; 458439464; -1; 530492; 231720015; 658824252; 319815897; 14416185; -1; -1; -1; -1; 550398287; -1; 580847706; 237572568; 927833798; 191141500; 979986118; 317060049; -1; 291926150; 490870945; 683826057; 280709953; 846449256; 74476486; 627523608; 559165341; 265347695; -1; -1; 898336788; -1; 164957019; -1; 96067098; 445636243; 694252208; -1; 392316127; -1; -1; -1; 886669004; -1; 26727468; -1; 967844603; 924983; 9633307; -1; -1; -1; 158528806; -1; 101719990; 207739461; -1; 954456881; -1; -1; -1; 775396862; -1; -1; 198762371; 928783905; 705418058; -1; -1; -1; 791451423; 790492512; 843866992; -1; 301535434; 742061054; 691028157; 730607642; 21407992; 816073016; 318946382; -1; 874514371; -1; 792158104; 30357196; 609342728; 342515666; -1; 514574697; 221085491; 699944967; -1; 100545673; 478644767; 211620523; -1; 453097546; 702031476; 969151514; 894116467; -1; -1; -1; -1; -1; 578769048; 637823365; 713559579; 311306790; 793769631; 82747902; 145465586; -1; 716203505; 818609192; 274621909; -1; 256512715; 662469608; 193698045; -1; 229484264; -1; -1; 582411921; 916043099; -1; 435848358; 140866464; 115714647; 553735684; 958118525; 638969844; -1; 153161683; 662989827; 374694501; -1; -1; 101074469; 178864533; 873917273; 167733979; -1; 67436414; 853945238; -1; 852612959; -1; -1; 844715974; 540924831; 625774421; -1; -1; 546766112; 753584194; 647290782; -1; -1; -1; -1; 45107781; 238270809; 985992539; 431685046; 132250473; 288552193; -1; 15492; -1; -1; 623108339; -1; 973867669; -1; -1; 796579211; 103556138; -1; 562731202; 161013802; 891091006; 206958955; -1; 11787885; 918428025; 730841238; -1; -1; 415747095; -1; -1; 427836073; 325682475; 357562339; 68846600; 853029493; -1; -1; 25171583; 651849744; -1; 654353014; 167463595; -1; 798826870; 713103150; 248800493; -1; 490931928; 775318177; 506827189; 566026222; 744155962; -1; 769533086; 233479338; 603749313; -1; 116038041; -1; 957285094; 804074272; -1; -1; 179150217; -1; 666812605; -1; 821276624; 155808672; -1; 379501584; 745675874; 656889962; 694306565; -1; -1; -1; 985855332; 243954768; -1; 633000448; 884385952; 506658835; 786376895; 17786177; -1; 392694744; -1; 437262893; -1; 94651004; 673194195; -1; -1; -1; -1; 513901770; 636759265; 368970486; 170847310; 480244653; -1; 711006163; 743582266; 53158613; -1; -1; 329310827; 827899690; -1; -1; 403100618; 187215269; 947655836; 347272255; 170334677; 935000008; 138446834; 280135455; 849060001; -1; 338598264; 121832676; -1; 456648509; 396342746; 3820541; -1; 657352160; 858301374; -1; 602229055; 332016473; 211857210; 633271417; -1; -1; -1; 829567318; -1; 303471740; 199796774; 346847825; -1; -1; 552227594; 654702845; -1; 451168790; 429501731; 197538760; 404108799; 837953362; 976074327; -1; 886668524; 472080598; 627794944; 489436062; 656966415; -1; 23903118; 540281413; 764267797; 38606641; 942177279; 72383441; 112678364; -1; 245042477; 285122548; 419047752; 805653718; 871147871; 129913772; 726345236; 480605894; 684563442; -1; 795710684; 218004419; 393281886; 162911929; -1; -1; 168548611; 48390255; 321582091; 737538053; 20882539; 766190171; 399046754; 222957198; 649702055; 135344177; -1; 4159348; 881014735; 74063202; 621518019; 608633554; 788470700; 395641568; -1; 850761745; 596041062; -1; -1; 939870700; 984243227; 546634837; -1; -1; -1; 820794486; 93179679; 905282640; 737116168; 70475374; 673782072; 581977451; 904838513; 592850373; 583977479; 894108586; -1; 186526976; -1; 49893474; 47888366; 361864881; 78642031; 792402822; -1; -1; -1; -1; 737140021; 841845249; 810861709; 734730817; -1; 686530766; 479186455; 783223970; 706533691; -1; 998632435; 127791497; 965676756; 300359237; -1; 210854666; 951385675; -1; 235370901; 886592881; -1; 244630027; -1; 678133327; 651457894; -1; 671882748; -1; -1; 241204840; 117825981; -1; -1; -1; 883364100; 762125423; -1; 60421091; 109260125; 208424647; 424649487; 863278582; 176566305; 529364060; 708640912; -1; -1; -1; -1; -1; 434195407; 832528275; -1; 839865304; 92797230; -1; 148300080; 277300978; 48679063; 807540620; -1; 109268080; -1; 593615948; -1; 218003968; 343604941; 338393515; 882665647; 792858887; 752830294; 722532678; 354228598; 404178862; 996681297; 969561642; 75640387; -1; -1; 513635244; 791378487; 623308384; -1; 541992193; 29729022; 984009395; 277543897; -1; 790219570; -1; 404990394; 61150138; -1; 573035338; 966722268; 587480784; 752657317; 573830114; 289494473; 810831793; -1; -1; 34901151; -1; 178206194; -1; 37803260; 419439760; 347487800; 186480026; 765844057; 389715313; -1; 741987853; 104639921; 977143366; 746719595; 482331710; -1; 686304397; 817934100; 67887465; 367495666; 614926167; 293272543; -1; -1; -1; 904271248; 486591660; 815282328; -1; -1; 336382013; -1; 904613708; 951751987; 698438111; 957250072; 605283387; 685505685; -1; -1; 960126422; -1; 303023092; 401212071; 393051313; 864071024; -1; 434408279; -1; 43053590; 218226476; -1; 879061131; -1; 894935046; 227799864; 676424545; 307311826; 665388096; -1; -1; 446172347; 633230754; 433256548; 205979511; 590518628; -1; 99281401; 717159646; 165748420; -1; -1; 39963713; 570573695; -1; 752124041; 809375944; 619519723; 978202430; 961727928; 657152955; 116925188; 997343317; 957638548; -1; 758764775; 533437240; -1; 733321828; -1; 86572910; 921774067; 626904972; -1; 67054267; 595578371; -1; 105729272; 410945576; 282239375; 744436088; 976856493; 197761056; 348018922; -1; 435880039; 612640650; 605322059; -1; 883162163; -1; 863475968; 548109436; 113309885; -1; -1; 667670299; 296328047; -1; 764876462; 718204340; 362519936; 454877935; 892864460; -1; 866850687; -1; -1; -1; 142274884; 309953853; -1; 947519160; 693846723; -1; 137398862; -1; 296934906; -1; 809185029; 514745234; -1; 735293325; -1; -1; 733126228; 887702067; 692186487; 770511488; 470913307; -1; 754507996; 919094988; 72929954; 159394441; 815900947; 551598065; 236366455; 126325504; 885932914; -1; 228728149; -1; -1; 846784325; 700057342; -1; 514541948; -1; -1; -1; -1; -1; 184728582; 180516012; 301879718; 623554533; 315747902; 444767174; 991611100; 356255930; 882539803; 289886317; -1; 252186963; 411877378; 745572601; -1; 961165111; 775899996; 525094101; 133757442; 865685546; 407657813; 493778099; 773486001; -1; 408227730; 212742971; 421420512; 926772384; -1; -1; 367062422; 778354028; 451221445; 609185817; -1; 491514991; -1; 588205044; -1; 932641511; 398768535; 468179875; -1; 56305315; 679231935; 851674676; -1; 919357765; -1; -1; -1; 746714398; 180522631; 437586174; 432547454; 425609406; 943256140; 619660912; 957495806; -1; -1; -1; 778803672; 639640666; 136990605; 85141328; 119762027; -1; 328796980; 240130497; 115936234; 148659372; -1; 174247179; 134234617; 155318791; 306267965; 175407510; 452867349; -1; 360793557; -1; 605141255; 278957408; -1; 434920791; 408746799; 772770903; -1; 420967077; -1; -1; 473269996; 705113248; 831759742; -1; 489416984; -1; 810617772; -1; 207799668; -1; 685121265; 82927047; 965313883; 861702073; 369010519; 856759821; -1; 886941984; 717964102; -1; 418313356; -1; -1; -1; 166751558; -1; 240751501; 818521988; -1; 962267438; 449704568; 477242962; 835602099; 992629887; -1; 367064071; -1; 873335370; 928209240; -1; -1; 321605495; -1; -1; 976902462; -1; -1; 322236629; -1; 554508738; 788887143; 688853273; 528228514; 42436143; 785133454; -1; -1; 865806425; 470423542; -1; 983581945; 212901528; 723854471; 901808563; 588691158; 229400091; 401716600; 761595066; 274647404; 87507117; 516358343; 337919097; 802089657; 342119946; 887657580; 597233474; 889782117; 33489928; 331089970; -1; 714434035; -1; 851800746; 87056576; 437300289; 313731084; 505397549; -1; 604644581; 505469088; -1; -1; 805030632; 903335393; -1; -1; 782296615; 893453158; -1; 651965977; -1; -1; -1; -1; 526743715; 88738567; -1; 269449761; -1; 977429687; 175343460; 787171381; 336751241; 225688418; 562237519; 179436279; 645168199; 301085117; 624503795; 557576729; 200478000; -1; -1; 866497571; 611706168; -1; 46175796; -1; -1; 123573362; 415977763; 139752127; 524245497; 789985983; -1; -1; -1; 917962562; 87343132; -1; 206246025; -1; 982333360; 442193729; 980690277; 976997775; 521352515; -1; -1; 271487004; 658026014; 218806524; 494926821; 48556830; 451908934; 321056247; 694178042; 482246793; 554808809; 495432878; 346255841; -1; -1; 227071436; -1; 796014611; 754407696; 139377562; 6285975; 991820966; 82661627; -1; 318513508; 315076422; -1; -1; -1; 981394661; 307122007; 715435907; -1; -1; -1; 836868947; 263021669; 443002040; 576938768; 949298527; 593921151; 456483816; 902625978; -1; 408367615; -1; 889884909; 996190283; -1; -1; 149247344; 243821228; 454510841; 708789396; 815163132; 846243086; -1; 222015715; 48706154; 804221220; 473520289; 525534292; 37377923; 474313499; 215939049; -1; -1; 157977532; 546476438; -1; 330936652; 356234054; 235305400; -1; 924589412; 769117496; 578915196; 862060644; 222711695; 110118341; 749772133; -1; 168195441; 15378578; -1; 616744386; 91825760; -1; -1; 413641032; 559452328; 976861738; 819044744; 809829110; 323744952; 690223544; -1; 869437760; -1; 396403041; -1; 901350815; -1; 599013881; -1; 247349228; -1; 86873232; -1; 369524542; 297594811; -1; -1; 559002999; 566491945; 106447665; 511995890; -1; 954840659; 510215924; 971278207; 286011537; 563713853; 227048491; -1; -1; -1; 153591853; -1; 415989632; 508665374; -1; 936535095; 485505672; 984447739; 928426372; 248320113; -1; -1; 127123066; -1; 666693108; -1; 605132983; -1; 399310770; 174598597; 200103056; 572072945; 203856781; 297648629; 597408716; 715347253; 665713330; 645674790; 473911517; 503519439; 87616069; -1; 192776633; -1; -1; 981106130; -1; -1; 791181880; -1; -1; 722946620; -1; -1; -1; -1; 144381529; -1; 606353037; 333969515; -1; 880392543; 416881353; 515581527; 158725092; 836720612; 214596989; 176277857; 707807316; 587421993; 707208441; 24728135; 976719384; -1; 522997305; 251926664; 770426746; 80999827; 703435083; 630245836; -1; -1; 129653997; 34917496; -1; -1; 934121513; 514312705; 734338680; 900915490; 73751095; 292260219; 794759726; 989898333; 165781210; -1; 245223353; -1; 491630035; -1; 979031415; -1; 972577067; -1; 759204717; 901283764; -1; 829653327; 751058313; 429075191; 143502719; 599627047; 566331236; -1; 613466375; 137423933; 369272134; 489334591; 607001181; 907092177; 71969364; 172543493; 42507931; 727222302; -1; 562620898; -1; 502165859; 657721976; -1; 91479481; 684025567; 610484132; -1; 59205310; 989160479; 469495347; -1; -1; -1; -1; -1; -1; 801140634; 627930805; 649625066; 68244099; 980300927; -1; 3643213; 987781658; -1; 673663264; 180508619; 261251312; 42609522; -1; 725990008; 41246823; 225553776; 522161154; -1; 900820718; 239057995; 232619880; 713806718; 519918384; 152486138; -1; 882848216; 628483944; -1; 795209013; 390729574; 718895810; -1; 552258526; 23978791; 770578779; 603039327; 110333930; 173056729; 70721990; 521763455; 361657201; 858587003; 513161499; -1; 279826014; 19481713; 753304170; -1; 754561650; 145082087; 901840923; -1; 51378841; 340636101; -1; -1; -1; -1; 825872439; 720084344; -1; 455859087; 356902468; 442635299; 385359823; 486373521; 656511104; 449756517; 855103415; 749930943; 469864065; 981956859; 588645177; 928771750; -1; 762217478; 759463904; 367744378; 775138622; 763145512; 491462644; 775225780; 449100209; 31537218; 403816187; -1; 650107728; 870487060; 34661732; -1; 910858390; 879642021; 206695528; 989569272; -1; 28862063; -1; -1; 476958384; -1; -1; 494049326; 147293363; 148181955; 220930892; 793782260; 396616564; 465406675; 285651621; -1; 781422235; -1; 310801272; 736500385; 96406155; 708101547; 314909964; -1; 648538399; -1; -1; 790434502; 15914106; 209471121; 689107106; -1; 560155883; 428207750; 809332743; -1; -1; 915119383; 711843576; -1; 286301658; -1; 393003294; -1; 101287060; -1; 813276243; -1; -1; -1; -1; 725751530; 772546286; 193018570; -1; 792049834; 327570331; 835428986; 258458630; 666130561; 903125128; 353266099; 815818549; -1; 638969920; 199955324; 318898752; 381564175; 505814302; 735571065; -1; 859763156; -1; 54814748; -1; 781157430; -1; 730608763; 133174216; -1; 591087310; -1; -1; 588026405; -1; 27744836; 186434577; 480363724; 674981258; -1; 672028516; 519311358; 822521991; -1; -1; 750085314; 396058031; 495048341; -1; 533931428; 272266147; 308560461; 108300255; 74346621; 388937272; 548966217; -1; 57652188; 721385876; 145112808; 500018044; 26666044; 162341469; 745555176; -1; 682531792; 558217508; 361742165; 844133048; 377870345; 130742254; -1; 381218165; -1; 26502607; -1; -1; -1; 532782887; 753914122; -1; -1; 914711678; -1; 494463584; 216409873; 328633858; 131269315; 972577611; 94902972; -1; -1; 3501445; 53727643; 354436330; -1; 100221149; 319369129; 206298131; 773873544; 641540053; 800653875; 447825285; -1; 871438309; -1; 553966276; -1; 312315234; 691367298; 569695276; 691914001; -1; -1; 621246605; 523219607; 643043182; -1; 370524005; 141022090; 299684839; -1; 333758008; 138046913; 566685337; 316885671; -1; -1; -1; 636514501; 820636138; 404307493; -1; 847683407; 654954070; -1; 172462523; 822298948; 379268348; 138067057; 218799515; -1; 391044506; 801252061; 810044311; 271688174; -1; 142234863; -1; 532204358; 539189401; 63667097; 626453855; -1; 38176932; 359805898; 307377817; -1; 803466150; 549250540; -1; -1; -1; 342825727; -1; 105331097; 995392598; 59268145; 169242738; 741077066; 259762702; 179472822; 803983366; 318640893; 520331941; 379731402; 630948295; 214141218; 952908542; -1; 689647210; 319520556; 499290403; 883931051; -1; 772459353; -1; -1; 370224010; -1; 916057038; 817900808; 586054198; 20850526; -1; -1; -1; 583925895; -1; 10176830; 846549202; -1; 569951786; -1; 911694534; 182517724; -1; 587630948; -1; 999574034; 92723613; 796168945; 839612802; -1; 857206075; -1; 316561554; 711460728; -1; 47462102; -1; 886638677; 465599388; 519237298; -1; -1; 89331489; 74911478; -1; 892443516; 496867920; 109651052; 192666735; 206125284; -1; -1; -1; 434447857; 579513121; -1; 61585924; 338281094; -1; 383506828; 413456855; 903085219; 562948307; 591681364; 986043500; 591476097; 188005025; 20172196; 544191452; -1; 544583980; 490471124; 467450341; -1; 859594240; 344256105; -1; 625714430; 799254978; 206486893; 642132861; 854422440; -1; -1; 696807224; 149935384; 459508849; 117290825; 986063233; -1; -1; 98519028; 104793922; -1; -1; -1; 720000842; 41605708; -1; -1; 732573079; 485961064; 495414424; -1; 882663361; 371155615; -1; -1; 76191665; 235319209; -1; 312119513; 506322868; 952718096; 747067762; 201003698; 582831142; 100527394; 391131017; 854008886; 800077630; -1; 699054535; 425218721; 343740176; 817317032; 543502015; -1; -1; 747169742; 104327516; 521394255; 880714117; -1; 472974325; 450639054; 313080168; 965854390; -1; -1; 799990475; 578831245; 599759389; 569963296; 433194518; -1; 884226523; 359171266; 731125072; 158546039; 718853227; -1; 504330508; -1; 780967397; -1; -1; -1; -1; 560310487; 424156478; -1; 866778717; -1; 58375483; 238872712; 483382494; 729081890; -1; 387901356; 960587856; 449838660; 481182398; 145978289; 101837976; 760740515; 830400729; 653878546; 301602341; -1; -1; 23415668; 464888852; 791951309; 761772416; 274110937; 352124608; 414430652; 316986636; 218220132; 85669977; 966876894; 677334024; 168277271; 208785175; 440432600; 862823522; -1; 82407755; 573944498; -1; 289956473; 95507861; -1; 244120938; 966952585; -1; 139080542; 422622775; -1; 606616668; -1; 800988089; 890600096; 359864340; 822322957; -1; 409835533; -1; 211020712; 873123459; 78144281; 476033783; 840871391; 99884276; -1; 550740127; -1; 533787833; -1; 368894835; 342461998; 490714602; -1; 454519779; 752642497; 925809268; 775941920; -1; 479747277; -1; 940925293; 502612016; 85690246; 625914183; -1; 654796717; 236001958; 60853469; -1; -1; 839640262; 242674291; 383360866; -1; -1; 589789576; 40869868; 457695615; 459507341; 891794223; 523910750; -1; 447307089; 266415087; 638684684; 589302225; 696940088; 604718115; 670666978; 696389258; 944678833; 591939141; 738357663; 194098796; 223727264; 118169159; 837788472; -1; 522616973; -1; 961770442; -1; 946860408; -1; -1; -1; -1; 641972211; 681570541; 946138208; 120278107; -1; 878505679; -1; 115740873; 196354340; 540441244; -1; -1; 887275020; 212325178; 948820463; 178185216; -1; 786389907; 120666266; 807000952; -1; 956979505; 870504663; 62987452; 890342844; 271842796; 691318516; 23152416; -1; 984720199; 643378000; -1; 451958450; 115831767; -1; -1; -1; 409530138; 403345539; 443546967; 62290414; 659368713; 657493820; 441925056; 492882521; -1; 335147196; 267191444; -1; 164228040; -1; 15900138; 993842503; 989657758; 327012772; 827524426; 271347782; 501063024; 212272163; 934338887; 962184220; 302275481; 814208064; 976883740; -1; 66087880; 656230724; 232302422; 96421315; -1; 997131001; 407218284; 110796976; -1; 208953715; -1; 922171274; 942261865; -1; 252604013; 918385050; 811390208; -1; 834766009; 210002347; 700246234; 584989620; 693229814; -1; 515686337; 626813979; 412939999; -1; -1; -1; 849959620; 987423064; 21728763; 26125154; 876961042; 973742232; -1; 553736194; 909308501; 545284248; 855912368; 18214472; -1; -1; 940043302; -1; -1; -1; 367591006; 579902121; 455512353; -1; -1; 784911618; -1; 715126624; 19400937; 690486218; 442988032; 418760236; 495300853; -1; 233771691; -1; -1; 423221676; 256731323; 219074464; 671527196; 749399508; 738754642; 324159903; 767347550; 203290397; 996807143; 886683101; 206157876; 610132108; 317561529; -1; -1; 568489030; 332870714; -1; -1; -1; 138708122; 779871795; -1; 566683594; 222578646; -1; -1; 228828941; -1; 833304503; 412086762; -1; 464879265; 895401016; 993197234; -1; 987375641; 937908008; 402163227; 911024322; -1; 395260630; -1; 649958778; 539042135; 589979453; -1; 189865511; 350281509; 319051320; 11508461; 912444589; 727244852; -1; 412776688; -1; 766224022; -1; 852370279; 75793852; 422308927; 273421073; 648432832; -1; 308281113; 999281181; 197939351; 53240059; 716949855; 394128916; -1; 136697805; -1; 621012454; -1; 278777477; 557861080; 802763734; 855586043; 412914721; 947374930; -1; 733804317; 114651705; 57936559; 60684317; 19671699; 179444953; 147711495; -1; 910793883; 686939527; 727157373; -1; 433294599; 425098868; 829851042; -1; 48641381; -1; 947716656; -1; -1; 967016708; -1; 935918819; -1; 84206157; -1; 42378715; 953359404; -1; -1; -1; 930411216; 24730348; 363454375; 860717422; 88594312; 204707944; 704855017; -1; 41935641; 657639064; -1; -1; 312398395; 559007492; 68961705; 19169283; 13312572; 796587635; -1; 257102852; 869799928; -1; 788304852; -1; 90152276; 639739825; -1; 326369917; 850565778; -1; -1; -1; 187519066; 224274859; -1; -1; 974287577; -1; 987246166; 870622134; 609739023; -1; -1; 663538647; 220085115; 675393210; -1; 812668850; 817781628; -1; 708172763; 717014792; -1; 16989171; 663827285; -1; -1; 629828067; -1; 886836074; 357754883; 646656923; 738728299; -1; -1; 337915060; 376545247; -1; 726937348; 307757182; 803727617; 53325162; 685744416; 355563624; 354693511; 813558597; 737434489; 714233531; 437674793; 427323637; 151580944; 519152669; 734838339; -1; -1; -1; 732772155; 419050186; 680037958; 934518151; 99801493; 695113299; 300641674; 552308795; -1; 937690457; 918748499; 814650278; 673872508; -1; 799674779; -1; 463516188; 588259401; 957913457; -1; -1; 826754513; -1; 40909531; -1; -1; -1; 282731509; 44983730; 153970797; 874954722; 444853704; 732746348; -1; 176421115; -1; 539981874; 455934030; 335390425; 185963179; 203685217; 441325088; 28666359; 608771556; 17843804; 751063155; -1; 513320511; -1; 792588284; 860875065; -1; -1; -1; -1; 949332107; -1; -1; -1; 399794165; -1; 674877850; -1; 191938461; 98091389; -1; -1; -1; 860796078; 364494271; 553259721; 410280650; 301654817; 547581495; 257296020; 495977823; 759302091; -1; -1; -1; 593748099; 365864162; 289625392; 605127757; 737418232; 539960693; -1; -1; 66920681; 837047917; 392157480; 464272364; 423794331; -1; -1; -1; 187190456; -1; 424195390; 874111185; 676194691; 344500724; 922480712; 965523652; 424810353; -1; -1; -1; -1; 67239649; 543688304; -1; 513350034; 816305813; 636381437; -1; 6166404; -1; 816994972; 465457138; -1; -1; 83667622; 425527452; 527184892; 779840781; -1; -1; 352016952; 140395949; 549548213; 884656338; 422750647; -1; 760758096; 266168345; 487839102; -1; -1; 716874743; 257558563; 63948036; 475449469; -1; 473409236; -1; -1; -1; -1; 210201716; -1; -1; 870411097; -1; 610278908; -1; 665377116; 841528749; 99990235; 244684163; 553965727; 392299124; 586461507; 298876915; 363008379; 975192140; 873334251; 393237374; -1; -1; 311955088; -1; -1; 588509832; -1; 833014287; 679291436; 851822982; 26774997; -1; 745801588; 987129903; -1; 297401784; -1; -1; -1; 771349537; -1; 757407269; 662086552; 897633575; -1; -1; 482132015; 926320856; 641782464; -1; 228474897; -1; -1; -1; 541913377; 882893513; 421929750; 931609040; 707703773; 940793290; 167561935; 996640485; 121412484; 40705517; -1; 557527794; -1; 968629866; 557471295; 759148780; 267281390; 583610012; 440413566; 201395741; 85610441; 653472035; 33861051; 995045490; -1; 624910874; 172146951; 892483423; -1; 801764488; -1; 844821810; 89979156; 602001468; -1; 393122025; 990506588; -1; -1; 749583683; 310208313; -1; 74786559; 485906191; 78044998; 630927028; -1; 835115747; 270004604; 91609012; 741268892; 203324569; 662073472; -1; 915542725; -1; 961585803; 538953983; -1; -1; 498364786; 502712024; 44713855; 230017505; -1; 391221662; 293194734; 69207400; 632540798; 996653452; 24986592; -1; -1; 871463061; -1; 700764929; 7997422; 739629526; -1; -1; -1; -1; 650746317; 294594932; -1; -1; 213116621; 793957902; 171146833; 165606047; -1; 443727133; 780567776; 293303759; 135749881; 798433111; 52903648; 859905486; 339284217; -1; -1; -1; 701967906; -1; 230493648; 460070238; 278141414; -1; -1; 767130252; -1; 418410391; 398884723; 526215276; -1; -1; -1; -1; 253975481; 420099159; 164842665; -1; -1; 275268672; 814048664; 630692871; 526937073; 414055482; 167062810; 440797639; -1; -1; -1; 555172709; 666808022; 455953130; 811969021; 922977323; 189942012; -1; 379211455; 280157941; 721594071; 641527424; -1; -1; 444102188; -1; -1; 792903025; -1; 278896212; 600973794; 883148067; -1; -1; 800693109; 979426935; 390929315; 99457588; 336211530; 460171287; 279490686; -1; 503446164; -1; 697231410; -1; 166468899; 538632898; 101841049; 5762898; -1; -1; 669596783; 730729350; 372785083; 454484442; 570869150; 531655206; 569636474; -1; -1; 659204220; -1; 441803711; 804100328; 943294491; 653946834; 968029772; 45143895; -1; 911629038; 787378622; 428254538; 965938096; -1; 938970468; -1; 323444425; 426390703; 932382852; 205238275; 282468499; 758901305; 210722322; -1; 920424325; -1; -1; 315584611; 389767208; 155739096; -1; 365119; 556287072; -1; -1; 890101938; -1; 179032549; 697199331; -1; 391543014; 841533276; 945359008; 88578486; 461312051; -1; 323062922; 966068279; 51974254; 140634849; -1; 826579552; 217284761; -1; 557116500; -1; 514109632; 173337968; 932542590; -1; 447857656; 62537128; 3138979; 784284295; 694552258; 865334877; 328341018; -1; 645934116; -1; 19018470; 383214023; -1; 687434665; 114850014; 422755564; 939924930; 227002444; -1; 296428423; 743533410; -1; 207743358; 990477631; 488106666; -1; -1; 777074106; 83365230; -1; -1; 31443927; -1; -1; -1; -1; 436334156; 733890380; 792079691; -1; 431374525; -1; 271729512; -1; 32358220; 995262145; 753725951; -1; 175108931; 866489676; 3677551; 882310182; 745010756; 680770265; 539502727; 675601022; -1; 42389089; 776663980; 155483529; 594348442; 670791095; -1; 656047837; 302804700; 93324102; -1; 414406521; -1; 453710272; 344422167; 499245618; 4118405; 813339185; 340887165; 813007893; 486484589; 51679463; -1; 620206742; 625755411; 142240947; 356913125; 935307134; 951407775; -1; -1; 318051972; -1; 929457321; -1; 452708528; 224021237; -1; -1; 229733804; 911561463; -1; -1; -1; 92737112; 589792856; -1; 809987768; 423366499; 378546554; -1; 876619608; -1; 735140001; -1; 990097349; -1; 688109241; 349511251; -1; 641344926; 238268378; -1; -1; 523125639; 941052707; 725971469; -1; 18788517; 986802351; 901367492; -1; 66595464; -1; -1; 509927789; 142621715; 400980388; -1; -1; 903008759; 953026222; -1; 411660508; 988357899; 372317134; 77548863; 192085804; -1; 135319035; 895412555; 27028072; 258598757; 878483506; 939012510; 837529471; 239270467; 757770791; 444233335; 428927619; 110416289; 553017895; -1; 984754683; 860193527; -1; 168133631; 844265549; 487254725; -1; 433860613; 157301569; -1; 482631519; -1; 856236495; -1; 777972132; -1; 843358087; 913238572; 543853293; 239377648; -1; 979169387; -1; -1; 261549576; 26815461; 279881540; 718520664; 474609899; 40532889; 243680789; 15892701; 389155341; -1; 705416234; 363616631; 6664309; -1; 349704775; 996798578; 363362237; 492228353; 514145532; -1; 500833766; -1; 802373281; 748623089; -1; 888556719; -1; -1; -1; 533983445; 635467549; 355485884; 470972267; 272251495; -1; 274062437; 117897763; 674350527; 612347845; 236366711; 170284128; 899744240; 313874145; 859667488; 651552392; 155016826; 597580497; 563512373; 951803486; 513995846; 799642158; 837313773; 567046536; 100229529; 996264473; 653098713; 783243589; 494218099; 399939608; 897345434; -1; -1; 642663256; 423580359; 177686743; 320414454; 596187618; 708522513; 750500953; 530795441; 146534683; -1; 698747402; 852907677; -1; -1; 604432881; 495068184; 598667108; -1; 414086847; 795672283; 49007193; 736482794; 666514364; 871073880; 912203256; -1; 289373261; 239067404; -1; 767334772; -1; -1; 587489596; -1; 660579840; 892274040; 239849895; 845975104; 338514247; 133233927; 825656877; 411222842; -1; -1; -1; 892055484; 220208174; 984700520; 307478925; 914316280; -1; 482109450; -1; 890126416; 98605596; 878199790; -1; 310023570; 922461728; 872268063; 411953421; 651037935; -1; -1; -1; 662298572; -1; 462889259; 84987346; -1; 534997678; 811035664; -1; 750027869; -1; 6689888; 267691842; 688543992; 234438468; -1; 790479637; 980260459; 910855437; 29038569; -1; 291014475; 692612793; 446206578; 283676467; -1; 444628140; 544931163; 302220968; -1; -1; -1; 738748830; -1; -1; -1; 739527642; 917909729; 713226285; 252213126; 144900788; 995769714; 152494194; -1; -1; -1; 540204355; 253543796; 853973636; 377480923; 277267323; -1; -1; 251897362; -1; -1; -1; 481846215; -1; 696959609; 693332597; -1; 560539330; -1; 270604654; -1; 307471877; -1; -1; 6115823; -1; 399942059; 106346296; -1; 942455039; 203789846; 540379240; -1; 70818048; 327168296; 989024398; 687257373; 904327430; 450573755; 895746535; 504301881; 34690372; 32632247; -1; 167493439; -1; 41304404; 149525993; 134263603; 136903365; 31811083; 105403149; -1; 680569359; 21618506; -1; 504755821; 29781042; -1; 983030955; 391129806; 689608469; -1; 907853797; 340164375; 944295805; 490979455; 689726398; 528888526; 943683137; -1; -1; -1; 31138938; -1; 309381513; 697772326; 887272605; 893690286; 633731223; 583766311; 147512770; 476841009; 603651720; 147278242; 47516815; 279895364; -1; -1; -1; -1; 967563443; 254081707; 367616939; 192758181; 519709663; 807107165; 493976847; 983747294; 26353926; 399838190; 171434870; -1; -1; 848450718; 461965208; 349943345; -1; -1; 473119091; -1; -1; 111280162; 318661369; 453166189; -1; 259974553; 102403382; 865083573; 545896486; 680538868; 200098526; -1; 547687990; 485252675; 491732094; 600696076; 214677231; -1; 553250438; 28646276; -1; 704516459; 529957801; 15181149; 272027889; 692908942; -1; 412808650; 298906980; -1; 684294561; 15822995; 424954953; 466277865; 544027691; 683641897; 88885861; -1; 897974223; 737979733; -1; 130344929; 36859053; 471536840; -1; -1; 194934917; 999527701; 319532796; 208049059; 797112852; 498392292; 961633246; -1; 729575513; 680650577; 666630000; 341837936; 298660464; 918153; 943801107; -1; -1; 484643359; 684775163; 114324794; -1; 105138440; 577316744; -1; 129208777; 715500503; 939863344; -1; 506693342; -1; 216133898; 855592716; 817525634; 653230058; 368762877; 304623252; 607292242; 154079642; 550640921; -1; -1; 668364258; 612234897; -1; -1; 671021587; -1; 436754763; 243267615; 765189770; 773935386; -1; -1; 878488686; -1; 991977120; 677483633; 47136662; 957347760; 812237155; 334263182; 102334332; 566514218; 255974666; 425666000; 51630270; -1; 656996401; -1; 791625372; 641928044; -1; 414218718; -1; 621577336; -1; 83295451; 758353033; -1; 309604725; 212001610; 405778860; 289071577; 477328736; -1; -1; 357474036; -1; 925086553; -1; 171281647; -1; 761965585; -1; 201114747; -1; 957956899; 776485366; 554965165; 286104274; 679236795; -1; 708341596; 646716961; 604899083; 886708115; -1; 114264423; 612274403; 182442429; 351988871; 414558844; 17003154; 50078484; 210405463; 804454110; 805546407; 694750641; -1; -1; 502985839; 597351170; -1; -1; 343001939; -1; -1; -1; 504064576; 434728818; 520461644; 37935933; 282425682; 958239249; 978379566; 43810883; 561227256; -1; 343629164; -1; -1; -1; 332750678; 447574142; 907066209; 195574296; -1; -1; -1; -1; 294450355; 699071670; 194185216; 641188620; 631797773; 277685503; -1; 403507689; 986818474; 69747889; 473473526; 470959393; 360190542; 451714103; -1; -1; -1; 543961220; 755163997; -1; 493609659; 141689202; 108457379; 699406512; -1; 211354816; 615774753; 568863917; 295612894; -1; -1; -1; 715206818; 357285672; -1; 154529566; 927555185; 547316708; 551677307; -1; 174480675; -1; 818677528; 41751920; 6000014; -1; -1; -1; 405347993; 842738732; 500287573; 179351751; 607704583; -1; 956373625; 642583470; 353430438; 162155692; 526029182; 316863032; -1; 467470833; 946915411; 610744840; 774780479; 977608087; 156155196; 650488880; -1; 164189631; 217854691; -1; 997320690; 614574895; 254780974; -1; 309227579; 639230895; 199213217; -1; -1; -1; -1; 697831934; 860492092; 453650399; 358173489; 133460684; -1; -1; -1; -1; 881826959; -1; 820671558; 586472387; 727531635; 194161283; -1; 529575910; 176642413; 312844918; -1; 589241921; 631983132; 463416151; 437429546; -1; -1; 866125496; 681144595; 778191354; -1; 601492280; 93717950; 482847868; 463519539; 318137151; 430207842; 281246904; -1; 478276265; -1; 711146004; 921844048; 349827401; 116190909; -1; -1; -1; -1; 842629411; 549908284; 451758675; 877826275; 570437323; 860796807; -1; -1; -1; 302470385; -1; -1; 887983229; 598914430; 719792351; 660886496; 33948385; -1; -1; 427524244; 45102084; -1; 455426211; 421114150; -1; -1; 443383418; 378770385; -1; 135978416; 245748326; 187359849; -1; 486022692; 318289534; 125390809; 69857203; 25058362; -1; 766461906; -1; 976223138; 4684459; 453627255; 872071869; 126216716; 364141080; -1; 992037147; 141826191; -1; 316071733; 179847009; 810475857; -1; 273039111; 308910572; 231642104; 337517041; -1; 155125049; -1; 600525673; 758976691; -1; 49782056; 590409846; -1; 354472458; -1; 875366913; 64945307; 978536178; 697655617; 120203030; -1; 609193867; 708853977; -1; 303784422; -1; -1; 830251448; 568811911; -1; 284713824; 272651706; -1; -1; 658253863; -1; 927622249; -1; 968324186; 1403201; -1; 362456803; 319826904; -1; 211352864; 559531723; -1; 11370018; -1; 789316897; -1; 668790604; -1; 864583689; 603421127; -1; 145672631; -1; 460975976; 409330636; 805711855; 490720300; 464206263; -1; 466205338; 585804494; -1; 619429202; 592475152; 327582975; 551196640; -1; 243584821; 978446527; 247516231; 393088502; 621593460; 173447224; 43638152; 641673381; 980425680; -1; -1; 673607077; 975948261; -1; -1; -1; 473805632; 116349237; 484434771; -1; 329765985; 88784307; 431980626; 216043449; 739480300; -1; 922348909; 746206387; 587703436; -1; 939441231; 782790775; -1; 686588892; -1; -1; 207688476; 59169114; 134608190; 48221131; 607429524; -1; -1; 278917537; 898330940; 993446820; 315577225; 402280734; -1; -1; -1; 684285932; 478187749; 235945150; 783340909; 826573186; 408894692; -1; -1; -1; 807161471; -1; 42032270; 870045110; -1; 489048837; -1; 970093037; 81241536; -1; -1; 831574887; 332343973; -1; 503084744; 206572946; 186377366; 796083674; -1; 448923558; 520366970; 461582949; -1; 653899827; 19726262; 579930304; 686055013; 37767214; 153806321; 931041384; 15595130; 3889706; -1; 365061222; 897524109; -1; -1; 391007194; 897825390; 535363840; -1; 95115988; -1; 93831408; -1; 616531622; 463670345; -1; 331166092; -1; 246923370; -1; 398232455; 22482337; 316921160; 671332159; 71125217; 816337387; 457542486; -1; 495886697; 177620880; -1; -1; 806462891; -1; -1; 887562964; 332137979; 78935512; -1; 930995464; 539514724; 369643239; 188770044; 256303329; -1; -1; 791720240; 453392123; 375000015; 173078021; 888020680; 863478930; 788051406; 52001919; 413365678; 361889051; -1; 496816243; -1; 327720017; 877696620; 536704318; 555016787; 571560647; 353102921; 667582956; 428897556; 901899031; 53159027; -1; -1; -1; 735912378; 729845629; 408145771; 801031894; -1; -1; 728859162; 954197013; 246693192; 379790584; 980162698; 879761112; 777311278; 959433115; -1; -1; -1; 963638459; 353363621; 739793628; 585013791; 561525907; -1; 845872229; -1; 354627321; 401858592; 874558214; 455954397; -1; 506973269; -1; 881093219; 57747246; 709545335; 850373284; 759935972; 200555901; 181186290; -1; 278448190; -1; 392752910; -1; 27128147; 730423526; -1; -1; 721130136; 166526198; 309237882; -1; 921651476; 576443859; -1; -1; 509887142; 18453346; 533924202; 98464334; 880537317; 963920087; 937396264; 997242462; -1; 657092967; -1; -1; -1; 837831240; 119774584; 895924112; 640408725; 503285923; 457274293; 747360084; 882391682; -1; -1; 7618878; -1; 987627845; 593989626; 172641370; 626822934; 968264978; 823797533; 988863123; 388768786; 678933827; 165069258; -1; -1; 919774451; 811176763; -1; -1; 330000358; 502201335; 194552024; -1; 85629327; 828502525; 99294293; 332764433; -1; -1; 149892973; 528043549; 162790537; -1; 775664816; 763470579; 503857253; 893675678; -1; 148612297; -1; 257041729; -1; -1; 381395939; 864888864; 491875039; -1; 537280033; 426798964; -1; 449953228; 769093000; -1; 674943196; -1; 559081162; 695867843; 212669599; -1; -1; -1; -1; -1; -1; 734218728; 724519544; -1; -1; 175349730; 21731392; -1; 863197797; 325944825; 608564296; 36480139; 146614935; 400949691; 57023610; -1; -1; 83868090; 293964108; -1; -1; 762764984; 690522920; 385140912; 874989640; -1; -1; -1; 991301661; -1; 502238895; 629645706; 155216874; 55521714; 872724958; 930201153; -1; 422995424; 862405929; -1; 439940306; -1; 977928331; 565115368; 557563692; 860059892; 994847905; -1; -1; 361970584; 203117573; -1; 782619324; -1; 60701327; 199229772; 476307152; 284033864; 509176290; -1; -1; -1; 475090244; 780558135; 393007617; 696716379; -1; -1; 543584819; 542514013; 171746353; -1; 262559307; 26234127; 542861314; 743935740; 390817425; 702034109; 175842565; -1; 943018639; -1; 390352991; -1; -1; 399511011; 120878007; 807859626; 190399848; 545820105; -1; 854664302; 621328743; -1; -1; 55296706; -1; 693057531; 506453122; 224515409; 603016188; 711004952; 673628402; -1; -1; 841062269; 589286485; -1; 610146296; -1; -1; 536391312; -1; 490967935; 709320640; 954527802; -1; 671070019; 736444090; -1; 414136235; -1; 283233371; 924166548; 677947984; -1; -1; -1; 378979444; 770951009; 292274323; 50456827; 935864905; 356105628; 1773339; -1; -1; -1; 243178765; 522297606; 678553657; -1; 708545631; -1; 403346788; 321473672; 875638021; -1; 913875004; -1; 489882795; 453253374; 692522242; 360220014; 829230471; 809093883; 929975790; 291070927; 903404424; 988346785; -1; -1; 210035113; 472117521; 223272404; -1; 858270291; 731950486; -1; 631880571; -1; 92851925; 613379760; 931671364; 570760713; 451182856; 257824645; 920202134; -1; 440392088; 495982572; 643431524; 888149369; 11093686; 597521692; -1; 199359914; 499981867; 959533568; 208342379; 279521219; 642466725; -1; -1; -1; 478878692; 684583095; -1; 19353139; -1; 417925419; 981868231; -1; 811367801; 444406137; 475051598; 489274749; 203089676; 567522132; -1; 94187804; -1; 736211649; 736369568; 702429328; 324063852; 877256751; -1; -1; -1; 171644621; 995198672; 950682784; -1; 795175754; 4102139; -1; 667064561; 774555512; 905495816; 542140970; 640341230; 386019959; 161453409; 483836109; -1; 671716308; -1; 277915169; 48997209; 484267821; 259866140; 430600886; 280476650; -1; 759038491; 387951539; 933604289; -1; 73238826; 319756986; -1; -1; 648095691; 930296537; -1; 170417353; 555239235; 243103345; 892256288; 363836312; -1; 227798552; -1; 547515465; -1; 176407877; -1; -1; 556483253; 959708793; 857963051; 770868185; -1; 493301830; -1; -1; 383306470; -1; -1; -1; -1; 81317926; -1; 651209990; 975170149; -1; 215041335; -1; -1; 17400268; 351722758; 939673647; -1; 476801074; 897977153; 669644855; 937700692; 551726340; 164948096; 431620005; -1; -1; 175277605; -1; 987006667; 141401623; 466260517; 859809015; 506139031; 825777739; 1557956; 48642975; 779708123; 18561202; 159067071; 779464859; 927203156; -1; 375047440; -1; 761428328; 657307022; 758595164; -1; -1; 342825867; -1; -1; 669498482; 490914928; 259588320; -1; 889853740; -1; 739824640; 323096568; 654824644; 83259751; 624375899; 574830580; 230636412; 551885875; 487662382; 808987716; 196856448; 892754072; 811367706; 834892432; 751563246; -1; 301530656; -1; -1; -1; 214996794; -1; 958948936; 276448608; -1; 868664077; 406276064; 665250512; 723118821; 674064604; 82517973; 313373011; -1; 613641382; -1; 628124677; 697078643; -1; 847100218; 397343506; 544572631; 600157718; 791947071; -1; 878644303; 103054713; 980971590; 886525263; 170860462; -1; 970987528; 603287577; -1; 462740449; 787413752; 782481083; 260991414; 19768323; -1; 250278626; -1; 469764251; -1; -1; 197409310; -1; 389618352; 745010699; 518304111; -1; 197928470; 410467311; 598027419; -1; -1; 443895492; 201491612; 347417694; -1; 618439889; -1; 411056292; -1; -1; 683492900; 647558220; -1; -1; 174362489; 622880855; -1; 223712852; 896489111; -1; 712920340; -1; 449176248; 184030350; -1; 91200513; 375725077; 879189086; 248249122; 438048027; -1; 222507711; 198298770; -1; -1; -1; 287096014; -1; 551345341; 792936184; -1; -1; -1; 10780684; -1; 111868866; 475854193; 166861540; -1; -1; 465764348; -1; 935842463; 45117769; -1; 829738585; 8547485; 616439015; 360373830; 492270205; -1; 417080176; 397729237; -1; 27283611; -1; 696078462; -1; -1; 909114078; 235274061; -1; 596465442; 302434444; 67738706; 48069042; -1; -1; -1; -1; 745925657; 68607840; 19603192; 899255914; -1; 977365743; 568528315; -1; 544414439; 886596797; -1; 868459881; 376147602; 900804330; -1; -1; 445658793; 17945382; 955529302; 999994137; 767970808; 357750595; 500089086; -1; 423123038; 90194620; -1; 158686015; 821131462; 686675580; 196464596; -1; -1; -1; 25599617; 940387115; 576924436; -1; 393928169; 698716378; 41364384; 1631373; 268375815; 915863216; -1; -1; -1; -1; -1; 386039364; 966109269; 620106430; 617261883; 88165514; 845477642; -1; 545919065; 583617409; 405831783; 567407160; 610061002; 774837600; 700522057; 944237732; 811294982; 372757663; 975725434; 861964339; 429745433; 500809547; 946452003; 75871636; -1; 632328592; -1; 387464518; 52417232; 648153242; -1; 73647172; 681175760; 417577290; 650312456; 62597800; 351884271; 705396085; -1; -1; 555416541; -1; 232905285; 615751600; 881570832; 14849566; 37634835; 860819683; 615856879; 27527201; 2846626; 201036160; 502115235; 770702476; 498964314; 629531985; 297802193; 200961330; 733562266; 911154145; 491085589; 726818964; 280195491; 185902019; -1; 74293367; 230691431; 730793859; 16145406; 105128991; 329982570; 632949465; 108485006; 738634166; 637986566; 314052822; 373857721; 397686850; 309979642; 200834663; -1; 70002299; 102091087; 4888821; 955593295; -1; 122879980; -1; 693644846; -1; 250569416; 489726802; 144347174; 157443567; 299405214; 577173110; 418749031; 187478198; 566055983; 413712586; -1; -1; -1; -1; 956563514; 359063165; 997948692; 119999426; 527463590; 205850667; -1; -1; -1; -1; -1; 979924315; 633732784; 181408013; 281768709; 135442050; 193292668; 311428740; 357298700; -1; 4311243; 505922531; -1; -1; 13772446; 732773693; 997599973; -1; 663483247; 186384554; 319965606; -1; 291179313; 949098404; 523438940; 40178022; 328544580; 731971439; 440264586; 164340196; 133907493; -1; 352064785; 25751627; -1; 372410489; -1; 190235752; 758024790; -1; -1; 830774850; 577264565; 564138880; 435407228; 835088695; 632932337; 870639277; 217833879; -1; 831157048; 606342747; 752731677; 141135957; 201051023; -1; -1; -1; 310186234; 849166524; 809546384; -1; -1; 615903124; 210276540; -1; 144996575; -1; -1; 479882883; 468592758; 59830571; 150626749; 306865801; 6887572; 937668408; 142496019; 53445605; 874446544; 288143362; 453223321; -1; 880741979; -1; -1; 706758266; 475485253; 997268727; 416676760; 227180488; 567951232; 24259569; 171814071; 839633192; 258303658; -1; 477813673; 736343780; 204010958; 22434473; 771020754; 582689666; -1; 136687693; -1; 787619526; 455336167; 15169840; 429403837; -1; 819625992; -1; -1; 988459791; -1; 952934443; -1; 13657111; 106508748; -1; 899250483; 407750571; 509199175; 536302454; 76924833; 165003408; -1; 724922664; -1; 766955732; 27983649; -1; 942911331; 973056755; 337222717; -1; 696596085; 496996634; 954401014; 932284182; 394120349; 397290557; 288751861; 220755739; 300488739; 538403107; 282474698; 714768662; 721721326; -1; -1; 196198224; 978887012; 806793566; 788380614; 508583504; -1; -1; 742465470; -1; -1; -1; 582490990; 415471238; 171572251; 404411385; -1; -1; 489103492; -1; -1; 159793761; 979975819; -1; 352511411; -1; 546081915; 541617805; 918012858; -1; 310715904; 691879140; 614468591; -1; 771403333; 669254181; -1; 683269650; 218824368; 959072184; -1; -1; -1; 312315207; -1; -1; 164840507; 997465725; 531476119; 481773795; 520782351; 495292227; -1; 22253240; 470698231; -1; 806345429; 204110092; -1; 616726554; 558191747; 977225784; 522264139; -1; 750382318; 637371054; 713590265; 36230300; -1; 501448427; 364690718; -1; 135411548; 546098206; 214124925; -1; 118008759; 74047000; -1; -1; 372165305; -1; 821625105; 953239302; 851971547; 366515667; 327568212; 655966121; -1; -1; 128116148; -1; -1; 371922869; 594219276; 298054592; 692970053; -1; 275501755; 776197674; 460793803; -1; 224191108; -1; -1; 288967731; -1; 568668919; 744939044; 698338179; 604216559; 855152253; -1; -1; -1; 547475708; -1; 752439065; 420468204; 331929630; 708713627; 40941894; 895579815; 49977022; 991016534; -1; 202840711; -1; -1; 276283322; 756649281; 463283493; 698907062; -1; 736899593; 837973165; -1; -1; 467560493; 606842960; 565884910; -1; 293774405; 503792500; 816023708; 589879586; 615147633; 352953201; -1; -1; 649405061; 473172225; -1; 441574826; 358241250; -1; -1; 184525399; 927626819; 475931613; 710033248; 947238579; -1; 393335113; 91602418; -1; 793086473; 168381247; 978746078; 54331816; 741181364; 431364542; 106057586; -1; 11352538; 867212119; -1; 169372154; 794903968; -1; -1; -1; 356555639; 996290545; 310077615; -1; -1; 682030960; 178343588; -1; 511451057; 196213256; 412907600; -1; 437308880; 953009370; -1; 886790646; 61818595; 431007033; 537564632; 884499535; 797177234; 514697359; 448224818; -1; 107498370; 739940756; 896027723; 655894161; 97504013; -1; 831265645; -1; 207201526; 937984269; 770104288; -1; 29857450; 855692694; 259433780; -1; -1; 275627469; -1; 47603697; 871358360; 21947285; 254389514; -1; 191947545; -1; 427104339; 296951284; 458906007; 225168103; 614671881; -1; 394907823; 661591952; 5008545; 276025653; 465294493; 828206074; 539676152; 663064981; -1; 937377246; 377089121; -1; 497781705; -1; 300686926; 81135546; -1; -1; 455057662; 193697419; 172210307; -1; 323379106; 875294126; 213995169; -1; -1; 972430913; 226057121; 135855568; -1; 566474975; -1; 734883943; 178572078; 212879030; -1; 616057612; 795600747; 340485082; -1; 921049176; 444286236; 580011403; -1; -1; -1; 894746652; -1; 939769905; 170765376; 907368062; 54363410; -1; -1; -1; -1; 887548676; 761407216; 709694330; -1; 750577452; 354233175; 847041709; 136220582; 961469203; -1; 653248061; -1; -1; 204335763; 73384912; 563207296; 150141362; 768446869; 668306830; -1; 750118432; 306229010; 15516090; 419485253; 677885468; 858388820; 313668712; -1; -1; 692609906; -1; -1; -1; -1; 124045897; 99757231; -1; -1; -1; -1; 802918503; 92966756; 695497051; 957147421; -1; 574671857; 627106845; 852781164; 135235897; 951111861; 46680323; 802019574; -1; -1; 537078155; 920646195; 826837170; -1; 185650172; 794080754; 946361084; -1; 343339322; 499560113; 925369760; 684160041; 97259027; -1; 643030345; 562041619; 284229157; 246171912; 724504086; 331579825; 586303936; 375965229; 809570035; 351553317; 704733965; 251962804; 555569737; -1; 358590124; 385030980; -1; 86801790; -1; -1; 146683165; -1; 482864148; 810793061; 279017286; -1; 773724394; 428607248; 593882067; 327228548; 825919530; 439211520; 467399526; 709030788; -1; 398315310; 214605714; 913882617; 736126486; 301950040; 849817353; 640612465; -1; 469872603; 328125876; 950928033; 438767319; 688622303; 760573112; 130997814; 950820798; 660629126; -1; 982026376; 279903275; 556681895; 612167764; 519977580; 5761173; -1; 176232595; 707169112; -1; -1; 933873031; 257470804; -1; -1; -1; 172432967; 589485720; 771609375; -1; 497487441; -1; 595380131; 464787010; -1; 619527723; 234664302; 1995965; 680806498; 245294660; 220103920; 515148505; 279987322; 380305293; 148199271; 70548871; -1; -1; 747098575; -1; 855849247; -1; 189986145; 442763827; 354852509; 943812123; -1; 127542480; 532483932; 775952714; 181660231; 228469236; 409297398; 828925586; -1; -1; 321238985; -1; 300457155; 906400992; 179920281; 368322912; 976980137; -1; 850773284; -1; -1; 818569647; 875067986; 696589703; -1; -1; -1; 842571375; 482283192; 33791832; -1; 116035961; 868121291; -1; 43504086; 913062774; -1; 53064868; 54073486; 335262812; 395679133; 998367843; -1; 274892534; 412561825; 547487984; 417894296; 244643937; -1; -1; 719200422; 199099757; -1; 678349280; -1; -1; 318592789; 735311369; -1; -1; 132614343; -1; 689314305; -1; 926267169; -1; 811112368; -1; 923197238; -1; 144806495; -1; 419236229; 85356910; 361629968; 62046914; -1; 952500575; -1; 291268081; 792552446; -1; 419231880; 521260408; 718690197; 956940920; -1; -1; 288357315; -1; -1; 651182276; 261956055; -1; 974586637; 498997488; 234272448; 854924310; -1; 410297743; 384065539; 247767418; -1; 136701075; -1; 21798189; 96855880; 965582479; 182653299; -1; 326723362; 669945956; 135081398; 31822192; 404439143; -1; -1; 972730055; 886948575; -1; 665303078; -1; -1; 669092733; 195128681; 206735907; 933891993; 438919224; 581288324; 805659816; 408167040; 792295779; 633279872; 640470214; 630418191; 92792891; -1; -1; 212524373; 493865420; 251477335; -1; -1; 824992183; 292407396; 94272565; -1; 624124718; -1; -1; 542016700; 233774087; 309231083; 663984538; -1; 724905782; 522191430; 845679465; 996643734; -1; -1; 549058825; -1; 561210369; 37231692; 719430106; -1; 227548169; 574973141; 429643632; 864792877; 920355859; 771976549; 287356538; 663542562; 721230573; 258835130; -1; -1; -1; 748413208; 625687381; 225493521; 888245215; 839314502; 573321376; 649472579; 262070315; -1; 594247632; 146233376; 228630397; -1; 553305776; 250654855; 608264136; -1; -1; 46210443; 320306761; 504049; 569962423; -1; 576914340; 555206510; 215192225; -1; -1; -1; 416097914; 750494830; -1; -1; 920680789; 517074278; -1; -1; 600056299; -1; 728569210; -1; 215947919; 893031737; 930396550; 573500419; 248914207; 481473882; 164857588; 184311562; 171227187; -1; 28610432; -1; 311144027; 181031992; 179567627; -1; -1; 552727921; 708538849; 300704657; 311052944; -1; -1; 582683126; 323122479; -1; -1; 179988172; 11601732; 144222878; -1; 975702290; -1; 281499846; -1; 653968990; -1; 418941688; 163460980; -1; 766835061; -1; 837661511; 775113356; 41691836; 628801748; 735482264; -1; 340952728; 136959439; -1; -1; -1; -1; 159802684; 658966021; 396764231; -1; -1; 192617976; 89138660; 259429295; 235787665; 192641861; -1; -1; -1; -1; -1; 880851052; 249201464; -1; 329428734; -1; 776604175; 946038188; 129163887; -1; 367627823; 950822692; -1; -1; -1; 531828041; 772678863; -1; -1; -1; 909208890; -1; 679572398; 722006606; 709269447; 737963436; -1; 763031530; 162947712; 544551018; 346644641; 59143584; 272581943; 999462951; 913306559; -1; -1; 758209452; -1; 942086312; -1; -1; -1; -1; 824269169; -1; -1; 106553941; -1; 509751749; 578919956; 261919524; 985521824; -1; 141948423; 907244718; -1; 177044170; 595729088; -1; -1; 89492252; 661753130; 536350653; -1; 963066975; 267691587; 46249776; -1; -1; 493878688; -1; 204330053; 363331895; 939122881; -1; -1; 225260595; -1; 625411133; 893250378; 936383253; -1; -1; -1; 959352474; 565814496; 691145380; 174280673; 624745799; 928036172; 791760392; 211961801; 481761805; 185541087; 966444189; 839481832; -1; -1; 514001130; -1; 665434998; -1; -1; 367970632; -1; 981994008; 883113784; 328140244; 513722842; 916443102; -1; -1; 341235848; 946791626; 24568166; 34783082; -1; -1; -1; 47709403; 599812451; 74476002; -1; -1; 607186490; 469993138; 329315314; -1; -1; 126248791; -1; -1; -1; 67679496; -1; 723230329; 895020776; 823620444; 834295194; 866941598; 440699456; -1; -1; 311049598; 677368221; -1; -1; 647223847; 717337221; -1; -1; -1; 262854040; -1; 657760901; 906024795; 969106957; 255588432; 58070974; 668226489; -1; 385321582; 539461920; -1; -1; 168410188; 639678366; 585702037; 516353305; -1; -1; 98287810; 90835415; 972622279; 84200489; 746352907; 328991110; 941851228; -1; 636159687; -1; 365637882; 207808252; 883334473; 991288786; 477215555; 977724602; 259767418; 908107375; 584748002; 64319641; 859167109; 946167847; -1; -1; -1; 276565310; 33413437; -1; 372695945; 914054242; 514312635; 287402777; -1; 28960446; 328345613; -1; 698722121; -1; 193705527; 416469427; 550692975; 337193503; 172871112; 992321269; -1; 54797413; 977337863; 995742163; -1; 865671414; -1; -1; 545644934; 895890239; 908953258; -1; 576502706; -1; 569276904; -1; -1; -1; 592192997; 169186004; -1; 973927032; 559089146; 417638057; 191852541; -1; 51912384; 622635414; 380149358; 16364897; 514565477; -1; -1; -1; 281469284; 285900898; 882398486; 506227917; 258661883; 563903803; 52405489; -1; -1; 654653533; 261651231; 134881875; 995481856; -1; 874452847; 953829153; -1; 300816379; 44842305; -1; 690023523; 287090744; 861083232; 854694763; -1; 716821870; 958391367; 729650580; 587738150; 458943437; 315330715; 973821735; -1; 913272938; 560294000; 527548116; 986871059; 958110302; 925454742; 506915068; 202214856; 43063454; -1; 789914907; 243147514; 195768296; 129054348; 671908247; 301197510; 735237479; -1; 67250330; 748091270; 978410546; 447244498; 770745155; 303632613; -1; 963685335; 495061843; 715691918; -1; 392057865; 465017719; -1; 172689392; -1; 848713267; 217321364; -1; 366020084; 669918769; 815206167; 239642277; 638826641; 93824779; 584655681; 512968757; -1; 321609369; -1; 696307123; -1; 181455730; 158988620; 201885599; -1; -1; -1; -1; -1; 295992519; -1; 95096867; 485054082; 801952624; 748945566; -1; 690240704; 2769256; 132418973; 943249269; 978551221; -1; 782785548; 423491388; 747501759; 666216282; -1; 242501525; 959482601; -1; 63922649; -1; 696104640; -1; -1; -1; 96739769; -1; 951133347; 145223463; 970310202; 761753812; 469556842; 739394503; 100524987; 204563287; -1; 547020742; 690928675; 143259116; 941755474; 606778753; 607959679; 396789461; 458207649; 706865011; -1; 183949674; 796591495; -1; 98891745; 794130180; 424179712; 608326308; 793797059; -1; 922879839; 61089923; 541129549; 601109959; 536302876; -1; 606493183; 705213243; 557558572; 281428480; 922243886; -1; 415914517; 423139085; 41313443; 198799675; 606415074; 120233973; 751114913; -1; 524182899; 821248305; 961247459; 393774049; 450040993; 236662824; -1; 209552576; -1; 711454364; 345636101; 592350399; 167413969; 365174773; 760350938; 7757538; 805260404; -1; 765359158; 32768912; -1; 990501176; 190177905; 983698474; -1; 899052873; 898005154; 120544385; 402188071; 498969902; 664283895; -1; 413853610; 281120242; 122570464; 477770525; 938868327; 361848756; 189309267; 638092965; 678181836; 452342087; 574527098; 651093328; -1; 130815299; 985926716; 643342351; 610275761; 259303619; 713902383; -1; -1; 983971904; 819520964; 163726253; 187043883; 211003545; 59498353; -1; 188666752; 144186730; -1; 436117137; 757328948; 87172028; 497845353; 181587371; -1; 843879616; 768538658; 120427743; 485348447; 556151969; 371882666; 315721634; 907463064; 648577791; 273403680; -1; 823657036; 826457865; -1; 981831269; -1; -1; 89485578; 644054426; 774436626; -1; 642680574; 821503057; 364429175; 127677847; 589004966; -1; -1; 810954534; 173574414; -1; 981517224; -1; 924983247; -1; -1; -1; -1; 361111893; 855617753; 892478371; 289726356; -1; 990802136; 585606657; 567949897; -1; 845065382; 808345989; 124827247; 454826994; 732493312; 71343664; -1; 752624181; 675265776; 554646707; 156669372; -1; 210002236; 702636994; 679257733; 66827834; 541439176; -1; 419713588; 641213345; 333506930; 681875165; -1; 847224596; 857255401; 604671165; 129138258; 654445923; 25080436; 505609659; 516141476; 161562865; 594687909; 942426503; 589763964; 891713999; 618183071; 605986571; -1; -1; 703531846; 490690631; -1; 94829854; -1; 105901586; 198021771; -1; -1; 293488973; -1; 668171993; -1; 381240485; 475677475; 613560880; -1; 396602956; 823742368; 365990641; 762829637; 260591616; 700546963; 376989340; 732526665; -1; 26171685; 622113849; 467538707; 639653176; -1; -1; 588816630; 578709968; 399418585; 832813282; 132588650; -1; 543280047; 561454764; -1; 943914076; 480001343; -1; -1; 906156791; 223621345; 11870374; 640879076; -1; -1; 741192133; -1; -1; -1; 835361084; -1; -1; 10628817; 69520733; 487722375; -1; 683819696; -1; 371827457; 865559631; 794444147; 83734000; 986138151; 572337908; 945797793; 212534459; 512879843; -1; 234228393; 792909698; 271499069; 584420619; -1; 487450703; 79152871; -1; -1; 80888412; 731685600; 31271622; 374386247; 472929857; 507716587; -1; 408238343; 577568367; 993398420; -1; 231948510; 883090254; 575534277; 705206877; 78990170; 664014003; 839438559; 449843792; 28130350; 108190041; 683728160; -1; 772583342; -1; -1; 962490641; 56174246; -1; 252437776; 821204041; -1; 35578926; -1; -1; 644104247; -1; 897335726; 291103755; 356327667; 362765929; 588757868; -1; -1; 109678178; -1; 999625675; 641550877; -1; -1; -1; -1; 518297936; -1; -1; 294678915; 644604373; 23867626; 514818490; -1; 25668999; 48352892; 604693047; -1; -1; -1; -1; -1; -1; 331690254; 861835210; 231077616; 868450901; 603094951; -1; 335915979; -1; 828504770; -1; 43503609; 725046142; -1; 581611496; 535298393; 704051943; 539255771; 575162940; 734738236; 463006561; 24118214; 96483667; 892669564; 82015217; 2786289; 459014276; -1; -1; 284377711; 378019061; -1; -1; -1; 489930559; 962397327; 99637899; 71092059; 712679536; 332033172; -1; 535230294; -1; -1; -1; 893527064; 404144870; 285210983; -1; -1; 651413037; -1; -1; 535289853; 425587107; 397380483; 48757547; 822076849; 184860797; -1; -1; 693575722; -1; 835790147; 998565734; -1; 258367766; -1; -1; -1; 825568662; -1; 837309764; 335323035; -1; 13433953; 657549366; 426086303; -1; 119707515; -1; 351693587; 627786038; 34459272; 889669292; 253314907; 865783408; 663795323; 897515005; 644940496; 426462541; 309448366; -1; -1; 535351277; -1; -1; 452097241; 110226232; 664829726; 170981612; -1; 793139234; 523969510; 136880508; 387053992; 93380734; -1; 49578908; -1; 235653213; 875461381; -1; 879155444; 628859078; 459599987; 465975874; -1; 894248121; 658185565; 643657995; 42787789; 173772394; 29822726; 634817140; -1; 45627525; 63148889; 624659966; 927445041; 640880513; 224481627; 834750076; 510810518; 743255397; 453464405; 84369175; -1; 248254121; 363756744; 688233690; -1; 485331877; -1; 208882524; -1; 910164428; 870217312; 937639620; 622084018; -1; 344832883; 600444266; 813567113; 101230459; 412043627; 203012400; -1; -1; 958078951; 842761595; 915935908; 418170575; 88166417; -1; 386277639; 148402308; 731718040; 259519758; 990038111; 795449154; 963826527; 373656964; 116417060; 923369803; 408716828; -1; 995542595; -1; 104809336; 57769034; 265494322; 536696327; -1; -1; 801714224; 692379887; -1; -1; 423360947; -1; -1; 974766031; 549287678; -1; 140506142; 454170479; -1; -1; -1; -1; -1; 659058688; 89536612; 646086229; 591112663; 761698255; 728886250; 426325953; 811371381; 229914596; 509838165; 723641366; -1; -1; -1; -1; 349422693; -1; -1; -1; 513879400; -1; 154433479; 360172893; 931337715; 99877662; 609837588; 255684903; 921557630; -1; 454489024; 910771050; 941513960; 938737624; -1; 785369817; 117059824; 133274042; 623146657; 177211309; -1; -1; 899690084; 587951215; 306017970; 593263919; 314132493; 671576940; -1; 57113737; 573741493; -1; 385308284; -1; -1; -1; 173826868; 130008584; 634297515; -1; -1; 668924988; -1; 550417067; 872844454; 539491365; 401342070; 554914083; 333846111; 851098647; 18958018; 811687667; 512531766; 698595470; 453694574; 214163991; -1; 527302; 305503026; -1; 895234959; 791202193; 412699079; 103345316; -1; 602822407; 579515318; -1; -1; 120237157; 989160966; 390098680; 261171372; 110425818; 991716386; 800091397; 576394477; 914052968; -1; 44778479; 617390478; -1; -1; 273084928; 836725293; -1; 701579327; 13581348; 295736540; 898803214; 150574430; 432589166; 185889630; 467117694; -1; -1; -1; 901147662; -1; 64994721; 994223818; 23272467; 850605033; 351678796; 722856637; 458294006; 802662343; 317872644; -1; -1; 29439704; 739077123; -1; 162160994; 152726375; 762959001; 155662106; 229477147; -1; 787919191; 16242841; 215823272; 517212043; 131389381; 741697088; -1; 974190477; 812240422; -1; 742838118; 143166229; -1; -1; 130730418; 239183905; -1; 492060571; 130726157; 932448642; 114696259; 439703311; -1; 639691552; 348083912; 946545330; -1; 227112552; -1; 29508574; -1; 559601257; -1; 505177147; 257307671; 414501216; 642730417; 128909226; -1; 974438291; 692577593; 801757236; -1; 666627114; 236313857; -1; 748919926; 441533539; 186703022; -1; -1; 510339898; 645687807; 946220067; -1; 445052756; -1; -1; 87686447; 233080918; 483913094; 74187570; -1; -1; 269293170; 994252496; 126277738; 119033905; 727907822; -1; 517996666; 99098430; 640269290; 252912694; -1; 490289384; 489238265; 397125347; 219588435; 853678286; -1; 623653632; 482359872; 833509213; 461557; 49325721; -1; 458059279; 515795568; 881928835; 989531689; -1; 327048937; 873439435; 696496621; 26979024; 451405541; 962114797; 952434368; 710909213; 234979679; 470173715; -1; -1; -1; 519637304; -1; 722470267; 68975869; 113499873; 290333541; 196098029; 755769064; -1; -1; -1; 460767585; 333647529; -1; -1; 323083934; 575719115; 956061914; 859135294; -1; 991482423; -1; 764111291; -1; -1; 409601819; 811447441; 680052391; 367188843; -1; -1; -1; 745349077; 821539535; 731344636; 563604708; 807505047; -1; 923412765; -1; -1; 732476316; -1; 166415144; -1; 640428188; -1; 597896159; 385293505; 172866552; 675504075; 441815992; -1; -1; 909466231; 585020182; -1; 120229843; 691501878; 137867488; 698707186; 965858402; -1; 677134200; 550793190; 328994498; -1; 243518625; 696625499; 756756; 722073002; 512252348; -1; -1; 615117963; 810032958; -1; 342243924; -1; 719814779; -1; -1; 568622201; -1; -1; -1; 213345032; 222495034; 216915614; -1; 631916269; 457176521; 351874420; 148843651; -1; -1; 798349044; -1; 387311706; 523481421; -1; 387324362; -1; 324849205; -1; -1; 883470466; 111591418; -1; 891620399; 741038979; 16784005; 833208177; 66228518; -1; 360060561; -1; -1; 987845970; 935739766; -1; -1; 222012658; 995506982; 978492593; 916323242; 592721008; 96103545; 222395887; 825641974; 558388229; 881878350; 989001332; 347694613; -1; 303641972; 785433668; -1; 30327063; -1; -1; 789543530; -1; 46806747; 438916298; 151232745; 230788060; 174886225; -1; -1; 923018575; 71748799; 214047906; -1; 910427253; 271421876; -1; 772165188; 958214700; 81340138; 848512201; -1; -1; -1; 754915301; 490893186; -1; 554742030; -1; 635805787; -1; 146593865; 908592402; 561295035; -1; -1; 194869288; 31178601; 76935231; 600269184; 334762924; 582461651; -1; 674791349; -1; -1; 201019530; 734045379; 491665558; -1; 209998405; -1; 248840157; 844510534; 826265784; -1; 973893555; -1; 524114674; 563137228; 635653644; 968330451; 658536126; 521097695; 785159275; -1; 997822555; -1; 29960738; 16922140; 215355868; 305908043; 954834694; 71568676; 467884297; 319486530; 601278885; -1; 867120986; -1; 960159583; -1; 373539181; 454526351; 261431145; -1; 48774924; 124634349; 950525771; 359332883; 701628977; 981539989; 626013596; -1; -1; -1; -1; -1; -1; -1; 476308728; 263217039; -1; -1; -1; 211310269; 882027276; 170171672; 191671945; 195479794; -1; -1; -1; 376612441; 89789430; 310581877; 276384558; 284816125; 207937596; 71276079; 471597980; 165027507; 26596668; 114844434; 897986580; -1; 355117139; 728947077; -1; 343750243; -1; 551501190; -1; -1; 966942706; -1; 22579019; 9561955; -1; 314312692; -1; 92817200; -1; 640252897; 558811359; -1; 308707360; 107952087; 580473010; 412191965; 72432720; -1; 110177496; 948334199; -1; 691070328; 245350338; 740409841; -1; -1; -1; 643765760; -1; 299383685; 11622519; -1; 488849958; 520117679; 249850486; 892787130; -1; 916067003; 584338114; 197808698; 956300487; 649505567; 600231070; 275070112; -1; 22311322; -1; -1; 481140048; 429766563; 173028842; 815510077; 470359511; 49130720; 612763917; 811714287; 949339793; 657621319; 805365837; -1; 836980348; 442750724; 45581482; 837338108; -1; -1; 886710006; -1; 990244031; 451522531; 128762782; -1; 867022446; 238147562; 667912537; -1; 948395186; 266340058; 717045466; 664464927; 165681963; 897775547; 265044298; 816878255; 342080209; 150349213; 708188672; 162758681; 913739533; -1; 745557721; 227245223; 767237773; -1; 89676717; -1; -1; -1; 721371278; -1; 397684779; -1; 509171420; 21699540; 350787782; 953256318; 930655266; 11729474; 32087412; 490174107; 586651918; 398525999; 640166373; 943098270; -1; 968408447; 961211753; 166161225; -1; -1; 741071783; -1; 214288386; -1; -1; 619893173; 228714406; 598799686; -1; -1; -1; 734278632; 279489612; -1; -1; -1; 621811604; -1; 422673068; 80248562; 774892618; 511836454; 73151954; -1; 345053764; 302297869; -1; -1; 46313322; 214284685; 753605648; 143566599; 104711172; -1; 928532208; -1; 830493185; -1; -1; -1; 562957827; 815209478; 737513485; 472484530; 767712548; 317311207; -1; 161487361; 813055662; -1; 150644583; 252624908; 462240887; 502061926; 39158287; 105508521; 624418607; 943875893; -1; -1; -1; 953596861; 227499876; 703004489; 641105639; 636565132; 267892348; 829840375; -1; 50422950; -1; -1; 351570420; 57909846; 451160366; 198118663; 764639121; -1; -1; 850561151; 443804725; 386683284; 215076469; -1; 645041175; 91077436; 147828449; 913352379; -1; 465154613; 95926264; 115783426; -1; -1; 418188703; 83913718; 759567261; -1; -1; -1; -1; 142803152; 684567619; 304366283; 685876670; 870259315; 263342920; 741611495; 852310855; 272350877; -1; 939188894; 561754322; 880073735; 650985580; -1; 950543924; -1; 512098832; 69951356; 716972547; 805400987; 147169995; 904999856; 462633843; 203676558; 948830276; -1; 318920416; 875143868; 742453524; 918335952; 458110550; 387601608; 637428824; 677347574; -1; -1; -1; -1; 595246246; 833675468; 40304923; 356393803; 873343613; 383772662; 395884150; 829557663; 443938736; 438635975; 31905839; -1; -1; 725825587; 436813920; -1; -1; 212335846; -1; 718929554; 871750679; 995951525; 242324498; 6056723; -1; 543477664; -1; -1; 713781434; 30659634; 691275914; 168169128; 855453098; 773367782; 365471361; -1; 573824153; -1; 137751295; 946330392; 468561787; 525795166; -1; -1; -1; -1; 483385098; -1; 109754444; 27501143; 29495830; -1; 943113539; -1; 127563500; 390508578; 160859918; -1; 705572001; -1; 486525015; 406625313; 611547800; -1; 197031190; 178462355; 153961538; 107732340; 393493406; 536011497; 459138397; 1277658; -1; -1; 830415905; 254307154; -1; 608917184; 682124532; 606522873; 922694234; 551992982; -1; -1; 214422884; -1; -1; 630293183; -1; 371727235; 820219465; 242339866; 843967534; 427123807; 108825291; 632691078; 603344279; 130829314; 441287211; -1; -1; 833078410; 628984176; 928872057; 313531778; 325670564; 137015738; 19694604; 437848099; 201182573; 948836870; 874064295; 551467073; -1; 959390032; -1; -1; 996287003; 42734161; 666283561; -1; 338326671; -1; 770518808; 142990989; 368642994; 641979608; -1; 714800603; 110242726; -1; -1; 645224886; 428037128; 853804743; 683760385; 474471375; 256672151; 765845560; 903791883; -1; -1; -1; 91830113; 713753412; -1; 695768751; 818685765; -1; 602273962; 623172081; 219128586; -1; 987709245; 335244723; -1; 328549321; -1; -1; 317347270; -1; 285163698; 837086029; -1; 419114520; 268174309; -1; -1; 513200892; 339399580; 972155120; -1; 639600828; 115102053; -1; 715637548; 206888650; -1; 297544422; 647548783; 921615282; -1; -1; -1; 924493838; 431642349; -1; 205760138; 615362949; -1; -1; 538745938; -1; 642494050; 891398961; -1; -1; 959773602; 260621204; 355708762; 409125306; 1790187; 979349935; 537697740; 567803908; 573562922; 893971689; 802113640; -1; -1; 642150698; 345809924; 519328629; 261429427; 285040251; 238971481; 320047097; -1; 160727757; 113794206; 264189032; 328493883; -1; 717969220; 251921804; 416514059; 84586925; 185438722; 879492562; 751765797; 862493582; 604144348; 11453588; -1; -1; 463389918; 910445597; -1; -1; 766055011; 438230183; 391449168; 908466043; 323274245; -1; 192016; 164464860; 274581858; 868891147; 271788402; 761711811; 681116998; 293786533; -1; -1; 621622455; -1; 4232226; 215835189; 151869349; 898970167; 963142360; -1; -1; 326509124; 677709441; 661549020; -1; 887556273; 798812889; 91855892; 248836682; 114928402; 609782830; 75598261; -1; 265963160; 815917588; -1; 409855576; 730362117; 697337188; 506179387; 795432838; -1; 941385955; 411984255; 29148692; 894141376; 613223767; 558418370; 529693828; 655947668; 800016547; -1; -1; 864556553; -1; 133283284; 695645659; 584217384; -1; -1; 331233838; 77063647; 589728705; -1; 418181995; -1; -1; 669484584; 585620286; 298032651; -1; 983758037; 815995156; 751162095; -1; 787027854; 89087; 986254510; -1; -1; -1; -1; 627295099; 312710369; 574930562; -1; 197745997; 611988057; -1; 855607596; 918537739; -1; 145600208; 302222708; -1; -1; 787974382; 285663251; 882235808; 865889307; -1; 378199409; 684130641; 228034506; -1; 18249164; -1; 949858001; 506504354; -1; 688214741; 199308569; 984843931; 620419624; 884657869; 441612259; 100201216; 817904844; -1; 520225785; -1; 760501737; 347155838; -1; 589661519; 256565628; 76840122; -1; 590634011; -1; 845786070; 911651462; 741004644; 491893465; 926211509; 16941357; 302903704; 5314597; -1; 74665345; 956910384; -1; 229739157; 793456791; 802593857; 454188230; 927267476; 86928982; -1; 91002327; -1; -1; 347899364; -1; 135970612; 350473625; -1; 266536375; -1; 683045116; 56610868; -1; 854750453; 133038367; -1; -1; 826175180; 364567816; -1; -1; 788258862; 294759405; 884430423; 698577303; 523476085; -1; 565331821; 423461270; 474892816; -1; 122367148; 92682452; 895630200; 913356005; 17006416; 874745555; -1; -1; -1; 990826984; 83813852; 887416776; -1; -1; -1; -1; 372820724; -1; 910406161; 367574769; 165927962; -1; -1; 936030024; -1; 107901247; -1; -1; 936781585; 401002251; 795921560; 109626865; 490573008; 434769965; 298003868; -1; -1; 273894597; 56083672; 710729799; 774262238; -1; -1; 321711454; 646496736; 530289387; 285735993; 570475708; -1; 726325660; 741528646; 673937040; 934063510; 98478783; 230709174; 92420595; -1; -1; 205746452; -1; -1; 887770600; 511194381; -1; 481888280; 825473798; 684818392; 597623576; -1; 424360047; 448075217; 771964115; 968944270; -1; 507773222; -1; 613151331; 515093643; 374878451; 477581487; 754434009; 991433676; 667697963; -1; 214982334; 927842732; 536414830; 485933102; -1; -1; 707906955; -1; 544794039; 265095290; 187943780; -1; -1; 824853082; 286664158; 656486623; 341613739; 417937044; 659261820; 463112145; -1; -1; 362636792; 207959514; -1; 30571127; 298265099; 283111891; 89189359; 918917845; -1; 47520898; 560140785; -1; 50651429; 292131343; 903092345; 677631980; 214734195; 529456193; 932201186; 435474758; -1; 725334714; 778953196; -1; 976266591; 626167290; -1; 661591229; -1; 639093742; 847625047; 371260534; 809497781; 338388578; 571277361; -1; -1; 247286793; 63871550; -1; 214627569; 877499062; 930714577; -1; 987387996; 54420114; 978761674; -1; 329273677; 815030977; -1; -1; 535466194; 464610850; 423235373; 907037301; 501796374; 378289597; 107744054; 590969629; -1; 916961210; -1; 661606430; -1; -1; 838781696; -1; 908599259; 995091837; 884213243; 143688667; 648512710; 20683693; -1; 731373668; 95983293; 187131103; -1; -1; -1; 629214225; -1; 845012091; 252011170; 220743747; -1; 446924278; -1; 528984388; 358728727; 241658009; 331200443; 488699836; 731172594; 871080015; 621639445; 751006382; 561104690; 376770946; 354852162; 143959421; 998768622; 230098202; -1; 124909317; 580998312; -1; 841070660; -1; 962622172; -1; 800149260; -1; -1; 743815239; 271908629; -1; 255894509; 163123752; 437962812; 229224334; 36306959; 767301460; 207889250; -1; 953688920; 131965336; 378062564; 689305436; -1; 65105612; 290541545; 156961477; 803302677; 675600947; 453010941; 930416687; 548804248; -1; 145307151; -1; 436541399; 633325829; 536708579; -1; -1; 273448417; -1; 700548824; -1; 593474502; -1; 25004589; -1; 602748551; 766480327; 896556551; 176889132; 906859946; 791578284; -1; 159689661; -1; -1; 227716951; -1; 833560782; 659156108; 597834260; 139448399; 186068657; -1; 580285695; 756120322; 989261063; -1; 370356299; 131075580; 429158271; 894242887; -1; 824008324; 801150908; -1; 830682977; 832714295; 491777999; 542393971; -1; -1; 383988913; 254451928; 172273007; 937215819; -1; 953356533; 28089050; 103459422; 913144174; -1; -1; 84380171; -1; 680242919; -1; 618394435; 204093462; -1; -1; -1; -1; -1; 658410065; 217073138; 177433431; -1; 22418509; -1; 340664221; -1; 263915825; 242731965; 706666483; 567624504; -1; 317407359; 661815224; 954536992; 913912036; -1; 435142589; 838506532; -1; 815448330; 242959868; 536145518; 928389651; 183354877; 984530973; -1; 974215716; 17970460; 124743548; -1; 919299007; 869541490; 440865336; -1; 635972937; 673828315; -1; 836864703; 348334202; 305133342; 451324455; 864193697; 264133600; -1; -1; 962592317; 107977438; 747179364; -1; -1; 693857442; 729076397; -1; 930955627; 246772124; 586287155; 747932605; -1; 324158043; 944012205; 922663169; 871738717; 346756618; -1; -1; 919355398; 539760616; -1; 621958671; -1; 470185899; -1; 444264969; 832468864; 558491084; 201765290; -1; -1; 785125083; -1; 723707200; 772172917; 620469051; -1; 145236462; 245179452; 919722148; 673954929; 262750888; 634598473; -1; -1; 276844226; 314783848; -1; -1; -1; -1; -1; 69114152; 400494142; 604607291; 53049255; -1; 213526301; -1; 530665484; 47412195; 91425919; 25973166; 205878615; 950667171; 93535982; 202506522; 175222627; 287024956; 750798413; -1; 106872341; -1; 12898698; 10390271; 909980022; 883573278; 850762655; -1; 499093931; -1; -1; -1; -1; 11461120; 96544002; 654582541; -1; 315799443; 337136505; -1; -1; -1; 207277096; -1; -1; -1; -1; 209704870; 292536941; 100836329; -1; 580328047; 232597946; -1; 903649817; 317629275; 544726617; 575641409; 967826343; 948690795; -1; 959651397; 840930454; 947083110; -1; 185203120; -1; 637207393; -1; 498964474; 496218618; -1; 248564249; 974971449; -1; -1; 297168545; 538793003; 931047723; -1; 704597421; 48167008; -1; 509943110; -1; 604233337; 146318267; 568911760; 685450384; -1; 824294079; -1; -1; 116146075; 761625735; 243243452; 380760587; 875855195; 691825462; 387655574; 371997130; 639978014; 332403011; 29541690; 831711183; 448026896; 392268105; -1; -1; -1; 617763376; 326922992; 1470590; 402116107; 662909935; -1; -1; 377514549; 813492931; 441761275; 624637678; 21782955; -1; -1; 956249887; 650846846; -1; 815502499; -1; 570980093; 839826144; 174802030; -1; -1; 676863522; 853024043; -1; 54060242; -1; 168243708; -1; 538268354; 959497403; -1; 852694150; 117899720; 917629104; -1; 944400692; 770363780; -1; 865667878; -1; 134094880; -1; 731711591; -1; 511529886; -1; 813547433; 925403976; 885144168; 48494003; -1; 39285051; -1; -1; 934121575; 859212033; 407081159; 131426772; -1; 410095151; -1; 242196396; 490868882; 874093271; 850862115; 604312075; 52599228; 836930032; -1; -1; 960325349; 637620447; -1; -1; 319800095; 168891353; 399702162; 479258462; 497223018; 483277730; -1; -1; -1; -1; 652419965; -1; 10060692; 291881271; 108456303; 664822827; 438384639; -1; -1; -1; -1; 451659167; 520574240; 8259380; 554120519; 519001059; 618996842; 714222741; -1; 414083441; 989547694; -1; -1; 234414736; 852985544; 353567557; 941972461; -1; 467925236; -1; 660071729; 26783616; 294785172; 638632616; 266056096; 837763546; 993671494; 594597550; 272398058; 822300519; 994537332; -1; 550825545; 576621038; 903415443; 751565996; 771621458; 432500594; 87773961; 771371337; 86217396; -1; -1; -1; 280568261; 927534385; 494992645; -1; 394592296; -1; 682081659; 95467098; 35527596; 927348731; -1; 27669003; -1; 77359979; 519890474; -1; -1; -1; -1; 747259691; -1; -1; 930637851; 504579520; 105259575; 100412369; 607207386; -1; 406846658; 551114465; -1; -1; -1; 322095548; -1; 92982063; 434920233; 826283983; 550958569; 738901187; -1; -1; 776498971; 67507143; 957777046; 863907742; -1; -1; 429897792; -1; 556288281; -1; 13394184; 102954209; -1; 637858418; 536014741; 181094824; 765072033; 931507071; 166359698; 907822190; -1; -1; -1; 898466365; 685154363; 227117416; -1; 187924102; -1; 891353384; 532546552; -1; -1; -1; -1; 576431416; 662340627; -1; -1; 844485466; 866723408; -1; 705957680; 186971645; 979021257; 359579281; -1; 318780243; 615686609; 536017455; -1; -1; 428367381; -1; -1; -1; -1; 195791444; 585273904; 734732801; 211905164; -1; 833715143; -1; 664899785; 811637436; 546075025; -1; 991732680; -1; 567404610; -1; 864874401; 361571522; -1; 910893012; 756860580; -1; -1; 777029768; -1; 632147821; 93310215; -1; 726194753; 225207807; -1; 20892109; 83667259; 605308248; 707930499; 621288525; 348580901; 938759524; -1; 614396055; 83536318; 357112196; 659318916; -1; 964565735; 680753124; 479113066; 729418196; 38762239; 346013701; 929338015; -1; 342633612; 607168691; -1; 559624681; 712967316; 543551421; 161930254; -1; 215740033; 982921878; -1; 141637680; 345669874; 135352624; 944736978; 413548318; -1; 962188399; 777918985; 903037793; 418192407; 257859968; -1; 569817074; 786362806; -1; 769227297; 693780831; -1; 226510468; 656966670; -1; 535550777; 172158938; 6725124; 511503231; -1; 782539661; 981048209; -1; -1; 360681220; 538050869; 929030507; 508032721; 536900396; -1; -1; 463357088; 451449226; -1; 97944673; 532083904; 213280565; 917438141; -1; -1; 289197006; -1; 349839059; 179860371; 99866726; 713925634; -1; 57503636; 205431936; -1; 711966837; -1; 338431289; 758047450; 436119365; -1; 415337208; 612136027; 584449738; -1; -1; 808134360; 114627712; 545350252; 43958933; -1; 138240564; 258543364; -1; 178856149; 799340962; 659476739; 945094415; 343494852; 48380446; 876706718; 846194078; -1; 611272124; -1; 846215611; 398354035; -1; 345589919; 323999097; 84512783; 832736196; -1; 282635594; 739949461; 582148365; -1; 864742749; 826097017; -1; -1; 186803569; 684408815; 904283676; 960980033; 50806169; 849005875; 926110011; 151680427; 951991537; 240135603; -1; -1; -1; 529532826; 817355180; 842052464; -1; 869906315; 237527014; 25496011; 833020295; 36365836; 456688523; 723489782; 60000261; 716522401; -1; 63421004; -1; -1; 8434252; 756840791; 371781609; 902830098; 264832449; -1; -1; 610567933; -1; 229871330; -1; -1; 742875293; 860686150; 736660793; 6624171; -1; 337533986; 194439179; 188254715; -1; 87306026; 124013654; -1; 72934999; 595450407; 860236655; -1; 487461589; 435069933; 662666924; 876366133; 510809332; 493132210; 203409221; 129140574; 900679549; 57718470; 526080210; 106172130; -1; 506199934; -1; 982187993; -1; 173927626; 962730456; -1; -1; 100566396; -1; -1; 439424358; 98812797; 203856936; 304962371; -1; 510111203; 273183862; 965266814; 179118968; 569014977; 554571339; 990248669; 541742869; -1; -1; 909922403; 95117343; 405242765; 687855762; 996566042; -1; 329020386; 862466927; 374848210; 825316673; 795892458; 928260509; 789225456; 909655003; 729274558; 228951959; 425716311; 935188805; 944338983; 952309080; 555140482; -1; 275329975; 495836779; 253339727; -1; -1; 549651518; 492300160; 306225089; 996644043; 936970515; -1; 755821722; -1; 942532495; 816984908; -1; 302127590; 435309868; 422864167; 825976159; 966150187; -1; -1; 834363529; 223691833; -1; 394708442; 596738362; 324159362; 828278460; 518318615; -1; 692467471; 927111309; -1; 155540428; 796346242; 591652990; 547446221; 807561176; -1; 905199082; 975516264; 387282676; -1; -1; 777575665; 845492877; 502192013; -1; 899098221; -1; 517653093; 541906600; -1; -1; 85458592; 236877186; 221665907; 944714787; -1; 138080040; 924106923; 449579334; 422569780; 872997045; -1; -1; -1; 911442121; 141503449; 520196312; 471256653; -1; 572751951; 825233181; 106274673; 125125539; 475031547; -1; 968023733; 568930305; 780693537; -1; 902412799; 962893821; -1; 190716710; 990969821; 527225204; 553987290; -1; 832228498; -1; 23102576; -1; 218160784; 792273616; -1; 820997551; 76748141; -1; 203054545; -1; 101240941; -1; 337971172; -1; 980557679; 582315249; 456911090; 977665843; -1; -1; -1; 125402285; 379017736; 783970834; 934621384; -1; 461890844; 856067849; -1; 253867335; 194778951; 55433210; 886854073; 380756349; 138636652; 98703972; 183483924; -1; -1; 39369773; 603563249; 925518670; 76423904; 921911185; 928809869; 599679515; 360714250; 693538605; 865867188; 908809609; 142592061; -1; -1; 743111038; 924359149; -1; 315629449; 395568376; 892928319; -1; 595378446; 156549582; -1; 656789612; -1; -1; 652726748; -1; -1; -1; -1; 901080689; 386929540; 498377740; 341001834; 101683244; 356757553; 390308531; 573298340; 637029140; 368828746; -1; 517115295; 793893408; -1; 596938029; -1; -1; 153617393; 596648282; 887160231; 46717417; 749929949; -1; 56781820; 531152659; -1; 169012752; -1; 537860668; 437412524; 866131086; -1; 908819407; 221666262; -1; -1; -1; 453747596; -1; -1; 872878856; 477441345; -1; -1; 649293429; -1; -1; -1; 273829717; 279035683; 454258404; 762353821; -1; 182390922; 930727284; 747327967; 513450118; 53398947; 407075478; 437944890; 387095408; -1; 718452836; 567988900; 748333822; 632956217; -1; -1; 656026744; -1; 629777709; 499622523; 87617505; -1; 434339317; 740537411; 857016936; 182825239; 892579484; 521939760; -1; -1; -1; 656131039; 424492800; -1; 824938065; -1; 585913637; -1; -1; 61172728; 953831888; 987409056; 149686729; 139759545; -1; -1; -1; 145302057; 385198817; 166750478; 847194447; 640352539; 611267732; 186990457; 125601506; 83389477; -1; 598456881; 897442358; 197078915; 75836947; 711092382; 934007667; 663398376; 503354055; -1; -1; 88855281; 628277735; -1; -1; 446544592; 977525178; -1; 455047066; -1; 533660825; 967024549; -1; 184759187; 97928404; -1; -1; -1; 709516531; -1; 586733504; 307403301; 822699207; -1; 933277139; 40088941; 438435781; 16509130; 343458317; -1; 148773360; -1; 324982614; -1; 9230122; -1; 301220140; 985889747; 694029826; -1; -1; 657539450; -1; 903072564; 629447549; 174429493; 133374049; -1; -1; 558887217; 398427522; 755721407; 466776946; 182532677; 576937472; 125277411; 738712656; 301997231; 969140934; 655203023; 107764469; 695129975; -1; -1; -1; 664287207; -1; 765467655; 974001612; 369201947; 228307194; 822126934; -1; -1; 730498125; 759066679; 261290983; -1; 270415951; 713753473; 24828819; 229744268; 283073432; -1; 374991518; -1; 56612134; 678244636; 545799958; 894951679; -1; 89789395; 772168007; 287229632; 199230020; 937750210; -1; 181558977; -1; 843749729; -1; 791806726; 599610733; 881868282; -1; 656017373; 298624267; 91844433; 767189233; 162410452; 636328329; 765582448; 586955034; 809605227; -1; 978265797; 878949256; -1; 582592680; -1; 783764931; -1; 139913510; 964665192; 961016005; -1; 695249622; 760041016; 492669120; 433311531; -1; 241925097; -1; 517680977; 510893633; 232637148; 511901303; 34097486; 971195771; -1; 790345424; 929917559; 373634416; 497916748; 390530179; 929767821; 670338808; 623746516; 99069756; 426763843; 606264797; 708978193; -1; 897126153; -1; 384514366; 305349816; 163618664; 444492753; 982098672; -1; 262565337; -1; -1; 757798569; -1; -1; 593019383; 525771842; 464005675; -1; -1; -1; -1; 299730723; 816659393; -1; -1; 952737870; 920201203; 57514639; 361240556; 618367217; 867187596; -1; 441330068; 200667032; -1; -1; -1; -1; 41657931; 191477411; 430159664; 501150592; 170769474; 819969856; 307869843; 296997063; -1; -1; 466774304; 970062758; -1; 64445748; 902269432; 643976563; 765701282; -1; 881701170; -1; 426870020; 150915239; 933679559; -1; -1; -1; 765218859; 813999822; 725054144; 861647133; -1; 462429960; 527626229; -1; 195249412; 870166724; 415225738; 982403924; 591373868; 622550905; 995257511; 947483941; 324270265; 940100827; 988505271; 721945022; 511424685; -1; 422154096; -1; 290934783; -1; 219666727; 368075123; 553743631; 927178437; -1; -1; 459815920; 642234657; 748351654; 206217533; 846045254; 701080291; 386326142; -1; 842037510; 583011791; -1; 654151593; 370414261; 940341047; 464417494; 325000051; 501778702; 583650535; 140991039; 404019641; 974965939; 717484712; 637902443; -1; 841061682; 236812640; 924334179; 592046989; 517142789; -1; 36238622; 986293419; 350231799; 521359598; 630551350; 585245632; 884266377; 46651821; 205467978; 826703926; 674370391; 500093766; 470666471; 486029381; -1; 244577; 196760275; 19766281; -1; 946345598; -1; -1; 775213755; 630710734; 173982779; 513379928; 194095223; 445891390; 788277125; 403123456; -1; -1; 922933745; 638820294; 276884161; 182246234; 500124042; 223551987; 960134387; 992193966; 988320425; 245460769; 789734307; -1; 400395810; -1; -1; 622593385; 953639753; -1; -1; 32301483; -1; 940530117; 681322790; 638884264; -1; -1; -1; 684159445; 170276678; 439774472; -1; -1; 75870663; 658942605; 98614550; 310700507; 758988444; -1; 360362340; -1; 104451006; -1; 65751586; 23622965; -1; 823603263; 787113155; -1; 33580893; 468837975; 916816212; 236301610; -1; 664474466; 392870020; 255585227; 752953297; 434047370; 515514680; -1; 208250856; 696481855; 939366603; 838154208; -1; 283880534; 77233825; 975005404; -1; 697092241; -1; -1; 749939044; 172278694; 80896855; 298210790; -1; 503643127; 926872895; -1; -1; 468295; 294536659; 707502348; -1; 693007624; -1; 814682466; 427095240; 513265666; 745276513; -1; 885497933; 23013695; 330852812; -1; -1; -1; 556601872; 516100689; -1; 818810806; -1; 608472368; 584082075; 914337325; 839283448; 727726123; 798500741; 359429543; 580062692; 118860006; 435529873; -1; -1; 846995599; 519210548; -1; 665661257; 237964020; 182203872; 700884165; 904974721; 128010669; -1; -1; 330289264; 396232824; 490471423; 500397340; -1; 643289225; 625679797; -1; 384119341; -1; -1; 290400035; 393118285; -1; 332700314; -1; 993876189; 807972375; -1; 686441108; -1; 654201723; 472092921; 673058458; -1; -1; 101002128; 950307535; -1; 331660188; 331790150; -1; 397014786; -1; -1; 355967273; 221109655; 603605494; -1; 40342711; 603871845; 162546146; 839338340; 863055242; -1; 848745565; -1; 90331763; -1; 236666456; -1; -1; 859998904; 795842606; 931178905; 880256154; -1; 96772289; 212887765; 293650094; 970824628; 90368619; 945265291; -1; -1; 195771256; 823318239; -1; -1; -1; 320429988; 52536762; -1; 724884844; 944361175; 769566859; -1; 628799133; 412678377; 826196478; 564845134; 721202711; 991983297; 172599696; 592908270; -1; -1; -1; 841651629; 804010480; -1; 456783923; 717970280; 649417815; -1; 505410750; 846625628; 249993227; 584549014; -1; 949351169; 469987239; 609647534; 88996767; 973688552; -1; -1; 317379318; 987901067; 920607336; 649487352; 455323920; 795224813; -1; 240189586; 430968373; -1; 857857691; 304232602; -1; 954494733; 560964689; 478464235; -1; 935707054; 860084404; -1; 3120988; 854083738; -1; 599091976; 921480308; 305602596; 269045178; 162860298; -1; -1; 802709548; -1; -1; 963075045; -1; -1; 493580191; 562767562; -1; 70504181; 887936146; 697345950; -1; -1; -1; 176194712; 991474706; 986740959; 915078294; 149781832; 416936039; 504444660; 179238102; -1; -1; -1; 241482137; 393020890; -1; -1; 919967423; -1; -1; 677896805; 819252777; 588623833; 755085619; 79156296; 884389063; 668493022; 89973009; 982613243; 458729869; -1; 529495072; 915980729; 875353963; 430190076; 485435931; -1; 286470715; 512497967; -1; 265759528; -1; 706244417; 737623824; 14570465; 324130167; 257369664; 631069585; 632048247; -1; 959550142; 717135596; -1; -1; 673495696; 205953477; -1; 406478858; -1; -1; 411143298; 969601908; 510045197; 313728065; -1; 901330392; 519479320; -1; -1; 397847306; 553777855; 900001187; 650666309; 906868974; -1; 59191568; 849964186; 315535328; 930577546; 486401185; -1; 625808938; 722300381; -1; -1; 317011642; -1; 461391724; -1; -1; -1; 612006022; 721713602; 554166113; 197128333; -1; 173429898; 650805925; 293887346; 349011741; -1; 283632540; 851777071; 811604370; 656259032; 274647498; 810584660; 825962966; 732651287; 276680129; 526659416; -1; 804805932; 564181864; -1; 864625848; 798819615; 501059458; 858931516; 193886683; 653120212; -1; 926959027; 61012015; 608570374; 636315231; -1; 574395493; 634952716; 867013438; 114420497; -1; -1; 201395720; 602044396; 637377698; -1; 46740479; 401617743; 53883736; 259373633; 909077811; -1; -1; 660580521; 674156927; 20102124; -1; 278301190; 341318175; 967882538; -1; -1; 39923134; 679242669; 726679994; -1; 625658707; 490000167; -1; 913416840; 39751454; 755441225; -1; -1; -1; 227359521; -1; -1; 715727728; 214308191; 157871019; 147256809; -1; 350879913; -1; 815266711; 736059493; 620661547; 536095351; 928917329; 699092585; 530181189; -1; -1; 823553949; 67376292; 407923045; 486121918; -1; 687825979; 834638274; -1; 815772988; 275122504; 823206599; -1; 580805997; -1; 881026216; 905906077; 785481640; 587827646; 328012551; 267555309; 597689784; -1; -1; 714640299; 300134754; -1; 855136820; 774539265; 980720710; 569597778; 623161568; -1; 796918387; -1; -1; 323258031; 109069260; -1; 535076148; 361625870; 43710127; 496188402; 586526361; 635478293; 68235913; 27178508; 692216687; 112055886; -1; -1; 163457731; 500257310; 140855733; 945883491; 780955145; -1; 57552354; 734351016; 87350054; 637207849; 320715067; 424831622; 31483759; 513384265; -1; -1; 987981588; 334300899; -1; -1; -1; 841272638; 446674086; -1; -1; 593962569; 279292865; 839845302; 834423673; 812404579; 522436303; -1; 293919439; 66503631; -1; -1; 629025756; 659371319; 864555307; 835672392; 611385098; 759701773; -1; 396730967; 18063395; 322161404; 545409398; 506327566; 5236428; 137393258; 434773256; -1; 186230381; 827871129; 270517787; 283313981; 670691669; 104624636; 799407642; 469298373; 75647105; 855597205; 630246483; -1; 112325943; 436921787; -1; -1; -1; 245283626; 513851382; 6324976; 833537362; 106106348; 411746175; 348818697; -1; 925298001; 961141383; 9202559; -1; 500387416; 17618324; 5214600; -1; -1; 392448808; 671505957; -1; 357647843; -1; 255587992; -1; -1; 680714041; 879054216; -1; 914660239; 694842749; 733483963; 978934286; 336535460; 562449578; 671625035; 82237827; 125068452; 507382490; -1; -1; 456706046; 442630122; 82268594; 929125398; -1; -1; 150693928; 288408232; -1; 768282036; 523314045; -1; 605582440; 473166765; 423023989; 97871380; -1; -1; 187736391; -1; 497784843; -1; 454235194; -1; 695969534; 6423826; -1; 331516758; -1; 747918595; 489897764; 997839068; -1; 170886778; -1; 77505348; 155349301; -1; 649896376; 611538067; 287665203; 313665969; 807640559; 38395806; 229186370; 979884688; 678804474; 188463683; 995916193; 594405958; 384813080; 568310860; -1; -1; -1; -1; -1; 696124819; 23781576; 638746173; 567765273; 405369974; 573420632; 725361622; 668157688; 172453758; 495107039; 476701674; -1; 79075969; -1; 854416854; 542741301; 572094115; -1; -1; -1; 881224113; 895410397; -1; 10448281; -1; 657188373; 602013540; 959878324; -1; -1; -1; 458647831; 343608008; -1; 664769492; 72619316; 974637995; 56273224; -1; 15603101; -1; 95176902; -1; 47761642; -1; -1; 602072494; -1; 734945863; 703282597; -1; 636040130; -1; 744587165; -1; 261355548; -1; 667818458; 468469712; 809259210; -1; -1; -1; 795375677; 634317284; 975646459; 458501411; 4799485; 232656741; 818632832; 240069815; -1; 107308367; 180403359; 983040506; -1; 313042667; 417871494; -1; -1; -1; 297827891; 455930334; 701525771; 939435418; -1; 831973818; 303282985; 986200845; 731160548; -1; 31701897; -1; -1; -1; 516077120; -1; 133926794; 769785302; -1; -1; 812884683; 930401452; 602229363; 630245148; 691637838; 484451233; -1; -1; 691970236; 969158697; 387226898; 247884506; 556714073; 667422119; 409582612; 215019396; -1; 4905547; -1; 931720696; 282050057; 835842981; 618536412; -1; 456438253; -1; 444783421; 41027984; 211901630; -1; 42822139; 65838385; -1; 789874494; 711677971; 652333890; 788105364; -1; 859194490; 5132023; -1; -1; 70136837; 299191195; 748796687; 392127719; 681327356; 424761949; -1; 279899568; -1; 698094283; 970682731; -1; -1; -1; 931403500; 405915845; 330754191; 190424579; 700703499; 128518505; 489602971; 631756819; 163786; 294229353; 563810155; 844528085; 898900454; 625058219; -1; 461868257; -1; -1; 231027092; 59786592; 533891186; 688014431; 635033388; 514140792; 193867357; 280555079; 519164858; 272839863; 282664334; 635089321; 317581214; 602844551; 922992739; 847943722; 505944550; 288018524; 758002012; -1; -1; -1; -1; -1; 798749611; 704669410; 384103992; 357809035; 426254035; -1; 629792393; 387482173; -1; 737664016; -1; 577427254; 958093859; 392269873; -1; 145946291; 549249760; 808730901; 775557254; 446727570; 781600000; -1; 435495681; 161000106; 846674157; 480664261; -1; -1; 778372394; -1; 321853550; 161120103; 28068112; 168856052; -1; 868442238; 930852167; -1; 894376611; 670598175; -1; -1; -1; 698898584; -1; -1; -1; 166451776; 182114351; 333576493; 475145335; 344902201; 463199322; 888790555; 52513177; 438029490; 366460637; 396613803; 247174461; 693659036; 545290901; 303852320; 908274535; 46737798; 648010964; 227986336; 908046250; -1; -1; -1; 19425477; 102117718; 225957106; 193214937; 288214229; 59987791; -1; 975152646; -1; 173208188; -1; 568986744; 638096037; 841623533; -1; 111477617; 197186268; -1; 725860466; -1; 995455139; -1; 565217235; -1; 265552802; -1; 375444478; 379903450; -1; 103573568; 542523060; 912558493; 970533737; 820998441; 198893227; 183361764; 251833607; 148818642; 75453919; -1; 308647239; -1; 31003437; 806456593; 305992548; 833945933; 835089886; 78281907; 105308761; 336170352; 189531547; -1; 33543219; -1; -1; 720248986; 587253702; 411552612; 934461084; 33601314; -1; 937343515; 989689559; 591161377; 384123958; 845005664; 799554803; 319236095; -1; 792322148; 778261311; 694175316; 249725576; -1; 243844524; 497630026; 38757499; 250167998; 628333061; 869742575; 997645302; -1; -1; 1330257; 516130048; 968725914; 30962386; 330930353; 630596538; 175035835; 926573207; 372572903; 543805178; -1; 266200660; 62676137; -1; 308096360; 904462414; -1; 149830029; 601312864; 429879312; -1; -1; -1; 862308861; 627617389; 621150992; 650418275; -1; 648006139; 152851606; 336517049; -1; -1; 307137298; 881006225; 54166528; 689596030; -1; 86923971; 832615028; -1; 312639275; 551712148; 973442634; 594188516; -1; 813260331; 607029719; 239593694; -1; 242295761; 913554066; 122745233; 708781436; 125600411; 374520969; -1; 283745315; -1; 76215892; 339796569; 774148316; -1; -1; 442395594; -1; -1; -1; 780703837; 791778806; 505257251; -1; -1; 697004774; 292292347; 639034327; -1; -1; -1; 586090361; 23753071; 9260740; 566021481; -1; 19665825; -1; 327932029; 704376092; 457548233; 243424208; -1; 848408814; -1; 663155462; 719192585; 338544679; 878804971; 55754703; 293067676; 821670669; -1; -1; 102306039; 17468664; 101092097; 285480030; 986990794; 185246327; -1; 327910890; -1; -1; 221058456; 512501683; 664589986; 283007816; -1; 575969063; 391838273; 841772165; 824836712; -1; -1; 236108773; 470042945; -1; 899780888; 564516558; 244199523; -1; -1; -1; -1; 865604217; -1; -1; 972339545; 254897622; 477380513; 82468367; -1; 114923716; 56656255; 398734244; -1; 522290893; -1; -1; 256659391; -1; 873733473; 518444958; 65934169; 215061890; 910806882; -1; -1; 623277025; 825779381; 820263209; -1; 342588486; 31709194; 170165927; 195025539; -1; -1; -1; 250527619; 271790963; -1; 70770179; -1; 609817697; 484275255; 882873404; -1; 708357927; 137331760; 413879527; 873813682; 79471692; 57942600; -1; -1; 120448889; 244615404; 868304118; 963566570; -1; -1; 597793139; 279171711; 301272365; -1; 170070608; 490854628; -1; 630714411; 93639695; -1; -1; -1; -1; 389956458; -1; 844352877; 661782097; -1; 221563429; 476993029; 261594900; -1; 463509579; 427797076; 418246567; -1; 355320526; -1; 403971837; -1; -1; 989668061; 858083129; 410112696; 316953053; 517309020; -1; 530119943; -1; 596570343; -1; -1; 500252405; 203550072; 993405802; -1; 405702977; 776788823; 867490489; -1; -1; -1; -1; -1; -1; 842182617; 269920671; -1; 997625768; 452141335; 142034843; -1; 857027563; 514298967; 723361403; 777555774; -1; 312520708; 248713831; 982390783; 847643899; 623620580; 116512521; -1; -1; -1; 212855231; -1; -1; -1; 596993373; 699795380; -1; 368234123; -1; 634400198; 543324207; 482819565; -1; 134890606; -1; 786519322; 373641630; 735298117; 242210751; -1; 397403593; 489521981; 445528489; 199797811; 881907000; 731144599; 678951149; -1; 740420391; 409234635; 673304168; -1; 334894452; -1; -1; 617140042; -1; 150772916; 733780994; 699673791; 675143833; -1; 542400763; 532430900; 782679516; 81840830; -1; 76410263; 565051749; 867081225; 540661438; 311137553; 984933152; 272505810; 391512478; 213688381; -1; 232541632; 759130434; 885546771; -1; 576070307; 745979485; 756059275; 751974456; 451104657; -1; -1; -1; 431736730; -1; 748106116; 330996500; 295494612; 914198045; 562222399; 396352365; 287687278; 895717439; -1; -1; 416267953; 389848673; -1; -1; -1; -1; -1; 755094526; 487198761; 763212098; -1; 456628809; 599168034; -1; 256586626; 611379012; 34742882; 600740520; 387066009; 766461603; 224452915; 967960343; 339286143; 206926889; 758859152; 737835920; -1; -1; -1; -1; 6338731; -1; 548595087; 176721103; 364887978; 795928880; 570540924; 885952701; 344347717; 597513337; -1; 477941003; 835275931; -1; 654341849; 35438321; 453430072; 545592171; 387187157; -1; 156459625; 638271577; 979249714; 942084398; 692080402; -1; -1; 794646860; -1; 608135080; 341193518; -1; 531701375; 290610092; -1; -1; 695251628; 347857035; -1; -1; 368985982; -1; 519451842; 678107611; 176876842; 94188633; -1; 999333234; 58174847; 677745220; -1; 431290121; 366224685; 229030337; -1; 315326830; -1; 576052823; -1; 537117692; -1; 53762447; 744974759; -1; 352356370; 276326353; 981799563; 453165502; -1; 152067812; 775881578; -1; -1; 823970437; 38562661; -1; -1; 32629757; 176051426; 407188849; 722652339; -1; 165840038; 91795352; -1; -1; 363239777; -1; -1; 188884068; 773817173; -1; 624813050; 390258972; -1; 842605719; 887855307; 109092585; 875046515; 781843350; 994586430; 589735313; 512598762; 894712415; 558451102; 45211858; 198402; 169487965; 593267357; -1; 996435328; -1; -1; 340453514; 760050196; -1; -1; -1; 201231946; 808051964; 372764800; 205912735; -1; -1; 534483692; 226495768; 999513915; -1; 82144683; 375994365; 202128714; 928828875; 63016369; 698903434; -1; 984850069; -1; -1; 942486165; 31509144; 730515183; -1; 730786833; 436861253; -1; -1; 562077236; 530719672; 478675402; -1; -1; 448310409; -1; -1; -1; 490184902; 796294522; 185183516; -1; -1; 396462177; 676608440; 665832211; -1; -1; 361076033; -1; 662336980; 525295326; 599979732; 510528802; 804820061; -1; 905535405; 430521183; 187901921; 805067377; -1; -1; -1; -1; 421245992; 629857673; -1; 295727520; 81090080; 319181630; 703513271; 214326185; 531052770; 956058320; 693697091; 13503107; -1; -1; 40555541; -1; 853281963; 139092905; 890829294; -1; 646650810; 147419965; 900522160; 367651337; 116130614; 757452160; -1; 194396820; 160306037; -1; 804426582; 326187943; -1; 174668788; 939738915; 730525930; 386219195; 738658632; 515321021; 951025138; -1; 737603301; 495970698; 44593315; -1; -1; 618740004; 511453095; 515837063; 640793882; 418466112; 377802593; 729175120; 654442475; 965911598; 876528616; -1; -1; 792945378; 842348669; -1; 863175003; -1; 544563364; 39576787; 641480525; -1; 324062719; -1; 792391327; -1; 788919776; 309023229; 12862415; 475474512; 441960554; 651106371; 861794580; 590604795; 457777035; 998990059; 735566661; -1; 424918079; 904181529; 930733139; -1; 601432964; 655501117; 839342242; 911997193; 508361451; -1; -1; 437959019; 521805432; 334766348; 479724557; 355079219; 712652450; 209818567; 2038110; 927075611; -1; 598970943; -1; -1; 841762814; 948064721; 648433619; 577257128; 535650856; 94803579; 711105002; -1; 197591640; -1; -1; -1; 38446715; 533521953; 290238364; 401064548; 417112665; -1; 683535918; -1; 127158681; -1; 351393753; 281207615; 165302449; 686742170; -1; 414605451; -1; 991276879; -1; 561053301; 488812248; -1; 946851252; 639555800; 959630080; 645862340; 932211611; 804456665; 316627366; 244154899; 335892272; -1; 101554373; -1; 199502301; 790274562; 79788135; 501446361; 342692087; 152837676; 436106395; -1; 289070176; -1; -1; 289891506; 201354049; -1; -1; 654964281; 744822546; 795612321; 834645636; 192706537; -1; 312960320; 538951299; 146121005; 760903034; 129746169; -1; 116821579; 50857060; 76261142; -1; 569317297; 783871613; 823927234; 427911993; 255530734; 4368165; -1; 198134383; 634019323; 208458893; 556895912; 395967078; -1; 195197766; 236607295; 183194191; -1; 518801121; 692532935; 301938941; -1; -1; -1; 315681367; 104647044; -1; 249771057; 383429849; 645079995; 900111680; 981671911; 319702035; -1; 254020652; 328600402; 538833750; 692371610; -1; -1; 215326623; 632078761; 907954254; -1; 72031068; -1; 115340886; 484544970; 382742309; 694259393; 88658614; 400044863; 813767698; 917655277; 922987164; -1; 144731519; 633079288; 892962713; 759805453; 300759167; -1; 321415091; -1; 400341839; -1; 46847071; 8496661; 84240738; 826539235; 239370505; 101748413; 9590983; 70125038; 579144537; -1; 693907781; 274360608; -1; 142566711; 337961404; 846089836; -1; -1; 35291018; -1; -1; -1; -1; 356561968; 398887334; 121769777; -1; -1; 828674047; -1; 104630761; -1; 960391318; -1; 489023456; 711085735; 491734619; -1; 964912535; 283356877; -1; -1; 566682696; 875995280; 258139089; 472158788; 249588325; -1; -1; -1; -1; -1; -1; -1; 241104238; 732347569; -1; -1; 165344225; -1; 674012205; -1; 964611922; 436729593; -1; 183985873; -1; 290668204; 681124360; 866741989; -1; 559043916; -1; 464434963; -1; -1; 466000556; -1; -1; 40527417; -1; -1; 422810128; 689618691; -1; 747758229; -1; 913649949; 512983184; 795371693; 843618054; 106341746; 542602098; -1; 812226312; -1; 259342994; 297591370; 731271106; 733743243; 23644; 147854921; -1; 532675736; 655680300; -1; 954774072; 635825047; 700465070; 960875215; 346435245; -1; 876154032; -1; 936865745; 386646804; -1; 648841474; 528203386; 888046148; 984045299; -1; -1; -1; 411419415; 221428250; 820228624; 370452754; 59323456; 750464447; -1; -1; 883622778; 497915679; -1; 385821743; 480543743; 747225273; 892842709; 676163208; -1; 866582815; 118061950; -1; -1; 137553114; 582537845; -1; 839209487; -1; 729874104; 637452144; 348628874; 893367900; -1; -1; 378755612; 980556232; 376784093; 610259164; 561998128; 245021692; 453249376; 203867451; 286868592; -1; 691093983; -1; 850396248; 773008200; 842347750; 955616667; 288248678; -1; 139782188; 527921012; 427512540; 926191224; 730876481; -1; 772071609; -1; -1; 238923093; 605677027; -1; -1; 311193014; 862986886; 503432326; 901861293; -1; 711837824; 514782490; -1; -1; 750741649; -1; -1; 485491663; 315855565; -1; 879669800; -1; 526256227; -1; -1; 807482057; 876626013; 321167902; 274836740; 625498000; -1; 24346081; 47091417; -1; 327156775; 233957030; 439301085; 267785003; 987698883; 60783581; 331287948; 314294438; 391359533; 602052723; 22915329; 152066638; 806024885; 465784883; -1; 83143368; 98775956; -1; 239651577; -1; -1; 65645516; 724210027; 942630774; -1; 867809895; 135073539; -1; 470191677; 325506791; 865325498; 547442936; 334568625; 73187132; 194191173; 757540735; 88096854; 617124338; -1; 360609393; 793419955; -1; 179501080; 522147245; 40495712; 774874779; 871096704; 815543626; -1; 43859039; -1; -1; 401192297; 394035035; 904420947; 54040335; 125647376; -1; 534912417; 44166511; -1; -1; -1; 306817764; 242313087; -1; 599179085; 656623792; 728446803; 94512636; 897453758; 950350140; 371005024; 907742899; 953654051; -1; 892162083; 388088527; -1; -1; 822334122; 40672378; -1; 387993028; 847857595; 634669033; 581178355; -1; 673947961; 560935999; -1; 598190187; 924291682; 295524853; 907837110; 682730500; 360479513; 867702946; 310774108; -1; -1; 169785339; 889897632; 21796555; 183758205; 399580419; 140272208; 336123970; 482533540; 505075061; 321061926; 465926815; 591561419; 867561846; 374326611; 863802290; 741253010; -1; 677435521; 242159213; -1; 185672837; 433094046; 805120592; 465414141; 972538746; -1; 341152800; 310259077; -1; 589116192; 628302494; -1; 361986943; 707756552; 900876547; -1; -1; 433773799; 347654248; 86572350; 803628335; -1; -1; -1; 640637285; 85434015; -1; 84789746; 363823760; 593180844; -1; -1; -1; 804466907; 452999091; 630902482; 796405190; 52228223; -1; 795983580; -1; 440812459; 323556947; -1; 634393089; 552080506; 276941958; -1; 949812538; 731894889; -1; 273570227; 100966023; 586873409; 108069572; -1; 252859067; -1; -1; -1; -1; -1; 612826394; -1; -1; 819358518; 836674935; 729036542; -1; 566379235; 257061889; -1; -1; -1; -1; 768038216; 374451238; 5412661; 426415419; 986799075; 557917709; 35917056; 376159333; -1; 832421023; 339579265; 580656315; 61273053; 725885070; 923228227; -1; 522866236; 666036930; 790430551; 456676505; 956048336; 654702662; 10760205; -1; 450367979; 561378234; 975167654; -1; 35558410; 769957440; 111310408; -1; -1; 790985304; 395268292; 528752744; 802102327; 238013043; 118041757; 46859001; -1; -1; 103919913; -1; 785385811; 832885357; 623291495; 506941425; 773240751; 56208269; 558953694; 837711115; -1; 430618236; 61622489; 764068945; 394297184; 362933170; -1; 863640605; 116004914; 227792075; -1; 617659155; 358406602; 939065520; -1; 801978023; 934691354; -1; 722360366; -1; 278485237; 337710834; -1; 684249050; 715981454; -1; -1; 211915887; 450847219; -1; 476426749; 581666333; -1; 254592114; -1; -1; -1; 269459015; 338834685; 144394212; 89908876; -1; 879984733; 611485208; -1; 503948422; 579501485; 488341873; -1; 372201831; 479178165; -1; 394621148; 138492833; 180628165; 252664367; 53895041; 904543268; 480353743; 802019405; -1; 438167343; 809179939; -1; 355281426; -1; 942092816; 323891852; 411724067; -1; 936924030; 421508414; -1; 25066265; 876594120; -1; 491477387; -1; 484836237; 707582384; 882928388; 943594344; 71594764; 196930962; -1; -1; 797499019; 354684130; 702120790; -1; 713813154; 349724875; 802006196; -1; 600525520; 919517667; -1; 892038201; 110943731; 488053899; 527860024; 174802600; 998751650; 577379267; 564546460; 790184915; 973152922; 111361789; 457162107; 849588000; -1; -1; 198024753; 695446693; -1; 436544697; 217062895; 850196644; -1; 411562131; 867525598; -1; 968010425; 473550290; 248945327; 77550544; -1; -1; -1; -1; 949685558; 660148441; 356073312; 539369282; 919126940; 303338724; 767801347; 248197302; -1; -1; 386459432; 623404729; 248410815; 614440746; 158794840; 136702498; 357613133; 666583253; 573962316; 649087468; 737969019; 699215934; 935417797; -1; 497385157; 193117939; 764825700; 900507868; 128961997; 740367924; 109586903; 518099849; 490704849; 66981658; -1; 136025411; 621374799; -1; 974545198; 232276512; -1; 209184200; 913300371; -1; -1; 244691950; 910393497; 465309921; 539832490; -1; 410644396; 563913996; 840464301; 526160871; 724520842; 203475852; -1; 439292414; -1; -1; 225825452; -1; 254402801; 855424152; 148992176; 636265409; -1; -1; 184237181; 212350562; 457495841; 897400777; 213434932; 942533515; -1; 405512338; -1; -1; 471301701; 288916985; 21970625; 234929281; 568646247; -1; -1; 177427414; 276624301; 55042815; 21071839; 327087841; 728522113; -1; 422356488; 200089221; 708621631; 504348064; 997743462; -1; 678441548; 941966895; 607764212; -1; -1; 264207547; 909490502; 596607958; 732182625; 145378187; 332726571; -1; 858691515; 789408586; 49069863; 228448087; 222692325; 28080285; -1; 977824190; -1; 37857361; 131507007; 422775311; 347795059; 879007354; 979922502; -1; 426570437; -1; 820704067; 266852532; 417188113; 826216339; 622664257; 709190492; -1; 858678181; 624743; -1; 666878167; -1; -1; 135360660; -1; 256895764; 575572390; 898591713; 15640964; 838314826; 300777570; -1; -1; 918316267; 53092608; 320582287; 894835756; 781542235; 196280471; 785411896; 858396806; -1; 62665774; 68028329; 531240389; 168824306; 198649819; 904242045; -1; -1; 932029818; -1; 77506490; -1; 482179827; 398027207; -1; 15898903; 803611727; 6707979; 823260811; 961110820; -1; -1; 575702579; 402804708; 89850193; -1; 473500491; 165795773; 57123637; 544790796; 516747618; 275754132; 964968636; 904818146; -1; 162108436; 393579104; 93173585; 448460309; 476558179; -1; 589762990; 949564725; 629779673; -1; -1; -1; -1; -1; 479850478; 913012655; 526849737; -1; 203029445; 333519825; 304264843; -1; 281798480; 646911544; 10556789; -1; -1; -1; -1; -1; 643052305; -1; -1; 729396402; -1; 854589925; 56313062; 422025502; 288436712; 880079414; 342227016; -1; 177871898; 49399435; 180481570; 376725831; 648049261; 77380674; 106800273; 271646180; 985787423; 97817590; -1; 542000069; -1; 242542345; 172320753; 693387989; 791780606; -1; 218059580; 520532450; -1; 291219204; 347628132; 628751842; 388516311; 401952770; -1; 285585878; 481253583; 140923131; 117836312; 838097729; -1; 307908042; 778055878; -1; 84241136; 898540903; 939114548; -1; 156282142; 393345884; 957267704; 17616680; 414545750; 774777813; 26539175; 603254809; -1; -1; 687897371; 81370075; 326826837; 614433001; 963913615; -1; 116586098; -1; 750852010; 632184016; -1; 859495276; 925865214; 319687811; 392622212; 139270706; 738948256; -1; -1; 351202233; -1; -1; 940403211; 640895043; -1; 235377839; 591907056; 605898297; 293465623; -1; 194037004; 725199082; -1; 518867690; 961490949; 863648188; 70621323; 832689479; -1; 445865595; -1; 329704873; -1; -1; 899931153; 312033563; -1; 515673561; -1; 425772739; 9563455; 912872751; 543446051; 983605466; 835844190; -1; 749705880; 627571102; 480159482; 100112904; 263836513; 751987279; -1; 879726184; 133681604; 186440680; -1; 12685404; 514496004; -1; 635076459; 425456313; 345189859; 289496039; 188149341; -1; -1; -1; 149642891; 137011426; 880161593; 911509834; 682810318; -1; 757653921; 654636101; -1; 67577618; -1; -1; 780803491; 66896719; 977035320; 297203493; -1; -1; 754942276; 456764433; 48620275; 230623603; 700937482; 163397159; 914964665; 331046891; 569692341; 951700757; 951615793; 63081212; 999287452; 88738698; -1; 634337174; 278344138; -1; 107147525; 49198032; -1; 33038476; -1; 654524986; -1; 816594919; 52287600; -1; -1; 838000451; -1; 935002093; -1; -1; 898809998; 924061597; 777874493; -1; 254006570; 514719448; 441115501; 500723765; 725602720; 705176788; 971667768; -1; 599339987; 439463899; -1; 731787661; 671364119; 204318700; -1; 142419372; 483293125; 268604242; 433487506; 68586068; -1; -1; -1; 699081664; 76126192; -1; 712247831; 301963888; -1; 908029478; 871092605; 681154450; 709326554; 20784561; 425988879; -1; 559768194; 120332156; 122667161; 762796231; -1; 88764895; 453331122; 264753214; -1; -1; 420802632; 382661732; 533048103; 581915572; 101849424; -1; -1; -1; 591194409; 396747862; 967239859; 406567019; 112220200; 81774626; -1; -1; -1; -1; 726873888; 849298467; 150212394; 291809095; 621511471; -1; 338359929; -1; 758660873; 604867294; -1; 117082588; 212442073; -1; -1; -1; 197669126; 473659577; 53135920; -1; 546538416; -1; 587563014; 246059382; -1; 849558697; 271391193; 133625887; 166139849; 425566602; 216520392; -1; 935205328; -1; 816686218; 371503458; 154529316; 434393487; 584354844; 946089934; 341446998; 125127936; 130404230; 57647311; -1; 963280496; 375942489; 388548657; 776010600; 500134727; 918358743; 882586494; -1; 423013403; 888561988; -1; 358800763; 891710157; -1; 164113352; 857746475; 223242469; 465861622; 181144237; 400460923; 295242709; 939791983; 523404437; -1; 590596098; -1; 185486218; 387888317; 727461389; 507736321; -1; 475191634; -1; 117188980; 395361163; 639247097; 83233642; 314126482; 716265630; -1; 929843813; -1; 362303357; -1; 770756519; 831287469; 255003009; 624458598; -1; 655848818; 843715350; 480288741; 203687952; 899702065; -1; -1; 296331882; -1; 517931908; 26859484; -1; -1; 140970359; -1; 556077441; 247884078; 249817642; 768419399; 829431130; -1; 763840959; 840057161; 723674519; -1; 475280393; 129657196; -1; -1; -1; 894523276; -1; 279772948; -1; 206246149; -1; -1; 275969567; 553958906; -1; 844415163; 485683637; 820124098; 384656204; 283718850; 450471770; -1; 221655848; 12344972; 416851483; 481649799; -1; 783957687; 619871772; 984108332; 806259284; 780839409; -1; -1; -1; 88614493; 626568852; -1; 410451190; 424229403; -1; -1; 654541706; 728169352; 799623597; 627558080; 121403242; -1; 673179705; 850168341; 622295265; 876298902; 357948951; 932607186; -1; 977525305; 961377965; 482155801; -1; 811171696; -1; 7889341; 209652825; -1; 514135968; -1; 914448871; 886777544; 83501411; 433039151; 355747042; -1; 303950664; -1; 96310778; 341055013; 55760501; 920173577; -1; 220500863; 674307770; -1; 709352341; -1; 639281269; 448459812; 638052983; 473063797; 401506580; 936518732; 938767473; 535648585; 308491152; -1; -1; 835882573; 575057243; 627014378; 171450584; 222552392; 830654350; 575895118; 977521131; -1; -1; 640397444; 776252520; 631507127; -1; 527568361; 408485406; 659488188; 867805127; -1; -1; 476134528; 567549091; 836347038; 134141955; -1; -1; 663002601; 289579928; -1; -1; -1; 421652344; -1; -1; 384173386; 612673126; 469942514; -1; -1; 307971700; 310768680; -1; 191871849; -1; 119351425; 236984327; 505307739; -1; -1; 287326470; 764373851; 468257315; 267356844; 672014336; 494398323; -1; 91832733; 49606272; -1; -1; -1; 282222611; 993076652; -1; 649403512; 201352483; 234048983; 499111866; 764673019; -1; -1; -1; 319470055; 260955164; 253076644; 460158753; 441306119; -1; -1; -1; 714855029; 688014464; 339247719; -1; -1; 389143342; 78164552; 768471865; 503184397; 276109706; 369624182; 862441102; 50837840; 976570330; -1; 773468773; 679440816; -1; 771615689; 843000770; 652142452; 701580313; 699665435; 498758790; -1; 479029043; -1; 143781211; 116827800; 133128197; -1; 781037971; 245047739; 742905781; 966570090; -1; 171279463; 908208262; 866027220; 742988042; 98993584; 905177613; 225637656; 846044931; -1; 814101352; -1; 612499976; -1; 243632588; -1; 155125932; -1; -1; -1; 247056350; 581445508; 379022127; -1; -1; 719889860; 41065546; 909052787; 693034491; 819771782; -1; 179484409; 521190060; 523655708; -1; 575528140; 991183030; 289515191; 949353557; 424480233; 465859331; -1; 459199229; -1; 643166916; 738037557; 733171714; 223908262; 44209782; 914969608; 518843494; 901661736; -1; 903210697; 478742673; -1; 765327218; 663928684; 239052615; 10306791; 362042531; 66893036; -1; -1; 910154418; 321443166; 301039139; 702777182; 857217623; -1; 392125900; -1; -1; 650456342; 30276411; 883777547; -1; -1; 495443028; 314281890; 735165995; 811936419; -1; 553248955; 975144461; -1; 249510215; -1; 241726745; -1; -1; 847403075; -1; 887287603; 728611895; 661459087; 711193455; 869879359; 828429281; -1; 185475314; 539421654; 173276362; -1; 133413790; 819553952; 779420186; 714334664; 379755819; -1; -1; -1; 86235566; 478601525; -1; -1; 17352346; 915531144; -1; -1; 832434033; 781344060; -1; 144333908; -1; -1; 869240696; -1; -1; 545885242; -1; 307843445; 801344770; -1; 231465799; -1; 251082174; -1; 694066511; 871619556; 396783213; 301632421; 296419690; 843462608; -1; 137284311; 24269781; 946150774; 641436695; 904777782; 850479355; 257929908; 989501192; 213299805; 604661723; 646163511; 608941577; 509548724; -1; -1; 605705073; 470821467; 656347781; -1; 567342088; 217078574; 232433011; -1; -1; 224051717; -1; -1; 86439402; 656897930; 131789026; -1; 705341978; -1; 361074251; 396772574; 747620405; 953641567; 814204905; -1; 245013355; 699968085; 908004129; 269118487; -1; 694133036; 313670615; 685452232; -1; -1; -1; -1; 648246590; -1; 739138001; 112845293; -1; -1; -1; 697237907; 674456611; 231812777; 477741696; -1; 308298927; 132620568; -1; 663279205; -1; 986496790; -1; 369831584; 79452801; 509906505; -1; 670703999; 481668901; 537977153; 734037755; 387418656; 956738921; 500262859; 193705753; -1; 168898728; 201366806; 494778761; 793362863; 621146798; 444108168; -1; 608202711; 294365537; 518576606; 200781991; 347834707; -1; 444383586; 540898251; 39265802; 199253002; -1; 505559012; 854649933; 740920491; -1; 633270145; -1; 337083120; -1; -1; 903916214; -1; 715119746; 333461513; 661085239; 939524019; 129748914; 308554178; 939522344; 934863619; 750926560; 766195280; 98630306; -1; -1; 165591683; 421375438; 925462241; 578717906; -1; 36453791; 178034098; 28957510; 89315042; 934951612; 465950411; -1; -1; 280156685; 358369513; 148930651; 809566431; 822088382; 385174649; 101428737; 419060528; 911312347; 513679290; -1; 858938338; -1; 537196179; 650671385; 765674959; 394944803; -1; 211033218; 312984571; 396472216; -1; 734871118; -1; 981872271; 942844868; -1; -1; 578748165; -1; -1; -1; 12461406; 552413639; -1; -1; 339035368; 26128626; -1; 449336101; 452743061; 693517094; 226286977; 808197758; 456860375; 554001297; 694560423; 116554008; -1; 670951773; -1; 487153969; 98568561; 770746372; 219462231; -1; 677598755; 13576787; -1; 129271555; 792459238; 785513578; 898418014; 811323633; 831322484; 360925999; 148943151; 665624978; 289170900; 837384369; 815079378; 637577901; 825394818; -1; -1; 409941681; 698016861; 262578762; -1; 169520659; 940663813; 663969470; 632720294; -1; 33550343; 985922134; 971418239; -1; -1; 547494932; -1; 989243716; 940143726; 766179200; 614782883; 791967750; 782476721; -1; 219361320; 999535128; 273602302; 570854076; 949152912; 67680304; 259245561; 804612023; -1; 29909587; -1; 417424492; 418581425; -1; -1; 351256484; 168671302; 756366145; 120219566; 553963847; 623523437; 116438010; 235572390; -1; 865786483; 147747882; -1; 868251115; -1; 588109438; 608536097; 340941404; 789958368; 310794036; 786348261; 198774675; 890153609; 405418792; 891414454; 84979597; 136097823; -1; 592344825; 696784456; -1; -1; 734155188; 755510816; 665177460; 862332252; -1; -1; -1; 194246700; 767650210; 356570349; 584811325; 514150152; 441496082; -1; 675753693; 535729822; 640409916; 587641974; 448451528; -1; 374994788; 184468834; 301107786; 539226550; 413988168; -1; 179269065; 817500312; -1; 480776828; 715217689; 188871980; -1; -1; 727439151; 172126659; 830023987; 867900452; -1; 746746484; -1; -1; 943716468; 550226812; 488154696; 323679226; -1; 612490129; 635603690; 129884821; 934527711; 994654675; 966748644; 965851641; 601185357; 979874152; 266438336; 260952112; 170809138; -1; 946943702; -1; 409830176; -1; -1; 863425100; 589382790; 93952089; 414479099; -1; 902498520; -1; 400871859; 292896779; -1; 51703190; -1; 962223489; 497987704; 141196192; 6241655; 817072364; 142877378; 756324410; 810399536; -1; 968676178; 546527781; -1; 182442061; 304789812; 432194434; 2394529; 978228294; 979385179; -1; -1; 122174315; 90534318; 82087327; -1; 618654652; 350641550; 706609635; 574738722; 675025109; 205723387; -1; 316731514; 556417869; 490481907; 693330020; 906553334; 336621256; -1; 661421333; 585197305; -1; -1; 871991695; 880488060; -1; 395938164; 57963520; 504375213; 81549658; -1; 514861925; -1; -1; -1; -1; 5365760; 643991966; -1; -1; 26452212; -1; -1; 745259155; 187207826; 299526451; -1; 305690617; 338850571; 559062177; -1; 211911895; -1; -1; 465082003; -1; 99944615; 754952756; 478073214; 603017865; 461747316; 500319066; 320433196; 607062856; 286730880; 750162456; 307119723; 899652590; 155377894; 746025336; 890376033; 208734512; 951688166; 423372254; 233097967; 32700543; -1; 879422177; 911415408; -1; 261638768; 724865037; -1; -1; -1; 105939843; -1; 798562185; -1; -1; 92136924; 376561799; -1; 953110046; 118176665; -1; 431588863; 281338122; 158373073; 815876656; 152568387; -1; 200806471; 218450035; 888643062; 132240136; 683761963; 551073522; 93560110; -1; 355182347; -1; 3896084; 253578585; 252494775; 977613308; 808049145; 989492935; -1; 325972748; 490927456; 8713748; 355503901; -1; -1; 266618092; 273932783; -1; 197577118; 610572708; 944620767; 963098658; -1; 976522421; 444970568; -1; -1; 550557586; 365139751; 756433899; 707095938; -1; 603074611; -1; 186911580; -1; 403869482; 742437495; 733547210; -1; 617598814; 478985934; 581429014; -1; -1; 698635304; 133298877; 320571389; 974768664; 438100127; 912896881; 791428730; 885972370; -1; -1; 525777078; -1; 704489022; 10131480; 779625130; 308641450; 643268896; -1; 501921363; 746560034; -1; 682390133; 656407214; 660289090; 584318354; 143611829; -1; 122122236; -1; 10769827; 834554650; 108345914; -1; 817477308; 604104886; 863196802; -1; 141452282; 457006445; 778901275; 390286608; -1; 905526175; 260866077; -1; -1; 442178643; -1; 912468650; -1; 789016176; -1; -1; 307374782; 879515128; -1; 963657992; 189735129; 429440536; -1; 231575465; 626054003; -1; 949165813; 433758075; 930092055; 761299363; -1; 344754920; 706785783; -1; 236364055; 551640674; 563826427; 605460924; 151970460; 739175697; 626732546; -1; 298093947; 912709137; -1; 118102598; 844108231; -1; 269472612; 264677211; 116528731; 140913892; 422796102; 713861367; 700278341; 797596701; -1; -1; -1; -1; 137058068; 226984268; 437910711; 667273890; 254268659; 710036154; 453001050; 214041251; 292686882; -1; 388123158; 724991502; 89741072; 615683359; 276672262; 316521271; 648282553; 418705426; 716833945; 854365813; -1; 973323524; -1; 150874736; 834889274; -1; 900503324; 262552273; 219906933; 69198808; -1; 328368973; -1; 176325745; -1; 649935778; 525812851; -1; -1; 341704506; -1; 261666250; 889838595; -1; 731927059; 968728724; -1; 631645603; -1; -1; -1; 154835717; 143127238; 954264302; 634942306; -1; 235876935; -1; -1; 272303370; 147180552; -1; 65081453; 78692084; 328242100; 338274279; 251323661; -1; 498763821; 430584584; -1; -1; 82551685; -1; 255431394; -1; 877690677; -1; -1; 230152907; 185757747; 503328218; 759808430; 962011849; 969736013; 559615653; -1; 691533189; 718682861; 472344600; -1; -1; 62432967; -1; 782597735; 686822286; 874381561; 363639483; 898634892; -1; 967267534; -1; 444275792; 160103635; 618530878; 163005421; -1; 992411336; 731459233; -1; -1; -1; 226487245; 233748537; 180882465; 182664922; 663533536; 689100175; -1; -1; 751617207; 911062229; 86727084; 774763075; -1; -1; 213684287; 482293317; 581791387; 713828944; 409982731; 250816711; -1; 736421650; -1; 907616183; 861689435; -1; 9190587; -1; -1; -1; 402160858; -1; -1; 812068850; 199365684; 494177403; 600584083; -1; 825934595; 600395559; 658293517; 844488419; 833611495; 902144810; 260192980; 727797161; 82707339; -1; 848271912; 67804780; -1; 821960476; 204698489; 130898789; 399660450; 550428406; 229317835; -1; -1; 129851346; 29938517; 855086071; 405951632; -1; 887967595; -1; 531036034; 803773034; 635330676; 263442433; -1; 38702964; 269218547; -1; 662830048; 2447991; 944459724; 670510762; 171619844; -1; 776402952; 667348485; 573679498; 747022008; 258288469; 678671709; 62582903; 60246533; 221276174; 456761918; -1; -1; 566958029; -1; -1; -1; 795419459; -1; -1; 647754347; -1; 727385175; 831602995; 177060254; 908776535; 85459828; 767216417; 501594188; -1; 562484570; 217103744; 298009216; 119556788; -1; 702147945; 903261700; 870272961; 87184023; 176812206; 542624942; 173663131; 879067089; 888439205; 444982303; 720967576; 209668013; 613538463; 567136740; -1; 798996657; 356562084; -1; 581721032; -1; 874995813; 336210246; 552148696; 195630410; 248008757; 580030763; 564627851; 102243687; -1; 168663486; 592791095; -1; 754524660; 897495437; 915173528; -1; 841906980; 289022533; -1; -1; 325122728; -1; 39517759; -1; 509475143; 89902263; 946291191; 162485285; -1; 154648049; 718123576; 40851859; 222991205; 754797107; 814638920; 791836048; -1; 718529074; -1; -1; -1; -1; 671279786; 355333251; 234166888; 204451614; 975372961; 776508455; 750728789; 761834930; -1; 776223192; -1; 286775717; -1; -1; 218381756; 940540594; 918596740; 796923167; -1; 775507161; -1; 905516239; 695992720; 237761271; 138433910; 212890565; -1; 484136979; -1; -1; 126963294; 796703642; 403920499; 367105627; -1; 42220309; 863964574; 61007948; -1; 548558832; -1; 991207420; -1; 681408862; 588265477; -1; 40055666; 449116096; 393279420; 71147556; 860214558; 136458694; -1; 479507046; -1; -1; -1; 41763725; -1; -1; -1; 470555177; 270531288; 294037445; 775459491; -1; 167734122; 480078083; 343296007; 108742787; -1; 402686132; 159741837; 521487582; -1; 179053729; 447597991; -1; 408544370; 639140164; -1; -1; -1; 513069186; 561068481; -1; -1; 920939289; -1; 532999010; 259989012; 370610557; 149738729; 622910728; 863830111; -1; -1; 876707947; -1; 223215740; 838417199; 759936338; 990376914; -1; 457811870; -1; -1; 506544949; -1; 299462644; 119792544; 798110333; 243756691; 268043729; 865090075; 860558032; -1; -1; 699670776; 839876614; -1; 313506829; -1; 360211497; -1; 658819553; -1; 570832064; 471812512; 497467218; 630203516; 656909240; 973570500; -1; 616538289; 584896942; 842627836; 294425661; 698597453; 937595747; 949965959; 78455645; 323418984; 981847085; -1; 837060522; 697283998; -1; 72239774; -1; 532917207; 26959612; 79101557; 979198214; -1; -1; -1; 351311435; 789651370; 344061380; -1; -1; 864234604; 380413382; 312189452; 181993184; 84352344; -1; 561987965; 472004210; -1; 5021979; -1; 453859840; -1; 112847553; 994074927; 656379559; -1; -1; -1; 882418523; 928647561; 392133530; 53990290; -1; 712619449; 367085276; 72979478; 777209302; -1; 737812554; 900635721; 44339909; 98581110; 47881679; -1; 13217915; 726077559; -1; 896064143; 911282794; 96279474; 16634182; -1; 1415720; 501940803; -1; -1; 531336306; 830225318; -1; 406101420; 931503176; -1; 53583122; -1; 6114869; 493494088; 933179494; 705563462; -1; 33510086; 50335518; 747354755; 268082321; 42630970; -1; 174898741; 918819374; -1; -1; 562081770; 550102337; 800493323; 519223633; 861372649; 295699543; -1; 294636310; 310750262; -1; 66211296; -1; -1; 196010026; 465351273; 57789261; -1; 760975155; 751729857; 737453530; 241516465; -1; 865378941; 153615750; 909725158; 243763065; 435328777; 504106694; 472916116; 945230777; -1; 342009591; 820574994; -1; 283268564; 966775732; 348795152; 210708363; 246075671; 546318255; 649423569; -1; 862857891; -1; 214748795; 532226461; -1; 968735908; 579850387; -1; 758735689; -1; -1; -1; 126072148; 302186940; 760529697; -1; -1; 647169029; -1; -1; 495187680; 501757490; 384795785; 221593239; 454656695; 992229309; 269167619; 631713721; 705751960; -1; 710583798; -1; 860676054; 219701001; 690995723; 853700811; 531209733; 507202585; 335042972; 706223165; 295151039; -1; 844692295; 947411625; 527061441; 342960869; -1; 891907846; -1; 178778; 544977202; -1; 123695012; 384995359; 950172061; -1; 706919758; -1; -1; -1; 738555229; 105341124; 436256789; 539680751; -1; 854278365; 981051687; -1; 44755661; 160022542; 298350926; -1; 170734305; 295653284; 280183675; 687978892; -1; -1; 360770830; 269632956; 776547827; -1; 511591289; 41937988; 224094024; 385061053; 47039958; 541289668; 914366612; 723862001; 801280172; 307765510; -1; -1; -1; -1; 254508712; -1; -1; 576455008; -1; 140855770; 756956847; 910743440; -1; 196261591; 779205792; -1; 417196559; 710284626; 852186792; 826589408; -1; -1; 999573122; -1; 633912736; 966970545; -1; -1; -1; -1; -1; 493333924; 788784607; 185020953; 989546315; 649394193; -1; -1; -1; -1; 333849370; 40018691; 522315937; -1; -1; 760771472; -1; -1; 139381045; -1; 228860907; -1; 238592113; -1; -1; 551472859; -1; 538950504; -1; 635017184; -1; 768609143; -1; -1; -1; 327238218; 982051711; -1; 611996786; 77356381; 751927921; 358221965; 155286043; 901717238; 717312587; 193190462; -1; 198711439; 916923505; 6115603; 3930579; 702865929; 427471417; 540686474; 468195459; -1; -1; 369021604; -1; 695356823; -1; 89883352; -1; 229772890; -1; -1; -1; 653665677; 938757717; -1; 499313782; 466344611; 716251716; 799170595; 393195774; 676386777; 955061248; 672111858; 971434633; 197609987; -1; -1; -1; -1; -1; 959534509; 352612575; 340581182; 506736699; 682140839; 954739617; 313355427; -1; -1; 608838565; -1; 698035701; -1; 437997236; 613622226; 576530421; 249053328; 505488276; -1; -1; 266375279; 242280161; 228278318; 772541137; 402288794; -1; 428678350; -1; 266625409; 598461729; 8434143; 964406376; -1; -1; 355115240; 426937385; 25495510; -1; -1; 89289813; -1; 902663848; 768270153; -1; 359573780; -1; 571362064; 132999779; 872876914; 967296785; 271015404; -1; 44507376; 122979081; -1; 168517556; 95408400; 335478472; 665709592; 64568528; 432645270; -1; 693754021; -1; 220123508; 232127364; 780013729; 801827089; -1; 326713910; 53866406; 351793103; 984169299; 192708050; 218369148; -1; -1; -1; 490298017; -1; 909961570; 433318256; 715333795; 117674446; 759266763; 103164276; 572871404; -1; -1; 791761932; 664787007; 962759579; 676379808; 932729808; -1; -1; -1; 352560162; 664802875; -1; -1; 189513222; 75815587; 126262739; 589200389; 921744259; -1; -1; -1; 538445427; 175078032; 964827366; -1; -1; 611560287; -1; 315424503; 448346089; -1; 131896115; 34215663; 420336924; 506735320; 921804837; 949681039; 362863529; 291268402; 629226823; 490951853; 934195301; 217331596; 488652879; -1; -1; 511534507; 9550094; -1; -1; 207049485; 597374197; -1; 962547360; 378973907; 458856769; -1; 352669588; 158536090; 308196921; 23749714; 93879502; 77714460; -1; 524399202; -1; 234276152; -1; 55823784; -1; -1; -1; 606011069; 758454975; 822165114; 188622936; -1; 697626530; 582671849; 464964491; 123391134; 75371159; 423475999; 391083328; 539190293; 319120347; 735319125; 438940870; 687974763; 744861838; 700891501; 356352931; 966617588; 26109708; 914303612; 281393727; 181914018; 940836153; -1; 19366883; 746672756; -1; 497618009; 130500140; 400428995; 625057144; -1; 688079094; 559919535; 255754237; 397424213; 62414551; -1; -1; 620778270; -1; 958153262; -1; 169777103; -1; -1; 647875668; 238946860; 573418467; 929511995; 870586662; 219970641; -1; -1; -1; -1; 58536162; 818232969; 501509171; 949180274; -1; 129166508; 793013030; 539814792; -1; 737486073; 235129985; 971345510; 210214914; -1; 879077342; 701028036; -1; 912564012; 747086383; -1; 404168324; 572918641; 33828902; 895582311; 170763697; 127385307; 680795039; -1; 151834981; 71628272; -1; -1; -1; -1; 811802408; -1; 287625413; 615215028; 822262667; 942397741; 380156531; 378582596; -1; 72382100; 683294938; 805609867; 170541050; 905771294; -1; -1; -1; 159271118; 494918935; 392536397; 352790840; 655499393; 918858048; 893573398; -1; 448465371; 81361412; 879714445; 118756167; 428195891; 602188364; -1; -1; 303300102; -1; -1; 881247636; 26466679; 684440655; 63604415; 478932558; 629183348; 935065527; -1; 205261841; 659388983; -1; 895874642; 163347237; 618167213; 966570237; -1; 536676100; 881130726; 847040525; 665543593; 305159310; -1; -1; 620346924; 947155773; -1; -1; 905963745; 270977961; 588904335; 517898758; 685016661; 868227371; 532382456; -1; -1; 525808916; 455926976; 422061172; -1; 68297993; -1; 313516841; 557621053; 564635633; 952888890; 793004334; 791144353; 930562031; 357347499; 936148261; 455671317; 573168813; 104383978; 283776766; 838129341; 841012928; 399494496; -1; 783002798; 46680378; 960848709; 946518814; -1; 921176939; 627975961; -1; 70133462; 270298690; 558614323; 798682859; 5421942; 853197912; 953012593; 940239903; -1; 390914666; -1; 542700989; -1; 755944955; 639463093; 214879364; -1; -1; 852801106; 691942337; 624691999; 349399681; 808912473; -1; -1; 189138263; 368192778; 575628372; 444935311; -1; -1; 556176277; 777999217; -1; 912905406; 159496550; 725713815; -1; -1; -1; -1; 635391950; 70128150; -1; 845607335; -1; 862113437; 837230498; 434110837; 885878486; -1; 937483368; 964751063; -1; 367481529; -1; 734069264; -1; 551633204; 593596185; 225815611; 170175776; 936487608; -1; 60959824; -1; 41916609; 965920358; -1; 289212570; 81483847; 391325939; 130397865; -1; -1; -1; -1; 370607935; 777171625; 690506137; 122527307; 622670691; -1; 321929253; 628847928; 975329441; 219510289; 615593391; 49296670; 72166668; -1; -1; 43809371; 635124862; 132748539; -1; 583362565; 692725719; 915266629; 371524799; 95529478; 477758596; 159839069; 936567355; 40392502; 885887106; 408291470; 621356591; -1; 848023233; -1; -1; 784953033; 894758256; 323300067; -1; 461450831; -1; 212910178; 605474277; -1; 255155239; 649402231; 704275939; -1; 177616506; -1; -1; 792530595; 153482240; 925931694; 666406064; 332408059; 478724665; -1; 292915606; 258482491; 20378782; 565292476; 14875247; 829311099; 422337034; 362745798; -1; -1; 353958359; 36608956; 545503026; 675869711; -1; -1; 754236157; 71116182; 84430088; 365779312; -1; -1; 794636634; -1; -1; 872722585; 820962097; -1; 260801453; 751796124; 99719472; 340153478; 913829212; -1; 386577303; 39169700; 454977777; -1; 40324175; 833644772; 835708181; 688209006; -1; 490908652; -1; 415948610; 656089831; 228153483; -1; 157363238; 788908587; -1; 385321394; 438182319; 399448939; 428553720; -1; 303695234; 340539966; 88814377; 660966691; -1; 285017770; -1; -1; -1; -1; 59090553; 790503462; 337832949; -1; 672531022; -1; 311748514; 463007905; -1; 802968247; 293089837; -1; 445781509; 172984933; -1; 954155823; -1; -1; 901911909; 539452513; -1; -1; -1; 293170349; 805642436; 959133830; 443783255; 347092999; -1; -1; 690390264; 46344915; -1; 903425837; 725043652; 143579311; 703550129; 369796123; -1; 924687977; 871352691; 125750282; 663446187; 44977415; 412119310; -1; -1; 752358225; -1; 512128549; 31019556; -1; 695350114; -1; 331912225; 166521379; 140083924; -1; -1; 148151644; 570191366; 411939391; 501654447; 976171785; 932913743; 692322658; -1; -1; 484811847; 20580055; -1; -1; 455286414; 404022737; 744580696; 212980718; -1; 423322779; -1; 425056841; -1; 792891777; 710773105; 346034832; 560457973; -1; 860375972; 310220079; 577907311; 320173974; 828421852; 808998143; 904947413; -1; 279449237; 568276268; 970666914; 374254489; 95844357; 87662657; 490766444; -1; 260359014; 338267575; -1; -1; 544478310; -1; 401344618; 751190459; 919202212; 181492524; 711297872; -1; -1; 157978441; -1; 360543674; -1; 828269407; 104290139; 960056787; 706194311; 968943668; 891209845; 164425862; 618889082; 827701745; 593386602; 605266016; 68860790; -1; 56482860; -1; -1; 295510473; 782192547; 165922938; -1; 788502150; -1; 697104979; 115747276; -1; 385052760; 24052357; -1; 57972498; 641293014; 35192153; -1; -1; 510325057; -1; 578486296; 798623240; 979786591; 309548403; 356455092; 401733004; -1; 597716285; 396893435; 579820068; 166698607; -1; 478553296; 308070739; -1; 298333802; 524528378; 878840533; -1; 49027377; -1; -1; 522374927; 217174126; 695485529; 766085112; -1; 488328067; 736110913; 444384563; 771810178; 423504981; 477787542; 265267689; -1; -1; 769273791; 381974885; -1; 384543632; -1; 171634673; 204989117; -1; 464717366; 982469387; -1; 374183074; 226163791; 894387146; -1; 412476136; 884029919; -1; 82595632; 1419761; 352918008; 766060824; 125288665; 105926725; 747308504; 228372657; -1; 215314250; 103338297; 18140506; 932800348; 753761349; -1; -1; 408432881; 971906988; 878065974; 868283955; 643535012; 590838664; 591876425; 430155718; -1; 406846057; 55340733; 904597035; 472116625; 295484932; -1; 313510784; 39227593; 207583340; -1; -1; -1; 491598243; 451172976; 17227954; -1; -1; -1; -1; -1; 74225821; 143349397; 961710037; 115073365; -1; 287900058; 217795328; -1; 782688555; 970528356; 927008881; 987002637; 881837098; 874403584; 15760979; 85867160; 382484265; 242156571; 975032690; 282877128; 617886972; 311298037; 229471044; -1; 581715847; 674292359; 855590475; 357778391; 620927827; 952619266; 601924397; 401318079; 772302685; 494910589; -1; 209462031; -1; -1; -1; 803589303; 959021741; -1; -1; 32215950; -1; -1; -1; 424528955; 568243264; -1; -1; -1; 665504134; -1; -1; 643202638; 685398732; 803066504; 54674055; 321336098; 760636000; 746671270; 14382120; 532759634; 733931668; 155646717; 237790882; 90648173; 736294281; -1; 551323883; -1; -1; 565706957; 881698771; -1; 780856838; 318507371; 380972588; 709931203; -1; 955539126; 599715860; -1; 226916760; 893324045; 798166785; -1; 664980617; 328586180; 275128580; 744003666; -1; -1; 713571954; -1; -1; 140709105; 884402529; 573201463; 606364600; 262529089; -1; -1; 177123364; 454332992; 952042486; -1; 402737758; 690071679; -1; 986880535; 455782157; -1; -1; -1; -1; -1; 90870239; 515217820; -1; 935485273; 728905811; -1; -1; 804445561; -1; 506683519; 639965650; -1; 247436699; 579248704; 497365527; 804592916; 798682253; 849700880; -1; 305651828; 703007658; 661860400; 827261459; 38053893; 305742405; -1; -1; 251124943; -1; -1; 706411791; -1; -1; -1; 826510156; 513561147; 707405775; 788646155; 962039554; 669890491; 616061649; 832095418; -1; 577673741; 340386362; 721563965; 499445671; 250301103; -1; 561355483; 699167785; -1; -1; -1; 278822864; -1; 371193129; 694437542; -1; 879827345; 86912959; -1; 645734247; 124568481; 148973677; 641779420; -1; -1; 133472476; 513523189; -1; 995228771; -1; -1; 346672150; 610376652; -1; 4031110; 458424209; 326295261; 380847132; 493448295; 731576157; -1; 119834941; 387679391; -1; 293658052; 708988406; 741434456; 387636865; 46876670; 392248640; 815801430; 719980988; 769418673; -1; 553642209; 377583224; -1; -1; 674488819; -1; 921798602; 21273420; -1; 16035915; 767045850; 713704225; 217855244; 457688319; -1; 344727911; 918322654; 618380078; 193488834; -1; 579892962; 429646587; -1; -1; 98838121; -1; -1; -1; 567513554; 929755816; 368303612; 210584936; 180702552; 264600608; 127615770; 821553629; -1; -1; -1; 984843395; 628457910; 406271059; 990858456; 946776942; 920663843; -1; 515243291; 384694665; 790678706; 737181698; -1; 467812292; 767758333; 108117152; 619616609; -1; 894862678; -1; -1; 604568006; 483466959; 723983480; 608602671; 819739237; -1; 139829317; -1; 883228366; 632664964; 2866807; 561631054; -1; 119584938; 442762097; -1; -1; 221370860; 400788322; 380148316; 583053099; -1; 709795368; -1; 626144345; 506574475; -1; 755700588; 56017908; 738353117; -1; -1; 402399596; -1; 343887341; -1; 197167321; -1; 118743067; -1; 629947242; 532086841; 878343997; -1; 150319933; 951452814; -1; 187030293; 572461309; 944405954; -1; 707668981; 229234329; 798026506; -1; -1; 357576769; 226374478; 906724727; 443082088; 784519064; 832279748; 527064411; 880471957; 591584031; 396474040; -1; -1; 700425441; 975908624; 238729748; 652056934; 256974040; -1; 853722067; 50320869; -1; 38561165; -1; 29329375; 26208552; 847937494; 431420186; -1; -1; 285510905; 933353785; -1; 968972557; -1; 736259938; -1; 603795748; 603826633; 710000607; 436931265; -1; -1; 800597608; -1; 117974564; -1; 536543405; 13175037; -1; 908352141; -1; 674329327; 935137049; 258245378; 248072218; 903014671; 480985804; 353911824; 485473748; 526791631; 428275137; -1; -1; 401098457; -1; 739307050; -1; 903765445; -1; 228464169; -1; 665516778; 663290835; 772092651; -1; -1; 548533225; 921899298; 282265795; 259293968; -1; -1; 847444472; 476063272; 311878302; 964793500; 459138693; 545420298; -1; 526138493; 880975960; 407214999; -1; 801389050; 980221517; -1; 387916974; 444128861; 829057709; 921875681; 403969534; 577963166; 750275691; 953735633; -1; -1; 906433028; -1; 374970945; -1; -1; 540099062; 466967344; -1; 766018872; -1; 203868590; 711596290; 241623489; -1; -1; -1; 967587901; 425424658; 885140528; 614456591; 671993075; -1; 80385373; 517870409; 691136334; -1; -1; 357426788; -1; -1; 784891887; 4483329; 517017024; 634785035; 893949017; 952717883; 37777291; 957951226; 780667779; 606081786; 689790933; 316885861; 90729212; 51408359; -1; -1; 741444866; 19858937; 968771251; -1; -1; 502467566; 389359547; -1; 481042022; 881269216; 994592861; 962085193; 290517740; -1; 634059443; 114004421; -1; 324928003; 630615910; -1; 363685244; 504073733; 173719138; 315863714; 349032076; 816925681; 197835105; -1; -1; -1; 512993537; -1; 445585040; 365647162; -1; -1; 693639558; 54824779; 937937176; 450530108; -1; 902345653; 389118640; 548677312; 316260137; 885627456; -1; 468327338; -1; 385846294; 491688952; 738123441; 178737197; 468155533; 699029148; 127084283; -1; 579115012; 864390147; -1; 155519961; 719245457; 72411719; 635097445; 499115765; 166033195; -1; -1; 62444349; 104319514; 376523764; 252085527; 558589222; 793359874; -1; -1; 865197965; -1; -1; 312768232; 695024309; 157723276; 633177926; 918192056; 466934287; -1; 20761363; 816965384; 349793353; 981255067; -1; 584808445; 657437839; 197965210; 89345957; 892907549; 938433166; 301357165; 139228434; -1; -1; 70389260; 165802153; 173747083; 476215063; 658474038; -1; 172121710; 591520951; 624665372; 731207262; 516182569; 628797059; -1; 950020493; -1; 406171852; 876004946; -1; 479220878; 619754041; 37614811; 735470160; 73499272; 931141479; 328543485; 285959102; 589373285; 393406654; 676760108; -1; -1; -1; -1; -1; 625496459; 117357956; 242243972; -1; -1; 863416619; 920344041; 528622043; 911723719; 986752994; 754073240; 212471755; 85316013; 401244478; 152821698; -1; -1; 260737492; 427521800; -1; 42796682; 707216541; 357816992; 585334085; 328277525; 51796605; 224005305; 272518877; 343991310; 116889674; 412598969; 385668899; 766999884; 59390641; -1; 637155155; 654408230; -1; 945017420; 693363241; 681180047; 621782183; 649831374; 817232375; 171938888; 575995981; 471549196; -1; 22369149; 262388754; -1; 141007194; 837105182; 529664508; -1; 679132181; 613325317; 121741971; 280983037; 107720071; 284654022; 231666368; 496686806; 28205328; 912948390; 659823864; 333103456; -1; 87102108; -1; 137048457; 861106666; 898716611; -1; 864492390; -1; 321234883; 387385884; 69776271; -1; 661323068; 895058165; 542835836; 472278148; 878130841; -1; 743859250; 539532751; 643749360; 431520813; 132860330; 315654661; 831911797; -1; 80418504; -1; 503182016; -1; -1; -1; 395395763; -1; 611539802; 67481574; 998367270; 177081184; -1; 206364934; 740396183; -1; -1; -1; 233481382; -1; 261576227; 268513110; 847009874; 350767201; 517061380; 518512414; 665441236; 67265320; 751200261; -1; -1; 407782787; 882941360; -1; 514588091; 788626573; 278017224; -1; 46801880; 754986552; 158351349; -1; 583886855; 63040629; -1; -1; 869661293; -1; -1; 381667241; -1; 609807900; -1; 910933763; 752185094; 784627424; -1; 96775842; 524996683; 549831530; 778461350; -1; -1; 185956400; -1; 120590494; 134946769; 410399430; -1; -1; 946937760; 354930561; -1; -1; -1; 638049263; 444487966; 17759030; 784785445; -1; -1; -1; 397404948; -1; 544049940; -1; -1; -1; 530108114; 544811589; 260123265; 380597319; -1; 724733505; 518039173; -1; 933736647; -1; -1; 36156614; 161132787; 787406472; 926369793; 870255197; -1; -1; 373951810; -1; -1; 674730120; 292544102; 859146715; -1; 759785146; -1; 860364457; 115896768; 376711420; -1; 676720949; 646935140; -1; 310728431; 350663552; 962858656; 562382714; 526544176; -1; 141137425; -1; 442495519; 956711728; -1; 787336337; 470503522; 87672675; -1; 248574534; 93009991; 289763609; 701909316; 918957064; 780234982; 35065192; 818737377; 11633467; 483514182; 510601924; 25962037; 174808664; 63815773; 143224236; 304085051; 589221079; 835107652; 72499894; -1; 659936197; 491163331; -1; 31942793; -1; 203363686; 281006048; 559222631; 464579466; 191292113; -1; -1; 782138995; 887679524; 985252803; -1; 831246624; 808529418; 608089958; 993560204; 759432202; 735708213; -1; -1; 242173325; 946005440; 703494224; 476955750; 949071424; 476720047; -1; -1; -1; 812466860; -1; 930886155; -1; 280922476; 291769640; 151445284; 825598855; 244495802; -1; 497329424; -1; -1; 532468523; 946161725; 597791986; 787519448; 540634927; -1; 178450726; -1; 972140002; 134812397; -1; 227965140; -1; 888982041; 701978689; 122302268; -1; 661746269; 272243005; 837971286; 775450939; -1; 145889421; 442736816; -1; 421691625; 111539437; -1; -1; -1; 739818259; 790341746; 865432981; 596444097; 647990695; 799952170; 2634904; 90968139; -1; 335683855; -1; 400692999; 474941034; -1; 717394714; 120763391; -1; -1; -1; 455405924; 549061493; -1; 49018198; 742671774; -1; 521862759; 792268081; 494049002; 477743861; 126639116; -1; 199837302; 891274320; -1; 899109022; 83291099; 654942110; 550518248; 505935153; 400259929; 52561531; 982525694; 411044937; 468659041; 303667773; 695424271; -1; -1; 760607154; 448989497; -1; 292866672; 261269317; 496824596; 331922550; 21986165; -1; 378200594; 470979331; -1; 701693169; 417045829; 955045159; 622767734; 192042832; 6421337; -1; 496796682; 587247181; -1; 901841394; 718634498; 187527228; -1; -1; -1; -1; -1; 178712475; -1; 583643132; 849747346; 627148374; -1; 423713554; -1; 695656938; -1; 79205284; 840882197; 786434858; 255284431; 839948595; 497587811; 374713651; 783725184; 418604497; 815948452; -1; 465643444; 714519766; 339815300; -1; 259798539; 733385113; -1; 671192109; 597374413; 652810718; 796392440; 618826851; -1; 826918889; 493285665; 880944779; 365898725; 347035165; 189116719; 937647095; 617391872; 133142475; 472204689; 652755067; -1; 51536834; -1; -1; 715827111; 831179991; 366990792; -1; -1; -1; 273459559; 33875664; 841652414; 773297895; -1; -1; -1; 552322079; 589876231; 523345216; 955639869; 496741677; 222053059; 551517521; 752770056; 137384170; 418748961; 512098694; 3200413; 476744897; -1; 354171296; 647925763; 562076558; 504235622; -1; 290881141; 166179221; -1; -1; -1; 847084304; -1; -1; 325326801; 921468015; 268095085; -1; -1; 857199347; 659720405; 339653588; 56727746; 385752097; 696201196; 958974767; 389073129; -1; 259849926; -1; 909023396; -1; 956503932; -1; -1; -1; 111064128; -1; 654129970; 462637906; 70311643; -1; 66119926; 507852545; 166331450; -1; -1; 491072991; 120402200; 569731700; 894665915; -1; -1; -1; 802193133; 203353335; -1; -1; 359140793; 638065295; -1; 378882492; 152207546; -1; 803187178; 731175468; 510337076; -1; -1; 760842195; -1; 369192496; 337043643; 336130157; 218681871; 949465153; -1; 442072451; 481106428; -1; -1; 226239119; -1; -1; -1; 353234848; -1; 300590038; 112316201; 947467157; -1; 92283118; 902363411; 909504794; 577878172; -1; -1; -1; -1; 722247686; 91729611; 153569256; -1; 91599198; -1; 261731841; -1; 389420701; 603095927; -1; 63391114; -1; 522805611; -1; -1; -1; 954015691; 822314329; -1; 434479867; -1; 718912680; 626623365; -1; -1; -1; 227347978; -1; -1; 714381011; 730423341; 572330852; 389171296; 446707024; 592199520; 728413080; -1; -1; 649701237; 651683162; 557654235; 1782723; 129909207; 917805522; -1; -1; 551900862; -1; 753543128; 834811820; -1; 381078507; -1; 688322635; -1; 343584872; 620587546; 840471818; 137517305; -1; -1; -1; 640763486; -1; 153978784; 442280342; 534780019; 793223175; 206833205; 803126489; 604835269; 784043109; -1; -1; 711917477; -1; -1; 450387374; 801694956; 327668238; 667359306; 927342196; 645398274; -1; -1; 681090546; 242497657; 653289735; -1; -1; -1; 467013917; 683276977; 193637496; -1; 407886496; 211146961; -1; 364180392; 117436048; 673060305; 529252698; -1; -1; 543655700; -1; 204660801; 618811384; 427575762; 140658629; -1; 890999794; 740715009; 519009395; 891058078; -1; 299360495; -1; 785150410; 773259298; 433173368; -1; 440132059; 693894777; 297562255; -1; 606702833; -1; 226698003; -1; 345499953; 953505193; -1; 466646080; 742366738; 315851242; -1; -1; -1; 506946429; -1; 717970188; 514844335; 594794080; 424230350; -1; 736232440; -1; 560291819; 72424343; -1; 842402883; 298971270; 609481678; -1; 587815809; -1; 790493242; 444463858; 16785077; -1; 614888162; -1; 609287643; 373084434; 909181496; 802436833; 360770255; 359079180; 611525725; -1; 349665876; -1; 163095855; 952549503; 505764973; 945739181; -1; 913049034; 233965638; -1; -1; 977126170; 89048267; 299614496; 986711317; 929273326; -1; 106336417; 86635204; 627519938; 141406392; -1; 754324102; -1; 753399494; 239109218; 472069039; 255155896; 228283222; -1; 801081189; 172351651; -1; -1; -1; 522953636; 575062852; 945710552; -1; -1; -1; 229195512; 466721798; 856378044; 987354425; -1; 186277797; -1; 433106644; 387400057; 409595721; 494012756; 930663232; 533200187; -1; 825259093; -1; -1; 489529531; 35647130; 164053862; -1; 115903082; 344969028; 411460180; -1; 349213108; -1; 528858578; 141695035; 184690501; -1; 746434728; 2878424; 643300963; 123173510; -1; -1; 850687772; 748455441; 665322912; 349166013; 151866507; -1; -1; 506089172; -1; 646876447; -1; 778182184; 720534494; 585762687; 879802957; 790691197; -1; -1; -1; 976791684; 260333664; -1; 398949707; 532943707; -1; 547878541; -1; 351962205; 644042338; 758361816; 328103378; 541770229; -1; 687400469; 34930135; 694696663; 46470178; 712079996; 630272437; 571415404; 889874679; 749803285; 494487134; 810006200; 902320478; -1; 176094056; 359996482; 326992038; 865827471; -1; 257277285; -1; 394998325; 485947749; 324842844; -1; 488979872; -1; -1; 327556826; 392192962; 909485217; -1; 116963372; 388471101; -1; -1; -1; 500298949; -1; 757456597; 159311631; -1; -1; 855410258; -1; 682287332; 973606615; -1; 531159342; 97256549; 577984623; -1; 236185785; 803729119; 377475859; 465373961; -1; 562589767; 895755723; 874985476; 632946876; 95800338; -1; -1; -1; -1; -1; -1; 957289331; -1; 524474572; 704761143; 591713601; -1; 965669856; 140117002; 311202510; 304343938; 989739591; -1; 265102463; 661267861; 266768389; 716826837; 659233466; 356155057; 790409442; 13580890; -1; 704940156; 206886545; 125028326; 445728811; 190055065; 959242780; 604889354; 948783950; 926162988; -1; -1; -1; 60005855; 298551913; 12369046; 719536973; 248069469; 336531933; -1; 665592024; 870430645; 596235347; -1; -1; 247125585; -1; 681125352; -1; 419432303; 280304993; 657859127; 577857796; 72061220; 741821979; 928053127; 721338112; -1; -1; 174350016; 440998472; 531325402; 224795304; 519671426; 736504081; 353238499; -1; 964426211; -1; 85413270; 691620232; -1; 665132441; -1; 479946406; -1; -1; 212948251; -1; -1; 753023772; 527511674; -1; -1; -1; -1; -1; 158716274; 934157249; 20468915; -1; 191023397; 889035690; -1; 731316228; 824194895; 762984641; 82317058; 862577641; 515053719; -1; 785403891; 161235279; 840113753; 764103670; 226957029; 607963757; 830123422; 447450699; 75797303; -1; 522831355; 486537493; 78690293; 293301180; 7874846; 417561948; 178602405; 709611480; -1; 42388029; 437684435; 277010115; 154101251; 886325524; 715440653; 93075552; -1; -1; 542732685; -1; 545174021; 552391718; -1; 244030945; 785558790; -1; -1; 37853555; 976909639; -1; 767991069; 221168690; 479294406; 835045261; 134687146; -1; 538038721; 195277389; 630375973; -1; 686197079; -1; 611334675; 463425734; -1; 481655996; -1; -1; 650154004; 547011335; 953948327; 329600897; 475966533; -1; -1; 422868337; 598807113; 470672564; 445588231; 15078250; -1; 806234918; 462881214; 251926218; 200085569; 227437043; -1; -1; -1; 349570695; 465524148; 632266634; 274457104; -1; -1; -1; 430872403; 894071893; 806187585; -1; 864199489; 653926536; 561852551; 789156289; 334296910; 725799144; 746945111; -1; -1; -1; 383300457; 669089310; 540286661; 569424791; 650810423; 399102588; -1; 276362868; 385136131; -1; 584426189; 304411779; 598590656; 440577394; 263158600; -1; 635011510; 181892756; 377638249; 945718187; -1; 124287913; -1; 114207364; 625205007; 197552338; 175654862; 104862010; -1; -1; 452384883; 100566043; -1; 699975105; 142130064; -1; 132606201; 841399664; 714874907; 990394862; 714182000; 78715890; 736845829; 696484375; 726929792; 787683062; 637005161; 857475178; 156871533; 582495693; -1; -1; -1; 574217580; 691938343; -1; 855621634; 483994479; 296399030; 505540335; -1; 43377204; 917070462; 895039073; 645525420; -1; -1; 485430328; 764122018; 953589819; 964269367; -1; 331373414; 170319841; 220705412; 803775461; -1; -1; 793703862; -1; 709271850; -1; -1; -1; -1; 544388535; 745070970; 374858624; 669374946; -1; -1; 343143500; 389151537; -1; 416359388; 186770085; 244419082; 341942622; 572072233; 894626634; 966553749; 968727183; 578417153; -1; 8745446; 974211111; 976420233; -1; 431971819; 24964124; 404526205; -1; -1; -1; 390656353; 742475423; 999037680; 834612307; -1; 331473864; 262734336; 838542017; -1; 729338016; 98068481; -1; -1; -1; 491524794; 160019923; -1; -1; 815487703; 184626034; -1; 140786020; 987093081; 504548826; 399501889; 421287629; 213774633; 117919797; 118658462; -1; 883897396; -1; 559073586; 739537054; 897595615; -1; 612687845; 355151090; -1; 179751379; -1; 293892381; 345283184; -1; -1; 693972553; -1; -1; 923901862; -1; 78446065; 203554059; 678654656; 475475356; 529980405; -1; -1; 297032404; -1; 192513012; 501027316; 655635337; 834920419; -1; 637076763; 937134803; 167930133; -1; 853716281; -1; 90448590; 886606614; 312354494; 105638468; 649467782; 936849616; 516421884; 491737514; 301370333; -1; -1; -1; -1; -1; 304557671; 343631026; -1; 927998428; 178203531; 630513571; -1; 654320974; 421500042; 664302783; 856437916; 831675664; 844808134; 456173464; 860402036; 438853701; 191511109; 776349646; 237959579; 876294241; 797372862; 350795329; 886952122; 92588595; 33052007; 948927517; -1; -1; 919391924; 936073388; 846832990; -1; -1; 861809817; 994244994; 936381899; -1; 962111173; -1; 402624141; 907384991; 308718716; -1; 9886920; 564598904; 723194667; 362000233; 372638767; 531652533; 240801773; -1; 928494269; -1; -1; 268406864; -1; 773536602; 795798703; -1; 234974516; -1; 626235908; 920223906; 577519596; 545760936; 721145793; -1; 818254495; -1; 443518042; -1; -1; -1; 222219148; 30759707; 776170456; 914275121; 434052511; 101801159; 810168617; 424204920; -1; 522642407; -1; -1; 349168640; 933857381; -1; -1; 127918899; 42080126; -1; 192557497; 496083564; -1; -1; -1; -1; 30303244; 230316724; 84326747; 205432507; 550232441; 962055656; 250638634; 329342119; 438764466; 253442950; 51278549; -1; 282874206; -1; 772897095; 200697105; 186927981; 195057177; 748498243; 725591029; 486207383; -1; 921304466; -1; -1; 385883370; 640207990; 548779698; -1; 377772197; 827545646; -1; 980071134; -1; 176206624; 550405782; -1; 758468308; 633517791; 981930134; 259837345; 702008269; 201427989; 520893804; 253165605; 240506342; 687129182; -1; 382144766; 134818455; -1; 679687064; 158043291; 436083052; 366539979; 8890965; -1; -1; 676822951; 725427562; 560070315; -1; 674208145; 304134504; -1; 80128693; 21495734; 60369667; 30090685; 103839800; 572912; 879381011; -1; 997772947; -1; 206746882; 155845254; 726078515; 197273842; -1; -1; 891907112; 894099119; -1; -1; -1; 641403090; 448418338; 904967673; 502370333; 870204053; -1; 989796404; 249808332; -1; 626783578; 451341761; 772824386; 71731159; 241961383; -1; 433094373; 579473810; 194730556; 864496952; 758444371; 322773801; 270954745; 601068283; 533288697; 776930935; 487089386; 466993828; 1983702; 288070128; 931892173; 683676197; 844028337; 737684872; 865249836; 170179751; 378648156; 684684177; 496003643; 84911927; 946501264; 129309620; -1; 756282467; 52338791; -1; 376567150; 310626230; -1; 719200406; 375655466; -1; -1; 870978475; -1; 684776098; 353014486; 875754025; 636155318; 113199145; 157016655; 518705232; 422593211; -1; -1; 777542949; -1; 412375130; 471728860; 873532138; -1; 381727276; 794462129; 100339952; 76434080; 366061872; 252882604; 717098112; 683668367; 32193323; 120946059; -1; 781172934; 295831339; 107584357; 263801876; -1; -1; 575959269; 159339784; 196372831; 598705289; 513450371; -1; -1; -1; 68490587; 196935696; -1; 521182764; 310416253; 678203657; 324647710; 473629672; 494917433; 602174032; 855938200; 995943508; 550008358; 563396961; 349607986; -1; 684303288; 48640228; -1; 179348371; 957670386; 365489048; -1; 966779552; 943686451; 111755357; -1; 801027466; 537581380; -1; -1; 736872908; 736444317; 307530984; 933501248; 629828363; 835774686; 837997638; 669528089; 723712862; 478808348; -1; -1; 65589804; -1; 891697341; 783130354; 991106263; 549875759; 993141137; -1; 886733563; -1; 274000179; 205110977; 854570974; 173374407; 721129333; 775683118; -1; 462775368; 967325905; 20378296; 621243391; -1; -1; 544743206; 573673364; -1; 369039699; 137987208; 127742230; -1; 21602149; -1; -1; 323071564; -1; -1; 311928116; -1; 732700295; 800741117; 463720721; 250403924; 631044790; 350775677; -1; 140047568; 537865473; 698855291; 6786769; 405264064; 945770076; 745823732; 640401757; 943997250; 213290057; 45760695; -1; 628381506; 240335026; -1; -1; 190344903; 99610803; -1; 821437116; 16027399; 874438907; 982813379; 360592892; -1; 783916106; 585870308; -1; 27883502; 768454832; 508439144; 496347762; 623889785; 660449017; -1; 296113514; 822511564; 739295118; -1; -1; -1; -1; 633457230; -1; 882699986; 95247273; 29660723; 850353982; 144687101; 642548443; 82483636; -1; -1; 694452543; 215963856; 398186266; -1; 431610761; -1; -1; 155389991; 347211071; -1; -1; 935763941; -1; 202181609; -1; 291985659; -1; 946557824; 795308165; 856182533; -1; 115757835; 37538552; -1; 512548597; -1; 856391371; 346510645; -1; 901337441; 221627248; -1; 904801947; 11565980; 583958880; 210408151; 429768993; 4644075; 561438761; 227637585; 118346340; 309987948; 642136052; 240611734; 889168620; 509787767; 979813078; -1; 347633742; 898420816; 686691193; 920690391; 685099092; 189582109; 405027349; 609066990; 825622644; 367664593; 612397949; 107165872; 684051209; -1; 704675208; -1; -1; 343876843; -1; 515135693; -1; 949459240; -1; -1; -1; 462977958; 676157694; 756312121; 538436540; 13904870; 338136449; 768076207; -1; 499759479; -1; 231462215; -1; 738269811; 912602837; -1; 965626516; 385248081; 163705510; 604138864; -1; 642564601; 338941709; 607490849; 471176862; 262782597; 374001206; 584359262; -1; -1; 435617438; 366590031; -1; 270454115; 345722272; 131128210; 814580054; 398790999; 180162842; 111670295; 798682709; 834309709; 562539638; -1; -1; 264602065; -1; 519521533; -1; 71137340; 663663036; 146511698; 216879462; 110440006; 239596070; 547601496; -1; -1; 426346055; 114707976; 103878992; 863344915; 980545583; 358105258; 648278413; -1; 35801094; 912853132; -1; -1; 790673404; 904151319; 190373957; -1; 941299571; 844559097; -1; -1; -1; 768160123; 411908165; 573696028; 789255277; -1; 301230610; -1; 101930377; -1; 256796593; 377940319; 273575030; -1; 310783655; -1; 834093706; 17818854; 148122509; 481549673; 26673174; 280358131; 78042099; 698325473; -1; -1; -1; 202264636; 827312459; -1; 904313451; 588756065; 586182351; 298284937; 876126339; 351790280; 634742208; 312687173; -1; 577681310; 733148139; 277285725; 507299709; -1; 304516931; 604047680; -1; 561969286; 343896216; 404820684; 254788961; 792950688; 786908367; 900265575; 103100177; -1; 163980619; 694158548; -1; 255232589; 51058792; 246345729; 732491235; 273164081; 180065781; 124072590; -1; 541620809; -1; -1; 128190184; -1; -1; -1; -1; -1; -1; -1; 835727169; 254281161; 181871884; 372912232; 212694747; -1; 685749262; 505072617; -1; 594287935; 795812592; 326603251; 975853227; 193100707; 133981447; 597746248; 476066596; 530106815; 595219011; -1; 412714055; 727902731; 498817350; 800440905; 81986237; -1; 188258721; -1; -1; -1; 793472036; 852155190; 244763421; 877036879; 467880433; 24380499; -1; 388315544; -1; 667579797; -1; -1; 621790158; -1; 988238086; 142288484; -1; -1; 175177029; 249341834; 120818867; -1; 49875995; 228994428; 313577736; -1; 884192583; -1; 899502008; 65775506; -1; 277833095; 746691095; 414048211; 162450219; 151855888; 631159831; 434815846; 905103469; 529215300; 459478713; 504916348; -1; -1; -1; -1; 616324183; -1; -1; 151802165; -1; 985291911; -1; 484358315; 454116913; 797606078; 833638895; -1; -1; 379443963; 563897533; 921226699; 630490384; -1; -1; 391876690; 646503540; 375172830; 793132712; -1; 889828629; 225492963; 614177681; 757663178; 187261482; 918212642; 912362334; 670925711; 728701478; -1; -1; 384547358; 255151301; 962024982; 955316558; 147532472; -1; 665435264; 733780486; 489876798; 145222291; -1; -1; -1; -1; 113839338; 498939176; 569474998; 463500894; 414267770; -1; -1; 354844068; -1; 663676126; 981294466; 334397332; 609291164; 325234717; 586895368; 946938195; 377863033; 129480402; 329843640; -1; 358541767; 752060040; 896931831; 723147269; 443393012; -1; 275965884; 373204733; 528893344; 979710747; -1; 847153717; 885479060; 487933905; -1; 777120470; 260411430; -1; 498654339; 404041689; 831298541; 491256048; 761855193; 719980477; 582980266; -1; 180018881; 941425403; 562894912; -1; 823240411; -1; 231155139; 187338849; -1; 473858056; -1; -1; 823453534; 753618404; 513274332; 601599158; 15010816; 848280300; 275959468; 431771546; 887989442; 244623482; 906228618; -1; 92052805; -1; 532468499; 392666954; 600587729; 482563792; -1; -1; 229740842; -1; -1; 601685408; 715720158; -1; 233223772; 93991251; 173033015; 880726971; -1; 436587791; -1; 625387954; 73133662; -1; 998138374; 619135503; 634111108; 861467079; -1; 227418358; 346655047; 571485576; -1; -1; -1; -1; 763566305; -1; 584607111; 439496890; 412220503; -1; 476576815; -1; 119587213; 55739728; 647564807; 404462514; 889271426; 719903232; 516042249; 850290038; 128559338; 943121425; 45514871; -1; 171931399; 346535592; 261212540; 671955320; 253827168; 504307026; -1; -1; -1; 396960583; -1; 750450181; -1; 534214393; 513123160; 481547408; -1; 705576978; 356806489; 200631102; 138674144; -1; -1; 278601256; 694353422; -1; 793251343; 790037437; 989589153; -1; 368066728; -1; 7569645; -1; 310157463; -1; 935451098; -1; 766102243; -1; 859822056; 99495207; -1; -1; -1; 109230734; 865591894; 315648206; -1; 714314900; 447094750; 988894885; 624523302; 918697626; 441143431; 638268407; 110673725; 930304495; 556328165; 717562496; -1; 597288786; 85350999; 759362161; 28286943; -1; 748316675; -1; 644444479; 704680056; 909976811; 917489824; 655270023; -1; 93578954; 189668739; 441958166; 381588015; 15290861; 228029824; -1; -1; -1; 123776501; 15808316; 116884439; -1; 347189498; 303939084; 960519369; 520928011; 60952005; 881631869; 468647637; 962000140; 290630008; 119499981; 496107832; 351502180; 375321567; -1; 612549072; 359820692; 799376802; 205315855; 79774510; 752612681; -1; 78904219; -1; 806467633; -1; 841509106; 678713714; 981353897; 759778202; 650430665; 19760387; 25169800; 896267575; 827519487; -1; 342600883; -1; -1; 857510412; 35650033; 461897721; 31014508; 483020113; 672581882; 337136077; 790422857; 22481472; 495846580; 189296149; 839592577; -1; 1795352; -1; 564794230; 261507652; 982990172; 380536557; 244636130; -1; 106215830; 692301303; 116508965; 636222861; 572807080; 149111729; 569719661; 338412058; 321942394; -1; 131724566; -1; -1; -1; 787369326; -1; 808790793; 660187906; 859366774; -1; -1; -1; 523437232; 916338076; 469538007; 730393475; -1; 295960235; 780329878; 718742; -1; -1; 473174501; 887298005; -1; 201583297; -1; 573112351; 232797686; 922105080; 233310577; 70710262; 699877753; 198833354; -1; 864223715; 610856914; -1; -1; -1; 768806945; 423775693; 203223284; 357165293; -1; -1; -1; -1; 503363189; 784253515; 35010626; 324148115; -1; 42052969; -1; -1; -1; 520480124; 19401320; 954174060; 161611148; 265127719; 637548220; 313597022; 150590786; -1; 912737390; 440647587; -1; 208709243; 764186554; -1; 691739379; 890221800; -1; 440632743; 890838181; -1; 13977551; 901893405; -1; 427460026; -1; 141325526; -1; 304747584; 266458411; 423027317; 418589427; 858893199; 319283996; -1; 873444503; 266606179; 324974924; -1; 980675107; 935636923; 276595168; 325490750; 667957753; 645685658; 146486908; 780863035; 19521471; 207381200; -1; 563623807; 204543915; -1; 411988393; -1; 711611650; -1; 835968734; 211038816; 896953874; 546855547; 727977672; -1; 137746399; -1; -1; 1695185; 71213740; -1; 61980712; 731090823; 424498864; 36461368; 400165707; -1; 117576192; -1; 232022446; 554414986; -1; 468182538; 378470297; 191288384; 814088025; 488729515; 260927558; 318629499; -1; 568407411; 45242465; 750486488; 68012495; 41747982; -1; -1; 959210647; 192221768; -1; -1; 497319673; 143695902; -1; 778132019; -1; -1; -1; 360048758; 353594146; 440458175; -1; 660608184; -1; 895043155; 851058402; 38537574; 388425050; 13336368; 82705429; -1; 187158254; 507491931; 915076328; 397224528; 858599602; 460626470; 17703679; 839270787; 243201938; 745624571; 112449951; 48901976; 340104914; 779895629; -1; 546209630; 372174341; 237910037; 440290872; -1; -1; 651968963; 776119633; 104041710; -1; 677513397; 337177996; 594855523; 854758199; -1; 869382873; 636933699; 599024929; 30871448; 951088697; 298157098; 283253706; 422510820; 513609964; 491289011; 488678664; 717845079; 522669613; 239564692; 751851720; 893406796; 50448954; 651373175; 511978385; -1; 588086526; 967643347; 991785210; 41628395; 811269757; 112110108; 313734534; 123102146; 250927085; 89790003; -1; 524285581; 663794464; 844852143; 144974634; 218900192; -1; -1; 204169110; 842726938; 473219088; -1; 708380954; 666290719; -1; 451204658; -1; 223104860; 532416787; 547919115; -1; 298232015; 755951687; 191168375; 190360325; 307997790; 639380072; 664104989; 249996118; -1; 872038057; 112263646; -1; -1; -1; -1; 472705527; 238599899; 576151531; 238761352; -1; 265488252; 182254987; 515171789; 13242509; 226084384; 995608639; -1; -1; 788991943; -1; 500797227; 682622045; -1; 861088328; -1; 603438596; 252381010; 729670394; 127301820; 781467625; -1; -1; 524794024; 404193412; 695437361; -1; -1; -1; 40838246; 105406113; -1; -1; 258214184; 915540925; 520110219; 997894712; -1; 176799201; 280095810; -1; 458739428; 759200920; 271817710; -1; 179454525; -1; 532163047; 724245567; 560966351; 254603491; 362162945; -1; 343055980; -1; 328904253; -1; 874603339; -1; 211211695; -1; 669558492; 642552231; -1; 728884850; 450857204; 417358684; 87481304; 291805854; -1; 887410626; 395218933; -1; 147378590; 495414714; 403356942; 193249194; 666656208; 503989135; -1; 377253965; 259150603; 578205447; 585871631; 344905473; 873621838; -1; -1; 639256907; 683160005; 921282561; -1; 200529621; 540674808; 630947781; 370806318; 899230628; 982250492; -1; -1; 552543515; -1; 102711621; -1; 166873926; -1; -1; 160873081; 399660907; -1; -1; 861068597; -1; -1; 254083389; 160316606; 587722975; 683257616; 598815164; -1; -1; -1; 221856200; 712850983; 850642794; -1; -1; 918584637; -1; 93580523; -1; -1; 529704807; 265247286; 984274600; 726095829; -1; 660497401; 966091404; 444729017; 365367481; 901559346; 834401561; -1; -1; -1; 247554466; 52809804; -1; -1; -1; 704759590; 98712504; -1; -1; -1; 763869738; 235561982; 486598552; -1; 249569688; -1; 910039393; 197789404; 540548282; 477950920; 444255761; 871097711; 357966549; 984338358; 724677452; 366879872; -1; -1; 489565323; -1; 517613361; -1; -1; 288595785; 156861795; 999781093; 984909913; 984170955; 485947593; -1; 360999710; -1; -1; 377274576; -1; -1; 48143080; 624793326; 646483703; 966699571; 674857924; -1; 937372968; 74965396; 367617341; 290010716; -1; 48697363; -1; -1; -1; 203164419; -1; -1; -1; 954528084; -1; 128328417; -1; 62896282; 887327115; 459255209; 116068050; -1; 888486183; 593694480; 130011083; -1; 30577349; 202988121; 582553402; -1; 559851034; 190256353; 483605105; 533080270; 469992961; 920417313; 710840522; -1; 916031222; 697360667; 962764146; -1; 687491523; 509502135; 991968626; -1; -1; 659233585; 834674847; 917282254; 18142301; 347704535; 892407455; -1; 257204944; 571448586; -1; -1; 998324185; 35302953; -1; -1; -1; -1; 159643972; 449830318; 119190047; 871894324; 861002052; 34910836; 90366802; 11539348; 184070046; -1; -1; 261277275; 38522602; -1; 899046629; 656232092; -1; 349824251; 2575525; 677637207; 732628033; 974847345; -1; -1; -1; 447674586; -1; 122588256; 419281441; 88639939; 903589805; -1; 574774169; -1; 760502037; 897475452; 936847136; 38942069; -1; 152784074; 454954965; 694568446; 81877242; 930744372; 750556936; 671671935; 448603541; -1; 753254429; -1; 996291772; 276302480; -1; 835829478; 523829743; -1; 657583306; -1; 112782515; 465621961; 85791419; 248092380; 492798694; 543511830; 818007423; 457003130; -1; 745554177; 541513018; 696563585; 385557704; 560149300; -1; -1; -1; 256462538; 344579904; -1; 271970831; -1; 616024703; 401665004; 216330466; 561263491; 776567218; 943754519; 794037923; -1; 927204309; 389296578; -1; -1; -1; 553395181; 714137652; -1; 850374759; 799080985; -1; 543676147; 302402327; 571354860; 671016085; 216441061; 924005338; -1; 79658763; 646162753; -1; 128551808; -1; 408469212; -1; 821889213; 179399230; -1; 454070162; 878199783; 112678109; -1; -1; 976488551; 798742766; -1; 318552002; 606211232; -1; 802773380; 795447914; 230789560; -1; 862751285; 671830966; -1; -1; 539502714; -1; -1; 310639469; -1; -1; -1; 53349043; 594385523; 769825909; -1; -1; 164021429; -1; -1; 944629892; 328008233; 909955675; 896351135; 542862151; -1; -1; -1; 557549756; 275629781; 770425960; -1; 767281983; 154650757; 281366352; 774069841; 928200826; -1; 792788376; -1; 874634136; -1; 956864839; 30800504; 909007406; 851788264; -1; -1; 398873043; 379643782; 684648060; -1; -1; 319297676; 621991054; 294177110; 697968686; 705743450; 378223157; -1; 386228781; -1; 848755451; 777042692; 843460560; 381831043; 146825336; -1; 895323751; -1; 518440962; 361830661; -1; 722155572; 499036833; -1; 713937192; -1; 570704822; 260585846; 202560153; 663953927; 84109685; 711745352; 566621483; 854619062; 738456702; 498958893; 681610203; -1; 963935878; 51268742; -1; -1; 479674434; 263397553; 652272981; 619483134; 893862229; 819551408; 335326937; -1; -1; 293640193; 597476506; 727611032; 235137048; 717763547; 308386130; 979647598; -1; 867699302; 524852289; 174176354; -1; -1; 155464461; 410437602; 138073902; 695676124; -1; 537242490; -1; 812076683; 831190969; 766911331; 28657554; 742949158; 113873713; 710609651; 366007210; 749011593; -1; 441283483; 238401311; 763385204; -1; 875353409; 214753496; 227981940; 100638893; 974533131; -1; -1; 688635341; -1; 840949086; 95473545; -1; 991135387; 852616326; 102786721; 955502874; -1; -1; 341278929; 719470835; 327674256; 382541213; 277881618; 342879646; 402881939; 240778149; 15814260; -1; -1; -1; -1; -1; 575786644; 185850672; -1; 34740852; 233244352; 106318913; -1; 72501834; -1; 418685157; 354713845; -1; 406909380; -1; -1; 48362483; 616181640; -1; -1; 917798029; 525581204; 940973352; 131240773; 455326768; -1; 862348037; 985636872; 111211751; -1; -1; 702385889; -1; -1; 178677365; 117906348; -1; -1; 556221211; 495121810; 604657715; 112345447; 810590588; 281750997; 677913910; 499026340; 67776247; 951302050; 866246281; -1; 405012473; -1; 894664477; -1; 255587683; 284764929; 649279884; -1; 476697941; 468014117; 151527391; 468541837; 745656838; 809997493; 258098403; 57063396; 269313462; 461260068; -1; 764902286; 443623947; -1; -1; 646661602; 107550707; 110535679; -1; 251553486; -1; 170431747; 41033666; -1; 619307155; 523535558; -1; -1; 721491946; 504457036; -1; -1; 481918942; 55800704; 202337138; 433484233; 342019157; 222219338; 466089710; -1; -1; 971579429; 42777972; 454416956; -1; 843643305; 92923027; -1; 953027731; -1; 83067595; 69197060; 468170194; -1; 564559493; 892298596; -1; 149082264; 579452615; -1; -1; 157104096; -1; 484096202; 42012411; 772198784; 916919615; 581995822; 827788670; -1; 546195744; 756639981; 179579961; 454355511; 321302342; -1; 958877227; -1; 127816942; 817411238; -1; -1; 660098315; 547787524; 924938310; 578240485; 873708955; 356497942; 373299731; -1; -1; 503633290; -1; 240203871; -1; 839476048; 776308698; 54704220; -1; -1; 174387042; 305001033; 25101737; 240125234; 989318751; 112696620; -1; -1; 164085794; 357566163; -1; -1; -1; -1; 68548194; -1; 54441193; -1; 490712073; 400387624; 406736207; 942364868; -1; 922865895; 83187440; 639040480; -1; 126681175; 720226795; 856467969; 498110351; 299037281; -1; 153855350; 384299492; 238611385; -1; 295502199; 780020221; 736823752; -1; -1; 63228326; 924675417; 651006760; 716819504; 8834850; -1; 280434587; 851953396; 258784187; 416413810; 967777338; -1; 736987138; -1; -1; 722654610; 337728512; 187187644; 620019783; -1; 894771318; -1; 780860750; -1; -1; 678031238; 564100155; 764610479; 749820414; 30364695; 288963205; -1; 310957422; -1; 871075012; -1; 501450229; 516181491; -1; 26214838; 576340752; 844956216; 465378406; 560672937; 186871447; 212683072; -1; 710144192; 80416168; -1; 686408028; 287392643; 608300146; 823509192; 987170677; 169570750; 389244060; -1; 397506238; 717995591; 621223012; -1; 730979097; 879143862; 303619236; 908918259; 962735894; 38707192; 319339063; 394273358; 409955539; 916374817; 553003541; -1; 928485666; -1; 308379232; 926648069; 297133076; -1; 153116820; 188686786; 746631224; 238128619; -1; 158605228; 765320105; -1; 854166670; -1; 486015367; 426389786; 776468380; 280131594; 185843383; 271051172; 613092900; 777360878; 289605266; 274653550; -1; 136620133; 411139592; 24936502; 454224353; 581685740; 699512411; 933497510; 159018602; -1; 132467976; -1; 384565236; -1; -1; 903801609; 135671914; 446545905; 251997802; 772561474; -1; 132255029; 392227960; 414217586; 171370922; 593121460; 576098022; -1; -1; 25125959; 453599674; 495798339; 76194446; 380266361; 610103531; -1; 855550232; 4093346; 334104581; -1; -1; 594764393; -1; 473643051; 765589650; 229294543; -1; 893304367; -1; 922665900; 511414927; 568423109; 364125986; -1; 509933976; 700424302; 197129332; 918443261; 54608337; 34730834; -1; -1; 95654491; -1; 872826440; -1; 624146840; 166424798; 968507769; 527478633; -1; 964581152; 263299573; 315512962; 183130905; 638155637; -1; 974480486; 687410660; 346517740; -1; 853974390; 674045826; 998159594; 146033627; 958733439; 403187363; -1; 7852763; -1; 109856899; -1; 161188415; 101833977; 74525; 941566353; -1; 253881968; -1; 52429699; 499798874; -1; -1; -1; 346055067; 113985500; -1; 545107985; 300628618; 465115790; 914227125; 501445512; 829329084; -1; -1; -1; -1; -1; 144849980; 965729266; -1; 82244874; -1; 29297992; 612975148; 397896129; -1; 85928456; -1; 938738697; -1; 361370286; 121213901; 5847386; 421630716; -1; 534627046; -1; 792150328; 442614072; 8085386; 942709780; 982014999; 832775708; 824295790; 644576475; -1; 249769642; 203313089; 791010905; 405360114; -1; 312890082; -1; 170039423; 344366690; -1; 355349220; -1; -1; 936145700; 887884723; 981688367; 485878010; 47423646; 407036035; 477127953; 809919962; 796009511; 557373881; 613748552; -1; -1; 903808565; 288158125; 109606371; 518096527; 246024320; -1; -1; -1; -1; 38453016; 688428920; -1; -1; 987556461; -1; -1; -1; 551412342; 818911825; 712018636; -1; 693714006; 623019263; 358941705; -1; 211133672; 791227838; -1; 463917915; 199791194; 146176243; 131197145; 6861259; 122832599; 254233923; 837852140; 309042657; -1; 566308859; -1; -1; 372838943; 251978271; -1; 216942305; -1; 933372019; -1; 183932981; 772604737; 908342759; -1; 279802472; 926901703; 699952034; 44409914; 179711043; 880139216; -1; -1; 613230349; 292531557; 460937240; -1; 643796253; -1; 862742662; 550314511; 797440787; 511805899; 30546739; 31480473; -1; -1; 916965575; 645730183; -1; 775496041; -1; 545725449; 144242281; 56411079; -1; 397517529; 39429157; -1; 750738887; -1; 792580019; -1; 48776670; -1; 715730532; -1; 929164700; -1; 370462699; 577342309; 296709198; 798510130; 457438152; 935513798; 409349971; -1; -1; -1; 304406909; -1; 563830311; -1; 187909131; -1; 940267619; 761749883; 187858176; 562354762; -1; 146086714; 370652586; 733688497; 446247149; 254684054; 581892424; -1; -1; -1; 794180869; 475530499; 246224521; 598584321; -1; 54869157; 829252461; 913518874; -1; 766025983; -1; 866119716; -1; 791372519; -1; -1; -1; 450234661; -1; 7621939; 476495445; 574045111; 292820561; -1; 697840351; -1; 373922270; 510834418; -1; -1; -1; 76383209; -1; 218701087; -1; 226098674; 110585740; 261561463; 571087857; -1; 143966372; 240120430; 378631945; 454794554; 424457952; -1; 137366440; 316497467; 839132201; -1; 857553893; 993459066; 365516574; -1; 750929149; -1; 641532752; 660757970; 365989331; 879040578; 476141143; 450680786; 899707649; 185158409; 894300074; 96164274; 158478868; 619356754; 924041892; 311288235; 675033044; 758883925; 888534243; 923489417; -1; 452757200; -1; 702549027; 657356053; -1; -1; 440082436; 908737381; 327968846; -1; 646614947; 205384609; -1; 153302864; 264663871; 556147216; 580387575; 831244683; -1; -1; 556772586; -1; 660165229; -1; -1; 991070669; 666522182; 898967135; 672553430; -1; -1; -1; 78551881; -1; -1; -1; -1; 128356073; 62186164; -1; 533456218; 391443005; 787655743; 185075192; 103344069; 894511173; -1; 721371381; 963700762; 593904040; 948883080; -1; 897807851; 47270914; 558834576; -1; 454928900; 801818862; 35547395; -1; 184963684; -1; 618272794; 2994905; 161145546; -1; -1; 116955914; 482130443; -1; 903590827; -1; 879371146; 444589646; 417914335; 847668942; 107121536; -1; 152172490; 935893516; -1; 625611190; 261209238; -1; 234739957; 67327774; -1; 209067203; 135763795; 403170616; 927976463; 320678611; 223000181; -1; -1; 79790514; 645868783; -1; 939068863; 276221474; 461486922; 757860356; 342948871; 888336809; 935282578; 812298068; -1; 362872453; 87864130; 96388786; -1; 653623962; 943237608; 758440324; 140705894; -1; 81443611; 263730183; 828828774; 771949856; 524803302; -1; 669195400; 428621073; 457871758; -1; 61046611; 165140018; -1; -1; 150142914; 985657813; 34023096; 330456013; 757715459; -1; 893434222; 906236695; 717617823; 595139627; 334309999; 360939174; 910674191; -1; 212070437; 120059977; 284773843; 93801877; 174490535; 795968692; -1; 44056181; 949858695; -1; 899901477; 9993021; 768673865; -1; -1; -1; 598467329; -1; -1; 152575612; 35295722; 114704105; -1; 388420360; 370666849; 183536734; 962739458; -1; 453280964; -1; 795959716; 866047869; 418477947; -1; 301487716; -1; 183808565; 515130004; 382335562; 966571689; 939428528; 976492612; 700249833; 842508514; 557249610; 631842681; -1; -1; 908793040; 265781288; 595443051; 620809660; 65395838; 873305803; -1; 33676826; 830522582; 791472874; -1; 804755594; 916260063; 781942848; 659054597; 355970217; -1; 932965731; -1; -1; -1; 614874656; 964360060; 551385241; 544878316; -1; 253475166; -1; -1; 326203679; -1; 233562809; -1; 285295950; 728495291; 98958512; 904952833; 442849652; -1; 356846216; 677254284; 43240550; 28558821; 588333562; 383428812; -1; 684796413; 140416847; 18488075; 347864614; 942008390; -1; 898494784; -1; -1; 313770110; 171623376; 466353891; -1; -1; 284350003; 324336192; -1; -1; 406918424; 721179808; 909645994; 221730991; 201343223; -1; 83076909; -1; 274230394; 450057143; 122030960; -1; 969635116; -1; 658915669; -1; 554409313; -1; -1; -1; 209859117; 360121029; -1; 827741093; -1; 543354716; 419837520; 858349767; -1; -1; 229332298; 13828963; -1; 819993976; 892674800; -1; -1; -1; 318519695; 728634678; 424452987; 701131298; -1; 547651737; 404991298; 336234361; 212198706; 566627917; 244601954; 784216327; -1; -1; -1; 458930931; -1; 365987581; 711763391; 930970607; 905893299; -1; -1; -1; 655183541; -1; 194939546; 702525517; 214579347; 513279993; -1; 267840130; 973700785; 456685636; -1; 71729470; 829620837; -1; -1; 951868889; -1; 990834199; -1; 10928431; -1; 525249085; 151047293; -1; 818191476; -1; -1; 854731625; 481462743; 741979543; 680345572; -1; -1; 269194904; 687780004; 895491207; 454360985; 609362456; 867826088; 272046177; 438772504; -1; 888528713; -1; 673874025; 528137693; -1; 899089268; -1; 898164179; 451162857; 863234990; 480965684; 861031143; 962023601; 627800254; 783730984; -1; 35021752; -1; 47357012; 900435683; 499594208; -1; -1; 178089106; -1; 388773542; 286327867; 84733935; 53081551; 820581052; 520040959; 921050807; 503488303; 614876752; -1; 185047067; -1; 792052991; 667559971; 274431828; -1; 933541412; -1; 403010084; 244973264; 943694862; 243163345; -1; 819733977; 367048680; -1; 618976886; 414006536; 962261936; 971082624; -1; -1; -1; 935565305; -1; -1; -1; 181525852; -1; 947273261; 742325648; 610009147; 316497004; -1; 34006794; -1; 710271806; 97612472; 398199557; 586658040; 300987805; 889836314; -1; -1; -1; 686326113; 875461330; 263021139; 606555624; 516777755; 126419482; 99864539; 922659674; 412915984; -1; 729212506; 939975539; 101494703; 110551476; 335365357; 232720344; 810827658; 450764221; 325678664; 402664615; 228144073; -1; 585663013; 348848193; -1; 932034975; 850893157; 872361230; 662027554; 913817878; 510114317; 88416855; 471235084; 558662077; 140744999; 220260512; 366583004; -1; 391486397; -1; -1; 353364394; -1; 458069582; -1; 521351973; 362507719; -1; 477432609; -1; -1; 882734049; 307968838; -1; 868611143; 853910387; 725056034; 214193480; 934143416; 199460824; -1; 961752157; -1; 78086689; 567982510; 668564030; -1; -1; -1; 284793529; -1; 522717504; 459768489; 770043413; 579758348; 810183181; 86446489; 734631406; 542401247; 666696983; -1; -1; 804948207; -1; 930939922; 300682653; 860422079; 278405506; 283491502; -1; 408810552; -1; 22295945; -1; 108149468; 950784179; -1; -1; -1; 866177258; 824129479; 326279006; 730454293; -1; 247299168; -1; 445652580; 189020269; 214993153; 655493598; -1; -1; 888712577; -1; -1; 992727186; 794396006; 612611968; 367162797; 208772475; 278468212; 653258828; 860332045; -1; 890260928; 907955201; 821639828; -1; 801666270; 917935254; 833436505; -1; 311843774; -1; -1; 571199292; -1; 849684176; -1; 125336901; 249327578; 974352299; 500932355; 182306518; 813798251; 456619489; -1; -1; -1; 365532533; 716244044; 205064243; 4350464; -1; 282884779; 908737266; -1; -1; -1; -1; 149126681; 142043684; 480162948; -1; 798324230; -1; 362241721; 20089937; 462262030; -1; 622245003; -1; 933451713; 184308384; 814078501; -1; 495671993; 456856426; -1; 252061041; 987196973; 802732689; 193820495; 709918116; 920925130; -1; 822369901; 904976459; 646376181; -1; 568557490; 447582373; -1; 661307273; 863254481; -1; 241997336; -1; 911883306; 125769191; -1; -1; -1; -1; 665617992; 332551070; -1; 971735081; -1; 249699296; 517036152; 302114882; 579532723; -1; 124309923; 39320077; 234495338; 406749803; 879009773; 283365508; 385228090; 327873715; 376754324; 413779638; 793011768; 954757435; 27039156; 905119916; 397783583; -1; -1; 92037673; 565006326; 848887311; 562527484; 307440265; 691030581; 73395703; 729473197; 642212010; -1; 389364072; 675282797; 590875127; -1; -1; -1; -1; 659962708; 851680044; 30014828; -1; 792319570; 917919811; 870391083; 230471499; 851972322; 238648539; 645545148; 599647828; 90425063; 528577648; 539573770; 584637127; -1; -1; 740240289; 481936737; 986383655; -1; 988598795; 143104285; 138097272; 479327576; -1; 203112344; 768000036; 731748940; -1; 986092811; 420667175; -1; 61792057; 312720982; -1; -1; -1; 210520990; -1; 499751531; 737844480; 729302825; 393982312; 596200119; -1; 396157081; 720852163; 65264993; 847183403; 275158489; 370876079; 978976204; 169768519; 946868032; 467151320; 441885072; 465874704; 478916677; 74534422; 844452962; 79397104; -1; 326962029; 193641523; 260632971; -1; 429830458; 139986423; 569312034; 667899268; 217972697; -1; 984329054; 224728582; 526261110; 898483845; 16258229; 268095135; -1; -1; 985241260; 363127008; 384347075; 430847504; -1; 111162718; 617707578; 656346560; 48808603; -1; 212335430; 336574442; -1; 465393511; -1; 234617803; 340408141; 55460291; -1; -1; 161204620; -1; 665824231; 858325890; -1; -1; 115876309; 506960118; -1; -1; 391443836; 450902652; -1; 882071084; 182945681; -1; -1; -1; 428868892; 547753738; 97564537; -1; -1; 875268576; -1; 397654064; 99928801; 721504871; -1; 266258608; 149896668; 44246537; 102517032; -1; 263678473; -1; 510451433; 767814901; 598610548; 866452044; 814238040; 849178906; 1370356; 189652049; 750503379; 149693099; 299275906; -1; 975477144; 22386403; 702171508; -1; -1; 503382765; 586244249; -1; -1; 687400449; -1; 54837206; 847823168; -1; -1; 47772189; 286050805; 708291380; -1; 29401428; 358899144; 792672804; -1; -1; -1; 122739651; 275628192; -1; 133471963; 394829351; 987914632; 393935581; -1; 884999042; -1; 656282157; -1; 96682605; 308785268; 555760521; -1; 433329775; -1; 618175426; 322589061; -1; 793158874; -1; -1; 484736146; 424188409; -1; 319466504; 26504135; 777822364; 277125755; -1; 443140352; -1; -1; 957042387; -1; 69199061; 377839850; 172040508; 902863225; -1; 189907913; -1; -1; 91110012; -1; 446956112; 667926713; 677336891; 124022621; 271629150; -1; 158442278; 912116277; -1; 211320803; -1; 617346856; 909780373; 423150061; 989790302; 238862011; -1; 850295310; 746207487; 25841795; -1; 877384288; -1; 568997564; 773699549; 471412301; 638816867; -1; 593187193; 291007649; 462755977; 27720395; 87077980; 844570305; 950959492; 362269933; -1; 554600364; -1; 658682306; 878441907; 242847155; 657726004; 524468718; 231157859; 442249673; 525712928; 130172030; 438258290; 685917871; 726807701; 245449467; 421623290; 913925822; -1; 39463108; 652853651; 589466850; 72395374; 977474038; 900057224; -1; 296469771; 652655003; 581824550; -1; -1; 653110117; -1; -1; 409414960; 763089362; 628039030; 31235490; 774852061; 229611527; -1; 237694293; -1; -1; 772645166; 972315992; 745873278; 852220773; 675768037; 604123060; 191965453; 811532969; 84425417; 793244875; 578040569; -1; 312379441; 150298435; 616308271; -1; -1; -1; 773368125; -1; 837747064; 77268406; 648972887; 859260082; -1; 526215978; 492924615; 373206417; 275964981; 337372862; 524061897; 837659098; 920250697; 420964273; 381035330; 131858269; -1; -1; -1; -1; 924920198; 715360884; -1; 100810199; 322675032; -1; 562757010; -1; 800884387; 306010993; 495380762; -1; -1; 902256039; 590122516; 426469533; -1; 808202669; 750141163; 349724411; -1; 2207798; -1; -1; 112134512; -1; 628407085; 751419895; -1; -1; -1; 784699766; 721071222; 332039918; 729116935; 60324052; 517788021; 658015979; 730751987; 438407894; 590952111; 168447001; 32581645; 104676597; -1; 249693484; -1; 588506452; -1; 258723063; -1; 963317687; -1; 974368451; -1; -1; -1; -1; 757530344; -1; -1; 167695399; -1; 27466276; 156356659; 949308552; 351750673; 37256873; 8697195; 822196936; 76614764; 222291535; 868936013; -1; 740161186; 242433283; 687356333; 271188215; 895402732; 787625919; -1; 727111155; 468615716; 469800418; -1; -1; -1; 903100284; -1; -1; -1; 460577113; 644109251; -1; -1; 728687383; -1; 783415751; 271147254; -1; 271115426; -1; 523486821; 123570201; -1; 428542271; 440388596; 742840789; 84638420; 926512866; -1; 205472292; 174076679; 37474833; 439345776; 583757564; -1; 43911580; 715912506; 53479501; 886851339; -1; 352555584; 239000350; -1; -1; 885789035; -1; -1; 675648997; 290440657; 907886756; 540272163; -1; 426946546; 111376105; 692386540; 574506696; 948498363; -1; 309048897; 19445269; 615235036; 134887119; 486484923; 378901341; -1; -1; 169325116; -1; 11457230; 645499910; 539415844; -1; -1; -1; -1; 388299946; 73032288; 301375254; 828903948; -1; -1; -1; -1; -1; 449242243; 482068467; -1; 610108974; -1; 841431928; 870357313; 629420445; -1; 79769328; 828118271; 414697291; -1; -1; 766705659; -1; 386754158; 37214716; 601636007; 937333913; 145253709; 744964050; 409419705; 914934925; 166996819; -1; -1; 195590384; -1; -1; 54596814; -1; 935049655; -1; 38297689; 47331465; -1; 380328497; -1; 289393221; 823377273; 352982982; 102654458; 408839676; 873355326; 866116751; 59335573; -1; 443155158; 297011155; -1; 555767274; 789277079; 631994410; -1; -1; -1; 923154199; 534063834; 801553246; -1; 245445619; 14562228; -1; 379172072; 55279684; 622908451; 363058247; -1; -1; 788265981; 719859380; 71893094; -1; 612220615; 861122704; 752413459; -1; -1; 595858870; 86780527; -1; 390029847; 506075742; -1; 525977959; 37423710; 343387007; -1; 774640508; -1; 506866484; 219546497; 432639634; 444984313; 996222953; 928242438; 325242155; 54282066; 573700626; -1; 892815168; 517321283; 459705568; 939184375; 580717385; 888624040; 940814051; -1; -1; 240873061; 157135473; 649003946; 585482404; -1; 38700646; 991692768; -1; -1; -1; 777900418; 42338438; 877562960; 359752754; 81063522; 876924806; 204808761; 178847383; 177872011; 973774756; 752316300; 989739997; -1; -1; 474531671; 594363359; 133807097; 625139071; 834817988; -1; 310787534; 741623766; 408605531; -1; 546853594; 155342530; 883826251; 138128581; 626816036; -1; 713993607; -1; 811527819; -1; 284322212; 178048029; 951130143; 915909713; -1; 32123105; 831367633; -1; 844188513; -1; -1; 582189456; 153401050; 291026641; -1; 45441863; 989351232; 411613833; 954324932; 348602503; 721764060; 921405744; 517476733; 35514625; -1; 434308515; 516988590; 236341553; 437923507; 425715959; 860185907; 739005327; 821392113; 150883872; -1; -1; -1; -1; 197421541; 532005809; -1; 160642105; 851886692; -1; 574831766; -1; 942454344; -1; 13153399; 596506064; 75180468; 593644518; 501579723; 529690907; 475494877; 221918053; 331842445; -1; 914753962; 383716049; 813199191; -1; 338901310; 196658161; 878868004; 844295912; 924297014; 885188252; 453541727; -1; 268127613; -1; 350115841; 887851836; 494880954; 342613184; 343587184; -1; 41295236; -1; 915132660; 774984027; -1; 155219212; -1; 427792018; 801334149; 622680974; 978994713; 229317479; 409131358; 612531152; 152987047; 209440718; -1; -1; 188110023; 965969210; 294776670; 608874918; 417516852; 471036206; 849910629; -1; -1; -1; 954465114; -1; 754111033; -1; 832353194; 977664216; 1076655; 164609105; -1; 517883165; 394869474; 395378503; -1; -1; -1; 890127467; 180214880; 406897719; 584956757; 103298044; 163402304; -1; -1; -1; -1; 622695498; 195266082; -1; 924543659; -1; 162678578; -1; 617435547; -1; 774350247; 651955092; 333975853; 40398123; 467917577; 330791071; 735480746; 10460842; 972684260; -1; 142937527; 316622982; 303989000; 205067784; 148520165; 26728329; 875938943; -1; 675730947; 395196068; 984876629; 663928051; 737459952; -1; 348131961; 84909051; 535462450; 581237356; -1; -1; 183490800; 111315346; -1; 935915168; -1; 686105526; 160007209; 233378567; -1; -1; 157960751; -1; 454629550; 69819857; -1; -1; 957325671; 825947451; -1; 165958697; -1; 218731828; -1; 141856793; -1; -1; 983698409; -1; -1; 377504092; 83727294; 466332194; -1; -1; -1; 440716797; -1; 318454057; 43447001; -1; 107806370; 508865843; 572728748; 960564880; -1; 248351166; 109571187; 801037173; -1; 882457439; 931395880; -1; 4836039; -1; 509256740; 685685438; 827478208; -1; 89777544; 940746089; -1; 775875672; 62308195; 787900586; 960653837; 345669289; -1; 522042706; 898515491; -1; 843135002; -1; 338603434; 523684997; 101141935; -1; -1; -1; -1; -1; 231795962; -1; -1; 655701430; 756199619; -1; 30604585; 308661431; -1; 676847193; 416701347; -1; 876308192; 383712718; -1; 303397058; 967045131; 860823011; -1; 998442005; 292223943; 412773998; -1; 33959035; 117708257; 781420909; 904395468; -1; -1; -1; 967388805; 951918223; 584171305; 245958935; -1; 461878531; -1; -1; 429456282; 983084265; 141434038; 836392864; 521225582; 201164500; 353639657; -1; -1; 704862204; -1; 726302681; 67337483; -1; 347836703; 746590008; 950709939; 125827188; 46407991; 54424838; -1; 852770416; 929295356; 696720773; 388226124; 599876674; 613531882; 957747425; 633098527; 599278534; 516125920; -1; -1; 699905150; 870210041; 867148137; 849587572; 179521166; -1; 819760823; -1; 687887974; 151083853; 802574230; 287282022; 440647064; 229861535; 167899849; -1; 10114058; 80299687; -1; 901388469; 777208147; -1; -1; -1; 674602739; -1; 531056502; -1; -1; 731313989; 846429441; 971446775; 344089835; 38232531; 572001253; 405000445; 900322579; 117440321; -1; 553092823; -1; -1; 380313257; 652136114; -1; -1; -1; -1; -1; 64757228; 10815135; -1; 362057911; -1; 970242482; 383472103; -1; -1; 441649829; 644374927; 741277061; -1; -1; -1; 944903355; 696855485; 429153313; -1; -1; 520892500; 311051984; 370715919; -1; 410739399; 453689252; 197310797; 64955140; 516543389; -1; 752422172; 584424926; 357036124; -1; -1; 550758710; -1; 291383402; 816401856; -1; 447084353; -1; -1; 410250603; 785601335; 81730202; 186629723; 606064429; 528321749; 377723179; -1; 407293918; 826902264; -1; -1; -1; 239060642; -1; 129673544; 832575194; -1; 82769560; 417179906; -1; 795091046; -1; 144974904; 844915704; -1; 314396739; 455152217; -1; 439747557; 112261058; 749231938; 242612786; 956375211; -1; 697628480; 48642742; -1; -1; -1; 277001578; 640062724; 396793848; 647520301; 758171479; 570300877; 844717951; 900923823; 560199215; 407525446; 253405058; -1; -1; -1; 740548676; -1; 407496348; 794473190; 355069154; 35937936; 795769645; 974576755; -1; -1; 231976592; 676652531; 29327352; 52581308; 304533889; -1; 390548427; 248897130; 642041294; 740823007; -1; 280801752; -1; -1; -1; 303062799; 736788210; 161495387; 803161916; 589149519; -1; -1; 428847507; -1; 787204380; -1; 443371805; 205774996; 828769645; 553287818; -1; 257761659; -1; 357261844; 185103745; -1; -1; 74397631; -1; 498949041; -1; 331741160; -1; 591126975; 681072474; -1; 220413166; 88885050; -1; 568429197; 37654239; 374354361; 373295652; 41634720; 749686448; 980375321; 624217370; -1; 468026284; -1; 455499995; 625806533; -1; 950061275; 597958902; -1; 200928444; 202314924; 479677053; 84264290; -1; 253361559; 151314995; -1; 347287091; 525679539; 834248312; -1; 717835191; 23219952; 683386012; 593031437; 538750360; -1; -1; 654999414; 157801673; 725489765; 620565834; -1; 910922821; 331608630; -1; 870328237; 178955727; 788338212; -1; -1; 218349642; 614686067; 613918606; 458103666; -1; -1; 565289868; 436729517; 355420847; 959718409; -1; 414854136; 390794337; 430825885; 160658; 616510357; -1; 511846161; 140099878; 410272522; 218449623; 520027572; 886707213; 713921052; 23244216; 571733838; 646494032; 260881867; -1; 394849197; 964705139; 46424228; 816859916; 801584744; 525578520; 245007841; 269650177; 422978084; 8020595; 339484599; 959545944; 478818381; -1; 837171645; 17705430; 546424264; -1; 442616681; 872429888; -1; -1; 22299515; 574891728; 424099701; 901090466; -1; 121993872; 645383410; -1; 861339441; -1; -1; 49086123; 113768303; 968048332; -1; 132926373; 142025141; 132250157; 961224394; -1; 824785822; 814369710; 780803365; 739860910; 454332231; 671498494; 153092620; 548425969; -1; 470868579; -1; 46031068; -1; -1; 865609126; 920724966; 781867953; 671208006; 45440021; -1; 208075271; 204901344; 486805707; 501206966; 125219484; -1; 349567859; 613798846; -1; -1; 323842954; 476310834; 798570892; 725959483; -1; 977350377; 108729270; -1; 478537823; 86607394; -1; 911185680; 869547211; 962485635; 148154531; 146257126; 945168882; 829130551; -1; 346343548; 945171098; -1; -1; -1; 896723696; 607258343; -1; 7220789; 922461975; 624512917; 118488781; -1; 156293866; 580671981; 84560207; 380498713; -1; -1; 727368610; 378262248; 239949188; 456542319; 860777281; 720490675; 679495732; 420962877; 771673035; -1; -1; -1; -1; 824048978; 761117726; 928494350; -1; 645776231; 3605148; 533445205; 23049934; 456200477; 928735944; 183473438; -1; 539404550; 608130329; -1; 854347254; -1; 227700070; 776220724; 838464335; 60385908; 406881744; 33076814; 350602737; 357696931; 635201127; 744720900; 754170094; 597225557; 738059698; 942531205; 6496527; 129945274; -1; 164412624; -1; 151208569; -1; 24777553; 296825775; -1; -1; 333322608; -1; -1; 695035808; 494683066; 657834752; -1; 843148412; 559470351; 553799186; -1; 877173575; 107828006; 490991865; 761018722; 821946646; 910018943; 207560996; -1; -1; 788672012; 115786851; 21921534; -1; 30542; 827687335; 974079585; -1; -1; -1; 775422383; 218273393; 708693538; 729720114; 470139255; -1; 793860601; -1; 15698659; -1; 665558331; 262333177; 271144908; 318737139; 993417149; 599865692; -1; 223965035; 501444487; 37727299; 123700688; 820367741; 317724129; 194681356; 814147562; 571893027; -1; 164250943; -1; -1; 735609473; 881715318; 983860914; -1; -1; 853037590; 138121034; 729530457; 979750279; -1; -1; 676999854; -1; 452818622; 216898543; -1; 447829138; 309146846; 736394022; -1; -1; 642281810; -1; -1; -1; 650489394; 460569890; 210847161; 970049512; 166131391; -1; -1; 435455129; -1; 788571325; -1; -1; -1; 453374025; 567950738; 358314538; 647098701; 28434087; 185667936; -1; -1; -1; -1; 593354120; -1; 951924721; -1; -1; 355557310; 662346844; -1; -1; 548547264; -1; 635405986; 68580983; 300483081; -1; -1; -1; 99319130; 410314503; 220715468; 730588542; 586000552; -1; 940487911; -1; -1; 834597568; -1; 621988259; 171894204; 135555272; 702914711; -1; -1; -1; 509477145; 683171134; 66691212; 658907355; -1; 11298837; 364661712; 406392663; 990916304; -1; 636389579; -1; 733391483; -1; 221692315; 482155485; -1; 276586033; -1; 947355114; -1; -1; 138172965; 986301708; 578187886; -1; 744942976; 357985927; -1; -1; -1; 847223831; -1; -1; 499905033; 177550850; 78938726; 982552709; 733665581; 833474418; -1; 276022463; -1; 176013180; -1; -1; 193341841; -1; 114073684; 361084679; 942869993; 719159991; -1; 207374014; 16991991; 461647865; 483488868; 10484590; 262201815; 56322248; 174591289; 734912665; -1; 126288184; -1; 230907821; 797665573; 821606370; 383579966; 495702087; 899397177; 617373639; 816623809; 503118722; 223184467; 559438010; 162801469; -1; 378101191; 307541617; 902524816; 28512789; 984122991; 852567655; 150199701; 453914914; 867545613; 914606078; 784836408; 748445504; 736938288; -1; 227193863; 773412510; 562102181; 881333643; 920819653; 268662897; -1; -1; -1; -1; -1; -1; 787993647; 572471408; 111534199; -1; 356495237; -1; 244123690; -1; 339272761; 459213821; 732075515; 192878273; 621400941; 985987173; -1; 8452800; -1; 981308800; 368164459; -1; -1; 727046809; -1; 955454750; 333108391; 601468664; 110333915; 464213071; 462346304; 20216021; 123543434; 253950602; 746640422; 381039212; 578289757; 563301585; 640590397; -1; 370695018; -1; -1; -1; 802471155; 545215228; 821914704; 676859303; 399970595; 349875244; 550845554; 642955142; 658992599; -1; 741998173; 778283299; -1; 382651258; -1; -1; -1; 225675555; 685157893; 468214628; 647101316; 749790383; 654635342; 260131584; 341473874; -1; -1; -1; 616538315; -1; -1; 643321334; 267536015; 489966136; -1; 408950351; 692702476; 896012433; 38462760; -1; 71909058; 597533074; -1; 328541242; 431382543; -1; -1; 560285965; 734143770; -1; 221570424; -1; 139534872; -1; 245288297; -1; 307538820; 573997892; -1; 228121578; 721648546; 934399125; -1; -1; -1; 601640096; 382299588; 234612104; 673837299; 998900762; 476312812; 435763737; 387110187; 782468452; -1; 921519200; 982713378; 156795733; -1; 922682681; 588120703; 548649082; -1; -1; 757692117; 412260598; 594911889; 451372855; -1; 751408470; 544671055; -1; -1; 631895154; -1; 156661679; 853168283; 494434485; 869039825; 655461491; -1; 625981566; 56408463; 62350957; -1; -1; 804861130; 563260675; -1; 985334159; 977887995; 243588319; 887349938; 147290841; 323841739; 757613029; 843109536; 558071499; -1; -1; -1; 317944624; -1; 49089491; 608333017; -1; 346487745; 977188945; -1; 85886148; -1; 400110522; -1; 914909915; 360103024; 286340464; 510342987; 96463465; 187652901; 859720288; 642829026; 893170112; 322762511; -1; 337823585; 339693512; 527432097; 185947934; 569547698; 531101290; 907671067; -1; 988202254; -1; 482850438; 531947040; 291601813; 753367292; -1; -1; 306950948; 207861766; -1; -1; -1; 103772800; 457667664; 996584023; 934244550; 657002109; -1; 721467731; 332973383; 666585508; 987794621; 597046557; -1; -1; 713073106; -1; 177300927; 487540195; 457302695; -1; 425682472; 173256634; 199006074; 615071764; 444610733; 207826020; 392589184; -1; 347939708; 976095838; -1; -1; 975032012; 346336914; -1; -1; -1; 287148676; 324991822; 520673367; 331840294; -1; -1; 649202558; -1; -1; 616799456; 86871010; 660099778; 457089135; 800710897; 400874249; 887969982; 444217324; 521432609; 640720604; 296049154; -1; 461595871; -1; -1; 887426619; -1; -1; 668590111; -1; 283501144; 379587108; 893281108; 890498034; -1; -1; 659747546; 775567589; 418430527; 319222995; -1; 598430992; 686607608; 600853313; 842087204; 421263392; 387102854; 860001216; 462322639; 926018482; -1; 328387784; -1; -1; 465636844; 972009588; -1; 504056650; 632306443; -1; 414219834; -1; 793141920; 739534021; -1; 971984928; 324644497; 688051436; 591031385; -1; 255651476; 505619235; 838576329; 985053244; 233513149; 456246755; 261419583; 607891747; 76841696; 786715029; 507261573; 411625924; -1; -1; 604216411; 341555174; 685109201; 666298134; 275829006; 617927317; 811122952; -1; 83099152; 364365500; 50387703; 208008307; -1; 513998203; 432927899; 687181269; 204266749; 184490230; 230135168; -1; 515503568; 19222486; 727362392; 866269759; 13943765; 106455930; 604781540; 2306021; 571356343; -1; 639293008; 590401369; -1; 42144392; 823697447; 314429061; 509365244; 418115696; 868298521; 124417812; -1; 801053153; 991812482; 106589614; 956109267; 487749962; 254354975; 674928796; -1; 923033533; 637798263; 567940499; -1; 293336211; 403487484; 254272329; 890743708; 901712429; 187498431; 794197626; 507075081; -1; 349987585; 96042120; 654771126; -1; 593810423; -1; -1; 373728771; 219495011; 511261509; 130287758; 756058778; -1; -1; 477966901; 499018759; -1; -1; 249157794; 302042082; -1; -1; 784064820; -1; 944471210; 443352892; 262126744; 396440001; 20563515; 136422129; -1; 25561183; 555829553; 142860686; -1; 263448232; 124375397; 979441495; -1; 983510880; 726341282; -1; -1; 903878138; 582104749; 686527206; 961608357; -1; -1; 366878337; 179407932; 966825960; 159271074; -1; 495400633; 335183692; -1; 446600339; 598278644; 896059000; 17914758; 131745022; -1; 68694666; 53449463; 113350214; -1; 2000557; -1; -1; 314893743; -1; -1; 157203207; 48957006; 377495457; 170120369; 627297074; 987356902; 317506392; 10873799; 969186771; -1; 979451654; 203447652; 33486763; 224699038; 775604908; 122640735; 622511256; 17938063; 46166545; -1; 107962429; 399963376; -1; -1; -1; 4945483; 389932131; 962405292; -1; -1; 583881412; 456006430; 546370346; 326232547; 509512969; 13001188; 641989320; 409000565; -1; 632904478; 788604484; 498698203; 701597050; -1; 505673035; -1; -1; -1; 274650307; -1; 923415975; -1; -1; 562904176; -1; 47257071; 343367749; 329905683; -1; -1; 232082455; 295775531; -1; 997051959; 739549795; 318079861; 922138672; 996794468; 676580360; 557950159; 962136543; 471843557; -1; -1; -1; 323328990; -1; -1; 163316160; -1; 259374943; 924795420; -1; -1; 696816325; 192720082; 988566627; 300470509; 183777182; 324768060; -1; 510420849; -1; 899439596; 652690473; 3361485; -1; 773824047; 721579430; -1; -1; 817547509; 403594213; -1; -1; 441206102; 192603630; -1; -1; -1; 664445365; 347763558; 363735969; 277245871; 646698525; -1; 159774623; -1; -1; 307493769; 930413508; 777550876; 822520759; 505977601; 922962706; -1; 280663197; 534439917; 406403403; 128999306; 517047815; 131599202; 646476624; 843794737; -1; 57135735; 729184126; 195684323; -1; 944378748; 285635278; 714373323; 69705322; 73904996; -1; 535782345; -1; 242837641; 389332751; 372972647; 454429907; 487553718; 596787798; 637258953; 112403967; 725845706; 331447473; 359319467; 695158733; 247791203; -1; 558428923; 634769030; -1; -1; 740484728; -1; 461069939; 508444133; 476768925; 146515275; -1; 945764281; -1; 409861170; 703233379; 449188338; -1; 254628171; 895341245; 30484909; 911956067; 614405325; 772959897; 715528805; -1; -1; 240115040; -1; -1; 783218432; -1; 901561733; 3630246; -1; -1; 597667299; 717298298; 402479809; 215604305; -1; 376124774; 78552803; 737336878; 476261673; 623444357; -1; -1; -1; 835213841; 830689861; 385324052; 375429023; 33538766; 328357178; 169052246; 38755922; 103757183; 591644933; 851980534; 285123098; 843114467; -1; 445447409; 302227855; 180519826; 843221114; 105243996; 984985482; 388103522; -1; -1; 484474223; -1; -1; -1; -1; 505102556; -1; 437416925; 507035141; -1; 347286442; 974201609; -1; -1; -1; 820134201; 603702892; 955005568; 427275169; 887692070; -1; 584336664; 848773559; 747895848; 303440481; 413740128; 28871801; 697392185; 784553589; 444074928; 945354135; 545572733; -1; 979252849; 610092316; 497577126; 936870547; -1; 971539239; -1; 109253180; -1; 570966789; -1; 331224899; -1; -1; 533368382; 906774390; 472227387; 771356113; 550310599; -1; -1; 187919112; 719763852; -1; 352720880; 843506606; 292558658; -1; 709778344; 338276422; 551820261; 361736217; 59887047; -1; 805936963; 577256853; 697589027; 480234214; 438336734; 145036961; 556640137; -1; -1; -1; 797630957; 581443226; -1; -1; 954810317; 988565863; 825334475; 584350674; -1; 950817643; 900019001; 124868262; -1; 161383426; 755979992; 639490188; -1; -1; 184037428; 249719427; 116992108; 838342275; 243299095; 25178820; 201306798; 434342115; 730650990; 239558119; 94716941; 887049160; 700018908; -1; -1; -1; 977185332; 61365033; 87313952; 226032092; 867775535; 945000117; -1; 312504208; 434286350; 218765583; 136010077; 447970677; 347887102; -1; -1; -1; 750958094; 504573131; 233894611; 830045101; -1; 180086140; 154766067; 590263854; 679305434; 195599101; -1; -1; 204617959; 123677863; 470619820; -1; 574704773; 855359592; 848400623; 613257489; 941018120; 696270709; 766558081; 100787916; 289319641; -1; -1; -1; -1; -1; 805184476; -1; 538810478; 302363950; -1; 59128518; -1; -1; 761781683; -1; 273709205; 136145626; -1; 250367206; 440679650; -1; -1; 900719777; 669340086; -1; 949469564; -1; 374186380; 126011330; 966083549; -1; 913845357; 935127664; 36117392; 679569404; 668786634; 543802688; 900742057; 363951704; 730670381; -1; 693921484; -1; -1; 964432033; 976134445; -1; 38864686; -1; 286390742; 22399728; 9091854; -1; -1; 462209786; 425808029; 750134761; 598180518; 392694117; -1; 409161976; 807282701; -1; 405956328; 48157070; 6468818; 362333786; 721334719; -1; -1; -1; -1; 760036723; 87338385; -1; 380307023; -1; 878340153; 55149310; 650029290; 860572659; 953094884; -1; 377467633; 87675466; -1; 905390623; 268126127; 597170007; 712344; 430423087; 725675226; -1; 639940099; 271716570; 399552061; 229057377; -1; 596660733; 11545624; 854474733; 346500569; 103165770; -1; 162729245; 13522187; 981006263; -1; -1; -1; 914260835; 945466715; 654311901; -1; 738085150; 555566158; 671788759; 345659875; -1; -1; -1; 839281577; 530258666; 722592589; 255782755; -1; 505888281; 103029136; 954529843; 43469840; 434328868; -1; 838433286; 254542722; 768144810; -1; 882300255; 434329565; 150208521; -1; 599276650; -1; 258661155; 604017383; 429859170; 645906550; 285770185; 5032542; 721468542; 529720600; -1; 642853727; 226339340; -1; 715134186; -1; 426605025; 470538569; -1; -1; 994334466; 496884139; 579791804; 454571352; -1; 305322306; 997941855; -1; 511117211; -1; 631610238; 564467341; 940784787; -1; -1; -1; 131106565; -1; 289133537; -1; 580461618; 407851510; 208841966; 189576288; 516303393; 464683493; 330417187; -1; 235624508; 280507327; 859150296; 435781218; 978990235; 429424575; -1; -1; 960448012; 809651679; 784848366; 919194124; 744161249; 300569556; 315466879; 401957667; 924038248; 258470189; -1; 768825433; 575806525; 201971261; 189570813; -1; 794203805; -1; 177597089; 340662423; 512586044; 474819464; 138838019; 762897095; -1; -1; 925513246; 399869929; 865672080; 936382966; 806172826; 548080537; -1; -1; 387978801; 49205667; 393979350; 42666235; 834879824; -1; 438658836; -1; 468496196; 847810771; 850993107; 588819588; 749262036; -1; -1; 272387950; 64037163; 222775214; 833081771; -1; 847322955; 969200492; 832375308; 235613574; -1; 918848911; 950315663; 14370095; 103421671; 653162602; -1; 374602906; 167385293; -1; 338870976; 788047533; 169293146; 622914126; 486037792; 856380242; 748186867; 349536913; -1; -1; 416096506; 24972635; 968435968; 308290021; -1; 565121705; 136882642; 107990916; 477905853; 515238735; 335127307; 489768357; 540406112; -1; 265699587; -1; -1; -1; -1; 371750318; 876008135; 422253090; -1; 924953631; -1; 467662199; 522100007; 121395687; 896191481; 889722151; 773385968; 28763822; 675314313; 509374608; 375357632; 455817699; 323955760; -1; 579915999; -1; 124590812; 781720958; 872068036; -1; 379320798; -1; 655078341; -1; 991205198; 745564607; -1; -1; 677938796; -1; 363131724; -1; -1; 628322794; 153907834; 914461268; -1; -1; -1; -1; -1; 316437846; 548547244; -1; -1; 465173992; -1; 771342275; -1; 125745251; 906636643; 441624750; 636783058; 643916237; 250690043; 701996799; 251167771; -1; -1; 744950585; 871627660; -1; 824972302; 15762486; -1; 111071391; -1; 541879954; 727473867; 723776421; 588049638; -1; 918532155; 320323425; 637359447; 174666901; 269758024; 261988448; -1; 983064605; -1; 802946217; 168642153; -1; -1; 433845916; 376273241; -1; 387621599; 177309319; -1; 324917779; 182927078; 745281265; 414507817; 383570022; 31286925; 731257217; 228833745; 653497853; 949088179; 673278282; 259776718; 822343775; 163503179; -1; 551874544; 482357836; -1; 282744080; -1; 478548255; -1; 419541666; 375913863; 372277399; -1; 675300528; -1; 743736292; 622247017; 252285945; 971882171; -1; 150424342; 422317108; 199076508; 507085613; -1; 169034667; 684772719; 959493580; -1; 851573207; 198578852; -1; 894465340; -1; 774303872; -1; -1; 545600154; 766634378; 324672478; 221256409; 76767918; 104139173; 225467198; 689227732; -1; 427047169; 743197507; 437103794; -1; 984989784; -1; 993324685; 756327037; -1; 669619665; 743746550; -1; 202669832; 886274260; 807549400; 533247466; 528986105; 283268316; 194921180; 784215788; 411073609; 832810187; -1; -1; 998449928; -1; 831885724; 948513595; 847803707; 387958553; 985626942; -1; 465550079; 119754573; -1; 973279143; 904537865; 92851481; 787722776; 921978643; -1; 62309077; 25575980; 463442755; -1; -1; -1; 894382236; 734985883; -1; -1; 813154913; -1; -1; 950732133; 893170402; 894777229; 478386321; 296151524; -1; -1; 187412447; 681048429; 437945141; 429278677; 280761253; 735017531; -1; 160583990; 365454889; 718870751; -1; -1; -1; -1; 468170449; 157019740; 871683114; 349676751; -1; -1; -1; -1; -1; 946999546; 439791140; 33163972; 615495003; 876210867; 305074351; 623891841; 177843536; 267229555; 200441916; -1; 243043119; 406014778; 530136310; 669979652; -1; 5392040; 821652671; 867370478; 796933880; 44142383; 556155109; 554395382; 983183791; 18689343; 328202593; -1; -1; 932166824; 942570476; 353515248; 203172591; -1; 120124298; 419281426; -1; 607878482; 601791813; 537530998; 102784777; -1; 274012144; -1; -1; -1; 615689019; 3469886; 561517852; -1; 385861492; 208221025; 829761256; -1; 217187549; 484202713; 378499227; 953345134; -1; 906618032; 273004679; -1; -1; 10597269; 209667596; 453542612; 735222750; -1; -1; 525879741; 896917021; 358182884; 780196199; -1; 662164860; 558175322; 287041827; -1; 322630771; 11490668; 89818426; 438371385; 660923469; 658775412; -1; -1; 802415807; 88461363; 52962019; -1; 127088220; -1; -1; -1; 968862412; 374151395; -1; 502710533; 312958332; 638050003; 123850844; 451844153; -1; -1; -1; 937014991; 58409612; 378883086; 503731796; 744319590; 189814989; 751227920; -1; -1; 698380597; 11912510; -1; 894665633; -1; 302208194; 715305442; 208559354; -1; 172668452; -1; 394260877; 748899212; 807875753; 274045032; 70778178; 796238423; -1; 312357917; 600832143; 191024558; 318051695; -1; 282433962; 656245517; 712911134; -1; -1; 281754243; -1; 35051546; -1; 231792374; -1; 438500391; 336349191; -1; 28564313; 215200901; 933009563; 976377183; 36794023; 943010289; -1; -1; -1; -1; 584687270; 480768112; 174082756; 347837461; 849516742; 187812091; 43680272; 467913932; 846568626; 693807725; 814171661; -1; 630310603; 203139973; 731777653; 321793320; 733725041; -1; -1; 345814686; 502540267; 666767858; -1; 634376960; -1; 138202008; -1; 990430280; -1; 305301549; -1; 101531282; 897495414; 977244336; 923338805; 18067704; 991318989; -1; -1; 550779512; 975634592; 424228770; 5246707; 141893513; -1; -1; 722295941; 205102259; 3805121; 727989895; 204243477; 628847327; -1; -1; 729555265; 233933056; 363775194; 180156976; -1; 14634375; 691241398; 322326585; 918812371; 10200483; 851729398; 189567523; -1; -1; 558801170; 291978353; 184646243; -1; 653400894; 61846240; 964387158; -1; 272651388; 280739656; 409856869; 273794411; 942778669; 551130598; 617122917; 515945843; 917097214; 672333909; 61040125; -1; 963302758; -1; 562061447; -1; 20956777; -1; -1; 587499916; 568052624; 156297443; 223762078; -1; -1; 588038345; 399300206; 199318378; -1; 375094818; -1; 235680090; 257320597; -1; 336979533; 821210807; 560056931; -1; -1; 34329436; -1; 588434233; 577652448; 846935914; 467171599; -1; -1; 884845490; 990270661; 640269766; 708066269; -1; 921846940; 997188240; 485093610; -1; -1; 53366864; 280638008; 335580919; 548110421; 671086661; 4422215; 129584423; 135951691; 82030039; 170702456; 906833156; 251192521; 714922701; -1; -1; 95380853; 842560502; 231371255; 103277975; -1; 795428537; 135717395; 866039146; 501691614; -1; -1; -1; 6622591; -1; 973322694; 847504303; 464510612; 923288112; -1; -1; -1; 519131439; 280236111; -1; -1; 668386454; -1; -1; -1; -1; 894360318; 823962987; -1; -1; 98619155; -1; 900862943; -1; 52235327; 732620989; -1; -1; 800202354; 919605482; 870704917; 445006026; 962942014; 695314952; 524494448; 667457221; 142321993; 836680877; 959085645; 752667203; 365502565; 415667146; 501236797; 198900916; 310630102; -1; -1; 830218180; 424688008; 137309881; -1; 6203186; 539721403; 166482526; 516226725; 596676143; -1; -1; -1; -1; 38531786; -1; 812898711; 487538354; -1; 789536560; -1; 582617924; 518288788; 148501298; -1; -1; 920164710; -1; 2523385; 640311135; -1; 123636926; -1; 739126057; 48566799; 508917; 798185494; -1; 469971345; 12362735; 643199638; 532089739; -1; 89832895; -1; 849804146; 846665304; 700746478; -1; -1; 500935257; 647581201; 28897581; 819751388; 93534115; 329434336; 220733208; 825741615; 431325620; -1; 264963345; 217963448; 186979670; -1; 162620368; -1; -1; 481137804; 824560128; 145516225; 53850641; 735562000; 727210587; 106086110; 498290728; -1; 937906204; 522171683; 109019356; 247386478; -1; 169892518; 721993672; 622403631; 844469568; 197927009; 598761730; 870048628; -1; 761797472; 515274682; 345859747; 471247396; 923080089; 218396222; 248345478; 17670135; 828441007; 381012953; 428897681; 874292228; 839729819; 829020421; -1; 947263788; -1; 648133579; 758655329; 309595733; 879610471; -1; 437862639; 645653934; 208229317; 720577496; 638476398; -1; 285527353; 664303815; 394888124; -1; -1; 980234251; 728509368; 671144460; -1; 87960414; 167663532; 878774297; -1; -1; -1; 592094477; 230151443; 912508420; -1; 502664290; 529624995; 572040128; 345348840; 606992631; 482152047; 95795492; -1; 453616662; 648053811; 914060239; 891603958; -1; 867099369; 413274321; 606791224; 607530146; 41601409; -1; 596969045; -1; 191267791; -1; 812645590; 332555911; 222120044; 716444465; 248465163; 769198135; 491361766; 627285053; 870825857; 870817293; 140796467; 438249718; -1; 811332770; 917951972; 483049024; 374467481; 820945389; -1; 203847819; 955356685; -1; -1; 636930886; 789449194; -1; -1; 296820349; -1; 808694356; -1; 207031309; 229182911; 547938556; 855228295; -1; 428262386; 431267752; 917263143; -1; -1; -1; 124341039; 177677095; 119136238; 888928059; 391016434; -1; 748649819; 529374521; 406347668; -1; 519931861; 530370643; 892645544; 700901114; 330303392; 711061577; -1; -1; -1; 663967300; -1; -1; 253102063; 525726974; 782755156; 989968224; 356292806; 532227995; 879442915; 276998912; 40060615; 79174647; 377861651; 990869329; 773437323; -1; 763843126; 870153134; 836978208; -1; 951227627; 195492574; 313596420; -1; 752193436; 982463932; 792772273; 735910042; -1; 391242345; -1; 817133675; 336312900; 639147615; 417072788; -1; 951589157; -1; -1; 960258948; -1; 123291968; 727822001; -1; 502123299; 999639624; 162775757; 81393282; 538763521; 738996525; 941833054; 451233824; 74079412; -1; 131492198; 777381817; 658084123; -1; 619821906; -1; 244406024; 302490663; 869457199; -1; 386256221; 438096074; 352040003; 918139174; 160581544; -1; -1; -1; -1; 964927537; 439189574; 35863297; 342112520; 733800415; -1; 664033578; 112125197; 240255570; -1; 18701129; 967733246; -1; -1; 888192827; -1; -1; -1; 701086277; -1; 671024430; -1; 750339909; 142208412; 72561968; -1; 572567064; 886746974; 165443029; 402465587; 631896631; 28374007; -1; 119707159; 872301066; 882024680; -1; -1; 136159765; 568414333; -1; 536788000; 433730269; 579597807; 668380603; 873998918; 793362524; 516015036; 800171750; -1; 357844953; 117012551; -1; 479333333; 149618710; 631338634; -1; 968809524; 652616011; 471095299; -1; 89139492; 384460315; 36232193; 950440585; 469070546; -1; -1; -1; -1; -1; -1; 803488845; 669550234; -1; -1; 34950803; 484243672; 426581578; 627418319; 107550242; 859339014; 632328134; -1; -1; -1; 896751651; -1; 655748177; -1; 351952553; 57726522; 81383342; 938962336; -1; 739798584; -1; 416381301; 311926229; 187622843; -1; 720720362; -1; -1; 581044084; 617005013; 959668438; -1; 574152242; 911328551; 882119520; 639188000; -1; 239201379; -1; 574372723; 484788993; 705227532; 20613112; 369232167; -1; 565664533; 203420049; 848443414; 152519829; 235268674; 987709731; 439995852; 199396375; -1; -1; 530897129; 753729560; 735281813; 374554921; 824170702; -1; -1; 386783841; -1; 475206889; -1; 707171051; 194855566; 524752059; 581388519; 721873579; 602804553; -1; 548944544; -1; 809572306; 180042529; 48761706; 191128404; 947598978; 179491998; 300040396; 178462609; 544394079; 351122609; 320384617; 347288013; 557174295; 252717601; 765874770; 490199352; 966428148; 369298520; 43193820; -1; 842604137; -1; 924462380; 695386055; 623315530; 30146681; 84478410; 604385115; 83322382; 796581802; -1; 218230668; -1; -1; 956861692; 664204640; 512762416; 940415900; 844026959; 929028038; 803891254; -1; -1; 549711565; 576597375; 989714600; -1; -1; 633234590; -1; 519376256; 698011309; 751587114; 550239693; 947344678; -1; 616525103; -1; -1; 621297254; -1; -1; 240535239; 959072334; 804610403; -1; 104578087; 598093678; 413730687; 656662190; 805873503; 110611134; 257321457; 564058726; 313503439; 634708277; 649867297; 694341216; 926076400; 622110794; 531385909; 69600619; 539740564; 293425798; 134059051; 10983954; 64205314; -1; 817467698; 630131000; -1; 624578383; -1; -1; 687690314; -1; 25221535; 666889982; 993466728; 468545804; 211230532; -1; -1; 250964538; 117467800; 290519538; 686909991; 611690885; 634187643; 985993622; 329479419; 888555398; -1; 428787597; 24616349; -1; -1; 527494295; 898595345; 301362436; 999014787; 759511822; -1; -1; 854229769; -1; -1; 223711626; 46117160; 896587455; 827946589; 59224890; -1; 859131466; 703863075; 588616479; 137983218; 226940535; 856889666; 488607681; 624435712; 324711869; 775824661; -1; 704622380; -1; 577820544; 37537996; 611285222; -1; 247926803; -1; -1; 323912520; -1; 109193715; 369139311; 76115775; -1; 899125218; 958094897; 603197351; -1; 108212281; -1; 807545101; 993513439; 535573524; 951268687; 119992089; 113361965; 245107361; 419030882; 815024896; 443941234; 877249951; 282733213; 341962202; 278962366; -1; 270774240; 112374955; -1; -1; -1; -1; 218586774; 510784989; -1; 669995914; 509705877; 169794823; -1; -1; 555441889; 841261190; 716544346; 349543220; 718203296; -1; 15634438; 850093115; 329107312; 582297297; 863445081; 49843996; -1; 490994186; 553362016; 943810391; 665440377; 227526481; 942658231; 601061163; 325894196; -1; 47025752; 688927763; -1; 766504719; -1; 138072491; 784388648; 757118733; 746380868; 415565299; -1; 569364133; 858788348; 822468723; 401912216; -1; -1; -1; -1; 461472244; 674811801; 120493806; 132771951; -1; 659780399; -1; 634154327; 138080452; 468484846; 614031950; -1; 624326027; 327889391; 529359345; -1; 884341146; 244611989; 365497509; 522674790; 352162723; 441627585; 284470432; 457593481; 217949523; 972123527; 553711229; 518270030; 225658772; -1; 315541078; -1; -1; 3907427; 622439137; 491353532; 547786852; 904888747; -1; 134732448; 179903340; -1; 3593998; 966089411; 713006719; 686691642; 701381312; -1; 340863649; 956435244; -1; 122922532; 769789054; 898365730; 50108144; 121851923; 70371410; 133871211; 710412147; -1; 430526034; 772385047; 420835237; -1; -1; -1; -1; 301556601; 949464307; -1; 649273390; -1; -1; 736072193; 416548546; 949262255; 391878009; -1; -1; -1; 830511836; 281803162; -1; 928196907; -1; 37426413; -1; 576552812; -1; -1; 679070176; 842856491; -1; -1; 245916227; 33520332; 653848798; 473103920; 818030863; -1; 616222829; 326822815; 833136420; 245053967; 753958188; 474528550; 610759834; 821175236; 609366434; -1; -1; 26064611; 183331968; -1; 605243850; 894265260; 563041829; -1; 524102438; 394292217; 544364230; 642431867; 243753698; -1; 740141513; 778365822; 201197752; 606243345; 479387516; -1; 798119669; 511486818; 244666112; 852347016; 342408295; 251256978; 443585388; -1; -1; 232930743; 532232595; 126998063; -1; 769475083; -1; 350223479; 183171776; -1; 585289094; 495406243; -1; -1; 31824217; 596666265; 487251997; -1; 705404585; 213268636; -1; -1; -1; 207800127; -1; 411369292; -1; -1; -1; 49402104; 885799056; -1; 217546087; -1; 599469474; -1; -1; 779305148; 78265456; 245263351; -1; 321755781; -1; 682530061; 113786048; 694757569; 932109126; -1; 278186163; 12818639; -1; -1; 401208626; -1; 33172125; 623524045; -1; 883051821; -1; -1; 896710855; 696716488; 258628510; 435924694; 853995125; 952399912; -1; 33567634; 191376585; 841941515; 857728292; 261980821; -1; -1; -1; 199768104; 698279224; -1; 62723873; 456886545; -1; -1; 351750554; 641933233; -1; 870483472; 326104738; 521344679; 649549053; 568996614; -1; 384736141; 599247176; 84398634; -1; 447106453; 784602935; 296311338; -1; 262202567; 547673199; 734901014; 520705095; 116231813; 385303190; 690105640; -1; 372176386; 600658630; 221335171; -1; 889931852; -1; 632340981; -1; 562253335; 789855937; 711611880; 540449231; -1; -1; 687266292; 266129171; 694482576; 830903878; 920791719; 86122393; 546945736; -1; 642376861; 535816611; 823096006; 77775317; 245984807; -1; -1; 147396085; 58525372; 277028231; 995467922; 874469416; 712693056; 385957152; 438281860; 437890827; 396709499; 382760074; 173855692; 23105363; -1; 734096127; 432035918; 893256216; 488799737; 675429321; 500068753; 966052695; -1; 300217337; -1; 347844336; -1; -1; 598108697; 482798711; 766149041; 958463707; 736845778; -1; -1; -1; -1; 242194142; 252892367; 259150952; 488341658; 475715010; 306136666; 660567455; 65594296; -1; 230487907; -1; -1; 750646035; -1; -1; -1; 782250494; 13580520; 349214089; 94372950; 73540723; -1; -1; 904152783; 289878456; 403463061; 360233531; -1; 904999737; 847901611; 207753812; 232958454; 977362733; 767961896; -1; 668003685; 174600926; 190531547; -1; 403157361; 337640248; 192582160; -1; 560944938; 936860359; 405445765; 819126710; 109933016; -1; -1; 637694128; -1; -1; 199348479; 747808495; 245413649; 611947176; 735329513; 42596840; 640738552; -1; 111549833; 747316728; 691079320; -1; 935521280; 891420028; -1; 498833397; 349651870; 369538253; 297393068; -1; -1; -1; -1; 678212285; 991549026; 468821658; -1; 759050715; -1; 542347803; 926734964; 370993999; 410420773; -1; 563614567; 851461300; 128865687; -1; 759202106; 297693452; -1; 701643286; 188425898; 684114378; 241530855; 454101554; 221167493; -1; 520201076; 916316886; 867794850; 330098010; 631094496; 178780734; 486759590; 916420345; 369387184; 803090844; -1; 307058960; 45165684; -1; 783992097; -1; 658566202; -1; -1; 445439502; -1; -1; 209643894; -1; -1; 810048293; 102631996; 62176434; 76500040; 377873298; 647086563; 614126892; 99207451; 23170012; -1; -1; 557101285; 873991573; 556168921; -1; -1; -1; -1; 45127920; 813519760; 356261004; 501271436; 453318904; 640938110; 600757345; 72051535; 570422614; 115769430; -1; 362813349; 752082430; -1; 162789051; 606347900; 91061320; 96344081; 749691832; 335647679; -1; -1; -1; 518340875; -1; 39261706; 188308093; 457864226; 537401602; 890557209; 350253654; 347836564; 713580960; -1; 562660014; 571307485; 468518234; 292525029; 309877691; 57639982; 20632313; 752550524; 915518940; 513752811; 868655792; -1; -1; -1; -1; -1; 820994505; -1; 924808004; 596149875; 459860705; -1; 470179908; 488361318; -1; -1; 997012543; -1; 595503217; 919600351; -1; -1; 978160980; -1; 196829556; 433764576; 379143140; -1; 882587227; 849466596; 634451322; 107701714; 894087373; 410905365; 955931796; 78336951; 453102022; -1; 470383734; 941607147; -1; 302687630; 159038784; 44418086; 874255978; 66305412; 251672458; -1; 310085377; 382061240; 434654153; 660962025; -1; -1; 166550651; -1; 356356642; 867214071; 546571695; 180429367; -1; -1; -1; 378463761; 672569340; 867559073; 142445154; 865439688; -1; 167618629; 389049339; -1; 460066575; -1; 770559611; 214078659; 272300326; 784401756; 895810363; -1; 57743209; 666045038; 508889618; 260996463; 58075661; 89011056; 619734278; 24516630; 571695568; -1; 283659923; -1; 344108659; 322480513; 949612124; 932280098; -1; 214317690; 224766675; 29770922; 599241002; 266983183; 72741227; 785737409; 177302071; 641391814; 238819420; 799783510; 3736192; 169671832; 416690783; 130486793; 860266429; 92626883; 128041463; -1; 261840342; 805972163; 793446689; 539021140; -1; 250204768; 972291993; 403612071; 512851822; 170505508; 111725804; 641951844; 667322533; 169725114; -1; 449878251; 782941328; -1; 62526858; 749653057; 200169695; 716378916; 380883396; -1; -1; 317203227; 620625495; 891750203; 571712797; 826739242; 11286686; 533959098; -1; 900434573; 336801379; 658562044; -1; -1; 990872268; 371689507; -1; 666666696; 241186521; -1; -1; -1; 61461104; -1; 181951954; 525436876; -1; -1; -1; -1; 983040795; 946309213; -1; 169991593; 448860974; 746976944; 896348653; -1; 257379596; 852923554; -1; 370274053; 796092782; 782978654; 856190314; 761741130; -1; 473814823; 788338289; 197093129; 849925405; -1; 308241930; 409817873; 670599324; 956516257; 301331688; 652859003; 480497043; -1; 316995158; -1; 147602621; 634862709; -1; 425170595; -1; 230731191; -1; -1; 402090593; 182545114; 579680612; -1; 522388401; 2720653; 2009724; 622337295; 74125768; 661041665; 743067153; 97576671; -1; -1; 821082753; 322272639; 80409471; 444476584; 566392594; -1; 694702243; 526447155; -1; -1; 230483679; 972383717; 145667109; 193929647; -1; 808582098; -1; -1; 228406274; 741382224; -1; 812973557; 99879389; 934085365; -1; -1; 406804504; 666827784; -1; 529816057; -1; 927563295; 619292311; 163353680; -1; 965722670; 842273163; -1; 484261917; 711052739; -1; 969015354; -1; 159056382; 696696793; -1; 457813473; 868539452; 233079324; 151835518; 728752233; 642986185; -1; -1; 428269730; 172854535; 758001117; 144412090; 803852847; 59866408; -1; 263339598; -1; -1; 897446450; -1; 311561639; 426226369; -1; -1; -1; 511597661; 322550329; -1; 700845253; 191287972; 981720408; 413640228; 192656261; 742735301; 408093363; 309683098; -1; 314803720; 714250801; -1; 112626622; 29834366; 23489680; 828087951; 189911144; -1; 681276071; 603579553; 529408428; 304665677; 180743812; 694179395; 996847517; 773490715; 933515439; -1; -1; 22886052; 251028135; 101254053; 485761939; 430529495; -1; 308152952; 60789566; -1; 269097970; 763936412; -1; 358707267; 308907263; -1; -1; 580239290; 649443653; 859917425; 987809589; -1; 362877206; 854363919; 508715489; 538438672; -1; 335950112; -1; 302194715; 745085706; -1; 582466816; 898676824; 10761834; 998296582; -1; -1; 432746237; 939276271; 487149169; -1; 669917653; -1; 411254201; 758659015; 72563135; 915717993; -1; -1; -1; 88495497; 204031169; -1; 116664190; 666095734; -1; 967062550; 351127356; 539327049; 111868263; 934735701; 576496485; 239024892; 420630142; 751816669; -1; 287987917; 744773355; -1; -1; 919881254; 551609797; 832005538; -1; 48225208; -1; 809333205; -1; 763101205; 624417833; -1; 522043307; -1; 585321823; 733658571; 21150380; 892823163; -1; 935593445; 636053309; 870667500; -1; 11851354; -1; -1; 747341194; 537023949; 579048807; 101887216; 769244594; 474510145; 799020962; -1; 348523269; 59056961; 230465300; -1; 749007006; -1; 381426641; 566387267; 958645086; 718887209; -1; -1; -1; 559608321; 200832234; 622807489; 608905546; 441509785; -1; 884472961; 151657780; 647210123; 581701831; 741016292; -1; 890326679; 161941384; 763794907; 667411689; -1; 457119533; 618186146; 663404406; 895116156; 696021644; -1; -1; 618170570; 958051004; -1; 298623333; 724950960; 558021945; 738107274; 425561844; -1; 589353801; 771248767; 145068456; 325756036; 940014075; 513856575; -1; 196959226; 977261812; -1; 645227246; 161059906; -1; 213822351; 470679511; 912624673; 913616719; 34163332; 864752848; 135721625; -1; -1; 605280303; -1; -1; 457239834; -1; 460963506; 359942106; 436783652; 123760558; 109793781; -1; -1; 552425756; -1; -1; -1; 506294233; -1; 24171936; -1; 919821109; 553694421; 603222046; 281434568; -1; 206552356; 717776121; 638120500; 415828485; 420470245; 857378235; 671478616; 507586722; -1; 8239911; 945370401; 670304354; 513051869; 435483675; 637767285; -1; 237967832; 587963505; 647312345; 825750439; -1; 660403611; -1; -1; 313207522; -1; -1; 808102619; 814535511; 687221894; -1; -1; 831111948; 429325795; 484874733; 40536993; 383815355; -1; -1; 979186224; 643978222; 887919849; 366628044; -1; 585662387; -1; 531361700; 505863184; 481621804; 206450999; 115250348; -1; 436888704; -1; -1; -1; 212110524; 846589904; 938115184; 569337548; -1; 703053920; 351986888; 689838804; 649501276; 591621346; 753616211; 315183153; -1; -1; -1; 478777074; -1; 259916875; 748880985; 456549932; 85520354; 802233623; 775387692; 587682662; 273574156; 305122847; 485880715; 187081104; 391484132; 209920163; 762571487; -1; 826446712; -1; -1; 150906691; 345031366; 349983838; -1; -1; -1; 806303124; 412779461; 992929753; 274876635; 356186804; 393314112; -1; 198949152; 392559281; 414697804; 628735584; 709741566; 677388682; -1; 282001476; 664838401; 898047700; 385195712; -1; 58643344; 134858867; 33183758; -1; 691108274; 180960611; 102156412; 886177379; 310828894; 980819614; 647993499; 105984352; 241228796; 520303093; 617413389; -1; 72648857; -1; -1; 806449272; 956982782; 65962908; 423748326; -1; -1; 456401754; 602926574; 625990664; 403772123; -1; 923502489; 960827625; 862731557; 718473052; -1; -1; -1; 703399728; 993361433; -1; 505159495; -1; 231980216; -1; -1; 804745895; 234171263; -1; -1; 602636044; -1; -1; 457912874; 771318558; 595227732; 288310466; 454055736; 981164010; 663270714; -1; 664206478; 133122739; -1; 517929309; 786961012; 993058333; 744275196; -1; -1; 573019043; -1; -1; 545533580; -1; 616699039; -1; 261165345; 557571260; 141582206; 929190377; 230805899; 424702987; -1; -1; 959594872; -1; 670263640; 267423941; 534935083; 681172931; 470918299; 238972494; -1; -1; 111185732; -1; 651693186; 595992475; 226083226; -1; 194956034; -1; -1; 911281247; 430520054; 632688891; 347299569; -1; 773272867; -1; 786328388; -1; -1; -1; 471044575; -1; -1; 339265598; 334770129; -1; 569264171; 373820997; 322034509; -1; 372373370; 650193801; 670795762; -1; 484973588; 137262916; 890161349; 154977465; 746936258; 557537299; 762670888; 230786405; 838685840; 765860493; -1; 740730635; -1; -1; -1; 580832517; 31586209; -1; 898954651; 549347013; 174597088; 616569011; 897807870; 998829963; 244394553; 504425604; 783702496; 817475188; 397258005; 473580266; 531733348; -1; -1; 969602112; 927548239; -1; -1; 914412229; 158541597; 982259395; -1; 380664357; 157443822; 560654064; 875352494; 483904799; 218298729; 469497296; -1; -1; 860583612; -1; 799863065; -1; 220279869; 622945149; 455462440; 955511951; 727968345; 437806814; 624657149; 77812234; 630724649; 230261958; 500873133; -1; -1; -1; 155597415; 303207672; -1; 267722395; 972340931; 606051711; -1; 615785907; 136015891; 647539705; 53658899; 283298044; -1; -1; 183679616; 25877082; 797608170; 236755196; 811172338; -1; -1; 162604703; 96845826; -1; -1; -1; 425794099; -1; 685617786; 462715710; -1; -1; 862047750; 125524621; 874516851; -1; -1; -1; 291100348; -1; -1; -1; 275563217; -1; 920019049; 552879594; 372593242; 181637535; 314255025; 491901007; 295983810; 152239820; -1; 153001585; -1; 322718021; -1; 412312445; 949053109; 821224416; 333324543; 97584703; -1; 6158213; 488618310; 611085438; 31689429; 911923189; 375468841; -1; -1; 40198259; -1; 615294660; 340326631; 702978156; 706904025; 175894798; -1; -1; -1; 962132235; 537579272; 256055420; -1; -1; 71232056; -1; 919465300; 762207875; 426781026; -1; 435274903; 90195505; 744935280; 306349218; 821966818; 71391090; 18339690; -1; 134537057; 512746023; -1; 665243199; 494897312; 908331673; 101632888; -1; -1; -1; 222827134; 562236838; -1; -1; 476441147; -1; -1; 744864417; -1; 570174522; -1; 736459012; 471094476; 807481342; 901456408; 59288257; 282312546; -1; 526987947; 288341503; 103535514; 216982106; 916907027; 778376773; 541943179; 622560572; -1; 300970810; 434379353; 301444677; 746906844; 551245274; -1; 542021934; 738096778; 389721327; 395726579; -1; 682525196; -1; -1; 991800901; 975581866; 282336297; 321488744; 27216207; 550493857; -1; 138879614; -1; -1; 468823334; 556489365; -1; 565993585; 137807384; -1; 195592090; 630457366; -1; 155604470; 17823737; 6138623; -1; 548529879; -1; 335024783; 755602011; 938843104; 39494643; 915205466; 621700319; 105744801; 262198281; 954331348; 726500409; 443366427; 948662291; 274769302; 55810662; -1; -1; 976647217; 539502966; 470997613; -1; 246496710; 601394070; -1; -1; 13359679; 662848622; -1; 716847339; 915334418; 444593181; 653634527; 89998122; 717764437; 810266640; -1; 753145240; 618415985; -1; 644561651; -1; 5217143; -1; -1; 757383304; 977236863; 618221051; 992010392; 469622832; 313591673; -1; 114132050; -1; 852416151; -1; -1; -1; 932157172; 886533423; -1; 410361776; -1; 845838843; -1; -1; 433886075; -1; 738247031; 264347686; 21131057; 619301739; -1; 555154834; 630321587; 875759562; 622709764; 411397641; -1; 559496854; -1; 371644634; 59200418; 14770740; 998434781; 539908126; 572640994; -1; 275492379; -1; 477256752; 705861994; -1; 255981638; 40640894; -1; 314223348; 173390366; 812487517; 485960524; 746883136; -1; 732263059; -1; -1; -1; 132716111; -1; 849952532; 235331848; 874038130; 652546116; 378670199; 691467131; 213852436; -1; 348225707; 584312253; 156185514; 3035181; 211455960; -1; 691668420; -1; 119254501; -1; 106945445; 33770798; -1; 375864194; 56343749; 706425149; 503398872; 76778609; 115918585; 620925572; 64226468; -1; 306313301; -1; 984431718; -1; 39950962; 51962011; 905735375; -1; -1; -1; 701822763; 665424502; -1; 957958691; 634797893; -1; 752769527; 150541003; 170497315; -1; 142069105; -1; 270590702; 202232283; 845317612; 879417488; 353137329; 984587658; 520657756; 442924166; 236445129; 961850355; 597953707; 260056872; 862247635; 242288265; 318763320; 58914867; 30418721; 77238022; 573527600; 806090848; 920812215; -1; 676927065; 141024451; 712533192; 976701031; 679121504; 489069663; 778757060; 333711291; 802824389; 719920188; 260150744; 977973766; 129428737; 930876347; 578920920; 58778564; 447771479; 257840591; -1; -1; -1; 626775396; 976997703; 689846826; -1; -1; 691667162; 935946242; 168669410; 753027879; -1; -1; 721181635; 208443249; 111360132; 982252136; -1; -1; -1; -1; 390638204; 347143081; 649736850; 582699441; 273313710; 702986605; 68537237; -1; 268224422; -1; -1; 580621673; 573580741; 287168611; 79205757; 673970473; 239920401; 767740640; 554428289; 935920415; -1; -1; 555333814; -1; 775599838; 675565500; -1; 404957415; -1; 193369200; 248709466; 860875780; 537766188; -1; -1; 157983641; -1; 859881043; 706240698; 553093906; 714495395; 553345229; 644241801; 336117498; 424757061; 718284457; 452391055; -1; 798581939; 293213770; 603681848; -1; -1; 996797493; 358534943; -1; 515061831; 150994741; 54570646; -1; 865385145; 635319038; 330776455; 94554454; 240382516; -1; 449472166; -1; 888370695; 278349600; 511498750; 270713530; 361852217; 111318860; 857522318; -1; 368633482; 408239731; 477294805; 790269434; 617682617; 737255621; -1; 238486756; 899951027; 670270304; -1; 75028510; 404484859; 109527554; -1; -1; 143084882; -1; 521388746; 123081927; 947357933; 439520822; 355546951; -1; -1; 969456981; -1; 100668594; -1; 14719262; 528356020; 585593324; 25785693; 127568363; 852411754; 158053843; -1; 7014967; 967894912; 582220461; 58127035; 13574615; -1; 868420469; 408973993; 169438036; -1; 12351908; 296589420; -1; 750627887; -1; 3585186; -1; -1; -1; 527507121; 729075436; 798767680; 229160066; 74702906; -1; 197050027; -1; 616953781; 705737584; 76694045; 485976131; -1; 313666042; 148077079; 936888512; -1; 789448207; 561840470; 531963529; 808111834; -1; -1; -1; 657169378; 702981758; 105210743; 365679784; 502508096; 484368675; -1; 526538095; 884884556; 150987327; 338571330; 87751215; 575044575; -1; 848366887; 289740480; 109474871; -1; 545976760; -1; 538002316; -1; 776048555; 76633991; -1; 372719823; -1; 231562832; 710517317; 111778314; 550270981; -1; 18110145; 696591312; -1; 938642584; 254125635; -1; 475184343; 808528776; 458571141; 41976773; 56822671; -1; 924229380; 352476000; -1; -1; 831865422; 276893257; 149134608; -1; 744504900; 414865220; 524909662; 315037438; 99036249; 530362446; -1; 505659161; -1; 280964361; -1; -1; 242335554; 390494693; -1; 560192790; 894493293; -1; -1; 14473629; -1; -1; 160824024; -1; 451282482; 344032599; 133503659; 503407245; -1; -1; -1; 291774735; 152330740; 195054471; -1; -1; -1; -1; 492529027; -1; -1; 549518475; -1; 85306231; 96658325; 206857832; 426206570; 349824601; 771211202; 59221258; 989627567; 803396465; -1; -1; 339432362; 980918937; 231611848; 945014238; -1; 108076120; 633410275; 735683934; 706238024; 208107917; -1; 824488338; 730923175; 971917261; -1; -1; 481269120; 729627236; 376800751; 627688109; 679857440; 871248990; -1; 218131007; -1; 126512840; -1; -1; 164505598; 626587407; 595373175; -1; 800657622; -1; -1; 417389460; 881041817; 273871176; 606829107; 730692967; 709761026; -1; -1; -1; 757331887; 421093028; 587781455; -1; 603574441; 697494499; 71666877; 164681193; 332587054; -1; 7634144; 610554816; 694144961; 423650659; 509517629; 56883275; 436999868; -1; 407741674; 700410851; 461905026; 59234285; 727815039; 935882974; 10746724; -1; 702602199; 642194380; 330713384; 760266561; -1; 48031705; 125577123; 370390330; 835514409; 352491978; 618455078; 476723134; 266480373; 568632801; 851194624; 585910787; -1; 147187914; 372203701; -1; 948919906; 566949334; -1; 568495947; 434717185; 318612907; 207585408; -1; 49833543; 867100647; -1; 2074753; 227032215; 193920651; 951020543; -1; -1; 335728828; 74872666; 258155674; -1; -1; 397128000; 97524688; 332305839; 786061449; 810069943; 379074028; 762825503; 314863483; 856050075; 828218891; 758956654; 803823005; -1; 641140902; 519549667; 391057551; 543387851; 104779392; 133828855; 970651045; 383312305; 240234059; -1; -1; -1; -1; 186652179; 305824981; -1; 715330676; 447545992; 214873558; 929921664; 977002033; -1; -1; -1; 375103326; -1; -1; 854763256; 487848374; -1; 610057231; -1; 639673390; 225527368; -1; 125010568; 515865911; -1; 781089358; 63257052; -1; 889740900; 660639040; 558571222; 509076993; 990792626; 768467321; 450871805; 698661636; 717272878; 673184643; 68855286; 762255513; 29906646; 970062786; 228920438; 127981714; -1; 513367258; 798363953; -1; -1; 383816727; 36392707; -1; 854219415; -1; -1; 819736554; 144574394; 262326326; 762049396; -1; 823961766; -1; 392975770; 955427650; 188426322; -1; 330245438; -1; 642336328; 102437090; 976651534; -1; 264620538; -1; -1; 583547060; -1; -1; 431204554; 348371404; 177207351; 448870641; 383094470; -1; -1; -1; 464045589; -1; 69032044; -1; -1; 683570686; -1; -1; 34811082; -1; 95210946; -1; 327883322; 435295999; -1; 990305097; -1; 17520159; 90850432; -1; 602775922; 415680469; 518476744; 44649241; -1; 83911392; 11068685; 231350094; -1; -1; 748369518; 242388825; -1; 941783818; 538024547; -1; -1; -1; 820963336; -1; -1; 444788424; -1; -1; -1; -1; -1; 310902844; 763702153; -1; -1; 328006633; -1; -1; -1; 482301277; 264253898; 22519245; -1; 802579768; -1; 40083841; 330243738; 828682793; 68991807; 187160908; 974182230; 693074457; 709484130; 442473248; -1; 48836908; -1; 900349403; 882736305; 512636490; 960147919; 814874183; 926684789; 854328312; -1; 740266000; 484352732; 983665563; 369388555; 514125157; 1818001; -1; 205354219; 517798253; 510812978; 442183622; 708204674; 939959317; 522273959; 937658858; -1; 752256424; -1; 778068105; 478325262; 823848687; 399690296; 252484448; 215848588; 169050823; 937470796; 96646090; 656673638; -1; 591303016; 574352266; -1; 31442788; -1; 464568506; -1; -1; 374192724; -1; 31681908; -1; 99236312; -1; 521473501; 391285446; 206099244; 496962433; 635806740; -1; 418172477; 525857530; 87605242; 887037545; 184594259; 292939429; -1; -1; 242543375; -1; 188813344; -1; -1; 872668347; -1; 425562879; -1; 818784348; 442986177; -1; 104896521; 258797054; -1; 567858412; 963295623; 487422834; 666812317; -1; -1; 760920936; -1; -1; 569218474; -1; 913647901; 129270351; 969499088; -1; 860512885; 543136377; -1; -1; 774282907; 960894187; -1; 957248217; 511208760; -1; 202151492; 514618657; 627325584; 385672743; 951035274; -1; 361916299; 52202892; 440125168; 218935901; 489229276; 608377762; -1; -1; 576853448; 535904383; 884623924; 784043725; 135459036; -1; 518741333; 18836176; 101393974; 843704991; -1; 609476081; 126416815; 109963378; -1; 251721006; 408894093; 991593465; -1; 627456802; -1; 338241206; 432406482; 517249116; 377696558; -1; 955460048; 203505004; 286275571; 669929710; -1; 148216796; -1; 9731582; -1; 810808162; 299886493; -1; 460721171; 428942570; 336152037; -1; 53298469; 852426551; -1; 443795382; -1; 916145732; -1; 509189206; 437885805; -1; -1; 90274985; -1; 788981194; -1; 471316029; 841438036; 479615445; 107784094; 168607760; 203462691; 793369471; 823989150; 652808538; 542102011; 944697382; 703367079; -1; 781894771; 179313560; 35092704; 567934448; -1; 867140071; 174574180; -1; -1; 718023536; 908984434; -1; 707540117; 580995467; 961627475; 637866580; 433772691; 554009073; 333355766; -1; -1; 252035588; 143694550; 146406693; 421796959; 229142127; -1; 22132851; 414618612; -1; 617335124; 100090063; -1; 704226450; -1; -1; 923016773; 670291730; -1; 706934577; 493085267; 828447465; 333294268; -1; 545369954; 864650891; 52235826; 554375761; -1; 876432978; 732921202; 690236699; 963088197; -1; 152229877; 834170596; 990069043; -1; -1; 851303778; 653934444; -1; 728051889; 229806057; 218572321; 346930838; 219782280; 511056109; -1; -1; -1; 983473196; 967783691; 421847479; -1; 873679382; -1; -1; 320865402; 766022807; 94863796; 574677297; -1; -1; 131564715; -1; 624999; 993963260; -1; 136414530; -1; 414480958; 937954272; 201440323; 327461463; -1; 340102914; 725579968; 400953177; 818118495; 807760406; 175884081; -1; 150764364; 522526799; 69353399; 605537811; 405888846; 210530858; 989803959; -1; 477820378; 938779517; 836856467; 960909447; 470615030; -1; -1; 795200741; -1; 884861809; 583361773; 653374827; -1; 847307451; 214230625; 943877008; -1; 699473884; 477870879; 361774745; 989309188; 122005197; 514007746; 699531416; 87694323; -1; 752019033; 772356685; 569595496; -1; -1; 1204072; 491136853; -1; -1; 992889188; 580238704; -1; -1; -1; 575719395; 637679511; 340324274; 911072992; 72563390; 830762141; -1; 756530285; -1; -1; 714885869; -1; 210059535; 712532561; 559015157; 211380324; 524570888; 85324359; 381447743; 922430759; -1; 989185649; -1; 962204813; 301344136; 32854693; 333743041; 5683383; 235153736; 16514782; 622987473; 56073663; 646624788; 944900721; 648613437; 513577513; 100247584; 256369634; 797058650; -1; -1; 146462367; 387425580; 144119122; 132097809; 414049089; 244830272; -1; 899626350; -1; 610127174; -1; -1; 840775839; -1; -1; -1; 573101682; 477575132; 909089752; -1; 809629423; -1; -1; 445413517; 572174755; -1; -1; 967461540; 471340121; -1; -1; 417036402; -1; 643469299; 617194921; -1; 398615358; 898307674; 562642889; -1; 346483385; -1; 14532201; -1; 252475897; -1; -1; -1; 395498581; 789599053; 760988177; 292374920; -1; 676476382; -1; -1; 238956019; 155254583; 335454783; -1; 258516101; 318969451; 35695804; -1; 857871986; 294922306; 638184218; 533444092; 220859312; 715082234; 996857045; -1; -1; -1; 714080338; 357220187; -1; 159676883; -1; -1; 102840381; 527719163; 436709982; -1; 366173182; -1; 702862296; 414365053; -1; 476035535; 621204286; 782778283; -1; 647305111; 562224724; 313414556; 145709653; 540906013; 930395039; -1; 152931940; 777102462; 243662468; 75401279; 826151118; -1; 672383187; 594138330; 362973839; -1; -1; 188318369; 632725771; 666204083; 22086998; 354259880; 575594601; 532925530; 253470359; -1; -1; -1; 78938174; -1; 49515038; 540648085; 733045601; 156607957; 793483965; -1; -1; 782205415; 280908626; 969558548; 309437091; 528599420; 805330836; -1; 516289367; 527485462; -1; 504003650; 700279786; 974725973; 596893788; 164177119; 443506613; 221859650; -1; 434334082; -1; 307544394; 676088516; -1; 220972457; 40147261; 719590054; 580237011; 23383423; 446342163; 912545693; 210358714; 680488791; 783363911; -1; 634145541; 290240813; 262193404; 775387499; 81782227; 755570087; 989875302; 595555125; -1; 422078591; 30297021; -1; -1; 236121381; 714795163; 542820084; -1; -1; 136480330; 624094324; -1; 466910665; -1; -1; 484656070; 760837769; 999713532; -1; -1; -1; -1; 326935788; 722063985; 731677395; 885785433; 212973387; -1; 540327536; 449260065; -1; -1; -1; -1; -1; 789117188; 608787757; -1; 880369945; -1; 961843206; 473029634; 398552721; -1; 239482481; 490497337; 172615983; 856051768; 942170765; 849090575; -1; 202547931; -1; 880009157; 655519947; -1; 132148963; 133124991; 498565956; 75055234; 156547111; 314273222; 222174819; 561055829; 927279024; 975039522; 433155168; 875510356; 638354338; -1; -1; 754680672; 95791942; -1; 526902662; 124412927; 236938121; 947066097; 508195303; -1; 579908594; 69910152; 375061754; 470692030; 548061509; -1; 609103800; -1; 357312334; -1; -1; -1; 832765906; 82261186; 511537401; 509816478; -1; 413031788; 616444420; 213775437; 713481824; 186074810; 728425974; 757898739; 104624609; 975062478; -1; 761783711; 829508902; 721939599; 566566768; 38086838; 184245419; 269071341; -1; -1; 902012247; -1; 275467783; 863177973; 451575888; 97658803; 301357299; -1; 548064371; 793570648; 831515454; -1; 432998737; -1; 945201471; 291344071; 20662745; 855615925; 172579667; 796860374; 48568770; -1; -1; 201235872; -1; 388760815; 962960760; 124486070; 951521769; 714819599; 144308239; 662128626; 66884717; 320545617; 421547089; 216737123; 546156022; 465083985; 963696895; -1; 631010763; 912596446; 13650428; 344412357; 38160045; -1; -1; -1; -1; 752576739; 158881258; -1; -1; 429709642; 333282389; 570998893; 111085489; 349092403; -1; -1; 358963152; 399992237; 222143247; 851525913; 508452041; 778674864; 804388764; 466182960; 200095015; -1; 501746974; 364044578; 100820797; -1; 876096184; -1; -1; -1; -1; -1; 796562955; 431907696; 86228533; 478318904; -1; 620601805; 315607704; -1; 19750276; 503700534; 618679156; -1; 210678055; -1; 314862612; 483777064; -1; 661490542; -1; 639727756; 961330220; -1; 855416597; 210523026; -1; -1; -1; -1; 891207234; 299455636; -1; 329269751; 33525804; 500900151; -1; 149372592; 896118424; 406226900; 746965067; 57643764; -1; 436065601; 57049072; 958641794; 473137520; 849509742; -1; 721090630; 879534992; -1; 529545801; 480987780; -1; 694405589; 101693535; 986614299; -1; 282777096; 790124918; 764090928; 117166892; 303950456; 595119028; 956056396; 830346496; 9636845; 139139859; -1; 298363219; 310231505; -1; 151289282; 909003148; 667237883; 725220631; 36781638; 487168372; 449111914; -1; 903306425; 848050300; -1; 923118125; 765269581; 810558494; 238452899; 331783063; -1; -1; 577026949; -1; -1; 870224413; 914033941; 915368157; 683352467; 237849682; -1; -1; 899471169; 154595748; -1; 111045587; -1; 914105167; -1; 311644723; -1; -1; 501186012; -1; 163173665; -1; 359949183; 230993877; 235090083; -1; 86853401; 252059475; -1; -1; 923849696; -1; 221623633; 980276033; 960618040; 142943501; 947162952; -1; 242048452; 156920698; 263436700; -1; -1; -1; -1; 87649841; 948051858; 497135776; 221191378; 326828086; 359112613; 739551769; 710574334; -1; 630233633; 941919042; 156311069; -1; 833274238; -1; 348467422; 777166004; -1; -1; -1; -1; -1; 841900649; 858691056; 55898034; 138128406; 576023749; 513798090; 164257851; -1; 280692153; 732092536; -1; -1; 548050109; 436643661; 436043444; 742262487; 788572288; -1; 330998864; 958942856; -1; 379252368; 927718665; 931590772; -1; 388158875; -1; 804895503; 259503143; -1; 655315620; -1; 46168514; 191322345; -1; 564498289; 711810612; -1; 486777969; 679425490; -1; -1; -1; 479682094; 60988522; 265124598; 217012704; 363560302; -1; 373526081; 615206890; 410322813; 866954466; -1; -1; -1; -1; 909423359; 103216021; -1; -1; 571009274; -1; -1; 781649894; 55836530; 474274987; -1; 858794217; 852329023; -1; 825141301; -1; 865572654; -1; 321491111; 732281268; 85077193; 600441976; 723826507; 330205101; 419999454; 148021654; 480247335; -1; 975361214; 791086717; 703266825; 699260708; -1; 307535453; 35968701; 343657582; -1; 617860496; 174625851; 515971473; 567496641; 422588279; 22437751; 41161261; -1; 100996276; 358192551; -1; 190798571; 777745014; 734573551; 393798303; -1; 89462958; 348645526; 152622319; -1; 452047737; -1; 151602681; 482537484; 503043092; 468037229; 499695464; 308778692; 931158889; 848536183; -1; 230782584; 476801988; 279002607; -1; 997094473; -1; -1; 939517288; -1; 679558665; 515398063; -1; -1; 966159045; 29763025; 971859570; 287943582; 397695196; 22173664; 684952872; 701180685; 665427523; -1; 590789128; -1; -1; -1; 448023789; -1; 975935449; -1; 205590188; 611382273; 715688117; 496377580; -1; 550351094; -1; 60731397; -1; 218266928; -1; 196957934; 463829049; -1; 582873802; 313751635; 955297867; 902397983; 252818457; -1; 440604786; -1; 776367663; 385355548; -1; 268930489; 959638383; 2402597; -1; 415571377; -1; 293029571; 990608529; 223602581; 797910679; 57167434; 269438438; 165203742; 304324859; 404797447; -1; 53200443; -1; -1; 169115737; 34078351; 660833183; 653702635; 455684817; 733925586; 548329159; -1; 175799731; 11594892; 875686711; 315491534; 317505831; 815931344; 647727648; 642983188; -1; 841565019; 168209835; 576436972; 821971303; 114952911; 132333260; 456873377; 234942664; 212281575; 927546940; 513644395; 357405684; 207773150; 12787977; -1; 159599272; 155026659; 465760028; -1; -1; 397015453; 20734690; 135148806; -1; 368515142; -1; 488700114; -1; 557099405; -1; 573933339; 12903914; -1; 237500343; 396218618; 616152907; 958630540; -1; -1; 677899645; -1; 384287284; 436215411; -1; -1; -1; 420960458; 536892880; 833890577; -1; 33571813; -1; -1; 976719172; -1; 992493825; -1; 578175355; 679407799; 536369276; 416346689; 747765829; -1; -1; -1; -1; 346401006; -1; -1; -1; 91010329; 161759431; -1; 724424166; 895002786; -1; 764207733; 616677282; -1; 732025744; 80100077; 996722032; 348026445; 382647431; 165531094; 19870663; 738682333; 151871930; -1; 967857391; 677885723; 606770832; 727386318; 665311893; 317010991; -1; -1; 490406902; 652916971; 636232667; 904384717; 383822281; 547133022; 611842063; 447349400; -1; -1; 930013350; -1; 176388931; 79918008; 435177812; 140848696; 566579088; 726750; -1; -1; 394807724; -1; 470863193; -1; 347174414; 573490412; 431673092; 62889559; 279372555; -1; 71330879; 549950628; 196931264; -1; -1; 757065241; -1; -1; 376154857; 691627504; 756226024; 102978789; 550955624; -1; 689307037; 11132756; 84014559; -1; -1; 353640637; -1; 964602996; 604665359; 360628969; 680081391; -1; 909794247; 478923976; 807992086; 262623540; 640076445; -1; 319030598; 105061422; 130855241; 868749574; 376123489; 256730194; 726730461; 509500195; 972695974; 74332620; 541050659; 476327757; 379010459; 989263440; 164766567; -1; 313122437; -1; 883617098; 909725026; 693132226; 190496941; 116422785; 181664225; -1; -1; 692532555; -1; 926330692; 72518042; 538553886; 752506818; 210160952; 11715276; 948030148; 433313667; -1; 177896321; 47363031; 732656753; 736817142; -1; 441708365; 11326203; -1; 829727709; -1; 105998380; 36198900; -1; 720027817; 491276427; 431883727; 614160083; 482272307; 179498011; 168055348; 217224791; 581616272; 814817859; 973428212; 107148739; 49654168; 93529094; 656620727; 581705281; 953680017; 92662603; -1; -1; 314768248; 964063142; -1; 828968510; 927239912; 998041950; 293676590; 342855239; 959664470; 907478171; 813531963; -1; 410920479; 715924178; -1; 382106272; 614349809; -1; 498482666; 916231279; 752557505; 555358107; 460789216; 803311366; 393135785; 351897605; 933075316; 585564070; 361587846; 544962482; 293151654; -1; 459546958; 314967988; 453552690; 811866909; 66984703; 780632541; 571419124; 24805109; 60559674; -1; 17644805; 438762782; -1; -1; 921831529; -1; -1; 117614250; 815311599; 703974311; 730227459; 366503205; 166269973; -1; 774515772; -1; 873367188; 305741488; 344650009; 708780991; 365087175; -1; -1; 247328049; 943361149; 357236026; 333111944; 96311428; -1; -1; 315509674; 505796460; 850396517; 741551044; 126606258; -1; 532212372; 544234496; 555988501; 469381391; 829358935; 104001760; 135054481; 49024593; 803522591; 948048308; 809780268; 852502698; 414319482; -1; 406971330; 323926842; -1; -1; -1; 345895292; 43798026; 199511218; -1; 470315164; 724628182; 284124216; 217907411; 761392136; -1; 154715505; 95954370; 318678355; 930981833; -1; -1; 798797248; 472545544; -1; 63343184; -1; 261223270; 831782003; -1; 283471508; -1; 973047236; 203984703; 959738182; 235713683; 840146140; 346013293; 664814409; -1; 214450055; 728929459; 181289027; -1; -1; 543263155; 826074948; 45311795; -1; -1; 975376979; 900016996; 244389267; -1; 301419260; 488546157; 668452403; -1; -1; 761028802; 336903746; 196522139; 836899825; -1; 383058778; 424522686; 851880600; 283877390; 998199246; 389474430; 427777180; 35078829; -1; 379809365; 694289681; -1; 637656636; 173183154; 39106706; 915022047; 785964213; -1; 149379543; 937281779; 907561214; 819013986; 115793185; 714375476; 638661558; 549272395; 923046012; -1; 611769127; -1; 793379088; 494127803; 249826494; 983635089; -1; 981357533; 793895049; 31547602; 754205415; 111770460; -1; 68437038; -1; 719627285; -1; -1; 258657080; -1; 42217851; 61113437; 459712165; 753806710; 236635607; 869847048; 35485490; -1; 343083153; -1; 32568538; 117173614; 576997475; 565703399; 663434712; 918167300; -1; 725872709; 316347222; -1; -1; -1; 249498249; 15987357; 199334142; 636140180; -1; 158788428; 938602779; 392929902; -1; 767623927; -1; 718627848; -1; 327113188; 799646578; 966063931; 917772916; 358708260; 81454290; 994023158; 471411778; -1; -1; 336485567; -1; 258833118; -1; 517063434; 183109261; -1; 965051877; 987468884; 365928574; 790454425; -1; 895870628; 270395280; 641450533; 706927328; -1; 180559900; -1; 579178732; 715843851; 789478242; 833176347; -1; 539397206; 399122231; -1; 740447865; 275834596; -1; 573766499; 177219991; -1; 648065887; 84751113; 504051473; -1; 982654122; 814641973; 658418026; -1; -1; -1; -1; -1; 691640425; 572072805; -1; 516111604; 771052976; 489469242; 285468488; 805569981; 469417703; 214983802; 65125434; 539238818; 528179553; 730232054; 297826904; 11403463; 924241522; 294587492; -1; 183185126; -1; -1; 563749251; 549732518; 331746246; 795564020; 463510702; 417207276; 123021049; 518421448; -1; 170910104; 836662477; -1; 642263798; 823281579; -1; -1; 130586395; 402460130; -1; 610136396; 129779750; 184072906; -1; 955609035; 287882966; -1; -1; -1; 436375558; -1; 369967484; 905747184; 101701414; 775724766; 674456643; 303355984; 909485600; 17945742; -1; 180008598; 373114698; 614258979; 23611627; 136863489; 204105867; 13752607; 420255548; 375142625; -1; 995046286; 142567558; 87527327; 955276185; 62296199; 665154127; 717941214; 160713875; 34982518; 673315803; 530714115; 80580964; 109722800; 259944457; 74410586; 892577358; 45074023; 674922011; 305471701; -1; 35393698; 526752000; 993428875; 19350063; -1; -1; 266392230; 960258404; -1; 946370392; 689620560; 884619724; -1; -1; -1; 809080529; 488805189; 312418008; -1; -1; 653144856; -1; 652517992; 344180789; 621604594; 745461109; 513715035; -1; -1; 783494548; -1; 319044730; -1; 949421992; 77808725; 112694496; 652432539; 131146416; 101776576; 222223743; -1; 893024941; 167400175; 557068719; 845937955; -1; -1; 965260186; -1; 681871872; 622593700; -1; 415149637; 839064823; 470562451; 231830820; 708571883; -1; 885566215; -1; 588778674; 412731316; -1; -1; 334350499; 286562219; 953374483; -1; 788669638; 994596688; 266860870; 868859387; 524735593; -1; 701147774; 678491714; 849730137; -1; -1; 221284096; 601733408; 357757465; 342147689; 543737951; 720742997; 200099998; -1; 771682764; 424658003; 395080572; -1; -1; 136637775; 320607288; 543674552; -1; 553603662; 338596723; 496297679; 883726468; 195612482; 558170219; 41274828; -1; -1; -1; 599596198; -1; 397415266; 919141175; 596435385; 698591141; -1; 996742298; 979603319; -1; 589961851; 746101910; 465335397; 780940040; -1; -1; 709332311; -1; 574758026; 217982766; 179395991; 99468575; 880092676; -1; -1; 650915363; -1; -1; -1; 40969454; 564347220; -1; -1; 892241723; 401878077; 377738553; 760127519; 227222618; 935372649; 944811451; 972810606; 452253539; 884781240; 928814192; -1; 869167345; -1; -1; 270768130; 973988712; -1; 266845158; -1; 507899916; -1; -1; -1; -1; 899787103; -1; 425862928; 52551711; -1; 464723523; 505011995; 171344016; -1; 340003450; 13907317; -1; 866933850; -1; -1; 420520968; -1; 2560670; -1; -1; 2847679; 616746491; 239581294; 699891813; -1; 932528729; 12233671; -1; 479936933; 914801997; 727029496; -1; 2658247; 215080197; 333125682; 644247156; -1; 318532072; 798227891; 136674014; 418512271; 733065898; 539406421; -1; 92866657; -1; 441604300; 125686214; -1; 121614269; 763606018; 463917458; 414404036; 904822732; 460783497; 23469170; -1; 949942059; 705650285; 831905098; 973499702; 198902138; 172268249; 129470879; 148055235; 616670813; -1; -1; -1; -1; 77708108; 853252823; 397286422; 988313564; -1; 851231227; -1; 214849480; 119567896; -1; 818490735; 976166944; 104684356; -1; -1; 65435890; -1; 739267231; 199726197; 803235959; 67891275; 71310758; 992855130; 645365749; 476851913; 599707777; -1; -1; 438824608; 785263960; 468571052; 328042818; 968811841; 29683472; -1; 855817029; 4076795; 136559342; 352520303; 364072221; 813208040; -1; 905673492; -1; 179812158; 661909458; 989841307; 615330714; -1; 226846271; -1; -1; 770843887; 615769369; 387564987; 283896373; 13180422; 721977869; -1; 716266139; -1; 212441153; 957762723; 189325886; 276195961; 379184081; 598696831; 703387357; 464397275; 524164896; 426185752; -1; 962447817; 973376912; 620813662; -1; -1; 921490818; 964869648; 294664972; 487929947; 671257417; -1; 604687540; 220646951; 513314477; 867824788; 450841896; 426787923; 776047410; -1; 609758464; 55006126; -1; 200119675; 961322741; -1; -1; -1; 495647929; 660077897; 548785186; 637410043; -1; 427311666; 946053263; 500634114; 836909233; -1; 141062005; -1; 458897617; 793993165; -1; -1; 924430174; 630275313; -1; 816950441; 616836447; 588648831; 479562466; 635063005; 675633875; 651903024; 56770507; 728421482; 542963804; 329716407; 442411146; 225531761; -1; -1; 649432838; -1; 881916178; 408579770; 924867747; 917823908; -1; 699692450; 761058126; 720148579; -1; 238459529; -1; 60722197; 588781620; 961848642; 88341404; -1; 106444614; 365411445; -1; -1; 418105224; 783419613; -1; -1; 459952185; 391580821; -1; 143678212; 46388921; -1; 546496995; 281335530; 352565748; -1; -1; -1; 809279680; 975144111; 660869928; -1; 501426252; 180622501; 899861662; 129330283; 768890439; 271197568; 755350351; -1; 673944280; 871230670; -1; 454459962; 392775228; 266832694; 50508872; 683325357; -1; 3434662; 362762148; -1; -1; 615395946; 856194265; 257551664; 283507987; -1; 337893260; 959019328; -1; 245278580; 743273804; -1; 915466190; -1; 695766682; 664129600; 239304247; 696234569; -1; 37760915; -1; -1; -1; 98147915; 838378718; 492463381; 795658518; 174824856; 798183615; 925684743; 473959603; -1; -1; 865742531; 395645586; 443956075; 194645193; 300192727; 453681623; 867229610; 439229915; -1; 15925224; 583969239; 394594858; 636529750; -1; 841015194; -1; 71474818; -1; -1; -1; -1; 916346163; -1; 160980498; 673076391; 986572805; 396151178; 739834686; 717380206; 132921910; -1; 166013748; -1; 330044949; -1; 259033468; -1; 593444963; 924387810; -1; -1; -1; -1; -1; 393586316; -1; 503454893; -1; 479332771; -1; 560588126; 855087974; 166483859; -1; -1; 271223292; 511312242; 353731065; -1; 302477862; 284749451; 57911036; 103451484; 914371972; 231264432; -1; 134992474; 904182957; -1; 282998358; 442418952; 990506579; 547793181; 977261069; 859443284; 594445165; -1; 486002454; -1; -1; 969106597; 725332131; 186465772; 135355846; -1; 242587042; -1; 410516686; -1; 163209863; -1; -1; 963486314; -1; 95800022; 320237105; 648011269; 721526133; 271483567; -1; 460502706; 863384959; 570107752; 863469771; 286122895; 199599165; -1; -1; 207705566; -1; -1; 579591913; 198862000; -1; 992430976; -1; 874848612; 327661220; 964959607; 558866043; 6381072; -1; 586544822; 862737380; 537212758; -1; 135147462; 84685437; 356416666; 929320266; -1; 766028759; 825824674; -1; -1; 910737828; 813799000; -1; 644721340; 714690750; 866923100; -1; -1; -1; -1; 720262418; 547770147; 548432215; 532889880; 924747911; 629737137; 111279075; -1; 996517632; 798903851; -1; 347026701; 448076107; 672414389; -1; -1; -1; 429648178; 236414062; 853583949; 433328943; 176860448; 529772378; 546351028; 900993311; -1; -1; 513327706; -1; -1; 328164274; 86806447; 898117970; 13084453; -1; 96396993; 559614040; 723451845; 53152905; 554985324; 638402014; -1; 997335800; 396860341; 961970869; 739584711; 223479396; 177441532; 568340681; -1; -1; 541316835; 636908377; 889585850; 733546377; -1; 688233527; 284211303; 601725512; 572713117; 346442042; -1; 736138397; 262193597; 508114236; 194123875; -1; 322093627; 397140038; 454966238; 92308386; 784232673; 233007847; -1; 574425176; 649529509; 256476395; 279461485; 993728165; 42403635; -1; 262266421; 327655115; 647824798; 631614567; 937741060; 307072839; 268073252; 353977923; 330201475; 706674057; 301326402; 585691610; -1; 201346226; -1; 554601036; -1; 180800536; -1; -1; -1; -1; 957895926; 520061999; 109918456; 758342725; 714890552; 2855972; 940567035; 933569853; -1; -1; 987149559; 320252545; 72175263; -1; 471567547; 126568514; 72480627; 528978710; 857129681; 542937148; 948225189; 435564629; 755483404; -1; 13295335; 369044166; 32608660; -1; -1; 207412425; 299413057; 370683703; 528881712; -1; -1; -1; 693115869; 744240742; 212015734; 377691022; -1; 503631203; 469345176; 58986756; 168512088; -1; 317920206; -1; 715345734; 271825514; 85799490; 945791367; 286474416; -1; -1; -1; 838944289; 70508284; 742434827; 371914245; 255503264; 375495590; 954416240; -1; 338750478; 601873197; -1; 305889461; 371470167; 200469243; -1; 909403001; 537198607; -1; 360896623; 566820429; -1; -1; 497767100; 800032583; 437110914; -1; 634207371; -1; 414928713; 941967633; -1; 359592404; -1; -1; 482254727; -1; -1; 584553654; 299637216; -1; -1; -1; 922166509; -1; -1; -1; 706905686; -1; 633381205; 970120677; -1; 76278088; -1; 301471928; 97208319; 725160644; 107721573; 423736832; 542237611; 622695544; -1; 605482946; 238091505; 70123597; 184589222; 108092512; 897907849; 969641691; 278899697; 77666625; 468414196; 583973358; 629146337; -1; 775540066; 223236673; -1; -1; 251382647; 856652306; -1; -1; -1; 101698235; -1; 713506751; 661550112; 816119092; 296314339; 684765966; -1; -1; 576828685; -1; -1; -1; -1; 626267793; 143919398; 728059818; 774529465; 334328700; 191045149; 979466215; -1; 370531307; 779121476; 324356569; 552136241; -1; 292150360; 764334971; 943124255; 924930887; 643342464; 782978492; 318760004; 808779528; 848825867; 4012601; 449993090; -1; 198974833; 117459539; 934926694; 779658942; 216122150; -1; -1; -1; 945410192; 30402577; -1; -1; 731280901; -1; 707713347; 718167577; -1; 268575360; -1; -1; -1; 343096822; 719366153; -1; 626147193; 451193434; 541153336; -1; 836722053; -1; -1; 455223161; -1; 473404210; -1; 583289816; -1; 945530787; 495351917; 151018373; -1; 923478210; 117561977; 218384880; 687572221; 147500427; 995315473; 258076642; 579565353; 619143882; 532783419; 944767125; -1; 486795877; -1; 978009080; 762348605; 355246229; -1; 983713573; 33429991; 187003400; 832764951; -1; 240826135; 835942948; 709593338; -1; 198892969; -1; 636152373; 737501001; 37355217; 201782154; 61436114; -1; -1; -1; -1; -1; 693760970; 710136675; 756497403; 451539851; 425102430; 942382606; 599889469; 832345689; 560660535; 107108220; 676774916; 313829003; 283332971; -1; 913743215; 799274439; 782973689; -1; 336861895; 687120341; 40101219; -1; -1; -1; 397088915; -1; -1; 131945226; 215826317; 451487901; 593522959; 163340873; -1; 945655414; -1; -1; 748462291; 334825363; 621718648; 858019633; 162337346; 264554292; -1; 272516637; -1; -1; 802430901; -1; -1; 671264601; 273804232; 8370130; 810908287; -1; 200091664; -1; 100612184; -1; 210871525; 386196771; 74933038; -1; 621082524; -1; 280430026; -1; 278606223; 310149853; 740529212; -1; 192218352; 433433766; 565600424; 900931949; 141652208; -1; -1; 718159734; -1; -1; 246025672; -1; -1; 309126142; 977535021; 649035669; 65612186; -1; 731308839; -1; -1; 738372771; 676958444; -1; -1; 492784765; -1; 776756549; -1; 709535685; 671030769; 441633214; -1; 201792177; 397769670; -1; 633097176; 361040346; 523607651; -1; -1; 314510177; -1; -1; 952138069; -1; 506745548; -1; 505857227; -1; 860106554; 316085384; -1; 329149059; 222783674; -1; -1; 900497186; -1; 694009999; -1; 79263058; -1; 226136973; 339145795; -1; 586610060; 97097201; -1; 560547940; 788044856; -1; 611341861; -1; 356574315; 297803396; -1; 303306453; 998890303; -1; -1; -1; 801023688; -1; 725702652; 237188671; 535503036; -1; 768933710; -1; 644115057; 630987112; -1; 992389050; 190284351; 973330329; 966745472; 837480920; 532772297; -1; 483668225; 405869594; 552124977; 188489353; 822464825; 607098209; -1; 109580181; -1; -1; 743435983; 461562404; 823961243; -1; 239528008; -1; 133214932; 391332553; -1; 398720653; 846421090; -1; 129637207; -1; 675946618; -1; 638260305; 419167174; -1; 903513247; 446263857; 274901609; -1; 974757445; 771022645; -1; -1; 962832777; 654077915; 712157414; -1; 164278617; 225558267; 833777552; -1; -1; 461047740; 89414482; -1; 938445979; -1; 96096560; -1; 331916146; 370932225; -1; -1; 987995759; 968772437; 686586829; 387435980; -1; 599289530; 776588888; 848728202; -1; 703175939; 49658800; 42373296; -1; 695229884; 133105395; -1; -1; -1; -1; -1; -1; 46635450; -1; 601513288; -1; -1; 782452182; -1; 409920345; -1; 36072691; 645914557; 984083868; 620868517; -1; -1; 225743763; 800309976; 567186922; 278185958; 487856434; 950382610; 153430398; 549946966; 120841514; 416330106; 44638344; 741954025; 464369407; 399797956; -1; 544460431; 346830478; 23548186; 588389182; 818471364; -1; -1; 884507850; 841217449; 9333323; 373706261; 14006913; 2259644; 417638423; -1; 735926759; -1; 970450503; -1; 328075959; 374290309; 452141415; 55946724; -1; 160186153; 575748636; 143481848; 947625971; 429695538; 708797713; 384641481; 963101471; -1; 278747725; -1; 366108092; -1; 776976938; 493903794; 430786086; 227409849; -1; 59545364; 187990668; 825460121; 602174474; 473802552; 286111732; 803532197; 948432019; 699027466; 461611987; -1; -1; 129222799; 527746129; 588532709; 320673171; 517887524; -1; 332465572; 597631577; 642043596; -1; 626449889; -1; 107411225; 249319821; 865344932; 156761927; -1; 339675017; 533094955; -1; 355332912; 583684727; 409003565; -1; -1; -1; -1; 698885810; -1; -1; 827045252; 713362056; 515567278; 368422854; -1; -1; -1; 42467428; 519301901; -1; 600197003; 586062702; -1; 343663399; 655660048; 50618488; 986447374; 805529467; 993274490; 656984477; -1; 547490024; -1; 512827441; -1; -1; 1703838; 201251182; -1; 304057867; -1; 143574689; -1; 83020104; 422644728; 117141600; 37348468; 515748978; 485382340; -1; 796552897; 421697729; -1; 712828708; 45666202; 560139759; -1; 999900020; 8700846; 406516005; 983447976; 849845265; 920787515; 174271100; -1; 253962151; 202899896; 18338885; 722954826; 669063232; 96152631; -1; 277397337; 229271998; 829578499; 559588255; 536275918; 722470635; 112665363; 853054449; -1; 289428215; -1; 245938738; -1; 699170425; 642302744; 880823554; 815914619; 19533509; 595312272; 898047017; 658907329; 469110102; -1; -1; 699459434; 308817249; -1; 887688265; -1; 248793550; 332549330; 348666130; 970636062; 868302364; 964955840; -1; -1; 73494078; 247617190; 322805775; 432443490; 400854177; 76269636; 349891017; 181336070; 207821437; 911278959; 470617014; 890964337; 625349073; -1; 115275669; 961714853; 299399635; -1; 16578360; 202439786; -1; 912444240; -1; 530970564; 580207342; 218918819; -1; -1; 6796873; 832880114; -1; 388952031; -1; 559491898; 400797205; 59861562; 856252064; 103943972; 958855488; 934248132; -1; 371474801; -1; 664755201; 789071184; 183070359; -1; 296766991; 175241651; 884097476; -1; 118982282; -1; 683382907; -1; 281091595; 785163713; 930481756; 476433860; 407381362; -1; -1; -1; 652331586; 327926464; -1; 729823513; 419502742; -1; -1; 101130750; -1; 878097698; -1; 400307021; 710682031; 135254196; 646901264; 230807043; 66622816; 525283534; -1; -1; -1; 129142680; 818783755; 234019317; 963933385; 60908394; 333339487; 392334490; 395675777; 819076239; -1; 36352515; -1; -1; 213143996; 913516255; 560800904; 975819899; 883331138; 85451251; 946274317; -1; 372301942; 405050938; 453607693; 422715353; -1; 824245940; -1; 859421409; -1; 74467039; -1; -1; -1; 714188759; 955543773; 661855096; 270158593; -1; 290526797; -1; 638992339; 699000028; 878807401; 679629962; -1; -1; 675653103; 330667577; 404257587; 311048212; 164492694; -1; -1; 702688358; 593033065; 846839566; 384626329; -1; 509729607; 451857407; -1; 490654487; 467404719; 601042407; 54210619; -1; 620035732; 909838113; 194118637; -1; 700562694; -1; -1; 401829302; 407704229; 93555389; 167926819; -1; 169285729; 552339580; 982507171; 309979829; -1; -1; 455375859; 152173071; 35106556; 704206101; 589832413; 743988302; -1; 847573014; 207269655; 496386623; 805195046; 200779247; 330196314; 117637235; -1; -1; 577605724; 835205170; 413235717; -1; -1; 742719318; 470964531; 414635751; 556610663; 343305219; 51125729; -1; 97480388; 853751585; -1; 791632847; -1; 813056034; 730947151; 312235354; -1; -1; 558743389; 626678239; 391454730; 453434803; -1; 677120197; 565128116; -1; 428994166; 658117984; 214500174; 511572813; -1; 93167379; 433102819; 84652849; 545898030; 856151784; -1; 712585397; 765237845; 347074348; 799859327; 178650195; -1; 130683960; 625954386; 821506373; 590695051; 971650070; 587985456; 549137392; 396578666; 208986670; 336732403; 228081420; 188401589; -1; 876756046; 346884472; 898903642; 620364890; -1; -1; 387212850; 830765681; 607910572; 213487871; -1; 618775089; 829930757; 15587706; 833750930; -1; -1; -1; 840166261; 212339402; 469543205; 911057457; 744961091; -1; 116415787; -1; 274264714; -1; 224953289; 466501483; 662654925; 824696043; 777304941; 320117770; 447211005; -1; 10733550; -1; -1; -1; 802825461; 954118579; 61705115; 191523492; 425043062; 358807620; 824770792; -1; 212822542; -1; -1; 284886477; -1; 906371441; 123954482; -1; 556125931; 944620523; 717108496; 788232287; 220917495; 195277862; 680513929; 362072119; 620123253; 373860079; 79382265; 948662511; -1; 809415858; 744065438; -1; -1; 692165029; 735410206; 591546321; 353985849; -1; -1; 727014089; 984899538; 786945903; 545571959; 840855769; 355533921; -1; 636653875; 738732868; 218443536; -1; 880297819; 161834665; 504427549; 554912156; 820829494; -1; 28165162; 470704349; 658152889; 608142219; -1; -1; 153665930; 365584005; 522376543; 905347229; 892623312; 980022281; 338107163; -1; 494071870; 10477951; -1; 441470715; -1; 596307150; 69744747; -1; -1; 327387232; -1; 38427427; 195335575; -1; -1; 128174640; -1; 696056687; 44973569; 720686163; 75067008; 175981964; 138486260; 617259635; 92545789; -1; 76010731; -1; 890981744; -1; 517170755; 735083283; 228712616; 983587173; -1; -1; 263387403; 971542780; -1; 390495906; 820996727; 302454961; -1; 86066154; -1; -1; -1; -1; 683078693; 693861886; 570029456; 169916168; 30521240; 313502900; 736735048; 970878698; 100224881; 624282302; 29871959; 137433209; -1; -1; 938858826; 496642922; -1; 166971965; -1; 810923665; 972344566; -1; 800388893; 385364382; -1; 480313533; 33872649; -1; 108492832; 83141432; -1; 692332553; -1; -1; -1; -1; 575451482; 163504170; -1; 759506976; 892178674; 624400267; 807307319; 87218641; -1; 412406358; 594508953; -1; 448446912; 960382799; 585733431; 752551010; 210038625; -1; 593652726; -1; -1; 866832988; -1; 690362964; 215241904; -1; -1; 155963975; -1; 166798386; -1; 541209785; -1; 138897062; -1; 409345363; 430958184; 947250974; 639489598; 803707629; -1; 624950269; 884583731; -1; 917654065; -1; 698775928; 119421367; 793917794; 619029347; 280164205; 635337241; -1; 849421742; -1; 679444669; 216241091; 914721038; 11971503; 302506594; -1; 400239321; 203689527; 779599388; 755184797; 843850063; 87947027; 305033847; 79344073; 197602709; 864311725; 874023813; 357270779; 361658476; 71876533; -1; -1; -1; -1; 633689560; 120933219; 859934457; 520476326; -1; -1; 586292099; 164081480; 960555275; 737864794; -1; 724591534; 169912119; 461861557; 2621765; 152219019; 679280525; 671837554; 324489764; 510400462; 616126104; 7154798; -1; 828690926; -1; -1; -1; 899167743; 521867777; 643927026; 909211977; 270476307; -1; 24818970; 30320246; 645751639; 195280508; 275684222; 172920068; 98259477; 225532878; -1; 774294639; -1; -1; -1; -1; 460490806; 717912399; 197040424; -1; 332172804; 865089930; 224423833; 876158705; 524292236; 38465349; 815666448; 351350956; 126849003; -1; -1; -1; 6221575; -1; 225948751; 653543546; -1; 937009371; 81410031; 335191044; 599434682; 888427144; -1; 101531917; 983657565; -1; -1; 432397391; 210197878; 999585172; 730488709; 174177256; 743875383; -1; -1; 562231164; 854132680; 727418980; 421325081; -1; 274654565; 114169410; 507915053; -1; 813091661; -1; -1; 80894041; 931764293; -1; 654608342; 205798679; 327776558; -1; -1; -1; -1; 997023538; 317616545; -1; 336642599; -1; 656816560; 306407873; 385354349; -1; 554035614; 436170063; 515544809; 863726006; 811062939; 647640320; 478959638; 554995875; 110167544; 218554015; 464608035; 758200852; -1; 509844851; -1; 82816154; 547305311; 953049089; 759065684; 404234860; 535997462; 819321833; 443679345; 517218132; -1; -1; -1; 885124334; -1; -1; 141063388; 360796753; 790601896; 509616216; 804960150; 66538063; 170003936; 328728250; 203824188; 757083417; 675748574; -1; 516065526; 604743129; 704202092; -1; -1; -1; 865935296; -1; 326063854; 624656309; 766586762; 557714752; 500047998; 538229413; 396314602; 425684199; 978876821; -1; -1; 613390501; 545036272; -1; -1; 295303834; 600891453; 388349262; -1; 54358109; -1; -1; 749570890; 443831629; 826499980; 497357206; 53196914; 565872429; 644302690; -1; -1; -1; -1; 557342837; -1; -1; 224384386; 174359880; -1; 481609147; 310089428; 544583863; -1; 291760819; 363341876; -1; 427524666; 522956045; 382714401; 928318311; 268371758; 879288743; 786845635; 671580740; -1; 601192416; 920095687; 914472037; -1; 744592218; -1; 898596067; -1; 449300007; 334277226; 922978172; -1; 824322638; 341223009; -1; -1; 996350533; 756778439; 24284802; 367658911; 961596386; -1; 434856053; -1; 605723219; 431897754; -1; -1; 970729026; 542853736; 977257504; 844972163; 612988374; -1; -1; 469445606; -1; -1; 972099770; -1; -1; 969030182; 738596814; 561895150; -1; 155873452; 888597630; -1; 925602528; 367337573; -1; -1; 400421232; 848554163; 807686667; 431856515; 520892194; 461319785; 967262737; 74787580; 612398744; -1; -1; 289819181; 448521858; 361028580; -1; 914761042; -1; 159242738; 950492876; 566835309; 240521698; 635659156; 398001994; 115229043; 204359511; 264763829; 160209775; 201197264; -1; 751003597; 453086095; -1; 12333652; -1; 892465169; -1; 133196892; 845976486; 521326041; 109518575; 768288342; 557816529; 441402837; 294816428; 685543481; -1; 942433193; 58495137; -1; 919082898; 312183720; 123088786; -1; -1; 11225410; -1; -1; 396274543; 302181020; 77932486; 708969068; 178011151; -1; -1; -1; -1; 624817901; 574919384; -1; -1; 282382003; 456573938; -1; 28565665; -1; -1; -1; -1; 680763456; -1; 58509578; 617225532; 19247150; -1; 640109933; 417866411; 103161710; 245901117; 778464071; 38277049; 67378008; 662769995; 825556008; -1; 896464894; -1; 921756635; -1; 528935858; 546073653; 868509018; 210278005; -1; 502093894; 564205865; 625116226; 721945417; -1; 864088704; 286890515; -1; 14282920; 789930032; -1; -1; -1; 851393555; 723756160; 582809718; -1; 696430950; -1; -1; -1; 686408904; 293692050; 380939056; 637996603; 134759608; 186627287; -1; 849590901; 166749636; -1; -1; -1; -1; 593205198; 350852566; 724141494; 673833429; -1; 939950425; 142184388; 859482314; 6739853; 590749458; 24987546; 847609754; 934816219; 627777054; 167363513; 668990137; -1; 214172675; -1; -1; 577028263; 951457595; -1; 776781753; 236733994; 623488490; -1; 296114573; 19604828; 762248880; -1; 756560235; -1; 993818464; 142079482; 52707799; -1; 264688145; 984582209; 392668334; 126866481; 400215567; 848069182; -1; 206482143; 696578179; -1; 841329955; 196126347; 644216000; 949480448; 998479068; 811085600; -1; -1; 563779560; 306131415; 501329593; -1; 669637360; 25779075; 295448539; 565940764; -1; 886421697; 797502615; 433912283; 624853122; -1; 166607146; 84078041; 480677969; 97420566; -1; 340956925; 284447280; 709540345; 55060099; 379266645; 143036264; 511369013; 479407631; 59597791; 712103670; 844487009; 392358555; -1; 662326723; 49724964; 533273277; 168324819; -1; 151006043; -1; 275467164; 358213544; 183961196; -1; 193945635; -1; 259849980; 379757862; -1; -1; 724055984; 792141479; 686666705; 619907557; -1; 684866394; -1; 636558050; 595342173; 832845729; 956020995; -1; 331937030; -1; 322808546; 165929260; 57233158; -1; 33588592; -1; 356812225; -1; 367252202; 372072543; 49369484; -1; 229931995; -1; 900190585; -1; 523053296; 436887927; 212883795; -1; -1; 750315005; 160153154; -1; 734208433; 853326374; 916456664; -1; 54503077; 878423693; 986976178; 786069204; 365591211; -1; 733542182; -1; 142657690; -1; 134682495; 158019554; -1; -1; 993729234; -1; 555855212; 465746306; 689473891; 968360537; -1; -1; 339130596; 175262424; 595519543; 218448448; -1; 267229178; 919610628; 724744069; -1; -1; -1; 892055053; 744037344; -1; -1; 843175385; 369400817; -1; 618880217; 768049258; 422100206; -1; 632537943; 613789323; 101663443; 797804368; 594887765; 512827767; -1; 578715180; 424864579; 934940146; 550482916; 564552698; 355843808; 313765680; 966328909; 403574411; -1; 108657695; -1; 22097391; 189429939; 786413669; -1; 281166213; 783524533; 140701111; 689150231; 563993271; 269346340; 89523573; 298359924; 495410011; 22946019; 77483426; 931702890; 457430368; 595131523; -1; -1; 34445370; -1; 935440403; 865156926; -1; 284775756; 450417628; 274763628; -1; -1; 680822394; 139578493; 467000628; 331948796; -1; -1; 904923276; -1; 483359997; 588882190; -1; 3713684; -1; -1; 625409909; 302431326; -1; 540563568; -1; 685997528; 724176203; 867393668; 228972131; 905833535; 461012903; 330738945; -1; 594315807; 705093493; -1; 589807720; -1; 671455142; 647283182; -1; 253212995; 771325789; 288726210; 932419671; 10903196; -1; 926873602; 115584314; 926381629; 142092348; 148262568; 202647826; -1; 311119961; 337531416; 93317057; 616315042; -1; -1; 8955423; -1; 476315935; 572097554; 545314147; 619058186; 269387110; 913585419; 867122456; 110362837; 316722051; -1; 660723445; 609429134; 402072884; 607581340; 473062145; -1; 532787270; 123453533; 722006222; 175388435; -1; 207974501; 710431815; 589030259; 220765304; 646895190; 861241061; 454569510; 638191774; -1; 882987801; -1; 392978715; 993978995; -1; -1; 70756201; -1; 515721465; 849685786; 77931296; -1; 7368392; -1; 811334157; -1; 186888299; 663183151; -1; 555958349; -1; 102744218; 370564336; 824599146; 956517862; -1; -1; 37907550; 642662881; 860881360; 942714590; -1; -1; -1; 204587772; -1; 222224722; 477710560; -1; 967733937; 971556624; 180019481; -1; 271735358; 364841176; 785177194; -1; 528407079; -1; 352833793; -1; 239610546; 961044999; 465160544; -1; 478460466; 307878202; 300807134; 306729060; -1; 278571129; 972444164; 707844249; 475113123; 529995197; 727982349; 412544133; -1; -1; -1; 794832756; -1; 719135538; 179550285; 850911695; 74599487; -1; 371287063; 26113039; 492169367; -1; 208609468; 819786669; 413461051; 700740207; 627328041; -1; 674274686; 946786988; 943011336; 996879656; 44303869; 958345643; -1; 469123433; 72552664; 545726079; 97350761; -1; -1; -1; 67176892; 683467340; 186078028; 384138036; 869189804; 453595426; 868214979; 274108014; 729438376; 137775770; -1; -1; -1; 154759140; 994230191; -1; 943007684; 331248308; 799671162; 888001088; -1; 229325976; -1; 879563215; 291647564; 683146989; 849428047; 60948779; 563510460; 528406199; 881078814; 612773768; 4665318; 177082464; -1; -1; 21424014; -1; 890699241; 483451339; -1; 770137379; -1; -1; -1; 729743101; 644386503; 226015246; 619266804; 503509373; 14272527; 917218305; -1; 456649810; 735328881; -1; 565751169; 302928294; 801564585; 806378277; 364774707; -1; 42090261; 629024678; -1; 698411763; 809628207; 694009463; -1; 485520662; -1; 932663309; 997983353; 324192751; 246806822; 335630638; 248710273; 360283636; -1; -1; 242811355; -1; -1; -1; -1; -1; 860297521; 409726797; -1; 24689259; 675926714; 244844887; -1; -1; -1; 534981046; 128578758; 990927500; 594394665; -1; -1; 400628933; 215275708; -1; -1; 913047037; 746411232; -1; 943292407; 867126021; 36571773; 975410385; -1; 732272990; 195005935; 33685337; -1; 874526813; 8664528; -1; 251009265; -1; 369844324; 270761413; 7609538; 184522681; 401702176; -1; -1; 296145970; 452155045; 509353215; 676255361; 365769763; -1; -1; 61300781; 606462429; 341794081; 207474251; 531317160; -1; -1; 384800359; -1; 848918555; 965129234; 861740034; 302969223; -1; -1; 684563616; -1; 203130220; 131646304; 31761768; -1; 624731099; 183837965; 797371859; 641767688; 105716895; 392267008; 956804493; -1; 339840882; -1; 979242210; -1; 170765779; 575846708; -1; 106683991; 427544308; -1; -1; 446568428; 487191533; -1; 93677016; 758000734; 919680627; 414883453; -1; -1; 983868606; 657639145; 876179731; -1; 954001093; 307043498; 327653981; -1; 242326595; 339974329; -1; -1; 999021929; 98411088; 839779314; 555105687; 391383628; 82927353; 689222439; -1; 876275883; 130902343; 542901775; 996878290; 197285804; 788842414; -1; -1; 236487477; 324106646; -1; 282826518; 189229341; 951236357; 642592046; -1; 313364223; -1; -1; -1; 183263125; -1; 927893627; -1; -1; -1; 148777016; 374716053; -1; 173369689; 156646515; 877974038; -1; 452020694; 351633555; 509044187; -1; 153331293; 399797334; 79029734; 703282650; 450360616; 176622947; 78195022; 864531520; -1; 492408066; 410138218; 792997904; -1; 560124971; -1; 191315542; -1; 560971034; 673136861; 416336143; 45840630; 813174390; 682016080; -1; 385279350; 173912468; 371164193; -1; 364940861; 267529378; 674497295; 609198650; -1; -1; 320287452; 139250321; -1; 451117131; 596454095; 628609834; 783023019; -1; 377324330; 440737983; 41174342; 943175014; -1; -1; 80507975; 655172252; -1; 670838650; 604243101; 586483048; 544867176; 901224296; -1; -1; -1; 333046893; 393734304; 703070730; 546127026; 140930389; 429936948; 561582689; 5446193; 611502691; 330564197; 218078680; 839250535; 501380097; -1; 17631050; 80818945; 390073302; 776611322; 995498808; -1; 101969630; 267482305; 53611377; 165412893; -1; -1; 229834046; 723406870; -1; 811173355; 667602792; 342233400; 421190815; -1; 55847556; 968316580; 807963742; 507287344; 176699438; 608533809; -1; 16390333; 166435738; -1; 751895064; 664651290; 833367307; -1; 545367310; -1; 474316605; 70891386; 813915801; 735864863; 664469844; 743841710; 918426184; 656710135; 439361620; -1; 599238254; 21405018; 880145306; 838701981; 897529102; 534248334; 513238170; -1; 534296900; -1; 874689324; -1; -1; 180781132; 839171163; 267529363; 914332455; 486309264; 347311029; -1; 300801452; 828431286; 154845364; -1; -1; 705352109; 142313080; 811196551; -1; 166256269; -1; 751453787; 783711677; 131103158; -1; -1; -1; 236986434; 346417661; 916648696; -1; 483475813; -1; -1; 719971102; -1; 439869600; 45503992; 357800944; 939570424; 258350849; 66603492; -1; 525560422; 293039603; 741338371; 573212530; 534343359; -1; -1; 799247824; 808757743; 170501096; 730331142; 365404871; 606450741; -1; 453690946; 970221660; 384280468; -1; 84946789; 415498163; 979944156; 933862518; 837635087; 997032188; -1; 362737165; -1; 974964412; 882820811; -1; 952327687; 787999850; -1; 396321018; 808918726; 113896112; 650796298; -1; 193206683; 967677343; -1; 750012499; -1; 339230572; 891905678; -1; -1; 555757071; 524359488; -1; 853971916; -1; 475791838; -1; -1; 929253984; 572658001; -1; 596495333; -1; 163210426; 257753630; -1; 94718736; 548141660; 60001222; 848664795; 954275794; -1; 708394865; 199024646; -1; -1; 846745804; 347898510; 888679786; 743138028; 451961203; -1; 819921716; 110709770; 683037267; 767349447; 971190597; -1; 261724190; 59914806; 784954766; -1; -1; -1; 496147705; 9375004; 432299787; 350301347; -1; 468676664; -1; -1; -1; 480320449; 359764932; 838334936; 331966917; 422645167; -1; 338558256; 778889702; 486228842; -1; 647450112; -1; 366291100; 708289934; 461819492; 227209899; -1; 126123473; 643721694; 698284714; 132866667; 957391295; 718319455; -1; 406286513; 469508051; 454440829; 474039800; 591237534; 502991581; 655993249; 331881643; -1; -1; 187838890; 625089847; 638128951; 770114946; 62883056; 780431824; 653893571; -1; 793748516; 629938026; 822621171; 669200299; 364807347; -1; 704906788; 261145105; 727130174; -1; -1; 241015809; -1; -1; 790760762; 256054437; 419422751; 743884323; 781251905; 272826893; 96708202; 567664536; -1; 665746227; -1; 142646395; 302782007; 676524503; 388956440; 445486710; 20900151; -1; -1; 542550025; 443605612; -1; 935285421; 973085060; 280317283; 384014205; 331358765; -1; -1; 907656379; 701767369; 788414877; -1; 391771545; 119078352; 382598632; 783643573; 439591729; 520974007; 66763283; 24864722; -1; 593846998; 848913362; 302505701; 866388463; 139670604; 60380919; 298129053; -1; -1; 326228379; 485663932; -1; -1; -1; -1; -1; -1; 798245148; 20507005; -1; -1; -1; 332041047; 34153303; 411539329; 198366267; -1; 567749453; 84580507; 557052228; 480930016; -1; 935565767; -1; 899917939; 742919833; 392580445; 237004428; 416599021; -1; 810677992; 558739038; -1; 750915792; -1; 17535327; -1; 580439181; 569462085; 149913018; -1; 579525065; 912674467; -1; 266003729; 666294612; -1; 346515821; 812004403; 633513350; 689155695; 527661979; 382143907; -1; -1; 716917688; -1; 681642616; 114401849; 755236820; 479323979; 278143675; 359108067; 449363429; 992202477; -1; -1; 940066603; 274312191; -1; 366643632; -1; 966219415; 756486560; -1; 494412162; 882448828; 437894508; -1; 700575520; 94217916; 357415771; 186759060; 709785521; 832445056; 995075291; 577444847; 789820475; 555404449; -1; 142190390; 434158597; -1; 87844934; -1; 255471322; 258529034; 528281836; -1; -1; -1; -1; -1; 901556227; 456177135; -1; -1; 647748910; 768948564; 675256784; -1; 705504423; 294936595; -1; 415546143; -1; 930051875; -1; 983967073; 576009906; 475530822; 368157208; 787368764; 567544838; 222517240; 509585421; 42682533; -1; 602956226; -1; 190223892; -1; 19714482; -1; -1; -1; 867267216; 383981856; 519156901; 24458765; -1; 336032213; -1; 850231734; 227441809; -1; 234607985; 553083019; -1; -1; -1; 720689782; 521313836; 748072371; -1; 874388507; 660857150; -1; 542774472; 902183381; -1; 774440702; -1; 470749673; 401271253; 268099527; 272482009; 480069236; 481983465; 681016199; 908187690; 450807969; -1; 774052452; 145471820; -1; -1; 295241882; 549555215; 261861174; 960966190; 4186168; 679646786; 646884933; 783275935; 40733098; 509382126; -1; 37221263; 737276868; 586347108; -1; 122083859; -1; 808101924; 851444567; 676317438; 761691206; 780235725; 656480518; 276479410; -1; 70278457; 865585533; 437195530; 773901225; 650829925; 679072292; 503811113; 465004284; -1; 212071378; -1; 297338789; 792741581; 852787036; 800258287; 818809826; 44225527; 637121721; 360642489; 805771434; -1; 614049250; 824474075; 601939354; 723647510; 736204402; 40566200; 669981924; 433682806; 456502874; 96563300; 259689024; 324237036; 305649822; 169989409; 895204418; 441982242; -1; 811292378; 927444167; -1; 628386080; -1; 72471117; 889403210; -1; 648261190; -1; 64519575; 208441314; 353471227; 38308290; 423266976; 90142191; 122886382; 403108360; 123259025; 428486043; -1; 157573408; 297491708; 735192731; 717850386; 485256063; 467427084; 587917414; 842667020; -1; 315621597; 988325090; 679581605; -1; 45459482; -1; -1; 42690819; 793825933; -1; 947443981; 742569575; -1; 122341955; -1; -1; 857798804; 18679092; 359617791; -1; 535932985; 537673821; -1; 406970501; 862791385; -1; 378197885; 478660042; -1; -1; -1; 127798735; 219865382; 11074206; 845018314; -1; -1; -1; 717654287; 306737702; 812982281; 470681730; 198679580; 866941186; 395734972; 249197085; -1; 291599982; 745492491; 16586439; 375945424; 775034407; 859156974; -1; -1; 811319360; -1; 31343494; 825993347; -1; -1; 863219585; 422390494; -1; -1; 112171807; 691869641; 912502793; 713773264; 442547915; 542880240; -1; 833174977; 282768879; 136712132; -1; -1; 428638594; -1; 836875097; 349797460; -1; 390633162; 684563974; -1; 517024523; 857902700; -1; -1; 874122317; 894193860; 844668792; 780546874; 357970067; 588762560; 116631402; 402478083; 883493789; 301987920; 253407886; 280166831; 338483477; 658901394; 814628470; -1; -1; -1; -1; 486958945; 178970987; 258058663; -1; 138933314; 719546464; -1; 743448999; 283237694; 467722078; -1; -1; -1; -1; 507409266; -1; 884604079; 723651311; 556863882; 384470595; -1; 47503796; -1; 19966823; 180719504; 313898167; 709165015; 956017071; 324230231; -1; -1; 82114709; 492787354; -1; 584155151; -1; -1; 135790835; 580200508; 193336590; 734263349; -1; 644311502; 327565581; 563280010; 429051460; 976152125; -1; 299107161; 831840248; -1; 861738654; 217690887; 437077037; 810260330; -1; -1; 685056845; -1; 280099020; 833414612; 739756612; 768997066; 193520053; -1; 358260932; -1; -1; 307901908; 909126725; 597505866; 50816852; -1; -1; -1; 138279608; -1; 297207586; 35340423; 67640137; 647457556; 287031425; 121146392; -1; 983113122; 291376355; -1; -1; 529399740; 290523878; 764941965; 114995227; 237672167; 552426995; -1; -1; 172267446; -1; -1; -1; 312843950; 39914362; 464418586; 367516322; 739158968; -1; 797377438; 787991561; -1; -1; -1; 679660086; 603156522; 632707059; 213038606; -1; 706036299; -1; -1; -1; 932054131; -1; 533093866; -1; -1; 120935346; 488710357; 912675453; 345919684; -1; 790712511; 771395752; -1; -1; 651556352; 575326125; 529544569; -1; 417949908; 473507285; 780017346; 942927717; -1; 915005310; -1; 804442602; 741406355; 567271449; 429782911; 537497499; 218349037; 34307508; 380532833; -1; 797411505; 296439473; 689881830; 583649169; 247371237; -1; 136694185; -1; -1; -1; 335091660; 184923713; -1; 530723804; -1; 317287896; 345389959; -1; -1; 579183872; 851370771; 954899738; 712880318; 962614470; 88302610; 932471714; 650566619; 995916286; 600084629; 32010552; -1; 951301050; 698275242; -1; 515697462; -1; 543933765; 358844444; 800483183; 142290836; -1; -1; -1; 649823310; 181670857; -1; -1; 731532104; 409338579; 248775154; -1; 771778324; 118318225; 382589552; -1; 375590153; -1; -1; -1; -1; -1; -1; -1; 87238692; -1; 867927489; -1; -1; 905014719; 84583155; 714715688; -1; 858712420; 846531951; 889432645; 5280827; -1; -1; 126719269; 322351696; -1; -1; 884752090; 699822714; 901861607; 310052324; 196417772; 83757457; -1; 980125888; 429992467; 459990229; 760645816; 735054500; 52541682; 490463713; 231873670; 944125073; -1; 752742243; 111323690; 166564571; 432209351; 679952878; 282890048; 861212684; 577433086; -1; 252093093; -1; 209834527; 630843943; 724627605; 493020900; 991171833; -1; -1; 837988189; -1; 395520614; 545133937; 850677160; 723165721; 29524430; 454128522; 56395280; 513570709; 944466302; 481244360; 247444540; 892344413; 197615779; 891885245; 219926029; -1; 396652979; 632413393; 128522372; 972072625; 198481863; -1; 490469273; 671163124; 542659707; -1; 616616669; 434542836; 487082236; 274701396; 230783209; 604019110; 800749908; 326054212; 780839576; 787888884; 74072588; 763329411; 102425729; 770884342; 388186440; 480569611; 116458010; 507787316; 863501429; 673100913; 746895454; 662404351; 268036774; 253640386; 842721084; 939823092; 31804378; 533488885; 878335664; 329241946; 733825995; -1; 274446126; -1; 641941761; 479375454; 61963494; -1; -1; -1; -1; -1; 780712037; 260042257; -1; -1; 757587449; 534377194; 120481285; -1; -1; -1; 285645414; 300201568; 941532055; 592217121; 629357075; -1; 63560849; 660977493; 176593454; 740928472; 344193425; 416962950; 849428271; 279995899; 227007890; 993280382; 424542177; -1; 267153851; 273751821; 604793332; 676474665; 971786915; 99324040; -1; -1; 721548678; -1; 231498764; 594221814; 192672209; 115842917; 982113870; -1; 208804552; -1; -1; 214639681; 957728163; 832470371; 811959955; -1; 504294506; 546064246; 722923034; 456295028; 899811131; -1; 554528295; 664770835; 432843438; 65590233; 632443715; 917932335; -1; 33852286; 958214185; -1; -1; -1; 4672859; 166049361; -1; -1; -1; 954861715; 763431902; -1; 939234609; 119251655; 736905576; 58288645; 691884058; -1; 911003846; 693321515; 796280386; -1; 582214266; 430245671; -1; -1; 810823428; -1; 711324935; 237437972; -1; 214868198; 498284496; 574285590; -1; 823616534; 474817922; 14568702; 28785102; 874032568; 651287833; -1; -1; 588425508; -1; -1; 424851429; -1; 58358326; 977944548; -1; -1; 211864014; 278585355; 885250635; 865870409; 474984350; 203998590; -1; 347636398; -1; 378613597; 653879755; 244770263; -1; 259428267; 323226468; 321175080; -1; -1; 611191395; -1; 812135456; 905245138; 282013499; -1; 63489645; 586194430; -1; -1; -1; -1; 30258675; 921769438; 463660626; -1; -1; 282263296; 378169854; -1; 28041256; 490916142; 717951968; -1; 342758627; 351493112; 396697459; 255515748; 410325844; 792851187; 850747510; 51384527; 195419178; 564808156; 826828221; 630061140; 316865321; 823050293; 464584415; 424475554; 162467512; -1; 10147878; 795556733; 383468383; 104730535; 259328594; 480649177; 282976293; 906886795; 715389601; 877870529; 294143594; 627133886; 191593247; -1; 844309437; 93978646; 80515643; 976876213; 86434767; -1; 819943344; -1; 403341912; 651342974; 882456736; -1; 586459378; 494012806; 378398871; 828457079; 294504307; 417213397; 179573797; 630967551; 711635832; 764810323; 235097332; -1; 925551394; 498615502; -1; 454981724; 73884785; 32197897; 945855056; 198055894; -1; 305207054; -1; -1; 378983731; 83547935; 746444398; 697653064; 823839835; 187509210; -1; -1; -1; 423037623; 16651400; 99016962; 975855874; -1; 503008828; -1; 918709900; 757754734; -1; -1; 335761255; -1; 926900614; -1; -1; 101304601; 953345517; 80344951; 194118985; 31013321; -1; 498105685; 849265484; 538679775; 935492404; 825375802; 913956582; 867924920; 589467063; 587328773; -1; 545621925; 96201333; 748148783; 355550198; 283855386; 474997638; 660188071; 971962611; -1; -1; 587511952; -1; -1; 559604341; -1; 844517800; 521771782; 321598728; 79866734; 136386595; -1; 777499589; 347337266; -1; -1; 928939697; 704625551; -1; 354823965; 82864311; 360426734; 657425597; -1; 794506858; 228422119; -1; 817275580; 626767225; 685848190; -1; 643320038; 308986591; 193180769; 417970416; 185509366; 703411016; 532754322; 428549494; 121349869; 139015582; -1; -1; 674393719; 73712920; -1; -1; 424132313; 489723152; -1; 803594256; -1; -1; 626648426; 304040863; 21380155; 629108518; 705433050; 792495707; 12790762; 632329067; 784918823; 970663033; 124845420; 42222704; -1; 699976512; 297118425; 977792332; -1; -1; -1; 7354828; 767921736; 473930074; 724269926; 582835464; 445220501; 494681691; -1; 897403185; 196021209; -1; 707681722; 987042720; 178061716; -1; 719785399; 903124961; -1; 921402533; 389459873; 568020080; -1; -1; 11510355; 911952115; -1; -1; 129438013; 4349998; 624853761; 547950532; -1; -1; 529337547; 911503478; -1; 797525350; -1; -1; -1; -1; 315107240; 481743186; 16591030; 396159290; 873387904; 870627455; 312966061; -1; 438353682; 606059391; 214052758; 8033452; 925842184; 2786431; 396597287; 62322818; -1; 237681184; 292263929; 238583552; -1; 348386497; -1; 884829020; 431475565; -1; 639225597; 899085494; 991764882; -1; 146791769; -1; 305084239; 590576150; 150814130; 713811141; 167654861; -1; 919048070; -1; 900533135; 181774369; 319073211; -1; 43448784; 694125898; -1; 984640665; 254910150; 144519653; -1; 197176345; 899309309; 868310425; 426903048; 345630885; 53192213; -1; 881234676; 48443344; 259052512; 907118830; 405365430; 913677817; -1; -1; 23913520; 837603809; 276008930; 715457006; -1; -1; 385600809; 846365550; 795176485; 300521705; -1; -1; 623901967; 695194852; 488568941; 815938011; 179327707; -1; -1; 605284636; 643507751; 366995745; 129831682; -1; -1; 986261509; -1; 482462101; 587120003; 300244950; 46747444; 555933228; -1; 979736776; -1; -1; 982586416; 985274917; 554509681; 132467040; 165210901; 945949736; 950503052; 433615247; 182778195; 900005560; -1; 175183269; 701434307; -1; -1; -1; 684286624; -1; 82185601; 705691979; 738220375; 993620952; 95049876; 278737001; 791006747; -1; -1; 866676280; -1; 615770110; 459682986; 492614917; -1; 530103961; 845274557; 145383385; 636540102; -1; 175354031; -1; 444525886; 111056630; -1; -1; 202664075; 275858200; -1; -1; 152932482; 825317261; 597243069; 469925410; 428644331; 940613733; 204513614; -1; 975259221; 29879986; -1; -1; -1; -1; 388836008; -1; 858631440; 27544385; -1; -1; -1; -1; 892043887; -1; -1; 368012520; 244754119; 139591461; -1; 245484441; 23396078; 300134169; -1; 717807626; 780164891; 245573675; 751127224; 887518240; 813453502; 852414725; -1; 214342291; 983466719; 397558490; 920267949; 985959269; 184429223; -1; 554443347; 138984366; 251144968; 665435833; 482600853; 673698769; -1; -1; -1; 918601582; -1; 32332004; 434497785; -1; 213074063; 396551016; 674882103; 711047604; 821074514; 506546198; 523542668; 697441091; 52598259; 705529247; 544311444; -1; -1; 617163316; 161379021; 931811155; 232560729; 737476360; -1; 804559920; -1; 662628957; 182353298; 301057073; -1; 418609577; 296635565; 467842330; -1; 732406694; 764367170; 901107243; 50139598; 250260847; 282692406; 260028435; 692229845; -1; -1; 114712568; -1; 409884476; 167704710; 573094486; 327842028; 319487935; -1; 214592497; 606733428; -1; 647404869; 230859689; 401045751; -1; -1; 395374345; 32849159; 861808285; -1; 867438660; 162192384; -1; -1; 146134832; -1; 889560956; 463259098; 167849123; 777795727; -1; 427165031; -1; 388417916; 146849695; 338479791; -1; 522863266; 422622095; 312014048; 652556602; 431389284; 763512778; 535818818; 717729868; 82488934; 729723299; 571134291; 606488773; 8277539; 415335615; -1; 47066511; 556786158; -1; 833022644; 433899018; 473338688; -1; 742994840; 697161920; 184447090; 350474456; 444285869; 937525406; 633648; 576022043; 191621204; 73857129; 536580125; 400249585; 221622845; 362515772; 342220958; -1; 279248273; 179673147; 431340559; 408827881; 602378233; 661672685; -1; -1; 459341089; 377367250; -1; 551827662; -1; 328807777; 297326519; 185231991; -1; -1; 117555391; 431638366; 651141558; 600672836; 504867723; -1; 476730663; 643536909; 700189727; 590018299; 715873324; 158517586; -1; 646762268; -1; -1; 875191712; 329570509; 711538615; 301394004; 449069863; 226933234; 382061412; -1; -1; 814784149; -1; -1; 981331511; -1; 767442783; 135125011; 604846689; 291634104; 167452348; 43731777; 547078629; 979212880; 611361738; 154365810; 872855111; 783228027; 689355831; 120888423; 832295695; 172837576; 135491539; -1; 408670191; -1; 122449933; 626481913; 630648005; -1; -1; 127842622; 900560003; 653888085; 432636096; 654754275; 106289196; 907921168; 487018684; -1; 540649180; 555820009; 866347261; -1; 700592909; 555163127; 588852269; 586444531; -1; -1; 282957175; 622118240; -1; -1; 838647249; 42262297; 222377413; -1; 258868487; 952157337; -1; 50719934; -1; -1; 188663625; 157367070; -1; -1; 894770459; 594389475; 842562680; 128241562; -1; -1; -1; -1; -1; 379612902; 945273325; 400643148; 766624038; 968134901; 913749313; 203055322; -1; 651917559; 120348109; -1; 100796120; -1; 127599693; 792552760; 463982443; 129078979; 739125245; 639312982; -1; 756247105; 158157030; -1; 644120406; 279292817; -1; 522656744; 332099911; 552005247; -1; 352752615; 661438746; -1; 586935114; 253602368; 686787485; 30331198; 272241182; 437982970; -1; 555301872; 128957161; 428253975; -1; 410634841; 60402377; -1; 284114362; 17714257; 553869010; -1; 330034785; 649213537; 688347802; 808957838; 880632122; -1; -1; 249125834; 758469159; 839611008; -1; 422423962; -1; 137800339; 799242165; 749128807; -1; 877579628; -1; 447968418; 32449383; 116764622; 137945176; 511239426; -1; -1; 121889569; 903786630; 741551573; -1; -1; 831460640; 409481979; 791146776; 165935747; 669106337; 549886816; 278592555; 294913251; -1; -1; 919574099; 782054865; -1; 43543909; -1; 204404157; 327632486; 540967508; -1; -1; 657500796; 717035176; -1; 944831715; 197906829; -1; 499024015; 34423322; -1; 560273964; 20017142; 511381904; 111682725; 304552659; 831092602; -1; 924896780; 836741468; -1; 96831801; 629919941; -1; 493128451; 496985290; 702049486; -1; 270646438; 868520429; 923020462; 395347320; -1; 325027037; 111584483; -1; 498128394; 890198976; 914197742; 416752569; 568824000; -1; 257201217; 730453719; 431712045; 289242600; -1; 285018627; 314694137; 115670092; 318938189; 19002277; 28163980; -1; 120290275; 74412584; 211894646; -1; -1; -1; 886806649; 707833145; -1; 429872498; -1; 556755764; 455839296; 967021568; -1; 291051018; 222520479; 497525797; -1; -1; 820713257; 887042384; 836768412; -1; 957089664; 761460963; 695843330; -1; 530879428; -1; 427116334; 252782152; -1; -1; 332578793; -1; -1; 596267590; 818573986; 53067692; 95891049; 478293594; 351985644; 731044248; 867874561; 107237219; 92138224; -1; 450782699; 88929844; 13907117; 372281554; 539453009; -1; 187541739; 13046643; 297676177; 970979787; 860667105; 666744740; 687139392; -1; 959218901; 348939194; 620568625; 665414371; -1; 869225164; 141451751; 928036534; -1; 858646172; 384600213; 435471109; 12731982; 476438410; 399110559; 501526504; 490517593; 483543615; 209994652; 873204508; 731148373; 48926687; 118176696; 689249195; -1; 636310376; 207994614; 14469818; -1; 133982542; 556228562; -1; -1; -1; 125008458; 642130481; -1; 71533323; -1; 344924273; 94939827; 893715217; 418237166; 965391482; -1; 572478667; 277776492; 711434183; -1; 831631772; -1; -1; -1; 410381040; 190656405; 636943583; 852291394; 588133276; -1; 755395676; -1; 248270838; 542467339; 689957962; 241037952; -1; 691663777; -1; 471788473; -1; 838468791; 316201011; 982848543; 744450576; -1; 822237847; 882431767; -1; 282744295; 880225644; -1; -1; -1; 95136436; 244298726; 724684756; 851337075; 537260557; 116434738; 500834030; 573579752; 634889005; 199431149; -1; 855694231; -1; 884803369; -1; 159872409; -1; 818009338; 947743928; 112876534; -1; 58880135; -1; 425258388; 804752342; 782848799; -1; -1; 107507993; -1; 176958895; -1; -1; -1; 994899524; -1; 265974023; 82392148; 734914865; 165315812; -1; 61188858; -1; 210095175; -1; 789097433; 695283273; 692376519; 156381286; -1; 57190511; 220879230; 87541043; 972716546; 975636403; 761372175; 382502640; -1; -1; -1; -1; 859169626; 401609816; -1; -1; -1; 186355196; -1; -1; -1; -1; 768071369; -1; 292206417; 853369918; -1; -1; -1; 962543147; -1; 930170574; -1; 328666586; 135186723; 912846249; 351464565; -1; 694780675; 25194395; 671165824; 62960083; 844170887; 330644827; 39575180; 70472234; 136236460; 333023215; 362645301; 528118949; 418049745; 914720482; -1; 144188958; 189548698; 398628970; 13556599; -1; -1; 248601126; 15824233; -1; 778043744; -1; -1; 255799992; 383906566; 28869076; 291186363; 770461271; -1; 643710235; 721913811; 383598030; 532977048; -1; 115976135; 232784225; -1; -1; -1; 937280523; -1; 298246965; 889328959; 890276269; -1; 992686989; -1; 28224759; 483363329; -1; -1; 245936782; 725824003; -1; -1; -1; -1; 443061279; -1; 160485285; 803892418; -1; 162399980; 179859654; -1; -1; 26515890; 952015091; -1; 413568402; 543024175; 640551030; 946705016; 180444646; -1; -1; 184726898; -1; 979919901; 195180893; 373721220; -1; 221365190; -1; 124914996; 686060098; 187715871; 310780957; 13785845; -1; 374192260; 237470328; 537127579; 190616248; -1; 546198329; 377263100; 407887161; 775912159; 441443626; -1; 974278034; 605266640; 214677215; -1; -1; -1; 285884715; 693524344; 482925399; 680707932; 180834039; 519378818; -1; 205874172; 363938793; 864559863; 61610439; 443239334; 53347735; 862919001; -1; -1; 810453327; 244663335; 199536345; 14488204; -1; 314506643; 175449045; 390962440; -1; -1; 961299569; 222998553; 572150174; 761658666; 231231322; 933004124; 987744358; 228001213; 856500242; 808842720; 257226106; -1; 922170046; 577973101; 242945113; 902461090; 850074777; 253827022; 440607710; 343283255; 299967917; 437057091; 548341416; 972942894; -1; -1; 657873280; 665450129; -1; -1; -1; 62657951; 698089125; -1; -1; -1; 425327301; 845649946; -1; 44055324; 48280674; -1; -1; 887261215; -1; 561770192; 41702980; -1; 668740329; 985474891; 943005134; -1; 454482636; 187637607; -1; 447071742; 90809617; 426962559; 423530925; 911287805; 781045429; 309893819; -1; 891184599; 781188488; 505244769; -1; 809153281; -1; 806872636; 779677737; 325796062; 937634079; 431224912; 422907301; 615085208; 295315522; 244042455; -1; 933802762; 97321411; 104811245; 362785973; -1; -1; -1; 958653351; 43380350; -1; -1; 278013899; -1; 677259955; 635554576; 86334528; 610345593; 411140256; -1; 176439039; -1; -1; -1; -1; 688640713; 968367474; 4115552; 4646099; -1; 410343128; 496860571; 999730239; 277027779; 619577228; -1; -1; 29424636; -1; 758132932; -1; 2841972; -1; 66805075; 654597963; 431011022; -1; 418785468; 295116324; 515671802; 966469579; 609506051; -1; -1; -1; 509929198; 645722481; -1; 565847318; 761754118; 6468449; -1; 132364805; 156028334; 991626897; -1; 394021444; 625757877; 785435473; -1; -1; 525796656; -1; 378801241; 264804102; 933718449; -1; 112906387; 294859481; -1; 440840538; 619158797; 715075512; 922086549; 30244681; 805527434; 534926676; 700429776; 321366061; 804458183; 815578238; 423209650; 386366404; 620677771; 470274073; -1; 516077488; -1; 649469109; 732686934; -1; 378063284; 257659567; 341763041; 555624370; 242797326; -1; 655268136; 458708318; -1; 145412178; 860103877; 78689599; 947910270; 2704884; -1; 244782438; 14475337; 441099905; 622648839; 172168690; 287114987; 893518231; 536356886; -1; 651390741; -1; 615964924; -1; 729589005; 843516179; -1; -1; 355270727; -1; 612208136; -1; 85773702; 772665667; -1; -1; 645410142; 636084983; 190702712; 252015338; 28109758; 980596307; 374632567; -1; -1; -1; 696589070; 642583246; 558404496; 157522844; -1; 331474777; 436869617; 552809099; 837866440; 373201972; -1; 785122219; 562658475; 704409983; 714981122; 184225004; -1; 999694085; -1; 139625344; 362752061; -1; 788170060; -1; 832958859; 114680925; 486414354; 365750445; -1; 377594081; -1; 200922190; 111199052; 502176057; 111726688; -1; 222188659; 436489591; -1; 232391235; 923059550; -1; 711670300; 646349949; 533191040; 661880689; -1; 226905004; -1; 856832154; 57314894; 340150939; 784821291; 978267442; 766971085; 804457896; 965606505; 628899765; 253540814; -1; 75486933; -1; -1; 426303499; 384919361; 458288007; 58698908; -1; -1; 165365199; 481238449; -1; -1; 887722634; -1; 768483268; 733217252; 899554446; -1; 138403367; -1; -1; 434053508; 369725204; 490594786; 565447945; 772706067; -1; 61537436; -1; -1; 914640676; -1; -1; 507815102; 30365367; 969828532; 249352589; 466020788; 16795413; -1; -1; -1; -1; 279593637; 756393610; 165374169; -1; 83029087; -1; 55188748; -1; 290594525; -1; -1; 730350413; 759052654; 476069532; 382551044; 846557351; 77775457; 711296601; 208634108; 776984134; -1; 645958157; 856127642; 449540655; -1; 206478067; 366413439; -1; 171757968; 381141324; 970523639; -1; 124958062; 221541628; 508264476; 131514192; -1; 219437575; 757214684; 976008940; 263749831; 401219257; -1; 436716194; 750747226; 752910752; -1; -1; 305887555; -1; 364508786; 168377872; -1; 228198906; 941619348; -1; 763013192; -1; -1; 8298334; 786198083; 551726432; 39051034; 706519279; 932445070; 898158069; 554802402; 147601359; 909261315; 878307200; 507100118; 818697431; 707362312; -1; 870327250; 727279307; 832053607; 715081021; -1; 319437136; 648810002; 785775175; -1; 925837100; 455355290; 202545002; 969421549; 383263319; -1; -1; 915353333; 374193258; 340740744; 367291542; 941657646; 640845956; 436746268; -1; 154308088; 596949967; 1129319; -1; 776738999; -1; -1; 812831860; 606713438; -1; -1; -1; -1; 276388125; 120276604; 92501619; 515924895; 605770520; 77843597; 807117959; -1; -1; 727055589; 702104886; 77130430; 166267138; -1; -1; 104800479; -1; 996350177; 470101333; -1; 519033851; -1; 178118436; 844009233; 743437823; 966844262; 751838620; 164117941; -1; -1; -1; 429389816; 449780817; 396589235; 50297180; 513723287; 956784482; 149662331; 415907208; -1; -1; -1; 132196626; 728208904; 188631998; 267663003; 540715628; 37676980; -1; 110821465; -1; 681630639; 486645784; 377563971; -1; 214854671; 398671927; 997588509; 702082956; 672338127; 482921364; -1; -1; 755065568; 880401707; 652415520; 798424777; 94428304; -1; 635720974; 620164091; 540143951; 776263771; 612751286; 329606969; 919338838; 902606942; 806087175; 727392429; 325216076; 377264545; 575184294; 925052005; 606040866; 604455512; -1; 973779048; -1; 672094455; 757151760; 178184193; -1; 83612264; 372561049; 452930627; 951080274; 815492188; -1; -1; 490618469; 349670525; 615216187; 220462262; 144459453; 997798917; 298391950; 676686413; -1; 960961329; 698773490; 652263412; -1; 944341710; 78356723; 520871532; -1; 580988288; 921935015; 119581115; 604538957; 38587449; 708577419; -1; -1; 307292116; 430494333; 205171822; -1; -1; 332656810; 960498994; 252956556; 805360720; 369743593; -1; -1; 834264914; -1; 305250088; -1; 769740779; 51924894; 745835556; -1; 585082798; 993141015; 894264508; 497009432; 995704368; -1; -1; 361121296; 390780859; -1; 610815574; 508120880; 399569813; 727973269; 863875985; -1; 716502780; 546385289; 256399151; 558573128; 962527823; 891051651; 419293551; 375831937; 781443419; 156587004; -1; 437892269; 644928431; 719097414; 77428818; -1; 891129563; 647674661; -1; -1; 887856845; -1; 610499262; 762663671; 496506796; 647720780; 579367140; 811590506; 692210336; 619475263; 582677919; 210735195; 216156227; -1; 362702435; 420121237; -1; 398149999; 846397792; -1; 897854034; -1; 543662665; 437160888; -1; -1; 991857192; 132893765; 816269046; 433755752; 413347055; -1; 147668700; -1; -1; 384050737; 110274580; 843162230; 617923513; 731030169; 597419883; 52556142; -1; 117520261; -1; 417807354; 285794660; 267148053; 296178740; 827336206; -1; 156464060; 989273856; -1; 468423139; 419207349; 425930774; 593784814; 130145309; -1; -1; 407446210; 616650872; 141384266; 817961626; 210753880; 563665549; 183317349; 991623497; 522651971; 93388661; 707551943; -1; 734628935; 788572015; 935920014; 689423802; 897350800; 6476270; 434062652; 324671633; 257475901; 985890167; -1; 971663960; 155839207; 487602766; 448648829; 915570992; -1; 524698940; 178649312; 915287105; 899755959; -1; 39593726; 839620171; -1; 664904732; -1; 499454183; 577545786; -1; 188264801; 561043085; 941920899; 352887851; -1; 841248551; -1; 692775220; -1; 862219861; 732207097; -1; 470853066; 39676220; 191046726; -1; -1; 182584407; 550030984; 929357513; 297168564; 943860158; -1; 559220371; 39044014; 44509402; 875936062; 796141686; 48498616; 666039143; 46632226; 339670024; 444699178; 541759708; -1; -1; -1; -1; -1; 377799446; 271596814; 461248091; 122913360; 967040548; 387626093; 343571548; 450548478; -1; 349815607; 313350880; 479318299; -1; 881021594; 983966740; -1; -1; -1; 317210928; -1; 370413802; 450728205; 467893774; -1; 3365073; -1; 530333806; -1; 923285602; 46097909; -1; -1; -1; 56925215; 127212533; 874570327; 918877560; 430405969; 291418064; -1; 398763214; -1; -1; 335734743; 369920084; 381483805; 100687495; 390144522; -1; 572039633; 970395785; -1; 332627138; 628035896; 976774954; 897941406; -1; 549969595; -1; 694194928; 558192435; 996008073; 815676580; -1; 503219246; -1; 642011367; 873603967; -1; 396167890; 151477457; 690509229; -1; 451682456; 877699302; -1; -1; 355253973; 51661964; -1; 723172047; 887632209; 8736677; -1; 587380242; 582882897; -1; -1; 996505270; -1; -1; -1; 921247732; 507839666; 482484176; -1; 372095036; 551204759; 589768273; 836822304; 319880955; 841309711; 78467079; 168982770; 774898731; -1; 898633673; 652996746; 393351202; 418283352; 981765688; 588316035; 136653274; 402292634; -1; 39656621; 285790873; 725436598; 542699404; 644366136; 286118304; -1; 893634996; 423982608; 766269535; 721468251; -1; 834158399; 304002037; -1; 865064749; 944564195; 18745565; 854956614; 763363467; 223826695; -1; 105884159; 809914243; 597702395; 160967992; 144223675; 675693231; -1; 652237344; 244368598; 827203649; 400172136; -1; 832975863; 690009331; -1; 548675752; 406007038; 57076286; 981060394; 895656378; 426382020; -1; 297331309; -1; -1; 46024376; 438567401; 402692425; 4529373; 112086219; 504168433; -1; -1; 229959936; 253055383; -1; 841196991; -1; 696145614; 110512681; 380753199; 675778390; 362380126; -1; 631687307; 258545903; -1; 552524587; 441293073; 43634056; 73336337; 241850937; 982802460; 280734302; 409085662; 877779796; 828576323; -1; 527186664; -1; 589440573; -1; -1; 142603840; 948693776; 543840710; 938423176; 646797378; -1; -1; -1; 25308900; 819345865; 55260732; 978595747; 796055596; -1; 111843304; -1; -1; -1; 896783628; -1; -1; 979717737; 54955811; 341446697; 449212834; 540822266; 825017734; 650602990; 63707984; -1; -1; 351151599; 208608077; 861544019; 626015225; 719713729; 501642347; 955571828; 154258982; 787999297; -1; 836928138; -1; 959191222; 148823324; -1; -1; 839354242; 446006185; 82755814; 997435913; 770802870; 529512681; -1; -1; 316736580; 635154924; 977497960; 274882333; 449953933; 879451985; 694367363; 813128360; 678555804; -1; 250323358; 959193198; 558828227; 93609636; -1; 284587791; 394948705; 545137987; -1; 323950464; 751329000; 58200829; 79157861; -1; 300895051; 515931429; 249453754; 997474573; -1; -1; 199290521; 823560967; -1; 517049285; -1; 918378478; 770923850; -1; 214162573; 40792038; 75870820; 815907193; 408351; 15004533; -1; -1; 85762398; 875065549; -1; 496083123; -1; -1; -1; -1; 712358658; 263573273; -1; 897695401; 38938926; 569698578; 616770869; 566179050; 337598901; 896740136; -1; 498593930; 25816746; 913355099; -1; 912681667; -1; 911826216; 709501375; 424261481; 382329028; 222747697; 139801394; -1; 739428364; 390662768; 511850536; 577706035; 608904658; -1; 628975041; 933984459; 928704761; 707221846; 928225978; -1; 908970797; 894775173; 884879937; 185539817; 466475137; 865994422; 501802084; 584983724; 602005381; 340453139; -1; 543643716; 447128983; 452863521; 404315880; 529128334; -1; -1; -1; 74036142; 832515534; 632010240; 827190471; 431982570; 49272910; 896639142; 890015250; 912777219; 404724935; 18010443; 701360172; 219282772; 2328330; 612548606; 7067822; 284651399; -1; 391383514; 463677812; 396808518; -1; 615128106; 369517439; 812809354; 370587198; 579380088; -1; 717412570; 910609515; 87476628; 927673214; -1; 880987269; 457518216; 363809064; 45360707; 322739196; 588760185; -1; 68217942; -1; -1; 584375874; 914144344; 590133124; 697654257; -1; 58800580; 167374225; -1; -1; -1; 373773371; 145091020; -1; 442970415; 50376550; 615820601; 395585580; 711569353; -1; -1; 87931284; 842238648; 661109600; 173184886; -1; 3526670; 657698452; 429399624; 222774158; 688427422; 969187445; -1; 605088787; -1; -1; 777778016; 417612867; 600623368; 59623390; 917314459; 278403661; 477255766; 492594762; 89991985; -1; 314733216; 311322623; 991190655; 512135418; 625840225; 583029552; 860402357; 776493371; 314696654; -1; 121987564; -1; -1; 260826700; 840344673; 465984101; -1; 750938209; 869007561; 972069243; 791540215; 612821385; 988868057; 331588922; 484366652; 599121338; 358119216; 378680990; 731635445; 965850401; 18869286; 439427709; -1; -1; 592787137; -1; 697472642; -1; -1; 682855970; -1; 324565981; 804481930; 337656389; -1; 30977642; 526741204; 634868578; 589594101; 161563682; 895222490; 528314069; 264321310; 634329811; -1; 527292712; 960095959; 709580621; -1; 452835622; 995622019; 196702219; -1; 765216802; 790747237; 770353001; 458538087; -1; -1; -1; -1; 629770042; -1; 943070553; 568385337; 158284738; -1; 423126840; -1; 841259972; 341535018; -1; 632962198; 501580588; 726690852; -1; 40651296; -1; 315794157; 949217923; -1; 154960046; -1; 3227784; 855845892; -1; 982777284; -1; -1; 637777453; -1; 252033035; 917173853; 836463171; -1; 520382051; -1; 86345915; 733009570; 880717957; 186350787; 27168734; 582306846; 204238598; -1; -1; 753525717; 708596730; 369494873; 613625621; 437575343; 269259258; 158449836; 641363867; 78124514; 273301261; -1; 221329156; 146919186; -1; 734748731; 69137318; -1; 812827488; 63743144; 181976942; 656754998; -1; -1; -1; 827453931; 24926689; -1; -1; -1; 204150106; 287446747; 53431639; -1; -1; -1; -1; 389093116; -1; -1; 595686618; 166276005; 577807921; 107996993; 951335532; 459760456; -1; 877743407; 464072457; -1; -1; -1; 209690146; 951893233; 67195360; 863310032; 280004374; 932579456; 716009923; 130731058; 815603041; 653602078; 395169769; 483680372; -1; 42406091; 854276467; -1; 934940131; -1; 188449593; 6188455; 883431618; 991467187; -1; 48167160; -1; 745088381; 119303539; 769102197; 869884812; -1; 674734355; 805395658; 687588136; 171821102; 679549130; 860321560; 391774597; 534768506; -1; 901915916; 983654979; 904220562; 665863856; 976345618; 637524024; 538150200; 457466159; 772609467; -1; 263879341; 123743083; 164016879; 306009344; 817870788; 193470143; -1; 81810293; 568369701; 537673865; 949609041; 117913300; 8150402; 406947317; 448497164; 173133839; 71567187; -1; -1; 520197061; -1; -1; 788438088; 453242803; 981375701; 965507416; 62847256; 786539952; -1; -1; 94919539; -1; -1; 2838190; 263941428; 698101723; -1; 384443959; -1; 692824790; 602750729; -1; -1; -1; 230684184; 851870657; 923167393; -1; -1; 136500528; 85824620; 6133123; 784115238; 244924056; 419093017; -1; -1; 539423528; -1; 559135345; 401905620; 917326138; 935651903; 852779314; 338097376; 785499999; 813301708; 739520646; 355581270; 961879023; 84328013; 689863600; -1; 547104693; 12489587; 626496080; 951922739; -1; 115449303; -1; -1; 578099090; 424008998; -1; 400478952; 112592284; 277402038; 745739402; 236452199; 941018399; 224699633; 685217199; 583237789; 869159583; 588649743; 50454792; 531117559; 368927175; 686679048; 960965134; 339641949; 255163813; -1; -1; 976290949; 225020699; 504219841; -1; 900992395; 672939173; 583371600; -1; -1; 758483670; 11979474; 285132938; 5622096; 484679829; 762855543; 713365628; 386634125; 235531671; 212326465; 586619742; 968360680; 845501290; 408851592; -1; -1; 242790229; -1; 870382776; -1; -1; 249357052; -1; 755953422; -1; 744301307; 569890823; 184566139; -1; 648920396; 551655078; 330045695; 650651820; 263967997; -1; 671528654; 13414544; -1; 743564129; -1; 832476167; -1; 780326137; 964920030; -1; 564474890; 761155225; 892909156; -1; 747880382; 332646531; 363847359; -1; 958187936; -1; 117028158; 174251928; 309766578; 627165646; 159135591; 332185835; -1; 71791035; -1; -1; 367066410; -1; 725811418; 323757371; 968722285; 753587136; -1; 799965712; 158391226; 629335418; 57774605; -1; -1; -1; 388832966; 647486433; -1; 786124576; 356906975; -1; 61546139; -1; 305272490; -1; -1; 249934822; 541727458; 232402007; 407906574; 345504687; 609412082; 33287026; 995512258; 981216902; 204216190; -1; 71902944; 132010139; 780747567; -1; -1; -1; 601577089; -1; 934582399; 35965024; -1; 221252937; 899458176; 572248458; 36224327; 943953893; 251441873; -1; 664642817; -1; 867578945; 99248335; -1; 671947481; 787377508; 689718651; 495942286; 249858044; 422080783; -1; -1; 130884145; 375746596; 900190813; 320307050; -1; -1; -1; 942966931; 984985503; 297318774; 778739136; 639832135; 894415603; -1; -1; 342420686; 552905057; 183624706; -1; -1; 481608339; 687462833; -1; 810329132; 456441464; 351608090; -1; 501647170; -1; -1; 749359123; -1; -1; 251739035; 804599011; 514020884; 653703609; 624281074; 794522334; 625387144; -1; 159443224; 229917772; 221627984; 980954534; -1; 382976988; 884833249; -1; 166236431; 805356458; 165747117; -1; -1; 540284738; 875682671; 272731551; 841301957; -1; 424102068; 917382811; 478688219; 242279582; -1; -1; 646453363; 246069226; -1; 731348039; 807451032; -1; 224984492; 549884955; -1; 452692431; 924808459; 904112508; -1; 17269389; 803441680; 801865776; 433655467; 96055852; 34839207; 537950973; 998574758; 10241740; -1; -1; -1; 531303893; 593918174; 209221654; 746108131; 976931611; 998474480; 948003340; 292960022; 358095714; 601617815; 704910906; -1; 596152866; -1; 47987014; 873519908; 330469946; 483919178; -1; 570968650; 235108363; 660034887; 959673429; 639152859; 966434744; 296674559; 87415093; 653414857; 872363521; 968381852; 279085119; -1; 495634341; -1; 35517731; 846767449; 666568228; 238055354; -1; 816448250; 548750336; -1; -1; 855317825; 608672811; -1; 674448150; 457469558; -1; 902753473; 732052064; 980970074; 899691253; -1; 610811215; 788789744; 666324766; 711010217; 356297303; -1; 490298550; 761636938; -1; -1; -1; -1; 880348545; -1; 35292026; -1; 747710725; 579677648; 136270167; 457729496; 816257613; 517121167; 793578195; 239801939; 384472724; 312723793; 276788001; 625568149; 553983464; 68418256; 999805679; 905046317; -1; -1; -1; -1; 683068320; 456610885; -1; 35094333; 925302923; 330817196; 109174754; 802660053; -1; 432395511; 388964778; 595770448; -1; 575583296; 312562242; 34544826; 208304019; 787787835; 112454492; 955926344; 121670611; 681457006; 52527325; 750266027; 936490271; 856115649; 411405168; 320337310; 172794081; 189280330; -1; 703712881; -1; 490567027; 39850484; 803308877; 273026230; 542219068; 367852098; -1; -1; -1; -1; 734228096; 435163791; -1; 178086847; 655650856; -1; 688346095; 605187899; 132790986; -1; 333023747; 995881003; -1; 886505856; 769375725; 124388474; 595079510; 421786434; 557389949; 31519961; 762868071; 272078921; -1; 754126415; 472244152; -1; -1; 224253213; 398624648; 742437947; 379278284; -1; 537058541; 277619901; -1; 95629512; 344780512; 333602117; 89869162; -1; -1; 98924422; -1; -1; 923743627; 842723847; -1; 482224920; -1; -1; 863340370; 848743806; 132069115; 458923152; 634981236; 996793355; -1; 629904949; -1; 812974239; -1; 856971808; 860619077; 617401748; 663731170; -1; -1; 764548909; 223961357; 851962634; 339838344; 323204121; -1; 295998526; 37319312; 779931657; 237749057; 763092071; -1; 843586588; 830650948; -1; 38813170; -1; 228096939; -1; -1; -1; 564735537; 321612539; -1; 641207737; 390754942; 125549713; 161473077; -1; -1; -1; -1; 845808185; -1; 875998059; 122614420; 151473777; 224333163; 911235093; 639904264; 786684863; 887616274; -1; 283455273; 166617364; 929993475; 96992597; 455237302; 892431529; 57366852; -1; 299772672; 819481527; -1; 778739133; 68988773; -1; 268073954; 553213092; -1; -1; 989565454; -1; 320388069; 142726606; 214998676; -1; 703712283; -1; 734469190; 836943126; 932981727; -1; 467907670; -1; -1; 378022210; -1; 780970372; 818940529; 257205764; 475551865; 113873802; 894968028; 416718995; -1; 854381839; -1; -1; 797222669; 458950610; 487220454; -1; 574972935; -1; 831363509; -1; 979417369; 977828863; 718455697; 924441924; -1; 405536759; 326548698; 616383899; 671783948; -1; 115602495; 33250628; 334849338; 926150404; 103041281; -1; -1; -1; 80569193; 613453020; 179758906; -1; -1; 456515658; -1; 650964962; 232687164; 888685170; -1; 405388874; -1; 921780429; -1; 599325273; -1; 304014112; 524881637; 374427300; 421197367; 154962984; 951135535; -1; -1; 611267294; 233898074; 307255198; -1; 796949277; 524647921; 224847990; 137048696; 575050650; 227580429; 252006839; 319125162; 216633460; -1; -1; 216824361; 342057221; 674306364; 863989934; 151186087; 569894653; 261193980; 569864832; 935603750; -1; 821595680; 980528457; 978228920; 251076468; 602932693; 929925658; 988639185; 569514742; 251613709; -1; -1; 401801726; 625424355; 152472416; 28209594; -1; 342281219; 74363152; -1; 442197295; 650290909; 29244505; -1; -1; 237733539; 967270247; -1; 807002144; 969520927; -1; 196628929; 862263782; -1; -1; 526463974; -1; -1; -1; 263363529; 565990212; 634096858; 159583592; -1; 380325106; 992476247; 898148354; -1; -1; -1; 561807986; -1; -1; 223845859; 592047010; -1; -1; 54400840; 286490136; -1; 473410375; 630942207; 709485517; -1; 793680548; -1; -1; -1; -1; 412296027; 294817053; 156453128; -1; 193157266; -1; 638607272; 426809898; 461175021; 293425263; 794959725; -1; 253372270; -1; 703632029; 71292651; 425949478; -1; 923029247; 46631991; 532528538; -1; 451249102; 756096133; 911658195; -1; 152309372; -1; -1; -1; 27137116; 685323871; 821792874; -1; 104355994; -1; 217212308; 538772466; 153064933; -1; 826048335; 212959104; -1; -1; 733531623; 902980629; 789496686; 386200848; 754138419; 370608200; 144172327; 335344418; 197027504; 646793172; 53632888; 172205381; -1; 397190260; -1; 470281845; -1; 151332854; -1; 774640949; 758225423; 386157718; 43206195; 71672336; 810919236; 782004783; 38188184; 515685597; 67641599; 292208998; 74722821; -1; 315336593; 833738552; -1; 369298322; 352958368; 680541039; 2747528; -1; 968585736; -1; -1; -1; 293647226; 746498780; 993086311; -1; 757837252; 493775557; 346908594; -1; -1; 365581284; -1; 127879626; 336719723; -1; 842965480; 846967375; 443366575; -1; 819910605; -1; 759299974; -1; 266686822; -1; 816829099; 37058280; 942898531; -1; 173223831; 926180527; 571569550; 576702278; 203486887; 158349225; -1; -1; -1; -1; 799188026; 249210714; 78877692; 70197527; 317389632; -1; -1; -1; 613400128; 770800059; 988736581; 673302962; 920245166; 321386554; 568822567; 191935380; -1; -1; -1; -1; -1; 353907379; -1; -1; 72216495; 345594605; 665912050; 757586067; 96998360; 231688274; 989910194; -1; -1; 914849784; -1; 220858915; -1; 97631973; -1; -1; 122129654; -1; 109325846; -1; 133710705; 945167716; 92637970; -1; 226060042; -1; 239599512; 259032456; 794501963; 264586916; 570029943; 712881100; 376267519; -1; 238198044; 327047959; 170945184; 775194540; 879792527; 300049922; 555355731; 739435140; 811343022; 399959366; -1; 645059086; 399374673; 657450620; -1; -1; 863737669; 195206185; 41616685; 988443354; 542243867; 76954463; -1; 271605980; -1; 721835377; 440777153; 521878244; 432477217; 985138053; 95657151; -1; -1; 348404682; -1; 32166943; 210456122; 405207742; 622844934; -1; 149917435; -1; 818018335; 810747842; 979836062; 108183787; -1; 212043244; 420911521; 410430653; 631471993; 618229112; -1; 340148892; 407825106; -1; 579255785; -1; -1; 336100020; 470417867; -1; 155552395; 623718434; -1; -1; 311406951; -1; 901525564; -1; 896860350; -1; 469479191; 495990900; 551716020; -1; 808733321; -1; 231448700; 204496115; 52668897; -1; 483553367; 530241703; 754962868; 114521379; -1; 591771339; 807449262; 68515538; 923339236; 373065095; -1; -1; 875048506; 64258124; -1; 676269899; 992428670; 521616969; -1; 15451174; 966209746; 120680622; -1; 19850002; -1; -1; 717234856; 773236321; 503642093; 382732460; 548479996; 505093705; 661248373; 702122271; 676596043; -1; -1; -1; -1; 325945148; 143560401; 659605849; 320300429; 283469354; 211996078; 117680043; 19063713; 970054439; 394897172; -1; 657585481; -1; -1; -1; 675544385; 492896492; -1; -1; 616398458; 152333795; 488188776; 813057987; -1; 851092637; 167972841; 889433645; -1; -1; 981605127; 972584360; 436091756; 192212876; -1; 449960174; 136194612; 693578016; -1; -1; 550778083; -1; -1; -1; 41116354; 653941877; 793032622; 67766929; 958432928; 452178344; -1; 415701031; 984578950; -1; 892655353; 326514280; 2981584; 104291462; 134818625; -1; -1; 766119481; 886900735; -1; 264098011; -1; -1; 646380421; 20652232; 222302198; -1; 99805573; 553793413; -1; 788670609; 909345222; 928478953; 656746609; 882774098; 197440827; 151427789; 843505797; 118841842; 655531301; -1; -1; 930764524; -1; 507667698; -1; -1; -1; -1; 169650338; 455836811; 11914873; 418610851; 427174103; -1; -1; 122063820; 155678499; -1; 998393737; -1; 50000541; -1; 79562071; 873425020; 83160872; 161995646; 883661881; 473984563; -1; -1; 223047903; 887323598; 691324456; 69859714; 924994792; 259801024; 921447661; 389398398; 359716005; 448931579; 765737796; -1; 318760885; 768252980; 96190958; 50800036; -1; -1; -1; -1; 701199468; -1; 727465054; 479251115; 422500046; 134046357; 512756873; -1; 921901152; 595556935; -1; 76159842; 420459310; 840245161; -1; 606680783; 177128669; -1; 701379822; 258902545; 994541010; 649913318; -1; 233960046; 160310247; -1; 220089918; 42415954; 781781145; 69907814; -1; 29442048; 278768363; -1; 343371839; 293411477; -1; 752477394; 686464919; 74032325; 162605749; 638904731; 940300504; 988675488; 521719842; 558361663; 337224211; -1; 504882801; -1; 123400982; 796567959; -1; -1; -1; -1; -1; 893251427; 536191064; 26252321; 923944652; -1; 345242628; 208898072; 108572909; 330351078; -1; 182645389; 183589808; 862868260; 902478821; 100408500; 266507966; 279107022; 472188147; 615668267; -1; 738434536; 250819650; 253086873; -1; 62959329; 509430456; 191776796; -1; 639342667; -1; 805466834; -1; -1; 487636377; 573272174; 907846786; 197653282; 634805794; -1; 859022333; 217019397; -1; 646896939; 476646196; 256144971; 395988564; 374592532; 988326864; -1; 42288797; -1; 377737039; 989068881; -1; -1; 828473102; 411591972; 907481768; 77609380; 707692166; -1; 192210404; -1; 806270946; -1; 337536164; -1; 820422584; -1; 389859803; -1; -1; 802135789; -1; 325401881; -1; 209505132; -1; -1; 934750237; 122613548; 576330948; 585467350; 143802280; -1; -1; 455366871; -1; 730102717; 377728151; -1; 383161604; -1; -1; 375276003; 695027200; 112592566; 2755472; -1; 528727632; -1; 316998041; 299329771; 767525498; 865392423; 385191426; 913176368; 823010100; -1; -1; 920481951; 177000097; -1; 512471214; 150970432; 372158091; 115065122; 788504259; 484540506; 537172878; 229473680; -1; -1; -1; -1; 460001425; -1; -1; 107794256; 587286168; 678297240; 86314550; 986566876; -1; 412458049; -1; 154543723; -1; 383371832; 815074081; -1; 884047541; 34641639; 544576539; -1; -1; 350551309; -1; -1; -1; -1; 816872213; 980978110; 486786660; -1; -1; 35532311; -1; 861371278; 493066959; -1; 369170352; 554826553; 398762528; 547933114; 173493657; -1; 168682030; -1; 815990693; 567543783; 341123094; -1; 559171925; 416792939; 739290748; -1; -1; 872125765; 636237547; -1; 925592425; 735031185; -1; 344498084; 498557163; -1; 297799338; 162207461; -1; 212471578; -1; 680302935; 683414156; -1; 40188865; 209328488; 305597511; -1; 65194453; 463779985; 174346290; 92875542; 139853457; 650967160; -1; 420596684; -1; -1; 96569441; 717323405; 794577688; -1; 343962943; 673208347; 203816543; 196882963; -1; 460844058; 5314715; 449011339; 529594629; 850751127; -1; 285923926; 241480486; 595980738; 349568206; -1; 4803824; -1; 240944670; -1; 497607056; 634898002; -1; -1; 193178789; 874864419; -1; -1; -1; 377227483; -1; 859159498; 915707708; -1; -1; -1; 263094567; 618249158; -1; -1; 462466115; 995888539; 204160453; 521909244; 236311569; -1; 800920901; 400533305; 829771624; 269363123; 662973732; 842224961; -1; -1; 749677183; 427601379; 361356400; 520454700; 641076115; -1; 282478755; 909472043; 569660471; -1; 480606317; 276815887; 164863650; 902083751; 555443848; -1; 876087096; 631088903; -1; 191222380; -1; 555263837; 701900785; 480220302; 377580907; 46428662; -1; 620030594; -1; 632559754; 802100465; 114953157; 210385526; -1; 167851542; 818399493; 408397053; -1; 485693994; -1; 731484418; 50074909; 831846789; -1; 704559852; -1; 23159906; -1; -1; 691332492; 532349423; 839209157; -1; 37230564; -1; 409722403; 697869441; 403363779; 470880761; 135253450; 886463258; 416323357; 827585793; 40196134; 490922726; 756277280; -1; 453892088; 166272917; 488908857; 978082185; 122551360; 801804049; -1; -1; 994663712; 31158984; 527417066; 107607406; 213627565; 66374808; -1; 679735428; 223230509; 270547270; 464893080; 608200702; 687697562; 505605648; 967729403; 111340316; 517114614; 67311743; -1; 592105009; -1; 39718935; 24673389; -1; 688872992; 803406389; 70820792; 839043976; -1; 160608072; 221205901; 155473857; 188548689; 102673297; 629104296; 284992216; -1; 843987532; 139134735; -1; 146117462; 682385552; 750597366; 980938994; -1; -1; 186024772; -1; 597935554; 341786191; -1; 853490534; 161508912; 475933529; -1; 834003600; 391690973; -1; 836846735; -1; 420484032; 89091433; -1; -1; -1; -1; -1; -1; 143780815; 986420361; -1; 112749629; 232886281; 985418066; 438811922; 60537678; -1; -1; -1; 562255683; -1; 285496014; 774512033; -1; 494557757; 207244311; 498931399; -1; 616786110; 332969267; -1; -1; -1; 25498780; 658050990; -1; 938460043; -1; -1; 917481384; 490257563; 984496535; -1; -1; 631590534; 699587798; -1; -1; 754169578; -1; 870952618; 595212805; 650380214; 941422627; -1; -1; 991397835; -1; 155838680; 761319264; 374994280; 336035268; 465342813; 786378824; -1; 687267643; 532340486; -1; 67106720; 217423789; 631561745; -1; 356239819; 686199757; 218189615; 675242160; -1; 438370058; 254865383; 247792007; 537146742; 99419626; 590899572; 216145894; 887180710; 876429775; 713947129; 612844085; 99956690; -1; 105579370; 145638569; 741839274; 157796234; -1; 424796399; 810974841; -1; 537647783; 621663116; -1; -1; 814296788; 348679237; 631741224; 312148946; -1; -1; -1; -1; 104550844; -1; 996985930; 270694672; 298944855; -1; 957693028; 345747759; -1; -1; -1; 310801944; -1; 142398881; 946024067; -1; -1; 290467516; -1; -1; 811471259; 998144731; 475676678; 94233272; 127954779; 642579538; 24862276; 603935574; 228442989; 865029958; -1; -1; -1; 336768462; -1; 845554184; 163105758; 858203851; 119254383; 436283503; -1; 113923298; -1; -1; 666552371; -1; -1; -1; 706918478; -1; 752998724; 546908485; -1; -1; 590363714; 723571298; 602264148; 12017578; 89030584; -1; 225885952; 860241209; -1; 150572711; 980351373; 632652446; 947225584; 563378916; 435582595; 511892207; 333065460; 718746164; 687110614; 739209710; -1; 414019235; -1; 132367400; 797310944; 307930840; 134448352; 134991613; 34577417; 500403134; 498804111; 453002863; 213140381; -1; 457985159; 185641108; -1; 984470177; 673401908; 436353361; 861408709; 233780942; -1; -1; -1; 176277172; 948148571; 519603395; 430638097; 322316639; 862166447; -1; 29396506; 331753678; -1; -1; -1; 395777512; 487748337; 304801939; 738010148; 957128813; 244871224; -1; 649046339; 507814448; 403621109; -1; 305460570; 23515539; -1; 842906748; 788756659; 927309457; 222388709; 872438868; 2721770; 928815227; 941438082; 283869553; -1; 570168999; -1; -1; 59209022; -1; 266588146; 513723683; 657325102; 121100184; 786023288; 553650012; -1; -1; 718745975; -1; -1; -1; 518625004; -1; -1; -1; 896958244; -1; -1; 206844347; -1; 634502592; 709804299; 123518975; 975990618; 6459182; 811349518; -1; 386892285; -1; 456382076; -1; -1; -1; 859554583; -1; 124202133; 265610590; -1; -1; 219209814; 21154776; -1; -1; 466548024; 680976873; 945023555; 520989291; 337992293; 559568395; 570537174; -1; 162859881; 505125094; -1; 820106298; 926827740; 936812025; 368286394; 269197704; 407148136; 550493132; 908573574; -1; 37570116; 98571327; 826039681; 287402211; 856256341; -1; 905674779; 782110070; 354971020; 344102197; 1152616; 215303893; 356515635; -1; 551021838; -1; 567255243; 307249790; -1; 710636963; 300213998; 879019671; 933293905; 406646698; 614966668; 364306961; 4934072; 251775257; 364733266; -1; -1; -1; 427363169; 618510929; 3569826; 26530331; 311150085; 59939962; 537726515; 78811517; 512206347; 288765268; 442289173; -1; 380922890; 296352960; -1; 475366650; 650415594; -1; -1; 403545075; 547733; 892963013; 616257525; -1; 160930560; -1; -1; 835602346; -1; 65428260; 54084755; 294750321; -1; 676380925; 506923707; -1; 634093957; 335049991; 526605049; 517463527; 596299325; 667108654; 351823612; 718083107; 962854540; 177133651; 838614357; -1; 16391703; 543826487; 898679289; 967497296; 107771876; 441928275; -1; 121000894; -1; -1; 453318193; -1; 192637420; 207850304; -1; -1; -1; 513565746; 60269041; 190143254; 870180583; -1; 399320967; -1; -1; -1; 255781993; 509917527; 950883034; -1; 926843294; 210170504; 149420550; -1; -1; 940988563; 804467893; -1; 779933050; -1; 668178182; 586465396; 330262569; 219168074; 259204829; 614100449; 179736708; 675808967; -1; -1; 7229494; 548772560; 199985352; 573397875; 367110041; -1; 813582980; 98930666; 286795745; -1; 769694251; 625181585; 117959195; 968798739; 620463328; 774494063; 66538287; 415787358; -1; 37909221; 798198823; -1; 128474719; 860130196; 607498319; -1; 451166614; 951535232; -1; 579355976; 157401536; 797234744; 561372765; -1; -1; 738265543; -1; -1; 28871919; 228612255; -1; 871698897; -1; 199490175; 699111709; 964187277; 115785878; 947345722; 458374341; -1; -1; -1; 817395517; -1; 440043494; 897233772; 766921023; -1; 621991666; 138448039; 47878793; 849754312; -1; -1; -1; 445474636; -1; 967275947; -1; 257912261; 678151223; 114226481; 82062038; 89469752; 587607316; 912974294; -1; 919649422; 209150785; 831655526; 967470768; 108460106; 409828631; 460176890; -1; -1; 665714314; 719651898; -1; 369823897; 103940924; 91374105; 179503126; 431670285; 330501482; -1; 428556002; 542347921; -1; -1; 561901672; 731328721; 950071142; -1; 578034641; -1; 777268277; 460444961; -1; -1; -1; 22551063; 627898435; 724572676; 453035312; -1; -1; -1; -1; -1; 67546481; -1; 273166684; 8218091; 87859215; 5881094; -1; 698402590; 889525173; 443413904; 254300972; 652164740; 500697617; 325281190; -1; 550852151; 951984111; -1; 770323700; 70800244; 432458064; 364383159; 762006800; 454535434; -1; 384834019; -1; 769514372; 984948992; 773813492; -1; 372918254; 661633295; 428211240; 149514180; 515605073; -1; 503438295; 327012965; -1; 416804316; 986979477; 950781630; -1; -1; 434254968; 588727032; 757157610; -1; 979042575; 328766458; -1; 275659385; -1; -1; 535865448; -1; 358904788; 829103176; 2201978; -1; -1; 518682785; 71353341; 507409290; 436561429; -1; 881778180; -1; 65612746; -1; 477377847; -1; 454416716; -1; -1; 57831077; 846439629; 141158837; -1; 482600418; 318244019; 260050175; 633008438; -1; -1; 913313380; 825185158; 733056963; 583405296; 854879582; 374909313; 711105630; 456840004; 195012591; 319189711; 348219213; -1; 833729542; 664889183; 796060856; 234451319; 355618603; -1; -1; 561122899; -1; 476441645; 961938240; 78345956; -1; 490563325; 170399108; 416224960; 191240420; 856903405; 589739599; 636843504; -1; 304134121; -1; 93156323; 562889845; 552746704; 374457418; 713243498; 967210552; 473777387; 822614750; 507014529; -1; 950660941; 685289958; -1; 229349278; 116312769; -1; 543734437; 423762301; 201590583; 697984006; -1; 183715078; 153730505; -1; 488354032; -1; -1; -1; 963215578; -1; 621919842; 160463906; 897401958; 695287889; 365044599; 995632822; 551893359; 493156175; -1; -1; -1; -1; -1; 805259018; 244190073; 123712948; -1; 791059112; 614758785; 139252285; 736430053; 966596477; 519431690; 577653659; -1; 459232096; 127967319; 978873770; 172475233; 167073901; -1; 847925178; -1; 498815783; 283613430; 842798666; 344027643; -1; 125143827; 482902477; 635229806; 992310042; 338808; 830149125; 934390771; 629477943; 46100121; 275464902; 701434551; 3881946; 206759113; -1; 37604015; 625850428; 595348935; -1; 694692431; -1; -1; -1; 515709662; 992402569; 669388636; 757416946; 229908919; -1; 741519131; 149157659; 556069679; -1; 448661633; 981122581; 42547418; 346337147; 399262460; -1; -1; 601896139; 12509525; -1; -1; 38500640; 990454430; 804271741; -1; 650154763; 53968761; 271367927; 572334456; 843790639; 843158428; -1; -1; -1; 414791978; 279071777; -1; -1; 715365635; 987465062; 340015460; 802238011; 668813570; 699118065; -1; -1; 99919760; 507930337; 397361473; 115509036; 158405478; 353247374; -1; 138290071; -1; -1; 589382202; 832430311; -1; 488490443; -1; 227124374; 423085750; 163011144; 312832237; 150455782; 240227512; -1; -1; 989359242; -1; 967704090; -1; 261112164; 893284956; -1; 150164551; -1; 993237521; 195011435; 486286856; -1; -1; -1; -1; 680809057; -1; 550103181; 9026608; -1; 15180461; 491808397; -1; 890955029; -1; 446862734; -1; 634161574; -1; 156279368; 793292910; 656627648; 931316589; -1; -1; 361554898; -1; 58065570; 411785905; -1; 350428788; -1; 728601540; 113995798; 212851211; 737395468; 378804106; 937538736; 868573271; 780934951; 52802898; 379753617; 386975927; 966897092; 425858038; 103144656; 439519393; 289370009; 747704427; -1; 677688623; 792077368; -1; -1; -1; 981123938; -1; -1; 562685589; 606557766; 430709600; -1; 708720853; -1; 162686478; -1; -1; -1; -1; 127640702; 777661904; -1; -1; -1; 348770742; 157314617; 630018561; 293537430; -1; 631837038; -1; 332005616; -1; -1; -1; 253860646; 789655037; 914305767; 660267773; 303257448; 127832388; -1; 667631187; 862413173; 658700989; 400441732; 822061063; 864709110; 944111493; 999472343; -1; 924610279; 474269645; 486444202; 472168515; -1; 993356006; 314192777; -1; 534883616; -1; 803991857; 646719831; 895062458; 58634429; -1; 571536801; -1; -1; 462944115; 838169678; 341741751; 390705329; -1; 255613319; 466214312; -1; 110947307; -1; 717098027; 958405298; 737569558; -1; 267786238; 863487877; -1; 604249394; -1; 586159959; 963339781; 588641151; -1; 779591254; 816283812; 189322615; -1; -1; 916078791; 818914139; -1; 260027823; 928286788; 443813043; 895183760; -1; 632301913; -1; -1; 542874318; -1; 740842390; -1; 674837734; 610367962; 990336883; 185413472; -1; -1; -1; 543407346; 546687195; -1; -1; -1; 654277436; 932132142; -1; 444858653; 537138986; -1; 751574705; 933394917; 102273219; 801582227; 690093468; 207709955; 699403844; 247643079; 903587928; 360975521; -1; -1; 523713264; -1; 975383014; 873359228; -1; -1; 363168962; 211337535; -1; 797546248; 933496474; -1; -1; 807635248; 532502601; 360803614; 511808009; 870908373; 476238266; 412428806; 359187988; 853321545; 721236320; 183879057; 63706139; 981199740; 322684607; 871380369; -1; 654483462; 519927673; -1; 373079158; 441124984; 936434468; -1; 174608041; 947045680; -1; 959338224; -1; 174818696; 475805314; -1; -1; -1; 112109144; 993393992; -1; 8380646; -1; 186821077; 794816438; 139176023; -1; 920727004; 430849371; 675408548; -1; 702449690; 587524430; 752872789; 126492849; 525820588; 555560393; 358440215; 132060047; -1; -1; 167154775; 362617259; 40914674; -1; 258977564; 202152481; 823473328; -1; 787849485; -1; 677291056; 856111730; 589187584; 56627474; -1; 471206518; 660613524; -1; -1; 716049103; 242691954; -1; -1; 801190894; 853786949; -1; 181239119; 24489110; 359820178; 60600597; 461134309; -1; -1; 41611409; 631654631; 551832511; 373045846; 279139102; 595693343; -1; 95129142; -1; 295721031; 622036327; 636130048; 469552601; -1; -1; 325831465; -1; -1; 143351917; 372938102; -1; 178681671; 420899645; 887918849; 297533244; 773614507; -1; 528573779; 68695073; 167501284; 695723630; -1; 760525821; 764772683; 965118955; 6617138; 82238422; -1; 183968134; 500588541; 473351545; -1; -1; -1; 241974830; 896863472; -1; 657476332; 90908856; 983901996; 479977587; -1; 736614067; -1; -1; 29656239; 612387236; 313348479; 471490202; -1; 523409211; 425481182; 66900789; 716672508; 708169501; -1; 330741486; 881820032; 640526608; 517594913; 539520068; 895412891; -1; 34289370; -1; -1; -1; -1; 48710453; -1; 38218202; -1; 526787085; -1; -1; 368644593; 191083109; 858387639; 712892423; 188677568; 713272887; 183058874; 774241327; 236641416; 678000075; 688258691; -1; 855115123; 53004569; 371014810; -1; 689157998; -1; 700930580; 803531686; 525943812; 806065656; -1; -1; 743179649; 148983785; 193541987; 154515254; -1; 395378299; 248754157; -1; 510583963; 786401116; 531045658; 957083544; -1; 56797104; 247251128; -1; 424230614; 30530052; -1; 461699273; 609878971; 96407766; 704871052; 999965317; 314866478; 33531251; 787930270; 445660319; -1; 881073189; 463390587; -1; 996855601; 992870407; 162648371; -1; 823005028; 415076954; 905485959; -1; -1; -1; 443781103; 838865721; 548641226; 410434211; -1; -1; 710848114; -1; 307293309; 878627343; -1; 912129411; 683081483; -1; 754245711; -1; 591847833; 988884040; -1; -1; 735166058; 421351146; 136989680; 333352527; 727263216; 545471793; 970113269; -1; 952946552; 541994310; 781814560; 848623763; -1; -1; -1; -1; -1; 504703784; -1; 426216536; 485105861; 386606705; 663170774; 727643789; 312167619; 758375971; 720032902; 517526808; -1; -1; 279845523; 179480604; 150411749; -1; 2740458; -1; -1; 25762523; -1; -1; -1; 233188085; 256416739; -1; 957954338; 266103857; 112317015; -1; 802047109; 891686513; -1; -1; 86043353; 636899194; -1; 884704626; 428746864; 379533563; 587418763; 248983208; -1; -1; 253818603; -1; 570040954; 59529540; 820608018; 882885507; 415826338; 902846895; -1; -1; 67479130; 126587636; -1; 762721758; 438479785; 402114442; 197131264; 712347055; 967917868; 185448537; -1; 716215260; 806353119; 91194834; 601294605; 710361444; -1; 689096571; 438305450; 770871711; 287475835; 222371653; 509305898; -1; -1; 872809403; 694212965; 379544730; 375026334; 916471420; 828640773; -1; -1; 562037105; -1; 226618703; -1; 862222976; 674830448; -1; 900439578; 752078971; -1; -1; 133442895; -1; -1; 379592095; 779107216; -1; 539314176; -1; -1; 669026348; 745248426; 386421598; 854222090; 665646528; 627394223; 696211177; 446992918; -1; -1; 290909115; 740216797; 787653463; 854959158; 85559725; -1; 672560978; -1; 588555304; 95786321; -1; 830346613; -1; 928623334; 136489186; 783826607; -1; 462923063; 806807403; 786202500; -1; -1; 884391560; -1; 783791775; 590153162; -1; 422926938; 555854207; 360094848; 741225649; 899908044; 440842543; 870507822; -1; 184327228; 384425948; 964148324; 609535241; -1; 358295559; 103691176; 680196014; -1; 519440048; 919680733; 509335243; 598929838; 402407085; 686606851; -1; 563939820; 391629276; 581431334; 110199330; 299848438; 315346624; 389655340; 828833777; 60015565; -1; 801509181; 116262409; 749667734; 228333814; -1; 170012797; 577562264; -1; 569961923; 604127999; 404201611; 821061295; 946893024; 813339788; -1; 479684592; -1; 708425908; 666092365; 687377095; 14072309; 823690801; -1; -1; -1; 365470137; -1; 946592887; 747504810; 366407723; 376277391; 977661613; -1; -1; 655791006; -1; -1; 101473008; 588318468; -1; 265423839; 954222147; 425381868; 841344179; -1; -1; -1; 490644482; 163566682; -1; 327631096; 829128376; 32115888; 987722017; 409260470; -1; 747962413; -1; 644077595; -1; 352882517; 759970430; 6059933; -1; 962180751; 889174345; 606662236; 108071211; 578010426; 662887627; 626302337; -1; 274863306; -1; 885202842; -1; -1; 698563231; -1; 118061441; -1; -1; -1; -1; -1; 976351468; -1; 374423307; -1; 719571465; 694532510; 881715068; 80502597; 98649475; 350320949; 191244351; 526995159; -1; -1; 571709905; 786682647; 853136270; 817868984; 467840266; 431100749; 27883001; 114300570; -1; 809443304; 350710795; 149953068; 789383405; -1; -1; 129234276; 190819286; 702402749; 141026677; -1; 477083339; -1; 242824174; 884912541; 837091215; 600780877; -1; 689991944; 51851482; 47956124; 604905148; 260414197; 737621241; -1; 671006493; 170521971; 2755672; 708319820; 306120098; 89266889; 852701986; 458609929; -1; 447645941; 215619567; 693635621; -1; 684419300; 383900442; 324695031; 621499311; -1; 138890913; 402481801; 284718791; 943517921; -1; 946288117; 426009690; 266989060; 135820780; -1; 746884165; 637268594; -1; 242752677; -1; 599091431; 213581511; -1; -1; 421259076; 834110614; -1; 518049914; 640148898; 602896612; 975498428; -1; 566556628; -1; 136103868; -1; -1; 507517801; 108969142; -1; 995149848; -1; 926270300; 67021094; 262931614; 507400900; 153252127; 511235238; 248278530; 439094083; 138770816; 238338396; -1; 735441060; 767286324; -1; 586954836; 209742631; 896493965; -1; 761550026; -1; -1; 196755020; -1; 432996410; 517923848; 708249930; -1; 16639889; 152893572; 360326906; -1; 331522680; -1; 245312919; -1; -1; 535247641; -1; 996008749; 270884005; 551274429; 597339890; 991332586; -1; -1; -1; -1; -1; -1; 566241432; 499822012; 798880834; -1; 641297886; -1; 994766730; 361527841; -1; 334803513; 800342105; -1; 650340563; 768510918; 262973983; 711203648; 951761181; 239633856; 991559713; 392483793; 960847081; -1; 144135667; 650269110; 541277193; -1; 429766643; -1; -1; 738568555; 832980014; 341361943; 575642800; 440810970; 270639168; -1; 710481285; -1; 7991076; -1; 514107860; 732809498; 630113243; 989488480; -1; -1; 614839899; 696455239; -1; 675502462; -1; 773165997; 428783444; -1; 681633900; 318070731; 773168946; 799624331; -1; 305596901; 297178777; 551038592; 372954217; -1; 662460398; -1; -1; -1; -1; 467535327; 360155983; 489155358; 671233332; 811634670; 599331201; -1; 470365874; 507933352; 757965479; -1; 140629891; 10638601; 601234802; 807300856; 503398674; 483583157; 644875685; -1; 593745553; 771226699; 518633695; -1; -1; 304248829; 369451839; 667214092; -1; -1; 908674754; 965985178; -1; 342309946; 914563412; 647953143; -1; 774812917; 626153636; 984903026; 213066864; -1; 123555645; -1; 377915701; 165232062; -1; 651075918; 596657960; 265705273; -1; 658827332; 633328184; 237350163; 326289985; 610488653; -1; 273160490; 913129811; 640754855; 50976814; 647568038; -1; -1; 357682308; 845877616; -1; 76002780; 843920978; -1; 126667154; -1; 619595830; 27127227; -1; -1; 418915541; -1; 279433826; 38898482; 639453795; 343753797; 723544684; -1; 756697435; 997087686; 619997879; 233512100; 660973515; 862568758; -1; 728562101; 573511044; 914596617; -1; -1; -1; -1; 736659272; 777350070; 12016416; 737102409; 855048447; 275664031; -1; 390151615; 702972709; 57264859; 67007622; 312947420; 844359969; -1; -1; 800069286; 588132115; 254051888; -1; 592065071; 879625300; -1; -1; 49831897; -1; 955785428; 807946981; -1; 333498201; 60355707; 990435852; 753984003; 889277014; 288115862; -1; -1; 877140572; -1; 552186794; 139668687; 9262299; 671825289; 523782055; -1; 181452843; -1; 560364588; -1; 902513640; -1; 608658968; -1; -1; 459610027; -1; 612224330; 13232941; 917541957; 803750754; 165225928; 201759210; -1; 982940413; -1; -1; -1; 195641142; 396528403; 803401245; 951984773; 460154912; 491285656; 293803350; 962681133; -1; 681535942; 241958607; 61370490; 499055063; -1; 275578490; 176935722; 795814952; -1; 262798249; 240261371; 83862006; -1; -1; 892992136; -1; 602531824; -1; 54911450; 526123466; -1; 240642878; -1; -1; 965617595; 657216556; 932457272; -1; -1; -1; 382770803; 643818588; 491312345; 861544931; -1; 803214536; 838418507; -1; 630243561; 443036445; 401446547; 435715798; 173104394; -1; -1; -1; 841771981; 274090888; 213620372; 733017936; -1; 669967643; -1; 812994604; -1; 395624543; -1; 849082877; 89749587; -1; 640638606; -1; 396722634; 879174281; -1; -1; 594066273; -1; 213811133; 483074854; 633202901; 10279206; 756241838; 204439814; -1; 946218835; 721685475; 414659495; 299677098; 813081710; 342937428; 585135755; 438030243; 814876816; -1; -1; 711235702; 50115530; -1; -1; -1; 550354012; -1; 666257239; 826282128; -1; 595020785; 919130957; 932899894; 602560265; 686516415; 367447881; -1; 569795654; -1; 15341536; -1; 647998634; 98088912; 727533589; 271515948; 944774304; 857281782; 331778486; -1; 827319076; -1; 866039751; 356845823; 85831247; 10719812; 630195879; 27853423; 936280426; 434356010; 511105814; -1; 136080013; 682644618; 827654569; -1; -1; 198066236; -1; 505072101; 25356175; 55995284; -1; -1; -1; -1; 475463625; 412874715; 292643330; 181018920; 897501003; -1; 101747163; 317913401; -1; 923080372; 70099115; 619340602; 814621425; -1; 195479860; -1; -1; 872101556; -1; 51015635; 242609730; 9413783; 73657062; 455875729; 96598475; 747024871; -1; 299239912; 252845234; 154365934; -1; -1; -1; 689020799; 551512982; -1; 668353104; 337798317; 325309331; 23795240; 486775367; -1; 698213001; -1; 936591440; 805194087; 845342156; 473059066; 204190975; 542619387; 551558350; -1; -1; -1; 182969009; 658975486; 218417466; 13706384; 524048610; 500933052; 805003401; 902439189; 939499660; 889564804; -1; -1; 407943346; 161005557; -1; 311976721; 654077304; 172031510; 178206102; -1; 747489913; -1; 381328353; 746035911; -1; 39771633; 79786207; -1; -1; 586701822; 803560400; 807581437; 40625885; -1; -1; -1; -1; 263393705; 996851625; 577549527; 606020743; 75336185; 759038207; 364729558; 896762847; 987377154; 912608081; -1; 433912692; -1; -1; 652059484; -1; 932790602; 762699502; -1; 954336110; 625946522; 612637366; -1; 552831134; -1; -1; 791216487; 75385270; 210981981; 720462102; 937855279; 406780342; 814499423; 641023100; 968398188; 379680456; 210283132; 660706571; 75634841; 141708664; -1; 560931045; 490416134; -1; 13094527; 705892612; 640032810; 52632360; 149840378; 656377588; 179633831; -1; 790350290; 982920322; 869728642; 188674726; 324463850; -1; -1; 185128041; 496376218; -1; 332800536; 287039033; 941726956; 798091915; 830985847; 923244705; -1; -1; -1; 755172138; 8727239; 800063187; 341710250; -1; -1; -1; 65130495; -1; -1; 188652279; 37450024; 410839705; 739510471; 351134753; 853459217; 984293085; -1; 590715812; -1; 678033423; 390932986; 322134843; 736611180; 807964398; 673482619; 946889480; 564069380; -1; 518721923; 390965338; 764854578; -1; -1; -1; 692362145; 53292898; 513931260; 899456281; -1; 899543013; 966264077; -1; 740327060; 15620053; 420367789; 311378701; 521484137; 26107319; 404066513; 999474754; -1; 22728496; 475669734; 882228868; 225509267; -1; 90508996; 880938425; 5184535; 663651667; -1; -1; 388368886; 329244949; -1; 11663007; 912191562; -1; 293672292; 31800506; -1; -1; -1; -1; 874971099; 857042406; -1; 123861975; 970879440; 221017454; -1; 205118784; 895604366; 399570656; -1; 503880144; 323710426; -1; 925626367; 825174195; -1; 740740197; 921587804; -1; 382673865; -1; 189827103; 575614528; 935482570; 762653432; 265701201; 630041716; 951356689; 988113146; 762543957; 228046941; -1; 759864567; 957112993; 837910862; -1; -1; 335266394; -1; -1; -1; 552159340; 53111304; 804259114; 664950045; 580274337; 290422011; 337848344; 530604205; 24101236; 694219972; 90774847; 587315486; -1; 574650869; 893221907; -1; 345780071; 76749370; 235292334; -1; 93881763; 283827722; -1; 897412689; 305125417; 338724385; 539918026; -1; -1; 352132631; -1; 116352135; 266975536; 908511375; 35764149; 148073991; 229433414; 19877511; 988986799; 964287889; -1; 875244756; 340308353; 287860143; 189650851; 376875587; 678444648; 250979778; -1; 868355027; 658056144; 981744733; 46165823; 370303116; 853935292; 930064628; -1; -1; 773378167; 494361412; -1; 245111723; 858287314; -1; -1; 100371821; 166915520; -1; 401532001; -1; 828462966; 280906968; -1; 312758557; 245430047; 297790408; 59077470; -1; 22180935; 271547949; 184516282; 91629364; 175184042; 335098637; 992852972; 426943842; 25227191; 189357220; 162159646; -1; -1; 139021869; 133154647; -1; 761797145; -1; -1; 163269892; -1; 688181282; 289414343; 359950292; -1; -1; 128408952; 673255046; 749039301; 947727674; 417834656; 601992858; 402640315; -1; 897976772; 963945876; 695234302; 320712416; -1; 420165258; -1; -1; 32874975; -1; -1; 814901767; 645870958; 448629224; 236790980; 981359677; -1; 203222974; 3265293; 470715175; 922278852; 90679145; -1; 700644045; 965224865; 576969488; 931578650; 300713786; 661279195; 884805352; 228851178; 753983668; 910023096; 846719409; -1; -1; 217538837; -1; 612760639; 944258186; 833724605; 410098956; 451373396; 690161321; 744707511; 405489665; 803019866; 306474231; -1; -1; 966160484; 729107720; -1; 439315885; 788933953; -1; 212266280; 597803459; -1; 835464603; 250949835; -1; 367310746; 773664615; 534377572; 115136549; 190692240; 350788656; -1; -1; 482090239; 892836941; 637950558; -1; 486266539; 69007289; -1; 519491720; -1; 434232036; 875209489; 813468155; 482941003; 688853486; 298682758; 862422213; -1; 962709954; 325347659; 531106291; 665992717; 376055293; 702197200; 590240817; 133544590; 836957053; 496652086; 882568487; 974757782; 714928360; 54223886; 706599965; 988402660; 125115479; 423473983; 639137094; -1; 115688203; -1; 780424838; 5537199; 305756991; 803520818; -1; 727951306; 910247674; -1; -1; 605900038; 611692871; 26829596; 848497706; 249303007; 755507064; 452186126; -1; 718062877; 934148059; 975848244; 92214146; 717156886; 636356653; 185279648; -1; 582648925; 427499549; 521463945; -1; 913730539; 556272153; -1; 773233319; 304056731; 732316486; 607988268; 527187960; -1; 149600169; -1; -1; -1; 645871064; 272868795; 925802157; 392587980; 231524727; 599301233; 484332906; 704021323; -1; 549923276; 698970537; -1; -1; -1; 44656904; 705105597; 621141154; 134649467; 44840; 155938064; -1; -1; 666552599; 997527262; -1; 612367286; 330880255; -1; -1; -1; 467519212; -1; 443096448; -1; -1; 902564170; 143152865; 51801688; 119141276; 631647428; 686747338; -1; 998686923; 958418695; -1; -1; 144926105; 214753264; -1; 501500333; 639468049; 717192140; -1; 306503536; -1; 290430464; 165311157; -1; -1; 998623549; 75173639; 614201049; -1; 499106748; 386267137; -1; -1; -1; -1; 975879831; -1; -1; 757268788; 30073484; 100388259; 936006731; -1; 506810111; 669197107; 814354809; 622406952; 944761765; 330740390; -1; 643066132; -1; 412501244; -1; -1; 460605203; 406093913; 879635119; 498838344; 713678743; -1; 331038847; 436439480; 889887908; 173603152; 58659125; 956463372; 11154393; 989414346; 861389627; 393137612; 778895313; 903680655; 222365298; -1; 899513080; -1; -1; 134200039; 731260653; 35709990; 648420008; 809815823; -1; -1; 953509191; 139345984; 280229544; 135682020; 776363600; -1; 844133173; -1; -1; 234117420; -1; -1; 145892072; 29409140; 714478103; 404757482; -1; 629896668; 841169470; -1; -1; 212821845; 626941167; -1; -1; 924766211; 501035799; 428089709; 713391989; -1; 582980328; -1; 265996883; 228610452; 954522053; 365384365; 134129689; -1; -1; 119428566; 878914181; -1; -1; -1; 88355090; -1; -1; 264876655; -1; 909501138; 342306683; 450443164; 999721140; 656774028; 254213022; 612927095; -1; -1; 269365274; 796012060; 62313328; 627705348; 695566994; 230453225; -1; -1; 992456001; 979283129; 200342386; 64611878; 794258666; -1; -1; 638663253; -1; -1; -1; -1; 647445599; 72608315; 804729991; 843222672; 794065570; 37487809; 303325781; 167706461; -1; 441157294; 403154649; 494744136; -1; -1; 950403378; -1; 873284725; 169107628; -1; 17872215; 784434932; 694554399; 858068663; 646733446; 852233970; 25266688; 686637189; 393316405; 156657791; 55758768; 858206777; 682030358; -1; 112647394; 743382196; 836191697; 820710441; 52878634; 953490258; 673548100; 771322040; 271180092; 634959577; 819468646; 330666363; 112986057; -1; -1; -1; -1; 326229407; -1; -1; 449244560; 335669290; -1; 439403422; 683099662; -1; -1; -1; -1; 99139460; 763407717; 314546357; -1; 128911173; -1; -1; -1; -1; -1; 378585562; 568796784; -1; 602648641; -1; -1; 837555356; 876871962; -1; 327006900; 653121359; 801752033; 491605456; 493818989; 595191318; 278245224; 881006029; -1; 951581166; 557462674; -1; 356958860; 626288649; 767013507; -1; 341457159; 481170031; -1; 485309070; -1; 635211880; 413862247; 223458848; 669862743; 205535524; -1; 804235870; 466632932; 513427302; -1; 829842016; 655599543; 72535041; 970563122; -1; 667201012; 478981507; 15573439; 577780140; -1; -1; 272471750; -1; 235867417; 824597979; 446361274; 403896025; 333356436; 766568544; -1; 91310841; 959336643; -1; 9420663; 636482277; 787518956; 298101470; 229065420; -1; 581891976; -1; -1; 595314681; -1; 482547133; -1; 660127514; 856138025; 965896190; 693952555; 913490360; 241535443; 400182356; 269255583; 293643443; 123619457; -1; 637921295; -1; 488295998; 113512202; 680702544; -1; -1; -1; 245865175; 466583542; 958731443; -1; -1; 793549299; -1; 76443697; 840483919; 541217001; 214779232; -1; 865553593; 876246269; 104559765; -1; 447193534; 854228290; 190175850; -1; 479009546; -1; -1; 7401491; 703701466; -1; 272224930; 552445444; 432732069; 265329389; 113787173; -1; 684033230; -1; -1; 318496499; 509277578; 523472754; 163444597; 744287542; 211610432; 751044252; 532100501; -1; 685755284; 788476243; 436391089; 714449536; 415441154; 869152408; 461009111; 473757037; 793658749; 786151165; -1; 239594662; -1; 953167246; 684897376; 451640072; 490454795; -1; 423390203; -1; 728022363; 973951436; 692589270; 243044918; 324206262; -1; 308289768; 954484683; -1; -1; 978348488; 254244330; 556428678; 567896791; 513394095; 948086807; -1; 888911278; 491631550; 903278192; 60631300; 801171591; 461319937; 934625888; 686345971; 412500016; -1; 359808865; 220001422; 14291280; 743244897; 906092676; 711805739; 28542617; 679245234; 872254888; 471448950; 769484853; 583450648; 874565579; -1; 365555455; 410382565; -1; 571097043; 76719823; 12535621; 406591320; -1; 330465347; -1; -1; 53713847; 248875356; 342557167; -1; 52682225; 110572448; -1; -1; 40665593; 793510471; 873392933; -1; -1; -1; 857599215; -1; 510761072; 269019305; -1; 623259453; -1; 998571695; 556448253; 681892213; 991637909; 494794586; 319813124; 951254272; 376267294; -1; -1; -1; 568201017; 854211089; -1; 423325113; 208709014; 18916848; 541058655; 255392943; 568551954; 8685423; -1; 12125206; -1; 236154584; -1; -1; 303807913; 93176727; -1; 260154787; -1; 9146011; 537971967; 323227977; 505302532; 906390204; 273661682; 6693661; -1; 507740539; 825671672; -1; 857545899; 798826803; 69224703; 12119591; 896644878; 950929675; 912222143; 871544310; 693426255; -1; 717010451; 141469484; 397635641; 115312776; 290917922; -1; 349401871; 90380930; -1; 985313887; 192930207; 223435348; 555917082; 495778706; -1; 865589794; 111666517; 159482591; 635438834; 306191536; 315324675; -1; 167826669; -1; -1; 968977319; 442588114; -1; -1; 343228467; -1; -1; 905798474; 507580150; 442883534; 911724342; 949214089; -1; 139766532; -1; 193797965; -1; 571563343; 77485211; 493353613; 659288780; 274193856; -1; -1; 620512477; 309574267; 166614639; -1; 501072576; -1; 288496834; 18329029; 398390612; 227460708; 683544604; 870648823; 996680733; 758734622; 604790279; -1; -1; 373007391; -1; -1; -1; -1; -1; 983988481; 214183559; -1; -1; -1; 487764223; -1; -1; 228996905; 425035158; 981615424; -1; 683925791; -1; -1; 710517762; -1; 986949456; 101997272; 676084207; -1; 383342138; 457728409; 524826936; -1; -1; 151999947; 813698226; 293457167; 305793547; -1; -1; 291862482; -1; 531141936; 848971919; 655576811; 313364557; -1; 259928389; 788374865; -1; 556440840; -1; 297023209; -1; -1; -1; 603058037; 302561991; 698209202; 915436480; -1; -1; 118035584; 991126989; 495288263; 851558542; 947209830; 393703999; 683063907; -1; 134047727; 870648506; -1; 673173784; 152017438; 487322200; 758717455; 616253781; -1; 896049340; -1; 179274872; -1; -1; 326383987; 372892780; 677190839; 525086711; 351283158; 768820340; -1; -1; 604513546; 754093054; 340865971; 564018682; 409867760; -1; 898627716; 702561317; -1; 330259976; 410322540; 691063913; -1; 654134168; 103464844; 668518207; -1; 866494034; 948316393; 349363230; 565899737; 140332088; 493067540; 926661263; -1; -1; 560972055; 977366954; 752180534; -1; 95184221; 652840876; -1; 674236683; 150594505; 523651093; 992623005; 762806889; 998125634; 669754164; 677413997; 140197306; 202228645; 967504739; -1; 273040988; 611395508; -1; -1; -1; 298702720; -1; 431688692; 862830960; 733828780; -1; 929583680; 541443544; -1; 564891273; 697463913; -1; 562477926; -1; 804138462; 429636375; 674490598; 216771067; -1; 644913991; -1; -1; -1; 918260577; 472529086; 843264411; -1; 183684605; -1; 680935170; 652451833; 67797976; 37332862; 997950436; -1; -1; 57724464; -1; 375377509; 498720712; 824849155; 977275790; -1; 788524911; 419151039; 244347370; 262848674; -1; -1; 653075352; 355861087; 906028906; 605641690; 4530178; 504282890; 956719220; 409180633; 458160175; 818087270; 724040497; 194655955; -1; -1; 988342050; -1; 674375084; 631784760; -1; -1; 419136111; 897186713; 850136516; 939990955; 390759480; 522909579; -1; 784246219; 339163783; 420620285; -1; -1; -1; 654735566; 374039340; 308150271; 619789526; 176935047; 884125629; 793790126; -1; 553785964; -1; -1; -1; -1; 506139729; 25969284; 667693351; 298220507; -1; 546574298; 338124360; 592200083; 720535799; 664519197; 629311136; -1; 401810329; 234538709; 164134703; -1; -1; 150180737; -1; -1; -1; 600232128; -1; 257956680; 395696468; -1; 124200585; 693676945; 798514223; 934836207; 816725141; 578519328; 539663039; 316910353; 793702227; -1; 231637577; 852004941; 949728149; 962315750; 688901692; 898839018; -1; -1; 421342972; 954073241; 445614854; 190789410; 477074728; 343732046; 287244957; 292149830; 886114253; 809109632; 957046935; -1; 898591646; 49715281; 74376051; -1; 787353146; 569917879; -1; 627515105; 671342975; 670371675; -1; 313682207; -1; -1; 130535906; 828979646; 511773703; -1; 54073383; 470477864; -1; 175951310; 681857206; -1; 476093857; 749503118; 620017259; 167183373; 237828291; 394786240; 99511889; 464346404; 947714718; 283567823; -1; -1; -1; 617180054; 320174571; 979387815; 953835741; 42049728; 237350157; 917522157; 661166675; 367883848; 252746733; 437618380; 934860538; -1; 845355996; 569879081; 566794739; -1; 988598048; 606686943; 61572660; 553074593; 921111338; 290144006; -1; -1; -1; 760153109; 646906997; 540294274; 305194052; 845964271; 843303423; -1; 666470148; 967298161; 592752090; -1; 320104986; 776330149; 411234810; 99244197; 225511838; 417679502; 559625198; 94397674; 417219609; 641905728; 507188547; 376171393; 587299497; 39610807; 415165951; 344246294; 334219849; 318753860; 559200340; 38638013; 381097695; 145578443; 155012444; -1; 622202481; 105459425; 491725775; -1; 591343042; 72262708; 535047314; -1; 336978777; 398526424; 507096085; 825820791; 298458234; 795415317; -1; 766469384; 745542900; 617222788; 677929425; 181900100; 944059955; -1; 704683703; 586694339; -1; 869397561; 896878938; -1; -1; -1; -1; 806025572; 644403381; 963961443; -1; -1; 886041962; 920729389; 338214455; 287991447; 902268118; -1; -1; 799304217; -1; 286457390; 316760126; 795172559; 803362384; 939893945; -1; -1; 449494197; 961749523; -1; -1; -1; 196717303; -1; 945168427; -1; 815267304; 868974359; 269402381; -1; -1; -1; 435103760; 523040904; 952777933; -1; 847976179; 694042454; -1; 409454719; 387952761; 51329379; 739858611; 621611551; -1; -1; 657783267; 925493158; -1; -1; 685355088; -1; -1; 553036862; 539610754; 242383019; -1; -1; 773037161; -1; -1; 122155674; -1; 148432260; 815459499; 765417622; 219659555; 13793295; 274472442; 944853059; 664495350; 405808666; -1; 124185714; 874232292; 932230189; 470135406; 454994442; -1; 719248937; 213038982; 143698055; 444706880; -1; 841962621; 392543590; -1; 65587991; 81955945; -1; -1; 189267391; 227888972; 612743662; 484859302; 642796007; 730161184; 987185306; 592908816; -1; -1; 883077613; 141294144; -1; 520175073; 728130973; 538816854; 769953938; 646438224; 239661551; 785189843; 153735774; -1; -1; 278517914; 31999340; 838086766; 651461579; -1; -1; 377036420; -1; -1; -1; 55125479; 433739796; 280040340; -1; 447450669; 244151903; 855466109; -1; 757750513; 522590454; 593117739; -1; 543446480; -1; -1; 817919091; 49584660; 405243845; 714165371; 306088188; 693300878; 341486939; 434924766; 273376951; -1; 91456871; 966773576; 451046415; 870233121; 840142551; -1; 469633824; -1; 870685689; 574050806; -1; 419003258; 918116113; -1; 526164203; -1; 174472380; 56381831; 588285348; 11887676; 754672588; 622252439; 842747595; 638867067; 592137253; 309343857; 438391438; -1; 735619815; 739678511; 494302965; -1; 626454514; 140354739; 282173597; 599394027; 871932095; 947231600; 466182828; 377576330; 181526452; -1; 691697735; 743875155; -1; -1; 8755833; 863809577; -1; -1; -1; 252753639; 9516288; 23952320; -1; 814500499; 384573235; 969482733; 920874744; 996769423; -1; 304722231; 310896746; 321745161; 415788167; -1; 162735915; 634752787; 802615670; 956563713; -1; 988323806; -1; -1; 877822238; -1; -1; 977654834; -1; -1; 769484249; 408807879; 253121858; 74749730; 912958191; -1; 989571030; 987066528; 141925469; 763728844; 37025243; 307081114; 20989044; 981150458; -1; 214453015; 165423550; 360786544; 48633356; 320259596; 50744650; 681235261; -1; 311038499; 880413398; -1; 642397974; 586570619; -1; 68466882; 182458061; 962742298; 253538702; -1; 946572341; 122473712; -1; 703780665; -1; 271211527; -1; 391553805; 220785947; 324889880; -1; 911078569; -1; -1; 358939333; 451263349; -1; 997991847; 641986163; 82710273; 906912667; 719688146; -1; 722530100; -1; 396243131; 14135024; -1; 895076830; 742265500; 227139931; 121227552; 575487838; 1495189; 371228592; 185501321; 729135217; 950675128; -1; 905270803; -1; 383980034; 761084669; 255525398; -1; 777426791; 526382997; 464883225; 827641031; 109031231; -1; -1; -1; -1; 780411080; 661387494; 936542423; 312076003; -1; 564854614; 942679124; 325542158; 457460678; 466604805; 674983140; 542299655; 207480923; 576526061; 936303113; 813428359; 744254012; 106566689; -1; 616648865; 242885730; 764091269; 466213127; -1; 604410608; -1; -1; 532665546; 383685845; 778809538; 343006073; 252863777; 640842935; -1; 309820608; 922661402; 270885032; 136649591; 111516266; 778722797; 219251160; 617801492; 436717732; 702528633; 303825997; 697865434; 202783880; -1; 558261950; 122121517; 933831508; -1; 777525628; 752841667; 356673833; -1; 331036233; -1; 697354510; -1; -1; 482825123; 486443979; -1; 896464741; 851620876; -1; -1; -1; 379282271; -1; -1; -1; 773076425; 988153875; -1; 137189995; 791429087; 769518795; -1; -1; 292511061; 447969636; 745917095; -1; -1; -1; -1; 261235806; 891394724; -1; 690920081; 20625029; 260275355; 440960829; -1; -1; 721777103; 545617930; 865336710; -1; -1; -1; -1; 123935297; 472108866; -1; 582777262; 64177843; 337002398; 559196565; 106750843; -1; 45617821; 753134966; -1; 743094776; 455648408; -1; -1; 423351453; -1; 651720395; -1; 886700146; -1; 566791499; 66062104; 834080699; 362878936; -1; -1; 474764341; -1; 431618834; 893707813; 171271304; 666607745; 42867863; -1; 282298385; 529777797; 625233735; -1; -1; 988500945; 421705492; -1; -1; 714073653; 466204069; 49931377; 217061741; 331384924; 904423886; 331540765; 742836335; -1; -1; 37859141; 604225549; 52992310; 830160727; -1; 95771633; 845435534; -1; 392696616; -1; -1; 23277600; 569132921; 854754764; 33194705; 595592173; 258916101; 58088085; 515419494; -1; 382022169; 662418063; -1; -1; 343103630; -1; -1; 732636432; 173422559; 759497559; 262809988; 361239313; -1; 201313253; -1; 835271627; 404931436; -1; 541259216; 645692268; -1; 504280625; 623590225; 439673669; 293874220; 210022696; 789185392; -1; 435371778; 626325670; -1; 685929728; 931834703; -1; 739104260; 808992522; 479580774; 109406260; -1; 492394482; 260516185; 922352999; 453452069; 921007401; 140621084; 88479147; 294274464; 368648267; -1; -1; 668692177; -1; 559092218; 116199168; -1; 565263492; 717679694; 932530777; 129210997; 153058951; 994674468; -1; 365733111; 46931837; 409243910; 271325454; 757551977; -1; 175698040; 603158611; 612098019; 44598405; -1; 438286681; 703702416; -1; 667252309; -1; -1; 166440533; -1; 184827638; -1; 447544462; 50434551; 509756276; 754565482; 222224127; -1; 442479446; -1; 80609040; 700157054; -1; -1; -1; -1; -1; 347647601; 706220131; 153510251; -1; -1; -1; 796447072; 574994740; -1; 684125297; 198845362; 309229666; 751922631; -1; 352731958; -1; 127375883; 604982198; 298816109; 957357754; -1; 517473621; 115126104; -1; 953936760; 721969921; -1; 515325215; 167659830; 810697478; 705434294; 251397231; -1; 619923736; 834573625; -1; -1; 410911965; 992785803; 775446339; 714123843; 970188141; 360342878; -1; 639767057; 211829192; -1; 781436869; 747947851; 305614483; -1; 560625664; -1; -1; -1; -1; -1; -1; -1; 195656843; 888515574; 419396405; -1; 165912140; -1; -1; 784018058; -1; 116046155; 30719156; 132283222; 268556149; 288522394; 239185336; 133543296; 976988881; 724169994; 855750257; -1; 943321502; -1; -1; 503464146; 607280850; 741872065; 277915424; -1; 571835931; 978712266; 330663808; 689159530; 673073068; 219494851; 21616085; -1; 356388438; 611659788; 797870486; 512913815; -1; 222890098; -1; -1; -1; 545802523; 178255013; 405073658; -1; 647312659; -1; 944850262; 175777552; -1; 791674711; 689837686; 528244297; -1; 919495985; 228479785; 637428795; 871213461; -1; 632358469; 44850191; 245497434; 530918545; 539474973; -1; -1; 965414338; 465707456; -1; 604560522; 31736414; 848111136; 289145444; 686424800; -1; 17932739; 370744505; 479670553; 559791235; 505042453; 955574690; 99380690; 766935009; 342547819; -1; -1; -1; 383946467; -1; 582419734; 358819691; 152044846; 715517076; -1; 128637609; 323119444; 831195455; 566081417; 781614179; 330244311; 519220814; -1; 371416199; 543533518; -1; 287745611; 691488808; 530549242; 686760995; -1; 963995618; 424470176; 330142255; -1; -1; 286385585; 696895394; 708255909; -1; -1; -1; -1; 645123591; 338859261; -1; 250079158; -1; 101933716; 469017439; -1; 662326959; -1; 633538017; -1; -1; -1; -1; 777743475; 153421375; 891753373; 756303824; -1; 583651240; 632761152; 915352169; 346702692; -1; 268985266; 816166266; 230385202; -1; -1; -1; -1; 533281458; -1; 702550417; -1; 289248783; -1; 354741592; 81684504; 693783705; -1; -1; 542481636; 162669635; -1; 147091403; -1; 842231042; 467839223; 55424315; 485070414; 452794928; 752050338; 237682542; 591587564; 181883547; 295881081; -1; 555923233; 593475068; 625234958; 274813478; 372365128; -1; 643293758; -1; 581554770; 256687364; 223077069; 758672734; 904721539; 14441618; -1; -1; 792438928; 188581347; 161125941; -1; 9301638; 156959484; -1; 69960333; 597593478; -1; -1; -1; 106475755; -1; -1; -1; 909907260; 228498365; 504538384; 370189238; 827214759; -1; -1; 392537446; 894724101; -1; -1; -1; 729565206; -1; 763568204; 136839178; 897513687; -1; -1; 590453958; 328027374; -1; 667647060; 208720830; -1; -1; 872111562; 117897529; 185733823; 177553454; -1; 656719541; 742180827; -1; 445403799; 360330240; 471470423; 614652953; 582981012; 750041142; 766650303; 457390661; 122720273; 945161595; -1; 428093912; 874030913; 254492890; -1; 608591869; 297941050; 142541407; 662900882; 390217337; 579538859; 387192218; 631549724; -1; 684074835; 757716987; 460528702; -1; -1; 872371642; 229006013; 67976684; 30211999; 168737988; 499911387; 447788924; 15349197; 694375712; 927556530; 553261261; 208979304; 84238613; 423241694; 933025116; -1; 261766175; 357499991; 64147640; -1; 956303553; 637062954; 256179973; 214986351; -1; -1; 533874229; 103688757; 448361912; 236600117; 702498807; 562508530; 435022709; 100007723; -1; 539992449; -1; 163666647; 509579418; -1; -1; 677436276; 724277835; 928396255; 88875703; 660861212; -1; -1; 250982699; 147712104; 864191410; 240773609; 347103257; -1; 21784669; -1; 442113180; 633830690; 158044950; 688581836; 341626137; 309608483; 917377729; 571807799; 588152860; 92423901; 88309500; 379913707; 417437972; 881284520; 699813311; 739485359; -1; 724712039; 404330015; 857440201; 924342723; -1; 111266134; 853991979; -1; 255020430; -1; 743095042; 449391073; 464841449; -1; 644036444; 520028257; 955518405; -1; 230009611; 198741550; 827177590; 18351960; 852939756; -1; 620441000; 557373491; -1; 845975037; -1; 186034130; 584083797; 979514178; 462080368; 695656465; 800617854; 487423923; 11808268; 723907005; -1; -1; 264469703; 981851059; 774323424; 13562737; 950351486; 29483785; 388638788; 960464779; 70792834; 537121167; -1; -1; 874894396; -1; 627640231; 476749292; 334536089; 608393832; -1; 507167311; 357134398; 251166023; 264467724; 636992720; -1; 717818879; 363010436; -1; 10098661; -1; 112044579; 814890306; 21552967; 640942165; 453417683; -1; 670374313; 783739790; 736868187; -1; 473868228; 136211937; 718973130; 951022422; -1; 63158948; 219269908; 621238263; 30747866; -1; 615404013; 295912005; 369155997; 169252063; -1; 826392017; -1; -1; 989091326; -1; 90981442; -1; 129847771; 700165626; 255676279; -1; 451370308; 441955401; 69293314; -1; -1; 766279081; 470749266; 535136867; 83432494; 442984717; 596460309; 114995616; 658690206; -1; 555659458; -1; -1; 77610024; 242363170; -1; 52633858; 901842818; 616070211; 853787524; 164884233; -1; -1; -1; -1; 352745697; -1; -1; -1; 351611915; -1; 521778474; 820228011; 174019456; -1; -1; 165448691; 126491560; -1; 691388083; 183925251; -1; 339196828; 425731887; 873318693; 766176699; -1; 715921855; 965295821; 653390067; 62133697; 45242439; 357865827; -1; -1; 605389648; 238341398; -1; 888039900; 356779217; 851100886; -1; 673108385; 665362389; -1; 233972803; -1; 156040769; 76101160; 8034032; 658298317; 103528709; 543129273; 291149414; -1; 612421521; 202780809; 537127095; 659049555; 549297525; 442158738; 500116210; -1; 677864870; 29887686; 51263459; 622698019; -1; -1; -1; -1; 390817593; 538973880; 115130472; 621552458; -1; 216671222; -1; 231700091; -1; 308251125; 54720185; 541681365; 928172580; -1; -1; 355410245; 961029096; 308153015; 75386657; -1; 430935307; 945134730; 554733958; -1; -1; 544971344; 770727082; 266062645; 126447594; -1; 850526394; -1; 481447578; -1; 369063475; 494412207; 209744720; 987582112; 671698672; 173335177; -1; 802788233; 707283582; 53490603; -1; 755072764; 468437898; 333153796; 938270076; 211923103; 171552009; 658945241; 311151701; -1; -1; 464626958; 446453516; -1; -1; 819520839; 806905588; 495477220; -1; 619016053; 591896986; -1; 798807512; 429130998; -1; 602346362; -1; 966840248; 698376158; 974588828; 530969350; 963899751; -1; 458235304; 217954555; -1; 250203719; 161097898; -1; 537432323; 85003600; 239181218; 556872182; 384147148; 188584864; 549573572; 461180293; 375783801; -1; -1; -1; 288817568; 791493520; 383349843; 849531333; 237242123; 456696977; 663469911; 249673798; 314744276; 707395451; 699462845; -1; 822535454; 950071379; 421435725; 995196864; -1; 20344932; -1; 4073903; 746424713; 93978045; 6672579; 999781086; -1; 947907539; -1; 566939214; -1; -1; 533234208; 622442871; 37751101; 346086090; 1091106; -1; -1; 906947132; 725007265; -1; -1; -1; 942391704; 226421739; 200073997; -1; 241677584; 789756619; -1; -1; -1; 524783636; 99345908; -1; 138280755; -1; -1; 281664007; -1; 557469295; -1; 578295351; -1; 591961012; 159449293; -1; -1; 296117328; -1; 796938344; -1; 230952232; 943965171; 304425789; -1; 641082729; 4225697; -1; -1; -1; 720119180; 273058422; 724703648; -1; 426754957; 850912386; -1; -1; 565302658; 920455842; -1; -1; 206311672; 607571591; 860933352; -1; -1; 391518941; 774264159; 489996217; -1; -1; 774062269; 887306204; 335708665; 115052545; 74910067; 286157990; -1; -1; 24676012; 136011022; -1; 119616481; 776580542; 40679818; 668353854; -1; 813667418; 33978485; 714427717; 574719496; 23035152; -1; 64196340; -1; -1; 573782415; 550536722; 641626294; -1; 725637824; 989851795; 332067660; 32022276; 411401766; 129914750; -1; -1; -1; -1; 581755465; 397953418; 357386349; -1; 613963906; 157478870; 553250188; 137119564; 737433138; 369012085; 222160791; -1; 856452110; 384545919; -1; -1; 847413408; 36592523; 718165511; -1; -1; 836354022; -1; 189406399; 333758498; 424880168; -1; -1; 625933860; -1; 186995586; 467314357; 185787823; 787894285; -1; 821616103; 400183539; -1; 387768283; -1; -1; 204454269; -1; 75245494; -1; 937124157; 425515859; 453484984; 792948847; 408113626; 871698350; -1; 214501464; 422552393; -1; -1; 48682070; 534802341; 670827970; -1; 704485318; -1; -1; 119175374; -1; -1; 23240441; 899987948; -1; 709810745; -1; 898427372; 852280406; 66412598; -1; -1; 301409345; 466162193; -1; 556253001; 573601063; 506812931; 975719801; -1; 908990729; -1; -1; 531559334; -1; 12452060; -1; 350425734; 827671801; 573618970; -1; 103825661; 802863844; -1; 837279263; -1; 532406575; 28104328; -1; 819821311; 425763446; 321327394; 318896343; 978824075; -1; 874914061; 558611001; -1; 749930822; -1; -1; 468927403; -1; 441828717; 32761975; -1; 791260045; 490095750; -1; 859046126; -1; -1; -1; 114938206; 496607963; -1; 63172314; 760854661; -1; 144675823; 481687181; -1; -1; 161971567; 542758661; -1; -1; 32706262; 805088944; 681955101; -1; 267856783; 633425402; -1; -1; 580148264; -1; 495407535; 28121986; 862889833; 166890777; -1; 796035183; 543031753; -1; -1; 354434301; 432779615; -1; 805483767; 677747756; -1; 684511865; -1; 320865246; 998237437; 223502200; 44382299; -1; 509713204; 574886638; 433268209; -1; -1; -1; 551158022; 814748820; 956457719; 584141210; -1; 870036071; 186880550; 18305496; 168719081; 191827266; 672415044; -1; 134344034; 103122814; 364196842; 479980660; -1; -1; 928850496; 691099867; 369692879; 613533826; 619903578; -1; -1; 345099196; -1; 181497997; 130896382; 394731503; 52644153; 657694200; -1; 909186684; 67419846; 638334489; 307967298; 106743536; 304966782; 392195036; 466862907; -1; -1; 223092333; -1; 681885954; 802460698; 397608897; -1; 519535996; -1; 138485649; -1; -1; 563670354; 536310253; 199887781; 838724394; 503029562; 602822458; 739107773; 415709581; 619368144; 919372932; 457810942; 103864932; 835626244; 850768050; 446892043; -1; 357376855; 493974574; -1; 999510721; 446213444; 314633062; 454618131; 259335587; -1; 532945863; -1; 128717315; 621612630; 603944697; 633606951; 771627956; 207259744; 199533360; 928617890; 664439522; 884913403; 932811603; 393734856; 634051974; 513666986; 813358033; 971440513; 313019685; 774968300; 738350428; 595320052; -1; 876885380; 177475890; -1; 420791598; 679527831; -1; 615782974; -1; -1; 383166897; 458727377; 647544112; 815917329; 763099548; 338016403; 481982738; 833371872; 166463679; 475545661; -1; -1; 867539894; 235778322; -1; 440129379; 988564816; -1; 452288100; 113603301; 622635912; 736660677; 740873285; -1; 606192984; 792938344; 575127880; 659324639; 503159774; 817652264; 789310381; 535936489; 284998563; 821477844; -1; 861092468; -1; 329054772; -1; 339692047; 358770544; 465619556; 140000853; 704886237; -1; 204555257; 666004647; 870421455; 663790461; 293446756; -1; 256103313; 892318177; 663173586; 388508930; 890510488; 123961725; 961785465; 273453510; 437276674; 587020319; 888137222; 146044145; -1; 948729053; -1; -1; 356922763; 652134631; 547895390; -1; -1; 132111723; 181180912; 40259470; 293204353; 772233848; 31198624; 91891542; 289248618; -1; 257167018; 640747986; -1; -1; -1; 476009782; 362516852; -1; 457907373; -1; 528475671; 184949462; 160681261; 1511747; 166669020; -1; -1; -1; 733251357; 145173825; -1; 709991734; 437905098; 880679545; 447916249; 728372376; 282340122; 447659192; -1; 538483488; -1; 580561396; 672300570; 242920088; -1; 115022992; 568489643; 306806584; 24930733; -1; 636040592; -1; 923800670; 208345551; 678288020; 918260020; 249494319; 611565980; -1; 130704107; 828471160; 955424794; 980939427; 703032906; -1; 106961421; -1; 186189350; 451026338; -1; -1; -1; 128100967; 855494388; -1; 708047059; 984265199; 923217052; 220377770; -1; 267094695; 814610450; 871324740; 297046336; 80998448; 403280552; 468392061; 877879343; -1; 68100439; -1; -1; 720433326; 646407346; 51088391; 65443324; -1; -1; -1; 440760662; -1; -1; 218736844; 952566591; -1; 229789798; 922862240; 942868223; 990208137; 843163825; 623556527; 39881295; 166015641; 511869374; -1; 618996738; 917467189; 592602803; 655376967; 686953354; 197466187; -1; 713687252; 512108183; 656878132; 958766303; -1; 336487543; 151809185; -1; 406636035; -1; 557713933; 895579539; -1; 280947621; 95446751; 165007553; 225759610; -1; 196014129; -1; 844325913; -1; 5872139; 919919646; 561885674; 702532421; 232495430; 183276555; 536635139; 148011021; 25999205; 79130956; 464923511; -1; 275364315; 910201705; 255275250; -1; -1; -1; 968394988; 241791772; 845800562; 295717434; 565256781; -1; 245711189; 920393223; 467135706; 370323385; 470696477; 316723869; 825124561; 156706361; -1; 880905041; 287209920; 670567935; 542552436; 636143034; 259043039; 455971591; -1; 118234825; 511236683; -1; -1; 925999549; -1; 818814024; -1; 867021616; -1; 663302224; 350064422; 864230495; -1; 603062787; 64916300; 96044473; 204873441; 792026335; 435690081; 35849617; 833676850; 128178315; 194858124; 89993980; 465752478; 206890733; 772021939; 65712616; 122995169; -1; 37163999; 503552159; -1; -1; 19906524; 890649630; -1; -1; -1; 696486929; 484156958; 79789513; -1; 35650315; 702876300; 479672841; 623873935; -1; -1; 623492869; 937740012; -1; 179387326; -1; 788428594; 266090291; -1; 230615897; -1; 549855083; 888022737; 914040315; 898556847; 67763530; 822127513; -1; 694692791; 405825991; -1; 517330713; -1; 130273110; 407276912; 779695700; -1; 686050733; 721018009; -1; -1; 267097099; 187220680; 5261681; -1; 947459416; 75503946; 582782535; 33147055; -1; 232168494; 943548029; -1; -1; 554812290; 27994966; 488619634; 907513547; 452255643; -1; 9783012; 462429702; 286397033; 492699261; 234013628; 185585903; -1; 639220839; -1; 327926415; 726232552; 663414768; 784786071; 194691201; 758199870; 740428988; -1; 626754496; 962488466; 620642845; 326383389; 955325894; -1; 913151406; -1; 70106627; -1; -1; 613767178; 191386128; 663896409; 419438224; 772606511; 296560234; -1; 121365360; 424384136; 998337862; 525261949; 76347872; 292178019; -1; -1; 575385529; 547647639; 277767179; -1; 305597013; 427815861; 51660747; 123142029; 65883169; 544158833; 156448004; -1; -1; 956582830; 673505613; -1; -1; 66431083; -1; 706591619; -1; 706204192; 901041535; 207220202; 729692150; 34065986; 371788477; -1; 441861542; 794717095; 509603390; 690341025; 845550380; 804362087; 167584979; 871228469; 19776577; -1; 291118787; 507632649; -1; 974519542; 126975950; 895206784; -1; 854775363; 753855813; -1; 745704318; 203143516; 998386009; 363128640; 793227826; 2656571; 284390585; -1; 510350731; -1; 700402233; 407576718; 697066575; -1; 163276434; 265828699; -1; 467661424; -1; 659115088; -1; -1; 433536222; -1; 443088082; 72344342; 218743454; 793532826; 78394412; 222030918; 492979665; 717283574; -1; 870085865; 520379504; -1; 229387061; -1; -1; 179225754; -1; 328877412; -1; 153058003; 611717215; -1; 99740118; 236529525; 186601797; -1; -1; 7025463; -1; 620278952; 976568783; 166324776; 959631618; 510365288; 635653570; -1; -1; -1; 949547727; -1; 825826614; 728056135; -1; 777481881; 374682125; 49116093; -1; 616405144; -1; 691883794; 906672439; 229063810; 874892833; 488740602; 125206771; 268301375; 55641049; -1; 16994746; 492194265; 873560484; -1; 403398861; 980378196; 823941812; 756330725; -1; 741004192; 892468047; 931884920; 416538328; 780806102; 896218282; -1; 134686792; -1; 139416405; -1; 935785485; 909574601; -1; 277181217; 266096025; 714168033; -1; 507934607; 995958556; 491560820; 543532218; -1; -1; 925997773; 958177469; 69901945; 256942133; 915212544; 106725638; -1; 554560131; 609537026; 367313361; 894816711; -1; 469343628; 986239642; 990605552; -1; 982740805; 513280632; -1; 524768013; 585529530; 133357964; 499611616; 364005309; -1; 298799302; -1; 39299756; 671386304; -1; 999932944; -1; -1; 972121034; -1; 989037721; 954821750; -1; -1; 291983826; -1; 127651155; 404846051; -1; 825303053; 222541718; 140439957; 868470120; -1; -1; -1; -1; 433537173; -1; -1; -1; 990816324; -1; 874234485; 61174589; 360686969; 138367643; 307884048; 100465073; 242795626; -1; 147833961; 532370396; 502998641; -1; -1; 130767003; 858710122; 931253556; -1; 252925863; 853115148; 814488896; -1; 914525270; 860760688; -1; 191929085; 692039474; -1; -1; 848242394; -1; -1; 595069013; 827550140; -1; -1; -1; -1; 717163343; 1649358; 790407150; 604647699; 791279138; 74028641; 794610478; -1; -1; 443191190; 234782753; 583512398; 802345064; -1; 244986735; 958187229; 60737945; 701550904; 469571736; 165315988; -1; 949902277; 357201431; 388170010; 14042446; 516512955; -1; 53637367; 24886949; -1; 261668695; 642867755; 494281114; 937236540; 179417750; -1; 847810741; -1; 767179030; 638044700; 749164950; 933652226; 904801070; 955526290; -1; 275814093; 155663474; 820240027; -1; -1; 126610653; 862885363; -1; 301989128; -1; 415697896; 124342215; 403618811; 227019727; -1; 930994259; -1; -1; 581177982; 879099431; 751542235; 554442086; -1; 971852817; 873036356; 377967029; -1; -1; -1; -1; 567720187; 192474972; 150084569; 285129452; 785965503; 223731189; -1; 399532453; -1; 238784079; 893460042; -1; 979297000; 487995833; 233381675; -1; 784279335; 572593574; 891516267; 741031860; 695244715; 646251592; -1; 19218383; 730784145; 242861449; 872672874; -1; 594528505; -1; -1; 779169399; 98036988; -1; -1; 261380377; 4493138; 89513697; 33360058; -1; 202257499; -1; 482951805; 361570275; -1; 920975494; 624774871; -1; 164978577; 872432769; 914600124; 17843710; 9863625; -1; 135898337; 599336270; -1; -1; 408606353; 437174956; 166538949; 990890088; 431754375; 314978910; 291824477; 550502335; 730977819; 703465741; -1; 811093978; -1; -1; 853643418; 68020234; 923417625; -1; -1; 437645419; -1; 979864510; 883350392; 364840987; -1; 818354733; -1; 198338820; 663279868; -1; 38326028; 245044242; 832986942; 71264227; 862659051; 719427946; 237675172; -1; 191198246; 53870084; -1; 406208098; 783868930; -1; -1; -1; -1; 908665238; 915687039; -1; -1; 482126654; 139267754; 56751544; 424485314; 958605149; 932082027; 8441300; 325325286; -1; 423658307; 746385947; 502122105; 392193731; -1; 509407493; 501112049; 56123586; 603410939; 593287251; 210330999; 234981169; 857809149; 626079530; 302540697; 316782294; 946703836; 838978431; 395689728; 62667075; 74016975; 245437937; -1; 239560668; -1; 931595421; 187221628; -1; 891621527; -1; 2770015; -1; 225926186; -1; 178074980; 612011288; 101497167; -1; 497651305; 727015312; 241477116; -1; 808018028; -1; 907795557; 108227135; -1; -1; 309742737; 304521879; -1; 180377896; 997922892; 206543455; 500955783; -1; -1; 88924008; -1; -1; 588946468; 558783930; -1; -1; -1; 151118709; 621093565; 956659746; 32944571; 981164979; 449147208; 181809976; -1; -1; -1; 57686076; 803314808; -1; 157669532; 374032928; 477096675; 96797534; -1; 824835039; -1; 540507615; 776415940; -1; -1; 287563498; 112146243; 513572091; -1; -1; -1; 440607316; 670569932; 957320197; 53028735; -1; 149865977; 146180687; 40416700; 386785284; 855800812; -1; 359262498; 608304165; 46447683; 675648582; 610005013; 408074889; 560168419; 96196398; -1; 290120484; 192739272; 147705966; 142063819; -1; 505238815; 943122283; 80064195; 354211185; -1; 183720925; 161447940; 700272432; 902155910; 155391723; -1; 661845533; 563189192; -1; 109309645; -1; 587683000; -1; 605874053; 903396156; 842479196; -1; 302189687; 445006317; -1; -1; 698698803; 232487083; -1; -1; -1; 52101444; -1; 726296197; 30879701; 884506453; 854595958; -1; 138378039; -1; -1; -1; -1; -1; -1; -1; 36781756; 943356991; -1; 271740281; 5077124; -1; 650164694; -1; 785820654; 159705873; 322317486; -1; -1; 548007987; -1; -1; 136650939; 561744141; 473593890; 245465307; 380178658; 415481283; -1; -1; 407869756; 814686159; 510658983; -1; 518758514; 641061800; 329094946; 789387591; 429704986; 658023209; 969965147; 363981755; -1; 902910856; 986107570; -1; 60407258; 605115114; 895067240; 414153641; 44702157; 793679869; -1; 528651231; 415972138; 655173366; 772536974; 319956342; 676899642; 786583453; -1; 277193585; 5933340; -1; -1; 862006609; 399890746; 972466806; 122265219; 374176038; 624794139; 305718666; 113675471; -1; -1; -1; -1; 905536506; -1; 142306414; 565332133; 23188915; -1; 632230175; 825862030; -1; 84721500; 977935007; 682783988; 403202358; 604906001; 979388880; 481892647; 436754097; 364906238; -1; 615750076; -1; -1; 660879632; 746565680; -1; -1; 47725529; 613038729; 47965217; 343489375; -1; -1; 768658684; 317044736; -1; -1; 562617074; 389803294; -1; -1; 888923544; 448210938; -1; -1; 745673335; 131681164; 692701493; -1; 529286981; -1; -1; 36265770; -1; 978988530; -1; -1; -1; 840048824; 900260800; -1; -1; 964569661; 458291382; -1; -1; 127609713; 380712141; 995787165; 692303656; 326963422; 121276079; 575896746; 234880755; 861497157; 432922669; -1; 33047915; -1; -1; -1; -1; 659883992; 353268409; -1; 846207060; 250338967; 56497594; -1; -1; 852908766; -1; 421331193; 420755852; -1; 536986356; 979327480; 189099173; 216451629; -1; -1; -1; -1; -1; 3154477; -1; 217865142; 395813806; 106052633; 860206817; 153708874; -1; 38503736; 696782194; 837477720; 910787379; -1; 917278106; 106968577; -1; 955520833; 839058345; 898772585; 448630700; 136718572; -1; -1; 293260742; 884139536; 926919594; 23214358; 715992129; -1; -1; 801143465; -1; 755346566; 4441894; -1; 751419380; 356847196; -1; -1; -1; -1; 97632356; 338113013; 329087330; 268535157; 391455755; 767270106; -1; 70085733; -1; -1; 596350896; 93291044; 303482056; 109261446; 989943026; -1; -1; -1; -1; -1; -1; 498587568; 94790671; 275285954; -1; -1; 852703960; 22639774; 331361811; 205006604; -1; 630862454; 284205; 860183307; 469671054; 159882080; 776544756; 882609094; 499827942; -1; -1; 975481947; 578059440; -1; 940523246; 751495271; -1; 393913523; -1; 818408440; -1; 979194547; 244288567; -1; 256240529; 647181277; 935215657; 29965325; 158284939; 737635325; 657242828; -1; -1; -1; 332180632; 897435235; 583367724; -1; 19471217; 576815550; 406600361; 289200077; 486374560; -1; 96064050; 294720846; 573247163; 153045221; 578880761; 698868811; 158991038; 936787437; 715784150; 155501354; 355238100; 970973865; 232190439; 758083386; -1; 9336527; 432387386; 596102681; 377014629; -1; 895222587; -1; 285520455; 862635175; 353269267; 586839684; 431983827; 903910284; 848794624; -1; 478420170; -1; 214585580; -1; -1; -1; 646732949; 937514356; -1; -1; 428718620; 692047612; 62208382; 453831712; 801199207; 831639664; 965766021; 135754412; -1; 437457583; 114909511; 432100913; 221215951; 441089603; 17727138; 636353627; 432903476; -1; 770857814; 180145731; 504853986; -1; 686875712; 573786289; -1; 578845286; 313110844; 120414001; 450452106; -1; -1; -1; 785975449; 257050369; -1; 330889019; 689626228; 556870913; -1; 727715372; 555965067; 786182340; 902792701; 680551519; 619629467; -1; 300759201; -1; 608521932; -1; -1; 870670836; 277425835; 128778815; 820219633; 815391762; 453770095; 782111963; -1; 726596562; -1; 660376530; 729827666; 38500108; 689267007; -1; 51805328; -1; 539801878; 797403351; -1; 529964947; 317701631; -1; 265377344; 883387751; 629244828; -1; 306237481; -1; 366189205; 931465866; 85730836; 154171228; -1; 14801365; 69716772; -1; -1; 334964620; 717435618; -1; 927654534; 510030241; 861298378; -1; 472219509; 783692928; -1; 205548138; -1; 888819246; 195788865; 255105; 616890144; 248749023; 163170419; 151921670; -1; 965180261; -1; 825557228; -1; 657576575; -1; 665619355; -1; 42663422; 574960588; 570948374; 910326307; -1; 306602203; 442833239; 674858236; -1; 848274440; 762823490; 367085283; 522453330; 101906117; 379558554; -1; -1; 15383070; 852271375; -1; 480688090; 75622016; 746211766; 575193948; 677069355; 481569412; 573673696; 73849272; -1; 291310700; 920490938; -1; 780119674; -1; 837069117; 797284981; 763223605; 751038699; 667213752; -1; 915131600; 867947449; 559384447; 540622959; 773995755; 218686628; 416580866; -1; 52233613; 757113424; 832603147; 247862483; 732431695; 487662142; -1; 487780402; 557149461; 516148087; 678484573; -1; 325730771; 136204797; 722175642; 400479242; 333175170; -1; -1; 996773780; 613960440; 576671874; 108231349; 838860621; 918410305; 483279269; -1; 480727095; 888013931; -1; 99731886; -1; 205124943; -1; -1; 960749214; -1; -1; -1; 632926085; 597397991; 797410259; 863496610; -1; 385451721; 863766150; -1; 877160812; 412171766; -1; 480923082; 934303348; 233389424; 272212103; -1; 874604177; 967639857; 798188696; 774805183; -1; -1; 581435270; 688744935; 268587578; 34270700; 624948655; 816877099; 229238883; 195433218; 241562243; 390501778; 186379942; 180441964; -1; 831005896; -1; 768647932; 750870055; 492445892; -1; 337772438; 510544084; 14021164; 368130752; 357941128; -1; 964611556; 496334818; 589694751; 945153784; 503614144; -1; -1; 394898399; -1; 5289887; -1; 921584914; -1; 70779839; 567707826; -1; 756812816; 331586774; 109782719; -1; -1; -1; 780358147; 532760760; 626636402; -1; 487285921; 46032036; 120691761; 331943765; -1; 829391527; 864488972; -1; 465337203; 371543772; 461707040; 209458596; 445220124; 358145133; -1; 794912067; 866933638; 760496539; 495739931; 692605846; -1; 838247169; 542647113; 500084429; 270646934; 271114945; 502042619; -1; 878623130; -1; 23704434; 452286164; 337322054; 731653168; 727796374; 548831215; 203341652; 682406201; 203815469; 865849291; 949179936; 81041120; 622572699; -1; 882834732; -1; 71507541; -1; 745225220; 945027581; -1; -1; 371345188; -1; 677383239; 188128084; -1; 681642174; 196971369; 969019095; 679654075; 306011582; 583064827; 345426942; -1; -1; 21146864; 780244698; -1; 108808209; 457127134; -1; -1; -1; 397352105; -1; 867576712; 59330099; 951611740; 757057583; -1; -1; -1; 958760339; 112971005; 668712387; -1; -1; -1; 368627457; 965776205; -1; 218117789; 280836162; 487503900; 426268349; 380638974; 517672868; 884764049; 926457691; 894426432; 309015975; 768336076; 54866458; 921998598; 307702468; 861975425; -1; -1; 584446786; 862640499; 916116537; 867716815; -1; 894928153; 965478915; 578508906; -1; 697837025; 453233382; -1; 759227372; -1; 134542962; -1; 409258778; 27384339; 556910673; 321831577; 257965185; 353171086; 732361550; 197352583; -1; -1; 102556184; 165107416; 319120862; 646420680; 142678410; 225588702; 815186204; 13749634; -1; 579246875; 77207592; 93972839; 666505919; -1; 545681586; -1; -1; 32237576; 237114615; 218592812; -1; 797383820; -1; 35929744; 342950684; 334560086; -1; -1; 584772857; 389769622; 54657986; 279192370; 109491364; 953940943; 579829367; -1; 797076600; -1; -1; -1; 409210290; 986960628; 652049814; 442348503; 53528827; 954320424; 877672388; 206032614; 904270670; 851628201; 203572825; 599665738; 769790748; 973174477; 469582739; 204167892; 877070825; 443405830; 748973856; 802329672; 337394353; -1; 626267396; 208190450; 53232224; 362173040; -1; -1; -1; 765623945; 52607898; 682910290; 370376030; 844875135; 704656476; 933569744; 736854303; 914009449; 214575773; 612577845; 547748429; 559535577; 573127689; 673195899; 470846486; -1; -1; 192025424; 596831393; -1; 510251130; 154701422; 294064910; 590351235; 374518683; 598947122; -1; 74912156; 165442344; 391040731; -1; -1; 804732184; 729542856; 453768842; 313535749; 745379492; 216912982; 703031622; 824582522; 865247699; -1; 650867506; -1; 716851583; 710576045; 196326467; 812667463; 54995860; 843605586; 966917488; 507078109; 69393189; -1; 905985284; 348038240; 766460427; 186115429; -1; 798981647; -1; 334643695; 143641769; 880363600; -1; -1; 69846355; 768865088; 191857974; -1; 237669898; 534884800; 263528558; 454013808; -1; 420569748; -1; 543323196; -1; -1; 212878590; 564619119; 852114650; -1; 149630837; 120081731; 882993313; 649989708; -1; 673618265; 71697390; -1; 479736963; -1; -1; 473950109; 344335732; 327229586; 53710434; 876482562; 253249348; -1; 487967754; 770066037; 581321736; -1; 486266621; 793211743; 445976820; -1; 806758806; -1; -1; -1; 203934343; 764621763; 317325402; 923243731; 211595128; 548162279; -1; 705418736; -1; 632953234; 262580568; 555263435; 674259187; 299312429; 670124338; -1; 148572887; 36946694; 659886059; 259816163; 287749082; 740255719; 151393460; 973941962; 920574753; 551507317; 466681750; 317038657; 501202556; 816683657; -1; -1; -1; 32229931; 928021300; -1; 334106233; 29845978; 636392783; 326264566; 704162640; -1; 974481461; 630985996; 791338390; -1; 980928659; 320150932; 23298094; 745654810; 437728030; 821331148; 451065385; 185429268; 576028579; 189731227; 989065607; 513320199; 210975741; 821220288; 670197645; -1; 285726243; 154651403; -1; -1; -1; 100887899; 283260681; -1; -1; 762095827; -1; -1; 16973476; 621009826; 421113029; 738452906; 436102835; -1; 947537056; 464510337; 8389246; -1; -1; 427279778; 890318180; 709449988; 929654019; 572517360; 80883613; -1; 46018063; 928811554; -1; -1; -1; 150546403; 612058754; 838431181; 593803062; -1; 978752099; 302744319; -1; 25345487; 324514584; 359059611; 750781102; 531164858; 542442274; 549078707; 695434740; -1; -1; 514563254; -1; 488083563; 419119987; 775938333; 201054148; 824836273; 962080171; 983883477; 566557703; -1; 353055103; 548334357; 533599599; 307311491; 359893413; 158040757; 912155466; 264893969; 478515567; 979242700; 512427523; -1; 521312576; -1; 133846713; -1; -1; 620964594; -1; 361401150; 776150154; 139698134; 916133976; -1; 938684038; -1; 309395985; 43980582; -1; 653852079; 350187848; -1; 20218408; 435478546; -1; 942379844; 187769272; 249667670; 122323859; 298016715; -1; -1; -1; 281701660; 78131196; 44591870; -1; -1; 761404174; 665540519; -1; -1; 945753810; 767259653; -1; -1; 722162581; 948547986; 520546641; -1; 632013523; -1; 255373895; -1; 54574699; 670656292; 576136988; 434033665; 413910415; -1; -1; 178105170; 250738973; 171075892; -1; 305104681; 757552716; 696892066; -1; 229605311; -1; -1; 790039752; 909407621; -1; 372254318; 824632603; 777719419; 420876047; 202674548; 792016202; 633738417; 279398864; -1; 800766941; -1; 44659295; 127158088; 903301988; 729600580; -1; 908985533; 361288825; -1; -1; 220985279; 962596574; 302377659; 460403718; 450027394; -1; -1; 911871734; -1; -1; -1; -1; 756115135; 655932446; -1; 237764856; 804041797; 61792483; 290572558; 852229335; 681535970; 826344567; -1; -1; -1; 60129489; 30189816; 556763933; 36944146; -1; -1; 134197236; -1; -1; 888523719; -1; -1; 628039776; 591450220; 380634126; 308896722; 438942502; -1; 466779483; 682471266; -1; 844659925; -1; 615549090; 408617697; -1; 316789741; -1; 895561680; 763312384; 863941022; 425801478; -1; 439092229; -1; 431346174; -1; -1; 439179512; 629588366; 856322605; 338068641; 608873808; 149855059; 472752845; 946436030; 885111644; -1; 158781633; 296514608; 725114025; 503002092; -1; -1; 510148105; 140703048; 157523276; 303439487; -1; 196691405; 190531364; -1; 78728852; 356461032; 64737298; 774551983; -1; -1; 612773669; 456080244; -1; 129885738; 664810956; 786256039; -1; 729042622; 141548825; 247926474; -1; 221137635; 618862054; 699381037; 535161598; -1; 491374268; -1; -1; -1; 634901547; 126825268; 249304084; 583276494; 130294940; 933438343; 811948964; 812098158; 77751207; 435885948; 162068812; -1; -1; 56082761; -1; 312281353; 586589531; -1; 15868452; -1; 266785729; 61584003; 78735327; -1; -1; -1; 671078118; 287590464; 764647804; 41969414; 516456777; 853750675; 486844789; 124065677; 771583855; 829191356; -1; 279224346; 560697613; 403600025; 2831622; 103330583; 693694868; -1; 451334844; 292721568; 854918744; 684865703; 124237860; -1; 563809290; 132685821; 186862071; -1; 134013445; 157076341; 696014922; -1; 887645508; 892478266; -1; -1; 691083857; -1; 489938397; 755659840; 74713894; 269400240; 560974350; -1; -1; -1; 109943398; -1; 631893878; -1; 420569556; 568596918; 329901018; 252220819; 893085793; 449390766; 340887948; -1; 821719932; 661321937; -1; 312792156; 928465674; 646903956; 760711274; 671872015; -1; 980678173; 697256330; -1; -1; -1; -1; 985738995; 393250154; 179552886; -1; 480408820; 74515608; -1; 453933881; -1; 564279977; -1; 329272978; 454004847; -1; -1; 835335862; -1; -1; 458783755; 184062811; 426163548; 824135116; 769926872; 799668164; 392875426; 444372321; -1; -1; 95965931; 710760976; 593809563; -1; -1; 405549743; 580911368; 590089902; -1; -1; 993352574; -1; 560858265; 925015026; -1; -1; -1; 23123379; 679382292; 695343587; 957891128; -1; 691534676; 652110360; 347882094; -1; -1; -1; 123204688; 277776855; 942896461; 685715134; -1; 370774588; 858108351; -1; 33057547; -1; 526055172; -1; 83289107; 574983748; 995760147; 621624854; 317866317; 710226579; 821170635; -1; -1; 518638958; 449416943; 15135544; 359826231; -1; 915494124; -1; 902805944; 996132378; 607538082; 634839898; 320432773; -1; 573759965; 919773735; -1; 239108898; 932884034; 102146283; 967434452; 267663992; -1; 658341486; -1; -1; 843103039; 102198827; -1; 627824740; 638146487; 502994033; 169754845; 41822469; -1; -1; 153021360; 977678696; 145951675; 142221339; 657918510; 489599324; 728472331; 429209662; -1; 114875211; -1; -1; 175739842; -1; 346408495; -1; -1; 385500473; -1; 952538423; -1; 21487404; -1; -1; -1; 179757602; -1; 457161473; 952801463; -1; -1; 429591079; 882993094; 94753828; 739269136; 780815285; -1; 223991356; 161743126; -1; 595504145; -1; -1; 595918153; 450628394; 513597991; 343876199; 645669492; -1; 202331995; 900187224; -1; 224693238; 711528861; 241222533; -1; 148847923; 624121230; 889318861; 702148011; 653860447; 476247132; 251247125; 879955847; -1; 813295559; 59774481; 874255337; -1; 443931318; 1806465; 470583912; -1; 41423009; -1; -1; 453366241; -1; 417123427; -1; 103565273; 357220571; -1; -1; 45764951; 968878455; -1; 67992655; 215869634; 68966060; 470658471; -1; 517074605; -1; 14996217; 806541878; -1; 737827099; 862681381; 75893662; 461491409; 650394955; 588866530; 659269029; -1; 59455949; -1; -1; -1; 432946109; 801780952; 686985833; -1; -1; 620254880; -1; -1; 353460677; 258515691; 515690453; 579309608; 814110262; 167077293; 58360441; -1; -1; 438243106; 251654037; 904717114; 607562152; 847297202; 197619036; -1; 5424954; 800826150; 883566211; -1; -1; -1; 174153487; 547882853; -1; 904906727; 464900695; 362357529; 756853807; 634826190; 890524234; 395295361; 738493271; -1; -1; 93935179; -1; 566945886; -1; 652542580; 538732944; 709631617; 805690401; 638182673; 990728466; 265198668; -1; -1; 126290843; 118065155; 200943927; 706824133; 439903112; -1; -1; -1; 652483198; 938067138; -1; 278104108; -1; -1; 488712569; -1; 779722055; 622088702; -1; 987064924; -1; 750095269; 914486662; -1; 494807726; -1; -1; -1; 898821501; 354440627; 126363756; -1; 703470007; 993742121; 85967389; -1; 382170148; 856234884; -1; 792550796; -1; 714904181; 428240315; 146035580; -1; 951355042; 542445149; 810948981; -1; -1; 946963426; -1; 437722528; 242615603; 316867010; 74502751; -1; 794277288; 882363213; 387264487; -1; 959868265; 61745496; 346653804; 90807540; 999745141; 970564309; -1; 570159805; 270255107; 879727189; 136313101; 474112343; 399493681; -1; 258530193; -1; 750328903; 960086105; 844303304; 388911584; 766795036; -1; 800029705; 186898734; 654666247; -1; 228440087; 341866390; 36856650; 772033761; 57708380; -1; -1; 149775728; -1; 379799732; 283270182; 670535589; -1; -1; 55752195; 353503934; 941018369; 58323878; 788355360; 39348712; -1; 791119232; 372463471; 643154777; -1; -1; -1; 925122006; 629613084; -1; 731922781; 340099955; 142729295; -1; 262073610; -1; 182828961; -1; 639791521; 586800909; 651799182; 43908290; 275140243; 770697066; 61870200; -1; 799388458; 622502935; 17556678; -1; 643059674; 641249336; -1; 516768269; 10818368; 968094976; 241376103; 515827211; 796571551; 273268828; 154417647; 316595854; -1; 81207183; 101591015; 756392421; 430952274; -1; -1; -1; 693546188; 16457240; 24065581; 550850810; -1; 972250055; -1; 349610015; 395592889; -1; -1; 318561226; 150325054; 787709538; 640865904; -1; -1; 43643410; 3723111; 707570996; -1; 557861335; 237987908; -1; 910065893; 210623287; 730303511; 689087912; 752308987; 854409092; 434670538; 714486196; -1; 582188672; 472845210; 852234436; 35533081; 411511453; 63012414; 499028438; 257269083; -1; -1; -1; 241018695; 799049232; 691193026; 760511030; 827561707; -1; 867477498; 406258729; -1; 720899618; 301494290; 962459812; 294137282; 511415806; 65152990; 839167038; 310402037; 63339594; -1; 340670845; 101974487; 718605283; 584596915; 480400389; 505970738; 78327056; 995802234; -1; 408478413; -1; 120161703; 692187601; 986665268; 13145824; -1; -1; 219828405; 679975145; -1; 248073442; 976261928; 577011333; 737520882; 323599537; -1; -1; 180873941; -1; 78478265; 809165690; -1; 622739190; 801431834; -1; -1; 224149524; 199078793; -1; -1; -1; -1; 662699605; 593457984; -1; 75529415; 270770625; 922756958; 31627777; 637241945; 927480825; 152709471; 738154384; -1; 459108239; 884215748; 951285613; 325657947; 395615657; -1; 919411065; -1; -1; -1; -1; -1; -1; 276662185; -1; -1; 500494410; 91345537; -1; -1; 275116383; 910737943; -1; 739530242; -1; 464665127; 423447422; -1; -1; -1; 859978327; 470674249; 833868702; -1; 72325181; 786485262; 942970687; -1; 342071587; 669771025; 959341353; 631944873; -1; 129596401; 903372248; 95370583; 212940535; -1; 775887530; 568549034; 697040821; 992677882; 196481494; 525275870; -1; 13854840; 386471787; 22761704; 165290588; 790185818; 439824844; 81326377; -1; 853213766; 584045694; 600758888; 879885325; 611542801; 232504196; 407128397; -1; 404566653; 890245521; 852795007; -1; 486857268; 305989491; -1; -1; 221171850; 499887172; 131309956; 13359717; 962395199; 732968030; 448586028; 772439436; 921580906; 65179225; 678064273; -1; 613317140; 810476606; -1; 24166904; -1; 495904520; -1; 659170228; 498609226; 792996431; -1; 163667735; 284801751; -1; -1; 189586888; 821733632; 298786098; 550814712; 541861136; 159466230; 700499306; 665478031; -1; -1; 531956306; 230344983; 480955070; 5744384; 978679846; -1; 687865540; 401162813; 601048827; -1; 516016337; 562499403; 530326384; 23067509; 406885567; 185610115; 79125465; -1; 227943171; -1; 4492445; 724886385; 462289410; -1; 541559333; 452444197; 48238701; -1; -1; -1; 242862655; 243214350; -1; 372075339; 333169990; 226167377; 223858022; -1; 209298564; 441879963; 793810393; -1; 301832661; -1; 880251387; 798422975; 460199889; -1; 471864731; 102863930; 943915665; 882859199; 929865478; 676514669; -1; 838515426; 310306214; 433072414; -1; 259706068; 898876352; 21579354; -1; -1; 254323828; 270467380; -1; 535006277; -1; -1; 206999691; 998081781; -1; 278747084; 310980537; 682753010; 143059285; 478636243; 137159761; 527765624; 236364954; -1; -1; -1; 665347793; 416488320; 671493500; 176220314; 79472015; -1; 673171256; -1; -1; -1; 32487390; 520556935; -1; 39455928; 134087760; -1; -1; 120092611; 982793738; 139953974; -1; 994189934; 356795157; -1; -1; 603273450; 781266547; 194460408; 124004042; 446639829; -1; -1; -1; -1; -1; 795902771; -1; 37425822; -1; -1; 783704600; -1; 286088305; 275716570; 497504939; 335787473; -1; 853956439; -1; 802737154; -1; 996193240; -1; -1; 241089746; 234737208; 951362825; 76901791; 547300606; 164184340; 417425840; 485607711; 507507364; 360257011; 301138033; -1; -1; 137632902; 520590098; 27669629; -1; -1; 807463721; -1; -1; 1067390; 525767856; 476831316; 423742456; -1; -1; 691762836; -1; 623737238; -1; 604502484; 554184826; -1; -1; 46515352; -1; 32072949; 830541507; 56794644; 497362008; 174970550; -1; 602368481; 935239676; 318775688; 890671276; -1; 324645778; 904995729; 895838853; 409672161; 107397965; 624471040; 183677659; -1; -1; 43746041; 87190995; -1; 127464255; 80573910; 606914781; 760034537; -1; 795012265; 173544296; -1; 91641613; 357700805; -1; 431793600; 320914396; 551987217; 218515513; -1; 712334203; 906022322; 536275867; 186468614; 119140438; 507572665; 470419919; -1; -1; 781852513; 906179195; 110522043; 401006; 519359939; -1; -1; 564746743; -1; -1; -1; 908210510; 459976926; 677974263; 590659017; -1; -1; 324483150; 914685609; -1; 298935210; 810211887; -1; 944033496; 567000002; 39491850; 316189082; 649886808; 838452048; 401384263; 278850929; 482821586; -1; 711909498; 576409890; -1; 858258758; 71788091; 753605274; 569232061; 923776803; -1; 571405964; -1; -1; 691505594; 860313079; 734193542; -1; -1; -1; 759669718; -1; 537167869; -1; -1; -1; 729639413; 45681047; 759514618; 320543607; -1; 732917377; -1; 866201554; 266221408; 512311583; 445054948; 929823781; 301888596; 638542804; 20420448; 203528406; 367046447; 47947432; 456699006; 956900713; -1; 498672279; 210789737; 454994169; -1; -1; 234950589; 17308889; -1; 985529651; -1; -1; 242266031; 193019682; -1; 226591804; 248567537; 480582467; 107258008; -1; 282869449; 131028476; 897903112; -1; -1; -1; 332653469; -1; -1; 486531852; 643238893; 21707750; -1; 474038227; 622712572; 498724148; 817755410; 928523654; 397354560; -1; 905420351; 885807497; 617508995; 636483849; -1; -1; -1; -1; -1; 802196593; 850096391; 518353283; -1; 26821678; 583928984; 104227583; 731312342; 829876565; -1; -1; 560221305; 650776376; 155187740; 850619780; 585784985; 324343299; 374574377; -1; 282296768; 424511346; 857041941; 571454583; 912339669; 135953566; 357199568; 194020223; 375067091; -1; -1; -1; 88905238; 266639344; 840688597; 498860228; 996192386; 876870530; -1; -1; 798021892; 6187366; 550631960; 388367611; 693074616; 202024263; 766648497; -1; -1; -1; 519644461; 319192645; -1; 470075883; 306005667; 287891130; 700416247; -1; -1; 103945850; 203457654; 578295610; 213703051; 891829226; -1; 378902708; 851042388; 197611932; 271400811; -1; 298502142; -1; 305722771; 80748908; -1; 720764490; 133841564; 745615629; -1; 233796490; 651150221; 566622677; 237519847; 473740037; -1; 648128532; -1; 293314613; -1; -1; -1; 492643924; 368988686; 259130960; 507408476; 767849481; 688930691; 193644470; 875453621; 667230243; 695980919; -1; -1; -1; -1; 866359738; 359498502; 460269194; 812764357; 982190773; -1; 628252110; 735176545; 729042539; -1; 644407505; 677168990; 797469843; -1; 731751940; 90373896; 500801465; -1; -1; 667618818; -1; 616461353; 235315548; 709218106; -1; 474761291; 447440427; 482561388; -1; -1; -1; 162002172; 784134060; 420075634; -1; -1; 8949181; 911143887; -1; -1; 443228431; 591014426; 522748694; 706749666; 144114763; 730846217; -1; 163745472; -1; 956524628; 575369735; -1; 182093278; -1; -1; 668126805; -1; 358807122; 541406394; 210486743; 434629852; 637325429; 773924007; 315389117; -1; 935903942; 450608094; 545996265; -1; 398855662; 699592694; 199288984; -1; 640866671; 514982584; 338697734; 93976462; -1; -1; 865785384; -1; -1; 482336348; 564904726; 662770318; 192521239; 488205737; 339014753; 670590366; 977416226; 228527278; -1; 232309325; 211143497; 78930563; -1; 101355944; -1; 171214050; 410785130; 318508173; -1; 554696057; -1; 619524730; 412487410; -1; 547849791; 477283333; 524585069; 211471044; 324761306; 896723035; -1; 535305134; 15416866; 147368747; 839179430; 394418959; 284431337; 265479049; 659807761; 28859747; 675025714; 189103031; 968755481; 659894124; -1; 919670930; -1; -1; 607547317; -1; -1; 567199788; 85310999; 171189304; 732914648; 439046230; -1; 308212566; 564651803; 673274807; -1; 419409294; 495054408; 623895813; -1; 904243327; -1; 423721951; 591218119; 660551895; -1; 371064431; 29747839; 309489408; 768405889; 748519940; 496012698; -1; 421448994; -1; 64389247; -1; 4561885; 81390687; 971259011; 682609707; 121836281; 179973693; 757535595; 715649722; -1; 912640130; 330695309; 354823830; -1; 99337730; -1; 322875745; -1; -1; 187210245; 604460869; 513601035; 223098239; 632932386; 836102997; 484124369; 138845501; -1; 612661602; 486421875; 388555726; 427298530; 787356072; 417675401; -1; 36433474; 52356991; 758896334; 845744482; 662800149; -1; 965637765; -1; 136435998; -1; -1; 730231768; 635779267; 871642602; 847782757; -1; -1; 246282404; 97971371; 940388661; 942622474; 441558971; 97722185; 252819621; 671016597; 924994401; -1; 955004983; 374721129; -1; 57773764; 22968383; -1; 632121760; -1; 348766895; 764139215; 233044131; -1; -1; 211927691; 303984487; 478967793; 42948921; 243891871; -1; 836067814; -1; 746217359; 361826505; 111606782; 509755788; 106579722; 219320931; 802489534; -1; -1; 50092938; 698642293; 11149280; 155603092; 719051646; 942574602; 148694622; -1; -1; 187409411; 208489465; -1; 21183360; -1; -1; 254452021; 660065726; 610215573; 392943548; -1; 538997963; 236255502; -1; -1; 538858443; -1; 833131990; 800217476; 913721795; 777905389; 485482818; 531826955; 505438088; 756567389; 298127351; 601926886; 451093481; -1; 484502011; 344124503; 403521227; -1; 807858995; 53345445; 713122628; -1; 759312095; -1; 152583210; 81272776; 990540470; 563324786; 625400583; 728566228; 417748878; -1; 342635547; 470716496; 148807487; 426537418; -1; 348430356; 759148435; 999829327; 5129879; 295572830; 873390500; 550246859; 425029937; 512828043; 545922117; 261701242; 290444472; -1; 688328142; -1; 204722396; -1; -1; -1; 340333486; -1; 739983175; -1; 744599670; 387868417; -1; 363945650; 148074351; 838721338; 670831893; -1; 56141303; 17216983; 625155622; -1; 241889450; 807614520; -1; 319826308; 39503270; -1; 429453297; 617910503; 65570084; 222363116; 832896043; -1; -1; 212215734; 881820807; 247548258; -1; -1; 370729367; 485756395; -1; 39554057; -1; 686351972; 70310645; 859226668; 34007727; -1; 706247293; -1; -1; 108009957; 795919435; -1; 46867955; 656358044; 47683565; 158528404; 157900903; -1; -1; 671273451; -1; -1; -1; 129148836; 409035546; -1; 773257431; 341144408; -1; 969641711; -1; 239894664; 526589333; -1; -1; 109456730; 311324805; 536835039; -1; -1; 128152586; 106003089; 826959776; 59580197; 317883230; 320299221; 938740696; 5513602; 1903517; -1; 662980445; -1; -1; -1; 415777663; 305076961; 588865849; 909114416; 830202429; 282417898; 263422374; -1; -1; -1; 505718840; -1; 274442147; -1; 332922501; -1; -1; 111588990; -1; 591445835; 729089420; -1; 705205302; 855189983; 83612539; -1; 178499918; -1; 494093339; -1; 321196812; 618625103; 596785175; 472830498; 655320564; -1; 704156382; 659669464; -1; 303969414; 83569640; -1; -1; 371912443; 8328369; -1; -1; -1; 731430688; 505836896; 87504383; 265623703; -1; -1; -1; -1; -1; -1; 387114611; 298949260; 992047452; 341060095; 68436589; 966362093; -1; 282583765; 806975810; 454103462; -1; 272281204; 466948617; 453565691; 650858851; 969599362; 690366284; -1; -1; 270188814; 563609688; 305087177; -1; 664210193; -1; 883047143; -1; -1; 851771518; 207822119; 195999252; 384030007; -1; 173377020; 769308204; 630278915; -1; -1; 842885116; 690633449; 408200555; -1; 481443286; 726808054; 433740523; -1; 336178095; 639685373; 369390427; 600930901; 283498599; -1; 168874248; 844983047; 18852769; 67931136; 655909269; -1; 785633028; 371267158; 505157584; 774629560; 313411436; 373175333; 871290572; 886955058; 807246308; 16858977; 822163328; -1; -1; 64499147; -1; -1; -1; 894968056; -1; -1; -1; 205767841; 930223408; 219418073; 791706137; -1; -1; 120617130; -1; 473793533; -1; 135517423; 216530006; 76979161; 988931519; 873937002; -1; 738075275; 37267146; 389675983; -1; -1; 384571639; 641582190; 707147419; -1; 350783314; 295425027; -1; -1; 699253861; 224693304; -1; 389151154; -1; 157591875; -1; 516072743; 120717240; -1; 902212175; 999662480; 86459063; 356431699; 583054383; 205080388; -1; -1; 167047273; 381579094; 952745425; 519618446; 876487094; -1; -1; 564061691; 120708411; 377073665; 218760221; 943012660; 563456310; 388826401; 719031857; 751886403; 767498494; -1; 851030288; 58471842; 448003245; -1; 151773075; 385233901; 714837484; 48109465; -1; 670291065; 105386983; -1; 734738145; 37925396; 303353407; -1; -1; 639488350; -1; 534905652; 487223523; 555383830; 596940127; 52191530; 429545212; -1; -1; 217880990; 942633716; 555162430; -1; 519997599; 798486301; 550344281; -1; -1; -1; -1; 201873047; 19272770; -1; 477994092; 175193066; -1; 188641166; -1; 490182585; 347341729; -1; 468981830; -1; 991227653; -1; 574265109; 441048715; 694121481; 350727126; 794217844; -1; 270731119; 314371850; 123128783; -1; 696937162; 614554044; 868986837; 431623559; -1; -1; -1; -1; 985132208; 290524064; -1; -1; 180611052; 238027749; 237312518; 985629829; 51350988; 619406334; 83057884; 195416728; 536892761; 150544551; 648864421; 992453892; 695573401; 597110803; 785431919; 620682934; -1; 407356677; -1; 960073394; 285907687; 724858828; 497624822; 810711483; 522330369; -1; 853499834; 980395178; 546857203; 734654796; 169957734; 930577358; -1; -1; 700835034; -1; -1; -1; 572281709; 12114577; 386188702; 784782285; -1; 284231694; 471088310; -1; -1; -1; 651087192; 727967299; 85709466; 945369700; 315852572; 511331192; 35468631; -1; 17690178; 526324780; 496574736; 206378071; -1; 884550385; 916279429; 540584680; -1; 649516805; 974643263; 250627704; 373425137; 397840838; 627244491; 258379686; 132675996; 226237021; -1; 367631496; 178861128; 735331506; 197631858; 102114581; 345043841; 960872432; -1; 592068436; 607396352; 168029059; 152750327; 538084267; -1; 808277084; -1; 534698971; 741133623; 31564835; 43985803; -1; 142147800; -1; -1; 685854896; 771425808; 120411254; -1; 291728337; -1; 918682205; 220777904; 336393387; 732890121; -1; -1; -1; 314090091; 229843112; 322449552; 458981967; 520875391; 551801844; 860141908; 36762477; 172735484; 785992840; -1; 325347568; -1; -1; 404650672; 53632591; -1; 723453163; -1; -1; 369458208; 241075081; -1; 330655795; -1; 977123676; 314849427; -1; 62447254; 815841242; 134503315; 405116751; 842167889; 278617777; 584019694; -1; -1; -1; 202064903; 303130847; 268325520; 354667247; 439197507; -1; 975573315; 89229781; 684091039; 168100534; 169503693; 532423332; 489667763; 872809888; -1; 709897721; 145186901; 253159925; 827926370; -1; -1; 811071446; -1; 82523223; -1; 351791320; 246268144; 307004630; 256820502; -1; 12622709; 714410565; -1; -1; 295263232; 880591802; 618349198; 414536959; -1; -1; 1702316; -1; 435246257; -1; 330217333; 43694268; -1; -1; 135164540; 719439085; -1; 567809082; 317967368; 626099379; 968515090; 724709638; 389162381; 600920886; 470948962; 333390964; -1; 481719716; -1; -1; 896736455; 831926865; 639352481; 992732875; -1; 829621699; -1; 951188171; -1; 628993103; -1; 266294473; -1; -1; 565797211; 339360424; -1; 623159343; 365777815; 83885086; 157989791; -1; 988512938; 576922567; 292485421; -1; -1; 712236642; 34283088; 961358347; 948402665; -1; -1; 160671985; 711721828; 86653288; 939037658; -1; -1; -1; -1; 957438766; 537174837; -1; 585180953; 294531062; 628738587; 805458126; -1; 716061445; 544242982; 503905467; 920471197; 782247169; -1; -1; 440759385; -1; 289064574; 998440482; 886462396; 323574546; 55694486; 640562348; -1; -1; 963150990; 136110905; 636354153; 88455334; -1; 125653737; 560710736; 399257655; 25900834; 844507623; -1; 3652555; 593285212; 126799909; -1; 764009111; 798380433; 419701503; 682864391; 840166383; 6181006; 285504417; -1; 332910391; -1; 289806635; 506461485; 804492138; 405436561; 306012930; -1; 324735874; -1; 770149645; -1; -1; -1; 83234946; -1; 493707205; 985059489; 247763509; 706765166; 424656398; 556532568; 219166532; 134279358; -1; 115709762; 635023067; 22230137; 156920636; 815807669; 240799369; -1; 370819600; -1; 27917347; 626678195; -1; -1; 996439910; -1; 542022868; -1; -1; 845810312; 992865717; -1; 746079386; 699464250; -1; 387225431; 331718115; -1; 184538101; 701435530; 572588301; 485404520; 737911319; 579975760; 799813818; 977933409; -1; 661499950; 472636885; 876714846; 782313982; -1; 96694576; 269822573; 407622107; 490302807; 875843090; 454987983; 537111289; 244799038; 87356474; 844990037; -1; 23933488; 985442513; 546726825; 337665949; 975818031; 902270532; 689480248; 26657426; -1; 748246331; 123060077; -1; 590718435; 168189160; 718435050; -1; 474078972; -1; 829361909; 38455096; -1; 121705474; 560634552; 56538853; 285227583; 838453085; -1; -1; 945847257; 63986741; -1; 177028887; 536698048; 42169341; 347250415; 883817683; -1; -1; -1; 784699839; 51392798; 971735857; -1; 839803297; 478541338; 346430882; 713215416; 440800273; 390120769; 203049188; 27966567; 41689255; 129335637; 810218099; -1; 290047259; -1; 635871919; 156536246; 712999619; 361964181; 897665131; -1; 461246597; -1; 430796686; 83945280; -1; 999526263; 47506996; 138439779; 31504357; 422906762; 233084651; 883137237; 882155204; 894825730; 934970665; 873092790; 825669922; 568587365; -1; 784397945; 501842463; 212079244; 12216914; -1; 222266896; 154605146; 421033446; 456576905; -1; 514207176; -1; 850834779; 666804778; 300441209; -1; -1; -1; 945116060; 495546070; 355438851; -1; 693206609; 848664564; 872908214; -1; 651250109; 644954949; 916783107; -1; 210331275; 556190593; 996354628; -1; -1; 437395776; 233748382; -1; -1; 876482933; -1; 12495643; -1; 244111066; 993170964; 642442697; 320018697; 159740220; 199917307; -1; 683599896; -1; 898253202; -1; 660461797; -1; 304238264; 495554466; -1; 630227114; 313453957; 578137604; -1; 600233578; -1; -1; -1; -1; 583732988; 448485814; 789700006; 36055532; 275732888; 589678110; -1; 221668810; -1; -1; 14609060; 203670721; -1; 622239583; 826902021; -1; 521236627; 725146842; 180856078; 472406135; 421960689; -1; 104867585; -1; 925125876; 526342088; 737659854; 518353725; 353623744; -1; -1; 900114806; 546679986; 709071251; 46902647; 711251500; 584258845; 845418222; 295896180; -1; 635868098; 719421028; 952262608; -1; -1; -1; 590312025; 566485678; -1; 366698879; -1; 421464100; -1; 828397931; 820408198; -1; 701009785; 717767596; 654789102; 941539947; 160572488; -1; 992062477; 835236792; 487002208; 143167209; 713845928; 672337122; 326742639; -1; 116564543; -1; -1; -1; 37714591; -1; -1; 409281050; -1; -1; 718484775; 841315542; 63117149; -1; 389918104; -1; 341407215; 428564786; 954942762; -1; -1; 412821238; 542360834; -1; 884991300; 23126101; -1; 628085974; -1; 610244032; 539531073; 605695901; 234382846; -1; 471107284; 128620033; 255917261; 523214767; 875794784; 571073668; 864667762; 27355833; 337426910; 278073951; 397578890; 255195294; 446469646; 338294262; 702987945; 388260008; -1; -1; 983635777; 986904858; -1; 588393337; 841084487; -1; 579025520; -1; 63067022; 61316945; 423144341; 88049822; 4174618; -1; 180410266; -1; 906895010; 307015779; -1; 479670836; -1; 765384876; 937712593; 467811643; -1; 13856184; 723418985; -1; 897650652; 735211679; 184728859; -1; -1; -1; 941934829; 643561737; -1; 767582673; -1; 101010764; 473370167; 935021649; 11143725; 997073179; -1; 280451678; 899567693; -1; -1; 142455404; 198974374; 262630382; 770337364; 266890190; -1; -1; -1; -1; 300775878; -1; -1; 145076065; 420560803; -1; -1; -1; 783830528; 872402217; -1; -1; 596022030; 406832314; 9250330; 28105521; 87681165; 642785009; 520524526; -1; 743010660; 416148785; -1; 323908259; -1; 162415910; 677745557; 491322022; 115090637; 893376992; 566874710; 355005514; 667361690; 431085041; 719613594; 409043766; 512598665; 714612511; 579976409; 420010145; -1; 291079142; -1; 390360494; 394429047; -1; -1; 805085006; 502722934; 182027152; -1; -1; -1; 412316393; 308451695; 986127385; 925139191; 744762193; 110292152; -1; -1; 850745151; 565448688; 99343592; -1; 910005955; 109924361; 620107386; 267113236; 38700333; 532108631; 850234736; -1; 225359365; -1; 526766115; 150818519; -1; -1; 115044393; 951944110; 988008817; 702323746; 510205319; -1; 948167110; 876072933; -1; 130949938; 599887022; 437614899; 744315390; 667301788; 217495919; 9527855; -1; -1; -1; 465639262; -1; -1; -1; -1; 809885916; 700173188; -1; 545915083; -1; -1; -1; 488405773; 26929401; 27685395; 220422866; 529248703; 743008340; -1; 88365410; 395741763; 689281314; -1; 653539249; -1; 96160079; 463593509; 171743248; 754664046; 958501315; -1; 499519021; 821316344; 422123322; 693491161; 395285300; 175269505; 754331184; -1; 796018575; -1; 43564843; 169884603; -1; -1; 283603076; -1; 617407973; -1; -1; 671636013; 621064513; 143654688; 840028562; 940043199; 479119330; -1; 587393903; 300985895; -1; 704932406; 561120712; -1; -1; 244279443; -1; 93515340; 625927164; -1; 663970683; 762932423; 762701759; 488014268; 790691593; 77342952; 289241702; -1; -1; 955953787; 870155929; 518076648; -1; 414087806; 679409111; 346308082; 923471530; 716729349; -1; -1; 779756280; 81942804; 244736161; 991802168; 168382303; 508748879; 943255861; 944667305; 996507534; -1; -1; 528296086; -1; 237631855; 547849035; 312317504; 78889166; 995792720; 511425388; 218366867; 514389790; 658338888; -1; 74436130; 439337031; 497837333; -1; 946339167; 606377813; 78782882; -1; 470632054; 355660928; 289220673; 46790815; 891343157; -1; 376050295; -1; -1; 345205322; 990689768; 475282189; 53927493; 502712570; 20071027; -1; 307903444; 795955178; 929374431; -1; -1; -1; 133762780; 387962674; -1; 97229870; 204454886; -1; -1; -1; 673878157; 292109351; 267223374; 863920282; 450060870; 397600133; -1; 55624628; 145143715; 595172931; 88685331; -1; 124217890; 436534837; -1; 939544141; 538268010; 703342296; 529591095; 411069369; -1; -1; 6178979; -1; 708197019; 10893656; 883882957; 786754598; 371307262; 7380401; 661000916; -1; 701213401; -1; -1; 810612544; 549207147; 78162252; 106815910; -1; 298389004; -1; -1; -1; 106401392; 902781848; 315166787; 991222534; 265392067; 934974267; 585617556; -1; -1; -1; -1; 238757288; -1; 747963542; -1; 902063827; 484420335; 475920693; -1; 289764541; 243897783; 202315179; 181741594; 794619476; 608298276; 983527167; -1; 884472891; -1; 948290008; 838608159; 393986146; 969298850; -1; 314611844; -1; 321649088; -1; 678268538; -1; -1; 223051961; -1; 428356731; 347513141; 992527907; 535535117; 969100075; -1; 572205968; 273067567; -1; -1; 841661358; 993709094; 771673834; 104023702; 484102469; 1933901; 371210595; 102430204; 145741676; -1; -1; 830753889; 136790907; 269583748; 285189870; 560883602; -1; -1; -1; 978286519; 406617574; 239652833; 154704546; -1; 18081287; 288908459; 626513076; 569770730; 715788854; 470610688; 347848917; 864928354; 295227539; 27296018; 166073137; -1; 14034719; 727141430; 108967752; 31319043; 657420323; 957818346; 725252745; 889456219; -1; -1; 256655506; -1; 562562233; -1; 532401928; -1; -1; 336636350; -1; -1; 136331587; 349324749; 363547829; 408122987; -1; 343323981; -1; 998686578; 635630645; 846874932; 297146275; 818819687; 344070615; -1; 468348750; 258593015; 752561588; -1; 132866572; 252147191; -1; 365022270; -1; 743042196; 364653842; 39823590; -1; 215550820; -1; 204499329; 183561416; -1; 657377035; -1; 82930672; 457221405; -1; -1; 943500226; 596292629; 26740417; -1; -1; 394961548; 912989707; 862582760; -1; 169556065; -1; 911875959; -1; 598790906; 583828777; -1; -1; 131655144; 586601032; -1; 328071972; -1; 372555040; -1; 81937139; -1; 203267951; 40413592; 405277523; -1; 358741551; 567113889; 212054898; 692441203; 753092347; -1; -1; -1; 186488925; 46091079; 358166433; 720077539; 680954536; 886331742; -1; -1; 432639457; 661582224; -1; 395292746; 802452929; 625980149; 312368277; 361375214; 957912481; -1; 5586301; 897122750; 288072432; 760384339; 673641495; 573523525; 498022064; 316021345; 996321362; 624064695; 320344507; 588884249; 564007549; 522500771; 71987404; 33741205; 153531120; -1; 953748351; 626678013; -1; 176611006; -1; 508777179; -1; 772061047; 68680132; 92109810; 993262010; 916875312; 494719569; 949115453; 27273213; 945018581; 399010174; 896381610; 618238827; 702851428; 242968893; -1; -1; 190243431; -1; 627804296; 662718738; 389050200; 629989686; 311020488; 135766728; 204234409; 510562495; 136249997; 309903639; -1; -1; 460151416; 475574657; 865030150; -1; -1; 264248413; -1; 454592115; 675434628; 737296281; -1; 460984609; 259367862; -1; 30672680; 707866378; 351660616; 459224043; -1; 767577822; -1; -1; 735068153; 423400993; 318142743; 60460438; 886069973; 148191231; 622743571; -1; 301246055; -1; -1; 894114188; 958641739; 396225161; 299610254; 305030208; 403474438; 302428544; 441005203; 537695120; 763162587; 581707246; 196586806; 944570137; 574562708; 12196311; 442637738; -1; 380740399; 1814343; -1; 503723494; 853498617; 997516329; 214453452; 860501648; -1; -1; 497670774; -1; -1; 460384159; 395929370; 695703391; 849152849; -1; -1; -1; 777998074; 239922255; -1; -1; -1; 59840651; 734285717; 561327435; -1; 221783941; -1; -1; 215595887; -1; 497704721; -1; 290261049; 536512971; -1; 629502806; 169180081; 303136176; 737707679; 819656879; 584518591; -1; -1; -1; 436476237; 499642046; 924952648; 258087754; -1; 221881724; 541895340; -1; 427630679; 756322097; -1; -1; 321476316; -1; 54539636; -1; 164193613; 581228195; 215130974; 910736768; 894285; 178451150; 869183368; 34978230; 295979553; -1; 943455740; -1; 82064975; 896951311; 301833247; 264948589; 889642242; 958879420; 562057293; -1; 684999346; 168113968; 23785003; 79996872; 223265046; 470292150; 216899819; -1; 510361426; 949199017; -1; 592406526; 290538491; 604381924; 340217494; 837734577; 179720264; -1; 85256776; 430271842; 881645523; 114077804; 219058797; 648653349; 447546915; 541815673; 395151407; 907629113; 47871049; 775161110; 570758713; 342068878; 258504714; 632268928; -1; 806095121; 939410090; -1; -1; 5816102; 524354430; 723921543; -1; 336237683; 97249924; 634750325; 104891963; -1; 639088372; -1; -1; -1; -1; -1; 982238538; -1; -1; 878501660; 467369857; 706452466; 955078641; -1; 309840708; -1; 623141544; 905829582; 582251176; 804102793; 466417076; -1; 111620356; 960428989; 239051141; 114592247; -1; -1; -1; 678502272; -1; 617935737; 696813084; 261206575; -1; 212635694; 656306980; 995114600; 792364134; 292999181; 333505313; -1; 272574754; -1; 375006815; -1; -1; 650568914; 323042731; -1; -1; 169487416; -1; 166023265; -1; 595953310; -1; 439711442; 655910528; 26823257; -1; 495963819; 999130374; 698644880; 576520903; -1; 924356654; 181159763; 928067473; 760942167; -1; 442855580; 279028616; 60111345; 834895691; -1; -1; -1; 347798757; -1; -1; -1; 721035971; 792910480; 822355897; 987950404; -1; 6165710; 140883374; 431302050; 519534449; 469744098; 682957274; 33448369; 442861222; 540073819; 367091434; 917114941; -1; 620032834; -1; 102952309; 514983568; 502700551; -1; 984031477; 700493578; -1; 175593766; 275504027; 251893093; 451606435; 972185579; 254629781; 978820985; 972429486; 487082286; -1; -1; 833202518; 355334183; 588249553; 951076426; 225715866; 348981309; 630234583; 951799089; 506954907; 608998690; 108111591; 329453527; 78386477; 283288279; -1; 332356645; -1; 83563828; -1; 930081978; 789472554; 822948373; -1; 376710207; -1; 850875734; -1; 998619530; -1; 609079028; 386057494; 678922720; 108199480; 646280394; 400809743; 724274265; 197471255; 992071843; 824921887; 33199603; 318339061; -1; 663975598; 559678595; -1; 641282194; -1; -1; 167501613; 432154190; 57454869; -1; 444116831; 25159975; 645605838; 78322656; 791539363; 577503791; 150706928; 616953373; 185170872; 117906337; 743474337; -1; -1; 397695475; 532592710; 914197492; -1; -1; 659334215; -1; 987375117; 236511695; 972700498; 294898141; 581743081; -1; 334232785; 856191899; 814803690; 41139226; 195993716; 748187307; 326269299; 458190335; 808236365; 711976094; -1; 218494375; -1; -1; -1; 520185924; -1; 247458037; 696919641; 646682539; 773684711; 613701219; 436847541; 936169970; -1; 890634135; 629205163; 949538109; -1; 596692878; 49151294; 429231591; 698556509; -1; 330178707; 256168198; -1; 363821003; 285810492; -1; 177388460; 557441186; -1; 577632559; 824970994; 195067790; 681062051; 814603322; 668468819; 335502836; 908548218; 59603985; 464288460; 847646694; 411444320; -1; -1; 320835876; 779066089; -1; 917984937; 7744707; -1; 787426397; -1; 70471248; 699040859; 530771913; -1; 409201388; 393790675; -1; 134104091; 901042566; -1; 739350444; 402742901; 149622946; 433949852; 90473125; -1; 449738958; -1; 862148775; -1; -1; 817219661; 258170562; 916127584; 797108172; -1; -1; 492975434; -1; 926046033; -1; -1; -1; 131751636; 334933950; -1; 489721365; 287879751; -1; 480139281; -1; -1; 198738230; 556977764; 264997092; -1; -1; 958890672; -1; -1; 207601958; 216758512; -1; 93572955; 62573199; 500093185; 326043432; 307829410; -1; -1; 419389626; 820520174; 748528703; 858157660; -1; 762913512; 847121264; 916547097; 605624291; 881729383; 190196105; -1; -1; 756700947; 225635079; 549456023; -1; 509938723; 782679051; 551115944; 738661360; 809466701; 44138647; 324752798; -1; 32667334; 221249485; -1; 894665133; 51017289; -1; 323969237; 683318226; 651173376; 217596527; 64329973; 791909477; 664457824; 468718121; 890097280; 843128072; 636693851; -1; 3784774; 432832568; -1; -1; -1; -1; 834066327; -1; -1; 153668676; -1; -1; -1; 594783480; -1; -1; -1; 251517460; 979375491; 142801483; 60465797; 931329543; 910211304; 245487103; -1; -1; 854659094; 693500714; 145749851; -1; -1; 327314345; -1; 213523634; 806920351; -1; 791534269; 261650284; 346540448; -1; 891866940; -1; 684477365; -1; -1; 640736308; -1; 146874095; -1; 135657931; 701509597; 542816777; 836325613; 19240970; 609039348; -1; -1; 165804071; 4630887; 784996271; 800072776; 194964676; 446384526; 367709745; 244115355; -1; 186061319; 264377893; -1; 843662632; 97098224; 281554921; 678303548; 689723002; 140244898; -1; -1; -1; 803935018; -1; 832635875; 383902250; 473225900; -1; 969467627; 135419542; 319237419; 223187136; -1; -1; 46275788; 263640384; 796782339; -1; 336898598; 552741512; 445387927; -1; 190176960; -1; 444182777; 782093674; 949234970; 162295432; -1; 897763601; 431331527; 355273950; 335538572; 742235076; -1; 143078985; -1; 240549583; 637025358; 458098505; -1; 656650410; 184037669; -1; -1; -1; -1; 733786291; 206150971; -1; -1; 469519037; -1; 136897008; -1; 595758709; -1; -1; -1; 679683618; -1; -1; -1; 113881875; 192208787; 511209443; 814177628; 58907306; -1; 8288123; 425982320; -1; 533731564; 320894183; -1; 517622037; 651200240; 658499628; -1; 44963748; 931414775; 331376029; -1; 405639425; -1; -1; 308123931; 150658894; -1; 865950162; 863055419; -1; 34196769; 866374690; 184514401; 901182191; 984932400; -1; 129398076; 661709764; 549072342; 624471031; -1; -1; 336261521; -1; 459972961; -1; 581891986; -1; -1; 577536107; -1; -1; -1; -1; 539311850; 192918259; 799807809; 344273610; 525992147; 989921183; 424891904; 501589424; 977753659; 612518623; 532764681; 221211197; 590640706; 891406917; 986557885; 6018328; 660527164; -1; 856759322; 226854958; 519251425; 147634420; 696841200; 313026153; 261045193; -1; 993767201; 680755725; 42278248; -1; 143930080; 719895985; 614948787; 679903812; 776642547; 60581228; -1; -1; 140928361; 636274501; 244585072; 451640114; 903974197; -1; -1; 392701100; 594104035; -1; 919171941; 965013415; 93031449; 232249214; 251921243; -1; -1; 895380684; -1; 912626836; 213900860; -1; 429330838; 249460352; -1; 207982692; 167752260; 12828235; 643489323; -1; -1; 360532914; 333432475; 555099918; 530975824; 440840610; -1; -1; 655113924; -1; 100340030; 379373258; 239719125; 159360167; 268139141; -1; -1; 639374321; -1; -1; 87850921; -1; 508480536; -1; 262216679; -1; 862760016; 544989570; 393829741; -1; 824707467; 720300905; 728910790; -1; 421974532; 443977999; -1; 350878392; -1; 694052989; -1; 358841838; -1; 331364394; 884861581; -1; -1; 608915540; -1; 85797655; -1; 136198920; -1; 654141275; 731636410; -1; 603559668; 405755338; 605103419; 604243475; -1; 446159038; 708370825; -1; 293621877; 989673590; 884455792; 623815118; 75408133; 690645214; -1; 374902316; 419220337; 441204727; -1; -1; -1; 896132056; -1; 609600011; -1; -1; 459306406; 288338207; 972735981; 985794975; 628055421; -1; 249328037; -1; 878397406; 34810146; -1; 772868338; 59531783; 348533820; 890038252; -1; 135925459; 778896529; 776366925; 700703571; 285090588; -1; 282286357; -1; 815915019; 360478086; -1; -1; 104947405; 919632904; 350679729; 849949607; 404539202; -1; 364172224; -1; 572722558; 25739583; 473072163; 876202018; -1; -1; 217976267; 185363060; 138657687; -1; 749443576; 612037399; 851422240; 559608419; 347653699; 935643601; -1; 810648625; 221009201; 35827827; 268540361; 416206306; -1; -1; 92621432; -1; 752887146; 172486428; 872240185; 369169540; -1; 498891646; 635076345; 389975835; -1; 135687278; 638145909; 107993131; 854397807; -1; -1; -1; 343415857; 612225105; -1; 213333747; -1; 79005699; -1; 269586028; -1; 88773291; -1; 512641346; 322120248; -1; 247272251; 170891811; 588968701; -1; 151310026; 520376652; 949603033; 397943007; 622292501; 588554228; -1; 376828543; 302303833; 798852353; 290951089; -1; -1; 990144116; 264344645; 692582071; 139065739; 694149269; 964591026; -1; 747075174; 191934590; -1; 144344228; -1; 498956878; 359489560; 698538207; -1; 434678714; -1; 706431034; -1; 12701173; 996476850; 337714354; 264944398; -1; 371639229; -1; -1; -1; -1; -1; 451550995; 428696548; 849525444; 337278773; 831586114; 384044292; -1; 310777120; -1; 613107161; 452253026; 904803575; 786794177; 46213545; -1; 539856060; 627873733; -1; -1; -1; 607754374; 127189659; -1; 739467540; 418179708; 924884452; 649043133; 107977120; 514226746; 674171446; 51044512; 327800164; -1; -1; -1; 629293250; -1; 642788422; -1; -1; -1; 770747291; 840571676; -1; 912259832; 326220664; -1; 929893530; 319300818; -1; 822087830; -1; 755375909; 70136814; -1; 378516684; -1; 395990389; -1; -1; 30890876; -1; 883017695; 699797105; -1; 137408816; 241012191; 951800572; 460914813; 65299769; 944413555; 19838212; 658827120; -1; 34868912; 669734327; 30893601; 602042515; -1; 590836131; 185487208; 569048931; 902684906; 748761168; 608716484; 302676260; 536856025; -1; -1; 512264080; 169819749; -1; 241802497; 156103721; -1; 403906426; -1; 550514901; -1; -1; -1; 962738993; 716433594; 646663503; 498282736; 343207634; -1; 180887045; 626545771; -1; -1; -1; -1; 42987797; 590157827; 518630775; -1; 407439593; 599761113; 337165275; 181981127; 132622966; 23055502; 364735308; 391195277; -1; 713009469; -1; 866932265; 423421716; 375674729; -1; 421730021; 972465641; 485544312; -1; -1; 239006946; 510058768; 692258294; -1; 380119334; 824842945; 993641120; -1; 718455540; 138777568; 300254031; -1; 840274539; -1; 979006933; -1; -1; 782247136; -1; -1; -1; 589863178; 554025992; -1; 757424879; -1; 424794302; -1; 521034866; 670134237; 805061728; 93098332; 893324935; 439706861; 420588286; 414882582; -1; 378652068; 443683037; 396643472; 825419839; 692736897; 983135280; 368627024; 941592584; 489881373; 387322179; 549522272; 474307702; -1; 840008685; 645183487; 368098175; 109523381; 608873454; -1; 802805048; 780962828; 699039325; 172220477; 149281172; 107526715; 874437754; -1; -1; 939952880; 696760180; 953156363; 221819442; 537054426; 658450651; 6831614; 977089770; 989943224; 312006564; -1; 495517633; 801436000; 886869107; -1; -1; -1; -1; -1; -1; -1; -1; 620197547; -1; -1; -1; -1; -1; -1; 592222857; 574575731; 3284593; -1; 404695872; -1; 115552961; 229598475; 939504387; 50700543; -1; -1; -1; 457571670; 321651363; 301922612; 342446637; 36956763; 815564764; -1; 585316560; 476914125; -1; -1; -1; 534629711; 331649936; 869963545; 652276762; 969357027; 847088547; 778192354; -1; 892821815; 915195297; 505291380; -1; 575938765; 869926223; 114629631; 804614821; 668139126; -1; 929496112; 554890686; -1; 428645584; 855214939; 176921449; 929864217; 168538480; 277063359; -1; 389299077; -1; 103227551; 515043822; 929246348; 563667302; 908193014; 57970044; -1; 174791279; 106018809; 580948972; 86212678; 62876802; 239995633; 169112981; 49304621; -1; 334779041; -1; -1; 896121417; 44646183; 259607909; -1; 881383810; 424408660; 90310265; 3033787; 442573284; 648465240; -1; -1; 300212596; 752104564; 634549327; -1; 597175460; 352494002; 148407433; 825819183; 791852024; 455035626; 556627933; 749201071; -1; 637488794; 997404854; 728889624; 117466094; -1; -1; -1; 101648366; 478878907; -1; 621228231; -1; 962438224; 871811200; 635926121; -1; -1; 742045373; 845711778; -1; 345889490; -1; 983540873; -1; 902894816; 162580695; 579678040; -1; 674261711; -1; 112676416; -1; -1; 814354021; -1; -1; 983066543; 68762743; 441458282; 919467331; 931442540; -1; -1; 709872673; 492062070; 856581379; 582268758; 187837329; 183924924; 118474705; 36574303; 472551217; 810660319; 397807078; -1; 607454929; 784984013; 58762271; -1; 15343953; 217018502; -1; 954270666; 379420440; 401993830; -1; 361238534; 427633437; 794228545; -1; 734219497; 250709031; 232311190; 296930928; 278729247; 957675437; -1; -1; 42312966; 560544096; 788981268; 441489689; -1; 787973548; -1; -1; 659975407; 625028179; -1; -1; -1; -1; -1; -1; 459236417; 490088340; 940654716; 892807425; 166683546; 519903355; 432100438; 573284927; 819174478; 423284776; 735072253; 907224619; 114282915; 682311210; 96461972; 520130853; -1; -1; 373638471; 344032820; -1; 763817041; 917107731; 84151886; -1; -1; 680031276; -1; -1; 20857082; 482267888; 711576417; 257764137; 684733877; 980892655; 53310272; 346296370; 769572891; 330997823; -1; 307134485; 192613857; -1; -1; -1; 200587101; 481575793; -1; -1; 414204882; -1; -1; 540931208; 857786746; 455175013; 409935164; 629036215; 675681419; 652542981; 318350275; 410334345; -1; 669466002; 182090008; -1; -1; 623182773; 154953270; 274790999; -1; 803980634; -1; 181909190; 128746609; 128605603; 938927198; 785620437; -1; -1; 325266920; 854617395; -1; -1; 939411821; 71990063; -1; 871741153; -1; 445188453; 680679479; 821294087; -1; -1; 951086854; 648655303; 707259515; -1; 992895110; 824390159; 744686593; 22683527; 939867453; -1; 768603015; 400077525; 443918214; 204575361; -1; 636856676; 359601199; -1; 722522035; 167463547; -1; 385411000; -1; -1; 596935189; 481909526; -1; -1; 823532529; 817192510; 790178595; 255133633; -1; 677599657; 31984214; -1; 263346746; 503944181; 221830230; 955021936; 541032691; -1; 591253666; 699391364; -1; 908529191; -1; 658077424; -1; -1; 362836714; 479191536; -1; 968122729; 23459474; 812252560; 38849303; 748926731; -1; 891425578; 947546264; -1; 755616538; 503486110; 932188957; 311352601; 287991720; 562932333; 364440491; -1; 206864796; -1; -1; 139706794; 766519298; -1; 346759985; -1; 267960147; 16791594; 603881913; -1; 695615839; 515363481; 640116634; 394376819; -1; 56165632; 808582627; 612071451; 393458755; 175417829; -1; -1; 631289171; -1; 359606964; 155480702; 414937638; 767816474; 882528039; -1; -1; 115206495; -1; 705347816; -1; 339120507; 983386370; 477516889; 639634442; 665967011; 986767360; 538272825; 642431980; 558483807; 483368516; 645884996; 998959926; 95775503; 768033185; 976953089; 626087891; 868747452; 891035255; 792154866; 531089908; 866580421; 511535982; -1; 648109788; -1; 355929506; -1; -1; -1; 747661126; -1; -1; 850423914; 754517455; 819962100; 427576473; -1; 695359455; 377099516; 916979004; 793905169; -1; 392590757; 350098465; 417875000; 747159110; 756629661; 166100541; 966863500; 384030210; -1; 182166175; 829121257; 501546014; 477900468; 131149860; 150047897; 662936426; 378077332; 82301992; -1; 483943830; -1; 681044398; -1; 909548551; 355890372; 156991338; -1; 975610547; 286925091; 206474534; 306587732; -1; 949441414; 380745675; 371849902; 258957733; 803325640; 817479587; 286377672; 193240019; 111583199; -1; 254701155; 410120149; 16168484; 356209851; 597859807; 441550162; -1; 229125617; 900599391; -1; 303502436; 218306617; -1; 45784958; -1; 914308876; 916535530; 20752342; -1; 87712562; -1; 952895892; -1; 846395105; 551447196; 394348470; 23868736; -1; -1; 406597501; 995767873; -1; 292167334; 981507820; 345087007; 821283391; 104939061; 51674915; -1; 857156371; -1; 862524498; -1; -1; 379139624; 129980012; -1; 313925687; 24511827; 378260345; -1; 633755457; -1; 940226952; 921915022; -1; 346164839; 900452036; 909073456; -1; -1; 620044819; -1; -1; -1; 869879064; -1; 276425438; 623978994; -1; 616814760; -1; 636933739; -1; 168690020; 55559463; -1; 534340592; 92198369; 985026028; 537025483; 649390316; -1; 25792847; 6119332; 372009862; 61637113; 451876777; -1; 409955083; 781500314; 541798260; -1; 457547133; 414976862; -1; 894275259; 862855721; 62642510; 838462569; -1; 75254804; 653872775; -1; 792313514; 914033323; -1; 4367604; -1; -1; 768198417; 324499043; -1; -1; -1; -1; 591227494; -1; 101353835; 204553677; 603911622; 341348874; 662727046; 778543825; 185440768; 549868244; -1; 517384856; 456859419; 83516884; 867450400; 421843557; 979553780; -1; 220610257; 361656446; 181504155; 126878714; 218455880; 616734880; 241127356; 233724851; 632898031; 10725253; 721720898; 686998286; 926701566; -1; 866878864; -1; 236351282; -1; 947315073; 295682909; 663931326; 532880346; 777703716; 535955468; 221723851; 113372724; -1; 307426497; 856518122; 501309931; -1; -1; -1; -1; 377522159; -1; -1; 756907355; 567576826; -1; -1; 951443832; 505828840; 448754370; 369898649; 841959827; 537949315; 741479554; -1; -1; 532297806; 373152647; 190776758; 260422366; -1; -1; 271682137; -1; 440661526; 288457188; 846326116; 765289068; 148592429; 648594865; 253137220; 354300399; -1; 853616216; 755299424; 168756343; 72939223; 802928205; 640847831; 765605634; 221116514; 501990929; -1; -1; 722973550; 237436929; -1; -1; -1; -1; -1; 949316333; -1; -1; -1; 259325506; 626507211; 723674672; 799615440; 808840855; -1; 982139571; 756613961; -1; 997572825; 553870289; 402840644; 718593723; -1; -1; -1; 42161242; 237383807; 223401643; 66181093; 848119149; 284650396; 903755748; 185224008; 933555167; 791991799; 9033358; 964873845; -1; 186643774; -1; 654137611; 115233400; -1; 753773721; 315770786; 838013407; 760165807; 877212307; -1; 534181255; 924688923; -1; 175172116; 25139454; -1; -1; -1; 219661574; -1; 860603742; 157340224; -1; 790313994; -1; -1; 628788137; 311629760; 765824127; 669055691; 341939934; -1; 386496230; -1; -1; -1; 762807643; 407999807; -1; -1; -1; 358092921; 985495388; -1; 809990941; 907222152; 746333807; -1; 775461237; -1; 787486116; 125064930; 878849498; 443302543; -1; 15677815; 935167807; 477567074; 733388869; -1; -1; -1; 487682315; 773549886; -1; 734977819; 993890271; 463526964; -1; 837115411; 15502652; 572837168; 57007042; -1; -1; 807660622; 765290508; 323359729; -1; 487674924; 825832791; 976120116; 647661232; -1; 660416895; 904925394; 740455719; 18157888; 268190222; 207130659; 577777881; 944246136; 422511500; 733461256; -1; 585827108; -1; 486177521; 815459704; 134830506; 260895523; 538611928; 259705209; 663078592; 791177381; 758646521; 674488468; 774781600; 11475748; -1; 336017748; -1; 758664508; 861901209; 931873315; -1; 819307536; 825083932; 437772143; 464134609; 161218439; 901829874; 433342730; 829294758; -1; 357329801; 551518755; -1; -1; 159809090; -1; 173748678; -1; -1; 423182227; 511520084; 602887309; 448347899; 267050654; 313725171; 979584574; -1; 701012201; -1; 418987514; 351339703; 985211225; 923550454; 55500062; 754109942; 85130974; 379740044; 4734750; -1; 816066034; 645967865; 844913062; 479284879; 78203787; 821274251; 593387198; -1; 743560706; 557822139; 66308680; 774840185; 354418944; 502725378; -1; 221058921; 905012857; 481255033; 305202740; -1; 116160616; 420973097; 679234150; 675020152; -1; 476776776; 55153679; -1; 769171090; -1; 3314080; -1; -1; 362275196; -1; 935313659; 368650407; -1; 175460995; 201134861; -1; 734870814; 98260791; -1; -1; 821096425; 143685909; -1; 68373458; 770481928; 6503743; -1; -1; 750372025; 294897578; 229335457; 782858055; -1; -1; 678540753; 97464939; 97983835; 140363275; -1; 752255339; 388951422; 477178443; 992328106; -1; -1; 400401320; 927266201; -1; 495507929; 638118906; -1; 41635116; 41971403; 300916143; 663294846; -1; -1; 358999617; -1; -1; 886669065; 832412484; 18481974; 10112801; 809872178; 844084302; -1; 744421572; 174874028; 991546898; 60206185; 404553212; 475681207; 137286566; -1; -1; -1; 160239039; 205744613; -1; -1; -1; 740287596; -1; 595745235; 238579843; 91758533; 71247983; 650220629; 910508407; 828350715; -1; -1; 693379916; 265908522; 664558598; -1; 509068668; 998140612; 441240277; 133524503; -1; 373911875; -1; 695340619; 126460962; 31182349; -1; -1; 843169117; 388390521; 62377515; -1; 841146454; 209533300; 94403604; 536396090; 115331175; -1; 778195425; 848904597; 144504223; 284812400; 236318173; 926060812; 406207156; 178859788; 643048877; 605526984; 549316195; 699462881; 549185162; 4444961; 799229650; 750319690; -1; 583044283; 669348681; 886353543; 607786364; 451823499; 946068857; 703068001; 399406379; 577559342; 935702968; 270086885; -1; 222034999; 959481574; 883978773; 649781157; -1; 971049690; -1; 197214143; 715664241; 961785885; -1; 774551630; 291813520; 915898330; 47647696; 737485017; 217245550; -1; 886416719; 753118249; 929094460; 651867742; 460055544; 14401172; -1; -1; 106546008; 324444427; 758989116; 608269392; 781095195; 452546118; 518235825; 99467719; -1; 542972434; 747369442; -1; 560572962; 717271262; 135248473; 689498785; -1; -1; 851995131; 156569670; 263915128; -1; 150824986; 19403504; 526522690; 298776130; 480964392; 437526081; 843061012; 15061251; -1; 694484224; -1; 357529780; 127219991; 29672870; 921252682; 487827486; -1; -1; -1; 849509341; 981541141; 681060577; 597591523; -1; -1; -1; 601741258; 841876368; 214231669; -1; 837932973; -1; -1; 941525470; 222607652; -1; 831769012; -1; 56518829; 629840499; 411987963; 458340781; 620846627; 204931581; 312368725; -1; -1; 663470647; 355548923; 551907290; 385785272; -1; 356956357; 862466446; 875112916; 822467182; 323630872; 622988396; 660433894; -1; 147707086; 573740482; -1; 932896200; 475775725; -1; 606023832; 752099719; -1; 244752260; 95107579; -1; 506309166; -1; 844507081; -1; 419615176; 122419181; 406139018; -1; 36639017; -1; -1; 819972098; 137974211; 4114585; 800542050; 834318276; -1; 388990541; 370220522; 467123228; 379881087; 846347318; 771386872; 496396837; 188004037; -1; 865586740; -1; 538005381; 378834111; -1; 973750545; 429422654; 921967423; 425555312; 531643898; 585173681; -1; 563616336; 14014161; 560859260; -1; 451799843; 203781073; -1; 742624605; 973200093; 827127654; 70213033; 778012201; -1; 964440048; 398041993; -1; -1; 489420709; 985643799; -1; -1; -1; 866328405; 222136206; -1; 726095911; -1; 970107097; 456250904; -1; 954191691; 458674117; 462143302; -1; 494228654; 549129252; 338012888; 92143101; 374677620; 957695971; 412644427; 838765257; 435722383; 779536286; 828058630; 705354550; 534472039; 849141146; 80556938; 625298304; 607600315; 896128909; 243038959; 879284877; 158752580; -1; -1; -1; 269973312; 585381215; 1673561; -1; 250708345; 420200681; 579807411; 575231616; 346032506; 494886836; 892143758; 110786885; 87043840; 804727020; 455700185; -1; 526065019; -1; 762629304; -1; 433344643; 569566283; -1; 390413287; -1; 178807802; -1; -1; -1; 620567969; -1; -1; 89875956; -1; 570346845; 257153870; -1; -1; -1; 315729391; 595203938; 415960258; 95708785; -1; 563411679; -1; 386101769; 374095620; 604460204; 411298207; 367578574; -1; 460647920; 289466374; 229350011; 528843678; 189844988; 134007954; -1; -1; 412336582; -1; 353954437; 809496025; -1; 166045011; 219838342; 27212599; -1; -1; -1; 235824640; 367320039; -1; -1; 14912384; 766950619; 300990589; 974879436; 379558591; 580590674; 752059851; 983913683; -1; 175087152; 725750027; 482730151; 909057072; 211635086; 985448182; -1; 577399309; -1; 247961306; 456519011; 863554861; -1; 544032037; -1; -1; 827237564; -1; 73045966; 730593415; 602333600; 786614622; 544445567; -1; 752388975; 226078469; -1; 627490134; -1; -1; -1; -1; 132979221; 573126843; 163625426; -1; 668637199; 840847529; -1; -1; -1; 440148597; 589716292; 294922978; -1; 860657483; 117061541; 697148616; 238036356; 718706750; -1; 957830162; -1; 484892120; -1; 640735391; -1; 436506637; 752564497; -1; 838239563; -1; 947231837; 480813013; 899139042; -1; 447686924; 530186290; 857272764; -1; -1; 596341857; 194302295; 339972122; -1; 14768524; -1; 18216579; 683223289; -1; -1; 465737633; 897428197; 17000748; 126131465; 592385423; 855105249; 402069123; 768050880; 423208183; 659550050; 450368497; -1; 563310885; 907198993; 670710082; -1; 954087414; 152758359; 789879813; -1; 347525610; -1; -1; -1; 712095857; -1; 650734398; -1; 818508603; 639234712; 495481620; 185386348; -1; 143558783; 3574298; -1; -1; 724986720; -1; -1; 703687126; 984713350; 323511125; 887915422; -1; 479547152; 162480509; -1; 34470544; 392291144; -1; -1; 452709524; 55654880; 66536601; -1; 85231456; 501145322; 53983337; 983548270; 481033208; 930396254; -1; 309858915; -1; 508939699; 14412846; 437781370; -1; 469599458; -1; 567983832; -1; 750829934; -1; 67017731; -1; 256279643; 515045623; 482803133; -1; -1; -1; -1; 887964353; 661652252; 962071447; 359884735; 575893203; -1; 355939392; 858699854; 263574520; 986932835; -1; 706012548; 472489921; 347362627; 488441181; 341797546; -1; 451552573; 938482017; 137883953; -1; 469780251; 854161613; 670265069; -1; 340133672; -1; 954364194; 733655746; 416634811; 826944858; 791105188; 21294448; -1; -1; 902175811; -1; 818968798; 747579135; 760820188; -1; 829573938; 347725833; 850623298; 808841648; 650567482; -1; 748822848; 303550403; 27355703; 155226640; 189408915; -1; -1; 202083378; 645095494; 341401917; 986764672; 222815872; -1; 670514776; -1; -1; 707038791; 806202784; 728958647; 82369908; 586033335; -1; 416091118; 214832145; -1; 914117716; 27080040; -1; 472368618; 493358177; 517497847; 999693666; -1; 602154228; 575997462; 563682249; -1; 197197367; 240758691; -1; 813540066; 475333951; 793167136; 8625224; -1; 619247919; 541895124; 944062261; 178099501; 109603930; 115596047; 471032521; 636138644; -1; 230079430; 474487687; 61671737; 533237894; 229229205; -1; 446217425; -1; 344261650; 457748086; -1; 36194358; 540939225; -1; 355321588; 262196120; -1; 595509360; 119116623; 183640875; 714829013; -1; 789973730; 899162565; 457660295; -1; 656946733; -1; 586890016; 90546254; -1; 629267255; 893305800; 788407241; 202126020; 213798183; 22536150; 452576651; 650646769; -1; 651809936; -1; 544513147; -1; 791110512; 734078334; 376002130; -1; 921013123; -1; -1; 275859547; 200149733; 47021341; -1; 225361036; 601492831; 615873802; 116423305; 493966200; -1; -1; -1; 816830311; 557935232; -1; 460966049; -1; 555669911; 529090211; -1; 764271350; 966748589; -1; 403373495; 417789711; 102796397; 349329946; 442646306; -1; -1; -1; 538331139; -1; 342704587; 30847118; 689385004; 478235262; 932318868; 589066698; 228453906; 497244389; 668009683; 438089035; -1; 921712967; -1; -1; -1; 907016014; -1; 199766019; 149778234; 403575434; 214878763; -1; -1; 924997416; -1; 343948762; -1; 55501255; 26807542; -1; -1; 583137565; -1; -1; 510856124; 783869604; 520132473; 591199186; -1; 271297865; 313768486; 796317158; 242011745; 294415218; -1; 83587651; 254564888; 915191284; 24118936; 854717565; 186520862; -1; 996071598; 518156984; 407128347; -1; -1; -1; 725584937; -1; 547756950; 645466398; 736521298; -1; -1; -1; 82982967; 966771953; 162996801; 765943135; 523584147; -1; -1; 980841026; 30716067; 335245214; 790481611; -1; 114124227; -1; 840037741; 826913275; 87368029; -1; 211304785; -1; 136195547; 631461924; 656643932; 130150401; 327831428; 995642195; 551787795; 191418879; -1; 921397730; -1; 533350729; 241547207; 620784464; 972898079; 67245111; 334426176; -1; -1; -1; 649184924; 935551016; 962980644; 177442603; -1; -1; 407319602; 741355875; 105195971; 777107647; 717303919; 259476448; 197798859; -1; 783446129; -1; 847491528; 985287206; -1; -1; 263602065; 392816321; -1; 3185789; 212373230; 24362903; -1; 548207091; 891172617; 25218495; 70484855; -1; 427863266; 629650876; -1; 174732539; -1; 399373216; -1; 576688204; 744710791; -1; 144977274; 190180328; 290095304; 343384059; -1; 220984534; -1; -1; 659102384; 252278482; 985889287; 881415248; -1; 96890403; -1; 496042012; -1; -1; 251519956; 353598675; -1; 104982739; -1; 453631522; 659138486; 913514366; 78801985; -1; -1; -1; 915142404; 277760322; 695280824; 574238789; 102220724; 760769534; 182002150; 282462400; 465838572; -1; 657783753; 403784776; -1; 680185743; 739249179; 587965134; 845015345; 386728099; 29546114; -1; -1; 337128428; 363499153; -1; 805165718; 893209916; -1; -1; -1; 426383950; 544882967; 450579918; 232568932; -1; 816773193; 953586020; 715065808; 668244370; 225824965; 716744238; 591775896; -1; 845822378; -1; -1; 100735669; 939116202; 845916045; -1; 104848984; 1563913; -1; 350965205; -1; 352094932; -1; 765775909; 31692746; -1; -1; 614318436; 616798935; 366658150; 605788553; -1; 357904045; 711136038; 869908193; 343511300; -1; 24308717; 923480577; -1; 909773401; 440063100; 675895850; 296671214; 824583636; 174013308; 175617192; -1; 368237996; 656208382; -1; 24232200; 351364486; 970353143; 541850155; 363949610; -1; 673627392; 826061969; 251935511; 182641037; -1; 47692180; 425703488; 252638370; 981212142; 688296654; -1; 64894112; 107373806; 764244564; 445289448; -1; 856409236; 471211118; 429494234; 629015503; -1; -1; 327145798; 485468859; 905205649; 833990790; -1; 434216401; 673878371; -1; -1; 903990193; 649554507; -1; 245023522; 250218900; 17870237; -1; -1; 902220942; 131961401; -1; -1; 44178254; 667379413; 371433236; 105838922; 417289941; 939382413; 75237497; -1; -1; -1; 86450744; 436441343; 898702357; 111925585; 663691954; 348135056; -1; 718369625; 29142293; -1; -1; 873146400; -1; 902398711; -1; 995600; 599131027; -1; -1; 511685279; -1; 645421797; 677583856; 274491774; -1; 233780795; 715805445; 194440543; -1; -1; 493580774; -1; -1; -1; 670172298; 386306513; 951482291; 927537332; 488852229; 307744780; 45536974; -1; 227895133; -1; 799275274; -1; -1; 943873959; -1; -1; 588598222; 63757996; -1; -1; 522659812; 625047997; 87703560; -1; 67127169; 824803047; 746908993; 927904622; 612317587; 761043778; 878539815; -1; 502427943; -1; 296917565; -1; 829219785; -1; 682098670; 330625728; -1; 808316222; 997406047; -1; -1; 849113132; 308067867; 774425737; 863252387; 657064559; 395037037; 172189088; 666808297; 491104691; -1; 386453198; 249958922; 910470095; 353387724; 362685450; 547906501; -1; 885927886; 20454949; 86382917; 576597935; 167311011; -1; 804958588; -1; 220543675; 385136503; -1; -1; 617969920; 648793727; 989456939; -1; 712898307; 636885535; 202008777; -1; 586963634; 284283332; 389625229; 595886534; -1; 767915258; -1; 468075617; 221618976; -1; 702813882; 582048296; 596884203; -1; -1; -1; 603742495; -1; -1; 943339609; 346570636; 727090841; -1; -1; -1; 849501174; 454041977; 680448825; 602787143; 521766136; -1; 13763202; 246205395; 676405052; 446756762; -1; 493477374; 484917177; 630829759; 653718833; 314527245; 101418542; 842372163; -1; 817169586; 566978928; -1; 632366241; -1; -1; 404831141; 90214116; -1; -1; 654568569; 83448258; -1; 195310502; 632115125; 771920574; -1; 946979018; 451355773; -1; 779026233; -1; 241192092; 921449935; -1; 676938550; 347078490; 319097508; 826946966; 814517329; -1; 512161021; 53014825; 129743407; -1; 531431764; 676200053; -1; 415963280; -1; 737392656; 485246021; 285691194; -1; 659314063; 628687685; 384575761; -1; -1; 302752958; -1; -1; 802643823; -1; 174655187; 300680223; 618006886; -1; 813333291; -1; -1; 798733009; -1; -1; -1; 619252244; 406404890; 447180909; 157287266; 245304313; 418956027; 656138630; -1; 326978502; -1; 116993781; -1; 994666136; 952377590; 602900417; -1; 852419456; -1; 332157245; 631372502; 92660304; 664203466; -1; -1; -1; 889274220; -1; -1; 326982244; 732621001; 662160578; 43185254; 198844699; 607950748; 47950152; -1; 628189685; 535483011; 931489031; 189488817; 135256539; 775193598; -1; -1; -1; 78783675; 125075831; -1; 524579652; -1; 513177282; -1; -1; 677153653; 348836916; 856472767; 489500923; 251522520; 896706273; -1; -1; 16116557; 542179931; 424222001; 293115672; -1; 41309762; -1; -1; 412907213; 163202809; -1; -1; 96138200; 582880467; 830612725; -1; 811597614; 437172604; 38145465; -1; 192916107; -1; 915063731; 79199943; 365014997; 801097203; 670767549; 659296926; 125694557; -1; 258070882; -1; 267273117; 289079885; 769538650; -1; 57270459; 399725835; 687065748; 594568438; 70623290; 271364394; 813801577; 612050431; -1; 97870849; 870484971; 545944530; 893138491; -1; -1; 746715736; 928711910; 103800923; 782214787; 282764352; 247059838; -1; 934909515; 161388463; 172442899; -1; 518743372; -1; 775547709; 573448552; 915722987; 270157939; 679993994; -1; 580743399; 425718055; -1; -1; 421140689; -1; 252650051; -1; 709184197; 95133434; 826872815; 623825588; 188566728; 818911075; 684831147; -1; -1; 524030594; 119945583; 524444048; -1; -1; 582546442; -1; -1; 901116591; 787626195; 648066437; -1; -1; 617074557; 471049067; 285580114; -1; 954818363; 704676502; 56127195; 817018855; -1; 920952705; -1; 52543105; 360800864; 963537937; -1; 255078303; 720053817; 630393318; 3654052; 86938727; 111841515; 533601057; 945079016; 518642421; 879787118; 220713432; 987303846; 188660409; 943462758; -1; -1; 3539386; -1; 486523674; 239604778; -1; 83445197; 598101608; -1; 337021511; 671308546; -1; 731493019; -1; 327450846; 209103936; -1; -1; 840116561; 925727925; 322643268; -1; 139212154; 973068961; 903530308; 816958616; 940703262; 512844620; -1; 782211284; 567544389; -1; -1; 371379109; -1; -1; 759765055; 608542745; 375176095; 743095477; 335644395; 890059061; -1; 495049998; -1; 715646746; 750628165; -1; 569008085; -1; 729438558; 374211001; 138999691; 806253050; -1; 939140765; -1; -1; -1; -1; 372861253; 58781372; 125866428; 909041002; 754168104; 770603193; 783070867; 399195817; 681650165; -1; 479129155; 848152452; -1; 691500317; 327426741; -1; 948784717; 422361804; 825143318; -1; -1; 920208055; 164112740; 104528347; -1; 662452859; 36549470; -1; 324148747; 373968431; 269609041; -1; -1; 318612036; 818774196; 207644623; 345036179; -1; 793476665; 155124718; -1; -1; -1; 128151099; 712126586; 997887157; -1; 742176319; -1; 510375890; 118032555; 890172314; -1; 566369785; 144040062; 932865685; 580553297; 969783662; 653540685; 43701717; -1; 324088016; -1; 950279029; -1; 802822448; 20689898; -1; 766911232; 24750895; 121851307; 610464183; -1; 564728309; 597338075; 341143964; 239230611; -1; -1; -1; 481615216; 77639683; 361051306; 806156777; 23910822; 17464693; -1; -1; 625747906; 499641865; 430420862; -1; -1; 620546332; -1; 815007087; 929110348; -1; -1; 987045958; 186294322; -1; 66417087; 474668975; 455789052; -1; -1; -1; -1; -1; 529772738; 818638028; 401998995; 846772775; 700144308; -1; 687852458; 158021177; 113404508; 235352635; 168343360; 108805829; 978699967; 787971577; 191076548; 998990718; 967965293; 930430733; 830416776; 842725624; 855724688; 961667844; 257742420; -1; -1; 664903825; 310477825; -1; -1; 177676186; -1; 351435896; -1; -1; 680010617; 7297179; 910503562; 253866132; 833347195; 971440721; 256461759; 626165091; 218989891; 714973216; 576187260; -1; 10563856; 428901292; 80027054; -1; 677470697; -1; 606183823; 78189169; 494516786; -1; -1; 860538724; -1; 745858581; 480282527; -1; 534726140; 320145072; 841646402; -1; 89499086; -1; 972901746; 890639771; 117795975; -1; -1; 656806069; 744731199; -1; 836310874; 906543813; -1; 358787751; -1; 681627771; -1; -1; -1; -1; 883426604; 197964568; 622977290; 455569997; 672683504; 5163578; -1; 979006572; 503672458; 146053560; 131868943; -1; 533473004; 291106856; 467551812; 274122214; 933273328; 307109762; 494256841; 629914824; 560075242; 988136233; 221032052; -1; 253465719; 259676287; 811959954; 786069138; 809095989; 368000630; 883020945; 515398312; -1; 772848902; 668070017; -1; -1; 793307587; -1; 449730751; -1; 910239021; -1; 841549401; 819359407; 963377040; 135199900; 623578807; 372832279; 78231197; 734312327; 66396817; 986344664; 694016160; 94122481; 766486747; -1; 262369167; 818649748; 716497816; 892072910; 30062924; -1; 124066230; 786115813; 489248833; -1; -1; 291281958; 131361395; 111833385; 349738729; 968708604; 107454349; -1; 173019557; 857748302; -1; -1; -1; -1; 28575494; 838522651; 733327311; 48697533; 833703877; 915372528; 154958996; 786233380; 657695841; 969481841; 324812243; 182258321; 464460377; 293033909; 198189953; 688813214; 176264904; 242409201; 62261667; -1; 171028571; 751275166; 638672257; -1; -1; 492024891; 984737632; 155020223; 131173393; -1; 916943078; 132347032; -1; -1; 328030673; -1; 414028350; 331579644; -1; 232830685; -1; -1; 621211688; 123456173; 390740381; 988595206; 73861567; 962244241; -1; 462958246; 492705613; 275073674; -1; 381223075; 502060207; 471450517; 736147445; 446819846; 960289868; 570586699; -1; -1; 712417966; -1; 354606090; -1; -1; 354651307; 473302468; 422093604; 635719828; -1; 62916041; 284181378; 304647195; -1; 787946306; 881792763; -1; 118140588; 598227938; 70363564; 95500661; -1; 742175352; 287652985; 709043091; -1; 289940308; 429612602; 115372445; 868903752; 941701418; 341594657; 926845463; -1; -1; 916830706; -1; 513665769; 429557607; 105900199; 458447278; 598977474; 144552663; 922992907; 79461863; 931840239; -1; -1; 904161891; 546401713; 339495689; 279735428; 631672302; 473602988; 945528355; 984077885; -1; 587486059; 556005517; 755876738; 281026827; 892714720; 83159274; 674990795; 678975388; 652838505; 867412627; 808387722; 910502812; 870022298; 24095279; -1; 319020221; 343617686; 370926237; -1; 33871877; -1; 394039506; 325908185; 335379436; 41252788; -1; 935209621; -1; -1; 866956598; -1; -1; 899568374; 783688001; -1; 17263379; 926506460; -1; 662070162; 763655795; 660257331; 514042906; 833271074; -1; 763991350; -1; -1; 891578111; -1; -1; 336537814; -1; -1; -1; 478256910; -1; -1; 396742130; 70878139; -1; 843594949; 611589035; 695427181; 9159408; -1; 916425407; 273682342; 213004712; 993771355; 908125709; 96374849; 372447953; 706747157; 285699074; 534580653; -1; 410921750; -1; 456566384; -1; -1; 924107212; 340338947; -1; 592785292; 156515831; 274076268; 714842890; 61163498; 22962575; 143751638; 676926461; -1; 561134152; 59924208; 729808025; 833911727; 496639475; 210336995; -1; 792906807; -1; 224593448; -1; -1; -1; -1; 358456570; 641417543; -1; 989133247; -1; 660555027; 382471364; 477227513; 262683904; 913844700; -1; 885316544; -1; 286793546; -1; 691450800; 50118150; 68316135; 868797626; 570303262; 598575575; -1; -1; 959050803; -1; -1; 474460871; 747415623; -1; -1; -1; -1; 775108217; 954594104; 233006655; 664410013; -1; 234218385; 582952029; 351843570; -1; 969254881; -1; -1; 248705683; 827021918; 868423004; -1; 263452138; -1; 10736226; -1; -1; 49613215; 211511119; -1; 34522879; 128604960; 559270611; -1; 691064415; -1; 928712639; -1; 42513266; -1; 109907182; 382928697; 393401896; 812388892; -1; -1; 470887084; 726474505; 763389862; -1; -1; 818300501; 869612129; 666263766; 894468214; 254922965; 518836630; 147864951; 459783197; 408615074; 408074157; 78428522; 850306570; -1; 896152144; -1; 633604906; 207952478; -1; 758829471; 20685921; 9959264; 491996109; 755531405; 615695693; -1; 415677128; 2413399; 819683001; 583506795; 487861472; -1; 857037335; -1; 211123183; -1; 570853597; -1; 82462398; 275221396; 471314938; 254019308; 550429769; 861639582; -1; -1; 185972319; 498973335; 892125957; 776448205; 630908656; -1; 154373426; 173900269; 641968702; -1; 445952719; 961296967; 123754065; -1; 693215913; 598888286; -1; 326098477; 382093690; -1; -1; 498947187; 721647583; 465789089; 658310306; -1; 725787154; 335384625; -1; 271009245; 973646902; 982540647; -1; 145410365; 373186169; 146711721; 357422291; 300910172; 671355129; 970298596; -1; 673439000; 172972761; 438714676; 5535084; 126273163; 343067180; -1; -1; -1; -1; -1; -1; 551736638; -1; 727182178; 869387005; 465436718; 453397472; -1; 523765701; -1; -1; -1; 704416992; 778500039; 959337600; 59295493; 551199043; -1; 201960839; 602741446; -1; 482853450; -1; 135833718; -1; -1; 564920767; 426329885; -1; -1; 54217965; 550525099; 208619312; -1; -1; 226846553; 694214611; 808415427; 943282032; 847457320; 511889671; -1; 258611052; 76365151; -1; 954290054; 130703938; -1; 553018763; 120087387; -1; 729712047; 715348912; 198273927; -1; -1; 513713687; 937736097; 398452736; 901134343; -1; -1; -1; 99016133; 110475605; -1; 875692657; 777682126; -1; 301216006; 444907601; -1; 79108578; 811363302; 874594381; 582743372; -1; 364122249; 706720026; -1; -1; 280555104; -1; -1; -1; -1; 789693655; 398293569; -1; 344062470; -1; 314415876; -1; -1; 609774061; -1; 668375964; 72104698; -1; -1; 654074764; 446563181; 917719199; 293161631; 217256300; -1; 537649023; -1; 463026345; 454906506; 988113267; 768487035; 419212323; 485381256; 870947595; 19414656; -1; 904190455; 507403455; 324067624; -1; 661042151; 125699679; -1; 420818408; 851192508; 780629821; 479192362; 635128434; 79464689; 825401461; 407083969; 73758497; -1; 688276566; 577068584; -1; 180856990; 399573956; 631426380; -1; -1; 378894387; 407639068; -1; -1; 287806807; 617519453; -1; -1; -1; 480703170; -1; -1; 607625857; 591296355; 174838626; -1; 995586822; 575992773; 275116885; -1; 662368611; 479025280; 810579018; -1; -1; -1; 697641742; 902357206; 281626861; -1; 21807540; 993970753; 568625681; 408578587; 147965115; 70345648; 558106172; -1; -1; 81890950; -1; 591634969; 139647407; 568247243; -1; -1; 891023368; 161780028; -1; 209881067; -1; -1; 103160296; -1; 175312907; -1; 36592568; 986188671; 50492766; 496395286; -1; 240089523; -1; -1; 200470267; 28948863; 666731702; 95024255; 906066626; 283175969; 958502610; -1; 753633127; 133175244; 6130209; 394313124; 127189943; -1; -1; -1; 921866974; 815374129; 666543703; 118227211; -1; -1; -1; 816546626; 802071806; 617896955; -1; 391020514; 247276987; 827988513; -1; -1; 672068646; 522814259; 964734782; 906254820; -1; 672716825; 213472378; 833362538; 515536866; 75906980; -1; -1; 768945390; 14213831; -1; 638738481; 631720095; 937080076; 817529953; 744303592; 586668866; -1; -1; 847517087; -1; 142074984; 32573925; 807095569; -1; 226719911; 832554879; 799499460; -1; 467039820; -1; 644278113; 389060360; 197715317; 102765476; 341446195; 716034694; -1; 88675824; 256398207; 42492946; 452410684; -1; 216443294; -1; 412733881; 553654986; 35863234; -1; 930599368; -1; 610391401; 784696633; 687856295; 263144585; -1; 404197568; 896418949; 688685061; 371207310; 790308241; -1; 382078443; -1; 679738269; -1; 184587205; 806754967; 295882298; -1; 938784949; -1; 31702553; 641331823; 588657050; -1; 841331433; 414501986; -1; 114404114; 649898241; 734616366; -1; 349978886; 785802945; -1; 161756890; -1; -1; 620386713; 63660717; 540322212; 149297253; 618151697; 151275244; 637450344; 655299605; 139180604; -1; -1; -1; 545392306; 231933692; 711870592; 360237724; -1; 703717179; 464972924; 944472239; -1; 174179959; 762136910; 392175739; -1; 418543145; 934778468; 877736927; 241258167; -1; 517836612; -1; 935522627; 750260712; -1; 471990795; 847524062; 406310751; 182642139; 302068929; 531772527; 94531899; 349250979; 267109614; 62465327; 949598089; 116118368; 462020526; -1; -1; -1; 52296368; 460385128; 699815712; 487046270; 259398228; 634022460; -1; -1; 521536643; 479305295; 856158562; 358336490; 175520096; 13410992; 842355520; 439587676; -1; 675238982; 985799017; 881956690; -1; 224800569; 547699900; -1; 465982028; 236815573; 896627043; -1; -1; -1; 582487357; -1; 201993645; 912445785; -1; -1; 875611406; 203522439; -1; -1; 163231463; 297910357; 710690056; 759863971; 877306278; 313491608; -1; 493834876; 17877629; 32090329; 907157684; 229231232; -1; 879817376; 301462481; 173343766; 394490467; 323117685; -1; -1; 858206581; 391765235; -1; 598512739; 522059662; -1; 597828567; -1; 863530684; 874636338; -1; 66618912; -1; 901799562; 212028900; -1; 706273963; 959068801; 573415743; -1; 11161579; -1; -1; -1; -1; 799205838; 142639191; 853921191; -1; 489493563; 258649417; 308895465; -1; 619969639; -1; 817298549; 3823086; -1; 74145207; 850326565; 875401363; 629927273; 166845663; -1; 307206289; 80045252; 463152651; -1; -1; 435189989; -1; 433025289; -1; -1; 213068858; 802654238; 617021209; 620675887; 788022903; -1; 958003313; 625282910; -1; 413757068; 710253299; 192938441; -1; 962416594; -1; 738766351; 397889377; 975723641; 335532647; 984877764; -1; 227529672; 30565319; 657863317; 52500798; -1; 63362477; -1; 960836637; 726456950; 550058; 569066337; -1; -1; 865033127; -1; -1; 627673417; 861873969; -1; 40614969; -1; -1; -1; 389853429; -1; -1; 34527254; 470982370; 547333859; -1; 696568646; 80188229; 667807587; 860693703; 426332515; 770498756; 14274655; -1; 79519246; -1; 300884271; 381469161; 311184699; 330687788; 673508732; 909388074; 680582570; 85691677; 654435734; 566858328; -1; -1; 935227541; 112528705; 208192176; 15423039; 753059601; 864346288; 686495930; 59951192; 102756689; 898466460; -1; 813168548; 480389195; 792301183; 944753901; 734415018; -1; 242249451; 465750947; 186087362; -1; -1; -1; 177922173; 27689112; -1; 537456257; 525082440; 630558026; 640677688; 898680877; -1; -1; 603045860; 288058736; 814518183; 578389305; 300591333; 676715476; 813263766; 646882134; 343243631; 655043929; 300844956; 73409956; 406296355; -1; -1; 468566540; 302847297; 625528967; 85850427; 878631463; 273765798; 645086630; 476771633; 85845661; 968966696; -1; -1; 401081788; -1; 810522238; -1; -1; -1; 570736120; 347506051; 293370165; 558902783; 724783448; 387282575; 449475222; -1; 91373361; 516361775; -1; 280643534; -1; 8765513; 525512016; 360998523; 549961383; 255970717; 379946409; -1; -1; 664355251; 286094168; -1; -1; 593649335; -1; -1; 926987438; 785244470; 2128795; 158666258; -1; 616029541; 453791474; 51778586; 972121001; 616653379; 428754022; -1; -1; -1; -1; -1; -1; -1; -1; 835865871; 577169171; 572480372; 573494854; 173675336; -1; -1; 288638009; 813414341; 472113284; -1; 129993787; 197553796; 667013074; 323289395; 891212843; 448013357; -1; 593318780; 74091509; 951105421; 760370656; 235262297; 565391076; 552027661; 286369600; 733071096; -1; 140477689; -1; 839405388; -1; 714034299; -1; 258221439; 520599228; -1; 447893133; 1829793; 679529544; 928184808; -1; -1; -1; -1; 564678286; -1; 377812334; 307341953; 37797782; 227997377; 314843294; 254383722; 49037225; -1; 550556260; 767576017; 111210097; -1; 849678319; 752142106; 64846485; 466447567; -1; 591049476; 458765739; -1; -1; 457690602; 801209762; 834320275; 847664135; 659255175; 531427870; 78672199; -1; 282698339; 985080082; 953438956; 78466174; -1; 303524798; 784735533; -1; 411880048; 851109705; 321153236; 274642428; 396369656; 759860572; -1; 261782119; 673928651; 803993330; -1; 388191326; -1; 733411073; -1; 306581920; 296630888; -1; 975687661; -1; 488875455; 18018926; 875887286; 404690727; -1; 457677696; 749731792; -1; 760168231; -1; 151726021; -1; 448691084; 491795485; 771927671; -1; -1; 626651976; 243177443; -1; 647019986; 186925080; 504739666; 224894364; -1; 216103355; 2739388; 742236082; -1; -1; 562353760; -1; -1; 521809199; 561673512; 541222801; 683148022; -1; -1; 905343073; 181738365; 349371953; 878767660; -1; 492972567; 165888876; 562201760; 48667267; -1; 791122757; -1; 387683109; 914941931; 944547601; 384818330; 160479891; 910180218; 623973959; 956319773; -1; 509165872; 613833012; 101937103; 308609656; -1; 425967901; -1; -1; -1; 249747325; 133183098; 216462989; 878976219; 946922729; -1; -1; 867535214; -1; 239251151; -1; -1; 137667072; -1; 731211042; -1; -1; -1; -1; 984285077; -1; -1; 620034683; 691454389; -1; 899883047; -1; 679168261; 989560556; -1; 820911140; 90679719; 217685716; 395622501; 807568823; 846828443; 452841790; 321288719; 919100679; 126738515; 707894375; 355566796; -1; -1; -1; 160613219; -1; -1; -1; 515590045; 456645423; 148003688; -1; -1; 24238279; 715987819; 810294465; 717409663; 172234230; 28769709; -1; 344384641; 235051435; 708108759; 855263654; 1702054; 671688582; 88252003; 603564783; 339577225; 676852436; -1; -1; 227989544; 390050780; 115938050; -1; 469318635; -1; 539785107; -1; 964188119; 982882085; 976326626; 891775788; -1; 161510320; -1; -1; 472552034; -1; 630004983; 601248203; 379695783; 579156573; 119740677; 368927902; 339520897; 291366763; 642935180; 928239850; 807031871; 483080337; 746312563; 256286455; 615720354; 593303831; 192329279; -1; 201168747; 867859958; 347922951; 219990453; 907459487; 40065075; -1; -1; 947126711; 7245657; 869499359; 95826867; 21527368; -1; 389389869; 746056649; 763658998; 81169798; 143469442; 892033008; 545370349; -1; 496061789; 490321978; 238977953; 581471793; 827880791; -1; 83634167; 463104428; -1; -1; 896817493; 325976854; 422349204; -1; 739921314; 117553136; 387672482; 111548575; -1; 681285376; 721507229; 313884943; 222190559; 192734519; 315348047; 879059296; 990740397; -1; 139514018; 382610000; -1; 407145684; 451083450; 999868282; 670754213; 560588287; -1; 860047303; 924273781; 848584088; 996281311; 615782732; -1; -1; 523569792; -1; 728950378; 193029645; 814526683; 350959965; -1; 308722462; -1; 740828858; 202309679; -1; -1; -1; -1; 839472837; 934994203; 148450070; 753267936; 995244092; 741459967; 460212652; -1; 691526208; -1; -1; 418867060; -1; 224667662; 38901709; 889855551; 600326147; -1; 479850156; 822975716; 953663162; 140292830; -1; 831014844; 69203058; -1; 599794366; 894118721; 719931855; 976773487; 947562989; 454588986; 387864607; 956264378; -1; 532141977; 156698741; -1; 63408501; 293417146; -1; -1; 487016912; 282255741; 511875524; 195088890; 793484692; -1; 638998651; -1; 303263697; 572426851; 91466904; -1; 337882476; 272749289; 126154017; -1; 160437091; -1; 666988709; -1; 265034867; 576282380; 636213031; -1; 840066662; 773555612; 182056126; -1; -1; -1; -1; 695720425; 335267274; 563808976; 78715536; 631895882; 441019559; 48568352; -1; 6532281; 49720801; 898718135; 322454931; 253941925; 531473225; -1; 489368038; 501050854; 474597651; -1; 501987021; -1; 250202592; 697925998; 623615297; 23268058; 806702671; -1; 56210074; 348398042; 919872527; -1; 343868629; 210722721; -1; 749138383; -1; -1; 342763764; -1; 866132251; -1; 761088010; 714476463; 596193379; -1; 782859509; 138513883; 528492273; 630199387; 37259731; 20024161; 989699430; -1; 317652052; 737909164; 639333911; 872438231; 735832066; -1; 312134210; 647837369; -1; 646475565; 227904653; -1; 98765466; -1; 791916756; -1; 810252320; 416760543; 206357032; -1; 89741903; -1; 683815032; 33891884; 917249756; 149314168; 252028505; 572860547; 349585039; -1; -1; -1; -1; -1; 850815233; -1; 966608918; 939125301; 502122453; -1; 411823409; 647187791; 98521483; -1; -1; 622988555; 52874318; 780958178; 156927858; -1; -1; 22706328; 173391273; 172535502; 138715757; -1; 198190139; -1; 642855158; -1; 541228788; -1; -1; 151308692; 473570063; -1; -1; 517970553; -1; 211156204; -1; 341048161; 784293114; 325033600; 277744644; 92812850; 518616732; -1; -1; 854062482; 405023714; -1; 94185693; -1; 351301532; 382037780; 529067431; 427519790; 350186810; 765300494; 170364317; 112873816; 688056885; 9569532; 597299441; 454878695; -1; 678848011; 889151921; -1; 281092802; 844091599; -1; 219473522; 551998450; 855336292; 749117509; 842645520; 303706411; 330447439; 346319999; 193158848; 311145539; 322369963; 593689758; 71024638; 315592484; -1; 348284007; 965730952; 909259436; -1; -1; -1; -1; -1; 97546343; -1; 640218683; -1; 746582784; -1; 583769939; -1; 658498339; -1; 275360904; -1; 41509960; 54697533; 206718748; -1; -1; 101658253; 391003201; 163517001; 587860266; 201113042; 366572467; -1; 271659603; -1; 42175489; 986544307; 128251106; 960974893; 992699065; 197042595; 26272303; 999405263; -1; 92041435; 850151249; 405582899; 473122146; 171721987; -1; -1; 618040285; 652168065; -1; -1; 709567934; 200863654; 747426813; -1; 86426920; 842117047; 833563910; -1; 521437798; 639019033; -1; 281586834; 58484053; 919473841; 700082485; -1; 94290407; 243560457; 806070483; -1; 155117581; 850466099; 587796450; 351368429; 285933249; 314143327; 77871409; 318755827; -1; 297372146; 238653487; 716757786; 475973056; 78026097; 284680097; 898291460; 679516371; 45373612; 675341050; 256927401; -1; 941074365; 164300126; 420201052; 398953999; -1; -1; 877413800; 470106810; 723718870; -1; -1; 64804611; 63183201; 732713237; 723109991; -1; -1; 974834086; 252503183; 831231391; 60170048; -1; 772988313; 956066043; 617983896; 200550436; -1; 524247071; 526995019; 839786797; -1; 905177045; -1; 670061765; 442494963; -1; 972156092; 176617803; 466877343; 438750526; -1; 451706080; -1; 623008130; 598039067; -1; -1; -1; 31158828; 951390093; 234550411; -1; 529725199; 596951245; 252928736; -1; 255891155; 11680465; 47127618; -1; -1; 820041726; 604874895; 526173377; -1; 586322851; 983456142; 971817770; 103379439; -1; 804583127; -1; 420506565; 591996958; 105788516; 504371974; 337208717; -1; 495314257; 264084894; -1; 28917763; -1; 207644733; 494090911; 857126264; 242398922; 266407295; -1; 242791832; -1; 591406765; 275870299; 490425978; 361968103; 738152436; -1; 494517974; 203346343; -1; 105964460; 665770587; 61566037; -1; 298213945; 165113045; 790015568; 516820830; 746038284; 542395454; 44961404; 811505958; 902337959; -1; 89822259; 227283094; 379859725; -1; 209213120; 192621271; 270028855; -1; -1; 448815442; 837002845; 561951080; 295404037; 375914073; 824058145; -1; -1; -1; -1; 52411996; 978636709; 86222082; 701238758; 255507676; 103239796; 860554157; 2771544; -1; -1; -1; 910608193; -1; 848195624; -1; -1; 643290377; -1; -1; 649077272; -1; -1; 415404085; -1; 220682237; -1; -1; 498502268; 463976341; 138418544; -1; 149342100; 72059756; 482884422; 451138608; -1; -1; 597982347; 614963457; 733103993; 719721910; 771708504; 316235130; 312780802; -1; 523094324; 737228492; -1; -1; 760279091; 265341207; 495841278; 352619699; 594965654; 228539448; -1; -1; 995429623; 153335291; 155018410; 724281064; 607601617; -1; 236237739; 391248682; 360317643; -1; 472479889; 244249831; 36136394; 613329804; 105260986; -1; -1; 127606332; -1; 329240445; 468398909; -1; 480091875; -1; 850102968; 391535033; 131967126; -1; 856007174; 748526425; -1; -1; 347702281; 371731475; 943825552; 371965351; 640935363; -1; 354866969; -1; -1; 727490446; 837694291; 926777328; 334731747; 330593028; 314584948; 752434459; 115655810; 152327301; -1; 930387860; -1; 318866054; 752929272; 470427829; 431753961; 452903449; 653901006; 958802932; -1; 572726116; 189870646; 69576041; 350254725; 462803436; 744326090; -1; 633011240; 78477150; 468720329; 860864297; -1; 519112608; -1; 366081838; 778252664; 840105609; 482200849; -1; 182903359; 520784514; 752889767; 177885619; 88106798; 63842523; 165015236; 397019097; 974240021; 448691382; 666862449; 506941535; -1; 80269167; 875546693; 762846807; 355320541; 220375784; 458559991; 190603466; -1; -1; 642101292; 821616498; -1; 647157693; 478646710; -1; -1; 665537562; 235669342; 345056198; 429221264; 12876228; 150894834; 272325664; 695576548; 306164318; -1; 56142012; -1; -1; 798759345; -1; 180952552; 22977064; 825935826; 721398090; 166380501; 303969701; 177020610; 902434055; 685442240; 493891376; 179765928; -1; 32053442; -1; 288512212; 482364446; 755111576; 801424550; 879660574; -1; 401557202; 315693705; -1; 962914036; 166416349; 108150928; 504281139; 958670992; 573535557; 202546452; 962929025; 742941101; -1; 58065961; -1; 60082791; -1; 963185598; 206585090; 218821796; 437041123; 833473108; 923762878; 13570711; 389202594; 447776746; -1; 155648365; 693153034; 488016859; 496505707; 330869415; 49396675; 207221579; 530165158; -1; -1; 828021228; -1; 124113897; 96768502; 981787087; -1; 49361690; 114158358; 770172489; 570533374; 624560069; 110968502; -1; 944605025; 273843398; 580520040; 359702685; -1; -1; 200752485; -1; 736900254; 588410294; 824298711; 780093968; 172630078; 407490386; 280905172; 43827600; 757437383; -1; 648188511; 351017556; 913151030; 711228248; 65215129; -1; 698037669; 718914053; 657936292; 282087103; 118485359; 414863027; 564578620; 740656932; -1; 803865330; -1; -1; 295961927; -1; -1; 807469997; 855386379; 502401567; 272738915; -1; 145528994; -1; 356329107; 578468828; 488429805; 590172171; 212274894; 954701035; -1; 677384282; -1; 777705145; 439724614; 698348716; 90148113; 996476301; 427082068; 993035790; 831059008; 494088389; -1; 65822571; -1; 555243622; 624794276; 145367027; 407678607; 241150919; 144077981; -1; -1; 425572278; 19453882; 516598294; -1; -1; 135049071; 213300175; -1; -1; -1; 236115112; 448215200; 146772511; 548676442; 874990143; 922537574; 710610586; 752568386; 294105757; 486948220; -1; -1; -1; 162753545; -1; 814067541; -1; 906408675; 503664565; 293241580; 745856381; 592427081; 695496469; -1; 747536653; 606426435; 219618278; 538120529; 500247161; 359735889; 447687376; 374764402; 22166069; -1; 853456509; -1; 156142896; 203198929; -1; 509417462; -1; 805288276; 197980650; -1; 338533347; 737696620; 586700020; 477145088; 386783382; 359533397; 595854225; -1; 469761690; -1; 767135182; 566953600; 396970178; 249339594; 206627418; 752026635; 772640458; 640568424; 192087992; 622056274; -1; 345991036; 153591322; 490619014; 928079091; 59011106; 634018558; 280765844; -1; 901441915; 536362780; -1; 739041843; 121330606; 722390064; 526916341; 908408472; 221438150; 656190421; 97049442; 447801914; -1; 386615808; -1; 188589708; 910893391; 420174889; 551345101; 681582343; 590312754; 622338113; -1; 24086487; 142243607; 396610536; 996147627; -1; 147375673; -1; -1; 788746073; 347539086; -1; 634718825; 290398516; 975036328; -1; 668009035; 596669879; 743621199; -1; -1; 751651387; -1; -1; 800727211; -1; -1; 506904773; 38091053; 930626038; -1; -1; 695207219; 980710999; -1; 452321797; 468012737; 739289879; 976210829; -1; -1; 590500505; 217329419; 666321826; -1; 906193475; -1; 711929758; -1; 758364670; -1; -1; 495925000; -1; 235933473; -1; 701074031; -1; 106054354; 740518287; 170214739; 356767031; 610456665; 534006980; 295871239; 101624201; 787892635; 259058513; 679314379; 626192959; 679031374; 467668239; 38156135; 824526702; -1; 187549098; 539111161; 44401795; -1; 223746552; 412848370; 352931602; 472776957; 308289208; 163540486; 899840012; 180571946; 29210100; 229516423; 474842520; 874053793; 108165642; 612806137; -1; 823887223; 116393736; 71012871; -1; -1; 155648340; 490113937; 946467854; 133894209; -1; 166521980; 831676921; 198513275; 77641355; 973089362; -1; 270900680; 307563339; 180712858; 618190680; 415405378; -1; 738218517; 809992093; 296627886; 980681997; 146217823; 497743852; 465366668; 118242823; 478579237; -1; 761883038; 190981367; 248151044; -1; 908764649; 560517777; -1; 816911990; -1; -1; 398241920; 611390715; 656090883; 490965143; 510001296; -1; 153306533; 248101125; 287451236; 732156995; 351042519; 997530575; 925591167; 326541318; -1; 164571669; -1; 265761252; 840445185; -1; 966160106; 372595059; 876183818; 625291539; 986531057; -1; -1; 807751868; 91514285; 693661017; 109823599; -1; 65531684; 803265417; -1; 450310906; 817222222; -1; -1; 693098197; 48321389; -1; 120090125; 964055055; -1; -1; 776527064; -1; 620390759; 5683759; -1; 782924104; 505229266; 210868461; 581388103; 773655585; -1; 226816456; -1; 994520706; 166225987; 441306478; 373221027; -1; -1; 620337469; 141805262; -1; 577126473; -1; -1; -1; -1; 161885159; -1; 413607961; 327693750; -1; 400740257; -1; 475293284; 478337836; 930206477; 167037064; -1; 652485440; 496476076; 873834875; 623044471; -1; 237746461; 798022025; 699238372; -1; 760764909; 441157689; 945620494; -1; 97100501; 871971356; -1; 417901789; 533801821; -1; -1; -1; 251975025; -1; -1; -1; 691381165; -1; -1; 101115929; -1; 103719239; -1; 777553920; 881776593; 704343609; 607874360; 386612050; 656046933; 914137613; 952358161; 466382307; 436356850; 4455551; 681885410; 157929684; 208990940; 539199441; 185969529; 952313568; 492979226; 704491822; 449430409; 844034800; -1; 394439547; -1; -1; 722883762; 770373117; 185287229; -1; 568029465; 722054758; 292032876; 447300376; -1; -1; -1; 170108047; 292255561; -1; 649597928; 787865103; 74181817; 250145478; 130837085; 374919676; -1; 967952599; 14398901; 223211747; 702589705; 564148310; 488704292; -1; 884231954; 633780435; 179536688; 299596304; 188278184; -1; 767655815; 753903811; 868554730; 749966344; -1; 58941378; 918054506; 625303124; -1; -1; -1; -1; 292948612; 603307735; -1; 367733350; 450709587; -1; 935722141; 154649721; 291491519; -1; 339101159; -1; 200400615; 472434024; 544484562; 215596403; 878567591; 777667951; -1; 438169006; 463752767; -1; -1; 764108357; 790774765; 30576915; -1; 693770563; 168742209; 154208823; -1; -1; 212310676; -1; 997615022; 365982674; 237871916; 872802761; 829887892; 887213050; -1; 410188261; -1; 983545864; -1; 394180163; 254409724; -1; 767326310; -1; -1; 241659564; -1; 212649934; 185347022; -1; 951022792; 758831228; 401560597; 984904395; -1; 604750310; 259085204; 747222125; 562940522; 229042543; 322888708; 186687668; 603570266; 776314773; 63833197; -1; 632339816; 190696042; 292913255; 974575327; -1; 377260599; 477948810; 435553055; 495562391; 265992381; 399290268; 982981124; 53149664; 815822795; 456095531; -1; 475890220; -1; 832944029; 327333043; 861736050; 459702103; -1; -1; -1; 190245570; 63240047; 46781210; 898744560; 646507401; -1; 513104900; -1; 758578667; -1; 58846012; -1; 300014288; 52913186; -1; 903117378; -1; 952402594; 437269932; 256110358; 153787430; -1; -1; 394715807; -1; 899117255; -1; 173859726; 263932999; -1; 646495949; -1; 545481066; 30562154; 985659948; -1; 782423273; 253628549; -1; -1; -1; 842436859; 468644339; 235554897; 298353950; 323860760; 742577806; -1; -1; 820316113; -1; 986467206; 567321849; 555568697; 229920476; 374788994; 757188699; -1; 661181530; -1; 397858696; 182265489; 517892855; 485082431; 752412230; 488420931; -1; 721665644; 704669081; 647865279; 440063096; -1; 566461481; 135542574; -1; 532628981; 636313672; -1; -1; 426649715; 154270867; 86865836; 130494470; 184238899; 12540049; 403850379; 224982059; 486916751; -1; -1; 481103834; 940236906; 477967719; 595917427; 935966367; 275154248; 758579839; 548199489; 236092100; 638561410; -1; 675078306; 800968824; 480916932; 579038230; 379900248; 45166206; 195369983; -1; -1; 464163727; 443143545; 56104932; 756309853; 796371128; 561281667; 541358461; 276489860; 287025628; 79068860; 992117507; -1; -1; -1; 981488710; 793192954; 886934931; 965503341; 115536410; 360778672; 428820365; -1; 155317129; 36002737; 813831955; 276100196; -1; 672455911; 714887252; 809328688; 987261291; -1; 58287306; -1; 557330897; 366087712; 737882538; -1; 739854769; -1; 476022400; 129632622; 806295096; 65772130; 227677326; -1; 72104368; 884481817; -1; 660403603; 13332756; 169874430; 628609247; 819933884; 351355958; 976804824; 1913094; 607358172; 812871088; -1; 387843811; 672369687; 837320734; 828771776; -1; 42951090; 58933708; 283757526; -1; 762554198; 122726717; 479395752; 526217382; 862674591; 754940283; 130742130; 961646494; -1; 255507369; 277881028; 593678935; -1; -1; 486015428; -1; -1; 208914831; -1; 325367878; -1; 222667776; -1; -1; 153738496; 548964755; 681690707; -1; 144307238; -1; 958167303; 310531488; 196044283; 561056304; 610133661; 755887946; -1; -1; 774856178; -1; 774607201; 581819181; 367061918; 348692575; 837831218; -1; 33773070; 323721396; -1; 684149058; -1; 853181871; 428898768; 947702057; -1; 624558003; -1; 1535644; 238025782; -1; 265771584; 862835582; -1; 634580367; 699185061; -1; 419662429; 73825465; 84062617; 278604322; 376846576; -1; 218161421; 607676390; -1; 334774873; 6339033; -1; 665113974; 809044833; -1; -1; 49308752; 122929259; -1; 612471022; 883634156; 954414557; 289633480; -1; -1; 936569915; 709945779; 93923692; -1; 468816954; -1; 75356083; 783018269; 685682932; 703007545; 363691427; 777958501; 525812043; -1; -1; 715338623; 148713968; -1; 144185800; 63449106; 520137892; 919027597; -1; 775441161; -1; 221565985; 783355232; 913521170; 694095141; 618200987; 773975890; 894071055; 132956675; 287939580; -1; 865857416; 263511446; -1; -1; -1; 534121102; 697836166; 912836495; 305674383; -1; 528041729; 681120394; -1; 28634415; -1; -1; 430391102; 479628112; -1; -1; -1; 572124339; 773081413; 722564536; -1; 914987376; -1; 80997081; 160137489; 514969977; 550198177; 646143367; 878914079; 994554335; 655838055; 681629032; -1; 668529541; 220516789; 733172429; -1; -1; -1; -1; 682332516; 791110173; 879841827; -1; -1; 10691657; -1; -1; 710636803; 472461526; 599614164; 532829665; 8311166; 531521974; -1; 844073214; 59796993; 888837042; 808633834; -1; 559593995; 430722680; 803606285; 856953044; 672249644; 44687768; 35095659; -1; 216069349; 670962623; 470018854; 158805542; 104163860; 238869948; -1; 568417394; 527164242; 546991992; -1; 513622069; -1; 444021218; 48505218; 793239844; 291726548; 338080338; 57985811; -1; 746610633; 266961402; 199119291; 724946227; -1; 522197873; 74469051; -1; -1; 674465290; 589509197; -1; 858970737; 711951465; 496604744; 181289750; -1; 874920014; 486089322; 792703343; -1; -1; 294893078; 577980774; 560062218; 513133258; -1; -1; 379684850; -1; 910171153; -1; 737370892; -1; -1; -1; -1; -1; 470643038; 84506774; 13011219; -1; -1; 600142171; 147036684; 12753352; 391383991; 44048541; 795129444; -1; -1; -1; 599064629; 339580694; 505375115; -1; 68731601; 365956130; 485863210; 303774944; 591897153; 718546461; 68330986; 105981635; -1; 183971865; 235551103; 886891586; 88295079; -1; -1; -1; 707541106; 640871203; 948241710; -1; -1; 340413943; -1; -1; -1; 674029863; 952416284; -1; 837653307; 286522358; 972261745; 703305498; -1; -1; 160691810; 246290273; -1; 857155725; 941337195; 691366296; 669421782; 247453143; -1; 313422793; -1; 375889103; -1; 2798973; 906654723; -1; 168368590; 326498909; 941099286; 276034475; 243570883; 870996442; 559903824; -1; 373179651; 243680176; 496539541; -1; 210665937; 376728879; 498216782; -1; 319604562; -1; 997838067; 830346509; 44315940; 649075121; 703374220; 549969973; 919085720; 204446840; 211705133; 792341855; -1; 154063621; -1; 874111707; 28039144; 246472064; 717609822; 611048892; 194094061; 173438407; 809461632; 489371841; 387541540; -1; -1; 799992132; 260582095; 953922091; 994916245; 424645892; 727502364; 527449358; -1; 874233453; -1; 682271167; 85605127; 190993404; -1; 172353022; -1; 770337060; 471459864; 38069803; 589613169; 714084069; 34740298; 910755113; 815646416; 91839249; -1; -1; -1; 449405880; -1; -1; 308180086; -1; 450067264; -1; -1; 420792201; 84302209; -1; 539239274; -1; -1; 553945402; -1; 485464766; 663203999; 137609313; 776026306; 855171537; -1; 563643869; 531025319; -1; 338105980; 205179891; 838099516; 394864636; 834083460; 155982755; -1; 587470289; -1; 514519126; -1; 852490651; 97624728; 843779720; -1; 713115680; 570305367; 858028543; -1; -1; -1; -1; 424224951; 496584527; 253123460; -1; -1; 563575609; 86601518; -1; 461156924; 967191899; 472081117; 568705699; 924601014; 245753825; 935908852; -1; 436663871; 735990371; 501051817; -1; -1; 86454011; 422091212; 309255967; 100031935; -1; 62677839; 804518866; 37959984; 213432755; 617843507; 431687482; -1; 644036257; -1; 851629957; 899166620; 72736091; -1; 421837262; 868178236; 199462642; 573779845; 872581812; 528380459; -1; -1; 462647153; -1; -1; -1; 623771879; -1; -1; -1; 229599034; -1; 968899305; 76951064; -1; 779204872; -1; -1; 749939997; 290886260; -1; 175642543; -1; -1; 589682297; 190893074; 823542323; 340828576; 412760666; 499233315; 660123032; -1; -1; 946746923; 130074718; 270288224; -1; 602145683; 295362261; -1; -1; -1; -1; 412543489; 974261101; -1; 166766299; 458011427; 376667040; 583302955; 706955043; -1; 629558119; 810002863; -1; -1; 324600596; -1; 347372014; -1; 997997281; -1; 317974467; 26163449; -1; 848684479; -1; -1; -1; 796861837; -1; 304691534; -1; 490390538; -1; 731663090; -1; -1; 799273413; 591425968; 800554730; 985722353; 961424364; -1; 882168187; 106504994; -1; -1; -1; 440385665; 268307185; 598990831; -1; 560895759; -1; 663647023; -1; -1; 311642351; -1; 316629714; -1; 814240041; -1; 29638574; 820311352; 639665918; 26404480; 923119953; -1; 293366200; 780020054; 264611792; -1; 712100138; 535461708; 200019553; 810617933; 567535943; -1; -1; 319800892; 685853248; -1; 500776720; -1; 783654425; -1; 126966665; 236775409; 884769009; -1; 342779528; -1; -1; -1; -1; 463009791; 991674934; 217809154; -1; 615628135; 16583979; 475248411; -1; -1; 559690361; 757545396; -1; 231100053; 144741463; -1; 494285560; -1; 979359612; -1; 998867973; 674311201; -1; -1; -1; 662503728; 155468931; 354715025; -1; -1; 872597998; 826463529; -1; 871431255; -1; 144227085; -1; -1; 879069248; 999247175; -1; -1; 122372697; 449278826; -1; 585620999; 297120258; 741033382; 143298049; 939087371; 596548658; 821629872; 768919482; 826778122; 737718425; -1; 78823113; 505935583; 510027492; -1; 243254737; 468310332; 693379341; 347972871; 456335505; 810919262; 673038661; 278931274; -1; 781960776; 250708932; 967708672; -1; 229941038; 275744101; 896451336; -1; 798105140; 940035531; 550349909; -1; 719414191; -1; 318557072; -1; 102367652; 458398004; 206511021; -1; -1; -1; 774226372; 748466739; 368223013; -1; 148305144; -1; 363370009; 559282901; 841951585; -1; -1; 829615104; 622682760; 175980703; -1; 682235666; -1; -1; -1; 980284746; 394297102; -1; 395337618; 57620151; 304731218; -1; 227478439; 866889006; -1; 862862837; 805617539; 263035328; -1; -1; 885076152; 346003755; -1; 514952567; 277484262; 601997756; 457892342; 973504415; 467146562; 686515082; -1; -1; 156546632; 807381381; 759382368; 195704441; -1; 440467894; -1; 608073404; -1; 304894437; 108510272; -1; 358726030; 833076463; -1; 882987203; 765077534; 354776889; 620262879; -1; 875603990; -1; 550513657; -1; 830259667; 612846332; 841734949; 811825437; 813904687; 770286040; -1; -1; -1; 530814535; 418233939; -1; 691945210; 363238562; 455609549; 177020348; 45333924; 600813183; -1; -1; 348684158; 536347455; -1; 770735485; 986542709; -1; -1; 816811462; 875814800; -1; -1; -1; 172985519; 399735865; 568965186; 861739447; 486387278; -1; 685450731; -1; -1; -1; 808173542; -1; 102345444; -1; -1; 804849257; -1; 7892673; -1; 961496367; 140449522; 868607664; 607123391; -1; 16379988; -1; 130719012; 215545640; 572200945; 116747582; 231381240; -1; 124513993; 585242428; 397440512; 865414538; 594356386; 416106797; 377275273; -1; 888313382; 363587578; 641161717; 933161889; -1; 27087175; 459897195; 823416003; -1; 471662296; 575159459; 779159563; -1; -1; 827271867; -1; 371639999; 873424421; 643087381; 302454377; 760634570; 16492743; 402953608; 891493081; 356026416; -1; 453141365; 476630475; -1; -1; 622492018; -1; -1; 455849829; 653237126; 509549928; 32641303; -1; 657444594; -1; -1; -1; -1; 283494171; -1; 78795838; -1; 416179669; 627233733; -1; 346369469; -1; 733760931; -1; -1; 712182462; -1; 422714352; -1; 689432109; 852612184; 342035665; 860393890; 407712470; 90842698; 345861482; 184276619; -1; 515520378; 71600085; 354617489; -1; 512739665; 36777188; -1; 571504246; 780403424; 503321039; 637592873; -1; 256017937; -1; -1; 630316474; 624383535; 104750150; 856171428; -1; 471969554; 70052771; 58154114; 656988587; -1; -1; 532798128; -1; 963209528; 982683958; 678595365; 858023627; 736134861; -1; -1; 370969660; 695659340; 224906985; -1; 469533264; 269782307; -1; 450130515; 912008329; 693704790; 112689952; 327824577; 840784462; 821847911; 207139550; 514049152; -1; -1; 83323157; 319356903; -1; 385277583; 147646207; -1; -1; 271077596; -1; 402982566; 183009350; 704703302; 591293457; 182998797; 886344174; 678066083; 532316723; -1; 393474800; -1; -1; 470961623; 521435654; 378791816; 366953615; 138762002; 930122332; 456063106; -1; 21269422; -1; 221028919; 648426638; -1; 220807425; 605379871; 290191115; 213084132; 476476551; 735510835; 11874466; 506518944; -1; 823024738; 430500143; 989110570; 30853619; 315148986; 957978629; 796125571; 993577893; 954509855; -1; -1; 230432777; 57464564; 756320896; 928609622; 565715661; 557690485; 525866584; 638340634; 712018848; 245505621; -1; -1; 974380354; -1; -1; -1; -1; -1; 139484848; 782423523; -1; 258316652; -1; -1; 494292640; 699515773; 25895262; 405884222; 197760236; 651843766; 11027687; 230379003; -1; 476942170; 619531406; 416615271; 829584853; -1; 981002264; 853356222; 963615564; 198077674; -1; 540886468; -1; 205306919; -1; 173862850; -1; 446236125; 130635859; -1; 268924729; 912326328; 92269506; 228211609; 858545119; -1; 485126931; -1; 33215829; 141146267; 541453306; 472990926; 337290126; 136110244; -1; 147195019; 478977032; -1; -1; 66591675; -1; -1; 800535464; 386195826; 499528969; 817754406; 865319674; 518562113; -1; 319338510; 723803265; 724461891; -1; 859936270; 466683441; 418468014; -1; 507310860; 797998933; -1; 164698938; -1; -1; 284109648; 681175074; -1; -1; -1; 9945837; 125246499; 732124581; -1; 692895746; 531944869; -1; 708108478; 986881816; 688102184; 896922431; 662460047; 132650182; 106167079; 990731947; 22530656; 984751337; 917512011; 106559534; 313520738; 262046239; 792544332; -1; 77891669; 163265248; 833864306; -1; -1; 608967529; 255452910; -1; -1; 340338102; -1; 804037320; -1; -1; 635595778; -1; 258482705; 689316922; 270250005; -1; 532414091; 424287260; -1; 860267578; 524809078; 84825464; 212047018; 145905063; -1; 168313843; 79887248; 912826467; 473899771; 969768972; -1; 60660424; -1; 107712512; -1; 374762474; 691065536; -1; 717914344; 250414178; 25596731; 961841703; -1; 907084354; 168723952; 464536067; 641042184; 36774743; 792385168; -1; -1; 604406033; 364925792; 836555254; 462310390; 785964114; 829184643; 202819501; 185998539; 511927124; 231429764; 950435580; 626495810; -1; -1; 51075519; 335731441; -1; 486108298; -1; -1; 532096448; 11255946; -1; 872571419; 736375251; 664901495; 664427049; 968790483; 398000061; 248807095; 882464086; 12997624; -1; -1; 923745621; 222048195; 48230232; 944288168; 135780255; 653396839; -1; -1; -1; 580508631; 957567597; -1; 132551383; -1; 51690194; -1; 625767252; 496605783; 511078199; -1; 446675656; 27201212; 776616970; 81534487; -1; 22382713; -1; -1; 386678651; 95232247; 152648521; 132430381; -1; -1; 620983528; 825191801; -1; 318625927; 732629407; 242754867; 805080527; 682661576; 438540542; -1; 366309439; 39040640; 184054551; -1; 587233327; -1; 177042232; 618405636; -1; 953983151; 865030738; -1; 528283830; 260935557; 864966431; -1; 532488881; -1; 399762083; 481746873; 152956384; -1; 224950699; 552442246; -1; 569010605; 564367048; 607880376; 605969658; 943382288; 679672816; 262024968; 576416464; 804316823; 996185630; 431505364; 515088154; 572107120; -1; 75643024; 946427736; 446365718; 212063734; 881882282; 477818830; -1; -1; -1; 760526450; 677845659; 139400395; 585483967; 147231010; 252896605; 612364688; 574653000; 136910141; 195382496; 852679095; 495358033; 230074407; 572859188; 830634781; 666795725; 735748690; 615317418; 382911987; 820546474; 85859870; 294297153; -1; 102865598; -1; 673211214; -1; 935937853; -1; 567165958; 995801842; 170253938; 477754105; 450264607; -1; 681709337; 18810121; 733137826; 119350860; 982925166; 961108283; -1; 593228335; -1; 843391683; -1; 330469622; 360676246; 409059513; 319599441; 302444752; 508180909; 202329183; -1; -1; 878967424; 177842569; 533444450; -1; -1; -1; 631084845; 28265819; -1; -1; 960448465; -1; 348313616; 772008783; 681500286; 464401350; 460141641; 745018016; 891470163; -1; 361252866; 535508930; -1; 183214025; 89634265; -1; 273161679; -1; -1; 588831490; 833364669; 926240177; 250099331; 782730980; 67003401; 35433522; 518674988; 149362180; 502744419; -1; 349460640; 307164298; 498850145; -1; 84323632; 873159999; 407427242; 306717484; -1; 516432242; 868940553; 724066406; 427123999; 732068991; -1; -1; 234417633; 215881522; -1; 584486393; -1; 845003578; -1; -1; 520988200; -1; 994574790; 589232286; 156811458; 12106346; 514686849; 904211819; -1; 19750239; 505215218; 197633907; -1; 859024650; 113396347; 520391024; 590712357; -1; 858941782; -1; 816562450; 479373806; 456098083; -1; 791753919; 135869990; -1; -1; -1; 256665852; 485750204; 662727941; -1; 901139861; 276623533; -1; -1; -1; 572680617; 766386150; 412613027; 119513160; 90018412; -1; 297887293; 962305079; 714614051; 379424868; 45363783; 637616470; -1; -1; 942142225; 217608820; -1; 80876023; -1; -1; 692087891; 381636984; -1; -1; 322289000; -1; 699994467; 447291740; 108998193; 335960654; 790039499; 432433308; -1; 146439844; 767712490; 895569538; 371888384; 883469571; -1; 879255338; 113287280; 183802671; -1; -1; 500825027; 185915766; -1; 5569664; 96628456; 82789303; -1; 496072850; 830418804; 924972507; -1; 487489599; 500161528; 149185912; -1; 879437175; 539448279; -1; -1; 329397876; -1; 551765401; 699059770; 291474383; 867830008; -1; -1; 494420225; 624156399; 825206148; -1; 674258953; 919243789; -1; 796824803; 34878465; 848618926; 628778209; 478920596; 747302668; 734305675; -1; 45977242; 534768891; -1; 341202041; 223279463; -1; 400177628; -1; -1; 851310911; 966271826; 320815191; -1; 582213522; -1; -1; 591263261; -1; 561626991; 537977536; 551892147; 17776923; 383629979; 416834650; -1; 310158686; 865465206; -1; 213839031; 418761645; -1; -1; 974892320; -1; 921313829; 655407582; 213047159; 710854812; 644951520; 324745124; 588892017; 897295813; 293903111; 404752363; 536385801; 491550037; 627610555; 431402895; 302485935; -1; -1; 703543267; 282260786; -1; 846215558; 481787995; 32227839; 42537063; -1; -1; 973105753; 329476712; 806863615; -1; 519862759; 418676259; 511647284; -1; 955577133; 656130427; -1; 643064206; 487286547; -1; 738421781; 534214705; 335759187; 939105355; 584970070; 966262490; 938917492; 854781178; 466852911; -1; 423714509; -1; 13395118; -1; 879954615; 248727427; 708950959; -1; 744280838; -1; 161062426; -1; 987738209; 16617279; -1; 737061349; 728701206; -1; 748173512; -1; 990825591; 250254088; 860097308; 876010051; 376959207; 863821256; 757722503; 835956757; 292270412; 466436201; 381295074; 146689560; 359329460; 21509251; -1; -1; -1; 351471756; -1; 464525787; 717532381; 826300942; 4607837; 286710184; -1; -1; -1; 225589271; 404209103; 419923582; 942714108; 364898980; 376884828; 63364362; 972884352; 264140897; -1; 142634912; 599041412; 433581341; -1; 801386769; 940268556; 677966518; 593324632; 902402423; 914394357; 66890548; 344583617; 179570369; -1; 396902596; 269069156; 52303112; 555573495; -1; -1; 745960825; -1; -1; -1; -1; 141046416; 278934546; 683759993; -1; 769299019; 299977631; -1; 128554969; 472362464; -1; 607831091; 211960164; -1; 714256609; 786868256; -1; 690637810; 78668803; 457734490; -1; 784593657; -1; -1; 112583699; 637321256; 83005238; 992461775; 574417979; -1; 471994985; 281482888; 33693138; 42151912; 933140150; 567067342; 943961386; -1; -1; 699629248; 968600612; -1; 36959847; 737181698; -1; 137943976; 627644721; 849202737; -1; 430076489; 891367475; 876862060; -1; 259041794; 806859526; 315132458; 108280334; -1; -1; 625147129; 860569640; -1; -1; 963921771; 292428619; 655943565; -1; 759428179; 275555213; -1; -1; 687030471; 42622245; 536488939; 803558076; -1; 20571440; 146065527; -1; 683279771; 572489437; 593050639; 730304793; 133177692; 795879376; 238015410; 548109956; -1; 218773159; -1; -1; 624733672; -1; 158489497; 259103943; -1; 2705118; -1; -1; 210095545; 125624270; -1; 430412008; 968011927; 977870797; -1; 729677381; 979230505; 538487453; -1; 408006899; 810804241; 328734981; 257667092; 610945846; 246203855; 52514241; 708482688; 767924118; -1; 327748499; -1; 999296543; -1; -1; 333820268; -1; -1; 206716555; 82883303; 974283329; -1; 699424474; 245467570; -1; 66543467; 82490589; 61402538; -1; 913551626; -1; 599293406; -1; 744291877; 501866401; 72995178; 224449605; 388665168; -1; 62741609; 137145743; -1; -1; 271539727; -1; 708419149; -1; 556564990; 911088591; 952467978; 822564818; -1; 968852365; -1; -1; -1; 87702254; 240672140; 88588550; 602310024; 960507989; 972450569; 946462702; 883229182; 173315927; 242516281; 817279191; 232803060; 234965824; 449649255; 63020217; -1; 958256242; 882096883; 554140555; 772530598; -1; 306019240; 233449943; -1; 580363075; -1; -1; 488012935; 733551659; 379437498; 417050677; 1041496; 816987803; -1; 644076640; 245281664; 875942918; 228592410; -1; 104582499; -1; -1; 706596722; 440369106; 332779876; -1; 10220329; 963933668; 923471019; 972986504; 772192570; 518356995; -1; 621340698; 514061136; -1; -1; -1; -1; -1; 766246113; 441265614; 990067652; 536316780; 3928375; 150846544; -1; 466540023; -1; -1; -1; -1; 129678885; -1; 133551318; -1; 412845156; -1; 833099803; -1; 177767659; -1; 106583271; 599648445; 735941824; -1; -1; 558853107; 771745800; -1; 63390045; -1; 35445530; 793861705; -1; 767926706; 925416610; 605528270; 208447745; -1; 915899189; 131992227; 834368820; 667549877; -1; 976951536; 472554078; -1; 162675766; 130643171; -1; 691201982; -1; 697932510; 528003324; -1; -1; 83757696; -1; -1; 655546311; 316750762; 949060364; -1; -1; 636440847; 327342810; 304651169; 158211376; 749144015; 594675718; 305925294; 192159027; 100653227; 867902280; -1; 374783116; 215915211; 652394021; 710421734; -1; -1; -1; -1; -1; 195818084; -1; 531858113; 496199383; 282401703; 509571924; 823377301; 803501344; 836173733; 980037823; 419532265; 545957029; -1; 111729645; 850344447; -1; 268758416; -1; 299726001; 543957357; 810115209; -1; 322512255; 488819249; -1; 409329896; -1; 915113336; 336991995; -1; 705363304; -1; -1; 433168073; 264139639; -1; -1; 714937316; 764250677; 278918113; -1; -1; 22655815; -1; 205528776; 435966763; 510945785; 794291839; -1; 285989307; 658897811; 681470708; 94105704; 660260301; -1; 884170160; -1; 972221420; -1; 607129667; 18177520; 438086484; -1; 703128945; 255872992; 920357189; 857030412; 294300130; 653482047; -1; -1; 522813851; 754657958; 212888812; -1; 79493915; 786988075; 391840382; 564560155; 757905019; 969935521; -1; 276098882; 932459521; 422329223; -1; 821716941; 511173924; -1; 651966393; 47538223; 671210456; 516033595; -1; 461115716; 614674530; 221057143; -1; 207782827; -1; 674278463; 925211065; 345105170; -1; 821141900; 325299624; -1; -1; 806144362; -1; -1; -1; 658150884; -1; -1; 121658564; 664006544; -1; 553846373; 368795872; 139139905; 139570743; 858993930; -1; -1; -1; -1; 21761937; -1; 288818575; 661772971; 96677450; 659159544; 955832925; -1; -1; 299127508; -1; 991122705; 21000806; -1; 956840826; -1; 868319665; 377547152; -1; 80192004; 251551100; -1; 94334710; 252021998; -1; 377526121; 662478123; -1; 453674552; 561266740; 390305703; 332215283; 615108930; 475600460; 766066555; 622006504; 528821267; 170955514; 727322112; 990093791; 642083842; -1; 97646954; -1; -1; 404200580; 11910164; 472563465; 912249323; 255973405; 350407585; -1; 181567812; 848251404; -1; -1; 20415482; -1; 692027862; 697467050; 579208790; -1; -1; -1; 543193161; 672226279; 331933725; 506107933; 634307704; 157326455; 657363964; -1; 228594176; 579070482; 205960109; 142321684; -1; 95287932; 221789927; 567720576; 204402826; 614666079; 129312745; 211921218; 486500807; 487719802; 34224018; 208956430; -1; 881290219; -1; 628773636; -1; 452710662; -1; -1; 653120636; -1; 797791292; 943079476; -1; 212835536; 122518982; 893684321; 854132710; 539839751; -1; 704748056; 840046276; -1; 1613854; -1; 229505244; 752495021; 185695090; 666360019; 299916410; 222080860; 758870663; 779533415; 393839713; 687671120; -1; -1; 11158714; 544219648; -1; 309905343; -1; 978147831; -1; 604670640; -1; 469734819; 260471598; 311437220; -1; 462534246; -1; -1; -1; -1; 409085403; 822370110; 7999499; -1; 970798716; 61868816; -1; -1; 581080674; -1; -1; -1; 1270238; -1; 443118194; 878031350; 136687001; 715469919; 792530243; 568426083; 974185928; 704953942; 853804979; 760695508; 486647546; -1; 394998749; 115451705; 975295862; 512622747; 693995850; 886485188; -1; -1; -1; -1; 552339635; 482456808; 268389762; 431833984; 897229145; -1; 660441568; 228968336; -1; 332321795; 740228347; 888129275; 706233944; -1; 549281041; 874251312; 659454320; -1; -1; -1; 952910683; 534209653; 849335944; 919173886; -1; 125512435; 539182470; 748092562; 206098399; 883477111; 621284741; 482715103; 153337156; 733669396; 191458437; 606581313; 663864159; -1; 84162283; 282174087; -1; 367495303; -1; 702657268; 436338190; 485467308; 992566292; 857060702; -1; 576098096; 806216397; 834759645; -1; 120272529; 549344687; 510585738; 799353494; 104772625; -1; 922984409; -1; -1; 880242440; -1; 160197213; 825696817; 449274965; 104198600; 402377536; 761757310; 322850667; 581967188; 304675007; 356048548; 391928610; 953573804; -1; 338569183; 373538891; 703447254; 769856515; 578440408; 816866454; 792338238; -1; 681110459; 818762127; 3285679; 395562882; 208037663; 604642740; 623014793; 787715667; 530192401; 868442893; 985611005; 816338820; 552338427; 908704719; 999117045; -1; -1; -1; 902368443; 350825314; -1; -1; -1; 159691460; 228979415; 702225204; -1; 949515077; 131823574; -1; -1; 109179787; 937648850; -1; 965410258; 357950117; 712195591; 683830508; -1; 253800873; 357713700; 445241494; 458637139; 888594454; -1; 701579167; 549177107; 628758103; 660904763; 586297997; 341694115; -1; 671003243; 41499222; 537760360; 84594192; 789826266; 688754017; 953286349; 566619960; 369187299; 5703495; 880212455; -1; -1; 126779224; -1; 738386789; 432454205; 563620273; 749810966; -1; 834555026; 601381884; -1; 892902874; -1; 1009642; 811471580; 69963096; 413076125; -1; 291636315; 136874731; 275552402; 706050933; 158709535; 181948118; 59835173; 422553044; 559969209; 330773652; -1; 541361886; 414196396; -1; 477051181; -1; 525403203; 569150516; -1; 552659872; 992540028; -1; 648072945; 270656027; 706804213; 301831595; 958283602; 382278632; 75450742; -1; 749099555; 894647832; 909520358; 593277164; -1; 406057926; 657938934; -1; 799656960; -1; 253063163; 816904799; 805959158; 882989810; 118905835; 569562742; 425849826; 112317007; 533657180; 817775010; 687172024; 139579226; 281312243; 550379478; 122598984; 641054509; 269364976; -1; 995167654; 774249964; 146504639; 128200272; 617958282; 429351598; -1; -1; 320588212; 192338204; 350588635; 673137306; -1; 237368710; 942292719; 40200043; 124655173; 305686786; -1; 781651786; -1; 746787783; -1; 583523275; 705953322; 964088979; -1; 737015589; 530491785; -1; 285267786; -1; 583063308; 693065870; 412496568; -1; -1; -1; 71856194; 139068015; 621044883; 472627570; -1; 606201471; 479586942; 313665364; -1; 574315728; 542784489; 333817706; 115247093; -1; -1; 339158002; 875521117; 959438632; -1; -1; 615329819; 989387800; 298722309; -1; 726806004; 866382764; -1; 290330120; 868732864; 786870573; 320797847; 779590852; -1; 198632570; 363401582; 626054813; 459302763; 323818856; -1; 447093076; 964505429; -1; -1; -1; 422738660; 266288512; 108579592; 927208982; -1; 296159111; -1; 169530846; -1; 323181989; -1; 967301760; 348360460; 805236993; 805514187; 737738112; 879560856; -1; 676731409; 909792519; 922531965; 346255292; 306617771; 643924643; -1; 377669277; 890513213; -1; 537177512; 118072596; 877449657; 592391028; -1; 741506392; -1; -1; -1; -1; 99471422; -1; 918791384; 314674317; 571612119; 487387581; -1; -1; 573455840; -1; 375564090; 374985802; 413460520; -1; 756983033; -1; 193860148; 179138908; 962930247; 883290326; 560416588; 305490213; 238934279; 736717342; 829363870; 82558865; 874736500; -1; -1; 453375339; -1; 90072041; -1; 129514570; 286085345; -1; 623203080; 199238146; 293836462; 750092022; 160130725; 269247614; -1; -1; 969316020; -1; -1; 477408861; 602004132; 674405785; 800345955; 206986050; 917432157; 528725888; -1; -1; 581587807; -1; 960836143; 991420089; 80866472; -1; 525275036; 493856413; 942264623; 202000383; -1; 194662826; 879873024; 326998197; -1; -1; -1; 275207218; 520952461; 999745531; -1; 352425143; -1; -1; 197384890; -1; 877824378; 3962710; 23116636; -1; 413682201; 523299088; -1; -1; -1; -1; -1; 448565435; 121306496; -1; 937639422; 104902575; 547399409; -1; 990673173; -1; 308566053; 209731200; 551164692; 584729714; 465750868; 201143246; 713924080; 996439837; -1; 568783090; 602590379; -1; 392246094; 717249895; 356551320; 915878276; 273773801; -1; -1; 675896030; -1; 614037336; 739688445; -1; 277253133; 918105168; 721747355; -1; 882304419; 838711108; 477599713; 593457825; 776488045; 585690376; 350983796; 226033221; 51759068; -1; -1; -1; 30846041; 199322559; -1; 989399174; 923073678; 38858515; 35989510; 722009433; -1; -1; -1; -1; 661077463; 408697864; 108517870; -1; 794307802; 133250701; 473174409; -1; 542262484; 166122463; 715741843; 441778726; 712609757; 926896093; 36106826; 305246993; 690546415; 468017003; 988159301; -1; 934429814; -1; 272376736; 993706010; -1; 714454248; 572034594; -1; -1; 754561418; 75663140; 153179970; 855719920; 996401193; 456885167; 813776544; 804978799; 303903023; 723950578; -1; 300367429; 782113710; 266776653; 752093988; -1; 135343833; 751660800; 678646579; -1; 628181210; 582134530; 466943728; 271660868; 936678064; -1; -1; 534592011; 741879176; 708496001; -1; 246389670; 508366009; 208081890; -1; 637200315; 570991283; -1; -1; -1; -1; 608466503; 443354451; -1; -1; -1; 652454879; 213081041; 940072210; -1; 127384838; 98864493; 93593489; 55840242; -1; 69728511; 145849202; 195181771; 151821205; 165926959; 560424474; 676838826; 228398557; 923785021; 642006746; -1; -1; 322842249; 123339805; 206007661; -1; 877224081; 543458396; -1; 211643623; 609827433; 42947777; 589048972; 364637826; 119673377; 51788834; -1; 366695044; 346121992; 617146501; 16611604; 596621663; -1; 509727044; 854738131; 137101310; 862654648; 686114169; 917290634; 794804358; 986223223; 799828624; -1; 668415638; -1; 587402950; 95065566; 582190354; 845110588; -1; 724607986; -1; 123962848; 858716585; 413951970; 972555349; 958580481; 599580027; -1; -1; 721227606; 856786853; 401286775; 724943817; 894388441; 216498608; -1; 652846491; -1; 501133984; 720989369; 981461415; 475037993; 680212099; -1; 747818394; 16410401; 237764121; 170100639; 64682285; 506931925; -1; 628414845; -1; -1; 798331664; -1; 575527815; -1; 58196113; 528140661; 25550359; 588176180; -1; 115908426; 446174880; 545250807; -1; 685837765; 742564748; 320124615; 706608938; 731744635; -1; -1; 111353511; 951062758; 817426242; 989886218; -1; 151314787; 89249168; 927721986; 278326013; 741221293; 833731111; 136178347; 568192435; 31502141; 1632494; -1; -1; 748942180; 778610462; 959231434; 288060480; 486342305; 300667083; -1; -1; -1; -1; -1; -1; 7801654; 179245638; -1; 447361828; 476094004; 949805982; 904922597; 960960890; 439505121; 453714654; -1; 240657941; -1; 263912547; 607621981; -1; 138798051; 127931522; 718538386; 51437882; -1; 355719794; 118356287; 480157081; 110606285; 162728244; 928201416; -1; 500785466; -1; 894656375; -1; 255551945; 148186901; 203998650; -1; -1; 257998972; -1; 999519311; -1; 263563110; 910070108; -1; 53270077; 201522494; 752881232; 470735976; 79743275; 454236775; 591921682; 224199829; 707820136; 53572776; -1; 385818810; 189121311; 78631880; 448596807; 586009122; -1; -1; 551226584; 687298924; 110423210; -1; 112016112; -1; 537482300; 593567173; -1; 195589506; -1; -1; 861040038; 331816886; 122391287; 657281662; -1; -1; 700678909; 565874968; 78699557; 342566272; -1; 641190865; 575684448; -1; 985402103; 308394556; 635785222; 647871750; 719396324; -1; 399314444; 985015156; 161102268; 388798461; 789615956; 953719500; 96985014; 469839124; 267787354; 800476055; -1; -1; 691472947; 862175694; 156579457; 879389805; 320391857; 74423873; 593603654; -1; 609905031; 781976990; 316112556; 809889629; 805214348; 561907176; 944966548; 229511040; 467959172; 797141571; 782006012; -1; 877525700; -1; 13855434; 542858878; 966482079; 387988141; -1; 964637716; 414193758; 905378979; 511488602; 285168305; 971945880; 324930222; -1; -1; 596383227; 432272740; 615508030; 237927199; 988016389; -1; -1; 370977642; -1; 623893734; -1; 260951494; 30010199; 167715218; -1; 439546111; 226249875; 995975817; 810814181; 970727318; 822165032; -1; -1; -1; 781591636; -1; 545290217; 173444019; -1; 618132503; -1; -1; -1; -1; -1; 185197836; 600899588; -1; -1; 619472706; 883560382; 628449827; 385393275; 489840177; -1; 549760741; 298173193; 226908661; 872944383; -1; 412221372; 296738881; 54502604; 388773570; -1; 933633117; 304110323; 714312565; 54653293; 197601598; 391279984; 551389692; 913533881; 802716605; -1; 621178836; 184671013; 198536661; -1; 803461030; -1; 549728269; 942417424; 235337680; 452515351; 830322102; 474543927; 360075678; 257425098; -1; 576499265; -1; 875936835; 646408571; -1; -1; 436912987; 526321606; 556460252; 269111259; 408643359; -1; 590433039; 648569912; 709642901; 315424617; 742057917; 615115106; -1; 959250872; -1; 248884615; 79631893; -1; -1; 827989983; 807346285; -1; -1; 713848539; -1; 401147118; -1; 707199095; 438461388; -1; 87954382; -1; 269927551; 263470512; -1; 599342486; 902085490; -1; 546723544; 103496532; -1; 519352318; -1; -1; -1; -1; 236186091; 195137751; 83198493; -1; 560874304; -1; 600739742; 779065274; 139402582; 386125533; -1; -1; -1; 242126373; -1; 750964555; 396911520; -1; 974027100; -1; -1; -1; -1; -1; -1; -1; 393549591; 502307124; -1; -1; 966819566; 24555698; 888933401; 607193568; 670382397; -1; 529611380; -1; 408423407; -1; 342706700; 685391737; 441840086; 620333283; 758930220; 751934013; 803683648; 571186076; -1; 415443299; 219049227; 975178702; 371045603; 335823377; 142110723; 339043655; 654234342; 362370344; -1; 771940289; 608602431; 950162795; 221513876; 505663372; 288828749; -1; 988889924; -1; 762173819; -1; 507565583; 707347640; 929948094; -1; 949360038; 935471876; 958962444; 249349927; 436865441; -1; -1; 167523786; 935425558; 917819592; 725887359; 797362381; 419133641; 417979222; 191848666; 627994229; 669737718; 145354547; 730245319; -1; 513743494; 611047719; 463276171; -1; 577381924; 322908747; 106751432; 998635189; -1; 129606500; 517529144; 925717401; 798356096; 363360237; 273950633; -1; 823144594; -1; 973990360; 406387013; -1; 566355857; 897788725; 453881915; -1; 484690671; 199677012; 654491206; 584419750; 260144351; -1; 336172911; 431110945; 7345299; 166865817; 216039772; 236435739; 501491270; 456367284; -1; 345035493; 191904627; 773422791; 638779039; -1; 847957882; -1; 204030876; 976401909; 788238495; 510804569; 606242594; 781742034; 983188446; 725550567; 743259259; 251065419; -1; 87157646; -1; 801151479; 308944555; -1; -1; 436154268; 913040130; 831941343; -1; -1; 27987024; 491479350; 184569556; -1; 760119787; -1; 385887533; 145511201; 452062065; 892507489; -1; 778159862; 971027581; -1; 64336905; 682526642; 117919328; -1; -1; 94453947; -1; 310375340; -1; 543358537; 809758906; -1; 92427611; 698570402; 729930400; 792465549; -1; 612579293; 259744959; -1; 584097519; 66856850; 661178884; -1; 134020627; -1; 61342320; 633881511; 780526334; 145769573; 392872444; -1; -1; -1; 672880149; 956464856; -1; -1; 896467877; 132936164; 914261554; 249769487; -1; 939270999; 408172751; 862117078; 584877917; 600867130; 962969148; 896652395; -1; 17291336; 351657956; 742705324; -1; -1; 930477887; 585937837; 899328871; 239399338; -1; 611926047; -1; 459147555; -1; -1; 104442315; 678959453; 564622238; 99376353; 560207568; 986358698; 174449347; -1; 330625812; -1; 391283919; -1; 632283548; 557139758; 838975895; 956605493; -1; -1; 309518940; -1; 212518189; 551298067; -1; 744954744; -1; 545333949; -1; -1; 931767592; -1; 616652553; 68199292; 53291714; -1; -1; 252196818; 808808324; 787282571; 581228946; 424432980; -1; 518985543; -1; 443849817; -1; 686513230; -1; 24526722; -1; 23184956; 875515849; 470896644; 630378438; -1; 367289337; 232286480; -1; -1; 387957790; 809220882; -1; -1; 949847506; 190607521; 469937398; -1; 493265583; -1; 8201714; 99748979; 384096526; 669711439; 450271782; 570925593; 969346579; 249541803; 823326568; -1; 967038310; -1; 810223519; 326034160; -1; 210455480; -1; 850677354; 932949901; 376789545; -1; 230056895; 122441496; -1; 340702205; -1; 663076579; 380403591; 585948453; 581706049; 606322768; -1; 847770946; 586067444; -1; 457101188; 413056094; -1; 411387422; -1; 484272687; 72550434; 531000140; 93078079; 516684121; 828220242; 95820231; 513106695; 6464951; 937704511; 293202022; 613865124; 102951870; 869751720; -1; 908967798; 917633836; -1; 646181268; -1; 122232256; 271709306; 493530691; 661745549; 171807996; 307419857; 104549801; -1; -1; -1; 578094422; 326175230; 373355453; 464823133; 835051302; -1; 512655285; 938373960; -1; 363011074; 13345796; 148195694; 982295626; 304358623; 248694630; 859605030; 678722770; -1; -1; 884451508; 79816457; -1; 816432457; 323658665; -1; 85391256; -1; 203062791; 548915689; 371477286; 919002246; 376559948; 409278647; 352907241; 461702155; 894991953; 990983622; -1; -1; 424611160; -1; -1; 164257825; 614100891; 726935596; -1; 143288617; 165400596; 754712763; 609367661; 617075981; -1; 227332215; -1; 976726449; -1; 516613343; 502247393; 678377096; 195650603; 621089712; 6884288; -1; 535664535; 816609215; 964485906; 398999320; 378279838; 585277622; 120710439; 443925170; 881897479; 839308617; 620316083; 334652508; -1; 814658202; 219325930; 118928204; 451849580; 609159026; 361447664; 442213783; 576017335; -1; 139312660; 67516295; 787341545; -1; 137659114; 870663496; -1; -1; -1; 452474693; 856003571; 925587847; -1; 606791729; 603203325; 746999061; -1; 320456431; -1; -1; -1; -1; 742910611; 96336698; -1; 932469018; 711106749; 847134724; 791782926; 791949433; 615109693; 470481277; -1; -1; 545080292; 128321712; 911155974; 683595173; -1; -1; -1; 426514760; 190646130; 258343724; 898116722; 408682159; 23779306; 820713214; 49990232; 872957799; -1; 689619697; 993710905; 442399388; 591646589; 993424900; 944631025; -1; -1; 248917546; 167065653; 594167838; 306196317; 172582229; 301853245; -1; 453819443; 632499914; 409391255; 776506191; 190055848; 378558716; -1; 120809269; -1; -1; -1; 227791321; 295621010; 287281814; 562558722; 174685847; -1; -1; 843959386; 558531389; 277270402; -1; 459318661; -1; 470511127; -1; -1; 815920983; 209360382; 605168533; 888354339; -1; 239110070; 890838971; -1; -1; 131602546; 376906377; 456563956; -1; 898600678; 354523403; -1; 169364067; -1; 208164692; 299589926; -1; 650814659; 207194620; 118901698; 104801960; 172106903; -1; -1; 17062523; 302712158; 334487731; 63311945; 565957052; 32139982; 963448750; 84917457; 885526954; 985812211; 619084642; 333252701; -1; 104275783; -1; -1; -1; 672574468; -1; 965774642; 199917543; -1; 852918101; 282837116; -1; -1; 248208768; 701745698; -1; 267175086; -1; 101355588; 548588604; 91415528; 420044773; 685932141; 532496718; -1; 642760342; 962430275; 669867386; -1; 634087410; 728149934; 500820521; 897936023; 893300990; 437571770; 593573227; 120942293; 609567766; -1; -1; -1; -1; 211112301; 87454642; -1; 70376118; 384447763; 323092367; -1; -1; 766650377; -1; -1; 62147088; -1; 87809371; 154629767; 333435281; 772132399; -1; 414151612; -1; 774331235; 50909433; -1; 720061847; 566027242; 271245725; 131884187; 876092483; 445571940; 455172372; -1; 277313808; 507504427; -1; 650893502; 760093999; -1; 238151604; 473066437; -1; 725887588; -1; 166496748; 858634879; 349573286; 170950350; -1; -1; -1; -1; -1; 142095549; 621128526; 12564647; 485749427; -1; -1; 862615952; 592156375; -1; 485140835; 422790239; 475235582; 727010391; 98871027; 428857092; 560494274; -1; -1; 613279864; 76201073; 582879670; 146010539; -1; 601885784; 921631950; 338160610; 114184214; -1; 588139070; 902252708; -1; -1; 890942199; 131373202; 646086171; 516456892; -1; 762955082; -1; 339950537; 353361007; 66786381; 653807014; 193022372; -1; 191053645; -1; 746240665; -1; 905024603; 471546097; 154851845; 295199819; -1; 871285846; -1; 879451435; 155006047; 646724287; 892889692; -1; 288569692; 246785401; 398521504; 65115082; -1; 347026835; 43281007; 984807666; 471771636; -1; 240827781; 72106930; 41199440; 427420228; 606701717; 8603497; -1; 226456325; 441715268; 357554345; -1; 141426273; 193313684; 23107481; 355812402; 943194245; 277423415; 838121083; 553908678; 830080413; 85629946; 271479834; 11325829; 100388119; 359636014; -1; -1; -1; 819530710; 547722796; 42157066; 732058343; 404325824; 260852586; -1; -1; 897927597; 449533254; 905575348; -1; 831279869; 168892452; 97745446; -1; 593156943; -1; 623415021; 211814050; -1; -1; 654777596; 481758790; 730974124; 662702213; -1; 310862694; -1; 886900384; -1; 18227283; 825267367; 918408701; 250143887; 81682706; 933342760; 654629316; 339948447; -1; 278305493; 292895854; -1; 909342048; 103772753; -1; 386301258; 8775298; -1; -1; 437934721; 668641071; -1; 816998829; 184926796; 221531357; -1; 284898980; 534236342; 851256572; 372475205; -1; 738054516; 178438764; 681123007; 346944447; -1; 68932155; 609981105; 606515293; 616359578; -1; 666351496; 16909533; -1; 171415128; 706324669; -1; -1; 796152504; 955446024; -1; 994593700; -1; 778961304; 729826266; 223310394; -1; 738289114; 494359446; 146448764; -1; 446735151; 232549839; 798562406; 222910121; 523433259; 815750618; 935098087; 8686536; 365559941; 44990071; 592573838; -1; 786863589; 252438814; -1; -1; 924593130; 23802486; -1; -1; -1; 442080207; 699442562; 874797152; 977110248; 135940635; 17011122; -1; 662728086; -1; 778346660; 326592035; 459826824; 527073775; 406967719; 47990735; 402092513; -1; 62290633; 128265557; -1; -1; 753791297; 988499508; 44510918; 733450210; 573350631; -1; 314271534; 645818912; 724004558; -1; -1; -1; 744729872; 158469759; 5765081; 573408894; -1; -1; -1; 192909566; 593535323; -1; 950266968; -1; -1; 745786546; 985109073; -1; 7786532; 945958713; 556664510; 630649784; -1; 358049760; 455455513; 155066946; 325451741; -1; 761472089; 749641919; -1; 857130777; -1; 142229210; 568982166; -1; 883640620; 178397185; -1; 142419442; 601379401; 934520272; -1; 928523912; 669402208; 662365484; -1; -1; 75461135; 16998488; 350809925; 392836211; -1; -1; 509621137; 265631424; -1; 469234429; -1; -1; 82851876; 555026097; 563350064; 382193125; 122799911; 935607742; 86739896; 418121644; 937257919; -1; -1; -1; 473611802; 406994074; 9060414; 825629899; 159628679; 671788700; 588404749; 424588916; 686519080; -1; 270111564; 511350105; 592043669; 861204332; 831718750; -1; 467599157; -1; -1; 50719766; 918872173; 414670379; 595284294; 482713224; 99175047; -1; -1; 304347857; 874968415; 953553668; 454196652; 780861672; 967190515; -1; 318342294; 257077290; -1; 798481143; 790583584; 394339625; 803898962; 369246454; 550087254; -1; 575134400; 678654670; 582106688; -1; -1; 365136235; 331478783; 37916654; -1; -1; 441125646; -1; 399256410; 319847604; 913886819; 986460998; 193066196; -1; 702171718; 727447859; -1; -1; 101780814; 392286290; 976861231; 262638044; -1; 233887950; 783982544; -1; 923743874; 723285237; 792110485; 395226992; 372984834; 314308813; 781647291; -1; 238546222; 598846717; 718501231; 580277205; 241073896; 863994878; -1; 708577890; -1; 546678684; -1; 976016205; 291884534; 832913094; 591628411; 180313161; 312313999; 783014195; 150317416; -1; 872094695; -1; 330398502; 63362989; 938890513; 396366778; 271654501; 757806077; 63846123; -1; 408674698; 888441456; 71127898; 762454941; 358678761; 86123677; 708428060; 353201814; 185935360; -1; -1; 544570851; -1; 975502109; 120354932; -1; -1; 842429389; 443626646; 722247976; -1; 377271364; 410025110; 623307516; 187377214; 20675250; 913257540; 536646569; 109464704; 626338237; 701322471; -1; 564206071; 722480288; 847703875; 392691409; 776912201; 20110838; 341392031; 111424668; 72510148; 867875035; -1; 393960826; 552809081; 729910625; 625874914; -1; 564656087; 839816958; 829017153; -1; 803534481; 201099639; -1; -1; 90970491; -1; -1; 498844707; 198890983; -1; 42046514; 290027186; 387345843; 133832417; 629104604; 308952140; 604631495; 17979299; 269399311; 952399998; 143320279; 662608583; 352626154; 649144785; 985177566; 554799353; 77289546; 389037647; -1; -1; 735101594; 261276039; 102293244; 928588535; 49503010; 420594316; 715579432; -1; 945074875; 100176360; 441599275; 893074643; 569394067; 661982843; 286599420; 490838546; 122960181; 306042896; 102459972; 972676528; 941388427; 475442068; -1; 973874552; 421899851; 366902534; -1; -1; 317929092; 761841876; 192602965; -1; 485294420; -1; 648302685; 614090966; 874565050; 183748178; 211218878; 784429595; 342152599; -1; -1; 422590564; -1; 857908278; -1; 132084620; -1; 457879179; 233797527; 819328656; 189695659; 161267218; 711369594; 910169747; -1; 233593577; 105189742; 138548680; 151937720; -1; 811422041; 958470396; 960132880; 533110159; 407149058; 331740417; 37941733; -1; 392464032; 465319164; -1; 155806843; 383289992; -1; 887163056; 246785671; 663528794; 662955467; -1; 904899974; 96907314; 539361062; 666715277; 943774046; -1; 207547189; -1; 26754884; -1; -1; 719192022; -1; 821254818; 200800787; -1; -1; 333974323; 286829049; -1; 351912159; 795948223; -1; 612957903; -1; 63975540; 297619855; 747528809; -1; 388686031; 49950706; -1; 625992904; 383142542; 14807194; 415216400; -1; -1; 510812953; 429519294; 860767633; -1; 256699484; 385030785; 634344562; 61678256; -1; 790112350; 839355956; -1; 104675634; 752629319; 556657185; -1; 110329095; 152553616; 265492945; -1; 261606232; 207613638; 552717235; 885693208; 343991019; 439752858; 375835822; 259638267; 434388310; 984039562; 702734298; 358805141; 350966343; -1; -1; 523457903; 901607910; -1; 316922075; 641571349; -1; 425876414; 788065383; 317942160; -1; 994807683; 242417287; 525288656; -1; 415217992; 440047620; 448746167; -1; 877437704; 590590360; 582999058; 440809559; 251146514; 831212065; 223732278; -1; 507005596; 957037303; 582722099; 125820860; 83531518; 582020996; -1; 940859043; 661809266; 872025631; 492466310; 562419246; 9527792; 566189826; 77034407; -1; 978489635; 172192771; -1; 570860966; 25466539; -1; -1; 78889242; 296119019; 355329104; 389019262; -1; -1; -1; -1; 879753989; -1; 645561182; 79234633; 227602183; -1; 759477114; -1; -1; 627617596; 162572926; 40748001; 955577649; 597726882; 237298485; -1; -1; -1; 890636693; 807674077; 498640439; 683409036; 683373716; 183415886; 100187039; 237337598; -1; -1; 266421773; 729818667; -1; 988701570; 512143274; 191889073; -1; -1; 967111997; 647582447; 642780008; -1; -1; -1; 92616800; -1; 416701643; 225149227; 232498122; 111674620; 877750448; 461811879; -1; 759037408; 583684473; 407320374; 590823105; -1; 669272727; -1; 570247912; 990866565; -1; 260405545; 994182444; -1; 392613189; -1; -1; 417618698; -1; 10231289; 550582670; -1; -1; -1; 853218836; 846753190; -1; 752308583; 315314498; 225482058; 884442968; -1; 341670180; 240324413; -1; -1; 96058256; 829216387; 59042277; 360468168; 158273267; -1; 670449354; 606082934; -1; 250446807; 361502863; -1; 443556175; -1; 315545586; 599724766; 685805279; 809199340; 927487725; 347926301; 513884450; -1; 226984385; 157151698; 114124253; -1; -1; -1; -1; 484813865; 510213540; -1; 303147345; -1; 957398760; 909014898; 844402777; 841086461; -1; 215699375; 907187546; -1; 894711921; 81493636; 439031816; -1; -1; 377796136; -1; 526192058; 511805496; -1; -1; 221341715; 237261171; 358654352; -1; -1; -1; 726577600; 824335439; 990688548; 600429303; -1; 711492203; 24981901; -1; -1; 437231889; 30132120; 506698887; 439893060; -1; 10185732; 746874127; 859964646; -1; 595069382; 907484404; 768703181; 197404581; 460055712; 759582525; 20966058; 927917484; 752674277; 338550683; 329983527; 384507706; 807420881; -1; -1; -1; 382697601; 430243567; 70648744; 132543677; 875161; 324939204; 575565325; -1; 581844594; 55710925; -1; 82278722; 497440470; 700544874; 654096676; -1; 329504371; 657510327; 517150368; 210950805; 717446216; -1; 447966091; 964806808; -1; 488428577; 806164775; 26004108; -1; 76526608; -1; 249141461; -1; -1; -1; 95370778; -1; 829857515; -1; 183407585; -1; -1; -1; 578914857; 130330619; -1; 247421034; 402838739; 161757413; 415000598; 272106737; 55790268; 250029138; 959094505; -1; 634137876; 784622168; 290010803; 950531606; 29310965; 40583365; -1; 950222028; -1; -1; 952182629; -1; 839394449; 183986341; 424552948; -1; 328625616; 291491710; 263260531; 304226011; -1; -1; -1; 203483105; 916234274; -1; -1; -1; 488496576; -1; 861414040; 481353747; -1; -1; 855211458; 472172400; 890055262; 813826947; 428234362; -1; 437686046; 894868833; -1; -1; 688781800; 93394378; 339020498; 904842418; 196488483; 713188860; 834510671; 325660924; 355047482; 930211796; 735455282; 141369620; 516204099; -1; 774104455; -1; 426001032; 955801530; 287118614; -1; 55841998; 948254425; 383664541; 881198322; -1; 709870654; 491834931; 373369691; 44879762; 272915906; -1; -1; -1; -1; 369318554; -1; 181587953; -1; 314934552; 803527200; 934747248; 279629345; 211224708; -1; 661902785; 500326698; -1; 569818142; -1; -1; -1; 878824557; 921429527; -1; 467037541; 293237891; 670656291; -1; 416278266; -1; -1; -1; -1; 178668408; 619771116; 384129476; 164602837; 289513676; -1; 372531969; -1; 363059306; 272251387; 392914426; 506425649; 279254545; 452328920; 406674120; 172475456; -1; 677284634; -1; -1; -1; 90264480; 849332616; -1; 551734451; 168073732; -1; -1; -1; -1; 39842570; -1; 990178296; 916515565; -1; 562319046; -1; 502428256; 586668962; -1; -1; -1; 897572756; -1; -1; 626176617; -1; 998376175; -1; 273667522; 383481637; -1; 558064845; 763420836; -1; 713833086; 762827031; -1; 218502063; 424836543; -1; -1; 709931263; 201679478; -1; 258986674; -1; -1; -1; 83388249; -1; -1; -1; 460854594; -1; 76843285; -1; 552678201; -1; 43000672; -1; 996369591; -1; 609554594; -1; 658755771; -1; 37290481; -1; -1; 829681698; 208258867; -1; 394656826; -1; -1; -1; 932757937; -1; 472185253; 761236437; 155216956; 497029398; 69823709; -1; 170707427; 148504599; 709606172; 285222331; 768727621; 276965582; 586976823; -1; -1; 816145603; 895208478; 142171888; 908055584; -1; 776165409; 146215491; 606812281; 228620136; 685927643; 161914626; 996530820; 839467795; 347580680; 70800290; 12337509; -1; 390576290; 310020844; 807712521; 810546461; 713361632; 592418243; 528910340; 869382999; 302238572; 361397270; 949903741; -1; 687597409; 15608634; 929040186; 37276597; 142679981; 164252674; -1; -1; -1; -1; 86204364; 169743192; -1; 914410242; 746362161; 805147967; 187189618; 285961236; 613440535; 928933739; 251326291; 186557031; -1; 749972933; 857860990; 119304300; 593665344; 142898650; 616134256; 109349007; -1; 83447470; 43929410; -1; 898020437; -1; 869473464; -1; 994268160; 74582320; 120516849; 895222160; 895839979; -1; -1; -1; 298331197; 335864769; -1; 775725130; -1; 325859836; -1; 246841079; -1; 751093367; 564539344; -1; 399470510; 576875650; 35722588; 586032789; 944047837; -1; -1; 103939131; 786190842; 148017112; 981576933; 836861585; 833059568; -1; 20124196; 673092035; 586640913; -1; 573202726; 740796175; 109010218; 142513748; 230907227; 84683177; 437788678; 486898290; 699818083; 151789612; -1; -1; 212619862; 664347729; 494441731; 764969780; -1; 729637430; 572396371; 527092344; 174170020; -1; 796561497; 196965671; -1; 661915347; 19349015; 537918197; 906893481; -1; 12327001; 351445086; 265217899; 421545501; 829668278; -1; 154951180; 626342254; 378663574; 399012471; -1; 216899296; -1; 151268037; -1; 955688918; 158715659; 740459323; 484531587; 858360409; -1; 405617554; 470498599; 21884385; 892523351; 359685322; 938624523; -1; 609436496; -1; -1; 848766754; 702488198; 76476381; -1; 838960331; 609964893; 7949160; -1; 297159735; 812574099; 965454883; 498494358; -1; -1; 198891092; -1; 752207515; 274370159; 296500990; 454311447; 216260603; -1; -1; 546840053; 680492513; -1; 872477753; -1; -1; -1; 931438647; -1; 333526943; -1; 75653477; 202640162; -1; 813394979; -1; 923448030; 987919142; 825838260; -1; -1; -1; 427461178; 454568937; 895195822; -1; -1; 305452659; 137249672; 541943299; 243012916; 937951921; 984507422; 79895488; 226735396; -1; 639604849; 688907913; 647785963; 748354279; 400913577; 408274126; -1; 585415729; -1; 162098908; 262567895; 610367611; 360030873; -1; -1; 569481055; 327142396; 169587332; -1; -1; 157873740; 955122057; 141719391; -1; -1; 825786698; 892470621; 542607228; 963740798; 757427801; 226998700; 348959560; -1; 530158976; 474521120; 247572428; 552628213; 130750964; 437627054; 168255271; 57589399; 758637735; -1; -1; 647623585; -1; -1; -1; -1; -1; -1; 704413135; 512367561; 80571036; -1; 809938648; 268807942; -1; 28438646; 455716352; 963622709; -1; 972951620; 314420555; 708680478; -1; 365376661; -1; -1; 560620981; 211670137; -1; 973567540; 395775929; 143764598; 299666632; 761871331; -1; -1; 248559213; 849163121; 151148514; 990769294; 206738860; -1; 880144615; 777447405; -1; 267242547; 368322098; -1; 132243223; 292110992; 292290; 174728851; 627167636; 284937779; 228498006; 888427494; 959398496; 726555582; 445601208; -1; 949758357; 549099906; -1; 755723293; 681794553; 664005496; -1; -1; -1; -1; 441663744; -1; 316243533; 405434013; 423878083; 506195134; 252900291; 578897503; 916929221; 798408239; 120142653; -1; -1; -1; -1; 891003000; -1; 628355916; -1; 853837593; 664641897; -1; 307111372; 466076328; 934032224; -1; -1; 501263333; 519170811; 809589707; -1; 525172537; 166902018; 869117120; 95030875; 796887801; 423433106; 516749220; 901801878; -1; 799100850; 668459892; 414728593; 714358890; -1; 539214430; -1; 564362881; 457701756; -1; 843610641; -1; 573304185; 164152644; 107599089; 751534857; 126809177; 141524364; 440329426; 625148316; -1; 358202246; 39234934; 976066239; 537795044; 579753265; 525098074; -1; 42747599; 950103199; 6050871; 230894424; 606025346; 974132701; 748189203; 819443223; -1; 891387239; -1; 139875681; 70028190; -1; 635426083; -1; -1; 846968109; 473806724; 199831229; -1; 85653428; 225636100; 332162892; 97087555; 341528845; 75858065; 82555275; 664149132; 957711381; 999925806; 922379929; 200262890; -1; -1; -1; 643012054; 991246141; -1; -1; 321197177; -1; 845176693; 893395203; 290016732; -1; 149163437; -1; -1; 494011796; -1; 146783790; 278689479; -1; 18107223; -1; -1; 743102895; 335756645; 273718689; 419589193; -1; 342106287; 575032746; 390051434; -1; -1; -1; 304543623; -1; 660143147; 514762887; -1; 73259943; 948089883; 399677595; 246909779; 613346858; 106272397; 934211216; 450813802; -1; 21255977; -1; -1; 349157685; 774343711; 195716947; 300502417; -1; 279257477; 759272789; 125707120; -1; 4903972; 80696461; 528156508; -1; 94024343; -1; -1; 663912902; 680951203; -1; 766409952; 322247846; -1; 9651788; 500059111; 731469404; 423679319; 55669366; -1; 776870868; -1; 970942301; -1; 730965037; 181697482; 956385795; 205411450; 431300637; 290422655; 676982483; 282373403; 956256708; 363101593; -1; 615273971; 71277691; 462846052; -1; -1; 490541769; 548260814; 877422566; 202173511; 381382576; -1; 924843824; 463645346; -1; -1; 345428695; 48677760; 474004901; 485127862; 890778582; 910244775; -1; 490395259; 540298280; 211166609; -1; 755799479; -1; 287746574; -1; 124635705; 285686681; 542415223; 801132232; 327237139; -1; 664280287; -1; 959240548; 479131401; 657754884; -1; 650933954; 338384705; -1; 4023285; -1; -1; 156199835; 239360529; -1; 88172572; 467514686; 834174419; -1; -1; 989112999; 760396972; 407128962; -1; 893853925; 411746735; 649033508; -1; -1; 249125673; 617869927; -1; 691492018; 829376024; -1; 663765085; 180558306; 367133140; 510698029; 48642378; 864999081; -1; -1; 502087644; 627721593; 44988081; 902584765; 714846359; 949273035; 774861035; 505511887; 856507960; -1; 880374730; -1; 412779425; -1; 943740962; -1; 89469744; 936784943; 30459177; 312487211; 243880997; 304780770; 366118640; 452017005; -1; 972010089; 156348675; 801118084; -1; -1; -1; 724165623; 144259418; 80520751; 192936998; 445885788; -1; 763413552; -1; 547853230; 570010187; -1; 454004314; 263989727; -1; 473575676; -1; 933379079; 198336767; -1; 840512325; 985489768; 567411627; -1; -1; 146521438; 664633886; -1; 877757624; 694566083; 319852424; 285451859; 146763265; 731736295; -1; 719888906; 722704382; 505500298; 458886815; -1; 791423512; 445423196; 324843664; -1; -1; 875389607; -1; 66991212; -1; 573096702; -1; 705949481; -1; 336851107; 571496914; -1; 212766922; -1; 61167416; 324236974; 680321676; 90365937; 782234925; 330381233; 798393042; 424725248; 261608710; 269725578; -1; 434933613; -1; 995448923; 939990315; 572468152; 333416042; 214084146; -1; -1; 298238495; 421809746; 323078406; 557533399; -1; 826687126; 736042988; 112170579; 907063201; 103471560; 798269857; 121624413; -1; -1; 840686331; 321679058; -1; 684237368; 672287782; 259856289; 951793437; 672720219; 659891105; 677241713; 383241595; 216422284; 57267398; 572091825; -1; -1; -1; 766068666; 492651674; 672777367; 640872695; 728631196; 579360885; 652082160; -1; 907665184; 159455442; -1; 788585766; 344652980; 586688730; 390553120; 470950466; 671477783; 466029132; 816003952; 206654934; -1; 514897070; 671731608; 782913935; 717238125; 923523667; 323071486; 896767400; 688593367; -1; -1; 643206402; -1; -1; 491640860; -1; -1; 640122170; 348691922; -1; 881614240; 144588185; 825198661; -1; 29605290; 965017294; 178660110; 277693804; 6106; -1; 332070726; 961525892; 882715213; 910780726; 443514411; -1; 88769965; -1; 446346237; 290095437; 67820366; -1; -1; 632363530; 920190415; -1; 565152295; 810052418; 852143895; 443099437; 208333794; 703370266; 205250863; -1; 823887363; 365998507; 332828046; -1; -1; -1; 477877910; -1; 954259031; 804424435; 429580022; -1; 696083998; 645365579; 806488866; 844746908; 705147064; 68384179; -1; 743267773; -1; 264236279; 918718792; 754851028; -1; 740518402; -1; -1; -1; -1; 472593308; 93403209; 678466641; -1; 636556017; -1; -1; 352994213; 723788949; -1; 206919482; 61216773; -1; -1; 755905476; 682305616; -1; -1; 313024290; -1; 650145536; -1; 106105209; 894383346; 780804487; 781652832; -1; 95563189; 87512683; 180880502; 264827869; -1; 406246991; 652844279; 235729403; 752909555; 385076598; 298747456; 958072825; 490519014; -1; -1; -1; 347103594; 497761621; 641303969; 544468636; 93837210; 131168544; 253943738; 379779247; 762004423; -1; -1; -1; 890788586; -1; -1; -1; -1; -1; 912887475; -1; 210642713; -1; -1; 377120548; 327255695; -1; -1; 710118448; 801451314; -1; 174305358; 619967144; 239879797; -1; 318756991; -1; 164542559; -1; 302490465; 376894259; 310587825; -1; 165915694; 391236909; 505323780; 102493426; -1; 606956158; -1; 213600276; 167117075; -1; 209307119; -1; -1; 444113986; -1; -1; 915261412; 428942779; 502329343; 805287618; -1; 19273082; 716266384; -1; 133947195; 239025226; -1; 714642455; 300954357; 212521382; 397707917; -1; -1; 681232143; 752376889; 658836698; 239596091; -1; 899964336; 824725334; -1; 448058198; -1; 853568222; -1; 161106459; 933073959; 946565363; -1; 692876141; -1; 995820095; -1; 493401966; 263849471; 817811213; 577364179; 400032918; 347133145; 174426132; 632454569; 755721118; -1; 475532852; -1; 765496061; -1; 602172879; -1; 882730262; 442307162; -1; -1; 120371060; 639107012; -1; 913993146; 522259323; -1; -1; 38934846; -1; 827674969; 313374412; 967407793; -1; 631834419; 102457246; 92816863; 896499664; 131781773; 310642000; 120434448; -1; 451062249; -1; 738168689; 391841794; 737696795; 537863268; 596978271; 848356414; -1; 101134984; 173784098; -1; -1; 307296361; 599323790; -1; -1; 996565688; 746585735; 208698808; 261559005; 920851102; -1; -1; 325614255; -1; 810089145; -1; 548210817; 847239766; -1; 402506902; 709082624; -1; 622505563; 944053420; -1; 212818436; -1; 774529060; -1; -1; 571027280; 149915925; 459554468; -1; 226558117; -1; 561537964; 394999425; 416263148; -1; 409334748; -1; 281976191; -1; 552331453; -1; -1; 75000247; -1; 252386512; -1; -1; 351227872; -1; 412225914; -1; 666706000; 639004210; 79947418; -1; 247466251; 206175286; 597109845; 288829466; 35785075; 566605873; -1; -1; -1; 803862733; 490999569; 568667599; -1; -1; 19784755; -1; 944664564; 28781692; 449328728; 649796699; 104637533; 71346571; -1; 195502990; -1; -1; 962190462; -1; 113346078; 967334100; 784837505; 838353843; 144128900; 837128747; -1; 774970245; -1; 606532034; 282912348; 183502720; 811204913; 324429034; -1; 107648158; 214099111; -1; 698597944; -1; -1; 2118466; 661713661; 342073406; -1; 337040346; 532420873; -1; 212080460; 565605277; 10832481; -1; 828273469; -1; -1; 728447010; 7391017; 889861123; -1; 197300687; 467052918; -1; 288773203; -1; 885984176; -1; 501859067; 969201229; 609915391; -1; 189794347; 861201702; 690851547; 125789320; 379312834; 563878162; 495729705; -1; 423267177; 530437838; 934339067; 924419462; 253692304; 391081858; 473658262; 164526907; -1; 259755693; 134847617; -1; -1; -1; -1; -1; 489532844; 249716764; 286299736; 587565016; 270569495; 614849523; -1; 807235468; -1; 926571844; 388078090; -1; -1; 62901278; 361844422; 971301548; 211587975; 918994041; 545312038; 378037115; -1; 996667; 674084155; -1; 588044266; -1; 575827705; 550121870; 577992780; 468452715; -1; 860623111; -1; 796771056; 793007399; -1; 273795011; -1; 327187295; -1; 717355504; 490839294; -1; 464967220; 541002230; 596034410; 110156154; -1; -1; 430896414; -1; 685913163; 180677609; -1; 868146535; 39822500; -1; -1; -1; 969860461; -1; 224973376; -1; -1; 82087162; 875380372; 452792155; -1; 241894690; 721405502; 55447273; 428532827; 446773927; 57678223; 458204171; 755937480; -1; 121731327; 661348117; 628167334; -1; 835006939; 569070348; 432000349; 474859351; 180205163; 471621764; -1; 226242098; -1; -1; -1; 440041894; 946964423; 890152187; 672409498; -1; 375499085; 699023867; 498638834; 609626812; 924015100; 885562423; 895224585; 901240987; -1; 353996936; -1; 345680811; 371617306; 396472395; 733046565; 963732882; 768838167; 119427095; 198999035; 305612067; 768356284; -1; -1; 288241440; 689377133; -1; 686205275; -1; 377717215; -1; -1; 983879836; 55239263; 321294768; -1; 619559423; -1; 184592606; 35514380; 236109028; 678409205; -1; -1; -1; -1; 870897289; 590496121; 751696567; 863781390; 296808109; 127272259; 517479409; 417096674; -1; 255776819; 507180966; -1; 86472754; 20826522; 306620495; 333186921; 263799757; 173757370; 376437191; 800153977; -1; -1; 137701379; -1; 710984424; 363643616; 927755798; 204363140; 602556598; 71857333; 329653626; -1; 779229573; 417182601; 473011594; -1; -1; -1; 384509822; 956562295; 683280489; 823293068; 963454426; -1; 229764839; 155511972; -1; 130315895; 639990232; -1; -1; 357470947; 966643450; -1; -1; -1; 577894706; 456526099; 226794740; -1; 493946051; 59907796; 983875928; 399640517; 452427851; -1; 324413662; -1; 150136716; -1; -1; 820757055; 806311968; -1; 546548233; 555467593; 177274125; -1; -1; 285790245; -1; 440864442; 354800304; 11361703; 335889338; 247346468; -1; 61192979; -1; 699197549; -1; -1; -1; -1; 205460142; 119749832; 137073423; 931259379; 522565708; 755747248; 265712413; 408558615; -1; -1; -1; 366887789; 461627664; 284105729; 262712099; 961317979; 554073174; 837014191; 898026267; 387763452; 399150374; 333000450; 537133723; 521483187; 250227012; 47930254; -1; -1; 342616553; -1; 715614130; -1; -1; 587230825; 529207709; 70267631; 299968570; 587622065; 536324019; 941920026; 259680561; -1; 727470842; -1; 620605942; 230886492; 948841597; -1; 69582045; 494684481; -1; 549918620; -1; 148089131; 696393924; -1; 740624582; 938091948; 833977617; -1; 639960438; 266312947; -1; -1; 799804855; 163754486; -1; 639258679; 52462237; 977213314; -1; 994141330; 222274134; 610437050; 723080001; -1; 963620948; -1; 241252276; 359771338; 717175237; -1; 204983738; -1; -1; -1; 736730010; 376625197; 560256860; 869898285; -1; -1; 506562076; 526650629; -1; 393536743; 742308660; 392837073; 308416437; 413038631; 144074645; 25438096; -1; 691372887; 967372686; -1; 200722632; 378870340; -1; 315447236; 249145057; 632846131; 145165865; 887864043; 111379729; 573328165; -1; 629165650; -1; 258859066; -1; 283747684; 407532389; -1; 936611415; 845873509; 42543686; 491804810; 516032106; 536577836; -1; 494470129; 596985259; -1; -1; -1; -1; -1; 775064716; 157185744; 501891021; 787512767; 703260079; 483556316; 482053609; 132274171; 600127021; -1; -1; 280506111; 684472118; -1; 290222281; -1; 85596726; -1; 694374445; 964701157; 293115046; 336793879; -1; -1; 452905649; -1; 985816416; 799919316; 221132474; 158832267; 140094717; 14440290; 562384814; 387349828; 399155850; -1; -1; 406749286; -1; -1; 404485320; -1; 390099664; 656746223; -1; -1; -1; 904024832; 904970051; 318461829; 689002393; 789423660; 940607518; 677436424; 523821197; 673436786; 728585955; 730183004; 294034673; 341407566; 879771071; -1; 21504029; 128963042; -1; 402185548; 710812568; 645764391; 347755451; -1; -1; -1; 975063138; 343920287; 103876487; -1; 179669991; 980166866; 997169465; 519051274; 687195447; -1; 747004990; 955070425; 516096583; 807602941; 43827029; 834790477; -1; 780747805; -1; 260679594; 755121982; 33115896; 944831760; 177553650; -1; -1; 373595819; -1; 755621424; 901772822; 493690918; 198653412; 253939092; 375337549; -1; -1; 43516518; 205812079; -1; -1; 262344510; 893260312; -1; 135249416; 830226220; -1; 961316495; 848561908; 99320969; 424578620; 505322280; 804502040; 10951179; 781370908; -1; 832402249; 740913221; 102905520; -1; 863410535; -1; 834948126; 935705283; 882794720; 51278023; -1; 14717008; 440369282; 444214404; 402665350; -1; -1; -1; 246164775; 516031907; 508576675; 101983924; -1; 507034249; 410453594; 274408166; 231219315; 292837769; 997943241; -1; -1; 688957173; 718177113; -1; 256099065; 908198895; 61255187; 934579510; 166335488; 986693988; -1; 351166196; 531387401; 568222888; 904291612; 143680695; -1; 834121647; 734854090; 467885379; 145605196; 504659138; 301533469; 203729679; 688189693; 168806135; 631215909; 24506492; -1; 550841851; 376392477; 239695839; 251128128; 746255293; 945893984; 299041197; 990911043; -1; 39471331; 915435277; 18610947; -1; 806003158; 267491149; 501697406; 453472503; 312269131; 811192795; 889755977; 158279130; 292092712; 18581145; 11365107; -1; 476680239; -1; -1; 402146002; 602073358; 432423905; -1; 885555816; -1; 789491031; 794487761; 824579897; -1; 780206942; 243974413; 271608751; 932964428; 255214156; -1; -1; 435692290; 866553240; 549972040; 102442710; -1; 737754634; -1; 867514659; 198008798; 430138538; 403567411; 579373149; 8377091; -1; 616219752; -1; -1; 134503815; 672221273; 139206601; 463539338; 449418633; -1; -1; 867070754; 234194948; 773775036; 672507616; 695805295; 318840880; -1; -1; -1; 879030095; -1; 304001413; 724105657; 55496047; -1; -1; -1; 565941881; 568739606; 955795301; 879715702; 373488269; 812020562; 962368107; 302991906; 690222206; 656773108; 602238927; 86868480; 806218697; -1; -1; -1; -1; 820695186; 84528960; 401418047; -1; 579066496; 869725643; 789428336; 272617895; -1; -1; 624378808; 286834098; 187413552; 27563898; -1; 687695162; -1; 855452139; 522924716; 394256372; 982018735; 662145669; -1; -1; -1; 235939038; 626155373; 109121489; -1; 202113561; 281484437; -1; 596901976; 897422854; 235099398; 178722932; 790881264; 502039429; 699444937; -1; 483730685; 870220955; 86453386; -1; -1; 956106072; -1; -1; 797314766; 918887246; 596654625; 961612250; -1; 841187843; 895758627; 97358238; 932524056; 421822381; 468271617; 456064940; 211723180; 580818125; 956727375; -1; -1; 474300373; -1; 127182671; 538623147; 655670763; -1; -1; 524368755; 926503507; -1; -1; -1; 301729519; 943498437; -1; -1; 69514548; 334869615; -1; -1; -1; 913297153; -1; -1; 302934488; 640299726; 811373791; -1; 954204674; 445104640; 959483591; -1; 629154620; -1; -1; 164205354; 35482737; 728253508; 350168603; 128935938; -1; 881904123; 490858813; -1; 282242087; -1; -1; 770330689; -1; 693103980; 423387588; 239560913; 722042105; -1; 657242429; 81517546; -1; -1; 580445954; -1; 880024050; 222395347; -1; 287475063; 482381164; 819047549; 747359498; -1; 622718346; -1; -1; 799543803; -1; 812033404; 361163041; 312221780; 263621608; 659094465; -1; 13688541; -1; 38479918; -1; -1; 60193920; 988372192; 225721817; 561706557; 9248445; -1; 321307659; -1; 918851553; 701191211; 325262304; 690408817; -1; -1; 501801223; 809073066; 81479935; 507072775; -1; 140446483; 716805938; 230773158; 387029011; 456552152; 207391561; 998208082; 4872196; -1; -1; 268672105; 620452104; -1; -1; -1; 790287508; 436925743; 892256410; 360431959; -1; 813386135; 923895820; -1; -1; -1; -1; 143775685; -1; 847826590; 69720792; 383285875; 532239710; 997946904; 816399990; 589138808; 696373084; 481533122; 923441380; -1; -1; -1; 805493877; 429403858; 154018608; -1; -1; -1; 903453230; 62578924; 339770912; 829132505; 976432921; 987385144; 16620343; 724114770; -1; 714924286; 643806735; 16700034; 115452805; 490446290; 301058058; -1; 745534960; -1; -1; 173627972; 759426914; 473123518; 581998326; 772611591; -1; 607429971; -1; -1; 97597838; 555900436; 326719432; 662931084; 226682776; -1; 389789151; 646029493; -1; 369049287; 843839191; -1; 971828814; 662260261; -1; 31434116; 708700466; 195136542; 425516097; -1; -1; -1; 630136591; 94677727; 614555686; 728141828; 549515496; 823964527; 568585115; 881041587; 859316327; 606333958; 829582911; 480322058; -1; 902467931; 556320643; -1; 328525472; 915583728; 423655469; -1; 281320220; 673829228; 403973291; -1; -1; -1; 341271442; -1; 546110180; 853855431; 800855824; 58106232; -1; -1; 709841585; 189902429; -1; 707775519; 471221933; -1; 11147259; 209190466; 760542321; -1; -1; -1; 232426480; 335298320; 345022507; 546439573; -1; 637216266; 706063183; 312975550; 984500096; 960369368; 272111190; 478683526; 930625913; 93790666; 196154381; 119423700; 27792205; -1; -1; 397593104; 600320575; 408675974; -1; 769567154; 655855720; 459758363; 155210110; 820219866; -1; 103811014; 59499619; 271346168; 332505354; 576057912; 75626883; 194028396; 911322217; -1; 35473742; -1; 521179462; 838088085; 87297363; 781637222; -1; 310504915; -1; 8541635; 312898358; 223694080; -1; 628379783; -1; 929781784; 416673239; 909498172; 433054097; -1; 877563689; 360838981; 348928336; 661474471; 319726226; 897356186; 8370613; -1; 910420124; 714849387; -1; 555553344; -1; -1; 44335523; 89275888; 398165285; 717225859; 116453587; 25901773; 408063782; 610919772; 694024028; 840212901; 73044923; 786711378; 615172676; -1; 261152828; 834882685; 807056524; -1; -1; -1; 543304619; -1; 843814764; 652732903; 736688084; -1; 495708159; 391781795; 747224825; 764402197; 182217177; 112032795; -1; 536963245; 620265781; 443791920; 826557514; 715030648; 118815955; 346249542; 165481695; -1; -1; 602084704; 330539161; 39797554; 718086639; 372748260; -1; -1; 398494767; 873441354; -1; 626861068; 826321382; -1; 2791813; 837560701; -1; -1; -1; 792184149; -1; 267310349; 954335850; 974552784; 289668157; 734888686; 221221470; 746020454; 820972420; -1; -1; 671681719; -1; -1; 21675192; -1; -1; 902713640; -1; -1; 992400968; 206413405; 585377923; -1; -1; -1; 358282223; 386661604; 468726730; 595708768; -1; 96816203; 482898719; -1; 466266167; 563901128; 717212163; 473238027; -1; 587105331; 553746805; 878781803; 661190252; -1; 850413024; 136692319; -1; -1; 659412666; 383178823; 634141559; 952145572; 381669873; -1; -1; 27447759; 174749488; -1; -1; -1; 17896659; 584568418; 592966997; 499288786; -1; 452844509; -1; -1; 768026957; 78792102; 593797240; -1; 435364892; 134817665; -1; 958614131; -1; -1; -1; 30665059; 596957705; 987463588; -1; 614656345; 732373647; -1; 188480351; 62700765; 505847592; 11731875; -1; 169560349; 66879616; 807251490; 182874508; -1; 883678030; 612256927; 359375148; 123718374; -1; 898676284; -1; 232955899; 115180182; -1; -1; 328577228; 889911646; 372877900; 656996967; 381608985; 29187817; -1; 735212459; 415122273; 738089151; 839579709; 949035300; 295875238; 182959178; 530023177; 451632620; 499439492; 176413068; 341428308; 150890542; 458946220; -1; -1; -1; 867295132; 404698984; 492631843; 677334748; 98534090; 839114776; -1; 914134438; -1; 936701594; 176314863; 818959399; 21325649; 925654345; 392091728; 955283556; 707395421; -1; 355691125; 978160902; 517375355; 729664269; 222941820; 675105412; 606830412; -1; 107617914; 219357138; 873569310; 773072896; 268239222; 976935734; 996148944; 826068595; 674685332; 701498981; -1; 694257904; 519461373; 52374828; 336478311; 268248314; 326292966; 910704023; 489948051; 90233638; 441024326; 879915702; 790462032; 316786685; -1; 125531834; 824202870; 934022769; -1; -1; -1; 343526959; 440088259; 572430341; 48145751; 341068426; -1; -1; 543858747; 434631628; -1; 310341473; 605278433; -1; 953319055; 553670650; -1; -1; 199934294; 357820270; 865810795; 984404352; 561736854; 391548913; 90576368; 725023205; 12320276; -1; 819936460; 317176759; -1; 574695918; 583856670; 337123468; -1; -1; 547231843; -1; -1; 918616142; 820438760; 156931573; 681416799; 147396937; 586250733; 220542736; -1; -1; 639791508; 662183241; -1; 467803746; 152987626; 955215245; 141648143; 938510446; 974197264; 94570637; 991325784; -1; 454191726; 411186011; -1; 465367575; 347080288; -1; 432611895; 531909358; -1; 290546185; -1; 665872378; 283306603; -1; 322467410; 979679932; -1; -1; 115048684; -1; 473782132; 273428825; 525335621; 222163901; 40565044; 201646912; 436772393; -1; -1; 805269362; 164692873; 651746845; 312078266; -1; -1; -1; -1; -1; 682459411; 311402327; 776124635; 429261802; 577759952; -1; -1; -1; -1; 456549093; -1; 22058410; -1; -1; 393595958; 661234040; 534747120; 868095190; 370961477; -1; 5947995; 774604923; 896557090; 163675605; 318206137; 884976639; -1; -1; 912343375; 582133445; -1; 508117484; 547658634; -1; 560304367; 464779838; 457278694; 540483156; 146538474; -1; 166997775; 99927406; 292173888; 830672381; 552655527; -1; 321618331; -1; -1; 662235218; 429503140; 204815982; 251302933; 902614144; -1; 709900812; 853948400; -1; 518364594; 387770629; 227583170; -1; -1; 206251820; 197377129; 735325644; 575609416; 888536509; 666803248; 287273101; 722464039; 170858065; 689950387; -1; 88073280; -1; -1; 450429190; -1; 722282212; 550385292; 319485023; 810538037; 828846291; 573855321; 58617309; -1; 425544182; 877937676; 987142742; 403923427; 718064078; 747784550; 754185130; -1; 425143764; -1; -1; 935362677; -1; 67887793; 302939348; -1; -1; 55338833; -1; 673170696; 78874569; 548260760; 332605907; 738018314; 466130225; 560808088; 606941561; 482123226; 274542691; 341793180; 466503815; 105569440; -1; -1; 795902137; -1; -1; 794487242; 876081982; 106329115; -1; 937747592; 605923223; 261307226; 860034646; 55167986; 216204085; -1; 620150812; 398135971; 443103893; -1; 823016833; -1; -1; -1; -1; 820346350; 915352003; 359568924; 339572165; 233147084; -1; -1; 429865711; 51305330; 925786902; -1; 994542202; 354577998; -1; -1; 217841808; 765097682; 466555008; 580632682; 875971942; 48254498; -1; 58981022; 820326368; -1; 657478004; 459569509; 272011138; 95253777; 820931550; 923780258; 405821027; -1; -1; 304476223; 308801123; -1; 172258338; 151551880; 612817248; 453106565; 620073110; 234556774; 617569267; -1; 638096972; 107742836; 652324068; 345068048; 302739661; -1; 490193217; 43512421; 67675813; -1; 561267853; -1; -1; 473779597; -1; 613719556; 220243339; -1; 710854235; -1; 282389867; 35526815; 303860936; 818696147; 329234810; 226725175; 147814136; 969502489; -1; 659942433; -1; -1; -1; 325168771; -1; -1; -1; 403262272; 344589019; -1; -1; 484539910; -1; -1; 987395291; 990153148; -1; 963508475; 87778314; 166400004; 193067122; 917309401; 673523834; 669904613; 77282399; 83353863; 938063729; 542396370; 191190139; 132248695; -1; -1; 325245823; 854572463; 763278961; 765906637; 252097215; -1; 802813527; 439739611; 737125501; -1; -1; 902069112; 781282341; 405740618; -1; -1; -1; -1; 165733698; -1; 769726300; 187561651; -1; -1; 754755233; -1; 974246305; -1; 526148823; 569463189; 437086983; -1; 720658252; 197326333; -1; -1; 325494443; 116476882; 150794799; 47566126; 751139264; -1; -1; 853906574; 558606769; -1; -1; 677369776; 309835571; 97622394; 485454776; 287884031; -1; 80870804; 705054089; 521510271; 299032285; 786864779; 596050175; 61107018; -1; 156935942; 503193779; 246828587; 687882879; 405566685; -1; 816518713; 519623726; -1; 554787106; 788244702; 10780779; 937496977; 480967712; -1; -1; -1; 494579979; 891650420; 355500845; 636377356; -1; 210814313; 248355218; -1; -1; 860942745; 839643295; 56392533; -1; -1; 789744552; 508012260; 253531725; -1; -1; 157176838; -1; -1; 287448239; 14121935; -1; 131439068; 788236886; 379110769; 121547072; 76112502; 82526928; -1; -1; -1; 969714166; 499980107; -1; 614059254; -1; 187578503; -1; 595206853; 867619745; 781518852; 126889744; 534717497; -1; -1; 696959689; 643205453; 637520053; 994207676; 798349560; 221406611; 18975276; 344962451; 355125279; -1; 323520341; 869782287; 465787875; 373764654; 390553011; -1; -1; 971260600; 415133631; 115774855; 508693714; 245386059; -1; 579275795; 455651802; -1; -1; -1; 607950028; -1; -1; 775574200; -1; -1; 687543031; -1; 146673675; 483324891; 966592110; 603416509; 110994968; 442585875; -1; 424203040; -1; 537272482; 306548114; 763091413; -1; 531121203; 890793801; 368936012; -1; -1; 244299609; 717103908; -1; -1; -1; 436217735; 77284967; 476964126; 23142694; -1; 545411945; 123323286; 452354651; 622140529; 782294928; 153523576; 221742542; 715339968; -1; 761200866; 95389383; 834100612; 340653547; -1; 185935157; 274658770; -1; 330653255; 349970519; -1; -1; -1; -1; 150652244; 311097200; 394832186; 593724551; -1; 935012779; 604889431; -1; 953408728; -1; -1; 487827654; -1; -1; 793123764; 400222637; 882946334; 845465516; 811851905; 969040805; 306779607; -1; 445817166; 521411136; 72934620; 191215469; 529819487; 805130085; -1; -1; 403302201; 454308882; -1; -1; 88257734; 515703872; -1; 235903081; 965842475; 52432532; -1; 4535387; 258126989; 913390503; -1; 914992877; 265295590; 817196157; 455488981; 181798522; -1; 545938559; -1; 194733815; 428615857; 49072973; 448778693; -1; 525688296; 857560764; 724099965; -1; 856505076; 295003457; -1; -1; -1; -1; 400903205; 27931452; 414867452; 647825402; 160538491; 557167514; 606586540; 975194829; -1; -1; 607148490; -1; 714874152; 41032504; 637257083; 631672448; 555355043; -1; -1; 127392035; 580652498; 442350895; 156540175; -1; -1; 140988104; -1; 455124374; -1; 232931710; 461902828; 561597392; -1; 534591216; -1; 244205232; 556030951; 110281574; -1; 575818252; 873531604; 892156429; -1; -1; -1; -1; -1; 4972968; -1; 282042905; 461549933; -1; -1; 778666397; 811058684; 338142332; -1; 906450737; 79264262; 798026816; 997181881; -1; -1; 135346820; 826648625; 952705707; 324209932; 228005534; -1; -1; 297661131; -1; -1; 20841281; 831816263; 725040627; -1; 706788014; 787000670; 509545789; 716303861; -1; 445836809; 421505871; -1; 806970757; -1; 115602173; -1; 443410460; 401011144; -1; -1; 342278946; 751543952; 196310028; 792475388; 480481055; 858558768; 122791063; 737098571; 146076157; 136430584; -1; 236891601; -1; 72150896; 797610361; 290305545; 37685576; 30411459; 278126738; 731349646; 341275698; 397499800; -1; -1; 61793177; 571976152; -1; -1; 268812268; 89783496; 211043038; 606190101; 539117598; -1; 488929071; 547547392; 896164215; -1; 140834402; -1; 184037476; 262411213; 486373950; 873945275; 843170086; -1; 754968639; -1; -1; -1; 484705824; -1; 154966195; 16891149; -1; -1; 783621742; 579771369; 401087405; 566009837; 379737402; 567318654; 476427141; 74470141; 945906463; 696617756; 597045425; 593260941; 87759731; 633578010; 439022481; -1; 764809726; 802305075; -1; 6880708; 575062497; 782418962; 827603140; 180252385; 397359142; 773129379; 141893379; 676608528; 148482507; 679408444; 416982381; -1; 172665612; 510126740; 154309852; -1; 365761850; 949463547; 332260321; 819625907; 955877820; 845493970; 719620929; -1; 63986534; 578697682; 506282005; -1; -1; -1; -1; 656829568; 749555097; -1; 494386567; 437783025; 975151981; -1; 994221503; 890179063; 940076034; 213058750; -1; 920199918; -1; 464385070; 945316049; -1; 618441236; 861641295; 563816419; 708849411; -1; 733730616; 876606835; 624805815; 249026344; 606395361; 566127795; -1; 517951756; 901903651; 793706152; -1; -1; -1; -1; 701892212; -1; -1; 534153611; 833399794; 875137587; -1; 794605129; -1; 925534121; -1; -1; 996811652; 884480430; 558181825; 79144425; -1; -1; 503945663; 161361241; 663550880; 216372612; 611796642; -1; 914463019; 185938233; 317570841; 766959460; 304205793; -1; 221047652; 591676945; 879929010; 293841855; -1; -1; 64592963; -1; 25721251; 543263829; 220028273; 709202029; 177111478; 956750204; 741826646; -1; 24460581; 477395552; 854555642; -1; 359882119; 239177359; 577195795; -1; 330132961; -1; 569573244; 545963899; -1; 340978270; 837325637; 332078119; -1; 914466463; 855993879; 429010447; 235034830; 6310362; -1; -1; -1; 711064109; -1; 635389551; 828015626; 973870674; 545823813; 652192685; 740486659; 127837970; 867710810; 528368432; 321400321; -1; 220533409; -1; 372685870; -1; 590106925; 988023159; -1; -1; 785433442; -1; -1; 977118554; 840647845; 884058870; -1; -1; -1; 178030222; 846861689; 994446254; 834256959; -1; 67947291; 753549588; 82360584; 595052742; 87958225; 685873876; 255485188; 177529198; -1; 150922814; -1; -1; 255786323; -1; 927178817; -1; 230764769; 912091652; 763745732; -1; 433752498; 168424807; -1; 947258311; 400390423; 618590619; -1; -1; 914197341; -1; 403490732; 72456774; 460424973; -1; 830973339; 663277660; -1; -1; -1; 372588830; -1; -1; 185458659; -1; -1; -1; -1; 754572743; 284459817; 252617247; -1; 974658824; -1; 877116181; 102112508; 96030326; -1; -1; 765539051; -1; 11070207; 164446351; 658365360; -1; 701127459; -1; 164433036; 61377005; 919306304; 360133687; 967826225; 731304602; -1; 658561487; 913417329; -1; -1; -1; -1; 543991168; 351692246; -1; 151931641; 333011292; -1; 564287338; -1; 951484597; -1; -1; -1; 196837290; 809147198; 55439878; -1; 242656445; -1; 790259904; 38207213; 870262877; 655151110; 474940776; -1; 348256402; -1; 519907817; -1; 178226574; 218848923; 444453463; 998355928; -1; 423966636; 344247359; 479697662; -1; -1; 647504394; 404864391; 619739338; 547585285; -1; -1; -1; -1; -1; -1; 854919648; -1; 751781502; -1; 225452385; 864423192; 23458162; 283247883; -1; -1; -1; -1; 517129871; 940202349; -1; -1; 26737112; 444163373; 18183489; 56164056; 13581006; 661893759; -1; -1; -1; 632965659; -1; 855423791; 281775856; 986295274; -1; 305610532; -1; 306940923; 579065412; 371577551; 637350303; 766796123; 628161033; -1; -1; 152554974; 592953486; 658644134; 358301847; 738124051; -1; 304828282; 567446118; 47114315; 241265944; 117525629; 773572477; -1; -1; 664624628; -1; 962834403; 183832717; 230937547; 380919565; 489776875; 87212762; 765076035; 95190444; 573246940; -1; 252720914; 87381751; 343117042; -1; 955121156; 442923147; -1; -1; 219093478; 107671021; 590973540; 958386381; 514206463; 981335077; 139046515; 69491460; 697285592; -1; 910944316; 224314840; 270590399; 911786378; -1; 589028755; -1; 950517210; 563377367; 597291962; 154720899; -1; -1; -1; 697288361; -1; -1; 747900670; 150345581; 481402912; 275375530; 599217624; 908368255; -1; -1; 431371863; 252060279; 877008136; 443979534; 584679156; -1; 235959469; 730190544; 287701944; 886113210; 663910242; -1; 862693717; 176544613; 768927730; -1; 919459812; 697604631; 776626473; 130558862; -1; 723872303; 295839906; 666398510; 103077501; 795649893; 193488583; -1; 299669541; 570873679; -1; 298003382; 379532777; 721653743; -1; 498741543; 276320357; 466923820; 349630100; 390220906; 613360913; 677217365; 410874226; 121614047; 771695995; 106019725; 52469243; -1; 68597930; 983855798; -1; 643796750; 625455763; 144651175; 22148545; 224228138; -1; 530840382; -1; -1; 79599078; 524025279; -1; 844134600; 649103255; -1; 101879427; 136201663; 406025921; 299539204; 372278303; 327410097; 193578283; 859155700; -1; 17671062; -1; 773242236; 263952895; 893347845; 820154762; 36148377; 501817979; -1; 552606213; 296155002; 185508371; 866717094; -1; 453494696; 184270662; 594983747; -1; 97060621; 119776962; 221781936; 652027212; 317440802; 885531304; 286399607; -1; -1; 143530275; 592544306; -1; -1; 714803416; -1; -1; 734964235; -1; 539510310; 779914295; 430510835; 634719392; 58456380; 47079620; -1; 267072647; 389468145; 982098055; 284786832; -1; 19461430; 653472911; -1; -1; 580085454; 39632486; 533640165; 997964362; 938694963; 504114817; -1; 702707885; 961545827; 431810528; 33632202; -1; 346005229; 437347244; 700740789; 727249049; 38259444; 840442607; -1; 28029516; 454629428; 678270812; 394488543; 550934640; 745317511; 942929880; 358289064; 589404619; 409562953; 999472870; 197682096; 403886638; 722910833; 349192208; 148055697; 289845622; 95149221; -1; -1; 448120122; -1; -1; -1; 20114499; -1; 724196169; 360138675; 584649526; -1; 229609058; 716847718; 380604301; -1; 450942589; 343464262; -1; -1; 114062829; 425341902; 754139979; 710148508; 833137466; 428254050; 286754324; 86267350; -1; 29218734; 597356932; 940462108; 467610974; 442988538; -1; -1; 938757482; 877824592; -1; -1; 735875944; 409060695; -1; -1; 565954012; 235628961; 702168058; 416953391; 976477562; 867923041; 626766659; 127477195; 459007052; -1; 247765428; 346423755; 539620120; 603006587; 387279142; 115407303; 233409817; 234874072; -1; 345109485; 628606041; 250298291; 838540955; 120173771; 445767364; -1; 882972406; -1; 600691251; -1; 695850210; 261861728; -1; -1; 756746333; 822702784; -1; 349671938; 815779817; 119900758; 51016325; 793093881; -1; 900754224; 626966322; 673417490; -1; 365921852; 730662947; 84687956; -1; 486406940; 787969402; 132254684; 860811716; -1; 822851729; 516463944; -1; 141978194; 447633581; 578565773; -1; -1; 352486929; 765645261; -1; -1; 732022051; -1; 17602051; -1; 429672818; -1; 731161529; 349458405; 863898518; -1; 899071457; 353914723; 937985681; -1; -1; 437999607; 444345302; 487431242; 416235936; 169070507; 917716733; 860193870; -1; 64258855; 52407352; 763280375; 909647463; 68147280; -1; -1; 734448390; 277306170; 58605798; 163519354; 471166152; 60366876; 134104104; 815516137; -1; -1; 334735963; 415157167; 779427421; 849512083; 957073336; 817050682; 459670068; 909872406; 244436375; 247928815; -1; 872426488; -1; -1; 431740987; 767942005; 135082390; 123615956; 899534311; 509936933; 536202976; 987861688; 491268776; -1; -1; -1; 905830321; 705827701; 220873934; -1; 710483160; -1; 368527905; -1; -1; -1; -1; 250017508; 441165173; -1; -1; -1; 358111446; 174197542; 863111962; 81619139; 403726138; 753459038; 254327746; 182783415; -1; 379485296; -1; 190435171; 373607090; -1; -1; 998102432; -1; -1; 276901506; 956314186; -1; 897208510; 570183169; 677157214; 229487251; 636296475; 30949494; 517674006; 79625477; 753397358; -1; 972240312; 634344151; 153432816; 988416269; 674752561; -1; 323797856; -1; -1; 886100858; 887186661; 989494140; 287718749; 582289363; 570805731; 144836185; 175484267; -1; -1; -1; 592360684; 60066032; 433543205; 879675814; -1; 655714737; 797315555; 445248908; 60728721; 754988148; -1; -1; -1; 721450484; 635016350; -1; 794189283; 952636205; -1; 783124689; -1; -1; 210721965; 833035827; -1; -1; 455688277; -1; -1; -1; -1; 905463804; -1; -1; 60687853; 211881197; -1; 557704754; 109729815; 46815846; -1; 194384391; 282121616; 549257144; 692755803; -1; 411367508; -1; 464504880; -1; -1; -1; 168263274; 722248931; 325244414; 287510524; 901071023; 268865106; 686002469; -1; 749343959; 457270177; 646440882; -1; 220577698; 414107624; 166416856; -1; 438685500; 279016196; 809704368; -1; 399609231; -1; -1; 78499158; 857421368; 567950995; -1; 990701143; 354145936; 591873392; 923276960; 129879295; -1; 238920795; 639203404; -1; -1; 921212910; 638246975; 706937772; 900097702; 4105357; -1; -1; 521610142; 185465645; -1; 115749747; 597804335; -1; 495151339; 316289108; 925024406; 927272689; 856214341; 838932968; -1; 173102554; 710162744; -1; 944129972; 814133467; -1; 601284257; -1; 209153160; -1; -1; -1; 688372877; -1; 879406650; -1; 686486584; 195849846; -1; -1; 927376801; 386221292; -1; 118848927; 149954755; 896737635; 773877963; 481022103; 188799772; 323297134; 180081664; 113555814; -1; 124709774; -1; 997292422; -1; 557392510; -1; 871369971; 517639603; 704307466; 573613531; 572048797; 501812941; 401642346; 659692315; 298680868; 533596169; 687532375; -1; 687457632; -1; -1; 631096891; 208596102; -1; 207885328; 590984406; -1; -1; 174544104; 139219791; 580109452; 44912421; 258113092; 84726326; 890077411; 224126732; 292130555; -1; 972001541; 736994535; 351773530; 759019828; 705590823; -1; -1; -1; 414310044; 534213558; 879952561; 391554570; -1; -1; 401823070; 163462272; -1; -1; 768790782; -1; -1; -1; -1; 211434530; 11802695; 57600403; 510734733; 911501604; 229280561; -1; -1; 23063408; 240680132; 805649294; 296620167; 547491221; 212206273; 768462325; 261197204; 16298278; 871696534; -1; 840833298; -1; 856910729; 239197504; -1; -1; -1; -1; 135704086; 840224366; 296942439; 706913683; 317093950; -1; 294320272; 186063724; 940744835; 733359096; -1; -1; 588611868; 732511006; 838433695; 431964492; 152114383; 262457721; 937201316; 731407429; 190598580; 31486043; -1; 331610484; 838669387; 158680019; 101601002; 288197424; -1; 944518625; 6184753; 121322939; 712549788; 883592328; 904434238; 964709640; -1; 338487050; 570501244; 88824784; -1; 108401189; 882357707; 4471; 392316783; -1; 372216768; 801883031; 409829614; -1; -1; 895347255; 823667333; -1; -1; 769900545; -1; -1; -1; -1; 982856186; -1; 61983302; 229573947; 859308281; 188482345; 93782702; 268144633; 36161986; 767490743; 645675782; 476851331; -1; 45811852; 146830603; -1; -1; 334415323; 17519004; -1; 877872198; -1; -1; -1; 352388602; -1; 659982293; -1; 888190487; 327659970; 243657167; 84152109; -1; 651709618; 139842727; 324961151; 343805957; 993595765; -1; 896752492; 286382109; 799143204; -1; 934973182; 340605083; 422519630; -1; 810307019; 227181742; 636010376; 482127698; 923551535; 465763821; 121507611; 956377072; 877688365; 49126363; 664844297; -1; 427913283; 421485094; -1; -1; 145621301; 676429726; -1; -1; 368343962; 521391374; 694895390; 876891042; 214149915; 568690244; 59666033; -1; 44944574; 806989538; -1; 880976856; -1; 560222882; -1; 678929458; -1; 681801551; 419173545; -1; 638319349; -1; 659560724; 700688176; 138955442; 999459926; 868819319; 83499979; 755270723; 430682761; 304743272; 627075514; 697540912; 603343700; 845963378; -1; 450240241; -1; -1; 775934092; 327487813; 430667198; 348708211; 686144164; 471574703; 356549322; -1; 556812143; 461954058; 524190818; -1; 43664833; -1; -1; -1; 408749521; 288305391; 834680009; -1; 780962966; -1; 634140207; 352457774; 152260111; -1; -1; 183100663; -1; 62103998; 735954262; 841743382; -1; -1; 399721767; -1; 363415041; 659142191; 887255371; 638476131; -1; 829970596; 495426638; -1; 263878819; 26256958; -1; 961780942; -1; -1; 874245411; -1; 872759710; -1; -1; 822545448; -1; -1; 879037813; 301753441; 821972310; 446347072; -1; -1; -1; 763222143; 772378397; 382742860; 99169101; 271732991; -1; -1; 936330800; -1; 268644356; -1; 979144874; 248643388; 564797261; 235761340; 595157178; 856011801; -1; 103075301; 462104383; 921897252; 755351965; 938503753; 3318497; 265527948; -1; 78992868; 15332063; 610347027; -1; 643671803; 655569991; 814426437; 797578991; 158319917; 595789812; -1; 801769810; 268078109; -1; -1; -1; 84031725; 507943646; -1; 948301412; -1; -1; 173342629; 16657881; 333215206; 233866643; -1; 563981898; 44461761; 289711107; -1; 865909654; -1; 540536516; -1; -1; 200154726; 892487746; -1; -1; 857152709; -1; -1; -1; 612196922; -1; 747240095; 802612885; 674756410; -1; 742927253; 711887577; 476240047; 540468798; 329438545; 265058358; -1; 242810908; 898551980; 890049364; -1; 220363714; 615157294; 803722074; 977074245; 347533661; 156544452; 959974935; 417013284; 278738004; 493988634; -1; 398202377; 271362477; 399219396; 382650670; -1; 150313430; 216675817; 884514551; 490578068; 751692853; 901373443; -1; -1; -1; -1; 560715070; -1; 739488186; 485978752; 23637687; 76573810; 634744268; 205256657; 252916552; 693754491; -1; 108456430; -1; 972933044; 91878313; 261082556; 537201373; 237604671; -1; 597650536; 130208839; 997774644; 218847114; -1; 475826379; 499940700; 835036729; 463918474; 360996698; 421023754; 122677567; -1; -1; 472121712; 429411680; -1; 987745964; 932962433; 521303473; 788128634; 931482634; 398257929; -1; -1; -1; -1; 254994737; 385796173; 4049427; 463512916; 893572453; 314184942; 919577972; 465498394; 694646879; -1; -1; 361757824; -1; 382364514; 648305242; 774378250; -1; 10475610; 898765677; -1; 196077894; 53108236; 343940910; 806825406; 866969568; -1; -1; -1; 693472176; 371565218; 827823123; -1; -1; 590245721; 240683434; 217777228; -1; 630952094; 721070347; -1; 678916226; -1; -1; 33491709; -1; 541509552; -1; 988393846; -1; -1; 950061132; 922818375; -1; 27082648; 361501717; 897014440; -1; -1; 70888802; 714440778; 731273639; -1; 370916092; 92711809; 311420464; 693691664; 934524521; -1; -1; -1; 954598126; 981570118; -1; -1; 596835233; 430581422; 942982593; -1; 448356644; 597665227; -1; 866144780; 345549440; 243538847; 72456928; 53479445; -1; 938744790; -1; 740372780; 526908342; 760585673; 563068763; 435899516; 882388915; -1; 657010665; -1; 345500689; 569395461; 822132162; -1; 600667829; 995244635; 460185844; 398694569; -1; -1; 946197078; 991020931; 165549725; -1; 760933107; -1; 240785125; -1; -1; -1; 550853152; 21111259; 529535975; -1; 265152120; 187950449; -1; -1; 716197942; 280328669; 800808483; -1; 993287630; -1; 121647348; 386077508; 428823733; 186099443; -1; 545537454; 48707908; 164825860; 502055988; 419732201; 299507841; -1; 775024575; 151311299; 386939119; 454804334; 891180722; 865705396; 894016507; 583335614; 340209989; 874565325; 372908700; 989060763; 433851954; 534228658; 580622531; -1; 705103312; 360514499; 795305879; -1; -1; -1; 845630379; -1; 824125703; -1; 579205546; 627811250; 841384240; 778093522; 64807538; -1; 419083128; 326084399; 598670901; 241969631; -1; 643318582; -1; -1; 541651739; -1; 225163538; 900343541; -1; -1; 479129846; 662445417; 670858545; 557410145; -1; 574493301; 22825741; -1; 587297242; 778373161; 448671870; 62558639; -1; -1; 239827303; 143308058; 828524832; 495010634; 710801766; 702953180; 764600247; 899184703; 359838659; 123614369; -1; -1; 662138348; 454158925; 807758285; -1; 697991324; 932015551; 323201441; 820131574; -1; -1; 938509458; -1; 592867374; 998096991; 141690691; 452279072; 925481752; 655888798; -1; 76072700; 615600324; 803717219; 473917791; -1; 566340433; 141767517; 488756524; -1; 512915445; 288522365; 538169353; 22778247; 994363256; 226568155; 392531345; 154384365; 897939025; -1; -1; -1; 209338; 969696998; 259293046; 17233557; 535012525; 325157629; -1; 891153517; 58785539; -1; 291603762; 166172251; 928688840; 188926582; -1; 641735025; 331171805; 266223770; 486904219; 587905654; 165102632; 223830190; -1; 886296517; -1; 220605460; -1; 64954079; -1; 634879576; -1; 128203445; 103482398; 693883262; -1; 323566713; -1; 33323581; 96794577; -1; -1; -1; 357057246; -1; 54893915; 926055882; 446234472; 292261263; 637239659; -1; -1; 853468766; 160189183; 769082820; -1; -1; 329471883; 491950502; 744323361; -1; 241819030; 581608086; 817169396; 432002794; 396733282; 579299141; 550648480; 221195913; 639670297; -1; -1; -1; 865926713; 126222748; -1; 756654773; 204252023; 865024477; 876830629; 333582167; 484793015; 808955598; 632381636; 44384806; -1; -1; -1; -1; 667264209; -1; 978899466; 594648309; 567042656; -1; 704744323; -1; 635808555; 647853006; -1; 225812397; 53405398; -1; 97764132; 473694500; 972153046; -1; 867361640; -1; -1; -1; 45808439; 174987845; 947931143; 428509496; -1; 907294880; 725521475; 789620921; 803918854; -1; -1; -1; 300502734; 544090956; 590921643; 688801885; 773556352; 743212676; 310573290; -1; -1; 385826467; -1; 198968220; 2895824; 125213792; -1; 564054423; 311971000; -1; 358655032; 197420818; 551332135; -1; 472161802; 911448591; 520591547; 622235835; 835706253; 41269925; -1; -1; 81505853; 402465728; 673330985; 7182579; 213269385; 429797363; -1; 690624207; 372827796; 244672999; 730479661; 978331759; 778022848; 166918643; 376222720; -1; 356299348; 931957840; 512092128; -1; -1; 81222757; -1; 604337380; 594853665; 237543311; -1; -1; 740955553; 142883201; 612113612; 784564548; 917443859; 125151834; -1; -1; -1; -1; 807776501; -1; 622160061; 246748729; -1; 782182087; 24028393; 572609626; -1; 745933300; 705829585; 243204957; -1; 720883489; 918699111; -1; -1; -1; -1; 371600176; 361824319; 79094075; 837626613; -1; 492705614; 262762701; 177339110; 699712563; -1; 750014457; 15533253; 482371723; 652093859; 747124185; 856575761; 562609712; 556708522; 846142187; 784071347; 880737596; 336846410; 300833487; 524789451; -1; 743101973; -1; -1; 94813131; 957243977; -1; 888932889; 724286079; 46366301; 118015823; -1; 248539384; -1; -1; 317648191; 149495577; 923218820; -1; 996028898; 750637235; -1; -1; -1; -1; -1; 827046836; 201849734; 964887401; -1; -1; -1; 253926065; -1; 756464183; -1; 536020637; 428246740; 172253504; 743609973; -1; -1; 352863751; 795976400; 362007922; 256631148; 883608452; -1; 167161097; 965037321; -1; -1; 262830153; -1; 398164493; -1; 850268775; 515636501; 914460059; -1; 771855382; 209673010; -1; 402176910; 556412552; 985572927; 547113422; 721035550; 906839460; 324026903; 561165642; 673566798; 187145108; -1; 23945611; 278151973; 463323515; 548683714; -1; 865887255; -1; 501566018; 510534010; 229240767; -1; 448435497; 269897417; 515624244; 511736639; -1; -1; 360595364; 891762487; 852904501; 538209826; 175357546; -1; 390392575; 252391333; 264765800; 701966949; 985543798; -1; 45207680; -1; -1; -1; -1; 141082329; 466278060; 42242278; 405020597; 611852785; 143285899; 99535294; -1; -1; 70371036; 420232516; 56829455; -1; 676664108; 776960214; 747577245; 754238949; 336027924; 13791118; 138039482; -1; 693243376; -1; 112529711; 31025829; 166598856; -1; 164882209; -1; 329897462; 904876714; -1; 284112015; -1; 819526741; 595100478; 466234; 216283338; 627002620; -1; -1; 934740954; -1; -1; 339185761; 895738374; -1; -1; 875537049; 329019505; -1; 945342817; 481773022; 952900778; 495068165; -1; -1; -1; 131905927; -1; 544703582; 131713720; -1; -1; 84739710; 487431138; -1; 854678337; 161349894; 435828937; -1; 759705535; 25185437; -1; -1; -1; -1; 575508728; 245177767; 525945078; 536265471; -1; 914925797; 192751466; -1; 620225952; -1; 857049655; 231717950; 169293685; 191515010; 575861325; 756846859; 464685886; -1; 559806353; 567286743; 558903236; -1; -1; 191654232; 320702270; -1; -1; -1; -1; 843097334; 175876148; -1; 434115072; 939228410; 603987812; 938598394; -1; -1; 375124618; -1; 852650874; 406776891; 494246956; 368675154; -1; 744070457; -1; -1; 733008318; -1; 839730557; -1; 498724759; 583479038; 240015284; 821983929; -1; 365015189; 3678874; 721924711; -1; 656382059; 716683340; 959266539; 989887714; 932176682; 145919388; -1; 211725709; 342032672; 639139054; 910355895; 44764036; 393764203; 99101673; 761985919; 949014474; 586445119; 959335637; 332351815; 580607402; 675084865; -1; -1; 480054839; 111572361; 664271004; 632365156; -1; 420008798; 829738396; 932404874; 135536883; -1; 494673101; -1; 312578047; 517209501; 968990105; -1; 833258691; 19043665; 196786548; 687652704; 81181472; -1; 383158932; 567764728; 116430642; -1; 647702539; 851229436; 170698418; 616259188; 223889068; 506365703; 408733254; 670171809; 586352463; 806604765; -1; 498702682; 150933426; 840176337; 808863921; 80657514; 493496846; -1; 97883052; 155863486; 734261092; -1; 86337367; -1; 290495440; 387221197; 936872474; 624104480; 459733352; -1; 894246668; -1; 857623208; 384987674; 706896155; 439188261; 625694535; 758952300; 53747934; -1; 67959642; -1; 943243636; 782345921; 504454999; 138584754; -1; 730182769; -1; 813055497; 575423855; 820884772; 249094939; 418294987; 841757396; 972276708; 133555458; -1; 302598878; 652425775; 774011766; 71455880; 236138876; 163686526; -1; -1; 60504394; 60462915; -1; 884356206; 166310577; 318797494; 788671440; -1; -1; -1; -1; 154279857; -1; 581590634; 411568436; 284931141; 801898964; -1; 55603354; 457748066; 120407011; -1; 415694100; 984124940; 143321207; 988749891; 209401744; -1; 379475238; 528063860; 134384315; 302113482; -1; 524248269; 878741687; 603875819; -1; 410055043; 549409911; 778817429; 414274408; 453055482; -1; -1; -1; 731984899; 455724197; 338600117; 726309013; 926872420; 956313677; -1; 780127304; -1; 331201960; 491236698; 445680688; 396254458; 190420069; 60859336; 245806375; -1; 965543724; -1; 680892157; -1; 770485048; -1; -1; -1; 275645137; 578314298; 867804707; 557516140; -1; 471134402; 286098922; -1; -1; -1; 951616076; 116211590; 517452476; -1; 411765481; 880890047; 191439381; 291467313; -1; -1; -1; 646430363; 79700859; 436607389; 686741919; 735916556; -1; 963815737; 337279648; -1; 603142519; 389782652; 621581558; 436396781; 632321985; 48670336; 774354569; 277687201; 331719406; -1; -1; 735628834; 137565670; -1; -1; 830891158; 505425756; 30112287; 126306372; 427668072; -1; 631554810; -1; -1; 750079265; -1; -1; 385217695; 455020310; -1; 238526352; -1; 913571430; 465335584; -1; -1; -1; -1; 701406933; 421057982; 768015165; -1; 576982900; 229348438; 741077216; 203191159; -1; 150991075; 132013838; -1; 334447242; 897237644; -1; 806963582; -1; -1; 739812486; -1; 177648268; 805052780; 261488742; -1; 564555386; 393759504; 680658955; 805469747; -1; 936242562; 438560861; 689905949; 678104402; 926435462; -1; 330906863; 913322366; 940774803; 188249278; 601496279; 304353368; -1; 491070008; 968181473; 584911259; 722674727; 298252654; 109591238; 52923225; -1; -1; -1; -1; 328266235; 319820249; 67999660; 481404197; 822133431; 975554230; -1; 803223672; 906285306; 881597108; 332571427; 789708797; 178340955; 11679895; 10622164; 963791956; 407117644; 315743137; -1; 938852555; 811309666; -1; 753782045; 573536847; 40033016; -1; 283671885; -1; 669002447; 233337897; 100395284; 548718545; 945361342; 206508102; 194124118; 732138499; -1; 389219005; 31327578; 948074437; 102130883; 273363378; 614709167; 714720604; -1; -1; 4493182; 141183588; 461232898; 130604997; 791832780; 143459723; -1; 527710383; 406452997; 272340197; -1; -1; 996586717; -1; 276182919; 268498365; 891143464; 924023459; 713140820; 476643841; -1; 881136198; 326083630; 105850571; 165043836; 743110385; 457989487; 107792561; -1; 557186873; 62595804; 945431387; 706539541; 265844158; 14024133; 322617144; 535340279; 709578867; 814075288; -1; 358317757; 379467560; 976674606; 386489723; 123783190; 201015227; 738389551; 366878655; 532693088; 371358788; 987450815; -1; -1; 549456920; 873974783; 189209109; 418051811; 79679845; 713360241; -1; -1; -1; 743698894; -1; 558803469; -1; -1; 483637455; 218760199; 909254037; 377808140; 245571035; 469537822; -1; -1; 786811959; 498200371; 786157201; -1; -1; 510915723; 22842738; 88682336; 497753484; 481874860; 102664134; 119080741; 253946406; 820592774; 728473108; 227260609; -1; 168502888; 699445908; 229474404; -1; -1; 905937284; -1; 109637933; 611170586; 743137590; -1; -1; 295631982; 379746646; 580736268; -1; 927689566; 880985504; -1; 369767153; 770719554; 519084129; -1; 892209494; -1; 941651027; -1; 611815557; 479411588; 749247350; 970466452; 872459898; 924683409; 29081957; 2305243; -1; 718735618; 201747568; 110057810; 241291012; 686884570; 685458992; -1; -1; -1; 201453072; 336613469; 866961262; 990082693; 193538256; -1; -1; 540834216; -1; 994946171; 252021553; -1; 855046285; 858424891; 125197411; -1; 876369224; 82740126; -1; 931628018; -1; 71286885; 677699112; 508317594; 281914887; -1; -1; 144287396; 941912340; 165708104; 881486163; 308140924; 445044854; 865295584; -1; 656210156; 350855860; -1; 728737622; 322647573; 300977143; -1; 873413965; 224503436; 52925188; 408853591; 487754962; 647937652; 730968469; 883318722; -1; -1; 661028275; 698143208; -1; 64221882; -1; -1; 569770839; 622784037; -1; 768170064; -1; 610736858; 950124547; -1; 144592375; 489191239; 184277692; 206880859; 232282310; 768334651; 323243314; 907821790; 791941698; 312070515; 385531493; 24188411; 232730390; 331696831; 268412794; 239205092; -1; -1; 290790898; 60326790; -1; 970519762; -1; 723407098; -1; 828621484; 500669954; 711969433; 416492880; 281081371; 789285896; 561514581; 37238095; 7715167; 24164123; 435960549; 405154621; 470185388; 339421393; 8420561; -1; 742298817; 818412627; -1; 860098224; -1; 535756489; -1; -1; 662478206; 268870000; 866776173; 121205291; -1; 762181656; 973673031; 231519074; 367300275; 487278361; -1; 59977381; -1; -1; 235456974; -1; -1; 950881675; -1; -1; 132390839; 655202034; -1; 493395426; -1; 5212773; -1; 833259000; 708576386; 153055788; -1; 52665972; 868786933; 283333219; -1; -1; 4043824; -1; 40493859; 371049947; -1; -1; 788288043; -1; -1; -1; 441131152; 418046305; 69020760; 525957337; -1; 560745866; 88962166; 293825882; -1; 964144838; 103553432; 239419913; 318790874; -1; 858716046; -1; 11894590; 879533048; 317309156; -1; -1; -1; -1; -1; 839409976; -1; 981601415; 734660871; -1; 181740561; 127268161; 876958780; 693230286; -1; -1; 738385064; 991929917; 272846104; -1; 849243779; -1; 455945440; 582613543; 737087007; 993734976; 802718430; -1; 52207934; 453681385; -1; -1; -1; 933028761; -1; 201080302; 270281990; -1; 287068864; -1; 684205900; -1; -1; 117078394; 892128055; 134721991; 412319117; 765447973; 718091847; -1; -1; -1; 497564265; 466525984; -1; -1; 519131889; -1; 441574258; 909738731; 803246653; 973978021; -1; 942624766; 699700430; 194005941; 323054115; 198732155; 631850666; 783394304; 436807906; 464437806; 687934153; 11458123; 354145892; 232308769; 163987215; -1; -1; 486958062; -1; 754185788; 498716901; 741433541; 775718523; 168612539; 5460488; 138464856; 399997983; 966502853; -1; -1; 57837758; 636214303; 212407209; -1; 695683641; 344731158; 594663463; 910520170; 148623683; 760894847; 207439922; -1; 254900060; 783139934; -1; 808200428; 984506560; 10567803; 994996217; 986692136; 635640317; 657340212; 735965252; 340708155; 946198973; 354283273; 781859399; -1; 500417711; -1; 990061957; -1; -1; -1; 458583618; 887361564; -1; 43391415; -1; 110393841; -1; 26259071; 27538698; 710906696; -1; 304270135; 359004916; 146714774; 368683119; 836253657; 543153818; 153928960; -1; -1; 873549344; -1; 505687008; -1; 657716342; 85630033; 749487667; 779541536; 971563016; -1; 145260427; -1; -1; 646667503; -1; 954384953; 412119669; -1; 253009215; -1; -1; -1; 822181883; -1; 70905812; 791271078; 10588966; 849824395; 594650689; 45613602; 784170110; 660042547; 251101457; -1; 507138433; 67052526; 894015405; -1; 791803903; -1; -1; 552858809; 926663768; 15349814; 677382824; 201481862; 491992853; 976586605; 360974573; -1; 894349899; -1; 140437347; 707385168; -1; 502916300; 176171654; -1; 523092876; -1; 835175221; 156256443; -1; 571475997; -1; -1; 939039229; -1; -1; 861131741; 912543013; -1; 992058918; 116531087; 562275768; 979101214; -1; 362600673; 952265943; 247332588; 758378711; -1; 458658646; 724211234; 248894561; -1; -1; 54987262; 461521300; -1; 526679478; 848319037; 904031664; 298783037; 293393406; 314118854; -1; 171880378; 780011900; 243392194; 78510677; -1; -1; 81715407; -1; 569442435; 332952368; 561331875; 567853485; 425487649; 162920571; 139621369; 903829142; 955998889; 110941179; 399054384; -1; 856423171; 386456531; -1; -1; -1; -1; 416019193; 816354510; 967864851; 343615859; 647842797; -1; 78734356; -1; -1; 863204117; -1; 504371248; 927127313; 763520820; 368520228; -1; 447051791; 167562144; 961172175; 660266315; 378766774; 984686105; 878309231; 673486695; 887670454; 259711533; 239240902; 193636229; 386263615; -1; 817884804; 833861548; 739135938; -1; 532550410; 535692263; -1; -1; 562721197; 943761355; 636562186; 655290219; 283493716; 842252875; 582831547; 57715234; 697783327; -1; 49692919; 878423004; 267918701; -1; 778036399; 673470521; 949404341; 66482683; 903035808; -1; 783314567; 647472541; 377979442; 628721210; 244644483; 219047289; 25251228; 309630054; -1; 59963546; 423504183; 993678606; 745135099; -1; 880594285; -1; -1; -1; 448882490; 636411321; -1; 532475197; 978395130; -1; 634567802; 896492145; 563485757; -1; 55870210; 559906470; 971015978; 992079830; -1; -1; 906305158; 328750657; 142947652; 850913042; -1; 944457616; 951647218; 516110691; 846412582; 735871268; 989109681; -1; -1; 83949320; -1; 704844861; -1; 673504610; 943607229; -1; 521994946; -1; -1; -1; 426665906; 31303407; -1; -1; 869663962; 313880598; 492181766; -1; -1; 946545987; 447374274; 872737628; 976321760; 774217782; 36147707; 678747214; 287619621; 51892085; 85494229; 716748604; 503317597; 237849094; -1; 277065435; -1; 776252451; -1; 463773889; 947659540; -1; 195220071; 488604291; -1; 838472847; -1; 167606530; 542248844; 311787345; -1; 447115749; 619844489; 784092212; 558800004; 974787844; 464185058; 26618686; 17652952; -1; -1; 976040234; 955506450; -1; -1; 988038298; 180628667; 676962715; -1; -1; 170522973; 726686499; 357298050; -1; 191085641; 706397866; 209440639; 877753533; -1; 634128192; 20192700; 673999425; 82858423; -1; 719116728; 384372849; 786525641; -1; -1; -1; 338628120; 853656687; 981410409; 587510893; 785746185; 24605889; -1; 557320356; -1; 663638956; 788119457; 169247095; 23842406; -1; 112817164; 617242150; 965278639; 706232818; 923837693; 796853052; -1; 408152768; -1; 500845078; 148664682; 720958519; 34053233; 143775816; 723344901; 177495435; 859457526; -1; 652946518; 767360171; 357184813; 297184937; 626016588; 232705756; -1; -1; -1; 603478395; 45449384; -1; 232270066; 458306190; 984423369; -1; 954724756; 262779023; 25022047; -1; -1; -1; -1; 292884524; 969130190; -1; 395418458; -1; 236008384; 253580940; -1; 316475002; 497760900; 680136168; 433599828; -1; 316196421; 515454185; -1; 863832213; 388538351; 985453769; 402202470; -1; 593807682; -1; 367623569; -1; 7598442; -1; 839312670; -1; -1; -1; 345737320; 143615431; -1; 638305707; 869628203; 97773658; 525539256; -1; 405198825; 868432197; 715572756; 416485517; 898667687; 107568788; -1; 617885274; 303154631; -1; 985098639; -1; -1; 267453446; -1; 15506643; 495696349; 936702621; 974339963; 244316136; 965528998; -1; 128524680; 164143247; 669380321; -1; 794388200; 5552142; 893441879; -1; 389488470; -1; -1; -1; 987531967; 997040087; -1; 213225096; -1; 321079704; 264278142; -1; 487552536; -1; 599879086; -1; -1; -1; 705949177; 732616434; -1; 495986804; 678624502; 41344524; -1; -1; 34720237; -1; 298094975; 555532982; -1; -1; -1; -1; 907381999; 765244514; -1; 36923630; 481050716; 872147919; 636882630; 190061309; 74642612; 539217569; 493110445; -1; 938362629; 781195924; 133672560; -1; -1; 607407914; -1; -1; -1; -1; 974226685; -1; -1; -1; -1; 661665834; 993980821; -1; 99868831; 695914034; -1; 274274209; -1; 973340115; 270992380; -1; 218204689; 450813437; 250107488; 304323403; -1; 319847988; 652816194; 672245648; 567734187; 40133806; 846964528; -1; 91184389; 431684691; -1; 896291035; 217546358; 646348883; 257983989; 460886141; -1; 270018350; 247864243; -1; 436842965; 35776810; 195882441; 940417907; 186970667; 796614353; 154009049; 702900553; 568309792; 796000088; 951257487; 409988853; 279898030; 158280322; 153962584; 519291692; -1; -1; 968495569; 960988648; -1; 457710465; 984985325; 651497025; 325134330; 527170981; -1; 560293798; 578718382; -1; 562276413; -1; 301672558; 187858903; 872822130; 89356820; 873572241; 12986900; 963017380; 264398100; -1; 119074920; 296749239; 491877672; -1; 549078917; 181321151; -1; 431422255; 582535467; 737932809; 739071146; 335800584; -1; 947270008; 739120600; 969498084; 178343859; 271663735; 337636698; 467822827; 467057769; 511954439; 949217850; 836917791; -1; 687062655; -1; 402476066; 654494617; 14044544; 648369187; -1; 235811240; -1; 799863464; -1; 395914831; -1; 24927450; -1; -1; 137132603; -1; -1; 200828365; 614545758; 475792275; 939418030; 786186778; 783834570; 601357316; 539290174; 291191575; -1; -1; 217758646; 719157397; 160716416; -1; -1; 573275004; 417276686; 932669857; 314434244; -1; 655088506; -1; -1; -1; 952568966; 618850237; 293515607; 849199505; -1; 912490549; -1; -1; 856528476; 130420636; 754769897; -1; 343601406; 247247726; 132666615; 29377896; 940410296; -1; -1; 920460585; -1; -1; -1; 799903134; 569213083; 825367604; 778341382; -1; -1; -1; 840456641; -1; -1; 358087773; -1; 901987602; 283352777; -1; 343648552; 782043976; -1; -1; -1; -1; 502411002; 578004150; 918861393; -1; -1; 346275456; 816730821; -1; 594945216; -1; 694573214; 339334159; -1; 379969278; -1; 705650695; -1; 841679562; 442555923; 551400073; 476939859; 81537842; 657951895; -1; -1; 892387467; 78114328; -1; 387147685; 255930955; -1; 811449232; -1; -1; 303014052; 828445891; 544890216; 595606781; -1; 659396980; 626936535; 514648090; 743621455; 984379771; 63075378; 731553; -1; 567177667; -1; 920526990; 420738138; 343382639; 69617521; 259384606; -1; -1; -1; 716623455; -1; -1; -1; 543905059; 48081396; -1; 936284661; -1; 596568276; 831900484; -1; 198720917; 361913457; 137135676; 388263657; -1; 638645608; -1; -1; -1; 10211832; 817114837; 202925260; 812915213; 862299336; -1; -1; 482700061; 897359663; -1; 107735825; 5013342; 70949182; 792974618; 237636158; 141404251; 388038203; 483663479; 31349003; -1; -1; 104661126; 992058918; -1; 968601331; 392356895; 292563947; 379399924; 167997398; 529602697; 358070866; 418713734; 246479734; 492422159; 11219635; 189468636; -1; -1; -1; -1; 213374315; 954029628; 415921899; 349600527; 412705025; 251521480; -1; 935520445; 510468832; 234953845; 736051418; 438093756; 513625275; 163132430; 572047499; 964974974; 580167108; 472491922; 408099185; -1; -1; -1; 650698732; -1; 59466378; -1; 768197550; 831033884; -1; 717829266; 21299037; 263950426; -1; 366221451; 34206554; 258637632; 763453834; 322590374; -1; -1; 276413420; 868963266; -1; 542009362; 529072597; -1; 14163353; 308848109; -1; 701690683; -1; -1; -1; 291234753; 693856510; 207989022; 714991810; 196467607; 220099634; -1; 966624340; 31613256; 969225917; -1; -1; -1; -1; -1; 340325525; 604961043; 675873531; -1; 537454146; 503147450; 925093837; -1; -1; 182899652; 206482763; 987607725; -1; 770447998; 271420532; 745436150; 821931079; -1; 111728419; 821715820; 133780277; 835893873; 405271673; 376565215; 315151327; -1; 369677939; -1; 702943114; 906760155; -1; -1; 308057321; 418675988; -1; 572373520; -1; 558878843; 415553586; 895908566; 583234898; -1; 508515623; -1; 863946240; 258863067; 137240518; 936741799; 956844012; 505634091; 408666803; 740732489; -1; 209134263; 679457170; 517308108; 516283058; 443351152; 805763536; 56323406; 191504576; -1; 131172889; 412659998; 636097722; 781643221; 243194218; -1; -1; 255607080; 365879658; 966072878; 135731548; -1; 275356311; -1; 264943044; 993707128; 416557376; 733867917; -1; 75502250; 615934918; 342275917; 567303328; 753246516; -1; 186629922; 709340901; 370069482; 369503676; -1; 860976262; 892613822; 525191518; 573681415; -1; 557062692; 451171135; -1; 772195236; -1; 853342785; 386776771; 273070868; 796295064; 614448683; 526573417; 325886621; 383018318; 392792494; 29166257; 930375477; -1; 238455628; 578162341; 614717722; 923510772; -1; -1; 660432843; -1; 322432265; 763773015; 707080985; 576710908; 444500030; 397545108; -1; 781754679; 609800490; -1; -1; 907095454; -1; 1298723; -1; -1; -1; 881507526; 602554955; -1; 960365257; 41568655; -1; -1; 208153548; 243503745; 132232382; 257857230; 94155009; 4719566; 538505235; 782177376; 796273624; -1; 934697176; 621130709; -1; 221747651; 981134934; -1; -1; 950381364; -1; -1; 97410207; -1; 142571717; 817972848; 409222314; 872594750; 573989123; 966169654; 938418392; 737754679; 317754780; 135460046; -1; -1; 110620216; 957894487; 558522091; 367497004; 924501603; 23868116; -1; 97091011; 396883965; 579785785; 346686135; 533945711; 57032321; 540727801; 293907819; 858852591; 369513573; -1; 241260813; 772255442; -1; 679932698; -1; -1; 84050708; 900352359; 166454134; -1; -1; 508062056; 642538214; 871546958; 43942599; -1; -1; 31412534; -1; 426725614; -1; 944131010; -1; 187162964; -1; 772513323; 468766951; -1; 945110900; -1; -1; 719991961; 186061565; -1; 567447316; 803554990; 648408422; 317095556; 279858524; 604139047; -1; -1; 385916250; -1; 528951778; 296960170; 743834729; 842639966; 832795505; -1; -1; 787593317; 400770766; 700219481; 38466825; 500423556; 538435976; 244689884; 576793155; -1; 506949793; -1; 334928038; -1; -1; 268269289; -1; 872976279; 221051865; 249951777; 540179993; -1; -1; -1; 689145860; 28366365; -1; -1; 777002169; 442951548; -1; 69585111; -1; -1; 773380312; 276597622; 921156014; 757903426; 782349093; 363130330; -1; 896264503; -1; 611115886; 461244747; 237841744; 532831216; 348382450; 7456020; 977698389; 608979172; 429457805; 34732; 297303556; 349357068; -1; 505235922; -1; -1; -1; 158677324; -1; -1; 567401256; 207927172; 332444464; 136732733; 133332920; 569762867; 539177520; 39852194; 389118608; 666019552; -1; -1; 49152777; 624579100; 831242424; -1; 938173561; 692322664; 986328040; 464111757; 337184018; -1; 183523527; 530038215; 905549515; 324328993; -1; 452023851; 532187129; -1; -1; -1; 982175626; 470743921; -1; 51589374; 632064234; 670130960; 624958682; 867333486; 812962291; 229285257; 511191447; -1; 18148375; 384419189; 385020987; 33025340; -1; 414622148; -1; 276191079; 834079729; -1; 166330387; 41162384; -1; 743090842; 919572834; -1; -1; -1; 702152829; 260855176; -1; -1; 72534383; 806363861; 813801606; -1; -1; 79716388; 76404908; 512396664; 200513487; 986019769; -1; 889762893; 727471731; -1; 597511947; -1; 166473032; 598694580; 676678302; 773747471; 175813340; -1; 554736515; 488608570; -1; 874179064; 421736973; 21873899; 489515252; 67771895; -1; 971470046; 413537194; -1; 13402074; -1; 768203562; 488360886; 191397450; 957607910; 676759999; 749132372; -1; 547353844; -1; 686383965; 132588874; 875194736; 316017604; 88284214; 245324617; 970996512; -1; -1; 203804973; 400970213; 307347253; 251446840; -1; 927867151; -1; 184721338; -1; 12166102; 508233325; 666749480; 588917610; 567145133; -1; 225515400; 416641959; 347347277; 942018671; 255583189; -1; -1; 316244072; 65583461; 149998048; -1; -1; 407351316; 724710869; -1; 383238809; 75135059; 657463228; 423137745; -1; 7588945; -1; 633431504; 203644069; 832511791; -1; 533098343; -1; -1; 701505882; 736312143; -1; -1; 113935549; 34819458; 955522692; 89362842; 146795377; 786882614; 624606441; 547184374; 971481843; -1; -1; 473281200; -1; 987411977; 329326156; 60221241; -1; 898140520; 895961220; 106140360; -1; -1; 845976127; 413037591; 752452135; 477463409; -1; 530941086; 770882416; 764463579; 112900787; -1; 486905126; 284487524; -1; -1; 684290566; 188130602; 709173849; 826403413; -1; 353706050; -1; -1; 187702876; -1; -1; 504789371; -1; -1; 4467769; 451607560; 803384535; 451254116; 262840251; -1; -1; 898820538; 315672304; -1; 785133392; 187642732; 569653279; -1; -1; -1; 809982403; 570640125; 852164888; -1; -1; 527631309; 947767118; 816315050; 593022126; 948765422; -1; -1; 709570862; 539698628; 866650438; 558979705; 11438501; 149762305; 140991408; -1; -1; 978400673; -1; 979802403; 289093804; 854864854; -1; 877376570; 941310056; -1; 174144849; -1; 666537767; -1; 486448050; 663624209; 937585788; -1; 265545225; 505395318; 866741183; 743181532; 757416278; 668242107; 66154616; 45065027; -1; -1; 400267264; 532224644; 503654578; 880389691; 910757043; -1; -1; 772800743; -1; 484191628; 481644853; -1; -1; 871349811; 214366259; 484157780; -1; -1; 891639773; -1; 808273539; 213331392; -1; 754070922; 153309051; -1; -1; 312457876; -1; -1; 893482392; 29413707; -1; 663131075; 596690359; 441405147; 296252128; 157880300; 702137801; -1; -1; -1; 680918862; 683187420; 914388302; -1; 664543587; 145311431; 387743986; -1; 139663172; 241503614; 613450416; 927483612; 824557993; -1; 586535156; -1; 253807795; -1; 187137679; 806140969; -1; 14067039; -1; 807000066; 30401212; 466021473; 322228359; -1; 536917349; -1; 279501457; 637671312; 175531719; 747722900; 182798383; 508068511; 309203958; 994231142; -1; 250621642; 773160018; -1; 353284261; 437926012; 850320531; -1; 81692000; 45162811; 979479420; 686864432; -1; 682963352; 56727853; 207119908; 317864589; 337207952; 766004374; 824946505; 143862030; 330315219; 801634870; 812238473; 889854475; -1; 690670386; 710373241; 489955699; 714382754; -1; -1; 636834139; 221372129; -1; 537732350; 317751883; 572309937; -1; 597346252; 981135179; 95632006; -1; 997805221; -1; 696986402; -1; -1; -1; 494450734; 768690617; 653034061; 403589955; -1; 380961205; 88788859; 847390246; 891810331; -1; 649473691; 606143523; 354502137; 131640409; 482837911; 7473445; 642110548; 464398779; 717998764; -1; -1; -1; 980649919; 455169795; 235872640; -1; 123089758; -1; 838773565; 692184658; -1; 655786326; 426879253; 588162359; -1; 668492541; 283861232; 676372877; -1; -1; 906700280; 840114355; 459645492; 701636843; -1; 813730064; 411003238; 612982567; 103412252; 422598919; -1; -1; 612451506; -1; 867995260; 732691462; -1; -1; 46626002; -1; 629147261; -1; 642442124; 618562950; 957068443; 481338629; 750594882; 354728280; 545489028; 223223450; 137312270; 96733551; -1; 343556429; 297111999; 869123212; 286704205; 984713305; -1; 387051417; 258888441; 149063592; -1; 855828079; 427131421; -1; 645721781; 864824390; -1; -1; -1; 450145642; 333989803; 656076475; -1; 104240746; 750993408; 956629609; 624195669; 30887121; 649205535; 603243662; 115934705; -1; 159252821; 750993410; 203182186; 15020230; -1; -1; -1; 239164103; -1; 698076226; 154855213; 908931593; -1; 766168750; 643161854; -1; 355792226; 88116846; -1; 792334755; 354307164; -1; 998550921; 168409500; 29107478; -1; 606451710; 243813134; 705383917; -1; -1; 728556184; 957358680; 67915123; 732260749; 24798269; 550416447; 670295484; 121954315; -1; 989980210; 643934781; -1; -1; 883268040; 936448886; 194220436; 916033455; -1; -1; 841592832; 976589027; 766116518; 514032510; 789309867; 901329173; -1; 59017719; -1; 831154000; 501342206; 880577881; 139632938; 342464934; -1; 873493028; 548276312; 661706039; 731731510; 935615542; 239937925; 184587237; 749345951; 84077531; 275772021; 136458830; 923743482; 441995144; -1; 828946866; 491053734; -1; 71404437; 364436904; 455947521; 283385175; -1; 48030892; -1; 671719247; 831547980; 581364714; 439017104; 600113109; 3815728; 629114; 327773522; -1; -1; 155397112; -1; 702127163; -1; 191110870; 590110208; 202474627; 305864406; 582835974; -1; -1; -1; 350548020; 269319366; 886912695; 742021513; -1; -1; -1; 399070316; -1; 614101277; 453048071; -1; 999614727; 920709316; 964198237; -1; -1; 970566359; -1; 727716696; 255087807; 858636301; 192672866; 567992050; 579802155; 781386053; -1; 925565330; 535415715; 456489758; -1; 470307372; 69938902; 807645183; -1; 885180336; -1; -1; -1; 333684951; 780539048; 383007223; -1; 508107272; -1; 47956070; -1; 655128730; -1; 657984131; -1; -1; 795518907; 450951873; 682050420; 470167906; -1; 104984835; -1; -1; 605398484; 989012792; 145704845; 193046524; 128331296; -1; 605915293; -1; 973158525; 246211177; 886855763; 872732950; 887329669; -1; 987642908; 525069036; 106190552; 729032331; 198403286; -1; -1; -1; -1; 567165774; -1; -1; 593398166; -1; 345268790; -1; 940668852; 704380894; 670957489; 25063832; 913248458; -1; -1; -1; -1; 49969225; 939672411; 490100880; -1; 960594128; -1; 472693925; 411829316; 490790238; -1; 616385507; 791947495; -1; -1; 83351263; 86605441; 160257224; 576589825; 787953517; 879869391; -1; -1; -1; 305722575; 420296648; 193986602; -1; 85481769; -1; 920041770; 867610471; 650951651; -1; -1; 906293936; 72697464; 409722073; -1; 607380648; -1; -1; 973430782; 711729487; -1; 204751351; 420749068; -1; 401234406; 439462238; 8958346; 621917591; -1; -1; 888232739; 332106357; 959569526; 105174861; 989116105; 655572102; -1; 48928647; -1; 29920388; -1; -1; -1; 361792065; 367623688; -1; 125406933; -1; -1; -1; 272093429; 493759217; 886667019; 937470161; -1; 589257545; -1; 880437144; 439364839; 524574423; 543429960; -1; 624638865; 447629425; 870990871; 448522744; 661878555; -1; 143790437; -1; 935764430; 303006620; 908929178; 825503621; -1; 75340627; -1; 505848913; 441614642; -1; 931235440; -1; 112961595; 707641375; 239300223; 383932404; -1; 648999767; -1; 598961488; 992693660; 773508286; 948986880; -1; 82870950; 339143454; 89079474; 700773656; 609614731; 680656860; 758402118; -1; 946377675; 118353902; 730961899; -1; 511664616; 945112365; -1; -1; -1; 286215788; 275370361; 490803142; 660210978; -1; -1; 710873795; 247899794; 475205973; 346717543; 424445165; -1; -1; -1; 615585724; -1; 112564100; -1; 159761240; 677049075; 551452714; 273789757; -1; 629458709; 146154677; -1; 4123818; 283079619; -1; 40610630; 267683070; 648498386; 576921883; 788644034; 154406052; 221365469; -1; -1; 958480779; 508174285; 98779536; 182935008; 993367631; 319466586; 187947778; -1; 155013102; 860349473; -1; 160533252; 284062618; 507917312; -1; 777772145; 20933292; -1; -1; 772519924; 605303335; -1; 434156374; 738200239; 756830625; 101635825; -1; 874043662; -1; -1; 211399253; 351376753; 719923972; 814006684; 950149662; 780878383; -1; 31523738; 196374934; 603807737; -1; 94866015; 735111067; 909434796; 11099406; 153201577; 309953797; 263459535; -1; -1; -1; -1; 534308215; 818052438; 419286539; -1; 435824111; 660992406; -1; 492327971; 549285568; 379932668; 410908411; 191756100; 491197601; 375578372; -1; 80735276; -1; -1; 238671018; 312519659; 883184169; 562581595; -1; 199228695; 850053731; 888114816; 236147218; 491054275; 84939837; 18391867; 5459237; 337153376; 396495214; -1; 303496519; -1; 422294825; 114232149; 34548590; 224990397; 234238180; -1; -1; -1; 723407262; 595460309; -1; 116600662; 961408106; -1; -1; 799723436; 925622249; -1; 834069259; -1; 556796524; -1; 379224793; 791738860; 656802622; -1; 465708832; 569142805; 475779875; -1; 369571287; 383979072; 915932174; 505036905; 905532850; 75601353; -1; 493672664; -1; 190142671; -1; -1; 918798499; 260978324; 569340343; -1; -1; -1; -1; 753533143; -1; 800114313; 353875574; -1; -1; -1; 724987648; -1; 264464354; -1; 532412330; -1; 331176255; -1; 429308136; 590439175; 484764354; 446621610; 638645364; 319584727; -1; -1; 632453253; 206239156; 930796256; 65219588; 771524475; -1; 876155514; 136813081; -1; -1; 941591065; -1; 846737738; 135397547; 617829928; 699200421; -1; 501276438; 911594650; 814339863; 916037056; -1; 747853166; 844247572; 436120981; -1; 880805411; 908127602; 150526405; 581723075; 142769805; 240657107; 185404931; 879353572; 609602011; 430195160; 328543634; 124371565; 223515944; 450038289; 293111012; 786883517; 891233224; 591223462; 937261213; 486533782; 567805648; 686985751; 365411577; -1; 617573113; 81997403; 598191564; -1; 69639852; 773460050; 126366827; -1; 789275762; -1; -1; 947675860; -1; 611944109; 479895846; -1; 837132772; 372548400; 843274825; -1; 83862840; 38014548; 475362331; 479945986; 24839833; 993239703; 172616469; -1; 347383511; -1; 493322997; 751524688; 585115824; -1; 755338107; 596870398; 260324406; 823842073; 715325717; 329133178; -1; 545925784; 32695389; 121059517; -1; -1; 311880740; 816918096; -1; 638919645; 91007729; -1; -1; 619859730; 360111791; 839510741; 86728876; 977456755; 130866860; 510465090; 297263960; 995344798; -1; -1; 131471069; 388799695; 590181663; 476638483; 429530265; -1; -1; -1; 444966303; -1; 661730585; -1; 182115640; -1; 939133036; 44040307; 431850435; 921772563; 437178518; 467554108; 530290714; 142315632; 638226381; -1; -1; 454073726; 756097924; -1; 907916663; -1; 437966177; 874942856; -1; -1; 233574949; 403585112; 487795773; 342314849; -1; 381777437; 938728222; 977851319; -1; 402041019; 48926372; 887436647; 272764122; 847123191; -1; 582149061; 956865473; -1; 375345565; -1; -1; -1; 511210166; 706467330; -1; -1; 636650871; -1; 951427379; 143808192; 928243723; 789330023; -1; -1; 510565666; -1; 667625716; 514449696; 282477766; 569842631; 910289099; -1; 444005424; 157439147; -1; -1; 429928654; 757211621; 151402477; -1; -1; 583915183; 330952036; 255541985; 347058241; 951666832; 899592576; 819137418; -1; 911606288; 430376867; -1; 471020481; -1; -1; 959160993; 344197565; -1; 315913326; 391959153; 76000602; 927453573; -1; 573707176; 405707866; 747597226; 959976320; 797025538; 737634980; 971558698; -1; 508765899; 567074383; 608226067; -1; 815824263; -1; 639607497; -1; -1; 357277337; -1; 396969327; -1; 335469935; 682040960; -1; 26092870; 281744389; 952337432; 934090291; 442766142; -1; -1; 908988081; -1; 939195103; 631570609; 98973131; 516141324; 176583645; 777608372; 604146790; 960634649; 741641068; -1; 557671525; 75363466; 31230828; -1; -1; 360751409; 530001542; 520443073; 473975831; -1; 258549523; -1; 83989958; 794837242; 315493565; 779736369; 699787010; 458538796; 361891648; 413082278; 734801761; 938917254; -1; -1; 662596108; 923911648; -1; 793622674; 764710145; 866116519; 645782493; -1; -1; 625231953; 3513621; 441563243; 147484991; 939901630; -1; -1; 738251911; 517870081; 378151289; 252819117; 640856640; 484995888; 524409991; 802536201; 894850960; 430364498; -1; -1; -1; -1; -1; 603893688; -1; -1; -1; -1; -1; 462548789; 790991597; -1; -1; 709343215; 806506251; 742893859; -1; 815386932; -1; -1; -1; 990503799; 58330838; 727112894; -1; -1; 521347206; -1; 370663185; -1; 670115244; 532848984; 81223865; 787868696; 620693436; 966205952; 376063517; -1; 268913729; 258294799; -1; 89005109; 868597613; 271600486; 111676817; 790085983; 768200020; -1; -1; 90276600; -1; 793145691; 606001577; -1; 285048695; 374956884; -1; -1; 512737367; 369314655; 912873829; -1; 193323603; 269690252; -1; 364377842; 319445552; -1; 444751923; 840505406; 128030242; -1; 518458784; 865360206; 391287112; 613333287; 33262611; 765145193; -1; 827771402; -1; 689960357; 929826752; -1; 710446351; 735779074; -1; -1; 651275710; -1; 985669975; -1; -1; -1; 474113523; 551765000; 100160402; -1; 891236986; 970738231; 766585301; 831213293; 343563674; 11218483; -1; 960542059; 385971548; 598045089; 160625590; -1; -1; 69402208; 377923568; -1; 752269955; 495581512; 415574453; -1; 373074905; -1; 524225649; -1; 208649623; -1; -1; 589450558; 701986516; 796478683; 677794038; -1; 849410421; 654221090; 747327365; -1; 299975304; 633366567; 87695053; 399000562; 129646178; 80869989; 721275691; 747792560; 178542629; 647207479; -1; -1; 410933050; 106912760; -1; -1; 959267322; 885588612; -1; 53086436; 173061583; 926672186; 726573983; -1; 744395736; -1; -1; 515947392; 266507188; -1; -1; 753545171; 337830116; 676787735; 893840672; 771125168; 488227096; -1; 919226172; 510666290; -1; -1; -1; 901801042; -1; -1; -1; 608710228; 438877196; 360819865; 939390510; -1; -1; 986300951; 83164870; -1; 15040192; 891601324; 492334789; -1; -1; 907883052; 482730309; 132237793; 556129996; -1; 113069096; 454675602; 472887281; 781630568; 120354204; 585637717; -1; -1; 332832438; 117383951; 160569880; 600164250; 986985658; -1; 424969364; 101189427; 995118578; 375840782; 455045885; -1; 628177640; -1; 871435910; 231578857; -1; 723176894; 468196603; 748268609; 212775524; 19888824; 366192255; 850739866; 880753632; 890243787; 457979017; -1; -1; 287256264; -1; 559226038; 324571139; 764276176; 649303899; 143394636; 125709154; 94682729; -1; -1; 320241156; 84881738; -1; -1; -1; 940236366; 58571597; 110235084; 508461626; -1; -1; -1; 657529833; 482673960; -1; 767915960; 575878711; 237490204; 26818062; 5502955; 304764621; -1; -1; 564108574; -1; 624639811; 598451971; 468172268; -1; 21640097; 765641356; 501030988; 338173006; 25418007; 296112924; 821270859; 405865921; 866994331; 199071423; 517396867; -1; 465464598; -1; 905798970; 193084637; 519999754; 364949089; 994500932; 889889973; -1; 939419189; -1; -1; 561301019; 685777239; 86555399; 263487159; 273973567; 209255842; 95371719; 676906024; 150967569; -1; 504983341; -1; 380329476; 954118199; 560232008; 892434777; 626126709; -1; 890233052; 309202603; 474176683; -1; 840511088; 192035845; -1; 371637355; -1; -1; 647082406; 327818596; -1; 225472081; -1; 487508768; 925501871; 396810751; 319412666; -1; -1; -1; -1; -1; 348689538; 333031299; 85862497; 747409675; 688870300; 256406731; -1; -1; -1; 840236030; -1; 524984360; 341866529; 852813830; 692702785; -1; 125257161; 831454529; 737914939; 688134753; 86720583; 544637929; -1; 211980176; -1; -1; -1; 559135462; 636107049; 647833894; -1; 402501084; 372818871; 195589871; -1; 50460722; 123184787; -1; 971817589; 211467933; 489610368; 571775128; 156602463; 669346065; -1; 445159385; 222390712; -1; 816168872; 864242750; 65083233; 877028342; -1; 570674866; 226050095; -1; 26199939; -1; -1; -1; 311847289; 951331933; -1; 351821085; 443335749; 888753547; -1; -1; -1; -1; 742145756; 315446889; 538565803; 112846754; -1; 401702984; 96851964; 388128501; 189396464; 937210930; 733390968; 874226982; -1; 765732194; 812019830; 729540633; -1; 12127045; -1; 55928686; 267541894; 805022002; 43129395; -1; 834960606; -1; 318369788; -1; -1; -1; -1; 165157721; 996802109; 149770788; 94266809; 282293370; -1; 421657388; 965489610; -1; 357317946; 567084292; 675069334; -1; -1; -1; 833148154; 338840183; 4348699; 160231860; 849318694; 796816903; -1; 513321649; 536947617; 125182172; 363256321; 886694741; -1; 307585079; 38025821; 894493501; -1; 923827903; 620236351; 431285842; 963369297; 223480579; 944409289; -1; -1; 631088020; -1; -1; -1; -1; 800337673; 737529496; -1; 565734023; 375601214; 289362698; 292293366; 667663125; 88910014; 610442580; -1; 701907174; -1; 648484925; -1; 709696554; 463727624; 656698038; 703636097; 446814932; 847884434; -1; 802661552; 796518927; -1; 633874314; 973518333; 609535659; 350243101; 9155443; -1; 857134426; 71623076; 188895448; 644684990; -1; 139987481; -1; 463301762; -1; 610686760; -1; 467403416; 62316492; 797390587; 681920654; 272660836; 709682391; 210358093; 626328193; -1; 990678689; 622885404; 62176431; 409475643; -1; 82695394; 493226401; 645533238; 524899303; 113180215; 786208988; -1; 240777255; 637263944; 581123813; 695059477; 846359380; 905098949; 403652664; -1; 801845855; 625685390; 497929115; 750551736; 489628819; -1; 833605553; 381256638; 497017227; 98292616; 544356136; 853390951; 122622236; -1; 299916183; -1; -1; -1; 941924383; 926364838; 78046268; 54301221; 956855704; 96098047; 448929650; 173472858; 259731573; 641449428; 257734756; -1; 727752344; 52017638; 980954806; -1; -1; 88860415; 171562400; 417496553; -1; 758255347; 999909348; 270432135; 128386495; 898219163; -1; -1; 666523582; 976376627; 963614975; 828048524; -1; 425705878; 100179413; 673651530; 73833163; 520184860; 24249304; -1; 803743212; -1; 978454787; -1; -1; 782799326; 189421466; -1; 251802489; 469153401; 696029214; 156846865; 153412923; 51573983; 799063039; -1; 911442771; 905087707; -1; 295661459; 604922470; -1; -1; 93554912; -1; 904185049; 550838867; 488439669; -1; -1; 1803058; 393050460; -1; 507878924; 772861913; 136878139; -1; 787018894; 95858273; 900331159; 619212887; 125089810; 460971849; 277355483; -1; 317476441; -1; 740388949; -1; 918875814; 31779477; 323108611; -1; 828221912; 454820410; 795195465; 844020002; 989353840; 598631544; 476007365; -1; 1361878; 126853919; -1; -1; -1; 651371888; -1; 891543824; -1; 386552879; 506375604; 123967806; 14004595; 445675861; -1; 132961895; 790030377; 131539168; 578423513; -1; 162785664; 277534780; 647325820; -1; -1; -1; 314729771; 668793790; 413396659; -1; 11149016; -1; -1; 660333686; -1; -1; 267476444; 280981510; 557506124; -1; 188634957; 865580354; 509244455; 289052469; -1; -1; 814041105; 381937266; -1; 760410727; -1; -1; -1; 655865774; -1; 119746307; 52679316; 968228123; -1; -1; 607004664; 20539642; -1; -1; 516712133; 417618407; -1; -1; -1; -1; 366670461; 247486256; 777551870; 721695319; 841524825; -1; 326988836; 100420031; 887317807; 638527263; 564786241; 567923970; 452362285; 881748574; 813532089; 88825125; 862793588; 42954760; 413415178; 903881466; 468784089; 936435741; 604693536; -1; 921100082; 663610296; 648043490; -1; 550610369; 454773665; -1; 112170857; -1; 794276843; 297998752; 287169701; -1; 239608222; -1; 692708169; -1; 668309760; -1; 117130757; 303769031; -1; 391974976; 884348141; 80663140; -1; 256672692; 802768792; 896939879; 392188678; 505073361; 724101564; 610538685; -1; 422172957; -1; 183597657; 336648395; -1; -1; 153086658; -1; -1; -1; 980354754; -1; -1; 709688720; 582026672; 202660207; 429835136; 522593155; 474714949; -1; 959078543; 144300988; -1; 87108478; 652674562; 944891783; 481274140; 792454400; -1; 569833705; -1; 796289405; 47647020; 674148624; 320088136; 274728767; 620185209; 871262990; 428839072; 776237960; 411668299; 709090989; 343140312; 9491871; -1; 901006586; 416343351; 688261844; -1; 933677055; -1; -1; 969991417; 3727981; 427139017; 593873018; -1; 557843455; 531400685; 761467580; 41805089; 90542668; 839387379; 341451028; 893881910; 123836284; 32777831; 500072390; 610078375; 491078236; 853671496; -1; 588833261; 989046051; 436072787; 937689412; -1; 785653550; -1; 100816461; 15522412; 98323237; 133015149; 371748659; 864927735; 935455530; 325109939; 377386326; -1; 343399716; 675410986; -1; -1; 121745273; 442925115; 847802069; 922614246; 323158118; -1; 192493749; 954917693; -1; 627381816; 205791719; 837031359; -1; 490758712; -1; 545191434; 989252159; 720095961; -1; 193648082; -1; -1; 422656336; 802885052; -1; 637970158; 472935160; 889301394; 641645048; -1; -1; 727350540; -1; 264144864; 548580853; 260883475; 425320049; 749821294; 723919824; 694521495; 307669889; 37192862; 126109413; 152354160; 438622183; -1; 856398761; 160134258; -1; -1; 932636860; -1; -1; 308883672; 649038842; -1; 543199242; 310419011; 108847315; 992872268; -1; 317325215; 71218641; 166331132; -1; 477078775; -1; 594994861; 865651479; -1; -1; -1; 347911290; 223560092; -1; -1; 524857048; 417427079; -1; 620042493; 164429315; 758949580; 571049353; 879621731; 107822209; 488797940; -1; -1; -1; -1; 848577238; 234722942; 841668380; 176708290; 250712010; 633026569; 769353950; 910539840; 263611591; 812611629; 450106016; 146358978; 431911691; -1; 22429509; 945573614; 791994714; 368605078; 891628002; 4848515; -1; 170220318; 975112465; 763163818; 565558563; 214045021; -1; -1; -1; -1; 461660555; -1; 687365941; 970518852; 548704016; -1; 148752543; -1; 157196023; 295560438; -1; 94748143; 641834290; 551969456; -1; 252942935; -1; 484325016; 259789482; 430264687; 323712947; -1; 70573977; -1; 852058574; -1; 104236409; 438723847; -1; 580489004; 200491244; 75612112; -1; 540653896; -1; -1; 904083801; 776344321; -1; 455024408; 946815445; -1; 720851549; -1; -1; 607382730; 188379769; 886554321; 189787806; 15139663; 651116434; 81674295; 476505276; -1; -1; -1; 619540699; -1; 721692934; 617844066; 777740597; 288181602; 256752179; 410216120; 654262187; 822960956; 167659802; 192095011; -1; 537767053; 800930333; -1; 265647128; 198323932; 843371299; 350726590; -1; 663038051; 502855775; -1; 914559699; -1; 601164817; 127367331; 167886586; 7022170; 715164457; 421843877; 264329789; 806009759; 1962536; 897776492; 353866150; -1; 111365532; 256165781; 753972633; 101237616; -1; 722778897; 872393940; 371941386; 12703658; 725695164; 964893172; 822441677; -1; -1; 200148155; 185593360; -1; 298691854; 906177229; -1; 820905457; 587829227; 857674031; 825385814; 388615128; 863544420; 540259408; 210111189; 420487299; 18933411; 254276718; 547194917; 798882759; -1; 141273458; 134344396; 2690906; -1; 3043466; 571249898; 602352681; 983783923; 420249690; -1; -1; -1; -1; -1; 772094645; 237828882; -1; 777242842; 487300074; 528271822; 711984542; -1; 235618080; -1; 949261942; -1; 519438786; 679416892; -1; -1; 433629922; 562836160; 102889050; -1; -1; 329980620; 536727519; 486185817; 10499583; 903932889; 303035268; 536787827; 621756691; -1; 443968365; 416561889; 458463066; -1; 830829366; 611636191; 485793582; 860787964; -1; 90061578; 537248458; -1; 719103421; -1; -1; -1; 671184528; 7003149; -1; -1; 212734836; -1; -1; 198398045; 181965944; 887033977; 451741357; 133990940; -1; -1; -1; -1; -1; -1; 883164362; -1; 490321060; 221204369; 597541103; -1; 380205997; 574305070; 415377065; 851071243; 510738526; 912021266; 938459834; 233328409; 84763415; 967432344; 107491186; -1; 352456436; 675631107; 218379675; 437444236; 582979365; -1; -1; 970132849; 865300104; 240507926; 349774329; -1; -1; 489908183; 348556730; 472488983; 472632858; 56456019; -1; 994221940; 652131115; -1; -1; 255949533; -1; 283626136; 274448912; -1; -1; -1; 212295173; -1; 301688153; 371167287; 236908888; 661589001; 36552313; 248595288; -1; -1; -1; 909134395; -1; 585039182; 71860839; 952644422; -1; 744788292; 966908196; 309042744; 871227380; 528875365; 199930744; 735635826; 853381264; 479963284; 383163584; -1; -1; 710423095; 394376468; 106244974; 275069368; 96425487; -1; -1; 505688611; -1; -1; -1; 297966671; 515848609; 374586776; 287892143; 619289320; 930456900; -1; 549290099; 195435635; -1; 603816584; -1; -1; -1; -1; -1; 823199123; 527273134; 373719448; 408565499; 536098035; 33773236; 761809037; 781160884; 419932644; 860564866; 742551318; -1; 884282222; 154982258; 466956162; 219276301; 993160075; 655212945; 928927252; 326173231; 876374433; 711361455; 275990866; -1; 253958174; -1; 9458324; 751599602; 757135839; 951237231; -1; 254642101; 111658771; 645280898; 313981084; -1; -1; 311116110; -1; -1; -1; 609363530; 279573533; 455057373; 665911525; 793481119; 844396851; -1; 43666317; 382565409; 92581422; -1; -1; -1; 693876863; 682291440; 504366904; -1; -1; -1; 280088320; 803439895; 267369074; 209852599; 812012447; 483770936; 211637371; -1; 876965986; 470021843; 914609713; 525519652; 816145766; -1; -1; 590206000; -1; 883090599; 889480125; 655185951; 411941936; 457768515; 55832434; 224148057; 913520767; 590186375; 596088017; 170970792; 473108663; -1; 204129841; -1; -1; 231572324; 594017997; 491321692; 270602228; -1; 302944655; 652024930; 286023189; 645212579; 35548557; 247910842; 961568802; 922347401; -1; 657669892; 271572018; -1; -1; -1; 653613304; 864090910; 71733957; 395038019; 763657794; -1; 727483980; -1; -1; 253641663; 818730859; 438952788; 872935681; 826192104; 9152351; -1; -1; -1; 871621100; 267211949; 362122892; 660052855; 417973688; 573353939; 92461782; 733210223; 155529973; 108947844; -1; -1; 163682112; -1; 187016681; 684311819; 76055916; 364010880; 106407702; 664098047; 283566782; 738988387; 465924000; 362450538; -1; 366607728; 975716493; 845825583; 298504721; 224972870; -1; 358523899; -1; 767996800; -1; -1; -1; -1; 173413684; -1; 577175585; 3009121; 937997637; 976985962; 17855380; 518162002; 572501254; 748379456; 937021248; 37026164; 156318828; 310297739; -1; 389150577; 709572072; 340905459; 718318716; 592090523; 277168897; 268926642; -1; -1; 356604523; -1; -1; 746175788; 800029145; 586193462; 116065399; 769934898; 347479358; -1; 826399203; 883012957; 768009439; 175560197; 762961709; -1; 347948361; -1; 245146464; 491276477; -1; -1; 349249437; 521119605; -1; 473307554; 273105238; 202602552; 809042980; 937234224; 303663262; 338068023; 47549578; 684898010; 694494706; -1; -1; 990358157; -1; 333293766; 532985713; -1; 385967062; 681667305; 897681; 629266233; -1; -1; -1; 118499205; -1; 271555227; 733663225; -1; -1; 30689098; 238611761; 186418309; 914129752; 501461247; -1; 20320355; 361005033; 620521550; 433040447; -1; 357630134; 977605097; -1; 778960577; 452481187; 775247078; 949303649; 957540906; -1; 901943092; 283822835; 203951776; 746009059; 794290087; 494385151; -1; 436343991; 199992175; 578244243; -1; 141304375; 104101809; 348322419; 967746613; 371760863; -1; -1; 350894530; 119014617; -1; 702739511; 261979454; 267726651; 52304073; 430681644; 357780144; -1; 153615448; 575814378; -1; 642290267; 200734494; 110833041; -1; 672020479; 939476823; -1; 377696537; -1; -1; 403639183; 232032211; 606283251; 634631367; 673890424; 112827576; 756061188; 665651662; 687998186; 211396037; 497172098; 337632769; -1; 892990740; 320653983; -1; 88701434; 434026929; 201367100; 34649445; -1; 4299787; -1; 952943551; -1; 161416603; 592091661; 568478943; -1; 854341739; -1; -1; 690365249; -1; 197118469; 666401562; 786623139; -1; 940150866; 845828177; 984106704; -1; -1; 842757763; -1; 337300612; 180146444; 686134112; -1; 164889832; 843304869; 924881751; 553668981; 177930911; -1; -1; 852644035; 614287947; 374498102; 882113144; -1; 460282606; 111909252; 450621476; 333635428; -1; 285482456; 318943233; 457168203; -1; 408185836; 544928378; 136746931; 96644878; 198298045; 426952393; -1; 628927179; 758160678; 689238453; -1; -1; -1; -1; 861450773; 733627456; 994377295; 5741062; 594390831; 304863439; 142693454; 119638497; 968416438; 180824223; 149979760; 851111626; 538672426; 954599677; 485874586; -1; 343068058; 736369703; 764279978; 873194190; 568498303; -1; 755450464; 868202392; -1; 751362819; 412473056; 522307366; 506761539; 757259374; -1; -1; 676813317; 617119024; -1; -1; 598665399; 620855388; 130029321; 494245796; -1; -1; 543027601; 719472723; 954393420; 949987392; 186053102; 395826643; -1; 335109782; -1; -1; 466281509; 766012682; -1; 410217129; 861353401; -1; 434800461; 327696757; 704839487; 365080914; 406729459; 345909352; 968842934; 164827021; 273226849; 761983995; 407656223; 862187696; -1; 69116852; 372393529; -1; 962178812; 548080795; 653740417; -1; 911169273; -1; 995491028; 266252317; -1; 952905496; 916287052; -1; 923543898; 308020722; -1; 460648792; 300573855; 172676977; 258455915; -1; -1; 574303177; 789908041; -1; 852111547; 604953617; 93732586; 103452002; 904305133; -1; 126312428; -1; -1; 967051663; 535100886; 222406951; 475755933; 204608033; 513835614; 990449335; 364904240; -1; 784789336; -1; 952073089; 468660428; 506709811; 893618835; 687271751; 346027846; 471589573; 109877314; 787708599; 946813727; -1; -1; 806131115; 336694291; 670815112; 294804573; 893888424; 351025250; -1; 705311764; 23184014; -1; 504392758; 939943406; -1; -1; 670085208; -1; 84987774; -1; 241875162; 236612216; -1; -1; 344214129; 800267016; 369023540; 28085460; 859513539; 91363564; -1; -1; 455978055; -1; -1; -1; 70978134; -1; 922721385; -1; -1; 813324320; 893572751; 639464012; 393927764; 953206103; -1; 789071753; 87423675; 844312394; 751476446; -1; 139443831; 501698534; 600092174; 979473519; 27754474; 679077932; 260697211; 785412911; 832774410; -1; 508431105; -1; 334865088; -1; 542934931; 531253638; 247747286; -1; -1; 266612554; 274551372; -1; 60906773; 273636357; -1; 63924807; 317526782; -1; 416473027; 439325218; 937786177; 340387928; 58810860; -1; -1; -1; 275503870; -1; 616180391; 927788102; 813409930; 460054568; -1; 856122237; 241710105; 900751477; 395761203; 96272570; 86129802; 919569161; 802008804; 113146987; 452175385; 948167269; 535542681; 298271228; 829900461; -1; 237231269; -1; 63337099; 366154339; 730199769; -1; 503880923; 339775675; -1; 689277374; 919397379; -1; 827892007; 427525800; 160346223; 320911649; 258326040; 276533392; -1; 427287332; 190744674; 814864321; 204555597; 1605484; 634765456; 509054171; -1; -1; 452743450; 425177083; 536765217; 391920136; 878986406; 128362007; 449567347; 583160206; 651869906; 689817085; 907581290; 777481408; 317730255; 308254214; 303790555; 365249705; 423963930; 790854643; -1; 128850206; -1; -1; 511624908; 911402191; 726848474; -1; 533805318; 326783237; 492480606; 646201445; 447501667; -1; 177459451; 676251846; 429539810; -1; 184185531; 496809349; 718205787; 419954607; -1; 320455569; 28338169; 255639373; 960903313; 560205798; 731053680; 867639486; 627125841; 156982250; 944296318; 753301318; 129189242; 696212702; -1; -1; 643523657; -1; 110923922; 749565983; 163313441; 472568972; -1; 535689342; -1; 124355243; 788395443; 856506333; -1; -1; 521118137; 828246640; 332390679; 937777484; 630631531; 879320822; -1; 523902144; 150174343; -1; -1; -1; 666606954; 500056893; -1; -1; -1; -1; -1; 280113447; 350742465; 883133729; 575732475; -1; 537983025; -1; 511441188; 253106166; -1; 788805935; -1; 769538323; 370192000; 868181725; 491358037; 57192662; 921659811; 154501707; 17596592; 292382359; 284498511; 620992825; 294995112; -1; 183212534; 631142103; 956200578; -1; -1; 869955339; 351014547; -1; 822482940; 564667; 570053060; 275047423; -1; 48195015; -1; -1; 625745691; -1; 803301051; 722943860; -1; 839152673; 644531514; -1; 277557308; 724118260; 52003164; 229339516; 72825826; -1; 341698585; -1; 370298567; 740608469; 573479412; 268986903; 736313896; 534604179; -1; 377292804; 26726917; 635534509; -1; 983669846; 744939833; -1; -1; -1; 53384364; 25399937; 881695165; -1; 544703512; 437827908; -1; 965380391; 441493324; -1; 684488216; 823714641; 283025968; 171661469; 520675496; 165132760; -1; 281389026; 707598856; 50984371; 755414809; -1; -1; 341783532; 867324681; 714376218; -1; 158287853; 915215775; 302863779; 928258968; -1; -1; 793264773; 594588006; 315631100; 310542130; -1; 627739474; -1; 708780499; 264609498; 289963822; 245669163; 141152489; -1; -1; 124346202; -1; -1; 661629041; 59409787; 731183061; 77960310; -1; 859101909; -1; 339557472; -1; -1; 264713013; -1; 132352623; 753233175; 835335135; 976048524; -1; 17550177; 225998389; -1; 819467104; 911454161; -1; -1; 991953735; 125004527; -1; 562165621; 667155038; -1; 390005863; -1; -1; -1; -1; 268340341; -1; 77798878; -1; 132917216; 125175175; 232482520; 394185455; 516386255; 735138555; -1; 296469122; 926868672; 617400158; 954004113; -1; -1; 460193183; -1; -1; 807479414; 109009992; 226170562; 736860439; 685944075; 733667635; 592895327; 472296849; 512416821; 344547139; -1; 815464523; 749017827; 703605433; -1; -1; 178409993; 591202024; -1; 733362585; 291779707; 562194893; 80214344; 251324276; -1; 764501890; -1; 660191225; 511050691; 585684784; -1; 226739802; 214142312; 514083184; 286806133; -1; 309956713; 769961899; -1; 975006749; -1; -1; 839753764; 870975133; -1; 345924133; -1; 374944167; 410987943; 902254812; 610951827; 619172533; 241181748; -1; 168492620; -1; 331863169; 897945392; 784157707; -1; 804900901; 594004403; 697156697; -1; 95903813; 350657782; 879561992; 623007069; 397299876; 701001076; 357355940; 300045620; 265736959; 314242112; 907549174; 635290474; -1; -1; 987284562; 944009031; 270803275; -1; 118892169; 426147986; -1; 471063254; -1; 277157824; 561098725; -1; 725361006; 642910232; -1; 338901730; 112421960; -1; 577818050; -1; -1; 167810070; 230982844; -1; 216854696; 514873150; 171463268; 728057291; 728849329; -1; 981683485; -1; -1; 977457191; -1; 273147947; 69730048; -1; -1; 880433553; 169067017; 701833831; 134826948; 128820602; 638757853; -1; -1; 379958484; 6201565; 380704812; 667867601; 693238045; 148538403; 96192446; -1; 707468630; -1; 651470069; 488423782; 825732768; -1; -1; -1; 538888033; 142354157; 442968142; 968248162; -1; 257410307; 33017496; 193390403; -1; -1; 278556191; -1; 568155836; -1; 622855965; 892262678; 607634646; -1; 68036582; 933976444; -1; -1; 462727638; -1; 313474271; 7673791; 670345602; 411764978; 403164132; 135729244; 851234347; 240974478; 58520389; 216824625; -1; -1; 523095305; -1; 46451510; 515987574; 104447534; 375650055; 233253393; -1; 733138230; 698889145; -1; 834435891; 987564542; 234460996; 232478480; 347028665; 680187150; 374176958; -1; -1; 713524320; 482009985; 111164944; 76087087; 571955917; -1; 678193464; -1; 494932869; 637622231; 953958010; 472608123; 285156183; 311159526; 87101139; 200738066; 251202441; -1; 358415684; 411824003; -1; 822373198; -1; -1; 587183125; 300385420; 415988314; -1; -1; 512899309; 480487580; 362630940; -1; 925732689; 98551437; 737474798; 811672297; 427594825; -1; 702815016; -1; 966638190; 250811618; 481390581; 942104185; 599261410; 540920119; 483311836; 560578699; -1; -1; -1; -1; 379796722; -1; 758581678; 93142889; 732725275; -1; 828108367; 582006604; 942930244; -1; -1; 647199828; 791973748; 720414769; 465669527; 729061313; -1; 914781804; 387102059; 909676462; -1; 693235954; 416509695; -1; -1; -1; 294507165; 550059644; -1; 972576159; -1; 417820125; 779158640; 669217627; -1; 305572129; 551553431; 271655498; 755189976; 801832092; -1; -1; 230129517; -1; -1; -1; 217264123; 984302183; 167243525; 731815283; -1; -1; -1; 454969273; -1; 541355758; 28408462; -1; 792167574; 187556901; 264389121; -1; 732481262; 232371609; 256737972; 317988896; 170628197; 401738238; 89161924; 624332647; -1; -1; 364127697; -1; 903269102; 717540661; 83654409; -1; 840113731; 785115880; 416590426; 682229184; -1; -1; 503753445; 294861064; -1; 160499731; -1; 428843455; -1; -1; 146617242; -1; -1; 431803878; 670871584; 454587301; -1; 527609885; 73330810; 637240404; 201898161; 930394432; 627115105; 397516787; 359381172; 211769147; -1; 380120860; -1; 423235468; 850233053; -1; 157668995; 861904025; 479532139; -1; 583884572; 8438526; -1; 750547198; -1; -1; 16455333; -1; -1; 252698275; -1; 104024806; 190799968; 849279551; 804978538; 612892611; -1; 98989246; -1; -1; 828643125; 972111601; -1; 543157994; 719200689; 261370243; 520998344; -1; -1; 732924879; 96149779; 995819615; 492480148; -1; -1; 687434104; 932376409; 153069835; -1; -1; -1; -1; 396966311; 579826326; -1; 913642652; 177440393; 458469232; -1; 612560502; -1; 506224524; -1; -1; 207437913; -1; 359933547; -1; 881178006; 807100483; 146524501; 904074801; 809932419; -1; 337747669; 244532389; 447377090; 240790787; 553952377; -1; 357523654; -1; 499859853; 149785294; 455833250; 503719203; 559655933; 55816350; 684556768; -1; 613539838; -1; -1; 112526727; 181332717; 221144899; -1; 887021090; 278862102; 58497659; -1; -1; -1; 987026458; 685695280; 95321028; 405030385; 968299734; 43007697; -1; 351164553; 904378623; -1; 335810854; 362414856; 537397505; -1; 835060536; -1; -1; -1; -1; 834653468; 15189916; -1; 58213873; 230118617; 361429513; 373854670; 778025579; 704645798; 362966998; 698244612; 312433189; 727080087; -1; 489640538; 890513070; 554663133; 154215357; 196282219; 661620754; 453701154; -1; -1; 612393821; 765438221; 265917166; -1; 105980268; 738394388; -1; 826541244; 241856081; 457553113; 59852497; 700563239; -1; -1; -1; 351597241; 551567003; -1; -1; -1; 937111701; -1; 128739876; 767732239; -1; 388485093; -1; 30813955; -1; 726224918; 616557177; 341427922; -1; 599798575; 341534957; 151307183; 22445966; -1; -1; -1; 999939538; 662994817; 752517335; -1; 95950470; -1; -1; -1; 147881885; 234049574; 159631585; 676677861; 290986260; 948254269; 986327200; 219976916; 849858734; 219591241; 400064233; -1; 51701039; 220744657; 221768393; -1; 56877584; 104338350; -1; 27730932; 573356863; -1; 488531469; 824746954; -1; 419350143; 190945232; -1; -1; 280326719; 177969734; 132516352; 359137813; 129504662; -1; 112977348; 349299693; -1; 359083297; 408308752; 96348003; 767003056; 601232899; 864788522; 122505193; -1; 652536678; 330209620; 797014908; 191915874; 111749391; 931111887; 63021881; 779263290; -1; -1; 552350542; 333824994; 397247437; -1; 556558361; 280126830; -1; 6554703; 323617856; 695740620; 270822931; -1; 84694269; -1; 244062411; -1; 794729443; 411093406; 624003057; -1; 100040430; 576498830; -1; 487176886; -1; 107162720; 504768151; 778912418; 771795996; 102669127; 556220074; -1; 709521021; 767966463; -1; -1; 409782374; -1; -1; 658382299; 998872859; 619201297; 734262422; 628750215; 123687805; 624242939; -1; -1; 106556679; -1; 348591556; -1; 525130275; 491831486; 427788027; 419374772; 530097227; 306584796; -1; -1; 77218962; 804547642; 159361473; 624587109; -1; 382736889; 584995213; 84470208; 204842914; 566374692; 203025758; 345383186; 192594766; 167907871; 288390534; -1; 384948586; 154931649; -1; -1; -1; 287087871; -1; 865434219; 282989746; 424833207; 118480092; 98607051; 672620208; 933715367; 153549809; 463722928; -1; 352503513; 509986511; -1; 154866006; 356258852; 910287283; 84245838; 8425011; -1; -1; -1; 294312116; 995637828; -1; -1; 800608554; 615680668; 211141909; 35262192; 706399618; 813902122; 74992951; -1; 23418994; 338097402; -1; -1; 449254700; 499790978; 95924780; 904130330; 229948175; -1; 798912719; 202044843; 216235000; -1; 435355550; 683974604; -1; 116899222; 506549590; 777794715; 667058603; 860369161; 988036116; 133337354; 544774099; -1; 424743800; 6620275; 847892038; -1; 877642316; -1; -1; 701518376; 418589666; 438236578; 75343804; 583722816; 766747259; -1; 268565085; -1; 916097682; -1; 927046332; 640509827; -1; 95839762; 199686419; 942506032; -1; 491204536; 10445186; -1; -1; 879293269; 911671561; 610869444; -1; 329082946; 711751899; 655933926; 929888220; 351715125; 314147821; 11551036; 969487409; -1; -1; 462858190; 561918829; 676595991; 745047164; 962655734; -1; 227349320; 621960709; 380820351; 792254941; 881821747; -1; 182527482; 24287488; -1; 819986523; 138447545; 263400259; -1; -1; 724775450; 189802118; 742414358; 417248034; -1; 981396319; 976642151; 473182197; 864020911; 676799005; -1; -1; 286610107; 37768602; 652307379; 730842136; 514892751; 67786390; 100806314; 244074015; 975614563; 949704145; 627424351; -1; 50421684; -1; -1; 774024105; 146509283; 172234338; -1; 405883144; 341699762; 590084921; 332580811; -1; -1; 397373286; 8524379; -1; -1; 148248287; 934509961; 74179652; 527501819; 524756479; -1; 777962798; 510217466; -1; 31710170; -1; 599571044; 419944093; 89457042; 522273703; -1; 562928353; 103423247; -1; 109586025; 314112351; 575275341; -1; 829011922; -1; 129900180; 438867958; -1; 87566171; 688864125; 561607611; 630864110; 485639786; 802111927; 779297939; -1; -1; 524916755; -1; 353939018; 382809102; 292292444; 482033982; 476012231; -1; 772279258; -1; 274774485; 48938117; 206781713; 705697491; 382210253; 849365409; 187344384; -1; 896710930; -1; -1; -1; 897965335; 56461925; 803428482; -1; 815351104; 964259198; -1; 590266638; 47076766; 603461244; 495441406; 942933663; 614620949; 903310827; -1; 235649403; 849467315; 6687953; 892510735; 704272012; 711310501; -1; 910617913; 196964898; 699142470; -1; 747177062; 546722756; -1; -1; 872692345; 874239184; 13765083; 763613160; -1; -1; -1; 579021474; -1; -1; 384759184; 27839251; 61924578; 557291473; 800653020; 664337761; 229434715; 54404470; 767764129; -1; 505474; 488342006; 12801211; 562629174; -1; -1; 860125322; -1; 862045282; -1; -1; -1; -1; 893215115; 686620420; 631179534; -1; 357354980; 221083259; -1; -1; 929978278; -1; 311137851; 487679712; 987717801; 515997114; 748645858; 883315913; 4039777; 151953796; -1; 796384388; -1; 841866448; 97131578; 795137504; 855588295; -1; 87085404; -1; -1; 171787449; 460736410; 182262886; 714205169; 569178407; 104396675; 767264181; 89656716; 845011403; -1; 469219376; 878065964; 503852522; -1; 763578927; 941159670; 410845054; 6938884; -1; 769159161; 103097392; 442170450; 649342373; -1; 693030653; 375745159; 749915378; -1; -1; 172284604; 90978836; 763654913; -1; 234315259; -1; 494825571; 68197780; 902916530; 576820304; 869028428; 664532315; -1; 476634957; 45697614; -1; -1; 594610156; -1; -1; 991673382; 758515099; 734459221; 581198766; 590421764; 845639982; -1; 400047567; 259596729; 305358721; 529892557; 22896757; -1; -1; 314538845; 106171351; -1; 68201826; 80480379; -1; 130883508; -1; 627912556; 767012172; 584010945; 81412091; -1; -1; -1; -1; -1; 524797902; 956123925; 78741782; -1; 591012188; 641060782; 895604263; 541926185; 772909164; -1; 122797071; 537724148; 849919823; 197107514; 50984978; 268816861; 120277494; -1; -1; 909173596; 400035334; -1; 195131786; -1; 737258337; -1; 49921556; 644049672; 474314492; 961649681; 939437392; 179577294; 786870522; 973724507; 443888014; -1; -1; 315476781; -1; 644057722; -1; -1; 857016046; 647526083; -1; 946690094; 25310396; 470115021; -1; 856793518; -1; 390599005; 813372887; 70657309; 412510038; 545928171; -1; 210787164; -1; -1; 693354276; 782699787; 481473344; 925360740; 79667323; -1; 314948208; 394888324; 122073337; 420616579; 168144795; 3280495; 69274722; 262602735; 552975833; -1; 590981965; -1; -1; 886535032; 536354507; 461586013; -1; 538224569; 788018693; 388070090; 940268762; 170953311; 3446348; -1; 674515671; -1; 178981897; 490473961; 204825680; 898564330; -1; -1; 123346016; 278532707; 934830403; 319784282; -1; -1; 114986150; -1; -1; -1; 419827673; -1; 7219927; -1; -1; -1; 867112432; 985009202; 457240675; 677439664; 649065106; -1; 146616287; 798629022; 2780391; -1; 297194933; 68113636; 485360794; -1; -1; 654973097; 429181956; 998303265; 330356927; 999895411; 134279409; 596222699; 407929149; 888780868; 574157671; 557591328; -1; 127327638; 281344041; 425552480; 232362527; -1; 680418945; 453129161; -1; 918903300; 839617052; 868465949; -1; 138733485; 784520738; -1; -1; 545599951; 174987181; 889218942; 608283311; 737081800; -1; -1; -1; 514008391; -1; 4688665; 636898245; 912193615; -1; 244982285; 59169047; 873788916; 768514983; -1; -1; -1; 221455559; 529351290; 981937934; 751273466; 566656627; 776140823; -1; -1; -1; 445100637; 953918268; -1; 381938258; 765669769; 193039555; 371966626; -1; 380422464; 517567244; 379413781; 838988959; 216376058; 462535695; 2468059; -1; -1; -1; 988765597; -1; 318631691; 494289655; 84523357; 630963992; 688277810; -1; 688507554; 974268578; 793922009; 578448275; -1; -1; 735961270; 106884437; -1; 26522993; -1; -1; 939236086; 195202064; -1; 802441856; -1; 513017111; 970692280; -1; 924846499; -1; -1; 621559075; 926935798; 773730865; 338979582; 530142829; 420624974; 844114779; 267321373; -1; 172994746; 403464990; 632013688; 749994496; 754186800; 780658041; 314982894; 32775745; 865098830; -1; -1; 645413812; -1; -1; -1; 474806298; 284793294; 589970361; 743490949; 497731734; 557965271; -1; -1; 629088096; 226855430; 545860775; 983398404; 148443688; 596483481; 758854369; 60217399; 653966958; -1; 7034881; 638806448; -1; 740515575; -1; -1; 718775718; -1; -1; -1; -1; -1; 733482803; -1; 806793079; 319897842; 251759551; 196994859; -1; -1; 427905509; 532471736; 283895542; 712041752; 593380063; 933947804; 901881542; 816611440; 993655281; -1; -1; -1; -1; 291562129; 205948045; 60716453; 178187612; -1; 788835796; 465034877; -1; 714108605; 287274562; 668024896; 51124866; 813612422; 369546246; -1; 533741736; 169249016; 464292830; -1; -1; 580644665; 882358293; 363681148; -1; 641638278; 402920398; -1; 687486062; 286274350; -1; 542425779; 167192943; -1; 192628655; 827457051; 528613318; 150997036; -1; 55104924; -1; 236965271; 476468065; 245161541; -1; 215362857; 887066618; -1; 452730912; 260823026; 671681999; 437146023; 535413657; -1; 483043338; -1; 65564804; 265616566; 580885583; -1; 84950495; 778637911; 340335872; 341996535; 798648647; 307275416; 259123950; 523426818; -1; 138500183; -1; -1; 313445613; 945794666; 247634687; -1; 693010484; 903120165; 433448096; 504808275; -1; -1; 939522014; 841331683; 834530287; 372180069; 895010852; 751835887; -1; -1; 269893083; 774593399; -1; -1; 693982773; 103851432; 929349457; 674863764; 618698916; 80731743; 498349694; 445560072; 474352183; 623594150; 630750531; 382740826; 176001478; 188373044; -1; 257576717; 746944762; 664089351; 688798942; 633919823; -1; -1; -1; -1; 320874267; 749915212; 150075962; -1; 623455898; 311461541; -1; 109509168; -1; 887718560; 67433755; -1; 848617388; 672486174; 458184766; 842999409; -1; 311024327; -1; 982460151; -1; 83251436; 147624248; 617107638; 731933983; 593707222; 393557702; 727104554; -1; 804263427; 638475404; -1; 287200488; -1; 150415155; -1; 709399724; 925311945; 843626159; 692712300; 319308073; 706628690; 227497627; -1; 118130604; 673037418; 315029328; -1; 306913173; 157002504; 73315021; 797230178; 976144581; 492213920; 29326813; 294284544; -1; 609294317; -1; 187209357; -1; 942037781; 429083867; -1; 116571555; -1; 55283760; 847391376; 218588122; 682305506; 110522468; -1; 80976812; 687521611; -1; 817189133; 85834682; 700855071; -1; 462356391; -1; -1; 856678921; -1; 856608910; -1; 145777033; 330980644; 939783524; -1; -1; 177912900; 421020362; -1; 796501143; -1; -1; 405406231; 667369062; 305470670; 96381788; -1; 186188036; 24643054; 148444535; 321628948; 765075182; 748615743; -1; 699958635; 481188044; 84840403; 945918130; 70745892; 327551260; 583813444; -1; 656927077; 51581204; -1; 825438817; 550366306; -1; 5482305; -1; -1; 647582059; 375860579; 139552921; -1; 794613706; 133010599; 421377956; 438147472; -1; 74821934; 595215856; 969859036; 262264096; 264024733; -1; 825211213; 490556101; -1; -1; 657223805; 106456220; 103988280; -1; 184524345; -1; 158414141; 138242801; 815254432; -1; 829150211; 938107073; 253181255; -1; -1; -1; 173859046; 27922808; 802331569; 337187939; 373217040; 619372337; 246548391; 404815648; 744297695; 748850530; -1; -1; -1; -1; -1; -1; 610309661; 437751553; 988645447; 978615976; 148489483; 943198722; -1; -1; 317246451; -1; 984038584; -1; 859369954; 264079827; -1; 337162964; -1; 55923516; 608990646; 549145227; 846306809; 611653065; -1; -1; 315553005; -1; 986515248; 321465325; 235698953; 46085429; 370286858; 587720602; 649060061; 135819438; 706704661; 663936187; 49547298; -1; 12226078; -1; 507403216; 684500285; -1; 138134828; -1; 971286367; 108867263; 973319173; 541025637; 402306341; 649371455; 228905948; -1; 135445533; 990749478; -1; 90466101; -1; 493676792; 804492487; 808808507; 249906151; 77463129; -1; 358510166; 605134212; -1; -1; -1; 524535943; -1; 421764465; 517562978; 440143173; -1; 335667973; 243662472; 142098842; -1; 365250461; 28269551; 914217599; -1; 973763429; 462719050; -1; -1; -1; 166827440; -1; 665454181; 962318287; 617359783; -1; 982363774; 368093345; -1; 591360183; 278046727; 660076485; -1; 114700288; -1; 230920224; -1; 477402081; 83316584; -1; -1; -1; 697492314; -1; -1; -1; -1; 892248783; 363929304; 623591788; 618607860; -1; 247495834; -1; 568479396; 289760432; 222645128; 831427858; 424642560; 387694574; 3987930; 121751455; -1; -1; 564269870; -1; 898665090; -1; 100329902; 296857025; 581244553; -1; 874118198; -1; 55675476; 883658846; 512074215; 46350608; 402459174; 733808743; 794036397; -1; 74830626; -1; -1; 316271261; 273444615; 606940849; 870741127; 335968970; 120730088; 453974570; 282625562; 768469444; 360990821; 512580336; 207722651; 429266014; -1; -1; 877220026; 709673269; -1; 946124799; 545429528; 626931872; 426533340; -1; 307118082; 931189335; -1; 83485424; -1; 274088424; 822640131; 851376692; 866055830; -1; 683808814; 206225453; 919494749; 909336383; 15558785; 307115456; 126021420; 549691464; 865795014; 787125848; 79903591; 412906559; 857637047; -1; -1; 62177674; 548952831; 297231180; 329560827; -1; 419545591; 84255372; 473439912; 31668364; 10306416; 797384530; 192125716; 389469837; 906942366; 819167016; 176497116; 537404472; -1; 346276359; 895443670; 761098097; 454969817; -1; 646540067; -1; -1; 686127493; 507639083; 717364399; -1; -1; -1; 868946682; 989415373; -1; 878291037; 262388148; 27970948; 866658431; 34215803; -1; 918638063; 961770935; 638075163; 662060830; 124739337; 595547500; 360211908; -1; -1; 698628643; 114922556; 879879124; -1; -1; -1; 552752297; 359916947; -1; -1; 875250599; -1; 867369414; 220016734; 146784594; 656071447; 308469102; -1; 571443445; 110060265; 5707691; 888997996; 218507852; 294546518; 302445433; -1; 456966296; -1; 277321679; 613133032; -1; 916596051; 775266920; 569123943; 770415378; 116490384; 125086714; 563513743; 183765312; -1; -1; 224580857; 189370959; 595430602; -1; 113187731; 215245971; 433070481; 784482744; 629079666; -1; -1; -1; -1; 271586960; 204182901; -1; -1; 583415707; 683507866; -1; 5307104; 64279982; 803282636; 620967169; 804321256; 5541543; 276475058; -1; 214535211; -1; 19794757; -1; -1; 86961715; -1; -1; 215485163; -1; 268409206; 571105953; 394586450; -1; 575986319; -1; 149124764; 825048608; 181293642; -1; 722490443; 363838912; 231171182; 220426638; 50293824; 792302323; 926070922; 927197235; 301155779; 757729442; 858431307; -1; 559706002; 612965669; -1; 518500253; 446582997; 248846438; 272904611; -1; -1; 782493678; 190297211; 239346538; 189150321; 633438329; 91245993; -1; 680929267; 607540564; 20820064; 627150071; 477206459; -1; 481773519; -1; -1; 408071162; 581708769; -1; 332421909; 292704115; 453220448; -1; 412335343; -1; 720512663; 994783462; -1; 689797152; 762165062; 549655010; 575765428; 525422261; -1; 692746806; 915954740; 646373045; 302153532; 879215026; -1; 842960151; 271097516; 813179623; 872657376; 11801729; 833610303; 38629049; 332099367; 889687475; 644881175; 246226649; 134181366; 639722088; 446650710; 4572265; 242629323; -1; 700023405; 782921990; -1; 971366097; 530218597; -1; 183744590; 970415186; -1; 217462032; 135130873; -1; 719088804; 659011698; 302675952; 180419445; 448869262; 459231492; 300062899; -1; 629226777; -1; 589295495; 560365645; 245860650; -1; 488738730; 677950754; -1; 304861584; 908666026; -1; 738173420; -1; 855705941; 679749080; 406317343; 558254200; 619336517; 491222454; 450052080; 128022796; -1; 311460071; 412302949; 75511776; 502256944; -1; 891448112; 214403096; 704117866; 414731930; -1; -1; 601162618; 468743827; 612809339; -1; 565201349; 960473333; -1; -1; 841134190; 474037427; 406966509; -1; 99136678; 956931820; 454184206; 957379489; 562849953; 440540780; 590569409; 523411773; 254321464; -1; -1; 250010012; 515164102; 631036860; 398403978; 36214304; -1; 860114421; 997273296; 520372140; 310682031; 288722840; 209679807; 639415545; 477087614; 366386540; 726537251; 976256793; 720639573; 76783691; -1; 713249850; -1; 172832166; 924035685; -1; 676013683; 478098537; 529964082; 87615630; 921468770; -1; -1; -1; 345302116; 635865352; -1; 634343086; 561865398; 442266381; 12421117; 8231390; 758100469; 890769810; 627516012; -1; 998347953; 995457570; 233899776; 488670483; 540492519; -1; 460850951; 734884186; -1; -1; 335112447; 732549038; -1; 1140653; -1; 773462559; 952411008; 43526770; 587838408; 285871295; -1; 236239604; 476955566; 356615949; -1; -1; -1; 570404141; -1; 314808739; -1; 659252716; 503083427; 112669187; 612115156; -1; -1; 405231095; 338374466; 93496225; 401146824; 900583071; 685767554; 752592059; 429707624; -1; 960970676; -1; 839377384; 385813626; -1; -1; -1; 491018727; 409671932; 929188898; 177227250; 524686223; 22894608; 306811437; -1; 291321202; -1; -1; 532985558; -1; 416167007; 620183836; 884188670; 468950923; -1; 802405520; -1; 759609725; 593180107; 706955552; 530716319; 463475251; 609252879; -1; 138300154; -1; 649204883; -1; 186847538; 545594546; 482088119; -1; 53061918; -1; 240976517; -1; 554534173; 99188368; 27397184; -1; 23729606; -1; 863072038; 745140677; 230070976; 828795697; -1; 225106440; 252666310; 232136460; 230343799; 712876894; 556594718; -1; -1; -1; 855532444; 801753862; 99674644; 186201791; 276651350; 61044776; 180290626; 639424; 254354233; 725957341; 717825415; 365390348; 104397223; 946673140; 263648569; -1; 762402371; 317731890; -1; 185683628; 897771661; 584402255; -1; 454869902; 325000686; 95520386; 357551064; 252037460; -1; -1; 644222180; -1; 544381397; 815757225; -1; 34991066; 925768089; -1; 397899963; 941781645; -1; 406334596; 405372459; -1; -1; -1; 390778522; -1; 512856040; 497692822; -1; -1; 460703095; 872279110; -1; 919827848; -1; -1; -1; 465569530; 518537778; 56075130; 280695047; 534958425; 754025084; 716546485; 982966357; -1; 775022368; 360408460; -1; -1; -1; -1; 781556307; 978054427; 665403367; -1; 114678873; -1; -1; 29530526; 661720764; -1; 55635985; 225475274; 877701578; -1; -1; -1; -1; 582888796; -1; 126211029; 31469375; 875907501; 483776472; 230684028; 416888907; 445600566; -1; 158710470; 864201695; -1; 480751285; 117174196; 20258344; -1; 494831844; 241468418; 38780284; 36545250; -1; 87378988; -1; 978153771; 461032488; 726448963; 266287652; -1; 394619966; 956059900; -1; 895908690; 402743360; -1; 514055802; 728657656; 719856224; 408778399; -1; 958187799; 561487057; 886427029; 929024795; 28898080; 718478982; 511675186; -1; 956891139; -1; 592450001; 336096500; 725785697; -1; 84946699; 426581598; 505152585; -1; -1; 963894978; 488104468; 148296319; 589111089; 657169472; -1; 33744714; 805436505; 746180131; 929041622; 552878209; -1; -1; 572271009; 378539294; 443251385; 336477999; 243724567; 93547617; -1; -1; 137287435; 749572893; -1; 473772163; 813089628; 511919414; -1; 432440803; 199758187; 796168743; 832202469; -1; 426521534; -1; 829286227; 311764167; 683272583; 521072906; 810828827; 319913813; 77454259; 92078311; 250684676; 78482364; -1; 256570960; -1; 263376122; -1; 178881351; 418405950; -1; 228102045; 132654227; 699979385; 104224130; -1; 18696729; 291317654; -1; -1; 55198059; -1; -1; 413054144; 664629761; -1; 289140637; 913979658; 788220773; 864102193; -1; 833311753; 944670715; 408903983; 293615945; 997356522; 224831004; 505658151; 388777169; 345564289; 500222960; 62417566; 813960533; 197188674; 480934333; 262804567; 32006768; 104485753; 779641224; 737698857; 253280614; -1; 261599272; 10318214; 450386765; 101705561; -1; -1; 971900232; -1; 924102967; 473709721; -1; 735478932; -1; 697661143; -1; 867105463; -1; 245963379; 470290392; -1; 36505690; 159867620; 400404509; 42625794; 722267893; 710042196; 736354135; -1; 686480745; 197318085; 979312567; 716421130; 89035; 978961085; 925291383; 19078064; 656936462; 993679542; 263678525; 713431445; -1; 883619727; 765285990; 200894245; 726831465; -1; 914668643; -1; 223591083; 862587089; -1; 64308220; 734779419; -1; 215924033; 756821477; 746444797; -1; 19143861; 211904550; -1; 282638827; 638461971; 872560751; 790333456; -1; 799017761; 797280871; 794644521; 447871199; 109494449; -1; 19748904; -1; -1; 414684562; 239235558; 542475768; -1; 828507733; -1; 948580639; 512650444; 51753806; 936140632; 756071535; 285112074; -1; 137464286; 718157555; 269307320; -1; 44998908; 896783028; 156708206; 330038911; -1; 435467002; -1; 767707226; 890535000; 675945353; -1; 302183675; 904570407; 166608698; 115286694; -1; 112870898; 25993534; -1; -1; -1; -1; 106575580; 920844190; 102985699; 843576962; 769167214; 428381868; -1; 581334563; 60857639; 117018394; 378496482; 421620542; 223034354; 838630780; -1; 704289428; -1; 810106055; 693822716; 707452945; -1; -1; -1; -1; 903392144; -1; 787058100; -1; 78273506; 958973659; 290735357; 22969408; -1; 776622901; -1; 255035779; 975139857; 809983297; -1; 30743843; 275461; 802048457; 711167746; 961783499; 6253526; 567492099; -1; -1; -1; 803445445; 437933033; -1; -1; -1; -1; 3131357; 777096145; 696895626; -1; -1; -1; 58059119; 803263617; -1; -1; 381051608; 484319431; 33713782; 677348577; 214164775; 88313253; 754284989; -1; 641737724; -1; -1; -1; 480399834; -1; 282564432; -1; 452750084; 91864699; 568037304; 461064096; 579196291; -1; 962871683; 486081646; 426216156; 618126377; 884841535; 215043328; -1; 831163646; 955791078; -1; -1; 623765649; -1; 219988000; 847618542; 318915948; 454188152; 864856853; 941570028; 74045336; 819692988; -1; 189902226; 490838584; 541910834; 29553755; 988477931; 390377478; 402820826; -1; 717728412; 318120470; 758048402; 618086541; 253123732; 755877508; 594041550; -1; -1; 543827176; 417721502; 742335190; 467655788; 245711939; 129193921; 671486944; -1; -1; 577767970; 545635805; 676391515; 769052156; 889193304; 986370862; 704670208; 830641073; 111651117; 16443478; 840980561; 642107082; 161549639; 668379921; 646195980; 77013867; -1; 544349231; 420304942; 447598180; 344577787; -1; 648528323; 309679710; -1; 590840040; 399538720; 635934797; -1; -1; 467306247; -1; -1; -1; 940126638; 344882309; -1; 146961806; 336390606; 15670594; 891590582; 320328197; -1; 276372776; 134068233; -1; -1; 194442419; -1; -1; 46483234; -1; 633819644; 736942696; 382688648; -1; -1; 681156176; 749687269; 5968671; -1; -1; 39268319; 678426100; 586411954; -1; 411458848; -1; 723878596; 279953077; 336629344; 835165324; 179834565; 385837319; 844580813; 397458953; 629200226; 788715139; 10848533; 902392026; -1; 111242705; 608268348; 97132236; -1; 603215592; -1; 150896018; 541891697; 808532814; -1; 268756405; -1; 566700813; 40113144; 547069793; 101465505; -1; 503987413; 421353634; 31000413; 467751033; 59804392; 878454525; -1; 328986855; 555086579; 622885408; -1; 777372761; -1; 802323177; 300274870; 405504820; -1; 795398016; 988499608; 416929812; 694811621; 153173176; -1; 187812375; 925341539; 765078155; 373399337; 678504639; 501026766; 153113718; 678303926; 340352693; 110721851; -1; 690560396; 86652834; 634830660; 954423336; -1; -1; 74311009; 191818642; -1; -1; 122819894; 965211621; 434017091; 961411243; 622729857; -1; 531722011; -1; 559700410; -1; 362986664; 901929462; 926958142; 346850354; -1; 784800694; -1; 57389583; 898582125; 295929033; -1; -1; -1; -1; -1; -1; 368116940; -1; 34149997; 424577294; -1; 839962138; -1; 839550226; 506193402; 30392416; 504784517; -1; 736888931; 653735335; 211755831; -1; 619363772; 646857021; -1; 274214848; 851814648; -1; -1; -1; 582274440; 744829882; 872474123; 780864604; 449971872; 122671853; 758006832; 709110027; 769017133; -1; 190682838; -1; -1; -1; 27801625; -1; 386944346; -1; -1; 742944379; 917212012; -1; 647911812; 549361353; 665053342; 854131281; 838369910; 68908659; 251424292; 827584346; -1; -1; 222202856; -1; 924880091; 866397559; 643834987; 587133385; 125398247; 952980635; 522409404; 132820530; 524932747; 488620864; 309710784; -1; 528740976; 564307137; 141074572; 507780420; -1; 12458827; 161732136; 382046460; 859634317; -1; -1; 606574165; -1; 372854591; 371593619; -1; -1; 360388236; -1; 567758002; -1; 199476899; 836601954; 385257878; -1; 779530861; -1; 386390589; 769803074; 977775758; 936638813; 802649774; 220375397; 49140008; 785556105; -1; 914642057; 404223888; 730884312; 240712093; -1; 192375381; 393239027; 163899242; 683873823; 948538785; 295189465; 951038455; 981859186; 312991170; 897202773; 357458061; 91551877; 702082392; -1; 463315848; -1; 330331229; -1; -1; 414113346; -1; 115310459; 512024387; 602119893; 680979694; 131214595; 616457064; -1; 212681406; 309899843; -1; -1; 405028735; -1; 337712516; 478384003; -1; 450684162; 896345784; 618290682; -1; 134741707; 305731437; 658158816; -1; 431923499; -1; -1; 500955448; 82935772; -1; 10900244; -1; 137952675; 270993548; 323201821; 62984121; 369379188; -1; -1; 257908447; -1; 910113059; 11751730; 301842112; 957703343; -1; -1; 777204421; 841742016; -1; 121242579; 531291281; 708254060; 199494339; 781047794; 823466105; 575288727; 340368948; -1; 668422739; -1; 912038042; 452829535; -1; -1; 566899725; 361629343; 574804921; 338076394; -1; 289050720; -1; 933781716; 634378361; 973485092; 890435101; -1; 854979471; 742984457; 702860046; 87638955; 981894969; 644792954; 110304757; 940748628; 69402910; 340493881; 576596168; 340560270; -1; 300485718; 953602077; -1; -1; 277536150; 334644253; 222016513; 608626665; 152605129; -1; 963416305; 344593179; 613076111; -1; 776480363; 672312554; 740538383; 68699977; 362735625; 445091130; 575031085; -1; 522190316; 995023291; 819028956; -1; 335637478; 288897641; 650172938; 593010900; 774269471; 831547259; 335019333; -1; 521582193; 166418346; 618327153; -1; -1; 63365315; -1; 516008815; -1; 208658177; 819733048; 682684039; 539841283; 478418331; -1; 776777732; -1; -1; 307010260; 20600826; 679008314; 756243257; 557663719; 134073396; 79891584; 432753264; 530054425; 367926825; -1; 708033716; 256855081; -1; 508399388; -1; 466248189; 536877412; 469420098; -1; 516179897; -1; 973242060; -1; 178256612; -1; -1; 362150432; 368577552; 557501389; 623152201; 415079321; -1; 241701066; 522874893; 331356147; -1; 995714263; -1; -1; -1; 264378772; 184916754; 416645432; 5514278; 377074524; 115497460; 767624129; 232492734; -1; -1; 907303399; 689708934; -1; 715923480; 63275757; -1; 219007742; 754047715; 433375047; 134375893; 619074537; 895458460; 954902835; -1; 569024737; 775508539; 70513132; 25581259; -1; 260155399; 274319415; 118845978; 3452597; 348434267; 870682363; -1; -1; 593423991; -1; 692852794; 112502220; 765037704; 7384247; 15566531; 143608135; -1; -1; 529267806; 525408383; 235119545; -1; -1; -1; 293058273; 646740265; -1; -1; 526378535; 158067907; 928427599; 639092103; 845850280; 470005921; 174969680; 784240022; 607906812; 413702004; 82729784; 878238086; 759890346; 35115319; 946223184; 398682508; 517812886; -1; 83699819; -1; 986338146; 676790991; 345948671; 817460756; 956564879; 87124629; 496307441; 65710233; 211641465; 508436412; -1; -1; -1; 935135006; -1; 639688032; 730465333; 28612276; -1; 807145335; 724994527; 847903760; -1; -1; 791588847; 107902711; -1; 398691918; -1; -1; 272751275; 591141747; 421709264; -1; 499820018; -1; 479694283; -1; -1; 97426793; -1; 683166426; 902163665; -1; 582051546; 522573469; -1; -1; -1; -1; 253541687; -1; 102946088; -1; 122407466; 766028736; 589279652; 162952430; -1; 243043069; -1; 9815845; 290264705; -1; -1; 485749774; 834009963; 417092228; -1; 900475054; 694018107; 283017861; 491219571; 368096537; -1; 623213949; -1; -1; -1; -1; -1; 880281059; 501931161; 932747547; 442743796; 857621700; -1; 387704660; 610292068; -1; 49223296; 54166479; 660929766; 509869953; 206242869; -1; -1; 921959995; 812618294; -1; 143933907; 17271713; 389215463; 911095590; 332633752; -1; 362522344; 514875425; 322944339; -1; 711312188; 332677761; 103979837; -1; 28543875; 285199625; 70787014; 746330935; 411799885; -1; -1; -1; 141542780; 381730257; 626192693; -1; 346228635; 410932838; -1; -1; -1; -1; 357820769; -1; -1; 769232244; 241946344; -1; 235284838; 661283196; -1; 671585516; -1; -1; -1; -1; 366003530; -1; 903934498; -1; -1; -1; 542430372; -1; 131095498; -1; 619763452; 496059300; -1; 230948945; 622328665; 975309418; 223148218; 643409153; 104014014; 903416285; 205599299; 819032872; -1; 798689505; -1; -1; 100054609; 359682398; 868217905; 937475050; 643190846; -1; 547871420; -1; 451236903; 728289103; 90197919; 344592586; 989587302; -1; 969191523; 983774835; -1; 738586339; 113003683; 389594973; -1; 700512658; 952870639; 796071406; -1; 765218831; -1; 852560940; 590405672; 459066159; 326101688; -1; 687943895; -1; 403228267; 987060781; 845214412; -1; -1; -1; 452686934; 57591394; 328902897; 736280592; 155814192; -1; -1; 339465048; -1; -1; 478794900; -1; 124333054; -1; -1; -1; -1; 910999394; -1; 471690900; 996709590; 898721535; -1; 182910678; -1; 809410481; 250645793; -1; -1; -1; 993286552; -1; 126393786; 801703280; 177852035; 937212341; 507640931; 748664482; 853585707; 613564757; 292575178; -1; 246008833; -1; -1; 283139088; 789074741; 693358722; -1; -1; 157231154; 915096494; 285016510; -1; 579168723; -1; 956395303; -1; -1; -1; -1; -1; -1; 229782492; 407561171; 895316785; -1; -1; 369215753; 431310951; -1; 495221400; -1; 337172083; 284235553; 549265816; 497476649; -1; 164679649; 128833159; 911427666; 235397201; 153206657; -1; -1; -1; 30390570; -1; 913144780; 165446808; 286973513; -1; 825737601; 490862703; -1; -1; -1; 916925266; 221260476; -1; 399175678; -1; 715380556; 431529015; -1; 465091577; -1; -1; 31231167; 810439916; 948282961; -1; 56215144; -1; 34761503; 871425042; -1; 537527143; 772739273; -1; 211233440; 703845568; 700254284; 700790884; 473124886; 196958000; -1; 127971064; -1; 185482903; -1; 932081087; 824702528; -1; 468965016; 821266021; -1; 8292185; 214428676; 987088414; 801422292; 349028079; 350774146; 269725849; -1; 830933783; 981391237; 991936371; 889303881; -1; 437082661; 566030094; 44463818; -1; -1; 446201697; -1; -1; -1; -1; 555652757; 573054460; 242469905; 107210705; 465538756; 598408223; 664847276; 247996377; -1; 109713889; -1; -1; 136259040; 31393948; -1; 174628150; 4484718; 871953885; 61311261; 601868259; -1; -1; 689336427; -1; 131010274; 650556020; 877778199; 78107219; 893924629; -1; 42534178; 7887697; 15960064; 578930259; 98912474; 375419136; 622340499; -1; 168055078; 279336569; -1; 153734504; -1; 763030775; 350876721; 442323924; 880131291; 55573622; 529527277; 189973649; 208132948; 841300705; -1; 930812807; 190031920; 960927091; 67820981; 976902055; 250940884; 344468386; -1; 773511294; -1; -1; 633229090; 283071751; 993027419; 925793698; 500787228; 346855839; -1; 522035374; -1; 137036583; -1; 204633455; 958251067; -1; 955762786; 13726454; -1; 77696826; 540635069; -1; 358958489; -1; 269769628; 242035881; -1; 985989279; 655497793; 223308121; 296723334; 868656156; 571617142; -1; 288977; 183754885; -1; 227068742; 155342477; 913556084; 15007895; 586991826; 800788845; 469431889; 962456890; 281365414; -1; 313253605; 624224498; -1; -1; 685095036; 78572267; 896600790; 463563283; 720776779; 766532037; 725741117; 684586709; -1; -1; 141807796; 907100947; -1; -1; -1; 416263962; 222739462; -1; -1; 890731336; 225255804; 145476209; 754151426; -1; 310026981; -1; 146215318; 712923055; 837958437; 264217700; -1; 47010681; -1; 829413219; -1; 248647485; -1; 684037657; 861300480; 51000751; 74855520; -1; 157410811; -1; 966411794; -1; 555422393; 419701421; 716449186; 9628054; -1; 268654590; -1; 334273186; 338461114; 234605302; 159450985; -1; -1; 465798499; 999744431; 117718591; 843700106; 39293959; -1; 116204918; 590634861; 253777103; 576365774; 77347293; 397975485; 571211193; 249745207; 820265973; 230256631; -1; 982756582; 551759646; 888901046; -1; -1; 73370612; 553898262; -1; 61233828; 746968386; 386118172; 556924870; 65017903; -1; 597596721; -1; 130366615; 722113330; -1; 275910320; -1; -1; 239852182; 739541058; 953801563; 527792014; 745536726; -1; -1; 341110802; -1; 275739340; 910249508; 699779979; 160077892; 16675919; -1; 485679418; 9574971; 579846104; -1; 104824207; 835372709; -1; -1; 158541663; 465390692; 638075005; 767191334; 660391883; 361114809; -1; 766746141; 582265887; 647715674; -1; 442984220; -1; 23531671; 142332190; -1; 995707569; 601263928; 523802297; -1; 68252902; 642234864; 525283716; 939471874; -1; 884799332; -1; -1; 319839700; -1; -1; 47286468; 63073079; 964242128; 714925547; -1; 336143938; 874952326; 654844296; 861769500; -1; -1; 520669086; -1; -1; 300542845; -1; 1001692; -1; 339845118; -1; 255050403; 991951134; 809194237; 149938420; -1; 880821891; -1; 674082415; 464048542; 167011659; -1; 709519312; 17305303; 799348629; 461367911; 272501961; 606433299; 715360494; 926568504; 114852108; 99040553; 513203861; 254249992; 976997089; -1; 919070527; -1; 841100591; 275014106; 460386138; -1; -1; 446049777; 212938826; 118091086; 141780255; 356440008; 814792332; 589032509; 701715098; 745225677; -1; -1; 588907617; 901084880; 461911374; 592596382; 800879612; -1; -1; 433801811; 46065979; 331650939; 729879445; 470112568; -1; -1; 85934820; 773541644; 974297743; 85894886; -1; 359397223; 760387117; 233767999; -1; 121205412; 78158875; 78352651; -1; -1; 262513554; 467787995; 150825789; 285642350; 472812563; 986269368; 903292737; 166366163; 684056595; 88222439; -1; 689599340; 910844393; 719246795; 718223678; 489400898; 813750596; 221299; -1; 875021964; 405506043; 5141879; 390431289; 113616669; 84078075; 566466526; 568780776; -1; 696667943; 417073448; -1; 410624641; 268636625; -1; 775145455; -1; -1; 701260790; 826911675; 484225598; -1; 332096164; 385798059; 463676067; 204412973; -1; 898875329; -1; -1; -1; 709725631; 730882993; 245311123; 158265603; 152152854; 650873382; -1; -1; 466535576; 127470130; 611021533; -1; 985844058; -1; 960922287; 656291188; 964678714; 883725442; 938709281; 403577991; 769015259; 798189012; 220790775; -1; -1; 847469461; 958611119; 858488655; 205582786; 632996449; -1; 631178432; -1; 199017396; -1; -1; 259769644; 485864092; -1; -1; 517588430; 444049993; -1; 63832416; 619551699; 337221821; 496523429; 371328414; 317195515; -1; 241781400; 21142975; -1; 86159114; 672710177; 606600614; -1; 53386150; 552291929; 375054482; -1; 785385210; -1; 445117260; 470757224; 802928609; -1; 446903007; 578915217; -1; 249925430; 397927539; 742827168; 657977847; 753098135; 250062149; 593447907; 771857119; 927553053; 132615787; -1; 420762986; -1; -1; 28940888; 722269360; 362711995; -1; -1; 728444007; -1; 425854336; -1; 701567347; 568495105; 236387049; 226170531; 976627117; 245192266; 893946509; -1; 942882916; -1; -1; -1; -1; -1; 372142319; -1; 49809650; 279530411; 95732432; 539262113; 556309703; 902714411; 246585457; -1; -1; 389783243; 694869647; -1; 41636791; 509047630; 797686519; 342287589; 825419845; 845590255; -1; 762272652; -1; 148704640; 530122782; 772350438; 395436339; 519908544; 648369507; 914574942; 860384471; 879596600; -1; -1; 685738545; -1; -1; -1; -1; -1; 627274740; 682204007; -1; 272526279; 111037702; 711280082; -1; -1; -1; 163757593; -1; 764128213; -1; 337957710; 735734126; -1; 211681986; 101873622; -1; -1; 549047858; 367033868; 567487565; -1; 205518315; 632557621; -1; 805878051; -1; -1; 336442790; -1; -1; 632695466; 603443422; 23341370; 53520266; 679601437; 515527555; 494516344; 598444334; 241568091; 924955769; 441502540; 267064863; 339129449; -1; 299204964; 46739483; 61372587; 560940105; 6662414; 711156769; 486472644; 217196312; 582666441; 763301492; 120913993; -1; 601290584; 738586359; 67126285; 605080882; -1; 153872166; -1; -1; -1; 715049949; 288715260; 940689295; 980208417; 124235272; 422372121; 307201456; -1; 336536440; 215417870; 742679896; 121038732; -1; -1; 447885731; 473791081; 456651284; 461491700; -1; 428402833; 839092759; 181435240; 727601586; 383846046; -1; -1; 923931756; 644341061; 211486476; 237936002; 489209495; 325261086; 417143450; -1; -1; 600591339; 664327952; 363706441; 13526632; 706332269; 70731655; 974789283; 15267642; -1; 158500674; 222081447; -1; 238326467; -1; -1; 611858764; 520153615; 583217368; -1; -1; 303714252; 223771790; 328184405; 474701658; 131754001; -1; 996932839; 694383605; 320105510; 558689842; 21509162; 756438747; 845657697; 309971605; -1; -1; 187643835; -1; 978930678; -1; 85154821; 176241645; -1; 628456452; -1; -1; 79044635; 408753551; 216867706; 980496873; 828219133; -1; 243054765; 458946670; -1; 180131989; 546233065; 443096270; -1; 953716982; 34001236; 311266632; 173598806; 785984650; 158284675; 121083892; 188280931; 392908194; 239319036; 148317795; 486809752; -1; 669776194; 519474125; 119405977; -1; 626115975; 585620154; 947673457; -1; 776661207; 38995122; 476436922; 94715468; 387237729; -1; 172167089; 107520513; 683450765; -1; 13634912; 796026027; 792165422; 489103359; 796600457; -1; 804842830; 894482821; -1; -1; 566354742; 996414633; 272690370; 253793439; 53790263; 270810335; 964692679; -1; 200251125; -1; 739905858; 455586127; 463116090; 344952127; -1; -1; 887571357; 994806255; -1; 21170289; 38391499; -1; 469833865; 181910500; 381600944; -1; 86363342; 205833717; 857240419; -1; -1; 393210090; -1; 437485258; -1; 564797366; -1; 753975139; -1; 878099453; 202844369; 543649373; 236055327; 124327057; 289150279; 705586893; 599764396; 235116714; -1; -1; 565551945; -1; 41821176; 919757258; -1; 25872056; -1; 278071382; 183573116; -1; -1; -1; 916948368; -1; -1; 531390413; -1; -1; 168895349; -1; 733908511; 696223383; 748585417; 402403959; 662815314; 817244738; -1; 867874275; -1; 30733793; -1; 499845276; 748669252; 986905781; 387930402; 927269780; -1; 805462355; 328425987; -1; -1; -1; -1; -1; -1; -1; 497366688; 523413560; 810115492; 248410036; 453456145; 262649219; 644096151; 43563806; 778265162; 674091272; 713412555; -1; -1; 901454070; 375647481; 791793561; 781679239; -1; 261639192; -1; 589256173; 958326113; -1; 323965761; 963788232; -1; 687069458; -1; -1; 682715343; -1; -1; 446409324; -1; -1; 762690625; 692097869; 770245063; -1; -1; 374485546; 809829452; 551034844; 153999596; 777137577; 19879119; 728645736; 737168409; 509745959; 80611352; 827026904; 921297063; -1; -1; 942539061; 993895871; 554756488; 376825975; -1; 503919758; 124410570; -1; 869299787; 417315975; 153961061; -1; -1; 890773778; -1; 733454232; 607569086; 591808148; 225622186; 589389615; 147017636; -1; -1; 612320864; 975907536; -1; -1; -1; 460465690; 511110269; 660174426; 778467361; -1; -1; 318815163; -1; 787084476; -1; 562306394; 807534501; 254844645; 842610787; 311617721; -1; -1; 406484522; -1; 981893454; -1; 986294990; 927073884; -1; -1; 139496491; 18005729; 574605679; 327371680; 182124779; 740085239; -1; 658455443; 628575670; 974240434; 469714574; 323943106; -1; 310733381; 502520905; 229792753; 56777385; 719194227; 459815925; 426454763; -1; 855540725; 421252549; 37633780; -1; -1; 303934889; 534286219; 130547470; 922618308; 343963062; 961236195; 370617007; 98108103; 454785097; 428726155; 145921372; -1; 587829284; 604612257; 543888615; 394421127; -1; 288600061; -1; 781106616; 414047906; 587653833; 853775667; 777115974; 756031995; 929952839; -1; -1; 905108761; -1; 914157251; -1; -1; 483614254; -1; -1; -1; 998828570; 301650106; -1; 975533022; -1; 623660551; 316280062; 485054729; -1; 328438298; 875255330; 325612561; 728990299; 327682617; 375602407; 232934840; 430161577; 516679366; -1; 732813981; -1; 369613149; 441099010; 582427234; 682414558; -1; 427774524; 170818488; -1; 864383838; 581977223; 725931229; -1; 441677439; -1; 719819169; -1; 310497952; 366167359; -1; 429587093; 375506000; -1; 717897692; 357045618; 663575303; -1; 396487034; -1; 395069284; 286277879; 873754650; -1; -1; 613067117; 745742682; 867136210; -1; 440218097; 713289359; 972903286; 716692788; 336143581; 825838857; 732914969; 304930291; -1; 970555260; 171811317; 620718750; 618459274; 382831351; 106370556; -1; 484809623; -1; 23552855; -1; -1; 299541059; 747879125; -1; -1; 995059233; -1; 825492539; 901021505; 657221798; 503477840; 543375307; 264508307; 516659518; -1; 844821896; -1; -1; -1; -1; 322469790; 343951914; 467734342; 841014064; -1; -1; 81523181; -1; 983851063; 982998844; -1; 287365118; -1; 843487323; 828550892; -1; 700874155; 532257586; 930344065; 834109709; 493184445; -1; 318347964; 716894317; 820890886; 365902651; 716299734; 755698805; 738835522; 391210650; 320430532; 306346802; 718352761; -1; -1; 754696133; 772426216; -1; 611911871; 648208389; 329856921; 438303168; 781217504; 786864487; 71525628; -1; 77808913; 638280819; 572707649; 866289832; 933244510; -1; 721432058; -1; -1; 840159673; -1; 451137687; -1; 805795924; 359743205; -1; 728397852; 904470689; 400189470; 969298351; 934173191; 610873655; -1; -1; 973833065; 820614492; 987289809; 134306003; -1; 867777456; -1; 524390647; 320355996; 307676807; 597270381; -1; -1; 102928615; -1; 763244451; -1; 299953613; -1; 818186161; 75913005; 378571992; 395142167; 174700346; 928562321; 797605932; -1; 841170166; 463592713; 636294064; -1; 346352272; 649058334; -1; -1; 101965407; 637591651; 214887140; 692456972; -1; -1; 248974359; 763887195; 551104502; 585115884; -1; -1; -1; 898097062; -1; -1; 495010635; -1; 194511203; 699553036; 944773498; -1; -1; 580960946; -1; 537059382; -1; -1; 678540200; 695679309; 879444100; -1; 966168458; 423909026; -1; 551310881; 346153402; 409074608; 947254889; -1; 440575965; 489124400; 382101948; -1; 389218971; 860268904; 600222159; 528383868; 889867192; 624414364; -1; 90189281; 514317450; 524338926; -1; 519557117; 416524122; 282768849; 418075472; -1; 173412072; 474665132; 947319806; 69176401; 929433816; -1; 102829759; 652729083; -1; 805363012; 920396178; 205531728; -1; 581128878; -1; 114615028; 243471517; 179469851; 341586908; -1; -1; -1; 480635471; -1; 432137176; -1; -1; 372788409; 751749773; 46843494; 747726906; 201984968; 666813551; -1; -1; 767113932; 13255036; 534208460; -1; -1; 420764403; 535879678; 29256746; 717132743; 940662817; -1; -1; 91262120; 406436736; -1; -1; -1; 492943983; 760321537; 599468704; 692875525; 133695824; 920799977; 199883239; -1; 842435511; -1; 856555265; 448941622; 891524603; 14570226; 544494473; 138968750; 41333598; -1; 366877308; -1; 326087955; 292505418; 694026942; -1; 208841670; -1; 83922099; 937073346; 655953387; 279496082; -1; 517229527; -1; 874631354; -1; 133451082; 363874757; 251187377; 168708967; 433427804; 264556543; 590154250; 69729514; 858343579; -1; -1; 741109591; -1; 170460787; 737111725; 997522543; -1; 448290784; 700030731; 738856489; 108004543; 711879416; 725296346; 130907454; 975248204; 152306951; 941125079; 145780120; -1; -1; 18198259; 121255516; 324154711; 493788055; -1; -1; -1; 433918424; -1; 400810303; 136970428; 208171632; 68660468; 887977127; 736752704; 200499227; 110573252; 61771740; -1; 418422484; 85270770; 717249789; 724927804; 231160823; 807642009; -1; -1; -1; 102744278; 133734917; 762582150; 882890020; 642266540; -1; 724832596; 333380526; 762430658; -1; 441339790; 178463752; -1; 170132421; 93795478; -1; 468523906; 498569576; 33885828; 986909926; -1; 98333490; -1; 205477999; -1; 629840913; 254480213; -1; 913432817; 819079981; -1; 776309636; 578531546; 232420405; -1; 86114269; 986585757; 3639860; 139731931; -1; 802356468; 526607324; 195551879; 526563173; 660404853; -1; 90070246; 11067926; -1; 959822486; 803387876; -1; 55151904; 592993000; -1; 232351489; 292357482; 150188007; -1; 501569446; -1; -1; -1; 989523430; -1; 919218856; -1; 691039635; -1; 995772932; -1; 240703488; 985416351; 346216320; -1; 932549375; -1; 391125558; 268811480; 157791522; 277917112; 990920277; 139310029; 403198292; 175692278; -1; 633688271; -1; -1; 572115067; -1; 583591158; -1; 753338702; 353026252; 862411477; 981046973; 500720869; -1; -1; 89669856; 823584964; -1; 247093091; 67358494; 392587381; 925178251; -1; 153496604; 914587033; 777311272; 149491872; -1; 299918015; 829627832; -1; 218204594; -1; 450333073; -1; 529117152; 926313594; 96649121; -1; 21348692; -1; 235887493; 53716924; 33566567; 680336836; 151298161; -1; -1; 3993506; -1; 804305098; 524035350; 902766361; -1; 814046630; 255405953; 22724317; 396175298; 21993925; 855760274; 645742101; 746899272; 587982926; 553740917; -1; 944275691; 600690225; 50706625; -1; 915955613; -1; -1; -1; -1; 999197575; -1; 814879163; 765659877; 253546410; 382306850; -1; 115578571; 622214487; 218765112; -1; 193753982; 683696790; 897326230; -1; 750068973; 294567953; 66512692; 643562063; 643330298; 769000339; 101918049; 419857314; -1; 332369299; 208135968; 879193078; 497624437; -1; 95477886; 603905711; -1; 792575643; 226967446; 358490809; 345700632; 7650427; 695846997; 485496991; 961115407; -1; 686735076; 321029562; 238626203; -1; 719410221; 218903202; 514497713; -1; -1; 422227734; 37402203; 883419394; 236657115; 790881591; -1; -1; 928761786; 738717083; -1; 749586145; -1; 169338571; -1; -1; 51305925; -1; 748977939; 634962736; 632583707; 826227889; -1; 894041002; 104919130; -1; 26887538; 244572969; -1; 629126298; 839708079; 305029236; 794035648; -1; 535245281; 555242831; -1; 644585627; 492250499; -1; 620025264; 906926844; 883637159; 302504635; -1; 354417256; 219270947; -1; 99663046; 909200935; -1; -1; -1; 317654502; 572894192; 312048842; -1; 315242315; -1; 135764644; 651012388; 423663205; -1; -1; 181020642; -1; -1; 868354243; 979374262; 841979196; 587623827; 186916651; 537643070; -1; -1; 933662752; -1; 367728821; -1; 604345745; -1; 593424609; 705627196; -1; 306532340; -1; 595168715; -1; 859327631; 13276847; -1; 507400559; 626252326; 86662208; 651470360; -1; -1; 742849727; 242432116; 923241878; -1; 477214334; 740121708; -1; 817758538; -1; -1; 415965361; 49326914; -1; 106106701; 322765233; -1; 655441097; -1; 494954369; 567272480; 828616468; -1; -1; 87661482; 795680441; -1; 303414992; 327517303; -1; 471548215; 859017822; -1; 864633969; 190085050; 653314402; -1; 391900259; -1; -1; 146909861; 11605089; -1; 692422376; -1; 718634763; 574383562; 366671700; 648586528; -1; 56274392; 332063702; 524374330; -1; 965819065; -1; -1; -1; -1; 399326624; 700324384; 909375749; -1; -1; 277191408; 840907294; 976691005; 502830984; 71555480; 378522707; -1; 610740885; 525482816; 813798031; 57822995; 646299897; -1; 828841298; 120851694; 20854718; 583472669; -1; 994524585; 20319124; 485649888; -1; -1; 395400130; 868783110; 163138551; -1; 971384631; 52349999; 321722711; -1; 891750353; 801792675; -1; 311564395; -1; 70790379; 702636507; 245180713; 850257999; 565567649; -1; 506016084; 915623437; 112923521; 441290791; 192026996; 402126522; 653115104; 153933629; 183914677; -1; 522709285; 811423487; -1; 453999793; 899142719; 508117566; -1; 573975351; 201672485; -1; 195920109; 166142609; -1; -1; 112348449; 789329284; -1; -1; 626935595; 229563822; -1; 358810718; 845873577; -1; 754400018; 206461618; -1; -1; 502032070; -1; 426459985; 121236466; 92660217; -1; 49800406; 52773928; 83747631; 329507425; 534746931; 122359582; -1; -1; 965881810; -1; 26582998; -1; 31198655; -1; -1; 810541423; 372069419; -1; 563208075; 915074914; 71222644; 636128734; 131932984; 819687501; 979902474; -1; 277129874; 438273962; 468406792; -1; 836888520; 702739177; -1; 265143562; 652030852; -1; -1; 650509147; 760308349; -1; 336355587; 176964156; 361533586; 28305482; 343827386; 727532330; -1; -1; -1; -1; 290269083; 896186328; -1; 804232878; 48673315; 284116716; 1514252; -1; -1; -1; -1; 176599889; -1; -1; 432106291; 788746553; 270851234; 24793922; -1; -1; 651974601; 817125474; -1; 54313865; 49082522; -1; 884279621; 245528713; 776198327; 219732212; 256726093; 876769772; 643101896; 117730245; 160362003; -1; 216835731; 231870338; 911446610; 545436929; 645352973; 941556358; 718655557; -1; 253888258; 932877642; 472510297; 683406297; 482823511; 486298283; 548993933; 473871706; 30753579; 247673705; 169158237; -1; 304658674; 69630246; 841119859; 885928825; 690803799; 978565108; 595991760; 327632197; -1; 710624073; 179260447; -1; 734534677; 639053604; -1; -1; -1; 526780365; 366427989; 288120008; -1; 27754857; 907857604; 792847918; 29518374; 827966995; 600011518; 773924052; 66548261; 748110830; 748820980; 231719632; 598661892; -1; 600078759; 886248889; -1; 818268900; 488156160; -1; 955163725; -1; 679951050; 730089104; 593006704; -1; -1; 644016237; 625188212; 39016653; 952148676; 720392934; 715547195; 335225709; 943088474; -1; -1; 255261356; -1; -1; 666793413; 941774003; 653963224; 732089475; -1; 11991154; 67668552; 58823244; 272583532; 12975854; -1; 841587; -1; 899794136; 977447087; -1; 631983843; 842520345; 80368438; -1; -1; -1; -1; 67786804; -1; 441604888; 789003674; 31957647; 872932978; -1; 287222330; 820815138; 138139676; 39289802; 550820568; 407351242; 213233374; -1; 677786955; 397395427; 102355658; 348619800; 587346047; 893525081; 117768408; 327160370; -1; -1; -1; -1; 966326786; -1; 402435945; 538489284; -1; 731721366; 246692554; -1; 110859496; 901422437; -1; 900949283; -1; 175101733; -1; 71796169; -1; 659429211; 915687486; 931233133; 492577475; 240766945; 356763770; -1; 677858800; 33486671; -1; -1; -1; 630273339; 169819967; 711681397; 638307731; 753019469; 708408944; -1; -1; 281544820; 749220029; -1; -1; -1; 73893456; 232152372; 885065334; 97263925; 51435453; 104468356; 476692486; -1; -1; -1; 482315783; 810657383; 436850760; 784076075; -1; -1; 47498867; 753954132; -1; 390534302; 204058834; 724589268; 541886797; 74128182; 254309236; 642552835; 156179856; -1; 324183437; 988905602; 91263901; 563739859; 472584843; -1; -1; 798447453; 913377996; 100977366; 130858900; -1; 210290661; 275975878; 69847329; -1; 263632587; 289861484; 249553756; 90025439; -1; 367356162; 29166818; 149252783; 948533800; 450310273; 114943569; -1; -1; -1; -1; 533155414; 154559849; 745374155; 934747725; -1; 952131234; -1; 473497832; -1; 715611414; 895008339; 416048894; 809681711; -1; 712491451; 659770325; 440874455; 873948984; 374742308; 563631728; 426013209; 267002169; -1; 558675423; 435773412; -1; -1; 196897930; 544865699; 512683913; 983595890; 447090488; -1; 508590979; -1; 692257124; 696099320; 829952390; 341434945; 482900091; 426029554; 647191312; 648677523; 666425253; 669496720; 646741170; 250778757; 863536381; 871204941; 166477203; -1; 284248299; 824048021; 509605414; 312341365; 234918193; -1; 593755621; 989281494; 20965200; -1; -1; 401335401; 54894223; 74743310; 249481170; 52429614; -1; 649006503; 582941735; 63495242; -1; 945183491; -1; 904818128; 596377541; 516659376; 560971662; 745660869; 909555470; 578759126; 872051412; 79573005; 727075897; -1; -1; 551633743; -1; -1; 161857259; -1; 1946641; 66651576; 458399044; -1; 707833208; 840979489; 679050456; 814395492; 26374917; 209712375; -1; 147996518; 543508454; 270702061; 590035109; 967287933; 88169662; 172229439; 880963667; 390504639; 882749740; 571335273; 179380100; 202650977; 912468606; 436796640; 618686381; 213616710; 389684811; -1; 903123415; 602640979; 714157131; 565831731; 765161707; -1; 375647902; -1; 447266470; 33168989; -1; -1; 161992342; -1; 806335459; 46058686; -1; -1; -1; 143571610; -1; 494770517; 255296159; 461517914; 767443688; 756675079; 225113048; -1; -1; 339873123; -1; 864223606; 665528493; 865092334; 749623363; 579852228; 774149544; 338000055; 492719411; 254698071; 777098618; -1; 347719747; 532183207; 985447127; 387892231; 471984398; 783146230; 814867014; 419481793; 728460820; -1; 41825100; 983945065; -1; 529048519; 978822563; -1; 896988472; 965896082; 352075256; 311991960; 769851910; 823110308; -1; 800214118; 14573459; 529148647; 307419566; 689805203; -1; 670930071; -1; 902436960; 509623571; 126790791; 488811039; 733311605; 24140613; -1; 724164226; -1; 253494086; 369806846; 572546734; 839155062; 878606916; 11705655; 796335319; 980498250; 966666870; -1; 553831653; 250675171; 968415538; 979511672; 800345188; 739585897; 803165148; 723499925; -1; -1; 919616489; -1; 568846866; 76995379; 315828254; 290490112; 215869519; 803696523; 707300655; -1; -1; -1; -1; 133632759; 518350223; 398431541; -1; -1; -1; 7292020; -1; 332605390; -1; 649782235; -1; 626812483; 946567204; -1; 443519675; 196888311; 448506911; -1; 302087854; 319451046; 504686042; 323889356; 740578054; -1; 161377954; 695181635; 849960995; 480804812; 657100188; 260719766; -1; -1; -1; 988727901; 921154866; 118766868; 217971392; -1; 659608283; 147572213; -1; -1; 84176594; -1; -1; -1; 188542748; 521897600; -1; 666643254; 883998460; 689759525; 775377628; -1; 520589296; -1; 260056320; 199824131; 60506016; 664193360; -1; 927479509; -1; 316325493; -1; -1; 658654801; 445672703; 747354795; 907837284; 511708224; 438485203; -1; 712702033; 852886607; 521505740; -1; -1; -1; 672981067; 258186705; 160361007; -1; -1; -1; 316960266; 427322490; 219674569; 260959290; -1; 446212298; 644496247; -1; -1; 879424901; -1; 310406002; 397528369; 632212112; -1; 566897717; -1; 305407491; -1; -1; 362386141; 411978630; -1; 607049382; 105293164; -1; 759307887; 227196871; 654465676; -1; -1; -1; 819053925; 510823667; 971199855; -1; -1; 500044703; 142327073; -1; 478007646; 536272727; 311246450; 788475013; -1; 330616100; 921705519; -1; 357486330; 266937793; 871314912; -1; 280046727; 270558054; 999823666; 403135398; -1; 180280803; 538214945; 107404235; 184446197; 770262515; -1; 199838357; -1; -1; -1; 472097886; 52217791; 925806371; 973917369; -1; 109212536; 488903964; 478587398; 262565904; 311761050; 49718894; 832222347; 88158706; 856061271; 532417325; 108892451; 14708688; -1; 595861815; -1; 975076682; 966705571; 646792904; 14330918; 49550002; 985535100; 248935945; -1; -1; -1; 704128687; 861624747; 7755200; 578015645; -1; 249784617; 656521959; 219166018; 478830572; 48682475; 852446052; 243396744; -1; 155155977; 750144440; 275075941; -1; -1; 812023227; 146688974; 325571413; 351202032; -1; 384425130; 531586127; 548916712; -1; 4207732; 788854228; 357408265; -1; 38139351; 950656468; 25419378; 722349499; 558945503; 303927893; -1; 368222492; -1; -1; 754765690; 829246637; 554751944; 10703374; 307449492; 354484055; 28333366; -1; -1; 221976414; 565181059; -1; 494061890; 415619942; 317037197; -1; 627184771; 227550815; 661926749; -1; -1; -1; -1; 146147282; 612670534; -1; 54289178; -1; 64073732; 899744173; -1; 687600810; 270470212; -1; 681606223; 158508891; 418354630; -1; 435424825; -1; 529905689; 401905922; -1; 561585595; 471821716; 146967420; -1; -1; 181808448; 912668693; 458065931; 507704793; -1; 204780722; 231936232; 169670679; -1; -1; 5213659; 851194363; -1; 55732396; 586071225; -1; 866068246; 753487422; 64685303; 130538916; 846202513; -1; 536628345; 925644917; 624713644; 262101409; 906624962; 819901634; 997442812; -1; 765016779; -1; -1; 164908601; 868037196; 666291194; 327510082; -1; 574976848; 986030908; 578688409; -1; 909309333; -1; 9957112; 680195329; 145662125; 918157957; 482018522; 742256246; 202806997; 851604459; 887070719; 323506227; 691170675; 446103306; 287878801; -1; 178574326; 150783004; 247542574; 260500710; 67373033; -1; 199374033; -1; 990677956; 822952078; 754573101; 866703798; 615886757; 242714799; 947100668; 512878533; -1; -1; -1; -1; 279124039; 542797558; 132440573; 282755860; 907973331; -1; 769543270; 994834546; -1; 532729382; -1; 498088743; 338359765; 993629876; 91611812; 265506062; 20708190; 520391052; 225283119; -1; 715782725; 776301171; 475261124; 442112545; 105020262; -1; 475736515; -1; 828177923; 89793745; 780147114; 751489000; 275962232; -1; -1; 759644854; 328058782; 680177515; -1; -1; 115214863; -1; 718272809; -1; -1; 370550493; -1; -1; -1; 866755694; 177346210; -1; 489891778; 395600389; 95281237; -1; 33220782; 608780317; -1; 146172192; -1; 128270707; 519248918; -1; 237955428; 360159306; 737609060; -1; -1; 841073652; 366666760; -1; 251715386; -1; 725076428; 14914384; 994710947; -1; 652386479; -1; 433253932; 650981235; 90552411; 51375559; -1; 943538130; 519877661; -1; 623082477; 177543916; 125222862; 827962882; 806740135; 977441440; 785987160; -1; 682825876; -1; -1; -1; 369663221; -1; 56128386; -1; 736336485; -1; 372004874; -1; 829057009; 993415311; 445581621; 288037578; 887405761; 663362411; 468731337; 151344609; -1; 19992692; 244840673; 258863045; 286590989; 128486409; -1; 816867859; 710389249; -1; 781054447; 869849622; 46440214; 377042257; -1; 666241726; 21859601; 229210092; 560882888; 312283450; 932111412; 669674568; 474735959; -1; 203048957; 474847272; -1; 484221870; 718637698; -1; 221642285; 8105219; 627122889; 246122132; -1; -1; -1; -1; 480119835; 434974405; 178903593; 975440219; 633253032; -1; -1; 180796291; 926534076; -1; 855302102; 93804160; 845306447; 729071655; 115435542; 162903767; 847592937; -1; 765057505; 450118157; 173739494; 756674689; 943956996; 500435621; -1; -1; -1; -1; -1; 983939374; 635922969; -1; -1; 487982757; 524744249; 663495863; -1; 281765072; -1; 18073019; 265358535; 371446985; 281772000; 82500722; 967382057; 296488335; 158079401; 717617779; 543690592; -1; 644065269; 798215448; 586948059; -1; 935930861; -1; -1; 126736208; 286353694; 649738096; 829005333; -1; -1; 429950630; -1; 968532415; 283966672; -1; -1; 304619296; -1; -1; -1; 502803492; 317647350; 693026993; -1; 84715820; 41403910; -1; 280888220; 492238682; 44809025; -1; 484462173; 64934208; 31607544; -1; -1; 259615762; -1; -1; 903577506; 261209875; -1; 203065789; 502318927; 492209561; 554183339; -1; -1; 882039195; 174795112; 396714638; 715504786; 752449988; 562126775; 38967579; 306684151; 121821011; -1; 351848106; 391705303; 83708675; 855621754; -1; -1; -1; -1; 820018521; -1; 441930963; 531738416; 943714766; -1; 356276471; 851819282; 731788679; -1; 337033006; -1; 973552608; 899922821; -1; 870759724; 67091216; 760377944; 779074426; 741514571; 515197695; -1; 421295492; -1; -1; 556840667; 324199425; 421266922; 428610038; 920534580; -1; 961451983; 247669709; -1; 801340910; 268617728; 131549964; 237216839; -1; 971190488; 837271795; 948823704; -1; -1; -1; 551818615; 113556276; 994954262; -1; -1; 256421967; 573873352; 155579353; -1; -1; 17739999; -1; 547606109; 435088352; -1; 93206005; 658250699; 501722428; 135356175; 776811129; 294890178; 337816511; -1; 196732360; 188490840; 310151219; -1; 444045544; -1; 929907694; -1; 57872248; 710449771; -1; 455088630; -1; 123920529; 503306128; -1; -1; 133133589; -1; 488840290; 488458989; 835712574; -1; 335166100; 880303984; -1; 601202795; 284748588; -1; 914630284; -1; 461943517; 805833298; -1; 762630292; 892111380; -1; 330793380; -1; 144962849; 692763418; 581986182; -1; 812620382; 330851103; 306166053; -1; 9479169; 192714162; -1; -1; 26424386; 262230420; 517054591; 724694565; 791586859; 228646096; 128730844; 94446054; -1; 682248558; -1; 492569520; -1; 357681249; 818242355; -1; 156183481; -1; -1; 289686566; 383130297; 613485900; 436415607; 19145469; -1; 456935229; 295092938; 877143212; -1; -1; 32450457; 203072428; -1; 516447778; 470309438; 837682055; 785881015; 753166714; -1; 237233568; 730686525; 631648924; 659615989; 626656847; -1; -1; 956916078; 701121079; -1; 232618544; 63611723; -1; 759825188; 130491543; 805751033; -1; -1; 317722447; -1; 318319821; 444511644; 677070808; -1; -1; -1; -1; 907351172; 312906567; 104221568; 875490570; -1; 935291314; -1; 330995890; 771736013; 925765448; 648586949; 687671193; 564918626; -1; 552966026; 982688351; -1; 438736077; 619971568; 756049569; 658979622; -1; 300044460; -1; -1; -1; 622395283; 190965047; 208959111; 910966381; 969428374; 483766029; 554543628; 40339806; 21957089; -1; 665264239; 296571728; 946341031; 239856938; -1; 255684908; -1; -1; 331960021; -1; 22108847; 196924344; 891196642; 736961848; -1; 69646148; 984119533; 487321876; 901796784; 59545114; 382654073; 228919518; 109716166; 432672335; -1; 475807153; 397783266; -1; 62190217; -1; -1; 523655384; 243348368; 837329380; 440706383; 427908736; 541916171; -1; 679006940; 620166123; -1; 770374223; -1; 593231904; 666587806; -1; -1; 867643992; -1; 137242366; 968121546; 211031112; 349947931; 538707383; -1; -1; 971148109; 940923345; 758554839; 906414010; -1; -1; 155716687; 770086202; -1; 352270257; 692357093; -1; -1; -1; 115500829; 66373524; 329313518; 477359438; 968563978; 740092205; 719011993; 172096213; 86455282; -1; 332683832; -1; 907994078; -1; 353106011; 101954560; 640039603; 711220211; -1; 36665665; 763153734; -1; -1; -1; 196354847; 105639533; 312156640; 767354715; 696185145; 391736336; -1; 999613416; -1; -1; 980464351; 297806783; 10441060; 20307762; 741164334; 932531476; -1; -1; 847001422; 520028946; 837709517; 657412486; -1; 721600447; 683898724; -1; -1; 74694626; 970344271; 195694074; -1; 924037754; 310836759; 982430213; 657212913; 528086934; 592739727; -1; 955293945; 612110752; 768574207; -1; 922850700; 480134447; 382531780; 295558267; -1; 9630261; -1; -1; 949726479; -1; -1; -1; 425527381; 352843479; 318458497; 93047873; 900145957; 444722603; 811283960; 426629930; 856332037; -1; 919914329; -1; -1; 557488655; 670643761; 911731480; 198886396; 247854146; 818709855; -1; 551145354; 333840984; 529913545; 351560581; -1; 821296745; 463879531; -1; 674908768; 564595830; 531490352; 55898242; 642629521; -1; 385813456; 448977529; 521558490; -1; 511399856; 747527083; 382387841; -1; 4570564; 730858471; 700051672; -1; 962655735; 345939194; 203806622; -1; 424597886; -1; 365336281; 31411285; 587748064; 564534128; 714901020; -1; 473712917; 443117414; 87832552; 355033105; 785141834; 644577987; -1; 451964818; 519355279; 8346534; 396658681; -1; 55985966; 132357015; -1; 227136963; 71173607; -1; 592817751; -1; 843454176; 628125398; -1; 463456211; 394861463; -1; 502644530; 933301169; 398910705; 857128754; 406093754; 738206728; -1; 609308789; 976888070; -1; -1; -1; -1; 789003790; 743456453; 347752750; 399690613; -1; 878906186; 240426496; -1; -1; 213342591; 759099439; 241087510; -1; -1; 383446117; 966942996; -1; 79954749; 667986320; 169830356; 829733144; -1; 985935144; 214357655; 974515888; 673573018; 829726731; -1; -1; 967078565; 959147860; -1; 620709156; -1; 926930505; 490299930; 765344108; 531398819; -1; -1; 217024086; 451222698; 475499172; 814505658; 643709039; 137064344; 180766175; 267675604; -1; -1; 300088134; 288046484; 386127999; 575977802; 725387430; 58060321; 110460799; -1; -1; -1; 558391929; 333829453; 628312535; -1; 383440374; -1; -1; -1; 211392355; 775384718; 410756691; 272399824; 720028755; 615689497; 671591387; 229127730; 41557061; 961391115; -1; -1; 347797635; -1; 958518175; 607356816; 685026299; -1; -1; 819682554; 950743105; 245385130; 563460902; 937239205; -1; 954517012; -1; -1; -1; 435542476; -1; -1; -1; 843308322; 544455223; 883366740; 805643365; 578340248; 278804596; 690045406; 850789004; -1; 113953813; 124268474; 76110652; 545419257; 838584293; -1; -1; 982875572; -1; -1; 413354422; 543280624; 682064034; -1; 413820829; 43107079; 743459108; 153746138; 782132437; 592745114; 990612558; -1; 562171837; 761836730; -1; 676449365; -1; 132757777; 152073364; -1; 446062424; 843670556; 222519519; 753136146; -1; 650960559; 994221443; 899522579; 654175371; 91520910; 841303863; 472360612; 516232619; 382201381; -1; 194037953; 374216734; -1; 350879376; -1; 42293191; 576223787; 695025527; 675310452; -1; -1; 116798249; 839447394; 158444870; 395331035; -1; 531077879; 659485826; 661397145; 57763421; -1; 300533908; 17513333; 684807126; -1; 439291858; 801881027; 484729768; -1; 770271430; -1; 377267475; -1; -1; -1; 309409722; 416224272; 100767914; 352733315; -1; 907230582; -1; 273458119; -1; 742734031; 347190044; -1; 929439531; 688532884; 192321802; 243228276; -1; -1; -1; -1; 240534925; -1; 476655977; 313819631; 309951912; 217347527; 376381581; -1; 217344302; 591573426; 243999592; 485706004; 261567926; 93125538; 122734279; 714155618; 788238954; 451087755; 110871275; 259967684; 607072075; 978379288; 714490546; -1; 598515997; 53548788; 614677836; 275030925; -1; 996677126; 67864182; -1; 439083470; 645397509; -1; 294375907; 679582676; 544533605; 434106447; 70086042; 848610517; 323227664; -1; 461909524; 443568074; 861425538; 438024039; -1; 820164115; 966485506; -1; 30674290; 33141158; 894652; -1; 90652441; 740416405; 269424157; -1; -1; -1; 266445425; -1; 966990297; 154899379; -1; 10117586; 827947658; 848318625; -1; 707999264; -1; 263707896; 974502664; -1; 10622653; 871641405; -1; 572775254; -1; 572851596; 617340621; 917735118; 674398021; 228832010; 731008949; 623128519; 814552550; -1; 600826991; -1; -1; -1; 343429463; -1; 739335912; 251273404; -1; 880675622; 623106816; 964147769; -1; 262239286; -1; -1; 490755568; 986787018; 353410641; 950603029; -1; -1; 485210774; 720284653; 944680030; -1; 632735847; -1; 524241193; 43265797; 294166284; 534752823; 108706887; 619510914; -1; 110451884; -1; -1; -1; 137583914; 299138021; -1; 429349968; 566603191; 121182951; 50401965; 430167115; -1; 795446767; -1; -1; 104694013; 76400918; 282616339; -1; 187428369; 250970244; 500641448; 886507727; 112786421; -1; -1; 778203685; 913573680; 596975456; 467401517; 710457781; 998367344; -1; 411031359; 407926900; 960669989; -1; -1; -1; -1; 841321700; -1; -1; 588737341; -1; -1; 587285531; -1; 695352018; 44177429; 285389666; 112018419; 420180298; 98113434; 177993798; -1; -1; 200762961; 855007853; 608363297; -1; -1; 950328079; 485660843; 331553844; 727865117; -1; 841649409; 996476787; 525429436; -1; -1; -1; 202720862; -1; -1; 117257394; -1; 477728420; -1; 155063560; 224922176; -1; 125532253; 978192200; 286856208; -1; 53908994; 290010838; 29334180; 260902011; 344932060; 734175821; 502179176; 150991102; 31973707; 389510628; 131531665; 920243676; -1; 413865852; 405782289; 322280062; -1; -1; 999779123; 942312403; 263597229; -1; -1; -1; 536036062; 374448360; 548582286; -1; 81419037; 778114632; 132866629; 63087124; 857573661; 203667306; 747755738; -1; -1; 226028580; 218807785; 800114234; 778512182; 708538533; -1; 588598837; 634845510; -1; -1; 574963506; -1; -1; 99039619; -1; 879817135; 146939832; 238228729; -1; 936943739; 206757487; 337220969; 877956952; -1; 705162483; 928651793; 741564516; 721175685; 900815606; 594072096; 661722864; -1; 842469476; -1; 313501418; -1; 242941778; -1; 905113552; -1; 959453681; 477338723; 247403819; -1; 375108873; -1; 180792965; 16215636; 475368911; 742961385; 387615902; 442175140; 930924809; 719909469; -1; -1; 98035576; 695436484; 111975579; -1; -1; 369254902; 987024593; 256543973; 437513429; 908980856; 735461922; 205774001; 918933895; -1; -1; 995255486; 153095253; 508210986; 223727177; -1; 893502539; 400955310; 491901702; -1; 738429909; 434194105; 57013662; 929518662; 155611287; 891083733; -1; 472239790; 490968406; -1; 322964290; 880096721; 134844112; 133018451; -1; 154182743; 99641063; 815067353; 453532135; 869843713; 837972136; 640956862; 361178067; -1; 58939050; -1; -1; -1; -1; 61206282; 612358375; 499999987; 397889037; 591656835; 134883280; 705453539; -1; 862495194; 965235189; -1; 69846501; 49483744; 761683387; -1; 530560403; 8134294; 808511627; 706507347; 733579068; 940843779; 476823014; 772445038; -1; 653397055; 566344459; 681494965; 151100642; 528633509; 331449111; 513912047; 982474937; 305831145; 263757326; 282303687; -1; -1; 675201163; -1; -1; 951117000; 436882090; 934616871; 106704180; -1; 368687071; 842953872; 822655437; 70940389; 54627670; 411121592; 770567652; 729088233; 576764551; 12127923; 559595830; 620954254; -1; 639973258; 19169334; 975704797; 682464454; -1; 794485218; 463695; 535754451; 274821600; 708239838; -1; 875270873; -1; 860789552; -1; 58537944; 368725172; -1; 320254444; 132562513; 773347005; 946012244; 692675773; -1; -1; 22951526; 825698174; 561205826; 490159049; 276156466; 916985229; -1; 250666671; 848906728; 236529761; 605542462; 225592884; 742124573; 932885897; 908692921; -1; 967248679; 409712844; -1; -1; 210689535; 712133737; 165419217; -1; -1; -1; 898576748; 970625704; 920772044; 150806569; 834020073; 292306767; 508027345; 474663231; 468124170; 21359344; -1; 468727974; -1; 319939788; -1; 120390803; 289212545; 582707164; -1; -1; 433874490; 899676391; 133600796; 452347495; 744287257; 82438502; 483615455; 737154470; 854274273; 419435191; 46800123; -1; -1; 830930581; -1; 274183067; 927766095; 196313946; -1; 439812763; 820411110; 871646849; -1; -1; -1; 336874485; 378557471; 730979694; -1; -1; 814518981; 513282865; -1; 400726046; 986250300; 633556129; -1; 983201719; -1; 40292108; 789043582; -1; 606455622; 756564615; 966960784; -1; 771705122; 65766205; -1; -1; 22988231; 241299500; 695963121; 806846961; 255023440; 599728138; 716526513; -1; 496306050; 853295615; 540559949; 529728916; -1; 968036312; 228317742; 544612812; 49985773; -1; 128713289; -1; -1; 193008511; 752532210; -1; 812736222; 222625883; 955372805; 608443682; -1; -1; 146668716; 356491154; 912060551; 449618096; 114187188; 298101019; 20009296; 681390159; -1; 808777109; -1; 4060761; 264145995; 516488041; 38439399; -1; 73420922; -1; -1; -1; 114179429; -1; 630464073; 483931421; 206420576; -1; 787913469; 440311333; 519129160; -1; 655728470; -1; -1; -1; 501039284; -1; -1; 637559893; 937496797; -1; 871284789; -1; 12392020; 816386847; 146944706; -1; 64469869; 125211155; 778196698; 449432243; 167131660; 957365108; 321713156; 634779344; 448328984; 989092260; 571360125; 647710291; -1; -1; 549969334; -1; 18278794; 246671404; 65108080; 430894191; 801227076; -1; 270861721; 563670873; -1; 338984769; 299678181; 485161336; 253429065; 934883389; 770881195; 291527451; 542749033; 931501425; 651581379; -1; -1; -1; -1; 591227480; 432965769; 615287865; 913746624; 297634737; 822887176; 787183369; -1; -1; -1; 509433611; 607365371; -1; 932802046; 220268045; 40261725; 817299626; 234882326; 850322983; -1; -1; 122564417; 520239367; -1; -1; 530930086; 63225364; -1; 774549608; -1; 311629027; 147004780; 620013069; 219308180; -1; -1; -1; -1; 675849258; 330614845; 912367387; -1; -1; 162114811; 136250083; 223411067; 31231526; 712900738; -1; 404120431; 646640103; -1; 951757228; 750421486; 441875321; 362744967; -1; 684738069; 65189520; 222326039; 779189395; 405265206; 671167638; 963427326; -1; 837477891; 534649504; 763759549; 833584301; 285185010; 693727805; 276903701; -1; 621952179; 869463981; 297417724; 433921838; 664938596; 734633856; 530116471; 715093014; 971113572; -1; 140911432; 904615717; 223990913; 853633149; -1; 899013237; 184275416; -1; 137281412; -1; -1; -1; 960279901; -1; 567456989; 867825367; 926799565; 251352710; 54059493; -1; -1; 419914911; 768758375; 378460760; -1; -1; 294429633; 221955400; 851898706; 791209734; 79354155; 10184695; 93580585; 912971012; 804405351; -1; 684307635; -1; -1; 344813843; 345875083; 473152418; -1; 653884558; 641660237; 676917639; 240827032; 480474626; -1; -1; -1; -1; -1; 892827786; 146324087; -1; -1; -1; 601261211; 588911054; 401729605; 297099217; -1; -1; 504004152; 930669412; 256310889; 643712527; 452224648; 1873986; 446053954; 751015750; 811191979; 534082094; 68915931; -1; 256063752; 54640537; 126058047; -1; 115453246; 88470568; -1; 968549643; -1; -1; 90940983; -1; 833564981; 519396943; 970741974; 391621497; 478812124; 483753267; 133477625; 351607469; -1; -1; 205384295; 951457383; 362610628; 99475601; -1; -1; 730510413; 308367856; -1; 390485644; 272460780; 904265796; 940745290; 329769197; 694403005; -1; 219258412; -1; -1; -1; 43296256; 428942773; 73081736; 367849242; 104834536; -1; 17721494; -1; 749451922; 989002675; -1; 760454845; 928038088; 753474647; 950321764; 436653698; 14123963; -1; 908181524; 35743376; 56978521; -1; -1; 977129873; 832833756; 206220427; -1; 627289110; -1; 9492456; 552488378; 234371943; 425427233; 128578768; -1; 927355779; 242771798; 804766393; -1; 462249877; 859692783; 604154764; 230699734; -1; 81470587; 568925500; 900882664; -1; -1; 35554500; -1; -1; -1; -1; -1; 839400072; 491206955; 744718462; -1; 822797384; 177616602; 969514790; -1; 513606089; -1; 60067241; -1; 710775399; -1; -1; 104729882; 940676892; 961094246; 631066785; 824928646; 466303744; -1; -1; -1; 528769535; 523894552; -1; 748132324; -1; 45430729; 517354561; 554963814; 465797180; -1; -1; -1; 18626370; -1; 551113609; -1; 289576337; -1; -1; -1; 325781945; 402416304; 852126796; 802993029; -1; 490644291; -1; -1; 513247810; 988743530; -1; 417892888; 539829357; 818023486; 251102733; 19171260; 224111231; 477264378; -1; -1; 466971942; -1; 87488993; -1; 205218371; -1; 536710776; 228763185; 813950875; 599425570; 243852668; 542766575; 268805503; 528488364; 602542946; -1; 754220039; 196490981; -1; -1; -1; -1; -1; -1; 784907434; -1; 950216986; 385111508; 334155364; 820086496; 109757201; 591117585; -1; 520188630; 502529164; -1; -1; 582946837; -1; 9483209; 441669168; 659186275; -1; 765859312; 313141832; 130453697; -1; 801750871; 940237718; -1; 415063876; 571011169; 900560185; -1; 663414994; 898662449; 831402309; 245704882; -1; -1; 616702729; 200832708; 642965004; 347267344; 251074599; 337176868; 983659080; 309826429; 736691274; 988058319; 71525713; 922082379; 92466483; 583433606; 180697488; -1; 752113373; 667902675; 525944835; 342710434; 514226499; 111241528; -1; -1; 315229177; 606399303; 844064565; 174808970; 727566703; 59064578; 204623813; -1; -1; 97828316; 671497223; 186521936; 177673233; 477715356; -1; 122634114; 577992537; -1; 758905393; -1; 661949591; 34596160; 339347799; 114926450; 762560747; -1; 346838068; 243832335; 460405458; 367664212; 493058370; 976063104; -1; 60820439; -1; -1; -1; -1; -1; 253100682; -1; -1; 65264322; 243678852; 922516462; -1; 156264247; -1; -1; 60242953; 992365621; 151555628; -1; 562542384; 825710601; 61072502; -1; 691558299; 560277934; 981342852; 839934164; 219149755; 986778871; -1; 200224236; 417829631; 986898025; 493866014; 926675801; -1; 769733090; 433703050; 133347256; 796030791; 141402657; 362394772; 663624639; 15083351; 993887092; 7141025; 1490793; 933244506; 42846972; -1; -1; -1; -1; 802619286; 19705686; 945677314; -1; 795257296; 917971826; -1; 172914227; 38919072; 156391711; 670217607; 684106770; 916656937; -1; 514994816; 179269058; 626571357; 471801904; -1; 932920219; 279830390; 738102754; -1; 19459208; -1; 606554841; -1; 258800061; -1; 827597972; 366089590; 743316583; 360411965; 940005150; -1; 647420135; 325761076; 33445391; 680441684; 655061417; 546913034; 729555536; 587160543; 224252963; 874688418; 257733833; 256710213; 55859837; 687682908; 879847453; -1; 337208303; 13307792; 158226653; -1; -1; 919710342; 26429329; 365439242; 871189926; 868945062; 929149746; 170765453; 503241722; -1; 924532047; 6530462; -1; 139169738; 981204482; 426773038; 550382785; 984878646; -1; 326032604; 626875088; -1; 178897146; 580014081; 789428510; 156724894; 31151759; 205421914; 404268729; -1; 865004356; 809217012; -1; 221404362; -1; -1; -1; 704002449; 658055372; 509114625; 456503664; 741247420; 892144708; -1; 835776672; -1; -1; 428087060; 49715472; -1; -1; -1; 46846082; 489082711; -1; 953572260; 5500815; -1; 659767899; 907990291; 892454976; 131641473; 710296065; 160936790; 180347602; 100013338; 200807926; -1; 146185573; -1; 688435530; 870966904; -1; -1; 344625801; -1; 827985216; -1; 291550128; -1; 53739541; 975739817; 271277984; 726247025; 98561337; 261660073; 59814926; 46464150; 910379899; -1; -1; 532774065; 579292688; 925215624; 216329887; -1; -1; 32002114; 357608151; 686095826; -1; -1; -1; 893253245; 231655003; 14864577; 233387160; 17113474; 869318052; -1; 922589763; -1; -1; -1; 906389024; -1; 721288324; 166582114; 677448698; 114875129; 943592067; 604533800; 344746114; 176154438; -1; 209588904; 191695674; 799088646; 665665581; -1; -1; 339791340; 400275019; -1; 668842625; 386792586; -1; 214199000; 57904433; 12314030; 668873301; 862269411; 905338327; 409915553; 603761200; 256761415; 573601507; 515276084; 763901344; 609364929; -1; -1; -1; 41376031; 379869743; -1; 506157198; 640000167; -1; 861662627; -1; 819430397; 335275903; 916434988; 281212957; 469952514; 479038802; 46874166; 101765420; 168764929; 177093156; 977823408; 363862200; 16433440; 887214892; 940845472; 81828033; 470818556; 366746634; 317718967; 536284961; 200052365; -1; 7203815; 52245584; 330660849; 587190643; -1; 154714631; 678167204; -1; -1; -1; -1; 327300586; 85529220; -1; 612990948; -1; -1; -1; 701048807; 222863531; 874798580; 128465054; -1; 829049949; -1; 134753106; 576638206; -1; 89786316; 719673508; -1; 907925582; 309368263; 182886036; 388188480; 556747369; -1; -1; -1; -1; 244232966; -1; -1; -1; 465277335; -1; 613997364; 184791922; 463077679; 404710455; 289821316; 291344987; 148154653; 452415984; 128501050; 563716577; 218476208; -1; 792114563; 797177540; 161345769; 418854441; 833686800; 423878357; 108500212; -1; 630788756; -1; -1; -1; 888998132; 886624033; 987319347; 33909386; -1; -1; 288528065; -1; 310510042; 455279866; 465339450; 555974243; 586113407; -1; 686198653; -1; 255653635; -1; 100406369; 48093587; 20043161; -1; 991319422; 914582058; 375115148; -1; 329850905; 46155031; 975396755; 760476174; 495475569; -1; -1; 681820209; 296753797; 879993210; 289304085; 587530074; 943797535; -1; 499533856; 356126145; -1; -1; 309828245; 876366907; -1; 26178270; -1; -1; 630853547; 298355043; 65145962; 409822602; -1; 806355301; 490788571; 153248050; 393002642; 392043186; 236598242; 327839029; 495772853; -1; -1; 932019737; 274368082; -1; 241735063; -1; 281358310; -1; 844776592; 905686605; 99765107; 598853993; 191125789; 380476030; 698061534; -1; 479448908; -1; 24134533; -1; 107449004; 830788598; 762908440; 916843690; -1; 334222635; 593368601; 900183457; -1; 997423397; -1; -1; 616120733; 593977666; 527677960; -1; 11425349; -1; -1; 357287887; 360646256; -1; 757810685; 515418163; 452253918; -1; 416169824; 974346500; -1; 473614100; -1; 909299910; 73652959; 367249469; -1; 313766994; 347585462; 887312687; 993816605; 354712770; 655412832; -1; -1; -1; 378184493; -1; 240612252; 112573070; 965234411; 900232443; 430741025; 605027324; 173432072; 229354629; -1; 959307520; 17045104; 72008976; -1; -1; 558346301; 972010228; -1; -1; 534336983; 110879795; 495281478; 159631354; -1; 347047244; 285955485; 111516177; -1; 673642279; -1; 838416399; 962030785; 649585176; 600815384; 692648450; 217970692; -1; -1; 67840659; 652993360; 401631851; 441100321; 622410753; 531564859; -1; -1; -1; 749152985; -1; -1; 610763171; 373512523; -1; 482461412; 374844293; 314768526; 80194841; 221596561; -1; 7142330; 200774394; 357578091; 104791822; 395596167; -1; 568970223; 799843781; -1; 304565654; 538086415; -1; 147987241; 935563431; 323875698; 630755011; 492399265; 284217400; 73833402; 101759166; -1; 139138958; 780721239; 819637091; 158874432; 275215878; 998333082; -1; 156577723; 917601195; -1; 190668594; -1; 947696852; -1; 240669652; 969484554; -1; -1; 501563551; 15194150; 982192996; -1; 459441915; 308087178; 860527267; 909875448; -1; 948418996; 55738561; 728467755; -1; -1; 987491606; -1; -1; -1; 59659167; 404713907; 464620408; -1; 184490200; -1; -1; -1; -1; 180174174; -1; 77519061; 473834632; 572857093; 344342230; 139580724; 482532960; -1; 259407650; 988580799; 295337539; -1; 234074751; -1; -1; 553589137; 548201888; 348589697; -1; -1; 572953734; 417673269; 387522853; 52471923; 707028824; 298272848; 871496508; 699958431; 460340420; 266373659; 787392468; 389096901; 601279604; -1; 275910556; 975184966; 113107471; -1; 944440175; -1; 389696797; 576103358; -1; 490024559; 696830316; 752362724; 61444676; -1; 932496178; 266981396; 64041150; 504822533; -1; 426602302; 995960052; -1; 277873318; 299819859; 928404982; 920378286; -1; -1; -1; 60399306; -1; 472974112; -1; 14031993; -1; 91944161; -1; 198305135; 201899275; -1; 471073295; -1; 823970973; -1; 243199647; 343219059; 596721130; 301338955; 153731737; 87242413; 785180451; -1; 761579988; 995038662; 670998249; 411459139; 268693924; 742207794; -1; -1; 864596748; 850785270; -1; 397561846; 709393391; 853543118; -1; 475473229; -1; -1; -1; 934720617; -1; 452174487; 421318101; 4187794; 211101213; -1; 650518286; -1; 948205874; 240272726; -1; 714819387; 529703963; 210091237; 495636903; 119305063; -1; 85768640; 818644172; 43987860; 664442634; 988774249; -1; 515606192; 323370323; 67909312; 953637861; 694373948; -1; 426637658; -1; -1; 924208544; -1; -1; 844624489; 419853916; 395025521; -1; -1; 731383509; -1; -1; 95953503; 773713069; -1; -1; 284160365; 651442658; 506321083; -1; -1; -1; -1; -1; -1; -1; 460518156; -1; 613855444; 98257335; 497604431; 238207172; 754741979; -1; 44624262; -1; 718832061; 237587461; 125682409; 100267876; -1; -1; 201953144; 240411207; 557282604; 150960898; 971984552; 870747338; -1; 303492867; 729210259; 653882325; 117315225; 735116251; 918016401; 547786743; 735402537; -1; 420021724; 475154051; 211667670; 308526181; -1; 264458675; 897441646; 776407746; 666017894; 287895917; 717408338; 200208605; 486286885; 384891348; 966844062; -1; 418205210; 516757074; 569786459; 255263926; 390385107; -1; 742249695; 442728724; 70098440; 88398965; 257722916; 890799440; -1; -1; -1; 830471803; -1; -1; 536660457; -1; -1; 342183765; -1; 441492879; 938626413; 558085131; 512831020; 63359329; 320925166; 849131471; -1; -1; -1; 491927743; 946370817; 70269337; 320727092; 963843033; -1; 5574340; 694321319; -1; -1; 676531180; -1; -1; 378788954; 563791347; -1; 429124678; 843673886; 28609285; -1; 553876425; 546879895; -1; 578450104; 88334381; 782264770; 253683823; -1; 774877199; 298224452; 712755600; 672836821; -1; 620358425; 158389622; -1; 431822174; 72779051; -1; 993113600; 198827220; -1; -1; 915286604; -1; 74115950; -1; 71547856; -1; 32595302; 837888487; -1; -1; 971439957; 686118335; -1; 233042507; 870382432; 678344428; 944560838; 561573910; 50178302; 267422999; -1; 550089844; 786281556; 817197859; 896029912; 885756879; 656871074; 464064796; 863079280; -1; -1; 516867617; -1; 154845078; 96679124; 720032397; 53402455; 841980243; 5521945; 536512223; 372413280; 500710424; -1; -1; -1; -1; 559626253; 408065806; 461601889; -1; -1; 28733537; -1; -1; 908824722; -1; 239096217; 111937686; 835747780; 373472584; 357070878; 900771598; 895925827; -1; 709361864; 976209276; -1; 443811814; 148416542; 66010496; 290880891; -1; 888382761; -1; -1; -1; 776086261; 840487318; 880302150; 183744424; 372211893; -1; 886866173; -1; -1; 898822409; 631582763; 504894251; 875339949; -1; 186365410; 534661768; 198376052; 867765649; -1; -1; 512667240; -1; -1; 965652956; 346445475; 595944786; -1; 220984784; 512783302; 81503687; 482698365; 740965706; 543235601; 848628394; 588987477; -1; 958948893; 647641159; 472984844; -1; -1; 996127030; 219257946; -1; 149946933; 39028897; 13870564; -1; 511767378; 799760067; 731353669; 15609799; 19087949; 405411691; 940389673; 513637227; 771447133; 423779628; 771038879; 485679453; 394306981; 509264623; 125938412; 189316661; 952527003; 373486481; -1; -1; 595590890; 95705787; 673476946; -1; -1; -1; 713515512; 729631738; 971896252; 653081188; -1; 679676304; 729873866; 927178576; -1; 620880120; 686382264; 79488454; -1; 672944626; -1; -1; 85068839; 127729061; 877681090; -1; 192952518; 612289908; 869931219; -1; -1; 336727461; 313833315; 589260718; -1; 503999479; 166385206; 12979677; 163757650; 869324685; 612590712; -1; 127682214; 2700715; 482713716; 755617913; 879496329; 447520189; -1; 903091117; 894943254; -1; 196770177; 230444813; 707077817; 988070491; 611548414; 756923362; 664366584; 582502961; 353617599; -1; 33606659; 643141937; -1; -1; 105612837; 890720958; 384279288; 877224907; -1; 706909411; 17927416; -1; -1; -1; 479101558; 748390097; 246479210; -1; 323201080; -1; -1; 274872644; 120495086; -1; -1; 968922825; 540589388; 556551237; 343243912; -1; -1; 379188895; -1; 275257105; 510670703; 429618591; 206687591; 588348290; 147818258; -1; -1; 443381067; 613618541; 440093031; 507636312; 144470071; 470895753; 84979934; 42923426; -1; -1; 469153128; -1; 833934183; -1; 230026981; 586312915; 852507353; 60561122; 157625177; 704416549; 209448473; 820464526; -1; 518826291; 674824623; 328618646; 180037369; 790845482; -1; 240482160; -1; 941737476; 704189647; -1; -1; 991752392; -1; 764017447; 396864691; 17947216; 281327977; 918587928; 975077617; 780259889; -1; 678409136; 213644879; 177671268; -1; -1; 666173297; 295399685; 397084523; 880667341; 650728392; 971636044; -1; 326927752; 855518232; 700896465; 64217105; 882304578; 726517635; 927577154; 6614507; 991773780; -1; 183893518; 832858288; 231414132; 538487208; 721132380; -1; 715671956; 743151535; 367625744; -1; 817326306; 582866960; -1; 185798000; -1; 522534223; 533944332; 524364651; -1; 886411430; 160736041; 393348532; -1; -1; 799226757; 144912872; 236186577; 662439148; 440234773; 735285558; 121519143; 344957163; 419525189; 815352018; 530115790; 120768062; 197156129; 251097789; -1; -1; 262699238; -1; 494859322; -1; -1; -1; 390659598; 20032402; 705006998; -1; 578183951; -1; 612772851; -1; 288274241; 969581690; 480675629; 694683012; 278692649; -1; 153185479; 840329895; 474151919; 530824194; 839386997; 548708360; 726817491; 595321696; 185207471; -1; -1; 78642519; 162624037; 775425482; 965407587; -1; -1; 245146790; -1; 851310751; -1; 763159746; 718363182; -1; -1; -1; -1; 594449743; 958326288; 461898033; 636319808; -1; 643289663; 573099517; 363581827; -1; -1; 313728414; 226301819; 957102520; 844204783; 159491993; 797494703; 44529086; 981255907; -1; 910077341; 494391912; -1; 942596431; -1; -1; 700839948; 384892891; 359803749; -1; 581993759; 486565243; 332482378; 608639284; 352130419; -1; 410651697; 763610739; 278536615; -1; -1; 781116023; -1; -1; -1; 874221872; 943263153; 906115527; 501668953; 962697757; 270979646; 68415575; -1; -1; 589778632; 32093296; -1; 859744745; 842084785; 545204844; -1; 547850593; 193899896; -1; 526668172; 855761721; -1; -1; 517131593; -1; 552660633; 266536815; 587909913; 133298229; 662386099; 696539574; 884514587; -1; -1; -1; 243097317; 683093338; 668775681; 215097170; -1; 139800833; 983029304; 915691838; -1; 65228686; -1; 573834900; -1; 717702929; -1; 548202644; 52260698; 558002112; 601121092; 123647753; 37093603; -1; 835662861; -1; -1; 746872578; -1; 603124077; -1; 182127036; 832600688; -1; -1; -1; 235491933; 951870276; 807843983; 298352089; -1; -1; -1; 699018330; -1; 847694985; -1; -1; -1; 21963098; -1; 896115442; -1; 157472264; 555377341; 188628729; 266875055; -1; 716438174; 480549689; 273881817; 902946651; -1; 289411282; -1; 386100029; -1; -1; 686579150; 277030853; -1; -1; 980265121; 407446924; 814122602; 727640837; 356009150; -1; 251439361; 604838274; -1; 610735863; -1; 217779082; -1; 989101312; 861963509; -1; 151671695; 425394242; 456170997; 146182316; 143044247; 89638073; 186700678; 325530847; 375515229; -1; -1; 57180182; 373403693; -1; 822165735; 640118528; -1; -1; 13688802; -1; -1; -1; 421885178; 963476105; -1; 424803900; -1; 299201326; 528505143; 264838747; -1; -1; 188025900; -1; 182235594; 128286990; 781594012; -1; -1; 835337354; -1; 266098102; -1; 580459283; 730600566; 974802519; 839503815; 659717801; 548918976; 62326512; 401848573; 50235397; 629215984; -1; 291146472; 149655294; 443623584; -1; 905503557; -1; 740255189; 592718060; 180794135; 440613317; -1; -1; -1; 705789992; -1; -1; 292235644; -1; 482081708; -1; -1; 117568385; 861562010; 395616879; 258186439; 343890772; 281017423; 671186862; 300522745; -1; 573783958; 991996092; 809456297; 750724618; 31457137; -1; -1; 269991642; 862127900; 598313281; 291044; 21276554; 290439579; 812103559; -1; -1; 430230786; 250561269; 872474273; 7976245; 104256024; 615323985; -1; 820228081; 665702520; 686613362; 418586949; 176112156; 324906885; 894215526; -1; 880147462; -1; 488232812; 179758272; -1; 240523387; -1; 843204702; 2467788; -1; -1; 219050580; -1; 43737811; -1; 432682979; 188212271; 272658290; 528977109; 308223619; -1; 279057958; 984974096; 216128846; 117929526; -1; 283067254; 914514412; 450010900; -1; 186083264; 941851888; -1; 736744270; 112979633; -1; 982018987; -1; 557614160; -1; 953769147; 360154619; 30923993; -1; 334868644; 837257213; 257529762; 468478863; 458372134; 372667461; -1; 50434130; 179471231; -1; -1; 963026081; -1; -1; -1; 267472294; -1; 881595987; 411436194; 798557655; 573623293; 251154565; 831424464; 514238966; 447571921; 359128596; -1; -1; 402413483; 496899847; 457039797; -1; 177718736; 714015519; 152502484; -1; 890274313; -1; 902467857; 972251685; 411712096; -1; 795949703; 807535162; 339769839; 428579163; 942480039; -1; 562803092; 443076634; -1; 151052051; 418907155; 42609744; 344964221; -1; 174544984; 311386640; -1; 670927358; 50788417; 611918485; 650735910; 901425158; -1; 509332544; -1; 788741184; 987677669; -1; -1; 558100717; 527983943; -1; -1; 616069120; 941525605; 891261543; -1; 49663203; 322663933; -1; -1; 409284763; 811917269; 490018904; 924147627; -1; 623211102; -1; 841959299; -1; 817856153; 323310355; 783011298; 939911315; 2713852; -1; -1; 352214867; 495651349; 752836386; 973750403; -1; -1; -1; -1; -1; -1; 197637962; 443951220; -1; 659495381; 190172270; -1; 478130971; 680405617; 946644574; 993760354; 67959455; -1; 171162921; 361007686; -1; -1; 689086006; 222961481; 530598011; -1; -1; 254050331; -1; 691834295; 370912188; -1; 143472971; 442761757; -1; -1; 635419321; 958972203; -1; 851171524; 87384561; 766965701; 407234308; -1; -1; 897189094; -1; -1; -1; -1; 737342109; -1; -1; -1; -1; 751041533; -1; 679075550; 429654589; 703097203; 458084675; 658773378; 725336581; 644718462; -1; 705546214; 618865922; 619377369; -1; 414458919; 191690735; -1; 80639360; 155522356; 755613925; -1; 919883090; 81249855; 73350658; 359159324; 300963109; 471733984; -1; 924576838; 535432329; 546157282; 301496364; -1; 615371725; 916323967; 444836146; 824673747; -1; -1; -1; 736376467; 166124129; 294043737; 988930266; 328691535; 990333761; -1; 858041944; -1; 919579034; -1; 583510618; 75314123; 297267926; 75406357; -1; 892608878; 717779070; 89365038; -1; -1; -1; 950578931; 140272730; -1; 278172027; 541435505; 752603852; 10305209; 196714962; 757429222; -1; -1; 744533108; 368829766; 60880212; 671882196; 969284111; 479713458; 91261890; -1; 74767679; 337880859; -1; -1; 126138032; 851535671; 885891140; 109112545; 199298713; 602160268; -1; -1; 979445806; -1; -1; -1; 271916094; -1; 344403080; -1; 443496296; 620839500; 219322265; 273227635; 593094943; -1; 430356660; 732536479; 196801203; 544822195; -1; 973242125; -1; 504131806; -1; -1; -1; -1; -1; 912497271; -1; -1; 874290351; 115558316; 214130985; 989071166; 354420155; 679327614; 992190999; 243048584; 621088916; 486303100; -1; 996696999; 320454626; 865469085; 402266321; 364678110; 270603729; 352166536; -1; 152054173; 72080408; 333450259; 590716581; -1; 2674953; 170074338; -1; 400743907; -1; -1; 616901129; -1; 823579099; 508580648; 275477977; 654532017; -1; 47120872; 543727344; -1; -1; 429906405; 847493913; 599833108; 865317535; 108010210; 722855982; 245699322; -1; 15738539; 347967984; -1; 943968411; -1; 624087237; 495455767; 84847673; -1; -1; -1; -1; 455708594; 638195939; -1; 295022027; 195807589; 540835200; 342577112; 265907046; -1; 848358696; 611214870; 477196496; 419154314; 289453989; -1; 81621659; 825699245; -1; 312879624; -1; 499833870; 205384251; -1; -1; 887367833; -1; 374326522; 349868252; 327308259; -1; 748746527; 993694974; 484249824; 772952538; 869792754; 533955799; 786421924; -1; 594845282; -1; 546373521; 843120369; 634740828; -1; 988172350; 680171896; 373027064; -1; -1; -1; 965784676; 148825250; 231194960; 869495277; 493417087; 979645696; 949643107; -1; 776812077; 38321877; -1; -1; -1; 874441106; 871259832; 330455090; 295576030; 681663241; 799781861; -1; 600819167; 623696087; -1; 201774817; 936021583; 79650965; -1; 853296036; 491563489; 769446428; -1; -1; -1; 833769918; -1; 679074960; 21600006; 848994224; 376460179; 290410211; 93650773; 237189773; -1; 324660332; -1; 320640842; 364923800; 558945783; 821911689; 956098559; 127915146; 623797781; -1; -1; 588009175; 328746209; 441712363; 107060926; -1; 791444012; 393396927; -1; 497853422; 506692420; -1; 315902057; 595441128; 738645295; -1; 31976045; 81299899; 964154082; 36981634; 336308539; 465478050; 304226284; -1; 249401959; 633938590; 261716504; -1; 568547760; 294051761; 80081555; -1; 652663227; 249734349; 758025277; -1; 551143935; -1; 288896835; -1; 541454725; -1; -1; 848136227; -1; 318252641; 627512631; -1; 784495332; 149471747; -1; 517510805; 823142002; 520329993; 140892397; -1; -1; -1; 384091141; 313826257; -1; 41172927; 817344043; 949636462; -1; -1; 876245559; 508716689; 841961480; -1; 536413816; -1; 679860931; 32754150; 637600372; -1; 953458587; 557822628; -1; 514518849; -1; 594620686; 413684486; -1; -1; 510179289; 647882719; 48716024; 851131590; -1; 440048992; 328283804; 269517011; 191336137; -1; 772403569; 797517699; 718515173; 757328206; 473254856; 735423234; 267217136; -1; 745228772; -1; -1; -1; 745382889; 37902461; -1; -1; 606924955; 138851050; 392766506; 443331171; 973989463; 205305409; -1; 570299712; 409691156; 979851280; 887142508; -1; 52731402; -1; -1; 697239780; -1; 332922354; -1; 189022010; 549893851; 98367999; -1; 413825785; 775454674; 505900739; -1; 563110586; -1; 242418291; 82108015; -1; 288446365; 174366414; 8902633; 988658104; 407073525; 544269306; 649019993; -1; -1; 974377693; 505982875; -1; 606182061; 343035160; 958351171; 216334498; 47104697; 645257802; -1; 580128046; -1; -1; 337183905; 243114568; 512425551; 742870138; 708669069; -1; -1; 450577822; 605837870; 299246930; 590005530; -1; 339130544; 557536832; 974421725; 208679866; 251443011; 847357401; -1; -1; -1; -1; 824350632; 46903486; -1; 931302826; 674834321; 601637418; -1; 329155298; -1; -1; 999797545; 791156244; 632572635; 807268000; -1; 800361795; -1; -1; -1; 175609400; 512083961; -1; 254693975; 246619855; 852863637; -1; 550190895; 982633213; -1; -1; 17597681; 354734182; 889464242; -1; 716432997; 341344920; 156265481; -1; 896020376; 874138444; -1; -1; 457051691; 312684347; -1; -1; 963121278; 877284756; 546989957; 494786188; 237643505; 1137150; 33004196; -1; -1; 642056765; -1; -1; -1; 805600829; 986294443; 128410570; 291667890; 401933858; 133986929; -1; 559537063; 943708666; 327846117; 74031821; 743610648; 542632729; 785051357; -1; 786608807; 193488964; 791782786; 169165986; 946595418; 929457280; 350789424; 875199680; 895867652; 288904485; 492646971; 600262900; 922225469; 373368051; 339848754; 385790767; 576177734; -1; -1; -1; 136390783; 294448033; 456207680; 292462210; -1; 394710097; 704669321; 980131891; 445254307; 750623482; 644007792; 432622343; 402817086; 423068937; 250137895; 961896261; 29809802; -1; 378122883; 275176630; 996647106; 29209943; -1; 781226634; 935726619; 161031694; -1; -1; 926164630; 551538681; -1; -1; 989341653; 87497897; 810886019; -1; 361025809; 860042730; 81806083; 214182203; 915226925; 683186820; 192444079; -1; 807060047; 996513914; 30169834; 710862497; 275744186; -1; 603064507; 389568547; 318576364; 724181096; 779128200; -1; 82713725; -1; -1; 884404896; 22368521; -1; 557273866; 930111713; -1; 321238615; 801464944; 245809768; 178892716; 896115490; 958280315; 79115715; 782357190; -1; 25527079; 674698676; 894801255; -1; 517506769; 262537186; 757396703; 390752410; 210586045; 522454407; 128160715; 764729248; 294103834; 71714463; 424882066; 136589292; 634999568; 15143522; 824542893; -1; -1; 106788310; 807604688; -1; 700256405; 106249307; 996439209; 624859933; -1; -1; -1; 23189427; 830401242; -1; -1; 893292259; -1; 769916691; 543407328; 219936411; 946708146; 930490718; 279527803; 255593958; 363794252; -1; -1; 362903573; 491806980; -1; 920223833; -1; 975210442; 854548958; 409650253; -1; 185559824; 583819025; -1; 343472725; -1; -1; 649010135; 373877686; 793530733; 355901448; 8870526; 246893338; -1; -1; 202502357; -1; 506638222; 85011274; 559177423; 736027123; -1; 79054749; -1; 329046474; 848382040; 918104265; -1; -1; 246862000; 324889879; 827494245; 527236928; 596169817; -1; 53695631; 89416210; 413848132; 966844403; -1; 619682617; -1; -1; 741980496; -1; 33106232; 462482466; 339222941; 768525941; 794799823; 552071141; -1; -1; -1; -1; -1; 995425886; 989012343; 761798051; -1; 154621160; 5018358; 600484264; 401503625; 720847440; -1; 231628199; -1; 475170019; 679329585; 778775765; 967689464; 342530707; 491280400; 889243685; 647625624; 453585029; 15280240; 926159047; 363138131; 644009075; 180545108; -1; 144432223; -1; -1; 982596338; -1; 364126130; 262966975; 367158646; 22653568; 987917508; 139481204; -1; 117633775; 597281461; -1; 309012746; 418006555; -1; 971699581; -1; 622758791; 210321089; -1; 417355625; -1; -1; 600756540; 595784934; 963548357; 698254704; 690661425; 976777924; 509196872; -1; -1; 885760964; 510637735; 985919471; 192825590; -1; 218476852; 9196598; -1; 23309874; -1; -1; -1; 846420667; 380957057; -1; 765534039; 303401357; 981200272; 781958693; 415108195; 534498904; 788744456; -1; 14968495; -1; -1; -1; -1; 447276645; 284906759; -1; 597019457; 850670294; 407314952; 21408102; 657779005; -1; 767067364; 36158749; 530033344; -1; -1; 951481959; -1; 258268637; 529041093; 865831674; 139666835; 961872416; 391841900; 609294801; 621370427; 383319698; 688634274; 95139654; 491456247; -1; -1; 684278440; -1; 229990232; 311997096; 91076576; 702994198; 347064450; -1; 179349226; -1; 282759068; -1; 659239666; 182054873; 914443245; -1; 258851444; 779531162; 763808597; 328413544; -1; -1; 964633495; 4134715; 334980367; 813693993; -1; 232150261; -1; -1; 633948663; 472084190; 824773370; 252057408; 792361445; 226604696; 931244504; 976124701; 481495523; 942120723; 787033215; 385433415; 210730749; 610973873; 885851342; -1; 612363400; -1; 31739032; 115441749; 214667701; -1; -1; -1; 291321299; 944884172; 724489822; 836121639; 939379703; 318780799; -1; -1; 180656577; 623039584; 632531675; 520232318; -1; 121876460; 831846335; 451343896; 607947466; 602386004; 206155913; -1; -1; -1; 926624387; 103115189; 758225071; -1; -1; 596280832; 918100147; 816173298; 557077520; 125005063; 370986859; 609620703; -1; 677410679; -1; 215097760; 154814309; 367980138; 923826239; 159781635; 87347174; -1; -1; -1; -1; 951718486; 290140261; 114546652; 710658659; 805256318; 512243857; 613260873; 29180450; 6835688; 534174376; 608700151; 105684965; 554387350; -1; 58468811; 472544344; -1; 23032666; 859755877; -1; 847858000; -1; -1; 543393001; -1; -1; 777994922; -1; -1; 160858328; -1; -1; -1; -1; 501317792; 43441581; 531538173; 986983231; 321510566; 970727350; 535615326; 243051356; 71265462; 765230386; 829180778; 471890552; 452050268; -1; -1; -1; 563729235; 706936367; 203349783; 927495350; 29076942; 849221912; 437580885; 416490130; -1; 808749973; -1; 300732132; 775906679; -1; 560369260; 820988610; 839621105; 547654305; 246148869; -1; 645903392; -1; -1; -1; 55909238; -1; 816821439; -1; -1; 479363348; -1; -1; 118787241; 701715591; 745890511; 291585399; 181772768; 356885589; 20565355; -1; 982387987; 947677275; 917930952; 807245209; -1; -1; 942172100; 944356579; 990714818; 4876439; 61467092; -1; -1; 212977798; 488122155; 592272659; 385536039; 662073555; 23040615; 801131494; 903079719; 770372907; 73150730; -1; 946001060; 547353431; -1; 70518828; 138681260; 945377820; 607383941; 755852699; 681400845; 238483124; 705585997; -1; 772931672; -1; 312424109; 860376054; 413653131; 295825263; 263109036; 448066775; 972344670; 956269294; 367177538; -1; 790305660; -1; 14590693; 185590443; 420841656; 763726197; 538453112; 523675243; -1; 62184839; 467117705; 160985579; 26207837; -1; 816837469; -1; 783078140; -1; -1; -1; 817111405; 544089074; 421689412; 988232027; 455740358; -1; 722818354; -1; 290063774; 204335387; 922568019; 837186979; 201985897; 571603177; 519185343; 393982135; 460100352; -1; 229728167; 619241269; 707518821; 882932544; 424578818; -1; 686716820; 49754280; 165404357; 306719156; 368951634; 392420355; 480540438; 768147423; 669826051; 103325774; 609258685; -1; -1; 931260814; 244957919; 568550469; 701574697; 567957555; -1; 130448960; 327692021; 301189262; -1; 838806374; 824991152; 254311590; -1; 514630932; 702977445; 979376464; -1; -1; 547205041; 883074374; 309780505; 612565116; -1; 891278436; 235102869; 335076411; 980352605; 160488652; 648484024; -1; 114830120; 154846770; 88169588; 545864101; 559064945; 726703309; 409412915; 204199300; 917896570; -1; -1; 819985667; 264917480; -1; 532243634; -1; -1; -1; 750541064; -1; -1; 2643864; 589909395; 221516211; -1; 367678554; 914662102; 688199285; 609733398; 219273255; 803595314; 12602852; 367032764; 63801611; 726185867; 642773994; -1; -1; 292500642; 534606419; -1; 466131472; 689304428; 461741275; 746825224; 806998849; 248183958; -1; 68503427; -1; -1; 628781987; -1; -1; 520886331; -1; -1; 649207424; -1; -1; 457906591; -1; 840954187; -1; -1; 378105648; -1; 610196126; -1; 551766608; 422159546; -1; -1; 329530276; 889007568; 586256764; 827006832; -1; -1; 727356207; 499202428; -1; 542806283; 111005104; -1; 737832644; -1; 746340541; -1; -1; 716784140; 452636114; 779474334; 587217141; -1; -1; 231392387; 811238685; 753457037; 611738242; -1; 221582092; -1; -1; -1; 906706043; 275990357; 667054997; 522593348; 453848056; -1; 288738104; 934796802; -1; -1; 562095020; 792978138; 35500920; 894743548; -1; -1; 163462088; 80060446; 950766159; 76902249; 919962690; -1; 62485834; -1; -1; 18328374; 799252993; 171139591; 806520025; 511229226; 311268141; -1; 25308899; 437306656; 31848490; 724777889; 143949033; 257475505; -1; 43840029; -1; 191483056; 472356183; 189196466; 338190380; -1; 8374487; 800330487; 382058353; 641466333; -1; 376946494; 952014954; -1; -1; -1; 675046336; 973233315; 423524564; 868477255; 321294939; 88218988; 108384818; 631182239; -1; 54124969; 214370040; 980673895; 726900207; -1; 109830741; 776847912; 742257898; -1; -1; 940861776; 258039049; 357700193; 771215649; -1; 343343439; -1; 826293621; 584489538; 751047347; 633157137; -1; 774323207; 883041366; -1; -1; 250815313; -1; -1; 661828016; 446928331; 625584498; 448619265; 422511505; -1; -1; -1; 391946412; -1; -1; -1; 916528540; 406525706; 738058368; 774991791; 517444022; 778113408; 969435727; -1; 279369039; 135385627; 329779635; 836783346; 108584148; -1; 561209442; 872223168; 596732735; 917787523; 719331555; -1; -1; 599259450; 538516305; 907793321; 217226788; 659202323; 660547408; 626766592; 421630917; -1; 994077282; 690331532; 169156993; 206895837; -1; 956419324; 993000263; 823065140; -1; 225506215; 901236162; 662311750; 498587476; 544754143; 464735638; -1; 371111232; -1; -1; 655208703; 705736063; -1; -1; 977666354; 839973439; 593258226; 945811473; -1; 134504930; 1383109; 159727204; -1; 354670815; -1; 794980429; 768350443; 484638955; 783538750; -1; -1; 769759582; 658389051; 635796093; -1; 750074797; 932673741; 586628088; 345325218; 866460458; -1; 81211362; 213451269; 35831449; -1; 429740525; 154557810; -1; 274290690; 59138397; -1; -1; 827351497; 287205775; 535660651; -1; 567493559; -1; -1; 641266054; 498227049; -1; 262004830; 234074943; -1; -1; 930485623; 735627137; 893372332; -1; 47190514; 564569872; 763400635; 931206205; 628426054; 537762023; 269355885; 982410842; 370435527; 333236625; -1; -1; 562725198; 380361712; -1; 491372640; 503156775; 984358382; 381972792; 940252599; -1; -1; 327173097; -1; 921865243; 308910854; -1; 528926809; 127289166; 95561145; 268783117; 57306572; 715228948; -1; 760227568; -1; 92275924; 627954932; -1; 487136067; -1; -1; 888155958; 494310010; -1; 532964137; -1; 927067617; 316654434; -1; 855575272; 675062970; 352526336; -1; 907643991; 448628850; 108175162; 645272878; -1; 255091542; 534783679; 738351629; 81543983; 491836557; -1; -1; 128024686; 519662053; -1; 274834264; 733890545; 319196450; -1; 933016444; -1; 987153686; -1; 51454822; 67401300; 997303481; 153392747; 69275992; -1; 524120250; -1; 855473677; -1; 274373564; -1; -1; 177932790; 565268417; 523379060; 900621039; 989087196; 348424508; 438872469; 209724640; 93376561; 578591839; 438819876; 382404385; 467015391; 818023863; 804658816; 509295953; 815418469; 799043009; 636746934; 865300500; -1; -1; -1; 357805041; 393392318; 570629479; 595252380; -1; 111708235; 892970875; 717812009; -1; -1; 615293926; 237328332; 653452207; 515816567; 388727746; 432763776; -1; 117330117; 355943270; 986528514; 36298365; 64712388; 231755730; 380367188; 134472686; -1; 904215097; -1; 655267274; 383243452; 580693640; -1; -1; -1; 159667917; 570157842; 438656169; 59633328; 527669405; 966842097; -1; -1; 675784208; 588723205; 45430080; -1; 83405929; -1; 507119150; 757120667; -1; 62761207; 85808331; 846175; -1; 677534886; 455080237; 936016301; 491803744; -1; 890536808; 487006305; 452278344; 481751197; -1; -1; 49955660; 965353689; 579614369; 165090535; 608339010; -1; 656498524; 907994422; -1; 478306037; 425332610; -1; 719250328; -1; -1; 237580318; 418711161; -1; 514203335; 654810741; 931455562; 38882477; 109499481; 545252804; -1; -1; 768672785; 782191159; 2798817; -1; 682282832; 13557117; 808707750; 63905834; -1; 190425146; 25526145; 855085215; -1; 859549055; 910804025; -1; -1; 768593280; 725537402; 397077923; -1; -1; 530911409; -1; -1; 283921023; 41332538; 315002015; -1; 30996679; 649344290; 269871508; 699821627; 29779739; 100575035; 543434030; 336401350; 113626397; -1; -1; 307214006; 179929706; 742648563; 583229981; 368655869; -1; 189663076; 858178645; 782792103; 894047754; 685439155; -1; -1; 527339376; 39392321; 989006711; -1; -1; -1; 639612072; 685272461; 970151797; 310713911; 437935166; 253799844; -1; 534831773; 861482747; 204192447; 416335497; -1; 288794196; -1; 867126930; 940703855; 733746806; 568241757; 51985595; 306231769; 27833123; 39092966; 608641446; -1; 396827030; 816028663; 175933082; 820693627; 927723743; -1; 780849685; 251857286; 183434176; -1; 273299383; 15300346; 152244426; 426926869; -1; 399753351; -1; 369668379; 820033217; -1; -1; 750251914; 300686204; -1; -1; 572821668; 399432313; 670980207; -1; 564175047; -1; 776461158; -1; -1; 286752595; -1; 968349918; 938998990; 11138950; -1; 336558986; 858367840; 231772499; 965285648; 105481004; 181489101; 514079127; 313943666; -1; 326925971; 1976315; -1; 216570773; 901466534; 920230622; 629945937; 574848056; 174370718; 887791385; 556812240; 202819244; 668804467; 157021155; -1; 189465897; 114104648; 730006226; 870256473; 468315454; 854699069; 158428316; 474791927; 601093803; 457698042; -1; 580047775; -1; 973429199; 940805073; -1; 435872074; 186860521; 163411010; 390452241; 887707303; 279824276; -1; 404648086; 943320339; 328767407; 26144156; -1; 793926289; 360062846; 880265616; 47410789; 270417327; 840489187; 443546053; 75163917; 969295203; -1; 498624154; -1; 910238906; 252790674; 434259725; 704068919; -1; -1; 402226110; 8491426; -1; 98712479; 965741301; -1; 263613313; 375858536; 782714213; 390752914; 761619817; 836410903; -1; 642862371; 865171666; 278088664; 941334599; 317998404; -1; 2503254; 584251691; -1; 855126879; 716484796; 88435767; 404740311; 747077303; -1; 620644039; -1; 234377759; 719955716; 645429055; -1; -1; 848549866; -1; -1; 318850683; 567747775; 736431796; 958510795; -1; 582407501; 262320102; 399142170; 179827907; 922559519; 876660327; 105848610; 308011442; 436960684; 667902208; -1; -1; 176292780; 640733372; -1; 23327603; 489395578; 504773427; -1; -1; -1; -1; 704548116; 744845839; 472494259; 844950171; 304016588; -1; 702949297; 897938411; 229541476; 854212619; 593298189; -1; 784088479; -1; 695074586; 283319789; 314149107; 482267314; 673252587; -1; 652388721; -1; 174975571; 334210950; 853372357; 912732254; 506408283; -1; 770375584; 612182585; 487330015; 999147963; -1; -1; 581811539; 321735911; 51778141; 769402279; 348355690; 709147724; -1; 305809875; 702913112; -1; -1; -1; 872330937; 134841792; 928891309; 53813606; 113985605; 553982829; 622487936; 403657328; -1; 157212796; 382677366; 121201765; -1; -1; 581008983; 642663164; 752144196; 368046672; 626614174; 578847712; 718733615; -1; 58532180; 885370077; -1; -1; -1; -1; 921162896; 186356617; -1; 966191534; 218900535; 456564286; 295228558; 330047591; 540604330; 521312537; -1; 678712501; 545018399; 885875377; 847957550; 831927878; 986037707; 957387750; -1; 721461328; 393384152; 746154979; -1; 206793750; 873604257; -1; 327792678; -1; 995636124; 759705716; -1; 886544584; -1; -1; 941354750; 209419836; 277206267; 269667868; -1; -1; 453002639; -1; 592588576; 345666876; -1; -1; -1; 415760347; -1; 970129982; -1; 686077299; -1; 845269617; 94770331; 514039672; 386394522; 527256170; -1; -1; 929439083; -1; 481090154; 810745306; -1; 85459314; 939789770; 905027671; 757900682; -1; 89176505; 676531008; 148884534; -1; 479916017; 910232631; -1; 473226225; 298163843; 96937470; -1; 123438732; 496612174; -1; 7685763; 128928430; 103782495; 538838661; 691357211; 590667098; -1; -1; 184512378; -1; 446417436; 902615070; 681122196; 857809335; 756135775; 6788865; 205347521; 925269994; -1; 24942009; 623490454; -1; 805245118; 803512027; 251449835; 150168127; -1; 783266199; 464279941; 223497666; -1; 893763443; 26713354; 448214251; -1; -1; 53168401; 279242553; 744649343; 67659476; 499545011; 979643385; 618814706; -1; 845015027; -1; 461168627; -1; 416094756; 548828641; 324773551; -1; 43140399; 829701606; 125702840; 542416494; -1; 191863460; 884867832; 128522074; -1; 296166298; -1; 931128921; 433581372; -1; -1; 503084780; 125277430; 736948764; -1; 333940804; 729334145; 752749393; 715942333; -1; 561596694; -1; -1; 95325017; 588370790; 646008055; 411019778; 59363951; -1; -1; 551358772; 239858240; 334872800; 57769379; 966059859; -1; 21859134; 561545344; 933256360; -1; 403920624; -1; 232794928; 260549345; 152583524; -1; 811604394; 936445503; 318713740; 531165030; 661050426; 788906375; 412195573; -1; 840148527; 29470984; 680325350; 555971189; -1; 688796859; 186917447; 121973180; 409232591; 336966599; 362197084; 721368352; -1; 115715890; -1; 264816599; 240911272; 257973985; 518130833; 165871320; 733397641; 909092653; 283983117; 222197396; 149351046; -1; 489248377; 125551655; 749850855; 594429581; 223225012; 719487940; 503248601; 963785347; -1; -1; 518902099; -1; 201812994; 974766857; 217903643; -1; 39635384; 500012120; 244523885; -1; 777472001; 160526431; 146731003; 828212420; -1; 41891370; -1; 788012622; 262135203; -1; 206553207; 333397844; 243470221; 715671945; 761123498; 550756247; 181874158; 179098779; 988794797; -1; 581040839; 213126277; 467912543; 252440852; 327210367; -1; -1; 943537708; 771406987; 857249150; 448546316; 821598026; -1; -1; 100566511; 657743606; -1; -1; 490571865; 351419460; -1; 4679835; 485644311; 437292368; 705654670; 137955521; 701128479; 645475203; -1; 62109815; -1; 171787796; 917051571; -1; 412554167; -1; -1; 574322537; 271809007; 556301550; 184889689; -1; 936555798; 534890323; -1; -1; -1; 852347552; 426809291; 988887067; 16631739; -1; 477205525; 395532196; -1; 569013247; 671837974; -1; 665139894; -1; 529677809; 827090471; 165699148; 747689920; 267828505; 182059443; 412554369; -1; 818490008; 100635494; 699665045; 566954769; 444198195; 498421109; -1; 307408060; 167849027; -1; 657235586; 318235564; 44187605; -1; 407206911; 839236639; -1; 773209121; 645591339; -1; -1; -1; 965622507; 693233686; -1; -1; 31735325; 319376908; 701183182; -1; -1; 416313430; 520129563; 234158889; -1; -1; -1; 166756686; 352471486; 140503670; 456709063; 829254009; 1664292; 185726638; 832687268; -1; -1; 280664379; -1; 335064542; -1; 239254845; 959249093; -1; 764598485; 232643059; 301621703; 772458361; -1; 133481168; 156340268; 933046209; -1; 68578274; -1; 539951517; -1; 151339210; -1; 199078994; 138478473; 919615029; 183827311; 856414742; -1; 617563518; 905375371; 113111782; 30674589; 643890176; 713730183; -1; 175422509; 931007629; 835445207; 197547092; 41855946; 144912680; 529760962; -1; -1; -1; 319497388; -1; 204953705; 61158200; 870118204; -1; 248208677; -1; 555999269; 130553788; 977266274; 310289582; 143312155; 819819244; 189629998; 703305149; 921608872; 488471399; 494054974; 744997662; -1; 569365364; 347950199; 388045690; -1; 531296119; 360561565; 278119954; 152942602; -1; 159956225; 978722154; 312842346; 898614603; 180131851; -1; 550311618; -1; 545937425; 565288720; 612648091; 497971046; 921468447; 315594674; 650795364; -1; 351060408; 336198155; -1; 668248911; 96231688; -1; -1; 201155912; 362902866; -1; 383061779; -1; 477224642; 399816466; -1; -1; -1; 956569678; 353346054; -1; -1; 54826934; -1; 902219293; -1; 577766173; 475303684; 635409304; -1; 407363892; -1; 390394575; 452380900; 839240619; 903364079; 545819561; 399220967; 260918695; 947076591; 772347821; 282143633; 298381032; 149817905; 633550891; -1; 152120508; 638517941; 895163746; 944321562; -1; 379015608; 813032882; -1; 344324506; 681565494; 495621625; 27196696; 982432956; -1; 602161839; -1; -1; 214493139; -1; 350537456; 322941473; -1; 848038511; 47690573; 725279909; 854960988; 795082949; 160708163; 154678856; -1; 199711973; 861760536; 212488261; 643694496; -1; -1; 708629481; -1; 883731931; 398969580; 832149775; -1; 778385129; 689068913; 267209038; 988998524; -1; 376621795; 783729866; -1; 783510055; 757106836; 626821295; 434793761; 190818386; 879678354; -1; -1; -1; -1; 460735815; 880836639; 157162155; -1; -1; 409140366; 541621299; 325368134; -1; -1; -1; -1; 399133311; -1; 882746342; -1; -1; 766302134; -1; -1; 247125666; -1; 638648698; 282002704; 205199552; 292885185; 161486323; -1; 600843837; 964728642; 932053184; 185890649; 709899735; -1; 997065115; 625452383; 863445779; -1; 602424068; 122184435; -1; 877027079; 563329628; -1; 779400190; 124735243; 614562986; 408353923; 692057473; -1; 188669614; 739208416; 365185891; 951549201; 12661408; -1; -1; 685838236; -1; -1; 641605422; -1; 740416926; 90742876; 23118029; 308217882; 327145933; 502877368; 280266830; 45500568; 459671821; 547318007; 455063068; 40688569; 798026699; 732253533; 316969499; 690836853; 311627165; 639683380; -1; -1; 57149000; -1; 391802191; 508408986; -1; -1; 12893120; 994635195; 646755781; -1; 33031118; 43986814; 618765976; 194215236; 846211664; 467868121; 822217410; 360147440; 478729017; 724395651; -1; 209431499; 186706242; 908942523; 755485748; -1; 503700366; 344498481; 155246648; 495998560; -1; 477545326; 694217361; 706303566; 734411675; 751852212; -1; 446559495; 799593463; 987439708; 417652523; 201617302; -1; 824889565; 622566726; -1; 658735314; 830329640; 924090245; 69930892; -1; 290490340; -1; -1; 581435115; 823769293; 200731047; 386963943; 151469819; 126784707; 391603295; 574715024; 90829866; 561127733; 846895127; -1; 928382861; 457111862; -1; 268973282; 864820246; 959300750; 415744693; 247096743; 320154528; 911994671; 545820610; 804302729; 378604153; 814646604; 728304524; -1; 281267597; -1; -1; 963154615; 439628061; -1; -1; 65478529; 430437751; 856721872; 101415591; 529493103; 871929150; -1; 886851222; -1; 417001327; 129470237; -1; -1; -1; 317198017; 494719945; 721223509; 303382612; 285333048; 27624928; 955726942; 286312630; -1; 736552679; 243492534; 768696606; 149962560; 91005120; 839682280; 725576500; -1; 485565342; 160988848; -1; 253576909; 691906613; 917120437; 613506545; 699058024; 433477564; 394136122; -1; -1; -1; 763140545; 215426533; 862530777; -1; -1; 619078911; 885194712; -1; 956051004; 175582621; 808531839; -1; 879559570; 73090137; 724561782; -1; 428025104; -1; -1; 845150899; -1; -1; -1; 813575182; -1; 968163533; -1; 713499236; 706119822; -1; 582760582; 876067227; 402540468; 767443105; 550771486; 319222358; 259626614; 236974914; 820480369; 610188315; 201856373; -1; -1; 187166142; 467771349; -1; 788407036; 874077011; -1; 216070842; 567729502; 913979252; 944471921; -1; 963607909; 753361737; 801379336; -1; 93709898; 987328282; 124065232; 987213982; 894799100; 630877166; -1; 357362558; 742654778; 54368796; -1; -1; 818170521; 143319055; 69872738; 399244618; 608963287; -1; 479029440; 619948468; 780709848; 704788284; -1; 413144516; 7090505; 982355177; 230735439; 826106008; 895327030; -1; -1; 32981934; 812102108; -1; 426922544; 336136553; 839268317; 669263130; 444089649; -1; -1; 845816714; 419426503; 78791919; 205507278; 339225095; 898364573; 805637220; 647802300; 300366559; 768057026; 51301059; -1; 664212566; -1; -1; 456994285; 708059884; 463721278; -1; -1; -1; -1; 653258896; 353173457; -1; -1; -1; -1; 590799636; 305188620; -1; 172027401; -1; 683734994; 543359392; -1; -1; 349076740; 148269007; 877954625; -1; 53659363; 762748424; 60724954; 968937476; -1; 241372806; -1; 596816057; 826277418; 503172358; 209237501; 782008488; 803958155; 499122747; 801331887; 865867972; -1; 56603532; 271691928; -1; 240837873; -1; -1; 63524185; -1; 370789721; 181902309; 557152143; 984557280; -1; 279947589; -1; -1; 966711171; 359063592; 146397981; -1; -1; 455423562; 12130194; 714411532; 623007342; 404534758; 313078580; 529141264; 463184632; -1; 587687039; 565693099; -1; 393016401; 604772568; 580875775; 341694895; 364895886; 725944493; 943054409; 360954637; -1; 507667885; 381227609; -1; -1; 14800395; 291911412; 487963197; 477683993; 772601836; 543998876; 799668826; 535360018; 303671465; 96079665; 471460497; 820270808; -1; -1; -1; 839750001; -1; 320192426; 499042892; 861693267; 853183486; -1; 895185671; 470972268; 392129012; 167370602; 774580986; 809997152; 889425847; -1; -1; 606907551; 149111328; 324049426; -1; 323864967; 691123973; 188684005; 934966079; -1; 954267073; -1; 52767537; -1; 616486365; 172856928; 224899029; 566650395; -1; 851401659; -1; -1; 507690926; 909814681; 928815211; 176175105; 926738741; 553352069; 822327758; 937787843; 962065837; 652815911; -1; -1; 975532912; 492252106; 138868126; 479369049; 41971240; -1; 426105357; 246386059; -1; -1; 287824906; 724305330; 499214011; 83624028; 623351873; 290791492; -1; 806460921; 872866358; 200356784; 911943395; 956245248; 560593284; 891024613; 236301638; 417861892; 508347879; -1; 321692404; 904495382; -1; -1; -1; 114998800; 488043385; 209018162; 101733723; 403542542; -1; 799294329; 195219455; -1; 706786990; 284848147; 451259260; -1; -1; -1; 186862769; 77197401; 409721248; 988393850; 795383813; -1; -1; 670507894; 561257519; 568424499; -1; 190869522; 502630920; 314050855; 509486224; 904450428; 642715374; 450605032; 379246897; 147538416; 495209397; 633249264; 715604625; 519690821; 893720759; -1; -1; 628426624; 118875693; 114198275; 325235020; -1; 428401019; -1; 593750152; 336638578; 679936305; -1; 292187265; 829066168; 56953415; -1; 981232244; 283516962; 671739530; 189539620; 902492255; 685843826; 819696520; -1; -1; -1; -1; 638505712; -1; 289972478; 893569675; -1; -1; 265511587; 964011943; 184204161; 312116791; 845974367; 707283317; 593528314; 576714007; 241154524; 108531767; -1; 420837053; 251046314; -1; 433752792; -1; 927266009; 250524765; 393445630; 261812836; 664806183; 786621376; 789083335; 530371634; 839321540; 832032011; 631179811; 680133418; 99982545; 390433042; 970916097; 632230004; 516130242; -1; 501577197; -1; 964828850; 136739418; -1; -1; 774475726; 81586267; 348624911; -1; 742580808; -1; 946088577; 860932380; 971646666; 642577136; 269113030; -1; 694690483; 792892864; 589859365; 755797198; 103766787; 276934974; -1; 701575363; 880443044; -1; 554611852; 3270254; 895799227; -1; 672151482; 216230511; 654927391; 158576102; 195555808; 273318474; 820668198; 119294822; -1; 692079799; 956684469; 18917875; 581922981; -1; 540383523; 629368220; 420424093; -1; 813830449; -1; 321350315; 46113213; -1; 205976182; 980566697; 73783584; -1; 163228588; -1; 763691535; 132007765; 801696577; 454563747; 893555232; 761299483; 413306112; 895693795; -1; 763956824; 784160481; -1; -1; -1; 330608300; -1; -1; 537458962; -1; 777412650; 662222687; -1; 838878898; 754175377; 568202528; 978507336; 330262448; 416796850; -1; 759984802; 342653209; -1; 449760716; -1; 531634188; 847287107]) + +let test8 _ = assert_equal 1 (minDifference [-1; 639161915; -1; -1; 743579521; 717617076; -1; -1; -1; 924276297; 157194645; 20083099; 618694006; 413718951; 290186181; -1; 651629291; -1; -1; 476902543; 451983954; 699899459; 982685397; 479465884; 548286569; 464914514; 905312203; 88581276; 232522362; -1; -1; 201227575; 118755561; 318427412; 334333186; 324413920; -1; 289238250; 650205688; 936943148; 523347510; 439406940; -1; 564910764; -1; -1; 9977678; 296852333; 808793299; 603582094; -1; 62600631; 489717645; 807374757; 772835555; 809902639; -1; 94779959; 507590077; 37441761; -1; 745888569; 342306484; -1; 323670969; 20872586; 43755315; 908995939; 940106621; 429674018; -1; -1; 870931530; -1; 669823615; 44462343; 174997666; -1; 519233349; 222211360; 368168492; -1; 437460181; 328140677; -1; 470296878; 794384734; -1; 428510371; -1; -1; -1; 994765100; -1; 657465590; 167891981; -1; 809882510; 514782318; 916305713; 594246725; 173959418; -1; -1; 829636941; -1; 907128950; -1; 824662529; 388653927; 22866582; 515313024; -1; 763160725; -1; 779936153; 819347649; 259324544; 89384546; -1; 661520434; -1; 299343859; 949022937; 34042132; -1; 688172096; 640184853; 987415905; 376043972; 382469432; 364430370; 191553994; 751883961; 172829321; 830616766; 281394971; 719986460; 974648005; 987763037; 543780379; 447545255; 577019720; 411257306; 265430288; -1; 937238972; 60669829; 135302727; 832033357; 225274119; -1; 533819004; 152132901; -1; 265233922; 639602895; 638250145; 490749771; 106810562; 551215032; -1; -1; -1; 242781672; 605404830; -1; -1; 365757696; 263107833; 1283452; -1; -1; 797233607; 51680198; 421805432; 798858318; 748969158; 195637488; -1; 938692345; 803780604; 36696519; 738826618; 619633840; -1; -1; 643631686; 797081581; 685031134; 244970331; 961677682; -1; -1; -1; 531472049; -1; 635160870; -1; 600781744; 910534005; 310093300; 812439941; -1; 570258874; -1; -1; 878176918; 890242693; 241609188; 670731568; 576724959; -1; 72958399; 329301577; 972013099; -1; 457262019; 364074839; 920045532; 984771976; 674521312; -1; 821357967; 716324011; -1; -1; 849955391; -1; 994039222; 366454232; 315139844; 132791719; 109876260; 253636153; 230757703; 712204508; 912472617; 617701659; -1; 390712320; -1; -1; -1; -1; 928219010; 555650764; 210920097; 120105627; 830614976; 790849391; 36512601; 554981262; 187626142; 374468721; 176362305; -1; -1; 181357367; -1; -1; 478118594; 214531411; -1; 764136939; -1; -1; -1; 932146905; 660642454; 855536411; 402952298; 435841554; 403793482; -1; -1; 199182353; 459687909; 30631366; -1; 875406047; 516611026; 391254799; 986268324; 989577132; 219597464; 461611321; -1; 920446891; 742022578; 895572088; 290174586; 759481233; -1; -1; -1; 361579651; 625192595; -1; 606734207; -1; 994290145; -1; 626348726; 340351052; 124160769; 323468751; 614651634; 50920302; 2535885; 488397620; 814838774; 936526498; -1; 307055822; 608882869; 322429150; 645803512; -1; 956084084; 362147528; 574557441; 694342191; 57366060; -1; 810892257; -1; 928681891; 70179313; 238314744; 59629056; 595942277; 748668466; -1; 933389310; 883732620; -1; 484593227; 503665657; 167892632; 84924074; 493726146; 212766968; 488168861; 99176582; 417568977; 457633673; 783493437; 307990515; -1; -1; 986212309; 603501564; 251109683; 984224463; 534904101; -1; 367796553; -1; 811208657; -1; 360824701; -1; -1; 436229083; 661898616; 461216521; -1; -1; 510492474; 388120082; 464372075; -1; 215955830; 280867311; 464039154; 93706169; -1; 958304827; 524170812; 821655606; 956164888; -1; 781465008; -1; 370184529; 355238214; 866880918; 605338968; 485202663; 472175209; -1; 273542116; 275715829; -1; 690925895; -1; -1; 930021051; -1; 491594834; 143019642; 959548973; 849149116; 91301795; -1; 144859505; 530330121; 358477583; 260976533; -1; 732311248; 183941193; -1; 740675098; 773132665; 289173575; 107971516; 250423718; 24277973; 302058072; 150339706; 276703862; 755761735; -1; 390490234; 885382020; 130590958; 753481727; 97660877; 568028246; 122326546; 607107333; 153738327; -1; -1; 126149066; 197515776; 140682649; -1; -1; 472019330; 678644069; 805186047; 321550651; 265471103; 605579855; 316881427; 824382449; 869045506; 555459534; 246675322; 451252215; 902299556; 61696273; -1; 920455020; 508415432; 587437177; 126316056; 612796807; -1; 741474426; 494843283; 769030572; 209257151; 884257498; -1; 779891399; -1; 103588790; 61531224; 691303713; 31155387; 915136943; 392438914; -1; 224749780; 121854705; 569512271; -1; -1; 88706635; 678782315; -1; 913796256; 766787371; -1; 675167979; 829896359; -1; 743427243; 906997449; -1; -1; 776570919; 767733152; -1; 608928260; 887774817; 517580875; 145409095; -1; 879172915; -1; 79774477; -1; -1; 533480441; 335750717; 388593426; -1; -1; 150757642; 53920826; 85934378; 353306404; 188652434; 947395776; 12073929; 517383803; 317561777; 350851096; -1; -1; 773903344; 673828886; 421448277; 47943354; -1; -1; 834180149; -1; 560620158; 943178914; 896558988; -1; -1; -1; -1; 378561013; 259057470; -1; 795720018; 225887075; 806381176; 438466828; 195984506; 32413156; 859865930; 315191399; 851803005; 913226849; 206441255; 502937875; -1; 5876241; 260876939; 137915862; 678759765; 534473704; -1; 474241796; 391394975; 550517738; 236929882; 712067494; 478476808; 255145759; 26690838; -1; 530228061; -1; 987916905; 217742527; 668752451; 466841592; -1; 710590983; 153163334; 491538705; 34214341; -1; 588298197; 194122934; 832774158; -1; 563033494; -1; -1; 581735915; 405950880; -1; -1; -1; 210113772; 695451258; 347833855; 417724793; 268774063; 561470803; -1; -1; 45454703; 822062008; -1; -1; 1985072; 524285992; -1; 872285462; 989370111; 571396403; -1; -1; 427042072; -1; -1; 224950735; 845033409; 569064903; -1; 320334234; 648898254; -1; -1; 250860504; -1; 560198607; 248875643; 498987026; -1; 385718341; 573047741; 304885588; 606295223; 488326248; 918774896; -1; 335861025; 664728516; 368717406; 59376158; -1; 224563418; 275312353; 376067618; 570070963; 321070093; 420345622; 548526023; 628105551; 420377572; 417787432; 41155550; 904074494; 692765884; 973809180; -1; -1; -1; 384523868; 385207094; 564615943; -1; 698149706; 525407681; 315064352; 203773956; 64548019; -1; 464342752; 689005337; 410986388; 141499088; 428979689; -1; 2980051; 470530451; 280810939; -1; 731883601; -1; 37275507; 394852366; -1; 984656097; -1; 155015738; 324831180; 358512190; -1; 821266155; 980297854; 285692041; 793724364; 81795919; 971770215; 14687630; -1; 394385682; -1; 573358184; -1; -1; 220271458; 476290768; 547661005; -1; -1; 982844824; 977112300; -1; 172569521; -1; -1; -1; 242682453; 778150863; 71308449; 823855475; 274833741; -1; 148013663; 158874587; -1; 501796637; -1; 652314728; 563265528; 848215218; 103408452; 322627536; 661452417; -1; 752197634; -1; 861657732; 447821119; 860301041; -1; -1; -1; -1; -1; 288591689; 307047078; -1; 591639268; 369371333; 511234554; -1; -1; 809516582; -1; 970953680; 235437495; 762400205; 951034617; -1; 898774951; -1; 532669749; -1; 933548202; 518079991; 868296120; 393979152; 566249959; 944664464; 874428899; 411544634; 800490913; -1; -1; 128566742; 469131831; 518185854; 681316427; 201407869; 80968452; 89914017; -1; -1; 677849114; 934661684; -1; 603929176; 342018715; -1; -1; 694632668; -1; -1; 355306398; 834026950; -1; 206585406; 588804424; 204977788; 428816945; 328952895; 397639569; 356247984; -1; -1; 654331543; 104248772; 759745928; 444837117; -1; 647498890; 678319277; 405900192; 656940664; 849580217; -1; 106115799; 722865406; 242757618; -1; -1; -1; 649876869; 66053631; 901740055; 906687159; 125758745; 276283427; -1; 729525385; 399526261; 984445449; 325948703; -1; -1; -1; 906658211; 17161138; -1; 680621193; 647838672; 848565350; 965116489; 502768623; 516497928; -1; 74390940; -1; 140873721; 686972184; 432204419; -1; -1; -1; -1; 687862160; 564587294; 295672343; 72487749; -1; 134052905; 966787328; 789552209; -1; 223847112; 232213871; 49426089; -1; -1; 522173470; 520914661; 252142471; -1; -1; 826974574; 335524026; 651399790; 652973636; 348901897; 604361076; 529220740; -1; 644008443; 96097532; 206688812; -1; 143709328; 179510187; 44649207; 492679138; -1; -1; 672303681; 634344701; -1; 765580795; 843657913; 49855828; 479812234; 628335666; 971762939; -1; -1; 292166738; 903949434; 780586365; 799421156; 174047412; -1; 760005041; 647791892; 352402656; 827619444; -1; 847921234; -1; 235262084; 245036882; -1; 207353238; 748428620; -1; 301430990; 488995319; -1; 360866731; 165180120; -1; -1; 629255709; 975268135; -1; 952245992; 800297830; 891630105; 868598328; 540305137; 172036191; 365653443; 2992891; 35533825; 292393950; -1; 263331371; 634998561; 804180703; -1; -1; 11266453; 197686651; 493108570; 402156697; 564912237; 909512405; 842300502; 386572189; 526869956; 904361033; 299624697; -1; 541889677; 167966802; 991216975; 576167331; 817967454; 585887534; 87221196; 832873417; -1; 980821219; 934409937; -1; 945004298; -1; 676533313; 122881048; -1; 468162890; 201790960; 276831209; 665573039; 769049070; 583391115; -1; 711959671; -1; 555867407; 952966804; -1; 577566649; 742268499; -1; 380402918; 974486528; 194740740; -1; -1; 145750057; 898429154; 262792323; 372873765; -1; 566941439; -1; 398252915; -1; 757344277; -1; -1; 215141809; 573912637; 141990484; 668504929; 642502730; -1; 561035203; -1; -1; -1; 695910904; 708966450; 665632704; 218117254; -1; -1; -1; 236557368; 678219718; -1; 594982299; 729092595; -1; 980544492; 651079329; -1; 974006861; -1; -1; 918271606; -1; 320087991; -1; 583750497; -1; 262133731; -1; 636351335; -1; 793776818; -1; 971831200; 940083631; 308666363; -1; 909526578; 727230255; 524021211; 317015187; 400039011; -1; 867239164; 109123824; -1; 356146402; -1; -1; -1; 876776615; 685394148; 94836010; -1; 55589276; 868386839; 521757753; 91397621; 35208032; -1; 925542598; 316630842; 492643545; 538299901; -1; 541348927; -1; 727250679; 903396312; 870894718; 864864545; 640381689; -1; -1; 647012414; 702187791; 896739617; 683201364; 305592010; 390424400; -1; 568190260; -1; 837621394; 994978495; 905528479; -1; 847328795; 368891959; 640812454; 570551514; 658990395; 198268612; 908221033; 213787013; 319334876; 732739170; 482338024; 899514437; 88757072; 838200785; 348435045; 80482096; 711027461; 897774908; 186432675; 462977398; 540223742; 262653795; -1; 571164338; -1; 996783683; 965187433; 146949140; 821193882; 307386161; 605010970; -1; -1; 963995774; -1; -1; -1; -1; 18433192; 106577430; -1; 307306456; 781404323; 156698393; 705086165; 186595279; 74799319; 392631914; 596917042; 758748242; 419475347; -1; 667688563; 597816511; 267786274; 849964877; -1; -1; 352416556; 703663355; 535615958; -1; 996180261; 655258268; 361927848; -1; -1; 441447797; -1; 536845836; -1; 273707011; 840700784; -1; -1; 320569738; -1; 10534658; 525991977; -1; 173450453; 727327573; 91246021; 946884525; -1; 877421586; 41127185; 223010998; 67057043; 519332667; 351161143; 859993804; 957689795; 616760288; 518083536; 814597761; 519812547; 826389211; 877767177; -1; -1; 863300643; -1; 170553140; 61317309; 739135503; -1; -1; 152234756; 180895402; 276136172; -1; 325505966; -1; 435420605; 722266558; 739564705; 682830552; 892348127; 605136853; -1; 843857445; -1; 778066887; 571473283; 987196657; 973439180; -1; -1; 359135765; -1; 151435826; -1; 898160854; 610390224; 156159529; 252347750; -1; 995933805; -1; 838781413; 978810797; 325518780; 787766868; -1; 803450803; 592201847; 488814285; 153449638; -1; 258607015; 502901263; -1; 658131214; 858894225; -1; 18011714; -1; -1; -1; 668445996; 523707740; -1; -1; 860491174; -1; -1; -1; -1; 63705401; 182134890; -1; 507425599; 695332820; -1; 216564473; 789433175; 168303244; -1; 373157598; 496493884; 721816485; -1; -1; 673472090; 682677810; -1; 70794389; 34690917; 350272249; 956817982; -1; -1; 292136526; 404230236; 323244678; -1; 829137057; -1; -1; -1; 521347045; 216370216; -1; -1; 699512143; 536920559; -1; 82801492; -1; 897406411; 770035534; 270059951; -1; 851452774; 319129142; 165321181; 671313999; 67449045; -1; -1; 332307213; -1; 311884461; 187608429; -1; -1; 63973049; 770743347; -1; 260094408; 529707708; 746263637; 350747590; 790867001; -1; 912246102; 470099680; 882988247; 245205633; -1; -1; 47026491; 969401377; 537533543; 735566712; 945593200; 717968071; 277763970; 236178109; 970635105; -1; -1; -1; -1; 166014065; 628325606; -1; 375322760; 589755999; 582975288; 357170219; 937911272; 289435201; 202843325; 459899738; 292397034; -1; 72379365; 145382989; -1; -1; 198343759; 782450339; 53156478; -1; -1; -1; 125008289; -1; 538415838; 714982165; 742359479; 387733991; 808891251; 863120724; -1; -1; 530203049; 239049437; 735455508; -1; 904330440; -1; 535005176; 40125501; 279415550; 991581643; 139108137; 907029658; -1; 518276544; -1; 634904440; 432405820; 362803913; 220868654; 441314276; -1; 487251003; -1; 641440268; 601404788; 782411942; -1; -1; 824969628; -1; 194955424; 413598658; -1; 933976588; -1; 463505228; 48718501; 585530873; 261557694; 115644349; -1; 578383812; -1; 260276192; 596675022; 904177429; 636526335; 879417804; -1; 888809305; -1; 9092815; 519924741; 497351798; 37708044; 502631485; 292181855; -1; 190577219; 294269045; 415082843; 541049975; 570329663; -1; -1; -1; -1; 811104691; -1; 72759866; -1; -1; 724806855; 680443740; 398640697; 143607811; -1; 928846145; 106244848; 687682201; -1; 897000749; 409468621; 104591561; 585349718; 640085378; 277767045; 784691; 642071118; 73906527; 352430820; -1; 301051581; -1; 145710396; -1; 699612669; 631993611; 790953878; 750043422; -1; 832648421; 478051695; 652611892; 875240392; -1; 275165070; 884997090; 352587527; 52878791; 108380183; 662115281; -1; -1; 656208774; 743179216; 259722291; 385958738; 614773330; -1; 907728884; -1; -1; 374120869; -1; 582141271; 947613131; 678130305; -1; 75555127; -1; 40875271; 543451092; 570677957; 150848671; -1; 480978769; 493863302; 496535407; 94121354; 119529369; -1; 903620845; 454020445; 680786561; 85768472; -1; 19551530; 557801352; 936720377; 203625384; 398224922; 227054167; 801702650; -1; -1; 458506127; 852269424; -1; 750398679; 312689076; 186720505; -1; -1; 456641276; 95229780; 423272306; -1; 152626733; 905957556; 680824317; 179676859; -1; -1; 673811812; 388862301; -1; 824714420; 311517376; -1; -1; -1; 664736066; 151908465; -1; 536295909; 26756192; 575468739; 438407827; -1; 451069456; 895205559; 30358401; 893802976; -1; -1; 35156162; 310414933; 11917787; 898091270; 317324185; 630450106; 583362731; 752072293; 346117056; -1; 884318881; 133432953; -1; 943977846; 18965592; -1; 226069295; -1; 105020138; 873619912; 142720083; -1; -1; 887698827; 547155584; -1; 696740860; 413284278; 341504746; 715134865; -1; 619238710; 796144816; -1; 313071211; 487664560; 516492242; 160986545; 560724671; 433914921; -1; 124398661; 851139315; -1; -1; -1; 617143408; 206054749; 332629187; -1; 214449305; 261140694; 234529421; 903229658; 455332610; 415386527; 448061159; -1; 260383948; -1; -1; 999998803; -1; 208334448; 939448341; 958247236; -1; 715005727; 324102572; -1; 522706452; 171452063; 611222224; -1; 103716290; 21224875; 583620343; 596061140; 747447035; -1; -1; -1; 375411149; -1; 739836295; -1; 486601551; 981109894; 667330658; 582789188; 518779642; 256047311; -1; 804657904; 364066682; -1; 984385495; 942995845; -1; 453833247; 639837141; 468788884; -1; 433314855; 700770946; 249616249; 746553045; -1; 153680282; 591747305; 510060721; 31546395; 325169158; 533740957; 315457136; -1; 939166531; 876322829; 144508828; 52100451; -1; 460710722; -1; 888299583; 198161958; 940694020; -1; 81538297; 289374747; 635088786; -1; 931109078; 434026521; 894441028; 735504631; 555498723; 500155367; 491411807; 889566120; 658479531; -1; 374360554; 996808462; 234338265; 321732421; 914135097; -1; 782809738; 232316293; 438085391; -1; 88550439; 961567043; 408154489; 181158268; 68660953; 645326621; -1; 158909954; -1; 516395067; 750189005; 471174420; 989759762; 843158502; 446316910; 870229334; 889644852; -1; 640513737; 566755630; 745124736; 179493940; 216332315; -1; 561315263; -1; 812316817; 427565857; 27938312; 392792764; -1; -1; 695106512; 49272685; -1; 573137005; 65267938; 34588792; 200532573; 589377094; 1954861; 856831192; -1; -1; 421989220; -1; 701989982; 295879077; -1; 942961107; 22340827; -1; 809047838; 596591271; 156803039; 302843754; -1; -1; -1; -1; 465306588; 112930955; 453825745; -1; 618474134; -1; -1; 71556814; -1; -1; -1; -1; 989554691; -1; -1; 885423436; 412317013; 656332585; 132450420; 610042421; 67531329; 949990726; 413772033; 227251958; 32509038; -1; 389717746; -1; 808132557; 884958903; 149641240; 488834336; -1; 598319605; -1; 8305423; -1; 535858009; 204261330; 363173928; 619297517; 351240362; 67827968; 256623694; 633523466; 900933369; -1; 340493508; 418039490; -1; 788108161; 145433669; 991843340; -1; -1; -1; 552026434; 688469722; -1; 579606640; 343599327; 175596420; 565405335; -1; 694828079; 806179060; 917562670; 143562125; 894086398; 795861182; -1; 168880424; -1; 594142267; -1; -1; 969198853; 363208063; 897025527; 825106605; 741900551; 442962179; 363320178; 623508924; -1; -1; -1; 674029970; 138359167; 25315808; 102613049; -1; 778689217; 570506297; 886370084; 724952861; -1; -1; 689850015; 489215982; 463108632; 196971422; 902923745; 814897417; 365882139; 715427120; 7984225; 389049921; 908110720; 104408225; 628097975; 877336655; 383658763; -1; 547018439; -1; 824408564; 233017490; 233380069; 139210710; -1; -1; -1; 580775651; 808697013; -1; 44329015; 465777390; 147472272; 434068444; -1; -1; 954977793; 576142503; 715868714; -1; 306362646; 891327383; 297165190; -1; 175734806; -1; -1; -1; 641012319; 193983961; -1; 780124917; -1; -1; 340302603; -1; -1; 434004465; 867869300; -1; 824819376; -1; 944484194; 473548519; 78166953; 645025573; 640045795; 313269393; 924687846; 592814534; 696509485; 281722336; 499082283; 500200773; 769738869; 948815995; 204619817; 130352448; 447262690; 992233862; 544130395; 516513182; -1; 667361241; 193149230; 180828912; 151703401; 994308918; -1; -1; 834600916; 566467645; 650953436; -1; -1; 509809998; 736122772; 572215220; 735175647; 600062397; 883998517; 364556071; 108745764; -1; -1; -1; 595186103; 819286520; 385024819; 310426356; 890576297; 783794878; -1; 521055363; -1; 329016729; -1; 998144132; 692653451; -1; 422332824; 575854606; -1; -1; 762407707; 646814131; 482367865; 977489119; -1; 862803527; 345819781; 227988240; -1; 35179133; -1; 573778050; 110176792; 24318434; -1; -1; -1; -1; 166692130; 279359480; 77579582; 987539891; 973539580; 903408893; 611329577; 340990857; 174132728; 958691965; 266920365; 524231040; 377186773; 989565803; 845817683; -1; -1; 57458517; 134252428; 832080923; 162911062; 279781276; -1; 371332982; -1; 308809357; 605472028; 98405973; 697132784; 368259720; -1; 315231296; 646631584; 947723052; 58766000; -1; 83411926; 657695376; 929131572; 336020281; 66646512; 582350281; 81966774; 442967916; 899573990; 434071345; 146661932; 578102058; 789494882; 4185580; -1; 608855273; 96483940; 613898502; 344552721; 6250318; 448149890; 42277625; 685889897; 240376818; -1; 962988232; 748689959; 355617098; 623236173; 722166352; -1; -1; -1; -1; 648867430; 467052834; -1; 951608300; -1; -1; 960254999; 192522358; 269709179; 999260401; -1; -1; 661889128; 442698521; 612247143; 196508702; 760351659; 966370739; 900497794; -1; -1; 85004281; 967888903; -1; 679589831; 881934108; 5121963; -1; 370886946; 800983918; -1; 959831384; -1; 161139547; -1; 618306607; -1; 472004994; -1; 699500001; 100159409; 70852044; 649569252; 646294162; 497443966; -1; -1; 634363548; -1; -1; -1; -1; 720390523; 80115924; -1; 362162272; -1; 29518630; 846452150; 531042837; 12292683; 901149480; -1; -1; 592633041; -1; 584147763; 355926561; -1; -1; 682273965; -1; -1; -1; -1; -1; 324255059; 122597197; 523369880; 589873897; -1; 645358866; 584231428; 102010449; 279619184; -1; -1; -1; -1; 447166661; 629544634; 857304644; 159586594; -1; -1; 945858526; 901039368; 645815511; 589728599; 203812786; -1; 443112499; 763715980; 371022548; 736763827; 261917482; 824244078; 86587671; 874329560; 903801773; 1149524; 119975076; 68082059; 827833960; -1; 153198424; 734282068; -1; -1; 203421927; 241275459; 609720278; 284387128; 558429532; 420642065; -1; -1; 984330559; -1; -1; -1; 352401742; -1; 964048837; 539412002; 983262546; -1; -1; -1; -1; -1; 236867835; -1; 861599730; 154753648; 891030996; 269912092; -1; 71451469; 456730193; -1; -1; 292951990; -1; 661736330; -1; 801930441; 777527887; 934754591; -1; -1; 183816545; 814008680; 502083184; 552984323; 425997958; 249946709; 123688557; 861545111; 27009067; -1; 107257866; 379251561; -1; -1; 753740922; -1; 869216473; 825583035; 570813607; -1; 310678254; 498756414; 384628225; 648999394; 464466512; 230124444; -1; -1; -1; 985523587; 751855339; 963770639; 396343848; 484484137; -1; -1; 13217380; 184790714; 990010393; 301508878; 463156800; 637734932; 492971685; 568590368; 940793163; 142559222; 929411232; 427761480; 132124505; -1; 719759827; 948943737; 220291608; 786378949; 747254095; 582252927; 608784707; 440431987; 512748848; -1; 267254100; 478159549; 95720392; 80951253; 952620201; 726856173; -1; 707743612; 767310481; 95055675; 371886605; 999082499; -1; 571412617; 956575901; 376247272; 661834192; 683703082; 85693506; -1; -1; 78244540; 525885729; -1; 725894994; 115004808; 161043160; 29553102; 782422286; 882380519; 50743953; -1; -1; 51506841; 376371291; 806372210; 967849464; 757095068; 920670981; -1; 546480781; 411061318; 645877984; 476654021; 182634396; -1; 879456774; -1; -1; 459003851; -1; 96624422; 165161357; -1; -1; -1; -1; 329080994; 289398069; 885709459; 843514393; 295428745; -1; 401739884; 340520403; -1; 202210787; 802284923; 120775469; 902943416; 192047964; 195980486; 387632151; -1; 8710149; -1; -1; 134449356; 724706364; -1; 905810526; 937388274; -1; -1; 112906225; 368818427; -1; 955653438; 229704174; -1; -1; 482058833; -1; -1; 534722548; 818596010; -1; -1; 301415178; -1; -1; 966493728; 729102751; -1; 527073816; 984347242; 10531151; -1; -1; -1; 531221376; 797178181; 352501070; 517516160; -1; 659809929; 96859214; 136401122; 706526964; -1; 444478622; 549732328; 108504401; 295236647; 915961837; -1; 871466802; 134668587; 15283928; 813387321; 197311214; 153117242; -1; 739295014; -1; 1682920; 657445288; 815240935; -1; 535703960; -1; -1; -1; 781177387; 790339983; 908134008; 952675393; -1; 327089298; 928269387; 915173572; 63385042; -1; 4198330; 115211276; 38948165; -1; 618403449; 815731173; 843363344; 214585313; 272520526; 823955487; -1; 19639546; 339668375; 321157028; 487738516; 219043809; 720498697; 424632648; 485457648; 719612884; 336094167; 792894553; -1; 40335412; 968725723; -1; 471240920; 372933330; 35451779; -1; 964783346; -1; 382994922; -1; 594946020; -1; -1; 183269899; 410196367; -1; -1; -1; 456321185; -1; -1; 602972735; 157546548; 316062650; 178436548; 281368789; 386557710; 848273115; -1; 246000665; 677151037; 863727443; -1; 340812474; 715484999; 458643737; 871745377; 83358331; 183812108; 716106832; 196582228; 218769184; 221136262; 186139644; -1; -1; 325399462; 56648845; 239539370; 543765328; 839870819; -1; 326803559; -1; -1; -1; 129027818; 296914357; 838245131; -1; 494608557; 973384257; 268940705; 358222822; 977368978; 840454860; 864257745; 78755372; -1; -1; 480339174; 639604762; -1; 719552926; 774096523; -1; 184094831; 988452987; 682604699; 371980774; 452213653; -1; 824107900; -1; -1; 106139316; 901121953; 91246772; 365696829; -1; -1; 443003645; 257313948; 995259088; 891772137; 180829238; 602132946; 825332574; 951825571; -1; -1; 917620123; -1; -1; 821036443; 566694056; 907124727; 99625889; -1; 304683998; 385875352; 905697420; 662324851; -1; -1; -1; 132118579; -1; 639978474; 581438625; -1; 995349532; 45520925; -1; 303526164; 711646834; -1; 795610721; -1; 737000906; 58366643; -1; 622376085; 314383189; -1; 880645786; 966310246; 287241282; -1; -1; 996673417; -1; 639708350; 654009663; 202761377; 213557978; 132623362; 621871473; 667063822; 666995255; 538973910; 45208225; -1; 303756713; 93621837; 90455783; -1; 863074468; 256393253; 998695412; -1; -1; 473374845; 984812715; 943653436; -1; 505718099; 340632520; 868982462; -1; -1; 179223391; -1; -1; -1; -1; 801355579; -1; 924543171; -1; 664139777; 826955410; 662895312; 585203627; -1; 114633968; -1; 195558759; 613350063; 602880027; 275128672; 678272038; 475185880; 974384030; 383669020; 491558307; -1; 417628948; 340846114; 636337433; 180750840; 138711956; 178810211; 494794918; 545949926; 26135757; -1; 102834953; 157488995; 580330008; 63314872; -1; 627963448; -1; -1; -1; 758281830; -1; 704662793; 936744947; -1; 493093994; 581569127; -1; 207676423; 389489751; 483828963; -1; -1; -1; 600046402; 632135363; -1; 378778017; -1; 897253734; 32918750; 578526858; 355863858; 29702248; -1; 101462831; 678208921; 279093669; -1; 234429388; -1; -1; 724808999; -1; 318655679; 823227635; 621876609; 463914194; 963578090; -1; -1; 620444582; -1; -1; 938792540; -1; 982239208; -1; 574359018; 766222170; -1; 709686589; -1; -1; -1; 808229573; 641054796; 569218252; 850795215; 895776707; 373773550; -1; -1; -1; 600296794; 605590736; 936398773; 270470622; 868230251; 665951782; 786167159; 408570225; 636264697; -1; -1; 636236474; -1; -1; 105392771; 826514749; -1; -1; 334385086; -1; 3767964; -1; 680513354; 725271372; 192029844; 854710166; -1; 129337794; 780446939; 836165747; 409379125; 884085228; 314742431; -1; 956020467; -1; 122682894; 465406172; 809683168; 300218966; 962154719; 594809692; -1; 685035293; 668775701; 178710255; 737889826; 18628481; 229874387; 394239488; 815610951; -1; -1; 652914987; 844369931; 785823515; -1; 30503576; 906526865; 831068847; 771980021; 984445717; 843620313; 958997403; 458782593; 63262321; 88984114; 892446548; -1; 565136508; 510496957; 855739007; -1; 601792885; 533893397; 798133907; 424850054; 396694546; -1; 452193969; 89301486; 835544387; 462721543; -1; 275191002; 749344296; -1; -1; -1; 346259433; -1; 739654501; -1; 641222953; 375559887; -1; -1; 213643810; 593287448; 74292877; 913358302; -1; 778511071; 346479162; 935267955; 644974682; 455084260; 568967747; -1; 433908308; 991420337; 435645360; 189697656; 672245871; -1; 918738011; 756251193; 156857135; 778548223; 465756978; 238726821; -1; 590001602; 426460182; 902329588; -1; -1; 103175975; -1; 341640005; 170106674; 145977845; -1; 728197544; 584259929; 927934621; 613204210; 547139237; 300653040; 901703802; 748617958; 972504431; 900662366; 576889778; -1; 501318287; 721696182; 966353824; 152870812; 478712081; 238519728; -1; 233726387; 675602080; -1; 814607989; -1; 929634935; 766530778; 987693513; 986372883; 687186412; 362130704; -1; 399320056; 103414302; 341087617; 32797666; 883003178; 779514184; 311964832; 418141133; 722124096; 407302031; 369548828; 568508022; 499204362; -1; 15706772; 653092853; 792621923; 767130170; 443422434; 704569709; 648158944; 124685279; 709175399; 181764235; -1; 258916566; 774204037; -1; 225638295; -1; 759477377; 242945913; 612792631; 331168803; 371738859; 309412650; 195034152; -1; 374083722; 421019150; 790461451; 333520004; 230721030; 322265481; -1; 450936776; -1; -1; 291572340; -1; -1; 21413569; 534468644; -1; 555035231; 572009805; 262413326; -1; -1; 289872605; 205391504; 147941239; -1; 375802325; -1; 256719938; -1; 420956152; 754341934; 214889473; 264611014; -1; -1; 490701724; -1; 184918111; 318531509; 218167641; 416622246; 227533216; 70979957; 13376307; 149935689; 203229887; 381187934; -1; -1; 537411771; 142705354; 904603488; -1; 410760516; 228449160; 273898888; 726506629; 316137775; -1; 700930709; -1; 501000090; -1; -1; 203393378; 87044165; 685167759; 809574838; -1; 384830593; 997824125; -1; 27278414; 649745486; 971281717; 292588812; 594006757; -1; 145342237; 644801736; 676550790; 920952846; 890730383; 663574700; -1; 362540191; -1; -1; 198701994; 438672926; -1; -1; 903270316; 19865542; 226443266; -1; 447223373; 279932493; 125742830; 57798309; 179700784; 816546986; 68899157; -1; -1; 799967108; 597603056; 119132723; -1; -1; 376913041; 105813427; 467242718; 107811548; 46859049; 913167986; 924903276; 962301307; -1; -1; -1; 227494062; -1; 805542317; -1; 188358265; -1; 132184090; 788027219; -1; 45967711; 714422136; 538609826; 780827262; 850802454; 23362508; -1; 736581422; 985361894; -1; -1; -1; 871412559; 742591049; 162911938; 143679465; 855198062; 693162741; -1; 815525018; -1; -1; 692534142; -1; 305247643; 384065648; -1; 614159816; 773910802; 834024679; 501681733; 78329783; 172789877; 551440200; 930218212; -1; -1; -1; 1160957; 115573055; 132552945; 653129353; -1; 427360199; -1; -1; 798848720; 483271607; 792240040; 463268584; -1; 985814909; 197626009; 532353590; -1; 772441147; 932432089; -1; -1; 520613896; 718991801; -1; 879145848; 930824882; 381605566; 239513404; 618346990; -1; 328105606; 464907945; 397603313; -1; -1; 778856008; 519519744; -1; 222186565; 312991069; 772817748; 854935240; -1; 403831575; 889956116; 652663320; -1; 561276948; 395150632; 923906667; 745609020; 693696066; -1; -1; 958736213; 756300205; 549990493; -1; 895991642; 430952781; 691205784; -1; -1; 434129693; 940802717; 198191607; 627639815; -1; -1; 140027654; -1; 561560118; 41408107; 800100843; -1; 98905532; 224042982; -1; 722412273; 416352337; 59974097; 146366889; 84787373; 193389456; 232645866; 171755444; 509614028; -1; -1; -1; 35323881; 387326045; -1; 14479892; 862696305; 384336964; 548642357; 843122625; 904262826; 489028423; -1; 56835097; 862480353; 46564321; 760005370; 798444208; 809283345; 604021931; 892005474; 90538246; 905718677; 713795051; -1; -1; 734269721; 402057103; 402772972; 216510346; 960196661; 831582614; 870279138; -1; 775830848; 939801028; 845632283; 910055153; 703282755; 337706067; 771557607; -1; 885321182; -1; 180536627; 348154758; 236995563; -1; -1; 396712990; -1; -1; 304327768; 171801192; 607010138; 458274056; -1; 263841694; 970483972; -1; 837696258; 284978; -1; -1; -1; 400807257; 52627558; 5935296; -1; 355472595; 887607262; 63352391; 284862477; 726458499; 41259504; 358847518; 209740265; -1; 285161641; 426410458; 666156570; 126772513; 275532065; -1; 434666572; 58167072; -1; -1; -1; -1; 800925859; 393354010; -1; 717173433; -1; 114304089; 780279645; -1; 632511456; -1; -1; 471375543; 350765523; 598873382; -1; 470105319; -1; -1; 195495912; 782979020; -1; -1; 913871259; -1; 449239578; -1; 911937076; -1; -1; 554422963; 591049426; 350423771; 631473586; 913225190; -1; 723828227; 316304950; 172898551; 651531115; 167864576; 211465332; 579083922; 468878194; -1; -1; 487360664; 369058798; 110934556; 131669553; 276134744; -1; 130201804; 980715726; -1; 514575156; -1; -1; 611351997; 35110852; -1; -1; 452136198; 536663983; 617700173; 221573428; 50179303; 161950423; 474336240; 96428395; 934473402; -1; -1; 160072865; 216145497; 269794287; -1; -1; -1; 561018838; 669091760; 521566326; -1; -1; 427314016; 834090393; -1; 995393591; 626567006; 3549016; -1; 47934395; 597311334; 920906026; 941866242; 643447733; -1; 588082040; 801212410; -1; 532087009; 449379390; -1; 835164864; 614608727; -1; 624645018; 223923483; 913113376; -1; 833918111; 603938122; 482085410; 649195828; 850054210; -1; -1; 671940893; 462270144; 563269270; 734862154; 348475718; 910461830; 248529164; 999965867; 118888478; -1; 105150978; 877848214; -1; 686676093; 881210985; 108588003; 596376206; 686543878; -1; -1; 405982452; 616963380; 249045905; 934703487; 160995334; 844472326; -1; 524428114; -1; 986392428; -1; 9082363; -1; 654440893; -1; 486940303; 427003767; -1; 196125940; 694111286; 331268406; 452133758; 26678569; 846647976; -1; 825625963; 568256443; 958522913; -1; 39598607; 466793458; -1; 799032573; 426741690; 818329954; 592027526; -1; 381146736; 31237743; 70995925; 392306104; -1; -1; -1; 415672997; 11313029; 123530087; 131017573; 264435899; 557320917; 548358931; -1; 9664882; 587330678; 975509764; -1; -1; 825811268; -1; 973364046; 528915121; -1; -1; -1; -1; -1; 25319584; 152905556; 217083252; 384936064; 429574508; 538992317; 238711875; -1; 680020220; 398013302; 924672283; 632906802; 363137925; 48569381; 606668449; 906819735; 781169442; 331114357; 752690988; 963454250; -1; -1; 65852667; 425835203; 409480216; 568034425; 308462199; 818349175; 389827248; -1; 177500395; 135380234; -1; 633318815; 631857073; -1; 907178128; 949258333; 271719695; 306898373; -1; -1; 618879642; 35995188; 507671692; 73296377; -1; 990167761; 923495303; -1; 930836588; 777003754; 846157883; 946741288; 411988072; 570840998; -1; -1; -1; 398552387; 267497181; 546113296; 371045113; -1; 119468828; -1; 627434090; 271186969; 817931032; 185679157; -1; -1; -1; 681671886; -1; -1; -1; 431657326; -1; 609489623; 644787435; -1; 187667636; -1; 525251202; 849587180; 760532784; 285551547; 879020555; 158826354; -1; 132899676; -1; 99874392; -1; -1; 114417892; 329134516; 516040093; 540338947; 272802914; 74221452; 550329424; 693796617; -1; -1; 758629432; 559956384; 161979355; -1; -1; 49278567; 731502476; -1; 90756605; 889111978; 822609224; 822035766; 416746875; -1; 418236616; 210861832; 226785676; -1; -1; -1; 508771530; 306066529; 705664343; 830119590; -1; 533125759; 186668065; 85604198; 917391494; -1; 449045360; -1; 941769021; 535708533; 424738299; 457936896; 7359078; 74264414; -1; -1; 599368368; -1; 463716209; 891511400; 820512215; 118108408; 218528502; -1; 206706641; 390215513; -1; 856882621; 346334680; 24610636; 3206896; 218365404; 68080787; 366552567; -1; -1; 222007591; 414446545; -1; 252708346; -1; -1; 423090896; 39791746; -1; 743423639; 450045689; 917379740; -1; 339630998; 136938493; -1; -1; -1; 913142041; 789608332; 776434186; 683281176; 320381322; 254513003; -1; 398787271; 770679966; -1; 561886457; 693801694; 366970758; -1; 611286688; -1; -1; 348286152; 747873257; 453137409; 599980683; 359451158; 321105468; 642430893; -1; -1; -1; 560703495; -1; 929851594; 75096370; 894465141; -1; -1; -1; 471206280; 713714341; 391363815; 163017888; 599436268; -1; 618054620; 139673290; -1; -1; 53489882; 964519149; 193350169; -1; 33668313; 569995894; 945259017; 573692250; 981837967; 721549083; -1; 201308686; -1; 143374274; 551631336; -1; 459964160; 937510980; 163529090; 29442497; -1; -1; 600300036; -1; 783781580; 92102126; -1; 152268275; -1; 527574088; 906325190; -1; 703877318; -1; 164137427; -1; 186534671; 929307019; 220504221; 673294145; -1; 308923088; -1; -1; 527145480; -1; 772797017; 932943068; 322131183; 296372742; -1; 196309925; 81639166; 257492607; 202322278; 200094845; -1; 303575621; 803451195; 727997163; 497424635; -1; 565013044; 311008123; -1; -1; -1; 550315016; 803927205; 67277779; 256187328; -1; 342423832; 431495795; -1; 39025873; 208411747; -1; -1; -1; 234877481; 786369652; -1; 579392868; 117954746; 448480679; 232144025; 737133122; 408954948; 404225788; 971569053; 192398424; 515242052; 748351757; 290674370; 87897154; 53045621; 813674912; 626282840; 813855854; 868794916; 916130993; 748396484; 760198237; 104181796; 686893523; 389550264; 705588163; 473406383; 304460523; -1; 717931462; -1; 840741558; 982560516; 858264425; 726104645; -1; 965327627; -1; 84319748; 89732002; -1; -1; 896492183; 332482358; -1; 202496039; 327104141; 664486955; 127446489; -1; -1; 138726467; 549087060; 834760371; 711126847; 84472536; -1; 178180003; 549545319; 558675806; 785778323; 909812419; -1; 532749467; -1; 733550866; -1; 800105703; 154350141; -1; 602894219; -1; -1; 242686181; 255010598; -1; 136308373; -1; 518507592; 580341144; -1; -1; 316834091; 364298085; 965978291; -1; 553741469; 617157268; 177213900; 174109911; 248302313; 939923062; 52510698; 654730174; -1; -1; -1; 230440852; 301477810; 547766169; 164770788; 282646369; -1; 197843148; 915359258; 668630585; 31058626; 783251060; 153231615; 612350552; 737050082; 867123452; 989719612; 557275209; 946995767; 732531106; -1; 966207200; 199387513; 370750570; 852634202; 754113253; -1; 446292714; -1; 481668120; 675637435; 206091453; 382852198; -1; 553191960; 490223724; 21973314; -1; -1; -1; 794573915; 29254457; 610762808; 865599140; 367867443; 986317160; 582969264; 15617112; 277200165; 17003774; 266811968; 999995929; 565269138; 404723790; 88671099; 226068182; 153581391; 374451361; -1; 66136216; -1; -1; 204009601; 315796469; 788096346; 833506705; -1; -1; 221810251; 572636354; 600903524; 361722152; 493729433; 984372457; 82680257; -1; 577656212; 320612865; 505299823; 309729471; 250091081; -1; -1; 973781785; 927638802; -1; -1; 685694235; -1; -1; 337308487; 841147738; -1; 119271813; -1; 722728504; 281281844; 775742764; 285060959; 382065985; 909377941; -1; 534442397; -1; 564943271; -1; 697458207; 618394997; 140603630; 896855521; -1; 549889992; 476612989; 699065546; 484065307; 632934971; 92614338; -1; 347438275; 473112431; 302104397; 345705580; 998615449; 450658078; 586019054; 537620452; -1; 790786239; -1; 287908004; 183034481; 169667314; 929849895; -1; -1; 335123241; -1; -1; 449106287; 503269995; 789110446; 46294524; 349299893; -1; 223663045; -1; -1; 29533966; -1; -1; 668415342; -1; 923574909; -1; 374730605; -1; 321982222; 368709404; 945614082; 285596464; 371423262; 434592694; 632300676; -1; 678072809; 756474782; 859882430; 555191464; -1; -1; 610623331; -1; 511542593; 677009414; 560678612; 679494883; 383408614; -1; 628498590; 664304327; 905466027; 606366151; -1; -1; -1; -1; 847134029; 313169316; 921523596; 663627664; 170312473; -1; -1; -1; 81586749; 158614746; 653908344; 806605826; 401317195; -1; 35032165; 217305305; -1; 589717917; 778743227; 116701176; 104233782; 431749972; 961515196; 84570455; 850492995; -1; -1; -1; -1; -1; 876874540; 219635757; -1; 197980141; 386926862; -1; 841124039; 796335711; -1; -1; 924569114; 254685591; 442482782; 498805848; 213952118; 787553181; 965778620; 538178252; 402421781; 682827443; 275206439; -1; 427893415; 905687460; 766346970; 396765722; 44152054; -1; 330646003; 944994732; 98298436; 258946194; -1; -1; 259845240; 682951982; -1; 352215994; 771944233; 620912312; -1; 409220047; 297873154; 696061270; 849342016; 85348128; 863489081; 570483420; 530215196; 888796870; 498782839; 120739651; 189889905; 101711312; 208846075; 487599444; 311738943; -1; -1; 716222759; 280274022; -1; -1; 445629052; 406883252; -1; 719337841; 525869660; 475150760; 871958341; 890185989; 353324897; -1; 2804091; 224180071; 361601933; 493808777; 669634668; 769862253; 339189820; -1; 459859297; 692482000; -1; 252218010; 110776087; 912771549; 5506743; -1; -1; 251431666; 961817365; -1; -1; 248168671; 144574851; -1; 492323936; 84246247; 952812879; 960938140; 942727458; 110222507; -1; 470748659; -1; -1; 934046621; 49165376; 654419364; 70153298; 630898278; 706626503; 68971708; 190955143; -1; 452675326; 83689186; 138159356; 820490734; 279685408; 773126718; -1; 922745875; 360043098; -1; 22286671; 899823065; 174211657; 612111411; 512322430; 899296335; -1; 148342858; 990365690; -1; 269926294; 784910934; 53223891; 217089833; 892061217; 133164639; 657707709; -1; -1; -1; 229581006; -1; 122703614; 150841715; 411317910; 321263634; 295004799; -1; 156319868; -1; -1; 44688544; 482338911; 303559635; -1; 471432743; 823414353; -1; -1; 866754501; -1; 839824749; -1; 748346307; 603345372; 706133066; 675075252; -1; 91242508; -1; 144849491; 562770890; 426757015; 911625189; 953671506; 514695638; 425245614; 234640594; -1; 883890931; 181600943; -1; -1; -1; 804873128; 868371126; 240388020; -1; 434026641; 791989850; 943128680; 104042269; 197049197; 516049975; -1; -1; 726254280; 147078858; 981130579; -1; 642130999; -1; 143844566; 222883373; 189221007; -1; 154379952; 293707602; 578612841; 351104714; -1; 252991242; -1; 388522575; -1; 431960841; -1; 647375583; 506282973; -1; 859760241; 490465072; 398659448; 445782079; 246209667; 53000224; 224273130; 133990278; -1; 300664048; 467431759; 357439454; 916794619; -1; 842216358; 208807063; 205293993; 66283045; 97370150; 677711355; -1; 949966648; 532515094; 280863549; 164095703; 82710807; -1; 743047557; 7241089; 949834175; 927043071; 72431008; 158173500; 846462910; -1; -1; 122220906; 785565410; -1; 380364447; -1; 288243286; 698864632; -1; 603361583; 171490920; 360534575; 53957580; -1; -1; 411400482; -1; 703222425; 276622556; 544964478; -1; -1; 731227965; 767028031; 345180971; 142215406; 208332102; 295046349; 75739075; 774329738; 842072880; 133281730; 199938193; -1; 254249040; -1; 756430840; -1; 216580590; 808376542; 782288982; -1; -1; 26804709; -1; 725081673; 996486348; -1; 889172990; 470194286; 695320336; 853359301; -1; 949886093; 916745753; -1; -1; 434752518; 98501816; 4716168; 332054092; 523164551; -1; 938565841; -1; -1; 524664200; -1; -1; 825386672; -1; 732854465; -1; 259047425; 273024844; 542376447; 800692890; 625276281; 437674179; -1; 127470196; 579800145; 207131736; 874201148; 413854485; 693719949; 695312394; 257558859; 217880426; -1; -1; 438845150; 84143484; 305358438; 647865670; 379427329; 785281881; -1; 824808971; 552792461; -1; 948258109; -1; 112664856; -1; 324498946; 931486861; -1; 296715842; 380246764; 567366451; 62494098; 709620084; 115445365; 351149462; 667172847; 182361471; 466661116; 357552527; 687224956; 251977523; -1; 547034672; 687149858; 322979048; 149175116; -1; -1; 514141368; 702464431; 872158329; -1; -1; -1; 227599983; 537860296; -1; 954497189; -1; 863660264; 546799084; 414054742; 350226955; 563069489; 151477467; 39979398; -1; -1; 505183779; 700120222; 109570005; 544460463; -1; -1; -1; 156809937; 649943997; 765620164; 164172171; 700417288; 195627896; 641509578; 366147491; -1; -1; -1; 655719326; 880298455; 850989833; -1; 950828189; 403254005; -1; 623561649; 91519307; 413784426; 92396274; 258317703; 467021133; 615307266; 231345812; 516800711; 405570361; -1; -1; -1; 114498852; 886554404; 640705511; 805542975; 574576251; 316421085; -1; 799663583; 897072942; -1; -1; 380209872; -1; -1; 126001988; 568721108; 79391161; 53462296; -1; 956300847; -1; -1; 132498926; 647304636; 303688509; -1; 347643786; -1; 273257903; 632521219; 251134738; 126464209; -1; 205283681; -1; -1; 545388792; -1; -1; -1; 258625913; 867369534; 395689825; 463702464; -1; 235563987; 298312054; -1; 627549227; -1; -1; -1; 980400341; 763014539; -1; 159060419; 482366140; 413503013; -1; 505344371; 734737656; 145593677; -1; 194961782; 516543607; 227267892; -1; 537063108; -1; 886071925; 829052623; 330105821; -1; 315725404; -1; 395780716; 787440103; -1; 300223755; 98574585; 899706455; 496650590; 78706074; 952535115; -1; -1; 911137800; -1; 485294427; 145804337; 281114661; -1; -1; 111834517; 606995738; 88632243; 953165976; -1; -1; -1; 356509664; -1; 900792905; 458639409; 281117991; 24709769; -1; 376010125; 468755246; 817588614; 420830019; -1; 406489563; 184135605; -1; -1; 120846254; 883827621; -1; 241131056; 268156552; -1; 192117197; 168090323; 212629068; 243783216; 281546610; 868718474; 186321236; -1; -1; 368485229; -1; 214594664; 578838326; 865799108; 334495676; -1; 846653766; -1; -1; -1; 599841172; -1; 143711879; 261611283; 235202897; -1; 897098672; 309942092; 729668157; -1; 946217008; 986679815; -1; 326613026; 469949069; 63711543; 629294977; -1; -1; 690589960; -1; 727850237; 288397507; 432467277; 473515887; 419969737; 614650819; 89254115; -1; -1; 607363317; 112055593; 922566502; -1; 323929521; 276473190; 756895800; 362362529; 702129617; 103085552; 27616232; 831745957; 183803; 751196631; 16037237; 660148551; 74152482; 209615219; 255589766; 491718720; -1; -1; 147911848; 906251537; 621178518; 401525892; 243429564; 534077139; -1; 246228960; -1; 390716571; 420039660; 953718600; -1; 36876439; 342903851; 847299076; -1; 394549952; 7521032; 178642633; -1; 237408469; 833841924; 384028171; 539096562; 243464289; 365878346; 391273119; 501510036; 389583795; -1; 623543370; 761477891; 276217000; 670532715; -1; 609982922; -1; 594124597; 541022726; -1; -1; -1; 504975796; 953391752; -1; 668944811; 696440818; -1; 439461931; 305118023; 101429992; -1; 647856502; 113964229; 785714640; 949362537; 767643536; 194216324; 643678375; -1; 363658989; 349762856; -1; -1; 928509843; 348230939; 937636473; 272844024; 8081149; -1; 919686598; 37136394; 255082829; 678512061; 330568111; 102321444; 463821451; 129726805; 432246056; 340505822; -1; 568806779; 170841313; 927638167; 126589447; 350437568; 64266074; 353866952; -1; -1; 547670552; 643833385; 47661235; 224431835; 68708659; 73406177; 393109392; -1; -1; 272013948; 441365175; 88200491; 268440701; 243748057; -1; 154574469; 799714827; 159287673; 78367922; 861689248; 721270668; 710342344; 898597402; 332027001; 228398351; 847947593; 713711370; 385796410; 687565550; 903471196; 70068089; -1; 750043581; -1; 175208685; 704058818; 700771828; 895306075; 543771998; 244937965; 383757129; -1; 215827749; 74703756; 732515299; 435824300; 341172775; 687083914; 861996993; 680152272; 552029548; 478461005; 164128977; 850047452; 480979781; 295931819; 120358341; 245245752; 134016531; 776434979; -1; 131263997; -1; -1; 598760688; -1; 380385784; -1; -1; -1; 173378538; 448832938; 942522847; 523693183; 890976267; 144392552; 400131903; 470771004; 551484549; 32006402; -1; 774932829; 73173971; -1; 348404916; 986054678; 808804060; 432799275; 153055663; 664592051; 478977188; 231929570; 950116608; -1; -1; 669557157; 353404937; 22789900; -1; 241509634; 214221892; 828581639; -1; 135884940; 425686438; 337828074; 988785369; 250393345; -1; 631758165; 318647017; -1; -1; 416610846; -1; 949269743; 223602274; -1; 474316704; 113623566; 261679507; 29832056; 590983849; 181647980; 323296393; -1; 473581347; 959076870; 973671007; 515551481; -1; 640170291; 284270516; 447556856; 556912172; 407593821; 589484518; 430475467; 55473321; -1; -1; 30161915; 333166004; 227383243; -1; 130375253; 625003774; 275682668; 963846339; 842167772; 902491608; 867567449; 295054945; 186547900; 731348815; 950627087; 218865895; -1; 957278511; 369684455; -1; -1; 955494639; 945740017; 877216555; -1; -1; 830697595; -1; -1; -1; 861233814; 879160331; 257559332; 914247289; 832488329; -1; 668981303; -1; 997044565; 71431440; 1504874; 23229442; 227496786; 709616619; 521590585; -1; 983272101; -1; 652457045; 932746238; 176317056; -1; 168334474; 484768665; -1; 130813265; 406153724; 313149589; 21469111; 954927461; -1; -1; 816828502; -1; 123578782; -1; 860064234; 772456002; 859030979; 166723920; -1; 945787517; 298819379; -1; 192924544; -1; -1; 542980403; 400474719; 29505449; 847564331; 271379284; 906974599; 61935095; 934543259; 294086973; 562321494; 468656179; 594805003; 800090618; -1; 32329013; -1; 503437735; 895104567; 805407478; 706908176; 503343330; 798037041; 548784525; 577919812; 811361372; 811372159; 358638011; 631247017; 587987752; 886219709; 244271769; 197504167; -1; 367468004; 696261232; 590097858; 336483078; 376242150; 674705895; 853840216; 592987323; 247136186; -1; 598352116; 860661932; -1; 394337665; -1; 116464040; 323204924; 207883177; 500521751; 945168274; -1; 571148184; 495560664; 249808262; 469931288; 424557254; -1; 21629374; -1; 256335180; 643307888; 275514031; 404104328; -1; 304001033; 569520144; 509675263; -1; -1; 111931030; 964169325; 887805846; 288981493; 135762209; -1; -1; 654535586; 561778089; 427752189; -1; 368097788; 307866535; 456043547; 252080928; -1; 818624106; 852626775; 525560951; 332962620; -1; 738942286; 104816409; -1; 956786380; 810272764; 206801673; 915446561; 494755809; 616582585; 549507883; 332781980; 892878858; -1; 925975700; 859588638; 607103735; 708107015; -1; -1; -1; -1; 44841884; 853435537; -1; -1; -1; 662524845; -1; -1; 825573696; 362354829; 730727704; 219984101; 345574419; 172473521; 517785517; 495966305; 186621011; 595005475; 250442397; 619743261; -1; 128802264; 969688512; 242468965; 274532547; 765423114; 418209185; 181539970; -1; -1; 847973499; 542376784; 773932063; -1; 142683799; 728219546; -1; -1; 183804207; 966480535; 765782982; 599435030; 65506267; 507779432; 874655171; -1; 178163762; 803696504; 199456443; 118766151; -1; 433973070; 374268363; -1; 379239392; -1; 357630809; 181840492; 781662263; 229984327; 283704808; 716470424; -1; -1; 270127116; 172409187; 773551733; 59187738; -1; 59378729; -1; -1; -1; 927212620; 416863798; 963042125; 771109999; 923530017; -1; -1; 879968318; 314877994; 155082165; -1; 14428429; 103453481; 684947914; 823862043; 467191250; 183332216; 748396639; -1; 455565785; 627004616; 841405407; 478147700; 490974345; -1; -1; 791266239; -1; 862089682; -1; 411582130; 798578171; 546135308; 210677072; 65698431; 866352100; 779501935; 595660630; 930118472; 887829160; -1; 469099908; 29563120; -1; 885592131; 992079198; 563240024; 329823571; 388005970; 745144715; 135828853; 145026702; -1; 913763537; 680150314; 407795684; 66523590; 557987787; 72796717; 636423420; 466009060; -1; 315559170; -1; 54844174; 374831120; 160615378; -1; 191262601; 257171411; 853796411; 462547976; 937450032; 6017076; -1; 263815604; 313690321; 714735712; -1; 316324746; -1; 471575476; 504270206; 443606801; 66908796; 621656326; 687985015; 887051843; 49864859; 89859930; 391165968; 670005665; 177411488; 25049680; 37009640; 448360270; 684189767; 554186425; 256260865; 469040865; 960679853; 455268915; -1; -1; 146026411; 273612655; 99785167; -1; -1; 685261157; 672291673; 814702287; 833145301; 480647507; 455405252; 693910516; 637874171; 554653792; 992691769; 3650397; 17530641; -1; 510363459; 986372990; 208118255; 21340035; 693489018; -1; 735115182; 169365011; -1; 846854699; -1; 767577473; 944962580; 305273715; -1; 716127754; 827932276; 96233236; -1; 16942806; -1; 220299801; 91951846; -1; -1; 762071919; 552827074; 425150830; 171829125; -1; 831872189; -1; 287380153; -1; 483347913; -1; -1; 348421655; 112876093; 722403023; 438163590; 139883318; -1; 638123750; -1; 691198710; 719212248; -1; -1; 144811370; 126731312; 127963833; 743366772; 674169218; -1; 189351805; -1; 791476478; 281037151; -1; -1; 363752317; 744415248; 978760360; 626347066; 511357946; -1; 226702573; 288155757; 727776021; 781779710; -1; 653773898; -1; 887184470; 645687684; 937317870; 876021474; 408264087; -1; 296881037; -1; -1; 905651051; 409739949; -1; 451281870; 331289872; -1; 975786659; -1; 874592042; 357800791; 541798143; 319245646; -1; 266484271; 914112037; 337648167; 187769381; -1; 238441639; 348276113; 903211948; 912872151; 361850471; 593885741; 891559217; 122779111; 279039273; -1; 678575737; -1; 962338289; 540590146; 495233644; 866765437; 862304988; 442040938; 568061105; 633782124; -1; -1; 409368142; 476225698; 993341134; -1; 159026523; 673558; 320317321; -1; -1; 242385485; 748433108; 47673370; 952643352; 305656540; 241279248; 686679438; 701811565; 368929225; 57289646; 647119344; 700419079; -1; 434531629; 597208613; 138863294; 945408659; -1; 78175167; 131846661; 885058587; -1; -1; 331424435; -1; 77593330; 637318463; 479498467; -1; 29225165; 234120428; -1; 470752241; 776207354; 13767193; 194842257; 136923033; 832974129; 32861995; -1; -1; -1; 51222606; 100566068; 56976821; 901992255; 95245809; 590815241; 301036386; 628329757; 414735959; 265054437; 202751733; 900411078; 621283093; 687094814; 8633776; -1; 739740537; 856942666; -1; 972555847; 719628203; 112060252; 501942376; 547050069; 689632092; -1; 507864684; 928146318; -1; -1; 849920733; 941062725; 512874838; 142316289; 936580217; 817083751; 67553910; -1; -1; 879785502; 632179364; 669687193; 97607371; -1; 397148513; 136333606; 807346381; 87643839; 265942867; 558350556; 218671109; 382532690; -1; 185156207; -1; 533178979; 389978972; 348619630; 947462981; -1; -1; 300390058; 417370709; 380571023; -1; 28240634; -1; -1; 776759590; -1; 284075775; 238308806; 167985127; -1; 68392284; -1; 628119898; 519713041; 671220621; 314334272; 410392608; 820224918; -1; 386746458; 343042708; 67067350; 996381138; 146391459; -1; 395468399; 638622765; 679759814; 577843790; 911007535; 661008162; -1; 909385094; 873568055; 68723598; 696697645; 669674225; 872460110; -1; 885406451; -1; 884909031; 16789913; 725629372; 754343315; -1; 673587858; 846226445; -1; 614707723; 786939074; -1; -1; -1; 287898261; 789643339; 848053; 922933054; 169540686; 981678741; 163025554; 325902458; 374955841; 886868418; -1; 406197785; -1; 43095756; 415994913; 609004944; 252498880; 280983047; 889860262; 257212343; 16789061; 193516888; -1; -1; 775134919; 44805996; 863830911; 817764254; 866571793; 116162288; 666240515; -1; 958255225; 236287890; 69900519; 136816973; 163913910; 199668950; 288341686; 817153193; 598716259; -1; 365255236; -1; 628997493; 688587155; 603867286; -1; -1; 216012170; 263863294; -1; 444381196; 150216460; 222092725; 433335860; -1; 376295170; -1; 680150915; 250696552; 94060274; -1; 55627945; 217444499; 85516424; -1; -1; 348115230; 39722932; -1; 646548696; -1; 598345538; 921235065; 513230518; 599056264; 378225157; -1; 9591438; -1; -1; 43679476; 224817457; -1; 278590515; 962581438; 152544840; 198483870; 636725702; 840683039; -1; 165711208; -1; 852694054; 747925495; -1; 534763341; -1; 917150489; 612826768; -1; 374879393; -1; 754167270; 287755704; -1; 487084472; 509210957; 463415118; -1; 271260206; 403491386; 417466466; 885467497; 13405391; -1; -1; -1; 534297968; -1; 187822340; 731889260; 517178943; -1; -1; 370453994; -1; 785643547; -1; 465719393; 544498623; 46175236; 223988287; 824545698; -1; -1; -1; -1; -1; 143072019; 27341911; 158440702; 198079438; 788687615; 199089556; -1; 992774370; -1; 191978196; 538047879; -1; 844993335; 840897848; 259952216; -1; 392550230; 411272154; -1; -1; 922308481; 248426324; -1; 416932248; 449956989; 616619484; -1; 742715878; -1; -1; 304847069; -1; 774807814; 107257831; 443375161; 310993363; 128316642; -1; 190367390; -1; -1; 609244742; 671124054; 960224125; 971953170; 801623981; 506499375; 138965657; 732482712; -1; 31125284; 124575134; 718883232; 39586005; -1; -1; 55341292; 782128986; 871721041; 428194175; 47682557; -1; -1; 747930743; -1; 751776221; -1; 74363228; 472876088; -1; 634122681; 434801210; 947856198; -1; 462829641; 161575682; 734435305; -1; -1; 7579916; 284243037; -1; 858996953; 368374929; 780365490; -1; 859911049; 27759721; -1; 234011149; 588632814; 988684706; 364798062; 42792758; 640003328; 844219685; 269542889; 288728620; -1; 290347837; 882346380; 240414410; 67595494; 275032053; 88893408; 515310441; 383458184; 522807185; 74904519; 611015041; -1; -1; 38268717; 367435034; -1; 571370161; 983274359; 753656474; 856786033; 998194613; -1; 56229124; 57456992; -1; 161211709; 722915860; 497781362; 772510371; 255981628; 546500065; -1; 105152146; 350109164; 314913547; 157427927; 854142894; 189852934; 105887589; 166706676; 648964113; 717332514; -1; -1; -1; -1; 937036383; 430237242; -1; -1; 912167160; -1; 783549478; 396731436; 100080742; 34176564; 135062816; -1; -1; 184208931; 13964076; 282020576; 754487531; 717755723; -1; 702808542; 175917882; 85720158; 885733629; -1; 995914158; -1; 822752298; 231788755; -1; 217035445; 931163260; 563265375; 1889716; 408160934; 767015036; 878004801; 821631819; 380663808; -1; -1; -1; -1; 130490119; 168281160; -1; 102373487; -1; 131944757; -1; 17855817; 724260947; -1; -1; 416293461; 776856357; 446023001; 867713079; 689165636; 90556060; 729957247; 456522287; 723577284; 311456635; 219027762; 794150836; -1; -1; -1; 621636607; -1; -1; 852976940; 51469527; -1; -1; 387844816; 186188675; -1; -1; -1; -1; -1; 638551861; 640516294; 803664353; -1; 442092717; -1; -1; -1; 178636388; 760960472; 541058793; 474510177; -1; 377424564; -1; 889445779; 463401397; -1; 781861616; -1; 416964376; 58546477; 733352031; -1; -1; -1; 381237281; -1; 392157136; 351644414; -1; 949439956; 903653952; -1; -1; 487765460; 274130338; 207349018; -1; 984432752; 664500537; 487691043; 213326262; -1; -1; -1; 177509617; -1; -1; 321107630; 440687904; 326023580; -1; -1; -1; -1; 119630641; 696176015; 371366069; 153675653; 327435488; 20253492; 681419664; -1; 154726326; -1; -1; 290816762; 612336989; 669189975; -1; 724449157; -1; 775743289; 402974273; 277131944; 162789300; 474174464; -1; 762928556; 947983282; 520491841; 440704891; 373657874; 258429883; -1; -1; 394096785; 383989313; 602255519; 194156667; -1; -1; 65915568; 698859788; 562192702; -1; 661129127; -1; -1; 491432216; -1; 569747724; -1; 179966258; 268851004; -1; 16049577; 129716987; 610962057; -1; 290042535; 191495429; 412293856; -1; 102815672; 917933343; 950002742; -1; 146815705; 670508408; -1; 796596186; -1; 12844097; -1; -1; -1; 724528152; -1; 748261040; -1; 752070668; 171039651; 164161134; 769506588; 927858314; -1; -1; 997168113; -1; 772581484; 986506135; 957083073; -1; -1; -1; -1; 927159712; 460197479; 566410683; 219376265; 566966368; 691857816; 822014781; 494716461; -1; 809495763; 928683397; 147732481; 896835032; 746873324; 938704241; 216748421; 488207737; 80750577; 803099608; 695288615; 815674478; 789078165; 844937770; -1; 48150735; 898232153; 333267524; -1; 625095404; 190884361; 304944042; 875403240; 273701064; 403530415; -1; 705523324; 731381794; -1; 303551615; 407356085; 944910928; 469789239; -1; 194958785; 234123166; -1; 200151822; 10673599; 996244576; 709914132; 270141254; 744477234; 494336644; -1; 44774326; -1; 780067293; 216905889; -1; -1; 15149657; 622790163; 33119513; 6138455; -1; 587470642; 527233776; 876896892; 460435192; -1; 511625761; 808871940; 417020053; -1; 141585912; 391827844; 766771059; 254173127; 565795355; -1; 901105072; 105734286; 818349777; -1; 290087580; 650766654; 717916293; 356399714; -1; 11382820; 894206233; 150960328; 794823414; -1; 944604965; -1; -1; -1; 669979450; -1; -1; 951434564; -1; -1; 262440611; 367275887; 803885891; 651935020; 160653951; -1; 789612420; 890307575; 523557217; -1; 600651085; -1; 411634778; -1; 647507217; 884930917; 682796905; 444726197; 157653133; 156725318; 837573346; 870685994; 450604363; 532004088; 529022463; 242435268; 740043639; 515022823; -1; 955860749; 70935737; 539331852; 155729861; 349698231; 733874319; -1; 954347965; -1; 183125372; 846140739; 267872445; -1; 107226081; -1; -1; 646092630; 735845040; -1; -1; 731100464; 951712244; 148416321; 227866761; 444460069; 256993530; 539320159; 903113869; 277008189; -1; 33176755; 134503751; 941285504; 261550542; 562355753; 164975842; 579874149; 813839649; 230101051; 84374289; 250859474; 355784412; -1; 508562746; 203019696; -1; -1; 899710536; 565087930; -1; -1; 618622139; -1; 55262421; 956768083; 328966820; 815403767; 56303094; 154607346; 336015551; -1; 336303333; 50606220; 853239890; 425240854; 27633323; -1; 984097443; -1; 786961299; -1; 395810208; 511151257; -1; -1; -1; 842862815; -1; -1; 396203715; -1; 382093886; -1; -1; 405349959; 427627086; 140533039; 93515971; 868605572; -1; 500336822; -1; 33725647; -1; 975339368; -1; 127040595; 54655975; 906680246; -1; -1; 142088261; 304706139; 637444872; -1; 426519642; 550982189; 87567495; -1; 873264064; 108309587; -1; 385677389; -1; -1; -1; 728665934; 522009562; 41215665; 590085048; -1; 83472664; 132237751; 888212085; -1; 883333010; 818425703; 958618378; 247672232; -1; -1; 748497266; 451497961; -1; 538200226; -1; 58728412; 867830924; 906736380; -1; 64439459; -1; 180414067; 707324003; 291391162; 67962540; -1; 505091987; 725309760; 755226180; 597824317; 109621541; 111282971; 932302315; 596030428; -1; -1; 640487767; 251011047; 273899921; -1; 376255924; 42356693; 687823492; 935170628; 800882976; -1; 25975320; 726774405; 157857861; 646198297; 919211208; 412516085; 487154706; -1; -1; 736721421; -1; -1; 42938628; 337425869; 888842992; 163600190; -1; 773677225; 193515843; 336738930; 445710050; 865317510; -1; 632709204; -1; 19701216; -1; 267735831; 744118318; -1; 393730484; 382000982; 573856278; 396442029; 893553821; 865274792; 76486207; 802148868; 999755914; 519289; -1; 838853677; 266822703; 751230125; -1; -1; 933089043; 188508718; 773645666; -1; 566353096; 464992381; 953528829; 932058230; 315045302; -1; 395361179; 521995363; -1; 479413901; 285100607; 199244402; 446866138; 480928523; 848843874; 791619424; 692524879; -1; 214267897; -1; -1; 281269338; 416874548; 71493097; 437970838; 470924696; 352640942; 934379345; 226465974; -1; 420286966; 112361305; 475885160; 174372979; 25065776; 919226997; 348494734; 408222359; 778491917; -1; 934649115; 965756395; 60759883; 172179458; 786154855; 229337395; 190099152; 390731054; 833579429; 995952058; -1; 4392845; 966900940; 388095372; 542513805; -1; 762859165; 428780189; 976800094; -1; 363745764; 477985487; -1; 755873442; -1; 180534544; 959502985; -1; 636730420; 399833198; 392894035; 631279135; 210155774; 718832307; 570397637; 317724563; 893849842; 816766615; -1; 581907193; 981259487; 481382516; -1; 947011007; 655585226; 223093291; 517926847; 766572452; 725324231; 480156832; 289163901; 150608898; -1; 863651279; 249931629; 706288618; 292917181; -1; 419615414; 581894534; 464067413; 388759614; -1; 174339803; 385761479; -1; -1; -1; -1; 898335874; -1; -1; 414315136; 380172777; 913824407; 590612072; -1; 544811847; 780100449; 482756175; -1; -1; -1; 867906075; -1; 721391883; 881518575; 440452692; 509107625; 368782049; 730209183; 607128330; 351800900; 172039643; 579657703; 802022547; 283972282; -1; -1; 664021886; 81209513; -1; 175666243; -1; -1; -1; 927909154; 602470698; 332463297; 876491441; 272293813; -1; 600675363; 414060769; 323904651; 26255485; 163486156; 424369678; 396101321; 835057246; -1; 817405192; 266605079; -1; 204691401; 446667345; 273252184; 867018789; 230020009; 785717611; 353362986; 164333163; 72978074; -1; -1; 682793106; -1; 990278410; 907164997; 49184535; 699061450; 63179838; -1; 852524779; 873871512; 117928172; -1; -1; 722064691; -1; 626378275; 604874172; 281921601; 463834469; 513169421; 839017959; 247490975; 846313253; 919379718; -1; 464486866; -1; 847099029; 937322903; 115388290; 819411236; 31239750; 2489706; -1; 932879154; 147183522; 332052634; 100793456; 94013130; -1; 720043002; 544205778; 495269127; 856608543; 8344056; 371105920; -1; 22087056; 661879256; -1; 176957818; 701105117; -1; -1; 473683014; 58177460; 416031065; -1; 702202479; 807365186; 218177087; 590244125; 186715318; -1; 903175952; 465806433; 567175302; 24826583; -1; 802987105; -1; 869846385; 397151190; 30225452; 318797468; -1; -1; 943237458; 344026153; -1; 327301708; 862234247; -1; 174568451; 121673099; 577699141; -1; 136145609; -1; 734456022; 199905929; 422432024; 271680722; 161935423; 6400494; 447535691; -1; 35341105; 589929938; -1; -1; 70114816; 385042582; 972555584; 391756575; -1; 732734384; 702668677; -1; 130480552; -1; 365166760; -1; 593318068; -1; 749366731; -1; 741555450; -1; 838317309; 54731700; -1; 666631791; 310127132; 345806987; 292224819; 229520927; 798258209; 183968118; 62768815; 519244786; 21943668; 525186516; -1; 149443513; 558630765; 537032510; 239715385; 513867086; 733791666; 900223923; -1; 204663517; -1; 142021926; 483315785; 662131082; 44572154; 165783282; -1; -1; -1; -1; 526631155; 802592772; 368245125; 537766311; 102274278; 824583014; -1; 863829868; 786835772; 113662136; 331536612; 694757996; 512580561; 938049755; 255327007; 748081398; 907781022; 225077599; -1; -1; 815636810; 727611355; 819452832; -1; -1; -1; 2358805; 474022647; 87012064; 236253767; 726090922; -1; 331139149; 195926537; 637388531; 817774260; -1; -1; 772181672; -1; -1; 437119549; 458670516; 331386927; 300830766; 594309940; 128546988; 853420903; -1; 523831917; -1; -1; 939463797; 894455512; -1; -1; 278986060; -1; 544845060; 380048488; 791050638; 385629758; 169577945; 489406435; -1; -1; 943689966; 795329640; 972222085; 431944743; -1; 334423735; 601504414; 629825253; -1; -1; 164111219; 648740408; 574992334; 318525925; 359857062; -1; 581686937; -1; 677260127; 15226151; -1; -1; 130604275; 366437590; 849880950; 145525512; 590221743; 577937595; -1; 713899738; 937022920; 537482753; -1; 703314382; 717627015; 580258954; -1; 502009051; -1; 618465527; 880520201; 244697171; 371098975; -1; 338209035; 807501335; 122657766; 444312743; 448398711; -1; -1; -1; 925612408; 765601532; 851276294; 23389959; -1; -1; -1; 869327273; 633054806; -1; 131369757; -1; -1; 543526238; 743250023; -1; -1; -1; -1; 494983103; 298252493; -1; 623662189; 391477882; 769616209; 395845825; 932371877; -1; -1; 724784442; 530213278; 192758094; 786101919; 40279106; 16763764; 690058997; 656558566; 297471644; 965453244; 413974349; -1; -1; 667784804; 868438975; 386821574; 547182278; 128898071; 939390155; 179384072; 848372363; 973524380; 362631974; 139853305; 531394657; -1; -1; 194639704; 796756860; -1; 338914451; 38537701; 503759184; 134968206; 193800925; -1; -1; 541115377; -1; 261999960; -1; 788064218; 118195360; 593400587; 21142797; 344436004; 269323401; 915738658; -1; 963868904; 540498873; -1; 221991790; -1; 829261353; -1; -1; -1; -1; 937720064; 387539118; 445661573; 203919449; 21289882; -1; -1; 794881844; -1; 35302795; 335335544; 10766173; 254300642; -1; -1; 383819360; -1; 730419928; 808650284; 651460528; 17323314; 964568067; 676361505; 985178160; 166140176; 364567879; 728021466; 404902837; -1; -1; 843960879; 14724299; 185696354; 819463868; -1; -1; 639262111; 75846176; 115082903; 886905489; -1; 564684765; 90482029; -1; 282264314; -1; 258812593; -1; 520859393; 366429542; -1; -1; -1; 735838058; 100871250; -1; 597496059; -1; 258804218; 688396306; 572414287; 48382151; -1; -1; -1; -1; 330491205; -1; 542300278; 966117020; -1; -1; 61186715; -1; 141191235; 780583946; 641875830; -1; 791018611; 197041602; -1; 228059885; 740231053; 18915776; -1; 123289307; 282832794; -1; -1; 615282343; -1; 207705886; -1; 400669726; -1; -1; -1; -1; -1; 984880033; -1; 491548854; 41199892; 231517378; 858368976; 641294510; 328990689; 964183101; 613403673; 494298467; -1; -1; 578908282; 504927836; 857962973; -1; 230820842; 950411001; -1; -1; 244941847; -1; 118117737; -1; -1; 765752878; -1; -1; -1; 218067596; 322290425; -1; 622508589; 760835998; 758607960; 137738647; 633437622; 735367328; -1; -1; 994844654; 588095542; 847164111; -1; 585979263; 225111005; 753738955; -1; 420719194; 203859193; -1; 753778482; 675717033; 21979966; -1; 876397057; 420475854; 507407601; 254848082; -1; 914286027; 122877779; 498951927; 521035338; 977369306; 36287999; -1; 425644239; 99713991; -1; -1; -1; 724575246; 740576417; 10309127; -1; 351136806; 560609372; 822617789; -1; 447416481; -1; 80483390; 792548716; 562851208; 565651410; 686543144; -1; 631978885; 691931754; -1; -1; -1; -1; 845329256; -1; 132481783; 214440469; 106727141; -1; 841386671; 989847382; 438240265; 151075366; 776283234; -1; -1; -1; -1; -1; 887310490; -1; 375957850; 794653413; 765266378; -1; 426353824; 141131685; 670613705; 771663241; 570116937; -1; 111070009; 486846319; -1; -1; 949070295; 954114277; 228590259; 109895439; 639852753; 226449456; -1; -1; 255159920; 952766493; 129779995; 778427084; -1; -1; 294836550; -1; 960027123; 968957470; 813041535; 344104214; -1; 976493437; 780943216; -1; 982244480; 478157969; 391280296; 228895336; 310043450; -1; -1; -1; 316468153; 248474770; -1; -1; 323535607; 111017962; 493535653; 61074537; -1; 906634074; -1; 187432815; -1; -1; -1; 518168387; -1; 224083477; 657518275; 385128319; 820520963; 750186532; 981415586; -1; -1; 176112782; 811882953; -1; 686289633; 189105954; 681002562; 664540050; 396162866; 557009760; 901919281; 625319410; -1; 163973325; 526495420; 564055948; -1; -1; 593051810; 936450987; 3464959; -1; 765908369; 628287825; 451626025; 340026668; -1; -1; 492237107; 633231221; 394130034; 869798510; 946347748; -1; -1; 444120734; 58872989; 862081469; 365675512; 618583993; 406128237; 598412211; 88201499; 73423883; -1; 695447690; -1; 110420978; -1; 70950057; -1; 782311155; -1; 346164754; 213272111; 217004747; 507362502; -1; 822875028; -1; -1; 216343817; -1; -1; 120564244; -1; -1; 373546096; 632246040; 245383968; 369922881; -1; 549392871; -1; 70426066; -1; 157773966; -1; -1; 444898874; 676490723; 706923389; 24505250; -1; 796895946; 284697862; 855487015; 947801297; 330846511; 988130561; 554466081; -1; -1; 892249757; 647182424; 314779380; 482493663; 850654719; -1; -1; -1; 639307857; 677291578; 203277301; -1; 83688721; -1; -1; -1; 985508477; -1; 610817198; 384511745; -1; 83038596; 874771613; 374423097; 9754025; -1; 983810393; 209100871; 68287601; -1; 381648655; -1; 7408188; 997680234; 764204020; 448188349; 987510672; 51125079; -1; 351189572; 993132583; 525720689; 368924242; 404676066; 859898619; 295617265; -1; 472575856; 155052874; 712900738; 873368518; 318639667; 551726027; 606024380; 316799893; -1; 621459271; 896592271; 699773408; 244775117; -1; -1; 667873866; -1; 256073504; 926450794; 494612181; 487995904; 79140393; 903152193; -1; 894572983; -1; 709728635; 815938895; 594428396; 179315229; 76725249; 482625333; 258137209; -1; 864491931; 997215104; 899339881; 869785796; 682644576; 932899618; -1; 662394684; -1; 898193142; 248425374; 769970121; -1; 771846999; 365348733; 613246425; 735374799; 795660267; -1; 661754551; 742176783; -1; 585356372; 978819622; 81309286; 450121479; -1; -1; 561188315; 303634930; -1; 162461626; 957682973; 149636989; 652477663; 47567838; 371440323; 827096421; 294021794; 141261451; -1; 181417953; -1; 281902913; 618727963; 657947654; -1; -1; 303995079; 268601782; 737772474; 163944018; 201364113; 162212783; 736013583; 91442947; 490121390; 588987599; 747178505; 252668518; 972390503; 408881087; -1; 708012672; 101851673; 970548277; 148673461; 719361156; 766986309; 634016239; -1; 347130142; 958169832; -1; 270221568; 689529858; 947562262; 42940482; -1; 635971719; 867768052; -1; 316496543; 500987453; 946108848; -1; 670991199; -1; 301120337; 286128081; -1; 82026070; -1; -1; 805992865; 394968184; 181868527; 27382073; 756148263; 810102402; 73253021; -1; 508753701; 348236532; 365092959; 967294498; -1; -1; 118069550; 85249543; -1; -1; -1; -1; 714182267; 24439795; -1; 766017207; -1; 535969952; -1; 302391737; -1; 70817872; -1; 998784058; 449976013; 645340879; -1; 814990448; -1; 48568094; 544104446; 765747942; 927679074; 680762642; 884685250; -1; -1; 897489614; 396404126; -1; 65662685; 966330330; -1; 179419635; 104262080; 730112542; 300145992; 814393211; -1; -1; 262130719; 983737636; 594523941; 416732077; 563719882; 955512365; 431335619; 907216290; -1; -1; 770531952; 797359529; 517916839; 383482661; -1; -1; -1; 485379585; 746877779; 386988385; 55654058; 224815114; 386291184; 691230610; 710967056; 686477515; -1; 593958526; 645950238; -1; 220467912; 777679519; 815928527; -1; 385088978; 685319217; 438659452; 948297472; 609452879; 684033469; 52233313; -1; 347220326; -1; -1; 8756256; 792161468; 441413635; -1; 731170233; 657804855; 114621573; 22177124; 772637644; 509128520; 894106189; 945588070; 694630868; -1; -1; 44875670; 392902173; 628533305; -1; 429086937; 906703348; 684989668; -1; 938488234; 280055395; -1; 611787022; 946529584; -1; 265327648; -1; 553082146; 192630301; 950501571; 260610706; 865281177; 551640051; 558260645; -1; 983356381; 543631758; 882005584; 75483341; 670672684; 587914048; 725467613; 635279497; 800022703; 601030914; -1; -1; 384087872; 84259446; -1; 412843907; 597274869; 812591227; 474106615; 734128469; 110014106; 580657634; -1; 250796804; 228387275; 218739237; 677049190; -1; -1; 971309170; -1; 941658184; 874745843; 948442338; -1; -1; 643196769; 825767997; -1; 725063439; 833943645; -1; 594099390; 944933599; 277128135; -1; 312748847; -1; 850695019; 308487918; 529054533; 815650696; 274034982; -1; 69794745; 597218630; 943974096; 654575023; -1; 930110170; 899070320; 882272410; 546484602; 74719915; -1; 860173939; 371055120; 284886922; 949181932; 726155452; 391362229; -1; 194204804; 131091817; 232596729; 819476036; 555681406; 551810383; -1; -1; 429011467; 805248783; 790525929; 672438850; 868553925; -1; 553939512; 884963592; 696772671; -1; 377601965; 466615910; -1; -1; 975812533; 269673460; 751948952; -1; 44678453; 749271389; 583978859; -1; 469750885; 68154216; -1; -1; -1; 367164004; -1; -1; 522419940; -1; 395389006; 562774520; 37234344; -1; 104993730; 62741282; -1; -1; 920995120; 914522746; -1; -1; 169774345; 129263813; 232324645; 823203606; 799012938; 238802268; 421934978; 241971969; 12926593; -1; -1; 827194238; 335165019; 199510527; 161319024; -1; 886166796; 285600253; 724016705; 540771995; 621517394; 659453130; 125788515; -1; 657605054; 270614322; 436145848; 231293496; 858600268; 909418699; 969555572; -1; -1; 369871793; 187648919; 557818308; 781396815; -1; 715433272; 102758406; -1; -1; 649028700; 328950029; 493357744; 945195029; -1; 121168895; -1; 951479532; -1; 437382512; 347634772; -1; 604905966; -1; 33015662; 494666647; 171801631; 291319813; 277240768; 273568876; 8301727; 882986561; -1; -1; 995747947; 974092096; 308457870; 658505012; 940890575; -1; 203471942; 273191681; 356909953; -1; 981052559; 980773618; 936461367; 544094848; 483289811; -1; 427159801; -1; 818611420; -1; 406839944; -1; 59372303; 364555377; -1; 777859298; 152144194; 416242782; 113998533; -1; -1; 682202331; 456996154; 497624903; -1; -1; 652793407; 844000669; 647558594; 841505176; 258978163; -1; 497583221; 265965084; 497202126; -1; -1; 722151184; 244807564; 402463733; -1; -1; 447990054; -1; 92600948; 469042832; 986186881; 239982964; 453351103; 400476304; 182943499; 106892509; -1; 476310525; 163007785; 667268360; -1; 90011868; 59836994; 165188810; 190960345; -1; 818944389; -1; -1; 789227055; 943037169; 653893687; -1; 335131510; 419360404; 161898984; 980595239; -1; -1; 308201936; 914848664; -1; 940530909; 270853386; 235662539; 260866264; -1; 560019089; 422173707; 194570228; 532206012; 586377758; 601472104; 975587602; 500899896; 387701134; 403068673; 48504894; 432844792; 331695910; -1; -1; 531812990; -1; 589664715; -1; 801240353; 557881398; 981942110; 262068390; -1; 30594287; -1; 92951962; 504755277; -1; 108794670; 623515008; -1; 697353210; 512446426; 828941563; 447032809; 519867339; 880281036; -1; 936910491; 743698132; -1; -1; 582888188; 148044776; -1; 318231033; -1; 331966124; -1; -1; 387396690; 691480586; -1; 243079404; 383020505; 132925465; 649074000; -1; 802112197; 153926784; 905053122; 520609638; 858533158; 553383476; 228924397; -1; 264918406; 103429019; 450806724; 223736139; 580049381; 131798622; 975873891; 161954161; 846969700; 604881366; -1; -1; 882463670; 959264287; -1; 559952295; 287344588; 145156250; 258658844; -1; 433845534; -1; -1; 78666622; 641571179; 702859236; 115302725; 862026388; 177648631; -1; 799817385; 22911741; 940477828; 904750381; 747298983; 896354617; -1; 930431101; -1; 759663688; -1; -1; 801608300; 258325560; 677720825; 615938387; -1; 987540745; 467500726; -1; -1; 642166748; 647035864; 23705838; -1; 354905744; -1; 115432580; 179363164; 8607376; -1; 217281596; 509810456; -1; 716615171; 196678402; -1; 43270155; -1; 181292700; 306866060; 23117133; 761036267; 885606707; 137881604; 438247938; 326865748; 715685901; 795004931; 712105964; 787129701; 486052247; 115091248; -1; 812753962; 401155224; 631068088; 284811563; -1; 732628480; 126442963; 244650877; -1; -1; -1; -1; -1; 915474100; 714017866; 153689416; 375109503; 104512139; 525514392; 622705843; 926880470; -1; -1; -1; -1; -1; 747002991; 543651658; 147639628; 165273933; 82885192; 216524302; 637684729; 49600750; -1; 864991593; 284734833; 596183909; -1; 988909972; 194194071; -1; 204776585; -1; 250167178; 140707773; 167227738; 635505284; 814074315; -1; 850454572; 923319821; 934829353; -1; 636586683; 612043800; 227084824; 988092267; -1; 235512799; 397489208; 723613071; 959155678; -1; 481857798; 273040128; 696197300; -1; 753555611; 294078872; 305010660; 631520054; 993313048; 604136123; -1; 720470841; 987175897; 670610742; -1; 289657656; -1; 720240632; 112295014; -1; -1; 344767913; -1; 217571776; 448580968; 797065422; 770324041; 53591528; -1; 612753086; 807859707; -1; -1; 380892740; -1; -1; -1; -1; 499398974; 711972355; 859293188; 746300281; 284275946; 306370550; 562210271; 558603468; 887274944; 915246048; 77401957; 120028385; 879104503; 729208820; 847120574; 377386689; 563102564; 864333552; -1; 81525421; 293481798; 525258507; 934907059; 290975667; 140650330; -1; 898759930; 39803775; -1; 245643985; 88029478; 356955261; 28112471; -1; 656221919; 133200959; -1; 632028027; -1; 467524441; 427411418; 191854567; -1; 272274859; 841053180; 472252404; 481143696; -1; 728003465; -1; 203435549; -1; 327637156; -1; 375981747; 591077796; 471666068; 774704867; 588925589; -1; 769830894; -1; 394469267; 589876494; -1; -1; 823972866; -1; 37414583; -1; 196683656; 676561030; -1; 879652702; 713837391; -1; 459012570; -1; 461808719; 617846183; 305546944; 975907973; 146412635; 796296645; 34563270; -1; 846634627; 780100504; -1; 523575041; 612696520; 819090934; 827775010; 959094190; 909088416; 589079868; -1; 485161473; 496492767; 305761286; -1; 235843175; 699146065; -1; 243159381; -1; 200610597; 102521567; -1; 575750760; 119251703; 7844109; 781181917; 751509370; 175542029; -1; 355451427; -1; 966348199; -1; 150602789; 685757237; 862125028; 352901353; -1; 997598820; -1; -1; -1; 278006700; 456990495; 190103875; 832656452; -1; -1; 567578983; 566696584; 240577290; 263478312; 218355122; 188818162; 674397709; 734808007; 866948114; 888251467; 699174785; 200276629; 173429946; 606548688; 980281662; 906292236; 904298284; -1; -1; 928675928; 600062213; 765761549; 603618479; -1; 331546032; -1; 570347929; 736942009; 421858083; 437697058; 726550975; 321957351; 712206073; 680296877; 467121734; 215778915; 557499438; 551927300; -1; 123608667; 91362531; 852016226; 498984309; -1; 804435784; 542806690; 953416343; 15211029; 912300648; 171204077; 412327517; -1; -1; 552148556; -1; -1; 514574302; 169374918; 251791703; 875024565; 861385614; 985415391; -1; 351388918; -1; 570793992; 479934991; 425161508; -1; 695123593; 935178640; -1; 776765245; 659233948; 188612306; 98520512; 607092182; 622197737; 148368474; 137667883; -1; -1; 843475412; -1; 218393382; -1; -1; 291079276; 865107650; -1; -1; 827312837; 206632189; 990832702; 9923085; 88792721; 375947539; -1; -1; 319067649; 55781023; 650144651; 382664792; 562408511; -1; 287463494; -1; 79944344; 68466410; 374115495; 888205773; 781120947; 258200231; -1; -1; 148110696; -1; 978795716; -1; -1; 889989108; 907030944; -1; -1; 241750428; 96584471; 309959442; -1; 480749778; 508138132; 606926050; 133942187; 500623443; -1; -1; 905900466; -1; 63114280; 521111213; 560943951; 39518354; 555938744; 989046597; -1; 156432929; -1; 404537486; -1; -1; 70430280; 820753900; -1; 259208631; 890565662; 624516180; 787190953; -1; 444225797; 880729729; 13029858; 915099177; 246094454; 923796267; -1; 13556621; -1; 702192080; 595356233; -1; 574059699; 164351245; 654880543; 313232638; 949593549; 673401869; -1; -1; -1; 83205769; 700055148; 154763381; -1; -1; 307788998; 438925860; 900883780; 335478185; 549543947; -1; 625839750; -1; 545998168; 556867943; 543823375; 999157041; -1; 587940552; -1; 137932090; 686920962; 293842412; 72795223; -1; 518688358; 54663629; -1; 286458790; 321990236; 125164848; 384242859; -1; 959516749; -1; 506298092; 28344203; -1; -1; 751262464; -1; 709086398; 430539145; -1; 972628506; 73925800; 272463180; 136558303; 73891666; -1; 54618761; 757245421; 259245950; 272779671; -1; 944742305; 558027819; -1; 70267353; 179307045; 337287591; -1; 474905706; 605476051; 769508513; -1; 232354320; -1; -1; 139478749; 512449536; -1; 861448057; 402381360; 785983576; 502567606; 651110894; -1; 436139393; 810077691; 792643095; 61765448; 170102392; -1; -1; 394306807; 293032227; 617073219; 79676040; -1; 898704419; 223694673; 801147013; 745425701; 956614298; 962106437; -1; 685717524; 90318744; 195069392; 6488102; -1; -1; 381274856; 623540579; -1; 960485609; 574787488; 253903714; -1; 391327429; 778949163; 877031857; 667541239; 921071078; -1; -1; 355976047; 570180104; 991043368; 205030755; -1; -1; 204302791; 659263527; -1; 695231972; 649203523; 150256255; -1; -1; 498146622; 751969622; 882419696; 526681761; 481111866; 240717197; -1; 72289920; 527228620; 992033079; 526056726; 286943335; 801287717; -1; 787646647; -1; 936915084; -1; 15172857; 527117413; 690445617; -1; 926227946; 408233904; 677469843; 525540949; -1; 870779796; -1; 453031910; 218332637; -1; -1; 259283253; 382776781; 8093514; 328518973; 867364245; -1; 599182156; -1; 382220456; 838711997; 182462978; 116804512; 652368957; 311462495; -1; 629509543; -1; -1; 592162598; -1; 616537894; 757087196; -1; 464329438; -1; 268346350; -1; 554141689; 409164892; -1; -1; -1; 638872728; 272611095; -1; -1; 40443096; 88177565; -1; 428774561; 788564483; 542365803; 117234714; 394531338; 298520304; -1; 255884601; -1; -1; 973843581; 292048736; -1; 997135472; -1; -1; 925984495; 647709475; -1; -1; -1; 833924800; 328665974; 782181020; 244124128; 479924850; 399694211; -1; 885939376; 420454492; -1; 97848367; 402181331; 788463062; 434803396; -1; 300559040; 148422682; -1; 607938760; 472531846; 520320904; -1; 783427526; 255737941; -1; 234457873; 809822931; -1; 735226770; 275156485; 664110299; 267395877; 981089513; 573687117; -1; 910931443; -1; 693056771; 463472846; -1; -1; -1; 46274435; 564308281; 758277180; 58392135; -1; 74194419; 922238754; -1; -1; -1; 175025802; 994987195; 367847665; 230350633; 608009493; -1; 419922909; -1; 199080124; -1; 971566870; -1; 126235987; 463934807; 889123871; 462526403; 499478092; -1; -1; 475202898; 502217199; 510394782; 776562475; 374444899; 42680668; 670883392; 290528773; 450288909; 370351647; 751040984; -1; -1; 797475813; 996403893; -1; -1; 255604375; 513839458; 550235614; 506228656; 636021469; -1; 749129763; 520167129; -1; 710233859; 594923679; 67874975; 904737521; 501807064; 954155898; 725959659; -1; 41220954; 202515278; -1; 991870571; 682901020; 273627415; 399590970; 128683135; 182293461; 511729733; 194968464; 156140521; -1; -1; 201806180; -1; 680567923; -1; 973575520; -1; 933873045; 56048372; 487122697; 590432327; 954551228; 714320655; 769571093; 431703856; 488816592; 764416102; -1; 630043703; 876145301; 494938028; 13516961; -1; -1; 944987782; 560395360; -1; 42309940; 3026341; 430356611; -1; -1; 785486920; -1; 418363135; 929418159; 413684281; 637931351; 921183162; -1; 406115155; 982061933; 660364286; 543423606; -1; -1; 44840816; 157965361; 801250380; 151322184; 295549909; 230013069; 323061935; 418427804; 792807097; 118759697; 635692735; -1; 164975188; 314549514; 999719636; -1; 912695429; 331125944; 924544617; -1; 180572944; -1; 641468353; 468148163; -1; 695837822; -1; 864580914; 599714422; -1; -1; 205923429; 690419337; 467203562; 304620603; 570386546; 388431180; 9753249; -1; -1; 285600796; 617873082; -1; -1; 886525205; -1; -1; 237570663; 957702217; -1; 615203494; 523464726; 464516472; 553230607; -1; 473123216; -1; 219565010; 875380440; -1; 122636069; 498966817; -1; 607603230; -1; 167314187; -1; 114489695; 625154837; 983492378; 951185067; 334158165; -1; 404833763; 95694219; -1; 373908906; 194082217; 42964577; -1; 49589056; 758853253; 444751645; -1; 264874113; -1; 178979685; 363508119; 342573777; 963978324; 999247829; 663211768; 769356495; 924458661; 498376108; -1; 639164321; 262316050; 266408795; -1; 379957601; -1; 205713993; 5665103; 438027788; 604898975; 960444688; 859253207; -1; 425486037; 312471645; 948574408; 689667899; -1; 720865234; 195914055; 475061244; -1; -1; -1; 532905090; 323544900; 432120169; -1; 912548828; 631106626; 463097775; 979056937; 146393669; 680933012; 150163401; -1; -1; -1; 935538421; 481601957; 130411644; -1; 747379366; 381267869; 440794765; 284020353; 3375245; 550276229; 265669755; -1; 834762870; 409073495; -1; 791841807; 232541258; 70612856; -1; 492742538; -1; 979794154; 69379738; 946989864; -1; 665114170; 622068460; 64013574; 333978167; -1; 449303074; 262767877; 807379129; 236959072; 985299145; 279315595; -1; -1; 716867051; 820052475; -1; 776767521; 822133015; 898506843; 799509720; 384877760; 374298228; 444141091; -1; 776912275; -1; 187848168; 197548066; 962962752; 523503471; -1; 744214000; 547932895; 184883098; -1; 573461637; 85760832; 821130066; -1; 60956601; 349377502; 259252986; 780431281; 8316317; 880639113; 441081927; 982917044; -1; -1; 191586184; -1; 48747634; 890688603; 212582082; 573679662; 319720662; 555810823; 740072146; 953242368; 856744926; -1; 554622015; 607017015; 534291140; 861223222; 484060453; -1; 401095404; 254527059; 745542053; 440940626; 593338094; 462199296; 565966298; 298938268; 9385551; 785426320; -1; 612914989; 971337947; -1; 566226798; 297703299; -1; -1; 183769290; 734900724; 137442093; -1; 790675840; 713664140; -1; -1; 59617448; 538348453; 379945345; 615231072; -1; 850803837; 535013404; -1; -1; 661240529; 424730460; 477524431; 83557910; -1; 862761316; -1; 41897112; 62466087; 521325581; 955990468; 38281462; 540870142; -1; 937548364; 890654598; 885030841; 893948903; 718245698; -1; -1; 167374718; 932514807; -1; -1; 245600649; -1; -1; 215215273; 607572226; 314753527; 180637210; 579008599; 380753270; -1; 747427858; -1; 622391120; 935494638; 359251140; 688235663; 986571505; 831319292; 726210799; -1; 502094887; 66161829; 139399548; -1; 722096138; -1; 98367953; -1; 495120986; -1; 895368711; 827271652; 120581835; 302665191; -1; 124466025; 803028870; 768100569; 560866748; 886109982; -1; 665685753; 152115854; 503547499; 185316551; 200588037; 983534099; -1; 808641788; 313068197; 555087408; 731527464; 162125784; 489376710; 207895796; 806550885; 840913288; 101865198; -1; 640371086; 866273584; -1; 262148307; -1; 232619302; 742725871; -1; 888134945; 637450941; 121450798; -1; -1; 129763656; 600536120; 140567267; -1; 370721316; 890817471; 771429524; 690909820; 159774866; 895357229; 64757654; 667764033; -1; 979762865; 794901051; 704039731; 283628897; -1; -1; -1; 442537964; -1; 356186460; -1; 527582218; -1; -1; -1; 329872737; -1; -1; 221223916; 596904086; 1652482; 887202382; 584857001; -1; 906337344; 730350414; 782234506; 820821984; -1; -1; -1; 642330907; -1; 43246070; -1; 392280514; 820499086; 124660329; 212430208; 615451066; 670551627; 333277680; 709747591; -1; 214714441; -1; 163447872; 701205482; -1; 885413481; 373822064; 282517331; 761119233; 175732981; -1; -1; 195808606; 759467152; 941695420; -1; 148659716; 394655464; -1; 421779631; 745490215; 801102659; 76610604; 457503093; -1; -1; 259296232; 5748773; 949971873; 890592783; -1; -1; 785494783; 386697992; 536944154; 817958164; 9800511; 50738097; 164049364; 670762301; 345048463; 408044655; 30087049; 718813951; 683103060; 982080550; -1; -1; 280089806; 235264468; 766307875; 287216881; 650887092; 824035716; 448322706; -1; 279268355; 95342163; 840025098; 594789585; -1; 870098652; 180852724; 747880745; 654300559; -1; 243185584; -1; 728643845; -1; -1; 64720582; 381491611; 610107313; -1; -1; 457245354; -1; -1; -1; -1; 498337397; 486579755; 468527644; -1; 28582277; 20172246; -1; 125536932; -1; 444291936; -1; -1; 784785545; 943445034; 424148456; 494916017; -1; -1; -1; 438544864; 122642139; 917403763; 434690671; 201125763; -1; 344325745; 520881421; 492449282; 867047351; 677993271; 102277540; -1; 948900439; 28616635; -1; 335983254; 927394352; -1; 440237315; -1; 663197692; 706806609; 406807371; 761655054; -1; -1; 574839494; -1; 334809138; -1; 901141339; 717252258; -1; 504114176; -1; 878938628; 477721191; 549113277; 623452655; 167041512; 999874220; 363613326; 787808567; 122200642; 850651990; -1; 85222593; -1; 886640093; -1; 653716834; 416406533; 973030680; 158389358; 833310725; 154655232; 278265199; -1; 508784600; 320107044; 423509696; 458898555; 52418830; 188179956; -1; 586178522; 419699186; -1; -1; 8180139; 93741485; -1; -1; 896614861; 77678740; -1; 728414248; -1; -1; -1; -1; 670148896; 351689971; -1; 56584233; 902803074; 338434994; 210546970; 15041627; 507374556; 718093822; -1; -1; -1; 735201523; 117268240; 272577157; 863195346; 425462535; 9824072; 421727365; 374743260; 258627753; 92651841; -1; 466721561; 987621563; 399344472; 22761549; 586492607; 948500649; -1; 555163671; 456550576; 66204336; 188318851; 373579134; -1; -1; -1; -1; 626568937; 608374787; -1; 678412727; 102424695; 884765850; -1; 529847265; 700512585; 676077926; 786812645; 411136846; 57442331; -1; 820846080; 690441121; 362857594; 549640979; 948807375; 520390277; -1; -1; 924272039; 731770260; -1; 331236634; -1; 989167711; 191255226; 907230490; 287009852; 303722517; 463362183; 851571877; 566013122; 22384208; 410185312; 30115079; 414105010; 496057516; 997080827; -1; 932748325; 881106063; 548986092; 304065841; 939545734; 212781758; 49873770; -1; 473471228; -1; -1; -1; 877529475; 176962209; -1; 988164862; 292165029; 688872513; 6673313; -1; 846341086; -1; 429240054; 727040216; 89743838; 647838575; 367912786; 387609575; 822695179; 996584411; -1; 856000261; -1; -1; 548189658; 174344979; 228391704; 437660341; 663398258; 874964588; -1; 187118626; 228747682; 680795719; 448898126; 683911392; 917797594; 516565294; 350474924; 800424579; 653804175; 96697379; -1; 555988482; 735265924; 705511279; -1; 37965324; 568149391; -1; -1; 267784838; 470568014; 903797482; 752095001; -1; -1; 409610375; 637525514; -1; 593680803; 434139685; -1; -1; 176484576; 3045850; 929130454; 697378615; 153329558; 13517479; -1; -1; -1; -1; -1; 13483208; 45480655; 401865945; 220414913; 974622023; 728965115; -1; 915196669; -1; -1; 591749386; 906900431; -1; 52738949; 98595377; -1; 892043202; -1; -1; 690175681; -1; -1; 118428464; -1; -1; 359529094; 531091986; 335334796; -1; 237118106; 101252549; 513560283; 836491342; 993665310; 504418798; 279771208; 545536335; -1; 844658128; 47594639; 286859706; 90662751; -1; 964579132; 407266788; 122064353; -1; 878048699; 160488806; 787196898; 281595894; 953833408; 456405991; -1; -1; 781681779; 281102291; -1; -1; 512373734; 826344922; 374850609; -1; 494443850; 715714038; 948068100; 235766028; -1; 708236085; -1; 126182442; 325990491; 550864473; 652160962; 824052236; 572605273; 796146149; 410643663; 731861776; 649534584; 405243855; -1; 998494264; 708846857; 452293089; 398715326; -1; 607083324; 450151623; -1; 921420152; 307618206; -1; -1; 247619836; 125309425; 627521873; 268329833; 834915945; 992784727; 251363024; 785474345; 413158247; 147503378; 823214624; 564001926; 130979384; 976341757; 472065065; 616561921; 781062652; 269512575; 912450842; 676483129; 274391970; 756618332; 582741300; 777727293; 191689361; -1; 467956468; -1; -1; 119245096; 66607434; 618026945; 393062350; 465266026; -1; 703810878; 553359290; 810752255; 19992199; -1; 742298406; -1; 692944751; 943188488; -1; -1; 25890744; 485642230; 403342694; 24970266; -1; -1; 464940080; -1; 464706414; -1; -1; 128160911; 819315652; -1; 968705708; 308682043; 48638009; -1; -1; 239288331; 8788730; 156228655; 278799262; 572571083; -1; 669701190; 746536354; -1; -1; 833382156; 489062078; 689070039; 369928947; 162174187; 790301487; -1; -1; 71700791; 405391220; 594546813; -1; -1; -1; 155223712; 517281159; -1; 797072805; -1; 456855294; 672493534; 332303739; 209400458; 774863488; -1; 679604391; 402858522; 413290209; -1; -1; 208379255; 143449393; 193173720; -1; 866307319; 724293637; -1; 349811694; 51384538; 532457160; 986785274; 871897714; -1; -1; -1; -1; 834496991; -1; 610681640; 352590235; 92234569; 654312001; 43085127; -1; 428524254; 209689558; 742266047; 167454156; 640742465; 791149732; -1; 931542936; 232210420; -1; 887146209; 189045221; -1; 767652074; -1; 664608748; 97486494; 552770360; 679026270; 66359425; 425234538; 384221402; 668998025; 819054343; 552747936; 561991464; -1; -1; 896790309; -1; -1; 764425331; 17984404; 293036102; 620619939; -1; 245050686; 205323685; 307239088; 872374283; 134206225; 95523999; 599814991; 907166350; 37453777; -1; -1; -1; 438704580; 313203241; 906156644; -1; 331684790; -1; 87955728; 860238984; 780757434; -1; -1; 367660312; 375606997; 841744011; 642723208; -1; 730107472; -1; 184657132; 954789489; -1; 204934465; 864023563; 146488897; -1; 680704400; 573694495; 612641681; -1; -1; -1; 466198678; -1; 972919912; 209800123; 359744758; 330736301; 508845653; 658452141; 307149911; -1; 147592171; 774019333; -1; -1; 73391026; 362207887; -1; 71715065; 423494784; -1; 432011975; 246554629; -1; 454019789; 170966047; -1; 491013611; 776500058; 455002497; 515234739; 666076709; 541527740; 250035513; 471637541; -1; 295067829; 987215759; 601600297; 346770683; 104335493; -1; -1; 732253306; 168308930; 887464737; 439294466; 955480659; 997021246; 16531311; 15628782; 211466444; -1; 22027973; 328444037; 689895355; 12332570; 349896686; -1; 99000862; 970434022; -1; 640906382; -1; -1; -1; 245895542; -1; 717759701; 827231355; -1; -1; -1; -1; 79857172; 157071396; 680204656; 775729980; 188741879; 276625881; 607890858; 464131490; -1; -1; 737319057; -1; 524502270; 750116576; -1; 257318414; -1; 562411410; 419299861; -1; 509393919; 162838796; -1; 31158726; -1; -1; 862840583; 641166888; -1; 690087388; 825379856; 870924737; 531921603; 664950629; 949229668; -1; 395720188; 720768930; -1; 760918955; -1; 576116452; 69336165; -1; 839040343; -1; -1; -1; 85879857; -1; 982243642; 883159049; 658080024; 80956544; -1; 450425460; -1; -1; 708214856; -1; 97923090; 521465179; -1; -1; -1; 239857205; 816741900; 170363288; 538936790; 614803474; 993702669; 340665827; 211535784; 595417890; -1; -1; 853569199; 27633700; 592981188; -1; 871187805; 641537931; 808449535; 914244828; 280690440; -1; 325429065; 885068718; 687359255; -1; -1; -1; -1; 440027765; -1; 954736931; -1; 605463582; 72535639; 451715562; 267300081; -1; 899926456; 522337337; 931105534; 408422070; 288121702; 635602644; 386723548; 787804132; 675718200; -1; 312747260; 489872863; 19329725; 269781774; 138554011; 162555592; -1; -1; 52583370; 765993958; 374283337; 26067800; 87775109; 211614798; -1; -1; 7877208; 771260046; -1; 218331656; 458310306; 335677337; 440949531; 270925257; 269123870; -1; -1; 1451025; 444322945; 788401671; 665055816; -1; -1; -1; -1; -1; 787734628; -1; -1; 560078384; 422377275; 700676847; 866078461; 293327931; 30714972; -1; 399863202; -1; 197345295; 962221122; 649171918; 833502930; 904934429; -1; 852169045; 986740668; 929330317; 560254742; 836091036; 451251833; 678082271; -1; 590201742; 352951223; 631663235; 633324963; 984729718; -1; 576585046; -1; 704675608; 752187811; 401662503; -1; 746739963; 634753893; -1; 429007098; 689035707; 218839554; -1; 757449279; 356325395; -1; 750836348; 83071644; 779937830; 718590934; -1; 384738427; -1; 717861956; -1; 59154683; 913342439; 659172171; -1; 181333436; -1; -1; 865922102; 827279124; -1; 474646138; 781532796; -1; 330738309; -1; 529463130; 149890542; 106754927; -1; 237403593; -1; -1; 494741957; -1; 347422359; 124747090; 957075670; 935036234; -1; 445847524; 646631099; -1; 933320945; 919219447; 314796316; -1; -1; 296595597; 338056620; 773515332; 138429177; 719315430; 482624596; 744313962; 523424315; 538913080; 473391684; 968540378; 571345367; 672297099; 107297851; 458121540; -1; 181576769; -1; 510066033; 333433309; 794911264; 67450319; 70119186; -1; -1; -1; 681816831; 202397652; 918413102; 166144641; 127096545; 160095972; 415381198; -1; 555683269; 911875885; 571371590; 12292786; 808454941; -1; -1; 900649581; -1; 814546433; 423040122; 933008630; 941806647; -1; 161346864; 453674242; -1; 783184487; 487925342; -1; -1; -1; 171950960; 316959102; 31120473; 65352673; 379693602; 956809993; -1; -1; 377838258; -1; 562639780; 882985684; -1; -1; 145540147; -1; -1; 917972452; 792221576; 751906565; 304691236; 799653564; 317774641; 705958760; 888114348; 766946084; -1; 556508634; 294038053; 629975645; 87309974; 647501178; 843092312; -1; 43863648; 532972183; 46455015; 478931211; 473503352; 780705437; 629147618; 920577719; -1; 187744495; 502895071; 902739658; 717966539; -1; -1; -1; -1; 871459278; 207323112; 180962979; 673935162; -1; -1; -1; 170989774; 852574141; 334219926; 6459636; 668882382; 95930918; 209067663; -1; 175420310; -1; 854712868; 397917505; -1; 296579142; 509747324; 749609871; 707085649; 307396254; 97960946; -1; 961439727; 919382829; 290113987; 16462030; 343470469; -1; 771108225; 842242666; 461911134; 442333145; -1; 390851031; 898001052; -1; 561837170; 278897237; -1; 640352766; 312284284; 652579449; 299784995; 424167017; 849811137; -1; 990468109; 608391832; 425370258; 323287157; 671976578; -1; 30358031; -1; 591278745; 80771312; -1; 959113011; 322733563; -1; -1; -1; 89737611; 145973213; -1; 993670634; -1; 251524111; 806339759; 649718719; 160684194; -1; 620188304; 570882133; 565604453; -1; -1; -1; 523846113; 38028945; 845800054; -1; 182412730; 566124444; -1; -1; 840399473; -1; 979582225; 98491971; 632172955; 11317941; -1; 574578392; 103665080; -1; -1; -1; -1; 496635382; 978518572; 760470711; -1; 218038680; 117591258; -1; 107009575; 215064367; -1; 284341254; -1; 324144936; 76356667; 170587235; -1; 837775800; 234032911; 197165049; 815796560; -1; 580585283; 163550167; 193206017; 862505168; 584184870; 426152095; 504203352; 129076070; 445191362; -1; 578153911; 829708366; 627125576; -1; 306874959; 130809769; -1; -1; -1; 462082004; 748509104; 8334000; 515685933; -1; 222863645; -1; 65438823; 269486321; 112771171; 938000862; 312853036; 919770447; 359572649; -1; 63639439; -1; 920597078; 420990462; -1; 823659989; -1; -1; -1; 237317615; 272719826; 913717672; 537806309; 368518715; 431399444; 558600604; 165112640; -1; 28196295; -1; 777562358; -1; 140161038; -1; -1; 706669790; 288007286; 622914667; 208904928; 542061953; 720437916; 54129039; 84400590; -1; 389684181; -1; 643458038; 67328171; 23641986; 111372902; 423716001; 292240475; -1; 335906625; 933880045; 333386090; -1; -1; 441897308; 844092941; 40846350; -1; 543703054; -1; -1; -1; 569737085; -1; 878083239; 325475212; 137681214; -1; 296033695; 132703853; 793932944; 629501172; 40934937; -1; 923975625; -1; -1; 912303204; 284186260; -1; 265381978; -1; -1; -1; 40197851; 579670616; -1; -1; 380373694; 924503298; -1; 670387597; 578755518; 878527619; -1; -1; -1; 948819569; -1; 340383231; -1; 514682240; 813567742; 626453201; 161110544; 681137545; -1; 698826658; -1; 866453513; 430602336; 274927230; 792384183; 466090291; 542242841; 73327312; -1; -1; 982502368; -1; 827276799; -1; 66318197; 933145438; 150983371; -1; 779680488; 111723587; -1; 221970214; -1; 446843575; 133447610; 213693331; 324140300; -1; 100696202; 886375075; 845987389; 784120641; -1; 678117232; -1; 411892507; 901447063; 230828455; -1; -1; 464740688; 767378198; 802903507; 456045291; 413100800; 768191819; 892078076; 230756928; 201361245; -1; 890330965; 549493834; 479577222; -1; -1; 647807934; -1; -1; -1; 615339538; -1; -1; 598577278; 395541772; 843309777; -1; 994392699; 116388702; -1; 354637678; -1; 548610221; -1; 62304883; 622771195; 405939586; -1; 150328980; 424608933; 322315008; 936748636; 592361618; -1; -1; 22933916; -1; -1; -1; 43697924; -1; 453776259; 93076898; 663032999; 177223302; 894877527; -1; -1; 146383920; 416550386; -1; -1; -1; 132539216; 990689563; 946694072; -1; -1; 437193362; 72374686; -1; -1; 923251451; 22659898; 193726995; 555710734; 390268073; -1; 102745012; 302853178; -1; 164451589; 731697995; 589878028; 4996356; -1; -1; 434255361; 659215071; -1; 439174622; 296168410; -1; 608820199; 884497443; 548076848; 817038643; 503595039; 539758854; -1; 692238282; 536469870; -1; -1; 867325230; 21507645; 201664230; -1; 72064806; 139778432; 37300996; 391922225; -1; 532021756; 152676873; 196735550; -1; -1; 764238411; 17552008; 67705719; 399372956; -1; -1; 546766223; 257881703; 358409241; 729478921; 258825633; -1; 560105162; 71558607; -1; 625648292; 115657998; 974890249; 495121298; -1; 333580177; 49173138; 494109205; -1; 940014146; 223708162; 159211167; 672367820; -1; -1; 184526147; 852655768; 929268148; -1; 878201366; -1; 39590425; 694614402; 508110888; 829221415; 47354532; -1; -1; 599355622; -1; -1; -1; 758737550; 290167557; 134368878; 599039011; 554765282; 932528987; -1; 490966351; -1; -1; 534362912; 197366521; -1; -1; -1; 328702822; 352185607; -1; -1; -1; 556630781; 535518; 268109277; -1; 501353565; 569447944; 330735473; 551882798; 575069292; -1; -1; -1; -1; 776644976; 29415532; 812467163; -1; -1; 206375024; 364634950; 536330008; -1; -1; 65496295; 515416143; 164004425; 824353533; 763001393; 866891089; 295714817; -1; -1; 838721940; -1; -1; 397036906; 115967379; 403216512; 825565740; -1; 832099115; 940183379; 623468989; 276858456; 800822403; -1; 746399359; 224159468; 731743001; 144072425; 989123459; 364638521; 934162930; 707874291; -1; 147320783; 795205576; 40028537; 3908903; 122664582; 499435173; -1; 557972311; 966256275; 71973646; 917773501; 75714466; 519383114; -1; -1; 325943005; 848125087; 998125352; 703310761; 744807993; 922977243; 466625653; 565085963; 526240002; 428858347; 407045041; -1; 474058167; -1; 878376192; -1; -1; 314442835; 149788706; 437462840; 973665875; 667373219; 640529956; -1; 568861432; -1; 693489153; 263458815; 792415304; -1; 708229082; 482089365; 728649816; -1; 963694798; 851768505; 884280874; -1; 298613524; 205225170; 138479940; 988071065; 838851816; -1; 509046836; 511379086; -1; 52505366; 729128084; 67284468; -1; 784163824; -1; -1; -1; 552267048; 902224235; 667831850; 663288730; 947363861; 579012064; 692130532; -1; 113524919; 279204496; 211468333; -1; -1; 495815613; -1; -1; 120717161; -1; 19041240; -1; 275871303; 419158047; -1; 151622407; -1; 462836008; 8496013; 615355420; 976047812; -1; 686834736; -1; 376485085; -1; -1; -1; -1; 508577046; 473335647; 518746289; 953390205; 707923278; -1; 380879151; 279933103; 268692448; 801019576; 895834801; -1; -1; 876213894; -1; 392925542; 705459914; -1; 414724786; -1; 124653841; 790408175; -1; 653231904; 247320742; 9825038; 105425411; 957715682; 864527915; -1; 784441819; 976396782; 373602664; 384691498; -1; -1; 427696792; -1; -1; 932929002; 689424669; 301161678; 438239336; 793253567; -1; 332943135; 808813036; -1; -1; 502121080; 650972908; 37253017; 819277395; 305663653; 460213416; -1; -1; 622765303; -1; 563015676; -1; -1; 431279533; 858169768; 795440998; 572618638; 605584959; -1; 985913627; 534718561; 298640449; 44160625; -1; -1; 819090566; 646035514; -1; 386503116; 177613143; 732335672; 833347653; 761881692; -1; 856378358; 461748154; 233780993; 721827229; 975086700; -1; 414300349; 537032252; 567246595; -1; -1; 388208153; -1; -1; 148425238; -1; 424244568; 357219944; 261081766; 73661206; 876146614; -1; 836440390; 479298990; 948290559; 152533369; 653633362; 730213755; 196356914; 922134843; 709552969; 953205750; 990389069; 912708571; 30264778; 523617192; -1; 379500680; -1; 709235280; 769871265; 47936399; -1; 658682913; 105301174; -1; -1; 712164620; 65958360; -1; -1; -1; 592472088; 903544610; 858140589; -1; 397260644; -1; 205587344; 844643606; 80970413; 90099745; 976760408; -1; 531732783; 846514869; 642639135; 983984064; -1; 439305315; -1; 114339426; 561784971; 281715724; -1; 563510965; 65031176; 846222093; 740437606; 110377069; -1; 186416452; 790164382; -1; 548624390; 139977295; 123538303; 185461428; 964831822; 845315171; 327894267; 409789292; 157546760; 942715295; 638789635; 362421231; 922161452; 477283221; -1; 649666720; 141015174; 825669131; 476606385; 279233823; 266768362; -1; 669450257; 58262791; 151676731; 417752378; -1; -1; 284122401; 921562166; 878694948; 655240255; 21990105; -1; 512056757; 995995387; -1; 618375937; 545872583; 423563571; 964636109; 120392252; -1; -1; -1; -1; -1; 343340412; 727633428; 250591083; -1; 222058328; -1; 623087139; 910614476; -1; 832801778; 488271078; 26725713; 91668640; 248527479; -1; 572397449; 289703495; -1; 28409264; 606044; -1; 950782509; 148280522; -1; -1; 623311684; 191415051; 109809526; -1; -1; 131986131; 588317478; 168939650; -1; 174016176; 848554540; 315443697; 374103335; 687133566; 462174786; 132120708; -1; 344279128; -1; 792451342; 850486562; 266460743; 183087113; 442689140; 487725466; -1; 891384403; 841111778; -1; 407208247; 583717440; 504874076; 640101512; 910441938; -1; -1; -1; 23708593; -1; 773009715; 61716703; 534161255; 493722073; 546778833; -1; 950605493; -1; 743762886; 282843632; -1; 159090989; -1; 218789068; 277123687; 526677292; 699350192; 197867151; 358899473; -1; 933592212; -1; 581451722; 421441058; -1; 533213961; 68298096; 171996014; -1; -1; 688124499; 896582579; 497028329; -1; -1; 26153994; 340019648; 879719897; 901342542; 21656599; 130165742; -1; 646389361; 499534378; 459396603; -1; -1; 687929814; 393115024; 266211968; 85096780; 252411424; 370734705; 224134417; -1; 573239025; 55605935; 154831524; 187362199; 266992358; 972718299; -1; 974368856; -1; -1; 605454356; 52895894; 608126807; 215252022; 798235173; -1; 497997795; 159803416; 240690088; 275678972; 902432150; 507591381; -1; 153517708; 530759723; 148788484; -1; 514201368; 731123903; -1; -1; 706156094; 485663108; 695269758; 9437243; 470394173; 909036250; 206952231; 278267417; 454099894; 250741327; -1; 132909547; -1; 327326590; 430123565; 402593572; 761812826; -1; 890273202; 507394347; 597375665; 612735814; -1; 24844883; -1; 82220750; 62360245; -1; 204539502; 373369246; -1; 71296786; -1; -1; -1; -1; -1; -1; 27551561; -1; 775704631; 108448376; 323710612; 616161058; -1; -1; -1; 888274545; 463382546; -1; 143083659; -1; -1; 900448049; -1; 588988555; 406558628; 254697826; 3966067; -1; 37524575; -1; 86366623; 488152590; 291362583; -1; -1; 791027696; -1; 702026752; 74384404; -1; 803639490; -1; 829242845; 463882377; -1; 192568699; 548996862; 758358265; 456223001; -1; 850061645; 208774516; 71896213; 506965346; -1; -1; -1; 823833084; 205657748; 542692434; 293347815; -1; 154048506; -1; 124276855; 561437209; -1; 343308622; 114578202; 909006072; 832991978; -1; 514717890; 678689314; -1; 265559138; 83041616; 577639983; -1; 474272493; 514883734; -1; 590952514; -1; 537857624; 612910843; 471124090; 346021826; 636563809; -1; -1; -1; 173323381; -1; 586831207; 960644247; 662359909; 77565315; 477498350; 571139313; 401290495; 118079855; 705468114; 679482240; -1; 917577584; 728151525; 442671483; 10616744; 763434442; -1; -1; 233810114; 807221920; 497588485; 127850822; 839287682; 286271455; 598168072; 973726701; -1; 310443392; 287655414; 50626283; 738115521; 851730399; -1; 784819644; 881960588; -1; -1; -1; -1; -1; 671002218; 846152907; -1; 382813982; -1; 474777670; 105818880; 893088926; 581355690; 550371035; -1; 364480082; 514417047; 47752083; 431441743; 362282338; 654897465; 335313432; 596876847; 245646063; -1; -1; 250521464; 319691333; -1; 991257305; 992761951; 612819405; 367293852; -1; -1; 500393025; -1; -1; 202126276; 940318373; -1; -1; 917830865; 402374365; 11062450; -1; 735973655; -1; 915393608; 110785064; 156134198; -1; 435365066; 33039822; 779653354; 641808649; 993150674; 873354793; 128317368; 49045175; 238715494; -1; 552776417; 974708379; 796083648; 477542881; 410382242; 537631051; 149581605; 376671796; 124939886; -1; -1; -1; 227696162; 591522238; -1; 199115502; -1; 457891524; 488578097; 254401258; 81326111; 225480423; -1; 970169538; -1; 949435670; -1; -1; 350066159; -1; 306599558; -1; 934206056; -1; -1; 544976971; 942798957; -1; -1; 331981704; -1; 872559940; 680947263; 19698992; -1; -1; 492764845; 710804278; 260449373; 45903332; 534313457; 497227590; 275084013; 67848604; 611045661; 14826397; 571925435; -1; 914113383; 668677560; -1; 949255099; 371285070; 659931449; 387806676; -1; 529954262; -1; 559189723; 21176218; 548587951; 365484951; 757492764; 320160950; -1; -1; 32409442; -1; 284232810; -1; 455844766; 989199673; 1597030; 76300227; 878992407; -1; 507956754; 125764647; 547575119; 278108259; 829824310; -1; -1; 436888965; 456044270; -1; 449863286; -1; -1; -1; 38823847; 571104979; -1; 979170774; -1; 215892688; -1; 718324990; 114192026; -1; -1; 955062062; 423588031; 568160445; 369815673; 29112867; -1; 441297653; 836253594; 737914001; 572606261; -1; 471557176; 690050404; -1; 607979920; -1; 567400490; 863022308; 895488436; 953723125; -1; -1; 19406457; -1; 976264179; -1; 783532445; -1; 478774542; 122068185; -1; 773540530; 61791949; -1; -1; 781493207; -1; -1; 625596507; 984058837; 786661577; -1; 194592; 414831207; -1; 538157834; 291705258; -1; -1; 308369392; 524577783; 499080507; 960563086; 551592318; 99295985; 422321043; 706336081; 966487318; 552414573; 37182722; 11238568; 923688749; -1; 521813594; -1; -1; 554384816; 274983658; 259741230; 129625038; 596013365; 626150021; -1; 671002747; 942287552; 864947315; 586942192; 617539088; 683750808; 863946230; 203383461; 997958343; 418893610; 983568933; -1; -1; 815688676; -1; -1; 329925453; -1; 779372331; 34815535; 690948742; 496510977; -1; -1; 131379170; 154409262; 130317114; -1; -1; -1; 79541903; -1; 849363000; 746542829; 356518342; 310442883; 250899781; 894477975; -1; 706307963; 612613924; 224373076; 276697941; 247119915; 649341940; -1; 870691522; 933094384; 660984872; 122395529; -1; 122732945; 502143968; 789992464; 551733595; -1; 586132722; -1; -1; 898484344; -1; 953996649; 987330086; -1; -1; 425139682; 361263116; 958178219; 96860961; -1; -1; 728595037; 748307950; -1; 156437491; 652727617; -1; -1; 760277992; -1; -1; 977298108; -1; 420739301; 596515877; 233518993; 965598660; 965914904; 660183704; 938005144; 770273071; -1; 643833750; 66409506; 570775642; 813352304; -1; -1; 134548591; -1; -1; 413224307; 871000430; 901786920; -1; 264716092; 975924903; -1; -1; 71965511; -1; 45166505; 728334864; -1; 548981973; 583601966; -1; -1; 571373084; 103267396; 244993889; -1; 378194100; 364110267; 701181696; -1; -1; 994458568; 812180561; -1; 777091636; 79725947; 972589970; -1; 570460372; -1; 948211756; 133952187; -1; 677370020; 884297393; -1; -1; 38490508; 585611678; 925283164; 410032130; 284869020; 828064491; -1; -1; -1; -1; -1; 853298771; 539754494; -1; 53545304; 232407448; 987392025; 305316643; 335248254; 74417074; -1; -1; -1; -1; 291335652; 542338734; 327727971; -1; -1; 980267451; 562473752; 112734207; 983570959; 748780738; 786893686; 859193263; -1; -1; 324571881; 431834849; 119486784; 738427702; 718827314; 584952431; -1; -1; 423820738; -1; -1; -1; 695649365; -1; 754028483; 36529500; -1; 605592344; 536492869; 479010224; -1; 730984328; 705535904; 348808817; -1; 655796373; 120914411; 496704456; 557823298; -1; -1; 436145979; 888297822; 535522194; 102049970; 28228606; 619496679; 474077788; 893372546; -1; 612244782; -1; -1; 965732657; -1; -1; 217097242; 947520814; 471124946; -1; 864639904; 575981980; -1; 724704010; 896369195; 496023; 760783676; 782954860; -1; 555603731; -1; 874238119; 268180050; -1; 96708610; 393074843; 36117939; 623896178; 873517831; 800138655; 288661508; 993449544; 479564235; 744842333; 782833617; 808289410; 395268328; 567703307; 78436991; 670464332; 191728962; -1; 106552624; 434960124; 114879220; 80660508; 154367938; 155202814; -1; 433977913; -1; 754993213; 639430871; 194330668; -1; 292507392; 138527060; 398406197; -1; -1; -1; -1; 890560705; 207546127; 815552403; 955550984; 113837755; -1; 562449263; 209943710; 145004727; 228136807; 154825970; -1; -1; 225142559; 552153147; 676130610; -1; 70354299; 338390943; 389452585; -1; 270044487; -1; 558131975; 339873558; -1; 17404619; 894444195; -1; -1; -1; -1; -1; 620137009; -1; 120358188; 184468581; 86717070; 192273318; 755376890; 952189256; 172147395; 558657408; 241585894; 968103363; 662882741; 55026610; 938223943; -1; 491717202; -1; 39408762; -1; 160485999; 91050039; -1; 65432377; 901518415; 291679355; 266896980; 583643318; 870332614; 843879711; 418651287; -1; -1; 758187114; 7844192; 933401742; 873555204; 228778207; -1; 969912263; 581238572; 315920606; -1; 896749116; -1; 907426959; 382354584; 968697825; -1; 390081316; -1; 285009321; 649011922; 462827259; 772480773; 298249175; 322656568; 647505122; -1; 89734885; 277631731; 728301502; -1; -1; -1; -1; 627217699; 525475134; 780556248; -1; -1; 130808582; 153775054; -1; -1; -1; 785562491; -1; 270183368; 355344523; -1; 40233018; 207886370; -1; 761598640; -1; 736058520; 955829448; -1; -1; 732794429; -1; 934517835; 509586581; 689852783; -1; 801062673; -1; -1; -1; 444008819; -1; 416530525; 720324252; -1; 258880944; 821675617; 551773778; 688537313; 723822345; 601069651; 802597641; -1; 948954945; -1; 6791251; 380276831; 502027028; 532382112; 659414882; 977254338; 839619420; -1; 263858677; -1; -1; 282503052; 456481776; -1; 784256513; 369264719; -1; -1; 666104655; 170678394; 248553879; 770519454; -1; -1; 675280358; -1; 893360994; 884358372; 683269605; 341745204; 613714957; 472490252; 613590109; 281425713; -1; 390712608; 654014847; 311699872; 95732708; 430054585; -1; -1; 152584396; 985765686; -1; 419589077; 523901246; 189205538; 412185487; 43133660; 563275495; -1; 321881393; 842194272; -1; 810295944; -1; -1; -1; 446683797; 743390351; 64791252; -1; -1; 89112833; 279258036; 917775561; 759822550; 590174521; 139747850; 62556212; -1; 448982875; -1; 786724490; 540939814; -1; 73301353; 213649416; 577149136; 233953674; 618760232; -1; 556121218; 210595237; 845839902; -1; 818955509; 572278715; 836634876; 506676765; 607420869; 201764280; 748593120; 897794204; 76492258; 804164745; 855404581; -1; 569278917; 409840354; -1; 232995477; -1; 613492159; -1; 114061317; 356825287; -1; 449514451; 1024708; 61825330; -1; 806640542; 217275344; 368020060; 398393933; 812151719; 959538449; -1; 419532802; 972444920; 766082759; -1; 873813180; -1; 419917461; -1; 907178357; -1; 26617456; 669331440; 750563152; -1; 579120449; 195655907; 870083248; 40927902; 214213978; -1; 424123328; -1; -1; 11325555; 539108068; 974591984; 881897227; 440727104; 340768902; -1; -1; 565530050; 789305445; 967509347; 834649127; -1; 884306115; 302157053; -1; 930375287; -1; -1; 867975751; 225214580; 652646874; 28396655; 643727742; 961718963; 191533285; 644151854; 504254946; 389196046; -1; -1; 629812912; 869557423; -1; -1; -1; 391239928; 570157647; 378585644; 947846927; -1; -1; 48145670; 45428233; -1; -1; 635059715; -1; 361856282; 738002085; 496903286; -1; 615608832; 834744958; -1; 440699584; -1; -1; -1; 226972805; 194087046; -1; -1; 291622464; 528022443; 435099377; 677654810; -1; 855329644; 581118471; 174040108; 57090069; 796517303; -1; 240348425; 273303193; -1; -1; -1; 832841401; -1; -1; -1; 636285307; 624957322; 293567935; -1; 291688613; 921311171; 780858168; -1; 30952907; -1; 41939308; 737002807; 673408307; -1; 628514459; -1; 640745038; 96589226; 784270174; 640178108; 771952446; 366593138; 749438265; -1; 922106492; 3876541; 84545721; 743389819; 469340070; 186391032; 12180274; 101573248; 392126319; 993395325; 878493265; 413954530; 329257691; 241157674; 146014010; -1; 247665765; 337695901; 748326222; 421182976; 163782711; -1; 239524467; -1; 657099544; -1; -1; -1; 717403490; -1; 187582371; -1; 839870741; -1; -1; 919429045; 800205368; 48109273; -1; 171851369; 244896517; 954600658; -1; 854582486; -1; 271131416; -1; 702536051; -1; 937469198; 795007937; 333852784; -1; 600349024; -1; 560118692; 231440098; 228471877; -1; 21908507; 560861355; 504038944; 694031979; -1; -1; 68684443; 942167850; 728496756; 595158469; -1; -1; 321712973; 956932389; 886131728; -1; 511538752; 615494506; 931755278; -1; 546883536; -1; 301211009; 596601895; 634246297; 129222263; -1; -1; 891793390; -1; 661402230; 733649222; 137569929; 726934924; 850521883; -1; -1; 467880279; 807461048; 907005341; -1; 918722367; -1; 165177331; 432767911; 76767854; -1; -1; -1; 29764335; 703769610; 939456497; -1; 833088555; 761611681; 678408337; 603351979; 899268127; -1; -1; 323264461; -1; 856381397; 640149225; 441158771; -1; 675639407; -1; 538389626; 522329991; -1; 269363138; -1; 796827463; 921945976; -1; 621643910; -1; 13740346; 80404968; 992625124; -1; 964289804; 922603235; 635951550; 343343393; 70219628; 872131411; 745900621; 620098437; 866996725; -1; -1; 55162796; -1; -1; 633366493; -1; -1; 460124597; 95036048; -1; -1; -1; 157853698; -1; 261185268; 447256477; 487198246; 735097608; 391173953; 997149246; 732058528; 359398188; 236948880; 960620524; 864218773; 255042473; 440337541; -1; -1; -1; 513813147; 156741849; 578890601; 248815041; -1; 827548272; -1; 584146075; 730077291; -1; 274552951; 925723196; 521933644; 168714399; 298451626; -1; 237491477; -1; 847247583; 601579649; 681296618; 450857441; 117739410; -1; 102807869; -1; 489974046; 995951862; 896812225; 371588442; 684065150; 725741397; -1; 221187717; 458871463; 811916496; 21954586; -1; 745220999; -1; 279490095; 700589876; 956108179; 40985001; 337323959; 124396998; -1; 202311817; 1774064; 447521580; -1; 693826107; -1; 312486; 28586608; -1; 199651969; 10866820; -1; 160365434; 787656513; 339986571; 117560079; 659824840; -1; 305542257; 625805569; 172125498; 392999996; -1; 403217834; -1; 952019901; 590480592; -1; 513246817; 23434608; 389862768; 190525613; 865272708; -1; -1; 183772811; 60563507; 218738714; -1; 608299554; -1; -1; 196495829; 188746599; -1; -1; 147988081; -1; -1; 835403351; 263862139; -1; -1; -1; 295236899; 162119215; 309952991; 576947152; 883842777; 292787906; 146834603; 99485434; 81699217; 68473622; 388542261; 819681366; -1; 940186433; 727574823; -1; 458355172; -1; -1; 660478559; 802344802; -1; 998886392; 790640265; 821099141; 454394151; -1; -1; 607027721; 977151718; 484927791; 357019726; 824184374; 816930400; 273137047; 44681475; -1; 612651308; 505064488; 750357253; 502094198; -1; 769560329; 350011891; -1; 383072268; 957739897; -1; 605095274; 78787842; 28987135; 104133333; 141189271; 352185730; 451466056; 788277820; 75108439; 717369416; 279346714; 438640731; 480147960; 433213760; -1; 793250749; -1; 514284521; -1; 904938656; 986609870; 941317126; 491031472; 527737757; 522847419; 42898615; -1; 706079956; 921613185; 843457735; 396008123; 410726666; -1; 855721846; -1; 309225494; -1; 607086031; -1; 518726441; -1; 258064956; 281243894; 335856671; 727997562; -1; 812436660; 985991350; 158755693; 421585066; -1; 317635847; 657211881; 556034252; 29339195; 42222883; -1; 789411862; 573154832; 652152753; -1; -1; -1; 349249956; -1; 20664718; 665821327; 119561532; 906668729; 763460330; 446895900; 70131248; 238012749; 124570484; 161063561; -1; 723020447; 434201087; -1; -1; 978519279; 689134165; 786747234; -1; -1; -1; 121252967; -1; -1; 79447792; 30713953; 165578485; 736706771; 707073190; 684941470; 398728320; -1; 31681487; -1; -1; -1; -1; -1; -1; 982672150; 49014504; 745822539; 259842036; 439139409; -1; 68379073; 700991171; 210023369; 835559983; 425930323; 258214603; -1; 477243720; 110557182; 781163098; 694584074; 995164870; 635271684; 111425676; 298559070; 808206068; 519002975; 75312577; -1; 925463549; 420781736; -1; 220086815; -1; -1; 386956124; 639034599; 124096233; -1; -1; 567040867; 894256053; -1; 521120776; -1; 89027998; 406453535; -1; 820174270; 866858077; -1; 425114151; -1; -1; 868827617; -1; 20138008; -1; 113962055; 339843377; -1; -1; -1; 1645598; 102973020; -1; -1; 98398659; -1; 95937407; 990764730; 750524330; 553277573; 8572919; -1; -1; 871575235; 984086663; -1; -1; 221140326; 183461668; 47925222; -1; 247767356; -1; 888862729; 876860680; 534422021; 808067819; 245230167; 249553287; 791010942; 446440018; 979373145; 840177889; 611405228; -1; -1; 890517863; -1; 412624835; -1; 240533176; 433521397; 314178537; 728826836; 256729959; 993035518; -1; -1; 805821482; 8497740; -1; -1; 448975409; 685026599; 920284290; 357443529; -1; 914615112; 459965550; 871612968; 493944804; 377584069; 156378146; 950015691; -1; 652350919; 93321546; 779488024; 480260638; -1; 927899659; 56365622; -1; -1; -1; 743648754; -1; 906527097; -1; 605731467; -1; -1; 948948119; 397620124; 94599122; 822367286; 196038072; -1; 153215744; 796367539; -1; 282494152; 455984941; 186033216; 24628727; 678678579; 63816107; 806671527; -1; 831148722; 906790406; -1; 475365557; -1; 717040797; 544223488; 458756977; -1; 145786986; 68043232; -1; 475198182; 207570540; 226980560; 69121646; 136586259; 535798151; 248645206; -1; -1; 474958792; 545143351; 820376844; 239927799; 856672681; 936835091; 897547174; 624232587; -1; -1; 825573341; 582073056; -1; 1672949; -1; 67561706; 563746005; 705074412; -1; 93428907; 453724318; 605672535; 146137665; 806865632; 929300838; -1; 408049964; -1; 60316114; -1; 511515618; 767343197; -1; 245634423; -1; 535398628; 868986751; 571339545; 477858590; 733972979; 730275292; 619903500; -1; 848643989; 123598250; 666038553; 206250495; -1; 809017945; 824377915; 608233466; 871867777; 689612678; 269766626; -1; -1; 659886500; 914377838; 706075556; 724059974; 53190485; 286957455; 460115496; 752275395; 477705405; 125237448; 373449501; 944826687; 787949844; -1; -1; 533344513; 892471714; -1; 222575886; 397051477; -1; -1; 834354763; -1; 643150479; 405482310; 922071162; -1; -1; 503168155; -1; 99333590; 972191134; -1; -1; 672295293; -1; 191048161; 510347148; -1; 928452191; -1; 93027556; 500614753; 919671445; 98959936; 494303841; 711437442; 994075279; -1; 175550450; -1; 693118591; 759243529; -1; 814454049; 901524387; 509430183; 177781064; 463850610; -1; 785724057; 890108364; 787517582; 653425366; 104097705; 731789933; 520935440; -1; 164747862; 650586909; -1; 74517166; 748299285; -1; -1; 422884928; 91853698; 974975209; -1; 825001638; 62672314; 703471597; 895116754; 202269626; -1; -1; -1; 670489109; 979007271; -1; 239303707; -1; -1; 797248201; 210595146; 213221315; 185079949; 287579665; 194521341; -1; 318327508; 703078418; 316331109; -1; -1; -1; 980660211; -1; 978018138; 351756034; 369932288; 778573445; 992582260; 693255266; 47080062; 794201226; 459339528; 493688510; 700290982; 806580205; -1; -1; 549616496; 662384915; -1; -1; 140078660; -1; 849720221; 193303102; 860399187; 726158937; -1; 96117503; 308182671; 414008808; 918822107; 752256474; 711800752; 608882141; 677442440; -1; 594262476; -1; 86564001; 584392206; 151571249; 832750424; -1; 325712237; -1; -1; 290054931; 424460908; 795552426; 680676375; 759884100; -1; -1; -1; 525519056; -1; 235285157; 62281974; 557120892; 138596742; 930548802; 301074102; 542885043; 251095434; -1; 188755033; 750740366; 249050467; 641052012; 446171202; 204937280; 825645650; 714552359; -1; -1; 719234205; -1; 166473107; -1; 958647590; 63390024; 715299940; -1; 107548051; 508968423; 267444975; 697638567; 1869438; -1; -1; 26185459; 415912891; 343451405; 220012743; 163339057; 81195691; 972116264; -1; 748063394; 674692402; -1; -1; 146548445; 655636685; 131849497; 689481654; -1; 244241921; -1; -1; 459019693; 539990417; -1; 934060383; 523809802; 662756961; -1; -1; 744106781; -1; 444997868; 292116487; 359494016; 205097927; -1; 334091786; 288456792; 916947004; -1; -1; -1; 173796237; 716883158; 922832032; -1; 667407279; -1; -1; 60203693; -1; 832493058; -1; -1; -1; 342606149; -1; 434565753; 369111536; -1; 802475093; 63551022; -1; 90968964; 506176876; -1; 862892134; 496291543; 839973319; -1; 321324030; 748315519; 969437105; 562730101; 25125863; 646983140; 925039325; 965414256; 33697192; 48666217; 676919720; 704204292; -1; 210984486; 408006322; 792826891; 772192477; 175294684; 741879147; 61914593; 693018510; 303262564; 512396979; -1; 63550955; 295854218; 193202608; -1; 636497940; 428070633; -1; -1; 289054958; 176542482; -1; 196185893; 115509194; 977525054; -1; -1; 267737118; 690318803; 358911168; -1; 152179137; 404075575; 503680216; 413382209; -1; -1; -1; 107331990; -1; 932972708; 757996406; -1; -1; 901040811; 873225109; 13232013; 234860317; 888528343; -1; -1; 264000210; 995260301; -1; -1; 556034851; 561330537; -1; 40364412; -1; -1; -1; 43971751; -1; 748835451; -1; 34070149; 488718556; 80482836; 208544294; 146906517; -1; -1; 252502811; 40717418; 675095369; 94472068; 523218131; -1; 12212048; 157613161; 161783928; 717131604; 220400158; 362017429; 94224332; -1; 502420755; 261440904; -1; 490641709; 114115339; 639834198; -1; -1; 776371121; -1; -1; 501816587; 832263544; 350175972; -1; 964024067; -1; 396436126; 729835146; 241447132; -1; 583576189; 198464788; -1; -1; -1; 276818270; 640034038; -1; 893100935; 433004781; -1; 303144657; 742614820; 512762348; 483406936; 802727345; 927004485; 126452376; -1; 586390435; 920057089; 832115362; 894870709; -1; 393474028; 452145905; -1; 360286617; 302944728; 93097199; 840247741; 785904924; 936960672; 892042912; -1; 247516513; 922131599; -1; 535717990; 758019222; 956855930; 818643272; 347175098; 380216820; 23499788; 409011694; -1; -1; -1; 785705597; -1; 1690218; 429718743; 756757420; 769906293; 296015920; 556024803; 183548551; -1; 730384123; 430240308; 363669099; 513080407; 230115405; -1; 684083630; 650913680; 664700423; -1; 937283173; 76698289; 361388227; 878923357; 28780161; 109133682; 60709509; -1; -1; -1; 394940197; 797237849; 984475136; 720052328; 213634305; -1; 349714266; 421681159; 550793056; 526365139; 499507278; -1; 39977080; 177341081; 570085875; -1; 456838427; 397596899; 630749793; -1; -1; 269838870; -1; 841609825; 161761703; 364199070; 453121409; 123985118; 411224883; -1; -1; 525690939; -1; 520535004; 871099577; 496841816; -1; -1; -1; 313208219; 288577352; -1; 793839732; 341885293; -1; 761961588; 594270749; 315850402; -1; 26298934; -1; -1; 29695141; 725959396; -1; 354931720; 741560715; -1; 938947744; 545422950; -1; 350920985; 797304432; -1; -1; 409855418; 900208137; 357659574; 466412964; 576520158; 814534411; -1; 811480340; -1; -1; 122104306; 35948091; 348157981; 523367815; 719735053; 137115338; 408057955; -1; -1; 472917622; -1; 135912842; 658669789; -1; -1; 341601634; 570982376; 261558225; 307158701; 874655337; 68111259; -1; -1; 265164650; -1; 809413718; 599513685; 417120664; -1; -1; 675152514; 556512466; 420786309; 314229712; 577590365; -1; 944909384; 611097366; -1; -1; -1; 633412065; 714786923; -1; 767269181; -1; -1; 283207891; -1; 911625070; -1; -1; 295042995; -1; -1; -1; 768279323; 931246139; 832984209; 251902660; 638142785; -1; 742553173; 237235967; 592416780; 955610091; 848920585; -1; 899146595; 911769535; -1; 750212115; 724271004; -1; 886918351; -1; 516071780; -1; 25860784; 274120250; 756676025; 578562691; 659441050; -1; 733099495; 751485799; -1; 163564672; 200981903; 480679255; 312492109; 168274088; 777860720; 628617262; 334128147; 548469133; 452723430; -1; -1; 510381252; -1; 821044830; -1; 894907432; -1; -1; 607609579; 43363710; -1; 679899950; 800608461; 295251816; 881248878; 796834216; 925302670; 86621585; -1; -1; 840322473; 572127019; 725677672; 502676630; 984686272; -1; 639230257; -1; 845075616; 738635597; -1; 932732627; 664632215; 944533519; 139645239; 203028595; 944293718; 912399466; -1; 551748512; -1; -1; 106732316; 638648196; -1; 770797580; 823222421; 242066965; 814526686; 69552724; 197347222; 995345021; -1; 332811376; -1; 146777664; 389515093; -1; -1; -1; -1; -1; 725260785; 634993623; 486317244; 251841020; -1; 126327498; 738488747; 309171490; -1; 857930689; -1; 72305177; -1; -1; 230050705; 865359769; 242827665; 779851967; 670847115; -1; -1; 623184061; 202573657; 428956079; -1; 191152945; -1; 169275740; 195535678; 700240996; 181003908; 99768080; -1; -1; 213390584; -1; 552734329; -1; 845006945; 619180598; -1; 674633991; 966420845; -1; 645143113; 405122978; 971095364; 880002578; -1; 84791230; -1; 901297467; 76653453; 254738985; 653108395; 901220468; 20458806; 579051489; -1; 580045127; 52669060; 209509653; -1; 642736579; 438880762; 769411099; 979068257; -1; -1; 510552965; 574550776; 575022683; 182497094; 299932662; 545512960; 828624585; -1; 679547114; 496383369; 38464253; 935270035; 404408464; 206554313; 711680398; 629578335; 603624436; 353385759; 93445656; 674419567; 729482920; 211760563; 108889521; -1; 696012085; -1; -1; 168109362; 564219320; 704208305; 827865518; 717468119; 609160825; -1; -1; 584157072; 686742571; -1; 425871141; 485544139; -1; -1; -1; 984449831; 139481066; 366786941; -1; -1; 49463258; 259914961; 834187330; 668190282; 435336148; 703187433; 392312492; -1; 748386530; -1; 607013903; 291744681; -1; 991993173; 251611725; -1; 239321026; 712850250; -1; 381454105; 314065340; -1; 300692491; 561996830; 580478809; -1; 114705569; -1; -1; 874271843; 749955846; -1; 575056226; 199606283; -1; -1; 210569772; 829590260; 549578726; 622927810; 73996978; -1; 285187422; -1; -1; 69574179; 180964449; 109150673; 13154639; 731158049; 210622707; 809844063; -1; -1; 329018614; 682081529; 258251313; 71886573; 747934221; -1; 582068481; -1; 343619449; -1; -1; 197428406; 689853884; 505462903; 480497703; 722352683; -1; -1; 619027756; 890335842; 981546157; 630139984; -1; 366778665; 807515806; 838190244; 22220819; -1; -1; 234213155; -1; 837343790; 787378264; 707902045; -1; -1; 741781088; 302204972; 570037029; 12837123; 313781416; 472200069; 15617579; -1; 272738987; 214472109; 974039741; -1; 842543420; 465434952; -1; 453850048; -1; -1; 547740782; 900898349; 958987469; -1; 743793462; 506498529; 460665536; 32600870; 27714197; -1; -1; 955438864; 670362804; 421895454; -1; 752344878; -1; 820538595; -1; 286600536; -1; 900572944; 74499864; 454943191; -1; 643189660; 821957568; 821761301; 7917581; 326162176; -1; 263086278; 792497779; 981119537; 425748304; -1; 825231622; 11041508; 36775798; 846770114; 760087424; -1; 650026463; 151006182; -1; 842494452; 10275906; 683391383; 977978744; 309662005; 42854753; -1; 371510929; 304905862; 685221237; 329112359; 874880185; 195810923; -1; 669338547; 58344485; 772760795; 678081091; 582746109; 821958850; 616548567; -1; -1; -1; 266476605; 439516711; -1; -1; -1; 85452826; 11986310; 529476599; -1; 597468867; -1; -1; 236175764; 57910570; 841523741; 345740719; 893650257; 102409401; -1; -1; 652100069; 735599602; 434833922; 639380096; 229960639; 194197592; 113653801; 82514167; 191846889; 724426316; 332794021; 629102689; 304531700; 403659246; 62909345; -1; 657665424; 163647910; 486206199; 230077658; 956122258; 508435538; 466328776; 603314795; 589129434; -1; 614999907; 115427404; -1; -1; -1; -1; -1; 713391627; 994981038; 664754256; 950040022; -1; 480570767; 790744770; 25433369; -1; -1; -1; -1; 322471796; 150467066; 887550874; 904925821; -1; -1; -1; 500772330; 51771729; 53737723; 124110981; 561926514; -1; 372468660; -1; 714809686; 920624733; 267787929; 522534969; -1; 919385850; -1; 470354889; 761289460; 895398203; 330608265; -1; -1; 631345002; 294462113; 527919530; -1; 661921727; 805967025; -1; -1; 649758942; 970230689; -1; 93505513; 975715921; 663421399; 178141404; 714166871; 830393221; 532049601; 38097759; 967335515; 489264020; 127708556; 738661733; 419701551; 549325735; -1; 117522827; 378763586; 17782664; 132881791; -1; 664885510; -1; -1; 242295731; -1; 420498376; 920961906; 622986848; 972321212; 289081240; 234685525; 408594472; 274327142; -1; 904790170; 390044427; -1; 270027063; -1; 825314827; 997586785; 572797909; -1; 456411072; 840141143; -1; -1; -1; 982417252; 258278680; 900352878; 252969202; -1; -1; -1; 865579817; 462814904; 919734209; 319580795; -1; 567458576; 992525884; 83051249; -1; -1; 864660977; 944560889; 23216190; 49802605; -1; 900749698; -1; 617930564; 922372135; 952057933; 699350478; 335563444; 885478583; 953092566; -1; 179251126; 166528766; 549517293; 940967769; 225194801; -1; -1; 318836733; 356209758; -1; 962688861; -1; 77459028; 672357421; 369463184; 93368031; 753276002; 510010183; 356193754; 283918618; 143753122; -1; -1; -1; 664989355; 762023258; 150438702; 881785932; -1; -1; 893988266; 414886556; 953105966; -1; -1; -1; 44764570; -1; -1; 6657510; 948324081; 362171749; 21720530; 450939816; 228579980; -1; 108657003; 460237461; 254073741; -1; -1; -1; 376794976; -1; -1; 279508955; 807475430; 828038833; 794009676; 481941838; 220431570; 164156178; 500800105; 988714269; 553970396; -1; 666385178; -1; 270649145; -1; 172004960; 643430515; 56793978; 84683432; 348279485; 839119709; 465789958; 429668891; -1; -1; 605296107; 262823192; 645544393; -1; -1; 735030295; 427548834; -1; 946666197; 881410971; 222904180; 402839553; 286213560; 229012327; 887146864; 686589583; 15963435; 557067512; 177656902; 630968791; 282010173; 180612212; 141549565; 450932357; 895719818; 453294675; 15125937; -1; 63896598; 50909283; 113725012; 10943189; -1; 945419505; 792564057; 36829513; -1; -1; 923152279; -1; 364515466; -1; -1; 654909919; 593941591; 203412311; -1; 746581524; -1; 217276950; -1; 966113409; -1; -1; -1; 217762585; 451902888; 874984631; 630966204; -1; -1; -1; -1; 780126585; 947343170; 195801504; 863038536; 798231967; 934523643; 938865601; 833947966; 839923216; 138420814; 912909909; 73751471; 793854391; 75883821; 972688469; -1; 629058854; 252625596; 449261255; 689357562; 543145929; 6609389; 3635008; 814953815; 506576276; 886617679; 382457738; 917419112; -1; 132868692; 170201606; 977375971; 56339595; -1; -1; 171494840; 604978308; -1; -1; 174322929; 262257937; -1; 498000399; 751825252; 210381532; -1; -1; 472967076; 708048638; -1; 431116794; 609608954; 356327929; 329395225; 415491002; 14021976; 355312021; 72952969; 306137013; 859191686; -1; 758563964; -1; 227701499; 344574852; -1; 394667435; -1; 79517785; 484943174; 23661995; 577884727; 585894852; 346924187; 125316430; -1; 880851672; 479534572; 900329405; -1; 378634432; 982987522; 384226277; 45827334; -1; 979481375; -1; -1; -1; 344612869; 521263840; 566096143; -1; 593392108; 358313053; -1; 151482299; -1; 143443825; 287668201; 621890611; 816107110; -1; -1; 141254003; 292744691; 469568762; -1; 165795731; 616214930; 388053644; 89337400; -1; 488263002; 911572952; -1; 27869284; 27232943; -1; 158580953; 866687687; 301614259; -1; -1; 855990226; 890960158; 243548594; 14044258; 178210749; 135737096; 284466304; -1; -1; 217847179; 532827840; 776892458; -1; 618713690; 745939942; -1; 880231289; 487651644; 422592843; 320141003; -1; -1; 805293928; 281136990; 250599800; 361614483; -1; 314356942; -1; -1; 272128789; 514689058; 607974667; 753121848; -1; -1; 262387306; 489184262; 407375072; 347047344; 898746724; 818133676; 314057652; 297392467; 166341245; -1; 509656955; 537055036; -1; 190496149; 862145282; -1; -1; 978017192; 8813685; 438958314; 106645597; 761769397; 130975352; 920616640; -1; -1; 280528777; 659240165; -1; -1; 777867048; 415324492; 170972707; 434177155; 996340500; 603713237; 929137709; 365412828; -1; 190238254; 126508020; 682336192; 805531073; 616876422; 417523727; -1; 285817539; 461030740; 338091869; 787647641; 792386617; -1; 639610886; 253125961; -1; 85578047; 646329628; 930958950; -1; 920318915; 358925998; 511377194; -1; 41807067; 26124562; 908073954; 826588688; -1; 684920389; -1; 770767095; 430427541; 990270856; 827689221; 185758898; 969338752; -1; 472711750; 563426236; 93651100; 834467505; 439190878; 337387051; 818470280; 731289245; -1; 23432231; 232758739; 634745811; 637464997; -1; 566769897; 542296542; 512833667; 764178297; -1; 732277945; 612628920; -1; 59591220; 921872752; -1; -1; 100407950; -1; 920056861; 402666864; -1; -1; 476696739; -1; -1; 30791260; 448652915; -1; 627283364; 255786068; 427334920; -1; -1; 567777203; -1; -1; 824954757; 855441128; -1; -1; -1; -1; 555821918; 246741051; 584609343; -1; -1; 964172564; 15541815; -1; 388371111; -1; 686078460; 727963792; -1; 94085027; -1; 691879728; 978887651; 534617666; 918767019; 11522611; 54782866; -1; 150281675; 767346424; 120057166; 345874126; 822972533; 612354873; 592153594; -1; 572736430; 134950731; 469729643; 211583964; 144589103; 512623443; -1; 973785726; 276487673; -1; 979034185; 140278679; 162493796; 534280445; -1; 896431331; 129622425; -1; 169650114; -1; 412832516; 659829290; 637619263; 653767954; 158433757; 724548739; 713721452; 396255389; 652232670; 248688480; 447008318; 334156058; -1; 627844603; -1; 703335472; 293769167; 283146609; 443549456; 168412542; 356144228; -1; 929344045; 156767620; 750577784; -1; -1; -1; 621698066; -1; -1; 164877274; -1; -1; -1; -1; 934190523; 133702328; 991263949; 817496057; 812714413; -1; 627883182; -1; -1; -1; 332449017; 591613641; -1; -1; -1; 524839060; -1; 345891001; 304614531; -1; 317611688; 189348294; 373363607; -1; -1; 938264945; 298708653; 70938638; -1; 392137859; 994295273; -1; 791987753; 799785169; 939469963; -1; 964766559; -1; 647405137; 189030102; 991630181; -1; 263363294; 85360927; 956122731; 194656850; 358366245; 781479862; 386986800; -1; -1; -1; 101290253; -1; -1; 322868285; -1; 64617539; 91460238; -1; -1; 934204233; 276253003; 459508202; -1; 50018364; 199237321; -1; -1; 599446204; 591464993; 777915658; -1; 789930337; 337857824; -1; 563118214; -1; 299998548; 697202137; 634669420; 553043227; -1; 833110131; -1; 329576782; 163136554; 710866272; 845442158; -1; -1; 929234549; -1; -1; -1; -1; -1; 228610920; 382397037; 126776990; -1; -1; -1; -1; -1; -1; -1; 610704348; -1; 436842862; -1; 732947044; 443797034; -1; -1; 190136637; 722380835; 678012511; -1; 897076709; 560450791; -1; -1; 276954320; 53180246; 652183964; 696407645; 940439891; 403247273; 486657568; -1; 843810884; -1; 698354457; -1; 614069564; -1; -1; 820657129; -1; 850821091; 778077696; 336101960; 331633522; 928935388; 458621628; -1; -1; -1; -1; 899457422; 920501861; -1; 518427847; -1; -1; 680024135; 341421020; 660268548; 565948115; 195685778; 536639731; 638500759; 471255678; 486969171; -1; 861010585; -1; 994742661; 314633894; 865421914; 138915298; -1; 632853491; -1; 726917069; 217565330; 934241122; -1; -1; 445503487; 959709369; 897212176; 991319579; -1; -1; 756332286; 87301006; 557162446; 51152621; 694767552; 53288749; 897486739; -1; -1; 737881340; 142784018; 811903447; 707587414; -1; 594769615; 37100455; 680514595; 491244920; -1; 783815098; 509698411; -1; 519638984; -1; 425015620; 86861561; 683016225; -1; 910310528; -1; -1; 52975291; 142406860; 553294833; 707418643; 224032027; -1; 438385216; -1; 816009957; 790061773; 455567050; 355426603; -1; 841606901; 639633087; 437462321; 813112710; 301778060; 243227496; -1; 960278270; 525074287; 263849340; 356488907; -1; 700937055; -1; 706505023; 469159264; 920622903; 274698323; 750217574; 290162803; 797858886; 765558915; -1; 639588314; -1; 652221127; 672218377; 441306763; 450496128; 85721488; -1; 334461679; 29449284; 432060940; 605001429; 159313852; 885350552; 482027008; -1; 882599937; 674306682; 813080402; 356833197; 973313574; 88348844; 453133284; 852597961; 269548734; -1; 40614167; -1; -1; 66969695; 184302686; -1; -1; 494171315; -1; 926135230; -1; 831778076; -1; -1; 968174269; 76848435; 965165087; -1; -1; -1; -1; 295100205; 388199845; 318058367; 192176007; -1; 80102121; -1; 220628842; 471897443; 451550261; 223621528; 732737615; 822919918; 652186834; 187371116; -1; 925080273; 918569574; -1; 114987851; 701927241; 120852567; 99284282; 734220206; -1; 585929474; -1; 680198877; -1; -1; 443973300; 484361143; 88514562; 707081631; -1; 789215098; -1; -1; 366325602; 1684332; -1; 968764553; -1; 979020016; 729128750; -1; 303120626; 97484892; 725140727; -1; 746046111; 87323802; 586757152; 791177980; 434418174; 438641040; -1; 843816612; -1; -1; 326546469; 772522626; 720342856; 158158266; 325223770; 139019637; -1; -1; 710543868; 557272161; -1; -1; 764115023; -1; -1; 675817378; 787792492; -1; 29534507; 719103004; 330175406; 946929039; -1; 512704147; 314942323; 412899227; 540015145; 261081825; 95598059; -1; -1; 672672949; -1; -1; 278159437; 305197826; 247063258; 525345513; 517591612; 770230016; 528232064; 58285321; 791838959; 471262431; -1; -1; 836818012; 815593106; 702428461; 380231156; -1; 813957179; 885858395; 911842058; 739834423; 165427012; 641500073; 156528655; 473077629; 358950545; 997323272; 579581706; -1; -1; 950900936; 47795691; 745952295; 581542656; 117775286; 545629288; -1; -1; -1; 67226597; 867553485; 289067718; -1; -1; 210988077; 266389420; -1; -1; 109318097; 589678511; 361048111; 439689370; 521575957; -1; 537346679; 437264739; -1; 878940154; 250319259; 38532620; 509671211; -1; 453437816; 937825558; 400808369; 149630482; 734007041; -1; 588728588; -1; -1; -1; 473747177; 831036486; 974141308; 126211478; -1; 372196596; 972697712; 869964568; -1; 257843245; 41266699; 263438670; 48935214; -1; 75516936; 981159706; 286499532; 348589300; 764446383; 567149; -1; 310152126; -1; 792301679; 283095347; 283048942; -1; 707699424; -1; -1; 337069851; 244129608; -1; -1; 879249660; -1; 383769618; 433665166; 839074089; -1; -1; -1; 495147919; 143338021; 55512816; -1; -1; 129261928; 113188471; 482238322; 825677544; 813681539; 730281121; 830052425; 56494278; 292635012; -1; 492447765; 968087869; 26204381; 640491700; 966832726; -1; 230189290; 180873462; 728437424; 86881442; 405383588; -1; 868056589; 241397093; -1; -1; 194897390; 712515865; 753883549; -1; 531105898; 341897904; 677400508; 47084654; -1; 891748903; 298793218; 131309890; 786684336; 444218850; 947166767; 587025737; -1; 806694233; 608023733; -1; 142487558; -1; 289612898; -1; 528893235; 149767017; 647309312; 367189553; 526553843; 44636011; 670970900; -1; 694863361; 790615025; 838715462; 838017385; 865078258; 716853882; -1; 549392341; 477175982; 817130393; 696407769; 16218149; -1; 574252941; -1; 25034784; 24370312; 39121875; 572435097; 331220864; 166455869; -1; 670746688; 308977609; 166382236; -1; 946089947; -1; -1; 625289527; 201467954; 127407870; 819535900; 297040392; -1; -1; 128858260; 401708557; -1; 442294540; 569103165; 241681291; 17250273; 311527559; 54179910; 834976533; 953458736; 908058471; -1; 875229426; -1; 413608757; 922387321; 363751494; 377539228; 507342855; 86132048; 528275519; 674293402; -1; -1; 619586315; 682248213; 558811417; 261695622; 165913429; -1; 40743946; 389523343; 975810514; 884785551; 242821906; 674922594; -1; -1; 354473941; 472099673; 251363448; 284373612; -1; 489558508; 104753662; 914573108; -1; 652774537; 55555401; 522736560; 61978449; -1; -1; -1; -1; -1; 483300431; 239361729; 301639132; 560139333; 618586656; 660129206; 335513499; 232474440; -1; 99693540; 660654093; -1; -1; 855543010; 194140144; 968712609; -1; 14954961; -1; -1; 327324384; 361285151; 124987405; 608016660; 447330298; -1; 45475275; -1; 931525826; 360032931; 7483667; 893918553; -1; 487419932; 588104678; -1; 811591515; -1; 804579743; -1; 710486060; 298999275; 78915620; 265103012; -1; 892199979; 748955427; 422916922; 506806121; 655361592; 402327816; 120153780; 685508073; 935122191; 587595956; 662741720; 952873543; -1; 985734279; 418020694; 570110310; 283169977; 111393983; -1; 482124988; 409685626; 975941979; 404641810; 353421675; 128777307; 404034454; 786395341; 77587680; 981024538; 243633705; 201312742; 163652818; -1; 88830715; 259141238; 25061762; -1; -1; -1; -1; 312837958; 139197128; 858512382; 671451899; 775566025; 376607240; -1; 772632680; -1; 932864144; 526114569; 876087783; -1; 915867437; -1; 526776951; 588977742; 932520089; 111977191; -1; -1; -1; -1; -1; -1; 202545814; 8778311; 299775899; 558885699; 275321854; 733273928; 529949498; 517368714; -1; -1; 86818122; 124221691; -1; 805300772; 746425303; 192869101; 31539261; 888731916; 947954163; 221698423; 873730275; 296488018; -1; 999968190; 767043796; -1; 841392162; -1; 282808220; 773795457; 77647472; -1; -1; 853679704; 819615061; 102656024; 576228476; 466845057; 565006166; -1; 966002315; 130733829; 831934351; 800834254; 797438725; 129622672; 949549475; 869786195; 425792551; -1; 600414605; -1; 123556828; 63527129; 242073201; -1; -1; 68741515; -1; -1; 81682897; 914819273; 338701038; 877737312; -1; -1; 835073034; 714692021; -1; 95428734; 893879816; 578626815; 935839002; 95479029; 643956299; -1; 116791144; 364731976; -1; 657500620; -1; 141701972; 104494421; 435050572; 342318098; -1; -1; 219780303; 890004685; -1; 265591203; -1; -1; 256328066; 23265415; 7559896; -1; 268674889; -1; -1; 752462494; -1; 838306507; 564746772; 186398524; 549261782; -1; 86508271; 667295667; -1; 654078779; 427549142; 823342252; 61631470; 724042136; 211493417; 430990651; 347816689; 901028762; 448615084; 725800830; -1; 248225935; 64850541; 482508921; 384633836; 351784896; 599846297; 318934598; 759285699; 206098421; 488916414; 545780392; 575305669; -1; 74692904; 694987430; 663793768; -1; -1; 746766978; -1; 180142375; 783341872; 712960555; -1; -1; 306124816; 764090468; 451111282; 176422079; 281501429; 543086323; -1; 22630552; 681121705; 762310534; 285255534; 91939913; 111986392; 477263477; -1; -1; 912510246; 656046161; -1; 781950072; 87734306; 983773718; 471772175; -1; -1; 573527810; 398275903; 123272589; -1; 304747843; -1; 623043603; 342353935; -1; -1; 784758006; 668613526; 646258854; 452940393; -1; 334611555; 12845212; 526136970; 38564385; 845400395; 471844962; 316980092; 596231494; 577613571; -1; 396562090; 8751965; 254995228; 682129312; -1; 342897733; 415819041; 853319209; 484528557; 214150760; 662686104; 877648802; 247035227; 999159498; -1; 967439372; 596087222; 988676639; -1; -1; 123813886; -1; 200553213; -1; 438199054; 468421211; -1; -1; -1; 373283642; 441679000; 240835817; 680509283; 589490319; 22662933; 90090304; 850964671; 915676490; 649561893; 529776994; 566618187; 448977796; 605417052; 967359107; 140297539; 701403627; 793322143; 980841893; 84818670; 196739772; 436895359; 707721571; 127212534; 221879238; 938226923; -1; 841945357; 556419172; -1; 981169953; 93234559; 877950810; 769030078; 493813514; 72752437; 550959013; 520120549; 271472525; 918426036; 721375979; 676689851; -1; 229677835; -1; 400646783; 540077966; 538592446; 660793643; 235006215; 884275495; 381966729; -1; -1; 274559954; -1; 965751893; 410789994; -1; -1; -1; 285368138; 631321154; 548538476; -1; 752732675; 996542850; 353542620; 845056635; 104880080; 975822737; -1; 937805062; 572571191; -1; 435773747; 211377680; 344635052; 398042625; 686698971; -1; 755644959; 365454927; 979959548; -1; -1; 991277147; -1; 215675579; 892488561; 361707426; 582263481; -1; 68558596; -1; -1; 580052034; -1; -1; 201173776; 119110736; 162290179; 666899971; 118085236; 930588399; 544394814; 11510819; -1; 652845381; 430525400; 347398173; 874359348; -1; 24527721; -1; 327652313; -1; 395310802; 491142419; 853296137; 75793727; 288857762; -1; -1; 712542039; 504904402; 700122314; -1; 841987284; -1; -1; 581146139; 651320753; 195632616; 535959139; -1; -1; -1; -1; 481062598; 531054594; -1; 914042038; 280014398; 829915858; -1; 696367612; -1; -1; 662946148; 243028814; 725114302; -1; 336868591; 282744822; 75778768; 285983749; -1; 772601870; -1; 462988122; -1; -1; 335019951; 32998568; 290971060; 592414881; 220570193; 265337133; 289639784; 207181654; 531781004; 516734700; -1; 339112674; -1; 690870769; 195554803; -1; 880076227; -1; 370957769; 601803521; 328489355; 553103107; -1; 446486894; -1; 987007911; 263153053; 256097854; 708068074; 314556151; 113932339; 991339075; 354350178; 670441426; 105223073; -1; 503859085; 465228466; 238282116; -1; 596704288; 124789083; -1; -1; -1; -1; 195701219; 11946073; 192839921; 643355427; 187058672; -1; -1; -1; 627729549; 337133580; 841516253; 527238068; 503024094; 149881211; 24574224; -1; 184788216; 479929444; 862927973; -1; 627519429; 86273148; 783408762; 917612267; 900772268; 354316889; 885098624; 498905342; 477285560; 946087657; 457983337; 30919702; 106031104; -1; 632744715; 195542562; 688930253; 491156677; 115177027; 425611988; 636786617; 967935504; 374003655; -1; 707764087; -1; 338849207; -1; -1; 130862031; 666799145; -1; -1; 554917150; 596155147; 108511688; -1; -1; 227368016; 868732865; 123949333; 180324010; 740714837; 158588315; 127889614; 1885366; -1; 243703628; 102443418; 471093478; 659145413; 958202722; -1; -1; -1; 435577918; 215998112; 595289093; -1; 743573085; 788555206; 764745848; 443325268; 776000902; -1; 611027196; -1; 90061770; 809632866; 631126428; 263026168; 485249706; 299506089; 184664466; 200193502; 500784647; 877127381; -1; 44023875; 32096203; 572747278; 407073582; -1; 354218511; 745205429; 737833324; 130356724; 473117083; 241131657; 247383703; -1; 42669607; -1; -1; -1; 49426201; -1; 609733024; -1; 415013170; 109892887; 154927957; -1; 560842798; 120795843; -1; 636401601; 933638685; 318296700; 569412671; 861374139; 121554885; 585391641; 801829631; -1; 861370255; -1; 7160237; -1; -1; 456227685; -1; -1; 328516211; -1; 745755423; -1; 609690544; 139485623; 539093739; 970278368; -1; 505937075; 589521529; 938519919; 529746567; 201185283; 268660473; 376469152; 276758466; 673316505; 666954247; -1; 913552973; -1; 382660872; 14335126; 112514124; -1; -1; 754608918; 259384075; 532873377; -1; 256047811; -1; -1; -1; 586758799; -1; 733578812; -1; 250443624; 555225707; 669879992; 209799213; 539536569; -1; -1; 641118197; -1; 52149432; 78132485; 597038655; -1; 166733896; 863738224; -1; 158693102; 335237307; 177589888; 1182112; 237301831; -1; 253052132; 989953832; -1; 906137127; 987123076; 568899543; -1; -1; 948783466; 852182013; -1; -1; -1; 120194322; 739167856; -1; 428309613; 325326975; 536013259; 825070872; 355350764; 998011425; 755018891; 893085777; 831360966; -1; 637692986; 636368145; 927870864; 13432352; 57618654; 418953810; 480483211; -1; -1; -1; -1; 508185396; 407988064; 815104396; 823965588; 347302338; 995754653; 799916204; 935445042; 905745955; -1; -1; 239606378; 327868847; 112325183; -1; 91684653; -1; 238319967; -1; 998466640; 26371178; 142674249; 743647784; -1; 101045609; -1; 629959175; -1; 699482426; 806890600; 967119754; 490524950; 532729713; -1; -1; 838226554; 710072203; 824738604; 769746168; 254636277; -1; 47610989; 614425809; 773625614; -1; 810319205; 383752751; 489349626; -1; 2442933; -1; 247065935; 506441030; -1; 613978150; 980861556; 759051474; 791424678; 417197400; -1; -1; 325721367; 75374220; 726051708; 779630761; -1; 445561526; -1; -1; 799805749; 98715357; -1; 887323845; -1; 569041193; -1; 45057466; -1; 437272230; 466451639; 824177929; 108931686; 317320479; 560189442; 917138285; 228287829; -1; 526062265; 660814504; 153426286; 550519989; 603313845; 300035279; 764867344; 652764246; 301112005; -1; 623403921; 660371266; -1; 481015298; 646809564; -1; -1; 857067215; 180729649; 487925576; 815450050; 568071545; 691977989; 215810692; 688796325; 537946794; 415246300; 45152058; 141033498; 340379231; 786057852; 334628125; 33867035; 719904816; 459772155; -1; -1; -1; -1; 641158977; -1; -1; -1; 160266704; 343437132; 513156850; 38545387; 493258782; 888551705; -1; 772302071; -1; 731865951; -1; 157751328; 377678857; -1; 146300365; 764291533; 666779315; 591668905; 812897182; 55692371; 50001552; -1; 335431986; -1; -1; 21161066; -1; -1; 765614179; 90045362; 859375138; -1; 537803282; 116117165; 356469009; 964328775; -1; 815639360; 430246599; -1; 471741107; -1; 19084751; 795965433; 830605634; -1; 406288232; -1; -1; -1; -1; 609048546; -1; -1; -1; 717888278; 87468387; 733796278; 948901769; 976435531; -1; 467349286; 918672709; 734859769; 107393274; -1; 576876589; 325207947; -1; 538341291; 999515402; -1; -1; 940973146; -1; 682049683; -1; -1; -1; 455656298; 983582074; 397046976; -1; 511803304; 440436301; 51059867; -1; 441209374; 430374127; 79949365; -1; 956141601; 382621770; 423070292; 739004855; 784839530; 458226621; 808868292; -1; 944940834; 810890784; -1; 491449662; 529670566; -1; 869222750; 978553759; 626865806; 394597380; 533160804; 212679085; 15807428; 183911217; 463368720; -1; 585414373; 461600345; 246217053; 154393743; 679173006; 474505819; 611880010; 727417513; -1; -1; 378018515; -1; 135788977; 892854727; 76409315; 375501609; -1; -1; 482660396; 414327258; 744336837; 571949339; 551291853; 330583323; 46116727; 827545357; 622570975; 740801392; -1; -1; 863487256; 92111110; -1; -1; 672446296; 639339508; 390078217; -1; 948572324; 362785715; 972095989; -1; 100290460; 157611339; 179737707; 798602166; 42283208; 547479349; 86375404; 457274547; 900943033; 600004799; -1; 702784625; 823545987; 646817139; 406091381; 767820508; -1; 410887497; 3600581; 932645680; 832491508; 102644226; 18951162; 912439016; 961538241; -1; 886489714; 412084578; 183794148; -1; 439297755; 760785853; 912053889; 649725454; 70847708; 335113243; 511617053; 90241939; 715135185; 566352059; 913201436; 288419044; 834745038; 521255692; 952280870; 847649037; 805630322; 537894097; 473197108; 192900983; 696376935; 493405992; -1; -1; 225883674; -1; -1; 85471504; -1; 914180559; 242694836; 559119932; -1; 132799723; 983495367; 139086044; 900468723; 648632251; 906431466; 914963874; 443514439; 493701667; 892294926; -1; 495978990; -1; 97756946; -1; 116060501; 876109783; 116788187; -1; -1; 829662210; 410120649; 979513372; -1; 41771213; 329841271; 710350110; -1; -1; -1; 821853127; 660091572; -1; 236048219; 165906935; 963852438; 903520244; 499219006; 174658664; -1; -1; 370227381; 969386121; 930583383; 759862189; 167951621; 265068492; 610040726; -1; 854386732; 655708548; 145024223; 353780645; 480649302; 424125365; 325203374; 848630484; 480807639; 437850494; 61271963; 600979590; 825180041; -1; 70726488; 741085344; 76313505; 739594722; 423044399; -1; 903862355; 934620292; 434965458; 4213170; 835222781; 937078877; 809047862; 943834848; 237264263; 774251690; 732735922; 578333754; 281308226; 460933511; -1; 653062348; 619544011; 300273651; -1; -1; 167220267; 804657460; 845777391; 587350267; -1; 856574621; 865078689; -1; 262075364; 778353440; 679332011; 201214243; 922479787; 37748520; 817448084; 723908835; -1; -1; -1; 960672810; 28441500; 959059937; 76929146; 383863496; 520844475; 872752016; -1; 670361638; 989575133; 536772521; 976154760; 981890615; 865093172; 13629884; 267814931; -1; 28727570; 837336365; -1; 356537223; -1; 671764515; 147903395; 619105241; 8298003; 873842236; 923531276; 927881091; 705586372; -1; 702750387; 743939053; 620263743; -1; 76724247; -1; -1; 939718608; 39261677; 746073317; 439586954; 732338154; -1; -1; 381581100; 42157453; -1; 982494876; 771133704; 786932306; 409481168; -1; -1; 484168081; -1; 672421877; 546212678; -1; -1; 629823963; -1; 502048312; 651378825; -1; 554672248; 601559596; -1; -1; 91042126; 460280881; 365465987; -1; 264791345; 843049742; 501574140; 763154400; 667571535; 846635840; 35779933; -1; -1; 737350680; -1; 663511225; 377662840; 178789725; 500436304; -1; -1; -1; 625167642; 686849671; -1; -1; 532755838; 497614471; 878666311; -1; -1; 110604064; 23205022; -1; -1; 480754646; 900235140; 960864937; -1; -1; -1; -1; -1; -1; 565345381; -1; 130286754; -1; -1; 791106875; -1; 846471629; 416307641; 438349697; 382903956; -1; -1; -1; 864498877; 701928862; -1; -1; 286850639; -1; 410042727; 728423940; 935027694; 801687826; -1; 371188685; 357845877; 161479685; -1; 891721430; 408944855; 212957848; -1; 411968304; 987197380; 860710914; 286717851; 789961208; 431013850; -1; 471162085; -1; 48756733; 432414193; 840276885; 53515272; 97858082; 936003074; -1; -1; -1; 793116278; 7894171; 928071534; -1; -1; 701281659; 499417366; 205648532; -1; 193031537; 790873038; 606057151; -1; 861444721; 530406674; 128847764; 429469504; 146623841; 319510203; 996731743; 869685848; -1; -1; 724525775; 685933781; 693641238; 5892074; 484457976; 814168676; -1; -1; 83395686; 183380715; 713208201; 273130163; 329568796; 681658043; -1; -1; 508694914; 965798184; 702111733; -1; 300445708; 744264788; 969398954; 442775262; -1; 797457902; 973908777; 515390626; -1; 714427791; 680803568; -1; 586558865; -1; 114757396; -1; -1; -1; 266798357; 410422411; -1; 621918272; -1; -1; -1; 569595076; -1; -1; -1; 123144051; -1; -1; 240024832; 456948839; 39774860; 583997013; 171644142; -1; 681692073; -1; 721131788; 747356450; 310057921; 743772341; 162106413; 970900244; -1; 344533800; 577056215; 458576043; 339383638; 881975296; 650649769; -1; -1; 568295518; -1; -1; 323506251; -1; 683195053; 74415731; 354592455; 534162749; -1; -1; 459222790; 877411336; 753935260; 396606444; -1; -1; 903329350; -1; 647604729; 633225538; 548758826; 445676331; -1; 869986048; 598783203; 763705130; -1; 539566169; -1; 785093547; -1; 61581282; 435000749; 35294759; -1; 881653788; -1; 938589322; 123765132; 454708966; 266262724; -1; -1; 561502535; 588153040; 300575794; 837152465; 607365981; -1; -1; -1; 144573427; 116552983; 844535642; 627390166; -1; -1; 279071960; 705392265; 713855401; -1; -1; 273511945; -1; -1; -1; -1; -1; 405095202; 382873415; -1; 528725135; 248429422; 486511338; 635858880; 127782103; 488005445; 894127210; 438312844; 875290416; 180782775; 303114803; 858156236; 475443451; 438356142; -1; 403194468; 993320694; -1; 178773970; -1; 439471868; -1; -1; 559084047; 385347839; 262560697; -1; -1; -1; -1; -1; 323626462; 188873254; 742713182; 183321727; 524353659; 505340556; -1; 207580599; 992456818; 787838564; 64922590; 73784923; -1; -1; 229013845; 570683596; -1; 526861867; 937804045; -1; 714544433; 860741308; 886694903; 367498060; -1; 679994594; 997668078; 947257582; 591150227; 445081891; 240340439; 868340849; 261185463; -1; 756756315; 75309539; -1; -1; -1; 193512544; 566374711; -1; -1; 409668507; 846948774; 132942134; -1; -1; 344618662; -1; 332409108; -1; 772158161; 805093170; 240524578; 855428002; 314210555; -1; 362415293; 948952951; 105617543; -1; 545002160; 183677641; 656576633; 843601358; 738376122; 131735429; -1; -1; 548789532; 407644224; 857492957; 777233656; -1; 616650342; -1; 786776278; 666175428; -1; 610536327; 787704511; 753630594; 473608853; 507887505; 64381243; 186615480; -1; -1; 42085742; 912945010; -1; 410225541; 531679154; 766690854; -1; -1; 139021528; 614191494; -1; 326526443; 560461191; 472630342; 33277899; 534969152; 611405308; 558340357; 595166578; -1; 960293378; 587078587; -1; 261223439; 288198552; 254161614; 164461691; -1; 368801616; -1; -1; 710733435; 977986876; 741954281; 744503450; 161832162; 58373356; -1; 959896791; -1; -1; 177470778; -1; 426052477; 159488318; 377628111; 625249366; 317897597; -1; 550325719; 491758075; -1; -1; 628623682; 301323567; 191112965; 569294650; 573192155; 675503398; 215388696; 221408100; 904420208; -1; 907072069; -1; 446950454; -1; 676425036; 204533282; -1; 858261813; 361077952; 305692872; 938707786; 219852434; -1; 294496330; 751572432; -1; -1; 541165128; 926824213; 283270039; -1; 622566761; -1; -1; 207569483; 633667118; -1; -1; -1; -1; 103040372; 212523245; -1; 996957784; 254975418; 254941862; -1; -1; 801193235; 626661054; -1; 661853235; 721101529; 753222440; 202257776; 11828887; 362341485; -1; -1; 739925612; -1; 715859121; -1; -1; 896065324; 1604321; 633253003; -1; -1; 603046771; 50078866; 934923873; 903918679; -1; -1; -1; 860546361; 718293691; 342214333; 949959558; -1; 824169450; -1; 757544204; 186392112; 564404980; -1; 281834770; 779010851; 608020337; 538708493; 609899756; 478372388; 724518603; -1; 57560410; 332776876; 445664450; 442025521; 14706812; 302991340; -1; 571734484; 856565272; 687836869; 839742321; 849741858; 517767005; -1; 996134866; 397878221; 96937416; -1; 865766946; 6217035; 904860516; 680453665; -1; -1; 769257684; 953809702; -1; -1; -1; 387312378; 3869544; 311324378; 829977267; -1; 786824136; 814954454; 927231093; -1; 315524804; -1; -1; 776052514; 246238978; 259233352; 625240458; -1; 926594961; -1; 697248636; -1; 874785045; 155957154; 464995508; -1; 289740793; -1; 470013665; -1; -1; -1; 234269973; 104456111; -1; 772142898; -1; -1; 733928533; -1; -1; 541365815; 280236154; 525307035; 76033688; 575773344; 602000531; 405376898; 99037411; 254140279; -1; 839208907; -1; 287262307; 200279415; 460246341; 616168911; 97290539; 527120587; 312495749; -1; 705993031; 402018492; 298693142; 980407690; -1; -1; 942900055; 243666443; -1; 190827226; 634404893; 976563685; 194448845; -1; 795739813; 475531282; 73923722; 773228901; -1; 993365643; -1; -1; -1; 223777284; -1; 412096265; 465913723; 324621269; 774633015; 295998979; 830289444; 791173456; -1; -1; -1; -1; 359322664; 242048848; -1; -1; 826329325; 163625791; 529108989; 318914879; 900253478; 851515397; 419181879; -1; -1; -1; 304876063; 751778022; 391339607; -1; -1; 805783696; 998518442; 754674458; 277899392; 161860684; 687662033; -1; 321949517; 725954668; 694849737; 35039648; 888250319; 640100331; 724613984; 197900957; -1; 630583511; -1; 977093199; 293756349; 847963729; -1; 939474289; 200777845; -1; -1; -1; 474533048; -1; 558425244; 437949172; 500394215; 343830999; 846897733; -1; 216328524; -1; -1; 825316051; 685920225; -1; 969318362; 301631292; 409705345; 153285410; -1; 762829350; 402296742; 839861288; -1; 830561446; 233973487; 596581609; 316330085; -1; 430609745; -1; 828843828; 122090271; 374392098; 623916945; 57321235; 802133077; 240471344; -1; 90334911; -1; 762364552; 596801864; -1; 380321120; 530282189; 366478762; -1; 97668573; 290418866; -1; -1; 55625416; 122429619; 106821711; -1; 969513274; 729010195; 264932788; -1; -1; 598819655; 459588127; 481723038; -1; 367945147; 233532329; 2346345; -1; 817220364; 373671775; 946608379; -1; -1; 191966012; 821832440; -1; 350837142; 965080999; 657179932; 677433711; 856122019; -1; 464512430; -1; -1; 368129847; 18576338; -1; -1; 948500136; -1; 950963429; 526543088; 8072949; -1; -1; -1; 274116055; -1; 382890487; 811737616; 810008501; -1; -1; 879482554; 246292745; -1; -1; 992237530; 334513709; 723681396; 522186828; 936895468; 864600841; 273211091; 182751240; 989434755; 658420882; -1; 303334653; 856672079; -1; 844974094; 472388348; -1; -1; 363311169; -1; 953654124; 313623839; -1; -1; -1; -1; 32852675; 533747700; 215890393; 829542516; 151220804; 830965166; 810742296; 498036238; -1; -1; 526607197; -1; 649761015; 585020497; -1; 84604335; 870602508; -1; 107301468; 148284268; 14148230; 41883322; 874916684; 408607392; 856798832; -1; 647216406; -1; 168768763; 18367716; -1; 960155730; -1; 654210048; 239000407; 846256115; 551577631; -1; 752834728; 244697890; 41264317; 84764037; 827327423; 181061253; 56396194; -1; 258436924; -1; -1; 970246952; 361235933; 201437423; 252709858; 972346063; 23341304; 487310952; 693705096; -1; -1; 352985814; 875699291; 632059112; 230486387; 771956345; 526594826; -1; 150830369; 628571012; -1; 196151030; 34254726; -1; 667327556; 397313633; 248707350; -1; 159976634; 596678807; -1; -1; -1; 718163300; 682855756; 73169202; 791771150; 857815212; 476289140; 400776729; 427553314; 606094464; 317788362; 179905244; 703253347; 85072645; -1; -1; 384385412; 954599081; 59809480; -1; 714841379; -1; -1; -1; 987044892; 441029644; 843133916; -1; 428533408; 964900552; -1; 839969368; 110309081; 853846083; 180028172; -1; -1; 82531262; -1; -1; 557741999; 33314467; -1; 28681824; 219133370; -1; 108406736; 783521385; -1; 191457452; 841741590; 693446281; 845185423; 643662021; 428374182; 922875529; 484902699; 214373882; 52404352; 221643004; -1; -1; 795073304; 365135469; 960402049; -1; 736420936; -1; 670613991; -1; -1; 609145600; 495476627; 142849132; 941590006; 195156387; -1; -1; 758306329; -1; -1; 913841047; -1; 896426784; -1; 136191597; 710087233; 194628489; 5917847; 137320622; 431441280; 886169025; 607260081; 559596809; -1; 260565736; 198426731; -1; 426946476; 833799906; 186905253; 199602604; 405865926; 639898454; 315251120; 160722357; -1; -1; 960416287; -1; 79021617; -1; 27296944; 552836181; 383459179; 523951162; 450009504; 34579571; 383828303; 309229236; 829914456; 702906843; -1; 188580685; 703392201; 506792397; -1; -1; 272371475; 992260581; -1; 214022366; 73348755; 897052796; 126884457; 478178781; 181464736; 31805705; 579832552; 793843260; -1; 318209110; -1; 80405781; 98908946; 657324144; 694225443; 465114906; -1; 482192581; 348658413; -1; -1; -1; 793877516; -1; 997546821; 945260929; 365768; -1; 682935205; -1; 979319212; 411286661; 111381769; 401530811; 818426937; 954653989; 810811609; 855495760; 139560374; 426780844; -1; 792724098; 919484475; 763492636; -1; -1; 875506437; 655173768; 664699366; -1; -1; 941750017; 215625016; -1; 688103564; -1; 812677933; 646727052; 652451368; -1; -1; 82337415; 105487278; -1; 361152766; 755060536; 792607288; -1; 328606669; 170621299; -1; 581839547; 247223400; -1; -1; 403085100; 234942214; -1; 517517301; 770940046; 771435804; -1; 821642392; 948932108; 622609915; -1; 585467406; 272224723; 458487536; 784074852; -1; -1; 445226198; -1; 103318339; 93860675; -1; -1; 965422422; 294354798; -1; 486070953; 676111763; -1; 221579527; 83569120; 514531037; -1; -1; -1; -1; -1; 884738985; 883919253; 768156492; 36393626; 786906717; 261599674; -1; 630620319; 255239351; 657297155; -1; 640299048; 997193325; 848408572; -1; 51942582; 168148847; 755429571; -1; 525993377; 21126423; -1; 240735266; -1; 57631895; -1; 151764276; 499802875; -1; 231149534; -1; 159059109; 711748183; 859687495; 421710003; 708325930; -1; 726801965; -1; 67646312; 410195901; -1; 702849001; 811602963; 9500977; 498298159; -1; -1; 583035382; 288498209; 575880007; -1; 450361896; -1; 926921385; 744762928; 325795585; 610673144; 664230976; -1; 883701805; 185610964; 459271175; 705588981; 373304249; -1; 873988890; -1; 997897709; 950496620; -1; 583167962; 95146891; 907350007; 727503371; -1; 691926937; 897923915; 377937234; 63374810; 217867724; 812796158; 3084791; 416228838; 386792604; 539226666; 642040684; 486868731; -1; -1; 580224913; -1; -1; 768372389; 372730958; 749809919; -1; 394007474; 900121693; 215858064; 92095421; -1; -1; 771343360; -1; -1; 162713641; -1; 906660252; 309013779; 277531233; 437805426; 898868733; -1; 563057737; -1; -1; 556059701; 545337825; 238901366; -1; 11346159; -1; 254770515; 286982505; -1; 810720251; -1; 975313048; -1; 200460527; -1; -1; 65120954; -1; 726224757; -1; 565348371; 739257956; 298989477; -1; 732665166; 658647784; 138141145; 881044998; 984066749; 114838675; -1; 576468926; 884944573; 778566129; 390701312; 556366494; 477044391; 219405211; 859292339; 792162431; -1; -1; 350268228; 239542944; 297778469; -1; -1; 817870801; 679567953; -1; 381278297; -1; -1; 127121313; 157570934; 681796463; 724088810; 353647998; 515953542; -1; 721134582; -1; 585002457; 493630488; 248161267; -1; 201823149; 660429162; 3956882; 477364382; -1; -1; 582487575; 981363485; -1; -1; 533499373; 342227921; 352885523; 556869386; 897071829; 325853615; 661368152; 202845743; 605963196; 934989684; 553134290; 198545576; 141444339; 511942235; 272151443; 305102859; -1; 552706336; 635331713; -1; 514532939; 595390873; 513231346; -1; 363250178; 448849846; -1; 5660082; 206291075; 948866319; 282040679; 927913628; 948140154; 538910811; 594512966; 135962935; 485314915; 948684835; -1; 983131462; 104262377; 929699114; 358205217; -1; 634091375; -1; 230748766; 130304260; -1; 602183386; 25363086; 934757389; -1; 812159726; 677665442; 221972324; 953563587; -1; -1; 10880195; -1; 432301595; 939864650; 614799400; 711024032; -1; -1; 50113979; 740589196; -1; 857906515; -1; 919459733; -1; 286213555; -1; -1; 259582650; -1; -1; 255166503; 17970741; -1; 260125061; 738751585; 128653213; -1; 203247404; -1; 575382669; 598374766; 334451390; 623576759; 84203197; 710050417; 106080928; 446984413; 825793926; -1; -1; -1; 373772178; 919742074; -1; 553510221; 939900353; 609325014; -1; -1; 39764668; 258580578; 495955125; -1; 271091498; 903187454; 803118145; -1; 596232201; 323726955; -1; -1; -1; -1; 106980792; 854227236; 67525136; -1; -1; -1; 780798861; 738093406; 466607406; 921340338; 953865785; 325921227; 561573829; 557165762; 783655126; 281799561; 399247610; 734163948; -1; -1; 320554931; 202293325; 468531321; -1; 481633585; -1; -1; -1; -1; 799484679; -1; 146290702; 158178823; 839250219; 597055702; 343347054; 371994800; 811244017; 974458123; 198471278; -1; 628009027; 106560128; -1; 451724494; -1; -1; 730792575; 651317205; 7987489; -1; -1; -1; 792705355; -1; 203025058; -1; 860396102; -1; 131243610; 316433228; -1; 840881894; 999484377; 210232365; 935464756; 255991167; 870630519; -1; 946312950; 500559362; 403211846; 434007286; 137920366; 619162718; -1; 678281447; 439239792; 701550473; 927593165; 830992002; 457718098; 949378998; 344616539; 884980064; 825393250; 67183253; 175796488; 792849871; -1; 829645391; 537110453; 545238090; 665369956; 778584328; -1; -1; 286778509; -1; -1; 946634952; 59051886; 214848659; -1; -1; 744455902; -1; 105047386; -1; -1; -1; 87250913; -1; 894396505; 162809035; 770282835; -1; -1; 986789285; -1; -1; -1; 733547186; 63693075; 569720766; -1; -1; -1; 73085609; 606723121; -1; -1; 406822940; 945961776; 191071827; -1; -1; 159669276; 942454646; 599195490; 814874608; -1; 993879922; -1; 404482492; 731432542; 448941509; 124527187; 91347442; 3136015; 615416068; -1; -1; -1; -1; 937759734; 862146667; -1; -1; 451437438; 702962529; 787754930; 897589470; -1; -1; -1; 751360572; 691595449; -1; 463516400; 296558306; 143045223; 845461617; -1; 901308743; 369150923; -1; 211369662; -1; 381420453; 143499513; 341018130; 440537299; 373317402; 545722394; 930626284; 108140790; -1; 741242520; 75179873; 171177966; 901063701; -1; 876047709; 373601578; 5248608; 507370146; 677431148; 17724312; 771793637; 284667775; 626386361; -1; 777277748; 322506387; 729919907; -1; -1; 768368872; -1; 92925297; -1; 401896718; -1; 770362158; -1; -1; 55754874; 334029039; -1; 165195079; -1; 138872682; 222660405; -1; -1; 201711114; -1; 318904283; 183402281; 893013294; 132128850; 822280967; 768527774; 920603779; -1; 58948775; 557227391; -1; 612305066; 747962950; 339962198; 748372880; 657787001; -1; 677338725; -1; 230901650; 760037230; 171473902; 509802241; 195293531; -1; 882086787; 171774526; -1; 776542237; -1; 812628991; 892145633; 820941609; -1; 145357503; 955507986; 558907680; -1; 763297039; -1; 392462773; 567510282; 729038822; 516150464; 800347011; 219803277; 207419933; -1; 902691178; -1; -1; -1; -1; 493772383; 807946430; -1; 647546840; 133673314; 722835806; -1; -1; -1; -1; 527918121; 316920732; -1; 356693258; 91717810; -1; 934447951; 786271802; 9490268; 360937544; 972335588; 602108149; -1; 733151434; 613408873; 718346760; -1; 392606387; -1; 973085058; 539860828; 2963190; 306666076; 511562610; -1; 460276636; 354587940; -1; 794597065; 492036979; 452468749; 315663282; 745715704; 931009965; 839217335; -1; 549176938; 408204055; 690963959; 736860280; 506957276; -1; 962534784; 567273968; 992186471; 358299359; -1; 178424595; -1; 959214405; 461664958; 600845897; -1; 392054573; 439774363; -1; 567531369; 311027381; 32986834; -1; 514989192; 268509265; -1; -1; 126015433; -1; 34105469; 397244134; 819022786; 409175691; 624606853; -1; -1; -1; 912056144; 30618281; 194875895; -1; 841802607; -1; 185169742; 33020945; 353820620; 34038925; 426229688; 169617765; -1; 229202216; 316582666; 681295632; 395531048; 238447442; 371300829; 997400876; 806531567; 583127733; 482635129; 309786461; 756992398; 515349804; 300895275; 811790787; -1; 136487415; -1; 164006968; 194854165; 118249735; 768800548; 992757175; 415755552; 455445556; 554597197; 353118093; 35665933; -1; -1; 45233851; -1; 153143290; 906117608; 427085080; 978962117; 203427652; 160571237; 188336989; -1; 935716306; 468435456; 70030024; 504002948; -1; -1; 721532541; 519897319; 497379488; 763744152; 265231596; 316574745; 681360619; 346659707; 487258063; 233772952; 637291307; 522622030; -1; -1; 910660752; 709594102; -1; 257976763; 753847881; 744025074; 372222864; 702266075; 572168886; 990479614; -1; 139665897; 572682141; 807153581; 531496676; 219003048; 372515288; -1; 554752211; 735982211; 630369242; 471812686; 233993198; 447608498; -1; 45737068; 312083414; 693783465; -1; 858245211; 163796834; -1; 358963947; -1; 724341697; 527399602; -1; 881887950; -1; 934901631; 413915803; 139159644; 851310185; 457811862; 307759495; 651522188; 199291987; -1; -1; 434734832; 473948589; 113639821; 910275080; -1; -1; 153686539; 814471987; -1; 393928392; 952685972; -1; -1; 176254049; 392679437; 819406373; 358718469; 354910706; 827215976; 392354231; 90173930; 609995857; 547380760; -1; -1; 83441635; 765124504; 312537713; 668200471; -1; 93023925; 716993851; -1; -1; 777959046; 172269642; 487620029; -1; 205346276; 938721892; 732306; 842315859; -1; 178115473; -1; 1913314; -1; -1; 752401682; 635212533; 397800251; -1; 666572734; 538331858; 63939506; 840153822; 498015730; 381577048; 673057730; 701942478; 50815509; -1; 99406263; 672854451; 542198708; 874729614; -1; -1; 727894426; 12580768; 387625096; 181902794; -1; 809754117; 963782361; -1; -1; 861616132; 715212853; 401151400; -1; 935624147; -1; -1; 116474350; -1; 167195808; -1; 149429567; 12811036; 92852254; 276236348; 524552379; 244010389; -1; 685773395; -1; 859916829; 851653182; -1; 387981211; -1; 62336912; 44432896; 199388528; 254076858; 951441686; 618784547; 309132522; 495984301; 460458264; 989289707; 801853712; 383122308; 401190353; 231314953; -1; -1; 123268288; 952056171; -1; -1; 991061412; 362568410; 454488650; -1; -1; 501770891; 341305259; -1; 95315379; 71584252; -1; -1; 44845499; 228972755; 336938950; 426475453; 644275057; 393879019; 227380995; 417084802; 263469363; -1; -1; 643438467; -1; -1; 856111077; 655020348; 93146964; -1; 9626633; 891569732; 559625461; 514264830; 323234671; 134478702; 413358508; -1; 56409236; 472855387; -1; 265889182; -1; -1; -1; 209672484; -1; -1; 688925848; 807689235; -1; 993019606; 207158139; -1; 825633115; 535951883; 434294493; -1; 958291255; -1; 674309442; -1; 428360897; 162147093; -1; -1; 327134561; 699064000; -1; 734663943; 261859380; 668671863; 491040353; -1; 321870398; 824634913; -1; 874991786; 272020994; 855761639; 684777460; -1; 3481883; 15229178; 796185247; 693903581; 369202326; 811225540; 220346829; 459885032; -1; 223259846; 657390723; -1; 696154631; -1; 785367415; 35600199; -1; 104397556; -1; 451295560; 868037487; 443579598; 88717346; 753570840; 436531667; 548253397; -1; -1; 286750488; -1; -1; 717046298; 259432283; 292903519; 487868921; 322697572; 416348218; 430020556; 592177847; 335795891; 869738217; -1; -1; -1; 112866706; 530508234; 392289888; 461160066; 889065788; 628960847; 453137775; -1; 142648120; 616994971; 5920775; 327060546; 48807592; -1; 606601126; 224496089; 22084932; 99479701; -1; -1; 879903728; 626680601; 238810052; -1; 780215329; 519655222; 15921326; 462423665; -1; 228146000; 576488553; 875331705; 356532234; 604145782; -1; 239360610; 485680874; -1; 526960762; 37459765; 474540700; -1; 173239851; 65384568; 8764175; 219404299; 454571165; 81210886; 57083059; -1; 653970187; 95553718; -1; 972463156; 542828550; -1; 719691604; 739710698; 368223392; -1; 735234898; 464136934; -1; 458465478; 67221959; 260825599; 185160289; 171775345; 785250481; 302810886; -1; 705716890; 2045879; 339975771; -1; -1; 430630738; 928293759; 844030234; -1; 194362441; -1; 966176199; 581609674; 243601594; 57463166; -1; 945540362; 452263251; -1; 57837538; 324905740; 246596990; -1; 695226189; 20223583; -1; 384827745; 185663230; -1; 825969264; -1; -1; 332361946; 710360986; 655535073; -1; 168476218; 881227569; -1; -1; 617063073; 121894517; -1; 858042587; 490803849; 32034650; -1; -1; -1; 297496736; 960399334; 353763108; -1; 360658894; 575826157; 838230412; 404123028; 838669577; 77054282; 899919712; 722126729; 759421168; 966643581; 332970537; 640827396; 495487116; 170105998; -1; 233741097; 424766732; 851871486; -1; 660539053; 888946905; 453079733; -1; 922181935; -1; 456417145; -1; 273102016; 475447246; 706097166; 72140004; -1; -1; -1; 317605389; 979909032; -1; 5280484; 304931565; -1; 700785288; 407728745; 337749443; 206090363; 221179685; 547332357; -1; -1; 842643277; -1; 880784309; -1; 398754447; 860325561; 232428211; 725788480; 468398518; -1; -1; 549657756; 477212622; 131851597; 616331345; 141512605; 158507659; 343192874; 73675035; 902535064; 314066377; -1; 773010885; 41859593; 206923550; 495713540; 42215172; 504187591; -1; 358273862; -1; 766085465; -1; -1; 555573180; 455773403; 367571105; 76973056; 317883086; 865142301; -1; 416377877; 83930287; 567067693; 318582643; -1; -1; 406930361; 228037477; 681017266; 954656103; 141090544; -1; 351784330; 553714021; -1; 611639626; 555955202; 621874056; 6168389; 680109401; 382735963; 598927214; 438022502; 185978737; -1; 836404218; -1; 320493271; 647091664; 432272050; 415537296; 85608455; 421311324; 96513776; 209493949; 14160665; 765180212; 238278259; 857487520; -1; -1; -1; 563120103; 475587693; 294307998; 574351505; 354729300; 472104471; 87348167; 593505754; 623520445; -1; -1; 235148207; 381177945; 561980594; 734958169; 939083527; 117272488; -1; -1; 280372038; -1; -1; 284521685; -1; -1; -1; 56395973; 757070398; 113893708; 499151342; 343335988; 29768295; 333042385; 446047813; 32308384; 702142725; -1; -1; -1; 122536791; 193299813; 95982411; -1; 731588080; 233993828; 888112608; 240817312; 712688674; 817427404; 153413988; 886414657; 539201167; 539916019; 933778550; 720317178; 29664317; 244321794; -1; 994344211; 342303798; 856002537; -1; 839942916; 167360907; 541075116; -1; -1; -1; 436785525; -1; -1; 626845869; 873642122; 252821680; 270906827; 365788785; -1; -1; -1; 50301613; 757087950; 265729873; -1; -1; 963618824; -1; 297862418; -1; 659293385; -1; 703485869; 146810542; 480977031; -1; -1; 827861548; -1; -1; 826686475; 872878813; 583489140; 539724166; 198586148; -1; -1; 548039009; 998960351; 65020436; 765190683; 49031739; 573624543; 247796834; -1; -1; 792831015; -1; 251580419; 565246552; 442097469; 365723466; 740672933; 859176279; 26848079; 297116504; 469402017; 283817754; -1; 94337146; 125826654; 163934276; 774483807; 646536630; 423334515; 210963026; -1; 746201752; 955259221; -1; -1; 764661169; 366686340; -1; 705199091; 341907529; 211060893; 693837925; 121077323; 328523218; 624156467; 971570306; -1; 464049404; 334347882; 897853161; 243112996; -1; 145172162; 720500229; -1; 200656110; 36627141; 581679005; -1; -1; 534760596; 584144568; 916576544; 796223550; 318862494; 329381909; -1; 962769806; 117021370; -1; 901724741; 520353709; -1; 547089021; -1; 412844677; 816031142; 627619204; 270608870; 110537351; 853208863; 274772553; -1; -1; -1; 805397095; 93640317; 68782857; 278772233; 334406620; 292698413; 404433397; 902494665; 326412483; -1; 503236039; 757540648; 686908190; 343962153; -1; -1; 370545952; 70283442; 873272763; -1; 888278504; 352987140; 112299580; 104113826; 981243494; 994289618; 523882314; 376683978; 723429219; -1; -1; 410845872; 417503068; 179303922; -1; 164372791; 52960983; 69097170; 344166034; -1; 374397501; 610429644; -1; 584640686; -1; 296172645; 445808502; 701804444; 691657019; -1; 666347154; -1; 656422260; 294295714; -1; 101176617; 364028439; 508841334; 819660482; -1; 993271586; 922319644; 584640117; 225862871; 260802091; 664346869; 104191035; -1; -1; 791117338; 288036416; -1; 337933457; 506416492; -1; 709147465; 482226711; 992614307; 308787915; 849327452; 746495067; -1; 632499889; -1; 73791796; -1; 996604474; 39240273; 305873733; -1; 587129965; -1; 458506186; 5555292; -1; 659078478; -1; 793289366; 898229506; -1; -1; 992777552; 393132393; 667884074; -1; 282552034; 374063220; -1; -1; 243286591; 642015790; 467666287; 372213719; 97681371; 979135844; 587883492; 74614416; -1; 390122705; 413890776; -1; -1; -1; 525926512; 676181199; 115453456; -1; 621704705; 787832533; 284734896; -1; 327494435; -1; 898917960; -1; -1; 90203119; -1; 33400776; 687992861; 227848165; -1; -1; 934362308; -1; -1; -1; -1; 763880825; 429457948; 109074823; 81652778; -1; -1; 199999163; 435574280; 955123260; -1; 276010620; -1; 192519846; -1; -1; 696102116; 262099895; 282049458; -1; 66988311; -1; -1; 112837549; 591472936; 188234840; 464668918; -1; 591083549; 331557076; -1; 350079875; 92385543; -1; -1; -1; -1; 650425767; 465525863; 98113844; 78389569; 988597145; 981604715; -1; 607747677; 786416510; 904993556; 982157819; -1; 512086444; 337235761; 662585811; -1; 936428928; 905392550; 55505020; -1; 333247435; -1; -1; 718523457; 904239554; 100336654; 907372128; 68318702; -1; 905663936; 908685713; 188889976; 344433692; 54090288; 51087780; 149607446; 821379387; -1; 563036111; 90097893; -1; 4408276; 505097532; 97438873; -1; 407719111; 284058295; -1; 547551133; -1; 762087316; 291083445; -1; -1; -1; 929588992; 633856453; 239905062; 30772957; 120029706; 700120508; 443924186; 362063257; 878358605; 12930062; 491562155; 680467793; -1; 379736319; 166799049; -1; 364542284; 68365893; 567312964; 232271243; 876337483; 397558972; 631432216; -1; 547460097; 888383654; -1; 550744581; 418040726; 591601771; 5580543; 183967063; 459106243; 416118297; -1; 959856001; -1; 484534519; 777704813; 964952374; 800663364; 95488977; 729756198; 536816877; 128861079; 775548088; 785989091; 760589453; -1; -1; 28730014; 898853232; 823873793; 643496670; 577866048; 331394937; 784533041; 742241821; 711064727; 272125567; 664944968; -1; 722702681; 280006477; 958367932; 157743199; 205480542; 523249222; -1; 114274883; 323198475; 500786727; 844745945; 352443945; -1; 960873521; -1; 163127007; 527354844; 799807438; 944144107; 643507567; 826948858; 121124793; 487443122; -1; 127812770; -1; -1; -1; 680103457; 342555853; 242291511; 919372096; 196161943; 117101961; 629425451; 385902815; 583185754; 560672453; 556283029; 637570905; 197612943; 856428130; -1; -1; 386310653; -1; -1; -1; 457991744; 489473789; -1; 310992946; 328820023; 488897424; -1; -1; 353319517; -1; -1; 735955196; 400226210; 645110695; 429006051; 99899404; 832073733; 446660974; -1; 665915634; -1; -1; -1; -1; -1; -1; 732751948; -1; -1; 134708641; 204433335; 825828487; 840294573; 355915645; 38309803; 188967370; 218928401; 505941239; 2250156; 867438072; -1; 74018210; -1; 238040815; 353670836; 124462581; -1; 445447189; -1; -1; 426332545; -1; 400132284; 213385359; -1; 824866823; -1; 704044288; 417554251; 503601368; 790670771; -1; -1; 724120270; 857957937; 561426449; 43175344; -1; 302278067; 61723068; -1; 834723187; -1; 416223924; 913797344; -1; -1; 812498942; 105351019; 470035717; 68148312; 722963685; 481110436; -1; 101814342; 831708449; 158959218; 823198160; -1; 888697575; 295474161; 663615563; 947364568; 559153190; 233061480; 318019947; 829432989; -1; -1; 843179466; 769897734; 389624729; 669816040; 219610252; -1; 188569697; 674880886; 406423490; -1; 965297605; 8065358; 349316188; 379432090; -1; 381427396; 588851455; -1; 64197068; -1; -1; 403887440; 49939343; 601416321; 544773101; 730653558; 623723832; 937708988; -1; 229616674; -1; -1; 678525628; -1; 608165891; 660431276; 298988587; 467562094; 846237043; -1; -1; 499471207; 984170141; 887996768; 488155878; 91228505; -1; -1; 908576695; 990333815; 257963191; -1; -1; 67967796; 140876750; -1; -1; -1; 833701467; 109829165; 82768593; -1; -1; 823777801; -1; 970262353; 676868024; 952729219; -1; 608867950; 745186806; 583029349; 407143518; -1; 867101968; 227436093; 564436015; -1; 924269902; 478236760; 750810386; 253116243; -1; 570360806; 806589048; -1; 371478135; 958264744; 177400422; -1; -1; 669992361; 86460418; -1; -1; 881045100; 20777623; 940669499; 993620867; -1; -1; 678965509; -1; -1; 76110915; 731394088; 614015395; 576364112; 444055201; -1; -1; 941783712; 816766039; -1; 224999757; 181320703; -1; 711804168; 63735115; 731461515; 843140932; 124530146; 493570295; -1; 886320511; 903323176; 309896730; 544761883; 658114718; 250387365; 8345280; 695990404; 905583927; 83092920; 631292157; -1; -1; 881960185; -1; 731154383; -1; -1; 93231960; 478488327; 505394730; 956053760; 92411347; -1; -1; 210646901; -1; 984231538; 219325689; -1; -1; -1; 585333429; -1; 457739684; 997146002; -1; -1; 937149382; -1; 214008607; 861215208; -1; 133528441; 268372592; 617482902; 452327173; 706272397; 547991315; 629126288; 305111866; 294554653; 687934704; 196959020; 725477353; 882703839; -1; 374347025; 682051336; 254483568; 240687205; 871817308; -1; -1; 254529621; 265108046; 491718045; 236816525; 250563153; -1; -1; 500587222; 400573396; 906663091; 500411297; 778246627; -1; 344760716; -1; 709758027; 631783571; 215684887; 25037186; 225617418; 528031805; 432735582; 101125533; 354242659; 205442152; -1; 28203305; 794738087; 301514244; 371331216; 56559108; -1; 518178398; 821179267; -1; 77871274; 851561180; 801577108; 324471364; 149456366; -1; -1; 294544114; 898580679; 168929202; -1; 215705645; -1; 213834743; 993857; 119567130; 653770358; 863111921; 447092044; 163277373; 535102899; 529844904; 789530917; 749305020; -1; -1; 587629403; 498717378; 551337638; 134264254; 280433513; 570380048; -1; 390406858; 863396994; 134708168; 54765186; 701383503; -1; 988615450; 513755316; -1; 121108925; -1; 936032691; 533209493; 523958563; 136426205; 67837625; 352445738; 49850517; -1; -1; 922482635; 748909005; 819671092; 854730382; 346422982; 58457394; 514351013; -1; 407224873; 774680549; 36337690; 152815335; 524029719; 384955329; 789696031; 436004543; 771128934; 400681749; -1; -1; -1; -1; 14186575; 829960688; 195616820; -1; 542503929; 970344556; -1; 202934356; 648566283; 172898843; 156657739; 497079870; 975093632; -1; 488321238; 90131701; 7134790; 133817911; 109730425; 468458503; 861447; 104535428; 681979377; 21494933; 222904810; -1; 424384948; 154534761; -1; 134828173; 225322039; 503638672; -1; 822367357; 338050309; -1; -1; 977911837; 247082791; 101075770; 938247055; 491768477; 21779567; 30983546; 793841907; -1; 176630740; -1; 11488079; 148467893; -1; -1; 342218334; -1; 105897908; 994504603; 247742387; 780206968; -1; 707488887; -1; 170790692; -1; 517159207; 98136941; 753657685; -1; 762446685; 376098922; 182483210; 155885295; 163586419; 808744478; -1; 67569023; -1; -1; 288509222; 513524814; 6857493; 523133081; -1; 477310763; -1; 167400517; 830329278; -1; 983534527; 927677748; 846359093; -1; 920010919; 237953384; 103310948; 814066111; 523004959; 98677565; 634793564; 658723640; 562098100; 421779351; 514816545; -1; 104965074; 480157020; 739545203; 449487365; 238620310; 814357517; 851958946; -1; 186238715; -1; 73467032; 876543401; -1; -1; -1; -1; -1; -1; 496322591; 224179949; 442436254; 291701569; -1; 837633735; 673527688; 994114043; 32024397; 637177020; -1; 408912004; 665713992; 490309461; 525626137; 746374873; 784477682; 452566116; -1; 762009743; 245536565; 167066036; 815500696; 998916579; 905727818; 691291313; 649519087; 996358219; -1; 294093099; 657671955; 818115771; 329446789; 662394255; -1; -1; -1; 10775674; 190109078; 716409520; -1; 833114972; 582824785; 643120466; 369339318; -1; 802166962; 101480808; 860444077; 878147754; -1; 53298948; 916078346; 937013831; -1; 145518323; -1; -1; 678796120; 238877818; 933920694; 104682078; -1; 375233907; 769548729; 361740128; 96607833; 100021250; 628061298; 872903488; -1; 17238280; 257423330; 767460095; -1; 709645859; -1; 232178182; 732062539; 257388254; 9604506; 849114215; 804382291; 118625724; -1; -1; 914119195; 823284489; 377133120; 576002389; 668564980; 269255282; 764303958; -1; 687001031; 5264955; -1; 388459652; -1; 219652312; 429337788; -1; 251785843; -1; 251979225; 950232554; 786096392; -1; -1; 156423390; 62114267; 614340404; 570551474; 834691032; 427379166; 755178276; 882562109; 557984448; 861722032; 500379257; 71382950; -1; -1; -1; -1; 204407126; 175662830; 400934037; 339925941; -1; -1; 3682351; 168543532; 647787292; 639693151; 353679649; -1; 890280043; 845949858; 370439678; -1; 401565773; 588202628; 969552144; 383763646; -1; -1; 986266632; 581564526; -1; 625605679; 319746841; 855145178; -1; 255791250; 240449257; -1; 388109530; 756857240; 921753739; 909661042; 837882149; 756797044; 206522641; 421282250; 289291059; 63145633; -1; 788323970; 320177255; -1; -1; 836948172; 302166187; -1; 906194222; -1; 68033981; 415489861; 127309621; 277432218; -1; -1; -1; 821954952; 3674535; 979954701; 406205853; -1; -1; 106576214; 374853817; -1; -1; -1; 643379609; 978067986; 536182652; 383689477; 647623068; 977044474; 769729161; 518508891; -1; 758350202; 894387653; -1; 710524640; 92267205; 438765990; 677180799; 304458300; 266640817; -1; 73214040; 103793614; 927870747; -1; 779098070; 82296012; 829834134; 924380306; -1; 181864245; 554696106; -1; -1; -1; -1; 424978728; 792398525; -1; 591298099; -1; 429824770; 261601053; 630569471; -1; 363269800; 478454664; -1; 621772113; -1; -1; 278752117; -1; -1; 68028121; -1; 381261822; 852810123; 436329269; 945820166; 769620059; 517602163; -1; 627264437; 108464791; 657727934; 410315485; -1; 888794290; 769255146; 338848485; 646954042; -1; 59811458; -1; 110756999; 697070604; 194281117; 283867409; 769715380; 107422567; 918183794; 799537425; -1; -1; 891369110; 695786235; 864857345; -1; 397044608; -1; 708759797; 723452377; 388513595; 573434621; 988255701; 696188304; -1; 609482718; 954753855; 60907516; 203611814; -1; -1; 47609229; 512653747; 419372178; -1; 654015330; 618553018; 584092487; -1; 277770598; 827219865; 241906486; -1; 391612134; 889364527; 459726846; 951205584; 821246908; -1; -1; 766777878; -1; 359497268; 38971742; 747249097; -1; -1; -1; 73119751; 990691850; 508576597; -1; 109989119; 788206909; -1; 137859719; -1; 290468915; -1; 582775651; 735454047; 221383307; 19955028; 943271557; 753616405; -1; 536379210; 969773425; 218428192; -1; 1963061; -1; -1; 738565077; -1; -1; -1; -1; 887085584; 624859146; -1; 142311974; -1; 655211575; 536067773; 860663013; -1; 534112754; 529194398; -1; 810193902; 21484648; 539881313; -1; 461420467; 159766709; -1; 605079124; 362109879; 790945273; 378493436; 252447989; -1; 636068701; 475105477; -1; 474400617; -1; 891280002; 959664755; 410279189; 365651109; -1; 976990811; 254463064; 569395796; 762782268; 333817461; 68580111; 442867523; -1; 90616409; 326978895; -1; -1; -1; -1; 159698245; 149925691; 69699788; 831520813; -1; 510892208; -1; 458568166; -1; -1; -1; 897486910; 256988838; 37415056; 48415973; 72340214; 23222518; 227442187; -1; 688056859; 743555961; -1; -1; -1; 304458777; 800743521; 708751943; 811381716; 372949056; 537308449; -1; 420642395; 55729391; 776340533; 762224459; -1; -1; 484529712; 705230070; -1; 934847399; -1; 719325823; 142571414; 264977922; 751522948; -1; -1; -1; 971004735; 279799921; 874982733; 46028190; 925640898; 246149687; -1; -1; 6257728; 892369031; -1; 578504896; 815351022; -1; -1; 105782621; -1; 744614409; 413115554; 952748110; 499845625; 646715472; 758589679; -1; -1; -1; 914935210; 208962672; 158964640; 852548642; 813346288; 837183415; 784306947; 924145817; 659385840; 860508402; 136713927; -1; 830835; -1; 454680149; -1; -1; -1; 402366082; -1; -1; -1; -1; -1; -1; -1; 606244410; 748035512; 492209172; -1; 209930666; 486954640; 962332169; -1; -1; 230995046; 37995347; -1; 548053482; 777925683; 380573724; -1; 550471002; 446865718; -1; 919021930; -1; 51733291; 100467160; 574717726; -1; 425633036; 378512722; 37885828; 646897325; 610869257; 672293690; 739552999; 797064727; 686888528; 463246336; 177445045; 150368883; 941180785; 315063871; -1; 653460749; 959672212; 391760482; -1; 326642394; 5531249; 982013804; 339082258; -1; 295190365; -1; -1; 88840952; -1; 620347541; 847970807; 406098887; 257431696; 156377783; 391314948; 405475525; 272588085; 43883055; -1; 720256053; -1; -1; 280881394; -1; -1; 398558403; -1; 220753860; 933404723; -1; 220281244; 408474145; -1; 794142997; 379760356; -1; 771709397; 433087914; 919383109; 612041517; -1; 981032359; 691395475; 304086971; 943069114; 13500742; 905798490; -1; -1; 346389433; 150203327; 167047502; 671484830; 554685458; 804208053; 7718854; -1; -1; 842845254; -1; 92193016; 118843854; 111062184; -1; 840596895; 67167880; -1; 612443164; 831652817; -1; -1; 294218552; 480422303; 177788897; 892003643; 465790727; -1; -1; -1; 277455013; -1; 648319672; 704752550; -1; 608716398; 346008628; -1; -1; -1; 983994368; 581440404; 509711078; 442420338; 713312504; 320041718; 592645078; 266316693; 305541002; 994034221; 576256271; 144813181; 984836; 399011254; 395348938; 13664711; 87462600; 118188556; -1; -1; 299600528; 884565195; 550814821; 782898105; -1; -1; 75988640; 790876147; 360124127; -1; 413056142; 436105236; 138228879; -1; -1; 161005351; -1; 403897685; 937346935; 212851296; -1; 139019135; -1; 949775748; 95636998; -1; -1; -1; 964566360; 354237541; 473991845; 320807516; -1; -1; 264384542; 60614135; 69220256; 832584069; 699099180; 103938262; 156665658; 248422498; 632173863; 515735262; -1; -1; 103232816; 200279649; 92042850; -1; 763210502; -1; 434158685; -1; -1; -1; -1; 83470472; 695781757; 553295326; -1; -1; -1; 169957977; 248556560; 620405902; 112542782; 821911359; 611880053; 676730901; -1; 832466903; 737752273; -1; 655024136; 704466538; 48749334; 868713137; -1; -1; 951104261; 369678548; 866536489; 650792789; 439600834; 204713106; -1; -1; 212360340; 815454932; -1; -1; -1; 214642912; 409878680; 564787371; -1; -1; 289151391; 246853084; 208632339; -1; 17093781; 847918269; 279993335; -1; 934626833; -1; -1; 245706286; 975031297; 629807102; 160733992; 973566261; 35575157; 688397803; 519757477; 944097251; -1; 245312763; 982904434; -1; 255660959; -1; 207753292; 882990061; 82460408; 462753329; 400890771; -1; 717156245; 366461876; 767492685; -1; 777353401; -1; 923097841; -1; -1; -1; 354375410; 451870903; 870108210; 638039366; 965315750; 417534640; -1; -1; 224734552; 386747231; -1; 598526145; -1; -1; 173242595; 525473523; 288860; 659866555; 709079103; 683111281; -1; 875857216; -1; -1; 29415115; 301121705; 836856122; 475144573; -1; 300147692; 55659229; 517310178; 717511112; 413786690; 185849974; -1; 442860386; -1; 610066598; 870727595; 501625780; 995855400; 745741791; 843770948; -1; -1; 874662441; 823049148; 823884347; 402189735; -1; -1; 44627306; 105318439; 736286214; 267516806; -1; -1; -1; 210266862; 8892561; -1; -1; 836974197; 970054760; -1; 37141364; 25766922; -1; 185936439; 310235822; 580177237; -1; 582254606; -1; -1; 277916640; -1; 413665119; -1; -1; -1; 770619258; 523363791; -1; 646472876; -1; -1; 571429685; 31190936; 776488880; -1; 145842317; -1; 969482485; 485118557; 851585585; 265008494; 804826197; 629208362; 915858849; -1; 184225847; 204808561; 291956264; -1; 22701027; -1; 763574125; -1; -1; -1; -1; 553133486; 686699700; 491670576; 494411895; 38244492; 1021764; -1; -1; 335858606; -1; 215368903; 627503771; 528286945; 471598531; 638301221; 937961410; 919524252; 200880320; -1; 148388121; -1; 259830779; -1; 750597260; 842414610; 456285026; 705100532; -1; -1; 962922914; 426520856; 21800040; 567114684; -1; -1; 841403208; -1; -1; -1; 173007800; 604282342; -1; 459354854; -1; 145462338; 349060770; 686217773; 737852689; 87774598; 997152155; 219835525; 624527118; 946550186; 44758972; 632632844; -1; -1; 969452473; 941336916; 527930556; 63396919; -1; 36058768; 216247498; 798395685; 649777436; 592213864; 976470404; -1; 600956791; 625290926; 338090041; 813935797; 164023609; 286535775; -1; 131802275; -1; -1; 815881201; -1; 950450729; 708654807; 704265643; -1; -1; -1; 706783184; 701059100; 745245482; 625570983; 297419080; -1; -1; 417552160; 681757215; -1; 12382362; 534404483; -1; 307946255; -1; 396539325; 240862618; 541690686; 391346566; 550380069; -1; -1; 240598839; 999385065; -1; 16031314; -1; 253955496; 11747600; -1; -1; -1; -1; 151990491; 622278706; -1; -1; 84185836; 155186992; 879965180; 794652387; 429301623; 469429679; 875170114; 9852009; 744626390; 521748888; -1; 830455864; 105210518; 180058025; 43002765; -1; 77839614; 776459199; 860150645; 467983690; -1; 969047820; -1; 123143431; -1; 860625354; 5056982; 559814315; 405245052; 260826270; -1; 21284247; 281871974; 630650766; 213521402; 393039144; 288605472; 557315143; -1; 492119670; 745769670; 271509639; -1; -1; -1; -1; 513171149; -1; -1; 749424828; 150322738; 147912968; -1; 744679211; 683711768; -1; 542679669; 279389321; -1; -1; -1; -1; 378035738; -1; -1; 276740617; 945969700; 892364601; 515046690; 709096728; -1; 462002958; 159958401; -1; 935178689; 796463487; 412313851; 583252022; -1; 300962861; -1; 19737195; 648674127; 42387244; 410119920; 163111500; -1; -1; 19200392; 868271664; -1; 155000367; -1; 752582131; -1; 44627469; 803773656; 255689202; -1; -1; -1; 275345084; -1; 808262891; 32405723; 180983326; 673901748; 515144395; 338572579; 660186999; 445956480; 863574122; 718318557; 232316295; 551927762; -1; -1; 868646974; -1; 917398377; 908055683; 325471473; -1; 523024461; 25108677; 475653675; -1; -1; 14453876; 348901395; 470637125; 303128500; 407678358; 756364423; 575495463; -1; -1; 828098959; 646536617; 457779129; 627110477; 382078277; 29629348; -1; 233589709; 283184666; -1; 223278175; 479293008; 854239457; -1; 345979598; 264918548; 303336882; 680306392; 135353820; 624943819; 436758300; 348370858; 111266909; -1; 426953189; -1; 582837534; 455910625; 822996461; 269925241; 195027223; 945500345; -1; 913343199; -1; 127066; 88527121; -1; -1; -1; -1; 160988197; -1; 472247242; 259273233; 225222687; -1; 482771894; 470448696; 613382; 34067314; 829766314; 894522475; 243305618; 81912909; 282367712; 719096728; -1; -1; 622915509; -1; 753585798; 953153114; 828505387; 102796317; 404742798; -1; -1; 469496439; 974251719; -1; 767797214; 473029300; 336935145; 452195865; 426081086; -1; 529952198; 741344904; 258776283; -1; -1; 137885558; 338159184; 698765693; 693276777; 388035407; -1; -1; 715283918; 196000652; 673733299; -1; 36651624; -1; -1; 31160400; -1; -1; -1; 820456460; 698146338; -1; 926996118; 837882602; 659428350; 153236238; 242414114; -1; -1; 499616663; -1; -1; 976900811; -1; 466526087; 763625014; -1; -1; 319484686; -1; 820618102; -1; 33164135; -1; 177755911; 981624855; 628730803; 945521411; -1; 426805047; -1; 660716035; 754494244; 180555981; 186032958; 254853035; -1; -1; 404231203; -1; 859266493; -1; 387997985; 574374514; 612175348; -1; 341217897; 688793584; 542401129; -1; 242766289; -1; -1; -1; -1; 92192771; 159409893; 472906420; -1; 370098834; 727626196; 151932007; -1; 299411170; -1; 36619359; -1; 165362459; 8755603; 65503675; 110880472; 336399777; 904154764; 553903228; 871405653; 639528384; 815150802; -1; -1; -1; 194159937; -1; -1; -1; 338977292; 270413125; 999005282; 313210760; 952610672; 1694559; 46657128; 742657418; 896710473; 866868304; 393746917; -1; -1; 365131448; 890469835; 701092500; -1; -1; 490201751; 329900862; 824717991; 865222117; -1; 926991415; 445888028; 797236806; 257265636; 325336488; 580103309; 292288071; 254066718; -1; 665031432; -1; 371084748; -1; -1; 305780302; 245949824; 278227276; 66064033; 574546681; -1; 9354006; -1; -1; 299896424; 311397132; 940364188; -1; 181214377; 244503759; 773567858; 823255723; 246594106; 468634318; 966541462; 127774873; 504830427; 778252664; 441401041; -1; 856900608; 389962776; 365942981; 985200790; 383747268; 828891936; 965448180; 365744004; 48488335; 950856871; 608680567; 319450124; 238517951; 134609905; 539940847; 272046377; 93596341; 60731654; 808890954; -1; -1; -1; 915123281; -1; 970513170; -1; 751464328; -1; 843761093; 873175140; 150511516; 437931764; 938432328; 788285919; 4267738; 804547064; -1; -1; 433787252; 238043559; 837387727; -1; -1; 925183235; -1; 671396413; 865680488; -1; 331190028; 834861922; 350434565; -1; 259335076; -1; 191928596; 458163980; 153029553; 441382250; 305721168; -1; 326139870; -1; 158815289; 262464603; 832883833; -1; 526456201; 6320492; 7677839; -1; 168676430; -1; -1; -1; 651286666; 236188549; -1; 890765861; 568754736; 493728710; 209169126; -1; -1; 7566549; 315127349; 642895111; 514360861; 982801198; 574345022; 747159365; -1; 132561301; -1; -1; 531483438; 297795214; 868884249; -1; -1; 648953195; 110094553; 663079867; 444905024; 719191242; 594268584; 776036857; 552728797; -1; -1; 546450285; -1; 372871225; 750744331; 834592547; 351827205; -1; -1; -1; -1; 149216829; 401871990; 405542653; -1; -1; -1; 223742326; -1; 878162748; 345630155; 754267665; -1; 611373957; 208015711; -1; 797525055; -1; 43173700; -1; 708393190; 776354791; -1; 367271871; 891203772; -1; 250029945; 509783949; 984699406; -1; 107770238; 840778912; 382219658; -1; -1; 410269667; 537204302; -1; 176034337; 818179492; 174508911; -1; -1; 354267143; 62072823; 304996776; -1; 589002809; -1; 367192286; 118938298; 446910148; 4866639; 949295243; 556328432; -1; 315632664; -1; -1; -1; 203643760; 95052822; -1; 375243188; 596712797; 448051933; 858856168; 308261964; 622344226; 623072973; 640858765; 146539430; -1; 201264388; -1; 735715959; 831491871; 30745576; 660657733; 718983475; 746451525; -1; 677133817; -1; -1; 856723121; -1; -1; 114035476; 880602798; 740348308; 567727314; 331674606; 621024112; -1; 748336996; 916719268; 116371274; 611630369; 965647508; -1; 590520762; -1; 927118157; 292708058; -1; -1; -1; 412224306; -1; 295443500; 397521511; 206151058; 253571513; -1; 893138961; 127080281; -1; 467661237; -1; 725868790; -1; -1; 686401002; -1; -1; 277987319; 782450930; 104477625; 153626262; 727053518; 675911938; -1; 480001001; -1; -1; 82820515; 468790449; 818845341; 402715559; -1; -1; 890217891; 991501213; 732895593; -1; 458099752; -1; -1; 817767370; -1; 376012505; 844889157; 675760416; 28197980; 183521135; 986642968; 407373224; 674129870; 849095032; 66639714; -1; 561362318; 300158142; 994814884; -1; 699004994; 770408418; -1; -1; 958086520; 323729528; 467658381; -1; -1; 567807074; 84416112; 967803905; 849565416; 115019071; -1; -1; 500754158; 14312286; 132304190; -1; 494903874; 394081725; 392560992; 184350542; 694983498; 473434871; -1; 845611311; 905132753; -1; -1; 238048646; 162165626; 515967262; 700422411; 946700520; 71504389; 752018633; -1; 760609823; -1; -1; -1; 95257489; 344051672; 509979040; 92842803; 23024128; -1; 174976751; -1; 447938599; 927965270; 271311197; 907129925; 839609697; -1; 918022932; -1; -1; 327399540; 372290678; 151908724; 852952767; -1; 522570239; -1; 581528897; -1; 748867167; 275707744; 46285123; 700527196; 224769683; 282338281; 724336515; -1; -1; -1; 288047676; 588539328; 134527079; 43012959; 66170589; -1; 749235592; -1; 202010670; 898994890; -1; -1; -1; 73525380; -1; 221386814; -1; 96928038; -1; -1; 635021124; 421455701; 618074488; -1; 677875051; -1; -1; -1; 561097196; 722720673; 500419179; -1; 839343410; -1; 514887626; 439378635; 23157591; 385898058; 920884323; 769639715; -1; -1; 307455226; -1; 687869494; 507478613; 547680736; 734362277; 800136967; 281890729; 579149934; 207899994; 110611086; -1; 403582257; -1; -1; 427861412; 111578918; 275660599; -1; -1; 806351899; 762946631; 555219763; 843993377; -1; 975774938; -1; 970934372; -1; 210743379; 317187047; -1; -1; 105733096; 454937403; 745383457; 707907919; 383306020; 593348202; 928943533; 678135140; -1; 550824337; 418936000; -1; -1; 908951067; 994317557; 750426188; 663320051; -1; 303027526; -1; -1; 40886174; 967529840; 669120740; 373234649; -1; -1; 331426296; 883841328; 414911819; 146312194; -1; 331124720; 636326135; -1; 727885985; 50768905; -1; 751910523; -1; -1; 210727748; 662494990; 693453520; 863556151; 346582865; -1; 293209481; -1; 594286730; 14165335; 973457580; -1; 182512946; -1; -1; 636630582; 954803894; -1; -1; 927486649; 550366449; -1; 143443944; -1; 215274748; 649087864; 277837246; -1; 389417350; 283286929; 714196638; 276953846; -1; -1; -1; 920426272; 695107175; -1; 129109695; -1; 421463027; -1; 918601480; 17147334; 60103842; 253493873; -1; 899257555; 927736508; 230838037; 812055617; 321000009; -1; -1; -1; 117976408; -1; 150102974; 112450331; 527829540; 388219510; -1; 161549899; -1; 106546124; 494357246; 650312372; 639720711; 34873884; 345845023; 513321259; 221287619; 29345461; 41541562; -1; -1; 446063175; 139430616; 901174694; 44127978; 141950105; -1; -1; 482737491; 350096839; -1; 180367521; 488971395; -1; -1; 419078794; -1; 676740788; 682614700; 525212739; 640747423; 568107531; 426535745; 116763814; 650819604; 397930428; 45145898; -1; 578187549; 346755077; 527468540; 391116661; -1; 225327606; -1; 858714963; -1; 743437112; 527659157; 895489741; 35566591; -1; 980990954; 545404126; 405887682; 404380928; 778320940; 902976049; 936446942; -1; -1; 984405386; 938647600; 53043819; -1; -1; 788539343; -1; 672170580; 239925788; 85747706; 672387626; -1; 626443106; -1; 584415077; 335004956; -1; 807938436; -1; 848701386; 307798366; -1; 540753337; 183633393; 446708398; 972557031; 566731446; 927554848; -1; 681661278; -1; -1; 139240827; 428671973; 380722666; 86997584; 893283787; 978716769; -1; 314658556; 595644044; -1; -1; 200559422; 743600971; 934132115; 257323502; 348804004; 441035962; 864203912; 293119735; 849004329; -1; -1; 351396682; 432841474; 660009921; 792883830; 782979685; 640240408; -1; -1; 765800886; 982296883; 164033761; 100759556; 40476493; 246032749; -1; -1; 284897771; -1; 164112237; 59411845; 628318784; 147000755; 691699811; 743781547; -1; 779765563; 43353433; -1; 647816747; 719056149; 826628023; 893355027; 132912955; -1; 36753074; -1; 508750548; -1; 605664743; -1; 649214825; 683561952; 862953827; -1; 417150087; 575400687; -1; 842448069; 257290260; 875630281; -1; 332492431; -1; 981540078; 143217648; -1; 775719688; 279879953; 107414633; 779160775; 154239103; 288206189; 681201307; -1; 863240147; 240758080; 301959290; 940271017; 430281179; 923537669; 450865773; -1; 123902122; -1; 307419097; -1; 518560209; 260206079; 861956403; 167795389; 424980212; -1; 374615724; 169150292; -1; 565816240; 22412715; 485400085; -1; 326232053; 964501825; 407758544; 842184496; 781383209; 966074008; 124942816; 183842147; 74393048; 716781094; -1; -1; 410488438; -1; -1; -1; 665470091; 124438798; 983534242; 260793086; 357240794; -1; 147844457; 125316098; 193777931; -1; 532493174; -1; 7301235; 111545658; 374784312; -1; -1; 530866547; 446470141; -1; 128077908; -1; 423994544; 609297531; 326161336; 463808174; -1; 324407172; 681661345; 549329791; -1; -1; 744391791; 73441587; -1; 919442689; 137752160; 703516068; -1; -1; 711612581; 682095502; 85887352; -1; 566009341; 665869342; 381642917; 703430425; 189173628; -1; 158665889; -1; 442289637; 230214504; 85278594; 704921289; 38202314; -1; 920033829; 804853488; 477458495; -1; 965222591; 662690633; 20906697; 305669675; -1; 62864729; -1; -1; 722932576; -1; 738230963; -1; 815911103; 741216129; -1; 282442685; 920267894; 881473167; 7092499; 115216598; 756732100; 622940815; -1; 146786848; -1; -1; -1; 176543244; 34307726; 513041801; -1; -1; 479899773; -1; 332151993; 424058513; 948640436; 253167658; 295572488; -1; 180164485; 618271057; 838216299; -1; -1; -1; 622102515; -1; 136883007; -1; 528938109; -1; 399726192; -1; -1; 827028267; 742291554; -1; 175434815; 507425374; 332835428; 669067573; -1; 479023025; 639948643; 512617137; 858706094; 355656386; 121065523; -1; 553354360; -1; 571356969; 194837504; 45137363; -1; 270456702; 241513113; 199390743; 557486700; -1; -1; -1; 704579678; -1; 324580940; 513964111; 248634960; -1; 62666135; -1; 445357452; -1; 837396479; 177527661; 513503363; 256379452; -1; -1; 389154641; 216266499; -1; 132124994; -1; 10919604; 872411998; 868899660; 911448976; 412189515; 762063439; 426814582; 804934987; 43613963; 219310657; 794354226; 312533378; 911778398; 573384477; 97279830; 527003007; -1; 514847702; 526110082; -1; 854638544; -1; 53849408; 872805581; 143810845; -1; 972762968; 25959278; 848716755; 762490428; -1; 928934273; -1; 388463905; 14115583; 402566345; 150022349; 5584724; -1; 13095130; 275336458; 371158245; -1; 470200063; -1; 580608462; 820113483; -1; -1; 538209473; 484442243; -1; 280867292; 513201795; 688345870; 662752910; -1; -1; -1; 442558988; -1; 880987567; 976308166; -1; -1; -1; -1; 834555548; 656840103; -1; -1; 423521293; 56944044; -1; 689742653; 937032543; 343791972; 755073639; 349101674; 478704107; 197137925; 274465396; -1; 825883738; -1; -1; 866256174; 65099325; 994902344; -1; 561660684; -1; 899949575; 290401734; 154749176; -1; 478992773; 557138092; -1; 625018375; -1; 521481054; 289181826; 132828780; -1; 288368245; 907790615; -1; 999307374; 533423580; 345755343; 417622557; 172714958; 207300256; 216879013; 556419055; -1; 105710440; 509192012; 199585231; -1; 422786635; 486604168; 269292553; 67755384; 254016082; 71258440; 212570000; 513194761; -1; -1; 426050674; -1; 744438161; 378063063; 38234340; -1; -1; 612435315; 536528106; 950151991; 891236641; 728223194; 153362185; 366225659; 239737599; 235016943; 893155099; 948796243; 323431954; -1; 452454511; 412684845; 707109096; 918400356; -1; 790522526; 685650596; 788217131; 238250120; 769630652; -1; 253618781; -1; -1; -1; 515777438; 177373247; 408854307; -1; -1; 325348893; 671189182; -1; -1; 328349850; -1; 603169000; 990927278; 53321373; -1; 55391492; -1; 667558914; 494202175; 419982012; 262062966; -1; -1; 305728299; -1; 678373633; 977386055; 895428317; 270349773; 165461662; 690838911; 516741495; 659792400; 769181857; 870046455; -1; 880128010; 902869849; -1; 520247229; 275468399; 817062087; -1; -1; 931260872; 204329077; 983837835; -1; 230416666; -1; 322082207; 671622584; 728435048; 596181303; 732191988; -1; -1; -1; 598757616; 392771777; 984409002; 30045481; 23336788; 979446341; -1; -1; 66378779; -1; 509404311; -1; -1; 475557361; 361813423; 786522008; 827318841; 974468425; 272878889; 417116030; 59073645; 493292738; -1; -1; 315512057; 958471618; 495723369; 613799858; 50755489; 363773148; -1; 750818282; 623649245; 705936007; 296325624; -1; 387000954; 413832201; -1; 430826677; -1; 214022840; 880550606; 68917336; 438484899; 695863089; 435731904; 690200137; 470251787; 885879811; 374982408; 562448806; 969851915; 629938826; 224707426; 854426970; 652990881; 498320325; 51592552; 419088061; -1; 606370044; -1; 482607927; 271791669; 401747062; 468195661; -1; -1; 968315302; 658831673; 732195710; -1; -1; 358621201; 184583548; -1; 213182423; 948392754; 100899758; 635133900; 745487911; 639052402; 969486228; 406810358; 967739788; 594823950; 88129243; 884475512; 367897605; 134642061; 265213675; 953350700; 718504842; 593114464; 306838600; 947954981; 733403471; -1; -1; 295179398; 161547661; 745148062; 14731913; 986224636; 381629232; 666936590; 525862693; 733204028; 158169631; 697440858; 336686589; 513968629; -1; -1; 764184354; 579038444; 759589799; 660681946; 351915107; 755507011; -1; -1; 751055206; -1; 237955430; 424646045; 555872502; 821248900; 567557267; 557170332; -1; 854663649; 798880456; -1; 645611923; 906226116; 243703739; 241927765; -1; 458191950; -1; 235097824; -1; 452952092; -1; 565815714; -1; 111005529; 819352966; 792829765; 237940705; 855629494; 306309775; 16707124; -1; 701693910; 225918984; 373352537; 322890071; 957014244; 48327356; 829323120; 409060067; 309573677; -1; -1; -1; 832170669; 414509601; 670629062; 87288415; 215730049; 478395312; 168187224; 868321970; 640151188; -1; 282815525; 194339364; 273461466; 372443511; -1; 132350688; -1; 52153831; 678824680; 24985997; -1; 531772428; 60346276; 521784481; 902318061; -1; -1; -1; 841376431; 761838156; 285177893; 200368918; -1; -1; 224174125; -1; 579477112; 684551894; -1; 624077949; -1; -1; -1; -1; -1; -1; 318307740; -1; -1; 524888532; 206042421; 693370545; 750004139; 277747712; 502630456; 192049948; 262141064; 9193407; 830835739; -1; -1; 796069601; -1; -1; -1; 573140607; -1; 829387395; 674540821; -1; 762492247; 292831769; 168008511; 753257917; -1; 135744779; -1; -1; -1; 878109656; -1; 599796296; -1; 1917207; 873295348; 437481337; 812798494; 644658051; 131721236; -1; -1; 127048188; -1; -1; 166462115; 823599130; 796559261; 448216558; -1; 728886679; -1; 743755144; -1; 329991020; 69228329; 228416802; 267406284; 922886747; 881562528; -1; -1; 888897245; -1; 374707037; 131186566; 571792133; 403590379; -1; 918028033; 461285339; 679084560; 24310191; 730582515; 878265276; 603110906; 350150198; 859221741; 874262523; -1; -1; -1; -1; 436932591; 377558693; 941288648; -1; 341234987; -1; 654331083; 699020870; 940501857; -1; 39549353; 245911986; -1; 763257906; 724817500; 855022145; 638594708; -1; 461613199; 701557858; 397171092; 230393939; 614113739; 923374082; 938814211; 13643886; -1; -1; 412677097; -1; -1; 129696828; 586371875; 397429611; 677285972; 679188886; 423661392; 851450105; 919865485; -1; 948711727; -1; 622148154; 626530124; 194977531; -1; -1; 935364431; -1; 249590289; 624709610; 796137316; -1; 834556423; 247441213; 699751072; 995844798; 23275773; 872262649; 183505696; -1; -1; 348409755; 999545434; -1; 263468658; 563463607; 479007661; 985701119; 448162511; 562662280; -1; 394748148; 92047036; 937719218; 933104512; 480151310; -1; 37921190; 308086932; 434034950; -1; -1; 447630711; 96041623; -1; 777469594; 541732282; -1; 493862022; 514921370; 962073445; 828988023; 20310197; 478315151; 38763203; 66504173; 259775485; 120706409; 299811796; 972511907; 933644872; 281083133; 740614235; 763714633; -1; 966235984; 894090720; -1; 24984568; 960986322; 662956220; -1; 785997814; -1; -1; 191919964; 877299898; 560598165; 881788393; 443935674; 38297159; 357117596; -1; 918358378; 839323649; 42615371; -1; 189418421; -1; 183712623; 829048865; -1; 967881312; 383352354; 523591605; -1; -1; -1; 903512710; -1; -1; -1; -1; 866424530; 892926362; 38034686; -1; 162702340; 329693346; 411111104; 267319643; 750360888; 347895160; -1; 399135004; 297188698; -1; 266753522; 337042990; 535070692; 745303504; 177403243; 796088277; -1; -1; 269857843; 144278756; 341603488; 380587242; 93013195; 634924398; -1; 952331553; 189152432; 111194893; 985732875; 878785929; -1; 625296701; 885203169; 100867349; 123183545; 874178554; 970342205; 743742218; 332959525; -1; 650159535; -1; 937527170; -1; 334346053; 820520072; -1; 821683650; 564044087; -1; 585427240; 257367940; -1; 84783674; 892188976; 824490245; -1; -1; -1; 572763720; -1; -1; 329387936; -1; 13819675; 303421786; 179976703; 658564999; 704726537; -1; 827464457; 292919050; 528415866; 438529123; -1; -1; -1; 721209672; 860692231; 597655117; 319772215; 183126173; 198875004; -1; 805007671; 809165427; 403122088; 748462648; 489048000; 399078920; 200569585; 224360510; 380872174; 111047237; 672762514; 27989334; 299750490; 287132813; 526716921; -1; 626513231; -1; 615358765; 240680887; 91039707; 814902355; -1; -1; 45638823; -1; 983198021; -1; 469330911; 784456117; -1; 792271037; 60660732; -1; 909382815; -1; 567650909; 228156865; -1; 528550565; 527619297; 98961646; 230557288; -1; 28577615; 809525474; 652570178; 623867656; -1; 388248027; 433049809; 146987768; 863574241; -1; 5387282; 464340506; 96590029; 817937846; 554737706; 642750291; -1; 111188552; 795004600; -1; 797887533; 304958575; 991212847; 19394192; 666518553; -1; -1; 822338707; 872023234; 234434142; 881473464; 46470678; -1; -1; 830899611; 513993187; 306946245; 303350225; -1; 72868160; 224559545; 613431146; -1; -1; 149614126; 445666103; 933513658; 266104357; 532076835; 260134434; -1; 686936276; -1; 376240318; -1; 83420897; 355176913; 637654996; -1; 971831076; 51313254; 650381835; 143428243; -1; 971859046; 864279184; -1; -1; -1; -1; 694734375; 226760714; -1; 704309283; 858446820; 526185850; 503074105; -1; 871402300; 128100860; 675014797; 115443574; 712212163; 962468008; -1; 148130952; 951601248; -1; 370831855; 103097966; -1; 912392095; 24591924; 221202910; -1; 430970249; -1; -1; 891518236; 950501909; 92259859; 831800541; 214327631; 796730553; 582862729; 913754928; -1; 489233107; 689340404; 260229040; 569575413; -1; 174573091; 964025939; 634192434; 913576223; 529528955; 83961667; 5828905; -1; 54167768; 460654474; 723127228; 99487070; -1; 948625260; -1; -1; 902704132; 268388388; 662126673; 967889474; 676003802; 994806318; -1; 652787503; -1; 173230418; 515862232; -1; 794707752; 655259822; 699754149; -1; 432481632; -1; -1; -1; 246219949; -1; 263829562; 952564445; 634494551; 866693253; 200789535; -1; -1; 853112798; 511285376; -1; 20687036; 467434014; 680219668; 705599316; 318912763; -1; 693264554; 217596904; 820550689; -1; 695975870; 11388859; 388361297; 52352503; 706377233; 69662503; -1; 209806050; -1; -1; 868381869; -1; 996589733; 377754511; -1; -1; 741036800; -1; -1; -1; 294678349; -1; -1; 644094048; 659648639; 238423681; 440933931; 931884606; -1; 392793063; -1; 459229397; 301384532; 479013022; 528834466; 343358110; 631854505; -1; -1; 379317578; 147489279; 842914903; 326512247; 771831535; 776321567; 438327540; 231614048; 334755909; 97754660; -1; 544493269; 788947042; -1; 704116731; 771441566; 30627532; 108065539; -1; -1; 437008370; -1; 180783831; -1; 724578572; 44100118; 722304449; 741203340; 25147992; 457649173; -1; 416717863; -1; 242220428; -1; -1; 989824969; -1; 952441847; 708870524; 528061710; -1; 388544204; 103521738; 707259918; 567821924; 97185069; -1; 227775699; 498970697; 606176304; 583682955; 914981773; -1; -1; -1; 232284824; 425371510; 203697025; 128582580; -1; 378756498; 682127848; 463713565; 193858914; 31769762; 673157387; 782401377; 161154007; -1; 469822179; -1; -1; 817769649; -1; -1; -1; 996227269; 348716049; 683951630; 844462939; -1; 840204071; 360786643; 945995172; 160302494; 772288679; -1; -1; 166129522; 17427200; 100484441; 753306794; 150248946; 540414914; -1; -1; 453416995; 357775220; -1; 840116584; -1; 179339422; -1; -1; -1; 267421019; 773542375; 632622996; 667718933; 223568329; 31260281; 95691860; 713855122; 684477021; -1; -1; 80866832; 752672604; 741666894; 503916337; -1; 528356851; -1; 610451666; -1; -1; 442028106; -1; 747588206; 689889096; -1; 534510271; 983164679; -1; 64929423; -1; -1; 770767997; 182750650; 970347003; -1; 173374219; -1; -1; 54628319; -1; 69947019; -1; 792097827; 558562875; -1; 695152695; 686556189; 404518219; 24025124; 324568212; 287647309; 326497708; 842535867; 739354190; 599844946; 363265772; 131455969; 932112229; 567597462; 417534747; -1; 802379377; 581303017; -1; -1; 808937921; -1; 747781434; -1; -1; -1; -1; 682876736; 439355251; -1; 632941341; 185150769; 38699779; -1; 361067658; -1; 616161693; 799617727; -1; 508885231; 952362631; 548235261; -1; 433726436; -1; 205504235; -1; -1; -1; 916302128; 472922317; 207689014; 620891763; -1; 381946477; 318135211; 292867763; 489734471; -1; 547790078; 988923200; -1; 368046134; 814772507; 264745840; 909373025; 320523824; -1; -1; 187275322; -1; 996228495; 29312587; -1; 378644600; 195727535; -1; 759749703; -1; 565245304; -1; -1; -1; 788558637; 956840009; 176267772; 175202756; -1; 423726444; 960365558; 984867448; -1; -1; 385895607; -1; 17883543; 749822404; 935340459; 848465591; 48296106; 893906628; 731315422; -1; 749745615; -1; -1; 206402631; 242967753; 306998147; 180730474; 230589926; -1; 168357061; 557878124; 855239625; 565404441; -1; 318467451; -1; -1; 337227791; -1; 132621913; 50168426; -1; -1; 143860794; 902182741; 732889894; 579595719; 128304782; 621895399; -1; 399770150; 382245778; 673665629; 549718145; 360582725; 975208921; 783012208; -1; 384590045; 117260136; 854420537; 938327832; -1; 575140634; -1; 344884426; 714433266; 383250238; 706559534; 349483403; 112710451; -1; -1; -1; 916523979; 280895995; 931195935; 597451645; -1; 359007094; 177233805; 977559771; 656321416; -1; 179557444; 132549967; -1; -1; -1; 146192677; -1; 785286349; 609534687; -1; 784550865; 348944426; 934775643; 933028783; 430171905; 835010517; 118215872; -1; 681695835; 977150178; 620397445; 112551397; -1; 520391080; 890904710; -1; 325815902; 217131156; 968855167; 660027384; 179311195; 924857642; 471797494; 661962643; -1; 65966738; 720883671; 178316497; -1; 407628659; 731762869; -1; 445647407; 754959703; -1; -1; 920389939; 533607723; -1; 543054245; 947537839; -1; -1; 533490888; 726569586; 254772602; 654263049; 959574823; 372878281; 827162022; -1; -1; -1; 637269842; -1; 827456941; -1; 897133769; 35220437; -1; 472073184; 951877376; 887567135; 776259662; 530408146; -1; -1; -1; 237076558; 695190777; -1; 896453358; 689767711; 73466748; 90835358; -1; -1; 488073786; 449351649; 162735624; 949518741; -1; 974274306; 958909581; 139928315; 568252660; 537271710; 459476719; -1; 967762284; 159192599; 227899805; 180564331; -1; 776841255; 976047724; 623162479; -1; 570433802; -1; 634654006; 323006577; -1; 582458799; -1; 280572582; 468566343; 336563658; -1; -1; -1; 776544338; 99217782; 728779022; 491074726; 242577126; 467457331; 284448209; 529853974; -1; -1; -1; 365523242; 764715792; 673980922; 222890193; 191368892; 764169431; 191081901; -1; -1; 487096859; 988371537; -1; 244803584; -1; 996261897; -1; -1; 761911160; -1; -1; 607683844; 434695014; 294049520; 346199399; 853931516; 50545593; 654087772; -1; 552569591; -1; 803670000; 420616799; 296421666; 814060141; -1; -1; 901929464; -1; -1; 100749188; 615645760; 239226726; -1; 640424843; -1; -1; -1; 553702913; 938373262; -1; 70009383; 617324902; -1; 159626956; 317799792; 380943765; 455468104; -1; 135822661; -1; 241253317; 38405462; 978546154; 239955290; 715012471; 221707256; 194966100; 536943863; 44587130; 19010425; -1; -1; 850677823; 147434376; 183997756; 376130634; 739658274; 216701088; -1; 222277836; 556243372; 171607751; -1; -1; 924000109; -1; 817695987; 105202155; -1; -1; 775247701; 379911914; 872227122; 423774907; -1; -1; -1; -1; -1; 979832286; 885183960; -1; 26477087; -1; 967071226; -1; 269897817; 773401545; 310130739; 361807190; -1; -1; -1; 934755150; 326446190; 809502337; -1; -1; 69175656; 220335930; 912471252; -1; 438298636; -1; 364838584; -1; -1; 322638966; 774955309; -1; 732379473; 471243633; -1; 127342644; 952857510; 375130081; -1; 330784123; 499734017; 956127727; -1; 368327985; 780212521; -1; -1; 424830833; -1; 235057601; 594231767; 730103085; -1; 977142678; 576819458; 176298060; 761296651; 989473264; -1; 727621233; 802611410; -1; -1; 512035777; 625840203; -1; 116667670; 852977216; 635457799; 845569889; 494457586; 479917079; -1; 570050375; 451318712; 367015124; 30383691; 507913199; 537750691; 99706670; 208370702; 640930636; 999203570; 82451251; 736328861; 164910448; 745264030; 616915434; 903718902; -1; 453646696; 920884993; 260887024; 638796270; 841901657; -1; 370640963; -1; -1; -1; -1; 953452640; 746083024; 2140635; 153707530; -1; -1; -1; 741973612; 962846528; 642472108; 198473235; -1; 642971955; 488064829; 112777660; 927682416; 976040351; 506126085; 230745956; -1; 309908354; -1; 854211421; 454660962; -1; 665019143; 918057830; 282665824; 915473307; 559223081; 428171227; 812642739; 156224907; 347737150; 412681794; 242961935; 316003194; -1; -1; -1; 617964883; 984530913; 921137843; 222725325; 817518357; -1; 993245612; -1; 519702740; 910643741; 134971557; 74357929; 6610081; -1; 198382265; -1; -1; -1; 634581093; 280359788; -1; 906320785; 95844968; -1; -1; -1; 128173250; 179313635; 527375402; 517991642; 637872271; 274538834; -1; 242839729; 42075392; -1; 823927261; 99846310; -1; 804764723; 223860871; -1; 797472712; 588391915; 615820276; 798569767; 18780438; 999076436; 272641248; -1; -1; 772358997; -1; 548056948; 497827380; 211420529; 772104871; 529394130; 563097119; 339822308; 282928034; 670858436; 115151039; 541401230; 814953090; 685081386; 220766019; 112583281; 554541354; 735231643; 443930298; 442692434; 737606393; 982261348; -1; -1; 77880083; 160165715; 914045762; -1; 843413478; 556087189; 860044489; 506482845; 319083546; 757481933; 229439998; 590209050; 535703858; 7185257; 415240423; 466779151; 421063887; 540916381; 910517854; 745696909; 8736521; 476094737; 276107095; 106750842; 357621799; -1; 129036324; 955146955; 990808015; 653585912; -1; 571684513; 649659907; 658927166; -1; 338636704; 748365641; -1; -1; 30239734; -1; 910877782; -1; -1; -1; -1; -1; 842587963; 451339400; 385659715; 559248187; 156177415; 407328343; -1; 299398843; 352669868; 763852355; 377309149; 889850387; 122847681; 907846223; 986042112; -1; 651355665; 900639044; 590939935; 537281668; -1; 505410128; -1; 700686967; 594941032; 429483007; 73221849; 57104714; 526151128; 885326896; -1; -1; 161609386; -1; 255521560; 949160270; 980709738; 18186654; -1; -1; 347880196; -1; 901220294; 702019045; -1; 633447851; 674597948; -1; -1; 353157974; -1; 187832215; 617148138; 318501090; 658961422; 131726514; 490665802; -1; 290975750; 413277679; 427464180; 660170478; -1; 802745420; -1; 232991921; 438409680; -1; 881815528; -1; 588767317; 252961103; 277975670; -1; -1; -1; 596394692; 578784481; -1; -1; 991103755; 472562111; 776536752; 71867614; -1; 222935424; 407781090; 319283622; 942404898; 82517568; -1; 919472324; 364948511; 284795021; 90386368; 888376686; 967780291; -1; 399080246; 135157926; 790962489; 772426826; -1; -1; -1; 30409278; -1; -1; 744506683; 273571312; 505924621; -1; 313464447; 861111556; 208782942; 906121833; 50703329; -1; -1; 234131319; -1; 675803104; -1; -1; -1; 719537998; 227926454; 354379067; 532212135; -1; 879549152; 559016551; 931800170; -1; -1; 383562786; 843719969; 496491187; 599812439; 267850923; 895730970; 774310926; 837648648; 751028510; -1; 891540003; 796422216; 688460949; 99185054; 95962646; -1; 605830323; 403155954; -1; -1; 585637343; 944574026; 569798676; -1; 760330897; -1; 905551903; 315363587; 931496798; 562918505; -1; -1; 621799043; 699058437; 785264006; -1; 315744808; 159722191; 221726928; 347998149; 348365446; -1; -1; -1; 827844481; 556845703; -1; -1; 345437872; 28003616; -1; 613994427; -1; 982885499; 807208087; 56012312; -1; 246905232; 857123688; 175697861; 887749093; 310848219; 149168813; 341068701; 24433939; 464638845; -1; -1; 390070745; 623521498; -1; -1; 519148733; 844198159; -1; 114137685; -1; 423722064; -1; 294608671; 797478752; 596159488; 77746265; -1; 545239665; 365040456; 210723131; -1; -1; -1; 913481295; 703748017; 193369290; -1; 693670579; -1; 393770313; -1; 637623644; 852919703; -1; 720735202; -1; 929728406; 128003335; -1; 186608926; 589005814; -1; 555977711; -1; -1; -1; 843164362; 85666889; 443089906; -1; 92367179; 34664650; 948354359; 485575898; 615894390; 543816217; -1; 321032554; -1; 281734466; 866042279; -1; 686323472; -1; 952967566; -1; 942925041; -1; 82564470; -1; 979128941; -1; 789665248; 943939477; 330724000; -1; -1; 276477545; -1; 262261167; 166338618; -1; 416707378; 916713454; 58109803; 628499117; 514506758; 507125486; 47420673; 241383826; 486325588; -1; 186781571; 91103673; -1; 198855370; -1; 437574592; 929136482; -1; -1; 435345708; 713074702; 152741965; 674940915; 969932146; -1; 24777574; 592695927; -1; -1; -1; 193356503; -1; 197117926; -1; 259327978; -1; -1; 817322876; 643929492; 624213777; 374000874; 771166910; 223691357; -1; 719157914; 542416018; 379364157; 44556988; 322792189; 724000860; 400187660; 7545136; 957635935; 71836984; 452999652; -1; 452504941; 922959756; 451471441; -1; 618487744; 463187419; 63109094; 301033724; -1; 802179197; 776416254; -1; 287704373; 514985981; 767306436; 64243974; 533498830; 4545849; -1; 225814264; 22964258; 800980369; 696084715; 331861401; 858554905; -1; -1; -1; 96774222; 34176436; -1; -1; 570095863; 196932620; 158622637; -1; -1; 417494016; -1; 856266561; 605262973; 641205208; -1; 194618055; 18507986; -1; 428045856; -1; 239436327; 534548295; 447995137; 502252952; 276640662; 271462362; 794811984; 657460800; 350740538; 693527745; -1; 967807479; -1; 794837127; 120240161; 432184907; 624894925; 954157957; -1; -1; 331429221; -1; 597897212; 844130357; 982071035; -1; 511316995; 939664566; 739427674; 503317939; 387902653; -1; -1; -1; 65320246; 439253606; 411251808; -1; 364491547; 936364746; 501499914; 382510386; 733397803; 541347406; 558942940; 919471069; 525480591; -1; -1; 90589509; 847332368; -1; 118346744; 699453541; -1; 808542581; -1; 23196776; -1; -1; 749796329; 306509906; 997791880; 952223505; 408835065; 182100357; -1; 174116455; 96171770; 203715024; 227332350; 845788985; 867072616; -1; 768798397; -1; 48400460; 264901629; 115195441; -1; -1; 242835433; -1; 795745305; 927307795; 895580840; 105492377; 477144754; 945564785; 366362665; 302128431; -1; 487212159; -1; -1; -1; 455883941; 844939767; 519201710; 320810524; -1; 21907696; 707499699; 950653665; 255477563; 586272443; -1; 674301953; 930740570; -1; 821963696; 850940675; 339864088; 528526562; 951968056; 943184718; -1; -1; -1; 14841652; -1; -1; -1; 498342036; 724925389; 329853653; -1; -1; 305662426; 183842887; -1; 436348305; 247546602; 322314766; 332539890; 178592396; 72847623; 461589282; -1; 274973900; -1; 943059521; 571849390; 381707414; -1; 653820356; -1; -1; -1; 54408191; 568491531; 644863259; 231819239; 236427958; -1; 742724493; 558330453; 725689583; -1; 829196649; 277656836; -1; 172574741; 500614282; -1; 261845800; 73513093; -1; 870487078; -1; -1; 918286664; 137557623; -1; 918761905; 257748609; 440490728; -1; 557982842; -1; 758302865; -1; 344296214; 211847757; 989656712; 572746865; -1; 740368875; 149806209; 498768224; -1; 266553784; 28554407; 532830684; 958139149; 60248454; 362426909; 509389248; 233718975; -1; -1; 615038318; 449572676; 308491322; -1; 896520506; 165826229; 685964231; 468502849; -1; 436054587; 288711566; -1; 881965290; 334351639; -1; 103904413; 445661055; 236214514; 659993260; -1; 164873310; 183074043; -1; 902404258; 22371287; -1; 595610980; 52348324; 14095254; 346476596; 137719365; 584821124; 882971568; -1; 581367714; 676151003; 580263761; -1; -1; 235208345; 455055971; 520441235; 169923782; -1; -1; 140323049; -1; -1; -1; 762010331; 503367094; 729834265; 204769117; -1; 917244729; 794890179; 105976981; 321406498; 676709308; -1; 937703770; 75319267; -1; 16659913; 682243874; 123591909; 899154376; 841978218; -1; -1; 875489482; 294598352; 634068089; -1; -1; -1; 199670193; 34770214; 120460523; -1; 214955665; 562499553; 741807970; 173636350; -1; 55237024; 703874545; -1; -1; 46852638; 80756980; 91528856; 419536358; 913549964; 928406534; 877384686; 61825041; -1; -1; -1; 580210844; 62831905; 375201520; -1; 990935078; 483481021; 26147798; -1; 980514563; 660298951; -1; 924378738; 140539516; 81113233; -1; 545457709; 108569078; 22028110; -1; 233975451; 38006949; 613371235; 58798833; 98654372; 935300811; -1; 55945409; 78373282; -1; 850585726; 907324776; 137813999; -1; 656459945; 595157584; -1; 819108170; -1; 542415816; 433110931; 47034696; 105705998; 643419959; 993236270; 485222917; 135836763; 540240720; 492266006; 827607440; 634067802; -1; 776861775; 496920966; 293499528; 563234454; -1; -1; 300254662; -1; 829791792; 215689583; 128728367; -1; -1; 996621154; 588637854; -1; -1; 77374675; 621714180; 896789512; 433517526; 274433834; 510858049; 842162462; 503485764; 634925763; 967949456; 684283995; 781010770; -1; 951214809; 199278181; 17446460; 48157959; 305296647; 667316236; -1; -1; 563490628; -1; 32273607; -1; 292882243; 108297569; -1; 32585460; -1; 2080989; 14885713; -1; 312260914; 791724342; 268241006; 717293229; 714648760; -1; 539035927; 916981767; 370600266; 997239166; 289712261; -1; -1; 676986260; 746217256; -1; -1; 483988726; -1; -1; 585089695; 700129658; -1; 244853017; -1; 404076260; 595299731; 534790521; 75373834; 195692392; 583830363; -1; 310469169; 973263840; 938083715; -1; 182655356; -1; -1; -1; 341139602; 741821745; -1; 836395263; -1; 491390180; 443586501; 298632064; 272397052; 528990095; 273779615; 942722287; 340517583; 174453747; -1; 530874817; 401966263; 324916122; 132303301; 484189459; 882130867; -1; -1; -1; 613680977; 919315698; 765885418; 590939017; -1; 278278380; 346883999; 456871128; 60739051; 565501462; 593807266; 897759405; 803114631; 308984555; 647621140; -1; -1; 691325414; 512199943; 829087606; 194048162; -1; 124591550; 640615051; -1; 465654775; -1; -1; 330668948; 238842579; 982923829; 566489924; 253316689; 935722798; 463108245; 474249896; 988787250; 71024315; 536861797; 403701144; 9086635; -1; 813964015; -1; -1; 405274408; 71805351; -1; -1; -1; 661602707; 393831646; -1; 696211671; 833303850; -1; -1; 110877875; 42480834; -1; 596924426; -1; 345623218; -1; 622619926; 396664861; 830611533; 6398155; 447941322; -1; -1; 943856787; -1; 501723678; 913341122; 404526762; -1; 425240605; 357599592; -1; 503202438; 282865950; 905434714; 954865423; -1; -1; 585884497; 572783195; 727734831; 158551983; 523310296; 185002636; 804463186; 419823529; 497570089; 906826636; 298261693; 271882453; 429404699; -1; -1; -1; 435454326; 427002412; -1; 950972907; 550569987; -1; 881341846; -1; 24369315; -1; -1; 976039423; 399431310; 364236052; -1; 959600787; 649990118; 837727874; 343309914; 66569630; 670996330; -1; 587620750; 150411013; -1; 637179281; 853621935; 479162953; 849303241; 23403193; 107306485; 538300415; 749563080; 486881938; -1; 148738498; 260019491; -1; 28849086; 627113918; 651803906; -1; 538329280; 724196188; 509191865; -1; 520916947; 571222418; 377075930; 706734040; 904943961; 986314697; 735020963; 293759642; 382442665; 909115763; 670382283; -1; 196822418; 312603406; -1; 741356382; 197928057; 558242228; -1; 833942455; 60478597; -1; -1; -1; 238719451; 21585828; -1; 420293002; 96719084; -1; 152261167; -1; 934601068; -1; 516128018; -1; -1; 231624333; -1; 281288655; 979433378; 541490568; 436844139; -1; 684163283; 2078314; 692513417; 712128486; 228042722; 39026348; -1; 905375958; 245829884; 830432119; 417429281; 592435782; 37603521; 868849283; -1; 864329550; 934706043; 486464406; 921113331; 910467435; -1; -1; 269173298; 967426297; -1; 271875123; 470012912; 881548754; 638797590; 567519179; 866044934; 946197879; 816335102; 707284392; 952088586; 830405068; 313949873; -1; 378567010; 790006418; 243598362; -1; 108166233; -1; 102855382; 263934005; 492992849; 992955939; 389607530; -1; 153762108; 595400725; 172972800; -1; 248005080; 250272179; 694883647; 932967481; 132012882; 257256437; 283717046; 864791693; 14913856; 929080508; -1; -1; 970650934; 634274833; 362581701; 430929661; 443759967; -1; 39959600; -1; 716839699; 842778372; 851220922; 136200582; -1; 570962173; 38325513; -1; 221156852; -1; 143519245; -1; 694220111; 534192054; 302984276; -1; 216587549; 296982987; 894541799; 144750422; 395852096; -1; 119928920; 231819916; -1; 555859982; 816387304; -1; -1; 318196913; 853140125; 19517643; 236233173; -1; 102732914; 971764453; -1; -1; 271054105; 958326420; 539408411; 268753839; -1; -1; 195156494; 175028921; -1; 621186453; 120998562; 979583277; -1; 292690127; 686091664; -1; 910850155; 242255775; 362330019; -1; 469386462; 933445588; 207613449; -1; 232632679; 922713117; -1; 360286866; 198568763; 301212678; 393749293; -1; 802913992; -1; -1; -1; 686440296; 394726137; -1; 73065616; 113093239; -1; -1; 338565968; 814188767; 519184534; -1; 404473140; 267664316; 232741312; -1; 804925295; 260933432; 1913090; -1; 980340414; 40361345; 405275023; 462069464; 930774147; 258538947; 483844792; 664698630; -1; -1; 545373389; -1; 740718941; -1; -1; 489431835; -1; 65452344; -1; 64363985; 585316641; 355220728; 249861640; -1; 351725930; 644615511; 628418648; -1; -1; -1; 320942898; 85449676; 687968444; 328567150; -1; 964180271; -1; 398110271; 720780917; 457502353; 579901541; -1; 742068599; -1; 425610452; -1; 553755597; 865322792; 551552724; -1; -1; 938709325; 231162084; -1; 634961788; -1; -1; -1; -1; -1; 989880374; 639597446; -1; -1; 630281867; 536240160; -1; 949386623; -1; 834953583; -1; 470497247; 984723548; 972779698; 423581862; 679830250; 748845724; 538713445; 150901472; -1; 333886292; 28342426; 812595143; 908338994; 388516659; -1; 694406508; 835641596; -1; 706423625; 45860826; 657339459; 911734236; 930755109; 460857215; 478940183; -1; 100260929; -1; 865806988; 763074149; 265866480; -1; 179047059; 404538442; 483272551; 989309263; -1; 955802200; 76305074; -1; 739452784; 702610943; 3637536; 153475975; 772628668; 38767977; -1; 155406903; 368355552; 778145869; 346757657; 673944533; 653806784; -1; 286019144; -1; 145910623; 986666075; 583656891; 204864506; -1; 103601511; 545464150; 523921857; 229540547; 829189728; 248622435; -1; -1; 631194906; 997940452; -1; 354961308; -1; -1; 316983764; -1; 846869030; 766758946; 492106625; 41984981; 865036940; -1; -1; 44093559; 469193392; -1; 526286928; 450262218; 256795452; 733941465; 977498161; 928142260; 328513018; -1; 408447020; -1; 782491313; 57660611; 833805208; -1; 509991757; -1; 846214392; 468556546; 342211257; -1; -1; 919200023; 473949949; -1; -1; 626623303; 915043358; 369282286; -1; -1; -1; -1; 622140715; 214280187; 156391382; -1; 278192098; 282373262; 635497854; 423285615; -1; -1; 501730970; -1; 780507803; 11245113; 80903024; 375783697; -1; 736352779; 577148919; 101671501; 61549536; 174480575; -1; -1; 754069731; -1; -1; 120834369; 608667767; -1; 454037541; 904727456; 436655253; -1; -1; 10220836; 709198746; -1; -1; 819709933; 826357336; 962961350; 383773559; 695107756; 606177847; -1; 542005852; 365254383; -1; 285479074; 539677211; 422772514; 40190171; 269212620; -1; 485402992; 895367571; -1; 216973858; 642878715; -1; 597407225; 992768095; 180678553; -1; 173313796; 676367105; 246208729; -1; 366777769; 971884598; 225216845; -1; 414353452; 523748678; 787733748; -1; -1; -1; 303510036; -1; 783569234; 74958648; 907802560; 663066574; 946538584; 950031670; 146122030; 214398788; -1; 338896423; 818964469; 459783821; 530834149; -1; 282468483; 8125481; -1; 529204910; 523813105; 776080419; 765306548; 840936082; -1; -1; 834492041; 542056232; -1; 103664469; 839226173; -1; 105359024; 340257289; 343110563; -1; 690455916; -1; -1; -1; 519589088; 811837973; 836158083; -1; 389889727; -1; 746832595; 91336040; 955137042; 954693688; 471324880; 899051578; 211264002; -1; 25950855; 878413995; -1; 642660326; -1; 847323089; 927725963; -1; 306144925; -1; 259269727; 101108465; 741831218; 965220699; 725455180; -1; 891510531; -1; -1; 409959612; -1; 790877895; 634195420; 380299084; 704245377; -1; 792542427; 471861079; 644086729; 369132075; -1; 808678352; -1; 719932745; 854201241; 888009006; -1; 150997366; 243262672; -1; 66916149; 814502463; -1; 804103164; 356671377; -1; 20732694; 500983036; -1; 639955243; 128025095; -1; 212718697; 663700415; 172188; 760153474; 821824762; -1; -1; 155599242; -1; 911877372; 692907498; 178254292; 878155434; 456456832; 901832995; 659349579; 967242323; -1; 641733809; 329068269; 78687375; -1; 540981254; 486166871; -1; 780764166; 717471384; 867918901; 872533552; 993510851; 167305884; 159029579; 748719718; 6579240; 499015745; 709337253; 30782726; 471446233; 153397983; 762385485; 241753886; 887378553; 893158058; 764652411; -1; -1; -1; -1; 118763095; 118978838; 265816127; 267281813; 678498331; 123538421; -1; 573209112; 514013482; 760104448; 127956632; -1; -1; 590063378; 62852233; -1; 440590412; 830810780; 398378909; 395323411; -1; -1; -1; 329157854; 973380148; -1; 51854831; 575157111; 896703807; 619940920; 704793217; 34624632; -1; -1; 975683712; 772631252; 116793683; -1; -1; 63622679; 205291346; 821231152; 704950232; 633910385; 867886433; 291259544; 938308880; 320021762; -1; 747971503; -1; -1; -1; 469705802; 51230556; 540016001; 435373133; 822842253; 805053624; 937537945; 585462976; 779274240; 77373539; 196852788; 821890306; 545461582; 835736404; 706373803; -1; -1; 400115697; 69266419; -1; 457270802; 269137808; 79962976; 663370424; 135400731; 726600079; -1; 480270497; 247155298; 912432074; 796358139; 39643240; -1; -1; -1; 204640987; 310460296; -1; 137377062; 680650347; 770527850; 851679500; 699565551; -1; 496530600; 145631248; -1; 771502074; 557134763; 901858633; -1; 977816558; 706926546; -1; 998755297; 833147581; -1; 570148662; -1; -1; 659845902; -1; -1; -1; -1; -1; -1; -1; 538592926; 509453962; 600872983; 698054143; 638959993; 41950618; 768665180; 929980200; 117509814; 222649359; 351818783; 387903403; -1; 929567911; 866200752; 440164707; 561101134; 361367951; 780603892; 375823186; -1; -1; 549306039; -1; -1; 388612193; 412796567; 430316656; -1; -1; -1; -1; 797232808; 41947292; 869047597; 334646516; 754854482; -1; 248947972; 792217488; 402130590; 843205493; 300396535; -1; -1; -1; 359612410; 860541539; 215990495; 616246998; 107731030; 7374843; 987257202; -1; 635952847; -1; 903261801; -1; 629345314; 64370493; 399357821; 760240667; 644984459; -1; 299719000; -1; 681017414; -1; 203444431; 139806000; 431859099; 757378528; 403564509; 789678443; 905335019; 629146738; 862134451; -1; 933772722; 195184756; 293839582; 461615643; 893488469; 263826077; 574731492; 806133863; 745136384; -1; -1; 719194626; 505301805; 722607547; 734129665; 591209731; 107718253; 252223749; 568245471; 778996369; 87101463; 48984248; 762976538; 357471943; 31874100; 368271807; -1; 468661936; 538038497; -1; 232184542; -1; 756807537; 480647925; 121292555; -1; 2557495; 253037336; -1; 927626344; 140449023; 118889980; 266334380; 322303553; 602077306; 332849459; 358940450; 413880633; -1; 721771227; -1; 310767056; 770571670; 683981113; 843507453; 595525836; -1; 585492584; 192875470; 640865483; 183473462; 258146021; 953626310; 448755180; -1; 223306295; 944871109; 931285131; 926653211; 996466826; 225143102; 792598699; 770011243; 684263012; -1; 188749911; 858527184; 633734199; -1; 389366965; -1; 136651057; 891587314; 765315363; -1; -1; -1; 216966993; 163158871; 170183894; 584117747; -1; 831873864; 465409620; -1; -1; 952049121; 379857485; 79623305; 451700355; -1; -1; 641777183; 30532010; 194398162; 151876291; -1; 938402560; -1; 824021078; 844411540; 916017298; -1; 579792645; 851306956; 341339498; 399710231; 465962988; 130669143; 448468185; 641657398; -1; 563543548; 768566334; 515814129; 394146756; -1; 526676051; -1; 269587313; 59311167; 934053453; 640105149; 302505412; -1; -1; 118789538; 397958101; -1; 959813364; -1; 946928922; 156032523; 89972741; 567736091; 965529653; 964290124; 917927677; 847714342; -1; -1; 97322451; 661099788; -1; 749463038; -1; 715430179; 765622925; 247666945; -1; 836765983; 343631921; 876726901; 627912023; 423195419; 441839707; -1; -1; -1; 517732701; 59216600; 709787537; -1; 570303107; 631887364; 349783969; 248345684; -1; 72311200; -1; 44363244; 151830719; 978548705; -1; 828444303; 153272951; 134131088; 495044783; 460437994; 217728312; -1; 735109218; -1; 456828452; 490308562; -1; -1; 367792776; 400441743; 742802111; 404821686; -1; -1; 598438538; -1; 785660916; 871343678; 731140041; 680413931; 181011728; -1; -1; 849249802; 722740693; 371346594; 130912032; 145471387; 866491835; 727440673; 721664255; -1; -1; 78652250; -1; -1; 996658126; -1; -1; 647053885; 112167456; -1; 677274927; 198803196; 613510682; 752162769; -1; 607205745; 151761610; 235298486; -1; -1; -1; 641899599; -1; 868772670; 687918144; 285552576; 628656608; 542610654; 312819609; -1; 159569323; 426990396; -1; 771771693; 101953439; 761475037; 116229981; -1; -1; -1; -1; 829426124; 408893455; 176437233; -1; -1; -1; 283217497; 134978665; -1; 15694476; 844968396; 803155535; 193961672; 259436064; -1; 892658261; -1; 30102005; 227792906; 36354305; 603656175; 924643119; 693977066; -1; 263096650; 534787382; 902655839; 805754670; -1; 827111525; -1; 781245506; 614186581; 733682053; -1; -1; 699501410; 214014698; -1; 227030986; 400392041; 354549243; 805535155; -1; 341041089; 473923278; 426638644; 759002993; -1; 854997791; 371151096; -1; 873147865; 394933391; 655985709; 861237709; 510134117; -1; 908591624; 914523016; -1; 470052340; -1; 636211851; 222506896; -1; 392834497; 682857569; 574653858; 23751155; 629503155; 111629534; -1; 204638263; 730092819; -1; 446663267; 142911631; 722554606; -1; -1; 457655908; 860541446; -1; 943632750; -1; 31074627; 45340610; 606539452; 864840213; -1; 442581147; 686278385; -1; 820893589; 83920288; 752259077; 623993068; -1; -1; -1; 948436000; 991689570; 123352244; 751246; 501377887; -1; 109327969; 626706174; 873638860; 133516308; -1; 113176961; 174143229; 246853175; 426824997; -1; -1; 370271084; 457839301; 725963629; 936877565; 644975544; 941055199; 233489440; 460912011; -1; 69135408; -1; 700501389; 580010456; 559375876; -1; 544544610; 212130738; 420182644; 996528415; -1; 820377075; -1; 801726691; 546164258; 730008209; -1; 213819144; 919187469; 774416624; -1; -1; 240382376; 712881096; 572157110; -1; 147871758; 833824005; 791455083; 453150145; -1; 728384370; 961332137; -1; 549773848; 806398906; 189148478; 226755302; 761275355; 71360361; 892806150; 466569911; 761037313; 346963298; 60756282; 439968429; 476276987; 542163207; -1; 966491928; 318202689; 443020855; 765325636; 869017807; 653149447; 243541515; -1; -1; 634732966; -1; 432598837; -1; 831120568; 416148614; 309083614; -1; 414828123; -1; 309851437; -1; 369532899; 69571663; -1; -1; -1; 803206622; 373700182; -1; 384144889; -1; -1; 504354202; -1; 772527734; -1; 345297707; -1; 66374419; 794767757; -1; 819641980; 657569409; 651434304; -1; -1; -1; 355535298; 627186320; 926355007; 701307965; 509999582; -1; -1; -1; -1; 525176911; 741601093; 861323410; 239527419; 333989410; 558722180; 304272367; 160849477; -1; 596178356; 56976679; 493207495; -1; -1; -1; 319740403; 490640710; 2060652; 221894802; 336282395; 69715571; 220731731; -1; 279668510; -1; 432905702; 979860746; 338759690; 846928742; 126191044; 824571691; 763451432; 364696488; 297271127; 34485420; 411856589; 568525060; 263228072; -1; 310131685; 300739741; 973555565; 517793399; 6822271; 55734265; -1; 128859923; 737633883; -1; -1; 630091959; 422745420; 190847362; 485775945; -1; -1; 622218943; 688880226; 534347941; -1; 368623385; -1; -1; 375770821; 385282427; -1; 988880860; 917305207; -1; 892277531; 705506445; -1; 569242840; -1; 993243635; 442044895; 613320698; -1; 492649612; -1; 358370564; 454732251; -1; 198253301; 878627434; -1; 871778839; -1; -1; -1; 25265662; 684225773; 207539096; 623347756; 350131751; 510018125; 565348528; 988067366; 905120688; 820809214; -1; 713264905; 177315129; 900295192; -1; -1; -1; -1; 980119397; 419841710; -1; -1; -1; 818108556; 921616639; -1; -1; 199215784; 256946487; -1; 287240303; 795333370; 277255593; 385433088; 632474281; 655604318; 311930058; 27552909; 787971104; 481956988; 953513714; 872080165; 335398258; 970199274; 925032247; 489463319; 670941347; 395441444; 771397376; 645644147; 670830208; -1; 953715997; 633753731; 649635022; -1; 900752781; 312876089; 321076032; -1; -1; -1; 638421914; 171433875; -1; 289290712; -1; -1; 408806579; -1; 536682331; -1; 740562301; 443789366; 113330771; 64362500; 24791197; 450475077; 838539954; 60294258; -1; 215578886; -1; 190154499; 215708609; -1; -1; 550067785; 596296402; 647128064; 615812878; 635811010; 394125781; 902801908; 813813709; 201619827; -1; -1; 37511399; 949089459; -1; 998829302; 767049382; 829170690; -1; 56638849; -1; 236458265; 119897813; 501537190; 193534347; -1; -1; 948516343; -1; -1; -1; -1; -1; -1; 777464894; 64914946; 185895358; -1; 983976542; 150966858; 924620682; -1; -1; 949331031; -1; 733698205; -1; 483673295; -1; 133388282; 328432152; 389281152; 4568714; 502987570; 281587628; -1; 735824041; 5209571; 932543344; -1; 762572726; 55486739; -1; 374859171; 25944839; -1; 419176317; -1; -1; 975557402; 615281533; 111621049; 881652364; 569297452; 176476985; -1; -1; -1; 941065803; 938729536; -1; 959237609; 45998945; -1; 314938469; -1; 188019444; 425677499; -1; 179412883; 403593759; 69371194; 701107387; 879854302; -1; -1; -1; -1; 658493647; 874386699; 337283321; 238541188; 18736501; 260926114; -1; 314551013; 399364117; 289881127; -1; 810833976; 437982122; 610802021; -1; -1; 495200189; 683911231; 940456804; 843013035; 434725685; -1; 696342049; -1; 801279523; 621768268; 190661746; -1; 184503999; -1; 472992234; -1; -1; 534109927; 211192253; 432728494; 254543806; 293806919; 653196393; 257877636; 779978359; -1; 241465721; 495855525; 308429734; 456482586; 562063079; 727897209; -1; 349951155; -1; 964690833; -1; 913395432; 981201781; 426193935; 362104088; 847270552; -1; -1; -1; 223854267; 311872285; 643119485; -1; 207115070; 480809613; 346067838; 257622749; 391036635; 759208857; 659366754; -1; -1; -1; -1; -1; -1; -1; 920578450; 427604971; 462126703; 739973889; 459903756; 591083541; 455073373; -1; 12159287; 961881657; -1; 189147785; 473305753; -1; 842443433; -1; 679664469; -1; 372367480; -1; -1; 388563399; 476185638; -1; 537253269; 401097623; 839358117; 842448489; 806850348; 204836067; -1; 284980526; 267107303; -1; 520581296; 874566097; 53311317; 230475934; 442909941; 699096620; 752367127; -1; 149738831; -1; 417846105; 73304072; 817146699; 26764442; 408534202; 552533691; -1; 439704445; 123292395; -1; 252937820; 456525664; 369712894; 395953400; 876339996; 679621864; -1; 906919663; 634042776; 844912534; 556481709; -1; -1; -1; 975357171; 913983630; -1; -1; 899007128; 172002806; 273010663; -1; 314432534; -1; 723704905; 402596130; 780084915; 824912961; 122861899; 917982245; -1; 156173761; -1; 13147914; -1; -1; 41060025; -1; 625331484; 174367228; 949521454; 193434044; 990514598; -1; -1; 972439781; 191759416; 287316881; -1; 568006076; 385380428; -1; -1; 197025245; 22258086; -1; 897812549; 4054442; -1; -1; -1; 619010967; 384106751; 28188806; 629940160; 721018409; 893277392; -1; -1; -1; -1; 956524089; 440207720; 186618691; 573954736; -1; -1; 430651152; 232772310; -1; 58307646; 748032853; 386955955; 417287012; 532218588; 97143279; 336566120; 695384904; -1; -1; 354959642; 97075572; -1; 183929582; -1; 391153727; 647389498; -1; -1; -1; 834234303; -1; 130602010; 603001910; 326125532; 508046945; -1; -1; -1; -1; 409014220; 268166904; 655768552; 877631123; -1; 80648964; -1; 136405473; 92164243; 363150294; 111426696; 989926105; 120534716; 588528364; -1; 815421641; -1; 520315515; 977269749; 174938755; 43591750; -1; -1; 518104312; 881040980; 903321430; 68054085; 817312444; 959943412; 75339964; 539553584; -1; -1; 587716466; 742854774; -1; 828977479; 889114784; 432428629; 459171308; -1; 28783084; 352226078; 529659162; 386768256; -1; 654362763; 918096836; 760714316; 556560368; 233873839; 154600334; -1; -1; 423900225; -1; -1; 272750852; 91998552; 858080191; 724612260; 386964923; 385181387; -1; 410806557; 789866414; -1; -1; -1; 489202744; -1; -1; -1; 564017745; 359304910; 978007353; 396968730; -1; 818370036; 36976772; 732629407; -1; -1; 192240727; 228326114; -1; -1; -1; 353334567; -1; -1; 35445607; -1; 921979187; 543430495; 77383933; 343559531; 257289968; 238365771; -1; 366651066; 970017626; -1; 903517494; 66773925; -1; 559864360; 736061122; 285706281; 786844137; 605035035; 615026013; 783081390; -1; 726311063; 559881306; -1; 464989535; 567092611; 148409717; 130568039; 152054799; 390148295; 957168455; -1; 678223265; 623113192; 711626131; 465189930; 390324485; 644797889; -1; 605009682; 895112383; -1; 779051407; 982407906; -1; 552422197; 867060114; 700939842; 6312017; 203396105; 385070324; -1; -1; 936068615; 764603395; 632576301; -1; 165687411; -1; 48432275; 567727442; -1; -1; -1; 963496789; -1; 430236226; 462020846; 987181911; -1; 778503150; 166917973; 856469061; 425105541; 993416423; 645737861; 604617608; 525237362; 789624009; 315533697; 455400392; 376567737; 283104431; -1; 298974495; -1; 142349619; -1; 396111354; 345494573; 216439707; 422603058; 315109169; 371090405; 945710059; -1; 824267906; 823216091; -1; -1; -1; 238365803; 936745565; 957181791; 495294459; 595012347; 910766832; 69277162; -1; 16058346; 807525507; 744898501; 330767014; -1; 921698834; 198705678; 776938704; -1; -1; 990643261; -1; -1; -1; -1; 878068894; 875972317; 554984579; 577019813; 680677245; 354803920; 366672572; 312760030; 530838603; 387891981; 294529464; 496193008; 501728349; -1; -1; 812914148; 880347939; 36558404; 490163552; -1; -1; -1; -1; 908113404; 123654419; -1; 128236745; 39306627; 93936483; 277654007; 467775035; 969502129; 784964698; 567649019; 384879344; -1; -1; 846282077; 514424412; 339144418; -1; -1; -1; -1; 927403416; 448165229; 283624418; 59812393; 605505626; 405004435; 310719292; 208856703; 71043451; 386993310; -1; 254187308; 55312385; 547735681; -1; -1; 929699449; 351048658; -1; 355423931; 798394697; -1; 698483772; 501586580; -1; 702185956; 913994311; 379452561; 275369859; 769709970; 834645353; 572121305; 369876241; 166160978; -1; 661079475; 233571137; 783780873; -1; -1; 42170503; 853646607; -1; -1; -1; -1; 360012821; 128864696; -1; -1; -1; 331143001; -1; 277055600; 564613462; -1; 660710688; 535368770; 334853378; 729621604; 229891549; 297928643; 317674830; 383257410; 291887098; -1; -1; 654004808; 484805815; 437497357; 840051008; 369228622; 64203362; 157204170; 775422602; 63447491; 157505710; -1; 335048428; 329238461; 654525224; -1; -1; -1; 501716922; 419441034; 238519481; 530713847; -1; -1; 375643868; 991944223; -1; 946131972; 282954462; 591318324; 452969923; 197669114; 950411526; 901899939; -1; -1; -1; 262663060; -1; 788390691; 71016282; 822207247; 375270408; 930416740; 896229557; 880256336; -1; 602157236; -1; -1; -1; 442752715; 486777046; 499208441; 816798484; 312615627; 421022140; 456492697; -1; 203592463; -1; 751573968; 301529987; 719967301; -1; 74871936; 220630638; -1; 204826739; 434117492; 164960487; 301093055; 55542999; 65731186; 712650939; 239702819; 170221051; 969456071; 667752391; -1; 626254600; 523167243; 587446563; 139841634; 185449142; -1; -1; 617026384; -1; 612734801; 662044974; 789727541; 900773313; 109977841; 713947934; 130396333; 638735605; 687905235; 967144902; 480511037; 744631468; -1; -1; 665034141; 602979310; 133657288; -1; -1; -1; -1; -1; 905352727; -1; 972177737; -1; -1; 403206673; 377366090; 662121083; 688138731; 649427402; 310411826; 560887738; -1; -1; 30813910; -1; 445027816; 593408246; -1; 838815757; -1; 31892213; 881221961; 640751675; 450698683; 202357408; 504680678; 384504310; 885621041; 512468421; 475302356; -1; -1; 603450690; -1; -1; -1; -1; -1; 748382934; 851144393; 129932338; 711171702; 935041569; 343362769; -1; 263668450; -1; 736502645; -1; 24144919; 153784217; 108734466; 728631465; 860709659; 676173874; 973840040; 134593817; 656579610; 950571287; 990457275; -1; 515624100; 673474059; -1; 86270793; 496789028; -1; -1; 263043027; 306663116; 821432669; 681981804; 82561484; 482684063; 878045744; 389514113; -1; 819390898; -1; -1; 562137148; -1; 935806866; 796026031; 715978560; 273973045; -1; 208338570; 266103014; 848750188; 373772939; -1; 517607469; 332845991; 642920348; 654414325; -1; 757582331; -1; -1; 180859310; 364009721; 794558360; -1; -1; 375194227; 148176529; 679031498; 480937226; 410098049; 131349189; 411942; 327729558; 655333079; 339166357; 531995982; 779310974; 910243920; 609077126; 497514941; 635198352; 381914273; 100976290; 223022334; -1; 246946237; -1; 104384336; -1; -1; 958992488; 548523983; -1; 851857146; -1; 289602552; 294766664; -1; 84089453; 863376509; 165192285; 133137224; 61319302; -1; 660371653; -1; 912568811; 907828417; -1; 49338595; 145140351; 424188661; 752432173; 74428034; 523406901; -1; 16551519; 431726948; -1; 910113371; -1; 165222196; 467026080; 672239527; 163643343; -1; -1; 661812420; 303371940; 915825561; -1; 102108350; 23490882; -1; 705533906; 225240493; 261031730; 307939301; 608643540; 2138646; 239197274; 323296313; -1; -1; 151987025; 655765992; 366231242; -1; 94394624; 702694420; 95022352; 943973340; -1; 667785350; -1; 429301951; 362095301; -1; -1; -1; 984603127; 899641094; -1; -1; 143842782; -1; 994322275; 87317678; 642374061; -1; 797693124; 743668748; -1; -1; 987432660; -1; 972926554; 245639837; 956159141; 471829155; -1; -1; 159720320; -1; 939158399; 136755046; 725836649; 144417623; 43862152; 27254939; 558613755; -1; 244930815; -1; -1; -1; 935407685; 394114526; 97736076; -1; 445631534; -1; 435067583; 691327979; 58540782; -1; -1; 612281475; 297246330; 237755391; 398309030; 995707820; 297913490; -1; -1; -1; 107298233; 70982185; 705304550; -1; 386522655; 326303716; 725860612; -1; 657500163; 393523397; 772054289; -1; 128735171; -1; -1; 3422126; -1; 31179347; -1; 701411453; -1; 135025155; 265306913; 820849553; -1; -1; 170707397; 819554951; 853398410; 950779582; 387632180; -1; 942311588; -1; -1; 546621305; 573418012; 336782877; 499053164; 498901854; 823883704; 129313205; -1; 857452338; -1; 523415197; -1; 174910038; 865445860; 438576203; 950555813; 880721488; -1; 107062709; 62737887; 230985372; -1; -1; -1; 942335709; -1; -1; 584769805; 944417174; 833923353; 362513839; 244237442; 779883110; 812885697; 309574022; 743112635; 235450720; 968924875; -1; -1; -1; 179077606; -1; -1; 993727077; 934511298; 645098897; 430596068; 40500953; 396850889; 883395623; 56033744; 897342078; 272281491; 403190070; 535009817; 225521211; 243903092; 712079044; 79926067; -1; -1; -1; 67623849; 160638284; -1; -1; 761854028; -1; -1; 173965611; -1; -1; 893474858; 233046090; 552419827; 213564215; -1; 942375920; 91085946; 242710260; 762507171; 131151059; -1; 682944492; 620980072; 25645554; 215989743; 807381508; -1; -1; 393434136; -1; -1; 204481649; -1; 855245656; -1; -1; 288954124; -1; 49083443; 387872090; -1; 349084929; 332020051; -1; 688568056; -1; -1; -1; -1; -1; 33577314; -1; -1; 673991236; 770106528; 394321992; 646468427; 343027611; 141479950; -1; 801631634; -1; 333499045; 27281683; 445159109; 203390816; 362936230; 197505496; 377710719; -1; -1; 107334404; 686079946; -1; 178017001; -1; -1; -1; 257134192; -1; -1; 713658388; 638697672; 522820137; 460258153; 808314698; 629719420; -1; 316710130; 688817566; -1; -1; -1; 844489420; 353037237; 673444826; 560865351; 599536599; -1; 675984765; 439819251; -1; 53830980; -1; 3434763; 616436752; 318973530; -1; 901022943; 273378952; -1; -1; 280536359; 247385541; 757192879; 599972840; 775470465; 269170768; 700518277; 598130240; -1; 915819604; -1; -1; 838298365; 380032350; 832783040; 821721660; 441792972; 392423151; 282497960; -1; 164619675; -1; 223320991; 323208412; 579621071; 376299570; 747094910; -1; -1; -1; 806281849; 486777452; -1; -1; 897893626; -1; -1; 982929732; 636465231; 797990997; 836517090; 774731710; 726112767; 51774324; 307892297; 924953132; -1; 508704182; 456630514; 788298350; -1; -1; 873099066; 809983175; 695815651; 752673093; -1; 572580002; -1; 757604315; 145165224; 159871969; 646031966; 616795536; 757787570; 158724923; 47126826; 301302498; 144739039; -1; 504023113; 887536050; 61556717; 888427957; 714682228; 219730567; 616598327; 942402004; 212664802; 704698460; 83593429; -1; 952446151; -1; -1; -1; -1; 285380937; 999701782; 166436733; 83809958; 682588866; 157439387; 717553875; 160599231; 65723485; 841492739; 982112963; 856469997; -1; -1; 32437831; -1; 13249861; 47415840; 43382213; 877825370; -1; 934012469; 801684973; -1; 541862721; 158920511; 961615124; 687682988; 774034572; 625195114; 464172334; 552935948; 527739592; 910093517; 113871164; 381139046; 272187611; -1; 359743266; -1; 226289698; 264422381; 842648414; 48322737; 226687623; -1; 23549724; -1; -1; -1; -1; 783994487; 374533002; -1; 247160881; -1; 351962548; 92755602; 179628814; -1; -1; 746632197; 40558555; -1; -1; 480824273; 157413375; -1; -1; 767702081; -1; 648604541; -1; 112975549; -1; 351347871; 867406875; 875813071; 740642269; 918055938; -1; 23303398; -1; 498519500; 195836214; 958660754; -1; 144914350; 150451371; 518622886; 146141244; -1; -1; -1; 132059327; 309334288; 149016770; -1; 368852359; 852026045; 828117523; 259530217; 514314455; -1; 798459891; -1; 488389558; 754340652; -1; 619512605; 674385419; 395462217; -1; 777421465; 520075201; -1; 326573684; 852858492; 859995988; -1; 215294865; 654944078; 24239400; -1; 513576462; 847151881; 644002545; 509305290; 562164515; -1; 145434631; 615682272; 676893232; 27542453; 53600750; 39715783; -1; 153976831; 499915081; 689782672; 894293811; 476465731; 629556669; 465776617; -1; -1; 794663343; 426002477; 4301748; -1; 17599005; -1; 910598383; 378410166; 675530040; 849396293; 257290991; -1; -1; 548986199; -1; 736041250; 658363258; 858888099; 998618196; 136440813; 142927501; -1; -1; -1; 47186843; 269367229; 530117779; 155569975; -1; -1; 614787571; 971211091; -1; 140923558; -1; -1; 751467358; 50399825; 740108684; 754111941; 131223279; -1; 434168132; 680967462; 841039548; 864475295; 337395260; 905752615; -1; 446983977; 866267458; -1; -1; -1; 872878089; 753696123; 387053752; 162434856; 406657686; 979613864; -1; 395052571; -1; 478450032; 110904677; 77583295; -1; 180153488; -1; -1; 564324492; 134858384; -1; 164739568; 369925265; 790444004; -1; 232655700; 999860951; 417037559; -1; 545106741; -1; 298953936; 189140852; -1; 987715788; 667333613; -1; 932188880; 816593609; 454265082; -1; -1; -1; 443634519; -1; 341029444; 486292282; 415777203; 216076742; -1; 849634212; 587619553; 12708279; 877792603; -1; 412207609; -1; -1; -1; 414714508; 543722515; -1; 942780613; 440250063; 507161206; 372684218; -1; 384044979; 76232002; -1; -1; -1; -1; 467830756; 286216969; 42896446; 864622695; 447221772; 330832409; 657330869; 154555276; 277701993; 900474645; 109745309; 967767764; 170230524; 99758141; 879272079; -1; 257338026; -1; 523441121; 354030768; -1; -1; -1; 824634131; 998965581; 429767768; 865172525; -1; 795580502; -1; -1; -1; 829532170; 843436144; 256129035; 911591205; 661812694; 734936448; 706121574; 60966399; 457121315; 172139752; -1; 123358606; 993340721; 233876623; 916817484; -1; -1; 194590559; 701499340; 729235763; -1; 47169349; 242544445; 875327317; -1; 899892698; -1; 579332245; 93993540; -1; 850777478; 357048943; 714758383; 344151454; 495903926; 941291168; 109774374; 927573539; -1; 471000295; 900030071; 666174065; 515828372; 324616939; -1; 714235420; 840429694; 185667296; -1; 249418873; -1; -1; -1; 868088957; -1; 569821873; -1; 530599155; 186717150; 358587089; -1; 499195750; 536247302; 615318613; 430844684; -1; 791749564; 952156138; -1; 279035177; 993660941; 58580861; 992513944; 983711575; -1; 481557010; 349987511; 27213491; 425983721; 604955689; 261997530; 153804637; 204931940; 331680833; -1; 430389657; -1; 721183711; 116912849; 299699142; 70068721; 571466353; -1; -1; 857922784; -1; 800610815; 270396922; 292404192; -1; -1; 998121807; 353563352; -1; 90368551; -1; 95362021; -1; -1; 336492569; -1; -1; 686496075; 130193480; -1; 764879175; 264475785; 711644001; -1; 629265196; 444126810; 375604134; 179779176; -1; 861394795; -1; 135769850; 632073911; 130971493; 973443139; 185806890; 132300524; 830611547; -1; -1; 420045030; -1; 331668303; 44466640; 652093772; -1; 537172076; 838450579; 803230197; -1; 678760965; 54814411; 458031871; 906682082; -1; -1; -1; -1; -1; -1; -1; 522527690; 240059616; 439402727; 869987135; 546717814; 973792584; -1; -1; -1; 498970729; 45831281; 226718542; 672523504; 167175034; 474235487; -1; -1; 444698351; -1; 9472300; 870340838; 652061280; 581965335; -1; -1; -1; 580391422; 465039318; -1; -1; -1; 862115908; 525380945; 154765820; 451158210; -1; 647787112; 875632612; -1; 622993977; 534724275; 744594984; -1; 472971143; 36823570; -1; 532041542; 181551529; -1; 27260043; 853177048; 451417049; -1; -1; -1; 291320302; 600793118; 422300076; 316494449; -1; -1; 834654941; 425147832; 795033695; 251136998; 188485177; 832165024; 64795112; 510787607; 924605871; -1; 133924339; 311653364; 101126752; 347626441; 490134105; 617734204; 499543855; -1; 58023170; -1; -1; 538798563; 469435013; 379684040; -1; -1; -1; 523519930; 736763796; 297382092; -1; -1; -1; -1; -1; 269766062; 134625753; 52930119; 360187237; 758285459; -1; 87864416; -1; 730697858; 871580472; 631233114; 946706228; 4132548; 339485363; -1; -1; 715442015; 308229262; 550644498; 734604097; 235423779; 193898433; -1; 14736598; 543378022; 427355347; 95689588; 7257364; 188806252; -1; 623339545; 3304480; 9138820; 909535963; 12471369; 303132858; 735684931; 12551628; 395481206; 431018134; 441532609; -1; 902922885; 679428157; -1; 328289035; -1; 569800264; 689152794; 631925784; 232385328; -1; 629423574; -1; -1; 528359023; -1; -1; 365064887; 681106469; 125174320; -1; 361517854; 535957616; -1; -1; 178176922; -1; 606348075; -1; 814898211; 939464814; 47719613; 105307967; -1; 628177166; 782136955; 993031741; 159801208; 777366202; -1; -1; 950084141; 959870533; 56034851; 780752345; 685421068; 297061731; 198406253; -1; -1; 642889342; 371671558; -1; 301596619; 729198367; 795473727; 30581075; -1; 176406257; -1; 557542037; 966269699; -1; -1; -1; 633430418; 852241011; -1; 100336358; 314908132; 699346467; 344428782; 227791917; 626773045; -1; 353546935; -1; 524475383; 66540016; 65241099; -1; -1; -1; 976841140; -1; 316301916; 272093082; -1; 204420736; 643889680; 34200132; -1; 393020121; -1; 527743477; 11313089; 414885741; 318239968; 471017638; 460418010; 64381865; 119765269; 154420459; 841647629; 826208097; 717505992; -1; 127022588; 810342671; 49299115; 814205057; 66047214; -1; -1; 909383858; 847060177; 103642703; 949637623; 752673813; 289917105; 525919858; -1; -1; -1; 456004239; 790482973; 763955532; 582857770; -1; 553664089; 326043115; 236871860; -1; 661431217; -1; 230420124; 167007671; -1; 760893544; -1; 58499277; 964690870; 953461551; -1; -1; 169319453; -1; 442100023; 296088301; 348358875; 827347670; 566006121; 34864041; -1; 612227364; 371094030; -1; -1; 54674301; 266232756; -1; 133079352; -1; -1; -1; -1; -1; 123629107; 990029914; 320323793; -1; -1; 901040154; 505751038; 996343917; 98404959; 41938396; 50325130; -1; 544845303; 420659934; 609441174; 287422428; 257014262; 582648728; 616225603; -1; 88384028; 379917901; 302036110; 332479814; 208500508; 799564898; 299730009; 868262858; 715872831; -1; -1; 563042075; -1; 619686528; 56331114; 914405567; 3845255; -1; -1; 268979052; 769487987; 269733319; 948620964; -1; 856033908; 97186044; 717094880; 309950999; -1; 784286637; -1; 551957260; 628486142; 241077728; 208645579; 692716921; 466813075; 738266328; -1; 915866663; -1; -1; 485911632; 891222790; 951656536; 366797139; 858124606; -1; 697293155; 115119143; -1; 293533055; 627948589; -1; 764281330; 558465006; 275552765; 582882448; 854038981; 830342824; 408940619; 82500802; 424738848; -1; 220495191; 690532301; -1; 683117267; 469789806; 848692662; 397422795; 575023173; 437662554; 507364314; -1; 893745788; -1; -1; 5685265; 481859031; 72004409; 351839037; -1; 840797318; 416094699; 386470236; 161340911; 405247601; -1; -1; 95038827; 48497578; 155867067; 208860865; 642335706; -1; -1; -1; 641028330; 253954726; 240815635; -1; 181170644; 751615; 779684678; 306613691; -1; 218371185; 986330590; 44215829; -1; -1; -1; -1; 495971324; 925858095; 238315217; 995849010; 991744184; 756507630; -1; 629452141; -1; 381222176; 503440770; 14213593; 900357344; 221838590; 175380576; 944959725; -1; 79985246; 147783007; 485766518; 454328597; 538683954; 953180814; 324643397; -1; 201763179; 384024931; 119575775; -1; -1; 844168755; 519923761; 274163385; -1; 361637821; 205949784; 912624693; 743301371; 387936361; 380622271; -1; 289343925; 864915800; 136783751; 667854054; 145966220; 679529536; 353084653; 371889582; 28631987; 375539339; -1; -1; 915469560; -1; 769373047; 995015749; -1; 483282030; -1; 733287299; 41879477; -1; -1; 142121083; -1; 330873405; 478741656; 338085987; -1; 223280635; 879504770; 530311387; 31445768; 576048362; -1; 922444077; 841281087; -1; 841280073; -1; -1; -1; 11208742; 456803586; 304297225; 786548033; 316896182; 562282140; 738008694; 836644394; -1; 72298301; 315219602; 446592302; 459174891; 227552903; 761776907; 888240409; 983180440; 810666218; 200064091; -1; 533428440; -1; 802393055; -1; -1; 887467848; 725147106; 242286834; -1; 850246662; -1; 495347445; -1; 161965415; 948517774; 866798195; 816771087; 247081928; 960417783; 539145976; 765732069; 727519811; -1; 735885522; 469971089; 516744992; -1; 693928176; 235400819; 372073351; -1; 560379264; 102798346; 419181047; 300800779; 221108653; -1; 408744742; -1; -1; 644933781; 880940457; 12346499; 516573189; 193331413; 100420689; -1; 88742638; 19073009; 467214596; 732769653; 825003462; -1; 124366456; 82598835; 832185156; -1; 244260077; 200765028; -1; 870256835; 319250477; 922011651; 951648937; 521829111; -1; -1; 614904229; -1; -1; -1; -1; 603987150; 429862310; 846141181; 33538162; -1; -1; -1; -1; 589065080; 756915722; 261604199; -1; 574934561; -1; 612583592; -1; -1; 388468852; 902889676; 891511138; 470011062; 588223387; -1; 223823476; -1; 281867438; 697124790; 305444873; -1; 352855575; -1; 509945077; 48100129; 788994932; 853649784; -1; 919072263; 718504267; 277211022; 897941064; 934464627; 640244071; 427374648; 919963653; 979236777; -1; -1; 466439593; -1; 167156973; 382924127; -1; -1; 818002541; 576092072; -1; -1; 510657205; 120832263; -1; 379163788; 229815410; -1; 793807277; 494962984; 466726573; 652915169; 75355848; 998419060; 322919185; 80493427; 547616196; -1; 515594597; 445489805; 118083206; -1; 721168293; 286062215; -1; 655748494; -1; 372482024; 660869447; -1; 736987495; 802561144; 340350479; 397997080; 829919061; 604822164; 649346797; 711722185; -1; 992050649; 590512433; 159487492; 348566138; -1; 210148860; -1; 178162106; 337838412; 268710229; 890911595; 265556983; 629501022; 264947765; -1; -1; 874811426; 120598222; 333196183; -1; 940265069; 536240112; 389064692; 637762650; 151105962; -1; -1; -1; 919093457; 622587979; 993459591; 901939447; -1; -1; 429564709; -1; 487924233; 735474634; 227363132; 150422324; 458833259; -1; 333384481; 360148734; 963471668; 680357917; 418737237; -1; -1; 511937954; 283310837; -1; -1; 486888260; 186881933; 536787888; -1; 422027659; 150448233; 217491420; -1; -1; 817135812; 536951420; 982777302; 84741717; -1; 130472450; 353741992; 384679496; 751374629; 84069298; 7680687; 361102021; 947392797; 734789738; -1; 599366326; 997296144; 171305605; 820170076; 845488451; 681527995; 857028481; -1; 877566860; 213799225; 514650908; 656593594; -1; 9640637; 396997279; -1; 539515948; -1; 86563353; 984660274; 888595022; 578108340; -1; 779037750; 363841726; 476080605; 253910940; -1; -1; -1; 966771044; 33160649; 101803128; 33887160; 536947613; 402490685; -1; -1; 224772744; 312013850; 721321410; -1; 733327487; -1; -1; -1; 749162107; 198291; 387277048; 533243742; 701373699; 902123158; -1; 847510660; 310972713; 339272196; 616221494; 171143133; 772792880; 100491052; -1; 90951101; -1; 637099086; 101507116; -1; 406558571; 106687196; 546395573; 896078346; -1; 75157033; 531252471; -1; 22655723; 64096674; 819300010; -1; 697928812; 667637121; 482139716; -1; -1; 414840006; 743847380; 384958399; -1; -1; 984818713; -1; -1; -1; -1; 961608415; -1; 133863974; 899107932; -1; 885556861; 916432406; 117185050; -1; 869181193; -1; 317939303; 660328389; -1; 967208442; -1; -1; -1; -1; 422035734; -1; 951948216; -1; -1; 100835332; -1; 841592649; 407047461; -1; 539106070; 700904365; 98931397; 787616135; 720760230; 250734825; -1; 366237433; 621873904; 374456472; 234985938; -1; 150919780; -1; 455322905; 399658319; -1; 213733717; 816452201; 991098728; -1; 711017671; 4451111; 288076677; 737726168; 733564194; -1; -1; 580585404; 982197976; 934562918; 166410142; 651240611; -1; 83764888; 740807917; 940941385; 821105819; -1; 139042034; 976646050; 92451822; -1; 836830704; 335315200; -1; 7671302; 611243531; 655716025; 995040114; 909769366; -1; 871855729; -1; 487614096; 813584205; 172229769; 363333853; 31663456; 33461603; 913987882; 955372761; 75110760; 795559181; 682319946; 570967973; 567179929; 803496811; 404040874; 623730506; -1; 59655434; 595260458; 544123325; 198411505; 372245165; 325116866; -1; -1; 249843781; -1; 746792904; 166897784; -1; 13410252; 558525532; -1; 864275556; 871834418; -1; 974065678; -1; 249626765; -1; 397726625; 770391959; 216821077; -1; -1; 847149813; 567349193; 366764613; 396293751; 926072128; -1; -1; -1; -1; -1; 375880952; -1; 939772268; 291091015; -1; 34088101; 76339724; -1; 409090472; -1; 818597317; -1; 775969746; -1; -1; 358302; 743893733; -1; 646027048; -1; -1; 52320196; -1; 932707571; 133709369; 218853202; -1; 963250758; 915227027; 116397896; 126502969; -1; 154200465; -1; -1; 736733603; 678369923; 234927959; 688972832; -1; -1; 972162244; 29039340; 731643447; 392172416; 898830250; -1; 740530459; 889571685; 647974984; 17308560; -1; 769112074; 414584175; 756417935; 102962960; 97180194; -1; -1; 937237446; 438010598; 156232157; 156594237; 99944437; 787295699; 797264249; 822702781; 567783825; 947886263; 631112373; 853367075; 836426856; 483820849; -1; 619800185; -1; 794725760; 115142268; 238513767; 365728250; 386169360; 70491528; -1; 820702182; 633963002; 986319807; 840477544; 653664051; -1; 380572768; 797402756; -1; 791341514; -1; -1; 382021857; 620787248; 994817433; 639938383; 906089325; 45198684; 532278798; -1; 187169942; -1; 157621439; 391387089; 366953269; 606326306; 182595032; -1; 355161568; -1; -1; -1; 724616442; 40311922; 799069495; 256135980; 879994326; -1; 420185554; -1; 179058092; 67422744; 91557266; 32691885; 822080921; 284443977; 260797278; -1; 532497082; -1; 68907631; 943706091; -1; 544772998; -1; 457025931; -1; 966858706; 570883142; -1; -1; -1; 133859219; 197732769; -1; 831563997; 550038124; -1; -1; -1; 722750889; 847905635; 262519297; 304732332; 467412827; 843900742; 334559366; 92065315; 152186484; 938593564; -1; 558421672; -1; 793658832; -1; -1; 662879943; -1; -1; -1; 884370220; 369848450; -1; -1; 940605683; 867368444; -1; 37348254; 565265577; -1; 974023089; 677502993; -1; -1; 418687472; -1; -1; 918705618; 350958547; 319992606; -1; -1; 307533585; 832903556; -1; -1; -1; 657251609; 288888096; -1; -1; -1; -1; 364280222; -1; 591439002; -1; 355008810; -1; 913000984; 447009807; 59046732; 428552752; 169527023; 909082886; -1; 836359314; -1; -1; 420016943; -1; 447419457; 918780992; -1; 567519856; -1; 935713148; 577563514; 47042712; 348437394; -1; 169035219; 621462064; 427512757; 404937796; 586800259; -1; 879869190; -1; 897706182; 85572304; 41385127; 409162601; 907976409; -1; 524576474; -1; -1; 970749896; 483690910; 250754319; 42017291; -1; -1; 299993123; 683847964; 859682372; 247107789; 962576237; 959713574; -1; 423683106; -1; -1; -1; 412124624; 987660144; -1; 470563316; 36202632; 703316377; 867823646; 153797847; 445416658; -1; 863707377; -1; -1; 312384165; -1; 662944936; 567453282; 45011729; -1; -1; -1; 427575918; 845166104; 354064313; -1; 78394595; 530159159; -1; 809054256; -1; 351212027; 737458671; 12109231; -1; -1; 351457102; -1; -1; -1; 559396938; 202459286; 112807966; 177474416; 425226168; -1; -1; 217272907; -1; 476800277; 988911056; -1; 82201077; 900099527; 336838377; 623409378; 8396515; 462308190; -1; 359229343; 94527973; -1; 328310388; 411601182; 428068967; 467285978; 585750111; 312974383; 935009511; 43799697; 753410012; 740775297; -1; 104105578; 541837777; -1; 251614234; -1; 490522917; -1; -1; 150133941; -1; -1; 476739681; -1; 895561154; -1; 865590428; 937392407; 163691560; 696453041; 263343707; 879633681; -1; -1; 383700239; 161956083; 477575407; 189902296; 275364112; 803853089; -1; 768506253; -1; 930575472; -1; 265179679; 514439599; 566108234; -1; 237865211; 297018412; 735406729; 371683150; 490535631; -1; 785364690; -1; 104809498; 530768873; 478036692; 252452342; -1; -1; 981318925; 919360497; 203848829; -1; 7184486; -1; 301506858; 623525401; 224331228; 971736522; -1; -1; 204326860; -1; -1; -1; 430175800; 704619066; 829990404; 736397349; -1; -1; 740823707; -1; -1; 95280611; -1; -1; 990959166; 232058241; 627830626; 764209544; 221343228; -1; 169657981; 935003176; 583898447; -1; 287478651; 544031050; -1; 546023809; 983076220; 773234073; 954691109; 525604866; -1; 466405417; 242302098; -1; -1; 195841558; 4154436; 817568744; 460364615; 344073195; 76277373; 158949560; 423148272; -1; 63808709; 643997086; 497165979; 180672221; -1; -1; 846478293; 137482998; 405223695; 835887788; 454964098; 239607882; 352832523; 514138458; 298776672; 646352541; 267374642; 773397207; 813182244; 476233792; 110916660; 429454238; 224725307; 107116813; 697074600; 453191428; 889105981; 365004376; -1; 805857671; 807441986; 437267803; 7014193; 305421400; 866704002; 95234475; 752077038; 330183443; -1; 978353137; -1; -1; 193246680; -1; 620333962; 507819050; 8418483; 605872222; 564353769; 979525523; 61259704; 791382118; 739528212; 159815867; 267004902; -1; 837199727; -1; 740752093; 855692863; -1; 471436506; 440740680; -1; 49149972; 287840013; -1; -1; 497745905; 760370856; 50951636; -1; 945083686; 184160400; -1; 863195539; -1; 419080905; 842041674; 610868298; 678441110; 150825659; -1; 396480265; -1; -1; 925342122; -1; 11981416; -1; 150606836; 112874836; 454540426; 738513687; -1; 733233237; 28715098; 468836989; -1; -1; -1; 616031498; 149277933; 974937205; -1; -1; 837439026; -1; 420007078; 247272089; 681209668; 45451026; 807714209; 399329922; 483633174; -1; -1; 659442567; 790821766; -1; 520830696; -1; 625646511; 325003968; -1; 106695011; 491625228; 968725870; 525184554; -1; 129665638; 104630144; 917861623; 371255908; -1; 406958792; 71602084; -1; 101196008; 822386042; 275328142; 266098559; -1; -1; 345307676; 386601744; 230419747; 907391633; 449797637; 927195204; 354889015; -1; -1; 279072212; 544644022; 589119385; 516516692; -1; 700957731; 492696339; -1; 852804313; 551729057; 272710918; 726063321; 122772595; 972970584; 605830149; 316680147; 536586502; 838880201; 50546529; -1; 88286296; -1; 740086379; -1; -1; 874678559; 271815143; 71967993; 7631056; 805782762; 814942208; -1; 114466985; -1; -1; -1; 226912764; 877571; -1; 363559735; -1; -1; 810605814; 571678889; 292067257; -1; 784273252; -1; -1; -1; -1; 512245998; 49498216; -1; 307781386; -1; 792275709; 489883245; 89522287; 419396784; 8859105; 147278537; 447944754; 82896781; -1; -1; 165493718; -1; 119849093; -1; 490403155; 620022521; 128242009; -1; -1; 62095361; 111377779; 738271738; 951796630; 990392803; 319988266; 268402004; 670098204; 139209629; -1; 295759067; 707254477; 819476044; 280193508; -1; -1; -1; 163607485; 49611127; 392544878; 830548487; 419771874; 600224007; -1; 365141396; 4847693; 598986362; 889364476; -1; 938068822; -1; 754341890; -1; 146463919; 684618680; -1; 502831162; 782546050; -1; 591443970; 582830371; 780802164; 530931218; 729598834; 561777343; 799931323; 56387894; 468188922; -1; 887911777; -1; -1; 277248690; -1; 330788552; -1; -1; 167384043; 802675566; 644062007; -1; 610164577; 295664872; 518899727; 766158029; 236576606; 178403751; -1; 895990646; 268409477; -1; -1; 848593441; 258863129; 404670623; 917000553; 3379820; -1; 718798398; 396108272; 391489943; -1; -1; 52417568; -1; -1; 916953032; -1; -1; 256484597; 45991741; 458286936; 951382507; -1; -1; 633650073; -1; -1; 276090523; 233464522; -1; -1; 241369403; 915477721; 938476037; 533671065; 49634836; 82737041; -1; 393198808; -1; 652281892; 357877697; 572717200; -1; 921836882; 792231669; 752820905; 714119608; 946161531; 443628490; 67669072; 84235368; -1; 851926139; 89425353; 431890414; 811974204; 750467507; 304959149; 636773223; 19971070; 211073085; 508725449; -1; -1; -1; 595677953; 926666840; 632112501; 34861928; -1; -1; -1; 510727489; -1; 100164535; -1; -1; 473858959; 293746419; 946865077; 735177910; 514221347; -1; 756664890; 295181970; 907722424; -1; 188704085; 945275459; 493828374; 251056737; -1; 465204072; 403792740; 48115881; 885117445; -1; -1; 541733761; 291387591; 640630598; 979655028; 312517531; 400904612; -1; 566178327; -1; 387269904; -1; -1; -1; 482678252; -1; 39050128; -1; 997073346; 447587132; 901176079; -1; -1; 144016942; 859823383; -1; 409375177; 652613190; 506968468; 147668590; 815028307; -1; 562647341; -1; 633454273; 503857912; 914415166; 564034433; 944544555; 532826187; 46207302; 503195713; 89284437; 528479165; 170690928; 508012405; -1; -1; -1; 822292905; 899458749; 329065192; 211553418; -1; 10586088; 531105785; -1; 480721988; -1; 929213814; 491443272; -1; -1; -1; 630996188; 199104129; 242258901; 674824945; -1; 82094442; -1; 894076404; 208527843; -1; 258659967; 665902051; -1; -1; 999596639; 733671815; 443514457; 151683260; 332230380; 607377742; -1; -1; 445199828; 455929860; -1; -1; -1; 633876142; -1; 243657299; -1; 375292876; 67818334; 363179123; 822006778; 237714136; -1; 743967959; -1; 432972959; 659619807; 598535485; 646704667; 9520304; -1; -1; 820671449; 852344154; 544848631; 837026831; 566320705; -1; 859869542; 519575695; 339976896; -1; 869156129; -1; -1; 539792642; 990489433; -1; 212284564; 474932920; -1; -1; -1; -1; 658197387; 870106580; 628942917; 277193551; 190222304; -1; 61949354; 175238010; 72560701; 581438283; 827548390; 669004712; 495828356; -1; -1; 895459322; 354075479; 648854062; -1; 374009576; 75002303; 817984714; 837417646; -1; 704337663; 366107518; 100313081; -1; 696768064; 4774655; 418985575; -1; 703532689; 801891254; 450526805; 781960607; 784714239; 78061498; -1; 970307636; -1; 788232459; 586469302; 855391604; -1; 922892688; -1; 3465740; -1; 750033364; 454266914; -1; 629426383; 32274125; 278959121; 873688153; 938505298; -1; -1; 103945500; 642575806; -1; 486529939; 256055245; -1; 33576889; -1; 613357895; 363190641; -1; 637468394; 826073173; 461135426; -1; 510268421; 80412323; 625410191; 233158876; 311126964; -1; -1; 860035271; -1; -1; 708373389; 766210781; 865370149; -1; 124105148; 520365881; 326303444; 178052812; -1; 444628548; 391906056; -1; -1; 202975501; -1; -1; 437397829; 331771573; 136869442; 507328097; -1; 67657536; 649185089; 761919639; -1; 362205782; -1; 786603092; 288868957; 797902725; -1; 824725253; 766782663; -1; 991326212; 734835185; 628260752; -1; -1; 845384791; 461930534; 529769280; 693674052; -1; 407469578; -1; 698585040; 2856391; -1; -1; 366604242; 866685892; 346045223; 344041656; 843946315; 601815246; 198595840; 354562695; -1; 557250314; -1; -1; 619905677; -1; 46559560; 264702429; 353377163; 181322188; 49399644; 528457674; 355591222; 872748153; 255439877; -1; 600180178; 794973726; 819461859; 824638981; 8503125; 617883992; 396095506; -1; 211041517; 380454473; 873315641; -1; -1; 979796554; 910240015; -1; -1; -1; 457060266; -1; 280213907; -1; 625287071; 605192863; 489612025; 337330515; 187963692; 881632027; -1; 855553080; -1; 833072630; 582951158; 910419559; -1; 968412653; 988290507; 759012712; 32444467; -1; -1; 479942663; -1; 657540850; 920214701; -1; 9995474; -1; 949496853; -1; 38918336; 396621950; 90522583; -1; 303904501; -1; 179030849; 623049912; 185733287; 716167112; 76068178; 254598583; -1; 853565750; -1; 663416330; 221007797; 402687004; 656731803; 769631851; 840509298; -1; -1; 653427579; 931749118; 526505901; 412736201; -1; -1; 682234111; 419067358; 872661893; 281652781; 215793690; 854577574; 108460140; -1; -1; 173391670; 923236489; 408164265; 166483336; 657401156; 403732184; 472799219; -1; 588271648; -1; -1; -1; -1; 821022089; 302826801; 963674416; -1; 963385462; -1; 979982942; -1; 996478342; 703263249; 856420776; 219870793; 531856269; 198204502; 527519389; 197079719; 396352212; 711007596; 640619225; 944973283; 592975659; 251618663; 375723190; 94254566; 197802586; 806306178; 945667425; 384733529; -1; -1; 108855309; 864458277; -1; 95199879; 616181826; 618394613; 161836844; 433487160; 194766421; -1; -1; 34752876; 112486020; 802439739; -1; 254972191; 694476845; -1; 600580409; 838357655; 75287916; 459285729; 429775071; 543497292; 672130323; -1; 74401152; 517551822; -1; 388827211; -1; 899663399; -1; -1; -1; 938228799; 667007107; 306132414; -1; 468374257; 56634241; 211600021; 847471945; 271330509; -1; 705378059; -1; 614083459; 66591223; 274024546; -1; 47209441; 619780895; -1; -1; -1; -1; 880686417; 762138072; 850274140; 962021816; 68735875; 330525376; -1; 863517092; 439891335; 954212502; -1; 538720475; -1; 27409536; 831643223; -1; -1; -1; 445226005; -1; -1; 152337673; 712387317; -1; -1; 869541586; 354225739; 327648136; -1; -1; 28959014; -1; 703624772; 72433506; -1; -1; -1; 760527250; 904281746; -1; 959117448; 88721954; 792337694; 751119604; -1; 547997070; 605986581; 896902855; -1; 839851350; -1; 699332481; 36164750; -1; 663403843; -1; -1; 398547595; -1; 891706560; 996683365; 870297008; 219840164; 277966006; 705460930; 823486595; -1; 153637159; 665355052; -1; 552077216; -1; 854860298; 712703258; 788614848; 718187012; -1; 842786951; 216580245; -1; 425066410; 224342356; 953680587; 839970904; 913134875; 917205104; 580736696; 951061614; -1; -1; -1; -1; 26012475; 301180651; 904387009; -1; -1; 847454460; 145790278; -1; 508456756; 348183130; 383167071; 458130761; 885746816; 181218819; 178550296; 382275788; -1; 895584683; 770318830; -1; 293899444; -1; 21764996; 338055336; 341464891; 642647922; 612815219; 257401645; -1; 364495505; 80376022; 405599822; 267847918; -1; 371890103; 279329852; 232733961; 142065565; 210484544; 170077946; 658895834; 592405521; -1; 731544227; -1; -1; 372203132; -1; 726597809; -1; 606145775; 448908855; 808477911; 47714880; 854148256; 999329629; 852029272; 742626897; -1; 187105375; -1; 775016617; 461135576; 176649911; -1; -1; 8464347; 814152407; -1; 32960633; -1; -1; 363352643; -1; 314879555; 762628381; 231351692; 915295701; -1; 658723137; 818367527; 345341242; -1; 51611263; 416229625; 913669527; -1; 120948244; 959315120; -1; 982240140; 826665806; 991127167; 120429445; 270363104; -1; -1; 745141742; 290757670; -1; 400730835; 61787705; 266093224; -1; -1; 182863332; 294119498; 939366568; -1; 109171337; -1; -1; 267297896; -1; 166857842; 526147981; -1; 617681294; 95595911; -1; 709748348; 399792750; 12679773; -1; 587760664; 832621795; -1; 928270737; -1; 222352688; -1; 526130944; -1; 595552796; -1; 825559088; 356992623; 671496793; 799914386; 358194193; -1; -1; 414230702; 719248004; 555062522; 128411533; -1; 934071912; 19966030; -1; 827854915; 776591914; 161280599; 824214967; -1; -1; 35342762; 227813916; -1; 590930226; 750789552; 645214114; -1; 807984414; -1; 624695630; 592605566; 156165308; 205561757; 166592110; -1; 604859345; 224654024; 246301273; 702069100; 972673556; 140949887; -1; 848264542; 627013064; -1; 854145633; 943672423; 56640652; 160914932; 786399018; 818712173; -1; 401852750; -1; 591874376; 47115360; -1; -1; 88179154; 892035013; -1; 758102913; 449920016; 860616454; 341288168; -1; -1; -1; 378690555; -1; 545986788; 508363961; 389856757; -1; 159606329; 214864626; 918241961; 873245507; 720702147; 16007690; 406992069; 664212870; 521511143; 703862846; 302684987; 808390337; 846089876; 926304673; 983539276; 210217088; 726512069; 373950616; 996416983; 259720723; 587161976; 558192881; 855251378; 948286368; -1; -1; 749050655; 358150818; 943523130; 441914182; 392167176; -1; 337642071; 623464687; -1; 222418931; 458252850; 603646820; -1; 486186179; 625903282; -1; -1; -1; 814905730; 429606239; 522763722; -1; 352930683; 585444793; -1; 314763436; -1; 108226892; 78288424; 984807284; 496884352; 233051562; 98319916; -1; 60829426; 485457472; 668742002; 629118331; 186423484; 267942103; 171952889; 599579932; 117918223; 400657868; 535509222; 130847786; -1; 989808121; 530530739; 733742349; 223851959; 150847026; 630664276; 689840097; 748591763; 339290300; 725404188; 265332991; 212649636; -1; 247171119; 980079235; 103581711; 599531699; -1; -1; -1; 161368998; -1; -1; -1; 760193952; 324603511; 922932019; 978122128; 560965261; -1; -1; 345105674; 664948046; 794916218; 155373600; -1; 934548480; 269266715; 499297261; -1; 935948658; -1; 539027575; 923404250; -1; 898777827; 704690636; 444931685; 387447959; 349009159; 537392584; -1; 261896877; 656438911; 948270629; 422210307; 488555457; 372374961; 596781264; 710035273; 372626671; 923959228; 198053231; 386520013; 802379653; 703194637; 800305265; 614865665; -1; -1; 100908902; 900329574; -1; 616747514; 896343517; 927885216; 998675748; -1; 197584974; -1; -1; 542396502; 820611994; 75421643; 790012616; -1; 782055474; 267794740; -1; 989125606; 393173956; 588825039; -1; -1; 907685787; 954793942; 611977792; -1; -1; -1; 446667466; 150249051; 906046593; -1; 320995459; -1; 59183876; 629214478; 309071252; 215917026; 410277302; -1; 940209194; -1; 144753247; 312332299; 484053016; -1; 919806664; 188200245; -1; -1; 132087709; 68727336; -1; -1; -1; 103776770; 794853877; 617724940; 473044045; 130668823; -1; 71752663; -1; 689101668; 311230058; -1; 508417335; 700224912; 653469633; -1; 464229323; 408972935; -1; 178741871; 628792427; -1; 507263042; -1; 449065255; 743128031; 90190189; 129591007; -1; 959524141; 307651105; -1; 426529000; 42183846; 569898359; 667253669; -1; 709582111; -1; 536352002; 453883831; 535251683; 70593439; 323842166; 460943013; 283778487; 468122093; 229230603; 238272621; 412343481; 836898234; -1; 679163779; 319675161; 897635876; 348597471; 109318799; 933091103; 122795510; -1; 929993106; 558803871; 741498762; -1; -1; -1; -1; 530866049; 324819007; 372511842; -1; -1; 258117679; 405220537; 161346553; 809750944; 552962449; -1; -1; 950493389; 652698115; -1; 837389542; 415500941; -1; -1; 940018970; -1; 272474089; 27938339; 511284063; 82206258; 786479026; 838137073; -1; 301940128; 296488497; -1; 908837960; 919561002; -1; 895149722; 187449439; -1; 920726580; -1; -1; 266419195; 832330314; -1; -1; 274635361; 339736792; 418617431; -1; 215020175; 267565581; -1; -1; -1; 616707660; 949677820; 430293637; -1; -1; 891078771; -1; 789785048; -1; 735054061; 362066084; 881788131; 395982723; 446434711; 901751515; -1; 451495821; 552098786; 886898175; -1; -1; 181373917; 708543346; 348778430; -1; 356659901; 58810368; 525425016; -1; 258468387; 823927827; -1; -1; 692422168; -1; -1; -1; -1; -1; 987325086; 465685333; 831119250; 830134183; -1; -1; -1; 560380099; 411570388; -1; -1; -1; 529132469; 579259258; -1; -1; -1; 173939513; 980311142; 95432643; 739669067; 829735090; 657886599; -1; 596119550; 663077477; 243519181; 575462673; 96057937; -1; 280135439; -1; 30256464; 628983810; 480188384; 986599538; 529132631; -1; 530338589; 18668369; -1; 399739339; -1; -1; 430731880; -1; -1; -1; 629929782; 222583910; 646757240; 265212890; 740223567; 245960126; 45565852; 374917692; 832111548; 141107066; 295088547; -1; 960575859; 34214754; 893603419; 783609328; 630311106; 900269872; -1; 23637389; 792297507; 653896303; 66589913; -1; 111819465; 769905455; -1; 376520044; -1; 117406477; 439245065; -1; -1; 403498413; 552265266; 590802753; 547997057; -1; 686360910; 324757733; 594650502; -1; 170366531; 289634822; -1; 143911243; -1; 87076380; 264449091; -1; 20867205; -1; -1; 857552556; 728420746; -1; 240647056; 837056600; 290126713; -1; 317906840; 184877368; 568627472; 213263629; -1; -1; -1; 776140583; 508994904; 489442154; -1; 560345385; -1; 433424215; 357105783; -1; -1; 961580410; -1; 869675291; -1; 547774813; 583704267; 318357990; 478274487; -1; 713918093; 316325243; 678682233; -1; 340917838; 232783617; 273086265; 189485412; 562692126; 101909460; 533888281; -1; 967915995; -1; 623286282; 168656435; 268447095; 877833991; 80733657; 489705884; 720156545; 410877570; -1; 181194940; 873341450; -1; -1; -1; -1; 173133228; -1; 171313274; 831981683; 154439615; 918667700; 551466793; 43408186; 817249343; 279939832; 7246069; 67878301; 273038224; -1; -1; 443402384; 473136604; 34189797; 887130658; -1; -1; 326007833; -1; -1; -1; 368893939; 401295517; 46017145; 568740746; 523733513; 854255231; 946106668; -1; -1; 651537713; 812855461; -1; 738387555; 343454563; 778642005; 974001376; 421783825; -1; -1; 202299624; 736977303; 20495283; 559698683; 305774536; 481072503; -1; 661074938; 927326498; 938386614; 183469656; 643260126; 454419762; 540184933; 442512928; -1; -1; 75439535; 789684963; 673526260; -1; 640263223; 47756970; 406544278; 517767403; 619642158; 25042025; -1; 697825165; 779042924; 579118755; -1; 297529675; -1; 763154836; 370713283; -1; 208904777; -1; 977081290; 61592673; 726304006; 314058472; 183936070; -1; 57913769; -1; 590979181; 404606895; -1; 112956062; 839516600; 725174965; 477959458; -1; -1; 7361240; 47263593; 669872478; 498699538; 956743213; 761625884; 487278198; -1; -1; -1; -1; 690685309; 964080461; 545596961; 238029998; 221120579; -1; 263450943; 871495942; 888456091; 54727456; 128153993; 667597278; 45072595; -1; 915492395; 580365632; 551514191; 373036144; 87754243; -1; 405245042; -1; -1; 851550975; 917780743; 424240095; -1; -1; 621663030; 148645078; 219479988; 400640836; 950546821; 44216197; 19509020; 49837024; 943948084; -1; 815098354; 864678819; 108225038; -1; -1; -1; 928109530; -1; -1; -1; -1; -1; -1; 683039985; -1; 220183941; -1; 558663476; 440677315; 469787604; 355218287; 212329797; 417869474; -1; 557297676; 31165498; 98900270; 365384179; 139689028; -1; 930078834; -1; -1; 911745789; 706552176; -1; -1; 649138155; 779433376; 828965647; 677507878; 353434791; 361628994; 770613654; 341472193; 269369547; 166012503; 832067475; 187819376; -1; -1; 7241649; 360233868; 814081681; 168625088; 330915541; 434692113; -1; 672148462; -1; 397100026; 338174576; 268435658; 522912474; 724547431; 232461630; -1; 374440662; 450366560; 190999105; 594911275; -1; 558311418; 168403328; 499274218; 465665538; 494475296; 97570820; 760173665; -1; -1; 225900519; -1; 133980306; 206237329; 602416617; 684075700; 805101707; 13856842; 387260928; 300569919; 16523779; 737642038; 11420016; -1; -1; 773506216; -1; -1; 154422417; 248638792; 626267034; 539046417; 508192403; -1; -1; -1; -1; -1; 941625273; 612193912; 566870256; 408979995; 949215177; 68859502; 871446040; 374745193; 620302605; 635744547; -1; 854412402; 659708417; 440231972; -1; -1; -1; 48575118; 948729122; 147075887; 383302699; 230681769; 934661167; -1; -1; 103566903; 289016065; 210129231; 78197645; 338771959; -1; 395596526; 576784676; -1; 653188271; -1; 963018198; 536011455; 819186398; 340932501; 919250936; -1; 90423829; 528696497; -1; 964570410; 516646874; 63414898; -1; 741622533; 568001420; -1; 63349447; 122150804; 294134599; 989681979; 957098973; 927414043; 778859214; 623652985; -1; 283938789; 926668937; 829121344; -1; 925686972; 435648148; 274009552; -1; 295424402; -1; 877645477; 91329785; 179566352; 635284078; 668393219; 345389499; 621303695; 497759805; 436114636; 763587409; 845845236; 799400089; 711627267; 439941398; 167570740; 69036972; 614359182; 624851266; 5168535; 61419954; 55943099; -1; -1; 243192939; 66383380; -1; 365186448; 83637477; 878804469; 72873151; -1; -1; 675513468; -1; -1; -1; -1; -1; 483215888; 181651046; -1; 274806635; -1; 323778809; 260900589; 758365992; 50784855; 510609478; 432117834; 70440980; 27121273; -1; 680832081; 19960520; 924142338; 846630444; 30776369; -1; 107786377; 625144429; 947068751; 83890570; 916437702; -1; 513616054; 526559833; -1; 817002532; 962933735; 649318857; -1; -1; -1; -1; 109305598; 601477293; 910610928; 484690502; 981019275; -1; 690031878; 533961464; -1; 149516999; 781222313; 300114278; 479715669; -1; -1; 436800360; 759056926; -1; -1; 305233329; 912002392; 608733451; -1; 815933835; -1; 945235265; -1; 866116664; -1; -1; -1; -1; 923990293; 196985081; 272701637; 507634232; 634076884; -1; 886228897; 211074734; 560160607; 602983382; 422520531; 831380971; 283943250; 616945186; 132481353; 777838528; 515093568; -1; 434595012; 309523700; 485799756; 120500792; 333002120; -1; 884320377; 314239173; 94317545; 481360279; -1; 669155815; 887830505; 588320742; 457592509; -1; 51234778; 414509940; -1; 768889809; 635745417; 694742290; 592700511; 256196221; 882680581; 764091136; 496925949; 776767070; -1; 584647748; 779150233; 147533235; -1; -1; -1; 133574230; 575163403; 66492079; 890675915; 502715522; 398774856; 724938163; -1; 673049579; -1; 6650081; -1; 763421814; -1; -1; 904129310; 65320290; 642228850; 101840549; 262667862; 684618460; 307740009; 796190464; 710008551; 597244605; 504545951; 385343080; 619468472; -1; 283049547; 560597128; -1; 952284537; -1; 108078421; 292282159; 122825175; -1; 149141618; 167094201; 193591193; -1; 456809455; 294397159; -1; 425989148; 186094516; -1; 595096857; -1; 483350798; -1; -1; 848342647; 595595646; 829677352; -1; 133938342; -1; 585125238; -1; 604050037; 283137923; 314140299; 641176688; 747198303; 306737676; 101144798; -1; -1; 618151684; -1; 422230923; 30134208; 288749931; 573136827; 964121808; 822106807; -1; 73322672; -1; -1; -1; 639131516; 649864244; 445193683; 739250297; 559377383; -1; 927790120; 310339841; -1; 517359622; -1; 561733594; 266109074; 228901097; 678744378; 466452835; 846142381; -1; 78883758; 676640762; 993118842; 41624057; 386763107; 780043347; 730068050; 658005527; -1; 877038172; -1; 154896952; 13565777; -1; 71769864; 123166534; 212498368; -1; 235405421; 786470118; 788615581; 370434103; 512530479; 565716498; 504375963; -1; 793317230; 783966535; 682478159; 114402843; 4538535; 579118387; 783773905; 637341311; 98239451; 964271121; 800328928; 242860887; -1; 386588088; 345332614; 872978563; 667600214; 345324478; 57160622; -1; -1; 362959480; -1; 663513193; 496515902; -1; 200884392; 200410593; 529300604; 71231524; 925385549; 119095370; 961172641; 152289519; 128722239; 74962145; 196974318; 934232191; -1; 719012490; 590914846; -1; -1; 168843596; -1; 763265209; 949597884; -1; -1; 375724522; -1; 207324045; -1; 555453108; 156007411; -1; 147597576; 947835183; -1; -1; 349943175; 107626093; 895679258; 706391427; 159811355; 451289165; 451560367; 667859378; 344577451; 3381458; 322255471; 883473449; 252199917; 499838794; 384307514; 842541890; -1; -1; -1; 554321407; -1; 861789661; 430936311; 310109216; 278841739; -1; 653390580; -1; 62441585; -1; 682354075; 584651266; 816722686; 738633526; 482909196; 531173217; 71447588; 74983216; -1; 487272707; 733077345; 630748836; 266276282; -1; 874832628; -1; 233402391; 788754816; 332005587; -1; 671645663; 352360065; 748871377; -1; 116655863; -1; 231168345; 289124099; 656284254; 741289561; -1; 365043160; 75494911; 775140368; 35478883; 276988743; 458883260; 59990155; 362059318; 803502151; -1; 956930191; 262228269; -1; -1; 777411234; 397464275; -1; -1; 230153449; -1; 359343324; 499707200; 478802788; 980722889; 856242892; 252647495; -1; 553272001; -1; 272513365; 659737058; 354199447; 637083710; 545537922; 389192393; 256919888; 80468751; 502018150; 370225709; 614572509; 674572309; 578095016; -1; 264614150; 964024413; -1; 109538058; -1; 444583865; -1; -1; 460138220; -1; -1; -1; 956503795; 762854300; 673691708; -1; -1; 96844247; 14724038; 355483516; 523588319; -1; 502337996; -1; 279589268; 111322707; -1; 532025503; 994634045; 563395855; 914661018; 605402550; 265908536; 770750913; 932275317; -1; 527508564; 689233276; 516336345; 989580438; 136365045; -1; 311040829; 472818205; 882978979; 479678088; -1; 989151203; 535546559; 522287189; -1; -1; 842712203; -1; 600742718; 907143030; -1; 875130402; 945341399; 521322992; -1; -1; 287078245; 372530472; 406313063; 334900779; -1; 176327824; 83842187; -1; 550576510; -1; -1; 455295633; 92972845; 489136113; 443258471; 970989158; 742750844; 742739381; 817400697; -1; 436274502; -1; 206713459; -1; 754112579; 32892219; -1; 440503114; 718701394; 625863801; 279960806; 698787317; 83796715; 988209164; 609955275; 962270771; -1; -1; 281073017; -1; 853197502; 953060007; 215741806; -1; 180801553; -1; 377344712; -1; 466198490; 642717755; -1; -1; 338723560; 919100547; 69672656; -1; 970217191; -1; 780274961; 966928065; -1; -1; -1; 832731492; 628747674; -1; -1; 795372328; 439378433; 866359930; 852017579; 670697492; -1; 262159383; -1; 761756809; 970329099; 647723210; -1; 431594001; 5302433; -1; 792453110; 3261421; 162289163; -1; 132893771; 483454238; 44288935; -1; 422913408; -1; -1; 458370139; 561948625; -1; 680027156; 952640871; -1; 988176208; 162965643; -1; 275347876; -1; 621802539; 913729529; -1; -1; 633640390; -1; 771972752; -1; 633014809; -1; 741757722; 414228460; 447374929; 201826718; 784478018; 400820783; -1; 724668800; 992670503; 516582055; 670024739; 11225135; -1; 694207064; 735155659; 145482860; 567039511; 74112937; -1; 750932947; -1; -1; -1; 134671259; 848284304; -1; 223444365; 983298719; 300123982; -1; 323662765; 841286480; 675518391; -1; 659964165; 290563489; 272677202; -1; 204975617; -1; -1; 867090985; 917048401; 993154741; -1; 565695512; 259908078; 760646904; 303959971; 545285279; -1; 132833700; 509202945; -1; -1; -1; 810372971; 660484688; 658952920; 19581520; -1; -1; 806407587; 458556233; -1; 510577992; 384935187; 856877644; 85750892; 695438439; -1; -1; 613242185; -1; 709407899; 40518845; -1; 256146490; 547763572; -1; 798127182; 315318556; 762423266; -1; 515280079; -1; -1; 37586843; 920264877; 333067089; 243932256; 526594991; 381610415; -1; 70242288; -1; 373643790; 479790786; 68378910; 709704299; -1; 577391172; -1; -1; 662133728; -1; 643399791; 362317351; 419161805; -1; -1; 592161781; 891334019; 385123893; -1; 458124916; 586899701; 220677697; 112747003; 773444403; -1; -1; -1; 870223445; 493754270; 818485331; 581694944; 224021657; 71427648; 192433227; 111960501; 542571751; 245403999; 213415333; 666404738; 694992085; 673498215; -1; -1; 775320347; -1; 561704331; 45400836; 624724340; 498341341; 552954156; -1; -1; -1; 440993931; 180070696; -1; -1; 860518950; 944242403; 320011965; -1; 129119606; 272754297; 204414954; -1; -1; 62985162; 36530945; 480459111; 573123283; 189503951; 238289348; 966503812; 621312039; 833778841; -1; 245167961; -1; -1; 105598127; -1; 846827920; -1; 996988327; -1; 115618079; 370812611; 218069994; -1; 317597893; -1; 503354514; 87285460; -1; -1; 920668561; -1; 881689890; -1; 238885031; -1; -1; 442832451; 477967979; 733266759; -1; 915128749; 989738551; 209542136; 753115426; 740353371; -1; -1; -1; 611612430; -1; 785833533; -1; -1; 385839068; 69650176; 784088564; 748542500; -1; 386252272; 955522789; 507013684; -1; 593213593; 905256168; 272716930; 515374630; 198763422; 921521592; 996847154; -1; 449775792; -1; 869885445; -1; -1; 427878549; 15345470; -1; 656204069; 451842458; 697313716; 41296689; 706601230; 480921486; -1; 852091550; 464959963; 512104857; 747311844; 407831554; -1; 831329166; 663094266; 943265910; 550100023; 803962152; -1; -1; 970283582; 624348656; 476454419; 37969382; 27731166; 685242378; -1; 791897381; 275364002; 773396361; 782065889; 522786262; 118751444; 868714340; 504714554; -1; -1; 584620250; 758763435; -1; -1; 858115535; -1; 735649228; 333943809; 811642251; 371939288; -1; -1; 281564084; -1; 626673290; -1; -1; -1; -1; 907116888; -1; -1; 255015218; -1; 726957018; -1; 817833177; -1; 414871791; 655354902; -1; -1; 534430597; 990609921; 597598129; -1; 563104204; 918748869; -1; 195923814; 408757006; 148077879; -1; 410375531; 417938164; 530864403; -1; 616744805; -1; 979460726; 821530643; 773844023; -1; 438774942; 924041103; -1; 846130619; -1; 324396628; 417663181; -1; -1; 611436321; 425763500; 516951984; 368383954; 602806119; 255663244; 902992450; 840797806; 558694183; -1; 948420826; -1; 308317778; 566439660; 135940225; 696264867; 948776160; 695048963; 643290287; 629632627; 922543832; 506162107; 756182359; -1; -1; 476132609; 346106363; 478765317; -1; 527749909; 227855995; -1; 447000732; 138618816; -1; 670532177; -1; 201685847; -1; 888937990; 770819399; 220867920; -1; -1; -1; 800073629; 821981429; 429809322; -1; -1; 794448862; -1; 389169857; -1; 927541518; 750401995; -1; 621258935; 227479032; -1; -1; -1; 216756893; 587057541; -1; 33791331; 954887246; 527441347; 408270629; -1; 43329811; 71516385; 43417340; 508821370; 769702378; 537612630; 821782430; 961808217; 228638850; 814367799; 3921645; 962870398; 590724929; 521084292; 58769379; 436793534; 123317013; -1; 37458054; -1; 361495486; 895465263; -1; 642899725; 969569454; -1; -1; 937953741; 757148889; -1; -1; 661813451; -1; 664174555; -1; 761428599; -1; 678913004; 411462653; 536061274; 706952662; -1; 968859930; 490986278; 480695081; -1; 749613989; -1; 39172380; -1; -1; 24460823; -1; 825991735; 591278547; 54696267; -1; -1; 55608572; 41717373; 27923614; 15945804; 750067385; -1; -1; 583447407; -1; 677885798; 101543361; 249887477; -1; 419022277; 307923978; 632237845; 671550223; 99366676; 306980248; 527686734; 19335808; -1; 12463919; 570805757; 617071069; 828107461; -1; 624810226; -1; -1; 141195779; 261607354; 768103629; -1; -1; 612326591; 726790167; -1; 910220688; 739407232; 912242435; -1; 260594735; 935058320; -1; -1; 443572727; 905431411; -1; -1; 172181967; -1; 393710222; -1; 270521835; 710753182; 420412572; -1; -1; 660712855; 415450249; 83437367; 165505502; 935581541; 101456290; 467427191; 903914297; 848100957; -1; -1; -1; 135281298; -1; -1; -1; -1; 340222190; 582063445; 561399722; 484917849; -1; -1; 598602916; 90834551; 419066600; -1; 729124951; -1; 539539667; 822053513; 578539463; 807563648; 421974855; -1; -1; -1; 973733233; 670497797; 76745577; 891994450; 96601512; 295278530; 571435510; 320859410; -1; -1; 810468106; -1; -1; 521626986; 75829645; -1; -1; -1; 190234590; 969509171; 928350064; 651394066; 212723676; 717929453; 755659774; 109187776; -1; 834155855; 70703156; 981872211; 130189746; 82292503; 993037008; 977364862; 674027952; -1; 989707030; -1; 782159449; 246866367; 18817634; -1; 926538427; 365838679; 809645196; 354475687; 393091457; 376369738; -1; 539240477; 160146517; -1; 4638169; -1; -1; 263247487; 53794550; -1; 124244394; -1; 455256729; 223399022; 262288227; -1; -1; 769336543; 23000395; -1; 720404245; 606833109; 336581314; 452226679; 68896963; 192634651; 844105011; 537804444; -1; 33734; 757848086; 851759441; 666635696; -1; 804920538; 815464796; 841563014; 119646476; 391061871; -1; -1; 400001151; 438355995; 474681503; 51216521; 749109629; -1; -1; 550860072; -1; 467831003; 185892491; 298070065; 707996851; 4371199; 262319603; -1; 665846139; -1; -1; 232048974; -1; -1; -1; -1; 367598207; -1; -1; -1; 928399261; 39304494; 725021358; 729145425; 67455279; 592078409; 699713954; 384442244; -1; 409022315; 729275949; 139901605; -1; -1; 733598626; 435211853; -1; -1; -1; 171637473; 574141681; -1; 465820913; 254324178; 259793078; 445693895; -1; 191139337; -1; 660638; -1; -1; 410883784; 218352243; -1; 17580625; -1; -1; 53077153; -1; 962673712; 380935437; -1; -1; 539262616; 961390778; 116777432; -1; -1; 415912324; -1; 688848286; -1; 105863566; 43233156; 336437772; 604616658; -1; 55941867; 706043775; 724527547; 640005515; 62297309; 53434344; 580893330; -1; -1; -1; 235402186; 790810792; 577967373; 164055973; 33073425; 736154886; 542447600; 90319527; 14178915; 604332613; -1; 639315676; 188525397; 189924835; 50325579; -1; 550207945; -1; 827382828; -1; -1; 482912327; 193142834; -1; 489375200; 25513818; 962632490; 109679346; 639673772; -1; -1; -1; 20526104; -1; -1; 751014709; 322169341; 50392995; -1; 736974902; 267306540; 931661648; 659314731; 661150325; -1; 944729818; 953623536; 128609511; 234760585; 939895721; -1; -1; 423966698; 414751333; -1; -1; 673905602; -1; 241949061; -1; 323019538; -1; -1; -1; 902134476; -1; -1; -1; 548069485; -1; 206515757; 392468601; 973441970; -1; 60604365; -1; -1; 175370028; 708722951; -1; 167419154; 133911873; -1; 887964863; 709899333; 643760321; -1; 92296349; 432027110; 443443458; 554508032; -1; 849064980; 366729344; 648612756; 247165521; 474444394; 133492733; 287375645; 613075845; 952406915; 960082923; 254899805; 782008101; 302278719; 514541361; 143857955; 478014136; 30216591; 211299051; 463961759; -1; 30300669; 976550750; 936792556; 741836668; 712558593; -1; 249897698; 505000863; 280857090; 505177210; 746885197; 899860290; 565343896; 520732051; -1; 870280539; -1; -1; 375645856; 736450926; 709920594; 291522018; -1; 300730667; 523997461; 920648324; -1; -1; 784227962; 122931145; 747196124; -1; 442558815; 105303060; -1; 462369697; 801209980; -1; -1; 805415935; -1; 44550166; 332142510; 792478587; -1; 571930499; -1; -1; 176688641; -1; -1; 213495822; 828890255; -1; -1; 90053283; 31400906; -1; 249413699; 389946861; -1; -1; -1; 693610177; 687870480; 802551037; 645711379; -1; 358313151; -1; 299053180; 533065328; 427584517; -1; 394848706; 520803378; 99354364; 42794176; -1; 228969023; -1; -1; 696286313; 284070257; 135204495; 151820918; 377484219; 159672566; 503552979; 203741988; 142057820; 657834111; 912161783; -1; -1; 53086285; 634052405; 830348042; 888398426; 341269928; 911085168; 561578075; 250258875; -1; 268755907; 445798245; 683950820; 982964794; 640890591; -1; -1; -1; 592755648; -1; 222661747; 720131138; 761480044; -1; -1; 697743681; -1; 735279987; 461944749; 439860489; -1; 547536514; -1; 432871470; 747804640; -1; 308803039; 759777066; -1; 898968679; -1; 812044150; -1; 419179059; 824418221; 445869219; -1; 760465322; -1; 968723398; 47973805; -1; 195795313; 788778536; 466435048; 175931905; -1; 718591822; -1; 253900190; 60008968; -1; 377950400; 758827313; 219362304; 148242680; 929986974; -1; 492146991; 71934999; 533921789; 561210901; -1; 822896938; -1; 803361963; 230207534; 918487908; 405577322; 345437932; -1; -1; 721475560; 497118389; 706700290; -1; 641573250; 872549890; 344825209; -1; 404721728; 154090248; 2602214; 489139590; -1; -1; 842737183; -1; -1; 579525483; 618716858; 94502013; 630602208; 747055671; 831284705; 640001345; -1; 931375674; 533572707; 612255449; 381452006; 334683056; -1; -1; 460599329; 817172545; 369101297; 360493102; -1; 314978576; 310718307; 708119639; -1; 887114341; 723877703; 472623430; 418573500; 17585707; 938639799; 730769132; 78546943; 352195075; -1; 71315151; -1; 360152659; -1; 962816137; 64068469; 251159031; 243267785; 277686633; 88281516; 108759838; 312192325; 695574819; -1; 250112795; 607997142; 838503147; -1; 436693361; 668846223; 979613063; 226084393; 485275777; 792928990; 63364493; 118915104; 627218454; 534878642; -1; 841470718; 31790443; 943642976; -1; 577058412; 384761408; 196419001; 769137158; 478677057; 660942817; -1; 695125556; 270391264; -1; 359405458; 966182183; 981734167; 637877968; -1; -1; -1; 919122327; 820402411; 788542194; 70475895; 946989809; -1; 763414181; 58703837; 275172145; 7098402; 760956008; -1; 966707150; 829893396; 931076044; 17567800; 526634772; -1; -1; 606309152; 165722666; 87849793; -1; -1; -1; 478754905; 253785760; 576936068; 228520161; 283348285; 840361598; 384542905; 527405207; 547087425; 742444608; 757187452; 882224691; -1; 355285891; 883716233; 186587213; -1; 640897217; 136532109; 350116943; -1; 200348068; 657425053; 815713799; -1; 64795414; 623923804; 710991585; -1; 836890212; -1; 365497006; -1; 964473062; 927743808; -1; -1; 894493048; 944823520; 853608695; 865944507; 4976082; 302901943; -1; 84707009; -1; -1; 55702804; -1; -1; -1; 642312173; 526058562; 270996282; 732496923; -1; 595745784; 127993324; 846219725; 774207797; 741357081; 293662453; -1; -1; 774360506; 994614237; -1; -1; -1; -1; 39406164; 253884174; -1; 523201796; 681633066; 281455996; 83715738; 690788658; 844040405; -1; -1; 123249664; -1; 941005596; -1; 961082211; 21596811; 715044723; -1; 658594828; 159158442; 239685396; 209945766; 387105971; 937689876; -1; 655473896; 972779050; 118926528; -1; 739493798; 399977835; -1; 733896625; 439866580; 478986617; 611826169; -1; 996222443; 573356051; -1; 63734122; 407120429; 304952418; -1; 948179964; 521613905; -1; 901468899; 202774042; 841617274; 907861331; 571448819; 816224947; 827023514; 357177665; 389612332; 803285177; 917123956; 15652291; 388175425; 880523191; 280687889; 262115995; 968138388; 841417212; 903267366; 20315144; -1; 577199149; 412838646; 745476841; -1; 622239825; 411626887; -1; 918129713; -1; 695400219; -1; 199884515; -1; 652353565; -1; 34803761; 436055341; 546995780; 283440283; -1; 598676093; -1; -1; 643822524; 209708203; 39314983; 147722182; 620401272; -1; 673155467; 670048372; -1; -1; 540166040; 611019452; 472335244; 24901811; 765627252; -1; 838547433; -1; 103359452; -1; 918559822; -1; 871758021; 32183306; 891511828; -1; -1; 668737465; 465459108; 100530983; 113150683; -1; -1; -1; -1; 601317311; 299214554; 677796481; -1; 112289536; -1; 146591682; -1; -1; 393106304; -1; 599319490; 53179525; 256138269; 142973519; -1; -1; -1; 250860118; 60074870; 363874330; -1; 534041291; 335601107; -1; 1041331; 208001112; 303971373; -1; 698260069; -1; 18834096; -1; 369328873; -1; -1; 88680940; -1; -1; -1; 242385914; -1; 820628839; 584695228; -1; -1; -1; 993660158; -1; -1; 614833569; -1; 495538404; 851999240; -1; 863200429; -1; 164755833; 843380230; 843103235; 633758745; -1; 775384776; 528802743; 392063078; 395976576; 539151163; 161941564; -1; 32406422; -1; 514026234; 523266217; -1; -1; 736409644; 939678978; 58111744; 938180525; -1; -1; 563511288; 442686742; -1; 839630320; 321838594; 661627979; 59657202; -1; -1; 980787531; -1; -1; 72116327; -1; 528703046; 938342312; 930392760; 827208329; 759135397; 178090413; -1; 774407942; 474016897; 340757358; 973276724; 305350757; 826089682; 652711508; -1; 11760936; 396348771; 845124877; -1; 324713113; 954614192; 758517716; 806306919; -1; 723039894; 638103631; -1; -1; -1; -1; 311147784; 879654180; -1; 813197594; 428667986; 647796036; 955263324; -1; 651153450; 525955326; 33428828; -1; 870284307; -1; 587510152; -1; 936324005; 538125187; 433390992; 492523180; 952775225; 242404229; -1; 888746847; -1; 617491446; 494482505; -1; 79268684; -1; -1; 77471557; 372484809; 826308568; -1; -1; 915921137; 121775713; -1; -1; 739731867; 132719529; 34390544; 893469934; -1; -1; 663081083; 741273946; 584029436; 250757615; 746462501; -1; 709368080; 382304614; 767208928; -1; 456991781; 57151782; 525922773; -1; 510941939; 163225506; 437203900; -1; -1; -1; 596324710; 740224642; 354998156; 120123307; 43838386; -1; 568687720; 189499527; 167842323; -1; 754084118; 568209637; 583881231; 138641498; -1; 903145950; 701365608; -1; 961260756; 68498233; 848002147; 25787920; -1; 417101643; 593622560; 553153648; 162456589; 456042132; 78120019; 66825472; 908140785; 229416686; -1; -1; -1; -1; 866828876; 326941657; 288761141; 128868051; 773415707; -1; 885625170; -1; 800962012; 366125876; 186348989; 598461086; 949270539; 267712278; 197228201; -1; 110904339; 133869459; 589944015; 697028861; 428778085; -1; 121036095; 489643344; -1; 353836344; 67867052; 129185066; 35864711; -1; 489037230; 507080373; 194280051; 636321099; -1; -1; 861158008; 603944961; 143690191; 423638440; 209546713; 370384580; 644225257; 261671555; 479795789; -1; 948506058; 824122377; 293429006; 306642076; 620096322; -1; -1; 814607824; -1; 340386573; 434709786; 375857931; 400193702; 886603318; 296105953; 236991649; -1; 19294886; 625364859; 158039195; 835423552; -1; 32394048; 946165086; 1852653; 172372718; 298281867; 541688192; 701535153; 647347137; 148582205; -1; 208935144; 117865804; 642951032; 436453999; -1; -1; 570989630; 716661140; 515585207; 715592622; -1; -1; 527361402; 105660176; 563273577; -1; 803165379; -1; -1; 436565076; -1; -1; 634146273; 178555728; 517069629; 998630710; 760059425; 665702436; 115724809; 51341786; 324091335; 274120527; -1; 106897356; 318972946; -1; 329149017; 863929320; 613201611; -1; 266126635; 699598115; -1; 643910472; -1; 721609671; 661553526; -1; 20714926; 139272388; -1; -1; 225885961; 565215154; 234660634; -1; 714399449; -1; -1; -1; -1; 377920879; 434317283; 13998894; 282717962; 890448918; -1; 314285233; 200508803; -1; 775677109; -1; 230293642; 250862732; 121532380; 174863551; -1; 541426606; 828336734; 624163888; 492426689; 831133118; 844491147; 412150820; 548340769; 855963288; -1; -1; -1; 234278246; 894988896; -1; 501921697; 800298515; -1; -1; -1; 453223618; 919457669; 53633091; 158274989; -1; -1; 755999636; 399214750; 155057871; 381324272; 400064288; 326812709; 843402622; 588087907; 631728878; -1; -1; -1; -1; 366650591; -1; 206006338; 766540687; 353641776; 76429337; -1; 336218510; 658534974; 539741052; -1; 612010013; 149158610; -1; 601975074; 93160208; 262978035; -1; 459763833; 534562127; 453206056; 374545185; 983950188; -1; 297227262; 577852816; 644910651; 43025231; -1; 933585375; 549373745; -1; -1; 20240016; 390962740; 563527505; 918367905; 56174110; 599355570; 829349901; 540349350; -1; -1; -1; 340100517; -1; 223305471; 857820880; -1; 841321383; 543252798; 951724466; -1; -1; -1; 7274041; -1; 589721448; -1; 951595695; 477323546; -1; -1; 913457297; 657516453; -1; 680306204; 151585305; 368818333; 202533078; -1; 13646530; 153047701; 489297209; 180072178; 61613336; 97808943; 610191473; 583039015; 922496353; 126276408; 567196640; 509137930; -1; 291235566; 824299493; -1; 311601625; 186383099; 506405728; 311338284; 902240688; 110369591; 886790038; -1; -1; 511268019; -1; 338473637; -1; -1; 346932048; 287526752; 658814425; 895598917; -1; -1; -1; -1; 734833129; -1; -1; -1; 836291352; 773776928; 282412955; -1; 942445360; 782458380; 846050946; -1; 889092370; -1; -1; 981139917; 604249450; 391189982; 919162180; 407351097; 547402757; -1; -1; 500751977; -1; 920403241; 535229848; 427328135; 919315202; 236074653; 704779769; 545652992; -1; 589868788; 561799458; -1; 832353360; 819080473; 40014657; -1; -1; -1; -1; 447572407; 343002027; 709108129; -1; -1; 697382939; 374976789; 822101882; 938918492; 117780896; 602085540; 554593419; 785839303; 922903302; 484097333; 426881155; 428326741; 1390605; -1; 26345441; -1; 738333752; 420971242; 739198439; 229963240; -1; 842015242; 149567250; 573272738; -1; -1; -1; 31007241; 399380343; -1; 389390085; -1; 362538255; 126145837; -1; -1; 390119799; -1; -1; 369694727; 829932193; -1; -1; 769082592; 259734910; 624896186; -1; 477432173; -1; 601741421; -1; 294217813; 926424997; -1; 462338311; 405398694; 899440405; 489874139; 789391062; 366749836; 328503637; 220698202; 462189687; 417103196; -1; 714416491; -1; -1; 979904994; 536041708; 287873800; 252755070; 857793023; 550305222; -1; -1; -1; -1; 885052886; -1; 128378969; 979297565; 538318938; 329754937; -1; 686304974; 637859532; 862447867; 168715021; 769144784; -1; 802998077; -1; 201583320; 856996637; -1; 497153895; 44465853; 946138381; 501336453; -1; 281954174; 996210294; 723482092; -1; 796175822; -1; -1; -1; 665615384; 524927389; 503572558; 430506382; 716636462; 22295716; -1; 481108184; -1; 620127044; -1; 340548421; 887154555; 719724491; 915814075; 714001742; 565342002; 753559689; -1; 395340718; 906886936; 989974973; -1; 962662601; 644268315; -1; 892899074; -1; -1; 225952048; -1; -1; -1; -1; 312075310; -1; -1; 582004815; -1; -1; 489453361; -1; -1; -1; -1; 483859750; 446477771; 674325210; 295215870; 77466417; 676607030; 590842986; 611205949; 352683431; 840857391; -1; 671046648; -1; 304194185; 336421713; -1; 405449592; 465072076; -1; 957083078; 887597298; 907996928; -1; 357932336; -1; 533477850; 133376087; -1; 606607100; 191596634; 150587449; 122068545; -1; 246342010; -1; 436868612; -1; -1; -1; 337770150; 650068711; 500814951; 561381125; 547767091; 586217343; 246416165; 933271191; 131523638; -1; -1; 944159552; 567897611; -1; 399035406; -1; -1; 784614687; 314980743; 274373936; 241736022; 629108419; 836150814; -1; 812696313; 675888298; 977968105; 793804320; 708989415; 691035873; 477511846; 404814380; 206623246; -1; 926343910; 311546375; 792680789; -1; -1; -1; 52490969; 831800582; 265491208; 436807534; 491322718; -1; -1; -1; 201147619; 627118746; 686022573; -1; -1; 585020294; 202969454; 704642025; 25739640; 716821181; 744122691; -1; 164267120; 789264931; -1; -1; 138070868; 783479190; -1; -1; 987689225; 797084740; 188343011; 202486406; 768362341; -1; 531369932; 462142033; 570434219; 721197879; -1; 160118338; -1; 245319025; -1; -1; 470129300; 997822087; 762337238; 887763962; 823285763; 636198699; -1; 725082497; 156668818; 798762618; 472231486; 982025653; 276823673; 987895677; 697069998; 978645256; 925806801; 420541690; 45730698; -1; 786266742; 603217581; 583504515; -1; 923139190; 866192041; 947127662; 190666174; 623390991; 231047645; 26574076; -1; 380693259; -1; 130553660; 322546039; 598651254; 760302995; 910043560; -1; 663797221; 545961469; 304304160; 685084954; -1; 667003769; -1; 658536405; 498980031; 747777180; 912960661; -1; 280238055; -1; -1; -1; 224041588; 997010201; 313518744; -1; -1; 341153061; -1; -1; 438802465; 351164053; -1; 433767385; -1; 220843578; -1; -1; -1; 852277749; -1; 626025714; 522772038; -1; 552846537; -1; 741189767; 999198654; -1; 347282683; -1; 528763007; 592697120; 24280693; -1; 585508196; 90026510; 394859841; 13701118; 961931301; 513660748; 615162076; -1; 59469597; 827373230; 872161994; -1; -1; -1; 697498468; -1; 361024119; 119282212; 54193407; 702317767; 889683022; -1; 975934131; 1233940; 609216480; -1; -1; 502602176; -1; 606854874; 588797224; 98169864; 80561939; 785190538; -1; 302805653; 625583427; 122688682; 427590589; 304010369; 151760400; -1; 138382829; -1; 19402090; 420216977; 739616215; 910887115; -1; 761598124; 404501890; 766882240; 940879834; 473495197; 737333556; 741818938; -1; -1; -1; -1; 198963934; -1; -1; 980449538; -1; 125720183; 377099507; 1801840; 920826792; 908920220; 201698790; 194237140; 355444628; 281279321; 286724473; 447744247; 698115923; 325337159; 714374450; -1; 362338487; 155694694; 940504879; 791888201; 144960053; 190143584; 182423398; 172313126; 542874127; 641861956; 646162823; 495650578; 971631452; -1; -1; 240870608; 995238302; 525183205; 174289237; -1; 872217400; 111823070; 434376182; 580006220; 409115566; 832116691; 106765315; 118006517; 604579165; 382138528; 577285114; 438850832; 793891823; -1; 679857310; 483745032; -1; 367331931; -1; 347050373; 553634485; 795941233; 285009423; 442753062; -1; 817893060; 547520318; 788100336; 469900364; 712188795; 25553298; 164364964; -1; 360973738; 348685541; 181739793; 797314562; 777786389; -1; 840010531; 815426004; 648362020; 558800204; 710285221; 495568773; 55266115; 834182675; -1; 603152995; -1; 762171089; 647803327; 755989932; 759737001; 157187157; 370862933; 165474859; 194797371; -1; 340665978; 291152521; 16564376; -1; 662277894; 993389489; 964492378; 172963130; -1; 145743593; 266068841; 133171594; -1; 174797765; 343802304; -1; 151038890; 95378832; -1; 624683647; -1; 504204521; 207653257; 870629346; 941216686; -1; 536307716; -1; 68994498; 779907926; 112542215; -1; -1; 850616682; 997807913; 248692670; 137776182; -1; 727424791; 31747171; 709743706; 833513729; -1; 319716803; 646602186; -1; 972790378; -1; 802740219; 301464061; 173198107; -1; 407114829; -1; 524853538; 944156915; 232111769; 237624188; -1; 103782622; 168231874; 697360732; 591183594; 744423361; -1; 526142904; 68793671; 373981194; 881863145; 467842276; 255996987; -1; 324641797; -1; 794059095; -1; -1; -1; 308719634; 843888121; 439261015; 975645005; 180024180; 236703634; 304350348; 708528191; -1; 292129385; 925800677; 125151575; 282798887; 17225334; 864583409; 981455445; 556787233; 580581943; 335295683; 83855293; 657325460; 790072286; -1; -1; -1; 299344507; 358410134; 850251032; 476566501; -1; 764704599; 904617265; -1; -1; 827741532; 500714340; -1; 638960849; 172896343; 544240465; 449713940; 710232672; -1; 73911460; 823665254; -1; 336936658; 364401953; 768114402; 257918039; 217206823; -1; -1; 169788625; 440777055; -1; -1; 50529726; 761962271; 688678824; -1; 279986260; 579899074; 680886645; -1; -1; 588593465; 804697983; -1; 443012416; -1; 714007031; 860910292; -1; 899968197; 82987836; 742451748; 100324442; -1; 93588739; 71486943; -1; 795569978; 372633216; 668759502; -1; 292649361; 113742453; 249872454; 920882826; -1; 468613217; 624271043; 555476744; 821637538; -1; 125276695; 828976088; 924190754; 959426937; 335339915; 323506599; -1; 632442792; 587504105; -1; 461017971; 819677256; 73664239; -1; 370334681; 49357886; -1; 871775783; 155235246; 414318749; 978215551; 376409245; 882283583; 173137074; 649859426; 361450998; -1; 208598360; 297197512; 133677926; -1; 857204620; 786316871; -1; 770391090; -1; 187296852; 251943167; 317954992; 815897983; 118842502; 981997717; 356646789; 100506413; 35669237; 727727249; 106185000; 355909894; -1; 458896643; 809489811; 821586154; 211401675; 958018960; 422299480; 690807936; 956603634; -1; 218932290; -1; -1; 553807530; 823566115; -1; -1; 966792353; 603819832; -1; -1; 920847371; -1; -1; 644456138; 885214067; 230259915; 917104848; 492198178; 270107073; -1; 776323161; 71505137; 281912944; 67821348; 998517169; 543035180; 97628268; -1; 843913621; -1; -1; 288654150; -1; 346266754; 327801421; 198312764; 70407735; -1; 464026713; 795402127; 708942183; 448077884; 168749609; 56333967; 825124473; 74446792; 662207615; 725221148; 702879988; 492127351; 117116506; 282187043; 421839593; 729632498; 866040888; 120126094; 956581845; 252606296; 650231756; 832948404; 815113501; -1; -1; -1; 181662685; 973428925; -1; 719740457; -1; -1; -1; 347869542; 579304008; -1; 186034836; 237857674; 577415955; 647172716; 341610273; 809183780; -1; 235286174; 743227279; -1; 22601615; 199766074; 983439991; -1; -1; 320206144; 912449825; 846510788; -1; 893941509; 754340221; 864457868; -1; 505950939; 607760810; 709978294; 84510241; 359951665; 869458733; 866507064; 82419090; 646001613; 783684661; -1; -1; 109886853; 794815945; 566238877; -1; -1; 960217063; 306057444; 405461261; 743587136; -1; 115719967; 257739100; -1; -1; 938800060; 714960835; -1; -1; -1; 658969461; -1; -1; -1; 396369995; 18307417; -1; 41476946; 320088888; 821100829; 108722986; 305624593; 573671820; 737866500; 919290686; 658241127; 887255791; 489664855; 67562882; 267641837; 837177249; -1; -1; 828050902; 854204415; -1; -1; 999606501; -1; -1; 138369171; 745650902; 632591192; 560865542; 570889733; 872686614; 614694200; 209020112; 42320698; -1; 323992332; 592042611; 444525017; -1; 80981348; -1; 892685780; 821211071; 56159299; 830230641; 692687382; 796144773; -1; -1; 694832285; -1; 677550848; 49995335; -1; 988760729; 421166870; -1; 801557897; -1; -1; 757434878; 213849016; 446178071; -1; -1; -1; 347252115; -1; 182799438; 755642113; 13087860; 751938237; -1; 743980151; -1; 371330475; 527406934; 827105206; -1; 734972680; 514777073; 237090673; -1; 764367870; 271067808; 487956699; 572806605; 73059210; 159609834; 921805397; 316527075; -1; 533380591; 580273401; 814940711; -1; 28998744; -1; 420309079; -1; -1; 657185929; 938713211; -1; 479631622; -1; -1; 216368398; 833161304; 371419663; 749746460; 856583278; 439554793; -1; -1; 669522318; -1; 276650919; 390444165; -1; 414158899; 517216202; 10437019; 964971685; 321730327; 382197132; 878537017; 643269962; 342838557; 584676026; -1; 926083487; -1; 570173601; 562594221; -1; 956082000; 519135678; -1; -1; 834747104; 217532483; -1; 153265692; 517277996; 410157398; 895098333; 207012750; -1; -1; 295179739; -1; -1; 70876103; 703939530; -1; 984548348; 439140377; -1; -1; 854876998; 458137941; 2337747; -1; 205869423; -1; 129100565; -1; -1; 897025365; 313228152; -1; 858637158; 260177168; 673930746; 907296271; 635252324; 156701796; 950468661; -1; 883062488; 199845338; 212941171; 318413599; 510343548; 298700003; 698289558; 993222540; 77859119; -1; 552283498; -1; 441363197; 477163736; 251363202; 712816986; -1; 503282481; -1; 828290980; 587022974; 367459963; 228301265; 316134031; -1; -1; 470941502; 166433728; 790054141; 227797768; 779136426; 553443917; -1; 230631918; 760460542; 459850132; -1; 658141369; 581029365; -1; 782842648; 478706781; 484759328; 837967933; 252875774; 825499581; -1; 90783011; 819590472; 832084647; -1; 856393989; 864711590; 79664128; -1; -1; 852797602; 567750103; -1; 49341226; 710212986; 865971431; 448882944; 511291268; 233097646; 995431747; 807890823; 201647214; 793892987; 529133597; 843971894; -1; 657519308; 141474232; -1; 88352205; 838326370; -1; 487189564; 59810648; 223203667; 370407872; 419965113; 114233038; -1; 28884711; 504969469; 637407889; -1; 810190726; -1; 781942623; -1; 791128799; 972838881; -1; -1; 156703116; 44913464; 875325940; -1; -1; 352482269; -1; 606439685; 311710497; -1; 52597514; -1; 373819176; 914749621; 409965037; -1; -1; -1; 730432051; -1; 383262137; -1; -1; -1; 216380932; 783330417; 761584220; 973841334; 578266257; -1; -1; 478461341; 830871056; 741859468; 35676689; -1; 313328622; 873779310; 444830615; 535144757; 560380106; 260894399; 445290453; 15095032; 902950266; 979229112; 731172028; 871554748; 851994592; 632423608; 293837204; 821189087; 65301411; 680150121; 103241018; -1; -1; 287990942; 324615891; 105937885; 405129633; -1; 61022239; -1; 642030007; -1; 252690661; 830329826; 747951989; -1; 167449983; 670196420; 422891297; 377615905; 708340203; 277354199; 369021675; -1; 826645665; 80321236; 32307516; 541227501; 423913925; -1; -1; 294753996; -1; -1; 814145602; 194375688; 925604124; 895172254; 408041088; 661618315; 340755428; 135777548; 148898629; 226651734; -1; 758751213; -1; 592588409; 600237290; -1; 744828618; 860517200; -1; 966968463; 974842199; 852405670; 235002318; 548909882; 231094271; -1; -1; 276693034; 1800988; 812972274; -1; 589340454; 257741632; -1; -1; 141986597; 412903744; 653178488; -1; -1; 730180568; 981958583; 674278074; 892830698; 689056064; -1; 504686185; 553395272; 8318007; -1; 918810295; -1; 937755205; 944811860; 224556832; -1; 464479686; -1; -1; 241943808; 754417802; -1; -1; -1; 703839347; 165957347; 766618604; 850552813; 661811656; 466983707; -1; 556197358; -1; -1; -1; 262724766; 407944308; 481229495; 568860816; 80385503; 694667052; 7035780; 873129722; -1; 315972614; 297689201; -1; -1; 386751183; 643764822; 84395013; -1; -1; 303824007; 254232351; 846120708; 856713122; 118896074; 245513996; 470976394; 777489534; -1; 249814642; 791976549; -1; 860381609; 16326696; 337398505; -1; 986453942; 637682863; -1; 502179815; 902711800; 271155798; 577771225; -1; 995312236; 602156486; -1; 361932379; -1; 650565620; 699075552; 439054182; -1; -1; 316228884; 248954528; 204694521; -1; 169409593; -1; 124551154; 496784234; 4940457; 305893934; -1; 516550419; 143096548; 572443023; 889149118; 313523355; 749962726; 26813609; 517974743; 335501481; 885297545; -1; 454602766; 954572213; -1; 819710009; -1; 344467922; 321714045; 348652569; 795007535; -1; -1; 444043072; 203214874; 328700294; 589601410; 695674854; -1; 3935053; -1; -1; 972004645; 714399540; 941847255; -1; 703930040; 83380369; -1; 612509126; 61052743; 888507177; 919638308; 695198214; 242208224; 312614701; 368004532; 969379271; 344742428; 219417077; 348657627; 752069994; -1; 411512692; -1; 629241513; -1; -1; 699117081; -1; 922700556; -1; 176470197; 442152436; -1; 569641020; 931831502; -1; 271234362; -1; 647861756; 55556224; -1; 400451492; 37170369; 980280671; 993149718; -1; 299492003; 350261006; 585569282; 24351588; 366118104; 549059783; 155866104; 166498422; 656682103; -1; 264957170; 156811185; -1; 243777829; -1; -1; 83773649; 802450692; 581758905; 177371393; 589416028; -1; 726051859; 394734188; 66345094; 225267473; -1; 371885198; 905872869; 998698233; -1; 165168015; 397410418; 871406061; 483267342; 249927610; 978382094; 724496502; -1; 868142604; -1; 658095790; 693792109; 752783271; -1; 473635273; 5112488; 51570302; 130225169; 958158379; -1; -1; 539960239; 406220204; -1; 144730463; 333127123; -1; 721649403; -1; 909509522; 727099058; 491740050; -1; 547408015; 948889775; 120103465; -1; 604259899; 726556824; 856209159; 722811877; 42124266; 5933756; 266421744; 614196794; -1; 857940285; 989185062; -1; -1; 762328613; 597147961; 657656223; -1; 514396443; 530348110; -1; 229385534; -1; 845676651; 237075357; -1; -1; 130597196; -1; 766821279; 315272279; -1; 646739637; -1; 12590195; 807741600; 430793584; 297111360; 175745403; 378922584; 93846906; -1; -1; -1; -1; -1; -1; 321401932; -1; 116886596; 182648757; -1; 620360329; 104544314; 575155245; 358467794; 577297413; 557758788; 573960630; -1; 154785947; 887880497; 65514659; 87956824; 121209950; 621933161; 578050748; 96696626; -1; 477330510; 903368812; 186781357; 330820086; 79403120; 509236178; 146104140; 67202297; 89358441; -1; 458902074; 115851204; 644892318; 601360958; 168469391; 286890162; 81512212; -1; 205962941; -1; 100704805; 401172238; 531536094; -1; 994309572; 427397088; 965252558; 564319015; 85820483; -1; 452792753; 881513881; 769088307; -1; 525851242; -1; 47620290; 33469329; -1; 147199818; -1; 162289431; 880961156; 103363838; -1; 911845314; 157373388; 995663859; -1; 687028001; 793767916; 721334174; -1; -1; -1; 62962544; -1; 674455621; 578392770; -1; 682565904; -1; 760882227; 34370185; 970579873; 344759964; 422882388; -1; 903940080; 881265067; -1; 433877672; 982675005; 757073145; -1; 682390924; -1; 675412748; 640787418; 942427481; 560325251; -1; 510186969; -1; 807602398; -1; 516721813; 359864676; 262962799; 878982493; 177762723; 117388418; -1; 330283914; 216184276; -1; 248223459; 158035844; -1; 296369991; -1; -1; -1; -1; 795617805; 873818899; 964662679; -1; -1; 371026580; 828754689; 567565254; 87906163; 656669343; -1; 225466329; 948121787; 907224687; 471648184; -1; 449871535; 638454744; 180973142; 929886387; -1; -1; -1; 365646194; 836166212; -1; 490012185; 661942719; 446818118; 20107922; 920723648; 743546898; -1; 978311875; -1; 701550946; 621144350; 958728328; 740134257; -1; 737713153; -1; 762547044; -1; 925899069; 779518942; 786741352; 94344395; -1; 741901355; 891034031; 706045658; -1; 421364384; -1; -1; -1; 607143085; -1; 122939101; -1; 401492778; -1; -1; 98039488; -1; 976095990; 260648926; -1; -1; 399084541; -1; -1; 383561510; -1; 979652211; 107274245; 1931958; 223367867; 127140759; 572434187; -1; -1; 868836089; -1; 75352553; 223471108; 122353655; 813453274; 257088413; 608209868; 90978531; 906171774; 42574462; 847063076; 300453223; 975290637; -1; 398232673; 999403894; -1; 682802703; 719273798; 809746514; 128410136; -1; 828141589; 848746428; 325139225; 864592937; 184044542; -1; -1; 518745530; 457253840; 410843376; 475834212; 608076674; 825775150; 715865005; 218883917; 162829977; -1; 66847372; 630572933; 273009504; 540307652; 570585664; -1; -1; 812634952; 180398181; -1; -1; -1; -1; 111247465; 988487862; 124928519; 191353156; -1; 266667948; 515144015; 263914109; 769824439; 195366451; 317418629; 34189612; 85499412; 345460517; 120390838; 883281404; 34541923; -1; 975489239; 218816280; 350043215; 678956146; -1; -1; -1; 430893297; -1; -1; 240559532; -1; -1; 180647455; -1; -1; -1; 132749754; 842511766; -1; 460955033; -1; 3026093; 762832997; 368645749; 648992765; -1; -1; 631747887; 32986074; 699781070; 677422330; 636421929; 885761484; 139920179; 274983942; 9735866; 517106772; 14614864; -1; 298049221; -1; -1; 973726690; -1; -1; -1; 197864910; 171594201; 587952752; 567656797; 518308661; 114070572; 706021232; 14629726; 729058771; -1; 873794193; 862171130; 402065008; 697976221; 689783540; 426797006; -1; 56215630; 505971281; -1; 606377215; 720622510; -1; 506810866; 188471793; 914149153; 201036975; -1; -1; -1; 430799796; -1; 662528464; 244360918; 160202014; 144512576; 139493760; 633588839; 861068793; -1; 596126161; -1; -1; -1; 371454220; 158727496; 605303492; -1; -1; 186641760; 818566411; 206661706; 564517320; 942934509; 416831363; -1; 930455810; 752748924; 495868175; 831288700; 118683597; -1; 458755820; 579149289; 591470318; 108814083; 269429598; 436491213; -1; 338419632; 905493623; 309115340; 998453306; 757949340; -1; -1; -1; 59460889; -1; 3866663; 6077173; 38986848; 546648585; 173644497; 984625106; -1; -1; -1; 712228022; -1; 93901246; 884785066; 734084248; 810331186; 119187389; -1; -1; -1; -1; 555471356; 159069446; -1; 196285771; -1; -1; 211242675; 571967754; -1; 446334194; 51541123; 422255823; 950808022; 642957922; -1; 797031243; 274337402; 212008150; 82008107; 219538465; -1; -1; 86400482; 833223466; 493206488; 992553890; 491582353; -1; -1; 501848005; 570947894; 305134416; 435426545; -1; 409832374; 430274485; 909259163; 644569647; 526799620; 931984503; 721328913; 326575551; 408618015; -1; 370674222; 656575078; 626740193; -1; 716731907; 339706105; -1; 983361313; 259290170; 835259587; -1; 352547232; 944895212; -1; 815967363; 837427512; -1; 690775385; 199986128; -1; 434924193; 81819704; -1; 731286420; 523829975; 903483336; 775514467; -1; 235159491; 187477954; -1; 821352724; -1; 848483236; -1; 307342497; 52962484; 43417610; 664299559; 303672241; -1; 21564789; -1; -1; 656252159; -1; 431308237; 97102195; -1; 440684911; 465124242; 480775765; -1; 239440549; -1; -1; 430870693; -1; 903935652; 670944893; 92038939; 823800546; 695295605; 754399599; -1; 541303178; 99551569; 312751829; 922414585; 101708053; 623509591; 208819103; 499403410; -1; 940824038; -1; 156863541; 85948727; 515361533; 425210137; 941795209; 725807847; 316185885; 359034295; 614374160; -1; -1; -1; 15311562; 511282710; -1; 814846558; 652256914; 769530009; 918143642; -1; 515520978; 773827830; 373515010; -1; 355530712; -1; -1; 655055823; 150632474; -1; 434062869; -1; 736641960; 396289091; 156214467; 294574864; -1; -1; 200455874; 39808215; -1; 994236881; 973912812; -1; 760431746; -1; 118859125; 578543660; -1; -1; 623647682; 410806552; -1; -1; 408819146; -1; 431510829; 480338508; 31537953; -1; 782085225; 447252921; 854623778; 381596416; 811324389; -1; 605825616; -1; -1; 347685581; 236146237; 308274099; 948890051; -1; -1; -1; -1; -1; 880423687; 462048701; 673374275; 574961687; 808312884; 383324274; -1; -1; -1; 381133275; 1026683; 732196905; 84227439; 523606139; -1; 129170190; -1; 729931242; 270304408; 551903488; 200199611; -1; 957172995; -1; 329863749; -1; 37878491; -1; 144388618; 175080569; 507068819; 587265629; 60625496; 716347363; 413967239; 784723070; -1; 47149896; 615283009; 242467823; -1; -1; -1; 766882579; 1026669; -1; 384282615; -1; -1; 952823651; 735138631; 788232258; 437363427; 746303002; 365804294; 551674424; 817786084; -1; 608520412; 987025050; 346097802; 506466323; 308809759; -1; 220747965; -1; 191195769; 512950572; 110764610; 298619855; 871805700; 565617981; -1; 479609796; 50789084; 62775212; 135269350; -1; 796874822; 820858034; 850640629; 58591453; -1; -1; 112991064; 107044786; -1; 124414286; 873958409; 878439592; 577808669; 143017873; 211468326; -1; -1; 489304245; 754998439; -1; 317598856; 173112486; 846486400; 795115044; 622576849; 82895252; -1; 888636442; 285420707; 33574404; -1; 293315054; -1; 289752655; 73708006; 567961880; 133057002; 512294301; 630236947; 929303930; 13268932; -1; 252905657; 192710852; 593441644; 640847976; -1; 963489067; 999257331; -1; 930460528; 651214205; 305660900; -1; 36550806; 767593751; -1; 919210624; -1; 8258455; 817531810; 970262536; 756191893; -1; 926953175; 471243177; 682515311; 22276824; 375631324; 490346007; 199369788; -1; 902882796; 553660852; 853208305; 383894840; -1; 254690265; -1; 753045325; -1; 408509622; -1; 168832563; 778058104; -1; -1; -1; -1; 256341906; -1; 948233992; 678087839; -1; -1; -1; 773000315; 41642488; 995019329; 583578620; 862828607; 30721436; 44406396; 711621045; 573338465; 236351922; -1; 987830600; 692008676; -1; 568137491; -1; 987562266; -1; 432333862; 905564088; -1; -1; -1; 845949975; -1; -1; -1; -1; 905969475; 508135056; 669055013; 815450365; 292033767; -1; -1; -1; 624255185; 380475557; 390362316; 579061666; -1; 648230380; 37180390; 381156657; -1; 402060521; 830355163; -1; 449094737; 90284889; 80605617; 310996186; 694797293; 485707091; 474844289; 945235159; -1; -1; 368257654; 866259894; 862001589; 342027314; -1; 845117053; 356601052; 126785908; -1; -1; -1; -1; 170344101; -1; 993157353; 763407533; 936632689; 597779220; -1; -1; -1; -1; 275390105; 339683441; -1; -1; 738104665; -1; 708302015; -1; 50919525; -1; 268187143; -1; -1; 683017167; 9980065; -1; 740503146; 799760905; 937246509; 445415128; -1; -1; 713130687; 586090160; 368325646; 14126144; 905445202; 773370823; 296826412; 134560945; 149649380; 152245539; 18688663; 59717130; 125849667; 939965299; 192330000; 966818912; 478206250; 474600411; -1; 326210336; -1; -1; 532323116; 320999303; 913538603; -1; 175711986; 105514104; -1; 932171528; -1; -1; 986990351; 28496068; 751209983; -1; 662743746; 465551993; 409540256; 237783027; 506611659; 498625913; 416529536; 684813484; 387885658; 809362023; 953704064; -1; 188066054; 502710883; -1; -1; 210913021; 480417076; 457404135; 430285497; 107015874; 840230026; 955180199; 505721232; 524784521; 100873143; 313715832; 502940434; 285418980; 164126933; 228019889; 810843750; -1; -1; 682940084; -1; 539094353; 49951689; -1; -1; 563040406; -1; 992728992; -1; 507994854; -1; 657456123; -1; 715757844; 989799616; 579068530; -1; -1; 860699395; 683442648; -1; -1; 339846993; 309605458; 299615947; 909247077; 752120087; 281786600; 569682895; 267551446; 76493790; -1; -1; 397107668; 556796667; 36256800; 920956710; -1; 797719843; -1; 230674592; 666199014; 19443657; 797120889; 140559552; 164549732; -1; 757142462; 630194190; -1; -1; 453609841; -1; -1; -1; 532553691; 282390223; 728637962; 750082894; 527586333; -1; 333153654; -1; 401461948; 903899889; -1; 220522883; 303572240; 725390909; 948027292; 237847965; 80248570; 361952725; 709981496; 359911988; 918442422; -1; -1; -1; 937517493; -1; -1; -1; 894129658; 47482648; 577806809; -1; 45109711; 664648279; 534427731; 348169953; -1; -1; -1; 959726857; -1; 305770166; -1; -1; 941245669; -1; 66131750; 517869193; 244876562; 645474223; 341167532; 294995049; 769271572; 611974566; 918681252; 523712720; 950849501; 673158499; 243097954; 372768270; 295470962; 645335242; -1; 565752881; 248963430; -1; 660038014; 324143708; -1; 367243709; 307548318; 50767966; 422804263; -1; 446188596; 337953441; 827838697; 252966296; 257190700; -1; 141378807; -1; 627734234; -1; 505476419; 30659937; 782223084; -1; -1; 14851692; 833135914; -1; 522284874; 64483297; 389320507; -1; 473363085; -1; -1; 590906498; 971071527; -1; 59347421; -1; 370426190; -1; 381032735; -1; 40058829; 195637369; 859966401; -1; 546858151; 661841238; 229047686; 567356429; 611996227; -1; 312226320; 468500096; -1; 841079615; 374755549; -1; 216108608; -1; 882076370; -1; 241172901; 324961716; -1; 206225930; -1; -1; 981625077; 504198879; 842734026; -1; 650660681; 418807603; -1; -1; 260688216; 110208277; -1; -1; -1; 918228504; 121236228; 789342067; 501924047; 412202133; -1; 936491518; 9880509; -1; 213697608; -1; -1; 278321448; -1; 32636753; 905865296; 577033113; 14916845; 119451890; 313107456; 710058053; 6247850; 638937602; 733662707; 748922758; -1; -1; -1; 858636930; 485623100; 995096491; 417563176; -1; 203884481; 916616962; -1; 17063063; 205600096; -1; 476369574; 799644471; -1; 731708838; 15305439; -1; 806264301; -1; -1; 980365888; 268877051; -1; -1; 987715149; -1; 120064103; 597048679; 437176420; 927046054; -1; 494919638; -1; 9975625; 129343911; -1; 514431457; 117393543; 609471916; 389211593; 153115214; -1; -1; 841354940; 656461363; 744318628; -1; 427249061; 670055188; 906596867; 552375837; 860015256; 302649100; 284047386; 675996786; 301245653; 671153849; 673182943; 30066987; 832869088; 964971739; 114953262; -1; -1; -1; 761809984; 669333738; -1; 416567244; 214655890; -1; -1; 747598403; -1; 396045111; -1; -1; -1; -1; 323360267; -1; 210242186; 416680175; 922105218; 624415841; 758172299; 175852312; 657138342; 300688355; 484815294; 274266592; 714080978; 793304134; -1; -1; -1; 464035305; -1; 341235094; 687343369; 413348888; 780589847; 352097083; 102090611; 772570429; -1; -1; -1; 415948633; 709046487; 272763563; -1; 955145960; 759480655; 76063659; 774471130; 751260379; -1; 540463342; 996179456; 45531606; -1; 198176472; 6375041; -1; 93630905; 825757114; -1; 682610282; 731735256; 154679016; 515289435; 741225523; 269750346; -1; 330248879; 262551665; 695134088; -1; 120084778; 416789571; 92879829; 549166992; 226997387; 339371663; 11217270; 586937282; 568961238; 921161719; 94620422; 917951017; 925473189; -1; 775566403; 898736906; 854240759; 940418979; 504044435; 554083127; 546165063; -1; 762808418; 938175336; 487107635; -1; 791215392; 973059469; 693805349; 389874794; -1; 103673120; 878608219; 220183178; -1; -1; -1; 974654876; 234381591; 135728733; 855256016; 381518003; 661453322; 173605606; -1; -1; 722696467; 106746245; 13909744; 814342725; 750435018; -1; 299505263; 417712380; -1; -1; 219530636; 825446826; 689189802; 939937558; -1; 906801361; -1; 280081761; 940640714; 911758022; -1; -1; 263039172; 371439047; 162912700; 870607724; 488607618; -1; -1; -1; -1; -1; -1; 879425486; -1; -1; 815656310; 278596658; 287025359; 668348866; -1; 734725951; -1; 68687087; 963954248; -1; 239391947; 976565129; 109964379; -1; 984502400; 790577541; 250388316; -1; 428355227; 636689579; 852488715; -1; 846043683; -1; 838485153; 721300051; -1; 882392284; 227204399; 188244329; 79657215; 291674501; 976764758; 263212308; 658079454; 202823729; 711285114; 989616616; 8360788; 590159408; 653687657; 679966091; 118281705; -1; 342629048; -1; 784431301; 10073313; 735930150; -1; 860798757; 338610673; 144964711; 918750834; 825122200; 727688289; 96642920; 99976946; 633991274; 326503426; -1; -1; -1; 482410882; -1; 593485832; 746971390; 809413929; 260857025; 139870554; -1; 698349969; 559668700; 141066234; -1; 353004620; 335192409; 809280285; 711676701; -1; 39668211; -1; 641177440; 731258515; 496131476; 337714171; 501683205; 811830892; 655879786; 111038490; 923175305; 295545090; -1; 148437243; 261680959; 435361693; 595683341; 11516825; 886937826; 912800149; 56507764; 537288603; -1; 172317561; 99283299; 480700027; 591439283; 688571968; -1; -1; -1; 127043267; 893202408; 664022338; 395932150; 845979245; -1; 300178421; 509993228; 63420163; 974006174; 118129178; 406302308; 660965314; -1; 704657164; 597465885; 392550136; -1; 386958620; 454125418; -1; 410872058; 512275094; 109235142; -1; 470030184; 173310936; 894964139; 134223383; 482972569; 350280374; 527513825; 766901950; 261642529; -1; 560381227; -1; 50850944; 176146261; -1; 939738977; 410729360; 655266122; -1; -1; 578922817; 301132010; 648741354; -1; 255454097; 142137883; 396443351; 747830723; 566423872; -1; 586255377; -1; 613362266; -1; -1; 183052894; 267762233; 361359531; 331231169; 910266578; 290641127; 718400083; -1; 633322518; -1; 124074478; 169571187; 305841773; -1; -1; -1; 308806604; 739435205; -1; 792539162; 809490423; -1; 528919142; 530817408; 930470786; 532928021; 825284666; 364809615; 492809787; 884521335; 552873625; 647195163; 451754912; 392275455; 167013148; 452845077; 280600949; 861268624; 37417383; 143014861; -1; 818647496; 816506381; 44346044; 751038129; 785133612; 259639501; -1; 718856822; 800732561; 218060313; 108012247; 493586108; -1; 141566397; 976806802; 774318095; 353137220; -1; -1; 947903368; 897820391; 257604487; -1; 151057463; 897358322; -1; 729279564; -1; 291544126; 443529493; 733105538; -1; 677362144; 904043897; 762709275; -1; -1; 834351855; -1; 781185314; -1; -1; 447289328; 75142038; -1; 903050987; 662273705; -1; 86316074; 323506835; 615002393; -1; -1; 543609062; 118797224; -1; -1; 827005339; 770812499; 634558378; -1; -1; -1; 819502758; 258833404; 846887866; 275184649; 398013346; -1; 624464549; 664958349; 626437151; 600439189; 463432897; 934074552; 774987213; 838744497; 661938655; 392804270; -1; -1; 105017118; 823332422; 409733515; 486481695; 300495789; 440721039; 337009035; 133131812; -1; 471121721; 96822375; 944566574; 704982147; 263295349; 61925658; 969379831; 804116794; 97055079; 798402497; 239055657; 445431887; -1; -1; 613543959; 138929125; 247234913; -1; 252635059; 524632623; 384580306; 997454215; 840972242; 351626932; -1; -1; -1; 243793320; 483880253; 193971339; 259621622; 445359442; -1; -1; 896750620; -1; 552818900; 198711191; -1; -1; 97281228; 569630878; 263262071; 966370378; 868454467; 106046570; 104427694; 668537464; -1; -1; 705713813; 626239204; 570119262; 275008134; 360913401; 12644619; 336059467; 457114259; -1; 208576676; 492636004; -1; 50501659; 542442896; -1; 695553925; -1; -1; -1; -1; -1; 209239365; 23564350; 102183485; 665303781; 530202216; 591910665; 567614631; -1; 157200306; 381311543; 349020294; -1; 351650646; 880189025; 354299144; -1; 736610728; 66547973; 51027832; -1; 203545243; 369812244; -1; 961980372; 462137970; -1; 937845569; -1; 700941873; -1; 321909214; 256280346; -1; 974692561; 846827418; -1; 467888470; 680401950; 795993138; 851890222; -1; 208620544; -1; -1; -1; 548802942; 819713327; -1; 814922132; 557077413; 80390313; -1; 313130192; -1; 155954526; 803790818; -1; 470595187; -1; 443416719; 322519284; 481799645; 512594108; -1; 4658367; -1; -1; 713254185; -1; 549764120; -1; 465145303; -1; 788884451; 456657688; 927933608; -1; 949155238; 211335269; 929362974; 549056949; 612028816; 447470787; 172536794; 419873750; 823389273; -1; 209434906; -1; 995868892; -1; -1; 659795277; -1; 172611076; -1; 133009135; -1; -1; -1; 503180208; 59938983; -1; 360472488; -1; 327623107; 394038626; -1; -1; 858747109; 990411668; 558245060; 292493361; 700230267; 648392857; -1; -1; -1; 985751571; 264778550; 654785288; 86399176; 844039693; -1; 157529081; -1; 203170572; 711642737; 300627202; -1; 91576012; 333141014; 231587956; 570043714; 227447747; 809595617; 159252202; -1; 761094255; 543201645; -1; 728333649; -1; 947384766; 473759720; -1; 290451560; 23229636; -1; 697192240; 887524977; 48604665; 464906926; 643543512; 737670320; 240900998; 5626069; -1; 638143163; -1; 487241286; 713558969; 367057116; 312531000; 929715142; -1; 217322282; 39821723; 846199433; -1; 198750004; 67584826; 728493259; 80994266; -1; 699736254; -1; 180171616; 529636036; -1; 721334766; 472688461; -1; 10878918; -1; 560679096; -1; 443405295; 888070227; -1; -1; 59887539; -1; 703557084; 13478860; -1; 52620174; 961961307; 32571858; 423748802; 330799634; 642129533; 657773696; 913999087; 676052799; 265908672; -1; 253985532; -1; 102795789; -1; 300096652; 90679124; 947023843; 689523679; -1; -1; 914024618; 483418741; 151749950; -1; -1; 400678970; -1; -1; 937138202; 741076511; 8801650; 95853050; -1; 360924135; 10977794; -1; 828514985; 217571913; -1; 435551017; 841016561; 806849967; 803647057; 467830597; -1; -1; 949824402; 122220742; 752519; 948726386; -1; -1; 652522905; -1; 721830859; 799669297; -1; 105458914; 589038911; -1; 154799825; 200996432; 936519372; 25691830; 451387791; 77557250; -1; 881319686; 395926054; 430235930; 334471512; 992128126; 326232581; -1; -1; 361627916; -1; -1; 150531791; 961431204; 417781044; 868940743; -1; 560051797; 711138436; -1; 639712719; 807704036; -1; -1; -1; 614968146; 11381660; 449337585; 855466761; 933301987; 181122262; 172998800; 344965764; 663522043; -1; -1; 185503107; 493564145; 96171694; -1; 703043636; 938846431; 721544764; 264559700; -1; 837660; 671303219; 574067857; 259307886; -1; 233242894; -1; 152904365; 392937674; 769252910; 319178713; -1; 299833368; 538303640; 567074447; -1; 533766334; -1; -1; 202638566; 290882485; -1; 348565579; 533046841; 157920686; 107009441; 695130085; 821392520; 139242252; 460577307; -1; 265732155; 126358847; -1; 104941872; 769035950; -1; -1; 810977172; 189471803; -1; -1; 489296471; -1; 91709010; 302234377; 700952775; 666163839; 778314203; -1; 598044323; -1; -1; -1; -1; -1; 583842024; -1; 585642891; 487241259; 11189610; -1; 35176071; -1; 774684017; -1; 976347221; 283158313; 44651142; -1; -1; 731848796; 426156054; -1; 794976746; 90197194; 139977064; 862083233; -1; 666494192; -1; 317025455; 593350448; -1; 278867308; 467206737; 105646898; -1; 814484560; -1; 727944543; -1; 298111368; 209170545; 302560922; 109567492; -1; -1; 963330498; 91894954; 902419211; 786436992; -1; 809961672; 146116699; 20856169; 277659688; 308393617; 175148071; -1; -1; 364018984; 238376898; 64690413; 947470464; 430612878; 586348912; 419455823; 826838786; -1; 514786680; 618451876; -1; -1; 946423893; 860235832; -1; 375123689; 885385172; -1; 980712998; 96750732; 874416636; 300262233; 768452781; 839936468; 253318926; -1; -1; 539723487; -1; -1; 57236602; 336530170; 660670407; -1; 179759258; 629272248; 700417994; 274115318; -1; 984528251; 573371230; 890079180; 695155700; -1; 148887779; -1; 757458577; -1; -1; -1; 974554143; -1; 328874969; 508584879; -1; 921905356; 231346536; 180553052; -1; -1; 229372838; -1; 804137785; -1; 85128433; -1; 844753358; 463044514; -1; 947943524; -1; 977793160; 204305476; -1; 239785701; 472856099; -1; -1; 947034467; 324869100; 208415045; 432308540; 558929432; -1; 621070803; 897169062; 69928904; -1; -1; 442454876; 171620259; -1; -1; 380285031; 124326874; 434691969; 175410743; 126399841; 647087656; 989732622; 735706490; 383424481; 313885954; 849529210; -1; -1; -1; 100195873; 70758732; 100159319; 736941124; -1; 521765424; 620098938; 123960151; 762370231; 210528670; -1; 707681848; 723774200; 634560761; 472010613; -1; 56123009; -1; 290080158; 115328179; 757314297; -1; 580777570; 747189057; 407131548; 907115498; 916782943; 459438546; -1; 794869343; 311318744; -1; 301891274; 973067686; 219504813; 313340970; -1; -1; 405465558; 71918303; 542271829; 80994930; 451997455; -1; 513613036; 773286298; 403515368; -1; -1; 301998302; 335062009; 700527639; -1; 135737112; 534498492; 324412376; 589329563; 965496852; -1; -1; 757840105; -1; 769248915; 822798133; -1; 626787596; -1; 702942378; 848047211; 605321698; 181354490; 472775837; 103900788; 727957278; 892979912; 452512172; 260403340; 56600456; 900906; 814047992; -1; -1; 805818886; 262987063; 180353627; 498148320; -1; 792317417; 920557035; -1; 880241431; 224282573; 329661337; 272871986; 330277541; -1; 439077008; 570863796; 763974951; 369423239; 368035450; 952577022; 351193659; -1; -1; 999942038; 192739533; -1; -1; 805158814; 193164715; 39592348; 447843865; 450064657; -1; 510557685; 501454658; 855900791; 83824625; 25912558; 390000126; 468016618; 801213210; 980838916; 440119397; 73428808; 369789037; -1; 859104290; 24676675; 816185045; 62424546; -1; 142071216; 339240721; 274675403; 371099485; 122977464; 438906626; 670573018; 998736803; 462620569; -1; 699883118; 240165879; -1; 254511560; 499973633; 486183502; 937107785; 401601634; 535554692; 726110670; 674643304; -1; -1; -1; 188659697; -1; 65195275; 422123766; -1; -1; -1; 171516178; 343577782; 544830398; 687655815; -1; 536515253; -1; 944220386; -1; 759349563; -1; 180332445; -1; 840984375; 874000320; -1; -1; 358844221; 89613038; -1; 511887264; 218400731; 317424120; -1; -1; 543347648; 714627699; 344079976; 326007154; 855722465; -1; 26560565; 791691610; 67723163; 961477706; -1; -1; -1; 884437927; 203085180; 981567053; 452758585; 496090704; 81897472; 91116198; 592180624; 781176574; -1; -1; 599242603; 644249683; 122124860; 235886856; 459395558; 928403296; 802367041; -1; -1; 216708907; -1; 176252017; 524207216; 530022790; 267048147; 216765894; -1; 965333952; -1; 111814500; 585534743; 613548735; -1; -1; -1; 310308626; -1; 506464916; 259661592; -1; 439981881; -1; -1; 334659654; -1; -1; 889921673; -1; -1; 828510581; -1; 5589433; 979627346; -1; -1; 409937695; 532425846; 872856158; 135785546; 423324351; 378876922; 366469781; 84911600; -1; 739491044; -1; -1; 814660539; -1; 717878880; -1; 960832838; 772584877; -1; 501284656; 645793815; 15255143; -1; 445717690; -1; -1; 984089907; 245711811; 42617420; 347150616; 397394225; 431816918; -1; 892825346; 405546126; 359281855; 204751127; 531963556; 708323134; 150287311; 289044974; -1; 787015935; 391403870; 859383875; 134122027; 356722542; 953094126; 440359547; 265325875; -1; -1; 567994899; 323967945; -1; 86237785; -1; -1; 775164762; -1; -1; -1; -1; -1; 411458343; 956520451; 222635092; 582348803; -1; 533223340; -1; 602105383; -1; 145516465; 503740751; 50348185; 245079943; -1; 314950172; 546002013; -1; 153676407; 66391844; -1; 600043158; 914437327; 86149929; 735595434; 119903882; 912003836; 516560966; 635104294; 390563458; 205523946; 428732128; -1; -1; 382371101; 293477593; 333441083; -1; 9613669; 4847458; 171092340; -1; 281696220; 578920663; 631344907; 381823130; 3905249; -1; 730662522; 569243042; -1; 684872638; 482986130; 646458729; 328324900; 88901200; 15591661; -1; 172088971; 261347401; 230638778; -1; -1; 443499981; 739074501; 447317284; -1; 548268169; 631644325; 393561028; 703741611; 721784858; 19143644; 103039098; -1; 857703538; -1; -1; 71137049; 185837174; 968006360; -1; -1; 365980394; 549519837; 962394679; 900973064; -1; 74733562; -1; 83244636; 460403073; -1; -1; 955131412; 26244178; 957954087; 735897788; 404486336; 156664428; -1; -1; 398975309; 979095682; 950604748; 446773631; -1; 484704578; 122643202; 35235066; 987604964; 185024989; 871577900; -1; 320679022; 706867378; -1; 582659; 397494815; 149312206; 431679580; -1; 369083871; -1; -1; -1; 935688292; -1; 513267371; 744079303; -1; -1; -1; 533000668; -1; 63387227; 556126762; -1; 360528846; 830680308; -1; -1; 728640877; -1; -1; 714508878; 214674834; 789434320; 669680552; -1; -1; 123413294; 616679349; 125787882; 39513098; 409456399; 496726620; 192046373; 229099938; 321456119; -1; -1; -1; 303845091; 174963361; 459906742; 557298009; 468217250; 87901763; 196118444; 281305329; 570881237; 950233242; -1; 489051567; 819724526; 675524258; 456990505; 782161465; 3664744; 6556868; 984496870; -1; 334120062; 349288849; -1; 105864224; -1; 481509029; -1; 28524278; 541886696; 184890069; 790488966; -1; -1; 912547854; 407602740; 615067045; 451863148; -1; -1; 375556686; 208609639; 520857514; 437904809; 836127498; -1; 578001029; 25778999; 304638571; 88138675; 621884880; -1; -1; -1; -1; 366900210; 550667667; 682510831; 614686709; 694054485; 583896061; 21568991; -1; 486659449; -1; 211229130; 581748810; 537496748; 464316426; -1; 773387664; -1; -1; 199714730; 468370973; 439462359; -1; 653331566; -1; 341991415; 963504420; 855255198; 506813736; 695172514; 115609778; 653842705; 585398287; 270854017; 291964051; -1; 826393247; 625801088; 60418805; 296650053; 555433482; 731781417; 235608338; 910440832; 69680953; 635733268; 670723143; 547390498; 981168662; 961118445; 281973763; -1; 911844038; 335901588; -1; 545818656; 114449077; -1; 607553800; 81127901; -1; -1; -1; 802599860; 882174207; 190367443; 847401597; 537406001; 519089243; 723075866; 693503118; 713574498; 531671933; 249340120; -1; 512206881; 677106978; 453967875; 442900103; -1; -1; 300903609; 758248774; 610547603; 816387318; -1; 38015409; -1; 496296192; 158540024; 420298092; 613964775; 439819748; -1; 841623109; 17408935; 182709449; -1; 531256614; -1; -1; 374284134; -1; -1; 322121330; 941462913; 709976340; -1; 106041990; -1; -1; -1; 590374585; -1; 19915034; 956830625; -1; 830176206; 484139257; 925652244; -1; 755189363; -1; 702682858; 963350083; -1; 168165443; -1; -1; 995150540; -1; 853300689; 432816267; 117837484; 538587599; 809512227; 127888922; 306655787; 871217149; -1; 186356331; 313104000; 347515432; 983717787; 168973004; 135075276; 366001504; 592476484; 916010627; 699803990; -1; 358537572; -1; 42630062; 665831090; 411025633; 24144063; 362985273; 988174970; -1; 84452663; -1; -1; -1; 673184193; -1; 684872344; 211195733; 127807412; 447898130; -1; 916819261; -1; -1; 882340079; -1; 141586495; -1; 492942069; -1; -1; 291422994; 562325891; -1; 687275688; 686454891; -1; 654727926; 160198840; 432519218; 984360852; 49389805; -1; 180817437; 561215055; -1; 708571172; 680000139; 744744058; 837765563; 954557084; 128440476; 449064760; -1; -1; 100770137; 896393729; -1; 87893891; 281979497; 225165069; -1; 45661583; -1; 274810563; 794238716; -1; 788300737; 192710484; -1; 344036367; -1; 26562841; 972753065; -1; 599074134; -1; 782769158; 298937175; 58680634; -1; 44108623; 911950496; -1; -1; 863329832; -1; 381113157; 6657053; 797897692; -1; -1; 675546644; 11583049; 327829101; 242739963; 490120780; -1; 595387802; 83336656; -1; -1; 463473207; 34470281; 716137967; 601154372; 801631522; 989619849; -1; -1; 136683837; -1; 618985427; -1; -1; -1; 531286489; 193195849; 549287637; 46630995; 934013845; -1; 904031458; -1; 816107133; 928160353; 734998628; 118844850; -1; -1; 154266963; 616883052; 821035549; 564908115; 939912278; -1; 429765879; 745596352; 545435598; 527174382; 856394017; 938265959; 474045369; 695887675; 491700849; 512666082; 869306748; -1; -1; -1; 495862908; 748917766; -1; 111164705; -1; 905464370; 252168494; 542277546; -1; -1; 579155680; 300046226; 776008248; -1; 34155250; 831535756; 645336661; 257978926; -1; 166343443; 307106491; 230630354; 603525924; 67387134; 35329385; 503056214; 29825081; 879123508; 738868902; 589446848; 764625133; 406810181; -1; 949832971; 343941940; 900745588; 683112272; -1; 92919913; -1; 217212181; 590931465; 153855772; 434697572; -1; -1; -1; 131483391; 651832387; 601245024; 405796009; 828377788; 934633273; 153451716; 199753857; 70982921; 263103838; -1; -1; 759716439; -1; 948642572; 98807052; 714687460; -1; 449792275; 916281340; -1; -1; 405790214; -1; -1; -1; -1; 879100259; 255989261; 128222176; 623979869; 355547341; 241063647; 601717586; -1; 839000800; -1; 123179494; -1; 855107704; -1; 503402830; 515062484; 351752397; 529013701; 473352518; -1; 20136770; 289841897; 317495772; 965058809; -1; 917886911; 521693579; 142085475; 21330759; -1; 208952484; 784756754; 523277310; 949405659; 98167741; 149173171; 489324082; 264492230; -1; -1; -1; -1; 529517443; 124933161; 35216375; 9531916; 667297756; -1; -1; 100666499; 704058224; 687012310; 582753754; 369375700; -1; -1; 964230524; 964649474; -1; 187599150; 356787054; 951171660; 841971543; 367370128; 99477108; 586781658; 822124485; 652633988; -1; 143695277; 362059987; 326461939; 455546186; -1; 241289460; 443113574; 46905312; -1; -1; 300215600; -1; -1; -1; 751221357; 785641165; 412432574; 40078537; -1; 145284005; -1; -1; 657105560; 326106528; 140140597; 780348837; 194902880; -1; 153730172; -1; 933197208; -1; 708103792; 875319829; 150287521; 141096426; 30011945; -1; -1; 79737485; 965705700; 784199869; 251336217; 102949818; -1; -1; 515328206; -1; 630601099; 25449521; 837306652; 444057010; 297344770; 145515750; 184294356; 431351200; 331705633; -1; -1; 597560931; -1; 824530268; 890478917; 786695289; -1; 412061532; -1; 603965058; 387760649; 107825395; 50612900; -1; -1; 725870430; 919179483; 154274216; 511138686; 497923965; 633343578; 850527177; 840855221; 254395188; 58169073; -1; -1; 951528771; -1; 397769547; 622761040; 651558913; 829382691; 588329449; 251585568; -1; 477402421; 477674352; -1; 390874766; 273559121; 771056358; -1; 555795565; -1; 768721461; 354900930; 976153232; 333939036; 525731118; 936402908; 502754956; 224382832; 234560251; 881211620; 931022493; -1; 185707486; -1; 518228417; 733997470; 529153774; 36064967; -1; 79899511; -1; 378238816; -1; 997740904; 499999316; 464287229; -1; 812523071; 473729986; 802675801; 537527779; 5906010; 159361571; 642904521; 976281127; 755746528; 863553774; 631355870; 749045500; 988477530; -1; 749685816; -1; 831629497; 477163814; 949897386; -1; 262502257; 172159167; 720397206; -1; 988825971; -1; 557804075; 30930831; 591063688; 81365879; 682505447; 639910995; 920596423; 826951488; -1; 83879885; 629430593; 189604307; -1; -1; 689436563; 56317744; 70498395; -1; -1; -1; 37560803; 543166094; 855097412; 788908560; 596101033; -1; -1; 319658069; 537853070; -1; 444208417; 627405131; -1; -1; 90087550; 861753994; 702537845; 964862390; -1; 281861024; -1; -1; 413422096; -1; 429301451; 858493110; 58376995; -1; 119625845; 329282108; 751957923; 440863178; 719421367; 126004714; -1; -1; 52193624; -1; 960194156; 88697038; 951589446; 389794356; -1; 625647990; -1; 812934070; 903146843; -1; 273727005; 369871156; 156357977; 497397803; 657511664; -1; 457101167; 757955242; 245718957; 719838856; -1; -1; 282271652; 424382589; 392635698; 552714447; 723312175; -1; 838929320; 683878137; 157562114; -1; 213232515; 153311718; -1; 684975023; 865687484; -1; 482309636; 562595788; 683668360; 38908354; 862877730; -1; 555883269; 812325236; 586371718; -1; 937608534; 561443419; 97445146; 447548634; -1; 216398663; -1; 607502108; 824770171; -1; 163898957; 314235355; 498311088; -1; -1; 164808489; 591498396; -1; -1; 821765446; 127976711; -1; -1; 757915170; 888438277; -1; -1; -1; -1; 722901277; 589064422; 305501782; 582079417; 897873569; -1; 723518967; -1; -1; 967919502; 662410711; 406090800; 733123110; 130590639; 435654035; -1; 83278304; 887411367; -1; 699348970; 550907030; 279025075; 871211796; 491619211; 753812520; 530936843; -1; 442555091; 904997522; 632457373; 917675058; -1; 955194713; 556119443; 919685530; -1; 827937463; 193637280; 338852854; -1; 734930500; -1; 828147989; 924162126; -1; 873433630; 299296524; -1; 927042796; 914214302; -1; -1; 605165013; 243182180; 99737655; -1; 963562891; 649635907; 407045996; 160132011; -1; 586000440; -1; 991732580; 737740049; -1; 747594805; 27215281; -1; 691724773; -1; 205531895; 943073770; 626169278; -1; 588215654; 476724486; 326354046; 698497583; -1; 591892126; -1; -1; -1; 881961516; 819410268; 187090201; 654292262; -1; -1; 772134430; -1; 477220991; 53603466; 650014381; -1; 899609886; 363453318; 725829861; 305755593; -1; 997262867; 725109347; 77314305; 346897330; 774098288; 396309923; 225984639; 12153802; 595733771; 927916791; 821808898; 212920939; -1; -1; 208053492; -1; -1; -1; 565727347; 39528512; 272836969; 919654719; 342142115; -1; 946136726; 575906288; 680029691; 301607323; 626044005; 51887842; -1; 941164959; -1; 795360312; -1; 581616670; 261271824; -1; -1; 756803081; -1; -1; 639804661; 470290706; 498197286; -1; -1; 452863544; -1; -1; 535004488; 776256953; 979644041; 777304722; -1; 418076147; 264168973; 527504676; 131016829; 937269908; 215128633; 678502308; 763385882; 767413312; 891639388; 446860600; -1; -1; 817751920; -1; 659836308; 120165598; 257402938; -1; -1; -1; 138754271; 78557538; 607454116; -1; -1; 608630795; -1; -1; -1; 321871597; 16040018; 855477534; 532621401; -1; -1; 928028080; 693058492; 696987918; 425930123; 810142816; -1; 206222534; -1; 412035000; 358376371; 543602420; 791226001; 133906212; -1; 560831753; 189725529; 599334084; 946385300; -1; 218597297; -1; -1; -1; 961478059; 551131528; -1; 222478883; 31089633; 111950354; -1; -1; 654783878; -1; -1; 524434192; 836121917; 434095708; 764086640; -1; 760904055; -1; 365325195; 691926904; 33414740; 425023906; 162815961; 194790027; 792992891; -1; -1; 76019836; 895747346; -1; 895553069; 941505751; 389767008; 978909237; 632469207; 643811539; -1; -1; 199472616; 484750289; 83560991; 362470756; 451698720; 382342015; -1; 330099851; -1; 175735915; 929166998; 437880889; 101482275; 149277798; -1; 351467663; 668606345; -1; 989250256; 804949180; -1; 516509998; -1; -1; 403663408; -1; 130309; 877248241; 151480566; -1; -1; 531913782; -1; 790172747; 223038450; 854043571; 51757157; 799528373; -1; 220900930; -1; 358657400; -1; 876411163; 603227536; 666655899; -1; 74131790; 146673763; 689958652; -1; 429966308; 706542888; 10133644; -1; -1; 353528166; 794672979; 559942136; 730080975; -1; 300693108; 644111768; 667138902; 702589093; -1; -1; 741330543; 290343884; -1; 844183872; -1; 279789064; 576872084; 58962406; 500713789; 352508726; -1; -1; 836527839; -1; -1; 569872013; -1; 910258272; 818270354; -1; 770631755; 741732346; 843129894; 888474397; 426322333; 897504170; 848843077; 260209056; 287118345; 306347857; 331278287; 718407558; -1; -1; -1; 333604446; 695036390; 798080582; -1; 610878426; 383198878; -1; 269175481; 346000178; -1; 865150707; 811226396; -1; -1; 420088092; 985707162; -1; 153555774; 476075881; 25659145; 22002903; 483375729; -1; 145246646; -1; -1; -1; 520278027; 718423765; 504594224; 704129226; 533396130; 160210731; 25599688; 732310910; 170784231; 9607772; 175046908; 474277509; 379823783; 409968528; -1; 901889749; -1; -1; 151193551; 124991504; -1; 265011182; 411814846; 813863509; 775431071; -1; 103035971; 417686727; 859277858; 708566836; 245403572; 40536423; 685740334; 273921418; 816891066; -1; 930084155; 220615950; 447199806; -1; 947791138; 176091715; -1; 803257335; -1; 197543755; -1; 787113453; 35961451; -1; -1; -1; 99149359; -1; 134437424; -1; 369067131; -1; 453556992; 733716910; -1; 722188699; 504791600; -1; 120989555; 255915129; 476188729; 797005909; 471589938; 652227000; 511634571; 471059822; 833151507; 800441123; 876765179; 993848857; -1; 135489739; 734083913; 110175245; -1; 658553341; 804694477; 359569991; -1; 728931348; 699017559; 566739031; 839970442; 559130478; -1; -1; -1; 975779571; -1; 144372547; -1; 667620457; 651828571; 12585860; 461256515; 160912524; 49971446; -1; -1; 535410871; 288193074; 895948741; -1; -1; 814923688; -1; 568852996; -1; -1; 173690226; 88525558; -1; 700047261; 802854697; -1; 378956626; 89710084; -1; 9132731; 423147363; 613188231; -1; 542622342; -1; 950872470; 726807652; 19230590; 747732053; 993654932; 777888470; -1; 315471164; -1; 422481930; -1; -1; 834120979; -1; 819604890; -1; 473814283; 282339877; 328073993; 27121412; 60467061; 128881292; 504863828; 694496924; -1; 37289511; 248107920; 288985228; -1; -1; -1; 242110252; -1; 469326884; 253673118; 882118591; 394595885; -1; 100179474; 915727635; 493540371; 975424420; 38542146; 894459234; 557233408; 488669010; 616072775; 774354487; 106200104; 929890025; 715610040; 467688743; 780212092; 628660088; 865487460; 188634387; 260229479; 472584719; -1; -1; 15653272; 270492916; 862718694; 81423384; 874286069; 915260474; -1; 170363978; 418735066; 161040828; 107283402; 273148567; -1; 154932751; -1; 200246639; 511964006; 133853687; 721135609; 512775387; 854830048; 400627827; 657004929; 461297147; -1; 992040405; 887398328; -1; 993801944; 918187637; 881105663; 66955959; -1; 99068644; 665307121; 12560234; 598068844; -1; 797638302; 703442695; 872737223; 405890377; 473255226; 357264056; 496102275; 874209413; -1; -1; 55574455; 874713900; -1; -1; -1; 430164318; 654709920; 551074075; -1; 298282430; -1; -1; 635396328; -1; 223327622; 965150345; 118799643; 713500354; 775829747; 196059660; 346875711; 402738874; 282291825; -1; -1; -1; 647736634; 761168978; 277194227; 262096823; 651508123; -1; 719799072; -1; -1; 144006583; 262609672; 288850235; 749665376; -1; -1; 601124167; -1; 687303194; 771235809; 61881468; -1; 647187419; 607917253; 297075949; 166675199; -1; 738250190; 807567235; 329383974; -1; -1; 407429760; 749101175; -1; 932916296; -1; -1; 431541605; -1; 246986889; 953017355; 113916638; -1; 101712742; 467544706; -1; 596725593; 977774655; -1; 715663624; 152329348; 559242642; -1; 430439884; 468046789; 527505976; -1; 56566525; -1; 12817488; -1; -1; 529796566; 615445347; 303387860; 221981788; 591683238; 874478008; 723576620; -1; 390935130; 614433020; 834124830; -1; -1; 49366485; 45804092; 172515347; -1; 459113381; 622537834; 277107264; -1; -1; 991149850; 943623942; 68210979; -1; 164062465; 346551275; 129326274; 262980253; -1; 779793800; 162036674; 203332636; 108757748; -1; 483319694; 108047997; -1; 157462784; 533660394; 357296142; 428432779; 845322672; 667191161; -1; 368003970; 836942860; 470930087; -1; -1; -1; 831882947; -1; 504461182; -1; -1; 898273644; 987477905; -1; -1; 990383953; 902379917; 733141892; 554371343; -1; 200950157; -1; 836930544; -1; 97795807; 182910930; -1; -1; 955789234; 70476334; 780957687; 69097202; 487416859; 73261249; 142244121; 559533586; 940821585; 362226420; 309786069; 383528516; 801326880; -1; 483225737; 383674940; -1; 659519937; 696512193; 210152372; -1; 270949698; 583573208; -1; 636843769; -1; 807235086; 163371990; 293925764; 597362342; 645380786; 530622049; 571160607; 116490132; 124228642; 820136020; 967256606; -1; 801988502; 543727498; -1; 217679371; -1; 895234391; 413732152; -1; 939163734; -1; 415630925; 579408235; 296399471; 479124596; 669044827; 3529528; -1; 670865289; 988101381; 510325052; -1; 515823372; 866547539; 39390516; 188145894; -1; 980732282; 317611782; 413118283; 284690288; 991721244; 981520141; 937088302; -1; -1; 257073701; 86886183; 426295428; 885165186; 261017128; 581520144; -1; 269569778; 735655878; 66762536; 160448398; 519874079; 467912798; -1; -1; -1; 33699624; -1; 40515441; 78032469; 659209030]) + + + (* Grouping test cases *) + let suite = "Test Suite for minDifference" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + "test8" >:: test8; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimize_the_maximum_adjacent_element_difference/scala_tests/MySuite.scala b/minimize_the_maximum_adjacent_element_difference/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..9c6adcabccc264b0df02f178bbc8890000b2515b --- /dev/null +++ b/minimize_the_maximum_adjacent_element_difference/scala_tests/MySuite.scala @@ -0,0 +1,36 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minDifference(List(1,2,-1,10,8)), 4) + } + + test("test2") { + assertEquals(Main.minDifference(List(-1,-1,-1)), 0) + } + + test("test3") { + assertEquals(Main.minDifference(List(-1,10,-1,8)), 1) + } + + test("test4") { + assertEquals(Main.minDifference(155852482,-1,205273984,-1,352105079,-1,676990998,220355245,630119173,785033767,-1,-1,471165589,-1,406639560,321537742,155323266,480347933,202550498,355931798,113652451,641365132,610075689,269920662,501280382,488679666,895630264,738627016,-1,-1,511758035,880391577,257430200,343985332,800390763,-1,42135243,36821987,176406672,95853787,-1,-1,8909509,458364994,957068491,-1,404556539,318302340,859359943,874074948,405885881,46541070,-1,284715633,412682964,726503190,-1,576571795,663934262,141937862,567542064,-1,24938269,617797441,805372891,825825392,685085352,776648405,-1,126426801,253655918,133137312,161651910,649986976,-1,-1,93101424,-1,289138065,9385552,48135410,450907272,3602831,944279429,-1,696375923,918845419,409799339,-1,-1,696979921,270949192,717981256,-1,-1,431294182,681333088,929565541,574715368,-1,-1,720691769,142662666,-1,812798723,88113306,751224517,-1,778112862,178785814,405686943,-1,496682258,921247338,548982676,986124436,-1,-1,3902300,942668248,958610270,912781918,990695702,199416203,572461540,848393460,-1,37511148,6652022,399349486,58465154,496215626,774338871,215651417,224315967,-1,591816003,-1,-1,182754769,-1,-1,658941988,-1,971441704,232824930,406783410,421133944,720174809,-1,-1,31662928,115229020,742073631,811699720,-1,73436407,-1,983026508,988769379,520375829,821093640,594064875,915985366,207768962,-1,971282877,-1,900781515,585333637,787382313,429817521,771287682,880291078,688892978,-1,-1,-1,-1,859283457,222128351,364885003,435520334,815652824,-1,319838497,-1,425757766,-1,-1,-1,977672551,398319389,-1,84781521,772431493,29830095,-1,-1,-1,321132968,11320604,908744256,827969051,546151071,930088374,48831052,773259590,225287223,-1,-1,922880297,553350124,625040268,810559065,316633489,894499989,517670845,87293421,-1,521352115,679580398,-1,717094256,-1,93976134,-1,689596023,66136104,740032670,430762910,-1,734230232,342552162,119016340,56433536,268138471,656896371,-1,593722246,410411187,887803037,-1,391734163,-1,33623170,171684407,167694917,285326594,822125946,318465929,729528987,904614376,916787595,728930953,708056130,948039852,212623405,-1,223107308,33105011,142126101,7672132,483139132,565312793,759530661,549040456,494806901,-1,498729985,990520896,993439088,699880482,352469729,487015943,-1,-1,509904293,-1,948914883,108920271,428115524,380919699,-1,244673908,730549119,-1,161149241,612601171,-1,-1,215049745,-1,-1,-1,-1,-1,-1,-1,958231329,571768233,177862505,10287055,314050111,686300880,-1,94899478,769023174,-1,159509549,-1,-1,874121864,-1,-1,365439729,979448867,-1,-1,116253046,522018890,543430943,1865908,69832866,83749299,962751146,832834300,167533678,526896041,166527046,564077097,19945233,32004883,-1,328676235,718280422,140091181,201029828,957648306,242607131,673508988,185631722,381929241,200923792,-1,-1,271863060,769871012,-1,209774757,141901207,329095055,426185971,19314230,664090958,543559637,662441217,363931338,411375537,821219956,-1,770479510,-1,-1,-1,943664322,-1,85194413,176960003,786919819,88848426,235573868,965431029,907043129,89434121,947839913,-1,871641813,269479873,404189289,160375893,533147147,-1,474191732,924973249,190500483,-1,212118598,223326458,327063792,774049208,848531705,744317651,291833587,717000027,366572542,214108692,10243278,235352168,7626950,498939354,901414913,-1,-1,-1,57354594,651933766,445785275,477883910,129530288,582302462,632126838,645091953,93514383,-1,751512463,301109224,437622477,-1,562523619,-1,418672187,-1,673887953,-1,102638054,-1,-1,-1,935645785,991978633,383125188,-1,208644441,455809352,381566212,743570052,553116186,830545471,330779499,779752893,635958149,237272525,-1,637182667,689694391,520469623,273556511,779187614,77559217,-1,-1,436369079,919468009,-1,195836694,410078551,-1,-1,602386903,453562562,-1,769038879,-1,544177569,596140322,-1,369901974,-1,240796826,929856071,-1,-1,753663824,413601801,153854096,374781060,-1,-1,349296114,-1,861118843,277213480,212093756,706141252,634911862,-1,-1,505606741,-1,753461459,778758739,-1,188899174,577114015,-1,789507997,315816965,-1,488917567,-1,247269351,765448141,324910519,-1,816059538,721171924,-1,263079827,-1,691187622,-1,831247297,-1,-1,592235746,766074930,412456344,-1,95356163,253434738,-1,498012037,-1,44040051,839337170,936107768,677728945,-1,267430005,-1,-1,490719431,195013888,272189663,-1,232668011,49421382,-1,248631615,52442254,968565700,-1,842312375,745246894,-1,555287586,433399849,336941313,105507622,-1,-1,552432863,781026942,202872915,754356231,-1,594598863,448142304,-1,-1,18338469,-1,915389860,-1,-1,29595103,324290848,400086012,805278917,485959405,-1,-1,109482921,800461595,-1,-1,-1,630615106,555071350,220165763,537295764,982622369,292876522,696585768,26819707,805414558,-1,241344392,83782803,338113709,984501009,476241541,245933479,523874938,729031335,361157157,440489994,659027497,976839028,960455459,782867548,-1,131198977,-1,86925666,265274346,872819712,89952999,220182034,239900540,-1,-1,-1,229861974,-1,-1,86756452,-1,-1,-1,892817126,329148111,402166393,-1,765828782,454855132,168936416,-1,-1,383028030,-1,-1,-1,224331523,544233442,933521367,365747926,66358914,-1,500909286,768406162,290088435,-1,768143366,942068163,-1,-1,390052519,502434692,171124209,857691442,197105202,499764248,-1,608549766,760237481,6453876,573760655,770949923,-1,13345847,536422792,-1,589351520,-1,631511999,222064300,-1,520388117,172438687,-1,698839739,565340302,635800614,544340543,-1,642969769,72491371,637440297,-1,595556528,-1,-1,665275247,812966976,-1,878308258,-1,63804310,17873710,-1,-1,498191761,11836145,819752722,738454376,602573624,815510453,969479102,-1,850426938,484701434,472576976,705854638,170316309,97281857,507388762,207976139,533262786,-1,308257241,630310899,395488545,-1,911275602,669054743,-1,63036857,-1,-1,566397313,437600868,804322944,471134555,-1,355600451,389250280,532728143,-1,-1,-1,-1,494381316,414146244,780155046,93765229,340242420,725440447,139397114,-1,-1,34756008,706022679,-1,209209451,684455099,-1,209874822,-1,147889351,513854782,127279807,759411958,974972346,110927087,365289219,622728237,585186704,791894281,89873235,665332964,-1,970664790,-1,444779384,387132788,-1,607142426,-1,980566709,162057494,-1,78739608,654678277,353110466,-1,-1,410518308,374359689,-1,558256715,-1,-1,663042608,-1,997269334,-1,629510502,124528685,-1,474505381,-1,-1,568999772,912056229,535271624,-1,669091312,877517148,104987929,87461788,275420166,19086011,156373761,835131934,831243861,652656981,123460124,227092646,847384923,-1,9866199,962642198,-1,898900534,712291594,267190182,687541391,48612456,308621316,-1,874726080,943302433,93440026,269754923,-1,-1,91897044,-1,472369872,996657637,-1,652471265,393314675,197347187,-1,26931867,895164586,-1,651998511,-1,655187098,-1,-1,-1,161941748,399914124,405878466,728929569,496053308,-1,496196161,857845466,636628849,-1,266371654,186047677,858186157,767619861,926062567,428132826,-1,528065731,-1,15409167,257943787,617551450,870857520,36413167,139855796,-1,70640707,-1,915290013,-1,176721226,626637110,127638234,29260240,-1,905371497,24569986,178464793,-1,-1,710908763,26348624,784596790,-1,-1,-1,840593890,398469595,883648431,-1,860663365,1165443,98479313,675174824,397480348,-1,71822596,-1,489053873,-1,379738941,108677558,-1,-1,17002615,831674286,-1,-1,279461982,998408411,774502570,-1,893607932,65080823,-1,163866954,-1,19981737,416743296,194215675,122909798,478448305,717889049,526261582,127154664,438777398,359940456,-1,910753099,-1,581993442,276928708,807629922,-1,-1,-1,-1,-1,-1,270263174,-1,-1,986286645,-1,-1,592924957,695907093,596874487,121296760,451903182,-1,-1,-1,818949098,421730078,864284308,-1,561127798,612159094,764409793,-1,801633037,135587801,791589276,701611567,547556985,909993384,713580753,-1,543389097,966895619,891485039,-1,794227237,-1,432672627,-1,201428717,869988717,847363908,586362023,314205494,588323024,462177744,669609452,929799977,390552478,-1,984751521,484192684,998168746,-1,951581843,163950817,597655713,286785543,-1,716814617,213097186,236733190,393315503,283087448,863691741,13768029,792384354,-1,991412471,234223520,348940542,239717011,818593652,-1,-1,5695581,584943112,-1,246072530,111780362,597541527,758726853,248777227,296372836,943453377,865969914,848185435,730332050,949855934,849633150,-1,-1,178576570,580952275,426361625,-1,621492192,-1,822859681,93292626,525434760,697609409,861968047,411852188,419341243,81032438,214514305,-1,-1,675760013,-1,68685008,858603600,-1,936051069,886278398,6238896,531892929,-1,81818231,972726287,966017297,-1,252436211,-1,527180635,696676738,-1,949502088,-1,501793971,508556641,144717404,45781564,54379575,141417807,473350364,285343388,80117662,-1,-1,937448826,527052977,304652105,679331513,81058301,-1,866000260,-1,948868386,331641377,-1,323796468,610320545,433979216,203941326,34396444,282684306,853294153,11521547,617964908,44620667,364054933,182482877,987470593,4266914,659387675,607730846,118933425,-1,-1,438410278,47115188,-1,-1,102943518,254132383,343962284,426613373,21782075,-1,186923987,770305993,-1,470115757,914229857,900011773,700640248,706697219,-1,691813428,317374610,174036199,-1,972223311,8197149,779280915,155051339,956528327,996621130,-1,164521505,-1,735667962,-1,-1,113315267,973903555,140275706,232355190,-1,-1,441807981,229927280,499456794,175731118,-1,171434219,484611813,50685925,968133286,343153466,632779074,104170376,-1,159455691,129854629,713665994,-1,362600332,802198067,-1,901124304,-1,601042969,730212492,282591301,-1,771846461,387730401,-1,771430147,575463992,984682670,-1,456591668,-1,560500667,972234715,450383816,180330194,-1,739005220,30434976,948417366,723640685,985687452,-1,982046359,-1,836707566,719287821,587742505,943977916,493742281,660065843,5575539,331057415,57996060,30768574,-1,877145733,846195062,230582330,252612333,761940057,-1,607502391,35543049,815696933,601067376,44374179,759148719,-1,-1,756518312,-1,-1,-1,284776568,307873660,-1,-1,-1,610089270,-1,-1,-1,488913727,939141078,289289847,172259987,-1,509793787,786453141,-1,-1,987535408,56346989,823221559,-1,743508522,961618761,-1,-1,21752719,999018228,473273777,-1,39285159,741734834,198096226,183402306,205482700,593778052,588522235,-1,10470480,-1,276485585,470088237,266305032,245963342,-1,899953027,-1,328500704,716601365,-1,-1,556182224,533423778,717457973,383503360,941588964,-1,-1,730217698,783445059,253298054,751125224,-1,-1,557196195,621667328,379427599,-1,791955793,-1,767606458,819220125,-1,739109992,7044563,-1,111205679,-1,-1,895929648,179906368,413478791,-1,-1,872777569,-1,-1,-1,-1,-1,67064885,230961986,268475367,819140724,180823946,468916229,-1,663587333,972454822,-1,66232371,379785634,585610123,233457324,369712845,445795506,-1,-1,137317029,-1,212259000,691693250,-1,74648910,313424240,598635797,867958308,931748562,638174086,363779574,-1,-1,576832034,790627754,163449226,501580886,-1,-1,397799427,171913627,34795484,109381712,753453229,-1,421847874,9402727,669572652,812020174,182214697,736298061,750981916,-1,93775703,787022624,472456458,-1,-1,560985060,-1,-1,613741678,-1,671804770,21523146,963814190,875962979,-1,782488929,91584694,991391888,-1,-1,-1,870053037,373501812,825317370,-1,-1,-1,-1,322116947,505807018,746391364,-1,576681881,2251309,-1,705925248,57275518,-1,822118862,486634669,933386083,113554943,454431518,168987635,956221655,215470310,75890158,-1,429724573,809541639,-1,-1,-1,-1,927381449,818293439,997255894,-1,-1,-1,-1,-1,49829444,302234223,931137721,476490970,-1,119139285,-1,458588555,743060457,273655292,-1,685244186,819812548,-1,-1,225582190,750074705,-1,-1,943459749,350694600,358529687,350675432,390144670,327225073,55606518,182429423,624422017,356797874,-1,-1,688824860,-1,12635989,694190529,49027464,-1,337499634,-1,571538041,85658754,-1,596481113,354695190,414709615,456042981,872618295,909530040,-1,-1,-1,249125284,940894252,-1,708883161,75402180,399152729,899617969,-1,-1,570922789,903966708,345797098,-1,-1,-1,860169002,715851260,946270387,898497596,705513148,-1,867741956,902610070,500800476,706765709,-1,-1,793433663,3796130,675119956,941825674,215253254,824961,675445922,82158812,-1,706648372,506533052,14259595,606220511,-1,-1,-1,-1,827524040,795693044,-1,-1,575856371,331168848,146892833,219070299,911167505,218547042,-1,896291430,478930101,580960190,419504857,998254168,557534048,-1,271178357,843837533,252154665,549449596,-1,869964526,388146185,632752039,-1,-1,517029543,3680897,446952337,646386810,920245298,-1,-1,-1,950994745,-1,-1,-1,434505353,186801161,-1,363899051,-1,174678291,426937643,715716690,712984839,518743681,-1,155693107,-1,-1,-1,198075428,739787386,388740916,517905558,708819351,485771234,187930611,84333685,484019785,-1,-1,866036371,478258583,994502752,749241153,359882171,774958950,205278305,241103658,70035291,-1,-1,68831592,942220512,-1,-1,347102073,443312625,810857460,298788103,-1,401030214,-1,384316216,10298123,88471077,499559713,797821339,-1,825744917,-1,834950604,453687078,757631231,327028413,294335107,905044796,603705597,710597339,-1,685101555,448662725,-1,-1,179168541,222336722,839029448,268753547,586858661,667301170,419008941,-1,26596319,6212034,-1,-1,-1,132674575,-1,528907829,644574118,147391754,943362536,-1,-1,865199073,135589768,317021314,326862886,725291621,-1,310808129,959367291,846318099,-1,279942469,778730056,-1,582205885,66572822,241185129,614073048,767293947,436028767,509755386,526338077,822354448,-1,159105572,-1,-1,484246300,-1,-1,814203662,227244,-1,96480264,493517259,-1,975191849,806758432,587106308,399556808,655156621,748065795,-1,864108844,129615040,-1,-1,-1,811133230,-1,385429102,344792554,-1,817908309,953453830,-1,477944089,-1,788059334,20113808,-1,343885461,53183325,-1,632293089,987357034,586851285,321717633,659200760,408837080,980737827,886236787,744561534,401478848,-1,-1,982270079,37922036,752335873,-1,-1,187863690,189149832,926177671,-1,201730988,105110202,-1,249378570,656890314,284574263,553353925,-1,158522345,672853425,-1,326528074,-1,-1,54234820,-1,-1,-1,869363692,86368639,-1,-1,929737761,320666451,667737141,303812377,-1,454854662,161058915,210567996,197323011,629895759,57100607,933040783,-1,655142746,325824634,408835563,961978525,-1,829380018,425084262,369949749,654685885,145203242,262598582,12186226,825448219,-1,-1,927446457,906189960,-1,102023173,-1,900118728,-1,-1,721445384,700451191,899353173,-1,841602184,846857980,55592211,-1,-1,303812041,-1,194055572,787617858,613014152,-1,877314704,-1,428576461,-1,19948185,400052048,868320868,-1,195923193,-1,728510028,-1,614357141,-1,707025247,-1,-1,668841896,868500787,-1,298781347,290085639,-1,943483590,-1,90457320,50755222,-1,843544597,-1,977986568,3574030,615294446,-1,972099978,434745856,-1,762433713,600178211,465403863,-1,847666175,984412080,594294161,-1,750761505,-1,474831281,-1,-1,-1,956525365,-1,77490841,-1,290888866,934603375,-1,863161934,360160336,151482550,99919941,534072607,89952823,899066621,703987549,267775415,-1,952708981,-1,-1,650508668,645222656,448443534,629216295,270095402,645146781,816471005,690590416,179833645,-1,708707770,-1,276475477,358002211,999812301,662802782,219229960,150286470,-1,-1,963222472,281132979,-1,946927255,785345218,779712601,-1,782444951,-1,-1,-1,431378349,260123348,321857551,122712837,482614605,55706949,849007973,816473482,-1,-1,209990034,-1,-1,282186728,140874875,544052919,716646737,505772140,582342522,858483933,921187764,481169140,105246661,198619839,473816610,547728425,27722567,52425973,-1,404671133,173629915,410992808,-1,-1,164662162,-1,-1,178623411,150730141,856411458,83829555,170141470,-1,577025699,52329559,-1,985930073,648309260,-1,343610758,646203030,-1,-1,-1,875726018,-1,293872790,-1,-1,567545468,48009937,-1,667682772,5174755,791975231,236855497,207504678,468517963,925358864,12119925,230282982,733608513,888802144,260034760,-1,111172631,991534058,525972210,532342981,185891767,-1,-1,-1,667207996,-1,147303219,498019640,694109240,390839125,705064993,-1,689255677,532152719,-1,536194621,779691377,-1,-1,-1,603049307,676171507,213339600,573127823,986477849,169246231,384661924,608615189,268430231,155606963,-1,787253656,342505083,213544975,450123929,877341137,459217104,636759655,384315820,398606876,419353207,91521365,28287460,-1,-1,746854055,15028489,454299287,475032239,457548371,692926465,-1,-1,-1,974859214,-1,-1,82564084,291760001,400673792,-1,926457622,117243208,-1,58727767,-1,-1,-1,659469549,333915382,852174652,605183804,599873396,345618167,730157913,675333468,571623284,996400286,351327602,-1,-1,-1,-1,-1,-1,190855627,-1,-1,237274798,470173095,-1,93762238,16422966,194556749,747385196,456600316,534013789,962221115,461874863,879259395,275130967,864076738,-1,920877005,148338171,668744482,574013487,-1,112252553,327405628,772631758,734325537,782666888,196533193,-1,186396840,-1,104810381,677681551,899574696,845334583,-1,526617207,-1,622385471,-1,922045574,721645223,-1,357712269,884737976,302433675,661039752,67048018,-1,87838669,48831857,592183323,-1,296755907,297967783,386844583,-1,691149661,643497475,101981767,59667753,-1,-1,871985410,254442913,-1,-1,385287686,863496907,316337325,986877580,116729615,107359391,-1,723168468,-1,443398844,341314541,934664041,-1,20290078,685567578,-1,87270525,962902564,497542774,754705669,51511229,219592717,-1,-1,377393586,757763376,582763586,-1,975428445,-1,803077942,341764299,155997533,614483303,734354651,-1,875882700,199862303,657790428,-1,585329084,201487912,974216165,31433967,51989574,-1,873000222,348958833,850927162,818345800,181530769,-1,920547641,-1,126417918,684234475,84147339,347921497,-1,-1,-1,89321920,592082615,982040408,-1,263772749,796224862,895537959,991636148,641265719,119474506,783463909,806466133,202796708,557137725,-1,-1,986787664,653892683,520151029,302111394,351728934,607855978,353385776,444394391,293573902,-1,750299999,749336266,611865359,859854796,-1,757582703,-1,-1,693480278,800368278,651545615,152880443,593954922,-1,525829248,557643749,-1,701775724,636324911,966224294,955383799,404518699,662893625,-1,963156504,955478729,445574103,515752330,760280516,998909745,-1,-1,343351663,196639494,237979921,445803828,943451861,-1,-1,350793857,181965102,448153858,179204385,837373161,409617676,74281943,168829659,778791797,658978767,311393182,233988419,-1,-1,390451082,494800763,686998642,225348267,698292273,958966203,257716151,503790697,485763862,423107521,545156339,377403794,421252195,-1,133106467,126442183,301689689,976575324,38949300,474111350,696154783,690470198,191774853,420369741,889528149,506792138,145587378,325146236,-1,797150628,-1,-1,70290626,115633693,-1,785802716,970565184,-1,929797875,479128505,-1,730354402,74714551,-1,472315991,648998846,566732730,-1,910931915,717768579,944692694,305124658,-1,976175275,479428457,17229998,22587454,-1,39627846,796254345,2098375,387691783,854438942,545933989,165642242,-1,-1,15868166,215035071,-1,73822224,-1,928192175,987642691,806489424,-1,921502779,718044293,411129214,-1,332427705,-1,-1,58627340,-1,51831366,-1,59299185,-1,-1,670747217,-1,751127357,-1,416673999,443873383,170302423,897651540,-1,666999134,80683290,-1,369953688,447376808,757776844,986529608,681118319,459009291,619214121,961443042,352348136,-1,164991552,976615845,203357597,825945508,531057043,528630033,706266452,-1,497215916,463217491,594661074,-1,677333035,993796002,792859157,967201645,754981536,580920144,697813363,-1,901598876,702059150,123428933,836897645,-1,-1,638225329,-1,333087601,647138011,169111289,619389442,225508202,131115737,478914647,-1,-1,581096259,205445332,875474053,936300953,156949892,-1,885028654,136275060,-1,567327733,126647098,220314160,-1,-1,489531057,761881815,122465455,-1,91454611,575287008,7605661,478631255,353843132,594490103,919684138,454809255,556539992,733437292,757660739,877735161,256169037,506427272,478329027,624150617,182537410,178214841,-1,-1,737618848,470223268,769796315,-1,-1,953363665,55337974,-1,-1,-1,971708889,279174594,612693456,171809240,332547004,-1,554633436,-1,93571352,-1,-1,674993716,-1,-1,-1,580911009,582913898,704713524,-1,450132476,739576486,-1,838067988,851810572,-1,881166934,252943003,763794356,956206881,288335165,836441784,367170772,914457764,701950221,-1,-1,688446992,-1,-1,-1,126913347,160920255,465993118,-1,-1,989378150,855360003,916745962,858172582,-1,927220881,-1,676539560,817070902,-1,-1,335776582,30810369,924281722,813510850,378079462,-1,144865229,-1,-1,-1,719279360,797746640,-1,520148068,89492597,-1,-1,54711529,906443050,-1,-1,-1,231797133,662762666,474691194,635059699,-1,684708424,-1,-1,-1,537492455,64626207,256406186,778052186,901622006,842162757,486836423,-1,912604177,88010103,781504425,50714628,109699641,720788126,640736522,786003389,937746918,195531475,491269667,-1,966988496,318141365,-1,672331304,-1,-1,-1,490021643,589481978,-1,-1,301530522,952453430,459552432,-1,-1,351441863,391922551,490889245,924136571,959894342,-1,-1,839942865,-1,613699413,-1,879696657,-1,365782381,-1,826485913,122185390,47021885,928616464,656058047,996766446,360071955,-1,653966069,521684301,-1,684944018,789450112,-1,-1,328187984,415290167,923148055,388281677,158574347,289387694,3575220,993336421,697755391,52141026,667577035,989340238,925879140,300112474,315551382,-1,711418145,341971521,102382475,-1,-1,-1,694551868,-1,92832301,-1,23269526,793274547,863050666,-1,-1,40815393,-1,-1,-1,774885879,16296837,334164944,-1,-1,-1,217598584,423046667,151522893,635963075,604714856,-1,789190413,197228386,377234002,-1,-1,-1,935420188,-1,429411766,215971702,-1,-1,913635840,645836332,-1,857011358,776238964,828261288,335038488,419728011,-1,829300294,232500693,69044399,975625786,734169763,701691467,-1,-1,234128038,856748410,152823298,510457284,208867563,69165212,-1,644230452,779104073,-1,930840106,-1,208571602,63820606,-1,432025730,829715500,-1,889675257,-1,580030485,-1,995882199,-1,735640290,759477445,996522106,432242498,745024757,265813978,559355838,-1,-1,13278923,812043966,17634513,797588701,326138851,-1,291830666,777787728,-1,333581583,722691202,680575620,-1,-1,924067990,664174499,-1,977225762,940177937,232179603,23427219,787083212,750818781,589770335,505505003,278055278,658311858,5131373,226663366,942158678,422352311,527013485,-1,346263528,809181654,230722933,-1,400376175,-1,-1,354054783,810211322,966061299,227131901,429873076,769539353,187115496,312456960,-1,205648442,101632580,921296657,-1,804677188,788158332,-1,936670979,45769676,327210801,944246269,463129289,-1,858901577,789106314,662841353,706278073,-1,456618642,36460789,657736636,-1,-1,895744876,332148365,683905212,438898423,564595212,-1,332451920,554671081,131116140,150645519,75858052,113628223,394607966,344261888,369672637,274610560,478772315,-1,606733276,133842747,249346557,-1,-1,916830562,809257485,-1,-1,319504103,912205581,616541077,116850444,716000651,459376705,95830073,-1,-1,642627683,-1,452845620,367416859,501365248,215929413,384382346,119767008,634776787,749174744,-1,391545992,-1,-1,-1,717891875,-1,-1,-1,887553438,233073551,701010433,-1,857513832,935124155,990985807,-1,36660997,-1,-1,825795721,439995816,81784713,950635379,105459439,368705976,116476555,481152908,631970601,284901427,472033454,363785833,502685841,-1,153852776,-1,-1,73976901,107641881,962468322,930718044,-1,945581166,662650010,-1,233040701,65543087,908540486,366622205,49227101,27251968,377298639,-1,719854090,507632842,-1,554412741,-1,978662997,177224565,615966676,-1,-1,343891365,956086899,792082320,550346526,760439061,47746649,936178702,-1,885417722,541003456,-1,-1,550895046,-1,-1,-1,-1,998420893,298871335,-1,-1,-1,987770336,967806118,435615453,279881499,-1,651482322,4026986,138350936,742066340,636141196,548518506,579149945,273112013,-1,115524101,827932759,307363693,987323351,789241333,-1,-1,301641152,-1,-1,-1,-1,578210074,-1,466429756,368895193,525193831,203217666,358245132,289005280,-1,-1,784537156,962506666,-1,353885990,282555416,204024156,992720556,611796786,-1,-1,336799502,-1,733212318,115949264,-1,-1,757704117,967090039,950867654,994590076,6324317,1276771,585491714,-1,-1,-1,-1,-1,86118465,54477441,493208401,789754801,761239935,-1,-1,-1,30158308,191977271,-1,-1,859811394,74725925,-1,914146770,213807085,306875471,-1,346604911,355977693,882433090,852951804,52808215,143424824,-1,-1,-1,-1,858943181,139315366,-1,-1,-1,-1,199734752,-1,250123661,64083700,695960517,-1,195324516,6175923,989218074,-1,599259344,77406122,811683471,-1,348780725,449948231,-1,722778673,75850843,353060010,551529045,201102151,647050707,-1,941036451,691278528,-1,711589335,125967446,634855315,-1,47933983,382335955,139035331,-1,-1,-1,563859189,-1,952167390,33889464,621469800,342748969,788494737,758015137,221341493,470594333,-1,574301816,442840782,-1,120142373,567912808,276364415,925792927,386956688,959762764,70578067,913363138,-1,-1,502342643,19971534,683534945,781806351,949155528,692771795,682239827,-1,534742980,213985365,-1,636490784,841795213,30852164,402174037,99767041,32625843,36768287,-1,550107901,-1,-1,637734016,-1,-1,455931066,-1,223018016,597910650,-1,-1,-1,131352197,600381681,987962603,180429121,242534391,916650454,-1,368245653,251698561,-1,802899485,27655219,-1,-1,546573712,25563019,171717088,257358783,614845399,321666419,896053128,182554705,301558419,-1,327863305,702315301,419219433,290871232,456918762,148926257,666515255,-1,-1,-1,-1,690647817,-1,83938838,430608295,-1,473117892,980638959,589898508,839917990,663002235,9714377,251831869,661964172,-1,732479549,273958611,983342147,280405183,113906740,-1,673464443,584434253,120288092,-1,255950021,933432691,-1,-1,918977506,394783284,909312425,391983900,753014004,-1,-1,-1,-1,247776958,-1,-1,710460580,549733638,-1,516013236,414590022,184110744,567777936,999428938,-1,317213621,-1,274272275,796226800,855354194,275139452,813353900,398933345,632679732,-1,174537433,-1,-1,712771120,341317872,-1,989350789,372662939,650921733,-1,744106812,959002983,372205140,241510534,558791026,-1,-1,478333838,430766218,-1,154492142,-1,-1,683085518,-1,-1,312384287,971065666,645647470,-1,-1,628630716,-1,-1,808386380,-1,-1,-1,891731311,684036544,997214816,-1,-1,734276415,127500407,186124397,1389141,-1,13581025,-1,801123653,724986021,227881645,-1,317012940,144953642,841149609,-1,-1,-1,194316533,52673361,434782038,747258743,619075167,751447396,309353383,446179177,940829860,-1,410797466,-1,36231535,21257888,365593122,407830956,985393713,739315345,775464045,244765445,945194042,482408226,356918549,851263062,614924227,816967271,597104923,-1,797321078,128201916,798985487,113194897,-1,-1,298836148,-1,-1,14206378,733900013,-1,-1,-1,666328362,315051342,665116377,821102739,864475487,846070637,33502488,496303265,464751142,508609766,-1,589944438,-1,368384471,992860473,147622767,767532032,312099447,794536871,997686827,998033888,431448053,441178304,185526340,301438581,511377169,67172450,543886752,929770925,36177871,996425775,151059460,702069354,211806718,-1,456738373,-1,-1,-1,-1,139658793,157181711,952270386,233902172,116332978,526486198,-1,272831619,57184667,331776973,472549469,961929369,672960729,274067193,-1,7332089,667226390,760755774,524959212,936071892,393239721,720353998,173299575,-1,-1,750467413,-1,447687404,121391943,-1,411252550,-1,-1,-1,382808926,141066828,-1,563516580,687852458,718759017,701370233,853804353,-1,172576995,-1,-1,992265777,996528937,742970801,-1,250831882,-1,-1,814810095,-1,427805758,895381775,-1,948559689,992105914,211911679,-1,22837584,-1,-1,509988500,388214879,467647596,849577431,270575543,180893560,65191538,872457578,623335777,-1,-1,252239903,-1,-1,62325429,924080005,666035674,984976777,182355188,162621233,229071311,604450370,911329477,-1,535616998,821663734,933922442,880226647,981523105,719522210,404206343,930807182,304730304,190826436,418942263,-1,647965102,-1,-1,-1,707216829,-1,-1,-1,917380939,129949712,221654499,-1,-1,-1,692281079,810415674,-1,31518756,25859285,-1,80837076,201229759,-1,-1,583707720,169441100,859475513,104486823,49283906,321635870,632937165,52966208,-1,329117408,471518515,168257362,770215630,-1,488115434,451411524,745453452,899970592,-1,408131799,771098833,386987594,596818203,826840905,248661922,-1,-1,-1,-1,493839376,-1,992023255,457520196,506741543,368510495,-1,966301111,-1,108618771,591338837,-1,-1,-1,721814263,645522276,33731777,79175287,-1,953615029,704518308,287023986,410349355,661774883,859607836,408458078,678380012,164012383,380522827,173308719,170222620,-1,-1,240644392,-1,-1,338956783,63967485,-1,178055346,509417625,541321311,1057376,996833222,778344610,470260629,602970042,-1,-1,962912704,661155863,794475618,-1,-1,674619556,865001006,-1,77051004,-1,-1,871508747,26566461,-1,672210642,333970167,-1,-1,-1,900017388,552640358,204575429,-1,412737104,-1,930855857,416066222,547499531,50440436,845152454,770018285,721315872,201569380,773370572,394379027,-1,-1,-1,713806843,190543423,262221715,828929737,-1,924965158,818679313,-1,57107176,382087312,-1,-1,836685972,979347943,579703151,730662713,108179694,771251776,243759348,-1,914712777,-1,597839576,566123623,198356441,728557650,161414517,-1,209522896,509291458,-1,225359410,659390017,115926214,932205819,702239082,891364171,-1,162952801,-1,576224635,382697005,312964363,865754748,913540364,292314857,919070394,513108483,922228095,162164754,161571965,745630596,279548228,794125098,472705553,779668001,719575478,807000487,118233504,618265439,219668765,580122070,669806618,652526400,964647418,9952489,945630772,249508667,107595607,90585991,152789485,667027323,-1,300932198,927323309,255176387,-1,608545005,148160137,774299297,150074531,401935908,536436337,172289171,368887325,234199260,141806121,558911858,388240858,925430199,-1,369484341,264640890,947102509,87241267,-1,-1,488125455,-1,941930986,3991186,647477027,888240933,160600042,-1,546403509,507433393,-1,-1,899707113,760614710,1226454,-1,522569328,80264451,65285359,289342411,-1,458787641,825771659,90255228,-1,973434007,28884597,-1,-1,-1,594441396,-1,-1,372850327,183898844,497355494,-1,-1,852493423,957239921,552334861,354449907,-1,-1,418861348,219590297,-1,-1,328448449,-1,627627805,865825917,850148269,770597832,-1,-1,-1,73083393,-1,703626222,595849804,-1,390563998,267759286,101605948,667659631,302449978,323705281,228539328,69832568,805565988,342640276,997159370,372876544,269393572,983433146,-1,-1,55302188,28379238,-1,-1,889384238,688412358,266090870,-1,563144218,181783052,760864918,-1,142934601,55917504,335704396,430041002,107886508,-1,270638017,747549786,-1,388035034,333444206,141734440,340675250,335041619,28493098,42735268,-1,442564174,-1,-1,-1,-1,458014152,452474187,292014868,-1,-1,559530246,710842392,474234259,136638276,783095426,358488303,79643212,761411853,639141254,740412846,948050217,841863265,228209614,146560740,-1,-1,187329557,-1,957835343,-1,-1,751334302,102391567,479605051,823195551,528545102,217322861,778139934,462710531,498867800,-1,581260361,-1,762162909,994810023,-1,-1,541170522,-1,-1,583092793,-1,999617057,564101825,369198639,424456178,350682968,962607530,44728865,-1,7367948,-1,-1,-1,474901571,165236173,-1,-1,-1,563105067,804591058,546723666,319879199,-1,130002712,239842531,409336266,42337788,575288849,-1,560728615,-1,405831984,269004851,875677286,-1,-1,-1,144992771,152868415,-1,768952005,622540156,-1,480606214,-1,-1,583879791,687787766,213590085,187664799,-1,-1,536285693,675874134,958465332,359008324,-1,993042376,-1,-1,526901196,468251299,837291292,80296911,562536253,161004526,251940336,261175059,332216703,613126132,263095958,538270478,-1,852261821,293629611,788204588,303606872,290446734,-1,-1,-1,898449986,176002039,-1,825072566,715416014,97638643,911608383,910903325,839782348,320018251,-1,463981038,273739798,709072523,125664672,-1,918860315,-1,731956681,588425130,867594909,-1,559930950,360179388,-1,375193631,421229842,-1,423639912,284356302,895396508,657721837,-1,589203175,-1,854782931,-1,839403817,551185151,47520199,-1,707718367,393895530,326969450,641588914,678440797,184158345,199662838,96951085,-1,504693139,-1,861952867,74410154,873522400,756428947,-1,570145919,479783002,969540370,-1,463903541,656829615,-1,612736218,841605456,779257485,210093852,811333262,-1,-1,356220865,337260769,988996845,615098055,648053685,977733194,267314182,647149632,277376246,870144085,-1,883226963,676672374,853594289,821491964,899864753,475914751,570033608,397557510,-1,629354617,309050719,148698452,1644534,-1,836215776,-1,676537678,971488461,-1,582826122,812673621,754325376,602351951,447759047,-1,388773409,22441698,561137171,728689547,-1,-1,787314580,-1,773750432,350007132,720689115,-1,416805704,-1,691226983,58670338,-1,640156732,-1,664437784,240790605,411073968,-1,575696904,731932006,-1,188408346,144994098,627868710,-1,982831285,379655861,987244500,929213439,167383479,-1,206559342,549563021,751097803,-1,982001304,-1,-1,6461040,443783145,437603309,286017704,-1,-1,811474962,12863226,873775460,849651752,312780745,937668825,875494690,-1,403979107,181450763,860342424,-1,811554548,4015432,496748772,509631247,518985528,901773373,-1,921125307,-1,881207339,829709679,127551183,-1,-1,971826703,71595928,82327426,-1,626043078,780928572,859322218,929883737,779044465,679284471,-1,658535975,-1,300324301,307270557,497104887,-1,-1,685001673,568617712,-1,300889350,-1,53957160,588313352,336569156,22602163,736785814,63021008,721941873,7839285,725925639,255032345,-1,-1,902523052,310452101,275327987,-1,249304169,988367304,924121661,796741478,-1,-1,-1,22422082,844210313,-1,-1,315307693,-1,238890813,676109805,158642351,-1,-1,196245859,314396904,-1,-1,686202947,-1,845170680,-1,-1,201252925,709348252,645248826,-1,786260668,273155279,422172193,-1,347720060,446902442,765320274,-1,810738523,172807713,-1,-1,920274636,146127201,182754453,-1,-1,250262702,521413156,502740886,559660330,626795049,-1,494035975,917231949,379945481,-1,662058615,-1,591074515,-1,282627983,-1,874643297,209410946,-1,564322876,722175205,508378608,979685735,-1,303355218,570435160,555540013,111161299,393672336,802300380,910886727,564854752,994179372,541329042,70410756,-1,177884424,738804231,394296994,37730914,-1,160509582,698264744,939690045,448893808,-1,807009710,-1,-1,-1,416776844,-1,484542073,161958059,674141103,245886403,370445734,940656931,397883769,420181158,83869292,-1,985471357,221635146,370859083,608583714,367697635,266613368,-1,280148461,13107872,762031083,294333169,312755898,-1,302607483,-1,230548676,-1,-1,676121902,-1,271977859,-1,-1,324128198,-1,640097001,-1,-1,525445932,821813983,958775839,-1,796529021,-1,747527329,605642060,957857179,669155396,-1,654476892,150148457,916075652,-1,653146660,544252886,860541959,744837897,-1,991059353,-1,636630203,267031953,-1,784941974,81997268,679906164,-1,271936206,388200878,-1,-1,335888126,530650948,996535792,533551632,10796702,870622607,638598595,841344293,-1,884867388,-1,27239916,106377104,-1,335575601,370746877,220030402,227931814,597213150,-1,426572399,649837385,520649695,-1,280863547,6844007,-1,199650511,949252436,-1,-1,463531421,586465782,219457535,460096201,205503725,-1,-1,507294833,-1,281972666,745791639,904723701,-1,783189668,212168543,250755124,352642037,966726035,-1,-1,94439149,408364276,726717881,-1,679119153,675232855,342857992,529212761,670862478,831114419,139899009,441939681,114080401,-1,-1,972157110,211723413,-1,586720313,91959046,13115623,556537516,454436849,573835772,-1,449266226,-1,689508024,443830604,238298414,-1,381054749,828314464,310619515,-1,14730047,773725699,-1,476027534,591023583,942584387,-1,684321737,-1,529510366,-1,856666025,-1,695658479,243025643,433740096,268097853,424681735,928971601,891077667,404987886,535612427,791474006,18451150,943635355,429550563,-1,-1,235648248,561996585,-1,471009231,544790407,-1,423784375,693585197,436456602,963703882,128668618,510641923,705789108,609215157,-1,481461526,377689815,-1,653968204,324303808,30385639,-1,937135172,-1,17255819,662563628,-1,395238223,734952012,675312418,943973280,245555374,-1,708196970,193165598,250069365,-1,353714265,722045006,638740747,275201780,755190556,984589424,-1,997459316,769375152,-1,715162816,872879622,695191064,731660995,580464712,24713011,-1,446908465,795497149,465954021,904923376,-1,-1,-1,472882409,341890710,768953907,-1,425408337,699108185,-1,582888952,-1,438490798,874484209,367346446,899301369,798478801,998893829,-1,-1,649750995,4480527,440250368,662117995,-1,-1,66123232,190449923,503441278,667798172,192909669,642505572,186204228,399167765,157349232,533377832,216629010,436749794,-1,81746059,106823789,-1,158176355,296013876,421719225,603964434,8014869,492281574,-1,988398283,257612359,412286243,-1,-1,689263829,861561165,-1,37501355,-1,690333743,881609200,706604710,915993778,968008663,187502765,655888004,-1,99311485,633064699,-1,838772309,450339492,315661496,56016933,582732674,-1,54784136,323723683,-1,-1,497130051,26811001,-1,494865669,191286306,518235303,-1,22535342,770135542,-1,116574687,-1,851060533,534142717,328163256,-1,963322643,-1,544634305,964099022,502940550,-1,-1,883970808,402265272,151153449,965440906,56241956,-1,58818606,113916211,538266972,137863022,918116299,-1,126589832,743792865,-1,70130707,526436495,48273085,-1,20678324,-1,460067110,156549895,-1,157085149,213717498,106952960,647597077,645247054,-1,477105354,986082180,-1,437946597,617883454,173022236,703139174,310370433,-1,323811170,437559261,-1,982113107,682537131,876475128,99061824,115024823,792915571,139781583,825860738,606942078,-1,356884657,-1,116210306,552773138,-1,-1,651531169,452370405,-1,607410214,518390070,290138463,-1,879077108,-1,764800359,-1,473947180,269615630,-1,-1,213107931,-1,-1,999169040,870401356,835592866,-1,181170261,184973332,-1,-1,888949281,237427202,-1,320223703,-1,254473838,974039466,-1,15991674,-1,236738721,642210137,-1,875177248,902642918,343916761,-1,327636402,146957383,432317847,468237697,926706456,2926632,-1,610943100,768614817,113691076,939278156,397092567,428194505,-1,-1,-1,408356295,890074574,523499826,516368984,362582514,952410799,-1,-1,387619296,-1,722565376,61710303,397299334,-1,-1,197825647,-1,472897492,866983908,894994121,-1,668555082,-1,-1,888587371,-1,-1,919320044,12724597,628838280,743781231,341628615,-1,819257985,653491958,-1,830160087,305541101,630832011,527947378,328877441,762848120,198450964,404770461,834984787,220231117,-1,41362643,-1,343776254,910379119,346030114,-1,825420923,211893077,-1,862155006,74276453,642129128,737700143,834903056,-1,466970380,666480442,752185362,199252988,721771986,-1,519218299,-1,754926131,-1,520053999,444877887,728766081,798393963,455088463,375790536,-1,-1,-1,-1,-1,172344132,-1,194934827,315345122,-1,-1,903970454,473819992,746218107,443236066,92680272,736721484,575150854,561708343,-1,-1,-1,473731323,216056688,71260445,40727203,785927285,463137006,830976969,930573189,403148819,-1,329371565,805528196,98341358,-1,588518474,508748796,482006536,-1,296018066,610162036,-1,523173155,-1,876608778,24395351,-1,637148299,-1,210845376,545309615,-1,-1,540061277,112815189,514237369,445854670,427779668,740717543,-1,-1,175207211,822745960,523226363,380354221,332889631,281722672,649588025,666523817,804860662,120378978,-1,451118893,191503492,-1,415566989,626039401,473989585,-1,-1,779920078,994894112,-1,-1,862655536,124810629,-1,-1,-1,898379732,-1,480940514,775148496,-1,567766445,-1,-1,-1,-1,-1,834356105,339386872,-1,566126909,430140838,215364642,519181210,-1,-1,-1,187240736,791469406,705405733,385435217,-1,170498270,-1,-1,909366901,455823950,-1,199433167,132285956,456569587,599556600,389654760,903808974,631846897,421790325,487413176,300387282,513508510,-1,-1,935827792,61459022,651843992,748490061,840677090,-1,81683634,772471799,249841461,851475395,904170075,741819130,-1,367058012,-1,690608179,296305939,947440796,642150107,841694231,241569181,515269148,771031729,370544824,-1,572891116,26171565,566451114,428363625,925899443,-1,-1,287377515,128400642,-1,-1,-1,963627405,225111687,-1,682408221,-1,280420629,793101881,570046190,542797840,-1,317853129,13686691,-1,309267477,-1,-1,-1,708621402,-1,-1,-1,-1,72135383,369143627,75554376,37374467,969127072,-1,-1,910246438,381204798,-1,-1,-1,549121612,-1,512705059,832319110,683201468,690406587,-1,82055786,103109205,-1,-1,-1,-1,-1,589451632,850250733,719777321,-1,579083359,-1,913430419,428444124,649276613,-1,184971281,-1,608480097,209101391,526424294,263814990,847163231,538460406,903101036,-1,-1,729131452,234226975,916157936,-1,-1,536262299,751836452,-1,-1,270472206,708238962,500269214,888703385,883334303,-1,23626193,223959790,117100337,987309832,427648566,-1,135392622,-1,243866013,526567428,678988096,463184743,552563750,964369572,478511221,-1,-1,-1,-1,183274445,682365805,518285070,497860350,35586030,-1,-1,660409603,640839994,400579650,921228387,149943524,790274885,611915274,97146833,250915455,430825191,-1,61785422,320457323,212672114,337027835,41943739,-1,-1,-1,-1,-1,-1,883602745,450673920,415317666,183748416,934805504,829894714,115297455,-1,241698212,-1,-1,497857711,873653330,-1,238546934,-1,858362636,428933251,852227740,856164142,699120920,978066637,47035968,-1,137437388,-1,916349917,536704843,511127375,974224008,687381280,547832971,292559455,739178631,125978215,258488538,6459121,476151741,876811853,898968970,311662372,919332811,-1,187919050,101303464,-1,210624270,408711632,-1,987648941,-1,256346709,538862992,-1,-1,414288865,49434465,599640061,977147488,-1,-1,-1,156967786,-1,936251557,589367447,981215085,-1,597934670,669202360,-1,513766521,-1,174622694,86061300,-1,290530440,319951107,342355200,361427586,-1,162377996,659124754,475632185,314961359,-1,880524029,193663327,384613190,-1,237523840,-1,668641831,-1,-1,740490676,9862836,395370054,-1,-1,214401096,-1,-1,700079483,871768205,675821988,872995738,-1,-1,-1,285071454,247703487,-1,989037817,-1,797502956,952897493,244586021,605459050,261918323,152907042,-1,488937401,610431300,902260729,641627222,-1,647713377,268823959,503510234,41269064,-1,229735657,-1,143065091,445273708,-1,987155472,976462028,196770054,-1,195823666,925759051,514728019,43038704,759251425,-1,110213627,836844183,-1,-1,-1,482625904,102484332,164659172,-1,646462385,358090069,970040716,612804691,726689580,201487978,843487038,-1,567629661,244692597,-1,760183569,-1,447981915,32750207,325528074,-1,953342303,-1,641693582,987602024,-1,-1,915742854,573114750,54594186,-1,828656837,97869849,468077258,-1,368651025,526224860,-1,871815765,750773969,778831152,513897703,774059848,315445291,-1,867580028,-1,479073531,732188809,-1,173675957,89744221,81353226,-1,560160619,-1,-1,-1,-1,-1,187413109,584731751,545791114,425727518,-1,-1,-1,-1,357265856,625554152,729422011,-1,-1,-1,771638963,511685323,-1,376538433,42187901,-1,-1,-1,692092015,954135730,840375151,683368583,905684764,785602113,247758080,483638677,279618489,976488507,641927417,454653431,234586762,-1,-1,282068767,-1,140597593,657031859,439259040,541384719,304897989,699270942,-1,-1,-1,328340906,321228123,829949144,-1,-1,333673490,862187622,726573203,863950877,-1,946456925,126606415,52265943,475828474,829287411,-1,-1,355867549,684840119,-1,891130789,-1,952451656,697408337,354316275,448803309,707412834,293924203,-1,-1,557597764,366639332,-1,-1,-1,838131030,-1,-1,906044564,763139060,504537796,-1,676004594,-1,825293745,-1,42447949,979374482,95127205,34829658,418245367,519080520,-1,650559867,715730746,421899612,-1,733808150,-1,992278849,287963157,195881353,471165394,839640029,-1,239286829,258246327,374155978,304704597,-1,769090504,943966673,983886309,78950545,-1,756170990,897114160,-1,-1,371274710,797955897,258271251,-1,458860042,560741895,193131184,-1,312850261,-1,-1,907307799,233556726,95310195,436530415,582497487,26327302,945908558,127560276,324904312,732805394,-1,635347551,412363887,787292442,-1,302677033,659141221,-1,-1,58074978,-1,-1,-1,114228929,266930203,-1,67196944,267807470,75744605,547039722,468705302,410523872,-1,390955155,-1,-1,249534439,-1,449011365,-1,865551296,726369867,253367822,-1,737830084,827862951,195883671,278055415,961619136,18418358,432308273,-1,586496934,731568043,569688139,-1,140038075,335965503,-1,623631237,-1,-1,627315360,129986130,41639847,-1,856400984,190088144,368310941,629818255,407623994,983295759,959636211,835060794,-1,-1,929134462,544285495,919099468,442282553,933529481,-1,52328166,453181978,-1,980262260,32455833,408061052,189845129,666514576,-1,-1,844961201,-1,843072614,374641779,795853770,399748341,685177349,-1,-1,-1,-1,563018781,-1,847457422,64471644,742829720,-1,500380181,713461881,359751458,673223227,870661762,242645390,960626279,403027723,-1,-1,443639234,47262617,-1,290882808,-1,749175100,320150800,821998492,-1,97831050,382143820,-1,745410230,644015168,341938463,-1,664330889,-1,136706218,896929277,192689947,-1,-1,270628169,631840958,725625437,577619230,343458069,321485930,716064437,420951350,-1,213542799,933989200,-1,498727362,757514719,72402728,-1,839714299,889368320,204533692,580631792,208158327,356740115,-1,21583912,36045182,507158574,-1,584985395,-1,748742305,-1,598874583,465119563,788906155,-1,182063269,-1,804596700,599145769,-1,475911090,-1,226252211,-1,907327995,974550518,-1,-1,704380952,767873269,-1,544296986,-1,367509992,470041671,805461956,-1,158194672,546572329,-1,910963767,-1,221529973,526127107,312986612,-1,-1,-1,779646523,488459200,81246474,845505089,247255264,242294046,816310428,-1,220545245,448020603,342412283,813290332,764299872,741714134,224843863,-1,743487172,812492007,-1,-1,339150512,646859607,835327067,705367217,-1,909914518,-1,-1,-1,502990031,471988254,512270212,433006756,779100387,332547734,171444723,753271859,754419459,388557268,-1,279199837,-1,233023807,116855287,-1,-1,530737545,720513654,211776650,501014689,-1,707317861,-1,13108521,200550698,914015959,308899231,-1,652272808,-1,812978243,584094206,861652210,452812157,186577873,-1,-1,483475881,137293367,529686018,948625256,504828778,428731571,289251164,-1,138511999,416658993,756216366,749237390,-1,178999368,639734040,-1,-1,423582053,305454144,283603658,283776130,171841150,-1,710026649,-1,806608673,-1,72223015,314284895,-1,763686818,-1,760488417,846379698,-1,519908147,112636938,645174762,695711710,509506838,-1,-1,-1,307077604,39264944,-1,993982765,932081553,481450973,-1,607555171,687199548,-1,64276435,-1,964850149,202959372,833680724,-1,45420058,-1,-1,191069232,820992852,647314081,-1,830490212,-1,644450349,166687640,504366310,-1,-1,160635534,356278327,607584830,634594822,125976972,-1,-1,530341035,-1,497203013,490780463,112740186,704288322,-1,-1,683301664,351261362,595353260,54394194,-1,968782688,751572007,649357304,-1,478086576,-1,490358568,105935965,312916577,-1,749639808,185446252,-1,632885997,951031155,628806510,34423460,254588671,358874527,221821493,-1,-1,-1,-1,-1,-1,813613822,91335395,-1,375946340,-1,-1,-1,-1,72334779,150252912,-1,342569776,-1,-1,-1,178149502,658746094,-1,-1,253613952,40292249,801633936,553674764,54856498,745425688,-1,577312845,-1,947413831,271141994,287964308,-1,-1,-1,-1,148766918,419418807,382559738,-1,359538962,-1,456972748,-1,45605111,-1,959754530,-1,683507519,426928606,608528557,41017956,-1,364211180,-1,566863945,698846671,743781379,806591677,389388973,753320172,-1,59579470,586409449,-1,970440804,-1,288536608,773973463,166048251,256352907,361694602,935853918,930632429,801418522,-1,-1,652493026,-1,957330657,-1,813625778,-1,428112382,905136408,557659270,-1,682460126,160983401,248164807,-1,610798174,873968812,118889817,994877676,-1,-1,-1,578281726,-1,-1,-1,417209187,261946399,945216479,-1,925817386,362132386,399436890,669836453,32533343,261213996,616448673,402745783,480710628,-1,-1,148808479,-1,-1,751346777,-1,-1,270925288,-1,905169619,281727208,-1,527013304,264308166,340059619,653660208,572521857,710075812,-1,436747171,257214689,-1,-1,386160532,22464183,332610571,294920417,-1,160103401,149149623,289472437,410030720,67428184,634236753,884962474,768835724,986095476,797573925,589632860,533050280,-1,-1,-1,451287597,650786659,692267201,334554938,-1,745503270,362865916,107067398,-1,465641625,-1,226451324,301014722,807762714,409735130,886832965,971927340,-1,-1,194496103,-1,919609485,670704758,439395511,145904827,424050219,204756113,164016146,-1,95409954,-1,777530518,84692637,496099788,-1,738418339,-1,-1,82318208,997077905,655930148,949046085,-1,122069249,995285023,144297335,156535089,398747130,509414449,-1,-1,-1,229708242,576243691,840748349,903672119,-1,-1,-1,735987924,57514626,-1,-1,-1,-1,-1,21700957,183352770,-1,557158564,690966411,126412757,778512492,144889470,161942504,874547285,610944447,298847093,-1,434506611,105309790,185402225,-1,-1,737543951,951282607,547454937,611661490,32140036,677624998,810250526,247426241,220772870,761673420,450248753,266372373,44083102,918050483,796541272,900134407,-1,-1,53680309,110669175,-1,-1,-1,56293382,977086890,496887952,-1,717107462,102351248,835364015,476944145,908619877,78048285,95801169,673705911,286258373,629665395,709276676,-1,633789505,785592087,69128897,384705408,982544174,-1,-1,159964837,489146962,-1,-1,-1,136522153,364603728,161027842,-1,-1,-1,-1,876533420,98152473,177428254,-1,282862601,260502418,413582607,209603779,-1,-1,513085401,-1,346277856,485967984,111899,3759325,684783674,-1,27266984,-1,945629277,427104666,561406665,-1,316613572,-1,-1,151583220,-1,383950720,274507091,-1,198416740,-1,529643809,557425927,240200789,613130722,-1,-1,-1,-1,16215352,-1,-1,702150041,831014084,820116273,-1,293011787,3963621,350023410,502777809,209586080,802006378,711801478,508396395,-1,435167620,777008735,247824375,-1,-1,291986103,-1,817673634,370919388,-1,31308913,186427508,-1,463272582,489083376,398121067,903310396,-1,960193452,178172114,-1,316915604,-1,510836125,877548688,716615159,440441727,641249079,466617229,20995702,430697283,-1,346239380,-1,351333076,885216708,820267275,715544953,569314044,-1,-1,293226541,-1,929250178,-1,-1,-1,776874570,791164461,-1,906153739,809802697,706842680,893102620,878564241,700827926,686471387,322300263,719682929,-1,896798588,-1,785487521,-1,721361810,-1,-1,48406995,94799525,350831752,13889050,-1,102497703,452163916,866328086,496030498,495114328,-1,128775030,-1,860364845,-1,-1,-1,-1,771322907,549656486,52648901,-1,359889289,888969580,947911190,-1,433635315,461264013,997774695,92364953,785960909,998828888,-1,-1,548588850,-1,32442157,971755471,125010132,-1,715069131,517582713,-1,703680215,859390218,943153685,300102616,-1,32327921,751186104,561656023,-1,-1,861524033,307189894,-1,-1,485063588,477327294,735400705,146740927,-1,56960820,51751305,793018231,714814500,-1,688165065,406121328,-1,847570067,968205358,770010605,313209510,936419694,-1,437210151,442977944,-1,488484072,481026012,456158018,435309352,309829519,734137320,-1,-1,-1,337269656,99204703,675555881,491568326,-1,-1,-1,-1,827622314,924086529,3109212,258299,427076634,-1,439761189,928013038,-1,930564339,677154020,91801304,-1,879293107,981634126,393696498,28210931,-1,-1,862650303,312106351,294762330,765865705,-1,843942436,550119124,667292471,141128666,229771778,849364299,-1,373571291,-1,-1,430658232,197440103,895520519,660823223,746709528,-1,-1,878806346,64524006,94344519,85013305,723530721,-1,-1,308322623,-1,30907261,-1,897880059,545763075,423228442,409192724,-1,-1,775371373,456216089,295504985,552331664,18853733,132291675,977764605,638055078,-1,271122759,641721128,-1,969012094,538740698,-1,861867635,-1,875165292,155853955,656646221,-1,839970064,287623999,763901692,261916503,62771565,862468798,25684783,851121783,454773821,784255479,405986679,657759221,235926312,479104895,723055004,604136298,-1,864898611,642912648,468152826,230725374,941335127,-1,-1,295998306,132086127,-1,978360396,888041664,922811342,836568056,526598650,538896711,303412613,-1,-1,180945641,616552331,397757512,-1,-1,-1,578953709,849877038,643983579,832566896,-1,962339058,666005476,965953611,-1,535335894,77508425,131293241,798001594,302115066,-1,326863749,361432690,-1,638789670,488666799,-1,-1,379606422,-1,-1,616420798,881421073,-1,-1,378434961,34906234,755418624,341874254,923804144,687473569,424886008,238141654,399457541,-1,-1,257708827,644407479,817347456,-1,773244226,600572954,243486531,452965406,-1,-1,273609824,440633212,465710858,-1,-1,872332784,237716094,458195668,631150737,949532331,228156229,422721216,-1,884542070,617418873,280049214,-1,218670040,702700066,365698994,-1,658207679,-1,371705322,936161937,861884564,-1,518749679,337420001,-1,695380135,916664247,630070835,-1,-1,477970092,-1,278832203,653962383,91347751,966157970,665564052,-1,478599626,817943749,125470210,-1,-1,977184935,495226905,930078877,337113978,191221386,985486183,401224576,411094126,-1,744726928,689685036,197575205,744027398,618228140,772811432,509454475,345292153,31362553,744300886,-1,-1,212835514,158154840,802906524,-1,7222764,127550059,-1,913206430,747382252,222236150,728599084,213590730,898543045,238041315,649635079,604787489,687211162,12841019,-1,589814301,-1,415597720,-1,-1,-1,334522007,408448072,-1,-1,-1,97525059,512586222,118537869,-1,-1,800526569,30307075,348747064,-1,-1,136464898,748810819,83424468,446062428,203754766,640080835,244768716,122294745,339456625,-1,-1,462352659,800180879,28817430,-1,865107561,500280920,968885062,841108983,-1,496432342,-1,246218470,875349591,-1,998942263,217326742,958797999,491414325,-1,140896897,559278902,125709557,471892743,60276938,24458915,690003224,242893599,998079192,-1,-1,-1,280184567,792818199,-1,729354084,-1,-1,939922184,-1,940932945,315746798,-1,-1,1345227,17861838,904767963,-1,-1,-1,297975029,75984284,-1,-1,-1,932607401,768733744,121539064,-1,820864645,72097184,960802996,506969956,-1,748671665,204372039,360053105,147878629,400546571,-1,950740550,949936026,692185257,632460898,-1,-1,-1,524515096,594579450,-1,-1,969447651,66286772,452000731,561160476,663942337,570994199,506144879,-1,146620382,-1,-1,846579803,360497230,279853062,391317290,412705883,470491700,-1,406782645,860618932,246195419,-1,-1,-1,266803997,571726413,118106528,56324080,-1,831371531,734685200,764245462,340419476,-1,83722793,-1,223646283,-1,361261865,416721590,787009752,972619661,403167796,42880680,853927914,-1,257714210,910325464,-1,372603094,357501668,471006292,454234473,56985896,28192762,-1,177902992,280564307,761260521,99779820,357711451,739826045,-1,-1,764756013,419601543,-1,498015988,489834371,-1,-1,382183927,-1,403186678,-1,907723670,-1,-1,886210099,756371435,-1,-1,-1,-1,636058482,568085305,244718482,212659098,779586765,553565481,164589288,811759145,-1,779129134,209064834,662425012,898058649,753509587,723592084,-1,-1,-1,-1,220522119,599089968,-1,28220633,-1,375450409,221403956,135181887,764820093,351486221,489434014,-1,638186212,624709635,175500522,400183947,-1,710927642,-1,279342156,295672090,745502668,520926366,844587803,486802818,741594662,478827714,-1,847020853,-1,641394822,641222391,950482955,797756695,347658363,228822286,-1,-1,-1,472824985,-1,-1,381575513,605565756,551540175,902877346,211614679,738204780,-1,293618898,371833772,-1,-1,769488875,363610547,286527366,367875560,288709671,-1,373882166,214496690,-1,337034684,748278612,604305475,-1,-1,940332941,741459169,-1,665987416,-1,975409987,-1,895598710,-1,-1,485568586,215783482,286955560,428611599,820568092,245537225,627889878,198537616,44813371,502639504,254813473,360878598,228317540,-1,920298169,828484213,-1,-1,573948165,579018127,340229177,524231646,-1,-1,-1,262736129,-1,293051643,695544160,627170441,924161593,880147088,759806319,-1,199476525,814606316,894570452,110271978,504619100,792633580,117125122,887724294,622596239,929658231,-1,739114782,816884438,870666577,677725155,573394902,279621198,254725079,-1,517145373,-1,-1,-1,743438561,505866448,269459648,556029320,219252885,919699030,-1,970668749,-1,28985439,796960697,-1,331356650,854977665,239896088,-1,281517348,258725830,-1,884847901,479172706,309589029,477242964,965824645,707446280,-1,-1,256500153,-1,-1,-1,283104949,978632738,260611107,-1,489306149,-1,350899134,954141428,-1,-1,23387884,-1,822247034,518430497,-1,-1,656676513,187826307,490489303,989346531,-1,876305827,833786255,-1,402994473,-1,382150257,40270921,183182149,-1,-1,-1,257365732,538035212,-1,901715907,433362052,-1,440202794,300541950,651808721,845500371,211675540,-1,420549383,-1,802074870,-1,-1,629578417,348485535,295029135,-1,-1,869644450,591479026,-1,951642517,956898904,849504430,957638244,751217112,-1,656518220,866726685,-1,642619944,118725012,-1,675947434,-1,-1,9203162,67507851,411847102,974367486,991311113,865653171,381660778,2228462,957971856,-1,798211421,855171990,692593773,198937401,788469310,395333358,-1,-1,585039007,-1,952391982,631045767,146717661,778701220,877230255,345376451,498972628,172557215,389308627,716470942,-1,145371187,765330787,933550284,-1,564357744,236728531,468262323,888669492,125421247,-1,466764278,-1,862111118,633687730,-1,-1,-1,181559309,621945555,191672371,505961453,-1,565996077,160984359,107971818,508584114,246088470,550668572,640634662,189195393,-1,164421329,-1,954019266,912677260,-1,-1,201779891,711995489,825012624,-1,322714973,357881982,757477426,47976496,-1,912578619,157694926,546125146,968082033,603801327,174980964,-1,457767431,94625367,-1,-1,120894624,78501141,345002509,-1,985291668,571324478,25580378,-1,140117307,837142012,666051140,-1,890750598,531262421,93614961,116616314,-1,672014086,-1,472722268,991769051,-1,331950311,897570561,-1,-1,735789995,-1,-1,-1,542954166,794565243,369202585,286991696,867731546,965401321,104648119,590879134,-1,518894694,248557336,76702956,458385800,-1,885266277,605462254,-1,-1,-1,934925369,-1,944878329,-1,755538367,674550956,76695853,-1,148771103,-1,-1,109859534,361402402,729914577,634851236,945429741,183665683,-1,458256160,250056477,397844602,59447418,590336505,531260079,897346863,294966243,272081446,-1,228007282,831268086,-1,425810728,-1,-1,-1,-1,49278007,149828934,335201924,21482162,-1,-1,544938906,206075143,-1,169049368,545691374,635541380,464551092,-1,509714171,212114335,617312606,956416719,511531437,-1,-1,-1,455616365,837076668,461112220,228272349,610574895,964179645,835374227,411036398,-1,175724412,-1,543953400,116659807,655339277,600996094,-1,546661474,-1,435560842,266587123,798022115,-1,870324038,228720354,-1,-1,169201732,401161341,299311266,-1,694744800,109368369,152958654,210144744,158780993,-1,501741319,-1,250240682,664093960,-1,143307853,798308572,579161617,-1,942335354,-1,659576375,849514025,-1,924654658,193858835,952670937,477179111,138004277,861284145,-1,400294000,437833269,-1,676275575,993909656,978898721,737920545,904966510,-1,-1,953474458,-1,-1,-1,616039192,-1,279186903,16347618,554835259,331575522,-1,724176367,847079183,-1,997822716,694721419,-1,465364465,325274884,133681300,-1,856115154,593120854,-1,-1,195451600,340439016,107288021,948413633,-1,-1,284813540,-1,-1,424825682,423528964,336719158,87498470,138642452,-1,768198809,-1,739822599,566056118,439313338,656292235,809007111,815517164,600859173,29648508,294783122,514615319,731964330,185482343,898967953,708089192,126754314,906480074,883134477,-1,975105271,100689121,-1,278499500,-1,253357153,161177254,954540185,-1,392392043,792029064,990109520,738877647,-1,395401517,705716740,629222940,329645385,361711930,743022246,552396297,916244941,677800698,-1,10252334,-1,-1,-1,611739903,-1,615521217,-1,573995426,-1,961806420,175599184,872591338,293255319,319868872,470544838,961750510,-1,-1,349054296,685013704,-1,237729344,278205038,817307800,812492590,423099178,302947681,-1,-1,-1,-1,962490184,-1,579852582,899396897,247399564,987779347,62822688,165750012,684039343,999753648,5269401,909301219,997083693,-1,958581137,45414084,78803416,-1,-1,779541645,962763794,-1,-1,304799302,690222216,772415345,-1,349524646,701244492,-1,-1,-1,3460202,291988761,161058138,304285647,-1,225018188,-1,-1,-1,873882332,632509068,-1,435106793,126394504,497724928,583231467,-1,397650375,445204496,508934441,379679962,-1,32382256,797884285,437626478,658937732,820271090,-1,81738796,-1,934710430,567495833,698786753,304039948,967457470,-1,-1,712007880,168733213,623983033,53807240,913100658,-1,566596605,-1,730164569,894931642,209852297,420935549,390633138,-1,707162059,-1,846990357,801618311,767078012,875167843,977075675,722744391,-1,586717652,-1,532350009,29876642,770617273,-1,790557800,605893917,142978669,571877036,456769976,324656017,-1,-1,101216871,412290428,173217128,145840519,-1,338704661,584434294,-1,-1,776290408,475456361,23306449,616958137,64391388,422462944,-1,394389237,46467296,810127789,906719499,414117714,-1,762965036,598071719,731185495,-1,-1,-1,270080594,262197771,653171228,314031642,526264308,986515713,-1,242661296,-1,-1,760207329,470646438,641721305,612713969,-1,117248175,954277884,929212775,524981581,409978623,293290566,-1,-1,-1,987297706,889858280,739839343,832850606,215328779,-1,595252337,220848457,356016844,650611305,-1,10351620,-1,-1,894279410,645148424,33179350,80998847,417721801,-1,319055043,964317456,-1,949229870,745190165,413838170,-1,-1,624995656,-1,-1,888449159,-1,360095124,-1,924248370,560806344,414840044,498696462,428377172,257353796,-1,466703412,766622673,254090553,548486022,-1,616002357,303552950,-1,-1,711360054,-1,-1,52316062,507603972,-1,611915794,-1,129134048,-1,-1,275436323,-1,550836089,847722102,405151004,494957204,-1,-1,-1,770996299,773422602,668725399,353134534,-1,802727166,251812890,218060678,315554025,429079338,22625319,-1,382975543,730454667,525416027,302962969,574599695,-1,548578479,-1,-1,-1,811678167,627014526,-1,-1,221894319,-1,-1,320781159,351254998,-1,-1,610265675,988759692,341043376,739512694,306042865,249477934,133413655,830527609,-1,520641621,-1,691762218,694819089,299695692,-1,-1,-1,864873506,926724779,854484284,748095100,613198545,-1,658529117,117675584,588199549,352872964,504581545,578824655,719222045,326322872,-1,-1,521681991,653558363,-1,254082220,309942639,-1,-1,944528211,287371537,316711599,522918252,956854060,8048076,375425275,837766045,-1,-1,746978833,-1,697068703,652079701,990998010,691962489,135183259,556385323,81014703,-1,552713023,-1,954693036,875333999,555686377,-1,800956133,-1,8008897,801979486,901469327,394782061,-1,314386196,15880484,370036973,613263175,712546568,71920461,-1,774198531,-1,-1,450896318,402343144,45103102,897300332,461117006,-1,960446109,787544187,-1,803505205,-1,-1,993837826,747660271,-1,939544093,582827486,-1,-1,514675539,-1,318377089,-1,797601651,-1,38037528,-1,614241393,718927512,-1,-1,-1,148033130,33636583,-1,-1,412951910,925906130,52816924,18765612,500132901,137150621,715288175,-1,4436988,874004668,578076892,541219987,598057232,916047358,815861198,-1,369671291,-1,871164061,209057022,819767446,419903672,-1,668367783,-1,682866337,83985017,-1,-1,-1,228193876,50576555,-1,-1,370348114,-1,23587823,-1,-1,115035816,-1,-1,-1,90431917,950802146,405927511,885496008,482620961,599592777,193958408,750271397,557528744,11981848,-1,625008295,974612422,-1,159720499,491578368,156512809,-1,671086636,467881934,-1,101409062,793237739,395485410,144472336,755195360,154670310,-1,69712883,-1,-1,-1,550959085,1294728,878824997,411284969,847908235,-1,267732830,-1,691505763,-1,20997123,700002068,-1,-1,-1,-1,13960806,408666832,416139985,104283263,379513911,-1,-1,502355541,-1,-1,544642743,932552542,683765782,-1,923206987,-1,111374998,-1,-1,941693554,-1,-1,455331729,272058228,211336152,162750126,734239210,495398323,-1,-1,-1,95974677,173691630,4094779,31794252,251442851,732697216,128782151,133435041,321322496,593217958,55803112,427504591,-1,548311296,625153843,581441314,-1,442137457,221650535,376753565,-1,625077641,-1,629970966,-1,-1,-1,553203736,404835811,518043677,-1,469621906,39401396,533254010,622029263,359853018,-1,-1,-1,-1,-1,-1,822593417,352956895,913008841,566983731,-1,287863510,327144786,554615219,824048635,-1,588242176,266592670,409743763,-1,-1,-1,850083146,-1,-1,-1,896701368,-1,-1,729658773,-1,-1,558437537,613816210,328254029,-1,908142185,571215278,605243537,348036400,195718909,-1,58530190,271885184,579343201,865958230,462942737,336129130,95176262,277124200,110759967,439817780,-1,675701636,-1,-1,428479352,468099449,338421524,667631077,431326353,943287427,715762067,368230644,-1,-1,606132336,721028474,-1,-1,145214003,219012838,-1,122657356,822665136,196375176,454972490,512012096,284663401,-1,854558605,802234259,558118153,363270141,941509423,333307531,-1,743883445,586365572,138429639,207457884,-1,-1,368742962,620459029,-1,408763486,-1,963122351,757035887,112043562,-1,233014350,622651708,477413268,143458278,457681438,966772083,-1,75597320,-1,35020172,976789183,261277059,-1,309937374,-1,25283998,47372882,585033898,193602852,-1,380848234,872101106,108330226,761220894,-1,447492651,43982813,274901840,-1,427907004,-1,-1,216452237,510063448,316491576,417319772,95032365,-1,894447327,-1,377926428,119754039,362832373,-1,-1,-1,50901188,772895984,416776957,25904645,192647178,798535529,428155061,102947350,58829491,-1,269547583,207870217,268468868,986168058,2687845,772749839,794227696,-1,223307257,662575571,556658170,792675159,403409746,-1,-1,-1,-1,376426007,853101276,-1,103723102,882777841,768012796,-1,-1,495547414,629609388,167612113,496906721,-1,-1,-1,670593453,836225934,485073757,-1,-1,-1,881219019,685947012,480009819,914102093,857846770,491802791,219023427,-1,530635887,581724393,630248676,534484343,969951344,-1,590101948,-1,614943441,768811356,-1,574583874,233834821,-1,567305683,383334396,417071354,767523897,-1,-1,693842458,607265567,937394301,-1,-1,128931738,260646076,330502427,601041645,-1,273916076,-1,132176576,991286275,504608664,720229613,146790159,317373912,555199722,935292159,-1,-1,889950880,832214210,974154081,-1,560400613,621367602,939740146,491095290,372294899,226142581,99844754,-1,-1,73531436,842025398,532698692,696761103,-1,-1,767585844,949440090,-1,598400563,-1,528187912,730946151,99019323,-1,-1,-1,98039305,-1,-1,446089996,-1,698666928,-1,106176596,919601190,795753212,713343903,374037966,692915403,959956967,476658116,-1,18157616,506666980,890865900,49922863,-1,397619824,334998606,-1,-1,408638439,657366815,689706743,431643036,70898315,-1,185314269,965292613,743247564,-1,851310374,-1,280771870,700964071,307412251,442801888,371341439,656481732,313208970,44347858,243360085,293849189,979899222,-1,-1,-1,178840085,-1,403298851,-1,262733562,-1,917034029,196549506,915933877,920445977,706838881,191095466,823765883,92580722,679363990,-1,435154525,-1,320386071,248739830,-1,189525752,-1,394262803,638550804,-1,189480141,864895171,-1,302453357,824808547,-1,958054720,-1,843275046,-1,-1,820450730,922320227,556716075,-1,-1,-1,-1,923704462,-1,622854912,849080369,442178888,75120771,627746543,95830332,357700293,319189051,560776578,848482169,204434577,463742232,908752883,222844041,84970027,790580030,193168629,734611198,46791498,867912291,-1,521717572,846488557,377348143,312948392,-1,-1,-1,584169608,-1,-1,-1,714100086,762639090,837075361,405916101,486355663,726425950,-1,873967300,821145145,-1,221307502,869383804,-1,683320247,647597985,689566416,481459145,538235165,476497783,455817887,640662438,677006254,-1,182739125,-1,-1,753555319,3697355,190571196,52870133,250541927,848960072,73220870,470025719,746470795,-1,191921026,970627601,304508996,-1,667358772,295946824,50253717,-1,691127164,400807044,-1,214619923,990887151,143795476,785135937,-1,-1,-1,9202449,-1,343976903,159310639,102775080,-1,128062613,-1,-1,978407103,663534554,966599172,843547269,-1,315800532,570160417,600472328,646753100,570628745,798269703,920115793,502914931,-1,-1,-1,-1,547597925,-1,318955816,185136783,917905537,-1,810144086,208054636,-1,340931691,75606745,968798139,184310488,591307683,753740124,-1,129130654,930223293,518061348,-1,656227879,745814517,466161411,416988620,688389121,536160099,706586894,151188614,-1,165059402,696158652,773880366,-1,224807802,-1,-1,-1,-1,151488862,981518839,917368832,965486179,847392555,91191736,770101611,-1,-1,-1,109144288,492064920,745889517,-1,5141910,84220172,-1,500101096,225273358,618325857,927238895,377741861,733930528,-1,882437177,978486648,769463531,728015218,-1,-1,-1,16496176,-1,-1,963454836,777744317,724009958,856055953,43617885,261077860,959418031,393188365,-1,9804002,-1,-1,229540222,-1,127742957,551438649,-1,46893242,14271076,-1,-1,48092620,449940122,-1,281872049,381004161,-1,753243694,651997028,430218395,-1,24893516,841821335,557124076,-1,-1,-1,-1,808489735,958416338,-1,363942909,939453534,-1,226987171,968575148,94413529,872841941,143258210,-1,36935441,-1,272739800,-1,-1,-1,266837360,964911170,409673895,346270663,-1,417719952,829301581,119223776,-1,781879609,829512140,778870053,400934016,-1,-1,-1,467571680,537986616,-1,818462781,710087431,32520790,-1,762130841,-1,728741764,-1,-1,167173395,652396108,138987382,815383692,297776036,965181470,746799868,-1,-1,352387574,328971531,-1,165826950,566576227,918894152,253901135,889145308,48840020,695047616,762248024,145750521,-1,403547036,-1,-1,-1,-1,137309930,849553943,244719077,267275865,-1,-1,-1,727581760,-1,978449550,130443570,872387992,-1,82618332,618446764,470363874,-1,666493446,778358142,913981817,-1,742156488,-1,19989364,834590867,917851694,188308154,-1,-1,-1,791517497,-1,980847117,548730196,455457071,-1,30915216,69614427,-1,888517443,-1,-1,313313172,767092020,-1,374437771,549653026,411168930,778415947,998374051,453596322,11446014,78870965,-1,344266928,-1,-1,-1,739461972,609539054,792507348,-1,-1,365573341,-1,387134621,251111283,704929997,578499144,693759850,170624414,-1,624815799,-1,244594629,6049709,-1,-1,387851486,450872304,496899531,634478692,-1,699393281,951715730,933284361,98098042,14615095,964971937,-1,304716861,229665556,543730582,893469238,806615498,872211005,684946878,-1,673707914,-1,-1,375627409,819154681,654786361,15576142,-1,311391778,189836540,870804143,699423061,-1,583737001,-1,241475917,732061342,567253597,661838365,866645114,430323553,154796086,-1,189784691,174394032,114159743,478022016,330404611,73549469,-1,308979051,421166096,317183020,339105558,-1,93521064,609244450,355617488,-1,14085242,-1,20759826,717610188,430770693,905116887,27512232,495545654,884410206,96389628,528197728,715476379,333709635,-1,784295755,-1,-1,-1,582701548,150272502,-1,871113097,166567128,-1,171762905,770029742,-1,798345104,-1,872967987,308654241,615760630,559248487,784625273,-1,-1,-1,-1,-1,-1,974835182,843017809,334413963,-1,74587387,-1,-1,141097209,289200037,213357258,531161898,964558982,576839873,749049650,165825689,-1,527009012,436555289,277727215,-1,22119505,705438046,134555802,150998933,478197793,-1,638976847,183045189,248686350,141697721,-1,534374715,-1,87234991,-1,150011623,327497275,-1,391661143,424391431,615975771,186908907,146342206,636367559,29094425,548130454,-1,766218267,-1,94009280,-1,-1,596939754,162410430,698175250,834901779,561388032,-1,-1,979440601,963502699,-1,-1,377611218,-1,705154416,610019516,666295863,264299160,-1,-1,-1,-1,558105485,239522707,-1,-1,415873013,564579447,-1,602884928,-1,337955270,-1,-1,200239968,-1,163669228,-1,-1,138699410,363692612,961633031,-1,131735428,682232798,936788938,-1,955078709,-1,800963546,943502673,587689440,858456176,-1,179398600,650882988,916996609,156323574,267004185,135485910,-1,597423858,489671458,73298982,335206760,574035057,-1,916277374,-1,274249810,627520890,884141042,258176519,149017011,140653733,379602908,637015033,445504604,937141159,360990698,910058220,916738215,931681705,-1,670672292,384969755,231344031,-1,-1,213082483,527038561,808043907,-1,-1,948312821,151581398,-1,438101769,493074597,428308743,174108568,9715073,321622541,-1,934763531,-1,189011808,-1,-1,637037039,115685632,760069608,-1,83524772,71637709,893032989,772892291,54247940,-1,213948742,596444019,111296680,362276617,195903849,96036709,127925360,70289765,-1,31098327,-1,237171893,-1,765399773,573770790,33602771,-1,934831593,569821162,446014501,841565298,461398700,909168691,-1,-1,719951126,-1,563557318,-1,722818749,937221807,70598689,-1,909563797,612723570,388075509,415021259,308227049,-1,254944457,681387701,-1,-1,-1,858531470,204643228,705109961,290337074,752951651,336314235,34172024,-1,767139349,649525338,887347500,-1,551559093,-1,620365875,36773022,450572985,-1,787552017,903305123,-1,-1,247212883,-1,956211407,922665504,510391875,463489812,964441574,291776290,391469176,-1,903372923,729247887,472760668,-1,413509998,-1,-1,110850137,-1,993342007,544912448,958423854,860368155,517079303,-1,330141399,-1,809200700,704222961,-1,999460748,289612862,21898560,3154982,883838465,36095896,106118091,618766547,-1,-1,806147207,961254926,-1,-1,427659889,-1,603082348,307418908,529978377,-1,614982087,-1,498893817,-1,615879499,688304523,589164391,158261617,227507678,721699449,-1,-1,82229735,815564528,-1,933540439,-1,150265674,-1,92953229,454988188,67250523,782277867,-1,-1,445331084,723332132,348934796,347797129,650435280,81802128,330778031,270268684,-1,-1,943080928,549011944,488333257,776323847,760627559,228067378,109878025,717720217,13082769,825971318,371362384,961217189,634299327,-1,24114342,842608565,298921438,509971291,-1,769712981,935263018,249654222,830518422,-1,992142734,369274225,547183563,-1,966738456,718089890,996424916,-1,199425792,-1,-1,901927641,471361230,292880239,272618589,613816465,624742951,180588,949410400,-1,181840307,300087090,-1,749121851,404441409,430932650,249744410,410222150,831452303,556998747,-1,-1,993611979,963134383,737939324,114407405,-1,124500966,-1,667296479,-1,-1,-1,335537903,123450775,493776821,632890541,396492455,361798651,91439383,384254861,358392325,547578476,-1,-1,916475853,135075327,373534656,178793816,570258919,238800517,922756736,584412807,38623730,-1,-1,-1,355338721,735940021,643218886,786055759,673730751,77940862,55613321,-1,691452659,-1,921857784,405163823,695282172,589475341,935700148,944110531,-1,505947730,691303791,719353131,1169133,634863507,994182556,611208864,482422340,633905508,910991602,-1,377735946,830838552,821293997,286070124,76300287,-1,-1,-1,-1,-1,250693453,539601244,463656834,-1,839311042,518533529,729443943,576330095,245854167,-1,39970392,520913626,939210733,680764342,-1,417527363,45670794,-1,130268450,158685601,106500340,-1,188436970,605813071,520436720,425270477,60787715,878415843,297109703,-1,-1,51257426,791838634,-1,56615649,601421063,886668794,-1,226617367,30446093,-1,-1,84117199,336428382,476425302,806276603,635269061,976711131,393512269,398576752,987047775,-1,119124753,6453745,493464678,816783271,-1,438635213,503999872,658139834,499887584,-1,260436443,-1,-1,640806241,663688446,540610780,-1,-1,-1,783727675,966635981,642211850,623910461,519183197,-1,-1,-1,575737187,-1,-1,276535326,100012586,-1,871121016,673702333,888870759,64322621,-1,719148956,-1,845628203,762674576,-1,-1,901188001,504316895,762120716,652040307,77745376,406637575,228304280,-1,833035194,255798696,904594717,541330552,112780532,331738,651396462,43943640,916275643,763142538,-1,960570886,444218311,-1,853813495,19618184,360928061,304091445,22533429,-1,404749660,-1,457586273,182379357,71962566,-1,459846456,641679383,449662645,-1,-1,203887931,18400948,-1,431952138,-1,18537168,514762811,-1,-1,696093938,945379534,825994408,595334828,-1,163906539,766340976,-1,953889250,811192495,489602600,197443736,935687297,-1,804371038,715514228,44012038,-1,-1,117134207,69182071,-1,900285587,-1,115394421,-1,-1,623366948,623663456,595135492,808511325,157894422,732682524,-1,255499422,773884505,525667000,187143586,975222211,-1,-1,653270358,343023485,995711724,490632655,692368994,768132063,237513651,-1,168580923,315679629,57166166,449509544,816509785,267406732,760825636,720773152,421047136,461411850,-1,499793835,-1,611069179,661667882,367177361,66048474,899574872,542341410,620198256,446050244,769855260,920774364,672305655,1514192,966877338,345807458,355529632,-1,-1,-1,245616733,-1,211068090,-1,-1,772230515,926139307,749383737,-1,579589659,312906500,25337042,784079498,-1,694855289,345395175,828455339,487023178,907260979,-1,772936432,515338158,466148012,-1,446511380,20558700,-1,84692344,484566570,165492861,846817533,-1,860685168,-1,793258314,258399503,803238343,107078480,695725937,-1,-1,75667888,-1,75036491,-1,596209362,10404077,-1,-1,305314157,852238042,483207092,-1,204604924,45742555,707967547,148028882,234977479,414070853,-1,5578475,-1,163154795,-1,364329660,76847014,-1,-1,853557745,-1,-1,-1,835929852,434823903,361389262,89392432,264761866,-1,769680436,617165267,171459090,633961497,-1,-1,-1,605793972,220388877,825060012,541438434,410931234,808536960,-1,852489797,341263213,-1,-1,183041313,865052910,381888154,197969588,-1,731816147,338449336,259349975,-1,-1,-1,-1,777717602,122628932,656804350,167592817,-1,66645470,306410703,-1,429585331,810944080,-1,-1,421056405,507224213,96651934,514551331,688901027,585862577,137549826,101328512,733344452,174310820,938287338,256677453,-1,-1,989393480,451893419,6053335,130396429,686281283,793081877,823024184,702016584,-1,288524105,195141907,-1,694905210,189564302,-1,831081414,519344894,560077800,-1,711010325,718762421,710980314,-1,711430322,330252631,224223808,-1,355844343,988775742,-1,-1,908016575,855254324,-1,103003064,957666870,-1,639053746,-1,155840485,910690994,533301654,-1,746064844,423246565,291214962,192952843,954239872,222357876,-1,563363441,605660013,-1,49342349,248604585,784007996,216698593,-1,443459834,869646186,351306900,385383695,752499355,-1,517933717,333174429,590270815,-1,728600099,-1,939812874,-1,-1,118214781,5243694,-1,-1,675772346,909651951,681587207,28654889,744722544,-1,-1,-1,361634698,865826953,477389851,593115657,686235483,790029130,-1,140401395,-1,350999033,184584659,941446749,644205638,287644265,554713547,7643158,68172488,-1,96941472,262623493,405241405,-1,592076349,928434880,277635200,292927370,738447700,573204323,-1,292869727,-1,536623112,359805849,264633442,253022804,512765297,-1,-1,286988929,273746976,215369189,889610026,559293164,871681754,76400412,513323191,575496963,935990929,851785218,-1,716622021,-1,-1,999981484,831764258,728798211,233250896,915670035,845886062,-1,105718903,125938540,108732085,-1,545596935,-1,588698720,-1,3829167,993220180,226432413,632562881,729177639,-1,312668559,344204821,-1,4095221,374424030,258150489,282013192,-1,-1,-1,-1,873193308,-1,474841217,266264914,-1,27494772,-1,928736673,-1,583922291,74888170,143541124,426419945,434136964,863329131,-1,353569746,309172512,762672712,143306245,987645983,563546102,485066174,970507048,-1,534481921,-1,303005476,393848803,479891858,375217967,664046618,385297206,577924652,433032491,619668772,-1,166713256,818680139,523978845,94530436,610638692,-1,144724677,-1,43730478,-1,-1,-1,258855916,975177668,910525224,740768636,69453109,-1,602880575,-1,617432809,808081830,149722759,124901451,725801099,791750896,62566280,-1,581461879,794118445,812360105,544764831,739296786,335413379,-1,-1,-1,280873233,76916490,-1,653705316,999528684,583467727,166823279,701525190,-1,711659241,-1,-1,520803345,-1,337831663,-1,466797050,796914943,530442786,687659186,235420562,361562313,-1,504699346,83037422,-1,591870158,-1,545570077,538163910,487786580,591554303,374743697,178540775,261636029,-1,-1,-1,-1,915486247,-1,758283019,131371448,-1,-1,704747483,890159337,953021669,-1,624806385,659158712,-1,300706112,563280824,-1,44280269,748925361,-1,312509884,42871623,-1,589886169,996536372,252909913,357887006,-1,95888404,427136269,-1,320896956,-1,36728260,889689833,907395033,-1,778221336,112542808,-1,-1,-1,-1,334732863,128339856,869573282,600917749,87748328,-1,-1,553745935,-1,-1,787268029,74607435,585485050,147119283,229795866,835285621,972128853,-1,-1,935968338,756776486,40264678,798333073,131167823,74758740,384853274,358391258,113390794,236387702,638946236,-1,389328305,180887566,-1,-1,400668133,-1,-1,704961360,157083242,-1,-1,511571983,321195931,-1,182721195,139585040,762782419,498233794,-1,642781493,-1,654066927,268394412,87120896,566560081,-1,624856103,-1,770250658,740931651,-1,989522574,575916733,372699931,403927877,493846713,496757529,-1,-1,669487898,-1,434992709,878917916,-1,861923176,-1,876446201,-1,653748121,-1,-1,803586959,-1,985179420,284732126,656543384,535624589,-1,973270861,249036140,793948761,-1,371713482,358897394,-1,-1,451784095,33366644,632000064,-1,831464415,637066032,468152811,576162730,-1,765542464,197367813,671607546,688158093,973456591,-1,418118768,979796721,176313866,-1,57405290,401544711,465740943,-1,816991660,314492624,178799971,-1,414041814,-1,824228259,262309043,887074010,255977416,-1,159808859,405927007,84565906,-1,299466208,329631898,-1,766827912,616350734,444403957,663790392,435737308,580285435,219977667,-1,297597630,42550253,281767172,839542164,936155818,-1,-1,-1,37225610,-1,248686554,139159024,-1,-1,665690770,658136066,-1,-1,564595930,147625921,-1,-1,46694630,-1,-1,726432965,199338927,-1,691679572,42435234,543472150,-1,220762394,506933446,790254463,980312569,351919370,-1,804752196,-1,419374312,994063846,631764227,344774356,68270788,473713317,1737883,648153490,-1,467259144,621984497,-1,887943894,365360507,-1,-1,-1,-1,391198017,699391697,-1,535048518,-1,-1,-1,312521776,-1,933925793,309719684,543842662,801198404,29567712,-1,981283767,35379414,197819317,616838560,-1,677646454,965421987,894307441,655637080,206036527,-1,481745911,-1,470227832,49788794,692855852,-1,-1,463181365,997337449,562392775,746154047,734547100,408972764,423054814,908366648,221431185,-1,754528645,948498367,-1,253487458,-1,750993957,906049374,-1,178057806,130908526,207732519,-1,749803265,560862666,560003362,-1,897931364,-1,426892931,642815404,555837528,-1,864151866,558846393,317405232,737902006,402041581,79685648,-1,322959753,-1,243656336,443555661,-1,491443699,126728290,-1,636279323,-1,133391230,512909486,328174786,-1,546371287,436310215,430654241,107313380,127029161,349678470,-1,104444818,152022558,580000580,650082639,333195945,729831847,-1,506405240,47451072,429770760,865323977,233445823,-1,154310917,652715634,750173993,660071025,-1,90844238,674063851,955415082,493414658,292935773,-1,-1,999279260,-1,431294298,-1,101925923,838541909,293240109,902155388,414580981,743150752,549198676,350199603,-1,956394040,880460802,744165092,-1,95758889,-1,468934606,658842656,-1,-1,140528994,625631655,-1,-1,-1,751340464,766070106,302870740,-1,332984066,785548323,96560726,-1,-1,898554865,968406010,626976276,-1,-1,678135245,669356529,746274787,-1,391858734,458064596,-1,172605739,885708591,415363297,349926752,-1,415778603,731735305,112693381,192958534,-1,-1,-1,565860840,704108047,908534935,516890628,179537229,561203405,423475682,697892213,32178748,82159059,45059740,407437643,-1,-1,-1,957867263,-1,698874919,-1,298129937,-1,-1,860869879,463425633,62408123,545493866,341133815,861678202,230457364,681974778,257971239,254942643,514896308,-1,763146645,791009286,497078805,677287841,266488265,-1,222679268,-1,441758085,-1,815831013,-1,229378878,-1,-1,274464101,96307504,-1,339454798,455363159,268062544,357751379,511392167,655381582,468584656,133686148,586349618,-1,520286986,302022740,264649108,88326239,19775643,130564730,-1,325927981,281202881,-1,22756843,427186739,771816077,-1,203254748,-1,-1,-1,861550355,87050900,-1,330151316,288827472,288840918,-1,-1,685000997,-1,-1,202706850,826381144,995100557,818436003,274759109,728652849,-1,323414450,830594627,-1,-1,527911204,123583446,-1,481606685,725866408,715759615,400331545,-1,706315069,845296107,597468398,-1,361733905,124618751,563692787,201740616,795995319,-1,678712117,174290779,760936904,-1,501602489,218892690,234318317,-1,803792746,-1,143121436,451768559,886238597,199820265,979509369,805349709,-1,43269560,-1,-1,810522987,558301519,329767055,-1,420147053,686863141,468345997,-1,-1,723045049,-1,759609662,-1,638077765,506159286,808786995,-1,391090269,650256354,151052945,543217355,-1,582471469,-1,148843489,-1,861986260,-1,988393879,-1,746258626,5807489,-1,-1,341436706,262750349,486473032,215508178,-1,904451371,984777685,136851847,128185228,-1,-1,-1,685366554,221866105,-1,948927089,988517772,412120016,917611069,106140563,-1,-1,473250109,697621931,-1,-1,446172600,-1,700623758,927932017,988047318,629183150,218752110,276277069,555892955,-1,-1,901917415,484064698,872746064,774686274,128638212,548213286,137585735,729565336,549235501,749208858,-1,-1,-1,-1,876251480,225448494,232333694,-1,-1,-1,356207538,-1,-1,666765753,853709335,629520839,9977999,-1,347952231,842342373,263634048,114471253,301469388,946571816,525479594,485690876,863002190,385478528,819356476,34830335,889684904,364497067,-1,669160219,959808030,513734489,472976856,952865064,245237102,52312099,671771346,-1,-1,936391264,261807135,183180926,315314153,-1,776886892,782155069,162927268,456127581,453472538,999538334,483151514,-1,230783274,393650388,-1,-1,309501785,254948291,609106487,-1,315549670,-1,-1,-1,891237443,-1,302557629,-1,607350089,322887530,596647448,729002118,702223386,981987385,33536432,-1,-1,508144414,-1,990304004,560138178,-1,99574178,-1,798004856,324064337,491668482,182092055,-1,181824174,-1,-1,-1,176830700,165884945,-1,295793902,526594823,729155795,413021763,880909762,-1,548199151,603879468,-1,3236422,531693208,100060793,368959156,598753744,898373488,770716126,957570469,-1,934753362,117075346,-1,984063222,71661652,-1,-1,442028665,691812743,-1,-1,65415424,799596288,707181804,-1,-1,-1,414697738,-1,924894915,273713923,639315965,424228820,218765460,42278577,989130867,822643898,386432856,425485594,914557508,328535570,-1,389413071,647395653,670985943,376273463,217963304,797912923,-1,-1,839706859,526181500,577276536,219274997,-1,277191424,691189215,321509529,-1,-1,-1,238643897,-1,-1,829308623,-1,944470713,-1,438192383,876468631,256362629,-1,120934677,700880721,656392175,-1,117034470,-1,462240356,712652001,192378373,-1,443751406,-1,-1,609462902,680925226,563386728,632178487,63470897,691452226,242327477,735906432,107588900,-1,366132907,916077768,858868680,75938018,-1,362972535,840640194,64959918,647339404,554433497,-1,-1,-1,-1,20471517,42705629,869105706,6286717,-1,227034575,-1,712559913,184266636,127047177,-1,944001388,739345627,52451792,692281976,210853891,845091235,752226700,392614178,-1,39605162,-1,891614500,299218382,-1,354629962,-1,-1,26090095,599190785,-1,686314028,824928884,284455863,816893020,340670035,715884336,287375417,943041129,859876948,859326769,-1,-1,503934313,713603460,815932531,-1,154793641,873891377,216210124,-1,-1,919602116,375101825,-1,-1,226628095,130646418,769792442,-1,410442324,776033241,-1,-1,445202767,285395530,964084140,591111022,642481099,-1,64323560,996017532,642986691,435817131,398546466,351752901,341822890,74109017,-1,298391656,-1,-1,697095515,-1,-1,388795077,-1,865046296,-1,952352000,-1,855204089,-1,343846935,-1,800299846,276209017,-1,939887484,389579669,-1,107246660,271250474,849512811,223380297,694270289,880510609,717452895,850164857,62312027,-1,254247465,809547818,-1,755318256,626502874,366884382,-1,569878250,484558244,311272134,496049668,-1,900132383,543479308,-1,-1,428648633,-1,-1,311227371,-1,-1,-1,820075533,135322495,-1,235510643,162702443,-1,782507921,228280723,876635056,-1,656051459,357313049,361529316,942765578,416140568,564010770,-1,560510472,600691625,-1,-1,336723635,115775593,786914557,646990400,-1,425197321,64642360,309210808,-1,986815754,-1,813613297,26297967,242743232,37963550,146098945,-1,945489457,366497234,904227163,810435380,-1,166736599,76512515,234839942,335132728,222080152,424977963,284535196,382083682,803185773,-1,908247540,344310811,-1,-1,75021208,449586576,-1,-1,332207562,245318433,538178849,334200627,221617417,908183243,76949166,-1,-1,87582509,977238093,-1,621940177,590766444,-1,-1,954567173,165455164,386909196,404424979,802835957,902379454,49046262,285667790,-1,188633380,402299769,454252183,936306260,-1,995512416,369619883,750079734,357859136,331918490,725496804,13263265,-1,-1,164272127,867787220,955365026,735782043,483554702,-1,586785796,-1,-1,797315952,996960223,401988405,719471598,896239675,459451150,-1,165861879,201527199,-1,-1,384710933,523704285,-1,896665742,384215020,673419672,-1,828008766,166879788,263926464,-1,-1,134601160,106206435,-1,788561830,290782874,646239073,582365836,860452685,-1,781333585,315306133,225979061,109573147,212564846,927334083,334541200,280896999,64800683,959741293,-1,269574183,383513483,-1,-1,-1,856909992,555862498,121280075,481553151,196489076,416476972,-1,182464154,569228895,224446123,194396922,77619117,850138209,372126697,920090678,788678516,-1,746061185,971473703,-1,72113402,484471417,330683908,505255326,-1,-1,302764007,-1,767148059,752901992,-1,-1,807717516,746369694,314313055,633873692,926784079,947043173,-1,355757123,967332723,319219390,717878192,60048691,89289547,832162283,113653815,82894025,411304189,464112778,896811576,623480651,-1,68655798,553439034,14693044,-1,404431860,-1,446318192,-1,971299532,544397487,783723003,-1,724282624,278735136,765421956,98860444,583673257,444496161,-1,-1,708527551,-1,559111134,115221241,387005902,492350173,579125804,145886422,-1,-1,380941249,385432660,-1,101052471,-1,419949273,-1,145275815,231408017,553401091,225298307,584155668,764561940,-1,273508856,544180574,987418693,659522967,468281014,622867142,-1,237947226,434514243,530532550,779609607,-1,-1,762444439,77638682,364154388,857082902,680964961,806858941,-1,558835883,736594030,-1,-1,3741120,505157689,227383904,-1,-1,101289668,400682741,870543042,561201960,-1,687282843,510720593,771729014,675523001,-1,-1,-1,-1,623668146,-1,-1,-1,172670205,-1,-1,-1,603463763,487440461,-1,-1,367603657,-1,-1,181765954,-1,555604705,247339093,-1,892198862,105675008,592049987,648282062,100489171,791227317,615304826,541405390,410495159,187438893,855652033,363174563,-1,331766442,66606385,-1,695310178,-1,900717594,-1,-1,640496666,-1,395492001,342329302,7280887,549450631,845184728,-1,-1,-1,500626622,824163571,-1,703311653,-1,210829893,2978932,637126607,-1,-1,36324531,253087628,359779503,551235053,-1,949252450,635722420,933790656,296714851,989686582,633150066,82784607,229196942,188522669,583761509,175913565,-1,540016376,420849193,213047306,979119487,185912477,146031571,953729960,484661549,270494706,975725534,326993262,915950634,405910817,969390205,-1,906252117,-1,104090491,513523757,65964710,354316691,-1,548221963,-1,375521853,923999415,824906354,123034711,722271811,384365385,368109416,313868771,602370304,369281470,295778715,142667216,94693677,684860397,97271139,193665513,-1,108767493,915201054,961306618,537897650,767463079,-1,-1,346130721,732647698,622728204,507526987,611701846,-1,-1,920320684,762744879,534281915,458715152,274289700,599819997,-1,284281500,-1,10033890,-1,218867621,746734206,437047872,121321022,782156045,619588532,-1,832310737,-1,834616849,343255590,455912267,921665652,-1,41641819,921238895,-1,-1,-1,-1,890271246,-1,-1,-1,742946516,648656370,762784086,43570265,-1,395884916,784025047,165179150,-1,-1,38888891,124022709,-1,982201269,340186795,-1,105946453,833459313,145126607,453001866,-1,286979571,405479163,-1,-1,994618021,12679223,406324971,346468154,-1,864485733,-1,-1,715003100,459581995,-1,910241309,613518898,811177451,711508746,895980983,934861654,389543811,-1,716141262,-1,4227149,663469847,-1,-1,160228754,544313348,361031707,-1,81965939,525801608,-1,-1,-1,284715854,58319835,855014844,882327050,890847766,-1,532341026,337371498,910403293,545894704,226205502,68895553,501297698,59133207,-1,-1,-1,500103159,150393493,-1,264238653,220876810,769891550,191628632,239812689,554213637,853553154,807725954,938727740,78292902,298689031,911550252,302547369,977934098,360963095,877867498,-1,-1,879730692,498618967,243956970,924879525,-1,529644019,356499556,-1,719189778,339112076,23410237,389135179,-1,-1,-1,602056925,845017020,250056203,-1,-1,494051139,-1,720236436,66852841,-1,443430871,566064313,764506013,443151872,-1,819978255,603103363,475261569,369409301,640099608,628439060,-1,-1,721935387,-1,729843611,-1,691260790,-1,-1,-1,526231609,782767081,-1,-1,419891042,-1,-1,-1,586557602,291945871,291389761,991616606,499078838,919326862,507486954,432002001,606473293,16662692,808131335,-1,563530044,-1,225970652,-1,884922218,193223961,-1,-1,-1,-1,-1,-1,-1,714238597,105145438,247297541,-1,968306157,-1,-1,453118692,870496458,714863085,821704539,141208025,846850669,775875425,547195419,-1,912588673,813082572,-1,637471838,-1,749808831,984732071,813157429,469398817,3033861,350932900,-1,-1,-1,185626955,390098431,624468002,872311678,606850685,-1,583318159,-1,283629786,-1,-1,311330004,-1,867660620,483098134,993944774,-1,348410350,148789984,-1,-1,835282265,305382841,142539910,234949786,759296393,731749357,941704535,730749196,-1,537950139,119761668,587310822,399292596,243006501,475207216,-1,-1,289256348,267847373,694920316,978560537,433153378,-1,-1,163935530,910675471,340960353,323276819,-1,-1,893538749,296903572,194425390,790631181,-1,860251041,285229680,-1,831376261,-1,-1,802956100,646913075,620090594,-1,-1,127311174,510366406,-1,789058919,322024083,596741162,-1,-1,114543072,-1,568170478,-1,653239072,701440393,784679569,937308149,935579485,235765089,383660243,-1,307918605,470586298,-1,860552494,-1,-1,913437204,-1,61607616,811784630,866122002,136233069,868703301,531769127,849016072,45085940,726343866,700501183,302818149,560880225,441992272,823416522,-1,71025690,32138764,433137196,-1,-1,419267006,604378283,752945745,-1,406146494,-1,860751305,49917207,82494080,-1,768307310,-1,648942417,561032151,713918109,141728390,285378143,726230495,-1,-1,527503990,168567,61336306,380717568,756188541,975117997,511792426,-1,-1,-1,900040643,-1,132086421,-1,320801163,107126043,924211295,417680286,59596871,823331914,458108887,746310381,-1,623518345,81069464,388593134,487325521,-1,149335084,-1,-1,145661324,-1,963961158,218420656,975030529,709068560,268575866,919335405,-1,-1,700600252,-1,367856144,671954621,-1,39708757,591767089,730386298,295846801,255266151,-1,338525866,515331320,667073206,654315168,-1,230831068,952288986,559266648,-1,148148936,-1,194658905,-1,122905228,201408432,-1,470343038,286161957,994619518,640140267,761441500,734104065,547949612,384115711,80461400,716420380,-1,701537855,582614696,-1,451570742,299080812,411439641,431310682,922113201,431993973,430085206,-1,134839208,130201426,-1,803850548,257199283,-1,-1,865225463,239211926,-1,-1,130731650,761183622,829548976,-1,371393489,-1,817310992,-1,146256110,-1,865530022,741174727,137729721,-1,-1,179020970,-1,570401839,430619727,206139699,396468941,-1,188010318,-1,319179407,964725871,888767129,43759377,356766578,-1,200639967,471675745,21851224,-1,377052942,544019583,328238001,-1,688851418,931846989,549442811,-1,293443445,-1,871541811,-1,621504740,234962208,225189009,724460018,177126760,744802,110875589,447331066,686905586,-1,-1,377623044,999604112,925551641,-1,-1,-1,121636310,917442815,548414757,629805272,558558593,418501840,812813214,925446521,909145874,680234569,854190733,750520171,162862076,41773175,-1,911571772,709840491,316220027,337704294,847531164,-1,-1,190739689,922727683,-1,66676911,584998905,241368102,300571557,22506964,-1,597344716,862910362,396887855,-1,-1,-1,-1,113582019,42438735,-1,272881114,804433672,-1,185081379,736521118,-1,80898452,895919035,-1,754160506,384584236,569012969,303689565,93073351,306048909,503731897,-1,-1,144840853,506250781,811066820,423804303,-1,758278078,124991433,-1,982529986,-1,-1,-1,303555686,933546388,-1,277900389,497288689,653175124,341181534,711574332,-1,709896906,-1,-1,644894196,86539657,606181527,455481135,726769959,801880523,121505528,289592624,-1,-1,976951605,-1,914384967,979323562,-1,428409106,762616261,947411616,-1,766422134,689042364,793196738,357254809,213299079,33604327,-1,107320868,583133943,421337859,795434467,-1,871710347,562533861,836164132,37344131,-1,429798939,168957236,969210800,291925261,664075473,583871989,309807481,-1,173936855,802735228,-1,950289009,826360201,915870869,190250095,985430983,586931596,507664562,41628000,55826291,910192126,501054864,338122403,184435666,-1,-1,33764682,41874979,186121695,-1,500671030,618443235,-1,394589118,50626190,383759250,960428083,-1,226374808,445100200,6685881,178680222,910901532,285720462,-1,598181641,-1,862066718,841938932,517914407,-1,-1,47538854,-1,-1,-1,321020200,767221178,368223719,-1,912594266,879878161,332288292,50720831,22374437,36790058,677196648,-1,100860634,199839264,476925599,-1,975944782,777354814,327368956,-1,-1,-1,182294865,890095117,258335225,762775135,490049212,808533877,365056415,437382719,-1,188177510,240344495,611258262,604895835,-1,983687313,619909188,-1,277348985,709987719,-1,631599012,699249380,-1,256799222,-1,355242664,705583860,226856355,-1,433521398,-1,114904241,302149379,748442565,-1,-1,62635669,-1,503466083,253802068,484242141,136079314,-1,171630943,54281416,-1,346171657,433286353,-1,653787829,-1,490691890,847503244,445296446,957177923,144662977,-1,237710912,-1,-1,24429866,1509927,70871530,729018674,-1,405870792,-1,862600163,463546720,26062522,890376725,557316140,652552481,340770055,254517953,845308536,-1,-1,434922011,340220845,-1,263953775,-1,-1,-1,-1,-1,-1,697235005,104150330,748729364,-1,300360714,624858706,-1,922868879,-1,854655592,-1,872029470,660609822,910090852,761226932,-1,210051899,-1,-1,-1,-1,-1,-1,378485207,32057694,14524566,-1,-1,-1,-1,707228124,193924810,392291261,426431731,705911281,-1,592166213,282058253,105150699,-1,964356019,-1,153431289,748324611,576183431,385871201,45566060,-1,921558391,688522170,219838445,157255472,587162612,520951190,-1,252266594,454168085,-1,-1,-1,239325495,467510720,777840361,-1,-1,799628736,133928658,834800840,42177707,80335786,526844640,998457144,765602616,52506741,648943351,751291161,-1,-1,973753044,972139571,-1,-1,-1,-1,-1,183948719,225334395,346008805,339514063,909342396,-1,620238000,669350689,731007236,-1,457836460,-1,970233432,739006112,649944831,164867721,177270552,320082543,930998563,830889445,519524256,-1,459226894,215726634,336356247,935880973,952139077,394521728,383356486,-1,-1,268493186,-1,989739160,143749233,255726706,-1,-1,391912511,710833206,377260856,-1,949624177,788435503,-1,421636901,707799315,-1,474008748,721324195,262754343,-1,112876106,421582074,-1,499967848,961076879,-1,559000216,80266558,476793283,992034787,563932118,-1,555401443,26523948,949815508,581367963,680452427,-1,567069661,72989491,698515317,-1,254320160,183924218,218812341,218038242,-1,796720072,541157979,151022328,920353707,122979737,289070592,677175367,942099686,849060840,-1,489016830,349751379,866498183,854490488,840286982,881888699,-1,372863989,893607480,756270363,-1,-1,558859464,959570969,188743508,54200129,-1,128154479,493020610,-1,932249404,-1,352990821,752104794,109678800,812205449,99732268,-1,93436315,-1,645291357,704037108,-1,516144501,783073061,910482782,252085704,877586502,318366525,111251055,-1,-1,767943264,708614046,63074228,48909014,-1,565007527,678551668,288592735,-1,-1,-1,24908607,973923609,181305117,107772529,104992110,734891825,656152153,994380614,184715047,-1,-1,-1,251247181,-1,624934224,415243404,-1,311897159,879017303,-1,330897753,-1,186859873,374511222,138299353,967136904,928565734,-1,413447583,255391404,621474083,-1,651612334,-1,267009609,-1,236285002,592131172,351739481,46717256,171888683,169108496,626091344,144812024,-1,363829926,862550429,116258322,-1,-1,508992919,-1,756670702,725810703,-1,769036702,715938550,85871508,-1,379983844,96628402,891689618,777250812,22823007,861782187,387519740,725466616,623558449,442100509,469610939,-1,436591367,492222750,102804079,331134232,870308808,-1,-1,-1,793600480,878905933,389827834,953192944,999657378,25704359,25103721,472627710,859651012,341426228,624350760,681967294,190735030,-1,-1,-1,618431223,611440633,28318921,607065179,-1,304824890,-1,523206974,250448279,61427810,226524898,996564633,-1,747513997,908642987,791595067,589919948,730121800,857632624,-1,425971770,129657048,604769066,947509644,258354978,372748843,-1,382572742,-1,149895089,-1,399829845,549577792,698466387,707813148,635121264,225009648,928759634,814474209,915202002,-1,560959058,874593798,-1,-1,398391213,927392913,458421017,-1,-1,893257531,-1,-1,101687530,208435468,-1,458386657,333618869,768671206,608702995,805811107,-1,475398332,897127840,-1,930120265,476677019,-1,-1,129146897,165451004,396568947,647067170,-1,175955271,-1,226419550,11098964,-1,435702119,437408027,-1,582173426,-1,-1,84992101,190192944,483164041,807947151,24927777,672492600,83768085,-1,426659252,770731465,493456091,906448542,200689373,121582591,346333197,-1,-1,483851323,563988900,-1,31229264,994634161,401559374,701367493,357562840,-1,936628609,437870782,207793315,46620313,655426747,110851129,-1,493560913,-1,-1,440123973,388014998,-1,541630164,-1,-1,740019548,122570901,-1,-1,-1,848804566,11207748,234922267,304231397,463776663,871282513,637924084,319899888,377864792,958753501,-1,610409236,353247014,-1,679218376,-1,-1,-1,692305140,-1,274108247,113571382,321253738,-1,865674563,387049406,-1,472849974,432842923,380005087,123765425,-1,-1,751714999,832852108,237601881,527262274,589920372,788614573,961604801,752989889,-1,884926219,842125638,190738246,294501437,-1,86585942,44021182,695003940,409086355,-1,55252796,-1,455202438,806315913,528419092,388111691,411836202,558822836,907535350,952903693,-1,433936859,831765997,-1,880366598,3670978,-1,809102556,-1,-1,500889665,-1,422398265,542255551,-1,-1,309238812,376040601,164797155,-1,739875207,848656221,242038040,759318261,438334748,427524686,-1,-1,-1,823339476,516337740,355141431,-1,693601059,-1,235762453,74235115,839210121,457638041,391173378,721199683,166874443,-1,914367206,854377997,897299330,503216256,904441892,27047826,-1,835511257,58318363,52217012,612088879,821385969,744833586,453591695,953609446,-1,-1,865071744,-1,315990102,295547652,-1,953088554,-1,542325012,-1,47734741,255409615,863606780,340855344,151571994,443740469,435088962,633731865,627296843,965521272,834908330,371026321,38058704,266058490,793564374,-1,634999349,592786108,916192226,411618692,456187181,533554781,-1,950612381,-1,55067838,294403384,801961440,650830314,551259776,169935008,406800627,445996327,-1,357697033,345817598,-1,666929781,702728902,42586126,987651559,333127623,-1,491822775,-1,100480633,-1,-1,-1,546673302,293832848,-1,958092689,-1,780643759,843210641,496637219,158467054,910348229,768766645,637324143,-1,602874052,291593128,-1,137356104,188910697,17184406,880956557,862623399,919616827,166773797,385511026,-1,-1,160340385,-1,614376412,923005199,934415310,-1,262029531,657120340,223942509,313334310,880195161,326678013,702162658,472059064,582488598,813731444,-1,677402305,204950992,-1,-1,125831264,102434420,105107741,-1,764182836,-1,993255947,378544821,752558378,-1,333673666,190508626,-1,442024808,896430999,132223827,800662329,476510250,-1,700046103,-1,144513133,916815648,601287768,-1,109607913,-1,380197179,135604026,219190952,580233427,-1,222564218,147847371,-1,-1,342092245,-1,361131422,-1,9453961,-1,931868197,-1,825016978,585917112,-1,-1,705444464,-1,622980527,536594254,205178443,238011272,67310196,501004753,455591137,-1,740974179,-1,-1,59687071,-1,-1,235134069,114635676,9704053,971765534,808702468,133409108,-1,925991907,2989891,-1,122249478,500794084,-1,148338466,970300507,996630795,626642390,-1,-1,196094153,-1,972343239,309272558,-1,914840914,-1,724544503,721470973,127263717,628358496,227798014,-1,795711359,880232139,-1,685709726,416576270,-1,490917695,373727080,796404994,490165462,654307518,945375671,319140464,654776811,-1,-1,989361785,-1,57476649,382244769,-1,344764926,259781743,-1,367398686,941722495,-1,716859574,234469651,991793106,224766864,118168645,697735159,-1,880279646,455037277,-1,495064242,642929095,703130434,533582480,820449271,-1,-1,745054589,-1,663225412,546349331,199321124,776808195,466019295,-1,-1,75283803,620597363,268139457,143933590,574569262,383591569,-1,-1,140990596,-1,303871344,73071924,477891671,599040599,514180911,540648214,757340826,457822222,916641920,-1,438998698,389772880,540567007,-1,-1,283445304,-1,31350554,512734607,667556319,990629409,-1,666368992,132099857,337962026,678721720,938509550,671742029,586086298,537703586,449069637,-1,27575280,-1,694201484,-1,573622020,-1,494833899,460561791,469311324,-1,596754259,-1,661717796,511446392,794900245,-1,-1,804143061,-1,910824998,-1,-1,886998122,439068677,-1,97858127,802896632,229135526,-1,806081098,231277377,743672677,-1,356359138,-1,-1,25640635,-1,-1,495641429,207979816,295999305,686868712,577092990,250072127,267228760,45572346,-1,498250251,998579393,625070163,-1,279481399,972575611,294346344,169920978,-1,967121821,28819781,-1,959495720,-1,-1,147876790,145048834,-1,-1,346781982,392672709,-1,683523495,-1,791184756,977793725,413349376,606358224,164668658,843527024,-1,193890254,323879597,284717381,716210553,403817515,-1,672279715,65101761,121194642,29690494,-1,-1,539453012,964324323,29647998,-1,858394249,-1,834503372,177250962,829447994,64562512,-1,366818781,676802583,-1,4737873,-1,-1,78090620,57504370,469037749,820542158,-1,753326015,985191799,163525387,-1,-1,-1,169153097,811594922,-1,148612155,984085392,400126111,-1,-1,605956914,-1,761520496,137929640,-1,-1,-1,-1,628671395,480236894,254109017,576055803,811072420,467211175,290778738,141844261,831529847,868981200,787001369,956226790,3758713,211882015,-1,880837991,845932499,290365747,126484501,-1,250307462,623579221,72922952,15602352,-1,-1,93888011,646201005,915930487,968534198,-1,860515664,681167266,88266,578797582,226187891,242760027,400319294,169038088,580785124,855151960,-1,571263556,774686946,798004459,474855895,630921952,739364897,-1,713441057,52359144,459899972,980096114,-1,-1,-1,852056660,707055708,18845597,320046408,355418975,264685792,779092012,-1,178298431,-1,120702590,990327125,253033357,610655631,-1,-1,227326685,222936118,461362301,113908893,381924336,484472695,-1,748907971,924016598,925592953,315910201,752206530,778858058,615855717,750378192,970247308,578955659,-1,-1,-1,-1,871077020,-1,414250035,509049104,-1,-1,302923142,717987169,979046762,-1,586084084,607095568,468772584,566969926,407315197,897303833,-1,991413254,115743323,400661033,998149142,603808028,279189100,379871662,793871735,-1,113355550,469989338,-1,-1,789959932,693850248,-1,-1,749563834,231642185,-1,-1,-1,536750198,181510227,176400034,680423055,530140474,993839762,102713359,469285172,-1,186915161,202981632,430246785,-1,310057339,-1,935863509,854197637,464418417,697264420,641034441,-1,374815906,-1,343405623,371953520,323228250,-1,858891023,541571692,733590368,275847378,155064154,124787371,232380033,256921278,483130036,-1,-1,866874354,498635728,-1,170232091,356122099,878238051,-1,581539551,737206395,-1,692051011,784409173,-1,501169664,556158014,421401222,255383217,180512533,578711164,-1,369318659,958762774,200600885,492416022,828033653,162500412,705761367,850702690,-1,505998835,-1,465824670,-1,-1,526240200,876229630,43750170,-1,603073034,313743283,-1,396931625,-1,990790220,805346157,450834523,173437140,-1,743967014,-1,704542532,-1,-1,20344090,631672984,-1,-1,-1,640688335,-1,-1,-1,-1,94117043,-1,298257619,861237508,-1,813201212,513269101,-1,-1,988238940,205249836,716367760,79558919,-1,538898623,-1,778005676,518481368,350072891,900448677,751807687,877057321,-1,935991315,278044303,428476479,235726691,440878515,538728564,-1,-1,2094075,175655611,-1,94730016,669338048,329575327,977606473,182411522,113060040,793774534,46701046,881214793,-1,446024243,512735496,506981757,-1,-1,-1,488285004,445853963,474296791,419259014,296933802,864678555,38456791,-1,270161749,221285049,777387225,-1,949078524,452478401,-1,853531800,-1,75230130,189284748,652761356,302791900,997652434,936508077,255519119,708456131,793645796,679623130,784885338,567830386,836715834,106379034,348397336,-1,-1,940352371,-1,-1,355832344,104753354,-1,473037577,552406060,229885065,-1,928608678,918848442,757788967,-1,254957628,498950557,568422776,332108148,993682358,353543804,41616693,-1,246261874,258762069,833759012,258343110,455730287,102254719,899238528,-1,-1,313676640,568570368,701438201,-1,89899222,995138977,-1,-1,377615860,-1,510481062,112668770,-1,405730371,367070698,567957370,1698413,954232937,295714336,883768372,633074325,-1,967145691,887238160,840968053,205628630,58612454,-1,486717847,963328917,783409018,501164026,-1,152730912,83860612,-1,448344046,-1,165583062,308463277,207888591,-1,874786543,854202115,506960179,84857643,642942859,932577890,-1,-1,-1,836542274,244429980,795106912,910923849,-1,467982286,732018061,407211475,908007593,540030402,-1,-1,27340431,803565160,-1,-1,-1,228004702,-1,683558407,-1,396714908,29294947,542587863,45885735,251992391,188303350,975773687,529698903,275138220,-1,-1,434129971,146770464,485087617,-1,404291867,650793963,38903234,-1,699991056,-1,495950214,578779648,170895592,457929579,-1,405374749,633120934,113590022,916381641,-1,-1,2693767,-1,506944397,208584259,46952346,-1,706792999,545136141,-1,866782805,997951643,765324470,-1,357545646,-1,948616936,386134733,150367359,751005119,-1,584033056,878814607,205068853,823251834,-1,460727826,935479328,82955536,523287615,-1,554422987,683685538,779614394,-1,11956757,82906143,443681530,867457499,-1,968326934,720287056,716056732,153769140,881365931,35153299,-1,-1,-1,665902325,-1,126225824,621669836,840037964,295110746,633536818,568363340,889776983,-1,850117135,-1,57949462,-1,-1,-1,502137800,97706734,144955332,549008265,742593217,-1,-1,78663224,-1,400355104,520636779,540602215,-1,-1,508558959,172676218,687063665,616442222,488033315,805732768,972636040,371559858,390660358,595473298,-1,-1,776168903,-1,492054551,-1,645594684,-1,-1,-1,549829365,155127187,169577759,810473055,347384976,223894844,-1,891270516,412770564,227924670,579544465,329655802,701345956,52254290,-1,664060213,-1,486838249,397136343,-1,518142604,295969665,94613518,832559533,-1,902596633,-1,26215279,159300896,321773960,922853870,7479397,806424271,802891624,597566379,-1,872876709,952406796,916684062,-1,520845741,584718625,410390843,-1,779265998,921776083,511579045,-1,152153811,607287262,-1,531660493,8699504,911274054,-1,331277718,-1,-1,-1,15068048,846407139,-1,785797668,227997011,65495105,842508304,964740426,-1,-1,889240010,-1,-1,672981042,-1,-1,-1,706684214,703007795,570594621,-1,332062876,619012240,938104087,405948802,775280111,801345189,707869959,843381984,-1,837202105,819419249,673749481,991574095,316705879,928282733,-1,699234863,21403237,317076802,-1,-1,913891167,298622352,549913596,-1,822351723,516732835,926492175,93682104,460776474,620161656,993847487,997450600,-1,26241534,-1,682922847,374210028,-1,292096790,917054755,-1,640889091,386252020,179718582,-1,114579153,-1,968305862,-1,700099841,270983865,539211628,-1,518121114,288747614,319159459,731417718,150608752,-1,97677771,-1,690307992,-1,-1,-1,804631210,422098905,197409611,81348189,-1,321234387,625209119,465955647,-1,211382884,-1,325333251,-1,-1,-1,104585025,860966071,602987448,789982090,409997632,-1,618460102,741154980,-1,290376054,972773110,-1,945559991,535494114,-1,-1,124084144,-1,432825030,-1,263463925,657779819,757668209,119282312,72269619,152283005,-1,227025109,419560606,-1,985631877,61524043,47743049,809804860,112895780,750121408,-1,-1,-1,580060123,296486916,-1,804313538,666114629,804510159,997157271,752831967,765754657,-1,889520562,587731445,686571653,-1,-1,-1,506645365,169030465,949782543,-1,580629210,687528432,-1,-1,238827347,-1,300425355,-1,32422302,46361192,162650571,-1,950333135,54066643,24121244,-1,623161769,178854846,963660724,-1,153397891,11475900,-1,-1,705430799,937459857,-1,727815995,-1,237253063,857930873,869663124,554078296,911518632,-1,50472621,294805414,15614368,187116358,-1,224931428,698726534,357529508,-1,202187284,870131540,-1,473681901,-1,-1,600103112,457207888,-1,133605433,-1,352089217,828999844,779884845,174091360,-1,165339043,660643430,668724072,253031546,125385285,-1,72849961,534270614,570951157,-1,433600250,784505723,-1,414908061,146569264,556676285,-1,156492610,156731555,187466207,825438298,-1,54756990,821215142,903710708,327059112,236636563,-1,237932215,-1,286544201,375178331,961376374,997082529,372977885,790015175,607974990,494643279,-1,134908481,944391901,958996221,-1,378687510,71133740,480965695,860772052,-1,399004824,-1,187753138,-1,445032210,833409791,245844334,889864685,411608582,561798863,238073446,-1,781827649,257909618,437539830,-1,-1,746373895,-1,384314748,160273553,215793583,357501687,-1,294793617,-1,216663956,931461315,77161484,301957898,975897048,-1,64155356,-1,-1,175354535,296626804,-1,109343907,-1,-1,218084977,-1,-1,934074031,465047284,958184742,455982935,100237925,864586176,-1,-1,196029267,794580786,690025616,389213372,-1,288019566,947689005,129387616,647963254,168438375,815397243,757450385,780289890,804388871,632752226,318973188,586365178,-1,-1,-1,880488290,998333096,657823731,-1,696253117,-1,642571116,629452788,237751458,89094462,-1,792508027,807318223,332551522,180830171,245629505,795285910,628771210,-1,-1,440784134,461280810,-1,333479473,-1,598376916,-1,890775729,327314152,-1,-1,288924796,-1,-1,-1,-1,728690719,986766874,52368488,-1,477232296,-1,959454583,-1,609645163,868363053,524469629,923531569,-1,127367109,396875613,543840748,-1,-1,606047345,906016812,909007036,970632940,381189479,48007905,113550564,446195708,305563734,379329280,846725481,159426652,856388711,-1,261691031,-1,605906158,761250298,847521485,-1,87860248,-1,893264476,-1,136372694,424973312,902436701,363703372,-1,498266095,14833498,172541837,246622741,861241397,918101369,68905550,841987636,453423630,18230945,-1,698669703,523421740,-1,222445001,-1,795251317,-1,-1,999066030,-1,-1,918366629,793225756,-1,849266426,837275596,958057519,897045606,240225053,702446772,-1,-1,468853530,937382026,751411391,242111574,728191414,866143958,196045061,-1,-1,677569563,981537201,90248876,-1,-1,-1,362673635,78638371,-1,-1,-1,-1,-1,-1,-1,-1,194420523,592288465,307973950,-1,-1,17721186,160019792,-1,752481768,495804053,510040774,-1,-1,962716434,14944776,-1,241425150,851160578,808245605,-1,177401912,-1,-1,184474256,-1,-1,924725862,98881606,690750571,611730260,67988951,254566898,876472144,-1,699215112,-1,429186711,903223053,-1,710508663,621750321,-1,588743045,930701741,4160578,-1,440992287,649287390,-1,98023531,602850205,210704047,-1,538546892,-1,-1,772866668,560604647,-1,758875807,465376243,704876222,-1,-1,727242993,-1,-1,350579001,453328207,-1,174303789,743191912,818606714,-1,380723801,838404937,228725120,119656769,-1,602725065,537301019,581654328,546210825,-1,828938964,-1,38833055,421273101,-1,463910768,-1,-1,-1,931687372,597693499,-1,-1,801101084,-1,-1,-1,595556122,400832682,-1,509995175,-1,418523075,-1,581687948,-1,602517441,257685275,793758602,-1,315793833,19712870,439209286,514204338,96414776,-1,563451909,-1,732196826,-1,608735906,-1,179132544,966656191,610552313,-1,460677032,554817840,836353159,92181075,-1,-1,976132311,906056466,-1,-1,748269372,-1,909375849,-1,27729290,997535618,644152176,788454691,450217128,679263217,-1,615128179,881999005,65658005,-1,920587061,579318488,-1,163423247,125392793,-1,529763991,395101513,-1,980157436,-1,-1,726244795,241394230,-1,790586782,988236844,-1,-1,261818780,622973296,118474360,-1,443072837,94518468,675308679,479050138,380566564,325634827,374490769,351366620,27895556,313951617,672996321,-1,-1,546828929,110121201,-1,536525199,417250419,226655786,-1,-1,-1,17566920,95871141,-1,489471623,-1,833608667,436599791,800965961,642723933,114067795,-1,-1,556456816,-1,146522015,-1,-1,593753268,-1,-1,383565948,-1,584937305,-1,-1,956147697,-1,871776705,-1,736334443,78891033,827276689,-1,326293786,238996853,194545004,605576571,-1,429398981,-1,-1,136130477,-1,147479934,155447165,831213090,404365694,675173158,-1,-1,-1,-1,42519339,-1,377382811,819078137,292288347,427734081,322401295,578686583,534664391,577380738,843393560,-1,-1,815027375,930360303,589047417,968524945,-1,-1,817510451,708009550,-1,878162462,677449499,281650457,491292778,398328403,119238509,-1,181281789,968901270,900838542,351856476,420267830,715781807,139846852,-1,-1,427383792,-1,819001098,567162487,-1,325651383,712939087,984152582,605702477,324202721,-1,409982877,400259194,-1,792342672,487034470,262805479,-1,-1,573747027,219076179,849176751,-1,320768680,303857653,-1,647750909,-1,800787296,-1,-1,323225337,-1,-1,599408568,-1,894184962,524449945,295958262,481162535,426567173,71007738,-1,-1,79005541,65946004,529039309,710977297,989207231,33661041,-1,500829210,55781587,317219535,168284623,134899626,426284728,479202931,284806905,-1,-1,733736227,28625829,313965011,826857363,191894443,589396729,-1,-1,-1,568563348,709322205,335108156,838190188,351821275,388280660,-1,426477631,-1,176606263,714671272,512372826,56925931,36126467,-1,821495799,1813332,248128174,824242451,888529546,-1,-1,243526457,939265772,850398077,841720937,410348938,893735799,883395875,362647478,405267006,53741752,159423448,802949603,580423017,-1,825255636,252393559,420617610,459135498,350893194,551095832,837862132,485461137,944635577,364712565,346191471,186179927,957882451,104083843,351492919,522281037,228341871,268786705,-1,747490985,590186335,461298979,1279428,224409927,604711602,292792577,313829091,-1,799805219,-1,-1,950825668,244729347,385644099,7379688,546265430,-1,518059143,-1,221414253,221923316,-1,-1,-1,153239808,476079883,278898495,489749955,-1,673804592,285142849,209610510,480590691,314228818,147496989,-1,854375943,-1,734496835,928401982,825859697,-1,-1,575023456,831844802,-1,-1,914123759,822418569,873714445,534240508,-1,537324236,1435717,-1,452211329,599666100,-1,953858298,19531994,344770601,-1,-1,577007739,129933650,-1,-1,-1,30621937,808792792,487007405,793378283,999345518,801905151,213847657,539285537,-1,854347338,-1,753483655,-1,497686867,-1,210639374,300616145,956926527,-1,175172420,-1,-1,21222697,743077201,180803002,-1,588228465,522065052,235992294,235080442,374650553,985415346,519565364,-1,461322586,512619448,147250421,-1,534249011,324541593,-1,557194902,-1,462598295,858739081,113975319,201904670,78280266,883236153,861160565,457695252,-1,996892082,-1,640577304,750654646,513897337,72438245,960143831,915826080,243348706,157005038,730097998,-1,896644389,75009709,724415954,701565825,430794830,854860628,90477810,-1,725126208,-1,758607809,-1,911878307,52710269,2983027,954173527,19497803,464023173,-1,111291644,-1,-1,568184482,-1,883590791,911729915,831669685,-1,-1,362374720,933767058,-1,328967750,-1,-1,148049345,-1,367644174,82420093,833303580,-1,631850274,785506801,317681776,524683519,135987665,870731057,-1,28563998,828478003,417751267,226175816,-1,-1,579839117,-1,479844030,322368924,-1,-1,-1,-1,72825822,772859126,-1,-1,163870857,781384683,901882771,210564016,-1,-1,881887604,678929941,-1,-1,840131077,210662352,163887179,930063655,206716962,204667267,938845328,895192275,618404477,937977288,558066212,393940107,991292462,-1,188900267,-1,855484489,205302043,-1,627828355,462861447,173521931,461061220,992507458,-1,-1,-1,271047617,188599909,848203564,143139367,201019057,81676124,843072567,936855817,813059303,677252910,150541274,-1,379525990,978665360,545047266,956898829,-1,711126790,-1,-1,240641923,513624315,837335701,-1,5477462,721805867,-1,-1,442765006,810494822,-1,-1,-1,799552861,-1,677708757,736010885,642678461,588300385,994973655,739913515,456812644,-1,346651916,140198747,175348963,135173879,953554771,-1,-1,-1,860720599,147240334,673760677,352879136,306829760,355713586,413274222,62479266,740534795,945642392,829453226,-1,944326359,612201524,677775138,-1,-1,-1,368211962,404939630,414715255,-1,995875428,-1,-1,596040786,951535634,-1,-1,283817181,304441933,478113231,985408401,816721565,750808634,719854898,612543168,-1,277469836,-1,-1,-1,299013633,421406266,-1,682815789,562548044,-1,158799366,137099034,338745927,-1,-1,790606852,211366720,367104880,485804968,833175403,-1,452416376,-1,237830999,192069570,858204915,-1,640364894,958988884,556933141,-1,597333206,-1,647130770,76318770,821163943,317675461,470159868,118682575,536244877,596419880,-1,170010200,-1,-1,744961853,310736252,207446601,399219485,569396301,638014121,730994021,931596188,-1,-1,558584894,915446641,770325534,435729909,-1,-1,409182200,100273966,802416737,-1,478655521,-1,849971887,462293647,962967547,720823937,463860222,206773170,-1,-1,8403597,628961408,925806034,-1,694746226,-1,-1,552841109,402302508,435624996,309093634,-1,985310905,44535207,233606476,899789097,-1,266457431,-1,731683,344402436,104928585,147317531,568790071,163305712,-1,906971429,354484949,179618346,711491915,299040611,791332647,806560148,-1,-1,-1,725947689,120503206,31828548,-1,-1,613124746,98641444,361572829,632963927,313135206,271261748,702158637,510720141,545401517,-1,436654664,850188667,429882731,777155469,-1,-1,387209901,647957918,-1,-1,-1,112572607,-1,759551091,-1,63274436,48664477,-1,149641549,965604184,-1,-1,-1,120747893,801040628,-1,801226079,711294372,438360644,-1,570937205,-1,-1,844349190,83715702,-1,-1,766219182,250008577,935155578,-1,910959072,816301501,31659750,-1,556641807,290116782,-1,536914772,189860415,-1,-1,640976663,751429576,806825508,402289999,728137338,523351113,434603528,-1,393615848,991665258,-1,809647440,388055593,502329492,551179693,406610923,156135925,961773776,491772194,946588099,-1,756760884,710104423,781445836,-1,669275570,-1,247663903,207196541,-1,-1,-1,676007068,843430063,172694718,-1,701027968,-1,937711285,448271164,903731126,989965255,498820209,446244367,297269498,598848588,302519609,838528099,491703265,674165750,-1,679726460,-1,970830537,-1,652563513,399772948,732476754,166885009,937693074,-1,-1,25906737,-1,957134237,748631102,-1,247887749,367092074,423197977,964131529,794898498,-1,421980530,23029317,-1,-1,214817233,602698923,475621473,826451500,-1,-1,906032967,729631795,-1,408948262,-1,879041616,469530620,-1,822493795,-1,604182922,535207062,796553904,158739298,740316628,-1,660140782,839872661,269685341,-1,64043628,74381253,543375687,713077233,839805324,611151724,34101134,-1,404986402,-1,645166328,-1,360356192,416264109,296686473,293579783,363686439,619711447,764418044,59955035,282669066,-1,642493198,-1,-1,18514952,-1,423982428,784223467,690332246,682740496,944715994,-1,356842540,438462817,872290587,344175866,190067,532997580,805486187,21445170,519106399,525307914,199626980,299543403,455190274,-1,845030871,402544562,-1,133535027,-1,215727807,874399811,3414183,714309111,304258776,-1,549452542,797390193,-1,-1,-1,570946708,917001630,-1,305244306,589458985,884731568,-1,929749403,885852871,627071303,539452943,909462730,450821721,958387125,-1,639985937,789969897,-1,-1,245758280,708414988,-1,958958064,492260964,-1,360238004,-1,-1,611666163,-1,209774846,-1,918399054,-1,406177185,208627566,-1,979646885,192096742,-1,-1,-1,-1,737406984,459149475,98572068,499342006,806235908,-1,923623573,558849922,268500928,557114192,374635697,-1,111076467,691535281,475012231,994419617,275361659,-1,580139973,83368428,-1,-1,904248241,-1,84161293,-1,136372101,943955526,-1,678892543,-1,-1,-1,680409161,267478467,252213164,776014000,-1,840969960,562165278,106476543,-1,-1,153401456,830064274,541708257,-1,677350455,8277727,-1,-1,273513787,-1,974877351,168325538,647889455,-1,943014675,692819906,978911924,980782957,706920313,914888368,571102614,499578760,787056340,371036549,735690562,995801887,-1,520286858,535159494,818221457,835579561,-1,-1,-1,872112651,686079689,42277127,253870070,945330865,556131506,851032278,157311211,577390956,-1,562293746,108046737,-1,803201612,481958102,729137934,-1,700534787,227988311,-1,-1,776144734,943916281,-1,-1,635758969,-1,979409895,-1,-1,-1,829770347,-1,153680062,-1,206548005,319053344,122118652,732249740,208435242,-1,698553131,222645287,828822911,-1,24543220,-1,151804474,350006028,-1,-1,875378809,862414933,993236549,918880784,349966988,-1,179359650,416343590,-1,677321660,-1,470459691,603517708,42056436,-1,924371790,758783095,760502807,237223731,-1,231648352,-1,-1,-1,-1,130603494,-1,534871030,886974011,519703165,498530929,588738923,377197337,323559729,86060691,575293161,396042824,-1,573414679,51368549,635979406,633423423,-1,101185047,56655399,-1,448487599,-1,693424550,984290794,802943106,169000656,-1,875290613,196338620,676372130,-1,-1,707682010,-1,-1,-1,887625208,116669835,423711729,422061227,-1,939646270,268371129,187327332,-1,303396090,137113333,-1,-1,-1,-1,213763748,-1,98318217,-1,41043424,-1,727813739,-1,722666773,946035176,780667565,231712857,-1,404460043,860020705,-1,-1,-1,-1,162788233,-1,274258439,166394028,513141284,553335855,832997464,-1,-1,959801226,495918350,-1,-1,167526543,711504869,750882092,732341390,853137049,768107926,260231041,272352491,646943071,-1,139701061,271245153,-1,664318506,-1,178528369,-1,490577230,-1,54122621,535244459,-1,452328479,-1,649816217,474004843,754256975,561427363,-1,407972045,-1,824787330,-1,136078881,393437832,6837456,929116159,729178038,49496012,411916738,235282634,723750200,753269448,-1,604238019,700534372,-1,14996195,-1,473495392,-1,164940239,-1,287948041,336795259,-1,-1,-1,-1,-1,394592578,762584183,555019227,942240669,387325380,885765233,535248533,760012569,-1,119213974,-1,147304533,699536350,942247379,-1,708687189,947647264,51381192,-1,365729790,225842683,658056327,376998587,566133279,-1,944474873,-1,-1,662527590,-1,583983761,475884293,942570094,826999048,725613546,78950907,542633558,258116465,819129974,837860637,180915781,833456545,-1,983654651,218004436,918445615,391272701,-1,-1,563286343,768160041,967955277,-1,495382556,180500254,738791513,-1,421605637,989270014,737448285,696114839,-1,459193350,752694709,637816208,-1,388759314,50133618,894268005,98711702,9884940,916310579,923403966,763123079,-1,159940552,292694306,306419323,-1,545628021,699720253,404556680,127117087,161786921,-1,60920610,700554417,86938018,612480509,794030187,707126696,218960703,-1,-1,513061332,818464056,-1,125552198,-1,801420708,464911505,978231576,3597267,782521659,730890744,113310528,329933531,107720309,35859320,811558294,368232175,-1,472331250,-1,-1,884277003,82410892,545108750,-1,-1,553101104,-1,354878074,651218064,399037076,-1,166180310,285113686,171113732,673649939,786312271,-1,852647925,77199490,237035211,20835526,254463417,345616367,683753049,985691058,-1,-1,-1,946197923,-1,798446497,-1,769752482,263785727,-1,357526525,-1,-1,911165493,-1,-1,-1,-1,-1,-1,946729222,663759878,913235023,374153079,787265814,117809775,560833929,-1,401400480,-1,-1,935523640,595495781,47920937,-1,-1,58920545,186028846,-1,360516888,168921962,51285409,-1,-1,29196581,130387560,907303690,819826241,166327912,505406093,354146789,-1,625120265,795090561,-1,303287251,979583128,745453084,-1,904574207,333010876,522824056,-1,433678804,886521684,874990521,-1,843803937,930140159,653433424,890116257,-1,557740846,588215077,572569219,59008192,86841859,953001661,286618161,437296757,673634145,-1,15451369,-1,-1,554827973,592088195,755467858,183310219,363499068,894739986,62158010,-1,895558868,608945313,918160676,-1,606222445,-1,816088963,35414932,-1,13109355,-1,820004436,584521680,-1,-1,359978757,673866108,574678188,675676631,468128783,281597531,960453980,-1,476826921,-1,544863776,337878387,642583139,-1,-1,319475460,-1,422929375,-1,-1,103460286,817704502,858311352,185238499,986277232,350355078,51144664,-1,256934707,675268197,804281890,488625907,25259425,502197052,108276805,-1,-1,345297358,934047685,791061351,269153046,80345184,-1,367465629,938604537,-1,-1,-1,673514164,117747376,-1,387897516,270461181,296398115,-1,-1,351251681,-1,-1,778971637,-1,-1,198183885,811382077,605113091,50499207,152956197,166012998,437855583,872904284,-1,732167076,68211317,716353862,471496955,-1,113822615,847299340,861957812,358868913,352008595,718053939,-1,592869455,272268904,-1,616841752,-1,264244822,-1,571213559,140208713,769470769,-1,419706349,916584856,-1,28848552,427072612,942936809,-1,-1,389318082,370075434,586196492,-1,322769765,402774022,146808196,-1,-1,943546003,-1,-1,-1,515599874,60796592,771101895,700963473,296426975,262841611,656966690,704584388,-1,279959935,-1,-1,828626886,733106481,426706342,72025632,-1,-1,-1,369043636,-1,-1,121751964,-1,524450982,-1,80647787,460069183,830323542,-1,-1,-1,352177166,75546797,788427157,117173043,-1,-1,450560002,245953614,306108626,419399435,956864932,329776585,-1,-1,543737605,441916236,529408170,502623525,174563535,404695777,-1,-1,66471797,894408202,-1,206005641,476100220,-1,530090534,516144023,283002022,767334856,-1,828700141,384528237,-1,-1,-1,557388066,-1,384552187,-1,25554355,487534098,562203286,484019569,-1,846200235,-1,764904342,536965292,21578414,109574919,202244178,771413316,565908723,-1,694386452,189875003,-1,310002187,135157037,-1,379922479,953435196,89965649,-1,19396295,-1,-1,944068208,589827219,-1,51560257,805513289,168772583,-1,633600231,548127681,622878580,727914270,985684673,106796134,914347647,798232993,-1,470272116,121634479,592229008,483744812,-1,831065701,449030206,911255633,-1,966414444,76647402,-1,766840893,944531384,167881281,474843535,662708113,269387943,209223592,490430074,643627947,460193256,-1,484450040,827988045,780155344,1035807,890831320,-1,478163478,804496856,-1,415694457,158260294,693466607,539909263,16917036,26162601,792206384,-1,211808363,-1,-1,751415525,832721971,182716861,816641185,-1,410759989,695929549,609195308,-1,680719363,-1,967687938,121982068,24585471,174353759,853962195,-1,449458519,-1,-1,-1,829319385,-1,-1,205119363,419002389,-1,865408590,-1,165529938,192074996,592398877,-1,-1,648058550,706139000,455626442,642687144,-1,257870871,793607362,-1,900025066,45201143,792371630,354892669,-1,822405513,260009619,432029397,966034356,318902623,906095341,438114324,-1,289189456,4405411,741692207,675495380,380598371,-1,414064872,536856927,-1,-1,-1,568032814,-1,140417048,859059448,978168955,578463948,-1,-1,453841485,-1,547600650,517263447,-1,560568958,279075837,576593840,625643135,-1,13253739,-1,598668932,447779100,909760990,-1,-1,-1,-1,-1,180166737,34037492,851919286,664612555,-1,-1,75060289,-1,876564570,865809871,-1,919498994,74441658,47816325,-1,131590056,231080176,658100928,-1,267146705,-1,199578614,-1,289035329,-1,226059017,-1,-1,460742084,127105572,-1,3440570,-1,924904953,106429230,-1,713113758,-1,25865828,231335831,945067813,-1,-1,-1,830938094,680007969,408293053,436159239,49708396,-1,870533198,-1,432027438,798330375,-1,-1,-1,161160850,664543866,837293295,713228604,481224287,889151504,266942393,-1,300438692,916812694,387013387,39306137,202418245,730988886,-1,-1,151688211,-1,876517750,-1,-1,660244550,266730550,303286653,312448449,-1,199778525,590136362,-1,548433752,473212992,-1,753013525,280340127,828702528,343700115,361689910,-1,897733624,-1,15422951,-1,824787328,400179654,-1,-1,-1,-1,828804913,-1,494806705,-1,201841362,-1,454392730,562387735,574622291,-1,356301045,-1,319343294,-1,992620674,535679741,983788748,595996746,-1,-1,406132128,408766539,794153630,-1,729061701,72494319,289505920,893376139,-1,556749116,-1,806914318,946325803,-1,-1,924080098,-1,143711669,947735898,565608171,31514260,478725891,-1,574207697,30684635,935483728,885233730,637067817,369417751,-1,-1,474851329,-1,573935232,423006223,767951989,525495407,726264939,907450561,68428493,52472263,-1,623459145,-1,-1,243375720,-1,-1,480987552,253107080,654880839,605047057,148752976,-1,-1,178712917,-1,2220822,193236016,70147935,702955480,-1,-1,-1,792349091,615807992,464546431,142168932,876736680,725306293,168804549,-1,718757687,976608891,774995031,922360608,75069608,258713138,505673157,95856922,251355144,-1,766645613,-1,-1,131597115,-1,274117269,-1,359471049,950855356,412400380,778164892,874769286,762529745,171435685,-1,-1,-1,181507489,762150291,602351842,-1,-1,-1,132472493,-1,736743076,-1,370253081,137169270,273805350,352310131,330802569,-1,10784991,303512358,363541669,872264989,601901516,-1,583185695,354538321,854385609,-1,465657989,985773163,15612396,866494836,-1,352215454,-1,487835801,522319432,-1,-1,-1,35022616,149183018,699985755,-1,-1,-1,384284598,-1,459435998,-1,733440030,963244101,721627178,-1,72352605,-1,-1,27413501,292040048,587061931,105749426,907221253,-1,494186457,-1,242002456,232377726,680134750,-1,-1,411952866,129842685,-1,-1,507449948,435752422,39266794,-1,-1,-1,591895274,466398687,-1,64717934,-1,229515817,453355741,770282637,-1,129201809,538701582,473541487,832602658,-1,649902840,339212142,144828185,-1,920064843,-1,534294580,-1,423047035,926370237,-1,376700101,33619167,-1,-1,814844274,-1,-1,730585492,-1,175761030,-1,-1,96599601,947716588,464960392,874007115,154915754,-1,679109252,-1,282635271,-1,326420285,727137372,42917999,560706494,44902020,85403606,804093985,-1,130907759,638241752,936697734,988143120,944266949,120965784,-1,69784158,-1,359308489,-1,-1,788972678,429456299,-1,829449007,824606784,568354462,241876795,577396053,284134726,-1,51640376,833297010,803597729,172971818,746458617,-1,211651303,-1,105440686,376838728,43729322,-1,494529597,4224261,850764291,141670085,181571401,33669861,165634158,595077181,272472508,-1,904451018,231827435,828201299,-1,547390368,-1,800850940,-1,-1,-1,727249025,41889932,-1,-1,108990483,-1,984069703,570712735,-1,-1,931569695,976285611,875211676,92419727,450334726,673827179,-1,444243890,302056513,-1,560780727,41828365,37060365,633682884,389736800,446240916,888096566,-1,298042128,639353962,670211035,-1,21437108,300891758,312376614,-1,-1,982974408,758257301,48657587,988510603,817335633,315475029,-1,-1,593183206,785771521,616567126,317822491,76485299,804350327,882563281,-1,921696329,15653185,568678491,863378076,53274029,111326416,-1,680211325,-1,84926340,149532357,756036392,231935729,-1,-1,462786143,-1,-1,846685348,698976812,740853651,630313234,737635247,-1,189569818,925530236,-1,-1,614130411,333869598,-1,841400225,53333494,65878102,424865895,478800149,-1,360799468,16431138,878415256,-1,-1,618755228,978558196,-1,-1,-1,194118894,-1,-1,858709447,-1,371731918,-1,-1,232796599,918758038,222522870,219212106,543897828,64815772,-1,155391382,766521004,965630652,925305204,8545285,-1,379894585,39188799,584223050,-1,634448577,-1,443876909,325691941,907776177,746330058,867122748,387062311,-1,766662108,-1,167880983,-1,328372010,-1,729153454,785886065,-1,220336566,421203051,971779090,447120780,848111234,857804637,-1,-1,-1,601730640,-1,213708768,401411697,60698914,428076415,717143817,-1,487382690,-1,-1,101351921,341466971,116132671,893306465,115520138,997212418,335002739,125063190,347076882,200666095,664469577,747574801,-1,-1,552974290,-1,722500749,-1,676738638,467970999,121828744,4257058,-1,789516300,-1,558404817,39813537,-1,254107664,926674063,-1,-1,-1,847818564,45930763,239772518,746956571,486583237,-1,796759765,-1,816051724,909988366,863270078,99254260,833032307,448635214,873629008,-1,794545127,687114016,-1,189526527,262237161,185314422,499537478,560244065,795788560,44056666,805370923,604408427,-1,501360645,464066960,998816179,212782648,248518467,-1,-1,990361168,-1,-1,847804040,61116726,631973655,-1,-1,847194636,219969552,761634949,358417094,671749286,326635052,-1,778572542,914813733,-1,360494451,738239465,761609118,-1,525490214,630977933,676612990,813820722,389632668,475637954,978492960,685008276,-1,736914763,-1,394422041,-1,747841847,617373112,879547061,675278758,4590738,585584036,-1,9238212,-1,779967947,84439724,923834532,297784039,-1,-1,943764021,650499503,867984745,-1,-1,645619978,632946142,490244752,490178846,799783997,329443089,27478452,419857436,63772524,-1,935277369,143271041,-1,958683376,397685040,726257776,-1,-1,917104566,-1,-1,513075308,711259383,450148139,662500185,505317631,426263662,-1,883128890,767401816,-1,425451380,326351460,179148486,-1,-1,997932216,932059914,220219666,19324159,512165050,-1,-1,-1,-1,814417651,435246890,-1,994273327,541479267,611027453,-1,371642607,332268147,906145580,-1,794465129,-1,697746763,199363067,-1,368171116,744818884,996430806,210280113,503036640,-1,-1,995006118,498865975,-1,112303813,-1,-1,-1,737370012,910794136,105420269,563628045,641065534,805253991,912579454,186321486,-1,87924679,235794305,362955561,433052472,325811934,-1,777234071,-1,384226585,261059234,-1,987609823,130403505,-1,731846153,-1,952337533,766130569,522030362,344688998,-1,43527921,164037051,271836869,-1,408215017,843597955,-1,409128585,-1,966078702,762943302,166807196,-1,795917423,364944425,58297031,763425592,771035850,359324954,89397423,-1,655901940,-1,-1,174726605,519154261,925894137,750367152,360964031,243308690,40218026,51800867,116063272,-1,218308919,561838455,292221685,38902578,948831029,-1,657693838,379004565,-1,288686466,-1,-1,-1,-1,666120624,419484331,699297557,33432826,560161309,-1,325607250,722694148,682836139,38005806,682674920,-1,683053989,-1,315032994,839033924,574110372,-1,544670654,282374473,210247034,344584347,526036134,538377194,-1,82485017,562558528,732160508,921083955,901648298,472797491,881786323,459162907,422869209,122294640,697413321,829077385,109816095,-1,-1,-1,129216664,754596081,357056068,446466192,-1,902258453,879346540,555063859,713382121,995089484,348136358,983568496,901071497,-1,785314085,588122336,577069918,100512824,604484905,-1,8313541,704204626,-1,-1,447248432,315136284,218451163,2919567,327296802,325998765,247396260,714091942,-1,308596756,345843575,-1,-1,33914370,-1,-1,508389323,518730590,251713688,374225601,-1,481060082,634701616,855171957,986425191,494269018,-1,258333580,-1,406137243,-1,-1,-1,155811630,-1,398302929,856757949,-1,-1,90970135,-1,239027365,-1,-1,64443092,271970872,509638945,806462310,-1,-1,637508413,739584303,583369811,744033134,-1,-1,-1,259191257,-1,355875743,897911962,938947473,731770989,-1,931318714,791094105,38180219,616837922,-1,356424049,-1,-1,624031448,-1,955946437,360134859,156497359,-1,585421279,306332436,429301153,-1,963650618,889839754,-1,-1,-1,534523299,359455632,-1,939439105,630961115,-1,950238013,-1,542064915,6715722,322588925,122132194,440170429,410174895,-1,446928917,145585105,566187328,611695886,261731924,-1,-1,756939910,572685566,962502126,-1,509147205,-1,279032231,999044389,288289172,198648058,-1,-1,739170315,818644477,796811505,-1,-1,421532284,-1,433084321,981349164,898594316,646957405,-1,-1,617781580,827688353,686037483,868903301,-1,365938370,475828643,-1,366318906,567406660,399870839,-1,821184602,348928990,871789619,-1,-1,675609544,734665943,-1,497081944,350050789,-1,158502176,90572827,29880418,-1,36903510,199079538,181748215,192931388,586401001,285489371,523746787,867321110,615405610,-1,240389241,256933951,840890184,-1,-1,-1,324418870,984589395,335428504,608761944,-1,712395431,675649899,583845647,452953115,113728335,741524754,-1,-1,-1,545236700,-1,731478816,-1,534593110,523504314,464567471,712989300,209464520,250212024,747944993,763735257,147033469,-1,-1,415244049,115574916,222677124,603194335,460214136,793539153,241593246,494164298,-1,-1,952380575,339584305,-1,184557288,330667920,212834093,456311431,677768692,307908900,4484853,-1,-1,404815821,370865460,605809365,-1,447226019,-1,302804852,-1,337279322,131172422,573320180,785556794,-1,-1,457456159,-1,439001618,889549385,626956908,-1,338642293,-1,-1,365986432,103657770,543044555,-1,477688529,729692152,70775086,-1,153313025,-1,982041279,545946949,667044464,-1,290959627,745183791,235885940,-1,238873827,385459572,336730597,827770237,765970101,630225057,-1,963605446,460559618,81458290,299604584,-1,686617164,-1,-1,-1,250114259,54059374,-1,606077443,11805713,497369913,396651819,-1,-1,530417676,374511846,591846465,-1,-1,954326213,610846221,-1,668166864,273945166,827066492,-1,754934048,802459302,203996212,-1,967559846,765562913,638834174,759048837,633989413,-1,11324213,343159940,86049173,170352944,866197892,-1,808735485,-1,375485009,530785052,472631754,-1,46222161,-1,164294228,248810106,872342147,835220295,-1,-1,751596699,602091826,785778826,589779315,162956939,367508115,773160093,301901756,406347746,10087234,765848718,768421814,589879510,-1,-1,774630154,479002820,76099811,-1,19820447,64738540,863504152,410721725,-1,827936258,674002091,654298334,153624075,-1,383264891,997817472,28350025,548229517,915012844,615420061,-1,744097510,207112700,176402511,851669417,-1,482638344,314411399,148131874,835931388,9491989,474635635,210830311,-1,527750693,61380892,-1,858612565,139735712,294057059,10139742,-1,-1,-1,97252228,-1,707680679,225095514,289999656,-1,431019034,659234195,822704635,798197916,954748945,229637037,621011682,-1,374925001,872587909,260820207,599269416,-1,951498489,-1,232544837,759096270,387583746,805494668,-1,508579443,218173438,-1,-1,359327494,-1,920466841,167029831,-1,154815678,19000326,463402297,12166281,-1,-1,703234022,808986572,643388197,526153605,913188180,682896125,-1,435999003,537514143,-1,635468397,-1,636843348,564629819,675366008,585096363,756970576,-1,307579434,-1,-1,560599349,570521169,615285189,177675183,-1,717036291,-1,17187732,-1,790130729,-1,294464128,-1,-1,-1,994580453,889850383,428859592,819454875,-1,-1,603604903,847210225,563645936,352194894,279474619,26141557,920030142,318049473,124330006,968277996,528112485,-1,-1,-1,244441971,792926247,187049969,82961081,-1,937469942,571626521,190002758,261107175,866930757,81029921,174848046,-1,429198733,314239970,-1,380882390,761073621,-1,-1,-1,700416911,-1,-1,797062694,994252268,228532799,121321716,528322088,378328540,647054900,528726885,166812041,-1,-1,-1,122066762,651991623,-1,-1,632448201,-1,719752541,103924911,130846239,491433192,227393246,729447114,691173896,301320045,503261100,738819294,-1,-1,476910019,312727423,511320006,181977576,99487863,-1,-1,-1,-1,39343225,779768028,670058303,-1,283425992,768466934,207303,995635657,99556304,626844054,100891725,449316222,897411554,119113878,-1,610363973,-1,757750896,86034924,847127392,907475706,985609620,-1,611433968,917969062,27064742,-1,946616279,-1,821598913,533302506,-1,-1,480128166,669243249,-1,259075013,-1,-1,-1,150790098,193735567,267801020,317039532,388502126,-1,-1,446233062,576352435,600617537,374507574,488867977,840429,-1,860737411,323831706,703205658,-1,-1,-1,29159413,987190783,573354993,994986282,429395851,703281141,-1,963149171,667389271,691455266,-1,-1,-1,-1,805682352,-1,-1,354536855,123745902,349490958,161433389,745533654,300957050,-1,504188284,-1,544642128,-1,-1,510374854,-1,162924808,-1,400936844,797946340,959415430,-1,801697015,369173165,279828566,478805892,156829124,179120095,-1,397832746,247965441,894478750,964694130,-1,312299562,-1,-1,793345194,-1,-1,460844983,843087727,407582419,-1,-1,625999452,315643494,-1,-1,-1,-1,398008313,-1,733340976,326094707,72889142,54446120,731466497,-1,-1,-1,532328921,-1,964074738,544497457,-1,179262485,-1,134499650,-1,904580426,525271267,334546237,-1,802824422,412110130,229498440,675320434,967334243,101512018,438893761,-1,473278228,327981938,194020165,981278262,82579757,-1,993117391,-1,617216646,-1,964308493,-1,290367231,716024790,-1,43536193,639592520,841263543,271957746,-1,-1,981686243,-1,-1,-1,756870529,889186829,754045012,909512861,733506005,22322168,37765996,836976472,740358051,216151793,575546991,-1,56888214,-1,282159754,209605721,899071909,718361620,256884415,212033622,413369575,732648945,490605327,579107084,575138963,-1,554547428,593096618,-1,317762394,250751560,61161889,-1,-1,495588611,330676778,471016045,622988418,-1,-1,481057062,487060235,-1,469741378,942752970,884022606,-1,221819126,218180084,-1,7084567,-1,-1,863310739,401845768,876831447,-1,-1,14202114,122734561,455035698,487514322,754728969,911873668,1246709,-1,612562543,353474147,228718637,306959451,109105762,914563710,46962099,-1,-1,749536052,964755837,78273408,510026013,-1,967070562,786672132,821346027,-1,632279412,-1,-1,333047663,-1,-1,224202300,581399210,245981604,498656529,-1,123963732,-1,627658926,-1,642939343,330483122,171807769,783643525,425320319,966091517,341343999,954602729,634458682,608878558,409464605,757245741,-1,863084670,215380733,614200832,901149599,958293558,33308017,50930221,574231238,397323806,96527575,588999819,197554802,543597291,418887345,-1,81153489,5531534,486812575,163463134,544308709,927443611,790837223,535509196,83843310,-1,550172428,966196811,887615340,-1,649222733,728739125,-1,494271731,854354807,487131699,906778492,113643440,37641150,-1,550266391,-1,834826988,678395891,-1,622721430,508530781,226087740,429405434,396065726,124344709,-1,-1,822769985,918904324,-1,463468937,917351821,-1,-1,638988931,79305814,131060246,581832459,-1,434362021,598841369,739826469,-1,637500479,747699390,973111934,647982912,489253656,9464615,110595732,956628923,-1,-1,945825493,476475043,184568082,-1,-1,-1,653138610,25366187,290081520,279579119,812871054,337478540,272199939,215826354,-1,568432145,-1,426375812,-1,25831561,188996903,459851978,861139065,-1,499624749,467798780,-1,-1,606392672,-1,517896544,-1,31571276,333056475,533440886,-1,998888220,703796213,960300214,531529415,14209287,-1,-1,-1,983974875,-1,607170751,-1,858035778,-1,645835557,719481056,80939683,-1,846086033,-1,-1,184506787,461964442,-1,36993412,576499429,558057677,629553035,197081852,871330736,236921967,-1,-1,303308949,732175668,462690133,-1,410330301,971705420,231031993,12509892,-1,32731266,-1,-1,458802604,733503516,67692401,897876597,-1,438016173,59475567,980582644,606345441,-1,966208084,-1,989434989,-1,775580587,998376747,114822288,112680420,190660364,553602125,-1,711039799,472812795,905351612,713747324,934598838,586771055,62750895,857638600,986419907,254327499,121944554,432597803,581889600,135924121,29891754,-1,310385869,35273393,13161720,6314010,379305484,-1,405973193,985570288,792228044,255741348,-1,819755693,100255108,504768038,-1,-1,-1,892148104,-1,12912649,-1,758696566,683594353,-1,806872445,942153929,-1,-1,10220816,187042812,-1,268232575,655082096,239552415,137344666,-1,726363286,-1,406381938,775622057,-1,240614156,165916184,-1,798931677,-1,345371023,469642519,447351467,-1,472229279,778231916,-1,426071224,778526184,997521687,-1,504242950,-1,-1,-1,726269581,-1,232834947,52585624,-1,596552995,645866891,402108634,-1,902358653,964377839,358423999,-1,683261843,550981172,593457304,895574504,636660686,663156559,-1,383351602,315685452,333675487,753901647,235258425,502766898,981278233,972351574,545314585,509894093,963043343,-1,307138501,208288523,-1,-1,814052057,106897973,464254101,-1,944066378,701147376,817108204,58057266,694203509,400869305,130293273,121323929,108413099,576235889,141193362,-1,-1,522523748,536960834,-1,516260475,-1,-1,598361168,182000679,-1,212620777,58270012,4562568,479486354,960261179,-1,989745032,-1,355232056,314623135,-1,975355187,75085887,906158416,-1,-1,470526684,-1,881521115,259465749,-1,590996576,211182649,307786093,-1,771594007,29250309,156186845,945015482,482742817,257377720,424032406,650578573,131525983,52055388,641637668,44169285,-1,68648638,146923275,-1,363889420,802568469,134705390,167536332,953641465,-1,-1,223739107,19163029,220291030,482648421,672939252,416205636,691089560,792240125,221145638,-1,593248262,-1,-1,707462714,12138302,-1,-1,879711038,-1,658974637,-1,442569585,130601971,922180596,-1,-1,710794682,-1,-1,62919060,908439814,-1,358056841,408364266,594760714,-1,294198899,653033794,766061993,-1,473045874,815739291,-1,758245157,552543391,108355592,96092382,936223841,887153786,175851853,895797707,63188544,-1,84180855,63404342,22424408,-1,-1,509049287,-1,529962900,201504380,-1,-1,288419105,981537810,-1,-1,-1,-1,781118571,658891567,151555693,-1,549585717,954512779,-1,931483836,559980543,304715278,65232506,532976462,-1,983243675,-1,181786754,-1,93541501,-1,-1,429521561,-1,-1,555499666,921982288,520143442,487881564,939791259,321537637,996916399,451812138,-1,146887091,794624225,-1,172202845,115035971,712381870,65252452,168946159,611826840,-1,955710741,731951417,343816809,-1,239619023,-1,561731986,-1,478849154,70419887,-1,-1,-1,915953564,-1,183478603,147501313,28500121,209436436,-1,-1,22596405,799873388,440873774,208422336,215082581,784871439,-1,438859974,-1,65781332,399597216,-1,579578571,11445343,-1,432625254,149004654,-1,-1,-1,-1,511384639,-1,-1,453913944,850665601,670328007,975926460,291626461,467569900,348654472,-1,632456188,945141507,-1,498800444,13356509,284930747,437083597,-1,29831115,493639947,954851183,418325291,34755217,954575765,614963216,605229589,-1,312857500,639490910,-1,-1,-1,-1,283238364,922326922,-1,-1,400385946,-1,729926422,243965947,155210932,-1,-1,949713677,722666873,122118845,736006994,867512777,763908112,861711497,413633944,-1,356908178,482756438,672855428,-1,885059790,-1,-1,863610691,521382090,741105504,866855418,-1,725623198,-1,-1,214900295,450543744,197774690,-1,-1,670720586,3933229,716633264,-1,966514712,934346708,-1,997247578,407782636,464416357,7473950,145644261,187665801,569316803,191877862,97899135,-1,862371348,28889791,-1,-1,-1,360179243,577778046,996084729,306430777,-1,922198235,275567394,-1,-1,-1,-1,-1,279739222,184503229,204854491,89518843,882009384,650258256,803014487,899095469,-1,44660340,681367040,-1,-1,622175579,605957654,-1,678438023,153341354,31126199,572419456,-1,-1,-1,-1,-1,-1,66425521,504925101,983185619,660889503,559713788,738394666,456057104,-1,540440387,44810327,226133964,-1,-1,-1,57333727,148129353,520796211,329365548,283302559,264408936,-1,405321797,832525260,276667141,98975310,-1,36818524,-1,491151940,-1,988374700,543174894,11177524,96280415,748523108,-1,165766954,59276332,289227292,398115577,980877613,-1,-1,-1,-1,-1,971274647,847250834,369359578,606120152,675312459,947799240,374349922,797977614,807927806,166382265,613318770,127157290,642079228,682947634,468878090,634347192,727770464,451133097,-1,-1,858323490,-1,824568277,246215685,-1,535513341,144708767,-1,972609650,-1,645704983,-1,776179110,-1,673947217,401411220,448277211,67003556,514608667,647121419,-1,-1,1870131,959303822,245417948,564620587,-1,-1,959769721,-1,777928048,561650992,-1,-1,316448541,498030632,-1,112755809,735059910,-1,767705683,20461856,-1,-1,129964643,927026599,-1,410817440,913644244,759210081,-1,689517124,894957426,-1,891042175,632953188,566872934,893357363,556635621,380904522,731528625,380621887,591916207,994187527,-1,103292280,100179300,452943331,-1,329613892,273949755,-1,34314500,523986337,742508983,-1,-1,7585714,987724759,153027356,305880842,-1,-1,565926495,899253662,516812347,672825470,473303313,-1,292110445,273894610,-1,935761793,-1,855628455,594966219,125385467,-1,-1,-1,644957146,-1,5968628,-1,584955759,-1,349610472,82424008,25880413,218281445,18093876,-1,186282554,359548147,387189664,357274183,121297805,866476351,-1,-1,528016297,-1,72684018,392640468,636112160,-1,621484690,344938410,749162425,-1,47702422,762966396,102228987,525662082,-1,769108063,362822011,998015867,-1,576813182,-1,767224497,-1,465657237,694807003,904562285,465406280,-1,-1,781038027,309786090,982008069,-1,959533217,394328981,501273975,-1,-1,389438349,658740220,901566963,-1,620766215,435617098,958297857,-1,279676936,514136142,298141131,487418253,373882116,919431473,119185779,72820174,395386035,645895262,514859969,186956551,-1,904963384,-1,190308614,835330766,165195539,85687063,-1,221367339,217909825,516727774,589040484,725078092,179389326,-1,284711448,801729257,326006573,117551686,55456601,506394150,584606700,285587275,916303101,135882177,32544192,-1,-1,-1,139546928,478644502,728609928,-1,-1,720747883,569827060,880847475,829679227,-1,475789429,-1,839913275,-1,178029218,131730172,104201329,743370437,445880692,999812123,-1,319337676,-1,-1,250667655,714608230,756184399,281789888,245900940,281181858,-1,666118574,142507719,718588900,-1,962409181,-1,934500492,-1,467436464,718708520,227237535,289656613,-1,591765138,360882146,559717889,13550819,-1,819684687,377041863,439588779,335656995,128010147,424841961,694723443,-1,331453608,154786961,174277611,-1,293659969,-1,756981312,457098618,389912135,264377968,-1,-1,175960183,267081123,-1,14133970,339238465,358167148,821450638,482359021,379576062,-1,124722208,-1,156643326,425718029,-1,563342168,908392052,658286689,377018909,-1,158096298,395469635,-1,613211476,668890099,576279389,-1,-1,489654053,253914305,841161937,-1,127905458,90144680,824702855,773134072,698810635,175569026,598733154,-1,772848506,-1,255475686,-1,-1,900307990,-1,131889488,368332213,127998388,654865101,506530665,311677682,261807481,362708415,143893955,339165504,706154128,518915540,571373191,717286245,829967756,679223111,-1,-1,602306098,-1,643463704,345909805,651226246,191705433,639257236,498117547,-1,937156516,300781983,485114822,-1,217202812,449387769,337493301,304962129,70648418,658379701,914575950,273483836,2902712,140030342,245384847,-1,-1,39811004,748552882,48275981,58196252,-1,398376700,194153253,324739230,951264758,481776951,-1,904327728,-1,499315654,-1,546910128,262133062,441183455,-1,244307062,488868504,364769741,106571645,167126109,637502841,135187499,112850490,635499732,4617873,333741684,241129161,469499023,969284458,122582032,-1,-1,-1,-1,-1,567928464,536870612,-1,60389102,705812933,367555265,675959197,365794464,-1,59731649,1026585,585018874,239535739,-1,931326144,653413633,337261405,633698032,849796167,360905567,-1,-1,106926389,-1,426164466,-1,381745527,764671219,743750556,454554825,887192211,-1,-1,927713216,-1,-1,78134117,-1,472997161,-1,-1,296644929,8970542,1810694,50548450,533380867,339156604,-1,-1,980872981,211768003,147514714,-1,804389638,613429474,-1,443283539,209779237,794346082,351292484,834524519,-1,-1,291121240,-1,989520494,440776717,464131903,-1,604814693,-1,869015197,553926273,472847685,963086563,496047087,-1,915892788,481804523,536072390,-1,-1,643943519,-1,613194080,233505737,321407264,284517580,626067232,-1,-1,690249808,114852086,904859914,-1,-1,622486615,359575888,-1,-1,734728865,-1,-1,-1,9415522,529996650,451979121,339903617,5400925,251633844,962355929,26287671,-1,574167522,-1,-1,195836354,780431759,795771222,980508163,807988666,-1,-1,85140150,-1,143399167,977362295,-1,141454340,61412669,850465212,-1,480602931,-1,618080133,550831625,899832715,267242819,103113533,862465522,849352827,-1,897568981,27014925,-1,481581851,-1,241526530,-1,786694366,478579431,612758187,148160459,-1,125003598,735729723,-1,-1,16713341,-1,448375325,479670220,-1,936013134,935796440,641002766,75328366,53539954,-1,-1,282985591,534750059,545219864,-1,305286448,818629490,194983260,873638961,117088346,309718907,940838717,-1,832745024,71414136,20589534,258926389,-1,236067962,-1,-1,-1,400011464,-1,-1,614328898,-1,-1,-1,-1,978416473,158475776,872773089,-1,696555672,288543312,-1,-1,473479052,375676844,520028122,181582771,-1,951457636,313177328,989925781,-1,21482100,256592002,933990897,858706992,-1,255231844,453611913,227718694,969348656,629402062,178308512,893782482,509869678,-1,11695178,-1,-1,-1,-1,647580378,135813211,-1,527141786,-1,654091422,848257116,477083782,901722783,316621062,46086387,465565683,790513239,505660717,227125232,214741753,339822959,-1,93145053,465761431,545327423,704852649,219430849,-1,17276403,310159880,187795311,124638315,585480537,860692412,976522989,695218649,633718454,623768682,336165006,-1,61978358,-1,721668626,420817463,705751864,408229357,983415369,339692347,565646241,804561983,-1,-1,880646207,595137354,315272328,463156273,455091321,-1,972417356,-1,698911715,51527282,32107195,172656156,-1,-1,968862376,-1,-1,-1,970553707,266651546,271149916,970603374,260308615,-1,582540213,968309100,201183024,537754671,-1,922736853,228274243,-1,503374026,-1,494383954,416283241,248979819,-1,882002099,176060404,448607285,516035067,-1,-1,250105626,334396168,391381027,536976384,635565845,425627283,124916816,-1,8015109,-1,929848643,-1,-1,447224417,86100300,995579154,-1,834287478,276174827,618504295,116211232,-1,213086785,-1,471215357,-1,992840187,-1,249708389,-1,893918381,24852886,-1,722836582,373647106,521935918,78917050,-1,174462233,835943651,664983127,38406082,436896856,933686857,-1,657072544,43057285,882958016,-1,884342469,768142362,-1,524186282,741907217,977923245,-1,-1,415470027,30950468,202815850,-1,-1,-1,790712770,-1,-1,-1,-1,-1,-1,483634113,219198852,-1,-1,-1,237416412,288037477,-1,-1,676308859,-1,741996812,457556641,491821755,316621528,187188224,-1,-1,945015170,-1,-1,-1,352860971,88402211,750884252,989961892,-1,-1,708075573,592039159,178934467,-1,209391474,201604263,993492752,-1,328609956,-1,827138129,-1,270347147,-1,-1,-1,614897153,-1,73437872,288029824,831940197,586269852,-1,431385120,385964422,283024880,35903391,596580485,185725462,98988904,-1,535200213,198988684,-1,292495069,900994720,73667189,644578627,849975886,543721067,309887057,780360711,550787633,600515025,-1,91001180,-1,49837148,794992242,663548003,419301866,116974156,524681245,-1,240529508,-1,926625224,907753740,-1,6909889,321984715,-1,331338842,-1,722059628,-1,768443077,246650788,-1,843270724,283796224,138778574,-1,793269339,623858118,990630796,-1,964512034,-1,-1,100349194,353189251,196974528,471377725,687569433,745270050,-1,243600100,613028108,969039650,903923334,308430042,391150761,-1,156935047,723910914,663688616,568913176,506328991,811490991,621585868,621961664,280335079,-1,-1,871805649,295543837,-1,915450937,699269268,544068423,440936325,210407726,163699643,-1,77289198,718704877,407802727,-1,263871625,849551404,909188134,-1,-1,698110680,536388569,-1,207261296,699107611,-1,-1,-1,361164933,-1,-1,152856653,816336213,268728633,484527742,704123307,861931031,-1,410151816,157101631,-1,-1,448098526,-1,444283546,82042905,-1,84574557,365340699,8184274,-1,645405138,-1,187867726,-1,-1,608938737,465368536,-1,-1,-1,-1,-1,-1,-1,-1,795873185,206030644,614200099,124975403,853770769,-1,306636336,-1,882175563,-1,582086872,-1,969582521,420032453,821971332,27353321,823894822,351269558,977476296,-1,525107140,6688740,121978978,423387541,612239213,-1,901162,221877344,566605075,-1,56493014,872852626,-1,600288905,-1,472464885,-1,772256787,-1,-1,516520619,-1,-1,848402595,874814487,438639153,-1,912809237,844430359,488669863,589911325,-1,297991294,-1,-1,-1,142568915,96557438,370836756,668438517,95401300,184294168,560923514,663693259,-1,-1,623977355,910162403,98683798,749659581,374127673,912157502,506174700,-1,-1,-1,-1,568357530,-1,376302165,618290279,100017320,911491391,589806459,845402972,-1,615559022,78544627,690826104,220452746,-1,860403594,897019120,637544607,20036866,-1,160104184,554286330,-1,449394659,-1,966721505,83257874,-1,-1,713231712,587735018,942806338,875864209,-1,-1,586636927,-1,316313686,-1,904650772,-1,-1,156647766,338728677,883883288,476212414,322195643,624158188,-1,10747098,665557635,457834267,159591874,-1,575950849,814734379,-1,-1,534944920,-1,553275146,546001023,-1,902426430,684228288,231587301,-1,-1,-1,811828865,790615232,992186838,94678385,-1,-1,97148578,764263259,485043337,569669424,453042549,-1,832537528,621749450,-1,557440441,479547262,799786747,116022939,825250036,-1,410084310,262376904,-1,357443231,129129567,558391034,639464612,819086646,854875398,300394316,-1,414094631,756330906,736875102,-1,953968775,712567927,908020261,610858807,61780322,497044370,242619565,935465635,945545798,302254941,278423142,-1,966511171,927239652,-1,-1,-1,-1,-1,402313626,637154522,319856995,481961716,21726065,141830206,134377678,929795974,557790815,745273642,816366231,-1,95433159,459832899,24210851,-1,317175438,497079031,-1,-1,311886729,194629017,290649093,7291063,528678241,-1,672254150,-1,-1,403468668,-1,-1,-1,447850503,708758773,509093590,581904583,797610872,175092681,662343689,813389426,-1,579481434,48905799,461519114,615975621,-1,-1,-1,-1,143829071,972364208,836646080,-1,981810361,816685230,372508965,409692777,383359021,479693494,582388949,51193722,-1,-1,569756011,776388755,598816046,-1,249628718,451364520,848774592,278228400,-1,116482153,856600720,-1,984321064,445393813,-1,431510530,-1,-1,862980051,432869407,-1,96712654,704200355,481134531,-1,-1,911021655,-1,44407410,911933794,-1,-1,234583214,201955422,182246925,-1,-1,308649911,-1,856837129,882764687,494488088,-1,-1,714099920,-1,-1,195621403,992773126,-1,924587377,415888821,-1,-1,300489168,934629846,977710096,194158161,-1,130166361,573807734,236402908,-1,893487317,833791776,454518917,-1,-1,-1,291486850,-1,36711340,-1,202165435,923101434,16783361,783106127,-1,330486856,910018859,672185625,77957357,248876800,-1,704275168,-1,378410424,252275738,-1,894138956,320496090,769255746,405542938,236145072,960112186,361755655,-1,497753286,6488547,494077232,-1,838159424,549189764,689362902,334510811,853480878,586055700,-1,-1,540658906,-1,-1,419926248,811566724,935551842,-1,-1,-1,604548740,-1,442691632,900245546,-1,-1,604318724,231773379,810775415,616989960,-1,-1,-1,-1,547390185,721830846,129627428,-1,33735026,597183880,595508298,369704149,746548258,995898605,666366013,756881684,-1,253314312,467295883,-1,-1,-1,-1,-1,-1,-1,498200274,589863142,-1,765368692,550458435,638246973,22039503,329528586,17690561,264315754,173099708,917934061,-1,-1,568122320,-1,765409093,-1,882961836,367710701,945964713,979116895,876509044,270431167,197988342,302268499,803561279,-1,135711604,606920767,883939701,877179943,510245398,384495633,223760007,736177012,-1,593830509,887977060,-1,847370618,-1,-1,891569784,795941519,103309668,-1,545618611,348294004,326928471,614318921,701824012,386653297,923174585,712643233,-1,991192728,225212905,-1,606499323,657829413,400584485,514606865,181422663,402171865,161968823,501049784,695546803,160950617,-1,690800498,-1,391090529,228105479,247069080,863976865,-1,-1,806625610,-1,186763350,849250000,559873108,-1,337453654,897382655,469136985,26061157,-1,139458092,-1,179177926,-1,868042657,864654876,-1,-1,288823292,336275561,277883218,872818331,720009038,562124777,-1,-1,924904650,899793527,255102837,-1,871234168,102363097,-1,570823329,-1,633631435,-1,187924882,173122417,334799882,-1,654161256,-1,207009081,922221784,572690617,-1,330542454,778254638,-1,56892955,362366535,-1,82036087,440745185,-1,524177020,404226625,18086923,215535602,-1,-1,-1,963667207,730374130,-1,48160733,-1,495840177,-1,-1,693544636,-1,281302322,461714060,70601578,-1,897038500,372489421,-1,107241975,233711460,747765339,418452846,159788133,-1,195564177,136885025,962049510,888763838,261935166,909908792,660674626,-1,516353703,969753198,121316758,965858906,-1,-1,347502720,441311230,-1,511681563,468945937,978105165,466508643,-1,143844194,241282968,125433265,187061306,384859753,792390491,262618335,-1,775207849,917800814,357969948,688028814,757935650,-1,702070540,812059118,-1,561412635,-1,486133384,337004657,-1,-1,-1,-1,342471849,-1,563215894,-1,455852697,-1,-1,623915993,114150314,-1,190264332,357399309,567810036,878624969,531028390,969993386,785986047,485837984,397574678,243625080,435301927,102527274,539511263,864612316,122870019,268494573,303235915,149532384,-1,309358258,458739472,199610595,29499194,474358037,576495821,904776034,-1,404341990,747196475,-1,500589638,-1,378909530,111277819,-1,786872135,-1,455441431,248366640,239797338,26539725,56822753,-1,-1,-1,873844940,695860342,401822127,181858006,861634674,339462369,517203943,324454408,-1,794260059,14294096,797589059,867770663,-1,712724875,-1,-1,584967328,484122321,694269394,-1,471778381,982701710,-1,-1,-1,82723837,-1,423577502,-1,544205175,980952279,364906544,364450666,-1,518984322,-1,675684392,342624560,-1,-1,362907308,121523932,-1,515030830,410605606,761997671,799079516,304661319,750962219,-1,-1,151517896,661113165,-1,519017200,315188040,893706849,-1,-1,-1,237808251,122420299,-1,-1,702015313,953070437,116446442,358868623,192047569,534074257,187571352,305031614,-1,530394945,-1,955134492,410839059,695041647,-1,-1,995350773,270342506,531731976,92702779,-1,-1,-1,298670876,214810948,380617197,938133394,587113751,208629041,237179688,683621511,720183984,460824756,299481686,-1,238142867,673791149,363526200,-1,276741624,710793243,167332225,877242118,167453145,30373349,-1,916628594,-1,720036729,354935871,807455003,-1,466639957,184666101,227853144,-1,-1,440144314,-1,-1,412049736,505883617,247515307,320524092,-1,659361525,-1,268317104,707936309,626328659,-1,476925223,319811160,-1,-1,217902796,380209802,920816668,199608893,413763362,894592101,-1,-1,534684237,-1,968125373,124521759,795580392,658231181,149917037,832226384,6772906,622099667,-1,387051153,-1,-1,802663462,788511757,430380807,-1,-1,17459293,-1,596535061,-1,430286218,960959035,877579377,-1,21077934,907982887,-1,732448617,-1,-1,343920657,947676939,-1,462487265,490946289,241174811,8242448,-1,-1,486051494,-1,-1,492569126,592132207,-1,-1,497441147,193156491,194566796,908492994,-1,-1,483891811,837122373,89792931,-1,-1,353012061,317726316,219760324,671665848,338998189,-1,-1,507361801,580019868,902019775,-1,347348686,341544440,991835353,125861622,401756335,676355813,213220049,169557853,991744295,-1,-1,-1,-1,-1,421935134,375138707,335156308,676260002,-1,-1,156275307,572240047,-1,313732985,898160917,957264015,-1,138146839,-1,247351137,-1,166037242,82216213,590976998,545271729,-1,-1,164183660,628243722,848324485,382059937,220933909,498694715,-1,-1,-1,274405698,929750264,194413765,147872318,580566087,376915000,907365857,-1,703027357,-1,341451825,-1,654512794,971367705,155542921,-1,211313677,624250897,339573725,457616061,-1,652330566,394576112,320852196,-1,437174815,557748575,-1,233549303,237515691,288215126,559993393,698848828,-1,184990,910995914,-1,137578082,179855042,606383715,-1,-1,-1,674790684,-1,820794036,722201224,506697661,-1,-1,488665643,723488436,107530750,476699715,374075591,969979563,-1,294153740,-1,-1,740839457,686347984,-1,225890072,-1,-1,280861941,828810212,276732835,132036983,272408286,-1,830973747,-1,777523519,356287556,582828906,821483807,125793039,163087195,-1,590444531,-1,-1,574394438,130498015,396884112,61119776,855703500,420766893,159553450,834979055,780932370,-1,833322706,397120911,875075402,521226462,664052080,977126236,347287396,84010941,834430489,485510990,214584904,-1,-1,504397325,547150199,737881700,833516764,108125787,868855792,209362829,844765161,356495475,-1,645700345,300975954,129205152,363810869,293813659,309269315,-1,662376156,835732017,-1,-1,668854303,220850779,-1,600814557,902373991,438739051,314975264,591350079,143028770,495787821,710800657,130681889,892539814,-1,-1,68118626,221667404,572439717,635561006,272087489,632060727,827965585,-1,-1,-1,953945535,970193508,395528174,633391641,953415060,-1,311148027,34133675,-1,395145221,431365180,856751073,1945588,-1,886635716,56785645,954900518,142174785,-1,572468139,34784351,46872467,277674430,238523052,997849483,163904482,998639318,-1,744694309,32654955,-1,153119137,399470861,-1,753030783,-1,45605451,-1,-1,712234167,871801223,579021224,518666521,774788068,648954352,-1,-1,-1,78600966,-1,291008388,720809038,296784312,813840093,-1,574862027,972288776,679536919,168898666,705966740,385120065,767112167,829872836,517012799,-1,742208494,898478437,442664307,22916672,377536802,983546898,-1,395184703,-1,346133097,266641136,557487562,447279394,-1,127185654,-1,-1,893264059,378716116,996579562,746091694,-1,33669698,-1,531175940,394235874,276845005,-1,959594977,800958523,466972274,429088586,332615559,620403367,561506236,-1,530332499,-1,315185852,-1,-1,42751497,194964501,143977492,297305910,726021468,651176930,968249981,830173020,330498688,-1,729857176,-1,864337707,-1,336829912,92396623,-1,91319438,817401754,-1,842991509,859548576,522036940,-1,175570440,-1,-1,794500723,703587222,31008804,751791675,541541385,322966139,-1,-1,650253947,421954779,718366133,129995057,-1,389034130,500361797,852716930,851166979,-1,743665892,-1,578276047,715839737,540971023,718165618,206581198,353568356,-1,723297598,752734005,900234196,835695535,489404751,-1,2512988,340392458,-1,519600706,590172193,673715958,444466079,-1,855980867,410797873,240382819,990564287,726742061,684974258,153494344,80566739,400007701,-1,785889798,927947254,272348991,457205794,-1,373553815,-1,-1,140990709,764742867,260880512,-1,593361369,-1,-1,-1,-1,201121231,237232597,376401249,-1,312705997,-1,787863456,494098032,516394824,-1,79832721,450735313,-1,917515276,849495248,340098533,136630379,883609008,650185569,-1,-1,157957510,33753721,769415858,123525906,-1,-1,662177644,5398623,343672373,211330534,551121330,136674337,61481684,677577985,393194075,160368929,-1,663217464,801295749,239242835,434337186,316981843,764357767,374854501,165120016,796871881,382580058,706863158,501228563,973942839,-1,950177383,202049489,20265361,259141775,777415139,669905096,846316790,39516947,565119391,667571696,-1,601655108,-1,-1,-1,-1,-1,17589119,-1,-1,573353581,-1,-1,-1,88676132,832914234,603639864,905717325,47305557,553949598,-1,305448431,-1,554484939,921009251,801381053,66379139,-1,733212251,-1,260994791,939753066,92546903,-1,465607061,709246145,294097906,-1,-1,-1,-1,5269691,615393879,79921838,-1,68921861,-1,-1,794931715,603705256,59336402,-1,215449187,-1,432079671,81618007,252356810,705896414,-1,-1,810719312,-1,-1,551794254,-1,186921197,-1,733864120,-1,116842436,853807369,-1,300974554,898147596,830854219,991874912,689505729,-1,35702845,805858779,-1,728370927,374180685,-1,250147911,-1,13109062,145606965,684834933,227987611,24378162,-1,-1,-1,516210574,133983538,695193035,360313268,859831416,-1,270001720,750231108,156443872,355469881,235887770,13956823,-1,758910853,652492221,18574260,124378142,312552587,56151089,909119046,31508596,176650247,401158193,-1,36720184,-1,54153900,371414387,653677790,363133173,989438809,234253309,822782571,428358529,918361305,826317842,116794222,-1,-1,220755405,843726134,-1,-1,697367348,912391524,897532479,843621059,604473290,599105787,976097040,-1,958999944,275283281,438217612,468740560,-1,640461250,676876577,-1,-1,205710835,-1,748529406,-1,141272278,317301998,727153411,615702241,484627629,184232642,74317861,-1,675385928,-1,802113877,838835218,452372414,594745083,-1,197967643,-1,463665512,-1,916255942,764174092,-1,-1,585926384,79792391,202849583,-1,492971533,418978308,576564842,314556912,311555602,235937694,964218669,698399796,-1,811007602,619224499,121410469,284255496,812832582,900313862,996680183,-1,235964481,116231312,847920823,996057878,-1,560653659,661275038,662551347,397231943,824937567,909340834,-1,873796457,764129350,-1,572546302,427780934,357914249,16021414,357891630,-1,781445224,972796979,160172567,-1,862261908,53517455,878677447,518699789,856656367,-1,-1,-1,-1,717962625,638962058,-1,189090353,771021424,476639272,-1,183057984,554561759,-1,725296390,883450763,672977863,-1,630971255,-1,555946770,659185922,-1,282128576,880686304,355704801,726101816,191767255,-1,202361488,88057563,-1,873640691,816770923,896262042,876501038,143588877,292832824,-1,450893035,984407812,314705705,134086722,-1,433729119,12901251,280186598,-1,80844486,803452873,240227819,746406729,968586787,848124965,308183453,65257477,-1,-1,856151311,175796123,-1,687636922,770084179,80585408,488150748,117759760,966131268,16352322,708065311,-1,512759350,-1,668571277,652177946,618092916,636681320,690970914,888525459,636639786,774753393,659355368,-1,199657817,884203182,-1,707127392,-1,822561874,-1,-1,-1,-1,-1,246676132,-1,-1,91815753,-1,983440986,636366320,206751006,281003922,-1,-1,548657080,715215789,-1,-1,-1,608111147,356961600,393161746,479071520,436818961,632838979,112191248,466655590,-1,-1,967512099,227167263,945158459,547910043,480576106,896299094,74560210,-1,153526489,594271034,-1,-1,446030572,753394342,835414978,120561177,345692294,633340541,339290979,537059220,276553432,-1,339941791,728830486,228343640,-1,697481017,-1,-1,-1,969394065,598995149,400423102,-1,100457646,-1,224871643,998243389,-1,330064481,36010265,-1,944643366,-1,-1,-1,266569478,719239197,28441238,379866041,297494640,924451744,800206770,292524796,356949766,581019187,-1,-1,529398394,864015855,374515996,514321896,994906862,-1,181214182,825108122,458617242,784621886,217832902,33680223,212701790,535574205,914887466,-1,577621331,-1,283890503,15596786,115837627,333607197,269856181,-1,-1,96299680,-1,543912707,-1,-1,-1,-1,508032452,438899396,260188292,972352171,602891488,-1,-1,-1,644623536,41825942,-1,816591402,-1,119441698,160377101,908394209,-1,842706777,7062977,-1,351097804,358405585,-1,784606623,794247199,389723175,498999358,653791711,905200825,-1,654989776,833778336,576215217,-1,-1,659340200,121399493,-1,419148187,-1,663721115,898184695,371586158,743359819,412557648,123027546,-1,416598287,-1,515195474,345795146,162633618,255214521,-1,81548143,-1,-1,954532532,126991672,301543674,-1,-1,151489742,-1,-1,460276964,462620461,502692714,604728743,621627719,-1,819557776,-1,728115914,-1,436908480,594313962,715589898,459186225,556149527,862445316,864144245,947668302,233226237,-1,-1,-1,132758140,174219253,-1,276033598,-1,-1,229944799,245898075,118513934,-1,632196402,706780333,704750381,509520794,587774589,-1,565283423,287507823,733089459,769970446,686768550,573492094,204391554,598379964,212036793,541694871,780800474,517345379,117062891,514306292,294839715,936080926,970664567,25292602,422747947,92458954,649554814,-1,401389344,836891067,-1,174724484,103807923,-1,-1,639832077,706360004,-1,739914620,178503350,929019459,925406891,317465220,357993864,841435760,713954545,93312827,78142658,161834643,870701049,-1,-1,156631058,214650930,550274557,23299387,45311855,313399455,355272687,-1,-1,96904237,-1,19501459,-1,791391450,221751733,879821161,938159877,9281655,-1,741784695,492437421,785990772,-1,-1,895171395,451021298,506934207,-1,299049718,630021871,791756110,-1,-1,511090192,-1,-1,-1,-1,909321558,820945168,200323196,-1,385384490,669850380,455641321,-1,-1,326264758,378501378,826192258,962051163,-1,444542500,439373618,35610091,-1,-1,592335304,190758285,620108843,427627832,590128993,327785061,581943476,215222962,-1,419819383,98430899,816122794,798691122,743112432,222476903,-1,-1,167350746,-1,473871165,182239698,42843400,857985473,678556524,-1,115678437,-1,680257111,88170015,401656503,228459659,-1,-1,613982179,223171690,-1,406290056,212423290,754607051,89461022,-1,-1,415172069,427217294,682656594,245274283,370278935,-1,850935156,391531710,-1,508924067,79023382,388229027,595289612,-1,371172865,724863195,-1,-1,629268601,675371941,809497208,143532158,205424136,-1,283897118,26332315,-1,577526313,645544470,-1,576684057,-1,387394934,-1,65271633,-1,-1,626752075,717118529,-1,805049645,283901426,285131607,658734383,492608487,-1,19348350,642237232,336648466,-1,955259694,-1,-1,85085576,117991180,653250541,416434052,-1,763078514,-1,97138388,75567136,-1,950355622,6387324,-1,503528939,885871758,444808532,158898251,603936155,-1,508548376,-1,-1,-1,204509952,610379971,-1,-1,390075303,118909388,823684491,42216659,-1,562547442,16813437,701942911,444556850,412128256,740492125,332598607,-1,229151236,295724251,-1,625726971,-1,325582141,913321848,258030695,579647016,624015994,-1,432525951,368029647,-1,-1,575301102,462726612,703213495,932767851,-1,813657200,544149145,600053679,937815944,509125528,169791287,542683053,-1,-1,851949695,-1,511592531,125546571,5865855,-1,-1,980737311,320290002,-1,234092937,-1,-1,307301040,-1,220487321,249116479,12518292,574484074,542526193,773537196,-1,46527146,724114397,760972304,976976552,198345964,953625707,-1,72782746,-1,247664750,144303561,820449607,144831635,-1,222767782,392479771,328199585,-1,258357615,57814403,521094982,275028647,496976783,-1,677774416,764086825,636646371,-1,742300952,377977437,-1,526257995,-1,754438971,197390870,89788328,871971048,884595451,341507526,160113773,847616990,-1,-1,344188915,441036992,85088274,55498430,464603127,380031222,563223123,636053294,471823265,-1,705270291,342954200,-1,-1,404743417,278938022,-1,732604509,-1,-1,724259292,695698107,110690140,-1,113984987,760944227,826626177,670104815,611881928,297233814,588348882,684671307,-1,925314374,781770045,167312995,-1,602357792,571123320,844702792,996458934,-1,-1,-1,-1,331740024,670297256,641541372,335647428,-1,533718800,331255799,-1,-1,-1,323485777,447741464,436560674,413944956,-1,-1,437722085,565969883,231544821,815545121,-1,234310579,617350173,-1,611289733,-1,906651685,34338530,56903960,172728035,-1,677174034,720510999,-1,532812790,558544007,250311552,-1,743370004,817343011,897404721,729067484,-1,531279515,614982768,163266355,-1,441510668,115952376,128495660,558378025,-1,586508197,683821818,-1,10102929,774139177,-1,996379767,-1,871906981,838911567,819686090,924538482,995350100,794853270,33409698,960930755,742439212,761968882,-1,-1,122500018,392212852,-1,-1,778767410,-1,3613510,-1,567560423,-1,-1,530436717,469995521,-1,298207171,135234039,848673718,404597117,-1,422163241,241536212,388619804,681692692,624968344,874084508,-1,851687607,510530613,293048904,665127202,285542826,579617098,-1,76626908,287633440,-1,106719480,115615541,-1,861543470,-1,978455136,-1,499364672,-1,145190083,331390665,-1,552168651,91164253,650026599,981455430,439337962,569187910,58889432,-1,975468641,882457702,519123497,596119811,-1,436517798,979357521,-1,908573015,-1,666888184,842864103,-1,878926589,233779215,234670546,-1,291588264,-1,804414386,947095866,483329547,79472516,563551056,205002722,-1,581439295,-1,482282858,567263445,454051559,-1,-1,491060395,403942741,-1,688409965,-1,-1,539342839,-1,431492793,235040641,679306912,306758478,-1,-1,392110460,366959932,235885516,368170472,844128705,457214958,619267714,-1,-1,200140092,814350752,-1,61393142,858526007,-1,-1,161194403,880485489,702382915,76849231,283900857,430380231,707784391,365362179,-1,988501785,-1,7262414,-1,-1,106122788,115605055,215656364,344713525,471931077,472337292,754537572,338611574,719666938,118149097,209160073,893557260,125153003,-1,693405375,71208218,317756856,621706958,794993606,-1,497409028,225219397,944572589,65075217,107683772,215606594,134293345,245057566,799169292,-1,57904578,842964357,947176930,-1,-1,235415780,-1,-1,181666587,-1,891403633,889617009,532828211,528671996,539403272,809007455,400037165,444197038,155117162,179764373,213401981,-1,917443984,-1,256262436,-1,891528463,102503422,931269875,230590914,708393923,795437145,291068164,499723434,992466908,99310382,776965361,-1,-1,-1,564465162,198831586,-1,-1,767400137,372715020,535466402,-1,-1,666619734,705942424,228776214,544157735,748363181,-1,-1,258748369,99864883,587105358,519900339,-1,-1,399423030,688776923,-1,755388874,847306226,392268217,-1,519989321,-1,446054721,-1,543139193,951341310,-1,-1,181507649,144589068,98509048,-1,415616492,394817062,301768418,148135930,-1,-1,572273327,534869368,779108494,769529622,-1,869166196,845248224,307106457,953214252,359391649,421779075,494213463,-1,929547967,202571450,285365033,367297707,-1,-1,421146113,98933977,905409724,344929764,840496154,202493435,51561340,-1,98232385,-1,833858842,481415429,136517371,403616123,183643887,120518867,498716983,81849161,387724348,681079040,563892658,350538447,390134954,358794173,625281143,131656758,472988519,356830308,35237471,28239224,340233047,55101236,-1,-1,569993474,621113499,412445644,-1,-1,916291999,705126856,34612081,898346721,117372269,-1,393625633,-1,-1,971008739,-1,853387268,720446905,690398439,188642341,-1,-1,-1,537740479,124133896,-1,769414746,158961654,617454589,240316297,261455007,-1,964784394,585197143,102540995,693522905,-1,353358523,863845145,492546702,398915301,547739456,789392219,-1,935614514,343504060,555000076,-1,450840718,634173552,100191937,976206436,959883089,-1,49522929,166705943,299222469,-1,-1,599377222,827545748,-1,262283189,503992514,150340004,117878026,343682633,924727121,934812800,178203440,531463748,228216576,-1,-1,-1,533352545,-1,-1,-1,906926780,-1,526124773,989358140,-1,500948981,-1,384972637,985031935,39920495,953716412,-1,807649576,-1,957606363,279011996,990117503,815855758,373868904,162572917,-1,666455135,943961841,659733374,-1,249072893,284193552,356291272,-1,-1,320242010,-1,100787781,109227089,-1,-1,420672061,749909875,-1,673598275,550089193,584746049,722533817,793519392,420525521,295730918,-1,339088597,166359369,861425016,511300402,739558765,971370116,938952601,631989742,573504558,901203408,-1,-1,145532395,975116424,883854473,807699103,139485530,-1,661261037,733478305,119810759,-1,786614437,781280851,9755162,447584002,366415178,-1,158902336,188467506,-1,-1,-1,257198024,539542077,515378102,-1,294687890,-1,-1,509606760,-1,-1,-1,428388053,729587698,745191466,560647327,414607278,-1,-1,668861670,713203995,78936742,844047404,-1,536436286,290215446,573469179,90866254,305848729,930225540,378781410,389254454,-1,-1,573275340,562587591,249929047,-1,447200307,533646948,406490723,-1,681156986,542317419,798587794,786677373,519149164,-1,484251400,176086969,-1,-1,944743872,548391053,569943678,995050912,-1,835745274,-1,-1,-1,-1,840380319,987517088,899627215,470342657,373418252,-1,-1,886109332,525248712,138455588,756218857,406727771,-1,-1,948411434,-1,-1,469226798,-1,849796876,325394356,-1,661003183,193093068,243014327,853959023,656291485,296345942,11526432,769465527,615421824,-1,332834172,972611418,162332447,-1,915251974,746156690,-1,-1,980946961,778191606,340133257,654498619,239595957,127275532,557415708,879565658,627522932,232212195,317908998,392582158,967370699,888555390,874344084,619385399,213904963,-1,200555249,936128014,59569003,302893607,486963154,831825651,510576740,994299260,-1,699949312,608996693,-1,274305556,614395114,914823801,-1,799482176,828220902,-1,113330190,511318888,-1,-1,861329868,-1,463233335,-1,246533399,744621477,27322054,-1,801436146,797032385,-1,361713280,-1,177034462,890076353,631735265,-1,-1,-1,-1,495654339,297080415,86079270,434774303,-1,665723101,341473728,447677763,254347616,237566717,-1,668597065,777824978,87201009,-1,-1,1940802,-1,-1,501863784,-1,421259380,853204308,500373088,-1,629196488,-1,868536852,-1,101202069,296984722,41978691,778859888,177143015,-1,91223957,-1,-1,-1,309452475,943657572,-1,902173868,-1,-1,815433378,-1,92419894,548371169,996311114,344193199,779610756,822342831,-1,582291929,286064305,590965375,-1,576848676,888984950,967310138,357816905,958209979,610459099,-1,613021390,43080574,-1,432116637,-1,991458894,560399548,321931468,988290038,11329290,122011591,127999927,979261450,-1,634139089,629509351,-1,519988102,933359446,625745416,340016434,185515787,294566111,903413029,989761424,-1,92960500,-1,83923904,510420499,963211655,598880309,746863499,-1,149433195,-1,271147146,-1,983642854,-1,303675305,227786496,549450025,224877026,282833326,5107065,-1,-1,949275185,-1,467119792,-1,-1,-1,-1,115866098,623399807,-1,572938608,18727483,995827073,783810845,-1,-1,-1,963162449,304698002,-1,982974648,724458950,827979794,-1,519878761,283721413,846396712,668459860,664718292,308190837,411710410,481561478,-1,325395237,-1,479745418,237158968,447642481,193131713,566141520,452637778,-1,-1,-1,-1,215979183,-1,358801913,73723136,-1,768493292,257776876,26410218,-1,997713837,-1,850361459,212971173,675750162,-1,-1,555670972,900811823,-1,605845396,-1,-1,298475088,19432039,954511248,-1,993025950,259828262,-1,597435849,273012006,821850117,-1,920555865,61277528,806043267,551350316,466053508,107416110,413423945,172375647,495482144,405883929,634518113,166464667,504658120,583702389,122456605,983604481,790777876,378432235,-1,865774607,-1,277101566,-1,677292655,882340982,-1,-1,221979832,345947858,658361238,758761018,-1,-1,480421689,656716468,-1,36847950,292136503,321250559,-1,808997174,352037797,32243827,-1,271842430,697920770,853976280,498555504,788838219,624403629,903357352,226496201,-1,597949784,-1,484421027,964360233,800942241,797709965,561925652,610830414,83269884,680294707,395892919,809031011,789953202,-1,-1,746397092,-1,-1,286800283,974398133,552922579,422424692,861978691,318248821,-1,479417976,-1,395672315,-1,319990764,668382533,878099742,613832297,-1,606841766,254544944,-1,-1,307688704,705332371,-1,310592108,692387098,93936952,-1,945080261,74881999,32973584,-1,-1,651877680,-1,706456649,254606443,-1,618659215,690956361,937267707,847610709,-1,669068987,560615094,511238952,246900240,594410989,328689217,730426215,955137422,343181517,6428788,833414450,210653359,655728929,726611075,766171567,399190678,320788798,134957167,-1,-1,244157108,799671072,-1,569190665,567359218,571190186,748248492,191302015,-1,-1,54364420,472792379,173536420,710459513,-1,-1,905747613,988895949,-1,855819448,-1,951086801,887470328,579586689,-1,843543812,642309949,806886326,853716791,582749856,565029473,165683100,913509103,-1,-1,545120850,364043239,207771037,800991414,-1,479332634,931358084,98618050,345018579,-1,-1,822503716,463785917,386666571,572437347,221734280,-1,132340129,434882452,-1,-1,354308075,359925881,-1,-1,-1,272396166,63788518,557265754,7942174,-1,20839564,-1,-1,234840220,917551912,-1,-1,911648039,-1,623056909,509529149,649099922,-1,199947586,320360151,-1,784860221,227630917,959697980,380110647,160781614,975225458,770655652,741004711,412960158,497912100,539061036,-1,593714100,728228249,964135203,-1,149139547,222556860,407968797,511751155,943200586,-1,866780401,345019122,249582903,229540768,680834706,652358010,400165613,466204699,71527854,857542444,55460840,608446336,129140583,77490631,124255522,-1,-1,-1,481522648,-1,557186666,726629627,935206348,482771743,706034829,-1,-1,965217656,145084189,979153325,-1,264735373,40095286,277711973,-1,-1,-1,715598701,58533252,194232952,-1,430219664,408942510,-1,870714247,326346530,692201905,410994592,126927007,-1,542063794,581545448,-1,81533648,-1,-1,353945923,297856721,-1,309055956,403204532,-1,-1,318863372,901779075,379423541,-1,497786397,-1,562653521,-1,570373272,-1,-1,-1,89679634,-1,784768217,-1,917958655,16791275,125493143,-1,-1,256558115,764932463,466471810,120516725,614624269,63564186,326612565,-1,95905532,164085654,-1,150900318,876661305,777562647,-1,6321843,-1,516048817,-1,326439867,202443929,919482593,712209891,-1,381827216,-1,890259671,536850506,322772412,9729709,239117175,-1,-1,414977800,960516751,764816552,388308067,-1,364676635,-1,235758174,451747729,-1,492934432,-1,-1,59390094,259903734,568620792,-1,-1,625982990,986191931,-1,561798350,940935439,-1,-1,-1,-1,187175722,533900160,652544968,954046036,905717319,201635818,621990764,337025683,-1,997905076,895631626,-1,-1,902994915,120944655,379068983,720985273,558950430,661109558,-1,-1,217692359,-1,900256698,69905888,-1,11537081,261265435,9600264,31728421,11011124,553006002,196392787,-1,927191413,292897432,-1,435591003,773604430,-1,880466718,37903729,-1,633336484,190317941,93877627,-1,791681868,463944803,692257190,589957761,-1,773731179,154241333,771487518,491627876,-1,782842169,281258490,904753605,-1,-1,219609925,66953602,137315255,450346435,703443553,139520353,932253014,892304045,901749781,478217568,414859386,39976967,472870161,-1,868254652,112239590,583777287,837571479,465575835,839616203,609043809,157986266,-1,62434081,719076153,350989271,774640453,471200579,558855354,462050704,934182071,-1,168414043,-1,517269746,-1,-1,37698812,-1,226648902,560389785,20730726,-1,781393399,497523711,969739423,388037662,324499732,140498308,841434185,502905162,969002053,-1,245151024,24628557,994668384,368242441,667442853,-1,237196677,340407342,117616927,372899577,493173392,459676334,806511126,-1,-1,744748165,-1,374823788,-1,860449662,564054253,468944449,643693839,-1,162561533,-1,892590688,-1,201217932,178391072,-1,687356100,137364590,224207418,220627236,961750986,890522463,301589578,760099370,106021857,366853958,697142420,501284123,860563764,431465637,126360364,350819602,658055041,757532784,261187129,374705883,98336587,185930184,920333084,648296040,-1,-1,-1,896499336,776020492,51478585,-1,439368192,91313789,-1,257496190,99828903,-1,429299803,776622409,-1,-1,-1,858365058,-1,252746133,457603678,942021662,816902370,-1,-1,-1,-1,-1,634981823,860288753,602406349,647543021,848406481,-1,103017530,320136682,429310722,-1,629795649,423980764,875012066,501517236,-1,495224369,399444247,598263660,347985241,321741564,85783594,294296650,72696711,50418894,-1,616951136,901618461,665117179,-1,581989543,-1,97854701,329536051,-1,80670154,-1,15360697,902615193,840091390,334492488,-1,135077038,956613786,271383421,899034474,380897595,911866576,406051891,-1,-1,405795113,424373853,213589957,954664740,-1,368625114,-1,471964567,-1,721035714,-1,910029411,-1,-1,-1,55948376,-1,671958698,795041456,-1,-1,-1,900628261,-1,765322604,-1,15435960,-1,-1,629664115,958324951,547454249,882235854,664647189,-1,346815293,-1,895627157,-1,189591336,-1,281674385,-1,289931031,425851138,824924332,181106124,648466468,855020540,-1,642792851,656904690,399640194,396718844,173773998,46538455,254513423,232666542,41033531,397840977,374621412,-1,309923245,562561126,-1,920555831,993819995,-1,844837163,838007865,125270740,501044267,143132077,-1,741901018,636330561,-1,337910781,857529123,589997771,366622060,941512581,294498457,-1,228437248,110622196,-1,793891191,-1,87526755,685705170,-1,40570820,406013244,653771762,184974114,184514938,181484529,991106888,390947957,908283312,713440518,-1,-1,-1,31333684,8393506,470229750,885122174,-1,349079919,275590926,931046610,820166229,-1,829229416,-1,615395936,475196273,313504818,-1,256811596,119953787,558277472,703434453,-1,-1,558501159,807324497,899969190,108147163,237683792,317904253,-1,651741631,692931735,840494674,85947232,401565186,257534634,171066778,417616332,54872088,-1,938199136,-1,18512952,-1,-1,275911739,-1,-1,-1,33254324,565469661,-1,614899491,222384379,-1,-1,872829788,341644254,549659252,-1,585868018,17036584,245469648,274900312,934240474,-1,474761319,322954866,452140604,460046324,-1,-1,420659311,-1,572137350,300499938,765494435,-1,893637630,733339471,-1,781241406,-1,-1,-1,-1,958265370,503000327,828723821,302400774,425398873,908627353,203323774,-1,-1,139492654,757267306,647865941,-1,-1,125522370,773869631,749458554,-1,-1,979814536,518077186,-1,539851797,-1,509601996,787672937,-1,333176222,136238478,-1,594582843,454049768,211026034,389149714,522638489,-1,790786304,74065933,372301581,532102170,-1,-1,171556172,-1,672655817,-1,77712156,946549451,-1,-1,-1,-1,-1,828463834,-1,-1,545165752,652931582,-1,880235214,-1,438475291,405814479,683114622,-1,869910730,958527909,-1,-1,339982225,-1,694993051,282232265,470073358,433111440,-1,768242453,80869756,513584375,-1,929468944,-1,623722491,67932446,466099495,-1,168813453,605282534,-1,397273535,343953468,566954923,225180825,340255066,116403954,857199065,738728141,205420189,767607189,64493985,240025439,-1,-1,-1,-1,-1,-1,740969059,357490213,680978092,422439246,513147592,512244152,-1,900953256,546833622,595290894,82592421,989389017,-1,597919745,404321873,510683508,402483301,393423259,-1,-1,774627276,951931259,336126167,586761571,643225082,-1,507904716,-1,50650812,781355534,333366687,970375558,9767391,113505247,861947476,227800449,513720916,-1,512389618,68584438,800507320,360437803,976312936,96694759,956760337,141395996,18504942,-1,561645517,-1,-1,220042681,124093832,-1,862307055,-1,12139420,198256469,-1,-1,-1,349580610,35255104,644125981,370788485,-1,353174955,586670942,756857187,902934729,175789327,-1,431220961,950231416,654746200,606446718,939428771,925488651,-1,633372669,268156616,116217454,-1,-1,-1,264830219,432487424,394174904,-1,169078373,102185439,984687690,-1,113817831,464815749,465112891,-1,417054299,-1,387119832,707452388,958295368,314672370,-1,704651940,165547237,-1,-1,-1,362432138,-1,150097258,-1,253100801,330455267,476415493,985276618,536548634,-1,271711031,-1,707098173,830628702,264967390,20426719,558396452,351423016,-1,-1,-1,954653420,672485490,-1,467302976,-1,365087151,-1,859103201,930431380,104565783,665668485,148596494,337245300,328496591,889653,18026234,-1,644356727,790044556,166421933,247116761,-1,-1,63910059,837319421,813043575,-1,-1,122273038,-1,249182238,782449131,-1,701349602,-1,855520700,-1,67626530,-1,697716845,-1,-1,330464466,157486740,718706183,332881823,195784285,-1,697949682,-1,763761462,604898833,-1,14381875,-1,809531048,434528990,79849328,867274373,382066455,-1,243607755,-1,-1,721410237,842811368,102723409,733712791,162516181,469749105,430323039,397526379,897651544,787174812,71228886,-1,847810869,405700376,746884206,189807925,450593296,-1,735932492,740476702,-1,-1,164347772,-1,973634248,-1,585859668,913707280,-1,154823914,758270502,647642088,892984019,275064562,282656476,95509680,-1,255421675,730353418,-1,331196918,505575985,814832154,630245138,146126431,206808751,829595613,845497580,351723820,-1,926535336,72908889,737997026,895794944,-1,-1,592023527,981681628,999170494,567493399,-1,632734831,-1,444693756,-1,-1,-1,705638094,-1,315690622,565431031,724271473,823354905,442592657,687655007,280433418,-1,734366561,-1,743792473,877826359,73455831,165005863,58812256,709296028,-1,865658728,479927554,740965211,116935280,608008639,-1,-1,448288804,821233659,-1,809992440,-1,-1,858340961,147116087,783718605,268099790,340599106,127325439,635381379,-1,944773437,638380307,819725755,99457080,579532073,521261935,-1,165147945,177611512,-1,-1,170363612,985844990,46429557,516171471,378289446,943671438,468856326,502349403,-1,556285678,-1,255342956,-1,-1,-1,290146477,-1,693790432,10561559,814103478,644211672,552492417,-1,747973588,-1,-1,525515516,177885503,913444888,-1,349630084,671656430,-1,405080713,-1,839220394,-1,86702637,-1,370484746,53601006,665114279,-1,748091015,-1,12147084,250142485,899888311,88122177,627347926,-1,387919807,-1,193524600,-1,309833172,-1,965718276,69315127,237628670,-1,601114547,449327942,584055241,-1,-1,574365710,-1,-1,304130412,330286503,258680433,472242942,423218916,573838448,-1,791172658,561853876,135003059,-1,-1,-1,-1,56768944,-1,124779256,725803483,493260232,131113485,-1,371743169,-1,913076725,410182785,-1,-1,676308427,777589507,-1,947049002,109609853,-1,-1,47265214,795191600,510705612,-1,237560951,587964805,227147837,442177084,920501776,207394320,73864002,-1,360734520,492483214,805158020,205211390,920801044,371119634,372903153,150545506,455770364,922637921,-1,185938159,151297544,-1,264591920,227150630,613480586,586274351,-1,130089681,882101451,809488966,99958827,63419045,426053714,-1,551474610,512668352,806472749,-1,276663804,905521428,-1,978566751,188376603,-1,-1,960681925,323471191,617761549,787722668,818739676,501534873,215526730,323554011,374384564,714649289,755027099,585497695,768700733,-1,498832361,641244689,-1,519653839,-1,621717290,367736564,404912107,575777792,170095460,479358275,-1,759346029,-1,753938323,994744210,-1,322926333,470962739,-1,164963943,12207335,545355011,981243455,747994410,374813674,77882329,572070361,-1,64032103,520082363,-1,846501573,-1,-1,464812209,270726840,635356664,965382370,-1,754017192,-1,270219426,732893469,785816941,-1,134787929,838422660,564382736,109788768,235716583,898399964,741380445,258245801,-1,803192780,675231590,831646148,69239862,31687335,504118767,345752967,-1,-1,-1,-1,737684910,334784705,-1,-1,961252159,152921404,-1,730770962,277055394,-1,-1,-1,415261347,-1,139679426,46964685,-1,49227266,-1,191631019,323258855,315459571,858128412,771142389,-1,599234837,930422348,712662191,566895722,701675131,821536004,314652825,703425914,600090529,-1,901306479,588927643,-1,681746693,-1,139979009,837317899,-1,58835545,204168224,416231226,737428765,791613120,371853340,-1,551318189,869475599,589556469,364977765,-1,598715363,114510342,298829697,718222875,-1,36246069,951992598,539685956,388223773,-1,777335489,401274840,583508058,-1,994851558,-1,205177218,978599468,-1,-1,876843112,-1,-1,4580649,-1,-1,-1,303684754,-1,-1,691813808,961315555,466655037,765877288,926638821,805511353,961344874,-1,-1,851163490,192557168,656512897,376672484,-1,-1,546309450,743796656,284233393,-1,707349214,285040997,557394236,68050543,664550193,102886068,855793416,581618954,788419838,297244051,-1,-1,144494381,368772835,-1,390487993,741700450,-1,-1,403567159,811757623,-1,170293548,319663379,572708561,18843410,-1,35015359,961893096,959073532,-1,315149388,815970750,629152403,6925706,990970554,211205972,681691515,-1,257753876,547987256,-1,169866124,788128862,641566438,379839858,558827233,181920557,320152717,-1,174449272,-1,696642099,940352867,911868889,-1,-1,72366205,349587766,484564201,416359507,945160910,445079975,563798992,774947543,112611128,-1,944853417,836921612,105383444,-1,-1,26144217,353431079,-1,33125179,822069766,-1,451812902,-1,984736887,216824683,80963650,312358281,789693239,667863417,-1,565102176,2679235,-1,406898227,378737535,-1,751768527,-1,-1,719483313,-1,63952718,-1,-1,688945737,528504203,-1,982955054,-1,179523920,-1,288474463,942932913,-1,-1,830276232,182674004,579727714,-1,575409191,917073147,-1,821377909,389370348,68391314,534648375,-1,-1,512804334,484672547,538472192,918683766,535331553,-1,586803183,846112967,868044807,816330753,-1,876980097,-1,414301073,638338685,409951959,-1,507982149,768862868,618774389,680858805,508851719,-1,76104663,810702568,863911947,202197946,557920085,819202799,932284119,973415882,220095454,426739784,458335508,189229567,303010233,51125452,-1,-1,411302555,266104213,168240991,527121409,767472759,460260553,713298501,594215920,533352904,554443595,58982417,52732713,248244182,194920670,-1,448936064,812161007,187347268,489977214,-1,851349540,-1,-1,12613858,411681027,646998750,789082566,950543791,303983776,353494157,-1,-1,159624951,-1,781106166,177985706,805472360,849629621,751674340,-1,-1,-1,-1,370054800,932737687,-1,708895228,779648144,958524723,540118518,21462077,-1,241461261,-1,221895267,-1,569612739,-1,-1,913017113,786959250,448342850,-1,185245967,-1,-1,749960192,316978135,-1,471938405,-1,151350888,103161310,981225508,923173503,-1,-1,292035605,430811614,864575567,88520493,-1,891950122,12620576,196944247,-1,473214944,275429188,298659447,64792340,-1,72053245,922828594,-1,709467961,291993030,15109046,801738903,-1,-1,84987372,439540991,267017348,755432680,-1,752446467,-1,13890123,173025672,837787624,301509653,53458552,796428685,834382891,400925394,43634944,-1,-1,133615072,524300426,283868516,56209390,919408602,-1,598897309,908875562,825665157,-1,476292673,114314729,-1,415832011,-1,939544226,701562358,541998887,828113487,767013515,-1,71033119,976511178,191964807,-1,171153294,506740443,-1,320287324,956226118,-1,387861064,324411528,232513285,-1,531947657,772633536,518972579,902799900,443045537,277677229,583822889,140075571,-1,878358317,-1,-1,-1,313846921,516691962,335694490,761816459,306591946,591301167,423152959,680077404,13717524,953368958,882173599,339804046,968761273,681242921,-1,651285967,263079722,888983771,579586650,58236101,-1,388591166,202645388,846128330,205583146,602081505,475913645,425965876,878449197,290181920,-1,-1,568424110,481756774,-1,-1,917117505,889486575,-1,659292319,-1,700862977,223070583,911340920,262798628,710471458,752616667,-1,425608484,162710996,132041596,-1,376418179,989743769,521031367,697354353,649924060,-1,-1,318203176,418247255,805739714,473915991,261174491,690277343,897664250,503904440,364957455,-1,151274217,172511582,494356565,817278626,641025074,-1,934275464,700715812,511827646,-1,823232388,794319899,943332187,-1,404756538,441866114,-1,-1,67876733,-1,807686519,188587017,883087620,532388096,983091310,292606330,-1,896635297,-1,-1,985969304,-1,727444916,538185159,-1,997267857,-1,808460508,-1,929189332,298027567,444904870,667680121,654504208,794783247,906945461,-1,706784254,688323159,308008546,466016692,-1,414225611,-1,391572387,-1,979990175,-1,-1,248943309,-1,-1,552431021,92722676,492262541,41543483,-1,526120563,810778218,633830251,158322222,-1,437804946,-1,109731689,817060187,175832685,591135341,-1,-1,-1,-1,778695780,954569693,-1,965224442,566624390,873146020,990486569,-1,482529513,9916987,433584293,475640581,639301030,356645169,159675998,-1,14915353,-1,737206929,246025324,783733046,-1,-1,-1,607499064,525557050,427814440,629377646,-1,689035149,780742914,584529673,-1,88220603,-1,293092833,-1,312683726,-1,748131447,231015865,763801256,661158803,25201724,204711434,575049718,-1,496060859,965055742,865009074,321456980,784377252,511762538,330561768,-1,150468191,-1,203608734,-1,427818793,-1,-1,-1,226363369,921737886,-1,755015459,-1,-1,645930008,50717292,516799173,-1,327419268,-1,-1,257044579,243456481,-1,-1,-1,356621401,776709497,701816129,359817011,795552196,-1,825873123,328694528,843620798,226131094,228846068,615847411,35079162,-1,427935976,439731478,132232004,688721361,33561552,-1,999898006,-1,928395227,-1,-1,-1,368945487,418548204,419475861,797132368,687912569,174867216,613966462,311562128,803623405,586908026,455327162,-1,-1,137696594,929641931,729006265,661208927,-1,226432277,163334839,245686422,240052903,758525009,-1,-1,829050046,265991958,-1,449826389,92372732,689098272,652409088,708968111,897296312,605749870,568729084,726330255,-1,6723822,361002106,210935167,-1,933903165,721482799,377069665,-1,986620310,-1,569824645,533405265,223075773,112403493,464913458,-1,456630807,12425790,-1,876293199,724748634,180486862,-1,-1,716901129,-1,705550966,779134413,523220679,842896114,-1,874921246,754238032,456474443,469130487,185041270,604475993,969493674,-1,99664795,828050962,349980813,436313007,-1,921031264,691694055,674265947,589067753,395432386,349126025,153542369,943723605,12146725,710105368,213474842,832219216,121873934,440987540,841265910,-1,-1,-1,853224051,673980866,893003031,-1,591584999,116609369,26369342,-1,461334350,416189706,35511165,849835417,327115956,295973473,826524941,215498403,422646596,426042208,-1,937414401,807664238,169764244,827390941,542957025,-1,-1,683374984,101677994,-1,803641510,-1,644915298,-1,329306489,273648320,-1,628862177,964521298,686376444,-1,-1,898179450,-1,526009983,-1,-1,320233626,39111715,309000184,-1,-1,260861084,186442953,-1,264204072,-1,278824606,-1,814891739,760301586,244281394,236659219,173033805,-1,-1,-1,-1,443737439,869852491,-1,844588138,-1,-1,-1,-1,512613948,-1,-1,337292860,-1,924935621,-1,-1,684992512,993578045,486912861,199708390,334955320,-1,-1,-1,66082769,749589984,-1,332482557,895976378,14595779,845796232,-1,893238714,224971160,-1,-1,989304592,29863934,728385786,650664371,-1,-1,-1,-1,511766990,534903326,376290845,354967632,-1,968151689,352464764,494385931,296940582,-1,603744843,245946423,209595517,926122440,-1,606360893,873331669,749005867,736550359,75589531,-1,820556661,-1,691096820,292103389,-1,500052395,-1,727328158,316138749,286569547,696291391,495654913,-1,644055849,195976478,978192613,-1,902561843,-1,513537279,550962755,-1,669548480,881761780,-1,282350525,187269721,-1,-1,980550802,153735427,561854670,603156841,-1,626202,697540583,878306569,-1,390375754,-1,-1,365145238,-1,993796846,240980126,-1,74718422,898613374,-1,-1,456116658,621167093,19820743,263342982,78998295,263073878,427796820,-1,369699784,626037178,-1,66864766,751266744,-1,-1,459382902,334436772,-1,34140221,574070926,-1,-1,753290170,530119159,-1,803970936,150909518,432276089,732747700,-1,432468490,-1,-1,-1,673126790,-1,72861581,32281154,845329689,424028122,914403259,695594598,409075338,237115773,34898196,565351777,482830093,443272041,-1,-1,424706678,222526927,729789026,241207070,-1,796464963,948095392,-1,88392243,-1,-1,-1,636996758,976003069,-1,-1,387426821,615101870,625692879,862129187,466734916,425490910,703985498,462762102,35057851,650335653,362183385,881240039,784593187,-1,564638694,460800118,451337226,795453362,274586907,724517984,522752637,-1,410207630,452325342,342600088,-1,726839213,434312267,269322629,709969677,29431528,793050471,-1,-1,513443024,61978179,122303840,269414481,745732544,710952422,519094380,637918867,697425429,-1,-1,252906517,602526400,802490613,511831290,738512447,-1,856930257,918071526,-1,491070962,891717290,762771692,716432629,-1,521417246,759685617,319774880,935532321,175219718,123420694,758203985,-1,835496208,462548870,-1,616230308,518064167,552006852,972139500,258871739,775866656,-1,442982771,-1,-1,396150838,661404308,-1,824086907,762205176,265871035,-1,854016829,-1,-1,684720570,-1,47417999,962296037,350498201,143495395,558797848,-1,479890022,728871198,415931576,973043223,387688770,993190412,291013844,553872696,250293862,362487939,-1,661817361,-1,66961188,-1,733153063,410783849,621816881,209711704,464037264,-1,615057084,481423768,618323889,-1,515058813,922900304,927322969,-1,-1,139685430,260923050,394195293,896460080,446335428,884822791,914055802,390177059,552344980,877743993,-1,-1,-1,221182087,527222004,303852886,576123608,314138149,57380647,27502712,576793011,-1,824474878,780051073,-1,781548236,-1,50720088,63728106,-1,495064135,446115273,-1,190558545,-1,146590757,401969010,923679207,646700956,81552187,685236080,-1,-1,438393525,68596797,751795188,882625436,459910030,181368416,-1,580605091,454897461,281920229,885915935,-1,478269743,117526308,853089270,641990859,-1,-1,756714046,526040934,21467967,891041629,-1,273961647,66329771,809017990,-1,857291123,91148850,901084647,891048727,841259793,-1,265029047,-1,721836575,633202586,-1,198828532,-1,381699609,878020947,153292637,179816828,386593931,-1,360795012,242969916,729865678,596953386,214734901,22595417,799507173,429525723,-1,791265238,-1,-1,353225195,822148335,64213705,139970970,-1,-1,217471824,563427830,-1,58996004,790294712,-1,-1,-1,28197193,969216489,-1,720336768,971267163,978780387,369117934,35139368,730336724,222999734,423795834,666150019,911461167,239878111,449111781,618284805,887822334,-1,966990682,240829990,-1,871746507,-1,-1,-1,138540032,250213138,-1,-1,782341877,-1,-1,285770868,434065079,421277848,956893026,255472344,-1,-1,945935311,104705656,535773133,401991610,218280141,586895090,388295413,466573168,423868595,-1,892737772,96264294,678461296,390123109,754891842,69231781,312468838,821877596,80102092,688462410,431122117,953192117,720885315,208914565,31655486,-1,797545604,283088341,896552540,-1,909629609,424054513,593070187,667886527,983783009,813109724,705492936,469018326,-1,80903325,953059442,648564909,344935298,-1,-1,469510889,195169084,655719713,24996282,829949804,456356990,-1,554319017,-1,682407804,462443906,722622899,162278002,966567438,143383154,964831524,-1,291924228,-1,245925310,-1,671216177,121049300,702182251,756719169,464022155,445061561,-1,-1,-1,910270626,-1,822718989,621403415,775384126,26507106,-1,955411282,600125237,558311648,75090617,303231297,415496724,804325815,296087625,225963554,622540298,548497794,-1,-1,978686829,-1,187623499,710301853,573160269,-1,558814201,870719651,-1,739585275,276464605,434487032,962302130,-1,802361546,433908484,-1,555257567,720756788,103039546,369739710,-1,17530420,114949071,758068481,633581360,936554442,847616086,-1,135606350,546542386,60636448,639151118,15307924,-1,-1,710324237,678713165,381480451,554034763,-1,947745270,-1,-1,728217957,816061694,256200464,-1,539323402,412388857,152935505,46151353,872401426,-1,927623532,528833075,483844989,439596339,-1,481862890,954773003,310967305,529763845,64625841,-1,-1,849883814,-1,-1,199345513,-1,393847594,535338972,608278058,-1,471726209,576354040,441809720,206210228,-1,-1,369690430,544145404,501459118,806008089,-1,880142696,505336524,-1,491973988,-1,598172277,-1,-1,553302945,-1,-1,-1,954838418,282241073,237046505,602704853,439655335,-1,-1,498948269,608065963,607525053,523854014,163486107,182797769,645100304,195652312,230989657,741670945,197520635,241541208,-1,177655709,923264472,361173725,149331481,254411116,-1,415292636,271737890,-1,730487803,10851741,-1,-1,-1,706415711,661139220,-1,-1,-1,347248082,682044752,-1,214725045,761102224,887655763,-1,497577524,774528245,384928081,345465622,-1,-1,60464670,416482676,474697951,-1,240876017,815809379,587698720,599629596,-1,742463608,591579095,276694486,431770300,-1,-1,383701831,407402573,-1,-1,9259802,499542664,4368291,959913486,619814191,281289379,372495058,64956504,340633962,302054672,574539469,384776663,702228319,747621250,753915979,195754535,-1,-1,861838556,377892582,437109016,999057696,613177880,46431928,183397581,394770605,632879195,292757261,471206420,233206527,182741513,145308504,-1,-1,183262226,399437642,374410749,261208286,973935289,617346386,-1,168924977,546492114,265194485,-1,740822710,-1,102743663,20209030,24502209,288284011,976810837,363625078,437375941,119305609,659838351,634490436,-1,929177964,-1,954914671,909919445,278741355,-1,707220203,-1,504350654,820135076,816087417,699947994,-1,287726652,-1,432385189,847622926,301485238,-1,-1,770311913,785630424,757059713,-1,937091919,235268977,445271291,203891469,395699887,399750528,-1,939570894,108511299,-1,317911326,356492422,-1,-1,66816092,135436534,164866084,293970532,706369523,648020913,580129234,71608441,588845409,612919718,-1,372857750,-1,723307883,725217633,-1,98241237,439958060,-1,839921711,1374485,235357016,476600661,528878130,-1,40543792,223299081,742044422,178138228,-1,-1,749952536,393135446,303915261,607519932,623619428,-1,596147356,466742951,996897802,9870925,78307263,-1,-1,-1,501639544,352039298,135205328,13518813,-1,-1,-1,-1,783977368,-1,-1,-1,428311373,382273161,547221850,-1,-1,370525895,-1,-1,540267159,725096556,256978861,246015689,992824421,365188093,97729325,-1,136122827,920273181,830688230,-1,383561489,812609563,635348210,929680005,79841578,-1,267578608,86519851,166666004,349398904,875453394,576938742,775610201,325338307,81046438,720095248,477672282,292503761,788341037,604790831,-1,-1,591829779,535179850,-1,331777125,-1,720933302,-1,333509745,599935293,501419117,119833568,-1,441714809,637653247,246333406,183005854,279709242,145646378,628371634,160939105,696445066,-1,204975651,-1,93861109,-1,532697282,-1,148670470,908671432,-1,-1,929105273,290599444,-1,179485301,810951110,302824398,63199100,570437034,452707331,24246173,585597430,107638244,640196948,929343670,-1,350107874,753316867,441586460,-1,-1,-1,172492160,-1,755253457,765280078,868374270,301761825,796240139,199601223,891290819,906315294,-1,681091829,276271314,510473430,816963967,-1,80292691,-1,-1,935736897,287461314,759701465,-1,-1,547102372,528828942,439575417,-1,638624583,-1,595076736,-1,937758409,526436760,880841430,260159028,825898012,592933485,-1,609318958,-1,997211022,-1,136553222,280236548,504622901,272803906,669826727,-1,353129961,-1,-1,752036003,-1,137773098,779596726,581620714,38034677,769158106,60242055,203553443,344812406,821838866,368214673,292468318,850663975,838022052,902703124,180034441,-1,657860865,971651424,-1,367895166,82074877,465443239,419642551,258095072,942864252,514988292,888817228,164066464,714387703,618519138,775612215,67664574,-1,757084222,534105978,-1,-1,483844291,645546991,-1,359810929,836927782,808919506,303804669,-1,858778351,732076280,-1,-1,759615634,630514180,949339024,593713202,73453421,960289123,974522492,397889095,-1,372804748,465793639,-1,31772129,476750014,554316719,524907600,118897149,-1,823707886,-1,956988978,939733530,-1,260818383,820513580,855489656,177438827,381744709,363132543,-1,167246516,223090159,-1,90301434,181867626,857951957,-1,65952872,-1,-1,546865480,366302085,97472784,421681915,167977751,-1,-1,-1,933864047,670834678,389431648,358927094,-1,573197555,-1,513215812,363144369,672210000,-1,244661180,439689655,52941512,-1,846087717,931102777,568993456,19473803,-1,929266332,110943627,107468816,525566691,785196532,36244517,446976872,-1,499991532,700527028,605285595,153787258,709944404,558405483,32391546,-1,684442513,553204756,988247053,108809271,104496450,234896871,-1,407661092,595583913,-1,-1,825863571,539508606,977599588,666778797,834196421,-1,660722194,536523246,437735350,988918936,-1,-1,824018659,-1,-1,-1,261801832,552631243,509545234,-1,-1,-1,-1,683893853,-1,-1,-1,34210973,-1,374100925,640729998,759176453,-1,644137723,580393488,266971804,844680449,333250446,-1,-1,892103048,409488377,-1,73557382,857352134,-1,16934492,-1,-1,827196779,127601340,854788452,607718195,-1,525419921,646508120,841315088,-1,803180790,7229514,66795386,-1,-1,87212590,-1,995148427,323065261,218963367,950458063,39974672,691311088,-1,859992453,163328636,609223384,620800523,82951460,-1,-1,-1,619801115,769706620,42667073,122227996,-1,917453609,-1,-1,48467601,-1,-1,234211471,56156511,688359446,-1,821579747,-1,358455020,863356231,800715047,-1,234246317,346843681,200186068,842309770,497327835,129579314,907633693,-1,176354943,688071852,952783612,-1,539508723,-1,320093381,193044568,-1,-1,52534603,-1,362333949,325834511,-1,-1,145251847,50129190,600680532,303444790,803529878,521505992,403324397,148959715,246706267,760492389,823238231,-1,-1,870329613,747571261,708326488,704433266,355013187,509654982,715200657,927657456,753587337,231672868,86266696,-1,721882080,-1,901233676,536046455,667854253,-1,321270735,323312597,-1,851004420,-1,-1,140271871,302879219,637789672,439949884,582326189,-1,-1,-1,400673619,754489755,5931195,934255092,27991035,-1,838199148,-1,-1,641603948,-1,763997224,543960388,279690030,-1,78061876,-1,-1,912111958,94438423,423464415,977509709,297815694,943154463,751836407,-1,-1,627082190,226026873,-1,36316709,940230646,121869789,20179057,-1,371743704,41812902,-1,-1,777743687,943901460,-1,441156539,959393962,868021364,607754551,-1,400198095,189593756,-1,239435809,988861965,536703625,593256136,832294378,659537555,674817653,758005789,-1,443667680,679522322,-1,-1,-1,633276663,450230942,-1,324328671,552475014,885255213,425852828,399965765,-1,-1,577644661,210050170,909246430,-1,993734121,299609878,476751712,720796100,-1,832485479,453073399,202536812,728779087,401446319,550050947,366503276,-1,265517250,-1,38953439,315168538,42434508,-1,487187300,529624652,-1,405619146,-1,-1,467633954,-1,361597101,821284043,146873222,901666477,563656808,-1,52903101,3604711,968885872,-1,-1,793693106,-1,511842142,717421361,862493222,593278328,-1,700708512,180266004,-1,789451708,-1,-1,508489370,862138410,964799762,-1,854733168,818373411,615313039,-1,662896739,154478444,-1,706027236,123735996,-1,674252409,446022051,748253516,-1,189100022,21339208,10218203,18423232,635123490,-1,735730683,925049514,147529812,852392894,800147122,-1,-1,246817252,918584468,-1,843650961,369225609,651349673,374743088,334674236,173948986,67047186,302648249,120483079,51475084,296495361,614691082,243405181,976277949,704808569,157289278,789290096,67188030,947205801,692618909,176636940,-1,989691334,-1,205784539,442735139,307673524,771578938,-1,409635781,600029484,147523055,579310822,299419009,506617077,945178962,-1,-1,-1,307366161,488416760,-1,-1,228715244,594098300,511442889,225056189,279901649,157443913,-1,-1,111885541,-1,369156079,853723882,99971593,657705433,709737297,616092875,-1,739925273,130444166,-1,842110384,462360275,-1,143537735,-1,182295597,-1,14672271,988264658,323022373,38918504,991244787,205850941,-1,603975357,-1,346612681,503324655,-1,303459199,338005678,84785232,606495557,968569874,369065810,-1,882372637,861483915,-1,100090018,383129637,154456172,808323380,272732942,985918932,86119503,73265525,663466851,218579720,38438589,36826076,906492709,-1,423647610,118452153,948427124,-1,-1,213233384,211606699,302734089,496140589,485616635,-1,224873043,658720283,23678171,606702008,706593544,-1,-1,-1,248365622,-1,139317302,289881880,234479950,781803871,445683620,806273997,-1,990333721,101919500,348216110,654772353,-1,151398183,429784112,-1,250538438,910001283,772809712,59719135,934819274,939213999,694622891,-1,850300182,-1,690705534,601819376,202453220,-1,389660961,406828987,227718011,705446176,717367568,480066968,-1,832122896,313909943,932202767,-1,674952749,879436163,396711357,372934723,668633506,456282135,322238949,115569493,-1,761598241,56200180,60462811,31439096,44012393,472980391,211461609,803231737,-1,502340618,-1,392492770,543734368,153836604,-1,305600157,184572919,-1,524671373,128992886,62589872,39238969,32580072,221804708,410185468,-1,930394401,843823497,329224066,-1,278608605,697970773,-1,635533824,288781992,146463691,312491586,692834715,-1,855125446,318576989,-1,368787496,-1,951343697,-1,375685186,793373634,205516463,-1,-1,788340082,-1,-1,419130761,477217067,758763063,281330961,-1,713054980,155782342,105949207,614816128,-1,896165579,947076576,842114681,-1,-1,-1,68354796,195778983,974571401,716272008,421424306,11290127,597552996,309859392,667770380,400489175,-1,625905979,281581198,264730818,136459127,383011260,796609585,692502616,342057800,584343419,-1,-1,311850660,383086002,865868598,253346500,233274873,256740593,-1,657206558,-1,893262974,838309839,14388551,330324890,440552410,245579920,628255890,852017180,-1,218437312,264102146,133387867,347982344,47930548,931588825,304333869,-1,78459273,36391691,-1,-1,-1,18538929,320580303,486074489,127926383,282284020,-1,392303259,-1,-1,272882678,978291158,326243443,27731886,-1,-1,291679641,701588219,-1,427556650,310666092,948415759,742508397,-1,577279230,-1,-1,699740744,147927769,322542672,396806009,18639850,-1,-1,992561374,828211707,142930517,311103976,351122521,395165587,690482681,861851242,156337560,-1,516665190,-1,-1,-1,877541261,-1,104647371,12187206,127922526,-1,131573877,94198986,604346917,313579174,750312976,746432373,451813125,-1,-1,502833167,-1,-1,719137641,86520460,-1,861048370,68504517,474960887,-1,763078055,-1,160439797,407146470,798971721,985754306,977555738,-1,198428136,555492542,820883162,360366900,28167377,-1,104367764,771369172,115465942,-1,897837052,-1,516294516,507564905,-1,979318777,-1,311343245,341836383,601665831,-1,41317180,611111045,568752305,892048356,544294995,727022582,912211101,122764347,182082108,433847301,947070714,-1,818198244,446225439,278463054,989431044,212009001,493029540,960887081,376832758,750519102,-1,27890301,-1,226788275,384336437,777868657,979254326,-1,641035123,-1,99043771,365332820,274810114,646006136,966062475,277162293,811714631,281642019,-1,303856632,994682796,9921056,40326980,594932454,158321046,618427536,934842624,193175658,7438480,394417272,771851744,74257162,212286528,-1,408248227,728424568,-1,795476208,638486235,-1,848317641,904863604,686956281,637636687,900123550,-1,-1,7610739,421666324,318473980,612335855,-1,687796927,951492109,442984766,-1,-1,458608926,495494269,-1,687933450,640226163,234006115,-1,216553360,-1,647408614,48841906,-1,405825726,-1,659173129,-1,914428336,-1,655991858,95090566,343802229,-1,-1,43471045,821150280,318071857,948094641,87662660,-1,185735547,-1,596872570,723516838,158533314,737342300,182277704,378039713,944330344,58808102,58040006,-1,-1,759831581,205035333,404424429,132227952,-1,631238085,-1,257051567,941007474,387036926,679377646,515557032,119699956,861131840,-1,-1,555585268,194575431,638218421,-1,974096413,480401827,566777622,428593667,596433901,921023777,688187151,947291437,-1,890196748,497090794,489952240,934685805,830986304,834035196,-1,477658529,261409443,310262334,159239549,-1,17590701,536459173,-1,280113601,635450928,-1,296775551,-1,-1,637176428,780053819,516616756,571879173,751089164,835360508,783995918,558552836,915009266,-1,341890615,-1,37551466,-1,-1,525856660,885076560,-1,-1,-1,159243287,901067188,721531741,479620986,994218795,-1,-1,-1,996417641,-1,649347941,857483601,-1,54425540,842125661,-1,112748629,-1,-1,443166437,-1,242116188,903707994,746517697,916895700,124723387,905758550,-1,181836119,-1,45253824,56253726,235827507,400820153,292571767,862043617,-1,874085127,129905571,791297696,303612665,876264107,612931388,-1,-1,818547721,-1,-1,212940856,-1,-1,-1,246082137,494325796,-1,96283299,-1,323012120,436302679,988374597,840131937,226639580,-1,40332998,232114014,-1,-1,324398783,228225,498270777,359513064,338536497,-1,-1,942507237,351871058,936813742,370550362,-1,960530259,676108126,172762200,594774762,-1,264278821,-1,502981290,863731297,-1,254906240,-1,243348761,-1,-1,930089269,-1,-1,183332830,727121689,430206095,696119374,-1,241571406,972817541,124584069,-1,280409783,-1,-1,-1,-1,70009821,990695823,427546548,446433063,599790305,604731139,979773363,76128855,142903111,-1,793588698,251388304,-1,883265757,-1,-1,623333489,92981421,-1,673384942,161228231,735103220,-1,968550760,-1,-1,51597968,369243411,304714065,413321005,601314342,-1,56643082,-1,185026215,-1,-1,544650920,415245168,809504263,698700593,-1,733333302,-1,746808593,111101387,716447884,772141825,338727996,999748168,7649857,82065873,788109540,65147977,721217021,415426734,392386925,-1,473751866,117020443,538400237,33064525,791257061,84173625,652367751,317828154,-1,704921817,-1,352966542,677180054,-1,-1,-1,44057660,797118366,-1,985566777,980246942,217860877,598734239,-1,48585117,761874913,237438078,176786190,605674228,553516650,748157821,481263276,178539567,313233121,591981244,522712667,-1,744455018,43542834,265706123,-1,860648175,634348697,625639884,929211178,-1,930646621,389147239,696975606,108010198,932415468,-1,153650513,742573456,920257441,-1,508795303,263141749,999250950,504598476,637539730,963999042,-1,187923923,319618145,-1,133857896,513569603,413158276,455466674,229029352,537768839,253928274,878099159,-1,885367927,549958435,4416798,-1,826969727,48416703,-1,-1,880077525,678208206,122549066,393720599,1925756,959398561,516012274,330592093,150328072,441242514,284745913,-1,907116084,-1,-1,-1,-1,-1,361630826,794453517,-1,90633992,-1,56298587,-1,635915937,759883852,364229286,505324815,282551786,-1,44839635,473349441,436247947,-1,255092225,945131737,-1,-1,-1,612482129,-1,243523811,734145220,-1,-1,890453770,586962085,826753914,827653161,481651719,34677014,200510887,-1,649846445,798456997,-1,489503167,-1,94509903,-1,770879663,886266679,581735623,-1,601399836,-1,223327783,909963394,-1,-1,695395892,-1,19247409,455402978,911471099,869287708,882992439,149205244,917431862,978586208,287668061,-1,-1,967539359,-1,-1,415453660,-1,194264744,-1,333207154,816136839,-1,132607242,897384686,837857827,664065374,-1,-1,261466897,-1,113109319,755069570,-1,653977991,527697835,-1,770997779,983760464,-1,302411813,434706676,-1,-1,311380875,-1,684801895,-1,-1,471489266,158045070,-1,-1,295026797,-1,-1,212844065,269149970,-1,894162061,-1,-1,809238279,213382828,371071230,458534155,465548414,337107763,-1,910022429,26921374,-1,-1,-1,-1,736947074,-1,78319965,44967484,294285363,-1,447950112,50008433,351674794,852999479,246109450,323138551,20274487,-1,133361271,984518858,-1,112778515,421338890,-1,934553681,-1,824434672,324582641,-1,129297172,173552237,831136162,302739186,-1,518966487,4531589,757029454,-1,639779062,826902759,251609134,451501268,932099049,218463876,115274374,503266863,739403937,898744031,-1,48386697,452703686,-1,-1,95579472,463817933,-1,953040120,891961454,-1,-1,-1,564656836,753248926,79061084,583850860,805450083,679055259,878391143,322473452,-1,933842702,20893547,351438227,-1,-1,52156419,306714238,27746995,-1,550527299,388937850,-1,833196972,276570758,40887197,353524280,-1,549313891,436272491,525079372,118506788,554595084,-1,-1,906551785,-1,392334530,712774982,754978114,-1,25871971,138951788,557593119,701037363,-1,56469500,-1,281961652,827703742,181682564,756942903,286558511,591316475,192875141,382026143,95934828,-1,194057186,-1,758796826,129307447,20891019,28250392,884194919,-1,114771957,511151657,504793688,93187910,844718848,382363928,987266375,-1,-1,396632026,518349206,457192591,476557147,-1,-1,543475470,670172095,-1,-1,360053610,767822957,-1,371407849,337152958,435028474,-1,40994510,314831996,-1,924137747,590665225,793572137,308887129,57073385,995622628,-1,-1,629648653,760626563,119046152,963831655,439252696,-1,-1,394902152,517319629,227756044,387654233,226825836,853856401,264034922,742584957,217937888,542137743,714391762,129549402,-1,590360833,252908163,18289155,632414400,113574943,764827008,581553448,751473327,823161642,230173286,254115945,-1,251036862,60849875,-1,-1,488551827,-1,-1,-1,-1,11125109,876740910,-1,-1,642690371,842293028,801160634,480325806,536599767,862424736,847868356,-1,282761821,783989146,-1,751823108,-1,407586824,472082575,821350526,589534124,126381905,147121258,714587142,308335820,-1,-1,756093825,490215393,576053890,-1,810338835,2653869,-1,265263300,661032871,257899073,-1,-1,954143035,982212537,235688732,-1,-1,-1,-1,895559704,672233475,-1,-1,38551235,12141517,-1,535957109,136526779,289096015,-1,618849938,-1,427704252,646960185,609344468,500030512,672320597,-1,-1,-1,333038303,616487683,896681957,86364182,891632084,399364235,503650465,747402751,34422653,-1,-1,625449746,380393127,628959727,667009759,-1,-1,-1,388714894,-1,-1,846591608,791501020,-1,436948724,609270902,-1,226519811,231859526,654042558,685575816,864320380,659588314,462916278,-1,-1,751317804,602709528,-1,176315748,-1,480521177,462220925,375377059,136458644,-1,48295752,15990768,416576341,-1,566840626,-1,-1,281042235,576763744,982471016,512894873,706226614,56203429,919877038,196852731,948464197,858898392,313669588,-1,730719890,760318740,-1,849340550,928767492,-1,-1,-1,-1,-1,-1,101430565,798462518,403448067,-1,375697372,408222581,489371387,437692891,586840856,422635571,240644109,673816703,854143626,-1,521313206,281975476,791891295,76101405,98326299,802459047,-1,-1,151880412,266281554,595644976,-1,31286316,401430019,-1,251730188,-1,537389235,392850188,-1,299845269,513118512,-1,330252525,-1,-1,739027169,855833786,-1,-1,-1,-1,-1,747149555,209663081,615234185,858392942,-1,460529487,295014090,267824701,277374912,-1,304780559,-1,593058095,198422324,60464245,-1,241980575,-1,-1,252079413,-1,443151617,291096773,265265802,263913282,147913779,584731684,517372224,406029652,436653341,-1,834062899,-1,165279584,140887444,-1,635458292,212846631,509528420,354829730,384766966,-1,-1,-1,820382369,765312895,820307946,729458518,840265837,560216433,191367770,-1,755318592,122699393,-1,428086147,164714115,530746869,-1,912275276,306945978,704866070,-1,958451780,649385872,642276051,-1,531432281,580805727,398784739,-1,394682640,-1,539235046,906027264,172600648,704520391,891284967,-1,-1,638224959,-1,448350735,95608090,-1,708278563,-1,16380183,-1,168064814,23369590,-1,913119043,531540066,-1,-1,303376856,672505667,222343621,-1,654835311,888725524,30842710,-1,496056360,-1,936010395,603985100,865805711,101702068,914341559,-1,556739591,259848612,319057181,-1,739962233,847605444,446820824,-1,-1,717199295,893131869,512552441,75349997,-1,-1,-1,229865798,522519835,791327767,-1,-1,612247628,166074226,633509103,-1,-1,193554233,154139001,478556409,858431923,75172126,-1,-1,649929229,-1,79460414,144782512,-1,-1,-1,120259259,175459646,-1,422279424,161909309,-1,374998330,183914242,-1,-1,331361123,97351906,306998110,-1,-1,478309288,-1,-1,-1,917938985,-1,105816198,106093850,686327057,548996008,978844967,199136918,529991395,-1,965493940,950928413,364971937,953180568,706400149,-1,313683115,859225195,-1,-1,542356674,98288394,447155162,-1,942475610,-1,967001640,608244147,-1,-1,194414785,835202973,123625265,590939525,-1,-1,922792669,-1,-1,682201002,-1,356776036,395130539,353789758,-1,-1,247165539,598023823,643387463,43817518,61589051,484551049,828507079,619592060,798143918,-1,520593830,217148483,155873424,-1,667243110,923851446,-1,-1,798475672,-1,-1,356104308,948642686,116300221,823766817,-1,88872797,-1,299763421,-1,302698101,250489861,-1,18492825,106395927,385654900,819266314,-1,567319839,399338647,-1,-1,725381547,-1,54599095,111368358,327018806,858176261,-1,922042530,496279865,705186254,771836257,69626736,867406381,433314582,-1,273638116,531334920,471398496,409105131,642416283,-1,803365077,119329142,181299821,453025770,270604847,349963438,215223300,844994683,402197934,854047005,610168348,564238804,262266486,435717044,856941017,790132057,374930791,119946854,733878854,174184134,549525729,129834841,52692085,194455363,768013055,-1,-1,285128696,429734184,933096023,366950874,579747674,405727332,717887332,590044079,261918645,-1,417410620,450449949,-1,-1,-1,48317256,905565320,712190457,733554933,436270960,531470045,930144439,550682424,905808012,-1,88032767,-1,-1,572747627,321542306,-1,511587968,-1,416501340,14823805,927202581,940860867,370263729,867355219,-1,962618591,77413470,575396688,358297836,101308363,12906411,-1,202725208,-1,118090111,461760235,622284071,62940743,376167853,-1,701092623,-1,-1,-1,254597664,-1,233618846,-1,643436537,-1,441768460,127988362,292276046,-1,589879914,946384469,672138307,105605386,883314655,976670617,286535127,-1,765499766,511817174,205910741,-1,-1,322648519,99066834,765681642,816568083,564252617,420702285,-1,-1,-1,134254081,116590653,480181293,720945109,259902587,471343073,829934220,876520206,-1,-1,330630938,-1,965223925,737970059,517377414,379874317,809872199,612399373,848534514,-1,102347244,722463219,942603770,-1,-1,-1,-1,628662212,926309002,-1,226857737,-1,104996473,-1,29635222,795354154,179036119,708170055,-1,592703419,-1,666500339,509117822,175209598,-1,17989842,-1,503766454,851380301,589531098,437074291,-1,389580352,246195334,104913428,773708148,250263481,986989867,823398827,-1,362583405,744556693,396651318,731187051,382279265,347954256,-1,483735782,55008386,137176786,91685323,-1,-1,-1,559874744,459583969,-1,-1,492704462,549892424,376194999,-1,733470764,-1,-1,569177776,722703089,974451839,-1,-1,694564475,703444560,940339772,793413706,-1,503197735,-1,982749331,865936773,-1,913737107,-1,124382603,247390195,-1,842963742,749169423,23352886,-1,427357771,793520454,-1,982275867,672013113,380829960,765925626,206396598,128291887,613730010,238084525,598889632,17228756,275697732,57443475,507244425,-1,-1,718311385,880284801,280948305,765444518,659108057,-1,511123403,-1,717844908,778083095,627261438,83117169,899190700,561448594,-1,-1,-1,568001987,-1,17581703,26983368,228533955,164208507,-1,151991398,250532692,570331028,375041453,857964265,-1,-1,-1,-1,-1,97166090,985399882,-1,79718616,39059121,450929554,20430066,903109275,54773974,461604466,540274274,404236813,-1,362606488,580003898,192471764,-1,840614976,-1,386000484,-1,-1,484569234,-1,-1,146940876,-1,784255522,649391620,-1,859129815,220634474,908042748,-1,395225940,-1,968618686,-1,192654947,-1,319710752,638875921,403140623,920399736,499734933,-1,538253758,407998396,-1,989919056,189053905,-1,902326916,-1,-1,328874221,934144011,994773967,113610471,618923590,175718488,-1,891877851,141393998,828516349,156034132,-1,330642340,-1,4022062,-1,-1,-1,70512980,928012359,196157857,162983904,762297716,73548088,109084902,637452335,-1,303963713,914094250,782784807,714828178,-1,391157583,449006496,-1,69949080,-1,820060429,709321908,133408244,-1,144132362,854034199,-1,617565468,817682388,700327303,100797612,-1,-1,646928236,899870668,912376606,-1,-1,-1,890397464,552043996,-1,126716829,522380256,-1,667706384,-1,327666020,986106014,542755287,841001136,89635191,-1,331995672,386551219,-1,643733736,611088974,-1,241540080,537185605,397455625,878723989,47578007,312615878,-1,982967822,995659171,148177553,244178113,503655673,714061382,394610974,-1,-1,-1,563907955,-1,264510161,-1,-1,115498482,-1,153147693,437527404,817214618,837338923,562106761,399033317,-1,752547905,-1,389283950,38612872,684241057,124051400,-1,-1,120508072,-1,159628845,342069226,820727045,253865696,45453361,-1,489876888,-1,107757888,-1,42836881,400575850,813034457,423528161,-1,607793124,-1,424489713,939896721,-1,-1,-1,834882057,890060661,-1,904083018,-1,371037394,731311005,989913998,860723079,237242039,-1,474803164,606686543,420721888,84155109,54013192,222947354,-1,182914378,-1,760053240,336931595,894740148,626131016,-1,-1,721362246,609985121,340361929,-1,660014485,-1,-1,649913350,894859196,-1,-1,822300260,582431483,832088904,37721601,698655072,480373043,667960333,320792333,835077664,176744310,-1,-1,-1,436528633,-1,-1,141094679,974108456,911060419,914889472,519978893,216069043,765490231,146642248,-1,876845856,496301543,875114936,47115987,-1,-1,25056322,-1,650727726,499539660,619588006,-1,201538323,430284088,44714548,-1,444277046,-1,-1,790466473,140837053,219276995,109893130,749163731,-1,-1,560089872,111603193,682536523,612815801,128980034,586824621,-1,560293084,612156966,405134607,-1,-1,-1,783337383,732091963,967505371,-1,519751189,559821080,-1,198059843,813402820,-1,431971237,791429250,109481587,-1,-1,283786499,10478168,399281926,405356539,-1,-1,180117083,86795765,-1,442479757,466864789,794912857,856310939,-1,807496651,-1,314962186,827661754,678092614,-1,-1,338485294,-1,-1,-1,339483295,148395111,311458204,982651806,935023757,64124339,494853728,703148683,872367771,859803986,-1,-1,624040344,998554040,-1,602963300,614482465,8197372,368947632,188196124,-1,-1,-1,417778548,111988894,588204742,-1,-1,143280008,87650183,745984177,856571096,919852962,-1,738106737,-1,874607963,385270854,321872087,-1,640000802,-1,156131004,633132806,29052533,453956286,22619376,326008204,455904607,356649228,919522869,10233055,-1,839306934,-1,-1,464508514,-1,737289132,662457230,656937236,7722099,674089802,643567199,-1,717486387,726732119,984605861,-1,661583928,677863539,227958444,591088291,44055776,26054053,908281890,364590909,-1,10461293,899931458,64526669,576697458,253687689,737977783,271766661,295778548,-1,533402218,-1,186153223,26424197,322871777,-1,-1,928040354,54746706,980543957,219743114,863080705,363044010,711040456,158619118,365947606,978744486,112690228,856539267,53066996,-1,907694387,727871893,-1,-1,-1,840064978,-1,-1,597515677,232682109,282816054,-1,398525460,-1,878647076,550772479,246249064,391794863,-1,-1,637639593,253389797,687736498,59784239,769846330,736995340,32664981,172756576,-1,532954096,-1,-1,726227719,-1,774704471,-1,-1,397010071,371003226,888313247,242655165,-1,904381053,635137336,740002553,-1,437583186,-1,156727366,43273762,542724859,-1,194005264,139359077,-1,558636173,322053125,-1,722584468,-1,352678717,295634945,956238367,701211993,33876737,-1,-1,927796389,942185060,893039549,-1,104616921,546325449,-1,-1,722577494,717871843,583897439,932556014,984260641,482070317,921019228,258341686,-1,868569786,732650388,634813137,360897994,-1,-1,983433843,740082533,139477113,78537462,925739328,839383463,15484579,988286554,-1,737458606,947348209,-1,629430932,184012818,289216157,787497363,55701571,-1,-1,355995359,312977522,660130299,-1,-1,40925519,26720689,181411340,13340010,715387551,53995155,694480078,-1,144720942,-1,492680739,-1,-1,-1,671427846,161239080,-1,-1,-1,-1,813868285,529825030,-1,-1,-1,-1,-1,726733312,299486800,-1,-1,-1,58040817,967102076,884626551,582913603,-1,716648252,254200826,152013289,674138022,409417939,-1,877072918,101780730,-1,-1,-1,677238274,-1,203643828,444332860,527444244,953027129,-1,688469392,253693859,545726813,339391142,-1,837339882,388546744,612775985,131805909,84192755,-1,-1,261334300,-1,710004745,321298345,846473770,921526384,319535273,692154284,384620543,-1,181949869,-1,-1,-1,139902648,-1,706343647,857811965,270128641,267634488,391779708,375182248,-1,392543347,268259792,531439982,12027258,760797726,-1,-1,322747400,536087211,314016992,120333368,452872515,528790904,161929109,584900219,996738261,624116812,-1,353163445,266149408,-1,434406299,674596081,609936945,-1,296471898,349059393,138264834,-1,670308987,28209618,-1,365383579,78789958,-1,-1,275911226,625119234,-1,148693254,-1,422354978,314375749,-1,65885824,472906012,174849798,533329303,662734266,522248942,-1,-1,145118095,784657865,301749513,-1,256191770,-1,-1,-1,160541580,-1,717011820,18532920,831355516,173903920,938508888,889060840,300106923,583002056,-1,339677955,709193138,477239184,626498989,-1,-1,-1,237201167,-1,168480512,259190688,943901805,290595089,150606613,-1,961698423,-1,134842546,290641482,275631985,77058912,139040684,980370842,-1,718406385,754566073,743540089,674606159,-1,817445885,861819874,-1,724525627,571459031,451789346,637312371,272949018,-1,-1,521308673,931245772,723643388,246268620,-1,849869985,-1,-1,124202651,-1,592828198,899450582,512834047,244002640,-1,-1,-1,544857627,871570784,822067623,787026754,588394912,328923676,188000089,214506529,564417061,420297859,411774745,-1,-1,732032917,110489919,-1,-1,259184198,158115642,123876345,202062665,-1,-1,-1,484876882,575052453,342544024,343014023,179663636,14044597,366350500,382350966,-1,475744436,262202332,-1,-1,334020734,861361191,281717162,-1,67258536,917925036,888506493,956321073,63318718,-1,746252762,960408699,-1,588474183,983452550,273667044,2429175,755082985,133196209,753626778,-1,-1,70095849,-1,332024262,715283551,553684280,580165448,694338857,286899782,911041921,883540568,-1,70949964,-1,-1,-1,702874951,67702633,996692035,87009342,-1,-1,883956417,249368679,887289680,790915666,-1,51573311,296345652,631505935,262972816,190835671,250838829,179069196,337571168,122259419,-1,361079564,350676937,-1,826221357,798782453,200776626,184089864,-1,754639772,-1,870888409,127157542,389781810,485762713,879666876,669699265,-1,731838025,-1,343471271,-1,819529556,735002822,426052953,563046645,-1,930301005,2697781,644568731,522369437,-1,-1,834474931,-1,326457734,-1,111013154,-1,-1,963904618,210917287,-1,302297538,299512541,-1,455365365,944169943,266193050,937054835,927911692,92919623,59507418,637693590,-1,-1,199012236,603489813,-1,322220819,619863579,820890775,-1,287207397,556858940,147394900,692921681,-1,180008542,604032192,-1,679539834,-1,117348905,517127238,709266253,452098517,-1,935775798,12133383,192042518,-1,-1,-1,24395354,142286958,991264107,-1,188643662,428668522,902385243,-1,805250931,-1,762926767,112390881,563977380,68810112,914049369,-1,-1,-1,-1,809957325,912999287,350663738,-1,803400959,729613752,632130234,-1,-1,-1,371130886,707975477,461003655,45465902,226789610,-1,436697479,57455519,718971133,663556028,-1,649973980,636253139,548486119,-1,116821119,-1,663881633,-1,-1,703904371,-1,925688210,926037859,-1,181452356,663316205,331475792,-1,517486400,57589495,221545813,930487911,270933790,792222920,-1,-1,360973617,911566070,469436388,-1,478897619,326931451,-1,119249165,770027266,-1,496184313,470793891,296149005,-1,537474243,399324148,-1,928329403,-1,170832845,-1,-1,888401080,867057342,792030388,705503124,569056613,365023226,107890741,-1,364500930,-1,402053633,866170474,233669363,497202854,502822458,583361553,337010914,934468428,468642033,122941105,230863665,383999412,789964909,901693036,-1,199557174,850183549,928457593,170087522,745614913,923909066,-1,150250950,409485571,-1,854197418,27057152,649775413,-1,915391636,-1,429689192,374974672,449664067,853780820,888797299,49319418,95003994,645912318,711590913,-1,820343833,-1,104416603,-1,82074551,77311309,-1,-1,-1,736841665,243453757,-1,841720668,-1,40010285,-1,-1,-1,226756267,926423360,261634660,18986867,882058746,-1,260829924,117371568,427559621,121142003,-1,837983177,-1,98193761,694440049,-1,-1,-1,605566943,-1,407129665,90738418,-1,148472922,160976433,673111074,-1,381033297,-1,724867536,-1,-1,461300960,515230669,611096768,654982964,301723210,87188349,-1,-1,938716438,-1,200966475,280523886,-1,297999091,141884862,-1,563522358,456697973,149821698,195060869,983437241,240876434,874589673,540989758,257045460,-1,161469459,106281163,420644578,112800939,875437896,307101011,348356966,300803183,-1,-1,317454725,639499164,953008410,-1,259969806,243322816,685731469,830598816,516693103,145882122,853901598,-1,-1,979147821,-1,49585477,-1,999918692,762730505,-1,915431738,352678998,-1,669180027,642218191,-1,354462165,543144211,341135065,637804369,396263498,-1,663022873,-1,844710733,168660684,115161224,-1,208045691,556391706,608124072,102191043,310908472,137111211,35258933,-1,-1,-1,-1,226426855,11108390,-1,-1,-1,504424785,1369663,776804097,741579697,6548147,127361755,487482589,155916152,167876844,-1,937982669,361829845,591034685,-1,969636430,338041351,314233272,-1,-1,-1,698249564,629816983,673245654,508881966,204899457,-1,-1,878495331,565223867,167664702,804440293,-1,261314677,601723765,212141074,272592141,12760414,910662729,358591702,352104172,940742115,-1,863144247,976822335,915123351,-1,509298620,628175583,-1,794810563,691289313,-1,696589939,450575618,-1,-1,77661552,915494223,3024223,42836174,329656780,-1,-1,-1,738006934,-1,-1,547723036,-1,676126503,204241695,981540444,187650104,-1,477834990,-1,-1,-1,-1,579420841,-1,-1,910846571,415958743,618476568,806826997,-1,281949099,222381590,976254736,308252828,325139155,201355772,496589901,320750787,649995686,-1,-1,97878938,-1,19063776,-1,-1,-1,995958635,963125738,302813202,933768256,-1,828711692,-1,955518158,883167648,291698072,316025262,957919557,117743836,684097021,60222930,-1,570574226,-1,94443967,-1,-1,-1,472050855,428017677,838182052,794553209,429949870,901726899,471616124,554371801,258425237,30814193,341880413,702163176,796634800,-1,520974179,-1,-1,224178845,-1,434099423,578398058,-1,836189590,-1,313303505,210818652,-1,-1,-1,-1,591993071,-1,242749658,816478248,530719535,-1,504412769,73446917,258934015,658000262,-1,-1,353693749,570257691,756374769,-1,320717186,590347683,-1,513425010,-1,750204969,-1,107375562,-1,-1,419039198,246347882,376552653,-1,-1,397379039,926935859,627499366,458046786,-1,634206533,941489049,821886098,818550238,-1,369729958,281549737,197593176,101597372,335726733,-1,970509767,818321115,-1,218360185,381752522,55493137,808488373,694516304,899254677,997664874,-1,-1,476783181,-1,61484637,807972721,-1,818836669,853550251,312912473,309775296,948831988,963743293,898984189,-1,751776215,387959707,742589939,516904891,-1,974405656,726892779,-1,328259081,758844445,106811051,-1,-1,-1,426321216,820172261,361182164,714464123,96144402,-1,873946531,543606864,729684630,756552335,-1,388714385,472305856,463751275,296888150,439315955,413503492,412198805,291729288,899236255,700908194,676927361,239593553,402207440,845882475,414593555,848369777,-1,-1,-1,188602767,149678693,60981688,714916604,-1,143511917,-1,999098603,505923509,-1,570331946,-1,401623217,-1,-1,438682392,269385762,-1,305127136,525922813,-1,-1,526455803,742531372,369153744,370299858,750965040,769309043,317247826,-1,803603864,769138856,161004189,590600211,-1,545095805,217377089,-1,-1,942700166,801864979,162445263,989716196,32743597,156262825,660883902,562177212,-1,964672928,-1,687188675,723714495,172128778,-1,-1,-1,-1,529644723,726088764,564351985,855375589,404393442,324708571,-1,-1,710413139,877620209,629512859,-1,-1,211838160,646376075,951963702,-1,63198599,344287846,649469058,389092560,280973578,375009977,-1,414413412,191952815,-1,983887072,991641999,233089044,116806694,-1,675287826,-1,958957581,716241892,529140864,692066425,-1,502375807,965948818,82228128,-1,-1,517526866,496993940,664572097,477647119,507419759,-1,141490305,-1,195785634,104506432,423142826,-1,181343295,66363475,58855301,779738263,330295610,735433033,-1,822787157,888798381,216047429,490860523,847277056,439654796,249893876,-1,87299115,828813181,366153546,-1,903634054,230050915,-1,-1,-1,-1,844493583,620416669,-1,-1,825849562,281201273,-1,-1,272511978,839411950,747938474,591720634,865055370,714506883,41442238,213327721,-1,483314669,791095475,411299643,-1,-1,-1,884665271,-1,882662150,840172023,-1,309534682,-1,950157938,-1,-1,369701837,347272574,-1,-1,-1,534365401,491317475,572866548,113904144,127014996,-1,323520027,-1,824341999,140891557,640658203,967282421,53534677,-1,264776064,204091444,491192783,575243060,997963440,388073318,-1,978280084,81077264,300627208,-1,-1,-1,567907305,285290008,473243272,112689525,311530867,-1,936446388,560350031,-1,121982130,249911696,-1,363816426,444444901,-1,600030004,616899247,548197119,-1,432691500,788655141,936377611,-1,412863010,-1,-1,-1,-1,-1,968557625,-1,399017784,991964966,238344099,-1,-1,-1,554820884,536979495,116771478,-1,566040090,-1,426468563,204343612,26072782,336265448,490005453,161950426,-1,12539160,309464683,698790470,22402776,288778578,-1,179577317,57089756,695744072,190142790,-1,679617658,612818153,70206008,203964889,503443068,338498481,495337313,236215340,-1,999156292,-1,566633242,626350968,823942257,780111367,961532847,215553853,646505337,-1,483040822,551170023,-1,949362718,427116970,603015611,755091361,728532454,587634221,-1,702244128,314098214,85653485,962415178,706619248,-1,-1,564027024,941490041,-1,-1,593308624,39693718,-1,-1,773550305,369368592,266948138,149671465,937417313,36848226,-1,298652302,128291207,410816271,-1,-1,886413333,750667008,-1,235085415,-1,90137469,-1,-1,393199234,822708676,-1,-1,847891810,-1,693419846,197145549,249044797,399140601,65201479,209336069,111255306,660260001,546801143,52996557,704471094,-1,167946922,180307034,940440405,782562523,-1,-1,571812478,-1,655482947,660376030,654437833,-1,614390223,-1,91770237,428162940,911230707,161398758,936870854,33885357,266386808,366910984,749876491,669918725,-1,781959854,-1,867504742,598075382,373492859,836687852,-1,512124390,145897610,14122116,873081065,-1,210240969,82030734,-1,76565624,-1,453467036,540691768,190836464,547507272,263436724,127239589,717168490,259060820,495436466,329564220,942949841,530280611,781673821,149500343,910187941,9445729,992629222,421253651,684906249,-1,760340207,427305594,820494680,25235296,-1,353697043,933895169,757880382,555469802,186028120,406346510,-1,200567478,891084924,-1,60398021,708644285,-1,479594893,389326356,-1,416982103,-1,459511855,-1,518819233,122307811,881313514,279494682,755891141,161053740,205074860,852241499,970595737,224492990,788583892,-1,257611774,435500138,-1,-1,146502447,-1,370750066,192431646,-1,266823226,100857936,778465666,-1,577698765,600948683,155280036,899348979,-1,-1,714631939,-1,216547683,204051194,-1,497885542,605365234,761796180,118145341,336730368,980612614,730232344,419755867,158085932,-1,704742786,-1,908066594,722042635,405568105,884230085,-1,280440580,693967846,855179903,-1,208023440,670546728,833620364,540073366,15050212,864983723,381582609,211721125,785982284,798075484,655165279,453879207,209735399,-1,-1,-1,-1,954183813,294538258,-1,-1,561454627,589662033,481283784,953109449,829102920,-1,166436992,498884824,345942529,-1,167089879,742072371,127558811,-1,926886829,124906559,240288775,631249538,819334454,722891290,-1,399723429,-1,814634924,203658400,149395385,56261016,-1,-1,-1,922001962,485065304,275154449,829384231,-1,-1,588092657,-1,-1,284157982,577208950,335862931,-1,771474590,-1,949026259,119261161,648221152,412592451,-1,144189321,-1,391777367,690459953,156722721,336552390,148648467,-1,547763128,-1,630845038,-1,454237623,995543128,238315486,706150612,419067895,762655860,298137758,504085715,-1,973969510,349126541,473322526,-1,172052408,-1,-1,565113694,-1,473567323,-1,679183095,808857520,262596648,878517556,998217799,849538732,-1,-1,960270771,7652982,734303002,625523898,644902074,536780581,213413647,-1,375879154,731548257,532263678,-1,416983740,509515369,757914780,612484482,31764673,21868933,860676904,97571429,57404107,215396252,134582637,350187587,-1,514949702,-1,650976117,367164923,632829893,611093905,206804776,655438571,-1,584140575,-1,227522667,497500725,586113193,-1,772087916,123730877,506530267,-1,964357771,-1,248657319,-1,-1,-1,-1,996985828,706067078,562113600,-1,-1,475129795,479412581,100288582,-1,792655986,-1,787755620,269597107,451871098,659843945,661775787,901792381,-1,812270826,550563967,23906609,606737014,-1,534914861,28903502,242639804,926264429,405046411,-1,77676977,655137223,94160304,193367741,-1,-1,-1,-1,843461252,799624571,-1,34772819,135123240,409703429,-1,-1,-1,-1,-1,81697152,936964591,-1,355500075,643197231,640092038,9904,65025626,-1,262691173,-1,-1,623031180,149691067,142141735,783789473,-1,37205000,857127296,453324746,806360395,247483077,403724441,-1,719628608,-1,807450950,351582687,879714737,167564652,384774205,-1,-1,326190061,-1,501199972,877456797,-1,-1,602848752,574433984,778578213,-1,-1,-1,949108441,574694815,-1,-1,-1,918849492,-1,29083887,568165785,48419668,193280306,996745248,928858914,-1,-1,363175550,-1,875633383,564535142,753382253,-1,-1,648647519,534288611,312658705,-1,-1,892481028,462531680,866246213,953525808,630800721,-1,-1,-1,8741598,441585248,-1,666057322,-1,-1,-1,-1,-1,553545320,-1,676394364,910043292,244181971,220247385,-1,-1,842060831,636994643,176765503,-1,-1,757893594,520385573,-1,601730269,630625054,817546239,-1,460670087,704041714,199650964,-1,655393955,589704156,-1,220174536,789775267,830080657,508496891,868867426,908678203,450805139,-1,524965497,-1,287132932,320324216,-1,777013200,475672975,-1,387460371,686583993,278967659,263844341,-1,-1,241249988,585161659,166439039,123836310,221786545,-1,419450093,-1,-1,906247238,117655745,578974271,210631545,188620386,534441324,760761228,696290546,999048354,-1,588695465,318573961,64423673,-1,786045002,505323034,873963795,498970801,-1,-1,-1,372497710,497131936,511814597,684711331,914670573,-1,851531599,704009930,269558317,283379543,425639789,273013802,-1,820401208,102839230,779816301,-1,89574694,-1,-1,19910427,737461689,968789511,-1,402799098,118887508,261146686,365903118,-1,-1,604111590,263404155,-1,-1,526795884,-1,603817074,722877398,-1,134574554,836843427,632977760,891722542,-1,444283205,-1,-1,-1,-1,-1,111975358,609976281,-1,93519398,835717886,314264505,68733471,518766763,196897827,896273531,941867390,777743431,862374024,562934593,-1,544611822,415785152,162793220,-1,573703491,-1,42822821,-1,-1,-1,271552811,320322079,701696843,-1,973574018,815455940,294324502,-1,-1,434033789,80643518,-1,959306667,-1,898546503,205359211,-1,-1,-1,185763866,980067591,711604430,-1,-1,-1,-1,746063180,466891717,-1,-1,150734662,-1,-1,-1,667201332,977331935,335916641,-1,732728528,640322909,638280912,799767848,874588932,463174871,-1,-1,819973240,626852360,937940093,-1,362294942,573148506,-1,-1,482968642,342159393,755767655,559723695,191119038,445570657,635784242,-1,311981459,-1,997159559,246290638,915605594,-1,-1,220504660,984229730,-1,-1,257975323,-1,278371066,73565341,116891593,942013429,-1,409584615,977148992,979328132,-1,655675833,936118194,879516670,-1,822804330,994534776,216992347,190218169,316769481,678749207,472602098,-1,-1,-1,-1,719087847,-1,474611228,-1,-1,278962997,790678078,-1,390834314,-1,-1,-1,-1,243064779,85545349,407663526,929320196,977376058,988584313,-1,933329131,811394939,530539492,318601493,292381429,643851328,-1,-1,-1,96158298,811616578,785308550,309820609,-1,310898033,796809522,644938590,534219673,981576437,315481320,689539327,274530799,476694930,-1,-1,-1,579874511,-1,187132840,772963427,-1,-1,-1,293811734,250575911,779477003,73669296,-1,743773087,64559145,589706092,329489668,-1,617667702,557546875,264346066,310966531,451901775,-1,169015450,499102406,960823317,-1,308447029,60606270,371322217,864476051,609148562,508670576,957421344,631759181,-1,255661506,176449292,260465757,-1,888276749,148643931,115349036,951369377,896378685,91777572,-1,790496392,868799463,-1,591001932,-1,51616012,856356555,-1,71537319,37780576,854623976,510597332,190853171,-1,870472518,478202833,458546432,-1,231167281,131769293,837449065,899202468,533431448,623756192,726253980,653906275,719730528,274794277,802470131,400594701,199419859,-1,956137355,366447052,495106144,471194756,-1,412293426,791170887,108551978,767510801,932972485,-1,762226661,685414004,-1,182321148,160418461,571088204,809875041,-1,515284867,781806676,-1,728824292,894366220,817097664,-1,739711570,374823696,-1,-1,797005166,169541015,51050196,224416724,663765165,446379984,218944542,595928424,26061714,-1,-1,855763231,114014886,420497010,172141130,861825602,-1,96385175,170035735,944658495,854418785,560657037,349618923,996990469,380754657,-1,-1,-1,321452377,698432131,-1,321512980,158905482,328376650,801580801,452119279,-1,937325172,49511360,-1,-1,-1,41279233,-1,817233038,517288609,465903284,52417477,741725265,388316319,-1,-1,-1,-1,835726063,928012226,763725663,63814918,752204267,25408697,77134630,621929718,914569464,950372662,171833220,-1,-1,791654046,861531156,750753098,285959156,-1,221902757,-1,-1,164935672,-1,335249268,-1,844045455,863321479,-1,661425601,530128374,-1,698289803,814526191,477072128,-1,826818655,7241092,962650597,-1,807477857,-1,912433126,-1,763007627,644644863,545135174,474668170,-1,206059167,704117977,393095942,345877396,249668724,66382443,36841195,583872351,941874792,258528126,293473795,350621588,284637913,387386759,174785423,957981362,-1,883506608,636329107,512615370,62627918,857601496,-1,-1,-1,279758625,79161463,606099905,375962233,-1,-1,669759757,86516299,169717400,661508396,630178663,520287174,966497472,362857092,997283748,660251868,-1,-1,572267959,515206503,-1,747339783,897539508,-1,438307812,289058936,72211348,389213211,-1,420595413,632644829,-1,721622918,539175126,-1,602197560,325427171,987483723,59457148,24367114,430607163,669794595,-1,-1,-1,497954881,3286348,90070262,149129309,729462180,875853994,-1,373245263,-1,-1,851771259,653782212,66890522,339503374,710779745,853742735,324515028,-1,-1,770734633,-1,294354672,529315882,854816893,-1,-1,-1,-1,-1,874542990,288674289,-1,770940194,820593866,-1,904266285,688673453,463812315,-1,-1,281397273,934928426,-1,856136543,306071067,401916679,726897066,852633390,2212773,-1,-1,545217518,726897114,731482662,-1,76154204,-1,711263554,-1,309843588,127418995,399027423,-1,747173571,119775387,715004522,86658586,969767041,-1,104115177,874046947,-1,252283393,-1,645500204,18449651,595530939,970376856,-1,66946631,-1,-1,814204190,-1,-1,367493288,-1,495575155,-1,968426471,430580999,607894093,37622067,811538859,854782328,912724250,594643861,-1,-1,-1,760111192,-1,623001343,496338045,89932939,-1,-1,110377243,326385119,997903401,171434102,307447649,463135581,66139068,-1,-1,-1,355828342,431303389,240298863,986531624,510802117,-1,-1,-1,634368435,778643397,-1,457314905,838267498,610155792,-1,585257988,147088212,-1,-1,118277093,163794576,494758080,-1,456588562,889009014,167453451,113203608,523327298,65939491,-1,-1,-1,-1,813876135,-1,435215416,804256985,252413007,828742553,-1,887994335,552905468,88481307,-1,697256233,653699742,319369220,705824492,37390881,-1,158821745,-1,434871631,45196576,315521373,-1,92458896,778645830,587611453,987202445,-1,-1,-1,-1,447008305,887187631,931698561,-1,-1,820647998,466604615,668173997,520032566,939885750,-1,771040709,42147093,575200044,838051589,795172204,125901850,436675871,701796929,-1,306162353,-1,936242162,733066806,508320269,850693964,-1,734808232,358400668,478798341,-1,314265365,530636681,-1,561553962,-1,898920813,388401530,965704437,158190723,608986352,631928457,601084763,719856570,880490213,-1,-1,243411898,378994029,329318077,993079580,875639385,-1,870598761,-1,400287704,209043436,-1,-1,755188479,694184935,123548862,191991681,172182141,764336950,891741648,945431217,416316505,-1,540613298,-1,-1,471238054,457536032,-1,-1,451354571,248496765,978672465,21564553,631605636,848351357,92121573,639970647,45427441,419456379,799950032,240081409,-1,285845121,471122528,266115104,-1,517700756,340786991,828245793,125773972,-1,165271493,-1,-1,964114552,847502588,651048188,909287080,554390579,179038141,319813288,-1,32902396,884508555,-1,848298985,329703568,29518398,810212089,341841496,762406,874752028,528490395,639460925,577577688,593842228,694105973,519190909,362724039,814389877,470838829,34034166,479852135,507352596,230146463,249696740,284765583,339000136,378015353,341463247,466281773,400532257,253101333,157290611,-1,-1,-1,823095953,803636344,124223920,127581282,185445094,521939119,194091780,-1,484925352,751740443,125080655,915062812,536477723,-1,235508981,154500857,-1,175598890,320266391,-1,-1,914211106,247538616,170410349,237772558,674069970,975962675,371447213,823728675,986182120,600038712,-1,-1,-1,953025143,117495845,805775688,-1,936601208,-1,-1,599511714,347817030,506168629,129972831,-1,406371598,-1,70355484,397940321,-1,975817191,702900379,198564124,354026515,-1,286382689,444125726,689585128,101248436,302118725,111825030,-1,529270394,-1,209339724,785461554,393187513,-1,-1,858766172,284689706,203310420,662579610,755916459,658810012,524658891,347913921,966675405,681932175,25746628,-1,-1,-1,396748035,859044129,-1,991104902,-1,896952179,415049057,335593384,504533560,910177993,113613414,64994456,-1,14810114,43523576,319794615,-1,99653072,781767022,168485125,-1,-1,943843756,-1,637270978,568343554,964977979,-1,799244579,351670590,794961296,274287051,-1,871120096,-1,365984930,-1,498065525,662044802,138164107,948832928,447950260,626307271,463459251,113895241,377720293,447633493,741001738,16033023,-1,605228703,-1,488178519,436775136,879201808,636909036,608979464,784367210,863485662,191128383,345815222,721793273,-1,586070351,302507166,-1,39442680,-1,-1,-1,570809174,169556577,942567685,162602495,232797504,247408680,-1,-1,909325390,453976893,-1,956252985,46775312,-1,217403806,82203777,689973612,471339216,829967471,-1,967958949,634798567,-1,-1,-1,950630453,737109008,667356534,204025266,-1,49996489,739664638,341544581,525850991,732061150,938094798,1791961,623369922,869409232,988437506,-1,-1,536088104,-1,360670952,345658519,-1,47303418,-1,351701981,921070304,396666417,-1,164842801,226995200,390126573,341630315,-1,-1,766125404,145825416,-1,694435091,-1,-1,505555681,732399763,70181168,13866548,-1,-1,926513490,-1,238352065,980653218,184406574,77018226,194971865,438909926,813445877,824977277,565353433,178974590,-1,674513747,233437868,560713691,438327081,-1,339891192,775187135,-1,508163413,562692423,954899104,-1,65141641,787847328,13543544,-1,-1,560507111,385331862,968459408,932316476,112596387,866130843,890046639,593370097,312034063,-1,172852742,231723768,802040087,-1,135625537,-1,437842051,661468974,796471765,887596965,-1,648007411,808487192,521031152,554376592,676562924,-1,-1,783521393,248258048,125243461,987233002,748144531,849883053,752423704,539331605,849044935,941172280,955442887,222335666,571702589,300043248,190554394,-1,803256357,574933634,-1,892110683,-1,-1,830183555,868916792,-1,-1,62515755,314052945,816428210,-1,462412031,233521925,924307341,427769562,423680364,111505628,52275807,-1,-1,-1,-1,880570012,438122533,-1,255105182,256454004,715960630,37660927,96491051,-1,988970152,-1,-1,-1,-1,485213782,675325633,383157514,136784715,-1,602440493,627089381,632475936,-1,906271074,691142330,24820875,452997104,380414015,314104256,956589356,551376961,255422656,781146546,428764704,882678736,753322650,-1,232033420,-1,764919824,-1,956774368,398424577,767772689,787999934,-1,-1,741951628,-1,315706719,394646787,825528423,935595213,361537850,-1,663683609,504236140,39027616,-1,865847964,797915105,421115035,667483417,392219108,216674876,103467745,952427082,832719112,892326115,-1,-1,834071487,279633107,529092817,986182040,482922756,742018660,98335991,632799622,167516238,-1,753234811,23681527,-1,-1,514013026,-1,879336519,870968749,298112911,333393458,813231864,493321568,61582266,587465736,566280527,382483437,847131570,-1,-1,-1,966442725,619483357,849901889,-1,-1,646449753,243943082,368142613,878480209,-1,-1,979256846,953888461,357806679,416183281,144273751,-1,656493304,-1,-1,-1,188439542,9930992,274040958,-1,-1,780628102,35571613,376471020,562140976,-1,864845121,-1,686147297,-1,52983625,978312908,710093360,733658745,379665863,154929564,174686272,74557868,626837544,273427907,6945991,282041793,645025191,348277420,524756336,-1,694738930,695075725,-1,518901592,71640457,83823528,157094121,457996692,893805769,145365591,-1,266173408,-1,-1,-1,-1,517557297,-1,724347667,606317716,388941452,560843396,-1,-1,521773185,193860774,897256731,604940978,-1,653358836,914099279,-1,-1,391171447,581034773,834218304,68569190,145211204,712193939,155119954,306749302,358769292,158654277,763822051,547220985,137550986,176306274,104377185,-1,948912543,609170084,488073715,672587344,877798609,706398192,286563973,689767813,-1,732457051,581059583,273268819,232184017,899666505,255162472,329481414,186652098,860446657,-1,447263543,887786391,64810505,673413286,288639431,-1,890315172,7995562,560216667,465111381,586655706,865494416,273064501,125317010,386689203,-1,685731047,-1,170716017,-1,673209476,915583781,-1,-1,197474091,-1,-1,218376212,302469249,282860603,-1,900956022,730012855,736347328,373708740,-1,900776097,161471567,26187849,-1,-1,73666722,342452424,-1,786564903,-1,161483322,309165043,947781394,505486181,-1,357650841,927675819,241612475,796162730,943592711,-1,-1,-1,985988809,437131376,-1,690511,476971206,-1,416900442,661279165,137747558,303436602,-1,151220699,427800591,967359432,776069839,-1,211416435,-1,618815585,-1,507728890,-1,24608350,370909787,128665964,-1,-1,83691903,363668772,-1,852802508,-1,964996238,-1,182145470,186263482,28491388,426885979,316825670,451612459,593915630,693749750,19661366,729550427,700494869,959125066,868196978,392346158,540182779,-1,-1,505635358,153155688,627712510,-1,196728412,178346863,-1,-1,-1,299265915,-1,627327385,318394536,867849101,-1,237977989,727187629,-1,-1,796368957,598219950,-1,-1,650262660,-1,743315525,335244228,349231323,-1,86944367,102462515,-1,770576575,276260713,262071455,-1,891394653,393006130,930207251,-1,228794409,163470345,-1,743499149,15154130,625366334,-1,391275915,-1,660028940,124263315,-1,519807573,478850794,572479339,-1,-1,89973686,978351830,-1,-1,-1,701334152,666937160,512261328,815398839,-1,-1,345531913,-1,-1,170584782,-1,48467991,756647240,934612044,644468447,124487562,-1,881655824,-1,-1,-1,612274859,413743216,696131397,776590728,791369964,356474763,765651045,998789926,995572752,791925853,226872382,661930879,214693216,289525637,532465351,917667554,86394294,749030465,607348663,-1,-1,487272434,-1,455401885,358347599,-1,306065867,-1,346535083,981845044,-1,911689669,795265201,-1,474684536,-1,889564071,975786473,-1,-1,80380,31330019,-1,97610133,-1,617971635,106522837,946495285,938205078,119822111,960774462,916513962,152778217,-1,-1,-1,574864918,475863557,385050953,-1,659523470,140646537,955833748,387312339,246756996,183476592,419571748,2476822,272316903,474812266,546498456,331988321,-1,-1,50561535,334371376,-1,560673643,-1,753038884,-1,-1,795734681,194992471,197663037,981880307,-1,914268360,160313434,688534061,835622291,309269955,714091600,-1,-1,828707530,803928628,486087297,806738596,533998750,176289274,956365691,-1,593700782,852630990,103158285,-1,-1,42465462,92373302,644164467,125273834,927093368,45005549,620628000,495453096,-1,449060565,122357456,798748639,967960058,-1,287579089,981952254,52201039,101026567,231493924,-1,-1,364302386,121354130,640825399,171836680,945817442,-1,281059725,929902803,-1,427861575,434417037,54602447,801304807,-1,-1,567630102,636339136,-1,-1,297936140,128572589,-1,-1,66878365,237842053,36982945,-1,-1,-1,80345970,-1,-1,550823460,227697591,574565380,160401683,-1,-1,851001567,622936345,295968780,180943635,832510421,451093442,590862058,772044327,246114472,502038628,369662414,764299161,50687424,194535244,173968170,485591566,114003446,-1,668833495,865391151,-1,-1,56171374,162604196,-1,-1,-1,344273105,11250931,991840041,686476106,-1,691379248,-1,635955406,499555520,484611676,650777020,-1,742432812,871018806,174380896,311461760,497087630,243985105,289998698,644318640,614415621,732493607,211189454,108737424,970036290,-1,884351131,866948105,-1,828885703,454090055,-1,630912454,787632906,-1,67400607,-1,492960869,290635168,759584939,549552227,49800006,800374163,690750612,-1,121363724,-1,-1,875259819,553297092,-1,751350752,665778863,951452055,-1,348558148,870909062,-1,668455785,863421278,138102712,106306703,220260320,-1,843165859,-1,981158007,192587092,-1,387641651,746292667,-1,700597616,705047765,786448521,505586,436292871,751033405,-1,765913818,844088989,485295659,-1,-1,92089461,790553610,-1,-1,861438266,499401507,669857060,618608668,981358942,544070240,-1,909587129,-1,231549255,649764467,634946499,260136849,-1,-1,957367748,898831561,-1,210889247,690679315,-1,253739080,444103403,695096705,575137357,-1,225465755,984907053,477884465,819278819,462998119,166834107,214367602,-1,78772811,-1,562444783,175034608,-1,320268666,645074539,156784009,-1,807786667,-1,39785258,501385294,128250734,-1,659537883,-1,37746892,-1,-1,339478545,985045329,835871870,549333067,312527957,409622935,639901696,-1,644752360,549085970,532290721,-1,-1,871964078,996207043,846163715,-1,772832563,613096735,435203737,378192928,347506833,-1,303323503,-1,392774219,-1,784851242,-1,445042911,-1,516340040,621128977,-1,484403861,-1,773276989,5112849,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,969290450,-1,924494427,335721881,37217213,324492238,640954074,768496914,984144737,-1,-1,544582829,611541219,478548279,935308694,-1,344956079,790647133,727889321,426077523,797699951,940355773,139919875,-1,880109902,367619686,852853465,638825635,769325734,184105289,528390156,399565937,787145027,278215186,155016555,-1,511775059,114997931,-1,-1,-1,524307112,500416880,-1,777734941,664074025,-1,-1,43923745,382237774,550885685,-1,-1,666779390,818296937,144941536,450797870,58927050,735211975,643508808,527937192,929344517,111761184,79449860,568528184,-1,382913398,890986226,216485030,-1,-1,661126253,419860009,711368229,784195165,-1,780134010,-1,483343493,-1,188867382,168637035,-1,585728964,6249062,16227374,-1,669095860,719758135,830263767,250479601,701247557,680390290,74470802,122513627,268146496,333067893,233386789,774239662,853012348,-1,485353399,428720068,428724084,226655290,996184829,518060552,743744431,-1,-1,313506274,301521432,269221220,623848169,874906202,726116973,-1,243874139,418516596,-1,885238514,254481778,-1,-1,-1,741682013,588462955,491841977,83805899,-1,-1,101470013,-1,132143937,826988024,229037998,588549781,917484066,771462165,845457195,-1,-1,143608951,-1,644639714,708264405,724557572,-1,-1,-1,-1,223466179,656285082,977904080,-1,-1,987359701,122780039,874519441,-1,631304016,-1,918115313,-1,310498966,852410478,-1,-1,-1,103923056,-1,-1,843395495,-1,-1,905061136,204415560,588107986,-1,-1,-1,-1,-1,639674530,-1,937984819,936029163,3299792,-1,789886611,451675799,580801112,143146242,986026819,772407159,-1,160874676,976126,-1,315329203,456831917,259083542,799591089,-1,553880025,-1,-1,375535234,81141988,735745762,-1,-1,442501680,-1,603645092,39892925,-1,506385787,-1,-1,336446925,589646332,257515119,520992445,224620471,607285188,416843086,13946669,166637613,398484161,542249879,586824163,-1,-1,-1,167232279,845779618,326833366,240403078,173825069,148094943,339064904,877791107,-1,585590634,439981649,185708952,-1,104630670,225431317,950842869,-1,-1,686842330,590637058,587924300,428667241,-1,911622858,375248695,385054456,581758286,465544211,750166118,521656644,557586740,577141787,631716930,899085734,-1,28701169,174182626,113740559,128151112,836280204,282444490,39203864,-1,824220046,908761534,741308040,587827148,782861096,90852414,719483938,495205511,686625252,652819758,725135457,459095783,164685241,42297701,-1,-1,330998631,-1,266806863,-1,-1,318344667,-1,-1,989910446,364635758,741628341,653273840,504850148,354136560,890311346,3121600,77466013,-1,840926282,240374718,442020099,-1,622250429,490639633,823220713,-1,52031979,695604715,215554192,-1,322533031,187813291,89190303,46260810,-1,60970969,918192856,328383368,104419904,726486545,557209580,705744094,811493324,437299645,-1,9172061,15505287,-1,72821446,698888723,574865052,708445490,-1,140231149,778717958,519518991,895627146,858067689,-1,527822391,278338885,281227562,586341432,464771335,401379365,-1,225460533,82946860,695238620,948672643,937971931,-1,440345744,854406845,795191945,-1,697881976,195139168,809456229,-1,729937316,777456385,164643025,-1,-1,766595375,462665520,53808307,485562421,413192254,993980234,-1,-1,921702767,48000035,-1,626414186,203030666,-1,742385536,36466442,794316908,-1,559750169,938324233,955668628,627128632,-1,310702606,906934303,423172764,-1,362246705,738791376,-1,-1,-1,441661038,-1,732487700,-1,751657086,67891629,606733491,884689317,351130828,882511558,-1,-1,793882379,941128867,-1,-1,-1,727766527,-1,-1,93187909,466944295,503326920,186945585,-1,-1,965945210,73966881,-1,254377189,-1,-1,830107180,961930782,34713131,321680935,29070615,607325292,581910416,886772177,597710588,724208707,174043747,-1,814651118,377291306,-1,434565624,337479720,851843334,120406129,707450651,551331275,715673201,776001097,-1,-1,366791685,537022437,630199097,687335751,732520222,675060868,290359131,-1,156030535,920774179,886539242,218857879,440930633,144401961,957440133,546773144,792386076,616771501,-1,275207581,765730579,329374275,911804828,-1,-1,-1,280983092,155929729,993547676,469278547,-1,822046055,521404735,184989649,705445979,-1,845129819,316730656,-1,853099507,763469943,124722642,-1,920621230,166095376,580522359,-1,664156810,-1,705105691,-1,-1,-1,976777899,-1,264979187,14426674,612580288,-1,-1,850896094,-1,577410300,-1,273425405,175424577,195727595,37081816,138533244,970810417,749367246,398522301,131744909,448794701,188054714,989192533,671433324,744797965,817492576,-1,468499331,493465610,866116828,-1,442306439,-1,166082531,207622916,931713347,125351446,263006431,-1,986766484,-1,-1,-1,532382369,585352924,64031089,444457024,871469121,449028174,661109905,613141353,385645744,484541023,637721140,262705087,-1,-1,875935543,875738191,-1,-1,916770052,365849690,466551405,879441454,160139740,-1,-1,942765380,-1,605979149,564473059,114499390,-1,965167922,719657226,100376835,-1,473376303,-1,-1,892300214,122729049,-1,61082716,217192332,214934726,-1,647895296,-1,337118149,803921966,-1,168609325,452637737,835146613,-1,495442380,319079401,761188544,-1,662816266,661150314,-1,975832048,265596113,438725201,-1,922380934,951732644,91037629,-1,154768828,-1,-1,-1,673925813,929693696,596000525,153063241,802691608,-1,-1,566530286,-1,411591758,636054568,597741166,-1,379951830,-1,552465697,-1,388736943,486456639,-1,325896255,-1,63108709,670566064,-1,943127273,-1,763910199,-1,195229122,323056709,224583131,-1,344283932,-1,638396794,430453431,32119843,904252044,219359740,-1,-1,-1,-1,362742491,-1,578936831,-1,433241877,629544834,16055635,213588902,-1,574045832,430599228,-1,930064262,-1,557979107,670961546,772439853,870746000,514309568,-1,167129221,-1,384091420,620164057,277236439,155932233,-1,414727778,-1,416940521,-1,278648714,161096980,-1,73055737,642823773,381332497,-1,418754199,989645216,978194121,70989105,-1,16298905,-1,891322101,654696977,-1,393648601,608735298,-1,421192748,-1,424739686,808028586,-1,129889429,352591547,844507406,-1,-1,408725040,500988774,-1,-1,912626252,15715925,892317308,860710128,839719459,-1,912870053,-1,-1,736464433,902366627,771313228,228407975,799608506,687858478,861561207,-1,207487471,530727858,328936622,465161957,-1,628304561,255993098,-1,-1,294003930,748709909,126504335,897034330,89650706,362877696,291566075,558975848,-1,-1,5251077,837176201,335008538,811273908,295722153,773390039,-1,501566755,-1,957026510,626836614,540992422,443687604,55097892,104498070,-1,373695908,583055490,322627594,-1,-1,445382698,507651023,96866140,19257816,-1,832665290,-1,969445747,895638203,336438302,114186267,795675605,77904234,737671060,788555187,301572109,211694750,230748055,-1,-1,-1,-1,723793810,719449356,508367242,559258811,377758091,573000906,581413433,-1,925309535,-1,218866954,-1,526919535,-1,-1,633289327,-1,939574838,329992260,520293227,837687506,228756124,723656943,-1,-1,372041394,541931058,275621107,-1,-1,767913114,-1,-1,-1,836682422,318617690,-1,13258746,159011148,-1,-1,873894713,-1,153245533,764166153,985569256,489722283,-1,14248741,161716888,477590144,-1,525395094,834479917,729984243,688860030,18434404,437870914,960615348,-1,477961624,973851240,162905838,-1,682787179,945342772,-1,254239540,272817394,668411608,724475967,195359823,237384854,941747816,559430765,223043695,-1,-1,-1,356206278,897604615,209843265,97915857,-1,27275271,-1,-1,38115602,847606442,-1,-1,151889364,-1,-1,979907161,416975359,-1,870302499,241433073,106911228,232526842,427891443,138327728,148042436,-1,846945784,732365607,-1,-1,946922751,951376410,-1,990809694,566097368,577700136,-1,858018772,876767646,186931664,523582194,-1,134156835,540931353,159550305,218406736,847551589,628131358,288174161,245368978,-1,298473218,-1,371683815,80181949,1614780,31239184,567787356,-1,73447751,217134842,894750258,877570986,-1,226154574,488929542,937458496,30483882,227508977,106569748,518567315,-1,173113860,303711918,52037149,275484030,749401532,711295557,436292885,536284461,-1,87403585,594158135,-1,177288224,775327783,232560791,830501350,247950127,49883790,771588693,699909053,782473675,148342167,944108526,-1,575843985,-1,993257180,-1,343080171,245324213,806679022,645681435,-1,599839462,-1,5028728,384565743,-1,57136891,-1,957971755,-1,-1,398147472,973624436,-1,475539035,383156913,314942992,95765343,521257872,573927744,-1,506227415,481595283,485523324,916620833,603445786,-1,546008674,950129624,949912015,217913468,-1,823283868,141211293,785115952,253074902,942440728,669193563,-1,55657285,254728186,342055951,710841386,798102370,678716747,648600465,441859316,135968104,474514350,-1,-1,636219968,822494910,-1,-1,351555776,-1,347016109,604593387,-1,786455894,301731522,856822266,-1,798103593,-1,152333739,861261501,585398805,897090632,397556217,-1,-1,-1,581446230,576493525,-1,396665932,-1,706195807,785972581,827933420,804969078,-1,-1,247327099,295476772,270683056,695907141,630863844,-1,-1,899451786,-1,654728871,407229209,285167551,1961017,559568055,754414823,192168929,19827712,910820121,-1,651570649,154883017,877975870,455084740,-1,-1,421075799,776789451,354177488,624110070,592787742,978332873,562534952,97532841,-1,-1,-1,232125221,576558343,604198436,474727723,-1,861107913,228351889,337479256,685850373,756910822,967561140,267847925,-1,-1,-1,-1,961797336,653354891,467811809,724796893,70337966,-1,371262847,-1,-1,819180502,-1,-1,-1,593081386,221739877,555784447,710859942,306283504,73152218,48385134,317864451,436666067,208643325,737350762,126437048,-1,-1,953528249,151952703,-1,418540297,86496253,14193858,223899971,639487235,-1,-1,-1,216654728,34498424,85655904,780858152,-1,-1,142163828,-1,18618457,477027384,-1,513686684,906924444,539187338,-1,-1,366961415,-1,2207746,656372483,716644563,-1,473762596,-1,291829803,11828655,899766550,120822801,602830759,-1,58562445,877490500,-1,-1,609944954,831954196,59095181,397254090,-1,-1,-1,389456800,-1,137188461,42423253,-1,579653268,-1,589016936,52108254,750310970,705580280,-1,-1,-1,-1,819373946,-1,-1,144846448,675048682,36902185,353636886,-1,-1,392489342,196503678,-1,50145479,490411120,-1,-1,255069367,-1,403236586,989049396,327958869,65415651,-1,945682386,791011979,-1,131745000,690882015,-1,-1,93619964,899302451,425734325,673622492,513876064,-1,-1,995106587,360209141,929000835,-1,-1,265979103,-1,669609809,611438122,200497723,-1,616281628,-1,361449914,999240503,-1,553109769,115391696,969862544,965846107,-1,985994410,-1,700170331,956715284,-1,387835269,564073927,483326481,485768718,280731277,-1,462201341,351199776,954166062,380515454,985148503,-1,-1,797447775,473560362,-1,438574533,-1,103246364,-1,870258129,-1,571077937,154412897,831452639,60367469,-1,968070096,-1,-1,-1,321383133,812833018,832898457,419397979,-1,-1,-1,-1,90729775,300859025,149547442,-1,-1,60875492,877789064,603823701,100957041,468009631,648810495,-1,971096119,512065529,275812010,404166031,594805365,-1,148789674,790218716,760191331,147051210,-1,498349671,868696052,600068683,585131470,298166903,348602596,400050102,-1,-1,-1,763030570,728220716,517245592,126555415,-1,221388256,-1,378181444,513000952,134405356,832354132,586712906,711940286,-1,914464967,-1,261933534,68303670,530641096,-1,3077023,-1,177775313,634434169,534883192,-1,605284516,104722384,175271206,-1,799578747,605166272,84439809,554596343,-1,535452629,990788570,-1,514836270,861429890,998371273,937359682,-1,-1,847327638,475719003,672500591,477465654,559316865,24138354,933476896,-1,-1,-1,-1,394576657,-1,-1,132769639,914189664,940712805,449314646,815887194,934878826,-1,566855263,52398497,737289323,984954517,-1,-1,534163208,341963857,523408454,364098984,357434253,401035079,958553184,143705643,194663051,-1,573949601,270334411,395024173,607381361,-1,-1,181729043,-1,-1,-1,950958318,381595254,330957708,396654344,-1,174205229,584300713,824340527,251394029,856219935,-1,14380911,-1,561106941,-1,398999325,373418019,457455666,382501799,889128206,-1,610198087,580386542,680029472,654959334,564463303,984175772,177134659,-1,171075189,254417759,-1,-1,756948198,-1,338730192,6437294,-1,345600456,158895202,408942358,505779932,790942711,245243568,538834682,-1,674080790,-1,830435274,796958576,-1,710189925,416371211,156973444,641649976,-1,231806842,-1,503510183,-1,572848935,646606093,55127303,390396901,-1,304196065,-1,163847164,-1,-1,998562835,-1,723388467,767941069,881244251,457989447,905342035,579484783,737573666,544936434,212474802,503734734,-1,68734127,-1,141732055,-1,-1,-1,36795280,567399067,951492314,455580130,21058701,-1,345765591,641894866,707913404,375564187,-1,47579750,501196343,-1,389712618,768598171,909245052,586727246,456989628,500251743,-1,-1,633788818,-1,-1,958586715,-1,-1,-1,48293527,522006701,-1,492545773,-1,552473034,421615469,809139925,228356011,847298204,868630051,-1,-1,466363167,660789276,-1,-1,196359752,209648359,448561737,520781909,-1,642268945,502291983,205228694,581917925,810367548,426436877,239579338,81582827,332778471,-1,915648577,19886357,-1,-1,353155893,263938205,513278838,-1,-1,451778546,871765852,31895442,602392583,39297258,247431511,468685084,658810993,-1,-1,526588737,708587000,723855124,271099725,-1,140025556,653739002,-1,-1,749869328,373656016,-1,216969568,-1,-1,625343036,772064183,-1,225352569,646455386,534829305,333400355,851365401,-1,-1,-1,-1,436351446,505764337,556364293,-1,444980917,179599059,281027767,811164293,-1,426050513,762346520,-1,625603263,84857919,867301583,494925681,199833692,884538144,844001800,228831446,841685779,346899114,358248012,354157622,605625160,373507607,851683199,672035362,745765500,-1,362318645,-1,274107438,866116063,435334231,482257376,-1,-1,550662176,64783800,155933245,894457218,-1,-1,698696973,518479649,-1,262330166,316066786,86451814,135132099,247456021,306856911,832675989,-1,701285022,42346438,-1,663024299,264128269,917418346,434085843,944186081,286812101,840099643,597229394,563244065,217989949,736028981,195177862,441006538,452602618,-1,280129905,506021101,-1,288652192,999837129,321840410,907184953,-1,-1,151000254,-1,189731191,417398076,-1,509982531,309011375,934639660,971018691,-1,-1,800981416,-1,349695272,-1,-1,-1,167173700,963221988,370263260,-1,-1,-1,298241308,46993163,762131243,260677963,416261262,477387952,967760837,-1,-1,-1,94017365,591358932,-1,582375491,65155097,810307837,-1,-1,-1,484877739,-1,-1,-1,-1,766002638,-1,494403980,191804275,465377826,-1,484359999,636966298,-1,-1,-1,572600397,215657614,259737934,989752517,725797682,-1,143200544,109204242,191430422,532829687,-1,-1,-1,-1,-1,-1,526525154,798656474,625572561,-1,-1,50349590,415983365,43351078,996171964,410627842,192291032,-1,-1,983947699,182185666,147172232,-1,-1,500533016,810721726,916871404,480467371,699715773,415657307,327104238,615469359,101277876,-1,-1,-1,261960947,-1,287952580,701222033,140518942,396089213,876206830,697745101,578005486,-1,97108946,715454276,104390934,215100609,103094761,192781708,740918665,345546375,784319559,430149130,996164459,-1,-1,-1,-1,-1,870458357,233842754,-1,450473131,-1,433596013,985749680,-1,-1,325950559,-1,95849053,123707742,200876082,584105591,121371576,620157142,121634653,59029428,318283726,625870454,657617730,-1,13009050,314702475,-1,-1,-1,-1,-1,776595387,583054410,408848687,259280533,199058697,423153396,829215327,841395950,-1,509629863,831169096,319359010,828220767,-1,-1,903899684,835357210,171929872,-1,309667713,920090648,695813444,255475533,767025716,-1,484686339,-1,923528812,-1,-1,-1,90772033,481050558,466637642,589674050,598972808,660598532,99041311,914535681,554555983,-1,-1,72011308,868049756,67515452,545297651,-1,-1,102546899,877933335,810607419,20680734,323325353,-1,-1,163041024,192884986,858167223,696647359,475279008,637010664,676691805,12019995,150791818,897912087,-1,838015807,230309353,263958179,678800273,888528287,702885115,-1,-1,827984151,778343820,328789560,354945179,784040295,880727128,367989204,550591952,401176421,387059350,577583177,115584953,957236637,-1,-1,829481052,796555410,148946028,587940769,-1,783878381,925795820,662337445,401298438,-1,910458957,-1,-1,724598460,-1,-1,-1,-1,-1,-1,-1,199630373,377457567,981518255,-1,999190568,-1,446708867,311518851,406053203,948404690,30925296,-1,-1,-1,849602756,-1,667787022,34375274,-1,-1,-1,-1,411590279,-1,-1,-1,-1,908469084,548187514,513456819,788650801,849259056,327456471,270279221,472355179,861429321,563854148,-1,-1,72642277,928087084,867851280,284945208,422298119,731929793,43464985,745151366,-1,351182327,-1,146202941,25974603,921403701,561733440,897828703,-1,613768312,189619239,316028608,254779137,-1,288368383,115270040,-1,-1,663995884,-1,528971391,-1,294051568,80076272,-1,483471793,950320458,-1,93117926,-1,470787464,832903490,241922267,-1,46577749,550831530,678357009,726273040,717818647,-1,338518254,229490737,615683324,-1,309468298,-1,587374888,541526173,-1,1944700,666871222,-1,-1,-1,653799831,-1,-1,771699241,929930508,785966133,-1,760404984,776851877,454286398,-1,273759092,-1,-1,151552066,125119400,983392356,305664056,-1,783715515,23590021,379578781,840699795,848317165,582654135,428527709,875847717,-1,-1,-1,580900496,529699177,-1,402257521,174469512,212790948,65767724,153195490,302356512,361002031,-1,912183390,765770490,271052169,826948293,434585798,17512607,-1,573606181,580601980,413103296,914865897,896900503,566445128,-1,-1,664587976,710439415,538287720,519655363,599196819,124622913,-1,653198727,937315633,378439652,572086856,777873650,953769829,204656868,-1,318539253,634120040,-1,853319915,-1,-1,77516734,-1,-1,-1,526319403,118449102,-1,242161692,921513837,663325857,898618819,-1,868175121,207505273,-1,-1,-1,234242693,991862317,548112503,-1,823244981,-1,-1,-1,934925278,117773204,-1,54136918,-1,-1,-1,-1,66089272,357779418,274424919,153224298,452425213,119694172,169708750,982349498,97329593,-1,155130370,429859982,436676941,-1,8219018,809293218,286414209,-1,360148729,547550143,-1,558013698,-1,-1,456953248,-1,-1,-1,39039297,309404350,632594164,-1,-1,112302192,-1,897541251,542183324,869745763,-1,656237912,178790306,-1,342735045,731290798,434202312,661246272,274390762,447186726,221447386,-1,466556896,432925733,307576644,995268245,744179699,30113890,-1,-1,322207162,-1,-1,465445034,233069398,935219909,955076027,-1,543299363,-1,295810653,-1,-1,864389167,-1,261355247,259044575,-1,337623136,-1,868967809,843011770,998304484,961322896,145695702,-1,-1,643502761,291583265,-1,198070162,896178547,806111436,118043685,521442325,104967300,892652709,43076483,-1,-1,225297837,948428968,-1,622127285,390435716,814412689,341362818,43796880,109462886,-1,-1,700532368,564220496,-1,519120264,-1,185510736,869476977,327387112,711210251,839334796,869956065,937926500,-1,927637510,221155494,-1,216687835,-1,-1,228157447,558599435,363843548,193220308,-1,-1,426399092,749849179,85105244,336584988,-1,735281711,-1,765362834,405743131,900135829,129594467,62177429,13224731,602401516,383391751,157080987,-1,499096916,620838970,346473360,169828804,123609201,-1,980499060,969182768,435537756,-1,-1,3419582,853235965,387656013,949219664,780543565,-1,953513803,-1,714863258,733977459,-1,-1,686565006,-1,-1,740640062,684481274,255181158,1626765,-1,947269419,929937437,192140754,375907069,790050149,-1,-1,-1,933505208,875490140,921398022,-1,348858366,-1,-1,-1,-1,393833433,-1,-1,-1,278108726,-1,-1,195346502,274252418,946269632,767130082,437648531,339112628,81932660,580316429,-1,561198313,-1,-1,488009194,74592961,302113299,924494757,904188190,226569834,-1,887506470,75333955,2124555,988176290,841746453,696649052,-1,535877270,647145281,-1,288594224,-1,-1,293192277,-1,-1,-1,658682634,113240864,-1,227530828,-1,57940745,-1,302179768,706492841,626107857,357106546,728301227,-1,537107114,-1,915176453,994186339,-1,575236720,-1,-1,-1,-1,-1,582313220,325359774,695441637,-1,43153497,-1,806799595,286933232,-1,264280048,759329264,-1,-1,319135621,260288598,676134782,576299030,807090401,-1,675761053,472181960,-1,418992415,926954596,648334608,725249125,-1,198318469,841199681,197908078,400710429,794102350,629897184,216614068,-1,453945600,68158350,-1,207653221,330041052,-1,9874214,-1,863005722,73657439,142006863,72336394,68222576,-1,920243368,684532364,640408144,-1,-1,38607183,-1,309131690,-1,474066900,-1,-1,-1,2001526,915900032,573193811,576403300,711267740,190535903,845494679,406107268,587636559,8632045,206552595,-1,-1,984483114,686121965,801427384,-1,806095573,688917894,626147478,-1,866957998,688778309,796188166,57220344,339227340,150827211,782004351,765393061,-1,-1,432481270,-1,-1,342532816,256672866,108872829,273504566,-1,56396020,585706194,896349045,434147924,-1,314860184,706145904,583792031,132209422,-1,-1,-1,443889534,-1,336148259,-1,-1,486160944,-1,860572196,582821121,188869197,451793503,103294633,796129101,-1,556045725,489758648,980980517,-1,758709063,296256683,290434598,863267259,881358226,949210177,-1,73297090,980665628,217440969,-1,561877933,137690815,750277969,79568134,156475149,233565346,243896029,578697280,134127916,146910984,381837183,-1,227177208,-1,770089840,894702999,-1,605253771,862250388,-1,147770131,58635894,748886886,515564601,-1,514703451,388237816,674470868,229298960,877293964,-1,832421307,458205174,-1,-1,434961402,100768700,795195153,-1,564442725,-1,855352742,-1,915576792,795739271,-1,654490633,29598102,864450641,769621111,-1,345096926,-1,730321807,609589267,-1,873549335,-1,794069404,-1,743502891,-1,629339907,649833485,264605742,-1,-1,-1,221159425,299388315,-1,-1,297974755,526987052,-1,749194509,-1,-1,574532688,258032484,-1,966395603,88922295,30728593,799123578,-1,933450989,-1,771969517,365712381,897241649,47730390,800993267,506353327,839479794,748326825,667652544,-1,-1,253377635,274988263,534521650,899055536,-1,-1,107083401,254523660,656923518,607117231,-1,112835649,534331545,872585376,591835610,541947178,-1,-1,-1,749759797,843597889,672418996,-1,835859763,670044541,848474024,-1,-1,-1,45478861,-1,143094737,535515951,804747680,606338505,-1,-1,571305059,929165383,-1,-1,231686693,993621603,979110137,-1,-1,-1,-1,489105411,25228816,-1,-1,244605640,-1,596937690,840057258,140171591,470296864,956261851,148966395,59026436,521862813,832273465,335651955,762969275,11239601,718218470,834735938,-1,225367712,602399507,256363828,258032992,62459401,599811289,838039746,783513661,515583736,139785953,882097349,534851139,605808703,-1,734974510,-1,567352933,-1,-1,667529467,-1,659351398,196728864,600882490,15119112,218638329,-1,-1,-1,704259146,964639835,166761955,50195283,-1,7839207,393286035,808061908,-1,998913720,-1,-1,301667758,773594467,37568957,421560810,79712746,242969174,-1,-1,585256447,105725420,661872709,605755133,593870195,508660386,366564898,268707566,986060097,262682364,678086931,974006364,-1,867202754,-1,748891329,439894529,-1,513047652,512201758,947014003,368559405,212186367,559668206,231802604,619530168,-1,418067400,86481497,-1,976373014,-1,-1,23637354,985210269,-1,638988171,94607779,738168241,-1,912392771,-1,496851486,215192471,880641670,-1,768210549,290318209,788990257,321195488,-1,-1,-1,86067780,-1,281955653,383364074,272295580,157788931,907856232,144219204,188081428,-1,164612474,73493213,248822006,-1,675555559,360995544,-1,895314071,-1,-1,-1,-1,274124551,926767667,92808602,-1,-1,-1,-1,-1,447714581,169477013,277744133,223103566,610129183,230464692,-1,-1,-1,132933647,847256478,-1,931328105,404084528,-1,-1,-1,362129768,-1,-1,-1,-1,958595313,864445644,-1,529398116,222908336,-1,234312759,-1,957821921,351228120,-1,557059105,-1,167313085,156609111,-1,995343632,602291912,-1,435325943,677731232,-1,-1,384239516,592815856,772367762,850137328,243618955,808112510,-1,655131622,210285414,-1,-1,225675480,90835731,508641685,385726987,-1,-1,206818958,845673275,231616207,649530274,864074922,-1,390882128,-1,175347951,482539175,-1,576070841,282493279,821723655,903769368,317087015,-1,323538322,857203595,416947093,-1,483925237,237337240,164181936,-1,-1,904071781,8302121,-1,-1,958653566,573461982,-1,22376057,212493576,-1,25331639,461557291,-1,159263291,761813953,-1,933744731,406893454,757925900,278368199,104695650,524671173,-1,-1,-1,905094963,-1,360479902,192492610,913885253,-1,515418219,659919394,-1,416133619,378476177,796173912,-1,201531075,-1,71924720,-1,58863638,293726896,230111674,497202763,659413868,-1,853739736,891236509,754204643,156422965,-1,-1,343075202,-1,571616692,344665582,510192924,618298435,163406564,-1,618301073,791682676,232601252,-1,-1,181954915,798536093,814536577,-1,745804382,-1,-1,-1,389870070,294347519,828528394,210371042,-1,921099438,-1,-1,375886874,164112662,418341586,667879713,754738388,1517879,349169336,-1,653969968,707085334,306737527,368733912,124071397,321058202,-1,-1,577557843,-1,333177763,-1,754109729,-1,638927970,909141790,224851807,634475437,960386106,674734684,602322200,-1,439682122,14633224,-1,-1,941703241,752915352,-1,-1,573323689,-1,901600428,874910474,699704568,899830842,856065340,-1,1603582,377775953,-1,432224296,154619424,-1,937876656,118939666,434548458,930833838,-1,-1,262723330,-1,-1,548369393,-1,217707256,847204216,-1,76142435,792482113,-1,-1,6737662,243617915,774283397,827833782,38711761,944239952,957805541,596428521,86030091,314267339,916259878,459324831,145930308,668603355,158434070,928090529,-1,508854874,831210702,496461504,8472276,-1,96757937,381747889,-1,-1,-1,693716456,844548152,854035032,899834010,14847350,814295784,-1,325356661,496210010,34471136,47220237,768640073,648876634,681335249,788132938,96863002,161629696,163826512,147434395,457197508,-1,996814783,336942987,-1,-1,548926406,145130413,538092025,-1,197382660,825510933,833132724,78227612,-1,-1,-1,519659666,157929036,-1,-1,516008289,711917382,120378009,486070883,-1,197202102,800600829,609429508,862136299,830637512,164739433,-1,41692842,86735731,843953714,573857347,710414982,-1,978348387,974474828,834383170,516272682,993254666,532569322,563955317,-1,-1,860350170,-1,877283009,-1,-1,110197318,-1,149680011,-1,-1,296774006,-1,18736404,922406744,143860579,355254902,-1,225948267,-1,-1,943287249,501395049,183378576,258815067,-1,-1,259610552,798208864,415598792,-1,422782854,-1,202055902,421715740,647468233,86203122,-1,873793120,996770063,402332962,210829650,497087691,42731304,255774119,-1,-1,779661406,-1,380423387,533816649,422943983,462912682,870741242,408331124,-1,-1,559633283,597719027,271932818,-1,778014040,-1,950791257,450885120,132141654,931490802,735322250,471228106,832136734,381695025,445014795,735364308,726571357,318608622,852975704,-1,324960260,865237561,-1,2681265,-1,-1,165365920,197847621,195819908,863206985,-1,203317866,95408458,-1,-1,479056773,-1,711408896,369902823,573437998,817295162,243283708,575370666,711839447,-1,-1,943747742,-1,543359784,262494233,-1,677550105,633119039,664065304,16461004,525932132,196817680,864347130,263769676,305370579,314201730,-1,843472974,984454198,688989209,914818837,-1,774432030,540118136,66241644,-1,479334526,-1,-1,-1,-1,-1,-1,156478127,275276202,-1,415825035,-1,-1,516737711,534534138,228914203,750814797,153139850,-1,63988607,-1,-1,946340650,750669189,-1,-1,530744371,511433444,-1,836985184,-1,-1,149747854,436187626,145167451,24422313,713898430,-1,427951772,477599372,573521724,838579085,667692125,250177765,234525799,731892038,46570010,417763620,-1,825621963,381724147,371434561,835262479,-1,69175405,-1,-1,910926432,797592541,51455186,414130514,925756314,200572913,-1,489138816,-1,-1,668378312,964711191,609642108,447340752,234957776,-1,-1,534830846,493022297,306256650,106276351,36093141,-1,713916487,374020199,-1,462668278,-1,649464567,436748149,-1,358629490,528885870,635623322,-1,995016250,553380175,214042117,548886383,284326879,-1,-1,-1,980121168,190627083,880797473,916256838,609776101,-1,898580882,826401141,640792262,885915388,878181956,-1,-1,711385555,627792840,-1,404881128,-1,585975048,207607443,999566556,512307348,748621772,782171541,367901356,81298734,13296792,84350868,271074697,311298379,-1,558119488,552879082,-1,622823659,-1,-1,727194373,-1,331212129,855848378,-1,844257703,597865006,-1,-1,818633181,-1,133128366,93749617,551983648,-1,221556000,817289196,304669551,-1,668263999,390916357,775169964,-1,935926167,564024751,250624448,551453123,131111978,-1,346431253,-1,122216032,500948527,-1,-1,342923422,675301753,-1,248523381,429932456,-1,84487964,344362754,839552943,311955052,-1,835678910,-1,451806237,933834105,-1,890648270,398218495,336033863,661381253,112313736,97113076,594136292,789347250,695748669,407910031,-1,-1,903037366,-1,951604730,260670145,151600867,889014197,461861817,123604691,853224277,288630271,33881161,-1,536585101,614470057,370835298,456312257,842715399,824709296,109716024,-1,440800235,766340537,200119713,214974916,-1,772833134,966279732,-1,-1,-1,-1,-1,627555704,-1,98278231,-1,998708101,771032097,132306562,-1,860122584,727601619,690417567,371504996,-1,145404819,515297493,-1,906814280,288205647,471406213,-1,870460673,699987600,878469490,4099143,2510235,827053686,688493755,251175023,127660971,704000028,70985244,-1,788154179,569304546,604385959,878240623,777813541,335811366,-1,466768618,81266650,653280820,474200106,227733148,799471283,115982581,-1,688443565,-1,949900454,76665457,191255846,-1,807981463,738412185,747518642,805593114,18928919,167282938,731129456,-1,579566053,-1,761459148,191835344,535641520,888336469,933081163,815569268,-1,427603140,52516843,832149853,286753267,-1,807967876,348306602,991912279,8622846,-1,856729655,-1,952095010,694124958,208857507,359738041,51922906,53569922,-1,271193601,788365051,670740139,809368096,-1,47967111,546903621,921944430,-1,537504640,-1,-1,637445247,361125384,834497474,-1,440893467,264715932,-1,-1,391124110,-1,282588148,-1,128230913,385429965,276182530,-1,13313752,-1,888463991,515584,899222939,274651428,21618620,564161018,-1,542162891,243133361,354723541,4028943,-1,126532807,9814161,460008503,888677142,283348738,32049223,-1,739837370,-1,573382180,749518996,703506557,503947614,872995512,-1,-1,177088237,909952675,-1,-1,-1,-1,932651298,368510783,123517462,880254210,655221316,-1,-1,-1,75627998,536195530,743416402,-1,182747872,-1,180405982,736248278,4758505,530943431,560448133,380062882,-1,-1,914325771,-1,164610817,707115945,350817706,499152470,45628206,592380137,-1,264016900,438100803,-1,489860210,808966584,77959680,-1,591733774,337940292,414594033,591085450,812841724,928249937,-1,579327980,130742727,722321596,-1,-1,-1,398150496,278644078,-1,294908845,-1,933380394,-1,765900866,-1,979182398,789086382,329261544,-1,450771238,292163516,-1,443451056,-1,864739240,416954800,109018185,874330738,658886528,564494819,645447598,715932312,194863158,912422951,609027518,699072945,306101945,-1,242347821,311037073,277116657,616907292,-1,-1,488114557,104358731,207370260,325116171,386155614,-1,952362919,366538159,24285742,894711218,624810114,684926489,-1,-1,307570569,913427258,-1,34661697,849577851,337398382,110739439,442293850,951050564,277684187,981589097,-1,906887362,-1,178564389,402971698,413831731,-1,735847823,821122098,808276314,747429706,-1,-1,703730660,481689660,-1,998013224,155728807,-1,-1,349061349,-1,-1,764299918,-1,93979533,-1,175601612,500634090,629011692,-1,863421545,414630682,-1,751676103,395919585,727055296,154806475,188712342,687057550,-1,-1,540938306,-1,-1,-1,345480312,-1,-1,111378329,170390773,953219371,-1,608672605,660596222,181352068,935670005,755067335,590010845,200389547,155374824,425648610,117717631,-1,420486015,-1,733813231,109605462,899740076,429420565,-1,168167726,343424889,-1,434535860,640142947,423042375,671408307,653860099,320622220,324154522,552569828,221858932,35959274,-1,514660178,-1,120262694,-1,810398812,193793351,-1,173257526,496108603,-1,712476400,924159617,-1,163316660,877221207,121088038,19711836,638289660,780268186,645776996,-1,250026477,-1,243344308,-1,-1,157775435,358803348,765903067,309551004,331752855,668254161,739159988,-1,545789254,395930120,-1,626075503,129984335,-1,65100146,609782279,74911216,376562308,809818201,-1,203413554,120441223,576805366,-1,202039997,556828374,338321956,-1,309671008,276713169,483456040,-1,298976495,-1,-1,-1,-1,429977366,646835077,-1,705604715,987952323,-1,513451562,-1,959935730,434435397,887600089,531405503,-1,-1,-1,-1,634010133,460855525,299310495,-1,233642259,661388132,140508716,96987745,924441476,474797979,954766745,-1,818418760,159645903,-1,-1,502799971,791167528,-1,986733785,451220111,574524536,-1,-1,617995213,349714962,-1,609967745,17541418,-1,432733709,523743617,761755629,-1,-1,-1,132647859,-1,-1,-1,693886206,-1,-1,-1,-1,646314139,282588161,-1,80790458,-1,-1,721614999,942171363,588962362,909343201,488923164,-1,366318960,9950225,25548546,462235950,850116693,303345779,888553781,717596760,-1,-1,668642904,538293632,-1,-1,817830982,422368764,-1,609205269,-1,373744402,631598479,394574542,641926671,106180745,844695916,-1,-1,460676584,615303573,-1,-1,-1,-1,678129233,-1,247700307,75905677,411963448,-1,160955186,87985243,-1,-1,-1,-1,886343639,-1,-1,618069717,-1,746095410,-1,637975300,41432208,408664259,-1,158166168,-1,498120227,562886154,-1,-1,611448424,868681584,402557809,-1,-1,-1,940803169,925298665,990383807,-1,733066156,-1,-1,550571985,-1,744700017,-1,-1,-1,973247421,376787569,-1,977400042,461620448,255271610,-1,942018584,314973050,-1,893740694,879424655,990394960,480111639,828788333,593612698,311807317,278763043,-1,584980355,924650465,-1,-1,703658885,796251865,458887730,781752781,620175833,-1,453077778,178054349,392304863,43685193,158322719,462365347,403705304,554715031,-1,972329553,117982960,-1,-1,-1,-1,214424118,726658819,-1,-1,183669062,-1,-1,382781817,-1,398952953,851769586,134946923,-1,620060454,538991459,-1,926622528,282115877,265452312,-1,430596789,546351044,776098362,-1,883752592,888847833,-1,-1,99218206,-1,-1,270544843,145913688,-1,714326743,795682805,763018964,146112325,582274671,-1,-1,315060696,819491620,84849940,73564674,513052746,-1,885233975,258736151,392930862,126062314,685008473,-1,-1,650221461,828010418,1615168,574480649,814951114,-1,993911507,668657633,-1,340941436,-1,202297558,902818735,380559696,354415133,611123185,-1,-1,-1,709213810,897883280,469819928,496752412,666846796,968740744,138253466,-1,605835584,716384419,-1,-1,521084485,633240278,231162616,309663628,-1,524143292,-1,735318526,85172000,542141378,330621828,202794687,785466699,-1,749007989,589465001,691896831,26227211,-1,-1,-1,-1,-1,-1,312921713,599655042,597464203,-1,845343775,798622490,-1,-1,-1,646904000,-1,-1,597407251,-1,-1,-1,645351172,406290529,945998168,-1,315239879,793796411,651457309,436566944,599029751,230417452,234571837,114269620,-1,815204584,690678274,49778260,910904605,629259312,-1,-1,-1,-1,835804840,639750972,591660818,551481574,750686751,919033030,235098323,379522342,-1,122760658,-1,476999114,-1,944998068,642875648,-1,543904496,-1,555326077,159124490,665227308,-1,579009868,581339373,-1,889046357,-1,558541683,-1,126653496,377324033,-1,248375338,-1,567114454,414680149,549666910,580978931,207546293,-1,-1,-1,-1,871557486,-1,960174614,26499549,430880950,675603099,457989492,-1,858407015,731563299,136327199,869986459,808854588,625091156,692402502,953574871,-1,322833218,384932931,-1,151780235,-1,-1,319786580,344834749,-1,709340920,993616483,755933799,58594419,711793196,823333752,118226169,-1,-1,712840253,988334134,557487400,780896564,-1,456293246,-1,463796481,690293842,996650257,978884750,-1,816415566,845083441,926858849,-1,597764181,38204238,-1,350593418,607314027,382750857,581230250,133682580,386044594,103423902,872765810,224761574,81134920,472720629,739160237,841071684,928026168,321214656,410339560,-1,150463883,429797719,-1,905654589,715317130,568870500,486917916,929334718,468379008,525980983,-1,219894501,619512343,438506344,792290870,-1,734837996,-1,85314857,942442015,849172617,-1,213543609,897795704,771683419,59504566,351701973,-1,-1,942682942,-1,977999925,811482199,911273068,347726180,-1,639906265,129513713,-1,740274834,-1,966513102,593277227,448791827,928921052,972486718,109590426,625804345,544884960,537449502,336805133,-1,610961258,-1,175098507,634414766,959370562,935711646,684602339,856090358,667327630,721087776,-1,622553143,958232762,938308216,486894811,988125834,703560334,621291467,184421088,190116556,-1,801686767,237182876,163680348,172053720,248988389,738889475,75758839,304392113,114136880,-1,321902192,933241652,-1,760921337,-1,100439563,152988038,460665882,267554953,-1,940910388,161473332,-1,281201728,733368169,403108008,55549183,912108422,-1,429928101,-1,557518597,-1,430510947,-1,441096974,367649809,540128493,339795696,270282757,741564446,-1,-1,-1,598940261,554923182,399498973,419429004,-1,587317160,960184685,104064127,713472344,-1,16652749,452423232,766680250,-1,-1,205409683,379864306,190860456,547797360,-1,756994852,776721455,-1,675083508,675304062,228193164,289942766,824910355,-1,-1,483082401,277174843,908739525,-1,519576143,-1,168739982,517399243,-1,-1,373900753,467286822,875746347,430922887,-1,749884791,772654221,894004025,219891305,144647973,886512630,577376402,-1,995407304,-1,591819630,-1,-1,-1,617143421,159410089,532807356,931450774,55461711,234491995,284282487,-1,-1,475926904,605721459,825444410,-1,619438461,196524848,307970121,649443442,-1,-1,124345569,544383960,-1,-1,-1,467943445,941824238,-1,656652403,-1,171102075,493957553,674872586,686861986,264375086,862338137,-1,650991550,377869159,-1,893814196,538881687,521658622,751206444,635500893,115152349,-1,-1,-1,170149994,-1,322370394,-1,522730925,335276673,136493881,869926046,527313361,564069343,564718654,754959393,832827044,788527904,-1,199294425,-1,246554067,-1,-1,-1,74808352,-1,424799589,-1,556932269,-1,-1,736216781,553298697,477862456,-1,889544443,467345834,385246617,2115358,657456427,749508515,405733232,392858150,204652065,941501950,104194898,780773621,823632380,900644518,502904776,864642345,854107773,778128266,-1,248584764,143344750,89085337,-1,454357029,-1,-1,682073148,987030024,-1,314527393,-1,266926840,850072984,-1,14297756,690715742,-1,743739129,-1,323469172,975504398,163672220,-1,142827705,718605147,768989951,944907687,-1,317649175,-1,368708723,989361295,-1,91367855,405119328,797364705,307403825,144400078,289748316,-1,998923075,150558160,-1,157045997,-1,450810098,146473377,451630267,324814499,854143287,-1,329010188,198505320,826059785,-1,444018666,-1,740749040,-1,-1,-1,-1,-1,89302109,-1,851627751,224305892,582935458,976113519,813883328,831334324,-1,264979142,-1,560168742,-1,-1,-1,580734633,-1,-1,576547982,100699024,963729988,493436193,777552780,-1,-1,391052562,34750969,-1,722773513,176280178,-1,528323652,-1,-1,565128390,25885260,-1,329931503,542567590,200934839,361213864,195375843,-1,-1,284445788,568779059,931631118,476730935,934477032,171451593,-1,117606275,-1,667958484,-1,-1,546133705,905560394,-1,646621497,205341559,926883396,302381392,72367287,841084923,535410747,154663394,35168741,-1,415348148,28225185,251284467,609884560,766350483,150404417,424766454,411519707,672223788,328077543,140613822,897777553,583948935,703775593,977369972,-1,245893124,-1,-1,807652303,352879824,279841747,285863857,-1,462043549,-1,-1,462721915,-1,-1,460625976,766826326,759563640,-1,611011989,-1,950785227,988689773,914275993,805216940,-1,598094940,766409074,930632513,-1,-1,26032602,-1,423593379,28051718,944936287,-1,742785143,83359500,717079553,925355362,966171892,49449737,595354806,235569771,238618059,812824932,448437357,-1,970474497,875517446,-1,-1,-1,-1,667257294,889654224,-1,-1,799091793,820282367,117794746,-1,-1,632001786,-1,-1,993654994,545246333,-1,-1,786371890,287420020,-1,83827866,256900244,451674484,391979111,842133414,-1,-1,628128887,122169202,754012017,621478201,-1,993492823,274739926,357028176,-1,304773474,-1,858593106,-1,-1,519276040,468989089,892424259,-1,127225148,-1,673723720,565790158,-1,576943750,684998657,171066128,366318197,506941886,326967300,589138698,-1,215101799,-1,417437399,-1,507693767,254563000,954281283,118525213,-1,29495607,-1,954251433,-1,948818664,615595670,290493891,569019706,764557204,655439854,295986338,-1,623273680,484477726,839692413,404662519,-1,-1,808302399,664254955,703415975,924921485,-1,276403477,383754404,-1,-1,392923891,-1,340008066,625967380,918833416,944511632,-1,524057379,397947835,83096158,895417106,615552120,-1,820883896,-1,-1,-1,381827887,69647163,-1,446690342,761844560,908473118,406727693,931559393,24438301,756708818,-1,998568564,-1,-1,740713089,2408372,586125792,411961192,953532003,-1,958906352,865580161,-1,492808018,-1,103305668,371597015,-1,79429026,131869439,-1,731922652,270419205,479224199,172371967,-1,38061660,-1,795802833,-1,990845959,-1,-1,4738062,369063191,-1,-1,536224069,958775333,-1,131561501,414891772,265707346,285621126,343935220,63248423,-1,315058371,764550367,-1,-1,490599048,965415632,104402131,337791750,-1,-1,-1,956212024,89142285,-1,113778031,285906789,-1,560566216,-1,599183911,68779136,856183216,965740304,770577252,715411149,65811276,100048549,201982933,56419792,-1,107626861,843548382,5038424,955252348,-1,-1,213967943,750015379,-1,-1,114067155,-1,819501262,-1,-1,908601570,-1,-1,50788156,803686330,143311059,-1,273106511,266836058,329847966,652539902,254570920,124443706,869167706,369926027,668609942,35054497,394881172,387062926,586186697,17373176,575599700,962689325,737524633,-1,340986968,-1,642868490,468325950,208287910,-1,-1,998199350,-1,-1,473625989,619909179,755561822,421064593,880165067,815877836,351752004,452620831,437798689,575088748,1538005,-1,-1,160349644,482749301,-1,675457444,-1,-1,-1,-1,872020487,434799861,49486357,-1,-1,355773458,-1,578646716,-1,958609791,691174085,401408138,545414611,-1,802122807,-1,729144876,835042810,-1,336100587,516731112,118081905,-1,595247368,-1,345991814,411414223,-1,-1,-1,412886662,-1,846408097,881121692,343508599,824528755,363161075,-1,343694230,19818006,149244765,71085360,612065587,303620971,-1,-1,39126471,477559260,-1,-1,308756193,-1,369091450,599012211,-1,816135069,746762415,-1,-1,681541409,977008633,-1,975816547,-1,474846711,-1,988565708,764157997,902036605,73944927,-1,944838882,844408274,743467015,-1,-1,161550034,613189547,895810104,845677490,464916404,-1,174796262,527408287,-1,936490156,574538081,132099243,-1,-1,994201059,-1,-1,-1,-1,845267719,170166459,-1,162069427,298886962,-1,561025957,-1,541207224,38416038,466790072,265072491,343555145,-1,515273863,301213130,509559431,904857885,889136079,984452569,758822536,864974471,377276916,239056365,596715011,-1,-1,222550023,73879187,-1,381648863,176219184,433003498,-1,157295366,-1,855813398,119156967,844891787,848446517,885282288,-1,128369021,-1,344864657,-1,-1,969777017,-1,462702859,-1,228885766,151114467,-1,800562349,73772366,737773235,157297731,69123491,-1,298136394,900922007,108875496,614502767,849784096,989977657,670211181,485237693,465177890,-1,141053531,-1,9794525,999169025,400208606,442338857,460484016,-1,12995998,625667183,101084467,572012400,648281023,124848371,868728700,136678360,-1,423924584,510292288,39773525,369081748,521272525,561484389,446427075,467460832,-1,-1,553095170,-1,383693011,-1,648476582,121250775,-1,-1,-1,529524900,-1,-1,17025609,-1,-1,-1,390405276,-1,-1,894524916,-1,391286538,-1,906810696,-1,6608730,150177500,134673855,99184467,164068218,161365593,407924461,-1,520294291,409012722,663198081,544126011,933662435,178425867,868738515,770515954,646836721,37619591,575939306,-1,-1,209681958,355702876,746520155,177644908,934542070,-1,191960163,350191076,229858137,271885247,946177252,987243908,-1,-1,-1,-1,-1,97600560,361619894,-1,532993900,763109229,464947014,247339401,-1,144147317,781064538,-1,-1,-1,350905677,955960591,502108140,-1,711236358,553762536,10384803,773116026,844923909,773338344,847010667,423673782,-1,848400510,957603508,342391242,893967086,134257393,-1,593886794,-1,765760322,304287368,-1,-1,-1,33547201,473645534,806742974,-1,897400606,894902037,-1,71473093,40053461,680478300,260403767,132876405,374716077,272351626,-1,807539519,73631220,490303652,757759964,546776517,552346312,689614226,964672835,-1,156300655,615255274,212319865,365391135,-1,-1,-1,-1,-1,-1,-1,933290815,294754593,-1,984696614,718494368,-1,521871446,912973119,91955604,570151608,-1,475941123,304521666,633346694,59030621,627449289,252413283,119107304,-1,6453783,458369458,267801782,946024465,766284586,31866072,-1,44052360,498210401,655509911,518591327,-1,446686426,462434964,-1,566065687,84229217,544142079,-1,63000526,720052365,662797639,361305166,285645485,702601216,-1,264324832,565251410,-1,879076163,151469550,-1,275593036,-1,290339954,407955655,786858175,843174877,-1,-1,906672112,-1,583079771,899484587,-1,-1,142841339,60913218,-1,85786891,529168693,418619031,172881552,-1,838964914,75958058,-1,761919550,-1,964233906,475818765,94785014,400316873,-1,634880194,-1,162038619,908284587,859911859,553492630,32152259,938935825,-1,-1,570675827,435443284,-1,55571,975459253,670314277,-1,-1,715664652,32962639,697033802,384186444,875238028,72818795,391371406,886207678,660460741,944212952,583749222,380592538,-1,144370632,-1,-1,744830232,239293801,-1,-1,-1,659227419,408354688,468101440,-1,615555372,948890047,-1,304226354,653172412,-1,77240289,125944134,888435216,-1,644159538,293181877,614919799,969938821,773365154,195069904,551170516,619622040,370147715,-1,-1,-1,884951639,400164186,466560583,-1,954092324,387581072,799957588,-1,308153044,136127400,-1,572993900,616806665,481441482,-1,-1,-1,-1,457337581,-1,-1,-1,-1,582099198,-1,-1,804644599,492388955,785103639,5799282,108082434,-1,823632550,-1,974668539,706370308,-1,-1,653749729,313169966,-1,975478131,937124238,862114071,742924306,682193926,125740424,-1,-1,-1,311630869,-1,747010473,5930185,-1,67311583,-1,-1,421796349,293137986,853959595,-1,92094141,417264341,-1,-1,61212921,896791220,432040601,-1,120294477,976522754,581681312,-1,-1,657423356,495616415,866240364,304762551,-1,-1,-1,440314612,538920558,195145054,280870156,-1,929099933,293066221,469973618,507942514,754247743,10802264,803065771,-1,356127023,-1,-1,407628464,-1,402308275,591975962,-1,-1,651396857,366735914,303134616,856463083,-1,-1,630503768,-1,-1,-1,503651206,-1,517796703,726422936,197701468,559996374,988974572,484245125,292330231,982042569,732110254,773919265,565652855,846959617,603853156,-1,538057241,-1,635096702,-1,643655207,130648972,-1,-1,678608698,426205441,682194739,660696410,-1,547450983,740522609,21025713,788646297,755179442,-1,-1,405958002,841633912,397339470,887258545,11643682,-1,22818157,344043485,31025883,957601260,-1,-1,767881828,-1,452880472,922607644,-1,402527105,-1,396496658,-1,33532431,910167369,973232984,-1,-1,589809329,394334953,739144135,386772212,-1,470008369,-1,362782520,651950821,179323838,215920411,959966929,972979740,801655992,-1,937569737,675014056,855811706,932100840,860006142,853846965,608681065,609144807,68543889,324281478,466996910,757766239,301312625,659366974,581685859,-1,-1,-1,433180313,999865800,636122493,-1,29274774,267286597,951131248,995436248,-1,-1,38237750,424435216,160249117,390812721,348601520,-1,72782963,633195492,941947185,708963488,824525094,942564516,-1,-1,-1,89547341,-1,719700627,819218159,57920573,645829963,797059168,491310979,824446774,294085650,866715554,-1,-1,-1,-1,-1,860836203,858708208,999646625,932836006,-1,-1,-1,735002499,-1,589145096,943691456,71444383,353844155,522062900,124828503,580019748,635512361,-1,-1,605465814,584594656,395525404,314649225,157415867,812693968,791072236,228173432,540692439,834394972,-1,889825613,91341524,59885126,910196696,671439202,933688834,-1,-1,-1,732266052,450950137,388059741,241460862,-1,-1,14196291,-1,-1,587990932,934726436,-1,797890327,201665080,2992597,671207999,948846072,-1,630175687,585307805,466542055,130332204,-1,919823524,448849707,-1,536000738,666376642,-1,512667116,-1,459751150,845341340,-1,9511848,-1,808168824,394466858,479500573,-1,524472812,868494643,627065029,28869594,224789146,-1,306693000,115180018,-1,415648718,191435677,-1,330647852,951111052,-1,-1,563783086,16464730,906464317,491329632,-1,-1,925565038,-1,-1,802977559,-1,410494804,-1,143453016,739808439,973532877,560695207,398781999,443430103,-1,507794609,-1,714700708,-1,638654083,-1,-1,-1,969772969,91226208,710809953,-1,-1,313469493,840536516,372010674,532269674,934649053,338279999,986641597,403458152,-1,688896117,131165662,572400091,-1,-1,861607702,683543036,437606946,-1,-1,-1,452943380,453407870,462972339,-1,243895628,-1,995918658,-1,-1,-1,-1,727301462,196480064,-1,-1,-1,-1,248511802,-1,733396971,80313644,-1,-1,-1,431689213,299370122,827718257,97729821,896037096,453325662,-1,496213456,-1,-1,335925840,-1,933182055,463848714,590279845,-1,526713708,-1,258055188,-1,539878245,24473842,976288017,192808763,-1,249567305,405662354,560409807,-1,-1,916204209,303612875,497973494,-1,252192569,71404192,647429226,783716934,242784433,242992037,272417376,-1,527846466,762412603,-1,-1,835320260,-1,348309551,358840374,52353072,129103849,-1,-1,-1,-1,38629974,306048544,602041866,983394430,472813016,69271509,-1,569722341,-1,-1,96868615,398604019,-1,-1,609247018,50918765,173894258,-1,858732975,523383563,768498263,-1,42067498,308121582,700280651,469920009,298304271,-1,302020591,47185517,109792890,225348926,885680543,732306922,-1,-1,502856260,798305416,649572631,-1,199095071,881899850,-1,631274116,74649681,-1,742275691,62597501,129327337,-1,371531870,861426965,155490532,-1,385802888,-1,1438856,334448437,557948465,625845202,-1,994644599,-1,324376952,-1,365734744,-1,-1,392441275,671014630,418922508,-1,-1,208469973,-1,587702738,702786981,-1,426197553,963226527,296064276,4510251,317368125,-1,870512582,663448005,563579451,702714215,474206154,562685303,-1,475969892,-1,334888423,598749984,146123902,-1,-1,23814245,575420932,708267465,-1,851855290,669706912,952456878,-1,973795613,614085773,-1,-1,-1,5603070,486385361,655909156,104495439,955055533,345776740,-1,-1,796370998,414392562,436104084,641098199,591398125,274167083,334087247,822105658,576298799,-1,738623626,-1,60321676,820854768,169446435,922865559,888497875,-1,92316989,-1,546095138,367347851,50180596,790850766,560425149,389046804,-1,157390123,-1,65227231,254782392,566425724,140268370,398969424,215651123,596599096,583224835,-1,6518884,615020386,792618577,357362035,-1,62502628,454916414,561196034,763537972,413281200,-1,406980225,-1,768746882,339268942,249170417,-1,391388141,903842546,615200577,-1,-1,535176112,324653492,435691453,-1,78470034,-1,-1,837901850,829796547,837373020,-1,463879558,455360313,343105837,631180159,280056812,-1,357848966,575642060,741703364,930386530,-1,-1,651143284,713425649,822113225,-1,829836585,-1,584907051,435562997,-1,163004672,960385343,110452248,650585075,-1,959770056,291406565,58078498,165864514,967224138,-1,305435942,668702309,107082814,405529097,224497454,384679271,190341447,833024742,712240079,386722224,688515509,510738557,117281205,563628737,171404251,174782549,-1,706426384,971183354,726156015,-1,-1,734597981,111398732,-1,-1,-1,356828592,143686194,588430976,-1,867577864,869606548,182925550,695921442,267811524,-1,128729047,722312595,-1,503728773,775785065,67649165,143295539,-1,494871600,443551247,296038680,907818311,537540738,-1,172005904,850449652,-1,290546216,573724601,-1,-1,383641017,660389071,391767828,102235445,-1,334019812,872986697,393378789,584794545,37190779,-1,209527858,347352687,569740304,447005436,-1,513943784,402874888,595183640,855614183,958941209,550850573,810042136,451068694,10014739,260452634,320765035,609603984,72527534,-1,-1,388845345,642057255,216598276,21637767,387051475,476804034,976837648,133603985,-1,-1,-1,-1,-1,-1,-1,-1,486309458,-1,-1,181873666,749562370,344405732,819635694,-1,-1,-1,740572742,541304147,904444618,613760985,-1,397928339,880744251,-1,-1,267573703,706120301,873674808,958697586,431533288,423802308,625219643,205925521,944345553,444710044,-1,-1,-1,20088282,-1,-1,-1,-1,-1,248786549,588906168,349686504,343898468,-1,84388960,417918369,189690828,176165736,-1,116130019,254294705,482476171,-1,-1,-1,-1,-1,104224638,349138747,981408932,-1,910484928,471514192,887085320,-1,-1,-1,279350958,640850990,815023711,-1,153439420,-1,-1,748044620,919611448,270473982,673030867,889093330,-1,-1,934732113,850013190,47098254,-1,571917552,555094537,542951546,933690176,562564666,-1,554928431,47410401,159109202,-1,780995163,370411488,661311780,-1,281104198,-1,-1,691423718,344533644,-1,406752634,405940188,-1,611873980,492329456,73702341,-1,308714486,-1,9148887,807479552,-1,133250456,315045020,826071319,200083298,307760018,-1,-1,-1,721857049,327943864,139839715,306008557,498285570,308120140,220042477,-1,233213362,945707492,-1,-1,436989057,-1,5291610,415564879,891661872,38323182,731667199,-1,-1,201775687,927595979,-1,-1,184347970,502450759,76980283,-1,928545254,8687732,10126575,-1,-1,282666465,-1,-1,418322877,6278355,790788415,-1,-1,815860492,685230156,852407218,79106553,290341128,764589834,-1,925729326,760381847,273919073,862054633,921758938,-1,203436392,-1,866787448,799496541,739182028,508639205,600529158,-1,-1,286340687,-1,393561385,262435007,606336186,-1,70896248,93126619,930383023,358868079,104260177,-1,-1,91363539,645398373,-1,-1,200726954,-1,-1,943178845,-1,-1,-1,-1,260260500,65012817,-1,986897608,830541414,-1,257184834,-1,272757638,332067001,744087604,-1,610760292,-1,-1,-1,-1,978762264,-1,-1,254786707,-1,-1,886589341,128980064,858091589,32607088,-1,394403413,-1,256131333,278694143,676301107,963366897,-1,937096386,-1,105980042,585040176,919624228,675235726,154006222,-1,818311188,-1,345791812,223504488,825875260,498610613,924067707,60641639,-1,-1,196483865,-1,-1,-1,773530582,148301813,426570552,-1,359675009,694370526,994269857,-1,-1,145641543,-1,-1,-1,356011773,437975008,195486492,531892761,328935424,-1,796013387,937166442,651672430,812536184,-1,763233068,252937769,-1,42371614,372177934,-1,-1,-1,-1,-1,412245591,47485859,544529715,-1,25333166,759628073,-1,-1,678518185,180762270,-1,-1,196980529,83629633,383690060,172013627,357978029,838946472,-1,-1,200601619,-1,-1,158497016,670405992,645820094,192174504,427015566,256515268,-1,224330384,770460407,500753686,982063265,-1,111123158,408662203,991363472,695709475,700393805,654356951,-1,509978125,-1,787064155,363163955,728341072,821581638,972634283,-1,407979053,746963844,678822976,672509231,-1,858019337,-1,525865532,235216313,-1,-1,14440021,838024140,866245431,-1,-1,728839298,416876444,-1,300311632,147202225,420700861,-1,902658247,-1,707035330,266951341,251516446,570246184,404769106,-1,-1,-1,325092994,-1,-1,-1,-1,129559117,15213935,-1,361209334,22068587,133863676,536173543,-1,815134066,-1,881515485,329495054,529818461,126194332,218397434,772136390,132955984,-1,674704717,188464731,-1,503959058,432626897,-1,947262646,-1,949079265,617082933,-1,-1,815893661,889404712,846095580,321062428,489163350,688786382,177115197,278584230,-1,589753781,-1,-1,605385447,4515718,972821055,202984096,319433926,244958953,-1,257031452,411275638,-1,583868726,-1,358409833,704508644,-1,233828454,887111352,53081951,888625703,-1,630049204,814869790,191386166,850215781,227997468,401159570,388758001,-1,503698404,512437606,-1,762472660,217687972,91911533,209322788,361699013,-1,592356757,973414811,740560660,743837257,998294462,543319207,489162449,565260158,572399818,-1,-1,-1,21951704,-1,800680901,536069924,-1,-1,769087056,449597494,119955957,-1,311978195,485215987,846662370,568922162,163096888,477459765,768639037,711267647,734295782,-1,-1,-1,404120491,-1,851200333,2039109,386430266,660951396,626769669,-1,698592428,31206609,-1,419240368,996748371,549548505,-1,-1,6753084,372447936,-1,985931339,-1,556610279,749957927,61855386,-1,418583146,413230935,-1,952298593,353162730,174496792,563179179,48520007,-1,-1,-1,749072982,170562339,257586772,855442989,-1,345134827,923569349,884408356,800426111,957758006,878471570,-1,442673159,34698151,541179317,50159602,721316823,557785446,-1,177714306,358936702,938822717,-1,-1,828622537,-1,-1,-1,107563133,429059315,157563794,905668321,434938419,152340346,619435901,914675047,260404694,732566575,16275568,-1,120674781,884933119,41725866,734151966,370740731,730150370,480754794,353781570,43181125,-1,593157172,418424472,96344894,575259808,-1,482260109,-1,379156198,537205226,241211319,805620702,869798610,624865822,50179902,-1,-1,-1,-1,-1,661291942,730072391,621613807,415736634,402878376,979666619,-1,-1,727387335,169374851,662219998,562878787,792970517,22571308,-1,145195951,-1,260540396,285183354,665890876,445716326,420683847,-1,-1,768613193,163864396,148122537,-1,376568321,509496604,336182280,-1,915582364,650403297,669058438,-1,160598499,645912140,93288554,659295230,618385095,993452918,256633007,420830198,997193636,-1,107439423,-1,-1,278878917,-1,771683939,158835313,643197079,875723398,-1,713685527,597857196,-1,945985291,-1,466514990,-1,773277960,960041387,955511130,984238967,807814979,975644575,711983833,60190139,-1,853539722,934789658,-1,680594183,589525696,845270334,947836552,69775208,124098962,831030393,-1,180059612,-1,908737104,-1,-1,329546531,-1,-1,-1,99961749,703407935,132376658,-1,-1,-1,302908165,-1,107922151,564215314,-1,-1,616136193,992187391,-1,-1,999899286,278141104,-1,-1,402728954,107661563,-1,794977195,154632364,-1,559659955,805293861,-1,81589031,219314703,746585626,183825730,867020135,49025421,548796093,-1,-1,384935112,-1,345526793,956448041,5702791,519702442,711156305,732620756,553007280,13000278,-1,936101033,-1,156035668,477893751,-1,869618708,-1,56964007,315009071,730115765,581583813,323805020,409915931,-1,-1,87127025,-1,517968432,35855663,132466249,115035404,-1,379159479,808641564,399765344,125536559,15291154,-1,770407810,516874418,570379276,102301690,954417881,851265603,67174704,552663582,112603884,-1,-1,-1,28113489,785314761,47746501,-1,-1,724097795,669285081,758204673,-1,206536938,-1,-1,-1,497307009,833964088,341471337,803970954,318398830,234445560,339387994,185726897,40568008,-1,-1,492777965,164049590,134059662,949681130,873402532,136854757,-1,573945001,-1,58561727,952904442,818128995,405952424,3954512,55836141,137612540,198068539,982899901,905364306,554928784,748847834,-1,612723421,-1,975223468,937271301,123927310,520711605,51942213,452615939,396987169,661845214,-1,-1,-1,45369244,-1,845284094,702900404,871514532,983442520,466108871,-1,696110536,-1,136798194,678023570,944843785,22604721,581783450,-1,857650690,888279370,253537043,566663959,948922840,292532423,799800138,371607839,-1,726208357,-1,-1,73987974,159438833,92765751,-1,788963583,-1,61007205,65644155,804208944,149406070,410667949,336572105,-1,267344169,972424842,138173321,852462897,901519072,764182996,557544,-1,980633250,284424062,732412958,-1,112492808,242566680,500220879,870726679,986357428,812774770,-1,736290226,205784943,-1,391862806,83670521,760073226,444742605,59206839,750254205,972485024,372238777,-1,316704131,105564959,-1,84665694,249166425,148715765,-1,16314614,415241288,280586727,996088869,713960438,127136934,171667910,69771945,389812416,-1,584646390,569990128,104466930,179197238,866563467,539775488,-1,660325143,50310383,-1,-1,866844648,604593010,155571276,-1,-1,587433539,-1,129123986,242776351,860365316,731341055,-1,937629458,777285878,-1,-1,782029330,188988623,877349161,917375270,-1,-1,130738780,-1,-1,703050112,736231994,966589250,912714627,432721831,963483007,-1,-1,-1,341619882,112690982,994162335,-1,-1,749320186,935747073,321890888,-1,169808424,24726679,779250877,157036851,-1,72137264,721570234,-1,796598731,-1,656558969,461407956,267949866,-1,150036736,759847237,921925763,263167537,518973093,877634294,-1,754536663,37485560,757774049,-1,111688471,-1,48089926,-1,823815431,974572683,431704105,-1,262113754,489287188,257015038,904909315,674048379,231577943,627171627,365570453,-1,489998028,-1,958495786,-1,837784600,264982259,-1,972582233,692052712,31919273,808527616,-1,359709117,475437385,-1,79000516,84471309,-1,120219667,28623712,576272640,-1,-1,850543559,613477680,161345499,899656238,-1,761536507,386505285,-1,646018514,214806701,410866163,918783977,800855899,-1,-1,121129691,-1,648594554,876672312,-1,5219514,51154625,444013513,888155537,-1,363853437,176525186,-1,-1,-1,629583867,-1,728717887,370724723,406942773,65588738,-1,79243759,-1,227588861,-1,-1,68172069,219086429,-1,840146257,469273383,-1,851596228,424023394,-1,147385422,-1,597180334,456508676,786415557,304363190,634797149,611454388,391446736,29001837,645282469,891018066,-1,181044909,-1,-1,458011813,291283726,304126885,580565368,-1,969585403,-1,137244988,348859390,960435896,897620149,630108916,-1,-1,375019117,-1,-1,102885980,-1,696266997,616683536,-1,-1,-1,714102819,-1,-1,883443302,496309687,554267984,737650970,607232050,784097967,226625533,516112255,341580815,350086639,506056263,266372940,-1,-1,264539745,312374633,-1,-1,743197200,898191189,402673945,823690285,700553706,-1,625013037,461384131,-1,125484958,-1,-1,-1,422779923,-1,-1,815888508,119975523,-1,220239098,309463304,-1,879530935,296411022,-1,425215518,-1,-1,594679971,400278624,964646314,-1,430899575,530458870,-1,960256301,112605492,665488230,455049335,669169954,793056337,486617984,534881067,814910582,421857888,232402075,199668453,-1,735378048,-1,712339611,36722522,525278770,505519281,683644744,-1,72952853,91587431,981580364,913377533,-1,551989529,305428467,-1,161093416,-1,157773194,567286957,767446457,459360634,815184592,533060417,-1,208461378,-1,-1,672463311,985157683,253915298,54253819,-1,618208460,617719085,364471146,-1,181690551,619001379,385612432,-1,384427019,341806922,927773559,724271119,711058822,-1,238084100,-1,-1,-1,360758486,-1,132390864,-1,964829700,852200291,-1,-1,236247969,-1,-1,726286298,-1,792291939,-1,471539054,340280731,280855635,-1,1799118,199312761,723966911,29090477,353364578,15530086,546199901,343362440,238839812,703470291,31396782,-1,856886705,763631739,-1,902840641,455441185,861490515,672411096,584331257,55625840,945510780,-1,170272103,-1,913470211,-1,633828777,-1,-1,-1,967713215,105843965,-1,864939588,316961783,-1,130251076,978942976,77104224,615324184,647403872,-1,148211190,724917918,-1,500315302,170022105,-1,941390724,-1,-1,954453402,-1,-1,101228503,317176428,299460782,70470068,673834247,658463079,740528503,101328936,-1,-1,-1,135985674,963393356,994819389,512869932,971745186,835385814,11962477,-1,570326862,-1,274672297,-1,440492226,599347800,-1,134305638,289690434,26686300,-1,549660667,-1,-1,900810864,996627338,-1,255696238,726784735,-1,-1,969391051,44535065,-1,-1,707262653,981232219,135239616,25056992,79399676,64312535,897457370,886893439,705977494,561741135,-1,410068562,618549819,706666836,-1,-1,602854827,744462941,341601561,-1,756098435,358450133,-1,504200837,-1,-1,-1,724604045,992321243,472530674,67465686,670523808,157757339,432111475,-1,608447607,-1,983794032,652605401,979285100,47637237,510652472,202617528,792107323,43162746,-1,585114681,-1,-1,-1,775476953,19666624,750117163,34137164,-1,678661660,-1,523423624,-1,429351829,-1,783531418,417906251,-1,545055750,993293026,540515385,58751508,-1,523424266,395725056,-1,505988998,604992122,-1,-1,-1,-1,469945255,881783349,187599527,408247640,667734548,98248591,189480880,897856445,-1,996907216,727693572,-1,812526446,973193825,860850645,327002385,157609586,553576148,620963800,780536069,-1,-1,191405958,821074540,-1,-1,182368073,-1,247834258,-1,316401300,519976577,88596638,-1,536900414,530835521,828123790,165540652,-1,-1,724049861,675271834,390876290,-1,-1,876441859,901970555,-1,-1,504231647,977271519,-1,-1,401925715,87743585,178018065,595280751,24493228,230246442,402659372,580355602,-1,551858653,55176809,876354906,56688750,816840179,720462453,535927389,-1,989771231,145991879,129390098,540111044,229276374,69066543,522343772,82730883,-1,383391156,811314885,669618488,117258930,452822648,-1,178958940,-1,987549752,840109442,-1,642833267,571592978,461057460,685894757,-1,567888391,655769725,789018579,164552122,62648067,167433226,355485507,-1,403429830,-1,409509915,320427347,275885757,379699199,395196116,939825593,732681858,467550708,-1,681506886,739872817,201009186,219181206,970832289,293694328,507728102,-1,-1,883355982,-1,260672336,365771733,38591573,167321741,166134801,-1,892776604,585636739,-1,687442736,368301850,-1,-1,-1,692658676,-1,3413450,680166384,285389588,120674218,356013634,799759387,-1,-1,373553109,-1,825289066,-1,819982117,547251053,-1,-1,714199209,842203140,905370965,340273391,530518300,103856123,818123507,-1,969295106,246344661,875723132,-1,27157440,929712140,-1,-1,540802164,485025889,7542955,614830570,772011297,307775073,653635600,720001537,-1,698383938,420104979,670780441,575145214,22973290,-1,-1,846460197,814845871,-1,33255365,435827639,-1,901239195,669091874,918946046,-1,382692318,791875366,451358202,6858967,729656960,748492932,177747845,452747682,-1,-1,-1,-1,76404727,-1,681783558,170020443,196834673,-1,-1,461830084,50656236,573539497,367767202,504111136,560697215,349280344,457090811,-1,-1,-1,113660718,756214666,658599641,618524012,84841786,81472739,-1,483182920,310319423,91030084,442016115,510944826,-1,120135455,581927266,948458800,-1,402409365,94687680,-1,970443678,969895509,505309801,537244826,934852010,118914357,940834779,-1,833969969,-1,800808673,798213620,859729571,60752739,719882457,-1,839142610,929041342,413435952,849935744,-1,-1,-1,778994217,697404947,368683489,-1,94717297,-1,235452672,-1,452808016,-1,607792757,23629874,-1,445253839,521884583,-1,357216378,918701522,947083779,584920081,913964810,-1,798876518,-1,-1,-1,670394620,180935513,23398793,840898407,703706412,689588933,316602831,245780964,-1,116522652,883838684,567785958,776053097,-1,533167674,-1,-1,-1,-1,247349847,393135327,-1,-1,422303542,849514649,-1,70260157,127824081,211513082,98065140,158079692,161623924,58209611,81887873,327705841,64304531,907337012,128046507,-1,575023689,-1,-1,-1,-1,937623243,-1,-1,-1,193247786,-1,386061687,-1,-1,-1,241486917,838223161,-1,365332069,777118206,35445875,57452369,486687309,-1,-1,-1,811260709,203308177,345151644,437009586,-1,518264054,921930056,-1,765558212,82454130,814164764,317348735,169843716,-1,-1,54091380,-1,486783001,983165850,-1,638808614,-1,474901892,-1,334324030,620382041,-1,828479486,-1,-1,-1,884065226,384246623,592144228,630489797,-1,390735298,-1,761551844,643645048,-1,243605775,-1,976848792,852102800,845315435,909925164,200465571,212448925,790017376,300211869,608490957,520146264,969921206,901457481,-1,177970799,-1,994769462,628926056,947943296,934142647,267244138,287474502,966886085,392705103,787684712,659622530,899724847,90801155,-1,414941371,-1,-1,437123160,-1,-1,742011113,303986509,-1,519157260,-1,-1,877265905,-1,220871094,352808950,-1,870115653,899278850,933279306,547886574,475669273,321123473,-1,687371610,807349252,-1,621978218,-1,-1,640160533,473110088,-1,612338545,467525862,-1,787297535,-1,-1,22227773,358834040,-1,340019655,782397792,710826101,351794599,-1,938226725,38629868,-1,685491656,72423897,-1,91697307,952732299,-1,728825807,984057637,-1,717357766,592070208,-1,562492363,-1,-1,947208631,939529794,210750999,-1,649831121,222467229,-1,99864067,561378152,179338043,175390289,495190361,864610693,4606283,-1,520578775,647887243,441659846,985821286,702396601,803847348,-1,529015147,382253543,-1,-1,516704737,579293838,318500886,301596245,336184371,-1,639734966,655386597,-1,404207224,-1,690069030,225956001,842282064,-1,334404990,938939264,209522964,367799056,-1,412810175,690806569,-1,164474177,673222301,129583269,502917463,-1,-1,981030054,59609196,171673823,977778541,-1,166414148,261636548,-1,733273585,-1,-1,-1,482928583,327841417,-1,577874200,369603283,-1,-1,423267881,-1,740216766,371909098,-1,178170385,478398555,-1,-1,900732349,91403058,-1,233676838,-1,144076181,-1,-1,955894467,-1,721445310,216327520,597986771,370645862,612727117,656829665,619641127,852112648,924000056,-1,204614200,-1,773565930,417954353,223416082,-1,188371603,480479243,-1,980742017,723164285,126421338,645133494,-1,432135054,846442593,152111315,-1,845229339,145501129,-1,121052239,38542486,222248662,-1,967012993,-1,-1,52015479,-1,282591272,-1,-1,789290154,164572692,187568032,403464482,-1,-1,538161092,235487661,-1,876404828,64454408,508248930,941029189,835018402,79000771,718895335,-1,-1,-1,-1,-1,369576371,97489942,204681355,735826464,-1,-1,780520205,21959836,491700051,190670769,-1,-1,448286764,535568478,929106449,-1,-1,496416604,865836221,407529097,-1,552800803,-1,-1,-1,706604881,666245405,976661854,758853357,204195515,406622329,13315121,-1,577866978,-1,431727560,172155459,-1,939299017,-1,25721746,162243878,-1,-1,500452531,-1,954828254,-1,-1,-1,-1,-1,927589300,-1,430331775,636447707,162241553,-1,553329738,541241877,613768237,349113772,-1,159284798,717341975,913240606,-1,36643214,274845334,649375441,590930934,509123866,858161444,766746485,-1,484958209,-1,339464752,-1,929840311,273221358,206746291,-1,344165285,47135508,633880849,503310492,-1,316638852,408823727,713823041,574319176,-1,-1,278093976,-1,912673245,378810497,-1,150879188,293446419,682878892,135604052,696538200,467984473,-1,-1,-1,284557469,-1,-1,11893320,479023841,435221030,877345876,485023253,157278251,-1,296785816,-1,-1,239054236,214836167,272356553,797966616,-1,350428387,950822178,650420903,923810565,176395963,415338542,191178397,875154445,342101909,-1,92512293,-1,743489968,-1,637490176,696534211,708629599,251161842,-1,195541636,369025817,972003915,-1,888902881,413302194,795121879,-1,506175526,905289864,429301453,23239989,-1,636273075,45794098,50154416,94741733,278428157,450130320,632192003,623754334,915556740,-1,648833436,113514918,173535166,823021835,203657070,90974544,479298859,914833036,-1,-1,-1,143223642,-1,510673092,-1,307853367,131425133,166412574,838228399,257318204,500879225,633261201,-1,-1,450154730,-1,670186641,-1,397326233,-1,899103186,876692929,-1,96668412,-1,48412331,390105622,689389746,37570804,-1,245265222,-1,14637901,825326688,-1,-1,-1,974609261,-1,958368127,-1,307190696,-1,155326519,469384648,-1,-1,960860313,-1,368186897,-1,489701001,512673540,470908631,774851433,-1,818907608,75129936,-1,449822951,647645930,372432467,315014894,-1,-1,563455769,-1,746113529,201202921,906222120,-1,860123387,348994748,-1,-1,564071014,-1,471936522,935716218,409571030,-1,904637486,1930729,-1,377594966,87324731,473111865,-1,755016529,901393923,500987949,713484847,753526093,319396549,503996403,765671398,623136690,539455451,105348220,-1,158850324,559443698,-1,-1,695776211,985371375,699301560,266987943,438219130,573168203,-1,38192980,877041226,909295297,128646076,745529247,388721170,467618154,-1,736349988,131655060,553434045,-1,997584640,-1,822429674,234061527,599992138,864420770,546256280,75093020,239551683,-1,255197387,829643601,-1,36067933,913606565,637785751,999622740,323826874,893221801,-1,-1,-1,479768897,788108762,311230427,-1,188248666,495432580,-1,171658374,216095961,-1,-1,956226842,503172031,631910377,413152513,-1,-1,291770281,776502783,541832809,53333103,727353783,-1,961245446,-1,553979706,57646080,817547456,-1,762304990,722085747,853242559,-1,-1,-1,-1,612939310,757545177,-1,172607877,600328548,816757213,734055958,525903880,66261039,-1,185995570,842614264,338524590,-1,-1,759199331,938287767,481865433,60570021,-1,538387983,-1,-1,12554046,-1,593839435,828167524,226023415,-1,192852403,376315585,549826725,-1,218322851,-1,193846896,736441991,164020269,-1,-1,199712754,491397717,8754104,112534432,907506445,772058689,15414931,71536470,521515286,596501982,-1,-1,-1,636625735,-1,995133316,687312147,616168195,-1,765538629,231085635,563635165,-1,3953072,827335774,-1,117483628,-1,-1,340279716,981649478,-1,489521584,695606952,206856356,-1,289064807,921997389,-1,19339899,245275751,-1,217184360,524194984,-1,318969503,-1,911342905,-1,-1,759257750,792504234,418097935,640659212,575374908,454645736,700211384,757923963,538751230,762795384,188796011,245654915,653014166,595719802,307910051,340978462,-1,532434177,789910516,630521154,-1,137987317,565583405,351922942,-1,-1,999545024,875617749,333466573,240543738,-1,-1,713727520,279148933,527240179,86419977,661145298,236461223,440532879,-1,352566171,372163876,127076064,-1,30792697,902666501,607438294,546814520,-1,337021849,64177775,106565760,292365169,52471657,558094358,-1,27826742,766535407,908519923,-1,857252123,181968012,693323176,135042192,68986039,-1,534238764,363870132,-1,892826590,61346209,623117786,276636667,857529996,-1,931855313,729598540,890909056,-1,-1,-1,36773060,466506828,133501008,-1,-1,-1,329433955,-1,-1,962823469,57151580,622935154,702348220,-1,82564762,-1,786549499,-1,605924842,136479372,451918539,320258017,-1,-1,928922889,468857953,294279155,-1,-1,-1,643547201,761110140,439777520,674255669,895384627,413703645,279947034,156645285,188500933,276681839,986460113,-1,603919147,-1,644401701,347108347,-1,-1,480507874,-1,804763749,-1,547462977,858857063,637407119,-1,295313301,46964656,-1,96674647,452574120,813310915,-1,154519699,-1,-1,192923111,-1,402420045,701695328,940056499,186395938,-1,-1,883062812,-1,1725901,729720748,904256943,-1,-1,-1,456050016,906434179,858059398,-1,-1,788025944,890087177,728550626,83196239,637340858,653546360,795643425,682883542,-1,-1,-1,-1,189939005,749892444,303179289,-1,760486741,-1,477658846,879858480,-1,404481290,816043688,959087554,819283583,240159231,836538141,254628961,421416407,962443330,28408580,645463501,-1,646020344,760561204,-1,979211595,-1,197847248,669081350,-1,478321082,-1,85684007,979247880,292002322,-1,-1,477371329,-1,654870922,-1,-1,169707133,761865155,-1,11979333,775039576,221964675,879855425,347957699,332107489,689612353,244478363,260915697,461459518,124611614,332264291,824251155,280103779,401852119,-1,-1,-1,787751236,-1,561141627,337452439,853760764,696694711,326323247,791990445,-1,240262563,347783537,-1,634901250,258916751,487093316,629746557,578618582,227298362,882952621,533496470,124076009,-1,-1,-1,-1,889198898,922677486,-1,320674795,326684948,826864800,234029439,621193659,-1,744142230,121282634,784607506,590021273,-1,360586282,766078749,408269363,766314506,828003064,-1,-1,674424824,-1,654745614,506514128,520543631,279073904,-1,125486076,446466898,-1,-1,468613788,320471697,-1,720821640,-1,118095742,-1,857121960,678927429,151365133,-1,893708699,729843285,97181430,126734204,719322631,780842896,67970823,314610446,744130857,-1,361101772,109915155,149166692,-1,937244201,767971309,765533932,-1,138206634,248009838,212136327,745354564,-1,926265411,-1,-1,507032993,-1,816196972,85524933,634479821,-1,181112634,-1,91734692,-1,126993718,-1,-1,657861394,902498258,645327786,917200471,959934068,328020752,889131520,674604860,-1,468050293,-1,-1,570323416,365033874,-1,553243095,-1,776480919,143764530,-1,857325061,52037432,-1,30851444,486953520,133427930,309040248,915383862,565522624,20218085,893659242,-1,99823454,49511949,737427938,668286647,-1,180065721,425492418,-1,969649261,-1,-1,876943569,353426982,989244523,-1,-1,562807273,230264241,353067365,-1,-1,132361234,512659921,420614030,73916698,699531483,110188158,415950134,466161113,-1,451280262,-1,-1,121814942,442369566,702537016,348014521,897062631,621717182,169011220,-1,-1,218564801,32555200,98345268,985315659,597468255,959167017,418243535,285617811,256587130,284592380,-1,-1,130798179,801527499,193832372,475980663,-1,866746549,475544235,919324461,358210087,700285534,468546593,-1,178406988,568803339,263882108,46163966,-1,152831152,26723819,751918320,-1,-1,457104293,921966020,-1,743750859,687145986,618845940,234500588,-1,769861198,558997184,-1,146997532,-1,457115602,-1,305749371,899917696,283083416,892342899,-1,429235181,51703265,-1,323366710,53599414,-1,499361721,527967617,300020395,26265277,408978085,479998269,413272805,-1,144185665,867964790,29233650,222775385,867210287,-1,161776204,371778942,21363395,832451272,611853728,76428680,730406319,-1,174746474,871176143,816015609,165700432,-1,836217485,-1,715256376,585578742,769234660,-1,-1,138968204,627408083,446336168,855240671,940988130,-1,686235054,649376572,-1,-1,989070857,327680161,-1,552406307,850259374,880137875,801992789,104074632,278000389,841440835,98823466,844342479,936328851,177885436,107475636,-1,-1,-1,-1,-1,-1,930610936,-1,-1,12675815,-1,383352915,7229155,888694640,-1,163840162,-1,-1,686058417,158739866,475085014,332382056,737291279,177913625,482154117,864934645,893576173,-1,565215312,414015463,402316694,55319698,738595432,581455553,805589231,-1,439174810,-1,128516846,-1,428341805,463336291,-1,267193516,967961287,799540462,-1,601838286,-1,-1,93269292,307455500,198435399,547120202,-1,609694731,881304473,227461369,398218382,992237037,498824292,5534895,-1,576355388,-1,298420428,-1,958467603,822291545,364947442,106741940,546824748,131123773,-1,517588311,-1,-1,289616854,957187112,405724938,942647688,-1,168616618,760926381,-1,294029837,656932060,350957696,65966983,-1,490792188,-1,163117839,252707386,-1,935221264,-1,-1,815503303,395767713,131393231,851607065,884838784,-1,-1,-1,-1,269781437,-1,-1,930470859,-1,930240461,962863478,965537977,600632697,182103199,-1,849776392,717156254,103147487,828616782,656102238,225897904,997977677,-1,453023037,590494099,534704310,-1,355956330,-1,394913255,-1,657831985,258108663,567072508,474832665,46107697,995179442,687245547,816587359,387925800,-1,111696189,296816847,222863684,595066259,668092667,-1,-1,370289142,334525806,647949746,41846201,902885529,880764986,644594541,675401813,-1,198154349,308278550,-1,-1,463684793,514293589,886441835,678786563,-1,654571254,218479251,237487732,925889793,319449258,57129592,-1,832180901,858345239,806204891,-1,947505125,-1,800994510,-1,346997536,759124700,659560871,-1,588807524,463534368,432776685,66277541,423897825,-1,817748611,-1,43116758,919064517,-1,-1,-1,431480611,-1,955257684,602006126,814389641,-1,-1,11935347,42244974,-1,548689127,-1,924738607,603806835,-1,540334919,587719193,414241683,665207758,-1,322985873,-1,-1,695207895,-1,-1,456336907,488078910,-1,59654713,5938001,-1,-1,92357694,153994655,812763647,368147277,231192840,407123290,407591671,944878456,114716690,253540990,14059801,773683116,293168856,637739461,563119229,-1,962668580,-1,855012281,-1,-1,-1,402529912,284657816,870204784,71304083,994972524,340419705,248740172,-1,-1,655166330,-1,369324751,822871494,153230108,-1,560047708,-1,739481614,-1,-1,630869486,5222068,271780019,314492450,61171255,-1,-1,-1,380264589,583146397,629362095,689663441,150585658,121028727,285552191,127426160,262437824,-1,489472032,218820795,397210390,653423516,200434728,139843866,600414609,230845711,-1,763290908,793866630,367848654,-1,-1,476840799,739266264,-1,152095299,-1,-1,949029765,178234326,-1,333831398,323040874,262700407,-1,-1,125897960,544563293,502991555,935374950,-1,287744900,301864536,-1,-1,641005820,299462328,44570168,-1,-1,311693708,452078315,519471209,876213052,118437109,476406809,204950557,-1,132269705,563333316,926901728,-1,-1,-1,205220662,-1,5821846,636776468,3125983,956233993,738391357,684469695,-1,-1,-1,144899833,558369507,261521052,484777754,-1,33700639,937134222,92319512,665132760,-1,-1,716233841,-1,412767688,535614916,414669678,-1,787481852,844237225,478767434,330051695,107331069,736112791,200962463,930363757,361476723,-1,539989636,677725372,597785680,358923939,-1,744867791,367722011,528406810,-1,207760447,-1,938204561,961351433,41279150,544404314,72867527,-1,611357533,525924962,217236589,631819030,431319864,573684218,587685628,-1,565014688,46458701,-1,247086684,438977825,770214613,451657967,909873997,257817986,227446564,351548691,-1,960576147,944442802,146675421,663581626,-1,364536770,59345003,845990280,-1,7250510,179382148,-1,84321189,954339449,882085089,339791341,705931858,954049578,-1,57916620,917028497,847194884,838812635,707730026,450278808,266986072,838207154,-1,-1,178396259,762454302,819621715,-1,558887255,-1,-1,19482980,159039202,573814653,889744143,687624092,408305756,-1,819420612,162131151,398087942,790570300,776628391,-1,235786054,-1,-1,396199285,-1,-1,341784360,-1,870686975,-1,765569888,135574201,-1,435892135,218441177,957509691,764272118,771811718,846321694,608970981,941850747,628286830,-1,128253764,71009589,771777025,698667801,757529013,325044894,480418387,-1,210359527,520147534,917513148,-1,223845229,38960840,924811719,230117850,785045133,296030105,143046045,-1,4067177,802793491,725177649,735021725,916009318,-1,347372152,703196314,915214777,153016374,-1,742815363,-1,496252267,543431994,-1,358627726,158427814,-1,355537157,641063142,671678272,103120992,-1,899994647,370447556,514641110,-1,473071908,449377950,-1,859534137,815587096,-1,605976303,987764637,667054524,431649175,225503181,665433899,-1,144209133,944786078,-1,-1,839969405,408582905,653146426,958147471,392587226,-1,223860302,-1,961553934,-1,601677363,551742156,108352135,399989145,-1,65355158,803242562,-1,-1,-1,391057068,775341664,-1,909270907,453900437,436408333,90922343,406997401,727153361,-1,247335469,-1,599741519,311164495,332389678,163647124,361054576,867680555,332481030,-1,337048314,-1,639085987,607538706,228447678,366065040,-1,2665782,-1,190737744,-1,-1,581637765,-1,-1,885030829,-1,82667033,550415798,-1,-1,321170629,659261138,-1,942413396,859602837,-1,540120730,307423427,-1,334652637,385392167,616937952,-1,320035402,-1,724167834,-1,317017272,824850278,873265421,338551018,-1,314517053,811963159,128180481,81038153,82478800,451640482,-1,95329731,527853618,18569658,-1,481244361,-1,-1,249553977,104721266,467356250,-1,580873560,-1,114691694,-1,23969720,464873635,-1,356219542,513970926,400259535,185143371,303558730,165257720,512876961,844083309,876651353,833191503,847534085,36872673,277473866,399147415,-1,44366383,526811532,426946913,215098288,41844128,810593417,-1,-1,-1,-1,630448501,677390981,760657789,-1,-1,-1,875027802,757972043,-1,558826091,393978845,13826872,111732616,237377644,500439715,786190507,645044234,560215348,966742617,911273200,741828797,138936574,-1,754355686,251758561,-1,-1,-1,719576092,684132456,554007690,885506946,525409680,223399427,-1,747371051,794541130,-1,472610148,514578448,71273640,705302594,-1,496364412,894309705,158429009,-1,710616208,-1,350251881,-1,-1,457152055,-1,16104284,-1,328214346,524847965,893713226,548729776,129324698,-1,736978891,74955205,-1,440830700,-1,-1,601492742,21254171,777148408,587878621,-1,777654230,411720896,845895068,-1,110341401,-1,273742099,998113321,-1,620949947,-1,583686194,828789912,845916027,-1,394686480,30578361,81654563,23511096,-1,659352103,134443703,-1,523010419,810560382,-1,973834969,-1,533606711,246524501,996288521,503616358,-1,-1,730932759,416312666,819353393,915948760,484419560,234703885,-1,21816002,594611040,424310950,350079915,820961283,-1,894886444,570359096,-1,124990449,188683671,-1,443440753,299135865,-1,218753380,491873990,964154523,-1,-1,-1,-1,955245796,-1,654329982,-1,450092611,865357294,250757773,-1,-1,914451008,959948997,-1,894764011,-1,594141967,670442088,-1,608247590,-1,387589341,938708940,816227059,812756712,583374473,-1,-1,777632236,-1,177805500,-1,826845841,536442225,-1,399186988,525088327,253803075,329782596,-1,665315768,702381802,38385214,-1,104740893,-1,-1,-1,318801934,885758667,-1,-1,911518657,4708245,285857908,724744797,448584830,729477275,149169006,851467948,249586289,-1,-1,-1,791178304,713790803,952693297,761801525,192737250,-1,-1,541766332,-1,77171391,730490225,-1,-1,-1,234505095,-1,858385870,717067702,-1,728843833,-1,556586183,744333808,-1,494980181,-1,-1,116396784,-1,239532539,-1,911541507,-1,-1,-1,136875926,3502578,519202009,586628039,-1,286582035,946638772,52036928,109022540,-1,816318084,536138894,564431280,718238472,-1,818981850,975509873,-1,488838851,426325079,312895858,310996982,-1,24094394,-1,649149205,884072924,-1,388134985,657068148,684174113,-1,-1,277533018,-1,82942015,337875324,877642283,420909479,73531119,-1,217036349,130800923,669087442,-1,35281129,892790891,650759177,598171390,490333360,527764859,-1,764821808,238444540,-1,453194496,816510454,889299385,346723886,-1,306034514,-1,-1,-1,677203151,198757072,-1,945391914,-1,-1,232537639,773218962,677069834,-1,345335157,422812096,-1,766617231,212837120,75624618,-1,547170681,245921564,-1,739776517,315189019,-1,478851209,349799160,714899975,160890429,244411911,-1,230989366,560519738,-1,-1,-1,38322916,994216906,-1,701261670,-1,825164453,147662221,442940839,-1,-1,883146665,86916192,977907602,288528691,204333405,-1,451761161,524042361,667013806,198707820,690266888,675728780,-1,964290264,324419655,235479404,-1,1784476,742328302,-1,412233368,78512838,513063511,-1,-1,690585112,462928314,931387359,451655857,-1,665354531,895114201,917605427,423815166,619025985,345657447,-1,393859655,-1,352737624,-1,-1,807905234,373677051,13021210,-1,737795860,443673616,227135138,263319509,867589661,483853384,-1,-1,918837052,504792979,836342913,936545681,760447034,196725569,-1,735957034,774117662,940291731,870605688,628060931,-1,-1,-1,858258408,20102795,-1,12738121,250924865,-1,498168071,893440121,986430536,-1,976392173,-1,899956630,487253031,931834859,-1,242599063,-1,243934448,11648171,115172878,646966501,24089025,313356476,510466551,519862562,807688751,-1,672838068,764682175,945877224,59099152,-1,590504040,567217734,-1,876680413,117367607,-1,286732095,-1,600449734,189386504,229025698,395378915,870288235,271009693,484464803,367907303,186463494,653519228,986039043,641880972,617895865,196922190,19277664,-1,895765467,-1,830264569,892813446,273637209,881791900,512632830,612777777,262590464,719483268,190248612,624833893,853210825,-1,264568383,27751000,36978770,175561771,300930733,355863449,634459229,145016520,549137536,741897320,54351573,-1,248074535,843195976,-1,120521617,236067113,782270618,698763578,341066302,-1,642121616,307443237,361290695,954844511,-1,-1,787699525,552052506,890131074,204215683,304539799,941404406,32582603,573613916,681338609,137400468,224407648,954291777,963201455,-1,-1,555297592,624058942,315690087,92343445,436600523,-1,117085813,548521990,-1,267833762,738180561,506843570,257807920,-1,500239774,191327694,633279974,117826286,782916262,142962352,728950480,596790698,549122141,116246651,204730775,-1,870167749,563257075,75184709,260184279,103982557,45141122,617614336,824542831,590181282,-1,854225759,30912878,862201720,-1,467967,688266731,913097278,421456346,333815797,612517674,735849728,-1,359615401,-1,570874195,21731321,751613390,570608155,72054628,630487613,733383363,-1,-1,-1,599593273,59424142,322905850,-1,903558034,996865232,-1,459019184,998149751,-1,493616905,603007550,-1,740809804,510318262,-1,455905160,-1,12208056,474114688,-1,70056402,32432767,466010006,-1,218337262,-1,678374276,-1,-1,-1,462818328,-1,642277094,811755830,-1,427404601,590299424,360938723,145756871,259421158,-1,873699086,694582750,595416904,-1,560816493,-1,-1,-1,-1,770815874,485263008,-1,633242683,-1,393657950,217798006,-1,-1,718262819,-1,-1,19185695,789618828,206122704,-1,-1,-1,204358419,-1,578837310,-1,62388507,242476124,425342891,951410377,778202780,552211428,705633109,716104726,465984698,-1,953826939,871060626,-1,153794766,-1,963390516,-1,-1,553664014,799450528,352072756,476263014,-1,-1,786716472,401981924,-1,-1,-1,428108776,867676141,423345014,976559894,123239846,120383085,685109848,524256191,510703926,768904802,-1,-1,65929210,766067840,-1,671186841,770361382,-1,324604675,59048593,-1,435927989,-1,892532268,-1,-1,-1,954463023,122899450,639447331,291444179,201024195,-1,967595397,243534584,130753102,416092048,-1,-1,177820071,592889029,515238116,930189741,834392158,-1,491766017,-1,231045340,-1,679108050,-1,-1,-1,237159981,852632654,-1,-1,-1,-1,786635279,243674895,915170029,6607156,541940986,921682742,532756963,535359626,621769189,-1,199244554,835802246,865183493,-1,769342289,-1,74282665,626561583,-1,-1,904315416,-1,-1,314044569,220761327,34319101,887083465,857648866,444212497,321732187,123698237,675978856,474756820,691694790,-1,-1,9646414,382353707,194546354,-1,520952019,-1,917640713,616934858,391172624,187912155,-1,-1,422135594,-1,578305180,571988422,867071492,-1,224641045,-1,-1,934885992,574175314,-1,696840122,814857707,741882971,615078436,900255860,-1,-1,139106419,-1,-1,230561815,785069489,746598213,-1,-1,-1,-1,-1,-1,-1,123957898,650597220,463432202,160160044,-1,354224652,491524502,965838827,827889023,-1,119211929,426470362,153939667,-1,435907329,328484113,400411534,-1,498033191,360642948,640482793,331320224,-1,151827858,389029094,689279828,909093437,207269147,571279604,-1,199346776,218439750,88703750,591889133,956458156,-1,-1,142197270,-1,431964180,-1,-1,57217798,329832298,883081772,-1,-1,272016681,30118594,193280352,978892812,478114288,-1,-1,64734054,906384885,366137524,194909769,88496499,851510189,10726600,418223473,-1,338718309,81944915,725013266,657602227,-1,964406751,-1,261986663,-1,14763235,689876063,-1,-1,-1,-1,-1,200022005,-1,-1,-1,538672893,-1,969345951,-1,-1,300999374,546032989,823223586,414795042,327840073,35791008,899347836,495905414,928672999,855814545,203638146,-1,456543479,-1,918750390,626044605,524288501,-1,-1,-1,154377395,649824612,188121751,411540763,358269396,801966272,954308321,62156837,-1,-1,196990885,850781921,691590386,-1,547939056,-1,603895534,836793408,127080683,345200162,-1,157816330,999673045,412312724,704880117,-1,-1,13198998,-1,42919021,-1,335534563,19451887,525216844,235310821,600196134,580270867,75689523,926673254,403272492,393528723,-1,44489338,746398700,29114273,-1,587360241,872993836,-1,23418726,784873638,711717504,-1,674556388,-1,423955689,837652903,776709861,-1,111581846,143012813,987390201,482298708,-1,553168810,184088269,692656116,598046011,-1,965054633,50031512,824963352,-1,116453829,418227618,837334919,-1,800949784,654008758,-1,935382296,-1,975680211,264678313,-1,989740445,-1,-1,-1,733405396,84581019,872666100,323435532,754307973,-1,762011341,-1,227581849,952939472,930201255,626412400,876923985,-1,232905232,463102302,474064630,123816868,490504599,-1,71045242,-1,-1,-1,409278509,-1,-1,471218305,215324170,-1,999680221,589528181,-1,485960044,118407682,-1,-1,918143993,-1,403407764,412393844,378202718,868584650,874521357,981112045,666226054,464945901,459742098,811615720,737650260,146463799,901352058,223846937,442416018,614018043,866564738,817618711,859000906,227174248,286945143,988371107,-1,-1,101491944,120585097,878907240,-1,192986356,-1,769979700,9568611,-1,132352078,361077110,-1,-1,354506168,-1,-1,591278981,773390231,219918442,813778940,772063002,-1,-1,-1,921378791,724671044,-1,987129750,-1,-1,66635536,-1,72484466,933706496,621619105,959012610,-1,490109314,27970811,86372489,507691147,-1,763780560,464845189,-1,122202159,607702412,-1,478574444,69305140,323723330,-1,-1,562139457,409181141,671608429,-1,879520563,717140627,231550881,746823696,-1,910346070,-1,958549841,930622109,569264584,859855617,653673758,237626675,-1,725880834,590778796,-1,445828445,761270837,466682195,399641845,432997026,-1,728346587,-1,-1,-1,609185267,-1,-1,465603928,80062091,-1,518210993,868539153,765223964,-1,553732772,-1,788051906,337560963,937331666,67452004,-1,489074556,452096714,738500820,-1,12309081,898157895,352336790,-1,654392311,-1,182705100,206656305,975627967,-1,648219500,-1,392217474,636361464,572791541,-1,-1,794025565,613579437,942870469,264204768,-1,417301079,374016862,956508195,177119644,399170016,-1,147678476,664348841,-1,-1,-1,101909949,95291160,327621887,132101154,319687917,483253535,-1,715471569,160935716,-1,721315757,478552761,904720028,463920145,514310278,861521105,520300923,516901919,873622708,70910733,876616311,299851066,-1,685346520,-1,850142692,827737522,454668876,-1,939302521,222445810,-1,406765936,281151270,947436430,985556496,-1,-1,-1,401186495,378167447,769725116,572453898,331915977,481263047,-1,501710303,-1,924735028,35745255,756518320,587696712,746535586,857767865,420462562,373336571,396773601,-1,378473926,-1,-1,-1,-1,904399660,720494777,-1,650064199,-1,545036262,-1,764095665,559434933,810717137,825634754,860448876,351447106,877904439,588609475,-1,296598826,-1,964769327,360616430,685634875,773992575,994162552,665581308,534882596,887997708,473022780,-1,839695217,-1,976585559,553426611,-1,762490005,108322250,121357578,27561638,435166803,492580040,467801598,711355300,497664875,656194958,298072063,778290340,93590759,-1,-1,955640051,64878846,988152146,-1,576412902,-1,6419376,729240623,910315572,893550062,989261129,870708547,18883871,228335060,543106965,280905477,-1,148190477,247992103,-1,7973057,109648888,-1,195379448,980370060,871984001,-1,457588525,-1,725899479,-1,693555421,460290463,679683371,292437801,509292346,348414561,438059233,257750717,487502636,305955960,-1,687170316,-1,-1,-1,-1,-1,321294370,-1,716554929,358181798,871622123,722426901,273071605,-1,-1,-1,412983763,497249691,700778134,111853648,-1,-1,-1,407983983,-1,-1,-1,-1,-1,156915250,183115000,-1,-1,415437979,357123276,-1,673934857,306648718,-1,518847548,478607805,520369780,-1,-1,361813205,738965763,590125961,-1,536844787,-1,251808669,989706806,772518888,-1,717581122,416536561,791232082,330141587,223118334,816083202,404429781,-1,185598151,165497002,595473231,36486788,546066938,834348967,701215184,-1,790034384,179217095,90885493,870352537,84767143,-1,292923014,50886699,585404261,-1,49249867,652504820,-1,382439727,47228332,-1,839736194,820878412,501143950,155144742,-1,959847237,701800301,756962047,279129785,703241672,947817946,-1,768837880,331367148,533900692,-1,535767785,-1,-1,102948347,-1,-1,112905030,-1,824987221,-1,423343289,206419382,105409148,536834937,152710369,120485758,516454231,-1,496695885,461260457,-1,477380148,375898504,316772742,146278920,631797797,882788028,302385286,-1,403365036,304137356,-1,-1,217452384,241287008,629479355,805060662,-1,138396642,-1,-1,-1,510743292,697064803,-1,638759591,-1,57453394,-1,570377916,-1,7203086,810349766,239887288,-1,12573561,715596315,438215715,730751753,942049176,-1,-1,880800782,388506764,175492688,503217276,479666205,217882004,59170758,427749618,-1,-1,907151038,138778703,58036980,693714790,111285897,876106109,-1,36985812,416131434,-1,367135815,280127538,-1,-1,-1,-1,911905949,103579261,-1,483817409,897116362,623784543,100901047,892858432,247051543,245972416,-1,378699817,241936491,-1,216565983,69527525,-1,-1,463290593,946798413,199146813,147801371,593849285,19841837,421799172,355784774,25992347,-1,430708137,419988234,947083332,516468122,239581032,279373740,-1,830169997,25023130,-1,586866941,524439814,675986857,886828641,-1,103403088,-1,165215446,-1,503388842,-1,-1,311795120,955525257,-1,819826773,866984767,806388190,976656609,382016340,472957867,-1,518785714,142034072,-1,967159846,578796391,955591196,-1,756507596,99226084,37193297,395800101,945504896,-1,-1,420977604,838486645,911735197,817722298,502163832,-1,-1,133821070,392146842,358479093,273414586,-1,435656818,173360280,-1,-1,756185281,908230259,512959472,-1,691290409,313228115,169288379,747718589,704875622,443749996,-1,-1,618261548,242038796,753089052,475580104,534088250,741334062,385324056,668132690,601377163,817946690,366510362,97659197,586983877,-1,-1,966594914,407446707,199100969,379382199,-1,849847973,580799177,515668576,656800757,-1,-1,96939093,-1,-1,985198169,373886599,492486718,-1,962186495,-1,894948973,268947597,-1,-1,807923615,-1,-1,946983227,291886892,565592135,693146403,-1,447919382,104979784,663234335,58422019,891096483,-1,105190853,264263733,5511429,-1,-1,-1,977530248,417153751,541409441,-1,405928021,-1,-1,-1,266083273,-1,702335707,738688943,391489863,468233308,663438993,844679517,-1,385715773,-1,429655220,263756125,285879196,517267978,512170206,6306512,14317421,511839082,-1,663839612,32011319,473981993,678698109,883172743,898562464,-1,918233677,946429945,467462788,61079264,346584252,733609761,106474865,-1,-1,353573710,130127415,225987823,-1,738224742,916523813,488667757,783103603,297420867,-1,-1,-1,432484393,112352938,394529392,12949020,-1,203105296,18037863,587247822,-1,396757808,397955608,-1,-1,39021004,961369437,46074808,-1,-1,40833784,-1,288579550,-1,652191442,917928091,-1,912395486,-1,166651181,-1,-1,330281093,16174310,-1,-1,953651197,530642497,-1,-1,-1,-1,-1,-1,395841808,183187555,413553502,-1,555046225,351636826,545601830,915200616,-1,-1,928679212,388455338,767523653,-1,-1,-1,133826868,765201868,-1,360069314,981908025,77174749,700551787,206916204,880706338,796880576,697434270,-1,321064291,-1,-1,693480617,401133184,-1,269970289,704370914,167417123,880132514,-1,-1,276160655,76522121,965352653,79412867,1307137,943145225,261443624,832102965,-1,313528527,123011040,796986682,669434573,-1,141917246,760083817,-1,466241611,91004706,804569880,286687429,-1,-1,789191400,982225627,961348579,996749196,664571377,660658146,885359543,-1,162720536,788515117,310670292,898329892,265133961,422084514,530139003,424997620,48968873,-1,124246867,653143129,425387455,-1,-1,410516550,42207289,722406326,738414131,30541526,-1,-1,-1,169350897,476783992,269650248,-1,-1,798949531,-1,230635063,81132108,-1,533696463,469034557,374019910,-1,377014406,-1,-1,711832596,-1,765902508,824634645,741234112,205441380,-1,191120956,516626303,947344986,176096501,351127808,228067385,594653149,797535054,-1,911076089,844344475,618982205,210198323,19744075,-1,-1,593974225,189075893,940579189,857225314,374825920,909450509,592288322,325885162,663237702,466519321,-1,-1,-1,192978760,85615854,979219066,862796067,338783995,426302454,481020508,-1,666699756,182818925,495974495,913859577,-1,-1,642121607,210238744,334717984,-1,261069561,960052955,-1,-1,215828212,954017656,-1,567144038,394916446,-1,-1,36439404,-1,262674313,-1,138955565,357616996,862214578,996090222,808446471,126961796,530608374,289961642,291668772,993956090,-1,669928617,192405182,537486774,-1,597726707,-1,-1,144446723,-1,690118221,599923936,547507916,843142591,232738467,634883743,898162147,27499907,213980430,880345154,340300043,47589508,232930854,-1,-1,328702928,965431301,194517877,-1,-1,155094257,-1,877739766,686727772,629081157,594765149,260849312,634062321,-1,674020692,217215001,-1,417471647,-1,-1,196396566,959771599,179029115,-1,509525813,215645359,317290711,433212161,375193862,267145724,142115322,318310056,633747242,477779596,98385895,-1,114166837,-1,225862778,-1,838095462,336092823,51848394,-1,495622390,83153747,-1,224623414,977465749,809993383,-1,730270408,415821902,879930611,99142352,436799463,49727021,-1,-1,814290158,883337571,293692502,-1,-1,646183297,-1,661264790,47513928,-1,314488127,-1,-1,555344314,390746038,369294681,360051511,917851793,152195878,335307671,-1,917989498,681589744,-1,490225181,218121142,689449245,-1,178807411,-1,683282914,422423326,-1,379460096,206842901,-1,-1,582968160,-1,815429134,687644594,316509210,336304837,254073214,-1,667768656,811581336,578017387,445021689,71967153,-1,-1,-1,262627228,826137480,593889361,859776711,972963194,534107931,756233806,896903517,465672094,-1,997517163,98511477,461841047,82093963,732422510,-1,923762413,639495887,811198539,-1,986361878,590510233,470304636,731313055,-1,839179455,686461616,957193519,-1,572863605,736863581,125106243,-1,-1,-1,-1,168298999,980666614,677065999,-1,947952598,222820166,-1,-1,-1,725032962,662098785,215978713,448109612,-1,-1,666315605,973689819,671145723,566711796,145453502,-1,576437891,-1,664472332,650228957,397973849,-1,943851324,760372554,-1,182866532,425176486,522285784,92561577,620044518,130604050,170104418,626697892,741641176,-1,886932749,209579601,375973983,963786957,-1,270217913,209433540,-1,712452635,426133730,65557744,-1,684214049,713031905,434858780,536124167,24638465,871866261,399665078,148481434,950332364,899006555,849882124,-1,976407901,286365138,363600036,772468551,-1,128651194,80534683,910981900,744762154,-1,-1,136468132,165377894,898295881,34140186,235784549,566734635,526399010,941409488,634917616,686768871,502541291,634374361,176117443,839463628,-1,-1,807788412,255634969,109463109,283266327,612690362,647322881,652648736,-1,-1,552704670,-1,-1,-1,165243936,-1,776944941,438948950,-1,-1,703089191,903599073,916757595,220062314,383076305,231121523,534995270,636185707,2244581,-1,960840812,22590748,-1,914176906,566885167,198423333,271995537,726634155,-1,-1,-1,285348806,100836287,-1,867714521,441208800,-1,123270330,28003344,273379263,593872200,152697303,78700973,-1,199718697,716005378,299224432,-1,-1,932977076,667052412,682089093,-1,430532768,-1,-1,-1,-1,-1,53363528,-1,-1,671778993,69623504,58348532,445675004,34337138,331590277,243682968,691425462,199173951,59486029,7094846,259124742,546949870,683475603,808695402,-1,762908293,829471256,-1,-1,-1,25947504,105398093,578845952,-1,610441997,250037553,864117310,-1,-1,-1,-1,848209169,192270540,804323748,747493394,420197415,404882330,-1,290560186,423531970,-1,-1,-1,-1,198363349,758763201,9548546,820679184,-1,-1,375793589,-1,714875144,555649049,692049149,416572103,661293673,-1,148190838,497910429,-1,634982592,-1,281670286,50966360,-1,-1,-1,717602173,781675794,-1,963782659,191894785,381257440,839384857,944108261,868153372,105808137,404458233,-1,853429326,554109250,874447778,526342776,-1,186459699,539190876,-1,99741684,572980372,-1,601383623,-1,-1,-1,127345081,560876239,835556133,752033217,664083931,301203387,975875732,218613209,522924220,688350489,-1,380331896,-1,653384481,919024268,884957165,645290046,297716619,-1,84246401,3750316,29043057,-1,567690188,124393983,-1,-1,510595662,985984310,243300831,489074788,826904489,580034978,168790757,82107889,826203269,-1,280388470,-1,862506256,701645837,-1,-1,-1,746034193,746929920,702858423,898360451,-1,-1,-1,965542784,748758871,-1,166854415,947360113,630425383,-1,-1,119090273,435086396,180832625,911937947,709837994,521943417,656756932,-1,-1,631083539,204945659,724670218,818732809,-1,551244721,122607992,4495176,711640979,662381820,34243730,-1,514603791,942463263,-1,696635118,-1,246093796,424287916,950413637,-1,-1,729259405,159788014,604156628,652774400,-1,-1,75092133,-1,717147985,770141253,836257809,-1,-1,830609585,-1,61452187,197673711,399357366,-1,-1,-1,651571726,374813295,105559605,-1,423444931,103566300,427077445,-1,-1,-1,444437990,991864282,537966297,-1,-1,10037644,563507084,773316971,649078556,847211678,-1,273105568,-1,95564884,212458102,-1,854195190,-1,409965897,324838808,-1,-1,301348605,494490640,-1,-1,998485831,148644562,-1,-1,-1,67624879,795362692,849705392,321185764,790841412,-1,-1,-1,540159036,54832833,245358571,-1,114084021,-1,460442674,587502616,608395849,-1,435639667,294144257,-1,-1,-1,-1,-1,840944685,791448812,-1,339836479,925187647,-1,136717254,498241061,-1,943000481,432114110,292349756,768216512,-1,-1,47727573,364281135,781504815,325967895,878920071,460010958,-1,361465557,581214959,392726770,724028226,85812807,395507465,731739707,431977048,-1,309095595,652092052,936929465,422740696,-1,299149601,862805652,739771879,-1,93859415,319122855,184547111,-1,893356196,628168259,253151196,-1,446985311,-1,27650416,-1,392398004,602662593,23113549,939259453,-1,329012486,104950352,514324688,-1,975931756,-1,370112601,126980297,397417257,146390150,525764434,63733821,577340820,431777988,-1,587194581,177354322,999640924,509918960,550197013,-1,-1,574351736,729024167,-1,821244351,463983198,904301415,37467533,941886472,-1,-1,526399126,39819914,54165981,567792501,339810363,-1,752364658,-1,253911562,188506571,879024997,973934110,489696096,-1,-1,562689281,251585692,668929758,-1,990930117,-1,958492575,748788425,18876682,-1,630618128,954590172,738142451,265453959,936962623,294244060,-1,202421652,129132480,-1,290962542,-1,883036535,884371447,-1,22782482,223150462,109196022,453441302,556325625,387523268,382396031,585204177,-1,702202744,457892188,128930159,-1,-1,84705796,871240931,331445404,426495805,-1,64585976,594391848,979265813,-1,489998206,917869914,640341312,873570379,225099339,-1,486153896,723097246,-1,-1,574442466,182220602,-1,514609667,700081904,-1,11640580,972493022,715806971,911162859,674866768,461041863,637355684,457025181,912748560,403498337,717193386,690056000,309567821,445007106,955318878,-1,-1,169765573,358903675,265250591,-1,-1,666177488,-1,727154822,442649465,895650199,901808600,51119527,981293401,933416472,-1,10940312,481027443,220319305,267679653,453658571,-1,767303222,434341855,447204833,-1,768272251,779210359,-1,448758398,-1,63850284,464301010,-1,16358829,660660158,104997278,39002459,924674886,463821282,170780111,925401596,194812448,283784569,228008115,216979733,-1,-1,714637252,988963609,-1,954024545,315942169,290471128,164744144,-1,270884654,515023525,764025183,500815585,91304649,-1,-1,964267544,-1,894705457,-1,611134897,977881630,-1,372269268,-1,-1,532667495,-1,826728958,892822758,610293887,625848664,491408455,301563136,-1,-1,744780257,-1,-1,-1,310471869,712947766,-1,-1,538980487,971189568,791171532,-1,315782337,376650693,-1,865412458,-1,-1,126745600,546817451,667838566,-1,-1,640261027,-1,45601632,-1,-1,260860688,-1,993509732,-1,-1,-1,598351280,852104514,178889881,799580470,-1,156090897,92853858,272086256,798229877,820728308,643101122,426158251,642054223,440310359,935218362,736369785,890827877,-1,9220539,-1,202104,-1,-1,933791973,-1,-1,771591051,105744908,317393354,954653387,417192312,631288592,221325764,634432849,12413742,369122900,182220466,194962671,197634924,-1,-1,755315653,45189345,135821405,-1,430025314,-1,904384745,-1,666954051,-1,-1,893917053,-1,-1,836579680,696153016,433990229,254421378,-1,-1,210676147,835671050,759216313,330472926,-1,906328285,468326379,955424827,386081197,993422040,-1,-1,-1,987888708,-1,-1,958031946,663154408,411206007,65985192,-1,152333629,114127848,12172128,473984777,405287874,921488062,533381405,81582402,194735190,549864211,252533319,163509102,96148337,-1,-1,490337025,607530115,803896489,-1,417100150,828320722,-1,525797329,155231986,-1,212205528,-1,-1,-1,3613279,295270615,849945930,388257053,-1,822675587,94363835,700697379,11218636,995627742,572721624,-1,-1,-1,766209973,-1,917942791,-1,678840618,-1,167116694,957724585,835799607,259473255,536833646,932688907,-1,672699232,-1,154707272,-1,596022721,776677339,627146354,-1,986674991,858620057,668655576,406736724,387335234,-1,901134417,-1,-1,646780495,-1,633582143,-1,715403644,555756067,192464599,-1,48748863,-1,872036381,-1,300815528,-1,-1,968689687,721219727,-1,718686822,371377480,732854419,974389327,232951148,-1,654185763,-1,355154409,48840542,533408171,913841960,-1,316861944,922338620,838573206,177703448,510263093,-1,717195832,681979975,313142627,960566466,306519201,792645959,-1,134264271,-1,214866694,293307963,985491846,-1,-1,-1,967495811,418213153,205297924,-1,-1,62371671,779131266,879617752,868788116,-1,194421000,449164746,-1,915616961,-1,760963292,668745617,-1,-1,586146810,303500150,53615997,254815908,-1,-1,-1,662099175,7397962,-1,234188150,551527487,506245552,403862635,-1,686271985,790306857,185327730,904656673,731987070,386581118,-1,219102321,-1,477690565,141164191,-1,-1,450217995,387346830,646783087,890336274,-1,-1,908489536,339460618,836777891,87687570,-1,-1,133120592,503789942,-1,746596025,-1,402428135,-1,160707943,57059170,295872696,383883568,257079299,-1,664213525,825520539,616128782,921126058,-1,144766247,989879336,-1,709282652,-1,510143592,301424760,892847044,902460192,462531465,434856981,248454419,842944653,989361569,967614111,-1,-1,-1,240515444,320131593,-1,833093834,355522115,426064531,-1,-1,709376728,-1,-1,-1,-1,291915523,522844797,-1,221907021,401433332,-1,982964523,-1,791530574,-1,563720627,-1,353226794,971922013,717153482,412916021,222265317,830022031,762609915,-1,-1,13911988,244169328,542309690,797011306,-1,-1,864589212,290322196,-1,206637556,-1,314453302,-1,-1,-1,-1,249558220,759996379,707376072,-1,976240347,901725565,644068285,818137622,-1,646915646,801509160,-1,288192744,658069868,337478297,524836552,-1,-1,861801101,242125830,771318901,-1,-1,722884243,507199210,368346273,-1,873981061,423397008,802832223,364125002,-1,-1,671009868,-1,-1,700464560,-1,771173669,566736907,926742809,274756189,-1,102314358,937415422,-1,-1,469588642,513755876,-1,395393167,945104976,-1,694355380,-1,-1,641613883,723538842,-1,-1,812628161,-1,-1,458179337,375260016,-1,-1,-1,611838670,939332708,727688052,26489326,397687371,3104158,756580619,713557540,289783614,967522712,475510910,755719768,928409366,102710432,-1,-1,175453930,547921471,-1,207999390,718071151,-1,68655552,927129216,290304194,530854282,291318020,367910974,447217475,-1,-1,-1,919104463,45708963,320091584,992289093,-1,819926689,933877619,65835319,233006104,975691839,793248598,-1,-1,-1,-1,966586758,433897367,580471649,421710614,833540556,-1,407314728,-1,646905209,81167006,736471849,579801254,362247035,-1,961759293,698788214,-1,866179220,779723442,291341738,-1,724624638,825992217,706022324,245242471,234325895,469734905,-1,82094602,286595418,412222795,860316106,-1,957536382,377157358,941251776,-1,963649387,923546444,23636053,550628982,748320762,-1,672503770,752149420,-1,545736967,872355339,628282881,263737766,-1,92100523,421432335,-1,575340834,-1,537934838,776470500,245482480,346237578,-1,610350466,565964304,-1,-1,315143985,898872333,-1,466774476,661640770,231462370,83156846,857910487,419863510,836644760,-1,429057617,-1,8368599,-1,-1,845466352,653709345,-1,-1,-1,723196243,-1,622275782,8043904,-1,493163844,357617341,78577187,-1,392497290,26216002,-1,157363969,286627267,-1,499165411,-1,160761808,789264381,230830138,727585127,191558103,126962930,10091142,324666407,94910257,-1,858629931,817376920,372626515,788148817,130632484,2303096,-1,-1,842718160,13566181,884753537,-1,761221789,-1,-1,-1,645137559,119256295,966876032,23915256,-1,218738789,583494193,-1,657620403,899659216,648676489,829472460,483144695,627468271,740517553,571005060,16353702,-1,26754349,541949381,-1,-1,806743384,646508836,145782414,245998199,597445622,373790579,456505143,928024058,-1,735081920,638368417,-1,132735068,-1,828618473,197658282,926032271,647724243,911280890,-1,-1,-1,182569568,-1,768207490,432563052,-1,22436909,672785436,974574759,463980519,383908996,785677393,604272248,33840024,388414279,87452592,654191873,48081016,629975036,67518268,211339975,290003548,646232166,68701888,262730369,906167690,971785990,733819757,-1,610417370,-1,790424568,728958997,-1,-1,533479154,-1,803729533,570143433,150074322,370226789,-1,16853221,560782853,-1,965352893,303295307,188369708,-1,663531055,176945300,761571263,595837745,-1,15565963,80785373,491892326,-1,-1,481217141,361446952,966329102,687548098,96191346,761949718,965321742,716333042,763282826,48572203,828476157,-1,838073448,361594185,634051594,403378653,806629505,926996826,184556704,-1,476144083,107801828,136503479,157498654,-1,786752994,770631731,453281935,459701228,791843450,-1,519665354,-1,-1,135822068,-1,-1,210121099,44353014,698222576,31697709,887960839,469374430,962529515,677548050,589608628,274040502,-1,-1,-1,7737655,857979054,517953589,372873770,382508476,317803858,756737095,372614462,70936948,-1,241221981,284875483,-1,-1,-1,7682237,942537291,130604034,165244143,-1,575951025,934577950,242895857,471271771,-1,-1,507098274,-1,712081847,-1,175057816,-1,-1,708459835,369668678,-1,375679863,660270151,215207529,890760152,20114305,412143667,43305339,892827012,566922682,305610717,-1,-1,891023896,862797396,-1,-1,572162253,406391766,-1,-1,481109402,897569324,952064535,271496954,-1,-1,768977622,-1,76522848,105756356,325889517,-1,951548152,252077881,694779570,29499915,724979283,53266049,-1,160516965,701755687,949217962,-1,-1,856303645,538284576,984243526,67456864,-1,907099486,-1,11485843,127544781,-1,202140713,646335160,-1,528192361,-1,130373196,-1,765841772,996124971,-1,-1,86890264,88209287,-1,267052454,559251896,206757180,412270331,429991311,164131338,309689705,710529087,578541828,769678630,3447198,838415891,612381859,-1,198822311,286040912,538257861,864486496,487577689,356678418,947806531,-1,711961474,216062114,102480222,116561805,776377536,495654159,489411713,254339072,944064582,-1,214007201,401594134,911340763,322740394,208185561,249315381,-1,52826892,235967347,433308251,-1,963415598,560469221,178820601,27133245,-1,142062300,516523877,-1,-1,885525456,876255130,-1,562142151,-1,-1,909412573,375888197,-1,-1,634249536,980336805,847954308,508627969,828013015,97961490,-1,-1,111319898,880387016,604216725,401773449,559919179,362902361,-1,142392541,505542923,665702081,539617036,747203199,-1,88186495,434359393,21471921,-1,793794376,757377661,732523849,233757181,-1,763797431,768885852,-1,-1,943682793,620009646,373988660,477201320,-1,522126953,533667039,-1,92782399,273563120,-1,27346286,-1,418700785,-1,-1,337197694,2527165,-1,517832767,184117064,831237797,152665286,277169465,914210560,770928287,495584632,615564194,713473235,82608523,427583904,647341259,636143453,351140117,643279525,403665686,46634091,37899800,631280255,356143396,664979271,487488100,846900301,-1,869005454,824842969,941319742,28417813,209198853,985650154,-1,-1,289514591,-1,-1,-1,358352201,675904984,-1,436282943,-1,433355502,264758278,-1,421179665,-1,97176292,560626627,145777788,409502533,61480627,-1,-1,794170068,765870381,106174024,863131434,231566820,853586099,532872757,-1,488657225,249184602,763751090,616630834,947507086,-1,874828757,953328033,971895980,429111042,-1,280751440,608631975,897119391,699789621,438121270,-1,-1,834467354,965441225,-1,253942127,-1,329467200,925126709,-1,662918133,358975085,-1,504488406,715067263,-1,883715991,947765167,-1,-1,893761607,721952157,-1,-1,911594439,339969128,305358831,-1,201007535,86910707,76366790,-1,589166206,-1,253578700,-1,-1,128544116,756516939,-1,794735699,232643055,504461863,225564910,244158536,-1,-1,-1,-1,-1,69209812,456931112,-1,85447733,480967923,238108452,602113413,672933398,501014651,-1,687792994,-1,48348844,896390449,-1,-1,388750433,621933791,609962308,-1,518352536,962890453,-1,-1,207471998,535270204,933362454,162103953,623457050,537019962,474480540,-1,-1,916192725,465719047,-1,510002512,52285681,541436811,631845035,711254808,617984703,-1,851322680,879789608,600999765,245020123,764349899,-1,-1,-1,796149979,426395670,151795726,280198738,686843698,42306913,666814747,263948023,9519391,-1,490802646,136701699,142796649,879960022,986309289,377005096,-1,-1,-1,-1,428295880,266167296,-1,855330213,-1,875440400,484795831,-1,402129043,602063500,137878053,467117346,833648670,865115999,-1,319166683,974492051,963700190,718715834,-1,-1,998408056,-1,961576537,-1,-1,339056201,756882618,-1,-1,-1,237407267,460622502,341305947,759341649,-1,168283816,-1,464607460,960265788,927452093,686297136,419596623,532081743,552226136,420955953,130440372,525081382,600228314,228901991,-1,395067027,-1,-1,800747164,937250266,-1,342534017,361975903,939503341,654844884,894254154,-1,-1,152394824,9190316,-1,-1,-1,-1,394257855,791137688,117689328,3624331,461856372,322080130,75185887,568443555,472937144,-1,-1,24685842,578229238,243671530,-1,78723186,-1,186667906,-1,896408875,-1,133531721,-1,971178872,881668547,117446311,447405635,549730264,538517837,460788406,-1,64858321,-1,617804905,176734867,-1,452577227,119247629,-1,707072956,-1,63512718,635174809,-1,730620220,894605053,446465511,170024130,856805683,7288622,-1,-1,803434859,336912946,564957476,243245339,138784253,664413295,-1,565425259,896728467,60034176,-1,-1,333192988,-1,576375566,433826154,-1,777383559,922268509,735646648,677641094,107642115,296988615,589525795,773832537,727078020,230316179,547129609,903519435,458324745,558075127,426559526,207796484,786899288,371165469,929075972,482931577,816756449,602247522,931081493,724249823,476178599,261092069,-1,-1,676999624,188578593,236273550,563302873,-1,-1,356857010,-1,-1,-1,772208179,-1,870252541,373702063,865655546,-1,459944984,918358270,30993427,841688782,818945929,-1,906050461,251499605,995063478,-1,-1,719204230,815250021,-1,385332588,-1,908111602,475859588,225092710,156906022,-1,292962953,276638587,592832214,768309516,130101638,769996780,-1,933141098,523671616,898664519,-1,241939902,7812393,809409714,154191232,653933274,46736035,875665041,951243018,336898181,-1,71832556,885635243,244786517,-1,346122824,720757047,-1,-1,-1,39256114,-1,-1,-1,948967151,-1,-1,963436615,907782079,123118350,980059373,491143476,-1,147704500,674240434,-1,167258968,789830504,-1,786150375,-1,-1,659295029,321574167,815582512,444784794,171117729,-1,292819030,-1,-1,852058490,668865708,-1,774689492,-1,-1,-1,120339334,592244350,451783963,-1,981392752,-1,374962316,-1,407933075,279116883,981314753,593690101,451342681,877373285,909851544,647099461,636451160,588196740,-1,739740659,735269751,302548557,140401856,456195612,585024088,427229025,-1,-1,-1,484329617,728197647,553894036,153165737,505857758,546154212,827753209,871607470,123642924,485951775,-1,472098101,677547566,145603808,116578917,289759504,-1,-1,177091336,642346766,51174627,450844471,-1,-1,930756595,776432732,136857951,-1,77994040,70829640,616748624,617265223,606678029,-1,-1,-1,385078244,506569853,-1,476393615,485906587,34049787,254534457,527119042,13541645,782738503,-1,880632315,823015793,-1,-1,429746923,-1,-1,-1,-1,229075816,213150409,975082662,883661405,-1,465382298,618408432,414513074,-1,880511778,224707142,309303462,-1,298559927,750643531,169177218,512409629,818016093,-1,-1,330159869,134640008,596212799,255956968,448897379,-1,920352291,877340125,766555073,79380611,-1,711225813,755402455,34509076,415253389,833505002,-1,759053468,431913729,866364453,160760223,-1,167230080,805245006,141465733,712848087,-1,226805635,572003644,266243236,587329121,324746944,-1,-1,535188882,-1,201329859,-1,-1,219825033,633842854,582804008,568109906,-1,-1,-1,571524785,582783926,-1,-1,-1,970141576,786560485,762244398,476482981,415768554,251029726,815148159,654247337,522552595,-1,787484796,-1,189807457,-1,138746443,235805736,565049794,-1,567386018,-1,410976146,667525441,920306048,612253224,-1,58353199,706959557,-1,-1,-1,152902380,423220704,549606299,-1,25555727,-1,-1,331242332,-1,380956966,242301006,229950956,955857326,251957616,158288763,241209214,902288425,68879255,-1,56688300,193847230,459116482,610598614,-1,-1,-1,596314522,52158696,347597045,731974043,270468609,698601039,326514108,115297127,-1,817363246,-1,463682777,737716625,-1,-1,12400214,-1,248797427,859962159,145891544,883261255,816772415,-1,313949818,461106874,-1,345995848,222874850,41773500,-1,-1,938307340,509166256,42969630,482531300,49132652,-1,928662782,14011618,-1,-1,941572423,-1,871032466,-1,758735238,-1,428973161,-1,505948028,215194788,612705307,-1,743333299,682842654,670428792,4698,-1,464932127,-1,600299186,474587303,75450878,948658830,515033920,982680969,954333177,281828532,386145160,852829858,36658391,607409742,-1,-1,432562654,540797752,44035893,-1,724602049,-1,160804903,-1,357806071,357365428,407564951,328655871,153410692,611523031,294454801,327889124,-1,539383972,-1,840624302,572894245,762749358,627658634,879670618,318176197,166457522,491864726,-1,-1,820780099,-1,983957807,471683455,-1,837372347,454781752,244134963,104518183,277161189,539390525,683697990,312172245,-1,-1,328397795,-1,842643909,511772473,354960264,594083342,358118349,112253755,-1,27266846,-1,872304907,116561811,922525761,978197321,505343184,545737374,166221159,-1,-1,775324972,94131281,511355364,727203146,970873327,457102867,444301702,595344044,688792034,282149811,893648079,-1,960250179,-1,780362662,-1,887047163,558732904,572318095,748059214,775215374,679760404,-1,-1,710679696,839813115,126116219,70399651,64566255,441122763,381622620,-1,949903946,748551726,-1,-1,589119020,-1,109703904,381050031,397546520,159748282,845169524,815705229,-1,639708819,-1,970096620,774672639,907872249,-1,732287100,-1,960798434,563701914,100720495,-1,351708530,754337744,-1,420218926,686953406,971762347,910121534,517480508,-1,144711114,-1,-1,-1,293229158,-1,-1,986031037,813511183,39849505,190370377,642847445,501595145,-1,-1,993839714,-1,785463516,-1,106047239,879702441,759856721,989315418,53651173,345200484,105849765,553659412,-1,984984986,985494692,466314031,93832096,395360389,-1,-1,277470572,275351986,47598473,667784909,-1,124505912,244185557,-1,457841247,-1,685410175,-1,-1,-1,82233764,328855175,-1,-1,-1,312866888,-1,592675261,-1,252314455,609547967,-1,71593689,220342626,827048056,984736412,889111158,-1,108520212,880060474,536910483,-1,782736506,988406921,529652490,941390054,489913363,387633792,619755640,609673734,953959599,-1,976545230,695991146,866072864,149472379,-1,503500131,752714411,398877359,40544230,647053426,336644362,64211493,447586673,-1,-1,-1,737623786,976089140,684769963,843613354,531808363,309324689,262164856,712041609,491355134,314021837,274022053,518805660,514138758,747855834,-1,895453166,475607969,392311548,679757989,761184060,106161181,626975309,350659495,681834977,-1,-1,456075703,200249665,989788211,-1,-1,-1,-1,318140753,261979103,407037014,842521248,540254353,-1,97376710,291182981,405100903,359836193,548447338,-1,552773230,-1,-1,-1,620900678,711759971,822503154,514847382,58952539,901842954,434635203,486017477,988634012,-1,455169005,-1,-1,-1,-1,359880003,582958821,291189791,-1,-1,127593711,-1,-1,-1,-1,201325609,310203631,148903990,-1,521631655,305765652,-1,495345051,-1,316807613,-1,-1,522227924,491255799,-1,-1,257917538,8519649,859025359,393975647,125787904,629137533,77307662,441500579,689756308,309585113,565140165,777032641,-1,841738646,-1,614801322,427034997,-1,758887145,388025524,134770602,427921301,720135371,705812514,275811796,315095661,39726229,721316447,-1,-1,-1,655586490,866701717,599108444,-1,184835526,312491058,185652213,-1,484131902,406898594,-1,235082359,-1,712897247,-1,-1,140406731,-1,761991327,-1,-1,-1,-1,-1,-1,-1,585746215,440665163,358494912,230778088,-1,639337434,916862761,885276849,748710084,769943611,-1,-1,-1,-1,879324778,21442191,626324608,421784128,-1,172896763,-1,472840488,-1,57780903,250320674,-1,752544820,576297826,245649429,61559530,-1,559980115,238011525,508706780,-1,564623389,492491005,420237618,47679482,598948413,-1,673338733,-1,202006781,153229173,803599431,-1,-1,-1,241163388,571262500,683156709,-1,-1,57530871,951383791,80164820,925995880,712729347,743076596,823618853,247201708,814965553,-1,112904881,-1,427162465,-1,-1,199990075,-1,977042847,-1,-1,-1,785597502,-1,488868830,821243755,-1,-1,-1,6335346,-1,592767749,759735749,669354196,872591619,185638702,106592740,193316200,529575624,278675173,519781936,-1,125683949,-1,573176478,739464155,861706925,-1,-1,330195213,-1,-1,521550058,180438149,335701109,520468129,40013603,-1,385132265,680442760,881732332,-1,832551042,578855466,623038334,538456024,-1,494356311,180264034,951665224,5953224,107464528,232559290,633420896,66485291,583720690,604990024,358644373,309436483,905943790,564253715,175434541,975892747,35423064,-1,125159829,563792288,546575743,438413407,361563715,114356686,104771802,831026012,543595163,827600241,-1,489286752,-1,-1,314209372,-1,28965979,-1,-1,817961879,283422294,644451053,13359585,-1,514191724,338382828,498830678,-1,322359592,788113009,568146906,331919741,-1,-1,62232629,135235870,363725439,744341963,-1,938845283,-1,43231041,746769845,766168818,590870018,268424334,821099807,970207786,490144429,511931180,-1,-1,-1,787060841,256061503,116417649,921505830,200070931,123025683,-1,809447522,-1,377168476,-1,117478534,572307725,-1,512597749,912417196,-1,-1,-1,934015773,659833138,-1,-1,548003417,-1,171189225,854646648,755731392,-1,-1,686688931,838749091,-1,955420075,395005742,342874344,39708513,964791747,637131589,-1,882339420,-1,-1,400016978,101733646,826106515,894551642,-1,-1,236798458,-1,380414395,202377606,647872334,395157525,-1,657765846,110074158,162314484,747182743,758856005,943945011,733045243,-1,-1,-1,819693206,762619242,-1,92900829,799461975,-1,595686035,-1,773602063,374011768,835479892,725562597,-1,163702504,268747929,894924974,-1,55076083,101196492,812704380,-1,813400839,-1,376481171,629207121,-1,614437807,964722540,-1,809158414,94366074,-1,606005055,405208789,-1,135075349,-1,515081357,561327134,-1,-1,292998077,-1,232842754,861967007,889178941,339246321,-1,19376764,-1,779601245,144909252,-1,-1,957148007,-1,950393815,794112345,409750004,844376436,532899125,-1,546344754,360081616,632694642,366008019,822297870,891025013,314084205,95703634,596233879,-1,-1,365798802,163464505,522424846,131900583,185749470,-1,89695297,434956235,348555878,814673335,176607348,899267326,624655199,325571943,669136775,596241365,-1,701499138,-1,-1,-1,729493693,241168274,385074312,730163040,621801586,743076318,552298984,823863232,-1,11251323,734653972,-1,816647049,-1,-1,-1,668076477,46780206,298966717,321022259,264638319,267809259,127367264,216133663,144931324,411845996,740864113,-1,293230429,487163989,250986317,882105323,-1,443616752,666074782,399310919,706746977,439122701,21096421,867177679,-1,-1,-1,905066958,-1,943073227,953989059,-1,296118647,673561556,503583731,727958701,-1,45294953,579487580,782786956,-1,934837474,717979155,877028018,87495525,-1,995991158,519376491,360630038,108235194,70273805,886555531,-1,-1,109305992,123204971,19546231,-1,528634852,822143395,114626054,915926792,-1,130400081,765081984,-1,941328196,-1,807986530,305373053,-1,-1,-1,-1,735518700,-1,592708714,429278333,865036980,300896017,525027808,716885527,576227603,490051052,320638397,270907746,840517486,-1,523402763,272421293,349094407,255507310,-1,815426279,307399699,601805428,133758010,748370601,-1,57214181,-1,-1,365684153,825557170,980587977,770411886,265324888,403621539,105898000,-1,-1,215448678,622074424,-1,227819397,511723407,546847772,692141579,446368947,949200652,720368098,344287115,-1,456114603,649696182,441705896,55644946,55528520,307610562,256209261,-1,768614241,310170961,802152635,168149007,288949484,498228302,592335169,216002379,514942378,-1,944067499,531467284,-1,-1,936769068,-1,-1,118775501,495880439,-1,846329013,-1,974409828,689070770,-1,-1,820631789,133588952,418939214,-1,279173898,517970487,-1,918483356,-1,-1,-1,979546328,782611341,-1,-1,-1,927222327,976608871,796642252,640760882,-1,230751593,704443022,352248804,687145806,598837306,555168626,-1,809428311,660667570,-1,989508617,578184960,215860955,-1,15746381,602495338,582463277,-1,-1,68145124,42534007,527194090,758311799,-1,-1,743217090,878349527,-1,981179014,-1,-1,280718037,59176097,-1,-1,342811806,515125786,75428669,968898578,793944850,362510354,180470890,299550759,4956728,921158251,94794178,-1,178823633,-1,-1,-1,-1,475399287,-1,240315458,-1,-1,610851950,954855193,414937674,-1,-1,-1,-1,852117777,116128344,283288434,-1,932876689,-1,-1,572131572,882821125,454890160,461212336,-1,900996756,-1,-1,-1,407892882,-1,392331505,354660558,-1,648778030,-1,-1,208520834,528690164,861579058,-1,-1,-1,973574489,550771260,653391207,151251356,334405514,84966858,-1,969267998,-1,99549084,714246990,-1,908888389,124431130,387609207,67789624,-1,326420423,-1,729269425,827068698,589089975,359492099,645339304,553914732,197367531,686611346,523648169,236844265,845630207,-1,-1,601710720,-1,173091209,488863512,5025814,939922176,874670507,78173896,-1,539241276,912212510,946135600,873835924,549063684,65701564,573734914,832474073,234891731,403692829,-1,314128600,809728368,-1,-1,852165760,-1,221191368,119103340,586100317,-1,-1,452475970,-1,649692128,553520230,373207443,-1,910977350,178642542,266892157,985280042,654823073,684580106,122008670,-1,-1,-1,-1,692909084,-1,525123591,-1,506293606,124853609,518313656,696699058,377674971,575270139,686502911,495495979,130404031,292444761,-1,698657790,394374489,145743356,-1,902289571,-1,333275276,938272224,-1,-1,32250263,-1,-1,421258186,-1,496209080,-1,207272862,540340364,-1,635051129,293481372,-1,757828827,232572188,-1,-1,53697383,-1,524955782,-1,495542371,644491555,929069434,943636844,877234874,499951028,336472907,-1,734026158,-1,733943683,-1,449026329,-1,-1,-1,343920073,-1,321193592,-1,192027592,869887988,567368982,-1,212184345,-1,243246698,841224783,902106763,379830455,-1,-1,448184461,-1,705754401,426010326,319480716,841831832,-1,-1,-1,86348542,754609158,157737135,593995066,-1,875255170,898670942,678972353,237039822,-1,-1,190386845,-1,178804138,431782132,-1,271867445,903733320,-1,202107667,455851315,814278101,685857700,70401299,363831808,306201825,-1,748085403,134603273,588445224,-1,827652175,641962676,876283121,728050382,250593578,56149167,631437694,-1,523829811,332756657,911003355,-1,212790682,911669360,-1,-1,-1,981786078,424027536,391824017,-1,-1,748050855,498196192,143917915,650824584,974738765,-1,797274017,490203438,391576229,-1,-1,524350720,662462631,373832647,-1,-1,163616130,821925757,-1,452490884,-1,902103104,419093209,487911955,957492627,475908349,307870082,463585493,153656966,241758161,433762284,872364611,823637034,959666827,401788448,636814,-1,-1,-1,46683087,161306407,-1,544707375,681656540,-1,-1,-1,-1,334060071,823560350,489008967,415365779,-1,726690124,669044555,-1,611031496,179607681,457216550,-1,-1,35594287,457409523,-1,783896677,69876892,891271059,-1,312167242,795427539,391200645,958368071,247992826,-1,-1,345667983,994351059,329826790,267695159,859731363,761813499,785694495,650352967,-1,843353719,139702305,-1,97120725,540748595,558032833,-1,843354528,153174242,30022793,597709097,531401863,835743777,186528160,654778845,412056455,957951741,643882028,850358315,745493083,-1,683876645,117082422,296343974,343436494,-1,952549153,682303570,-1,986636382,970226633,-1,-1,-1,76902708,952060984,-1,883796153,-1,-1,-1,277567704,30570856,-1,-1,182564721,-1,475472543,744815856,55976429,-1,219457882,-1,263704256,-1,-1,694295690,631353117,114690163,-1,-1,763933189,294935098,231147495,829150147,188886159,637440179,-1,981973793,810703003,-1,36928013,93289434,-1,57688431,45684285,309315411,-1,-1,524569742,786783587,-1,-1,-1,617924023,947757396,-1,-1,481278742,516444571,-1,596087230,742314923,454188395,263304234,468936880,178864386,239365498,-1,907147731,889045947,671465730,263112453,-1,647075798,-1,-1,-1,137423053,636714258,-1,113197030,52602566,517724533,601325338,-1,-1,100004828,119751151,888864229,782677103,449758532,415709274,-1,871765889,557426017,935570574,486341432,-1,-1,937435270,413688748,782990500,521088142,-1,-1,-1,872559917,205980038,-1,-1,-1,870681113,-1,735216159,521070724,718035173,608931301,-1,454771817,430444437,-1,405275261,797544080,-1,-1,309242615,707212627,316775969,205676406,505713180,810656677,265528272,988308204,246065960,335646,-1,-1,-1,290133617,558777994,405016771,331410281,933175379,377542410,780731854,874313180,784004733,509942773,102122367,66983121,-1,760708556,-1,-1,-1,-1,695732330,263456180,105604368,570295596,172740035,-1,885556618,28367384,815021316,52112882,588784122,237631328,974614368,325471437,825745735,345417691,685071436,620294980,-1,807256214,815007904,311715627,-1,-1,-1,269448009,317933815,491945171,826141256,623740845,982200531,703953027,-1,207601429,-1,725904140,-1,986395164,607120240,695277036,-1,-1,-1,-1,-1,566720825,944605009,-1,418432221,789432701,-1,368463392,189988014,-1,531387734,707766534,-1,693143419,112529901,-1,880927689,936981907,553937113,554743548,403282339,954647744,863756211,581133659,381578364,470092290,14371025,872644336,755738172,-1,527602282,625784574,-1,225315174,-1,357369538,58450880,-1,319818641,-1,6047258,305688586,275246665,702112823,766276271,118432284,508102090,946119722,490964831,90593901,-1,449010622,950595911,822814709,137406685,656370186,723359796,-1,538674722,13533091,882369819,-1,998677523,219761548,384518766,-1,918208010,666761633,164867710,-1,-1,572624219,752653094,-1,580744147,584513026,242317040,337951053,831209807,196432914,928808874,-1,653163781,460481964,-1,653346286,924140788,-1,263744780,207116172,870215208,466053406,-1,764140114,834175060,-1,225905215,143361288,-1,218017411,489692543,-1,-1,256900164,818054229,-1,956143017,-1,401804166,-1,483499390,995021382,724927024,909056138,-1,547705774,-1,139841477,-1,785262847,330964107,598460339,537536903,391396810,375098303,15354788,535849877,55412765,-1,667601603,131044533,13264182,406460057,-1,-1,759347309,398846100,431736601,254530523,178658741,-1,307648442,525621517,345681003,-1,960618350,518728769,378934545,-1,127779047,116291996,926481965,-1,635816385,890084755,184975869,883026594,-1,-1,607344034,47863644,-1,746271235,-1,-1,503888591,904604166,113243567,896457161,600050939,354670315,-1,-1,590350092,-1,773145589,614003604,719128198,-1,-1,763384820,5898687,788372345,579576675,779402687,-1,376535202,-1,762674077,-1,360164790,-1,126256497,49913322,-1,-1,180630179,-1,-1,641006376,-1,388382979,336214304,568174445,307565440,-1,-1,-1,379371692,855228777,907707986,-1,54779553,849102651,540192226,-1,826800047,939456808,795649346,338759765,-1,-1,888998623,-1,22693085,-1,791359810,-1,-1,-1,459835593,-1,543837346,707615138,75867635,-1,144388536,708538090,390261766,425133348,138605541,659133641,689061240,804867232,720833993,-1,390071565,931963342,790423320,669625025,662623857,221073658,643608108,349211801,-1,-1,-1,609085143,741934563,-1,723846738,385940546,207035360,241570720,160853186,149086928,-1,-1,766053861,442279263,150918877,724512528,737923039,-1,549080577,-1,611864145,-1,420507579,133597933,-1,892273775,766073812,905444817,-1,536130983,-1,774328108,732589174,741559733,-1,628401508,-1,861722902,-1,-1,724787908,-1,401759860,882175727,467891995,418133420,723686620,-1,462202765,456207058,627554790,790818195,-1,585850379,-1,-1,530030342,131777411,942273236,4304983,-1,581053940,587686851,383230129,354894892,216824344,340445831,-1,783248218,-1,967004312,-1,712223504,531731463,14993677,-1,549023955,112489785,931952630,498220459,-1,498116010,333544574,670780095,-1,-1,153992409,-1,-1,676857122,465615460,-1,-1,756263018,769145739,-1,940972118,272793824,232205484,-1,4549785,527573747,570885255,-1,367446415,541667620,184842204,-1,845944226,520955478,645594912,175209865,-1,286295295,-1,348238628,622484223,-1,249000765,223610063,-1,-1,319440005,197154560,286511270,299053993,832707809,981644271,535780639,137621984,638385268,128205475,31015942,-1,-1,171410696,343781103,380455388,62732499,-1,997208540,465565412,259174567,672921315,964795552,-1,87354467,-1,847266303,506794559,643631686,353342778,-1,-1,-1,-1,303606289,838385741,832820520,-1,44429415,-1,-1,494052620,213462196,752484228,877341202,249084144,-1,233360211,411778194,113714931,711652878,-1,806136266,998816112,-1,751000561,889521333,44209719,209988980,-1,647046725,-1,-1,967668802,-1,772831243,-1,727005169,624566213,-1,-1,511224101,653273250,11074776,606005250,712785079,356726828,852997894,116400566,805485955,692704699,167668229,135322069,51358501,-1,-1,711572084,-1,-1,-1,212185972,-1,-1,-1,145785185,558155053,180942964,300998949,830718963,760600636,167507919,245931497,-1,675367960,899799361,246382437,196920708,165904986,388367204,-1,-1,576960512,205489052,21005244,128445471,327591472,-1,222966858,883009859,337738687,-1,-1,383849357,879627895,403634696,-1,20888536,182965630,997718385,237530024,967797577,995094162,-1,-1,522860327,991910956,64845824,441934469,-1,668017570,622869049,-1,253879624,-1,454143678,977121441,296153443,495118738,975273230,-1,417501922,137167537,-1,218745384,975932080,968897901,604735860,133569868,570743647,650238870,865091480,67380730,252010427,901025294,-1,817376093,972254155,800834193,-1,-1,250183394,599738460,845790280,361162743,308449825,-1,-1,637375908,28088798,-1,813732969,862380811,532457207,760078469,-1,-1,135325599,-1,476430448,951630096,-1,-1,-1,-1,-1,-1,198159426,-1,-1,406185017,323721197,546346631,526247078,-1,225214666,465709766,73813626,757462069,-1,-1,702779972,563578934,-1,-1,441238657,232916614,-1,478436150,-1,692524292,840053745,-1,142674779,914088519,367414420,-1,847849673,283574869,340376082,708944106,-1,-1,354332314,923120786,-1,-1,833397955,-1,-1,-1,346621384,-1,906602500,863585041,817527573,-1,636957211,-1,-1,-1,929535725,-1,419214470,-1,859581671,83612412,367513411,-1,623587293,989396023,-1,366510193,164617777,754843099,694931818,776386341,584154062,-1,731095555,-1,923543752,-1,-1,334246897,-1,458229122,850681979,555234910,-1,64399903,849885023,561575676,891845993,-1,305431134,78877977,152011828,646997263,256558636,541313738,406503601,-1,-1,-1,874127739,310310975,348288116,838163219,136935950,45482458,300863189,157315445,856698463,658939196,-1,622111551,381428497,769789341,8369006,-1,468182937,-1,-1,580063753,910247366,616735507,684277716,399464990,-1,64921619,256599138,16213956,691474778,-1,-1,47071702,421008488,-1,515165233,89618444,396568705,10390392,-1,382522428,536231817,143921225,855756886,917669871,-1,-1,595997948,775766932,234811743,858451386,105862349,938455460,817755853,-1,-1,-1,306133252,837663414,552125897,223696196,-1,547620656,943437503,689647823,927222531,638935820,813339428,637349775,540890634,862551019,832303110,303251605,602039513,559930598,885182004,765482194,642746415,696817971,338906144,898469328,564300824,440501742,235133069,766642849,4485148,17909568,583323853,102312710,68048377,902829465,-1,371104487,295730223,608789744,48560777,295344127,-1,246327066,712544709,295396580,15057509,720487858,225756163,-1,427304503,-1,382369906,871559202,954499734,-1,459759775,442200737,-1,-1,917828607,103465176,-1,414633804,492909822,419568679,979787531,398255574,803920760,-1,218172330,-1,-1,884781154,947408170,-1,589549882,123978932,-1,124391997,394995747,562240554,454754850,-1,848275920,-1,332447835,687368574,420627704,112005084,646683082,129249640,-1,-1,-1,133206641,975689272,434807262,924289627,281506789,433811835,444698829,530296067,-1,-1,-1,931416946,498945179,787515460,306894900,-1,828359560,673583246,217088949,-1,-1,-1,600280195,-1,600907224,623361514,174130662,858059277,95645517,-1,74873571,238335165,-1,792703723,75516721,-1,-1,749273877,13337372,-1,331006511,163173554,-1,164064432,568011975,280175848,-1,884617001,600886969,973764232,926670203,165148794,12149836,67491619,441532678,899588159,881446200,283136756,440438789,651784014,-1,322311643,432203453,269456036,554766113,522787759,972222008,889098940,-1,767178599,-1,393525569,933302361,487018226,891267785,-1,763477905,952638812,-1,714260448,70246024,-1,511607666,422135009,172308845,60862633,-1,644555573,-1,-1,481375581,468608020,435724248,680261537,952324465,568508431,775324635,808459350,945477978,-1,315279050,-1,-1,44290383,367133243,538423714,23278031,-1,755416914,491237319,904439581,733354967,847054775,394153264,140140486,-1,-1,-1,680963922,-1,591361589,362312422,58519905,467920178,829249484,-1,-1,-1,412504918,323717836,638581845,830130520,261803940,-1,278702977,-1,-1,557508699,701038994,717140062,376931162,-1,-1,200320027,635026961,942456222,424631186,690296343,82752655,-1,-1,657974850,-1,317045301,-1,-1,-1,842882805,328979489,496287953,-1,247714055,989060550,848017287,526453607,533688203,928561177,550903220,-1,-1,-1,207310634,971779585,-1,875836321,448230447,723268266,303853719,689354436,-1,339782437,617254843,-1,784392862,-1,575412144,401675658,286904592,255693757,387101309,924260940,414401158,-1,157540566,575848527,-1,568363764,312827895,-1,460731335,559383165,771597349,473671991,-1,21811304,-1,-1,247833160,151052633,106644897,914002038,995656982,-1,167427648,105106218,175738927,177209599,407491775,795318683,149061332,132624937,403742965,-1,180829521,419146546,-1,187817455,803154461,-1,-1,97458596,228928805,-1,-1,690426244,-1,912222868,-1,858710732,-1,595756009,882662384,71339624,126506715,474670508,939832501,-1,-1,-1,369525814,365265501,858504821,-1,435676963,25181605,819537070,-1,954721026,107870209,457240465,916604310,-1,167345015,12279326,809676488,331497698,561792174,435132921,983448435,749553455,274546176,579003775,-1,-1,795864873,728607055,70087864,421936812,677211422,-1,479613466,755266859,421858797,253987821,105905777,781259494,850665286,-1,871434557,-1,-1,-1,-1,-1,393667689,-1,-1,742818670,167269634,735908840,181347788,-1,163025764,-1,-1,290507389,-1,-1,753579768,618452248,774371460,752445881,652571547,37508921,734344346,-1,383192730,-1,-1,148396221,405720974,840054200,-1,836858587,557370058,565190190,497365171,491444746,637980741,-1,-1,791040048,346794559,496897875,-1,-1,630571326,922467129,-1,-1,-1,482982222,667952527,75417338,108964578,595469798,-1,-1,937545128,698493319,611975548,-1,-1,-1,-1,-1,604073975,15211865,226272652,-1,-1,602838373,-1,892046537,616844020,954377283,128852530,779039798,369762983,729013132,-1,-1,814296574,686668459,908400149,-1,818352787,-1,223222777,-1,631037372,42966250,785736219,60115613,-1,165718054,429849741,623286024,809398437,958371228,-1,-1,626500909,381513188,477067279,797807206,699750056,943704151,-1,-1,863914535,375349985,-1,655266365,754106750,93727676,306587403,793413090,209854808,607564304,203394548,-1,756810540,850053373,650536556,503689389,-1,52404795,215710011,668906565,518427592,-1,-1,304925828,46358070,14404072,373360130,415308599,-1,-1,-1,861021384,315396393,681440800,-1,-1,598476544,170098936,-1,-1,938467860,458129506,86714655,-1,675041841,895767053,755191398,-1,921792972,-1,124114134,854134873,232229350,903736021,-1,740378995,-1,-1,857806143,-1,-1,-1,945061383,780525296,811173535,-1,-1,1191403,179012677,215199192,819351734,705563019,111736702,780908862,317423543,-1,-1,-1,373503090,908444323,-1,357531194,835881226,545584438,736637760,226491690,796946319,41385043,372796894,-1,-1,65159179,108038729,99711877,-1,277867760,368655802,300823567,-1,-1,312386823,361118482,754522711,-1,-1,704479900,579414318,733680845,-1,461017989,336147192,-1,-1,103469930,345665121,638143492,-1,-1,-1,417574482,190272972,900544302,444942704,84695681,818029345,-1,524225930,662883857,307268623,-1,820614277,-1,124618987,737236660,54597878,-1,-1,590250325,797554929,-1,133706376,-1,155405722,378474053,130158222,412975822,840617956,-1,896725428,-1,-1,794898894,-1,280634012,358110480,-1,-1,513624960,595532046,977604600,838293142,583889707,455016321,788652831,-1,780112933,-1,703770779,-1,758508829,980383330,805428465,199575221,554339531,425579298,164484798,487031583,409577148,21244455,141357615,128326174,808290843,-1,980023857,507174056,115193658,82376604,573651448,-1,-1,58988487,253252486,-1,338181879,596748060,984679886,-1,909115573,610944762,530639633,-1,328777703,760301918,346642749,39940357,395715119,685074276,884971449,993040605,766574891,626245411,-1,43908575,676996869,203561102,76498755,-1,505455442,169225625,826691772,839630899,-1,-1,-1,570625507,-1,576668320,276640375,175368772,-1,251987269,383529488,-1,462946254,945825915,475517356,931866914,390372066,112466945,-1,-1,964330309,42324047,438001553,-1,606885333,-1,458692470,-1,917241260,-1,690066414,895146160,522570752,937035319,976591129,-1,126247301,195888978,257303824,406980154,-1,315304422,476496008,562666412,987744038,490545496,-1,270105598,-1,912737828,-1,-1,-1,739686533,-1,-1,350371695,-1,639352050,-1,472821759,-1,-1,470643203,236387939,762051692,942042156,129660191,733507480,582422927,-1,809073217,359129012,864609040,364283478,115595742,498929907,817927900,-1,866931577,-1,8146172,880783520,920423048,38446865,-1,-1,67603265,203608411,745566725,392577732,608956839,479624769,341491355,134011313,798562299,-1,-1,51009323,677278508,-1,-1,69923966,965870338,947877913,-1,-1,606018742,-1,844180556,873196055,841746339,46612772,9957887,857181602,546406347,259730593,411232068,732257955,423415977,65265165,236555238,56906040,892800182,114835290,-1,195304560,201244255,968173190,779394344,-1,707503015,38304210,899853396,331080257,-1,126253776,-1,539405018,869579417,-1,74157756,512619846,807777989,253200921,82700052,-1,946916932,548103944,501348210,-1,12514361,567428616,848320433,208011315,-1,-1,83123183,-1,-1,753200441,670050523,631019266,938668738,592201431,-1,825211444,-1,81094768,855290359,905127863,257188776,560487076,-1,-1,291753509,633395488,171942610,-1,-1,40616512,-1,994747772,697619432,755835508,483510296,-1,-1,-1,981946839,318270543,-1,79522413,-1,-1,492127981,421369470,-1,901135546,609295209,774941043,604575052,-1,730127675,993707806,937768092,12191124,-1,257685222,58350805,52330626,527661518,72130467,-1,384853839,-1,946925715,-1,941900138,465016083,656873026,853679717,-1,253025265,7847091,-1,-1,-1,584798228,831866671,808835165,119251610,269106492,938042581,-1,-1,680695731,-1,-1,-1,331592096,931838469,938770562,769736082,15457714,-1,-1,-1,781986164,868970443,610776673,268829823,354410508,-1,921240215,257697416,-1,523555587,-1,563993140,-1,327950436,403843257,-1,795286557,-1,862528031,296722318,203970388,-1,298376871,864462487,239245832,630164036,-1,621381440,-1,51338015,206113336,282327974,-1,-1,841915082,324862869,-1,-1,294076772,571931009,973640877,59522564,-1,-1,-1,267690061,411577811,-1,432704013,818123346,394870436,22555518,170581434,-1,512707739,434933014,588609511,933216399,-1,629094031,606929512,-1,363512694,61798483,-1,-1,-1,-1,55982822,-1,-1,-1,-1,-1,8702572,587138852,-1,-1,784105709,-1,151730915,-1,386012104,-1,443810531,316084229,-1,506142418,488150748,838099587,437636493,290725818,-1,-1,596564020,154140284,-1,716858416,-1,838790238,-1,99991731,-1,-1,225501838,364299316,575762071,77656933,26446389,431776722,-1,757915324,441369321,831576884,-1,22475938,-1,852695179,541212110,941125792,578373740,454207466,408988192,432541514,968625561,320603129,-1,457299074,499853519,987335264,883803344,570253299,1362712,859779444,607978774,639249543,-1,790834314,69254589,654293878,815022413,102258658,991457942,-1,980411854,269818046,-1,-1,754742690,965825917,608349915,430782834,-1,447166465,-1,927524593,713980214,171038854,-1,957849190,620411995,772086230,464695865,158527813,703901768,957810000,357843056,369481309,440008453,-1,-1,120021767,811178927,-1,33787188,-1,259075515,-1,526315346,39707787,782092527,916105146,-1,991354675,-1,-1,795713491,582182027,359711894,286367701,923445764,681976533,282988324,694171411,-1,237164537,817616179,-1,278702356,739866501,584963795,511651220,822783788,877320242,145627687,-1,364664901,715893611,19050228,177290091,134949753,288783697,-1,105804159,-1,-1,835616694,265838702,351547471,-1,33388124,322960652,573862064,771843891,535838303,674852541,392899934,-1,-1,155525639,322525379,-1,190769461,85586902,72753936,247132424,749237002,842889676,198551546,787117241,967846727,349552360,272593247,383573047,410578022,382433547,-1,-1,267737391,201884068,-1,-1,-1,281245333,95691641,-1,-1,-1,713035432,566783764,393911328,987048809,485492918,239797667,-1,395609213,513408194,162754464,135471700,313199735,276301968,-1,896599201,103585098,877369734,-1,338437616,476857122,144994228,-1,258471896,-1,33245220,251184009,-1,825840093,472215135,386078788,-1,-1,651379598,120080650,556159798,-1,722168418,456128820,232166553,-1,-1,198891760,-1,363488894,621117242,-1,433886699,885190573,-1,956787357,638102281,759926261,666607115,333834827,575142717,-1,523826843,39188617,5666501,687506260,817073221,-1,27871216,-1,575025460,-1,126172795,211841576,33097766,317156416,-1,-1,623943835,42732409,591061830,-1,489332991,442007386,351683224,943366903,348896224,-1,263064305,928120877,-1,851592856,-1,-1,660792175,257993641,361511660,437849280,588380146,-1,953067257,48302908,-1,-1,192662797,91433826,-1,-1,-1,229734992,484400402,534268437,626545081,-1,-1,234489707,-1,871801521,204762386,483263359,876647164,633005802,709221357,-1,45316226,349588461,-1,-1,-1,-1,375366410,-1,-1,153927065,151643717,32558732,-1,-1,133714353,-1,-1,126367726,-1,645947972,25648605,-1,751254790,-1,-1,-1,897448200,25202487,815935564,452698638,-1,300946024,-1,782221930,-1,161387835,953439271,-1,-1,174323366,608460102,743497333,606228225,619087779,508150448,199375193,-1,71790971,-1,597505770,-1,80287586,573735340,-1,851482733,655663817,859975633,581684675,740583498,-1,288628953,-1,-1,472958674,441186465,-1,829480128,889599202,887783056,507353405,201202490,464226084,618406365,-1,-1,642293453,507022816,722103467,-1,561345134,-1,558850535,-1,175198171,154708557,-1,-1,593191879,129977759,-1,-1,685555510,-1,-1,51898642,-1,291620352,849665277,774080993,993219004,-1,225075832,991377076,-1,-1,-1,481233717,857500255,722123092,-1,996014394,972764339,542403668,199128703,-1,83990932,-1,500438172,321193917,17991419,533587409,-1,-1,-1,973130279,347028781,-1,-1,17262371,326177337,-1,871107637,685259593,-1,49043183,153416137,225556685,439344705,-1,608725085,-1,521770376,198504550,-1,623999551,937804143,-1,192906686,239509517,380813484,-1,-1,469125761,925361209,199459005,155210195,-1,298467682,-1,394586610,837857164,-1,742213153,449064150,-1,454447594,-1,136305870,806463010,653016833,709113579,-1,-1,930165688,763197231,-1,-1,648417366,423726212,507338934,-1,532388341,441976473,906148348,-1,37575550,659086305,-1,684540606,465688346,-1,758101969,271773396,794848788,541412034,415054038,-1,695934755,355257303,587228634,-1,-1,491356387,164158892,-1,-1,95958163,58851410,-1,154568181,762927862,-1,169783833,-1,-1,-1,-1,-1,726708249,-1,918664443,84965383,-1,532537567,564587892,-1,220302392,114080227,653314785,254960480,-1,45386104,-1,-1,137065974,54826701,-1,967415332,929552074,341687945,-1,443160299,91530347,92877852,241472667,-1,-1,976676750,-1,-1,659693013,997795952,893992458,-1,-1,103293250,986932344,-1,146264264,-1,-1,831433325,373790581,-1,117212927,26285517,-1,563194485,634538871,-1,-1,581693860,823943996,797511983,-1,149669405,38958049,371674385,581748615,325901712,631380580,342850859,56636384,934502870,-1,276194520,523004789,-1,950804952,-1,960394845,15022751,-1,-1,263935671,673776880,-1,661563308,842008492,9100063,31143636,879640839,984887199,271132460,-1,-1,438942609,-1,-1,83669598,674762598,789485974,273246281,61641387,330710271,789129111,119167867,-1,825380375,14218981,858418908,356757721,988602465,-1,304107075,926006340,-1,706204521,437080104,48061674,-1,-1,-1,490957271,-1,63455118,-1,-1,142950171,574766756,169038723,-1,403421236,-1,746787988,680768617,471824020,890811560,-1,242619845,800599065,701356569,912949124,-1,-1,-1,325247924,-1,384485856,-1,186777842,-1,133707163,98906779,951998486,670908097,284736448,262503225,983929966,415293691,296210360,290923946,939902782,936429140,-1,691724800,75207286,-1,-1,38278408,607307158,689026291,-1,537228658,386929132,732153210,644004318,360029412,17409985,-1,636334437,943319791,923599610,83018507,242591010,760040966,-1,564024750,577053972,-1,197446017,-1,866911973,851909785,83402212,-1,-1,-1,23578289,-1,725086817,-1,96833230,808821314,657423182,89993850,782045957,-1,616544810,-1,717992254,-1,-1,-1,371813367,-1,533398501,795333577,884966236,-1,-1,402037433,187938305,160900605,-1,314593862,-1,522526754,281687967,190560465,534313514,829734316,804149596,372612869,543728472,126704580,608826973,-1,-1,390168635,-1,253258504,651290796,931287347,420915425,-1,-1,-1,632537912,-1,691504782,-1,799606997,145919662,738596547,868079899,-1,785460653,320540999,969847305,-1,864430187,557270539,658672650,415798914,769264787,954872703,268046121,941690020,588359206,776011329,550049431,953218436,717812095,534206028,342813214,223977817,533374141,951852333,99960673,737959052,-1,514569747,-1,899591435,-1,446916683,105516904,808295246,-1,332984448,295198182,-1,800847884,-1,554961021,11414526,-1,627583288,23647811,235580607,-1,499936813,-1,244711450,163888112,-1,-1,149649278,377531804,220031210,12978124,256159865,595676340,897148832,-1,718027413,102536533,287109528,-1,314840416,941059170,986474840,-1,410434608,732050550,-1,215084745,-1,-1,344042703,938276937,109636639,891722784,660547259,-1,346647293,-1,446269860,-1,35083108,53099273,148947468,-1,413161402,91920860,-1,589430355,-1,997468339,125701364,299057275,38235805,-1,727481095,949613717,-1,166381001,717341699,524203864,-1,543741932,797528767,352017833,740312057,233149136,786957950,667848835,517943938,302487615,457628204,58559511,925555425,848729257,232291549,298864781,332119705,-1,796979219,578259053,-1,217427754,61133304,640906437,-1,867342548,425687608,812979616,-1,-1,240791378,711331859,-1,-1,141415000,517298249,108102008,-1,642039045,26695536,944787099,-1,223727973,696071147,458234202,284379792,545856312,-1,605158364,237176667,211755899,-1,349943549,-1,792650871,76783869,682089927,246632442,492572451,541365803,554134920,359327807,-1,705150556,-1,101417798,227946109,539314155,356617120,839255306,-1,8783869,-1,132894409,740092293,-1,651981228,499840219,47200930,251161441,389219501,622374959,737824023,493817496,60253464,654509703,-1,954771777,633453038,604045352,-1,259733258,-1,131973894,382083916,226914493,-1,91559233,588829106,521792216,-1,371479057,719983785,581508292,144903401,953494592,-1,-1,-1,157250149,-1,308525638,-1,239931619,-1,354155415,703222338,660930104,5195733,969302787,191325015,38443972,155001956,-1,-1,376837586,543251593,-1,-1,791771021,-1,-1,577093783,952854703,213830171,822370130,490860188,474750561,-1,92338138,683154870,65193541,34508560,998961031,355896547,-1,353063593,281985650,981196296,768026119,862603070,-1,108716107,756006666,46769708,62571894,598504402,-1,19042428,818182233,128115150,299812602,91868022,822723378,144086210,370748191,127584022,866736501,169730317,250113967,510189957,509615053,-1,-1,-1,209312422,110939216,493962243,444928719,481127317,-1,373791703,32015986,406041518,-1,-1,-1,877312397,625580976,-1,450914604,-1,525452322,971234409,412875893,78747921,52252403,-1,807408331,674756538,-1,-1,322443082,226502566,933682210,-1,390064770,697494556,334614432,72048109,870150658,494110236,765098624,-1,968402715,-1,-1,-1,298694215,667851113,195689468,736848392,949420282,779651623,388968493,-1,25619124,570042883,-1,357868677,-1,208249683,109694141,-1,-1,-1,-1,-1,864441716,72877054,-1,651341276,234016067,299424089,-1,369190581,233330666,816830079,697737591,181141910,649406325,176530323,662422921,-1,-1,-1,465733596,337095451,468311101,-1,295681631,-1,898071118,-1,163282515,756957089,-1,-1,619543606,396940733,588244492,-1,512502686,823418622,410560609,472397964,-1,798732326,-1,-1,667061343,253967073,300133801,-1,533451098,-1,117007555,907722812,462308121,423705811,475071515,250389274,265889833,-1,419924470,615217015,-1,192437914,-1,214122042,-1,741058697,510516529,659448950,-1,263200090,39135964,725225426,-1,-1,-1,912878714,493534750,675174120,-1,587529485,438934490,884377432,217196008,-1,276917990,616482140,142362848,-1,590015555,137789384,-1,-1,656053126,408880921,547742958,969197799,916294261,326377406,177782085,222059293,655704183,180795626,-1,66414138,687549616,659580211,359585913,225366632,829644334,561581887,60215926,553961176,100514649,800998608,315740471,138071635,322484605,-1,-1,245563631,-1,173520194,279572542,316784586,-1,461984358,452832595,295136582,454827870,998703282,626256124,959749669,362743610,-1,391692523,616474536,434756025,915000103,106244498,574724069,85810875,-1,-1,233464158,541591471,337923110,895096496,844083108,539254801,638315451,556164193,-1,928072663,424306159,358436881,268072283,72414761,944246162,-1,-1,-1,662804657,-1,914002582,-1,-1,-1,-1,118922014,661937187,-1,-1,-1,-1,630062809,651095843,-1,813304991,453849011,-1,703191997,849884122,409673428,390543560,557893793,903608871,-1,-1,634409529,815172944,567581020,539512055,760440351,-1,124948186,-1,735175295,128856289,774496736,-1,-1,359263775,-1,344392176,20003847,413012490,390624900,980425924,-1,-1,-1,-1,-1,548528467,355809763,968302517,129381696,-1,385000887,764145800,-1,96367522,-1,673707983,-1,549741277,726590681,554449552,184331371,581251278,570823582,296033526,517431036,99089484,-1,-1,921684695,683026806,-1,757764179,560223423,-1,303373979,-1,29492517,641658720,846062306,27468840,-1,105725743,30428610,883798356,392551611,121237116,-1,446991535,874175897,162452527,210527243,-1,513130179,-1,309249107,753703685,728252927,77444787,644614703,98799214,821261540,655617786,-1,340139079,-1,890252852,-1,568089045,512131660,-1,56222052,-1,356576643,521051028,-1,655153298,-1,691302353,718300753,930180770,-1,-1,357058562,784495066,-1,814181564,-1,-1,-1,-1,-1,468722832,439101954,473416308,550618605,764469355,-1,238029218,-1,-1,459442600,407061774,637196716,675352410,231460699,986862731,-1,-1,846823804,512982472,133269319,305897235,591513235,615803595,-1,943256412,486422443,339356954,571936959,-1,920522903,743443770,203566588,40227419,16935506,547740672,557886588,-1,-1,532286028,108038579,349858291,487451961,687121756,-1,-1,438840231,-1,404752773,758165303,-1,-1,-1,687189776,-1,-1,518986595,71496113,604780123,-1,445443192,61116193,-1,-1,-1,636188724,-1,651375753,772989843,415173116,-1,407437251,-1,-1,557698560,-1,824862775,268460674,-1,-1,364096983,582316448,481366914,868447886,723241535,51242095,996705871,161237329,532948561,-1,420344874,-1,671435892,-1,387500254,655862564,428938254,650118083,-1,-1,-1,868586010,427758761,223778397,618588352,332281062,398224352,-1,72574926,599386423,-1,679130202,377551735,843241445,-1,-1,28342318,153661607,442295387,422091450,-1,34849625,671265566,-1,931229237,-1,633584437,169976147,706254583,503559616,555994320,-1,829943140,-1,218241987,940749234,409491179,712477994,649821401,-1,879043419,36544729,897319427,463610149,-1,376934647,766919958,-1,562439151,-1,691308355,-1,-1,306372403,-1,727000117,273353949,207694807,-1,-1,-1,439008594,-1,807555098,855234663,995147249,585940090,317718993,404645127,337483997,-1,-1,-1,304326002,-1,-1,33777105,51031165,981588611,855702436,22822053,520419882,751651229,406894170,904760122,815022782,-1,233251446,938636159,-1,-1,95757045,864661460,-1,671900721,-1,145838892,-1,-1,708841752,595982943,-1,634035782,-1,164570657,-1,465662077,594887186,-1,150419507,-1,743612646,-1,428144775,848629680,665647493,644694069,856994045,475835049,894189095,842924753,-1,836073155,330126589,441846545,382201582,824134263,-1,132426463,288505629,-1,819694429,108128114,-1,147290522,770864043,-1,898813343,294418795,823502599,739681610,717905497,-1,923443172,5481379,765110343,531624361,718263511,483331039,-1,108585281,593703594,-1,302159818,933920506,-1,514881249,577808380,447739733,859597481,980452289,-1,244090152,194225416,207875896,320337997,653794340,-1,-1,207995389,217126970,413457769,-1,-1,-1,-1,-1,110960613,333860709,174477694,956545379,622679062,-1,575291873,365766465,5621974,-1,832291800,234927166,517181274,798945227,-1,753817670,131331409,393900528,959495547,-1,-1,-1,261486981,924484925,535236493,835083928,513024251,74138005,193034923,713602886,915271791,-1,-1,668794084,-1,-1,-1,744152352,638876968,-1,637874877,151725828,464011447,531824401,660082055,-1,602388007,142635021,94596637,693513119,267243141,940156845,575283188,214359425,51821229,-1,-1,872439242,218680840,52760885,-1,-1,-1,115110141,441508284,-1,606990803,358044407,781473101,854776668,-1,-1,971373897,583522811,-1,-1,-1,881943880,465560383,-1,938101183,180239113,828472555,-1,-1,520718748,553249736,413901929,428132612,989067097,-1,931702388,555699801,975996590,75562454,120113188,456833479,-1,917489405,109769027,933984603,520154130,915231723,524002567,-1,984229203,84572893,725298502,-1,-1,-1,748457819,-1,756466918,-1,489777136,-1,981945424,-1,-1,977074419,120085307,-1,786105713,189440485,539212300,262215938,528365516,-1,-1,950128351,43788983,-1,-1,507556286,420931115,306959665,431130702,21744568,393282330,759768718,338544760,182969611,160552520,384137368,60223389,-1,139079660,453725908,237174836,101571330,560202735,871398669,149526602,451461243,983067821,-1,620305848,-1,850260600,96713716,514779178,183331053,-1,487473630,398887175,-1,-1,771169728,343990992,252232350,-1,-1,497863257,24078587,43612499,961213187,-1,717218819,-1,774849056,589402454,407354214,238541760,160161557,552850993,-1,120120500,132368991,432691599,198176797,-1,196190960,-1,247314313,2094993,630432313,897030312,265137541,179263278,643957359,-1,-1,895973622,703928669,249748240,462045500,919750241,639345147,-1,408545702,-1,-1,767555075,703308533,403805158,667148942,240232942,-1,309951116,495948731,143576854,-1,769344087,491715280,497370916,920167842,61602023,-1,-1,920941826,327375363,132176457,818012215,627176516,-1,443591126,882124372,679907680,17447529,993599826,228930787,443963143,635036689,-1,959450182,-1,-1,92320476,404790961,649100924,535318226,742797720,198218508,-1,-1,574796849,148123860,906663441,255443078,-1,910689320,-1,981192185,190233399,-1,200391925,308951501,-1,716369899,871396717,674071088,321567889,808929175,-1,-1,-1,739109262,-1,-1,-1,923054775,915188519,340467563,168710679,-1,-1,434135713,358295133,421073160,-1,377209918,758907285,158543304,300348895,621048330,-1,964546011,466237695,907714033,-1,165758706,788019430,657898488,-1,775126518,438433505,540677034,803605040,812301650,988702727,524639659,-1,30559378,798618624,237036347,319771032,983600989,696321185,562877699,188073061,990761292,676130588,434151799,-1,247833761,936694589,139908127,749388141,-1,76056023,204513516,604290475,-1,662568304,229724393,312661275,64703418,89066293,927647526,121550326,-1,127314366,53340882,988705953,979611594,-1,-1,-1,278442543,782908177,88247704,939349003,467140054,587571551,726704358,-1,685701607,-1,-1,597341752,546643739,920474894,-1,-1,851461761,-1,856646903,-1,666671481,884832427,543877611,-1,-1,-1,212558550,341941158,257389983,-1,222733390,-1,394216695,962918188,910319361,426545958,50407169,-1,865616323,758606504,-1,715953709,-1,-1,65455298,792088619,850151088,806235201,-1,-1,705145227,163723359,324279974,-1,-1,-1,-1,17672823,944131568,58186357,255871650,-1,602510088,616503260,-1,951557918,351735640,178631505,-1,542601992,536499903,332105068,553835968,-1,379708980,572632170,950669495,208265629,459955325,604548680,806196924,724817195,604296287,600866873,-1,863766587,522981677,-1,-1,-1,207558667,36787096,529972440,228605785,-1,374922751,-1,859891531,-1,263747954,608474914,326326211,755956258,-1,-1,-1,289416161,549278499,85524418,173278765,692979769,-1,258543259,-1,32243193,110561345,155811103,932854247,-1,-1,98486205,-1,233817240,572069197,470636614,885877343,442641637,-1,248902249,941888234,32114609,-1,-1,856332329,868568937,375224932,566435485,162626734,6460877,267630279,-1,-1,136148247,345955175,513940382,223055541,453815081,498461490,-1,443438021,849533626,517931544,946622571,955272557,613405943,-1,-1,698837855,864851368,886459179,459910939,700005700,460291545,778790045,-1,987004393,409768153,618833000,281761476,348863109,-1,525900478,853494194,663327315,783608927,668592887,139210659,408567151,840753563,722972536,-1,590146845,-1,588385013,-1,993072229,337978876,-1,428994378,-1,-1,-1,324964049,666187083,83711295,109971275,917776045,761887738,398159879,16888035,499216384,831158442,789522190,-1,-1,280348842,453541648,611978076,-1,436913050,210323850,670918283,199417208,963676748,-1,-1,243436248,883386304,-1,437542125,535565332,256467341,189343970,972843838,317955565,-1,-1,-1,-1,417887237,964327572,954361329,-1,30894873,-1,54161079,846962710,454397314,-1,-1,47641460,196712893,567356159,696956475,571941318,-1,898609153,714530404,-1,38234791,572033298,365772734,-1,-1,558123425,-1,45391020,-1,183217998,311160885,-1,269832296,-1,997907656,463898963,620509432,-1,495628825,561699614,705541330,478277767,682149106,-1,718758425,-1,826915837,125045306,220885159,759080600,615500672,-1,339321158,180215395,-1,779083244,430743751,900157776,34002861,644783899,719268253,741297038,909063493,842410781,-1,178508703,-1,838529294,887396736,240143912,242004650,874750545,740828741,379771075,907397197,466637813,349061240,990616929,714736461,-1,-1,402182577,266839816,446673734,-1,-1,594572613,-1,729912645,157025097,721152603,-1,-1,-1,-1,351394641,785478860,-1,92460342,859660238,717469310,393829057,567289244,745293889,-1,714493581,243037848,756187030,500077033,22136887,-1,147011092,17504915,470346636,-1,851187651,587698052,677770604,309066631,654566923,846150946,-1,749225330,-1,876698191,-1,817046160,337006858,961908989,-1,731805012,486474871,-1,135167591,839013430,-1,998121989,168238808,579490861,-1,417422085,322190817,-1,910064926,745682914,637244606,-1,421948573,335809291,409983640,-1,14049625,758120389,-1,454734074,342458954,275267372,280815653,-1,517682543,891259080,229387187,646150188,683024659,645638086,688335388,-1,554153799,311550011,60530509,-1,706040146,204313168,533879889,-1,776391397,504298654,845357489,-1,671726114,525363653,838758078,-1,220714659,326692674,327690342,-1,481253118,872759799,156940688,-1,595328324,321403462,-1,-1,563928710,-1,-1,63577161,464368485,779696454,65156525,591355395,581564112,-1,6609746,774242375,-1,12617808,880530079,922658472,253807191,977878005,973260843,580801090,914691175,268343061,-1,620124992,275677142,-1,907338619,-1,-1,30725081,46620108,120738104,148354235,843972769,814505607,632085249,308556412,543967688,97191953,-1,733630955,165794848,620599242,724501451,-1,304983593,27817716,116875354,235073457,836044,-1,-1,-1,134702160,693865094,315855325,919100957,-1,-1,4482251,942157168,159909006,-1,548718640,483701263,-1,897521900,-1,286867568,655865915,-1,640457297,868572770,558933038,-1,369657281,591196170,630437476,-1,50366338,381243015,-1,10630571,249388417,850918665,-1,-1,287733515,445346313,613477919,-1,848371628,386050557,337005466,509231292,891081201,258171687,106865366,-1,-1,-1,441255310,674826267,239856922,282633363,16716637,797292000,939500790,525952858,-1,584887611,-1,-1,444896546,-1,957634484,507784786,487856283,-1,-1,265709303,-1,176360300,166694605,679741874,60483681,-1,956793179,949762406,-1,-1,-1,229461438,300416088,510540793,321553150,405758719,450244978,912079261,654044614,267640048,-1,842574579,208437584,35777633,955467128,133195534,286708456,625421805,-1,787926428,642922427,382325449,-1,-1,191983230,367526721,-1,233155465,742517469,656995107,-1,257356215,130939454,526212176,660593572,497239992,-1,-1,464359273,152706477,-1,641214678,259700724,329091519,-1,745803843,65911393,649896027,916115631,985272893,631230979,-1,502108259,20486436,896396195,527313357,191802620,-1,657081425,593324927,918347085,48869165,489126790,-1,70365484,-1,14236954,158741540,643427602,313636890,136744520,-1,556313907,391709892,-1,182366270,306870537,726454406,828038254,445961858,95153871,396689641,937032652,994220275,27473425,612276809,413250493,-1,474150647,334050466,583736802,-1,-1,-1,769776636,419018846,-1,158220479,-1,754103721,216797438,325202459,-1,465098797,490837825,-1,750622542,-1,301638024,-1,80146686,174983850,30534737,-1,598529442,128683531,270360716,787869666,231853961,782972728,176500365,-1,427003775,-1,-1,894626076,504907385,-1,270729625,277917826,591895535,79258544,554244492,614242793,591107693,543718167,-1,374541265,-1,839444466,-1,658369641,513260899,942594930,688158714,767291310,-1,543488019,869677473,896026038,600305861,21367046,-1,846598694,-1,782141255,763977800,197886270,873610064,224385021,-1,-1,513008238,795576885,858602712,88678353,423084866,864161261,-1,907119872,569099522,523930782,-1,503900301,-1,157768655,-1,131647853,250805441,3091895,424806358,807043010,905295278,428228752,651580982,949377458,21141122,382973753,-1,-1,107778539,414460011,597027308,-1,-1,247183117,849874417,-1,383968645,400339565,315969535,455712708,3586192,480910086,307539030,611810553,768240371,-1,-1,-1,276663319,912720144,73522733,-1,-1,897496696,507954451,249053632,752102533,-1,957397082,62239315,50334568,470417639,504980125,348995606,292216309,-1,4937908,237631180,782547002,-1,315261654,83500416,-1,492254145,368801455,226587254,480191745,-1,-1,-1,169975751,-1,711150736,161358233,597673163,852412019,-1,624769026,284310796,-1,434529831,-1,-1,-1,-1,246989264,275953359,809813611,102429285,-1,552224256,982729346,629144571,239846628,914983969,333122850,549941700,660446423,899069531,236791693,-1,232783630,-1,565962664,443885970,192445171,-1,928455334,-1,254057479,397251032,512636965,806004925,-1,978030408,-1,-1,114294997,303642185,358204287,-1,-1,457363219,34600332,-1,653592544,-1,-1,753926668,282143764,393700900,596465024,-1,868312433,877697732,184296284,-1,215680913,561485285,-1,-1,676449887,463851777,683233767,905368954,512863409,-1,935623482,76692439,244242850,460914102,806037164,517528295,955071710,326933062,338676275,-1,211515104,360911863,119582396,72855417,717271517,316345293,391188652,-1,66550138,102049501,579052053,-1,679360700,833391499,-1,976578238,716785257,647394982,466448517,-1,-1,699327733,526841494,587593519,-1,-1,4122070,706944136,176091575,-1,285889423,118126910,-1,277401907,-1,-1,903905063,-1,-1,-1,937395167,-1,-1,843556342,-1,113576251,-1,470434470,-1,-1,-1,-1,980224766,8536265,-1,294934153,670582490,-1,58324368,402833414,170878426,708045987,-1,915498507,923595607,-1,879310506,-1,875729578,137781839,-1,-1,963439448,141923997,-1,836733258,930531888,-1,60518629,229625643,675701428,-1,569078376,-1,184848881,-1,902499073,859203066,856800290,993440828,795434365,811550686,415306772,-1,543894848,12138467,449796077,323523339,-1,664407701,384526457,-1,-1,-1,330562501,-1,-1,-1,990704066,467861222,-1,-1,651783228,182648972,265536147,-1,862091763,621499289,682153342,-1,385622961,-1,713417906,-1,819055010,254415714,334456956,741867978,128820568,249425230,210649617,-1,795684902,319957435,596598466,599838272,-1,-1,300252029,-1,170997796,146978335,375877826,278445780,437461011,967366048,-1,348018381,631979320,-1,600957385,953164236,629992819,248248418,-1,825082545,175216267,-1,861147395,265940273,380867919,512709045,330439661,164153896,-1,484986765,-1,737240904,574013272,21836359,609888560,868777796,607639920,831694106,772037813,-1,246371888,932529044,903344765,-1,41931915,367733845,415634235,-1,973962796,160474260,258402059,629169439,356139940,-1,395116004,993415537,-1,85414231,674745017,357897773,71738213,-1,435290021,156058252,-1,-1,516037163,292171594,588543909,467268746,337373424,323235292,393192032,96115221,984860910,859681846,146936975,202339117,41838551,786905804,-1,905647363,-1,59998573,34463871,-1,969206293,-1,613847473,-1,660907373,617817248,368748411,6349409,587267849,487347087,-1,948827974,681097184,-1,879241588,561048598,679868430,996141375,336451525,687292821,964171654,953904511,800257519,-1,116404812,694881476,-1,147210057,389275531,124948641,774448046,364284236,462408402,278096213,819965194,780687115,622734623,-1,-1,89666564,-1,617607392,531419720,-1,657096976,349490149,-1,661942171,449118340,805157659,529921530,668360268,566421598,639028674,-1,-1,267808008,-1,-1,311274594,102533562,630727968,241649954,908185672,-1,-1,-1,35987573,900170151,892734308,317140159,-1,-1,729756534,577088953,109885168,-1,-1,-1,-1,479096603,935844793,642493833,228874170,749738860,553312982,-1,295447851,533318245,258300286,670101667,909839046,773605218,150702901,788588852,-1,649442246,944453579,67457098,883110479,-1,314857421,-1,894247304,716697745,424487665,824519614,87106815,948089357,737573333,151931957,326366939,-1,371392101,4546864,-1,-1,810025953,655060284,520000777,333082423,-1,-1,-1,613963435,682687268,942700745,647308115,825649872,-1,498231317,622168407,215928106,759099733,217192227,100069732,-1,686830793,-1,-1,782535321,497766307,276297702,478368199,883156385,259165100,677965688,498934781,796638742,837080428,515304342,-1,52620504,-1,-1,578228759,79868809,363451861,-1,989395917,5211508,646053797,-1,953349617,-1,664226754,936925990,177945642,928104469,-1,806818298,23080036,-1,-1,-1,790721900,896007331,-1,-1,-1,-1,606574866,-1,638475459,755059365,584500264,393233159,-1,902072981,550029751,293499756,510436180,215942465,-1,577948818,81053814,453427199,923957774,951357171,119386619,929916339,667589187,997671340,90557952,-1,229397764,183751820,-1,593802054,493846311,511871984,986539149,997274800,195126759,-1,87649358,594936709,-1,983989356,155175389,152288976,355567940,88622978,738765207,65112127,801799043,877455163,652404748,986234449,-1,-1,-1,-1,-1,-1,-1,-1,190011399,-1,577102560,536049238,419455490,-1,794247118,-1,309975590,831226891,591830386,-1,611701717,-1,780669887,266726689,319264448,806164868,-1,837397281,568433951,643656574,895105099,-1,288595551,7191624,638242959,-1,-1,690375612,42607563,683932195,-1,824261119,964061696,628975702,660375187,131882125,955898692,980033375,558809673,769908827,209838250,-1,107943796,352289253,-1,128612256,637963833,923711129,699925383,-1,-1,529898006,631125971,-1,66348555,895374581,-1,818580660,-1,-1,126585110,-1,206017431,-1,92532952,227037659,579159608,616573155,356558428,944075815,169602072,661657017,535800943,395546385,578947558,708500147,216019035,-1,414550009,835567433,416652581,-1,-1,549025500,683367372,-1,121181742,809842134,-1,-1,59097449,27756400,840893667,699150947,634009531,977051336,643034769,334825565,-1,675260397,876114596,954376701,-1,-1,-1,476293056,-1,920036227,927670094,375972821,950489687,894996484,513123444,-1,387826280,-1,750987121,773535418,493532408,846369648,665646927,428642183,679972177,-1,-1,561071407,-1,-1,-1,785759774,-1,702804020,-1,703726491,-1,-1,332798966,71220321,246089977,503386139,-1,-1,606743316,-1,421174327,957395711,-1,942737262,492978361,48938643,940064029,-1,824560154,-1,-1,961547559,-1,-1,213376488,237695835,-1,884542102,182095408,295648785,711040393,138979273,996886504,-1,320249698,-1,611611619,7047793,943986114,840060858,-1,965471893,475429275,950991649,747684054,912656815,121030899,283881814,-1,780321716,-1,795972605,-1,423514219,17733505,-1,-1,758001785,-1,21545878,972445960,880968311,342231143,-1,732669394,-1,-1,695131926,799250640,654822934,675394758,140158979,779819717,-1,825534060,94843688,492106489,758647602,-1,350368024,879143985,501404925,555403836,314623134,-1,-1,230128647,762842724,221860654,394424010,843344130,-1,192714422,-1,281001123,335196311,267029670,-1,-1,6156567,991068933,-1,2187830,768433138,-1,651987180,227882286,794572036,-1,-1,-1,373496614,427729167,219849942,666494236,564263040,738188504,261150384,-1,-1,622810623,979985424,608884483,-1,139770884,917379288,-1,415265586,-1,-1,-1,603219042,-1,803206351,-1,-1,548419463,-1,149428637,-1,442342960,608690430,-1,668386645,-1,347250498,780196975,173561398,-1,-1,731103400,75461575,88046018,648426167,301228228,223435751,-1,964337196,789675860,512593901,491008184,143119188,-1,-1,311053714,283604074,415077092,973883930,-1,409410153,-1,542849045,661724081,964914849,-1,432449069,-1,11302461,951153535,-1,831908513,861055141,25862089,-1,805774480,609830438,521168722,757471613,399336245,-1,841412266,754007901,782747204,625446869,735065709,797678707,546636282,925668855,807108620,-1,-1,-1,-1,-1,729461322,500094359,-1,569883723,-1,-1,-1,504950752,-1,-1,133297898,645316197,-1,139119129,631173998,-1,983842259,675139528,-1,137445060,325693263,494478179,814442724,658675786,225282399,135195105,809339344,922384365,792877486,214669310,653253072,682165712,-1,-1,294630821,-1,924656467,441842571,-1,178666825,828261626,481775525,411664094,968326944,-1,365243973,457467145,-1,-1,842520006,679261940,419267516,-1,543157635,119027482,327678960,32166056,560942314,763478923,189430711,795195632,399624934,-1,958049141,480598519,992292710,845905105,232101361,889604063,901821808,-1,468166851,888996855,-1,-1,740600530,356196302,660535283,-1,966724146,-1,-1,28154959,770979720,12535336,377088809,600282933,111968909,69689532,521696252,637146844,-1,-1,-1,215016064,-1,-1,-1,970366772,491671283,235579900,-1,374911891,894279300,-1,873660457,737751746,864345458,216134834,442119129,-1,99247568,-1,-1,887629692,-1,208614433,217085753,65410129,760001812,360775006,94140724,-1,33894035,679183272,587628055,516196548,647388211,-1,519363331,-1,216886927,748876048,-1,537215550,-1,280421929,600947435,-1,-1,850511340,187180198,-1,260015523,-1,-1,999402157,723490701,228493819,995630144,436101181,318233135,430041519,897365707,85652404,-1,-1,818119399,869436044,749322540,869801532,94559255,645075416,179895728,515236145,782902593,942004242,217375064,322195434,404478830,-1,956992432,405950636,-1,525307202,-1,827895502,838307434,-1,-1,-1,914007398,120028990,-1,34438426,83961528,-1,695978075,795945527,426823034,-1,-1,3682097,-1,342108794,733931278,295069809,551898070,141009557,909158032,163552814,923777991,938586238,37712661,855514257,203049877,777687652,395385516,567510876,485571350,342025629,380732695,146898093,918279295,-1,338635379,-1,330174186,84619768,728613364,26942615,-1,854194543,768045965,255004134,-1,499856482,-1,926219615,-1,-1,-1,529384975,178979530,-1,792098569,103575687,21681507,897583621,352339139,442143732,656948412,-1,187088092,222080715,-1,-1,-1,765108950,335575299,793768409,394172884,477630094,-1,635596372,-1,846313588,-1,734534989,437506303,-1,-1,328105716,36519376,409988716,186738942,-1,636201501,160960668,-1,208506408,369962225,897724884,-1,34591471,731899941,-1,-1,434264715,832843118,815458547,-1,-1,-1,17295196,576621403,981659954,632827814,544795337,46455510,37772367,428843859,-1,-1,-1,-1,39203659,949556404,299196726,217423079,608621639,-1,423432182,525017843,-1,26628480,-1,-1,731554285,487292079,88801156,-1,-1,303220916,215280994,-1,468937046,915585336,-1,82679208,699459386,932360083,810982195,889097609,-1,792219729,941718039,656341978,422108334,493949725,291155470,200619907,-1,132382491,-1,180305998,244909515,592393287,-1,550760074,-1,-1,-1,-1,760483893,325365078,866030047,648514855,-1,187060620,851502903,280505813,404819885,662052981,756375747,-1,-1,829755793,-1,923746249,-1,805670411,-1,285902609,251934673,-1,-1,642544394,376737163,564894662,-1,-1,39399070,737991851,54161954,710854309,559417840,-1,90385552,978916961,255096716,339019174,799851897,964753347,103898322,766313344,933762712,433220227,-1,517975260,481638484,623471030,445255210,509788644,495565569,169735486,-1,831743069,-1,86136841,-1,-1,426672941,491028638,392389818,641668422,926685560,246063693,608694579,747310814,659286919,883332570,759969321,933674054,-1,-1,132751854,554194703,-1,-1,946213304,225576352,-1,-1,379060644,-1,378547417,602679759,35241586,215402206,405012369,64073564,573722708,955701150,198306230,-1,380341898,272142669,916938964,935197750,-1,162094406,483294671,284066451,743107235,921904466,57775891,659014597,-1,396392846,-1,317150245,190609861,375509894,-1,-1,-1,532113122,69974099,-1,716811167,499163015,11670465,444638541,909488007,735570223,63526961,195559216,35074936,31885973,928043991,312949597,989373669,366214988,-1,501301629,-1,-1,588866472,803545273,-1,671486895,389017931,304383930,-1,-1,249982825,697797110,310600355,-1,68610557,-1,919770113,756701318,-1,443314468,337100898,178844509,853140979,382609158,209371378,342346029,342211948,323961306,-1,-1,952412497,769561937,442928681,-1,418287755,229525879,-1,178732870,-1,380396841,-1,851157823,266393344,805692804,250590408,-1,198861002,808878879,164183624,-1,-1,930864071,133776922,578390583,673517601,247281684,-1,-1,770940089,-1,567993856,641765949,477783143,434791846,260123904,94885382,-1,387594261,543850633,929446568,374665506,792193590,500366833,931470674,186554519,422144161,901369456,-1,-1,463419912,818203332,54725598,870437123,824183458,863715761,-1,-1,484998401,151059009,90154678,-1,-1,-1,963855790,-1,-1,660579435,233514275,104357270,441856405,194097414,476008093,-1,334361319,-1,-1,-1,-1,616359761,-1,-1,785656963,315249361,362163572,250651691,143995226,937024788,539764192,919937129,512034700,330187012,798531467,538628858,22723263,161922312,57360582,-1,971541716,715620718,235368141,888915467,-1,-1,408653286,619492976,-1,285707721,739409175,462367926,-1,287513165,629445853,528085491,375001984,194215752,135081308,62244406,309953425,557753850,108241104,902249568,624660597,-1,456167493,-1,-1,-1,440439899,157448376,650763565,87361824,142150533,14946742,492409640,-1,711786702,-1,-1,-1,197145683,834464151,980109879,-1,-1,-1,16117667,10547861,67239088,142229225,-1,-1,461166648,612324787,-1,-1,4575768,237860835,326807216,470236844,469313155,330464444,-1,46759321,507152277,653320409,-1,-1,74680360,712177882,336343700,749945874,-1,819732430,647922283,702340681,-1,-1,-1,529741830,-1,-1,-1,-1,87535278,-1,-1,-1,832539553,100579652,753461736,-1,-1,-1,425096017,-1,540715209,265018024,165999980,363330996,-1,378775277,34545955,-1,191787157,979263630,17544060,499719077,219178094,552689466,-1,738323369,243336113,464595103,-1,918874243,981398559,708799766,721686537,208094445,100252048,-1,-1,-1,492071953,-1,-1,-1,-1,-1,-1,739550168,984124643,570780917,367112194,629730460,741432809,359214066,962841560,-1,593616386,-1,180515717,-1,884835605,946705270,102724011,268358737,988191422,423833408,943294878,909400403,674496204,944292374,351507725,617387111,878405595,551680433,55235560,677648625,307957798,910719527,986880987,89545444,978373504,58151399,691898577,-1,989843714,712942295,-1,17234225,-1,-1,849484014,-1,909897097,-1,-1,-1,557527688,718054519,648819954,-1,698759342,276160953,-1,-1,466482629,-1,352964229,724784767,165437519,-1,502952072,689384078,495037056,161282991,849362292,213653030,121729226,-1,949725348,387580181,-1,-1,-1,147166013,238386713,-1,126380361,940817194,723352630,644043935,-1,69729908,-1,239333651,972129742,-1,490077491,-1,322357674,-1,-1,-1,908225047,649667822,-1,61487167,185906636,211234028,224436277,131634223,520359538,557364091,262007194,2461019,30301050,896291609,694063402,-1,-1,-1,244065398,-1,-1,22335105,824830124,686560770,707617326,576393615,894941510,-1,395338954,218320563,-1,-1,195362668,242911133,-1,829511924,-1,263570326,395138702,884776303,77214721,740886199,90327358,486286182,245018194,295456224,528508880,186795243,-1,-1,709001497,-1,263639230,176074680,24309828,817105020,799329518,468777870,634558473,408033663,-1,-1,-1,989214879,147497147,774352307,815231391,-1,-1,282011329,-1,223032145,-1,751484974,510763182,106896785,-1,382603768,-1,685197289,470865619,994939168,413078731,152913038,-1,294464056,-1,-1,309565198,948214557,-1,74154798,527945335,355641962,-1,7198805,-1,636151357,369132833,330500956,885314820,617526651,678044641,991071093,326522254,682682363,434902613,689636108,-1,-1,647768661,21119653,-1,-1,359821275,497752461,-1,22262997,48779118,224634113,-1,-1,-1,773214609,-1,40341113,623322297,-1,856920430,560375647,991038794,712594056,-1,463469927,218796752,-1,127567971,-1,718985786,-1,940238558,512281603,573358560,64676130,-1,348268302,137338087,363424896,-1,38204240,692141290,11319177,40242390,767010937,585591007,926090636,-1,-1,260850536,535889311,305113103,790952470,334988866,968346178,894273637,-1,275090505,-1,-1,738445072,-1,573106449,-1,-1,-1,899791733,101763957,46024982,658462530,988193977,-1,439625030,447923692,355154855,-1,-1,378627229,921432817,-1,941606990,-1,-1,167388154,-1,-1,352940047,-1,-1,-1,892533595,125250357,207829802,829861114,977358983,834933188,-1,275554450,800804269,446268316,275927448,875133046,-1,493645252,930361833,155857274,473445098,276608785,-1,734894846,-1,-1,324368265,118464527,733789486,448947139,-1,927436858,666328500,800762403,764992915,219162258,-1,-1,622926416,618363483,-1,492971545,50717021,346314174,969166422,46113328,200739843,-1,939949279,-1,246157261,480078290,-1,-1,-1,285909932,-1,843344117,-1,481911797,459263266,820581066,-1,504617139,140148122,871562145,953980207,980181989,369847050,461534227,-1,815055317,950290675,281111642,768825677,334985676,-1,78782052,-1,-1,-1,48288764,1737798,604536780,103006888,274715030,-1,190182433,-1,-1,230548168,954967908,-1,855118835,667057612,590311786,-1,821629222,83125544,416926080,-1,997139351,182200133,668862154,-1,-1,-1,105027090,-1,484362947,223129492,-1,307506245,232426422,47467067,705390085,497858322,-1,308860440,758553207,789149872,73263710,905067990,984945463,-1,124284850,-1,-1,-1,-1,203169322,-1,128795686,879426035,162528344,173907787,957146134,26050603,-1,352430888,-1,-1,-1,-1,-1,33099490,309518177,-1,204208972,-1,114220185,-1,469521805,913891375,795442344,-1,-1,-1,-1,569310493,219016343,-1,646961894,507315691,855010648,-1,655112445,346819177,394854980,-1,-1,350870616,196395445,279752736,823058852,-1,780552366,877869684,-1,-1,898045509,-1,382105207,118619197,281771746,-1,-1,520012439,882753917,733930643,193010141,-1,-1,922563208,-1,262955930,-1,119246406,484589407,-1,649565478,519948153,843960804,910551266,6406786,477243076,222456595,-1,377506552,426603327,651337638,108735123,801011717,791748546,46233969,773673033,167226179,379243745,-1,869964627,441633572,-1,423715325,-1,890489324,571728091,834167101,362205866,361829807,-1,411673007,298958798,368722267,-1,141889199,891037915,-1,912732134,-1,575217462,202068597,728679617,-1,992273205,642750298,321308791,97354942,5334531,-1,-1,-1,-1,-1,-1,311833295,920215437,264828367,589561529,-1,145888245,-1,663287082,-1,-1,-1,-1,-1,530950970,631847423,860392580,54830713,214208511,-1,-1,599289215,-1,85206793,497652817,746524498,550889434,-1,556486269,499620117,-1,-1,455161003,631514616,97602300,802830899,608548907,944562989,-1,200022332,867398641,870686290,-1,249919082,204071426,489579709,-1,-1,791474196,884444926,8889859,-1,340645271,542611283,548081261,95768932,736624149,-1,151255030,-1,29294142,258264805,500430521,60015233,-1,518594854,577429491,731206445,385053838,886316305,-1,856893886,321743555,769313409,-1,474603125,95192990,447769130,402085400,60471742,211989360,789127949,938623228,835069972,297183359,35357143,687621789,529984629,600072276,-1,506121248,-1,-1,-1,986910163,-1,-1,-1,-1,-1,-1,-1,22933876,340043676,564309875,624495839,366371069,805426483,757785001,554129203,847941598,189331623,-1,562147469,218136735,-1,669276278,466922767,372035238,448180220,-1,767501589,175879071,667760081,-1,-1,819963969,-1,407762027,96445376,397123289,-1,659691537,-1,806078817,514718651,-1,203448874,650152560,243425200,234796699,-1,253475437,226790918,519202965,-1,-1,525702790,810648939,229298522,872176857,785788241,211526819,-1,655771150,-1,103292567,262566659,859111637,474037977,-1,-1,823731746,774446946,399843643,67672466,590209590,909730093,86923633,427422139,-1,792616803,81396515,931242188,-1,306449080,796090694,-1,781584486,-1,-1,159975221,265088465,395142200,749721342,306280697,249621902,580758617,170060131,-1,-1,287769155,-1,250515660,654205268,367765493,-1,-1,548681104,-1,192464776,-1,9169474,224405965,440079855,793824888,911222993,539939386,-1,528338335,225690293,808302093,956651697,941250358,-1,49017570,-1,22391533,8792096,92144787,-1,184020994,-1,128864030,962927604,-1,984134866,-1,391491859,-1,-1,-1,618492990,433931320,476697951,764622066,535084833,40687781,227184252,876082154,388797593,248983094,216938228,62158732,31505331,379839633,-1,609308685,-1,-1,-1,-1,410647017,36821603,76757177,252179835,-1,791073172,367449680,193473810,3641384,491384065,23463423,542915759,493127925,895420101,586470827,69319671,-1,-1,-1,-1,303732087,190572322,833768699,220582241,513120726,756531941,474065900,-1,-1,144933993,-1,-1,776451065,495365243,952383931,393168677,632524119,-1,372915407,299834841,9574325,592452785,457342968,739519370,-1,811782511,768990264,157754805,257047768,459798800,-1,123475305,505105326,-1,764638661,927552504,-1,-1,-1,48301838,479895992,-1,351333747,103536467,830784127,-1,-1,390440106,126680001,734662313,500868592,997876832,543531877,421678469,812890772,851905279,570675652,751953587,-1,493280708,-1,-1,651464699,-1,-1,-1,-1,277209788,370946871,123703155,-1,418025568,509070940,242897973,143644455,-1,-1,863601672,257234088,-1,472875010,846558792,623684863,-1,364039479,494521395,595017875,853624305,563263905,113110298,59006105,68986444,320433941,90864165,566647849,229187392,351230105,-1,-1,796521238,654156813,-1,14079183,317833223,665911605,135889114,780099841,573351636,-1,-1,-1,-1,952713764,-1,-1,237484509,629502566,-1,837589929,770886566,-1,260633055,595332335,771577689,-1,141040835,516269058,204413750,315959996,874303606,426387762,-1,573060032,556876970,209140281,875150724,-1,813170874,-1,-1,-1,452420969,-1,84873925,-1,675341781,-1,840829093,224220763,440322094,856212471,708733319,-1,-1,501284019,790250773,854807880,-1,206350220,562882279,-1,643259869,874556332,439299339,844120877,694279073,635059537,798019581,236096730,977938637,-1,480108165,30910731,113172330,-1,434453957,-1,-1,687228685,925796128,599577621,371003071,-1,38372873,562787846,264237509,713936207,324735229,368733023,614349024,-1,732735649,101660537,-1,56762936,584538402,413253134,181883793,378710856,28899029,923620134,678673106,939531207,-1,-1,722865324,-1,922134992,91475214,804039820,791412967,554490703,234960147,583972680,-1,-1,942355912,93157539,636150028,269081421,985987341,751210737,-1,410855899,218607043,-1,424867093,792173153,-1,696708334,701502183,893804035,320994005,419167287,726704578,889259775,421028764,484254357,-1,519133004,-1,49743750,617160130,600117648,444218466,468427367,710623133,-1,-1,676280092,174835941,266630162,392451113,459246656,833789756,934773009,306306809,784209276,625310722,308406020,-1,972923478,67600807,-1,-1,-1,492828695,-1,-1,-1,216636094,-1,-1,-1,815202692,175832341,-1,103644639,-1,919623248,819338241,-1,154651590,192247914,501188593,28350149,794188748,-1,690883129,-1,-1,749399306,694254125,602942749,395793588,-1,78558380,-1,682085908,-1,-1,450437827,125139580,-1,91973481,253624983,-1,441137340,286267929,861555821,910786894,-1,386521532,243265748,382719361,-1,892465534,490678645,-1,666563017,254625048,359786390,-1,-1,455714073,59545411,224552724,-1,212999720,974290600,361538676,-1,404865540,875767462,714915817,737469074,402595748,-1,716751204,469693712,-1,-1,744918138,-1,109626463,338238330,-1,890476978,584192260,220788294,691042449,838598739,697309499,601294465,-1,683050992,92623478,-1,313462685,764168462,-1,375869910,-1,-1,990442925,-1,206778574,433696782,195837959,151165069,688903110,558826519,480423939,-1,86400373,119019518,901230002,89821600,741625406,402869108,929393407,-1,763567988,938558520,-1,779111780,219967458,688484957,245423844,608062140,456899735,258125972,37018660,99138569,680780803,392144180,783388725,57212875,677976708,386374760,864849840,697572700,-1,372723389,-1,-1,566327422,398867561,-1,860063504,-1,542813395,195570642,17742759,450716041,516182043,640994801,-1,-1,655009713,-1,382194194,405197576,241100353,292703797,984084446,753306447,-1,-1,185948478,903846768,-1,-1,389525144,-1,-1,-1,118972780,-1,148354325,340741327,241101918,176507800,762030079,83133115,-1,301196537,4796896,255328516,-1,990108565,-1,-1,-1,207006935,208323783,201037652,289723760,-1,239392513,664972692,864743200,82489308,-1,937791338,783213679,716833977,991900354,828151840,820226576,686731678,975665745,974560498,-1,45926434,-1,629900920,-1,-1,451504294,719928990,792842866,559898816,295515683,35400809,-1,847297143,294122128,661552114,-1,871608009,-1,-1,640082635,758443875,-1,733612593,14177015,403302114,913747846,-1,770140498,-1,688002289,-1,-1,-1,-1,-1,946842803,116559715,-1,-1,823157659,833994091,-1,891151993,903519919,998468242,378114112,767969821,403637434,219106292,355538323,-1,-1,565002037,-1,518117515,-1,859912631,734012911,-1,154206110,758555266,96497578,489467144,-1,349431567,-1,593208521,-1,966716587,-1,285305766,-1,157659107,-1,-1,512322551,-1,189913267,554907225,549097694,70150541,194311602,349030742,890004892,-1,393608736,-1,156570026,759336740,-1,679547609,613360864,-1,-1,-1,-1,306588959,-1,-1,-1,687961619,661744478,-1,946999538,206740909,291342961,-1,973249321,387392986,697770129,970981200,-1,-1,483401027,448385023,42166248,252905145,-1,219464911,966787664,603335458,-1,479153284,-1,-1,-1,480552592,-1,356790161,778062884,649918931,213558941,-1,49688204,781501575,208313272,446518940,-1,-1,-1,223538475,937905856,506563489,-1,266043762,995949594,528201712,381312790,383803774,535484282,76853503,989615996,-1,934714809,-1,969813766,689545237,977896084,733675493,462041194,-1,-1,228234279,-1,104401534,671549755,-1,55017900,660492729,-1,355590056,-1,669675242,322461961,-1,898596718,516667081,58132852,-1,885961113,269270498,644870562,285986564,742415045,458850510,311087321,412992469,715662461,329891768,522618969,-1,846885286,-1,593415669,23485597,779277733,-1,894021501,-1,794155468,471392609,-1,878876086,-1,687276788,150589961,563534922,-1,615302917,316238459,905345267,127952858,953432395,-1,-1,311217610,31487037,664590028,159863305,82939049,-1,-1,51403518,343548002,210765514,487463755,286890512,-1,874606826,239063452,482844075,-1,736900120,649890721,834396916,170499556,-1,423787338,759489878,-1,-1,-1,39178853,975996906,247942039,-1,-1,-1,767757654,-1,-1,27836189,281024201,738543347,233369123,146614554,714904086,42825648,955969138,-1,997105685,19840836,436930151,-1,318164873,804077000,-1,-1,322804882,600422360,441510992,733261609,-1,-1,-1,-1,327261883,1405372,9601807,246721088,700742855,-1,582695642,878227830,379362986,-1,-1,-1,-1,488268577,698388915,388100822,-1,-1,596991767,-1,843842442,260997801,140990062,993131654,-1,132606386,88722709,241255070,-1,43582790,31681500,885366507,4689316,-1,-1,-1,519766225,640636423,178189366,-1,-1,-1,729694968,-1,938126524,-1,610462756,615939433,-1,-1,730341142,492194547,243666158,332875672,-1,-1,444049679,457800770,373934304,267839514,-1,372028371,321354460,320396211,534500395,608163386,-1,298116805,69513851,222349381,556479186,11440940,553430622,969537984,172742698,576954674,975870812,-1,-1,33512273,484718274,943118713,43485982,-1,739721990,149038761,298833828,647324678,542269649,285311436,420138650,998854686,785674463,398455126,537537607,952454187,720893895,-1,612485239,964072602,-1,489954691,-1,-1,634340837,-1,-1,250123225,472019801,-1,-1,511283138,-1,815620944,-1,460592423,945052191,820305569,751167202,889588017,-1,-1,254148507,-1,753410721,773723550,610796802,326378259,845678000,378876582,34562259,-1,863606155,-1,555969144,-1,-1,-1,924255941,504119356,964008418,-1,652598821,-1,-1,-1,-1,504090431,658162751,-1,31855053,-1,32118831,-1,-1,758478088,110290878,6236627,716230752,358433639,217723907,932541808,328016220,348000897,570522337,724125238,665736012,600821731,731527227,-1,58787185,42699714,706698380,-1,-1,-1,882626503,279313051,-1,131573537,916883122,171612021,-1,-1,246089503,767545470,185295940,262337648,63775732,136937140,834631970,473207788,-1,330616445,100272542,412385565,255998799,-1,-1,186578048,237538033,738269098,270163687,766818784,98994959,927722973,-1,840219721,965168603,15930894,294201123,643514842,160681071,-1,442691567,-1,958872539,-1,-1,363639368,767421047,-1,202715844,488565059,-1,298742374,554435089,999830443,-1,418758745,551214922,-1,-1,84100851,746584458,529304001,700389155,-1,82411755,384247762,682158596,56302731,683101781,589143312,-1,202706669,542637659,-1,44915995,763362092,429964446,-1,516956492,764277473,805217952,975190704,318226417,521101389,650436039,-1,708038353,-1,185484167,-1,374193976,-1,-1,596154330,626852190,-1,950238742,346790901,599758081,324563395,457504955,-1,306514682,-1,805651709,368590869,910985688,848064783,-1,166193130,987124058,94835491,899431841,-1,537478470,-1,329288838,524944436,749747818,90518936,-1,988220731,494587354,820771497,-1,698696414,720438473,-1,-1,481043933,344815780,72822453,981048832,726119764,992418351,-1,599530788,-1,-1,-1,-1,-1,-1,972741836,944793046,683575799,-1,49430857,647419935,-1,883675595,-1,769334224,733241185,392751811,160418922,791381024,400309368,627130554,32026956,261364389,477860694,510381329,-1,-1,382252329,272150024,-1,-1,153639412,432224804,812184066,-1,665424442,745646155,509792145,584485299,-1,406653,557155357,890505807,-1,224681399,628893642,192851705,203829599,-1,825669841,-1,285820982,945264091,968955403,300625880,622074052,156461269,404983032,-1,148790835,599858609,809073940,564216309,-1,-1,205419194,821663351,931351502,-1,-1,462357204,-1,7131339,789794501,129797886,351471919,263614219,89921499,603422197,-1,-1,865787425,725537731,913679765,-1,464418125,-1,951603041,720013398,290570702,134002967,-1,179903361,837557076,243026945,979429810,841797070,854694037,200638053,24144764,597477708,-1,239098172,182394624,466244386,463827791,173354652,931788938,136857655,-1,-1,38058993,-1,712913136,223403482,749808235,-1,-1,-1,171301249,176520290,365376943,212866440,526876518,884054488,864538312,305550015,191227982,511835830,142416070,439935561,-1,233177103,-1,352617334,-1,515389385,642969132,118070782,550675374,-1,868411998,-1,-1,914201252,-1,103837905,694531505,-1,-1,915399663,613109442,-1,-1,42480788,78001894,623575984,-1,689081256,-1,707060638,-1,289059525,295191339,824549257,-1,249131205,289078014,97968280,-1,690783843,243908237,-1,781746958,-1,584348588,281424970,286892152,820967167,-1,-1,720048875,659852046,352581371,182286977,801917562,301487618,-1,962630561,-1,-1,158038212,-1,195020211,-1,-1,218952977,248351883,285577915,-1,718361091,826695678,382562302,782320414,930465530,623814758,196286844,952591446,134530814,672922795,-1,-1,230955653,365153121,818475171,745599102,571304947,415942581,7206141,468378477,868815399,394154337,-1,470283322,-1,444432415,101537132,-1,401150519,-1,-1,-1,624185021,365314120,695592973,-1,-1,218798996,950070858,651445835,-1,-1,-1,405619549,-1,139233302,30381178,717246813,983607383,-1,187171367,205236311,309137029,979556649,886200053,11871945,131284997,663269367,-1,-1,801863957,974166003,283943557,274000117,23634260,-1,354063819,294207501,794945685,-1,325442775,202488858,258158482,216103237,31493803,926079993,210373402,-1,642602594,-1,732661813,557917305,-1,615745828,897794880,278392498,-1,697559794,231963253,262444699,678820329,220101358,8888924,431641679,-1,628835452,-1,657590985,517612300,574169391,260918851,-1,246631129,-1,520462938,676866503,499193536,-1,263441104,618523347,892767922,443449824,737458933,-1,634084418,911774122,873362218,8113044,213913077,811179739,-1,785036282,427171395,678988485,-1,439323714,964968605,61613699,724013090,-1,675926653,829356360,207573059,-1,789221299,527073816,710553207,642537211,87574714,-1,558748384,884494980,674300889,835303330,508898861,-1,986544770,621401449,734608118,718827609,834948254,484841881,246039396,928984342,366804799,892337525,485542299,-1,776021030,630474944,-1,-1,203096828,949743725,-1,707052731,573769718,-1,402934191,676593975,-1,97126593,-1,304441574,819769586,328337413,379288375,861041788,-1,6306653,817877845,-1,495721906,-1,296763807,-1,217608578,-1,-1,695489170,506195112,742366025,-1,491983248,-1,61289954,-1,328617377,285538796,-1,-1,-1,536714612,-1,796454479,351613858,649929807,196212464,707523429,439752184,985753589,456191793,532193012,833309767,70649426,-1,160434873,649945409,85010566,-1,4644203,694519766,835549947,-1,428800203,-1,878676147,388754818,584400488,848358599,116209930,-1,395860689,215692480,872924185,443933015,789294539,234385987,393299286,586002553,-1,-1,355614140,518915035,986924596,-1,-1,78607590,-1,684159216,51144223,813652077,-1,170650239,202461703,-1,576298399,441332623,764858913,-1,550428953,949181504,395902445,279461058,877933898,-1,702467316,671502675,660127584,176131440,652240016,-1,608474865,-1,649078893,766183212,704905975,-1,847177138,24927607,962757521,695883385,-1,7643987,639332808,307573368,636038435,-1,170228025,734715746,452054431,-1,728463235,-1,39461681,-1,599861656,623266273,469897346,-1,640331440,227697837,68243753,300020351,-1,350014618,464864426,747540614,341770482,774594360,-1,-1,628169203,727711127,304903637,-1,-1,-1,-1,-1,479825243,-1,240219293,535093063,718990846,-1,826230218,518218465,-1,-1,426441494,50539438,-1,746300413,476232210,311210886,767273187,279558207,987794181,701628602,331224591,103051613,-1,418362288,572606314,457035748,111475175,-1,841572191,-1,-1,-1,-1,-1,-1,-1,982822862,828007361,274496643,61431478,-1,463649197,-1,581692512,668083831,-1,-1,204926359,464277409,22245993,189490162,18010815,182547597,-1,-1,953762065,808697681,92202229,981306248,958407216,389771055,-1,432684817,498780293,421642095,-1,123770293,973132396,975849833,590646593,74574766,416658760,684365946,-1,-1,-1,-1,315239801,315690623,248229615,-1,745303121,802439329,-1,-1,858163055,-1,232179442,625273988,332101375,-1,354594346,-1,592050111,-1,-1,526664283,310780780,-1,127323240,660527418,-1,95798434,840304936,384362455,195414300,803777467,226958052,-1,804915802,502325466,317275184,550459990,770785611,629598817,700293182,351100312,-1,648369261,150880451,390854990,251395283,708405484,492995459,-1,293036657,540915699,-1,324524899,287627152,736947796,409610311,906825670,276494582,839780235,502653395,-1,238249154,94292365,331380069,-1,343529941,967683482,409506785,877326266,395346491,670055832,629913716,604386805,-1,388269062,451151500,-1,-1,400996798,797581620,892414894,805595616,566824911,182037949,310603763,151986406,-1,19487853,497160286,523123486,226078609,-1,935634471,228692346,361885627,516219680,-1,196114722,-1,675757178,365413450,594941324,629470002,-1,185115227,289878736,-1,234855671,280025469,967362732,183528743,240294332,618678950,604223488,283353791,491369178,-1,-1,-1,758676018,-1,317528788,545062965,-1,-1,-1,321571357,-1,-1,85145877,86579104,812260110,972642500,370313006,-1,815371600,965144826,-1,280448812,889468250,280794358,-1,128475648,-1,794073940,847951710,329981586,471765798,898519019,984458771,123461923,86273724,-1,631598614,215539075,-1,983555622,-1,463737223,-1,176937654,281212452,147292272,68239907,705563607,-1,101449998,245937107,225810808,658452552,-1,705851276,234208260,966874334,904522303,41302408,580905588,960618021,-1,734535858,727325504,584136560,444496214,728505392,394587441,248775656,133377207,838980944,427989562,135009403,17253795,-1,274047660,996328632,40975470,-1,600682748,179643172,272020902,836305373,34769467,453446232,937200889,-1,629810047,-1,268587666,761431235,323559682,-1,838791709,537576432,985622238,-1,220810936,-1,551049414,-1,-1,-1,788857966,242111199,326832963,-1,-1,319169111,653746375,484933682,-1,-1,116405826,-1,30247965,782515224,724625517,-1,457931278,966972193,124450434,-1,955854507,-1,-1,805128937,937028436,512810234,45501010,254064422,177303326,557767634,164456959,775094388,85402587,616998556,55291430,-1,331033713,-1,609285009,67632114,889552307,130690877,-1,916724582,489477618,-1,-1,60986940,251255243,760283034,842605221,223482561,435663246,-1,117799919,584344930,755198090,480296506,509410912,600436748,442988742,-1,463662450,400055804,886802661,461051013,851498896,795676524,402459451,419311940,-1,41018084,533140539,754315646,-1,-1,512235930,671416075,353962233,529031969,229789227,145356933,-1,-1,-1,275394670,802896169,-1,476545449,507223113,-1,310428117,700292315,774804737,526026905,426695538,783944708,589274445,985748593,517750724,679975077,620665641,950255617,607295806,968701515,-1,595918564,5401567,992322116,-1,302893579,516179471,-1,877669594,863784119,-1,848420524,-1,49529443,458737764,-1,678406940,571866223,267333493,403912092,362209704,897630830,301044666,754436637,-1,562072156,402086359,757010338,13047278,-1,978547740,265847727,-1,647493397,823885779,838539714,469604397,-1,890955608,286851812,522336919,683445481,136751372,598283271,351819424,-1,-1,-1,260909089,-1,-1,-1,96444503,-1,625648238,804832856,863761602,373137727,556878534,318834836,-1,462661268,64555565,605987254,315501691,990324586,-1,832221103,231997607,763621021,294594012,255540922,222337077,835782989,400255692,-1,211460553,-1,-1,37875962,405071521,622534176,847648413,582215396,431840733,727902073,-1,884638406,424623099,-1,35037379,549635097,745832956,-1,446060410,559502163,246041905,-1,760726012,625270305,160374082,88707447,-1,12359900,560103089,-1,831056724,335003310,-1,290971534,132247143,445216487,681678034,-1,629590183,-1,315384748,584744606,233483809,-1,631186416,525819424,-1,338123007,422607232,647308072,107862131,568592272,-1,435670487,85684439,17636065,230129410,761189977,814068923,539449863,-1,305231496,44960580,-1,177521099,-1,343823009,-1,697641800,381568040,-1,109414415,-1,111289037,835969940,427987401,458289117,-1,983875465,418792421,-1,538389850,808194010,665926517,-1,803168091,-1,794877592,-1,9064553,367031241,347159819,-1,65149570,825246539,486951087,310401406,-1,-1,-1,348536379,128981552,906827001,51901892,-1,662342316,70493553,101963142,-1,981788080,-1,-1,405104367,-1,-1,613032423,721517015,-1,214746683,-1,160834846,-1,533104761,-1,721483204,879962525,774106514,28332962,507214979,-1,312002710,897084772,62140091,-1,360429841,-1,746281329,-1,113844009,-1,852066418,650600079,780805430,818163629,-1,583064354,-1,49341323,-1,217236410,988144571,213206908,907192753,760576957,-1,90871304,533904506,-1,124941537,-1,902329272,-1,268766802,82111211,71387220,712901962,602626718,-1,647794393,694695079,299235994,533493944,227135911,-1,913334514,980594817,-1,146430781,-1,-1,957862856,61683924,-1,7028197,287179348,149675775,431887651,677728704,358702238,209185103,779339727,338070852,466167453,38748579,592838380,-1,366950612,674941388,950574765,-1,787192748,38143979,41007823,-1,981936660,871647898,264870592,84962698,388101446,-1,819132598,973020964,-1,143616147,213604011,668958875,-1,712120673,378062953,-1,652397889,-1,414634885,-1,647632864,471212710,-1,945628344,716959536,377973270,69570299,647152256,313350659,849940432,390153808,-1,66063569,934732012,835009534,116951212,78225681,-1,55187873,719106234,-1,-1,416168978,-1,-1,531800402,210166714,-1,322326506,-1,396068810,169759209,293570971,321568114,143018700,720074672,-1,226835302,-1,963448085,900212560,776276583,236431205,-1,23211550,-1,571999398,395654569,526781852,466784300,24326759,586597965,-1,528231660,122431718,384039399,-1,338818808,115820794,-1,220716945,515841451,115111323,920474717,-1,424077963,693379024,-1,524007838,-1,832690326,671935596,-1,-1,163799465,305715709,473778584,197572146,932262443,827137873,835825821,107168463,-1,-1,814710095,109915102,-1,17837122,93251632,302725011,-1,-1,657269358,-1,220542477,867239842,928278444,498617461,-1,-1,241729289,-1,50489200,-1,853706017,482959322,938591239,-1,-1,343271690,-1,-1,64427954,192317801,-1,274763421,-1,359433321,302865210,144823879,639296005,473348376,731323966,-1,485480790,788468318,659349983,750301561,349704728,610407017,610961893,-1,613918029,561872878,-1,972921532,-1,132949805,-1,368771800,292719685,-1,451739770,455294770,718372741,935778304,947922665,371087222,-1,-1,-1,-1,-1,302905995,-1,644635735,596701487,647870756,736205992,248227912,-1,290215555,936930591,450455458,161241642,-1,723041390,305062778,342489583,531649344,698418412,-1,210486796,-1,457986401,756928735,-1,-1,-1,501762778,688094938,108486641,-1,611334917,951104551,855445625,296314662,240846836,120140200,21932799,-1,293822014,469097115,-1,757917785,393889921,807255001,-1,-1,738343602,-1,966406633,178428367,-1,-1,221067037,324405560,649714931,-1,137639817,947250056,214036928,261586107,331636239,-1,176556363,655454146,271442168,141477947,779650175,-1,-1,-1,-1,668820050,153014544,-1,619441652,24528776,-1,553500092,158941118,-1,17430119,640152520,358720611,-1,73878160,990410311,-1,-1,824083508,970065117,706442009,74494862,899554140,291246543,134813365,-1,780656805,770242217,32852855,832429177,474041379,-1,271292636,872260202,132938167,-1,-1,-1,771481029,479607101,914550551,106655239,221934251,679669553,-1,-1,-1,-1,-1,934601700,870184251,149963426,-1,717609403,675575206,553210736,-1,71377925,684346749,-1,439177917,952786075,315979102,901685934,417867318,669523293,-1,612395826,73289217,-1,592470958,-1,708518057,359403880,487512039,532729073,369414185,155492060,599651216,182887034,432220446,326602776,949922425,942499643,-1,-1,915086209,-1,137148402,-1,253738728,288692884,-1,896237408,861819665,818969635,302783159,-1,-1,492416584,919883665,793763276,284091027,492154440,225421498,250194083,503238509,-1,391317477,43887881,35488252,974637278,943502114,74251707,565583899,237617622,-1,286283643,531461011,-1,525906044,168676028,-1,-1,983393625,658695448,518238120,309767838,481217047,-1,605077875,819521104,-1,469337099,230134651,-1,-1,892963686,-1,-1,121039969,-1,407949375,142104470,249357479,444216813,-1,592654915,794583325,-1,590875128,-1,-1,-1,649699580,-1,104796078,830811812,-1,-1,902825828,992085005,-1,123122900,201709906,172358121,89780866,736278359,719687975,26965823,924830508,-1,280739121,164940466,60453710,-1,464280859,-1,-1,921801758,962100868,-1,-1,-1,941558574,784288478,790296255,-1,77475405,147521587,281639134,-1,699464225,799009540,907163437,568510153,-1,988718186,596954620,-1,586367149,460321019,593874789,327025952,-1,183812009,610428430,33384260,-1,469424493,776798896,517706636,706048335,750724421,-1,482551671,863201861,547771721,498976993,724847514,551380167,-1,985341757,551443205,341957746,-1,832969700,374123098,992354336,21672193,-1,755806307,320997751,179457153,10836344,-1,860041942,533845162,-1,48433794,535594909,-1,-1,177230203,85660167,-1,848325860,881418237,497052614,933000846,-1,-1,460668567,113418572,861222688,-1,178839044,526744243,687995037,177795005,-1,924650495,392775611,-1,579733739,286158423,-1,998407930,546742037,881154536,571301543,874427099,994492136,-1,681899443,355005656,830468606,967972356,97350967,961971412,93233426,925699689,230077488,584910204,574661221,792110813,535604515,108569500,173498637,297519153,2940313,-1,612726872,985395621,504173751,515996230,455893767,-1,189937986,-1,-1,660564740,221991468,629190781,362567715,496512548,867619599,25313855,719692574,948220502,361031209,431102788,771559185,118681604,100793770,806520585,982760260,797383160,260469094,-1,-1,360814299,850237126,673760273,753800584,691150151,-1,280391273,607972764,-1,227254750,940657491,481904670,-1,66385916,586094376,-1,119550940,505371776,145045574,849751161,170002549,581849898,482427889,826631319,457268056,9975408,-1,304767542,-1,862758297,-1,598040145,496389675,635062891,365179642,475247481,760454362,-1,41615163,280231240,430253409,22162863,589922340,152049180,315619585,-1,733140531,557611647,-1,749376807,50251261,-1,565732734,419070345,-1,129893477,-1,-1,-1,544318139,-1,325478250,106080422,405833062,193724731,372425513,297505560,386563692,902215872,149064198,212074323,981146356,-1,289044699,414181433,180716274,186121446,77524239,550809931,362736699,78727526,-1,417547385,374454967,697628282,946446747,-1,-1,351188276,823180477,-1,238682283,-1,491190051,879454531,422603992,864295495,493927797,752913889,480928059,22145686,698458326,-1,-1,776991572,558029870,-1,267787183,622064514,118329929,-1,276623892,478376395,-1,-1,398711569,152547874,-1,492666102,270537157,838018323,655951030,150208800,357667071,332739732,-1,-1,60997961,-1,282898760,240698130,856051473,724074213,574482673,-1,66567680,57234488,-1,528097238,-1,948587731,-1,-1,-1,462400394,406279644,-1,370375194,621412179,-1,984453415,-1,676051479,505193413,-1,350468223,57391352,947774691,645534767,-1,-1,148733723,-1,-1,858874024,551870229,-1,834115737,14736331,681222769,139330305,815853040,858258582,-1,-1,800179900,319574072,853750443,224865600,728349387,-1,738788858,766950231,748686733,684162273,430084160,-1,840592063,398290146,507123052,898541981,-1,643156059,930493419,233025935,985043918,831779152,166644437,591404754,-1,386060799,-1,55742174,37601463,349769757,290976383,-1,779635012,-1,949855968,634485818,-1,847298422,-1,950525019,459920446,125769792,-1,84257551,474524327,579187058,-1,-1,296878434,99032592,73400832,-1,-1,-1,554366730,-1,-1,-1,867601982,185819758,670749210,788875085,728532682,846849975,201385786,536341968,-1,217487624,-1,385831304,-1,624296239,686078509,675526160,-1,604280183,991087350,909493518,760504185,-1,-1,350556509,-1,-1,119731123,49828379,9179698,591678726,407972305,-1,-1,191763282,-1,-1,735826390,462219728,415372367,244276430,752762322,-1,350629211,-1,686170982,840172302,-1,387608951,-1,431283660,410121702,900305493,265635359,-1,423518694,-1,713166665,618799103,790968872,821201487,141731035,866064253,182218377,952998513,-1,789831603,266060097,-1,869254427,420838411,-1,-1,-1,872495402,49000918,351395944,592003184,-1,636253094,-1,-1,-1,-1,690263042,-1,125609853,9632629,512544506,-1,271410617,292212586,-1,357199492,789145742,758200955,845254176,-1,-1,69191366,-1,-1,556482114,921373736,469505761,-1,894221984,14878866,516430708,722125081,44538418,8063479,879201960,-1,342690970,786410330,852132671,139519621,-1,645782454,175594476,38535795,574053400,-1,-1,-1,-1,366554318,394085090,279292177,-1,252971832,595734126,717046234,18299865,159784991,801228629,835941323,670574678,476915578,974939927,-1,-1,596649152,238817952,183325522,-1,2713764,161606875,-1,-1,666621770,171910796,-1,228967722,-1,-1,938328345,549521611,69601331,674669741,434247986,-1,-1,864420585,929784665,378284842,-1,-1,65340653,636763621,-1,30512709,390247798,124265188,949735197,502671997,738104069,-1,711583385,673106688,738674782,559833690,215348658,87604016,-1,-1,269049269,445767776,378388263,241520257,941357796,143541993,-1,-1,537241687,976592176,589859837,625355178,547954344,564827357,728337472,411179133,154824792,164113303,399198654,390653117,760551764,829414547,747102986,260165576,620416158,250065381,539667322,64777422,344518290,97298302,882284977,60018059,-1,775274434,-1,250870666,-1,-1,688278050,-1,379176705,-1,-1,-1,718806737,485899605,211103153,713566050,642665602,-1,303981229,113451235,-1,674088784,759526101,505023360,-1,-1,-1,-1,473265228,775054839,973732446,-1,-1,768642701,290156763,203785941,319492643,-1,458981429,158564274,-1,600067657,-1,944604304,-1,621310617,-1,-1,541038785,348550368,788492521,261394403,219334806,105442800,91821932,-1,348689209,363036437,553705680,658942068,147482869,852191686,-1,89822037,786069720,-1,460140717,526882369,952912186,-1,127574349,340620851,-1,699798575,-1,-1,331111456,419228582,267336541,721328891,949493931,346251408,916040800,-1,492990621,-1,414805251,466025396,-1,844034672,647190031,134297604,775279556,-1,399609390,-1,629957208,337596496,340876129,-1,-1,993526926,483855338,159075286,391082205,672987702,868741849,-1,266300537,1782594,-1,725069607,-1,-1,378667622,-1,569809348,969534252,140277049,-1,619479924,966374294,795757124,-1,306925853,374446805,17779233,428282001,-1,895692146,251484736,215350437,-1,-1,-1,-1,180621486,-1,826804300,781084666,72634154,932690545,530925739,-1,-1,231781240,-1,148567736,289349884,725145308,517650292,427833455,563504876,706673858,526985902,901737364,21185385,90271908,474542658,-1,851485032,339755001,843910371,996468591,217608780,526216748,840896546,615126157,-1,-1,-1,314225425,808828923,-1,945366188,804500569,36592857,-1,-1,696447430,-1,-1,-1,742599284,485886479,65104311,-1,19374323,-1,563429856,700845458,-1,181419530,526027245,667282761,473627894,407394498,394328276,233886635,92847226,-1,624289546,454403137,362778479,-1,847675722,-1,42771966,273873479,169801327,-1,854481067,-1,-1,-1,-1,78606208,-1,-1,254814280,-1,-1,-1,-1,760360468,454864803,470914369,647150470,-1,215033875,-1,970987748,431738692,374510792,659482484,573159402,-1,117231611,861574110,443664456,994436606,537226353,-1,595656408,42920443,813822974,-1,510640869,-1,-1,120381530,-1,-1,732186438,-1,-1,907679449,40206908,50667013,139574944,265140165,-1,646800288,64921400,863932628,686843642,-1,-1,736567108,314316161,-1,129325029,683450350,-1,547390798,501395618,633639047,121295078,-1,299536059,-1,164350249,411961602,-1,182553195,693732788,-1,89350853,410932043,-1,-1,253124514,847014609,346815576,572335477,-1,223568487,161670645,283908681,-1,73435025,-1,736919285,980564221,562376175,467011998,616323638,438338431,338256148,-1,672230682,17134053,65196609,-1,973633278,416905163,590634477,528933173,-1,-1,-1,-1,350976331,909106304,-1,998864653,869707165,-1,433528503,323578241,436152501,164867380,-1,698768704,934861967,600820282,-1,990955047,780487967,605430559,757026269,421550481,347225316,162612897,718767693,-1,89040345,893883964,188006388,813227867,794230045,521426573,784216080,542295804,558368005,171696720,372450903,-1,880226053,-1,336735893,660432413,181604037,493184941,-1,-1,36133377,688075965,285757374,970170763,58470121,368997218,459341926,447741146,-1,419185784,654530937,232385366,205376562,375624818,957351447,175866314,535830476,-1,364462235,948414926,463553438,-1,-1,833446211,224111968,86557072,-1,-1,580690313,-1,344631847,-1,715808833,61206202,816092059,899678202,-1,-1,-1,506613461,794764452,-1,485160316,723211587,687430623,-1,279931920,-1,910110399,-1,112160888,376062416,528633966,83902044,36881900,702065854,579259187,-1,-1,903803378,865777666,-1,-1,-1,550830768,-1,900542956,489236961,415133890,-1,-1,-1,490136567,-1,253385982,910126578,633287127,952814392,452656314,158531529,101370659,-1,890986353,-1,641889377,683069732,176494820,768740367,34959418,-1,-1,450675023,187179392,258017563,956584179,274292130,-1,385331194,-1,-1,835161005,-1,-1,217612010,28891317,-1,563610845,611568230,237091876,289397801,-1,-1,739129923,557051009,3118147,643088845,738876822,-1,822979183,-1,190188368,-1,352119517,18141975,118540437,303013099,647637362,363679860,768282996,671170401,751791891,676372698,143816996,941033256,-1,133193216,-1,114311518,396551121,467565884,964127206,-1,458745149,33791250,152501712,408095287,-1,-1,586445897,19992230,340221474,95365,-1,366925824,-1,-1,323321885,-1,146373259,855782698,276848072,480238398,193471902,5716601,129114408,-1,891498198,364041071,498406008,621299190,-1,445175732,842380791,334133124,-1,131713919,845257620,866844661,-1,339056643,-1,-1,-1,-1,-1,788252403,833753334,-1,979593501,-1,-1,848672168,-1,-1,129149175,249162847,-1,250484143,103730820,-1,-1,-1,531217062,786815155,769723233,-1,-1,654325460,136721294,367347430,-1,633335696,343320744,-1,-1,-1,65340539,861016639,828859606,569813328,705191344,-1,787551401,152617495,851744270,862116529,-1,470865678,563612635,-1,328551147,-1,-1,602967812,785899863,-1,818124654,-1,489699045,216374950,-1,791454435,864029040,-1,-1,-1,-1,-1,-1,159862293,514519418,90498196,989908272,345020633,-1,493655785,442994053,418087212,214571897,844883794,552737436,-1,444072740,882717564,-1,98593999,109981793,-1,932507410,665849035,755824,308581364,791132324,-1,291054959,280277128,287746016,957302512,192722557,789577163,885374559,231716424,702310504,855160109,-1,-1,956190607,641290284,974805545,234742809,-1,711320695,28111530,621138259,17163725,-1,698880241,802608932,382607786,193265425,-1,-1,529587857,938634039,-1,191630298,498505353,200594689,569828458,-1,971715332,900263945,-1,-1,578889238,-1,65715090,749461643,375636337,627160240,846230715,696327656,105755288,204447567,-1,999720592,187593811,344159456,-1,505417688,-1,450814943,-1,-1,-1,25612357,607031172,-1,108121401,573981942,10236285,-1,-1,-1,951329325,-1,-1,929845916,774089394,-1,360011258,-1,-1,21292830,293412497,-1,-1,360688928,492530518,897941273,288920655,221487216,136820259,-1,83174785,-1,-1,992363670,511182474,196796078,109277351,826254431,360804744,580780509,-1,-1,571640375,29607695,739865532,660331277,-1,850540939,671567373,663943128,-1,764717764,68709568,43735488,776061679,391136455,814755368,-1,-1,564590031,75814086,120096435,260256830,140901272,901685787,230417447,8890381,513609845,688140301,-1,111194747,465872925,17231097,807031012,454193933,732642012,441255059,-1,649605125,-1,120461791,749074121,821571947,658563091,38291902,965056062,-1,-1,38177214,658072105,-1,-1,338547545,926019220,558581784,652260524,200073438,-1,696916965,587926617,119639282,376949900,934439853,514114930,-1,-1,-1,103299886,948870755,233266047,253649477,786672575,328961088,742239700,519789984,214291961,-1,556534985,-1,753421408,890021271,972076010,166420642,-1,408847573,451476196,863797578,-1,476986577,324451879,-1,24781124,958411579,-1,-1,974812648,13988070,809102846,-1,-1,167236294,-1,-1,238550699,9908602,-1,280558642,560063386,755083668,-1,957773007,-1,614716781,319222029,974432377,989564129,-1,-1,923463290,-1,255850146,222489237,194502411,779194931,947517067,674479696,497162338,262101349,567884973,964813803,534712293,-1,-1,-1,571936233,-1,-1,9173529,519410248,39445435,170194879,-1,264096711,496194706,402777082,-1,889957299,995589682,315673030,741282640,30316888,-1,65508451,307217817,-1,337124264,-1,221606655,938504853,389736327,-1,106282563,859647431,2453971,-1,964837263,570158015,598355282,-1,-1,-1,994191260,-1,-1,-1,835718377,803957410,390137559,629207030,87594135,18974092,-1,-1,993735403,441555173,18655531,60096217,-1,569702296,278152033,142802426,-1,368777876,382966758,920612752,933634627,180271100,149537475,969509548,-1,-1,-1,-1,10002641,-1,851645147,444868753,-1,-1,599357029,569967276,-1,545179811,935756922,827002236,-1,-1,48310052,-1,-1,593323607,-1,532982413,-1,-1,83855944,224412473,752880203,269560378,556945133,218561222,-1,209300875,584012738,774699851,379821824,829925168,-1,804508041,435753869,-1,278554023,843911353,57057512,-1,489175014,447422378,814471996,-1,390692002,-1,642246018,839453168,-1,-1,278781213,85951361,-1,484403358,-1,481870444,592255229,39859091,33853735,539737351,-1,999808968,126977048,785086024,-1,663677381,505566998,-1,459245910,-1,-1,-1,217375095,139447098,-1,-1,83041983,-1,-1,-1,363809294,620045178,-1,615365901,293808128,-1,152318811,878946862,560798893,833778689,-1,8147260,191870234,311868228,-1,-1,999508450,841491914,473526755,-1,25411755,-1,-1,821294404,166758161,474811624,-1,-1,137937224,152773807,697578888,196617345,831852614,371902208,948408707,-1,945587761,677113908,-1,508912778,702171422,-1,84715156,541074036,-1,483762141,62569425,333129895,243518731,-1,933416905,-1,319767691,928059535,-1,-1,-1,117175083,32450512,823571115,-1,-1,612646531,197232407,-1,-1,-1,-1,658732170,504813832,-1,581841728,-1,269615470,666645385,166030274,847908210,52477319,39917608,-1,384063016,4104995,-1,-1,201426079,150684761,460415921,-1,103886802,-1,885973346,-1,721824797,302888153,36110571,684755668,92148825,801659229,908847039,580058516,483826040,380124767,-1,-1,168027299,-1,644367542,512242293,467829304,633782717,-1,240730532,131147214,40876332,917027660,-1,-1,790785524,190095575,-1,206043985,25793373,-1,-1,-1,109634953,-1,-1,-1,652831304,734437591,192651725,548416622,361815144,209487981,449909005,458075514,148694379,-1,132588413,-1,877838671,-1,686255328,-1,189212725,855509486,-1,718914560,274306526,971507755,900609701,921188323,-1,6500014,852985159,498398996,-1,-1,-1,205194558,486962523,203722046,764960350,999633780,544123794,-1,807363136,111799665,696154431,-1,960181358,801510223,205880081,621627971,-1,-1,553863216,148136283,511882798,802368478,68994706,419940093,381658898,821780444,571297133,206256215,130080515,768059045,221641386,-1,874762977,252119022,130557128,-1,718289703,512138624,764170379,187657926,221673599,83242719,-1,799023476,85079357,439764185,-1,151767991,147414757,-1,257670531,45106647,867345315,281685538,655824098,-1,-1,962263884,-1,723418985,300033715,764646937,232810117,9947061,-1,327666832,169538118,-1,530832921,421778718,650705491,364777294,418582154,-1,-1,-1,45137996,-1,387783166,255067265,873374995,42265496,759758750,140197664,-1,253070507,983082257,871859986,675536446,96826405,31579530,750605950,745912616,341196292,448054111,301696013,664463336,995438248,430646298,667142081,304937932,16322569,-1,219293258,-1,-1,208407704,547087868,-1,725035003,417078131,742199013,-1,-1,409823514,534733585,731390353,887024477,598930981,152868042,-1,-1,-1,181278012,279055496,754713077,980759184,433009900,-1,320885173,869736774,688191585,183540144,-1,-1,850461213,-1,867395999,838797284,-1,337499592,-1,648212025,-1,814692692,977527142,881035468,-1,675618949,145096739,839523436,466551671,-1,866389635,852787084,57122570,934641278,544413404,-1,714744033,802682400,-1,-1,-1,-1,828558721,958682095,607808229,508598442,626771647,907380687,687826943,895016353,25636051,-1,854148429,750828044,-1,832053306,596222484,454739799,626906206,769052415,-1,293307690,137964258,-1,571246420,529988528,-1,342517399,479335590,577981802,-1,505252790,971049914,-1,546339277,823474206,-1,942004639,765222929,187653456,144344884,13644597,974888943,-1,85736521,603207649,85003787,-1,939815538,-1,671368480,-1,747777782,501942584,172986286,-1,-1,102021161,874074333,-1,-1,-1,425854497,641885676,46190162,100221829,56112165,-1,338561059,569432414,764764155,-1,717745601,-1,974448543,21468348,705668717,871273520,-1,940076838,995807406,497601100,594811780,-1,502919875,419041240,223896665,288161424,686899367,49355787,-1,-1,237259298,208516272,653206065,-1,809023842,769914462,410316527,926007760,151950294,-1,-1,411429295,-1,960239690,-1,-1,293268667,610517990,-1,708385326,-1,-1,503565104,-1,318804495,818585532,707894378,906846032,648388092,894623270,-1,-1,86239982,467431031,327850797,511648530,867464381,-1,-1,550816477,801847612,-1,776538503,937466058,692923751,850298975,205873580,454785864,-1,242781070,954948192,223641390,787194929,496897767,255622679,641803517,787335927,253534823,-1,-1,613513747,-1,266899993,-1,650296197,266556551,898361232,643457388,-1,-1,993900999,227238938,592749397,169110508,301371977,-1,-1,358429452,462367281,855469611,934635852,-1,530540439,305114986,287618799,418620707,252543760,67810807,989894859,255887060,681321328,550059380,749743544,-1,217325851,601457699,868812366,494025230,714042191,355359921,-1,255178077,762538345,659432497,850253934,120699187,265420542,508320045,-1,792988854,130661332,395822387,799700242,469827985,185492180,455025901,373295053,-1,-1,710907097,78914831,388813624,192777041,997767140,135840734,867569329,835239840,-1,-1,-1,924044362,428092754,196406970,-1,455163861,745006258,251485120,-1,216019761,-1,718381972,-1,338320871,95554164,504895632,376832759,948180414,210045201,-1,795488964,466480166,659771595,813366284,-1,722536688,255424940,77214770,380494615,472926188,733704346,-1,912430795,-1,518958486,693260671,779721202,55296351,133411318,-1,-1,728911910,-1,461601908,857889120,591598053,600631116,-1,798911078,236457857,139842023,488278914,-1,535774554,346993118,835518825,427681441,-1,-1,41728861,581188297,-1,3457511,176475711,974336231,213905968,-1,-1,728333381,920609975,-1,223110161,967602306,410838852,69296729,37071344,346368199,64421188,-1,649613661,711232113,353515878,-1,668033258,-1,-1,-1,87893879,969563467,480648038,798144657,-1,-1,264761415,110853375,-1,619285252,646150914,-1,530448147,755488528,175873109,864686941,-1,580739678,817195098,750003529,-1,266578800,-1,220983048,854138664,296861778,12674673,-1,722403912,652570277,685449730,145458443,366389641,645060995,690134321,-1,277850960,332814324,-1,416036917,711842909,-1,974170924,585321129,726414895,-1,809556229,578778137,-1,-1,-1,-1,-1,264606900,341211616,780589962,-1,175770714,467100150,-1,579822338,940403110,167339777,70089449,648406851,-1,-1,46911489,-1,101668402,80008403,-1,-1,-1,715096228,300329466,10443825,-1,-1,562768601,359238207,912012954,-1,217704778,836676548,-1,27787502,735125191,37830132,-1,348983524,676697332,756752562,-1,643981244,652338013,941277662,490360037,46113635,656483608,419032569,466043147,5204107,694209521,-1,-1,719379941,324240272,470056832,-1,623283552,-1,-1,15735121,892358115,624826358,652546111,647821769,491261131,286289936,-1,462696365,-1,713132709,540265106,890205681,947114501,551811903,456477179,570100671,-1,16184078,137670953,-1,768225368,-1,257037825,11799883,-1,431422838,419411429,696229392,-1,7269214,325319252,619780389,-1,935126713,922648644,-1,915517253,-1,-1,377140099,177916971,-1,985165296,979786038,-1,732504917,815033346,700523281,613240865,-1,-1,363317266,161815244,936518686,334021890,849714411,627614001,-1,170525155,509092938,191367801,394106927,62316895,-1,313670735,583623901,-1,254192848,-1,-1,335963167,-1,817098016,591646183,561348866,915738257,-1,213423941,306980722,731894206,975189858,145373477,214952319,-1,53458618,243836628,-1,340447195,311497331,441250282,823869444,-1,492909322,361636463,360926649,126821061,825496581,690334152,544151298,-1,865978086,709824319,488685624,550946436,372099443,-1,-1,257858391,370783436,-1,365136445,787845637,109681191,-1,930528951,299240437,-1,306820063,-1,766218260,846796550,934122688,-1,-1,154439360,824292483,932894213,146200477,261190523,4028104,433524335,576142602,891669905,-1,288352049,-1,64370358,120916380,852894926,-1,-1,920487300,865819067,-1,-1,-1,198064613,-1,884617077,-1,-1,-1,527591505,296699056,-1,-1,379538872,246629319,43343638,501547556,887415084,-1,602211653,789337465,64051519,674099145,574163687,276312664,21077702,835479805,232324761,-1,396586017,629386251,357160909,-1,874597138,513813969,882225480,615557486,910610783,239672256,563957627,-1,-1,-1,780456463,-1,-1,540846613,88210420,-1,346212907,414009916,-1,302929275,317167765,208971269,-1,490444004,-1,-1,-1,470036561,458847174,-1,874767922,746946100,617734344,870709603,423434899,15860146,-1,601080179,597580321,545516185,865416183,432136756,336588709,429854642,785081550,-1,807260432,76343541,661504797,27470899,299204120,7406223,309454199,157468060,260984519,888322208,824392454,212388252,366212835,597938024,511037448,-1,614677048,-1,249848807,428719059,255137787,902076238,-1,840174370,280431522,529648757,522225846,-1,563283669,741978872,-1,879940659,-1,363722980,-1,843866553,354572149,-1,-1,908537173,439490901,-1,312132544,-1,45709072,-1,22205169,-1,277652728,945585388,-1,-1,-1,-1,-1,-1,94228930,845570042,-1,-1,495313604,988005487,-1,523475065,-1,801458966,-1,925693832,379386185,-1,953905763,683296075,730431496,346703362,102102906,-1,263207143,-1,737028538,958087941,-1,-1,-1,823911394,772472056,276063689,364948898,-1,868598416,-1,82073146,105389591,145328949,706880401,307155266,769833296,582596515,771690147,-1,884153526,14822334,875335380,692409762,-1,89271399,174645630,322637814,225934459,837651871,-1,995641019,427245126,-1,230569547,29836271,114958590,506655072,55572521,804614034,-1,350952830,-1,702041365,-1,-1,329325227,-1,-1,-1,702884699,417326997,304087021,44916501,156868976,640768067,-1,-1,749198943,698762860,60809094,299545336,-1,891315147,-1,-1,-1,422987161,662406418,-1,633272913,599488111,-1,299605767,-1,502255411,408571535,-1,404808977,-1,605501632,596737444,782304764,930976870,504067458,981570319,-1,659918,293576761,-1,238243795,100904343,591182251,64677670,-1,-1,-1,739605437,842769560,128519150,78822133,958446095,586762166,-1,-1,354670112,955832996,-1,494704263,-1,-1,556091425,437070950,6594311,-1,919196963,867252541,-1,32086321,606779002,279275162,696806256,714704563,919148187,801839380,665415589,175669811,-1,842406261,-1,444111393,713962638,-1,-1,275120069,443900946,189879805,-1,956960366,144411254,887242332,-1,651523255,480808345,994366481,-1,480467963,826814950,-1,67765723,633296782,575047362,-1,287458919,558407855,914616097,250676749,858908294,-1,417823310,206188387,643092007,503377627,998254666,972473373,965983056,188998892,501370219,637366019,-1,31971042,-1,-1,757826840,557192868,187438914,-1,-1,-1,20317369,-1,899627131,-1,-1,785464473,36829393,-1,928118921,434922934,106535502,824620576,38826817,210371589,637432153,-1,-1,-1,202647219,-1,-1,640895858,82326664,829702697,189557728,163235396,939230767,594172927,844493030,-1,793574923,667124059,969625738,447938185,961215498,-1,608684988,594150175,552344125,466264550,-1,309906382,426920770,373736085,-1,943118647,-1,759529567,760400769,211530563,653437938,-1,-1,-1,670468734,113418690,499969169,463565154,891484704,252566039,262208807,-1,528949701,-1,956712565,814686677,255905151,101941901,967451083,729246541,756700784,65051420,101743969,893261912,605307290,260180587,708287645,375316104,-1,-1,873836775,-1,365947118,221086610,932766101,-1,413297020,-1,-1,76735711,60620235,295756015,-1,-1,540383665,234776827,263014078,723618136,-1,-1,632493125,-1,71837216,416844738,221775941,-1,838097957,58037801,-1,636617636,-1,189551207,335679462,-1,936216687,317749125,410024861,302063259,-1,641129273,845874158,183061006,-1,302455171,36964605,258186294,-1,58661634,820259200,172964269,174250127,851794648,322613200,931392414,-1,346047231,-1,500047390,-1,430032085,-1,398584511,353290204,961868715,-1,678943403,415994036,765508440,-1,424749053,105957794,981976402,194369677,853114652,90277459,-1,402551807,-1,-1,-1,-1,-1,681208244,463646705,506293189,564978687,-1,117929861,148282266,-1,-1,934576190,641294052,867499505,861273200,414942873,773066557,437603701,605617534,210373539,-1,-1,487741556,414352846,291703835,482640341,475657097,374039370,401141829,-1,-1,979540295,838660172,671736063,591439101,189821692,927821385,-1,883284960,-1,-1,802244424,4556444,792818288,501241320,119061434,303042622,720429152,892485854,-1,-1,319871790,339933603,-1,200794612,55998331,328050041,706408370,134456265,819568811,-1,331947281,-1,-1,-1,-1,-1,862485448,62593020,801194273,67498029,26143559,765338979,138148200,807258742,-1,-1,402877985,511229422,898949168,951199205,799174368,457698278,989790328,-1,66639969,152160489,462369035,-1,625023322,565491676,264676501,393677906,827075443,947168591,-1,-1,579499709,39829781,838362376,750156425,339221251,295083104,-1,645815153,811449099,435803270,93475093,838353041,996187134,-1,278790581,-1,386316464,-1,-1,590816036,845275057,310260928,-1,-1,-1,-1,448570713,-1,-1,629090607,86163806,-1,647887704,454129069,823430870,-1,473956619,537764588,731540426,561026685,280138707,-1,214956972,-1,247092741,-1,839101150,330008816,177453541,954059203,-1,-1,941436987,-1,645918349,890371457,-1,665600276,127265233,-1,247205542,720509345,757955272,-1,360331057,-1,-1,-1,527369092,947729480,234433708,-1,466292029,314439378,-1,-1,619712708,312484285,101717050,-1,792002244,-1,-1,281958165,-1,825624617,33878674,-1,-1,277800052,939155176,-1,482806905,-1,-1,889643421,-1,149690030,-1,542636955,995967336,718539945,-1,-1,351331058,523483340,372440666,-1,599281074,-1,41350164,-1,808737064,-1,896652510,-1,940007164,879071130,53101174,364446855,471915148,-1,258294421,899108639,-1,674152243,115320485,763829300,727816824,10490836,402427028,319178832,-1,411951079,-1,494407109,-1,-1,-1,-1,46074814,109714383,-1,610332258,641948929,22549253,-1,-1,-1,-1,998341720,185858937,16591829,-1,377474859,-1,-1,-1,-1,-1,659254112,816997473,839994365,977999803,-1,305272916,788867044,499148043,97515571,31888304,415717929,136630813,240160518,-1,793591692,-1,605549607,-1,354018072,842136654,-1,224169881,772262372,57157421,801805030,-1,372321721,87308913,978730452,956103489,-1,976565677,-1,638213956,682149160,483226641,44330190,29169901,822212137,827051415,13698666,302217410,-1,-1,228217731,-1,975090805,-1,522567502,95525027,865328256,338906670,761559189,463982460,752055504,-1,70969925,755351305,-1,881201812,-1,236559984,-1,-1,513447283,101021319,435661248,-1,-1,-1,764776986,-1,-1,655549368,-1,357895652,749820451,-1,680855393,298950466,572792700,-1,182978284,760297028,520089769,242806103,-1,570626198,692484686,306775985,-1,106888624,771652063,468380219,633676197,349865126,193656034,6210184,-1,-1,652331711,864392136,870538374,380496026,-1,190119553,-1,-1,-1,440304159,380234244,-1,591701282,-1,-1,189121147,207002711,335284071,857944440,-1,374897029,986907605,819424908,261578064,263156876,573798266,981770548,-1,757817899,750971570,152534322,60882380,31266285,-1,952543099,656251250,100684772,-1,-1,170101736,340175486,872024452,-1,-1,516860799,944654918,586314128,-1,429917215,345655061,721896665,908871989,-1,107808216,351567643,-1,464749938,-1,193416101,434913574,396864253,870909316,262037531,164012603,-1,819762956,-1,-1,609144720,371465437,287632706,-1,-1,570693603,333292038,-1,622208374,91531338,-1,167624391,-1,814220507,815263688,-1,906165173,277734568,381789146,782928644,590295181,-1,508941891,659625655,977814129,29613800,170679975,178123624,-1,36575848,427678539,-1,628485425,83931213,746899531,8875305,383094224,494188718,28981852,504608019,245125333,765220180,-1,796261926,915049576,-1,508375970,762476131,-1,275377373,488610513,910001749,287573005,681128904,971993006,362440848,486802931,397018363,-1,-1,-1,477144454,-1,957553741,374009361,-1,-1,769775391,236380918,-1,289748036,132004123,-1,822048670,-1,-1,-1,479481961,391102656,234496063,840382478,-1,236195448,-1,-1,134296299,788491004,948135075,-1,-1,878116814,-1,-1,824265465,246069004,143306958,406526084,985836066,872496890,642027150,872791751,102449815,667466120,16147636,-1,-1,631428491,-1,492260069,-1,527696016,303993000,293621610,-1,-1,284044554,115804569,894340496,835794736,898887565,289945071,781747602,358665408,-1,147321964,733318455,-1,-1,-1,874465171,189555971,543775511,859082739,136150206,924503644,-1,976576920,474981887,734429402,887218449,-1,613141404,757043894,510181717,110236976,989282895,-1,575450601,-1,-1,120167971,-1,575117508,619355216,873590760,966300953,193185807,572818886,260221791,-1,-1,254506092,-1,32353453,-1,-1,-1,936754038,910225196,28683837,135437822,851100410,759296749,-1,816738422,697145904,-1,714926631,896316441,487851615,905608227,979128597,425242332,816508043,-1,277858034,412519766,839845770,-1,168042082,-1,504095263,-1,-1,773423924,199525939,923516652,36054515,859031045,685376666,-1,924700702,572867858,340140560,529183451,-1,-1,-1,84033670,-1,-1,332921302,501115152,764087243,359219666,644961090,275945728,718109223,969152204,152008782,317963205,633117576,-1,985437802,153239663,412130956,540231525,890318073,-1,-1,-1,774709799,-1,-1,316323868,550248917,406317813,-1,229028213,915076484,394454264,223297369,-1,846019258,-1,567001060,518783500,-1,21824362,192984635,375691675,534251276,629095495,77660826,38358399,111444149,362153458,241540867,-1,-1,60894758,775300200,762187092,206685391,552478904,231272821,306723937,953102601,991244224,-1,-1,-1,-1,8455474,-1,807106534,349628076,-1,460061897,777410132,479628927,663681786,277303848,-1,668860062,695287213,-1,676821624,-1,630653519,96008383,396468274,921549212,434016629,17928512,513251032,-1,-1,-1,-1,-1,628507658,428573924,-1,514481551,593652663,-1,180890233,-1,205486032,-1,908413821,-1,70585667,549858359,455588879,698639459,603789002,-1,99171532,774664267,558905439,428913220,-1,-1,179852778,149947107,2860171,485999785,798721732,950164327,-1,221681617,-1,-1,-1,-1,319338175,-1,292764791,737769149,192655321,60384441,407366569,616988784,206584746,823875003,442317302,-1,37583242,167919030,-1,893914147,699616072,742816500,-1,798977757,457936514,12664105,121686904,768359944,267849253,493482277,207864427,-1,198084165,311324292,462165495,174207537,847636108,173923618,-1,14484479,-1,-1,399187051,-1,655110159,-1,838350871,142484266,151245452,300447095,-1,-1,-1,406886584,145344729,921589991,628145107,558125910,-1,214706695,-1,-1,771129197,-1,784671467,-1,355025284,658376059,435017764,507702893,663726341,855174631,665140107,-1,186294306,-1,947414474,-1,249590206,286690421,-1,507224522,-1,903657235,419035179,-1,739237236,105291046,462769180,-1,444182752,-1,24360105,-1,942180483,503086311,752416989,823970624,575449974,-1,355054099,618224208,-1,926794011,374106226,318463936,188300676,161531488,125302441,-1,491039246,420242279,427699102,273234346,-1,916819168,702413357,25494220,714074114,861351536,-1,-1,-1,760750918,310310907,369593618,145483556,619610494,-1,-1,190810165,597600547,92875568,649275097,411486881,874080056,-1,637858974,-1,675441339,921637681,225309572,-1,594755962,-1,30850309,-1,505346925,318550977,162496012,-1,399326275,-1,397083228,181383299,658184986,790317672,287635890,259647974,734529977,735251486,250793394,74738421,-1,415482319,189316408,786846550,981852942,126177376,32046556,33197150,289139757,250900802,-1,777347353,182076422,587621290,513059193,408988215,580275499,995856676,154363284,467065854,864545275,144062309,295670316,-1,432869674,-1,-1,401137067,228363432,-1,398266003,320951840,37570553,303059420,641721471,33429192,925538515,853288904,938409332,573072909,-1,665862853,924221873,73809559,174820869,625748073,547936481,785852900,233191579,-1,-1,517003162,-1,340713942,937274786,395535436,466341208,625930608,-1,537282064,-1,600704931,-1,62635589,335235934,-1,397294010,664456468,349459428,689309008,9295428,425596738,785843331,26550543,118201976,998742772,167004959,758367251,282547370,342524379,983011841,137734346,91557979,-1,-1,541516553,63425060,653114778,297687248,36055809,587811899,949388237,269244545,614427757,983010870,624974765,-1,953461701,205978081,365901458,-1,751146972,-1,699644915,33149922,445829453,227026507,-1,-1,-1,305037299,389214831,62840959,267435879,511319692,-1,442503942,501314821,558970592,686479887,686270409,872527774,-1,845763021,872578251,432483237,523484598,375430756,233571618,975035973,918974277,575561042,-1,815795627,858101419,693444006,-1,226656493,847661327,539649972,385893051,-1,613123730,116419222,453081794,-1,999202640,697024486,751078821,112025398,167176999,165830237,55006937,90922056,754953083,186215007,532475691,571641250,-1,-1,328650620,697772660,491796727,418271695,458276837,354336661,143427119,-1,564496804,407546726,682269679,740874636,906126759,-1,39794322,-1,91451882,225088546,534245233,387967628,553325190,207464718,-1,807568253,578492371,437449961,206394534,4777234,537948934,847453212,720404937,89960516,328182262,723219337,117474434,322684416,977056502,-1,801106444,483683512,533085721,935283181,921605425,221518070,-1,-1,684149620,332869617,-1,161193407,600314362,461785253,198271608,320147605,-1,181453540,416286010,586040099,86947516,936099042,449879727,76020840,638954930,859799436,-1,-1,-1,274565081,-1,-1,802968498,256413677,177819004,-1,653034492,537706164,967968011,847447700,527081445,101056995,240444744,832560889,-1,551820652,866607047,696173044,-1,145986764,980675208,-1,293876665,612642966,841732817,952141704,-1,-1,-1,140372288,425969425,896918555,906652769,477887503,729927407,415972157,327833438,648636090,635481166,-1,563756035,-1,-1,652573544,-1,917041801,671776593,876578523,983334005,102878749,999031096,254250968,707598957,119959229,86318478,-1,722719706,-1,893245392,123428464,-1,799571278,615786613,207753136,41273883,617206765,-1,641219609,320546145,-1,370409572,783477602,283431552,881628522,342689898,513003098,830504391,206859994,-1,904050131,988368391,-1,585906442,326172032,211581873,106780961,12445041,358503903,415595956,129957826,-1,-1,788954187,476382374,-1,211124951,857909139,373261427,699243024,315534433,-1,898881588,675234099,994549733,-1,336326352,-1,647661332,273444244,704193611,349865999,-1,-1,336794798,143617137,28123186,771815395,-1,480138706,803311774,-1,571408622,663400706,464428071,-1,23952629,507295788,422046780,-1,-1,785167886,420228218,403603845,229788302,-1,-1,926491547,242634536,680877433,623032045,-1,-1,-1,-1,-1,171013948,660594934,99846145,-1,469291976,535981764,-1,-1,929522620,652019575,-1,471978613,-1,-1,62022964,-1,400542495,837375887,-1,253561954,-1,328160591,1603472,704841209,-1,-1,48673825,-1,915977538,220454622,-1,-1,-1,88163680,-1,-1,-1,183028168,449665706,990104112,592434338,95049898,931655419,-1,-1,441692129,912459456,-1,-1,323130233,867292477,904389162,344390814,755975468,471103231,-1,684867674,798183089,697706137,550710059,826191695,339595674,373535087,879602571,707749307,962604693,189977158,-1,49766267,358793156,-1,471666149,12351044,791403981,901028076,509465275,576477285,332004598,383608950,-1,747297503,-1,-1,51427180,733114070,-1,683514790,45795987,940313667,404945813,-1,648489817,768363276,679536138,-1,101425803,314540197,-1,835478273,-1,-1,-1,338170601,-1,781973208,53733954,946554146,601963405,699208248,-1,181775990,108792324,505706220,413392211,-1,994877902,-1,-1,359691628,750958865,-1,-1,404088490,609626359,391488071,-1,435608058,46169818,-1,122978782,224763374,555322601,784328116,851395252,-1,427313074,77836165,883523689,486749604,-1,11715696,-1,421459462,-1,-1,117970200,542744617,434909261,284215465,850416973,759678815,916068698,833055913,813403452,-1,245719063,250873935,457122252,-1,-1,462717383,89549104,267525795,612673922,386046533,109783443,260753334,756202161,493871248,-1,841834185,-1,151158175,778224188,165529815,-1,793359989,134542025,-1,23231986,951184108,632967145,-1,155950024,-1,405632617,322536736,940256925,496344329,-1,870380931,381867545,334612195,734620091,577936219,504715044,813851888,102548793,46641586,58481255,649837179,-1,-1,965261032,253277892,241752855,899767479,-1,586992393,714128069,-1,-1,763153184,86775481,-1,666656664,325284587,-1,936076657,937509897,99400415,125341693,410919088,376035166,544428718,-1,277260888,336214035,314571239,664111038,-1,208403519,-1,673167554,800677886,826331080,-1,50916769,184735539,-1,807885241,551832075,344167390,707937038,815086663,21436439,532379413,60220991,879001055,683677330,562793146,392640898,340099501,708712050,-1,546244835,224801487,752402498,-1,-1,39013026,26691246,507503143,498539032,126579892,935045377,723733441,-1,644841804,545626962,778828145,658102708,-1,-1,154754806,58979539,275993078,582832119,431895735,-1,-1,154754583,463935452,-1,131986355,307425857,-1,563464296,863066943,490254656,602977643,331271680,269481544,893119787,708790226,657987918,383126440,-1,748271691,896294638,164080876,-1,780452521,9234198,908446358,59096947,151585241,413791514,146900557,299131810,116062813,450094899,-1,-1,857843411,558169594,-1,947571382,78119784,-1,595314489,408239410,-1,840311289,871707464,524373578,389162620,-1,896637234,887387263,675258802,530100819,919982510,568729407,204137616,371889947,758349037,502799881,595470013,-1,-1,236793418,-1,-1,-1,-1,125359217,190121332,174655756,-1,138830842,-1,-1,-1,786515725,760728244,145882218,876190879,353031485,138138811,-1,325746532,-1,-1,-1,735701208,330610150,-1,536176929,788756722,550939690,-1,-1,432137156,689531692,-1,-1,60079110,884402136,-1,442394258,20657014,332417826,613287989,-1,-1,808375454,945636356,-1,-1,492368410,237859923,85444141,782285905,290107095,-1,499381482,664881333,-1,215277933,-1,187362342,585906238,960116292,808443969,692187037,653680975,-1,-1,-1,197526554,-1,17970249,536564562,282979935,694763400,106172610,-1,95383913,221058347,33084481,-1,270199236,361713918,942188230,505371747,611694771,826282934,160791217,181906537,-1,-1,716177006,-1,-1,889099884,301169862,109298096,776622787,393946874,449087225,549464565,554009027,287011051,29012239,481695892,505289871,-1,-1,171061348,868224576,589108186,241240260,895598408,308532199,702886808,903910291,233340548,387171779,557150855,136890605,628608963,518528652,778559074,634286839,870080483,849772732,-1,698382696,115184016,638850289,406815841,218967597,-1,745747673,548937695,628979560,347325603,954753991,560451436,-1,966919842,-1,230498851,-1,-1,464391970,74636150,970267778,-1,377692095,641544368,127592610,986053957,922269875,-1,489975583,939296292,-1,-1,814469490,-1,511949386,700736836,790971907,136213931,858413150,450274157,-1,-1,-1,-1,-1,792524522,968910992,929628645,812842574,158110746,820827347,331748572,-1,-1,-1,621490376,186465481,861455288,-1,-1,108977683,-1,-1,737728600,771549088,476716085,403232271,256035481,120625528,-1,3226341,905915109,-1,-1,336864216,-1,690524611,-1,-1,38447642,963261857,-1,919240804,713953665,-1,530144545,-1,145565332,-1,218296880,896705328,-1,759413070,-1,-1,824946737,181356974,258696328,395398740,550870681,985270142,998324269,796444491,20545790,33902627,872158134,-1,415013092,626057180,172548493,388650566,972819830,-1,-1,746532452,459532344,-1,477147001,382001942,-1,614162694,-1,340575363,636219932,240093436,127699298,-1,542660092,231066910,-1,172433999,38618460,60823857,-1,816891592,160710860,399085338,856039926,281999774,152226213,-1,897418697,-1,173569210,799376509,744967271,710908485,919829122,-1,-1,-1,-1,416728249,-1,114106865,987057047,-1,643739649,-1,129823178,925638729,-1,657301328,887764779,-1,890909275,732366309,-1,887998257,-1,450473431,279625931,-1,50902013,-1,648194023,118915608,965269805,901182121,949933622,124028368,667104444,957587174,576257139,132635083,932622737,401721352,-1,225221794,-1,-1,454048850,280914630,-1,-1,390097812,383048506,491122991,16873344,473321350,136831393,-1,156347104,550754346,-1,-1,769207529,58026982,-1,-1,662333918,642130952,-1,186610536,-1,498650434,-1,67230259,-1,332281587,-1,401082585,-1,310944256,468268839,-1,-1,199526739,-1,-1,-1,735955089,663044771,779238759,-1,537319162,-1,132503549,4698975,-1,190079725,-1,291856585,997416455,-1,559616028,-1,-1,-1,-1,189671890,590506201,632409179,217671142,252876586,654114961,-1,-1,768390301,685762720,-1,-1,536223697,-1,70833568,-1,596336011,-1,-1,658376801,206612620,584039036,-1,-1,-1,731834975,-1,-1,820602703,654632896,452555459,123341380,837740764,-1,290553612,362328592,-1,-1,831847126,328918580,619659437,176153197,307158542,-1,264139624,994541436,573045606,-1,405024444,513632386,-1,-1,910287807,264990753,217497813,885946162,-1,-1,-1,-1,-1,111323759,985148751,165587190,846441425,-1,-1,58636238,357722484,-1,601859268,-1,614759950,-1,996369471,337040502,-1,-1,743601623,371784081,977674734,-1,153123228,632136529,267555160,874110227,-1,202930323,885091877,698047050,96969375,-1,264623157,194259035,-1,269032728,-1,254953422,884110481,214215454,734455416,-1,-1,892366022,-1,-1,160754590,171450511,-1,-1,561744833,227780167,-1,992063073,233631119,-1,714484124,366977348,603274759,631394492,635295231,874864919,496427616,680170769,714913521,187639925,761612229,487568877,813588278,580275263,341688879,-1,476509424,-1,806076942,583109971,270166500,-1,61124429,153653914,849426130,112116765,-1,282773973,871606915,-1,-1,-1,455168711,709906229,427133380,911112231,-1,907819876,-1,428713447,613443206,-1,451028493,932337409,-1,774887083,726241807,371965260,346242032,513919524,118155122,-1,921778755,763689471,255710690,950360223,654400913,938028738,706096703,369766674,785087035,931018222,672030503,820203996,529914679,600427009,-1,-1,-1,630437745,21278475,920177085,90942391,-1,135246928,283282753,42267293,671323388,605358183,654115237,106899572,-1,674794662,-1,790510218,-1,-1,324088075,847355826,230609349,-1,995083870,518627642,-1,-1,150862634,190883680,630094317,546636120,736312484,12733217,742585425,752164137,-1,-1,-1,17134508,623733876,577877149,-1,649974422,-1,340022167,441327628,-1,946473957,18409857,356180481,272367213,145360688,-1,-1,-1,-1,201695326,324410730,276380595,-1,216129027,600980612,635741768,-1,21653772,99793902,-1,857908208,249687799,948724728,474187417,644693982,906522950,213181070,-1,679080792,231385088,340197832,673052323,559117105,-1,21096133,991567052,41005307,991153290,-1,169931095,-1,772225573,-1,666989213,767432260,-1,237637824,361500897,-1,685135398,-1,-1,754032058,484527444,-1,863232408,-1,-1,791283785,367524427,665581863,475379931,73597966,-1,798213949,933051305,22537337,762087055,918417891,238206105,-1,-1,99507937,-1,553998840,-1,720066308,-1,508871032,43465768,-1,-1,-1,193029794,162819510,-1,-1,974662744,296838004,490281731,-1,332572167,-1,144338610,-1,13220323,281226458,936638623,-1,-1,881716516,724367977,213304494,52818437,-1,-1,-1,527481398,343766516,177376269,-1,50606528,-1,834129413,72063974,349948765,201459322,-1,852313174,64297081,-1,998847306,191640214,122817067,28133918,139540137,-1,-1,738881176,431144483,-1,-1,-1,583223603,806115723,-1,-1,694777274,-1,126069175,-1,755213297,-1,75536228,217077001,-1,-1,255460263,588340816,-1,-1,258425495,842483228,827936786,-1,856762257,405362050,-1,328845637,673127224,351936936,289434851,776171651,505547642,743142072,588437974,573935788,115256516,786426569,314612052,126117562,-1,-1,516143256,500319782,-1,-1,779703152,-1,434184586,-1,846508680,122812615,709833164,-1,551104971,599402086,165375841,729627260,418996421,443056903,378841819,772300744,-1,684060983,-1,701835710,303853495,345328078,356267473,159811189,-1,-1,124526993,511408385,78553901,-1,639162338,-1,-1,55923689,-1,305271791,53017177,-1,-1,863073998,11285218,-1,954050976,315691551,65018572,22131442,796964732,656854278,-1,579641382,177727530,367777509,15908880,903997333,566294031,-1,378437406,753877573,831553017,976989959,351716666,-1,-1,59976931,795335640,270292914,835313402,134521261,995763363,-1,292659000,-1,806712883,103240040,-1,855591828,480005948,-1,374639156,946565123,681541723,472710780,761780441,617574978,789840196,273569282,381788592,927899015,455556297,-1,-1,-1,-1,443681865,852586406,-1,704477224,423649816,-1,-1,876402915,-1,359838282,615845563,-1,845362694,646647713,465270768,441376695,471151543,226969450,-1,329774961,-1,-1,154848534,193649284,24415289,75680874,896229951,41688036,-1,-1,489629299,-1,-1,731600203,-1,-1,-1,840576322,690093708,640670265,446655131,-1,-1,-1,160076248,20815124,-1,747274760,-1,-1,-1,290769960,620002906,-1,331410973,547421419,376248828,678068806,-1,496484388,534192324,696592780,484919785,-1,-1,471162531,-1,57099074,468970935,275932583,948058369,74492353,395394723,496255101,-1,248280396,-1,269304735,-1,115393731,123011604,88834268,753580407,266175825,-1,371740929,-1,-1,809391749,835965511,786917850,654790142,384456417,23003214,454147196,634837503,871099898,-1,-1,481686828,916526875,846584773,-1,-1,50182680,863577354,-1,675186191,982127279,-1,76957090,13166832,412789124,530955342,727364921,923418947,-1,626231364,307866421,697602371,-1,608100907,364889627,72326730,655800404,656433154,-1,633211678,-1,933250090,-1,-1,388362650,-1,-1,576751167,326253017,-1,527649689,-1,924621373,793114283,312967081,134242123,806027767,-1,278054549,820858541,937628196,-1,987793690,707657667,675372607,-1,251033236,485124229,-1,699191678,300108466,-1,691735158,-1,362605390,-1,476308015,767309366,197713898,223984287,443523487,597881758,-1,987684031,119770980,706684435,-1,675150472,644264487,326735428,-1,303392492,325936285,313698938,-1,735121383,681276385,761185828,-1,488668160,738015584,533632688,783700578,-1,888120883,-1,304961275,142806009,84439695,451953671,63877866,-1,587801463,844371744,613006333,810288702,655627922,-1,-1,941775286,404815813,-1,-1,373359114,912014522,802803210,960599857,425069888,99987914,627442808,-1,624531854,11907558,659007653,-1,718793349,371185301,-1,786217902,601615683,474881726,20985111,209156465,127305074,-1,323764243,-1,527989588,-1,948623163,-1,356905520,827268700,-1,273377893,-1,732320518,411327206,729348869,860292632,-1,-1,531969903,396779043,-1,871902335,272756159,-1,101839444,386282602,-1,412391278,-1,114144927,314397041,-1,872540506,39317694,-1,470428035,-1,799721153,-1,-1,-1,376541853,586207469,-1,179142971,962671527,553369585,927540247,-1,199863199,669094748,-1,386137405,685281584,547692194,-1,-1,958014859,-1,365017919,-1,265035921,908790042,237619175,917560713,303509370,432294154,390326980,-1,417824982,-1,711915402,576918585,351506092,474376851,-1,-1,256620325,-1,672013936,147406352,-1,425950964,63550005,417169856,119181686,650763447,779249188,273088145,-1,599088564,562905139,-1,593385704,850966341,759616545,-1,608757709,624144471,708047182,-1,628165125,-1,415879127,-1,667898090,544480206,500780400,-1,363002042,820563647,-1,632370364,908187053,-1,682125163,679655119,439685855,845147072,961452562,493078065,177653293,-1,475222393,134877684,567323399,-1,488494226,-1,756685984,764192366,351322390,487385592,180752683,-1,442904829,-1,979414235,872030635,500481876,-1,526408927,51654050,474734270,476468609,873111216,788916095,544013983,970474517,464359969,697754338,119773918,115725376,487821216,-1,-1,563384344,-1,646292322,749917973,924659488,588972004,671425383,-1,307841629,516986089,638576027,-1,-1,-1,865345979,44557952,-1,644963923,-1,-1,174430443,252565207,-1,948118975,636339526,332575916,261730319,882579359,-1,-1,434959942,799268344,-1,-1,636719205,444556261,-1,783970271,-1,62232783,-1,-1,94276685,-1,-1,981351841,-1,-1,471627000,721115724,-1,488146422,-1,-1,782542962,509730080,-1,510672385,-1,-1,-1,-1,-1,376589906,-1,441233481,631471375,850872051,923712494,-1,40309858,-1,-1,184877766,780564388,882262958,761481177,217200541,937518013,881559368,403164393,-1,-1,378926414,164915603,-1,-1,211317486,475025806,-1,861329924,503467386,888538377,-1,301507277,342106993,-1,881408412,-1,256546150,928889238,664929664,690736966,703297351,413708825,893771267,227062834,853232889,303372710,586144866,539583868,694281221,-1,103098640,12641412,952227224,694494919,22296125,171429392,-1,267571731,-1,536020488,-1,664778182,722379360,812492630,-1,-1,623253448,-1,696489668,89630856,-1,-1,-1,163483070,726078688,563958836,560895523,381534591,891060690,984445122,906286877,-1,-1,-1,-1,-1,917964051,235891970,627456654,105306855,-1,279528361,-1,20742484,697030905,602081848,427973445,-1,25827829,-1,770424443,-1,713946168,503915679,408687494,923428461,-1,-1,906073109,542273907,256735513,969323865,-1,767822201,616054888,208653374,989286818,-1,343654466,-1,-1,-1,103992992,834958737,577384241,134702766,393364567,949716901,105037952,125551651,865564461,293939798,589582541,267405674,-1,468893990,-1,356071796,-1,366018892,-1,778342777,-1,-1,781467386,180294037,55525835,-1,-1,939400326,355285246,120261700,748139355,-1,89251548,-1,-1,-1,971476250,-1,616621943,127412895,-1,592794189,96490731,904324762,299052973,890460366,754476389,-1,-1,941604762,491184762,-1,640654549,683408974,-1,-1,602109447,-1,190465482,-1,-1,443029630,751670745,479679593,-1,411648450,975680103,588247117,651251533,-1,450932294,570647570,621740005,-1,-1,156855983,119680877,-1,638932200,-1,76974308,957259653,-1,340733578,-1,115752335,328272882,253166118,-1,954252806,-1,533158289,686577313,54849436,73172902,419395986,241707739,-1,336329555,866044201,319679368,970790186,495627078,-1,793085681,927068976,-1,264699138,-1,592655436,-1,-1,439866432,35777223,-1,457187734,726266605,377083246,-1,-1,535828984,39148242,694719025,544102342,41090290,3619397,17833340,-1,816679981,169625913,-1,460784180,-1,-1,536135762,223870123,889027611,-1,354785738,157881003,438341551,122176000,308708745,-1,-1,319481184,652311054,472752238,-1,218801293,472366397,-1,427610676,724348334,-1,641272031,-1,641457356,160702247,192924391,-1,318283726,-1,-1,547734156,678676249,849864137,480123842,135483707,249903385,-1,172177852,720724088,-1,605809714,424891451,-1,558180251,678443257,-1,806473303,353414719,973689485,-1,563249767,110358266,17776454,493591815,-1,-1,-1,402518842,-1,104986766,699563872,724497481,802776387,904585481,354651717,357169437,-1,-1,-1,143067501,274817184,-1,637427531,717608682,932454757,-1,669720968,676268255,-1,19056901,355895665,427695295,239087112,412458155,-1,-1,986652760,71528360,429170171,188828625,279858178,406846061,218960558,289573519,281597039,-1,637500929,147532160,7287198,931420924,73082514,-1,505058924,661982664,-1,49612972,210614995,-1,446778708,-1,-1,-1,173520326,-1,-1,-1,650882895,-1,253438727,-1,648163473,116495031,299696551,693943503,137828167,-1,301363211,658890111,300898390,93464765,23940497,-1,945881344,374101270,575679380,628440691,540885409,-1,906926032,442707989,724886199,-1,35880204,541977368,732733763,198943374,185908548,775136573,-1,534644054,321180838,-1,574115613,699252170,-1,848021409,271274416,766723726,983259495,978869939,314339709,42591020,-1,208051358,465581412,608202405,830123610,-1,753373410,415649026,564933891,498250290,400182331,967015389,217163943,867124066,784729792,588209392,38564475,-1,122702894,491134001,-1,-1,-1,660370405,56147922,812621596,179494307,-1,-1,76312487,705722019,892203415,909799005,349786100,-1,541753820,946338490,366357800,817913158,571385608,-1,254803125,456510043,184864921,198602960,575760387,816774027,106027657,337163410,78573781,450000688,964770955,657907029,-1,611057996,588160438,115001631,-1,233087706,774969892,256031123,171017542,823154337,974258789,-1,-1,935341482,713470147,-1,-1,726447520,-1,182806485,883405656,38281125,-1,361602477,997321829,212273974,318678578,371937606,926748398,-1,-1,-1,567345601,-1,-1,186765009,854449453,973264327,874393490,-1,288364086,297909748,808138329,770312720,994384184,-1,534272723,-1,-1,915041805,-1,578901434,319933953,-1,-1,994648874,-1,570877625,108564141,-1,546033882,-1,24409373,-1,332558859,482578331,673722723,957150786,960371095,565965706,902352914,977772779,724985485,25973518,-1,-1,436485982,-1,-1,-1,917973774,845679438,724095599,865342570,-1,564521283,448145484,99689673,513126898,358422045,408254498,4610878,-1,133845206,265365920,525608109,777728762,603415788,357815550,-1,131261836,506434582,-1,871171641,464064977,887026813,348401227,-1,680964553,443807835,213049627,-1,-1,950282396,-1,406999461,-1,-1,672809001,18609613,641974309,-1,706439097,-1,536220570,436544695,-1,431055126,139085630,-1,798430182,530001915,920145005,13715081,699497907,250252548,-1,948446220,-1,-1,-1,-1,445525478,243080779,-1,163734740,897306227,-1,748222460,602421892,52698273,269727372,247140221,420871746,452091440,695548851,82699048,865167651,-1,40927844,896178347,695726661,297477924,2720100,687711100,-1,492520097,346381629,865201726,828171284,-1,828045143,560257723,333165473,65942774,-1,-1,-1,51718564,-1,-1,182629882,997981407,-1,546931807,431689068,-1,-1,827242683,895623678,294370539,-1,514866686,276739699,601975648,433177453,562045756,767367221,-1,-1,792856629,-1,363181061,-1,556225249,486526701,985343235,-1,924692493,305231593,764111090,55672319,573741064,-1,-1,869140317,762743397,864673071,-1,274815036,855777563,-1,428094734,617141946,549261740,45572366,980171653,480004705,-1,636357660,893811059,334247182,-1,-1,-1,42599288,-1,269149105,5704639,-1,-1,354066208,-1,-1,599230829,201261520,327562935,401863174,272219151,-1,-1,812557243,834107286,587565566,698870768,-1,-1,-1,175813006,127519020,656271796,500321453,615709138,292947216,505086848,-1,-1,515417268,-1,-1,297157579,299915507,22428527,257871817,-1,912532733,715943718,141913726,520519578,691320773,313496103,230683530,-1,-1,180240708,-1,902061123,866358761,906363903,970433388,745279920,-1,611505922,-1,936772862,719551942,311061675,271759110,578157256,-1,890321652,-1,519252815,-1,-1,472679039,-1,485323411,609261647,528636373,994445247,-1,336727996,61768965,977144006,579235762,-1,-1,805347091,41398199,157276007,368454070,416893530,-1,12934377,841432929,919568018,-1,614359290,581482154,329963735,-1,257773294,356618881,790386523,609911682,-1,840629079,933418044,846816338,334274103,-1,560831972,840092431,808363482,799965879,17368488,217341629,275077211,682574426,493022674,406259232,824331026,321230674,949397495,319490584,-1,537138398,-1,-1,732054802,-1,450670783,-1,175013265,341783897,700874501,-1,923226929,500455827,341846695,93523828,-1,-1,992843384,-1,772697616,-1,123084065,796764706,439040384,427783553,-1,293157724,653083581,-1,635257649,616670762,-1,426672814,78039,254044769,436282380,-1,81668025,238357596,237299689,-1,287509520,-1,402327864,-1,-1,-1,45846455,502005927,228372139,17857322,110017609,-1,317719596,-1,115502426,399269098,164853012,405157162,274463836,574627729,30266381,506977525,-1,390862224,130124516,-1,454166863,349797565,403699884,913463156,170535827,-1,474857767,81071293,508876526,499440514,50071734,410894406,-1,984062315,790371757,431104391,917779291,-1,350430732,-1,-1,572343701,361007046,640404954,-1,69141372,156883908,693367675,265843059,-1,173173696,313485302,-1,81684803,865307289,-1,511685828,294289180,559534423,454447737,445761385,956852268,874195286,-1,795067370,990934327,-1,291006914,36428178,837394474,-1,-1,654212624,438532884,59678349,131067599,37052818,-1,48258241,238594391,533297583,544284897,522951198,182124221,613579605,681649959,-1,-1,234303264,723955483,333350880,890704058,851383867,-1,91132135,874191579,-1,838814183,126281302,200551453,283570630,62425265,733590557,72815743,-1,461469279,577241616,-1,-1,-1,968719304,-1,-1,156912288,252647286,-1,514419649,309659878,440760941,-1,-1,-1,555719625,341885555,930125108,-1,-1,374803067,-1,173076788,-1,213001808,359749296,136168458,-1,987527290,-1,199279892,856075355,718754237,411758718,453417000,660304454,857711259,845653665,-1,174524028,-1,734356525,135595426,-1,860067479,-1,749183302,798079693,865625842,157479366,720067998,554660667,163773248,430010182,865722135,-1,427536559,-1,64174401,-1,242982911,497754449,-1,-1,-1,-1,503304291,614294895,-1,-1,119224280,-1,290856770,319118744,814113070,580179004,-1,668719798,598522643,-1,-1,885166141,739626531,-1,-1,19029081,362740898,238793825,321788553,52177813,113527736,687943473,-1,-1,458105914,-1,347023009,-1,699063603,-1,386732333,94260899,210136189,382436044,586642749,-1,-1,234086227,-1,255429850,784199899,861767949,705988795,772465598,616358489,385109657,284705007,395192561,895446629,-1,983037394,866741393,523812721,145322355,383042248,-1,744686994,-1,909809667,767692450,352057360,52801842,701330548,193705339,-1,779575783,208921950,-1,260799372,474877082,565155781,593692613,766745264,-1,909310881,-1,776951517,-1,-1,260669889,220721185,-1,144069138,40104236,766264091,325482189,101065672,-1,544488278,454600207,428188164,985213345,898865168,557403161,576744692,452654788,-1,71474575,150443042,447919463,79561763,-1,-1,197450520,57637180,2726238,-1,-1,645237514,521824923,301868552,-1,906701476,673646804,-1,546473391,859334473,-1,397393910,128981147,439664959,-1,46859639,571703482,187638724,-1,534034411,820428976,635101055,308761992,943538330,855276693,-1,169868343,74599096,349126686,-1,-1,-1,-1,-1,-1,-1,496539372,-1,490044090,309743625,308073364,-1,985463940,239875807,543844856,122709010,514714762,161409454,647576778,-1,905259883,935898820,706350335,868559689,-1,-1,641203260,874247857,636402864,-1,-1,344469477,601240803,-1,774750676,359175314,261840434,-1,-1,-1,863790740,-1,457076050,355553518,69271914,-1,239410353,276912907,649857906,757692407,356582109,65821438,918110757,-1,492303687,633038067,-1,538907410,764055939,470848402,448785380,13561688,219804639,-1,384269579,901923870,332434770,-1,-1,677546563,134784626,435060090,-1,46900904,838475866,872169315,-1,953953571,-1,292330837,342481681,868284883,398440262,446134581,869669227,801254229,165806279,168148493,-1,73368447,112367175,891529095,620995678,568807528,115135998,518258800,216149007,158148578,740465869,995945666,468317052,325945957,322990821,239267625,513831998,-1,281818401,788099905,707949922,335843560,772499761,388020521,59805511,464433518,884497490,35280207,5079155,-1,722951129,120913634,381779855,-1,-1,467685193,-1,80378750,243463646,749314081,293385935,807228963,-1,-1,261357830,397707565,760559053,36713719,823003744,-1,854639340,-1,-1,-1,683692453,726836351,-1,-1,907164248,284751952,-1,112741729,453514033,454206479,-1,376470856,266076130,238592894,24939037,366206869,-1,-1,959141228,267993620,95958486,857388779,821291589,315199558,-1,-1,-1,200844551,-1,237834028,568558233,656960657,269996739,-1,661391133,614673691,478210616,-1,-1,-1,634737785,798644405,158499539,317632428,430439955,-1,811037901,308314236,670479374,915376168,58328612,572262513,275887243,889262964,666336497,714306943,304093523,-1,820849353,372536604,587115507,615037919,447203550,-1,547521853,62618990,201894366,273728930,483296294,793122082,-1,947739335,206243216,287533041,984602884,-1,618047997,118357263,290002616,259261185,188360966,-1,352006288,22610920,-1,642616509,858617811,-1,157074086,29294803,-1,-1,290960800,-1,311347191,812257418,37771940,577869558,872706347,-1,799845831,932796872,-1,590497937,506338403,370644348,943029636,460602957,-1,290382763,781840472,596956124,102269566,939459110,-1,-1,674819015,672012762,543179695,227738926,-1,187792823,29283509,363015517,714461540,850983621,-1,194168042,489032966,964454031,-1,386976165,-1,745696819,742960635,-1,-1,527440638,-1,-1,-1,914336644,-1,200783447,-1,92156638,192255305,168035356,48972052,112478352,248977250,873608336,-1,-1,175850291,99226839,182835728,464502751,301690717,471996015,818382990,-1,753729604,840521167,-1,970562784,214982192,726628472,576296758,179913923,873656694,-1,-1,-1,-1,-1,995755726,847641176,-1,80737316,937743856,83706188,716287980,-1,-1,573139903,887643941,-1,-1,949450545,370092773,-1,-1,248210627,629158177,234008099,853706689,464521384,425177696,190000301,660400438,-1,125940373,-1,-1,864873004,439454133,369581624,-1,473357521,-1,764913363,364730832,678270225,-1,430362126,201958729,412678248,154013325,705783546,201807704,741945996,834533146,-1,905438287,649710118,-1,945850397,156298970,980508933,350027066,-1,-1,513311847,410174452,839430071,202694595,-1,326517933,831679765,-1,495499368,894571875,-1,349783380,591016944,73943309,702055598,119176626,27208786,507357303,223126693,690661814,913333432,-1,-1,782006356,917902531,3317870,-1,25340123,510742134,958088075,720342849,-1,630297652,417564125,-1,946845965,-1,686204665,129052322,880842134,-1,98520236,952784765,324898997,-1,-1,-1,409473843,768929389,329814692,-1,214131361,699179679,976377653,-1,545100350,59353222,746356946,713453785,561254599,629141877,767194601,146302929,607664994,-1,-1,602445257,24967440,219572979,152217133,-1,-1,195406463,303073622,253223279,803169982,-1,838217133,-1,686308131,6503885,865505592,472554378,807049037,178898222,42822652,940415799,-1,392488953,-1,376669661,-1,-1,150879345,997914940,64637527,-1,-1,173338692,968934675,964561947,965180797,595377358,828716990,3824699,441658144,-1,945376444,711803505,504700690,779282220,929306590,409229960,-1,-1,877679119,956177912,-1,701165482,-1,-1,-1,444179795,311155459,778999065,-1,42504345,136980748,-1,-1,250818363,635072520,811151852,528419004,616936451,-1,287988522,-1,754787178,623825258,-1,815660068,7187369,209848750,468886216,947434797,397776844,418172989,606909477,901816111,482844232,843823536,924713098,464740557,155371839,699417068,398565958,139673286,21983900,613096954,-1,242842124,-1,443631634,-1,944876549,961538289,506130260,746564760,810566532,611359095,797141881,-1,552804466,630952215,157909439,340042378,193811810,545933842,277407116,317052793,490052581,-1,307633858,593817440,761731645,346304278,-1,773389031,883345338,121724487,566013223,-1,376167457,-1,341499738,412770484,231350721,938711616,181688930,843548301,-1,881493598,292141022,-1,213574627,151522071,564476959,685662583,313052224,-1,91378731,245645365,500888212,-1,525627698,543003373,826212289,636592096,94524007,-1,591491716,125161382,-1,411953451,683898100,-1,381849874,616386859,477197538,6698046,96977503,587725972,978993788,131230143,412455213,427235384,223420379,-1,36199821,215853884,-1,857283232,145769687,-1,702943865,986414530,332936258,124744415,330316422,528313512,627707502,-1,985389965,880000243,147204874,222482176,-1,156008765,500280120,702052826,100438688,179699457,-1,364539961,900731690,-1,840998162,408159155,91097810,188395027,612186374,-1,745816493,544252105,607261835,165499471,303030612,-1,-1,843374890,899953483,246858694,606668015,797976873,493035884,391259982,625640067,255651671,-1,-1,693966614,-1,592627627,-1,700644314,924034018,-1,-1,-1,350625715,-1,-1,555484349,158163897,-1,770787867,394029196,374099754,126017358,574296182,-1,-1,-1,-1,143175064,384027461,356992166,328959873,118374992,979922316,-1,484815489,-1,624804480,-1,581336540,893379466,-1,-1,590817222,606594291,54055179,-1,-1,418274669,-1,492602473,729027093,371147128,-1,460055698,-1,-1,-1,-1,777976579,959153073,359196020,352017432,433755938,281483965,621939126,681611485,-1,121952347,481384830,778249689,884653248,-1,-1,744779650,185906853,221042020,151943801,554175173,556684822,-1,-1,-1,-1,248560723,513055185,-1,557685522,773338956,638547798,155341339,290114080,470009746,192953348,-1,868860253,-1,119146103,685289622,794600285,789490133,354498323,-1,865728265,-1,-1,980084608,303718165,-1,284833115,948080352,692880199,102041316,283554234,-1,206508517,330758716,-1,988567578,202817899,202396774,-1,-1,-1,-1,-1,871314636,190134878,-1,283826077,38614931,348691995,337532581,-1,955685550,953821454,457279548,365718484,83005817,969912006,536589098,552404657,596994917,842567262,233294509,929182250,147764771,103639151,531994528,88605313,470196379,609009942,772151527,-1,833970310,715191409,-1,-1,233953742,967869159,156404664,292733744,839552898,962430785,425333688,-1,-1,790249612,368530696,527639812,-1,-1,-1,755021642,695492600,255252744,691706302,906010964,666536780,238600631,932057647,887397360,341118128,914173037,433595330,-1,452347682,705027204,731230334,749905668,-1,188897976,29563078,393114509,180209158,766354001,147844499,781544189,-1,597942405,329906606,719623117,957232102,-1,724305569,893950276,-1,-1,627004521,-1,108584746,-1,-1,989765021,70940021,133728547,942441926,890135196,266777649,-1,-1,503683027,-1,634441613,78034651,-1,-1,770182117,-1,909405131,555577727,901152788,-1,269126267,998254244,378403235,413443490,71346483,-1,387061085,18730173,741741480,774422970,893604291,-1,-1,913580836,509833091,-1,550202668,162316266,-1,-1,-1,-1,-1,-1,-1,-1,884772036,-1,780377313,-1,-1,347564288,132879447,983052656,326808679,366918965,-1,-1,863498689,-1,630585306,644230633,-1,-1,-1,634285286,258446743,-1,-1,450350405,472525991,960707463,897727667,489079603,572406471,945982684,271831348,613286642,907405994,20203523,764110702,-1,417440708,640060820,765378523,-1,259563889,302439741,159059408,-1,415706715,339801684,556999562,51571374,934494007,351308540,725121739,575071469,-1,786313592,285922342,936790532,-1,-1,-1,-1,8897991,76010041,-1,-1,-1,320676881,-1,117148807,519322567,-1,980102121,-1,-1,649213146,853519839,-1,-1,931648308,374426258,476798058,447172940,54415256,419902724,990507781,745487868,-1,230124496,983375484,874326634,315730174,74770828,18209714,-1,842531070,491692800,52510241,-1,80356333,254230151,-1,-1,603693467,439596792,839416507,-1,-1,-1,304057833,-1,41509135,400699376,623809135,-1,569050163,-1,163026100,263853214,-1,858042202,957998889,408367327,-1,-1,-1,-1,-1,781927098,901576454,49173569,816317503,475772896,182463979,189497108,820982368,476460603,659318520,751561748,162438776,458792399,-1,566892531,-1,414513070,-1,-1,975824714,411595164,47434288,646547765,-1,503030031,249490461,551793835,-1,741500066,389188440,-1,916025313,295883257,805091881,243489625,-1,-1,-1,283537985,291987878,343786787,967397005,941403024,214514638,344733738,707355305,-1,-1,919770564,-1,-1,790369063,273354535,-1,52588183,504427290,254400809,-1,1628159,-1,-1,751614684,235876664,826682595,640826247,22419841,-1,7455399,-1,164755530,527745748,405683917,484584763,-1,266415583,81693390,854854326,-1,-1,134386558,679128441,970799703,847751741,-1,32604794,199767907,220909319,-1,36699120,521880179,908044591,376014408,-1,84188206,-1,316164126,757720050,456332061,471874730,-1,591628081,-1,-1,-1,860137149,-1,735572226,151932539,-1,531141856,-1,790448110,49020026,669644346,-1,119706494,-1,-1,359797268,-1,430692625,-1,784207398,692201752,867893096,250832637,-1,644700107,736233809,-1,-1,430985344,-1,39117721,184850373,591448204,46390639,959622020,367642156,145569084,-1,430184933,-1,410052615,91209336,-1,-1,375726609,578137703,854304522,753946146,421713406,708737065,340987310,-1,131657739,443271490,589856907,435809392,252550998,620398365,378361505,-1,-1,-1,424868161,634028483,315232483,46857399,553209729,-1,-1,171876350,-1,421160504,-1,347170208,-1,771067744,804965105,-1,575995747,718993748,-1,-1,-1,60086314,929077975,-1,-1,58670655,789566870,787324844,-1,419613752,-1,392624609,29214123,-1,-1,-1,3599959,790558290,935941066,-1,79419066,386953708,139316623,73341370,966300428,661733358,309250870,273009880,573901904,288441103,-1,-1,-1,174126402,505568342,137298478,19445585,-1,921431336,536766896,-1,512989951,-1,228897689,604119414,-1,576347656,850362885,983609450,-1,-1,449794102,-1,80273794,150017703,697913335,904958947,226349617,821009561,713714031,131985406,299288212,887372170,282632144,-1,-1,-1,888565865,-1,552446194,190973487,455664202,774020734,738938805,482212753,470166920,357530019,572274685,498706271,973120476,695803112,456266519,439947057,-1,627963190,501210448,-1,-1,-1,-1,77758766,875398620,-1,297170893,-1,-1,729605188,927381765,704217602,594192912,-1,57123163,-1,479230502,951840844,249015601,-1,981652373,804991939,530936431,728688614,375297007,-1,489301688,-1,891078822,398538551,346163203,880471226,894110717,-1,786680693,988021867,273090548,992579882,551534911,874036320,968001910,475796639,-1,-1,-1,241936816,545295814,972162169,-1,619298684,463965912,252259776,-1,685446209,-1,-1,-1,-1,842285636,841539379,935382500,-1,426284700,-1,-1,-1,356094150,-1,559438211,-1,-1,793137401,777306023,827976960,115424972,651107827,-1,-1,915792231,-1,595488518,775161088,997631596,393109740,996371299,875234523,80911344,-1,905278705,274527937,-1,615170623,149658580,859232323,107436263,523188560,62280609,224757625,375073387,-1,215543966,452681688,16760263,194085381,-1,-1,497461419,-1,-1,855435457,806687504,272246917,364690696,692796150,890400115,621709907,549750113,104689699,145978926,-1,352324531,-1,-1,95546981,982891116,-1,-1,825928110,-1,-1,894691362,323982140,669998767,-1,-1,152716302,781230267,809046012,-1,-1,269979422,-1,491828590,782771264,-1,428797521,-1,-1,75836658,626147486,-1,35772718,810026371,475013850,475977386,-1,942396659,-1,-1,622173404,153865142,130191551,935914848,-1,658324532,-1,326853015,-1,427359392,-1,831850778,427458432,-1,936911065,376848189,762211568,875536357,631845106,-1,-1,-1,117055596,-1,-1,748370774,497874963,-1,-1,603950460,644578754,911529695,717252117,613962639,286123016,612723057,761360857,909020861,216145827,-1,129815244,-1,142524142,130584127,407935065,307476765,-1,348402464,85438845,965234616,126429846,94755213,39411752,405698932,135913800,472270151,-1,340158188,283029254,-1,917150955,135313874,209066718,148570645,-1,-1,-1,172436951,-1,362037481,-1,730727180,191456535,-1,-1,-1,937994054,62922647,851984133,-1,241613988,-1,-1,-1,15759792,166468021,79136070,122142866,-1,814703324,-1,-1,610677869,-1,434710476,-1,-1,400020750,787103032,443375467,-1,411405836,161222354,681202092,482328224,-1,736499880,-1,644168409,380009887,544741271,62210806,687727360,128739207,392268869,159805573,235955936,40006065,302246884,24591506,153615577,459696940,-1,66969756,979509790,776826471,452703419,66569842,-1,994629575,-1,469061823,868319011,-1,937621216,-1,34930297,733880797,185957178,611601999,226621922,917048225,-1,230519133,32646236,-1,732116817,271063503,-1,663453663,-1,22900165,361678307,377273287,-1,845348721,744377152,84605317,820050917,-1,913844396,183379534,851391353,660022714,114153558,-1,-1,741054522,216567930,136359006,-1,519971154,946341983,-1,266893641,-1,915859718,-1,694665343,183392558,163831280,-1,667302229,-1,498269727,755678724,925614194,211318846,759815230,-1,-1,634019088,-1,-1,-1,911974144,-1,44553374,311043234,-1,799667129,118454688,508407443,125409771,396435377,-1,-1,508510621,-1,346311538,905318925,970183278,-1,161402274,-1,-1,984137717,-1,290766276,-1,560735754,-1,594915740,230862245,-1,758481786,844294594,998405004,332693083,196628692,242598086,-1,616069214,627684100,866298258,462050827,-1,826721825,-1,581777857,225684340,432538084,154984978,307519788,-1,-1,-1,-1,581967794,68970522,692858959,988675823,401068592,-1,320525926,572592323,29226192,157178008,755536698,35295787,609337754,-1,351735375,972536626,-1,659531441,-1,6486494,900648814,-1,-1,742302040,-1,-1,686112781,-1,984438198,507921462,-1,-1,161395137,396848766,99215030,-1,532634947,444810067,655724763,761944126,705703812,381012538,909883567,495893600,-1,332744531,-1,532083635,539989501,658668631,-1,-1,-1,593396345,379797367,197290850,423501416,225061028,-1,549338717,809115468,701706145,-1,355180378,899812102,699555445,258062796,246842008,-1,120143965,87533782,605239937,192045814,264366022,-1,833321572,772194003,987447155,-1,433321052,847023185,774434555,485662721,-1,695757183,276927253,-1,278978627,712287335,897201284,-1,-1,416516511,-1,-1,-1,634594322,737308485,689879206,115159795,468576786,953500134,426065611,816136700,638842989,796670983,474446519,-1,114038191,-1,-1,681652283,755994738,955878593,-1,317982252,464358654,-1,556918570,680754832,243395452,612509709,-1,-1,-1,995725100,-1,971920776,477967780,141716396,30489976,914673548,891667784,-1,516639381,999741889,766768778,524482727,280280333,425198783,135102174,315326286,619933871,975954515,876193242,446124312,806092475,300248468,384121800,47778775,-1,-1,410580073,411918439,-1,583565780,403318638,485900456,315348319,388551712,-1,280071197,-1,110177744,897882857,-1,-1,123191897,-1,231026948,-1,25767294,476088712,969620743,326914748,219829014,-1,721631206,783345626,860598876,491102425,-1,-1,976399964,-1,294965897,365824271,190737746,163987146,777113360,656098401,728181123,432205697,-1,244837046,17159608,116095627,-1,259294596,880705286,994918711,526622118,-1,-1,-1,498601104,-1,366833033,501504230,-1,840203604,406976126,-1,-1,767907151,-1,83207795,-1,-1,727213677,-1,459171575,2591699,-1,3657733,-1,291411427,744181493,180409731,-1,-1,514127630,737061733,-1,625220804,965705819,-1,858398657,325302575,197020255,406652313,263937172,-1,419713570,861261596,-1,111950460,469163571,-1,-1,813346618,146771623,-1,-1,311788698,106156820,713776124,349666937,800057646,364005978,352519512,-1,399755818,453344845,37261603,-1,162817129,171814858,333628354,727891434,121107179,-1,734611506,-1,-1,286620588,-1,533301452,167774449,-1,-1,202025236,170687046,-1,729422776,387775330,-1,760028463,84364611,840488523,126649817,160401943,-1,443056465,680129760,7435875,694096844,550587356,593563215,221830055,-1,873876619,804893888,606704522,197086711,607014566,465948727,357729744,-1,957699911,832063801,255855669,376927850,347965083,64916760,533295829,292753361,-1,948085302,307994727,-1,573124588,-1,-1,847454287,100350748,-1,-1,-1,160619535,941478296,596934750,-1,831632958,268726553,947337728,431768968,854630558,975274929,881122182,517471197,606896924,420049624,-1,-1,788726000,667121440,-1,257324049,-1,-1,830484221,-1,397069442,426945398,881881545,651733948,437911461,-1,877851065,722557661,-1,-1,98054794,421321686,741138954,-1,-1,993448812,18330843,494638553,640827138,722738232,377306680,22244950,901248107,443153701,913174983,704224262,384803911,-1,-1,648323796,155927954,244126158,92406908,702027063,453818446,217035883,-1,-1,811178337,792252165,562098133,-1,773440167,550247221,610794420,64718148,379633050,46154386,903830302,392794510,200487944,-1,946965867,762608776,-1,-1,845184748,259866014,196582986,384394470,373805698,-1,114845452,-1,-1,908024231,185684520,760991175,219191721,-1,-1,262874566,153739764,193185347,-1,-1,-1,988410502,60736130,636712550,65137447,468877275,-1,-1,607066096,833561306,551946,-1,-1,613516934,-1,326559745,494675375,-1,777473220,716124497,504330487,-1,-1,759950745,-1,215806557,623432931,350813440,334509717,849644554,-1,713397193,201460248,238897784,-1,-1,851191520,713635239,138012446,612576898,-1,-1,440436265,126135536,827216406,-1,837442327,311259819,472736129,134903942,906195857,481671844,317600766,-1,-1,499858690,-1,853031716,850895332,480952766,-1,-1,27413565,397578311,-1,-1,313072112,-1,276797102,127540141,21658400,141338898,-1,547422798,678505765,-1,233371286,473742163,682122245,-1,698141892,649687400,401863619,-1,-1,895781468,-1,417390167,383676450,883545568,993444456,30671786,366061625,-1,104712924,796410286,681137498,122687131,726350543,-1,294575651,-1,587622032,-1,-1,509335722,-1,-1,89341069,829070440,345385047,537059906,-1,309714334,-1,746526770,826059093,804614835,964985279,52909615,777896264,-1,114988856,164994158,648075666,873737276,380812991,-1,114548209,-1,2150638,637652308,707583196,-1,610317313,341687876,53781601,876207682,818129321,190276999,540400886,-1,94151657,-1,780059193,-1,930100196,798220910,198628872,21475015,417047821,-1,689096010,-1,15111869,614584487,365478037,-1,757123261,232783705,535024631,116605017,731469491,286340318,160163799,448711151,206904685,-1,872702753,-1,194516596,-1,-1,-1,-1,331024176,293439994,133877987,452736340,918469091,938681030,-1,86698594,534740062,671805702,-1,-1,-1,960231497,1751242,-1,44292198,-1,183872447,-1,937543031,-1,699071567,-1,592927888,212519337,-1,-1,-1,-1,-1,821662169,-1,8929103,945549463,383112905,-1,901978699,84020009,53658144,390668140,-1,-1,821080603,650140780,321002804,816319124,-1,-1,296081391,-1,-1,854944000,71479171,221763847,-1,-1,152046596,190213222,924692606,-1,173360182,391857483,-1,-1,439558936,285066313,-1,854461694,699719848,418836016,-1,313363639,969287654,103735540,748295550,926996453,264708147,823236465,878521571,18173051,-1,435178842,-1,450161514,-1,388644374,25753075,222293059,510551433,92939927,846917728,16892947,940742097,534388397,125291615,467995828,988230968,-1,405436734,791521310,-1,117572208,-1,42887075,541978735,-1,-1,267149906,217524410,-1,402200840,-1,748569406,65153809,647011079,819042417,813319741,487890335,-1,-1,160617154,953383537,838679863,290590421,110032751,-1,-1,360153823,869523213,374464503,359479879,48233462,80772641,-1,692737964,953705891,-1,-1,416140935,-1,-1,-1,654790733,418435151,-1,805409241,26037212,194819933,336307300,910781723,44309747,678897746,39224352,-1,-1,981175760,153269362,-1,219376859,885123995,216326067,-1,97786970,691467247,-1,18872627,-1,343661794,739385753,114149911,-1,41134106,936738079,267772106,871404812,-1,593403808,133643919,209010699,759298466,-1,682818174,464742173,583418581,891585802,-1,565436887,-1,208522669,-1,-1,142998439,923378397,395742547,827001123,847421381,174474393,413793391,465867187,218962008,781589709,289241603,-1,492703546,785909424,463671068,553302789,581071267,61783679,974472262,699656499,224349302,365757,-1,-1,667873782,477898168,364105410,687262180,356569430,392450661,180179525,-1,835511621,859672236,-1,913333737,-1,130340236,520145165,950548733,31518575,442565847,-1,515564919,-1,-1,142650301,49800921,654391189,-1,-1,612466783,-1,438596998,426968207,893064256,150974391,603305570,143286754,748540050,-1,636779591,101715336,107095520,93811127,535375903,784524231,407818347,19038511,242525797,482104423,415232317,-1,22432105,-1,422834456,425777599,-1,-1,-1,34565642,596189405,567208067,-1,790766715,273039902,-1,164158339,515088018,-1,156800338,87943291,577607421,-1,295078388,366362785,81564659,802173640,-1,751808525,502988380,182717927,234706444,52622182,225789811,-1,765163134,41243972,678985012,650537085,109943717,933170236,542046341,-1,336898408,389444856,482739833,349436650,-1,68274828,860065919,158737956,351585981,294428804,156558563,830788136,471328555,-1,-1,435168961,824199328,-1,118282344,-1,563707955,640730630,-1,192111893,964270389,206617179,507437246,-1,500861117,356463336,-1,689095933,74340654,10878058,75157637,623307525,144727026,159604417,559214236,157143176,31607333,294216782,691631629,972455378,191471840,-1,19689528,211862974,958462755,-1,462521807,685244610,921081133,-1,-1,-1,225054173,574518190,288122090,93181448,-1,865885085,23174741,777597562,971509955,-1,764297910,78565975,631399706,418146276,-1,664814978,178799977,-1,79561999,60037124,-1,581844887,-1,799543680,458600585,-1,536189291,578162300,-1,215110007,539480290,437200760,-1,172242628,549519657,947422341,-1,808124818,-1,135765023,-1,817350233,-1,980089301,50519711,163050350,858977562,-1,220498136,-1,-1,-1,19700773,421547624,-1,-1,786124038,723903751,82274312,-1,310425555,487249699,-1,62502329,264819613,433979224,-1,-1,573745288,-1,222055633,55255093,643426883,536651257,801751815,320434638,877936506,334602609,632698225,822329702,361907518,-1,174346064,145381605,-1,453426905,553130062,70152743,537118786,-1,535229724,-1,527620732,-1,116891868,-1,487734601,582192521,991369423,-1,-1,715282240,542950666,38549177,844370760,392292324,425522368,356238119,804874646,703571219,-1,159221313,620465900,698128944,-1,524589093,-1,561164520,505676178,926974746,-1,-1,306793264,287019827,466408145,384384309,160889346,66039897,767816703,-1,855372954,-1,85458626,568396566,134085224,142819362,335817622,143492085,-1,578317814,-1,-1,402242511,499994706,405716621,331078808,522165193,260960604,-1,758047254,839413309,-1,24000425,813173455,-1,416394500,-1,151337670,555671091,86480846,-1,-1,772794098,209223541,780727834,246989068,-1,-1,986503740,262250224,-1,637551699,-1,294228319,66321536,160184013,-1,137849751,-1,622528459,606616070,760996378,929758180,-1,442471514,33665553,891260554,880613429,229045059,615100821,-1,567327371,-1,-1,-1,-1,655246014,-1,926818598,154465306,306430209,942413323,444417463,830268535,165561550,910270369,480859336,829725364,613749031,-1,365261639,542591205,70707063,-1,-1,-1,318106357,135925138,870889376,51047007,-1,400387985,-1,666306981,789165389,-1,-1,6877794,261461163,521991570,457168364,-1,153074025,998165436,958278484,157761677,207972705,292229770,722292283,478033947,765371978,752155712,-1,117732171,100989150,957707975,522274864,573355555,10745505,404624903,-1,-1,67164907,323156719,188115176,864381952,89354707,712031692,697475312,-1,-1,-1,428375071,-1,966571711,-1,510052308,-1,738747275,271817687,-1,152652520,737920702,542524563,69607645,-1,997936402,934335422,640777013,376141774,872879517,-1,444228182,228432340,-1,963690555,847896670,538989332,302538504,714115345,245486327,770799699,44791395,-1,558566533,-1,-1,241338652,860721928,184138150,888511826,909967362,987413800,252648143,903132087,239780374,389318978,636781548,296642746,-1,-1,-1,-1,965055953,369679809,966863722,-1,-1,938114039,-1,825119637,-1,-1,-1,130999126,724212101,-1,684154370,573707390,111076777,-1,588437989,-1,-1,-1,805005239,-1,-1,858495331,97999556,707580573,535607507,-1,180728471,839724663,-1,-1,138946740,43045028,216535244,644313408,-1,638949696,-1,678257285,-1,835936594,774034704,-1,-1,354744185,-1,-1,-1,736885668,-1,512848704,372467001,338958891,527536898,-1,918060724,982497389,-1,410530053,462925885,505889056,789215557,123866538,386230629,339802659,230083762,161883153,32566786,681162770,391691906,158748643,918505594,965154482,-1,-1,-1,-1,-1,440573339,260026499,-1,59759322,764754077,769289697,-1,102588593,835734643,862764806,103394397,96419812,-1,303748446,731629470,219090197,732544546,777076799,-1,-1,627899054,-1,159735241,-1,-1,-1,174191724,635393284,425046357,860221062,-1,872269269,104249830,437743290,789653028,228598169,299981739,867525044,196146647,371321434,-1,502127458,89276174,62504637,190292789,489889705,-1,-1,677738392,384206104,461030266,139710767,-1,570731165,465286054,-1,588521911,463808978,639287797,321634768,332544627,-1,61897863,-1,502545759,-1,-1,-1,-1,598480694,4708536,827603898,-1,221375725,822890162,127110201,-1,-1,953177738,-1,603658812,327781661,852451636,800197965,97211373,643052371,284704969,755783820,577241678,623327260,290393561,22995452,575385939,2345983,986893804,-1,660829316,967901360,-1,-1,-1,838102228,318162582,502209474,-1,-1,-1,788121324,436393234,-1,688117306,54518182,379337034,199137599,229840725,-1,843740758,207216622,-1,-1,305902419,638438997,908030803,-1,750835755,-1,585179382,-1,228379196,-1,861128605,178154038,250516769,24090821,236873495,273682088,234572929,-1,427154775,874849851,354543710,715356593,133158395,719720769,90287212,964970564,-1,864961306,213631112,63513449,-1,78500773,213422999,-1,755292102,729689431,146214906,-1,230742122,729891216,221204503,122904683,164410541,-1,-1,736832298,265196636,640841949,85690152,865677179,967027407,-1,-1,584329116,439772305,890358200,548262696,503670716,619601083,103173964,362632922,41048880,994838215,51236200,185673073,263939784,27570746,845551369,316695122,467473307,545264337,327245834,518852098,-1,678673244,871823102,680796931,-1,872696754,958170079,518507145,652972990,920404816,-1,335473507,875806613,401463768,541931118,744596166,-1,331442275,975196269,334644068,-1,208089016,-1,299149588,894934478,477293463,-1,873894900,378974204,306291,-1,-1,-1,950065353,271057151,984378631,174118009,60638398,948408426,548349944,-1,596961623,809347821,994120210,-1,-1,333803016,837833405,361812796,558622035,-1,-1,-1,787235114,461337274,553061038,-1,-1,641406529,347352706,-1,242579728,-1,310593182,524460457,439717576,825305667,727312420,246418211,288201712,111590704,-1,784558672,-1,-1,467832021,110767352,96714208,-1,709721606,298748917,-1,627859350,232051863,-1,980113438,-1,598025275,625548330,-1,741298954,458625431,150144367,58172982,760066786,-1,-1,286608477,241664380,109367722,783293729,73022549,-1,775772568,-1,435753948,756302760,493501196,278823436,867585751,673065385,90973201,645602143,116208498,351557197,549166059,-1,439360936,-1,727171134,518361075,448604423,722669633,822717334,-1,890859805,203803848,8399076,627327144,-1,726683994,180008299,724241080,564247184,61060117,-1,643738281,432617926,790066245,663868439,-1,99649449,796954928,330139274,-1,31780299,-1,324021268,728630311,-1,-1,912989305,-1,946174224,689722652,-1,865217152,25356543,24697864,221054355,417528650,177926958,97256924,982197509,578713427,-1,16825806,-1,25690012,-1,-1,-1,821585921,522308077,107135029,330377182,-1,540825828,-1,726168168,-1,885793743,251707101,-1,753673122,-1,856880845,348775410,200460833,567190977,65697971,-1,134150336,-1,-1,608285411,413070249,588363223,499347261,969112956,416364943,181794354,-1,-1,634457086,-1,-1,-1,324437269,251571892,-1,83188018,640967550,-1,238607635,543279689,844814877,508762784,677497665,527797973,993005305,233811531,-1,128417211,97353821,-1,505283519,697148128,-1,232792531,415779601,961186661,-1,-1,-1,921545738,-1,232076380,743206062,438899739,308016937,988327848,704576499,840002316,238662101,-1,256353717,-1,-1,302962533,799408142,74933168,-1,112018537,483292538,3270151,626779593,-1,551228669,630107874,807263161,679494731,155657232,869319457,469028291,91448573,323110451,339206384,680795354,-1,-1,708798467,827139767,710517816,434850397,825549920,-1,968406822,213337985,737225996,988121171,-1,88428823,-1,-1,-1,398247355,-1,10848647,918700036,990877773,167401343,181302107,160953042,179693630,180814436,425980731,-1,292974815,724661837,819727300,276888585,558595079,310500625,-1,38770376,-1,288038094,944301534,9129255,-1,661244070,-1,459616541,-1,-1,-1,396476235,-1,-1,-1,808495131,16951975,-1,115088320,-1,-1,29016060,771687271,967591524,-1,-1,-1,727423542,723661105,700211755,79508899,-1,-1,335932232,-1,832151156,180414196,621068692,558748273,-1,-1,512713,462318044,-1,-1,148176891,622817172,267457896,543769653,306619062,571126953,-1,163261392,689040585,457039479,872997051,683518631,239708795,-1,406450654,-1,-1,746839398,633715513,909550284,443867513,356543163,293262274,715238104,25990264,274926504,455307225,-1,38952118,30607747,-1,358459497,917798954,-1,-1,948133264,79520310,-1,970766556,662730185,567215519,27004179,-1,577008404,980274297,322099234,272505434,-1,272288380,351360237,899171760,653474762,212838889,953469480,874765796,290725123,-1,-1,-1,270418190,-1,36181165,753386607,971383603,666520339,480886267,-1,301664428,703409020,867436057,372998158,530705208,121337439,365248466,-1,-1,894426511,628754171,237374673,53579423,435218061,576339386,-1,56766280,-1,288958358,675369052,-1,689162810,845258364,398720602,526726304,40249467,929552215,668711992,-1,67970070,793517167,-1,-1,686236526,622315115,816205508,21215447,-1,214932050,413888569,394090290,-1,352033851,287280850,-1,430177585,-1,-1,-1,680985822,873761603,758110,674656812,193545604,-1,-1,-1,-1,-1,937419695,477306014,623032258,-1,693757669,392633524,-1,868426650,575983693,157311875,-1,35242766,851864063,-1,914065053,475006381,774850365,699875468,523652962,471988806,-1,540561149,21337960,291790591,381400181,778364213,326580242,-1,943778236,-1,-1,222957608,-1,302198815,382272657,202446815,762965730,42961190,-1,-1,-1,726683670,-1,124328354,63595248,446948840,181898966,-1,395292448,-1,981816436,512136733,-1,269267023,-1,121604291,276784858,930119559,834949772,-1,-1,465103037,240712292,-1,382140608,523538197,430743247,262972680,197747525,-1,774335807,-1,348273913,110179254,98334654,307165339,-1,-1,207307337,-1,460155619,108631616,49924328,152163843,-1,918794335,129182880,954150944,583643146,660731953,253075133,303425570,2238419,-1,910116281,-1,-1,593843747,-1,838562166,41648577,-1,327174535,-1,-1,708979043,967830515,392253025,436753624,762820978,55948885,-1,703742864,-1,716156725,-1,41249995,132895548,379654088,-1,142183297,-1,-1,417655374,647752129,703644530,-1,475546898,468875955,441980811,846661928,-1,867169249,588291575,-1,-1,208989613,521703168,-1,979017440,84621710,132618294,251487010,75932319,-1,-1,-1,297507564,385846694,-1,505063147,-1,737266562,137731186,-1,-1,866152321,838706893,722436022,-1,981176485,148717860,-1,140323096,-1,-1,280136868,894220433,76582585,976051366,353849715,209865745,-1,869819496,-1,343074155,395414325,131566268,-1,557151473,12421289,-1,-1,599315997,310187061,103140794,328411340,167744587,-1,-1,529961521,454460879,917541038,743026169,901903479,42859910,-1,-1,999073628,807419098,614568379,-1,-1,589201203,-1,462095000,110923902,557905763,582108589,456373093,790096269,219674500,28214619,99531127,646019522,-1,664096516,830657100,180182806,154179001,258000922,693863071,-1,217745300,631208855,273534176,-1,325591037,-1,306538006,-1,168588894,-1,-1,54635700,175984531,731661151,689363491,91496846,369953719,312635683,-1,733785036,770823585,123355375,644540913,912646820,44268253,97228974,624020855,464306374,136807469,866864895,834844046,690092260,754033417,633532697,-1,-1,431441542,145066561,578181840,149035025,860990690,945676176,501972486,-1,565002329,841643389,771163396,636605723,-1,-1,903408092,727308185,-1,464375453,845392778,867853973,-1,631253666,-1,664193108,559936082,-1,-1,605970206,-1,729306187,-1,462637785,2956315,54249352,-1,41983886,69618021,510836581,376067470,775435897,-1,690125445,603090169,615301392,365098655,-1,713052231,658407773,-1,422164791,480955544,8577142,606591113,516501153,93412335,587542515,335256513,361896616,-1,760592013,773444613,982900115,-1,-1,-1,862801741,732584010,-1,258991786,-1,-1,479413416,-1,-1,216963521,991538963,294152941,590529978,667273284,991601554,320732535,-1,-1,-1,507035629,952660209,-1,838177876,-1,-1,-1,463749582,858281761,710157248,-1,435856846,268567190,-1,699711720,-1,-1,875960077,790191071,911565463,231435986,-1,372513530,-1,410893453,-1,-1,-1,613753934,-1,949074001,897180963,979167420,877697028,92602057,639330916,-1,83156592,55187277,432800531,267781136,989786883,638955975,62015310,995535386,908428491,377239502,-1,-1,664174719,700368165,189177423,574901644,-1,124842081,-1,-1,159892373,195855339,-1,672518756,-1,491116790,-1,997315260,212170227,101536324,127548040,789428427,700443789,-1,451915354,-1,191302333,-1,482743492,-1,758964972,411122560,-1,19802074,165425604,764293704,947450059,-1,-1,629984538,-1,461753266,284951888,442085637,-1,796072028,223442652,-1,426490873,134152611,-1,197832771,424579068,884326316,880078422,850032793,193431239,-1,948803343,116454190,746711751,86387921,-1,667852482,975743012,-1,554534933,175774337,914509774,523637080,93516167,28289662,153125224,625953851,-1,528313625,540653241,347028655,-1,767816788,869312033,-1,152821352,-1,721803344,146625980,195225056,-1,534334972,127653089,251628795,620935824,169494224,-1,79555215,-1,-1,343585562,-1,418492664,561141101,-1,63000272,98799198,436181258,-1,707768967,211699092,-1,280617109,116097869,-1,586825849,-1,788479514,313293975,80017093,-1,893810949,128531766,237505495,-1,626511139,593773591,-1,-1,13875216,898652827,298547542,-1,17123832,966261273,-1,-1,73636061,-1,-1,546781137,749955519,33994520,461293466,823527884,116221542,147191736,77715027,598311463,677593880,-1,683337654,32313539,694262233,150471383,133472979,782546172,662887003,625816103,299577528,365445983,566246570,782647453,52449379,787144352,33814965,412953277,-1,406724235,379917481,352717538,578939443,635204539,-1,-1,426397608,402680487,752212516,484533418,796678004,-1,784161045,-1,421022404,-1,266993608,-1,442740347,-1,222970156,663816174,-1,78898203,421861950,-1,398084343,836036026,14896470,579999781,788650686,-1,372707445,-1,602770210,-1,413924313,-1,585094566,-1,516970260,17428697,719693876,737786098,163812046,626233403,605656101,241754374,-1,-1,-1,-1,433645601,836225010,-1,970050529,710709966,818969860,215758767,974423372,930710173,139161908,-1,258746668,581259969,788291036,715100639,-1,778304124,359217158,176625232,-1,80428451,824858269,606824034,277495980,207069852,659777180,690137523,887936303,770566107,335901889,-1,92263119,834374174,839685307,279054409,278301535,732955672,308096230,982287876,754726085,977890396,255663596,821381356,311419799,-1,427298065,270048706,189262900,200536104,854500001,198091262,252441052,14556688,332782235,870565847,-1,651736185,-1,193838091,-1,-1,616641431,831943242,384918075,746878650,-1,756766888,279867000,667589919,599339631,-1,449990870,-1,817050396,152842103,793649446,-1,910188340,-1,-1,501728968,494883144,-1,257194147,456147745,559098608,271859571,224398397,569103097,146243203,867788168,256900866,-1,555266856,346315549,-1,70251034,-1,647059481,44626447,398260940,235427898,114514646,509758015,914149342,730794263,859352051,526253596,110288341,-1,432214473,321217377,-1,113842130,368833957,95820219,-1,182307896,695341360,632245727,-1,603490048,877259276,377358965,254546819,115889402,369487201,-1,188538847,-1,-1,170585460,310047116,977577091,678823362,-1,397344081,487204345,422930612,329376107,-1,-1,845799656,-1,377353470,704196439,493849473,-1,-1,161245688,917010866,259923575,109606258,879334224,-1,520302372,679322139,707649365,760188000,-1,706638917,-1,821071433,456938147,526116555,486041905,556258137,-1,739485994,735926610,-1,764674625,966623187,-1,-1,338747469,338475360,124232710,129170910,387076791,832826392,-1,127598806,230675055,829609289,802701939,129239091,-1,-1,478830277,756040151,-1,-1,782172786,-1,778104129,-1,687647200,340592984,517638911,785302853,29927537,773109608,229591898,289763899,702528647,-1,783878844,416000532,694004689,-1,634057402,443221304,970493137,593196349,-1,655972539,-1,681120529,-1,537898027,-1,628680371,568795434,145366923,292207469,155807532,866370912,885378776,885462450,-1,786325800,-1,552132383,577017482,-1,401314260,75962207,-1,756422518,-1,-1,171309230,434709196,525365302,-1,-1,858108854,560943087,130302445,-1,848104925,764653667,537657431,339259819,659130258,109746326,82265494,-1,645337453,713539406,594496969,890774408,-1,738554125,489526809,729312381,715478399,736647772,-1,469766129,598693175,755278999,795174431,-1,773993763,404716346,-1,461577789,190222405,-1,-1,282965231,297443999,309398707,22076074,703814441,733334063,432620501,237515892,331927924,147130761,75150345,387840198,406395269,-1,524018604,429782032,678700295,831613889,-1,-1,286935794,-1,616499582,74414671,371423578,121494357,345895137,-1,-1,646002444,399669476,31049232,-1,421415935,974434973,59205259,779011263,199327904,-1,539636530,831011658,-1,342507168,226775316,-1,812219058,643847931,816384536,78432033,844989594,794947376,790821316,-1,-1,186308345,310601369,988540086,50814341,-1,389809903,544650365,267320378,738602943,547093047,616871541,394956359,890643349,187886384,255086191,-1,517731274,727791661,-1,732560440,881686992,-1,788431918,827291879,462239253,315780579,-1,193681275,326145709,858343425,-1,542834925,-1,374541686,821620711,691842021,-1,-1,402857137,51066810,-1,886539972,-1,-1,121621189,770748452,604127283,32375581,270989330,919432986,83173848,-1,-1,-1,884905439,846033840,-1,-1,-1,858971258,89637199,445247917,180593315,-1,-1,630147843,751485536,-1,707732829,987056142,90020462,235122887,215686637,627244768,803746545,-1,-1,993235833,565976953,148295284,-1,-1,-1,947328128,147671878,939850769,824532188,287597363,866415789,706099146,522131637,362385589,365460642,12376860,-1,-1,643349638,336065612,212665365,194199937,713471444,906129469,-1,-1,-1,483074696,-1,-1,-1,-1,-1,-1,-1,490740040,-1,-1,641246427,468193776,-1,281389450,356844285,-1,440219690,-1,-1,-1,-1,588600913,143428015,461803555,-1,-1,444656558,847881136,-1,229211921,176194996,404534712,709783781,645460312,-1,-1,450933600,808291224,628673573,-1,-1,-1,129375066,734976804,3965501,-1,449007728,-1,-1,-1,-1,247112439,63035503,-1,193727724,147478259,573791933,-1,382428927,582225875,-1,-1,-1,182649276,269453233,959106366,871155771,141539616,777230683,-1,763754562,247158145,840036272,765204264,184039521,488227027,242735046,-1,-1,-1,285157793,97449194,367202548,25523727,964685862,410263062,488891020,986280569,449340238,95654328,804244805,723083469,-1,201184180,82543920,595815520,699689736,-1,-1,693819108,-1,732015412,67242707,-1,632089130,623452634,-1,438416395,997391603,-1,253319552,561817959,-1,784343066,-1,461275124,-1,744810095,870859371,-1,-1,522604355,-1,797174858,601058909,971897104,186514530,-1,748991310,730546000,-1,280709506,353709263,-1,-1,-1,135642010,-1,464466308,811895772,-1,280387174,902691058,82213281,-1,-1,-1,-1,642923975,937381810,28510053,571296910,687887750,975720905,131789166,32552569,-1,314136042,395850733,862090200,989342901,404392016,475721707,644416200,-1,853850570,-1,443402806,902585985,928303016,232028540,898961029,434036788,51168427,-1,734001831,127921873,-1,-1,875158671,712783642,13829380,-1,891268649,554868400,787054814,-1,825704957,833596948,8509857,910438890,532029569,175105807,-1,-1,659063291,192839041,801687086,-1,643599713,960431300,703949569,-1,323911666,-1,263868850,488252194,797779853,929122522,576361464,-1,522119981,832034405,-1,-1,-1,394032134,-1,120010189,-1,27953598,755746228,248301973,378254704,719670919,153504371,-1,-1,-1,907257693,5147600,478515443,-1,637714879,-1,293611969,-1,-1,725843632,862432331,139199859,153464140,309120947,724957026,73321996,43116793,823690342,306364189,806820328,-1,537031371,-1,908457597,717568254,-1,70310884,274169722,359619904,-1,609351154,455562862,683861506,507915022,754677576,809368002,-1,300948841,-1,816010207,-1,505643279,84792482,-1,-1,226906132,126706112,932303965,699070816,841548378,713664327,-1,-1,-1,867620008,950205717,182551002,73003963,611886789,475668368,352615576,541603443,622304604,754289918,668016808,-1,776073465,170517779,-1,363966154,246793888,638096198,981567494,931360907,-1,-1,-1,-1,674523888,312397108,-1,205814732,89262033,852375129,579506335,507206310,987469712,620146891,87626224,482693402,-1,87279622,246693584,258304565,676972645,594905824,622363992,24226608,-1,778175767,970402849,449965003,39381836,215328714,-1,965809329,-1,725064517,-1,-1,646707625,-1,436521416,766848111,125339065,912689790,530938647,984066797,868128791,-1,-1,-1,-1,533767123,394061914,852010653,615183357,282448581,-1,30080761,772896938,278274226,353696196,516290460,906842172,209845722,-1,307648064,112353928,221952650,45890610,473566502,756233286,-1,784730078,750835118,-1,-1,390552538,-1,471954423,998736389,311063020,324742557,845862708,723375125,157284185,-1,180533482,480559224,-1,641149873,-1,202017248,-1,11916883,-1,13384732,166186152,-1,174581675,-1,-1,-1,260598372,560271076,-1,-1,957567155,46405379,707106773,445679143,390116133,-1,956722050,-1,-1,377270371,988173502,892150854,507479960,667413199,415795627,-1,374857776,933622057,287849412,35201718,218362635,987821204,117031130,462494076,839319082,-1,501137089,330292259,-1,37787314,-1,716763424,-1,450976471,989726680,511360485,-1,-1,-1,717199402,450493647,-1,905762036,89884435,-1,-1,464437063,-1,-1,349503986,111094077,31469796,561132040,605828738,190817476,-1,49026563,46667146,-1,809190393,345766355,468953619,-1,354485508,293677057,542401988,955120369,828541677,785582272,659847480,270935168,65788699,-1,-1,560232878,-1,562577693,-1,331598404,345618333,629016401,640239123,935855968,-1,582946892,30989780,-1,803967233,914406420,880146040,-1,32949389,712152468,-1,228323086,-1,981649516,741995418,34186512,-1,119705912,694498678,480227719,45771273,-1,864971912,258803115,174415867,580149079,-1,844123177,134404114,-1,593886500,990296143,297574705,488957922,-1,875137875,400876266,-1,674880806,870183587,112907483,609865937,326233732,-1,-1,-1,-1,-1,677763505,503373802,-1,131482673,706643129,-1,479708068,125420809,576332172,821457580,841125487,-1,114144225,664495231,-1,729311710,730072074,415376847,765745414,-1,-1,-1,-1,-1,379601654,180087065,250539668,656964533,-1,212609954,346000286,-1,506274169,-1,759408697,439669394,419839699,678220734,700095906,69950485,-1,-1,-1,118978591,541855803,-1,-1,598746916,725099686,494094041,89516056,345198640,-1,359387811,191361422,39269158,-1,-1,175851914,779872669,-1,161790418,-1,163972041,392470179,-1,-1,129203742,991541208,990544482,230778877,546954608,-1,692733330,870213046,103409574,-1,324586256,482000674,925681948,309733934,762834436,-1,812647157,688085839,460780112,451940673,229413932,923097620,563500679,-1,441948714,679371673,157379985,673695398,856587068,-1,-1,-1,-1,655676756,-1,406681252,-1,382844547,818606051,372976367,101036242,7647236,597451484,140087186,565457452,617613031,502580478,-1,-1,5905486,-1,-1,284874254,-1,420829361,950263295,-1,294644622,636696096,-1,956443913,425787382,-1,912308014,863265524,168844693,-1,303191985,368115692,802434506,-1,945320501,171489579,399494279,373320253,685027556,-1,50981057,567307070,951564199,-1,571939595,895000606,416088689,-1,543052998,-1,950172376,-1,16408170,-1,-1,-1,-1,561744727,200463959,747703694,485192463,259790631,-1,647482559,255312992,896917085,484915322,368792258,709512623,276262029,799122134,-1,-1,702852697,765833739,-1,415916550,969705978,-1,917160865,333327742,527795548,844212490,-1,575019819,709883162,857932747,-1,781324517,746195737,24556102,50822510,754684505,846114305,260704859,978025573,932121580,-1,52916069,-1,-1,713588836,16444700,562546045,789221715,585804903,-1,928761670,889138174,-1,736665754,-1,-1,-1,-1,137288217,-1,847631481,-1,837012925,42159428,297743461,113677981,306304790,-1,361773209,-1,501272453,465738559,589797764,-1,627435975,461873151,-1,656874755,509401822,564362647,-1,406780090,-1,179990009,289295920,-1,84385982,323496743,656684696,464544767,672047618,-1,-1,544260125,358725264,304345301,533581206,161955034,985199387,698099569,63926711,220787403,742499474,506807877,-1,-1,917330274,-1,863270461,729483742,301881761,420907075,137004022,-1,618425575,957682367,-1,-1,-1,734669265,-1,125970074,696653893,135273989,270748659,377940912,-1,-1,-1,-1,-1,160960088,-1,-1,918667188,954287150,-1,-1,-1,468486631,603929518,-1,444040010,379432256,-1,241063444,853944137,-1,401178224,915775413,627324490,-1,227821775,-1,-1,240605064,508933290,685134309,156084853,490697826,-1,-1,899554983,674923675,936205498,38138451,643955457,198511384,634072708,720715481,603580183,-1,635367037,739896160,-1,810723045,-1,430134368,-1,-1,61881879,-1,960800420,-1,643595903,964077233,354911522,604048642,-1,22058797,510688231,796817111,227666571,-1,434153315,135981224,553938028,388952524,823788012,-1,875586847,185250518,227756920,-1,166512483,961699788,686995438,442887248,792513223,989015947,445088115,183871784,822695970,167191407,646704960,196376730,610966313,881048728,195746834,205884061,770521231,311451010,736183930,895769412,922840229,551973253,703408708,445331497,450420355,845088100,981204694,477714264,76702049,-1,-1,-1,122612217,174525638,517894762,621698730,93194667,526142261,725138743,441917150,-1,933354867,452376213,257380269,-1,734809581,987733852,633891535,110018672,-1,-1,-1,321769130,899102693,-1,567223890,-1,-1,354183743,893145208,-1,789167193,-1,-1,-1,-1,759185232,-1,-1,-1,-1,499496199,715093574,-1,39235451,-1,537029421,372181832,877467815,664671086,763327181,606909836,417390882,-1,-1,-1,-1,663991403,-1,476168609,496235984,194957682,-1,321906914,511779357,972242488,535726505,253919403,-1,573648592,995016809,-1,464169129,939562285,268632728,454276597,11176622,88689261,488692670,-1,510111715,-1,-1,500247265,-1,-1,956087196,84768622,361791667,120583779,-1,538006555,444342863,386700757,511903734,990775411,-1,-1,-1,-1,641835688,905003466,689036625,-1,321292918,-1,557924697,1096066,971157024,849764428,255319396,-1,527184954,376261413,560858317,818360690,398147222,853773662,878803085,-1,928683816,586015245,200918717,-1,-1,525434027,362142775,471175863,-1,712180496,-1,-1,830620415,847182942,-1,-1,331576017,-1,662025489,-1,419074940,-1,-1,359650468,961027155,8348307,-1,-1,-1,849072598,620850503,-1,-1,-1,376196117,14921941,-1,662753303,834553641,463382058,-1,374970264,177275454,179164517,-1,738920838,828597699,268328159,899921209,344299306,125312815,682479236,908830133,485869614,-1,804031305,785878747,292915136,892661664,-1,738329256,102527088,-1,-1,-1,620995940,882584701,985691662,10379612,-1,239610434,720565784,-1,183353109,274319882,-1,691606810,74791707,164009746,134583775,621198917,367506970,-1,-1,895957387,932904934,720925799,349977088,848021279,-1,361595704,326839598,283995721,-1,-1,773851451,981514969,894994317,-1,226019888,37952050,-1,227111483,215797295,280084807,108737544,-1,-1,-1,242018265,939422997,653526477,511103465,-1,456434164,-1,423461255,102448096,91637730,146931862,-1,869074048,-1,-1,381202206,809947836,204409241,459627250,93819637,304006461,294821078,282998671,419585732,987965467,136068074,958326987,236432289,233903136,23155658,-1,9398078,567281290,406753544,-1,772813828,595601819,505062089,-1,303408363,881682437,225952127,-1,16414771,470701489,732218555,483729813,381972381,897713847,76668752,-1,149527826,-1,314095053,-1,-1,738011351,539322901,787788579,-1,335106467,221984497,219943166,-1,-1,-1,-1,856479509,-1,506270576,717250442,568266699,586371045,38258324,863450530,464352709,226979101,444774784,281054964,198601085,919076793,809439840,188783904,565229105,582562111,972501513,329330827,816408873,927981474,138285734,517703082,448293373,120141753,313413529,707228843,112338458,888989363,-1,-1,189280954,732730891,8644523,284795007,-1,933076515,496752351,121283420,471659501,-1,491275394,-1,832820454,944562179,565049629,-1,856409611,598499547,849291985,-1,-1,-1,446541568,920314043,-1,-1,-1,957575412,255062755,208853860,-1,-1,97351997,305911103,343160565,410803511,-1,165569847,-1,904286965,981045649,746397355,240947001,-1,410756958,732081968,409295853,43557521,-1,115220136,538634248,596424274,828064347,-1,588123882,188408108,-1,990367786,-1,726964713,632005612,142036983,232484786,829013997,376761428,796759366,533468531,186696124,134004155,418660649,-1,568737410,181447419,-1,-1,-1,-1,13778578,71266170,939409314,242808251,712360725,933958585,329232510,267140854,685153270,-1,-1,-1,522260087,625085549,307908957,279496807,566687087,931097480,620753774,716072846,656326275,-1,350181641,58711205,419887706,9245400,912225028,-1,-1,410473815,629541453,14795471,426196212,-1,890547481,-1,-1,-1,252186009,273816064,292876761,-1,332553064,553915188,554749752,-1,540620330,600875793,117673233,827888355,-1,280285289,603980048,538085863,162230928,-1,776182315,890899666,895144266,807978312,-1,-1,-1,688025593,-1,915624358,704614054,-1,713565209,795939146,597600223,-1,186210926,-1,487951817,368542181,-1,-1,-1,-1,743987668,274433484,123521730,876674839,952508674,-1,8712387,591078259,26408654,341062866,763197906,469518581,-1,778479683,282393514,562861014,-1,36233233,180959684,309792061,-1,813809443,545268002,993766270,-1,-1,-1,-1,699307600,-1,-1,496568109,52836873,790078097,900716720,866304979,627931335,660148940,-1,370501496,532426169,-1,-1,881702879,-1,80014414,38711532,-1,359195031,-1,242355952,208162453,758299313,-1,965345507,38942968,840254133,922434170,809486618,806178537,340632564,-1,687708396,155379423,808289997,623581643,-1,-1,-1,652242298,761827538,-1,-1,-1,562537405,207526392,226376390,-1,886440395,-1,-1,155912533,-1,420429191,370955821,710816190,-1,776788470,-1,538261743,338683054,860455263,-1,97943493,253460821,115938997,350144240,103381376,866411753,747140454,-1,357242867,-1,351489086,416187384,979552382,839344078,-1,515854799,700693643,433466261,538541446,352402190,786660552,-1,925247599,212918598,905132909,241573840,-1,686200697,854412696,255884694,-1,-1,631859764,86740686,-1,-1,947638095,601161062,499744612,401629224,809174549,33259133,-1,-1,468755187,517702463,313583422,137911375,840719527,281819859,178525120,506952081,-1,-1,-1,107331453,723647284,352528276,301826251,144070576,290654681,366638552,158635200,454284423,63465478,778177543,409715555,25744853,447510700,-1,-1,-1,544317622,60168102,618874620,41417589,614127934,556214465,7638180,601807535,-1,169427703,230880421,-1,511060877,597360434,-1,361151346,692344894,987708311,344721764,665421027,854973592,129127411,983818633,997776283,180983892,234333039,166716240,319645969,192900532,-1,164210297,-1,-1,573547201,954234768,-1,-1,-1,351495465,874367231,951810769,799471458,-1,944912742,-1,787636041,-1,-1,599758590,914098513,-1,-1,522150541,137305186,324232602,61049782,71495717,-1,872481329,-1,375233387,105782611,194377606,738080035,836883528,929788255,-1,654590671,-1,129348584,-1,630034425,936271227,901131566,729905893,714377704,-1,-1,-1,977680591,453879998,837418948,-1,-1,318190710,-1,745496244,-1,7333831,16956298,811376306,535626793,719669372,-1,459348934,988392008,205040157,190084977,140909303,864326860,361877523,-1,865220456,48967352,33755617,-1,160339634,425525743,837577775,155503174,-1,-1,112015259,-1,337556634,-1,938313630,-1,7744534,509568179,-1,405094155,571345201,782923681,409509083,719788291,377856146,788641010,708498944,155290101,440251308,453342196,90298887,225131724,578787487,164670181,120133943,938093334,876728946,963395760,892452139,384790435,-1,-1,985848849,221339089,-1,-1,109693375,-1,265693841,2738609,168180883,-1,527825043,55039211,668460176,-1,997474459,-1,435113822,264948160,-1,-1,-1,-1,-1,427694675,961437961,212489227,-1,-1,-1,129678456,894627432,361375833,306264822,-1,-1,175000004,604546649,-1,457400062,273478721,-1,-1,817398442,-1,678818043,-1,647517268,280287186,676923076,-1,-1,585324011,-1,338672657,-1,917163273,274971713,-1,480985969,257809100,679098898,199073701,753946647,995833919,294411992,411663038,732271310,-1,22067306,-1,93812048,992632034,866941979,-1,668130952,959220998,-1,726365449,-1,385521540,165789450,188834772,432565540,952167462,360177391,814221344,165044016,649521101,301525838,86498516,-1,950868673,81092690,61982406,863173551,677475600,-1,976708117,-1,733285536,-1,252630408,-1,-1,543839006,-1,-1,-1,-1,68803435,746075244,74972097,-1,625740010,43883173,369856086,-1,631285205,-1,777623497,946647652,-1,-1,511367111,413455400,597996832,909162434,750317612,21064770,-1,773959094,949062998,477147438,422674907,-1,306833061,337073804,600528673,-1,683901969,132528719,-1,-1,882832030,809314522,698829535,260021674,-1,-1,850254897,229106500,-1,794321149,83039474,633308820,336388105,955571730,860562812,-1,628042846,223267038,-1,367744003,702418346,565505413,478614613,85286026,54574348,939722026,-1,211720594,-1,404602759,785503183,-1,645573645,-1,-1,526705337,-1,794068616,476342193,-1,750197098,-1,757697479,437557847,669347806,756057868,690179070,143926154,-1,861155517,860035887,500372494,-1,299447564,327523455,726130222,-1,637332779,690114874,-1,-1,670163140,550681437,-1,-1,976095619,-1,775488610,33926160,687534319,314177722,154589506,505357311,-1,446485130,-1,908917431,-1,664609834,250376071,546699103,728360875,737970087,64460678,353588861,-1,-1,855543417,897780632,794755380,950990508,413651843,187056331,-1,774930125,647116624,-1,826169030,211173799,641972988,-1,397568994,694825057,-1,257358836,968492778,263876784,915975000,377049497,-1,528609999,-1,217991059,-1,211372487,-1,-1,620085253,840733536,576308673,-1,896289173,-1,-1,948908226,-1,321339074,144557996,-1,-1,-1,447145253,392999778,47650345,18383874,645561246,800592649,549775990,541728180,760349137,418722260,682299189,-1,-1,-1,908670260,218360660,747959592,-1,931745650,709997001,380975651,202708269,720772373,-1,962704362,623944128,318576670,274379015,542295452,330542839,516517638,596100682,-1,352451879,115537911,446318227,-1,296596811,-1,809736293,-1,161882149,-1,837961526,-1,18796933,506992732,439101212,970190010,737912211,7087185,-1,513166547,850157274,688034221,772830132,885157251,230802549,-1,690690063,285640704,278419364,566687642,317386903,475300998,-1,119785529,195281261,871378234,157835743,211337464,989408126,656408296,287489046,-1,710538044,911666992,795175857,615067291,-1,547793413,923158836,802270374,554825164,554588294,645303828,708685313,454227102,39497130,-1,180209963,484099855,-1,-1,180791948,-1,41879377,-1,39182919,829502140,59505817,18030815,91349142,423489363,-1,757064689,-1,-1,-1,216057072,950578790,327158207,417945682,916745994,463938453,783977242,-1,740245115,-1,851665479,-1,581351276,384155331,630772902,237012582,298433604,367585459,-1,317204923,-1,-1,863898229,463367119,-1,682359640,930844236,843901060,468688750,-1,11634516,90939232,325325849,83432790,-1,318508742,878549518,880667187,625285018,-1,624366912,354772089,-1,-1,301600242,426516362,168225754,836557391,284813241,-1,690368406,473964700,-1,454972649,2317971,690616569,68979626,-1,266898355,220937137,-1,-1,232232831,898356310,537648942,494505843,253269927,673433750,-1,-1,312567074,494781486,909863951,636178340,643471277,-1,803069134,612406764,804996761,214746778,819415018,822882376,747387724,805545663,70238975,378125475,156300531,-1,-1,-1,-1,960951904,682926493,287907740,758552218,508445063,711320626,-1,158910399,516692088,-1,450065256,522018449,138900689,934243587,765741110,457738819,-1,355793916,85364422,463046337,-1,-1,664994731,427248088,-1,689471851,729255501,191385883,-1,919070368,-1,261993127,235497118,215389297,164531658,18315653,486613399,767315721,807440259,620598247,610533412,-1,356995225,-1,-1,385420187,94603037,226689744,532542645,-1,611539651,-1,-1,120743117,853850331,756753866,-1,359800046,-1,617415111,749780594,632772722,-1,290177958,-1,-1,193036337,829284714,-1,-1,299534509,434908609,389965960,873476998,184971069,702590320,567791504,436921129,953631288,-1,386115315,976022696,703545350,738447122,777741898,388333002,732234281,548706643,88190954,-1,426031841,-1,262245454,-1,-1,-1,192993028,720104209,-1,-1,591328387,-1,422356787,877873062,-1,-1,331505463,680036930,-1,455686226,-1,609916393,718815813,422206364,103372345,-1,369182820,562835348,-1,982933532,867403094,680163901,932003275,614278708,933899981,832208158,-1,-1,721315096,7631016,148096294,624648215,49232771,909234774,-1,938738002,802455025,-1,-1,24610765,129749564,572141183,381685133,231654825,151141353,481827282,605238206,31005703,810030292,558675643,412491623,83346449,929214815,132747748,340575009,851799849,873898519,-1,975068174,115588090,-1,-1,499455856,-1,753616695,-1,-1,509647662,822276709,657378921,104038427,-1,-1,-1,-1,383680690,600690144,126454317,-1,745824649,702587081,796960773,804182401,652989350,681732285,344598990,375275483,735099734,987394877,-1,540062427,-1,-1,93166829,330610571,271018725,397106971,2360450,872733862,821438705,575608233,559927316,595414680,604292135,-1,165444833,-1,-1,-1,545705054,683276534,-1,-1,116009492,836851589,88004261,375529956,919705131,-1,745155629,314182847,-1,153014851,-1,385436677,-1,296406673,-1,963307845,235393897,-1,963313405,-1,326640084,-1,-1,-1,903041091,679860418,42365191,368249014,962873705,205512735,775644341,91947109,197524108,126087317,230542307,-1,-1,404376750,-1,724346498,-1,719624347,857425377,146342994,-1,-1,485783537,480048841,-1,481112796,-1,679109838,933439457,-1,-1,328857026,885793613,990111031,961634321,-1,365880718,164693722,986968363,85388172,368507697,-1,-1,-1,556558348,-1,-1,567900592,570552674,-1,699902264,-1,-1,940987833,865268835,71017487,664967672,753146889,574006789,-1,97801022,757721233,521698478,160691951,994049680,980239605,890124837,121273457,465417290,628181219,14891187,697639963,-1,-1,833531679,274629548,-1,-1,-1,600428456,352205103,258681344,330201684,574567963,-1,517917917,622886779,842078241,663416245,802704052,683842356,278474445,368877185,-1,921247385,943804545,530030702,253916256,33218272,743514946,815294973,51001971,-1,612901626,779083589,-1,-1,124848205,931789402,-1,755700186,923326417,637147552,447817879,423576049,117460991,111869928,894117413,-1,-1,660097428,663067476,735917511,375823634,-1,-1,-1,107104612,567047590,502201402,627208159,-1,-1,764294924,835902416,-1,-1,-1,702884480,80541221,154527004,-1,469458493,-1,-1,541933226,922778970,-1,839172726,204868977,642971170,930396716,-1,740312203,152730474,-1,-1,320826990,666224715,372692802,642410580,-1,-1,499433588,596149611,922581488,228947536,377082869,-1,777170979,-1,-1,978221639,67970910,934816639,-1,98624086,-1,17712764,79179149,-1,384236230,-1,689226735,488693019,408934998,-1,-1,671997348,383015236,541429693,449947209,925545490,-1,398977625,-1,-1,175056439,-1,851908178,552765613,367655105,273546450,291304955,822387922,-1,-1,683748146,633361760,722261424,437003572,685285743,792012905,123891106,-1,603053642,98921810,-1,-1,593441763,113882648,746977807,-1,-1,399400469,756085948,257079160,332483458,-1,752635146,613424633,-1,997587244,724450393,-1,-1,516021317,-1,-1,-1,389716616,-1,137094134,826923535,36226779,401433908,-1,266068591,278614337,-1,112973959,213613320,230142281,107726243,-1,509691698,-1,-1,579371708,216239691,609501373,383426731,87728190,516599688,679250016,236733503,-1,617107772,-1,516629025,652227804,85139378,796884416,610370920,698281771,-1,-1,25649604,-1,-1,-1,23573183,-1,-1,649421616,12172169,850759623,678545565,456660315,225368664,959587249,57301259,453722354,469924249,88080157,-1,908422330,-1,764616280,-1,229081945,519525544,255676580,-1,-1,-1,989625396,-1,722262418,798457790,-1,868767496,247319685,-1,423998177,-1,170545201,-1,987461660,-1,-1,702389112,818416187,292982915,850751256,456538814,75680209,14456064,525225984,767863142,182256881,-1,631951066,995007589,526272317,-1,139846272,215289721,-1,436941082,351814425,403837387,-1,4611842,335486640,815741538,96563587,244222329,-1,338542529,-1,655308617,-1,-1,-1,158811673,175184158,436926705,891798480,644264489,507819048,-1,585243724,681492249,340139522,707936842,843405302,563163843,530172664,-1,-1,318004795,-1,932690291,-1,-1,349347251,496310380,73392839,63339094,-1,182262014,-1,984758767,36281637,118015312,-1,909518631,724848619,322332710,-1,71782835,444771587,580766193,769592313,937133117,20455110,645475435,-1,-1,211264403,80302969,882620592,63194736,174684823,271352545,760015702,-1,449213136,-1,571190029,856818408,-1,593684625,785261833,580497566,804321980,695040492,14307967,-1,260576148,714796779,304227357,-1,889069304,337020940,-1,729093619,-1,-1,-1,511188815,131217038,755435468,-1,122488851,-1,397939188,-1,243431580,221234136,859738828,425188745,216403574,-1,687036298,-1,-1,677525126,676721411,500603114,244325932,-1,633910917,622035114,82346628,-1,458565329,236471286,-1,452981134,334525291,169793486,754640003,611849810,310326129,394435149,939697149,9209796,784149180,898127078,-1,388170825,336592126,-1,333001192,-1,832986195,-1,438366364,376702261,311331694,578270932,-1,70600912,862372124,539140750,-1,691524719,-1,-1,356945839,728563828,247862355,-1,671149526,-1,311286541,457175094,32942865,-1,67433680,778740179,659301702,419490014,932858174,519622800,846691523,-1,216523202,-1,585568582,87857123,631589510,281068764,803612832,315661379,49773439,847860142,-1,73124690,-1,790558867,631725811,687677264,556556564,173332008,-1,-1,199987796,417085859,850635590,648669202,656408821,692864649,-1,247276540,257746487,644716262,830141713,-1,-1,-1,623368673,-1,354553940,160513125,-1,637007137,-1,156649956,496887874,639642912,-1,-1,782488335,486539590,863581867,370381386,327626224,844242948,821689264,-1,-1,-1,947640876,-1,362807267,-1,-1,-1,-1,479280832,277531158,-1,-1,440864812,342249545,784635840,-1,265518834,641326216,-1,619322411,980823716,371114397,-1,-1,-1,954640454,208238962,944707260,727199141,177008518,995751436,834129243,617908847,829119235,755088332,538267896,535669958,467258313,248739667,491436122,-1,154976960,-1,640718283,-1,689416857,75350706,-1,756763250,997801361,319551137,3321611,765300662,-1,-1,181790213,740432094,734779875,899954123,476323289,488023002,-1,810969644,403048693,23280640,2123247,-1,-1,602948022,-1,304519497,410748221,397174935,620694852,419809418,15516302,182202967,-1,-1,-1,538591200,509301000,53606679,412251426,650730688,533109931,4557364,521465583,772368511,994069845,-1,448701861,698674551,388561474,-1,409681645,185924938,-1,-1,589997262,-1,-1,47708111,545492897,-1,877102537,188313597,230383922,-1,975866270,267193452,643715244,-1,663379545,849213322,677077376,471848621,-1,-1,-1,815386746,633864734,-1,789075448,170106069,894432766,994710319,-1,-1,-1,-1,279158480,-1,265761422,-1,-1,389171101,230665149,774359204,172377741,-1,197247780,865265468,-1,924117512,-1,918038098,-1,503321425,734795291,334973129,92862853,493763851,619780291,542648480,-1,744882992,-1,126517063,443079986,-1,-1,862167020,-1,-1,841872689,571511042,31386343,633079126,97897057,-1,473248794,672106410,859300486,261517471,-1,-1,877022677,949758943,55342262,540984436,-1,-1,872853550,61680332,826680254,-1,90744804,-1,842721554,-1,-1,142687657,-1,367446378,744457518,518051995,-1,459875590,436768005,759520090,26151045,-1,-1,59566617,446470769,768415730,-1,149697519,746669386,54401041,-1,294840403,247448210,-1,-1,417674456,25117021,725956475,-1,-1,322539694,95091791,216034318,171018490,80669238,754017004,941277055,955799866,167485946,12457294,868549173,-1,-1,-1,294978349,-1,858390017,-1,-1,-1,367367169,239906356,520134782,-1,-1,549600986,197784261,-1,-1,-1,808336190,-1,930875847,151264819,225570574,812502260,-1,-1,18407657,82029284,-1,-1,606966895,805247443,250594806,-1,-1,-1,892155845,-1,728346152,-1,581291048,454943591,468608111,318092332,977472883,589031968,442880948,750197449,528383355,-1,-1,-1,314922303,-1,833778307,463423434,15050087,315528615,862319791,298537643,988930883,75841831,-1,53362440,-1,586353949,345729942,-1,884167318,259713901,140364123,-1,917147273,458918052,248725607,-1,814342725,135446359,-1,253356860,618325108,818133171,655226184,-1,962592249,-1,601012146,976775783,263887998,558185610,450847078,-1,537328935,403861226,330590626,100079484,314745926,-1,152569195,998053522,951223921,146177647,77270062,457668687,-1,134766328,564447631,-1,-1,744638070,736805853,-1,618543335,709110928,154662562,918362404,636293173,727300224,-1,796158371,729428342,-1,931316997,936081641,914027856,191909426,993944531,361012139,451769326,300163888,97355528,-1,134942487,-1,-1,515324860,47552150,924677187,214268954,533680397,281963101,-1,46151821,236702801,890875958,888037387,947437250,861743024,68455748,-1,605067233,453933442,462813259,249314300,913687486,421424911,635350557,470055000,851871256,601759398,623845542,404285353,122332224,761263743,996875454,-1,-1,222480919,-1,22946923,881803577,828878566,663268953,979086128,554978023,302146855,261094996,365384104,-1,946835673,825693305,-1,805592917,301419010,-1,753335491,873767945,165378633,952053912,816042797,-1,110751180,460210831,271597911,983514445,17141610,395048052,355443975,-1,25308464,248289353,290020539,-1,999565963,-1,376892599,291867807,64756057,214590784,954192264,-1,152034807,97853940,-1,-1,570687057,416546744,527572400,-1,344667942,282318634,-1,-1,874145223,49617081,61594874,109542174,51494536,872277721,291123617,-1,-1,908946944,-1,-1,-1,392114614,317718618,773260812,893413282,647091526,99104495,316867587,827223195,994606212,-1,-1,994410540,57773336,12763158,834154972,-1,748698058,942785744,-1,504655030,-1,-1,-1,10964309,-1,719534583,40478971,-1,481818957,-1,951135298,162675496,727706665,-1,-1,-1,453782939,731747508,-1,912481386,538719684,27934507,-1,796946880,737464921,-1,773171919,7407913,570584055,799351998,106785605,846682595,60900065,907073445,-1,811595953,-1,-1,587492015,284816917,439844513,933108842,577638867,721297595,-1,336444028,455308092,841279570,710943609,656905722,-1,490690459,430613636,-1,-1,779829612,270966345,100020071,-1,336929717,596983196,375386599,522292984,-1,444086111,377864667,235524776,-1,-1,168328048,984610459,398667373,-1,107492030,485292629,256817219,773570702,-1,700812865,879394718,-1,676467743,882632545,986168989,731844987,779501690,890917803,499065956,861726449,-1,910580433,34308501,520918541,-1,173272545,188493120,561274351,238350515,216668918,-1,-1,121742705,55815951,576695350,511343662,276801457,83688849,353396963,-1,580759614,345307959,276127987,-1,131360964,240374728,-1,242083848,872317546,-1,-1,346366498,677851358,885607441,943334200,-1,-1,4709635,159780120,-1,173482343,10770236,183246987,345952509,715339399,330793761,493068967,892780438,238875547,-1,-1,22390759,429821210,523191128,82902061,373430303,696933528,525401908,-1,546504104,836620658,55945968,-1,908498053,-1,463865980,866844831,261116426,723214157,-1,989878348,-1,521007255,638252533,728609084,343806703,64617408,-1,-1,585433275,79433109,-1,804492541,-1,110720502,531557255,-1,292127542,479866396,-1,645239147,108485683,989742706,549318114,726947866,345993689,502051456,130057562,10661639,829741632,133518033,-1,683453688,-1,-1,970055437,8086686,207034423,851706216,-1,680752266,305045842,-1,-1,-1,-1,482818401,385781463,-1,535290333,-1,482024668,137347886,568360995,-1,956352778,233064974,404573948,489022650,835395686,59773263,-1,484635044,306026046,165430867,671429013,281730886,444380675,-1,968227637,739975779,172632925,51777478,970267355,-1,426563970,-1,429069824,304978541,-1,-1,311325523,558927848,323926723,-1,930055869,630499346,-1,600095710,-1,833923921,383874847,-1,900599797,237959911,-1,-1,-1,44801076,237342686,1350188,-1,490595777,619520682,929447443,442831874,-1,728872538,-1,412607908,152076032,-1,190667263,-1,-1,739218676,241598527,-1,580700805,692394792,921695376,437007672,513835438,65918010,779905584,-1,25603377,-1,913092646,787997272,797201536,65159138,48399924,385185388,76428922,587954399,578606377,566880797,408292412,-1,414926263,-1,903375188,-1,159160831,615499718,360066172,775612384,41870886,290704712,177012793,-1,188656553,195440318,-1,237295743,776247923,303945329,695597381,-1,120521674,-1,531079489,608072419,-1,276033173,894322113,-1,735530249,498090838,553325077,846401860,360466008,373527491,-1,-1,-1,281710434,-1,-1,-1,-1,837836292,-1,24322233,-1,192099605,571721246,-1,500144586,891027501,-1,134395100,164795552,93950685,561432941,-1,280591968,-1,685559181,809980302,105588259,-1,788456966,428754517,14996032,754676813,787343872,125096580,31009677,72469001,34813022,739961935,-1,440046726,33755911,-1,-1,469814581,-1,563050342,879401630,469227963,681676985,987801692,658906901,-1,-1,5235331,-1,-1,996610262,200247476,416399015,133681682,-1,908870731,916445047,12712240,34747994,264391082,358118030,227020413,574858693,886237569,806204144,209202052,-1,-1,333291503,795229419,168748860,906178377,-1,-1,866327286,784478992,270171886,211927952,57760478,-1,-1,74852002,75843723,990796815,-1,-1,619961128,842597493,868173922,823464159,900773547,287684193,-1,466532479,-1,397303322,662595440,236173222,369303530,849738425,-1,104517266,-1,-1,919712993,-1,720746007,957761207,436765090,-1,161333027,98489965,591817499,892453436,68796369,491603518,453746006,180319838,532122374,262738717,765368084,633384828,-1,-1,637873053,499459555,535822388,628411405,-1,890973312,567371096,-1,592398302,493270609,66727043,929392244,272642138,-1,971524266,386297419,608154789,79707656,194139854,951807737,114019009,-1,89207355,472321428,493844263,-1,-1,540258585,548621679,392133737,-1,-1,454310317,347848155,627434947,305353476,472104587,-1,54960121,778360240,445050214,-1,-1,55149281,779622464,384014071,-1,873236811,119496169,603999505,183529843,917250668,232818996,-1,-1,833187916,-1,852390125,217737017,511375612,286580802,728472159,436199132,-1,493081652,40012216,-1,563011677,-1,641936327,-1,116228674,-1,-1,98020172,-1,580697479,920684796,424627527,-1,743122785,247855409,467293552,476009066,717827301,-1,146427345,88570521,241975948,924872219,440904127,-1,-1,629678917,334793606,-1,604203633,527638013,66818814,486295315,236265819,153958881,441425476,-1,-1,298322122,-1,636419618,703576893,-1,577105480,391925995,-1,370351348,-1,200393419,514403385,238543446,262262679,427708271,191176407,-1,869168399,202131597,756914271,-1,-1,690590986,-1,711927433,-1,507958267,-1,811591466,744603502,-1,36485222,391626860,-1,745870923,445815478,431609735,870713544,-1,-1,-1,788476853,887754973,129332546,780628836,745989909,489339238,-1,606045884,-1,-1,778980239,781275648,865157419,-1,-1,-1,-1,587535483,-1,207563132,550822524,-1,143049905,-1,-1,549967947,243286365,-1,831042796,370039116,-1,-1,611559059,362379433,154849029,445916066,720321422,822230849,300012632,146997396,-1,710611634,524665313,219060810,670712597,446167387,-1,849007408,414747601,-1,306683161,554951691,150012265,-1,-1,793592464,204511275,739424666,365900259,459846496,-1,856858298,741206154,104071288,922478127,-1,194345033,314942324,367273208,67188936,-1,-1,-1,385153740,68166714,638118492,500446367,239719820,693137134,-1,-1,247306227,328738109,679201685,383869947,29452596,784407167,-1,611956287,87452930,500375435,305666199,985164580,706913336,434628864,741349419,987358187,964083483,608637097,925436197,114045125,-1,272500225,363796325,795768303,-1,-1,768823390,170629410,364328497,336047026,-1,62565866,-1,-1,-1,339697736,17317500,48884160,196497485,145630534,-1,767601234,756008615,212419063,92811389,152885985,376617516,890575156,-1,-1,609525317,52560071,228062657,-1,772975850,629934198,555389267,187372084,-1,-1,702055649,267564416,-1,163233622,-1,-1,-1,116578336,127554182,-1,550509270,534940211,644155288,877259843,459496563,451219243,652978237,483476981,974508446,275611273,762283288,42528791,768692438,-1,783190216,665503866,-1,280174510,128364134,65244677,143580549,994334380,-1,-1,-1,-1,293005813,148411318,563741811,565544475,191172092,492470155,965560289,937309929,294967589,659209260,383712692,155173700,-1,873193417,688673413,468818591,-1,-1,41218657,-1,101916503,709881511,980351356,840858804,393775162,656572002,27924567,93278492,282919086,652976318,512210919,350742650,754208232,743764913,749741804,587447148,736942834,914162360,-1,-1,925980838,-1,823529826,748693321,585667324,-1,-1,439136195,478664095,747835139,966206388,953622401,-1,892129344,242272991,-1,399511807,894026287,473893862,448479303,-1,474741829,872022335,166169600,444499003,-1,-1,686960303,693599782,-1,385531194,966730062,-1,460958745,-1,446982973,860091995,190985290,570142436,546668609,708739025,866417783,827821131,830508031,-1,521438292,638419852,479011547,301480053,375573519,184994067,931167599,758391447,-1,698916446,506291093,-1,195045977,577058533,590525707,-1,94630658,398906062,-1,558311681,430521199,663012322,807660761,-1,113844587,-1,701755550,-1,755928601,627010784,744145381,413732568,495795685,-1,365878107,-1,-1,86631895,141775798,162947928,-1,792884665,886035759,825218756,-1,73356971,344202016,815782824,486764657,376888412,82165639,-1,494778596,-1,241331344,248738563,928207762,-1,785283143,-1,-1,-1,-1,707738243,-1,803381220,497293336,431127722,790983461,-1,518366723,392661875,432985778,998796955,876612304,-1,-1,-1,-1,237907407,934379286,917655008,-1,-1,827152874,-1,-1,774144121,31212169,776267430,397303871,738031421,980072428,42663661,-1,798081393,435750208,78504722,-1,-1,914541587,-1,-1,681998292,228162811,905207599,740788600,-1,-1,-1,121730455,162229669,761292244,917668007,296782343,-1,565181561,37382785,782561415,130596174,-1,777028748,8785570,720108195,-1,432265848,733183355,894247601,-1,211495045,937034514,163158836,728013068,332697411,82447,240834770,268079277,534687560,408244723,866564544,8139356,262293587,139418881,-1,512213758,-1,-1,-1,225962474,874216235,-1,303442330,155192644,41468702,814527770,632725297,-1,803509487,-1,925290454,-1,155742361,-1,-1,-1,396704414,247406025,-1,230644228,192320217,115677433,591066582,746845073,748800360,36017300,-1,785378009,425275210,225233942,-1,352620495,384112707,369802636,159961509,401920880,-1,457623007,672120991,228165794,825268664,760356405,390297257,728070939,511183257,127394292,-1,130316919,-1,-1,946597850,65618913,798078790,69285198,10970648,303137437,786494628,319957539,352049252,508039109,521780007,618934746,-1,457287408,-1,489974759,-1,603905543,47959403,-1,257314475,452623731,-1,-1,823034670,589750323,-1,511779811,482040686,269258712,10575276,246882169,276983272,667762088,-1,-1,408308377,-1,-1,717274666,429101566,901308288,703502594,-1,-1,-1,-1,958679698,120720218,-1,966752811,809927210,536286756,38422702,-1,362705886,207241730,-1,851506202,-1,965110334,-1,944401968,-1,932452726,276710776,598874095,334987721,-1,-1,-1,637706392,765065019,-1,53153520,377229185,275634994,234525115,656203072,-1,68585644,942780968,-1,514694963,434887713,812438988,502628648,586158564,-1,-1,465808217,809581364,991691439,700307708,940777234,-1,374831129,916052624,-1,132000105,807697917,378554782,199428318,423263039,632329134,646876804,-1,-1,445471267,885767253,245081460,460131471,735849950,920280068,845526217,841276386,40466814,-1,-1,194985726,-1,-1,-1,834706626,275511319,613103715,926822683,747169488,174614916,298222886,115275372,289067587,-1,150308347,940100263,31569784,566656317,-1,706219759,760125171,735556105,67749933,409214671,159127094,431466543,-1,943973752,801299923,849953061,-1,520028869,512482471,41481673,813955490,933644291,363443462,342391891,480071434,379403471,-1,638313773,-1,67047557,493595707,356979498,-1,-1,-1,335087613,-1,-1,312184081,-1,39455067,870993914,538605807,84216299,382227176,134889750,-1,332204001,42220433,-1,-1,704256216,-1,989455869,797940065,196728344,6945564,304023142,252856617,-1,271115712,216251305,854233123,-1,-1,627056244,789940329,-1,825259613,167083771,96152510,551537678,209120532,639616364,-1,-1,-1,276719849,762847784,824485143,177280096,228229841,861047536,457474341,198467943,785112480,-1,-1,529658818,-1,-1,388612654,713089794,646978643,-1,-1,-1,771560940,444202755,-1,-1,592869008,842308406,76408191,173550653,-1,437069612,-1,-1,337107281,90341189,616609700,159436405,79795046,766681283,-1,38380725,-1,253922628,178636022,380296531,585253753,613565664,-1,488585291,403094607,745716247,431492324,708173264,796298761,510093918,333514053,724256010,127376607,644751686,887789138,-1,-1,-1,937789424,-1,-1,-1,653021222,-1,663834707,575414336,680939771,583327103,-1,22972268,99390153,728281234,-1,-1,-1,757660447,832521939,224109195,624313085,569661506,756252828,721943697,-1,80274144,-1,3776995,50148443,636070055,-1,754031842,-1,406299026,415327059,219267400,619506455,903859876,534354403,288519820,877522701,-1,139492287,202782703,870165120,564350716,794329718,300307744,170460282,613550521,-1,-1,-1,849946416,-1,-1,590974270,399268523,807635184,831952009,995169826,834070911,-1,456483842,185054201,200488153,641751675,895668878,378519940,432209226,-1,215226809,738931766,235189928,-1,610350592,126385806,681052963,691490252,579626699,734152779,843173366,434935838,796627125,300259182,386147546,-1,-1,144996818,279006585,-1,939341795,206856595,792398498,-1,244394154,524236973,848940031,433269087,865020865,864279505,369433793,-1,100413412,-1,-1,339040289,849340903,907757636,-1,538733478,343267242,121616523,660945633,-1,462710990,823883368,270993721,117282739,-1,-1,701651167,-1,926210195,165362454,765656849,493753421,423604551,36504985,514278043,-1,-1,869942142,-1,244981825,-1,-1,-1,48228342,-1,29699153,762797750,306369347,-1,-1,405931655,83124993,191788060,682859958,207597867,857945277,855430656,218184718,-1,306698558,-1,699965779,927173007,432264533,373504534,-1,167760645,213639141,761695559,-1,608462829,135911176,193766573,625796384,-1,602484564,190709394,661472191,240060240,-1,-1,-1,-1,947015008,369859701,-1,534064841,-1,97341751,-1,860100643,144644282,557882747,939599863,540886329,60111316,696380871,757030594,-1,261410203,-1,998795261,408932031,-1,545217103,-1,283606676,6815740,143970772,226367507,-1,-1,-1,-1,-1,-1,334648564,93126893,865340533,735405168,888795545,101988245,412081571,-1,570162490,997656292,630988098,783472810,214658568,371889591,60697790,-1,235088070,297130165,503681245,572446153,-1,873153274,-1,998242384,-1,-1,-1,54068490,649517174,320947753,-1,-1,116269863,145612566,475431766,997078755,691080490,350880409,236367267,-1,144520701,295911206,736787952,-1,669379580,652822949,692254288,280637546,647576478,221534078,-1,-1,998982143,-1,271034622,563804075,921056242,555502215,-1,845337790,-1,867810413,831666291,-1,601557902,662165092,46704287,-1,116543586,970872748,517622583,-1,-1,782656541,866692625,261052475,69732933,-1,569728901,160950799,458043733,647852179,-1,89475258,736245808,-1,227430525,378406127,49548298,638444882,-1,921367164,548550238,-1,-1,58590671,66602958,770097683,393287794,679919399,-1,-1,379821661,688726186,484673867,85677975,-1,-1,800588506,508290118,889359028,-1,-1,193210148,638258145,-1,-1,-1,-1,985617948,-1,695879868,-1,869023314,320912674,94383639,56566418,418628728,-1,963982788,791710352,925089746,579038837,7220686,456947044,735962800,760435377,21640688,131301211,220775763,660025932,-1,-1,197609079,-1,-1,745123201,-1,324677214,826411172,633111808,349994436,66665460,115527942,458480181,742037568,14717909,9709826,584226831,-1,202940689,-1,817438042,647712465,-1,833025250,-1,-1,188711580,571562288,-1,-1,412767139,709850763,380896721,-1,611131725,384968827,-1,643969147,132734681,763081930,177070730,989893363,477988544,711195338,-1,550519133,168280065,-1,-1,-1,974701887,-1,708465570,846416521,-1,312966616,-1,-1,765148495,-1,-1,-1,-1,-1,56309545,-1,221658390,-1,-1,891477724,311035390,-1,41872625,551706421,762757884,-1,818365160,145619742,928610486,279298344,488447918,-1,-1,-1,688773795,437390820,-1,358738196,366313907,-1,-1,472716101,799665859,615430339,948871883,-1,-1,-1,501674461,-1,-1,92896681,-1,-1,481722798,483087166,941449410,-1,199560522,685304146,169201739,505774186,733405119,-1,17174157,-1,216729694,-1,-1,240534254,-1,849767467,-1,-1,671139920,-1,44618422,160749082,287087351,469975346,542089074,-1,-1,744442101,-1,712142611,-1,491337600,229189248,-1,564771998,919770568,100501730,-1,444278216,490756432,905321787,531860649,-1,-1,-1,119376345,-1,-1,708555744,-1,-1,124916554,588340040,981898609,170892092,385145148,-1,-1,671510894,972865848,296303278,824905238,416852218,-1,353376693,810171326,717836980,-1,-1,-1,-1,-1,540441927,-1,980044108,-1,934274104,748217788,-1,-1,803638217,-1,-1,-1,-1,-1,473899852,600387776,116823314,306022404,447788306,138335106,-1,267106366,789172613,376737098,-1,163225554,49988814,93476972,484556591,705183550,408558886,935714633,-1,-1,559612261,827543033,733953001,156304584,373910335,422270341,979791620,579221408,-1,699345523,327315999,685470750,702105904,-1,246289999,-1,110356668,714822113,223513832,-1,-1,279328266,749320707,375025252,601050769,257190434,493430364,261158126,582355221,574520383,-1,616765484,871516983,543691410,421490769,33156207,599197498,-1,730409020,429258783,84076024,404136958,956317388,160243222,-1,302384310,236053378,494939356,115960419,182135078,273754599,-1,714515745,203117314,988791938,180661128,68817818,839612421,753166633,-1,342628254,-1,-1,808741131,-1,127560706,-1,-1,69043285,-1,814004207,4600833,936601231,-1,-1,-1,-1,877409309,-1,881293774,-1,472436501,930162925,563712938,825920370,151713117,-1,3768183,-1,677176061,965066418,-1,-1,913025906,55059246,291622212,-1,-1,362823583,86756885,-1,80541953,-1,823750137,-1,826344793,-1,971996185,845044863,741774482,864956370,666217321,-1,845470226,807831421,742042328,-1,405318025,798255004,464815528,572744520,726076994,-1,2203921,653389486,751253918,-1,-1,836777418,241777034,588009077,93456824,-1,-1,738176975,-1,404228564,81704687,-1,238077069,454723932,242663277,856190999,-1,466795459,36997174,795821171,899688283,11546266,850557541,315577809,70969731,759985042,800580763,307017764,573912350,755528897,555760264,996268985,436805697,213532108,395181152,649525838,309430306,734831408,514948046,13933074,774444537,956951069,-1,23981680,-1,573479650,822837059,-1,936992509,647190882,97051627,865619685,636183747,473074341,756038973,678371051,518992058,601195636,-1,-1,796960242,-1,580238245,211274927,833371384,155655453,476578331,-1,73194066,753073760,518429102,669335094,-1,484528106,426691845,146377316,133944524,-1,845106290,363755358,252420621,59815321,782115074,754284510,588078530,729677883,210694107,681091602,88059513,328704106,101666027,541896509,743967649,-1,-1,932914200,-1,-1,487002082,672209985,240509622,214516536,329106748,872749613,534266002,786933802,302641095,137537358,455643553,629453718,322213649,335617890,992719751,-1,821689535,-1,460500360,103308804,777555591,147533283,-1,847229912,91268790,168516063,-1,-1,924021786,94220262,173243774,837728099,392386583,-1,309425047,-1,589960261,971046170,-1,317240853,-1,-1,451136045,164297880,645131680,-1,688546688,182280214,57962915,293103429,818145564,552396553,-1,299404019,317606585,-1,853657566,-1,37973471,518621243,-1,-1,937901513,356132883,754650350,747061789,513384414,-1,381451157,725993666,520326341,146588513,12739603,498576216,436793765,731093045,201677531,524314425,941557313,223665906,822742336,799630229,576179751,-1,-1,976815017,920530630,-1,141920336,815562973,243399023,439622406,403950113,709099879,-1,-1,-1,-1,617724714,-1,806363612,-1,608684068,-1,282617448,412124108,-1,466772064,923674018,109239731,-1,773994690,343975544,267620859,654935946,557959339,898448332,778299985,-1,714973970,621455803,-1,891978762,24244800,-1,677696023,917455067,76432141,-1,-1,551747731,-1,-1,988932998,78400394,-1,-1,-1,987503683,588860292,220007021,442376238,-1,-1,201039072,598520134,222651820,-1,894802320,968750063,363912386,368546439,-1,951079046,95940508,739345519,768432361,661957089,683809779,118941906,59646321,309865440,659023493,171700102,812033347,14537954,32931626,-1,593854480,-1,466754490,885236331,-1,442408879,934728426,-1,-1,195216323,76335315,12554361,841735801,-1,486092923,657932140,-1,-1,-1,-1,112710049,395976297,-1,-1,939372254,355489326,17999204,902593483,447213079,723756659,841357057,383518107,51069779,864301877,19296799,387650065,-1,-1,232199950,696137887,387159099,557886455,558175365,453341421,-1,613256718,48916209,-1,542950726,322251571,-1,-1,494595693,790708445,251113653,600149292,675771249,-1,451051777,576597102,241946525,137286027,744163871,25097366,944103552,756853837,441958741,495606599,-1,820942990,-1,-1,611373271,104723693,-1,-1,-1,280572759,996953236,-1,16790701,637609161,426372439,599544336,-1,568717411,477579483,713816688,97764111,559976667,868676735,446091973,269528044,95602577,195714326,80760500,258879599,-1,401047965,-1,-1,591069874,643174303,484296474,532796462,578693958,-1,-1,607540560,-1,967590767,928550206,-1,442963629,-1,-1,-1,432828404,117403742,-1,-1,-1,526644319,-1,276050768,-1,177342285,584958628,-1,225610127,-1,280675384,-1,526326342,368609974,20571532,237529427,516441417,232990198,472394474,-1,736241949,-1,-1,420705835,576422245,906370519,830971975,794533295,916714987,-1,11789418,478986519,761598002,556247750,463451300,550194171,76433929,400802884,127075995,-1,620822954,74404707,-1,-1,649042947,380725177,-1,185329365,141865088,366274670,448597552,217062032,852051312,191713522,745902793,611339196,977204220,-1,-1,818664235,313708431,819321076,202656402,-1,-1,707589966,-1,102345053,-1,-1,743035174,-1,833832976,947581473,585633773,-1,861874396,969562686,493778318,-1,835418692,-1,20489963,693915184,465979007,-1,486332522,479091690,-1,28601319,446854120,619066509,-1,-1,328783820,65884710,-1,910973530,8985090,462273784,-1,235104691,623534378,509049486,243698256,592579091,-1,162903809,-1,-1,737650052,-1,507390177,228285538,-1,40949679,-1,743343490,357658484,742023256,925922665,531536789,46701116,759687064,695453435,75486521,472603436,289318036,-1,323116614,946035704,775417087,-1,-1,482983189,747988784,760593307,554636167,209298646,244893829,-1,765651376,-1,448702164,853304795,193591080,-1,522533187,-1,-1,825658196,942134017,946473536,-1,116781071,25699618,995618588,329753919,830246345,187263993,528107439,347059155,362486460,-1,346476754,932727565,631081170,635085292,901433093,767004887,436401927,935374666,918427231,-1,994821106,769848550,-1,-1,873610335,-1,182495642,624071830,-1,491978190,90146978,574454000,929863009,138233896,872170673,663688933,913656291,77556305,957131620,726473110,-1,575216734,285522896,719830892,887768399,958325352,447791958,95634426,757273657,555190381,-1,480483961,-1,89019224,43945650,28548208,255635483,49551986,421727616,604984486,109429085,70198389,69241975,497639078,688721084,754814740,575490694,-1,325676881,995367164,-1,-1,878128291,612603542,276720154,-1,928847212,555133316,-1,748157828,662706994,865972216,116607796,810322997,870647575,137919118,246124908,561500203,410389517,154213076,-1,911056100,876187362,991245585,251600409,-1,-1,309064164,343219471,215428387,-1,6967192,111123288,770185150,-1,-1,640121741,206497895,865622971,-1,-1,333701006,-1,513710392,-1,149393164,75662124,6088179,373728546,-1,-1,-1,-1,990247160,864396402,923055579,344210193,556881499,619098728,729226112,-1,-1,779775141,-1,964966923,-1,233593128,-1,184658617,-1,553827012,-1,345862351,-1,86452491,675012810,899192419,-1,111352730,468057359,497924771,675983537,298507150,713270250,892555689,143615715,282044606,108477267,-1,136633120,768884213,816426343,119225883,809935502,383593327,-1,241016567,-1,203952041,78323929,647683748,-1,590858854,-1,-1,-1,76826346,875966210,887107080,639820029,-1,852940380,822225281,66399855,-1,987177063,45051619,630312185,-1,946003788,-1,439898094,88787139,375277416,810108881,676463494,43906293,708423085,275598114,-1,565534191,-1,668702940,16625508,-1,99177122,912024990,-1,-1,228921448,525564855,-1,725662071,116108440,139850220,392140659,398809427,-1,77587949,404519240,-1,479672630,861107761,49604331,-1,-1,81648046,655273680,521690521,849889736,282673640,101983545,556692219,-1,-1,144795227,6902498,-1,421731543,170341723,387797642,892315876,390698419,841031035,140731821,-1,-1,969155056,-1,-1,-1,-1,313499010,65091140,352828075,678281919,558442615,-1,-1,-1,360962580,-1,468786446,-1,-1,196270080,542168650,282632328,-1,161428746,817126446,418631583,693353193,988089819,-1,359347970,-1,181036969,-1,409080378,704545833,875123765,276945940,-1,326239946,890816583,829987796,322190296,150244518,-1,91565598,716776342,-1,2882583,-1,-1,-1,-1,504444277,861138930,425969182,509016441,300794658,-1,831408061,614238457,694792506,135647384,80492488,98962718,-1,941600615,839908430,703990219,777285005,-1,885705339,280244664,46569505,58866638,785597806,599867191,589767695,141550193,364084167,-1,488592875,841328724,640999075,802998097,815483666,171718158,-1,404026306,316487512,-1,-1,430525073,732558777,625844737,732077318,757728751,-1,343210008,222050848,-1,-1,822021960,573359830,341280587,-1,911075124,665640918,392864997,971250432,167813507,-1,-1,43067466,-1,944433087,-1,940798142,368406809,568222184,-1,705613456,-1,-1,424968503,698559311,842657188,746556863,429157718,416093742,803710764,57576120,879955541,-1,860658326,926192918,367415807,523953708,722832976,142671423,627826959,32283995,942284607,32490276,749395729,511090537,-1,197878989,823255008,413459745,-1,-1,351535027,-1,-1,909377329,-1,-1,-1,419259478,449836463,131550205,614690196,855623283,175059886,-1,719393414,-1,-1,748092393,-1,808226335,-1,724351129,-1,660929795,522605417,683480663,165834072,808271059,676552877,199313038,991816472,-1,776217466,569236190,205023096,798832621,579187146,646465159,176958313,677572694,475953554,673135076,968598925,780333287,423723364,261486891,-1,385012529,858117933,468136258,158201101,-1,942482778,79718956,-1,520729396,448059479,724491298,-1,73960255,867548337,274264005,386328277,416758030,169591985,-1,997016466,-1,719048240,95274138,496353031,-1,371226684,284989962,848046446,-1,-1,701491271,951685690,180516614,785959041,610153171,960457643,-1,287506238,287157877,-1,557718289,671206193,746896759,127009402,314680869,-1,246950313,120803131,365055328,-1,76883162,390725797,-1,157259488,698148445,875417247,424588688,239944579,-1,-1,708020169,-1,243832704,-1,341030907,589696691,699319767,-1,-1,-1,825263648,118713722,704250023,306640597,234164359,-1,462481964,214337877,639171814,824691828,583835024,622796502,548668077,400447172,403311047,940625190,-1,-1,-1,136307919,-1,151774686,719917170,-1,301685540,853767249,932264865,-1,557325550,-1,14726915,896668024,-1,46729121,849935810,61835270,-1,538933733,416571426,-1,206058750,52384218,868310728,864650059,983394588,328534250,572845248,150067093,28198494,684738695,187432652,852801674,-1,497016702,913481621,214162215,-1,-1,924573664,94988594,-1,119252846,376394301,-1,-1,204456898,395583045,-1,-1,524823355,-1,83353355,692993265,-1,329184757,482362193,260062143,212754296,-1,-1,297715316,492987689,345066118,464804435,-1,-1,895041284,-1,-1,-1,338731572,-1,-1,-1,78896876,531138823,756070779,619836795,-1,24884933,378413256,996784218,-1,214185569,455633356,-1,-1,-1,144547857,47229076,-1,638230814,-1,-1,-1,466396402,-1,-1,429324992,-1,-1,706144513,-1,371197276,-1,485703782,-1,487277927,192685791,-1,-1,-1,37606051,7647074,405481517,271399297,538164713,436295735,393563899,-1,775367742,-1,88456608,158913591,909013492,28203991,-1,711364064,284073562,941201164,-1,441705914,-1,704882955,485518210,475281013,968295506,185395857,203576887,278839136,163554945,450821324,808555615,222293490,44559946,181425940,-1,144554100,999433651,-1,913480733,147679744,966716201,-1,901586446,-1,-1,53780499,268944042,-1,269169016,-1,152117252,472558181,74854129,390008862,322522684,578849450,97378834,186796995,19556240,863470654,307378544,361659168,-1,117343765,585761812,-1,979329328,364323903,670618507,-1,-1,213969532,717226981,-1,503669913,-1,993344630,-1,405343337,196822940,974075540,-1,-1,720357730,442384218,114000753,300909920,-1,512413651,-1,-1,-1,-1,106811916,-1,-1,70009280,70543555,-1,566013734,721931668,-1,869951800,678741000,957949542,195338198,946211975,985959515,-1,-1,296191376,273431931,-1,102858506,-1,10280196,-1,581758578,95278462,-1,571007300,986953304,109362819,988307755,333748398,-1,-1,154471162,452605412,889852721,-1,169116732,519343924,59423063,539668505,956131456,548245297,428397352,166008597,-1,90083066,246907835,299895833,159716116,449030433,737890718,-1,517782490,377921373,639974571,48639180,934658476,597610861,277408701,42600188,-1,139778180,850355824,-1,711132790,436848835,-1,349057789,909399903,-1,-1,865897371,256021748,267277841,183086542,944868151,-1,-1,675365276,-1,659305743,472423435,614683377,-1,49202041,919942469,-1,-1,395122232,-1,-1,674796311,-1,464993558,131638153,-1,-1,479309135,724991678,-1,712179604,125189597,955985403,463396771,476166574,-1,-1,368276686,621672479,243815817,410350847,-1,963975867,-1,-1,982182813,899777803,-1,-1,20317486,-1,35458099,267441564,638371497,-1,372007008,-1,213766149,178544884,435672151,953520841,737537876,694931180,383305537,13275828,-1,140559960,-1,982181439,429467897,717936906,335507635,-1,350947110,-1,411112436,587451321,794242978,-1,-1,158426797,-1,265926699,325740586,825501008,-1,530309204,609410251,-1,428117666,206915352,-1,256959361,3111454,595906313,996081060,614946847,-1,-1,74230531,582701903,-1,-1,412525580,515416544,287010735,183373501,443023544,807865024,60854371,181321331,690614145,27268908,861771537,607374276,299661911,990069117,-1,-1,219185896,459132843,373810727,87550171,811592520,920296778,748567445,-1,127463360,416340823,545347486,-1,-1,716512470,289124176,34296567,271837198,-1,-1,-1,549140728,196258140,885208850,144026506,653992233,541085906,224645392,-1,876481973,70621799,232259629,146890687,8620482,240107040,-1,439688379,454122279,22468772,-1,972964073,672115537,-1,-1,388194593,-1,169648688,68515200,-1,-1,899916279,100425591,78673535,889869499,-1,605612787,-1,605737977,639087588,576747858,857166750,860777540,586801779,12679980,893800054,-1,-1,112678737,-1,742101456,798992653,-1,719987325,818933973,-1,-1,689506680,746630098,671900751,994757353,758647241,464550309,300408312,964723712,-1,297299896,258948760,436168436,818988333,-1,487429170,-1,885139678,608977920,-1,42775189,999447343,-1,350774982,944868740,538541669,764414145,-1,258703370,767734564,122761803,-1,-1,845840855,989713585,513562234,659825409,135289244,-1,220052834,516431992,-1,-1,820388019,647537648,-1,-1,438827997,80438261,-1,-1,228303740,257392779,525123161,970637778,-1,588345081,-1,906570688,84744281,515456801,-1,775102930,-1,-1,192159162,293141908,136582197,746116945,9327347,-1,4716562,210828891,475509111,-1,-1,910846236,-1,140264826,693606342,714755023,-1,591204824,940750233,-1,-1,-1,285014528,847565968,-1,765575294,919767584,452755745,244974596,440835990,387232569,-1,921015449,523710968,18841607,338924222,369213793,-1,969271133,-1,-1,-1,510823121,29903160,50672171,-1,-1,664852515,103373426,-1,-1,866216239,306011624,74011862,165043953,-1,636143842,363143270,-1,766770226,724670969,-1,465947084,-1,-1,352384766,561286876,343000348,78811062,-1,143302285,-1,583563885,58748512,444324948,538511034,522682389,-1,163222093,80169079,574550048,665316333,374712730,405133608,952619824,286607927,-1,853428694,976424416,-1,-1,-1,-1,430056181,27625930,777172382,682709068,738191956,618714541,420101043,971486273,791976863,914178057,66260413,-1,26294886,303337495,-1,-1,657110112,795463290,193751658,-1,863622475,988873728,-1,680608320,415705485,498111575,640148679,101917309,-1,-1,-1,-1,708386884,671346469,185965932,288711825,383838167,850884585,871528532,-1,602196127,545431637,155650672,323653315,426314652,412316897,-1,602853820,45053735,616669500,543684075,777740330,672118951,585988998,-1,-1,531763396,519563018,524335666,326081222,962528855,58861895,-1,650115967,-1,-1,837104568,905315377,33354359,209448003,462868051,-1,-1,153585566,-1,622323217,251540100,301938563,859244686,185871874,52821249,-1,622769786,-1,914332844,581982067,659212596,341559655,368713115,836635749,367237892,237912233,240477609,93839185,902152531,-1,-1,378118858,137054004,806741458,609677104,748905826,903059661,179323279,-1,375067027,695157846,529077195,-1,940768753,-1,-1,-1,194724435,73058353,-1,874838612,277842638,-1,592235592,358594485,840956613,651298204,-1,619337894,72742814,848158058,823806353,903018068,-1,383252663,591274372,497461481,443882893,347166294,970095746,-1,-1,295678841,607129972,-1,743673428,907526502,-1,578173077,-1,-1,-1,411904696,94724833,740158708,346625873,913206295,935786182,924831035,412929433,103932402,-1,662304930,942884815,551179679,701799672,405386912,985745204,-1,918966346,-1,-1,651427009,-1,911695911,645493663,-1,-1,947864439,-1,-1,-1,-1,722372252,920095823,319714279,385641284,-1,216888855,42854472,915211908,456483651,708515340,121777510,-1,230579150,427803550,436649601,654690095,224159609,422244902,777042946,242843543,674059813,-1,-1,46400257,45822111,345819774,189235082,369313761,429301583,-1,877581433,693548827,-1,-1,501302212,170856370,30444514,-1,408780551,-1,-1,-1,-1,826462170,-1,336833208,263651634,-1,759281760,-1,-1,-1,-1,724090218,-1,-1,600184066,501768821,-1,762386612,-1,271510997,145427147,-1,475816036,535163290,-1,176516778,39065085,170383965,456379460,612756946,-1,443779424,-1,834484621,775147847,307354049,-1,327029536,-1,983549204,601150287,412750535,613033840,765374113,127130006,839887435,681857448,-1,210386191,100362367,196718424,209724382,640823941,118076661,339574720,-1,266591167,-1,151173502,-1,-1,994070855,-1,890949368,786295358,162905229,159616677,392523923,459700746,-1,-1,58878362,-1,-1,478162048,-1,415865294,505045086,519501775,659977186,298098273,768590038,627087896,29247096,368939602,128086313,568360220,309436471,728915346,669543085,-1,-1,244388958,-1,488130373,-1,929947718,-1,-1,-1,143669852,328257512,808377130,627609712,563106279,-1,459316859,1213042,639109815,-1,53185360,788167067,312394062,388796824,-1,-1,504580189,537536767,567544365,425896182,-1,114053569,-1,773901798,139506974,148523269,674307214,897362997,-1,-1,-1,766194485,407710391,791324656,952420681,398550687,177097733,-1,-1,-1,-1,-1,661414606,404192958,392121098,620111507,437890545,182251254,158213879,839719861,-1,-1,-1,672946067,298065716,807536603,774560856,-1,-1,21317709,234898439,-1,246549471,-1,286187143,567419797,683994845,184645975,527993734,3455761,-1,906750638,456688835,741821833,460140841,-1,497683020,30389050,231639644,261054700,-1,-1,-1,576502819,-1,770441950,-1,756062059,-1,349746147,994314739,151159986,-1,233797875,628580425,672334273,653461748,358757056,658596099,465510256,-1,434440308,330249616,285607626,87171350,-1,-1,785765490,333481955,672593715,-1,251840993,257597004,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,856324611,472272002,77306788,158831788,167094144,-1,-1,772233018,600574002,659288370,855981030,620033319,711145097,-1,368323264,-1,949827254,101495343,-1,-1,586241830,-1,104204753,-1,-1,291796205,-1,562094137,655024686,10476985,-1,447868103,973469776,550025495,-1,21144668,-1,58276111,980680460,262861677,-1,710594377,223081756,84831942,796506619,602498343,382641347,-1,177736559,550218934,370247318,132786394,217563708,132841957,-1,685116950,197959509,510407991,900639302,806432663,251248737,168610427,-1,-1,-1,877226839,-1,-1,363470290,767631024,910832776,679446408,445608085,346985324,-1,598308238,116795377,597627534,-1,129872977,2197853,662610826,111064723,228192054,304593353,538689999,-1,369021189,-1,-1,746687246,66217826,878238511,-1,-1,18102383,77794584,710481910,666458922,187669741,657311587,-1,818148610,-1,685012513,258937129,133609809,853618034,950863299,336848674,31559754,-1,364663747,309828525,328746200,812683419,21966409,41081317,40069069,-1,140368090,135728591,465889482,38838976,-1,785619225,619306214,630461872,-1,993840879,-1,-1,-1,829582776,-1,249127806,546489322,-1,303362804,-1,87352822,-1,177841807,372585324,831793050,743652918,931515985,-1,963669091,442373316,135126958,824188483,534625511,332300680,176118055,949412708,244003400,-1,684146549,591629207,788572123,792930498,373714540,850086887,867506391,-1,-1,162276500,221408871,-1,709662485,-1,-1,647153602,914449524,210972497,-1,938703828,577303795,127675344,-1,534941618,606628173,834281896,512853074,138892840,193532222,181533143,136791453,206338718,944920978,946788491,403223441,-1,895763895,527771274,-1,526994467,679004037,764262369,539191944,-1,129426700,776627164,215195940,68099695,-1,499149175,414767432,638933741,-1,909135811,80496893,-1,354426733,476427729,649155047,967260243,656560019,660606550,-1,-1,406863904,-1,-1,364672479,-1,921597405,563940702,975963539,-1,828474617,429130799,115218056,368865276,-1,720577894,-1,417182749,563815992,479732238,148828990,-1,865608095,775927854,892259786,358203639,879953487,-1,-1,950347989,271431206,-1,849335971,512447393,392694911,-1,-1,186443407,607739698,87620928,461571634,96759930,-1,969314990,881475184,-1,996016868,738673747,-1,-1,438589912,641942424,-1,160721331,7309751,703368574,353265612,471323785,-1,713665832,-1,-1,-1,524422300,-1,580669197,-1,286104779,-1,-1,115712872,556275051,-1,892160523,30455191,962977878,442574809,938607637,-1,550052054,-1,-1,-1,-1,408968252,-1,-1,85697449,428192040,852619974,135134154,1121742,2469548,566076822,87518758,295356615,-1,331557499,-1,505887289,1067848,911426558,338997960,741053265,909244799,60014214,490973792,12338878,59644595,493782463,529885282,607934934,144960372,436569326,291404168,144533121,540603574,-1,785999662,818567071,-1,-1,-1,336035371,428269044,-1,181479874,-1,305058463,-1,-1,412855628,650309886,-1,816651977,142076004,938179966,702880339,948516048,148927405,280469992,347962113,652138350,498487012,886930941,917845818,761929107,367061871,-1,-1,972867130,860873014,965476876,656012280,436432612,115279841,-1,752943969,282921140,412987357,560600158,192101815,-1,686567268,-1,118550093,710803024,43756385,357869073,149711684,396637852,580191126,-1,817140330,164787714,-1,803487837,-1,37083982,-1,-1,-1,359719144,656660935,770095765,-1,938307580,-1,-1,647566603,-1,617295150,103390761,506477304,545682051,858648136,205833587,143773201,560499852,-1,418942733,330505299,-1,662322529,651301607,-1,167766270,389121531,182319697,-1,833258751,413388905,896947699,-1,731816386,895724278,25786695,158571000,627264659,755133038,590534172,775697181,686539207,95680000,151603038,897977434,991412142,861306630,638822975,174867936,852948700,555167229,653687887,-1,471340165,-1,802327090,593012820,377135102,171418862,-1,-1,-1,113325743,243917909,476213338,-1,115350678,19695525,340259810,465743152,-1,690749450,997362815,306483354,285166770,-1,-1,-1,29582861,746347826,-1,112305722,880215163,356949463,542429167,823528769,304160880,-1,632086189,279850933,37505272,71571873,807204088,-1,576239334,234317961,52682522,594066558,402412398,-1,696401210,648053462,608520403,987327282,-1,-1,-1,-1,146036765,990623344,-1,164290145,-1,-1,5168295,652215662,665176186,239567161,952315631,-1,697202027,738533343,60070126,-1,775071490,619318823,566202137,-1,174646557,-1,945396239,116893785,820298331,623621330,558133309,242824248,-1,332885692,960916353,41331926,-1,-1,812077653,926012725,411009201,-1,633484528,388648519,136044076,732936268,-1,729220855,872404279,237144572,-1,503501789,299304711,864383974,362088446,-1,243621870,129983523,508452288,908193521,-1,381778428,-1,61134340,561035506,696840173,88668028,-1,391129230,541168365,812890221,292601902,114996217,780202761,433464812,698248710,126173737,-1,-1,945141978,-1,-1,-1,379270357,800552158,331640165,488787853,78365862,-1,-1,744219074,923753342,34510639,-1,816853634,-1,219548899,877560241,957246370,448179168,44580696,-1,-1,171652438,672473710,916315428,-1,212363158,487870248,-1,486345642,441316697,317595958,595177106,-1,889870395,474578061,179547553,422444193,625456028,743355052,-1,-1,504132395,-1,669523430,424677339,-1,324858616,692210880,65919512,-1,797168080,788105399,38596640,808321598,-1,938135220,178798614,-1,115120245,536967095,701489562,-1,141591638,419658812,240424631,344434984,791121566,386910106,724713635,523377328,839709589,954070464,996736117,-1,659356342,-1,935202725,-1,953249260,767434245,974977785,822618453,-1,447980172,552027563,636315657,-1,731479833,671709675,869896124,638232092,412460696,-1,549295271,-1,-1,-1,-1,54348285,622255951,276270988,773818300,-1,-1,-1,147951459,758079956,656720255,-1,711737275,906000076,991233784,863563049,918683432,798276826,864931131,-1,983703338,-1,-1,824404541,62082741,436254678,-1,-1,707812881,878701071,918113518,978731237,-1,723771129,-1,510186446,789404901,943041532,-1,701130061,-1,459011624,617131501,-1,763491468,883509795,139562563,342167656,898699880,138738860,440625048,655335492,59131957,308891429,697520765,-1,384110961,-1,806071719,256412063,748348471,487200488,387685886,-1,811736554,792168271,-1,618982775,196101642,648422080,29878978,-1,-1,196501874,311266912,637235957,689312226,-1,211446885,116557441,633093012,-1,924792169,953158123,-1,442141509,745135785,248445092,122208945,719824099,407571128,-1,780925822,350726796,-1,864095396,563907361,637181130,891046172,-1,-1,990391026,-1,953429126,948593786,26165471,863114969,-1,213757500,99209530,-1,-1,875142789,-1,-1,989521577,-1,60678020,774170620,-1,-1,-1,246697505,158541279,-1,751008308,-1,323610316,89810068,883714098,960318170,-1,-1,80078299,441896200,-1,-1,64405745,531037994,586770346,-1,43919327,-1,316275792,647536834,-1,96357760,970242371,986661522,773008150,264489218,976974729,-1,-1,766844833,43908836,-1,963176891,484463412,-1,-1,-1,449765695,-1,-1,-1,220626205,570092253,-1,45047725,-1,66970355,-1,-1,-1,870414366,281130619,-1,175581347,423319008,924480632,528179986,-1,-1,424210376,939717960,998768333,-1,-1,-1,-1,39486984,191192664,124593776,811174047,986325181,-1,243890974,-1,-1,31426360,-1,904549196,622124023,757648446,734921668,521762322,-1,-1,551293026,268028884,280296993,7150553,-1,-1,813738811,705557368,-1,361848247,305608213,126870719,-1,235072331,781148870,782400179,472101254,127163146,191641756,-1,-1,-1,-1,443835815,780829240,197168921,-1,569449294,823412735,-1,920333358,424265082,-1,626329160,-1,-1,610241164,785065122,-1,-1,493323005,-1,315958356,-1,515464913,-1,843350617,990235346,402854977,381321642,-1,647709470,568671965,-1,801420905,762473200,517203122,-1,-1,254951008,890061617,80034917,-1,147605225,809190171,267616995,567591261,-1,928619650,435022934,-1,703290049,384412463,905880688,474605928,400293887,509609062,990777777,678579177,605723582,655647878,-1,16231596,-1,306347241,-1,-1,-1,-1,46038526,987823668,747383016,549170005,-1,-1,567298684,717642010,771110322,-1,342905202,-1,-1,-1,-1,331764780,-1,-1,986141760,560029764,-1,820613754,446116234,104469296,948726240,-1,280215830,710080434,-1,240618140,-1,894411325,837635074,173485359,551556930,622339739,492604677,822625277,797598816,956416285,-1,-1,-1,72175010,748720501,-1,890186471,-1,758386919,822983470,703185819,476573402,-1,-1,95457812,-1,815482647,769005300,99160034,-1,994594291,-1,779223171,278447920,61709099,774406561,424489505,465504860,930576956,360331906,-1,818596167,883644772,-1,189552372,59428799,-1,-1,794367404,701958277,-1,21199107,-1,90620979,-1,-1,987285458,538908500,30761141,493190206,861856359,380759418,96018130,420916749,699846974,70520871,799065665,429905798,-1,-1,401692834,-1,860659629,616744033,-1,880178099,356774954,263050955,228391037,457148974,-1,593743734,734562170,454959138,-1,79130129,861818806,-1,590541448,245037476,497048461,893167987,-1,-1,400471361,537378491,643953214,-1,-1,252615933,314323563,15926931,399169995,302314059,580327774,-1,340312031,-1,-1,513972644,667342483,-1,236044041,-1,147459390,968451880,160719873,45572462,540436156,592553521,795411485,957437951,272047565,-1,-1,638084786,141038879,919976604,957456287,682592686,-1,490112497,976295730,693457859,410290722,103922867,22122512,829089026,971585410,777869085,383497698,-1,-1,-1,-1,634480582,77064101,766774430,917823500,168147808,744367369,566873058,727147398,-1,907368323,865901734,237016687,-1,180876475,808283367,-1,351713294,812761821,137894972,183737394,594313703,-1,175460089,-1,-1,641154985,863697535,390200386,661291796,-1,201285596,223202804,-1,318728754,790095385,517556467,275643095,991313296,328287218,518159897,-1,511168489,-1,-1,-1,-1,343283406,842001274,791249115,498737616,698388442,220976811,336007807,680016047,605763078,883712603,-1,277850178,681833115,273868603,452117856,390843407,-1,-1,947836000,21895467,190480983,126243690,-1,575641323,-1,784720022,758433882,523605156,104247904,-1,-1,594845383,923590545,121988569,-1,517149881,743931995,-1,313149296,-1,-1,871493956,707548654,174926440,-1,-1,540771907,804498833,-1,939793516,948211585,-1,311976686,677316971,762005051,-1,-1,904406545,635219363,343678374,86690428,-1,230351503,545256547,732286305,238689867,507878795,992143778,456380119,325949673,786879869,984301487,-1,208894835,-1,-1,-1,-1,-1,117792770,103841049,490774530,724197179,809861399,223854900,185735847,-1,145792653,-1,696344948,987084643,-1,-1,398163918,106189333,58483036,766693009,-1,185216977,325925276,699896221,-1,183807787,-1,-1,-1,927395913,382417021,860865964,-1,379236705,587949996,938676419,-1,953321147,898433951,167576278,-1,541347806,663189878,613452711,-1,539700554,80301334,-1,253681860,269610713,927662435,322682623,-1,326088589,641582035,498478213,263526409,131078664,215801972,842394457,-1,-1,463617956,-1,574518091,261103723,-1,419268396,-1,925519770,602060998,-1,98425068,406946019,184336852,209209585,75878576,357403047,-1,37167692,-1,842282609,326365143,-1,153811466,-1,-1,701545371,210970904,861788706,331443367,341796821,-1,406997319,680120289,680928456,711324201,304152821,823379905,-1,-1,624573189,506992602,668183181,-1,503458611,806949312,381016745,320557722,-1,347367215,170670586,418406224,630383621,-1,-1,426824844,208117409,277507761,-1,325270429,801276170,-1,-1,-1,236501367,392067331,315007347,-1,233420323,-1,4554033,20672137,954463396,382360677,950548515,34241546,840026191,754245500,159735234,659651291,916562250,796468237,-1,755793473,525278255,603599507,591575684,-1,304830137,-1,432647270,555148038,535639983,231399113,-1,3456004,500611975,-1,179275444,25383732,-1,-1,-1,332848307,691689025,-1,152226702,449705592,441735615,-1,163836471,449280458,-1,67211925,942766151,906910043,33127467,-1,-1,109080491,114124895,901724979,-1,274146975,-1,-1,-1,678055266,405558815,860401883,919391863,505411348,659873732,-1,-1,516784238,278244197,167521388,480288424,729410311,366775969,-1,293942798,903660542,741748769,-1,871093601,773319281,-1,357407252,528367468,535836676,-1,471917171,139277944,855941136,285691683,-1,168883271,-1,188995964,305569117,839912542,527505116,423692885,861304871,865223711,571296107,515438242,39853288,3668088,874096906,444886179,791034202,315530078,693415447,333073012,-1,-1,-1,22856337,490256513,481511138,622152279,898907952,514427018,-1,376796509,715295138,-1,704106432,-1,245213217,-1,-1,27481311,445139024,180055367,-1,527644010,-1,932045745,522735964,787935260,498456519,593076769,480846969,269275856,-1,403202858,-1,428822158,897393984,801502496,696061739,80010121,24576360,-1,-1,-1,759236759,764193567,539978070,-1,881516282,-1,804127614,417413873,648647949,886879623,633493514,296861397,555245218,80145910,134661392,359870341,281737094,-1,-1,313469900,568485602,-1,50517707,733606840,-1,378649200,-1,-1,-1,61858505,661701559,89401069,800362680,473363021,-1,-1,308397096,-1,-1,-1,78796687,320876623,813349121,333364215,826627895,473228099,272467609,108816203,-1,476733622,-1,283106258,613599955,213028253,-1,636323712,30235318,849529431,42549571,-1,21099617,757422826,332185281,892819341,459695008,-1,321949185,487705585,-1,-1,-1,350180523,495310546,-1,848109219,-1,-1,63747325,84760574,190566084,-1,413532457,-1,-1,545374164,904891633,539558505,-1,62297103,194756585,314485238,922161542,169903070,279285775,225156023,697131571,-1,115581675,112649426,-1,69252105,763810109,258528422,810317381,769170101,114204084,712009363,209916957,-1,848172236,-1,738823910,-1,381410494,647304267,-1,-1,-1,822487351,476042495,307299382,-1,497022550,260101133,339111924,198658617,91655730,895044887,597256709,284765426,705511284,452539902,-1,16289032,704910403,602745510,584043082,881945740,575490227,796501364,-1,6149248,322692175,25471185,-1,11859021,-1,864552014,-1,-1,420305896,524222446,16573532,413953939,-1,243998851,513481151,-1,470013883,602575906,-1,389563130,-1,-1,162141989,268364091,-1,747982938,-1,-1,618484969,503419817,-1,-1,-1,121629276,60314790,-1,972311420,7053605,22033389,-1,629758007,235079531,-1,31268279,277336225,775809506,-1,702083984,403678442,654871841,907238657,657837823,584967743,-1,879641789,-1,-1,419670843,-1,-1,-1,983823607,-1,250914658,104323111,343579205,430126467,846927994,3471531,44282140,304884918,-1,854825517,-1,718895672,250686525,-1,88159761,945844340,739993900,-1,191007297,333645739,923505311,-1,691050310,117173893,870791200,-1,903503361,236696336,293443559,-1,-1,-1,934450501,-1,-1,122542345,176789574,188320018,42252393,-1,22797011,791327444,-1,442071770,662578799,786661696,538765532,894471543,647870316,32089053,864335381,167860611,349922456,-1,-1,-1,-1,-1,959610891,88189090,86182514,971806951,-1,497793523,200196758,604893401,5180362,795565735,-1,366517196,-1,937410978,384406446,477662605,482677042,259679517,330279572,598994957,976139543,927051648,788787852,767940352,-1,24048633,815786744,-1,687653220,904229869,-1,781768075,801301664,804581906,980262115,817381581,444234925,522722266,676043615,288865362,64557982,62851433,13876118,650795814,394279328,121492599,80610450,291444153,605051762,-1,-1,834185293,127205056,694223373,749725973,-1,110748248,978401894,-1,220551679,-1,-1,128588571,-1,575686109,858883285,-1,-1,-1,-1,-1,995563127,388047162,381046687,365459014,461399468,-1,-1,749919278,-1,719516699,676903359,622960557,-1,46448511,-1,120281085,284066261,704603722,-1,369754580,-1,737549725,325770436,723142242,864732574,-1,-1,-1,435323039,793523376,-1,722754097,631767328,316308262,82794481,198597759,506252028,428203335,52068566,443966314,190250626,537794512,647252958,925913822,-1,-1,158817201,277530886,688528175,805010339,-1,449948032,-1,-1,-1,-1,-1,-1,919263975,868556635,-1,-1,-1,-1,-1,428627088,636971572,99039420,-1,-1,304690938,4555556,682257877,940884159,281872844,-1,150732325,814629958,604656411,116462016,415155076,735581945,974102354,392565700,463048570,58773437,238612932,178846187,180268764,227832620,10817008,621936711,-1,113366243,-1,677653835,332129595,-1,-1,-1,198130489,681790561,82609384,-1,530168732,754288255,721451892,289800195,-1,351352967,-1,316330137,660419195,275704040,-1,36993695,327619542,568570111,442277347,-1,829196691,442210417,-1,600529770,21161002,33260084,224005163,602654179,935932539,-1,911808102,678670536,880932443,-1,169232455,-1,-1,535834312,28353636,546351382,79041352,559154628,-1,-1,290648661,626416687,900274626,120403113,323751500,-1,74658409,341803992,141030810,188736493,-1,849178456,-1,-1,874903175,629477662,-1,706584410,168236920,989242735,-1,939240015,166142925,684715220,304929597,753035557,810350373,291214982,753691197,197374547,702418660,-1,960963147,-1,246559233,-1,239715017,559945655,597161073,-1,170391372,-1,-1,-1,744333480,341768474,772325653,-1,-1,-1,230533329,240133544,85026215,213770002,593490306,293525728,32650329,999623254,-1,-1,288360090,-1,-1,543999216,635989276,24066802,55606322,-1,399746701,813857750,323380772,47027987,-1,-1,-1,424197408,985611257,-1,-1,375223344,71944379,680135297,-1,964907926,23121561,674454874,765121299,693640003,518959249,-1,-1,60667928,319241420,824084014,548836579,108462780,73147599,463181721,892280220,630930647,199355284,204240808,-1,32102810,716256152,236868997,-1,946470775,630258003,-1,-1,589932081,701379559,982047759,-1,-1,-1,-1,427029437,979921145,496008687,278593548,954955762,537890307,-1,-1,451820136,772802673,-1,-1,-1,475199182,-1,176858482,-1,277655161,216283360,81339585,945499028,124300669,88830637,518937349,270958267,378954451,651697450,139486198,49093950,200591000,-1,-1,70517979,803032993,453856760,780048130,509575419,-1,641595420,-1,566075251,425567722,-1,795017193,-1,350794744,382554907,5742417,-1,161143453,-1,-1,-1,-1,613554224,-1,370607155,161381607,414781624,405778934,539041340,-1,-1,260415397,437198227,849057841,331738949,417558726,578779650,914340242,173343586,987299232,753146323,539589454,232952218,356502888,831111582,885652311,-1,848678108,-1,-1,-1,-1,-1,-1,-1,658782287,154176849,44586669,878679973,-1,692616911,19618109,3479215,235890921,353961661,281048000,63485490,419249821,429181140,473979313,-1,38250986,-1,385937590,-1,462794986,-1,857508221,301837567,-1,425452179,-1,-1,783188080,218065594,-1,-1,734813607,561776743,588566293,570452163,93904975,344381102,-1,-1,954571259,218948367,199348583,-1,74423287,606859571,230580642,-1,298615240,424235763,972700877,127777925,-1,980177218,438385983,474060201,116245857,731899325,186644280,-1,743754699,366942365,109465545,-1,740180698,-1,-1,950968284,382121059,6043535,696919359,350639551,-1,421067103,65237392,562085068,631985202,557930690,409540040,-1,-1,759675532,-1,875142049,878219197,-1,-1,385029683,289123827,155814659,-1,657804405,69511440,-1,215736969,520817459,74186251,-1,765729966,442629987,365781954,869348357,868633208,255682564,202702601,307871780,623521702,797981772,-1,554671806,-1,997019231,-1,650802305,458626044,953120207,487171673,616261996,68735707,59754900,-1,518968310,484495742,39332827,168212436,792759172,-1,909162395,338379025,-1,691786690,926803391,542213132,733884487,883489285,-1,-1,657045161,938212896,300611806,619775123,182842963,396414984,-1,439278166,-1,-1,768925311,481969397,179396207,-1,-1,533135780,848240854,618230816,863462451,684286721,912639914,446637225,159265337,935981496,796659078,584457476,846562254,585049056,-1,-1,434232424,529249929,746554905,285663561,986362490,993845820,596618693,-1,266502650,-1,624751046,-1,855631603,511994134,654637742,842636063,717252598,739931187,-1,75771772,747462578,761315560,843314679,18819496,894979837,-1,857747358,182160834,714582551,-1,784592340,-1,-1,390050211,42952688,490106038,173848083,-1,793488436,-1,236310000,964029070,-1,457785810,92479500,-1,609036609,811160053,238873401,540490703,494982413,49637497,252062610,845070783,458902365,764420811,117499453,-1,14320570,196850417,808720253,694422036,879957953,90573259,-1,727194878,290419169,841350406,416198087,10540854,660445607,547597434,790870243,79334811,790437372,526656635,-1,423567803,-1,723280131,602345412,110540756,-1,865324171,760047996,994592340,-1,167839930,979140908,403549437,407329184,-1,373411128,-1,299839236,844666870,717992082,784464339,80376569,-1,249264658,1538889,-1,308701132,802855956,319374612,-1,-1,-1,305483204,321092791,241793904,-1,-1,594650892,982516464,345912500,526428657,-1,701798740,796872394,209013429,121785475,725946432,502118391,336880640,910315463,556862764,333321677,-1,539571849,-1,-1,703778309,-1,24829334,223377441,547298985,-1,73734454,523288984,-1,950022676,302465833,240809859,355474023,-1,-1,-1,-1,-1,-1,-1,-1,569338934,713348844,48566204,747729663,-1,411434577,446876801,-1,-1,-1,868018128,885906056,810875332,-1,-1,324154366,464113551,217048235,131924961,749688798,41352417,792631473,814827496,136794526,-1,719993432,661461823,911644197,-1,246890223,406086911,991794517,579923408,-1,891256037,354092663,216168508,-1,877542933,338635782,-1,-1,-1,-1,634842728,247841746,2247680,590439870,942432782,-1,708766753,183445764,625777998,699272631,975986551,329465086,951586678,-1,776902153,545248098,933422182,275670685,-1,461584846,894152342,19770698,499679306,814697692,356291390,980969123,498168376,-1,942865587,356248542,969845134,268316840,-1,-1,423620316,345850273,-1,895640854,365775607,745062791,-1,165578903,264794203,-1,206399418,225435573,435222658,587085616,97202875,-1,221317592,16078575,993842648,-1,808701977,148875277,326657,643390211,-1,-1,-1,543827867,777474864,207405120,515055311,-1,228013084,633986747,282622602,67810741,-1,952077,184923184,250938334,444213156,688409788,807924441,349681863,-1,581241773,928211596,-1,886904337,812717829,-1,-1,603070076,-1,-1,472132957,189209945,528148485,-1,165746460,-1,887975466,737494011,290046804,164716619,-1,933649204,-1,-1,663043919,59399737,-1,240458995,139513566,-1,936074405,695155277,361787331,811828949,223231839,171994213,-1,-1,900611454,-1,-1,800022714,854791320,342441618,159181266,491482518,516145767,992986992,-1,397627036,49419744,629829856,-1,-1,833381184,239252600,-1,205211117,4187026,-1,405194603,660360010,616798561,785518176,-1,-1,683899330,695774307,887049448,-1,757732902,-1,-1,864160338,406927114,-1,925770635,812666118,627609269,570918554,833915996,-1,25857012,108717736,-1,488936778,-1,-1,-1,-1,843158996,884781139,-1,2126385,694911238,-1,724526062,493257821,85680189,694105068,429097192,474091234,789262833,509048501,962462399,320585590,247186390,403639796,-1,959615566,152047778,-1,85202737,933725806,-1,291708551,622839052,-1,-1,150237454,366923178,787095379,381205473,396226651,710580831,644552428,456875607,692505061,881740351,338112705,-1,481455285,798973996,232464926,922090077,-1,804736676,-1,-1,-1,71236876,473212833,256626951,198512508,-1,742811196,490584974,-1,949385492,926590142,-1,430917745,901868633,345074538,240529133,799706089,-1,421189507,-1,-1,-1,248555006,667873733,954671738,717135373,369213522,-1,70594117,148823273,173429190,-1,868019975,-1,-1,735179598,-1,641861803,607931908,816835475,-1,-1,483519397,569402574,600867481,689695769,-1,258014736,981411589,-1,158363185,627411925,-1,889383243,504375297,231780500,981137713,-1,-1,437105670,259408011,-1,-1,294435070,-1,684765850,-1,951083371,352980652,-1,996650818,-1,934147162,608618579,417087321,384196258,495418749,-1,558975219,395423088,223833331,258196334,-1,-1,-1,646364326,-1,-1,9106970,109066743,-1,910343421,186776325,-1,666486278,-1,188758479,-1,255199142,835009114,-1,-1,561106805,-1,-1,376001158,754187488,769078046,81422705,-1,802507218,832144067,639160395,-1,739496652,155435183,415254447,349665429,169812620,183932143,747663960,-1,-1,849882731,-1,-1,899587472,-1,746652171,709028416,-1,-1,-1,415671930,131572505,-1,-1,-1,751114181,790040295,316899141,-1,-1,61263493,447557792,598216660,304105166,548877171,475473559,-1,995592124,160941613,593215925,518792134,-1,-1,403323895,-1,-1,903778045,322486543,424615875,-1,409303311,19558966,208492500,65989585,867080456,136851818,-1,37624547,489156133,-1,823245361,-1,98264854,91764833,-1,259747470,341263201,472871139,18081638,-1,-1,-1,-1,-1,286853048,619058840,-1,-1,340075258,-1,931743007,410016932,377353722,303120236,665022390,120483444,784437569,684249397,-1,766729654,-1,-1,202813892,322592330,148867074,953378091,-1,511359856,-1,504894540,355109470,347864550,-1,147821212,443025893,-1,-1,73298154,27586131,607780262,-1,132132551,264699184,95421036,-1,653139326,631733878,419159921,763761082,875468816,-1,-1,554809464,557206777,938656641,809384321,261228040,991504544,458804668,896966372,487892888,16825594,225431019,334064669,-1,290043681,13705467,-1,-1,636624355,-1,369599817,570598199,989858969,-1,594047611,335919651,961304159,912507700,360004504,925737991,682963129,-1,145382787,-1,616688873,9807684,8064071,-1,807368697,-1,61432691,579221010,-1,925549333,821556444,488042592,253871157,-1,367647420,807845679,22467628,284027966,451830789,-1,671145043,-1,354359025,-1,-1,141290875,991965908,-1,692922781,167305934,-1,837202481,248380087,-1,870439646,725513876,197373741,447933547,663356746,76000086,557401291,-1,-1,991867386,617824175,325559553,680181804,815570704,29740866,112182888,411313276,582645384,-1,421384020,414633715,292207252,41984795,817723323,5531169,179668904,594074960,449135157,139274757,-1,905374830,839176646,361002458,79207319,224469251,414125574,994509704,549265564,-1,465019525,292507697,106264146,-1,913132965,751645610,66302454,220958199,484352916,118596459,966825262,-1,188087773,-1,121308247,-1,633228539,-1,821586071,389069950,600480152,535724036,930050383,372969593,980568735,450962708,-1,572980455,964181534,345390814,-1,790475799,682825232,751985931,823105014,154777961,833622360,-1,961400918,-1,-1,670648353,-1,-1,-1,141313470,859404966,-1,-1,688604774,613400239,44919210,866479490,-1,217813507,-1,708103886,331069977,-1,796549727,-1,-1,-1,291949853,-1,943760321,165814559,470217420,361204425,391068526,163985298,416467465,709099783,437791303,463718387,802266904,790540376,-1,195241141,-1,-1,336312966,875391726,469084466,-1,369076299,591709511,799530620,798880020,559316147,139144346,-1,420427492,237620703,-1,-1,47224103,804897519,-1,887784436,55621098,53047130,645498420,164640154,438938749,447753021,-1,-1,872599906,303591799,66699179,-1,604425967,97787462,998667279,-1,-1,-1,-1,-1,-1,628335567,-1,902279616,141667781,367488530,110452010,970746843,857037773,349961299,761585916,-1,-1,917205181,684673976,462645030,494268313,-1,135976411,789648114,189563896,19846440,76413936,97115922,998113592,-1,377590338,331650596,-1,192506582,88614088,326471936,90868179,21349605,-1,990123807,882182343,972602572,19703439,546204579,-1,516053945,294645851,-1,12792555,-1,55741576,-1,320853427,-1,-1,-1,-1,-1,948711924,338286025,736840498,947069692,636713988,360756026,511156145,693130429,474044456,-1,949119515,-1,515025524,223928991,838473781,-1,794973830,-1,-1,393454669,-1,382255908,42272746,469552089,-1,497537747,2341498,886595751,-1,351037461,-1,187756535,-1,38916260,884368136,986970875,475725034,159612344,470614310,937978398,399576032,831251003,386948730,924485209,636576602,-1,989908920,-1,-1,830605924,-1,369765686,387778189,-1,644033926,708598866,648280860,555258950,697563171,80459348,819974252,464573719,-1,-1,-1,372192461,-1,457169953,406216633,659333113,226703315,824008764,803403481,214412320,594937777,-1,262753308,319007353,792571444,894995938,832429094,-1,-1,79658269,-1,621361136,-1,117126671,174994052,763372496,36032872,99049950,-1,495423358,140731721,-1,-1,-1,156696444,103709025,859798770,103269402,638077199,852441827,897121964,205376087,-1,-1,800733003,-1,268893542,32598615,135473689,12362964,139754259,-1,302698713,-1,-1,-1,241962922,426660807,452515288,206659719,635264623,-1,285617443,216062556,91526770,798388335,-1,837679909,379584761,262988219,378761708,784321742,336856638,-1,540685284,-1,-1,69558122,486039587,883621401,218394247,-1,561362782,80179567,586458227,381841732,657088028,6423534,526072618,32469303,774865889,87336508,491477153,-1,131573253,213092464,772837401,-1,990566764,-1,-1,249861301,175649919,327125526,844083659,819215874,505364186,-1,-1,467228551,573581757,-1,-1,351293652,-1,-1,-1,-1,-1,513470813,473296497,347115715,192792944,426561345,517855240,-1,-1,866008387,254268852,295046033,630460788,561111836,69481572,-1,-1,-1,262708540,-1,-1,38828826,-1,407807126,378111055,-1,444609557,562580135,601888574,4831043,100625867,-1,536302482,-1,506315610,668067667,102570530,513721461,-1,509240022,234476483,-1,-1,-1,-1,-1,469676107,757088693,-1,570751644,384872029,130618437,-1,15023616,251596077,263241686,121499168,112445568,697807826,147794823,-1,193039379,463534124,-1,831004563,637839496,238044292,266943783,574178048,978692135,-1,825257520,245835626,-1,276475446,874262894,65413779,788559836,188662719,444272243,-1,667172687,649623527,-1,723934100,-1,-1,-1,703724747,-1,628158446,24150870,891695642,640417107,67395686,-1,522567078,57173590,993504977,135627639,548502895,-1,213120367,486883230,877076131,484957266,-1,104003459,708809817,-1,-1,-1,396318550,137133948,-1,831837724,131826184,-1,-1,-1,-1,823779746,-1,777762452,798563008,393321908,428542098,-1,806886704,-1,-1,751710873,6237241,-1,315500378,528244300,379404890,-1,207811876,177162601,-1,848938289,173733618,-1,960028806,-1,121501405,661089843,-1,15137423,355020359,122936259,714821095,-1,803177381,-1,116793640,592483803,174807181,136146195,-1,790369225,627050075,-1,410470330,292197991,-1,493390848,716496916,-1,-1,579204571,321992853,-1,290944984,507606826,-1,500598992,747278335,866462635,776720671,495979048,775101476,771738100,937719601,260591318,85192941,92303639,890026457,395676273,363524132,275619679,525558595,-1,410311267,-1,-1,795312473,373223636,-1,525988974,448755932,58924247,-1,374882118,-1,950708107,109275424,646594809,457528565,-1,505608155,60089939,884752363,927706878,664955166,325121159,951489307,594646771,64239464,105720652,287919364,822794781,79190855,521608783,555031858,361263058,157973883,101904304,87018019,399307089,305154065,772945363,790085925,242686461,6744853,980614162,964377039,709732741,613185034,543065063,433490786,-1,-1,767466168,974900693,-1,573230257,742182960,-1,-1,922932637,-1,-1,886283103,28412821,-1,836608093,474788888,451938910,406518370,-1,524857612,877684101,585406606,-1,273187010,110819057,938524359,-1,50161932,878831461,265220240,68554974,-1,597197877,306253115,597811987,726870995,297029456,619798497,973312711,525283183,204326098,625594796,546291701,-1,227813259,247854962,452856786,999332124,349691324,265104251,372802587,46698479,146822807,-1,-1,966902100,462301679,855057294,-1,621225232,868106864,82549572,-1,434130460,-1,-1,226332560,71535577,239521009,-1,124629002,-1,-1,353525240,9566298,-1,-1,-1,-1,917130960,19571905,995565697,790436175,-1,105203837,-1,874107681,473703522,-1,669362147,216116622,-1,567409732,837099516,935279404,446410209,67872687,258489045,526859917,574929785,998860974,694572093,687460659,353841860,-1,818633241,-1,931848494,349442174,175347394,358503885,801527063,-1,-1,-1,333435334,210182519,695270738,-1,-1,-1,239692547,-1,234224323,251057497,516976318,876333937,74721315,421276486,-1,-1,514832715,789454005,153849960,49183277,521343073,641020603,-1,-1,440903613,-1,137403849,345676765,467557822,-1,218677661,785840857,-1,285614316,427502299,252228622,848206683,624797228,-1,312355590,710133991,81814821,860249249,800396914,805124494,488334762,234865874,971248441,56711163,75526194,-1,-1,272209081,-1,-1,471698807,324809687,-1,-1,289875799,284115143,33752145,332216579,479999634,-1,656412492,270330427,302529633,272327888,108539033,-1,-1,527328657,128814045,-1,625002949,-1,35790111,-1,-1,172141790,89750103,-1,-1,830651336,895751546,-1,115028036,921921968,955224725,264317742,-1,98870428,926484611,509242781,-1,258907386,-1,-1,732893303,600202946,-1,459607234,877495947,-1,818391357,638711763,219094206,-1,-1,-1,937236407,450570736,-1,879876423,404734150,309614748,75410075,-1,-1,671567810,314622170,742751789,533679501,-1,917338579,-1,-1,-1,416614560,-1,696058701,-1,504304061,286275181,470047220,-1,86980659,612396924,377866714,213266599,468362888,-1,128345446,570170689,-1,555679301,878028205,65589008,497806151,-1,-1,253121626,-1,157126390,-1,942639036,-1,339762637,120853509,556045823,-1,29987862,278132765,-1,819824925,-1,177176645,466046575,405222369,-1,579946378,577781209,-1,847199861,954883715,517322274,230688553,983525888,485497208,782378549,369781487,-1,674171627,327955858,858348957,742112446,-1,742342407,217974125,-1,-1,-1,231670403,-1,658631655,516415741,21889537,-1,-1,-1,349142358,867684429,459854558,-1,407637437,-1,75294281,-1,782701303,-1,619804870,896139933,637967535,-1,297766601,-1,853051883,800490247,403006976,934508304,64794480,513394812,476851637,275829663,59247094,78578390,350092107,592852602,336307722,752580171,629991770,813320918,-1,682959557,919624222,349875030,777451774,78238727,729662614,-1,357256005,192184796,-1,493559606,-1,101860493,905021986,664802791,897560289,211424910,840637515,-1,274597896,353010968,104860151,913348999,24843582,-1,-1,-1,79045984,-1,156139746,-1,753250947,504889174,947077051,-1,-1,89716611,814951938,-1,346105405,4618988,123625495,98514471,-1,101093408,17641280,-1,-1,92697285,708269637,-1,-1,23228164,87605668,130169242,159336163,-1,714267825,63936948,785438509,-1,-1,-1,-1,-1,587186792,644608338,-1,-1,-1,-1,911265375,32639438,-1,882916696,342568925,-1,417783522,482990570,-1,-1,206760093,-1,-1,-1,174139755,161011945,617781564,565470576,461101393,864527968,-1,-1,730518031,-1,355645722,458651971,600782900,102434762,104107197,-1,907873019,69690658,42834592,238582348,69091068,126066389,-1,-1,663313028,757167951,533660819,-1,-1,-1,542630660,29144602,992215405,145784124,627856692,89791439,-1,544219990,-1,69261852,99200496,-1,-1,697303308,559726579,242886279,-1,143607521,-1,-1,339407911,592150602,-1,135271238,155897287,-1,549364109,433316628,268669683,321830849,-1,48983211,289957670,-1,314754608,-1,-1,-1,746704023,-1,158641576,688668481,197386424,636155529,-1,427816042,554025466,281596146,-1,95083706,-1,97909534,-1,577359863,640949662,451421478,889736772,597052800,-1,-1,949311600,120769797,302594191,726206038,784282266,441810390,238937536,574199561,354289845,568339306,934506289,329045898,977898838,-1,72553547,971500703,-1,-1,-1,216008188,183753418,33663666,-1,662362988,-1,446004805,944321757,57211784,-1,-1,-1,-1,-1,975378476,419244426,-1,-1,57905965,525586511,-1,329183811,881510648,831447144,300931921,501081312,-1,48629112,-1,173446371,573122787,972910478,977148836,2167790,-1,822261621,460376111,464824037,329299246,770457341,-1,30055446,-1,-1,320241957,397806896,687974422,8188845,818548258,-1,-1,-1,-1,-1,131506728,769741303,-1,689947622,950185741,775810386,-1,652774141,263178338,749990332,370068707,678390427,64072412,944132824,963358178,-1,704631470,661167500,282739511,-1,752731160,-1,623461108,717961208,313995426,744289916,-1,615723659,315825076,266258254,910763277,563385605,-1,-1,-1,347596458,890276125,157520938,113112862,261703032,352803408,-1,224054344,985598794,494054411,533112595,508094220,-1,886446239,-1,504877574,-1,-1,392636696,583897719,-1,674831362,-1,221094348,-1,210605891,491635912,599589957,-1,417204109,903296830,463787933,893793320,-1,262437371,743721750,-1,484272890,158633531,158894167,144601920,-1,927531349,-1,655077447,637078417,825245925,-1,645472605,-1,803138411,216744269,679337961,-1,547877119,909555209,-1,117518986,611421255,504838451,-1,737421866,387349099,443185608,788417631,497432182,164912801,576108296,113049323,484256724,40815986,655280190,-1,46707979,-1,617336388,745279434,-1,617093202,452222917,786850124,915110691,-1,-1,412625268,303091955,259018490,395915530,222602968,-1,331857623,-1,-1,235206714,206242230,191793853,476022117,484099157,960318918,199732223,196787330,974151806,877538376,172310012,460427740,489497314,106376473,483265375,279063441,-1,788917382,967898854,26789234,-1,445051277,101918962,554625204,-1,-1,313793304,-1,965868375,258728224,386584831,998860585,118819429,-1,-1,-1,-1,-1,-1,485688251,256773796,822397221,414078606,232255047,-1,-1,-1,168203905,384838194,454759984,592348054,450666494,-1,365686979,-1,-1,888365259,-1,374091015,960207935,509331915,284635610,814732688,-1,353297617,347947149,693142212,649547605,473509073,459391185,438929094,141283955,860540820,-1,823265165,523677162,-1,-1,-1,813810577,-1,-1,903479855,290562099,804709404,-1,311308963,215492011,858941107,345712809,63286461,-1,892987188,-1,-1,-1,751579245,94653333,414299399,544471816,-1,34010710,-1,771271158,-1,28486678,777909804,-1,-1,-1,344368967,559004585,-1,810275170,398833476,670637095,558717216,397556166,428634167,350360984,995482294,103602953,-1,-1,180037195,571610818,930574834,-1,903730623,-1,634499802,842665875,215491158,840664530,-1,46085732,-1,-1,630598752,109267915,-1,-1,950345204,-1,558363883,536385818,721376751,-1,88474204,967688476,261620611,933218135,868769816,-1,440610182,776725569,-1,621235705,468150795,-1,820197703,-1,34845092,136261507,465434806,-1,154727823,282828965,-1,460242483,-1,431344468,48110502,943595349,712407056,830584608,865152566,519765307,633267744,638868604,696448179,-1,688854433,652680847,201633200,616975405,181700608,-1,807614653,-1,996687838,722665740,182438196,-1,-1,-1,-1,359225912,-1,549556741,-1,-1,-1,832541499,6861548,286749169,123372733,-1,486356664,192609225,344002279,978969682,554109349,257801925,-1,-1,772497991,92122696,-1,73518257,-1,860657432,-1,761421487,-1,324166526,-1,512463826,171453150,331558801,851460387,-1,60882117,-1,869709634,690059972,709419189,-1,685421092,335149363,-1,75379767,199012164,-1,753540152,884872974,357232611,182682966,948808505,207072,696098167,32397509,938153551,497483418,703366706,-1,967057564,501669168,670417973,417425390,414321657,818881112,21508922,88384887,316772393,870970408,118383054,416049742,-1,673530896,650662075,51994860,130802772,628436453,350731262,353515304,-1,622703840,-1,297362528,130199210,388395559,665044907,312722194,891086845,30167624,826212100,470921296,456043629,-1,-1,834489379,-1,-1,650982035,-1,413335979,669225631,185520503,377338103,31854263,208796420,-1,132919707,451196513,27763308,163787139,787575528,275670940,795394581,-1,479618094,157344000,820228692,344897766,449110417,-1,-1,-1,180409353,-1,-1,961687735,385383154,574746959,-1,941529691,221540346,769042391,473077917,238112935,705946750,778764001,942141885,-1,599078722,32688508,761500331,807559333,814837134,289286047,897873359,1222709,-1,818313037,409591365,269398913,18941804,814479641,678762564,749424395,127710289,484978011,973005129,720159601,454207952,-1,143831636,334436594,974136879,-1,381345581,518465464,-1,-1,335098439,469660743,867208622,341160018,590998566,280218370,-1,109371074,463423649,776656791,748677945,298762914,957005425,-1,692037742,535092296,10336183,518830871,-1,244302795,-1,540107072,241833157,980926672,-1,-1,-1,610373821,299783904,652306919,-1,-1,-1,-1,384676422,919813738,597546569,-1,952325967,-1,39729937,-1,-1,-1,-1,-1,312362590,885773382,-1,232768952,-1,-1,930237416,246666494,673017878,759141909,718112171,739980920,883264500,570972330,-1,16298209,278839271,713138766,259411287,-1,539254941,183270265,-1,435956181,-1,-1,89081001,252069717,245615529,-1,957353249,277784421,507027725,-1,633503014,339391371,-1,341001080,-1,322915961,51094050,718521776,735317613,428585790,-1,379974687,-1,-1,-1,-1,567480175,350900947,-1,-1,-1,-1,-1,-1,533686359,839963543,212491664,492442361,-1,194464241,-1,644063373,169462495,512132861,358314945,-1,339854779,731619079,-1,-1,923011658,607663599,393809616,442717271,-1,184738851,345454223,-1,365259526,682003962,658388160,397339425,862203450,666122279,-1,950660350,132945601,493554034,574346101,530250754,736825967,405813832,167016686,-1,-1,-1,-1,271955371,629414081,184372676,379623715,881059318,800364541,-1,-1,-1,583631943,-1,-1,-1,992344076,824702040,-1,810664864,803629409,-1,-1,201262494,773323977,772466183,-1,859210538,636860436,723487464,566592040,165169346,64746434,283731998,819512666,-1,273250777,-1,363487441,57596048,200946771,293983725,-1,628249292,584246899,328929542,-1,582714756,-1,274933376,633348746,991328528,869621499,756715391,184808725,795845845,942132903,930568010,283614826,825369502,764011286,932210363,581786246,-1,990807833,402738099,-1,677101320,989994927,776266350,499850863,417704640,-1,521790076,556711770,934919828,972450565,104644858,966925479,-1,84607646,-1,-1,257172935,553379071,696510920,-1,56394926,-1,577148770,-1,494040929,-1,730566913,742010720,972364571,895924615,-1,127524048,-1,-1,810175482,284746152,279042004,-1,371285329,336093543,574259092,214116066,887423859,429686449,-1,141476602,-1,84486710,100075212,185607134,-1,397057884,7609718,473656471,768283130,515096296,-1,647321535,608327659,779269819,894385897,-1,219193319,-1,704440110,206402819,863301138,763369011,467988683,899316869,388864514,501551607,868082767,394653240,254551595,165344232,425410695,405538281,-1,832853730,820294298,949749175,987655842,667015776,610084472,-1,-1,742550131,16474658,484063552,709592119,-1,22424062,840691305,-1,411927496,224623696,514142449,-1,357523592,-1,972174406,-1,-1,591267809,-1,-1,811922742,412586701,-1,-1,41099668,-1,365068114,481344512,-1,557527296,142089822,-1,191229654,345532180,-1,246215506,-1,567107893,382861185,915705951,-1,-1,80716747,-1,638216364,-1,339787682,235554860,226383964,-1,868400582,39833207,-1,-1,551001811,67287285,641777318,-1,-1,108544027,-1,365808517,334323991,-1,80216335,213965604,344507250,481341279,-1,160370765,109006662,170015624,-1,978758660,69485662,192859188,22694362,648502378,728754870,752964345,715091603,490994911,-1,591258887,571079873,713149074,-1,166691972,-1,315581283,-1,978213058,399319520,384319621,123871937,77875628,-1,590746471,669211061,280822703,97592661,-1,636200268,577097283,586988018,-1,513077971,9819046,-1,-1,490388014,-1,-1,-1,434321418,778098621,914117272,894550246,395291644,339696859,250323266,542158055,-1,345056975,-1,981741771,516906080,-1,49033031,665031634,399274050,669727469,223899702,577588446,-1,910505087,664498568,846866041,295752980,768477087,-1,-1,-1,293386536,311826890,212525405,-1,162620179,69425846,-1,199737973,800010275,463739495,360353117,453940421,453003665,-1,937975957,-1,838323432,604962138,-1,408832576,-1,-1,447436733,-1,-1,-1,-1,537769029,-1,899038782,393649050,803076932,673885712,1107295,675558677,-1,115652054,129982757,238187335,280994137,652138446,494141075,576207713,830583616,-1,-1,653314321,378876777,918732556,893364124,783575681,73313195,-1,990287487,999239636,178506142,-1,911588218,146308706,501166287,-1,228426755,610104434,739620438,896602170,-1,382941320,468073438,-1,1134789,-1,711306295,391918645,-1,707598714,791392632,842808243,494570189,613544526,-1,589529737,564633016,-1,844273125,791268450,-1,183239626,380697440,844485791,995924441,866374840,-1,326795349,564086019,-1,-1,68433461,837348576,241204420,-1,949295493,816930469,765319134,141887901,280767168,-1,594887921,222769621,-1,-1,594754018,480975572,426009786,-1,770494027,-1,-1,346404686,-1,260387307,481274466,730663471,112768346,111006844,288059446,85521811,985971723,314871075,-1,818527160,499612077,725614368,-1,-1,128860380,791461372,-1,856934875,-1,-1,577543123,939074195,652840,233769277,157338998,891130369,830816090,-1,242171030,211243795,401719280,278969745,457019107,355241050,-1,722919961,575084278,-1,58066803,902575995,-1,828495271,39016063,580036889,-1,-1,512161194,-1,200924170,720618803,434001501,173603189,309705387,510376367,434607502,832631676,611926915,697250232,-1,746888166,-1,163492871,678016903,399991325,729007907,-1,443214596,-1,870180076,-1,-1,505239703,760615006,-1,554997336,15745646,745910413,302685647,130961151,33939039,419313226,47402814,342181171,570717118,246309890,347398750,650681044,-1,12555092,-1,60521400,-1,599306450,-1,196814132,523807587,-1,-1,721899019,244236189,266234319,-1,-1,-1,871168342,-1,309577858,653492588,705807177,-1,584795197,13008887,-1,179688240,-1,615419434,639088224,507819014,194492768,417477966,598428099,-1,274855297,746534429,-1,24048758,739198820,250302247,998054110,127529030,435753899,123797118,140107154,-1,870211923,551546835,746215219,310454227,114036313,89085348,904978719,600291937,320460772,292157239,682363713,265398667,569267423,-1,93778937,509100368,478256978,-1,495561088,116351785,245704042,546918255,878805119,791309303,-1,389758390,455830834,701145650,75116847,-1,182496894,-1,-1,-1,-1,692876108,958498202,520319452,290513644,-1,650211717,-1,184174330,857626175,-1,135601852,444425177,341177332,254658517,460559203,-1,-1,84220117,133209434,68919397,851564496,-1,285360450,-1,-1,764937962,309200630,-1,-1,48513861,-1,-1,578592716,510724548,47380801,-1,-1,444926312,-1,26670280,-1,524646991,-1,365897850,960479390,11256198,717423070,-1,-1,241573744,-1,353058960,252815645,24759043,346974502,724262761,-1,654305787,439273694,416261330,58503446,972527325,21677896,922242374,-1,-1,-1,61932833,-1,-1,-1,-1,-1,542720328,-1,104104006,264408649,-1,275726311,358003693,-1,13081565,712746366,531606496,29876501,23390269,800191819,832951898,917350726,788792430,573303980,-1,248764539,409697101,-1,-1,-1,687695455,435585249,839890806,-1,450779816,157808807,-1,250291593,49384343,-1,377896587,344097418,850634340,467385919,874273098,-1,241941476,-1,868183578,769872777,144854359,580252312,357468723,357059173,29371914,121035275,502276419,656203611,-1,425022803,767766662,732821607,739583396,-1,-1,-1,230466153,922748381,-1,204907118,66574781,46953102,-1,-1,203227300,236840050,194852193,160171298,440764198,-1,-1,293406608,-1,425759062,-1,767485839,-1,-1,-1,721503441,-1,286537133,610576117,-1,922555084,97926964,638377369,-1,91925541,345880804,912518885,72743549,454137202,883273294,706655715,509400866,927512639,97849084,692898095,357749622,294247967,892967023,639070103,602190868,205018620,-1,708817994,893644561,-1,713967071,290190815,327470266,915443803,729400710,-1,847014550,-1,44082838,335384005,-1,-1,10810132,717164490,-1,445370273,-1,57139305,821730571,90092979,858691756,728174781,642579839,265744266,-1,542155777,504519017,105062881,805746707,165731560,-1,390520871,-1,-1,166253294,-1,-1,-1,302810211,805164976,790132390,-1,410912751,48928123,-1,-1,649703251,732221722,843214709,991631481,-1,-1,150111659,233117988,-1,-1,-1,140696544,827003332,676156625,-1,-1,39019405,83628425,744623367,-1,-1,-1,-1,-1,-1,892461524,-1,156777521,860209252,-1,968066085,-1,344645273,-1,943093318,-1,-1,-1,755610361,281821061,105066855,894283713,-1,-1,-1,867911454,511096698,279844232,976993910,370302068,692016228,794097707,380072642,14332477,-1,157738418,543805568,-1,320319145,9225327,30781570,-1,626499496,886989757,761216662,-1,199178949,318902662,375396951,-1,700125065,439408401,-1,253970539,-1,298913935,639833307,-1,533917553,135515423,840714632,532177715,-1,643284663,409662083,974180014,23272226,-1,564816798,552662103,79151651,522362680,638874339,-1,-1,438815988,815320069,353326669,-1,-1,148952027,536963207,684266009,86102148,442435965,569920465,-1,63959685,531164726,593270546,438331590,179455951,-1,738445397,-1,375501860,-1,551815928,265956025,-1,-1,861979555,-1,56393290,641734190,462917711,-1,480348069,366857961,-1,494822680,960026850,575130163,67277214,113950044,397553612,295030982,-1,863379271,-1,-1,-1,-1,178399584,227007381,222593911,18190489,407943838,606388873,514318373,988524677,839159530,156142777,-1,-1,581345460,677063933,-1,456173527,-1,48588043,942810669,297312725,-1,-1,-1,335010837,836932189,743631533,901418325,-1,614641164,232133166,905789029,-1,339481972,785894727,223537231,-1,839017907,-1,139971510,-1,-1,144966661,698832204,-1,488733247,596850371,146332446,-1,916296383,564182875,407870218,-1,338482117,-1,438244225,440331901,-1,530696316,201369657,898557879,-1,126470807,-1,294209735,-1,-1,520909469,137061663,860278138,646953847,141411701,653383407,-1,-1,796179105,-1,496905478,-1,22942778,-1,268574319,-1,781246797,-1,-1,570222968,-1,92702038,921349586,641758813,-1,943785284,136311487,798237742,-1,70759536,441672531,317839652,-1,210489040,-1,-1,818281648,654852708,806651355,870434675,987908901,723925012,-1,31456313,985774993,-1,-1,210778427,269307878,981485579,500922177,328245937,429716451,665879373,166451898,512324110,-1,390241775,-1,892868726,204830932,191251378,269896936,-1,259444203,25691165,-1,362766323,532905105,41846607,398567042,815607011,444141478,746840627,522883026,585892461,517603340,851410952,-1,717576646,90250178,318506066,-1,22590044,220247388,-1,-1,411912821,802356400,-1,539817085,243831684,803194011,136150871,547471678,762379374,94416849,322688759,204767019,170778657,-1,964701056,273640725,812762206,-1,-1,465234654,489425012,-1,897942428,402505336,216758508,644528393,629276750,747972161,-1,-1,827818708,882446199,946858194,604431258,-1,661289522,864299064,541195495,24249853,422219908,787434924,-1,689950351,-1,-1,-1,-1,814501560,671649113,-1,239683811,774076462,504824620,655705365,940005386,-1,-1,310360814,852926410,376162653,921248307,210606250,46274864,471195278,966842231,146515863,136102955,17704034,466686231,125303227,-1,-1,495698081,355120216,-1,345200545,634664277,266625075,930055069,468081093,-1,733259023,552681039,661876920,-1,-1,411291866,-1,-1,589253462,771195017,362346816,224348454,-1,303695535,899707475,-1,684887113,-1,24307289,493335723,127227943,628300971,-1,-1,133717091,217554746,-1,462903955,-1,-1,-1,-1,97853560,98476157,666625241,-1,270301783,807761535,212647072,518505536,217988115,-1,465693047,974318355,-1,968236242,500295907,-1,846763447,-1,409364378,529647949,-1,-1,109759123,-1,-1,-1,860135706,583679763,775005488,913413538,644666500,102963890,-1,439845621,-1,-1,418417711,386244208,858866470,546231294,813210675,924292212,520910056,519103809,856252220,-1,-1,689618991,199804807,538157214,968134311,303367205,-1,790157235,104418292,397379200,676725557,-1,917707560,846324036,-1,-1,737991679,933795351,443340840,-1,241490389,-1,88080602,498754678,810233136,-1,733756175,-1,145516017,-1,-1,121081828,-1,47764085,401059733,215064673,540231543,377154498,833942636,-1,730805118,504905400,-1,700380338,-1,708723830,263076431,276174311,-1,275190038,-1,119095380,-1,368602739,309496275,958475350,750909181,134234436,793420836,-1,-1,998957833,163924048,83624024,778583428,234048248,485895782,187775628,182620627,39235496,522212098,930854842,412831826,700853754,-1,-1,932452097,347189968,22449973,429347049,997130260,952208350,-1,797528586,-1,952224989,-1,310119913,829379742,597474075,659711090,-1,-1,-1,725991300,860702823,877750765,436805596,83047091,61905287,91305871,966247091,879619555,83075149,913042872,-1,-1,-1,180674362,248454475,-1,795093365,996024251,128796044,127369836,349575745,-1,-1,-1,-1,558239944,893703792,-1,17204141,-1,749325797,34217266,135136570,702972559,268615086,835869275,430963810,320905668,402183404,802709447,17681194,940993545,381075764,250127976,315346083,535329740,795233731,401319806,369572377,388302679,788159736,120127011,-1,330050187,601657397,403531202,38115014,-1,232372073,-1,-1,214718797,239859265,-1,642096687,238140869,58161688,251815102,838940881,-1,563840388,735898475,476000460,312428869,-1,294250346,376438962,839453407,-1,137707003,439950719,437568398,-1,-1,-1,766795057,337872536,-1,879137052,789564880,532266339,816331633,101100648,13402628,527975805,37129917,48567598,-1,-1,-1,42978123,830527669,105187543,-1,222764807,804748261,542615020,456435398,-1,881698834,591879242,862099123,-1,368398626,809485578,-1,275639467,-1,791839242,-1,583716197,617598005,-1,469311606,-1,-1,-1,-1,152729229,423380682,133131274,-1,-1,948793203,-1,100291615,913653020,291559372,634429768,129083742,915874959,599342789,191172093,265273344,-1,-1,-1,7563876,-1,769774093,380989752,433037500,529808571,117003757,601255434,989890474,-1,102862541,926692308,81877013,110826581,52079325,944020166,-1,673065254,580055475,378701297,301517774,472047168,-1,243086880,-1,83430554,221373215,-1,784021944,235187119,263648831,38497336,134476674,-1,682239720,94386245,671246203,844643008,-1,-1,362508991,95622747,431983738,807306776,422301129,64111434,54300081,-1,468386045,138903737,659619589,-1,186077440,32985688,165380300,589809576,-1,745341621,-1,722904599,300385986,943869817,6967700,-1,621619701,894069920,121997953,-1,633767715,769122996,277974605,-1,-1,72909200,609350046,-1,99017037,349271986,964883029,919545246,279032988,240442242,927442130,994339090,674393131,168668215,720650995,316442099,933457653,-1,-1,641750405,89810485,63214650,-1,-1,-1,224160718,-1,-1,-1,-1,129795455,-1,902863776,719386755,588042621,-1,58890438,925169609,912498124,291746657,161942396,481384541,-1,253623250,990710936,461335566,569855667,544017904,774752698,447624503,121035394,6545285,823221937,789490050,770157587,-1,989449727,-1,-1,684035381,806986320,-1,294359602,42941821,993639463,267735931,896456034,-1,141825517,-1,-1,279201517,812395450,418447895,-1,918252693,-1,436623767,617663955,224873504,-1,-1,762170781,575088930,944883923,-1,465283860,35313140,-1,199585740,740171495,664660212,2346991,707358304,-1,583613704,205984721,333081865,-1,636697893,-1,-1,917352943,591025326,599823225,947384605,303008104,565370002,-1,429173859,-1,-1,793283354,784248504,57516718,761749014,452704444,290596962,-1,755929648,879432275,400489304,864613770,728791830,905733345,-1,-1,-1,572487491,46645300,-1,150692277,809454385,819370967,269503513,86658603,976715178,366943502,553698745,-1,-1,500558946,808123033,999388813,57532675,-1,-1,-1,-1,600086532,548372146,-1,58287459,264801804,-1,993531572,-1,377126870,263591993,-1,330547805,63287510,776912550,529536742,143499657,863535849,271990193,306188866,139933509,338663245,291307164,28307451,-1,911816549,127180186,175394136,-1,372505870,524453067,858500553,931080003,-1,-1,869006000,-1,-1,-1,634826433,662931486,-1,854959187,-1,-1,333778421,771040531,864846430,202235413,416856387,640712061,594723432,789529262,197124400,199682085,-1,449581233,887031355,701422419,864305610,210421482,250192001,878729907,-1,-1,270298549,273805590,15574365,982569311,379141351,829835655,208574446,374838871,969721441,-1,743742429,668900313,113460878,512474815,16146770,98164206,715589460,984633130,-1,34587190,219006384,797248640,227171116,887525540,-1,168097893,348605702,406172595,-1,-1,711804312,634872862,-1,405648557,437341500,372656387,590035409,-1,203348766,-1,-1,-1,-1,327998196,823013350,958652773,-1,21272428,743590130,-1,-1,-1,422153725,272041872,-1,458134971,551746254,434208363,844761978,-1,484966986,458265649,-1,706174362,243797713,284908180,-1,-1,340377344,-1,-1,263316420,161663263,691253264,46212457,525963173,-1,893572331,176240374,981746433,400493633,-1,168480044,-1,369240218,523254410,679306188,146229757,670698197,-1,347796367,141436515,-1,-1,-1,665146398,532710276,809998173,-1,-1,864844074,835381874,812699980,-1,605040232,751525514,640501990,898215545,504377039,677978767,841718582,670976630,786098558,535169171,-1,381007467,449981906,315254244,450285833,572788864,-1,885991734,-1,648627981,-1,356499555,822326509,50504728,375498006,481781317,206251439,2718668,477217825,467747427,665713404,-1,-1,280327143,-1,770418826,457310777,219752128,-1,89889240,-1,-1,-1,-1,-1,311492034,692771017,-1,885949449,229606652,991114504,890410599,487564298,-1,61524110,-1,-1,-1,415719372,647318359,803097762,-1,-1,580559593,428553328,157757878,-1,-1,-1,280003078,965142890,-1,-1,-1,736066825,749769737,168013473,-1,455479399,-1,756493201,101004767,-1,587320145,-1,827482485,612556178,181446557,-1,-1,225456961,581044892,-1,216813226,180701489,75821982,852825142,958322249,-1,-1,242912847,156956796,367636340,-1,223056786,627996124,304018157,289565848,875426085,220033039,-1,-1,-1,497938170,-1,-1,49112762,257373407,931965683,312235099,252724395,322563330,498488151,-1,135912755,474603372,965655520,584617078,347920465,966442314,942832143,-1,803345072,-1,-1,473505115,215086547,779414740,-1,798391412,-1,391265471,661982287,174452406,98431156,33157409,-1,427180299,-1,-1,937457402,-1,279227521,199174308,36532797,-1,531881951,884565920,771619637,-1,-1,-1,-1,991554101,-1,198868542,421463659,319444461,777659025,-1,563814575,179016583,297435329,496625364,-1,519389820,-1,194787505,-1,692975887,-1,788615297,-1,671753791,813808256,141030001,825692993,663243097,974619576,862936047,665778668,754493808,-1,660057614,-1,127424318,-1,-1,389731716,494868234,-1,569831674,-1,19021266,997121563,136586381,-1,375853528,159798031,-1,-1,611580422,366331686,438828995,431846620,-1,458104414,-1,953196869,588652626,-1,684490332,749870469,-1,836419187,392741091,-1,-1,-1,400828681,562195855,610752162,861288928,45216642,-1,637127625,853237485,921337205,199263085,-1,536128761,738987628,352310710,-1,951480219,325348391,900266793,824132668,138371883,260325024,953490562,711694551,376930529,-1,443787296,931932590,-1,-1,-1,-1,298124373,511966697,-1,402148006,-1,457509193,290098286,365616923,129226744,-1,-1,-1,780816643,234584368,311730379,-1,704595142,565184241,811363744,-1,143287006,886407873,-1,354076388,-1,103469201,949582552,-1,788143427,282097861,567710833,16312283,-1,388101033,36996111,484456899,-1,-1,941063833,353940464,-1,158466561,448274114,359088807,495443788,355691681,235042710,973793451,995289176,-1,-1,416613548,-1,-1,714275216,833221767,235681309,666809373,147354398,865739692,303276926,-1,-1,311849670,396375300,-1,-1,-1,22965358,176647421,363680262,745513676,254283004,6427485,-1,280833411,615327863,63050549,-1,381593046,305020155,-1,-1,57211477,819701126,93228346,-1,259266065,860827961,-1,-1,795501761,729492767,610699231,33580870,-1,364399563,983116867,-1,562420797,37798240,536800613,750067881,-1,19102782,326134620,208714813,-1,-1,-1,113811797,-1,-1,318234956,-1,117595350,189772187,965492809,801602814,837590921,-1,-1,751596471,323833651,-1,158343418,-1,50206293,-1,-1,772400882,467312194,827370688,943237074,850039273,167619987,-1,88202833,554645999,-1,563839901,336004731,-1,-1,657623741,-1,271879987,212680118,731206583,-1,448567696,935489611,855750917,956898067,-1,928714143,-1,225833791,447105911,218708528,293082668,144179959,-1,191169306,665578816,452379586,-1,647860220,-1,181846880,626366781,253775347,429054872,950244421,-1,653924745,130847222,-1,894657403,33479121,-1,735494532,-1,627637825,184300794,255104607,708019429,665101352,-1,-1,-1,134716257,-1,921964020,-1,-1,281861835,-1,657870732,-1,171542908,535670039,302614458,254790041,826865832,35284502,905632804,815197455,640278179,119797792,733286157,272933226,577355878,800482888,791408723,429897952,947526912,423731107,-1,933327846,-1,737445537,-1,382612946,289304049,-1,-1,106982028,160370965,435605966,-1,488956492,775658222,-1,625263965,480437597,947159786,314195869,92065458,201606073,-1,-1,-1,621331461,720942581,74431230,-1,26643054,262922953,-1,615599352,200465620,813695771,404640843,732504249,411295971,519437774,619648865,126193277,548687099,-1,-1,32177348,520657358,223864754,552359976,52291872,632789130,799954500,283779880,866690353,581623747,684197443,919112446,74592607,-1,821440325,-1,25640238,482207896,423323716,768209207,288243551,216521439,473871943,739445161,-1,-1,370155594,93508545,423490606,736479352,-1,154089823,-1,10356443,378081645,356128269,-1,-1,74494638,609842325,438417257,295710595,-1,173117843,-1,492246189,767731630,917460294,-1,-1,497048721,444958267,189505043,-1,-1,298231014,780254673,707008369,-1,240042343,387682474,21005729,-1,-1,211850112,-1,-1,124011797,450865627,765417128,480935860,447919108,-1,905782491,-1,98558805,-1,661629524,312218358,-1,-1,467013030,190092561,688948428,-1,433931263,328006454,887485094,865051493,435113546,323488978,556003616,421822670,-1,436369246,-1,579084724,665355891,966494386,420845803,742464845,179129849,-1,-1,655909570,363188895,-1,175764312,-1,-1,972014039,744930857,814889448,150359,-1,-1,760956197,29193577,242123913,55058322,366835397,-1,682725515,285248023,566812417,-1,200402827,789958674,489446975,220868178,-1,-1,-1,327499231,-1,-1,75962693,-1,-1,-1,487501483,873099753,-1,325530811,-1,615185046,16822787,495442310,-1,-1,93961669,962686374,173882518,455166888,-1,-1,557285689,615596332,-1,854783369,962888856,60340736,230931171,320353231,522734492,864207578,760742269,-1,-1,240283604,900867446,476078596,230762353,-1,-1,832667006,-1,223081632,-1,-1,512270351,7482283,937013092,-1,-1,592964080,135508459,120825819,301362593,-1,-1,129974211,704188985,551767163,-1,244086143,664490166,667203965,357380816,-1,-1,449030522,-1,372910472,11232755,-1,-1,-1,605315061,671308932,245148682,224035351,655201812,366775819,-1,-1,-1,630902289,-1,156287310,-1,113044914,382178951,358521748,722955954,70679715,683143909,-1,791446071,76296312,-1,164215944,952100864,-1,27571229,545719534,870699134,600924684,280537589,384571071,-1,424966439,163821850,676701510,-1,432947869,-1,568082596,514273950,557101590,-1,356965178,459006454,503333491,672979681,687262735,-1,53884614,257443428,970036791,863262345,90441201,217382772,-1,26419262,-1,414722027,256976141,-1,-1,45977825,-1,-1,784582369,-1,147709479,-1,287965008,858852063,186288768,639910709,990229795,-1,207939975,653954,748231493,-1,484731937,781120449,9626679,-1,337773198,-1,108137548,136203157,-1,738066914,246818715,540399928,877902326,431427197,118218447,-1,687092822,628484120,629942803,324402574,770489960,341469155,325495465,475241803,-1,-1,394754897,51484987,962014231,844688279,831637126,292143800,688975174,-1,146403554,-1,354802838,935007710,542035474,-1,-1,-1,228437325,627934713,-1,-1,929019810,818010699,-1,686879968,707136171,690228268,159569891,402041901,909747758,729499010,32560029,359318865,-1,-1,551083992,-1,53529099,523729665,975509299,963502731,109559581,-1,340090130,-1,539922263,895488915,-1,16437392,908046858,-1,-1,742841915,-1,552448493,-1,387884803,872850039,307594371,343020643,689897007,700885308,570976505,339327425,727357528,699614270,-1,286273733,-1,802434699,165093280,566423933,852209594,586336663,963362513,-1,-1,353459408,928753633,564960989,20231433,453413159,-1,-1,912078756,784016618,66000956,643499186,828822765,629770591,552955374,469019177,-1,788410766,354616808,-1,105454094,-1,-1,471205484,772129847,733045996,718506901,-1,320956178,-1,111110744,-1,88818427,550450471,500718127,824084148,-1,-1,480160811,-1,-1,276319374,-1,905808645,261478166,-1,-1,-1,-1,-1,-1,595289593,886111151,-1,506659802,614577583,489321712,433671577,-1,852513605,-1,89914749,595325920,43980283,148800512,277076191,743163937,116836428,912647543,688705020,264034096,994193034,677718264,-1,622807270,-1,764425482,66106688,750498344,-1,774503769,237373412,53610205,185097033,-1,173841518,-1,-1,506030326,310182016,319025562,528393763,127208761,643569636,-1,-1,709201817,856778871,-1,-1,250708616,23114675,846025631,51326210,289162473,42065347,987062581,-1,908555877,118964383,-1,649343556,690224659,-1,890549712,-1,149473812,376497789,-1,-1,535574377,876384627,121558753,767456226,-1,896990482,774058340,-1,274725708,155986901,-1,572592647,274805465,928371196,233258812,937254637,180685635,800062413,-1,429371366,486087804,-1,384679000,-1,979281711,275567320,-1,-1,258703305,558880637,-1,773473317,594795726,102321858,-1,536297477,192983387,966151268,636637576,-1,170935754,603945261,704664696,769655904,738971640,918522769,-1,-1,456342762,876192278,69576616,445410431,627599873,-1,964597181,804789741,601062736,516677976,949168898,790709855,77492092,-1,209073549,-1,833881740,-1,728476807,596853876,959591440,770246952,832181727,764294730,693445954,772665248,655840784,-1,868552093,207117899,616509749,720828155,372673984,915236363,436759919,287085627,986126387,815960198,1857148,223514389,522722815,-1,751424230,521170326,872737912,319276042,-1,291700337,-1,-1,-1,55193932,-1,395872855,551653216,815609088,-1,-1,-1,343928260,852264492,905465649,990117499,-1,-1,21842642,562504860,-1,623172168,122120325,-1,856836670,184309950,145004648,-1,3346728,50702099,-1,386089966,929708045,730331892,-1,532179354,487334365,44962485,-1,926191176,-1,202245468,80968352,273988238,811500581,843504142,366406848,-1,-1,819072983,803582986,-1,786875586,-1,405833467,753210148,-1,947247664,270691918,772666333,630822580,-1,992009330,878849055,319544054,914649853,711705108,-1,967567132,71265879,99486373,177062439,901502316,354520455,-1,132868888,348208279,-1,61440207,317996960,-1,339174717,500005033,5383027,-1,-1,-1,-1,318087222,930554789,630898173,442067753,855842860,678312710,909402756,-1,561292976,-1,-1,438124072,-1,-1,-1,-1,-1,14497778,-1,-1,710524513,293246371,-1,712928131,-1,975092142,241451308,-1,44464954,-1,-1,-1,877190100,346980571,-1,896922037,133980750,-1,698970308,245192511,865979781,469631794,-1,102214708,-1,509071908,57966830,733911536,237881723,-1,-1,220986629,373936804,655561046,989702152,83326886,219001677,-1,1500008,508136368,381739901,461644258,-1,918489570,-1,-1,818905864,675579976,-1,-1,423524498,87862958,-1,450035441,285913927,782967819,931843680,-1,-1,142904973,638486216,626815193,984766411,-1,317982843,333583572,346222362,25308583,269041269,-1,72247185,22689032,427560850,750355708,977400238,92640267,-1,309800301,-1,-1,619882823,-1,709670638,765199832,642043937,-1,-1,-1,954106389,979810871,608487333,538210325,-1,-1,263464464,562692179,542246290,-1,714937803,-1,-1,219617888,-1,531813194,949477859,-1,457097211,344130016,-1,397795730,-1,590302213,34239404,-1,-1,943343798,964087080,120324063,316147705,625220445,442639120,278640376,239529974,931621831,902939710,607960761,-1,-1,200885789,-1,-1,284220480,29977423,834386197,270464727,-1,392859606,533263784,-1,329551626,857844880,437373765,400871608,710567444,524143637,-1,699878481,-1,926037651,614186325,-1,475968334,825756038,-1,751054731,903497490,602889934,500677897,22919822,658161584,-1,-1,685734978,420169807,-1,-1,-1,961377141,936568959,-1,940843840,844061051,260756827,700829750,-1,487678644,-1,912060499,172365782,-1,-1,99399451,-1,264340836,-1,902482005,-1,182031980,746030805,-1,521564364,-1,780823350,861589049,4705334,500168361,931868918,227008339,487922993,236518317,-1,517614076,337427730,-1,-1,-1,-1,-1,-1,786104907,477439364,270806337,-1,716456335,-1,62992210,908775002,403129830,550372683,328229727,626597337,-1,388900806,999890020,480197785,890420689,369240352,174078018,198419332,-1,-1,477404916,738489371,802165221,-1,878887490,-1,731885933,49409146,251976178,-1,714139946,-1,309347334,-1,811388995,58509779,511493263,-1,-1,350845517,640817441,961774997,-1,147498232,456297821,855502788,413887396,923423538,802227237,419719873,599425572,798408425,426864705,-1,-1,-1,152571816,313599696,562954669,556503842,-1,-1,686598991,-1,468114310,-1,-1,-1,238711141,440842445,611642165,228785701,243693583,540684965,807593652,819728207,227588809,310840183,-1,729604219,636193174,161177963,248726365,514731916,441730046,-1,67189187,755233567,-1,-1,434577538,15051243,-1,773942260,-1,692499846,74508667,777089038,-1,579836136,-1,-1,609932023,-1,-1,-1,461509339,-1,675048328,-1,751618623,548068759,708654458,-1,42841922,950080120,-1,-1,394562065,-1,369937857,494104752,978224207,182907636,-1,620311751,53688274,491891570,6653929,495641384,70393009,857664996,522855645,278006869,322708400,180386276,999729480,66886316,194057631,462273872,902620584,119605659,13264706,-1,252686568,-1,76348227,777479194,622744053,328908974,-1,809302696,-1,876795190,-1,-1,-1,-1,284247508,756546713,-1,414725364,52052281,199882847,376526993,-1,580145516,298385612,717780209,-1,997353811,579149703,12252470,715117557,64155050,819174252,10488212,522062642,-1,862406254,460756555,-1,-1,293175381,-1,-1,275610602,532674218,240666984,889624390,465823156,-1,-1,100595205,-1,17255865,624029775,364539724,-1,207883610,396448619,713622512,-1,993591733,249519912,774564375,-1,569438270,447885060,98406732,-1,348732968,367218230,-1,757368270,315039494,156348778,-1,-1,926519395,807849068,245918785,-1,454494848,952074911,345751244,169263586,-1,26989698,-1,-1,587331945,668475488,-1,766542816,-1,290359697,861489503,751583033,341561135,489519091,577619930,683612106,301176716,955072467,120989247,718822182,52950545,127619919,715077487,203478796,-1,91736514,-1,158032276,-1,-1,159854643,-1,871473987,455068423,173168758,455862679,947940412,869338642,-1,-1,-1,805373647,-1,-1,894649627,302784580,-1,432700643,770006584,282645711,-1,465120140,518939098,290284959,525301786,762736448,253200288,-1,101826496,-1,41877416,135797209,201039601,180116568,843769344,373971252,-1,149542910,-1,453573347,348841521,413406793,939700936,589775818,182735609,910099735,-1,351917983,201284583,912697784,-1,514665164,-1,520384341,-1,244891841,-1,26179184,-1,743385127,-1,-1,810757116,678471798,894986412,-1,458352157,459951959,809057572,436654299,-1,595463763,233927289,-1,656095832,-1,-1,920121035,185797453,651842849,920718415,824206667,602203524,-1,484730888,164964571,-1,482725592,699125247,50236691,634952455,399846961,493725305,373183348,-1,-1,72614836,368377699,368521793,545963063,488480140,131054901,714521287,-1,17583884,900206525,586967919,997347877,-1,313730793,612976288,-1,31247748,-1,831702199,-1,838653875,93930754,732510353,455181155,492363345,-1,-1,-1,471738826,340104352,633898889,308673394,514891992,-1,719205942,-1,253116389,928285988,441633804,502717452,-1,450338721,893379273,-1,450100178,619211087,119397597,291574224,984974100,382378939,979019104,346745452,966882459,356235012,-1,541408204,-1,158865604,134156728,818105957,816266449,297627667,50264850,89345149,102187370,195889048,863149334,984052644,146384148,-1,472643394,941102978,-1,973396281,-1,-1,-1,27644208,113750084,-1,-1,486328297,143265975,390316128,311865113,-1,970746202,224218797,902836668,150413805,295222503,248568994,-1,52117499,678340825,-1,-1,731329782,-1,210918172,669600710,-1,945221010,637746872,605746715,329180803,970798214,886527007,335734350,-1,791395599,-1,439790320,49905386,330519777,647771527,412448759,-1,639848607,382295560,466848608,281846585,122251411,-1,-1,-1,-1,303962603,505011687,439032299,66860453,74031654,43643207,-1,835353895,294972190,925712310,-1,51918433,-1,353966432,932428375,400495129,-1,720597558,-1,12662401,638344440,-1,-1,79916271,-1,-1,63363756,-1,324455705,976222810,874196423,646581807,-1,-1,-1,417543789,-1,-1,-1,351785415,871827787,811307282,-1,-1,-1,-1,837537113,-1,518337589,-1,863275303,859713713,402142039,772651859,351359116,176072710,554303536,461945624,939539923,223204409,-1,798214599,410074447,375979550,-1,540821314,696016227,420925843,778868465,505893075,-1,708541116,232612517,421712101,-1,325152504,-1,400226020,873204670,952972973,721616987,-1,38644047,-1,-1,929271991,915988173,287385793,938112557,429729430,484242502,28149909,903709313,-1,153385846,527691035,130909510,607272702,45699181,578142666,740892375,339497605,-1,-1,995317291,-1,953936050,-1,-1,398054324,88904704,804593616,602196036,-1,378025051,654566231,898310659,270656558,975661629,-1,812706021,844700577,-1,894203557,-1,363585458,327328063,6289297,568170939,125435068,980726723,-1,242232578,512276351,99556057,-1,-1,-1,131105535,-1,130312347,695221138,498240098,325059196,600826822,688594894,36883935,-1,335637093,-1,189676419,252936330,-1,189480644,31895074,-1,911816103,876193572,619603806,-1,156210002,23142620,-1,908552222,-1,-1,269587457,-1,540411857,-1,-1,256904383,24302742,479442119,320573441,-1,528209122,764077943,992483711,-1,985902060,655686065,473791404,-1,599795167,317773317,587495908,675338781,886835281,256182816,-1,289486935,-1,306831989,814022012,573915741,-1,812622287,284434448,843903808,-1,158749046,560106015,276449086,-1,-1,865417180,917747677,567713867,455220766,634557514,217459052,433955327,281026561,13610863,663885382,-1,-1,159845855,-1,854841178,351660050,425126040,-1,356959958,290535019,446439720,960308294,703907802,-1,-1,-1,565997565,989057826,2336848,620589393,-1,703202686,-1,-1,69599053,341599507,-1,403547999,-1,888079068,966340741,627936130,228539704,-1,-1,984327722,935182824,746011286,-1,502823703,945412984,794760524,833973175,775801795,-1,908396966,296459980,68239565,377463607,255963148,-1,-1,-1,-1,-1,-1,-1,821581469,482043551,444661236,847654667,-1,8027783,-1,255111253,81974765,-1,168159378,655181119,780799423,305585042,328865813,112017856,162164360,157360764,140677461,659619792,-1,959497958,-1,-1,960701403,73287672,-1,-1,685148533,999951885,19981886,90734663,409020547,-1,-1,630125850,396642053,900898118,536235577,-1,22593788,-1,-1,-1,247990172,272328292,-1,-1,120040293,174206122,357040521,-1,-1,-1,800882129,856760138,951681972,539766914,904160377,373854903,617391260,-1,-1,787777784,291093187,-1,365028588,899866885,876928974,-1,783792345,-1,652466193,763804184,-1,727301895,915468878,-1,499410325,115352480,-1,-1,-1,851519777,996851850,288694287,432232837,45662842,-1,-1,-1,-1,-1,-1,-1,529075621,-1,6743763,655259062,523355914,415476824,892582521,408591689,-1,495007541,11409476,165307073,-1,475729616,752062983,69308671,774083444,351348845,68760594,-1,862477367,667953056,882699132,753824813,109349830,-1,-1,168602449,-1,91896015,474248000,11567462,424497060,720834363,122097815,170939940,694375483,-1,390663834,-1,-1,121381580,591474374,514357513,14572177,985750380,54395008,347703365,208824327,964373516,309316161,339964431,37632463,740452406,-1,-1,17027169,497835892,564967859,120101920,-1,276038581,633609872,-1,-1,-1,975093456,-1,-1,426626721,210458654,144811956,470754711,275041073,774414787,940658545,695563067,395591214,-1,659640854,182133803,654769714,-1,270502245,799564351,884831881,-1,291423863,627721759,745392917,-1,534116566,3134423,631302650,651927899,300202375,120041022,537016459,-1,-1,421664046,24774364,245710685,-1,-1,881702193,862370199,-1,303436260,42599266,871794819,-1,167314761,699630310,172551897,806025291,285034983,266549272,-1,269875574,47985178,-1,174464207,684387205,979369169,705211930,311162513,602188740,-1,-1,44671779,-1,933508515,-1,265689620,774345710,708809146,969665113,353353132,144616943,899384272,550320909,-1,163827967,-1,-1,-1,81872461,777050788,-1,775663732,489313432,342272839,-1,-1,592500106,-1,65535944,902463274,-1,786184539,71348287,904518574,-1,318931539,-1,-1,853463137,-1,757254746,835736428,838550408,-1,364924009,932124063,987289351,234437367,-1,185025074,244382552,840616002,860638044,561785418,116692806,891088960,585116299,100397024,-1,-1,98639711,-1,568841589,508524760,216230003,-1,213228698,468246665,360969616,238768419,129303536,-1,918388179,-1,-1,156143944,604385060,662982787,726144361,790872342,845489243,839304465,160677911,533981662,653223568,-1,283252385,390397534,210910831,457715377,764299973,513094505,350734017,858084799,-1,100983917,559643783,690602656,508376785,699228062,341867939,-1,170473126,-1,433031702,-1,-1,429795346,961129707,384436830,-1,946517584,797189758,556801419,-1,249858343,-1,-1,143838850,57781859,791647088,205786362,918739379,638172411,-1,490373988,322383092,93464606,309977842,-1,785922327,160205966,250279668,298593576,155165784,858063008,96917574,882285242,676687209,332104024,63327415,-1,250060494,46210446,-1,134158586,591075188,892390610,-1,188034808,845460182,-1,-1,222203324,411348843,336920539,-1,187127865,824904907,849239758,503398423,399424145,-1,188496382,111099419,628414494,773730836,735097792,145064520,489178872,681328526,-1,-1,988940907,-1,-1,599864281,385165019,-1,646780376,718662162,268178614,616951655,685085150,678336491,951985635,698598112,521690153,396883552,957055881,218405676,82641208,919951156,376461498,892276264,-1,154329611,649489561,653734675,-1,-1,-1,-1,53032496,842151917,-1,746276614,825838868,166912462,836495252,-1,905128225,685744687,178928572,306110862,-1,408404449,510721179,206536469,808083801,368363297,-1,-1,956686551,115167984,-1,-1,-1,-1,625115207,810915087,319191756,20746837,580205172,733156426,568666123,733441832,-1,450008070,-1,-1,-1,421148053,-1,24755808,634420827,-1,-1,732638748,-1,527491129,187004595,950475455,793563057,291284765,225652988,-1,844374840,-1,-1,-1,171409084,838004596,330960006,289054667,-1,-1,-1,317718001,300437328,-1,12476668,46787678,-1,501340305,820367329,-1,6172234,799506359,145466717,514922415,-1,-1,572421907,640196440,631784862,-1,415734847,628618344,750435063,235799891,845783807,-1,-1,-1,258005654,142205581,699749561,-1,962340313,507135896,-1,-1,304908333,159242499,-1,-1,-1,743172441,419699092,127269488,-1,433658122,503251311,500734201,563615696,688694285,409728563,-1,551320624,-1,907261431,-1,217388766,356301032,579694820,-1,990192731,752643233,730129750,191871528,846805270,99570628,352982092,648444644,36367970,-1,982350324,448179639,920402921,509107748,-1,815188261,-1,198770510,205629922,506722266,600032441,-1,351753324,790989334,801822741,-1,828883201,32359161,-1,91262061,379922195,187955864,-1,970787653,592076203,-1,33216090,-1,935980351,-1,145814529,441226544,-1,-1,758374047,49897451,-1,661830298,658719547,-1,899309651,-1,-1,-1,694320038,431503205,-1,-1,991197829,-1,-1,648006336,-1,66084425,-1,396326385,157666255,325660719,742620665,-1,-1,865127899,971332212,-1,-1,-1,-1,-1,463929295,693603517,-1,406403027,910005717,9886694,906005651,-1,437552189,603543886,892486168,758292591,472207518,751277851,196878294,376574794,86307129,721644114,389176233,-1,-1,620358782,-1,716905420,719254843,215870388,-1,-1,868571933,-1,912725094,478750359,398643720,56197160,188516046,-1,68332056,-1,742029352,118605269,-1,900797932,107306248,-1,274449925,11084677,521649657,481092418,589164964,632720356,-1,-1,-1,334692384,-1,-1,993641355,-1,355475504,135533028,449534795,-1,63215395,671704095,704848522,-1,229036427,-1,590263120,244662248,868693471,-1,243749720,-1,894100567,553397281,392531838,-1,705784965,-1,-1,987261727,-1,427637538,206607588,324174172,512481290,-1,613510464,740832210,494126185,896188955,-1,-1,979592539,50653985,895878961,-1,-1,585560247,284076204,-1,487085431,877680065,257665039,216048766,-1,-1,-1,624911849,385298027,69616590,-1,76487812,-1,356448969,950866983,153311866,297748007,-1,608254738,830749362,989593090,567242137,484841974,-1,-1,733729868,-1,247867197,580814933,-1,401811368,740267907,644701661,232599584,-1,821730959,293185732,665172224,834233333,77001010,612231340,-1,704325701,415752106,788852561,-1,-1,-1,707631843,-1,18778699,-1,384765111,-1,137161387,90030666,-1,409271078,-1,342044262,-1,653689098,562273995,471287235,412439342,-1,72325877,-1,93901085,-1,233093270,-1,140130110,411013418,869467788,707651648,268278308,968038630,458425862,12732998,241521521,-1,147917105,170880065,498468086,646304792,-1,524661064,683566189,795122935,-1,658590115,-1,-1,404891372,-1,287887750,586668143,-1,770293857,893434571,-1,330500084,939960657,-1,807605141,-1,383434991,660343585,893495338,405808618,199445211,924857610,618356969,40695160,-1,259630945,495820853,-1,726356482,-1,579915456,469876066,539673616,330981228,338653659,762294301,-1,381866837,565689162,431389700,328866296,-1,-1,439387476,932801686,-1,59896105,-1,51462587,267966128,-1,588107496,-1,-1,373684841,-1,281742391,2516365,163812769,455704597,84897730,336710980,-1,727094625,980900531,177050587,-1,124663272,503791143,-1,658723375,710275463,-1,478136025,-1,815772499,482047610,545971134,-1,370556313,675099776,-1,569697747,-1,11549190,98681367,-1,-1,337424113,-1,-1,84094032,-1,485510387,591259066,-1,-1,-1,241194990,-1,-1,838061265,475221632,111901278,802627392,756671743,968358457,526407977,78652377,-1,911223151,898766719,93648724,-1,664661657,661307545,401922816,-1,467284774,272269046,-1,-1,-1,133418790,-1,-1,450686172,-1,-1,648476877,207561418,732869298,-1,26512545,-1,173706882,155721898,93441200,-1,286999006,-1,351528383,75314305,727302042,-1,-1,-1,837429225,234014843,783571517,277370798,-1,56265011,880898152,207351167,-1,-1,697004654,-1,640874590,787778565,734867628,701359145,237041402,44446135,564424444,906193633,329583851,925010707,371620677,701579551,774288186,579183783,585802538,673996731,869641151,462373176,-1,329313392,-1,-1,32587530,-1,-1,-1,412531796,643548689,-1,989868667,172492600,58998970,528114125,296734906,-1,722847535,-1,995496311,-1,175550624,372102385,-1,371380061,368448698,555527344,-1,827116203,359797321,956423683,950334410,849685241,350272762,-1,-1,-1,-1,-1,-1,620512182,437751253,642447547,-1,-1,220084824,-1,517427266,-1,552473865,552654879,665611293,744430456,-1,-1,-1,872903843,-1,-1,775015802,210669751,144703424,368595504,386810061,27609050,60057627,-1,442370150,239347052,83055724,255187617,668716144,449144017,616427681,987931069,664883526,-1,187524869,112101201,322989691,817191244,748511118,152809731,-1,502696761,24350175,676222247,-1,193123270,556626677,-1,974504168,211300563,-1,113631193,-1,-1,661596556,-1,-1,495593662,837690313,924225690,75374831,885679162,488269173,444665995,-1,745468012,-1,50290101,-1,646045786,282793907,925236568,38977923,-1,-1,725110971,57502182,185599882,17295538,41112974,-1,238410236,681788629,-1,807208829,639642877,56159685,-1,-1,189572648,972806966,-1,611267371,305222237,-1,440494041,267339773,277530098,229647706,256433025,-1,-1,962210579,86528596,910551693,649992138,765738926,680707454,-1,451846660,539687021,430930427,908157566,-1,670253828,94497064,959495478,-1,764683753,-1,981846491,-1,864008537,869658876,738526659,469908163,553795718,473943461,756873725,537998057,-1,933679363,221732967,509310101,-1,-1,-1,491686061,-1,396095283,-1,696486166,869451990,344017658,127387353,-1,616001404,893125721,-1,595246401,977503120,892420605,181609890,111526762,905227226,689173283,595319408,712495115,48100827,429965954,-1,183494313,299172133,312296714,192932514,211231012,-1,-1,-1,166590440,540274213,907051829,598331043,-1,752130208,543690723,869258493,948250397,-1,-1,-1,442008735,-1,480314419,923876895,299112914,-1,788171344,991138394,152632380,507046946,-1,-1,653879000,695123682,181950224,-1,240977341,618592997,394311238,253972943,993575626,723672675,689481579,613355252,205202455,95068165,241653245,-1,951047189,458449650,-1,815505559,-1,712110915,565572770,838242708,805668521,576848794,519165790,850770388,-1,287979058,838796178,63425724,506670444,-1,451978051,125530637,868915171,799324966,-1,121482752,676553148,504819364,252233948,301972434,331838117,-1,-1,416939718,965227844,11545043,-1,778947724,622915253,382920296,894384999,784391823,906796762,355638021,738423410,210027641,696804164,278614893,-1,60172959,-1,632477577,353391492,-1,971941940,234617273,68813037,221223457,868108837,76501354,-1,562054482,-1,-1,59287725,952154987,33582514,300847754,-1,-1,689526852,-1,-1,742026848,883850772,812491291,-1,204007035,272097253,964738234,845806359,-1,-1,-1,994740427,112478477,-1,7399083,-1,-1,42732554,191898330,523860002,124388888,458205364,-1,-1,212908217,54645844,-1,-1,444599600,-1,752580515,-1,313231986,757471719,242595651,-1,842935044,170569148,-1,753089944,771500688,910023007,185889011,776193927,976487606,670668564,-1,367868856,948261231,323777076,108304993,181190242,670059465,-1,184574808,905356040,804711431,-1,95846474,162814490,943766982,705624556,-1,171014823,137828179,52559601,218141807,397103044,341820096,458073654,864757748,-1,698287460,667566663,562939099,369950106,281996534,-1,67182976,704087446,590659217,643715652,-1,63708986,458029704,509589890,514437941,-1,-1,822052968,-1,980603024,-1,498008946,943506742,611177219,716029818,-1,390678124,-1,-1,-1,918912182,961626868,788407529,383570426,431890257,-1,47423693,55401036,199193407,903104992,992505501,264205942,602139823,29453139,-1,676575636,720441128,740285258,823142711,-1,612170163,-1,665619946,-1,747060533,302166890,199274901,714808311,650769793,732045094,-1,144168951,580401425,-1,841591817,761416253,-1,-1,739781709,698830273,434408824,877040275,84379610,923634792,744171695,-1,-1,365591793,772854384,-1,-1,25934211,31979,776646989,790326541,354203704,960042673,467353784,-1,240556334,942457589,-1,235725979,133371148,-1,936312175,370905350,387319522,53994576,-1,149787504,593033165,705760796,637003070,596092032,650363378,298437820,585143279,249985719,966479521,482683595,584800459,-1,-1,432380325,506874885,439673014,747244357,372970320,740957536,-1,-1,-1,89561719,345742717,399313246,973998179,707440274,778996629,731594669,984717549,876871902,292257072,399911222,1758281,247284199,348827240,367884016,52837963,366738970,-1,-1,242609187,369162804,660286699,-1,45178748,-1,-1,156923848,708182668,-1,246011833,348399317,-1,736559431,-1,285811093,158306521,690070492,112950430,-1,-1,53590964,616295634,696034338,749973503,-1,-1,271256154,459948255,-1,-1,110870870,886855171,68297398,327822024,710208886,317972015,847505514,58310619,-1,630903463,552042254,641355739,425182375,57183449,634290733,-1,119620360,528614502,350631564,280504893,305426440,869888949,-1,687371766,-1,-1,-1,287827350,16752467,-1,20734690,481910373,874231591,764470274,150490446,-1,96638996,226051204,-1,765648666,330283143,-1,-1,117663185,876983233,445577694,-1,605712188,-1,384377188,-1,477474012,-1,-1,224883882,-1,126956896,-1,45252387,180616766,194145117,697853906,-1,-1,894457645,672537933,269229540,7281857,572151548,-1,95721799,24574822,-1,817924079,118530514,560528551,65633478,272705162,310146897,608495411,384193952,780388551,767356584,978636095,-1,744090727,811779124,226055334,-1,-1,405260950,338992899,526246009,94718247,-1,366636321,964121126,917974693,88821145,44310840,213407690,-1,-1,109747113,863211289,224962900,-1,888125603,532966366,242507035,847349327,697555101,-1,583683826,804039569,972942421,282972426,-1,307860726,-1,708237449,-1,799280017,502300570,724480273,72505134,316884923,384795400,191963645,-1,58398086,-1,-1), 995775846) + } + + test("test5") { + assertEquals(Main.minDifference(956058835,-1,-1,295614205,-1,-1,995266271,253581494,131516754,860480023,538501828,749077845,-1,394524711,-1,128589010,-1,-1,-1,67633240,-1,31184951,809174041,9503339,96291540,684897801,338180187,175066083,717171296,185420529,136088588,-1,80802829,-1,214223285,433827257,431428091,407629530,809415140,-1,124043947,-1,282417820,566383852,-1,-1,582284507,386757364,50857967,-1,48611692,153042945,-1,956444996,-1,108537616,-1,418427963,138609487,-1,90469596,-1,825094524,54447104,212741919,-1,913533002,-1,302904812,383809918,-1,-1,391522822,735794258,960672773,608205301,-1,734731250,-1,187048185,143875171,11808802,223192285,-1,873764560,-1,961985727,273361591,701452891,301857047,-1,137814718,-1,-1,-1,-1,-1,861901726,-1,138425992,-1,530200928,792682355,906757528,-1,482408118,-1,-1,766274700,-1,220322026,-1,295441111,145236974,-1,412752660,261991339,912970584,-1,588775682,-1,-1,256080357,455150030,-1,-1,-1,664286988,457415977,161724641,846849378,962806503,-1,243643324,428992245,397263043,-1,-1,149820414,-1,870121691,877123752,809460308,901507790,-1,679339529,571218257,5590904,860451058,749290709,783788631,967550699,466938727,989392635,6732105,842290827,553100759,589024387,151891880,759168198,971239733,37393931,-1,845531038,-1,234306983,-1,648121502,-1,827692006,-1,210350626,698413591,-1,-1,-1,334423716,16941357,-1,203521602,301690139,285131736,544378252,378042503,96738181,-1,436801945,835652134,986827578,-1,989003641,-1,325856870,-1,606536175,137892084,945959345,-1,384393903,259430615,-1,228407363,125401493,585632590,-1,604766365,473408762,-1,-1,42731535,-1,-1,654464618,724863203,987426749,-1,-1,-1,131140581,-1,-1,-1,368673133,104660020,-1,586512921,569499972,-1,229940555,609885978,949954357,253285771,-1,896850430,864297584,765049683,-1,189684217,975003952,690467239,254647888,815055563,-1,396636410,387885239,261103824,-1,498412263,980464656,821874975,-1,79948889,710833898,145404700,543002240,643273424,89268489,-1,-1,-1,677590779,-1,539770788,895725114,631040474,205100482,745904619,567896481,847553328,561292300,-1,401566637,82062148,-1,106004615,-1,-1,478979010,126650796,-1,102321508,707394684,233135629,873075425,987639123,727054174,748741802,-1,344340016,192439768,-1,514227317,120626159,586163593,-1,455149764,-1,783422123,487324559,243512055,-1,-1,591796401,60332288,-1,900757583,-1,383843157,834325985,821069858,-1,120165920,812568950,18486068,-1,876164309,605294843,21871862,-1,-1,-1,705487767,-1,877960891,548153799,770863041,406378422,-1,786786095,352774111,398389609,-1,898995913,286276851,833562052,890104125,-1,653456987,-1,597317027,450874870,-1,151794036,358629422,-1,-1,410448114,59423248,-1,702030660,-1,661440988,-1,338106020,-1,-1,428522479,7439330,939248224,813623079,626329787,200330465,-1,91205263,-1,707623764,-1,110593283,25909410,-1,664789135,394624690,-1,-1,-1,-1,904338250,-1,550241400,682874622,419414505,-1,689873984,126019782,987726894,-1,215966550,261925606,525390026,669538323,89508294,894827566,535360771,115970973,267289506,58215697,928593846,112836061,699731404,286328162,459648192,-1,-1,-1,634024621,296004413,986144934,787265128,255280151,-1,897064636,945103420,-1,815711201,-1,850309841,-1,150428220,-1,435933069,71903154,-1,565470080,266970988,354745628,979799847,-1,-1,-1,-1,7999831,724319635,-1,-1,389279843,875619018,-1,-1,-1,79509399,847708322,728515925,252970176,134211086,533560294,940459428,731008781,758656190,184774933,423678146,154505719,96663238,346750472,752527999,-1,475242144,633500583,150312140,-1,-1,755642536,519030068,637596198,752201974,162291112,959701058,-1,371708603,118260563,-1,741905605,734037701,635943607,-1,560624042,901444527,562783417,-1,318250478,482241554,125243788,966862326,-1,676457116,576975835,789232780,-1,-1,133973399,-1,173219748,731659008,493808703,151998865,-1,403558217,-1,-1,182468163,652252759,97596092,175556922,472326062,-1,-1,185945827,291105892,79495687,731663987,67449823,662758059,978791592,883110175,652861553,4975856,102000676,200332240,317030280,727268407,184572773,-1,955438905,734126510,436937354,-1,-1,784593181,-1,-1,830467766,658118362,304797657,326947558,-1,-1,-1,325410858,364951910,857783737,79293295,38921064,-1,459706393,-1,-1,437246932,456093586,911349036,974185443,-1,-1,-1,-1,944116423,-1,-1,-1,-1,391645989,85556423,294000422,-1,-1,-1,-1,402984422,-1,952775108,386884448,-1,829503766,819607560,38604657,884462837,18871524,741345296,-1,687626435,751298529,833247482,-1,743740414,-1,-1,-1,325589971,-1,405422989,815031069,955022231,672001822,647008544,-1,-1,901195984,620892159,626925928,-1,-1,826554650,-1,822475893,-1,-1,-1,-1,11862375,618679923,419055793,390100205,-1,193945920,937210935,-1,265166053,-1,-1,660349694,559523138,463712406,-1,-1,52694099,-1,519412786,-1,302361992,932127972,129628806,-1,468667974,435577815,376781072,-1,-1,-1,-1,890173073,190691091,265838404,-1,396510313,869415093,-1,926679478,714801347,-1,307900291,447715806,-1,561098934,586845506,924193173,371101173,-1,751787111,598422829,813899029,471968330,445770808,626233598,937162776,667332201,202117492,408317602,71920151,931837099,863561821,920450900,760327851,229889769,899397085,581505118,-1,-1,285713977,664831256,214698398,-1,424923882,138346774,40128765,408094734,903779864,-1,265952218,507998608,740676896,389677726,-1,-1,-1,-1,60807593,-1,626372241,885315927,639531582,405051791,34480130,-1,266268927,-1,629057959,655142641,139464004,-1,722416103,-1,-1,-1,-1,-1,681506656,45826187,470476300,-1,267197640,-1,384925194,-1,-1,750221937,-1,164606175,309095561,484510004,-1,743803165,328833147,989035116,816545109,277171926,185866242,-1,358818580,69602912,739500085,580016317,377999894,113035087,140427532,380334070,482548081,472757731,971710266,398011698,-1,561463231,-1,619876977,490385810,-1,1697820,-1,-1,-1,316586215,613644382,-1,107964163,944117227,-1,722311831,320952985,-1,-1,590443571,875752773,641742413,75140278,510833760,165984198,601806920,-1,330087097,353546876,447078996,994286139,424585794,830036608,409084515,45215094,-1,237055127,763484954,-1,-1,646866517,400660522,717898042,669201958,-1,826642090,284709541,549918772,988554349,925118776,-1,502048249,-1,-1,-1,868863646,791850449,-1,710603672,156516899,407802594,518864321,-1,-1,958555654,555790551,41120307,86024846,-1,-1,564192434,92971232,435851960,-1,886643058,266027573,-1,294021386,186668276,-1,6454940,596747391,-1,243648755,-1,-1,-1,611267055,-1,402214091,175457227,-1,828285820,159909982,479842270,227295568,-1,-1,600731627,610595466,342850191,51230564,951893881,-1,-1,-1,-1,-1,977349424,-1,-1,914516647,899473244,584409080,349731400,-1,-1,-1,546873755,407792344,-1,730214787,244802255,134693381,194453378,331791782,159788146,385969827,333438631,752103665,940282396,-1,-1,821381660,666262750,271791120,309110907,-1,442431057,911191720,709240094,297987223,-1,358968438,-1,652740788,619659297,-1,-1,363406376,140937124,705903144,533795095,627790060,553619508,602929054,257026411,489487369,-1,-1,222469229,126412939,-1,340327779,536571235,43408183,840186457,-1,-1,707680737,-1,469200460,919192044,-1,-1,328890620,285922083,727886636,-1,690765841,628307593,54851870,289419457,183064461,-1,-1,72491958,901993767,318148537,610974953,-1,-1,193855445,427679208,550433484,344751630,593203219,-1,282564927,313524060,852520747,548560313,178063394,980543431,4935149,-1,-1,-1,222878623,575343651,536614017,-1,252922245,885722808,-1,267464580,-1,221433064,378029066,816930338,468515904,-1,160690992,-1,478467077,-1,520197520,604743887,-1,-1,177133552,867914318,504788888,-1,928458243,425585858,-1,-1,488695081,687808842,-1,-1,-1,-1,25841724,782946348,-1,723878271,278050424,252291305,681291320,549764658,845698867,997614317,715509581,94583795,967098394,650330387,408852242,96049443,-1,-1,-1,-1,95864941,127897760,78849426,415569640,223400531,-1,615532196,-1,990704720,150945592,136048106,586846407,312831329,557930198,634713837,-1,-1,840898416,280023430,-1,-1,-1,848011595,77874846,490177724,424993174,-1,342441162,28699406,362399146,954628641,824428461,-1,385503603,567467521,817831097,-1,-1,-1,458497060,-1,373319615,220946939,-1,855616131,654118687,783616810,957155713,817654346,-1,156385069,424497028,948918280,44400318,326911988,423321842,363283229,676641645,4744704,320346029,-1,636082203,671905873,-1,473779765,-1,483439259,502742099,119982835,-1,52124302,979994904,847969025,410125543,612601096,109756081,402150216,-1,-1,-1,-1,786039760,860210059,869965756,-1,-1,-1,207958091,-1,83986292,-1,-1,-1,616442467,245100162,465742153,936622549,204007708,197881245,529279477,-1,438819139,792595411,842670759,471101976,-1,-1,-1,-1,-1,236322890,-1,418103778,218420099,502971189,77151438,761636736,647279950,237268254,246802609,491796652,439171114,-1,328972835,-1,323209472,603723664,647076747,667489602,483650843,153389634,416492656,775554331,721238968,-1,678425749,-1,820380646,360504787,315227461,103078298,-1,369151013,-1,-1,519878446,552584409,566755556,917581034,93221079,477174279,360897222,137555695,-1,740861745,728603973,394470078,-1,216226926,923418398,706047631,412066990,330552878,-1,-1,592212260,-1,889426708,736524069,517322025,246051682,-1,4737575,408279710,70515025,184543831,-1,317364721,-1,-1,-1,931957906,616770047,-1,-1,482823556,242197116,147894048,967671732,278671300,-1,-1,70942401,691204524,404743956,185138692,310359166,63139957,-1,210355037,996569662,161692434,640097470,667688341,246186919,465840510,-1,618333404,948252261,-1,-1,136142256,484978286,-1,224762805,664700897,318400638,813154249,-1,2748515,-1,798137346,-1,578304020,353315085,36936453,441037544,-1,-1,143267257,344899555,795987699,966180404,484738874,136217186,-1,640114707,338758186,567677833,916999916,70083995,-1,155627975,524754423,960593730,837831910,760557834,782790828,223395982,206626572,633950038,-1,-1,-1,536540305,-1,486213781,351596141,-1,456564994,117070448,325912491,-1,68052160,775899936,317309366,601659240,460867319,698072076,-1,197662315,84143024,-1,649117103,-1,-1,647282193,283390263,917523326,146729254,81988922,3770219,278130718,-1,485980933,46290936,993334462,126372355,774549224,887488498,956568831,770205649,-1,247506404,345974405,473735038,661107894,-1,235953376,309535773,-1,702976473,764580504,906603407,-1,908279992,4204554,808458096,76433428,46985558,878630572,-1,318726379,-1,-1,-1,-1,-1,672394096,477899830,741793269,284962961,-1,-1,562821190,685863992,-1,-1,-1,622206941,775725884,413730017,-1,915821942,418421136,698313034,164095250,492007704,559664150,-1,-1,-1,636523706,254484906,322094112,-1,44853103,103001244,525905270,933881641,601476434,134699154,166857235,630917259,-1,724755384,400594786,516325436,-1,473629514,801992494,713388883,-1,407943443,969422374,717562278,48040439,-1,39854149,30545493,480185905,-1,305131527,971134160,-1,635188121,467096731,774858795,165451683,92598182,205419087,686592086,968678958,-1,235927793,266014971,715703221,356183877,529460153,-1,542088458,573424529,301102290,-1,76995223,665647510,33808883,123500308,465325501,692035226,412449262,539898589,630793583,69299703,24241067,603774780,932539766,316544908,66758722,-1,478982816,536786642,671714840,163006883,915886701,251956488,184390910,59370231,-1,67000876,833197814,266417566,-1,240520613,987624668,653767303,297464981,-1,255449398,224391865,458268461,-1,287018071,-1,858041407,-1,525581837,544870302,301375293,-1,575556385,921644334,-1,251476353,118369005,-1,-1,376918369,-1,-1,65886496,627929669,197879888,667907038,824959613,-1,494545221,705646995,194997350,-1,451315479,919975654,1462858,774768224,562926323,-1,716997227,840199345,-1,-1,598179713,153687818,-1,-1,-1,-1,-1,53326092,226492726,135425560,196568045,581314598,-1,302320513,730327921,543832211,477387975,247266767,385542069,167719894,615007892,206675234,830895452,152938601,323321364,-1,728797799,559182379,-1,-1,330137725,269622642,-1,-1,445206192,39374753,272072885,167835529,805414611,-1,107411748,-1,651105691,-1,-1,24998645,697082881,496081016,138293772,8637806,-1,653941692,427651343,377401083,80645607,-1,600959977,-1,208019865,998708719,-1,-1,530754969,868084667,-1,353448053,147749926,575054727,889790901,-1,583546829,275121194,606651102,-1,650493486,370983840,232532380,385515633,66591361,548628444,-1,-1,-1,239815705,669204234,454408596,847855647,590959834,719399606,-1,-1,-1,-1,658071178,-1,597538687,980487486,864781468,137486336,-1,460491646,226084133,980100262,904501709,-1,-1,-1,294519537,-1,360829902,414628035,494910855,557143978,332154252,841915449,495374711,901068398,94832729,-1,693956311,249634877,283254422,-1,916498852,-1,-1,294756656,-1,-1,-1,-1,-1,-1,360905483,-1,753794316,-1,-1,430211990,678100167,981537855,-1,201269695,-1,476738400,583856640,35783846,648343740,954851952,-1,940227126,544805227,632632163,399949349,479106976,128051700,481971328,90777913,12035568,-1,-1,-1,337252984,-1,369836798,69642410,-1,397748192,652938963,29560058,170700734,-1,-1,28897407,562911002,-1,-1,118598184,-1,-1,-1,-1,704146695,809115915,961511580,-1,276913319,225839447,424084683,-1,-1,-1,246752174,-1,225816033,32421688,746095570,-1,937527779,574278315,214670054,-1,546308361,-1,55289893,251286102,80992253,965451062,-1,647968119,186612302,191538648,643997218,656234689,487118702,969862569,503783681,135627545,-1,-1,934011948,-1,757779960,451001576,-1,227444593,-1,-1,650878685,-1,856422135,804003055,580899503,978220852,390565097,-1,968434234,579596576,714302095,305538447,205060682,-1,809451372,603035303,404784508,-1,733532940,522316524,-1,859157743,268575669,-1,760536951,991761216,456330263,619883911,314490074,375659840,-1,828575573,460249283,824085716,-1,626808831,112168656,281513163,-1,416658595,-1,-1,-1,-1,159952951,411249772,676253624,997190703,855941080,-1,-1,678335431,-1,304915116,620064815,896782399,500640039,281985218,184300553,916665765,689344956,63514664,-1,-1,206406252,144829137,399805927,-1,553739864,149089745,-1,-1,404266946,482708787,267569040,972893681,45520241,13276183,825298458,48352007,188737134,-1,398550061,828300686,162637676,471143725,-1,315649695,725646597,386302776,62235403,749690366,840316104,-1,-1,640004753,876450180,-1,672356811,793390254,271170780,-1,648298216,299780291,950322367,185450158,834696174,631018329,265968716,943250434,271261577,194621659,962979330,132727247,-1,531697397,106552793,813404363,-1,359623082,-1,904682566,110343150,912747152,148476598,737002081,999089393,149806802,-1,979915381,556738843,634434152,435379552,409384660,271371726,311927610,100784568,440887165,164516752,841742214,257550635,952089120,-1,-1,635939101,-1,790753724,-1,119295635,-1,897695313,488681061,942607012,-1,33497548,-1,-1,992618348,322566679,278161345,460048055,451355499,-1,-1,871203726,985043157,661282755,-1,235912661,844107311,-1,23910007,-1,938766403,976858392,-1,395543998,955471918,940116162,242401437,-1,-1,527040072,666001986,-1,91741444,903909003,171788329,733606364,880936121,619918007,74939524,292167368,486294047,221988630,159471644,217459117,298980328,8726447,71032924,587594540,470734671,-1,230282550,43989251,100049253,-1,24659205,-1,238317819,652467935,-1,976182027,-1,537830025,-1,633438909,9606242,462391353,487007358,66044651,758701344,-1,-1,135241573,582447379,600884658,-1,214380174,-1,942198674,278771300,-1,64884211,776210191,981193352,-1,172283590,-1,768325209,345175697,647670244,-1,472957080,89108722,-1,-1,-1,892158184,42566373,862031168,-1,539302191,825364954,720490711,595086351,307038733,18969037,-1,870308391,735291763,893696221,771493313,102891354,361376977,859217098,-1,228191820,-1,-1,788437796,445453480,490773643,659694081,-1,146655667,444874243,425829128,849071392,496020118,634084812,668372180,16635220,635632360,982573730,899606468,-1,690435767,747373419,91232105,-1,145187123,130056695,-1,942883298,141646168,195593430,584483435,-1,451446594,-1,-1,171628321,441075660,-1,899542287,-1,-1,13405349,742838147,-1,629944483,191293143,124625957,587483520,336217933,994630473,385838925,444158685,985409864,311459471,-1,129342812,25619714,-1,-1,944652020,429698002,-1,990379266,-1,722152971,546495882,661406812,543881773,412617817,287058750,247964784,-1,-1,918420970,-1,637687593,253074734,939815136,-1,659184648,-1,778281881,-1,-1,871826076,219370093,545269819,255618713,548085402,914058607,461051057,306872311,-1,561904034,896371953,444898621,-1,206090867,504427558,-1,130765631,-1,920872203,432467498,441150833,528198598,869647381,721304112,560344395,698461866,-1,459418743,-1,639937413,259037443,886254368,383864766,-1,649484371,-1,70086960,159999941,95183225,-1,-1,79382296,994825197,732208256,374404800,801814065,876351191,251487973,940451831,-1,59513881,201241353,359126309,714459594,755283782,889833225,72983462,-1,-1,-1,-1,96591889,342896448,-1,376477039,-1,350547447,-1,650924593,609571025,483376789,847160723,379519929,482658658,-1,404026236,181923527,898991927,650987373,-1,23270161,-1,-1,807942022,1734442,-1,535354729,-1,537419306,803611696,-1,283574982,423646395,135806139,642076627,861306081,-1,889850823,555472456,7393322,-1,583468654,763769369,-1,-1,586754926,-1,-1,255911455,715679366,284399254,287364213,664013456,116618762,949177716,645489061,368177346,462137589,-1,944594685,-1,-1,923834609,482702514,521200120,886015717,939494678,-1,-1,-1,-1,748900644,547488751,677298447,366740327,810316710,756668041,-1,610521399,488747665,154423304,918499517,-1,779628403,615380946,130302902,-1,-1,-1,-1,-1,517281811,909783083,970215541,21183027,832868033,94469952,432493815,-1,-1,709719741,19609353,904558569,650919972,728125757,-1,371540476,767082497,151924149,84220827,501958621,914007403,-1,167283200,-1,-1,978623662,591402038,-1,104924966,329966132,851245633,-1,475869916,274492655,31845542,-1,-1,332300373,563501879,478157932,741596063,79898213,570695539,678027934,100661282,909038749,758228649,689549750,-1,402965562,569275166,-1,366034212,-1,951849333,243524648,882614680,797574082,-1,227967527,-1,916043484,-1,844166544,181340038,723244308,-1,819980812,-1,220231566,-1,80204260,692239263,90931085,941437231,529067087,-1,678555839,999250403,30761016,858158343,-1,-1,145855776,745705668,889809706,-1,988964057,522113155,-1,183891216,14321376,181688368,-1,142963766,973471555,79242760,-1,-1,836847883,148542713,979049294,-1,-1,381660607,458172359,478479120,413737613,990776635,324344795,523493606,-1,-1,-1,95778325,-1,531313271,-1,-1,124341520,-1,-1,-1,572934790,-1,-1,872871337,919182277,-1,420413379,27377048,211056187,371038120,378594892,879850624,212030304,134396590,687794286,-1,456386811,-1,-1,342234184,623633649,607320218,-1,205255021,382894094,-1,58186888,972844585,-1,-1,867503677,738287554,503949831,-1,302378523,110969083,531236112,494351322,145025244,342002084,188792072,-1,404286361,-1,-1,-1,-1,-1,406278254,95119173,63160839,-1,346063967,636301326,53817282,27005458,-1,-1,81266065,326267074,-1,359724811,-1,227959025,502217968,782455832,311888796,842246252,136286902,984683782,362173548,54812775,-1,-1,766945118,624960791,-1,878388482,166028985,370730303,351262775,83203538,888558705,-1,71916152,736451528,923912350,31910242,-1,-1,366437854,778108842,624292287,723896858,571388053,658340259,-1,464324116,562901194,181437732,316843560,-1,694519644,-1,862879267,379722388,701624362,-1,197168507,511640105,451672337,529810876,729099590,-1,987260794,291711071,51429160,195332365,235087930,45154172,773583146,-1,831856468,184904884,660680318,22486427,739601041,247447847,463428064,125873904,977192424,170379846,133100026,-1,-1,520320597,35840653,231961982,543348828,-1,240395815,516209165,482804077,386725642,-1,34727415,14513526,-1,-1,-1,-1,-1,952051104,503330092,-1,149845991,-1,-1,767937716,58754344,713339250,321607971,30071630,992864626,223316676,160949930,-1,44379367,596645449,436410909,859563773,-1,-1,799405249,727437439,679465178,694853813,201487340,750281809,766237790,749957078,590159290,694786008,658170385,285399712,791788169,844813935,136178600,551966114,-1,73692250,383023253,414328853,-1,975597459,-1,798710408,794583202,889696348,-1,921353005,-1,139693897,-1,-1,764479768,-1,680523853,356345030,89322403,225844841,44474322,515387763,349462821,713303741,-1,276895988,-1,-1,249771719,951422850,-1,-1,249516631,418459709,452961008,67139580,863595906,-1,-1,-1,857535213,346105287,236892116,155061949,443072582,-1,178102550,-1,-1,850741927,-1,613137576,391198131,19007556,398920714,898217675,-1,428257672,785346819,403037727,884271224,458153286,561396499,12568322,872559281,252984040,165936010,550844915,901971896,-1,36916119,226156907,-1,-1,-1,-1,-1,44903080,986674710,888540547,-1,652018343,302481991,-1,-1,625974736,716278462,670940876,354951753,924331216,232089621,750648299,83082329,978411422,-1,50549628,75286613,918051445,-1,659515998,512333699,901795500,22598002,868382764,-1,-1,-1,871601593,745201712,267140957,218956772,819876073,709641109,860858828,-1,-1,533296003,252300119,75765062,-1,940377808,-1,460635638,-1,47464826,-1,726132604,-1,633329177,809034537,211215524,445115429,268361462,48024611,992901347,143670449,308306930,296308479,288436175,19268985,851729660,515720382,600207832,54258672,-1,946278934,-1,318076281,383551714,930750554,530297644,173344156,937014827,-1,-1,-1,993598302,259372815,736047641,-1,924046768,167784927,73164124,349721845,-1,497555088,459715687,320673688,489651631,-1,860553242,-1,940825784,643560961,39968185,754125617,283464138,-1,946806225,373911063,547007841,-1,579446500,-1,109154544,443458,348556031,119242473,264399718,202768994,931486347,288005225,264905981,872240764,903255288,443978613,-1,802508199,444007077,679882162,351439697,-1,47368857,24299733,584088697,-1,-1,770169767,-1,988589932,914760785,616597905,-1,-1,595289114,-1,-1,495089136,500347631,960742209,640909010,-1,-1,660884346,412134029,843649622,516648909,-1,960632548,548356798,133986823,877587462,385822513,594343938,426833264,179796142,739780718,110686907,993303501,938327948,205150753,535510769,-1,305441665,676876562,784229222,461045976,699195376,-1,76996735,594231655,578764314,355283550,-1,-1,-1,421462347,439093115,612108778,-1,657015668,575738665,196713464,849770018,-1,-1,77399916,-1,696805590,754490354,932197836,38642686,-1,366705922,98927172,118983126,912658893,769513996,327966415,517984180,779375779,-1,706928461,117333908,-1,77334055,656068842,689915979,665367431,-1,216972409,-1,723986065,318040714,-1,-1,956745152,126272887,-1,601718117,985920790,136936430,-1,861747966,-1,551431648,-1,-1,78950173,674642470,-1,17621114,-1,840667727,661637163,285252178,235058475,377244388,786140717,-1,-1,945355173,691071228,-1,459529716,110270536,465544607,-1,608561487,-1,-1,449311662,676486502,-1,94798479,47731268,492048243,-1,374123453,151390930,430044610,547299605,-1,-1,308310614,869554793,840600294,-1,-1,-1,383675290,841579108,639582886,-1,586447898,499940917,317825257,-1,-1,-1,426572463,746185459,-1,11836000,202787785,-1,900176603,608211459,193916809,331746168,-1,655185727,92158690,722862062,105996786,-1,-1,129096374,-1,950983468,463990279,-1,813534850,956665694,654657559,-1,551040544,-1,849968513,477059504,908698946,80519878,-1,621512784,-1,402446043,471162442,24182312,643105015,-1,205103986,-1,896560470,767586841,714945917,145746885,263307142,571992246,179235401,222244701,840072900,422281047,463147177,46315753,349908169,453936818,-1,369132438,38182090,-1,779647802,863660910,304840775,-1,-1,108338085,702527996,96931181,593961692,141178464,857235024,-1,477255083,411588724,276652336,712758659,911618232,-1,911931085,379109475,413118324,935181578,86194622,594461261,831188423,575223378,345980676,481184908,888964660,343698599,188502861,448368001,-1,567897995,511114958,138644778,-1,308513517,667511611,172292781,-1,602174966,684969489,398549905,-1,405797317,294425352,341749361,994621494,-1,-1,149852446,831005024,555175692,355090508,-1,782566828,760067546,177149314,842940882,913193275,177380342,-1,585488470,209859406,100232059,559901477,965349167,954787827,-1,629009238,534393399,577925239,-1,106941299,241312005,704122507,577907108,882926315,372575383,-1,430204148,-1,287461999,-1,-1,467416750,-1,454246213,-1,-1,316954381,-1,-1,584343053,421717130,3767089,-1,-1,-1,-1,538039742,-1,769089301,-1,180048914,-1,-1,748046392,783494219,879053011,40640155,895980539,105515915,514055243,565584070,950094930,819915783,526671409,-1,462817374,191078588,-1,269444660,162134039,961838128,758723824,725902749,-1,-1,597614043,691235597,-1,542648598,-1,-1,180035124,700972383,491208227,-1,130675956,740821537,440571331,923729930,-1,274002214,896089691,358377910,-1,100878684,73198397,263981836,333528683,798120556,-1,-1,837404499,105169439,-1,-1,277763799,-1,-1,243121900,143831710,855348443,316294200,665029335,727921763,-1,163146532,807144447,471221667,803177683,436163663,-1,929600502,-1,116977134,644030663,58062964,254022528,926212321,-1,551656292,491842524,684680591,-1,655965042,418155321,-1,986146900,862618511,-1,-1,464320544,819275830,371762668,923350296,-1,417867979,245485141,514680760,581540219,207713285,620985256,570390164,-1,225601257,819136266,-1,966090812,-1,-1,178135884,634356355,-1,667486500,368883231,-1,-1,403152891,147234722,562611931,-1,410200059,153650027,-1,-1,774032098,978221544,-1,226677300,447160412,258136296,102841306,242439027,587205219,366689726,13246910,653409172,948840929,853387053,10406011,-1,393621867,-1,206657941,292267398,607361405,397866244,535527572,687670283,803787031,-1,689674032,866902540,834821634,377178263,797649994,12003141,326424288,942120066,758908228,881774680,-1,834474291,255718900,510273007,-1,646262308,713648127,721833802,656194162,697494187,496463891,-1,-1,15760108,783710921,973472886,-1,717796742,823414027,324927409,462412232,231547085,-1,334671030,-1,221043261,935106169,964452401,759188569,-1,333832516,-1,222801305,999472875,-1,-1,-1,53017462,38465176,703170848,677125199,-1,76868244,620441451,650916419,421996195,971280639,798673745,314328142,541946014,546718420,647782230,831673246,-1,-1,552599383,586628663,103611508,596482165,-1,574740203,504802989,562747641,386505308,-1,576658056,923752028,996801271,-1,-1,130049091,80815239,897885333,-1,-1,77683319,4666183,564798188,777422800,-1,786524117,392902670,-1,319535189,125010177,-1,603162092,-1,145994830,445518484,467048735,951570595,509583220,953628190,94638029,372617053,721015961,-1,735229578,170339341,300425415,-1,-1,521410849,967256290,-1,-1,565957693,-1,373290971,413375401,652779848,154004153,667346721,108514349,294270310,298557939,269125889,-1,422135248,325618962,152531519,364266049,-1,538687234,-1,-1,-1,716325288,791402014,-1,-1,878653537,699659741,-1,-1,922590723,-1,860706579,826721381,825120787,496809274,127995044,333160162,241530460,985868064,-1,-1,-1,-1,766788240,272848124,-1,265896722,157131340,-1,-1,983139910,420357229,858398948,369294409,676156200,55223326,105286599,-1,711016628,742287289,386368121,86933032,277510477,210069211,339021894,902486928,654181376,637416799,323650300,-1,-1,627646403,984014635,290143736,121168062,230663540,-1,214982027,955864572,232669257,4945567,178382235,275024254,733707730,901363534,303911296,-1,-1,921954573,799394179,243806047,120028719,-1,848290131,-1,616946891,179753660,-1,-1,143160175,511907534,-1,552005215,748168059,225237548,135489855,626867191,94408464,497686151,-1,227788882,311806107,-1,948649041,-1,-1,799963751,652826840,87720401,732946712,-1,280328718,939188853,-1,215806547,846773041,392060629,138995134,960579866,360985977,188170230,650978910,275598588,762022242,683589978,-1,642917765,-1,654264187,-1,94114732,-1,-1,509666781,-1,922974702,279638896,90003763,613235854,880647009,74217290,-1,882030561,25816609,-1,-1,727009626,464287465,333242198,822541774,441115297,334947191,789635457,658858896,84077206,219924315,658846567,413185464,-1,-1,180942922,-1,860553210,970203033,-1,203239447,410483759,80024320,643571979,318262995,-1,716117875,775617099,401083445,238844261,363459119,250252798,-1,-1,601758115,949780109,906955966,32215513,851389100,197535593,507023992,29040945,754968612,908738004,234355257,481300226,705901055,-1,727730564,-1,238660084,166582732,513457617,408316837,-1,824022596,-1,718461808,297702184,-1,557108532,-1,402276635,680920059,196755819,648032339,386762603,998917399,-1,208421788,-1,414191213,631567953,-1,970667089,492209318,787530603,882794894,532576268,455187747,182561418,550416360,-1,-1,-1,-1,548092105,-1,-1,647791695,436005614,71016674,-1,588946613,705757332,-1,-1,-1,691667834,-1,190806319,-1,950021974,-1,-1,590504036,657150139,311615192,748850567,959896608,-1,837230064,145221905,567634701,295400243,-1,-1,679504134,250408706,-1,484307216,437374974,170265114,197366068,789121343,962538765,656882009,660482242,444397815,653187440,335903323,832823112,44717152,123640242,-1,800992522,716968713,614424095,-1,924886338,111325947,224759290,606578016,889022610,-1,363611229,318917271,647077221,-1,-1,-1,892844994,182631773,-1,620305274,602869464,298410378,-1,778015623,587593402,989789547,638701183,463384775,-1,454505093,-1,620704793,908823847,271861689,307182385,172631305,202119630,469271921,271057083,766030898,-1,-1,6342126,464173592,-1,743473772,930376031,163612775,749429237,-1,875219372,486712823,938121431,97578277,171733021,304554414,-1,753705675,884317743,-1,557910428,-1,741741053,44085855,793001989,216807241,-1,561961838,536679941,190126024,611729363,912521046,300044668,783581487,455515630,-1,20397848,249480935,354206368,721374052,87041117,-1,-1,150180419,420097644,-1,97900998,411614643,795731971,-1,139107319,825049756,661527524,484333761,304399066,552598805,-1,-1,-1,836093554,-1,372680263,415249585,153957516,-1,366184616,548618881,247271223,614220216,289705194,-1,424496556,618347547,66220777,451718435,39753154,-1,965247587,186272884,937556671,343736969,-1,41968651,876338510,-1,-1,664539,227376418,669770742,-1,81070280,-1,635230933,292875901,617900544,-1,-1,637691748,636645122,-1,842777935,320472031,381143109,193224303,276762050,571385177,-1,-1,-1,125705609,-1,501901867,922572721,902279166,562858453,195961142,691374633,-1,283532506,-1,383444623,993761057,258088905,343545495,492781873,7875948,-1,755792197,-1,-1,623257176,-1,-1,264637380,93472306,-1,472456921,684826604,286369359,870151970,809972016,-1,-1,-1,-1,248677622,120850809,583863039,629094153,503454324,883095215,408039040,470828130,927670684,-1,443591683,-1,-1,853177450,675183187,911108045,19365574,268665489,786102682,837662300,945966726,465347952,-1,111236856,502067183,515739938,516980132,-1,778591138,423069161,158050282,734273345,66702969,280174014,-1,232393615,46743210,706619399,903272878,943463284,623706227,339936324,932415443,-1,959885136,696082105,839937203,142415840,985721805,397601016,-1,469464798,-1,-1,-1,891208873,204489352,920116888,36329907,381574684,-1,124447826,648588801,462640403,115512777,-1,195995199,566886656,713974995,246872550,-1,-1,56408717,821564736,861568537,353303200,-1,454990281,585935819,-1,92369486,476115068,-1,-1,300820626,652602235,545086550,387337547,-1,734097367,883991633,-1,-1,519028368,125019054,-1,-1,-1,332536212,-1,126542627,555467175,81246780,598947399,820211485,651730740,293122864,-1,-1,851219933,-1,773936614,-1,203517135,-1,711974420,797569814,114221185,647432692,158434234,833342770,-1,316172238,892974605,354588970,742586428,-1,-1,497942714,757190318,962808607,-1,605238398,-1,-1,642355113,734226821,602545210,930203011,546877033,382369574,-1,764764323,-1,623144644,-1,471369123,-1,-1,308041432,371852907,811382467,812976695,296327787,-1,-1,-1,-1,957800290,657596913,-1,621941787,42199597,104241545,493542065,299944316,56575982,-1,441705356,945700170,467619501,941773347,-1,-1,464774021,15557498,778091345,548598818,768964240,276169343,-1,-1,171908052,-1,738906131,86122009,-1,506367026,871245879,-1,172765169,233369830,-1,558966039,211538235,378813206,920208931,798470218,741478625,-1,513735971,543362716,497443842,789934147,-1,840381709,-1,-1,-1,837612098,254319829,-1,844232033,734271361,-1,714338533,263997069,347368305,331246111,971590807,615150711,-1,480056897,864434302,-1,845457491,771054989,-1,471153604,266842864,288309211,-1,140124305,-1,759910910,888237628,-1,950551110,942996916,316117266,156791421,938123254,543946063,-1,266989181,362484590,-1,-1,692328115,265272878,838375520,8213990,353039296,-1,-1,21597996,934499766,-1,-1,90110228,8467323,978437964,437571870,791925247,188222344,341042994,386897253,967092483,716166897,862900040,311192577,-1,338390428,378505480,849429592,890614251,982724535,-1,-1,301346843,302860765,159033466,379650368,-1,-1,789717470,-1,-1,358212395,-1,-1,-1,655438452,794133582,107194889,367794025,-1,-1,207225481,338948455,996875142,13060809,896420994,918604154,494464045,703899543,423758860,898032713,741511513,838845049,12858172,485801105,650354737,532033837,483010288,-1,57301853,14959725,817984467,179381052,-1,-1,730332626,703225248,-1,-1,962651901,-1,-1,660744971,702159509,967893248,481619450,-1,521298384,995574660,-1,710322738,978120428,285920120,-1,173710415,-1,674991673,166311356,58082174,397182489,-1,-1,555404474,-1,885950524,-1,-1,956077144,52088295,866250289,294050707,-1,92241999,874658184,-1,570670383,523740139,292097214,930454749,918568748,733432175,-1,267633885,689126423,880111201,947132236,970547133,-1,-1,520734913,339713815,711072758,-1,441143252,649853315,544274923,-1,991715714,310336266,125777051,-1,556083164,893630132,965086207,364276401,33549874,352358561,911028936,185497902,135666735,-1,782067879,798192022,-1,189740918,393276544,875648318,-1,781061334,548631368,-1,841310282,956744011,-1,-1,421031174,-1,559561087,66769737,-1,575038405,581968816,-1,46051383,363923310,784350659,-1,873652897,-1,430292014,-1,16718015,-1,185887782,976832665,962911134,525447017,271185322,171088596,683059825,678615941,534757352,-1,71948113,350094262,996944415,640103059,-1,245454436,-1,180474839,-1,-1,355475391,-1,619023981,776106654,242902565,139115744,216200792,257245372,658791045,-1,-1,252085046,24920183,653756060,301359390,159498789,-1,117134007,298812800,390102827,-1,-1,539533316,812669721,42762712,-1,831726063,791396008,808291994,-1,339665735,298684454,-1,272237011,477801193,911941323,-1,344765595,-1,68210591,800490216,462309717,-1,359386164,-1,991633005,3041571,-1,307530937,334209256,785236453,926942752,248183921,550988784,896376415,645864134,272214110,117816840,47631699,-1,-1,569931526,-1,916655725,-1,750235773,-1,412104374,-1,800090949,-1,740605473,818503405,108573398,-1,756258553,203512989,137475703,185413471,240697186,498249630,565590892,-1,-1,634747612,564849751,-1,173453970,-1,-1,293564084,242247340,110536428,-1,862573018,735204927,625451431,-1,466434579,314507540,-1,517300959,563271120,175429934,728917626,567374423,504918398,756978688,967294586,144239794,456029469,-1,277558531,-1,648349672,-1,967914144,151966644,-1,615553675,-1,879845991,-1,962164656,775511338,918511639,874372918,886892098,359690479,135117242,883466175,992821516,734782005,353219075,484981802,869009813,-1,236270758,-1,971767773,-1,-1,879926713,671438101,921397778,77439991,-1,887516057,362354463,800856973,329570986,72776916,713986158,589974778,761306798,273860008,180218104,949519673,-1,214745936,-1,523672555,620228378,474251745,991401011,211363282,209312828,715582905,477338408,520861032,948070745,-1,43436728,521138788,689721799,477181229,248841921,568019521,975812893,568515570,174027200,82000837,-1,-1,858743476,954928509,261883986,-1,851040029,774390914,686199355,387436743,73708175,-1,-1,110690670,-1,78365125,802125823,634304817,65053093,430974392,-1,901767849,-1,-1,-1,800806349,226046784,564602990,-1,867342523,33112175,364064604,-1,217725895,264417258,-1,171450646,207783795,-1,-1,338888796,398072393,14601055,240972204,687606698,986016913,799450543,98163948,853534767,-1,-1,559661220,546029522,625717621,707528394,-1,510776903,-1,973106856,-1,504045147,438058873,-1,141319876,265864945,-1,502318119,617181742,458159808,-1,-1,565023303,503478478,387704039,881958529,-1,980454934,210705346,733531070,328753667,241805483,-1,-1,-1,33989843,15869291,924184293,997237614,-1,630788384,-1,27883291,401653291,-1,118480965,970353002,674208720,-1,304350768,28547249,-1,816770224,-1,-1,387132735,237159247,-1,812129536,-1,286274696,-1,978628483,964701755,499852333,461918057,95543893,701055842,-1,-1,-1,757248508,950377102,631011023,-1,-1,-1,846668898,-1,-1,-1,467937556,267679870,-1,-1,934450831,766876524,366926875,203644048,-1,579141649,35474129,800017190,-1,607749411,617063781,911772884,513466448,-1,-1,80404828,839131892,669475939,577228273,-1,407436916,230598938,131500866,917370652,39246769,363430054,878440824,48950114,412648323,283334207,876166645,-1,6011096,451905905,-1,-1,-1,773600161,59234716,252664369,869514366,-1,165523624,-1,656486604,537652804,986989845,135649757,-1,-1,-1,-1,-1,371616420,355244528,386027457,545501524,347441472,415298305,-1,437525897,721228507,552328789,632978185,272393567,145359182,65406436,464467915,-1,681943233,414960631,253051019,315216933,770738363,762366245,113078074,938307489,-1,334431358,-1,807295849,446174950,275593782,-1,622292489,676267862,861731424,627043399,629187454,-1,792688568,217265827,235786454,697854674,-1,294156619,512014147,-1,-1,369609335,315341517,-1,31403795,-1,441515345,886278195,398681535,904941884,16437217,-1,-1,-1,739161423,38580667,325991554,-1,992547084,733693207,47715771,408857465,-1,-1,634251057,413065255,-1,-1,165140634,-1,880218144,747962667,905380263,550849608,140836195,396065862,582069752,356313865,419372567,29251725,969524228,549782461,-1,532435205,347663402,15119395,235821136,580549123,329219392,321346442,385408670,759125852,374830108,-1,102603159,121996720,751523762,-1,959184476,300125394,-1,-1,132999275,337393999,-1,658776851,655341405,215296717,-1,634751991,968046596,890983460,446454832,631899725,985004906,666822832,-1,636041545,-1,34752783,-1,-1,90293754,11807275,848874633,-1,460843786,-1,573897122,-1,303860756,-1,-1,221425663,-1,926098208,-1,576443108,731411023,457513556,-1,-1,300788303,788239392,852784129,948128797,994781786,-1,-1,-1,-1,-1,499194293,-1,613982044,933528069,460566459,-1,877936257,397229794,863403030,973223670,795550886,995447558,985578468,-1,805388709,-1,657118455,676172678,-1,-1,-1,951717308,577440193,606379105,369649325,-1,393854916,321184465,-1,-1,692203794,563645509,126302069,632281506,-1,626297515,32158388,-1,619170421,154736562,316184400,-1,120077616,524775441,585831177,626165078,560447095,941563984,99131465,-1,-1,40277309,-1,433356820,-1,-1,-1,213781564,-1,877343132,407891429,343711703,612784040,59102285,-1,602281170,523206089,667125211,711774170,731401519,-1,428752871,256156575,560900519,187305653,19962154,-1,516745203,-1,744679997,954880026,496035547,938224587,-1,661700637,717948920,-1,2931740,141349979,138256901,702625860,-1,134279523,684925360,405300010,-1,773183913,-1,465253539,124610530,943661621,320443688,636159177,605668438,-1,-1,492461190,-1,51177390,322539303,-1,58908056,-1,709311612,419868172,425656020,12828154,401314547,855371212,-1,594932434,-1,-1,806137170,31045674,572100521,-1,291196124,689518656,-1,338253930,952296370,964043531,309859659,-1,481198484,879616676,530918940,-1,-1,537476212,-1,352624626,61523877,165309301,-1,-1,41927730,256404793,197209864,120795200,-1,353063487,619399680,588000189,-1,964993584,-1,-1,839425344,768486276,548325015,-1,-1,304954990,718433797,838501213,208274469,402390569,966209206,-1,3000808,886251342,346157017,215332525,102594236,985533056,318912255,194392750,588033335,-1,-1,890986249,119101157,936088987,-1,-1,-1,17909158,54075365,403886949,145901004,-1,554073285,642051039,840008955,-1,163093733,-1,475382423,896792033,364507903,475987678,-1,745411532,763762886,676525108,-1,33987466,625253274,118994310,438513426,819978412,556339513,368627194,890136592,283034362,-1,107730756,728328595,570642184,902421228,505668239,344842839,134008476,869416217,114261298,-1,665810362,726859436,899781286,493590160,518954017,798898539,957915308,225105679,791732587,332293098,-1,904411443,263685996,38681625,782544155,-1,748878312,-1,694499119,-1,785986497,203368027,-1,683407402,-1,442031397,733687643,117814113,290835263,-1,279004106,940673575,699328089,-1,-1,894651442,-1,-1,-1,247251224,120954416,947022567,857266719,571284174,168286131,573469596,92414285,808074145,267935547,412355816,222112178,-1,638654959,799599287,-1,-1,-1,-1,231946932,246746218,602264643,612671368,373005123,33242126,242806307,755602816,369381462,203523846,889994316,960067323,-1,532135964,810194468,835159289,741605783,-1,467483957,565960730,960469148,403258189,566443707,-1,474341013,302418886,-1,244321285,274985772,848779724,846756241,717550607,919901745,884729272,-1,667883518,-1,738694570,317976845,704905888,500948077,510960650,-1,-1,-1,-1,573689511,-1,162023447,895384483,30684788,-1,597397409,425472754,841883964,-1,270208529,-1,349990648,648521624,376273200,247802071,581899718,-1,-1,50571145,749606608,-1,-1,269277282,331784944,-1,264265403,-1,-1,10267127,774152548,-1,-1,351384951,123087021,908719414,165939273,650843792,85266481,925596242,156865361,-1,891062466,-1,299458686,402027288,261578335,155188125,339154412,-1,-1,-1,515588079,716688659,-1,562680926,262525146,-1,-1,-1,-1,554896217,508373334,127239060,457334633,324586085,558609760,905963606,-1,799634765,139253231,698091989,528496274,-1,-1,903914248,87525880,-1,-1,899466800,82756141,666228845,-1,-1,-1,744553549,85443369,175246599,832796029,944963873,-1,498452680,-1,467017006,487631558,-1,947631375,-1,398350980,1551058,-1,305447197,-1,432881327,669254333,727603505,-1,797203783,657357547,-1,-1,149967159,-1,-1,-1,-1,361540417,-1,584391806,29067317,482498222,-1,92096354,577498581,792108737,281529828,-1,633175760,420999495,232647418,500281129,-1,927191327,749122331,52032439,477179823,36928608,190595068,333818505,68557263,759592845,684470757,405178364,851178501,-1,-1,826701117,-1,716154572,696670755,678003322,879072401,563567599,510718969,-1,167831374,-1,-1,545726545,179727784,194160969,664363602,574021846,-1,-1,-1,605185413,-1,462374529,-1,702948676,123773690,-1,441948355,-1,158561556,601279951,-1,32071907,536451356,554735432,409099956,420799375,582441041,53209036,569750589,725653593,724207096,846918566,134373614,-1,485612390,711777165,129572166,70898675,944586553,333990507,580448334,94852382,15519672,986310891,56748576,-1,832518076,767331258,859533786,725906188,172276386,-1,-1,357441966,315885446,-1,933448847,-1,726760807,459969031,-1,895906268,928022848,-1,999646343,788965541,-1,822764910,834463964,548417853,-1,834291485,-1,561617072,-1,-1,687426003,919724138,246003249,-1,-1,802115712,648247783,624185828,386871908,353880512,543083403,-1,-1,-1,406930650,393962192,598435041,688425166,937288753,20756890,511980268,39307347,937719341,418686854,965467247,929705010,810817312,932095294,42440982,542584439,911536145,-1,-1,-1,-1,389861010,415428009,807827451,319882934,-1,865575484,-1,898586769,-1,701784279,816670872,938265997,958923379,178962101,705416888,109526228,-1,611858442,-1,904258507,-1,957405663,366156654,470526469,387071473,757415254,541784535,-1,641685834,281873227,149349489,789217161,515105666,-1,892556086,-1,-1,577694949,973754548,924227483,202958250,596428782,892842701,-1,808623460,901937195,897586486,-1,-1,-1,504600622,-1,-1,326333538,-1,124749537,-1,-1,148724584,-1,-1,277298893,794114811,-1,176646260,919113810,-1,384070664,699971170,-1,-1,767247365,615575865,348535775,494092655,-1,112753877,343113965,-1,-1,408523313,837912066,795337901,-1,517455074,292433655,710708287,824674265,-1,-1,-1,427012885,127894010,643321185,-1,758193637,-1,-1,73278490,417910078,171689795,-1,802794840,-1,-1,890082807,-1,656047081,-1,422750532,-1,474473023,-1,-1,-1,-1,-1,381516290,545800071,843813357,-1,-1,569680295,160559195,-1,983737438,-1,86959385,161874811,839746108,678774793,517430550,382220624,257250001,167110157,-1,608355255,-1,-1,-1,-1,489125637,-1,-1,-1,-1,891969992,-1,-1,951894389,-1,489406575,106741702,283705678,-1,702985216,136241356,577164403,-1,-1,711526819,617321079,-1,528433107,612304451,139699240,404724765,788435233,908873850,-1,187782668,574493060,628029875,529414924,-1,593814125,630662361,631380563,-1,294304785,172206695,744881989,554744009,12736910,498867731,796586675,830153887,-1,263914380,190379512,218713168,202852734,-1,942996836,186658607,976917770,883849357,814163357,579890323,506821732,378171089,849929802,921005098,520702170,951785319,197699760,686798323,-1,-1,920515572,78784143,-1,710475859,-1,151403286,839330966,414353577,754391318,-1,835162819,346507959,-1,-1,-1,-1,687989687,-1,-1,-1,987680729,694922431,636721482,191544941,923869084,241147822,-1,451689504,365141300,443231083,-1,228703714,-1,969663201,-1,242110317,97072675,511050283,-1,115176604,-1,647729680,-1,-1,688079826,119207677,674650115,772368879,992189670,39083352,552423759,227219492,-1,33895376,728399177,737753573,-1,838213090,-1,748204529,968202881,-1,237241084,857693518,230007067,424212282,-1,-1,235817716,179272454,62387846,-1,529038821,872098780,903976511,85437810,-1,-1,483125319,-1,101343601,688268509,-1,41184726,610673835,805318809,-1,-1,-1,-1,999102357,-1,572432341,601838982,-1,435760359,535249470,71586970,-1,-1,-1,-1,122254681,-1,115298771,-1,-1,66810604,256955989,-1,563765849,774088723,-1,62139478,526811326,558993931,-1,878397004,352066988,437776445,-1,606311493,11905386,224832716,845276767,562379076,-1,496419995,723912234,78771581,-1,522405441,353131248,90977228,376994453,182561281,809363485,561576002,722431346,-1,-1,824337735,778456846,774360945,327129372,511134687,559002030,-1,-1,-1,811392936,52950239,553856487,977296572,306943174,881466031,628082894,-1,-1,921514340,-1,948557649,623525418,-1,-1,-1,197612413,375281385,370412756,657053371,993762323,559868453,420561649,828912506,-1,355891695,-1,-1,361779265,820732342,977811161,887845256,840089994,455244048,63302053,538818833,375566276,-1,-1,722074721,-1,708903922,-1,329543090,486922324,77951855,581827820,368168072,500272493,289127074,-1,740722530,592725074,965078615,-1,969314801,475051916,959549267,336502526,329659512,884681947,849771922,-1,491865835,44253541,181945612,495840320,197127046,297181360,118565644,130174991,328699451,523668088,393882475,964363331,469345032,-1,-1,338480981,484375848,303669005,838752311,-1,224832495,318245009,26012939,707990943,754951917,-1,497057474,61145540,-1,954908333,225396705,775933726,-1,949667534,455329816,307196758,-1,860332040,582401647,678016866,262769880,394061299,552011165,938235893,-1,-1,-1,968393708,591942844,541808961,597682797,152113264,954424468,558964773,-1,821649258,387926052,-1,-1,130670469,-1,7739825,679496196,568296889,259358624,472690031,934013265,482447633,-1,-1,243960290,26226006,-1,-1,591598298,65173776,870262279,284217821,136922011,372800154,733885198,-1,433678431,457915873,-1,24613729,1341907,-1,818763621,-1,-1,846891374,-1,758397038,99691157,898396351,-1,171310940,485244235,630873119,431105634,40276657,448738471,509073952,294081263,564178200,499569310,778603742,391833676,-1,906926040,-1,456530666,811791853,-1,-1,855985539,228735972,951647790,482218015,192572934,-1,-1,768023994,339327624,524688124,247890969,-1,475747083,161475865,582542586,-1,388076160,750920419,-1,8886918,-1,265916327,711234513,-1,497852925,919626121,-1,786802336,-1,737468498,366667040,-1,-1,911974813,-1,-1,-1,798857112,862301195,322482312,573629940,693014044,993445369,-1,297274862,290031864,-1,175450485,946604520,-1,82884389,239102164,367437919,-1,793601224,182312099,964771753,744727500,737828289,682806669,-1,-1,770740857,-1,-1,65154509,790933359,361089669,599031638,102535143,-1,433253848,-1,-1,205077495,910258024,708456715,956996411,-1,466443851,-1,249405274,-1,370821187,98315450,663837990,-1,266025790,77675118,-1,-1,-1,146820632,815550987,558538491,258685431,172228587,-1,-1,719572133,-1,136916606,122164288,345960928,801938899,512332886,683953693,502262893,233465424,-1,945328703,-1,851341824,-1,32761507,330491036,177434158,327105034,914690031,772096650,663820472,313284530,389511307,811180916,-1,-1,-1,-1,971770331,805920935,672525697,-1,839080832,139650298,479423149,697582354,750315517,825667008,644601673,178714891,-1,537740266,731651874,754530670,940160372,-1,815356250,-1,262904070,-1,-1,-1,280663058,33220495,817334373,625016917,96930264,27812480,-1,-1,93739008,-1,-1,-1,-1,220355930,-1,872640531,868051937,-1,219586916,249511210,497631924,329387482,267859517,-1,387242604,82501697,283558355,-1,341419281,-1,303045248,-1,733333226,535468787,322628580,-1,518709894,729823873,-1,42144169,695581523,680600570,453182077,561682902,160167842,225487105,367538302,-1,105864519,599059353,492064997,336252669,-1,160537118,960097513,121708900,-1,145464033,605306277,923368099,50789701,-1,-1,672115729,-1,291001609,-1,359535188,433668707,718553798,991090209,477997558,-1,-1,686941682,25255570,292556752,583344070,808976785,553097209,726034823,627402104,343439640,-1,214600671,920423688,-1,-1,636993325,168590811,360958260,981704429,446996908,891703991,272043553,-1,-1,137067490,357552431,80760283,-1,905408856,364818927,648942461,546415394,505598251,663416735,950055686,146687274,322998194,-1,669878170,-1,-1,28091087,-1,736245774,767506175,816697502,-1,-1,652360982,-1,-1,-1,619703237,118986903,-1,934174181,315234677,-1,90226893,539784158,138159385,-1,-1,166846280,852711139,852950941,-1,577273529,407297266,-1,-1,24192004,282569972,796886885,-1,393022072,673569195,341148780,900676971,-1,-1,184873716,-1,690994176,-1,698990180,498239789,51137705,511668312,193598567,654291283,175254226,796208447,338461694,271889264,-1,266246700,-1,801713132,959895746,-1,595448263,777849725,147486637,514040085,-1,-1,894687269,261108356,119673640,2035707,-1,374350267,468519056,915935708,253916918,392840141,266195792,66610892,822553417,292927664,278311690,-1,167481142,421659873,53790449,-1,637350629,684550995,297430903,75119269,66434091,-1,550652789,127355464,849516700,947686067,104896791,262167507,75779759,936231829,-1,916001383,-1,26624978,-1,-1,506313124,-1,-1,-1,-1,680386237,-1,-1,578733064,17527612,245050657,696578748,62174597,873552611,-1,660186008,11720310,70155927,-1,777123070,763802267,876675821,-1,-1,-1,79669267,-1,-1,53241569,985268485,255728786,11933594,-1,-1,986063466,-1,-1,2725724,272658097,775485318,700525930,-1,-1,-1,34767013,-1,130352779,579622867,2261911,-1,406293885,773270047,-1,400284235,51935677,-1,506062263,-1,501504102,580352493,626785181,249270210,742535938,-1,624482336,744151299,-1,520811237,53351629,-1,-1,232510746,917066132,834450549,453580222,162261523,853585797,5835078,852976581,672133498,-1,998928857,-1,36500957,169774238,410915396,75994220,312755791,408098561,-1,38235283,984489628,531098287,419281872,559320174,895635762,525769331,24906462,224526337,442695716,273224100,11155922,901465746,581804609,-1,600322865,-1,772155620,-1,708825575,363014771,123837731,770244786,485099515,-1,428805882,149805769,-1,983884967,843334934,878224912,482977208,487246638,448475690,465712376,994041060,-1,955769018,-1,890353991,132696075,282159431,-1,-1,227596043,-1,171697550,586519761,-1,-1,-1,59178406,53652639,129745056,452075667,-1,350958746,25215852,-1,495843451,263415352,178067900,520695429,505357279,-1,192274899,-1,-1,644812737,168098748,826963556,-1,-1,-1,860987909,790439003,683705289,572830728,597739614,175925728,-1,35840087,751565271,563072568,799849848,-1,-1,-1,902567152,877480342,791026602,678781284,-1,271237143,120808253,-1,-1,492513972,291045844,-1,-1,569248449,575420078,-1,-1,831553464,-1,368945302,-1,401096023,638280657,-1,-1,68567954,569589026,634845750,916516671,-1,664869691,613302764,843712271,-1,230352517,2567664,863035553,-1,263182623,213880846,-1,-1,598047502,634296264,-1,96277808,918033373,745175737,-1,-1,931085808,784422801,-1,553656449,441393773,105895687,140248141,-1,-1,465580862,639262856,-1,946882732,-1,893576209,705160162,784353637,865133888,-1,232476702,459245028,547892539,527406814,991014077,-1,937955595,-1,-1,-1,555228622,-1,861330563,-1,12037057,-1,-1,990986455,-1,-1,359453701,-1,592334724,644690437,469133223,404616525,520290846,334447584,733920987,609747589,-1,998297439,-1,593518979,474870634,404888363,910535448,790166839,82721053,-1,-1,594219619,482219582,378361499,745461983,833541924,795300442,-1,386291728,-1,656970665,504806954,263852596,58500798,803524853,981800322,445973731,222443660,-1,486205807,148403660,-1,34959125,-1,-1,278379607,903775567,746989866,-1,-1,-1,657941461,728103652,604566093,423966444,482043339,-1,-1,-1,448160419,756840583,97043371,258539153,-1,944084335,440222721,-1,331240273,528245935,608009904,312741732,995246571,301648967,-1,3735556,-1,465910474,-1,-1,865859440,114422995,262393667,-1,-1,724239462,-1,-1,708883371,378961535,466112105,-1,719267734,-1,150700215,300059456,100186703,416848340,588658238,858747960,753125280,131239199,813266776,411377837,-1,468163293,265717903,625793914,96069747,400604506,655543770,-1,278735476,-1,303372665,382130399,728881563,-1,647258710,367950714,-1,649226966,669142352,-1,2972533,893779407,232717913,948915592,31003867,215368567,-1,836952524,-1,236327429,682305772,277844823,996054476,35999242,-1,897987327,908918946,902728593,-1,973853518,-1,856937250,447478708,218746423,574257316,617896171,311712752,447025875,367676820,168846840,-1,636367543,820747935,734663628,46610881,866763674,336831397,-1,37708401,312566621,812530144,970829729,-1,280482048,106462641,526891648,729227621,202406213,956455968,-1,-1,816674459,114215897,-1,729304749,905055773,568625536,498249142,159305287,745256196,-1,637935375,835297541,150667906,645237244,486403325,432350481,-1,202904896,909110955,397062100,583269450,797611841,-1,-1,796392618,524375111,705896508,848129458,425269755,869192774,114121284,529254725,744506840,-1,70151161,113814318,901786391,-1,322856397,-1,160455565,-1,819416979,-1,568789632,746524031,594403590,966759705,35079267,61449452,-1,7726870,280369942,54994250,974816385,106125964,311277109,-1,-1,-1,189673473,-1,372249634,943051645,-1,362743698,132433427,623933225,718209718,549937943,643693928,451319856,544900725,-1,-1,-1,320913267,-1,812808919,223886722,187552157,689086971,-1,286704860,389631682,1415327,593497607,642613752,633108393,382319732,611276460,512896459,-1,805679246,440277232,-1,193487854,54347306,568975094,-1,564944000,274590524,236977163,564238479,-1,15285002,206175514,953257259,-1,178751094,129839835,124760837,-1,148875408,-1,-1,-1,-1,906409011,413524158,878639979,-1,57175847,336722610,918150931,105156524,-1,-1,-1,87195115,80627149,651972182,149802734,-1,-1,288423583,995144905,632082809,-1,-1,273062714,-1,162872662,511429973,205355869,564257026,435100114,701463639,-1,336171055,881888553,196523839,-1,354748467,-1,270988855,-1,551599449,740122560,302164863,256128284,425785667,395527942,170050303,-1,801996702,888173476,49229834,553369214,977362388,339057575,-1,-1,-1,908080853,236934880,-1,450783772,91640133,661365260,-1,299065230,259320045,933585054,366427571,611975001,422934565,423099611,-1,-1,171284309,-1,-1,-1,116805772,135720044,671377693,154158511,249937523,-1,-1,149583870,814532738,54327113,91480020,896707825,38194823,-1,143893880,-1,189543716,900674868,702222005,99892755,387679731,72549714,215999946,884980011,604446737,119898928,187407544,103404110,644609597,-1,678591312,-1,-1,-1,-1,798206131,1735943,674395672,431778398,381957944,727627546,24628928,668673461,571704913,-1,253484439,79407986,-1,-1,-1,-1,718734306,-1,588089628,264012316,979808067,-1,982652843,806218698,-1,-1,848793567,567978337,771505649,53670077,745659595,597190243,-1,323247879,264996868,-1,-1,870005913,-1,454988759,793375979,950271438,-1,592312809,828073822,685398422,573153881,211807775,323292586,425327309,917347980,-1,202101767,968121234,59321246,-1,991196205,493938304,-1,687657679,564874618,875544958,636217556,-1,-1,-1,-1,-1,-1,723045057,996696458,-1,483279180,-1,365585933,-1,94849050,-1,-1,851262129,958877210,388210944,350877190,406394221,-1,480183978,804095938,689407378,-1,192678885,-1,107279652,177014315,168467380,-1,799298606,794657238,-1,-1,-1,926195122,538616207,475679269,-1,58316979,338375699,-1,999227557,368611131,776637408,-1,648511288,943365631,370864533,723714046,845186928,949626016,-1,-1,-1,-1,652884421,-1,-1,-1,730540681,593870855,623605131,579553609,969419224,274289870,479611514,858393866,17560342,44636397,941824398,391232213,-1,985635197,190952176,98938996,247663038,-1,-1,740100395,228574973,437854680,-1,-1,717780322,-1,641193069,691895130,-1,-1,608894159,593444442,553820539,274566852,-1,195878988,439677691,-1,142868875,180808048,340548255,789097517,-1,274405576,12114503,-1,107132789,185624246,569641563,841996248,-1,793609888,-1,-1,736588802,-1,122224719,301868524,-1,587191706,289312054,217252982,662454453,-1,103393592,87155415,642756949,231817986,571010781,-1,125041808,93968634,-1,975964666,800643377,-1,962683068,428551677,722353109,429711254,444613447,508341235,74412425,911447492,612589244,-1,462380711,-1,47604503,-1,271414555,696510489,474937925,-1,29945264,-1,626544625,387353060,967197282,-1,697891229,-1,347024779,-1,51314666,-1,652560599,816414583,401345750,298085772,575570342,-1,-1,-1,117066236,465881251,371874067,699957778,-1,-1,578643574,615374888,830723292,-1,-1,248584435,558121102,-1,-1,-1,-1,461502339,-1,832012413,939304696,-1,368172451,584439884,-1,380589001,684070038,872724556,334809632,138862425,752891161,757057397,244560321,905253338,470529305,232209255,880063349,-1,-1,589855361,-1,-1,498545834,-1,123757856,-1,735563376,79694039,-1,22626278,503773132,602493504,381335006,704393884,-1,717734644,586523876,220001462,457864073,693536303,918008666,-1,463632071,264330918,687919286,90042022,754670124,-1,-1,875715580,763197798,113348796,-1,12599096,-1,505420197,191415866,625694902,706874,-1,449697835,49806391,280470450,-1,449625583,480749462,470407236,968203391,-1,663714764,-1,560271136,864281174,913356268,-1,925316510,-1,410405182,1641700,328540339,-1,892724325,119213534,728607043,586556131,42440369,59057109,676019245,610414981,-1,433575351,732918445,-1,350995221,746452701,-1,66955464,-1,-1,-1,228536181,-1,833947994,691153032,906239093,-1,127425911,479339344,-1,-1,-1,835126527,-1,-1,-1,-1,-1,497477992,470329018,-1,-1,458747980,84764074,-1,828518606,606705338,-1,-1,801087792,-1,670015726,806449038,818316744,536481354,998573673,303183562,800243498,711516261,829862926,98287381,17043054,766236030,159383895,-1,-1,-1,575804681,390331942,-1,49263493,318698508,-1,-1,-1,-1,661397871,-1,703071205,665174375,972524596,105595688,704486331,655571405,950001145,-1,87431918,-1,-1,-1,-1,-1,-1,-1,-1,989400232,-1,-1,366234929,282357596,357594793,-1,-1,-1,150903394,584527678,759440014,-1,-1,-1,-1,-1,347418456,921582220,891118009,-1,-1,305979782,127466568,874918229,991280538,155427095,-1,59029040,642365890,-1,-1,901068833,-1,-1,261270918,200919134,749847278,-1,640308166,979206312,809465443,-1,517390363,-1,-1,661267949,876012905,-1,642412598,555578880,651558857,845375032,595206820,572226115,-1,63247909,942854310,-1,150125989,-1,181555790,-1,5409643,704101738,469207117,533832490,624875164,-1,-1,813365064,483720446,146390966,72837969,-1,794431503,566573084,62146725,525102638,781333557,53210646,562730413,-1,633399852,594616330,-1,652587314,821587973,763689383,-1,-1,-1,-1,927120998,-1,293313476,867879944,-1,589575090,82049690,886006270,-1,460100426,364914662,172664440,-1,469949676,-1,130166102,123692517,391716852,-1,547588442,-1,30346394,-1,909693764,-1,982230019,-1,-1,-1,833571553,394996159,570045565,369902479,567197858,408154475,-1,5988426,781322352,894847563,128543517,821158025,-1,574183938,578445472,581563901,853091473,823845423,-1,592098503,665274072,982875591,-1,-1,979437289,276505050,-1,-1,-1,403574570,-1,-1,-1,-1,462841836,-1,800336067,588748799,962121289,861044595,460306035,669803533,-1,-1,-1,-1,99892827,896236480,593470426,913614502,422277042,910602813,-1,95442206,601290184,303887595,-1,822563900,-1,470397449,196866711,-1,-1,-1,371240712,646987404,33203324,68832805,-1,396703485,36862460,162748805,509954098,362317237,-1,819959791,727699053,578271403,-1,-1,985686150,193922493,824193068,758294390,866272280,344866156,12613117,237109767,218435664,496257828,-1,206154915,-1,424501619,557667011,948330703,23765663,605730269,292498611,163424064,-1,745896078,132900196,213771708,739603204,922127003,854541792,295315315,246488814,-1,829297232,449364665,454213077,-1,-1,937711139,653089008,617636484,889621312,-1,-1,304693572,729420208,952001448,927066266,255224033,816797282,700705529,-1,861805504,300300856,94374638,705960180,846811081,914513863,263442429,506274494,-1,580767335,-1,-1,-1,761157009,-1,103697033,646064655,342562133,956466256,466728175,56563171,-1,-1,-1,503502938,899286365,-1,472132120,169409161,-1,576165155,-1,407141985,796028462,242126117,628553252,588554432,668888134,372125753,808060181,-1,-1,576828236,361533735,604614907,177148173,-1,850170614,419735277,56704362,88530983,401909654,-1,-1,-1,-1,-1,605382740,90265357,413834115,66093272,-1,43649678,423023280,390562761,566995433,183279893,152963883,-1,705281467,930216924,497069949,-1,945421126,-1,943833237,894401923,-1,680441680,62037806,-1,674527194,716921905,374570248,994834174,487494223,437669009,390106472,228227510,854580544,568438785,414894903,765168392,534763772,-1,805246862,818860097,-1,928812593,82649346,502228628,102694813,927611190,850199359,536966700,953489110,49407790,-1,333193819,898735973,615804258,947315714,485129921,-1,683320163,-1,974530105,450184648,800388444,150382749,544229158,-1,106681858,-1,231660454,-1,-1,128622334,90670865,689746866,934228715,-1,-1,95997765,487288810,-1,-1,-1,-1,235278977,594649310,590722492,817451358,-1,709991467,939310609,208605638,-1,-1,-1,247519300,837186714,-1,780170847,-1,231919065,-1,-1,669787577,575380759,66055353,69894928,659238552,676459827,436936683,-1,632057170,294837917,-1,-1,-1,-1,-1,367187817,-1,997225409,489354476,567906584,-1,-1,459625704,496068589,540036159,299995405,-1,349225707,-1,934080782,20781407,482309353,-1,746845826,95883985,-1,910472169,-1,882881860,772109830,315429164,370858315,743629766,230958454,81186230,308568226,634515291,-1,-1,-1,-1,-1,-1,-1,267911569,200045251,403970354,248445774,487206965,421392833,978753528,-1,931921753,276199466,-1,-1,368486635,467717564,-1,-1,571008842,962104394,917169419,2215220,-1,-1,46746992,326233399,347461909,827265159,-1,-1,882661647,328995623,93594638,-1,988579006,-1,924494605,-1,-1,-1,61396166,432829977,607119923,-1,684989075,139474858,-1,-1,52307112,240522978,26582397,851647951,74537954,-1,872065265,144267194,-1,975925847,705921637,346891994,-1,550962181,38587805,871891954,-1,26535681,387720671,-1,248230699,123640425,-1,924540454,867290671,-1,109838898,179669709,515054135,209478076,-1,121561110,188252486,-1,518197892,887988483,761922705,454810075,251152616,73882246,502233880,177462282,-1,35450958,921430160,-1,-1,10996954,32602172,-1,372028239,312089922,196032428,700302009,978430272,-1,252578072,71142491,260314061,-1,829156329,290243651,587739675,83176197,395311030,-1,47875022,282055011,-1,-1,278650545,400367919,-1,385693475,621783441,-1,574586897,395339211,-1,476070196,-1,849731319,-1,845148988,-1,23739219,84968246,-1,-1,-1,113506850,-1,-1,512937002,568688996,932335897,233532878,304582302,637933349,954435834,-1,-1,28328972,881777390,802330300,113327822,60296866,-1,-1,428017138,747420101,634140923,-1,935265133,469775911,195988705,-1,818130303,-1,552425878,231296551,-1,332623627,-1,625786762,717484456,-1,792062667,-1,381611391,-1,464236545,260294437,27319769,-1,755119482,-1,95262393,596942672,-1,719675641,954610239,-1,670255576,631429153,-1,870218494,-1,-1,106894456,9015455,-1,756493867,11198828,949168355,9699661,232516717,919962824,986173636,884864312,-1,-1,485791879,394146603,-1,534843085,-1,813958917,192236297,609072478,-1,927016535,152261114,-1,-1,53021992,-1,871324371,-1,63182702,982661168,-1,986479086,296827500,-1,308805677,-1,191800468,-1,-1,992536080,631613893,379755039,480499655,299154956,-1,549076683,55549439,-1,903627255,-1,59189390,757780541,-1,452026138,843273967,627032167,-1,511953783,354809946,735301620,417827639,-1,999621291,250123099,646596802,879912726,-1,-1,944616925,477761656,688283510,593461755,491775119,266762090,-1,488888501,573149829,305901100,833396191,336787879,-1,298535624,-1,22433139,-1,56872786,200807653,-1,981429712,440195464,-1,-1,425268066,717532456,532747570,-1,404830042,429566590,663607677,45525814,985103919,239729429,-1,544671380,855329278,-1,240809238,710489446,313040053,-1,-1,16281221,181139091,-1,621728091,967841487,-1,714846746,606464752,201199025,371944725,642930326,918944975,916664842,818744439,604996858,616092145,815443729,-1,-1,274845337,40474433,130632416,150955047,-1,-1,586851812,415860018,654085891,650170875,-1,761380530,120905396,-1,226116127,-1,998993547,271403069,984407396,829575961,-1,771768526,920981388,425796561,597807879,78816033,853200080,287244875,577848154,-1,467805777,-1,-1,607768415,269740166,722673958,242170686,605521711,649202967,85566581,166731111,766839681,507828737,740689193,499633978,989145915,2563786,-1,472135028,18017972,936310281,809311223,666202680,-1,-1,-1,935538048,707776922,-1,379274253,-1,532079547,-1,497350581,-1,645357033,187309339,-1,698656498,136589459,-1,-1,-1,19192111,-1,574475053,82251264,948836982,-1,-1,955670329,25420356,-1,89307869,713022468,-1,-1,-1,335709701,596734217,-1,-1,-1,-1,132015143,-1,232722197,951393019,-1,-1,94434671,-1,432867437,720321817,-1,579675639,304450748,-1,828616934,495109237,4656201,373340450,251801787,502169677,257791893,313044540,-1,-1,586428076,173642279,-1,742596239,561690363,961505148,411238890,472715945,-1,811197004,539838848,262585647,76300810,-1,333262402,-1,-1,443477609,597482553,-1,-1,-1,346878758,-1,-1,340177929,924245090,768973619,-1,-1,52300086,27465300,26888994,116211624,-1,947501367,453806465,382994366,834264626,-1,206856022,40769922,60373899,277346988,-1,701223257,-1,886376855,475478017,602256834,214727724,501718629,820742667,138447698,330888981,725993577,58129909,13958708,160186888,523261888,668372638,43495533,760126992,44662012,691154094,-1,938134691,-1,29959545,684315486,617817687,598087598,463824366,-1,651066087,-1,484998463,998486422,-1,-1,225663689,-1,-1,961530399,-1,532890290,177522987,992281871,328683366,260569431,333471093,551392851,381824201,-1,-1,-1,-1,548785819,194452841,636934379,491749239,235558102,704074548,463999170,859020041,-1,83364611,540333991,-1,927725576,409817074,966343846,-1,148814416,403670406,807106557,238228565,193083671,524777841,-1,-1,339377404,-1,880116110,-1,664856845,-1,-1,997465740,-1,622830897,-1,289995545,577075897,407307285,663228159,415059894,-1,463997863,-1,-1,89577109,725802396,909305629,567882588,663792816,227369062,68731602,186610881,389456355,-1,242129107,-1,-1,984538533,73269873,340214852,554327527,-1,339383486,-1,910460105,635728469,52049657,211846437,-1,823969224,307001125,986691927,210063445,503709028,233597122,477465769,518779412,763698560,318746610,241793453,-1,52096958,198671300,37752511,-1,-1,-1,981370817,193612162,-1,537286604,312843334,-1,347092063,919705290,547688325,-1,-1,816771445,43007067,979356992,-1,-1,403452479,995590909,871449339,952834400,653142122,121079547,934762871,809858366,-1,44701846,-1,816913680,831978075,-1,-1,55971751,833714709,725249373,752974406,326022409,388912355,393176404,888911309,58347150,115429874,309686260,-1,286973473,-1,598046480,165554392,950828700,948550905,740566058,839611170,467125150,890686530,330682612,703661214,747154630,682777763,588488522,-1,-1,-1,-1,247156585,-1,301556846,459966682,919075064,500004978,807017792,-1,902702757,237334494,464732383,124731411,748663211,-1,-1,631068266,-1,532495346,155711068,-1,-1,-1,-1,68051174,-1,876976008,257226935,130301221,19128138,-1,-1,820631920,765564458,-1,615584776,746090658,-1,-1,566797865,-1,-1,-1,996212490,653613334,173011504,-1,204476837,656765166,891794703,71002724,724796666,79862740,282202528,369227670,852731871,79881840,271588470,749638684,-1,329478798,712925980,-1,-1,958368277,816589957,-1,-1,512455090,-1,-1,499017520,-1,874961353,-1,901201439,-1,-1,-1,-1,258120279,604558575,901948449,955009937,467522042,-1,584208971,128154463,694811044,759269204,620727834,477373828,-1,918910626,208077663,530842918,-1,58528954,501103172,-1,487551639,631096842,359909459,684486256,803575937,-1,-1,-1,145181690,-1,487426088,-1,164630331,-1,814536573,-1,-1,27918198,427073533,-1,517350856,913734271,-1,692855332,186062624,202723937,995226230,608432567,-1,292601042,833010403,979773718,565181151,88156077,842743903,855776159,611170862,744828160,674158442,360929039,807675561,568418318,927340944,-1,327012875,609664842,754309738,186852413,99197193,674855566,465248352,575670878,676963663,245242616,-1,322574719,460837670,258472331,220766760,-1,774913385,393255198,95358554,383807031,-1,286018028,784919843,83428765,-1,55264166,754609055,838176707,881903639,-1,467161559,696399733,754593818,192409719,431262139,76657003,234761229,557371365,57956160,654295433,960173614,-1,-1,762516775,-1,599852853,226775248,-1,25462090,-1,97329882,361566443,51533969,-1,597419499,-1,459171912,781681722,372539414,375207571,817409539,457637207,-1,485213152,-1,298770705,-1,-1,539570179,95479451,814024621,63342624,-1,-1,751427792,901558866,702573310,-1,-1,-1,795204272,817411650,769412701,694223312,900503997,250713772,527472590,274065877,742646721,617467723,-1,-1,75597755,526462898,982353204,13249156,896076386,-1,-1,-1,405780919,77688258,-1,861050471,674859238,-1,508790547,642107244,777781620,71340640,-1,134574799,540606510,343143476,820766921,757882433,-1,323511569,271276591,-1,-1,627184552,844436152,-1,-1,732659341,-1,975174310,867917689,219552020,-1,-1,215454373,416213006,-1,785881168,336209396,-1,774034175,-1,36045264,276180958,334729844,503969219,304432095,607749735,147785588,989967466,365334148,-1,-1,-1,795130573,12881199,761779591,685972361,291845102,891129467,746607201,938903533,-1,559678539,252688188,93369414,101409231,609759865,658146179,700200613,932667032,-1,-1,320719984,972721151,301412420,-1,118341936,944540991,864573540,730550756,98737692,695473140,887464533,4822917,833748051,-1,892108046,-1,896207869,448076748,774146534,193741966,880607548,754435479,678530505,-1,543146777,-1,-1,426966614,690132554,62480137,-1,845783864,369273268,204085414,822500451,50028991,485093724,715092438,-1,438092025,84417074,157109661,-1,-1,994238449,-1,500623807,231421843,545144045,673865829,-1,-1,104157515,-1,-1,772019999,179452137,-1,-1,185379985,843484189,911593676,248211523,-1,342474199,-1,522396265,821716244,255713996,964889036,853177410,471061812,212753779,528908688,981015135,338800765,610659282,-1,277425386,226466701,581564849,436113135,329399279,981314331,90406058,-1,454938983,-1,474265771,785359854,611527245,690273975,425423596,-1,32653042,104441274,599174738,693352747,121187420,-1,925172921,-1,931943044,546076076,595372503,812446451,580873514,736777041,945634254,300986966,158561935,814252723,-1,447846840,879011821,-1,-1,310456227,217174701,133111254,122755991,563210904,-1,-1,922725265,557952032,525234545,690612567,816192792,660586865,270677488,928799467,-1,271065871,-1,434058806,653453728,-1,-1,445538336,-1,-1,797875543,43273790,84983474,352409318,246008851,471772499,317961834,917788926,433131151,692867164,-1,-1,925095538,383286297,-1,41246989,480212340,-1,586960199,193373167,878438615,751024369,164777623,65163984,417988498,286350567,140455169,435858968,-1,-1,783532460,198995440,591253441,394112200,487557484,-1,-1,20575640,-1,18658813,713562148,211028371,-1,975372424,668620177,682219247,466073729,571712524,571605868,-1,-1,-1,-1,-1,701479219,-1,242541867,-1,-1,-1,-1,735555982,544692190,167375976,-1,90513411,808467281,799217618,665073694,-1,423938528,500508573,448430966,613314321,-1,495515960,-1,959266805,136181877,842337933,505879491,504295133,460481329,186711263,-1,849308830,358439159,669142167,-1,-1,-1,-1,577530933,480877266,196843668,532417875,316051023,203900444,355733722,-1,248309333,843175723,286804288,827792410,560241175,959719894,-1,-1,843431138,266624156,-1,783365060,-1,399513905,371363444,855574500,539255889,531633166,-1,254981475,440482307,147522923,606310441,533175704,667592144,787147897,131477585,186456772,571077683,-1,363512971,332409072,682313288,526132839,577868114,651372776,-1,432223441,412108048,-1,-1,91589738,-1,-1,159840774,423321599,845596855,-1,682961763,632652741,224964080,363923919,-1,-1,984571952,975038723,-1,-1,704202396,-1,468385418,-1,200611776,222373230,874916057,-1,613273495,678494162,852322355,232925544,-1,473242367,653267755,51425753,749129278,409849580,561781938,568955872,-1,921534483,-1,963017237,820800269,864662112,197589235,287317199,966881139,644405375,-1,906958882,359722614,147720086,489616050,680697325,235881331,-1,821821463,-1,-1,109758475,-1,-1,422685031,-1,550151461,-1,296165039,307998788,-1,670399712,66980253,95457730,474427808,-1,23012520,-1,523119963,757495320,721207772,699699127,294816667,195620394,-1,588985924,372367248,599199735,-1,254637783,284685024,-1,98463368,717335478,676491766,228629318,818387663,-1,-1,272166045,279363633,798189849,-1,-1,155093229,883868748,891510099,893069994,30338093,31329577,728674602,223469788,888639106,653355838,60740379,-1,890618905,-1,351297187,641384671,472530726,318420181,-1,613370024,725593466,73444979,132312319,582075619,-1,-1,375001460,368912728,368137436,345702619,496137163,405047235,964123688,654882632,821416571,-1,605679069,-1,412462528,97629661,821716800,891794798,663954818,-1,451384432,628459512,1753700,815934540,-1,-1,311480038,-1,-1,-1,-1,441319688,254452083,765018830,313542131,131319814,872599203,990031638,227959939,149445934,648529177,-1,653976500,744822788,451983404,-1,442783951,759996221,508439539,121420003,722161868,-1,924272346,957236061,-1,-1,327858175,-1,762772396,29612297,638620754,-1,211074415,468139428,382060062,-1,220071356,650459976,961360162,36640335,600576706,982588268,-1,889371288,908258649,696109620,-1,434142779,-1,185563777,598547827,233243906,273544267,815532429,-1,514253185,500650335,240762323,575336226,-1,133319612,189015396,-1,587064872,771815443,-1,325747574,796399729,559176666,248504139,592791345,799126719,311394174,-1,660544192,97885298,597022477,-1,-1,167852319,8414763,-1,593491009,728923767,980204106,748414427,139243552,40158932,953722161,744465227,311313357,684697504,412602056,480393468,-1,406911705,-1,529068884,-1,-1,429705240,-1,-1,-1,-1,211914122,207010765,703253135,-1,-1,443319967,831871931,346732833,-1,-1,-1,-1,-1,51883736,476881072,-1,689389420,293515149,961522910,-1,-1,693651261,-1,502961862,254802531,172409234,-1,388108290,16542820,482323071,340689469,955504387,878578320,967907114,-1,-1,-1,-1,-1,307645066,-1,-1,41617839,434483074,653611389,-1,602856044,60583909,964724522,330634969,497161391,-1,689080230,481039449,379032371,-1,273904372,-1,683710235,594967260,611206687,-1,-1,215159561,-1,-1,662779762,-1,60361478,177205236,911163565,-1,46832625,-1,420167522,985272086,705911361,-1,312423914,254194228,930092767,-1,110720856,-1,762381173,774099910,145924084,-1,213631430,-1,217561449,882744530,613376571,-1,986652562,181295945,552134992,818965937,236510455,-1,684692556,657411223,-1,394953682,65158692,962906000,-1,296837824,684130929,884132086,384456471,92798819,497140440,281019183,798932873,161432913,-1,857567677,-1,577537306,349981847,103983582,932584611,309888318,636336738,185328622,-1,-1,744694332,346488003,268810957,-1,-1,269009029,393931091,21970258,103738397,275024069,-1,-1,371200259,-1,13850856,-1,-1,84800977,753777510,34362342,349548050,34873531,868091760,999898173,-1,206343059,-1,853526259,-1,-1,556072875,959391255,764965101,-1,685132365,745720385,-1,-1,383035469,615587314,-1,-1,991072076,365031944,287222116,-1,-1,681519318,418350511,696384826,-1,786388863,-1,211891883,140714277,545248413,-1,352816636,883692738,242475514,392947611,-1,337814962,-1,28566780,819619448,365963743,-1,669512243,-1,643382115,-1,213622201,-1,47000274,-1,-1,-1,507950352,934811968,-1,-1,56733188,-1,496899593,-1,-1,799391809,421365920,210312909,706796858,948087478,478453603,49701033,211059771,87623836,-1,-1,295562456,136548547,-1,798905379,780389262,302251311,992324006,706330163,221177224,-1,646388165,-1,648522755,135341637,-1,415430017,288229737,-1,-1,439246459,617602052,393527729,250929494,-1,989502920,223487196,988025746,872121342,124393952,465758276,-1,885172831,716087970,730884705,212661659,766230854,244984106,-1,-1,254003218,-1,-1,600474308,940277842,140884132,57067342,677931274,118238327,505547332,335021764,10594516,647889810,960412209,359475401,993248904,799900640,74034560,-1,605888516,-1,854642838,-1,945905909,-1,378761357,-1,-1,-1,677507652,611767229,680598944,548589466,120680156,775951748,249678316,-1,936107088,146222556,411788889,516470851,-1,270828405,447093415,102043257,299651478,521256680,233691059,-1,841304036,318530658,-1,524623514,-1,-1,433979294,-1,424019853,830188173,681762746,218065847,-1,480106694,13661486,-1,306785290,745794822,592868950,657098521,844696759,174696920,780694796,243634620,-1,705455440,963785250,865440792,-1,465414700,85057654,-1,139595378,-1,80999309,-1,910489344,242810377,592796135,-1,-1,623368039,430477855,746754006,-1,683236226,-1,-1,699134342,-1,970416750,832117934,338156569,-1,-1,503730768,-1,553709241,379131959,-1,-1,319281733,570807871,-1,244443207,-1,301282434,609983654,892214895,397810809,678844396,-1,907217154,483206412,519166285,624076307,-1,952976315,717906171,280467957,155916292,932758232,-1,-1,-1,259676423,979633894,-1,-1,567101705,446726117,-1,200518621,-1,-1,170098875,759018174,32819082,949651116,779730462,965311589,364627833,994956135,775583895,-1,-1,915507133,316090157,519537345,753713302,-1,-1,-1,306236662,-1,240778803,734305855,99680856,-1,922217309,659982643,-1,337571277,782534943,-1,393379844,49963742,-1,-1,412191672,-1,75696288,370836851,408381401,761799453,898647408,819023289,-1,945033161,582558994,378834193,643552552,566195597,387111391,967737354,681429594,-1,275515681,-1,803189554,203494955,-1,-1,-1,761032176,-1,-1,123656446,-1,802004854,8015090,617284768,-1,293717715,333614498,-1,-1,-1,-1,857033846,211865779,847645016,930422016,-1,141551637,337075546,951327699,987249434,-1,-1,377773158,-1,852609868,-1,-1,678831663,-1,64547840,892467140,233765089,-1,998700654,-1,901500733,24537153,-1,448568564,781009420,-1,-1,596067429,345833917,-1,-1,890920011,-1,619716136,306518669,504959970,-1,926885876,365696747,838488995,-1,122277137,441022206,771294256,414426600,454709953,537359481,-1,155973595,-1,553455784,113656667,334671442,570258402,-1,-1,-1,-1,621325461,-1,997010257,421008811,601468741,287516535,-1,-1,922149025,924128212,74494896,801059113,27669120,681018618,425564070,484714368,-1,-1,422871254,998544157,-1,-1,959043664,-1,34884708,474983956,-1,873687737,-1,268371250,718851688,-1,149376053,661757568,-1,-1,-1,-1,951077973,238233010,-1,-1,671409961,684993092,-1,-1,283438344,-1,427243429,240143647,483136101,58220038,901864791,-1,700845442,507653911,42710879,-1,589254927,-1,512968183,476528407,557957451,-1,632601587,511737869,321732777,-1,582900026,568076285,810611433,253766585,724396970,664060668,648193088,-1,-1,692049891,41438314,787871398,39712938,-1,211064515,91400485,154106491,346011593,-1,740916377,436467430,951265810,280973666,-1,-1,870074304,-1,-1,628944140,588201806,931806546,924187459,-1,219608537,327231116,-1,634027371,698107370,-1,-1,845886367,375934257,358255646,827446091,145652257,561015132,141858036,-1,621981143,885301583,191185708,-1,866325795,120665672,198608466,253172286,965565378,-1,577995678,92273684,410069428,87284874,-1,-1,518365221,-1,346843666,342739494,340008935,-1,731459295,-1,-1,-1,581621301,456830954,-1,508481386,559277096,-1,217824997,29977078,664462153,495789980,-1,574337639,588981550,350866292,293780389,-1,-1,485708061,-1,921988269,222043343,399120395,77168758,155670902,77199488,285692942,774898869,972746522,850368853,197676537,70139327,488415442,-1,89975499,926716953,550316216,-1,980040304,222868705,-1,335523741,135910383,718967280,146028779,643742839,-1,269451610,274859556,584325665,398821145,-1,432383022,166023641,704421209,-1,45282979,-1,-1,733004788,815531508,280121386,-1,-1,-1,-1,-1,-1,903777698,801380758,-1,899996669,-1,-1,418273179,-1,-1,767376667,499755744,447679081,427006121,-1,653477727,-1,919175046,-1,362018681,750048621,696280704,408386213,255309016,148557900,286118278,83733503,60675069,313997357,-1,-1,142989357,135656123,-1,195408749,75436765,803307367,494425714,163507895,111223062,329430732,708114501,797924803,-1,164449225,249552815,831715477,754281168,661268417,79104713,173541221,629397403,-1,575881746,580941300,77818515,-1,237119604,390653728,462356581,36779909,82327906,-1,213883058,577019401,963252635,-1,114226342,157576897,321697058,-1,319432785,-1,893814027,365181821,782551607,671908162,584365314,170737615,856359864,903586956,966679057,-1,-1,-1,-1,632090287,813939109,641951089,159542157,98163228,368907269,701938579,-1,164638238,-1,910501113,-1,162168570,543041718,34872013,-1,404284555,567181873,585697463,459827999,451610080,-1,433622630,-1,931451324,-1,-1,210858224,-1,975200029,672135753,941712211,-1,49007467,559967856,-1,910206259,869742508,-1,157618476,739370035,876366406,274323944,123992444,585159141,711468054,203418311,-1,-1,-1,142229750,-1,287742500,-1,-1,210026860,583919917,-1,-1,-1,959433114,724512108,-1,371605738,-1,-1,-1,-1,-1,318748749,905522068,916757359,-1,493815692,762120464,328344958,166587929,353034100,773294894,538379057,9420059,20140872,142888972,-1,400947582,197059265,-1,175952523,141544904,-1,-1,414138122,528729207,535325264,966374881,142513204,-1,147231467,631784159,-1,950104820,506906650,211837965,572478327,357969956,-1,-1,389568718,-1,776634385,699718546,688888509,951814255,507216941,289215560,885632083,484757387,699753238,52795553,105075123,773073081,568898770,-1,211943100,61572847,-1,-1,-1,131786405,249280877,-1,860790446,-1,-1,164219294,-1,928286288,713329125,437060927,999641055,787366080,523708932,762220865,25539997,468083594,305547345,-1,820130781,650072758,158125059,-1,-1,-1,-1,-1,577754632,267745055,714072621,807442523,745176277,991382070,-1,829334500,743852413,173594033,905619037,836165047,343034825,249663605,175766084,564713575,963286842,220282109,-1,-1,260742017,175599893,739692786,811894926,577024559,-1,-1,192082546,-1,-1,752783039,724765732,955277772,-1,565205280,163731029,29005110,-1,208911027,77088081,417002252,-1,-1,100215105,91220582,-1,501759661,404381103,-1,45397031,-1,738230623,901394626,981393214,996652987,333228797,-1,-1,737358059,890631004,-1,620660002,968440824,-1,785301994,-1,-1,-1,731431128,-1,977287994,-1,-1,-1,-1,43883020,767579254,152335636,-1,-1,685982481,-1,932414920,393424975,10514699,-1,271065878,197826456,406013072,983436745,561410312,77347530,665495895,-1,-1,-1,265179216,867359928,-1,-1,-1,285399904,-1,7728376,-1,176034815,809751120,-1,14429810,489257728,-1,-1,557347541,87714151,-1,609948356,881408517,729475867,-1,632548328,301197789,548922752,455529506,-1,174984843,966405863,841299273,62819186,675854320,-1,141149679,150756710,568875871,-1,732169112,-1,-1,-1,660098049,347438824,540997803,167424519,282874996,417435100,327618001,243147904,937131006,-1,-1,974096874,371644090,682682174,-1,-1,-1,-1,-1,982662142,680594372,511625357,427780071,132770564,506587609,108247966,770700416,536196089,-1,436825778,-1,452903579,773695810,-1,-1,443005611,190827976,278873426,290394510,534712290,-1,-1,319019470,-1,-1,423407169,-1,-1,78641541,946433521,-1,-1,-1,-1,52269103,-1,-1,13669769,-1,-1,-1,-1,-1,980401316,-1,964973869,611585170,737411842,-1,486601448,-1,391668542,-1,262506245,-1,641362404,-1,808615152,922183356,598039985,145433177,467434617,637137362,44428111,296689518,307479659,823059420,808574874,761787145,-1,618289252,57070574,-1,58538753,-1,263750614,-1,879135142,-1,544403803,347492210,442769743,103583251,566512458,725758352,371266447,-1,258004126,505791874,-1,-1,749315524,647624560,-1,-1,246849251,-1,221428447,97965059,657982592,117170740,-1,-1,-1,499823114,584880998,61262554,298305355,847847777,703548552,285166559,15312377,863527196,779752208,570887415,-1,943823467,-1,881230216,549165492,750706048,792006041,899279499,939265443,-1,-1,119038203,171958524,567095797,921315735,203938893,284912058,494051953,534367982,289380934,297763301,-1,28252260,103841121,-1,920171902,-1,8441522,793345805,798234750,976323132,338653813,618098607,26074559,-1,83369852,-1,677949109,-1,585107325,-1,-1,320810663,778618466,712666996,377923140,-1,876472348,321778623,905198788,858999864,753721769,588055293,304744072,795336663,-1,301914828,673458729,9408145,608700611,102235825,162473025,33896362,664871837,778118470,550255438,-1,852534625,-1,-1,-1,247383175,476090815,-1,-1,194400157,394471006,294164732,344062260,360129750,-1,866272441,543274783,888492727,426889703,-1,524035552,-1,-1,866246586,469298886,964157144,125756923,484239034,257191547,789293890,-1,771718006,519420342,947849967,-1,261162068,61301962,841212363,475656006,307719185,264059978,-1,400558950,582724525,595339609,844880653,-1,708743849,-1,376497639,-1,942139555,640018308,235171928,-1,569388241,299819030,604738863,31808740,-1,173533711,866122431,340318625,-1,-1,200176959,43897363,-1,616209974,85533442,230866921,648314637,930574266,830449946,-1,-1,977871702,109550217,461528439,263019583,936191940,475087591,733084490,802359748,13710621,314917980,790164818,-1,369698295,277320220,981578825,163934074,418740246,728802634,249884009,351498902,992343751,-1,480765972,59276161,434857790,828603232,778353197,410855686,87997901,669391082,634837834,738377293,-1,842968460,206890993,617378873,-1,-1,563035607,-1,338569816,406558471,215976301,372199264,492852468,738183516,883662980,968808262,-1,-1,-1,857843786,-1,-1,-1,-1,25600335,-1,-1,-1,526280269,926491087,421873655,974115707,648592284,483658257,764378786,784053139,118064194,132611858,400786209,818208606,660871172,273737552,1455744,818627861,131284459,781376520,-1,745404898,-1,121824918,499241914,436808108,-1,902438635,416061265,76128554,44339872,931950806,570049162,-1,-1,-1,12605068,941441546,199174144,819164537,396841948,-1,-1,78330933,685162530,914512837,539949137,-1,-1,344210832,-1,25087191,883847036,391708625,566666408,394826730,495044840,423024503,766953171,-1,-1,971560257,-1,308958993,673877486,-1,130543705,354573923,189734846,-1,519709821,231479547,156495606,22499125,134992833,-1,-1,857778549,440825238,274192234,914675440,696932133,442805991,206557155,146270283,-1,766514549,587379401,577169768,54036364,736774262,728642788,514664060,536711169,-1,814909996,129018719,-1,517509684,946615772,-1,58426735,312275733,-1,90734541,777966098,681852114,-1,440926129,-1,419320146,-1,-1,692170883,-1,825504152,-1,687047383,-1,-1,-1,-1,-1,776566680,965861414,635941773,-1,365170440,434065270,234521018,865431410,43235093,835442092,969874988,108106536,-1,143616557,597729614,690993758,810141075,-1,-1,845889907,405610911,-1,-1,228083797,-1,217289252,284649024,290779434,-1,-1,496789138,611198688,840523204,250467525,177532544,-1,313529869,-1,637272103,839458134,108571511,-1,980862337,32354005,903472372,181039718,-1,108358944,502309965,678537338,34682484,794299699,855329834,677337948,854153882,-1,-1,1763869,809068502,-1,182523045,-1,850926517,-1,986988950,57654405,253319770,40040243,-1,541433904,437991583,-1,33996907,431793224,119224754,260331435,476414448,-1,-1,444583974,-1,78073571,29874057,827300414,-1,865957666,306143905,691765468,367510760,667830800,587056785,-1,861577339,165525741,344486332,-1,58982644,872883564,247133616,224935787,699804979,-1,686855523,167076993,-1,450568651,672801718,121959071,-1,26194709,-1,546523055,106474740,886801510,-1,813325781,-1,865356714,773618292,782254651,-1,487062568,-1,-1,501664816,699165799,56074837,-1,452176872,-1,985448756,618015885,-1,-1,-1,996900094,101043072,-1,-1,-1,902372875,921298925,996024437,15740390,179862420,-1,-1,581162049,583268008,-1,-1,-1,-1,-1,-1,432891732,-1,221581480,-1,672488948,962740273,820708274,609376181,282682577,-1,566592124,242376894,805152782,555619512,-1,-1,-1,835415913,865980458,-1,388663142,263344393,-1,468861577,376662037,758432900,-1,77790372,260727272,-1,-1,-1,-1,770729407,704220577,985441022,636553796,666434773,891843735,648640930,-1,392542208,181319074,877668166,876173195,805431470,113377239,341682596,-1,478298160,404757278,-1,93397784,487827775,680450707,716226514,192626763,-1,46017648,734692557,-1,972742521,337850147,11447857,-1,926052953,-1,905643246,503074153,982525197,-1,242823734,931535991,70361423,396886014,165480081,46856828,867139862,589891174,-1,160200769,498104124,798949204,222089935,600505510,-1,672848657,923092890,486732223,836358434,540863997,365564046,377849114,115350468,356635820,-1,435901672,225988934,438649500,585141061,691493819,2478851,942451883,64841150,-1,96921171,297991240,-1,-1,382156087,-1,-1,209258447,339396899,535469108,135065250,376998382,-1,-1,-1,925068506,-1,984152120,12019170,351214479,234071917,-1,-1,530503673,682801955,155461332,-1,-1,405019718,300419858,209381031,438970424,-1,592925853,-1,666698738,560637994,-1,-1,7151708,996164106,525801810,848663055,-1,973448236,121911765,-1,-1,105915758,352428331,563788710,803273204,-1,207070327,39622232,91928878,-1,318717073,77907445,464205119,56908672,203086024,569945115,136400093,620032257,-1,96868271,671825138,11622324,165519905,824933362,-1,-1,-1,-1,-1,48559350,95351384,-1,381914580,-1,-1,376294957,210916398,793832378,467844793,-1,476473834,426101488,630387325,517715865,-1,61064637,781605963,750536980,334224687,529408537,159359226,859407497,788131209,-1,551314374,420717236,376525930,180672891,128442042,65302310,151774940,349994966,-1,571709475,-1,184783583,872556681,657036067,-1,243079185,901185805,-1,521351880,905374142,3561274,347673487,765250227,419110462,-1,747790596,927118530,-1,-1,-1,815199827,503521699,467395181,245568293,102987577,-1,154654941,-1,-1,325398627,615949457,969017871,-1,219746968,830403131,-1,692917268,182823698,176325567,-1,56648070,755327162,802921912,586549400,544675048,24019044,989449921,-1,526627444,619764778,282483748,387569471,54194230,559110905,-1,454862427,-1,-1,448404869,81352635,-1,496516499,159748507,143543610,155453232,812193605,699957030,-1,361360728,-1,382202656,459643074,-1,542866365,433742580,604332163,-1,956955619,461556476,858205037,94380004,531918855,-1,-1,767146874,591830960,-1,334359546,-1,896174986,-1,417836974,-1,-1,-1,-1,475464139,132038753,433016705,662797019,138212744,557920624,-1,231196246,496012705,46548222,703846213,827277812,577026968,984750157,653438495,759971932,969407936,919899327,-1,-1,666455131,-1,442801900,449425129,325108937,871346742,388629171,571083544,54175567,739827366,414692459,-1,524965990,-1,-1,948985085,365720111,473416258,820097423,-1,766437504,872327979,552932104,388798339,-1,45744533,964647442,-1,-1,642716638,-1,84503574,-1,661521530,-1,-1,359601898,401368095,-1,213191468,761755282,938370140,71282118,696724307,526179534,-1,104832870,-1,951649882,-1,865449633,-1,129563797,257759242,228781108,447843292,847150317,-1,266901296,815253512,837352958,845673578,161429541,951848216,-1,733134317,930474390,431241160,-1,697472952,632403070,751718229,672605234,-1,137423243,415576263,803679145,-1,998086182,70323147,-1,285396457,881113874,969942413,-1,-1,672483512,831582341,52945243,327660716,959828557,86546816,663311401,-1,757416165,-1,882557363,-1,-1,-1,470482039,-1,561548735,84193270,661314221,327753813,-1,686861145,19525750,898794642,817171446,790746620,396892014,-1,239186578,580437786,53622840,59877025,701044336,883372623,996255829,330789478,360549775,706012765,253137486,154089006,35265467,536920064,54083490,749587585,-1,962769393,-1,-1,995903922,119986171,701695445,644092064,79200617,597193154,168982338,-1,517313461,945715972,812319170,-1,-1,-1,844789638,162664751,515526630,337098166,-1,-1,-1,743565920,973018140,765672861,-1,409344113,617087025,-1,309047559,164460706,-1,-1,484795588,445373207,681234329,-1,284767032,702197182,848867440,209194245,215105946,670526946,-1,195596942,9840245,893830549,191057850,756013066,620781738,444076227,194220894,-1,-1,498581848,-1,-1,-1,-1,346407198,161979838,731058199,850576525,202568115,-1,-1,-1,360783766,143582545,-1,891092230,31827220,-1,-1,651009998,196198379,607304585,777343425,48582667,95071868,529321741,-1,-1,-1,639547755,601297991,150881166,978227606,860219225,-1,976907342,825015805,687013483,555488311,576542237,368328657,647656979,306870063,-1,776181155,-1,430179512,357851288,568503562,188009177,189617381,-1,612089714,551759802,402932202,592788570,839017521,27830564,-1,682303477,144806903,-1,-1,638199778,-1,563324645,-1,977037398,912979139,224684934,652430924,179458374,43880575,102719411,493753056,543339546,-1,125451855,816960473,970600903,843583783,808812057,945515235,348393240,9048511,928294625,383893348,10917371,461058350,607008073,222040517,598750963,451890446,949186715,221836028,478773282,-1,494231207,771718466,-1,-1,64376919,305278967,222088311,-1,-1,167324692,407610990,-1,-1,253431333,960566486,-1,467036327,-1,902776839,-1,470634251,-1,565194734,959280117,-1,666365026,417180747,362320647,587575767,-1,437626005,-1,518903010,997096520,169470567,-1,-1,588458244,-1,874589641,272961537,235257126,162143718,636610888,-1,196210802,-1,957476736,-1,174100522,64829112,986376210,-1,53889366,840017247,366514600,-1,-1,955912177,823118006,789019888,957876433,507021767,640766758,873339647,45132990,857692008,334095516,136376358,268240009,-1,502245906,702833961,244129926,-1,361930623,774919713,147992805,61908204,-1,-1,-1,-1,543315354,369450268,-1,51675546,46255273,322298365,22495648,664822031,636620728,-1,216954437,-1,-1,114746068,385987127,589360681,-1,850342766,47262501,240662546,488164110,549381422,7567737,103550579,906512250,911594989,-1,719325536,133963280,-1,455456886,81449213,79015303,969518101,94539003,408100581,108742789,602618398,-1,569860796,376536521,427195489,-1,233230415,445382098,308576182,202116173,812622565,447109612,969159630,-1,498803052,-1,615753477,-1,378068050,164999695,832897629,-1,-1,-1,616059953,248409638,139537349,446624154,459297181,334783858,-1,768684704,927460872,-1,471656238,-1,147538137,874348419,922371259,-1,122058121,890517078,818988777,-1,628740165,771686971,203736942,707496214,461408453,51308432,-1,154133311,445352962,108357150,-1,343750086,65879080,329186035,634520382,742867745,869261876,-1,513164494,444214791,925969920,-1,333230396,869694743,-1,830579225,596973090,472174081,941039266,531965291,-1,-1,-1,817157310,-1,-1,797314135,-1,985294722,741235773,514808974,-1,399362809,-1,444825116,-1,519710310,10439026,982573108,547225029,388649911,35628356,737169935,392537239,-1,158053872,475209149,550580755,326344920,950779969,-1,797224685,999758936,-1,287571079,-1,698084512,803304145,415337696,264469689,721171143,-1,-1,927493593,-1,467160038,806786427,186596139,-1,177924879,638501146,641363715,-1,879824404,362060103,245641883,996056442,989565553,887872923,-1,262844604,383237961,973411927,364127366,494180335,895493686,258271414,358900104,-1,19751637,-1,548771349,656641465,-1,292723101,85318292,915465015,920200919,625402328,-1,-1,-1,-1,357491074,918769567,390397470,21488541,508031876,-1,861136394,693855894,122220136,248747935,196238826,-1,500300840,904641240,-1,-1,-1,650439348,614154918,-1,-1,-1,480005460,-1,-1,123432696,222783988,343286857,119310212,-1,764323941,-1,75972640,616829110,512663764,-1,-1,76614951,-1,-1,-1,217203101,199995533,318051385,150415983,-1,672599303,-1,771938192,86635725,-1,-1,-1,-1,178176403,-1,406264360,903341873,588178528,221020758,26677694,-1,475460272,904391717,202325530,758422366,93062718,743572251,-1,454851120,198935876,284331182,-1,65053509,393531233,812372835,120135830,349444747,-1,527088261,145104785,841854222,949650624,755284453,155566957,-1,-1,633496359,-1,-1,34288799,-1,-1,-1,767535845,-1,597004768,946533204,-1,840594101,-1,-1,810202630,234780637,591678813,362680582,835667403,901451968,796091241,507197028,375237837,-1,933877014,-1,478107958,323782547,948347325,425234919,759404007,-1,21391318,170404803,-1,988113119,434812074,272245668,509679727,472422821,620792326,894408210,-1,380674443,430208051,-1,837566720,228437094,836854461,78568608,256657781,702582855,212305792,858827429,910776108,-1,185803793,709838429,383808265,565121545,-1,232515088,785228380,182744116,249112092,-1,713378289,487402986,640230516,927874398,581764665,449414948,871801911,124287543,862139167,450306983,-1,456309089,48501081,-1,-1,-1,907304928,822436093,-1,-1,159591444,-1,-1,259048708,671856733,281827808,692921794,954256934,536664874,-1,-1,873380091,627470032,-1,537737182,-1,-1,849518376,-1,-1,74059911,816385405,-1,480557020,661981498,359692019,691013801,586785322,4631097,377057998,-1,546190184,-1,-1,477905446,868753855,186606160,510062792,460502799,-1,-1,-1,502086220,677056060,697371242,-1,236029644,-1,319612227,-1,-1,236895338,505643535,-1,672419074,-1,748238521,-1,928994626,-1,-1,-1,921289196,897570760,-1,954957446,442356844,-1,554284787,-1,830156488,158696149,139457381,912763348,-1,447409865,-1,-1,246310930,-1,6913963,-1,-1,-1,-1,953742452,719135354,609176836,685909196,601031479,340752710,312901117,533028749,-1,618038871,-1,-1,126101932,711378958,80006372,681174153,776178754,898885793,841804175,814470812,459670646,681864968,-1,-1,39287047,-1,640656877,299521096,-1,237657933,-1,680017321,152522470,701142222,-1,-1,450087879,619035170,3370506,-1,243745771,977031444,860103720,135688962,684097441,247281968,667038098,-1,-1,-1,82295826,444446499,410458460,-1,514610538,-1,-1,683959031,-1,-1,690096923,257426384,663675943,-1,721018390,-1,462961377,-1,493164295,123094345,580662674,867424857,172154883,-1,-1,-1,-1,440631435,521859283,787571711,-1,-1,906507379,781122187,-1,-1,43194926,748863714,669182206,219715614,716239393,920369997,763208874,764607105,752651461,-1,-1,551680039,90641264,474812800,395654270,477745612,41167959,459506499,824471680,-1,807424153,133856275,293900013,503083593,-1,437690520,370442796,414719823,572271311,941261010,375854087,220820913,566639346,550174858,-1,741291371,851309767,274918668,616483768,683052096,979076544,366719925,371767529,-1,757665215,699756745,302394939,-1,-1,-1,495202671,-1,902772423,-1,-1,28955328,261185076,226555534,783138062,-1,743137367,-1,490479505,-1,521604624,52502469,800520843,-1,397684002,536458112,364838133,745750215,448786904,644230626,699089838,-1,-1,853983729,362152465,849598247,984104515,-1,234389933,815313822,51868276,106640442,-1,123720284,638502959,-1,84049077,-1,254141284,221697300,450707300,-1,-1,702905560,224473395,21706379,-1,813040413,-1,-1,-1,-1,180828035,10877863,-1,-1,507307074,-1,-1,229762937,926408353,291886836,637943866,364693458,683666973,802978192,-1,215771132,554873911,393345258,818411838,455712727,303708044,-1,814014363,946766987,890330970,532008848,-1,787705976,677705127,364603402,-1,505197678,879966596,111010626,325332416,42931652,-1,-1,147985807,762867540,81071248,775916864,954226424,841684547,671732737,32572273,614005534,-1,932694577,351416441,504723918,711053666,9505772,-1,852932108,981426051,119482342,735181075,849630818,-1,545515063,689569491,136944029,911312753,-1,-1,-1,82407852,951231372,721052716,-1,211858407,375912989,297629651,213879190,417193588,515881464,415322666,-1,-1,937675788,587309593,-1,470602394,577002507,837058422,-1,360408783,947907427,64137628,793499738,784406000,26711347,523499918,948908433,735524118,102196185,300724980,923561051,374699436,-1,465559786,627236113,596901752,659134854,-1,282061598,664060270,-1,592640494,319872096,118043482,919280402,892417329,795556002,-1,367905483,-1,-1,-1,233638014,437901044,508827736,222821209,-1,844881296,177801952,908397322,123407621,983198395,-1,54458915,420781955,171008426,853275566,835904388,403381163,-1,60398039,216258156,-1,885977374,-1,794003861,-1,112775996,905944357,-1,-1,391144209,-1,-1,675946538,933396367,99937159,-1,458413369,224386059,-1,-1,239076909,877744978,-1,-1,-1,606250845,555419362,783193481,757321614,861647970,-1,-1,972933419,-1,986467602,634676826,159115857,975618425,-1,-1,861765419,924809563,378796777,921317406,-1,137930338,695218127,838078236,-1,767063969,45122352,-1,193705436,138435837,-1,657769360,989242316,822044465,116042531,757247364,735316830,195574870,-1,734537782,-1,940296586,888245639,770898333,-1,-1,-1,875170504,744323966,-1,696099883,971049947,112810622,603469064,884504128,136195223,-1,567630617,278310397,393506878,785995455,-1,-1,597131978,939246096,-1,761945254,396226989,-1,634974746,-1,56908476,-1,915456468,-1,829959413,116952234,-1,81913992,-1,734790216,-1,-1,-1,-1,-1,-1,180997425,306750175,445168815,663803800,500206658,577209033,957034986,-1,-1,-1,834279429,229704607,-1,61820659,-1,-1,315458428,-1,-1,866413694,-1,957557074,-1,-1,70186775,662154145,714896914,160181785,460290545,574859800,-1,873750309,867036498,938061983,908195886,-1,879387456,62210124,45601244,-1,527463334,-1,872861025,-1,-1,188250462,208429445,860945165,424316538,-1,-1,922462264,997012550,826001672,460703000,491632258,-1,99060919,-1,932003824,-1,600874949,48711699,-1,198081832,308733475,996228338,268299237,-1,-1,-1,754179769,956080139,721120267,485718183,709500509,241154704,726535138,784902772,-1,795297423,-1,-1,-1,916983600,-1,836449336,78239599,924930639,656347621,146362961,-1,789045225,800899323,-1,637735794,-1,187548447,447824645,56252695,873057998,805245423,426663020,28150987,974884949,725746620,236414951,867120521,-1,-1,-1,312921985,-1,312014150,602362249,53143543,678221793,-1,-1,760794121,-1,796037626,-1,-1,-1,181021221,865857030,993625467,-1,-1,-1,157487304,613458232,235084360,566065568,-1,771479647,-1,824001743,307767402,139049076,443949141,476833295,-1,926731478,-1,105967081,884443402,-1,-1,690433812,195671750,116942222,247933487,-1,-1,907236810,228249498,723471323,787464952,-1,6896509,199096940,766983873,219862783,-1,709243174,-1,902134627,258578530,894386069,452587440,-1,316713961,614098156,241036128,922117229,-1,697763343,-1,-1,463390645,449364727,-1,770730762,841993413,524572382,-1,-1,-1,494709427,267132563,146587669,167558225,899648143,282303186,380039341,934074444,-1,-1,-1,-1,190469745,31106051,959981150,593667204,811418528,78692230,-1,287660631,-1,328333773,847888495,-1,66462445,68978599,-1,-1,983191787,285329254,466564469,248677141,582241979,-1,371196803,782451883,978474201,487499566,-1,-1,284369245,592857132,872416123,434238109,-1,93864606,-1,999398466,-1,948713168,-1,303907337,763261861,-1,141526167,-1,267936313,678164227,705243500,423628519,569862804,139892837,912930985,460220226,10562213,772647275,444431981,428833246,213129715,96368451,-1,84202488,-1,-1,792661952,769437554,797684619,810000003,176679647,-1,857192265,187968210,478038787,443449462,49400565,504417691,-1,861628140,-1,417216117,130003970,353229776,20549193,590495208,-1,531928198,529898948,207192743,159609239,762083322,-1,-1,978552824,901991545,413451456,451478403,15604235,891059052,704495749,637285988,912762873,245750355,117972636,266175773,297967237,365011567,-1,-1,702554880,-1,-1,604708781,964994189,399336111,267318605,899007582,208768183,282337680,323093946,200451778,554508150,551072056,283092388,-1,866963052,393478093,-1,289203932,-1,-1,999090069,252516900,320903774,466645118,-1,639552246,366447859,-1,-1,-1,-1,672029758,600745215,515465853,-1,891192236,-1,-1,61338499,21963706,460905464,160612256,425677577,621855227,-1,416228613,-1,64188824,-1,-1,974602525,897851190,459089884,-1,-1,-1,376201243,907778610,794208666,562398067,-1,531180744,-1,840764014,676703028,949631097,-1,56927851,-1,292652309,-1,465473001,337884195,-1,946092207,958045093,639491175,-1,-1,-1,-1,-1,413961355,229002840,-1,862903115,983444115,295781186,921035306,-1,884434183,139248841,-1,-1,720671524,-1,-1,964554629,-1,99079649,346134775,922705678,-1,890209514,-1,185992145,380389405,561783110,313822840,-1,335371842,302546223,200658777,193664300,114385198,826079071,-1,707556188,792629655,-1,946613882,-1,673691680,824120237,188963669,284535919,79359792,465189573,583389707,589393097,742849340,667183885,530157209,-1,-1,599820216,-1,493980651,78073842,-1,-1,110080564,-1,-1,478567054,-1,594593106,325200019,-1,514774962,542619519,-1,-1,82585097,-1,777501901,922083057,699991373,890204403,-1,164686160,-1,-1,11452686,-1,-1,-1,494381240,600378391,-1,-1,-1,730842656,-1,369189909,-1,35443819,180737009,888970346,429674922,860636974,-1,116848172,302066805,801269012,741597876,447352193,342717675,623926212,305541132,509135089,681503108,-1,777789398,-1,-1,-1,685671694,303655794,339111528,773933814,-1,249641272,573054414,-1,722114210,411166255,223202751,186855326,847306005,760435309,182980107,857758091,410431955,-1,-1,358280601,-1,-1,19761400,120239886,288480041,131208374,-1,-1,522182318,699700454,280922400,-1,278675455,671250174,584996891,452643605,44737477,-1,993405735,524678952,858152982,63941833,-1,-1,495750416,-1,-1,904998957,796303534,839567496,-1,-1,995459423,901853526,621442114,-1,476712684,675660025,154237535,778071525,452486575,544451617,-1,720994644,-1,22577448,-1,910276540,598390424,-1,976730568,853697309,302591102,-1,29640952,981772780,-1,2919531,-1,34357730,257061616,-1,341343845,992905922,850341425,322512940,22048545,-1,239637773,-1,-1,-1,918037204,868982052,-1,-1,881736265,-1,-1,-1,691089907,-1,-1,783543215,884496343,666788540,343454757,40595026,445719071,662280743,981580302,137294269,613161207,-1,-1,727996445,-1,994106166,29789620,-1,195317221,526479987,-1,357405867,443993785,691337164,306137768,983082033,979298426,78652270,-1,947547558,506879050,865774259,-1,509280949,939148465,928593538,-1,534019557,-1,535453822,-1,-1,286765648,526034499,407367934,914395263,144548912,116101974,-1,506439443,-1,-1,517081694,380293553,-1,560034973,786377783,167154754,626488978,927490319,820039481,596011679,564868628,116989750,133010371,317544236,806462346,157713314,-1,932098619,54398915,-1,253909086,323452501,180606536,481705913,974051923,-1,701795971,228113194,-1,933998117,153108104,191097922,627909791,568753120,664156435,372938292,-1,-1,428908062,-1,-1,-1,298669183,726878337,-1,555272778,-1,490268978,804320289,738821097,231352143,-1,15048693,-1,24622157,904141632,-1,123259860,-1,336581340,-1,785830688,749451002,552618505,-1,-1,391412249,-1,-1,73950130,971306469,-1,871411912,347551603,-1,706046422,711099461,326220282,-1,347603418,19106216,890472074,769846970,921713318,875463738,83288186,-1,57643434,909715089,819368621,691806806,-1,377439016,954977747,574105098,708398026,-1,824391253,893042748,846573997,149092291,93856434,824466476,-1,625231281,111118710,-1,117258885,131019246,917549223,439260792,935146209,208500546,30801638,636814807,-1,-1,-1,-1,824496725,368698669,-1,214663024,968939112,535172475,-1,745904948,38198457,42887892,-1,-1,330825597,214711139,-1,372508333,522472045,-1,253364336,934564222,-1,602268406,11687008,-1,-1,-1,460645264,300221918,806831550,629014043,173288812,911260264,489114361,-1,162331209,382297371,-1,459661486,695465533,83166746,716816849,274268282,124409336,36367248,474201044,630098215,564782436,377202804,-1,-1,361400339,-1,259331815,-1,571829141,-1,76070796,241924927,750683427,-1,185312897,-1,-1,660082418,-1,159399620,-1,279078804,52623925,-1,807683338,324156625,55789457,-1,346995277,271123473,-1,-1,758636956,265539607,498565496,830814189,672223907,-1,358485210,-1,793140083,426315744,190933517,122604357,962950401,979990801,389775538,842418715,201829855,443139206,708868850,-1,807708482,471080429,-1,710676045,-1,-1,135001602,461786318,475458604,474210679,-1,745082235,969913576,974023401,-1,-1,46845712,788214082,-1,196874916,198495302,159025839,695284886,242391761,698954886,-1,857434254,352295623,420576214,-1,444312867,941646757,684407745,-1,-1,332863194,-1,986735828,569329110,571209011,191310277,-1,982886382,-1,635241932,175209704,72317537,286311440,-1,147939123,688255764,770916850,27007205,775951056,418819937,401448857,-1,805944511,84454314,696769567,239930685,-1,369404912,316071555,508824425,-1,-1,-1,966726536,102760424,829652192,228610259,688253359,-1,19350624,336621891,574493132,621965026,827828894,85296750,980300644,245008942,-1,326265193,-1,94087498,522982742,548819748,345995951,445568659,485133709,212968932,-1,-1,926087122,89787536,175652839,992536132,-1,-1,246998787,952561669,251754725,608818074,375451917,132052601,-1,738016708,-1,604706914,-1,24396535,162468879,-1,171753401,899968197,902921789,705109479,-1,403712269,558575238,909837871,623906598,835440178,290435676,547114687,705226543,257094157,-1,146244374,114548880,64709803,-1,-1,366883145,359425246,-1,789086528,160744601,-1,392081298,380093641,971397358,144281099,-1,-1,386331117,238651748,852110523,635262162,-1,151212746,882515642,82866473,-1,233412300,832978197,314847811,791617190,70236170,888059385,630284467,522949551,71135312,354865010,-1,-1,856386772,-1,-1,-1,971268795,-1,959857823,222179487,860952800,-1,136513196,788366356,210244754,137057403,906715525,-1,770031273,-1,450671554,-1,346158234,750220232,-1,884942527,644408321,-1,585506743,-1,638356238,-1,806728811,778268131,680448677,320644908,-1,719301230,489380538,-1,383358210,-1,257965178,130590086,323807994,515413263,197452634,-1,225051861,720292732,-1,-1,189319222,656944385,-1,162521056,871577236,338438511,643178125,649785975,-1,599648674,-1,-1,817390489,559148014,655594567,68064007,-1,232899318,-1,30822348,113543893,-1,668769841,-1,712850577,900742273,777751106,-1,837565039,-1,-1,367258698,-1,346141738,-1,249942100,447267508,715677680,884610324,421330227,766546831,-1,-1,-1,-1,85272021,319906854,-1,254508375,-1,-1,420172176,856510593,-1,-1,-1,222552777,261550911,711548294,308600968,96635757,470263508,1005684,567393222,536835317,209435887,560817763,56648083,636428084,391806584,-1,881161922,892605212,-1,569629585,-1,570945500,963862398,716988989,711745297,919835076,-1,770799499,-1,472135250,-1,-1,338840612,831790846,460634050,-1,308990550,-1,458778659,307141912,735167104,868074451,438984836,662992223,314460559,-1,-1,-1,878331236,630512235,876387598,180400596,222629446,507338607,188912411,44234611,-1,-1,828910033,-1,950394094,-1,549689358,615602210,528131884,359832655,686047351,752497307,-1,-1,345535336,-1,-1,40232229,269249445,256420642,778924587,83451116,490811790,251661976,884745473,167399035,-1,438506200,-1,468790971,-1,740525823,-1,798656286,-1,689969276,-1,937804247,849734479,876987862,-1,108881175,121098224,413476860,367298528,260839286,966468054,599641794,214200101,-1,725725804,-1,399147739,500894033,-1,26185798,350546332,335675992,-1,-1,-1,998304614,272280420,10477713,888887215,707834777,81334303,-1,-1,611925793,-1,752129982,715782920,577008905,834379664,780083216,580249962,-1,854598219,324125431,-1,-1,803768690,553854784,816450492,692225052,636745840,588305959,312690159,-1,149099968,605343125,-1,493239938,135823972,835240531,929190729,934984108,-1,-1,398396826,613047714,213596671,419589892,411954781,-1,-1,-1,876089733,285464960,961058134,239813000,23391968,598495659,535135464,599871019,775159480,55497267,-1,87906009,-1,471974927,-1,-1,-1,474557679,157850962,-1,633636363,283149974,33725420,602708454,596434670,971697267,307232876,369435913,564013118,195431706,727428865,359002288,824462276,375542787,-1,910421513,310329478,931985100,378101630,-1,427804320,57463808,64585721,485957520,126897235,807866784,-1,-1,619897920,250527002,422321204,-1,-1,208068734,-1,291137260,232266511,337949822,979183415,970132555,-1,769396235,824206301,196540645,855508465,674217233,875222424,-1,296639652,929224176,-1,-1,944593089,802627847,877442503,-1,-1,-1,-1,781596665,-1,662266591,-1,90348733,955197346,227907404,211026459,-1,789157110,348079614,308049404,119618302,468767795,-1,589230199,956245214,198519222,125917012,-1,-1,430735646,-1,394929293,640046729,24813348,837411948,416136910,-1,221186770,-1,-1,-1,-1,-1,-1,464800076,739240356,-1,-1,633209742,851500672,655609727,-1,157826259,-1,368296162,192591941,306097427,852867876,-1,519068182,418923588,44598124,223608669,674186383,-1,847041676,517828478,-1,692990225,291037543,-1,102507759,213210755,-1,845372345,303546916,893779867,381683354,314376492,583402369,-1,341630503,791666777,436378660,789826054,-1,157907772,38087260,43099437,-1,912616238,-1,598073167,874387664,-1,-1,798249238,157144331,524501946,-1,-1,-1,703089966,905385090,714431410,749384362,170069582,89723322,520841425,-1,-1,-1,599162652,-1,-1,463606008,681656017,510699565,622289268,-1,428221249,366652191,35172587,-1,-1,-1,391763686,-1,514927866,782439501,216389703,750193297,22853622,-1,-1,324239654,703199829,55682388,-1,204281160,148457178,690528108,-1,949511924,-1,-1,747601853,-1,395560420,846785310,572503388,609712470,907920327,-1,-1,-1,933827651,53300768,-1,421339777,-1,871937569,864805490,694162587,-1,748865930,180804580,488368884,-1,395659299,387104424,638283421,-1,-1,-1,646638784,603541451,213703173,306414085,359226105,-1,933553621,-1,343812609,870569004,959801104,498212105,153385941,826094156,-1,301295014,54788651,64960844,-1,647352113,238833260,14822165,-1,41544747,113517829,564729097,963798445,547399707,220359125,-1,356336419,995597670,-1,385017284,190884130,-1,-1,555707468,911336302,-1,677438716,300678771,584271764,513541940,-1,529136369,-1,978922937,835035403,539951068,790554721,916085655,302699318,457441094,931980571,287841433,-1,-1,735221438,962488412,-1,487207863,211904568,-1,75830145,136193009,572649407,9507128,547058672,674190854,-1,-1,553750974,978082887,281266299,120489043,291124431,-1,-1,102410990,722705924,-1,-1,781418985,710353619,912918799,-1,363395695,852876839,573901507,781251996,74865412,-1,-1,-1,852506119,-1,704495539,748781017,267365119,476934182,491640349,-1,794764159,378898080,996495185,528009230,556138717,46373852,623075795,821519888,852573097,-1,-1,-1,869104890,577750553,-1,528462488,195465786,176877675,240879834,764743190,42311838,-1,-1,822779354,-1,-1,571707734,741448689,-1,975062156,-1,811973094,-1,715349301,553350052,289454879,950015844,322448358,-1,-1,381148970,-1,144281591,19414090,-1,-1,-1,639363122,787329124,-1,619010066,160818432,476636245,980039503,-1,943115747,-1,378368299,551088643,-1,-1,624374513,885889223,-1,-1,580356713,251303298,839877849,124405771,-1,53591909,-1,-1,-1,-1,888270720,-1,-1,-1,-1,612996830,727134947,-1,-1,361213554,31370272,101926897,-1,-1,697147867,313979210,664370193,848079409,890967147,58590991,296431594,922305345,-1,817366723,186380200,-1,659895694,-1,428473967,851670831,509939359,-1,-1,104355630,47818695,571950139,600015772,506195904,454065514,955896897,762964721,655782707,61254411,256117991,106821196,904005838,335867393,820963290,520182604,814935627,-1,-1,173540266,996241157,227406544,709192935,301673550,294662916,-1,-1,682565830,604708144,987564238,262265414,-1,519447221,-1,763230747,-1,845221895,267157472,67846696,523638675,463035867,204603013,963398219,619818569,-1,-1,806451888,442846204,953803844,-1,717769160,513491916,-1,575613756,-1,866480327,63760001,943004888,-1,356760774,707829947,-1,606489330,83960316,213617357,75736448,609073996,-1,891356553,503514706,805596493,545725696,212247853,-1,193505796,-1,-1,137349315,-1,715960944,689707579,247846656,-1,850316385,355295920,170751488,106100776,673020967,839038935,230718569,307375045,295415718,-1,271740230,-1,-1,522261802,152305194,380249075,976520314,-1,-1,687689559,643199413,-1,-1,407552032,196622558,955824339,538131054,163978189,-1,603413845,745141784,-1,-1,-1,514299337,723190857,858556362,-1,-1,851293304,664631900,977554224,54420955,-1,540502062,350389932,-1,-1,922759932,371310844,631770257,979508695,309018547,410148142,431098300,-1,202640218,766872118,137554401,945592438,591064929,-1,311563649,27033205,-1,964555453,-1,-1,489712140,306013584,682644801,522348370,819041032,-1,301634687,702683034,78722688,719953181,91728680,263831413,398135944,-1,-1,-1,-1,-1,-1,633834797,685537131,305837619,126215027,526262741,802573069,947089746,830875854,-1,744784683,-1,415146025,30794472,-1,-1,741975745,579425715,125161258,338641502,341035317,865238853,698897845,-1,-1,784857329,352017386,4504321,986869509,44293949,97216064,416141545,176410948,-1,-1,299614326,878098738,124815383,829447863,-1,129844596,977396541,269555217,974584980,548008235,272379191,426289306,286667033,251800923,-1,321415015,642652237,245873265,65583820,765824528,619495635,270277509,480625760,-1,487716964,41201183,-1,18609867,783302699,818681119,183157613,272095786,-1,-1,-1,-1,-1,268291770,-1,671471045,-1,914619859,667310103,-1,239861057,132927230,-1,-1,166751814,816945421,155045037,699418073,-1,-1,500895945,-1,463521950,650592985,876634341,-1,233063513,-1,692397151,172587185,922330235,676438665,818745916,-1,-1,807148626,561292375,-1,-1,785838176,-1,677599181,827362163,812609789,734204328,443764895,96227846,384441960,39254217,-1,-1,297491892,369996313,344320213,-1,-1,381692899,-1,733578753,147678725,890519518,908688201,-1,972606460,354698855,243442960,650612668,798819842,-1,-1,-1,925026878,906449766,485062884,-1,-1,-1,914192813,-1,486591926,454156391,616070555,328289538,204597893,-1,676495495,-1,340935702,704083959,-1,-1,-1,508997696,-1,197572137,963755826,270741253,759629482,-1,651841676,212786512,-1,270157212,-1,-1,441000735,762508032,-1,-1,811695073,107765161,-1,837756405,586204787,-1,-1,-1,227145001,537046585,-1,702891028,764757628,-1,-1,328024828,489408722,942854980,-1,924207478,975653794,603026392,-1,357933969,-1,657645511,626328736,-1,844671388,-1,93244070,-1,796202949,336280055,-1,676905739,-1,43275013,847312163,402880754,833980889,74113528,408830875,-1,429916628,390051662,643457453,-1,-1,-1,-1,-1,-1,719633912,784716198,273822372,-1,197957252,536891794,195582128,989387726,10814739,825567504,229879536,-1,-1,252291512,999758911,-1,-1,366502944,809594398,584367605,11265183,-1,-1,858829753,-1,205430380,908724630,290830005,346430590,429038910,346035567,-1,83316521,124691908,130889668,497066890,407632720,334628446,430677405,828369877,946199244,-1,714793916,997290564,-1,75330870,616790420,795212038,800652414,992864799,560480741,-1,790463390,487485082,71647569,170361988,575754835,270019398,8833611,68346843,377026078,132674135,814279415,851836272,411475801,-1,755517650,625715111,-1,137249358,-1,440627422,330137018,369696328,532978276,566992295,256293623,669119318,-1,345013759,242979792,171778018,766929262,915079905,-1,657248371,417795831,-1,3119588,-1,-1,-1,-1,-1,-1,976040411,930690494,558474442,309587,969955754,-1,-1,184585525,-1,-1,-1,-1,963529035,261423590,170897792,505929427,270623238,-1,-1,426386062,-1,-1,-1,146739684,229260749,542029088,692888078,-1,51982137,660460872,195124803,7669079,922466357,588208946,633386340,822169661,452625000,553748321,194942613,621018911,407644982,750930632,921945770,822203020,-1,549140485,581702224,76207687,554188136,20481849,-1,598445683,634537081,-1,820396298,689204519,769550614,-1,639645575,623069792,953484963,944265055,638909581,-1,905583407,-1,-1,245678270,741929766,9484656,837129356,-1,679388121,23786418,851734928,14011384,701182243,65737502,-1,716777072,914354842,915003160,462330211,-1,-1,796514693,-1,416815674,798839626,949484626,6019919,212695742,205842947,283741895,628642358,225869993,73757707,-1,833969606,548063503,-1,528128897,277070519,-1,-1,-1,374318234,386478423,-1,234020652,-1,397491053,513934988,520925960,374105416,-1,-1,584485328,-1,659503719,-1,-1,-1,715839688,-1,-1,879695340,-1,317627497,938165867,76911734,853190606,-1,606625805,14543389,121776068,-1,540191929,-1,322364318,260201410,894152080,906459134,-1,-1,-1,-1,485379890,825884669,915336262,738220428,987032714,662955797,419331685,-1,714514943,353924962,845057077,29287171,-1,601057254,-1,-1,126742823,-1,-1,548440332,-1,811994531,-1,625969321,-1,-1,465192908,102299867,318408432,-1,696480504,879057822,996171614,-1,909893353,434141154,-1,379736771,-1,550514402,579453765,-1,-1,726488098,-1,79618595,136619544,290238065,-1,701412088,-1,462820265,193747903,759556744,657046862,401298516,294185927,145358944,448397625,538031856,368551057,-1,332292947,988555446,-1,362565596,146969300,984865341,257307466,-1,-1,-1,485332202,368289450,-1,-1,412490912,177268827,838604688,882374691,-1,302227536,743914420,107053602,839655474,-1,-1,513832075,-1,303823941,249218231,483857172,679512195,738503713,780945146,250137851,-1,701776491,808686823,241431500,13186492,-1,38101187,695059982,749643386,-1,-1,64703451,463241944,-1,566517097,248928562,746242754,73421311,558415999,379557252,-1,249518044,337540976,571127153,69394474,398125067,329013337,-1,82421050,-1,976205435,120559362,-1,-1,843196778,46381001,-1,118682143,253320553,-1,16681413,-1,-1,489326286,780755626,141290236,184264638,139357229,694653152,544832099,31513909,724117122,283994978,-1,335568739,172696638,498692420,598772462,121866321,835952998,37911053,109035292,858568327,521075418,901824809,74852930,673393887,-1,-1,-1,443831132,-1,145146775,672168520,928226175,327938209,988005839,387260565,-1,-1,808195341,-1,710803527,-1,918015287,130829930,519458710,700803799,798305947,-1,706120614,846247126,129000303,715690670,162059786,154446859,531344924,962657887,-1,654452374,788806571,4615349,147552780,122973882,-1,-1,711984798,-1,981945856,369113548,-1,-1,752595381,-1,-1,-1,-1,349896216,774446389,119880879,-1,375306894,327759508,536044961,138205965,130627198,899243567,-1,869234763,259375044,872392165,547968462,220024528,-1,25492898,402630078,270904164,3652502,-1,597729023,-1,881452532,462271083,546671223,155887393,252750096,307232981,-1,591722547,658924238,480717955,-1,442344794,932572246,862144707,218467025,594949101,462199151,649315743,859404878,-1,-1,345666915,-1,369544700,-1,252135258,-1,977255353,992054164,586611611,-1,243785843,459665685,810236832,624561209,-1,-1,197929230,842781767,236479437,610736031,303177075,826216690,145817689,-1,792349077,-1,77693352,560680916,439510601,234573885,489404117,291396584,308308106,-1,110429291,-1,178252013,44207210,-1,418893578,710008657,279075258,-1,-1,-1,833313803,783035293,616712535,279427037,-1,835003467,374981733,-1,928816135,164097543,13709883,-1,926720947,420911229,347556308,-1,-1,438256367,367070095,858407809,24010650,365824626,360730693,438123159,-1,105393954,711268883,635686511,738263299,170223068,143030463,309852238,-1,-1,134154046,104766636,466012568,174924475,-1,-1,251158785,898980361,793395194,820734327,582223955,-1,763680496,-1,-1,521831423,-1,62675466,883579424,-1,-1,401160608,183769011,930202867,-1,584784731,902856986,-1,683972889,-1,43008460,727012242,715831555,203411586,201624473,-1,30275548,129312191,156541648,909186873,609160576,-1,347509843,-1,-1,-1,213603072,859957423,880535061,30720499,-1,364885553,999600230,630932524,915698682,-1,331202769,349836552,614395943,-1,360907528,-1,93579024,740730335,938380625,809472641,-1,-1,545927711,59700989,118021559,-1,166871,21894422,363776822,976880346,545301404,457349600,946908365,567146308,443227747,175406115,542901058,287980147,412799732,518272055,753114297,8298343,737267025,916110078,-1,623050413,46885773,-1,-1,759721361,408035736,819590504,815694058,-1,909109485,-1,-1,134325052,12195881,131090112,-1,175763404,258736702,-1,-1,-1,-1,474386251,433771074,-1,346235344,-1,-1,822810709,-1,506522244,-1,174098875,705631040,-1,538078612,825539161,711545873,723585704,202570400,973423097,-1,9081038,-1,385798322,63164757,561958881,-1,471847071,798771222,671466008,-1,555423871,638722775,305503656,781753036,768231854,87923233,949210496,68368044,-1,545160652,450778456,120887506,165740518,935167252,29291432,-1,587368533,55246746,-1,417357976,-1,-1,868230290,-1,804828139,951505082,301378402,986746113,-1,433185158,677414201,-1,966889935,159629533,90562787,280742149,525053788,495215678,449970553,-1,24262527,194732716,994770718,151957392,192369097,101319536,270720658,982108584,150713611,-1,-1,633833596,119191373,344262156,326967562,646424158,235805763,770862136,-1,389024181,-1,231304897,-1,635652225,998865099,452821014,282240154,534286197,393424218,323062841,675252059,319365788,-1,478214301,368672589,727927823,-1,16557280,-1,403297240,96074291,-1,-1,608095798,-1,888429536,233461138,92219581,444513844,489576588,539096288,755258757,-1,-1,-1,803175553,-1,-1,-1,265572241,761530522,926752818,209361103,-1,683920867,844938795,459899047,192560989,-1,594205385,58022281,932153516,834004924,648284687,392097787,56853531,-1,987172423,-1,944332895,232694051,-1,469490431,-1,987385232,190841004,-1,40716789,214246684,222673425,426130835,-1,932019499,451402914,623475959,-1,321007611,-1,156167345,-1,89093396,546090057,30909105,89718492,814672417,-1,96285210,-1,544919877,78304904,700963060,367063043,75485089,-1,-1,-1,637824956,85669461,-1,660863570,-1,80053638,875682007,250024570,291838451,226329364,-1,892207733,-1,276962345,973119537,293011333,463186846,978391218,-1,-1,-1,-1,-1,-1,840359255,-1,651088357,612490098,-1,32901487,-1,-1,506144572,953781185,617709888,-1,-1,26779137,898254602,611159944,-1,421761028,601816571,-1,735366888,293632710,-1,-1,960680171,723587783,81160219,890195971,85670432,294458192,-1,818057884,772818957,248141389,771811400,2663414,128819376,-1,974548890,903194697,-1,792486262,223733854,-1,-1,802965705,284678676,608816457,721157996,83287245,42970543,60154365,634504472,956864804,715202548,413584534,769619707,566232777,290184868,4682038,479221932,97630104,-1,-1,748869262,105090690,389093822,654168562,-1,-1,522241199,-1,-1,231706386,412534500,-1,360265520,135762669,137896707,515953981,471328949,-1,986841443,801838931,913701952,337244831,862313227,559521631,189139530,504365961,259029382,-1,-1,268636157,992986785,-1,66919065,-1,631258594,939422882,836210216,-1,-1,203863224,-1,517164492,777040394,400387058,126428090,783690215,328851303,66771877,182777935,-1,131881322,971238038,49561193,912422916,301384578,450578845,960415155,-1,625665839,-1,412207767,409351585,209659648,869545013,892614227,-1,-1,533105853,594366543,657451026,-1,-1,466510144,-1,-1,643819278,-1,130689613,-1,171059776,978361019,441317113,-1,88156352,551441707,570813980,401673789,111510889,828157198,80623765,-1,771559827,325147936,517446081,-1,-1,-1,229556563,553289708,170938630,75919219,451320677,948254379,-1,-1,481163036,-1,36877708,489494530,400278447,-1,461342628,291570745,-1,874618978,-1,306228840,128828796,852293451,-1,589939712,347573343,662359212,-1,89531476,-1,836192092,589549719,484162326,809510564,-1,455628508,99809621,106002763,594565765,461745688,882071357,-1,853637774,-1,959120490,-1,68480414,485587461,-1,382524242,287661495,-1,-1,632566583,993309652,-1,-1,603793191,492055792,-1,492202282,748398866,-1,883249206,923146674,-1,902848639,117868862,-1,89400366,722497739,271422478,388672426,538102969,-1,-1,-1,406258372,614314895,724888039,-1,-1,909640353,550299793,199149944,609875740,922904191,859649102,931815745,187006797,232210365,28901882,232378730,-1,557391965,253111814,-1,923105111,-1,-1,-1,313008057,956001951,513651255,725366331,787576971,296871273,392571588,-1,408106809,528664142,520239468,367143382,258058936,327267216,89240775,-1,-1,-1,406898624,505489586,-1,4622717,793202488,411276899,474856797,422184874,185298307,912903966,-1,858458673,954259243,646612061,906335049,29758977,730373814,608675139,886383031,409543067,558334217,102880682,233075910,626962779,624379090,451616925,846822822,596705252,553159604,619520465,209975681,913156613,112387692,900844445,710155066,911289092,324355499,111788471,878650605,548959099,115092755,564625470,49847020,-1,277495552,333023676,630503610,693531715,-1,885824601,927082252,-1,965743615,921374106,803033531,-1,-1,803877684,910156503,-1,637767244,132996769,44117536,435558666,853108529,362141142,411513376,345270021,725297305,433890533,-1,163818802,464421161,647890686,109893082,-1,220671270,768499914,984080021,537213693,286963640,559395275,-1,-1,495391719,176427809,-1,-1,561786510,-1,568861040,-1,978781013,-1,903449151,472219601,-1,-1,430177872,988769934,880789152,216928556,535028249,423932415,761135921,912733532,617002102,771977530,-1,405688268,879770853,-1,-1,-1,987899610,874640468,975616942,746929824,-1,721324812,689078830,869450358,-1,365425249,427557014,674640896,-1,-1,324747736,469286870,328263913,542497667,635913991,-1,669728957,473901519,877330213,397815591,612919295,293018971,-1,333365587,110927800,687607717,702066702,421874436,322737467,-1,1986436,130290917,461819665,172147031,469411371,199918585,-1,-1,571420385,162741272,-1,-1,423499116,414057276,925944740,-1,-1,-1,545445164,-1,46014916,494127359,299408628,-1,239301929,959961454,-1,-1,-1,100802547,-1,646305559,281546519,793777134,878875026,909264824,541482677,-1,598186584,997761815,911352577,-1,671134457,141454661,-1,821716363,304740586,44387774,719846271,449617607,-1,746435545,404355579,819160313,-1,-1,538566655,650286460,-1,818973570,459989785,-1,691739108,675242887,-1,429216481,132453231,-1,-1,987925213,434771123,-1,122066567,249753669,105854880,788438996,959790502,-1,559666449,687469286,360578459,915286077,247244881,-1,909542638,102462823,-1,429412816,260070845,561416747,716464994,-1,719777599,90996567,602163526,-1,991885850,35402996,-1,833005984,-1,793250195,325515935,131025592,86463128,974960254,868431414,867350602,275103414,-1,-1,-1,274077452,-1,846792585,767085043,369653772,-1,585032734,715834963,975657453,429285610,332475538,603738868,995017378,-1,863295650,638222047,43573209,-1,17385183,-1,-1,586920729,815204899,811994877,-1,-1,180568873,208105075,15065510,580856854,659634913,599356622,967056760,855539730,-1,607067331,696630392,-1,655328664,798110064,-1,443539349,306172457,-1,186447597,402707507,-1,-1,110398633,242665681,-1,-1,-1,-1,935010918,985294863,497252372,-1,-1,-1,757914505,276976781,165747094,38913073,-1,-1,519034755,765959381,-1,764340227,805263012,-1,691769818,92165536,-1,-1,-1,893063962,-1,559958511,214860397,-1,978674498,645649581,271663488,234008427,159009745,291567782,470969003,495171719,690177214,228548389,976283782,697523559,-1,112437931,65938144,486920469,100701535,479258365,-1,688612308,115225876,710904342,991484209,-1,-1,-1,939948738,-1,603126480,905388,782578475,547998656,-1,59962266,-1,-1,856257678,355811328,-1,964636006,966943113,-1,464952038,-1,652265806,80220572,883085161,489833185,-1,-1,-1,-1,-1,-1,-1,935318756,68746235,-1,937230471,52727747,-1,300175540,-1,125692654,-1,347095214,-1,897865809,272717032,941485093,893498920,-1,24100304,-1,-1,554661459,813163520,609572577,53621257,-1,69040143,-1,213081244,-1,616330244,988832143,-1,-1,-1,477933866,46199563,841403214,961572126,-1,723432729,182222442,655133653,551650597,803344023,-1,870588749,-1,-1,-1,826664700,678357370,774456680,-1,656544823,762513416,402560169,39177686,217787800,205956267,449353683,390625248,86562853,-1,778811542,925385013,931353364,462360848,354931662,-1,-1,832327349,254760443,-1,-1,-1,489548242,998653037,-1,325784349,477330786,702444902,-1,933358852,887924321,571029064,919621213,-1,5676760,-1,936312764,-1,150916390,383537592,-1,129722391,986708156,353960811,-1,-1,506969101,253430990,640698757,-1,-1,717654870,691987983,-1,796869465,765161005,553064185,134687688,413698193,396097535,-1,209879964,-1,724982646,785860693,640329065,728611702,-1,-1,19135661,741905493,274159442,623086234,976603551,-1,-1,-1,458366258,556272849,796895821,-1,862362932,-1,-1,-1,87072375,405092500,224540043,698639061,382660107,109944080,660711490,-1,818782504,693456142,612104835,69005210,677125380,97364109,-1,919782660,-1,437311925,-1,235928593,522573974,-1,905922734,793248249,896201803,60031987,-1,-1,118034439,-1,194059033,358334840,161367053,-1,212950182,426142138,828038328,721116454,596965084,-1,431577942,76747845,-1,116490942,431551761,961093536,-1,-1,-1,-1,716129532,-1,118109358,68766594,-1,-1,545797709,879466884,-1,-1,-1,848593045,589872647,257856423,312832861,-1,99393206,223010815,608809633,-1,-1,-1,-1,883252150,19703105,-1,873497775,217981167,-1,614151830,-1,329147150,65639481,676527816,691441958,-1,612334098,535102485,774301581,32691304,539813563,94343572,577084854,112518928,319037541,855576429,81352214,846242459,808671562,780624290,784383805,-1,-1,141031190,-1,509062321,430967733,-1,-1,968350433,198517706,962447731,732150060,748242837,549572390,480689113,-1,88542712,464987701,-1,946833916,88744020,739533407,827589924,944953009,-1,-1,468545238,-1,604664564,368850414,26021383,623225612,-1,839460043,-1,703686960,854401801,-1,74467698,674892359,306230407,84858354,-1,728617224,-1,839335590,-1,698112170,483349098,-1,675971711,-1,399394662,983100506,855979899,995207835,-1,-1,778962423,630113082,100973322,226114789,-1,474918431,969112583,958229319,648809473,326417878,673688881,70408766,-1,585449546,-1,786343448,-1,-1,475683904,-1,216743572,528097357,641116431,333600409,-1,355374040,72049810,904428314,-1,167600114,774800250,408906157,340484622,380542859,-1,360600981,485318475,-1,636469458,899243089,833543307,-1,704746798,-1,645435777,978043290,473689793,-1,388286715,277633478,-1,321374828,830026355,456224253,-1,481931383,407525337,-1,802461489,260314653,-1,807062304,-1,980162325,790159669,-1,446342192,551894049,258608333,-1,628588927,-1,-1,572710148,-1,674303211,571205629,741787451,477326326,724630447,-1,439956522,658136256,134480071,-1,-1,711698888,323658112,-1,356409568,969790454,40571524,645604379,-1,733671593,4905308,903352694,-1,825995342,581911607,-1,-1,78188086,-1,-1,331476763,-1,488898875,287611334,-1,550030252,333641622,712043423,-1,988648888,-1,-1,-1,-1,-1,-1,355452660,295467337,4470021,858621068,228543675,197040090,740233551,-1,354723752,81330134,361044700,-1,494715202,628443366,-1,-1,676493686,576605419,388987087,612423015,638035354,884083887,-1,648666835,954905506,391720909,-1,-1,-1,192518293,974608215,448233237,606688911,999882293,-1,680015282,-1,810572934,549802651,-1,-1,874421589,359714184,-1,765153793,-1,212395544,-1,-1,112793259,638315174,-1,-1,473462413,-1,-1,210408170,47927429,-1,316560673,-1,524863603,-1,471109031,798457039,-1,111847626,-1,-1,125573507,-1,-1,-1,885419997,964502684,-1,-1,583656840,46856290,-1,-1,-1,445086573,-1,966820921,-1,641159948,344842408,55022400,908568822,440159824,-1,-1,479844741,-1,633423197,195950579,937793499,641531671,551698473,-1,419037205,746443291,-1,411035401,302325284,676959709,-1,787281510,-1,-1,960642123,577807930,99921352,269855249,479570987,525041134,246984192,132576205,230807381,-1,-1,185655070,853086510,-1,315568896,37871003,481840517,818082060,-1,535124295,530352169,547498051,-1,98675630,318653178,572178153,453915937,333203834,-1,11226418,311506255,9982527,-1,395969417,750237369,-1,156754455,458790681,-1,281897950,501549870,754149298,794645054,827820116,176167298,962349691,-1,-1,550425645,527168763,970509688,398276983,934868197,105712804,269787116,793206457,579587850,-1,406523629,662303757,-1,-1,202859629,197753641,718014957,647113493,-1,427996700,143295913,-1,-1,-1,921663685,404505206,337480880,367211682,752372553,946879062,-1,173455104,743958580,963051519,876630627,-1,498541178,865158893,601207035,370660884,604561547,-1,599733465,758291712,866314906,139368910,615117444,418794855,-1,788591762,-1,-1,338662398,747066682,-1,222265941,-1,-1,634125065,-1,249496257,445990859,-1,-1,217867519,890581911,157119496,16165406,839578954,-1,400164710,-1,980658203,-1,779393016,-1,-1,-1,561499939,-1,362212970,460818451,-1,143787191,-1,377197686,-1,305399803,196525478,-1,542628095,237659621,-1,282441290,354375525,711974038,651374126,487096736,497407200,36608252,-1,575928645,-1,145909048,-1,-1,771533243,-1,101853503,122272537,186986508,674113591,991263872,953051667,171898945,182003881,161690124,371211396,179156592,114245524,410931280,698792547,602850135,226182995,623921798,850855563,55675240,-1,493332152,427100007,272561861,532116030,-1,465278038,-1,568205949,-1,683052221,453912648,-1,840759105,425528590,173385422,-1,955609444,454067851,-1,-1,-1,500162702,-1,767466838,-1,346203861,835446476,683632824,-1,863187441,-1,392179639,354593365,842243571,644998466,522745139,398387782,-1,578112093,-1,72067071,922331964,915028051,620576677,809732888,796797837,-1,-1,-1,-1,829085644,-1,-1,911212348,-1,-1,30003549,149411100,117957282,219183124,543318817,-1,-1,-1,792162747,519178643,966032098,35444392,398908044,202960658,-1,127594675,719345166,511418932,-1,528270375,413503360,-1,-1,55732496,-1,481905770,655025456,-1,-1,-1,714299685,-1,-1,593531794,981372714,-1,-1,124997642,82786827,152748204,-1,-1,56308254,615640085,398391630,381114900,236966485,-1,640542718,283503868,464503886,518841502,63133062,-1,-1,880063527,353476415,-1,173105281,389648796,668582459,-1,-1,-1,425908909,441163657,-1,-1,664400512,940798139,982113549,-1,-1,358909901,302990852,59593658,-1,82445321,-1,727541789,88048790,-1,146160877,-1,617524222,67204103,-1,-1,750249753,468987106,454987871,928682572,624280428,-1,841176738,331691050,-1,885871446,619679666,-1,808837573,479876217,242604058,952503202,-1,-1,247122615,-1,534779028,286063269,732352102,689408653,335124717,959441358,19159031,788615996,399153612,-1,-1,954474545,-1,-1,804077852,616841406,-1,292884191,932719656,-1,119087897,79504230,138146318,228419058,688549804,751409725,538885758,-1,560009819,203475056,560472803,180346512,-1,4468976,-1,-1,838173301,550324818,-1,845947973,-1,636683495,470662949,448522621,33881630,918468333,763285390,417769568,-1,690456567,-1,321069327,222167919,-1,301005624,202945142,893651443,841590136,-1,-1,875806985,952641502,350841605,-1,835114899,725798080,732549359,-1,484702494,582586125,819115604,-1,622781347,887229116,642918678,-1,835273247,872140228,-1,320863807,315028816,-1,860084787,-1,168309337,-1,-1,880889955,783619789,147031697,474452679,27831181,875365473,778897799,578115991,583579823,266420575,173878940,943809587,-1,101099954,-1,382449661,472780686,30981114,927011547,621228357,278057987,-1,398382186,335300384,195949276,-1,-1,3282139,48921114,217909490,-1,-1,-1,-1,321252394,-1,317689664,273428562,-1,160705437,-1,542862141,935491517,919483614,326721174,397815542,-1,436248511,24409378,325854786,832316487,361889409,944587546,905084867,-1,-1,246340481,606568402,661856746,243344135,-1,817279305,-1,899413839,841243443,136955010,623887288,423445959,840259197,786443595,173274351,370189740,-1,-1,-1,724144041,-1,832618600,-1,-1,30778149,-1,886120208,512935181,-1,-1,359626838,826783374,69274386,102719299,329157505,901027518,181059037,549660715,618435280,212649913,734912817,397264282,773622635,-1,-1,544189784,167229697,414743182,314934567,238943066,-1,78547313,-1,848013450,-1,908959577,506260755,253291976,48369257,734048187,971296125,600170823,941675702,-1,740248880,912141895,747753037,542327287,979949729,575774563,-1,-1,-1,-1,425542672,-1,794786424,-1,790335156,281329199,950077548,967326079,925718299,125394915,536969989,172052532,-1,756108960,686006623,763751762,150800964,43822284,58271660,926461611,486200576,-1,789499137,-1,-1,557763685,561256840,63322068,340750630,94837952,-1,308644709,-1,-1,-1,811528317,606609306,916502984,-1,549793102,714402937,598923775,466283099,-1,705933787,-1,-1,-1,-1,-1,-1,115163781,288115070,-1,-1,-1,899878805,-1,171610185,841504245,-1,428936397,907206256,525324669,727293336,324954604,894931204,234177750,-1,-1,608201276,615492303,889412095,144935795,863097694,942776887,259662377,248497409,515261602,352939419,-1,53226611,621906736,270851879,-1,-1,593483805,726208700,883683398,80447749,856128567,828830300,941436946,570900797,555878392,392430530,-1,757003928,439111580,443420823,752372230,635816933,-1,155154292,150379255,744885629,186989043,-1,955501141,-1,783292671,-1,-1,435029233,-1,690811041,11365697,884212474,-1,-1,692176886,82813141,-1,-1,-1,-1,194538341,-1,425689255,61207802,293046729,-1,21188106,63452295,43087681,-1,555172293,635489767,-1,-1,650775147,173597301,643789394,250273259,-1,308221642,613977814,715059047,323942444,385467367,800996347,361288943,-1,562510170,628411263,-1,-1,782197897,957755160,-1,348464704,198600909,-1,958655775,656725709,428280032,-1,-1,475418486,700577784,-1,653675665,829638928,320459009,382125592,-1,686023976,372964343,-1,896356102,790083313,-1,-1,493496881,7886082,755080742,-1,275427777,147775954,635591164,631133339,415896202,-1,-1,16634613,877357319,582465442,-1,-1,411726045,618111450,173126636,-1,-1,992349967,918198047,113345327,281543588,152953277,488519654,-1,502967242,-1,795439682,-1,-1,416365318,-1,-1,-1,159639795,741637823,246304148,247694805,424195899,851829777,777124680,-1,852184955,47820794,-1,293207493,474951165,516343240,640423727,183789369,404412773,870705814,-1,-1,-1,323960013,823074103,956579575,197965223,-1,-1,955852421,-1,-1,586488683,-1,990429554,-1,722938676,101452624,-1,141930987,541519014,183096807,109482127,512728382,361844404,-1,922643109,914084825,409659837,433847164,872828396,235036879,2477878,-1,940971018,388007593,-1,-1,751220925,-1,-1,169816937,-1,267055522,687083308,4262920,464499078,550288658,255762160,644010152,381412732,302689646,-1,503625904,3526763,649817664,264154860,731439576,142160280,481836628,-1,-1,967194352,-1,804469612,-1,195788099,605646982,-1,617110149,880913107,620664050,233883097,96615753,315892161,16321782,743749136,-1,-1,703518739,39867481,402260162,818249428,604278649,666702322,691856439,457482670,646452093,528814838,719290802,633703978,124023624,849715179,632915196,-1,909692463,694213178,653201830,443500629,-1,-1,870683116,407602053,785543099,696165922,-1,119937220,902939165,758753751,-1,-1,649216124,586785907,969074688,941294810,-1,508500825,-1,83328781,554038139,409444844,863366252,874075303,751694411,20241242,349096338,441023379,-1,476001158,449051962,-1,-1,758335312,454703637,-1,-1,165523991,303221436,-1,664321851,268381774,772636309,-1,-1,317867602,-1,-1,18965250,578397571,236443953,570079223,632849165,-1,129412113,882708466,968770612,271706301,34634604,285909336,279669017,516995117,-1,50913909,833529106,-1,-1,948044831,-1,-1,157227144,490908491,272525993,372801457,763267172,106076399,401667804,186875300,-1,750097861,426677540,915908129,362739392,658627500,293717461,-1,144651743,529142563,-1,354761214,166855928,357268444,27583922,-1,665128514,-1,830161608,86874813,31003641,809831394,400523628,969948823,-1,909203636,30270532,632614119,412990219,-1,632012621,334936418,448635359,-1,-1,-1,-1,-1,768925840,188079164,-1,759531792,719309641,664915083,-1,-1,843593744,335884890,715427875,-1,155809633,699237290,829697573,883488041,898748044,759889324,-1,-1,739900017,831600810,58098534,-1,-1,745803589,563485217,488590670,476512832,436641825,598613554,180911343,796179465,3294394,-1,-1,349826160,-1,-1,796729592,507354999,-1,849844299,660247610,419519062,852352651,80148471,570812386,359875461,-1,91812147,301971236,-1,-1,-1,-1,184850871,669430945,647453924,439857966,603469199,-1,82360026,-1,918213115,629819040,950428011,172096624,-1,-1,-1,758219979,278921012,648694797,529732587,861203948,-1,-1,712505140,-1,29602362,-1,-1,-1,652329257,-1,244557698,653836484,731100439,-1,-1,954174758,711532576,-1,715227139,-1,964289053,737705500,-1,978943852,293487704,-1,-1,179340102,845509082,598280912,956595431,320872044,849579716,-1,474547219,486302723,980236455,-1,444509454,465617938,452484049,389341558,258300563,-1,139087487,-1,60236877,-1,-1,-1,574483283,244500327,-1,-1,52679127,9310317,697465899,193427574,780952992,-1,29315184,-1,231429746,799576897,-1,256298456,653662594,146517293,201476290,126617792,-1,114382151,-1,961765327,416771569,381322371,867109632,757113083,294817171,857422606,995245276,66280883,649844355,979801111,818731662,815563478,761693206,994893333,-1,101441055,353164314,804331177,4123495,833077775,439200445,-1,806336202,194113985,327614188,44180192,858681328,360101811,-1,665608165,-1,403068354,205714903,989225374,-1,-1,651064273,735234858,441327878,846993062,762719454,120951222,-1,-1,341692283,935762240,-1,428201593,908554547,822994224,599607741,626542867,508012354,-1,801858500,-1,548861991,-1,917875521,135183271,383951946,-1,506467702,404499421,85424830,494463618,143157163,-1,174944046,-1,676962404,477141770,826716076,-1,-1,408623724,609284775,371311168,15367978,990083124,484205621,-1,807687416,398732408,-1,971408138,297519010,576028974,945551093,-1,281579994,604242415,937828694,808782237,809091444,468683714,-1,857397859,829636929,67054715,-1,-1,968033863,680607797,170248132,24572906,-1,701576637,-1,180574994,888487531,323933352,609307406,-1,-1,-1,806800799,257684847,-1,84785238,-1,385307882,362661115,778627055,-1,-1,-1,-1,736927481,219794810,948168594,254751240,414065049,115159391,705624942,971368671,981398487,402346501,412633102,467150195,-1,747999028,-1,891690192,448014273,-1,-1,589323927,-1,776733001,786397188,-1,477887132,476107300,-1,356669111,-1,168219191,-1,-1,862356701,234546659,903002843,804306566,-1,57735649,-1,848778436,922363431,-1,-1,-1,-1,831706749,720856338,636614234,82770658,62000293,184123445,294045722,68626997,640571584,111200135,-1,623137763,690026129,773666173,904222983,-1,705401607,-1,824474336,-1,701059666,-1,-1,860878132,437134090,-1,751618132,770499222,114936978,-1,798844620,45986221,-1,-1,739095059,940969518,1243988,-1,625000482,706821867,874904235,-1,552284530,-1,127979699,915035824,607130172,-1,-1,-1,646301367,696869307,947361481,245245454,-1,791324037,295705846,-1,565940284,559744816,775174977,-1,54114318,-1,-1,962467654,481350507,-1,-1,857593928,712515688,861684993,426881372,154957286,647065405,531607680,-1,-1,-1,421991667,966192772,818750621,920193864,55162173,643188144,981166563,724044115,320310238,299891168,860962775,761292243,941119188,483460057,874303194,795473671,311206500,346638888,-1,-1,775839411,-1,-1,796622223,-1,723359478,962988820,390909916,438370598,852994330,650952727,818011950,413963877,843578549,417154486,-1,286284916,592384219,941984613,295838085,846009848,801343017,576462264,183415881,117933200,71065440,109812939,89574173,666312388,864632260,948470850,-1,-1,468227079,654383437,633540926,561888799,959629667,954396455,-1,812421141,161739030,746739237,614557943,-1,656294908,-1,462376447,-1,371761526,-1,515041222,551722352,251607108,843697989,179338130,-1,-1,294481814,-1,749173256,20701674,-1,995854937,115226888,614741472,-1,199984177,251828255,50424528,573758671,-1,539712591,-1,389002499,251326773,-1,816521621,-1,357321094,841890636,132811243,366452577,88001665,834104057,-1,568214042,856511927,-1,60959654,91925475,-1,87912943,-1,789722670,810268136,732068835,451864633,782061336,996033750,-1,350613755,-1,523777286,641206512,99243420,-1,791830993,-1,-1,730236396,33939467,380440400,-1,128966150,-1,861270045,-1,473053448,870509250,-1,573835261,27589501,837029267,129970563,158494570,635771226,655191508,129662720,-1,-1,137820298,935300853,487511700,65020077,265709204,-1,535662271,-1,-1,-1,-1,727108352,726094638,369576692,711027791,675608201,279954334,420390291,741338033,791775458,338126531,39794661,312593141,106688467,21674913,-1,765235874,850799937,-1,838372388,138142188,2495315,225606216,829249898,373313296,625992094,-1,-1,379702735,368878675,902401475,-1,634559766,995795494,651208885,988744222,538414128,361462838,554070910,-1,228473480,55074041,-1,995143737,134799734,-1,-1,-1,972138229,426993221,938049210,-1,688031275,-1,2661696,386144112,630249223,669486913,951296403,-1,-1,154900751,544397677,483543920,-1,-1,279293214,510159250,854348026,-1,971775189,-1,559493633,-1,-1,-1,951871249,-1,14552051,895848603,246915431,768965297,216747153,-1,-1,226706424,952228290,667142707,-1,-1,135173267,-1,870361193,54969424,-1,-1,762652355,-1,779719627,9979399,-1,667320556,631128367,783581661,-1,178192634,-1,908817211,43948706,-1,-1,-1,908226192,-1,825998036,255115353,-1,-1,-1,938576796,355690294,-1,541047954,-1,412639827,804669288,592492428,742250814,768728503,907553956,-1,268314956,228915459,932501789,460685346,-1,246567358,-1,971806050,167861404,723596183,979803535,996695589,-1,165093008,-1,-1,711249474,660325130,-1,695241843,984040375,-1,-1,-1,-1,-1,997543289,-1,298553215,185413470,42853859,110504988,26022940,183085614,328537955,-1,423836769,617925305,956689310,862555971,265978773,136339090,333432285,881060985,877977018,815917302,812815338,693104321,714780345,382477173,460345872,-1,146100470,935080282,81306883,3853175,438883481,-1,585260294,178725628,-1,909062720,660599694,612851917,515535532,-1,-1,791732465,634559302,-1,778450700,112709689,5376033,749937319,-1,-1,-1,-1,499508947,-1,-1,241695962,-1,59690756,484563887,563772396,341598785,738506203,176673200,-1,917468880,-1,204530381,383627000,-1,-1,988172828,500246958,-1,-1,-1,306590799,78808441,216502164,648048652,31108737,-1,288504543,402343673,320968597,785571135,53437038,359291033,-1,-1,880939482,505787578,205613964,-1,-1,246460165,558292408,389193838,422311158,213453949,123459489,574550995,553906916,672226678,-1,29451313,110245864,180324673,69060664,145974288,624896972,673298007,832918730,724902772,-1,-1,-1,852667224,-1,378730225,147153456,62883998,-1,942871306,385159295,81797684,92109038,702235106,-1,-1,11787313,494380052,489703627,-1,-1,618142634,889767016,937925002,-1,-1,173922400,741411962,84339057,-1,-1,353330729,559212598,220465992,355021387,-1,860291186,50729291,-1,-1,711959597,718870961,828150027,-1,-1,-1,724131842,-1,118250732,871097870,-1,-1,709881006,-1,-1,-1,374309359,490516979,674737255,88627464,-1,405110229,-1,-1,679503961,628832246,-1,90565457,364467688,511299975,173852508,252767311,660290437,-1,308469119,-1,624052953,874258603,427835957,858045513,450702383,674753188,784035138,195472792,787360406,-1,381088739,107459309,-1,627039655,890381892,105309712,-1,476948810,882199360,-1,538609200,611641242,907693747,472105162,279290474,737348331,894189802,496317595,611947152,-1,695431233,459655522,512225424,153696533,305285726,-1,-1,68762945,325645935,319577127,221021884,761788752,-1,745954965,639362414,-1,348496954,-1,-1,-1,939217274,-1,338714206,-1,-1,446048740,889488539,48653990,-1,952218563,-1,567241090,-1,-1,-1,392859406,215371613,234784500,-1,886575584,447819687,821918542,38697615,810052211,791628185,-1,-1,-1,681684839,137835748,323088428,133980699,-1,240318852,522572808,-1,839955776,606814213,303138606,155776776,110194829,350892973,461122239,-1,-1,961701241,987248975,539633392,-1,-1,481524056,165874039,-1,-1,873963654,-1,-1,-1,752770829,379868549,406108904,160702399,-1,666069818,426176315,174469160,-1,-1,80209785,131735849,-1,281681695,593503547,350329890,704073900,346814352,546227159,594938397,770225015,623495373,-1,419761309,471949202,322435817,87185771,203165221,806207828,12648599,-1,-1,-1,-1,529911965,156436980,830753541,-1,63997593,976370727,883365098,668246074,679955297,623876079,281537226,500061028,871854314,-1,622164302,538672222,408874380,452339302,712132752,35591801,536264985,277416785,529773762,383603449,170159316,713710815,512553102,764402222,634094764,462573669,23565381,-1,497906607,690783325,244440917,-1,322519909,647087155,-1,594237874,970499466,480358818,242701433,-1,-1,158487036,962114803,-1,-1,253407275,805081930,-1,-1,589682943,940712837,829565731,437536077,364276083,182746412,645758408,553262842,65049268,165159804,746792320,154529553,-1,586906086,369585773,184809329,776064310,229618851,682636225,-1,-1,82593912,749616296,-1,822443388,-1,851037621,845311585,147745125,-1,459382652,960114399,691218719,762222045,-1,793483778,-1,1330426,346939596,-1,-1,543788783,317825354,-1,-1,319748487,-1,851200887,939007965,-1,901628450,-1,961378364,947677046,-1,428855310,985075626,-1,427358218,442895130,-1,158298235,944003189,339148425,614992308,-1,163793841,276739861,489926811,-1,-1,682833611,-1,-1,-1,-1,453464273,936691968,516434052,612395113,524488824,-1,418005018,-1,980471706,278453593,633130747,561110577,90597801,14361629,820966736,751081648,989605446,966275852,985974123,-1,982317817,948324684,-1,472730077,612437394,487463941,440709391,-1,41545141,970054733,739196087,-1,-1,634056058,-1,-1,733715904,508715304,333121974,149301928,52722605,-1,844875989,-1,466112735,582880663,672791775,487548678,244972661,212166279,-1,860400168,369653005,-1,855035130,305513499,-1,-1,823799221,438106884,815315696,753641384,766644670,757729423,-1,-1,-1,622359293,333941598,603571415,598578545,-1,370337508,880971287,258613435,820795638,153379999,250804468,-1,80294590,8777687,357828918,-1,491163962,765332601,60074655,204895097,2804535,220880987,383745009,862370426,622695615,-1,713051738,-1,777339805,-1,-1,209109769,699290107,489433864,632754858,-1,-1,-1,467299867,-1,888455270,781298613,267554089,-1,872645850,-1,-1,-1,-1,-1,-1,747910480,865081331,-1,566181124,847463622,70566597,-1,615584103,79884406,991913164,201423996,186313409,191491836,176315692,-1,706827814,563547250,62735422,454423449,319464841,-1,291096407,161674215,773510645,678424041,556962170,-1,421601912,-1,219043779,174776598,-1,479560205,124279862,-1,-1,259165021,44038385,979654421,751030415,-1,-1,589256348,-1,269247559,-1,-1,-1,464044560,763671711,123408105,562531621,-1,-1,812557658,-1,879877640,-1,957494319,6444296,409339546,-1,-1,896202323,-1,822879374,754674594,692755669,507652237,-1,159817017,-1,-1,-1,776086034,707613534,183584923,233633422,461271074,-1,-1,136654369,-1,875117455,225612140,221265352,27930292,908805606,216840853,193242892,807331105,-1,981994963,-1,341609129,31122346,-1,-1,215308168,33082528,632374418,11472577,361059218,48054806,685629907,592189093,-1,-1,616202679,764145789,660426764,982310120,-1,-1,382104469,-1,345291481,-1,157156754,745471012,921907605,481952613,144239667,117612984,935249140,665274012,946288326,587690658,886122716,604841726,696443625,66780119,-1,-1,-1,965319439,59204950,820073253,394592733,-1,77026042,96618368,737400251,105538472,195940339,4225304,787644227,-1,877782167,726498958,646701568,-1,940572477,-1,251193343,63651216,974638620,329637630,-1,530649750,94879066,499456894,782913193,261018208,173459564,884530774,-1,-1,-1,57658643,304729357,-1,180049890,701888947,698676382,-1,319421073,70350700,397062897,295877607,291199416,-1,-1,-1,-1,-1,-1,-1,853724137,715382416,-1,77838960,-1,567365737,212684182,-1,-1,97177998,-1,-1,106990077,733306709,179300501,233581547,426972699,306524831,622480326,549056372,649444861,625930950,616115685,-1,609493711,-1,15979099,-1,6409291,-1,782328217,-1,53635899,-1,524365696,878469499,235724792,-1,763126844,-1,-1,-1,189842537,878542380,-1,617769283,917908109,335872011,-1,-1,392241601,-1,745719175,546241204,-1,126907135,76394781,90773286,508296632,-1,-1,527668454,553110007,695899230,-1,395189008,-1,709615481,477842619,705822592,33871840,-1,-1,-1,-1,973101342,191700425,273310671,22712167,728780206,163823890,701574206,-1,205872743,-1,-1,188659627,30712987,-1,331959029,454006274,749115234,590006118,781546730,222940630,231507679,-1,939411738,885528109,-1,180310734,535564749,621868070,-1,194900090,-1,953115169,648464995,369087657,969255284,-1,370481573,614265770,116459781,-1,-1,-1,187740252,661068844,-1,251624771,229593506,280570690,-1,17864784,911333422,6678243,-1,156024514,-1,127063246,-1,199092126,-1,-1,206818268,256557359,704816075,-1,741676008,685377855,-1,474732525,949109928,-1,678436678,-1,294318520,757552169,797748592,893741782,644554985,447740227,225967047,371624052,96103668,988391958,209947038,256182410,590119033,805533469,898688691,292672273,136131719,-1,-1,415888819,953721264,154080472,990228341,26784963,461062387,236089184,435314942,-1,595120499,320172628,557381512,-1,-1,-1,691572659,786855616,939425932,-1,135530516,366138791,91564554,491221407,78150024,650583800,-1,-1,-1,-1,379186642,239147878,-1,-1,249871188,982707694,-1,303349047,994708361,509199682,610087589,514929851,-1,707047166,250198874,328598499,-1,-1,128154328,47720491,-1,992440588,660832643,527224233,749423739,990509344,-1,57567449,373186925,-1,299888326,756137787,745374408,618374011,-1,-1,-1,35335286,970238860,-1,-1,-1,-1,-1,458103215,-1,531005511,90890190,732841470,910230702,157681007,38718335,742620518,438786602,23278447,-1,788600646,28481059,11773071,613266828,318442688,273000468,-1,712719420,-1,-1,-1,-1,-1,-1,920861239,317157822,483839298,277383564,-1,796674101,509637537,929851729,-1,231746398,348433751,314763335,-1,329193084,-1,-1,378454985,-1,256890141,182200835,-1,960865568,560965292,303173430,-1,-1,646873201,906748265,120114497,974158801,941856430,477377126,147046885,619347391,588447318,-1,436505618,-1,364764053,547276559,-1,-1,313241378,407672089,-1,54586508,-1,-1,537608821,259914125,-1,331313478,-1,116977488,911425639,648063739,615251940,706203459,227196848,234587512,-1,-1,272908233,252016740,-1,-1,-1,281593934,-1,131091630,-1,-1,450308975,293541223,412344638,-1,-1,989979525,283218957,526183745,185522750,180396365,860932785,-1,275701355,-1,843563287,-1,949112354,60638215,494741734,-1,-1,771376938,-1,706513270,-1,842234669,818510447,47867005,6669647,-1,306410968,815876715,779150370,6967638,372642669,160924719,956469301,526832632,284473045,-1,755255973,139142941,928146350,845810963,-1,305512306,-1,-1,-1,693727254,-1,531703008,740881484,-1,239752530,496304192,951329618,253194939,-1,-1,644914135,872272200,550629269,965101178,674836468,-1,-1,676280162,-1,556628617,429145885,610737102,476293234,764982776,287449169,-1,405099960,577404077,441239405,524792016,859001093,-1,825845464,766338823,819462522,993291823,889240565,856307086,-1,228918306,-1,102786776,-1,111770573,883252643,-1,42102392,-1,774528820,128440603,460426179,838835612,432174736,-1,89350427,61593150,73274883,-1,348772074,888342222,321201026,242841912,94280782,190472097,878343617,-1,-1,332784098,-1,875900456,478232485,-1,722726551,811320218,-1,748753210,-1,891892561,740167156,667344435,879277517,115809703,-1,737335567,814346255,115766597,178751129,-1,-1,-1,98821646,-1,270562949,294292422,687130280,-1,-1,604840887,-1,541368335,211836132,-1,911710848,847743212,195512828,260280320,663331549,185634168,505292049,98335688,273216716,-1,-1,383964247,324139757,858198353,997965553,-1,305689223,593486424,-1,683599974,908941459,632248751,-1,-1,784712227,663089009,848875305,69472402,630148468,856698995,70653237,677200140,397211703,-1,689887702,624278728,443833639,-1,-1,-1,681201333,-1,703185325,664029115,449983450,-1,-1,832274615,249908387,248053712,-1,194612491,302373054,-1,-1,120568019,555743798,843649324,-1,340284778,330543629,29872945,619551398,428509734,-1,-1,311308236,808967767,527096728,325315769,466475353,-1,-1,790558450,200881265,956229123,234600215,-1,863641810,698473872,-1,188608075,640794203,96945412,-1,951776027,-1,1938476,226496675,653000210,573079181,267318255,589780970,221567882,588244403,-1,639880864,652032192,823485021,662038748,762054987,-1,691457686,568374139,-1,91396936,-1,195181355,-1,378128560,278919346,736897871,844510764,865231007,712732076,-1,117011876,900269074,48634420,361201880,-1,431894776,440452957,317189171,-1,858188290,709312010,42722126,552130133,913292336,584562451,112521855,509617779,988458206,-1,788676201,729272504,860793633,-1,-1,478905813,-1,694565322,-1,791980958,810514565,858380844,391293751,-1,-1,409851648,194798971,-1,-1,388626199,358605966,-1,252383799,-1,168587025,873764867,-1,-1,-1,-1,70161909,-1,583475813,537794628,-1,595563973,863522157,621033530,-1,400841085,570302322,-1,758730025,377463523,40606064,77449478,-1,344241552,591527448,996367917,953832744,736715916,417424706,667117342,-1,556400775,602629847,-1,-1,428661590,512165926,89642440,854654438,-1,124386588,885781173,-1,787320452,-1,-1,526463127,886657422,523382733,202785968,-1,-1,811040764,725730447,416514146,276534798,823931541,801956224,387433404,765503646,-1,-1,752010663,177806365,-1,-1,752155731,-1,-1,-1,969485555,471761467,544100711,256690117,159193424,-1,-1,-1,33977159,292428246,879122413,636091251,705067670,148689831,-1,-1,688285490,-1,32293821,-1,495292076,-1,639299593,-1,391358644,175702897,410327193,-1,353288458,997735627,-1,-1,783072954,-1,228047159,193999161,66691671,673194530,332202828,240635500,526541435,5161056,-1,527474844,994054230,-1,532625965,24681852,261430795,918132585,321634760,248059017,279725403,781197586,601177302,119662659,544775063,-1,388672745,-1,-1,558535099,-1,708159948,312391251,330730146,-1,73535299,2203456,558252726,918087972,817655156,727982758,152133883,-1,883834453,891307428,744130292,-1,-1,108637964,-1,-1,-1,888697085,-1,-1,797703693,367629641,110048579,107465735,199931027,273977884,418156987,698613312,12743145,14552552,698607880,-1,-1,-1,-1,706688664,129881521,278744941,446357034,39472234,525405556,-1,184460179,-1,594732859,768969278,-1,224520832,-1,157119772,964523228,209290688,647074898,376443261,-1,865062326,374484880,542820997,-1,-1,385188122,-1,602504672,725144745,-1,175091878,432507346,370440745,663288169,-1,812567228,456167144,969744247,681771572,-1,941021221,990960199,324330354,-1,719500109,651275181,562182298,-1,776540101,33282740,-1,335610403,-1,673587923,-1,721049555,508761144,63667655,484871097,9754360,541038674,879899066,109074822,682656646,764357562,853061369,496062436,-1,581770996,370138314,217711289,128334042,-1,727163039,585191582,617703042,50188458,929881616,74297044,921620163,127765073,-1,678215017,-1,194889121,409064347,330130579,439331705,80340636,-1,667266764,937150447,-1,186967556,-1,-1,552712543,331311258,146315680,651954249,144341638,673190601,951913996,832081088,258114468,538966144,434163285,487319053,256128229,710661137,-1,2598853,981779953,92613821,-1,-1,903200256,405292575,951232048,-1,772489447,-1,710457526,731501420,-1,213351229,70793344,656460660,108975162,268202329,25324895,790280405,262937795,377469274,-1,789778141,49795243,-1,20708664,-1,610286278,259205740,-1,-1,591151365,422035448,666980349,918835892,459916470,139333429,467524737,-1,359448495,421089328,-1,602305013,945891233,967750710,-1,812628991,951140566,757184668,255774246,-1,29699062,614264225,855421904,961312664,611544827,134254966,492460180,452051055,966865643,-1,-1,945319814,486268200,774169811,939639866,-1,91390492,-1,-1,125235954,131260051,409999578,-1,103429664,-1,-1,82517011,446766411,-1,673405107,14544100,814269800,427224830,147976329,350180833,-1,-1,-1,419836353,297345290,-1,606375489,238733936,390243601,-1,332098089,323146366,719430385,728402916,220415691,19801599,440673064,-1,34916694,-1,409248427,-1,583690644,201618167,858604560,219807040,211699296,653697981,964330779,-1,976857721,-1,805727843,159368559,76026056,132151071,-1,672897758,669491815,28692107,153322893,955225586,-1,124506319,956615220,-1,-1,-1,530955262,-1,731272458,283664029,732244638,165458799,129765348,-1,-1,-1,267871428,952457577,-1,452959123,531482434,587612156,555019139,550728719,812085285,-1,119912617,-1,483900429,-1,371695676,134337567,229669793,904763368,282560627,156122431,561212996,444905954,976034721,-1,-1,-1,961827629,585027087,797815785,96817387,-1,-1,186083452,607108920,89961150,123388544,904942809,263052765,974676820,342794454,586150114,-1,-1,378940534,664590923,942947750,87651896,-1,793869061,87127768,462677392,244757919,-1,46686387,-1,-1,791559712,-1,-1,723131462,292785064,291820923,838223670,695036800,824194940,934625812,216338844,284698489,859292881,775159808,358058369,643011744,261001590,-1,-1,192875993,460015600,602956568,-1,305156712,814973940,740256908,342539582,-1,-1,129860608,750447330,-1,-1,862597389,573486066,-1,-1,462003503,460898597,14450676,649845097,-1,-1,367346943,229523376,603951412,490273709,-1,-1,402622298,302596399,350479883,409458110,987667385,-1,-1,976249753,22758314,-1,688063244,-1,679787970,689655291,-1,411233017,966943137,539289593,298529758,950204883,835584659,796770477,669777717,942984497,851268368,79055045,141923091,135417156,434313387,115678086,283821415,398582422,58391327,334059942,984960551,866333322,96386711,8756464,103264060,154000727,28752769,-1,512884488,-1,-1,860232474,-1,-1,965789759,174238937,578002169,658433796,436866551,223660899,951639522,-1,776999511,-1,776542137,812037122,732955606,139890010,505171823,935154832,245335150,638378250,722065971,420054111,-1,-1,941693163,-1,-1,368483092,-1,-1,136950504,507640161,477727401,-1,213957892,-1,915897951,-1,907149427,-1,22687798,755419197,324677013,200709302,-1,63295306,347500513,762104195,501440581,-1,505757574,-1,-1,942635776,847859554,-1,610037153,16112151,299124679,658349756,291693506,358762891,635604701,522013157,276394917,344413839,169007563,830631951,148988308,597057269,576714559,162103758,128782907,-1,492915628,448982311,296959451,341559130,703713040,687250920,931980629,489408042,-1,436267858,680640604,555533751,143930131,849372360,-1,71966298,998518107,913739239,654822197,-1,321850054,-1,832198860,696849880,-1,682032763,-1,926327212,472026821,476106919,956745690,-1,989266779,696176720,435668207,907321892,-1,183968668,196904866,995142801,62211656,-1,-1,-1,931606597,59849959,632167448,-1,866498759,437101796,-1,376945083,-1,557279943,-1,778095518,432215982,-1,259219226,369722842,-1,-1,-1,63069921,936236682,132621267,846736667,-1,864850756,982615856,-1,896252357,25711670,681072116,-1,168029343,425312075,210609769,518645265,241348125,154054598,179245938,88501044,409489571,341274326,-1,228183519,549674072,873389716,669615741,874534760,679140833,985171732,958673629,90425737,-1,450442940,377360975,769384065,-1,983129947,-1,225645310,411092929,627587888,91905820,993108425,801278767,-1,-1,-1,679569644,935809726,-1,-1,-1,-1,826954684,611821246,-1,-1,150820387,14616140,-1,546949734,852259649,457895328,625299943,381181662,487335140,868550989,-1,46916954,-1,-1,925006023,480534695,197108683,468719315,-1,299591936,-1,452276798,316948355,-1,981498335,308212441,544662430,-1,181152060,399690804,697842654,641369614,-1,393986602,310823289,928482314,406992519,935687081,-1,963007628,202556058,962855620,-1,912146348,-1,818693939,-1,-1,175900478,-1,-1,258174108,625774802,414653490,30500827,230091564,73218290,737210308,557991028,-1,888817395,-1,610668908,-1,217727938,-1,-1,-1,738183191,-1,-1,-1,433823292,-1,412990529,488290748,810206889,-1,492140669,-1,240863935,-1,-1,377450861,435531568,-1,-1,223930908,840720439,-1,554590720,431437810,469675799,-1,115558142,317592935,-1,693210377,-1,54722108,718908958,341964402,-1,863881117,646726066,313442521,878598789,-1,799721483,-1,460021601,-1,-1,353168105,-1,707881385,837759527,963497765,961291189,-1,630902692,50122141,806338244,785046091,943341717,548852555,-1,141253561,-1,-1,135049137,621941609,606704934,176893829,440340780,-1,541270066,-1,-1,-1,602244408,-1,555145356,794310275,946574587,961998311,-1,735002204,936521141,-1,224148295,847123964,285806349,-1,-1,575937106,-1,716274273,681817106,667942694,957078693,-1,-1,236006629,808548395,912058991,220867842,-1,860504426,38144349,695063826,-1,-1,-1,218872980,-1,526619780,-1,287196608,299185574,-1,743474309,631370571,538449224,-1,617399150,6569389,132262004,163903153,-1,-1,441028681,711130828,586338280,194292399,923323160,-1,-1,750652778,-1,614775610,-1,623382870,778409869,422759576,-1,700873514,168252171,162138097,975396858,583912382,-1,-1,29726082,-1,-1,655133684,677313057,-1,698267631,891326098,443349206,987969645,-1,739856207,949878130,759096717,506376300,305201632,646448889,669401094,-1,215927498,-1,-1,81958772,214174068,12528641,-1,692842546,649856196,-1,540270948,667260831,76104568,424922153,-1,614065395,269832296,-1,471509686,-1,-1,407402342,-1,896817580,652817076,337807247,46381756,-1,-1,869824864,90440130,-1,507492848,164335975,648204666,743800522,-1,238688938,-1,924454961,390283126,-1,137073942,-1,145765752,-1,331262916,799656062,555516613,505834151,67545280,246625299,196602130,815337201,102720489,-1,490836220,69953812,727971870,604905501,355402008,438534187,-1,-1,-1,20379991,-1,-1,-1,512765276,-1,169859866,425781792,39478919,808978728,-1,725346547,37844493,613572307,162339908,392086069,636187924,886772381,784064144,896053730,98362068,-1,-1,393131368,141026198,953243112,850956772,767312129,674875824,-1,423982365,-1,548637685,-1,-1,377495185,879801627,-1,-1,-1,376613118,628367504,-1,-1,289870332,-1,-1,209021265,690898093,-1,890863096,-1,-1,-1,-1,-1,185439399,90496575,381140456,321889496,480470242,348111710,206716141,-1,-1,325596855,-1,342192610,223943935,244878971,-1,513339203,554865455,-1,147405629,778508962,785365485,-1,942798049,-1,676741554,558375690,-1,-1,135034237,-1,370190742,-1,206340781,422862333,965490124,-1,-1,-1,115494421,-1,-1,-1,-1,800656426,785105246,80645201,-1,722188907,562217454,39326066,333918676,-1,403863192,872601042,359296673,497702617,209842818,67609378,665182167,-1,749356410,102095609,465323889,-1,-1,576373715,282458188,115028248,-1,299308706,314078070,606407505,-1,910959165,913718539,-1,-1,625028683,41894384,165616893,316292969,-1,710474229,91962426,-1,-1,352017175,233683409,703066660,589709860,668830673,393962215,537550853,415753419,405865499,745324255,534889899,-1,-1,-1,266479104,-1,-1,-1,-1,55271123,115261704,891703490,33587609,796562517,703010016,-1,535526761,134028640,-1,941002505,-1,582586672,302951262,-1,944383947,330208099,875195293,-1,-1,573574826,-1,-1,345560471,520688896,-1,725020206,697859064,-1,248706740,948750506,-1,494271050,-1,-1,550674391,566313046,-1,901291633,997660345,459081633,917076413,-1,896817235,367983527,538882087,-1,742335463,-1,-1,288617912,523886964,-1,-1,74755199,395183072,-1,52001610,780902207,249401034,978259482,-1,863245975,783766702,-1,-1,582632382,521432608,489180370,624153302,679647211,478068325,-1,69637645,863386592,-1,615972015,493211243,727683929,879037012,876962250,49767931,288189862,618968613,724315380,992739240,448588287,652235351,583874574,-1,542454209,814166079,-1,-1,290340764,-1,-1,-1,908746972,900285774,-1,514596086,567633183,504750160,448257549,-1,515984626,807835681,758674702,465504632,-1,932442942,411985446,400590013,-1,82791948,-1,187011339,847089508,570103468,-1,509914430,451423029,660303058,851753789,267944190,766651131,895664860,-1,617232259,-1,412840380,830380722,21674036,518529723,693722437,520699712,-1,872435906,629478416,458957980,62977893,485827729,612791745,129810834,-1,955116879,665330665,69772136,863385618,576422343,-1,-1,-1,62043794,874667448,47309278,-1,-1,-1,-1,-1,755639151,-1,409065275,29545889,582997463,-1,906527116,-1,568873624,947395145,369780100,-1,-1,962355496,401147419,-1,655873636,-1,-1,807358631,-1,489525818,931107010,-1,-1,214776040,965403349,946111061,774759483,799688369,-1,963716522,-1,-1,-1,115788011,209926240,886674515,-1,96387221,628513106,-1,783236881,651565469,-1,165942244,-1,896188766,974635557,69832510,668397938,406374,126167358,32122984,466068578,-1,-1,170173030,815990321,-1,-1,385619776,-1,156612925,568267569,67641337,-1,41685981,-1,752697731,581149884,307893249,331346326,904667608,-1,291678628,-1,-1,-1,614884851,227176572,115920288,479168675,978688868,997252673,931778619,-1,10738461,584943256,-1,169877667,575193749,-1,-1,-1,-1,150642211,246684665,593539206,-1,45177390,166858312,662852736,122779551,211358048,-1,351881298,-1,55847607,449049257,156879718,-1,128386553,371735176,648968973,826698502,249073375,980751733,392097145,642244450,708976185,277980722,957939392,-1,478410202,-1,-1,-1,551424894,126670513,-1,594641678,-1,847129248,471138685,-1,402216080,314856273,726610462,592498832,-1,804106572,930168881,282203839,-1,763359282,-1,498733751,-1,328590830,25351271,-1,-1,-1,200886942,-1,214130860,-1,392488632,593441182,413433260,213225016,-1,935701335,602000655,550057788,286749238,536211206,888649110,394022726,646543400,-1,755871547,395794742,329199242,240789234,-1,980851476,892282954,-1,290261643,-1,525542593,266574619,424094198,-1,-1,43936048,293823569,779830206,-1,-1,-1,778534405,241555463,351010167,-1,-1,850423350,858246322,-1,-1,723355172,696860260,-1,191982329,-1,927835737,-1,596343051,-1,-1,694671300,441472571,647898453,325251523,217033871,-1,691129000,511008883,-1,697537189,731577126,-1,-1,837344829,624542221,-1,-1,978034476,-1,889812755,105852784,213647858,456043904,732439699,724205069,355475047,-1,859650265,761319117,60796914,38432511,-1,-1,-1,645379239,-1,-1,831432388,668043549,352527874,584532341,-1,-1,485657626,-1,409810143,406937554,-1,570324705,314100633,-1,541540044,55842247,997842736,980168829,648277901,49631041,38077433,625431901,3984080,143525752,169914298,392856718,-1,698977396,300432582,417317474,844244608,-1,577904472,682329649,-1,740232774,801921531,-1,-1,854522812,626661383,398182822,454676998,721886219,715644791,-1,-1,-1,738402542,828021305,417468107,481629196,64217168,-1,71279352,698446999,-1,449969634,572679791,-1,-1,513311061,571085514,119217783,173112434,637847737,65445520,-1,166683512,956186074,-1,-1,-1,572690083,961479287,877578400,-1,183160842,391284462,886302002,412274883,437918010,5630323,559218516,704977933,369250421,22769335,221090043,-1,-1,367999542,165632310,575855261,517801632,22734165,-1,632665353,482249662,531447638,-1,-1,337782494,645142216,-1,560956570,771268484,832111484,-1,-1,457801992,-1,619660534,-1,298180609,820796224,642288473,-1,398159248,-1,-1,191189758,752610215,594641599,355547488,-1,-1,-1,-1,-1,-1,377493311,-1,958590771,606800127,215039319,710744681,824578369,75013107,-1,40190855,978516291,531212422,875235671,-1,249597924,-1,647842724,-1,-1,-1,983643280,-1,-1,335175453,106706690,22395540,-1,-1,440573456,889536660,247551134,-1,368669588,375081580,233667011,-1,-1,807389602,327837640,583161670,605012961,983512961,-1,623235549,681287549,667645664,-1,-1,202886265,-1,118132230,-1,256298405,-1,49088228,17276220,-1,540136440,-1,189518425,-1,75957257,167077019,701902599,805164352,-1,290909232,520304923,-1,726283233,155680788,-1,-1,623885562,20321917,238199708,-1,-1,-1,159042150,854265491,-1,-1,-1,-1,649669501,-1,50974759,507175497,109702167,44936084,545617937,319701343,-1,-1,601890111,-1,674379199,17698045,-1,-1,516437772,-1,-1,840414222,-1,10446329,986875299,115976764,480294427,798840083,679003051,992416528,135372623,820431456,792608612,769746556,874918591,740226005,683142052,92880084,199279385,125454774,-1,899969206,-1,-1,127743546,-1,606551420,493204243,-1,580549810,149958078,-1,-1,255507881,425496035,-1,-1,-1,232714914,137922224,-1,-1,368388174,239001042,187084211,-1,-1,590124938,550164040,692202468,-1,40872029,655952432,409092799,-1,-1,-1,592623869,722047567,-1,7755564,315363890,997583078,104770471,-1,-1,182498281,-1,116164249,591419066,768452160,218417658,796143782,695148784,640953560,216866943,-1,-1,-1,485075303,53907584,-1,463584631,923472668,-1,162509777,478776763,-1,836599708,-1,1152525,440768136,-1,-1,439643326,213968076,-1,176050885,961434486,974458760,-1,746407197,-1,164844369,-1,-1,-1,839983349,643328155,286095821,-1,-1,-1,-1,-1,716404623,180923936,929938046,816415052,-1,52527140,358622192,248381127,-1,-1,814266046,514427995,-1,747955741,455676366,158491757,632342098,781245235,739701204,-1,86364591,978735068,336804701,770134251,246920051,244065027,897108560,-1,195065501,776168707,869643362,571028443,643851838,65335709,421848564,-1,498364485,-1,557044958,820133356,-1,798575269,353358501,703951500,-1,771748183,881175838,-1,624830798,176235151,591616692,932686208,-1,-1,341084608,-1,-1,386401657,656446273,-1,-1,517984166,-1,-1,-1,919764917,458942667,-1,-1,826056954,259187824,-1,-1,-1,593300127,672290824,448032019,958023668,-1,-1,-1,-1,77924415,-1,-1,103513346,517104160,-1,929929214,262338233,384037563,-1,485389895,19046865,362749066,909914762,-1,-1,639316109,-1,526578399,-1,297987051,637935698,479481405,-1,583688155,424133555,-1,-1,-1,845746747,-1,3671378,830145583,999542722,719036145,894592465,541853219,980876752,497514503,489046789,255649125,52528138,971999057,680076555,79980375,226968260,-1,939771197,58369549,-1,-1,261213625,210227757,46361868,410365481,4826495,674659901,553093725,539108088,21118189,213785570,91694428,-1,279576609,972255625,539661215,406519067,667268564,370855605,782941273,992393062,-1,349184373,-1,829341377,812458862,-1,-1,420520275,-1,606652287,578326351,504394198,787946450,696248035,34564769,915619896,-1,457951311,-1,313877821,564045799,798945006,21656143,-1,-1,67190327,-1,113841559,-1,-1,27636209,267965288,481601660,-1,690328890,-1,858473126,593095206,-1,-1,946569027,-1,191606680,801724472,-1,-1,281717559,-1,123297532,475215299,919732265,-1,632202077,334687151,205923700,252077338,-1,-1,765592488,-1,963117305,187192845,914352571,-1,453025025,474052908,430411119,888228715,97680740,337944385,581578193,-1,243484711,293672040,289867850,154859796,849775479,266383932,138712205,82912933,-1,-1,544372382,326969376,893320978,973394123,-1,-1,143067237,598456317,-1,864735867,69548724,17511166,729648781,706566362,854015362,648524443,743285351,301071243,756542879,709836150,263603820,297030337,105986956,-1,548070987,-1,70597768,979600172,100256722,-1,260969148,763056493,467817093,-1,-1,355303347,4924691,569167524,800304005,-1,12551708,203214670,152881786,11747887,-1,210869199,369634381,-1,340023750,-1,-1,921840784,-1,-1,-1,321242730,491861285,-1,-1,487574771,-1,578915354,-1,-1,480731858,-1,971720246,-1,320560261,456257125,185068771,338963727,-1,980430490,977697565,465850910,595274308,-1,232543976,964157636,-1,740180504,153149388,-1,411128260,743856958,2529426,598099161,-1,735915892,485277839,397326316,34209385,-1,69324318,788535342,635648689,462014497,-1,998311189,309771696,-1,284464839,-1,418176945,-1,-1,650457861,4785195,231670575,-1,164795897,496024909,-1,-1,512064474,-1,812864058,511999651,859338061,-1,419276642,35006139,-1,767456384,876668779,632124775,536414606,291281737,135968565,-1,401769725,-1,800726322,-1,961994170,590299724,813199361,86323261,400100378,769170301,444778738,-1,721735323,987237551,461739424,587770500,913969504,930534032,-1,363630546,5329407,358131785,-1,369487087,382892348,730703378,-1,496573839,-1,329376229,957053265,-1,516451591,-1,66486305,424600845,-1,837492503,-1,-1,-1,901938824,-1,-1,232602246,713463718,-1,347178899,-1,936245071,542739624,-1,-1,832987407,822651210,200760448,97504528,603705945,310696117,293205089,-1,788774417,962155378,25665316,438207176,461059147,459631020,414568468,291060452,779927424,149044942,389229357,-1,95655935,97661436,11401466,311228682,582818998,-1,914536468,710408964,665617796,-1,796413889,-1,-1,-1,-1,-1,222053112,56191021,657337061,155170647,-1,555888776,-1,349919451,-1,-1,-1,846648291,527203147,171502391,-1,-1,-1,981994849,648635872,774377082,758935422,-1,-1,717287472,80962191,148870766,-1,957922494,933154587,691920930,-1,526303033,155370184,643672297,816656364,361721220,416660374,-1,537209748,277521245,387543759,-1,618780357,-1,858443741,-1,-1,941586586,984086790,500040635,121626474,943803925,494372832,606553600,643186710,358496744,537393109,53642620,830169059,413181311,265292898,13737213,876940593,-1,-1,606219420,994491733,342153864,878995122,-1,-1,583558285,395817256,389015259,69903445,482495224,61817310,412010481,87827161,632095631,-1,906201443,98894816,805104199,369425429,-1,411976577,935296675,-1,325663604,-1,856809646,-1,-1,152301639,339063026,-1,817816002,-1,432417735,814552682,919222614,-1,-1,769822359,-1,-1,151125735,798705182,259290996,-1,487485373,271381842,-1,924135635,14676317,368330197,530733709,33252059,-1,-1,697742967,966035202,233919543,-1,900535532,-1,888700006,163077949,98239433,-1,161641208,931573619,812590943,152014989,136003177,300192124,201978939,58646120,-1,-1,-1,417992739,934821972,633103260,356769451,-1,-1,-1,626214793,347857121,723414711,612686342,181949301,164197361,-1,665750813,768155847,394190227,519850214,302817270,285879128,329674479,-1,338633884,-1,114758059,752469275,868448541,187794746,288041040,158780411,-1,-1,421585894,177651480,642006976,-1,344487715,577596757,55209536,75005063,555856688,925745188,-1,-1,908150349,334484019,-1,548714228,232652346,90644776,918786526,968304942,896151933,510624432,141186676,-1,-1,-1,-1,245546965,102634946,-1,976794384,708897561,-1,189274338,65228509,902704813,-1,-1,783898538,-1,592447739,-1,46063220,-1,203080225,-1,918801641,889454583,576811591,876109400,588639128,589334838,845594041,-1,520457608,573965895,154704735,-1,680669038,-1,84812937,574894771,871288992,204994042,-1,592524903,-1,784181062,978079907,400371539,-1,-1,-1,15369797,-1,709093618,88682284,-1,608282852,730991243,403490010,705798124,688092175,359979962,862473925,967624762,-1,877382349,855032509,269180221,19022802,169819747,216689041,293051602,332335505,720663688,686331683,-1,-1,101399294,-1,847081642,824020807,-1,-1,667176673,807925629,558195193,938769168,592366655,170575215,-1,-1,787758285,510532373,799212980,42276858,876420177,613048030,824636474,462791196,-1,402009756,648688805,930688928,-1,-1,970182669,-1,906225001,-1,919547453,-1,-1,-1,9910181,912220225,929923950,795599735,779625367,501620216,222349055,864750954,902724767,468569065,108699091,958225308,435179319,-1,-1,247502455,445304920,-1,318383669,778065085,-1,400408465,80234484,536957304,156840584,-1,271748590,904406256,272151835,70834293,493945368,-1,310940844,328754903,712374652,403982669,-1,213892006,-1,475152941,39217140,220517805,-1,527582517,581004440,939121443,-1,457415793,-1,-1,542920749,679266623,17107221,-1,-1,148098300,304438434,264481040,-1,6544073,822222684,367759970,-1,677727550,895876892,-1,268703600,471508320,-1,-1,948862871,552679655,222114757,-1,-1,-1,671267544,895788946,231346502,-1,379088855,-1,950666240,-1,918700710,155360105,935693287,-1,-1,-1,228842115,79276932,497065951,467029472,677544661,412393365,381159147,233569204,-1,-1,513280773,588461658,606528145,790189768,848116902,-1,768061219,381921643,365818046,-1,684877212,-1,-1,-1,762042432,986771134,236439998,-1,895109436,516163140,323270274,291385271,832484529,870604626,-1,7569055,399694719,596704714,959583161,86392125,656095723,505182837,781947063,114979292,437654562,953551611,-1,-1,762220550,-1,429764145,598093445,869505900,770514738,654750927,475243409,-1,914716049,674758963,999959503,-1,144563309,808938760,704300217,889911184,-1,570360804,366236124,237880315,887645550,802038012,820169436,533917451,522335254,127825665,-1,-1,295516144,69765971,688346703,196132091,-1,517786627,815932062,238304500,373300975,504482477,223520561,-1,431053828,550951189,518531858,-1,200166182,796598628,-1,190305674,-1,881218791,353589528,-1,62295487,-1,565561570,840304016,-1,16619156,81913788,-1,751133541,692409497,660423219,-1,765654396,612793130,-1,964123115,350015424,104524966,130613199,671853989,822543679,249095478,1980798,745435549,320237880,976688672,678509189,875177984,898702622,-1,67791369,608820925,954209782,467880424,176427891,124792351,357644014,-1,103397105,1110344,359512844,250495573,438217136,-1,5999458,737535031,153663683,425932254,173971939,-1,392091945,762682037,387588958,500887154,605319883,833420713,990789389,402051117,-1,980897712,19577155,416624173,-1,316025557,615786890,337754391,625595954,-1,-1,850846188,-1,614988047,-1,962846135,-1,348013296,271904058,884265924,885467624,152878380,626160255,892205789,256469747,709981601,-1,-1,538387226,657642454,727415892,805810694,72072474,190685048,-1,457868104,900428169,545514418,-1,-1,168639802,979160911,-1,-1,456444034,36855978,448661317,957124677,30447182,-1,138581871,-1,290506411,211966848,-1,430279226,-1,-1,-1,536598074,412659204,462382343,436048480,12384328,289487371,941598650,-1,104948711,762455995,-1,110264854,-1,111455111,-1,-1,646369572,588143358,727187020,-1,816043667,698059003,-1,288931725,-1,-1,875656921,498605813,513992840,-1,875961069,682995390,353086902,38138945,547852267,835684912,951122685,936542731,-1,177421338,-1,483106116,494930583,139248372,974545052,-1,274488204,-1,276937462,-1,913700403,607230408,987035503,345146145,-1,160197974,541902916,778122645,-1,881378397,522299066,366714685,-1,444922173,-1,216254941,343697218,626289530,435263112,-1,-1,231913787,621363187,861600607,402126817,996431534,76324132,343854128,236624236,-1,416148568,286487557,-1,-1,315923998,784346040,-1,273246467,111824144,-1,197857146,537315412,-1,-1,-1,576826566,-1,-1,861466614,271227720,-1,-1,-1,586908860,283723960,-1,890178042,987356036,878711174,-1,526261008,-1,-1,261829567,-1,144038676,648480096,542809753,538343449,36757219,392411114,-1,467890844,747982663,653263551,469720200,488742147,794561306,-1,320166587,293756922,52827399,819729206,12182822,14196364,168559736,322473732,535327552,-1,521444875,-1,170669354,828040498,733711848,941299153,983745786,432544160,590843597,-1,72916302,920468588,890626000,335007419,-1,-1,829011641,865002794,-1,-1,551380748,-1,209472356,188124546,485410041,213868799,-1,-1,-1,200610862,190053360,818613214,-1,319366741,-1,655994717,-1,592247098,977951790,-1,797813954,-1,-1,-1,863461744,991082309,217993920,273968876,49862175,-1,703307873,409517805,864664345,954430176,245835465,-1,-1,499001866,224253407,-1,633322430,277922764,505754971,950451967,-1,-1,593602945,691371943,695566827,863358958,567246768,557693248,-1,862093247,-1,-1,-1,-1,103579670,-1,433710894,124771497,894640548,572730003,511219112,776937289,46451530,-1,368640355,480778152,88586945,943933924,887055144,86934809,39688448,-1,146502881,819191969,358176964,-1,353781622,516148789,200772840,-1,198922799,933632002,473804973,747689688,-1,340207615,-1,608979201,-1,695289911,60568666,-1,-1,-1,177533286,-1,773375916,656288577,-1,161385763,586918416,-1,809201670,-1,794212563,345675832,567341837,-1,878417660,759042124,230067599,779471224,-1,198002316,356029194,-1,-1,-1,633612471,107567486,262443878,713472327,809359241,102091023,913414186,825030733,700718192,-1,131785876,-1,177390350,641768174,831984328,553807665,924072261,962717276,602508363,444769264,-1,935738622,879346263,509207664,263768652,9015526,-1,651204947,-1,440531283,-1,716544051,215200687,455438784,-1,305071097,642119447,313369837,-1,711113002,359860711,728793145,855305202,342056386,277875025,33406525,-1,663649136,819747285,437228537,359995542,-1,409177057,-1,-1,830261194,-1,-1,645162794,-1,401702154,708847169,213909180,824502195,93512868,479340089,-1,737621065,-1,474515549,915962483,-1,988935849,932342544,-1,270303142,-1,35731623,847645579,230440103,213864900,-1,276276919,-1,-1,-1,553285839,272222338,599762615,904616828,430050230,-1,-1,831072831,813902986,-1,-1,-1,984876727,708801883,798766949,925756182,-1,-1,928858799,132575885,192895404,643385674,231207453,264328484,387675044,826973219,479895293,560735523,-1,943217926,202778912,-1,-1,833538803,750637077,698069651,929072951,-1,253062236,975261246,-1,48208155,-1,997635245,24710172,-1,409822840,-1,327128716,504963338,741549571,123465881,439658798,39094687,915318264,183407879,-1,550670115,731158400,176953335,980653112,504385294,-1,436718044,-1,-1,672761284,663318136,-1,-1,779380111,939725106,641953089,16848772,-1,985850608,502768955,752338464,394878374,401965475,357354566,883822364,-1,230278641,-1,-1,930294658,760393934,608454599,-1,354455153,913818416,154983579,830448642,166213311,331222109,611440134,-1,326398057,124579312,895995819,84923190,67237764,-1,-1,637037687,742503479,-1,469642936,-1,-1,201658315,736655470,-1,360322568,709612455,205054064,-1,244766986,-1,-1,-1,-1,-1,313286357,998624706,735320893,248119572,548006094,22390526,180754398,-1,-1,934272569,-1,-1,854268540,453415991,-1,141932358,785931121,-1,399483405,239966919,-1,21841060,185951506,-1,78680096,-1,976821935,102977962,745487541,93014774,-1,391844021,-1,412536174,346078650,-1,373836282,-1,-1,151417254,637511743,-1,527635461,706051036,-1,258008310,896499876,-1,244307649,-1,747547822,151756361,839002328,-1,-1,-1,-1,243555825,-1,539209380,266519995,799416318,403046246,834706689,911722801,420801399,75563816,938567000,-1,270175232,-1,738561308,300660359,749027559,287123140,-1,571926791,432372421,414217403,714119462,529951718,567950898,961189774,434952049,436159538,-1,-1,-1,587630218,393429347,-1,816153802,301839417,-1,61837100,-1,784517557,265760393,44960006,581332336,203957978,877048767,-1,242169692,488877690,384257978,619334295,166604096,982121432,272881016,-1,978617851,363021301,41307519,628269267,-1,875552386,-1,504668198,-1,303018687,-1,118649790,966612062,952489286,123272138,-1,-1,423495807,451897148,521716475,847168860,983808764,665112001,-1,799273588,528336016,-1,-1,981232142,-1,-1,643574842,637852461,312020633,717974283,-1,189735193,795009027,876581603,-1,789116964,504711047,671331268,937409254,476652550,989420510,718140258,207443153,139004388,-1,514672005,499896471,-1,-1,-1,452934479,785910949,-1,293577159,489555597,770167575,-1,390884875,769696709,713412159,263094785,76702244,-1,164059739,373950434,-1,270130421,202811527,749906888,728119410,505097288,782209665,225161400,11517333,810965746,72088021,-1,987784414,650868327,426004877,630917516,10276560,871591148,183131148,305543430,-1,125206324,741756775,920476570,-1,466013390,830782261,-1,91344163,823960122,-1,-1,643956806,110229522,733207022,529617348,960746829,26570816,634751851,596903157,-1,642997969,-1,952160911,-1,-1,-1,760296932,725755950,142255819,-1,-1,948906381,272359378,569122360,238131962,-1,358230838,522174332,-1,90361634,-1,276075942,-1,500519772,564884752,-1,321870976,127323286,421397338,379380434,182001145,110902279,57384680,566274189,-1,70752436,955386207,-1,442216455,493079255,306988509,-1,19977752,336260415,-1,-1,978873903,-1,-1,324526590,125863928,-1,393360460,957895007,-1,433206991,776718899,789314239,-1,640667724,-1,-1,-1,-1,880555984,877172317,673884087,625361280,-1,-1,-1,790622530,805440395,773987576,758447160,-1,825295147,242875550,366568452,518173052,974274737,291731455,922015407,732452456,-1,-1,510856358,382122310,934260566,945507529,798230863,778960723,335937705,578592083,375343434,169691964,330975608,452622278,-1,412203392,766523218,958946217,-1,108734827,290390551,293083104,994971262,63788691,-1,414809423,557225582,-1,-1,-1,524229713,652744152,832603905,901274775,374181492,-1,-1,421305069,-1,390968469,286792041,-1,371403647,197494178,-1,798019672,756792254,-1,716206769,462822237,851289576,-1,680106027,945647976,936849197,975653477,362248389,443175315,-1,129071418,440812225,601541996,-1,-1,913329575,468719262,906930513,-1,500540878,647423831,908344899,10293133,165509062,-1,866595539,-1,571430300,277244103,246600202,332744937,698107485,579630139,413190887,275054226,609601813,-1,518188716,-1,951324974,747470088,940481778,208307882,253564757,-1,-1,376214594,-1,663560880,852618766,115664227,908350051,-1,581251471,-1,317268535,771974146,772958585,49859097,797316183,-1,-1,280882568,100086586,753216237,-1,-1,353730649,-1,598165289,582407528,936556497,837947385,-1,553213224,105228913,197480677,-1,-1,121431794,-1,-1,-1,-1,34584165,123856906,444040968,260812181,-1,-1,-1,530923539,202980240,782654923,489459218,-1,477347882,-1,65360141,888348087,697246669,565715958,-1,417601210,-1,346830993,829493374,-1,667703886,575020849,230485110,-1,-1,-1,864666477,-1,687972851,268399942,558447243,-1,-1,757425124,-1,494192574,216445945,875960823,320771451,581235180,-1,-1,-1,606265936,945631623,322648485,521623723,584590249,19549729,656775055,225623444,490299107,9679274,213367270,755498374,684898165,985286624,-1,199461604,606102510,685684262,566295544,-1,-1,316693787,378994257,733331184,991984390,657625448,218895689,757025528,-1,961794315,910332840,847853847,889287702,-1,694411994,96110143,944832169,989666438,77038921,359759657,463466930,106380362,-1,905997191,943861961,595368727,485506137,104482613,-1,976251733,-1,898559212,-1,372556134,87812834,745074172,156092049,836333493,-1,766997114,90617135,552373407,725449523,-1,-1,52035359,404480502,-1,736717278,-1,363080735,763549764,69268395,965282458,254224198,-1,409346957,921841197,905104150,-1,241252713,404139547,956377455,704906760,555905199,86611051,854416256,-1,-1,691907082,-1,-1,910390020,-1,864392985,225386761,-1,-1,-1,-1,981232921,-1,479658414,987943360,379618615,964266906,-1,220535900,64849968,-1,536287019,510384180,431902250,203616423,485115545,366794339,346414484,697779277,856685151,469878107,-1,610169327,334277299,438787438,475418631,588128014,896100301,-1,175539713,109980776,485523142,-1,70922487,710351015,104497641,441926358,-1,-1,-1,-1,900391605,717922138,504459122,798045176,-1,657594034,238452377,105649017,-1,386131465,-1,-1,273016293,155414057,599126715,276739108,536928938,755664826,-1,97178796,-1,-1,-1,490803732,716187799,-1,-1,801763867,-1,-1,7906354,-1,516754390,454138364,-1,874636972,-1,191915188,993434246,883759168,724097001,527693422,-1,-1,325145552,36818365,377480235,-1,-1,30201300,883319178,346759812,563929901,144909979,-1,152306403,972462497,114678997,389192197,710620464,-1,833708494,-1,873301240,66791077,156320863,787366177,628175727,355850558,268783140,-1,657979006,-1,-1,173981782,925421537,926104275,-1,521249511,-1,57437886,-1,412980619,874206920,-1,677185545,-1,998718643,50349548,485820992,-1,748149901,489659807,186574786,-1,493347568,435915140,575259986,-1,836532953,154240582,-1,446260467,-1,419957328,-1,260224810,-1,968770576,399247511,891967459,134003705,935705355,-1,517381996,335737209,670829246,-1,838506443,-1,-1,604281640,35199357,-1,352057410,908339253,985829128,332512835,-1,4245904,317666761,933570528,2248086,341189455,-1,698663614,522041436,60895584,-1,642598893,101959463,-1,-1,454486407,759077860,693805981,618696331,978901632,879054317,-1,165344681,183779099,864262562,-1,581066231,-1,488644912,191151792,387694400,584256795,822071043,647455779,928507938,444179569,860309852,-1,537455482,394257758,-1,716378222,-1,906905208,148232692,-1,507860965,818554501,-1,186341836,468179603,-1,-1,-1,9775857,270460135,-1,932254872,148626004,109909737,66702526,15638616,716662873,847158405,334360869,588401079,571779425,-1,-1,413116252,108279878,273997434,-1,-1,554125652,398136865,402914596,448515681,769552312,-1,-1,634786754,-1,835964886,-1,-1,263318826,-1,366279320,463971732,580608242,26400290,317825699,46700447,924498626,-1,-1,152294823,62266689,253259239,343859960,904607915,635941220,530402019,-1,-1,146370217,894229802,613016795,534766176,348918501,947537429,-1,500023408,-1,766623112,-1,542333982,927908641,-1,27755534,456192968,404257581,721079712,-1,-1,-1,789874512,143934292,420443354,251672510,-1,211503911,-1,690530663,-1,-1,151755653,801744059,357178734,6738604,561600728,797711814,-1,-1,-1,520420310,423317070,582069016,602803094,909022104,-1,859215038,902550062,79019288,-1,131745557,7008651,31652823,935234538,201137670,-1,-1,404875738,779647829,445497457,-1,237102899,882532212,32359312,364426335,666776925,800566797,-1,-1,816652816,256614225,674654108,538710215,530613051,186752098,-1,-1,709335144,337578023,580673777,-1,-1,368715271,609295757,-1,-1,-1,863274657,772649188,641803894,-1,-1,21778516,-1,152815744,550349745,478367691,496513783,685899601,441620801,840834498,181867523,-1,797471840,394775575,53253376,246079347,419135451,925425649,-1,-1,915681202,683159034,480746571,576670094,-1,-1,551619623,671149518,-1,-1,343984531,392065762,359653398,-1,754181110,774695464,875187046,285214718,60425427,-1,507443553,347491736,420938853,198417005,229752631,-1,-1,-1,56417694,796805922,281397931,-1,240187044,128123951,397129559,966833035,-1,-1,865181205,912866178,-1,555040039,958891330,428549647,-1,940848086,-1,-1,-1,608764964,565493733,332525468,984874043,437841242,864675774,-1,29378665,-1,541944649,733725387,381856255,519617536,924716403,-1,-1,-1,-1,882518660,386451136,657108386,45743751,793419306,343465892,967103788,-1,819702247,-1,189425714,62596694,-1,71131688,272114228,461681380,124120824,229454627,-1,231358527,-1,488040622,-1,-1,31833569,787674813,131759837,101597373,852539293,-1,640978674,800802245,807610144,-1,853613373,-1,-1,230534684,-1,107270726,927746886,981988091,476012855,-1,154240994,121034081,372363981,-1,364224931,62885170,-1,56141308,898304925,407678421,710441788,751960296,-1,-1,607467192,-1,524371156,393362985,746994692,-1,652852623,-1,494034891,261744266,952250739,694183561,801856236,228040924,710254839,566240251,-1,483624144,721591878,-1,947066379,770336162,-1,-1,380445873,391398315,-1,-1,221244018,961675198,-1,-1,620032586,445085022,-1,238348055,952887655,-1,830030209,946113044,905633856,72176149,74280487,863994249,-1,-1,287119681,453220507,486420906,307599646,271973951,869699059,421492892,159250938,231504601,837813096,596778049,-1,26576331,949151201,504328582,132364745,739985870,764004555,-1,-1,475674526,732618527,785307901,544859167,515453919,163982714,793494778,106421455,651645458,152132143,-1,-1,24715604,537588675,-1,204502569,-1,813988704,665196444,94633156,261712639,202719921,406829525,289108167,753160072,471941801,-1,973295385,-1,466986897,-1,111138878,744266502,-1,241185882,920779833,823185611,926397841,-1,736716917,283509925,643478913,554340548,653892127,-1,-1,815491545,537307010,240591268,114233148,726061311,-1,26655468,362261428,-1,-1,-1,406778963,498436219,323668450,-1,597196259,778968119,775945989,995211842,42045969,-1,106894093,-1,886903788,198574868,-1,696498438,-1,592774184,136809434,-1,317808517,831969948,137187430,693802931,79800103,939171429,446296861,151947189,848076033,650017902,412316345,-1,440710418,43829693,530690705,223655580,-1,76225375,897888936,780657759,231148791,720611697,-1,611781010,434311781,-1,197039840,570473374,310322553,945883610,738332960,561478656,191284979,6340069,742393541,610321196,-1,-1,-1,-1,621016992,731672207,310410640,867190749,126298383,-1,873237688,-1,622959149,-1,378736514,663255384,536365729,89243438,669496604,835936271,916147528,350055645,315522217,-1,57153295,316814994,325637786,953569959,316352293,624766541,456111721,-1,606892973,424177186,780561784,742659843,136224067,749567487,163010722,-1,-1,-1,375946441,718687257,-1,527189676,-1,314940457,909037418,775449207,45774302,-1,558811795,950594798,-1,797659156,417924849,-1,160823222,827557642,-1,-1,515595532,613538762,594290638,734364216,-1,528121036,688824907,157670888,828891012,272450087,5735612,-1,-1,-1,91328962,106745805,-1,-1,-1,540995801,901471032,718085195,740037721,169804311,-1,422333544,12351598,933365043,331577251,52079100,171164967,-1,650357117,-1,408384838,481777634,561683442,504378048,820245506,232225214,834100833,-1,939360503,933477027,439978661,-1,862417595,5888365,-1,653700240,855215718,789606398,809301455,666575740,-1,33177195,151954687,134427951,468255589,-1,748392093,23686260,60305751,414509767,432894797,232985041,444024450,468540572,391439695,859314387,-1,-1,713246553,275903581,114824161,659396036,-1,-1,-1,65220014,-1,-1,937355977,997755776,208721099,276408162,496022692,467604578,-1,343923612,301415255,40250072,136291603,-1,471216898,513591719,96465642,677419756,296358422,759194591,865897852,-1,917331920,616141372,907134235,332899433,625813322,750106256,987077245,859145745,529303306,-1,-1,363801453,72023691,59869990,-1,655630475,-1,-1,-1,276539988,-1,572368998,595019105,825017041,26849649,-1,-1,-1,-1,662221118,536047188,910629437,431128654,320288075,-1,721625263,-1,288481929,754054491,584764668,563474182,275074728,-1,481624332,-1,191423344,-1,253830594,697532771,405713654,317896836,-1,-1,-1,929315498,351895307,1883014,632594103,670106608,758990105,386900469,-1,482228788,-1,678240705,-1,937758477,-1,-1,560376493,-1,855214878,-1,-1,390499806,-1,-1,991101729,117716399,345377807,158194278,579614035,-1,842675038,-1,88743938,-1,501104861,16684619,93250627,968070701,681369926,545697792,-1,476542184,-1,944044549,721994418,962089936,774534267,-1,-1,79278688,-1,358531452,867355863,-1,876037846,-1,-1,-1,651889971,843646229,578212972,162968210,72983064,672746492,465750019,789974134,250067859,-1,11730259,910826617,25228533,645568163,795283858,975503306,724880873,953094283,164302651,147819779,618271030,5160898,561176112,583035605,-1,133359779,-1,-1,482968583,446756930,-1,366576276,331729545,141816632,290013864,432314039,728676939,952985189,643891584,262037455,410456353,947040434,837104896,-1,362056883,722109263,546452248,491176385,176950067,704305126,184464185,-1,964874276,333242034,450070735,-1,-1,-1,-1,247252048,764538676,-1,347351027,734261605,85850044,-1,-1,858066870,768528849,366800666,-1,672723577,-1,352530285,572858435,-1,245200620,993471426,267228688,569213253,-1,-1,-1,-1,813198102,-1,946378955,372532248,-1,807955477,476481845,26831475,474556120,9237088,431616495,-1,775661876,-1,926614118,630449979,823449055,633368932,959759009,470708813,929362047,259525863,-1,109160163,711251001,214434832,328653520,-1,816623156,-1,635107485,-1,15251914,-1,-1,968913126,-1,244311962,-1,230735730,710821691,791733498,-1,635119598,796244756,487079234,54493929,92554220,-1,194801098,138092761,-1,796112305,469506599,855329462,12230124,453335101,748266241,757563870,-1,-1,-1,-1,672985927,505786820,259274388,-1,794288630,-1,-1,504406479,-1,504793887,627243998,-1,386018963,809896212,-1,-1,729237722,-1,775076804,294211231,324476042,976924132,-1,545263969,109076922,761154983,935116752,438794908,868451165,-1,249999786,978213115,335642642,-1,28562703,55223376,-1,905475799,629217427,30875923,856472237,58557468,146058430,393496687,981924886,658349304,954251450,-1,397672063,599477999,392508537,-1,-1,311489247,-1,67181139,-1,759567502,588325762,-1,499347290,-1,804226997,441834974,-1,-1,972460024,984742257,859959498,360812547,609501478,-1,725948613,2774497,402806124,43809724,-1,61387482,-1,-1,148447187,345838393,157065367,395351219,942085975,-1,713630059,863185152,204040356,761411231,38507194,196757714,132691402,786301437,154414909,371256607,-1,-1,-1,-1,270797477,-1,949202461,252836495,-1,552274579,-1,84584924,155115612,-1,795677800,978056068,-1,860363708,173968466,-1,465491075,330321388,943553695,262593759,-1,-1,623397226,851499775,283208545,250824411,-1,564865252,444913943,561576519,-1,326801258,-1,407305080,360467262,49043416,28330119,967560102,-1,156306044,485949865,216406214,353817126,987056240,948579619,80255962,94657211,242265869,-1,-1,577103381,30134488,710485340,-1,199146071,-1,-1,854602238,692665411,-1,-1,-1,-1,-1,-1,-1,-1,572288517,927919674,294258141,-1,281615094,587459773,-1,-1,916776501,243490621,671791380,232561793,898708948,-1,234454494,117516613,989676376,203084682,-1,-1,966035069,425236315,637459678,15684048,650766254,-1,-1,542358490,447707987,772393763,444332397,-1,-1,-1,750048793,-1,934557083,629852479,532556962,648220253,315881054,-1,47671208,159258271,676507278,250535444,-1,216463943,198023764,451487771,889995440,835889492,106881011,452395808,674049049,-1,332102990,-1,185394679,297864014,757145260,713311498,536906635,771780667,952464490,528965588,367839775,-1,869376100,313421995,532921915,773303982,814069245,-1,-1,443745237,-1,537486603,263544651,496500699,639113683,-1,11579058,-1,185217265,803244448,389501524,266915370,950389308,234573749,-1,948208076,760288945,15502647,82076273,991208575,369761237,618009226,98976073,434998995,411317628,-1,82886895,524238150,-1,-1,-1,691807002,526429455,639241428,690594198,373701580,-1,333756982,551613883,821235673,990603536,134521466,977112868,632662067,20601060,516011829,-1,-1,87523715,-1,-1,771208858,-1,965212769,640314495,-1,-1,926257547,306852315,-1,705383999,282095608,940653474,645855666,609709241,450067972,-1,-1,97479524,-1,439114657,625532939,-1,-1,-1,461522319,-1,784108277,910556621,-1,-1,935562877,-1,707693388,953944790,509036496,137826654,-1,-1,105794140,-1,42948060,104575620,651825912,423540827,121441010,64044280,678677366,702732735,20674016,143760020,-1,-1,-1,54171993,-1,783375944,-1,883414619,181802106,175113467,-1,909780239,5319378,-1,137888853,333083639,626380120,637969522,320836683,-1,437350561,994641647,-1,886253144,-1,263725438,-1,-1,-1,464837424,535825058,230731985,898850161,-1,-1,69492064,395385578,188923796,835732294,789402755,-1,344457368,738160294,932562677,-1,648427162,-1,463301036,708021327,-1,330402189,-1,411154647,731223896,-1,-1,728615911,26052766,-1,-1,427567853,-1,420366424,-1,739312468,899525449,322511611,214664645,-1,398824712,958070556,-1,-1,931162105,-1,924063766,-1,937274993,447110209,83349811,-1,570860896,-1,-1,-1,-1,788927917,886555953,580083916,620567238,683828822,230747010,641017964,573590606,-1,562349723,-1,-1,-1,793505881,578043995,168012488,-1,679047832,531137319,620495801,841058790,-1,811367260,674832286,647185796,-1,-1,49314000,-1,509821583,747690955,565143862,499083962,113657212,751824664,919206872,-1,73531356,-1,841548888,125438621,357634556,740132509,323936371,985833303,703928927,648712109,-1,985050183,-1,485066958,559456034,862186724,284677864,470451526,795849123,410084927,435461537,-1,127670063,532023665,83131973,855204886,823814845,-1,198107533,-1,343655830,688160623,653525043,90633871,762556242,304600525,401364751,584943917,669105000,789340952,-1,-1,354743353,-1,-1,592319973,41934230,767838242,659046626,-1,904933998,515961333,672891270,801899191,805508561,-1,-1,-1,269313272,975366651,-1,-1,761464738,246221849,-1,166123890,10153572,773544290,473846453,596109056,663682351,862624169,313720464,630585601,191868867,-1,6820434,505052945,460181682,865873772,959596864,-1,776177685,-1,68457722,852836559,224309678,619886340,186856837,-1,177555180,510365918,263206306,787931732,-1,677733646,-1,452572975,-1,-1,986040796,-1,-1,-1,449995278,736329847,-1,-1,367582253,-1,850228282,557469734,385261587,-1,596349818,200803065,942763902,-1,338209167,838604905,-1,-1,-1,676370581,31663637,287708211,722195705,-1,333798448,-1,920697302,697961166,931588318,580845528,725420377,249670921,926589460,568607924,427701034,267555621,-1,158371793,-1,692596716,-1,319726810,-1,-1,118291204,-1,233991157,-1,417065574,702929150,73921161,486140946,353947072,156245333,246301306,304979372,48276061,564254450,-1,768274316,886452188,540934868,5994785,506920219,545286585,159382633,220027261,-1,310392451,-1,395514613,152471713,570200268,572014601,-1,843791120,-1,690165904,998214030,992315670,8767801,307616646,930173182,655315005,757688070,938331440,349438055,411000454,700061813,120920255,793735411,707201488,998391504,402964089,360065449,276129836,108438142,625896879,900330782,416897431,433548010,707340321,-1,-1,459067561,147650204,615902909,-1,35381654,539272847,-1,-1,-1,454571582,543342761,190144259,203999757,200322447,562216697,-1,699085555,860373141,-1,670374610,835921726,588936933,-1,758461664,387540311,-1,619880922,100783043,410024630,-1,-1,-1,474463024,-1,437933152,-1,-1,-1,473484626,851123434,693363409,-1,429440196,195326481,320507511,965941551,411745064,-1,506449794,-1,-1,-1,850927596,736135561,452080818,328037314,879698868,-1,236291774,678856375,-1,-1,66116123,-1,-1,-1,260127636,742609942,217414571,588600781,917756580,182664390,633334477,967625808,345150701,557181918,615162719,-1,160176393,681569187,-1,917438497,-1,922166780,517570314,956443236,374387153,733232945,-1,-1,983551195,55394103,14982996,856192419,282587121,43967096,587994749,-1,-1,851737547,201194250,633993790,-1,-1,313499493,-1,-1,220013830,467429405,-1,-1,-1,576839873,894469767,-1,-1,79692195,132535007,23183594,23050630,763127599,-1,633144295,54919333,681889168,409435090,415856370,32755688,-1,199438360,469235582,194693458,30446736,540549068,529955617,19613055,967252991,-1,262596886,381732556,783293614,-1,32500030,-1,24567102,204822836,896714331,-1,-1,215932360,56663280,266648242,668148711,-1,1906626,-1,617713190,173626672,-1,322357359,3548862,-1,-1,920644536,-1,-1,569269724,738167985,871094243,-1,583732610,717926690,366931303,753800030,848068439,663718514,711147499,55376916,530982198,-1,-1,250546255,183865153,10469089,439225821,685019747,929029484,950939225,-1,889490000,-1,747074517,45975447,26065683,-1,-1,-1,-1,628389764,527575687,789134331,-1,36647052,521390300,-1,-1,338882388,376306929,135841787,140624055,-1,276128859,-1,760130915,977797617,897407413,-1,924793448,109904107,51520484,-1,-1,-1,590271133,537938166,394706081,882143687,-1,820054162,31817820,1950524,-1,614289550,350132829,430025197,-1,444450671,-1,90207531,-1,-1,608789440,-1,788839508,654816621,-1,-1,194296518,87821493,969808394,-1,430846504,-1,388345407,-1,-1,81003474,-1,660148912,612308407,835472036,-1,624402389,974990587,-1,-1,73513210,464134193,-1,-1,-1,-1,-1,-1,397930854,17301686,-1,-1,882133790,-1,215315211,-1,-1,537356416,376707932,-1,9854369,-1,16354529,845037553,664695466,624889199,659468170,608303500,690114925,-1,-1,515227696,-1,-1,581539149,978431292,373940358,614282892,672125840,-1,77046020,647899066,645302887,544492026,706098800,-1,-1,384710176,454234294,-1,19224013,794742695,-1,355214045,424510383,-1,457437692,-1,75950676,-1,75052497,-1,160683350,403534054,43295561,651529473,-1,472521830,700827066,199699590,860803942,872458469,868243813,649644537,860414805,729749543,244447954,206975768,-1,-1,-1,291490549,850587668,226515883,-1,215733552,-1,-1,517651967,29355622,727002365,-1,138815009,-1,-1,-1,576035638,-1,-1,631502726,830367015,830778038,-1,-1,693570333,466575444,-1,144530845,302641632,-1,-1,152378871,495073544,871684065,-1,923323211,44825067,-1,-1,490817229,5360611,695194021,-1,940246516,358517301,413534050,-1,591257156,870926255,195312762,46384994,759851209,571363397,878496629,726302937,-1,910459058,659612622,180155028,451582694,195214667,168588910,-1,-1,-1,854967927,699018962,772938072,562068940,629393783,264631095,-1,92789393,-1,610070431,556311977,104878837,753721921,955535891,-1,-1,141856532,-1,587013671,86193722,-1,220413938,27555653,497604618,646990247,219402707,569587040,693002970,622414933,-1,-1,984366366,980437492,834846465,681714452,780399378,906380707,-1,228201532,-1,335488729,-1,529312179,-1,392494181,646850455,770402905,507644123,-1,182794876,932519180,792196713,-1,-1,-1,516331262,915942484,-1,486256857,-1,-1,-1,282422710,162538652,58676540,408957017,865498269,55361021,7450973,-1,642294234,268371433,-1,239768530,585797348,145911832,-1,12494119,680659679,-1,801625383,-1,-1,327490470,33335397,-1,761765465,462088636,40935453,803026885,-1,525042404,772755233,310874941,-1,104597536,996748399,-1,79662932,991006671,772728011,970626112,581544566,980824413,-1,774505992,-1,-1,572223895,567529126,385343937,366845645,-1,-1,850359620,328952981,213724765,458535946,-1,893526978,-1,-1,276477672,-1,135482529,-1,312952394,779734614,-1,113934495,-1,-1,-1,111583979,523293837,346412766,586261818,-1,-1,546972177,-1,630120248,-1,-1,-1,555747884,976270951,546392076,-1,375802790,800403092,401713417,210247304,511624409,-1,-1,479185992,183514106,982799263,112751676,-1,140134465,956188262,788928292,144049205,787490933,449616678,469339953,982410555,991485773,27313283,-1,662574149,96437599,-1,176389070,278519776,412577481,-1,470891576,739785654,898123204,364302508,356241737,-1,165438662,85939406,-1,29323022,407040433,38554455,-1,398394332,-1,739693642,-1,389903069,-1,-1,890067266,726124076,712990833,589414005,828084040,-1,34999535,970817613,60941058,322826454,187655619,697688835,-1,-1,38909138,-1,699859016,-1,865577450,860780970,454508343,-1,-1,223650592,329928779,-1,276182560,470442694,144680681,409178953,371400164,104856673,-1,873239319,-1,823864210,205417113,972548982,-1,894612438,284130986,49231946,-1,407769480,649595277,100352907,-1,189447454,124122222,538083376,51358788,-1,663137550,-1,809193633,945369486,76781670,364602706,118921222,639795793,-1,92071144,211458866,-1,422168218,953494592,481459647,51127593,-1,578522452,571559402,126890210,421092505,-1,765305791,545147792,446827927,718450063,-1,13410216,-1,99630512,-1,-1,343100329,410172315,195844779,-1,-1,-1,-1,768330057,-1,-1,518539778,115279788,-1,815126173,521028606,371774843,318398500,-1,321491741,852069595,290704146,169636624,772124940,-1,658150627,-1,465902155,-1,666879637,-1,636868062,-1,-1,930806327,-1,240934134,310159159,-1,287146206,77907775,319254414,391422339,-1,-1,600622802,455168265,508512326,110767864,274073193,456216784,331573417,436718147,-1,677860885,472137117,-1,-1,-1,795178333,243090819,16243926,-1,-1,69571549,-1,924106878,993341300,729779059,-1,111142911,61994144,342803611,74619353,240653587,340797874,269420146,-1,-1,-1,436257216,-1,-1,726350867,146243331,463596885,594723141,-1,610501516,865268309,66532052,170905947,387379212,142560815,98687825,-1,250018526,669310767,213030036,-1,967204433,-1,-1,742698906,-1,325080522,187750195,691781053,126930422,182618449,339331822,-1,773018273,-1,978620332,325857078,67627093,-1,922116939,-1,311862103,-1,349412413,921615564,659661048,624909936,-1,556349009,-1,720335347,319757896,924575414,863456098,968305154,473342332,679346248,-1,-1,46312494,-1,-1,903808410,315274143,391587130,925312065,715150064,459330595,979125138,875678044,426504816,894078276,700555739,-1,665190575,751986305,257524756,346279340,-1,463609525,321302665,228786256,-1,861848890,170818809,-1,-1,-1,-1,413364672,781551647,471396373,11255020,136573867,103192347,159599865,87504342,792188932,25262943,-1,741942749,-1,336644558,695399897,548339684,981561766,605969719,214828641,-1,-1,-1,285156006,-1,439113138,743424924,545518738,125267354,561711911,744017024,415639057,162512733,-1,308018879,-1,575354889,407284015,295134413,605285771,555955089,369616617,279524157,-1,330257800,-1,423303212,311257776,213028339,516257809,-1,-1,372753895,512841037,13571103,790950346,-1,698514854,-1,918166173,432806911,-1,-1,-1,-1,786654408,206185680,939801085,757648617,-1,493574760,835698943,168932811,-1,609838395,-1,874408550,20651887,912733477,459586276,763388268,416917063,349056530,802325920,-1,26612769,678248651,275975497,-1,56216895,981793410,517146520,-1,125881628,989024113,-1,211857184,885609233,-1,657237307,241739187,992942592,908346735,127290581,995033098,-1,791262710,-1,863139857,-1,-1,486336600,249415752,764013220,500954954,-1,-1,810226646,399807708,930362781,-1,343014084,528827182,783736187,816059633,-1,747932258,813009175,659665385,-1,870723236,-1,893692953,-1,-1,49250760,33000279,-1,581618526,292610130,253567635,982694701,-1,41942216,-1,-1,347762259,19166220,789915970,-1,525828449,275720194,-1,483132170,-1,-1,576083135,463603894,534152314,-1,477084495,-1,180928546,683097781,988638040,870523671,-1,-1,-1,247586071,-1,653573874,682241692,521214799,399140723,877440271,-1,718002433,-1,857124838,931353439,343381036,-1,-1,37635605,538458010,347264771,926588452,-1,271413394,323847989,-1,519607056,-1,627469829,953046141,-1,-1,627948077,595821841,250871232,326698879,879942150,937008043,254082653,189600,1124094,-1,-1,-1,871342456,630617065,364800993,122986868,250282967,250679302,195795706,857750732,119300136,240811651,-1,-1,844701396,-1,-1,557672470,399330444,733439864,500715416,-1,917089717,698841381,826791184,487127793,-1,580152615,337069617,71967030,-1,545902351,893996937,731979916,-1,-1,731150178,537804995,913464892,43253566,592365202,-1,892659936,-1,-1,271169958,467482619,514988165,-1,-1,350408228,-1,176392579,867052974,538263300,532163625,183361928,389601197,662769169,578370619,278813337,-1,-1,-1,859924265,115017040,672543998,329639879,358023588,279018571,479955273,870885518,3083132,395658820,436174616,-1,-1,640086858,421020483,128721076,612291892,450705535,139996710,151418214,300756999,-1,567043085,678014532,657566083,660979811,-1,297763071,-1,-1,-1,-1,671002893,992726309,623643536,299204886,927399419,832295395,203968394,-1,969493240,-1,686642102,705669452,300538503,104291159,704613412,-1,152764693,-1,973282666,835045597,766291878,476300540,704025142,888671777,228496796,216856929,-1,-1,857921899,741335661,-1,-1,334305507,634374102,857205130,980599854,733805978,349108644,564065916,738454460,-1,647924671,132389776,197962382,891026795,412975640,30369891,-1,219888249,580214795,-1,828006469,633092964,416021445,478913163,-1,522493820,876276686,517069397,487719419,-1,-1,127370193,458917444,288052992,335257682,807159224,915875601,555790927,-1,434007426,183597121,-1,-1,-1,552751482,-1,226705456,799888122,104557564,671532994,873184938,-1,-1,452917866,119983058,-1,184033050,-1,721067938,543422392,-1,310292712,490369045,-1,67083478,573477140,-1,162469257,581088671,513310381,192822200,6956443,738077714,130333781,975103935,88993868,-1,460809808,-1,-1,162081417,49287738,-1,-1,653941668,715360571,763639914,118826076,511195406,422115735,502645069,826559280,379701527,-1,413890140,212161484,200652144,-1,717347588,524491666,-1,228843130,217393007,-1,-1,812576681,432497380,-1,201603827,-1,251759601,38923583,-1,842219252,979473518,375051296,-1,951593972,878829369,116819725,211175203,-1,112070837,846748543,-1,488970745,712613429,88709712,177481242,925954680,469799520,-1,295202687,52122019,184977147,729899114,839663151,109830380,320966624,941584919,923624885,571742022,-1,-1,423594216,879449763,861304807,719918579,-1,961854497,-1,411305502,453229037,-1,172048782,-1,570475848,725926734,488186725,442941028,40844135,-1,24587259,-1,-1,706677210,937132126,-1,87015472,342432619,462905230,793315974,524699911,-1,126297614,335676286,475054795,-1,969637429,-1,-1,-1,535269989,700399617,411157842,506875315,567363698,-1,844810284,781590428,990570333,590759308,681697880,192545981,127545788,-1,890904618,327468751,460920016,126955943,119024210,-1,328277161,-1,286080072,348099489,608757769,195293279,-1,814799777,245027247,215142633,843920397,-1,729687443,-1,-1,722608331,385767006,-1,-1,140722220,-1,608110564,-1,40736821,998353561,925266421,193513102,3602449,-1,-1,800609527,-1,268082698,-1,113927478,144065364,600820577,905317082,579150250,678325525,174454193,670602776,-1,509367648,-1,516812583,-1,246061838,750767256,739842781,625193035,393270060,289675711,636647641,-1,-1,129623192,-1,90559350,306525843,598142099,-1,-1,-1,188413264,189060818,-1,918372259,475838814,335509021,352268738,198212625,491855134,-1,-1,585481973,79074689,666861038,967413723,78906696,-1,-1,309630299,706024927,-1,593911694,625160451,291454470,330053447,352215420,808243396,772268418,-1,-1,104849750,-1,880158342,108560924,263753244,-1,513831618,729562005,-1,142348965,115220412,837601895,618268500,-1,-1,453227654,-1,798300652,903357289,117995616,968676,-1,-1,-1,857901657,207698117,18862434,9647809,87151976,843578605,-1,381327680,40006081,-1,478610329,565355893,200483362,-1,381254813,343682878,625450568,-1,824854098,198187270,182934449,513471152,684248343,197479224,-1,203352346,-1,535502758,507690475,534613620,54892539,-1,185180679,279707767,746671012,-1,182785307,150340071,-1,632930328,55622446,305344297,281972089,-1,-1,705168024,148225325,904789106,692752238,721502209,-1,707233261,-1,-1,-1,389399920,380212477,-1,-1,921501359,-1,59751138,831333075,629738022,824861913,-1,-1,346317530,228852133,970605127,566041668,-1,558304232,-1,341468651,-1,312827250,686682607,808226734,-1,476379045,155195695,688643086,-1,-1,116559628,-1,291691482,644901210,-1,181391371,351152610,366462616,-1,-1,-1,572025064,524368055,289042818,306847541,327746892,696125211,-1,948733182,290678798,-1,303950991,-1,-1,-1,717805447,-1,919515753,-1,349055617,-1,172908371,-1,-1,-1,-1,-1,142554066,300356941,212345044,-1,594874359,556069526,765389254,901999245,-1,582971226,920848771,-1,-1,730962415,-1,-1,-1,-1,985485178,23440718,758213240,-1,515585783,-1,620150650,600123359,16487423,-1,321422731,-1,929031635,16455806,983046537,519458253,-1,168599162,-1,270669379,165184476,939691226,16091689,205849529,-1,-1,148211658,-1,-1,-1,517365809,-1,150556778,-1,-1,408864453,-1,-1,556208801,216463887,176044996,610974287,513952428,365548827,938769573,181647022,301147397,809032716,-1,887159345,-1,607293660,795285,-1,781387830,602365379,663681405,-1,802644908,924842469,-1,41440155,958764662,864152610,958091165,721475672,-1,639721492,325519092,861604118,983306823,833426783,876056548,916658217,936673355,732237514,-1,615100969,63982396,823792304,-1,739483441,344511331,676899315,731238149,801890811,438662285,-1,-1,988554471,449668068,585263344,379348309,-1,661995573,992329022,925955103,187348962,-1,-1,431434160,-1,760086316,375872458,732639860,-1,608623087,922981723,-1,387417624,-1,-1,636912889,767313010,-1,266170598,681853445,-1,270638141,947415188,177025036,-1,-1,375752336,-1,-1,260111707,111303809,732767535,426721096,-1,-1,614612427,150103411,-1,501154926,683926276,-1,575877418,-1,959605085,-1,455985096,362702593,903996017,-1,-1,493895229,574612642,742763335,267040043,403983556,990046444,-1,725258163,-1,443570396,-1,961502618,112644881,653878727,919062377,-1,-1,818735061,403759554,500246416,595465505,-1,-1,763053057,603499338,816352386,-1,125487472,119845994,-1,533286489,-1,358702781,-1,-1,361738646,846381869,985026703,-1,-1,26920053,330259206,-1,258527467,251080392,899873447,819314406,977495937,72791894,400647868,-1,-1,-1,529209285,280009221,-1,-1,176415487,796798004,130197335,-1,564423938,594325300,-1,244615227,397477524,735005368,-1,69893900,582478594,796403450,-1,97336686,-1,277663500,860078567,916319230,215062823,36401870,-1,-1,340190961,196304970,744756586,250863342,-1,181237522,-1,928663127,-1,615551784,985281258,-1,426130386,507587092,337126322,-1,576752814,-1,123540097,941825925,246739950,874982696,744167314,500613041,240458178,-1,863496538,489161692,759444300,-1,84500969,124665744,473066110,20545778,-1,-1,-1,-1,-1,586347189,-1,222221311,-1,-1,782978657,158185512,-1,977896518,381777951,-1,561952378,-1,814705468,111593658,514649560,663063635,114432366,974237556,538266866,-1,-1,658566809,672045602,-1,-1,-1,855598016,825353954,991429693,370626378,141382569,401485259,465317034,590056137,718265226,648640197,834064197,248100117,52596815,-1,377114578,192400404,941559440,-1,-1,143776072,107328447,-1,-1,340207771,538788380,-1,198874482,82952161,630403263,89290337,181517194,-1,688394858,510047989,-1,301095176,18448669,900932834,459665111,998989417,168095065,446960950,-1,918816824,343168751,919490934,204785128,946379274,815668963,-1,932035139,619520617,458193963,-1,348555977,-1,156960149,665878382,808368745,865627828,646030647,412395192,280982690,316687856,105102931,83718826,154954625,-1,505444990,-1,464271139,621768333,2310968,-1,-1,308877327,-1,785845688,364941588,967241599,253347429,613355277,452256590,561538137,-1,671601451,633724874,506474707,28895640,-1,279007134,701262113,807760512,981110156,355740995,-1,46684293,246601073,932622764,56072505,700010029,481513238,470262317,655943899,-1,783234847,94906918,712421319,-1,-1,-1,589594340,47511713,447198356,158606580,-1,191552032,649732779,-1,333826245,510612706,-1,257705696,695801896,927011767,-1,465894196,777156747,898423948,375332728,359145072,194090899,558148421,862659402,-1,773089245,544904771,-1,320796678,-1,-1,874150458,307983452,-1,-1,573228877,351660077,454791517,449494934,507078798,273141568,-1,660762970,-1,194090784,-1,408155279,139352506,-1,165124695,-1,196953164,-1,755105287,251556605,-1,254862451,536454573,856795496,353544807,133639979,673694009,571988211,-1,109214709,-1,603433161,678936805,616428153,416784881,851289759,171890631,-1,402224789,925242961,852956024,-1,509120639,181843988,90012568,-1,384260451,67904251,197137454,281215778,841215479,671388761,-1,23700929,780750910,432987363,423365899,372557834,936068249,-1,963089713,457277657,252529799,378487505,626091788,710104660,213476106,895500446,595214845,950388751,777444717,693718371,-1,-1,-1,528853816,-1,647982517,579038061,766494838,604259624,-1,-1,156250152,629469324,749967984,486697565,578098292,419494524,402149710,-1,64266191,733304829,619466856,792194679,631602268,-1,-1,-1,554107673,-1,-1,41752556,-1,287869715,-1,579854826,-1,-1,495803295,-1,-1,-1,710856621,-1,-1,47758304,650385951,758992435,700469406,112699195,722451951,174664434,-1,-1,313972531,182572550,240222478,922315992,-1,-1,860740628,432629687,36663865,-1,-1,-1,-1,387899412,-1,444941466,181569760,239773141,94534428,121473852,905626744,-1,534757920,940894218,328614723,900688510,162780355,708578921,-1,956413858,-1,64744567,25287184,279186593,876831456,896689407,931003636,780171986,363012516,-1,613951744,522987985,905353449,805537584,536145886,983564097,-1,439688847,153872086,788777901,528904354,268015041,609114200,842421941,-1,567184051,731192010,-1,985640823,986691746,740340292,99162141,6234348,748907004,-1,575786793,76246177,780954238,-1,333673797,239377997,852159029,809655088,897946957,-1,505458688,168554751,542867218,429155400,274670356,263406254,-1,627405092,-1,775054212,-1,844497102,-1,92053729,-1,233692797,-1,-1,637111004,509338424,-1,59077531,-1,-1,496974303,404043024,820638140,308039013,101478663,365908023,276915056,259790248,874817818,375101743,429630355,650156425,-1,698956263,217366935,878769552,-1,849845736,-1,129464549,496921256,398047361,321478878,442673408,-1,-1,38106033,379759354,-1,-1,789297288,-1,495934070,378615847,552229735,774591031,457366374,833939919,311359484,120516191,-1,662211164,478314209,359319716,244513405,704605798,859456668,-1,980025428,780046409,742004754,54240396,444277790,-1,-1,-1,57843228,-1,265754548,363354184,229117226,949157187,569883750,669537788,-1,700706039,573683284,457515672,225182176,382312691,284385015,430868353,91540521,102017460,599732684,829238701,-1,903242329,-1,949500963,989103129,338163068,592627380,993152152,892536703,517466570,931879564,925782908,117601976,-1,217136683,413707605,863650915,9266801,-1,590423584,-1,15690702,474416573,997085757,417833828,-1,-1,-1,182279454,864943163,-1,696655182,317391648,908451453,871196266,-1,925858551,-1,32246475,-1,513974585,-1,387083872,150629614,621018499,489779848,919826183,431988531,258906174,434031275,189841935,380367658,-1,13587216,38298756,861552163,-1,317456843,-1,-1,-1,176797237,795392114,56372820,-1,-1,-1,886513523,-1,366408509,256993585,284024862,-1,-1,-1,-1,-1,774006490,51865948,81358644,195538447,893808125,663392439,-1,962574406,-1,769801971,-1,665545883,-1,-1,704360087,89545101,-1,-1,-1,108897610,715569338,-1,-1,-1,843268204,-1,380831996,997181130,-1,989145801,903394718,528842902,-1,359774264,816907843,-1,314201195,231726863,942216455,-1,314701191,-1,216363311,491693698,293826796,171101237,450313830,98044809,31241258,418829791,725654883,166721525,38624071,233022407,357388897,250388456,576344501,593776567,435055875,-1,67064994,73550361,588126239,-1,517680126,785334117,961675563,914986388,979500381,373707363,563443637,934099669,800918536,420548487,707230917,542702587,46958550,939213565,-1,728451193,521329407,31960437,-1,314719289,776338612,506339805,-1,-1,240723659,-1,-1,823339483,-1,102392432,-1,980940315,931896231,646689435,489509506,286051545,830626495,545244639,-1,493423885,315002184,915308087,3777804,-1,-1,-1,621328158,924050975,985064735,305156231,927991808,842598142,-1,-1,631028310,811901003,476524896,438261328,136607405,509435508,622842076,963817050,6152604,747089172,287296763,-1,26913951,221785835,178509125,-1,792829332,-1,151735573,44493105,-1,686901602,209188816,341356944,705434369,711145414,344135699,983069482,863724472,217507574,394513430,-1,991514243,-1,-1,-1,883134923,399137891,342114828,140963829,379838852,256032441,709474729,748233178,855628540,421175480,986327267,395226889,101581927,687464543,339142637,408419810,749601108,439358755,138071783,504518213,699125815,475810048,349802411,695706515,190424473,141061571,199663763,888690557,881748067,174305287,535203738,894917797,185692245,-1,341408655,879568252,950694988,-1,423664531,967071305,706149960,1910771,-1,941039661,75725193,718282038,366950635,74062110,473007919,348724511,892553273,475814853,763375660,866717481,953266348,-1,443682864,335951911,47068114,472707862,732612278,466382794,942600195,232273183,785398074,906162075,912666616,-1,664310517,976092159,681993238,-1,973636937,767290106,585792087,151702050,194068094,186405014,382923869,284509680,-1,-1,-1,220447307,806241335,-1,876921802,-1,-1,216817985,-1,-1,308065061,851037861,130102221,-1,330700219,195894147,27800404,-1,726719249,626274241,440403367,657100029,210918209,-1,599628445,685878824,197249197,732901413,-1,663051119,-1,-1,472499841,86171632,170203719,-1,718949073,394255715,649313892,836383663,-1,646899870,640958002,983250805,-1,2701566,-1,-1,-1,793223596,652455485,-1,234025801,141022489,410941048,602216044,-1,232045692,198323768,809542532,444952492,139516368,663075433,-1,373312282,672789015,892001963,-1,221755095,148403815,827083447,236004074,593209668,924241148,286632181,-1,941525527,836013193,232238787,-1,820276625,252436151,936274976,-1,860926475,149348751,-1,455046832,-1,350775594,-1,558454196,-1,862676186,-1,831056623,21345441,569416383,429328283,123012683,418869550,-1,-1,-1,868769091,-1,306144274,484122647,518865459,430795624,-1,872151118,619582389,787839202,72280535,261137414,619751285,223769625,133853521,-1,54548749,395983186,-1,518208490,-1,-1,673809012,945071616,-1,662361459,-1,895550392,-1,462722748,864161174,-1,103060088,741335576,471817670,145029613,843900857,-1,534085010,10450793,-1,-1,-1,642698382,-1,-1,-1,-1,-1,612091632,22152831,973879826,792495171,739757969,637364546,17417274,10718200,513530078,368063741,455987819,959240325,547074745,68303364,-1,649319368,953026711,164147123,-1,835616822,126565136,805268931,-1,619360429,837362116,-1,673333719,963313654,-1,404406803,101897327,337055687,159978650,884550595,-1,-1,725968341,281153231,320130453,-1,-1,26383309,479036212,864301877,783402248,986927538,-1,732910236,-1,-1,599505292,556999251,412717570,258150792,985757277,660075259,947721221,278358479,819416375,668850274,-1,479557180,32489715,-1,-1,212181587,627122675,94011831,525884279,74748174,384626713,-1,372105338,-1,469367199,-1,-1,517791595,-1,970472138,625992326,386908849,457913599,97705405,-1,10883086,-1,-1,623222167,151107690,439850958,-1,-1,436420992,-1,-1,995820668,-1,498378907,-1,717773713,949006561,-1,932865008,974967933,-1,492504491,378366209,-1,324916449,580876719,208704859,590331844,-1,579152047,339117603,422062102,296372087,927596837,-1,390722667,-1,-1,63552910,-1,556979157,-1,953569869,299385510,466778626,481183389,-1,1191080,-1,-1,-1,102277464,509028755,115963930,673125346,689034604,275778322,812846206,458236902,391931077,214083957,872822715,-1,-1,740465865,161514900,-1,820311946,889202075,162234230,11255125,199883508,-1,686950899,-1,-1,24833455,274743884,69729990,-1,885155486,448355062,224364452,708068902,258414881,726024278,-1,-1,791018830,8752735,308269842,842163134,914839270,107995738,757040205,289278492,910662811,480472485,811585887,169679964,523456725,-1,932051819,238993892,533559713,-1,542950375,121683639,254740231,-1,759221060,-1,-1,829786216,688307787,553508506,702853802,63595,911902818,921716784,32635459,-1,-1,800124253,299835457,498452012,504810415,928596374,895846119,-1,5084421,67699780,558723465,983694211,280337623,-1,378550246,652884550,294213958,199018991,750047299,605736375,757742866,526205,499548425,-1,-1,947854703,639090981,653982021,779790813,-1,-1,-1,861036185,809470373,-1,222748040,-1,882160948,133596229,-1,391646451,-1,522136341,-1,903991757,174522876,811904355,675366314,-1,-1,7273017,334813347,349316871,244975181,56242685,-1,-1,-1,-1,714757080,201772804,-1,319508917,166427773,567902939,198729972,-1,478256175,-1,134384277,524775163,76056924,-1,261690507,879312557,-1,281659215,383744247,380577197,28008925,521717681,-1,-1,-1,-1,3213179,889245955,399063454,966270310,-1,331615769,881140999,179681967,944863850,257823304,755854607,-1,880278615,-1,-1,380957643,-1,775421806,813745530,743685073,879045018,170660393,-1,452246145,-1,202306617,289649934,292345269,-1,103827322,812175976,-1,-1,946670891,219527469,-1,630306535,684024881,-1,-1,214149321,187250776,537831803,-1,359703366,-1,-1,397459106,-1,84992769,243611814,466374814,840291546,817067451,504592154,952291281,767022705,945563203,-1,-1,639634004,63443882,-1,-1,734344746,12062677,896812419,410524951,647435088,44946808,-1,-1,-1,246329625,711445360,678943154,-1,443532008,307788842,128199329,343495556,555810611,-1,586332140,43622449,195282186,-1,-1,-1,551588492,-1,924744336,333141768,601556780,606454094,756977779,810568895,-1,915233365,462197875,-1,59837075,-1,325396747,153124242,800147575,520077616,368783692,966003977,78782850,334866103,946571971,-1,325088960,-1,541620246,-1,421661696,-1,904439880,152978919,-1,-1,899139034,745003346,-1,-1,700851992,125818224,749960143,-1,-1,126459112,898045701,-1,-1,956328858,676672027,340952450,-1,366662782,-1,841294772,884632965,501868543,150937962,-1,-1,-1,207429817,-1,991269099,-1,657350276,915194010,420463000,812251473,496471763,-1,726199738,12919758,995734382,-1,-1,764241707,904464174,-1,860618352,715088517,163661548,138928693,532120063,675596143,220669158,357997861,528547928,269085686,81636394,156862004,398617698,378817964,3130242,-1,-1,665371234,-1,-1,759627907,135504076,131175312,664596074,-1,-1,480290477,-1,557995266,417311619,872731627,51338511,-1,-1,-1,678342138,-1,-1,-1,580368301,769473431,825772746,631517261,290790638,-1,-1,282363333,492055637,903971984,964967432,-1,549275472,79540841,940995804,58901402,483618268,619688347,-1,45286029,133504130,-1,960843021,998197079,57730609,375807818,388566926,155798213,-1,909528374,960976620,751980443,292461003,273416956,442718485,306499620,904404347,-1,514825967,631153967,667416082,419721146,-1,-1,604951318,-1,-1,28328557,272867823,-1,324920735,256310112,-1,-1,-1,735365077,-1,134721149,21035996,959347017,-1,722316144,-1,364737592,501917292,202428659,-1,430292995,-1,164364260,-1,492100949,867626249,-1,609402173,29866383,304383536,147248148,383126258,423768043,254693006,-1,721996114,-1,307954261,806850286,133117074,156509394,574921390,550046603,769453667,909374187,310751596,221860492,609960205,48707960,658073772,-1,31072614,277842972,363435527,205913041,198110086,254023325,602747133,85132713,562154053,387132804,-1,719544725,416867484,-1,232924896,-1,202338404,310735225,964122815,778759023,-1,-1,618049749,-1,621190546,-1,681126068,269842897,526488652,-1,12453256,-1,722094871,439078638,995278718,302439033,-1,288722574,238979826,291498914,801749889,110532261,662796214,754215907,571627484,400404343,-1,-1,508668829,474841235,839930213,675361106,83632941,486994267,-1,860880723,-1,189685219,-1,738046747,470112842,-1,222820992,119886406,154378636,939808653,370096983,379512678,12515222,878522268,45821791,-1,-1,687339532,811697466,-1,-1,140304775,4707226,-1,415810712,754790623,907377358,627320814,-1,639894360,828986858,-1,843173765,335817440,310543379,-1,825782338,796995331,972398548,-1,416497413,755972265,398825837,100296172,859867726,-1,878157063,-1,708813445,-1,820211345,-1,-1,433641912,-1,-1,992918398,632028217,-1,-1,-1,669368985,260851329,-1,760386127,431939992,673502542,641209274,312585988,-1,-1,163408078,-1,80691093,539471783,868919292,981290758,-1,745325226,698544367,-1,-1,791064668,-1,529211212,99444459,200538536,162478341,957414444,533049671,-1,101725150,411289993,766528192,612171548,899863180,-1,602443623,-1,-1,346386106,-1,151304224,676798605,464137425,776587964,817464525,-1,-1,487089592,848384898,-1,267742964,-1,894250249,693695484,109394559,273539068,-1,-1,754165546,416169479,541335246,-1,64171438,610936708,-1,-1,261161605,273397525,-1,-1,138512827,23914437,277939764,350899112,-1,277633438,-1,-1,384362011,32340936,678420766,929830220,-1,914614597,451111035,386623263,-1,479121922,434153952,-1,-1,-1,399039480,833406426,-1,-1,11237252,395778328,637797649,-1,-1,136787002,336578528,-1,484661959,-1,272276104,604248917,8809799,722766917,234843405,932313923,68878621,525244811,246829261,-1,892953355,14007235,863802288,670788782,-1,863896881,483346145,622951907,-1,563619445,12935353,965796276,-1,-1,-1,880114016,585845174,-1,38992223,-1,426728635,380961219,732929058,216183013,720092392,999502406,486675599,-1,161510563,451136409,271155547,249088071,545035991,-1,500027510,278469727,-1,-1,785206709,-1,-1,656064316,-1,566412534,268897903,739352594,-1,301056421,3399138,-1,298550220,496543901,904154063,413452589,-1,-1,100988613,189645375,-1,-1,423860145,12335009,374248284,560916837,-1,-1,678688588,470178556,81675555,234649560,142361429,731497758,924059745,220837310,-1,622086021,-1,-1,813064386,45771480,829899491,617164299,868634522,128627535,126191615,-1,-1,811603229,-1,605981444,725987474,909125141,164089649,923097493,940912951,654469793,419498966,904863157,-1,6694469,918989121,642070534,-1,-1,-1,-1,459939733,-1,-1,487340461,-1,601269615,116167956,154888230,-1,869529920,141465932,159170080,-1,-1,688263642,-1,404426399,-1,293179121,931330095,49086471,-1,547454510,133338711,-1,203582543,458945021,747128414,492479276,285574585,701709680,-1,165232910,-1,51732478,-1,840742160,95016870,920365091,-1,179213060,814176912,219743631,679521011,753320911,54984859,301656827,823507467,300990996,418197346,820549051,884591834,68040581,-1,-1,831714105,195079633,-1,696167586,967442812,855445942,-1,821031829,576170937,500157182,89969556,-1,-1,-1,-1,327851453,-1,940440703,608489903,466270220,132935161,991330333,-1,-1,-1,263047935,952165128,51913481,-1,934995269,132801309,787593717,731372755,582064378,-1,382306817,113089980,-1,36514120,237485905,575525113,346743311,-1,186033732,-1,580753141,235885120,-1,189560013,-1,821777494,251802206,-1,62698662,588808198,263339871,-1,256744629,736207077,615257413,559786306,103085887,957649688,67607245,-1,266193973,464258226,31644964,62628746,155967283,-1,850117837,-1,308001357,380427959,-1,411694687,815678451,587885522,543724396,586287604,-1,-1,-1,-1,524607427,459833804,932527110,16762249,848685301,667209155,136029558,390471248,912018853,777884706,98295126,632775973,-1,676465010,-1,1268948,-1,898921803,259278529,164383703,-1,639027184,183820878,431283115,676973098,-1,-1,244885681,813102165,751832263,-1,802221302,-1,831830797,201884733,400350710,-1,339235605,-1,-1,156701044,729327003,183643089,795946089,360927604,-1,50536902,975060567,566913882,-1,347360051,904388001,13040809,-1,621055930,936540899,721956902,467665241,-1,436522070,369881499,180211953,190423565,-1,-1,-1,993173088,791791277,772888948,526506183,-1,-1,703155879,787502546,691140491,321829820,904353719,-1,431960082,-1,39129825,149529284,309486942,204946903,966916873,-1,-1,705113208,-1,944328453,259325894,727354878,674259722,-1,383040003,945998571,-1,21150806,-1,-1,-1,-1,-1,-1,353284020,699754941,-1,165738653,-1,597740398,-1,560716012,469411813,195806310,516253325,91329586,-1,893030179,-1,-1,122245984,402371622,897189897,-1,-1,46379140,899481494,32854777,-1,-1,-1,-1,456009540,-1,-1,137094094,750816802,844026104,862067182,-1,-1,144020078,859240346,18800238,136476577,682084912,123763149,528632523,79261485,191138891,647015810,-1,-1,-1,-1,701679959,-1,-1,227836650,-1,828279998,185532662,609079688,525664416,249460308,847798613,319164632,467428377,68468531,720848677,-1,938055729,911941059,516251193,336091469,232686674,559047098,32446126,-1,27549185,985888606,699949757,637817740,492651174,825759237,487659188,-1,579922850,550573993,-1,849156674,910519389,-1,-1,425288343,660427153,-1,675749685,649456834,758733817,221750921,939553101,920399659,-1,-1,389523577,320974174,-1,-1,-1,990051264,116019547,595855433,646388430,113768712,312875068,-1,871836467,-1,770570849,485555734,824910812,-1,367697887,356524769,243852297,-1,-1,527644781,940975493,779714500,563969087,380056729,287669523,321731491,46825086,121713370,498256314,-1,-1,140917336,-1,-1,912045888,61553698,-1,-1,369164176,164516559,847889326,-1,986984365,310157681,674444542,340839240,-1,-1,152260419,769413268,-1,903426796,536282984,-1,921925325,-1,736370501,720042354,214638388,119097685,-1,633961398,619247490,528324519,-1,-1,-1,264769671,663081384,-1,263918892,849465346,585333654,625549333,516436958,929510676,628680582,-1,-1,986560197,903774194,-1,845196799,231379326,401688257,265705258,386447715,411644520,-1,-1,-1,-1,-1,597867759,-1,99729688,559169351,954035308,-1,920985301,-1,610640732,753315047,-1,644854821,551536099,-1,631895602,120827697,747377138,-1,-1,-1,611295550,-1,498139706,576605833,177449719,135773623,560872560,-1,638663803,927239474,-1,890251694,408954866,-1,324602252,376280082,-1,823701039,-1,-1,616234096,389131114,-1,503776455,350148158,4594008,-1,896514527,14003247,879098282,748036880,626821212,634476998,371522719,369074236,2796566,972262455,570783993,962572004,506630837,401149695,297175874,630736275,-1,481369128,-1,-1,785712686,869245253,189397880,88189350,582133594,500626411,832534628,303589731,-1,721216000,411560342,-1,417056714,-1,37586174,-1,761440880,-1,-1,585095077,-1,271512659,816834981,-1,631266823,-1,276780661,436415629,937504395,610017190,169539635,-1,290797342,401491951,-1,-1,354330567,99166207,-1,731863159,41593909,999917005,-1,-1,96006925,-1,104145723,653663697,-1,57859208,231430183,130310577,597967584,943307852,-1,342132338,-1,-1,49930106,214047522,-1,881369309,-1,353030018,599625880,239558046,-1,837161298,-1,-1,-1,881594686,-1,321211590,-1,597397629,607875861,470908598,267508083,147311220,254057187,-1,601328378,427064218,504861305,-1,-1,966025715,540117020,-1,591406988,958049662,-1,244136397,21210279,478799572,728004110,712276832,-1,823397963,242046511,65911752,364341667,37220058,468707780,159002555,26126581,427563528,753007296,714671634,343661544,268331942,476405665,-1,256789736,-1,933551269,585859114,988421106,491006178,-1,937403318,429435419,745139175,548383112,-1,217398840,757822160,690864790,-1,113363716,667516015,772331364,634066254,620280188,-1,39089688,272551689,689384510,342315255,-1,604874831,-1,-1,873921312,290279214,39939564,14653472,873062195,114483443,-1,10323287,204924779,-1,788560357,-1,731580901,391658073,112660962,807751565,-1,-1,314873461,872312425,396204326,-1,-1,513028301,-1,-1,357514032,853857766,714701068,-1,-1,697621458,900227264,897825109,125429362,-1,39236078,496348997,-1,-1,-1,347868514,-1,-1,-1,859901658,-1,571850971,-1,91508010,847519362,93044075,-1,681597785,791542460,366156,656179706,-1,241798131,-1,94776828,961357871,-1,719685195,515572958,-1,-1,-1,-1,-1,389773207,835784054,-1,-1,516017471,516174544,238803564,213586544,65938046,108225681,702661880,534667700,404762326,-1,-1,167987307,-1,524117254,-1,350858083,-1,106514376,506201527,158260268,688245776,-1,580076619,925386138,238743836,-1,35271149,-1,427266212,-1,39981351,46199360,497455241,696194256,120165644,-1,-1,814623057,523999579,260368802,799507944,-1,211227009,-1,106267235,-1,732914051,599720769,-1,-1,816608454,283877609,908167118,685195697,955107648,818321846,-1,199571488,296771459,139146601,-1,295244995,531713539,220699411,448201138,421806628,-1,772509368,98227380,365446167,916781804,9321985,821025970,-1,985426850,-1,516328831,856652729,297072484,60218520,990886581,-1,862434001,95108222,159087064,409221857,71051838,-1,137516187,606887437,870030160,622267952,55595581,221803737,680578003,-1,268883144,396807954,35143271,624904774,577707482,867024807,850912492,3579511,330676211,-1,304462525,449264319,101922951,510049897,245939500,686955631,-1,-1,248375062,-1,262306040,-1,931037580,619898676,923505463,-1,412212464,358520528,330287176,-1,886752279,624211564,596908448,791573145,453563502,-1,754519082,688558621,17287675,-1,554801134,279192069,-1,956373933,508927003,128194057,533519373,464705462,454146714,638249228,463338807,-1,394030415,783796496,781764348,635121717,798094833,392098304,-1,586603083,-1,-1,807856750,678031528,367007700,333191997,760100067,622327961,410418198,810003504,707951142,137664804,-1,972021841,223723708,-1,773210044,493320681,540572790,229562460,810033408,601750162,110748097,-1,58942557,770445492,689310889,322928431,958963889,363740047,-1,294171016,595049602,393987414,579041940,751272361,-1,831866427,718928811,43850765,-1,739736135,57166583,861642380,857886265,709382032,946847050,131928104,429488863,-1,792995414,-1,379345601,842142446,509712640,661840714,-1,95210204,827450065,870455106,347795619,136990369,99050639,362341108,892384089,-1,209164949,-1,520457432,486015776,864332584,-1,306792135,101461767,261678439,336878340,446851796,-1,428177422,15065542,-1,424889861,-1,110894455,-1,-1,-1,317745045,-1,920771835,283101112,305144775,936382469,-1,909441858,729323041,763142388,704275532,100569966,97267789,205683470,49485442,42342078,-1,121786162,390079807,285894578,-1,-1,83570854,859513618,734466432,805000939,-1,568114222,47278878,-1,455085765,32286805,378506892,400080906,297229463,493249461,-1,154878200,155335461,-1,-1,589619414,407063182,489617607,677318974,-1,-1,-1,317970679,617401425,582491911,-1,441840975,877052053,27300798,636009506,750158626,674447430,873132060,67050169,-1,-1,-1,-1,9945065,-1,-1,856732248,155450083,462479188,667888921,40187616,209405753,-1,-1,301503942,306030368,351514393,348946497,257322450,-1,-1,-1,966870054,589944712,-1,475601738,967602875,77629945,120315820,241408639,669191934,439993587,-1,-1,-1,439635127,140847638,173716212,667200395,851861782,-1,524933986,26548511,976805660,-1,300426678,828842755,-1,283496224,-1,602809754,-1,360237135,107838139,-1,-1,126022090,-1,126484908,597584807,856009718,393947865,298050401,910517492,-1,-1,305987479,967749084,-1,698965607,393875304,185341103,-1,55736525,-1,679786872,-1,-1,800958917,786934538,-1,775603427,-1,727369646,262440427,-1,116006278,-1,528531769,-1,-1,489574816,507394025,423021276,309836930,590817463,447597458,778167391,526084393,564770336,940942171,968262011,-1,-1,38865220,-1,706128265,756486043,186552003,-1,398219932,663480243,76488713,-1,542252097,671444464,-1,344258064,-1,675626927,588311510,-1,55132949,466809853,-1,527846270,269414698,-1,-1,704534352,-1,714417792,771730149,628207020,526620444,503901283,-1,687736701,949116467,168066075,843130340,721087837,-1,395402295,453432362,668929611,395258495,189437495,900209942,824239171,539277123,524249067,-1,790964139,637640499,-1,-1,264606866,52108150,972281472,662025371,256033268,789066897,29589875,892562892,-1,-1,242585468,799918344,882685656,639843309,767585918,191187812,338405219,121127874,610983115,881628089,6742591,-1,-1,529387680,640643711,-1,718344569,701851186,878079392,152116401,84520839,810064005,-1,-1,633843637,-1,977900437,-1,469865144,105566789,-1,-1,397138586,223126323,-1,484977215,618409470,660927836,345106803,187545139,256795249,589472419,-1,-1,490604026,874887733,125040753,128839292,-1,-1,675028629,93701916,233114536,-1,557797879,122401349,181562109,958951285,-1,966839064,-1,282700026,301009648,610306619,-1,629946052,578849585,-1,492044639,462276631,90288671,324972643,372818743,661185263,-1,618541329,945131859,819385771,969436813,22178981,-1,-1,702671504,925538126,385257977,797079672,550633744,-1,-1,161224385,723390629,382389954,115366406,-1,940040649,493396506,240884704,376493189,468872959,-1,354206174,767944942,-1,283628329,-1,-1,-1,-1,-1,49786177,569143201,436139953,-1,-1,273374325,780731981,576995675,877853448,-1,-1,-1,58024936,-1,712149581,863723324,744270010,251588512,379275265,12177630,-1,72598417,81353880,-1,-1,-1,-1,583868959,302039393,160756481,561718633,215047039,551233565,-1,842406870,118639627,-1,472553620,994840721,693803899,377362703,960577533,177836693,576656765,792480998,-1,642586626,-1,-1,639310788,950906079,898344090,-1,-1,250920440,661410142,991919868,11345018,171079485,-1,-1,385094816,384717299,-1,-1,-1,684804689,179801056,-1,331706345,598972578,879274177,412834783,345135595,854020182,-1,861818251,10511852,-1,-1,112720454,390817216,-1,-1,-1,285906404,-1,-1,902175788,278505022,-1,-1,-1,36393401,-1,572010487,825749955,280952272,689767078,-1,-1,678492112,413051930,-1,950126204,12768468,509583065,-1,892409781,511213840,209034742,691036330,474615,129472940,379880931,-1,18328975,-1,827049591,429736039,535962121,-1,-1,224711923,579407919,270805788,543141914,828366823,343603598,-1,-1,498941600,593076504,45430179,745986099,225531897,632748600,819183980,774365126,507641100,593838682,943093319,74893130,-1,871414897,136529249,559125038,-1,244942066,-1,-1,811534230,135018822,-1,191832430,-1,-1,825916943,-1,571218114,182976031,961273690,277795158,554647099,-1,-1,423465397,-1,-1,598620426,-1,-1,570738493,-1,-1,-1,-1,-1,356464900,-1,45131535,369397610,469655347,840852645,-1,-1,-1,110732266,534398429,462214445,49341837,851098280,-1,341728709,958634134,894558947,-1,184986416,-1,-1,-1,584600350,862317186,226451246,-1,875632780,631474616,74499357,-1,-1,-1,55304731,-1,501327485,775075107,215698135,-1,-1,-1,531020605,874124734,-1,456424981,242894040,-1,-1,-1,247320096,-1,-1,272757237,288878235,-1,18843930,643864022,-1,154159921,-1,955917966,-1,-1,836028272,-1,995583559,530839452,-1,387734181,659209160,922215801,540686064,650462220,567274229,58836692,566267017,-1,-1,-1,-1,666140252,641792670,593681120,-1,648055505,986115380,470979269,428857119,-1,794829243,997869025,-1,745267687,-1,922811863,-1,829419654,521169746,11830170,-1,548148413,-1,737046210,736598335,-1,-1,10909873,340622527,218318642,142372033,602939852,-1,465776036,-1,290377425,966938690,752420107,811732054,-1,332113041,184923240,105811170,-1,518010055,735675586,248917814,564386842,-1,450222849,779218780,421659335,684344891,812814792,-1,142889144,-1,13893847,566195223,995381447,77182958,-1,562271941,-1,740288518,-1,61803786,-1,501496590,661598340,976696231,330714256,-1,885814531,218520809,33181435,612307415,854406433,632885437,470609048,708272703,-1,891556328,406920532,883512313,724549334,756196604,-1,617833855,-1,643577810,839074926,314707403,256782670,446887358,-1,615135337,665997215,-1,394032744,-1,-1,504373189,-1,867710850,-1,590331633,458805643,362821666,-1,50472269,639126595,665610801,675736026,52200124,884492569,-1,447649141,116932725,239989343,751739454,-1,775320272,730956888,145914072,368248553,289100471,-1,-1,-1,-1,228292463,330635856,529910432,484059957,-1,901530502,963483067,763269877,617094561,-1,298095486,834468563,896860277,-1,900966575,-1,-1,850039201,603709129,-1,-1,118877101,592221041,-1,-1,10545442,-1,741527477,827943509,232405163,458013733,502881918,166401106,892141550,-1,716988918,-1,-1,531862305,111944053,283233622,540695046,661579782,81105120,927724187,922726949,773375555,292910677,439651814,438263585,765762435,-1,-1,129947440,171673834,956905120,-1,-1,-1,-1,907005714,-1,-1,987724455,749878107,500474812,788119229,-1,776716510,784857316,-1,258111587,-1,692619449,892186618,-1,684851776,310685806,152206888,-1,27393113,324728619,-1,308098774,773871818,783723761,304205280,456659438,877031834,280281700,216441506,318127959,581493914,-1,-1,896371974,-1,813564996,48764815,358797187,541826458,-1,571972650,693908678,-1,-1,555500610,-1,780576426,518328159,491343500,550642242,838821006,23441060,417192301,-1,430224758,964326105,272453170,332953057,508663038,583184376,111561067,779512177,847433036,558109423,364400812,277069672,-1,383496524,-1,713988574,324771902,219594953,259833210,-1,-1,511599469,992901469,482033663,-1,720298498,617127606,55471693,540091507,972349239,459492189,273952344,136477664,-1,598057635,-1,390342235,147397485,-1,-1,919498453,864529737,465266061,973192741,567123905,626810984,272547662,-1,-1,-1,197877515,325679993,82030759,207813563,-1,947781710,162648861,826638612,-1,254127351,618146565,-1,593861759,426134007,519029647,-1,565144674,-1,892066374,-1,950896555,351081370,753473298,-1,263035976,193675347,626016180,972473118,-1,673791541,13806392,506163756,324246522,-1,279797857,-1,-1,-1,-1,69392715,859245683,332801524,590001895,607257620,-1,-1,805193463,52138046,505562130,-1,-1,-1,-1,870046167,-1,257300556,537004074,-1,-1,570561329,642051452,395280780,794676338,576625042,-1,-1,563749370,252272043,357168999,-1,394342268,-1,-1,605005879,-1,-1,21612427,-1,-1,557858429,99281406,518974974,-1,-1,378463606,349296290,969973650,501429322,19889555,1243678,639677760,272964606,825245098,719608944,-1,224513472,432300080,718861463,345108895,43430586,-1,125310724,-1,166108968,138572091,-1,-1,681112649,193874515,-1,313671080,27983869,104852132,625244959,11258418,-1,-1,14432257,682147619,222769669,-1,575912258,154755003,561242167,250370062,723985789,636868620,853448114,201464722,384001798,418346288,154688170,609716144,290986486,107475365,254042146,-1,98282940,789130511,79213058,608856496,416345824,52483132,943430319,729685784,816389176,-1,942291863,-1,-1,-1,242087570,292939320,-1,150226565,671549542,507642879,-1,468256944,517186169,-1,726337131,-1,-1,492386807,-1,787267071,-1,849259820,391323678,880480315,-1,-1,-1,260869595,908855582,788756760,-1,-1,210868235,149234664,418893644,640450282,156884786,-1,691580279,536742593,975443504,281074050,443428534,539316763,-1,534018949,526629270,-1,334861643,150496734,44925634,-1,-1,194195882,292664299,497735165,461752376,525021402,146987399,121951401,-1,606372608,-1,721389256,36431322,158427045,972382580,550203913,722094928,761687017,-1,708950621,-1,232667108,-1,17238057,262017608,217394765,353829733,-1,834887682,450692780,637342580,233236747,-1,193121793,13927517,-1,-1,723686161,18701391,304579004,-1,550010968,617120062,-1,188399380,-1,174948849,349773036,655653385,77361520,747381769,-1,-1,370024371,-1,-1,167475934,63655725,36870173,970664030,985669313,481586568,-1,811192369,-1,648509200,928071425,-1,324845418,-1,490960678,67499450,941861988,-1,54168436,801250527,-1,-1,433329357,-1,641801424,-1,230583896,646167379,-1,346182750,-1,-1,-1,831843742,28749864,12755330,786288027,989871125,581939606,598058029,203722966,206228068,599221636,637071767,197052741,488998881,255280212,354210160,499250908,254460867,346546359,-1,63425657,-1,808816495,-1,-1,-1,602189881,498944349,643179325,595433537,76655372,355430973,649877539,164782191,625483872,921951512,356161357,302927273,-1,-1,-1,-1,878146515,406544298,-1,999398623,564243686,-1,190255161,541249726,499398944,949376910,690951414,974641078,938450751,401725649,136781063,-1,871682888,-1,-1,276812947,441561767,536604145,692335361,686693270,18523477,292710663,809234763,883690559,325718277,35247145,372126183,24236077,89522114,245309164,681226371,204768629,601106211,464011325,429711478,56776016,601098716,350975798,991216734,-1,-1,92517673,465381116,59969627,431303170,956523230,897135205,429046137,946525300,657163821,-1,955637665,-1,454924775,575159472,-1,925001291,767331902,-1,492591812,465152798,118856440,-1,-1,-1,-1,-1,226128739,-1,157708937,388041159,-1,106530365,882644021,111663415,-1,-1,-1,834071902,489452082,-1,-1,-1,705912606,-1,-1,451106808,726260447,-1,-1,375666379,-1,929856983,-1,-1,654437586,508254143,705835334,592276706,-1,553769481,409691231,611866338,519138345,170064116,569643424,-1,147074296,576244216,104750957,427277061,-1,943811941,270831298,-1,776976827,802784564,404578159,793543711,569630436,355523556,579825866,515602344,281991367,635846989,479414227,-1,13054321,141242527,386213547,180656482,478414610,896056535,122753849,551178940,-1,632023464,-1,273881017,449279533,-1,685483048,-1,-1,268238408,-1,70901195,-1,387873722,995097854,-1,-1,558942699,-1,944616391,829960580,324453187,175591889,48229016,339048046,-1,-1,288315955,-1,939083333,-1,538971528,778907651,248717564,421133253,917689802,-1,213555176,-1,-1,992070712,229692439,574352667,-1,553819530,619786136,786734973,-1,180800306,-1,60603914,708940061,-1,27785330,660997427,-1,268063237,892807512,590080411,240996563,196537500,503350628,328387972,238932004,465699685,142398351,-1,332793688,538714328,-1,687302624,106316110,199657128,119692912,-1,954382027,371720367,796245185,-1,-1,-1,619071086,2607298,38202819,-1,768749786,-1,-1,712602987,836203709,-1,-1,477439160,-1,762748590,862844595,-1,997015940,-1,550018180,216176330,482631626,219691805,127276067,870215112,19360107,817361595,440169074,-1,657515072,-1,147093922,-1,597755660,186198742,947607578,395819488,478144735,-1,-1,68189201,864383145,830389759,846129926,179896009,859936737,-1,-1,-1,451681599,570512200,850483043,945614347,-1,285069070,-1,277316807,622578532,269037195,561082746,353388662,372437503,509777418,377521184,-1,241705374,621663504,-1,585751024,374369159,-1,169809972,520295531,120761442,785214790,-1,474641734,734984176,-1,376403734,554436960,385256588,-1,462613111,216741936,325186253,-1,927066806,217547611,-1,684525858,-1,31090341,591020783,656384003,388672226,957320967,327344167,665367864,-1,526003747,-1,447458612,663136812,-1,569822077,-1,515515518,-1,967053943,-1,125278375,736070279,-1,-1,602085253,-1,865619354,710921593,-1,693830241,313593949,65019639,-1,-1,408331027,356292436,-1,467913282,985501748,620051370,673389860,535876596,756822779,684927353,372020142,682098299,999106527,167867894,-1,540343405,527731332,603886210,251773390,58178521,473388357,120805478,686592248,632372709,-1,-1,674772093,704695810,786355176,154294164,55118061,524425465,423052495,984159458,341894360,-1,-1,-1,820435004,-1,-1,-1,796810218,785831662,371714244,652086956,363694095,-1,-1,-1,721740551,821771036,620810520,925371693,704420700,548245126,905023379,47576364,385895432,-1,605168661,634757649,705156,59875489,-1,-1,299939921,-1,383209548,10970233,-1,-1,559466232,495143354,804956446,-1,740288009,-1,855662862,429633591,714551953,-1,340501348,-1,323498065,717627233,-1,144287649,106399539,96150976,-1,-1,601843458,964336029,-1,-1,307802254,420691589,908977478,810686723,295158252,533559646,484624228,412762226,397772065,918832952,-1,644821932,-1,478122575,-1,540694258,84860531,824859324,-1,-1,12395612,7517471,715229098,799370378,610654635,527373883,368777245,12600918,-1,289404822,894535682,766706459,803238060,-1,880417769,465364223,-1,896237180,-1,825314343,21696266,552876478,429343303,-1,754800903,800949985,900224280,296589204,-1,714213071,133169544,-1,513200218,144198394,503624843,438934912,381843140,414421709,421545513,659448802,-1,584978394,611000050,47198665,-1,815728796,63229873,49551816,-1,78899791,-1,-1,661774241,-1,654927955,-1,620386503,66427592,-1,-1,-1,235702265,-1,442779979,-1,-1,489954351,368683408,843649247,107534026,188633845,-1,140459660,498720456,-1,587907114,975241914,-1,552477128,227554990,494686935,-1,153114152,2291196,559448112,-1,-1,-1,947756163,-1,829458701,474688773,142662429,-1,61397173,998205831,167177341,561924218,714428917,95805347,-1,365478025,-1,184544702,-1,229638732,679614031,219383365,760956481,-1,345715254,846387936,566772733,-1,802498689,773349575,444299169,477554341,231272239,271362933,589435625,582796241,571732015,777663000,324687652,-1,261442891,467232500,-1,-1,735187586,248642415,-1,277518164,159109889,81686592,-1,606232072,-1,201251525,-1,201659507,-1,-1,750504941,289056935,-1,786065223,239762093,112488369,699673236,-1,-1,483287349,684528970,-1,-1,-1,68818503,825132395,948071372,-1,589811893,770019305,86921773,278711036,384656985,266247201,757564681,301516085,960424306,689533174,189247702,208409858,686673899,-1,393178966,-1,412753168,820201697,-1,78247626,820134690,-1,1017705,279459949,-1,52511067,191796315,452914339,526782596,603157004,244130579,174773036,-1,587457649,740659916,-1,-1,-1,914482949,735834597,184344716,859812409,-1,865886811,-1,-1,338501006,-1,-1,418407537,892161801,104348503,115063458,129626003,758175171,857678321,-1,954789711,674860688,945625469,474516678,-1,499831310,-1,308794239,124643582,-1,-1,72612411,-1,-1,233945868,-1,253220376,-1,139014356,373072322,-1,736003245,-1,644123850,727954,-1,996929601,-1,-1,815325998,984943436,409417045,-1,825189617,143318919,578999652,373319538,586320869,504023287,-1,69877398,-1,511949753,734184915,196327709,211308267,706902776,73405751,-1,855856240,480348494,-1,383371624,-1,-1,926982533,201847622,227301160,573817807,290212061,983469829,893743325,472739467,396658676,976494280,470291914,313106068,929577133,255205434,437348288,-1,-1,-1,-1,-1,427211217,-1,186188698,671457307,-1,-1,172885357,867185860,-1,429977338,63564401,-1,533435581,-1,569315852,345239767,588780237,597489089,794180215,748002760,758443560,568263292,636917106,290144585,537904652,853277515,9980316,-1,42587989,155019341,623747462,997261874,734494568,-1,-1,786665718,392958432,301216031,914586862,-1,-1,391546384,-1,63004389,-1,-1,952427908,91777739,139685490,909025778,-1,797760936,464718658,249100462,769515831,485836959,-1,-1,545935305,449358616,110951568,114952245,28942977,-1,-1,-1,512496690,-1,-1,995872296,253510721,280258273,818312152,-1,-1,527551037,440016274,-1,563589874,280303232,275427194,-1,-1,-1,-1,746998240,-1,939685542,-1,362606829,-1,308996119,992933143,694515501,172813915,1915948,875380777,736807577,-1,142268138,185042221,146127497,-1,262389121,-1,-1,151220410,-1,109703844,-1,-1,610142026,894441912,68711000,790664938,-1,537336373,330647609,380176041,514720730,187222785,50414337,153558034,45461489,474330629,164030805,967146782,-1,-1,571242044,-1,-1,113994100,-1,413345074,299908175,267251117,79804730,632074783,29903193,865513332,324993773,-1,886609775,-1,-1,296700311,-1,625479332,191260879,-1,-1,695359769,821590689,103897462,851192588,703875859,575292136,242547248,260361038,346718320,-1,368520694,371968104,83907509,205017515,109081347,422015642,430426261,913940960,-1,171856276,-1,-1,935714500,480455494,683057127,450097011,655462483,-1,407661706,223508824,-1,-1,23259938,-1,132787475,244109173,803612351,-1,-1,134647698,419441131,760242866,485124369,499354715,-1,-1,760583386,678455002,883111496,454103252,99888008,-1,757930626,-1,-1,-1,393060461,229486997,-1,728564496,-1,556964432,-1,148495173,405250334,671462997,853024724,-1,-1,-1,787254192,456899000,886214766,361680366,209267481,772642700,13082272,980752285,144581740,85955696,-1,316212915,528129536,557971579,-1,-1,30350417,-1,4784920,630393067,-1,229420706,-1,408490356,868124582,860336443,-1,163191963,217104227,-1,339114803,382038434,857152633,469126401,235418498,87769497,470460021,471025986,245198504,172433160,736429042,171684203,10995643,331004250,-1,16693000,-1,775135814,347906255,705046357,790511550,826308634,779457790,-1,-1,282310655,590401626,341064155,71146439,343510852,-1,-1,919221710,987424759,572776059,608344650,-1,106091953,996309084,-1,580707372,-1,481255791,904400952,-1,272659716,628139753,523297204,311082285,844473255,337762947,-1,-1,829943162,792129454,969544272,794878340,-1,-1,955854445,797339569,530605639,-1,279636752,819637519,964519407,497045956,-1,-1,-1,3149560,291666354,-1,-1,887373459,989706856,548997033,-1,671285633,692324395,646267361,512550607,-1,460796133,648958404,369179986,-1,285883788,369836209,641714490,22759226,510529212,334702529,443747998,665321087,764861344,114704314,-1,-1,421901076,-1,434729628,299914248,-1,-1,-1,248377914,741155028,19730720,614872566,987699236,548474018,-1,794697561,702365728,289370271,736659796,238709374,-1,659662407,938341572,280405650,655684012,426700999,202040695,358133003,478455653,-1,691594593,357354360,369443430,381020446,-1,225658575,951226748,432103612,152294466,680602889,354624324,-1,579599887,838771968,13072459,910052477,-1,-1,-1,-1,-1,-1,679274781,162026931,-1,895128709,242999686,707249032,757210821,729624060,-1,86181752,430996775,370954916,312526216,148395625,890807777,-1,770840607,-1,747544269,-1,151533048,357830397,199793035,230726650,884755302,-1,-1,345239288,-1,-1,-1,437377304,792006634,844449539,928178202,268439349,-1,350054023,408548378,969790385,-1,868836412,-1,-1,-1,545981057,853662590,651685719,-1,261879591,710608011,17475516,-1,753534893,-1,844161575,-1,-1,872617236,-1,76496156,-1,342939954,609524972,-1,-1,214289161,-1,739225376,959249384,625116372,122002731,-1,846915867,-1,928338225,29400704,490691063,-1,-1,209912667,544382100,444505770,795825224,469403238,972248916,-1,863638441,-1,705432211,105489546,507104638,257883898,816953695,-1,807583451,943842940,664028447,-1,22430944,928197644,847255222,314845327,511560193,-1,102515471,-1,698433106,-1,-1,743704808,-1,996562808,-1,539804996,-1,326822960,673048495,454413639,-1,846102800,102696466,342344223,627832083,-1,755425304,-1,146389547,432384399,770810807,-1,362731123,667646052,-1,939365678,33011386,467000323,821476480,354985814,-1,-1,-1,293278329,493493912,143398041,5299568,707526295,-1,631824858,110408614,-1,346477569,-1,-1,-1,-1,110190487,734033685,-1,-1,935686250,90857652,79939622,762742252,-1,173449924,-1,496339245,-1,-1,38360596,446691803,686870274,-1,277336010,251187449,773676403,433351892,-1,58137697,-1,644143527,912852378,-1,123067011,-1,378836927,-1,763738837,243284500,118717741,650127690,865163819,-1,938411208,243525227,-1,694450632,862367742,219655633,460439401,333914694,-1,-1,779781886,229817210,599867652,338435728,505352278,-1,-1,16222254,-1,438761845,432433358,-1,-1,-1,-1,391065208,-1,982340996,522811691,690132608,979061434,-1,822936971,858442677,-1,-1,679975869,562524140,47510296,-1,509856934,-1,676086171,705432999,442762102,-1,57401989,793129647,-1,202729094,871462443,-1,201520625,280284264,316047676,939995625,-1,-1,-1,30042745,701704925,965841540,-1,294741872,77759665,951036052,874745039,-1,492205711,-1,-1,-1,-1,338355441,61934315,-1,240224476,4791012,-1,535883611,220033537,-1,587160243,-1,-1,946646897,744077962,177100810,666733946,-1,346383284,451232996,631931953,643061886,-1,928855639,752934941,214290984,980587369,380624394,46962302,-1,116249898,366041013,177430515,608583962,56133113,527162518,432696954,929171723,-1,-1,289875440,377079894,121412079,690070146,23944353,33195363,-1,-1,-1,641870153,109918346,988760418,729632608,-1,229178834,-1,-1,-1,882378790,36888140,-1,167969352,195522428,149316845,-1,-1,-1,148102657,402024328,41106021,325843600,-1,-1,-1,-1,666178537,137795212,697440822,776829499,-1,450729575,294097957,-1,237831604,929984028,-1,514742290,-1,200791165,647046558,-1,-1,741321076,-1,-1,588396790,-1,517339033,864171868,-1,269901638,-1,302858008,574675211,719483082,177746576,805160041,-1,195680667,757491717,-1,340940357,824192663,104054590,440629767,-1,-1,-1,772302691,702709306,24172939,146341414,606110322,305912457,86759544,-1,205887478,779098191,-1,-1,523987069,-1,-1,-1,-1,162505341,644487728,184242202,-1,-1,-1,324981984,998937928,171835912,797024367,908702223,680359519,67154530,513383723,-1,-1,-1,-1,805269843,887917560,399061778,819120148,-1,158453949,541036485,671821799,-1,532895638,-1,450993140,-1,279308274,642319551,-1,641703746,207404831,313405647,97162630,-1,232660369,280964353,902081404,-1,336476421,850072462,619235963,928138168,753933159,-1,363108202,97618964,-1,871901606,691978824,770290960,892971587,607949630,688357420,-1,271363069,-1,323775383,700220235,302263908,-1,428297147,-1,871073749,763186579,156363071,240378174,811277641,923295205,268535001,-1,862422419,606968228,589639309,243304519,567371337,587492801,319505642,602003515,598161726,77695554,172061818,-1,298291261,433924201,550964756,537306132,685933590,768119581,-1,-1,-1,-1,935799740,-1,-1,911482503,173660312,-1,751903089,-1,984799059,487549352,-1,289360444,117867415,-1,-1,-1,-1,679024120,509817799,-1,946155865,507136483,510161569,276540960,-1,-1,-1,464664871,680314102,-1,761058244,335352356,-1,-1,-1,699010968,724722045,520443422,-1,-1,473871822,-1,355064946,95830197,152816247,494148145,-1,903978635,-1,635059095,-1,990307517,337922646,901242634,400291683,-1,-1,303863995,-1,567352028,245652427,44523955,993716841,-1,-1,-1,701536848,830505960,357206267,851837221,233088332,839312162,211895860,940385134,79074009,-1,-1,358658708,85869772,784280044,259398100,-1,-1,-1,851168678,664916867,357021524,124353235,-1,967756168,-1,515418793,850275914,-1,-1,101184061,616819688,907213486,441535525,840798735,158564172,-1,353617340,546452380,688184790,523682727,-1,743107030,756427427,718549419,596836659,688370461,638791743,322790501,752956781,21578535,50542856,843824076,960974938,851760892,-1,854212882,-1,-1,336450518,777567788,381932305,-1,-1,-1,-1,851772167,843004206,463349677,165417556,647803765,858923880,713525583,54380807,587925902,414649491,63027851,364751882,14392860,-1,1444685,-1,652604796,-1,-1,130765837,507753591,628130846,755829279,921582134,994168698,929972568,945225165,-1,577645228,802710938,844970052,-1,-1,427470186,433299257,219426842,-1,487903168,326773245,511697715,372308242,986424537,-1,128017559,401950005,632090009,826171853,-1,93763996,296981094,984827524,671346444,436758117,169900080,-1,268669166,850971415,649138684,415917698,780319264,809392413,666507909,239943884,-1,449136627,304195010,44599961,342007808,281362599,858812989,-1,-1,754012780,389099858,401549105,-1,97610618,35339802,394099023,-1,434892368,-1,412351727,245042576,-1,181056743,-1,719472971,164778204,-1,990353124,526080815,81472549,-1,923017369,-1,975817706,860943932,596328345,670320248,930014440,-1,353705585,293269318,928124647,618357133,416900751,798576591,245758194,215837134,948294164,654627625,389205095,-1,519139714,-1,937296089,-1,-1,854972738,868272902,818510995,766339352,797715350,-1,-1,302196821,463394254,910213685,916764094,2956538,-1,871806150,896922798,425897096,432904276,671597187,816659178,-1,-1,342017385,344712379,96525346,481272482,285362806,-1,524061161,-1,407764895,225593014,479748174,666928583,68316255,887153390,140244923,134200827,-1,683939785,709830657,170526526,471661909,967107893,-1,-1,-1,-1,378460841,273549891,931745142,402480097,452212258,-1,585490115,79756494,516880526,705143321,201410753,933958205,-1,-1,429265767,-1,68945340,831969567,-1,889343051,738481600,-1,456521292,323345616,527806073,171646993,780496270,820944373,873862055,238061462,627879180,844071168,180463206,-1,237443563,-1,857298488,44896010,274635851,938296652,956572439,925239689,72962202,918075666,128245205,3942788,-1,129775868,-1,927430945,-1,-1,127699023,70044014,968157375,54991087,318252802,-1,-1,313932665,-1,745447001,148037005,91564422,-1,84412936,768283330,110702016,445556607,259437127,889880314,923340256,608504050,-1,391100524,87191395,871250481,182069189,-1,-1,72379927,484822828,796992358,-1,441935340,763574492,-1,760845616,-1,328616818,247873386,140288985,613809067,-1,611727076,-1,792640810,462861177,650247718,480067932,287341824,-1,-1,518160871,972605276,541205975,-1,-1,761072241,619597983,100818869,-1,-1,843811359,-1,-1,-1,992566929,875549122,-1,-1,683872771,631388219,-1,23779275,409701856,720768669,974053186,517302025,203458881,879690974,-1,395977531,-1,291276133,158150304,252429951,-1,754338768,610334569,115391501,550795270,-1,407350465,431459810,-1,-1,-1,-1,98746807,448876909,-1,723402654,740235019,941935522,674074338,-1,565161071,132107403,170802185,-1,-1,315545711,746105749,-1,89861451,-1,-1,-1,265512673,603830279,65312821,285045212,540631885,-1,-1,-1,332436743,269155619,399713779,171225539,89689411,-1,925364032,307870514,-1,643631616,-1,23143171,484381363,-1,-1,566674169,894532336,257109261,654175738,525512156,386270258,247647389,119133041,50767448,996927737,683304090,-1,-1,-1,856903973,324318452,-1,-1,-1,24882148,690177429,-1,403212523,589662531,-1,107426020,457474679,852759438,-1,-1,358391169,-1,879924505,346410089,99947077,42296397,-1,658785107,-1,-1,185913269,-1,271922445,218402446,534099394,571456145,-1,561622741,529239142,-1,630300775,217112669,50025910,158703405,956985648,761607999,-1,-1,341094129,559522888,-1,244865139,528505466,987667863,597512679,154936165,713271154,-1,577817500,120709206,238213018,-1,567868747,539217824,-1,648888325,432006093,-1,363374891,-1,636080736,-1,755914805,232358975,-1,548016768,510526329,297572092,634718929,109259648,996570899,512120412,641473726,257657722,-1,464175947,655424585,735837196,-1,466767858,-1,-1,-1,791011543,-1,337018660,-1,287707934,217277765,-1,-1,64724058,914060852,-1,759465245,765460113,363403970,-1,719041345,519385584,705786395,180431099,-1,-1,-1,-1,662768002,-1,-1,888467651,385330960,227040606,725865009,-1,548345289,-1,91005540,-1,785761817,458455364,199547246,521571029,171486396,863603781,11637798,488182073,401449727,-1,756872910,589481588,-1,-1,291058218,812768728,301544589,-1,409823867,251306760,941651727,405287712,330572361,245863034,448911935,350197584,249234248,489758928,919322229,164517872,789039232,933273096,-1,210553448,394233725,-1,-1,717674789,170268111,424192282,-1,248153563,-1,660608596,510763419,-1,-1,307998999,393378813,-1,836041172,-1,992313067,-1,909707649,577006120,666489591,564680091,-1,273581865,246154077,-1,228484803,39347678,177413381,210816767,985127686,-1,976504255,-1,-1,217135490,-1,-1,976801428,472485568,-1,84722370,-1,972556599,-1,823039291,-1,-1,-1,326856581,-1,-1,963418770,776458438,961940932,694871154,-1,-1,734120384,697073801,380870774,112895257,-1,-1,-1,450003066,181753189,755974977,-1,759885396,598487102,955485656,-1,-1,750957878,629913958,-1,-1,-1,-1,-1,-1,516841934,799570839,302202959,553055192,-1,187869428,788046717,-1,263090710,96241212,592678326,588573227,711586248,490396673,-1,-1,624085142,762110116,942147803,-1,330530323,803400343,-1,657341289,557170504,852039826,887837610,-1,72342626,492118617,-1,377937272,354233120,983210692,-1,447227594,980361467,-1,84577383,726686955,399958596,737062751,807092797,-1,376218195,213923989,856072157,400961694,63002846,60377693,494715307,-1,407250429,821814528,583608094,312104597,490497973,-1,10875780,-1,70960342,351896519,-1,353120980,-1,125434482,599562647,398698828,710008086,342955533,240891153,410432887,963724723,266398799,514457360,217991835,503695458,405889433,182984889,723202218,643140418,748362000,881880356,876910908,331040588,956473821,202205795,644412383,-1,-1,-1,486584354,989888799,913862931,390196104,-1,-1,637339814,761645454,-1,921499818,81647422,165527678,956749674,249693577,-1,275905273,992368255,-1,275392630,917523304,-1,-1,752340413,764125599,-1,-1,634438550,-1,-1,484705193,696529473,-1,909642680,-1,134917426,937759758,-1,112335170,981498233,283333982,999315672,502597822,-1,691657433,438979699,864054990,-1,344400755,-1,-1,568607627,-1,-1,509292808,667013371,850210093,342580114,940726775,917247210,-1,315160484,-1,786123209,938300552,-1,787073269,678615981,-1,883562830,856818948,568325440,586020375,189778727,385645962,609091455,319528491,5680260,34993159,416414919,925865620,757272633,273618672,-1,-1,332078823,221624745,-1,-1,570965419,-1,278485160,797414895,471385765,407305282,815459071,-1,-1,-1,909442003,-1,333570042,434946387,-1,-1,502737789,729181627,512085065,-1,335491558,906601554,323247726,-1,767521578,34125748,136682317,127641613,-1,-1,521985240,-1,-1,603966632,905836016,176241536,693744424,141879515,-1,865657550,210801514,593597344,284822330,152293923,837141234,990756666,235266737,600967132,260557173,405031076,584640271,572561591,834325482,-1,282081665,986457897,398878066,208951685,403399629,520538679,314014863,39896232,-1,689430033,48121244,155654298,-1,733797853,859748507,-1,242135343,974619431,926055363,254908297,149075779,102692771,-1,578931480,175825651,-1,-1,463985812,420674679,378907026,-1,-1,-1,-1,806085534,886590283,-1,676619708,-1,-1,58915190,508526054,426188497,288917225,354798328,-1,424283526,815115197,176008577,669658204,717719073,815425279,962336259,-1,752966772,675521066,273317088,376066895,966272009,-1,747525267,-1,593613381,304273198,-1,-1,476067071,984995093,865825124,389557229,388315946,138283535,-1,784762142,153070984,508726548,-1,907089934,320344015,644551180,411580814,-1,736291064,401453397,691581442,348343100,291144084,-1,978409390,340281819,418017229,87997087,995850838,100782147,338738256,616440745,695457420,-1,598148480,721637029,89833294,-1,973539301,408637916,759916260,621566111,-1,-1,942396787,-1,-1,732420897,259528572,356576506,477949884,662053842,-1,696295564,-1,365102342,322101545,-1,-1,709396065,11556486,-1,218276915,421420360,922428444,868223776,315208136,-1,687498611,801422609,87513994,858061946,315138026,703533698,-1,65378401,506858629,987863587,73549784,-1,-1,270309189,154807091,246677942,74085566,573903475,598304319,702626378,-1,407939617,275841571,923087580,444566978,657589822,418243771,38611728,-1,-1,457643397,605134356,481828111,49426092,330377807,694795525,-1,-1,22800908,-1,268529076,192998309,326853025,-1,838049424,364070209,923278537,-1,291829259,-1,15673269,-1,965865992,-1,672197842,714102206,-1,513638778,-1,204580787,628606845,895500700,359594633,-1,359917966,353247429,-1,912864335,944271036,-1,602162427,-1,667507419,359761051,651452483,430443852,926903131,94952383,132910934,-1,141098199,236667527,896800106,170689851,264316616,668569208,694998081,-1,563479021,-1,-1,19720212,600001561,427134853,542488010,147895280,-1,-1,12469497,-1,819392618,542185471,380957471,123736958,-1,-1,109070078,920886910,-1,-1,589256943,368172835,-1,-1,525616815,964310989,-1,-1,10132739,72688748,226208053,-1,972127330,-1,-1,-1,820609551,298684329,803314049,-1,-1,-1,56219854,31503276,256751226,249007925,797591462,186518824,110981495,-1,-1,41338817,806715058,-1,754880721,483864034,906109670,-1,286156371,24749274,439315972,-1,-1,922748739,414443846,916778699,690090792,166512525,756739008,525845110,71304684,197727644,721333641,-1,574866389,-1,532105198,466559563,-1,-1,171235238,273734094,468054484,628923729,130279662,-1,718866393,592948485,-1,817442978,906964203,883156884,-1,-1,-1,382040871,116866625,532322406,78985472,767696048,424917179,202684802,764435034,299593346,658414399,354976644,-1,375843983,-1,227260056,929814092,-1,336267371,457717289,36658861,499165996,733401947,-1,-1,576923748,446145102,437327123,602904065,802907509,530029742,699296188,759072545,326205107,584104854,119641092,501630372,126469027,-1,-1,-1,86899488,966835069,815048153,5746773,744384124,201045023,746294407,-1,510994569,48835511,589319716,807096913,341436671,54077618,259580326,823852257,-1,-1,286219382,700067573,601682914,413280262,748104794,342776304,826851327,729738110,160260392,902352549,846183350,112542393,-1,645283760,122264076,-1,75566819,-1,-1,122279042,857560708,752533165,960614436,330853357,719083208,-1,829714923,883375311,592941242,862587278,761734171,778156697,-1,27837116,106372557,361041107,356125323,-1,996792543,541787128,707003863,-1,526657053,-1,811658241,-1,922496607,899232663,676269759,-1,955770513,-1,-1,762147375,744977529,-1,827054951,730295304,16359816,928342416,809484967,-1,51602938,-1,145331401,-1,-1,691613474,-1,-1,412299012,-1,-1,987465463,140281816,-1,-1,754804717,868410531,108855882,166235082,-1,148067559,628856894,116961981,748033210,454912924,31820120,-1,785671478,219672831,613333426,783210348,-1,-1,-1,829936348,862402344,-1,437781242,984237945,655653249,354904670,-1,574473084,-1,550973502,583433140,933305113,597112290,125864889,201316496,587261472,963230637,731376772,-1,-1,392125602,297502429,503744956,-1,-1,714999291,-1,976923870,-1,512992268,118567432,-1,347980745,68324189,-1,774986126,576682251,468620198,698141593,722066023,643277329,95233828,410997854,-1,322047003,180043521,423797617,773098677,777629399,710845108,-1,127350750,593382825,305819748,591035259,518754315,146863116,56053982,602233102,184737874,315664789,236571766,559436795,262029172,316867005,274311566,-1,874958376,-1,534988174,397609815,475451877,583275742,-1,-1,599942814,115835818,88772829,774889958,503427265,-1,938855334,-1,238744513,889530690,635242851,535542742,-1,411096604,-1,924209332,-1,-1,864561711,430821633,295886265,-1,685515244,644560515,766527551,95160272,390844599,-1,559055427,151839425,931039520,672264835,635444453,730846355,120788987,375749960,-1,-1,862466209,955656766,419708993,-1,411536842,436743312,-1,273201992,338187981,275677300,960546786,567817533,774905352,778828532,598109896,834383080,542800965,-1,449997059,230949073,-1,170449498,-1,-1,25470702,664681734,-1,807861605,820957490,588616124,491485864,298441768,541587448,644722768,-1,418785158,341305769,104579729,-1,103956763,862583651,530188455,680091767,924306260,137837122,-1,696317904,335427087,852651079,405521655,822165262,-1,640452994,834522241,-1,693112583,829750916,927302456,911616218,411415934,166583854,-1,-1,-1,319771199,408016318,-1,629282176,807183774,-1,-1,938823899,-1,305577267,889612003,-1,297655297,712593854,876524843,132580088,579824258,780730361,403079482,-1,257964578,730447812,-1,931434143,579715175,-1,-1,538434038,309344531,532492923,578823796,-1,98427616,445573181,208602854,414103634,466804809,-1,752838369,-1,810517746,393842673,26446526,746618073,154140077,493832864,-1,979724204,-1,201073982,414818503,727480035,-1,-1,527771906,146695788,393744699,600959100,831028969,-1,30738162,-1,-1,-1,583519749,610154348,265240490,86192495,361332228,190226628,995023500,-1,903640842,247511524,-1,969873347,390137776,-1,702017081,912929117,799839907,577507815,-1,422772834,241456360,-1,848131514,176595862,637129313,107154520,-1,-1,107517627,558815936,600235782,-1,801980150,210514264,403001121,420390674,-1,920214124,247782973,564150426,-1,-1,-1,729201598,605517079,603869667,263723128,114949189,168916262,662828800,-1,-1,-1,-1,274793103,-1,656574588,852928945,575961282,662475462,290898869,-1,48002544,395806426,-1,179627841,-1,310915094,609284388,181414335,421186029,658602491,819530920,-1,1129078,490801276,174184377,668438706,184648175,144580580,-1,-1,3792685,-1,-1,765990398,638980534,-1,538293860,-1,421099095,91413788,-1,-1,54192695,786259942,-1,-1,465815986,404172628,221638227,867647268,-1,369674913,-1,-1,785010648,253976823,-1,21549144,100557455,174917191,-1,372824099,555397960,-1,-1,733848854,709758012,244376987,296904217,233223576,814673075,134020283,28037216,955112310,-1,734509324,-1,-1,301384959,633700895,236739123,634325897,630762871,6757073,24818529,433282471,562327476,-1,523627370,625436457,866357731,118167091,682484930,-1,-1,-1,-1,885563542,999368845,902247174,-1,343909713,254364884,-1,336356768,-1,850054303,247485207,295697876,474437408,918693813,3950186,375863711,464376563,240922573,148407899,-1,-1,-1,727176707,598309748,148827128,-1,433370713,-1,889513857,673049268,-1,713745478,97095652,319871174,325124695,-1,958721844,34061151,-1,-1,-1,-1,360360643,-1,688847112,-1,404752309,859906043,150315782,-1,-1,715911706,750083430,725121191,574192567,-1,489574802,770922242,-1,-1,414222875,451094840,-1,367846479,-1,-1,-1,749807265,317992292,-1,914147365,817574672,-1,997051808,608888728,585003740,-1,289325712,-1,-1,990778081,678711595,123048164,197155544,580320030,2202641,586512638,67523344,-1,962146707,693883257,-1,-1,720850607,624617458,104320487,-1,355285204,445150960,-1,988115673,161849262,779003828,947555781,486972801,325284494,349864825,386819540,945772360,-1,-1,-1,155725534,654700379,132544698,938783185,32659899,119370214,114166688,-1,6915828,647856402,-1,888733338,-1,381203330,942374622,514077131,487190467,108971278,37732332,972304640,596178881,444211968,109115662,15497107,-1,926088181,632432467,225091780,220224956,-1,-1,246664150,438091110,397224776,406462246,-1,425489747,457438878,204019766,401845518,-1,510278282,453176826,376512543,122494574,437032324,292367646,857441451,624473230,661318250,-1,57386657,-1,-1,-1,466853929,816943048,308885718,-1,592704838,292870246,279745055,542527315,88444851,-1,-1,990615980,747143703,-1,943927871,960095018,-1,-1,919063775,97165029,963432539,744880205,333564138,-1,243358713,421907226,564595243,-1,720566055,346103625,-1,848917338,438013501,583082804,106721447,-1,-1,728785632,314857026,337254033,78858968,30805947,-1,-1,536042474,54161170,220589389,698710202,87131770,741462387,-1,382920142,684926724,418315588,227267086,732867612,487638395,192649984,519872347,705915714,289010369,843106383,-1,621994822,-1,182322514,830926987,-1,-1,-1,757707353,151924631,797661893,-1,124284781,881510619,337409745,752232024,592863434,-1,2679995,-1,262223015,827743643,-1,-1,410148674,571296530,-1,305541883,-1,40921030,-1,713948739,-1,891241249,953342216,-1,557000413,-1,922242147,-1,-1,-1,791334499,494877694,-1,988384275,-1,710205838,-1,520126536,691575770,-1,841500626,-1,-1,913789955,596943019,944139733,346084985,474548960,144089743,127447233,-1,239522644,268298851,114254825,-1,699463747,850230870,-1,555462296,272182071,728971098,859470202,265631951,-1,429149759,489570000,286038635,630086525,742812893,983064176,-1,-1,258974042,692364742,-1,861252816,-1,159162264,986716019,276334021,995254789,657479193,-1,-1,816998763,510945226,-1,530057771,307105303,890889366,-1,-1,507476375,895372868,-1,439074834,538160060,-1,69682711,-1,-1,-1,585370437,379373716,-1,229596979,458698656,86669141,78525609,-1,741967867,904063933,41612538,101480011,887711036,482804435,892115580,861090085,507180079,359861798,787356367,180229794,445689187,-1,737802671,688976673,780108488,196016690,130930156,415096274,281324819,142266084,-1,61992466,806269410,661120990,-1,-1,227887242,79888491,701275832,996562128,-1,122067348,776822920,-1,810588405,-1,790834571,-1,-1,-1,482886290,453876841,212097811,926651686,776050861,879838328,-1,92757929,646305167,413913825,146771085,-1,435720667,368244492,774819498,845603821,974625759,91299226,-1,7574721,579984916,197634300,595538745,60365532,-1,173552166,-1,392082921,670760388,314140459,-1,-1,309087825,164911331,44158636,-1,-1,810391412,545129945,-1,955024128,967222323,-1,968874382,598105983,328079263,-1,7432048,-1,392972808,-1,-1,600037737,-1,-1,-1,202709502,514246773,898689260,441764708,722149963,146438419,-1,-1,-1,-1,149631213,-1,14715010,-1,-1,506489289,384233616,-1,-1,-1,856090210,716866884,-1,889217341,-1,902150481,99444723,981220725,976628727,498378045,-1,740730186,158942654,789949543,386796782,594535,85740100,-1,843747317,-1,663539172,135775450,76229849,388254895,520895469,742195939,-1,-1,-1,643513883,-1,65560436,293612214,919823816,340567804,-1,125484628,696013946,996512227,12910056,65989410,465388210,103962558,581566022,185184583,357634695,507836669,518837838,929276411,516346815,-1,877973393,279160016,262960997,120112805,516951301,-1,-1,835049044,201333167,-1,628687184,612716448,847934214,722250321,361149050,635291475,-1,661586245,-1,569696503,455548655,-1,794423812,-1,671444579,757558731,141266698,333296979,-1,615875281,731537124,229755205,248526971,483983906,494955583,-1,-1,-1,-1,-1,509560877,105974321,302925111,-1,805866829,16817897,614992939,-1,-1,832832882,-1,796116362,-1,816332689,874949663,876050063,812875000,-1,-1,786100161,880144286,274707298,478224844,728290713,562930395,-1,444717461,-1,992227262,240777067,605438352,405887160,355132002,226070516,-1,366010797,55174365,-1,324699519,155504175,156922717,173817558,394513262,989117662,-1,-1,153231606,399565187,727827686,-1,-1,266778677,-1,-1,290320818,-1,913234730,-1,946583766,756128018,142800844,784327116,-1,451052869,-1,-1,-1,262597990,211655909,410804149,-1,-1,897494688,660108399,-1,-1,-1,-1,3978446,809052822,460601040,168933669,702950821,867350800,728638680,448803416,-1,814097399,948645719,136493574,683380733,-1,359070715,138130223,258338728,809097815,165655149,-1,-1,669889658,930533949,802637414,-1,-1,229702253,-1,464682478,136367108,914940589,10816913,153519324,-1,98889335,109045486,996491658,148726793,531430317,458044097,782721612,-1,903992385,482551480,990765656,65520323,134926361,265675580,138925096,119682265,-1,365149710,272106212,420182444,-1,-1,-1,314688964,265158800,-1,701538144,-1,648668865,-1,418019135,310216774,945472296,437094367,785955472,40815202,211680240,-1,335014651,496601305,414888330,984858043,573151484,-1,423619525,371386183,358990969,494566531,-1,424441152,13557963,110983871,125980410,169822811,-1,107666199,316982267,-1,73978852,290037715,800034965,434963249,383284258,671997758,833860244,-1,291976996,906261313,810860999,-1,919915285,-1,120569379,807835862,-1,-1,194578408,270663173,362296311,289464582,753348886,233144635,733688564,154623292,-1,713653856,482659354,-1,962380432,377663811,119222686,4594964,-1,698724380,-1,658633609,-1,993380178,334667907,649360876,-1,289968299,338180050,922952576,-1,-1,-1,185918540,-1,610300096,637345809,725021298,242621048,-1,368764303,511292006,-1,-1,-1,217419775,-1,256741102,-1,884560265,526737158,958269547,722137099,-1,882096554,-1,232691155,5608338,98753992,-1,863019337,-1,806242258,-1,167330168,969641505,803134177,-1,153879053,233601292,57568215,-1,602371474,-1,-1,858822228,282020758,-1,-1,315073677,-1,613328577,370544016,188308938,25707036,-1,317546026,795071054,-1,829218072,743406689,536538865,458759321,718836341,-1,-1,175821742,528863243,128916837,845251687,566023015,828331402,898274445,962047345,-1,759605654,727777837,-1,214624272,928360363,995653407,579209895,-1,386369930,-1,-1,522327071,649991130,909839540,297742079,-1,-1,-1,-1,48773593,-1,253004694,932437062,190113696,506715958,648184345,-1,808024357,320857062,137528809,707914179,801393792,964969990,898638177,-1,-1,301555694,91765649,85877055,-1,-1,613679774,335608594,822578714,127823043,348559670,-1,264673421,337881263,972961731,883380968,89178697,491787046,187892437,206808414,-1,-1,757436471,-1,-1,-1,-1,546994915,333511152,464406959,852974138,279198141,9072900,33748758,-1,853674725,246477018,-1,640250362,-1,902293565,322246819,447487539,808036052,-1,-1,651583364,-1,431140373,-1), 989012398) + } + + test("test6") { + assertEquals(Main.minDifference(750354075,333104895,149585610,913304939,486884091,-1,423409213,619193586,801032135,23239194,-1,960617650,716568388,454368596,775346308,-1,160838491,-1,953206344,528922884,460852141,789438249,495190519,762287796,-1,895256185,671333928,-1,509490608,45375807,30748526,45201715,319337599,305459524,110103463,415437222,632683939,807415592,315902108,-1,-1,386412863,422717534,191675962,490771639,483651298,469143448,-1,777708674,568551760,944851986,768634633,346180079,-1,48897687,11492079,424165645,724714816,-1,800038304,556233966,-1,443551152,-1,-1,657852597,339792147,264756176,-1,591202430,178507874,863245265,692740254,571041122,820448847,-1,15048234,-1,714128073,975959336,697135675,107931238,736438337,-1,-1,647545167,19589420,726720414,945260610,359566994,508867227,-1,291035375,354195654,379918933,14231756,971529346,-1,-1,-1,937135215,-1,296020667,314268656,607989192,692824692,-1,-1,258206532,278948505,730402328,146269497,-1,927600825,817150863,203880242,-1,487749729,336535420,242646779,580015135,661291099,14497958,438091043,374515137,-1,825329758,-1,997438,549989810,231545722,704253711,61894509,706670877,-1,-1,100323418,660879629,-1,362981139,701311619,757211392,432019754,142831312,841913770,-1,-1,518180118,192197812,61801117,652081046,841953688,590579855,443306811,337073301,840489801,573390284,948586567,-1,-1,951195659,443870681,742415060,108738005,273519060,20194741,76757136,-1,-1,15101558,139668628,360688131,-1,-1,-1,405901610,31888203,797024224,971941902,555764211,306570246,544030224,-1,-1,444096767,852360687,-1,-1,332402522,257494357,-1,713593932,-1,37021437,793327639,702066520,593315312,227271645,-1,-1,700588003,286212432,586419829,222517459,-1,923341878,264924778,467114937,524999435,15069508,-1,-1,766766332,-1,279432189,226271872,850277791,-1,894954363,147005277,-1,799161112,423585761,126929701,12148437,662736433,703847740,421864386,-1,303861165,-1,3505059,627955267,845914858,984314272,878415174,783761631,-1,623892091,287794903,-1,866845259,-1,489176224,934575336,867137150,869749387,988817,-1,481229889,-1,-1,687241435,634389314,-1,48131765,240189953,189222866,966200741,73439369,818620700,-1,982502011,-1,-1,-1,36689018,791435649,-1,328258874,-1,998612506,-1,391716054,873505518,467833288,-1,-1,188421752,-1,533631260,557677902,144144054,-1,-1,640118945,459949394,238100375,712072099,443030912,-1,-1,-1,-1,953848804,783287336,-1,-1,-1,-1,519976225,434181421,-1,135573903,480053889,-1,-1,198552093,233249046,77120626,418969664,423614790,454564790,-1,215052081,-1,763497699,673041746,985641407,849187599,798920212,-1,402432633,721370438,641427647,-1,458968992,540202952,928310089,252154342,12455793,697747332,282600926,139097985,-1,615549972,-1,744566208,-1,-1,-1,662850577,106648986,587932569,332930792,656699169,105436608,577088404,856277825,-1,291881610,550652832,568239024,770352970,443942566,-1,639330032,-1,20721074,208991011,953138174,-1,898949380,-1,721044100,448590842,600747313,462363354,798782558,875529077,156270103,597340205,637730293,333805304,256310355,30889384,825909151,752669278,491366251,101203404,656890471,289076131,219843546,930334747,541090192,292587792,162011564,37152022,28272282,729979471,802781092,761201204,562258755,557705877,349312432,482385039,28609843,-1,-1,201891463,793322026,-1,-1,946112315,843096449,812377714,-1,507345175,666077813,-1,722427230,894887547,795281320,296449808,695190480,678196712,139702985,643260614,180444616,838239613,-1,698311433,-1,-1,-1,535675103,951232355,-1,9626561,620347530,-1,209216605,676342788,79939000,678785610,471819049,17164808,878074012,212114659,217901083,390786861,327924944,748583654,48150951,373676068,284242782,-1,806777596,-1,-1,-1,557486029,416711372,656827237,632923372,866360231,-1,773047351,385941787,463976124,635721685,45956147,256605937,285495877,473808119,799118708,487725886,-1,-1,376982869,340886155,-1,-1,734871035,882374002,633300897,255709935,296413218,147532429,219741926,668934632,568215810,511769414,67466,273860078,828479508,853043798,17436933,-1,-1,865367859,827416730,-1,771130767,-1,565550952,-1,697649475,-1,965071147,849090481,627931657,-1,-1,205769109,770764257,247569857,602162069,112646521,112965731,855161862,797577511,352762304,-1,905818660,-1,554517391,-1,-1,608707510,434107482,-1,904666592,387223065,171017980,814739570,542544871,611002773,-1,408050485,952759979,949574216,-1,-1,-1,605047321,-1,-1,-1,862675932,463129576,206416067,517762724,879866672,-1,-1,-1,218767642,140748632,477472666,714179334,994339161,547152318,-1,-1,788061060,829504394,110623548,618294193,901445089,-1,-1,821483952,944996696,938825580,-1,-1,-1,908263320,436846300,-1,571880916,886804164,539432085,-1,-1,306835362,470423228,46093320,896807301,-1,-1,208010925,430774292,392672418,15525366,-1,827023685,-1,676998921,-1,-1,306466277,904903598,165845036,770434260,-1,892162555,766564505,671196283,805854473,613140238,733045421,-1,870958769,436796713,807542616,855636650,420618120,851353404,-1,822487788,18862516,572986760,820721087,727717680,529468732,418525315,-1,425334640,937433740,386513178,105984388,-1,827375171,-1,427691325,282125385,523713173,699132149,974211565,59995414,287633500,796182946,723521899,19174997,847582730,-1,641380290,971867625,590667840,52725209,735128660,688930420,893892921,963822978,933878988,401264820,-1,-1,948216471,379860703,-1,-1,188044767,955787523,-1,616000179,217185936,662950529,321664031,340261068,404253707,256350455,-1,555985130,399723792,679495205,625897476,212895037,261912157,508617808,10036501,802066995,-1,-1,255104663,467743793,428388511,936223830,751572182,-1,536113077,400008598,720065979,656648934,166470276,438933203,-1,302709769,642650576,-1,406609353,-1,296677455,775247678,520984395,59358564,73208163,-1,732381225,444949374,403068988,644124270,-1,363698871,-1,-1,35625601,581938905,583582134,-1,138037244,345108693,-1,746443795,-1,-1,-1,-1,-1,110356926,51287992,-1,-1,-1,-1,473789710,-1,579482037,-1,770228050,-1,351695680,-1,607851507,249505476,-1,262685777,732588021,5447358,-1,911723316,-1,387192321,643279012,-1,302534656,-1,-1,453294651,183892906,216122066,138952695,742644018,-1,-1,840635936,997137547,711662625,287003633,-1,820829570,-1,644732399,736229532,432315174,771798991,283475163,6855074,29662979,106632798,144978703,635654468,826166366,820825743,57014518,-1,-1,699737230,525978255,333327056,-1,962107695,793192838,429100972,981988194,138619976,-1,881892735,490003640,777904600,-1,308713639,-1,918936982,96375201,-1,75761825,379426270,-1,351950566,367282296,888953856,865139070,-1,291027995,-1,269754590,26255766,-1,841549022,-1,191037297,103944367,983353834,-1,-1,491708922,505714992,367294561,975460304,393774254,681278546,188052591,-1,577829113,-1,668779,610828936,262817604,705010433,566054827,-1,752615809,-1,492454013,293692429,-1,610781428,-1,920142205,657343286,535808064,-1,-1,194717565,-1,-1,-1,-1,463124855,-1,374274136,427068840,848492330,758125992,656722101,-1,638333492,-1,228803182,-1,440412624,-1,-1,-1,564429328,186971044,-1,368359821,132731499,987433199,-1,806074967,573320952,736902215,411125324,585302394,-1,403812371,-1,-1,-1,971474208,693008351,386663718,-1,70894880,833854966,106630467,977919852,192929687,-1,-1,260706598,219969115,48179921,-1,514454345,-1,-1,-1,428467592,861922112,-1,464641229,482312275,601649387,314291501,857137342,696841860,285371297,719523237,-1,336100322,915616569,580789430,311214512,928454783,755345646,-1,519517943,483375174,-1,-1,-1,105745046,944563433,257315202,-1,215407877,-1,-1,542227517,924606065,66140737,105833010,425484002,68106932,-1,-1,134970077,-1,718177063,274241218,365909221,255997653,-1,115270305,88207043,-1,211574307,-1,691031884,512174236,481607971,-1,-1,469220356,4627849,-1,960117910,16250651,361258512,779903339,287542391,440812924,540626085,559172529,704236445,884908520,472055869,697010982,580130269,-1,864816255,-1,425634503,17369772,-1,-1,-1,893912459,956909298,837701818,884008890,880726960,-1,600685155,995414792,116758441,771008860,-1,-1,579876401,734660674,-1,-1,-1,427129225,23809459,-1,130008384,741341664,29131661,921216409,517600299,855715893,764401744,696279761,-1,627772398,175240797,-1,-1,61367115,-1,984678999,-1,877616305,571488045,262541823,746070267,-1,904925412,960212269,257953461,430831144,237311733,459270918,826780159,-1,853451881,318567497,900377655,173306803,-1,248075150,412598265,-1,201854112,638325000,536512772,57507468,-1,322729508,515661709,646561106,164202826,100442316,-1,234618604,210796932,-1,-1,855995710,298669687,835808494,81867528,70434601,648608977,774281964,-1,461352867,589897246,-1,272345520,846908295,925824497,127469997,715485919,-1,-1,833100738,708007578,224135339,330713043,711480515,892719838,221189804,229492797,374737556,-1,804409658,-1,-1,-1,-1,473949326,265298193,690539182,-1,-1,485880181,108931227,456749260,676986283,193580795,-1,139141004,176296091,-1,696630221,-1,-1,405629303,-1,838157309,972247761,199753147,118185924,800155868,-1,900662973,-1,-1,923850164,282959658,984887658,246574123,-1,-1,-1,723477645,-1,267348223,118755819,360168867,758766842,679139790,389909373,811635824,365839008,756838476,652476124,250237833,-1,81135880,-1,-1,871229793,978301658,199431078,-1,307989396,-1,705136478,930677560,147780599,849413727,198165153,276925018,-1,391790864,362163022,-1,-1,627342874,-1,863088743,644920104,750726082,209165074,-1,448026701,28481707,985268378,89619551,386834524,39026153,-1,831018424,-1,308265140,993747400,351061721,-1,460644664,-1,382233442,121812234,753764203,646992960,-1,-1,865219106,144817510,220763040,112471804,322901428,963448303,670367409,-1,-1,-1,239304507,806922611,965757209,492966680,618115641,578509822,-1,-1,939898143,298950396,-1,679223493,-1,-1,347745097,402711770,902828911,175931967,-1,-1,683655236,856841745,926922521,-1,402301107,-1,124488035,523089174,-1,898662342,-1,-1,119019550,740700393,381758455,508914983,797546213,800544027,422397333,-1,-1,297465749,303074932,962003897,861579022,-1,-1,300541754,437156155,55921672,353595266,840271654,-1,-1,-1,796306735,596706145,808562593,-1,162745888,713327921,-1,-1,618833454,-1,29171227,797898758,-1,122525166,-1,-1,586791531,272464198,6753662,610250610,337965106,526881859,829100540,-1,-1,-1,-1,990477433,789195411,-1,803208641,511077415,-1,682042406,-1,384727057,618668751,10585914,-1,-1,280325842,962681556,-1,-1,127277983,29170238,322062291,329693743,705915788,512387928,45037026,-1,-1,875655908,505530765,232761648,-1,173174742,912413804,896119662,729251521,899227580,-1,39844031,627847231,976523753,332019405,378414034,-1,591375495,967276363,833672584,-1,534729125,106746204,897208309,226871715,479119517,897536012,-1,-1,923448367,586057931,725097053,5966449,516992503,741377839,469198322,611427099,441404882,865299064,826982215,-1,517477140,569054790,483063266,-1,-1,258825422,706896522,16426698,598014292,829121394,628434961,767344476,27572270,486005887,731802347,325492852,421012603,524482150,723011972,-1,95932095,-1,693544106,569319296,898792863,-1,292665739,322050938,832249864,957970521,527124045,-1,-1,104602051,-1,731670845,-1,137439164,779641232,931145307,349033237,-1,-1,-1,237988484,497377777,836031626,-1,-1,988403096,668308836,-1,895724894,365638675,216111061,-1,332444650,158678387,626950666,-1,71439817,-1,818832081,826147219,159777918,807213080,710362698,147963923,572142136,407699692,916303783,986807105,649426031,502198542,-1,37092997,-1,147167743,756688388,-1,-1,-1,-1,981353250,-1,228682838,449402753,661890742,-1,-1,637321413,16898555,-1,145604192,-1,724536218,-1,637030353,544898522,72585419,416940982,844839487,560486891,962649268,43698562,36924304,275327175,706723482,686914737,-1,917532369,-1,416478795,939633202,948450648,-1,623891906,791917000,183170756,812910943,452980484,970775972,981903389,927103729,-1,-1,715982722,-1,247916542,353735488,39664245,787445634,-1,-1,570836180,-1,777866187,81342851,704409689,856915013,681433908,71271248,-1,118988656,-1,967201910,753187886,319403112,-1,783101313,10409907,707687077,182628077,-1,704083729,-1,185643964,885963505,-1,87651731,972359628,-1,708999754,-1,637985120,47133065,125999243,-1,577618405,804525174,324260937,468810209,941883191,369585036,-1,268501219,922855723,880717927,850270823,428482330,114280597,197875885,664903199,-1,-1,908338293,-1,740794911,241916062,-1,-1,170248049,-1,877113010,-1,923445406,908856852,-1,-1,-1,510679340,150457514,731098991,-1,945766996,741190620,530190997,953425430,864608330,829610285,478044835,-1,670637378,-1,-1,-1,485847853,56195261,-1,-1,313243410,833858095,-1,-1,431201474,128704288,178581251,675812518,729459304,539502012,512094841,883985687,-1,725098305,842691559,382451459,839599913,825130392,-1,668540943,216287015,-1,393319955,-1,630349894,119416819,-1,-1,-1,434748664,121171200,-1,194672495,58046221,-1,669031497,994505269,307952665,772027181,507950381,923506876,532961037,531631870,391232359,652962403,982523988,647194936,266722041,658398592,700782408,354830056,731769892,496161897,19278479,138535861,456810365,-1,414747567,330395496,-1,759230412,202310004,90227590,877586435,30806249,436751945,538364233,-1,414436403,711380544,698122919,122044876,269660091,-1,169532968,-1,-1,501914885,615922967,598046996,175043950,-1,-1,128923162,471354361,993944067,-1,-1,38254036,822826910,478856262,676868350,750037574,764542833,77923081,919861779,-1,-1,158920947,60933070,142226568,-1,740992775,603934409,205912483,336245910,314063613,-1,-1,140491907,254600523,789351093,985153144,750581140,808516685,-1,599388614,-1,672959369,-1,728255075,528382203,-1,238261592,953125437,466539267,739466873,968253890,708802508,408054272,916242117,567549192,886158890,922849320,442951227,358457920,146896948,-1,-1,314842719,385187242,-1,-1,-1,438489919,459087512,-1,463535316,339204214,-1,140760548,-1,-1,231255049,290771328,481692191,946957558,201548081,662369398,837731038,-1,225226527,522096489,141870674,637025091,958198750,179540111,529772779,992242199,756938124,965238024,-1,414247458,665541124,532007757,80999572,640920250,382493096,754919876,781367249,193078532,571112994,-1,53317117,651878779,780343443,844841660,136276224,836280907,-1,689534003,955369795,197702567,-1,-1,-1,-1,-1,408017406,298584609,724396105,515387955,-1,949930739,244211089,35870021,44975677,-1,407212851,260209996,-1,229323784,260222389,683801496,80681649,-1,-1,350687380,-1,963741063,-1,-1,565917236,650617996,437828603,228984967,462704835,525259863,731955264,27437196,62666482,-1,472740370,863488174,347093266,-1,408038339,-1,-1,155780366,-1,-1,278112408,686281155,-1,305187190,-1,984683792,652375441,124382083,809450511,-1,-1,699556805,125980680,860106091,499079983,449436807,640886442,427936789,-1,-1,961926724,797820910,260667552,184386604,618080988,780739778,-1,650135028,-1,-1,-1,-1,717433620,-1,665824804,800360804,785178002,-1,73068862,74202335,-1,-1,273560890,-1,669754308,756579719,-1,499911658,489852592,-1,-1,442127650,9704780,-1,175384821,102215764,477505882,708848908,-1,676294290,672062132,326913525,98956421,-1,762220915,26800616,-1,524097887,78127206,342153920,256376961,-1,921214262,863029912,-1,893093382,520967740,-1,626171527,635561361,342251320,112727468,27632903,57234649,856215379,-1,272920752,518079198,372817144,-1,356597181,-1,248457048,674743938,844859247,784270709,153337399,200019402,208068253,586329147,-1,359435506,205857879,263962108,825633696,-1,256149900,287658865,-1,249767691,170484002,382656694,649352932,463153817,421268136,911888153,33149582,-1,-1,548301835,571003132,71559406,210199914,-1,502791875,-1,858317447,386550158,124512102,835258634,-1,739436818,667758187,-1,506395720,291331093,-1,286569545,479217907,878487706,888737496,-1,19397431,881993886,239008580,73108231,249868603,116678062,-1,-1,264430479,716754174,85074312,763597371,-1,350011140,-1,847274174,963441691,134209802,545898460,353933337,-1,417084740,-1,-1,805863709,279486834,995936378,-1,632776382,-1,-1,636627654,623931975,-1,435482931,727330904,448836666,441720077,145395959,871566011,500194788,650624368,55056607,690125471,470467945,-1,998521551,221231876,418930738,382813246,-1,323840253,-1,688746627,204211557,-1,263336498,178976702,755605134,510808892,-1,727105520,867165783,684525097,809931809,265590711,517637727,432478803,-1,717020513,401121786,-1,259091820,-1,579514074,662956660,-1,-1,388399390,779733379,353571089,81755138,217955488,906604955,-1,679648358,-1,250906826,12551832,280593555,230271029,-1,342735616,340592500,884957251,202479759,627433486,462157190,176159316,361001901,-1,337456042,902291263,941610783,-1,-1,-1,704529115,241744431,857966711,261043933,-1,206220646,246060387,979257642,570782167,595795401,366810644,340327460,144992464,530889850,-1,20424616,-1,775863455,490431252,540867740,730973157,677031664,-1,-1,439035922,608384731,892956630,133545049,-1,639703873,-1,386405226,684059410,-1,841991951,554601623,781954222,46889377,-1,240296276,429065414,-1,-1,378175459,735260571,194984113,2146894,-1,718735040,822977919,859131776,826639047,941723184,-1,-1,-1,-1,34475419,-1,-1,-1,231101754,221658704,423540860,916071173,-1,507118879,978862853,296348512,5552742,-1,926328674,571804440,-1,-1,-1,-1,-1,498732529,-1,111520325,351879607,312270878,938063125,409970055,520545092,727840026,908511399,270993333,-1,923769625,396860615,-1,974513801,-1,74737388,-1,336585823,4944815,-1,878971288,210551578,757223060,78431043,621482404,740711227,184978936,-1,373797863,-1,-1,-1,110716603,44423328,-1,-1,-1,-1,-1,231086938,301185242,76246437,-1,516885674,6143360,510699551,989030711,-1,130855602,-1,319769301,742526640,504028464,-1,609447488,290254145,474079988,769386330,543998370,-1,-1,279283099,526136905,-1,501591545,788628171,-1,-1,658755686,603206354,67885964,69087376,-1,957486210,731452191,330530331,82160963,178969606,999877061,-1,-1,-1,655451617,368735677,753512107,371126723,242311690,-1,813982137,-1,-1,228576867,38992364,-1,950014489,434416347,119669392,614731772,441672359,-1,31840131,-1,92489662,-1,1849695,-1,159984720,38395317,382303725,-1,88418996,726712381,-1,488106700,484003856,10311040,834237355,-1,-1,277802386,99322939,746387384,80744996,507952979,-1,-1,361314606,80503307,887277261,489237999,771030111,-1,723114861,869056748,991293505,115518878,-1,971876534,-1,-1,-1,523210210,-1,138436945,705886032,419711176,209874178,-1,619662468,-1,-1,389662252,-1,899937668,528665397,61727489,889774212,835847002,94366597,-1,853238109,-1,52675063,888534843,212677361,979923001,-1,326535249,-1,336341347,849156923,100407815,416218530,844032012,-1,203862480,267649786,858299815,-1,227747826,502915368,293088287,635309526,702935609,-1,26994251,402240977,696390150,39076243,816888096,-1,-1,-1,234937373,124272216,394680510,-1,66112469,931256392,-1,286067124,664542819,454019682,597864897,932252442,863155529,144270752,161859795,431314647,909863078,750740982,-1,-1,-1,292472340,217016126,61384903,468762231,846790666,-1,246412320,71196452,88195763,130854205,948352034,-1,805114558,-1,353842241,584567765,543674950,301470357,623632899,411423333,850440881,210274423,-1,254362593,532106090,-1,196179192,406787642,181839900,737210494,281882555,527451255,-1,-1,-1,-1,751117371,384809182,648084646,938130328,687295195,716239065,59948736,-1,-1,673419592,843895040,401341035,2986730,309914428,662302095,-1,55289899,653643041,194853252,793514697,976219621,863964685,634328077,151124429,412082851,641479414,997592943,717438081,952053940,-1,-1,239215869,-1,163427197,592407780,28025149,236195710,227822811,-1,480368300,-1,-1,22374740,800223353,-1,-1,669219343,946515147,-1,-1,956551891,-1,612736934,-1,887957751,461597463,-1,122058814,406778548,645572970,473937483,288744806,144999099,-1,267435605,-1,-1,570675525,865370941,-1,595152499,41029823,333623012,622732788,-1,-1,859780524,133885337,559500961,716139606,310793477,728501283,907694891,140657956,579916631,716225273,-1,185305124,918354528,-1,-1,-1,526409380,-1,818417678,-1,383979595,902740556,708590529,339901618,223480987,382558516,-1,529341265,718278144,41811185,-1,6183142,63654396,420376880,956455356,495892516,-1,958444690,-1,-1,66139860,254159442,-1,374610303,777452342,234819242,-1,55963918,-1,281278518,161173869,138715310,-1,775088161,-1,635768556,850847860,90142381,-1,-1,173767155,874736589,100179266,604429031,-1,-1,632518111,532737987,601891413,-1,342187942,25768234,180349549,578692023,801568322,-1,730457014,348395364,775939070,850243978,-1,-1,526157079,526928077,776649953,635440430,760672962,-1,542351021,70615693,356215615,66888804,759173124,-1,539073059,364621720,121252797,70411247,208235092,511729843,-1,-1,516882592,326644454,-1,-1,63953251,859599633,-1,973220759,-1,858658817,813755469,-1,-1,-1,780105475,365323819,740885997,965298398,945074452,858907480,-1,779186610,-1,865574154,960924459,222608943,164903270,23363326,340871065,695149976,906664750,358110413,-1,73519291,850400776,-1,2423788,753351296,278348891,496500265,-1,280181446,-1,-1,-1,875251717,243564578,-1,-1,532996890,-1,473881218,810461496,-1,-1,143735678,479890996,265458041,36893457,-1,-1,114398674,72949388,347149185,151142582,-1,503753647,-1,573480615,127406764,416793283,817586655,352106619,698960718,200533362,264476248,934734891,834016929,968475756,-1,-1,124940333,313987720,-1,862607813,-1,104669555,273547136,-1,863982108,524398456,92542225,516350390,-1,314055475,763984503,-1,502497596,192829619,-1,150762385,-1,-1,125810751,-1,261716868,977704616,874753260,763435966,8014525,-1,68386118,651354051,51185904,-1,420113132,37684875,7564044,-1,28683971,315178189,288648340,700166268,344206642,279584679,972805149,357802496,251695339,928393609,434714647,802222067,281953828,-1,-1,-1,75817195,898519429,930864070,-1,213963127,271525586,980938969,944282929,-1,-1,758033370,292802306,937692615,105989084,724849075,3906897,832968926,651015246,157491595,-1,452823684,692325177,78039419,-1,674926193,781072373,444451178,581511719,563256610,-1,703150739,-1,58789002,825267504,786868605,664826918,-1,-1,705208754,620640733,309989253,-1,366115813,465143304,913078133,-1,167086944,756326614,-1,324473997,372129366,-1,409607488,350395874,606017565,-1,-1,416949584,190842304,706908937,-1,-1,-1,-1,-1,736625041,936326908,-1,310872601,166982155,273241182,129777766,-1,50965182,29058376,465662597,728503503,94497880,-1,-1,586704737,-1,966007569,627877364,122397848,144288070,205773974,608650130,413148253,-1,626414347,580396013,139897373,-1,745691703,-1,-1,-1,332996341,561552136,-1,527172837,264357556,887934141,-1,568020318,897306876,414245701,476646015,823645384,43133107,13666992,656485240,8331086,630101695,-1,666457377,226455977,101529662,698681804,830468408,-1,137238084,-1,-1,458330870,-1,-1,-1,-1,899135885,237113967,-1,990824031,335169182,-1,-1,-1,-1,333075482,624375084,96354584,940927438,753429368,211310971,-1,271353173,438538799,228167582,187263710,-1,791575287,598939494,-1,677048265,-1,-1,327898919,-1,351894578,342477602,690170647,247777566,-1,478230522,747917357,653325774,83509174,-1,262768135,-1,-1,195235856,425966271,514000923,903064665,320119194,16750568,971656781,191669137,883095783,151598173,619039788,127115439,723101034,835075491,-1,358290701,-1,52602282,885770747,-1,209281327,671664208,246377727,806082339,605308468,732847326,-1,-1,454088579,88965233,196216453,833187945,359466155,524581751,308836639,33963217,-1,-1,-1,740469310,27701226,-1,417317413,716321475,878362721,533778149,746793760,-1,488224497,499366645,588366592,595107074,-1,712625802,527453014,-1,-1,571202785,463750179,734722552,728314232,969980448,275457963,895518567,658050698,693033910,-1,374474931,-1,46725063,613076197,850623573,743142810,936341455,440290546,85931518,184407560,741020584,-1,716322760,959727988,623119764,-1,527473590,955709968,695861984,242480324,764514617,-1,811412753,-1,49806084,-1,572374686,482994963,617920415,-1,-1,610933215,744251732,790202040,884608874,352277853,20630581,17217513,889041012,76900311,643665774,15668700,340021134,369286506,-1,-1,-1,668736415,120459879,897765864,330983384,290507663,-1,192825445,518070452,779796419,728938404,690897319,897941303,-1,858422114,610738933,548341673,916464776,125348153,-1,-1,907239209,403859711,12835012,653741274,-1,351071233,663734176,274072066,-1,370392366,20461287,-1,17922258,307886580,410470557,648103805,4796112,359065949,-1,-1,757240005,961159001,-1,-1,591917372,163824651,-1,925068158,115515647,-1,957807671,998745540,-1,259314938,811081613,393374808,302790049,614635575,-1,128689943,283455769,802500961,745775354,-1,-1,326317107,394271359,-1,479736877,383432954,773451271,801519545,16362918,-1,905634330,501895784,-1,368389778,617847046,195860519,422104643,343033902,-1,443690364,172108823,856216696,85671746,792911189,452691160,388532513,580363683,488287625,796014079,790117548,-1,868808154,-1,549564588,-1,-1,108163677,-1,129807029,-1,537742721,351304162,584024026,-1,927007570,755708758,946006123,-1,559880802,-1,292314147,143417979,6835219,668580131,331220409,557703550,753978350,753049991,8008656,106200001,674569224,419294051,-1,198076649,-1,735298647,-1,546185211,482935408,858464188,390618867,614600846,367504664,323635918,451422598,666380792,775433415,-1,494745973,178960944,-1,896213834,432610938,194866271,617470037,390301485,581088030,897176070,743248404,100733661,704410320,-1,39628782,574130739,-1,-1,725948663,-1,685112169,137879462,487107003,814008,276561210,905937510,834733220,582847209,970277444,-1,453144720,860869219,889675510,924488003,-1,75238270,877936945,986495775,911830887,-1,389805423,235588717,118137941,837006245,593838313,51913602,-1,164140398,-1,813411435,-1,621461887,341006074,-1,365531416,413878107,207287131,-1,494930861,737139323,847570735,99327423,382092750,-1,902102511,-1,889344290,5056772,149908992,-1,-1,557536692,455079439,-1,524553987,-1,762583173,977325920,-1,-1,423968953,403522239,536281073,-1,679058285,176726530,25699106,956502059,678720964,611895108,421551376,-1,982773066,650479066,21203487,-1,771587049,-1,827462477,225885454,-1,743324134,19922189,-1,-1,494986793,920917945,151656460,228051698,221522240,910248829,94828645,199737443,-1,-1,919312078,132792180,707286952,405457681,952247968,509320630,-1,571620181,276308342,724989461,-1,-1,506971183,355550432,-1,53941849,-1,-1,708120725,971680542,119186109,-1,5335395,302772339,-1,-1,659892798,-1,158127246,804178415,735350288,433868158,743980784,455620705,591939466,668709549,-1,-1,-1,-1,654118633,302297326,53446069,266134849,-1,-1,257224009,212037142,-1,721549968,459185919,94002221,97675790,-1,-1,-1,383004841,298910804,62391920,-1,631452924,674472319,179330876,731132960,518913665,798318329,983071488,337686499,429379193,458613278,424746831,441854301,404082861,353763212,748693606,-1,792625906,-1,808861108,-1,106684518,-1,199366585,830572564,-1,-1,835689378,753970385,-1,108009722,-1,-1,71111489,-1,572284344,-1,416449586,61916148,251364882,-1,110077212,516913210,334477794,-1,338199105,994270455,-1,-1,689706174,398015822,-1,-1,280489839,374455817,707035675,-1,589764763,-1,759588504,386602417,978806855,120088770,468666847,291068706,529815462,-1,-1,695455749,229608185,400288059,749535165,-1,98515272,752652375,389598532,597579242,-1,625476362,262405011,562321587,565640381,-1,772982200,-1,-1,186240108,-1,215014979,-1,108036954,767692126,-1,-1,290607954,227670968,335949545,447419108,563334023,-1,-1,860814092,312352376,398741166,553666965,685634480,-1,402000250,76263466,236482165,335129637,512890360,-1,919248348,975787044,847081039,975963119,-1,-1,836250773,452740856,-1,211950096,-1,519264535,992349936,849182180,5209271,-1,388812849,-1,-1,282585826,657543852,-1,-1,533802899,690090560,384261743,-1,836825756,-1,49272206,526091035,353219692,504559084,-1,-1,346119215,-1,631274090,593965537,193046942,-1,-1,565401984,-1,510766221,815776156,972742560,-1,149465423,785746910,724375103,619083227,-1,352248391,699925732,359754549,-1,287762864,-1,-1,145299463,733509954,966792564,779569715,872159395,536543984,419260871,886343651,-1,-1,-1,-1,502746032,-1,-1,812729381,499712784,559789959,776766640,853406796,-1,-1,176713991,963879416,989373185,-1,70569500,11521155,960723813,228247294,-1,603449478,-1,60628561,367922138,-1,536874352,921324455,-1,-1,515999849,556577767,618535624,95814201,977820634,-1,125600479,-1,594101671,-1,-1,848972609,-1,491326856,837993063,-1,-1,292484826,-1,943444164,547893912,649830136,-1,-1,112735338,490092861,232464782,-1,120220045,-1,471546628,451750229,-1,-1,-1,728017058,-1,-1,954213765,36216334,852256030,704654381,585316651,202812905,33731533,935062614,731169687,-1,601103497,113048423,-1,-1,-1,-1,58367506,-1,-1,-1,178636781,-1,484072647,150218572,822765116,-1,-1,17621399,-1,82529669,302706252,-1,638937660,415033742,400291467,585429395,-1,80590645,990734313,-1,747217736,614068808,975882005,307836852,78446362,896483061,592758490,54457716,398750873,755662635,780474593,-1,54755827,-1,626440273,-1,496231134,802071275,345240911,716393282,199168773,521042942,-1,106778749,421114868,-1,20459440,-1,623267456,379486917,266183976,900645448,-1,-1,-1,-1,333285963,-1,733108907,138819387,-1,704488820,235051386,88983393,295788821,579713656,-1,-1,178918573,721163559,-1,992232614,333102234,-1,13956323,-1,796220257,736840924,-1,285863508,453761233,367487409,392998449,558700358,600524725,64844196,-1,291693367,175100167,-1,2247918,106237640,377330595,766630018,-1,425614669,848401235,593696259,709974185,487205617,-1,702600462,811212589,-1,-1,-1,-1,-1,789115158,185990092,697457796,-1,775443353,-1,727603316,-1,338047001,185123726,231134841,-1,311791061,532014902,184310490,75971686,66076524,804894053,844739752,606800589,399751657,695444596,737981816,622861715,-1,933062859,497802932,-1,-1,-1,741513522,302423620,917312379,134340806,334382680,718086348,128464536,611615953,-1,445497312,629743548,733129717,828179110,890926438,593791495,864802968,847413129,717801190,7361924,382127315,781794652,-1,-1,275609052,-1,668230029,943926556,853676195,324459151,226116076,-1,-1,371965412,-1,-1,692924348,-1,505497377,864145633,-1,915023675,-1,511455378,-1,-1,577083606,733892977,585380189,-1,43938451,348629209,-1,-1,756268385,116502991,601365824,844522122,647867636,829012171,-1,-1,651960203,551288884,140883622,237940670,-1,624815781,602836737,172252,368805655,413595023,636307707,195745154,431457810,769237298,490131090,740564415,424065239,643312899,81189001,732662965,-1,790003667,-1,-1,528570608,810068593,84643800,979078337,-1,-1,688120797,922647479,-1,236596286,-1,268396540,-1,301235393,-1,-1,743939374,256636860,-1,-1,348413550,393939999,92878827,164673636,566696917,703416152,-1,47384294,534926476,508348501,435626975,893055608,968120712,241695437,-1,-1,67191267,488151671,-1,497278599,759033055,526858322,-1,712066814,934111932,954635628,489607321,334442436,-1,980682593,-1,-1,598758508,943405399,62774405,175823084,518008030,198685991,361792315,269713402,149040303,-1,982004431,989413861,707243157,12535854,-1,-1,-1,814921805,520814890,572976685,-1,595384847,459914364,543495160,257385222,85518634,338288959,917389509,323373279,514200512,777766826,-1,694483453,139880401,324691895,552234279,-1,679791838,761639788,302236864,885243097,-1,-1,149064289,186934028,222294783,364550504,-1,-1,-1,32954332,151160339,139643597,-1,-1,793847703,-1,277081328,964243430,790983515,932610815,164996477,260316976,-1,-1,957123747,-1,-1,163856726,105267049,528919513,193363450,-1,189493050,-1,-1,562006699,-1,393672865,524893073,31574069,774709718,142831791,-1,320103340,-1,492464096,949618907,20881050,82639679,959173975,340722616,717014784,768196961,-1,-1,880999251,900759545,-1,368971994,214209945,-1,528919182,562021687,273967535,-1,524600609,-1,-1,544780291,-1,176881347,112118027,736803394,921359202,338773461,-1,944620658,-1,627167008,65321080,838313981,745635386,-1,-1,570888905,-1,933493652,-1,814560759,761686319,-1,832697812,992532277,136951623,813573920,143796873,725308575,430839854,198092526,399205789,-1,847024988,-1,-1,-1,152883553,662732455,432121991,121114178,-1,-1,582625386,-1,-1,936296205,205176515,-1,81794466,22528397,290649581,968946538,-1,-1,960061782,-1,676825648,434817084,787702000,-1,-1,-1,843439539,999072035,-1,-1,472077065,402220645,437787008,659417137,78088266,548272394,910553479,341143420,784799996,-1,747476758,728605400,558827087,990935255,459594317,-1,758727470,248543071,-1,738538033,172131164,-1,20369379,828691691,-1,-1,197384442,458325198,-1,240297176,-1,-1,339795743,581762208,654320423,128096806,838286596,287600832,435411954,717982974,831050021,891792975,451765566,639018267,-1,-1,-1,444013027,853470559,-1,477913657,598855207,-1,757836466,142461937,-1,143140715,-1,-1,118640428,771906391,884623420,456989089,255075486,784123468,571209829,-1,-1,761211676,676981748,459958592,-1,862726378,841668942,259188759,-1,-1,196146719,-1,578568852,179914148,-1,441808474,518768964,129974600,384613204,934796757,2251540,789916587,573343717,368514220,17543403,389753815,147636763,-1,678798730,455047106,-1,-1,-1,198098505,142667577,60204458,896883045,695243148,301443019,657194096,669186126,395915511,643160672,10842418,945763227,443818147,234446302,333442287,531518152,435317978,784794560,552617323,458700566,900562206,-1,37922239,-1,-1,-1,8276909,-1,99126341,130328403,773063749,564267847,-1,729410584,685042844,75731147,278483734,-1,-1,507458609,-1,-1,783501028,305048629,714419100,100554799,-1,181737579,400475667,11697223,895204969,530311707,425035597,139747919,208606983,243931824,677932176,-1,-1,942970613,461531489,-1,-1,970221706,752831363,-1,-1,8275007,97741564,908982110,921836566,465544774,941604768,85198186,-1,-1,97993128,-1,-1,144418351,528867898,740028531,-1,337887310,800750027,346380457,-1,571676878,91185902,516775500,-1,203602900,424200857,-1,762171009,-1,-1,-1,-1,-1,-1,691891472,463702900,838051103,287744690,790867530,479090072,-1,699554331,624531013,345208945,54901917,-1,-1,-1,-1,375296399,405771829,-1,745864927,370625899,997494908,879013548,339903102,-1,470762405,-1,579301924,769492743,352552192,960988065,677101795,742456977,-1,580716241,584223154,434249904,646719427,375073612,885081549,-1,-1,331229324,-1,-1,488437380,741034859,304370544,606940939,-1,677061640,606646180,934404348,579208749,281640698,-1,451570974,140340830,685018226,-1,673063278,659450264,904376535,297727071,995904262,940509161,138252355,-1,570507896,491515969,822725495,468545830,819201061,229965986,657283835,-1,-1,934453562,503488929,918387303,932909232,-1,557048577,133580041,61574953,705693486,-1,828261856,283112045,813174773,-1,233384619,145698012,-1,791315348,119982802,745477714,-1,752722092,99001534,475730135,-1,-1,773988257,879341359,135348375,786398782,-1,727480080,701931782,-1,174163641,-1,721272448,758991760,909892632,545329119,733302230,234521435,221019697,310858748,628284574,671380998,446899675,474855473,155626621,867599122,329131852,19995369,101199335,694808960,458130184,-1,-1,185959506,512228744,869737629,-1,510319527,521916320,-1,905000403,769044108,-1,751034925,-1,197277943,533186096,-1,968821390,177865529,-1,922749887,991515530,793055235,865133927,443999553,534312087,-1,-1,-1,601100645,99676584,-1,346606302,935336492,-1,672261522,279578979,869332792,736868177,36560844,-1,631404322,709777751,51569134,-1,-1,17111897,693900844,-1,-1,204544010,50262745,313681478,582574188,-1,31334847,926190197,625533249,-1,747336326,700886974,298822541,360349541,53436481,-1,-1,-1,998187064,777807179,-1,100940630,803269571,470734238,212355888,184744359,374645561,310297145,52068273,288328595,723900481,180867512,563360225,-1,-1,368108048,574766887,-1,355280798,-1,336393521,544698904,800015403,142205696,-1,376579259,285436367,-1,-1,495101455,-1,213933035,502133643,937269950,-1,-1,-1,191607712,-1,630151226,-1,-1,173467598,185690312,61139706,879191721,997303486,250753554,-1,38661871,519738253,850738510,697019212,802384297,424608185,-1,584466544,927881310,655821441,830565736,230373858,880526741,373971310,482102401,244143334,128416891,179430995,-1,120692117,790403733,-1,625858050,467697955,-1,-1,676102094,-1,263424469,202064938,369966246,-1,751694341,239336915,136745311,283992997,-1,60003024,-1,275419457,732339887,-1,830510131,629904105,-1,766602440,-1,-1,19697837,24081413,-1,-1,950455749,379524479,-1,-1,-1,496646966,488251782,-1,-1,540085388,564288640,804151662,241929139,240304140,168769783,524663969,54363931,68770912,475923516,-1,-1,348128297,750158595,121660187,-1,-1,927183832,192497118,-1,771533115,-1,858367567,287789560,814809888,548594803,993104688,-1,-1,39181814,992077075,872936697,529080875,216565472,197074488,170753175,576260096,952650110,-1,271054825,261806636,448163411,978777050,-1,118302396,480359329,95102885,851683743,175649821,-1,-1,450864238,630110485,755100174,558111365,-1,466563033,94917357,367697140,121857232,980567544,470033264,931491210,524239473,-1,468558974,-1,813705046,360793392,-1,365750996,76482962,264434526,57814930,-1,-1,533767328,28840632,395568421,-1,169200444,770192157,607050725,531327134,500008631,-1,420523831,207417042,-1,151173742,69923509,-1,655917417,433026706,118170250,726297172,-1,851124009,-1,-1,167248642,595412873,-1,544806221,-1,525857667,5715875,230959016,-1,291426941,930192768,362551029,891879792,-1,762671730,562779247,-1,272329234,-1,-1,443476188,-1,308265087,-1,207724822,599057372,413124002,590504467,616124244,-1,119877217,334029571,-1,-1,722661794,-1,95919960,515060840,-1,-1,804423127,922861852,502086439,533410601,849276904,736304582,44891090,983316474,-1,98558602,835086482,-1,-1,651188011,334788848,-1,-1,-1,899577576,-1,-1,271050083,179799415,368116706,739136362,-1,-1,313200168,724764816,-1,93261500,-1,25175256,-1,577289996,580863039,54998394,361758763,449660139,-1,640679472,-1,103744971,708412032,293864150,-1,-1,908869036,-1,874350534,-1,439398463,723701915,559053329,309183180,274650560,897089794,826931291,43757509,172232898,847294101,112204389,39931206,-1,24778810,716669703,-1,364429735,509531284,-1,60520952,968610932,275229194,-1,466173141,512092285,989628694,6521236,662896914,721525723,451059665,987065630,-1,-1,655819029,-1,600753155,635410130,851148793,609066766,897509911,306468451,-1,-1,-1,-1,646281028,-1,-1,912475505,-1,952280688,887178235,431158991,143544590,-1,518148163,361053919,690692888,-1,-1,715283549,855390224,-1,-1,-1,-1,601062178,296526400,365038387,591310007,434266224,856365664,205153743,25813039,-1,409958655,-1,-1,-1,534675126,796682923,255430120,-1,631616972,945910,-1,502428794,895297623,41353220,517189474,802549076,874803784,919730353,-1,-1,-1,786580036,582212336,-1,-1,757549037,-1,995919616,87270063,-1,972569463,893106091,764184818,573526832,-1,237269764,369346660,73742792,-1,-1,-1,931590775,61351219,473958467,132366342,-1,406594591,233875169,-1,406228170,653632853,325703897,977900632,521227526,567661398,-1,446708270,284422999,857337677,298597042,791690936,140861430,992340081,504441833,491975611,-1,613183003,624775624,-1,821856408,830570148,226004748,163741212,50468191,361963179,267477224,-1,-1,916510708,683623218,-1,138796876,824133137,880114834,262096133,-1,579716950,90629567,-1,-1,581908817,651055803,495206866,-1,662702554,338395370,619828248,284037842,820424753,748590723,-1,746999132,516740628,-1,356173198,854536498,-1,464344985,-1,731357285,414257637,424380619,892992089,-1,710673890,577119408,522052407,418769274,157428828,-1,214974367,997843001,778002619,469115137,721110794,-1,-1,104686605,99198431,874410683,377370071,541900839,215809459,918224104,30244635,-1,103548068,-1,914437901,185889837,880208083,546523904,801852223,272868971,845357898,444631761,806019884,966515261,595078722,891894535,975763086,810003810,-1,-1,-1,845256998,155764960,534429500,703668726,-1,580240050,-1,519939573,-1,-1,621977306,939746291,147600076,743234282,615171084,764291035,534060097,533792742,850057638,-1,213466001,37403311,-1,287312632,518663723,-1,-1,-1,141711101,529651946,-1,120522700,779380422,635541575,194094554,-1,-1,983166040,353954990,170947723,222257701,-1,756094953,954601816,-1,38523069,-1,97997947,-1,976445138,141355924,-1,-1,377104771,839016939,821123414,-1,516713382,94089491,571473859,771410296,497853169,955972393,218434102,669402189,420968664,356753179,565510066,-1,-1,666294807,-1,495787980,914678346,-1,-1,649410725,274757204,729606936,559066277,395272510,833875,-1,393816935,20293043,-1,700976916,-1,981914838,5404006,732255406,476979081,-1,938113641,-1,-1,706240745,852369802,758623154,134008384,-1,653956853,433815418,548166772,422179982,689664289,730604419,826643943,82138098,171303350,914747500,-1,-1,811489148,-1,-1,-1,459887787,629005668,278123155,168406724,197429193,-1,156750847,509165390,183729013,-1,563793062,377557962,-1,643262718,-1,-1,518475680,944396960,-1,621916054,-1,196641484,938953866,-1,412836508,405949953,766302959,229939249,102162224,-1,-1,121455593,-1,361313432,-1,406472146,965259332,66508855,179081470,-1,-1,791015315,530438118,784852160,992648331,666321309,659378323,933357070,-1,209692874,178386830,-1,-1,-1,50355487,385167862,395984444,80594312,135634782,379720606,109195066,165930702,867467091,-1,-1,736988232,855093272,574127981,168997670,4763882,-1,312491610,134198319,766572475,59782025,746169023,-1,841756239,-1,678017680,730073762,-1,162599502,-1,-1,296707720,748789407,-1,181044839,-1,336189983,187586258,733724908,150384136,-1,-1,413999790,432489807,-1,749938710,776469513,-1,165152974,-1,145984676,-1,-1,609949811,553342314,899476511,2183802,432729572,-1,-1,296864599,458692718,-1,151643929,-1,920667465,-1,213494314,716126741,423548740,23524354,-1,64521824,-1,770823307,-1,-1,107040191,-1,183295438,978341341,802948341,478585351,996297453,-1,129905928,990031121,-1,30073381,-1,-1,643688578,557385048,399810206,693330151,573115185,-1,786258087,-1,-1,939944202,-1,203751472,232390745,573382635,349519640,906034205,989589700,696116466,-1,417878740,-1,367232640,223632668,796926302,-1,425393705,76763038,592273469,-1,989549092,531062227,191393165,-1,-1,662543427,354410493,272943524,389949673,-1,742433793,862244503,134175550,629272515,194525350,335053325,-1,859362271,668436645,-1,244761743,934941919,631027276,349190875,-1,9200841,995804300,595757889,-1,533022852,641765079,652998550,-1,-1,277441306,158711220,793566856,205315724,351880004,741904567,169811104,-1,778672775,382233300,973098265,294380046,811291170,50447579,-1,215228805,709412220,863224294,329966307,-1,-1,-1,-1,954758187,842948775,278954004,-1,380228924,281266369,-1,169433853,-1,-1,61052969,600747674,853450939,614205129,293472093,800700666,-1,947071619,32681243,769609424,461321890,115815425,934943950,455014314,413747405,-1,337746850,209594876,362680780,568869344,9041405,225223186,-1,135693421,-1,-1,816647895,-1,710465057,850780372,-1,920910605,260483204,449984324,-1,206301305,359484871,686752250,784748775,247714894,-1,981584752,243976819,-1,6929509,-1,93316622,-1,962132833,400980809,756519504,993998963,-1,-1,-1,-1,533065396,-1,-1,-1,876864150,-1,727617184,-1,-1,294276651,84735549,-1,755976990,-1,-1,-1,53920753,240747181,422787237,-1,174235532,-1,743748957,3409250,-1,512100295,727815743,-1,-1,148949646,995399338,38543322,888541885,397974071,-1,302292869,880541720,-1,642377357,755531021,524990417,410429959,-1,850933900,579679715,-1,-1,-1,911223099,924702199,504148297,170908357,96889564,715610803,-1,800282919,-1,720810860,129400094,657901170,-1,850511285,-1,-1,941790915,583673157,734304233,-1,-1,-1,611815255,308146627,231851653,879099076,103390533,551932562,266157414,563666767,24138325,498056969,-1,-1,480856560,627273258,451757412,538152586,452513536,630542999,152177502,-1,-1,-1,537597423,78210641,39895787,290244058,442728102,821345655,146566674,790096321,876851095,-1,-1,-1,656731445,432421179,208471622,-1,530485597,951073056,-1,-1,729105958,-1,448101059,237459080,739543977,978523728,662204661,249664574,465486811,-1,496520874,672036375,98902366,933581648,539314471,-1,212354174,887037585,834203141,91520592,14090519,-1,750597952,811339737,881985929,880648062,297262766,673144182,588318177,730058686,418660671,370180871,174684786,167929497,306768170,698286521,731865280,-1,80631705,118471035,748064516,37280390,-1,69362147,-1,610638169,-1,-1,-1,838520970,-1,647314126,516560380,925340607,318204978,397966277,-1,118090545,-1,104235850,-1,210404339,-1,641028725,-1,207006410,-1,-1,732618703,472892247,452095830,870093939,209566777,625029361,-1,-1,511869022,-1,116504218,904533365,119368509,995226011,90542747,-1,-1,314251559,-1,-1,285623050,383411916,-1,-1,601469203,698930742,-1,739530145,49358304,-1,688097087,-1,-1,430803773,338967621,361377599,-1,-1,409986688,204382228,629381146,967290467,-1,364641798,-1,432368927,-1,-1,622808498,-1,-1,373384253,526886655,144073063,758774652,765234186,-1,-1,587195495,902874170,-1,193191288,24867152,600394192,704631798,148116993,-1,194235516,-1,607519339,-1,187392263,734353724,851113293,803352098,-1,-1,452531496,746104921,669668613,-1,718066729,559650860,284262396,661017438,266366020,673257202,862168728,56898728,83292481,-1,-1,867281416,595836421,443111178,443233377,363801779,983663110,-1,-1,381673824,-1,74230753,58828405,348852261,-1,561437869,476466110,513649928,-1,973101584,738980222,656950021,-1,283282257,626628924,542044961,837814616,363149308,-1,585392718,370944247,240873039,628014168,-1,797411205,40796821,-1,111955207,-1,-1,867940556,74654584,944463698,-1,-1,161736161,765768097,-1,308975068,-1,385565488,-1,169589478,-1,-1,490080946,717457099,234546855,-1,146377679,-1,519365265,315812440,676506638,952186168,764626728,430779134,429905159,-1,621242076,18786908,319099577,388547220,-1,288457049,487316469,193870209,-1,-1,609093635,793758078,-1,876302823,438630320,-1,49260264,916083159,-1,596699209,-1,600288251,-1,919799887,-1,-1,649218189,856299613,749350882,-1,744912386,-1,124776834,721779715,-1,755556987,-1,585167014,100612340,200385147,-1,-1,-1,-1,767292120,-1,237636226,-1,285887488,707523580,431320088,429440919,636796316,626311299,-1,586217532,380577423,714526664,178111391,-1,559285514,884157243,-1,829740988,864708583,122975413,-1,574671459,902176902,-1,-1,696311657,152065984,61519724,-1,233622719,-1,594900684,561725863,-1,318946416,734813299,882847415,-1,481366973,-1,987800414,-1,536639322,145805708,494752955,327066039,-1,82445536,82079921,636629246,-1,421098901,718095676,869807906,969468063,763484116,126386150,561888032,870314212,226023266,393813794,813043019,-1,473521084,-1,75592620,828898830,94030615,-1,476837625,641343941,-1,288871716,-1,-1,303983581,293368260,335744517,81805245,-1,821546779,301880159,-1,194016410,746314187,-1,708943603,-1,-1,-1,326993727,702311249,-1,-1,489274855,869658756,923952576,-1,901053897,-1,333642515,464455388,543885922,323859872,979465799,858902715,955234409,204808385,940523027,161324673,441610755,680754469,913171668,489041127,569755893,666256200,-1,919832952,-1,853812828,759502127,787534666,392593944,542343726,670159733,886951343,249130235,-1,258926105,-1,40089551,581608368,208047232,-1,-1,150483911,32280461,-1,-1,-1,843431390,-1,960759903,359041478,518980953,-1,56145581,667483548,195342757,925907855,518282040,5175245,78104499,482905793,-1,338340060,-1,627008168,890165133,577844490,75616889,-1,337526104,205374175,623490276,-1,382287714,873299250,552561144,326125719,-1,776932166,795167471,695661946,-1,181382689,662544559,-1,264459354,58640555,967865221,581604153,-1,438351730,953695836,991537347,65441781,-1,361467622,683647010,-1,102688025,904695038,992068727,-1,394743615,658533226,755020363,525113774,671789125,474674233,72786035,368742303,190908663,728055204,-1,827027698,282413646,152539408,531966889,95132878,172577508,-1,-1,749652780,-1,-1,101066659,-1,922139530,881551026,419967553,274430104,-1,965007650,548017309,578105314,-1,-1,78766266,659886705,906809202,343874323,791863370,231667363,162812840,749255116,386131596,681804214,-1,-1,112981796,32246175,866878265,-1,-1,705943038,486593286,162636161,16298654,572457022,529125201,-1,268431420,836308046,490828873,585916484,104168493,83475606,342677068,669160287,929430329,-1,266372049,-1,151830971,498792661,402981582,773802609,381351564,654661242,269449643,166063799,-1,905014801,677907529,-1,539117414,869433400,821987158,242488307,908391859,-1,657608847,-1,-1,1249742,620760647,535342217,-1,153884066,-1,220822037,677253817,-1,387104599,-1,-1,778900173,-1,716350371,41549756,244520913,568952129,272473984,366239305,237439337,-1,162875068,-1,816753925,-1,335288079,747161425,171816162,394303196,-1,692267875,666777005,585989460,499122301,-1,-1,193949883,589407580,19095088,885552950,828073367,7072168,222264422,-1,941009577,-1,780663651,936127098,861614102,70995730,499591627,95812537,961286189,477137401,-1,-1,737168653,-1,814341238,170295260,-1,510583631,950359835,704062277,-1,428627525,46193454,-1,421587741,346847852,-1,82853369,-1,747857955,155930417,491478170,576793755,969276740,-1,751310442,782785897,846548691,-1,-1,345607909,89287421,-1,46152567,757567413,70410857,419720333,-1,873486555,213072450,727691928,-1,166993618,813464747,-1,674938417,105077430,167528805,-1,-1,162704931,591744175,-1,-1,-1,-1,966130630,-1,-1,-1,-1,247782321,439406891,273946504,61111776,-1,-1,116260657,229210894,-1,-1,-1,292283777,586199079,922333065,521491130,554813871,53966446,202254426,643176319,236490325,-1,854747032,-1,53994662,-1,239978326,102233221,-1,347697106,975392657,533445311,586625128,-1,-1,-1,459490988,806861520,-1,-1,42564600,-1,72959863,569167886,-1,892815449,925273651,678056095,-1,245973881,545905098,-1,-1,971398826,820690497,643566944,527795840,917605581,-1,327581095,427075501,568297194,-1,667352952,144568107,463742977,297173418,154621936,547219986,916966089,149361596,250750621,701310091,133126765,101997136,294982764,-1,931795556,-1,650356276,22948197,-1,677560511,-1,-1,67667462,384863539,792843727,-1,214011591,530796358,-1,901294431,721556216,926098481,736843096,798759740,311157941,-1,231760831,589113295,10127972,38996081,660273899,425528871,33311257,794710296,-1,653390282,509310711,-1,619809710,87987039,794392163,-1,561306999,843204949,-1,733823061,454243538,-1,32579961,733437548,919493683,-1,-1,277450417,-1,617707253,557434934,372584710,506619779,144292243,225839204,-1,-1,846353978,482841184,-1,-1,-1,-1,650616696,787836745,611118549,384620438,879124482,860833313,-1,-1,274180456,348507336,490050336,487570041,361848977,-1,593869574,322984895,166827361,273167803,-1,-1,169019782,29141221,-1,-1,762058833,174006595,-1,110101908,503065087,621481296,133237081,-1,534894243,-1,-1,288604084,258842031,-1,438969739,758628973,932519077,909984497,870241848,279117772,-1,759581762,302736840,279219761,969112658,-1,-1,414695869,223867550,872092002,282883834,89817501,-1,585621956,-1,926559997,665762844,982228746,-1,-1,66654564,856517430,753653689,-1,368606575,476630210,-1,363371749,657187761,135726667,914990445,204052520,789942619,-1,-1,686465140,786023074,379409632,68130813,588883741,789177796,884432078,655347502,711166484,-1,304593121,987449808,668683610,-1,-1,683635797,-1,385747736,325181734,379995194,-1,-1,596181181,579968688,173469928,796209465,-1,501739319,633058326,650753397,476881314,-1,571010403,334415011,260116792,614964773,855565617,635451514,624026117,506562123,857442493,-1,873005157,-1,716847302,-1,931822113,28325008,-1,270504210,192151110,-1,389147852,670531390,134222096,19824763,851261481,-1,29525514,-1,375877190,879216578,125758042,-1,-1,-1,565403657,-1,-1,424082431,824683934,400138206,438087489,33743362,981645048,-1,953807539,971646063,277416921,417535070,-1,-1,-1,878650240,-1,217512199,780895591,25961804,1622885,-1,-1,430865164,212780724,462694628,627357483,576361386,851494627,376786525,-1,-1,917096895,698208501,-1,-1,985219210,76836857,209530313,447890436,384972521,572429873,500520994,569323654,-1,254864056,942937175,-1,-1,-1,179448532,133338637,96835155,-1,-1,922517929,130337613,52667664,405567140,-1,-1,-1,618873363,182152371,434879661,-1,-1,-1,491698336,-1,694571807,-1,-1,215451281,497484071,-1,237954028,437627392,721736168,740612922,-1,623534740,234825363,353506759,-1,318871871,414781473,-1,264896922,699956311,988161470,-1,845559733,604288074,631412870,-1,268538055,-1,922326654,695432285,749137267,685309386,793801352,785853050,718470605,-1,723212224,751131615,716109914,-1,298976380,664793700,595210405,724846379,-1,-1,254131492,171865,-1,448713838,-1,198626868,555839282,871300119,96537210,467785200,-1,-1,-1,315641114,507424338,77021148,545034754,651140577,257144964,-1,525226288,319290012,-1,460317523,765415845,766409874,-1,777984762,111954126,167991946,642486676,806725548,843378967,503165291,-1,202210967,-1,248046367,-1,382050383,-1,-1,-1,860618151,999385471,305563837,637751972,-1,-1,733947585,766126477,714661378,284585933,-1,399163444,430437422,706518422,-1,-1,-1,321773713,327431139,854798377,-1,443321172,629390956,817548587,365287832,260570278,671508658,872005069,40991987,-1,-1,141387269,319767766,215026851,932971876,978784044,839502670,64536107,296670745,390402354,606614804,824725791,221681653,726316678,908265368,797586770,591972968,-1,-1,286415411,-1,-1,-1,790043943,523418325,639343217,582511002,-1,945183369,188633158,382928798,236595809,174026011,214782147,734670776,292318620,-1,518742403,462494840,81609080,906847699,497122792,839184464,-1,-1,477966938,-1,-1,258326290,438629434,519743094,682501132,521331535,949528896,612298368,555824221,-1,434540361,128110060,-1,525110326,-1,-1,522843306,922104219,-1,956324636,-1,170242478,-1,225607274,753623165,-1,-1,874421858,888787577,-1,775714720,-1,-1,276273389,734773707,764137995,402519941,-1,-1,613282950,889266594,-1,26926766,-1,-1,-1,-1,300968957,537830079,-1,-1,-1,309476201,731986580,204947349,972404807,992149377,565003823,284338839,-1,-1,579041831,-1,-1,288357470,-1,-1,801297632,480775640,32236775,355764345,934617171,-1,-1,86804137,-1,565401474,-1,30939829,180111874,680135287,624106818,88218675,-1,-1,-1,456878171,213897629,-1,-1,293736359,-1,-1,358547446,119621171,584700151,483300987,993750050,83262960,202786001,232962016,313403573,53308790,-1,-1,890675134,192908175,611007001,-1,-1,637751612,686182997,-1,486129570,249025013,-1,-1,607323678,796200858,-1,371215343,479559742,-1,960993882,253740985,-1,-1,732497788,-1,-1,688159530,451160010,103397129,-1,-1,84814451,116861591,734052183,210026241,601397995,429053870,827602984,317194309,229221167,126789012,-1,852033630,682139449,-1,-1,400149329,600178799,-1,603956350,59406239,289149569,998015874,-1,-1,-1,746498375,743165843,985375443,683271018,-1,789992041,574698961,310044068,705706044,35290488,995648008,368993397,-1,-1,562781535,330229131,-1,658744717,690400009,212170428,669018538,265297488,70920258,695335702,396791049,897619378,465611712,975754528,296245448,-1,547208304,-1,239590360,-1,-1,-1,-1,628822648,187200815,23552355,836086279,479969376,761490360,-1,417470838,284284302,112057261,-1,809484017,692210115,26128806,607639368,251449472,369817016,356547747,-1,162907988,532494780,516311261,812578632,804821291,-1,290167344,-1,613491263,66994035,413177307,405953690,961328655,703146454,-1,165124628,241865857,183269239,-1,-1,35841313,637633567,121270243,398813798,-1,-1,842450152,648212906,-1,452746757,552969098,226577998,898836068,310328361,80269877,5816632,-1,425175156,290271282,-1,219877031,-1,992612860,-1,665034185,467970758,255385177,-1,989212381,754826524,870802756,398909809,-1,892528951,538529750,-1,-1,-1,278037220,883578111,765403700,38817110,314125680,529636520,475221458,-1,349783701,772992343,-1,-1,210190623,576571927,-1,646016851,833922922,85346205,1142968,-1,899122993,-1,-1,650903032,682250875,639441478,271132948,108262435,948429649,178453025,715327925,-1,665557738,-1,263780688,445809654,167371194,-1,186087510,250787281,851310038,369376788,621366954,523641693,673550617,-1,885224367,-1,910978969,772540310,995637420,303566872,322207106,-1,374066111,784794297,344414253,-1,873236726,933732251,-1,-1,58840888,755642991,354955639,950252055,255131987,-1,-1,761832739,13182381,-1,205333929,-1,-1,33559181,936790426,-1,772207403,18321234,-1,739970796,439132282,435128382,516397778,672793822,984964584,-1,-1,293307143,-1,-1,869083534,974280959,-1,700570902,591355018,-1,462323147,992276244,-1,-1,-1,161503264,121101936,393509404,113660855,755504506,128307964,708574533,27536915,-1,321270115,-1,123014432,393074635,541490225,-1,217484259,549996887,4721628,-1,721059743,219406527,204687554,-1,-1,352051348,884748329,-1,348012994,781981149,834476813,833733199,-1,438496323,-1,874665419,-1,543159952,-1,-1,774534470,-1,429124994,647635805,-1,-1,486630451,7237582,381370365,689415658,15699977,-1,98912,994412359,214410775,853062562,477258908,676348893,-1,251183862,970489204,-1,640002110,327494989,261209732,-1,279349530,-1,166784342,418598044,181464953,106760835,-1,-1,-1,384950141,739608900,-1,-1,-1,883195949,624185155,562449883,286191174,254021731,-1,154701818,755170858,995446398,-1,-1,245541122,58405997,374969527,662831664,762137525,769802732,-1,252224128,835010821,429077329,602696559,-1,270701513,615556300,425070936,847155482,422797744,-1,309939050,394421635,332633262,100571302,302939398,470856345,860656114,-1,555632157,-1,45148517,271247456,118032356,772998807,204717794,320869283,366661053,529218936,406342693,13108032,700353088,-1,953860788,-1,520430773,960479656,-1,-1,128367381,201848888,897916239,542486986,334182645,728918788,-1,-1,620483431,578862770,-1,-1,634033951,384910900,663465877), 994313447) + } + + test("test7") { + assertEquals(Main.minDifference(19705162,978315258,681412196,796339631,910006879,610054520,646881330,996060264,14516640,653539170,-1,-1,814043832,434805051,727817308,771688379,837579598,280321219,542338790,315779327,742647586,914355330,-1,-1,505312403,-1,208878885,-1,823720052,-1,568897036,131189110,-1,327425120,894236587,959157133,86000194,833382354,434822518,277503152,163884446,150336342,352774822,49235388,-1,-1,200029141,345751397,128782935,657617560,-1,452111817,744251792,693143517,-1,730132181,986449000,531731757,-1,-1,-1,802817437,37077705,671697399,-1,811897802,131173817,386923395,-1,-1,989655375,-1,-1,-1,-1,842339765,441690429,195718986,-1,345384754,890391841,488483515,361103133,478930957,743872720,-1,-1,682944318,28081480,142685777,837309080,758842875,-1,472813125,985484029,394460130,852927605,640332836,425086565,643357746,194210816,-1,797972291,635574728,-1,795318937,591799821,-1,-1,-1,242810527,108525526,703129455,330761470,255282513,-1,562783124,2955360,-1,-1,38631420,84837397,3717924,151077948,399505014,252335942,-1,118004561,-1,515751299,-1,448238252,5261404,-1,163961637,35826879,741138610,387440008,38563524,109181227,-1,-1,5559595,34720676,980840203,43564490,46926659,166903961,-1,790690223,-1,894664776,750786156,909892879,566690544,-1,608138846,-1,-1,135751019,114644941,588184098,347313748,894318989,601594802,589675171,414528186,883830314,487535088,540246,-1,612249900,187053211,654944948,967459365,636522387,-1,861815372,957014353,206577759,-1,373345129,787031711,-1,8385032,720699280,920448211,-1,488129838,269551479,656986582,884698170,253458095,557717685,149921459,-1,304737800,407029277,-1,947309890,516506677,497104048,966590096,978681142,667611237,393890247,39414728,-1,951938879,-1,968710556,-1,954193892,909646505,412361070,122023302,553735666,-1,477975571,975721923,701800166,38251432,773740478,703957907,-1,381719889,534984695,19966173,450454058,77896505,405303845,749750730,92538181,667524631,342693684,433062051,479064771,336109216,449860028,261126136,-1,333602993,-1,366621156,974428544,89544279,240716231,167747483,-1,165300295,649483658,708507366,502213425,-1,-1,-1,607809149,415033310,72643656,-1,40358697,-1,-1,-1,301205031,556420928,-1,671549543,986377063,-1,378450234,-1,605562161,36809691,-1,72128388,760224688,-1,487306061,636311123,434959845,-1,354241306,-1,-1,810476617,847358624,521132031,460888718,210789165,499308961,305454636,363755409,913208224,-1,389154172,749519961,631194468,598817974,-1,-1,315574400,905703149,732023914,-1,713561319,-1,565582225,50596363,150722671,481063821,152372389,265196672,-1,-1,152726456,415048143,-1,17564609,446349234,390561866,209395568,839750156,841454109,579973990,899347986,-1,-1,911396027,241511121,-1,452980092,-1,623807803,178836576,-1,203930867,-1,439795036,-1,484019706,501006780,873134798,-1,771171284,150799301,409049924,558428596,376304622,980208953,-1,-1,231258720,972806869,-1,15430318,123575232,6803917,400091796,-1,-1,667167069,487721663,123063818,929017392,646189406,882458313,791154829,-1,-1,740532140,-1,475055286,912435816,330676200,-1,-1,756388714,166097074,435684087,823232877,331189646,-1,899529403,-1,-1,-1,892326013,214271494,358800090,791703546,409615302,796271455,190473146,-1,892672034,-1,-1,-1,249695387,530231449,740635308,-1,-1,323420079,157892469,-1,110094286,10101300,-1,411390602,-1,40071757,-1,-1,157879669,597607191,995994567,-1,-1,429747959,690917544,266815959,-1,338007395,960120531,-1,155889861,54048599,550580240,-1,548199967,-1,996059670,472607885,534234739,816477840,492077484,788067243,63425,579189437,633709329,-1,715862761,716398840,92938093,602321124,977760849,223295761,-1,960532818,735981812,-1,941953057,895903398,586266550,-1,250400863,-1,181452834,391948867,643136020,-1,507880771,858487739,832556516,541333386,349987591,-1,196817571,-1,-1,650656962,324372243,-1,560407818,80845745,723760420,-1,103075725,-1,-1,841506059,133084587,-1,478222047,863444877,-1,-1,-1,693948682,-1,556507345,867322250,558702732,25235102,46811031,59470101,-1,678976410,177099205,760980640,5164227,-1,-1,720893183,49689581,823148115,468814406,377629318,117863126,555576102,816462595,553166328,278929542,762931997,192099924,440526219,479422152,569257384,711570372,801824936,-1,42412672,1123646,922397939,-1,644262621,-1,111407630,945017725,81997611,94268670,740635413,600488191,679009455,-1,204783346,139262395,518013226,131379639,330033750,-1,-1,-1,-1,545729458,177599370,293948551,-1,833908526,491888628,117582124,993467610,-1,-1,-1,-1,997333766,847031761,134679440,76669517,356134158,310980491,319023169,662425639,513599008,-1,319275653,377451096,616259690,36014514,277691555,-1,156599069,593490432,142092634,-1,758014318,-1,-1,197324381,441077386,-1,-1,799425867,294097190,254018202,879002964,758220294,476414045,-1,923165797,907826015,831071599,-1,436046335,-1,777332415,-1,-1,426859585,-1,193717875,-1,808411673,411145529,-1,984321558,-1,413422721,386772464,731134718,-1,872857309,395721506,-1,220141604,-1,-1,258570118,406043392,-1,390133771,-1,83496142,701742656,446336870,703508840,936477513,132450714,-1,-1,-1,670255460,236888370,-1,-1,739255345,154753233,699365251,-1,230975719,-1,-1,477961216,-1,-1,368510507,317411904,318842286,459585543,-1,700903229,563812953,50841606,656791129,710160748,754883235,132823386,195208562,743452022,671344030,161863314,-1,842851637,229265049,-1,388136150,775489206,619581593,269909601,1331195,-1,-1,921921159,-1,410417913,160392237,280688394,-1,41843836,-1,340937803,-1,268219401,16258913,343614420,667368853,524148142,848074559,946853768,891074077,501011430,478887185,530922692,866624393,-1,320461155,425418553,-1,734809378,-1,-1,-1,518271819,642230996,993503757,-1,435988275,292371592,-1,856039424,169414747,398539720,-1,31251059,584374738,564835438,606310210,102017052,426297838,699740532,339277509,764472611,542247868,-1,575915178,497855510,592723759,113593561,-1,36902057,-1,129098555,713535835,251264431,207639601,-1,757649957,-1,851272125,-1,135451950,-1,270443171,327133863,-1,653072440,473207618,651600280,691932678,141187929,696688252,-1,49723051,722709149,-1,-1,202922345,873271427,-1,-1,36639085,683443160,83099885,543985834,615167734,832812086,7797532,39856916,747146330,-1,-1,-1,-1,593377405,820565652,-1,451705725,-1,858136614,-1,606492238,616897758,-1,-1,-1,383077348,571356456,-1,354151607,636375628,583510195,78994640,420494598,-1,994366270,986924953,-1,160296138,799173616,888176848,36523579,-1,46992328,797459224,356181689,-1,-1,-1,47487881,223388755,635824862,361299851,367446754,-1,-1,780955510,106954864,422418832,981736062,-1,395506218,-1,777119217,-1,320899322,-1,242506055,768471468,131223662,523970455,521215003,-1,-1,307899408,990660387,891189834,562550904,24378563,938903294,-1,802471416,605970643,263490468,539387075,-1,-1,-1,370121446,479462529,471273021,647387359,957202857,986520052,538891956,948127123,-1,260231434,61789089,352476870,51873971,913375599,-1,918174343,302711169,645906796,403066422,-1,768618665,-1,537514118,700465284,-1,233248385,57292723,-1,-1,349839250,53130418,799788538,190268554,453980051,965971867,179056507,-1,344180212,546882891,-1,-1,624290742,219069754,959973033,413775369,-1,396707066,-1,834242807,-1,349131602,891703951,-1,-1,-1,-1,342320943,-1,-1,-1,-1,257437610,110216242,-1,912486916,293264769,979090754,130991541,158519833,724068782,-1,853323417,966725575,36195208,274011345,-1,498953252,226037799,736724190,53723768,-1,-1,-1,165249992,-1,840348404,697307140,433278733,569469757,339548215,158214408,301853832,859867411,597996472,693997489,27006202,947685810,-1,194181161,749669458,589357107,848982760,186931065,636906136,-1,634836246,917756424,601872533,748938445,811365992,638301100,-1,-1,255797230,512113054,965752202,-1,581443272,484204849,519811599,861950160,502821170,961342774,581531460,-1,131764821,708736982,-1,-1,884012448,341415751,631645012,585321583,390448367,733142369,281180710,739352925,-1,375977207,271738336,935453196,-1,734181110,290145392,-1,787008732,902530583,654026725,522818514,-1,450863900,595620059,547153245,365917304,12891558,445370918,-1,2913491,173225355,-1,592671236,476895453,210311572,183873223,19180432,469589230,920034411,302881152,-1,328091922,538562411,695091697,-1,566997115,-1,-1,-1,-1,-1,284273141,41394734,-1,784974307,900077489,386481857,-1,972661542,-1,210565038,18378606,-1,78802452,157611801,786236945,498201519,400500720,5552783,-1,-1,646078811,615002412,-1,199121523,-1,141928894,568409777,167195056,-1,301235294,-1,904800937,354949624,609167894,661075971,170449751,-1,435185426,813571240,53470201,727829911,-1,-1,913509977,-1,288032523,799033199,703022884,263430016,768919801,972724626,-1,17870628,330225440,49288208,267026730,-1,647575062,201740808,879242309,760331205,153429261,-1,666023798,859127856,839995356,-1,490044827,371961975,870799881,-1,-1,330962963,827246501,-1,47513719,132823509,797449461,265172390,338076199,-1,116345235,441956686,651208080,121758165,344158303,733062570,270843455,92717399,783858599,-1,284960945,-1,617072185,631361444,556176399,859126256,685252804,-1,823792762,-1,-1,-1,450260487,-1,384054788,394157489,416069464,-1,940571036,165971771,-1,964188728,458750628,521238405,726902227,611990853,-1,710612926,380258456,-1,358426525,-1,-1,489517146,214695836,-1,63363728,539691260,-1,-1,-1,641069274,452622178,533399383,235811935,624207709,-1,243832250,332958124,446544912,138090476,-1,291177485,697431884,258969124,211217632,160568039,80770599,942336130,737194257,620201131,570916718,-1,-1,141619376,971696855,505322280,972072683,397571498,510614674,693066431,305514778,-1,9636447,794960863,926283840,876675363,-1,-1,697054846,-1,588040669,350698275,-1,412061005,653246460,829114216,666219253,-1,956100164,652141027,397067886,970299936,913634283,943167813,-1,28957173,-1,351615946,327106968,430919066,557753594,922556636,787546662,-1,-1,325862994,51723852,46011084,929290993,829017936,549672425,555598681,-1,14977697,-1,827699807,476223160,-1,402839455,769812828,483354165,817690857,529665014,-1,-1,-1,171104397,-1,-1,675807473,-1,-1,241916622,-1,838131238,624569944,920770587,737095959,276424216,-1,-1,188356940,301839091,-1,-1,429028428,700734991,886317823,735636910,74931452,824907529,206490237,510055695,832843644,-1,-1,872986762,-1,278131134,-1,-1,415404774,524877195,216462871,182789635,-1,203766795,361212851,-1,850582509,592375198,811810101,953026415,222886297,446245295,-1,708870491,682375256,-1,-1,-1,828347515,-1,942910306,544592204,-1,819540490,720992391,-1,697624282,480347713,194709432,57409499,45300729,63838816,882920931,869853332,209282545,524492117,-1,102729389,178263938,493076827,417043534,215301584,635574425,292032019,630503826,435793902,-1,-1,528988135,375958853,720140957,805381778,-1,628200169,696764488,706335557,802599000,880078352,-1,32261588,-1,751742537,-1,388709289,122577894,539247774,928652221,540751623,-1,973717587,678102352,-1,359191601,11363354,260409830,875870639,-1,781331629,211000704,901059332,24931126,597311053,-1,487041918,-1,741741151,155301792,-1,190132070,123712397,133955142,-1,268776682,972008327,837767786,464940618,-1,-1,-1,-1,775971766,268315376,731132458,-1,24413199,-1,397787794,66707386,445874829,909115229,237154874,249426786,318693877,840684114,234925905,949437766,504955278,810916873,-1,699030325,-1,834070768,174383608,-1,675204113,956405121,503322424,442290264,694639937,-1,482030805,323675306,766567126,452521746,-1,-1,81574413,217840476,756792647,389165811,-1,841080259,866948348,301762507,232196092,704611864,316203669,674438070,-1,292844977,334780624,283341677,682091064,-1,653354643,-1,124725677,-1,141025516,161255140,728873455,747799133,-1,-1,-1,852706256,684932432,947053724,804555439,9130574,-1,-1,771414080,916130950,-1,-1,974898891,-1,233471135,973335667,360615987,617218175,104656255,153325019,234984364,817586463,-1,652359961,973918843,120978125,362100980,342246780,931130398,231275619,790895938,-1,-1,-1,318481626,152921451,-1,260520646,910560344,3177638,322272527,-1,974751383,830987761,-1,776717116,241655542,65309910,189417107,929987068,536425533,-1,451731479,-1,391792944,924944805,379186888,233684692,-1,922560166,358511002,79421556,814984656,582412266,742778813,-1,528815289,-1,603860632,-1,178738472,-1,-1,958692522,-1,689474991,399117825,164254065,760190745,-1,420123514,586198131,-1,314468917,854565391,363951258,362795887,363928107,774238835,749074036,707680778,-1,-1,256884383,-1,6385047,366878590,136873720,-1,513196264,952850681,81171162,599214684,865074065,93911670,478026993,-1,694637721,-1,817908105,54493804,-1,730227716,-1,-1,-1,717960202,217269760,-1,-1,703951777,-1,948926798,140049798,409161102,582168485,-1,-1,346770773,444680537,591600657,718592488,100924179,46534054,765824148,-1,869257576,112943094,317748492,133832189,21315826,135970704,-1,153644027,61461535,609310130,859541019,-1,202952975,-1,529366962,622858974,852081423,748407097,892317425,-1,-1,613583808,-1,2441252,922956224,432481392,698330038,543130965,-1,90350190,597929433,361173918,700970399,81177604,253484956,-1,-1,841339139,-1,74600802,852020196,-1,855425636,-1,351956118,79400997,735342274,-1,245688718,821119783,189546308,569281291,-1,131050942,-1,462385567,761639521,797550386,66557156,-1,-1,883869268,-1,-1,808279582,644584077,137806277,211738608,506414800,346843495,587337045,-1,-1,269627341,917725262,169528767,791423895,221833344,571014548,753495456,432275917,-1,-1,-1,-1,197792823,981070122,44248630,-1,308759906,-1,216349206,373479036,-1,730669408,-1,291071111,751590089,129685718,719024518,111737218,-1,-1,269533774,576273817,-1,291021696,-1,-1,522707394,690082346,472078114,226739264,675753151,427718236,715950889,998591241,279022430,341277237,830837483,373312870,470743409,-1,921934421,136327574,539957951,-1,-1,-1,327760164,-1,151395487,-1,-1,507181376,-1,425129073,-1,791496949,100383880,410196786,638776064,-1,408450313,-1,362957976,-1,95321251,803681290,-1,9867961,-1,-1,803562473,-1,494657244,824560420,259459340,884005106,319832019,-1,774538344,916089106,159106117,277808946,-1,-1,-1,322230295,-1,74900676,-1,124649472,71755717,927150586,362076845,684885677,134276292,-1,854603583,405547484,590802582,-1,-1,502001081,-1,667502871,439167615,972303998,-1,-1,-1,359571671,722500208,-1,918715773,510884139,971503186,279126270,-1,-1,-1,169514224,748331485,294711048,675720261,-1,-1,265714918,-1,-1,-1,-1,-1,34657578,892699732,894721699,-1,-1,-1,266753150,993660728,-1,-1,-1,609872620,394008787,-1,553165851,300410161,659071969,173260062,199252613,681585252,-1,668029891,556773446,-1,934805294,340294878,260516861,-1,999392004,472186922,-1,750566867,-1,-1,591560664,-1,-1,-1,-1,712473187,841084255,970604126,1938975,800730989,-1,891859746,553417178,38764657,920459511,-1,-1,-1,336070363,969562929,422775270,938289102,-1,-1,913441208,77637913,322889732,872600456,648903280,678220855,-1,99335909,-1,391753174,-1,-1,939288624,-1,159920356,6545293,-1,-1,-1,-1,754702369,775976132,188527961,-1,988288781,-1,590502714,-1,920772612,294366694,302265161,523577214,619153438,-1,462190499,688205609,835008677,-1,146289112,528470547,938741663,-1,-1,869037613,628069821,-1,827237371,-1,762643804,46288586,-1,463749443,173244185,-1,946933795,-1,543695603,427593014,74112515,-1,255578209,-1,249573853,913947051,331955523,370769388,325457353,742801095,443905631,-1,762815825,-1,567367809,268025809,450959672,324489717,469513024,690268729,987418322,706112596,408486585,362068101,112664605,401741579,-1,-1,-1,-1,769702504,485670191,567181350,621384401,-1,987680840,189079886,430690461,56289812,260639607,-1,646255928,-1,223759837,859884491,292668833,921460733,101388975,752785871,46499217,-1,482956687,857844665,117026594,827059835,704749169,751435229,-1,-1,661870817,972056140,607528339,572180919,693046399,-1,-1,-1,226942414,-1,304530923,140258565,208314314,991330041,100462950,594989020,507372085,414160632,543523608,-1,-1,-1,324955022,823281617,136740270,878227266,78505758,997548770,-1,547771915,149384057,139152219,169606247,488742587,-1,286244950,33250273,-1,961723614,876187178,709684893,-1,290681144,726378765,813540172,-1,840472543,617759593,574686946,5307564,477665250,840900480,593987622,109694738,83304701,673234451,215315019,-1,833325487,-1,667918049,350096049,39919749,-1,74705630,-1,664192627,115076797,-1,623524677,-1,81641719,576370775,-1,-1,273031643,460124262,-1,155290306,2173687,-1,933863218,-1,762356428,835355114,-1,955847348,445450277,-1,-1,-1,678872110,132499377,14685508,-1,582000412,330461559,973294765,425130075,-1,-1,559545938,291405942,254502537,907143008,949052252,964208476,-1,216395182,340624199,826189060,-1,158132587,-1,-1,-1,781393051,-1,448026210,109787935,349419432,-1,-1,470319200,791206944,-1,-1,16230185,841133590,530635803,660813633,194824291,641483790,-1,-1,-1,595534444,496327613,914713839,929156424,805336407,206006271,583917571,885822671,401036700,499627177,927471718,-1,-1,163030962,116114321,383450640,-1,-1,879528106,718628378,731388595,928453464,491689676,-1,-1,661568017,857151059,237753273,238840152,671084815,118333835,-1,-1,721837482,715265373,664997636,-1,491006289,776190066,653960522,324257957,-1,540151050,500627599,-1,472972244,-1,192701703,264217284,-1,42659000,577365202,-1,-1,54546529,691498403,6426837,-1,705387313,856579832,914279761,638972843,816726751,497302323,-1,505531863,461601974,198014973,995837926,240590065,92418139,179743337,30095249,-1,92541772,-1,-1,842966447,179463340,279086428,-1,359718476,-1,437973973,984821906,17032346,805811579,-1,673101931,687073947,520287200,567749207,724555888,-1,54395542,-1,560861090,-1,461448739,769813871,-1,198520301,-1,-1,349275846,663633561,-1,89375986,-1,681045461,156499258,-1,585548428,781105347,312090789,491078156,168343136,420611002,565624439,299911837,-1,874222661,-1,933740354,-1,411827920,548902158,-1,740058360,-1,10355473,411134917,-1,401163550,754698752,615688835,331337588,575454817,58427385,-1,-1,99465877,69160192,663085827,11391294,138610796,133048133,85301625,713214426,-1,-1,940588228,-1,583211350,-1,683167583,48518035,704081510,490678542,437850044,785391621,238234865,105566671,614363416,-1,775376931,-1,40843702,84568456,389315379,844590961,-1,292896390,930529655,740412915,841539236,828052345,280536277,594209310,479908541,-1,724071706,885595718,-1,-1,-1,703257384,543158870,11355581,244624213,174663501,184179229,520010398,844647265,765432183,103152364,850642902,401489389,257915985,521556711,-1,-1,-1,542687883,825019505,734821346,60691697,170090875,-1,-1,-1,607409482,538550855,668593213,885084808,972011250,323937059,897457108,161165435,184827183,786433476,995475320,-1,692704097,-1,409699934,-1,38362121,-1,402069154,75698629,-1,763715078,796366713,697390767,216436862,836118021,522693461,-1,140964613,-1,665657509,562270314,343618934,579448314,341926733,619844669,59606117,454858305,483026030,110982203,6022112,62876583,183004330,553336820,-1,939753013,324200665,786463654,42437647,-1,-1,629909800,-1,-1,-1,-1,-1,880972740,455147730,204277545,-1,-1,565755846,570627836,584059988,21348736,-1,356147693,-1,403512998,341011539,287677637,465574174,-1,5265466,372111615,-1,336779941,-1,817816301,44658265,-1,-1,-1,35401712,252421969,980759708,18590134,984366118,261065368,160051419,-1,-1,-1,72192342,-1,433220394,158520076,714951930,162316325,816000613,347869073,562016651,865663870,509663527,742147445,277310225,-1,920398599,-1,-1,680179970,791579671,-1,-1,804744,-1,607155496,-1,619662827,912943074,-1,-1,466735234,7624042,685886520,835851118,132929014,246169599,439216787,-1,577950207,694271261,495946826,722466962,-1,900634892,500035666,848256864,723105020,257678562,-1,-1,112129312,-1,565763249,125636409,976653300,523922721,546348889,765148641,231125761,189039299,-1,-1,957166334,772151134,-1,494597989,137065293,4847859,49219295,-1,734924206,600819877,363917591,143109179,-1,640119994,900083448,-1,-1,632607874,699243554,-1,106699323,871538762,-1,399943909,-1,851681962,-1,222519679,-1,-1,618905437,-1,761128937,858642537,-1,-1,527046814,981997439,471327035,778786750,-1,214481816,820825987,714693992,864746019,468891080,-1,99185246,553436400,-1,528069424,708539179,357038770,-1,656664341,607328924,-1,375836103,55413084,868237651,545259786,-1,92827645,951863775,621926400,-1,371322279,307268712,101744243,-1,178248244,393765727,427667572,-1,737217012,-1,-1,-1,517757255,-1,105737509,985022938,-1,824332045,990939704,182307645,-1,758541976,163101547,-1,293920927,341797276,420450540,-1,830798870,-1,56688935,-1,163641571,37026831,454333166,924716249,169491774,-1,544708461,435913412,-1,11805460,108640303,647094708,-1,330790418,-1,714604083,464078552,483684475,-1,594504846,445702843,49959365,-1,-1,-1,-1,588526189,394675040,135058691,-1,77049767,255830011,11995314,-1,407780113,662854370,439285260,167298803,-1,584810480,502941077,629037770,860192120,-1,-1,-1,-1,671345747,464572523,803431992,-1,8082251,250199826,751744076,343119336,-1,186669169,595261123,626288695,375948067,935451934,-1,-1,641526996,943195421,-1,-1,585479661,480177271,840127231,725218460,184926808,66961975,609020893,70878022,64398144,-1,-1,-1,-1,56765489,219876764,245106908,-1,329604176,49943414,246044292,943354480,-1,452787318,524525408,699933698,-1,441429179,672115345,-1,-1,333401938,649158652,246050261,261074151,63858691,249732422,422494182,53344029,162325585,536337841,-1,685952834,838021,905204322,208066194,-1,-1,232886676,-1,457443154,265931070,39926650,416428171,199163368,713486489,978632492,54940358,972989379,-1,833943710,156506866,80137981,156554962,29091167,-1,377741805,556441068,-1,781617168,733572514,-1,252605686,308056333,43186126,930614959,-1,-1,102759881,638611014,66336755,25138030,-1,154139454,-1,-1,-1,862960586,117225351,-1,123776672,-1,435507372,-1,-1,-1,346444751,436954284,409563750,-1,532400088,944617204,169132822,705868015,248667590,490272326,61061790,635548001,678284648,-1,474833376,34187138,543980756,757042458,335537741,-1,875279218,678562452,262984126,-1,-1,941798820,154651838,-1,-1,555268490,970466687,781394979,932483070,-1,-1,-1,271296456,-1,-1,469183853,-1,621460313,-1,-1,167330,-1,-1,-1,-1,-1,674427062,493251193,786589029,102863101,-1,5846424,767878662,426753832,657705818,-1,-1,201214131,959408164,26871918,600189272,112407176,40727067,191763436,568895396,941216424,510341908,-1,457136180,221400320,451956530,145335765,-1,568921461,591550966,872095839,-1,389051726,930699102,-1,480185386,-1,-1,815319866,985616076,-1,800476892,751758931,-1,-1,426182617,196945480,492070145,-1,764177248,633426963,638371395,-1,373013844,593176740,516585102,828571683,757242698,402168208,484761455,-1,140763253,559052991,563057570,-1,213221930,-1,133788327,-1,745276913,141741250,209460226,-1,862701276,723909041,932481523,-1,935158781,233445592,98223430,379384095,578400254,846000383,750309190,704061942,786918338,583262031,337307830,395706778,185975950,-1,827035128,580780093,852645881,46035013,69858491,101969701,286907633,-1,202221995,468932480,723207747,154371213,868860238,-1,203580350,150191873,-1,532035632,212675877,475968364,143872832,306257930,-1,-1,188984716,237638703,540652129,340565273,794978446,356537900,171877671,618304016,279281867,665557624,424095752,487719781,-1,986544354,-1,222548185,133160873,760661729,95835492,266000640,734727375,18973072,-1,-1,590304244,302472297,-1,575890994,212502432,14219380,531919569,376525874,251071542,-1,993808643,323865386,-1,-1,152938213,997977644,918650296,703073412,-1,631105150,796500934,-1,-1,-1,71931179,469597311,-1,-1,111159998,751819108,437419269,947443106,222017176,530598694,-1,228306725,840429540,292980390,59339589,504625450,965870442,560048934,44164368,204886124,499801246,-1,515689727,823183253,828249898,520479269,-1,-1,-1,-1,86357984,71693209,379409413,707318526,146295880,932028661,321026910,623184869,416346096,-1,166795549,443145551,-1,17996418,-1,-1,-1,-1,-1,-1,812406714,65487267,229573002,548890211,255966539,847683698,-1,904515907,867417194,-1,-1,-1,564141809,-1,-1,-1,-1,-1,308373967,177768810,622742024,-1,351083098,556304151,859688460,354997395,780086273,-1,82869547,822245265,458617166,-1,-1,238295554,-1,950376232,-1,393481970,57588027,125738865,-1,488543780,845598496,113321894,713311163,-1,665890717,174214026,777246159,-1,124173764,-1,253226046,306714391,-1,900394307,374134480,13516762,458749768,483462795,724770120,-1,864710415,-1,245132281,-1,-1,446556817,-1,-1,-1,324054342,236478380,193099904,42138808,535827529,-1,935609153,-1,697607070,-1,574381018,761173387,756901022,28023123,380486079,-1,311077702,687531038,642450825,903785904,-1,-1,342554492,901143840,592541743,-1,989660916,-1,105768819,822891008,227774814,-1,-1,573958320,789639760,457924392,507151496,185545751,402358051,-1,190904771,635109921,203921795,-1,-1,799052659,579661650,630339179,442690275,-1,123614820,-1,962788488,904379194,-1,-1,-1,489811593,968940906,-1,920253840,-1,574881398,516994287,606993062,-1,188576259,474953123,-1,-1,-1,86753825,-1,214773200,410877987,380429212,125120236,911986409,173580705,801236786,-1,-1,375283141,430402647,738008837,359274532,519425374,-1,224203911,-1,-1,839887699,312820075,414016602,979477906,658872812,12786599,-1,-1,575950711,299576482,362170227,721951892,498879351,338906372,930051803,678739974,720529237,328413738,580631091,831918275,-1,738751945,522959772,88355774,-1,502387797,964405132,118530188,760838650,-1,560873721,886455199,753351754,921426664,230761702,-1,47662083,537102287,721226814,525904333,701701958,-1,193931310,846132393,847684093,-1,543140177,-1,899580577,790317296,404816224,926422880,933891568,71500521,457022819,975810593,-1,558342016,290219572,-1,-1,669697529,-1,-1,30619156,644559323,306331416,543122361,484747877,-1,782172483,171439810,148777537,-1,112239144,-1,170501128,-1,-1,141414048,294919660,-1,-1,155395079,441978421,42728318,797876694,584574625,-1,-1,522000552,-1,-1,937219768,898839010,990666723,-1,189045408,266189070,492399779,805203442,-1,-1,768581567,-1,925142652,325503873,659852998,-1,733633953,829125741,-1,625667619,773418609,-1,-1,-1,949608392,911984190,-1,59199136,334631256,260167526,366273126,709172415,-1,448931787,474584118,455680152,326413740,727498992,246280524,68988292,819270666,939406597,161304696,125954970,714761374,296438035,645120331,333670865,447452780,870000750,844820727,444814369,785212689,-1,554239242,65958584,866762292,798498724,-1,604132038,-1,756017182,852381245,543365654,906500954,544942723,942541721,878538343,509909220,-1,186745019,387436990,346780989,-1,37310512,806761483,526372773,543910673,-1,-1,839013791,576285334,-1,823333191,748575689,546816261,61653849,992758426,929584466,766454994,412058332,-1,242704268,150027697,16910718,-1,106619566,324079983,691030069,595443395,822516974,405085778,217100515,29692335,868722867,460515082,-1,551157720,267491717,260894664,110622831,-1,904729506,872998727,735896214,560445786,421819445,204818516,-1,86228890,845399956,-1,375990765,120069973,663937633,52977565,-1,-1,-1,793679678,840076725,546956423,765266944,194572821,-1,556093553,859549842,-1,85235523,452454357,550574644,-1,-1,988188044,-1,643987269,423002769,449211043,621774449,130812792,400326225,325316969,-1,652910225,567943191,-1,68546707,547237885,73764461,800134694,-1,759086450,-1,407492891,-1,-1,638332092,-1,678585305,28115677,-1,592141129,798756419,133128361,-1,475792778,685258564,162090044,563362462,781110041,-1,561104817,-1,-1,745718562,-1,67994081,21989361,-1,350949538,784441492,533121431,551464943,-1,967557580,357209346,143404562,279177315,301423038,-1,-1,-1,-1,-1,381423270,200882427,-1,504634393,252898677,-1,662118999,466079551,-1,-1,573967137,-1,-1,877728005,-1,-1,510163527,800840394,526345848,957627542,218624408,38448190,296111774,608575121,752072672,446209396,-1,550366088,-1,139360753,158735022,439984642,750904034,-1,244103228,636812605,-1,58694248,958582628,-1,670488657,742163895,545359424,-1,756214047,526905397,675450943,879280253,875040548,720545751,56881973,407207369,855149096,14005418,223779701,594958981,224116638,-1,104697944,909697371,451228656,487652618,211021424,364403888,931171822,270028548,-1,-1,802301510,890158505,499801729,251160740,-1,516702982,631277389,410783788,506071321,889432322,-1,764425972,754392762,209894392,341209446,11268726,-1,-1,207006165,144160020,-1,-1,338442029,-1,64726087,265147763,-1,-1,318239309,-1,555718221,568476253,-1,-1,-1,133901857,439027538,514422656,819190901,968974460,368983038,-1,565810135,621439747,234505589,-1,-1,888951506,-1,-1,727484149,708503837,899043064,-1,55584898,170380158,938322857,399189279,679875407,492087611,2265841,-1,943167998,604163398,-1,687629296,-1,580122369,-1,407400895,204125421,178986601,-1,568711820,622483388,-1,-1,653063615,217029480,718880147,-1,-1,44109082,375642526,506261100,-1,454521955,112446927,783653301,662601548,410995413,-1,622885911,999080662,288855156,372908582,-1,-1,-1,-1,480918648,39186847,755205494,-1,674634957,855438632,475750661,257494552,-1,849295043,644727016,-1,572281262,410515591,-1,-1,928137202,850189933,275111811,685298585,555613351,457932877,17979420,406477616,599404689,346295038,727020438,-1,-1,416227889,434348136,747780544,-1,-1,536642819,542902900,357857857,606272122,737680235,726522472,-1,849371679,162896621,171550904,184826566,100941655,-1,296617062,345792967,368251407,-1,717048930,487125378,974819015,651422088,200838300,-1,-1,627255722,896997948,-1,890850382,778891865,646414795,428750427,602580168,-1,755156488,-1,986465378,563885599,-1,928651893,102927980,357584255,643273690,684506964,304187861,-1,832335868,583627861,545369703,358029042,-1,-1,343046239,972984290,429908782,862088952,-1,-1,80812981,453116820,307361414,5390234,462194864,53756575,-1,-1,-1,-1,-1,685623994,354919730,686905113,-1,978676970,850561093,12404601,-1,-1,770582620,-1,-1,-1,599806274,54622444,198543345,975555385,-1,-1,-1,329076135,83904352,281079674,276780746,152192626,-1,206087308,863347300,-1,-1,833965498,-1,-1,751105007,-1,817271920,399239180,-1,644003065,-1,561526220,808711759,221077213,37937532,617388151,-1,931798390,207682763,296595648,-1,534005634,995954264,841773447,578035900,-1,484446507,-1,851980404,379108446,-1,397844855,-1,602769346,135070048,-1,-1,26533497,-1,199671134,400345596,-1,678928165,488515347,147079900,37043404,-1,-1,994840286,577059260,131415988,242391136,541767363,628079071,404342351,-1,664102523,410437785,745713363,-1,940042942,318781956,-1,154657441,535905869,658027777,28393687,-1,991124175,224913457,350566567,103216878,384250120,461810105,-1,-1,183107206,-1,90431188,821514282,334396626,-1,328878866,449550083,813990526,-1,550302140,-1,233551512,566721474,938787775,272816788,591203516,47888769,-1,-1,225553665,-1,-1,-1,351174154,397488017,925828574,426543135,599757836,547449290,523162708,-1,541479777,-1,424249955,848631109,499971066,642234986,128623584,-1,-1,159166527,-1,975396592,502470497,116216793,-1,857728444,760035255,813008924,-1,-1,743102233,-1,852522551,370296600,861838907,-1,283257152,388183126,119914612,904534806,3140485,231399100,795849528,22004630,611572543,40861310,323174441,92207048,636375677,900383497,-1,345220506,945301961,-1,-1,695402401,-1,-1,180687617,-1,662639757,27761771,792011586,-1,-1,533396289,661968138,617019582,290719118,684415997,820867879,-1,-1,364925851,159991650,509384477,283222294,-1,253061438,-1,754278450,-1,884364196,-1,-1,637478077,106811401,404913890,-1,375329553,-1,365846273,571907411,-1,965679834,220196848,638631365,-1,-1,267939395,-1,554166610,-1,400383488,705553495,674149775,-1,170505032,276674461,737493412,907928352,258765886,885814999,641053272,924386948,378522819,906478759,273823347,469357762,783033440,-1,777036131,756641903,613858459,48546690,382582637,395064457,930384989,-1,-1,741269332,307362176,371234797,169561634,-1,-1,-1,957998641,-1,-1,331000102,138737676,431376462,500286634,932282861,861717345,-1,25052215,108203606,661215388,121494227,471807303,278082918,539803500,-1,941506407,-1,304349585,759382,-1,-1,66123923,413250283,744951103,669675599,768077863,195116261,116738304,844143791,169129196,934416767,918739798,813444126,308993895,630950980,-1,201851195,-1,359038994,-1,-1,412400791,931681345,842344875,-1,54179898,-1,834115949,-1,945438088,-1,639272756,-1,658899683,781819848,-1,640057797,918814593,-1,881850484,95555397,818217438,677525638,779976993,-1,-1,809395788,355321650,338768835,994270289,188930497,627489849,527553683,250287854,993509901,778112125,547930621,309738979,-1,120279847,788635470,-1,280423364,470217806,232542615,-1,947736769,995835549,349621191,-1,596362053,-1,365192606,527957105,932401688,-1,21164826,-1,568867103,-1,-1,-1,163346672,-1,989550086,752058007,-1,794725085,775731633,408260961,478904773,-1,927288029,996089096,951069234,70628812,396692312,-1,306777708,346641936,823138469,-1,221562904,269109143,807269786,765524076,728739986,164948709,-1,296734000,482849714,709785168,919022387,-1,-1,687324704,31684086,-1,-1,-1,753107567,703170513,30974514,238157748,883376037,-1,-1,199246757,347344706,755715244,966439330,546857079,775620762,149388405,-1,946406593,107102870,-1,754870486,-1,340154379,621491979,184431514,-1,-1,-1,712836203,-1,623659640,-1,398129974,634085439,816246026,315899899,339430285,896388238,477712215,-1,13929224,577566810,542185506,946444178,366088116,-1,419103140,914879211,664844095,-1,772477234,343508671,-1,64552093,-1,591142212,281166102,-1,555393268,174900313,6126929,-1,34964043,626713826,877051422,373160810,108005764,230730095,483126347,-1,754373891,156273691,-1,-1,101243357,272883071,48742355,480758227,832477701,118243612,854698858,981582648,787710686,716161777,824122436,-1,550702603,-1,406472181,577728133,-1,-1,50713645,827650705,210894122,892102249,-1,614049394,445368871,899720029,608203139,459961688,-1,675102209,193728407,135635336,923251655,-1,316106091,269851297,210662121,-1,-1,-1,-1,-1,42205940,-1,6951648,498449916,-1,882974579,757415893,189874165,-1,94182643,974276655,-1,787978591,824197587,-1,549815203,-1,214041153,85317414,-1,384195452,282725668,295906013,-1,-1,-1,255410206,912747793,-1,121799702,-1,25455426,245103240,-1,877266865,183510121,-1,-1,453783173,-1,801458361,566922548,181326287,130497772,412460149,353924972,354066981,27174179,906619305,-1,478494204,585427039,448897298,85450062,-1,-1,-1,183060488,-1,-1,513726477,-1,-1,-1,269946087,799137848,888649442,761136853,-1,662390962,161914278,154479842,-1,-1,562332014,477296803,-1,-1,-1,721916916,858710402,542123397,-1,63714030,-1,463966413,-1,944813629,-1,702539430,560692557,345597881,852991748,219232,-1,261551655,113681237,-1,-1,-1,868448581,777528981,821296467,992886051,-1,497899586,451263650,469062906,675982737,126259411,812825398,263485696,-1,645574205,-1,235360097,-1,-1,981217881,-1,811067911,-1,538212747,783722301,803700806,-1,776724014,-1,575091309,688532756,170567182,699119508,267584893,-1,574343257,277363661,494472041,-1,-1,142464989,-1,-1,13604443,-1,-1,636859019,-1,178857910,-1,64994099,331160661,-1,-1,590172738,-1,-1,888713804,996094049,215023755,575783795,735929561,880767173,924730649,-1,377320200,605011079,-1,538961153,547095730,149121469,878069391,-1,207287536,752471665,860197426,-1,598919432,-1,-1,-1,879364718,413608912,402623592,264319667,812831503,228738354,298881664,343700393,395256604,628281136,56555490,-1,-1,226221475,722104116,87647850,-1,572860998,-1,-1,-1,-1,240001413,868323293,312675743,731953765,-1,911552003,-1,423348663,235622811,-1,349444430,745168544,22556286,-1,553054419,984058353,328083375,125126126,890233819,169320476,-1,23438239,982742421,902353515,609408649,-1,162965529,966308386,806186458,700101141,191855818,-1,-1,-1,304632063,938875957,440946017,48142737,-1,-1,741831982,541754659,669265086,56276649,-1,570419537,834132940,-1,459103994,446236474,957086340,445549983,662714349,880430165,-1,915179785,95389440,-1,21537243,790240777,142631868,-1,27837008,933692192,510458435,710553166,661181037,627223952,605061837,887543700,678432408,-1,716486113,777264988,-1,-1,-1,-1,758792096,-1,599372985,724610248,24371313,664879237,822035330,809512141,-1,-1,891265892,25774568,23588385,751097959,827424941,956122101,892162639,701372870,395754766,594878735,823287643,227776098,977227555,-1,865373786,-1,163169294,534465159,597413849,245020992,-1,738869932,739749972,756334366,972863969,-1,-1,439469406,354143729,716547079,926707153,294608918,53606111,-1,835249171,-1,440799528,-1,-1,448917473,-1,-1,703043250,751033643,-1,898829505,-1,420591237,460590158,45493402,-1,-1,616160658,503083391,597587432,286245049,651016276,832158722,92636452,-1,524100233,887209444,291810844,-1,49810347,28095404,740171309,650107068,-1,-1,561063231,-1,-1,221938844,843108254,-1,-1,123724741,709865315,327291250,993402719,-1,175964032,160809181,-1,919954185,-1,633200624,267615170,677258130,808107040,862733714,294467170,168653180,194161272,-1,890732419,898100341,824954090,748149915,-1,459281660,-1,236321930,214000787,-1,40964520,363492995,62205033,-1,305675665,-1,811446340,584455261,437512269,-1,375785141,507041310,148454608,719447369,-1,-1,754335127,-1,93173665,-1,-1,735650376,184832396,490386041,473874289,-1,771246484,-1,711433897,384561834,85510787,-1,703562621,-1,-1,-1,-1,117809050,-1,673357376,983406379,-1,688318524,308875786,500005520,-1,474726410,406732289,-1,6940591,22912728,901744251,-1,567533410,766936958,969876196,248896598,921399426,576599139,3144508,284511998,356083306,870574911,999139863,390358484,705022179,-1,-1,581527931,434053,606742634,364205702,431024632,833722251,-1,214900145,762568200,-1,4299000,193619338,953627619,930167583,-1,339610049,939294998,275628179,583405756,970781528,236618450,833365946,-1,236641162,-1,232414783,-1,802084464,320904325,-1,862001713,536128121,215462622,-1,83269066,78653576,219733661,526605408,74160203,-1,137494754,-1,650710083,-1,-1,720058848,117368000,160843577,820773627,-1,-1,94364730,423081129,312593160,-1,-1,328879433,-1,-1,821181330,514766156,611805615,-1,-1,987317181,527367635,891849478,414747548,313453999,538797201,223186218,22017400,489215254,276626663,178145926,806069617,459508030,588967844,423319441,962033040,370931118,712372164,554631140,953252215,464006952,545404029,661124672,18014866,479574236,-1,725981971,796896272,141874445,571222613,402624164,211628309,-1,200910292,441974224,995968618,842422545,-1,982575037,790331793,292043252,-1,344417950,232063259,898150855,688964790,427630251,236248859,219401874,907440489,412385452,962536642,-1,-1,-1,728660416,857637052,882421255,148896944,-1,915644694,465360992,-1,560942018,526361822,206459183,780066714,738730582,443683678,607288125,141798199,366510699,-1,108112716,892515226,-1,769215371,-1,674857552,773784340,177683809,929787430,792805680,393077582,814127630,809044041,872652489,253982851,236588195,-1,-1,323730050,981006691,-1,186769956,448552278,43324097,678213871,-1,168343412,-1,575663413,951007276,-1,652746942,906705224,386642023,240215761,678946988,678491484,307582930,613386374,-1,993221352,79192019,-1,-1,537522990,-1,874965619,792603386,540048611,697497439,886016688,459710577,706838435,604921742,416804600,33247307,-1,206541050,-1,682311116,44960273,-1,824253505,546360378,-1,90937921,287269236,459760320,-1,-1,-1,75986991,911193478,934006348,286000102,406581226,686656309,190139257,963646189,796137656,-1,945630315,994054472,-1,-1,452066191,919698243,-1,551823258,678221492,464928711,-1,254100270,637560781,499242688,-1,-1,-1,-1,-1,-1,118806944,-1,504745842,61281094,240374717,-1,875976490,110706177,542468050,210662052,325051455,876483956,729701359,-1,545304075,319510141,-1,580099554,444323153,-1,-1,628924732,110983642,-1,-1,-1,554517380,946966640,183718707,291545131,-1,-1,771585786,165586842,891360379,88659733,690450384,97803026,-1,-1,929894395,507437998,-1,-1,10813408,970376529,175211041,-1,576304418,-1,562643726,786747635,476065887,-1,944188800,960290965,638019970,454206012,-1,251233204,934697663,622491362,809869684,515266253,555613160,375634011,231127364,271845572,-1,-1,340722060,-1,44720018,150454353,332543253,54888249,488985961,524241060,782831709,685206484,-1,-1,-1,23368788,-1,-1,-1,-1,501777847,787593071,-1,606442603,666283307,540683132,-1,756115049,961001621,634996805,270015695,945667217,-1,642793741,-1,846914203,899947419,-1,790945032,-1,131520752,101162391,619860076,-1,656080970,788504883,-1,858910998,-1,-1,-1,-1,324135305,407954721,790133024,674056982,226417669,-1,362472341,791943617,34918655,131823361,-1,744724738,208813132,797139788,-1,-1,799011821,418045761,550271075,212537395,977485315,-1,974697536,870757960,744642817,703177968,-1,887149276,156232077,-1,385575895,-1,830846430,98849655,-1,-1,19026306,-1,577596601,-1,-1,-1,822045669,659900878,677625783,322353949,264266415,450028321,869279405,731515862,362602343,624054570,46296883,-1,745696532,-1,-1,-1,-1,75197212,34140956,-1,332394603,251204612,476990493,828805710,32309956,192857697,111812388,272375029,478524948,93160087,-1,627629884,324208680,-1,998910881,923544418,-1,977578125,-1,444504497,-1,307880244,400365054,352086118,924516496,25916324,405769529,414221861,621473061,940703206,42261744,157648555,942838866,608369021,-1,-1,360179317,137093685,711490410,-1,380953289,670059760,802400014,404087263,319654340,44815491,864818972,101065299,517270707,855123237,421533745,928708098,-1,-1,763679962,757352845,-1,678677633,342301450,295687954,-1,-1,598181395,-1,640098641,-1,-1,593564902,488365264,757869051,277208,565617400,-1,952282891,82409989,-1,599158710,-1,816263477,260602631,-1,727196461,-1,587329809,419594056,-1,298132472,38331578,762026664,51431369,-1,191553981,-1,595481050,325142346,833524137,-1,883200760,823604826,442023402,-1,927092764,739727451,310225567,-1,928233596,488962534,-1,760736498,197123807,225042385,367136375,-1,-1,-1,884546223,-1,54351268,680843579,-1,-1,361352471,114758322,-1,712544928,3421397,604051062,315624716,-1,554938100,49729429,408368965,741925070,719831732,332504873,-1,647801185,496651526,275587012,479934921,-1,208854631,182300208,353764016,635133569,-1,287015207,-1,-1,-1,603208353,-1,572813448,501297790,359645484,794623071,542695743,-1,-1,-1,631076262,717824229,369977692,116953421,715264891,874811219,613880167,121645006,623387358,-1,-1,690840662,-1,-1,440233968,71252039,-1,594789092,538800850,227160140,720053571,290747792,-1,324941880,446047039,-1,-1,117205422,-1,264366201,402110568,406619514,452829130,372198805,-1,480044297,983976087,418050197,-1,35095552,989045765,-1,-1,489774626,-1,358842657,718766364,586338650,119129215,353185475,652270027,188504524,374870174,968534883,4500953,852961467,838035400,-1,-1,284723737,-1,-1,366375238,824194566,-1,176184395,-1,-1,-1,939213517,644119951,484702850,340871075,-1,-1,283942350,-1,-1,-1,213259693,897031554,-1,174551792,122618373,455349462,398471994,-1,-1,798771271,524814237,581253208,776823977,630616134,546697472,691080818,234339751,-1,821920444,-1,720432110,692647569,863962832,-1,291510341,-1,732087197,983038125,-1,472236759,-1,402216429,-1,616947005,667727382,965463163,533593265,291425156,371686976,412911543,639399673,334949816,82182480,-1,725201269,442308041,128635211,126425295,993418912,463264097,265144826,-1,432464576,-1,364998929,40248725,505103424,-1,609939836,-1,632917901,-1,826989211,-1,541634276,91917037,23723290,-1,531373045,910308034,-1,133395121,293246969,-1,84596423,398436918,83944640,657227481,-1,142230333,687776813,994548126,321214755,-1,977114717,73990209,-1,-1,-1,838784753,189300583,376865065,764374381,434057251,495253792,925193967,762796516,-1,-1,898471857,873442313,-1,820625734,789527294,671325641,990829575,336899326,-1,-1,718734254,906462697,449936852,993008108,-1,-1,-1,36879025,666695696,-1,937850892,237684298,71679760,-1,448135475,-1,-1,-1,698878646,175413490,214992559,182513088,450538223,531037010,520235675,-1,-1,925740034,67490657,983099887,436560825,-1,260796742,165739385,262262598,49537328,235926924,756330069,639135433,348507451,521450122,301776854,965804564,520474470,605919164,-1,934939567,48666493,912434870,760636136,156986077,938893800,797476806,-1,219241473,73338095,-1,424654942,-1,815518317,-1,129952140,-1,388896654,958927767,320394411,-1,629202648,-1,898995435,-1,921434805,592085295,774226685,647349682,-1,82225876,440895477,374583094,-1,-1,381149671,750357607,713961233,631040066,102396333,228518063,867808855,280597334,-1,-1,226465363,985515420,-1,467359798,893349382,199006445,-1,846439851,-1,885253625,282697740,150507069,445680709,852958358,71347724,860561032,545958337,33203200,-1,620875084,201991001,-1,424545931,22369028,960390528,-1,746339279,215772947,730867524,968731337,253631476,531777958,995358403,912074904,587443583,-1,533985414,384317810,381286300,368198117,243865256,187805617,-1,447985026,699102850,-1,278926203,850379120,942485985,274370316,720895244,397309650,-1,200534312,-1,67718861,-1,590219032,863887931,-1,189546691,49056953,901741421,860977151,-1,842021082,1617953,-1,-1,-1,534743670,570493256,653131787,422890524,-1,935564268,987033934,791602738,790769720,-1,222341878,543411897,-1,47989174,-1,-1,-1,767332077,-1,-1,979239716,838156347,835652876,522916295,-1,537909728,331291201,391550351,-1,709328796,514166927,715710889,474932527,-1,272726749,-1,178693649,287438017,485402421,815071527,617217963,158098934,-1,583664089,946847407,12747050,932888560,-1,623686417,692603874,-1,68809765,586960075,920789290,-1,33614870,-1,-1,493336277,800800723,-1,766052474,-1,-1,-1,31400040,-1,200636547,233098664,686643671,-1,-1,-1,689467286,-1,-1,159187411,18414582,656919216,945272708,-1,396143421,79334538,-1,-1,501315126,-1,98402453,241646647,-1,253927301,-1,506678869,873910704,-1,-1,984245805,236508806,454123727,14052974,179802467,515218388,420590319,-1,540111282,-1,574856866,909860933,-1,938767171,-1,112331789,-1,184856548,-1,276059850,-1,543919635,87935908,508527455,20711327,166150986,757558616,437644280,609878321,752649707,817831377,-1,59647314,885607176,914394022,221773677,969059530,853932176,760003259,844350741,807414364,-1,391816684,695338971,742116367,-1,78964587,-1,-1,21067046,386541023,605814250,921850269,-1,621414604,-1,722083799,458584033,283522630,862584130,688989599,762787575,731344829,45845433,-1,611111463,-1,-1,-1,409378026,175624783,419392783,-1,370129654,722564089,72594748,231209339,980022506,832513949,-1,-1,481201618,834907429,-1,87006429,-1,157027001,-1,353180955,398336962,-1,308187412,103788260,485714073,514491966,150611826,410408220,493836189,881244909,598671147,348520784,-1,926748990,143242610,724855706,846205395,610081006,939020368,344596790,-1,435712419,979237741,275923681,313622874,721419157,-1,-1,258335956,691133178,-1,704697147,313926848,-1,615274827,109096698,-1,382353374,-1,864736278,492696842,403356838,-1,-1,-1,400140766,-1,185139735,929820075,-1,401146654,45212659,893743026,-1,129642129,65662323,-1,350093938,435628692,605185539,892223188,-1,207561677,959462778,653900733,935993529,729263242,-1,-1,-1,886228001,493052547,-1,132210513,-1,165247543,421863658,474906483,845305826,41500070,88357968,-1,-1,492096867,735139146,-1,-1,-1,-1,355813255,373872106,243349487,806874602,-1,-1,138631791,-1,805521907,526418847,481831977,-1,942982933,-1,-1,664648747,505993528,311322166,761928417,266298279,503586890,542254349,783847366,174132952,-1,488592965,-1,-1,-1,631639714,386385653,103728881,634748761,483714659,343978068,77742125,-1,-1,-1,806345283,524718609,217714666,537125940,392545014,55940204,897377313,-1,197395255,720399560,566881132,-1,404309822,-1,442380316,522014059,997930947,189596720,-1,-1,97578558,500872428,-1,-1,481750683,676543540,445709818,595717209,818277253,675623080,603478347,809375788,393999575,527948597,403545096,113759764,114142726,-1,522315643,526821573,507741797,279677287,30470310,449857343,931237366,850237714,-1,505528913,340733185,-1,264419432,475944119,767332436,837613187,698640355,15729915,699846304,-1,444505226,-1,-1,-1,397384436,6377381,919544671,84974433,671388752,-1,297876547,793683989,-1,566532647,356903904,124853857,-1,675491683,62086528,218543245,274981731,-1,598467827,528453272,-1,895509305,916016806,-1,-1,-1,55172407,99167918,4783693,-1,112311295,-1,761017035,-1,-1,317983342,-1,88050923,-1,781723023,110184877,-1,360859378,546811164,723242864,-1,69647193,-1,311406887,505813765,942687132,-1,269720682,-1,962889187,16228426,433148425,-1,423968272,-1,611936338,71007711,-1,881574901,610528759,454828827,261599424,173818656,115034987,368535398,866583733,-1,-1,559912820,862440791,520157786,532865277,618089307,926104876,-1,612334249,998238354,24738983,574221293,-1,195937395,-1,962176362,605898815,194422713,-1,156204176,170960267,-1,741678459,18524138,856606044,886284546,439594289,360194098,654436880,345575391,-1,-1,347835401,755792995,215739988,940845598,-1,-1,822692746,-1,598321298,844494041,7327661,513342073,169875862,-1,724775118,989461914,842522699,992881002,284085599,675103180,415457582,833880499,566015517,226654786,-1,474588142,233300916,-1,295629031,983149376,185739465,511920280,426860192,501498692,677214252,-1,434591121,757808269,947278733,928445402,-1,-1,568241395,807583359,722445353,853435805,831769733,-1,710413415,-1,358199153,895804594,-1,35402427,-1,-1,84538343,684943494,181656674,318154384,338393117,311906712,207033841,600852962,452304927,463010882,-1,615826966,-1,840236232,-1,444083795,472335492,-1,858067367,-1,-1,-1,-1,-1,120911111,504462408,-1,764620354,-1,926936292,94532583,492984066,116287385,996713602,669037147,994069770,588950549,653605479,478476713,-1,194381119,-1,216894968,-1,-1,-1,181656939,299694032,578236390,506194479,161401394,-1,768332453,-1,-1,686776499,192749535,-1,265622784,-1,605641005,907102497,42656508,302689968,340651621,57951349,190658627,-1,322441213,686406465,615626266,268807001,544457231,-1,787085936,30461462,-1,126567292,373022901,838245983,-1,740534430,700745979,-1,-1,388752450,-1,561968860,843250501,903488725,882838787,-1,578753690,787486588,535213100,546546054,798101408,-1,983954554,-1,-1,-1,914724609,-1,761007997,-1,211147105,498907339,-1,245250226,303151940,518589296,-1,787289506,-1,480533759,-1,534421598,-1,335816974,655890583,832588118,-1,877640590,420589117,-1,-1,-1,61229984,734911512,86017455,261452554,487358392,571153212,740028840,-1,558289500,155539692,725767022,-1,811158582,-1,611919513,767869564,-1,334125382,-1,526149703,63782224,-1,429786504,-1,57534503,573136730,-1,378441247,328574349,725394622,417606353,-1,-1,872198363,630550364,-1,692320928,-1,-1,75657252,629807342,623846043,904489499,590843706,-1,-1,478458394,397803321,-1,332549918,-1,-1,156880952,851055599,692798307,511563733,377489965,-1,334498437,932568846,-1,367578025,-1,163198425,685032011,49469563,-1,-1,791634218,38536813,74435781,-1,767562198,216580418,462847983,725072640,540126544,156432353,208893228,596746302,214821238,839892620,887970973,-1,939244915,633746830,-1,600856433,373400284,583500901,512921385,-1,708579085,-1,895067826,-1,710699346,385126675,570974295,940175901,-1,-1,425778580,108724381,-1,-1,-1,-1,253047774,-1,-1,385291589,-1,855015791,25803701,325266100,-1,-1,-1,962161785,511499133,-1,158452950,599468468,308002491,-1,-1,19965841,74443067,212044453,311959467,421481201,660884106,-1,60956902,771089797,218104914,721398819,285394946,320244865,923063519,66518875,-1,981014984,646604389,606829907,644083062,97038787,753544209,-1,-1,937136343,-1,-1,-1,836862808,51295136,445889484,-1,166731421,367902749,309278280,668866194,348818015,828172309,-1,918158981,858837074,-1,136768609,812973085,542557671,615337062,644851501,-1,-1,-1,-1,271496905,-1,898156986,684174249,903622659,-1,-1,823786036,-1,-1,593014708,562012344,320289385,-1,-1,977289231,935714305,812515391,297096641,-1,756989456,305406956,527857132,-1,795583371,-1,-1,970119262,14882320,-1,-1,905397396,662958140,397966377,-1,304968738,391580916,154384810,791232742,-1,428562676,250632726,848783028,585930138,288431832,565770371,-1,450939636,45121203,355023299,693113658,270964808,-1,-1,343939986,952268591,821081115,825061655,-1,-1,-1,-1,780241367,-1,364382443,629234166,563796931,-1,492064171,-1,117850532,257061505,924635759,248049718,-1,-1,7389480,537084372,649886674,-1,-1,-1,230097940,-1,599925875,-1,-1,831945961,132842491,733521841,-1,702677436,477268026,54084495,642682571,605324270,-1,905514117,-1,-1,893761935,619795745,112163064,494711963,189801457,390740477,-1,-1,962933253,144742356,564502793,-1,41814209,-1,3482073,-1,332958647,88886871,-1,649220063,332591013,-1,958260658,287076899,916800227,709175980,9874897,645444599,-1,867142581,712927169,13497202,259360193,971560846,830435292,258192937,-1,652579403,967532247,577093005,204549618,301156729,-1,-1,15394080,-1,15631934,-1,126236337,-1,802712337,-1,-1,84365019,-1,784606079,336489760,428151998,309878869,540133997,319680548,-1,21295925,439334130,-1,-1,684567875,-1,-1,375574605,211341299,396224903,324110801,555276699,841206065,-1,-1,-1,161658884,348436086,-1,515563123,506940316,-1,723609952,906552511,177993422,18971636,-1,-1,852694568,633757886,444963905,417744208,-1,304275905,-1,-1,-1,-1,304876393,286264012,-1,-1,618033745,753359678,358821706,826223022,227539870,767542276,185560498,-1,704944101,162069554,715140653,505224301,-1,555828270,-1,539343472,713534979,-1,112864007,921986501,-1,243388349,471589253,728201413,711829751,923860150,73165908,131470375,-1,182301812,-1,-1,-1,739219377,156862890,500718068,169100648,-1,755211572,869656977,555329948,622015828,947722661,-1,885283172,-1,-1,768300586,338814053,-1,115504397,172265045,-1,398395297,332331183,70054143,-1,-1,-1,345928271,474480619,226573853,-1,-1,951372548,416475251,915513743,-1,890640390,-1,-1,-1,-1,-1,294660899,452520228,-1,-1,337005705,199622721,190344826,-1,480984894,-1,385924725,980723916,209188728,278043099,316469276,292816534,-1,648575992,674448374,356097492,44823042,418008595,427122636,521419507,-1,-1,103437710,692723299,-1,-1,-1,734642192,318630466,-1,837492619,-1,80087889,634441255,938964729,834270573,909606959,214166288,-1,93784772,-1,814638157,116344004,974627695,821812900,-1,753428792,289132575,24721505,949632021,112134540,-1,499992458,374276542,706047062,-1,2678595,99707190,15657426,-1,-1,37730795,-1,978021751,-1,112859672,248250878,709342867,-1,373952442,403153744,-1,-1,932148584,-1,637783141,999164572,932304036,-1,-1,-1,16281187,263691601,190310615,908288099,548707221,166377785,687922829,49604603,84416866,211992825,483067028,-1,484138808,346174499,-1,432751455,-1,943422915,-1,919971673,241594337,106749539,30079469,793276958,596648870,858456071,535177850,746166631,-1,87514983,-1,-1,350180195,-1,697776664,54457404,762952295,-1,261870770,511048691,927966480,797601573,711078608,-1,704864230,-1,439595756,-1,357109013,-1,-1,961087644,674394807,743520948,-1,223690285,916103474,988353448,-1,712668250,239328219,658283486,-1,4807063,-1,167669252,344180791,370622549,-1,-1,-1,-1,960001600,654650163,-1,645507927,257220364,887293842,531998843,798292404,965850131,-1,-1,647727004,-1,-1,942064354,379210422,552167266,447020399,729781759,844648976,-1,632346321,153063366,-1,-1,-1,453387062,174659776,163519278,647974584,157230982,925814241,496424744,975539835,-1,586260306,252746597,983071044,754971904,917770135,-1,656770202,561283770,243693402,115866793,568127507,385807589,-1,-1,819113910,-1,-1,875366286,-1,983050699,-1,482006877,-1,348771453,551154497,-1,602474110,946255872,979213452,-1,-1,-1,222373483,274354413,435638450,761309918,631948075,243254320,235753355,802758139,-1,245072160,537582720,182005435,758454890,-1,-1,958603051,-1,-1,423165648,305096939,109464,42272686,378541633,-1,713011188,-1,835266091,759435462,279006213,722226847,972393480,230978828,597195923,931180478,298040138,848778665,868503773,444767576,-1,336875495,-1,232801753,208206515,439046635,113890827,246091274,859255639,-1,464464351,881554534,807445837,7053266,936007698,224464963,496240695,811108841,714392279,-1,281199448,298740289,-1,794521161,240040912,2785721,799301085,819800717,748543398,-1,826225143,881221444,-1,719747631,421798308,806981638,-1,-1,921608190,637303645,652683531,748972845,246470723,559988072,816789667,907221179,-1,779625543,747130278,286859167,561511432,677594253,62717604,162357866,-1,164846323,-1,167337854,22041815,474484890,717653735,-1,-1,426594521,562596924,383457807,-1,-1,196094627,408440773,127286459,106830885,-1,-1,-1,931902162,915263933,586542688,-1,673367555,-1,932125166,626774755,-1,-1,439683892,854522941,622447320,141773047,714773658,709498690,-1,945340548,-1,551727990,-1,746520583,3408366,699588326,168954127,45204087,147529526,-1,-1,162613275,101840522,-1,-1,942649403,220091095,-1,-1,843074346,214094214,-1,-1,269784890,226089517,753061490,323268481,-1,-1,-1,-1,816735649,-1,-1,44828643,347070028,997521353,358963524,171728262,-1,275393931,481312414,-1,631667245,323107194,-1,625307473,48893152,111399976,693947506,657331078,-1,530963683,527559967,-1,787728835,-1,-1,799361065,-1,987875872,-1,678529678,-1,30884397,327703776,-1,588098814,352169314,502884232,477146755,-1,-1,277838123,670527357,53686733,897833826,433222596,314338866,982391899,313037783,496159976,866540822,591156457,278967940,194906023,-1,926086514,176731393,317264014,121094381,-1,503225849,408765295,262721500,699768149,9915891,488252614,294714346,-1,-1,395704895,359145712,-1,822846864,146809244,128791667,325085300,254473390,686751742,-1,866573114,830076250,667384716,-1,520381475,-1,604410460,449967293,346798486,739412278,48348446,706967034,515187798,310081040,587150109,108243380,600834113,611101813,165298820,630456607,867970317,888500529,180578807,432213949,767405680,946042857,-1,245165055,881496038,-1,832707985,-1,193129619,771270357,309176089,-1,30937590,620371694,185716856,309514325,-1,506241901,707184244,759250872,317771078,967386792,-1,350300732,211194257,-1,883372504,-1,-1,-1,393287436,341144467,-1,-1,951994511,575180594,-1,840959327,734927407,3925045,-1,-1,447015369,719721659,-1,-1,550325320,768434194,14171389,505339386,37675434,392936434,-1,-1,879799370,798237607,4869543,-1,-1,592977913,52079057,577651681,418712588,-1,678174401,877694718,667995294,-1,131072205,742668026,-1,-1,381195721,-1,306084335,927879283,6018131,409781494,642746344,329031254,-1,317561146,-1,-1,-1,93445036,493418708,797774029,424660242,88675037,-1,457809408,220971346,595174765,208061250,127150682,802109290,356407546,399478465,-1,282148029,-1,301681185,416601418,526156105,-1,752894566,-1,999364505,677376676,64462862,112582681,378823723,872081149,660329696,256234303,402701388,-1,-1,655121694,612628987,635244836,316092620,964090275,-1,-1,572915348,-1,-1,599163420,642887810,710768885,389856178,231748810,56422068,64615383,-1,590253856,408342579,-1,883755264,-1,-1,-1,313735160,152221942,763348122,976217536,-1,241092041,362580072,-1,962387366,119037407,56670165,382352904,470422916,-1,228555290,721447035,979428969,847415091,-1,714007094,936351138,748772484,724214338,206813085,-1,853321410,-1,676008290,-1,-1,532681092,368134922,-1,-1,363119376,227242944,-1,412466740,-1,934111158,196979399,196728684,357126765,703299925,801932131,789486797,69774706,785621906,-1,762017746,161712365,766280530,312946167,549170416,13333361,786879745,829761119,185516148,407195889,-1,823622705,436974376,-1,654357908,-1,-1,937179177,-1,612283949,823480034,126071137,852593377,977614383,167653283,343874031,-1,-1,435466228,442601586,262504894,522742388,858439483,754582700,778460858,-1,-1,558365470,475307472,-1,417862103,679715222,178517022,-1,-1,248728928,383136608,903281627,582873745,820479145,887393541,-1,149551176,240907547,-1,-1,-1,-1,-1,-1,-1,968185681,255246486,888538156,53335140,-1,-1,387949797,437707884,-1,765904271,164608657,913053641,40977940,55311435,-1,53238268,-1,-1,417302974,-1,-1,298382574,-1,-1,515209466,373242079,823232743,-1,999327900,246694356,940464961,322468288,716998593,480540504,192800774,98996669,727832686,-1,-1,-1,256690289,-1,-1,46562551,-1,363143919,632891915,-1,888026553,142721069,-1,391219017,489384239,175612748,154196093,978265342,281683413,936627507,667522068,732942291,527903767,-1,-1,508278248,-1,-1,775079665,158172657,730757010,265634071,884253108,988225956,829495745,450546444,855179122,502814950,-1,628341961,448420528,-1,316607565,-1,712802165,511721998,84017174,483625515,-1,-1,850752078,-1,856047231,-1,285470951,605587288,489633258,-1,783295501,-1,-1,266466083,409249045,-1,929661504,100754749,456838106,-1,842007304,575246413,564356186,521948113,800390165,-1,-1,273481770,913777264,-1,-1,849846095,483607602,979144512,391450837,-1,615854326,272072399,933237110,843166673,-1,816961250,819643183,449219324,-1,170302297,787068965,665015284,879379207,-1,835859942,467412707,-1,75148013,282715462,84631727,-1,642112845,190731193,178592304,550189025,314048949,918205667,-1,963403509,-1,725795573,966810778,997714140,121268709,496014975,828991572,-1,-1,961792415,406398554,787861892,19347378,25121821,810317187,-1,600299411,-1,-1,-1,51419687,655607818,686402962,704974992,-1,-1,-1,487991034,932024050,-1,-1,229463430,808730095,895999703,-1,-1,533164213,767736890,-1,147536417,416721388,801805566,296296292,30519968,884344875,226523532,869134317,-1,72193493,131848489,274403288,-1,688430572,70632364,650382775,95520823,654854578,-1,-1,-1,-1,52723654,737209653,671930639,166023803,558307768,288170300,485662422,295261754,502849344,987980162,593682266,463580936,774050665,-1,3098197,-1,-1,209493041,592613488,-1,267888549,-1,843068733,-1,491859980,-1,-1,-1,-1,-1,-1,623388650,703432704,-1,221638250,606244744,921338411,632049593,-1,-1,183572399,23291110,-1,452508420,490687002,39157426,-1,833249149,714692795,473241133,110874778,551445112,923745269,662604792,126646214,-1,-1,-1,467624827,-1,283352757,47222146,-1,276556616,799446717,-1,630472612,322568711,923453169,-1,812627356,-1,-1,473303651,112433780,106441945,-1,650142976,871402428,981666177,882927877,-1,-1,300812398,-1,837351473,246847253,-1,500363118,-1,11461755,-1,-1,124758821,-1,268446096,-1,-1,-1,656509000,-1,906814325,978555204,-1,-1,76461817,714133394,-1,-1,424076967,71316495,815271254,486454498,624824764,766888418,388429625,337893369,-1,370311326,759508185,-1,902860357,550943324,-1,-1,-1,84669415,260825717,-1,332681451,-1,-1,552106305,-1,-1,734800369,454904617,-1,383503269,-1,364336474,-1,607044735,940700090,-1,170906893,446008971,498327382,-1,261571707,393405399,178041754,35982617,241932337,166367141,137290907,18733498,-1,40489267,895734916,801451049,130645654,-1,666570030,605351744,-1,-1,62287294,9617479,159628416,962268033,718730995,835275370,-1,-1,730188345,-1,345750317,81660700,-1,845845580,-1,199577642,60596273,673599630,-1,412176600,188761844,899262017,-1,339432187,-1,-1,963685901,22907066,847181208,-1,-1,181748133,264341598,-1,-1,591917751,158038277,703646855,442704652,916942369,-1,-1,-1,-1,629730365,658559502,192253195,848412654,60438632,-1,-1,-1,-1,420791154,-1,41224849,671246479,907863689,-1,-1,645455017,835077928,954100562,689591673,-1,-1,188761446,174742502,-1,197399254,739728736,847121270,789528652,124837600,-1,-1,545847501,556043940,112559620,-1,489415736,24431161,893162528,433199833,307171544,768222877,349315112,-1,-1,826056434,850924603,488758387,768844395,237674452,861520153,-1,-1,-1,881591369,-1,-1,656198155,84408378,519505703,748409510,-1,-1,-1,471210423,811798263,852599665,819353546,123049465,-1,779611108,-1,369843098,133746241,-1,385827426,841771585,-1,183119024,946285543,853750002,-1,563486280,609772004,413495454,564268541,426629429,855646395,447947476,-1,489492316,94552626,616661766,228767758,440220104,245861730,-1,778967454,630531402,218882570,492917274,-1,-1,699274269,-1,-1,375288486,-1,369824029,416407137,223891180,518962031,-1,465996388,588979618,-1,834033980,481150071,-1,-1,335487924,362178015,-1,579272650,950937670,952157060,512540591,965585336,798297311,243258896,347261436,-1,462301734,-1,258066193,774554096,-1,823355138,-1,-1,717382669,891409647,662209012,-1,942097430,46380380,-1,912542146,909182255,-1,-1,672261687,851394900,289107309,-1,350901715,909972777,-1,697758568,152085326,-1,-1,577305064,-1,-1,215434934,427849237,551705182,150530016,756296558,656206179,419336403,160860824,460568293,746396166,542920463,934221348,752205870,-1,244906337,660921646,-1,-1,873344290,559309327,469856227,291127842,879463805,432534890,946874291,99135303,700869518,-1,516394924,837882268,399048708,644409088,616399487,529585491,317843119,515948699,-1,644186382,447588630,36656207,25391758,237511666,322224016,606729758,202590248,905840537,537153281,919931136,-1,-1,-1,463177069,252612927,343362829,666361099,-1,287959048,639389512,438112684,-1,552733105,-1,-1,367778203,145996919,600198114,491096860,511471348,237855215,-1,112743869,741978929,-1,345366861,-1,-1,241152980,304459576,969113932,-1,624938174,350292069,-1,269951850,-1,753212078,345936917,-1,-1,767428910,249133251,516934542,630620823,-1,-1,924794443,-1,-1,413451834,-1,351579041,86498496,475681932,-1,387368875,756720862,-1,-1,53146142,400342428,349444071,-1,-1,331878100,978107778,687069171,995400077,655767412,983569674,683277870,957017078,416752318,322699623,-1,-1,583491553,207346440,848542886,180634327,431143469,542463754,809106009,318093597,784795466,824346443,300830165,345238466,485998103,812687451,347840713,692257058,-1,-1,437437541,993427450,-1,538934923,889338893,111543589,970436994,631643824,814632162,-1,-1,-1,-1,-1,-1,-1,426641298,447322887,283616595,440433792,621285839,980146873,893240414,453809319,484322613,493978692,-1,618520617,-1,-1,312191868,603282923,414788528,683324026,830007072,292130958,231033989,104177034,279250302,-1,51238488,93646816,-1,608179476,173907012,-1,888150134,627756978,919651996,-1,-1,251516178,563489957,-1,901887312,-1,312562082,637656208,-1,39913281,-1,826644993,-1,19318270,151575934,356334675,803530996,802545494,-1,458024287,251700598,50045123,663724150,205220591,-1,540635895,-1,905684325,331521569,622684640,-1,471228194,244435088,279482470,616252083,731464180,-1,-1,-1,830569972,-1,85579063,872543501,-1,63347860,134073449,757926225,753961440,909326126,14387109,835581388,976407043,687523433,-1,-1,-1,733852239,752444392,-1,649718377,-1,-1,477274619,776643694,-1,556137402,-1,12818572,915761347,750969442,241599807,454157138,762339719,-1,550526938,664098137,40430929,765384958,260896983,40177286,946644916,-1,312511374,94023687,-1,606216014,985963815,-1,569192332,139450697,843669544,623662101,394820303,674527048,121419625,794556118,580389423,-1,487956652,194576075,328843206,282484828,-1,300546887,848690074,867756436,548204304,801638012,-1,698586647,995434591,906686491,832506063,848561504,455766755,-1,-1,965926238,590597125,-1,496423117,828510503,-1,-1,-1,-1,628823785,446604754,925848919,378796133,374438702,343585894,-1,862086516,102807408,975550837,-1,815015080,601004821,908746283,-1,-1,587658414,-1,438644999,864617444,743820149,-1,146733595,-1,809564890,-1,795466953,-1,-1,600880010,139872617,988467956,-1,-1,139855069,160188027,473816098,139236089,123149894,317757429,-1,586880970,-1,989571869,341360174,82152295,316587049,-1,544157900,-1,458474515,402254114,-1,795371184,103657376,-1,628949650,345512941,-1,951516070,793913927,-1,360796003,920753479,260565282,427806472,521969385,20290005,270079877,243841555,966821709,781911391,-1,359345682,264916680,97883149,539441308,-1,-1,-1,477475932,33190620,-1,999223822,-1,-1,144333047,32073002,517017687,538804266,518747764,399406908,38148536,-1,-1,-1,299117772,-1,464037690,442217471,239203759,593286650,895849321,813554504,-1,143164634,871755699,-1,846352651,-1,-1,864478580,-1,261583978,843662537,-1,208877829,554538019,779929219,507886644,556038014,339975873,965315398,-1,-1,-1,538789747,799613369,-1,673568799,349047562,391044391,233995885,-1,157378084,203583292,977275883,277611612,-1,524346359,996799567,-1,576223179,-1,-1,428797856,99686900,316710014,20115725,553400860,-1,726102152,399869155,771028705,-1,703650744,43876521,282789630,444529246,361938716,540968978,792636478,-1,-1,945135199,449933432,903219500,821152681,673926794,446603377,-1,631201840,219548058,-1,830561751,961271434,733569608,79882884,-1,23134466,-1,-1,-1,280844614,-1,109516317,793226077,706346204,41199894,-1,-1,502192298,-1,-1,333695775,796640796,302996583,102432693,780740854,-1,-1,819256554,648103331,-1,122554013,172165066,-1,-1,153263798,-1,855628091,696914014,243820724,726400960,-1,-1,236650960,977931696,-1,-1,995201316,-1,-1,704240353,-1,734992105,473142194,297225237,444646025,892295529,-1,208830540,-1,621883479,981464279,302881784,285472594,212430608,-1,256901287,-1,829024572,-1,920109828,638977099,497417475,428718419,757452289,-1,755132848,-1,803826873,41358584,119440131,-1,754043942,754449865,-1,329147596,992564690,618632254,-1,-1,316433443,857402073,751495386,366937725,885243751,703956359,-1,320634524,-1,209947790,258212791,736100206,159494001,64848241,-1,77755745,-1,-1,572287038,571575436,463238489,869166484,-1,116440756,147472476,439992038,-1,27164600,-1,484446623,529726002,707445564,-1,857661143,-1,332973653,359753532,774433066,-1,630505306,666948910,595377441,283619950,349978502,148750032,895582106,404275818,811652891,-1,876136776,837525372,920013416,114930347,-1,623195570,538165214,-1,-1,682286032,635675093,165084268,733812839,-1,-1,-1,944001075,-1,399709231,627981638,878973467,429755451,780410489,798968963,-1,431294805,328175695,946175276,106217208,246306,-1,985083018,902292327,-1,-1,-1,223436841,852522473,-1,408995123,837084313,-1,194933876,659013943,877148857,236417014,-1,487990029,113473317,-1,301144050,-1,306539199,-1,-1,102224352,147753214,327876730,204350648,420676569,749805840,384220865,661570766,-1,692833801,-1,-1,910448048,563984455,-1,-1,718028407,-1,-1,-1,120994065,-1,-1,573865217,717458660,709620833,856649051,-1,-1,712971446,564073096,990634359,397989984,40283186,-1,341836667,-1,338391090,110663437,207137005,-1,703535660,78176444,-1,381864441,938255819,467033709,166623393,794064955,636280092,923557476,-1,886099019,449173192,48367933,594299384,-1,-1,122722703,-1,498077422,438989167,717109573,-1,937654721,-1,-1,670265173,68653912,-1,56309167,958788444,837220463,-1,-1,113178252,569408307,945485832,132048865,694806942,-1,562934099,-1,637545835,375072150,821976143,167996806,-1,510515000,316649390,-1,-1,5959665,579462613,-1,210917204,305762788,-1,947833983,-1,54403441,564616239,875428500,741743017,-1,-1,138475540,822600368,501555361,475329347,64904548,468580552,950965726,728533508,470572453,300057486,-1,-1,6823763,307399393,794028214,303672297,414160420,-1,542109714,-1,833797319,125521839,336990526,-1,709732905,774315655,18911795,59061603,787417414,-1,-1,907939112,40685909,207409723,-1,304431770,-1,299257092,953798033,607593885,443064709,648794978,-1,393467010,773862856,325963095,83057313,-1,944478490,601802536,505538559,986965145,521864862,-1,257068082,448725577,333850426,765504113,-1,531502537,175106578,745911858,213773200,72619826,750700131,-1,-1,-1,997804270,27052523,351019384,951588275,-1,-1,227695077,-1,438415179,59721330,671143168,127381322,-1,6608690,113008634,-1,839905889,-1,764392727,355006321,529739080,672487216,507053247,137879463,646307390,744254936,-1,-1,836541665,407955172,142911880,-1,335817583,-1,49413120,496695532,811486241,-1,925410254,932512525,458660686,549502368,445777183,910944771,444703146,409501636,-1,284336130,522617897,585652563,812551497,353562579,50053074,-1,244722397,832648398,817764935,149975080,-1,-1,56631758,452146050,-1,418574548,964928719,-1,686229463,-1,745625089,573465150,958115975,662075577,605914693,369951908,638797249,273750884,-1,363495822,912729879,329131566,155021494,-1,-1,-1,-1,-1,959122219,-1,861935282,249526534,-1,792484527,-1,-1,-1,-1,701243475,480013178,160609880,698510677,-1,-1,34542408,546331319,-1,-1,-1,93491670,321454767,815609539,891329422,942208176,-1,278657999,711399680,58320898,838024321,753842929,193076178,-1,-1,552638865,-1,676251800,-1,613387414,952202601,889725625,-1,293025343,466479229,789481362,498920865,34319438,-1,536415192,-1,787624833,-1,348706960,-1,779555232,-1,-1,541610429,486989940,-1,376229430,731511027,450650540,776319272,814419801,827270292,-1,-1,186794638,130529203,-1,331404793,198961865,874945007,218103264,157740599,833289548,884359651,647077140,879567146,643518140,-1,391091496,588272920,637703486,413728910,877728502,895679855,821482053,-1,-1,-1,147800425,-1,120121009,787527783,226617961,673566417,-1,962402979,-1,679390936,62502150,399431052,529953596,70858021,881102831,296706129,141100518,759557423,715485010,913484841,852241565,623034647,-1,-1,-1,-1,711684263,-1,17679269,150027609,-1,-1,873857031,-1,-1,442519303,217613752,-1,421244728,462300133,479403276,167627815,-1,12189401,977105865,59705843,583654428,-1,367477876,-1,-1,-1,206236205,589172960,834404997,-1,875555014,151023726,57894687,469260910,-1,997651978,-1,980067251,412135974,809183390,820908513,-1,496489207,882074116,381600747,385806253,792441499,810889617,-1,-1,596858510,998945202,284408290,-1,923676589,-1,899365202,201509140,296248683,865883714,343960528,544083505,472780634,400250760,969540385,990682447,-1,254865300,-1,162252191,993573268,13411910,574294875,338281860,766595529,857992515,905167227,-1,612404569,-1,501846352,-1,-1,-1,884779237,585607828,48263539,469481313,-1,-1,141210473,-1,910806531,15259554,66941769,347059434,169052774,-1,899377315,952298170,182053107,-1,-1,-1,852521059,854999513,322131968,840147697,-1,548174924,572059718,551964925,363829597,-1,617362935,-1,-1,725970171,-1,927495304,976858327,-1,729785784,760266201,533113581,-1,-1,600779481,74974853,782478560,284939303,995835914,-1,-1,210485793,151748642,435158305,-1,330413958,-1,-1,365330819,-1,694336616,188581819,669229518,699221095,-1,313718483,275474209,654555209,99826111,57699615,791776756,656192704,41671527,448028588,-1,-1,-1,408252114,-1,-1,25257195,164317005,58026318,-1,641032423,641953711,60406157,267210231,339628063,280397607,729323254,104015990,562605296,-1,600153418,-1,-1,973797965,494711440,557102746,483574896,724819157,-1,806956931,841720793,-1,564626318,598007937,31538957,194608277,-1,587421950,596091490,74410139,969971789,179549532,709838869,985357430,996691924,837108027,268133849,119337402,321964713,77289448,927011334,-1,55095935,592260914,271624761,812161753,810677469,495188974,404295672,-1,65570760,647637521,-1,539855783,98981438,-1,416715754,130438443,35809293,-1,-1,415969034,-1,-1,188800817,275205525,306581937,-1,716640235,146635938,115219408,542247984,-1,796802227,-1,-1,355805116,223461934,533762232,577751344,34324544,896027823,401339164,434722597,504419334,319619002,212241294,303377257,806115735,814975864,555845263,343678580,-1,13884300,-1,824787491,976070082,847098745,-1,-1,539045364,320856884,919729242,-1,712378571,-1,-1,445396945,132775703,470540349,558381554,132246424,272530490,-1,814271646,923847553,-1,794514908,404300332,25824149,671805464,-1,741697195,393274797,-1,511053274,-1,396790862,706781901,-1,440699438,-1,186683515,139229532,772255207,314611053,847413316,887868413,972208465,-1,-1,-1,-1,-1,767212885,43950078,604373791,-1,702692221,390596530,651699187,-1,399843754,774061818,409096510,568760766,-1,683489805,851416209,-1,329546286,900300280,992076375,-1,924806062,133361643,161105957,710273610,-1,-1,555186147,-1,737129038,285861908,258024738,157613272,-1,776955617,-1,487271295,-1,340277942,63622248,-1,257701302,-1,435171945,494007955,833625219,-1,381299150,6041679,377540657,-1,219000396,578786984,579724057,866057131,223213587,840822700,141017285,638096159,727062252,803278479,138651843,338013212,-1,414610811,736436807,573873941,781140181,490737992,-1,533060736,-1,863319495,95485043,7226393,-1,140271876,115348277,540982035,144478961,201609788,179046844,339657601,494753202,492425178,-1,266783553,-1,51925954,537318394,584909105,944834484,282074468,938028537,472855164,848956401,481231761,483561052,932155647,-1,377832718,-1,767569269,547218636,297726206,922917870,456144717,846868074,687593200,48633008,-1,942411585,792579001,-1,-1,-1,516039366,831774756,537478094,-1,112686619,434987652,101683590,-1,538178108,674836566,588106043,610976558,-1,986828563,-1,555177062,-1,-1,-1,275367086,831368392,459660392,-1,-1,57956756,-1,-1,727958744,508074367,-1,291020074,-1,-1,209296388,-1,-1,-1,637760401,45617847,437281038,687425837,57605826,343270097,-1,-1,962151804,494663442,843563292,-1,-1,208170383,-1,75013042,-1,735417038,940177623,548434291,-1,-1,507790281,766268792,823563117,85644107,-1,196414122,198424438,736493762,107957458,200761384,897771491,-1,671803053,-1,-1,-1,250534881,564677953,-1,875399858,478068594,148910448,-1,20082524,-1,-1,372319635,16489037,449170258,-1,-1,905846439,476275910,-1,-1,647181954,-1,52237688,-1,-1,270353576,424398370,311586290,-1,-1,758961385,179585530,-1,-1,443604172,189444193,-1,-1,983855492,910063598,-1,287712134,423642448,-1,-1,819423094,645835299,9421018,-1,-1,8673199,166374605,462196689,604315373,891778701,-1,354605997,52005724,929429957,-1,666541525,821713239,589517371,-1,668239553,969380824,365082119,-1,702027023,347601320,-1,-1,-1,668510902,330455340,967355621,-1,286728395,505057714,413550942,528523295,349297886,-1,939226446,975220722,301123192,-1,565248824,908393944,99609540,-1,-1,913481298,707413454,807160680,-1,376654297,728887070,832239729,556089673,891166594,361427253,82074386,310468212,770276998,893018681,217057790,761587068,-1,237225667,-1,-1,-1,180220600,680868047,377155143,413256755,893189910,412636068,662958217,212287912,805574853,-1,-1,-1,767947310,-1,955494548,-1,161140093,-1,880706446,-1,290999722,118848347,63697301,580613872,-1,187108187,675750566,-1,935716812,949230906,268941214,532432924,898796406,-1,730298621,70444558,79872711,-1,335889123,318625655,263544623,247456157,682352057,98209354,-1,345573524,580344967,738942400,24086910,133302108,442606383,660861546,91081031,964795567,-1,-1,-1,331171388,870150641,942008675,560813501,486517996,92052220,237359005,-1,960821024,493181803,787414469,447061212,102449887,-1,552283478,932856483,174560098,69876653,-1,404576904,-1,90859429,575692722,240382181,228218049,-1,379115930,441734460,372973758,261588036,458439464,-1,530492,231720015,658824252,319815897,14416185,-1,-1,-1,-1,550398287,-1,580847706,237572568,927833798,191141500,979986118,317060049,-1,291926150,490870945,683826057,280709953,846449256,74476486,627523608,559165341,265347695,-1,-1,898336788,-1,164957019,-1,96067098,445636243,694252208,-1,392316127,-1,-1,-1,886669004,-1,26727468,-1,967844603,924983,9633307,-1,-1,-1,158528806,-1,101719990,207739461,-1,954456881,-1,-1,-1,775396862,-1,-1,198762371,928783905,705418058,-1,-1,-1,791451423,790492512,843866992,-1,301535434,742061054,691028157,730607642,21407992,816073016,318946382,-1,874514371,-1,792158104,30357196,609342728,342515666,-1,514574697,221085491,699944967,-1,100545673,478644767,211620523,-1,453097546,702031476,969151514,894116467,-1,-1,-1,-1,-1,578769048,637823365,713559579,311306790,793769631,82747902,145465586,-1,716203505,818609192,274621909,-1,256512715,662469608,193698045,-1,229484264,-1,-1,582411921,916043099,-1,435848358,140866464,115714647,553735684,958118525,638969844,-1,153161683,662989827,374694501,-1,-1,101074469,178864533,873917273,167733979,-1,67436414,853945238,-1,852612959,-1,-1,844715974,540924831,625774421,-1,-1,546766112,753584194,647290782,-1,-1,-1,-1,45107781,238270809,985992539,431685046,132250473,288552193,-1,15492,-1,-1,623108339,-1,973867669,-1,-1,796579211,103556138,-1,562731202,161013802,891091006,206958955,-1,11787885,918428025,730841238,-1,-1,415747095,-1,-1,427836073,325682475,357562339,68846600,853029493,-1,-1,25171583,651849744,-1,654353014,167463595,-1,798826870,713103150,248800493,-1,490931928,775318177,506827189,566026222,744155962,-1,769533086,233479338,603749313,-1,116038041,-1,957285094,804074272,-1,-1,179150217,-1,666812605,-1,821276624,155808672,-1,379501584,745675874,656889962,694306565,-1,-1,-1,985855332,243954768,-1,633000448,884385952,506658835,786376895,17786177,-1,392694744,-1,437262893,-1,94651004,673194195,-1,-1,-1,-1,513901770,636759265,368970486,170847310,480244653,-1,711006163,743582266,53158613,-1,-1,329310827,827899690,-1,-1,403100618,187215269,947655836,347272255,170334677,935000008,138446834,280135455,849060001,-1,338598264,121832676,-1,456648509,396342746,3820541,-1,657352160,858301374,-1,602229055,332016473,211857210,633271417,-1,-1,-1,829567318,-1,303471740,199796774,346847825,-1,-1,552227594,654702845,-1,451168790,429501731,197538760,404108799,837953362,976074327,-1,886668524,472080598,627794944,489436062,656966415,-1,23903118,540281413,764267797,38606641,942177279,72383441,112678364,-1,245042477,285122548,419047752,805653718,871147871,129913772,726345236,480605894,684563442,-1,795710684,218004419,393281886,162911929,-1,-1,168548611,48390255,321582091,737538053,20882539,766190171,399046754,222957198,649702055,135344177,-1,4159348,881014735,74063202,621518019,608633554,788470700,395641568,-1,850761745,596041062,-1,-1,939870700,984243227,546634837,-1,-1,-1,820794486,93179679,905282640,737116168,70475374,673782072,581977451,904838513,592850373,583977479,894108586,-1,186526976,-1,49893474,47888366,361864881,78642031,792402822,-1,-1,-1,-1,737140021,841845249,810861709,734730817,-1,686530766,479186455,783223970,706533691,-1,998632435,127791497,965676756,300359237,-1,210854666,951385675,-1,235370901,886592881,-1,244630027,-1,678133327,651457894,-1,671882748,-1,-1,241204840,117825981,-1,-1,-1,883364100,762125423,-1,60421091,109260125,208424647,424649487,863278582,176566305,529364060,708640912,-1,-1,-1,-1,-1,434195407,832528275,-1,839865304,92797230,-1,148300080,277300978,48679063,807540620,-1,109268080,-1,593615948,-1,218003968,343604941,338393515,882665647,792858887,752830294,722532678,354228598,404178862,996681297,969561642,75640387,-1,-1,513635244,791378487,623308384,-1,541992193,29729022,984009395,277543897,-1,790219570,-1,404990394,61150138,-1,573035338,966722268,587480784,752657317,573830114,289494473,810831793,-1,-1,34901151,-1,178206194,-1,37803260,419439760,347487800,186480026,765844057,389715313,-1,741987853,104639921,977143366,746719595,482331710,-1,686304397,817934100,67887465,367495666,614926167,293272543,-1,-1,-1,904271248,486591660,815282328,-1,-1,336382013,-1,904613708,951751987,698438111,957250072,605283387,685505685,-1,-1,960126422,-1,303023092,401212071,393051313,864071024,-1,434408279,-1,43053590,218226476,-1,879061131,-1,894935046,227799864,676424545,307311826,665388096,-1,-1,446172347,633230754,433256548,205979511,590518628,-1,99281401,717159646,165748420,-1,-1,39963713,570573695,-1,752124041,809375944,619519723,978202430,961727928,657152955,116925188,997343317,957638548,-1,758764775,533437240,-1,733321828,-1,86572910,921774067,626904972,-1,67054267,595578371,-1,105729272,410945576,282239375,744436088,976856493,197761056,348018922,-1,435880039,612640650,605322059,-1,883162163,-1,863475968,548109436,113309885,-1,-1,667670299,296328047,-1,764876462,718204340,362519936,454877935,892864460,-1,866850687,-1,-1,-1,142274884,309953853,-1,947519160,693846723,-1,137398862,-1,296934906,-1,809185029,514745234,-1,735293325,-1,-1,733126228,887702067,692186487,770511488,470913307,-1,754507996,919094988,72929954,159394441,815900947,551598065,236366455,126325504,885932914,-1,228728149,-1,-1,846784325,700057342,-1,514541948,-1,-1,-1,-1,-1,184728582,180516012,301879718,623554533,315747902,444767174,991611100,356255930,882539803,289886317,-1,252186963,411877378,745572601,-1,961165111,775899996,525094101,133757442,865685546,407657813,493778099,773486001,-1,408227730,212742971,421420512,926772384,-1,-1,367062422,778354028,451221445,609185817,-1,491514991,-1,588205044,-1,932641511,398768535,468179875,-1,56305315,679231935,851674676,-1,919357765,-1,-1,-1,746714398,180522631,437586174,432547454,425609406,943256140,619660912,957495806,-1,-1,-1,778803672,639640666,136990605,85141328,119762027,-1,328796980,240130497,115936234,148659372,-1,174247179,134234617,155318791,306267965,175407510,452867349,-1,360793557,-1,605141255,278957408,-1,434920791,408746799,772770903,-1,420967077,-1,-1,473269996,705113248,831759742,-1,489416984,-1,810617772,-1,207799668,-1,685121265,82927047,965313883,861702073,369010519,856759821,-1,886941984,717964102,-1,418313356,-1,-1,-1,166751558,-1,240751501,818521988,-1,962267438,449704568,477242962,835602099,992629887,-1,367064071,-1,873335370,928209240,-1,-1,321605495,-1,-1,976902462,-1,-1,322236629,-1,554508738,788887143,688853273,528228514,42436143,785133454,-1,-1,865806425,470423542,-1,983581945,212901528,723854471,901808563,588691158,229400091,401716600,761595066,274647404,87507117,516358343,337919097,802089657,342119946,887657580,597233474,889782117,33489928,331089970,-1,714434035,-1,851800746,87056576,437300289,313731084,505397549,-1,604644581,505469088,-1,-1,805030632,903335393,-1,-1,782296615,893453158,-1,651965977,-1,-1,-1,-1,526743715,88738567,-1,269449761,-1,977429687,175343460,787171381,336751241,225688418,562237519,179436279,645168199,301085117,624503795,557576729,200478000,-1,-1,866497571,611706168,-1,46175796,-1,-1,123573362,415977763,139752127,524245497,789985983,-1,-1,-1,917962562,87343132,-1,206246025,-1,982333360,442193729,980690277,976997775,521352515,-1,-1,271487004,658026014,218806524,494926821,48556830,451908934,321056247,694178042,482246793,554808809,495432878,346255841,-1,-1,227071436,-1,796014611,754407696,139377562,6285975,991820966,82661627,-1,318513508,315076422,-1,-1,-1,981394661,307122007,715435907,-1,-1,-1,836868947,263021669,443002040,576938768,949298527,593921151,456483816,902625978,-1,408367615,-1,889884909,996190283,-1,-1,149247344,243821228,454510841,708789396,815163132,846243086,-1,222015715,48706154,804221220,473520289,525534292,37377923,474313499,215939049,-1,-1,157977532,546476438,-1,330936652,356234054,235305400,-1,924589412,769117496,578915196,862060644,222711695,110118341,749772133,-1,168195441,15378578,-1,616744386,91825760,-1,-1,413641032,559452328,976861738,819044744,809829110,323744952,690223544,-1,869437760,-1,396403041,-1,901350815,-1,599013881,-1,247349228,-1,86873232,-1,369524542,297594811,-1,-1,559002999,566491945,106447665,511995890,-1,954840659,510215924,971278207,286011537,563713853,227048491,-1,-1,-1,153591853,-1,415989632,508665374,-1,936535095,485505672,984447739,928426372,248320113,-1,-1,127123066,-1,666693108,-1,605132983,-1,399310770,174598597,200103056,572072945,203856781,297648629,597408716,715347253,665713330,645674790,473911517,503519439,87616069,-1,192776633,-1,-1,981106130,-1,-1,791181880,-1,-1,722946620,-1,-1,-1,-1,144381529,-1,606353037,333969515,-1,880392543,416881353,515581527,158725092,836720612,214596989,176277857,707807316,587421993,707208441,24728135,976719384,-1,522997305,251926664,770426746,80999827,703435083,630245836,-1,-1,129653997,34917496,-1,-1,934121513,514312705,734338680,900915490,73751095,292260219,794759726,989898333,165781210,-1,245223353,-1,491630035,-1,979031415,-1,972577067,-1,759204717,901283764,-1,829653327,751058313,429075191,143502719,599627047,566331236,-1,613466375,137423933,369272134,489334591,607001181,907092177,71969364,172543493,42507931,727222302,-1,562620898,-1,502165859,657721976,-1,91479481,684025567,610484132,-1,59205310,989160479,469495347,-1,-1,-1,-1,-1,-1,801140634,627930805,649625066,68244099,980300927,-1,3643213,987781658,-1,673663264,180508619,261251312,42609522,-1,725990008,41246823,225553776,522161154,-1,900820718,239057995,232619880,713806718,519918384,152486138,-1,882848216,628483944,-1,795209013,390729574,718895810,-1,552258526,23978791,770578779,603039327,110333930,173056729,70721990,521763455,361657201,858587003,513161499,-1,279826014,19481713,753304170,-1,754561650,145082087,901840923,-1,51378841,340636101,-1,-1,-1,-1,825872439,720084344,-1,455859087,356902468,442635299,385359823,486373521,656511104,449756517,855103415,749930943,469864065,981956859,588645177,928771750,-1,762217478,759463904,367744378,775138622,763145512,491462644,775225780,449100209,31537218,403816187,-1,650107728,870487060,34661732,-1,910858390,879642021,206695528,989569272,-1,28862063,-1,-1,476958384,-1,-1,494049326,147293363,148181955,220930892,793782260,396616564,465406675,285651621,-1,781422235,-1,310801272,736500385,96406155,708101547,314909964,-1,648538399,-1,-1,790434502,15914106,209471121,689107106,-1,560155883,428207750,809332743,-1,-1,915119383,711843576,-1,286301658,-1,393003294,-1,101287060,-1,813276243,-1,-1,-1,-1,725751530,772546286,193018570,-1,792049834,327570331,835428986,258458630,666130561,903125128,353266099,815818549,-1,638969920,199955324,318898752,381564175,505814302,735571065,-1,859763156,-1,54814748,-1,781157430,-1,730608763,133174216,-1,591087310,-1,-1,588026405,-1,27744836,186434577,480363724,674981258,-1,672028516,519311358,822521991,-1,-1,750085314,396058031,495048341,-1,533931428,272266147,308560461,108300255,74346621,388937272,548966217,-1,57652188,721385876,145112808,500018044,26666044,162341469,745555176,-1,682531792,558217508,361742165,844133048,377870345,130742254,-1,381218165,-1,26502607,-1,-1,-1,532782887,753914122,-1,-1,914711678,-1,494463584,216409873,328633858,131269315,972577611,94902972,-1,-1,3501445,53727643,354436330,-1,100221149,319369129,206298131,773873544,641540053,800653875,447825285,-1,871438309,-1,553966276,-1,312315234,691367298,569695276,691914001,-1,-1,621246605,523219607,643043182,-1,370524005,141022090,299684839,-1,333758008,138046913,566685337,316885671,-1,-1,-1,636514501,820636138,404307493,-1,847683407,654954070,-1,172462523,822298948,379268348,138067057,218799515,-1,391044506,801252061,810044311,271688174,-1,142234863,-1,532204358,539189401,63667097,626453855,-1,38176932,359805898,307377817,-1,803466150,549250540,-1,-1,-1,342825727,-1,105331097,995392598,59268145,169242738,741077066,259762702,179472822,803983366,318640893,520331941,379731402,630948295,214141218,952908542,-1,689647210,319520556,499290403,883931051,-1,772459353,-1,-1,370224010,-1,916057038,817900808,586054198,20850526,-1,-1,-1,583925895,-1,10176830,846549202,-1,569951786,-1,911694534,182517724,-1,587630948,-1,999574034,92723613,796168945,839612802,-1,857206075,-1,316561554,711460728,-1,47462102,-1,886638677,465599388,519237298,-1,-1,89331489,74911478,-1,892443516,496867920,109651052,192666735,206125284,-1,-1,-1,434447857,579513121,-1,61585924,338281094,-1,383506828,413456855,903085219,562948307,591681364,986043500,591476097,188005025,20172196,544191452,-1,544583980,490471124,467450341,-1,859594240,344256105,-1,625714430,799254978,206486893,642132861,854422440,-1,-1,696807224,149935384,459508849,117290825,986063233,-1,-1,98519028,104793922,-1,-1,-1,720000842,41605708,-1,-1,732573079,485961064,495414424,-1,882663361,371155615,-1,-1,76191665,235319209,-1,312119513,506322868,952718096,747067762,201003698,582831142,100527394,391131017,854008886,800077630,-1,699054535,425218721,343740176,817317032,543502015,-1,-1,747169742,104327516,521394255,880714117,-1,472974325,450639054,313080168,965854390,-1,-1,799990475,578831245,599759389,569963296,433194518,-1,884226523,359171266,731125072,158546039,718853227,-1,504330508,-1,780967397,-1,-1,-1,-1,560310487,424156478,-1,866778717,-1,58375483,238872712,483382494,729081890,-1,387901356,960587856,449838660,481182398,145978289,101837976,760740515,830400729,653878546,301602341,-1,-1,23415668,464888852,791951309,761772416,274110937,352124608,414430652,316986636,218220132,85669977,966876894,677334024,168277271,208785175,440432600,862823522,-1,82407755,573944498,-1,289956473,95507861,-1,244120938,966952585,-1,139080542,422622775,-1,606616668,-1,800988089,890600096,359864340,822322957,-1,409835533,-1,211020712,873123459,78144281,476033783,840871391,99884276,-1,550740127,-1,533787833,-1,368894835,342461998,490714602,-1,454519779,752642497,925809268,775941920,-1,479747277,-1,940925293,502612016,85690246,625914183,-1,654796717,236001958,60853469,-1,-1,839640262,242674291,383360866,-1,-1,589789576,40869868,457695615,459507341,891794223,523910750,-1,447307089,266415087,638684684,589302225,696940088,604718115,670666978,696389258,944678833,591939141,738357663,194098796,223727264,118169159,837788472,-1,522616973,-1,961770442,-1,946860408,-1,-1,-1,-1,641972211,681570541,946138208,120278107,-1,878505679,-1,115740873,196354340,540441244,-1,-1,887275020,212325178,948820463,178185216,-1,786389907,120666266,807000952,-1,956979505,870504663,62987452,890342844,271842796,691318516,23152416,-1,984720199,643378000,-1,451958450,115831767,-1,-1,-1,409530138,403345539,443546967,62290414,659368713,657493820,441925056,492882521,-1,335147196,267191444,-1,164228040,-1,15900138,993842503,989657758,327012772,827524426,271347782,501063024,212272163,934338887,962184220,302275481,814208064,976883740,-1,66087880,656230724,232302422,96421315,-1,997131001,407218284,110796976,-1,208953715,-1,922171274,942261865,-1,252604013,918385050,811390208,-1,834766009,210002347,700246234,584989620,693229814,-1,515686337,626813979,412939999,-1,-1,-1,849959620,987423064,21728763,26125154,876961042,973742232,-1,553736194,909308501,545284248,855912368,18214472,-1,-1,940043302,-1,-1,-1,367591006,579902121,455512353,-1,-1,784911618,-1,715126624,19400937,690486218,442988032,418760236,495300853,-1,233771691,-1,-1,423221676,256731323,219074464,671527196,749399508,738754642,324159903,767347550,203290397,996807143,886683101,206157876,610132108,317561529,-1,-1,568489030,332870714,-1,-1,-1,138708122,779871795,-1,566683594,222578646,-1,-1,228828941,-1,833304503,412086762,-1,464879265,895401016,993197234,-1,987375641,937908008,402163227,911024322,-1,395260630,-1,649958778,539042135,589979453,-1,189865511,350281509,319051320,11508461,912444589,727244852,-1,412776688,-1,766224022,-1,852370279,75793852,422308927,273421073,648432832,-1,308281113,999281181,197939351,53240059,716949855,394128916,-1,136697805,-1,621012454,-1,278777477,557861080,802763734,855586043,412914721,947374930,-1,733804317,114651705,57936559,60684317,19671699,179444953,147711495,-1,910793883,686939527,727157373,-1,433294599,425098868,829851042,-1,48641381,-1,947716656,-1,-1,967016708,-1,935918819,-1,84206157,-1,42378715,953359404,-1,-1,-1,930411216,24730348,363454375,860717422,88594312,204707944,704855017,-1,41935641,657639064,-1,-1,312398395,559007492,68961705,19169283,13312572,796587635,-1,257102852,869799928,-1,788304852,-1,90152276,639739825,-1,326369917,850565778,-1,-1,-1,187519066,224274859,-1,-1,974287577,-1,987246166,870622134,609739023,-1,-1,663538647,220085115,675393210,-1,812668850,817781628,-1,708172763,717014792,-1,16989171,663827285,-1,-1,629828067,-1,886836074,357754883,646656923,738728299,-1,-1,337915060,376545247,-1,726937348,307757182,803727617,53325162,685744416,355563624,354693511,813558597,737434489,714233531,437674793,427323637,151580944,519152669,734838339,-1,-1,-1,732772155,419050186,680037958,934518151,99801493,695113299,300641674,552308795,-1,937690457,918748499,814650278,673872508,-1,799674779,-1,463516188,588259401,957913457,-1,-1,826754513,-1,40909531,-1,-1,-1,282731509,44983730,153970797,874954722,444853704,732746348,-1,176421115,-1,539981874,455934030,335390425,185963179,203685217,441325088,28666359,608771556,17843804,751063155,-1,513320511,-1,792588284,860875065,-1,-1,-1,-1,949332107,-1,-1,-1,399794165,-1,674877850,-1,191938461,98091389,-1,-1,-1,860796078,364494271,553259721,410280650,301654817,547581495,257296020,495977823,759302091,-1,-1,-1,593748099,365864162,289625392,605127757,737418232,539960693,-1,-1,66920681,837047917,392157480,464272364,423794331,-1,-1,-1,187190456,-1,424195390,874111185,676194691,344500724,922480712,965523652,424810353,-1,-1,-1,-1,67239649,543688304,-1,513350034,816305813,636381437,-1,6166404,-1,816994972,465457138,-1,-1,83667622,425527452,527184892,779840781,-1,-1,352016952,140395949,549548213,884656338,422750647,-1,760758096,266168345,487839102,-1,-1,716874743,257558563,63948036,475449469,-1,473409236,-1,-1,-1,-1,210201716,-1,-1,870411097,-1,610278908,-1,665377116,841528749,99990235,244684163,553965727,392299124,586461507,298876915,363008379,975192140,873334251,393237374,-1,-1,311955088,-1,-1,588509832,-1,833014287,679291436,851822982,26774997,-1,745801588,987129903,-1,297401784,-1,-1,-1,771349537,-1,757407269,662086552,897633575,-1,-1,482132015,926320856,641782464,-1,228474897,-1,-1,-1,541913377,882893513,421929750,931609040,707703773,940793290,167561935,996640485,121412484,40705517,-1,557527794,-1,968629866,557471295,759148780,267281390,583610012,440413566,201395741,85610441,653472035,33861051,995045490,-1,624910874,172146951,892483423,-1,801764488,-1,844821810,89979156,602001468,-1,393122025,990506588,-1,-1,749583683,310208313,-1,74786559,485906191,78044998,630927028,-1,835115747,270004604,91609012,741268892,203324569,662073472,-1,915542725,-1,961585803,538953983,-1,-1,498364786,502712024,44713855,230017505,-1,391221662,293194734,69207400,632540798,996653452,24986592,-1,-1,871463061,-1,700764929,7997422,739629526,-1,-1,-1,-1,650746317,294594932,-1,-1,213116621,793957902,171146833,165606047,-1,443727133,780567776,293303759,135749881,798433111,52903648,859905486,339284217,-1,-1,-1,701967906,-1,230493648,460070238,278141414,-1,-1,767130252,-1,418410391,398884723,526215276,-1,-1,-1,-1,253975481,420099159,164842665,-1,-1,275268672,814048664,630692871,526937073,414055482,167062810,440797639,-1,-1,-1,555172709,666808022,455953130,811969021,922977323,189942012,-1,379211455,280157941,721594071,641527424,-1,-1,444102188,-1,-1,792903025,-1,278896212,600973794,883148067,-1,-1,800693109,979426935,390929315,99457588,336211530,460171287,279490686,-1,503446164,-1,697231410,-1,166468899,538632898,101841049,5762898,-1,-1,669596783,730729350,372785083,454484442,570869150,531655206,569636474,-1,-1,659204220,-1,441803711,804100328,943294491,653946834,968029772,45143895,-1,911629038,787378622,428254538,965938096,-1,938970468,-1,323444425,426390703,932382852,205238275,282468499,758901305,210722322,-1,920424325,-1,-1,315584611,389767208,155739096,-1,365119,556287072,-1,-1,890101938,-1,179032549,697199331,-1,391543014,841533276,945359008,88578486,461312051,-1,323062922,966068279,51974254,140634849,-1,826579552,217284761,-1,557116500,-1,514109632,173337968,932542590,-1,447857656,62537128,3138979,784284295,694552258,865334877,328341018,-1,645934116,-1,19018470,383214023,-1,687434665,114850014,422755564,939924930,227002444,-1,296428423,743533410,-1,207743358,990477631,488106666,-1,-1,777074106,83365230,-1,-1,31443927,-1,-1,-1,-1,436334156,733890380,792079691,-1,431374525,-1,271729512,-1,32358220,995262145,753725951,-1,175108931,866489676,3677551,882310182,745010756,680770265,539502727,675601022,-1,42389089,776663980,155483529,594348442,670791095,-1,656047837,302804700,93324102,-1,414406521,-1,453710272,344422167,499245618,4118405,813339185,340887165,813007893,486484589,51679463,-1,620206742,625755411,142240947,356913125,935307134,951407775,-1,-1,318051972,-1,929457321,-1,452708528,224021237,-1,-1,229733804,911561463,-1,-1,-1,92737112,589792856,-1,809987768,423366499,378546554,-1,876619608,-1,735140001,-1,990097349,-1,688109241,349511251,-1,641344926,238268378,-1,-1,523125639,941052707,725971469,-1,18788517,986802351,901367492,-1,66595464,-1,-1,509927789,142621715,400980388,-1,-1,903008759,953026222,-1,411660508,988357899,372317134,77548863,192085804,-1,135319035,895412555,27028072,258598757,878483506,939012510,837529471,239270467,757770791,444233335,428927619,110416289,553017895,-1,984754683,860193527,-1,168133631,844265549,487254725,-1,433860613,157301569,-1,482631519,-1,856236495,-1,777972132,-1,843358087,913238572,543853293,239377648,-1,979169387,-1,-1,261549576,26815461,279881540,718520664,474609899,40532889,243680789,15892701,389155341,-1,705416234,363616631,6664309,-1,349704775,996798578,363362237,492228353,514145532,-1,500833766,-1,802373281,748623089,-1,888556719,-1,-1,-1,533983445,635467549,355485884,470972267,272251495,-1,274062437,117897763,674350527,612347845,236366711,170284128,899744240,313874145,859667488,651552392,155016826,597580497,563512373,951803486,513995846,799642158,837313773,567046536,100229529,996264473,653098713,783243589,494218099,399939608,897345434,-1,-1,642663256,423580359,177686743,320414454,596187618,708522513,750500953,530795441,146534683,-1,698747402,852907677,-1,-1,604432881,495068184,598667108,-1,414086847,795672283,49007193,736482794,666514364,871073880,912203256,-1,289373261,239067404,-1,767334772,-1,-1,587489596,-1,660579840,892274040,239849895,845975104,338514247,133233927,825656877,411222842,-1,-1,-1,892055484,220208174,984700520,307478925,914316280,-1,482109450,-1,890126416,98605596,878199790,-1,310023570,922461728,872268063,411953421,651037935,-1,-1,-1,662298572,-1,462889259,84987346,-1,534997678,811035664,-1,750027869,-1,6689888,267691842,688543992,234438468,-1,790479637,980260459,910855437,29038569,-1,291014475,692612793,446206578,283676467,-1,444628140,544931163,302220968,-1,-1,-1,738748830,-1,-1,-1,739527642,917909729,713226285,252213126,144900788,995769714,152494194,-1,-1,-1,540204355,253543796,853973636,377480923,277267323,-1,-1,251897362,-1,-1,-1,481846215,-1,696959609,693332597,-1,560539330,-1,270604654,-1,307471877,-1,-1,6115823,-1,399942059,106346296,-1,942455039,203789846,540379240,-1,70818048,327168296,989024398,687257373,904327430,450573755,895746535,504301881,34690372,32632247,-1,167493439,-1,41304404,149525993,134263603,136903365,31811083,105403149,-1,680569359,21618506,-1,504755821,29781042,-1,983030955,391129806,689608469,-1,907853797,340164375,944295805,490979455,689726398,528888526,943683137,-1,-1,-1,31138938,-1,309381513,697772326,887272605,893690286,633731223,583766311,147512770,476841009,603651720,147278242,47516815,279895364,-1,-1,-1,-1,967563443,254081707,367616939,192758181,519709663,807107165,493976847,983747294,26353926,399838190,171434870,-1,-1,848450718,461965208,349943345,-1,-1,473119091,-1,-1,111280162,318661369,453166189,-1,259974553,102403382,865083573,545896486,680538868,200098526,-1,547687990,485252675,491732094,600696076,214677231,-1,553250438,28646276,-1,704516459,529957801,15181149,272027889,692908942,-1,412808650,298906980,-1,684294561,15822995,424954953,466277865,544027691,683641897,88885861,-1,897974223,737979733,-1,130344929,36859053,471536840,-1,-1,194934917,999527701,319532796,208049059,797112852,498392292,961633246,-1,729575513,680650577,666630000,341837936,298660464,918153,943801107,-1,-1,484643359,684775163,114324794,-1,105138440,577316744,-1,129208777,715500503,939863344,-1,506693342,-1,216133898,855592716,817525634,653230058,368762877,304623252,607292242,154079642,550640921,-1,-1,668364258,612234897,-1,-1,671021587,-1,436754763,243267615,765189770,773935386,-1,-1,878488686,-1,991977120,677483633,47136662,957347760,812237155,334263182,102334332,566514218,255974666,425666000,51630270,-1,656996401,-1,791625372,641928044,-1,414218718,-1,621577336,-1,83295451,758353033,-1,309604725,212001610,405778860,289071577,477328736,-1,-1,357474036,-1,925086553,-1,171281647,-1,761965585,-1,201114747,-1,957956899,776485366,554965165,286104274,679236795,-1,708341596,646716961,604899083,886708115,-1,114264423,612274403,182442429,351988871,414558844,17003154,50078484,210405463,804454110,805546407,694750641,-1,-1,502985839,597351170,-1,-1,343001939,-1,-1,-1,504064576,434728818,520461644,37935933,282425682,958239249,978379566,43810883,561227256,-1,343629164,-1,-1,-1,332750678,447574142,907066209,195574296,-1,-1,-1,-1,294450355,699071670,194185216,641188620,631797773,277685503,-1,403507689,986818474,69747889,473473526,470959393,360190542,451714103,-1,-1,-1,543961220,755163997,-1,493609659,141689202,108457379,699406512,-1,211354816,615774753,568863917,295612894,-1,-1,-1,715206818,357285672,-1,154529566,927555185,547316708,551677307,-1,174480675,-1,818677528,41751920,6000014,-1,-1,-1,405347993,842738732,500287573,179351751,607704583,-1,956373625,642583470,353430438,162155692,526029182,316863032,-1,467470833,946915411,610744840,774780479,977608087,156155196,650488880,-1,164189631,217854691,-1,997320690,614574895,254780974,-1,309227579,639230895,199213217,-1,-1,-1,-1,697831934,860492092,453650399,358173489,133460684,-1,-1,-1,-1,881826959,-1,820671558,586472387,727531635,194161283,-1,529575910,176642413,312844918,-1,589241921,631983132,463416151,437429546,-1,-1,866125496,681144595,778191354,-1,601492280,93717950,482847868,463519539,318137151,430207842,281246904,-1,478276265,-1,711146004,921844048,349827401,116190909,-1,-1,-1,-1,842629411,549908284,451758675,877826275,570437323,860796807,-1,-1,-1,302470385,-1,-1,887983229,598914430,719792351,660886496,33948385,-1,-1,427524244,45102084,-1,455426211,421114150,-1,-1,443383418,378770385,-1,135978416,245748326,187359849,-1,486022692,318289534,125390809,69857203,25058362,-1,766461906,-1,976223138,4684459,453627255,872071869,126216716,364141080,-1,992037147,141826191,-1,316071733,179847009,810475857,-1,273039111,308910572,231642104,337517041,-1,155125049,-1,600525673,758976691,-1,49782056,590409846,-1,354472458,-1,875366913,64945307,978536178,697655617,120203030,-1,609193867,708853977,-1,303784422,-1,-1,830251448,568811911,-1,284713824,272651706,-1,-1,658253863,-1,927622249,-1,968324186,1403201,-1,362456803,319826904,-1,211352864,559531723,-1,11370018,-1,789316897,-1,668790604,-1,864583689,603421127,-1,145672631,-1,460975976,409330636,805711855,490720300,464206263,-1,466205338,585804494,-1,619429202,592475152,327582975,551196640,-1,243584821,978446527,247516231,393088502,621593460,173447224,43638152,641673381,980425680,-1,-1,673607077,975948261,-1,-1,-1,473805632,116349237,484434771,-1,329765985,88784307,431980626,216043449,739480300,-1,922348909,746206387,587703436,-1,939441231,782790775,-1,686588892,-1,-1,207688476,59169114,134608190,48221131,607429524,-1,-1,278917537,898330940,993446820,315577225,402280734,-1,-1,-1,684285932,478187749,235945150,783340909,826573186,408894692,-1,-1,-1,807161471,-1,42032270,870045110,-1,489048837,-1,970093037,81241536,-1,-1,831574887,332343973,-1,503084744,206572946,186377366,796083674,-1,448923558,520366970,461582949,-1,653899827,19726262,579930304,686055013,37767214,153806321,931041384,15595130,3889706,-1,365061222,897524109,-1,-1,391007194,897825390,535363840,-1,95115988,-1,93831408,-1,616531622,463670345,-1,331166092,-1,246923370,-1,398232455,22482337,316921160,671332159,71125217,816337387,457542486,-1,495886697,177620880,-1,-1,806462891,-1,-1,887562964,332137979,78935512,-1,930995464,539514724,369643239,188770044,256303329,-1,-1,791720240,453392123,375000015,173078021,888020680,863478930,788051406,52001919,413365678,361889051,-1,496816243,-1,327720017,877696620,536704318,555016787,571560647,353102921,667582956,428897556,901899031,53159027,-1,-1,-1,735912378,729845629,408145771,801031894,-1,-1,728859162,954197013,246693192,379790584,980162698,879761112,777311278,959433115,-1,-1,-1,963638459,353363621,739793628,585013791,561525907,-1,845872229,-1,354627321,401858592,874558214,455954397,-1,506973269,-1,881093219,57747246,709545335,850373284,759935972,200555901,181186290,-1,278448190,-1,392752910,-1,27128147,730423526,-1,-1,721130136,166526198,309237882,-1,921651476,576443859,-1,-1,509887142,18453346,533924202,98464334,880537317,963920087,937396264,997242462,-1,657092967,-1,-1,-1,837831240,119774584,895924112,640408725,503285923,457274293,747360084,882391682,-1,-1,7618878,-1,987627845,593989626,172641370,626822934,968264978,823797533,988863123,388768786,678933827,165069258,-1,-1,919774451,811176763,-1,-1,330000358,502201335,194552024,-1,85629327,828502525,99294293,332764433,-1,-1,149892973,528043549,162790537,-1,775664816,763470579,503857253,893675678,-1,148612297,-1,257041729,-1,-1,381395939,864888864,491875039,-1,537280033,426798964,-1,449953228,769093000,-1,674943196,-1,559081162,695867843,212669599,-1,-1,-1,-1,-1,-1,734218728,724519544,-1,-1,175349730,21731392,-1,863197797,325944825,608564296,36480139,146614935,400949691,57023610,-1,-1,83868090,293964108,-1,-1,762764984,690522920,385140912,874989640,-1,-1,-1,991301661,-1,502238895,629645706,155216874,55521714,872724958,930201153,-1,422995424,862405929,-1,439940306,-1,977928331,565115368,557563692,860059892,994847905,-1,-1,361970584,203117573,-1,782619324,-1,60701327,199229772,476307152,284033864,509176290,-1,-1,-1,475090244,780558135,393007617,696716379,-1,-1,543584819,542514013,171746353,-1,262559307,26234127,542861314,743935740,390817425,702034109,175842565,-1,943018639,-1,390352991,-1,-1,399511011,120878007,807859626,190399848,545820105,-1,854664302,621328743,-1,-1,55296706,-1,693057531,506453122,224515409,603016188,711004952,673628402,-1,-1,841062269,589286485,-1,610146296,-1,-1,536391312,-1,490967935,709320640,954527802,-1,671070019,736444090,-1,414136235,-1,283233371,924166548,677947984,-1,-1,-1,378979444,770951009,292274323,50456827,935864905,356105628,1773339,-1,-1,-1,243178765,522297606,678553657,-1,708545631,-1,403346788,321473672,875638021,-1,913875004,-1,489882795,453253374,692522242,360220014,829230471,809093883,929975790,291070927,903404424,988346785,-1,-1,210035113,472117521,223272404,-1,858270291,731950486,-1,631880571,-1,92851925,613379760,931671364,570760713,451182856,257824645,920202134,-1,440392088,495982572,643431524,888149369,11093686,597521692,-1,199359914,499981867,959533568,208342379,279521219,642466725,-1,-1,-1,478878692,684583095,-1,19353139,-1,417925419,981868231,-1,811367801,444406137,475051598,489274749,203089676,567522132,-1,94187804,-1,736211649,736369568,702429328,324063852,877256751,-1,-1,-1,171644621,995198672,950682784,-1,795175754,4102139,-1,667064561,774555512,905495816,542140970,640341230,386019959,161453409,483836109,-1,671716308,-1,277915169,48997209,484267821,259866140,430600886,280476650,-1,759038491,387951539,933604289,-1,73238826,319756986,-1,-1,648095691,930296537,-1,170417353,555239235,243103345,892256288,363836312,-1,227798552,-1,547515465,-1,176407877,-1,-1,556483253,959708793,857963051,770868185,-1,493301830,-1,-1,383306470,-1,-1,-1,-1,81317926,-1,651209990,975170149,-1,215041335,-1,-1,17400268,351722758,939673647,-1,476801074,897977153,669644855,937700692,551726340,164948096,431620005,-1,-1,175277605,-1,987006667,141401623,466260517,859809015,506139031,825777739,1557956,48642975,779708123,18561202,159067071,779464859,927203156,-1,375047440,-1,761428328,657307022,758595164,-1,-1,342825867,-1,-1,669498482,490914928,259588320,-1,889853740,-1,739824640,323096568,654824644,83259751,624375899,574830580,230636412,551885875,487662382,808987716,196856448,892754072,811367706,834892432,751563246,-1,301530656,-1,-1,-1,214996794,-1,958948936,276448608,-1,868664077,406276064,665250512,723118821,674064604,82517973,313373011,-1,613641382,-1,628124677,697078643,-1,847100218,397343506,544572631,600157718,791947071,-1,878644303,103054713,980971590,886525263,170860462,-1,970987528,603287577,-1,462740449,787413752,782481083,260991414,19768323,-1,250278626,-1,469764251,-1,-1,197409310,-1,389618352,745010699,518304111,-1,197928470,410467311,598027419,-1,-1,443895492,201491612,347417694,-1,618439889,-1,411056292,-1,-1,683492900,647558220,-1,-1,174362489,622880855,-1,223712852,896489111,-1,712920340,-1,449176248,184030350,-1,91200513,375725077,879189086,248249122,438048027,-1,222507711,198298770,-1,-1,-1,287096014,-1,551345341,792936184,-1,-1,-1,10780684,-1,111868866,475854193,166861540,-1,-1,465764348,-1,935842463,45117769,-1,829738585,8547485,616439015,360373830,492270205,-1,417080176,397729237,-1,27283611,-1,696078462,-1,-1,909114078,235274061,-1,596465442,302434444,67738706,48069042,-1,-1,-1,-1,745925657,68607840,19603192,899255914,-1,977365743,568528315,-1,544414439,886596797,-1,868459881,376147602,900804330,-1,-1,445658793,17945382,955529302,999994137,767970808,357750595,500089086,-1,423123038,90194620,-1,158686015,821131462,686675580,196464596,-1,-1,-1,25599617,940387115,576924436,-1,393928169,698716378,41364384,1631373,268375815,915863216,-1,-1,-1,-1,-1,386039364,966109269,620106430,617261883,88165514,845477642,-1,545919065,583617409,405831783,567407160,610061002,774837600,700522057,944237732,811294982,372757663,975725434,861964339,429745433,500809547,946452003,75871636,-1,632328592,-1,387464518,52417232,648153242,-1,73647172,681175760,417577290,650312456,62597800,351884271,705396085,-1,-1,555416541,-1,232905285,615751600,881570832,14849566,37634835,860819683,615856879,27527201,2846626,201036160,502115235,770702476,498964314,629531985,297802193,200961330,733562266,911154145,491085589,726818964,280195491,185902019,-1,74293367,230691431,730793859,16145406,105128991,329982570,632949465,108485006,738634166,637986566,314052822,373857721,397686850,309979642,200834663,-1,70002299,102091087,4888821,955593295,-1,122879980,-1,693644846,-1,250569416,489726802,144347174,157443567,299405214,577173110,418749031,187478198,566055983,413712586,-1,-1,-1,-1,956563514,359063165,997948692,119999426,527463590,205850667,-1,-1,-1,-1,-1,979924315,633732784,181408013,281768709,135442050,193292668,311428740,357298700,-1,4311243,505922531,-1,-1,13772446,732773693,997599973,-1,663483247,186384554,319965606,-1,291179313,949098404,523438940,40178022,328544580,731971439,440264586,164340196,133907493,-1,352064785,25751627,-1,372410489,-1,190235752,758024790,-1,-1,830774850,577264565,564138880,435407228,835088695,632932337,870639277,217833879,-1,831157048,606342747,752731677,141135957,201051023,-1,-1,-1,310186234,849166524,809546384,-1,-1,615903124,210276540,-1,144996575,-1,-1,479882883,468592758,59830571,150626749,306865801,6887572,937668408,142496019,53445605,874446544,288143362,453223321,-1,880741979,-1,-1,706758266,475485253,997268727,416676760,227180488,567951232,24259569,171814071,839633192,258303658,-1,477813673,736343780,204010958,22434473,771020754,582689666,-1,136687693,-1,787619526,455336167,15169840,429403837,-1,819625992,-1,-1,988459791,-1,952934443,-1,13657111,106508748,-1,899250483,407750571,509199175,536302454,76924833,165003408,-1,724922664,-1,766955732,27983649,-1,942911331,973056755,337222717,-1,696596085,496996634,954401014,932284182,394120349,397290557,288751861,220755739,300488739,538403107,282474698,714768662,721721326,-1,-1,196198224,978887012,806793566,788380614,508583504,-1,-1,742465470,-1,-1,-1,582490990,415471238,171572251,404411385,-1,-1,489103492,-1,-1,159793761,979975819,-1,352511411,-1,546081915,541617805,918012858,-1,310715904,691879140,614468591,-1,771403333,669254181,-1,683269650,218824368,959072184,-1,-1,-1,312315207,-1,-1,164840507,997465725,531476119,481773795,520782351,495292227,-1,22253240,470698231,-1,806345429,204110092,-1,616726554,558191747,977225784,522264139,-1,750382318,637371054,713590265,36230300,-1,501448427,364690718,-1,135411548,546098206,214124925,-1,118008759,74047000,-1,-1,372165305,-1,821625105,953239302,851971547,366515667,327568212,655966121,-1,-1,128116148,-1,-1,371922869,594219276,298054592,692970053,-1,275501755,776197674,460793803,-1,224191108,-1,-1,288967731,-1,568668919,744939044,698338179,604216559,855152253,-1,-1,-1,547475708,-1,752439065,420468204,331929630,708713627,40941894,895579815,49977022,991016534,-1,202840711,-1,-1,276283322,756649281,463283493,698907062,-1,736899593,837973165,-1,-1,467560493,606842960,565884910,-1,293774405,503792500,816023708,589879586,615147633,352953201,-1,-1,649405061,473172225,-1,441574826,358241250,-1,-1,184525399,927626819,475931613,710033248,947238579,-1,393335113,91602418,-1,793086473,168381247,978746078,54331816,741181364,431364542,106057586,-1,11352538,867212119,-1,169372154,794903968,-1,-1,-1,356555639,996290545,310077615,-1,-1,682030960,178343588,-1,511451057,196213256,412907600,-1,437308880,953009370,-1,886790646,61818595,431007033,537564632,884499535,797177234,514697359,448224818,-1,107498370,739940756,896027723,655894161,97504013,-1,831265645,-1,207201526,937984269,770104288,-1,29857450,855692694,259433780,-1,-1,275627469,-1,47603697,871358360,21947285,254389514,-1,191947545,-1,427104339,296951284,458906007,225168103,614671881,-1,394907823,661591952,5008545,276025653,465294493,828206074,539676152,663064981,-1,937377246,377089121,-1,497781705,-1,300686926,81135546,-1,-1,455057662,193697419,172210307,-1,323379106,875294126,213995169,-1,-1,972430913,226057121,135855568,-1,566474975,-1,734883943,178572078,212879030,-1,616057612,795600747,340485082,-1,921049176,444286236,580011403,-1,-1,-1,894746652,-1,939769905,170765376,907368062,54363410,-1,-1,-1,-1,887548676,761407216,709694330,-1,750577452,354233175,847041709,136220582,961469203,-1,653248061,-1,-1,204335763,73384912,563207296,150141362,768446869,668306830,-1,750118432,306229010,15516090,419485253,677885468,858388820,313668712,-1,-1,692609906,-1,-1,-1,-1,124045897,99757231,-1,-1,-1,-1,802918503,92966756,695497051,957147421,-1,574671857,627106845,852781164,135235897,951111861,46680323,802019574,-1,-1,537078155,920646195,826837170,-1,185650172,794080754,946361084,-1,343339322,499560113,925369760,684160041,97259027,-1,643030345,562041619,284229157,246171912,724504086,331579825,586303936,375965229,809570035,351553317,704733965,251962804,555569737,-1,358590124,385030980,-1,86801790,-1,-1,146683165,-1,482864148,810793061,279017286,-1,773724394,428607248,593882067,327228548,825919530,439211520,467399526,709030788,-1,398315310,214605714,913882617,736126486,301950040,849817353,640612465,-1,469872603,328125876,950928033,438767319,688622303,760573112,130997814,950820798,660629126,-1,982026376,279903275,556681895,612167764,519977580,5761173,-1,176232595,707169112,-1,-1,933873031,257470804,-1,-1,-1,172432967,589485720,771609375,-1,497487441,-1,595380131,464787010,-1,619527723,234664302,1995965,680806498,245294660,220103920,515148505,279987322,380305293,148199271,70548871,-1,-1,747098575,-1,855849247,-1,189986145,442763827,354852509,943812123,-1,127542480,532483932,775952714,181660231,228469236,409297398,828925586,-1,-1,321238985,-1,300457155,906400992,179920281,368322912,976980137,-1,850773284,-1,-1,818569647,875067986,696589703,-1,-1,-1,842571375,482283192,33791832,-1,116035961,868121291,-1,43504086,913062774,-1,53064868,54073486,335262812,395679133,998367843,-1,274892534,412561825,547487984,417894296,244643937,-1,-1,719200422,199099757,-1,678349280,-1,-1,318592789,735311369,-1,-1,132614343,-1,689314305,-1,926267169,-1,811112368,-1,923197238,-1,144806495,-1,419236229,85356910,361629968,62046914,-1,952500575,-1,291268081,792552446,-1,419231880,521260408,718690197,956940920,-1,-1,288357315,-1,-1,651182276,261956055,-1,974586637,498997488,234272448,854924310,-1,410297743,384065539,247767418,-1,136701075,-1,21798189,96855880,965582479,182653299,-1,326723362,669945956,135081398,31822192,404439143,-1,-1,972730055,886948575,-1,665303078,-1,-1,669092733,195128681,206735907,933891993,438919224,581288324,805659816,408167040,792295779,633279872,640470214,630418191,92792891,-1,-1,212524373,493865420,251477335,-1,-1,824992183,292407396,94272565,-1,624124718,-1,-1,542016700,233774087,309231083,663984538,-1,724905782,522191430,845679465,996643734,-1,-1,549058825,-1,561210369,37231692,719430106,-1,227548169,574973141,429643632,864792877,920355859,771976549,287356538,663542562,721230573,258835130,-1,-1,-1,748413208,625687381,225493521,888245215,839314502,573321376,649472579,262070315,-1,594247632,146233376,228630397,-1,553305776,250654855,608264136,-1,-1,46210443,320306761,504049,569962423,-1,576914340,555206510,215192225,-1,-1,-1,416097914,750494830,-1,-1,920680789,517074278,-1,-1,600056299,-1,728569210,-1,215947919,893031737,930396550,573500419,248914207,481473882,164857588,184311562,171227187,-1,28610432,-1,311144027,181031992,179567627,-1,-1,552727921,708538849,300704657,311052944,-1,-1,582683126,323122479,-1,-1,179988172,11601732,144222878,-1,975702290,-1,281499846,-1,653968990,-1,418941688,163460980,-1,766835061,-1,837661511,775113356,41691836,628801748,735482264,-1,340952728,136959439,-1,-1,-1,-1,159802684,658966021,396764231,-1,-1,192617976,89138660,259429295,235787665,192641861,-1,-1,-1,-1,-1,880851052,249201464,-1,329428734,-1,776604175,946038188,129163887,-1,367627823,950822692,-1,-1,-1,531828041,772678863,-1,-1,-1,909208890,-1,679572398,722006606,709269447,737963436,-1,763031530,162947712,544551018,346644641,59143584,272581943,999462951,913306559,-1,-1,758209452,-1,942086312,-1,-1,-1,-1,824269169,-1,-1,106553941,-1,509751749,578919956,261919524,985521824,-1,141948423,907244718,-1,177044170,595729088,-1,-1,89492252,661753130,536350653,-1,963066975,267691587,46249776,-1,-1,493878688,-1,204330053,363331895,939122881,-1,-1,225260595,-1,625411133,893250378,936383253,-1,-1,-1,959352474,565814496,691145380,174280673,624745799,928036172,791760392,211961801,481761805,185541087,966444189,839481832,-1,-1,514001130,-1,665434998,-1,-1,367970632,-1,981994008,883113784,328140244,513722842,916443102,-1,-1,341235848,946791626,24568166,34783082,-1,-1,-1,47709403,599812451,74476002,-1,-1,607186490,469993138,329315314,-1,-1,126248791,-1,-1,-1,67679496,-1,723230329,895020776,823620444,834295194,866941598,440699456,-1,-1,311049598,677368221,-1,-1,647223847,717337221,-1,-1,-1,262854040,-1,657760901,906024795,969106957,255588432,58070974,668226489,-1,385321582,539461920,-1,-1,168410188,639678366,585702037,516353305,-1,-1,98287810,90835415,972622279,84200489,746352907,328991110,941851228,-1,636159687,-1,365637882,207808252,883334473,991288786,477215555,977724602,259767418,908107375,584748002,64319641,859167109,946167847,-1,-1,-1,276565310,33413437,-1,372695945,914054242,514312635,287402777,-1,28960446,328345613,-1,698722121,-1,193705527,416469427,550692975,337193503,172871112,992321269,-1,54797413,977337863,995742163,-1,865671414,-1,-1,545644934,895890239,908953258,-1,576502706,-1,569276904,-1,-1,-1,592192997,169186004,-1,973927032,559089146,417638057,191852541,-1,51912384,622635414,380149358,16364897,514565477,-1,-1,-1,281469284,285900898,882398486,506227917,258661883,563903803,52405489,-1,-1,654653533,261651231,134881875,995481856,-1,874452847,953829153,-1,300816379,44842305,-1,690023523,287090744,861083232,854694763,-1,716821870,958391367,729650580,587738150,458943437,315330715,973821735,-1,913272938,560294000,527548116,986871059,958110302,925454742,506915068,202214856,43063454,-1,789914907,243147514,195768296,129054348,671908247,301197510,735237479,-1,67250330,748091270,978410546,447244498,770745155,303632613,-1,963685335,495061843,715691918,-1,392057865,465017719,-1,172689392,-1,848713267,217321364,-1,366020084,669918769,815206167,239642277,638826641,93824779,584655681,512968757,-1,321609369,-1,696307123,-1,181455730,158988620,201885599,-1,-1,-1,-1,-1,295992519,-1,95096867,485054082,801952624,748945566,-1,690240704,2769256,132418973,943249269,978551221,-1,782785548,423491388,747501759,666216282,-1,242501525,959482601,-1,63922649,-1,696104640,-1,-1,-1,96739769,-1,951133347,145223463,970310202,761753812,469556842,739394503,100524987,204563287,-1,547020742,690928675,143259116,941755474,606778753,607959679,396789461,458207649,706865011,-1,183949674,796591495,-1,98891745,794130180,424179712,608326308,793797059,-1,922879839,61089923,541129549,601109959,536302876,-1,606493183,705213243,557558572,281428480,922243886,-1,415914517,423139085,41313443,198799675,606415074,120233973,751114913,-1,524182899,821248305,961247459,393774049,450040993,236662824,-1,209552576,-1,711454364,345636101,592350399,167413969,365174773,760350938,7757538,805260404,-1,765359158,32768912,-1,990501176,190177905,983698474,-1,899052873,898005154,120544385,402188071,498969902,664283895,-1,413853610,281120242,122570464,477770525,938868327,361848756,189309267,638092965,678181836,452342087,574527098,651093328,-1,130815299,985926716,643342351,610275761,259303619,713902383,-1,-1,983971904,819520964,163726253,187043883,211003545,59498353,-1,188666752,144186730,-1,436117137,757328948,87172028,497845353,181587371,-1,843879616,768538658,120427743,485348447,556151969,371882666,315721634,907463064,648577791,273403680,-1,823657036,826457865,-1,981831269,-1,-1,89485578,644054426,774436626,-1,642680574,821503057,364429175,127677847,589004966,-1,-1,810954534,173574414,-1,981517224,-1,924983247,-1,-1,-1,-1,361111893,855617753,892478371,289726356,-1,990802136,585606657,567949897,-1,845065382,808345989,124827247,454826994,732493312,71343664,-1,752624181,675265776,554646707,156669372,-1,210002236,702636994,679257733,66827834,541439176,-1,419713588,641213345,333506930,681875165,-1,847224596,857255401,604671165,129138258,654445923,25080436,505609659,516141476,161562865,594687909,942426503,589763964,891713999,618183071,605986571,-1,-1,703531846,490690631,-1,94829854,-1,105901586,198021771,-1,-1,293488973,-1,668171993,-1,381240485,475677475,613560880,-1,396602956,823742368,365990641,762829637,260591616,700546963,376989340,732526665,-1,26171685,622113849,467538707,639653176,-1,-1,588816630,578709968,399418585,832813282,132588650,-1,543280047,561454764,-1,943914076,480001343,-1,-1,906156791,223621345,11870374,640879076,-1,-1,741192133,-1,-1,-1,835361084,-1,-1,10628817,69520733,487722375,-1,683819696,-1,371827457,865559631,794444147,83734000,986138151,572337908,945797793,212534459,512879843,-1,234228393,792909698,271499069,584420619,-1,487450703,79152871,-1,-1,80888412,731685600,31271622,374386247,472929857,507716587,-1,408238343,577568367,993398420,-1,231948510,883090254,575534277,705206877,78990170,664014003,839438559,449843792,28130350,108190041,683728160,-1,772583342,-1,-1,962490641,56174246,-1,252437776,821204041,-1,35578926,-1,-1,644104247,-1,897335726,291103755,356327667,362765929,588757868,-1,-1,109678178,-1,999625675,641550877,-1,-1,-1,-1,518297936,-1,-1,294678915,644604373,23867626,514818490,-1,25668999,48352892,604693047,-1,-1,-1,-1,-1,-1,331690254,861835210,231077616,868450901,603094951,-1,335915979,-1,828504770,-1,43503609,725046142,-1,581611496,535298393,704051943,539255771,575162940,734738236,463006561,24118214,96483667,892669564,82015217,2786289,459014276,-1,-1,284377711,378019061,-1,-1,-1,489930559,962397327,99637899,71092059,712679536,332033172,-1,535230294,-1,-1,-1,893527064,404144870,285210983,-1,-1,651413037,-1,-1,535289853,425587107,397380483,48757547,822076849,184860797,-1,-1,693575722,-1,835790147,998565734,-1,258367766,-1,-1,-1,825568662,-1,837309764,335323035,-1,13433953,657549366,426086303,-1,119707515,-1,351693587,627786038,34459272,889669292,253314907,865783408,663795323,897515005,644940496,426462541,309448366,-1,-1,535351277,-1,-1,452097241,110226232,664829726,170981612,-1,793139234,523969510,136880508,387053992,93380734,-1,49578908,-1,235653213,875461381,-1,879155444,628859078,459599987,465975874,-1,894248121,658185565,643657995,42787789,173772394,29822726,634817140,-1,45627525,63148889,624659966,927445041,640880513,224481627,834750076,510810518,743255397,453464405,84369175,-1,248254121,363756744,688233690,-1,485331877,-1,208882524,-1,910164428,870217312,937639620,622084018,-1,344832883,600444266,813567113,101230459,412043627,203012400,-1,-1,958078951,842761595,915935908,418170575,88166417,-1,386277639,148402308,731718040,259519758,990038111,795449154,963826527,373656964,116417060,923369803,408716828,-1,995542595,-1,104809336,57769034,265494322,536696327,-1,-1,801714224,692379887,-1,-1,423360947,-1,-1,974766031,549287678,-1,140506142,454170479,-1,-1,-1,-1,-1,659058688,89536612,646086229,591112663,761698255,728886250,426325953,811371381,229914596,509838165,723641366,-1,-1,-1,-1,349422693,-1,-1,-1,513879400,-1,154433479,360172893,931337715,99877662,609837588,255684903,921557630,-1,454489024,910771050,941513960,938737624,-1,785369817,117059824,133274042,623146657,177211309,-1,-1,899690084,587951215,306017970,593263919,314132493,671576940,-1,57113737,573741493,-1,385308284,-1,-1,-1,173826868,130008584,634297515,-1,-1,668924988,-1,550417067,872844454,539491365,401342070,554914083,333846111,851098647,18958018,811687667,512531766,698595470,453694574,214163991,-1,527302,305503026,-1,895234959,791202193,412699079,103345316,-1,602822407,579515318,-1,-1,120237157,989160966,390098680,261171372,110425818,991716386,800091397,576394477,914052968,-1,44778479,617390478,-1,-1,273084928,836725293,-1,701579327,13581348,295736540,898803214,150574430,432589166,185889630,467117694,-1,-1,-1,901147662,-1,64994721,994223818,23272467,850605033,351678796,722856637,458294006,802662343,317872644,-1,-1,29439704,739077123,-1,162160994,152726375,762959001,155662106,229477147,-1,787919191,16242841,215823272,517212043,131389381,741697088,-1,974190477,812240422,-1,742838118,143166229,-1,-1,130730418,239183905,-1,492060571,130726157,932448642,114696259,439703311,-1,639691552,348083912,946545330,-1,227112552,-1,29508574,-1,559601257,-1,505177147,257307671,414501216,642730417,128909226,-1,974438291,692577593,801757236,-1,666627114,236313857,-1,748919926,441533539,186703022,-1,-1,510339898,645687807,946220067,-1,445052756,-1,-1,87686447,233080918,483913094,74187570,-1,-1,269293170,994252496,126277738,119033905,727907822,-1,517996666,99098430,640269290,252912694,-1,490289384,489238265,397125347,219588435,853678286,-1,623653632,482359872,833509213,461557,49325721,-1,458059279,515795568,881928835,989531689,-1,327048937,873439435,696496621,26979024,451405541,962114797,952434368,710909213,234979679,470173715,-1,-1,-1,519637304,-1,722470267,68975869,113499873,290333541,196098029,755769064,-1,-1,-1,460767585,333647529,-1,-1,323083934,575719115,956061914,859135294,-1,991482423,-1,764111291,-1,-1,409601819,811447441,680052391,367188843,-1,-1,-1,745349077,821539535,731344636,563604708,807505047,-1,923412765,-1,-1,732476316,-1,166415144,-1,640428188,-1,597896159,385293505,172866552,675504075,441815992,-1,-1,909466231,585020182,-1,120229843,691501878,137867488,698707186,965858402,-1,677134200,550793190,328994498,-1,243518625,696625499,756756,722073002,512252348,-1,-1,615117963,810032958,-1,342243924,-1,719814779,-1,-1,568622201,-1,-1,-1,213345032,222495034,216915614,-1,631916269,457176521,351874420,148843651,-1,-1,798349044,-1,387311706,523481421,-1,387324362,-1,324849205,-1,-1,883470466,111591418,-1,891620399,741038979,16784005,833208177,66228518,-1,360060561,-1,-1,987845970,935739766,-1,-1,222012658,995506982,978492593,916323242,592721008,96103545,222395887,825641974,558388229,881878350,989001332,347694613,-1,303641972,785433668,-1,30327063,-1,-1,789543530,-1,46806747,438916298,151232745,230788060,174886225,-1,-1,923018575,71748799,214047906,-1,910427253,271421876,-1,772165188,958214700,81340138,848512201,-1,-1,-1,754915301,490893186,-1,554742030,-1,635805787,-1,146593865,908592402,561295035,-1,-1,194869288,31178601,76935231,600269184,334762924,582461651,-1,674791349,-1,-1,201019530,734045379,491665558,-1,209998405,-1,248840157,844510534,826265784,-1,973893555,-1,524114674,563137228,635653644,968330451,658536126,521097695,785159275,-1,997822555,-1,29960738,16922140,215355868,305908043,954834694,71568676,467884297,319486530,601278885,-1,867120986,-1,960159583,-1,373539181,454526351,261431145,-1,48774924,124634349,950525771,359332883,701628977,981539989,626013596,-1,-1,-1,-1,-1,-1,-1,476308728,263217039,-1,-1,-1,211310269,882027276,170171672,191671945,195479794,-1,-1,-1,376612441,89789430,310581877,276384558,284816125,207937596,71276079,471597980,165027507,26596668,114844434,897986580,-1,355117139,728947077,-1,343750243,-1,551501190,-1,-1,966942706,-1,22579019,9561955,-1,314312692,-1,92817200,-1,640252897,558811359,-1,308707360,107952087,580473010,412191965,72432720,-1,110177496,948334199,-1,691070328,245350338,740409841,-1,-1,-1,643765760,-1,299383685,11622519,-1,488849958,520117679,249850486,892787130,-1,916067003,584338114,197808698,956300487,649505567,600231070,275070112,-1,22311322,-1,-1,481140048,429766563,173028842,815510077,470359511,49130720,612763917,811714287,949339793,657621319,805365837,-1,836980348,442750724,45581482,837338108,-1,-1,886710006,-1,990244031,451522531,128762782,-1,867022446,238147562,667912537,-1,948395186,266340058,717045466,664464927,165681963,897775547,265044298,816878255,342080209,150349213,708188672,162758681,913739533,-1,745557721,227245223,767237773,-1,89676717,-1,-1,-1,721371278,-1,397684779,-1,509171420,21699540,350787782,953256318,930655266,11729474,32087412,490174107,586651918,398525999,640166373,943098270,-1,968408447,961211753,166161225,-1,-1,741071783,-1,214288386,-1,-1,619893173,228714406,598799686,-1,-1,-1,734278632,279489612,-1,-1,-1,621811604,-1,422673068,80248562,774892618,511836454,73151954,-1,345053764,302297869,-1,-1,46313322,214284685,753605648,143566599,104711172,-1,928532208,-1,830493185,-1,-1,-1,562957827,815209478,737513485,472484530,767712548,317311207,-1,161487361,813055662,-1,150644583,252624908,462240887,502061926,39158287,105508521,624418607,943875893,-1,-1,-1,953596861,227499876,703004489,641105639,636565132,267892348,829840375,-1,50422950,-1,-1,351570420,57909846,451160366,198118663,764639121,-1,-1,850561151,443804725,386683284,215076469,-1,645041175,91077436,147828449,913352379,-1,465154613,95926264,115783426,-1,-1,418188703,83913718,759567261,-1,-1,-1,-1,142803152,684567619,304366283,685876670,870259315,263342920,741611495,852310855,272350877,-1,939188894,561754322,880073735,650985580,-1,950543924,-1,512098832,69951356,716972547,805400987,147169995,904999856,462633843,203676558,948830276,-1,318920416,875143868,742453524,918335952,458110550,387601608,637428824,677347574,-1,-1,-1,-1,595246246,833675468,40304923,356393803,873343613,383772662,395884150,829557663,443938736,438635975,31905839,-1,-1,725825587,436813920,-1,-1,212335846,-1,718929554,871750679,995951525,242324498,6056723,-1,543477664,-1,-1,713781434,30659634,691275914,168169128,855453098,773367782,365471361,-1,573824153,-1,137751295,946330392,468561787,525795166,-1,-1,-1,-1,483385098,-1,109754444,27501143,29495830,-1,943113539,-1,127563500,390508578,160859918,-1,705572001,-1,486525015,406625313,611547800,-1,197031190,178462355,153961538,107732340,393493406,536011497,459138397,1277658,-1,-1,830415905,254307154,-1,608917184,682124532,606522873,922694234,551992982,-1,-1,214422884,-1,-1,630293183,-1,371727235,820219465,242339866,843967534,427123807,108825291,632691078,603344279,130829314,441287211,-1,-1,833078410,628984176,928872057,313531778,325670564,137015738,19694604,437848099,201182573,948836870,874064295,551467073,-1,959390032,-1,-1,996287003,42734161,666283561,-1,338326671,-1,770518808,142990989,368642994,641979608,-1,714800603,110242726,-1,-1,645224886,428037128,853804743,683760385,474471375,256672151,765845560,903791883,-1,-1,-1,91830113,713753412,-1,695768751,818685765,-1,602273962,623172081,219128586,-1,987709245,335244723,-1,328549321,-1,-1,317347270,-1,285163698,837086029,-1,419114520,268174309,-1,-1,513200892,339399580,972155120,-1,639600828,115102053,-1,715637548,206888650,-1,297544422,647548783,921615282,-1,-1,-1,924493838,431642349,-1,205760138,615362949,-1,-1,538745938,-1,642494050,891398961,-1,-1,959773602,260621204,355708762,409125306,1790187,979349935,537697740,567803908,573562922,893971689,802113640,-1,-1,642150698,345809924,519328629,261429427,285040251,238971481,320047097,-1,160727757,113794206,264189032,328493883,-1,717969220,251921804,416514059,84586925,185438722,879492562,751765797,862493582,604144348,11453588,-1,-1,463389918,910445597,-1,-1,766055011,438230183,391449168,908466043,323274245,-1,192016,164464860,274581858,868891147,271788402,761711811,681116998,293786533,-1,-1,621622455,-1,4232226,215835189,151869349,898970167,963142360,-1,-1,326509124,677709441,661549020,-1,887556273,798812889,91855892,248836682,114928402,609782830,75598261,-1,265963160,815917588,-1,409855576,730362117,697337188,506179387,795432838,-1,941385955,411984255,29148692,894141376,613223767,558418370,529693828,655947668,800016547,-1,-1,864556553,-1,133283284,695645659,584217384,-1,-1,331233838,77063647,589728705,-1,418181995,-1,-1,669484584,585620286,298032651,-1,983758037,815995156,751162095,-1,787027854,89087,986254510,-1,-1,-1,-1,627295099,312710369,574930562,-1,197745997,611988057,-1,855607596,918537739,-1,145600208,302222708,-1,-1,787974382,285663251,882235808,865889307,-1,378199409,684130641,228034506,-1,18249164,-1,949858001,506504354,-1,688214741,199308569,984843931,620419624,884657869,441612259,100201216,817904844,-1,520225785,-1,760501737,347155838,-1,589661519,256565628,76840122,-1,590634011,-1,845786070,911651462,741004644,491893465,926211509,16941357,302903704,5314597,-1,74665345,956910384,-1,229739157,793456791,802593857,454188230,927267476,86928982,-1,91002327,-1,-1,347899364,-1,135970612,350473625,-1,266536375,-1,683045116,56610868,-1,854750453,133038367,-1,-1,826175180,364567816,-1,-1,788258862,294759405,884430423,698577303,523476085,-1,565331821,423461270,474892816,-1,122367148,92682452,895630200,913356005,17006416,874745555,-1,-1,-1,990826984,83813852,887416776,-1,-1,-1,-1,372820724,-1,910406161,367574769,165927962,-1,-1,936030024,-1,107901247,-1,-1,936781585,401002251,795921560,109626865,490573008,434769965,298003868,-1,-1,273894597,56083672,710729799,774262238,-1,-1,321711454,646496736,530289387,285735993,570475708,-1,726325660,741528646,673937040,934063510,98478783,230709174,92420595,-1,-1,205746452,-1,-1,887770600,511194381,-1,481888280,825473798,684818392,597623576,-1,424360047,448075217,771964115,968944270,-1,507773222,-1,613151331,515093643,374878451,477581487,754434009,991433676,667697963,-1,214982334,927842732,536414830,485933102,-1,-1,707906955,-1,544794039,265095290,187943780,-1,-1,824853082,286664158,656486623,341613739,417937044,659261820,463112145,-1,-1,362636792,207959514,-1,30571127,298265099,283111891,89189359,918917845,-1,47520898,560140785,-1,50651429,292131343,903092345,677631980,214734195,529456193,932201186,435474758,-1,725334714,778953196,-1,976266591,626167290,-1,661591229,-1,639093742,847625047,371260534,809497781,338388578,571277361,-1,-1,247286793,63871550,-1,214627569,877499062,930714577,-1,987387996,54420114,978761674,-1,329273677,815030977,-1,-1,535466194,464610850,423235373,907037301,501796374,378289597,107744054,590969629,-1,916961210,-1,661606430,-1,-1,838781696,-1,908599259,995091837,884213243,143688667,648512710,20683693,-1,731373668,95983293,187131103,-1,-1,-1,629214225,-1,845012091,252011170,220743747,-1,446924278,-1,528984388,358728727,241658009,331200443,488699836,731172594,871080015,621639445,751006382,561104690,376770946,354852162,143959421,998768622,230098202,-1,124909317,580998312,-1,841070660,-1,962622172,-1,800149260,-1,-1,743815239,271908629,-1,255894509,163123752,437962812,229224334,36306959,767301460,207889250,-1,953688920,131965336,378062564,689305436,-1,65105612,290541545,156961477,803302677,675600947,453010941,930416687,548804248,-1,145307151,-1,436541399,633325829,536708579,-1,-1,273448417,-1,700548824,-1,593474502,-1,25004589,-1,602748551,766480327,896556551,176889132,906859946,791578284,-1,159689661,-1,-1,227716951,-1,833560782,659156108,597834260,139448399,186068657,-1,580285695,756120322,989261063,-1,370356299,131075580,429158271,894242887,-1,824008324,801150908,-1,830682977,832714295,491777999,542393971,-1,-1,383988913,254451928,172273007,937215819,-1,953356533,28089050,103459422,913144174,-1,-1,84380171,-1,680242919,-1,618394435,204093462,-1,-1,-1,-1,-1,658410065,217073138,177433431,-1,22418509,-1,340664221,-1,263915825,242731965,706666483,567624504,-1,317407359,661815224,954536992,913912036,-1,435142589,838506532,-1,815448330,242959868,536145518,928389651,183354877,984530973,-1,974215716,17970460,124743548,-1,919299007,869541490,440865336,-1,635972937,673828315,-1,836864703,348334202,305133342,451324455,864193697,264133600,-1,-1,962592317,107977438,747179364,-1,-1,693857442,729076397,-1,930955627,246772124,586287155,747932605,-1,324158043,944012205,922663169,871738717,346756618,-1,-1,919355398,539760616,-1,621958671,-1,470185899,-1,444264969,832468864,558491084,201765290,-1,-1,785125083,-1,723707200,772172917,620469051,-1,145236462,245179452,919722148,673954929,262750888,634598473,-1,-1,276844226,314783848,-1,-1,-1,-1,-1,69114152,400494142,604607291,53049255,-1,213526301,-1,530665484,47412195,91425919,25973166,205878615,950667171,93535982,202506522,175222627,287024956,750798413,-1,106872341,-1,12898698,10390271,909980022,883573278,850762655,-1,499093931,-1,-1,-1,-1,11461120,96544002,654582541,-1,315799443,337136505,-1,-1,-1,207277096,-1,-1,-1,-1,209704870,292536941,100836329,-1,580328047,232597946,-1,903649817,317629275,544726617,575641409,967826343,948690795,-1,959651397,840930454,947083110,-1,185203120,-1,637207393,-1,498964474,496218618,-1,248564249,974971449,-1,-1,297168545,538793003,931047723,-1,704597421,48167008,-1,509943110,-1,604233337,146318267,568911760,685450384,-1,824294079,-1,-1,116146075,761625735,243243452,380760587,875855195,691825462,387655574,371997130,639978014,332403011,29541690,831711183,448026896,392268105,-1,-1,-1,617763376,326922992,1470590,402116107,662909935,-1,-1,377514549,813492931,441761275,624637678,21782955,-1,-1,956249887,650846846,-1,815502499,-1,570980093,839826144,174802030,-1,-1,676863522,853024043,-1,54060242,-1,168243708,-1,538268354,959497403,-1,852694150,117899720,917629104,-1,944400692,770363780,-1,865667878,-1,134094880,-1,731711591,-1,511529886,-1,813547433,925403976,885144168,48494003,-1,39285051,-1,-1,934121575,859212033,407081159,131426772,-1,410095151,-1,242196396,490868882,874093271,850862115,604312075,52599228,836930032,-1,-1,960325349,637620447,-1,-1,319800095,168891353,399702162,479258462,497223018,483277730,-1,-1,-1,-1,652419965,-1,10060692,291881271,108456303,664822827,438384639,-1,-1,-1,-1,451659167,520574240,8259380,554120519,519001059,618996842,714222741,-1,414083441,989547694,-1,-1,234414736,852985544,353567557,941972461,-1,467925236,-1,660071729,26783616,294785172,638632616,266056096,837763546,993671494,594597550,272398058,822300519,994537332,-1,550825545,576621038,903415443,751565996,771621458,432500594,87773961,771371337,86217396,-1,-1,-1,280568261,927534385,494992645,-1,394592296,-1,682081659,95467098,35527596,927348731,-1,27669003,-1,77359979,519890474,-1,-1,-1,-1,747259691,-1,-1,930637851,504579520,105259575,100412369,607207386,-1,406846658,551114465,-1,-1,-1,322095548,-1,92982063,434920233,826283983,550958569,738901187,-1,-1,776498971,67507143,957777046,863907742,-1,-1,429897792,-1,556288281,-1,13394184,102954209,-1,637858418,536014741,181094824,765072033,931507071,166359698,907822190,-1,-1,-1,898466365,685154363,227117416,-1,187924102,-1,891353384,532546552,-1,-1,-1,-1,576431416,662340627,-1,-1,844485466,866723408,-1,705957680,186971645,979021257,359579281,-1,318780243,615686609,536017455,-1,-1,428367381,-1,-1,-1,-1,195791444,585273904,734732801,211905164,-1,833715143,-1,664899785,811637436,546075025,-1,991732680,-1,567404610,-1,864874401,361571522,-1,910893012,756860580,-1,-1,777029768,-1,632147821,93310215,-1,726194753,225207807,-1,20892109,83667259,605308248,707930499,621288525,348580901,938759524,-1,614396055,83536318,357112196,659318916,-1,964565735,680753124,479113066,729418196,38762239,346013701,929338015,-1,342633612,607168691,-1,559624681,712967316,543551421,161930254,-1,215740033,982921878,-1,141637680,345669874,135352624,944736978,413548318,-1,962188399,777918985,903037793,418192407,257859968,-1,569817074,786362806,-1,769227297,693780831,-1,226510468,656966670,-1,535550777,172158938,6725124,511503231,-1,782539661,981048209,-1,-1,360681220,538050869,929030507,508032721,536900396,-1,-1,463357088,451449226,-1,97944673,532083904,213280565,917438141,-1,-1,289197006,-1,349839059,179860371,99866726,713925634,-1,57503636,205431936,-1,711966837,-1,338431289,758047450,436119365,-1,415337208,612136027,584449738,-1,-1,808134360,114627712,545350252,43958933,-1,138240564,258543364,-1,178856149,799340962,659476739,945094415,343494852,48380446,876706718,846194078,-1,611272124,-1,846215611,398354035,-1,345589919,323999097,84512783,832736196,-1,282635594,739949461,582148365,-1,864742749,826097017,-1,-1,186803569,684408815,904283676,960980033,50806169,849005875,926110011,151680427,951991537,240135603,-1,-1,-1,529532826,817355180,842052464,-1,869906315,237527014,25496011,833020295,36365836,456688523,723489782,60000261,716522401,-1,63421004,-1,-1,8434252,756840791,371781609,902830098,264832449,-1,-1,610567933,-1,229871330,-1,-1,742875293,860686150,736660793,6624171,-1,337533986,194439179,188254715,-1,87306026,124013654,-1,72934999,595450407,860236655,-1,487461589,435069933,662666924,876366133,510809332,493132210,203409221,129140574,900679549,57718470,526080210,106172130,-1,506199934,-1,982187993,-1,173927626,962730456,-1,-1,100566396,-1,-1,439424358,98812797,203856936,304962371,-1,510111203,273183862,965266814,179118968,569014977,554571339,990248669,541742869,-1,-1,909922403,95117343,405242765,687855762,996566042,-1,329020386,862466927,374848210,825316673,795892458,928260509,789225456,909655003,729274558,228951959,425716311,935188805,944338983,952309080,555140482,-1,275329975,495836779,253339727,-1,-1,549651518,492300160,306225089,996644043,936970515,-1,755821722,-1,942532495,816984908,-1,302127590,435309868,422864167,825976159,966150187,-1,-1,834363529,223691833,-1,394708442,596738362,324159362,828278460,518318615,-1,692467471,927111309,-1,155540428,796346242,591652990,547446221,807561176,-1,905199082,975516264,387282676,-1,-1,777575665,845492877,502192013,-1,899098221,-1,517653093,541906600,-1,-1,85458592,236877186,221665907,944714787,-1,138080040,924106923,449579334,422569780,872997045,-1,-1,-1,911442121,141503449,520196312,471256653,-1,572751951,825233181,106274673,125125539,475031547,-1,968023733,568930305,780693537,-1,902412799,962893821,-1,190716710,990969821,527225204,553987290,-1,832228498,-1,23102576,-1,218160784,792273616,-1,820997551,76748141,-1,203054545,-1,101240941,-1,337971172,-1,980557679,582315249,456911090,977665843,-1,-1,-1,125402285,379017736,783970834,934621384,-1,461890844,856067849,-1,253867335,194778951,55433210,886854073,380756349,138636652,98703972,183483924,-1,-1,39369773,603563249,925518670,76423904,921911185,928809869,599679515,360714250,693538605,865867188,908809609,142592061,-1,-1,743111038,924359149,-1,315629449,395568376,892928319,-1,595378446,156549582,-1,656789612,-1,-1,652726748,-1,-1,-1,-1,901080689,386929540,498377740,341001834,101683244,356757553,390308531,573298340,637029140,368828746,-1,517115295,793893408,-1,596938029,-1,-1,153617393,596648282,887160231,46717417,749929949,-1,56781820,531152659,-1,169012752,-1,537860668,437412524,866131086,-1,908819407,221666262,-1,-1,-1,453747596,-1,-1,872878856,477441345,-1,-1,649293429,-1,-1,-1,273829717,279035683,454258404,762353821,-1,182390922,930727284,747327967,513450118,53398947,407075478,437944890,387095408,-1,718452836,567988900,748333822,632956217,-1,-1,656026744,-1,629777709,499622523,87617505,-1,434339317,740537411,857016936,182825239,892579484,521939760,-1,-1,-1,656131039,424492800,-1,824938065,-1,585913637,-1,-1,61172728,953831888,987409056,149686729,139759545,-1,-1,-1,145302057,385198817,166750478,847194447,640352539,611267732,186990457,125601506,83389477,-1,598456881,897442358,197078915,75836947,711092382,934007667,663398376,503354055,-1,-1,88855281,628277735,-1,-1,446544592,977525178,-1,455047066,-1,533660825,967024549,-1,184759187,97928404,-1,-1,-1,709516531,-1,586733504,307403301,822699207,-1,933277139,40088941,438435781,16509130,343458317,-1,148773360,-1,324982614,-1,9230122,-1,301220140,985889747,694029826,-1,-1,657539450,-1,903072564,629447549,174429493,133374049,-1,-1,558887217,398427522,755721407,466776946,182532677,576937472,125277411,738712656,301997231,969140934,655203023,107764469,695129975,-1,-1,-1,664287207,-1,765467655,974001612,369201947,228307194,822126934,-1,-1,730498125,759066679,261290983,-1,270415951,713753473,24828819,229744268,283073432,-1,374991518,-1,56612134,678244636,545799958,894951679,-1,89789395,772168007,287229632,199230020,937750210,-1,181558977,-1,843749729,-1,791806726,599610733,881868282,-1,656017373,298624267,91844433,767189233,162410452,636328329,765582448,586955034,809605227,-1,978265797,878949256,-1,582592680,-1,783764931,-1,139913510,964665192,961016005,-1,695249622,760041016,492669120,433311531,-1,241925097,-1,517680977,510893633,232637148,511901303,34097486,971195771,-1,790345424,929917559,373634416,497916748,390530179,929767821,670338808,623746516,99069756,426763843,606264797,708978193,-1,897126153,-1,384514366,305349816,163618664,444492753,982098672,-1,262565337,-1,-1,757798569,-1,-1,593019383,525771842,464005675,-1,-1,-1,-1,299730723,816659393,-1,-1,952737870,920201203,57514639,361240556,618367217,867187596,-1,441330068,200667032,-1,-1,-1,-1,41657931,191477411,430159664,501150592,170769474,819969856,307869843,296997063,-1,-1,466774304,970062758,-1,64445748,902269432,643976563,765701282,-1,881701170,-1,426870020,150915239,933679559,-1,-1,-1,765218859,813999822,725054144,861647133,-1,462429960,527626229,-1,195249412,870166724,415225738,982403924,591373868,622550905,995257511,947483941,324270265,940100827,988505271,721945022,511424685,-1,422154096,-1,290934783,-1,219666727,368075123,553743631,927178437,-1,-1,459815920,642234657,748351654,206217533,846045254,701080291,386326142,-1,842037510,583011791,-1,654151593,370414261,940341047,464417494,325000051,501778702,583650535,140991039,404019641,974965939,717484712,637902443,-1,841061682,236812640,924334179,592046989,517142789,-1,36238622,986293419,350231799,521359598,630551350,585245632,884266377,46651821,205467978,826703926,674370391,500093766,470666471,486029381,-1,244577,196760275,19766281,-1,946345598,-1,-1,775213755,630710734,173982779,513379928,194095223,445891390,788277125,403123456,-1,-1,922933745,638820294,276884161,182246234,500124042,223551987,960134387,992193966,988320425,245460769,789734307,-1,400395810,-1,-1,622593385,953639753,-1,-1,32301483,-1,940530117,681322790,638884264,-1,-1,-1,684159445,170276678,439774472,-1,-1,75870663,658942605,98614550,310700507,758988444,-1,360362340,-1,104451006,-1,65751586,23622965,-1,823603263,787113155,-1,33580893,468837975,916816212,236301610,-1,664474466,392870020,255585227,752953297,434047370,515514680,-1,208250856,696481855,939366603,838154208,-1,283880534,77233825,975005404,-1,697092241,-1,-1,749939044,172278694,80896855,298210790,-1,503643127,926872895,-1,-1,468295,294536659,707502348,-1,693007624,-1,814682466,427095240,513265666,745276513,-1,885497933,23013695,330852812,-1,-1,-1,556601872,516100689,-1,818810806,-1,608472368,584082075,914337325,839283448,727726123,798500741,359429543,580062692,118860006,435529873,-1,-1,846995599,519210548,-1,665661257,237964020,182203872,700884165,904974721,128010669,-1,-1,330289264,396232824,490471423,500397340,-1,643289225,625679797,-1,384119341,-1,-1,290400035,393118285,-1,332700314,-1,993876189,807972375,-1,686441108,-1,654201723,472092921,673058458,-1,-1,101002128,950307535,-1,331660188,331790150,-1,397014786,-1,-1,355967273,221109655,603605494,-1,40342711,603871845,162546146,839338340,863055242,-1,848745565,-1,90331763,-1,236666456,-1,-1,859998904,795842606,931178905,880256154,-1,96772289,212887765,293650094,970824628,90368619,945265291,-1,-1,195771256,823318239,-1,-1,-1,320429988,52536762,-1,724884844,944361175,769566859,-1,628799133,412678377,826196478,564845134,721202711,991983297,172599696,592908270,-1,-1,-1,841651629,804010480,-1,456783923,717970280,649417815,-1,505410750,846625628,249993227,584549014,-1,949351169,469987239,609647534,88996767,973688552,-1,-1,317379318,987901067,920607336,649487352,455323920,795224813,-1,240189586,430968373,-1,857857691,304232602,-1,954494733,560964689,478464235,-1,935707054,860084404,-1,3120988,854083738,-1,599091976,921480308,305602596,269045178,162860298,-1,-1,802709548,-1,-1,963075045,-1,-1,493580191,562767562,-1,70504181,887936146,697345950,-1,-1,-1,176194712,991474706,986740959,915078294,149781832,416936039,504444660,179238102,-1,-1,-1,241482137,393020890,-1,-1,919967423,-1,-1,677896805,819252777,588623833,755085619,79156296,884389063,668493022,89973009,982613243,458729869,-1,529495072,915980729,875353963,430190076,485435931,-1,286470715,512497967,-1,265759528,-1,706244417,737623824,14570465,324130167,257369664,631069585,632048247,-1,959550142,717135596,-1,-1,673495696,205953477,-1,406478858,-1,-1,411143298,969601908,510045197,313728065,-1,901330392,519479320,-1,-1,397847306,553777855,900001187,650666309,906868974,-1,59191568,849964186,315535328,930577546,486401185,-1,625808938,722300381,-1,-1,317011642,-1,461391724,-1,-1,-1,612006022,721713602,554166113,197128333,-1,173429898,650805925,293887346,349011741,-1,283632540,851777071,811604370,656259032,274647498,810584660,825962966,732651287,276680129,526659416,-1,804805932,564181864,-1,864625848,798819615,501059458,858931516,193886683,653120212,-1,926959027,61012015,608570374,636315231,-1,574395493,634952716,867013438,114420497,-1,-1,201395720,602044396,637377698,-1,46740479,401617743,53883736,259373633,909077811,-1,-1,660580521,674156927,20102124,-1,278301190,341318175,967882538,-1,-1,39923134,679242669,726679994,-1,625658707,490000167,-1,913416840,39751454,755441225,-1,-1,-1,227359521,-1,-1,715727728,214308191,157871019,147256809,-1,350879913,-1,815266711,736059493,620661547,536095351,928917329,699092585,530181189,-1,-1,823553949,67376292,407923045,486121918,-1,687825979,834638274,-1,815772988,275122504,823206599,-1,580805997,-1,881026216,905906077,785481640,587827646,328012551,267555309,597689784,-1,-1,714640299,300134754,-1,855136820,774539265,980720710,569597778,623161568,-1,796918387,-1,-1,323258031,109069260,-1,535076148,361625870,43710127,496188402,586526361,635478293,68235913,27178508,692216687,112055886,-1,-1,163457731,500257310,140855733,945883491,780955145,-1,57552354,734351016,87350054,637207849,320715067,424831622,31483759,513384265,-1,-1,987981588,334300899,-1,-1,-1,841272638,446674086,-1,-1,593962569,279292865,839845302,834423673,812404579,522436303,-1,293919439,66503631,-1,-1,629025756,659371319,864555307,835672392,611385098,759701773,-1,396730967,18063395,322161404,545409398,506327566,5236428,137393258,434773256,-1,186230381,827871129,270517787,283313981,670691669,104624636,799407642,469298373,75647105,855597205,630246483,-1,112325943,436921787,-1,-1,-1,245283626,513851382,6324976,833537362,106106348,411746175,348818697,-1,925298001,961141383,9202559,-1,500387416,17618324,5214600,-1,-1,392448808,671505957,-1,357647843,-1,255587992,-1,-1,680714041,879054216,-1,914660239,694842749,733483963,978934286,336535460,562449578,671625035,82237827,125068452,507382490,-1,-1,456706046,442630122,82268594,929125398,-1,-1,150693928,288408232,-1,768282036,523314045,-1,605582440,473166765,423023989,97871380,-1,-1,187736391,-1,497784843,-1,454235194,-1,695969534,6423826,-1,331516758,-1,747918595,489897764,997839068,-1,170886778,-1,77505348,155349301,-1,649896376,611538067,287665203,313665969,807640559,38395806,229186370,979884688,678804474,188463683,995916193,594405958,384813080,568310860,-1,-1,-1,-1,-1,696124819,23781576,638746173,567765273,405369974,573420632,725361622,668157688,172453758,495107039,476701674,-1,79075969,-1,854416854,542741301,572094115,-1,-1,-1,881224113,895410397,-1,10448281,-1,657188373,602013540,959878324,-1,-1,-1,458647831,343608008,-1,664769492,72619316,974637995,56273224,-1,15603101,-1,95176902,-1,47761642,-1,-1,602072494,-1,734945863,703282597,-1,636040130,-1,744587165,-1,261355548,-1,667818458,468469712,809259210,-1,-1,-1,795375677,634317284,975646459,458501411,4799485,232656741,818632832,240069815,-1,107308367,180403359,983040506,-1,313042667,417871494,-1,-1,-1,297827891,455930334,701525771,939435418,-1,831973818,303282985,986200845,731160548,-1,31701897,-1,-1,-1,516077120,-1,133926794,769785302,-1,-1,812884683,930401452,602229363,630245148,691637838,484451233,-1,-1,691970236,969158697,387226898,247884506,556714073,667422119,409582612,215019396,-1,4905547,-1,931720696,282050057,835842981,618536412,-1,456438253,-1,444783421,41027984,211901630,-1,42822139,65838385,-1,789874494,711677971,652333890,788105364,-1,859194490,5132023,-1,-1,70136837,299191195,748796687,392127719,681327356,424761949,-1,279899568,-1,698094283,970682731,-1,-1,-1,931403500,405915845,330754191,190424579,700703499,128518505,489602971,631756819,163786,294229353,563810155,844528085,898900454,625058219,-1,461868257,-1,-1,231027092,59786592,533891186,688014431,635033388,514140792,193867357,280555079,519164858,272839863,282664334,635089321,317581214,602844551,922992739,847943722,505944550,288018524,758002012,-1,-1,-1,-1,-1,798749611,704669410,384103992,357809035,426254035,-1,629792393,387482173,-1,737664016,-1,577427254,958093859,392269873,-1,145946291,549249760,808730901,775557254,446727570,781600000,-1,435495681,161000106,846674157,480664261,-1,-1,778372394,-1,321853550,161120103,28068112,168856052,-1,868442238,930852167,-1,894376611,670598175,-1,-1,-1,698898584,-1,-1,-1,166451776,182114351,333576493,475145335,344902201,463199322,888790555,52513177,438029490,366460637,396613803,247174461,693659036,545290901,303852320,908274535,46737798,648010964,227986336,908046250,-1,-1,-1,19425477,102117718,225957106,193214937,288214229,59987791,-1,975152646,-1,173208188,-1,568986744,638096037,841623533,-1,111477617,197186268,-1,725860466,-1,995455139,-1,565217235,-1,265552802,-1,375444478,379903450,-1,103573568,542523060,912558493,970533737,820998441,198893227,183361764,251833607,148818642,75453919,-1,308647239,-1,31003437,806456593,305992548,833945933,835089886,78281907,105308761,336170352,189531547,-1,33543219,-1,-1,720248986,587253702,411552612,934461084,33601314,-1,937343515,989689559,591161377,384123958,845005664,799554803,319236095,-1,792322148,778261311,694175316,249725576,-1,243844524,497630026,38757499,250167998,628333061,869742575,997645302,-1,-1,1330257,516130048,968725914,30962386,330930353,630596538,175035835,926573207,372572903,543805178,-1,266200660,62676137,-1,308096360,904462414,-1,149830029,601312864,429879312,-1,-1,-1,862308861,627617389,621150992,650418275,-1,648006139,152851606,336517049,-1,-1,307137298,881006225,54166528,689596030,-1,86923971,832615028,-1,312639275,551712148,973442634,594188516,-1,813260331,607029719,239593694,-1,242295761,913554066,122745233,708781436,125600411,374520969,-1,283745315,-1,76215892,339796569,774148316,-1,-1,442395594,-1,-1,-1,780703837,791778806,505257251,-1,-1,697004774,292292347,639034327,-1,-1,-1,586090361,23753071,9260740,566021481,-1,19665825,-1,327932029,704376092,457548233,243424208,-1,848408814,-1,663155462,719192585,338544679,878804971,55754703,293067676,821670669,-1,-1,102306039,17468664,101092097,285480030,986990794,185246327,-1,327910890,-1,-1,221058456,512501683,664589986,283007816,-1,575969063,391838273,841772165,824836712,-1,-1,236108773,470042945,-1,899780888,564516558,244199523,-1,-1,-1,-1,865604217,-1,-1,972339545,254897622,477380513,82468367,-1,114923716,56656255,398734244,-1,522290893,-1,-1,256659391,-1,873733473,518444958,65934169,215061890,910806882,-1,-1,623277025,825779381,820263209,-1,342588486,31709194,170165927,195025539,-1,-1,-1,250527619,271790963,-1,70770179,-1,609817697,484275255,882873404,-1,708357927,137331760,413879527,873813682,79471692,57942600,-1,-1,120448889,244615404,868304118,963566570,-1,-1,597793139,279171711,301272365,-1,170070608,490854628,-1,630714411,93639695,-1,-1,-1,-1,389956458,-1,844352877,661782097,-1,221563429,476993029,261594900,-1,463509579,427797076,418246567,-1,355320526,-1,403971837,-1,-1,989668061,858083129,410112696,316953053,517309020,-1,530119943,-1,596570343,-1,-1,500252405,203550072,993405802,-1,405702977,776788823,867490489,-1,-1,-1,-1,-1,-1,842182617,269920671,-1,997625768,452141335,142034843,-1,857027563,514298967,723361403,777555774,-1,312520708,248713831,982390783,847643899,623620580,116512521,-1,-1,-1,212855231,-1,-1,-1,596993373,699795380,-1,368234123,-1,634400198,543324207,482819565,-1,134890606,-1,786519322,373641630,735298117,242210751,-1,397403593,489521981,445528489,199797811,881907000,731144599,678951149,-1,740420391,409234635,673304168,-1,334894452,-1,-1,617140042,-1,150772916,733780994,699673791,675143833,-1,542400763,532430900,782679516,81840830,-1,76410263,565051749,867081225,540661438,311137553,984933152,272505810,391512478,213688381,-1,232541632,759130434,885546771,-1,576070307,745979485,756059275,751974456,451104657,-1,-1,-1,431736730,-1,748106116,330996500,295494612,914198045,562222399,396352365,287687278,895717439,-1,-1,416267953,389848673,-1,-1,-1,-1,-1,755094526,487198761,763212098,-1,456628809,599168034,-1,256586626,611379012,34742882,600740520,387066009,766461603,224452915,967960343,339286143,206926889,758859152,737835920,-1,-1,-1,-1,6338731,-1,548595087,176721103,364887978,795928880,570540924,885952701,344347717,597513337,-1,477941003,835275931,-1,654341849,35438321,453430072,545592171,387187157,-1,156459625,638271577,979249714,942084398,692080402,-1,-1,794646860,-1,608135080,341193518,-1,531701375,290610092,-1,-1,695251628,347857035,-1,-1,368985982,-1,519451842,678107611,176876842,94188633,-1,999333234,58174847,677745220,-1,431290121,366224685,229030337,-1,315326830,-1,576052823,-1,537117692,-1,53762447,744974759,-1,352356370,276326353,981799563,453165502,-1,152067812,775881578,-1,-1,823970437,38562661,-1,-1,32629757,176051426,407188849,722652339,-1,165840038,91795352,-1,-1,363239777,-1,-1,188884068,773817173,-1,624813050,390258972,-1,842605719,887855307,109092585,875046515,781843350,994586430,589735313,512598762,894712415,558451102,45211858,198402,169487965,593267357,-1,996435328,-1,-1,340453514,760050196,-1,-1,-1,201231946,808051964,372764800,205912735,-1,-1,534483692,226495768,999513915,-1,82144683,375994365,202128714,928828875,63016369,698903434,-1,984850069,-1,-1,942486165,31509144,730515183,-1,730786833,436861253,-1,-1,562077236,530719672,478675402,-1,-1,448310409,-1,-1,-1,490184902,796294522,185183516,-1,-1,396462177,676608440,665832211,-1,-1,361076033,-1,662336980,525295326,599979732,510528802,804820061,-1,905535405,430521183,187901921,805067377,-1,-1,-1,-1,421245992,629857673,-1,295727520,81090080,319181630,703513271,214326185,531052770,956058320,693697091,13503107,-1,-1,40555541,-1,853281963,139092905,890829294,-1,646650810,147419965,900522160,367651337,116130614,757452160,-1,194396820,160306037,-1,804426582,326187943,-1,174668788,939738915,730525930,386219195,738658632,515321021,951025138,-1,737603301,495970698,44593315,-1,-1,618740004,511453095,515837063,640793882,418466112,377802593,729175120,654442475,965911598,876528616,-1,-1,792945378,842348669,-1,863175003,-1,544563364,39576787,641480525,-1,324062719,-1,792391327,-1,788919776,309023229,12862415,475474512,441960554,651106371,861794580,590604795,457777035,998990059,735566661,-1,424918079,904181529,930733139,-1,601432964,655501117,839342242,911997193,508361451,-1,-1,437959019,521805432,334766348,479724557,355079219,712652450,209818567,2038110,927075611,-1,598970943,-1,-1,841762814,948064721,648433619,577257128,535650856,94803579,711105002,-1,197591640,-1,-1,-1,38446715,533521953,290238364,401064548,417112665,-1,683535918,-1,127158681,-1,351393753,281207615,165302449,686742170,-1,414605451,-1,991276879,-1,561053301,488812248,-1,946851252,639555800,959630080,645862340,932211611,804456665,316627366,244154899,335892272,-1,101554373,-1,199502301,790274562,79788135,501446361,342692087,152837676,436106395,-1,289070176,-1,-1,289891506,201354049,-1,-1,654964281,744822546,795612321,834645636,192706537,-1,312960320,538951299,146121005,760903034,129746169,-1,116821579,50857060,76261142,-1,569317297,783871613,823927234,427911993,255530734,4368165,-1,198134383,634019323,208458893,556895912,395967078,-1,195197766,236607295,183194191,-1,518801121,692532935,301938941,-1,-1,-1,315681367,104647044,-1,249771057,383429849,645079995,900111680,981671911,319702035,-1,254020652,328600402,538833750,692371610,-1,-1,215326623,632078761,907954254,-1,72031068,-1,115340886,484544970,382742309,694259393,88658614,400044863,813767698,917655277,922987164,-1,144731519,633079288,892962713,759805453,300759167,-1,321415091,-1,400341839,-1,46847071,8496661,84240738,826539235,239370505,101748413,9590983,70125038,579144537,-1,693907781,274360608,-1,142566711,337961404,846089836,-1,-1,35291018,-1,-1,-1,-1,356561968,398887334,121769777,-1,-1,828674047,-1,104630761,-1,960391318,-1,489023456,711085735,491734619,-1,964912535,283356877,-1,-1,566682696,875995280,258139089,472158788,249588325,-1,-1,-1,-1,-1,-1,-1,241104238,732347569,-1,-1,165344225,-1,674012205,-1,964611922,436729593,-1,183985873,-1,290668204,681124360,866741989,-1,559043916,-1,464434963,-1,-1,466000556,-1,-1,40527417,-1,-1,422810128,689618691,-1,747758229,-1,913649949,512983184,795371693,843618054,106341746,542602098,-1,812226312,-1,259342994,297591370,731271106,733743243,23644,147854921,-1,532675736,655680300,-1,954774072,635825047,700465070,960875215,346435245,-1,876154032,-1,936865745,386646804,-1,648841474,528203386,888046148,984045299,-1,-1,-1,411419415,221428250,820228624,370452754,59323456,750464447,-1,-1,883622778,497915679,-1,385821743,480543743,747225273,892842709,676163208,-1,866582815,118061950,-1,-1,137553114,582537845,-1,839209487,-1,729874104,637452144,348628874,893367900,-1,-1,378755612,980556232,376784093,610259164,561998128,245021692,453249376,203867451,286868592,-1,691093983,-1,850396248,773008200,842347750,955616667,288248678,-1,139782188,527921012,427512540,926191224,730876481,-1,772071609,-1,-1,238923093,605677027,-1,-1,311193014,862986886,503432326,901861293,-1,711837824,514782490,-1,-1,750741649,-1,-1,485491663,315855565,-1,879669800,-1,526256227,-1,-1,807482057,876626013,321167902,274836740,625498000,-1,24346081,47091417,-1,327156775,233957030,439301085,267785003,987698883,60783581,331287948,314294438,391359533,602052723,22915329,152066638,806024885,465784883,-1,83143368,98775956,-1,239651577,-1,-1,65645516,724210027,942630774,-1,867809895,135073539,-1,470191677,325506791,865325498,547442936,334568625,73187132,194191173,757540735,88096854,617124338,-1,360609393,793419955,-1,179501080,522147245,40495712,774874779,871096704,815543626,-1,43859039,-1,-1,401192297,394035035,904420947,54040335,125647376,-1,534912417,44166511,-1,-1,-1,306817764,242313087,-1,599179085,656623792,728446803,94512636,897453758,950350140,371005024,907742899,953654051,-1,892162083,388088527,-1,-1,822334122,40672378,-1,387993028,847857595,634669033,581178355,-1,673947961,560935999,-1,598190187,924291682,295524853,907837110,682730500,360479513,867702946,310774108,-1,-1,169785339,889897632,21796555,183758205,399580419,140272208,336123970,482533540,505075061,321061926,465926815,591561419,867561846,374326611,863802290,741253010,-1,677435521,242159213,-1,185672837,433094046,805120592,465414141,972538746,-1,341152800,310259077,-1,589116192,628302494,-1,361986943,707756552,900876547,-1,-1,433773799,347654248,86572350,803628335,-1,-1,-1,640637285,85434015,-1,84789746,363823760,593180844,-1,-1,-1,804466907,452999091,630902482,796405190,52228223,-1,795983580,-1,440812459,323556947,-1,634393089,552080506,276941958,-1,949812538,731894889,-1,273570227,100966023,586873409,108069572,-1,252859067,-1,-1,-1,-1,-1,612826394,-1,-1,819358518,836674935,729036542,-1,566379235,257061889,-1,-1,-1,-1,768038216,374451238,5412661,426415419,986799075,557917709,35917056,376159333,-1,832421023,339579265,580656315,61273053,725885070,923228227,-1,522866236,666036930,790430551,456676505,956048336,654702662,10760205,-1,450367979,561378234,975167654,-1,35558410,769957440,111310408,-1,-1,790985304,395268292,528752744,802102327,238013043,118041757,46859001,-1,-1,103919913,-1,785385811,832885357,623291495,506941425,773240751,56208269,558953694,837711115,-1,430618236,61622489,764068945,394297184,362933170,-1,863640605,116004914,227792075,-1,617659155,358406602,939065520,-1,801978023,934691354,-1,722360366,-1,278485237,337710834,-1,684249050,715981454,-1,-1,211915887,450847219,-1,476426749,581666333,-1,254592114,-1,-1,-1,269459015,338834685,144394212,89908876,-1,879984733,611485208,-1,503948422,579501485,488341873,-1,372201831,479178165,-1,394621148,138492833,180628165,252664367,53895041,904543268,480353743,802019405,-1,438167343,809179939,-1,355281426,-1,942092816,323891852,411724067,-1,936924030,421508414,-1,25066265,876594120,-1,491477387,-1,484836237,707582384,882928388,943594344,71594764,196930962,-1,-1,797499019,354684130,702120790,-1,713813154,349724875,802006196,-1,600525520,919517667,-1,892038201,110943731,488053899,527860024,174802600,998751650,577379267,564546460,790184915,973152922,111361789,457162107,849588000,-1,-1,198024753,695446693,-1,436544697,217062895,850196644,-1,411562131,867525598,-1,968010425,473550290,248945327,77550544,-1,-1,-1,-1,949685558,660148441,356073312,539369282,919126940,303338724,767801347,248197302,-1,-1,386459432,623404729,248410815,614440746,158794840,136702498,357613133,666583253,573962316,649087468,737969019,699215934,935417797,-1,497385157,193117939,764825700,900507868,128961997,740367924,109586903,518099849,490704849,66981658,-1,136025411,621374799,-1,974545198,232276512,-1,209184200,913300371,-1,-1,244691950,910393497,465309921,539832490,-1,410644396,563913996,840464301,526160871,724520842,203475852,-1,439292414,-1,-1,225825452,-1,254402801,855424152,148992176,636265409,-1,-1,184237181,212350562,457495841,897400777,213434932,942533515,-1,405512338,-1,-1,471301701,288916985,21970625,234929281,568646247,-1,-1,177427414,276624301,55042815,21071839,327087841,728522113,-1,422356488,200089221,708621631,504348064,997743462,-1,678441548,941966895,607764212,-1,-1,264207547,909490502,596607958,732182625,145378187,332726571,-1,858691515,789408586,49069863,228448087,222692325,28080285,-1,977824190,-1,37857361,131507007,422775311,347795059,879007354,979922502,-1,426570437,-1,820704067,266852532,417188113,826216339,622664257,709190492,-1,858678181,624743,-1,666878167,-1,-1,135360660,-1,256895764,575572390,898591713,15640964,838314826,300777570,-1,-1,918316267,53092608,320582287,894835756,781542235,196280471,785411896,858396806,-1,62665774,68028329,531240389,168824306,198649819,904242045,-1,-1,932029818,-1,77506490,-1,482179827,398027207,-1,15898903,803611727,6707979,823260811,961110820,-1,-1,575702579,402804708,89850193,-1,473500491,165795773,57123637,544790796,516747618,275754132,964968636,904818146,-1,162108436,393579104,93173585,448460309,476558179,-1,589762990,949564725,629779673,-1,-1,-1,-1,-1,479850478,913012655,526849737,-1,203029445,333519825,304264843,-1,281798480,646911544,10556789,-1,-1,-1,-1,-1,643052305,-1,-1,729396402,-1,854589925,56313062,422025502,288436712,880079414,342227016,-1,177871898,49399435,180481570,376725831,648049261,77380674,106800273,271646180,985787423,97817590,-1,542000069,-1,242542345,172320753,693387989,791780606,-1,218059580,520532450,-1,291219204,347628132,628751842,388516311,401952770,-1,285585878,481253583,140923131,117836312,838097729,-1,307908042,778055878,-1,84241136,898540903,939114548,-1,156282142,393345884,957267704,17616680,414545750,774777813,26539175,603254809,-1,-1,687897371,81370075,326826837,614433001,963913615,-1,116586098,-1,750852010,632184016,-1,859495276,925865214,319687811,392622212,139270706,738948256,-1,-1,351202233,-1,-1,940403211,640895043,-1,235377839,591907056,605898297,293465623,-1,194037004,725199082,-1,518867690,961490949,863648188,70621323,832689479,-1,445865595,-1,329704873,-1,-1,899931153,312033563,-1,515673561,-1,425772739,9563455,912872751,543446051,983605466,835844190,-1,749705880,627571102,480159482,100112904,263836513,751987279,-1,879726184,133681604,186440680,-1,12685404,514496004,-1,635076459,425456313,345189859,289496039,188149341,-1,-1,-1,149642891,137011426,880161593,911509834,682810318,-1,757653921,654636101,-1,67577618,-1,-1,780803491,66896719,977035320,297203493,-1,-1,754942276,456764433,48620275,230623603,700937482,163397159,914964665,331046891,569692341,951700757,951615793,63081212,999287452,88738698,-1,634337174,278344138,-1,107147525,49198032,-1,33038476,-1,654524986,-1,816594919,52287600,-1,-1,838000451,-1,935002093,-1,-1,898809998,924061597,777874493,-1,254006570,514719448,441115501,500723765,725602720,705176788,971667768,-1,599339987,439463899,-1,731787661,671364119,204318700,-1,142419372,483293125,268604242,433487506,68586068,-1,-1,-1,699081664,76126192,-1,712247831,301963888,-1,908029478,871092605,681154450,709326554,20784561,425988879,-1,559768194,120332156,122667161,762796231,-1,88764895,453331122,264753214,-1,-1,420802632,382661732,533048103,581915572,101849424,-1,-1,-1,591194409,396747862,967239859,406567019,112220200,81774626,-1,-1,-1,-1,726873888,849298467,150212394,291809095,621511471,-1,338359929,-1,758660873,604867294,-1,117082588,212442073,-1,-1,-1,197669126,473659577,53135920,-1,546538416,-1,587563014,246059382,-1,849558697,271391193,133625887,166139849,425566602,216520392,-1,935205328,-1,816686218,371503458,154529316,434393487,584354844,946089934,341446998,125127936,130404230,57647311,-1,963280496,375942489,388548657,776010600,500134727,918358743,882586494,-1,423013403,888561988,-1,358800763,891710157,-1,164113352,857746475,223242469,465861622,181144237,400460923,295242709,939791983,523404437,-1,590596098,-1,185486218,387888317,727461389,507736321,-1,475191634,-1,117188980,395361163,639247097,83233642,314126482,716265630,-1,929843813,-1,362303357,-1,770756519,831287469,255003009,624458598,-1,655848818,843715350,480288741,203687952,899702065,-1,-1,296331882,-1,517931908,26859484,-1,-1,140970359,-1,556077441,247884078,249817642,768419399,829431130,-1,763840959,840057161,723674519,-1,475280393,129657196,-1,-1,-1,894523276,-1,279772948,-1,206246149,-1,-1,275969567,553958906,-1,844415163,485683637,820124098,384656204,283718850,450471770,-1,221655848,12344972,416851483,481649799,-1,783957687,619871772,984108332,806259284,780839409,-1,-1,-1,88614493,626568852,-1,410451190,424229403,-1,-1,654541706,728169352,799623597,627558080,121403242,-1,673179705,850168341,622295265,876298902,357948951,932607186,-1,977525305,961377965,482155801,-1,811171696,-1,7889341,209652825,-1,514135968,-1,914448871,886777544,83501411,433039151,355747042,-1,303950664,-1,96310778,341055013,55760501,920173577,-1,220500863,674307770,-1,709352341,-1,639281269,448459812,638052983,473063797,401506580,936518732,938767473,535648585,308491152,-1,-1,835882573,575057243,627014378,171450584,222552392,830654350,575895118,977521131,-1,-1,640397444,776252520,631507127,-1,527568361,408485406,659488188,867805127,-1,-1,476134528,567549091,836347038,134141955,-1,-1,663002601,289579928,-1,-1,-1,421652344,-1,-1,384173386,612673126,469942514,-1,-1,307971700,310768680,-1,191871849,-1,119351425,236984327,505307739,-1,-1,287326470,764373851,468257315,267356844,672014336,494398323,-1,91832733,49606272,-1,-1,-1,282222611,993076652,-1,649403512,201352483,234048983,499111866,764673019,-1,-1,-1,319470055,260955164,253076644,460158753,441306119,-1,-1,-1,714855029,688014464,339247719,-1,-1,389143342,78164552,768471865,503184397,276109706,369624182,862441102,50837840,976570330,-1,773468773,679440816,-1,771615689,843000770,652142452,701580313,699665435,498758790,-1,479029043,-1,143781211,116827800,133128197,-1,781037971,245047739,742905781,966570090,-1,171279463,908208262,866027220,742988042,98993584,905177613,225637656,846044931,-1,814101352,-1,612499976,-1,243632588,-1,155125932,-1,-1,-1,247056350,581445508,379022127,-1,-1,719889860,41065546,909052787,693034491,819771782,-1,179484409,521190060,523655708,-1,575528140,991183030,289515191,949353557,424480233,465859331,-1,459199229,-1,643166916,738037557,733171714,223908262,44209782,914969608,518843494,901661736,-1,903210697,478742673,-1,765327218,663928684,239052615,10306791,362042531,66893036,-1,-1,910154418,321443166,301039139,702777182,857217623,-1,392125900,-1,-1,650456342,30276411,883777547,-1,-1,495443028,314281890,735165995,811936419,-1,553248955,975144461,-1,249510215,-1,241726745,-1,-1,847403075,-1,887287603,728611895,661459087,711193455,869879359,828429281,-1,185475314,539421654,173276362,-1,133413790,819553952,779420186,714334664,379755819,-1,-1,-1,86235566,478601525,-1,-1,17352346,915531144,-1,-1,832434033,781344060,-1,144333908,-1,-1,869240696,-1,-1,545885242,-1,307843445,801344770,-1,231465799,-1,251082174,-1,694066511,871619556,396783213,301632421,296419690,843462608,-1,137284311,24269781,946150774,641436695,904777782,850479355,257929908,989501192,213299805,604661723,646163511,608941577,509548724,-1,-1,605705073,470821467,656347781,-1,567342088,217078574,232433011,-1,-1,224051717,-1,-1,86439402,656897930,131789026,-1,705341978,-1,361074251,396772574,747620405,953641567,814204905,-1,245013355,699968085,908004129,269118487,-1,694133036,313670615,685452232,-1,-1,-1,-1,648246590,-1,739138001,112845293,-1,-1,-1,697237907,674456611,231812777,477741696,-1,308298927,132620568,-1,663279205,-1,986496790,-1,369831584,79452801,509906505,-1,670703999,481668901,537977153,734037755,387418656,956738921,500262859,193705753,-1,168898728,201366806,494778761,793362863,621146798,444108168,-1,608202711,294365537,518576606,200781991,347834707,-1,444383586,540898251,39265802,199253002,-1,505559012,854649933,740920491,-1,633270145,-1,337083120,-1,-1,903916214,-1,715119746,333461513,661085239,939524019,129748914,308554178,939522344,934863619,750926560,766195280,98630306,-1,-1,165591683,421375438,925462241,578717906,-1,36453791,178034098,28957510,89315042,934951612,465950411,-1,-1,280156685,358369513,148930651,809566431,822088382,385174649,101428737,419060528,911312347,513679290,-1,858938338,-1,537196179,650671385,765674959,394944803,-1,211033218,312984571,396472216,-1,734871118,-1,981872271,942844868,-1,-1,578748165,-1,-1,-1,12461406,552413639,-1,-1,339035368,26128626,-1,449336101,452743061,693517094,226286977,808197758,456860375,554001297,694560423,116554008,-1,670951773,-1,487153969,98568561,770746372,219462231,-1,677598755,13576787,-1,129271555,792459238,785513578,898418014,811323633,831322484,360925999,148943151,665624978,289170900,837384369,815079378,637577901,825394818,-1,-1,409941681,698016861,262578762,-1,169520659,940663813,663969470,632720294,-1,33550343,985922134,971418239,-1,-1,547494932,-1,989243716,940143726,766179200,614782883,791967750,782476721,-1,219361320,999535128,273602302,570854076,949152912,67680304,259245561,804612023,-1,29909587,-1,417424492,418581425,-1,-1,351256484,168671302,756366145,120219566,553963847,623523437,116438010,235572390,-1,865786483,147747882,-1,868251115,-1,588109438,608536097,340941404,789958368,310794036,786348261,198774675,890153609,405418792,891414454,84979597,136097823,-1,592344825,696784456,-1,-1,734155188,755510816,665177460,862332252,-1,-1,-1,194246700,767650210,356570349,584811325,514150152,441496082,-1,675753693,535729822,640409916,587641974,448451528,-1,374994788,184468834,301107786,539226550,413988168,-1,179269065,817500312,-1,480776828,715217689,188871980,-1,-1,727439151,172126659,830023987,867900452,-1,746746484,-1,-1,943716468,550226812,488154696,323679226,-1,612490129,635603690,129884821,934527711,994654675,966748644,965851641,601185357,979874152,266438336,260952112,170809138,-1,946943702,-1,409830176,-1,-1,863425100,589382790,93952089,414479099,-1,902498520,-1,400871859,292896779,-1,51703190,-1,962223489,497987704,141196192,6241655,817072364,142877378,756324410,810399536,-1,968676178,546527781,-1,182442061,304789812,432194434,2394529,978228294,979385179,-1,-1,122174315,90534318,82087327,-1,618654652,350641550,706609635,574738722,675025109,205723387,-1,316731514,556417869,490481907,693330020,906553334,336621256,-1,661421333,585197305,-1,-1,871991695,880488060,-1,395938164,57963520,504375213,81549658,-1,514861925,-1,-1,-1,-1,5365760,643991966,-1,-1,26452212,-1,-1,745259155,187207826,299526451,-1,305690617,338850571,559062177,-1,211911895,-1,-1,465082003,-1,99944615,754952756,478073214,603017865,461747316,500319066,320433196,607062856,286730880,750162456,307119723,899652590,155377894,746025336,890376033,208734512,951688166,423372254,233097967,32700543,-1,879422177,911415408,-1,261638768,724865037,-1,-1,-1,105939843,-1,798562185,-1,-1,92136924,376561799,-1,953110046,118176665,-1,431588863,281338122,158373073,815876656,152568387,-1,200806471,218450035,888643062,132240136,683761963,551073522,93560110,-1,355182347,-1,3896084,253578585,252494775,977613308,808049145,989492935,-1,325972748,490927456,8713748,355503901,-1,-1,266618092,273932783,-1,197577118,610572708,944620767,963098658,-1,976522421,444970568,-1,-1,550557586,365139751,756433899,707095938,-1,603074611,-1,186911580,-1,403869482,742437495,733547210,-1,617598814,478985934,581429014,-1,-1,698635304,133298877,320571389,974768664,438100127,912896881,791428730,885972370,-1,-1,525777078,-1,704489022,10131480,779625130,308641450,643268896,-1,501921363,746560034,-1,682390133,656407214,660289090,584318354,143611829,-1,122122236,-1,10769827,834554650,108345914,-1,817477308,604104886,863196802,-1,141452282,457006445,778901275,390286608,-1,905526175,260866077,-1,-1,442178643,-1,912468650,-1,789016176,-1,-1,307374782,879515128,-1,963657992,189735129,429440536,-1,231575465,626054003,-1,949165813,433758075,930092055,761299363,-1,344754920,706785783,-1,236364055,551640674,563826427,605460924,151970460,739175697,626732546,-1,298093947,912709137,-1,118102598,844108231,-1,269472612,264677211,116528731,140913892,422796102,713861367,700278341,797596701,-1,-1,-1,-1,137058068,226984268,437910711,667273890,254268659,710036154,453001050,214041251,292686882,-1,388123158,724991502,89741072,615683359,276672262,316521271,648282553,418705426,716833945,854365813,-1,973323524,-1,150874736,834889274,-1,900503324,262552273,219906933,69198808,-1,328368973,-1,176325745,-1,649935778,525812851,-1,-1,341704506,-1,261666250,889838595,-1,731927059,968728724,-1,631645603,-1,-1,-1,154835717,143127238,954264302,634942306,-1,235876935,-1,-1,272303370,147180552,-1,65081453,78692084,328242100,338274279,251323661,-1,498763821,430584584,-1,-1,82551685,-1,255431394,-1,877690677,-1,-1,230152907,185757747,503328218,759808430,962011849,969736013,559615653,-1,691533189,718682861,472344600,-1,-1,62432967,-1,782597735,686822286,874381561,363639483,898634892,-1,967267534,-1,444275792,160103635,618530878,163005421,-1,992411336,731459233,-1,-1,-1,226487245,233748537,180882465,182664922,663533536,689100175,-1,-1,751617207,911062229,86727084,774763075,-1,-1,213684287,482293317,581791387,713828944,409982731,250816711,-1,736421650,-1,907616183,861689435,-1,9190587,-1,-1,-1,402160858,-1,-1,812068850,199365684,494177403,600584083,-1,825934595,600395559,658293517,844488419,833611495,902144810,260192980,727797161,82707339,-1,848271912,67804780,-1,821960476,204698489,130898789,399660450,550428406,229317835,-1,-1,129851346,29938517,855086071,405951632,-1,887967595,-1,531036034,803773034,635330676,263442433,-1,38702964,269218547,-1,662830048,2447991,944459724,670510762,171619844,-1,776402952,667348485,573679498,747022008,258288469,678671709,62582903,60246533,221276174,456761918,-1,-1,566958029,-1,-1,-1,795419459,-1,-1,647754347,-1,727385175,831602995,177060254,908776535,85459828,767216417,501594188,-1,562484570,217103744,298009216,119556788,-1,702147945,903261700,870272961,87184023,176812206,542624942,173663131,879067089,888439205,444982303,720967576,209668013,613538463,567136740,-1,798996657,356562084,-1,581721032,-1,874995813,336210246,552148696,195630410,248008757,580030763,564627851,102243687,-1,168663486,592791095,-1,754524660,897495437,915173528,-1,841906980,289022533,-1,-1,325122728,-1,39517759,-1,509475143,89902263,946291191,162485285,-1,154648049,718123576,40851859,222991205,754797107,814638920,791836048,-1,718529074,-1,-1,-1,-1,671279786,355333251,234166888,204451614,975372961,776508455,750728789,761834930,-1,776223192,-1,286775717,-1,-1,218381756,940540594,918596740,796923167,-1,775507161,-1,905516239,695992720,237761271,138433910,212890565,-1,484136979,-1,-1,126963294,796703642,403920499,367105627,-1,42220309,863964574,61007948,-1,548558832,-1,991207420,-1,681408862,588265477,-1,40055666,449116096,393279420,71147556,860214558,136458694,-1,479507046,-1,-1,-1,41763725,-1,-1,-1,470555177,270531288,294037445,775459491,-1,167734122,480078083,343296007,108742787,-1,402686132,159741837,521487582,-1,179053729,447597991,-1,408544370,639140164,-1,-1,-1,513069186,561068481,-1,-1,920939289,-1,532999010,259989012,370610557,149738729,622910728,863830111,-1,-1,876707947,-1,223215740,838417199,759936338,990376914,-1,457811870,-1,-1,506544949,-1,299462644,119792544,798110333,243756691,268043729,865090075,860558032,-1,-1,699670776,839876614,-1,313506829,-1,360211497,-1,658819553,-1,570832064,471812512,497467218,630203516,656909240,973570500,-1,616538289,584896942,842627836,294425661,698597453,937595747,949965959,78455645,323418984,981847085,-1,837060522,697283998,-1,72239774,-1,532917207,26959612,79101557,979198214,-1,-1,-1,351311435,789651370,344061380,-1,-1,864234604,380413382,312189452,181993184,84352344,-1,561987965,472004210,-1,5021979,-1,453859840,-1,112847553,994074927,656379559,-1,-1,-1,882418523,928647561,392133530,53990290,-1,712619449,367085276,72979478,777209302,-1,737812554,900635721,44339909,98581110,47881679,-1,13217915,726077559,-1,896064143,911282794,96279474,16634182,-1,1415720,501940803,-1,-1,531336306,830225318,-1,406101420,931503176,-1,53583122,-1,6114869,493494088,933179494,705563462,-1,33510086,50335518,747354755,268082321,42630970,-1,174898741,918819374,-1,-1,562081770,550102337,800493323,519223633,861372649,295699543,-1,294636310,310750262,-1,66211296,-1,-1,196010026,465351273,57789261,-1,760975155,751729857,737453530,241516465,-1,865378941,153615750,909725158,243763065,435328777,504106694,472916116,945230777,-1,342009591,820574994,-1,283268564,966775732,348795152,210708363,246075671,546318255,649423569,-1,862857891,-1,214748795,532226461,-1,968735908,579850387,-1,758735689,-1,-1,-1,126072148,302186940,760529697,-1,-1,647169029,-1,-1,495187680,501757490,384795785,221593239,454656695,992229309,269167619,631713721,705751960,-1,710583798,-1,860676054,219701001,690995723,853700811,531209733,507202585,335042972,706223165,295151039,-1,844692295,947411625,527061441,342960869,-1,891907846,-1,178778,544977202,-1,123695012,384995359,950172061,-1,706919758,-1,-1,-1,738555229,105341124,436256789,539680751,-1,854278365,981051687,-1,44755661,160022542,298350926,-1,170734305,295653284,280183675,687978892,-1,-1,360770830,269632956,776547827,-1,511591289,41937988,224094024,385061053,47039958,541289668,914366612,723862001,801280172,307765510,-1,-1,-1,-1,254508712,-1,-1,576455008,-1,140855770,756956847,910743440,-1,196261591,779205792,-1,417196559,710284626,852186792,826589408,-1,-1,999573122,-1,633912736,966970545,-1,-1,-1,-1,-1,493333924,788784607,185020953,989546315,649394193,-1,-1,-1,-1,333849370,40018691,522315937,-1,-1,760771472,-1,-1,139381045,-1,228860907,-1,238592113,-1,-1,551472859,-1,538950504,-1,635017184,-1,768609143,-1,-1,-1,327238218,982051711,-1,611996786,77356381,751927921,358221965,155286043,901717238,717312587,193190462,-1,198711439,916923505,6115603,3930579,702865929,427471417,540686474,468195459,-1,-1,369021604,-1,695356823,-1,89883352,-1,229772890,-1,-1,-1,653665677,938757717,-1,499313782,466344611,716251716,799170595,393195774,676386777,955061248,672111858,971434633,197609987,-1,-1,-1,-1,-1,959534509,352612575,340581182,506736699,682140839,954739617,313355427,-1,-1,608838565,-1,698035701,-1,437997236,613622226,576530421,249053328,505488276,-1,-1,266375279,242280161,228278318,772541137,402288794,-1,428678350,-1,266625409,598461729,8434143,964406376,-1,-1,355115240,426937385,25495510,-1,-1,89289813,-1,902663848,768270153,-1,359573780,-1,571362064,132999779,872876914,967296785,271015404,-1,44507376,122979081,-1,168517556,95408400,335478472,665709592,64568528,432645270,-1,693754021,-1,220123508,232127364,780013729,801827089,-1,326713910,53866406,351793103,984169299,192708050,218369148,-1,-1,-1,490298017,-1,909961570,433318256,715333795,117674446,759266763,103164276,572871404,-1,-1,791761932,664787007,962759579,676379808,932729808,-1,-1,-1,352560162,664802875,-1,-1,189513222,75815587,126262739,589200389,921744259,-1,-1,-1,538445427,175078032,964827366,-1,-1,611560287,-1,315424503,448346089,-1,131896115,34215663,420336924,506735320,921804837,949681039,362863529,291268402,629226823,490951853,934195301,217331596,488652879,-1,-1,511534507,9550094,-1,-1,207049485,597374197,-1,962547360,378973907,458856769,-1,352669588,158536090,308196921,23749714,93879502,77714460,-1,524399202,-1,234276152,-1,55823784,-1,-1,-1,606011069,758454975,822165114,188622936,-1,697626530,582671849,464964491,123391134,75371159,423475999,391083328,539190293,319120347,735319125,438940870,687974763,744861838,700891501,356352931,966617588,26109708,914303612,281393727,181914018,940836153,-1,19366883,746672756,-1,497618009,130500140,400428995,625057144,-1,688079094,559919535,255754237,397424213,62414551,-1,-1,620778270,-1,958153262,-1,169777103,-1,-1,647875668,238946860,573418467,929511995,870586662,219970641,-1,-1,-1,-1,58536162,818232969,501509171,949180274,-1,129166508,793013030,539814792,-1,737486073,235129985,971345510,210214914,-1,879077342,701028036,-1,912564012,747086383,-1,404168324,572918641,33828902,895582311,170763697,127385307,680795039,-1,151834981,71628272,-1,-1,-1,-1,811802408,-1,287625413,615215028,822262667,942397741,380156531,378582596,-1,72382100,683294938,805609867,170541050,905771294,-1,-1,-1,159271118,494918935,392536397,352790840,655499393,918858048,893573398,-1,448465371,81361412,879714445,118756167,428195891,602188364,-1,-1,303300102,-1,-1,881247636,26466679,684440655,63604415,478932558,629183348,935065527,-1,205261841,659388983,-1,895874642,163347237,618167213,966570237,-1,536676100,881130726,847040525,665543593,305159310,-1,-1,620346924,947155773,-1,-1,905963745,270977961,588904335,517898758,685016661,868227371,532382456,-1,-1,525808916,455926976,422061172,-1,68297993,-1,313516841,557621053,564635633,952888890,793004334,791144353,930562031,357347499,936148261,455671317,573168813,104383978,283776766,838129341,841012928,399494496,-1,783002798,46680378,960848709,946518814,-1,921176939,627975961,-1,70133462,270298690,558614323,798682859,5421942,853197912,953012593,940239903,-1,390914666,-1,542700989,-1,755944955,639463093,214879364,-1,-1,852801106,691942337,624691999,349399681,808912473,-1,-1,189138263,368192778,575628372,444935311,-1,-1,556176277,777999217,-1,912905406,159496550,725713815,-1,-1,-1,-1,635391950,70128150,-1,845607335,-1,862113437,837230498,434110837,885878486,-1,937483368,964751063,-1,367481529,-1,734069264,-1,551633204,593596185,225815611,170175776,936487608,-1,60959824,-1,41916609,965920358,-1,289212570,81483847,391325939,130397865,-1,-1,-1,-1,370607935,777171625,690506137,122527307,622670691,-1,321929253,628847928,975329441,219510289,615593391,49296670,72166668,-1,-1,43809371,635124862,132748539,-1,583362565,692725719,915266629,371524799,95529478,477758596,159839069,936567355,40392502,885887106,408291470,621356591,-1,848023233,-1,-1,784953033,894758256,323300067,-1,461450831,-1,212910178,605474277,-1,255155239,649402231,704275939,-1,177616506,-1,-1,792530595,153482240,925931694,666406064,332408059,478724665,-1,292915606,258482491,20378782,565292476,14875247,829311099,422337034,362745798,-1,-1,353958359,36608956,545503026,675869711,-1,-1,754236157,71116182,84430088,365779312,-1,-1,794636634,-1,-1,872722585,820962097,-1,260801453,751796124,99719472,340153478,913829212,-1,386577303,39169700,454977777,-1,40324175,833644772,835708181,688209006,-1,490908652,-1,415948610,656089831,228153483,-1,157363238,788908587,-1,385321394,438182319,399448939,428553720,-1,303695234,340539966,88814377,660966691,-1,285017770,-1,-1,-1,-1,59090553,790503462,337832949,-1,672531022,-1,311748514,463007905,-1,802968247,293089837,-1,445781509,172984933,-1,954155823,-1,-1,901911909,539452513,-1,-1,-1,293170349,805642436,959133830,443783255,347092999,-1,-1,690390264,46344915,-1,903425837,725043652,143579311,703550129,369796123,-1,924687977,871352691,125750282,663446187,44977415,412119310,-1,-1,752358225,-1,512128549,31019556,-1,695350114,-1,331912225,166521379,140083924,-1,-1,148151644,570191366,411939391,501654447,976171785,932913743,692322658,-1,-1,484811847,20580055,-1,-1,455286414,404022737,744580696,212980718,-1,423322779,-1,425056841,-1,792891777,710773105,346034832,560457973,-1,860375972,310220079,577907311,320173974,828421852,808998143,904947413,-1,279449237,568276268,970666914,374254489,95844357,87662657,490766444,-1,260359014,338267575,-1,-1,544478310,-1,401344618,751190459,919202212,181492524,711297872,-1,-1,157978441,-1,360543674,-1,828269407,104290139,960056787,706194311,968943668,891209845,164425862,618889082,827701745,593386602,605266016,68860790,-1,56482860,-1,-1,295510473,782192547,165922938,-1,788502150,-1,697104979,115747276,-1,385052760,24052357,-1,57972498,641293014,35192153,-1,-1,510325057,-1,578486296,798623240,979786591,309548403,356455092,401733004,-1,597716285,396893435,579820068,166698607,-1,478553296,308070739,-1,298333802,524528378,878840533,-1,49027377,-1,-1,522374927,217174126,695485529,766085112,-1,488328067,736110913,444384563,771810178,423504981,477787542,265267689,-1,-1,769273791,381974885,-1,384543632,-1,171634673,204989117,-1,464717366,982469387,-1,374183074,226163791,894387146,-1,412476136,884029919,-1,82595632,1419761,352918008,766060824,125288665,105926725,747308504,228372657,-1,215314250,103338297,18140506,932800348,753761349,-1,-1,408432881,971906988,878065974,868283955,643535012,590838664,591876425,430155718,-1,406846057,55340733,904597035,472116625,295484932,-1,313510784,39227593,207583340,-1,-1,-1,491598243,451172976,17227954,-1,-1,-1,-1,-1,74225821,143349397,961710037,115073365,-1,287900058,217795328,-1,782688555,970528356,927008881,987002637,881837098,874403584,15760979,85867160,382484265,242156571,975032690,282877128,617886972,311298037,229471044,-1,581715847,674292359,855590475,357778391,620927827,952619266,601924397,401318079,772302685,494910589,-1,209462031,-1,-1,-1,803589303,959021741,-1,-1,32215950,-1,-1,-1,424528955,568243264,-1,-1,-1,665504134,-1,-1,643202638,685398732,803066504,54674055,321336098,760636000,746671270,14382120,532759634,733931668,155646717,237790882,90648173,736294281,-1,551323883,-1,-1,565706957,881698771,-1,780856838,318507371,380972588,709931203,-1,955539126,599715860,-1,226916760,893324045,798166785,-1,664980617,328586180,275128580,744003666,-1,-1,713571954,-1,-1,140709105,884402529,573201463,606364600,262529089,-1,-1,177123364,454332992,952042486,-1,402737758,690071679,-1,986880535,455782157,-1,-1,-1,-1,-1,90870239,515217820,-1,935485273,728905811,-1,-1,804445561,-1,506683519,639965650,-1,247436699,579248704,497365527,804592916,798682253,849700880,-1,305651828,703007658,661860400,827261459,38053893,305742405,-1,-1,251124943,-1,-1,706411791,-1,-1,-1,826510156,513561147,707405775,788646155,962039554,669890491,616061649,832095418,-1,577673741,340386362,721563965,499445671,250301103,-1,561355483,699167785,-1,-1,-1,278822864,-1,371193129,694437542,-1,879827345,86912959,-1,645734247,124568481,148973677,641779420,-1,-1,133472476,513523189,-1,995228771,-1,-1,346672150,610376652,-1,4031110,458424209,326295261,380847132,493448295,731576157,-1,119834941,387679391,-1,293658052,708988406,741434456,387636865,46876670,392248640,815801430,719980988,769418673,-1,553642209,377583224,-1,-1,674488819,-1,921798602,21273420,-1,16035915,767045850,713704225,217855244,457688319,-1,344727911,918322654,618380078,193488834,-1,579892962,429646587,-1,-1,98838121,-1,-1,-1,567513554,929755816,368303612,210584936,180702552,264600608,127615770,821553629,-1,-1,-1,984843395,628457910,406271059,990858456,946776942,920663843,-1,515243291,384694665,790678706,737181698,-1,467812292,767758333,108117152,619616609,-1,894862678,-1,-1,604568006,483466959,723983480,608602671,819739237,-1,139829317,-1,883228366,632664964,2866807,561631054,-1,119584938,442762097,-1,-1,221370860,400788322,380148316,583053099,-1,709795368,-1,626144345,506574475,-1,755700588,56017908,738353117,-1,-1,402399596,-1,343887341,-1,197167321,-1,118743067,-1,629947242,532086841,878343997,-1,150319933,951452814,-1,187030293,572461309,944405954,-1,707668981,229234329,798026506,-1,-1,357576769,226374478,906724727,443082088,784519064,832279748,527064411,880471957,591584031,396474040,-1,-1,700425441,975908624,238729748,652056934,256974040,-1,853722067,50320869,-1,38561165,-1,29329375,26208552,847937494,431420186,-1,-1,285510905,933353785,-1,968972557,-1,736259938,-1,603795748,603826633,710000607,436931265,-1,-1,800597608,-1,117974564,-1,536543405,13175037,-1,908352141,-1,674329327,935137049,258245378,248072218,903014671,480985804,353911824,485473748,526791631,428275137,-1,-1,401098457,-1,739307050,-1,903765445,-1,228464169,-1,665516778,663290835,772092651,-1,-1,548533225,921899298,282265795,259293968,-1,-1,847444472,476063272,311878302,964793500,459138693,545420298,-1,526138493,880975960,407214999,-1,801389050,980221517,-1,387916974,444128861,829057709,921875681,403969534,577963166,750275691,953735633,-1,-1,906433028,-1,374970945,-1,-1,540099062,466967344,-1,766018872,-1,203868590,711596290,241623489,-1,-1,-1,967587901,425424658,885140528,614456591,671993075,-1,80385373,517870409,691136334,-1,-1,357426788,-1,-1,784891887,4483329,517017024,634785035,893949017,952717883,37777291,957951226,780667779,606081786,689790933,316885861,90729212,51408359,-1,-1,741444866,19858937,968771251,-1,-1,502467566,389359547,-1,481042022,881269216,994592861,962085193,290517740,-1,634059443,114004421,-1,324928003,630615910,-1,363685244,504073733,173719138,315863714,349032076,816925681,197835105,-1,-1,-1,512993537,-1,445585040,365647162,-1,-1,693639558,54824779,937937176,450530108,-1,902345653,389118640,548677312,316260137,885627456,-1,468327338,-1,385846294,491688952,738123441,178737197,468155533,699029148,127084283,-1,579115012,864390147,-1,155519961,719245457,72411719,635097445,499115765,166033195,-1,-1,62444349,104319514,376523764,252085527,558589222,793359874,-1,-1,865197965,-1,-1,312768232,695024309,157723276,633177926,918192056,466934287,-1,20761363,816965384,349793353,981255067,-1,584808445,657437839,197965210,89345957,892907549,938433166,301357165,139228434,-1,-1,70389260,165802153,173747083,476215063,658474038,-1,172121710,591520951,624665372,731207262,516182569,628797059,-1,950020493,-1,406171852,876004946,-1,479220878,619754041,37614811,735470160,73499272,931141479,328543485,285959102,589373285,393406654,676760108,-1,-1,-1,-1,-1,625496459,117357956,242243972,-1,-1,863416619,920344041,528622043,911723719,986752994,754073240,212471755,85316013,401244478,152821698,-1,-1,260737492,427521800,-1,42796682,707216541,357816992,585334085,328277525,51796605,224005305,272518877,343991310,116889674,412598969,385668899,766999884,59390641,-1,637155155,654408230,-1,945017420,693363241,681180047,621782183,649831374,817232375,171938888,575995981,471549196,-1,22369149,262388754,-1,141007194,837105182,529664508,-1,679132181,613325317,121741971,280983037,107720071,284654022,231666368,496686806,28205328,912948390,659823864,333103456,-1,87102108,-1,137048457,861106666,898716611,-1,864492390,-1,321234883,387385884,69776271,-1,661323068,895058165,542835836,472278148,878130841,-1,743859250,539532751,643749360,431520813,132860330,315654661,831911797,-1,80418504,-1,503182016,-1,-1,-1,395395763,-1,611539802,67481574,998367270,177081184,-1,206364934,740396183,-1,-1,-1,233481382,-1,261576227,268513110,847009874,350767201,517061380,518512414,665441236,67265320,751200261,-1,-1,407782787,882941360,-1,514588091,788626573,278017224,-1,46801880,754986552,158351349,-1,583886855,63040629,-1,-1,869661293,-1,-1,381667241,-1,609807900,-1,910933763,752185094,784627424,-1,96775842,524996683,549831530,778461350,-1,-1,185956400,-1,120590494,134946769,410399430,-1,-1,946937760,354930561,-1,-1,-1,638049263,444487966,17759030,784785445,-1,-1,-1,397404948,-1,544049940,-1,-1,-1,530108114,544811589,260123265,380597319,-1,724733505,518039173,-1,933736647,-1,-1,36156614,161132787,787406472,926369793,870255197,-1,-1,373951810,-1,-1,674730120,292544102,859146715,-1,759785146,-1,860364457,115896768,376711420,-1,676720949,646935140,-1,310728431,350663552,962858656,562382714,526544176,-1,141137425,-1,442495519,956711728,-1,787336337,470503522,87672675,-1,248574534,93009991,289763609,701909316,918957064,780234982,35065192,818737377,11633467,483514182,510601924,25962037,174808664,63815773,143224236,304085051,589221079,835107652,72499894,-1,659936197,491163331,-1,31942793,-1,203363686,281006048,559222631,464579466,191292113,-1,-1,782138995,887679524,985252803,-1,831246624,808529418,608089958,993560204,759432202,735708213,-1,-1,242173325,946005440,703494224,476955750,949071424,476720047,-1,-1,-1,812466860,-1,930886155,-1,280922476,291769640,151445284,825598855,244495802,-1,497329424,-1,-1,532468523,946161725,597791986,787519448,540634927,-1,178450726,-1,972140002,134812397,-1,227965140,-1,888982041,701978689,122302268,-1,661746269,272243005,837971286,775450939,-1,145889421,442736816,-1,421691625,111539437,-1,-1,-1,739818259,790341746,865432981,596444097,647990695,799952170,2634904,90968139,-1,335683855,-1,400692999,474941034,-1,717394714,120763391,-1,-1,-1,455405924,549061493,-1,49018198,742671774,-1,521862759,792268081,494049002,477743861,126639116,-1,199837302,891274320,-1,899109022,83291099,654942110,550518248,505935153,400259929,52561531,982525694,411044937,468659041,303667773,695424271,-1,-1,760607154,448989497,-1,292866672,261269317,496824596,331922550,21986165,-1,378200594,470979331,-1,701693169,417045829,955045159,622767734,192042832,6421337,-1,496796682,587247181,-1,901841394,718634498,187527228,-1,-1,-1,-1,-1,178712475,-1,583643132,849747346,627148374,-1,423713554,-1,695656938,-1,79205284,840882197,786434858,255284431,839948595,497587811,374713651,783725184,418604497,815948452,-1,465643444,714519766,339815300,-1,259798539,733385113,-1,671192109,597374413,652810718,796392440,618826851,-1,826918889,493285665,880944779,365898725,347035165,189116719,937647095,617391872,133142475,472204689,652755067,-1,51536834,-1,-1,715827111,831179991,366990792,-1,-1,-1,273459559,33875664,841652414,773297895,-1,-1,-1,552322079,589876231,523345216,955639869,496741677,222053059,551517521,752770056,137384170,418748961,512098694,3200413,476744897,-1,354171296,647925763,562076558,504235622,-1,290881141,166179221,-1,-1,-1,847084304,-1,-1,325326801,921468015,268095085,-1,-1,857199347,659720405,339653588,56727746,385752097,696201196,958974767,389073129,-1,259849926,-1,909023396,-1,956503932,-1,-1,-1,111064128,-1,654129970,462637906,70311643,-1,66119926,507852545,166331450,-1,-1,491072991,120402200,569731700,894665915,-1,-1,-1,802193133,203353335,-1,-1,359140793,638065295,-1,378882492,152207546,-1,803187178,731175468,510337076,-1,-1,760842195,-1,369192496,337043643,336130157,218681871,949465153,-1,442072451,481106428,-1,-1,226239119,-1,-1,-1,353234848,-1,300590038,112316201,947467157,-1,92283118,902363411,909504794,577878172,-1,-1,-1,-1,722247686,91729611,153569256,-1,91599198,-1,261731841,-1,389420701,603095927,-1,63391114,-1,522805611,-1,-1,-1,954015691,822314329,-1,434479867,-1,718912680,626623365,-1,-1,-1,227347978,-1,-1,714381011,730423341,572330852,389171296,446707024,592199520,728413080,-1,-1,649701237,651683162,557654235,1782723,129909207,917805522,-1,-1,551900862,-1,753543128,834811820,-1,381078507,-1,688322635,-1,343584872,620587546,840471818,137517305,-1,-1,-1,640763486,-1,153978784,442280342,534780019,793223175,206833205,803126489,604835269,784043109,-1,-1,711917477,-1,-1,450387374,801694956,327668238,667359306,927342196,645398274,-1,-1,681090546,242497657,653289735,-1,-1,-1,467013917,683276977,193637496,-1,407886496,211146961,-1,364180392,117436048,673060305,529252698,-1,-1,543655700,-1,204660801,618811384,427575762,140658629,-1,890999794,740715009,519009395,891058078,-1,299360495,-1,785150410,773259298,433173368,-1,440132059,693894777,297562255,-1,606702833,-1,226698003,-1,345499953,953505193,-1,466646080,742366738,315851242,-1,-1,-1,506946429,-1,717970188,514844335,594794080,424230350,-1,736232440,-1,560291819,72424343,-1,842402883,298971270,609481678,-1,587815809,-1,790493242,444463858,16785077,-1,614888162,-1,609287643,373084434,909181496,802436833,360770255,359079180,611525725,-1,349665876,-1,163095855,952549503,505764973,945739181,-1,913049034,233965638,-1,-1,977126170,89048267,299614496,986711317,929273326,-1,106336417,86635204,627519938,141406392,-1,754324102,-1,753399494,239109218,472069039,255155896,228283222,-1,801081189,172351651,-1,-1,-1,522953636,575062852,945710552,-1,-1,-1,229195512,466721798,856378044,987354425,-1,186277797,-1,433106644,387400057,409595721,494012756,930663232,533200187,-1,825259093,-1,-1,489529531,35647130,164053862,-1,115903082,344969028,411460180,-1,349213108,-1,528858578,141695035,184690501,-1,746434728,2878424,643300963,123173510,-1,-1,850687772,748455441,665322912,349166013,151866507,-1,-1,506089172,-1,646876447,-1,778182184,720534494,585762687,879802957,790691197,-1,-1,-1,976791684,260333664,-1,398949707,532943707,-1,547878541,-1,351962205,644042338,758361816,328103378,541770229,-1,687400469,34930135,694696663,46470178,712079996,630272437,571415404,889874679,749803285,494487134,810006200,902320478,-1,176094056,359996482,326992038,865827471,-1,257277285,-1,394998325,485947749,324842844,-1,488979872,-1,-1,327556826,392192962,909485217,-1,116963372,388471101,-1,-1,-1,500298949,-1,757456597,159311631,-1,-1,855410258,-1,682287332,973606615,-1,531159342,97256549,577984623,-1,236185785,803729119,377475859,465373961,-1,562589767,895755723,874985476,632946876,95800338,-1,-1,-1,-1,-1,-1,957289331,-1,524474572,704761143,591713601,-1,965669856,140117002,311202510,304343938,989739591,-1,265102463,661267861,266768389,716826837,659233466,356155057,790409442,13580890,-1,704940156,206886545,125028326,445728811,190055065,959242780,604889354,948783950,926162988,-1,-1,-1,60005855,298551913,12369046,719536973,248069469,336531933,-1,665592024,870430645,596235347,-1,-1,247125585,-1,681125352,-1,419432303,280304993,657859127,577857796,72061220,741821979,928053127,721338112,-1,-1,174350016,440998472,531325402,224795304,519671426,736504081,353238499,-1,964426211,-1,85413270,691620232,-1,665132441,-1,479946406,-1,-1,212948251,-1,-1,753023772,527511674,-1,-1,-1,-1,-1,158716274,934157249,20468915,-1,191023397,889035690,-1,731316228,824194895,762984641,82317058,862577641,515053719,-1,785403891,161235279,840113753,764103670,226957029,607963757,830123422,447450699,75797303,-1,522831355,486537493,78690293,293301180,7874846,417561948,178602405,709611480,-1,42388029,437684435,277010115,154101251,886325524,715440653,93075552,-1,-1,542732685,-1,545174021,552391718,-1,244030945,785558790,-1,-1,37853555,976909639,-1,767991069,221168690,479294406,835045261,134687146,-1,538038721,195277389,630375973,-1,686197079,-1,611334675,463425734,-1,481655996,-1,-1,650154004,547011335,953948327,329600897,475966533,-1,-1,422868337,598807113,470672564,445588231,15078250,-1,806234918,462881214,251926218,200085569,227437043,-1,-1,-1,349570695,465524148,632266634,274457104,-1,-1,-1,430872403,894071893,806187585,-1,864199489,653926536,561852551,789156289,334296910,725799144,746945111,-1,-1,-1,383300457,669089310,540286661,569424791,650810423,399102588,-1,276362868,385136131,-1,584426189,304411779,598590656,440577394,263158600,-1,635011510,181892756,377638249,945718187,-1,124287913,-1,114207364,625205007,197552338,175654862,104862010,-1,-1,452384883,100566043,-1,699975105,142130064,-1,132606201,841399664,714874907,990394862,714182000,78715890,736845829,696484375,726929792,787683062,637005161,857475178,156871533,582495693,-1,-1,-1,574217580,691938343,-1,855621634,483994479,296399030,505540335,-1,43377204,917070462,895039073,645525420,-1,-1,485430328,764122018,953589819,964269367,-1,331373414,170319841,220705412,803775461,-1,-1,793703862,-1,709271850,-1,-1,-1,-1,544388535,745070970,374858624,669374946,-1,-1,343143500,389151537,-1,416359388,186770085,244419082,341942622,572072233,894626634,966553749,968727183,578417153,-1,8745446,974211111,976420233,-1,431971819,24964124,404526205,-1,-1,-1,390656353,742475423,999037680,834612307,-1,331473864,262734336,838542017,-1,729338016,98068481,-1,-1,-1,491524794,160019923,-1,-1,815487703,184626034,-1,140786020,987093081,504548826,399501889,421287629,213774633,117919797,118658462,-1,883897396,-1,559073586,739537054,897595615,-1,612687845,355151090,-1,179751379,-1,293892381,345283184,-1,-1,693972553,-1,-1,923901862,-1,78446065,203554059,678654656,475475356,529980405,-1,-1,297032404,-1,192513012,501027316,655635337,834920419,-1,637076763,937134803,167930133,-1,853716281,-1,90448590,886606614,312354494,105638468,649467782,936849616,516421884,491737514,301370333,-1,-1,-1,-1,-1,304557671,343631026,-1,927998428,178203531,630513571,-1,654320974,421500042,664302783,856437916,831675664,844808134,456173464,860402036,438853701,191511109,776349646,237959579,876294241,797372862,350795329,886952122,92588595,33052007,948927517,-1,-1,919391924,936073388,846832990,-1,-1,861809817,994244994,936381899,-1,962111173,-1,402624141,907384991,308718716,-1,9886920,564598904,723194667,362000233,372638767,531652533,240801773,-1,928494269,-1,-1,268406864,-1,773536602,795798703,-1,234974516,-1,626235908,920223906,577519596,545760936,721145793,-1,818254495,-1,443518042,-1,-1,-1,222219148,30759707,776170456,914275121,434052511,101801159,810168617,424204920,-1,522642407,-1,-1,349168640,933857381,-1,-1,127918899,42080126,-1,192557497,496083564,-1,-1,-1,-1,30303244,230316724,84326747,205432507,550232441,962055656,250638634,329342119,438764466,253442950,51278549,-1,282874206,-1,772897095,200697105,186927981,195057177,748498243,725591029,486207383,-1,921304466,-1,-1,385883370,640207990,548779698,-1,377772197,827545646,-1,980071134,-1,176206624,550405782,-1,758468308,633517791,981930134,259837345,702008269,201427989,520893804,253165605,240506342,687129182,-1,382144766,134818455,-1,679687064,158043291,436083052,366539979,8890965,-1,-1,676822951,725427562,560070315,-1,674208145,304134504,-1,80128693,21495734,60369667,30090685,103839800,572912,879381011,-1,997772947,-1,206746882,155845254,726078515,197273842,-1,-1,891907112,894099119,-1,-1,-1,641403090,448418338,904967673,502370333,870204053,-1,989796404,249808332,-1,626783578,451341761,772824386,71731159,241961383,-1,433094373,579473810,194730556,864496952,758444371,322773801,270954745,601068283,533288697,776930935,487089386,466993828,1983702,288070128,931892173,683676197,844028337,737684872,865249836,170179751,378648156,684684177,496003643,84911927,946501264,129309620,-1,756282467,52338791,-1,376567150,310626230,-1,719200406,375655466,-1,-1,870978475,-1,684776098,353014486,875754025,636155318,113199145,157016655,518705232,422593211,-1,-1,777542949,-1,412375130,471728860,873532138,-1,381727276,794462129,100339952,76434080,366061872,252882604,717098112,683668367,32193323,120946059,-1,781172934,295831339,107584357,263801876,-1,-1,575959269,159339784,196372831,598705289,513450371,-1,-1,-1,68490587,196935696,-1,521182764,310416253,678203657,324647710,473629672,494917433,602174032,855938200,995943508,550008358,563396961,349607986,-1,684303288,48640228,-1,179348371,957670386,365489048,-1,966779552,943686451,111755357,-1,801027466,537581380,-1,-1,736872908,736444317,307530984,933501248,629828363,835774686,837997638,669528089,723712862,478808348,-1,-1,65589804,-1,891697341,783130354,991106263,549875759,993141137,-1,886733563,-1,274000179,205110977,854570974,173374407,721129333,775683118,-1,462775368,967325905,20378296,621243391,-1,-1,544743206,573673364,-1,369039699,137987208,127742230,-1,21602149,-1,-1,323071564,-1,-1,311928116,-1,732700295,800741117,463720721,250403924,631044790,350775677,-1,140047568,537865473,698855291,6786769,405264064,945770076,745823732,640401757,943997250,213290057,45760695,-1,628381506,240335026,-1,-1,190344903,99610803,-1,821437116,16027399,874438907,982813379,360592892,-1,783916106,585870308,-1,27883502,768454832,508439144,496347762,623889785,660449017,-1,296113514,822511564,739295118,-1,-1,-1,-1,633457230,-1,882699986,95247273,29660723,850353982,144687101,642548443,82483636,-1,-1,694452543,215963856,398186266,-1,431610761,-1,-1,155389991,347211071,-1,-1,935763941,-1,202181609,-1,291985659,-1,946557824,795308165,856182533,-1,115757835,37538552,-1,512548597,-1,856391371,346510645,-1,901337441,221627248,-1,904801947,11565980,583958880,210408151,429768993,4644075,561438761,227637585,118346340,309987948,642136052,240611734,889168620,509787767,979813078,-1,347633742,898420816,686691193,920690391,685099092,189582109,405027349,609066990,825622644,367664593,612397949,107165872,684051209,-1,704675208,-1,-1,343876843,-1,515135693,-1,949459240,-1,-1,-1,462977958,676157694,756312121,538436540,13904870,338136449,768076207,-1,499759479,-1,231462215,-1,738269811,912602837,-1,965626516,385248081,163705510,604138864,-1,642564601,338941709,607490849,471176862,262782597,374001206,584359262,-1,-1,435617438,366590031,-1,270454115,345722272,131128210,814580054,398790999,180162842,111670295,798682709,834309709,562539638,-1,-1,264602065,-1,519521533,-1,71137340,663663036,146511698,216879462,110440006,239596070,547601496,-1,-1,426346055,114707976,103878992,863344915,980545583,358105258,648278413,-1,35801094,912853132,-1,-1,790673404,904151319,190373957,-1,941299571,844559097,-1,-1,-1,768160123,411908165,573696028,789255277,-1,301230610,-1,101930377,-1,256796593,377940319,273575030,-1,310783655,-1,834093706,17818854,148122509,481549673,26673174,280358131,78042099,698325473,-1,-1,-1,202264636,827312459,-1,904313451,588756065,586182351,298284937,876126339,351790280,634742208,312687173,-1,577681310,733148139,277285725,507299709,-1,304516931,604047680,-1,561969286,343896216,404820684,254788961,792950688,786908367,900265575,103100177,-1,163980619,694158548,-1,255232589,51058792,246345729,732491235,273164081,180065781,124072590,-1,541620809,-1,-1,128190184,-1,-1,-1,-1,-1,-1,-1,835727169,254281161,181871884,372912232,212694747,-1,685749262,505072617,-1,594287935,795812592,326603251,975853227,193100707,133981447,597746248,476066596,530106815,595219011,-1,412714055,727902731,498817350,800440905,81986237,-1,188258721,-1,-1,-1,793472036,852155190,244763421,877036879,467880433,24380499,-1,388315544,-1,667579797,-1,-1,621790158,-1,988238086,142288484,-1,-1,175177029,249341834,120818867,-1,49875995,228994428,313577736,-1,884192583,-1,899502008,65775506,-1,277833095,746691095,414048211,162450219,151855888,631159831,434815846,905103469,529215300,459478713,504916348,-1,-1,-1,-1,616324183,-1,-1,151802165,-1,985291911,-1,484358315,454116913,797606078,833638895,-1,-1,379443963,563897533,921226699,630490384,-1,-1,391876690,646503540,375172830,793132712,-1,889828629,225492963,614177681,757663178,187261482,918212642,912362334,670925711,728701478,-1,-1,384547358,255151301,962024982,955316558,147532472,-1,665435264,733780486,489876798,145222291,-1,-1,-1,-1,113839338,498939176,569474998,463500894,414267770,-1,-1,354844068,-1,663676126,981294466,334397332,609291164,325234717,586895368,946938195,377863033,129480402,329843640,-1,358541767,752060040,896931831,723147269,443393012,-1,275965884,373204733,528893344,979710747,-1,847153717,885479060,487933905,-1,777120470,260411430,-1,498654339,404041689,831298541,491256048,761855193,719980477,582980266,-1,180018881,941425403,562894912,-1,823240411,-1,231155139,187338849,-1,473858056,-1,-1,823453534,753618404,513274332,601599158,15010816,848280300,275959468,431771546,887989442,244623482,906228618,-1,92052805,-1,532468499,392666954,600587729,482563792,-1,-1,229740842,-1,-1,601685408,715720158,-1,233223772,93991251,173033015,880726971,-1,436587791,-1,625387954,73133662,-1,998138374,619135503,634111108,861467079,-1,227418358,346655047,571485576,-1,-1,-1,-1,763566305,-1,584607111,439496890,412220503,-1,476576815,-1,119587213,55739728,647564807,404462514,889271426,719903232,516042249,850290038,128559338,943121425,45514871,-1,171931399,346535592,261212540,671955320,253827168,504307026,-1,-1,-1,396960583,-1,750450181,-1,534214393,513123160,481547408,-1,705576978,356806489,200631102,138674144,-1,-1,278601256,694353422,-1,793251343,790037437,989589153,-1,368066728,-1,7569645,-1,310157463,-1,935451098,-1,766102243,-1,859822056,99495207,-1,-1,-1,109230734,865591894,315648206,-1,714314900,447094750,988894885,624523302,918697626,441143431,638268407,110673725,930304495,556328165,717562496,-1,597288786,85350999,759362161,28286943,-1,748316675,-1,644444479,704680056,909976811,917489824,655270023,-1,93578954,189668739,441958166,381588015,15290861,228029824,-1,-1,-1,123776501,15808316,116884439,-1,347189498,303939084,960519369,520928011,60952005,881631869,468647637,962000140,290630008,119499981,496107832,351502180,375321567,-1,612549072,359820692,799376802,205315855,79774510,752612681,-1,78904219,-1,806467633,-1,841509106,678713714,981353897,759778202,650430665,19760387,25169800,896267575,827519487,-1,342600883,-1,-1,857510412,35650033,461897721,31014508,483020113,672581882,337136077,790422857,22481472,495846580,189296149,839592577,-1,1795352,-1,564794230,261507652,982990172,380536557,244636130,-1,106215830,692301303,116508965,636222861,572807080,149111729,569719661,338412058,321942394,-1,131724566,-1,-1,-1,787369326,-1,808790793,660187906,859366774,-1,-1,-1,523437232,916338076,469538007,730393475,-1,295960235,780329878,718742,-1,-1,473174501,887298005,-1,201583297,-1,573112351,232797686,922105080,233310577,70710262,699877753,198833354,-1,864223715,610856914,-1,-1,-1,768806945,423775693,203223284,357165293,-1,-1,-1,-1,503363189,784253515,35010626,324148115,-1,42052969,-1,-1,-1,520480124,19401320,954174060,161611148,265127719,637548220,313597022,150590786,-1,912737390,440647587,-1,208709243,764186554,-1,691739379,890221800,-1,440632743,890838181,-1,13977551,901893405,-1,427460026,-1,141325526,-1,304747584,266458411,423027317,418589427,858893199,319283996,-1,873444503,266606179,324974924,-1,980675107,935636923,276595168,325490750,667957753,645685658,146486908,780863035,19521471,207381200,-1,563623807,204543915,-1,411988393,-1,711611650,-1,835968734,211038816,896953874,546855547,727977672,-1,137746399,-1,-1,1695185,71213740,-1,61980712,731090823,424498864,36461368,400165707,-1,117576192,-1,232022446,554414986,-1,468182538,378470297,191288384,814088025,488729515,260927558,318629499,-1,568407411,45242465,750486488,68012495,41747982,-1,-1,959210647,192221768,-1,-1,497319673,143695902,-1,778132019,-1,-1,-1,360048758,353594146,440458175,-1,660608184,-1,895043155,851058402,38537574,388425050,13336368,82705429,-1,187158254,507491931,915076328,397224528,858599602,460626470,17703679,839270787,243201938,745624571,112449951,48901976,340104914,779895629,-1,546209630,372174341,237910037,440290872,-1,-1,651968963,776119633,104041710,-1,677513397,337177996,594855523,854758199,-1,869382873,636933699,599024929,30871448,951088697,298157098,283253706,422510820,513609964,491289011,488678664,717845079,522669613,239564692,751851720,893406796,50448954,651373175,511978385,-1,588086526,967643347,991785210,41628395,811269757,112110108,313734534,123102146,250927085,89790003,-1,524285581,663794464,844852143,144974634,218900192,-1,-1,204169110,842726938,473219088,-1,708380954,666290719,-1,451204658,-1,223104860,532416787,547919115,-1,298232015,755951687,191168375,190360325,307997790,639380072,664104989,249996118,-1,872038057,112263646,-1,-1,-1,-1,472705527,238599899,576151531,238761352,-1,265488252,182254987,515171789,13242509,226084384,995608639,-1,-1,788991943,-1,500797227,682622045,-1,861088328,-1,603438596,252381010,729670394,127301820,781467625,-1,-1,524794024,404193412,695437361,-1,-1,-1,40838246,105406113,-1,-1,258214184,915540925,520110219,997894712,-1,176799201,280095810,-1,458739428,759200920,271817710,-1,179454525,-1,532163047,724245567,560966351,254603491,362162945,-1,343055980,-1,328904253,-1,874603339,-1,211211695,-1,669558492,642552231,-1,728884850,450857204,417358684,87481304,291805854,-1,887410626,395218933,-1,147378590,495414714,403356942,193249194,666656208,503989135,-1,377253965,259150603,578205447,585871631,344905473,873621838,-1,-1,639256907,683160005,921282561,-1,200529621,540674808,630947781,370806318,899230628,982250492,-1,-1,552543515,-1,102711621,-1,166873926,-1,-1,160873081,399660907,-1,-1,861068597,-1,-1,254083389,160316606,587722975,683257616,598815164,-1,-1,-1,221856200,712850983,850642794,-1,-1,918584637,-1,93580523,-1,-1,529704807,265247286,984274600,726095829,-1,660497401,966091404,444729017,365367481,901559346,834401561,-1,-1,-1,247554466,52809804,-1,-1,-1,704759590,98712504,-1,-1,-1,763869738,235561982,486598552,-1,249569688,-1,910039393,197789404,540548282,477950920,444255761,871097711,357966549,984338358,724677452,366879872,-1,-1,489565323,-1,517613361,-1,-1,288595785,156861795,999781093,984909913,984170955,485947593,-1,360999710,-1,-1,377274576,-1,-1,48143080,624793326,646483703,966699571,674857924,-1,937372968,74965396,367617341,290010716,-1,48697363,-1,-1,-1,203164419,-1,-1,-1,954528084,-1,128328417,-1,62896282,887327115,459255209,116068050,-1,888486183,593694480,130011083,-1,30577349,202988121,582553402,-1,559851034,190256353,483605105,533080270,469992961,920417313,710840522,-1,916031222,697360667,962764146,-1,687491523,509502135,991968626,-1,-1,659233585,834674847,917282254,18142301,347704535,892407455,-1,257204944,571448586,-1,-1,998324185,35302953,-1,-1,-1,-1,159643972,449830318,119190047,871894324,861002052,34910836,90366802,11539348,184070046,-1,-1,261277275,38522602,-1,899046629,656232092,-1,349824251,2575525,677637207,732628033,974847345,-1,-1,-1,447674586,-1,122588256,419281441,88639939,903589805,-1,574774169,-1,760502037,897475452,936847136,38942069,-1,152784074,454954965,694568446,81877242,930744372,750556936,671671935,448603541,-1,753254429,-1,996291772,276302480,-1,835829478,523829743,-1,657583306,-1,112782515,465621961,85791419,248092380,492798694,543511830,818007423,457003130,-1,745554177,541513018,696563585,385557704,560149300,-1,-1,-1,256462538,344579904,-1,271970831,-1,616024703,401665004,216330466,561263491,776567218,943754519,794037923,-1,927204309,389296578,-1,-1,-1,553395181,714137652,-1,850374759,799080985,-1,543676147,302402327,571354860,671016085,216441061,924005338,-1,79658763,646162753,-1,128551808,-1,408469212,-1,821889213,179399230,-1,454070162,878199783,112678109,-1,-1,976488551,798742766,-1,318552002,606211232,-1,802773380,795447914,230789560,-1,862751285,671830966,-1,-1,539502714,-1,-1,310639469,-1,-1,-1,53349043,594385523,769825909,-1,-1,164021429,-1,-1,944629892,328008233,909955675,896351135,542862151,-1,-1,-1,557549756,275629781,770425960,-1,767281983,154650757,281366352,774069841,928200826,-1,792788376,-1,874634136,-1,956864839,30800504,909007406,851788264,-1,-1,398873043,379643782,684648060,-1,-1,319297676,621991054,294177110,697968686,705743450,378223157,-1,386228781,-1,848755451,777042692,843460560,381831043,146825336,-1,895323751,-1,518440962,361830661,-1,722155572,499036833,-1,713937192,-1,570704822,260585846,202560153,663953927,84109685,711745352,566621483,854619062,738456702,498958893,681610203,-1,963935878,51268742,-1,-1,479674434,263397553,652272981,619483134,893862229,819551408,335326937,-1,-1,293640193,597476506,727611032,235137048,717763547,308386130,979647598,-1,867699302,524852289,174176354,-1,-1,155464461,410437602,138073902,695676124,-1,537242490,-1,812076683,831190969,766911331,28657554,742949158,113873713,710609651,366007210,749011593,-1,441283483,238401311,763385204,-1,875353409,214753496,227981940,100638893,974533131,-1,-1,688635341,-1,840949086,95473545,-1,991135387,852616326,102786721,955502874,-1,-1,341278929,719470835,327674256,382541213,277881618,342879646,402881939,240778149,15814260,-1,-1,-1,-1,-1,575786644,185850672,-1,34740852,233244352,106318913,-1,72501834,-1,418685157,354713845,-1,406909380,-1,-1,48362483,616181640,-1,-1,917798029,525581204,940973352,131240773,455326768,-1,862348037,985636872,111211751,-1,-1,702385889,-1,-1,178677365,117906348,-1,-1,556221211,495121810,604657715,112345447,810590588,281750997,677913910,499026340,67776247,951302050,866246281,-1,405012473,-1,894664477,-1,255587683,284764929,649279884,-1,476697941,468014117,151527391,468541837,745656838,809997493,258098403,57063396,269313462,461260068,-1,764902286,443623947,-1,-1,646661602,107550707,110535679,-1,251553486,-1,170431747,41033666,-1,619307155,523535558,-1,-1,721491946,504457036,-1,-1,481918942,55800704,202337138,433484233,342019157,222219338,466089710,-1,-1,971579429,42777972,454416956,-1,843643305,92923027,-1,953027731,-1,83067595,69197060,468170194,-1,564559493,892298596,-1,149082264,579452615,-1,-1,157104096,-1,484096202,42012411,772198784,916919615,581995822,827788670,-1,546195744,756639981,179579961,454355511,321302342,-1,958877227,-1,127816942,817411238,-1,-1,660098315,547787524,924938310,578240485,873708955,356497942,373299731,-1,-1,503633290,-1,240203871,-1,839476048,776308698,54704220,-1,-1,174387042,305001033,25101737,240125234,989318751,112696620,-1,-1,164085794,357566163,-1,-1,-1,-1,68548194,-1,54441193,-1,490712073,400387624,406736207,942364868,-1,922865895,83187440,639040480,-1,126681175,720226795,856467969,498110351,299037281,-1,153855350,384299492,238611385,-1,295502199,780020221,736823752,-1,-1,63228326,924675417,651006760,716819504,8834850,-1,280434587,851953396,258784187,416413810,967777338,-1,736987138,-1,-1,722654610,337728512,187187644,620019783,-1,894771318,-1,780860750,-1,-1,678031238,564100155,764610479,749820414,30364695,288963205,-1,310957422,-1,871075012,-1,501450229,516181491,-1,26214838,576340752,844956216,465378406,560672937,186871447,212683072,-1,710144192,80416168,-1,686408028,287392643,608300146,823509192,987170677,169570750,389244060,-1,397506238,717995591,621223012,-1,730979097,879143862,303619236,908918259,962735894,38707192,319339063,394273358,409955539,916374817,553003541,-1,928485666,-1,308379232,926648069,297133076,-1,153116820,188686786,746631224,238128619,-1,158605228,765320105,-1,854166670,-1,486015367,426389786,776468380,280131594,185843383,271051172,613092900,777360878,289605266,274653550,-1,136620133,411139592,24936502,454224353,581685740,699512411,933497510,159018602,-1,132467976,-1,384565236,-1,-1,903801609,135671914,446545905,251997802,772561474,-1,132255029,392227960,414217586,171370922,593121460,576098022,-1,-1,25125959,453599674,495798339,76194446,380266361,610103531,-1,855550232,4093346,334104581,-1,-1,594764393,-1,473643051,765589650,229294543,-1,893304367,-1,922665900,511414927,568423109,364125986,-1,509933976,700424302,197129332,918443261,54608337,34730834,-1,-1,95654491,-1,872826440,-1,624146840,166424798,968507769,527478633,-1,964581152,263299573,315512962,183130905,638155637,-1,974480486,687410660,346517740,-1,853974390,674045826,998159594,146033627,958733439,403187363,-1,7852763,-1,109856899,-1,161188415,101833977,74525,941566353,-1,253881968,-1,52429699,499798874,-1,-1,-1,346055067,113985500,-1,545107985,300628618,465115790,914227125,501445512,829329084,-1,-1,-1,-1,-1,144849980,965729266,-1,82244874,-1,29297992,612975148,397896129,-1,85928456,-1,938738697,-1,361370286,121213901,5847386,421630716,-1,534627046,-1,792150328,442614072,8085386,942709780,982014999,832775708,824295790,644576475,-1,249769642,203313089,791010905,405360114,-1,312890082,-1,170039423,344366690,-1,355349220,-1,-1,936145700,887884723,981688367,485878010,47423646,407036035,477127953,809919962,796009511,557373881,613748552,-1,-1,903808565,288158125,109606371,518096527,246024320,-1,-1,-1,-1,38453016,688428920,-1,-1,987556461,-1,-1,-1,551412342,818911825,712018636,-1,693714006,623019263,358941705,-1,211133672,791227838,-1,463917915,199791194,146176243,131197145,6861259,122832599,254233923,837852140,309042657,-1,566308859,-1,-1,372838943,251978271,-1,216942305,-1,933372019,-1,183932981,772604737,908342759,-1,279802472,926901703,699952034,44409914,179711043,880139216,-1,-1,613230349,292531557,460937240,-1,643796253,-1,862742662,550314511,797440787,511805899,30546739,31480473,-1,-1,916965575,645730183,-1,775496041,-1,545725449,144242281,56411079,-1,397517529,39429157,-1,750738887,-1,792580019,-1,48776670,-1,715730532,-1,929164700,-1,370462699,577342309,296709198,798510130,457438152,935513798,409349971,-1,-1,-1,304406909,-1,563830311,-1,187909131,-1,940267619,761749883,187858176,562354762,-1,146086714,370652586,733688497,446247149,254684054,581892424,-1,-1,-1,794180869,475530499,246224521,598584321,-1,54869157,829252461,913518874,-1,766025983,-1,866119716,-1,791372519,-1,-1,-1,450234661,-1,7621939,476495445,574045111,292820561,-1,697840351,-1,373922270,510834418,-1,-1,-1,76383209,-1,218701087,-1,226098674,110585740,261561463,571087857,-1,143966372,240120430,378631945,454794554,424457952,-1,137366440,316497467,839132201,-1,857553893,993459066,365516574,-1,750929149,-1,641532752,660757970,365989331,879040578,476141143,450680786,899707649,185158409,894300074,96164274,158478868,619356754,924041892,311288235,675033044,758883925,888534243,923489417,-1,452757200,-1,702549027,657356053,-1,-1,440082436,908737381,327968846,-1,646614947,205384609,-1,153302864,264663871,556147216,580387575,831244683,-1,-1,556772586,-1,660165229,-1,-1,991070669,666522182,898967135,672553430,-1,-1,-1,78551881,-1,-1,-1,-1,128356073,62186164,-1,533456218,391443005,787655743,185075192,103344069,894511173,-1,721371381,963700762,593904040,948883080,-1,897807851,47270914,558834576,-1,454928900,801818862,35547395,-1,184963684,-1,618272794,2994905,161145546,-1,-1,116955914,482130443,-1,903590827,-1,879371146,444589646,417914335,847668942,107121536,-1,152172490,935893516,-1,625611190,261209238,-1,234739957,67327774,-1,209067203,135763795,403170616,927976463,320678611,223000181,-1,-1,79790514,645868783,-1,939068863,276221474,461486922,757860356,342948871,888336809,935282578,812298068,-1,362872453,87864130,96388786,-1,653623962,943237608,758440324,140705894,-1,81443611,263730183,828828774,771949856,524803302,-1,669195400,428621073,457871758,-1,61046611,165140018,-1,-1,150142914,985657813,34023096,330456013,757715459,-1,893434222,906236695,717617823,595139627,334309999,360939174,910674191,-1,212070437,120059977,284773843,93801877,174490535,795968692,-1,44056181,949858695,-1,899901477,9993021,768673865,-1,-1,-1,598467329,-1,-1,152575612,35295722,114704105,-1,388420360,370666849,183536734,962739458,-1,453280964,-1,795959716,866047869,418477947,-1,301487716,-1,183808565,515130004,382335562,966571689,939428528,976492612,700249833,842508514,557249610,631842681,-1,-1,908793040,265781288,595443051,620809660,65395838,873305803,-1,33676826,830522582,791472874,-1,804755594,916260063,781942848,659054597,355970217,-1,932965731,-1,-1,-1,614874656,964360060,551385241,544878316,-1,253475166,-1,-1,326203679,-1,233562809,-1,285295950,728495291,98958512,904952833,442849652,-1,356846216,677254284,43240550,28558821,588333562,383428812,-1,684796413,140416847,18488075,347864614,942008390,-1,898494784,-1,-1,313770110,171623376,466353891,-1,-1,284350003,324336192,-1,-1,406918424,721179808,909645994,221730991,201343223,-1,83076909,-1,274230394,450057143,122030960,-1,969635116,-1,658915669,-1,554409313,-1,-1,-1,209859117,360121029,-1,827741093,-1,543354716,419837520,858349767,-1,-1,229332298,13828963,-1,819993976,892674800,-1,-1,-1,318519695,728634678,424452987,701131298,-1,547651737,404991298,336234361,212198706,566627917,244601954,784216327,-1,-1,-1,458930931,-1,365987581,711763391,930970607,905893299,-1,-1,-1,655183541,-1,194939546,702525517,214579347,513279993,-1,267840130,973700785,456685636,-1,71729470,829620837,-1,-1,951868889,-1,990834199,-1,10928431,-1,525249085,151047293,-1,818191476,-1,-1,854731625,481462743,741979543,680345572,-1,-1,269194904,687780004,895491207,454360985,609362456,867826088,272046177,438772504,-1,888528713,-1,673874025,528137693,-1,899089268,-1,898164179,451162857,863234990,480965684,861031143,962023601,627800254,783730984,-1,35021752,-1,47357012,900435683,499594208,-1,-1,178089106,-1,388773542,286327867,84733935,53081551,820581052,520040959,921050807,503488303,614876752,-1,185047067,-1,792052991,667559971,274431828,-1,933541412,-1,403010084,244973264,943694862,243163345,-1,819733977,367048680,-1,618976886,414006536,962261936,971082624,-1,-1,-1,935565305,-1,-1,-1,181525852,-1,947273261,742325648,610009147,316497004,-1,34006794,-1,710271806,97612472,398199557,586658040,300987805,889836314,-1,-1,-1,686326113,875461330,263021139,606555624,516777755,126419482,99864539,922659674,412915984,-1,729212506,939975539,101494703,110551476,335365357,232720344,810827658,450764221,325678664,402664615,228144073,-1,585663013,348848193,-1,932034975,850893157,872361230,662027554,913817878,510114317,88416855,471235084,558662077,140744999,220260512,366583004,-1,391486397,-1,-1,353364394,-1,458069582,-1,521351973,362507719,-1,477432609,-1,-1,882734049,307968838,-1,868611143,853910387,725056034,214193480,934143416,199460824,-1,961752157,-1,78086689,567982510,668564030,-1,-1,-1,284793529,-1,522717504,459768489,770043413,579758348,810183181,86446489,734631406,542401247,666696983,-1,-1,804948207,-1,930939922,300682653,860422079,278405506,283491502,-1,408810552,-1,22295945,-1,108149468,950784179,-1,-1,-1,866177258,824129479,326279006,730454293,-1,247299168,-1,445652580,189020269,214993153,655493598,-1,-1,888712577,-1,-1,992727186,794396006,612611968,367162797,208772475,278468212,653258828,860332045,-1,890260928,907955201,821639828,-1,801666270,917935254,833436505,-1,311843774,-1,-1,571199292,-1,849684176,-1,125336901,249327578,974352299,500932355,182306518,813798251,456619489,-1,-1,-1,365532533,716244044,205064243,4350464,-1,282884779,908737266,-1,-1,-1,-1,149126681,142043684,480162948,-1,798324230,-1,362241721,20089937,462262030,-1,622245003,-1,933451713,184308384,814078501,-1,495671993,456856426,-1,252061041,987196973,802732689,193820495,709918116,920925130,-1,822369901,904976459,646376181,-1,568557490,447582373,-1,661307273,863254481,-1,241997336,-1,911883306,125769191,-1,-1,-1,-1,665617992,332551070,-1,971735081,-1,249699296,517036152,302114882,579532723,-1,124309923,39320077,234495338,406749803,879009773,283365508,385228090,327873715,376754324,413779638,793011768,954757435,27039156,905119916,397783583,-1,-1,92037673,565006326,848887311,562527484,307440265,691030581,73395703,729473197,642212010,-1,389364072,675282797,590875127,-1,-1,-1,-1,659962708,851680044,30014828,-1,792319570,917919811,870391083,230471499,851972322,238648539,645545148,599647828,90425063,528577648,539573770,584637127,-1,-1,740240289,481936737,986383655,-1,988598795,143104285,138097272,479327576,-1,203112344,768000036,731748940,-1,986092811,420667175,-1,61792057,312720982,-1,-1,-1,210520990,-1,499751531,737844480,729302825,393982312,596200119,-1,396157081,720852163,65264993,847183403,275158489,370876079,978976204,169768519,946868032,467151320,441885072,465874704,478916677,74534422,844452962,79397104,-1,326962029,193641523,260632971,-1,429830458,139986423,569312034,667899268,217972697,-1,984329054,224728582,526261110,898483845,16258229,268095135,-1,-1,985241260,363127008,384347075,430847504,-1,111162718,617707578,656346560,48808603,-1,212335430,336574442,-1,465393511,-1,234617803,340408141,55460291,-1,-1,161204620,-1,665824231,858325890,-1,-1,115876309,506960118,-1,-1,391443836,450902652,-1,882071084,182945681,-1,-1,-1,428868892,547753738,97564537,-1,-1,875268576,-1,397654064,99928801,721504871,-1,266258608,149896668,44246537,102517032,-1,263678473,-1,510451433,767814901,598610548,866452044,814238040,849178906,1370356,189652049,750503379,149693099,299275906,-1,975477144,22386403,702171508,-1,-1,503382765,586244249,-1,-1,687400449,-1,54837206,847823168,-1,-1,47772189,286050805,708291380,-1,29401428,358899144,792672804,-1,-1,-1,122739651,275628192,-1,133471963,394829351,987914632,393935581,-1,884999042,-1,656282157,-1,96682605,308785268,555760521,-1,433329775,-1,618175426,322589061,-1,793158874,-1,-1,484736146,424188409,-1,319466504,26504135,777822364,277125755,-1,443140352,-1,-1,957042387,-1,69199061,377839850,172040508,902863225,-1,189907913,-1,-1,91110012,-1,446956112,667926713,677336891,124022621,271629150,-1,158442278,912116277,-1,211320803,-1,617346856,909780373,423150061,989790302,238862011,-1,850295310,746207487,25841795,-1,877384288,-1,568997564,773699549,471412301,638816867,-1,593187193,291007649,462755977,27720395,87077980,844570305,950959492,362269933,-1,554600364,-1,658682306,878441907,242847155,657726004,524468718,231157859,442249673,525712928,130172030,438258290,685917871,726807701,245449467,421623290,913925822,-1,39463108,652853651,589466850,72395374,977474038,900057224,-1,296469771,652655003,581824550,-1,-1,653110117,-1,-1,409414960,763089362,628039030,31235490,774852061,229611527,-1,237694293,-1,-1,772645166,972315992,745873278,852220773,675768037,604123060,191965453,811532969,84425417,793244875,578040569,-1,312379441,150298435,616308271,-1,-1,-1,773368125,-1,837747064,77268406,648972887,859260082,-1,526215978,492924615,373206417,275964981,337372862,524061897,837659098,920250697,420964273,381035330,131858269,-1,-1,-1,-1,924920198,715360884,-1,100810199,322675032,-1,562757010,-1,800884387,306010993,495380762,-1,-1,902256039,590122516,426469533,-1,808202669,750141163,349724411,-1,2207798,-1,-1,112134512,-1,628407085,751419895,-1,-1,-1,784699766,721071222,332039918,729116935,60324052,517788021,658015979,730751987,438407894,590952111,168447001,32581645,104676597,-1,249693484,-1,588506452,-1,258723063,-1,963317687,-1,974368451,-1,-1,-1,-1,757530344,-1,-1,167695399,-1,27466276,156356659,949308552,351750673,37256873,8697195,822196936,76614764,222291535,868936013,-1,740161186,242433283,687356333,271188215,895402732,787625919,-1,727111155,468615716,469800418,-1,-1,-1,903100284,-1,-1,-1,460577113,644109251,-1,-1,728687383,-1,783415751,271147254,-1,271115426,-1,523486821,123570201,-1,428542271,440388596,742840789,84638420,926512866,-1,205472292,174076679,37474833,439345776,583757564,-1,43911580,715912506,53479501,886851339,-1,352555584,239000350,-1,-1,885789035,-1,-1,675648997,290440657,907886756,540272163,-1,426946546,111376105,692386540,574506696,948498363,-1,309048897,19445269,615235036,134887119,486484923,378901341,-1,-1,169325116,-1,11457230,645499910,539415844,-1,-1,-1,-1,388299946,73032288,301375254,828903948,-1,-1,-1,-1,-1,449242243,482068467,-1,610108974,-1,841431928,870357313,629420445,-1,79769328,828118271,414697291,-1,-1,766705659,-1,386754158,37214716,601636007,937333913,145253709,744964050,409419705,914934925,166996819,-1,-1,195590384,-1,-1,54596814,-1,935049655,-1,38297689,47331465,-1,380328497,-1,289393221,823377273,352982982,102654458,408839676,873355326,866116751,59335573,-1,443155158,297011155,-1,555767274,789277079,631994410,-1,-1,-1,923154199,534063834,801553246,-1,245445619,14562228,-1,379172072,55279684,622908451,363058247,-1,-1,788265981,719859380,71893094,-1,612220615,861122704,752413459,-1,-1,595858870,86780527,-1,390029847,506075742,-1,525977959,37423710,343387007,-1,774640508,-1,506866484,219546497,432639634,444984313,996222953,928242438,325242155,54282066,573700626,-1,892815168,517321283,459705568,939184375,580717385,888624040,940814051,-1,-1,240873061,157135473,649003946,585482404,-1,38700646,991692768,-1,-1,-1,777900418,42338438,877562960,359752754,81063522,876924806,204808761,178847383,177872011,973774756,752316300,989739997,-1,-1,474531671,594363359,133807097,625139071,834817988,-1,310787534,741623766,408605531,-1,546853594,155342530,883826251,138128581,626816036,-1,713993607,-1,811527819,-1,284322212,178048029,951130143,915909713,-1,32123105,831367633,-1,844188513,-1,-1,582189456,153401050,291026641,-1,45441863,989351232,411613833,954324932,348602503,721764060,921405744,517476733,35514625,-1,434308515,516988590,236341553,437923507,425715959,860185907,739005327,821392113,150883872,-1,-1,-1,-1,197421541,532005809,-1,160642105,851886692,-1,574831766,-1,942454344,-1,13153399,596506064,75180468,593644518,501579723,529690907,475494877,221918053,331842445,-1,914753962,383716049,813199191,-1,338901310,196658161,878868004,844295912,924297014,885188252,453541727,-1,268127613,-1,350115841,887851836,494880954,342613184,343587184,-1,41295236,-1,915132660,774984027,-1,155219212,-1,427792018,801334149,622680974,978994713,229317479,409131358,612531152,152987047,209440718,-1,-1,188110023,965969210,294776670,608874918,417516852,471036206,849910629,-1,-1,-1,954465114,-1,754111033,-1,832353194,977664216,1076655,164609105,-1,517883165,394869474,395378503,-1,-1,-1,890127467,180214880,406897719,584956757,103298044,163402304,-1,-1,-1,-1,622695498,195266082,-1,924543659,-1,162678578,-1,617435547,-1,774350247,651955092,333975853,40398123,467917577,330791071,735480746,10460842,972684260,-1,142937527,316622982,303989000,205067784,148520165,26728329,875938943,-1,675730947,395196068,984876629,663928051,737459952,-1,348131961,84909051,535462450,581237356,-1,-1,183490800,111315346,-1,935915168,-1,686105526,160007209,233378567,-1,-1,157960751,-1,454629550,69819857,-1,-1,957325671,825947451,-1,165958697,-1,218731828,-1,141856793,-1,-1,983698409,-1,-1,377504092,83727294,466332194,-1,-1,-1,440716797,-1,318454057,43447001,-1,107806370,508865843,572728748,960564880,-1,248351166,109571187,801037173,-1,882457439,931395880,-1,4836039,-1,509256740,685685438,827478208,-1,89777544,940746089,-1,775875672,62308195,787900586,960653837,345669289,-1,522042706,898515491,-1,843135002,-1,338603434,523684997,101141935,-1,-1,-1,-1,-1,231795962,-1,-1,655701430,756199619,-1,30604585,308661431,-1,676847193,416701347,-1,876308192,383712718,-1,303397058,967045131,860823011,-1,998442005,292223943,412773998,-1,33959035,117708257,781420909,904395468,-1,-1,-1,967388805,951918223,584171305,245958935,-1,461878531,-1,-1,429456282,983084265,141434038,836392864,521225582,201164500,353639657,-1,-1,704862204,-1,726302681,67337483,-1,347836703,746590008,950709939,125827188,46407991,54424838,-1,852770416,929295356,696720773,388226124,599876674,613531882,957747425,633098527,599278534,516125920,-1,-1,699905150,870210041,867148137,849587572,179521166,-1,819760823,-1,687887974,151083853,802574230,287282022,440647064,229861535,167899849,-1,10114058,80299687,-1,901388469,777208147,-1,-1,-1,674602739,-1,531056502,-1,-1,731313989,846429441,971446775,344089835,38232531,572001253,405000445,900322579,117440321,-1,553092823,-1,-1,380313257,652136114,-1,-1,-1,-1,-1,64757228,10815135,-1,362057911,-1,970242482,383472103,-1,-1,441649829,644374927,741277061,-1,-1,-1,944903355,696855485,429153313,-1,-1,520892500,311051984,370715919,-1,410739399,453689252,197310797,64955140,516543389,-1,752422172,584424926,357036124,-1,-1,550758710,-1,291383402,816401856,-1,447084353,-1,-1,410250603,785601335,81730202,186629723,606064429,528321749,377723179,-1,407293918,826902264,-1,-1,-1,239060642,-1,129673544,832575194,-1,82769560,417179906,-1,795091046,-1,144974904,844915704,-1,314396739,455152217,-1,439747557,112261058,749231938,242612786,956375211,-1,697628480,48642742,-1,-1,-1,277001578,640062724,396793848,647520301,758171479,570300877,844717951,900923823,560199215,407525446,253405058,-1,-1,-1,740548676,-1,407496348,794473190,355069154,35937936,795769645,974576755,-1,-1,231976592,676652531,29327352,52581308,304533889,-1,390548427,248897130,642041294,740823007,-1,280801752,-1,-1,-1,303062799,736788210,161495387,803161916,589149519,-1,-1,428847507,-1,787204380,-1,443371805,205774996,828769645,553287818,-1,257761659,-1,357261844,185103745,-1,-1,74397631,-1,498949041,-1,331741160,-1,591126975,681072474,-1,220413166,88885050,-1,568429197,37654239,374354361,373295652,41634720,749686448,980375321,624217370,-1,468026284,-1,455499995,625806533,-1,950061275,597958902,-1,200928444,202314924,479677053,84264290,-1,253361559,151314995,-1,347287091,525679539,834248312,-1,717835191,23219952,683386012,593031437,538750360,-1,-1,654999414,157801673,725489765,620565834,-1,910922821,331608630,-1,870328237,178955727,788338212,-1,-1,218349642,614686067,613918606,458103666,-1,-1,565289868,436729517,355420847,959718409,-1,414854136,390794337,430825885,160658,616510357,-1,511846161,140099878,410272522,218449623,520027572,886707213,713921052,23244216,571733838,646494032,260881867,-1,394849197,964705139,46424228,816859916,801584744,525578520,245007841,269650177,422978084,8020595,339484599,959545944,478818381,-1,837171645,17705430,546424264,-1,442616681,872429888,-1,-1,22299515,574891728,424099701,901090466,-1,121993872,645383410,-1,861339441,-1,-1,49086123,113768303,968048332,-1,132926373,142025141,132250157,961224394,-1,824785822,814369710,780803365,739860910,454332231,671498494,153092620,548425969,-1,470868579,-1,46031068,-1,-1,865609126,920724966,781867953,671208006,45440021,-1,208075271,204901344,486805707,501206966,125219484,-1,349567859,613798846,-1,-1,323842954,476310834,798570892,725959483,-1,977350377,108729270,-1,478537823,86607394,-1,911185680,869547211,962485635,148154531,146257126,945168882,829130551,-1,346343548,945171098,-1,-1,-1,896723696,607258343,-1,7220789,922461975,624512917,118488781,-1,156293866,580671981,84560207,380498713,-1,-1,727368610,378262248,239949188,456542319,860777281,720490675,679495732,420962877,771673035,-1,-1,-1,-1,824048978,761117726,928494350,-1,645776231,3605148,533445205,23049934,456200477,928735944,183473438,-1,539404550,608130329,-1,854347254,-1,227700070,776220724,838464335,60385908,406881744,33076814,350602737,357696931,635201127,744720900,754170094,597225557,738059698,942531205,6496527,129945274,-1,164412624,-1,151208569,-1,24777553,296825775,-1,-1,333322608,-1,-1,695035808,494683066,657834752,-1,843148412,559470351,553799186,-1,877173575,107828006,490991865,761018722,821946646,910018943,207560996,-1,-1,788672012,115786851,21921534,-1,30542,827687335,974079585,-1,-1,-1,775422383,218273393,708693538,729720114,470139255,-1,793860601,-1,15698659,-1,665558331,262333177,271144908,318737139,993417149,599865692,-1,223965035,501444487,37727299,123700688,820367741,317724129,194681356,814147562,571893027,-1,164250943,-1,-1,735609473,881715318,983860914,-1,-1,853037590,138121034,729530457,979750279,-1,-1,676999854,-1,452818622,216898543,-1,447829138,309146846,736394022,-1,-1,642281810,-1,-1,-1,650489394,460569890,210847161,970049512,166131391,-1,-1,435455129,-1,788571325,-1,-1,-1,453374025,567950738,358314538,647098701,28434087,185667936,-1,-1,-1,-1,593354120,-1,951924721,-1,-1,355557310,662346844,-1,-1,548547264,-1,635405986,68580983,300483081,-1,-1,-1,99319130,410314503,220715468,730588542,586000552,-1,940487911,-1,-1,834597568,-1,621988259,171894204,135555272,702914711,-1,-1,-1,509477145,683171134,66691212,658907355,-1,11298837,364661712,406392663,990916304,-1,636389579,-1,733391483,-1,221692315,482155485,-1,276586033,-1,947355114,-1,-1,138172965,986301708,578187886,-1,744942976,357985927,-1,-1,-1,847223831,-1,-1,499905033,177550850,78938726,982552709,733665581,833474418,-1,276022463,-1,176013180,-1,-1,193341841,-1,114073684,361084679,942869993,719159991,-1,207374014,16991991,461647865,483488868,10484590,262201815,56322248,174591289,734912665,-1,126288184,-1,230907821,797665573,821606370,383579966,495702087,899397177,617373639,816623809,503118722,223184467,559438010,162801469,-1,378101191,307541617,902524816,28512789,984122991,852567655,150199701,453914914,867545613,914606078,784836408,748445504,736938288,-1,227193863,773412510,562102181,881333643,920819653,268662897,-1,-1,-1,-1,-1,-1,787993647,572471408,111534199,-1,356495237,-1,244123690,-1,339272761,459213821,732075515,192878273,621400941,985987173,-1,8452800,-1,981308800,368164459,-1,-1,727046809,-1,955454750,333108391,601468664,110333915,464213071,462346304,20216021,123543434,253950602,746640422,381039212,578289757,563301585,640590397,-1,370695018,-1,-1,-1,802471155,545215228,821914704,676859303,399970595,349875244,550845554,642955142,658992599,-1,741998173,778283299,-1,382651258,-1,-1,-1,225675555,685157893,468214628,647101316,749790383,654635342,260131584,341473874,-1,-1,-1,616538315,-1,-1,643321334,267536015,489966136,-1,408950351,692702476,896012433,38462760,-1,71909058,597533074,-1,328541242,431382543,-1,-1,560285965,734143770,-1,221570424,-1,139534872,-1,245288297,-1,307538820,573997892,-1,228121578,721648546,934399125,-1,-1,-1,601640096,382299588,234612104,673837299,998900762,476312812,435763737,387110187,782468452,-1,921519200,982713378,156795733,-1,922682681,588120703,548649082,-1,-1,757692117,412260598,594911889,451372855,-1,751408470,544671055,-1,-1,631895154,-1,156661679,853168283,494434485,869039825,655461491,-1,625981566,56408463,62350957,-1,-1,804861130,563260675,-1,985334159,977887995,243588319,887349938,147290841,323841739,757613029,843109536,558071499,-1,-1,-1,317944624,-1,49089491,608333017,-1,346487745,977188945,-1,85886148,-1,400110522,-1,914909915,360103024,286340464,510342987,96463465,187652901,859720288,642829026,893170112,322762511,-1,337823585,339693512,527432097,185947934,569547698,531101290,907671067,-1,988202254,-1,482850438,531947040,291601813,753367292,-1,-1,306950948,207861766,-1,-1,-1,103772800,457667664,996584023,934244550,657002109,-1,721467731,332973383,666585508,987794621,597046557,-1,-1,713073106,-1,177300927,487540195,457302695,-1,425682472,173256634,199006074,615071764,444610733,207826020,392589184,-1,347939708,976095838,-1,-1,975032012,346336914,-1,-1,-1,287148676,324991822,520673367,331840294,-1,-1,649202558,-1,-1,616799456,86871010,660099778,457089135,800710897,400874249,887969982,444217324,521432609,640720604,296049154,-1,461595871,-1,-1,887426619,-1,-1,668590111,-1,283501144,379587108,893281108,890498034,-1,-1,659747546,775567589,418430527,319222995,-1,598430992,686607608,600853313,842087204,421263392,387102854,860001216,462322639,926018482,-1,328387784,-1,-1,465636844,972009588,-1,504056650,632306443,-1,414219834,-1,793141920,739534021,-1,971984928,324644497,688051436,591031385,-1,255651476,505619235,838576329,985053244,233513149,456246755,261419583,607891747,76841696,786715029,507261573,411625924,-1,-1,604216411,341555174,685109201,666298134,275829006,617927317,811122952,-1,83099152,364365500,50387703,208008307,-1,513998203,432927899,687181269,204266749,184490230,230135168,-1,515503568,19222486,727362392,866269759,13943765,106455930,604781540,2306021,571356343,-1,639293008,590401369,-1,42144392,823697447,314429061,509365244,418115696,868298521,124417812,-1,801053153,991812482,106589614,956109267,487749962,254354975,674928796,-1,923033533,637798263,567940499,-1,293336211,403487484,254272329,890743708,901712429,187498431,794197626,507075081,-1,349987585,96042120,654771126,-1,593810423,-1,-1,373728771,219495011,511261509,130287758,756058778,-1,-1,477966901,499018759,-1,-1,249157794,302042082,-1,-1,784064820,-1,944471210,443352892,262126744,396440001,20563515,136422129,-1,25561183,555829553,142860686,-1,263448232,124375397,979441495,-1,983510880,726341282,-1,-1,903878138,582104749,686527206,961608357,-1,-1,366878337,179407932,966825960,159271074,-1,495400633,335183692,-1,446600339,598278644,896059000,17914758,131745022,-1,68694666,53449463,113350214,-1,2000557,-1,-1,314893743,-1,-1,157203207,48957006,377495457,170120369,627297074,987356902,317506392,10873799,969186771,-1,979451654,203447652,33486763,224699038,775604908,122640735,622511256,17938063,46166545,-1,107962429,399963376,-1,-1,-1,4945483,389932131,962405292,-1,-1,583881412,456006430,546370346,326232547,509512969,13001188,641989320,409000565,-1,632904478,788604484,498698203,701597050,-1,505673035,-1,-1,-1,274650307,-1,923415975,-1,-1,562904176,-1,47257071,343367749,329905683,-1,-1,232082455,295775531,-1,997051959,739549795,318079861,922138672,996794468,676580360,557950159,962136543,471843557,-1,-1,-1,323328990,-1,-1,163316160,-1,259374943,924795420,-1,-1,696816325,192720082,988566627,300470509,183777182,324768060,-1,510420849,-1,899439596,652690473,3361485,-1,773824047,721579430,-1,-1,817547509,403594213,-1,-1,441206102,192603630,-1,-1,-1,664445365,347763558,363735969,277245871,646698525,-1,159774623,-1,-1,307493769,930413508,777550876,822520759,505977601,922962706,-1,280663197,534439917,406403403,128999306,517047815,131599202,646476624,843794737,-1,57135735,729184126,195684323,-1,944378748,285635278,714373323,69705322,73904996,-1,535782345,-1,242837641,389332751,372972647,454429907,487553718,596787798,637258953,112403967,725845706,331447473,359319467,695158733,247791203,-1,558428923,634769030,-1,-1,740484728,-1,461069939,508444133,476768925,146515275,-1,945764281,-1,409861170,703233379,449188338,-1,254628171,895341245,30484909,911956067,614405325,772959897,715528805,-1,-1,240115040,-1,-1,783218432,-1,901561733,3630246,-1,-1,597667299,717298298,402479809,215604305,-1,376124774,78552803,737336878,476261673,623444357,-1,-1,-1,835213841,830689861,385324052,375429023,33538766,328357178,169052246,38755922,103757183,591644933,851980534,285123098,843114467,-1,445447409,302227855,180519826,843221114,105243996,984985482,388103522,-1,-1,484474223,-1,-1,-1,-1,505102556,-1,437416925,507035141,-1,347286442,974201609,-1,-1,-1,820134201,603702892,955005568,427275169,887692070,-1,584336664,848773559,747895848,303440481,413740128,28871801,697392185,784553589,444074928,945354135,545572733,-1,979252849,610092316,497577126,936870547,-1,971539239,-1,109253180,-1,570966789,-1,331224899,-1,-1,533368382,906774390,472227387,771356113,550310599,-1,-1,187919112,719763852,-1,352720880,843506606,292558658,-1,709778344,338276422,551820261,361736217,59887047,-1,805936963,577256853,697589027,480234214,438336734,145036961,556640137,-1,-1,-1,797630957,581443226,-1,-1,954810317,988565863,825334475,584350674,-1,950817643,900019001,124868262,-1,161383426,755979992,639490188,-1,-1,184037428,249719427,116992108,838342275,243299095,25178820,201306798,434342115,730650990,239558119,94716941,887049160,700018908,-1,-1,-1,977185332,61365033,87313952,226032092,867775535,945000117,-1,312504208,434286350,218765583,136010077,447970677,347887102,-1,-1,-1,750958094,504573131,233894611,830045101,-1,180086140,154766067,590263854,679305434,195599101,-1,-1,204617959,123677863,470619820,-1,574704773,855359592,848400623,613257489,941018120,696270709,766558081,100787916,289319641,-1,-1,-1,-1,-1,805184476,-1,538810478,302363950,-1,59128518,-1,-1,761781683,-1,273709205,136145626,-1,250367206,440679650,-1,-1,900719777,669340086,-1,949469564,-1,374186380,126011330,966083549,-1,913845357,935127664,36117392,679569404,668786634,543802688,900742057,363951704,730670381,-1,693921484,-1,-1,964432033,976134445,-1,38864686,-1,286390742,22399728,9091854,-1,-1,462209786,425808029,750134761,598180518,392694117,-1,409161976,807282701,-1,405956328,48157070,6468818,362333786,721334719,-1,-1,-1,-1,760036723,87338385,-1,380307023,-1,878340153,55149310,650029290,860572659,953094884,-1,377467633,87675466,-1,905390623,268126127,597170007,712344,430423087,725675226,-1,639940099,271716570,399552061,229057377,-1,596660733,11545624,854474733,346500569,103165770,-1,162729245,13522187,981006263,-1,-1,-1,914260835,945466715,654311901,-1,738085150,555566158,671788759,345659875,-1,-1,-1,839281577,530258666,722592589,255782755,-1,505888281,103029136,954529843,43469840,434328868,-1,838433286,254542722,768144810,-1,882300255,434329565,150208521,-1,599276650,-1,258661155,604017383,429859170,645906550,285770185,5032542,721468542,529720600,-1,642853727,226339340,-1,715134186,-1,426605025,470538569,-1,-1,994334466,496884139,579791804,454571352,-1,305322306,997941855,-1,511117211,-1,631610238,564467341,940784787,-1,-1,-1,131106565,-1,289133537,-1,580461618,407851510,208841966,189576288,516303393,464683493,330417187,-1,235624508,280507327,859150296,435781218,978990235,429424575,-1,-1,960448012,809651679,784848366,919194124,744161249,300569556,315466879,401957667,924038248,258470189,-1,768825433,575806525,201971261,189570813,-1,794203805,-1,177597089,340662423,512586044,474819464,138838019,762897095,-1,-1,925513246,399869929,865672080,936382966,806172826,548080537,-1,-1,387978801,49205667,393979350,42666235,834879824,-1,438658836,-1,468496196,847810771,850993107,588819588,749262036,-1,-1,272387950,64037163,222775214,833081771,-1,847322955,969200492,832375308,235613574,-1,918848911,950315663,14370095,103421671,653162602,-1,374602906,167385293,-1,338870976,788047533,169293146,622914126,486037792,856380242,748186867,349536913,-1,-1,416096506,24972635,968435968,308290021,-1,565121705,136882642,107990916,477905853,515238735,335127307,489768357,540406112,-1,265699587,-1,-1,-1,-1,371750318,876008135,422253090,-1,924953631,-1,467662199,522100007,121395687,896191481,889722151,773385968,28763822,675314313,509374608,375357632,455817699,323955760,-1,579915999,-1,124590812,781720958,872068036,-1,379320798,-1,655078341,-1,991205198,745564607,-1,-1,677938796,-1,363131724,-1,-1,628322794,153907834,914461268,-1,-1,-1,-1,-1,316437846,548547244,-1,-1,465173992,-1,771342275,-1,125745251,906636643,441624750,636783058,643916237,250690043,701996799,251167771,-1,-1,744950585,871627660,-1,824972302,15762486,-1,111071391,-1,541879954,727473867,723776421,588049638,-1,918532155,320323425,637359447,174666901,269758024,261988448,-1,983064605,-1,802946217,168642153,-1,-1,433845916,376273241,-1,387621599,177309319,-1,324917779,182927078,745281265,414507817,383570022,31286925,731257217,228833745,653497853,949088179,673278282,259776718,822343775,163503179,-1,551874544,482357836,-1,282744080,-1,478548255,-1,419541666,375913863,372277399,-1,675300528,-1,743736292,622247017,252285945,971882171,-1,150424342,422317108,199076508,507085613,-1,169034667,684772719,959493580,-1,851573207,198578852,-1,894465340,-1,774303872,-1,-1,545600154,766634378,324672478,221256409,76767918,104139173,225467198,689227732,-1,427047169,743197507,437103794,-1,984989784,-1,993324685,756327037,-1,669619665,743746550,-1,202669832,886274260,807549400,533247466,528986105,283268316,194921180,784215788,411073609,832810187,-1,-1,998449928,-1,831885724,948513595,847803707,387958553,985626942,-1,465550079,119754573,-1,973279143,904537865,92851481,787722776,921978643,-1,62309077,25575980,463442755,-1,-1,-1,894382236,734985883,-1,-1,813154913,-1,-1,950732133,893170402,894777229,478386321,296151524,-1,-1,187412447,681048429,437945141,429278677,280761253,735017531,-1,160583990,365454889,718870751,-1,-1,-1,-1,468170449,157019740,871683114,349676751,-1,-1,-1,-1,-1,946999546,439791140,33163972,615495003,876210867,305074351,623891841,177843536,267229555,200441916,-1,243043119,406014778,530136310,669979652,-1,5392040,821652671,867370478,796933880,44142383,556155109,554395382,983183791,18689343,328202593,-1,-1,932166824,942570476,353515248,203172591,-1,120124298,419281426,-1,607878482,601791813,537530998,102784777,-1,274012144,-1,-1,-1,615689019,3469886,561517852,-1,385861492,208221025,829761256,-1,217187549,484202713,378499227,953345134,-1,906618032,273004679,-1,-1,10597269,209667596,453542612,735222750,-1,-1,525879741,896917021,358182884,780196199,-1,662164860,558175322,287041827,-1,322630771,11490668,89818426,438371385,660923469,658775412,-1,-1,802415807,88461363,52962019,-1,127088220,-1,-1,-1,968862412,374151395,-1,502710533,312958332,638050003,123850844,451844153,-1,-1,-1,937014991,58409612,378883086,503731796,744319590,189814989,751227920,-1,-1,698380597,11912510,-1,894665633,-1,302208194,715305442,208559354,-1,172668452,-1,394260877,748899212,807875753,274045032,70778178,796238423,-1,312357917,600832143,191024558,318051695,-1,282433962,656245517,712911134,-1,-1,281754243,-1,35051546,-1,231792374,-1,438500391,336349191,-1,28564313,215200901,933009563,976377183,36794023,943010289,-1,-1,-1,-1,584687270,480768112,174082756,347837461,849516742,187812091,43680272,467913932,846568626,693807725,814171661,-1,630310603,203139973,731777653,321793320,733725041,-1,-1,345814686,502540267,666767858,-1,634376960,-1,138202008,-1,990430280,-1,305301549,-1,101531282,897495414,977244336,923338805,18067704,991318989,-1,-1,550779512,975634592,424228770,5246707,141893513,-1,-1,722295941,205102259,3805121,727989895,204243477,628847327,-1,-1,729555265,233933056,363775194,180156976,-1,14634375,691241398,322326585,918812371,10200483,851729398,189567523,-1,-1,558801170,291978353,184646243,-1,653400894,61846240,964387158,-1,272651388,280739656,409856869,273794411,942778669,551130598,617122917,515945843,917097214,672333909,61040125,-1,963302758,-1,562061447,-1,20956777,-1,-1,587499916,568052624,156297443,223762078,-1,-1,588038345,399300206,199318378,-1,375094818,-1,235680090,257320597,-1,336979533,821210807,560056931,-1,-1,34329436,-1,588434233,577652448,846935914,467171599,-1,-1,884845490,990270661,640269766,708066269,-1,921846940,997188240,485093610,-1,-1,53366864,280638008,335580919,548110421,671086661,4422215,129584423,135951691,82030039,170702456,906833156,251192521,714922701,-1,-1,95380853,842560502,231371255,103277975,-1,795428537,135717395,866039146,501691614,-1,-1,-1,6622591,-1,973322694,847504303,464510612,923288112,-1,-1,-1,519131439,280236111,-1,-1,668386454,-1,-1,-1,-1,894360318,823962987,-1,-1,98619155,-1,900862943,-1,52235327,732620989,-1,-1,800202354,919605482,870704917,445006026,962942014,695314952,524494448,667457221,142321993,836680877,959085645,752667203,365502565,415667146,501236797,198900916,310630102,-1,-1,830218180,424688008,137309881,-1,6203186,539721403,166482526,516226725,596676143,-1,-1,-1,-1,38531786,-1,812898711,487538354,-1,789536560,-1,582617924,518288788,148501298,-1,-1,920164710,-1,2523385,640311135,-1,123636926,-1,739126057,48566799,508917,798185494,-1,469971345,12362735,643199638,532089739,-1,89832895,-1,849804146,846665304,700746478,-1,-1,500935257,647581201,28897581,819751388,93534115,329434336,220733208,825741615,431325620,-1,264963345,217963448,186979670,-1,162620368,-1,-1,481137804,824560128,145516225,53850641,735562000,727210587,106086110,498290728,-1,937906204,522171683,109019356,247386478,-1,169892518,721993672,622403631,844469568,197927009,598761730,870048628,-1,761797472,515274682,345859747,471247396,923080089,218396222,248345478,17670135,828441007,381012953,428897681,874292228,839729819,829020421,-1,947263788,-1,648133579,758655329,309595733,879610471,-1,437862639,645653934,208229317,720577496,638476398,-1,285527353,664303815,394888124,-1,-1,980234251,728509368,671144460,-1,87960414,167663532,878774297,-1,-1,-1,592094477,230151443,912508420,-1,502664290,529624995,572040128,345348840,606992631,482152047,95795492,-1,453616662,648053811,914060239,891603958,-1,867099369,413274321,606791224,607530146,41601409,-1,596969045,-1,191267791,-1,812645590,332555911,222120044,716444465,248465163,769198135,491361766,627285053,870825857,870817293,140796467,438249718,-1,811332770,917951972,483049024,374467481,820945389,-1,203847819,955356685,-1,-1,636930886,789449194,-1,-1,296820349,-1,808694356,-1,207031309,229182911,547938556,855228295,-1,428262386,431267752,917263143,-1,-1,-1,124341039,177677095,119136238,888928059,391016434,-1,748649819,529374521,406347668,-1,519931861,530370643,892645544,700901114,330303392,711061577,-1,-1,-1,663967300,-1,-1,253102063,525726974,782755156,989968224,356292806,532227995,879442915,276998912,40060615,79174647,377861651,990869329,773437323,-1,763843126,870153134,836978208,-1,951227627,195492574,313596420,-1,752193436,982463932,792772273,735910042,-1,391242345,-1,817133675,336312900,639147615,417072788,-1,951589157,-1,-1,960258948,-1,123291968,727822001,-1,502123299,999639624,162775757,81393282,538763521,738996525,941833054,451233824,74079412,-1,131492198,777381817,658084123,-1,619821906,-1,244406024,302490663,869457199,-1,386256221,438096074,352040003,918139174,160581544,-1,-1,-1,-1,964927537,439189574,35863297,342112520,733800415,-1,664033578,112125197,240255570,-1,18701129,967733246,-1,-1,888192827,-1,-1,-1,701086277,-1,671024430,-1,750339909,142208412,72561968,-1,572567064,886746974,165443029,402465587,631896631,28374007,-1,119707159,872301066,882024680,-1,-1,136159765,568414333,-1,536788000,433730269,579597807,668380603,873998918,793362524,516015036,800171750,-1,357844953,117012551,-1,479333333,149618710,631338634,-1,968809524,652616011,471095299,-1,89139492,384460315,36232193,950440585,469070546,-1,-1,-1,-1,-1,-1,803488845,669550234,-1,-1,34950803,484243672,426581578,627418319,107550242,859339014,632328134,-1,-1,-1,896751651,-1,655748177,-1,351952553,57726522,81383342,938962336,-1,739798584,-1,416381301,311926229,187622843,-1,720720362,-1,-1,581044084,617005013,959668438,-1,574152242,911328551,882119520,639188000,-1,239201379,-1,574372723,484788993,705227532,20613112,369232167,-1,565664533,203420049,848443414,152519829,235268674,987709731,439995852,199396375,-1,-1,530897129,753729560,735281813,374554921,824170702,-1,-1,386783841,-1,475206889,-1,707171051,194855566,524752059,581388519,721873579,602804553,-1,548944544,-1,809572306,180042529,48761706,191128404,947598978,179491998,300040396,178462609,544394079,351122609,320384617,347288013,557174295,252717601,765874770,490199352,966428148,369298520,43193820,-1,842604137,-1,924462380,695386055,623315530,30146681,84478410,604385115,83322382,796581802,-1,218230668,-1,-1,956861692,664204640,512762416,940415900,844026959,929028038,803891254,-1,-1,549711565,576597375,989714600,-1,-1,633234590,-1,519376256,698011309,751587114,550239693,947344678,-1,616525103,-1,-1,621297254,-1,-1,240535239,959072334,804610403,-1,104578087,598093678,413730687,656662190,805873503,110611134,257321457,564058726,313503439,634708277,649867297,694341216,926076400,622110794,531385909,69600619,539740564,293425798,134059051,10983954,64205314,-1,817467698,630131000,-1,624578383,-1,-1,687690314,-1,25221535,666889982,993466728,468545804,211230532,-1,-1,250964538,117467800,290519538,686909991,611690885,634187643,985993622,329479419,888555398,-1,428787597,24616349,-1,-1,527494295,898595345,301362436,999014787,759511822,-1,-1,854229769,-1,-1,223711626,46117160,896587455,827946589,59224890,-1,859131466,703863075,588616479,137983218,226940535,856889666,488607681,624435712,324711869,775824661,-1,704622380,-1,577820544,37537996,611285222,-1,247926803,-1,-1,323912520,-1,109193715,369139311,76115775,-1,899125218,958094897,603197351,-1,108212281,-1,807545101,993513439,535573524,951268687,119992089,113361965,245107361,419030882,815024896,443941234,877249951,282733213,341962202,278962366,-1,270774240,112374955,-1,-1,-1,-1,218586774,510784989,-1,669995914,509705877,169794823,-1,-1,555441889,841261190,716544346,349543220,718203296,-1,15634438,850093115,329107312,582297297,863445081,49843996,-1,490994186,553362016,943810391,665440377,227526481,942658231,601061163,325894196,-1,47025752,688927763,-1,766504719,-1,138072491,784388648,757118733,746380868,415565299,-1,569364133,858788348,822468723,401912216,-1,-1,-1,-1,461472244,674811801,120493806,132771951,-1,659780399,-1,634154327,138080452,468484846,614031950,-1,624326027,327889391,529359345,-1,884341146,244611989,365497509,522674790,352162723,441627585,284470432,457593481,217949523,972123527,553711229,518270030,225658772,-1,315541078,-1,-1,3907427,622439137,491353532,547786852,904888747,-1,134732448,179903340,-1,3593998,966089411,713006719,686691642,701381312,-1,340863649,956435244,-1,122922532,769789054,898365730,50108144,121851923,70371410,133871211,710412147,-1,430526034,772385047,420835237,-1,-1,-1,-1,301556601,949464307,-1,649273390,-1,-1,736072193,416548546,949262255,391878009,-1,-1,-1,830511836,281803162,-1,928196907,-1,37426413,-1,576552812,-1,-1,679070176,842856491,-1,-1,245916227,33520332,653848798,473103920,818030863,-1,616222829,326822815,833136420,245053967,753958188,474528550,610759834,821175236,609366434,-1,-1,26064611,183331968,-1,605243850,894265260,563041829,-1,524102438,394292217,544364230,642431867,243753698,-1,740141513,778365822,201197752,606243345,479387516,-1,798119669,511486818,244666112,852347016,342408295,251256978,443585388,-1,-1,232930743,532232595,126998063,-1,769475083,-1,350223479,183171776,-1,585289094,495406243,-1,-1,31824217,596666265,487251997,-1,705404585,213268636,-1,-1,-1,207800127,-1,411369292,-1,-1,-1,49402104,885799056,-1,217546087,-1,599469474,-1,-1,779305148,78265456,245263351,-1,321755781,-1,682530061,113786048,694757569,932109126,-1,278186163,12818639,-1,-1,401208626,-1,33172125,623524045,-1,883051821,-1,-1,896710855,696716488,258628510,435924694,853995125,952399912,-1,33567634,191376585,841941515,857728292,261980821,-1,-1,-1,199768104,698279224,-1,62723873,456886545,-1,-1,351750554,641933233,-1,870483472,326104738,521344679,649549053,568996614,-1,384736141,599247176,84398634,-1,447106453,784602935,296311338,-1,262202567,547673199,734901014,520705095,116231813,385303190,690105640,-1,372176386,600658630,221335171,-1,889931852,-1,632340981,-1,562253335,789855937,711611880,540449231,-1,-1,687266292,266129171,694482576,830903878,920791719,86122393,546945736,-1,642376861,535816611,823096006,77775317,245984807,-1,-1,147396085,58525372,277028231,995467922,874469416,712693056,385957152,438281860,437890827,396709499,382760074,173855692,23105363,-1,734096127,432035918,893256216,488799737,675429321,500068753,966052695,-1,300217337,-1,347844336,-1,-1,598108697,482798711,766149041,958463707,736845778,-1,-1,-1,-1,242194142,252892367,259150952,488341658,475715010,306136666,660567455,65594296,-1,230487907,-1,-1,750646035,-1,-1,-1,782250494,13580520,349214089,94372950,73540723,-1,-1,904152783,289878456,403463061,360233531,-1,904999737,847901611,207753812,232958454,977362733,767961896,-1,668003685,174600926,190531547,-1,403157361,337640248,192582160,-1,560944938,936860359,405445765,819126710,109933016,-1,-1,637694128,-1,-1,199348479,747808495,245413649,611947176,735329513,42596840,640738552,-1,111549833,747316728,691079320,-1,935521280,891420028,-1,498833397,349651870,369538253,297393068,-1,-1,-1,-1,678212285,991549026,468821658,-1,759050715,-1,542347803,926734964,370993999,410420773,-1,563614567,851461300,128865687,-1,759202106,297693452,-1,701643286,188425898,684114378,241530855,454101554,221167493,-1,520201076,916316886,867794850,330098010,631094496,178780734,486759590,916420345,369387184,803090844,-1,307058960,45165684,-1,783992097,-1,658566202,-1,-1,445439502,-1,-1,209643894,-1,-1,810048293,102631996,62176434,76500040,377873298,647086563,614126892,99207451,23170012,-1,-1,557101285,873991573,556168921,-1,-1,-1,-1,45127920,813519760,356261004,501271436,453318904,640938110,600757345,72051535,570422614,115769430,-1,362813349,752082430,-1,162789051,606347900,91061320,96344081,749691832,335647679,-1,-1,-1,518340875,-1,39261706,188308093,457864226,537401602,890557209,350253654,347836564,713580960,-1,562660014,571307485,468518234,292525029,309877691,57639982,20632313,752550524,915518940,513752811,868655792,-1,-1,-1,-1,-1,820994505,-1,924808004,596149875,459860705,-1,470179908,488361318,-1,-1,997012543,-1,595503217,919600351,-1,-1,978160980,-1,196829556,433764576,379143140,-1,882587227,849466596,634451322,107701714,894087373,410905365,955931796,78336951,453102022,-1,470383734,941607147,-1,302687630,159038784,44418086,874255978,66305412,251672458,-1,310085377,382061240,434654153,660962025,-1,-1,166550651,-1,356356642,867214071,546571695,180429367,-1,-1,-1,378463761,672569340,867559073,142445154,865439688,-1,167618629,389049339,-1,460066575,-1,770559611,214078659,272300326,784401756,895810363,-1,57743209,666045038,508889618,260996463,58075661,89011056,619734278,24516630,571695568,-1,283659923,-1,344108659,322480513,949612124,932280098,-1,214317690,224766675,29770922,599241002,266983183,72741227,785737409,177302071,641391814,238819420,799783510,3736192,169671832,416690783,130486793,860266429,92626883,128041463,-1,261840342,805972163,793446689,539021140,-1,250204768,972291993,403612071,512851822,170505508,111725804,641951844,667322533,169725114,-1,449878251,782941328,-1,62526858,749653057,200169695,716378916,380883396,-1,-1,317203227,620625495,891750203,571712797,826739242,11286686,533959098,-1,900434573,336801379,658562044,-1,-1,990872268,371689507,-1,666666696,241186521,-1,-1,-1,61461104,-1,181951954,525436876,-1,-1,-1,-1,983040795,946309213,-1,169991593,448860974,746976944,896348653,-1,257379596,852923554,-1,370274053,796092782,782978654,856190314,761741130,-1,473814823,788338289,197093129,849925405,-1,308241930,409817873,670599324,956516257,301331688,652859003,480497043,-1,316995158,-1,147602621,634862709,-1,425170595,-1,230731191,-1,-1,402090593,182545114,579680612,-1,522388401,2720653,2009724,622337295,74125768,661041665,743067153,97576671,-1,-1,821082753,322272639,80409471,444476584,566392594,-1,694702243,526447155,-1,-1,230483679,972383717,145667109,193929647,-1,808582098,-1,-1,228406274,741382224,-1,812973557,99879389,934085365,-1,-1,406804504,666827784,-1,529816057,-1,927563295,619292311,163353680,-1,965722670,842273163,-1,484261917,711052739,-1,969015354,-1,159056382,696696793,-1,457813473,868539452,233079324,151835518,728752233,642986185,-1,-1,428269730,172854535,758001117,144412090,803852847,59866408,-1,263339598,-1,-1,897446450,-1,311561639,426226369,-1,-1,-1,511597661,322550329,-1,700845253,191287972,981720408,413640228,192656261,742735301,408093363,309683098,-1,314803720,714250801,-1,112626622,29834366,23489680,828087951,189911144,-1,681276071,603579553,529408428,304665677,180743812,694179395,996847517,773490715,933515439,-1,-1,22886052,251028135,101254053,485761939,430529495,-1,308152952,60789566,-1,269097970,763936412,-1,358707267,308907263,-1,-1,580239290,649443653,859917425,987809589,-1,362877206,854363919,508715489,538438672,-1,335950112,-1,302194715,745085706,-1,582466816,898676824,10761834,998296582,-1,-1,432746237,939276271,487149169,-1,669917653,-1,411254201,758659015,72563135,915717993,-1,-1,-1,88495497,204031169,-1,116664190,666095734,-1,967062550,351127356,539327049,111868263,934735701,576496485,239024892,420630142,751816669,-1,287987917,744773355,-1,-1,919881254,551609797,832005538,-1,48225208,-1,809333205,-1,763101205,624417833,-1,522043307,-1,585321823,733658571,21150380,892823163,-1,935593445,636053309,870667500,-1,11851354,-1,-1,747341194,537023949,579048807,101887216,769244594,474510145,799020962,-1,348523269,59056961,230465300,-1,749007006,-1,381426641,566387267,958645086,718887209,-1,-1,-1,559608321,200832234,622807489,608905546,441509785,-1,884472961,151657780,647210123,581701831,741016292,-1,890326679,161941384,763794907,667411689,-1,457119533,618186146,663404406,895116156,696021644,-1,-1,618170570,958051004,-1,298623333,724950960,558021945,738107274,425561844,-1,589353801,771248767,145068456,325756036,940014075,513856575,-1,196959226,977261812,-1,645227246,161059906,-1,213822351,470679511,912624673,913616719,34163332,864752848,135721625,-1,-1,605280303,-1,-1,457239834,-1,460963506,359942106,436783652,123760558,109793781,-1,-1,552425756,-1,-1,-1,506294233,-1,24171936,-1,919821109,553694421,603222046,281434568,-1,206552356,717776121,638120500,415828485,420470245,857378235,671478616,507586722,-1,8239911,945370401,670304354,513051869,435483675,637767285,-1,237967832,587963505,647312345,825750439,-1,660403611,-1,-1,313207522,-1,-1,808102619,814535511,687221894,-1,-1,831111948,429325795,484874733,40536993,383815355,-1,-1,979186224,643978222,887919849,366628044,-1,585662387,-1,531361700,505863184,481621804,206450999,115250348,-1,436888704,-1,-1,-1,212110524,846589904,938115184,569337548,-1,703053920,351986888,689838804,649501276,591621346,753616211,315183153,-1,-1,-1,478777074,-1,259916875,748880985,456549932,85520354,802233623,775387692,587682662,273574156,305122847,485880715,187081104,391484132,209920163,762571487,-1,826446712,-1,-1,150906691,345031366,349983838,-1,-1,-1,806303124,412779461,992929753,274876635,356186804,393314112,-1,198949152,392559281,414697804,628735584,709741566,677388682,-1,282001476,664838401,898047700,385195712,-1,58643344,134858867,33183758,-1,691108274,180960611,102156412,886177379,310828894,980819614,647993499,105984352,241228796,520303093,617413389,-1,72648857,-1,-1,806449272,956982782,65962908,423748326,-1,-1,456401754,602926574,625990664,403772123,-1,923502489,960827625,862731557,718473052,-1,-1,-1,703399728,993361433,-1,505159495,-1,231980216,-1,-1,804745895,234171263,-1,-1,602636044,-1,-1,457912874,771318558,595227732,288310466,454055736,981164010,663270714,-1,664206478,133122739,-1,517929309,786961012,993058333,744275196,-1,-1,573019043,-1,-1,545533580,-1,616699039,-1,261165345,557571260,141582206,929190377,230805899,424702987,-1,-1,959594872,-1,670263640,267423941,534935083,681172931,470918299,238972494,-1,-1,111185732,-1,651693186,595992475,226083226,-1,194956034,-1,-1,911281247,430520054,632688891,347299569,-1,773272867,-1,786328388,-1,-1,-1,471044575,-1,-1,339265598,334770129,-1,569264171,373820997,322034509,-1,372373370,650193801,670795762,-1,484973588,137262916,890161349,154977465,746936258,557537299,762670888,230786405,838685840,765860493,-1,740730635,-1,-1,-1,580832517,31586209,-1,898954651,549347013,174597088,616569011,897807870,998829963,244394553,504425604,783702496,817475188,397258005,473580266,531733348,-1,-1,969602112,927548239,-1,-1,914412229,158541597,982259395,-1,380664357,157443822,560654064,875352494,483904799,218298729,469497296,-1,-1,860583612,-1,799863065,-1,220279869,622945149,455462440,955511951,727968345,437806814,624657149,77812234,630724649,230261958,500873133,-1,-1,-1,155597415,303207672,-1,267722395,972340931,606051711,-1,615785907,136015891,647539705,53658899,283298044,-1,-1,183679616,25877082,797608170,236755196,811172338,-1,-1,162604703,96845826,-1,-1,-1,425794099,-1,685617786,462715710,-1,-1,862047750,125524621,874516851,-1,-1,-1,291100348,-1,-1,-1,275563217,-1,920019049,552879594,372593242,181637535,314255025,491901007,295983810,152239820,-1,153001585,-1,322718021,-1,412312445,949053109,821224416,333324543,97584703,-1,6158213,488618310,611085438,31689429,911923189,375468841,-1,-1,40198259,-1,615294660,340326631,702978156,706904025,175894798,-1,-1,-1,962132235,537579272,256055420,-1,-1,71232056,-1,919465300,762207875,426781026,-1,435274903,90195505,744935280,306349218,821966818,71391090,18339690,-1,134537057,512746023,-1,665243199,494897312,908331673,101632888,-1,-1,-1,222827134,562236838,-1,-1,476441147,-1,-1,744864417,-1,570174522,-1,736459012,471094476,807481342,901456408,59288257,282312546,-1,526987947,288341503,103535514,216982106,916907027,778376773,541943179,622560572,-1,300970810,434379353,301444677,746906844,551245274,-1,542021934,738096778,389721327,395726579,-1,682525196,-1,-1,991800901,975581866,282336297,321488744,27216207,550493857,-1,138879614,-1,-1,468823334,556489365,-1,565993585,137807384,-1,195592090,630457366,-1,155604470,17823737,6138623,-1,548529879,-1,335024783,755602011,938843104,39494643,915205466,621700319,105744801,262198281,954331348,726500409,443366427,948662291,274769302,55810662,-1,-1,976647217,539502966,470997613,-1,246496710,601394070,-1,-1,13359679,662848622,-1,716847339,915334418,444593181,653634527,89998122,717764437,810266640,-1,753145240,618415985,-1,644561651,-1,5217143,-1,-1,757383304,977236863,618221051,992010392,469622832,313591673,-1,114132050,-1,852416151,-1,-1,-1,932157172,886533423,-1,410361776,-1,845838843,-1,-1,433886075,-1,738247031,264347686,21131057,619301739,-1,555154834,630321587,875759562,622709764,411397641,-1,559496854,-1,371644634,59200418,14770740,998434781,539908126,572640994,-1,275492379,-1,477256752,705861994,-1,255981638,40640894,-1,314223348,173390366,812487517,485960524,746883136,-1,732263059,-1,-1,-1,132716111,-1,849952532,235331848,874038130,652546116,378670199,691467131,213852436,-1,348225707,584312253,156185514,3035181,211455960,-1,691668420,-1,119254501,-1,106945445,33770798,-1,375864194,56343749,706425149,503398872,76778609,115918585,620925572,64226468,-1,306313301,-1,984431718,-1,39950962,51962011,905735375,-1,-1,-1,701822763,665424502,-1,957958691,634797893,-1,752769527,150541003,170497315,-1,142069105,-1,270590702,202232283,845317612,879417488,353137329,984587658,520657756,442924166,236445129,961850355,597953707,260056872,862247635,242288265,318763320,58914867,30418721,77238022,573527600,806090848,920812215,-1,676927065,141024451,712533192,976701031,679121504,489069663,778757060,333711291,802824389,719920188,260150744,977973766,129428737,930876347,578920920,58778564,447771479,257840591,-1,-1,-1,626775396,976997703,689846826,-1,-1,691667162,935946242,168669410,753027879,-1,-1,721181635,208443249,111360132,982252136,-1,-1,-1,-1,390638204,347143081,649736850,582699441,273313710,702986605,68537237,-1,268224422,-1,-1,580621673,573580741,287168611,79205757,673970473,239920401,767740640,554428289,935920415,-1,-1,555333814,-1,775599838,675565500,-1,404957415,-1,193369200,248709466,860875780,537766188,-1,-1,157983641,-1,859881043,706240698,553093906,714495395,553345229,644241801,336117498,424757061,718284457,452391055,-1,798581939,293213770,603681848,-1,-1,996797493,358534943,-1,515061831,150994741,54570646,-1,865385145,635319038,330776455,94554454,240382516,-1,449472166,-1,888370695,278349600,511498750,270713530,361852217,111318860,857522318,-1,368633482,408239731,477294805,790269434,617682617,737255621,-1,238486756,899951027,670270304,-1,75028510,404484859,109527554,-1,-1,143084882,-1,521388746,123081927,947357933,439520822,355546951,-1,-1,969456981,-1,100668594,-1,14719262,528356020,585593324,25785693,127568363,852411754,158053843,-1,7014967,967894912,582220461,58127035,13574615,-1,868420469,408973993,169438036,-1,12351908,296589420,-1,750627887,-1,3585186,-1,-1,-1,527507121,729075436,798767680,229160066,74702906,-1,197050027,-1,616953781,705737584,76694045,485976131,-1,313666042,148077079,936888512,-1,789448207,561840470,531963529,808111834,-1,-1,-1,657169378,702981758,105210743,365679784,502508096,484368675,-1,526538095,884884556,150987327,338571330,87751215,575044575,-1,848366887,289740480,109474871,-1,545976760,-1,538002316,-1,776048555,76633991,-1,372719823,-1,231562832,710517317,111778314,550270981,-1,18110145,696591312,-1,938642584,254125635,-1,475184343,808528776,458571141,41976773,56822671,-1,924229380,352476000,-1,-1,831865422,276893257,149134608,-1,744504900,414865220,524909662,315037438,99036249,530362446,-1,505659161,-1,280964361,-1,-1,242335554,390494693,-1,560192790,894493293,-1,-1,14473629,-1,-1,160824024,-1,451282482,344032599,133503659,503407245,-1,-1,-1,291774735,152330740,195054471,-1,-1,-1,-1,492529027,-1,-1,549518475,-1,85306231,96658325,206857832,426206570,349824601,771211202,59221258,989627567,803396465,-1,-1,339432362,980918937,231611848,945014238,-1,108076120,633410275,735683934,706238024,208107917,-1,824488338,730923175,971917261,-1,-1,481269120,729627236,376800751,627688109,679857440,871248990,-1,218131007,-1,126512840,-1,-1,164505598,626587407,595373175,-1,800657622,-1,-1,417389460,881041817,273871176,606829107,730692967,709761026,-1,-1,-1,757331887,421093028,587781455,-1,603574441,697494499,71666877,164681193,332587054,-1,7634144,610554816,694144961,423650659,509517629,56883275,436999868,-1,407741674,700410851,461905026,59234285,727815039,935882974,10746724,-1,702602199,642194380,330713384,760266561,-1,48031705,125577123,370390330,835514409,352491978,618455078,476723134,266480373,568632801,851194624,585910787,-1,147187914,372203701,-1,948919906,566949334,-1,568495947,434717185,318612907,207585408,-1,49833543,867100647,-1,2074753,227032215,193920651,951020543,-1,-1,335728828,74872666,258155674,-1,-1,397128000,97524688,332305839,786061449,810069943,379074028,762825503,314863483,856050075,828218891,758956654,803823005,-1,641140902,519549667,391057551,543387851,104779392,133828855,970651045,383312305,240234059,-1,-1,-1,-1,186652179,305824981,-1,715330676,447545992,214873558,929921664,977002033,-1,-1,-1,375103326,-1,-1,854763256,487848374,-1,610057231,-1,639673390,225527368,-1,125010568,515865911,-1,781089358,63257052,-1,889740900,660639040,558571222,509076993,990792626,768467321,450871805,698661636,717272878,673184643,68855286,762255513,29906646,970062786,228920438,127981714,-1,513367258,798363953,-1,-1,383816727,36392707,-1,854219415,-1,-1,819736554,144574394,262326326,762049396,-1,823961766,-1,392975770,955427650,188426322,-1,330245438,-1,642336328,102437090,976651534,-1,264620538,-1,-1,583547060,-1,-1,431204554,348371404,177207351,448870641,383094470,-1,-1,-1,464045589,-1,69032044,-1,-1,683570686,-1,-1,34811082,-1,95210946,-1,327883322,435295999,-1,990305097,-1,17520159,90850432,-1,602775922,415680469,518476744,44649241,-1,83911392,11068685,231350094,-1,-1,748369518,242388825,-1,941783818,538024547,-1,-1,-1,820963336,-1,-1,444788424,-1,-1,-1,-1,-1,310902844,763702153,-1,-1,328006633,-1,-1,-1,482301277,264253898,22519245,-1,802579768,-1,40083841,330243738,828682793,68991807,187160908,974182230,693074457,709484130,442473248,-1,48836908,-1,900349403,882736305,512636490,960147919,814874183,926684789,854328312,-1,740266000,484352732,983665563,369388555,514125157,1818001,-1,205354219,517798253,510812978,442183622,708204674,939959317,522273959,937658858,-1,752256424,-1,778068105,478325262,823848687,399690296,252484448,215848588,169050823,937470796,96646090,656673638,-1,591303016,574352266,-1,31442788,-1,464568506,-1,-1,374192724,-1,31681908,-1,99236312,-1,521473501,391285446,206099244,496962433,635806740,-1,418172477,525857530,87605242,887037545,184594259,292939429,-1,-1,242543375,-1,188813344,-1,-1,872668347,-1,425562879,-1,818784348,442986177,-1,104896521,258797054,-1,567858412,963295623,487422834,666812317,-1,-1,760920936,-1,-1,569218474,-1,913647901,129270351,969499088,-1,860512885,543136377,-1,-1,774282907,960894187,-1,957248217,511208760,-1,202151492,514618657,627325584,385672743,951035274,-1,361916299,52202892,440125168,218935901,489229276,608377762,-1,-1,576853448,535904383,884623924,784043725,135459036,-1,518741333,18836176,101393974,843704991,-1,609476081,126416815,109963378,-1,251721006,408894093,991593465,-1,627456802,-1,338241206,432406482,517249116,377696558,-1,955460048,203505004,286275571,669929710,-1,148216796,-1,9731582,-1,810808162,299886493,-1,460721171,428942570,336152037,-1,53298469,852426551,-1,443795382,-1,916145732,-1,509189206,437885805,-1,-1,90274985,-1,788981194,-1,471316029,841438036,479615445,107784094,168607760,203462691,793369471,823989150,652808538,542102011,944697382,703367079,-1,781894771,179313560,35092704,567934448,-1,867140071,174574180,-1,-1,718023536,908984434,-1,707540117,580995467,961627475,637866580,433772691,554009073,333355766,-1,-1,252035588,143694550,146406693,421796959,229142127,-1,22132851,414618612,-1,617335124,100090063,-1,704226450,-1,-1,923016773,670291730,-1,706934577,493085267,828447465,333294268,-1,545369954,864650891,52235826,554375761,-1,876432978,732921202,690236699,963088197,-1,152229877,834170596,990069043,-1,-1,851303778,653934444,-1,728051889,229806057,218572321,346930838,219782280,511056109,-1,-1,-1,983473196,967783691,421847479,-1,873679382,-1,-1,320865402,766022807,94863796,574677297,-1,-1,131564715,-1,624999,993963260,-1,136414530,-1,414480958,937954272,201440323,327461463,-1,340102914,725579968,400953177,818118495,807760406,175884081,-1,150764364,522526799,69353399,605537811,405888846,210530858,989803959,-1,477820378,938779517,836856467,960909447,470615030,-1,-1,795200741,-1,884861809,583361773,653374827,-1,847307451,214230625,943877008,-1,699473884,477870879,361774745,989309188,122005197,514007746,699531416,87694323,-1,752019033,772356685,569595496,-1,-1,1204072,491136853,-1,-1,992889188,580238704,-1,-1,-1,575719395,637679511,340324274,911072992,72563390,830762141,-1,756530285,-1,-1,714885869,-1,210059535,712532561,559015157,211380324,524570888,85324359,381447743,922430759,-1,989185649,-1,962204813,301344136,32854693,333743041,5683383,235153736,16514782,622987473,56073663,646624788,944900721,648613437,513577513,100247584,256369634,797058650,-1,-1,146462367,387425580,144119122,132097809,414049089,244830272,-1,899626350,-1,610127174,-1,-1,840775839,-1,-1,-1,573101682,477575132,909089752,-1,809629423,-1,-1,445413517,572174755,-1,-1,967461540,471340121,-1,-1,417036402,-1,643469299,617194921,-1,398615358,898307674,562642889,-1,346483385,-1,14532201,-1,252475897,-1,-1,-1,395498581,789599053,760988177,292374920,-1,676476382,-1,-1,238956019,155254583,335454783,-1,258516101,318969451,35695804,-1,857871986,294922306,638184218,533444092,220859312,715082234,996857045,-1,-1,-1,714080338,357220187,-1,159676883,-1,-1,102840381,527719163,436709982,-1,366173182,-1,702862296,414365053,-1,476035535,621204286,782778283,-1,647305111,562224724,313414556,145709653,540906013,930395039,-1,152931940,777102462,243662468,75401279,826151118,-1,672383187,594138330,362973839,-1,-1,188318369,632725771,666204083,22086998,354259880,575594601,532925530,253470359,-1,-1,-1,78938174,-1,49515038,540648085,733045601,156607957,793483965,-1,-1,782205415,280908626,969558548,309437091,528599420,805330836,-1,516289367,527485462,-1,504003650,700279786,974725973,596893788,164177119,443506613,221859650,-1,434334082,-1,307544394,676088516,-1,220972457,40147261,719590054,580237011,23383423,446342163,912545693,210358714,680488791,783363911,-1,634145541,290240813,262193404,775387499,81782227,755570087,989875302,595555125,-1,422078591,30297021,-1,-1,236121381,714795163,542820084,-1,-1,136480330,624094324,-1,466910665,-1,-1,484656070,760837769,999713532,-1,-1,-1,-1,326935788,722063985,731677395,885785433,212973387,-1,540327536,449260065,-1,-1,-1,-1,-1,789117188,608787757,-1,880369945,-1,961843206,473029634,398552721,-1,239482481,490497337,172615983,856051768,942170765,849090575,-1,202547931,-1,880009157,655519947,-1,132148963,133124991,498565956,75055234,156547111,314273222,222174819,561055829,927279024,975039522,433155168,875510356,638354338,-1,-1,754680672,95791942,-1,526902662,124412927,236938121,947066097,508195303,-1,579908594,69910152,375061754,470692030,548061509,-1,609103800,-1,357312334,-1,-1,-1,832765906,82261186,511537401,509816478,-1,413031788,616444420,213775437,713481824,186074810,728425974,757898739,104624609,975062478,-1,761783711,829508902,721939599,566566768,38086838,184245419,269071341,-1,-1,902012247,-1,275467783,863177973,451575888,97658803,301357299,-1,548064371,793570648,831515454,-1,432998737,-1,945201471,291344071,20662745,855615925,172579667,796860374,48568770,-1,-1,201235872,-1,388760815,962960760,124486070,951521769,714819599,144308239,662128626,66884717,320545617,421547089,216737123,546156022,465083985,963696895,-1,631010763,912596446,13650428,344412357,38160045,-1,-1,-1,-1,752576739,158881258,-1,-1,429709642,333282389,570998893,111085489,349092403,-1,-1,358963152,399992237,222143247,851525913,508452041,778674864,804388764,466182960,200095015,-1,501746974,364044578,100820797,-1,876096184,-1,-1,-1,-1,-1,796562955,431907696,86228533,478318904,-1,620601805,315607704,-1,19750276,503700534,618679156,-1,210678055,-1,314862612,483777064,-1,661490542,-1,639727756,961330220,-1,855416597,210523026,-1,-1,-1,-1,891207234,299455636,-1,329269751,33525804,500900151,-1,149372592,896118424,406226900,746965067,57643764,-1,436065601,57049072,958641794,473137520,849509742,-1,721090630,879534992,-1,529545801,480987780,-1,694405589,101693535,986614299,-1,282777096,790124918,764090928,117166892,303950456,595119028,956056396,830346496,9636845,139139859,-1,298363219,310231505,-1,151289282,909003148,667237883,725220631,36781638,487168372,449111914,-1,903306425,848050300,-1,923118125,765269581,810558494,238452899,331783063,-1,-1,577026949,-1,-1,870224413,914033941,915368157,683352467,237849682,-1,-1,899471169,154595748,-1,111045587,-1,914105167,-1,311644723,-1,-1,501186012,-1,163173665,-1,359949183,230993877,235090083,-1,86853401,252059475,-1,-1,923849696,-1,221623633,980276033,960618040,142943501,947162952,-1,242048452,156920698,263436700,-1,-1,-1,-1,87649841,948051858,497135776,221191378,326828086,359112613,739551769,710574334,-1,630233633,941919042,156311069,-1,833274238,-1,348467422,777166004,-1,-1,-1,-1,-1,841900649,858691056,55898034,138128406,576023749,513798090,164257851,-1,280692153,732092536,-1,-1,548050109,436643661,436043444,742262487,788572288,-1,330998864,958942856,-1,379252368,927718665,931590772,-1,388158875,-1,804895503,259503143,-1,655315620,-1,46168514,191322345,-1,564498289,711810612,-1,486777969,679425490,-1,-1,-1,479682094,60988522,265124598,217012704,363560302,-1,373526081,615206890,410322813,866954466,-1,-1,-1,-1,909423359,103216021,-1,-1,571009274,-1,-1,781649894,55836530,474274987,-1,858794217,852329023,-1,825141301,-1,865572654,-1,321491111,732281268,85077193,600441976,723826507,330205101,419999454,148021654,480247335,-1,975361214,791086717,703266825,699260708,-1,307535453,35968701,343657582,-1,617860496,174625851,515971473,567496641,422588279,22437751,41161261,-1,100996276,358192551,-1,190798571,777745014,734573551,393798303,-1,89462958,348645526,152622319,-1,452047737,-1,151602681,482537484,503043092,468037229,499695464,308778692,931158889,848536183,-1,230782584,476801988,279002607,-1,997094473,-1,-1,939517288,-1,679558665,515398063,-1,-1,966159045,29763025,971859570,287943582,397695196,22173664,684952872,701180685,665427523,-1,590789128,-1,-1,-1,448023789,-1,975935449,-1,205590188,611382273,715688117,496377580,-1,550351094,-1,60731397,-1,218266928,-1,196957934,463829049,-1,582873802,313751635,955297867,902397983,252818457,-1,440604786,-1,776367663,385355548,-1,268930489,959638383,2402597,-1,415571377,-1,293029571,990608529,223602581,797910679,57167434,269438438,165203742,304324859,404797447,-1,53200443,-1,-1,169115737,34078351,660833183,653702635,455684817,733925586,548329159,-1,175799731,11594892,875686711,315491534,317505831,815931344,647727648,642983188,-1,841565019,168209835,576436972,821971303,114952911,132333260,456873377,234942664,212281575,927546940,513644395,357405684,207773150,12787977,-1,159599272,155026659,465760028,-1,-1,397015453,20734690,135148806,-1,368515142,-1,488700114,-1,557099405,-1,573933339,12903914,-1,237500343,396218618,616152907,958630540,-1,-1,677899645,-1,384287284,436215411,-1,-1,-1,420960458,536892880,833890577,-1,33571813,-1,-1,976719172,-1,992493825,-1,578175355,679407799,536369276,416346689,747765829,-1,-1,-1,-1,346401006,-1,-1,-1,91010329,161759431,-1,724424166,895002786,-1,764207733,616677282,-1,732025744,80100077,996722032,348026445,382647431,165531094,19870663,738682333,151871930,-1,967857391,677885723,606770832,727386318,665311893,317010991,-1,-1,490406902,652916971,636232667,904384717,383822281,547133022,611842063,447349400,-1,-1,930013350,-1,176388931,79918008,435177812,140848696,566579088,726750,-1,-1,394807724,-1,470863193,-1,347174414,573490412,431673092,62889559,279372555,-1,71330879,549950628,196931264,-1,-1,757065241,-1,-1,376154857,691627504,756226024,102978789,550955624,-1,689307037,11132756,84014559,-1,-1,353640637,-1,964602996,604665359,360628969,680081391,-1,909794247,478923976,807992086,262623540,640076445,-1,319030598,105061422,130855241,868749574,376123489,256730194,726730461,509500195,972695974,74332620,541050659,476327757,379010459,989263440,164766567,-1,313122437,-1,883617098,909725026,693132226,190496941,116422785,181664225,-1,-1,692532555,-1,926330692,72518042,538553886,752506818,210160952,11715276,948030148,433313667,-1,177896321,47363031,732656753,736817142,-1,441708365,11326203,-1,829727709,-1,105998380,36198900,-1,720027817,491276427,431883727,614160083,482272307,179498011,168055348,217224791,581616272,814817859,973428212,107148739,49654168,93529094,656620727,581705281,953680017,92662603,-1,-1,314768248,964063142,-1,828968510,927239912,998041950,293676590,342855239,959664470,907478171,813531963,-1,410920479,715924178,-1,382106272,614349809,-1,498482666,916231279,752557505,555358107,460789216,803311366,393135785,351897605,933075316,585564070,361587846,544962482,293151654,-1,459546958,314967988,453552690,811866909,66984703,780632541,571419124,24805109,60559674,-1,17644805,438762782,-1,-1,921831529,-1,-1,117614250,815311599,703974311,730227459,366503205,166269973,-1,774515772,-1,873367188,305741488,344650009,708780991,365087175,-1,-1,247328049,943361149,357236026,333111944,96311428,-1,-1,315509674,505796460,850396517,741551044,126606258,-1,532212372,544234496,555988501,469381391,829358935,104001760,135054481,49024593,803522591,948048308,809780268,852502698,414319482,-1,406971330,323926842,-1,-1,-1,345895292,43798026,199511218,-1,470315164,724628182,284124216,217907411,761392136,-1,154715505,95954370,318678355,930981833,-1,-1,798797248,472545544,-1,63343184,-1,261223270,831782003,-1,283471508,-1,973047236,203984703,959738182,235713683,840146140,346013293,664814409,-1,214450055,728929459,181289027,-1,-1,543263155,826074948,45311795,-1,-1,975376979,900016996,244389267,-1,301419260,488546157,668452403,-1,-1,761028802,336903746,196522139,836899825,-1,383058778,424522686,851880600,283877390,998199246,389474430,427777180,35078829,-1,379809365,694289681,-1,637656636,173183154,39106706,915022047,785964213,-1,149379543,937281779,907561214,819013986,115793185,714375476,638661558,549272395,923046012,-1,611769127,-1,793379088,494127803,249826494,983635089,-1,981357533,793895049,31547602,754205415,111770460,-1,68437038,-1,719627285,-1,-1,258657080,-1,42217851,61113437,459712165,753806710,236635607,869847048,35485490,-1,343083153,-1,32568538,117173614,576997475,565703399,663434712,918167300,-1,725872709,316347222,-1,-1,-1,249498249,15987357,199334142,636140180,-1,158788428,938602779,392929902,-1,767623927,-1,718627848,-1,327113188,799646578,966063931,917772916,358708260,81454290,994023158,471411778,-1,-1,336485567,-1,258833118,-1,517063434,183109261,-1,965051877,987468884,365928574,790454425,-1,895870628,270395280,641450533,706927328,-1,180559900,-1,579178732,715843851,789478242,833176347,-1,539397206,399122231,-1,740447865,275834596,-1,573766499,177219991,-1,648065887,84751113,504051473,-1,982654122,814641973,658418026,-1,-1,-1,-1,-1,691640425,572072805,-1,516111604,771052976,489469242,285468488,805569981,469417703,214983802,65125434,539238818,528179553,730232054,297826904,11403463,924241522,294587492,-1,183185126,-1,-1,563749251,549732518,331746246,795564020,463510702,417207276,123021049,518421448,-1,170910104,836662477,-1,642263798,823281579,-1,-1,130586395,402460130,-1,610136396,129779750,184072906,-1,955609035,287882966,-1,-1,-1,436375558,-1,369967484,905747184,101701414,775724766,674456643,303355984,909485600,17945742,-1,180008598,373114698,614258979,23611627,136863489,204105867,13752607,420255548,375142625,-1,995046286,142567558,87527327,955276185,62296199,665154127,717941214,160713875,34982518,673315803,530714115,80580964,109722800,259944457,74410586,892577358,45074023,674922011,305471701,-1,35393698,526752000,993428875,19350063,-1,-1,266392230,960258404,-1,946370392,689620560,884619724,-1,-1,-1,809080529,488805189,312418008,-1,-1,653144856,-1,652517992,344180789,621604594,745461109,513715035,-1,-1,783494548,-1,319044730,-1,949421992,77808725,112694496,652432539,131146416,101776576,222223743,-1,893024941,167400175,557068719,845937955,-1,-1,965260186,-1,681871872,622593700,-1,415149637,839064823,470562451,231830820,708571883,-1,885566215,-1,588778674,412731316,-1,-1,334350499,286562219,953374483,-1,788669638,994596688,266860870,868859387,524735593,-1,701147774,678491714,849730137,-1,-1,221284096,601733408,357757465,342147689,543737951,720742997,200099998,-1,771682764,424658003,395080572,-1,-1,136637775,320607288,543674552,-1,553603662,338596723,496297679,883726468,195612482,558170219,41274828,-1,-1,-1,599596198,-1,397415266,919141175,596435385,698591141,-1,996742298,979603319,-1,589961851,746101910,465335397,780940040,-1,-1,709332311,-1,574758026,217982766,179395991,99468575,880092676,-1,-1,650915363,-1,-1,-1,40969454,564347220,-1,-1,892241723,401878077,377738553,760127519,227222618,935372649,944811451,972810606,452253539,884781240,928814192,-1,869167345,-1,-1,270768130,973988712,-1,266845158,-1,507899916,-1,-1,-1,-1,899787103,-1,425862928,52551711,-1,464723523,505011995,171344016,-1,340003450,13907317,-1,866933850,-1,-1,420520968,-1,2560670,-1,-1,2847679,616746491,239581294,699891813,-1,932528729,12233671,-1,479936933,914801997,727029496,-1,2658247,215080197,333125682,644247156,-1,318532072,798227891,136674014,418512271,733065898,539406421,-1,92866657,-1,441604300,125686214,-1,121614269,763606018,463917458,414404036,904822732,460783497,23469170,-1,949942059,705650285,831905098,973499702,198902138,172268249,129470879,148055235,616670813,-1,-1,-1,-1,77708108,853252823,397286422,988313564,-1,851231227,-1,214849480,119567896,-1,818490735,976166944,104684356,-1,-1,65435890,-1,739267231,199726197,803235959,67891275,71310758,992855130,645365749,476851913,599707777,-1,-1,438824608,785263960,468571052,328042818,968811841,29683472,-1,855817029,4076795,136559342,352520303,364072221,813208040,-1,905673492,-1,179812158,661909458,989841307,615330714,-1,226846271,-1,-1,770843887,615769369,387564987,283896373,13180422,721977869,-1,716266139,-1,212441153,957762723,189325886,276195961,379184081,598696831,703387357,464397275,524164896,426185752,-1,962447817,973376912,620813662,-1,-1,921490818,964869648,294664972,487929947,671257417,-1,604687540,220646951,513314477,867824788,450841896,426787923,776047410,-1,609758464,55006126,-1,200119675,961322741,-1,-1,-1,495647929,660077897,548785186,637410043,-1,427311666,946053263,500634114,836909233,-1,141062005,-1,458897617,793993165,-1,-1,924430174,630275313,-1,816950441,616836447,588648831,479562466,635063005,675633875,651903024,56770507,728421482,542963804,329716407,442411146,225531761,-1,-1,649432838,-1,881916178,408579770,924867747,917823908,-1,699692450,761058126,720148579,-1,238459529,-1,60722197,588781620,961848642,88341404,-1,106444614,365411445,-1,-1,418105224,783419613,-1,-1,459952185,391580821,-1,143678212,46388921,-1,546496995,281335530,352565748,-1,-1,-1,809279680,975144111,660869928,-1,501426252,180622501,899861662,129330283,768890439,271197568,755350351,-1,673944280,871230670,-1,454459962,392775228,266832694,50508872,683325357,-1,3434662,362762148,-1,-1,615395946,856194265,257551664,283507987,-1,337893260,959019328,-1,245278580,743273804,-1,915466190,-1,695766682,664129600,239304247,696234569,-1,37760915,-1,-1,-1,98147915,838378718,492463381,795658518,174824856,798183615,925684743,473959603,-1,-1,865742531,395645586,443956075,194645193,300192727,453681623,867229610,439229915,-1,15925224,583969239,394594858,636529750,-1,841015194,-1,71474818,-1,-1,-1,-1,916346163,-1,160980498,673076391,986572805,396151178,739834686,717380206,132921910,-1,166013748,-1,330044949,-1,259033468,-1,593444963,924387810,-1,-1,-1,-1,-1,393586316,-1,503454893,-1,479332771,-1,560588126,855087974,166483859,-1,-1,271223292,511312242,353731065,-1,302477862,284749451,57911036,103451484,914371972,231264432,-1,134992474,904182957,-1,282998358,442418952,990506579,547793181,977261069,859443284,594445165,-1,486002454,-1,-1,969106597,725332131,186465772,135355846,-1,242587042,-1,410516686,-1,163209863,-1,-1,963486314,-1,95800022,320237105,648011269,721526133,271483567,-1,460502706,863384959,570107752,863469771,286122895,199599165,-1,-1,207705566,-1,-1,579591913,198862000,-1,992430976,-1,874848612,327661220,964959607,558866043,6381072,-1,586544822,862737380,537212758,-1,135147462,84685437,356416666,929320266,-1,766028759,825824674,-1,-1,910737828,813799000,-1,644721340,714690750,866923100,-1,-1,-1,-1,720262418,547770147,548432215,532889880,924747911,629737137,111279075,-1,996517632,798903851,-1,347026701,448076107,672414389,-1,-1,-1,429648178,236414062,853583949,433328943,176860448,529772378,546351028,900993311,-1,-1,513327706,-1,-1,328164274,86806447,898117970,13084453,-1,96396993,559614040,723451845,53152905,554985324,638402014,-1,997335800,396860341,961970869,739584711,223479396,177441532,568340681,-1,-1,541316835,636908377,889585850,733546377,-1,688233527,284211303,601725512,572713117,346442042,-1,736138397,262193597,508114236,194123875,-1,322093627,397140038,454966238,92308386,784232673,233007847,-1,574425176,649529509,256476395,279461485,993728165,42403635,-1,262266421,327655115,647824798,631614567,937741060,307072839,268073252,353977923,330201475,706674057,301326402,585691610,-1,201346226,-1,554601036,-1,180800536,-1,-1,-1,-1,957895926,520061999,109918456,758342725,714890552,2855972,940567035,933569853,-1,-1,987149559,320252545,72175263,-1,471567547,126568514,72480627,528978710,857129681,542937148,948225189,435564629,755483404,-1,13295335,369044166,32608660,-1,-1,207412425,299413057,370683703,528881712,-1,-1,-1,693115869,744240742,212015734,377691022,-1,503631203,469345176,58986756,168512088,-1,317920206,-1,715345734,271825514,85799490,945791367,286474416,-1,-1,-1,838944289,70508284,742434827,371914245,255503264,375495590,954416240,-1,338750478,601873197,-1,305889461,371470167,200469243,-1,909403001,537198607,-1,360896623,566820429,-1,-1,497767100,800032583,437110914,-1,634207371,-1,414928713,941967633,-1,359592404,-1,-1,482254727,-1,-1,584553654,299637216,-1,-1,-1,922166509,-1,-1,-1,706905686,-1,633381205,970120677,-1,76278088,-1,301471928,97208319,725160644,107721573,423736832,542237611,622695544,-1,605482946,238091505,70123597,184589222,108092512,897907849,969641691,278899697,77666625,468414196,583973358,629146337,-1,775540066,223236673,-1,-1,251382647,856652306,-1,-1,-1,101698235,-1,713506751,661550112,816119092,296314339,684765966,-1,-1,576828685,-1,-1,-1,-1,626267793,143919398,728059818,774529465,334328700,191045149,979466215,-1,370531307,779121476,324356569,552136241,-1,292150360,764334971,943124255,924930887,643342464,782978492,318760004,808779528,848825867,4012601,449993090,-1,198974833,117459539,934926694,779658942,216122150,-1,-1,-1,945410192,30402577,-1,-1,731280901,-1,707713347,718167577,-1,268575360,-1,-1,-1,343096822,719366153,-1,626147193,451193434,541153336,-1,836722053,-1,-1,455223161,-1,473404210,-1,583289816,-1,945530787,495351917,151018373,-1,923478210,117561977,218384880,687572221,147500427,995315473,258076642,579565353,619143882,532783419,944767125,-1,486795877,-1,978009080,762348605,355246229,-1,983713573,33429991,187003400,832764951,-1,240826135,835942948,709593338,-1,198892969,-1,636152373,737501001,37355217,201782154,61436114,-1,-1,-1,-1,-1,693760970,710136675,756497403,451539851,425102430,942382606,599889469,832345689,560660535,107108220,676774916,313829003,283332971,-1,913743215,799274439,782973689,-1,336861895,687120341,40101219,-1,-1,-1,397088915,-1,-1,131945226,215826317,451487901,593522959,163340873,-1,945655414,-1,-1,748462291,334825363,621718648,858019633,162337346,264554292,-1,272516637,-1,-1,802430901,-1,-1,671264601,273804232,8370130,810908287,-1,200091664,-1,100612184,-1,210871525,386196771,74933038,-1,621082524,-1,280430026,-1,278606223,310149853,740529212,-1,192218352,433433766,565600424,900931949,141652208,-1,-1,718159734,-1,-1,246025672,-1,-1,309126142,977535021,649035669,65612186,-1,731308839,-1,-1,738372771,676958444,-1,-1,492784765,-1,776756549,-1,709535685,671030769,441633214,-1,201792177,397769670,-1,633097176,361040346,523607651,-1,-1,314510177,-1,-1,952138069,-1,506745548,-1,505857227,-1,860106554,316085384,-1,329149059,222783674,-1,-1,900497186,-1,694009999,-1,79263058,-1,226136973,339145795,-1,586610060,97097201,-1,560547940,788044856,-1,611341861,-1,356574315,297803396,-1,303306453,998890303,-1,-1,-1,801023688,-1,725702652,237188671,535503036,-1,768933710,-1,644115057,630987112,-1,992389050,190284351,973330329,966745472,837480920,532772297,-1,483668225,405869594,552124977,188489353,822464825,607098209,-1,109580181,-1,-1,743435983,461562404,823961243,-1,239528008,-1,133214932,391332553,-1,398720653,846421090,-1,129637207,-1,675946618,-1,638260305,419167174,-1,903513247,446263857,274901609,-1,974757445,771022645,-1,-1,962832777,654077915,712157414,-1,164278617,225558267,833777552,-1,-1,461047740,89414482,-1,938445979,-1,96096560,-1,331916146,370932225,-1,-1,987995759,968772437,686586829,387435980,-1,599289530,776588888,848728202,-1,703175939,49658800,42373296,-1,695229884,133105395,-1,-1,-1,-1,-1,-1,46635450,-1,601513288,-1,-1,782452182,-1,409920345,-1,36072691,645914557,984083868,620868517,-1,-1,225743763,800309976,567186922,278185958,487856434,950382610,153430398,549946966,120841514,416330106,44638344,741954025,464369407,399797956,-1,544460431,346830478,23548186,588389182,818471364,-1,-1,884507850,841217449,9333323,373706261,14006913,2259644,417638423,-1,735926759,-1,970450503,-1,328075959,374290309,452141415,55946724,-1,160186153,575748636,143481848,947625971,429695538,708797713,384641481,963101471,-1,278747725,-1,366108092,-1,776976938,493903794,430786086,227409849,-1,59545364,187990668,825460121,602174474,473802552,286111732,803532197,948432019,699027466,461611987,-1,-1,129222799,527746129,588532709,320673171,517887524,-1,332465572,597631577,642043596,-1,626449889,-1,107411225,249319821,865344932,156761927,-1,339675017,533094955,-1,355332912,583684727,409003565,-1,-1,-1,-1,698885810,-1,-1,827045252,713362056,515567278,368422854,-1,-1,-1,42467428,519301901,-1,600197003,586062702,-1,343663399,655660048,50618488,986447374,805529467,993274490,656984477,-1,547490024,-1,512827441,-1,-1,1703838,201251182,-1,304057867,-1,143574689,-1,83020104,422644728,117141600,37348468,515748978,485382340,-1,796552897,421697729,-1,712828708,45666202,560139759,-1,999900020,8700846,406516005,983447976,849845265,920787515,174271100,-1,253962151,202899896,18338885,722954826,669063232,96152631,-1,277397337,229271998,829578499,559588255,536275918,722470635,112665363,853054449,-1,289428215,-1,245938738,-1,699170425,642302744,880823554,815914619,19533509,595312272,898047017,658907329,469110102,-1,-1,699459434,308817249,-1,887688265,-1,248793550,332549330,348666130,970636062,868302364,964955840,-1,-1,73494078,247617190,322805775,432443490,400854177,76269636,349891017,181336070,207821437,911278959,470617014,890964337,625349073,-1,115275669,961714853,299399635,-1,16578360,202439786,-1,912444240,-1,530970564,580207342,218918819,-1,-1,6796873,832880114,-1,388952031,-1,559491898,400797205,59861562,856252064,103943972,958855488,934248132,-1,371474801,-1,664755201,789071184,183070359,-1,296766991,175241651,884097476,-1,118982282,-1,683382907,-1,281091595,785163713,930481756,476433860,407381362,-1,-1,-1,652331586,327926464,-1,729823513,419502742,-1,-1,101130750,-1,878097698,-1,400307021,710682031,135254196,646901264,230807043,66622816,525283534,-1,-1,-1,129142680,818783755,234019317,963933385,60908394,333339487,392334490,395675777,819076239,-1,36352515,-1,-1,213143996,913516255,560800904,975819899,883331138,85451251,946274317,-1,372301942,405050938,453607693,422715353,-1,824245940,-1,859421409,-1,74467039,-1,-1,-1,714188759,955543773,661855096,270158593,-1,290526797,-1,638992339,699000028,878807401,679629962,-1,-1,675653103,330667577,404257587,311048212,164492694,-1,-1,702688358,593033065,846839566,384626329,-1,509729607,451857407,-1,490654487,467404719,601042407,54210619,-1,620035732,909838113,194118637,-1,700562694,-1,-1,401829302,407704229,93555389,167926819,-1,169285729,552339580,982507171,309979829,-1,-1,455375859,152173071,35106556,704206101,589832413,743988302,-1,847573014,207269655,496386623,805195046,200779247,330196314,117637235,-1,-1,577605724,835205170,413235717,-1,-1,742719318,470964531,414635751,556610663,343305219,51125729,-1,97480388,853751585,-1,791632847,-1,813056034,730947151,312235354,-1,-1,558743389,626678239,391454730,453434803,-1,677120197,565128116,-1,428994166,658117984,214500174,511572813,-1,93167379,433102819,84652849,545898030,856151784,-1,712585397,765237845,347074348,799859327,178650195,-1,130683960,625954386,821506373,590695051,971650070,587985456,549137392,396578666,208986670,336732403,228081420,188401589,-1,876756046,346884472,898903642,620364890,-1,-1,387212850,830765681,607910572,213487871,-1,618775089,829930757,15587706,833750930,-1,-1,-1,840166261,212339402,469543205,911057457,744961091,-1,116415787,-1,274264714,-1,224953289,466501483,662654925,824696043,777304941,320117770,447211005,-1,10733550,-1,-1,-1,802825461,954118579,61705115,191523492,425043062,358807620,824770792,-1,212822542,-1,-1,284886477,-1,906371441,123954482,-1,556125931,944620523,717108496,788232287,220917495,195277862,680513929,362072119,620123253,373860079,79382265,948662511,-1,809415858,744065438,-1,-1,692165029,735410206,591546321,353985849,-1,-1,727014089,984899538,786945903,545571959,840855769,355533921,-1,636653875,738732868,218443536,-1,880297819,161834665,504427549,554912156,820829494,-1,28165162,470704349,658152889,608142219,-1,-1,153665930,365584005,522376543,905347229,892623312,980022281,338107163,-1,494071870,10477951,-1,441470715,-1,596307150,69744747,-1,-1,327387232,-1,38427427,195335575,-1,-1,128174640,-1,696056687,44973569,720686163,75067008,175981964,138486260,617259635,92545789,-1,76010731,-1,890981744,-1,517170755,735083283,228712616,983587173,-1,-1,263387403,971542780,-1,390495906,820996727,302454961,-1,86066154,-1,-1,-1,-1,683078693,693861886,570029456,169916168,30521240,313502900,736735048,970878698,100224881,624282302,29871959,137433209,-1,-1,938858826,496642922,-1,166971965,-1,810923665,972344566,-1,800388893,385364382,-1,480313533,33872649,-1,108492832,83141432,-1,692332553,-1,-1,-1,-1,575451482,163504170,-1,759506976,892178674,624400267,807307319,87218641,-1,412406358,594508953,-1,448446912,960382799,585733431,752551010,210038625,-1,593652726,-1,-1,866832988,-1,690362964,215241904,-1,-1,155963975,-1,166798386,-1,541209785,-1,138897062,-1,409345363,430958184,947250974,639489598,803707629,-1,624950269,884583731,-1,917654065,-1,698775928,119421367,793917794,619029347,280164205,635337241,-1,849421742,-1,679444669,216241091,914721038,11971503,302506594,-1,400239321,203689527,779599388,755184797,843850063,87947027,305033847,79344073,197602709,864311725,874023813,357270779,361658476,71876533,-1,-1,-1,-1,633689560,120933219,859934457,520476326,-1,-1,586292099,164081480,960555275,737864794,-1,724591534,169912119,461861557,2621765,152219019,679280525,671837554,324489764,510400462,616126104,7154798,-1,828690926,-1,-1,-1,899167743,521867777,643927026,909211977,270476307,-1,24818970,30320246,645751639,195280508,275684222,172920068,98259477,225532878,-1,774294639,-1,-1,-1,-1,460490806,717912399,197040424,-1,332172804,865089930,224423833,876158705,524292236,38465349,815666448,351350956,126849003,-1,-1,-1,6221575,-1,225948751,653543546,-1,937009371,81410031,335191044,599434682,888427144,-1,101531917,983657565,-1,-1,432397391,210197878,999585172,730488709,174177256,743875383,-1,-1,562231164,854132680,727418980,421325081,-1,274654565,114169410,507915053,-1,813091661,-1,-1,80894041,931764293,-1,654608342,205798679,327776558,-1,-1,-1,-1,997023538,317616545,-1,336642599,-1,656816560,306407873,385354349,-1,554035614,436170063,515544809,863726006,811062939,647640320,478959638,554995875,110167544,218554015,464608035,758200852,-1,509844851,-1,82816154,547305311,953049089,759065684,404234860,535997462,819321833,443679345,517218132,-1,-1,-1,885124334,-1,-1,141063388,360796753,790601896,509616216,804960150,66538063,170003936,328728250,203824188,757083417,675748574,-1,516065526,604743129,704202092,-1,-1,-1,865935296,-1,326063854,624656309,766586762,557714752,500047998,538229413,396314602,425684199,978876821,-1,-1,613390501,545036272,-1,-1,295303834,600891453,388349262,-1,54358109,-1,-1,749570890,443831629,826499980,497357206,53196914,565872429,644302690,-1,-1,-1,-1,557342837,-1,-1,224384386,174359880,-1,481609147,310089428,544583863,-1,291760819,363341876,-1,427524666,522956045,382714401,928318311,268371758,879288743,786845635,671580740,-1,601192416,920095687,914472037,-1,744592218,-1,898596067,-1,449300007,334277226,922978172,-1,824322638,341223009,-1,-1,996350533,756778439,24284802,367658911,961596386,-1,434856053,-1,605723219,431897754,-1,-1,970729026,542853736,977257504,844972163,612988374,-1,-1,469445606,-1,-1,972099770,-1,-1,969030182,738596814,561895150,-1,155873452,888597630,-1,925602528,367337573,-1,-1,400421232,848554163,807686667,431856515,520892194,461319785,967262737,74787580,612398744,-1,-1,289819181,448521858,361028580,-1,914761042,-1,159242738,950492876,566835309,240521698,635659156,398001994,115229043,204359511,264763829,160209775,201197264,-1,751003597,453086095,-1,12333652,-1,892465169,-1,133196892,845976486,521326041,109518575,768288342,557816529,441402837,294816428,685543481,-1,942433193,58495137,-1,919082898,312183720,123088786,-1,-1,11225410,-1,-1,396274543,302181020,77932486,708969068,178011151,-1,-1,-1,-1,624817901,574919384,-1,-1,282382003,456573938,-1,28565665,-1,-1,-1,-1,680763456,-1,58509578,617225532,19247150,-1,640109933,417866411,103161710,245901117,778464071,38277049,67378008,662769995,825556008,-1,896464894,-1,921756635,-1,528935858,546073653,868509018,210278005,-1,502093894,564205865,625116226,721945417,-1,864088704,286890515,-1,14282920,789930032,-1,-1,-1,851393555,723756160,582809718,-1,696430950,-1,-1,-1,686408904,293692050,380939056,637996603,134759608,186627287,-1,849590901,166749636,-1,-1,-1,-1,593205198,350852566,724141494,673833429,-1,939950425,142184388,859482314,6739853,590749458,24987546,847609754,934816219,627777054,167363513,668990137,-1,214172675,-1,-1,577028263,951457595,-1,776781753,236733994,623488490,-1,296114573,19604828,762248880,-1,756560235,-1,993818464,142079482,52707799,-1,264688145,984582209,392668334,126866481,400215567,848069182,-1,206482143,696578179,-1,841329955,196126347,644216000,949480448,998479068,811085600,-1,-1,563779560,306131415,501329593,-1,669637360,25779075,295448539,565940764,-1,886421697,797502615,433912283,624853122,-1,166607146,84078041,480677969,97420566,-1,340956925,284447280,709540345,55060099,379266645,143036264,511369013,479407631,59597791,712103670,844487009,392358555,-1,662326723,49724964,533273277,168324819,-1,151006043,-1,275467164,358213544,183961196,-1,193945635,-1,259849980,379757862,-1,-1,724055984,792141479,686666705,619907557,-1,684866394,-1,636558050,595342173,832845729,956020995,-1,331937030,-1,322808546,165929260,57233158,-1,33588592,-1,356812225,-1,367252202,372072543,49369484,-1,229931995,-1,900190585,-1,523053296,436887927,212883795,-1,-1,750315005,160153154,-1,734208433,853326374,916456664,-1,54503077,878423693,986976178,786069204,365591211,-1,733542182,-1,142657690,-1,134682495,158019554,-1,-1,993729234,-1,555855212,465746306,689473891,968360537,-1,-1,339130596,175262424,595519543,218448448,-1,267229178,919610628,724744069,-1,-1,-1,892055053,744037344,-1,-1,843175385,369400817,-1,618880217,768049258,422100206,-1,632537943,613789323,101663443,797804368,594887765,512827767,-1,578715180,424864579,934940146,550482916,564552698,355843808,313765680,966328909,403574411,-1,108657695,-1,22097391,189429939,786413669,-1,281166213,783524533,140701111,689150231,563993271,269346340,89523573,298359924,495410011,22946019,77483426,931702890,457430368,595131523,-1,-1,34445370,-1,935440403,865156926,-1,284775756,450417628,274763628,-1,-1,680822394,139578493,467000628,331948796,-1,-1,904923276,-1,483359997,588882190,-1,3713684,-1,-1,625409909,302431326,-1,540563568,-1,685997528,724176203,867393668,228972131,905833535,461012903,330738945,-1,594315807,705093493,-1,589807720,-1,671455142,647283182,-1,253212995,771325789,288726210,932419671,10903196,-1,926873602,115584314,926381629,142092348,148262568,202647826,-1,311119961,337531416,93317057,616315042,-1,-1,8955423,-1,476315935,572097554,545314147,619058186,269387110,913585419,867122456,110362837,316722051,-1,660723445,609429134,402072884,607581340,473062145,-1,532787270,123453533,722006222,175388435,-1,207974501,710431815,589030259,220765304,646895190,861241061,454569510,638191774,-1,882987801,-1,392978715,993978995,-1,-1,70756201,-1,515721465,849685786,77931296,-1,7368392,-1,811334157,-1,186888299,663183151,-1,555958349,-1,102744218,370564336,824599146,956517862,-1,-1,37907550,642662881,860881360,942714590,-1,-1,-1,204587772,-1,222224722,477710560,-1,967733937,971556624,180019481,-1,271735358,364841176,785177194,-1,528407079,-1,352833793,-1,239610546,961044999,465160544,-1,478460466,307878202,300807134,306729060,-1,278571129,972444164,707844249,475113123,529995197,727982349,412544133,-1,-1,-1,794832756,-1,719135538,179550285,850911695,74599487,-1,371287063,26113039,492169367,-1,208609468,819786669,413461051,700740207,627328041,-1,674274686,946786988,943011336,996879656,44303869,958345643,-1,469123433,72552664,545726079,97350761,-1,-1,-1,67176892,683467340,186078028,384138036,869189804,453595426,868214979,274108014,729438376,137775770,-1,-1,-1,154759140,994230191,-1,943007684,331248308,799671162,888001088,-1,229325976,-1,879563215,291647564,683146989,849428047,60948779,563510460,528406199,881078814,612773768,4665318,177082464,-1,-1,21424014,-1,890699241,483451339,-1,770137379,-1,-1,-1,729743101,644386503,226015246,619266804,503509373,14272527,917218305,-1,456649810,735328881,-1,565751169,302928294,801564585,806378277,364774707,-1,42090261,629024678,-1,698411763,809628207,694009463,-1,485520662,-1,932663309,997983353,324192751,246806822,335630638,248710273,360283636,-1,-1,242811355,-1,-1,-1,-1,-1,860297521,409726797,-1,24689259,675926714,244844887,-1,-1,-1,534981046,128578758,990927500,594394665,-1,-1,400628933,215275708,-1,-1,913047037,746411232,-1,943292407,867126021,36571773,975410385,-1,732272990,195005935,33685337,-1,874526813,8664528,-1,251009265,-1,369844324,270761413,7609538,184522681,401702176,-1,-1,296145970,452155045,509353215,676255361,365769763,-1,-1,61300781,606462429,341794081,207474251,531317160,-1,-1,384800359,-1,848918555,965129234,861740034,302969223,-1,-1,684563616,-1,203130220,131646304,31761768,-1,624731099,183837965,797371859,641767688,105716895,392267008,956804493,-1,339840882,-1,979242210,-1,170765779,575846708,-1,106683991,427544308,-1,-1,446568428,487191533,-1,93677016,758000734,919680627,414883453,-1,-1,983868606,657639145,876179731,-1,954001093,307043498,327653981,-1,242326595,339974329,-1,-1,999021929,98411088,839779314,555105687,391383628,82927353,689222439,-1,876275883,130902343,542901775,996878290,197285804,788842414,-1,-1,236487477,324106646,-1,282826518,189229341,951236357,642592046,-1,313364223,-1,-1,-1,183263125,-1,927893627,-1,-1,-1,148777016,374716053,-1,173369689,156646515,877974038,-1,452020694,351633555,509044187,-1,153331293,399797334,79029734,703282650,450360616,176622947,78195022,864531520,-1,492408066,410138218,792997904,-1,560124971,-1,191315542,-1,560971034,673136861,416336143,45840630,813174390,682016080,-1,385279350,173912468,371164193,-1,364940861,267529378,674497295,609198650,-1,-1,320287452,139250321,-1,451117131,596454095,628609834,783023019,-1,377324330,440737983,41174342,943175014,-1,-1,80507975,655172252,-1,670838650,604243101,586483048,544867176,901224296,-1,-1,-1,333046893,393734304,703070730,546127026,140930389,429936948,561582689,5446193,611502691,330564197,218078680,839250535,501380097,-1,17631050,80818945,390073302,776611322,995498808,-1,101969630,267482305,53611377,165412893,-1,-1,229834046,723406870,-1,811173355,667602792,342233400,421190815,-1,55847556,968316580,807963742,507287344,176699438,608533809,-1,16390333,166435738,-1,751895064,664651290,833367307,-1,545367310,-1,474316605,70891386,813915801,735864863,664469844,743841710,918426184,656710135,439361620,-1,599238254,21405018,880145306,838701981,897529102,534248334,513238170,-1,534296900,-1,874689324,-1,-1,180781132,839171163,267529363,914332455,486309264,347311029,-1,300801452,828431286,154845364,-1,-1,705352109,142313080,811196551,-1,166256269,-1,751453787,783711677,131103158,-1,-1,-1,236986434,346417661,916648696,-1,483475813,-1,-1,719971102,-1,439869600,45503992,357800944,939570424,258350849,66603492,-1,525560422,293039603,741338371,573212530,534343359,-1,-1,799247824,808757743,170501096,730331142,365404871,606450741,-1,453690946,970221660,384280468,-1,84946789,415498163,979944156,933862518,837635087,997032188,-1,362737165,-1,974964412,882820811,-1,952327687,787999850,-1,396321018,808918726,113896112,650796298,-1,193206683,967677343,-1,750012499,-1,339230572,891905678,-1,-1,555757071,524359488,-1,853971916,-1,475791838,-1,-1,929253984,572658001,-1,596495333,-1,163210426,257753630,-1,94718736,548141660,60001222,848664795,954275794,-1,708394865,199024646,-1,-1,846745804,347898510,888679786,743138028,451961203,-1,819921716,110709770,683037267,767349447,971190597,-1,261724190,59914806,784954766,-1,-1,-1,496147705,9375004,432299787,350301347,-1,468676664,-1,-1,-1,480320449,359764932,838334936,331966917,422645167,-1,338558256,778889702,486228842,-1,647450112,-1,366291100,708289934,461819492,227209899,-1,126123473,643721694,698284714,132866667,957391295,718319455,-1,406286513,469508051,454440829,474039800,591237534,502991581,655993249,331881643,-1,-1,187838890,625089847,638128951,770114946,62883056,780431824,653893571,-1,793748516,629938026,822621171,669200299,364807347,-1,704906788,261145105,727130174,-1,-1,241015809,-1,-1,790760762,256054437,419422751,743884323,781251905,272826893,96708202,567664536,-1,665746227,-1,142646395,302782007,676524503,388956440,445486710,20900151,-1,-1,542550025,443605612,-1,935285421,973085060,280317283,384014205,331358765,-1,-1,907656379,701767369,788414877,-1,391771545,119078352,382598632,783643573,439591729,520974007,66763283,24864722,-1,593846998,848913362,302505701,866388463,139670604,60380919,298129053,-1,-1,326228379,485663932,-1,-1,-1,-1,-1,-1,798245148,20507005,-1,-1,-1,332041047,34153303,411539329,198366267,-1,567749453,84580507,557052228,480930016,-1,935565767,-1,899917939,742919833,392580445,237004428,416599021,-1,810677992,558739038,-1,750915792,-1,17535327,-1,580439181,569462085,149913018,-1,579525065,912674467,-1,266003729,666294612,-1,346515821,812004403,633513350,689155695,527661979,382143907,-1,-1,716917688,-1,681642616,114401849,755236820,479323979,278143675,359108067,449363429,992202477,-1,-1,940066603,274312191,-1,366643632,-1,966219415,756486560,-1,494412162,882448828,437894508,-1,700575520,94217916,357415771,186759060,709785521,832445056,995075291,577444847,789820475,555404449,-1,142190390,434158597,-1,87844934,-1,255471322,258529034,528281836,-1,-1,-1,-1,-1,901556227,456177135,-1,-1,647748910,768948564,675256784,-1,705504423,294936595,-1,415546143,-1,930051875,-1,983967073,576009906,475530822,368157208,787368764,567544838,222517240,509585421,42682533,-1,602956226,-1,190223892,-1,19714482,-1,-1,-1,867267216,383981856,519156901,24458765,-1,336032213,-1,850231734,227441809,-1,234607985,553083019,-1,-1,-1,720689782,521313836,748072371,-1,874388507,660857150,-1,542774472,902183381,-1,774440702,-1,470749673,401271253,268099527,272482009,480069236,481983465,681016199,908187690,450807969,-1,774052452,145471820,-1,-1,295241882,549555215,261861174,960966190,4186168,679646786,646884933,783275935,40733098,509382126,-1,37221263,737276868,586347108,-1,122083859,-1,808101924,851444567,676317438,761691206,780235725,656480518,276479410,-1,70278457,865585533,437195530,773901225,650829925,679072292,503811113,465004284,-1,212071378,-1,297338789,792741581,852787036,800258287,818809826,44225527,637121721,360642489,805771434,-1,614049250,824474075,601939354,723647510,736204402,40566200,669981924,433682806,456502874,96563300,259689024,324237036,305649822,169989409,895204418,441982242,-1,811292378,927444167,-1,628386080,-1,72471117,889403210,-1,648261190,-1,64519575,208441314,353471227,38308290,423266976,90142191,122886382,403108360,123259025,428486043,-1,157573408,297491708,735192731,717850386,485256063,467427084,587917414,842667020,-1,315621597,988325090,679581605,-1,45459482,-1,-1,42690819,793825933,-1,947443981,742569575,-1,122341955,-1,-1,857798804,18679092,359617791,-1,535932985,537673821,-1,406970501,862791385,-1,378197885,478660042,-1,-1,-1,127798735,219865382,11074206,845018314,-1,-1,-1,717654287,306737702,812982281,470681730,198679580,866941186,395734972,249197085,-1,291599982,745492491,16586439,375945424,775034407,859156974,-1,-1,811319360,-1,31343494,825993347,-1,-1,863219585,422390494,-1,-1,112171807,691869641,912502793,713773264,442547915,542880240,-1,833174977,282768879,136712132,-1,-1,428638594,-1,836875097,349797460,-1,390633162,684563974,-1,517024523,857902700,-1,-1,874122317,894193860,844668792,780546874,357970067,588762560,116631402,402478083,883493789,301987920,253407886,280166831,338483477,658901394,814628470,-1,-1,-1,-1,486958945,178970987,258058663,-1,138933314,719546464,-1,743448999,283237694,467722078,-1,-1,-1,-1,507409266,-1,884604079,723651311,556863882,384470595,-1,47503796,-1,19966823,180719504,313898167,709165015,956017071,324230231,-1,-1,82114709,492787354,-1,584155151,-1,-1,135790835,580200508,193336590,734263349,-1,644311502,327565581,563280010,429051460,976152125,-1,299107161,831840248,-1,861738654,217690887,437077037,810260330,-1,-1,685056845,-1,280099020,833414612,739756612,768997066,193520053,-1,358260932,-1,-1,307901908,909126725,597505866,50816852,-1,-1,-1,138279608,-1,297207586,35340423,67640137,647457556,287031425,121146392,-1,983113122,291376355,-1,-1,529399740,290523878,764941965,114995227,237672167,552426995,-1,-1,172267446,-1,-1,-1,312843950,39914362,464418586,367516322,739158968,-1,797377438,787991561,-1,-1,-1,679660086,603156522,632707059,213038606,-1,706036299,-1,-1,-1,932054131,-1,533093866,-1,-1,120935346,488710357,912675453,345919684,-1,790712511,771395752,-1,-1,651556352,575326125,529544569,-1,417949908,473507285,780017346,942927717,-1,915005310,-1,804442602,741406355,567271449,429782911,537497499,218349037,34307508,380532833,-1,797411505,296439473,689881830,583649169,247371237,-1,136694185,-1,-1,-1,335091660,184923713,-1,530723804,-1,317287896,345389959,-1,-1,579183872,851370771,954899738,712880318,962614470,88302610,932471714,650566619,995916286,600084629,32010552,-1,951301050,698275242,-1,515697462,-1,543933765,358844444,800483183,142290836,-1,-1,-1,649823310,181670857,-1,-1,731532104,409338579,248775154,-1,771778324,118318225,382589552,-1,375590153,-1,-1,-1,-1,-1,-1,-1,87238692,-1,867927489,-1,-1,905014719,84583155,714715688,-1,858712420,846531951,889432645,5280827,-1,-1,126719269,322351696,-1,-1,884752090,699822714,901861607,310052324,196417772,83757457,-1,980125888,429992467,459990229,760645816,735054500,52541682,490463713,231873670,944125073,-1,752742243,111323690,166564571,432209351,679952878,282890048,861212684,577433086,-1,252093093,-1,209834527,630843943,724627605,493020900,991171833,-1,-1,837988189,-1,395520614,545133937,850677160,723165721,29524430,454128522,56395280,513570709,944466302,481244360,247444540,892344413,197615779,891885245,219926029,-1,396652979,632413393,128522372,972072625,198481863,-1,490469273,671163124,542659707,-1,616616669,434542836,487082236,274701396,230783209,604019110,800749908,326054212,780839576,787888884,74072588,763329411,102425729,770884342,388186440,480569611,116458010,507787316,863501429,673100913,746895454,662404351,268036774,253640386,842721084,939823092,31804378,533488885,878335664,329241946,733825995,-1,274446126,-1,641941761,479375454,61963494,-1,-1,-1,-1,-1,780712037,260042257,-1,-1,757587449,534377194,120481285,-1,-1,-1,285645414,300201568,941532055,592217121,629357075,-1,63560849,660977493,176593454,740928472,344193425,416962950,849428271,279995899,227007890,993280382,424542177,-1,267153851,273751821,604793332,676474665,971786915,99324040,-1,-1,721548678,-1,231498764,594221814,192672209,115842917,982113870,-1,208804552,-1,-1,214639681,957728163,832470371,811959955,-1,504294506,546064246,722923034,456295028,899811131,-1,554528295,664770835,432843438,65590233,632443715,917932335,-1,33852286,958214185,-1,-1,-1,4672859,166049361,-1,-1,-1,954861715,763431902,-1,939234609,119251655,736905576,58288645,691884058,-1,911003846,693321515,796280386,-1,582214266,430245671,-1,-1,810823428,-1,711324935,237437972,-1,214868198,498284496,574285590,-1,823616534,474817922,14568702,28785102,874032568,651287833,-1,-1,588425508,-1,-1,424851429,-1,58358326,977944548,-1,-1,211864014,278585355,885250635,865870409,474984350,203998590,-1,347636398,-1,378613597,653879755,244770263,-1,259428267,323226468,321175080,-1,-1,611191395,-1,812135456,905245138,282013499,-1,63489645,586194430,-1,-1,-1,-1,30258675,921769438,463660626,-1,-1,282263296,378169854,-1,28041256,490916142,717951968,-1,342758627,351493112,396697459,255515748,410325844,792851187,850747510,51384527,195419178,564808156,826828221,630061140,316865321,823050293,464584415,424475554,162467512,-1,10147878,795556733,383468383,104730535,259328594,480649177,282976293,906886795,715389601,877870529,294143594,627133886,191593247,-1,844309437,93978646,80515643,976876213,86434767,-1,819943344,-1,403341912,651342974,882456736,-1,586459378,494012806,378398871,828457079,294504307,417213397,179573797,630967551,711635832,764810323,235097332,-1,925551394,498615502,-1,454981724,73884785,32197897,945855056,198055894,-1,305207054,-1,-1,378983731,83547935,746444398,697653064,823839835,187509210,-1,-1,-1,423037623,16651400,99016962,975855874,-1,503008828,-1,918709900,757754734,-1,-1,335761255,-1,926900614,-1,-1,101304601,953345517,80344951,194118985,31013321,-1,498105685,849265484,538679775,935492404,825375802,913956582,867924920,589467063,587328773,-1,545621925,96201333,748148783,355550198,283855386,474997638,660188071,971962611,-1,-1,587511952,-1,-1,559604341,-1,844517800,521771782,321598728,79866734,136386595,-1,777499589,347337266,-1,-1,928939697,704625551,-1,354823965,82864311,360426734,657425597,-1,794506858,228422119,-1,817275580,626767225,685848190,-1,643320038,308986591,193180769,417970416,185509366,703411016,532754322,428549494,121349869,139015582,-1,-1,674393719,73712920,-1,-1,424132313,489723152,-1,803594256,-1,-1,626648426,304040863,21380155,629108518,705433050,792495707,12790762,632329067,784918823,970663033,124845420,42222704,-1,699976512,297118425,977792332,-1,-1,-1,7354828,767921736,473930074,724269926,582835464,445220501,494681691,-1,897403185,196021209,-1,707681722,987042720,178061716,-1,719785399,903124961,-1,921402533,389459873,568020080,-1,-1,11510355,911952115,-1,-1,129438013,4349998,624853761,547950532,-1,-1,529337547,911503478,-1,797525350,-1,-1,-1,-1,315107240,481743186,16591030,396159290,873387904,870627455,312966061,-1,438353682,606059391,214052758,8033452,925842184,2786431,396597287,62322818,-1,237681184,292263929,238583552,-1,348386497,-1,884829020,431475565,-1,639225597,899085494,991764882,-1,146791769,-1,305084239,590576150,150814130,713811141,167654861,-1,919048070,-1,900533135,181774369,319073211,-1,43448784,694125898,-1,984640665,254910150,144519653,-1,197176345,899309309,868310425,426903048,345630885,53192213,-1,881234676,48443344,259052512,907118830,405365430,913677817,-1,-1,23913520,837603809,276008930,715457006,-1,-1,385600809,846365550,795176485,300521705,-1,-1,623901967,695194852,488568941,815938011,179327707,-1,-1,605284636,643507751,366995745,129831682,-1,-1,986261509,-1,482462101,587120003,300244950,46747444,555933228,-1,979736776,-1,-1,982586416,985274917,554509681,132467040,165210901,945949736,950503052,433615247,182778195,900005560,-1,175183269,701434307,-1,-1,-1,684286624,-1,82185601,705691979,738220375,993620952,95049876,278737001,791006747,-1,-1,866676280,-1,615770110,459682986,492614917,-1,530103961,845274557,145383385,636540102,-1,175354031,-1,444525886,111056630,-1,-1,202664075,275858200,-1,-1,152932482,825317261,597243069,469925410,428644331,940613733,204513614,-1,975259221,29879986,-1,-1,-1,-1,388836008,-1,858631440,27544385,-1,-1,-1,-1,892043887,-1,-1,368012520,244754119,139591461,-1,245484441,23396078,300134169,-1,717807626,780164891,245573675,751127224,887518240,813453502,852414725,-1,214342291,983466719,397558490,920267949,985959269,184429223,-1,554443347,138984366,251144968,665435833,482600853,673698769,-1,-1,-1,918601582,-1,32332004,434497785,-1,213074063,396551016,674882103,711047604,821074514,506546198,523542668,697441091,52598259,705529247,544311444,-1,-1,617163316,161379021,931811155,232560729,737476360,-1,804559920,-1,662628957,182353298,301057073,-1,418609577,296635565,467842330,-1,732406694,764367170,901107243,50139598,250260847,282692406,260028435,692229845,-1,-1,114712568,-1,409884476,167704710,573094486,327842028,319487935,-1,214592497,606733428,-1,647404869,230859689,401045751,-1,-1,395374345,32849159,861808285,-1,867438660,162192384,-1,-1,146134832,-1,889560956,463259098,167849123,777795727,-1,427165031,-1,388417916,146849695,338479791,-1,522863266,422622095,312014048,652556602,431389284,763512778,535818818,717729868,82488934,729723299,571134291,606488773,8277539,415335615,-1,47066511,556786158,-1,833022644,433899018,473338688,-1,742994840,697161920,184447090,350474456,444285869,937525406,633648,576022043,191621204,73857129,536580125,400249585,221622845,362515772,342220958,-1,279248273,179673147,431340559,408827881,602378233,661672685,-1,-1,459341089,377367250,-1,551827662,-1,328807777,297326519,185231991,-1,-1,117555391,431638366,651141558,600672836,504867723,-1,476730663,643536909,700189727,590018299,715873324,158517586,-1,646762268,-1,-1,875191712,329570509,711538615,301394004,449069863,226933234,382061412,-1,-1,814784149,-1,-1,981331511,-1,767442783,135125011,604846689,291634104,167452348,43731777,547078629,979212880,611361738,154365810,872855111,783228027,689355831,120888423,832295695,172837576,135491539,-1,408670191,-1,122449933,626481913,630648005,-1,-1,127842622,900560003,653888085,432636096,654754275,106289196,907921168,487018684,-1,540649180,555820009,866347261,-1,700592909,555163127,588852269,586444531,-1,-1,282957175,622118240,-1,-1,838647249,42262297,222377413,-1,258868487,952157337,-1,50719934,-1,-1,188663625,157367070,-1,-1,894770459,594389475,842562680,128241562,-1,-1,-1,-1,-1,379612902,945273325,400643148,766624038,968134901,913749313,203055322,-1,651917559,120348109,-1,100796120,-1,127599693,792552760,463982443,129078979,739125245,639312982,-1,756247105,158157030,-1,644120406,279292817,-1,522656744,332099911,552005247,-1,352752615,661438746,-1,586935114,253602368,686787485,30331198,272241182,437982970,-1,555301872,128957161,428253975,-1,410634841,60402377,-1,284114362,17714257,553869010,-1,330034785,649213537,688347802,808957838,880632122,-1,-1,249125834,758469159,839611008,-1,422423962,-1,137800339,799242165,749128807,-1,877579628,-1,447968418,32449383,116764622,137945176,511239426,-1,-1,121889569,903786630,741551573,-1,-1,831460640,409481979,791146776,165935747,669106337,549886816,278592555,294913251,-1,-1,919574099,782054865,-1,43543909,-1,204404157,327632486,540967508,-1,-1,657500796,717035176,-1,944831715,197906829,-1,499024015,34423322,-1,560273964,20017142,511381904,111682725,304552659,831092602,-1,924896780,836741468,-1,96831801,629919941,-1,493128451,496985290,702049486,-1,270646438,868520429,923020462,395347320,-1,325027037,111584483,-1,498128394,890198976,914197742,416752569,568824000,-1,257201217,730453719,431712045,289242600,-1,285018627,314694137,115670092,318938189,19002277,28163980,-1,120290275,74412584,211894646,-1,-1,-1,886806649,707833145,-1,429872498,-1,556755764,455839296,967021568,-1,291051018,222520479,497525797,-1,-1,820713257,887042384,836768412,-1,957089664,761460963,695843330,-1,530879428,-1,427116334,252782152,-1,-1,332578793,-1,-1,596267590,818573986,53067692,95891049,478293594,351985644,731044248,867874561,107237219,92138224,-1,450782699,88929844,13907117,372281554,539453009,-1,187541739,13046643,297676177,970979787,860667105,666744740,687139392,-1,959218901,348939194,620568625,665414371,-1,869225164,141451751,928036534,-1,858646172,384600213,435471109,12731982,476438410,399110559,501526504,490517593,483543615,209994652,873204508,731148373,48926687,118176696,689249195,-1,636310376,207994614,14469818,-1,133982542,556228562,-1,-1,-1,125008458,642130481,-1,71533323,-1,344924273,94939827,893715217,418237166,965391482,-1,572478667,277776492,711434183,-1,831631772,-1,-1,-1,410381040,190656405,636943583,852291394,588133276,-1,755395676,-1,248270838,542467339,689957962,241037952,-1,691663777,-1,471788473,-1,838468791,316201011,982848543,744450576,-1,822237847,882431767,-1,282744295,880225644,-1,-1,-1,95136436,244298726,724684756,851337075,537260557,116434738,500834030,573579752,634889005,199431149,-1,855694231,-1,884803369,-1,159872409,-1,818009338,947743928,112876534,-1,58880135,-1,425258388,804752342,782848799,-1,-1,107507993,-1,176958895,-1,-1,-1,994899524,-1,265974023,82392148,734914865,165315812,-1,61188858,-1,210095175,-1,789097433,695283273,692376519,156381286,-1,57190511,220879230,87541043,972716546,975636403,761372175,382502640,-1,-1,-1,-1,859169626,401609816,-1,-1,-1,186355196,-1,-1,-1,-1,768071369,-1,292206417,853369918,-1,-1,-1,962543147,-1,930170574,-1,328666586,135186723,912846249,351464565,-1,694780675,25194395,671165824,62960083,844170887,330644827,39575180,70472234,136236460,333023215,362645301,528118949,418049745,914720482,-1,144188958,189548698,398628970,13556599,-1,-1,248601126,15824233,-1,778043744,-1,-1,255799992,383906566,28869076,291186363,770461271,-1,643710235,721913811,383598030,532977048,-1,115976135,232784225,-1,-1,-1,937280523,-1,298246965,889328959,890276269,-1,992686989,-1,28224759,483363329,-1,-1,245936782,725824003,-1,-1,-1,-1,443061279,-1,160485285,803892418,-1,162399980,179859654,-1,-1,26515890,952015091,-1,413568402,543024175,640551030,946705016,180444646,-1,-1,184726898,-1,979919901,195180893,373721220,-1,221365190,-1,124914996,686060098,187715871,310780957,13785845,-1,374192260,237470328,537127579,190616248,-1,546198329,377263100,407887161,775912159,441443626,-1,974278034,605266640,214677215,-1,-1,-1,285884715,693524344,482925399,680707932,180834039,519378818,-1,205874172,363938793,864559863,61610439,443239334,53347735,862919001,-1,-1,810453327,244663335,199536345,14488204,-1,314506643,175449045,390962440,-1,-1,961299569,222998553,572150174,761658666,231231322,933004124,987744358,228001213,856500242,808842720,257226106,-1,922170046,577973101,242945113,902461090,850074777,253827022,440607710,343283255,299967917,437057091,548341416,972942894,-1,-1,657873280,665450129,-1,-1,-1,62657951,698089125,-1,-1,-1,425327301,845649946,-1,44055324,48280674,-1,-1,887261215,-1,561770192,41702980,-1,668740329,985474891,943005134,-1,454482636,187637607,-1,447071742,90809617,426962559,423530925,911287805,781045429,309893819,-1,891184599,781188488,505244769,-1,809153281,-1,806872636,779677737,325796062,937634079,431224912,422907301,615085208,295315522,244042455,-1,933802762,97321411,104811245,362785973,-1,-1,-1,958653351,43380350,-1,-1,278013899,-1,677259955,635554576,86334528,610345593,411140256,-1,176439039,-1,-1,-1,-1,688640713,968367474,4115552,4646099,-1,410343128,496860571,999730239,277027779,619577228,-1,-1,29424636,-1,758132932,-1,2841972,-1,66805075,654597963,431011022,-1,418785468,295116324,515671802,966469579,609506051,-1,-1,-1,509929198,645722481,-1,565847318,761754118,6468449,-1,132364805,156028334,991626897,-1,394021444,625757877,785435473,-1,-1,525796656,-1,378801241,264804102,933718449,-1,112906387,294859481,-1,440840538,619158797,715075512,922086549,30244681,805527434,534926676,700429776,321366061,804458183,815578238,423209650,386366404,620677771,470274073,-1,516077488,-1,649469109,732686934,-1,378063284,257659567,341763041,555624370,242797326,-1,655268136,458708318,-1,145412178,860103877,78689599,947910270,2704884,-1,244782438,14475337,441099905,622648839,172168690,287114987,893518231,536356886,-1,651390741,-1,615964924,-1,729589005,843516179,-1,-1,355270727,-1,612208136,-1,85773702,772665667,-1,-1,645410142,636084983,190702712,252015338,28109758,980596307,374632567,-1,-1,-1,696589070,642583246,558404496,157522844,-1,331474777,436869617,552809099,837866440,373201972,-1,785122219,562658475,704409983,714981122,184225004,-1,999694085,-1,139625344,362752061,-1,788170060,-1,832958859,114680925,486414354,365750445,-1,377594081,-1,200922190,111199052,502176057,111726688,-1,222188659,436489591,-1,232391235,923059550,-1,711670300,646349949,533191040,661880689,-1,226905004,-1,856832154,57314894,340150939,784821291,978267442,766971085,804457896,965606505,628899765,253540814,-1,75486933,-1,-1,426303499,384919361,458288007,58698908,-1,-1,165365199,481238449,-1,-1,887722634,-1,768483268,733217252,899554446,-1,138403367,-1,-1,434053508,369725204,490594786,565447945,772706067,-1,61537436,-1,-1,914640676,-1,-1,507815102,30365367,969828532,249352589,466020788,16795413,-1,-1,-1,-1,279593637,756393610,165374169,-1,83029087,-1,55188748,-1,290594525,-1,-1,730350413,759052654,476069532,382551044,846557351,77775457,711296601,208634108,776984134,-1,645958157,856127642,449540655,-1,206478067,366413439,-1,171757968,381141324,970523639,-1,124958062,221541628,508264476,131514192,-1,219437575,757214684,976008940,263749831,401219257,-1,436716194,750747226,752910752,-1,-1,305887555,-1,364508786,168377872,-1,228198906,941619348,-1,763013192,-1,-1,8298334,786198083,551726432,39051034,706519279,932445070,898158069,554802402,147601359,909261315,878307200,507100118,818697431,707362312,-1,870327250,727279307,832053607,715081021,-1,319437136,648810002,785775175,-1,925837100,455355290,202545002,969421549,383263319,-1,-1,915353333,374193258,340740744,367291542,941657646,640845956,436746268,-1,154308088,596949967,1129319,-1,776738999,-1,-1,812831860,606713438,-1,-1,-1,-1,276388125,120276604,92501619,515924895,605770520,77843597,807117959,-1,-1,727055589,702104886,77130430,166267138,-1,-1,104800479,-1,996350177,470101333,-1,519033851,-1,178118436,844009233,743437823,966844262,751838620,164117941,-1,-1,-1,429389816,449780817,396589235,50297180,513723287,956784482,149662331,415907208,-1,-1,-1,132196626,728208904,188631998,267663003,540715628,37676980,-1,110821465,-1,681630639,486645784,377563971,-1,214854671,398671927,997588509,702082956,672338127,482921364,-1,-1,755065568,880401707,652415520,798424777,94428304,-1,635720974,620164091,540143951,776263771,612751286,329606969,919338838,902606942,806087175,727392429,325216076,377264545,575184294,925052005,606040866,604455512,-1,973779048,-1,672094455,757151760,178184193,-1,83612264,372561049,452930627,951080274,815492188,-1,-1,490618469,349670525,615216187,220462262,144459453,997798917,298391950,676686413,-1,960961329,698773490,652263412,-1,944341710,78356723,520871532,-1,580988288,921935015,119581115,604538957,38587449,708577419,-1,-1,307292116,430494333,205171822,-1,-1,332656810,960498994,252956556,805360720,369743593,-1,-1,834264914,-1,305250088,-1,769740779,51924894,745835556,-1,585082798,993141015,894264508,497009432,995704368,-1,-1,361121296,390780859,-1,610815574,508120880,399569813,727973269,863875985,-1,716502780,546385289,256399151,558573128,962527823,891051651,419293551,375831937,781443419,156587004,-1,437892269,644928431,719097414,77428818,-1,891129563,647674661,-1,-1,887856845,-1,610499262,762663671,496506796,647720780,579367140,811590506,692210336,619475263,582677919,210735195,216156227,-1,362702435,420121237,-1,398149999,846397792,-1,897854034,-1,543662665,437160888,-1,-1,991857192,132893765,816269046,433755752,413347055,-1,147668700,-1,-1,384050737,110274580,843162230,617923513,731030169,597419883,52556142,-1,117520261,-1,417807354,285794660,267148053,296178740,827336206,-1,156464060,989273856,-1,468423139,419207349,425930774,593784814,130145309,-1,-1,407446210,616650872,141384266,817961626,210753880,563665549,183317349,991623497,522651971,93388661,707551943,-1,734628935,788572015,935920014,689423802,897350800,6476270,434062652,324671633,257475901,985890167,-1,971663960,155839207,487602766,448648829,915570992,-1,524698940,178649312,915287105,899755959,-1,39593726,839620171,-1,664904732,-1,499454183,577545786,-1,188264801,561043085,941920899,352887851,-1,841248551,-1,692775220,-1,862219861,732207097,-1,470853066,39676220,191046726,-1,-1,182584407,550030984,929357513,297168564,943860158,-1,559220371,39044014,44509402,875936062,796141686,48498616,666039143,46632226,339670024,444699178,541759708,-1,-1,-1,-1,-1,377799446,271596814,461248091,122913360,967040548,387626093,343571548,450548478,-1,349815607,313350880,479318299,-1,881021594,983966740,-1,-1,-1,317210928,-1,370413802,450728205,467893774,-1,3365073,-1,530333806,-1,923285602,46097909,-1,-1,-1,56925215,127212533,874570327,918877560,430405969,291418064,-1,398763214,-1,-1,335734743,369920084,381483805,100687495,390144522,-1,572039633,970395785,-1,332627138,628035896,976774954,897941406,-1,549969595,-1,694194928,558192435,996008073,815676580,-1,503219246,-1,642011367,873603967,-1,396167890,151477457,690509229,-1,451682456,877699302,-1,-1,355253973,51661964,-1,723172047,887632209,8736677,-1,587380242,582882897,-1,-1,996505270,-1,-1,-1,921247732,507839666,482484176,-1,372095036,551204759,589768273,836822304,319880955,841309711,78467079,168982770,774898731,-1,898633673,652996746,393351202,418283352,981765688,588316035,136653274,402292634,-1,39656621,285790873,725436598,542699404,644366136,286118304,-1,893634996,423982608,766269535,721468251,-1,834158399,304002037,-1,865064749,944564195,18745565,854956614,763363467,223826695,-1,105884159,809914243,597702395,160967992,144223675,675693231,-1,652237344,244368598,827203649,400172136,-1,832975863,690009331,-1,548675752,406007038,57076286,981060394,895656378,426382020,-1,297331309,-1,-1,46024376,438567401,402692425,4529373,112086219,504168433,-1,-1,229959936,253055383,-1,841196991,-1,696145614,110512681,380753199,675778390,362380126,-1,631687307,258545903,-1,552524587,441293073,43634056,73336337,241850937,982802460,280734302,409085662,877779796,828576323,-1,527186664,-1,589440573,-1,-1,142603840,948693776,543840710,938423176,646797378,-1,-1,-1,25308900,819345865,55260732,978595747,796055596,-1,111843304,-1,-1,-1,896783628,-1,-1,979717737,54955811,341446697,449212834,540822266,825017734,650602990,63707984,-1,-1,351151599,208608077,861544019,626015225,719713729,501642347,955571828,154258982,787999297,-1,836928138,-1,959191222,148823324,-1,-1,839354242,446006185,82755814,997435913,770802870,529512681,-1,-1,316736580,635154924,977497960,274882333,449953933,879451985,694367363,813128360,678555804,-1,250323358,959193198,558828227,93609636,-1,284587791,394948705,545137987,-1,323950464,751329000,58200829,79157861,-1,300895051,515931429,249453754,997474573,-1,-1,199290521,823560967,-1,517049285,-1,918378478,770923850,-1,214162573,40792038,75870820,815907193,408351,15004533,-1,-1,85762398,875065549,-1,496083123,-1,-1,-1,-1,712358658,263573273,-1,897695401,38938926,569698578,616770869,566179050,337598901,896740136,-1,498593930,25816746,913355099,-1,912681667,-1,911826216,709501375,424261481,382329028,222747697,139801394,-1,739428364,390662768,511850536,577706035,608904658,-1,628975041,933984459,928704761,707221846,928225978,-1,908970797,894775173,884879937,185539817,466475137,865994422,501802084,584983724,602005381,340453139,-1,543643716,447128983,452863521,404315880,529128334,-1,-1,-1,74036142,832515534,632010240,827190471,431982570,49272910,896639142,890015250,912777219,404724935,18010443,701360172,219282772,2328330,612548606,7067822,284651399,-1,391383514,463677812,396808518,-1,615128106,369517439,812809354,370587198,579380088,-1,717412570,910609515,87476628,927673214,-1,880987269,457518216,363809064,45360707,322739196,588760185,-1,68217942,-1,-1,584375874,914144344,590133124,697654257,-1,58800580,167374225,-1,-1,-1,373773371,145091020,-1,442970415,50376550,615820601,395585580,711569353,-1,-1,87931284,842238648,661109600,173184886,-1,3526670,657698452,429399624,222774158,688427422,969187445,-1,605088787,-1,-1,777778016,417612867,600623368,59623390,917314459,278403661,477255766,492594762,89991985,-1,314733216,311322623,991190655,512135418,625840225,583029552,860402357,776493371,314696654,-1,121987564,-1,-1,260826700,840344673,465984101,-1,750938209,869007561,972069243,791540215,612821385,988868057,331588922,484366652,599121338,358119216,378680990,731635445,965850401,18869286,439427709,-1,-1,592787137,-1,697472642,-1,-1,682855970,-1,324565981,804481930,337656389,-1,30977642,526741204,634868578,589594101,161563682,895222490,528314069,264321310,634329811,-1,527292712,960095959,709580621,-1,452835622,995622019,196702219,-1,765216802,790747237,770353001,458538087,-1,-1,-1,-1,629770042,-1,943070553,568385337,158284738,-1,423126840,-1,841259972,341535018,-1,632962198,501580588,726690852,-1,40651296,-1,315794157,949217923,-1,154960046,-1,3227784,855845892,-1,982777284,-1,-1,637777453,-1,252033035,917173853,836463171,-1,520382051,-1,86345915,733009570,880717957,186350787,27168734,582306846,204238598,-1,-1,753525717,708596730,369494873,613625621,437575343,269259258,158449836,641363867,78124514,273301261,-1,221329156,146919186,-1,734748731,69137318,-1,812827488,63743144,181976942,656754998,-1,-1,-1,827453931,24926689,-1,-1,-1,204150106,287446747,53431639,-1,-1,-1,-1,389093116,-1,-1,595686618,166276005,577807921,107996993,951335532,459760456,-1,877743407,464072457,-1,-1,-1,209690146,951893233,67195360,863310032,280004374,932579456,716009923,130731058,815603041,653602078,395169769,483680372,-1,42406091,854276467,-1,934940131,-1,188449593,6188455,883431618,991467187,-1,48167160,-1,745088381,119303539,769102197,869884812,-1,674734355,805395658,687588136,171821102,679549130,860321560,391774597,534768506,-1,901915916,983654979,904220562,665863856,976345618,637524024,538150200,457466159,772609467,-1,263879341,123743083,164016879,306009344,817870788,193470143,-1,81810293,568369701,537673865,949609041,117913300,8150402,406947317,448497164,173133839,71567187,-1,-1,520197061,-1,-1,788438088,453242803,981375701,965507416,62847256,786539952,-1,-1,94919539,-1,-1,2838190,263941428,698101723,-1,384443959,-1,692824790,602750729,-1,-1,-1,230684184,851870657,923167393,-1,-1,136500528,85824620,6133123,784115238,244924056,419093017,-1,-1,539423528,-1,559135345,401905620,917326138,935651903,852779314,338097376,785499999,813301708,739520646,355581270,961879023,84328013,689863600,-1,547104693,12489587,626496080,951922739,-1,115449303,-1,-1,578099090,424008998,-1,400478952,112592284,277402038,745739402,236452199,941018399,224699633,685217199,583237789,869159583,588649743,50454792,531117559,368927175,686679048,960965134,339641949,255163813,-1,-1,976290949,225020699,504219841,-1,900992395,672939173,583371600,-1,-1,758483670,11979474,285132938,5622096,484679829,762855543,713365628,386634125,235531671,212326465,586619742,968360680,845501290,408851592,-1,-1,242790229,-1,870382776,-1,-1,249357052,-1,755953422,-1,744301307,569890823,184566139,-1,648920396,551655078,330045695,650651820,263967997,-1,671528654,13414544,-1,743564129,-1,832476167,-1,780326137,964920030,-1,564474890,761155225,892909156,-1,747880382,332646531,363847359,-1,958187936,-1,117028158,174251928,309766578,627165646,159135591,332185835,-1,71791035,-1,-1,367066410,-1,725811418,323757371,968722285,753587136,-1,799965712,158391226,629335418,57774605,-1,-1,-1,388832966,647486433,-1,786124576,356906975,-1,61546139,-1,305272490,-1,-1,249934822,541727458,232402007,407906574,345504687,609412082,33287026,995512258,981216902,204216190,-1,71902944,132010139,780747567,-1,-1,-1,601577089,-1,934582399,35965024,-1,221252937,899458176,572248458,36224327,943953893,251441873,-1,664642817,-1,867578945,99248335,-1,671947481,787377508,689718651,495942286,249858044,422080783,-1,-1,130884145,375746596,900190813,320307050,-1,-1,-1,942966931,984985503,297318774,778739136,639832135,894415603,-1,-1,342420686,552905057,183624706,-1,-1,481608339,687462833,-1,810329132,456441464,351608090,-1,501647170,-1,-1,749359123,-1,-1,251739035,804599011,514020884,653703609,624281074,794522334,625387144,-1,159443224,229917772,221627984,980954534,-1,382976988,884833249,-1,166236431,805356458,165747117,-1,-1,540284738,875682671,272731551,841301957,-1,424102068,917382811,478688219,242279582,-1,-1,646453363,246069226,-1,731348039,807451032,-1,224984492,549884955,-1,452692431,924808459,904112508,-1,17269389,803441680,801865776,433655467,96055852,34839207,537950973,998574758,10241740,-1,-1,-1,531303893,593918174,209221654,746108131,976931611,998474480,948003340,292960022,358095714,601617815,704910906,-1,596152866,-1,47987014,873519908,330469946,483919178,-1,570968650,235108363,660034887,959673429,639152859,966434744,296674559,87415093,653414857,872363521,968381852,279085119,-1,495634341,-1,35517731,846767449,666568228,238055354,-1,816448250,548750336,-1,-1,855317825,608672811,-1,674448150,457469558,-1,902753473,732052064,980970074,899691253,-1,610811215,788789744,666324766,711010217,356297303,-1,490298550,761636938,-1,-1,-1,-1,880348545,-1,35292026,-1,747710725,579677648,136270167,457729496,816257613,517121167,793578195,239801939,384472724,312723793,276788001,625568149,553983464,68418256,999805679,905046317,-1,-1,-1,-1,683068320,456610885,-1,35094333,925302923,330817196,109174754,802660053,-1,432395511,388964778,595770448,-1,575583296,312562242,34544826,208304019,787787835,112454492,955926344,121670611,681457006,52527325,750266027,936490271,856115649,411405168,320337310,172794081,189280330,-1,703712881,-1,490567027,39850484,803308877,273026230,542219068,367852098,-1,-1,-1,-1,734228096,435163791,-1,178086847,655650856,-1,688346095,605187899,132790986,-1,333023747,995881003,-1,886505856,769375725,124388474,595079510,421786434,557389949,31519961,762868071,272078921,-1,754126415,472244152,-1,-1,224253213,398624648,742437947,379278284,-1,537058541,277619901,-1,95629512,344780512,333602117,89869162,-1,-1,98924422,-1,-1,923743627,842723847,-1,482224920,-1,-1,863340370,848743806,132069115,458923152,634981236,996793355,-1,629904949,-1,812974239,-1,856971808,860619077,617401748,663731170,-1,-1,764548909,223961357,851962634,339838344,323204121,-1,295998526,37319312,779931657,237749057,763092071,-1,843586588,830650948,-1,38813170,-1,228096939,-1,-1,-1,564735537,321612539,-1,641207737,390754942,125549713,161473077,-1,-1,-1,-1,845808185,-1,875998059,122614420,151473777,224333163,911235093,639904264,786684863,887616274,-1,283455273,166617364,929993475,96992597,455237302,892431529,57366852,-1,299772672,819481527,-1,778739133,68988773,-1,268073954,553213092,-1,-1,989565454,-1,320388069,142726606,214998676,-1,703712283,-1,734469190,836943126,932981727,-1,467907670,-1,-1,378022210,-1,780970372,818940529,257205764,475551865,113873802,894968028,416718995,-1,854381839,-1,-1,797222669,458950610,487220454,-1,574972935,-1,831363509,-1,979417369,977828863,718455697,924441924,-1,405536759,326548698,616383899,671783948,-1,115602495,33250628,334849338,926150404,103041281,-1,-1,-1,80569193,613453020,179758906,-1,-1,456515658,-1,650964962,232687164,888685170,-1,405388874,-1,921780429,-1,599325273,-1,304014112,524881637,374427300,421197367,154962984,951135535,-1,-1,611267294,233898074,307255198,-1,796949277,524647921,224847990,137048696,575050650,227580429,252006839,319125162,216633460,-1,-1,216824361,342057221,674306364,863989934,151186087,569894653,261193980,569864832,935603750,-1,821595680,980528457,978228920,251076468,602932693,929925658,988639185,569514742,251613709,-1,-1,401801726,625424355,152472416,28209594,-1,342281219,74363152,-1,442197295,650290909,29244505,-1,-1,237733539,967270247,-1,807002144,969520927,-1,196628929,862263782,-1,-1,526463974,-1,-1,-1,263363529,565990212,634096858,159583592,-1,380325106,992476247,898148354,-1,-1,-1,561807986,-1,-1,223845859,592047010,-1,-1,54400840,286490136,-1,473410375,630942207,709485517,-1,793680548,-1,-1,-1,-1,412296027,294817053,156453128,-1,193157266,-1,638607272,426809898,461175021,293425263,794959725,-1,253372270,-1,703632029,71292651,425949478,-1,923029247,46631991,532528538,-1,451249102,756096133,911658195,-1,152309372,-1,-1,-1,27137116,685323871,821792874,-1,104355994,-1,217212308,538772466,153064933,-1,826048335,212959104,-1,-1,733531623,902980629,789496686,386200848,754138419,370608200,144172327,335344418,197027504,646793172,53632888,172205381,-1,397190260,-1,470281845,-1,151332854,-1,774640949,758225423,386157718,43206195,71672336,810919236,782004783,38188184,515685597,67641599,292208998,74722821,-1,315336593,833738552,-1,369298322,352958368,680541039,2747528,-1,968585736,-1,-1,-1,293647226,746498780,993086311,-1,757837252,493775557,346908594,-1,-1,365581284,-1,127879626,336719723,-1,842965480,846967375,443366575,-1,819910605,-1,759299974,-1,266686822,-1,816829099,37058280,942898531,-1,173223831,926180527,571569550,576702278,203486887,158349225,-1,-1,-1,-1,799188026,249210714,78877692,70197527,317389632,-1,-1,-1,613400128,770800059,988736581,673302962,920245166,321386554,568822567,191935380,-1,-1,-1,-1,-1,353907379,-1,-1,72216495,345594605,665912050,757586067,96998360,231688274,989910194,-1,-1,914849784,-1,220858915,-1,97631973,-1,-1,122129654,-1,109325846,-1,133710705,945167716,92637970,-1,226060042,-1,239599512,259032456,794501963,264586916,570029943,712881100,376267519,-1,238198044,327047959,170945184,775194540,879792527,300049922,555355731,739435140,811343022,399959366,-1,645059086,399374673,657450620,-1,-1,863737669,195206185,41616685,988443354,542243867,76954463,-1,271605980,-1,721835377,440777153,521878244,432477217,985138053,95657151,-1,-1,348404682,-1,32166943,210456122,405207742,622844934,-1,149917435,-1,818018335,810747842,979836062,108183787,-1,212043244,420911521,410430653,631471993,618229112,-1,340148892,407825106,-1,579255785,-1,-1,336100020,470417867,-1,155552395,623718434,-1,-1,311406951,-1,901525564,-1,896860350,-1,469479191,495990900,551716020,-1,808733321,-1,231448700,204496115,52668897,-1,483553367,530241703,754962868,114521379,-1,591771339,807449262,68515538,923339236,373065095,-1,-1,875048506,64258124,-1,676269899,992428670,521616969,-1,15451174,966209746,120680622,-1,19850002,-1,-1,717234856,773236321,503642093,382732460,548479996,505093705,661248373,702122271,676596043,-1,-1,-1,-1,325945148,143560401,659605849,320300429,283469354,211996078,117680043,19063713,970054439,394897172,-1,657585481,-1,-1,-1,675544385,492896492,-1,-1,616398458,152333795,488188776,813057987,-1,851092637,167972841,889433645,-1,-1,981605127,972584360,436091756,192212876,-1,449960174,136194612,693578016,-1,-1,550778083,-1,-1,-1,41116354,653941877,793032622,67766929,958432928,452178344,-1,415701031,984578950,-1,892655353,326514280,2981584,104291462,134818625,-1,-1,766119481,886900735,-1,264098011,-1,-1,646380421,20652232,222302198,-1,99805573,553793413,-1,788670609,909345222,928478953,656746609,882774098,197440827,151427789,843505797,118841842,655531301,-1,-1,930764524,-1,507667698,-1,-1,-1,-1,169650338,455836811,11914873,418610851,427174103,-1,-1,122063820,155678499,-1,998393737,-1,50000541,-1,79562071,873425020,83160872,161995646,883661881,473984563,-1,-1,223047903,887323598,691324456,69859714,924994792,259801024,921447661,389398398,359716005,448931579,765737796,-1,318760885,768252980,96190958,50800036,-1,-1,-1,-1,701199468,-1,727465054,479251115,422500046,134046357,512756873,-1,921901152,595556935,-1,76159842,420459310,840245161,-1,606680783,177128669,-1,701379822,258902545,994541010,649913318,-1,233960046,160310247,-1,220089918,42415954,781781145,69907814,-1,29442048,278768363,-1,343371839,293411477,-1,752477394,686464919,74032325,162605749,638904731,940300504,988675488,521719842,558361663,337224211,-1,504882801,-1,123400982,796567959,-1,-1,-1,-1,-1,893251427,536191064,26252321,923944652,-1,345242628,208898072,108572909,330351078,-1,182645389,183589808,862868260,902478821,100408500,266507966,279107022,472188147,615668267,-1,738434536,250819650,253086873,-1,62959329,509430456,191776796,-1,639342667,-1,805466834,-1,-1,487636377,573272174,907846786,197653282,634805794,-1,859022333,217019397,-1,646896939,476646196,256144971,395988564,374592532,988326864,-1,42288797,-1,377737039,989068881,-1,-1,828473102,411591972,907481768,77609380,707692166,-1,192210404,-1,806270946,-1,337536164,-1,820422584,-1,389859803,-1,-1,802135789,-1,325401881,-1,209505132,-1,-1,934750237,122613548,576330948,585467350,143802280,-1,-1,455366871,-1,730102717,377728151,-1,383161604,-1,-1,375276003,695027200,112592566,2755472,-1,528727632,-1,316998041,299329771,767525498,865392423,385191426,913176368,823010100,-1,-1,920481951,177000097,-1,512471214,150970432,372158091,115065122,788504259,484540506,537172878,229473680,-1,-1,-1,-1,460001425,-1,-1,107794256,587286168,678297240,86314550,986566876,-1,412458049,-1,154543723,-1,383371832,815074081,-1,884047541,34641639,544576539,-1,-1,350551309,-1,-1,-1,-1,816872213,980978110,486786660,-1,-1,35532311,-1,861371278,493066959,-1,369170352,554826553,398762528,547933114,173493657,-1,168682030,-1,815990693,567543783,341123094,-1,559171925,416792939,739290748,-1,-1,872125765,636237547,-1,925592425,735031185,-1,344498084,498557163,-1,297799338,162207461,-1,212471578,-1,680302935,683414156,-1,40188865,209328488,305597511,-1,65194453,463779985,174346290,92875542,139853457,650967160,-1,420596684,-1,-1,96569441,717323405,794577688,-1,343962943,673208347,203816543,196882963,-1,460844058,5314715,449011339,529594629,850751127,-1,285923926,241480486,595980738,349568206,-1,4803824,-1,240944670,-1,497607056,634898002,-1,-1,193178789,874864419,-1,-1,-1,377227483,-1,859159498,915707708,-1,-1,-1,263094567,618249158,-1,-1,462466115,995888539,204160453,521909244,236311569,-1,800920901,400533305,829771624,269363123,662973732,842224961,-1,-1,749677183,427601379,361356400,520454700,641076115,-1,282478755,909472043,569660471,-1,480606317,276815887,164863650,902083751,555443848,-1,876087096,631088903,-1,191222380,-1,555263837,701900785,480220302,377580907,46428662,-1,620030594,-1,632559754,802100465,114953157,210385526,-1,167851542,818399493,408397053,-1,485693994,-1,731484418,50074909,831846789,-1,704559852,-1,23159906,-1,-1,691332492,532349423,839209157,-1,37230564,-1,409722403,697869441,403363779,470880761,135253450,886463258,416323357,827585793,40196134,490922726,756277280,-1,453892088,166272917,488908857,978082185,122551360,801804049,-1,-1,994663712,31158984,527417066,107607406,213627565,66374808,-1,679735428,223230509,270547270,464893080,608200702,687697562,505605648,967729403,111340316,517114614,67311743,-1,592105009,-1,39718935,24673389,-1,688872992,803406389,70820792,839043976,-1,160608072,221205901,155473857,188548689,102673297,629104296,284992216,-1,843987532,139134735,-1,146117462,682385552,750597366,980938994,-1,-1,186024772,-1,597935554,341786191,-1,853490534,161508912,475933529,-1,834003600,391690973,-1,836846735,-1,420484032,89091433,-1,-1,-1,-1,-1,-1,143780815,986420361,-1,112749629,232886281,985418066,438811922,60537678,-1,-1,-1,562255683,-1,285496014,774512033,-1,494557757,207244311,498931399,-1,616786110,332969267,-1,-1,-1,25498780,658050990,-1,938460043,-1,-1,917481384,490257563,984496535,-1,-1,631590534,699587798,-1,-1,754169578,-1,870952618,595212805,650380214,941422627,-1,-1,991397835,-1,155838680,761319264,374994280,336035268,465342813,786378824,-1,687267643,532340486,-1,67106720,217423789,631561745,-1,356239819,686199757,218189615,675242160,-1,438370058,254865383,247792007,537146742,99419626,590899572,216145894,887180710,876429775,713947129,612844085,99956690,-1,105579370,145638569,741839274,157796234,-1,424796399,810974841,-1,537647783,621663116,-1,-1,814296788,348679237,631741224,312148946,-1,-1,-1,-1,104550844,-1,996985930,270694672,298944855,-1,957693028,345747759,-1,-1,-1,310801944,-1,142398881,946024067,-1,-1,290467516,-1,-1,811471259,998144731,475676678,94233272,127954779,642579538,24862276,603935574,228442989,865029958,-1,-1,-1,336768462,-1,845554184,163105758,858203851,119254383,436283503,-1,113923298,-1,-1,666552371,-1,-1,-1,706918478,-1,752998724,546908485,-1,-1,590363714,723571298,602264148,12017578,89030584,-1,225885952,860241209,-1,150572711,980351373,632652446,947225584,563378916,435582595,511892207,333065460,718746164,687110614,739209710,-1,414019235,-1,132367400,797310944,307930840,134448352,134991613,34577417,500403134,498804111,453002863,213140381,-1,457985159,185641108,-1,984470177,673401908,436353361,861408709,233780942,-1,-1,-1,176277172,948148571,519603395,430638097,322316639,862166447,-1,29396506,331753678,-1,-1,-1,395777512,487748337,304801939,738010148,957128813,244871224,-1,649046339,507814448,403621109,-1,305460570,23515539,-1,842906748,788756659,927309457,222388709,872438868,2721770,928815227,941438082,283869553,-1,570168999,-1,-1,59209022,-1,266588146,513723683,657325102,121100184,786023288,553650012,-1,-1,718745975,-1,-1,-1,518625004,-1,-1,-1,896958244,-1,-1,206844347,-1,634502592,709804299,123518975,975990618,6459182,811349518,-1,386892285,-1,456382076,-1,-1,-1,859554583,-1,124202133,265610590,-1,-1,219209814,21154776,-1,-1,466548024,680976873,945023555,520989291,337992293,559568395,570537174,-1,162859881,505125094,-1,820106298,926827740,936812025,368286394,269197704,407148136,550493132,908573574,-1,37570116,98571327,826039681,287402211,856256341,-1,905674779,782110070,354971020,344102197,1152616,215303893,356515635,-1,551021838,-1,567255243,307249790,-1,710636963,300213998,879019671,933293905,406646698,614966668,364306961,4934072,251775257,364733266,-1,-1,-1,427363169,618510929,3569826,26530331,311150085,59939962,537726515,78811517,512206347,288765268,442289173,-1,380922890,296352960,-1,475366650,650415594,-1,-1,403545075,547733,892963013,616257525,-1,160930560,-1,-1,835602346,-1,65428260,54084755,294750321,-1,676380925,506923707,-1,634093957,335049991,526605049,517463527,596299325,667108654,351823612,718083107,962854540,177133651,838614357,-1,16391703,543826487,898679289,967497296,107771876,441928275,-1,121000894,-1,-1,453318193,-1,192637420,207850304,-1,-1,-1,513565746,60269041,190143254,870180583,-1,399320967,-1,-1,-1,255781993,509917527,950883034,-1,926843294,210170504,149420550,-1,-1,940988563,804467893,-1,779933050,-1,668178182,586465396,330262569,219168074,259204829,614100449,179736708,675808967,-1,-1,7229494,548772560,199985352,573397875,367110041,-1,813582980,98930666,286795745,-1,769694251,625181585,117959195,968798739,620463328,774494063,66538287,415787358,-1,37909221,798198823,-1,128474719,860130196,607498319,-1,451166614,951535232,-1,579355976,157401536,797234744,561372765,-1,-1,738265543,-1,-1,28871919,228612255,-1,871698897,-1,199490175,699111709,964187277,115785878,947345722,458374341,-1,-1,-1,817395517,-1,440043494,897233772,766921023,-1,621991666,138448039,47878793,849754312,-1,-1,-1,445474636,-1,967275947,-1,257912261,678151223,114226481,82062038,89469752,587607316,912974294,-1,919649422,209150785,831655526,967470768,108460106,409828631,460176890,-1,-1,665714314,719651898,-1,369823897,103940924,91374105,179503126,431670285,330501482,-1,428556002,542347921,-1,-1,561901672,731328721,950071142,-1,578034641,-1,777268277,460444961,-1,-1,-1,22551063,627898435,724572676,453035312,-1,-1,-1,-1,-1,67546481,-1,273166684,8218091,87859215,5881094,-1,698402590,889525173,443413904,254300972,652164740,500697617,325281190,-1,550852151,951984111,-1,770323700,70800244,432458064,364383159,762006800,454535434,-1,384834019,-1,769514372,984948992,773813492,-1,372918254,661633295,428211240,149514180,515605073,-1,503438295,327012965,-1,416804316,986979477,950781630,-1,-1,434254968,588727032,757157610,-1,979042575,328766458,-1,275659385,-1,-1,535865448,-1,358904788,829103176,2201978,-1,-1,518682785,71353341,507409290,436561429,-1,881778180,-1,65612746,-1,477377847,-1,454416716,-1,-1,57831077,846439629,141158837,-1,482600418,318244019,260050175,633008438,-1,-1,913313380,825185158,733056963,583405296,854879582,374909313,711105630,456840004,195012591,319189711,348219213,-1,833729542,664889183,796060856,234451319,355618603,-1,-1,561122899,-1,476441645,961938240,78345956,-1,490563325,170399108,416224960,191240420,856903405,589739599,636843504,-1,304134121,-1,93156323,562889845,552746704,374457418,713243498,967210552,473777387,822614750,507014529,-1,950660941,685289958,-1,229349278,116312769,-1,543734437,423762301,201590583,697984006,-1,183715078,153730505,-1,488354032,-1,-1,-1,963215578,-1,621919842,160463906,897401958,695287889,365044599,995632822,551893359,493156175,-1,-1,-1,-1,-1,805259018,244190073,123712948,-1,791059112,614758785,139252285,736430053,966596477,519431690,577653659,-1,459232096,127967319,978873770,172475233,167073901,-1,847925178,-1,498815783,283613430,842798666,344027643,-1,125143827,482902477,635229806,992310042,338808,830149125,934390771,629477943,46100121,275464902,701434551,3881946,206759113,-1,37604015,625850428,595348935,-1,694692431,-1,-1,-1,515709662,992402569,669388636,757416946,229908919,-1,741519131,149157659,556069679,-1,448661633,981122581,42547418,346337147,399262460,-1,-1,601896139,12509525,-1,-1,38500640,990454430,804271741,-1,650154763,53968761,271367927,572334456,843790639,843158428,-1,-1,-1,414791978,279071777,-1,-1,715365635,987465062,340015460,802238011,668813570,699118065,-1,-1,99919760,507930337,397361473,115509036,158405478,353247374,-1,138290071,-1,-1,589382202,832430311,-1,488490443,-1,227124374,423085750,163011144,312832237,150455782,240227512,-1,-1,989359242,-1,967704090,-1,261112164,893284956,-1,150164551,-1,993237521,195011435,486286856,-1,-1,-1,-1,680809057,-1,550103181,9026608,-1,15180461,491808397,-1,890955029,-1,446862734,-1,634161574,-1,156279368,793292910,656627648,931316589,-1,-1,361554898,-1,58065570,411785905,-1,350428788,-1,728601540,113995798,212851211,737395468,378804106,937538736,868573271,780934951,52802898,379753617,386975927,966897092,425858038,103144656,439519393,289370009,747704427,-1,677688623,792077368,-1,-1,-1,981123938,-1,-1,562685589,606557766,430709600,-1,708720853,-1,162686478,-1,-1,-1,-1,127640702,777661904,-1,-1,-1,348770742,157314617,630018561,293537430,-1,631837038,-1,332005616,-1,-1,-1,253860646,789655037,914305767,660267773,303257448,127832388,-1,667631187,862413173,658700989,400441732,822061063,864709110,944111493,999472343,-1,924610279,474269645,486444202,472168515,-1,993356006,314192777,-1,534883616,-1,803991857,646719831,895062458,58634429,-1,571536801,-1,-1,462944115,838169678,341741751,390705329,-1,255613319,466214312,-1,110947307,-1,717098027,958405298,737569558,-1,267786238,863487877,-1,604249394,-1,586159959,963339781,588641151,-1,779591254,816283812,189322615,-1,-1,916078791,818914139,-1,260027823,928286788,443813043,895183760,-1,632301913,-1,-1,542874318,-1,740842390,-1,674837734,610367962,990336883,185413472,-1,-1,-1,543407346,546687195,-1,-1,-1,654277436,932132142,-1,444858653,537138986,-1,751574705,933394917,102273219,801582227,690093468,207709955,699403844,247643079,903587928,360975521,-1,-1,523713264,-1,975383014,873359228,-1,-1,363168962,211337535,-1,797546248,933496474,-1,-1,807635248,532502601,360803614,511808009,870908373,476238266,412428806,359187988,853321545,721236320,183879057,63706139,981199740,322684607,871380369,-1,654483462,519927673,-1,373079158,441124984,936434468,-1,174608041,947045680,-1,959338224,-1,174818696,475805314,-1,-1,-1,112109144,993393992,-1,8380646,-1,186821077,794816438,139176023,-1,920727004,430849371,675408548,-1,702449690,587524430,752872789,126492849,525820588,555560393,358440215,132060047,-1,-1,167154775,362617259,40914674,-1,258977564,202152481,823473328,-1,787849485,-1,677291056,856111730,589187584,56627474,-1,471206518,660613524,-1,-1,716049103,242691954,-1,-1,801190894,853786949,-1,181239119,24489110,359820178,60600597,461134309,-1,-1,41611409,631654631,551832511,373045846,279139102,595693343,-1,95129142,-1,295721031,622036327,636130048,469552601,-1,-1,325831465,-1,-1,143351917,372938102,-1,178681671,420899645,887918849,297533244,773614507,-1,528573779,68695073,167501284,695723630,-1,760525821,764772683,965118955,6617138,82238422,-1,183968134,500588541,473351545,-1,-1,-1,241974830,896863472,-1,657476332,90908856,983901996,479977587,-1,736614067,-1,-1,29656239,612387236,313348479,471490202,-1,523409211,425481182,66900789,716672508,708169501,-1,330741486,881820032,640526608,517594913,539520068,895412891,-1,34289370,-1,-1,-1,-1,48710453,-1,38218202,-1,526787085,-1,-1,368644593,191083109,858387639,712892423,188677568,713272887,183058874,774241327,236641416,678000075,688258691,-1,855115123,53004569,371014810,-1,689157998,-1,700930580,803531686,525943812,806065656,-1,-1,743179649,148983785,193541987,154515254,-1,395378299,248754157,-1,510583963,786401116,531045658,957083544,-1,56797104,247251128,-1,424230614,30530052,-1,461699273,609878971,96407766,704871052,999965317,314866478,33531251,787930270,445660319,-1,881073189,463390587,-1,996855601,992870407,162648371,-1,823005028,415076954,905485959,-1,-1,-1,443781103,838865721,548641226,410434211,-1,-1,710848114,-1,307293309,878627343,-1,912129411,683081483,-1,754245711,-1,591847833,988884040,-1,-1,735166058,421351146,136989680,333352527,727263216,545471793,970113269,-1,952946552,541994310,781814560,848623763,-1,-1,-1,-1,-1,504703784,-1,426216536,485105861,386606705,663170774,727643789,312167619,758375971,720032902,517526808,-1,-1,279845523,179480604,150411749,-1,2740458,-1,-1,25762523,-1,-1,-1,233188085,256416739,-1,957954338,266103857,112317015,-1,802047109,891686513,-1,-1,86043353,636899194,-1,884704626,428746864,379533563,587418763,248983208,-1,-1,253818603,-1,570040954,59529540,820608018,882885507,415826338,902846895,-1,-1,67479130,126587636,-1,762721758,438479785,402114442,197131264,712347055,967917868,185448537,-1,716215260,806353119,91194834,601294605,710361444,-1,689096571,438305450,770871711,287475835,222371653,509305898,-1,-1,872809403,694212965,379544730,375026334,916471420,828640773,-1,-1,562037105,-1,226618703,-1,862222976,674830448,-1,900439578,752078971,-1,-1,133442895,-1,-1,379592095,779107216,-1,539314176,-1,-1,669026348,745248426,386421598,854222090,665646528,627394223,696211177,446992918,-1,-1,290909115,740216797,787653463,854959158,85559725,-1,672560978,-1,588555304,95786321,-1,830346613,-1,928623334,136489186,783826607,-1,462923063,806807403,786202500,-1,-1,884391560,-1,783791775,590153162,-1,422926938,555854207,360094848,741225649,899908044,440842543,870507822,-1,184327228,384425948,964148324,609535241,-1,358295559,103691176,680196014,-1,519440048,919680733,509335243,598929838,402407085,686606851,-1,563939820,391629276,581431334,110199330,299848438,315346624,389655340,828833777,60015565,-1,801509181,116262409,749667734,228333814,-1,170012797,577562264,-1,569961923,604127999,404201611,821061295,946893024,813339788,-1,479684592,-1,708425908,666092365,687377095,14072309,823690801,-1,-1,-1,365470137,-1,946592887,747504810,366407723,376277391,977661613,-1,-1,655791006,-1,-1,101473008,588318468,-1,265423839,954222147,425381868,841344179,-1,-1,-1,490644482,163566682,-1,327631096,829128376,32115888,987722017,409260470,-1,747962413,-1,644077595,-1,352882517,759970430,6059933,-1,962180751,889174345,606662236,108071211,578010426,662887627,626302337,-1,274863306,-1,885202842,-1,-1,698563231,-1,118061441,-1,-1,-1,-1,-1,976351468,-1,374423307,-1,719571465,694532510,881715068,80502597,98649475,350320949,191244351,526995159,-1,-1,571709905,786682647,853136270,817868984,467840266,431100749,27883001,114300570,-1,809443304,350710795,149953068,789383405,-1,-1,129234276,190819286,702402749,141026677,-1,477083339,-1,242824174,884912541,837091215,600780877,-1,689991944,51851482,47956124,604905148,260414197,737621241,-1,671006493,170521971,2755672,708319820,306120098,89266889,852701986,458609929,-1,447645941,215619567,693635621,-1,684419300,383900442,324695031,621499311,-1,138890913,402481801,284718791,943517921,-1,946288117,426009690,266989060,135820780,-1,746884165,637268594,-1,242752677,-1,599091431,213581511,-1,-1,421259076,834110614,-1,518049914,640148898,602896612,975498428,-1,566556628,-1,136103868,-1,-1,507517801,108969142,-1,995149848,-1,926270300,67021094,262931614,507400900,153252127,511235238,248278530,439094083,138770816,238338396,-1,735441060,767286324,-1,586954836,209742631,896493965,-1,761550026,-1,-1,196755020,-1,432996410,517923848,708249930,-1,16639889,152893572,360326906,-1,331522680,-1,245312919,-1,-1,535247641,-1,996008749,270884005,551274429,597339890,991332586,-1,-1,-1,-1,-1,-1,566241432,499822012,798880834,-1,641297886,-1,994766730,361527841,-1,334803513,800342105,-1,650340563,768510918,262973983,711203648,951761181,239633856,991559713,392483793,960847081,-1,144135667,650269110,541277193,-1,429766643,-1,-1,738568555,832980014,341361943,575642800,440810970,270639168,-1,710481285,-1,7991076,-1,514107860,732809498,630113243,989488480,-1,-1,614839899,696455239,-1,675502462,-1,773165997,428783444,-1,681633900,318070731,773168946,799624331,-1,305596901,297178777,551038592,372954217,-1,662460398,-1,-1,-1,-1,467535327,360155983,489155358,671233332,811634670,599331201,-1,470365874,507933352,757965479,-1,140629891,10638601,601234802,807300856,503398674,483583157,644875685,-1,593745553,771226699,518633695,-1,-1,304248829,369451839,667214092,-1,-1,908674754,965985178,-1,342309946,914563412,647953143,-1,774812917,626153636,984903026,213066864,-1,123555645,-1,377915701,165232062,-1,651075918,596657960,265705273,-1,658827332,633328184,237350163,326289985,610488653,-1,273160490,913129811,640754855,50976814,647568038,-1,-1,357682308,845877616,-1,76002780,843920978,-1,126667154,-1,619595830,27127227,-1,-1,418915541,-1,279433826,38898482,639453795,343753797,723544684,-1,756697435,997087686,619997879,233512100,660973515,862568758,-1,728562101,573511044,914596617,-1,-1,-1,-1,736659272,777350070,12016416,737102409,855048447,275664031,-1,390151615,702972709,57264859,67007622,312947420,844359969,-1,-1,800069286,588132115,254051888,-1,592065071,879625300,-1,-1,49831897,-1,955785428,807946981,-1,333498201,60355707,990435852,753984003,889277014,288115862,-1,-1,877140572,-1,552186794,139668687,9262299,671825289,523782055,-1,181452843,-1,560364588,-1,902513640,-1,608658968,-1,-1,459610027,-1,612224330,13232941,917541957,803750754,165225928,201759210,-1,982940413,-1,-1,-1,195641142,396528403,803401245,951984773,460154912,491285656,293803350,962681133,-1,681535942,241958607,61370490,499055063,-1,275578490,176935722,795814952,-1,262798249,240261371,83862006,-1,-1,892992136,-1,602531824,-1,54911450,526123466,-1,240642878,-1,-1,965617595,657216556,932457272,-1,-1,-1,382770803,643818588,491312345,861544931,-1,803214536,838418507,-1,630243561,443036445,401446547,435715798,173104394,-1,-1,-1,841771981,274090888,213620372,733017936,-1,669967643,-1,812994604,-1,395624543,-1,849082877,89749587,-1,640638606,-1,396722634,879174281,-1,-1,594066273,-1,213811133,483074854,633202901,10279206,756241838,204439814,-1,946218835,721685475,414659495,299677098,813081710,342937428,585135755,438030243,814876816,-1,-1,711235702,50115530,-1,-1,-1,550354012,-1,666257239,826282128,-1,595020785,919130957,932899894,602560265,686516415,367447881,-1,569795654,-1,15341536,-1,647998634,98088912,727533589,271515948,944774304,857281782,331778486,-1,827319076,-1,866039751,356845823,85831247,10719812,630195879,27853423,936280426,434356010,511105814,-1,136080013,682644618,827654569,-1,-1,198066236,-1,505072101,25356175,55995284,-1,-1,-1,-1,475463625,412874715,292643330,181018920,897501003,-1,101747163,317913401,-1,923080372,70099115,619340602,814621425,-1,195479860,-1,-1,872101556,-1,51015635,242609730,9413783,73657062,455875729,96598475,747024871,-1,299239912,252845234,154365934,-1,-1,-1,689020799,551512982,-1,668353104,337798317,325309331,23795240,486775367,-1,698213001,-1,936591440,805194087,845342156,473059066,204190975,542619387,551558350,-1,-1,-1,182969009,658975486,218417466,13706384,524048610,500933052,805003401,902439189,939499660,889564804,-1,-1,407943346,161005557,-1,311976721,654077304,172031510,178206102,-1,747489913,-1,381328353,746035911,-1,39771633,79786207,-1,-1,586701822,803560400,807581437,40625885,-1,-1,-1,-1,263393705,996851625,577549527,606020743,75336185,759038207,364729558,896762847,987377154,912608081,-1,433912692,-1,-1,652059484,-1,932790602,762699502,-1,954336110,625946522,612637366,-1,552831134,-1,-1,791216487,75385270,210981981,720462102,937855279,406780342,814499423,641023100,968398188,379680456,210283132,660706571,75634841,141708664,-1,560931045,490416134,-1,13094527,705892612,640032810,52632360,149840378,656377588,179633831,-1,790350290,982920322,869728642,188674726,324463850,-1,-1,185128041,496376218,-1,332800536,287039033,941726956,798091915,830985847,923244705,-1,-1,-1,755172138,8727239,800063187,341710250,-1,-1,-1,65130495,-1,-1,188652279,37450024,410839705,739510471,351134753,853459217,984293085,-1,590715812,-1,678033423,390932986,322134843,736611180,807964398,673482619,946889480,564069380,-1,518721923,390965338,764854578,-1,-1,-1,692362145,53292898,513931260,899456281,-1,899543013,966264077,-1,740327060,15620053,420367789,311378701,521484137,26107319,404066513,999474754,-1,22728496,475669734,882228868,225509267,-1,90508996,880938425,5184535,663651667,-1,-1,388368886,329244949,-1,11663007,912191562,-1,293672292,31800506,-1,-1,-1,-1,874971099,857042406,-1,123861975,970879440,221017454,-1,205118784,895604366,399570656,-1,503880144,323710426,-1,925626367,825174195,-1,740740197,921587804,-1,382673865,-1,189827103,575614528,935482570,762653432,265701201,630041716,951356689,988113146,762543957,228046941,-1,759864567,957112993,837910862,-1,-1,335266394,-1,-1,-1,552159340,53111304,804259114,664950045,580274337,290422011,337848344,530604205,24101236,694219972,90774847,587315486,-1,574650869,893221907,-1,345780071,76749370,235292334,-1,93881763,283827722,-1,897412689,305125417,338724385,539918026,-1,-1,352132631,-1,116352135,266975536,908511375,35764149,148073991,229433414,19877511,988986799,964287889,-1,875244756,340308353,287860143,189650851,376875587,678444648,250979778,-1,868355027,658056144,981744733,46165823,370303116,853935292,930064628,-1,-1,773378167,494361412,-1,245111723,858287314,-1,-1,100371821,166915520,-1,401532001,-1,828462966,280906968,-1,312758557,245430047,297790408,59077470,-1,22180935,271547949,184516282,91629364,175184042,335098637,992852972,426943842,25227191,189357220,162159646,-1,-1,139021869,133154647,-1,761797145,-1,-1,163269892,-1,688181282,289414343,359950292,-1,-1,128408952,673255046,749039301,947727674,417834656,601992858,402640315,-1,897976772,963945876,695234302,320712416,-1,420165258,-1,-1,32874975,-1,-1,814901767,645870958,448629224,236790980,981359677,-1,203222974,3265293,470715175,922278852,90679145,-1,700644045,965224865,576969488,931578650,300713786,661279195,884805352,228851178,753983668,910023096,846719409,-1,-1,217538837,-1,612760639,944258186,833724605,410098956,451373396,690161321,744707511,405489665,803019866,306474231,-1,-1,966160484,729107720,-1,439315885,788933953,-1,212266280,597803459,-1,835464603,250949835,-1,367310746,773664615,534377572,115136549,190692240,350788656,-1,-1,482090239,892836941,637950558,-1,486266539,69007289,-1,519491720,-1,434232036,875209489,813468155,482941003,688853486,298682758,862422213,-1,962709954,325347659,531106291,665992717,376055293,702197200,590240817,133544590,836957053,496652086,882568487,974757782,714928360,54223886,706599965,988402660,125115479,423473983,639137094,-1,115688203,-1,780424838,5537199,305756991,803520818,-1,727951306,910247674,-1,-1,605900038,611692871,26829596,848497706,249303007,755507064,452186126,-1,718062877,934148059,975848244,92214146,717156886,636356653,185279648,-1,582648925,427499549,521463945,-1,913730539,556272153,-1,773233319,304056731,732316486,607988268,527187960,-1,149600169,-1,-1,-1,645871064,272868795,925802157,392587980,231524727,599301233,484332906,704021323,-1,549923276,698970537,-1,-1,-1,44656904,705105597,621141154,134649467,44840,155938064,-1,-1,666552599,997527262,-1,612367286,330880255,-1,-1,-1,467519212,-1,443096448,-1,-1,902564170,143152865,51801688,119141276,631647428,686747338,-1,998686923,958418695,-1,-1,144926105,214753264,-1,501500333,639468049,717192140,-1,306503536,-1,290430464,165311157,-1,-1,998623549,75173639,614201049,-1,499106748,386267137,-1,-1,-1,-1,975879831,-1,-1,757268788,30073484,100388259,936006731,-1,506810111,669197107,814354809,622406952,944761765,330740390,-1,643066132,-1,412501244,-1,-1,460605203,406093913,879635119,498838344,713678743,-1,331038847,436439480,889887908,173603152,58659125,956463372,11154393,989414346,861389627,393137612,778895313,903680655,222365298,-1,899513080,-1,-1,134200039,731260653,35709990,648420008,809815823,-1,-1,953509191,139345984,280229544,135682020,776363600,-1,844133173,-1,-1,234117420,-1,-1,145892072,29409140,714478103,404757482,-1,629896668,841169470,-1,-1,212821845,626941167,-1,-1,924766211,501035799,428089709,713391989,-1,582980328,-1,265996883,228610452,954522053,365384365,134129689,-1,-1,119428566,878914181,-1,-1,-1,88355090,-1,-1,264876655,-1,909501138,342306683,450443164,999721140,656774028,254213022,612927095,-1,-1,269365274,796012060,62313328,627705348,695566994,230453225,-1,-1,992456001,979283129,200342386,64611878,794258666,-1,-1,638663253,-1,-1,-1,-1,647445599,72608315,804729991,843222672,794065570,37487809,303325781,167706461,-1,441157294,403154649,494744136,-1,-1,950403378,-1,873284725,169107628,-1,17872215,784434932,694554399,858068663,646733446,852233970,25266688,686637189,393316405,156657791,55758768,858206777,682030358,-1,112647394,743382196,836191697,820710441,52878634,953490258,673548100,771322040,271180092,634959577,819468646,330666363,112986057,-1,-1,-1,-1,326229407,-1,-1,449244560,335669290,-1,439403422,683099662,-1,-1,-1,-1,99139460,763407717,314546357,-1,128911173,-1,-1,-1,-1,-1,378585562,568796784,-1,602648641,-1,-1,837555356,876871962,-1,327006900,653121359,801752033,491605456,493818989,595191318,278245224,881006029,-1,951581166,557462674,-1,356958860,626288649,767013507,-1,341457159,481170031,-1,485309070,-1,635211880,413862247,223458848,669862743,205535524,-1,804235870,466632932,513427302,-1,829842016,655599543,72535041,970563122,-1,667201012,478981507,15573439,577780140,-1,-1,272471750,-1,235867417,824597979,446361274,403896025,333356436,766568544,-1,91310841,959336643,-1,9420663,636482277,787518956,298101470,229065420,-1,581891976,-1,-1,595314681,-1,482547133,-1,660127514,856138025,965896190,693952555,913490360,241535443,400182356,269255583,293643443,123619457,-1,637921295,-1,488295998,113512202,680702544,-1,-1,-1,245865175,466583542,958731443,-1,-1,793549299,-1,76443697,840483919,541217001,214779232,-1,865553593,876246269,104559765,-1,447193534,854228290,190175850,-1,479009546,-1,-1,7401491,703701466,-1,272224930,552445444,432732069,265329389,113787173,-1,684033230,-1,-1,318496499,509277578,523472754,163444597,744287542,211610432,751044252,532100501,-1,685755284,788476243,436391089,714449536,415441154,869152408,461009111,473757037,793658749,786151165,-1,239594662,-1,953167246,684897376,451640072,490454795,-1,423390203,-1,728022363,973951436,692589270,243044918,324206262,-1,308289768,954484683,-1,-1,978348488,254244330,556428678,567896791,513394095,948086807,-1,888911278,491631550,903278192,60631300,801171591,461319937,934625888,686345971,412500016,-1,359808865,220001422,14291280,743244897,906092676,711805739,28542617,679245234,872254888,471448950,769484853,583450648,874565579,-1,365555455,410382565,-1,571097043,76719823,12535621,406591320,-1,330465347,-1,-1,53713847,248875356,342557167,-1,52682225,110572448,-1,-1,40665593,793510471,873392933,-1,-1,-1,857599215,-1,510761072,269019305,-1,623259453,-1,998571695,556448253,681892213,991637909,494794586,319813124,951254272,376267294,-1,-1,-1,568201017,854211089,-1,423325113,208709014,18916848,541058655,255392943,568551954,8685423,-1,12125206,-1,236154584,-1,-1,303807913,93176727,-1,260154787,-1,9146011,537971967,323227977,505302532,906390204,273661682,6693661,-1,507740539,825671672,-1,857545899,798826803,69224703,12119591,896644878,950929675,912222143,871544310,693426255,-1,717010451,141469484,397635641,115312776,290917922,-1,349401871,90380930,-1,985313887,192930207,223435348,555917082,495778706,-1,865589794,111666517,159482591,635438834,306191536,315324675,-1,167826669,-1,-1,968977319,442588114,-1,-1,343228467,-1,-1,905798474,507580150,442883534,911724342,949214089,-1,139766532,-1,193797965,-1,571563343,77485211,493353613,659288780,274193856,-1,-1,620512477,309574267,166614639,-1,501072576,-1,288496834,18329029,398390612,227460708,683544604,870648823,996680733,758734622,604790279,-1,-1,373007391,-1,-1,-1,-1,-1,983988481,214183559,-1,-1,-1,487764223,-1,-1,228996905,425035158,981615424,-1,683925791,-1,-1,710517762,-1,986949456,101997272,676084207,-1,383342138,457728409,524826936,-1,-1,151999947,813698226,293457167,305793547,-1,-1,291862482,-1,531141936,848971919,655576811,313364557,-1,259928389,788374865,-1,556440840,-1,297023209,-1,-1,-1,603058037,302561991,698209202,915436480,-1,-1,118035584,991126989,495288263,851558542,947209830,393703999,683063907,-1,134047727,870648506,-1,673173784,152017438,487322200,758717455,616253781,-1,896049340,-1,179274872,-1,-1,326383987,372892780,677190839,525086711,351283158,768820340,-1,-1,604513546,754093054,340865971,564018682,409867760,-1,898627716,702561317,-1,330259976,410322540,691063913,-1,654134168,103464844,668518207,-1,866494034,948316393,349363230,565899737,140332088,493067540,926661263,-1,-1,560972055,977366954,752180534,-1,95184221,652840876,-1,674236683,150594505,523651093,992623005,762806889,998125634,669754164,677413997,140197306,202228645,967504739,-1,273040988,611395508,-1,-1,-1,298702720,-1,431688692,862830960,733828780,-1,929583680,541443544,-1,564891273,697463913,-1,562477926,-1,804138462,429636375,674490598,216771067,-1,644913991,-1,-1,-1,918260577,472529086,843264411,-1,183684605,-1,680935170,652451833,67797976,37332862,997950436,-1,-1,57724464,-1,375377509,498720712,824849155,977275790,-1,788524911,419151039,244347370,262848674,-1,-1,653075352,355861087,906028906,605641690,4530178,504282890,956719220,409180633,458160175,818087270,724040497,194655955,-1,-1,988342050,-1,674375084,631784760,-1,-1,419136111,897186713,850136516,939990955,390759480,522909579,-1,784246219,339163783,420620285,-1,-1,-1,654735566,374039340,308150271,619789526,176935047,884125629,793790126,-1,553785964,-1,-1,-1,-1,506139729,25969284,667693351,298220507,-1,546574298,338124360,592200083,720535799,664519197,629311136,-1,401810329,234538709,164134703,-1,-1,150180737,-1,-1,-1,600232128,-1,257956680,395696468,-1,124200585,693676945,798514223,934836207,816725141,578519328,539663039,316910353,793702227,-1,231637577,852004941,949728149,962315750,688901692,898839018,-1,-1,421342972,954073241,445614854,190789410,477074728,343732046,287244957,292149830,886114253,809109632,957046935,-1,898591646,49715281,74376051,-1,787353146,569917879,-1,627515105,671342975,670371675,-1,313682207,-1,-1,130535906,828979646,511773703,-1,54073383,470477864,-1,175951310,681857206,-1,476093857,749503118,620017259,167183373,237828291,394786240,99511889,464346404,947714718,283567823,-1,-1,-1,617180054,320174571,979387815,953835741,42049728,237350157,917522157,661166675,367883848,252746733,437618380,934860538,-1,845355996,569879081,566794739,-1,988598048,606686943,61572660,553074593,921111338,290144006,-1,-1,-1,760153109,646906997,540294274,305194052,845964271,843303423,-1,666470148,967298161,592752090,-1,320104986,776330149,411234810,99244197,225511838,417679502,559625198,94397674,417219609,641905728,507188547,376171393,587299497,39610807,415165951,344246294,334219849,318753860,559200340,38638013,381097695,145578443,155012444,-1,622202481,105459425,491725775,-1,591343042,72262708,535047314,-1,336978777,398526424,507096085,825820791,298458234,795415317,-1,766469384,745542900,617222788,677929425,181900100,944059955,-1,704683703,586694339,-1,869397561,896878938,-1,-1,-1,-1,806025572,644403381,963961443,-1,-1,886041962,920729389,338214455,287991447,902268118,-1,-1,799304217,-1,286457390,316760126,795172559,803362384,939893945,-1,-1,449494197,961749523,-1,-1,-1,196717303,-1,945168427,-1,815267304,868974359,269402381,-1,-1,-1,435103760,523040904,952777933,-1,847976179,694042454,-1,409454719,387952761,51329379,739858611,621611551,-1,-1,657783267,925493158,-1,-1,685355088,-1,-1,553036862,539610754,242383019,-1,-1,773037161,-1,-1,122155674,-1,148432260,815459499,765417622,219659555,13793295,274472442,944853059,664495350,405808666,-1,124185714,874232292,932230189,470135406,454994442,-1,719248937,213038982,143698055,444706880,-1,841962621,392543590,-1,65587991,81955945,-1,-1,189267391,227888972,612743662,484859302,642796007,730161184,987185306,592908816,-1,-1,883077613,141294144,-1,520175073,728130973,538816854,769953938,646438224,239661551,785189843,153735774,-1,-1,278517914,31999340,838086766,651461579,-1,-1,377036420,-1,-1,-1,55125479,433739796,280040340,-1,447450669,244151903,855466109,-1,757750513,522590454,593117739,-1,543446480,-1,-1,817919091,49584660,405243845,714165371,306088188,693300878,341486939,434924766,273376951,-1,91456871,966773576,451046415,870233121,840142551,-1,469633824,-1,870685689,574050806,-1,419003258,918116113,-1,526164203,-1,174472380,56381831,588285348,11887676,754672588,622252439,842747595,638867067,592137253,309343857,438391438,-1,735619815,739678511,494302965,-1,626454514,140354739,282173597,599394027,871932095,947231600,466182828,377576330,181526452,-1,691697735,743875155,-1,-1,8755833,863809577,-1,-1,-1,252753639,9516288,23952320,-1,814500499,384573235,969482733,920874744,996769423,-1,304722231,310896746,321745161,415788167,-1,162735915,634752787,802615670,956563713,-1,988323806,-1,-1,877822238,-1,-1,977654834,-1,-1,769484249,408807879,253121858,74749730,912958191,-1,989571030,987066528,141925469,763728844,37025243,307081114,20989044,981150458,-1,214453015,165423550,360786544,48633356,320259596,50744650,681235261,-1,311038499,880413398,-1,642397974,586570619,-1,68466882,182458061,962742298,253538702,-1,946572341,122473712,-1,703780665,-1,271211527,-1,391553805,220785947,324889880,-1,911078569,-1,-1,358939333,451263349,-1,997991847,641986163,82710273,906912667,719688146,-1,722530100,-1,396243131,14135024,-1,895076830,742265500,227139931,121227552,575487838,1495189,371228592,185501321,729135217,950675128,-1,905270803,-1,383980034,761084669,255525398,-1,777426791,526382997,464883225,827641031,109031231,-1,-1,-1,-1,780411080,661387494,936542423,312076003,-1,564854614,942679124,325542158,457460678,466604805,674983140,542299655,207480923,576526061,936303113,813428359,744254012,106566689,-1,616648865,242885730,764091269,466213127,-1,604410608,-1,-1,532665546,383685845,778809538,343006073,252863777,640842935,-1,309820608,922661402,270885032,136649591,111516266,778722797,219251160,617801492,436717732,702528633,303825997,697865434,202783880,-1,558261950,122121517,933831508,-1,777525628,752841667,356673833,-1,331036233,-1,697354510,-1,-1,482825123,486443979,-1,896464741,851620876,-1,-1,-1,379282271,-1,-1,-1,773076425,988153875,-1,137189995,791429087,769518795,-1,-1,292511061,447969636,745917095,-1,-1,-1,-1,261235806,891394724,-1,690920081,20625029,260275355,440960829,-1,-1,721777103,545617930,865336710,-1,-1,-1,-1,123935297,472108866,-1,582777262,64177843,337002398,559196565,106750843,-1,45617821,753134966,-1,743094776,455648408,-1,-1,423351453,-1,651720395,-1,886700146,-1,566791499,66062104,834080699,362878936,-1,-1,474764341,-1,431618834,893707813,171271304,666607745,42867863,-1,282298385,529777797,625233735,-1,-1,988500945,421705492,-1,-1,714073653,466204069,49931377,217061741,331384924,904423886,331540765,742836335,-1,-1,37859141,604225549,52992310,830160727,-1,95771633,845435534,-1,392696616,-1,-1,23277600,569132921,854754764,33194705,595592173,258916101,58088085,515419494,-1,382022169,662418063,-1,-1,343103630,-1,-1,732636432,173422559,759497559,262809988,361239313,-1,201313253,-1,835271627,404931436,-1,541259216,645692268,-1,504280625,623590225,439673669,293874220,210022696,789185392,-1,435371778,626325670,-1,685929728,931834703,-1,739104260,808992522,479580774,109406260,-1,492394482,260516185,922352999,453452069,921007401,140621084,88479147,294274464,368648267,-1,-1,668692177,-1,559092218,116199168,-1,565263492,717679694,932530777,129210997,153058951,994674468,-1,365733111,46931837,409243910,271325454,757551977,-1,175698040,603158611,612098019,44598405,-1,438286681,703702416,-1,667252309,-1,-1,166440533,-1,184827638,-1,447544462,50434551,509756276,754565482,222224127,-1,442479446,-1,80609040,700157054,-1,-1,-1,-1,-1,347647601,706220131,153510251,-1,-1,-1,796447072,574994740,-1,684125297,198845362,309229666,751922631,-1,352731958,-1,127375883,604982198,298816109,957357754,-1,517473621,115126104,-1,953936760,721969921,-1,515325215,167659830,810697478,705434294,251397231,-1,619923736,834573625,-1,-1,410911965,992785803,775446339,714123843,970188141,360342878,-1,639767057,211829192,-1,781436869,747947851,305614483,-1,560625664,-1,-1,-1,-1,-1,-1,-1,195656843,888515574,419396405,-1,165912140,-1,-1,784018058,-1,116046155,30719156,132283222,268556149,288522394,239185336,133543296,976988881,724169994,855750257,-1,943321502,-1,-1,503464146,607280850,741872065,277915424,-1,571835931,978712266,330663808,689159530,673073068,219494851,21616085,-1,356388438,611659788,797870486,512913815,-1,222890098,-1,-1,-1,545802523,178255013,405073658,-1,647312659,-1,944850262,175777552,-1,791674711,689837686,528244297,-1,919495985,228479785,637428795,871213461,-1,632358469,44850191,245497434,530918545,539474973,-1,-1,965414338,465707456,-1,604560522,31736414,848111136,289145444,686424800,-1,17932739,370744505,479670553,559791235,505042453,955574690,99380690,766935009,342547819,-1,-1,-1,383946467,-1,582419734,358819691,152044846,715517076,-1,128637609,323119444,831195455,566081417,781614179,330244311,519220814,-1,371416199,543533518,-1,287745611,691488808,530549242,686760995,-1,963995618,424470176,330142255,-1,-1,286385585,696895394,708255909,-1,-1,-1,-1,645123591,338859261,-1,250079158,-1,101933716,469017439,-1,662326959,-1,633538017,-1,-1,-1,-1,777743475,153421375,891753373,756303824,-1,583651240,632761152,915352169,346702692,-1,268985266,816166266,230385202,-1,-1,-1,-1,533281458,-1,702550417,-1,289248783,-1,354741592,81684504,693783705,-1,-1,542481636,162669635,-1,147091403,-1,842231042,467839223,55424315,485070414,452794928,752050338,237682542,591587564,181883547,295881081,-1,555923233,593475068,625234958,274813478,372365128,-1,643293758,-1,581554770,256687364,223077069,758672734,904721539,14441618,-1,-1,792438928,188581347,161125941,-1,9301638,156959484,-1,69960333,597593478,-1,-1,-1,106475755,-1,-1,-1,909907260,228498365,504538384,370189238,827214759,-1,-1,392537446,894724101,-1,-1,-1,729565206,-1,763568204,136839178,897513687,-1,-1,590453958,328027374,-1,667647060,208720830,-1,-1,872111562,117897529,185733823,177553454,-1,656719541,742180827,-1,445403799,360330240,471470423,614652953,582981012,750041142,766650303,457390661,122720273,945161595,-1,428093912,874030913,254492890,-1,608591869,297941050,142541407,662900882,390217337,579538859,387192218,631549724,-1,684074835,757716987,460528702,-1,-1,872371642,229006013,67976684,30211999,168737988,499911387,447788924,15349197,694375712,927556530,553261261,208979304,84238613,423241694,933025116,-1,261766175,357499991,64147640,-1,956303553,637062954,256179973,214986351,-1,-1,533874229,103688757,448361912,236600117,702498807,562508530,435022709,100007723,-1,539992449,-1,163666647,509579418,-1,-1,677436276,724277835,928396255,88875703,660861212,-1,-1,250982699,147712104,864191410,240773609,347103257,-1,21784669,-1,442113180,633830690,158044950,688581836,341626137,309608483,917377729,571807799,588152860,92423901,88309500,379913707,417437972,881284520,699813311,739485359,-1,724712039,404330015,857440201,924342723,-1,111266134,853991979,-1,255020430,-1,743095042,449391073,464841449,-1,644036444,520028257,955518405,-1,230009611,198741550,827177590,18351960,852939756,-1,620441000,557373491,-1,845975037,-1,186034130,584083797,979514178,462080368,695656465,800617854,487423923,11808268,723907005,-1,-1,264469703,981851059,774323424,13562737,950351486,29483785,388638788,960464779,70792834,537121167,-1,-1,874894396,-1,627640231,476749292,334536089,608393832,-1,507167311,357134398,251166023,264467724,636992720,-1,717818879,363010436,-1,10098661,-1,112044579,814890306,21552967,640942165,453417683,-1,670374313,783739790,736868187,-1,473868228,136211937,718973130,951022422,-1,63158948,219269908,621238263,30747866,-1,615404013,295912005,369155997,169252063,-1,826392017,-1,-1,989091326,-1,90981442,-1,129847771,700165626,255676279,-1,451370308,441955401,69293314,-1,-1,766279081,470749266,535136867,83432494,442984717,596460309,114995616,658690206,-1,555659458,-1,-1,77610024,242363170,-1,52633858,901842818,616070211,853787524,164884233,-1,-1,-1,-1,352745697,-1,-1,-1,351611915,-1,521778474,820228011,174019456,-1,-1,165448691,126491560,-1,691388083,183925251,-1,339196828,425731887,873318693,766176699,-1,715921855,965295821,653390067,62133697,45242439,357865827,-1,-1,605389648,238341398,-1,888039900,356779217,851100886,-1,673108385,665362389,-1,233972803,-1,156040769,76101160,8034032,658298317,103528709,543129273,291149414,-1,612421521,202780809,537127095,659049555,549297525,442158738,500116210,-1,677864870,29887686,51263459,622698019,-1,-1,-1,-1,390817593,538973880,115130472,621552458,-1,216671222,-1,231700091,-1,308251125,54720185,541681365,928172580,-1,-1,355410245,961029096,308153015,75386657,-1,430935307,945134730,554733958,-1,-1,544971344,770727082,266062645,126447594,-1,850526394,-1,481447578,-1,369063475,494412207,209744720,987582112,671698672,173335177,-1,802788233,707283582,53490603,-1,755072764,468437898,333153796,938270076,211923103,171552009,658945241,311151701,-1,-1,464626958,446453516,-1,-1,819520839,806905588,495477220,-1,619016053,591896986,-1,798807512,429130998,-1,602346362,-1,966840248,698376158,974588828,530969350,963899751,-1,458235304,217954555,-1,250203719,161097898,-1,537432323,85003600,239181218,556872182,384147148,188584864,549573572,461180293,375783801,-1,-1,-1,288817568,791493520,383349843,849531333,237242123,456696977,663469911,249673798,314744276,707395451,699462845,-1,822535454,950071379,421435725,995196864,-1,20344932,-1,4073903,746424713,93978045,6672579,999781086,-1,947907539,-1,566939214,-1,-1,533234208,622442871,37751101,346086090,1091106,-1,-1,906947132,725007265,-1,-1,-1,942391704,226421739,200073997,-1,241677584,789756619,-1,-1,-1,524783636,99345908,-1,138280755,-1,-1,281664007,-1,557469295,-1,578295351,-1,591961012,159449293,-1,-1,296117328,-1,796938344,-1,230952232,943965171,304425789,-1,641082729,4225697,-1,-1,-1,720119180,273058422,724703648,-1,426754957,850912386,-1,-1,565302658,920455842,-1,-1,206311672,607571591,860933352,-1,-1,391518941,774264159,489996217,-1,-1,774062269,887306204,335708665,115052545,74910067,286157990,-1,-1,24676012,136011022,-1,119616481,776580542,40679818,668353854,-1,813667418,33978485,714427717,574719496,23035152,-1,64196340,-1,-1,573782415,550536722,641626294,-1,725637824,989851795,332067660,32022276,411401766,129914750,-1,-1,-1,-1,581755465,397953418,357386349,-1,613963906,157478870,553250188,137119564,737433138,369012085,222160791,-1,856452110,384545919,-1,-1,847413408,36592523,718165511,-1,-1,836354022,-1,189406399,333758498,424880168,-1,-1,625933860,-1,186995586,467314357,185787823,787894285,-1,821616103,400183539,-1,387768283,-1,-1,204454269,-1,75245494,-1,937124157,425515859,453484984,792948847,408113626,871698350,-1,214501464,422552393,-1,-1,48682070,534802341,670827970,-1,704485318,-1,-1,119175374,-1,-1,23240441,899987948,-1,709810745,-1,898427372,852280406,66412598,-1,-1,301409345,466162193,-1,556253001,573601063,506812931,975719801,-1,908990729,-1,-1,531559334,-1,12452060,-1,350425734,827671801,573618970,-1,103825661,802863844,-1,837279263,-1,532406575,28104328,-1,819821311,425763446,321327394,318896343,978824075,-1,874914061,558611001,-1,749930822,-1,-1,468927403,-1,441828717,32761975,-1,791260045,490095750,-1,859046126,-1,-1,-1,114938206,496607963,-1,63172314,760854661,-1,144675823,481687181,-1,-1,161971567,542758661,-1,-1,32706262,805088944,681955101,-1,267856783,633425402,-1,-1,580148264,-1,495407535,28121986,862889833,166890777,-1,796035183,543031753,-1,-1,354434301,432779615,-1,805483767,677747756,-1,684511865,-1,320865246,998237437,223502200,44382299,-1,509713204,574886638,433268209,-1,-1,-1,551158022,814748820,956457719,584141210,-1,870036071,186880550,18305496,168719081,191827266,672415044,-1,134344034,103122814,364196842,479980660,-1,-1,928850496,691099867,369692879,613533826,619903578,-1,-1,345099196,-1,181497997,130896382,394731503,52644153,657694200,-1,909186684,67419846,638334489,307967298,106743536,304966782,392195036,466862907,-1,-1,223092333,-1,681885954,802460698,397608897,-1,519535996,-1,138485649,-1,-1,563670354,536310253,199887781,838724394,503029562,602822458,739107773,415709581,619368144,919372932,457810942,103864932,835626244,850768050,446892043,-1,357376855,493974574,-1,999510721,446213444,314633062,454618131,259335587,-1,532945863,-1,128717315,621612630,603944697,633606951,771627956,207259744,199533360,928617890,664439522,884913403,932811603,393734856,634051974,513666986,813358033,971440513,313019685,774968300,738350428,595320052,-1,876885380,177475890,-1,420791598,679527831,-1,615782974,-1,-1,383166897,458727377,647544112,815917329,763099548,338016403,481982738,833371872,166463679,475545661,-1,-1,867539894,235778322,-1,440129379,988564816,-1,452288100,113603301,622635912,736660677,740873285,-1,606192984,792938344,575127880,659324639,503159774,817652264,789310381,535936489,284998563,821477844,-1,861092468,-1,329054772,-1,339692047,358770544,465619556,140000853,704886237,-1,204555257,666004647,870421455,663790461,293446756,-1,256103313,892318177,663173586,388508930,890510488,123961725,961785465,273453510,437276674,587020319,888137222,146044145,-1,948729053,-1,-1,356922763,652134631,547895390,-1,-1,132111723,181180912,40259470,293204353,772233848,31198624,91891542,289248618,-1,257167018,640747986,-1,-1,-1,476009782,362516852,-1,457907373,-1,528475671,184949462,160681261,1511747,166669020,-1,-1,-1,733251357,145173825,-1,709991734,437905098,880679545,447916249,728372376,282340122,447659192,-1,538483488,-1,580561396,672300570,242920088,-1,115022992,568489643,306806584,24930733,-1,636040592,-1,923800670,208345551,678288020,918260020,249494319,611565980,-1,130704107,828471160,955424794,980939427,703032906,-1,106961421,-1,186189350,451026338,-1,-1,-1,128100967,855494388,-1,708047059,984265199,923217052,220377770,-1,267094695,814610450,871324740,297046336,80998448,403280552,468392061,877879343,-1,68100439,-1,-1,720433326,646407346,51088391,65443324,-1,-1,-1,440760662,-1,-1,218736844,952566591,-1,229789798,922862240,942868223,990208137,843163825,623556527,39881295,166015641,511869374,-1,618996738,917467189,592602803,655376967,686953354,197466187,-1,713687252,512108183,656878132,958766303,-1,336487543,151809185,-1,406636035,-1,557713933,895579539,-1,280947621,95446751,165007553,225759610,-1,196014129,-1,844325913,-1,5872139,919919646,561885674,702532421,232495430,183276555,536635139,148011021,25999205,79130956,464923511,-1,275364315,910201705,255275250,-1,-1,-1,968394988,241791772,845800562,295717434,565256781,-1,245711189,920393223,467135706,370323385,470696477,316723869,825124561,156706361,-1,880905041,287209920,670567935,542552436,636143034,259043039,455971591,-1,118234825,511236683,-1,-1,925999549,-1,818814024,-1,867021616,-1,663302224,350064422,864230495,-1,603062787,64916300,96044473,204873441,792026335,435690081,35849617,833676850,128178315,194858124,89993980,465752478,206890733,772021939,65712616,122995169,-1,37163999,503552159,-1,-1,19906524,890649630,-1,-1,-1,696486929,484156958,79789513,-1,35650315,702876300,479672841,623873935,-1,-1,623492869,937740012,-1,179387326,-1,788428594,266090291,-1,230615897,-1,549855083,888022737,914040315,898556847,67763530,822127513,-1,694692791,405825991,-1,517330713,-1,130273110,407276912,779695700,-1,686050733,721018009,-1,-1,267097099,187220680,5261681,-1,947459416,75503946,582782535,33147055,-1,232168494,943548029,-1,-1,554812290,27994966,488619634,907513547,452255643,-1,9783012,462429702,286397033,492699261,234013628,185585903,-1,639220839,-1,327926415,726232552,663414768,784786071,194691201,758199870,740428988,-1,626754496,962488466,620642845,326383389,955325894,-1,913151406,-1,70106627,-1,-1,613767178,191386128,663896409,419438224,772606511,296560234,-1,121365360,424384136,998337862,525261949,76347872,292178019,-1,-1,575385529,547647639,277767179,-1,305597013,427815861,51660747,123142029,65883169,544158833,156448004,-1,-1,956582830,673505613,-1,-1,66431083,-1,706591619,-1,706204192,901041535,207220202,729692150,34065986,371788477,-1,441861542,794717095,509603390,690341025,845550380,804362087,167584979,871228469,19776577,-1,291118787,507632649,-1,974519542,126975950,895206784,-1,854775363,753855813,-1,745704318,203143516,998386009,363128640,793227826,2656571,284390585,-1,510350731,-1,700402233,407576718,697066575,-1,163276434,265828699,-1,467661424,-1,659115088,-1,-1,433536222,-1,443088082,72344342,218743454,793532826,78394412,222030918,492979665,717283574,-1,870085865,520379504,-1,229387061,-1,-1,179225754,-1,328877412,-1,153058003,611717215,-1,99740118,236529525,186601797,-1,-1,7025463,-1,620278952,976568783,166324776,959631618,510365288,635653570,-1,-1,-1,949547727,-1,825826614,728056135,-1,777481881,374682125,49116093,-1,616405144,-1,691883794,906672439,229063810,874892833,488740602,125206771,268301375,55641049,-1,16994746,492194265,873560484,-1,403398861,980378196,823941812,756330725,-1,741004192,892468047,931884920,416538328,780806102,896218282,-1,134686792,-1,139416405,-1,935785485,909574601,-1,277181217,266096025,714168033,-1,507934607,995958556,491560820,543532218,-1,-1,925997773,958177469,69901945,256942133,915212544,106725638,-1,554560131,609537026,367313361,894816711,-1,469343628,986239642,990605552,-1,982740805,513280632,-1,524768013,585529530,133357964,499611616,364005309,-1,298799302,-1,39299756,671386304,-1,999932944,-1,-1,972121034,-1,989037721,954821750,-1,-1,291983826,-1,127651155,404846051,-1,825303053,222541718,140439957,868470120,-1,-1,-1,-1,433537173,-1,-1,-1,990816324,-1,874234485,61174589,360686969,138367643,307884048,100465073,242795626,-1,147833961,532370396,502998641,-1,-1,130767003,858710122,931253556,-1,252925863,853115148,814488896,-1,914525270,860760688,-1,191929085,692039474,-1,-1,848242394,-1,-1,595069013,827550140,-1,-1,-1,-1,717163343,1649358,790407150,604647699,791279138,74028641,794610478,-1,-1,443191190,234782753,583512398,802345064,-1,244986735,958187229,60737945,701550904,469571736,165315988,-1,949902277,357201431,388170010,14042446,516512955,-1,53637367,24886949,-1,261668695,642867755,494281114,937236540,179417750,-1,847810741,-1,767179030,638044700,749164950,933652226,904801070,955526290,-1,275814093,155663474,820240027,-1,-1,126610653,862885363,-1,301989128,-1,415697896,124342215,403618811,227019727,-1,930994259,-1,-1,581177982,879099431,751542235,554442086,-1,971852817,873036356,377967029,-1,-1,-1,-1,567720187,192474972,150084569,285129452,785965503,223731189,-1,399532453,-1,238784079,893460042,-1,979297000,487995833,233381675,-1,784279335,572593574,891516267,741031860,695244715,646251592,-1,19218383,730784145,242861449,872672874,-1,594528505,-1,-1,779169399,98036988,-1,-1,261380377,4493138,89513697,33360058,-1,202257499,-1,482951805,361570275,-1,920975494,624774871,-1,164978577,872432769,914600124,17843710,9863625,-1,135898337,599336270,-1,-1,408606353,437174956,166538949,990890088,431754375,314978910,291824477,550502335,730977819,703465741,-1,811093978,-1,-1,853643418,68020234,923417625,-1,-1,437645419,-1,979864510,883350392,364840987,-1,818354733,-1,198338820,663279868,-1,38326028,245044242,832986942,71264227,862659051,719427946,237675172,-1,191198246,53870084,-1,406208098,783868930,-1,-1,-1,-1,908665238,915687039,-1,-1,482126654,139267754,56751544,424485314,958605149,932082027,8441300,325325286,-1,423658307,746385947,502122105,392193731,-1,509407493,501112049,56123586,603410939,593287251,210330999,234981169,857809149,626079530,302540697,316782294,946703836,838978431,395689728,62667075,74016975,245437937,-1,239560668,-1,931595421,187221628,-1,891621527,-1,2770015,-1,225926186,-1,178074980,612011288,101497167,-1,497651305,727015312,241477116,-1,808018028,-1,907795557,108227135,-1,-1,309742737,304521879,-1,180377896,997922892,206543455,500955783,-1,-1,88924008,-1,-1,588946468,558783930,-1,-1,-1,151118709,621093565,956659746,32944571,981164979,449147208,181809976,-1,-1,-1,57686076,803314808,-1,157669532,374032928,477096675,96797534,-1,824835039,-1,540507615,776415940,-1,-1,287563498,112146243,513572091,-1,-1,-1,440607316,670569932,957320197,53028735,-1,149865977,146180687,40416700,386785284,855800812,-1,359262498,608304165,46447683,675648582,610005013,408074889,560168419,96196398,-1,290120484,192739272,147705966,142063819,-1,505238815,943122283,80064195,354211185,-1,183720925,161447940,700272432,902155910,155391723,-1,661845533,563189192,-1,109309645,-1,587683000,-1,605874053,903396156,842479196,-1,302189687,445006317,-1,-1,698698803,232487083,-1,-1,-1,52101444,-1,726296197,30879701,884506453,854595958,-1,138378039,-1,-1,-1,-1,-1,-1,-1,36781756,943356991,-1,271740281,5077124,-1,650164694,-1,785820654,159705873,322317486,-1,-1,548007987,-1,-1,136650939,561744141,473593890,245465307,380178658,415481283,-1,-1,407869756,814686159,510658983,-1,518758514,641061800,329094946,789387591,429704986,658023209,969965147,363981755,-1,902910856,986107570,-1,60407258,605115114,895067240,414153641,44702157,793679869,-1,528651231,415972138,655173366,772536974,319956342,676899642,786583453,-1,277193585,5933340,-1,-1,862006609,399890746,972466806,122265219,374176038,624794139,305718666,113675471,-1,-1,-1,-1,905536506,-1,142306414,565332133,23188915,-1,632230175,825862030,-1,84721500,977935007,682783988,403202358,604906001,979388880,481892647,436754097,364906238,-1,615750076,-1,-1,660879632,746565680,-1,-1,47725529,613038729,47965217,343489375,-1,-1,768658684,317044736,-1,-1,562617074,389803294,-1,-1,888923544,448210938,-1,-1,745673335,131681164,692701493,-1,529286981,-1,-1,36265770,-1,978988530,-1,-1,-1,840048824,900260800,-1,-1,964569661,458291382,-1,-1,127609713,380712141,995787165,692303656,326963422,121276079,575896746,234880755,861497157,432922669,-1,33047915,-1,-1,-1,-1,659883992,353268409,-1,846207060,250338967,56497594,-1,-1,852908766,-1,421331193,420755852,-1,536986356,979327480,189099173,216451629,-1,-1,-1,-1,-1,3154477,-1,217865142,395813806,106052633,860206817,153708874,-1,38503736,696782194,837477720,910787379,-1,917278106,106968577,-1,955520833,839058345,898772585,448630700,136718572,-1,-1,293260742,884139536,926919594,23214358,715992129,-1,-1,801143465,-1,755346566,4441894,-1,751419380,356847196,-1,-1,-1,-1,97632356,338113013,329087330,268535157,391455755,767270106,-1,70085733,-1,-1,596350896,93291044,303482056,109261446,989943026,-1,-1,-1,-1,-1,-1,498587568,94790671,275285954,-1,-1,852703960,22639774,331361811,205006604,-1,630862454,284205,860183307,469671054,159882080,776544756,882609094,499827942,-1,-1,975481947,578059440,-1,940523246,751495271,-1,393913523,-1,818408440,-1,979194547,244288567,-1,256240529,647181277,935215657,29965325,158284939,737635325,657242828,-1,-1,-1,332180632,897435235,583367724,-1,19471217,576815550,406600361,289200077,486374560,-1,96064050,294720846,573247163,153045221,578880761,698868811,158991038,936787437,715784150,155501354,355238100,970973865,232190439,758083386,-1,9336527,432387386,596102681,377014629,-1,895222587,-1,285520455,862635175,353269267,586839684,431983827,903910284,848794624,-1,478420170,-1,214585580,-1,-1,-1,646732949,937514356,-1,-1,428718620,692047612,62208382,453831712,801199207,831639664,965766021,135754412,-1,437457583,114909511,432100913,221215951,441089603,17727138,636353627,432903476,-1,770857814,180145731,504853986,-1,686875712,573786289,-1,578845286,313110844,120414001,450452106,-1,-1,-1,785975449,257050369,-1,330889019,689626228,556870913,-1,727715372,555965067,786182340,902792701,680551519,619629467,-1,300759201,-1,608521932,-1,-1,870670836,277425835,128778815,820219633,815391762,453770095,782111963,-1,726596562,-1,660376530,729827666,38500108,689267007,-1,51805328,-1,539801878,797403351,-1,529964947,317701631,-1,265377344,883387751,629244828,-1,306237481,-1,366189205,931465866,85730836,154171228,-1,14801365,69716772,-1,-1,334964620,717435618,-1,927654534,510030241,861298378,-1,472219509,783692928,-1,205548138,-1,888819246,195788865,255105,616890144,248749023,163170419,151921670,-1,965180261,-1,825557228,-1,657576575,-1,665619355,-1,42663422,574960588,570948374,910326307,-1,306602203,442833239,674858236,-1,848274440,762823490,367085283,522453330,101906117,379558554,-1,-1,15383070,852271375,-1,480688090,75622016,746211766,575193948,677069355,481569412,573673696,73849272,-1,291310700,920490938,-1,780119674,-1,837069117,797284981,763223605,751038699,667213752,-1,915131600,867947449,559384447,540622959,773995755,218686628,416580866,-1,52233613,757113424,832603147,247862483,732431695,487662142,-1,487780402,557149461,516148087,678484573,-1,325730771,136204797,722175642,400479242,333175170,-1,-1,996773780,613960440,576671874,108231349,838860621,918410305,483279269,-1,480727095,888013931,-1,99731886,-1,205124943,-1,-1,960749214,-1,-1,-1,632926085,597397991,797410259,863496610,-1,385451721,863766150,-1,877160812,412171766,-1,480923082,934303348,233389424,272212103,-1,874604177,967639857,798188696,774805183,-1,-1,581435270,688744935,268587578,34270700,624948655,816877099,229238883,195433218,241562243,390501778,186379942,180441964,-1,831005896,-1,768647932,750870055,492445892,-1,337772438,510544084,14021164,368130752,357941128,-1,964611556,496334818,589694751,945153784,503614144,-1,-1,394898399,-1,5289887,-1,921584914,-1,70779839,567707826,-1,756812816,331586774,109782719,-1,-1,-1,780358147,532760760,626636402,-1,487285921,46032036,120691761,331943765,-1,829391527,864488972,-1,465337203,371543772,461707040,209458596,445220124,358145133,-1,794912067,866933638,760496539,495739931,692605846,-1,838247169,542647113,500084429,270646934,271114945,502042619,-1,878623130,-1,23704434,452286164,337322054,731653168,727796374,548831215,203341652,682406201,203815469,865849291,949179936,81041120,622572699,-1,882834732,-1,71507541,-1,745225220,945027581,-1,-1,371345188,-1,677383239,188128084,-1,681642174,196971369,969019095,679654075,306011582,583064827,345426942,-1,-1,21146864,780244698,-1,108808209,457127134,-1,-1,-1,397352105,-1,867576712,59330099,951611740,757057583,-1,-1,-1,958760339,112971005,668712387,-1,-1,-1,368627457,965776205,-1,218117789,280836162,487503900,426268349,380638974,517672868,884764049,926457691,894426432,309015975,768336076,54866458,921998598,307702468,861975425,-1,-1,584446786,862640499,916116537,867716815,-1,894928153,965478915,578508906,-1,697837025,453233382,-1,759227372,-1,134542962,-1,409258778,27384339,556910673,321831577,257965185,353171086,732361550,197352583,-1,-1,102556184,165107416,319120862,646420680,142678410,225588702,815186204,13749634,-1,579246875,77207592,93972839,666505919,-1,545681586,-1,-1,32237576,237114615,218592812,-1,797383820,-1,35929744,342950684,334560086,-1,-1,584772857,389769622,54657986,279192370,109491364,953940943,579829367,-1,797076600,-1,-1,-1,409210290,986960628,652049814,442348503,53528827,954320424,877672388,206032614,904270670,851628201,203572825,599665738,769790748,973174477,469582739,204167892,877070825,443405830,748973856,802329672,337394353,-1,626267396,208190450,53232224,362173040,-1,-1,-1,765623945,52607898,682910290,370376030,844875135,704656476,933569744,736854303,914009449,214575773,612577845,547748429,559535577,573127689,673195899,470846486,-1,-1,192025424,596831393,-1,510251130,154701422,294064910,590351235,374518683,598947122,-1,74912156,165442344,391040731,-1,-1,804732184,729542856,453768842,313535749,745379492,216912982,703031622,824582522,865247699,-1,650867506,-1,716851583,710576045,196326467,812667463,54995860,843605586,966917488,507078109,69393189,-1,905985284,348038240,766460427,186115429,-1,798981647,-1,334643695,143641769,880363600,-1,-1,69846355,768865088,191857974,-1,237669898,534884800,263528558,454013808,-1,420569748,-1,543323196,-1,-1,212878590,564619119,852114650,-1,149630837,120081731,882993313,649989708,-1,673618265,71697390,-1,479736963,-1,-1,473950109,344335732,327229586,53710434,876482562,253249348,-1,487967754,770066037,581321736,-1,486266621,793211743,445976820,-1,806758806,-1,-1,-1,203934343,764621763,317325402,923243731,211595128,548162279,-1,705418736,-1,632953234,262580568,555263435,674259187,299312429,670124338,-1,148572887,36946694,659886059,259816163,287749082,740255719,151393460,973941962,920574753,551507317,466681750,317038657,501202556,816683657,-1,-1,-1,32229931,928021300,-1,334106233,29845978,636392783,326264566,704162640,-1,974481461,630985996,791338390,-1,980928659,320150932,23298094,745654810,437728030,821331148,451065385,185429268,576028579,189731227,989065607,513320199,210975741,821220288,670197645,-1,285726243,154651403,-1,-1,-1,100887899,283260681,-1,-1,762095827,-1,-1,16973476,621009826,421113029,738452906,436102835,-1,947537056,464510337,8389246,-1,-1,427279778,890318180,709449988,929654019,572517360,80883613,-1,46018063,928811554,-1,-1,-1,150546403,612058754,838431181,593803062,-1,978752099,302744319,-1,25345487,324514584,359059611,750781102,531164858,542442274,549078707,695434740,-1,-1,514563254,-1,488083563,419119987,775938333,201054148,824836273,962080171,983883477,566557703,-1,353055103,548334357,533599599,307311491,359893413,158040757,912155466,264893969,478515567,979242700,512427523,-1,521312576,-1,133846713,-1,-1,620964594,-1,361401150,776150154,139698134,916133976,-1,938684038,-1,309395985,43980582,-1,653852079,350187848,-1,20218408,435478546,-1,942379844,187769272,249667670,122323859,298016715,-1,-1,-1,281701660,78131196,44591870,-1,-1,761404174,665540519,-1,-1,945753810,767259653,-1,-1,722162581,948547986,520546641,-1,632013523,-1,255373895,-1,54574699,670656292,576136988,434033665,413910415,-1,-1,178105170,250738973,171075892,-1,305104681,757552716,696892066,-1,229605311,-1,-1,790039752,909407621,-1,372254318,824632603,777719419,420876047,202674548,792016202,633738417,279398864,-1,800766941,-1,44659295,127158088,903301988,729600580,-1,908985533,361288825,-1,-1,220985279,962596574,302377659,460403718,450027394,-1,-1,911871734,-1,-1,-1,-1,756115135,655932446,-1,237764856,804041797,61792483,290572558,852229335,681535970,826344567,-1,-1,-1,60129489,30189816,556763933,36944146,-1,-1,134197236,-1,-1,888523719,-1,-1,628039776,591450220,380634126,308896722,438942502,-1,466779483,682471266,-1,844659925,-1,615549090,408617697,-1,316789741,-1,895561680,763312384,863941022,425801478,-1,439092229,-1,431346174,-1,-1,439179512,629588366,856322605,338068641,608873808,149855059,472752845,946436030,885111644,-1,158781633,296514608,725114025,503002092,-1,-1,510148105,140703048,157523276,303439487,-1,196691405,190531364,-1,78728852,356461032,64737298,774551983,-1,-1,612773669,456080244,-1,129885738,664810956,786256039,-1,729042622,141548825,247926474,-1,221137635,618862054,699381037,535161598,-1,491374268,-1,-1,-1,634901547,126825268,249304084,583276494,130294940,933438343,811948964,812098158,77751207,435885948,162068812,-1,-1,56082761,-1,312281353,586589531,-1,15868452,-1,266785729,61584003,78735327,-1,-1,-1,671078118,287590464,764647804,41969414,516456777,853750675,486844789,124065677,771583855,829191356,-1,279224346,560697613,403600025,2831622,103330583,693694868,-1,451334844,292721568,854918744,684865703,124237860,-1,563809290,132685821,186862071,-1,134013445,157076341,696014922,-1,887645508,892478266,-1,-1,691083857,-1,489938397,755659840,74713894,269400240,560974350,-1,-1,-1,109943398,-1,631893878,-1,420569556,568596918,329901018,252220819,893085793,449390766,340887948,-1,821719932,661321937,-1,312792156,928465674,646903956,760711274,671872015,-1,980678173,697256330,-1,-1,-1,-1,985738995,393250154,179552886,-1,480408820,74515608,-1,453933881,-1,564279977,-1,329272978,454004847,-1,-1,835335862,-1,-1,458783755,184062811,426163548,824135116,769926872,799668164,392875426,444372321,-1,-1,95965931,710760976,593809563,-1,-1,405549743,580911368,590089902,-1,-1,993352574,-1,560858265,925015026,-1,-1,-1,23123379,679382292,695343587,957891128,-1,691534676,652110360,347882094,-1,-1,-1,123204688,277776855,942896461,685715134,-1,370774588,858108351,-1,33057547,-1,526055172,-1,83289107,574983748,995760147,621624854,317866317,710226579,821170635,-1,-1,518638958,449416943,15135544,359826231,-1,915494124,-1,902805944,996132378,607538082,634839898,320432773,-1,573759965,919773735,-1,239108898,932884034,102146283,967434452,267663992,-1,658341486,-1,-1,843103039,102198827,-1,627824740,638146487,502994033,169754845,41822469,-1,-1,153021360,977678696,145951675,142221339,657918510,489599324,728472331,429209662,-1,114875211,-1,-1,175739842,-1,346408495,-1,-1,385500473,-1,952538423,-1,21487404,-1,-1,-1,179757602,-1,457161473,952801463,-1,-1,429591079,882993094,94753828,739269136,780815285,-1,223991356,161743126,-1,595504145,-1,-1,595918153,450628394,513597991,343876199,645669492,-1,202331995,900187224,-1,224693238,711528861,241222533,-1,148847923,624121230,889318861,702148011,653860447,476247132,251247125,879955847,-1,813295559,59774481,874255337,-1,443931318,1806465,470583912,-1,41423009,-1,-1,453366241,-1,417123427,-1,103565273,357220571,-1,-1,45764951,968878455,-1,67992655,215869634,68966060,470658471,-1,517074605,-1,14996217,806541878,-1,737827099,862681381,75893662,461491409,650394955,588866530,659269029,-1,59455949,-1,-1,-1,432946109,801780952,686985833,-1,-1,620254880,-1,-1,353460677,258515691,515690453,579309608,814110262,167077293,58360441,-1,-1,438243106,251654037,904717114,607562152,847297202,197619036,-1,5424954,800826150,883566211,-1,-1,-1,174153487,547882853,-1,904906727,464900695,362357529,756853807,634826190,890524234,395295361,738493271,-1,-1,93935179,-1,566945886,-1,652542580,538732944,709631617,805690401,638182673,990728466,265198668,-1,-1,126290843,118065155,200943927,706824133,439903112,-1,-1,-1,652483198,938067138,-1,278104108,-1,-1,488712569,-1,779722055,622088702,-1,987064924,-1,750095269,914486662,-1,494807726,-1,-1,-1,898821501,354440627,126363756,-1,703470007,993742121,85967389,-1,382170148,856234884,-1,792550796,-1,714904181,428240315,146035580,-1,951355042,542445149,810948981,-1,-1,946963426,-1,437722528,242615603,316867010,74502751,-1,794277288,882363213,387264487,-1,959868265,61745496,346653804,90807540,999745141,970564309,-1,570159805,270255107,879727189,136313101,474112343,399493681,-1,258530193,-1,750328903,960086105,844303304,388911584,766795036,-1,800029705,186898734,654666247,-1,228440087,341866390,36856650,772033761,57708380,-1,-1,149775728,-1,379799732,283270182,670535589,-1,-1,55752195,353503934,941018369,58323878,788355360,39348712,-1,791119232,372463471,643154777,-1,-1,-1,925122006,629613084,-1,731922781,340099955,142729295,-1,262073610,-1,182828961,-1,639791521,586800909,651799182,43908290,275140243,770697066,61870200,-1,799388458,622502935,17556678,-1,643059674,641249336,-1,516768269,10818368,968094976,241376103,515827211,796571551,273268828,154417647,316595854,-1,81207183,101591015,756392421,430952274,-1,-1,-1,693546188,16457240,24065581,550850810,-1,972250055,-1,349610015,395592889,-1,-1,318561226,150325054,787709538,640865904,-1,-1,43643410,3723111,707570996,-1,557861335,237987908,-1,910065893,210623287,730303511,689087912,752308987,854409092,434670538,714486196,-1,582188672,472845210,852234436,35533081,411511453,63012414,499028438,257269083,-1,-1,-1,241018695,799049232,691193026,760511030,827561707,-1,867477498,406258729,-1,720899618,301494290,962459812,294137282,511415806,65152990,839167038,310402037,63339594,-1,340670845,101974487,718605283,584596915,480400389,505970738,78327056,995802234,-1,408478413,-1,120161703,692187601,986665268,13145824,-1,-1,219828405,679975145,-1,248073442,976261928,577011333,737520882,323599537,-1,-1,180873941,-1,78478265,809165690,-1,622739190,801431834,-1,-1,224149524,199078793,-1,-1,-1,-1,662699605,593457984,-1,75529415,270770625,922756958,31627777,637241945,927480825,152709471,738154384,-1,459108239,884215748,951285613,325657947,395615657,-1,919411065,-1,-1,-1,-1,-1,-1,276662185,-1,-1,500494410,91345537,-1,-1,275116383,910737943,-1,739530242,-1,464665127,423447422,-1,-1,-1,859978327,470674249,833868702,-1,72325181,786485262,942970687,-1,342071587,669771025,959341353,631944873,-1,129596401,903372248,95370583,212940535,-1,775887530,568549034,697040821,992677882,196481494,525275870,-1,13854840,386471787,22761704,165290588,790185818,439824844,81326377,-1,853213766,584045694,600758888,879885325,611542801,232504196,407128397,-1,404566653,890245521,852795007,-1,486857268,305989491,-1,-1,221171850,499887172,131309956,13359717,962395199,732968030,448586028,772439436,921580906,65179225,678064273,-1,613317140,810476606,-1,24166904,-1,495904520,-1,659170228,498609226,792996431,-1,163667735,284801751,-1,-1,189586888,821733632,298786098,550814712,541861136,159466230,700499306,665478031,-1,-1,531956306,230344983,480955070,5744384,978679846,-1,687865540,401162813,601048827,-1,516016337,562499403,530326384,23067509,406885567,185610115,79125465,-1,227943171,-1,4492445,724886385,462289410,-1,541559333,452444197,48238701,-1,-1,-1,242862655,243214350,-1,372075339,333169990,226167377,223858022,-1,209298564,441879963,793810393,-1,301832661,-1,880251387,798422975,460199889,-1,471864731,102863930,943915665,882859199,929865478,676514669,-1,838515426,310306214,433072414,-1,259706068,898876352,21579354,-1,-1,254323828,270467380,-1,535006277,-1,-1,206999691,998081781,-1,278747084,310980537,682753010,143059285,478636243,137159761,527765624,236364954,-1,-1,-1,665347793,416488320,671493500,176220314,79472015,-1,673171256,-1,-1,-1,32487390,520556935,-1,39455928,134087760,-1,-1,120092611,982793738,139953974,-1,994189934,356795157,-1,-1,603273450,781266547,194460408,124004042,446639829,-1,-1,-1,-1,-1,795902771,-1,37425822,-1,-1,783704600,-1,286088305,275716570,497504939,335787473,-1,853956439,-1,802737154,-1,996193240,-1,-1,241089746,234737208,951362825,76901791,547300606,164184340,417425840,485607711,507507364,360257011,301138033,-1,-1,137632902,520590098,27669629,-1,-1,807463721,-1,-1,1067390,525767856,476831316,423742456,-1,-1,691762836,-1,623737238,-1,604502484,554184826,-1,-1,46515352,-1,32072949,830541507,56794644,497362008,174970550,-1,602368481,935239676,318775688,890671276,-1,324645778,904995729,895838853,409672161,107397965,624471040,183677659,-1,-1,43746041,87190995,-1,127464255,80573910,606914781,760034537,-1,795012265,173544296,-1,91641613,357700805,-1,431793600,320914396,551987217,218515513,-1,712334203,906022322,536275867,186468614,119140438,507572665,470419919,-1,-1,781852513,906179195,110522043,401006,519359939,-1,-1,564746743,-1,-1,-1,908210510,459976926,677974263,590659017,-1,-1,324483150,914685609,-1,298935210,810211887,-1,944033496,567000002,39491850,316189082,649886808,838452048,401384263,278850929,482821586,-1,711909498,576409890,-1,858258758,71788091,753605274,569232061,923776803,-1,571405964,-1,-1,691505594,860313079,734193542,-1,-1,-1,759669718,-1,537167869,-1,-1,-1,729639413,45681047,759514618,320543607,-1,732917377,-1,866201554,266221408,512311583,445054948,929823781,301888596,638542804,20420448,203528406,367046447,47947432,456699006,956900713,-1,498672279,210789737,454994169,-1,-1,234950589,17308889,-1,985529651,-1,-1,242266031,193019682,-1,226591804,248567537,480582467,107258008,-1,282869449,131028476,897903112,-1,-1,-1,332653469,-1,-1,486531852,643238893,21707750,-1,474038227,622712572,498724148,817755410,928523654,397354560,-1,905420351,885807497,617508995,636483849,-1,-1,-1,-1,-1,802196593,850096391,518353283,-1,26821678,583928984,104227583,731312342,829876565,-1,-1,560221305,650776376,155187740,850619780,585784985,324343299,374574377,-1,282296768,424511346,857041941,571454583,912339669,135953566,357199568,194020223,375067091,-1,-1,-1,88905238,266639344,840688597,498860228,996192386,876870530,-1,-1,798021892,6187366,550631960,388367611,693074616,202024263,766648497,-1,-1,-1,519644461,319192645,-1,470075883,306005667,287891130,700416247,-1,-1,103945850,203457654,578295610,213703051,891829226,-1,378902708,851042388,197611932,271400811,-1,298502142,-1,305722771,80748908,-1,720764490,133841564,745615629,-1,233796490,651150221,566622677,237519847,473740037,-1,648128532,-1,293314613,-1,-1,-1,492643924,368988686,259130960,507408476,767849481,688930691,193644470,875453621,667230243,695980919,-1,-1,-1,-1,866359738,359498502,460269194,812764357,982190773,-1,628252110,735176545,729042539,-1,644407505,677168990,797469843,-1,731751940,90373896,500801465,-1,-1,667618818,-1,616461353,235315548,709218106,-1,474761291,447440427,482561388,-1,-1,-1,162002172,784134060,420075634,-1,-1,8949181,911143887,-1,-1,443228431,591014426,522748694,706749666,144114763,730846217,-1,163745472,-1,956524628,575369735,-1,182093278,-1,-1,668126805,-1,358807122,541406394,210486743,434629852,637325429,773924007,315389117,-1,935903942,450608094,545996265,-1,398855662,699592694,199288984,-1,640866671,514982584,338697734,93976462,-1,-1,865785384,-1,-1,482336348,564904726,662770318,192521239,488205737,339014753,670590366,977416226,228527278,-1,232309325,211143497,78930563,-1,101355944,-1,171214050,410785130,318508173,-1,554696057,-1,619524730,412487410,-1,547849791,477283333,524585069,211471044,324761306,896723035,-1,535305134,15416866,147368747,839179430,394418959,284431337,265479049,659807761,28859747,675025714,189103031,968755481,659894124,-1,919670930,-1,-1,607547317,-1,-1,567199788,85310999,171189304,732914648,439046230,-1,308212566,564651803,673274807,-1,419409294,495054408,623895813,-1,904243327,-1,423721951,591218119,660551895,-1,371064431,29747839,309489408,768405889,748519940,496012698,-1,421448994,-1,64389247,-1,4561885,81390687,971259011,682609707,121836281,179973693,757535595,715649722,-1,912640130,330695309,354823830,-1,99337730,-1,322875745,-1,-1,187210245,604460869,513601035,223098239,632932386,836102997,484124369,138845501,-1,612661602,486421875,388555726,427298530,787356072,417675401,-1,36433474,52356991,758896334,845744482,662800149,-1,965637765,-1,136435998,-1,-1,730231768,635779267,871642602,847782757,-1,-1,246282404,97971371,940388661,942622474,441558971,97722185,252819621,671016597,924994401,-1,955004983,374721129,-1,57773764,22968383,-1,632121760,-1,348766895,764139215,233044131,-1,-1,211927691,303984487,478967793,42948921,243891871,-1,836067814,-1,746217359,361826505,111606782,509755788,106579722,219320931,802489534,-1,-1,50092938,698642293,11149280,155603092,719051646,942574602,148694622,-1,-1,187409411,208489465,-1,21183360,-1,-1,254452021,660065726,610215573,392943548,-1,538997963,236255502,-1,-1,538858443,-1,833131990,800217476,913721795,777905389,485482818,531826955,505438088,756567389,298127351,601926886,451093481,-1,484502011,344124503,403521227,-1,807858995,53345445,713122628,-1,759312095,-1,152583210,81272776,990540470,563324786,625400583,728566228,417748878,-1,342635547,470716496,148807487,426537418,-1,348430356,759148435,999829327,5129879,295572830,873390500,550246859,425029937,512828043,545922117,261701242,290444472,-1,688328142,-1,204722396,-1,-1,-1,340333486,-1,739983175,-1,744599670,387868417,-1,363945650,148074351,838721338,670831893,-1,56141303,17216983,625155622,-1,241889450,807614520,-1,319826308,39503270,-1,429453297,617910503,65570084,222363116,832896043,-1,-1,212215734,881820807,247548258,-1,-1,370729367,485756395,-1,39554057,-1,686351972,70310645,859226668,34007727,-1,706247293,-1,-1,108009957,795919435,-1,46867955,656358044,47683565,158528404,157900903,-1,-1,671273451,-1,-1,-1,129148836,409035546,-1,773257431,341144408,-1,969641711,-1,239894664,526589333,-1,-1,109456730,311324805,536835039,-1,-1,128152586,106003089,826959776,59580197,317883230,320299221,938740696,5513602,1903517,-1,662980445,-1,-1,-1,415777663,305076961,588865849,909114416,830202429,282417898,263422374,-1,-1,-1,505718840,-1,274442147,-1,332922501,-1,-1,111588990,-1,591445835,729089420,-1,705205302,855189983,83612539,-1,178499918,-1,494093339,-1,321196812,618625103,596785175,472830498,655320564,-1,704156382,659669464,-1,303969414,83569640,-1,-1,371912443,8328369,-1,-1,-1,731430688,505836896,87504383,265623703,-1,-1,-1,-1,-1,-1,387114611,298949260,992047452,341060095,68436589,966362093,-1,282583765,806975810,454103462,-1,272281204,466948617,453565691,650858851,969599362,690366284,-1,-1,270188814,563609688,305087177,-1,664210193,-1,883047143,-1,-1,851771518,207822119,195999252,384030007,-1,173377020,769308204,630278915,-1,-1,842885116,690633449,408200555,-1,481443286,726808054,433740523,-1,336178095,639685373,369390427,600930901,283498599,-1,168874248,844983047,18852769,67931136,655909269,-1,785633028,371267158,505157584,774629560,313411436,373175333,871290572,886955058,807246308,16858977,822163328,-1,-1,64499147,-1,-1,-1,894968056,-1,-1,-1,205767841,930223408,219418073,791706137,-1,-1,120617130,-1,473793533,-1,135517423,216530006,76979161,988931519,873937002,-1,738075275,37267146,389675983,-1,-1,384571639,641582190,707147419,-1,350783314,295425027,-1,-1,699253861,224693304,-1,389151154,-1,157591875,-1,516072743,120717240,-1,902212175,999662480,86459063,356431699,583054383,205080388,-1,-1,167047273,381579094,952745425,519618446,876487094,-1,-1,564061691,120708411,377073665,218760221,943012660,563456310,388826401,719031857,751886403,767498494,-1,851030288,58471842,448003245,-1,151773075,385233901,714837484,48109465,-1,670291065,105386983,-1,734738145,37925396,303353407,-1,-1,639488350,-1,534905652,487223523,555383830,596940127,52191530,429545212,-1,-1,217880990,942633716,555162430,-1,519997599,798486301,550344281,-1,-1,-1,-1,201873047,19272770,-1,477994092,175193066,-1,188641166,-1,490182585,347341729,-1,468981830,-1,991227653,-1,574265109,441048715,694121481,350727126,794217844,-1,270731119,314371850,123128783,-1,696937162,614554044,868986837,431623559,-1,-1,-1,-1,985132208,290524064,-1,-1,180611052,238027749,237312518,985629829,51350988,619406334,83057884,195416728,536892761,150544551,648864421,992453892,695573401,597110803,785431919,620682934,-1,407356677,-1,960073394,285907687,724858828,497624822,810711483,522330369,-1,853499834,980395178,546857203,734654796,169957734,930577358,-1,-1,700835034,-1,-1,-1,572281709,12114577,386188702,784782285,-1,284231694,471088310,-1,-1,-1,651087192,727967299,85709466,945369700,315852572,511331192,35468631,-1,17690178,526324780,496574736,206378071,-1,884550385,916279429,540584680,-1,649516805,974643263,250627704,373425137,397840838,627244491,258379686,132675996,226237021,-1,367631496,178861128,735331506,197631858,102114581,345043841,960872432,-1,592068436,607396352,168029059,152750327,538084267,-1,808277084,-1,534698971,741133623,31564835,43985803,-1,142147800,-1,-1,685854896,771425808,120411254,-1,291728337,-1,918682205,220777904,336393387,732890121,-1,-1,-1,314090091,229843112,322449552,458981967,520875391,551801844,860141908,36762477,172735484,785992840,-1,325347568,-1,-1,404650672,53632591,-1,723453163,-1,-1,369458208,241075081,-1,330655795,-1,977123676,314849427,-1,62447254,815841242,134503315,405116751,842167889,278617777,584019694,-1,-1,-1,202064903,303130847,268325520,354667247,439197507,-1,975573315,89229781,684091039,168100534,169503693,532423332,489667763,872809888,-1,709897721,145186901,253159925,827926370,-1,-1,811071446,-1,82523223,-1,351791320,246268144,307004630,256820502,-1,12622709,714410565,-1,-1,295263232,880591802,618349198,414536959,-1,-1,1702316,-1,435246257,-1,330217333,43694268,-1,-1,135164540,719439085,-1,567809082,317967368,626099379,968515090,724709638,389162381,600920886,470948962,333390964,-1,481719716,-1,-1,896736455,831926865,639352481,992732875,-1,829621699,-1,951188171,-1,628993103,-1,266294473,-1,-1,565797211,339360424,-1,623159343,365777815,83885086,157989791,-1,988512938,576922567,292485421,-1,-1,712236642,34283088,961358347,948402665,-1,-1,160671985,711721828,86653288,939037658,-1,-1,-1,-1,957438766,537174837,-1,585180953,294531062,628738587,805458126,-1,716061445,544242982,503905467,920471197,782247169,-1,-1,440759385,-1,289064574,998440482,886462396,323574546,55694486,640562348,-1,-1,963150990,136110905,636354153,88455334,-1,125653737,560710736,399257655,25900834,844507623,-1,3652555,593285212,126799909,-1,764009111,798380433,419701503,682864391,840166383,6181006,285504417,-1,332910391,-1,289806635,506461485,804492138,405436561,306012930,-1,324735874,-1,770149645,-1,-1,-1,83234946,-1,493707205,985059489,247763509,706765166,424656398,556532568,219166532,134279358,-1,115709762,635023067,22230137,156920636,815807669,240799369,-1,370819600,-1,27917347,626678195,-1,-1,996439910,-1,542022868,-1,-1,845810312,992865717,-1,746079386,699464250,-1,387225431,331718115,-1,184538101,701435530,572588301,485404520,737911319,579975760,799813818,977933409,-1,661499950,472636885,876714846,782313982,-1,96694576,269822573,407622107,490302807,875843090,454987983,537111289,244799038,87356474,844990037,-1,23933488,985442513,546726825,337665949,975818031,902270532,689480248,26657426,-1,748246331,123060077,-1,590718435,168189160,718435050,-1,474078972,-1,829361909,38455096,-1,121705474,560634552,56538853,285227583,838453085,-1,-1,945847257,63986741,-1,177028887,536698048,42169341,347250415,883817683,-1,-1,-1,784699839,51392798,971735857,-1,839803297,478541338,346430882,713215416,440800273,390120769,203049188,27966567,41689255,129335637,810218099,-1,290047259,-1,635871919,156536246,712999619,361964181,897665131,-1,461246597,-1,430796686,83945280,-1,999526263,47506996,138439779,31504357,422906762,233084651,883137237,882155204,894825730,934970665,873092790,825669922,568587365,-1,784397945,501842463,212079244,12216914,-1,222266896,154605146,421033446,456576905,-1,514207176,-1,850834779,666804778,300441209,-1,-1,-1,945116060,495546070,355438851,-1,693206609,848664564,872908214,-1,651250109,644954949,916783107,-1,210331275,556190593,996354628,-1,-1,437395776,233748382,-1,-1,876482933,-1,12495643,-1,244111066,993170964,642442697,320018697,159740220,199917307,-1,683599896,-1,898253202,-1,660461797,-1,304238264,495554466,-1,630227114,313453957,578137604,-1,600233578,-1,-1,-1,-1,583732988,448485814,789700006,36055532,275732888,589678110,-1,221668810,-1,-1,14609060,203670721,-1,622239583,826902021,-1,521236627,725146842,180856078,472406135,421960689,-1,104867585,-1,925125876,526342088,737659854,518353725,353623744,-1,-1,900114806,546679986,709071251,46902647,711251500,584258845,845418222,295896180,-1,635868098,719421028,952262608,-1,-1,-1,590312025,566485678,-1,366698879,-1,421464100,-1,828397931,820408198,-1,701009785,717767596,654789102,941539947,160572488,-1,992062477,835236792,487002208,143167209,713845928,672337122,326742639,-1,116564543,-1,-1,-1,37714591,-1,-1,409281050,-1,-1,718484775,841315542,63117149,-1,389918104,-1,341407215,428564786,954942762,-1,-1,412821238,542360834,-1,884991300,23126101,-1,628085974,-1,610244032,539531073,605695901,234382846,-1,471107284,128620033,255917261,523214767,875794784,571073668,864667762,27355833,337426910,278073951,397578890,255195294,446469646,338294262,702987945,388260008,-1,-1,983635777,986904858,-1,588393337,841084487,-1,579025520,-1,63067022,61316945,423144341,88049822,4174618,-1,180410266,-1,906895010,307015779,-1,479670836,-1,765384876,937712593,467811643,-1,13856184,723418985,-1,897650652,735211679,184728859,-1,-1,-1,941934829,643561737,-1,767582673,-1,101010764,473370167,935021649,11143725,997073179,-1,280451678,899567693,-1,-1,142455404,198974374,262630382,770337364,266890190,-1,-1,-1,-1,300775878,-1,-1,145076065,420560803,-1,-1,-1,783830528,872402217,-1,-1,596022030,406832314,9250330,28105521,87681165,642785009,520524526,-1,743010660,416148785,-1,323908259,-1,162415910,677745557,491322022,115090637,893376992,566874710,355005514,667361690,431085041,719613594,409043766,512598665,714612511,579976409,420010145,-1,291079142,-1,390360494,394429047,-1,-1,805085006,502722934,182027152,-1,-1,-1,412316393,308451695,986127385,925139191,744762193,110292152,-1,-1,850745151,565448688,99343592,-1,910005955,109924361,620107386,267113236,38700333,532108631,850234736,-1,225359365,-1,526766115,150818519,-1,-1,115044393,951944110,988008817,702323746,510205319,-1,948167110,876072933,-1,130949938,599887022,437614899,744315390,667301788,217495919,9527855,-1,-1,-1,465639262,-1,-1,-1,-1,809885916,700173188,-1,545915083,-1,-1,-1,488405773,26929401,27685395,220422866,529248703,743008340,-1,88365410,395741763,689281314,-1,653539249,-1,96160079,463593509,171743248,754664046,958501315,-1,499519021,821316344,422123322,693491161,395285300,175269505,754331184,-1,796018575,-1,43564843,169884603,-1,-1,283603076,-1,617407973,-1,-1,671636013,621064513,143654688,840028562,940043199,479119330,-1,587393903,300985895,-1,704932406,561120712,-1,-1,244279443,-1,93515340,625927164,-1,663970683,762932423,762701759,488014268,790691593,77342952,289241702,-1,-1,955953787,870155929,518076648,-1,414087806,679409111,346308082,923471530,716729349,-1,-1,779756280,81942804,244736161,991802168,168382303,508748879,943255861,944667305,996507534,-1,-1,528296086,-1,237631855,547849035,312317504,78889166,995792720,511425388,218366867,514389790,658338888,-1,74436130,439337031,497837333,-1,946339167,606377813,78782882,-1,470632054,355660928,289220673,46790815,891343157,-1,376050295,-1,-1,345205322,990689768,475282189,53927493,502712570,20071027,-1,307903444,795955178,929374431,-1,-1,-1,133762780,387962674,-1,97229870,204454886,-1,-1,-1,673878157,292109351,267223374,863920282,450060870,397600133,-1,55624628,145143715,595172931,88685331,-1,124217890,436534837,-1,939544141,538268010,703342296,529591095,411069369,-1,-1,6178979,-1,708197019,10893656,883882957,786754598,371307262,7380401,661000916,-1,701213401,-1,-1,810612544,549207147,78162252,106815910,-1,298389004,-1,-1,-1,106401392,902781848,315166787,991222534,265392067,934974267,585617556,-1,-1,-1,-1,238757288,-1,747963542,-1,902063827,484420335,475920693,-1,289764541,243897783,202315179,181741594,794619476,608298276,983527167,-1,884472891,-1,948290008,838608159,393986146,969298850,-1,314611844,-1,321649088,-1,678268538,-1,-1,223051961,-1,428356731,347513141,992527907,535535117,969100075,-1,572205968,273067567,-1,-1,841661358,993709094,771673834,104023702,484102469,1933901,371210595,102430204,145741676,-1,-1,830753889,136790907,269583748,285189870,560883602,-1,-1,-1,978286519,406617574,239652833,154704546,-1,18081287,288908459,626513076,569770730,715788854,470610688,347848917,864928354,295227539,27296018,166073137,-1,14034719,727141430,108967752,31319043,657420323,957818346,725252745,889456219,-1,-1,256655506,-1,562562233,-1,532401928,-1,-1,336636350,-1,-1,136331587,349324749,363547829,408122987,-1,343323981,-1,998686578,635630645,846874932,297146275,818819687,344070615,-1,468348750,258593015,752561588,-1,132866572,252147191,-1,365022270,-1,743042196,364653842,39823590,-1,215550820,-1,204499329,183561416,-1,657377035,-1,82930672,457221405,-1,-1,943500226,596292629,26740417,-1,-1,394961548,912989707,862582760,-1,169556065,-1,911875959,-1,598790906,583828777,-1,-1,131655144,586601032,-1,328071972,-1,372555040,-1,81937139,-1,203267951,40413592,405277523,-1,358741551,567113889,212054898,692441203,753092347,-1,-1,-1,186488925,46091079,358166433,720077539,680954536,886331742,-1,-1,432639457,661582224,-1,395292746,802452929,625980149,312368277,361375214,957912481,-1,5586301,897122750,288072432,760384339,673641495,573523525,498022064,316021345,996321362,624064695,320344507,588884249,564007549,522500771,71987404,33741205,153531120,-1,953748351,626678013,-1,176611006,-1,508777179,-1,772061047,68680132,92109810,993262010,916875312,494719569,949115453,27273213,945018581,399010174,896381610,618238827,702851428,242968893,-1,-1,190243431,-1,627804296,662718738,389050200,629989686,311020488,135766728,204234409,510562495,136249997,309903639,-1,-1,460151416,475574657,865030150,-1,-1,264248413,-1,454592115,675434628,737296281,-1,460984609,259367862,-1,30672680,707866378,351660616,459224043,-1,767577822,-1,-1,735068153,423400993,318142743,60460438,886069973,148191231,622743571,-1,301246055,-1,-1,894114188,958641739,396225161,299610254,305030208,403474438,302428544,441005203,537695120,763162587,581707246,196586806,944570137,574562708,12196311,442637738,-1,380740399,1814343,-1,503723494,853498617,997516329,214453452,860501648,-1,-1,497670774,-1,-1,460384159,395929370,695703391,849152849,-1,-1,-1,777998074,239922255,-1,-1,-1,59840651,734285717,561327435,-1,221783941,-1,-1,215595887,-1,497704721,-1,290261049,536512971,-1,629502806,169180081,303136176,737707679,819656879,584518591,-1,-1,-1,436476237,499642046,924952648,258087754,-1,221881724,541895340,-1,427630679,756322097,-1,-1,321476316,-1,54539636,-1,164193613,581228195,215130974,910736768,894285,178451150,869183368,34978230,295979553,-1,943455740,-1,82064975,896951311,301833247,264948589,889642242,958879420,562057293,-1,684999346,168113968,23785003,79996872,223265046,470292150,216899819,-1,510361426,949199017,-1,592406526,290538491,604381924,340217494,837734577,179720264,-1,85256776,430271842,881645523,114077804,219058797,648653349,447546915,541815673,395151407,907629113,47871049,775161110,570758713,342068878,258504714,632268928,-1,806095121,939410090,-1,-1,5816102,524354430,723921543,-1,336237683,97249924,634750325,104891963,-1,639088372,-1,-1,-1,-1,-1,982238538,-1,-1,878501660,467369857,706452466,955078641,-1,309840708,-1,623141544,905829582,582251176,804102793,466417076,-1,111620356,960428989,239051141,114592247,-1,-1,-1,678502272,-1,617935737,696813084,261206575,-1,212635694,656306980,995114600,792364134,292999181,333505313,-1,272574754,-1,375006815,-1,-1,650568914,323042731,-1,-1,169487416,-1,166023265,-1,595953310,-1,439711442,655910528,26823257,-1,495963819,999130374,698644880,576520903,-1,924356654,181159763,928067473,760942167,-1,442855580,279028616,60111345,834895691,-1,-1,-1,347798757,-1,-1,-1,721035971,792910480,822355897,987950404,-1,6165710,140883374,431302050,519534449,469744098,682957274,33448369,442861222,540073819,367091434,917114941,-1,620032834,-1,102952309,514983568,502700551,-1,984031477,700493578,-1,175593766,275504027,251893093,451606435,972185579,254629781,978820985,972429486,487082286,-1,-1,833202518,355334183,588249553,951076426,225715866,348981309,630234583,951799089,506954907,608998690,108111591,329453527,78386477,283288279,-1,332356645,-1,83563828,-1,930081978,789472554,822948373,-1,376710207,-1,850875734,-1,998619530,-1,609079028,386057494,678922720,108199480,646280394,400809743,724274265,197471255,992071843,824921887,33199603,318339061,-1,663975598,559678595,-1,641282194,-1,-1,167501613,432154190,57454869,-1,444116831,25159975,645605838,78322656,791539363,577503791,150706928,616953373,185170872,117906337,743474337,-1,-1,397695475,532592710,914197492,-1,-1,659334215,-1,987375117,236511695,972700498,294898141,581743081,-1,334232785,856191899,814803690,41139226,195993716,748187307,326269299,458190335,808236365,711976094,-1,218494375,-1,-1,-1,520185924,-1,247458037,696919641,646682539,773684711,613701219,436847541,936169970,-1,890634135,629205163,949538109,-1,596692878,49151294,429231591,698556509,-1,330178707,256168198,-1,363821003,285810492,-1,177388460,557441186,-1,577632559,824970994,195067790,681062051,814603322,668468819,335502836,908548218,59603985,464288460,847646694,411444320,-1,-1,320835876,779066089,-1,917984937,7744707,-1,787426397,-1,70471248,699040859,530771913,-1,409201388,393790675,-1,134104091,901042566,-1,739350444,402742901,149622946,433949852,90473125,-1,449738958,-1,862148775,-1,-1,817219661,258170562,916127584,797108172,-1,-1,492975434,-1,926046033,-1,-1,-1,131751636,334933950,-1,489721365,287879751,-1,480139281,-1,-1,198738230,556977764,264997092,-1,-1,958890672,-1,-1,207601958,216758512,-1,93572955,62573199,500093185,326043432,307829410,-1,-1,419389626,820520174,748528703,858157660,-1,762913512,847121264,916547097,605624291,881729383,190196105,-1,-1,756700947,225635079,549456023,-1,509938723,782679051,551115944,738661360,809466701,44138647,324752798,-1,32667334,221249485,-1,894665133,51017289,-1,323969237,683318226,651173376,217596527,64329973,791909477,664457824,468718121,890097280,843128072,636693851,-1,3784774,432832568,-1,-1,-1,-1,834066327,-1,-1,153668676,-1,-1,-1,594783480,-1,-1,-1,251517460,979375491,142801483,60465797,931329543,910211304,245487103,-1,-1,854659094,693500714,145749851,-1,-1,327314345,-1,213523634,806920351,-1,791534269,261650284,346540448,-1,891866940,-1,684477365,-1,-1,640736308,-1,146874095,-1,135657931,701509597,542816777,836325613,19240970,609039348,-1,-1,165804071,4630887,784996271,800072776,194964676,446384526,367709745,244115355,-1,186061319,264377893,-1,843662632,97098224,281554921,678303548,689723002,140244898,-1,-1,-1,803935018,-1,832635875,383902250,473225900,-1,969467627,135419542,319237419,223187136,-1,-1,46275788,263640384,796782339,-1,336898598,552741512,445387927,-1,190176960,-1,444182777,782093674,949234970,162295432,-1,897763601,431331527,355273950,335538572,742235076,-1,143078985,-1,240549583,637025358,458098505,-1,656650410,184037669,-1,-1,-1,-1,733786291,206150971,-1,-1,469519037,-1,136897008,-1,595758709,-1,-1,-1,679683618,-1,-1,-1,113881875,192208787,511209443,814177628,58907306,-1,8288123,425982320,-1,533731564,320894183,-1,517622037,651200240,658499628,-1,44963748,931414775,331376029,-1,405639425,-1,-1,308123931,150658894,-1,865950162,863055419,-1,34196769,866374690,184514401,901182191,984932400,-1,129398076,661709764,549072342,624471031,-1,-1,336261521,-1,459972961,-1,581891986,-1,-1,577536107,-1,-1,-1,-1,539311850,192918259,799807809,344273610,525992147,989921183,424891904,501589424,977753659,612518623,532764681,221211197,590640706,891406917,986557885,6018328,660527164,-1,856759322,226854958,519251425,147634420,696841200,313026153,261045193,-1,993767201,680755725,42278248,-1,143930080,719895985,614948787,679903812,776642547,60581228,-1,-1,140928361,636274501,244585072,451640114,903974197,-1,-1,392701100,594104035,-1,919171941,965013415,93031449,232249214,251921243,-1,-1,895380684,-1,912626836,213900860,-1,429330838,249460352,-1,207982692,167752260,12828235,643489323,-1,-1,360532914,333432475,555099918,530975824,440840610,-1,-1,655113924,-1,100340030,379373258,239719125,159360167,268139141,-1,-1,639374321,-1,-1,87850921,-1,508480536,-1,262216679,-1,862760016,544989570,393829741,-1,824707467,720300905,728910790,-1,421974532,443977999,-1,350878392,-1,694052989,-1,358841838,-1,331364394,884861581,-1,-1,608915540,-1,85797655,-1,136198920,-1,654141275,731636410,-1,603559668,405755338,605103419,604243475,-1,446159038,708370825,-1,293621877,989673590,884455792,623815118,75408133,690645214,-1,374902316,419220337,441204727,-1,-1,-1,896132056,-1,609600011,-1,-1,459306406,288338207,972735981,985794975,628055421,-1,249328037,-1,878397406,34810146,-1,772868338,59531783,348533820,890038252,-1,135925459,778896529,776366925,700703571,285090588,-1,282286357,-1,815915019,360478086,-1,-1,104947405,919632904,350679729,849949607,404539202,-1,364172224,-1,572722558,25739583,473072163,876202018,-1,-1,217976267,185363060,138657687,-1,749443576,612037399,851422240,559608419,347653699,935643601,-1,810648625,221009201,35827827,268540361,416206306,-1,-1,92621432,-1,752887146,172486428,872240185,369169540,-1,498891646,635076345,389975835,-1,135687278,638145909,107993131,854397807,-1,-1,-1,343415857,612225105,-1,213333747,-1,79005699,-1,269586028,-1,88773291,-1,512641346,322120248,-1,247272251,170891811,588968701,-1,151310026,520376652,949603033,397943007,622292501,588554228,-1,376828543,302303833,798852353,290951089,-1,-1,990144116,264344645,692582071,139065739,694149269,964591026,-1,747075174,191934590,-1,144344228,-1,498956878,359489560,698538207,-1,434678714,-1,706431034,-1,12701173,996476850,337714354,264944398,-1,371639229,-1,-1,-1,-1,-1,451550995,428696548,849525444,337278773,831586114,384044292,-1,310777120,-1,613107161,452253026,904803575,786794177,46213545,-1,539856060,627873733,-1,-1,-1,607754374,127189659,-1,739467540,418179708,924884452,649043133,107977120,514226746,674171446,51044512,327800164,-1,-1,-1,629293250,-1,642788422,-1,-1,-1,770747291,840571676,-1,912259832,326220664,-1,929893530,319300818,-1,822087830,-1,755375909,70136814,-1,378516684,-1,395990389,-1,-1,30890876,-1,883017695,699797105,-1,137408816,241012191,951800572,460914813,65299769,944413555,19838212,658827120,-1,34868912,669734327,30893601,602042515,-1,590836131,185487208,569048931,902684906,748761168,608716484,302676260,536856025,-1,-1,512264080,169819749,-1,241802497,156103721,-1,403906426,-1,550514901,-1,-1,-1,962738993,716433594,646663503,498282736,343207634,-1,180887045,626545771,-1,-1,-1,-1,42987797,590157827,518630775,-1,407439593,599761113,337165275,181981127,132622966,23055502,364735308,391195277,-1,713009469,-1,866932265,423421716,375674729,-1,421730021,972465641,485544312,-1,-1,239006946,510058768,692258294,-1,380119334,824842945,993641120,-1,718455540,138777568,300254031,-1,840274539,-1,979006933,-1,-1,782247136,-1,-1,-1,589863178,554025992,-1,757424879,-1,424794302,-1,521034866,670134237,805061728,93098332,893324935,439706861,420588286,414882582,-1,378652068,443683037,396643472,825419839,692736897,983135280,368627024,941592584,489881373,387322179,549522272,474307702,-1,840008685,645183487,368098175,109523381,608873454,-1,802805048,780962828,699039325,172220477,149281172,107526715,874437754,-1,-1,939952880,696760180,953156363,221819442,537054426,658450651,6831614,977089770,989943224,312006564,-1,495517633,801436000,886869107,-1,-1,-1,-1,-1,-1,-1,-1,620197547,-1,-1,-1,-1,-1,-1,592222857,574575731,3284593,-1,404695872,-1,115552961,229598475,939504387,50700543,-1,-1,-1,457571670,321651363,301922612,342446637,36956763,815564764,-1,585316560,476914125,-1,-1,-1,534629711,331649936,869963545,652276762,969357027,847088547,778192354,-1,892821815,915195297,505291380,-1,575938765,869926223,114629631,804614821,668139126,-1,929496112,554890686,-1,428645584,855214939,176921449,929864217,168538480,277063359,-1,389299077,-1,103227551,515043822,929246348,563667302,908193014,57970044,-1,174791279,106018809,580948972,86212678,62876802,239995633,169112981,49304621,-1,334779041,-1,-1,896121417,44646183,259607909,-1,881383810,424408660,90310265,3033787,442573284,648465240,-1,-1,300212596,752104564,634549327,-1,597175460,352494002,148407433,825819183,791852024,455035626,556627933,749201071,-1,637488794,997404854,728889624,117466094,-1,-1,-1,101648366,478878907,-1,621228231,-1,962438224,871811200,635926121,-1,-1,742045373,845711778,-1,345889490,-1,983540873,-1,902894816,162580695,579678040,-1,674261711,-1,112676416,-1,-1,814354021,-1,-1,983066543,68762743,441458282,919467331,931442540,-1,-1,709872673,492062070,856581379,582268758,187837329,183924924,118474705,36574303,472551217,810660319,397807078,-1,607454929,784984013,58762271,-1,15343953,217018502,-1,954270666,379420440,401993830,-1,361238534,427633437,794228545,-1,734219497,250709031,232311190,296930928,278729247,957675437,-1,-1,42312966,560544096,788981268,441489689,-1,787973548,-1,-1,659975407,625028179,-1,-1,-1,-1,-1,-1,459236417,490088340,940654716,892807425,166683546,519903355,432100438,573284927,819174478,423284776,735072253,907224619,114282915,682311210,96461972,520130853,-1,-1,373638471,344032820,-1,763817041,917107731,84151886,-1,-1,680031276,-1,-1,20857082,482267888,711576417,257764137,684733877,980892655,53310272,346296370,769572891,330997823,-1,307134485,192613857,-1,-1,-1,200587101,481575793,-1,-1,414204882,-1,-1,540931208,857786746,455175013,409935164,629036215,675681419,652542981,318350275,410334345,-1,669466002,182090008,-1,-1,623182773,154953270,274790999,-1,803980634,-1,181909190,128746609,128605603,938927198,785620437,-1,-1,325266920,854617395,-1,-1,939411821,71990063,-1,871741153,-1,445188453,680679479,821294087,-1,-1,951086854,648655303,707259515,-1,992895110,824390159,744686593,22683527,939867453,-1,768603015,400077525,443918214,204575361,-1,636856676,359601199,-1,722522035,167463547,-1,385411000,-1,-1,596935189,481909526,-1,-1,823532529,817192510,790178595,255133633,-1,677599657,31984214,-1,263346746,503944181,221830230,955021936,541032691,-1,591253666,699391364,-1,908529191,-1,658077424,-1,-1,362836714,479191536,-1,968122729,23459474,812252560,38849303,748926731,-1,891425578,947546264,-1,755616538,503486110,932188957,311352601,287991720,562932333,364440491,-1,206864796,-1,-1,139706794,766519298,-1,346759985,-1,267960147,16791594,603881913,-1,695615839,515363481,640116634,394376819,-1,56165632,808582627,612071451,393458755,175417829,-1,-1,631289171,-1,359606964,155480702,414937638,767816474,882528039,-1,-1,115206495,-1,705347816,-1,339120507,983386370,477516889,639634442,665967011,986767360,538272825,642431980,558483807,483368516,645884996,998959926,95775503,768033185,976953089,626087891,868747452,891035255,792154866,531089908,866580421,511535982,-1,648109788,-1,355929506,-1,-1,-1,747661126,-1,-1,850423914,754517455,819962100,427576473,-1,695359455,377099516,916979004,793905169,-1,392590757,350098465,417875000,747159110,756629661,166100541,966863500,384030210,-1,182166175,829121257,501546014,477900468,131149860,150047897,662936426,378077332,82301992,-1,483943830,-1,681044398,-1,909548551,355890372,156991338,-1,975610547,286925091,206474534,306587732,-1,949441414,380745675,371849902,258957733,803325640,817479587,286377672,193240019,111583199,-1,254701155,410120149,16168484,356209851,597859807,441550162,-1,229125617,900599391,-1,303502436,218306617,-1,45784958,-1,914308876,916535530,20752342,-1,87712562,-1,952895892,-1,846395105,551447196,394348470,23868736,-1,-1,406597501,995767873,-1,292167334,981507820,345087007,821283391,104939061,51674915,-1,857156371,-1,862524498,-1,-1,379139624,129980012,-1,313925687,24511827,378260345,-1,633755457,-1,940226952,921915022,-1,346164839,900452036,909073456,-1,-1,620044819,-1,-1,-1,869879064,-1,276425438,623978994,-1,616814760,-1,636933739,-1,168690020,55559463,-1,534340592,92198369,985026028,537025483,649390316,-1,25792847,6119332,372009862,61637113,451876777,-1,409955083,781500314,541798260,-1,457547133,414976862,-1,894275259,862855721,62642510,838462569,-1,75254804,653872775,-1,792313514,914033323,-1,4367604,-1,-1,768198417,324499043,-1,-1,-1,-1,591227494,-1,101353835,204553677,603911622,341348874,662727046,778543825,185440768,549868244,-1,517384856,456859419,83516884,867450400,421843557,979553780,-1,220610257,361656446,181504155,126878714,218455880,616734880,241127356,233724851,632898031,10725253,721720898,686998286,926701566,-1,866878864,-1,236351282,-1,947315073,295682909,663931326,532880346,777703716,535955468,221723851,113372724,-1,307426497,856518122,501309931,-1,-1,-1,-1,377522159,-1,-1,756907355,567576826,-1,-1,951443832,505828840,448754370,369898649,841959827,537949315,741479554,-1,-1,532297806,373152647,190776758,260422366,-1,-1,271682137,-1,440661526,288457188,846326116,765289068,148592429,648594865,253137220,354300399,-1,853616216,755299424,168756343,72939223,802928205,640847831,765605634,221116514,501990929,-1,-1,722973550,237436929,-1,-1,-1,-1,-1,949316333,-1,-1,-1,259325506,626507211,723674672,799615440,808840855,-1,982139571,756613961,-1,997572825,553870289,402840644,718593723,-1,-1,-1,42161242,237383807,223401643,66181093,848119149,284650396,903755748,185224008,933555167,791991799,9033358,964873845,-1,186643774,-1,654137611,115233400,-1,753773721,315770786,838013407,760165807,877212307,-1,534181255,924688923,-1,175172116,25139454,-1,-1,-1,219661574,-1,860603742,157340224,-1,790313994,-1,-1,628788137,311629760,765824127,669055691,341939934,-1,386496230,-1,-1,-1,762807643,407999807,-1,-1,-1,358092921,985495388,-1,809990941,907222152,746333807,-1,775461237,-1,787486116,125064930,878849498,443302543,-1,15677815,935167807,477567074,733388869,-1,-1,-1,487682315,773549886,-1,734977819,993890271,463526964,-1,837115411,15502652,572837168,57007042,-1,-1,807660622,765290508,323359729,-1,487674924,825832791,976120116,647661232,-1,660416895,904925394,740455719,18157888,268190222,207130659,577777881,944246136,422511500,733461256,-1,585827108,-1,486177521,815459704,134830506,260895523,538611928,259705209,663078592,791177381,758646521,674488468,774781600,11475748,-1,336017748,-1,758664508,861901209,931873315,-1,819307536,825083932,437772143,464134609,161218439,901829874,433342730,829294758,-1,357329801,551518755,-1,-1,159809090,-1,173748678,-1,-1,423182227,511520084,602887309,448347899,267050654,313725171,979584574,-1,701012201,-1,418987514,351339703,985211225,923550454,55500062,754109942,85130974,379740044,4734750,-1,816066034,645967865,844913062,479284879,78203787,821274251,593387198,-1,743560706,557822139,66308680,774840185,354418944,502725378,-1,221058921,905012857,481255033,305202740,-1,116160616,420973097,679234150,675020152,-1,476776776,55153679,-1,769171090,-1,3314080,-1,-1,362275196,-1,935313659,368650407,-1,175460995,201134861,-1,734870814,98260791,-1,-1,821096425,143685909,-1,68373458,770481928,6503743,-1,-1,750372025,294897578,229335457,782858055,-1,-1,678540753,97464939,97983835,140363275,-1,752255339,388951422,477178443,992328106,-1,-1,400401320,927266201,-1,495507929,638118906,-1,41635116,41971403,300916143,663294846,-1,-1,358999617,-1,-1,886669065,832412484,18481974,10112801,809872178,844084302,-1,744421572,174874028,991546898,60206185,404553212,475681207,137286566,-1,-1,-1,160239039,205744613,-1,-1,-1,740287596,-1,595745235,238579843,91758533,71247983,650220629,910508407,828350715,-1,-1,693379916,265908522,664558598,-1,509068668,998140612,441240277,133524503,-1,373911875,-1,695340619,126460962,31182349,-1,-1,843169117,388390521,62377515,-1,841146454,209533300,94403604,536396090,115331175,-1,778195425,848904597,144504223,284812400,236318173,926060812,406207156,178859788,643048877,605526984,549316195,699462881,549185162,4444961,799229650,750319690,-1,583044283,669348681,886353543,607786364,451823499,946068857,703068001,399406379,577559342,935702968,270086885,-1,222034999,959481574,883978773,649781157,-1,971049690,-1,197214143,715664241,961785885,-1,774551630,291813520,915898330,47647696,737485017,217245550,-1,886416719,753118249,929094460,651867742,460055544,14401172,-1,-1,106546008,324444427,758989116,608269392,781095195,452546118,518235825,99467719,-1,542972434,747369442,-1,560572962,717271262,135248473,689498785,-1,-1,851995131,156569670,263915128,-1,150824986,19403504,526522690,298776130,480964392,437526081,843061012,15061251,-1,694484224,-1,357529780,127219991,29672870,921252682,487827486,-1,-1,-1,849509341,981541141,681060577,597591523,-1,-1,-1,601741258,841876368,214231669,-1,837932973,-1,-1,941525470,222607652,-1,831769012,-1,56518829,629840499,411987963,458340781,620846627,204931581,312368725,-1,-1,663470647,355548923,551907290,385785272,-1,356956357,862466446,875112916,822467182,323630872,622988396,660433894,-1,147707086,573740482,-1,932896200,475775725,-1,606023832,752099719,-1,244752260,95107579,-1,506309166,-1,844507081,-1,419615176,122419181,406139018,-1,36639017,-1,-1,819972098,137974211,4114585,800542050,834318276,-1,388990541,370220522,467123228,379881087,846347318,771386872,496396837,188004037,-1,865586740,-1,538005381,378834111,-1,973750545,429422654,921967423,425555312,531643898,585173681,-1,563616336,14014161,560859260,-1,451799843,203781073,-1,742624605,973200093,827127654,70213033,778012201,-1,964440048,398041993,-1,-1,489420709,985643799,-1,-1,-1,866328405,222136206,-1,726095911,-1,970107097,456250904,-1,954191691,458674117,462143302,-1,494228654,549129252,338012888,92143101,374677620,957695971,412644427,838765257,435722383,779536286,828058630,705354550,534472039,849141146,80556938,625298304,607600315,896128909,243038959,879284877,158752580,-1,-1,-1,269973312,585381215,1673561,-1,250708345,420200681,579807411,575231616,346032506,494886836,892143758,110786885,87043840,804727020,455700185,-1,526065019,-1,762629304,-1,433344643,569566283,-1,390413287,-1,178807802,-1,-1,-1,620567969,-1,-1,89875956,-1,570346845,257153870,-1,-1,-1,315729391,595203938,415960258,95708785,-1,563411679,-1,386101769,374095620,604460204,411298207,367578574,-1,460647920,289466374,229350011,528843678,189844988,134007954,-1,-1,412336582,-1,353954437,809496025,-1,166045011,219838342,27212599,-1,-1,-1,235824640,367320039,-1,-1,14912384,766950619,300990589,974879436,379558591,580590674,752059851,983913683,-1,175087152,725750027,482730151,909057072,211635086,985448182,-1,577399309,-1,247961306,456519011,863554861,-1,544032037,-1,-1,827237564,-1,73045966,730593415,602333600,786614622,544445567,-1,752388975,226078469,-1,627490134,-1,-1,-1,-1,132979221,573126843,163625426,-1,668637199,840847529,-1,-1,-1,440148597,589716292,294922978,-1,860657483,117061541,697148616,238036356,718706750,-1,957830162,-1,484892120,-1,640735391,-1,436506637,752564497,-1,838239563,-1,947231837,480813013,899139042,-1,447686924,530186290,857272764,-1,-1,596341857,194302295,339972122,-1,14768524,-1,18216579,683223289,-1,-1,465737633,897428197,17000748,126131465,592385423,855105249,402069123,768050880,423208183,659550050,450368497,-1,563310885,907198993,670710082,-1,954087414,152758359,789879813,-1,347525610,-1,-1,-1,712095857,-1,650734398,-1,818508603,639234712,495481620,185386348,-1,143558783,3574298,-1,-1,724986720,-1,-1,703687126,984713350,323511125,887915422,-1,479547152,162480509,-1,34470544,392291144,-1,-1,452709524,55654880,66536601,-1,85231456,501145322,53983337,983548270,481033208,930396254,-1,309858915,-1,508939699,14412846,437781370,-1,469599458,-1,567983832,-1,750829934,-1,67017731,-1,256279643,515045623,482803133,-1,-1,-1,-1,887964353,661652252,962071447,359884735,575893203,-1,355939392,858699854,263574520,986932835,-1,706012548,472489921,347362627,488441181,341797546,-1,451552573,938482017,137883953,-1,469780251,854161613,670265069,-1,340133672,-1,954364194,733655746,416634811,826944858,791105188,21294448,-1,-1,902175811,-1,818968798,747579135,760820188,-1,829573938,347725833,850623298,808841648,650567482,-1,748822848,303550403,27355703,155226640,189408915,-1,-1,202083378,645095494,341401917,986764672,222815872,-1,670514776,-1,-1,707038791,806202784,728958647,82369908,586033335,-1,416091118,214832145,-1,914117716,27080040,-1,472368618,493358177,517497847,999693666,-1,602154228,575997462,563682249,-1,197197367,240758691,-1,813540066,475333951,793167136,8625224,-1,619247919,541895124,944062261,178099501,109603930,115596047,471032521,636138644,-1,230079430,474487687,61671737,533237894,229229205,-1,446217425,-1,344261650,457748086,-1,36194358,540939225,-1,355321588,262196120,-1,595509360,119116623,183640875,714829013,-1,789973730,899162565,457660295,-1,656946733,-1,586890016,90546254,-1,629267255,893305800,788407241,202126020,213798183,22536150,452576651,650646769,-1,651809936,-1,544513147,-1,791110512,734078334,376002130,-1,921013123,-1,-1,275859547,200149733,47021341,-1,225361036,601492831,615873802,116423305,493966200,-1,-1,-1,816830311,557935232,-1,460966049,-1,555669911,529090211,-1,764271350,966748589,-1,403373495,417789711,102796397,349329946,442646306,-1,-1,-1,538331139,-1,342704587,30847118,689385004,478235262,932318868,589066698,228453906,497244389,668009683,438089035,-1,921712967,-1,-1,-1,907016014,-1,199766019,149778234,403575434,214878763,-1,-1,924997416,-1,343948762,-1,55501255,26807542,-1,-1,583137565,-1,-1,510856124,783869604,520132473,591199186,-1,271297865,313768486,796317158,242011745,294415218,-1,83587651,254564888,915191284,24118936,854717565,186520862,-1,996071598,518156984,407128347,-1,-1,-1,725584937,-1,547756950,645466398,736521298,-1,-1,-1,82982967,966771953,162996801,765943135,523584147,-1,-1,980841026,30716067,335245214,790481611,-1,114124227,-1,840037741,826913275,87368029,-1,211304785,-1,136195547,631461924,656643932,130150401,327831428,995642195,551787795,191418879,-1,921397730,-1,533350729,241547207,620784464,972898079,67245111,334426176,-1,-1,-1,649184924,935551016,962980644,177442603,-1,-1,407319602,741355875,105195971,777107647,717303919,259476448,197798859,-1,783446129,-1,847491528,985287206,-1,-1,263602065,392816321,-1,3185789,212373230,24362903,-1,548207091,891172617,25218495,70484855,-1,427863266,629650876,-1,174732539,-1,399373216,-1,576688204,744710791,-1,144977274,190180328,290095304,343384059,-1,220984534,-1,-1,659102384,252278482,985889287,881415248,-1,96890403,-1,496042012,-1,-1,251519956,353598675,-1,104982739,-1,453631522,659138486,913514366,78801985,-1,-1,-1,915142404,277760322,695280824,574238789,102220724,760769534,182002150,282462400,465838572,-1,657783753,403784776,-1,680185743,739249179,587965134,845015345,386728099,29546114,-1,-1,337128428,363499153,-1,805165718,893209916,-1,-1,-1,426383950,544882967,450579918,232568932,-1,816773193,953586020,715065808,668244370,225824965,716744238,591775896,-1,845822378,-1,-1,100735669,939116202,845916045,-1,104848984,1563913,-1,350965205,-1,352094932,-1,765775909,31692746,-1,-1,614318436,616798935,366658150,605788553,-1,357904045,711136038,869908193,343511300,-1,24308717,923480577,-1,909773401,440063100,675895850,296671214,824583636,174013308,175617192,-1,368237996,656208382,-1,24232200,351364486,970353143,541850155,363949610,-1,673627392,826061969,251935511,182641037,-1,47692180,425703488,252638370,981212142,688296654,-1,64894112,107373806,764244564,445289448,-1,856409236,471211118,429494234,629015503,-1,-1,327145798,485468859,905205649,833990790,-1,434216401,673878371,-1,-1,903990193,649554507,-1,245023522,250218900,17870237,-1,-1,902220942,131961401,-1,-1,44178254,667379413,371433236,105838922,417289941,939382413,75237497,-1,-1,-1,86450744,436441343,898702357,111925585,663691954,348135056,-1,718369625,29142293,-1,-1,873146400,-1,902398711,-1,995600,599131027,-1,-1,511685279,-1,645421797,677583856,274491774,-1,233780795,715805445,194440543,-1,-1,493580774,-1,-1,-1,670172298,386306513,951482291,927537332,488852229,307744780,45536974,-1,227895133,-1,799275274,-1,-1,943873959,-1,-1,588598222,63757996,-1,-1,522659812,625047997,87703560,-1,67127169,824803047,746908993,927904622,612317587,761043778,878539815,-1,502427943,-1,296917565,-1,829219785,-1,682098670,330625728,-1,808316222,997406047,-1,-1,849113132,308067867,774425737,863252387,657064559,395037037,172189088,666808297,491104691,-1,386453198,249958922,910470095,353387724,362685450,547906501,-1,885927886,20454949,86382917,576597935,167311011,-1,804958588,-1,220543675,385136503,-1,-1,617969920,648793727,989456939,-1,712898307,636885535,202008777,-1,586963634,284283332,389625229,595886534,-1,767915258,-1,468075617,221618976,-1,702813882,582048296,596884203,-1,-1,-1,603742495,-1,-1,943339609,346570636,727090841,-1,-1,-1,849501174,454041977,680448825,602787143,521766136,-1,13763202,246205395,676405052,446756762,-1,493477374,484917177,630829759,653718833,314527245,101418542,842372163,-1,817169586,566978928,-1,632366241,-1,-1,404831141,90214116,-1,-1,654568569,83448258,-1,195310502,632115125,771920574,-1,946979018,451355773,-1,779026233,-1,241192092,921449935,-1,676938550,347078490,319097508,826946966,814517329,-1,512161021,53014825,129743407,-1,531431764,676200053,-1,415963280,-1,737392656,485246021,285691194,-1,659314063,628687685,384575761,-1,-1,302752958,-1,-1,802643823,-1,174655187,300680223,618006886,-1,813333291,-1,-1,798733009,-1,-1,-1,619252244,406404890,447180909,157287266,245304313,418956027,656138630,-1,326978502,-1,116993781,-1,994666136,952377590,602900417,-1,852419456,-1,332157245,631372502,92660304,664203466,-1,-1,-1,889274220,-1,-1,326982244,732621001,662160578,43185254,198844699,607950748,47950152,-1,628189685,535483011,931489031,189488817,135256539,775193598,-1,-1,-1,78783675,125075831,-1,524579652,-1,513177282,-1,-1,677153653,348836916,856472767,489500923,251522520,896706273,-1,-1,16116557,542179931,424222001,293115672,-1,41309762,-1,-1,412907213,163202809,-1,-1,96138200,582880467,830612725,-1,811597614,437172604,38145465,-1,192916107,-1,915063731,79199943,365014997,801097203,670767549,659296926,125694557,-1,258070882,-1,267273117,289079885,769538650,-1,57270459,399725835,687065748,594568438,70623290,271364394,813801577,612050431,-1,97870849,870484971,545944530,893138491,-1,-1,746715736,928711910,103800923,782214787,282764352,247059838,-1,934909515,161388463,172442899,-1,518743372,-1,775547709,573448552,915722987,270157939,679993994,-1,580743399,425718055,-1,-1,421140689,-1,252650051,-1,709184197,95133434,826872815,623825588,188566728,818911075,684831147,-1,-1,524030594,119945583,524444048,-1,-1,582546442,-1,-1,901116591,787626195,648066437,-1,-1,617074557,471049067,285580114,-1,954818363,704676502,56127195,817018855,-1,920952705,-1,52543105,360800864,963537937,-1,255078303,720053817,630393318,3654052,86938727,111841515,533601057,945079016,518642421,879787118,220713432,987303846,188660409,943462758,-1,-1,3539386,-1,486523674,239604778,-1,83445197,598101608,-1,337021511,671308546,-1,731493019,-1,327450846,209103936,-1,-1,840116561,925727925,322643268,-1,139212154,973068961,903530308,816958616,940703262,512844620,-1,782211284,567544389,-1,-1,371379109,-1,-1,759765055,608542745,375176095,743095477,335644395,890059061,-1,495049998,-1,715646746,750628165,-1,569008085,-1,729438558,374211001,138999691,806253050,-1,939140765,-1,-1,-1,-1,372861253,58781372,125866428,909041002,754168104,770603193,783070867,399195817,681650165,-1,479129155,848152452,-1,691500317,327426741,-1,948784717,422361804,825143318,-1,-1,920208055,164112740,104528347,-1,662452859,36549470,-1,324148747,373968431,269609041,-1,-1,318612036,818774196,207644623,345036179,-1,793476665,155124718,-1,-1,-1,128151099,712126586,997887157,-1,742176319,-1,510375890,118032555,890172314,-1,566369785,144040062,932865685,580553297,969783662,653540685,43701717,-1,324088016,-1,950279029,-1,802822448,20689898,-1,766911232,24750895,121851307,610464183,-1,564728309,597338075,341143964,239230611,-1,-1,-1,481615216,77639683,361051306,806156777,23910822,17464693,-1,-1,625747906,499641865,430420862,-1,-1,620546332,-1,815007087,929110348,-1,-1,987045958,186294322,-1,66417087,474668975,455789052,-1,-1,-1,-1,-1,529772738,818638028,401998995,846772775,700144308,-1,687852458,158021177,113404508,235352635,168343360,108805829,978699967,787971577,191076548,998990718,967965293,930430733,830416776,842725624,855724688,961667844,257742420,-1,-1,664903825,310477825,-1,-1,177676186,-1,351435896,-1,-1,680010617,7297179,910503562,253866132,833347195,971440721,256461759,626165091,218989891,714973216,576187260,-1,10563856,428901292,80027054,-1,677470697,-1,606183823,78189169,494516786,-1,-1,860538724,-1,745858581,480282527,-1,534726140,320145072,841646402,-1,89499086,-1,972901746,890639771,117795975,-1,-1,656806069,744731199,-1,836310874,906543813,-1,358787751,-1,681627771,-1,-1,-1,-1,883426604,197964568,622977290,455569997,672683504,5163578,-1,979006572,503672458,146053560,131868943,-1,533473004,291106856,467551812,274122214,933273328,307109762,494256841,629914824,560075242,988136233,221032052,-1,253465719,259676287,811959954,786069138,809095989,368000630,883020945,515398312,-1,772848902,668070017,-1,-1,793307587,-1,449730751,-1,910239021,-1,841549401,819359407,963377040,135199900,623578807,372832279,78231197,734312327,66396817,986344664,694016160,94122481,766486747,-1,262369167,818649748,716497816,892072910,30062924,-1,124066230,786115813,489248833,-1,-1,291281958,131361395,111833385,349738729,968708604,107454349,-1,173019557,857748302,-1,-1,-1,-1,28575494,838522651,733327311,48697533,833703877,915372528,154958996,786233380,657695841,969481841,324812243,182258321,464460377,293033909,198189953,688813214,176264904,242409201,62261667,-1,171028571,751275166,638672257,-1,-1,492024891,984737632,155020223,131173393,-1,916943078,132347032,-1,-1,328030673,-1,414028350,331579644,-1,232830685,-1,-1,621211688,123456173,390740381,988595206,73861567,962244241,-1,462958246,492705613,275073674,-1,381223075,502060207,471450517,736147445,446819846,960289868,570586699,-1,-1,712417966,-1,354606090,-1,-1,354651307,473302468,422093604,635719828,-1,62916041,284181378,304647195,-1,787946306,881792763,-1,118140588,598227938,70363564,95500661,-1,742175352,287652985,709043091,-1,289940308,429612602,115372445,868903752,941701418,341594657,926845463,-1,-1,916830706,-1,513665769,429557607,105900199,458447278,598977474,144552663,922992907,79461863,931840239,-1,-1,904161891,546401713,339495689,279735428,631672302,473602988,945528355,984077885,-1,587486059,556005517,755876738,281026827,892714720,83159274,674990795,678975388,652838505,867412627,808387722,910502812,870022298,24095279,-1,319020221,343617686,370926237,-1,33871877,-1,394039506,325908185,335379436,41252788,-1,935209621,-1,-1,866956598,-1,-1,899568374,783688001,-1,17263379,926506460,-1,662070162,763655795,660257331,514042906,833271074,-1,763991350,-1,-1,891578111,-1,-1,336537814,-1,-1,-1,478256910,-1,-1,396742130,70878139,-1,843594949,611589035,695427181,9159408,-1,916425407,273682342,213004712,993771355,908125709,96374849,372447953,706747157,285699074,534580653,-1,410921750,-1,456566384,-1,-1,924107212,340338947,-1,592785292,156515831,274076268,714842890,61163498,22962575,143751638,676926461,-1,561134152,59924208,729808025,833911727,496639475,210336995,-1,792906807,-1,224593448,-1,-1,-1,-1,358456570,641417543,-1,989133247,-1,660555027,382471364,477227513,262683904,913844700,-1,885316544,-1,286793546,-1,691450800,50118150,68316135,868797626,570303262,598575575,-1,-1,959050803,-1,-1,474460871,747415623,-1,-1,-1,-1,775108217,954594104,233006655,664410013,-1,234218385,582952029,351843570,-1,969254881,-1,-1,248705683,827021918,868423004,-1,263452138,-1,10736226,-1,-1,49613215,211511119,-1,34522879,128604960,559270611,-1,691064415,-1,928712639,-1,42513266,-1,109907182,382928697,393401896,812388892,-1,-1,470887084,726474505,763389862,-1,-1,818300501,869612129,666263766,894468214,254922965,518836630,147864951,459783197,408615074,408074157,78428522,850306570,-1,896152144,-1,633604906,207952478,-1,758829471,20685921,9959264,491996109,755531405,615695693,-1,415677128,2413399,819683001,583506795,487861472,-1,857037335,-1,211123183,-1,570853597,-1,82462398,275221396,471314938,254019308,550429769,861639582,-1,-1,185972319,498973335,892125957,776448205,630908656,-1,154373426,173900269,641968702,-1,445952719,961296967,123754065,-1,693215913,598888286,-1,326098477,382093690,-1,-1,498947187,721647583,465789089,658310306,-1,725787154,335384625,-1,271009245,973646902,982540647,-1,145410365,373186169,146711721,357422291,300910172,671355129,970298596,-1,673439000,172972761,438714676,5535084,126273163,343067180,-1,-1,-1,-1,-1,-1,551736638,-1,727182178,869387005,465436718,453397472,-1,523765701,-1,-1,-1,704416992,778500039,959337600,59295493,551199043,-1,201960839,602741446,-1,482853450,-1,135833718,-1,-1,564920767,426329885,-1,-1,54217965,550525099,208619312,-1,-1,226846553,694214611,808415427,943282032,847457320,511889671,-1,258611052,76365151,-1,954290054,130703938,-1,553018763,120087387,-1,729712047,715348912,198273927,-1,-1,513713687,937736097,398452736,901134343,-1,-1,-1,99016133,110475605,-1,875692657,777682126,-1,301216006,444907601,-1,79108578,811363302,874594381,582743372,-1,364122249,706720026,-1,-1,280555104,-1,-1,-1,-1,789693655,398293569,-1,344062470,-1,314415876,-1,-1,609774061,-1,668375964,72104698,-1,-1,654074764,446563181,917719199,293161631,217256300,-1,537649023,-1,463026345,454906506,988113267,768487035,419212323,485381256,870947595,19414656,-1,904190455,507403455,324067624,-1,661042151,125699679,-1,420818408,851192508,780629821,479192362,635128434,79464689,825401461,407083969,73758497,-1,688276566,577068584,-1,180856990,399573956,631426380,-1,-1,378894387,407639068,-1,-1,287806807,617519453,-1,-1,-1,480703170,-1,-1,607625857,591296355,174838626,-1,995586822,575992773,275116885,-1,662368611,479025280,810579018,-1,-1,-1,697641742,902357206,281626861,-1,21807540,993970753,568625681,408578587,147965115,70345648,558106172,-1,-1,81890950,-1,591634969,139647407,568247243,-1,-1,891023368,161780028,-1,209881067,-1,-1,103160296,-1,175312907,-1,36592568,986188671,50492766,496395286,-1,240089523,-1,-1,200470267,28948863,666731702,95024255,906066626,283175969,958502610,-1,753633127,133175244,6130209,394313124,127189943,-1,-1,-1,921866974,815374129,666543703,118227211,-1,-1,-1,816546626,802071806,617896955,-1,391020514,247276987,827988513,-1,-1,672068646,522814259,964734782,906254820,-1,672716825,213472378,833362538,515536866,75906980,-1,-1,768945390,14213831,-1,638738481,631720095,937080076,817529953,744303592,586668866,-1,-1,847517087,-1,142074984,32573925,807095569,-1,226719911,832554879,799499460,-1,467039820,-1,644278113,389060360,197715317,102765476,341446195,716034694,-1,88675824,256398207,42492946,452410684,-1,216443294,-1,412733881,553654986,35863234,-1,930599368,-1,610391401,784696633,687856295,263144585,-1,404197568,896418949,688685061,371207310,790308241,-1,382078443,-1,679738269,-1,184587205,806754967,295882298,-1,938784949,-1,31702553,641331823,588657050,-1,841331433,414501986,-1,114404114,649898241,734616366,-1,349978886,785802945,-1,161756890,-1,-1,620386713,63660717,540322212,149297253,618151697,151275244,637450344,655299605,139180604,-1,-1,-1,545392306,231933692,711870592,360237724,-1,703717179,464972924,944472239,-1,174179959,762136910,392175739,-1,418543145,934778468,877736927,241258167,-1,517836612,-1,935522627,750260712,-1,471990795,847524062,406310751,182642139,302068929,531772527,94531899,349250979,267109614,62465327,949598089,116118368,462020526,-1,-1,-1,52296368,460385128,699815712,487046270,259398228,634022460,-1,-1,521536643,479305295,856158562,358336490,175520096,13410992,842355520,439587676,-1,675238982,985799017,881956690,-1,224800569,547699900,-1,465982028,236815573,896627043,-1,-1,-1,582487357,-1,201993645,912445785,-1,-1,875611406,203522439,-1,-1,163231463,297910357,710690056,759863971,877306278,313491608,-1,493834876,17877629,32090329,907157684,229231232,-1,879817376,301462481,173343766,394490467,323117685,-1,-1,858206581,391765235,-1,598512739,522059662,-1,597828567,-1,863530684,874636338,-1,66618912,-1,901799562,212028900,-1,706273963,959068801,573415743,-1,11161579,-1,-1,-1,-1,799205838,142639191,853921191,-1,489493563,258649417,308895465,-1,619969639,-1,817298549,3823086,-1,74145207,850326565,875401363,629927273,166845663,-1,307206289,80045252,463152651,-1,-1,435189989,-1,433025289,-1,-1,213068858,802654238,617021209,620675887,788022903,-1,958003313,625282910,-1,413757068,710253299,192938441,-1,962416594,-1,738766351,397889377,975723641,335532647,984877764,-1,227529672,30565319,657863317,52500798,-1,63362477,-1,960836637,726456950,550058,569066337,-1,-1,865033127,-1,-1,627673417,861873969,-1,40614969,-1,-1,-1,389853429,-1,-1,34527254,470982370,547333859,-1,696568646,80188229,667807587,860693703,426332515,770498756,14274655,-1,79519246,-1,300884271,381469161,311184699,330687788,673508732,909388074,680582570,85691677,654435734,566858328,-1,-1,935227541,112528705,208192176,15423039,753059601,864346288,686495930,59951192,102756689,898466460,-1,813168548,480389195,792301183,944753901,734415018,-1,242249451,465750947,186087362,-1,-1,-1,177922173,27689112,-1,537456257,525082440,630558026,640677688,898680877,-1,-1,603045860,288058736,814518183,578389305,300591333,676715476,813263766,646882134,343243631,655043929,300844956,73409956,406296355,-1,-1,468566540,302847297,625528967,85850427,878631463,273765798,645086630,476771633,85845661,968966696,-1,-1,401081788,-1,810522238,-1,-1,-1,570736120,347506051,293370165,558902783,724783448,387282575,449475222,-1,91373361,516361775,-1,280643534,-1,8765513,525512016,360998523,549961383,255970717,379946409,-1,-1,664355251,286094168,-1,-1,593649335,-1,-1,926987438,785244470,2128795,158666258,-1,616029541,453791474,51778586,972121001,616653379,428754022,-1,-1,-1,-1,-1,-1,-1,-1,835865871,577169171,572480372,573494854,173675336,-1,-1,288638009,813414341,472113284,-1,129993787,197553796,667013074,323289395,891212843,448013357,-1,593318780,74091509,951105421,760370656,235262297,565391076,552027661,286369600,733071096,-1,140477689,-1,839405388,-1,714034299,-1,258221439,520599228,-1,447893133,1829793,679529544,928184808,-1,-1,-1,-1,564678286,-1,377812334,307341953,37797782,227997377,314843294,254383722,49037225,-1,550556260,767576017,111210097,-1,849678319,752142106,64846485,466447567,-1,591049476,458765739,-1,-1,457690602,801209762,834320275,847664135,659255175,531427870,78672199,-1,282698339,985080082,953438956,78466174,-1,303524798,784735533,-1,411880048,851109705,321153236,274642428,396369656,759860572,-1,261782119,673928651,803993330,-1,388191326,-1,733411073,-1,306581920,296630888,-1,975687661,-1,488875455,18018926,875887286,404690727,-1,457677696,749731792,-1,760168231,-1,151726021,-1,448691084,491795485,771927671,-1,-1,626651976,243177443,-1,647019986,186925080,504739666,224894364,-1,216103355,2739388,742236082,-1,-1,562353760,-1,-1,521809199,561673512,541222801,683148022,-1,-1,905343073,181738365,349371953,878767660,-1,492972567,165888876,562201760,48667267,-1,791122757,-1,387683109,914941931,944547601,384818330,160479891,910180218,623973959,956319773,-1,509165872,613833012,101937103,308609656,-1,425967901,-1,-1,-1,249747325,133183098,216462989,878976219,946922729,-1,-1,867535214,-1,239251151,-1,-1,137667072,-1,731211042,-1,-1,-1,-1,984285077,-1,-1,620034683,691454389,-1,899883047,-1,679168261,989560556,-1,820911140,90679719,217685716,395622501,807568823,846828443,452841790,321288719,919100679,126738515,707894375,355566796,-1,-1,-1,160613219,-1,-1,-1,515590045,456645423,148003688,-1,-1,24238279,715987819,810294465,717409663,172234230,28769709,-1,344384641,235051435,708108759,855263654,1702054,671688582,88252003,603564783,339577225,676852436,-1,-1,227989544,390050780,115938050,-1,469318635,-1,539785107,-1,964188119,982882085,976326626,891775788,-1,161510320,-1,-1,472552034,-1,630004983,601248203,379695783,579156573,119740677,368927902,339520897,291366763,642935180,928239850,807031871,483080337,746312563,256286455,615720354,593303831,192329279,-1,201168747,867859958,347922951,219990453,907459487,40065075,-1,-1,947126711,7245657,869499359,95826867,21527368,-1,389389869,746056649,763658998,81169798,143469442,892033008,545370349,-1,496061789,490321978,238977953,581471793,827880791,-1,83634167,463104428,-1,-1,896817493,325976854,422349204,-1,739921314,117553136,387672482,111548575,-1,681285376,721507229,313884943,222190559,192734519,315348047,879059296,990740397,-1,139514018,382610000,-1,407145684,451083450,999868282,670754213,560588287,-1,860047303,924273781,848584088,996281311,615782732,-1,-1,523569792,-1,728950378,193029645,814526683,350959965,-1,308722462,-1,740828858,202309679,-1,-1,-1,-1,839472837,934994203,148450070,753267936,995244092,741459967,460212652,-1,691526208,-1,-1,418867060,-1,224667662,38901709,889855551,600326147,-1,479850156,822975716,953663162,140292830,-1,831014844,69203058,-1,599794366,894118721,719931855,976773487,947562989,454588986,387864607,956264378,-1,532141977,156698741,-1,63408501,293417146,-1,-1,487016912,282255741,511875524,195088890,793484692,-1,638998651,-1,303263697,572426851,91466904,-1,337882476,272749289,126154017,-1,160437091,-1,666988709,-1,265034867,576282380,636213031,-1,840066662,773555612,182056126,-1,-1,-1,-1,695720425,335267274,563808976,78715536,631895882,441019559,48568352,-1,6532281,49720801,898718135,322454931,253941925,531473225,-1,489368038,501050854,474597651,-1,501987021,-1,250202592,697925998,623615297,23268058,806702671,-1,56210074,348398042,919872527,-1,343868629,210722721,-1,749138383,-1,-1,342763764,-1,866132251,-1,761088010,714476463,596193379,-1,782859509,138513883,528492273,630199387,37259731,20024161,989699430,-1,317652052,737909164,639333911,872438231,735832066,-1,312134210,647837369,-1,646475565,227904653,-1,98765466,-1,791916756,-1,810252320,416760543,206357032,-1,89741903,-1,683815032,33891884,917249756,149314168,252028505,572860547,349585039,-1,-1,-1,-1,-1,850815233,-1,966608918,939125301,502122453,-1,411823409,647187791,98521483,-1,-1,622988555,52874318,780958178,156927858,-1,-1,22706328,173391273,172535502,138715757,-1,198190139,-1,642855158,-1,541228788,-1,-1,151308692,473570063,-1,-1,517970553,-1,211156204,-1,341048161,784293114,325033600,277744644,92812850,518616732,-1,-1,854062482,405023714,-1,94185693,-1,351301532,382037780,529067431,427519790,350186810,765300494,170364317,112873816,688056885,9569532,597299441,454878695,-1,678848011,889151921,-1,281092802,844091599,-1,219473522,551998450,855336292,749117509,842645520,303706411,330447439,346319999,193158848,311145539,322369963,593689758,71024638,315592484,-1,348284007,965730952,909259436,-1,-1,-1,-1,-1,97546343,-1,640218683,-1,746582784,-1,583769939,-1,658498339,-1,275360904,-1,41509960,54697533,206718748,-1,-1,101658253,391003201,163517001,587860266,201113042,366572467,-1,271659603,-1,42175489,986544307,128251106,960974893,992699065,197042595,26272303,999405263,-1,92041435,850151249,405582899,473122146,171721987,-1,-1,618040285,652168065,-1,-1,709567934,200863654,747426813,-1,86426920,842117047,833563910,-1,521437798,639019033,-1,281586834,58484053,919473841,700082485,-1,94290407,243560457,806070483,-1,155117581,850466099,587796450,351368429,285933249,314143327,77871409,318755827,-1,297372146,238653487,716757786,475973056,78026097,284680097,898291460,679516371,45373612,675341050,256927401,-1,941074365,164300126,420201052,398953999,-1,-1,877413800,470106810,723718870,-1,-1,64804611,63183201,732713237,723109991,-1,-1,974834086,252503183,831231391,60170048,-1,772988313,956066043,617983896,200550436,-1,524247071,526995019,839786797,-1,905177045,-1,670061765,442494963,-1,972156092,176617803,466877343,438750526,-1,451706080,-1,623008130,598039067,-1,-1,-1,31158828,951390093,234550411,-1,529725199,596951245,252928736,-1,255891155,11680465,47127618,-1,-1,820041726,604874895,526173377,-1,586322851,983456142,971817770,103379439,-1,804583127,-1,420506565,591996958,105788516,504371974,337208717,-1,495314257,264084894,-1,28917763,-1,207644733,494090911,857126264,242398922,266407295,-1,242791832,-1,591406765,275870299,490425978,361968103,738152436,-1,494517974,203346343,-1,105964460,665770587,61566037,-1,298213945,165113045,790015568,516820830,746038284,542395454,44961404,811505958,902337959,-1,89822259,227283094,379859725,-1,209213120,192621271,270028855,-1,-1,448815442,837002845,561951080,295404037,375914073,824058145,-1,-1,-1,-1,52411996,978636709,86222082,701238758,255507676,103239796,860554157,2771544,-1,-1,-1,910608193,-1,848195624,-1,-1,643290377,-1,-1,649077272,-1,-1,415404085,-1,220682237,-1,-1,498502268,463976341,138418544,-1,149342100,72059756,482884422,451138608,-1,-1,597982347,614963457,733103993,719721910,771708504,316235130,312780802,-1,523094324,737228492,-1,-1,760279091,265341207,495841278,352619699,594965654,228539448,-1,-1,995429623,153335291,155018410,724281064,607601617,-1,236237739,391248682,360317643,-1,472479889,244249831,36136394,613329804,105260986,-1,-1,127606332,-1,329240445,468398909,-1,480091875,-1,850102968,391535033,131967126,-1,856007174,748526425,-1,-1,347702281,371731475,943825552,371965351,640935363,-1,354866969,-1,-1,727490446,837694291,926777328,334731747,330593028,314584948,752434459,115655810,152327301,-1,930387860,-1,318866054,752929272,470427829,431753961,452903449,653901006,958802932,-1,572726116,189870646,69576041,350254725,462803436,744326090,-1,633011240,78477150,468720329,860864297,-1,519112608,-1,366081838,778252664,840105609,482200849,-1,182903359,520784514,752889767,177885619,88106798,63842523,165015236,397019097,974240021,448691382,666862449,506941535,-1,80269167,875546693,762846807,355320541,220375784,458559991,190603466,-1,-1,642101292,821616498,-1,647157693,478646710,-1,-1,665537562,235669342,345056198,429221264,12876228,150894834,272325664,695576548,306164318,-1,56142012,-1,-1,798759345,-1,180952552,22977064,825935826,721398090,166380501,303969701,177020610,902434055,685442240,493891376,179765928,-1,32053442,-1,288512212,482364446,755111576,801424550,879660574,-1,401557202,315693705,-1,962914036,166416349,108150928,504281139,958670992,573535557,202546452,962929025,742941101,-1,58065961,-1,60082791,-1,963185598,206585090,218821796,437041123,833473108,923762878,13570711,389202594,447776746,-1,155648365,693153034,488016859,496505707,330869415,49396675,207221579,530165158,-1,-1,828021228,-1,124113897,96768502,981787087,-1,49361690,114158358,770172489,570533374,624560069,110968502,-1,944605025,273843398,580520040,359702685,-1,-1,200752485,-1,736900254,588410294,824298711,780093968,172630078,407490386,280905172,43827600,757437383,-1,648188511,351017556,913151030,711228248,65215129,-1,698037669,718914053,657936292,282087103,118485359,414863027,564578620,740656932,-1,803865330,-1,-1,295961927,-1,-1,807469997,855386379,502401567,272738915,-1,145528994,-1,356329107,578468828,488429805,590172171,212274894,954701035,-1,677384282,-1,777705145,439724614,698348716,90148113,996476301,427082068,993035790,831059008,494088389,-1,65822571,-1,555243622,624794276,145367027,407678607,241150919,144077981,-1,-1,425572278,19453882,516598294,-1,-1,135049071,213300175,-1,-1,-1,236115112,448215200,146772511,548676442,874990143,922537574,710610586,752568386,294105757,486948220,-1,-1,-1,162753545,-1,814067541,-1,906408675,503664565,293241580,745856381,592427081,695496469,-1,747536653,606426435,219618278,538120529,500247161,359735889,447687376,374764402,22166069,-1,853456509,-1,156142896,203198929,-1,509417462,-1,805288276,197980650,-1,338533347,737696620,586700020,477145088,386783382,359533397,595854225,-1,469761690,-1,767135182,566953600,396970178,249339594,206627418,752026635,772640458,640568424,192087992,622056274,-1,345991036,153591322,490619014,928079091,59011106,634018558,280765844,-1,901441915,536362780,-1,739041843,121330606,722390064,526916341,908408472,221438150,656190421,97049442,447801914,-1,386615808,-1,188589708,910893391,420174889,551345101,681582343,590312754,622338113,-1,24086487,142243607,396610536,996147627,-1,147375673,-1,-1,788746073,347539086,-1,634718825,290398516,975036328,-1,668009035,596669879,743621199,-1,-1,751651387,-1,-1,800727211,-1,-1,506904773,38091053,930626038,-1,-1,695207219,980710999,-1,452321797,468012737,739289879,976210829,-1,-1,590500505,217329419,666321826,-1,906193475,-1,711929758,-1,758364670,-1,-1,495925000,-1,235933473,-1,701074031,-1,106054354,740518287,170214739,356767031,610456665,534006980,295871239,101624201,787892635,259058513,679314379,626192959,679031374,467668239,38156135,824526702,-1,187549098,539111161,44401795,-1,223746552,412848370,352931602,472776957,308289208,163540486,899840012,180571946,29210100,229516423,474842520,874053793,108165642,612806137,-1,823887223,116393736,71012871,-1,-1,155648340,490113937,946467854,133894209,-1,166521980,831676921,198513275,77641355,973089362,-1,270900680,307563339,180712858,618190680,415405378,-1,738218517,809992093,296627886,980681997,146217823,497743852,465366668,118242823,478579237,-1,761883038,190981367,248151044,-1,908764649,560517777,-1,816911990,-1,-1,398241920,611390715,656090883,490965143,510001296,-1,153306533,248101125,287451236,732156995,351042519,997530575,925591167,326541318,-1,164571669,-1,265761252,840445185,-1,966160106,372595059,876183818,625291539,986531057,-1,-1,807751868,91514285,693661017,109823599,-1,65531684,803265417,-1,450310906,817222222,-1,-1,693098197,48321389,-1,120090125,964055055,-1,-1,776527064,-1,620390759,5683759,-1,782924104,505229266,210868461,581388103,773655585,-1,226816456,-1,994520706,166225987,441306478,373221027,-1,-1,620337469,141805262,-1,577126473,-1,-1,-1,-1,161885159,-1,413607961,327693750,-1,400740257,-1,475293284,478337836,930206477,167037064,-1,652485440,496476076,873834875,623044471,-1,237746461,798022025,699238372,-1,760764909,441157689,945620494,-1,97100501,871971356,-1,417901789,533801821,-1,-1,-1,251975025,-1,-1,-1,691381165,-1,-1,101115929,-1,103719239,-1,777553920,881776593,704343609,607874360,386612050,656046933,914137613,952358161,466382307,436356850,4455551,681885410,157929684,208990940,539199441,185969529,952313568,492979226,704491822,449430409,844034800,-1,394439547,-1,-1,722883762,770373117,185287229,-1,568029465,722054758,292032876,447300376,-1,-1,-1,170108047,292255561,-1,649597928,787865103,74181817,250145478,130837085,374919676,-1,967952599,14398901,223211747,702589705,564148310,488704292,-1,884231954,633780435,179536688,299596304,188278184,-1,767655815,753903811,868554730,749966344,-1,58941378,918054506,625303124,-1,-1,-1,-1,292948612,603307735,-1,367733350,450709587,-1,935722141,154649721,291491519,-1,339101159,-1,200400615,472434024,544484562,215596403,878567591,777667951,-1,438169006,463752767,-1,-1,764108357,790774765,30576915,-1,693770563,168742209,154208823,-1,-1,212310676,-1,997615022,365982674,237871916,872802761,829887892,887213050,-1,410188261,-1,983545864,-1,394180163,254409724,-1,767326310,-1,-1,241659564,-1,212649934,185347022,-1,951022792,758831228,401560597,984904395,-1,604750310,259085204,747222125,562940522,229042543,322888708,186687668,603570266,776314773,63833197,-1,632339816,190696042,292913255,974575327,-1,377260599,477948810,435553055,495562391,265992381,399290268,982981124,53149664,815822795,456095531,-1,475890220,-1,832944029,327333043,861736050,459702103,-1,-1,-1,190245570,63240047,46781210,898744560,646507401,-1,513104900,-1,758578667,-1,58846012,-1,300014288,52913186,-1,903117378,-1,952402594,437269932,256110358,153787430,-1,-1,394715807,-1,899117255,-1,173859726,263932999,-1,646495949,-1,545481066,30562154,985659948,-1,782423273,253628549,-1,-1,-1,842436859,468644339,235554897,298353950,323860760,742577806,-1,-1,820316113,-1,986467206,567321849,555568697,229920476,374788994,757188699,-1,661181530,-1,397858696,182265489,517892855,485082431,752412230,488420931,-1,721665644,704669081,647865279,440063096,-1,566461481,135542574,-1,532628981,636313672,-1,-1,426649715,154270867,86865836,130494470,184238899,12540049,403850379,224982059,486916751,-1,-1,481103834,940236906,477967719,595917427,935966367,275154248,758579839,548199489,236092100,638561410,-1,675078306,800968824,480916932,579038230,379900248,45166206,195369983,-1,-1,464163727,443143545,56104932,756309853,796371128,561281667,541358461,276489860,287025628,79068860,992117507,-1,-1,-1,981488710,793192954,886934931,965503341,115536410,360778672,428820365,-1,155317129,36002737,813831955,276100196,-1,672455911,714887252,809328688,987261291,-1,58287306,-1,557330897,366087712,737882538,-1,739854769,-1,476022400,129632622,806295096,65772130,227677326,-1,72104368,884481817,-1,660403603,13332756,169874430,628609247,819933884,351355958,976804824,1913094,607358172,812871088,-1,387843811,672369687,837320734,828771776,-1,42951090,58933708,283757526,-1,762554198,122726717,479395752,526217382,862674591,754940283,130742130,961646494,-1,255507369,277881028,593678935,-1,-1,486015428,-1,-1,208914831,-1,325367878,-1,222667776,-1,-1,153738496,548964755,681690707,-1,144307238,-1,958167303,310531488,196044283,561056304,610133661,755887946,-1,-1,774856178,-1,774607201,581819181,367061918,348692575,837831218,-1,33773070,323721396,-1,684149058,-1,853181871,428898768,947702057,-1,624558003,-1,1535644,238025782,-1,265771584,862835582,-1,634580367,699185061,-1,419662429,73825465,84062617,278604322,376846576,-1,218161421,607676390,-1,334774873,6339033,-1,665113974,809044833,-1,-1,49308752,122929259,-1,612471022,883634156,954414557,289633480,-1,-1,936569915,709945779,93923692,-1,468816954,-1,75356083,783018269,685682932,703007545,363691427,777958501,525812043,-1,-1,715338623,148713968,-1,144185800,63449106,520137892,919027597,-1,775441161,-1,221565985,783355232,913521170,694095141,618200987,773975890,894071055,132956675,287939580,-1,865857416,263511446,-1,-1,-1,534121102,697836166,912836495,305674383,-1,528041729,681120394,-1,28634415,-1,-1,430391102,479628112,-1,-1,-1,572124339,773081413,722564536,-1,914987376,-1,80997081,160137489,514969977,550198177,646143367,878914079,994554335,655838055,681629032,-1,668529541,220516789,733172429,-1,-1,-1,-1,682332516,791110173,879841827,-1,-1,10691657,-1,-1,710636803,472461526,599614164,532829665,8311166,531521974,-1,844073214,59796993,888837042,808633834,-1,559593995,430722680,803606285,856953044,672249644,44687768,35095659,-1,216069349,670962623,470018854,158805542,104163860,238869948,-1,568417394,527164242,546991992,-1,513622069,-1,444021218,48505218,793239844,291726548,338080338,57985811,-1,746610633,266961402,199119291,724946227,-1,522197873,74469051,-1,-1,674465290,589509197,-1,858970737,711951465,496604744,181289750,-1,874920014,486089322,792703343,-1,-1,294893078,577980774,560062218,513133258,-1,-1,379684850,-1,910171153,-1,737370892,-1,-1,-1,-1,-1,470643038,84506774,13011219,-1,-1,600142171,147036684,12753352,391383991,44048541,795129444,-1,-1,-1,599064629,339580694,505375115,-1,68731601,365956130,485863210,303774944,591897153,718546461,68330986,105981635,-1,183971865,235551103,886891586,88295079,-1,-1,-1,707541106,640871203,948241710,-1,-1,340413943,-1,-1,-1,674029863,952416284,-1,837653307,286522358,972261745,703305498,-1,-1,160691810,246290273,-1,857155725,941337195,691366296,669421782,247453143,-1,313422793,-1,375889103,-1,2798973,906654723,-1,168368590,326498909,941099286,276034475,243570883,870996442,559903824,-1,373179651,243680176,496539541,-1,210665937,376728879,498216782,-1,319604562,-1,997838067,830346509,44315940,649075121,703374220,549969973,919085720,204446840,211705133,792341855,-1,154063621,-1,874111707,28039144,246472064,717609822,611048892,194094061,173438407,809461632,489371841,387541540,-1,-1,799992132,260582095,953922091,994916245,424645892,727502364,527449358,-1,874233453,-1,682271167,85605127,190993404,-1,172353022,-1,770337060,471459864,38069803,589613169,714084069,34740298,910755113,815646416,91839249,-1,-1,-1,449405880,-1,-1,308180086,-1,450067264,-1,-1,420792201,84302209,-1,539239274,-1,-1,553945402,-1,485464766,663203999,137609313,776026306,855171537,-1,563643869,531025319,-1,338105980,205179891,838099516,394864636,834083460,155982755,-1,587470289,-1,514519126,-1,852490651,97624728,843779720,-1,713115680,570305367,858028543,-1,-1,-1,-1,424224951,496584527,253123460,-1,-1,563575609,86601518,-1,461156924,967191899,472081117,568705699,924601014,245753825,935908852,-1,436663871,735990371,501051817,-1,-1,86454011,422091212,309255967,100031935,-1,62677839,804518866,37959984,213432755,617843507,431687482,-1,644036257,-1,851629957,899166620,72736091,-1,421837262,868178236,199462642,573779845,872581812,528380459,-1,-1,462647153,-1,-1,-1,623771879,-1,-1,-1,229599034,-1,968899305,76951064,-1,779204872,-1,-1,749939997,290886260,-1,175642543,-1,-1,589682297,190893074,823542323,340828576,412760666,499233315,660123032,-1,-1,946746923,130074718,270288224,-1,602145683,295362261,-1,-1,-1,-1,412543489,974261101,-1,166766299,458011427,376667040,583302955,706955043,-1,629558119,810002863,-1,-1,324600596,-1,347372014,-1,997997281,-1,317974467,26163449,-1,848684479,-1,-1,-1,796861837,-1,304691534,-1,490390538,-1,731663090,-1,-1,799273413,591425968,800554730,985722353,961424364,-1,882168187,106504994,-1,-1,-1,440385665,268307185,598990831,-1,560895759,-1,663647023,-1,-1,311642351,-1,316629714,-1,814240041,-1,29638574,820311352,639665918,26404480,923119953,-1,293366200,780020054,264611792,-1,712100138,535461708,200019553,810617933,567535943,-1,-1,319800892,685853248,-1,500776720,-1,783654425,-1,126966665,236775409,884769009,-1,342779528,-1,-1,-1,-1,463009791,991674934,217809154,-1,615628135,16583979,475248411,-1,-1,559690361,757545396,-1,231100053,144741463,-1,494285560,-1,979359612,-1,998867973,674311201,-1,-1,-1,662503728,155468931,354715025,-1,-1,872597998,826463529,-1,871431255,-1,144227085,-1,-1,879069248,999247175,-1,-1,122372697,449278826,-1,585620999,297120258,741033382,143298049,939087371,596548658,821629872,768919482,826778122,737718425,-1,78823113,505935583,510027492,-1,243254737,468310332,693379341,347972871,456335505,810919262,673038661,278931274,-1,781960776,250708932,967708672,-1,229941038,275744101,896451336,-1,798105140,940035531,550349909,-1,719414191,-1,318557072,-1,102367652,458398004,206511021,-1,-1,-1,774226372,748466739,368223013,-1,148305144,-1,363370009,559282901,841951585,-1,-1,829615104,622682760,175980703,-1,682235666,-1,-1,-1,980284746,394297102,-1,395337618,57620151,304731218,-1,227478439,866889006,-1,862862837,805617539,263035328,-1,-1,885076152,346003755,-1,514952567,277484262,601997756,457892342,973504415,467146562,686515082,-1,-1,156546632,807381381,759382368,195704441,-1,440467894,-1,608073404,-1,304894437,108510272,-1,358726030,833076463,-1,882987203,765077534,354776889,620262879,-1,875603990,-1,550513657,-1,830259667,612846332,841734949,811825437,813904687,770286040,-1,-1,-1,530814535,418233939,-1,691945210,363238562,455609549,177020348,45333924,600813183,-1,-1,348684158,536347455,-1,770735485,986542709,-1,-1,816811462,875814800,-1,-1,-1,172985519,399735865,568965186,861739447,486387278,-1,685450731,-1,-1,-1,808173542,-1,102345444,-1,-1,804849257,-1,7892673,-1,961496367,140449522,868607664,607123391,-1,16379988,-1,130719012,215545640,572200945,116747582,231381240,-1,124513993,585242428,397440512,865414538,594356386,416106797,377275273,-1,888313382,363587578,641161717,933161889,-1,27087175,459897195,823416003,-1,471662296,575159459,779159563,-1,-1,827271867,-1,371639999,873424421,643087381,302454377,760634570,16492743,402953608,891493081,356026416,-1,453141365,476630475,-1,-1,622492018,-1,-1,455849829,653237126,509549928,32641303,-1,657444594,-1,-1,-1,-1,283494171,-1,78795838,-1,416179669,627233733,-1,346369469,-1,733760931,-1,-1,712182462,-1,422714352,-1,689432109,852612184,342035665,860393890,407712470,90842698,345861482,184276619,-1,515520378,71600085,354617489,-1,512739665,36777188,-1,571504246,780403424,503321039,637592873,-1,256017937,-1,-1,630316474,624383535,104750150,856171428,-1,471969554,70052771,58154114,656988587,-1,-1,532798128,-1,963209528,982683958,678595365,858023627,736134861,-1,-1,370969660,695659340,224906985,-1,469533264,269782307,-1,450130515,912008329,693704790,112689952,327824577,840784462,821847911,207139550,514049152,-1,-1,83323157,319356903,-1,385277583,147646207,-1,-1,271077596,-1,402982566,183009350,704703302,591293457,182998797,886344174,678066083,532316723,-1,393474800,-1,-1,470961623,521435654,378791816,366953615,138762002,930122332,456063106,-1,21269422,-1,221028919,648426638,-1,220807425,605379871,290191115,213084132,476476551,735510835,11874466,506518944,-1,823024738,430500143,989110570,30853619,315148986,957978629,796125571,993577893,954509855,-1,-1,230432777,57464564,756320896,928609622,565715661,557690485,525866584,638340634,712018848,245505621,-1,-1,974380354,-1,-1,-1,-1,-1,139484848,782423523,-1,258316652,-1,-1,494292640,699515773,25895262,405884222,197760236,651843766,11027687,230379003,-1,476942170,619531406,416615271,829584853,-1,981002264,853356222,963615564,198077674,-1,540886468,-1,205306919,-1,173862850,-1,446236125,130635859,-1,268924729,912326328,92269506,228211609,858545119,-1,485126931,-1,33215829,141146267,541453306,472990926,337290126,136110244,-1,147195019,478977032,-1,-1,66591675,-1,-1,800535464,386195826,499528969,817754406,865319674,518562113,-1,319338510,723803265,724461891,-1,859936270,466683441,418468014,-1,507310860,797998933,-1,164698938,-1,-1,284109648,681175074,-1,-1,-1,9945837,125246499,732124581,-1,692895746,531944869,-1,708108478,986881816,688102184,896922431,662460047,132650182,106167079,990731947,22530656,984751337,917512011,106559534,313520738,262046239,792544332,-1,77891669,163265248,833864306,-1,-1,608967529,255452910,-1,-1,340338102,-1,804037320,-1,-1,635595778,-1,258482705,689316922,270250005,-1,532414091,424287260,-1,860267578,524809078,84825464,212047018,145905063,-1,168313843,79887248,912826467,473899771,969768972,-1,60660424,-1,107712512,-1,374762474,691065536,-1,717914344,250414178,25596731,961841703,-1,907084354,168723952,464536067,641042184,36774743,792385168,-1,-1,604406033,364925792,836555254,462310390,785964114,829184643,202819501,185998539,511927124,231429764,950435580,626495810,-1,-1,51075519,335731441,-1,486108298,-1,-1,532096448,11255946,-1,872571419,736375251,664901495,664427049,968790483,398000061,248807095,882464086,12997624,-1,-1,923745621,222048195,48230232,944288168,135780255,653396839,-1,-1,-1,580508631,957567597,-1,132551383,-1,51690194,-1,625767252,496605783,511078199,-1,446675656,27201212,776616970,81534487,-1,22382713,-1,-1,386678651,95232247,152648521,132430381,-1,-1,620983528,825191801,-1,318625927,732629407,242754867,805080527,682661576,438540542,-1,366309439,39040640,184054551,-1,587233327,-1,177042232,618405636,-1,953983151,865030738,-1,528283830,260935557,864966431,-1,532488881,-1,399762083,481746873,152956384,-1,224950699,552442246,-1,569010605,564367048,607880376,605969658,943382288,679672816,262024968,576416464,804316823,996185630,431505364,515088154,572107120,-1,75643024,946427736,446365718,212063734,881882282,477818830,-1,-1,-1,760526450,677845659,139400395,585483967,147231010,252896605,612364688,574653000,136910141,195382496,852679095,495358033,230074407,572859188,830634781,666795725,735748690,615317418,382911987,820546474,85859870,294297153,-1,102865598,-1,673211214,-1,935937853,-1,567165958,995801842,170253938,477754105,450264607,-1,681709337,18810121,733137826,119350860,982925166,961108283,-1,593228335,-1,843391683,-1,330469622,360676246,409059513,319599441,302444752,508180909,202329183,-1,-1,878967424,177842569,533444450,-1,-1,-1,631084845,28265819,-1,-1,960448465,-1,348313616,772008783,681500286,464401350,460141641,745018016,891470163,-1,361252866,535508930,-1,183214025,89634265,-1,273161679,-1,-1,588831490,833364669,926240177,250099331,782730980,67003401,35433522,518674988,149362180,502744419,-1,349460640,307164298,498850145,-1,84323632,873159999,407427242,306717484,-1,516432242,868940553,724066406,427123999,732068991,-1,-1,234417633,215881522,-1,584486393,-1,845003578,-1,-1,520988200,-1,994574790,589232286,156811458,12106346,514686849,904211819,-1,19750239,505215218,197633907,-1,859024650,113396347,520391024,590712357,-1,858941782,-1,816562450,479373806,456098083,-1,791753919,135869990,-1,-1,-1,256665852,485750204,662727941,-1,901139861,276623533,-1,-1,-1,572680617,766386150,412613027,119513160,90018412,-1,297887293,962305079,714614051,379424868,45363783,637616470,-1,-1,942142225,217608820,-1,80876023,-1,-1,692087891,381636984,-1,-1,322289000,-1,699994467,447291740,108998193,335960654,790039499,432433308,-1,146439844,767712490,895569538,371888384,883469571,-1,879255338,113287280,183802671,-1,-1,500825027,185915766,-1,5569664,96628456,82789303,-1,496072850,830418804,924972507,-1,487489599,500161528,149185912,-1,879437175,539448279,-1,-1,329397876,-1,551765401,699059770,291474383,867830008,-1,-1,494420225,624156399,825206148,-1,674258953,919243789,-1,796824803,34878465,848618926,628778209,478920596,747302668,734305675,-1,45977242,534768891,-1,341202041,223279463,-1,400177628,-1,-1,851310911,966271826,320815191,-1,582213522,-1,-1,591263261,-1,561626991,537977536,551892147,17776923,383629979,416834650,-1,310158686,865465206,-1,213839031,418761645,-1,-1,974892320,-1,921313829,655407582,213047159,710854812,644951520,324745124,588892017,897295813,293903111,404752363,536385801,491550037,627610555,431402895,302485935,-1,-1,703543267,282260786,-1,846215558,481787995,32227839,42537063,-1,-1,973105753,329476712,806863615,-1,519862759,418676259,511647284,-1,955577133,656130427,-1,643064206,487286547,-1,738421781,534214705,335759187,939105355,584970070,966262490,938917492,854781178,466852911,-1,423714509,-1,13395118,-1,879954615,248727427,708950959,-1,744280838,-1,161062426,-1,987738209,16617279,-1,737061349,728701206,-1,748173512,-1,990825591,250254088,860097308,876010051,376959207,863821256,757722503,835956757,292270412,466436201,381295074,146689560,359329460,21509251,-1,-1,-1,351471756,-1,464525787,717532381,826300942,4607837,286710184,-1,-1,-1,225589271,404209103,419923582,942714108,364898980,376884828,63364362,972884352,264140897,-1,142634912,599041412,433581341,-1,801386769,940268556,677966518,593324632,902402423,914394357,66890548,344583617,179570369,-1,396902596,269069156,52303112,555573495,-1,-1,745960825,-1,-1,-1,-1,141046416,278934546,683759993,-1,769299019,299977631,-1,128554969,472362464,-1,607831091,211960164,-1,714256609,786868256,-1,690637810,78668803,457734490,-1,784593657,-1,-1,112583699,637321256,83005238,992461775,574417979,-1,471994985,281482888,33693138,42151912,933140150,567067342,943961386,-1,-1,699629248,968600612,-1,36959847,737181698,-1,137943976,627644721,849202737,-1,430076489,891367475,876862060,-1,259041794,806859526,315132458,108280334,-1,-1,625147129,860569640,-1,-1,963921771,292428619,655943565,-1,759428179,275555213,-1,-1,687030471,42622245,536488939,803558076,-1,20571440,146065527,-1,683279771,572489437,593050639,730304793,133177692,795879376,238015410,548109956,-1,218773159,-1,-1,624733672,-1,158489497,259103943,-1,2705118,-1,-1,210095545,125624270,-1,430412008,968011927,977870797,-1,729677381,979230505,538487453,-1,408006899,810804241,328734981,257667092,610945846,246203855,52514241,708482688,767924118,-1,327748499,-1,999296543,-1,-1,333820268,-1,-1,206716555,82883303,974283329,-1,699424474,245467570,-1,66543467,82490589,61402538,-1,913551626,-1,599293406,-1,744291877,501866401,72995178,224449605,388665168,-1,62741609,137145743,-1,-1,271539727,-1,708419149,-1,556564990,911088591,952467978,822564818,-1,968852365,-1,-1,-1,87702254,240672140,88588550,602310024,960507989,972450569,946462702,883229182,173315927,242516281,817279191,232803060,234965824,449649255,63020217,-1,958256242,882096883,554140555,772530598,-1,306019240,233449943,-1,580363075,-1,-1,488012935,733551659,379437498,417050677,1041496,816987803,-1,644076640,245281664,875942918,228592410,-1,104582499,-1,-1,706596722,440369106,332779876,-1,10220329,963933668,923471019,972986504,772192570,518356995,-1,621340698,514061136,-1,-1,-1,-1,-1,766246113,441265614,990067652,536316780,3928375,150846544,-1,466540023,-1,-1,-1,-1,129678885,-1,133551318,-1,412845156,-1,833099803,-1,177767659,-1,106583271,599648445,735941824,-1,-1,558853107,771745800,-1,63390045,-1,35445530,793861705,-1,767926706,925416610,605528270,208447745,-1,915899189,131992227,834368820,667549877,-1,976951536,472554078,-1,162675766,130643171,-1,691201982,-1,697932510,528003324,-1,-1,83757696,-1,-1,655546311,316750762,949060364,-1,-1,636440847,327342810,304651169,158211376,749144015,594675718,305925294,192159027,100653227,867902280,-1,374783116,215915211,652394021,710421734,-1,-1,-1,-1,-1,195818084,-1,531858113,496199383,282401703,509571924,823377301,803501344,836173733,980037823,419532265,545957029,-1,111729645,850344447,-1,268758416,-1,299726001,543957357,810115209,-1,322512255,488819249,-1,409329896,-1,915113336,336991995,-1,705363304,-1,-1,433168073,264139639,-1,-1,714937316,764250677,278918113,-1,-1,22655815,-1,205528776,435966763,510945785,794291839,-1,285989307,658897811,681470708,94105704,660260301,-1,884170160,-1,972221420,-1,607129667,18177520,438086484,-1,703128945,255872992,920357189,857030412,294300130,653482047,-1,-1,522813851,754657958,212888812,-1,79493915,786988075,391840382,564560155,757905019,969935521,-1,276098882,932459521,422329223,-1,821716941,511173924,-1,651966393,47538223,671210456,516033595,-1,461115716,614674530,221057143,-1,207782827,-1,674278463,925211065,345105170,-1,821141900,325299624,-1,-1,806144362,-1,-1,-1,658150884,-1,-1,121658564,664006544,-1,553846373,368795872,139139905,139570743,858993930,-1,-1,-1,-1,21761937,-1,288818575,661772971,96677450,659159544,955832925,-1,-1,299127508,-1,991122705,21000806,-1,956840826,-1,868319665,377547152,-1,80192004,251551100,-1,94334710,252021998,-1,377526121,662478123,-1,453674552,561266740,390305703,332215283,615108930,475600460,766066555,622006504,528821267,170955514,727322112,990093791,642083842,-1,97646954,-1,-1,404200580,11910164,472563465,912249323,255973405,350407585,-1,181567812,848251404,-1,-1,20415482,-1,692027862,697467050,579208790,-1,-1,-1,543193161,672226279,331933725,506107933,634307704,157326455,657363964,-1,228594176,579070482,205960109,142321684,-1,95287932,221789927,567720576,204402826,614666079,129312745,211921218,486500807,487719802,34224018,208956430,-1,881290219,-1,628773636,-1,452710662,-1,-1,653120636,-1,797791292,943079476,-1,212835536,122518982,893684321,854132710,539839751,-1,704748056,840046276,-1,1613854,-1,229505244,752495021,185695090,666360019,299916410,222080860,758870663,779533415,393839713,687671120,-1,-1,11158714,544219648,-1,309905343,-1,978147831,-1,604670640,-1,469734819,260471598,311437220,-1,462534246,-1,-1,-1,-1,409085403,822370110,7999499,-1,970798716,61868816,-1,-1,581080674,-1,-1,-1,1270238,-1,443118194,878031350,136687001,715469919,792530243,568426083,974185928,704953942,853804979,760695508,486647546,-1,394998749,115451705,975295862,512622747,693995850,886485188,-1,-1,-1,-1,552339635,482456808,268389762,431833984,897229145,-1,660441568,228968336,-1,332321795,740228347,888129275,706233944,-1,549281041,874251312,659454320,-1,-1,-1,952910683,534209653,849335944,919173886,-1,125512435,539182470,748092562,206098399,883477111,621284741,482715103,153337156,733669396,191458437,606581313,663864159,-1,84162283,282174087,-1,367495303,-1,702657268,436338190,485467308,992566292,857060702,-1,576098096,806216397,834759645,-1,120272529,549344687,510585738,799353494,104772625,-1,922984409,-1,-1,880242440,-1,160197213,825696817,449274965,104198600,402377536,761757310,322850667,581967188,304675007,356048548,391928610,953573804,-1,338569183,373538891,703447254,769856515,578440408,816866454,792338238,-1,681110459,818762127,3285679,395562882,208037663,604642740,623014793,787715667,530192401,868442893,985611005,816338820,552338427,908704719,999117045,-1,-1,-1,902368443,350825314,-1,-1,-1,159691460,228979415,702225204,-1,949515077,131823574,-1,-1,109179787,937648850,-1,965410258,357950117,712195591,683830508,-1,253800873,357713700,445241494,458637139,888594454,-1,701579167,549177107,628758103,660904763,586297997,341694115,-1,671003243,41499222,537760360,84594192,789826266,688754017,953286349,566619960,369187299,5703495,880212455,-1,-1,126779224,-1,738386789,432454205,563620273,749810966,-1,834555026,601381884,-1,892902874,-1,1009642,811471580,69963096,413076125,-1,291636315,136874731,275552402,706050933,158709535,181948118,59835173,422553044,559969209,330773652,-1,541361886,414196396,-1,477051181,-1,525403203,569150516,-1,552659872,992540028,-1,648072945,270656027,706804213,301831595,958283602,382278632,75450742,-1,749099555,894647832,909520358,593277164,-1,406057926,657938934,-1,799656960,-1,253063163,816904799,805959158,882989810,118905835,569562742,425849826,112317007,533657180,817775010,687172024,139579226,281312243,550379478,122598984,641054509,269364976,-1,995167654,774249964,146504639,128200272,617958282,429351598,-1,-1,320588212,192338204,350588635,673137306,-1,237368710,942292719,40200043,124655173,305686786,-1,781651786,-1,746787783,-1,583523275,705953322,964088979,-1,737015589,530491785,-1,285267786,-1,583063308,693065870,412496568,-1,-1,-1,71856194,139068015,621044883,472627570,-1,606201471,479586942,313665364,-1,574315728,542784489,333817706,115247093,-1,-1,339158002,875521117,959438632,-1,-1,615329819,989387800,298722309,-1,726806004,866382764,-1,290330120,868732864,786870573,320797847,779590852,-1,198632570,363401582,626054813,459302763,323818856,-1,447093076,964505429,-1,-1,-1,422738660,266288512,108579592,927208982,-1,296159111,-1,169530846,-1,323181989,-1,967301760,348360460,805236993,805514187,737738112,879560856,-1,676731409,909792519,922531965,346255292,306617771,643924643,-1,377669277,890513213,-1,537177512,118072596,877449657,592391028,-1,741506392,-1,-1,-1,-1,99471422,-1,918791384,314674317,571612119,487387581,-1,-1,573455840,-1,375564090,374985802,413460520,-1,756983033,-1,193860148,179138908,962930247,883290326,560416588,305490213,238934279,736717342,829363870,82558865,874736500,-1,-1,453375339,-1,90072041,-1,129514570,286085345,-1,623203080,199238146,293836462,750092022,160130725,269247614,-1,-1,969316020,-1,-1,477408861,602004132,674405785,800345955,206986050,917432157,528725888,-1,-1,581587807,-1,960836143,991420089,80866472,-1,525275036,493856413,942264623,202000383,-1,194662826,879873024,326998197,-1,-1,-1,275207218,520952461,999745531,-1,352425143,-1,-1,197384890,-1,877824378,3962710,23116636,-1,413682201,523299088,-1,-1,-1,-1,-1,448565435,121306496,-1,937639422,104902575,547399409,-1,990673173,-1,308566053,209731200,551164692,584729714,465750868,201143246,713924080,996439837,-1,568783090,602590379,-1,392246094,717249895,356551320,915878276,273773801,-1,-1,675896030,-1,614037336,739688445,-1,277253133,918105168,721747355,-1,882304419,838711108,477599713,593457825,776488045,585690376,350983796,226033221,51759068,-1,-1,-1,30846041,199322559,-1,989399174,923073678,38858515,35989510,722009433,-1,-1,-1,-1,661077463,408697864,108517870,-1,794307802,133250701,473174409,-1,542262484,166122463,715741843,441778726,712609757,926896093,36106826,305246993,690546415,468017003,988159301,-1,934429814,-1,272376736,993706010,-1,714454248,572034594,-1,-1,754561418,75663140,153179970,855719920,996401193,456885167,813776544,804978799,303903023,723950578,-1,300367429,782113710,266776653,752093988,-1,135343833,751660800,678646579,-1,628181210,582134530,466943728,271660868,936678064,-1,-1,534592011,741879176,708496001,-1,246389670,508366009,208081890,-1,637200315,570991283,-1,-1,-1,-1,608466503,443354451,-1,-1,-1,652454879,213081041,940072210,-1,127384838,98864493,93593489,55840242,-1,69728511,145849202,195181771,151821205,165926959,560424474,676838826,228398557,923785021,642006746,-1,-1,322842249,123339805,206007661,-1,877224081,543458396,-1,211643623,609827433,42947777,589048972,364637826,119673377,51788834,-1,366695044,346121992,617146501,16611604,596621663,-1,509727044,854738131,137101310,862654648,686114169,917290634,794804358,986223223,799828624,-1,668415638,-1,587402950,95065566,582190354,845110588,-1,724607986,-1,123962848,858716585,413951970,972555349,958580481,599580027,-1,-1,721227606,856786853,401286775,724943817,894388441,216498608,-1,652846491,-1,501133984,720989369,981461415,475037993,680212099,-1,747818394,16410401,237764121,170100639,64682285,506931925,-1,628414845,-1,-1,798331664,-1,575527815,-1,58196113,528140661,25550359,588176180,-1,115908426,446174880,545250807,-1,685837765,742564748,320124615,706608938,731744635,-1,-1,111353511,951062758,817426242,989886218,-1,151314787,89249168,927721986,278326013,741221293,833731111,136178347,568192435,31502141,1632494,-1,-1,748942180,778610462,959231434,288060480,486342305,300667083,-1,-1,-1,-1,-1,-1,7801654,179245638,-1,447361828,476094004,949805982,904922597,960960890,439505121,453714654,-1,240657941,-1,263912547,607621981,-1,138798051,127931522,718538386,51437882,-1,355719794,118356287,480157081,110606285,162728244,928201416,-1,500785466,-1,894656375,-1,255551945,148186901,203998650,-1,-1,257998972,-1,999519311,-1,263563110,910070108,-1,53270077,201522494,752881232,470735976,79743275,454236775,591921682,224199829,707820136,53572776,-1,385818810,189121311,78631880,448596807,586009122,-1,-1,551226584,687298924,110423210,-1,112016112,-1,537482300,593567173,-1,195589506,-1,-1,861040038,331816886,122391287,657281662,-1,-1,700678909,565874968,78699557,342566272,-1,641190865,575684448,-1,985402103,308394556,635785222,647871750,719396324,-1,399314444,985015156,161102268,388798461,789615956,953719500,96985014,469839124,267787354,800476055,-1,-1,691472947,862175694,156579457,879389805,320391857,74423873,593603654,-1,609905031,781976990,316112556,809889629,805214348,561907176,944966548,229511040,467959172,797141571,782006012,-1,877525700,-1,13855434,542858878,966482079,387988141,-1,964637716,414193758,905378979,511488602,285168305,971945880,324930222,-1,-1,596383227,432272740,615508030,237927199,988016389,-1,-1,370977642,-1,623893734,-1,260951494,30010199,167715218,-1,439546111,226249875,995975817,810814181,970727318,822165032,-1,-1,-1,781591636,-1,545290217,173444019,-1,618132503,-1,-1,-1,-1,-1,185197836,600899588,-1,-1,619472706,883560382,628449827,385393275,489840177,-1,549760741,298173193,226908661,872944383,-1,412221372,296738881,54502604,388773570,-1,933633117,304110323,714312565,54653293,197601598,391279984,551389692,913533881,802716605,-1,621178836,184671013,198536661,-1,803461030,-1,549728269,942417424,235337680,452515351,830322102,474543927,360075678,257425098,-1,576499265,-1,875936835,646408571,-1,-1,436912987,526321606,556460252,269111259,408643359,-1,590433039,648569912,709642901,315424617,742057917,615115106,-1,959250872,-1,248884615,79631893,-1,-1,827989983,807346285,-1,-1,713848539,-1,401147118,-1,707199095,438461388,-1,87954382,-1,269927551,263470512,-1,599342486,902085490,-1,546723544,103496532,-1,519352318,-1,-1,-1,-1,236186091,195137751,83198493,-1,560874304,-1,600739742,779065274,139402582,386125533,-1,-1,-1,242126373,-1,750964555,396911520,-1,974027100,-1,-1,-1,-1,-1,-1,-1,393549591,502307124,-1,-1,966819566,24555698,888933401,607193568,670382397,-1,529611380,-1,408423407,-1,342706700,685391737,441840086,620333283,758930220,751934013,803683648,571186076,-1,415443299,219049227,975178702,371045603,335823377,142110723,339043655,654234342,362370344,-1,771940289,608602431,950162795,221513876,505663372,288828749,-1,988889924,-1,762173819,-1,507565583,707347640,929948094,-1,949360038,935471876,958962444,249349927,436865441,-1,-1,167523786,935425558,917819592,725887359,797362381,419133641,417979222,191848666,627994229,669737718,145354547,730245319,-1,513743494,611047719,463276171,-1,577381924,322908747,106751432,998635189,-1,129606500,517529144,925717401,798356096,363360237,273950633,-1,823144594,-1,973990360,406387013,-1,566355857,897788725,453881915,-1,484690671,199677012,654491206,584419750,260144351,-1,336172911,431110945,7345299,166865817,216039772,236435739,501491270,456367284,-1,345035493,191904627,773422791,638779039,-1,847957882,-1,204030876,976401909,788238495,510804569,606242594,781742034,983188446,725550567,743259259,251065419,-1,87157646,-1,801151479,308944555,-1,-1,436154268,913040130,831941343,-1,-1,27987024,491479350,184569556,-1,760119787,-1,385887533,145511201,452062065,892507489,-1,778159862,971027581,-1,64336905,682526642,117919328,-1,-1,94453947,-1,310375340,-1,543358537,809758906,-1,92427611,698570402,729930400,792465549,-1,612579293,259744959,-1,584097519,66856850,661178884,-1,134020627,-1,61342320,633881511,780526334,145769573,392872444,-1,-1,-1,672880149,956464856,-1,-1,896467877,132936164,914261554,249769487,-1,939270999,408172751,862117078,584877917,600867130,962969148,896652395,-1,17291336,351657956,742705324,-1,-1,930477887,585937837,899328871,239399338,-1,611926047,-1,459147555,-1,-1,104442315,678959453,564622238,99376353,560207568,986358698,174449347,-1,330625812,-1,391283919,-1,632283548,557139758,838975895,956605493,-1,-1,309518940,-1,212518189,551298067,-1,744954744,-1,545333949,-1,-1,931767592,-1,616652553,68199292,53291714,-1,-1,252196818,808808324,787282571,581228946,424432980,-1,518985543,-1,443849817,-1,686513230,-1,24526722,-1,23184956,875515849,470896644,630378438,-1,367289337,232286480,-1,-1,387957790,809220882,-1,-1,949847506,190607521,469937398,-1,493265583,-1,8201714,99748979,384096526,669711439,450271782,570925593,969346579,249541803,823326568,-1,967038310,-1,810223519,326034160,-1,210455480,-1,850677354,932949901,376789545,-1,230056895,122441496,-1,340702205,-1,663076579,380403591,585948453,581706049,606322768,-1,847770946,586067444,-1,457101188,413056094,-1,411387422,-1,484272687,72550434,531000140,93078079,516684121,828220242,95820231,513106695,6464951,937704511,293202022,613865124,102951870,869751720,-1,908967798,917633836,-1,646181268,-1,122232256,271709306,493530691,661745549,171807996,307419857,104549801,-1,-1,-1,578094422,326175230,373355453,464823133,835051302,-1,512655285,938373960,-1,363011074,13345796,148195694,982295626,304358623,248694630,859605030,678722770,-1,-1,884451508,79816457,-1,816432457,323658665,-1,85391256,-1,203062791,548915689,371477286,919002246,376559948,409278647,352907241,461702155,894991953,990983622,-1,-1,424611160,-1,-1,164257825,614100891,726935596,-1,143288617,165400596,754712763,609367661,617075981,-1,227332215,-1,976726449,-1,516613343,502247393,678377096,195650603,621089712,6884288,-1,535664535,816609215,964485906,398999320,378279838,585277622,120710439,443925170,881897479,839308617,620316083,334652508,-1,814658202,219325930,118928204,451849580,609159026,361447664,442213783,576017335,-1,139312660,67516295,787341545,-1,137659114,870663496,-1,-1,-1,452474693,856003571,925587847,-1,606791729,603203325,746999061,-1,320456431,-1,-1,-1,-1,742910611,96336698,-1,932469018,711106749,847134724,791782926,791949433,615109693,470481277,-1,-1,545080292,128321712,911155974,683595173,-1,-1,-1,426514760,190646130,258343724,898116722,408682159,23779306,820713214,49990232,872957799,-1,689619697,993710905,442399388,591646589,993424900,944631025,-1,-1,248917546,167065653,594167838,306196317,172582229,301853245,-1,453819443,632499914,409391255,776506191,190055848,378558716,-1,120809269,-1,-1,-1,227791321,295621010,287281814,562558722,174685847,-1,-1,843959386,558531389,277270402,-1,459318661,-1,470511127,-1,-1,815920983,209360382,605168533,888354339,-1,239110070,890838971,-1,-1,131602546,376906377,456563956,-1,898600678,354523403,-1,169364067,-1,208164692,299589926,-1,650814659,207194620,118901698,104801960,172106903,-1,-1,17062523,302712158,334487731,63311945,565957052,32139982,963448750,84917457,885526954,985812211,619084642,333252701,-1,104275783,-1,-1,-1,672574468,-1,965774642,199917543,-1,852918101,282837116,-1,-1,248208768,701745698,-1,267175086,-1,101355588,548588604,91415528,420044773,685932141,532496718,-1,642760342,962430275,669867386,-1,634087410,728149934,500820521,897936023,893300990,437571770,593573227,120942293,609567766,-1,-1,-1,-1,211112301,87454642,-1,70376118,384447763,323092367,-1,-1,766650377,-1,-1,62147088,-1,87809371,154629767,333435281,772132399,-1,414151612,-1,774331235,50909433,-1,720061847,566027242,271245725,131884187,876092483,445571940,455172372,-1,277313808,507504427,-1,650893502,760093999,-1,238151604,473066437,-1,725887588,-1,166496748,858634879,349573286,170950350,-1,-1,-1,-1,-1,142095549,621128526,12564647,485749427,-1,-1,862615952,592156375,-1,485140835,422790239,475235582,727010391,98871027,428857092,560494274,-1,-1,613279864,76201073,582879670,146010539,-1,601885784,921631950,338160610,114184214,-1,588139070,902252708,-1,-1,890942199,131373202,646086171,516456892,-1,762955082,-1,339950537,353361007,66786381,653807014,193022372,-1,191053645,-1,746240665,-1,905024603,471546097,154851845,295199819,-1,871285846,-1,879451435,155006047,646724287,892889692,-1,288569692,246785401,398521504,65115082,-1,347026835,43281007,984807666,471771636,-1,240827781,72106930,41199440,427420228,606701717,8603497,-1,226456325,441715268,357554345,-1,141426273,193313684,23107481,355812402,943194245,277423415,838121083,553908678,830080413,85629946,271479834,11325829,100388119,359636014,-1,-1,-1,819530710,547722796,42157066,732058343,404325824,260852586,-1,-1,897927597,449533254,905575348,-1,831279869,168892452,97745446,-1,593156943,-1,623415021,211814050,-1,-1,654777596,481758790,730974124,662702213,-1,310862694,-1,886900384,-1,18227283,825267367,918408701,250143887,81682706,933342760,654629316,339948447,-1,278305493,292895854,-1,909342048,103772753,-1,386301258,8775298,-1,-1,437934721,668641071,-1,816998829,184926796,221531357,-1,284898980,534236342,851256572,372475205,-1,738054516,178438764,681123007,346944447,-1,68932155,609981105,606515293,616359578,-1,666351496,16909533,-1,171415128,706324669,-1,-1,796152504,955446024,-1,994593700,-1,778961304,729826266,223310394,-1,738289114,494359446,146448764,-1,446735151,232549839,798562406,222910121,523433259,815750618,935098087,8686536,365559941,44990071,592573838,-1,786863589,252438814,-1,-1,924593130,23802486,-1,-1,-1,442080207,699442562,874797152,977110248,135940635,17011122,-1,662728086,-1,778346660,326592035,459826824,527073775,406967719,47990735,402092513,-1,62290633,128265557,-1,-1,753791297,988499508,44510918,733450210,573350631,-1,314271534,645818912,724004558,-1,-1,-1,744729872,158469759,5765081,573408894,-1,-1,-1,192909566,593535323,-1,950266968,-1,-1,745786546,985109073,-1,7786532,945958713,556664510,630649784,-1,358049760,455455513,155066946,325451741,-1,761472089,749641919,-1,857130777,-1,142229210,568982166,-1,883640620,178397185,-1,142419442,601379401,934520272,-1,928523912,669402208,662365484,-1,-1,75461135,16998488,350809925,392836211,-1,-1,509621137,265631424,-1,469234429,-1,-1,82851876,555026097,563350064,382193125,122799911,935607742,86739896,418121644,937257919,-1,-1,-1,473611802,406994074,9060414,825629899,159628679,671788700,588404749,424588916,686519080,-1,270111564,511350105,592043669,861204332,831718750,-1,467599157,-1,-1,50719766,918872173,414670379,595284294,482713224,99175047,-1,-1,304347857,874968415,953553668,454196652,780861672,967190515,-1,318342294,257077290,-1,798481143,790583584,394339625,803898962,369246454,550087254,-1,575134400,678654670,582106688,-1,-1,365136235,331478783,37916654,-1,-1,441125646,-1,399256410,319847604,913886819,986460998,193066196,-1,702171718,727447859,-1,-1,101780814,392286290,976861231,262638044,-1,233887950,783982544,-1,923743874,723285237,792110485,395226992,372984834,314308813,781647291,-1,238546222,598846717,718501231,580277205,241073896,863994878,-1,708577890,-1,546678684,-1,976016205,291884534,832913094,591628411,180313161,312313999,783014195,150317416,-1,872094695,-1,330398502,63362989,938890513,396366778,271654501,757806077,63846123,-1,408674698,888441456,71127898,762454941,358678761,86123677,708428060,353201814,185935360,-1,-1,544570851,-1,975502109,120354932,-1,-1,842429389,443626646,722247976,-1,377271364,410025110,623307516,187377214,20675250,913257540,536646569,109464704,626338237,701322471,-1,564206071,722480288,847703875,392691409,776912201,20110838,341392031,111424668,72510148,867875035,-1,393960826,552809081,729910625,625874914,-1,564656087,839816958,829017153,-1,803534481,201099639,-1,-1,90970491,-1,-1,498844707,198890983,-1,42046514,290027186,387345843,133832417,629104604,308952140,604631495,17979299,269399311,952399998,143320279,662608583,352626154,649144785,985177566,554799353,77289546,389037647,-1,-1,735101594,261276039,102293244,928588535,49503010,420594316,715579432,-1,945074875,100176360,441599275,893074643,569394067,661982843,286599420,490838546,122960181,306042896,102459972,972676528,941388427,475442068,-1,973874552,421899851,366902534,-1,-1,317929092,761841876,192602965,-1,485294420,-1,648302685,614090966,874565050,183748178,211218878,784429595,342152599,-1,-1,422590564,-1,857908278,-1,132084620,-1,457879179,233797527,819328656,189695659,161267218,711369594,910169747,-1,233593577,105189742,138548680,151937720,-1,811422041,958470396,960132880,533110159,407149058,331740417,37941733,-1,392464032,465319164,-1,155806843,383289992,-1,887163056,246785671,663528794,662955467,-1,904899974,96907314,539361062,666715277,943774046,-1,207547189,-1,26754884,-1,-1,719192022,-1,821254818,200800787,-1,-1,333974323,286829049,-1,351912159,795948223,-1,612957903,-1,63975540,297619855,747528809,-1,388686031,49950706,-1,625992904,383142542,14807194,415216400,-1,-1,510812953,429519294,860767633,-1,256699484,385030785,634344562,61678256,-1,790112350,839355956,-1,104675634,752629319,556657185,-1,110329095,152553616,265492945,-1,261606232,207613638,552717235,885693208,343991019,439752858,375835822,259638267,434388310,984039562,702734298,358805141,350966343,-1,-1,523457903,901607910,-1,316922075,641571349,-1,425876414,788065383,317942160,-1,994807683,242417287,525288656,-1,415217992,440047620,448746167,-1,877437704,590590360,582999058,440809559,251146514,831212065,223732278,-1,507005596,957037303,582722099,125820860,83531518,582020996,-1,940859043,661809266,872025631,492466310,562419246,9527792,566189826,77034407,-1,978489635,172192771,-1,570860966,25466539,-1,-1,78889242,296119019,355329104,389019262,-1,-1,-1,-1,879753989,-1,645561182,79234633,227602183,-1,759477114,-1,-1,627617596,162572926,40748001,955577649,597726882,237298485,-1,-1,-1,890636693,807674077,498640439,683409036,683373716,183415886,100187039,237337598,-1,-1,266421773,729818667,-1,988701570,512143274,191889073,-1,-1,967111997,647582447,642780008,-1,-1,-1,92616800,-1,416701643,225149227,232498122,111674620,877750448,461811879,-1,759037408,583684473,407320374,590823105,-1,669272727,-1,570247912,990866565,-1,260405545,994182444,-1,392613189,-1,-1,417618698,-1,10231289,550582670,-1,-1,-1,853218836,846753190,-1,752308583,315314498,225482058,884442968,-1,341670180,240324413,-1,-1,96058256,829216387,59042277,360468168,158273267,-1,670449354,606082934,-1,250446807,361502863,-1,443556175,-1,315545586,599724766,685805279,809199340,927487725,347926301,513884450,-1,226984385,157151698,114124253,-1,-1,-1,-1,484813865,510213540,-1,303147345,-1,957398760,909014898,844402777,841086461,-1,215699375,907187546,-1,894711921,81493636,439031816,-1,-1,377796136,-1,526192058,511805496,-1,-1,221341715,237261171,358654352,-1,-1,-1,726577600,824335439,990688548,600429303,-1,711492203,24981901,-1,-1,437231889,30132120,506698887,439893060,-1,10185732,746874127,859964646,-1,595069382,907484404,768703181,197404581,460055712,759582525,20966058,927917484,752674277,338550683,329983527,384507706,807420881,-1,-1,-1,382697601,430243567,70648744,132543677,875161,324939204,575565325,-1,581844594,55710925,-1,82278722,497440470,700544874,654096676,-1,329504371,657510327,517150368,210950805,717446216,-1,447966091,964806808,-1,488428577,806164775,26004108,-1,76526608,-1,249141461,-1,-1,-1,95370778,-1,829857515,-1,183407585,-1,-1,-1,578914857,130330619,-1,247421034,402838739,161757413,415000598,272106737,55790268,250029138,959094505,-1,634137876,784622168,290010803,950531606,29310965,40583365,-1,950222028,-1,-1,952182629,-1,839394449,183986341,424552948,-1,328625616,291491710,263260531,304226011,-1,-1,-1,203483105,916234274,-1,-1,-1,488496576,-1,861414040,481353747,-1,-1,855211458,472172400,890055262,813826947,428234362,-1,437686046,894868833,-1,-1,688781800,93394378,339020498,904842418,196488483,713188860,834510671,325660924,355047482,930211796,735455282,141369620,516204099,-1,774104455,-1,426001032,955801530,287118614,-1,55841998,948254425,383664541,881198322,-1,709870654,491834931,373369691,44879762,272915906,-1,-1,-1,-1,369318554,-1,181587953,-1,314934552,803527200,934747248,279629345,211224708,-1,661902785,500326698,-1,569818142,-1,-1,-1,878824557,921429527,-1,467037541,293237891,670656291,-1,416278266,-1,-1,-1,-1,178668408,619771116,384129476,164602837,289513676,-1,372531969,-1,363059306,272251387,392914426,506425649,279254545,452328920,406674120,172475456,-1,677284634,-1,-1,-1,90264480,849332616,-1,551734451,168073732,-1,-1,-1,-1,39842570,-1,990178296,916515565,-1,562319046,-1,502428256,586668962,-1,-1,-1,897572756,-1,-1,626176617,-1,998376175,-1,273667522,383481637,-1,558064845,763420836,-1,713833086,762827031,-1,218502063,424836543,-1,-1,709931263,201679478,-1,258986674,-1,-1,-1,83388249,-1,-1,-1,460854594,-1,76843285,-1,552678201,-1,43000672,-1,996369591,-1,609554594,-1,658755771,-1,37290481,-1,-1,829681698,208258867,-1,394656826,-1,-1,-1,932757937,-1,472185253,761236437,155216956,497029398,69823709,-1,170707427,148504599,709606172,285222331,768727621,276965582,586976823,-1,-1,816145603,895208478,142171888,908055584,-1,776165409,146215491,606812281,228620136,685927643,161914626,996530820,839467795,347580680,70800290,12337509,-1,390576290,310020844,807712521,810546461,713361632,592418243,528910340,869382999,302238572,361397270,949903741,-1,687597409,15608634,929040186,37276597,142679981,164252674,-1,-1,-1,-1,86204364,169743192,-1,914410242,746362161,805147967,187189618,285961236,613440535,928933739,251326291,186557031,-1,749972933,857860990,119304300,593665344,142898650,616134256,109349007,-1,83447470,43929410,-1,898020437,-1,869473464,-1,994268160,74582320,120516849,895222160,895839979,-1,-1,-1,298331197,335864769,-1,775725130,-1,325859836,-1,246841079,-1,751093367,564539344,-1,399470510,576875650,35722588,586032789,944047837,-1,-1,103939131,786190842,148017112,981576933,836861585,833059568,-1,20124196,673092035,586640913,-1,573202726,740796175,109010218,142513748,230907227,84683177,437788678,486898290,699818083,151789612,-1,-1,212619862,664347729,494441731,764969780,-1,729637430,572396371,527092344,174170020,-1,796561497,196965671,-1,661915347,19349015,537918197,906893481,-1,12327001,351445086,265217899,421545501,829668278,-1,154951180,626342254,378663574,399012471,-1,216899296,-1,151268037,-1,955688918,158715659,740459323,484531587,858360409,-1,405617554,470498599,21884385,892523351,359685322,938624523,-1,609436496,-1,-1,848766754,702488198,76476381,-1,838960331,609964893,7949160,-1,297159735,812574099,965454883,498494358,-1,-1,198891092,-1,752207515,274370159,296500990,454311447,216260603,-1,-1,546840053,680492513,-1,872477753,-1,-1,-1,931438647,-1,333526943,-1,75653477,202640162,-1,813394979,-1,923448030,987919142,825838260,-1,-1,-1,427461178,454568937,895195822,-1,-1,305452659,137249672,541943299,243012916,937951921,984507422,79895488,226735396,-1,639604849,688907913,647785963,748354279,400913577,408274126,-1,585415729,-1,162098908,262567895,610367611,360030873,-1,-1,569481055,327142396,169587332,-1,-1,157873740,955122057,141719391,-1,-1,825786698,892470621,542607228,963740798,757427801,226998700,348959560,-1,530158976,474521120,247572428,552628213,130750964,437627054,168255271,57589399,758637735,-1,-1,647623585,-1,-1,-1,-1,-1,-1,704413135,512367561,80571036,-1,809938648,268807942,-1,28438646,455716352,963622709,-1,972951620,314420555,708680478,-1,365376661,-1,-1,560620981,211670137,-1,973567540,395775929,143764598,299666632,761871331,-1,-1,248559213,849163121,151148514,990769294,206738860,-1,880144615,777447405,-1,267242547,368322098,-1,132243223,292110992,292290,174728851,627167636,284937779,228498006,888427494,959398496,726555582,445601208,-1,949758357,549099906,-1,755723293,681794553,664005496,-1,-1,-1,-1,441663744,-1,316243533,405434013,423878083,506195134,252900291,578897503,916929221,798408239,120142653,-1,-1,-1,-1,891003000,-1,628355916,-1,853837593,664641897,-1,307111372,466076328,934032224,-1,-1,501263333,519170811,809589707,-1,525172537,166902018,869117120,95030875,796887801,423433106,516749220,901801878,-1,799100850,668459892,414728593,714358890,-1,539214430,-1,564362881,457701756,-1,843610641,-1,573304185,164152644,107599089,751534857,126809177,141524364,440329426,625148316,-1,358202246,39234934,976066239,537795044,579753265,525098074,-1,42747599,950103199,6050871,230894424,606025346,974132701,748189203,819443223,-1,891387239,-1,139875681,70028190,-1,635426083,-1,-1,846968109,473806724,199831229,-1,85653428,225636100,332162892,97087555,341528845,75858065,82555275,664149132,957711381,999925806,922379929,200262890,-1,-1,-1,643012054,991246141,-1,-1,321197177,-1,845176693,893395203,290016732,-1,149163437,-1,-1,494011796,-1,146783790,278689479,-1,18107223,-1,-1,743102895,335756645,273718689,419589193,-1,342106287,575032746,390051434,-1,-1,-1,304543623,-1,660143147,514762887,-1,73259943,948089883,399677595,246909779,613346858,106272397,934211216,450813802,-1,21255977,-1,-1,349157685,774343711,195716947,300502417,-1,279257477,759272789,125707120,-1,4903972,80696461,528156508,-1,94024343,-1,-1,663912902,680951203,-1,766409952,322247846,-1,9651788,500059111,731469404,423679319,55669366,-1,776870868,-1,970942301,-1,730965037,181697482,956385795,205411450,431300637,290422655,676982483,282373403,956256708,363101593,-1,615273971,71277691,462846052,-1,-1,490541769,548260814,877422566,202173511,381382576,-1,924843824,463645346,-1,-1,345428695,48677760,474004901,485127862,890778582,910244775,-1,490395259,540298280,211166609,-1,755799479,-1,287746574,-1,124635705,285686681,542415223,801132232,327237139,-1,664280287,-1,959240548,479131401,657754884,-1,650933954,338384705,-1,4023285,-1,-1,156199835,239360529,-1,88172572,467514686,834174419,-1,-1,989112999,760396972,407128962,-1,893853925,411746735,649033508,-1,-1,249125673,617869927,-1,691492018,829376024,-1,663765085,180558306,367133140,510698029,48642378,864999081,-1,-1,502087644,627721593,44988081,902584765,714846359,949273035,774861035,505511887,856507960,-1,880374730,-1,412779425,-1,943740962,-1,89469744,936784943,30459177,312487211,243880997,304780770,366118640,452017005,-1,972010089,156348675,801118084,-1,-1,-1,724165623,144259418,80520751,192936998,445885788,-1,763413552,-1,547853230,570010187,-1,454004314,263989727,-1,473575676,-1,933379079,198336767,-1,840512325,985489768,567411627,-1,-1,146521438,664633886,-1,877757624,694566083,319852424,285451859,146763265,731736295,-1,719888906,722704382,505500298,458886815,-1,791423512,445423196,324843664,-1,-1,875389607,-1,66991212,-1,573096702,-1,705949481,-1,336851107,571496914,-1,212766922,-1,61167416,324236974,680321676,90365937,782234925,330381233,798393042,424725248,261608710,269725578,-1,434933613,-1,995448923,939990315,572468152,333416042,214084146,-1,-1,298238495,421809746,323078406,557533399,-1,826687126,736042988,112170579,907063201,103471560,798269857,121624413,-1,-1,840686331,321679058,-1,684237368,672287782,259856289,951793437,672720219,659891105,677241713,383241595,216422284,57267398,572091825,-1,-1,-1,766068666,492651674,672777367,640872695,728631196,579360885,652082160,-1,907665184,159455442,-1,788585766,344652980,586688730,390553120,470950466,671477783,466029132,816003952,206654934,-1,514897070,671731608,782913935,717238125,923523667,323071486,896767400,688593367,-1,-1,643206402,-1,-1,491640860,-1,-1,640122170,348691922,-1,881614240,144588185,825198661,-1,29605290,965017294,178660110,277693804,6106,-1,332070726,961525892,882715213,910780726,443514411,-1,88769965,-1,446346237,290095437,67820366,-1,-1,632363530,920190415,-1,565152295,810052418,852143895,443099437,208333794,703370266,205250863,-1,823887363,365998507,332828046,-1,-1,-1,477877910,-1,954259031,804424435,429580022,-1,696083998,645365579,806488866,844746908,705147064,68384179,-1,743267773,-1,264236279,918718792,754851028,-1,740518402,-1,-1,-1,-1,472593308,93403209,678466641,-1,636556017,-1,-1,352994213,723788949,-1,206919482,61216773,-1,-1,755905476,682305616,-1,-1,313024290,-1,650145536,-1,106105209,894383346,780804487,781652832,-1,95563189,87512683,180880502,264827869,-1,406246991,652844279,235729403,752909555,385076598,298747456,958072825,490519014,-1,-1,-1,347103594,497761621,641303969,544468636,93837210,131168544,253943738,379779247,762004423,-1,-1,-1,890788586,-1,-1,-1,-1,-1,912887475,-1,210642713,-1,-1,377120548,327255695,-1,-1,710118448,801451314,-1,174305358,619967144,239879797,-1,318756991,-1,164542559,-1,302490465,376894259,310587825,-1,165915694,391236909,505323780,102493426,-1,606956158,-1,213600276,167117075,-1,209307119,-1,-1,444113986,-1,-1,915261412,428942779,502329343,805287618,-1,19273082,716266384,-1,133947195,239025226,-1,714642455,300954357,212521382,397707917,-1,-1,681232143,752376889,658836698,239596091,-1,899964336,824725334,-1,448058198,-1,853568222,-1,161106459,933073959,946565363,-1,692876141,-1,995820095,-1,493401966,263849471,817811213,577364179,400032918,347133145,174426132,632454569,755721118,-1,475532852,-1,765496061,-1,602172879,-1,882730262,442307162,-1,-1,120371060,639107012,-1,913993146,522259323,-1,-1,38934846,-1,827674969,313374412,967407793,-1,631834419,102457246,92816863,896499664,131781773,310642000,120434448,-1,451062249,-1,738168689,391841794,737696795,537863268,596978271,848356414,-1,101134984,173784098,-1,-1,307296361,599323790,-1,-1,996565688,746585735,208698808,261559005,920851102,-1,-1,325614255,-1,810089145,-1,548210817,847239766,-1,402506902,709082624,-1,622505563,944053420,-1,212818436,-1,774529060,-1,-1,571027280,149915925,459554468,-1,226558117,-1,561537964,394999425,416263148,-1,409334748,-1,281976191,-1,552331453,-1,-1,75000247,-1,252386512,-1,-1,351227872,-1,412225914,-1,666706000,639004210,79947418,-1,247466251,206175286,597109845,288829466,35785075,566605873,-1,-1,-1,803862733,490999569,568667599,-1,-1,19784755,-1,944664564,28781692,449328728,649796699,104637533,71346571,-1,195502990,-1,-1,962190462,-1,113346078,967334100,784837505,838353843,144128900,837128747,-1,774970245,-1,606532034,282912348,183502720,811204913,324429034,-1,107648158,214099111,-1,698597944,-1,-1,2118466,661713661,342073406,-1,337040346,532420873,-1,212080460,565605277,10832481,-1,828273469,-1,-1,728447010,7391017,889861123,-1,197300687,467052918,-1,288773203,-1,885984176,-1,501859067,969201229,609915391,-1,189794347,861201702,690851547,125789320,379312834,563878162,495729705,-1,423267177,530437838,934339067,924419462,253692304,391081858,473658262,164526907,-1,259755693,134847617,-1,-1,-1,-1,-1,489532844,249716764,286299736,587565016,270569495,614849523,-1,807235468,-1,926571844,388078090,-1,-1,62901278,361844422,971301548,211587975,918994041,545312038,378037115,-1,996667,674084155,-1,588044266,-1,575827705,550121870,577992780,468452715,-1,860623111,-1,796771056,793007399,-1,273795011,-1,327187295,-1,717355504,490839294,-1,464967220,541002230,596034410,110156154,-1,-1,430896414,-1,685913163,180677609,-1,868146535,39822500,-1,-1,-1,969860461,-1,224973376,-1,-1,82087162,875380372,452792155,-1,241894690,721405502,55447273,428532827,446773927,57678223,458204171,755937480,-1,121731327,661348117,628167334,-1,835006939,569070348,432000349,474859351,180205163,471621764,-1,226242098,-1,-1,-1,440041894,946964423,890152187,672409498,-1,375499085,699023867,498638834,609626812,924015100,885562423,895224585,901240987,-1,353996936,-1,345680811,371617306,396472395,733046565,963732882,768838167,119427095,198999035,305612067,768356284,-1,-1,288241440,689377133,-1,686205275,-1,377717215,-1,-1,983879836,55239263,321294768,-1,619559423,-1,184592606,35514380,236109028,678409205,-1,-1,-1,-1,870897289,590496121,751696567,863781390,296808109,127272259,517479409,417096674,-1,255776819,507180966,-1,86472754,20826522,306620495,333186921,263799757,173757370,376437191,800153977,-1,-1,137701379,-1,710984424,363643616,927755798,204363140,602556598,71857333,329653626,-1,779229573,417182601,473011594,-1,-1,-1,384509822,956562295,683280489,823293068,963454426,-1,229764839,155511972,-1,130315895,639990232,-1,-1,357470947,966643450,-1,-1,-1,577894706,456526099,226794740,-1,493946051,59907796,983875928,399640517,452427851,-1,324413662,-1,150136716,-1,-1,820757055,806311968,-1,546548233,555467593,177274125,-1,-1,285790245,-1,440864442,354800304,11361703,335889338,247346468,-1,61192979,-1,699197549,-1,-1,-1,-1,205460142,119749832,137073423,931259379,522565708,755747248,265712413,408558615,-1,-1,-1,366887789,461627664,284105729,262712099,961317979,554073174,837014191,898026267,387763452,399150374,333000450,537133723,521483187,250227012,47930254,-1,-1,342616553,-1,715614130,-1,-1,587230825,529207709,70267631,299968570,587622065,536324019,941920026,259680561,-1,727470842,-1,620605942,230886492,948841597,-1,69582045,494684481,-1,549918620,-1,148089131,696393924,-1,740624582,938091948,833977617,-1,639960438,266312947,-1,-1,799804855,163754486,-1,639258679,52462237,977213314,-1,994141330,222274134,610437050,723080001,-1,963620948,-1,241252276,359771338,717175237,-1,204983738,-1,-1,-1,736730010,376625197,560256860,869898285,-1,-1,506562076,526650629,-1,393536743,742308660,392837073,308416437,413038631,144074645,25438096,-1,691372887,967372686,-1,200722632,378870340,-1,315447236,249145057,632846131,145165865,887864043,111379729,573328165,-1,629165650,-1,258859066,-1,283747684,407532389,-1,936611415,845873509,42543686,491804810,516032106,536577836,-1,494470129,596985259,-1,-1,-1,-1,-1,775064716,157185744,501891021,787512767,703260079,483556316,482053609,132274171,600127021,-1,-1,280506111,684472118,-1,290222281,-1,85596726,-1,694374445,964701157,293115046,336793879,-1,-1,452905649,-1,985816416,799919316,221132474,158832267,140094717,14440290,562384814,387349828,399155850,-1,-1,406749286,-1,-1,404485320,-1,390099664,656746223,-1,-1,-1,904024832,904970051,318461829,689002393,789423660,940607518,677436424,523821197,673436786,728585955,730183004,294034673,341407566,879771071,-1,21504029,128963042,-1,402185548,710812568,645764391,347755451,-1,-1,-1,975063138,343920287,103876487,-1,179669991,980166866,997169465,519051274,687195447,-1,747004990,955070425,516096583,807602941,43827029,834790477,-1,780747805,-1,260679594,755121982,33115896,944831760,177553650,-1,-1,373595819,-1,755621424,901772822,493690918,198653412,253939092,375337549,-1,-1,43516518,205812079,-1,-1,262344510,893260312,-1,135249416,830226220,-1,961316495,848561908,99320969,424578620,505322280,804502040,10951179,781370908,-1,832402249,740913221,102905520,-1,863410535,-1,834948126,935705283,882794720,51278023,-1,14717008,440369282,444214404,402665350,-1,-1,-1,246164775,516031907,508576675,101983924,-1,507034249,410453594,274408166,231219315,292837769,997943241,-1,-1,688957173,718177113,-1,256099065,908198895,61255187,934579510,166335488,986693988,-1,351166196,531387401,568222888,904291612,143680695,-1,834121647,734854090,467885379,145605196,504659138,301533469,203729679,688189693,168806135,631215909,24506492,-1,550841851,376392477,239695839,251128128,746255293,945893984,299041197,990911043,-1,39471331,915435277,18610947,-1,806003158,267491149,501697406,453472503,312269131,811192795,889755977,158279130,292092712,18581145,11365107,-1,476680239,-1,-1,402146002,602073358,432423905,-1,885555816,-1,789491031,794487761,824579897,-1,780206942,243974413,271608751,932964428,255214156,-1,-1,435692290,866553240,549972040,102442710,-1,737754634,-1,867514659,198008798,430138538,403567411,579373149,8377091,-1,616219752,-1,-1,134503815,672221273,139206601,463539338,449418633,-1,-1,867070754,234194948,773775036,672507616,695805295,318840880,-1,-1,-1,879030095,-1,304001413,724105657,55496047,-1,-1,-1,565941881,568739606,955795301,879715702,373488269,812020562,962368107,302991906,690222206,656773108,602238927,86868480,806218697,-1,-1,-1,-1,820695186,84528960,401418047,-1,579066496,869725643,789428336,272617895,-1,-1,624378808,286834098,187413552,27563898,-1,687695162,-1,855452139,522924716,394256372,982018735,662145669,-1,-1,-1,235939038,626155373,109121489,-1,202113561,281484437,-1,596901976,897422854,235099398,178722932,790881264,502039429,699444937,-1,483730685,870220955,86453386,-1,-1,956106072,-1,-1,797314766,918887246,596654625,961612250,-1,841187843,895758627,97358238,932524056,421822381,468271617,456064940,211723180,580818125,956727375,-1,-1,474300373,-1,127182671,538623147,655670763,-1,-1,524368755,926503507,-1,-1,-1,301729519,943498437,-1,-1,69514548,334869615,-1,-1,-1,913297153,-1,-1,302934488,640299726,811373791,-1,954204674,445104640,959483591,-1,629154620,-1,-1,164205354,35482737,728253508,350168603,128935938,-1,881904123,490858813,-1,282242087,-1,-1,770330689,-1,693103980,423387588,239560913,722042105,-1,657242429,81517546,-1,-1,580445954,-1,880024050,222395347,-1,287475063,482381164,819047549,747359498,-1,622718346,-1,-1,799543803,-1,812033404,361163041,312221780,263621608,659094465,-1,13688541,-1,38479918,-1,-1,60193920,988372192,225721817,561706557,9248445,-1,321307659,-1,918851553,701191211,325262304,690408817,-1,-1,501801223,809073066,81479935,507072775,-1,140446483,716805938,230773158,387029011,456552152,207391561,998208082,4872196,-1,-1,268672105,620452104,-1,-1,-1,790287508,436925743,892256410,360431959,-1,813386135,923895820,-1,-1,-1,-1,143775685,-1,847826590,69720792,383285875,532239710,997946904,816399990,589138808,696373084,481533122,923441380,-1,-1,-1,805493877,429403858,154018608,-1,-1,-1,903453230,62578924,339770912,829132505,976432921,987385144,16620343,724114770,-1,714924286,643806735,16700034,115452805,490446290,301058058,-1,745534960,-1,-1,173627972,759426914,473123518,581998326,772611591,-1,607429971,-1,-1,97597838,555900436,326719432,662931084,226682776,-1,389789151,646029493,-1,369049287,843839191,-1,971828814,662260261,-1,31434116,708700466,195136542,425516097,-1,-1,-1,630136591,94677727,614555686,728141828,549515496,823964527,568585115,881041587,859316327,606333958,829582911,480322058,-1,902467931,556320643,-1,328525472,915583728,423655469,-1,281320220,673829228,403973291,-1,-1,-1,341271442,-1,546110180,853855431,800855824,58106232,-1,-1,709841585,189902429,-1,707775519,471221933,-1,11147259,209190466,760542321,-1,-1,-1,232426480,335298320,345022507,546439573,-1,637216266,706063183,312975550,984500096,960369368,272111190,478683526,930625913,93790666,196154381,119423700,27792205,-1,-1,397593104,600320575,408675974,-1,769567154,655855720,459758363,155210110,820219866,-1,103811014,59499619,271346168,332505354,576057912,75626883,194028396,911322217,-1,35473742,-1,521179462,838088085,87297363,781637222,-1,310504915,-1,8541635,312898358,223694080,-1,628379783,-1,929781784,416673239,909498172,433054097,-1,877563689,360838981,348928336,661474471,319726226,897356186,8370613,-1,910420124,714849387,-1,555553344,-1,-1,44335523,89275888,398165285,717225859,116453587,25901773,408063782,610919772,694024028,840212901,73044923,786711378,615172676,-1,261152828,834882685,807056524,-1,-1,-1,543304619,-1,843814764,652732903,736688084,-1,495708159,391781795,747224825,764402197,182217177,112032795,-1,536963245,620265781,443791920,826557514,715030648,118815955,346249542,165481695,-1,-1,602084704,330539161,39797554,718086639,372748260,-1,-1,398494767,873441354,-1,626861068,826321382,-1,2791813,837560701,-1,-1,-1,792184149,-1,267310349,954335850,974552784,289668157,734888686,221221470,746020454,820972420,-1,-1,671681719,-1,-1,21675192,-1,-1,902713640,-1,-1,992400968,206413405,585377923,-1,-1,-1,358282223,386661604,468726730,595708768,-1,96816203,482898719,-1,466266167,563901128,717212163,473238027,-1,587105331,553746805,878781803,661190252,-1,850413024,136692319,-1,-1,659412666,383178823,634141559,952145572,381669873,-1,-1,27447759,174749488,-1,-1,-1,17896659,584568418,592966997,499288786,-1,452844509,-1,-1,768026957,78792102,593797240,-1,435364892,134817665,-1,958614131,-1,-1,-1,30665059,596957705,987463588,-1,614656345,732373647,-1,188480351,62700765,505847592,11731875,-1,169560349,66879616,807251490,182874508,-1,883678030,612256927,359375148,123718374,-1,898676284,-1,232955899,115180182,-1,-1,328577228,889911646,372877900,656996967,381608985,29187817,-1,735212459,415122273,738089151,839579709,949035300,295875238,182959178,530023177,451632620,499439492,176413068,341428308,150890542,458946220,-1,-1,-1,867295132,404698984,492631843,677334748,98534090,839114776,-1,914134438,-1,936701594,176314863,818959399,21325649,925654345,392091728,955283556,707395421,-1,355691125,978160902,517375355,729664269,222941820,675105412,606830412,-1,107617914,219357138,873569310,773072896,268239222,976935734,996148944,826068595,674685332,701498981,-1,694257904,519461373,52374828,336478311,268248314,326292966,910704023,489948051,90233638,441024326,879915702,790462032,316786685,-1,125531834,824202870,934022769,-1,-1,-1,343526959,440088259,572430341,48145751,341068426,-1,-1,543858747,434631628,-1,310341473,605278433,-1,953319055,553670650,-1,-1,199934294,357820270,865810795,984404352,561736854,391548913,90576368,725023205,12320276,-1,819936460,317176759,-1,574695918,583856670,337123468,-1,-1,547231843,-1,-1,918616142,820438760,156931573,681416799,147396937,586250733,220542736,-1,-1,639791508,662183241,-1,467803746,152987626,955215245,141648143,938510446,974197264,94570637,991325784,-1,454191726,411186011,-1,465367575,347080288,-1,432611895,531909358,-1,290546185,-1,665872378,283306603,-1,322467410,979679932,-1,-1,115048684,-1,473782132,273428825,525335621,222163901,40565044,201646912,436772393,-1,-1,805269362,164692873,651746845,312078266,-1,-1,-1,-1,-1,682459411,311402327,776124635,429261802,577759952,-1,-1,-1,-1,456549093,-1,22058410,-1,-1,393595958,661234040,534747120,868095190,370961477,-1,5947995,774604923,896557090,163675605,318206137,884976639,-1,-1,912343375,582133445,-1,508117484,547658634,-1,560304367,464779838,457278694,540483156,146538474,-1,166997775,99927406,292173888,830672381,552655527,-1,321618331,-1,-1,662235218,429503140,204815982,251302933,902614144,-1,709900812,853948400,-1,518364594,387770629,227583170,-1,-1,206251820,197377129,735325644,575609416,888536509,666803248,287273101,722464039,170858065,689950387,-1,88073280,-1,-1,450429190,-1,722282212,550385292,319485023,810538037,828846291,573855321,58617309,-1,425544182,877937676,987142742,403923427,718064078,747784550,754185130,-1,425143764,-1,-1,935362677,-1,67887793,302939348,-1,-1,55338833,-1,673170696,78874569,548260760,332605907,738018314,466130225,560808088,606941561,482123226,274542691,341793180,466503815,105569440,-1,-1,795902137,-1,-1,794487242,876081982,106329115,-1,937747592,605923223,261307226,860034646,55167986,216204085,-1,620150812,398135971,443103893,-1,823016833,-1,-1,-1,-1,820346350,915352003,359568924,339572165,233147084,-1,-1,429865711,51305330,925786902,-1,994542202,354577998,-1,-1,217841808,765097682,466555008,580632682,875971942,48254498,-1,58981022,820326368,-1,657478004,459569509,272011138,95253777,820931550,923780258,405821027,-1,-1,304476223,308801123,-1,172258338,151551880,612817248,453106565,620073110,234556774,617569267,-1,638096972,107742836,652324068,345068048,302739661,-1,490193217,43512421,67675813,-1,561267853,-1,-1,473779597,-1,613719556,220243339,-1,710854235,-1,282389867,35526815,303860936,818696147,329234810,226725175,147814136,969502489,-1,659942433,-1,-1,-1,325168771,-1,-1,-1,403262272,344589019,-1,-1,484539910,-1,-1,987395291,990153148,-1,963508475,87778314,166400004,193067122,917309401,673523834,669904613,77282399,83353863,938063729,542396370,191190139,132248695,-1,-1,325245823,854572463,763278961,765906637,252097215,-1,802813527,439739611,737125501,-1,-1,902069112,781282341,405740618,-1,-1,-1,-1,165733698,-1,769726300,187561651,-1,-1,754755233,-1,974246305,-1,526148823,569463189,437086983,-1,720658252,197326333,-1,-1,325494443,116476882,150794799,47566126,751139264,-1,-1,853906574,558606769,-1,-1,677369776,309835571,97622394,485454776,287884031,-1,80870804,705054089,521510271,299032285,786864779,596050175,61107018,-1,156935942,503193779,246828587,687882879,405566685,-1,816518713,519623726,-1,554787106,788244702,10780779,937496977,480967712,-1,-1,-1,494579979,891650420,355500845,636377356,-1,210814313,248355218,-1,-1,860942745,839643295,56392533,-1,-1,789744552,508012260,253531725,-1,-1,157176838,-1,-1,287448239,14121935,-1,131439068,788236886,379110769,121547072,76112502,82526928,-1,-1,-1,969714166,499980107,-1,614059254,-1,187578503,-1,595206853,867619745,781518852,126889744,534717497,-1,-1,696959689,643205453,637520053,994207676,798349560,221406611,18975276,344962451,355125279,-1,323520341,869782287,465787875,373764654,390553011,-1,-1,971260600,415133631,115774855,508693714,245386059,-1,579275795,455651802,-1,-1,-1,607950028,-1,-1,775574200,-1,-1,687543031,-1,146673675,483324891,966592110,603416509,110994968,442585875,-1,424203040,-1,537272482,306548114,763091413,-1,531121203,890793801,368936012,-1,-1,244299609,717103908,-1,-1,-1,436217735,77284967,476964126,23142694,-1,545411945,123323286,452354651,622140529,782294928,153523576,221742542,715339968,-1,761200866,95389383,834100612,340653547,-1,185935157,274658770,-1,330653255,349970519,-1,-1,-1,-1,150652244,311097200,394832186,593724551,-1,935012779,604889431,-1,953408728,-1,-1,487827654,-1,-1,793123764,400222637,882946334,845465516,811851905,969040805,306779607,-1,445817166,521411136,72934620,191215469,529819487,805130085,-1,-1,403302201,454308882,-1,-1,88257734,515703872,-1,235903081,965842475,52432532,-1,4535387,258126989,913390503,-1,914992877,265295590,817196157,455488981,181798522,-1,545938559,-1,194733815,428615857,49072973,448778693,-1,525688296,857560764,724099965,-1,856505076,295003457,-1,-1,-1,-1,400903205,27931452,414867452,647825402,160538491,557167514,606586540,975194829,-1,-1,607148490,-1,714874152,41032504,637257083,631672448,555355043,-1,-1,127392035,580652498,442350895,156540175,-1,-1,140988104,-1,455124374,-1,232931710,461902828,561597392,-1,534591216,-1,244205232,556030951,110281574,-1,575818252,873531604,892156429,-1,-1,-1,-1,-1,4972968,-1,282042905,461549933,-1,-1,778666397,811058684,338142332,-1,906450737,79264262,798026816,997181881,-1,-1,135346820,826648625,952705707,324209932,228005534,-1,-1,297661131,-1,-1,20841281,831816263,725040627,-1,706788014,787000670,509545789,716303861,-1,445836809,421505871,-1,806970757,-1,115602173,-1,443410460,401011144,-1,-1,342278946,751543952,196310028,792475388,480481055,858558768,122791063,737098571,146076157,136430584,-1,236891601,-1,72150896,797610361,290305545,37685576,30411459,278126738,731349646,341275698,397499800,-1,-1,61793177,571976152,-1,-1,268812268,89783496,211043038,606190101,539117598,-1,488929071,547547392,896164215,-1,140834402,-1,184037476,262411213,486373950,873945275,843170086,-1,754968639,-1,-1,-1,484705824,-1,154966195,16891149,-1,-1,783621742,579771369,401087405,566009837,379737402,567318654,476427141,74470141,945906463,696617756,597045425,593260941,87759731,633578010,439022481,-1,764809726,802305075,-1,6880708,575062497,782418962,827603140,180252385,397359142,773129379,141893379,676608528,148482507,679408444,416982381,-1,172665612,510126740,154309852,-1,365761850,949463547,332260321,819625907,955877820,845493970,719620929,-1,63986534,578697682,506282005,-1,-1,-1,-1,656829568,749555097,-1,494386567,437783025,975151981,-1,994221503,890179063,940076034,213058750,-1,920199918,-1,464385070,945316049,-1,618441236,861641295,563816419,708849411,-1,733730616,876606835,624805815,249026344,606395361,566127795,-1,517951756,901903651,793706152,-1,-1,-1,-1,701892212,-1,-1,534153611,833399794,875137587,-1,794605129,-1,925534121,-1,-1,996811652,884480430,558181825,79144425,-1,-1,503945663,161361241,663550880,216372612,611796642,-1,914463019,185938233,317570841,766959460,304205793,-1,221047652,591676945,879929010,293841855,-1,-1,64592963,-1,25721251,543263829,220028273,709202029,177111478,956750204,741826646,-1,24460581,477395552,854555642,-1,359882119,239177359,577195795,-1,330132961,-1,569573244,545963899,-1,340978270,837325637,332078119,-1,914466463,855993879,429010447,235034830,6310362,-1,-1,-1,711064109,-1,635389551,828015626,973870674,545823813,652192685,740486659,127837970,867710810,528368432,321400321,-1,220533409,-1,372685870,-1,590106925,988023159,-1,-1,785433442,-1,-1,977118554,840647845,884058870,-1,-1,-1,178030222,846861689,994446254,834256959,-1,67947291,753549588,82360584,595052742,87958225,685873876,255485188,177529198,-1,150922814,-1,-1,255786323,-1,927178817,-1,230764769,912091652,763745732,-1,433752498,168424807,-1,947258311,400390423,618590619,-1,-1,914197341,-1,403490732,72456774,460424973,-1,830973339,663277660,-1,-1,-1,372588830,-1,-1,185458659,-1,-1,-1,-1,754572743,284459817,252617247,-1,974658824,-1,877116181,102112508,96030326,-1,-1,765539051,-1,11070207,164446351,658365360,-1,701127459,-1,164433036,61377005,919306304,360133687,967826225,731304602,-1,658561487,913417329,-1,-1,-1,-1,543991168,351692246,-1,151931641,333011292,-1,564287338,-1,951484597,-1,-1,-1,196837290,809147198,55439878,-1,242656445,-1,790259904,38207213,870262877,655151110,474940776,-1,348256402,-1,519907817,-1,178226574,218848923,444453463,998355928,-1,423966636,344247359,479697662,-1,-1,647504394,404864391,619739338,547585285,-1,-1,-1,-1,-1,-1,854919648,-1,751781502,-1,225452385,864423192,23458162,283247883,-1,-1,-1,-1,517129871,940202349,-1,-1,26737112,444163373,18183489,56164056,13581006,661893759,-1,-1,-1,632965659,-1,855423791,281775856,986295274,-1,305610532,-1,306940923,579065412,371577551,637350303,766796123,628161033,-1,-1,152554974,592953486,658644134,358301847,738124051,-1,304828282,567446118,47114315,241265944,117525629,773572477,-1,-1,664624628,-1,962834403,183832717,230937547,380919565,489776875,87212762,765076035,95190444,573246940,-1,252720914,87381751,343117042,-1,955121156,442923147,-1,-1,219093478,107671021,590973540,958386381,514206463,981335077,139046515,69491460,697285592,-1,910944316,224314840,270590399,911786378,-1,589028755,-1,950517210,563377367,597291962,154720899,-1,-1,-1,697288361,-1,-1,747900670,150345581,481402912,275375530,599217624,908368255,-1,-1,431371863,252060279,877008136,443979534,584679156,-1,235959469,730190544,287701944,886113210,663910242,-1,862693717,176544613,768927730,-1,919459812,697604631,776626473,130558862,-1,723872303,295839906,666398510,103077501,795649893,193488583,-1,299669541,570873679,-1,298003382,379532777,721653743,-1,498741543,276320357,466923820,349630100,390220906,613360913,677217365,410874226,121614047,771695995,106019725,52469243,-1,68597930,983855798,-1,643796750,625455763,144651175,22148545,224228138,-1,530840382,-1,-1,79599078,524025279,-1,844134600,649103255,-1,101879427,136201663,406025921,299539204,372278303,327410097,193578283,859155700,-1,17671062,-1,773242236,263952895,893347845,820154762,36148377,501817979,-1,552606213,296155002,185508371,866717094,-1,453494696,184270662,594983747,-1,97060621,119776962,221781936,652027212,317440802,885531304,286399607,-1,-1,143530275,592544306,-1,-1,714803416,-1,-1,734964235,-1,539510310,779914295,430510835,634719392,58456380,47079620,-1,267072647,389468145,982098055,284786832,-1,19461430,653472911,-1,-1,580085454,39632486,533640165,997964362,938694963,504114817,-1,702707885,961545827,431810528,33632202,-1,346005229,437347244,700740789,727249049,38259444,840442607,-1,28029516,454629428,678270812,394488543,550934640,745317511,942929880,358289064,589404619,409562953,999472870,197682096,403886638,722910833,349192208,148055697,289845622,95149221,-1,-1,448120122,-1,-1,-1,20114499,-1,724196169,360138675,584649526,-1,229609058,716847718,380604301,-1,450942589,343464262,-1,-1,114062829,425341902,754139979,710148508,833137466,428254050,286754324,86267350,-1,29218734,597356932,940462108,467610974,442988538,-1,-1,938757482,877824592,-1,-1,735875944,409060695,-1,-1,565954012,235628961,702168058,416953391,976477562,867923041,626766659,127477195,459007052,-1,247765428,346423755,539620120,603006587,387279142,115407303,233409817,234874072,-1,345109485,628606041,250298291,838540955,120173771,445767364,-1,882972406,-1,600691251,-1,695850210,261861728,-1,-1,756746333,822702784,-1,349671938,815779817,119900758,51016325,793093881,-1,900754224,626966322,673417490,-1,365921852,730662947,84687956,-1,486406940,787969402,132254684,860811716,-1,822851729,516463944,-1,141978194,447633581,578565773,-1,-1,352486929,765645261,-1,-1,732022051,-1,17602051,-1,429672818,-1,731161529,349458405,863898518,-1,899071457,353914723,937985681,-1,-1,437999607,444345302,487431242,416235936,169070507,917716733,860193870,-1,64258855,52407352,763280375,909647463,68147280,-1,-1,734448390,277306170,58605798,163519354,471166152,60366876,134104104,815516137,-1,-1,334735963,415157167,779427421,849512083,957073336,817050682,459670068,909872406,244436375,247928815,-1,872426488,-1,-1,431740987,767942005,135082390,123615956,899534311,509936933,536202976,987861688,491268776,-1,-1,-1,905830321,705827701,220873934,-1,710483160,-1,368527905,-1,-1,-1,-1,250017508,441165173,-1,-1,-1,358111446,174197542,863111962,81619139,403726138,753459038,254327746,182783415,-1,379485296,-1,190435171,373607090,-1,-1,998102432,-1,-1,276901506,956314186,-1,897208510,570183169,677157214,229487251,636296475,30949494,517674006,79625477,753397358,-1,972240312,634344151,153432816,988416269,674752561,-1,323797856,-1,-1,886100858,887186661,989494140,287718749,582289363,570805731,144836185,175484267,-1,-1,-1,592360684,60066032,433543205,879675814,-1,655714737,797315555,445248908,60728721,754988148,-1,-1,-1,721450484,635016350,-1,794189283,952636205,-1,783124689,-1,-1,210721965,833035827,-1,-1,455688277,-1,-1,-1,-1,905463804,-1,-1,60687853,211881197,-1,557704754,109729815,46815846,-1,194384391,282121616,549257144,692755803,-1,411367508,-1,464504880,-1,-1,-1,168263274,722248931,325244414,287510524,901071023,268865106,686002469,-1,749343959,457270177,646440882,-1,220577698,414107624,166416856,-1,438685500,279016196,809704368,-1,399609231,-1,-1,78499158,857421368,567950995,-1,990701143,354145936,591873392,923276960,129879295,-1,238920795,639203404,-1,-1,921212910,638246975,706937772,900097702,4105357,-1,-1,521610142,185465645,-1,115749747,597804335,-1,495151339,316289108,925024406,927272689,856214341,838932968,-1,173102554,710162744,-1,944129972,814133467,-1,601284257,-1,209153160,-1,-1,-1,688372877,-1,879406650,-1,686486584,195849846,-1,-1,927376801,386221292,-1,118848927,149954755,896737635,773877963,481022103,188799772,323297134,180081664,113555814,-1,124709774,-1,997292422,-1,557392510,-1,871369971,517639603,704307466,573613531,572048797,501812941,401642346,659692315,298680868,533596169,687532375,-1,687457632,-1,-1,631096891,208596102,-1,207885328,590984406,-1,-1,174544104,139219791,580109452,44912421,258113092,84726326,890077411,224126732,292130555,-1,972001541,736994535,351773530,759019828,705590823,-1,-1,-1,414310044,534213558,879952561,391554570,-1,-1,401823070,163462272,-1,-1,768790782,-1,-1,-1,-1,211434530,11802695,57600403,510734733,911501604,229280561,-1,-1,23063408,240680132,805649294,296620167,547491221,212206273,768462325,261197204,16298278,871696534,-1,840833298,-1,856910729,239197504,-1,-1,-1,-1,135704086,840224366,296942439,706913683,317093950,-1,294320272,186063724,940744835,733359096,-1,-1,588611868,732511006,838433695,431964492,152114383,262457721,937201316,731407429,190598580,31486043,-1,331610484,838669387,158680019,101601002,288197424,-1,944518625,6184753,121322939,712549788,883592328,904434238,964709640,-1,338487050,570501244,88824784,-1,108401189,882357707,4471,392316783,-1,372216768,801883031,409829614,-1,-1,895347255,823667333,-1,-1,769900545,-1,-1,-1,-1,982856186,-1,61983302,229573947,859308281,188482345,93782702,268144633,36161986,767490743,645675782,476851331,-1,45811852,146830603,-1,-1,334415323,17519004,-1,877872198,-1,-1,-1,352388602,-1,659982293,-1,888190487,327659970,243657167,84152109,-1,651709618,139842727,324961151,343805957,993595765,-1,896752492,286382109,799143204,-1,934973182,340605083,422519630,-1,810307019,227181742,636010376,482127698,923551535,465763821,121507611,956377072,877688365,49126363,664844297,-1,427913283,421485094,-1,-1,145621301,676429726,-1,-1,368343962,521391374,694895390,876891042,214149915,568690244,59666033,-1,44944574,806989538,-1,880976856,-1,560222882,-1,678929458,-1,681801551,419173545,-1,638319349,-1,659560724,700688176,138955442,999459926,868819319,83499979,755270723,430682761,304743272,627075514,697540912,603343700,845963378,-1,450240241,-1,-1,775934092,327487813,430667198,348708211,686144164,471574703,356549322,-1,556812143,461954058,524190818,-1,43664833,-1,-1,-1,408749521,288305391,834680009,-1,780962966,-1,634140207,352457774,152260111,-1,-1,183100663,-1,62103998,735954262,841743382,-1,-1,399721767,-1,363415041,659142191,887255371,638476131,-1,829970596,495426638,-1,263878819,26256958,-1,961780942,-1,-1,874245411,-1,872759710,-1,-1,822545448,-1,-1,879037813,301753441,821972310,446347072,-1,-1,-1,763222143,772378397,382742860,99169101,271732991,-1,-1,936330800,-1,268644356,-1,979144874,248643388,564797261,235761340,595157178,856011801,-1,103075301,462104383,921897252,755351965,938503753,3318497,265527948,-1,78992868,15332063,610347027,-1,643671803,655569991,814426437,797578991,158319917,595789812,-1,801769810,268078109,-1,-1,-1,84031725,507943646,-1,948301412,-1,-1,173342629,16657881,333215206,233866643,-1,563981898,44461761,289711107,-1,865909654,-1,540536516,-1,-1,200154726,892487746,-1,-1,857152709,-1,-1,-1,612196922,-1,747240095,802612885,674756410,-1,742927253,711887577,476240047,540468798,329438545,265058358,-1,242810908,898551980,890049364,-1,220363714,615157294,803722074,977074245,347533661,156544452,959974935,417013284,278738004,493988634,-1,398202377,271362477,399219396,382650670,-1,150313430,216675817,884514551,490578068,751692853,901373443,-1,-1,-1,-1,560715070,-1,739488186,485978752,23637687,76573810,634744268,205256657,252916552,693754491,-1,108456430,-1,972933044,91878313,261082556,537201373,237604671,-1,597650536,130208839,997774644,218847114,-1,475826379,499940700,835036729,463918474,360996698,421023754,122677567,-1,-1,472121712,429411680,-1,987745964,932962433,521303473,788128634,931482634,398257929,-1,-1,-1,-1,254994737,385796173,4049427,463512916,893572453,314184942,919577972,465498394,694646879,-1,-1,361757824,-1,382364514,648305242,774378250,-1,10475610,898765677,-1,196077894,53108236,343940910,806825406,866969568,-1,-1,-1,693472176,371565218,827823123,-1,-1,590245721,240683434,217777228,-1,630952094,721070347,-1,678916226,-1,-1,33491709,-1,541509552,-1,988393846,-1,-1,950061132,922818375,-1,27082648,361501717,897014440,-1,-1,70888802,714440778,731273639,-1,370916092,92711809,311420464,693691664,934524521,-1,-1,-1,954598126,981570118,-1,-1,596835233,430581422,942982593,-1,448356644,597665227,-1,866144780,345549440,243538847,72456928,53479445,-1,938744790,-1,740372780,526908342,760585673,563068763,435899516,882388915,-1,657010665,-1,345500689,569395461,822132162,-1,600667829,995244635,460185844,398694569,-1,-1,946197078,991020931,165549725,-1,760933107,-1,240785125,-1,-1,-1,550853152,21111259,529535975,-1,265152120,187950449,-1,-1,716197942,280328669,800808483,-1,993287630,-1,121647348,386077508,428823733,186099443,-1,545537454,48707908,164825860,502055988,419732201,299507841,-1,775024575,151311299,386939119,454804334,891180722,865705396,894016507,583335614,340209989,874565325,372908700,989060763,433851954,534228658,580622531,-1,705103312,360514499,795305879,-1,-1,-1,845630379,-1,824125703,-1,579205546,627811250,841384240,778093522,64807538,-1,419083128,326084399,598670901,241969631,-1,643318582,-1,-1,541651739,-1,225163538,900343541,-1,-1,479129846,662445417,670858545,557410145,-1,574493301,22825741,-1,587297242,778373161,448671870,62558639,-1,-1,239827303,143308058,828524832,495010634,710801766,702953180,764600247,899184703,359838659,123614369,-1,-1,662138348,454158925,807758285,-1,697991324,932015551,323201441,820131574,-1,-1,938509458,-1,592867374,998096991,141690691,452279072,925481752,655888798,-1,76072700,615600324,803717219,473917791,-1,566340433,141767517,488756524,-1,512915445,288522365,538169353,22778247,994363256,226568155,392531345,154384365,897939025,-1,-1,-1,209338,969696998,259293046,17233557,535012525,325157629,-1,891153517,58785539,-1,291603762,166172251,928688840,188926582,-1,641735025,331171805,266223770,486904219,587905654,165102632,223830190,-1,886296517,-1,220605460,-1,64954079,-1,634879576,-1,128203445,103482398,693883262,-1,323566713,-1,33323581,96794577,-1,-1,-1,357057246,-1,54893915,926055882,446234472,292261263,637239659,-1,-1,853468766,160189183,769082820,-1,-1,329471883,491950502,744323361,-1,241819030,581608086,817169396,432002794,396733282,579299141,550648480,221195913,639670297,-1,-1,-1,865926713,126222748,-1,756654773,204252023,865024477,876830629,333582167,484793015,808955598,632381636,44384806,-1,-1,-1,-1,667264209,-1,978899466,594648309,567042656,-1,704744323,-1,635808555,647853006,-1,225812397,53405398,-1,97764132,473694500,972153046,-1,867361640,-1,-1,-1,45808439,174987845,947931143,428509496,-1,907294880,725521475,789620921,803918854,-1,-1,-1,300502734,544090956,590921643,688801885,773556352,743212676,310573290,-1,-1,385826467,-1,198968220,2895824,125213792,-1,564054423,311971000,-1,358655032,197420818,551332135,-1,472161802,911448591,520591547,622235835,835706253,41269925,-1,-1,81505853,402465728,673330985,7182579,213269385,429797363,-1,690624207,372827796,244672999,730479661,978331759,778022848,166918643,376222720,-1,356299348,931957840,512092128,-1,-1,81222757,-1,604337380,594853665,237543311,-1,-1,740955553,142883201,612113612,784564548,917443859,125151834,-1,-1,-1,-1,807776501,-1,622160061,246748729,-1,782182087,24028393,572609626,-1,745933300,705829585,243204957,-1,720883489,918699111,-1,-1,-1,-1,371600176,361824319,79094075,837626613,-1,492705614,262762701,177339110,699712563,-1,750014457,15533253,482371723,652093859,747124185,856575761,562609712,556708522,846142187,784071347,880737596,336846410,300833487,524789451,-1,743101973,-1,-1,94813131,957243977,-1,888932889,724286079,46366301,118015823,-1,248539384,-1,-1,317648191,149495577,923218820,-1,996028898,750637235,-1,-1,-1,-1,-1,827046836,201849734,964887401,-1,-1,-1,253926065,-1,756464183,-1,536020637,428246740,172253504,743609973,-1,-1,352863751,795976400,362007922,256631148,883608452,-1,167161097,965037321,-1,-1,262830153,-1,398164493,-1,850268775,515636501,914460059,-1,771855382,209673010,-1,402176910,556412552,985572927,547113422,721035550,906839460,324026903,561165642,673566798,187145108,-1,23945611,278151973,463323515,548683714,-1,865887255,-1,501566018,510534010,229240767,-1,448435497,269897417,515624244,511736639,-1,-1,360595364,891762487,852904501,538209826,175357546,-1,390392575,252391333,264765800,701966949,985543798,-1,45207680,-1,-1,-1,-1,141082329,466278060,42242278,405020597,611852785,143285899,99535294,-1,-1,70371036,420232516,56829455,-1,676664108,776960214,747577245,754238949,336027924,13791118,138039482,-1,693243376,-1,112529711,31025829,166598856,-1,164882209,-1,329897462,904876714,-1,284112015,-1,819526741,595100478,466234,216283338,627002620,-1,-1,934740954,-1,-1,339185761,895738374,-1,-1,875537049,329019505,-1,945342817,481773022,952900778,495068165,-1,-1,-1,131905927,-1,544703582,131713720,-1,-1,84739710,487431138,-1,854678337,161349894,435828937,-1,759705535,25185437,-1,-1,-1,-1,575508728,245177767,525945078,536265471,-1,914925797,192751466,-1,620225952,-1,857049655,231717950,169293685,191515010,575861325,756846859,464685886,-1,559806353,567286743,558903236,-1,-1,191654232,320702270,-1,-1,-1,-1,843097334,175876148,-1,434115072,939228410,603987812,938598394,-1,-1,375124618,-1,852650874,406776891,494246956,368675154,-1,744070457,-1,-1,733008318,-1,839730557,-1,498724759,583479038,240015284,821983929,-1,365015189,3678874,721924711,-1,656382059,716683340,959266539,989887714,932176682,145919388,-1,211725709,342032672,639139054,910355895,44764036,393764203,99101673,761985919,949014474,586445119,959335637,332351815,580607402,675084865,-1,-1,480054839,111572361,664271004,632365156,-1,420008798,829738396,932404874,135536883,-1,494673101,-1,312578047,517209501,968990105,-1,833258691,19043665,196786548,687652704,81181472,-1,383158932,567764728,116430642,-1,647702539,851229436,170698418,616259188,223889068,506365703,408733254,670171809,586352463,806604765,-1,498702682,150933426,840176337,808863921,80657514,493496846,-1,97883052,155863486,734261092,-1,86337367,-1,290495440,387221197,936872474,624104480,459733352,-1,894246668,-1,857623208,384987674,706896155,439188261,625694535,758952300,53747934,-1,67959642,-1,943243636,782345921,504454999,138584754,-1,730182769,-1,813055497,575423855,820884772,249094939,418294987,841757396,972276708,133555458,-1,302598878,652425775,774011766,71455880,236138876,163686526,-1,-1,60504394,60462915,-1,884356206,166310577,318797494,788671440,-1,-1,-1,-1,154279857,-1,581590634,411568436,284931141,801898964,-1,55603354,457748066,120407011,-1,415694100,984124940,143321207,988749891,209401744,-1,379475238,528063860,134384315,302113482,-1,524248269,878741687,603875819,-1,410055043,549409911,778817429,414274408,453055482,-1,-1,-1,731984899,455724197,338600117,726309013,926872420,956313677,-1,780127304,-1,331201960,491236698,445680688,396254458,190420069,60859336,245806375,-1,965543724,-1,680892157,-1,770485048,-1,-1,-1,275645137,578314298,867804707,557516140,-1,471134402,286098922,-1,-1,-1,951616076,116211590,517452476,-1,411765481,880890047,191439381,291467313,-1,-1,-1,646430363,79700859,436607389,686741919,735916556,-1,963815737,337279648,-1,603142519,389782652,621581558,436396781,632321985,48670336,774354569,277687201,331719406,-1,-1,735628834,137565670,-1,-1,830891158,505425756,30112287,126306372,427668072,-1,631554810,-1,-1,750079265,-1,-1,385217695,455020310,-1,238526352,-1,913571430,465335584,-1,-1,-1,-1,701406933,421057982,768015165,-1,576982900,229348438,741077216,203191159,-1,150991075,132013838,-1,334447242,897237644,-1,806963582,-1,-1,739812486,-1,177648268,805052780,261488742,-1,564555386,393759504,680658955,805469747,-1,936242562,438560861,689905949,678104402,926435462,-1,330906863,913322366,940774803,188249278,601496279,304353368,-1,491070008,968181473,584911259,722674727,298252654,109591238,52923225,-1,-1,-1,-1,328266235,319820249,67999660,481404197,822133431,975554230,-1,803223672,906285306,881597108,332571427,789708797,178340955,11679895,10622164,963791956,407117644,315743137,-1,938852555,811309666,-1,753782045,573536847,40033016,-1,283671885,-1,669002447,233337897,100395284,548718545,945361342,206508102,194124118,732138499,-1,389219005,31327578,948074437,102130883,273363378,614709167,714720604,-1,-1,4493182,141183588,461232898,130604997,791832780,143459723,-1,527710383,406452997,272340197,-1,-1,996586717,-1,276182919,268498365,891143464,924023459,713140820,476643841,-1,881136198,326083630,105850571,165043836,743110385,457989487,107792561,-1,557186873,62595804,945431387,706539541,265844158,14024133,322617144,535340279,709578867,814075288,-1,358317757,379467560,976674606,386489723,123783190,201015227,738389551,366878655,532693088,371358788,987450815,-1,-1,549456920,873974783,189209109,418051811,79679845,713360241,-1,-1,-1,743698894,-1,558803469,-1,-1,483637455,218760199,909254037,377808140,245571035,469537822,-1,-1,786811959,498200371,786157201,-1,-1,510915723,22842738,88682336,497753484,481874860,102664134,119080741,253946406,820592774,728473108,227260609,-1,168502888,699445908,229474404,-1,-1,905937284,-1,109637933,611170586,743137590,-1,-1,295631982,379746646,580736268,-1,927689566,880985504,-1,369767153,770719554,519084129,-1,892209494,-1,941651027,-1,611815557,479411588,749247350,970466452,872459898,924683409,29081957,2305243,-1,718735618,201747568,110057810,241291012,686884570,685458992,-1,-1,-1,201453072,336613469,866961262,990082693,193538256,-1,-1,540834216,-1,994946171,252021553,-1,855046285,858424891,125197411,-1,876369224,82740126,-1,931628018,-1,71286885,677699112,508317594,281914887,-1,-1,144287396,941912340,165708104,881486163,308140924,445044854,865295584,-1,656210156,350855860,-1,728737622,322647573,300977143,-1,873413965,224503436,52925188,408853591,487754962,647937652,730968469,883318722,-1,-1,661028275,698143208,-1,64221882,-1,-1,569770839,622784037,-1,768170064,-1,610736858,950124547,-1,144592375,489191239,184277692,206880859,232282310,768334651,323243314,907821790,791941698,312070515,385531493,24188411,232730390,331696831,268412794,239205092,-1,-1,290790898,60326790,-1,970519762,-1,723407098,-1,828621484,500669954,711969433,416492880,281081371,789285896,561514581,37238095,7715167,24164123,435960549,405154621,470185388,339421393,8420561,-1,742298817,818412627,-1,860098224,-1,535756489,-1,-1,662478206,268870000,866776173,121205291,-1,762181656,973673031,231519074,367300275,487278361,-1,59977381,-1,-1,235456974,-1,-1,950881675,-1,-1,132390839,655202034,-1,493395426,-1,5212773,-1,833259000,708576386,153055788,-1,52665972,868786933,283333219,-1,-1,4043824,-1,40493859,371049947,-1,-1,788288043,-1,-1,-1,441131152,418046305,69020760,525957337,-1,560745866,88962166,293825882,-1,964144838,103553432,239419913,318790874,-1,858716046,-1,11894590,879533048,317309156,-1,-1,-1,-1,-1,839409976,-1,981601415,734660871,-1,181740561,127268161,876958780,693230286,-1,-1,738385064,991929917,272846104,-1,849243779,-1,455945440,582613543,737087007,993734976,802718430,-1,52207934,453681385,-1,-1,-1,933028761,-1,201080302,270281990,-1,287068864,-1,684205900,-1,-1,117078394,892128055,134721991,412319117,765447973,718091847,-1,-1,-1,497564265,466525984,-1,-1,519131889,-1,441574258,909738731,803246653,973978021,-1,942624766,699700430,194005941,323054115,198732155,631850666,783394304,436807906,464437806,687934153,11458123,354145892,232308769,163987215,-1,-1,486958062,-1,754185788,498716901,741433541,775718523,168612539,5460488,138464856,399997983,966502853,-1,-1,57837758,636214303,212407209,-1,695683641,344731158,594663463,910520170,148623683,760894847,207439922,-1,254900060,783139934,-1,808200428,984506560,10567803,994996217,986692136,635640317,657340212,735965252,340708155,946198973,354283273,781859399,-1,500417711,-1,990061957,-1,-1,-1,458583618,887361564,-1,43391415,-1,110393841,-1,26259071,27538698,710906696,-1,304270135,359004916,146714774,368683119,836253657,543153818,153928960,-1,-1,873549344,-1,505687008,-1,657716342,85630033,749487667,779541536,971563016,-1,145260427,-1,-1,646667503,-1,954384953,412119669,-1,253009215,-1,-1,-1,822181883,-1,70905812,791271078,10588966,849824395,594650689,45613602,784170110,660042547,251101457,-1,507138433,67052526,894015405,-1,791803903,-1,-1,552858809,926663768,15349814,677382824,201481862,491992853,976586605,360974573,-1,894349899,-1,140437347,707385168,-1,502916300,176171654,-1,523092876,-1,835175221,156256443,-1,571475997,-1,-1,939039229,-1,-1,861131741,912543013,-1,992058918,116531087,562275768,979101214,-1,362600673,952265943,247332588,758378711,-1,458658646,724211234,248894561,-1,-1,54987262,461521300,-1,526679478,848319037,904031664,298783037,293393406,314118854,-1,171880378,780011900,243392194,78510677,-1,-1,81715407,-1,569442435,332952368,561331875,567853485,425487649,162920571,139621369,903829142,955998889,110941179,399054384,-1,856423171,386456531,-1,-1,-1,-1,416019193,816354510,967864851,343615859,647842797,-1,78734356,-1,-1,863204117,-1,504371248,927127313,763520820,368520228,-1,447051791,167562144,961172175,660266315,378766774,984686105,878309231,673486695,887670454,259711533,239240902,193636229,386263615,-1,817884804,833861548,739135938,-1,532550410,535692263,-1,-1,562721197,943761355,636562186,655290219,283493716,842252875,582831547,57715234,697783327,-1,49692919,878423004,267918701,-1,778036399,673470521,949404341,66482683,903035808,-1,783314567,647472541,377979442,628721210,244644483,219047289,25251228,309630054,-1,59963546,423504183,993678606,745135099,-1,880594285,-1,-1,-1,448882490,636411321,-1,532475197,978395130,-1,634567802,896492145,563485757,-1,55870210,559906470,971015978,992079830,-1,-1,906305158,328750657,142947652,850913042,-1,944457616,951647218,516110691,846412582,735871268,989109681,-1,-1,83949320,-1,704844861,-1,673504610,943607229,-1,521994946,-1,-1,-1,426665906,31303407,-1,-1,869663962,313880598,492181766,-1,-1,946545987,447374274,872737628,976321760,774217782,36147707,678747214,287619621,51892085,85494229,716748604,503317597,237849094,-1,277065435,-1,776252451,-1,463773889,947659540,-1,195220071,488604291,-1,838472847,-1,167606530,542248844,311787345,-1,447115749,619844489,784092212,558800004,974787844,464185058,26618686,17652952,-1,-1,976040234,955506450,-1,-1,988038298,180628667,676962715,-1,-1,170522973,726686499,357298050,-1,191085641,706397866,209440639,877753533,-1,634128192,20192700,673999425,82858423,-1,719116728,384372849,786525641,-1,-1,-1,338628120,853656687,981410409,587510893,785746185,24605889,-1,557320356,-1,663638956,788119457,169247095,23842406,-1,112817164,617242150,965278639,706232818,923837693,796853052,-1,408152768,-1,500845078,148664682,720958519,34053233,143775816,723344901,177495435,859457526,-1,652946518,767360171,357184813,297184937,626016588,232705756,-1,-1,-1,603478395,45449384,-1,232270066,458306190,984423369,-1,954724756,262779023,25022047,-1,-1,-1,-1,292884524,969130190,-1,395418458,-1,236008384,253580940,-1,316475002,497760900,680136168,433599828,-1,316196421,515454185,-1,863832213,388538351,985453769,402202470,-1,593807682,-1,367623569,-1,7598442,-1,839312670,-1,-1,-1,345737320,143615431,-1,638305707,869628203,97773658,525539256,-1,405198825,868432197,715572756,416485517,898667687,107568788,-1,617885274,303154631,-1,985098639,-1,-1,267453446,-1,15506643,495696349,936702621,974339963,244316136,965528998,-1,128524680,164143247,669380321,-1,794388200,5552142,893441879,-1,389488470,-1,-1,-1,987531967,997040087,-1,213225096,-1,321079704,264278142,-1,487552536,-1,599879086,-1,-1,-1,705949177,732616434,-1,495986804,678624502,41344524,-1,-1,34720237,-1,298094975,555532982,-1,-1,-1,-1,907381999,765244514,-1,36923630,481050716,872147919,636882630,190061309,74642612,539217569,493110445,-1,938362629,781195924,133672560,-1,-1,607407914,-1,-1,-1,-1,974226685,-1,-1,-1,-1,661665834,993980821,-1,99868831,695914034,-1,274274209,-1,973340115,270992380,-1,218204689,450813437,250107488,304323403,-1,319847988,652816194,672245648,567734187,40133806,846964528,-1,91184389,431684691,-1,896291035,217546358,646348883,257983989,460886141,-1,270018350,247864243,-1,436842965,35776810,195882441,940417907,186970667,796614353,154009049,702900553,568309792,796000088,951257487,409988853,279898030,158280322,153962584,519291692,-1,-1,968495569,960988648,-1,457710465,984985325,651497025,325134330,527170981,-1,560293798,578718382,-1,562276413,-1,301672558,187858903,872822130,89356820,873572241,12986900,963017380,264398100,-1,119074920,296749239,491877672,-1,549078917,181321151,-1,431422255,582535467,737932809,739071146,335800584,-1,947270008,739120600,969498084,178343859,271663735,337636698,467822827,467057769,511954439,949217850,836917791,-1,687062655,-1,402476066,654494617,14044544,648369187,-1,235811240,-1,799863464,-1,395914831,-1,24927450,-1,-1,137132603,-1,-1,200828365,614545758,475792275,939418030,786186778,783834570,601357316,539290174,291191575,-1,-1,217758646,719157397,160716416,-1,-1,573275004,417276686,932669857,314434244,-1,655088506,-1,-1,-1,952568966,618850237,293515607,849199505,-1,912490549,-1,-1,856528476,130420636,754769897,-1,343601406,247247726,132666615,29377896,940410296,-1,-1,920460585,-1,-1,-1,799903134,569213083,825367604,778341382,-1,-1,-1,840456641,-1,-1,358087773,-1,901987602,283352777,-1,343648552,782043976,-1,-1,-1,-1,502411002,578004150,918861393,-1,-1,346275456,816730821,-1,594945216,-1,694573214,339334159,-1,379969278,-1,705650695,-1,841679562,442555923,551400073,476939859,81537842,657951895,-1,-1,892387467,78114328,-1,387147685,255930955,-1,811449232,-1,-1,303014052,828445891,544890216,595606781,-1,659396980,626936535,514648090,743621455,984379771,63075378,731553,-1,567177667,-1,920526990,420738138,343382639,69617521,259384606,-1,-1,-1,716623455,-1,-1,-1,543905059,48081396,-1,936284661,-1,596568276,831900484,-1,198720917,361913457,137135676,388263657,-1,638645608,-1,-1,-1,10211832,817114837,202925260,812915213,862299336,-1,-1,482700061,897359663,-1,107735825,5013342,70949182,792974618,237636158,141404251,388038203,483663479,31349003,-1,-1,104661126,992058918,-1,968601331,392356895,292563947,379399924,167997398,529602697,358070866,418713734,246479734,492422159,11219635,189468636,-1,-1,-1,-1,213374315,954029628,415921899,349600527,412705025,251521480,-1,935520445,510468832,234953845,736051418,438093756,513625275,163132430,572047499,964974974,580167108,472491922,408099185,-1,-1,-1,650698732,-1,59466378,-1,768197550,831033884,-1,717829266,21299037,263950426,-1,366221451,34206554,258637632,763453834,322590374,-1,-1,276413420,868963266,-1,542009362,529072597,-1,14163353,308848109,-1,701690683,-1,-1,-1,291234753,693856510,207989022,714991810,196467607,220099634,-1,966624340,31613256,969225917,-1,-1,-1,-1,-1,340325525,604961043,675873531,-1,537454146,503147450,925093837,-1,-1,182899652,206482763,987607725,-1,770447998,271420532,745436150,821931079,-1,111728419,821715820,133780277,835893873,405271673,376565215,315151327,-1,369677939,-1,702943114,906760155,-1,-1,308057321,418675988,-1,572373520,-1,558878843,415553586,895908566,583234898,-1,508515623,-1,863946240,258863067,137240518,936741799,956844012,505634091,408666803,740732489,-1,209134263,679457170,517308108,516283058,443351152,805763536,56323406,191504576,-1,131172889,412659998,636097722,781643221,243194218,-1,-1,255607080,365879658,966072878,135731548,-1,275356311,-1,264943044,993707128,416557376,733867917,-1,75502250,615934918,342275917,567303328,753246516,-1,186629922,709340901,370069482,369503676,-1,860976262,892613822,525191518,573681415,-1,557062692,451171135,-1,772195236,-1,853342785,386776771,273070868,796295064,614448683,526573417,325886621,383018318,392792494,29166257,930375477,-1,238455628,578162341,614717722,923510772,-1,-1,660432843,-1,322432265,763773015,707080985,576710908,444500030,397545108,-1,781754679,609800490,-1,-1,907095454,-1,1298723,-1,-1,-1,881507526,602554955,-1,960365257,41568655,-1,-1,208153548,243503745,132232382,257857230,94155009,4719566,538505235,782177376,796273624,-1,934697176,621130709,-1,221747651,981134934,-1,-1,950381364,-1,-1,97410207,-1,142571717,817972848,409222314,872594750,573989123,966169654,938418392,737754679,317754780,135460046,-1,-1,110620216,957894487,558522091,367497004,924501603,23868116,-1,97091011,396883965,579785785,346686135,533945711,57032321,540727801,293907819,858852591,369513573,-1,241260813,772255442,-1,679932698,-1,-1,84050708,900352359,166454134,-1,-1,508062056,642538214,871546958,43942599,-1,-1,31412534,-1,426725614,-1,944131010,-1,187162964,-1,772513323,468766951,-1,945110900,-1,-1,719991961,186061565,-1,567447316,803554990,648408422,317095556,279858524,604139047,-1,-1,385916250,-1,528951778,296960170,743834729,842639966,832795505,-1,-1,787593317,400770766,700219481,38466825,500423556,538435976,244689884,576793155,-1,506949793,-1,334928038,-1,-1,268269289,-1,872976279,221051865,249951777,540179993,-1,-1,-1,689145860,28366365,-1,-1,777002169,442951548,-1,69585111,-1,-1,773380312,276597622,921156014,757903426,782349093,363130330,-1,896264503,-1,611115886,461244747,237841744,532831216,348382450,7456020,977698389,608979172,429457805,34732,297303556,349357068,-1,505235922,-1,-1,-1,158677324,-1,-1,567401256,207927172,332444464,136732733,133332920,569762867,539177520,39852194,389118608,666019552,-1,-1,49152777,624579100,831242424,-1,938173561,692322664,986328040,464111757,337184018,-1,183523527,530038215,905549515,324328993,-1,452023851,532187129,-1,-1,-1,982175626,470743921,-1,51589374,632064234,670130960,624958682,867333486,812962291,229285257,511191447,-1,18148375,384419189,385020987,33025340,-1,414622148,-1,276191079,834079729,-1,166330387,41162384,-1,743090842,919572834,-1,-1,-1,702152829,260855176,-1,-1,72534383,806363861,813801606,-1,-1,79716388,76404908,512396664,200513487,986019769,-1,889762893,727471731,-1,597511947,-1,166473032,598694580,676678302,773747471,175813340,-1,554736515,488608570,-1,874179064,421736973,21873899,489515252,67771895,-1,971470046,413537194,-1,13402074,-1,768203562,488360886,191397450,957607910,676759999,749132372,-1,547353844,-1,686383965,132588874,875194736,316017604,88284214,245324617,970996512,-1,-1,203804973,400970213,307347253,251446840,-1,927867151,-1,184721338,-1,12166102,508233325,666749480,588917610,567145133,-1,225515400,416641959,347347277,942018671,255583189,-1,-1,316244072,65583461,149998048,-1,-1,407351316,724710869,-1,383238809,75135059,657463228,423137745,-1,7588945,-1,633431504,203644069,832511791,-1,533098343,-1,-1,701505882,736312143,-1,-1,113935549,34819458,955522692,89362842,146795377,786882614,624606441,547184374,971481843,-1,-1,473281200,-1,987411977,329326156,60221241,-1,898140520,895961220,106140360,-1,-1,845976127,413037591,752452135,477463409,-1,530941086,770882416,764463579,112900787,-1,486905126,284487524,-1,-1,684290566,188130602,709173849,826403413,-1,353706050,-1,-1,187702876,-1,-1,504789371,-1,-1,4467769,451607560,803384535,451254116,262840251,-1,-1,898820538,315672304,-1,785133392,187642732,569653279,-1,-1,-1,809982403,570640125,852164888,-1,-1,527631309,947767118,816315050,593022126,948765422,-1,-1,709570862,539698628,866650438,558979705,11438501,149762305,140991408,-1,-1,978400673,-1,979802403,289093804,854864854,-1,877376570,941310056,-1,174144849,-1,666537767,-1,486448050,663624209,937585788,-1,265545225,505395318,866741183,743181532,757416278,668242107,66154616,45065027,-1,-1,400267264,532224644,503654578,880389691,910757043,-1,-1,772800743,-1,484191628,481644853,-1,-1,871349811,214366259,484157780,-1,-1,891639773,-1,808273539,213331392,-1,754070922,153309051,-1,-1,312457876,-1,-1,893482392,29413707,-1,663131075,596690359,441405147,296252128,157880300,702137801,-1,-1,-1,680918862,683187420,914388302,-1,664543587,145311431,387743986,-1,139663172,241503614,613450416,927483612,824557993,-1,586535156,-1,253807795,-1,187137679,806140969,-1,14067039,-1,807000066,30401212,466021473,322228359,-1,536917349,-1,279501457,637671312,175531719,747722900,182798383,508068511,309203958,994231142,-1,250621642,773160018,-1,353284261,437926012,850320531,-1,81692000,45162811,979479420,686864432,-1,682963352,56727853,207119908,317864589,337207952,766004374,824946505,143862030,330315219,801634870,812238473,889854475,-1,690670386,710373241,489955699,714382754,-1,-1,636834139,221372129,-1,537732350,317751883,572309937,-1,597346252,981135179,95632006,-1,997805221,-1,696986402,-1,-1,-1,494450734,768690617,653034061,403589955,-1,380961205,88788859,847390246,891810331,-1,649473691,606143523,354502137,131640409,482837911,7473445,642110548,464398779,717998764,-1,-1,-1,980649919,455169795,235872640,-1,123089758,-1,838773565,692184658,-1,655786326,426879253,588162359,-1,668492541,283861232,676372877,-1,-1,906700280,840114355,459645492,701636843,-1,813730064,411003238,612982567,103412252,422598919,-1,-1,612451506,-1,867995260,732691462,-1,-1,46626002,-1,629147261,-1,642442124,618562950,957068443,481338629,750594882,354728280,545489028,223223450,137312270,96733551,-1,343556429,297111999,869123212,286704205,984713305,-1,387051417,258888441,149063592,-1,855828079,427131421,-1,645721781,864824390,-1,-1,-1,450145642,333989803,656076475,-1,104240746,750993408,956629609,624195669,30887121,649205535,603243662,115934705,-1,159252821,750993410,203182186,15020230,-1,-1,-1,239164103,-1,698076226,154855213,908931593,-1,766168750,643161854,-1,355792226,88116846,-1,792334755,354307164,-1,998550921,168409500,29107478,-1,606451710,243813134,705383917,-1,-1,728556184,957358680,67915123,732260749,24798269,550416447,670295484,121954315,-1,989980210,643934781,-1,-1,883268040,936448886,194220436,916033455,-1,-1,841592832,976589027,766116518,514032510,789309867,901329173,-1,59017719,-1,831154000,501342206,880577881,139632938,342464934,-1,873493028,548276312,661706039,731731510,935615542,239937925,184587237,749345951,84077531,275772021,136458830,923743482,441995144,-1,828946866,491053734,-1,71404437,364436904,455947521,283385175,-1,48030892,-1,671719247,831547980,581364714,439017104,600113109,3815728,629114,327773522,-1,-1,155397112,-1,702127163,-1,191110870,590110208,202474627,305864406,582835974,-1,-1,-1,350548020,269319366,886912695,742021513,-1,-1,-1,399070316,-1,614101277,453048071,-1,999614727,920709316,964198237,-1,-1,970566359,-1,727716696,255087807,858636301,192672866,567992050,579802155,781386053,-1,925565330,535415715,456489758,-1,470307372,69938902,807645183,-1,885180336,-1,-1,-1,333684951,780539048,383007223,-1,508107272,-1,47956070,-1,655128730,-1,657984131,-1,-1,795518907,450951873,682050420,470167906,-1,104984835,-1,-1,605398484,989012792,145704845,193046524,128331296,-1,605915293,-1,973158525,246211177,886855763,872732950,887329669,-1,987642908,525069036,106190552,729032331,198403286,-1,-1,-1,-1,567165774,-1,-1,593398166,-1,345268790,-1,940668852,704380894,670957489,25063832,913248458,-1,-1,-1,-1,49969225,939672411,490100880,-1,960594128,-1,472693925,411829316,490790238,-1,616385507,791947495,-1,-1,83351263,86605441,160257224,576589825,787953517,879869391,-1,-1,-1,305722575,420296648,193986602,-1,85481769,-1,920041770,867610471,650951651,-1,-1,906293936,72697464,409722073,-1,607380648,-1,-1,973430782,711729487,-1,204751351,420749068,-1,401234406,439462238,8958346,621917591,-1,-1,888232739,332106357,959569526,105174861,989116105,655572102,-1,48928647,-1,29920388,-1,-1,-1,361792065,367623688,-1,125406933,-1,-1,-1,272093429,493759217,886667019,937470161,-1,589257545,-1,880437144,439364839,524574423,543429960,-1,624638865,447629425,870990871,448522744,661878555,-1,143790437,-1,935764430,303006620,908929178,825503621,-1,75340627,-1,505848913,441614642,-1,931235440,-1,112961595,707641375,239300223,383932404,-1,648999767,-1,598961488,992693660,773508286,948986880,-1,82870950,339143454,89079474,700773656,609614731,680656860,758402118,-1,946377675,118353902,730961899,-1,511664616,945112365,-1,-1,-1,286215788,275370361,490803142,660210978,-1,-1,710873795,247899794,475205973,346717543,424445165,-1,-1,-1,615585724,-1,112564100,-1,159761240,677049075,551452714,273789757,-1,629458709,146154677,-1,4123818,283079619,-1,40610630,267683070,648498386,576921883,788644034,154406052,221365469,-1,-1,958480779,508174285,98779536,182935008,993367631,319466586,187947778,-1,155013102,860349473,-1,160533252,284062618,507917312,-1,777772145,20933292,-1,-1,772519924,605303335,-1,434156374,738200239,756830625,101635825,-1,874043662,-1,-1,211399253,351376753,719923972,814006684,950149662,780878383,-1,31523738,196374934,603807737,-1,94866015,735111067,909434796,11099406,153201577,309953797,263459535,-1,-1,-1,-1,534308215,818052438,419286539,-1,435824111,660992406,-1,492327971,549285568,379932668,410908411,191756100,491197601,375578372,-1,80735276,-1,-1,238671018,312519659,883184169,562581595,-1,199228695,850053731,888114816,236147218,491054275,84939837,18391867,5459237,337153376,396495214,-1,303496519,-1,422294825,114232149,34548590,224990397,234238180,-1,-1,-1,723407262,595460309,-1,116600662,961408106,-1,-1,799723436,925622249,-1,834069259,-1,556796524,-1,379224793,791738860,656802622,-1,465708832,569142805,475779875,-1,369571287,383979072,915932174,505036905,905532850,75601353,-1,493672664,-1,190142671,-1,-1,918798499,260978324,569340343,-1,-1,-1,-1,753533143,-1,800114313,353875574,-1,-1,-1,724987648,-1,264464354,-1,532412330,-1,331176255,-1,429308136,590439175,484764354,446621610,638645364,319584727,-1,-1,632453253,206239156,930796256,65219588,771524475,-1,876155514,136813081,-1,-1,941591065,-1,846737738,135397547,617829928,699200421,-1,501276438,911594650,814339863,916037056,-1,747853166,844247572,436120981,-1,880805411,908127602,150526405,581723075,142769805,240657107,185404931,879353572,609602011,430195160,328543634,124371565,223515944,450038289,293111012,786883517,891233224,591223462,937261213,486533782,567805648,686985751,365411577,-1,617573113,81997403,598191564,-1,69639852,773460050,126366827,-1,789275762,-1,-1,947675860,-1,611944109,479895846,-1,837132772,372548400,843274825,-1,83862840,38014548,475362331,479945986,24839833,993239703,172616469,-1,347383511,-1,493322997,751524688,585115824,-1,755338107,596870398,260324406,823842073,715325717,329133178,-1,545925784,32695389,121059517,-1,-1,311880740,816918096,-1,638919645,91007729,-1,-1,619859730,360111791,839510741,86728876,977456755,130866860,510465090,297263960,995344798,-1,-1,131471069,388799695,590181663,476638483,429530265,-1,-1,-1,444966303,-1,661730585,-1,182115640,-1,939133036,44040307,431850435,921772563,437178518,467554108,530290714,142315632,638226381,-1,-1,454073726,756097924,-1,907916663,-1,437966177,874942856,-1,-1,233574949,403585112,487795773,342314849,-1,381777437,938728222,977851319,-1,402041019,48926372,887436647,272764122,847123191,-1,582149061,956865473,-1,375345565,-1,-1,-1,511210166,706467330,-1,-1,636650871,-1,951427379,143808192,928243723,789330023,-1,-1,510565666,-1,667625716,514449696,282477766,569842631,910289099,-1,444005424,157439147,-1,-1,429928654,757211621,151402477,-1,-1,583915183,330952036,255541985,347058241,951666832,899592576,819137418,-1,911606288,430376867,-1,471020481,-1,-1,959160993,344197565,-1,315913326,391959153,76000602,927453573,-1,573707176,405707866,747597226,959976320,797025538,737634980,971558698,-1,508765899,567074383,608226067,-1,815824263,-1,639607497,-1,-1,357277337,-1,396969327,-1,335469935,682040960,-1,26092870,281744389,952337432,934090291,442766142,-1,-1,908988081,-1,939195103,631570609,98973131,516141324,176583645,777608372,604146790,960634649,741641068,-1,557671525,75363466,31230828,-1,-1,360751409,530001542,520443073,473975831,-1,258549523,-1,83989958,794837242,315493565,779736369,699787010,458538796,361891648,413082278,734801761,938917254,-1,-1,662596108,923911648,-1,793622674,764710145,866116519,645782493,-1,-1,625231953,3513621,441563243,147484991,939901630,-1,-1,738251911,517870081,378151289,252819117,640856640,484995888,524409991,802536201,894850960,430364498,-1,-1,-1,-1,-1,603893688,-1,-1,-1,-1,-1,462548789,790991597,-1,-1,709343215,806506251,742893859,-1,815386932,-1,-1,-1,990503799,58330838,727112894,-1,-1,521347206,-1,370663185,-1,670115244,532848984,81223865,787868696,620693436,966205952,376063517,-1,268913729,258294799,-1,89005109,868597613,271600486,111676817,790085983,768200020,-1,-1,90276600,-1,793145691,606001577,-1,285048695,374956884,-1,-1,512737367,369314655,912873829,-1,193323603,269690252,-1,364377842,319445552,-1,444751923,840505406,128030242,-1,518458784,865360206,391287112,613333287,33262611,765145193,-1,827771402,-1,689960357,929826752,-1,710446351,735779074,-1,-1,651275710,-1,985669975,-1,-1,-1,474113523,551765000,100160402,-1,891236986,970738231,766585301,831213293,343563674,11218483,-1,960542059,385971548,598045089,160625590,-1,-1,69402208,377923568,-1,752269955,495581512,415574453,-1,373074905,-1,524225649,-1,208649623,-1,-1,589450558,701986516,796478683,677794038,-1,849410421,654221090,747327365,-1,299975304,633366567,87695053,399000562,129646178,80869989,721275691,747792560,178542629,647207479,-1,-1,410933050,106912760,-1,-1,959267322,885588612,-1,53086436,173061583,926672186,726573983,-1,744395736,-1,-1,515947392,266507188,-1,-1,753545171,337830116,676787735,893840672,771125168,488227096,-1,919226172,510666290,-1,-1,-1,901801042,-1,-1,-1,608710228,438877196,360819865,939390510,-1,-1,986300951,83164870,-1,15040192,891601324,492334789,-1,-1,907883052,482730309,132237793,556129996,-1,113069096,454675602,472887281,781630568,120354204,585637717,-1,-1,332832438,117383951,160569880,600164250,986985658,-1,424969364,101189427,995118578,375840782,455045885,-1,628177640,-1,871435910,231578857,-1,723176894,468196603,748268609,212775524,19888824,366192255,850739866,880753632,890243787,457979017,-1,-1,287256264,-1,559226038,324571139,764276176,649303899,143394636,125709154,94682729,-1,-1,320241156,84881738,-1,-1,-1,940236366,58571597,110235084,508461626,-1,-1,-1,657529833,482673960,-1,767915960,575878711,237490204,26818062,5502955,304764621,-1,-1,564108574,-1,624639811,598451971,468172268,-1,21640097,765641356,501030988,338173006,25418007,296112924,821270859,405865921,866994331,199071423,517396867,-1,465464598,-1,905798970,193084637,519999754,364949089,994500932,889889973,-1,939419189,-1,-1,561301019,685777239,86555399,263487159,273973567,209255842,95371719,676906024,150967569,-1,504983341,-1,380329476,954118199,560232008,892434777,626126709,-1,890233052,309202603,474176683,-1,840511088,192035845,-1,371637355,-1,-1,647082406,327818596,-1,225472081,-1,487508768,925501871,396810751,319412666,-1,-1,-1,-1,-1,348689538,333031299,85862497,747409675,688870300,256406731,-1,-1,-1,840236030,-1,524984360,341866529,852813830,692702785,-1,125257161,831454529,737914939,688134753,86720583,544637929,-1,211980176,-1,-1,-1,559135462,636107049,647833894,-1,402501084,372818871,195589871,-1,50460722,123184787,-1,971817589,211467933,489610368,571775128,156602463,669346065,-1,445159385,222390712,-1,816168872,864242750,65083233,877028342,-1,570674866,226050095,-1,26199939,-1,-1,-1,311847289,951331933,-1,351821085,443335749,888753547,-1,-1,-1,-1,742145756,315446889,538565803,112846754,-1,401702984,96851964,388128501,189396464,937210930,733390968,874226982,-1,765732194,812019830,729540633,-1,12127045,-1,55928686,267541894,805022002,43129395,-1,834960606,-1,318369788,-1,-1,-1,-1,165157721,996802109,149770788,94266809,282293370,-1,421657388,965489610,-1,357317946,567084292,675069334,-1,-1,-1,833148154,338840183,4348699,160231860,849318694,796816903,-1,513321649,536947617,125182172,363256321,886694741,-1,307585079,38025821,894493501,-1,923827903,620236351,431285842,963369297,223480579,944409289,-1,-1,631088020,-1,-1,-1,-1,800337673,737529496,-1,565734023,375601214,289362698,292293366,667663125,88910014,610442580,-1,701907174,-1,648484925,-1,709696554,463727624,656698038,703636097,446814932,847884434,-1,802661552,796518927,-1,633874314,973518333,609535659,350243101,9155443,-1,857134426,71623076,188895448,644684990,-1,139987481,-1,463301762,-1,610686760,-1,467403416,62316492,797390587,681920654,272660836,709682391,210358093,626328193,-1,990678689,622885404,62176431,409475643,-1,82695394,493226401,645533238,524899303,113180215,786208988,-1,240777255,637263944,581123813,695059477,846359380,905098949,403652664,-1,801845855,625685390,497929115,750551736,489628819,-1,833605553,381256638,497017227,98292616,544356136,853390951,122622236,-1,299916183,-1,-1,-1,941924383,926364838,78046268,54301221,956855704,96098047,448929650,173472858,259731573,641449428,257734756,-1,727752344,52017638,980954806,-1,-1,88860415,171562400,417496553,-1,758255347,999909348,270432135,128386495,898219163,-1,-1,666523582,976376627,963614975,828048524,-1,425705878,100179413,673651530,73833163,520184860,24249304,-1,803743212,-1,978454787,-1,-1,782799326,189421466,-1,251802489,469153401,696029214,156846865,153412923,51573983,799063039,-1,911442771,905087707,-1,295661459,604922470,-1,-1,93554912,-1,904185049,550838867,488439669,-1,-1,1803058,393050460,-1,507878924,772861913,136878139,-1,787018894,95858273,900331159,619212887,125089810,460971849,277355483,-1,317476441,-1,740388949,-1,918875814,31779477,323108611,-1,828221912,454820410,795195465,844020002,989353840,598631544,476007365,-1,1361878,126853919,-1,-1,-1,651371888,-1,891543824,-1,386552879,506375604,123967806,14004595,445675861,-1,132961895,790030377,131539168,578423513,-1,162785664,277534780,647325820,-1,-1,-1,314729771,668793790,413396659,-1,11149016,-1,-1,660333686,-1,-1,267476444,280981510,557506124,-1,188634957,865580354,509244455,289052469,-1,-1,814041105,381937266,-1,760410727,-1,-1,-1,655865774,-1,119746307,52679316,968228123,-1,-1,607004664,20539642,-1,-1,516712133,417618407,-1,-1,-1,-1,366670461,247486256,777551870,721695319,841524825,-1,326988836,100420031,887317807,638527263,564786241,567923970,452362285,881748574,813532089,88825125,862793588,42954760,413415178,903881466,468784089,936435741,604693536,-1,921100082,663610296,648043490,-1,550610369,454773665,-1,112170857,-1,794276843,297998752,287169701,-1,239608222,-1,692708169,-1,668309760,-1,117130757,303769031,-1,391974976,884348141,80663140,-1,256672692,802768792,896939879,392188678,505073361,724101564,610538685,-1,422172957,-1,183597657,336648395,-1,-1,153086658,-1,-1,-1,980354754,-1,-1,709688720,582026672,202660207,429835136,522593155,474714949,-1,959078543,144300988,-1,87108478,652674562,944891783,481274140,792454400,-1,569833705,-1,796289405,47647020,674148624,320088136,274728767,620185209,871262990,428839072,776237960,411668299,709090989,343140312,9491871,-1,901006586,416343351,688261844,-1,933677055,-1,-1,969991417,3727981,427139017,593873018,-1,557843455,531400685,761467580,41805089,90542668,839387379,341451028,893881910,123836284,32777831,500072390,610078375,491078236,853671496,-1,588833261,989046051,436072787,937689412,-1,785653550,-1,100816461,15522412,98323237,133015149,371748659,864927735,935455530,325109939,377386326,-1,343399716,675410986,-1,-1,121745273,442925115,847802069,922614246,323158118,-1,192493749,954917693,-1,627381816,205791719,837031359,-1,490758712,-1,545191434,989252159,720095961,-1,193648082,-1,-1,422656336,802885052,-1,637970158,472935160,889301394,641645048,-1,-1,727350540,-1,264144864,548580853,260883475,425320049,749821294,723919824,694521495,307669889,37192862,126109413,152354160,438622183,-1,856398761,160134258,-1,-1,932636860,-1,-1,308883672,649038842,-1,543199242,310419011,108847315,992872268,-1,317325215,71218641,166331132,-1,477078775,-1,594994861,865651479,-1,-1,-1,347911290,223560092,-1,-1,524857048,417427079,-1,620042493,164429315,758949580,571049353,879621731,107822209,488797940,-1,-1,-1,-1,848577238,234722942,841668380,176708290,250712010,633026569,769353950,910539840,263611591,812611629,450106016,146358978,431911691,-1,22429509,945573614,791994714,368605078,891628002,4848515,-1,170220318,975112465,763163818,565558563,214045021,-1,-1,-1,-1,461660555,-1,687365941,970518852,548704016,-1,148752543,-1,157196023,295560438,-1,94748143,641834290,551969456,-1,252942935,-1,484325016,259789482,430264687,323712947,-1,70573977,-1,852058574,-1,104236409,438723847,-1,580489004,200491244,75612112,-1,540653896,-1,-1,904083801,776344321,-1,455024408,946815445,-1,720851549,-1,-1,607382730,188379769,886554321,189787806,15139663,651116434,81674295,476505276,-1,-1,-1,619540699,-1,721692934,617844066,777740597,288181602,256752179,410216120,654262187,822960956,167659802,192095011,-1,537767053,800930333,-1,265647128,198323932,843371299,350726590,-1,663038051,502855775,-1,914559699,-1,601164817,127367331,167886586,7022170,715164457,421843877,264329789,806009759,1962536,897776492,353866150,-1,111365532,256165781,753972633,101237616,-1,722778897,872393940,371941386,12703658,725695164,964893172,822441677,-1,-1,200148155,185593360,-1,298691854,906177229,-1,820905457,587829227,857674031,825385814,388615128,863544420,540259408,210111189,420487299,18933411,254276718,547194917,798882759,-1,141273458,134344396,2690906,-1,3043466,571249898,602352681,983783923,420249690,-1,-1,-1,-1,-1,772094645,237828882,-1,777242842,487300074,528271822,711984542,-1,235618080,-1,949261942,-1,519438786,679416892,-1,-1,433629922,562836160,102889050,-1,-1,329980620,536727519,486185817,10499583,903932889,303035268,536787827,621756691,-1,443968365,416561889,458463066,-1,830829366,611636191,485793582,860787964,-1,90061578,537248458,-1,719103421,-1,-1,-1,671184528,7003149,-1,-1,212734836,-1,-1,198398045,181965944,887033977,451741357,133990940,-1,-1,-1,-1,-1,-1,883164362,-1,490321060,221204369,597541103,-1,380205997,574305070,415377065,851071243,510738526,912021266,938459834,233328409,84763415,967432344,107491186,-1,352456436,675631107,218379675,437444236,582979365,-1,-1,970132849,865300104,240507926,349774329,-1,-1,489908183,348556730,472488983,472632858,56456019,-1,994221940,652131115,-1,-1,255949533,-1,283626136,274448912,-1,-1,-1,212295173,-1,301688153,371167287,236908888,661589001,36552313,248595288,-1,-1,-1,909134395,-1,585039182,71860839,952644422,-1,744788292,966908196,309042744,871227380,528875365,199930744,735635826,853381264,479963284,383163584,-1,-1,710423095,394376468,106244974,275069368,96425487,-1,-1,505688611,-1,-1,-1,297966671,515848609,374586776,287892143,619289320,930456900,-1,549290099,195435635,-1,603816584,-1,-1,-1,-1,-1,823199123,527273134,373719448,408565499,536098035,33773236,761809037,781160884,419932644,860564866,742551318,-1,884282222,154982258,466956162,219276301,993160075,655212945,928927252,326173231,876374433,711361455,275990866,-1,253958174,-1,9458324,751599602,757135839,951237231,-1,254642101,111658771,645280898,313981084,-1,-1,311116110,-1,-1,-1,609363530,279573533,455057373,665911525,793481119,844396851,-1,43666317,382565409,92581422,-1,-1,-1,693876863,682291440,504366904,-1,-1,-1,280088320,803439895,267369074,209852599,812012447,483770936,211637371,-1,876965986,470021843,914609713,525519652,816145766,-1,-1,590206000,-1,883090599,889480125,655185951,411941936,457768515,55832434,224148057,913520767,590186375,596088017,170970792,473108663,-1,204129841,-1,-1,231572324,594017997,491321692,270602228,-1,302944655,652024930,286023189,645212579,35548557,247910842,961568802,922347401,-1,657669892,271572018,-1,-1,-1,653613304,864090910,71733957,395038019,763657794,-1,727483980,-1,-1,253641663,818730859,438952788,872935681,826192104,9152351,-1,-1,-1,871621100,267211949,362122892,660052855,417973688,573353939,92461782,733210223,155529973,108947844,-1,-1,163682112,-1,187016681,684311819,76055916,364010880,106407702,664098047,283566782,738988387,465924000,362450538,-1,366607728,975716493,845825583,298504721,224972870,-1,358523899,-1,767996800,-1,-1,-1,-1,173413684,-1,577175585,3009121,937997637,976985962,17855380,518162002,572501254,748379456,937021248,37026164,156318828,310297739,-1,389150577,709572072,340905459,718318716,592090523,277168897,268926642,-1,-1,356604523,-1,-1,746175788,800029145,586193462,116065399,769934898,347479358,-1,826399203,883012957,768009439,175560197,762961709,-1,347948361,-1,245146464,491276477,-1,-1,349249437,521119605,-1,473307554,273105238,202602552,809042980,937234224,303663262,338068023,47549578,684898010,694494706,-1,-1,990358157,-1,333293766,532985713,-1,385967062,681667305,897681,629266233,-1,-1,-1,118499205,-1,271555227,733663225,-1,-1,30689098,238611761,186418309,914129752,501461247,-1,20320355,361005033,620521550,433040447,-1,357630134,977605097,-1,778960577,452481187,775247078,949303649,957540906,-1,901943092,283822835,203951776,746009059,794290087,494385151,-1,436343991,199992175,578244243,-1,141304375,104101809,348322419,967746613,371760863,-1,-1,350894530,119014617,-1,702739511,261979454,267726651,52304073,430681644,357780144,-1,153615448,575814378,-1,642290267,200734494,110833041,-1,672020479,939476823,-1,377696537,-1,-1,403639183,232032211,606283251,634631367,673890424,112827576,756061188,665651662,687998186,211396037,497172098,337632769,-1,892990740,320653983,-1,88701434,434026929,201367100,34649445,-1,4299787,-1,952943551,-1,161416603,592091661,568478943,-1,854341739,-1,-1,690365249,-1,197118469,666401562,786623139,-1,940150866,845828177,984106704,-1,-1,842757763,-1,337300612,180146444,686134112,-1,164889832,843304869,924881751,553668981,177930911,-1,-1,852644035,614287947,374498102,882113144,-1,460282606,111909252,450621476,333635428,-1,285482456,318943233,457168203,-1,408185836,544928378,136746931,96644878,198298045,426952393,-1,628927179,758160678,689238453,-1,-1,-1,-1,861450773,733627456,994377295,5741062,594390831,304863439,142693454,119638497,968416438,180824223,149979760,851111626,538672426,954599677,485874586,-1,343068058,736369703,764279978,873194190,568498303,-1,755450464,868202392,-1,751362819,412473056,522307366,506761539,757259374,-1,-1,676813317,617119024,-1,-1,598665399,620855388,130029321,494245796,-1,-1,543027601,719472723,954393420,949987392,186053102,395826643,-1,335109782,-1,-1,466281509,766012682,-1,410217129,861353401,-1,434800461,327696757,704839487,365080914,406729459,345909352,968842934,164827021,273226849,761983995,407656223,862187696,-1,69116852,372393529,-1,962178812,548080795,653740417,-1,911169273,-1,995491028,266252317,-1,952905496,916287052,-1,923543898,308020722,-1,460648792,300573855,172676977,258455915,-1,-1,574303177,789908041,-1,852111547,604953617,93732586,103452002,904305133,-1,126312428,-1,-1,967051663,535100886,222406951,475755933,204608033,513835614,990449335,364904240,-1,784789336,-1,952073089,468660428,506709811,893618835,687271751,346027846,471589573,109877314,787708599,946813727,-1,-1,806131115,336694291,670815112,294804573,893888424,351025250,-1,705311764,23184014,-1,504392758,939943406,-1,-1,670085208,-1,84987774,-1,241875162,236612216,-1,-1,344214129,800267016,369023540,28085460,859513539,91363564,-1,-1,455978055,-1,-1,-1,70978134,-1,922721385,-1,-1,813324320,893572751,639464012,393927764,953206103,-1,789071753,87423675,844312394,751476446,-1,139443831,501698534,600092174,979473519,27754474,679077932,260697211,785412911,832774410,-1,508431105,-1,334865088,-1,542934931,531253638,247747286,-1,-1,266612554,274551372,-1,60906773,273636357,-1,63924807,317526782,-1,416473027,439325218,937786177,340387928,58810860,-1,-1,-1,275503870,-1,616180391,927788102,813409930,460054568,-1,856122237,241710105,900751477,395761203,96272570,86129802,919569161,802008804,113146987,452175385,948167269,535542681,298271228,829900461,-1,237231269,-1,63337099,366154339,730199769,-1,503880923,339775675,-1,689277374,919397379,-1,827892007,427525800,160346223,320911649,258326040,276533392,-1,427287332,190744674,814864321,204555597,1605484,634765456,509054171,-1,-1,452743450,425177083,536765217,391920136,878986406,128362007,449567347,583160206,651869906,689817085,907581290,777481408,317730255,308254214,303790555,365249705,423963930,790854643,-1,128850206,-1,-1,511624908,911402191,726848474,-1,533805318,326783237,492480606,646201445,447501667,-1,177459451,676251846,429539810,-1,184185531,496809349,718205787,419954607,-1,320455569,28338169,255639373,960903313,560205798,731053680,867639486,627125841,156982250,944296318,753301318,129189242,696212702,-1,-1,643523657,-1,110923922,749565983,163313441,472568972,-1,535689342,-1,124355243,788395443,856506333,-1,-1,521118137,828246640,332390679,937777484,630631531,879320822,-1,523902144,150174343,-1,-1,-1,666606954,500056893,-1,-1,-1,-1,-1,280113447,350742465,883133729,575732475,-1,537983025,-1,511441188,253106166,-1,788805935,-1,769538323,370192000,868181725,491358037,57192662,921659811,154501707,17596592,292382359,284498511,620992825,294995112,-1,183212534,631142103,956200578,-1,-1,869955339,351014547,-1,822482940,564667,570053060,275047423,-1,48195015,-1,-1,625745691,-1,803301051,722943860,-1,839152673,644531514,-1,277557308,724118260,52003164,229339516,72825826,-1,341698585,-1,370298567,740608469,573479412,268986903,736313896,534604179,-1,377292804,26726917,635534509,-1,983669846,744939833,-1,-1,-1,53384364,25399937,881695165,-1,544703512,437827908,-1,965380391,441493324,-1,684488216,823714641,283025968,171661469,520675496,165132760,-1,281389026,707598856,50984371,755414809,-1,-1,341783532,867324681,714376218,-1,158287853,915215775,302863779,928258968,-1,-1,793264773,594588006,315631100,310542130,-1,627739474,-1,708780499,264609498,289963822,245669163,141152489,-1,-1,124346202,-1,-1,661629041,59409787,731183061,77960310,-1,859101909,-1,339557472,-1,-1,264713013,-1,132352623,753233175,835335135,976048524,-1,17550177,225998389,-1,819467104,911454161,-1,-1,991953735,125004527,-1,562165621,667155038,-1,390005863,-1,-1,-1,-1,268340341,-1,77798878,-1,132917216,125175175,232482520,394185455,516386255,735138555,-1,296469122,926868672,617400158,954004113,-1,-1,460193183,-1,-1,807479414,109009992,226170562,736860439,685944075,733667635,592895327,472296849,512416821,344547139,-1,815464523,749017827,703605433,-1,-1,178409993,591202024,-1,733362585,291779707,562194893,80214344,251324276,-1,764501890,-1,660191225,511050691,585684784,-1,226739802,214142312,514083184,286806133,-1,309956713,769961899,-1,975006749,-1,-1,839753764,870975133,-1,345924133,-1,374944167,410987943,902254812,610951827,619172533,241181748,-1,168492620,-1,331863169,897945392,784157707,-1,804900901,594004403,697156697,-1,95903813,350657782,879561992,623007069,397299876,701001076,357355940,300045620,265736959,314242112,907549174,635290474,-1,-1,987284562,944009031,270803275,-1,118892169,426147986,-1,471063254,-1,277157824,561098725,-1,725361006,642910232,-1,338901730,112421960,-1,577818050,-1,-1,167810070,230982844,-1,216854696,514873150,171463268,728057291,728849329,-1,981683485,-1,-1,977457191,-1,273147947,69730048,-1,-1,880433553,169067017,701833831,134826948,128820602,638757853,-1,-1,379958484,6201565,380704812,667867601,693238045,148538403,96192446,-1,707468630,-1,651470069,488423782,825732768,-1,-1,-1,538888033,142354157,442968142,968248162,-1,257410307,33017496,193390403,-1,-1,278556191,-1,568155836,-1,622855965,892262678,607634646,-1,68036582,933976444,-1,-1,462727638,-1,313474271,7673791,670345602,411764978,403164132,135729244,851234347,240974478,58520389,216824625,-1,-1,523095305,-1,46451510,515987574,104447534,375650055,233253393,-1,733138230,698889145,-1,834435891,987564542,234460996,232478480,347028665,680187150,374176958,-1,-1,713524320,482009985,111164944,76087087,571955917,-1,678193464,-1,494932869,637622231,953958010,472608123,285156183,311159526,87101139,200738066,251202441,-1,358415684,411824003,-1,822373198,-1,-1,587183125,300385420,415988314,-1,-1,512899309,480487580,362630940,-1,925732689,98551437,737474798,811672297,427594825,-1,702815016,-1,966638190,250811618,481390581,942104185,599261410,540920119,483311836,560578699,-1,-1,-1,-1,379796722,-1,758581678,93142889,732725275,-1,828108367,582006604,942930244,-1,-1,647199828,791973748,720414769,465669527,729061313,-1,914781804,387102059,909676462,-1,693235954,416509695,-1,-1,-1,294507165,550059644,-1,972576159,-1,417820125,779158640,669217627,-1,305572129,551553431,271655498,755189976,801832092,-1,-1,230129517,-1,-1,-1,217264123,984302183,167243525,731815283,-1,-1,-1,454969273,-1,541355758,28408462,-1,792167574,187556901,264389121,-1,732481262,232371609,256737972,317988896,170628197,401738238,89161924,624332647,-1,-1,364127697,-1,903269102,717540661,83654409,-1,840113731,785115880,416590426,682229184,-1,-1,503753445,294861064,-1,160499731,-1,428843455,-1,-1,146617242,-1,-1,431803878,670871584,454587301,-1,527609885,73330810,637240404,201898161,930394432,627115105,397516787,359381172,211769147,-1,380120860,-1,423235468,850233053,-1,157668995,861904025,479532139,-1,583884572,8438526,-1,750547198,-1,-1,16455333,-1,-1,252698275,-1,104024806,190799968,849279551,804978538,612892611,-1,98989246,-1,-1,828643125,972111601,-1,543157994,719200689,261370243,520998344,-1,-1,732924879,96149779,995819615,492480148,-1,-1,687434104,932376409,153069835,-1,-1,-1,-1,396966311,579826326,-1,913642652,177440393,458469232,-1,612560502,-1,506224524,-1,-1,207437913,-1,359933547,-1,881178006,807100483,146524501,904074801,809932419,-1,337747669,244532389,447377090,240790787,553952377,-1,357523654,-1,499859853,149785294,455833250,503719203,559655933,55816350,684556768,-1,613539838,-1,-1,112526727,181332717,221144899,-1,887021090,278862102,58497659,-1,-1,-1,987026458,685695280,95321028,405030385,968299734,43007697,-1,351164553,904378623,-1,335810854,362414856,537397505,-1,835060536,-1,-1,-1,-1,834653468,15189916,-1,58213873,230118617,361429513,373854670,778025579,704645798,362966998,698244612,312433189,727080087,-1,489640538,890513070,554663133,154215357,196282219,661620754,453701154,-1,-1,612393821,765438221,265917166,-1,105980268,738394388,-1,826541244,241856081,457553113,59852497,700563239,-1,-1,-1,351597241,551567003,-1,-1,-1,937111701,-1,128739876,767732239,-1,388485093,-1,30813955,-1,726224918,616557177,341427922,-1,599798575,341534957,151307183,22445966,-1,-1,-1,999939538,662994817,752517335,-1,95950470,-1,-1,-1,147881885,234049574,159631585,676677861,290986260,948254269,986327200,219976916,849858734,219591241,400064233,-1,51701039,220744657,221768393,-1,56877584,104338350,-1,27730932,573356863,-1,488531469,824746954,-1,419350143,190945232,-1,-1,280326719,177969734,132516352,359137813,129504662,-1,112977348,349299693,-1,359083297,408308752,96348003,767003056,601232899,864788522,122505193,-1,652536678,330209620,797014908,191915874,111749391,931111887,63021881,779263290,-1,-1,552350542,333824994,397247437,-1,556558361,280126830,-1,6554703,323617856,695740620,270822931,-1,84694269,-1,244062411,-1,794729443,411093406,624003057,-1,100040430,576498830,-1,487176886,-1,107162720,504768151,778912418,771795996,102669127,556220074,-1,709521021,767966463,-1,-1,409782374,-1,-1,658382299,998872859,619201297,734262422,628750215,123687805,624242939,-1,-1,106556679,-1,348591556,-1,525130275,491831486,427788027,419374772,530097227,306584796,-1,-1,77218962,804547642,159361473,624587109,-1,382736889,584995213,84470208,204842914,566374692,203025758,345383186,192594766,167907871,288390534,-1,384948586,154931649,-1,-1,-1,287087871,-1,865434219,282989746,424833207,118480092,98607051,672620208,933715367,153549809,463722928,-1,352503513,509986511,-1,154866006,356258852,910287283,84245838,8425011,-1,-1,-1,294312116,995637828,-1,-1,800608554,615680668,211141909,35262192,706399618,813902122,74992951,-1,23418994,338097402,-1,-1,449254700,499790978,95924780,904130330,229948175,-1,798912719,202044843,216235000,-1,435355550,683974604,-1,116899222,506549590,777794715,667058603,860369161,988036116,133337354,544774099,-1,424743800,6620275,847892038,-1,877642316,-1,-1,701518376,418589666,438236578,75343804,583722816,766747259,-1,268565085,-1,916097682,-1,927046332,640509827,-1,95839762,199686419,942506032,-1,491204536,10445186,-1,-1,879293269,911671561,610869444,-1,329082946,711751899,655933926,929888220,351715125,314147821,11551036,969487409,-1,-1,462858190,561918829,676595991,745047164,962655734,-1,227349320,621960709,380820351,792254941,881821747,-1,182527482,24287488,-1,819986523,138447545,263400259,-1,-1,724775450,189802118,742414358,417248034,-1,981396319,976642151,473182197,864020911,676799005,-1,-1,286610107,37768602,652307379,730842136,514892751,67786390,100806314,244074015,975614563,949704145,627424351,-1,50421684,-1,-1,774024105,146509283,172234338,-1,405883144,341699762,590084921,332580811,-1,-1,397373286,8524379,-1,-1,148248287,934509961,74179652,527501819,524756479,-1,777962798,510217466,-1,31710170,-1,599571044,419944093,89457042,522273703,-1,562928353,103423247,-1,109586025,314112351,575275341,-1,829011922,-1,129900180,438867958,-1,87566171,688864125,561607611,630864110,485639786,802111927,779297939,-1,-1,524916755,-1,353939018,382809102,292292444,482033982,476012231,-1,772279258,-1,274774485,48938117,206781713,705697491,382210253,849365409,187344384,-1,896710930,-1,-1,-1,897965335,56461925,803428482,-1,815351104,964259198,-1,590266638,47076766,603461244,495441406,942933663,614620949,903310827,-1,235649403,849467315,6687953,892510735,704272012,711310501,-1,910617913,196964898,699142470,-1,747177062,546722756,-1,-1,872692345,874239184,13765083,763613160,-1,-1,-1,579021474,-1,-1,384759184,27839251,61924578,557291473,800653020,664337761,229434715,54404470,767764129,-1,505474,488342006,12801211,562629174,-1,-1,860125322,-1,862045282,-1,-1,-1,-1,893215115,686620420,631179534,-1,357354980,221083259,-1,-1,929978278,-1,311137851,487679712,987717801,515997114,748645858,883315913,4039777,151953796,-1,796384388,-1,841866448,97131578,795137504,855588295,-1,87085404,-1,-1,171787449,460736410,182262886,714205169,569178407,104396675,767264181,89656716,845011403,-1,469219376,878065964,503852522,-1,763578927,941159670,410845054,6938884,-1,769159161,103097392,442170450,649342373,-1,693030653,375745159,749915378,-1,-1,172284604,90978836,763654913,-1,234315259,-1,494825571,68197780,902916530,576820304,869028428,664532315,-1,476634957,45697614,-1,-1,594610156,-1,-1,991673382,758515099,734459221,581198766,590421764,845639982,-1,400047567,259596729,305358721,529892557,22896757,-1,-1,314538845,106171351,-1,68201826,80480379,-1,130883508,-1,627912556,767012172,584010945,81412091,-1,-1,-1,-1,-1,524797902,956123925,78741782,-1,591012188,641060782,895604263,541926185,772909164,-1,122797071,537724148,849919823,197107514,50984978,268816861,120277494,-1,-1,909173596,400035334,-1,195131786,-1,737258337,-1,49921556,644049672,474314492,961649681,939437392,179577294,786870522,973724507,443888014,-1,-1,315476781,-1,644057722,-1,-1,857016046,647526083,-1,946690094,25310396,470115021,-1,856793518,-1,390599005,813372887,70657309,412510038,545928171,-1,210787164,-1,-1,693354276,782699787,481473344,925360740,79667323,-1,314948208,394888324,122073337,420616579,168144795,3280495,69274722,262602735,552975833,-1,590981965,-1,-1,886535032,536354507,461586013,-1,538224569,788018693,388070090,940268762,170953311,3446348,-1,674515671,-1,178981897,490473961,204825680,898564330,-1,-1,123346016,278532707,934830403,319784282,-1,-1,114986150,-1,-1,-1,419827673,-1,7219927,-1,-1,-1,867112432,985009202,457240675,677439664,649065106,-1,146616287,798629022,2780391,-1,297194933,68113636,485360794,-1,-1,654973097,429181956,998303265,330356927,999895411,134279409,596222699,407929149,888780868,574157671,557591328,-1,127327638,281344041,425552480,232362527,-1,680418945,453129161,-1,918903300,839617052,868465949,-1,138733485,784520738,-1,-1,545599951,174987181,889218942,608283311,737081800,-1,-1,-1,514008391,-1,4688665,636898245,912193615,-1,244982285,59169047,873788916,768514983,-1,-1,-1,221455559,529351290,981937934,751273466,566656627,776140823,-1,-1,-1,445100637,953918268,-1,381938258,765669769,193039555,371966626,-1,380422464,517567244,379413781,838988959,216376058,462535695,2468059,-1,-1,-1,988765597,-1,318631691,494289655,84523357,630963992,688277810,-1,688507554,974268578,793922009,578448275,-1,-1,735961270,106884437,-1,26522993,-1,-1,939236086,195202064,-1,802441856,-1,513017111,970692280,-1,924846499,-1,-1,621559075,926935798,773730865,338979582,530142829,420624974,844114779,267321373,-1,172994746,403464990,632013688,749994496,754186800,780658041,314982894,32775745,865098830,-1,-1,645413812,-1,-1,-1,474806298,284793294,589970361,743490949,497731734,557965271,-1,-1,629088096,226855430,545860775,983398404,148443688,596483481,758854369,60217399,653966958,-1,7034881,638806448,-1,740515575,-1,-1,718775718,-1,-1,-1,-1,-1,733482803,-1,806793079,319897842,251759551,196994859,-1,-1,427905509,532471736,283895542,712041752,593380063,933947804,901881542,816611440,993655281,-1,-1,-1,-1,291562129,205948045,60716453,178187612,-1,788835796,465034877,-1,714108605,287274562,668024896,51124866,813612422,369546246,-1,533741736,169249016,464292830,-1,-1,580644665,882358293,363681148,-1,641638278,402920398,-1,687486062,286274350,-1,542425779,167192943,-1,192628655,827457051,528613318,150997036,-1,55104924,-1,236965271,476468065,245161541,-1,215362857,887066618,-1,452730912,260823026,671681999,437146023,535413657,-1,483043338,-1,65564804,265616566,580885583,-1,84950495,778637911,340335872,341996535,798648647,307275416,259123950,523426818,-1,138500183,-1,-1,313445613,945794666,247634687,-1,693010484,903120165,433448096,504808275,-1,-1,939522014,841331683,834530287,372180069,895010852,751835887,-1,-1,269893083,774593399,-1,-1,693982773,103851432,929349457,674863764,618698916,80731743,498349694,445560072,474352183,623594150,630750531,382740826,176001478,188373044,-1,257576717,746944762,664089351,688798942,633919823,-1,-1,-1,-1,320874267,749915212,150075962,-1,623455898,311461541,-1,109509168,-1,887718560,67433755,-1,848617388,672486174,458184766,842999409,-1,311024327,-1,982460151,-1,83251436,147624248,617107638,731933983,593707222,393557702,727104554,-1,804263427,638475404,-1,287200488,-1,150415155,-1,709399724,925311945,843626159,692712300,319308073,706628690,227497627,-1,118130604,673037418,315029328,-1,306913173,157002504,73315021,797230178,976144581,492213920,29326813,294284544,-1,609294317,-1,187209357,-1,942037781,429083867,-1,116571555,-1,55283760,847391376,218588122,682305506,110522468,-1,80976812,687521611,-1,817189133,85834682,700855071,-1,462356391,-1,-1,856678921,-1,856608910,-1,145777033,330980644,939783524,-1,-1,177912900,421020362,-1,796501143,-1,-1,405406231,667369062,305470670,96381788,-1,186188036,24643054,148444535,321628948,765075182,748615743,-1,699958635,481188044,84840403,945918130,70745892,327551260,583813444,-1,656927077,51581204,-1,825438817,550366306,-1,5482305,-1,-1,647582059,375860579,139552921,-1,794613706,133010599,421377956,438147472,-1,74821934,595215856,969859036,262264096,264024733,-1,825211213,490556101,-1,-1,657223805,106456220,103988280,-1,184524345,-1,158414141,138242801,815254432,-1,829150211,938107073,253181255,-1,-1,-1,173859046,27922808,802331569,337187939,373217040,619372337,246548391,404815648,744297695,748850530,-1,-1,-1,-1,-1,-1,610309661,437751553,988645447,978615976,148489483,943198722,-1,-1,317246451,-1,984038584,-1,859369954,264079827,-1,337162964,-1,55923516,608990646,549145227,846306809,611653065,-1,-1,315553005,-1,986515248,321465325,235698953,46085429,370286858,587720602,649060061,135819438,706704661,663936187,49547298,-1,12226078,-1,507403216,684500285,-1,138134828,-1,971286367,108867263,973319173,541025637,402306341,649371455,228905948,-1,135445533,990749478,-1,90466101,-1,493676792,804492487,808808507,249906151,77463129,-1,358510166,605134212,-1,-1,-1,524535943,-1,421764465,517562978,440143173,-1,335667973,243662472,142098842,-1,365250461,28269551,914217599,-1,973763429,462719050,-1,-1,-1,166827440,-1,665454181,962318287,617359783,-1,982363774,368093345,-1,591360183,278046727,660076485,-1,114700288,-1,230920224,-1,477402081,83316584,-1,-1,-1,697492314,-1,-1,-1,-1,892248783,363929304,623591788,618607860,-1,247495834,-1,568479396,289760432,222645128,831427858,424642560,387694574,3987930,121751455,-1,-1,564269870,-1,898665090,-1,100329902,296857025,581244553,-1,874118198,-1,55675476,883658846,512074215,46350608,402459174,733808743,794036397,-1,74830626,-1,-1,316271261,273444615,606940849,870741127,335968970,120730088,453974570,282625562,768469444,360990821,512580336,207722651,429266014,-1,-1,877220026,709673269,-1,946124799,545429528,626931872,426533340,-1,307118082,931189335,-1,83485424,-1,274088424,822640131,851376692,866055830,-1,683808814,206225453,919494749,909336383,15558785,307115456,126021420,549691464,865795014,787125848,79903591,412906559,857637047,-1,-1,62177674,548952831,297231180,329560827,-1,419545591,84255372,473439912,31668364,10306416,797384530,192125716,389469837,906942366,819167016,176497116,537404472,-1,346276359,895443670,761098097,454969817,-1,646540067,-1,-1,686127493,507639083,717364399,-1,-1,-1,868946682,989415373,-1,878291037,262388148,27970948,866658431,34215803,-1,918638063,961770935,638075163,662060830,124739337,595547500,360211908,-1,-1,698628643,114922556,879879124,-1,-1,-1,552752297,359916947,-1,-1,875250599,-1,867369414,220016734,146784594,656071447,308469102,-1,571443445,110060265,5707691,888997996,218507852,294546518,302445433,-1,456966296,-1,277321679,613133032,-1,916596051,775266920,569123943,770415378,116490384,125086714,563513743,183765312,-1,-1,224580857,189370959,595430602,-1,113187731,215245971,433070481,784482744,629079666,-1,-1,-1,-1,271586960,204182901,-1,-1,583415707,683507866,-1,5307104,64279982,803282636,620967169,804321256,5541543,276475058,-1,214535211,-1,19794757,-1,-1,86961715,-1,-1,215485163,-1,268409206,571105953,394586450,-1,575986319,-1,149124764,825048608,181293642,-1,722490443,363838912,231171182,220426638,50293824,792302323,926070922,927197235,301155779,757729442,858431307,-1,559706002,612965669,-1,518500253,446582997,248846438,272904611,-1,-1,782493678,190297211,239346538,189150321,633438329,91245993,-1,680929267,607540564,20820064,627150071,477206459,-1,481773519,-1,-1,408071162,581708769,-1,332421909,292704115,453220448,-1,412335343,-1,720512663,994783462,-1,689797152,762165062,549655010,575765428,525422261,-1,692746806,915954740,646373045,302153532,879215026,-1,842960151,271097516,813179623,872657376,11801729,833610303,38629049,332099367,889687475,644881175,246226649,134181366,639722088,446650710,4572265,242629323,-1,700023405,782921990,-1,971366097,530218597,-1,183744590,970415186,-1,217462032,135130873,-1,719088804,659011698,302675952,180419445,448869262,459231492,300062899,-1,629226777,-1,589295495,560365645,245860650,-1,488738730,677950754,-1,304861584,908666026,-1,738173420,-1,855705941,679749080,406317343,558254200,619336517,491222454,450052080,128022796,-1,311460071,412302949,75511776,502256944,-1,891448112,214403096,704117866,414731930,-1,-1,601162618,468743827,612809339,-1,565201349,960473333,-1,-1,841134190,474037427,406966509,-1,99136678,956931820,454184206,957379489,562849953,440540780,590569409,523411773,254321464,-1,-1,250010012,515164102,631036860,398403978,36214304,-1,860114421,997273296,520372140,310682031,288722840,209679807,639415545,477087614,366386540,726537251,976256793,720639573,76783691,-1,713249850,-1,172832166,924035685,-1,676013683,478098537,529964082,87615630,921468770,-1,-1,-1,345302116,635865352,-1,634343086,561865398,442266381,12421117,8231390,758100469,890769810,627516012,-1,998347953,995457570,233899776,488670483,540492519,-1,460850951,734884186,-1,-1,335112447,732549038,-1,1140653,-1,773462559,952411008,43526770,587838408,285871295,-1,236239604,476955566,356615949,-1,-1,-1,570404141,-1,314808739,-1,659252716,503083427,112669187,612115156,-1,-1,405231095,338374466,93496225,401146824,900583071,685767554,752592059,429707624,-1,960970676,-1,839377384,385813626,-1,-1,-1,491018727,409671932,929188898,177227250,524686223,22894608,306811437,-1,291321202,-1,-1,532985558,-1,416167007,620183836,884188670,468950923,-1,802405520,-1,759609725,593180107,706955552,530716319,463475251,609252879,-1,138300154,-1,649204883,-1,186847538,545594546,482088119,-1,53061918,-1,240976517,-1,554534173,99188368,27397184,-1,23729606,-1,863072038,745140677,230070976,828795697,-1,225106440,252666310,232136460,230343799,712876894,556594718,-1,-1,-1,855532444,801753862,99674644,186201791,276651350,61044776,180290626,639424,254354233,725957341,717825415,365390348,104397223,946673140,263648569,-1,762402371,317731890,-1,185683628,897771661,584402255,-1,454869902,325000686,95520386,357551064,252037460,-1,-1,644222180,-1,544381397,815757225,-1,34991066,925768089,-1,397899963,941781645,-1,406334596,405372459,-1,-1,-1,390778522,-1,512856040,497692822,-1,-1,460703095,872279110,-1,919827848,-1,-1,-1,465569530,518537778,56075130,280695047,534958425,754025084,716546485,982966357,-1,775022368,360408460,-1,-1,-1,-1,781556307,978054427,665403367,-1,114678873,-1,-1,29530526,661720764,-1,55635985,225475274,877701578,-1,-1,-1,-1,582888796,-1,126211029,31469375,875907501,483776472,230684028,416888907,445600566,-1,158710470,864201695,-1,480751285,117174196,20258344,-1,494831844,241468418,38780284,36545250,-1,87378988,-1,978153771,461032488,726448963,266287652,-1,394619966,956059900,-1,895908690,402743360,-1,514055802,728657656,719856224,408778399,-1,958187799,561487057,886427029,929024795,28898080,718478982,511675186,-1,956891139,-1,592450001,336096500,725785697,-1,84946699,426581598,505152585,-1,-1,963894978,488104468,148296319,589111089,657169472,-1,33744714,805436505,746180131,929041622,552878209,-1,-1,572271009,378539294,443251385,336477999,243724567,93547617,-1,-1,137287435,749572893,-1,473772163,813089628,511919414,-1,432440803,199758187,796168743,832202469,-1,426521534,-1,829286227,311764167,683272583,521072906,810828827,319913813,77454259,92078311,250684676,78482364,-1,256570960,-1,263376122,-1,178881351,418405950,-1,228102045,132654227,699979385,104224130,-1,18696729,291317654,-1,-1,55198059,-1,-1,413054144,664629761,-1,289140637,913979658,788220773,864102193,-1,833311753,944670715,408903983,293615945,997356522,224831004,505658151,388777169,345564289,500222960,62417566,813960533,197188674,480934333,262804567,32006768,104485753,779641224,737698857,253280614,-1,261599272,10318214,450386765,101705561,-1,-1,971900232,-1,924102967,473709721,-1,735478932,-1,697661143,-1,867105463,-1,245963379,470290392,-1,36505690,159867620,400404509,42625794,722267893,710042196,736354135,-1,686480745,197318085,979312567,716421130,89035,978961085,925291383,19078064,656936462,993679542,263678525,713431445,-1,883619727,765285990,200894245,726831465,-1,914668643,-1,223591083,862587089,-1,64308220,734779419,-1,215924033,756821477,746444797,-1,19143861,211904550,-1,282638827,638461971,872560751,790333456,-1,799017761,797280871,794644521,447871199,109494449,-1,19748904,-1,-1,414684562,239235558,542475768,-1,828507733,-1,948580639,512650444,51753806,936140632,756071535,285112074,-1,137464286,718157555,269307320,-1,44998908,896783028,156708206,330038911,-1,435467002,-1,767707226,890535000,675945353,-1,302183675,904570407,166608698,115286694,-1,112870898,25993534,-1,-1,-1,-1,106575580,920844190,102985699,843576962,769167214,428381868,-1,581334563,60857639,117018394,378496482,421620542,223034354,838630780,-1,704289428,-1,810106055,693822716,707452945,-1,-1,-1,-1,903392144,-1,787058100,-1,78273506,958973659,290735357,22969408,-1,776622901,-1,255035779,975139857,809983297,-1,30743843,275461,802048457,711167746,961783499,6253526,567492099,-1,-1,-1,803445445,437933033,-1,-1,-1,-1,3131357,777096145,696895626,-1,-1,-1,58059119,803263617,-1,-1,381051608,484319431,33713782,677348577,214164775,88313253,754284989,-1,641737724,-1,-1,-1,480399834,-1,282564432,-1,452750084,91864699,568037304,461064096,579196291,-1,962871683,486081646,426216156,618126377,884841535,215043328,-1,831163646,955791078,-1,-1,623765649,-1,219988000,847618542,318915948,454188152,864856853,941570028,74045336,819692988,-1,189902226,490838584,541910834,29553755,988477931,390377478,402820826,-1,717728412,318120470,758048402,618086541,253123732,755877508,594041550,-1,-1,543827176,417721502,742335190,467655788,245711939,129193921,671486944,-1,-1,577767970,545635805,676391515,769052156,889193304,986370862,704670208,830641073,111651117,16443478,840980561,642107082,161549639,668379921,646195980,77013867,-1,544349231,420304942,447598180,344577787,-1,648528323,309679710,-1,590840040,399538720,635934797,-1,-1,467306247,-1,-1,-1,940126638,344882309,-1,146961806,336390606,15670594,891590582,320328197,-1,276372776,134068233,-1,-1,194442419,-1,-1,46483234,-1,633819644,736942696,382688648,-1,-1,681156176,749687269,5968671,-1,-1,39268319,678426100,586411954,-1,411458848,-1,723878596,279953077,336629344,835165324,179834565,385837319,844580813,397458953,629200226,788715139,10848533,902392026,-1,111242705,608268348,97132236,-1,603215592,-1,150896018,541891697,808532814,-1,268756405,-1,566700813,40113144,547069793,101465505,-1,503987413,421353634,31000413,467751033,59804392,878454525,-1,328986855,555086579,622885408,-1,777372761,-1,802323177,300274870,405504820,-1,795398016,988499608,416929812,694811621,153173176,-1,187812375,925341539,765078155,373399337,678504639,501026766,153113718,678303926,340352693,110721851,-1,690560396,86652834,634830660,954423336,-1,-1,74311009,191818642,-1,-1,122819894,965211621,434017091,961411243,622729857,-1,531722011,-1,559700410,-1,362986664,901929462,926958142,346850354,-1,784800694,-1,57389583,898582125,295929033,-1,-1,-1,-1,-1,-1,368116940,-1,34149997,424577294,-1,839962138,-1,839550226,506193402,30392416,504784517,-1,736888931,653735335,211755831,-1,619363772,646857021,-1,274214848,851814648,-1,-1,-1,582274440,744829882,872474123,780864604,449971872,122671853,758006832,709110027,769017133,-1,190682838,-1,-1,-1,27801625,-1,386944346,-1,-1,742944379,917212012,-1,647911812,549361353,665053342,854131281,838369910,68908659,251424292,827584346,-1,-1,222202856,-1,924880091,866397559,643834987,587133385,125398247,952980635,522409404,132820530,524932747,488620864,309710784,-1,528740976,564307137,141074572,507780420,-1,12458827,161732136,382046460,859634317,-1,-1,606574165,-1,372854591,371593619,-1,-1,360388236,-1,567758002,-1,199476899,836601954,385257878,-1,779530861,-1,386390589,769803074,977775758,936638813,802649774,220375397,49140008,785556105,-1,914642057,404223888,730884312,240712093,-1,192375381,393239027,163899242,683873823,948538785,295189465,951038455,981859186,312991170,897202773,357458061,91551877,702082392,-1,463315848,-1,330331229,-1,-1,414113346,-1,115310459,512024387,602119893,680979694,131214595,616457064,-1,212681406,309899843,-1,-1,405028735,-1,337712516,478384003,-1,450684162,896345784,618290682,-1,134741707,305731437,658158816,-1,431923499,-1,-1,500955448,82935772,-1,10900244,-1,137952675,270993548,323201821,62984121,369379188,-1,-1,257908447,-1,910113059,11751730,301842112,957703343,-1,-1,777204421,841742016,-1,121242579,531291281,708254060,199494339,781047794,823466105,575288727,340368948,-1,668422739,-1,912038042,452829535,-1,-1,566899725,361629343,574804921,338076394,-1,289050720,-1,933781716,634378361,973485092,890435101,-1,854979471,742984457,702860046,87638955,981894969,644792954,110304757,940748628,69402910,340493881,576596168,340560270,-1,300485718,953602077,-1,-1,277536150,334644253,222016513,608626665,152605129,-1,963416305,344593179,613076111,-1,776480363,672312554,740538383,68699977,362735625,445091130,575031085,-1,522190316,995023291,819028956,-1,335637478,288897641,650172938,593010900,774269471,831547259,335019333,-1,521582193,166418346,618327153,-1,-1,63365315,-1,516008815,-1,208658177,819733048,682684039,539841283,478418331,-1,776777732,-1,-1,307010260,20600826,679008314,756243257,557663719,134073396,79891584,432753264,530054425,367926825,-1,708033716,256855081,-1,508399388,-1,466248189,536877412,469420098,-1,516179897,-1,973242060,-1,178256612,-1,-1,362150432,368577552,557501389,623152201,415079321,-1,241701066,522874893,331356147,-1,995714263,-1,-1,-1,264378772,184916754,416645432,5514278,377074524,115497460,767624129,232492734,-1,-1,907303399,689708934,-1,715923480,63275757,-1,219007742,754047715,433375047,134375893,619074537,895458460,954902835,-1,569024737,775508539,70513132,25581259,-1,260155399,274319415,118845978,3452597,348434267,870682363,-1,-1,593423991,-1,692852794,112502220,765037704,7384247,15566531,143608135,-1,-1,529267806,525408383,235119545,-1,-1,-1,293058273,646740265,-1,-1,526378535,158067907,928427599,639092103,845850280,470005921,174969680,784240022,607906812,413702004,82729784,878238086,759890346,35115319,946223184,398682508,517812886,-1,83699819,-1,986338146,676790991,345948671,817460756,956564879,87124629,496307441,65710233,211641465,508436412,-1,-1,-1,935135006,-1,639688032,730465333,28612276,-1,807145335,724994527,847903760,-1,-1,791588847,107902711,-1,398691918,-1,-1,272751275,591141747,421709264,-1,499820018,-1,479694283,-1,-1,97426793,-1,683166426,902163665,-1,582051546,522573469,-1,-1,-1,-1,253541687,-1,102946088,-1,122407466,766028736,589279652,162952430,-1,243043069,-1,9815845,290264705,-1,-1,485749774,834009963,417092228,-1,900475054,694018107,283017861,491219571,368096537,-1,623213949,-1,-1,-1,-1,-1,880281059,501931161,932747547,442743796,857621700,-1,387704660,610292068,-1,49223296,54166479,660929766,509869953,206242869,-1,-1,921959995,812618294,-1,143933907,17271713,389215463,911095590,332633752,-1,362522344,514875425,322944339,-1,711312188,332677761,103979837,-1,28543875,285199625,70787014,746330935,411799885,-1,-1,-1,141542780,381730257,626192693,-1,346228635,410932838,-1,-1,-1,-1,357820769,-1,-1,769232244,241946344,-1,235284838,661283196,-1,671585516,-1,-1,-1,-1,366003530,-1,903934498,-1,-1,-1,542430372,-1,131095498,-1,619763452,496059300,-1,230948945,622328665,975309418,223148218,643409153,104014014,903416285,205599299,819032872,-1,798689505,-1,-1,100054609,359682398,868217905,937475050,643190846,-1,547871420,-1,451236903,728289103,90197919,344592586,989587302,-1,969191523,983774835,-1,738586339,113003683,389594973,-1,700512658,952870639,796071406,-1,765218831,-1,852560940,590405672,459066159,326101688,-1,687943895,-1,403228267,987060781,845214412,-1,-1,-1,452686934,57591394,328902897,736280592,155814192,-1,-1,339465048,-1,-1,478794900,-1,124333054,-1,-1,-1,-1,910999394,-1,471690900,996709590,898721535,-1,182910678,-1,809410481,250645793,-1,-1,-1,993286552,-1,126393786,801703280,177852035,937212341,507640931,748664482,853585707,613564757,292575178,-1,246008833,-1,-1,283139088,789074741,693358722,-1,-1,157231154,915096494,285016510,-1,579168723,-1,956395303,-1,-1,-1,-1,-1,-1,229782492,407561171,895316785,-1,-1,369215753,431310951,-1,495221400,-1,337172083,284235553,549265816,497476649,-1,164679649,128833159,911427666,235397201,153206657,-1,-1,-1,30390570,-1,913144780,165446808,286973513,-1,825737601,490862703,-1,-1,-1,916925266,221260476,-1,399175678,-1,715380556,431529015,-1,465091577,-1,-1,31231167,810439916,948282961,-1,56215144,-1,34761503,871425042,-1,537527143,772739273,-1,211233440,703845568,700254284,700790884,473124886,196958000,-1,127971064,-1,185482903,-1,932081087,824702528,-1,468965016,821266021,-1,8292185,214428676,987088414,801422292,349028079,350774146,269725849,-1,830933783,981391237,991936371,889303881,-1,437082661,566030094,44463818,-1,-1,446201697,-1,-1,-1,-1,555652757,573054460,242469905,107210705,465538756,598408223,664847276,247996377,-1,109713889,-1,-1,136259040,31393948,-1,174628150,4484718,871953885,61311261,601868259,-1,-1,689336427,-1,131010274,650556020,877778199,78107219,893924629,-1,42534178,7887697,15960064,578930259,98912474,375419136,622340499,-1,168055078,279336569,-1,153734504,-1,763030775,350876721,442323924,880131291,55573622,529527277,189973649,208132948,841300705,-1,930812807,190031920,960927091,67820981,976902055,250940884,344468386,-1,773511294,-1,-1,633229090,283071751,993027419,925793698,500787228,346855839,-1,522035374,-1,137036583,-1,204633455,958251067,-1,955762786,13726454,-1,77696826,540635069,-1,358958489,-1,269769628,242035881,-1,985989279,655497793,223308121,296723334,868656156,571617142,-1,288977,183754885,-1,227068742,155342477,913556084,15007895,586991826,800788845,469431889,962456890,281365414,-1,313253605,624224498,-1,-1,685095036,78572267,896600790,463563283,720776779,766532037,725741117,684586709,-1,-1,141807796,907100947,-1,-1,-1,416263962,222739462,-1,-1,890731336,225255804,145476209,754151426,-1,310026981,-1,146215318,712923055,837958437,264217700,-1,47010681,-1,829413219,-1,248647485,-1,684037657,861300480,51000751,74855520,-1,157410811,-1,966411794,-1,555422393,419701421,716449186,9628054,-1,268654590,-1,334273186,338461114,234605302,159450985,-1,-1,465798499,999744431,117718591,843700106,39293959,-1,116204918,590634861,253777103,576365774,77347293,397975485,571211193,249745207,820265973,230256631,-1,982756582,551759646,888901046,-1,-1,73370612,553898262,-1,61233828,746968386,386118172,556924870,65017903,-1,597596721,-1,130366615,722113330,-1,275910320,-1,-1,239852182,739541058,953801563,527792014,745536726,-1,-1,341110802,-1,275739340,910249508,699779979,160077892,16675919,-1,485679418,9574971,579846104,-1,104824207,835372709,-1,-1,158541663,465390692,638075005,767191334,660391883,361114809,-1,766746141,582265887,647715674,-1,442984220,-1,23531671,142332190,-1,995707569,601263928,523802297,-1,68252902,642234864,525283716,939471874,-1,884799332,-1,-1,319839700,-1,-1,47286468,63073079,964242128,714925547,-1,336143938,874952326,654844296,861769500,-1,-1,520669086,-1,-1,300542845,-1,1001692,-1,339845118,-1,255050403,991951134,809194237,149938420,-1,880821891,-1,674082415,464048542,167011659,-1,709519312,17305303,799348629,461367911,272501961,606433299,715360494,926568504,114852108,99040553,513203861,254249992,976997089,-1,919070527,-1,841100591,275014106,460386138,-1,-1,446049777,212938826,118091086,141780255,356440008,814792332,589032509,701715098,745225677,-1,-1,588907617,901084880,461911374,592596382,800879612,-1,-1,433801811,46065979,331650939,729879445,470112568,-1,-1,85934820,773541644,974297743,85894886,-1,359397223,760387117,233767999,-1,121205412,78158875,78352651,-1,-1,262513554,467787995,150825789,285642350,472812563,986269368,903292737,166366163,684056595,88222439,-1,689599340,910844393,719246795,718223678,489400898,813750596,221299,-1,875021964,405506043,5141879,390431289,113616669,84078075,566466526,568780776,-1,696667943,417073448,-1,410624641,268636625,-1,775145455,-1,-1,701260790,826911675,484225598,-1,332096164,385798059,463676067,204412973,-1,898875329,-1,-1,-1,709725631,730882993,245311123,158265603,152152854,650873382,-1,-1,466535576,127470130,611021533,-1,985844058,-1,960922287,656291188,964678714,883725442,938709281,403577991,769015259,798189012,220790775,-1,-1,847469461,958611119,858488655,205582786,632996449,-1,631178432,-1,199017396,-1,-1,259769644,485864092,-1,-1,517588430,444049993,-1,63832416,619551699,337221821,496523429,371328414,317195515,-1,241781400,21142975,-1,86159114,672710177,606600614,-1,53386150,552291929,375054482,-1,785385210,-1,445117260,470757224,802928609,-1,446903007,578915217,-1,249925430,397927539,742827168,657977847,753098135,250062149,593447907,771857119,927553053,132615787,-1,420762986,-1,-1,28940888,722269360,362711995,-1,-1,728444007,-1,425854336,-1,701567347,568495105,236387049,226170531,976627117,245192266,893946509,-1,942882916,-1,-1,-1,-1,-1,372142319,-1,49809650,279530411,95732432,539262113,556309703,902714411,246585457,-1,-1,389783243,694869647,-1,41636791,509047630,797686519,342287589,825419845,845590255,-1,762272652,-1,148704640,530122782,772350438,395436339,519908544,648369507,914574942,860384471,879596600,-1,-1,685738545,-1,-1,-1,-1,-1,627274740,682204007,-1,272526279,111037702,711280082,-1,-1,-1,163757593,-1,764128213,-1,337957710,735734126,-1,211681986,101873622,-1,-1,549047858,367033868,567487565,-1,205518315,632557621,-1,805878051,-1,-1,336442790,-1,-1,632695466,603443422,23341370,53520266,679601437,515527555,494516344,598444334,241568091,924955769,441502540,267064863,339129449,-1,299204964,46739483,61372587,560940105,6662414,711156769,486472644,217196312,582666441,763301492,120913993,-1,601290584,738586359,67126285,605080882,-1,153872166,-1,-1,-1,715049949,288715260,940689295,980208417,124235272,422372121,307201456,-1,336536440,215417870,742679896,121038732,-1,-1,447885731,473791081,456651284,461491700,-1,428402833,839092759,181435240,727601586,383846046,-1,-1,923931756,644341061,211486476,237936002,489209495,325261086,417143450,-1,-1,600591339,664327952,363706441,13526632,706332269,70731655,974789283,15267642,-1,158500674,222081447,-1,238326467,-1,-1,611858764,520153615,583217368,-1,-1,303714252,223771790,328184405,474701658,131754001,-1,996932839,694383605,320105510,558689842,21509162,756438747,845657697,309971605,-1,-1,187643835,-1,978930678,-1,85154821,176241645,-1,628456452,-1,-1,79044635,408753551,216867706,980496873,828219133,-1,243054765,458946670,-1,180131989,546233065,443096270,-1,953716982,34001236,311266632,173598806,785984650,158284675,121083892,188280931,392908194,239319036,148317795,486809752,-1,669776194,519474125,119405977,-1,626115975,585620154,947673457,-1,776661207,38995122,476436922,94715468,387237729,-1,172167089,107520513,683450765,-1,13634912,796026027,792165422,489103359,796600457,-1,804842830,894482821,-1,-1,566354742,996414633,272690370,253793439,53790263,270810335,964692679,-1,200251125,-1,739905858,455586127,463116090,344952127,-1,-1,887571357,994806255,-1,21170289,38391499,-1,469833865,181910500,381600944,-1,86363342,205833717,857240419,-1,-1,393210090,-1,437485258,-1,564797366,-1,753975139,-1,878099453,202844369,543649373,236055327,124327057,289150279,705586893,599764396,235116714,-1,-1,565551945,-1,41821176,919757258,-1,25872056,-1,278071382,183573116,-1,-1,-1,916948368,-1,-1,531390413,-1,-1,168895349,-1,733908511,696223383,748585417,402403959,662815314,817244738,-1,867874275,-1,30733793,-1,499845276,748669252,986905781,387930402,927269780,-1,805462355,328425987,-1,-1,-1,-1,-1,-1,-1,497366688,523413560,810115492,248410036,453456145,262649219,644096151,43563806,778265162,674091272,713412555,-1,-1,901454070,375647481,791793561,781679239,-1,261639192,-1,589256173,958326113,-1,323965761,963788232,-1,687069458,-1,-1,682715343,-1,-1,446409324,-1,-1,762690625,692097869,770245063,-1,-1,374485546,809829452,551034844,153999596,777137577,19879119,728645736,737168409,509745959,80611352,827026904,921297063,-1,-1,942539061,993895871,554756488,376825975,-1,503919758,124410570,-1,869299787,417315975,153961061,-1,-1,890773778,-1,733454232,607569086,591808148,225622186,589389615,147017636,-1,-1,612320864,975907536,-1,-1,-1,460465690,511110269,660174426,778467361,-1,-1,318815163,-1,787084476,-1,562306394,807534501,254844645,842610787,311617721,-1,-1,406484522,-1,981893454,-1,986294990,927073884,-1,-1,139496491,18005729,574605679,327371680,182124779,740085239,-1,658455443,628575670,974240434,469714574,323943106,-1,310733381,502520905,229792753,56777385,719194227,459815925,426454763,-1,855540725,421252549,37633780,-1,-1,303934889,534286219,130547470,922618308,343963062,961236195,370617007,98108103,454785097,428726155,145921372,-1,587829284,604612257,543888615,394421127,-1,288600061,-1,781106616,414047906,587653833,853775667,777115974,756031995,929952839,-1,-1,905108761,-1,914157251,-1,-1,483614254,-1,-1,-1,998828570,301650106,-1,975533022,-1,623660551,316280062,485054729,-1,328438298,875255330,325612561,728990299,327682617,375602407,232934840,430161577,516679366,-1,732813981,-1,369613149,441099010,582427234,682414558,-1,427774524,170818488,-1,864383838,581977223,725931229,-1,441677439,-1,719819169,-1,310497952,366167359,-1,429587093,375506000,-1,717897692,357045618,663575303,-1,396487034,-1,395069284,286277879,873754650,-1,-1,613067117,745742682,867136210,-1,440218097,713289359,972903286,716692788,336143581,825838857,732914969,304930291,-1,970555260,171811317,620718750,618459274,382831351,106370556,-1,484809623,-1,23552855,-1,-1,299541059,747879125,-1,-1,995059233,-1,825492539,901021505,657221798,503477840,543375307,264508307,516659518,-1,844821896,-1,-1,-1,-1,322469790,343951914,467734342,841014064,-1,-1,81523181,-1,983851063,982998844,-1,287365118,-1,843487323,828550892,-1,700874155,532257586,930344065,834109709,493184445,-1,318347964,716894317,820890886,365902651,716299734,755698805,738835522,391210650,320430532,306346802,718352761,-1,-1,754696133,772426216,-1,611911871,648208389,329856921,438303168,781217504,786864487,71525628,-1,77808913,638280819,572707649,866289832,933244510,-1,721432058,-1,-1,840159673,-1,451137687,-1,805795924,359743205,-1,728397852,904470689,400189470,969298351,934173191,610873655,-1,-1,973833065,820614492,987289809,134306003,-1,867777456,-1,524390647,320355996,307676807,597270381,-1,-1,102928615,-1,763244451,-1,299953613,-1,818186161,75913005,378571992,395142167,174700346,928562321,797605932,-1,841170166,463592713,636294064,-1,346352272,649058334,-1,-1,101965407,637591651,214887140,692456972,-1,-1,248974359,763887195,551104502,585115884,-1,-1,-1,898097062,-1,-1,495010635,-1,194511203,699553036,944773498,-1,-1,580960946,-1,537059382,-1,-1,678540200,695679309,879444100,-1,966168458,423909026,-1,551310881,346153402,409074608,947254889,-1,440575965,489124400,382101948,-1,389218971,860268904,600222159,528383868,889867192,624414364,-1,90189281,514317450,524338926,-1,519557117,416524122,282768849,418075472,-1,173412072,474665132,947319806,69176401,929433816,-1,102829759,652729083,-1,805363012,920396178,205531728,-1,581128878,-1,114615028,243471517,179469851,341586908,-1,-1,-1,480635471,-1,432137176,-1,-1,372788409,751749773,46843494,747726906,201984968,666813551,-1,-1,767113932,13255036,534208460,-1,-1,420764403,535879678,29256746,717132743,940662817,-1,-1,91262120,406436736,-1,-1,-1,492943983,760321537,599468704,692875525,133695824,920799977,199883239,-1,842435511,-1,856555265,448941622,891524603,14570226,544494473,138968750,41333598,-1,366877308,-1,326087955,292505418,694026942,-1,208841670,-1,83922099,937073346,655953387,279496082,-1,517229527,-1,874631354,-1,133451082,363874757,251187377,168708967,433427804,264556543,590154250,69729514,858343579,-1,-1,741109591,-1,170460787,737111725,997522543,-1,448290784,700030731,738856489,108004543,711879416,725296346,130907454,975248204,152306951,941125079,145780120,-1,-1,18198259,121255516,324154711,493788055,-1,-1,-1,433918424,-1,400810303,136970428,208171632,68660468,887977127,736752704,200499227,110573252,61771740,-1,418422484,85270770,717249789,724927804,231160823,807642009,-1,-1,-1,102744278,133734917,762582150,882890020,642266540,-1,724832596,333380526,762430658,-1,441339790,178463752,-1,170132421,93795478,-1,468523906,498569576,33885828,986909926,-1,98333490,-1,205477999,-1,629840913,254480213,-1,913432817,819079981,-1,776309636,578531546,232420405,-1,86114269,986585757,3639860,139731931,-1,802356468,526607324,195551879,526563173,660404853,-1,90070246,11067926,-1,959822486,803387876,-1,55151904,592993000,-1,232351489,292357482,150188007,-1,501569446,-1,-1,-1,989523430,-1,919218856,-1,691039635,-1,995772932,-1,240703488,985416351,346216320,-1,932549375,-1,391125558,268811480,157791522,277917112,990920277,139310029,403198292,175692278,-1,633688271,-1,-1,572115067,-1,583591158,-1,753338702,353026252,862411477,981046973,500720869,-1,-1,89669856,823584964,-1,247093091,67358494,392587381,925178251,-1,153496604,914587033,777311272,149491872,-1,299918015,829627832,-1,218204594,-1,450333073,-1,529117152,926313594,96649121,-1,21348692,-1,235887493,53716924,33566567,680336836,151298161,-1,-1,3993506,-1,804305098,524035350,902766361,-1,814046630,255405953,22724317,396175298,21993925,855760274,645742101,746899272,587982926,553740917,-1,944275691,600690225,50706625,-1,915955613,-1,-1,-1,-1,999197575,-1,814879163,765659877,253546410,382306850,-1,115578571,622214487,218765112,-1,193753982,683696790,897326230,-1,750068973,294567953,66512692,643562063,643330298,769000339,101918049,419857314,-1,332369299,208135968,879193078,497624437,-1,95477886,603905711,-1,792575643,226967446,358490809,345700632,7650427,695846997,485496991,961115407,-1,686735076,321029562,238626203,-1,719410221,218903202,514497713,-1,-1,422227734,37402203,883419394,236657115,790881591,-1,-1,928761786,738717083,-1,749586145,-1,169338571,-1,-1,51305925,-1,748977939,634962736,632583707,826227889,-1,894041002,104919130,-1,26887538,244572969,-1,629126298,839708079,305029236,794035648,-1,535245281,555242831,-1,644585627,492250499,-1,620025264,906926844,883637159,302504635,-1,354417256,219270947,-1,99663046,909200935,-1,-1,-1,317654502,572894192,312048842,-1,315242315,-1,135764644,651012388,423663205,-1,-1,181020642,-1,-1,868354243,979374262,841979196,587623827,186916651,537643070,-1,-1,933662752,-1,367728821,-1,604345745,-1,593424609,705627196,-1,306532340,-1,595168715,-1,859327631,13276847,-1,507400559,626252326,86662208,651470360,-1,-1,742849727,242432116,923241878,-1,477214334,740121708,-1,817758538,-1,-1,415965361,49326914,-1,106106701,322765233,-1,655441097,-1,494954369,567272480,828616468,-1,-1,87661482,795680441,-1,303414992,327517303,-1,471548215,859017822,-1,864633969,190085050,653314402,-1,391900259,-1,-1,146909861,11605089,-1,692422376,-1,718634763,574383562,366671700,648586528,-1,56274392,332063702,524374330,-1,965819065,-1,-1,-1,-1,399326624,700324384,909375749,-1,-1,277191408,840907294,976691005,502830984,71555480,378522707,-1,610740885,525482816,813798031,57822995,646299897,-1,828841298,120851694,20854718,583472669,-1,994524585,20319124,485649888,-1,-1,395400130,868783110,163138551,-1,971384631,52349999,321722711,-1,891750353,801792675,-1,311564395,-1,70790379,702636507,245180713,850257999,565567649,-1,506016084,915623437,112923521,441290791,192026996,402126522,653115104,153933629,183914677,-1,522709285,811423487,-1,453999793,899142719,508117566,-1,573975351,201672485,-1,195920109,166142609,-1,-1,112348449,789329284,-1,-1,626935595,229563822,-1,358810718,845873577,-1,754400018,206461618,-1,-1,502032070,-1,426459985,121236466,92660217,-1,49800406,52773928,83747631,329507425,534746931,122359582,-1,-1,965881810,-1,26582998,-1,31198655,-1,-1,810541423,372069419,-1,563208075,915074914,71222644,636128734,131932984,819687501,979902474,-1,277129874,438273962,468406792,-1,836888520,702739177,-1,265143562,652030852,-1,-1,650509147,760308349,-1,336355587,176964156,361533586,28305482,343827386,727532330,-1,-1,-1,-1,290269083,896186328,-1,804232878,48673315,284116716,1514252,-1,-1,-1,-1,176599889,-1,-1,432106291,788746553,270851234,24793922,-1,-1,651974601,817125474,-1,54313865,49082522,-1,884279621,245528713,776198327,219732212,256726093,876769772,643101896,117730245,160362003,-1,216835731,231870338,911446610,545436929,645352973,941556358,718655557,-1,253888258,932877642,472510297,683406297,482823511,486298283,548993933,473871706,30753579,247673705,169158237,-1,304658674,69630246,841119859,885928825,690803799,978565108,595991760,327632197,-1,710624073,179260447,-1,734534677,639053604,-1,-1,-1,526780365,366427989,288120008,-1,27754857,907857604,792847918,29518374,827966995,600011518,773924052,66548261,748110830,748820980,231719632,598661892,-1,600078759,886248889,-1,818268900,488156160,-1,955163725,-1,679951050,730089104,593006704,-1,-1,644016237,625188212,39016653,952148676,720392934,715547195,335225709,943088474,-1,-1,255261356,-1,-1,666793413,941774003,653963224,732089475,-1,11991154,67668552,58823244,272583532,12975854,-1,841587,-1,899794136,977447087,-1,631983843,842520345,80368438,-1,-1,-1,-1,67786804,-1,441604888,789003674,31957647,872932978,-1,287222330,820815138,138139676,39289802,550820568,407351242,213233374,-1,677786955,397395427,102355658,348619800,587346047,893525081,117768408,327160370,-1,-1,-1,-1,966326786,-1,402435945,538489284,-1,731721366,246692554,-1,110859496,901422437,-1,900949283,-1,175101733,-1,71796169,-1,659429211,915687486,931233133,492577475,240766945,356763770,-1,677858800,33486671,-1,-1,-1,630273339,169819967,711681397,638307731,753019469,708408944,-1,-1,281544820,749220029,-1,-1,-1,73893456,232152372,885065334,97263925,51435453,104468356,476692486,-1,-1,-1,482315783,810657383,436850760,784076075,-1,-1,47498867,753954132,-1,390534302,204058834,724589268,541886797,74128182,254309236,642552835,156179856,-1,324183437,988905602,91263901,563739859,472584843,-1,-1,798447453,913377996,100977366,130858900,-1,210290661,275975878,69847329,-1,263632587,289861484,249553756,90025439,-1,367356162,29166818,149252783,948533800,450310273,114943569,-1,-1,-1,-1,533155414,154559849,745374155,934747725,-1,952131234,-1,473497832,-1,715611414,895008339,416048894,809681711,-1,712491451,659770325,440874455,873948984,374742308,563631728,426013209,267002169,-1,558675423,435773412,-1,-1,196897930,544865699,512683913,983595890,447090488,-1,508590979,-1,692257124,696099320,829952390,341434945,482900091,426029554,647191312,648677523,666425253,669496720,646741170,250778757,863536381,871204941,166477203,-1,284248299,824048021,509605414,312341365,234918193,-1,593755621,989281494,20965200,-1,-1,401335401,54894223,74743310,249481170,52429614,-1,649006503,582941735,63495242,-1,945183491,-1,904818128,596377541,516659376,560971662,745660869,909555470,578759126,872051412,79573005,727075897,-1,-1,551633743,-1,-1,161857259,-1,1946641,66651576,458399044,-1,707833208,840979489,679050456,814395492,26374917,209712375,-1,147996518,543508454,270702061,590035109,967287933,88169662,172229439,880963667,390504639,882749740,571335273,179380100,202650977,912468606,436796640,618686381,213616710,389684811,-1,903123415,602640979,714157131,565831731,765161707,-1,375647902,-1,447266470,33168989,-1,-1,161992342,-1,806335459,46058686,-1,-1,-1,143571610,-1,494770517,255296159,461517914,767443688,756675079,225113048,-1,-1,339873123,-1,864223606,665528493,865092334,749623363,579852228,774149544,338000055,492719411,254698071,777098618,-1,347719747,532183207,985447127,387892231,471984398,783146230,814867014,419481793,728460820,-1,41825100,983945065,-1,529048519,978822563,-1,896988472,965896082,352075256,311991960,769851910,823110308,-1,800214118,14573459,529148647,307419566,689805203,-1,670930071,-1,902436960,509623571,126790791,488811039,733311605,24140613,-1,724164226,-1,253494086,369806846,572546734,839155062,878606916,11705655,796335319,980498250,966666870,-1,553831653,250675171,968415538,979511672,800345188,739585897,803165148,723499925,-1,-1,919616489,-1,568846866,76995379,315828254,290490112,215869519,803696523,707300655,-1,-1,-1,-1,133632759,518350223,398431541,-1,-1,-1,7292020,-1,332605390,-1,649782235,-1,626812483,946567204,-1,443519675,196888311,448506911,-1,302087854,319451046,504686042,323889356,740578054,-1,161377954,695181635,849960995,480804812,657100188,260719766,-1,-1,-1,988727901,921154866,118766868,217971392,-1,659608283,147572213,-1,-1,84176594,-1,-1,-1,188542748,521897600,-1,666643254,883998460,689759525,775377628,-1,520589296,-1,260056320,199824131,60506016,664193360,-1,927479509,-1,316325493,-1,-1,658654801,445672703,747354795,907837284,511708224,438485203,-1,712702033,852886607,521505740,-1,-1,-1,672981067,258186705,160361007,-1,-1,-1,316960266,427322490,219674569,260959290,-1,446212298,644496247,-1,-1,879424901,-1,310406002,397528369,632212112,-1,566897717,-1,305407491,-1,-1,362386141,411978630,-1,607049382,105293164,-1,759307887,227196871,654465676,-1,-1,-1,819053925,510823667,971199855,-1,-1,500044703,142327073,-1,478007646,536272727,311246450,788475013,-1,330616100,921705519,-1,357486330,266937793,871314912,-1,280046727,270558054,999823666,403135398,-1,180280803,538214945,107404235,184446197,770262515,-1,199838357,-1,-1,-1,472097886,52217791,925806371,973917369,-1,109212536,488903964,478587398,262565904,311761050,49718894,832222347,88158706,856061271,532417325,108892451,14708688,-1,595861815,-1,975076682,966705571,646792904,14330918,49550002,985535100,248935945,-1,-1,-1,704128687,861624747,7755200,578015645,-1,249784617,656521959,219166018,478830572,48682475,852446052,243396744,-1,155155977,750144440,275075941,-1,-1,812023227,146688974,325571413,351202032,-1,384425130,531586127,548916712,-1,4207732,788854228,357408265,-1,38139351,950656468,25419378,722349499,558945503,303927893,-1,368222492,-1,-1,754765690,829246637,554751944,10703374,307449492,354484055,28333366,-1,-1,221976414,565181059,-1,494061890,415619942,317037197,-1,627184771,227550815,661926749,-1,-1,-1,-1,146147282,612670534,-1,54289178,-1,64073732,899744173,-1,687600810,270470212,-1,681606223,158508891,418354630,-1,435424825,-1,529905689,401905922,-1,561585595,471821716,146967420,-1,-1,181808448,912668693,458065931,507704793,-1,204780722,231936232,169670679,-1,-1,5213659,851194363,-1,55732396,586071225,-1,866068246,753487422,64685303,130538916,846202513,-1,536628345,925644917,624713644,262101409,906624962,819901634,997442812,-1,765016779,-1,-1,164908601,868037196,666291194,327510082,-1,574976848,986030908,578688409,-1,909309333,-1,9957112,680195329,145662125,918157957,482018522,742256246,202806997,851604459,887070719,323506227,691170675,446103306,287878801,-1,178574326,150783004,247542574,260500710,67373033,-1,199374033,-1,990677956,822952078,754573101,866703798,615886757,242714799,947100668,512878533,-1,-1,-1,-1,279124039,542797558,132440573,282755860,907973331,-1,769543270,994834546,-1,532729382,-1,498088743,338359765,993629876,91611812,265506062,20708190,520391052,225283119,-1,715782725,776301171,475261124,442112545,105020262,-1,475736515,-1,828177923,89793745,780147114,751489000,275962232,-1,-1,759644854,328058782,680177515,-1,-1,115214863,-1,718272809,-1,-1,370550493,-1,-1,-1,866755694,177346210,-1,489891778,395600389,95281237,-1,33220782,608780317,-1,146172192,-1,128270707,519248918,-1,237955428,360159306,737609060,-1,-1,841073652,366666760,-1,251715386,-1,725076428,14914384,994710947,-1,652386479,-1,433253932,650981235,90552411,51375559,-1,943538130,519877661,-1,623082477,177543916,125222862,827962882,806740135,977441440,785987160,-1,682825876,-1,-1,-1,369663221,-1,56128386,-1,736336485,-1,372004874,-1,829057009,993415311,445581621,288037578,887405761,663362411,468731337,151344609,-1,19992692,244840673,258863045,286590989,128486409,-1,816867859,710389249,-1,781054447,869849622,46440214,377042257,-1,666241726,21859601,229210092,560882888,312283450,932111412,669674568,474735959,-1,203048957,474847272,-1,484221870,718637698,-1,221642285,8105219,627122889,246122132,-1,-1,-1,-1,480119835,434974405,178903593,975440219,633253032,-1,-1,180796291,926534076,-1,855302102,93804160,845306447,729071655,115435542,162903767,847592937,-1,765057505,450118157,173739494,756674689,943956996,500435621,-1,-1,-1,-1,-1,983939374,635922969,-1,-1,487982757,524744249,663495863,-1,281765072,-1,18073019,265358535,371446985,281772000,82500722,967382057,296488335,158079401,717617779,543690592,-1,644065269,798215448,586948059,-1,935930861,-1,-1,126736208,286353694,649738096,829005333,-1,-1,429950630,-1,968532415,283966672,-1,-1,304619296,-1,-1,-1,502803492,317647350,693026993,-1,84715820,41403910,-1,280888220,492238682,44809025,-1,484462173,64934208,31607544,-1,-1,259615762,-1,-1,903577506,261209875,-1,203065789,502318927,492209561,554183339,-1,-1,882039195,174795112,396714638,715504786,752449988,562126775,38967579,306684151,121821011,-1,351848106,391705303,83708675,855621754,-1,-1,-1,-1,820018521,-1,441930963,531738416,943714766,-1,356276471,851819282,731788679,-1,337033006,-1,973552608,899922821,-1,870759724,67091216,760377944,779074426,741514571,515197695,-1,421295492,-1,-1,556840667,324199425,421266922,428610038,920534580,-1,961451983,247669709,-1,801340910,268617728,131549964,237216839,-1,971190488,837271795,948823704,-1,-1,-1,551818615,113556276,994954262,-1,-1,256421967,573873352,155579353,-1,-1,17739999,-1,547606109,435088352,-1,93206005,658250699,501722428,135356175,776811129,294890178,337816511,-1,196732360,188490840,310151219,-1,444045544,-1,929907694,-1,57872248,710449771,-1,455088630,-1,123920529,503306128,-1,-1,133133589,-1,488840290,488458989,835712574,-1,335166100,880303984,-1,601202795,284748588,-1,914630284,-1,461943517,805833298,-1,762630292,892111380,-1,330793380,-1,144962849,692763418,581986182,-1,812620382,330851103,306166053,-1,9479169,192714162,-1,-1,26424386,262230420,517054591,724694565,791586859,228646096,128730844,94446054,-1,682248558,-1,492569520,-1,357681249,818242355,-1,156183481,-1,-1,289686566,383130297,613485900,436415607,19145469,-1,456935229,295092938,877143212,-1,-1,32450457,203072428,-1,516447778,470309438,837682055,785881015,753166714,-1,237233568,730686525,631648924,659615989,626656847,-1,-1,956916078,701121079,-1,232618544,63611723,-1,759825188,130491543,805751033,-1,-1,317722447,-1,318319821,444511644,677070808,-1,-1,-1,-1,907351172,312906567,104221568,875490570,-1,935291314,-1,330995890,771736013,925765448,648586949,687671193,564918626,-1,552966026,982688351,-1,438736077,619971568,756049569,658979622,-1,300044460,-1,-1,-1,622395283,190965047,208959111,910966381,969428374,483766029,554543628,40339806,21957089,-1,665264239,296571728,946341031,239856938,-1,255684908,-1,-1,331960021,-1,22108847,196924344,891196642,736961848,-1,69646148,984119533,487321876,901796784,59545114,382654073,228919518,109716166,432672335,-1,475807153,397783266,-1,62190217,-1,-1,523655384,243348368,837329380,440706383,427908736,541916171,-1,679006940,620166123,-1,770374223,-1,593231904,666587806,-1,-1,867643992,-1,137242366,968121546,211031112,349947931,538707383,-1,-1,971148109,940923345,758554839,906414010,-1,-1,155716687,770086202,-1,352270257,692357093,-1,-1,-1,115500829,66373524,329313518,477359438,968563978,740092205,719011993,172096213,86455282,-1,332683832,-1,907994078,-1,353106011,101954560,640039603,711220211,-1,36665665,763153734,-1,-1,-1,196354847,105639533,312156640,767354715,696185145,391736336,-1,999613416,-1,-1,980464351,297806783,10441060,20307762,741164334,932531476,-1,-1,847001422,520028946,837709517,657412486,-1,721600447,683898724,-1,-1,74694626,970344271,195694074,-1,924037754,310836759,982430213,657212913,528086934,592739727,-1,955293945,612110752,768574207,-1,922850700,480134447,382531780,295558267,-1,9630261,-1,-1,949726479,-1,-1,-1,425527381,352843479,318458497,93047873,900145957,444722603,811283960,426629930,856332037,-1,919914329,-1,-1,557488655,670643761,911731480,198886396,247854146,818709855,-1,551145354,333840984,529913545,351560581,-1,821296745,463879531,-1,674908768,564595830,531490352,55898242,642629521,-1,385813456,448977529,521558490,-1,511399856,747527083,382387841,-1,4570564,730858471,700051672,-1,962655735,345939194,203806622,-1,424597886,-1,365336281,31411285,587748064,564534128,714901020,-1,473712917,443117414,87832552,355033105,785141834,644577987,-1,451964818,519355279,8346534,396658681,-1,55985966,132357015,-1,227136963,71173607,-1,592817751,-1,843454176,628125398,-1,463456211,394861463,-1,502644530,933301169,398910705,857128754,406093754,738206728,-1,609308789,976888070,-1,-1,-1,-1,789003790,743456453,347752750,399690613,-1,878906186,240426496,-1,-1,213342591,759099439,241087510,-1,-1,383446117,966942996,-1,79954749,667986320,169830356,829733144,-1,985935144,214357655,974515888,673573018,829726731,-1,-1,967078565,959147860,-1,620709156,-1,926930505,490299930,765344108,531398819,-1,-1,217024086,451222698,475499172,814505658,643709039,137064344,180766175,267675604,-1,-1,300088134,288046484,386127999,575977802,725387430,58060321,110460799,-1,-1,-1,558391929,333829453,628312535,-1,383440374,-1,-1,-1,211392355,775384718,410756691,272399824,720028755,615689497,671591387,229127730,41557061,961391115,-1,-1,347797635,-1,958518175,607356816,685026299,-1,-1,819682554,950743105,245385130,563460902,937239205,-1,954517012,-1,-1,-1,435542476,-1,-1,-1,843308322,544455223,883366740,805643365,578340248,278804596,690045406,850789004,-1,113953813,124268474,76110652,545419257,838584293,-1,-1,982875572,-1,-1,413354422,543280624,682064034,-1,413820829,43107079,743459108,153746138,782132437,592745114,990612558,-1,562171837,761836730,-1,676449365,-1,132757777,152073364,-1,446062424,843670556,222519519,753136146,-1,650960559,994221443,899522579,654175371,91520910,841303863,472360612,516232619,382201381,-1,194037953,374216734,-1,350879376,-1,42293191,576223787,695025527,675310452,-1,-1,116798249,839447394,158444870,395331035,-1,531077879,659485826,661397145,57763421,-1,300533908,17513333,684807126,-1,439291858,801881027,484729768,-1,770271430,-1,377267475,-1,-1,-1,309409722,416224272,100767914,352733315,-1,907230582,-1,273458119,-1,742734031,347190044,-1,929439531,688532884,192321802,243228276,-1,-1,-1,-1,240534925,-1,476655977,313819631,309951912,217347527,376381581,-1,217344302,591573426,243999592,485706004,261567926,93125538,122734279,714155618,788238954,451087755,110871275,259967684,607072075,978379288,714490546,-1,598515997,53548788,614677836,275030925,-1,996677126,67864182,-1,439083470,645397509,-1,294375907,679582676,544533605,434106447,70086042,848610517,323227664,-1,461909524,443568074,861425538,438024039,-1,820164115,966485506,-1,30674290,33141158,894652,-1,90652441,740416405,269424157,-1,-1,-1,266445425,-1,966990297,154899379,-1,10117586,827947658,848318625,-1,707999264,-1,263707896,974502664,-1,10622653,871641405,-1,572775254,-1,572851596,617340621,917735118,674398021,228832010,731008949,623128519,814552550,-1,600826991,-1,-1,-1,343429463,-1,739335912,251273404,-1,880675622,623106816,964147769,-1,262239286,-1,-1,490755568,986787018,353410641,950603029,-1,-1,485210774,720284653,944680030,-1,632735847,-1,524241193,43265797,294166284,534752823,108706887,619510914,-1,110451884,-1,-1,-1,137583914,299138021,-1,429349968,566603191,121182951,50401965,430167115,-1,795446767,-1,-1,104694013,76400918,282616339,-1,187428369,250970244,500641448,886507727,112786421,-1,-1,778203685,913573680,596975456,467401517,710457781,998367344,-1,411031359,407926900,960669989,-1,-1,-1,-1,841321700,-1,-1,588737341,-1,-1,587285531,-1,695352018,44177429,285389666,112018419,420180298,98113434,177993798,-1,-1,200762961,855007853,608363297,-1,-1,950328079,485660843,331553844,727865117,-1,841649409,996476787,525429436,-1,-1,-1,202720862,-1,-1,117257394,-1,477728420,-1,155063560,224922176,-1,125532253,978192200,286856208,-1,53908994,290010838,29334180,260902011,344932060,734175821,502179176,150991102,31973707,389510628,131531665,920243676,-1,413865852,405782289,322280062,-1,-1,999779123,942312403,263597229,-1,-1,-1,536036062,374448360,548582286,-1,81419037,778114632,132866629,63087124,857573661,203667306,747755738,-1,-1,226028580,218807785,800114234,778512182,708538533,-1,588598837,634845510,-1,-1,574963506,-1,-1,99039619,-1,879817135,146939832,238228729,-1,936943739,206757487,337220969,877956952,-1,705162483,928651793,741564516,721175685,900815606,594072096,661722864,-1,842469476,-1,313501418,-1,242941778,-1,905113552,-1,959453681,477338723,247403819,-1,375108873,-1,180792965,16215636,475368911,742961385,387615902,442175140,930924809,719909469,-1,-1,98035576,695436484,111975579,-1,-1,369254902,987024593,256543973,437513429,908980856,735461922,205774001,918933895,-1,-1,995255486,153095253,508210986,223727177,-1,893502539,400955310,491901702,-1,738429909,434194105,57013662,929518662,155611287,891083733,-1,472239790,490968406,-1,322964290,880096721,134844112,133018451,-1,154182743,99641063,815067353,453532135,869843713,837972136,640956862,361178067,-1,58939050,-1,-1,-1,-1,61206282,612358375,499999987,397889037,591656835,134883280,705453539,-1,862495194,965235189,-1,69846501,49483744,761683387,-1,530560403,8134294,808511627,706507347,733579068,940843779,476823014,772445038,-1,653397055,566344459,681494965,151100642,528633509,331449111,513912047,982474937,305831145,263757326,282303687,-1,-1,675201163,-1,-1,951117000,436882090,934616871,106704180,-1,368687071,842953872,822655437,70940389,54627670,411121592,770567652,729088233,576764551,12127923,559595830,620954254,-1,639973258,19169334,975704797,682464454,-1,794485218,463695,535754451,274821600,708239838,-1,875270873,-1,860789552,-1,58537944,368725172,-1,320254444,132562513,773347005,946012244,692675773,-1,-1,22951526,825698174,561205826,490159049,276156466,916985229,-1,250666671,848906728,236529761,605542462,225592884,742124573,932885897,908692921,-1,967248679,409712844,-1,-1,210689535,712133737,165419217,-1,-1,-1,898576748,970625704,920772044,150806569,834020073,292306767,508027345,474663231,468124170,21359344,-1,468727974,-1,319939788,-1,120390803,289212545,582707164,-1,-1,433874490,899676391,133600796,452347495,744287257,82438502,483615455,737154470,854274273,419435191,46800123,-1,-1,830930581,-1,274183067,927766095,196313946,-1,439812763,820411110,871646849,-1,-1,-1,336874485,378557471,730979694,-1,-1,814518981,513282865,-1,400726046,986250300,633556129,-1,983201719,-1,40292108,789043582,-1,606455622,756564615,966960784,-1,771705122,65766205,-1,-1,22988231,241299500,695963121,806846961,255023440,599728138,716526513,-1,496306050,853295615,540559949,529728916,-1,968036312,228317742,544612812,49985773,-1,128713289,-1,-1,193008511,752532210,-1,812736222,222625883,955372805,608443682,-1,-1,146668716,356491154,912060551,449618096,114187188,298101019,20009296,681390159,-1,808777109,-1,4060761,264145995,516488041,38439399,-1,73420922,-1,-1,-1,114179429,-1,630464073,483931421,206420576,-1,787913469,440311333,519129160,-1,655728470,-1,-1,-1,501039284,-1,-1,637559893,937496797,-1,871284789,-1,12392020,816386847,146944706,-1,64469869,125211155,778196698,449432243,167131660,957365108,321713156,634779344,448328984,989092260,571360125,647710291,-1,-1,549969334,-1,18278794,246671404,65108080,430894191,801227076,-1,270861721,563670873,-1,338984769,299678181,485161336,253429065,934883389,770881195,291527451,542749033,931501425,651581379,-1,-1,-1,-1,591227480,432965769,615287865,913746624,297634737,822887176,787183369,-1,-1,-1,509433611,607365371,-1,932802046,220268045,40261725,817299626,234882326,850322983,-1,-1,122564417,520239367,-1,-1,530930086,63225364,-1,774549608,-1,311629027,147004780,620013069,219308180,-1,-1,-1,-1,675849258,330614845,912367387,-1,-1,162114811,136250083,223411067,31231526,712900738,-1,404120431,646640103,-1,951757228,750421486,441875321,362744967,-1,684738069,65189520,222326039,779189395,405265206,671167638,963427326,-1,837477891,534649504,763759549,833584301,285185010,693727805,276903701,-1,621952179,869463981,297417724,433921838,664938596,734633856,530116471,715093014,971113572,-1,140911432,904615717,223990913,853633149,-1,899013237,184275416,-1,137281412,-1,-1,-1,960279901,-1,567456989,867825367,926799565,251352710,54059493,-1,-1,419914911,768758375,378460760,-1,-1,294429633,221955400,851898706,791209734,79354155,10184695,93580585,912971012,804405351,-1,684307635,-1,-1,344813843,345875083,473152418,-1,653884558,641660237,676917639,240827032,480474626,-1,-1,-1,-1,-1,892827786,146324087,-1,-1,-1,601261211,588911054,401729605,297099217,-1,-1,504004152,930669412,256310889,643712527,452224648,1873986,446053954,751015750,811191979,534082094,68915931,-1,256063752,54640537,126058047,-1,115453246,88470568,-1,968549643,-1,-1,90940983,-1,833564981,519396943,970741974,391621497,478812124,483753267,133477625,351607469,-1,-1,205384295,951457383,362610628,99475601,-1,-1,730510413,308367856,-1,390485644,272460780,904265796,940745290,329769197,694403005,-1,219258412,-1,-1,-1,43296256,428942773,73081736,367849242,104834536,-1,17721494,-1,749451922,989002675,-1,760454845,928038088,753474647,950321764,436653698,14123963,-1,908181524,35743376,56978521,-1,-1,977129873,832833756,206220427,-1,627289110,-1,9492456,552488378,234371943,425427233,128578768,-1,927355779,242771798,804766393,-1,462249877,859692783,604154764,230699734,-1,81470587,568925500,900882664,-1,-1,35554500,-1,-1,-1,-1,-1,839400072,491206955,744718462,-1,822797384,177616602,969514790,-1,513606089,-1,60067241,-1,710775399,-1,-1,104729882,940676892,961094246,631066785,824928646,466303744,-1,-1,-1,528769535,523894552,-1,748132324,-1,45430729,517354561,554963814,465797180,-1,-1,-1,18626370,-1,551113609,-1,289576337,-1,-1,-1,325781945,402416304,852126796,802993029,-1,490644291,-1,-1,513247810,988743530,-1,417892888,539829357,818023486,251102733,19171260,224111231,477264378,-1,-1,466971942,-1,87488993,-1,205218371,-1,536710776,228763185,813950875,599425570,243852668,542766575,268805503,528488364,602542946,-1,754220039,196490981,-1,-1,-1,-1,-1,-1,784907434,-1,950216986,385111508,334155364,820086496,109757201,591117585,-1,520188630,502529164,-1,-1,582946837,-1,9483209,441669168,659186275,-1,765859312,313141832,130453697,-1,801750871,940237718,-1,415063876,571011169,900560185,-1,663414994,898662449,831402309,245704882,-1,-1,616702729,200832708,642965004,347267344,251074599,337176868,983659080,309826429,736691274,988058319,71525713,922082379,92466483,583433606,180697488,-1,752113373,667902675,525944835,342710434,514226499,111241528,-1,-1,315229177,606399303,844064565,174808970,727566703,59064578,204623813,-1,-1,97828316,671497223,186521936,177673233,477715356,-1,122634114,577992537,-1,758905393,-1,661949591,34596160,339347799,114926450,762560747,-1,346838068,243832335,460405458,367664212,493058370,976063104,-1,60820439,-1,-1,-1,-1,-1,253100682,-1,-1,65264322,243678852,922516462,-1,156264247,-1,-1,60242953,992365621,151555628,-1,562542384,825710601,61072502,-1,691558299,560277934,981342852,839934164,219149755,986778871,-1,200224236,417829631,986898025,493866014,926675801,-1,769733090,433703050,133347256,796030791,141402657,362394772,663624639,15083351,993887092,7141025,1490793,933244506,42846972,-1,-1,-1,-1,802619286,19705686,945677314,-1,795257296,917971826,-1,172914227,38919072,156391711,670217607,684106770,916656937,-1,514994816,179269058,626571357,471801904,-1,932920219,279830390,738102754,-1,19459208,-1,606554841,-1,258800061,-1,827597972,366089590,743316583,360411965,940005150,-1,647420135,325761076,33445391,680441684,655061417,546913034,729555536,587160543,224252963,874688418,257733833,256710213,55859837,687682908,879847453,-1,337208303,13307792,158226653,-1,-1,919710342,26429329,365439242,871189926,868945062,929149746,170765453,503241722,-1,924532047,6530462,-1,139169738,981204482,426773038,550382785,984878646,-1,326032604,626875088,-1,178897146,580014081,789428510,156724894,31151759,205421914,404268729,-1,865004356,809217012,-1,221404362,-1,-1,-1,704002449,658055372,509114625,456503664,741247420,892144708,-1,835776672,-1,-1,428087060,49715472,-1,-1,-1,46846082,489082711,-1,953572260,5500815,-1,659767899,907990291,892454976,131641473,710296065,160936790,180347602,100013338,200807926,-1,146185573,-1,688435530,870966904,-1,-1,344625801,-1,827985216,-1,291550128,-1,53739541,975739817,271277984,726247025,98561337,261660073,59814926,46464150,910379899,-1,-1,532774065,579292688,925215624,216329887,-1,-1,32002114,357608151,686095826,-1,-1,-1,893253245,231655003,14864577,233387160,17113474,869318052,-1,922589763,-1,-1,-1,906389024,-1,721288324,166582114,677448698,114875129,943592067,604533800,344746114,176154438,-1,209588904,191695674,799088646,665665581,-1,-1,339791340,400275019,-1,668842625,386792586,-1,214199000,57904433,12314030,668873301,862269411,905338327,409915553,603761200,256761415,573601507,515276084,763901344,609364929,-1,-1,-1,41376031,379869743,-1,506157198,640000167,-1,861662627,-1,819430397,335275903,916434988,281212957,469952514,479038802,46874166,101765420,168764929,177093156,977823408,363862200,16433440,887214892,940845472,81828033,470818556,366746634,317718967,536284961,200052365,-1,7203815,52245584,330660849,587190643,-1,154714631,678167204,-1,-1,-1,-1,327300586,85529220,-1,612990948,-1,-1,-1,701048807,222863531,874798580,128465054,-1,829049949,-1,134753106,576638206,-1,89786316,719673508,-1,907925582,309368263,182886036,388188480,556747369,-1,-1,-1,-1,244232966,-1,-1,-1,465277335,-1,613997364,184791922,463077679,404710455,289821316,291344987,148154653,452415984,128501050,563716577,218476208,-1,792114563,797177540,161345769,418854441,833686800,423878357,108500212,-1,630788756,-1,-1,-1,888998132,886624033,987319347,33909386,-1,-1,288528065,-1,310510042,455279866,465339450,555974243,586113407,-1,686198653,-1,255653635,-1,100406369,48093587,20043161,-1,991319422,914582058,375115148,-1,329850905,46155031,975396755,760476174,495475569,-1,-1,681820209,296753797,879993210,289304085,587530074,943797535,-1,499533856,356126145,-1,-1,309828245,876366907,-1,26178270,-1,-1,630853547,298355043,65145962,409822602,-1,806355301,490788571,153248050,393002642,392043186,236598242,327839029,495772853,-1,-1,932019737,274368082,-1,241735063,-1,281358310,-1,844776592,905686605,99765107,598853993,191125789,380476030,698061534,-1,479448908,-1,24134533,-1,107449004,830788598,762908440,916843690,-1,334222635,593368601,900183457,-1,997423397,-1,-1,616120733,593977666,527677960,-1,11425349,-1,-1,357287887,360646256,-1,757810685,515418163,452253918,-1,416169824,974346500,-1,473614100,-1,909299910,73652959,367249469,-1,313766994,347585462,887312687,993816605,354712770,655412832,-1,-1,-1,378184493,-1,240612252,112573070,965234411,900232443,430741025,605027324,173432072,229354629,-1,959307520,17045104,72008976,-1,-1,558346301,972010228,-1,-1,534336983,110879795,495281478,159631354,-1,347047244,285955485,111516177,-1,673642279,-1,838416399,962030785,649585176,600815384,692648450,217970692,-1,-1,67840659,652993360,401631851,441100321,622410753,531564859,-1,-1,-1,749152985,-1,-1,610763171,373512523,-1,482461412,374844293,314768526,80194841,221596561,-1,7142330,200774394,357578091,104791822,395596167,-1,568970223,799843781,-1,304565654,538086415,-1,147987241,935563431,323875698,630755011,492399265,284217400,73833402,101759166,-1,139138958,780721239,819637091,158874432,275215878,998333082,-1,156577723,917601195,-1,190668594,-1,947696852,-1,240669652,969484554,-1,-1,501563551,15194150,982192996,-1,459441915,308087178,860527267,909875448,-1,948418996,55738561,728467755,-1,-1,987491606,-1,-1,-1,59659167,404713907,464620408,-1,184490200,-1,-1,-1,-1,180174174,-1,77519061,473834632,572857093,344342230,139580724,482532960,-1,259407650,988580799,295337539,-1,234074751,-1,-1,553589137,548201888,348589697,-1,-1,572953734,417673269,387522853,52471923,707028824,298272848,871496508,699958431,460340420,266373659,787392468,389096901,601279604,-1,275910556,975184966,113107471,-1,944440175,-1,389696797,576103358,-1,490024559,696830316,752362724,61444676,-1,932496178,266981396,64041150,504822533,-1,426602302,995960052,-1,277873318,299819859,928404982,920378286,-1,-1,-1,60399306,-1,472974112,-1,14031993,-1,91944161,-1,198305135,201899275,-1,471073295,-1,823970973,-1,243199647,343219059,596721130,301338955,153731737,87242413,785180451,-1,761579988,995038662,670998249,411459139,268693924,742207794,-1,-1,864596748,850785270,-1,397561846,709393391,853543118,-1,475473229,-1,-1,-1,934720617,-1,452174487,421318101,4187794,211101213,-1,650518286,-1,948205874,240272726,-1,714819387,529703963,210091237,495636903,119305063,-1,85768640,818644172,43987860,664442634,988774249,-1,515606192,323370323,67909312,953637861,694373948,-1,426637658,-1,-1,924208544,-1,-1,844624489,419853916,395025521,-1,-1,731383509,-1,-1,95953503,773713069,-1,-1,284160365,651442658,506321083,-1,-1,-1,-1,-1,-1,-1,460518156,-1,613855444,98257335,497604431,238207172,754741979,-1,44624262,-1,718832061,237587461,125682409,100267876,-1,-1,201953144,240411207,557282604,150960898,971984552,870747338,-1,303492867,729210259,653882325,117315225,735116251,918016401,547786743,735402537,-1,420021724,475154051,211667670,308526181,-1,264458675,897441646,776407746,666017894,287895917,717408338,200208605,486286885,384891348,966844062,-1,418205210,516757074,569786459,255263926,390385107,-1,742249695,442728724,70098440,88398965,257722916,890799440,-1,-1,-1,830471803,-1,-1,536660457,-1,-1,342183765,-1,441492879,938626413,558085131,512831020,63359329,320925166,849131471,-1,-1,-1,491927743,946370817,70269337,320727092,963843033,-1,5574340,694321319,-1,-1,676531180,-1,-1,378788954,563791347,-1,429124678,843673886,28609285,-1,553876425,546879895,-1,578450104,88334381,782264770,253683823,-1,774877199,298224452,712755600,672836821,-1,620358425,158389622,-1,431822174,72779051,-1,993113600,198827220,-1,-1,915286604,-1,74115950,-1,71547856,-1,32595302,837888487,-1,-1,971439957,686118335,-1,233042507,870382432,678344428,944560838,561573910,50178302,267422999,-1,550089844,786281556,817197859,896029912,885756879,656871074,464064796,863079280,-1,-1,516867617,-1,154845078,96679124,720032397,53402455,841980243,5521945,536512223,372413280,500710424,-1,-1,-1,-1,559626253,408065806,461601889,-1,-1,28733537,-1,-1,908824722,-1,239096217,111937686,835747780,373472584,357070878,900771598,895925827,-1,709361864,976209276,-1,443811814,148416542,66010496,290880891,-1,888382761,-1,-1,-1,776086261,840487318,880302150,183744424,372211893,-1,886866173,-1,-1,898822409,631582763,504894251,875339949,-1,186365410,534661768,198376052,867765649,-1,-1,512667240,-1,-1,965652956,346445475,595944786,-1,220984784,512783302,81503687,482698365,740965706,543235601,848628394,588987477,-1,958948893,647641159,472984844,-1,-1,996127030,219257946,-1,149946933,39028897,13870564,-1,511767378,799760067,731353669,15609799,19087949,405411691,940389673,513637227,771447133,423779628,771038879,485679453,394306981,509264623,125938412,189316661,952527003,373486481,-1,-1,595590890,95705787,673476946,-1,-1,-1,713515512,729631738,971896252,653081188,-1,679676304,729873866,927178576,-1,620880120,686382264,79488454,-1,672944626,-1,-1,85068839,127729061,877681090,-1,192952518,612289908,869931219,-1,-1,336727461,313833315,589260718,-1,503999479,166385206,12979677,163757650,869324685,612590712,-1,127682214,2700715,482713716,755617913,879496329,447520189,-1,903091117,894943254,-1,196770177,230444813,707077817,988070491,611548414,756923362,664366584,582502961,353617599,-1,33606659,643141937,-1,-1,105612837,890720958,384279288,877224907,-1,706909411,17927416,-1,-1,-1,479101558,748390097,246479210,-1,323201080,-1,-1,274872644,120495086,-1,-1,968922825,540589388,556551237,343243912,-1,-1,379188895,-1,275257105,510670703,429618591,206687591,588348290,147818258,-1,-1,443381067,613618541,440093031,507636312,144470071,470895753,84979934,42923426,-1,-1,469153128,-1,833934183,-1,230026981,586312915,852507353,60561122,157625177,704416549,209448473,820464526,-1,518826291,674824623,328618646,180037369,790845482,-1,240482160,-1,941737476,704189647,-1,-1,991752392,-1,764017447,396864691,17947216,281327977,918587928,975077617,780259889,-1,678409136,213644879,177671268,-1,-1,666173297,295399685,397084523,880667341,650728392,971636044,-1,326927752,855518232,700896465,64217105,882304578,726517635,927577154,6614507,991773780,-1,183893518,832858288,231414132,538487208,721132380,-1,715671956,743151535,367625744,-1,817326306,582866960,-1,185798000,-1,522534223,533944332,524364651,-1,886411430,160736041,393348532,-1,-1,799226757,144912872,236186577,662439148,440234773,735285558,121519143,344957163,419525189,815352018,530115790,120768062,197156129,251097789,-1,-1,262699238,-1,494859322,-1,-1,-1,390659598,20032402,705006998,-1,578183951,-1,612772851,-1,288274241,969581690,480675629,694683012,278692649,-1,153185479,840329895,474151919,530824194,839386997,548708360,726817491,595321696,185207471,-1,-1,78642519,162624037,775425482,965407587,-1,-1,245146790,-1,851310751,-1,763159746,718363182,-1,-1,-1,-1,594449743,958326288,461898033,636319808,-1,643289663,573099517,363581827,-1,-1,313728414,226301819,957102520,844204783,159491993,797494703,44529086,981255907,-1,910077341,494391912,-1,942596431,-1,-1,700839948,384892891,359803749,-1,581993759,486565243,332482378,608639284,352130419,-1,410651697,763610739,278536615,-1,-1,781116023,-1,-1,-1,874221872,943263153,906115527,501668953,962697757,270979646,68415575,-1,-1,589778632,32093296,-1,859744745,842084785,545204844,-1,547850593,193899896,-1,526668172,855761721,-1,-1,517131593,-1,552660633,266536815,587909913,133298229,662386099,696539574,884514587,-1,-1,-1,243097317,683093338,668775681,215097170,-1,139800833,983029304,915691838,-1,65228686,-1,573834900,-1,717702929,-1,548202644,52260698,558002112,601121092,123647753,37093603,-1,835662861,-1,-1,746872578,-1,603124077,-1,182127036,832600688,-1,-1,-1,235491933,951870276,807843983,298352089,-1,-1,-1,699018330,-1,847694985,-1,-1,-1,21963098,-1,896115442,-1,157472264,555377341,188628729,266875055,-1,716438174,480549689,273881817,902946651,-1,289411282,-1,386100029,-1,-1,686579150,277030853,-1,-1,980265121,407446924,814122602,727640837,356009150,-1,251439361,604838274,-1,610735863,-1,217779082,-1,989101312,861963509,-1,151671695,425394242,456170997,146182316,143044247,89638073,186700678,325530847,375515229,-1,-1,57180182,373403693,-1,822165735,640118528,-1,-1,13688802,-1,-1,-1,421885178,963476105,-1,424803900,-1,299201326,528505143,264838747,-1,-1,188025900,-1,182235594,128286990,781594012,-1,-1,835337354,-1,266098102,-1,580459283,730600566,974802519,839503815,659717801,548918976,62326512,401848573,50235397,629215984,-1,291146472,149655294,443623584,-1,905503557,-1,740255189,592718060,180794135,440613317,-1,-1,-1,705789992,-1,-1,292235644,-1,482081708,-1,-1,117568385,861562010,395616879,258186439,343890772,281017423,671186862,300522745,-1,573783958,991996092,809456297,750724618,31457137,-1,-1,269991642,862127900,598313281,291044,21276554,290439579,812103559,-1,-1,430230786,250561269,872474273,7976245,104256024,615323985,-1,820228081,665702520,686613362,418586949,176112156,324906885,894215526,-1,880147462,-1,488232812,179758272,-1,240523387,-1,843204702,2467788,-1,-1,219050580,-1,43737811,-1,432682979,188212271,272658290,528977109,308223619,-1,279057958,984974096,216128846,117929526,-1,283067254,914514412,450010900,-1,186083264,941851888,-1,736744270,112979633,-1,982018987,-1,557614160,-1,953769147,360154619,30923993,-1,334868644,837257213,257529762,468478863,458372134,372667461,-1,50434130,179471231,-1,-1,963026081,-1,-1,-1,267472294,-1,881595987,411436194,798557655,573623293,251154565,831424464,514238966,447571921,359128596,-1,-1,402413483,496899847,457039797,-1,177718736,714015519,152502484,-1,890274313,-1,902467857,972251685,411712096,-1,795949703,807535162,339769839,428579163,942480039,-1,562803092,443076634,-1,151052051,418907155,42609744,344964221,-1,174544984,311386640,-1,670927358,50788417,611918485,650735910,901425158,-1,509332544,-1,788741184,987677669,-1,-1,558100717,527983943,-1,-1,616069120,941525605,891261543,-1,49663203,322663933,-1,-1,409284763,811917269,490018904,924147627,-1,623211102,-1,841959299,-1,817856153,323310355,783011298,939911315,2713852,-1,-1,352214867,495651349,752836386,973750403,-1,-1,-1,-1,-1,-1,197637962,443951220,-1,659495381,190172270,-1,478130971,680405617,946644574,993760354,67959455,-1,171162921,361007686,-1,-1,689086006,222961481,530598011,-1,-1,254050331,-1,691834295,370912188,-1,143472971,442761757,-1,-1,635419321,958972203,-1,851171524,87384561,766965701,407234308,-1,-1,897189094,-1,-1,-1,-1,737342109,-1,-1,-1,-1,751041533,-1,679075550,429654589,703097203,458084675,658773378,725336581,644718462,-1,705546214,618865922,619377369,-1,414458919,191690735,-1,80639360,155522356,755613925,-1,919883090,81249855,73350658,359159324,300963109,471733984,-1,924576838,535432329,546157282,301496364,-1,615371725,916323967,444836146,824673747,-1,-1,-1,736376467,166124129,294043737,988930266,328691535,990333761,-1,858041944,-1,919579034,-1,583510618,75314123,297267926,75406357,-1,892608878,717779070,89365038,-1,-1,-1,950578931,140272730,-1,278172027,541435505,752603852,10305209,196714962,757429222,-1,-1,744533108,368829766,60880212,671882196,969284111,479713458,91261890,-1,74767679,337880859,-1,-1,126138032,851535671,885891140,109112545,199298713,602160268,-1,-1,979445806,-1,-1,-1,271916094,-1,344403080,-1,443496296,620839500,219322265,273227635,593094943,-1,430356660,732536479,196801203,544822195,-1,973242125,-1,504131806,-1,-1,-1,-1,-1,912497271,-1,-1,874290351,115558316,214130985,989071166,354420155,679327614,992190999,243048584,621088916,486303100,-1,996696999,320454626,865469085,402266321,364678110,270603729,352166536,-1,152054173,72080408,333450259,590716581,-1,2674953,170074338,-1,400743907,-1,-1,616901129,-1,823579099,508580648,275477977,654532017,-1,47120872,543727344,-1,-1,429906405,847493913,599833108,865317535,108010210,722855982,245699322,-1,15738539,347967984,-1,943968411,-1,624087237,495455767,84847673,-1,-1,-1,-1,455708594,638195939,-1,295022027,195807589,540835200,342577112,265907046,-1,848358696,611214870,477196496,419154314,289453989,-1,81621659,825699245,-1,312879624,-1,499833870,205384251,-1,-1,887367833,-1,374326522,349868252,327308259,-1,748746527,993694974,484249824,772952538,869792754,533955799,786421924,-1,594845282,-1,546373521,843120369,634740828,-1,988172350,680171896,373027064,-1,-1,-1,965784676,148825250,231194960,869495277,493417087,979645696,949643107,-1,776812077,38321877,-1,-1,-1,874441106,871259832,330455090,295576030,681663241,799781861,-1,600819167,623696087,-1,201774817,936021583,79650965,-1,853296036,491563489,769446428,-1,-1,-1,833769918,-1,679074960,21600006,848994224,376460179,290410211,93650773,237189773,-1,324660332,-1,320640842,364923800,558945783,821911689,956098559,127915146,623797781,-1,-1,588009175,328746209,441712363,107060926,-1,791444012,393396927,-1,497853422,506692420,-1,315902057,595441128,738645295,-1,31976045,81299899,964154082,36981634,336308539,465478050,304226284,-1,249401959,633938590,261716504,-1,568547760,294051761,80081555,-1,652663227,249734349,758025277,-1,551143935,-1,288896835,-1,541454725,-1,-1,848136227,-1,318252641,627512631,-1,784495332,149471747,-1,517510805,823142002,520329993,140892397,-1,-1,-1,384091141,313826257,-1,41172927,817344043,949636462,-1,-1,876245559,508716689,841961480,-1,536413816,-1,679860931,32754150,637600372,-1,953458587,557822628,-1,514518849,-1,594620686,413684486,-1,-1,510179289,647882719,48716024,851131590,-1,440048992,328283804,269517011,191336137,-1,772403569,797517699,718515173,757328206,473254856,735423234,267217136,-1,745228772,-1,-1,-1,745382889,37902461,-1,-1,606924955,138851050,392766506,443331171,973989463,205305409,-1,570299712,409691156,979851280,887142508,-1,52731402,-1,-1,697239780,-1,332922354,-1,189022010,549893851,98367999,-1,413825785,775454674,505900739,-1,563110586,-1,242418291,82108015,-1,288446365,174366414,8902633,988658104,407073525,544269306,649019993,-1,-1,974377693,505982875,-1,606182061,343035160,958351171,216334498,47104697,645257802,-1,580128046,-1,-1,337183905,243114568,512425551,742870138,708669069,-1,-1,450577822,605837870,299246930,590005530,-1,339130544,557536832,974421725,208679866,251443011,847357401,-1,-1,-1,-1,824350632,46903486,-1,931302826,674834321,601637418,-1,329155298,-1,-1,999797545,791156244,632572635,807268000,-1,800361795,-1,-1,-1,175609400,512083961,-1,254693975,246619855,852863637,-1,550190895,982633213,-1,-1,17597681,354734182,889464242,-1,716432997,341344920,156265481,-1,896020376,874138444,-1,-1,457051691,312684347,-1,-1,963121278,877284756,546989957,494786188,237643505,1137150,33004196,-1,-1,642056765,-1,-1,-1,805600829,986294443,128410570,291667890,401933858,133986929,-1,559537063,943708666,327846117,74031821,743610648,542632729,785051357,-1,786608807,193488964,791782786,169165986,946595418,929457280,350789424,875199680,895867652,288904485,492646971,600262900,922225469,373368051,339848754,385790767,576177734,-1,-1,-1,136390783,294448033,456207680,292462210,-1,394710097,704669321,980131891,445254307,750623482,644007792,432622343,402817086,423068937,250137895,961896261,29809802,-1,378122883,275176630,996647106,29209943,-1,781226634,935726619,161031694,-1,-1,926164630,551538681,-1,-1,989341653,87497897,810886019,-1,361025809,860042730,81806083,214182203,915226925,683186820,192444079,-1,807060047,996513914,30169834,710862497,275744186,-1,603064507,389568547,318576364,724181096,779128200,-1,82713725,-1,-1,884404896,22368521,-1,557273866,930111713,-1,321238615,801464944,245809768,178892716,896115490,958280315,79115715,782357190,-1,25527079,674698676,894801255,-1,517506769,262537186,757396703,390752410,210586045,522454407,128160715,764729248,294103834,71714463,424882066,136589292,634999568,15143522,824542893,-1,-1,106788310,807604688,-1,700256405,106249307,996439209,624859933,-1,-1,-1,23189427,830401242,-1,-1,893292259,-1,769916691,543407328,219936411,946708146,930490718,279527803,255593958,363794252,-1,-1,362903573,491806980,-1,920223833,-1,975210442,854548958,409650253,-1,185559824,583819025,-1,343472725,-1,-1,649010135,373877686,793530733,355901448,8870526,246893338,-1,-1,202502357,-1,506638222,85011274,559177423,736027123,-1,79054749,-1,329046474,848382040,918104265,-1,-1,246862000,324889879,827494245,527236928,596169817,-1,53695631,89416210,413848132,966844403,-1,619682617,-1,-1,741980496,-1,33106232,462482466,339222941,768525941,794799823,552071141,-1,-1,-1,-1,-1,995425886,989012343,761798051,-1,154621160,5018358,600484264,401503625,720847440,-1,231628199,-1,475170019,679329585,778775765,967689464,342530707,491280400,889243685,647625624,453585029,15280240,926159047,363138131,644009075,180545108,-1,144432223,-1,-1,982596338,-1,364126130,262966975,367158646,22653568,987917508,139481204,-1,117633775,597281461,-1,309012746,418006555,-1,971699581,-1,622758791,210321089,-1,417355625,-1,-1,600756540,595784934,963548357,698254704,690661425,976777924,509196872,-1,-1,885760964,510637735,985919471,192825590,-1,218476852,9196598,-1,23309874,-1,-1,-1,846420667,380957057,-1,765534039,303401357,981200272,781958693,415108195,534498904,788744456,-1,14968495,-1,-1,-1,-1,447276645,284906759,-1,597019457,850670294,407314952,21408102,657779005,-1,767067364,36158749,530033344,-1,-1,951481959,-1,258268637,529041093,865831674,139666835,961872416,391841900,609294801,621370427,383319698,688634274,95139654,491456247,-1,-1,684278440,-1,229990232,311997096,91076576,702994198,347064450,-1,179349226,-1,282759068,-1,659239666,182054873,914443245,-1,258851444,779531162,763808597,328413544,-1,-1,964633495,4134715,334980367,813693993,-1,232150261,-1,-1,633948663,472084190,824773370,252057408,792361445,226604696,931244504,976124701,481495523,942120723,787033215,385433415,210730749,610973873,885851342,-1,612363400,-1,31739032,115441749,214667701,-1,-1,-1,291321299,944884172,724489822,836121639,939379703,318780799,-1,-1,180656577,623039584,632531675,520232318,-1,121876460,831846335,451343896,607947466,602386004,206155913,-1,-1,-1,926624387,103115189,758225071,-1,-1,596280832,918100147,816173298,557077520,125005063,370986859,609620703,-1,677410679,-1,215097760,154814309,367980138,923826239,159781635,87347174,-1,-1,-1,-1,951718486,290140261,114546652,710658659,805256318,512243857,613260873,29180450,6835688,534174376,608700151,105684965,554387350,-1,58468811,472544344,-1,23032666,859755877,-1,847858000,-1,-1,543393001,-1,-1,777994922,-1,-1,160858328,-1,-1,-1,-1,501317792,43441581,531538173,986983231,321510566,970727350,535615326,243051356,71265462,765230386,829180778,471890552,452050268,-1,-1,-1,563729235,706936367,203349783,927495350,29076942,849221912,437580885,416490130,-1,808749973,-1,300732132,775906679,-1,560369260,820988610,839621105,547654305,246148869,-1,645903392,-1,-1,-1,55909238,-1,816821439,-1,-1,479363348,-1,-1,118787241,701715591,745890511,291585399,181772768,356885589,20565355,-1,982387987,947677275,917930952,807245209,-1,-1,942172100,944356579,990714818,4876439,61467092,-1,-1,212977798,488122155,592272659,385536039,662073555,23040615,801131494,903079719,770372907,73150730,-1,946001060,547353431,-1,70518828,138681260,945377820,607383941,755852699,681400845,238483124,705585997,-1,772931672,-1,312424109,860376054,413653131,295825263,263109036,448066775,972344670,956269294,367177538,-1,790305660,-1,14590693,185590443,420841656,763726197,538453112,523675243,-1,62184839,467117705,160985579,26207837,-1,816837469,-1,783078140,-1,-1,-1,817111405,544089074,421689412,988232027,455740358,-1,722818354,-1,290063774,204335387,922568019,837186979,201985897,571603177,519185343,393982135,460100352,-1,229728167,619241269,707518821,882932544,424578818,-1,686716820,49754280,165404357,306719156,368951634,392420355,480540438,768147423,669826051,103325774,609258685,-1,-1,931260814,244957919,568550469,701574697,567957555,-1,130448960,327692021,301189262,-1,838806374,824991152,254311590,-1,514630932,702977445,979376464,-1,-1,547205041,883074374,309780505,612565116,-1,891278436,235102869,335076411,980352605,160488652,648484024,-1,114830120,154846770,88169588,545864101,559064945,726703309,409412915,204199300,917896570,-1,-1,819985667,264917480,-1,532243634,-1,-1,-1,750541064,-1,-1,2643864,589909395,221516211,-1,367678554,914662102,688199285,609733398,219273255,803595314,12602852,367032764,63801611,726185867,642773994,-1,-1,292500642,534606419,-1,466131472,689304428,461741275,746825224,806998849,248183958,-1,68503427,-1,-1,628781987,-1,-1,520886331,-1,-1,649207424,-1,-1,457906591,-1,840954187,-1,-1,378105648,-1,610196126,-1,551766608,422159546,-1,-1,329530276,889007568,586256764,827006832,-1,-1,727356207,499202428,-1,542806283,111005104,-1,737832644,-1,746340541,-1,-1,716784140,452636114,779474334,587217141,-1,-1,231392387,811238685,753457037,611738242,-1,221582092,-1,-1,-1,906706043,275990357,667054997,522593348,453848056,-1,288738104,934796802,-1,-1,562095020,792978138,35500920,894743548,-1,-1,163462088,80060446,950766159,76902249,919962690,-1,62485834,-1,-1,18328374,799252993,171139591,806520025,511229226,311268141,-1,25308899,437306656,31848490,724777889,143949033,257475505,-1,43840029,-1,191483056,472356183,189196466,338190380,-1,8374487,800330487,382058353,641466333,-1,376946494,952014954,-1,-1,-1,675046336,973233315,423524564,868477255,321294939,88218988,108384818,631182239,-1,54124969,214370040,980673895,726900207,-1,109830741,776847912,742257898,-1,-1,940861776,258039049,357700193,771215649,-1,343343439,-1,826293621,584489538,751047347,633157137,-1,774323207,883041366,-1,-1,250815313,-1,-1,661828016,446928331,625584498,448619265,422511505,-1,-1,-1,391946412,-1,-1,-1,916528540,406525706,738058368,774991791,517444022,778113408,969435727,-1,279369039,135385627,329779635,836783346,108584148,-1,561209442,872223168,596732735,917787523,719331555,-1,-1,599259450,538516305,907793321,217226788,659202323,660547408,626766592,421630917,-1,994077282,690331532,169156993,206895837,-1,956419324,993000263,823065140,-1,225506215,901236162,662311750,498587476,544754143,464735638,-1,371111232,-1,-1,655208703,705736063,-1,-1,977666354,839973439,593258226,945811473,-1,134504930,1383109,159727204,-1,354670815,-1,794980429,768350443,484638955,783538750,-1,-1,769759582,658389051,635796093,-1,750074797,932673741,586628088,345325218,866460458,-1,81211362,213451269,35831449,-1,429740525,154557810,-1,274290690,59138397,-1,-1,827351497,287205775,535660651,-1,567493559,-1,-1,641266054,498227049,-1,262004830,234074943,-1,-1,930485623,735627137,893372332,-1,47190514,564569872,763400635,931206205,628426054,537762023,269355885,982410842,370435527,333236625,-1,-1,562725198,380361712,-1,491372640,503156775,984358382,381972792,940252599,-1,-1,327173097,-1,921865243,308910854,-1,528926809,127289166,95561145,268783117,57306572,715228948,-1,760227568,-1,92275924,627954932,-1,487136067,-1,-1,888155958,494310010,-1,532964137,-1,927067617,316654434,-1,855575272,675062970,352526336,-1,907643991,448628850,108175162,645272878,-1,255091542,534783679,738351629,81543983,491836557,-1,-1,128024686,519662053,-1,274834264,733890545,319196450,-1,933016444,-1,987153686,-1,51454822,67401300,997303481,153392747,69275992,-1,524120250,-1,855473677,-1,274373564,-1,-1,177932790,565268417,523379060,900621039,989087196,348424508,438872469,209724640,93376561,578591839,438819876,382404385,467015391,818023863,804658816,509295953,815418469,799043009,636746934,865300500,-1,-1,-1,357805041,393392318,570629479,595252380,-1,111708235,892970875,717812009,-1,-1,615293926,237328332,653452207,515816567,388727746,432763776,-1,117330117,355943270,986528514,36298365,64712388,231755730,380367188,134472686,-1,904215097,-1,655267274,383243452,580693640,-1,-1,-1,159667917,570157842,438656169,59633328,527669405,966842097,-1,-1,675784208,588723205,45430080,-1,83405929,-1,507119150,757120667,-1,62761207,85808331,846175,-1,677534886,455080237,936016301,491803744,-1,890536808,487006305,452278344,481751197,-1,-1,49955660,965353689,579614369,165090535,608339010,-1,656498524,907994422,-1,478306037,425332610,-1,719250328,-1,-1,237580318,418711161,-1,514203335,654810741,931455562,38882477,109499481,545252804,-1,-1,768672785,782191159,2798817,-1,682282832,13557117,808707750,63905834,-1,190425146,25526145,855085215,-1,859549055,910804025,-1,-1,768593280,725537402,397077923,-1,-1,530911409,-1,-1,283921023,41332538,315002015,-1,30996679,649344290,269871508,699821627,29779739,100575035,543434030,336401350,113626397,-1,-1,307214006,179929706,742648563,583229981,368655869,-1,189663076,858178645,782792103,894047754,685439155,-1,-1,527339376,39392321,989006711,-1,-1,-1,639612072,685272461,970151797,310713911,437935166,253799844,-1,534831773,861482747,204192447,416335497,-1,288794196,-1,867126930,940703855,733746806,568241757,51985595,306231769,27833123,39092966,608641446,-1,396827030,816028663,175933082,820693627,927723743,-1,780849685,251857286,183434176,-1,273299383,15300346,152244426,426926869,-1,399753351,-1,369668379,820033217,-1,-1,750251914,300686204,-1,-1,572821668,399432313,670980207,-1,564175047,-1,776461158,-1,-1,286752595,-1,968349918,938998990,11138950,-1,336558986,858367840,231772499,965285648,105481004,181489101,514079127,313943666,-1,326925971,1976315,-1,216570773,901466534,920230622,629945937,574848056,174370718,887791385,556812240,202819244,668804467,157021155,-1,189465897,114104648,730006226,870256473,468315454,854699069,158428316,474791927,601093803,457698042,-1,580047775,-1,973429199,940805073,-1,435872074,186860521,163411010,390452241,887707303,279824276,-1,404648086,943320339,328767407,26144156,-1,793926289,360062846,880265616,47410789,270417327,840489187,443546053,75163917,969295203,-1,498624154,-1,910238906,252790674,434259725,704068919,-1,-1,402226110,8491426,-1,98712479,965741301,-1,263613313,375858536,782714213,390752914,761619817,836410903,-1,642862371,865171666,278088664,941334599,317998404,-1,2503254,584251691,-1,855126879,716484796,88435767,404740311,747077303,-1,620644039,-1,234377759,719955716,645429055,-1,-1,848549866,-1,-1,318850683,567747775,736431796,958510795,-1,582407501,262320102,399142170,179827907,922559519,876660327,105848610,308011442,436960684,667902208,-1,-1,176292780,640733372,-1,23327603,489395578,504773427,-1,-1,-1,-1,704548116,744845839,472494259,844950171,304016588,-1,702949297,897938411,229541476,854212619,593298189,-1,784088479,-1,695074586,283319789,314149107,482267314,673252587,-1,652388721,-1,174975571,334210950,853372357,912732254,506408283,-1,770375584,612182585,487330015,999147963,-1,-1,581811539,321735911,51778141,769402279,348355690,709147724,-1,305809875,702913112,-1,-1,-1,872330937,134841792,928891309,53813606,113985605,553982829,622487936,403657328,-1,157212796,382677366,121201765,-1,-1,581008983,642663164,752144196,368046672,626614174,578847712,718733615,-1,58532180,885370077,-1,-1,-1,-1,921162896,186356617,-1,966191534,218900535,456564286,295228558,330047591,540604330,521312537,-1,678712501,545018399,885875377,847957550,831927878,986037707,957387750,-1,721461328,393384152,746154979,-1,206793750,873604257,-1,327792678,-1,995636124,759705716,-1,886544584,-1,-1,941354750,209419836,277206267,269667868,-1,-1,453002639,-1,592588576,345666876,-1,-1,-1,415760347,-1,970129982,-1,686077299,-1,845269617,94770331,514039672,386394522,527256170,-1,-1,929439083,-1,481090154,810745306,-1,85459314,939789770,905027671,757900682,-1,89176505,676531008,148884534,-1,479916017,910232631,-1,473226225,298163843,96937470,-1,123438732,496612174,-1,7685763,128928430,103782495,538838661,691357211,590667098,-1,-1,184512378,-1,446417436,902615070,681122196,857809335,756135775,6788865,205347521,925269994,-1,24942009,623490454,-1,805245118,803512027,251449835,150168127,-1,783266199,464279941,223497666,-1,893763443,26713354,448214251,-1,-1,53168401,279242553,744649343,67659476,499545011,979643385,618814706,-1,845015027,-1,461168627,-1,416094756,548828641,324773551,-1,43140399,829701606,125702840,542416494,-1,191863460,884867832,128522074,-1,296166298,-1,931128921,433581372,-1,-1,503084780,125277430,736948764,-1,333940804,729334145,752749393,715942333,-1,561596694,-1,-1,95325017,588370790,646008055,411019778,59363951,-1,-1,551358772,239858240,334872800,57769379,966059859,-1,21859134,561545344,933256360,-1,403920624,-1,232794928,260549345,152583524,-1,811604394,936445503,318713740,531165030,661050426,788906375,412195573,-1,840148527,29470984,680325350,555971189,-1,688796859,186917447,121973180,409232591,336966599,362197084,721368352,-1,115715890,-1,264816599,240911272,257973985,518130833,165871320,733397641,909092653,283983117,222197396,149351046,-1,489248377,125551655,749850855,594429581,223225012,719487940,503248601,963785347,-1,-1,518902099,-1,201812994,974766857,217903643,-1,39635384,500012120,244523885,-1,777472001,160526431,146731003,828212420,-1,41891370,-1,788012622,262135203,-1,206553207,333397844,243470221,715671945,761123498,550756247,181874158,179098779,988794797,-1,581040839,213126277,467912543,252440852,327210367,-1,-1,943537708,771406987,857249150,448546316,821598026,-1,-1,100566511,657743606,-1,-1,490571865,351419460,-1,4679835,485644311,437292368,705654670,137955521,701128479,645475203,-1,62109815,-1,171787796,917051571,-1,412554167,-1,-1,574322537,271809007,556301550,184889689,-1,936555798,534890323,-1,-1,-1,852347552,426809291,988887067,16631739,-1,477205525,395532196,-1,569013247,671837974,-1,665139894,-1,529677809,827090471,165699148,747689920,267828505,182059443,412554369,-1,818490008,100635494,699665045,566954769,444198195,498421109,-1,307408060,167849027,-1,657235586,318235564,44187605,-1,407206911,839236639,-1,773209121,645591339,-1,-1,-1,965622507,693233686,-1,-1,31735325,319376908,701183182,-1,-1,416313430,520129563,234158889,-1,-1,-1,166756686,352471486,140503670,456709063,829254009,1664292,185726638,832687268,-1,-1,280664379,-1,335064542,-1,239254845,959249093,-1,764598485,232643059,301621703,772458361,-1,133481168,156340268,933046209,-1,68578274,-1,539951517,-1,151339210,-1,199078994,138478473,919615029,183827311,856414742,-1,617563518,905375371,113111782,30674589,643890176,713730183,-1,175422509,931007629,835445207,197547092,41855946,144912680,529760962,-1,-1,-1,319497388,-1,204953705,61158200,870118204,-1,248208677,-1,555999269,130553788,977266274,310289582,143312155,819819244,189629998,703305149,921608872,488471399,494054974,744997662,-1,569365364,347950199,388045690,-1,531296119,360561565,278119954,152942602,-1,159956225,978722154,312842346,898614603,180131851,-1,550311618,-1,545937425,565288720,612648091,497971046,921468447,315594674,650795364,-1,351060408,336198155,-1,668248911,96231688,-1,-1,201155912,362902866,-1,383061779,-1,477224642,399816466,-1,-1,-1,956569678,353346054,-1,-1,54826934,-1,902219293,-1,577766173,475303684,635409304,-1,407363892,-1,390394575,452380900,839240619,903364079,545819561,399220967,260918695,947076591,772347821,282143633,298381032,149817905,633550891,-1,152120508,638517941,895163746,944321562,-1,379015608,813032882,-1,344324506,681565494,495621625,27196696,982432956,-1,602161839,-1,-1,214493139,-1,350537456,322941473,-1,848038511,47690573,725279909,854960988,795082949,160708163,154678856,-1,199711973,861760536,212488261,643694496,-1,-1,708629481,-1,883731931,398969580,832149775,-1,778385129,689068913,267209038,988998524,-1,376621795,783729866,-1,783510055,757106836,626821295,434793761,190818386,879678354,-1,-1,-1,-1,460735815,880836639,157162155,-1,-1,409140366,541621299,325368134,-1,-1,-1,-1,399133311,-1,882746342,-1,-1,766302134,-1,-1,247125666,-1,638648698,282002704,205199552,292885185,161486323,-1,600843837,964728642,932053184,185890649,709899735,-1,997065115,625452383,863445779,-1,602424068,122184435,-1,877027079,563329628,-1,779400190,124735243,614562986,408353923,692057473,-1,188669614,739208416,365185891,951549201,12661408,-1,-1,685838236,-1,-1,641605422,-1,740416926,90742876,23118029,308217882,327145933,502877368,280266830,45500568,459671821,547318007,455063068,40688569,798026699,732253533,316969499,690836853,311627165,639683380,-1,-1,57149000,-1,391802191,508408986,-1,-1,12893120,994635195,646755781,-1,33031118,43986814,618765976,194215236,846211664,467868121,822217410,360147440,478729017,724395651,-1,209431499,186706242,908942523,755485748,-1,503700366,344498481,155246648,495998560,-1,477545326,694217361,706303566,734411675,751852212,-1,446559495,799593463,987439708,417652523,201617302,-1,824889565,622566726,-1,658735314,830329640,924090245,69930892,-1,290490340,-1,-1,581435115,823769293,200731047,386963943,151469819,126784707,391603295,574715024,90829866,561127733,846895127,-1,928382861,457111862,-1,268973282,864820246,959300750,415744693,247096743,320154528,911994671,545820610,804302729,378604153,814646604,728304524,-1,281267597,-1,-1,963154615,439628061,-1,-1,65478529,430437751,856721872,101415591,529493103,871929150,-1,886851222,-1,417001327,129470237,-1,-1,-1,317198017,494719945,721223509,303382612,285333048,27624928,955726942,286312630,-1,736552679,243492534,768696606,149962560,91005120,839682280,725576500,-1,485565342,160988848,-1,253576909,691906613,917120437,613506545,699058024,433477564,394136122,-1,-1,-1,763140545,215426533,862530777,-1,-1,619078911,885194712,-1,956051004,175582621,808531839,-1,879559570,73090137,724561782,-1,428025104,-1,-1,845150899,-1,-1,-1,813575182,-1,968163533,-1,713499236,706119822,-1,582760582,876067227,402540468,767443105,550771486,319222358,259626614,236974914,820480369,610188315,201856373,-1,-1,187166142,467771349,-1,788407036,874077011,-1,216070842,567729502,913979252,944471921,-1,963607909,753361737,801379336,-1,93709898,987328282,124065232,987213982,894799100,630877166,-1,357362558,742654778,54368796,-1,-1,818170521,143319055,69872738,399244618,608963287,-1,479029440,619948468,780709848,704788284,-1,413144516,7090505,982355177,230735439,826106008,895327030,-1,-1,32981934,812102108,-1,426922544,336136553,839268317,669263130,444089649,-1,-1,845816714,419426503,78791919,205507278,339225095,898364573,805637220,647802300,300366559,768057026,51301059,-1,664212566,-1,-1,456994285,708059884,463721278,-1,-1,-1,-1,653258896,353173457,-1,-1,-1,-1,590799636,305188620,-1,172027401,-1,683734994,543359392,-1,-1,349076740,148269007,877954625,-1,53659363,762748424,60724954,968937476,-1,241372806,-1,596816057,826277418,503172358,209237501,782008488,803958155,499122747,801331887,865867972,-1,56603532,271691928,-1,240837873,-1,-1,63524185,-1,370789721,181902309,557152143,984557280,-1,279947589,-1,-1,966711171,359063592,146397981,-1,-1,455423562,12130194,714411532,623007342,404534758,313078580,529141264,463184632,-1,587687039,565693099,-1,393016401,604772568,580875775,341694895,364895886,725944493,943054409,360954637,-1,507667885,381227609,-1,-1,14800395,291911412,487963197,477683993,772601836,543998876,799668826,535360018,303671465,96079665,471460497,820270808,-1,-1,-1,839750001,-1,320192426,499042892,861693267,853183486,-1,895185671,470972268,392129012,167370602,774580986,809997152,889425847,-1,-1,606907551,149111328,324049426,-1,323864967,691123973,188684005,934966079,-1,954267073,-1,52767537,-1,616486365,172856928,224899029,566650395,-1,851401659,-1,-1,507690926,909814681,928815211,176175105,926738741,553352069,822327758,937787843,962065837,652815911,-1,-1,975532912,492252106,138868126,479369049,41971240,-1,426105357,246386059,-1,-1,287824906,724305330,499214011,83624028,623351873,290791492,-1,806460921,872866358,200356784,911943395,956245248,560593284,891024613,236301638,417861892,508347879,-1,321692404,904495382,-1,-1,-1,114998800,488043385,209018162,101733723,403542542,-1,799294329,195219455,-1,706786990,284848147,451259260,-1,-1,-1,186862769,77197401,409721248,988393850,795383813,-1,-1,670507894,561257519,568424499,-1,190869522,502630920,314050855,509486224,904450428,642715374,450605032,379246897,147538416,495209397,633249264,715604625,519690821,893720759,-1,-1,628426624,118875693,114198275,325235020,-1,428401019,-1,593750152,336638578,679936305,-1,292187265,829066168,56953415,-1,981232244,283516962,671739530,189539620,902492255,685843826,819696520,-1,-1,-1,-1,638505712,-1,289972478,893569675,-1,-1,265511587,964011943,184204161,312116791,845974367,707283317,593528314,576714007,241154524,108531767,-1,420837053,251046314,-1,433752792,-1,927266009,250524765,393445630,261812836,664806183,786621376,789083335,530371634,839321540,832032011,631179811,680133418,99982545,390433042,970916097,632230004,516130242,-1,501577197,-1,964828850,136739418,-1,-1,774475726,81586267,348624911,-1,742580808,-1,946088577,860932380,971646666,642577136,269113030,-1,694690483,792892864,589859365,755797198,103766787,276934974,-1,701575363,880443044,-1,554611852,3270254,895799227,-1,672151482,216230511,654927391,158576102,195555808,273318474,820668198,119294822,-1,692079799,956684469,18917875,581922981,-1,540383523,629368220,420424093,-1,813830449,-1,321350315,46113213,-1,205976182,980566697,73783584,-1,163228588,-1,763691535,132007765,801696577,454563747,893555232,761299483,413306112,895693795,-1,763956824,784160481,-1,-1,-1,330608300,-1,-1,537458962,-1,777412650,662222687,-1,838878898,754175377,568202528,978507336,330262448,416796850,-1,759984802,342653209,-1,449760716,-1,531634188,847287107), 994699448) + } + + test("test8") { + assertEquals(Main.minDifference(-1,639161915,-1,-1,743579521,717617076,-1,-1,-1,924276297,157194645,20083099,618694006,413718951,290186181,-1,651629291,-1,-1,476902543,451983954,699899459,982685397,479465884,548286569,464914514,905312203,88581276,232522362,-1,-1,201227575,118755561,318427412,334333186,324413920,-1,289238250,650205688,936943148,523347510,439406940,-1,564910764,-1,-1,9977678,296852333,808793299,603582094,-1,62600631,489717645,807374757,772835555,809902639,-1,94779959,507590077,37441761,-1,745888569,342306484,-1,323670969,20872586,43755315,908995939,940106621,429674018,-1,-1,870931530,-1,669823615,44462343,174997666,-1,519233349,222211360,368168492,-1,437460181,328140677,-1,470296878,794384734,-1,428510371,-1,-1,-1,994765100,-1,657465590,167891981,-1,809882510,514782318,916305713,594246725,173959418,-1,-1,829636941,-1,907128950,-1,824662529,388653927,22866582,515313024,-1,763160725,-1,779936153,819347649,259324544,89384546,-1,661520434,-1,299343859,949022937,34042132,-1,688172096,640184853,987415905,376043972,382469432,364430370,191553994,751883961,172829321,830616766,281394971,719986460,974648005,987763037,543780379,447545255,577019720,411257306,265430288,-1,937238972,60669829,135302727,832033357,225274119,-1,533819004,152132901,-1,265233922,639602895,638250145,490749771,106810562,551215032,-1,-1,-1,242781672,605404830,-1,-1,365757696,263107833,1283452,-1,-1,797233607,51680198,421805432,798858318,748969158,195637488,-1,938692345,803780604,36696519,738826618,619633840,-1,-1,643631686,797081581,685031134,244970331,961677682,-1,-1,-1,531472049,-1,635160870,-1,600781744,910534005,310093300,812439941,-1,570258874,-1,-1,878176918,890242693,241609188,670731568,576724959,-1,72958399,329301577,972013099,-1,457262019,364074839,920045532,984771976,674521312,-1,821357967,716324011,-1,-1,849955391,-1,994039222,366454232,315139844,132791719,109876260,253636153,230757703,712204508,912472617,617701659,-1,390712320,-1,-1,-1,-1,928219010,555650764,210920097,120105627,830614976,790849391,36512601,554981262,187626142,374468721,176362305,-1,-1,181357367,-1,-1,478118594,214531411,-1,764136939,-1,-1,-1,932146905,660642454,855536411,402952298,435841554,403793482,-1,-1,199182353,459687909,30631366,-1,875406047,516611026,391254799,986268324,989577132,219597464,461611321,-1,920446891,742022578,895572088,290174586,759481233,-1,-1,-1,361579651,625192595,-1,606734207,-1,994290145,-1,626348726,340351052,124160769,323468751,614651634,50920302,2535885,488397620,814838774,936526498,-1,307055822,608882869,322429150,645803512,-1,956084084,362147528,574557441,694342191,57366060,-1,810892257,-1,928681891,70179313,238314744,59629056,595942277,748668466,-1,933389310,883732620,-1,484593227,503665657,167892632,84924074,493726146,212766968,488168861,99176582,417568977,457633673,783493437,307990515,-1,-1,986212309,603501564,251109683,984224463,534904101,-1,367796553,-1,811208657,-1,360824701,-1,-1,436229083,661898616,461216521,-1,-1,510492474,388120082,464372075,-1,215955830,280867311,464039154,93706169,-1,958304827,524170812,821655606,956164888,-1,781465008,-1,370184529,355238214,866880918,605338968,485202663,472175209,-1,273542116,275715829,-1,690925895,-1,-1,930021051,-1,491594834,143019642,959548973,849149116,91301795,-1,144859505,530330121,358477583,260976533,-1,732311248,183941193,-1,740675098,773132665,289173575,107971516,250423718,24277973,302058072,150339706,276703862,755761735,-1,390490234,885382020,130590958,753481727,97660877,568028246,122326546,607107333,153738327,-1,-1,126149066,197515776,140682649,-1,-1,472019330,678644069,805186047,321550651,265471103,605579855,316881427,824382449,869045506,555459534,246675322,451252215,902299556,61696273,-1,920455020,508415432,587437177,126316056,612796807,-1,741474426,494843283,769030572,209257151,884257498,-1,779891399,-1,103588790,61531224,691303713,31155387,915136943,392438914,-1,224749780,121854705,569512271,-1,-1,88706635,678782315,-1,913796256,766787371,-1,675167979,829896359,-1,743427243,906997449,-1,-1,776570919,767733152,-1,608928260,887774817,517580875,145409095,-1,879172915,-1,79774477,-1,-1,533480441,335750717,388593426,-1,-1,150757642,53920826,85934378,353306404,188652434,947395776,12073929,517383803,317561777,350851096,-1,-1,773903344,673828886,421448277,47943354,-1,-1,834180149,-1,560620158,943178914,896558988,-1,-1,-1,-1,378561013,259057470,-1,795720018,225887075,806381176,438466828,195984506,32413156,859865930,315191399,851803005,913226849,206441255,502937875,-1,5876241,260876939,137915862,678759765,534473704,-1,474241796,391394975,550517738,236929882,712067494,478476808,255145759,26690838,-1,530228061,-1,987916905,217742527,668752451,466841592,-1,710590983,153163334,491538705,34214341,-1,588298197,194122934,832774158,-1,563033494,-1,-1,581735915,405950880,-1,-1,-1,210113772,695451258,347833855,417724793,268774063,561470803,-1,-1,45454703,822062008,-1,-1,1985072,524285992,-1,872285462,989370111,571396403,-1,-1,427042072,-1,-1,224950735,845033409,569064903,-1,320334234,648898254,-1,-1,250860504,-1,560198607,248875643,498987026,-1,385718341,573047741,304885588,606295223,488326248,918774896,-1,335861025,664728516,368717406,59376158,-1,224563418,275312353,376067618,570070963,321070093,420345622,548526023,628105551,420377572,417787432,41155550,904074494,692765884,973809180,-1,-1,-1,384523868,385207094,564615943,-1,698149706,525407681,315064352,203773956,64548019,-1,464342752,689005337,410986388,141499088,428979689,-1,2980051,470530451,280810939,-1,731883601,-1,37275507,394852366,-1,984656097,-1,155015738,324831180,358512190,-1,821266155,980297854,285692041,793724364,81795919,971770215,14687630,-1,394385682,-1,573358184,-1,-1,220271458,476290768,547661005,-1,-1,982844824,977112300,-1,172569521,-1,-1,-1,242682453,778150863,71308449,823855475,274833741,-1,148013663,158874587,-1,501796637,-1,652314728,563265528,848215218,103408452,322627536,661452417,-1,752197634,-1,861657732,447821119,860301041,-1,-1,-1,-1,-1,288591689,307047078,-1,591639268,369371333,511234554,-1,-1,809516582,-1,970953680,235437495,762400205,951034617,-1,898774951,-1,532669749,-1,933548202,518079991,868296120,393979152,566249959,944664464,874428899,411544634,800490913,-1,-1,128566742,469131831,518185854,681316427,201407869,80968452,89914017,-1,-1,677849114,934661684,-1,603929176,342018715,-1,-1,694632668,-1,-1,355306398,834026950,-1,206585406,588804424,204977788,428816945,328952895,397639569,356247984,-1,-1,654331543,104248772,759745928,444837117,-1,647498890,678319277,405900192,656940664,849580217,-1,106115799,722865406,242757618,-1,-1,-1,649876869,66053631,901740055,906687159,125758745,276283427,-1,729525385,399526261,984445449,325948703,-1,-1,-1,906658211,17161138,-1,680621193,647838672,848565350,965116489,502768623,516497928,-1,74390940,-1,140873721,686972184,432204419,-1,-1,-1,-1,687862160,564587294,295672343,72487749,-1,134052905,966787328,789552209,-1,223847112,232213871,49426089,-1,-1,522173470,520914661,252142471,-1,-1,826974574,335524026,651399790,652973636,348901897,604361076,529220740,-1,644008443,96097532,206688812,-1,143709328,179510187,44649207,492679138,-1,-1,672303681,634344701,-1,765580795,843657913,49855828,479812234,628335666,971762939,-1,-1,292166738,903949434,780586365,799421156,174047412,-1,760005041,647791892,352402656,827619444,-1,847921234,-1,235262084,245036882,-1,207353238,748428620,-1,301430990,488995319,-1,360866731,165180120,-1,-1,629255709,975268135,-1,952245992,800297830,891630105,868598328,540305137,172036191,365653443,2992891,35533825,292393950,-1,263331371,634998561,804180703,-1,-1,11266453,197686651,493108570,402156697,564912237,909512405,842300502,386572189,526869956,904361033,299624697,-1,541889677,167966802,991216975,576167331,817967454,585887534,87221196,832873417,-1,980821219,934409937,-1,945004298,-1,676533313,122881048,-1,468162890,201790960,276831209,665573039,769049070,583391115,-1,711959671,-1,555867407,952966804,-1,577566649,742268499,-1,380402918,974486528,194740740,-1,-1,145750057,898429154,262792323,372873765,-1,566941439,-1,398252915,-1,757344277,-1,-1,215141809,573912637,141990484,668504929,642502730,-1,561035203,-1,-1,-1,695910904,708966450,665632704,218117254,-1,-1,-1,236557368,678219718,-1,594982299,729092595,-1,980544492,651079329,-1,974006861,-1,-1,918271606,-1,320087991,-1,583750497,-1,262133731,-1,636351335,-1,793776818,-1,971831200,940083631,308666363,-1,909526578,727230255,524021211,317015187,400039011,-1,867239164,109123824,-1,356146402,-1,-1,-1,876776615,685394148,94836010,-1,55589276,868386839,521757753,91397621,35208032,-1,925542598,316630842,492643545,538299901,-1,541348927,-1,727250679,903396312,870894718,864864545,640381689,-1,-1,647012414,702187791,896739617,683201364,305592010,390424400,-1,568190260,-1,837621394,994978495,905528479,-1,847328795,368891959,640812454,570551514,658990395,198268612,908221033,213787013,319334876,732739170,482338024,899514437,88757072,838200785,348435045,80482096,711027461,897774908,186432675,462977398,540223742,262653795,-1,571164338,-1,996783683,965187433,146949140,821193882,307386161,605010970,-1,-1,963995774,-1,-1,-1,-1,18433192,106577430,-1,307306456,781404323,156698393,705086165,186595279,74799319,392631914,596917042,758748242,419475347,-1,667688563,597816511,267786274,849964877,-1,-1,352416556,703663355,535615958,-1,996180261,655258268,361927848,-1,-1,441447797,-1,536845836,-1,273707011,840700784,-1,-1,320569738,-1,10534658,525991977,-1,173450453,727327573,91246021,946884525,-1,877421586,41127185,223010998,67057043,519332667,351161143,859993804,957689795,616760288,518083536,814597761,519812547,826389211,877767177,-1,-1,863300643,-1,170553140,61317309,739135503,-1,-1,152234756,180895402,276136172,-1,325505966,-1,435420605,722266558,739564705,682830552,892348127,605136853,-1,843857445,-1,778066887,571473283,987196657,973439180,-1,-1,359135765,-1,151435826,-1,898160854,610390224,156159529,252347750,-1,995933805,-1,838781413,978810797,325518780,787766868,-1,803450803,592201847,488814285,153449638,-1,258607015,502901263,-1,658131214,858894225,-1,18011714,-1,-1,-1,668445996,523707740,-1,-1,860491174,-1,-1,-1,-1,63705401,182134890,-1,507425599,695332820,-1,216564473,789433175,168303244,-1,373157598,496493884,721816485,-1,-1,673472090,682677810,-1,70794389,34690917,350272249,956817982,-1,-1,292136526,404230236,323244678,-1,829137057,-1,-1,-1,521347045,216370216,-1,-1,699512143,536920559,-1,82801492,-1,897406411,770035534,270059951,-1,851452774,319129142,165321181,671313999,67449045,-1,-1,332307213,-1,311884461,187608429,-1,-1,63973049,770743347,-1,260094408,529707708,746263637,350747590,790867001,-1,912246102,470099680,882988247,245205633,-1,-1,47026491,969401377,537533543,735566712,945593200,717968071,277763970,236178109,970635105,-1,-1,-1,-1,166014065,628325606,-1,375322760,589755999,582975288,357170219,937911272,289435201,202843325,459899738,292397034,-1,72379365,145382989,-1,-1,198343759,782450339,53156478,-1,-1,-1,125008289,-1,538415838,714982165,742359479,387733991,808891251,863120724,-1,-1,530203049,239049437,735455508,-1,904330440,-1,535005176,40125501,279415550,991581643,139108137,907029658,-1,518276544,-1,634904440,432405820,362803913,220868654,441314276,-1,487251003,-1,641440268,601404788,782411942,-1,-1,824969628,-1,194955424,413598658,-1,933976588,-1,463505228,48718501,585530873,261557694,115644349,-1,578383812,-1,260276192,596675022,904177429,636526335,879417804,-1,888809305,-1,9092815,519924741,497351798,37708044,502631485,292181855,-1,190577219,294269045,415082843,541049975,570329663,-1,-1,-1,-1,811104691,-1,72759866,-1,-1,724806855,680443740,398640697,143607811,-1,928846145,106244848,687682201,-1,897000749,409468621,104591561,585349718,640085378,277767045,784691,642071118,73906527,352430820,-1,301051581,-1,145710396,-1,699612669,631993611,790953878,750043422,-1,832648421,478051695,652611892,875240392,-1,275165070,884997090,352587527,52878791,108380183,662115281,-1,-1,656208774,743179216,259722291,385958738,614773330,-1,907728884,-1,-1,374120869,-1,582141271,947613131,678130305,-1,75555127,-1,40875271,543451092,570677957,150848671,-1,480978769,493863302,496535407,94121354,119529369,-1,903620845,454020445,680786561,85768472,-1,19551530,557801352,936720377,203625384,398224922,227054167,801702650,-1,-1,458506127,852269424,-1,750398679,312689076,186720505,-1,-1,456641276,95229780,423272306,-1,152626733,905957556,680824317,179676859,-1,-1,673811812,388862301,-1,824714420,311517376,-1,-1,-1,664736066,151908465,-1,536295909,26756192,575468739,438407827,-1,451069456,895205559,30358401,893802976,-1,-1,35156162,310414933,11917787,898091270,317324185,630450106,583362731,752072293,346117056,-1,884318881,133432953,-1,943977846,18965592,-1,226069295,-1,105020138,873619912,142720083,-1,-1,887698827,547155584,-1,696740860,413284278,341504746,715134865,-1,619238710,796144816,-1,313071211,487664560,516492242,160986545,560724671,433914921,-1,124398661,851139315,-1,-1,-1,617143408,206054749,332629187,-1,214449305,261140694,234529421,903229658,455332610,415386527,448061159,-1,260383948,-1,-1,999998803,-1,208334448,939448341,958247236,-1,715005727,324102572,-1,522706452,171452063,611222224,-1,103716290,21224875,583620343,596061140,747447035,-1,-1,-1,375411149,-1,739836295,-1,486601551,981109894,667330658,582789188,518779642,256047311,-1,804657904,364066682,-1,984385495,942995845,-1,453833247,639837141,468788884,-1,433314855,700770946,249616249,746553045,-1,153680282,591747305,510060721,31546395,325169158,533740957,315457136,-1,939166531,876322829,144508828,52100451,-1,460710722,-1,888299583,198161958,940694020,-1,81538297,289374747,635088786,-1,931109078,434026521,894441028,735504631,555498723,500155367,491411807,889566120,658479531,-1,374360554,996808462,234338265,321732421,914135097,-1,782809738,232316293,438085391,-1,88550439,961567043,408154489,181158268,68660953,645326621,-1,158909954,-1,516395067,750189005,471174420,989759762,843158502,446316910,870229334,889644852,-1,640513737,566755630,745124736,179493940,216332315,-1,561315263,-1,812316817,427565857,27938312,392792764,-1,-1,695106512,49272685,-1,573137005,65267938,34588792,200532573,589377094,1954861,856831192,-1,-1,421989220,-1,701989982,295879077,-1,942961107,22340827,-1,809047838,596591271,156803039,302843754,-1,-1,-1,-1,465306588,112930955,453825745,-1,618474134,-1,-1,71556814,-1,-1,-1,-1,989554691,-1,-1,885423436,412317013,656332585,132450420,610042421,67531329,949990726,413772033,227251958,32509038,-1,389717746,-1,808132557,884958903,149641240,488834336,-1,598319605,-1,8305423,-1,535858009,204261330,363173928,619297517,351240362,67827968,256623694,633523466,900933369,-1,340493508,418039490,-1,788108161,145433669,991843340,-1,-1,-1,552026434,688469722,-1,579606640,343599327,175596420,565405335,-1,694828079,806179060,917562670,143562125,894086398,795861182,-1,168880424,-1,594142267,-1,-1,969198853,363208063,897025527,825106605,741900551,442962179,363320178,623508924,-1,-1,-1,674029970,138359167,25315808,102613049,-1,778689217,570506297,886370084,724952861,-1,-1,689850015,489215982,463108632,196971422,902923745,814897417,365882139,715427120,7984225,389049921,908110720,104408225,628097975,877336655,383658763,-1,547018439,-1,824408564,233017490,233380069,139210710,-1,-1,-1,580775651,808697013,-1,44329015,465777390,147472272,434068444,-1,-1,954977793,576142503,715868714,-1,306362646,891327383,297165190,-1,175734806,-1,-1,-1,641012319,193983961,-1,780124917,-1,-1,340302603,-1,-1,434004465,867869300,-1,824819376,-1,944484194,473548519,78166953,645025573,640045795,313269393,924687846,592814534,696509485,281722336,499082283,500200773,769738869,948815995,204619817,130352448,447262690,992233862,544130395,516513182,-1,667361241,193149230,180828912,151703401,994308918,-1,-1,834600916,566467645,650953436,-1,-1,509809998,736122772,572215220,735175647,600062397,883998517,364556071,108745764,-1,-1,-1,595186103,819286520,385024819,310426356,890576297,783794878,-1,521055363,-1,329016729,-1,998144132,692653451,-1,422332824,575854606,-1,-1,762407707,646814131,482367865,977489119,-1,862803527,345819781,227988240,-1,35179133,-1,573778050,110176792,24318434,-1,-1,-1,-1,166692130,279359480,77579582,987539891,973539580,903408893,611329577,340990857,174132728,958691965,266920365,524231040,377186773,989565803,845817683,-1,-1,57458517,134252428,832080923,162911062,279781276,-1,371332982,-1,308809357,605472028,98405973,697132784,368259720,-1,315231296,646631584,947723052,58766000,-1,83411926,657695376,929131572,336020281,66646512,582350281,81966774,442967916,899573990,434071345,146661932,578102058,789494882,4185580,-1,608855273,96483940,613898502,344552721,6250318,448149890,42277625,685889897,240376818,-1,962988232,748689959,355617098,623236173,722166352,-1,-1,-1,-1,648867430,467052834,-1,951608300,-1,-1,960254999,192522358,269709179,999260401,-1,-1,661889128,442698521,612247143,196508702,760351659,966370739,900497794,-1,-1,85004281,967888903,-1,679589831,881934108,5121963,-1,370886946,800983918,-1,959831384,-1,161139547,-1,618306607,-1,472004994,-1,699500001,100159409,70852044,649569252,646294162,497443966,-1,-1,634363548,-1,-1,-1,-1,720390523,80115924,-1,362162272,-1,29518630,846452150,531042837,12292683,901149480,-1,-1,592633041,-1,584147763,355926561,-1,-1,682273965,-1,-1,-1,-1,-1,324255059,122597197,523369880,589873897,-1,645358866,584231428,102010449,279619184,-1,-1,-1,-1,447166661,629544634,857304644,159586594,-1,-1,945858526,901039368,645815511,589728599,203812786,-1,443112499,763715980,371022548,736763827,261917482,824244078,86587671,874329560,903801773,1149524,119975076,68082059,827833960,-1,153198424,734282068,-1,-1,203421927,241275459,609720278,284387128,558429532,420642065,-1,-1,984330559,-1,-1,-1,352401742,-1,964048837,539412002,983262546,-1,-1,-1,-1,-1,236867835,-1,861599730,154753648,891030996,269912092,-1,71451469,456730193,-1,-1,292951990,-1,661736330,-1,801930441,777527887,934754591,-1,-1,183816545,814008680,502083184,552984323,425997958,249946709,123688557,861545111,27009067,-1,107257866,379251561,-1,-1,753740922,-1,869216473,825583035,570813607,-1,310678254,498756414,384628225,648999394,464466512,230124444,-1,-1,-1,985523587,751855339,963770639,396343848,484484137,-1,-1,13217380,184790714,990010393,301508878,463156800,637734932,492971685,568590368,940793163,142559222,929411232,427761480,132124505,-1,719759827,948943737,220291608,786378949,747254095,582252927,608784707,440431987,512748848,-1,267254100,478159549,95720392,80951253,952620201,726856173,-1,707743612,767310481,95055675,371886605,999082499,-1,571412617,956575901,376247272,661834192,683703082,85693506,-1,-1,78244540,525885729,-1,725894994,115004808,161043160,29553102,782422286,882380519,50743953,-1,-1,51506841,376371291,806372210,967849464,757095068,920670981,-1,546480781,411061318,645877984,476654021,182634396,-1,879456774,-1,-1,459003851,-1,96624422,165161357,-1,-1,-1,-1,329080994,289398069,885709459,843514393,295428745,-1,401739884,340520403,-1,202210787,802284923,120775469,902943416,192047964,195980486,387632151,-1,8710149,-1,-1,134449356,724706364,-1,905810526,937388274,-1,-1,112906225,368818427,-1,955653438,229704174,-1,-1,482058833,-1,-1,534722548,818596010,-1,-1,301415178,-1,-1,966493728,729102751,-1,527073816,984347242,10531151,-1,-1,-1,531221376,797178181,352501070,517516160,-1,659809929,96859214,136401122,706526964,-1,444478622,549732328,108504401,295236647,915961837,-1,871466802,134668587,15283928,813387321,197311214,153117242,-1,739295014,-1,1682920,657445288,815240935,-1,535703960,-1,-1,-1,781177387,790339983,908134008,952675393,-1,327089298,928269387,915173572,63385042,-1,4198330,115211276,38948165,-1,618403449,815731173,843363344,214585313,272520526,823955487,-1,19639546,339668375,321157028,487738516,219043809,720498697,424632648,485457648,719612884,336094167,792894553,-1,40335412,968725723,-1,471240920,372933330,35451779,-1,964783346,-1,382994922,-1,594946020,-1,-1,183269899,410196367,-1,-1,-1,456321185,-1,-1,602972735,157546548,316062650,178436548,281368789,386557710,848273115,-1,246000665,677151037,863727443,-1,340812474,715484999,458643737,871745377,83358331,183812108,716106832,196582228,218769184,221136262,186139644,-1,-1,325399462,56648845,239539370,543765328,839870819,-1,326803559,-1,-1,-1,129027818,296914357,838245131,-1,494608557,973384257,268940705,358222822,977368978,840454860,864257745,78755372,-1,-1,480339174,639604762,-1,719552926,774096523,-1,184094831,988452987,682604699,371980774,452213653,-1,824107900,-1,-1,106139316,901121953,91246772,365696829,-1,-1,443003645,257313948,995259088,891772137,180829238,602132946,825332574,951825571,-1,-1,917620123,-1,-1,821036443,566694056,907124727,99625889,-1,304683998,385875352,905697420,662324851,-1,-1,-1,132118579,-1,639978474,581438625,-1,995349532,45520925,-1,303526164,711646834,-1,795610721,-1,737000906,58366643,-1,622376085,314383189,-1,880645786,966310246,287241282,-1,-1,996673417,-1,639708350,654009663,202761377,213557978,132623362,621871473,667063822,666995255,538973910,45208225,-1,303756713,93621837,90455783,-1,863074468,256393253,998695412,-1,-1,473374845,984812715,943653436,-1,505718099,340632520,868982462,-1,-1,179223391,-1,-1,-1,-1,801355579,-1,924543171,-1,664139777,826955410,662895312,585203627,-1,114633968,-1,195558759,613350063,602880027,275128672,678272038,475185880,974384030,383669020,491558307,-1,417628948,340846114,636337433,180750840,138711956,178810211,494794918,545949926,26135757,-1,102834953,157488995,580330008,63314872,-1,627963448,-1,-1,-1,758281830,-1,704662793,936744947,-1,493093994,581569127,-1,207676423,389489751,483828963,-1,-1,-1,600046402,632135363,-1,378778017,-1,897253734,32918750,578526858,355863858,29702248,-1,101462831,678208921,279093669,-1,234429388,-1,-1,724808999,-1,318655679,823227635,621876609,463914194,963578090,-1,-1,620444582,-1,-1,938792540,-1,982239208,-1,574359018,766222170,-1,709686589,-1,-1,-1,808229573,641054796,569218252,850795215,895776707,373773550,-1,-1,-1,600296794,605590736,936398773,270470622,868230251,665951782,786167159,408570225,636264697,-1,-1,636236474,-1,-1,105392771,826514749,-1,-1,334385086,-1,3767964,-1,680513354,725271372,192029844,854710166,-1,129337794,780446939,836165747,409379125,884085228,314742431,-1,956020467,-1,122682894,465406172,809683168,300218966,962154719,594809692,-1,685035293,668775701,178710255,737889826,18628481,229874387,394239488,815610951,-1,-1,652914987,844369931,785823515,-1,30503576,906526865,831068847,771980021,984445717,843620313,958997403,458782593,63262321,88984114,892446548,-1,565136508,510496957,855739007,-1,601792885,533893397,798133907,424850054,396694546,-1,452193969,89301486,835544387,462721543,-1,275191002,749344296,-1,-1,-1,346259433,-1,739654501,-1,641222953,375559887,-1,-1,213643810,593287448,74292877,913358302,-1,778511071,346479162,935267955,644974682,455084260,568967747,-1,433908308,991420337,435645360,189697656,672245871,-1,918738011,756251193,156857135,778548223,465756978,238726821,-1,590001602,426460182,902329588,-1,-1,103175975,-1,341640005,170106674,145977845,-1,728197544,584259929,927934621,613204210,547139237,300653040,901703802,748617958,972504431,900662366,576889778,-1,501318287,721696182,966353824,152870812,478712081,238519728,-1,233726387,675602080,-1,814607989,-1,929634935,766530778,987693513,986372883,687186412,362130704,-1,399320056,103414302,341087617,32797666,883003178,779514184,311964832,418141133,722124096,407302031,369548828,568508022,499204362,-1,15706772,653092853,792621923,767130170,443422434,704569709,648158944,124685279,709175399,181764235,-1,258916566,774204037,-1,225638295,-1,759477377,242945913,612792631,331168803,371738859,309412650,195034152,-1,374083722,421019150,790461451,333520004,230721030,322265481,-1,450936776,-1,-1,291572340,-1,-1,21413569,534468644,-1,555035231,572009805,262413326,-1,-1,289872605,205391504,147941239,-1,375802325,-1,256719938,-1,420956152,754341934,214889473,264611014,-1,-1,490701724,-1,184918111,318531509,218167641,416622246,227533216,70979957,13376307,149935689,203229887,381187934,-1,-1,537411771,142705354,904603488,-1,410760516,228449160,273898888,726506629,316137775,-1,700930709,-1,501000090,-1,-1,203393378,87044165,685167759,809574838,-1,384830593,997824125,-1,27278414,649745486,971281717,292588812,594006757,-1,145342237,644801736,676550790,920952846,890730383,663574700,-1,362540191,-1,-1,198701994,438672926,-1,-1,903270316,19865542,226443266,-1,447223373,279932493,125742830,57798309,179700784,816546986,68899157,-1,-1,799967108,597603056,119132723,-1,-1,376913041,105813427,467242718,107811548,46859049,913167986,924903276,962301307,-1,-1,-1,227494062,-1,805542317,-1,188358265,-1,132184090,788027219,-1,45967711,714422136,538609826,780827262,850802454,23362508,-1,736581422,985361894,-1,-1,-1,871412559,742591049,162911938,143679465,855198062,693162741,-1,815525018,-1,-1,692534142,-1,305247643,384065648,-1,614159816,773910802,834024679,501681733,78329783,172789877,551440200,930218212,-1,-1,-1,1160957,115573055,132552945,653129353,-1,427360199,-1,-1,798848720,483271607,792240040,463268584,-1,985814909,197626009,532353590,-1,772441147,932432089,-1,-1,520613896,718991801,-1,879145848,930824882,381605566,239513404,618346990,-1,328105606,464907945,397603313,-1,-1,778856008,519519744,-1,222186565,312991069,772817748,854935240,-1,403831575,889956116,652663320,-1,561276948,395150632,923906667,745609020,693696066,-1,-1,958736213,756300205,549990493,-1,895991642,430952781,691205784,-1,-1,434129693,940802717,198191607,627639815,-1,-1,140027654,-1,561560118,41408107,800100843,-1,98905532,224042982,-1,722412273,416352337,59974097,146366889,84787373,193389456,232645866,171755444,509614028,-1,-1,-1,35323881,387326045,-1,14479892,862696305,384336964,548642357,843122625,904262826,489028423,-1,56835097,862480353,46564321,760005370,798444208,809283345,604021931,892005474,90538246,905718677,713795051,-1,-1,734269721,402057103,402772972,216510346,960196661,831582614,870279138,-1,775830848,939801028,845632283,910055153,703282755,337706067,771557607,-1,885321182,-1,180536627,348154758,236995563,-1,-1,396712990,-1,-1,304327768,171801192,607010138,458274056,-1,263841694,970483972,-1,837696258,284978,-1,-1,-1,400807257,52627558,5935296,-1,355472595,887607262,63352391,284862477,726458499,41259504,358847518,209740265,-1,285161641,426410458,666156570,126772513,275532065,-1,434666572,58167072,-1,-1,-1,-1,800925859,393354010,-1,717173433,-1,114304089,780279645,-1,632511456,-1,-1,471375543,350765523,598873382,-1,470105319,-1,-1,195495912,782979020,-1,-1,913871259,-1,449239578,-1,911937076,-1,-1,554422963,591049426,350423771,631473586,913225190,-1,723828227,316304950,172898551,651531115,167864576,211465332,579083922,468878194,-1,-1,487360664,369058798,110934556,131669553,276134744,-1,130201804,980715726,-1,514575156,-1,-1,611351997,35110852,-1,-1,452136198,536663983,617700173,221573428,50179303,161950423,474336240,96428395,934473402,-1,-1,160072865,216145497,269794287,-1,-1,-1,561018838,669091760,521566326,-1,-1,427314016,834090393,-1,995393591,626567006,3549016,-1,47934395,597311334,920906026,941866242,643447733,-1,588082040,801212410,-1,532087009,449379390,-1,835164864,614608727,-1,624645018,223923483,913113376,-1,833918111,603938122,482085410,649195828,850054210,-1,-1,671940893,462270144,563269270,734862154,348475718,910461830,248529164,999965867,118888478,-1,105150978,877848214,-1,686676093,881210985,108588003,596376206,686543878,-1,-1,405982452,616963380,249045905,934703487,160995334,844472326,-1,524428114,-1,986392428,-1,9082363,-1,654440893,-1,486940303,427003767,-1,196125940,694111286,331268406,452133758,26678569,846647976,-1,825625963,568256443,958522913,-1,39598607,466793458,-1,799032573,426741690,818329954,592027526,-1,381146736,31237743,70995925,392306104,-1,-1,-1,415672997,11313029,123530087,131017573,264435899,557320917,548358931,-1,9664882,587330678,975509764,-1,-1,825811268,-1,973364046,528915121,-1,-1,-1,-1,-1,25319584,152905556,217083252,384936064,429574508,538992317,238711875,-1,680020220,398013302,924672283,632906802,363137925,48569381,606668449,906819735,781169442,331114357,752690988,963454250,-1,-1,65852667,425835203,409480216,568034425,308462199,818349175,389827248,-1,177500395,135380234,-1,633318815,631857073,-1,907178128,949258333,271719695,306898373,-1,-1,618879642,35995188,507671692,73296377,-1,990167761,923495303,-1,930836588,777003754,846157883,946741288,411988072,570840998,-1,-1,-1,398552387,267497181,546113296,371045113,-1,119468828,-1,627434090,271186969,817931032,185679157,-1,-1,-1,681671886,-1,-1,-1,431657326,-1,609489623,644787435,-1,187667636,-1,525251202,849587180,760532784,285551547,879020555,158826354,-1,132899676,-1,99874392,-1,-1,114417892,329134516,516040093,540338947,272802914,74221452,550329424,693796617,-1,-1,758629432,559956384,161979355,-1,-1,49278567,731502476,-1,90756605,889111978,822609224,822035766,416746875,-1,418236616,210861832,226785676,-1,-1,-1,508771530,306066529,705664343,830119590,-1,533125759,186668065,85604198,917391494,-1,449045360,-1,941769021,535708533,424738299,457936896,7359078,74264414,-1,-1,599368368,-1,463716209,891511400,820512215,118108408,218528502,-1,206706641,390215513,-1,856882621,346334680,24610636,3206896,218365404,68080787,366552567,-1,-1,222007591,414446545,-1,252708346,-1,-1,423090896,39791746,-1,743423639,450045689,917379740,-1,339630998,136938493,-1,-1,-1,913142041,789608332,776434186,683281176,320381322,254513003,-1,398787271,770679966,-1,561886457,693801694,366970758,-1,611286688,-1,-1,348286152,747873257,453137409,599980683,359451158,321105468,642430893,-1,-1,-1,560703495,-1,929851594,75096370,894465141,-1,-1,-1,471206280,713714341,391363815,163017888,599436268,-1,618054620,139673290,-1,-1,53489882,964519149,193350169,-1,33668313,569995894,945259017,573692250,981837967,721549083,-1,201308686,-1,143374274,551631336,-1,459964160,937510980,163529090,29442497,-1,-1,600300036,-1,783781580,92102126,-1,152268275,-1,527574088,906325190,-1,703877318,-1,164137427,-1,186534671,929307019,220504221,673294145,-1,308923088,-1,-1,527145480,-1,772797017,932943068,322131183,296372742,-1,196309925,81639166,257492607,202322278,200094845,-1,303575621,803451195,727997163,497424635,-1,565013044,311008123,-1,-1,-1,550315016,803927205,67277779,256187328,-1,342423832,431495795,-1,39025873,208411747,-1,-1,-1,234877481,786369652,-1,579392868,117954746,448480679,232144025,737133122,408954948,404225788,971569053,192398424,515242052,748351757,290674370,87897154,53045621,813674912,626282840,813855854,868794916,916130993,748396484,760198237,104181796,686893523,389550264,705588163,473406383,304460523,-1,717931462,-1,840741558,982560516,858264425,726104645,-1,965327627,-1,84319748,89732002,-1,-1,896492183,332482358,-1,202496039,327104141,664486955,127446489,-1,-1,138726467,549087060,834760371,711126847,84472536,-1,178180003,549545319,558675806,785778323,909812419,-1,532749467,-1,733550866,-1,800105703,154350141,-1,602894219,-1,-1,242686181,255010598,-1,136308373,-1,518507592,580341144,-1,-1,316834091,364298085,965978291,-1,553741469,617157268,177213900,174109911,248302313,939923062,52510698,654730174,-1,-1,-1,230440852,301477810,547766169,164770788,282646369,-1,197843148,915359258,668630585,31058626,783251060,153231615,612350552,737050082,867123452,989719612,557275209,946995767,732531106,-1,966207200,199387513,370750570,852634202,754113253,-1,446292714,-1,481668120,675637435,206091453,382852198,-1,553191960,490223724,21973314,-1,-1,-1,794573915,29254457,610762808,865599140,367867443,986317160,582969264,15617112,277200165,17003774,266811968,999995929,565269138,404723790,88671099,226068182,153581391,374451361,-1,66136216,-1,-1,204009601,315796469,788096346,833506705,-1,-1,221810251,572636354,600903524,361722152,493729433,984372457,82680257,-1,577656212,320612865,505299823,309729471,250091081,-1,-1,973781785,927638802,-1,-1,685694235,-1,-1,337308487,841147738,-1,119271813,-1,722728504,281281844,775742764,285060959,382065985,909377941,-1,534442397,-1,564943271,-1,697458207,618394997,140603630,896855521,-1,549889992,476612989,699065546,484065307,632934971,92614338,-1,347438275,473112431,302104397,345705580,998615449,450658078,586019054,537620452,-1,790786239,-1,287908004,183034481,169667314,929849895,-1,-1,335123241,-1,-1,449106287,503269995,789110446,46294524,349299893,-1,223663045,-1,-1,29533966,-1,-1,668415342,-1,923574909,-1,374730605,-1,321982222,368709404,945614082,285596464,371423262,434592694,632300676,-1,678072809,756474782,859882430,555191464,-1,-1,610623331,-1,511542593,677009414,560678612,679494883,383408614,-1,628498590,664304327,905466027,606366151,-1,-1,-1,-1,847134029,313169316,921523596,663627664,170312473,-1,-1,-1,81586749,158614746,653908344,806605826,401317195,-1,35032165,217305305,-1,589717917,778743227,116701176,104233782,431749972,961515196,84570455,850492995,-1,-1,-1,-1,-1,876874540,219635757,-1,197980141,386926862,-1,841124039,796335711,-1,-1,924569114,254685591,442482782,498805848,213952118,787553181,965778620,538178252,402421781,682827443,275206439,-1,427893415,905687460,766346970,396765722,44152054,-1,330646003,944994732,98298436,258946194,-1,-1,259845240,682951982,-1,352215994,771944233,620912312,-1,409220047,297873154,696061270,849342016,85348128,863489081,570483420,530215196,888796870,498782839,120739651,189889905,101711312,208846075,487599444,311738943,-1,-1,716222759,280274022,-1,-1,445629052,406883252,-1,719337841,525869660,475150760,871958341,890185989,353324897,-1,2804091,224180071,361601933,493808777,669634668,769862253,339189820,-1,459859297,692482000,-1,252218010,110776087,912771549,5506743,-1,-1,251431666,961817365,-1,-1,248168671,144574851,-1,492323936,84246247,952812879,960938140,942727458,110222507,-1,470748659,-1,-1,934046621,49165376,654419364,70153298,630898278,706626503,68971708,190955143,-1,452675326,83689186,138159356,820490734,279685408,773126718,-1,922745875,360043098,-1,22286671,899823065,174211657,612111411,512322430,899296335,-1,148342858,990365690,-1,269926294,784910934,53223891,217089833,892061217,133164639,657707709,-1,-1,-1,229581006,-1,122703614,150841715,411317910,321263634,295004799,-1,156319868,-1,-1,44688544,482338911,303559635,-1,471432743,823414353,-1,-1,866754501,-1,839824749,-1,748346307,603345372,706133066,675075252,-1,91242508,-1,144849491,562770890,426757015,911625189,953671506,514695638,425245614,234640594,-1,883890931,181600943,-1,-1,-1,804873128,868371126,240388020,-1,434026641,791989850,943128680,104042269,197049197,516049975,-1,-1,726254280,147078858,981130579,-1,642130999,-1,143844566,222883373,189221007,-1,154379952,293707602,578612841,351104714,-1,252991242,-1,388522575,-1,431960841,-1,647375583,506282973,-1,859760241,490465072,398659448,445782079,246209667,53000224,224273130,133990278,-1,300664048,467431759,357439454,916794619,-1,842216358,208807063,205293993,66283045,97370150,677711355,-1,949966648,532515094,280863549,164095703,82710807,-1,743047557,7241089,949834175,927043071,72431008,158173500,846462910,-1,-1,122220906,785565410,-1,380364447,-1,288243286,698864632,-1,603361583,171490920,360534575,53957580,-1,-1,411400482,-1,703222425,276622556,544964478,-1,-1,731227965,767028031,345180971,142215406,208332102,295046349,75739075,774329738,842072880,133281730,199938193,-1,254249040,-1,756430840,-1,216580590,808376542,782288982,-1,-1,26804709,-1,725081673,996486348,-1,889172990,470194286,695320336,853359301,-1,949886093,916745753,-1,-1,434752518,98501816,4716168,332054092,523164551,-1,938565841,-1,-1,524664200,-1,-1,825386672,-1,732854465,-1,259047425,273024844,542376447,800692890,625276281,437674179,-1,127470196,579800145,207131736,874201148,413854485,693719949,695312394,257558859,217880426,-1,-1,438845150,84143484,305358438,647865670,379427329,785281881,-1,824808971,552792461,-1,948258109,-1,112664856,-1,324498946,931486861,-1,296715842,380246764,567366451,62494098,709620084,115445365,351149462,667172847,182361471,466661116,357552527,687224956,251977523,-1,547034672,687149858,322979048,149175116,-1,-1,514141368,702464431,872158329,-1,-1,-1,227599983,537860296,-1,954497189,-1,863660264,546799084,414054742,350226955,563069489,151477467,39979398,-1,-1,505183779,700120222,109570005,544460463,-1,-1,-1,156809937,649943997,765620164,164172171,700417288,195627896,641509578,366147491,-1,-1,-1,655719326,880298455,850989833,-1,950828189,403254005,-1,623561649,91519307,413784426,92396274,258317703,467021133,615307266,231345812,516800711,405570361,-1,-1,-1,114498852,886554404,640705511,805542975,574576251,316421085,-1,799663583,897072942,-1,-1,380209872,-1,-1,126001988,568721108,79391161,53462296,-1,956300847,-1,-1,132498926,647304636,303688509,-1,347643786,-1,273257903,632521219,251134738,126464209,-1,205283681,-1,-1,545388792,-1,-1,-1,258625913,867369534,395689825,463702464,-1,235563987,298312054,-1,627549227,-1,-1,-1,980400341,763014539,-1,159060419,482366140,413503013,-1,505344371,734737656,145593677,-1,194961782,516543607,227267892,-1,537063108,-1,886071925,829052623,330105821,-1,315725404,-1,395780716,787440103,-1,300223755,98574585,899706455,496650590,78706074,952535115,-1,-1,911137800,-1,485294427,145804337,281114661,-1,-1,111834517,606995738,88632243,953165976,-1,-1,-1,356509664,-1,900792905,458639409,281117991,24709769,-1,376010125,468755246,817588614,420830019,-1,406489563,184135605,-1,-1,120846254,883827621,-1,241131056,268156552,-1,192117197,168090323,212629068,243783216,281546610,868718474,186321236,-1,-1,368485229,-1,214594664,578838326,865799108,334495676,-1,846653766,-1,-1,-1,599841172,-1,143711879,261611283,235202897,-1,897098672,309942092,729668157,-1,946217008,986679815,-1,326613026,469949069,63711543,629294977,-1,-1,690589960,-1,727850237,288397507,432467277,473515887,419969737,614650819,89254115,-1,-1,607363317,112055593,922566502,-1,323929521,276473190,756895800,362362529,702129617,103085552,27616232,831745957,183803,751196631,16037237,660148551,74152482,209615219,255589766,491718720,-1,-1,147911848,906251537,621178518,401525892,243429564,534077139,-1,246228960,-1,390716571,420039660,953718600,-1,36876439,342903851,847299076,-1,394549952,7521032,178642633,-1,237408469,833841924,384028171,539096562,243464289,365878346,391273119,501510036,389583795,-1,623543370,761477891,276217000,670532715,-1,609982922,-1,594124597,541022726,-1,-1,-1,504975796,953391752,-1,668944811,696440818,-1,439461931,305118023,101429992,-1,647856502,113964229,785714640,949362537,767643536,194216324,643678375,-1,363658989,349762856,-1,-1,928509843,348230939,937636473,272844024,8081149,-1,919686598,37136394,255082829,678512061,330568111,102321444,463821451,129726805,432246056,340505822,-1,568806779,170841313,927638167,126589447,350437568,64266074,353866952,-1,-1,547670552,643833385,47661235,224431835,68708659,73406177,393109392,-1,-1,272013948,441365175,88200491,268440701,243748057,-1,154574469,799714827,159287673,78367922,861689248,721270668,710342344,898597402,332027001,228398351,847947593,713711370,385796410,687565550,903471196,70068089,-1,750043581,-1,175208685,704058818,700771828,895306075,543771998,244937965,383757129,-1,215827749,74703756,732515299,435824300,341172775,687083914,861996993,680152272,552029548,478461005,164128977,850047452,480979781,295931819,120358341,245245752,134016531,776434979,-1,131263997,-1,-1,598760688,-1,380385784,-1,-1,-1,173378538,448832938,942522847,523693183,890976267,144392552,400131903,470771004,551484549,32006402,-1,774932829,73173971,-1,348404916,986054678,808804060,432799275,153055663,664592051,478977188,231929570,950116608,-1,-1,669557157,353404937,22789900,-1,241509634,214221892,828581639,-1,135884940,425686438,337828074,988785369,250393345,-1,631758165,318647017,-1,-1,416610846,-1,949269743,223602274,-1,474316704,113623566,261679507,29832056,590983849,181647980,323296393,-1,473581347,959076870,973671007,515551481,-1,640170291,284270516,447556856,556912172,407593821,589484518,430475467,55473321,-1,-1,30161915,333166004,227383243,-1,130375253,625003774,275682668,963846339,842167772,902491608,867567449,295054945,186547900,731348815,950627087,218865895,-1,957278511,369684455,-1,-1,955494639,945740017,877216555,-1,-1,830697595,-1,-1,-1,861233814,879160331,257559332,914247289,832488329,-1,668981303,-1,997044565,71431440,1504874,23229442,227496786,709616619,521590585,-1,983272101,-1,652457045,932746238,176317056,-1,168334474,484768665,-1,130813265,406153724,313149589,21469111,954927461,-1,-1,816828502,-1,123578782,-1,860064234,772456002,859030979,166723920,-1,945787517,298819379,-1,192924544,-1,-1,542980403,400474719,29505449,847564331,271379284,906974599,61935095,934543259,294086973,562321494,468656179,594805003,800090618,-1,32329013,-1,503437735,895104567,805407478,706908176,503343330,798037041,548784525,577919812,811361372,811372159,358638011,631247017,587987752,886219709,244271769,197504167,-1,367468004,696261232,590097858,336483078,376242150,674705895,853840216,592987323,247136186,-1,598352116,860661932,-1,394337665,-1,116464040,323204924,207883177,500521751,945168274,-1,571148184,495560664,249808262,469931288,424557254,-1,21629374,-1,256335180,643307888,275514031,404104328,-1,304001033,569520144,509675263,-1,-1,111931030,964169325,887805846,288981493,135762209,-1,-1,654535586,561778089,427752189,-1,368097788,307866535,456043547,252080928,-1,818624106,852626775,525560951,332962620,-1,738942286,104816409,-1,956786380,810272764,206801673,915446561,494755809,616582585,549507883,332781980,892878858,-1,925975700,859588638,607103735,708107015,-1,-1,-1,-1,44841884,853435537,-1,-1,-1,662524845,-1,-1,825573696,362354829,730727704,219984101,345574419,172473521,517785517,495966305,186621011,595005475,250442397,619743261,-1,128802264,969688512,242468965,274532547,765423114,418209185,181539970,-1,-1,847973499,542376784,773932063,-1,142683799,728219546,-1,-1,183804207,966480535,765782982,599435030,65506267,507779432,874655171,-1,178163762,803696504,199456443,118766151,-1,433973070,374268363,-1,379239392,-1,357630809,181840492,781662263,229984327,283704808,716470424,-1,-1,270127116,172409187,773551733,59187738,-1,59378729,-1,-1,-1,927212620,416863798,963042125,771109999,923530017,-1,-1,879968318,314877994,155082165,-1,14428429,103453481,684947914,823862043,467191250,183332216,748396639,-1,455565785,627004616,841405407,478147700,490974345,-1,-1,791266239,-1,862089682,-1,411582130,798578171,546135308,210677072,65698431,866352100,779501935,595660630,930118472,887829160,-1,469099908,29563120,-1,885592131,992079198,563240024,329823571,388005970,745144715,135828853,145026702,-1,913763537,680150314,407795684,66523590,557987787,72796717,636423420,466009060,-1,315559170,-1,54844174,374831120,160615378,-1,191262601,257171411,853796411,462547976,937450032,6017076,-1,263815604,313690321,714735712,-1,316324746,-1,471575476,504270206,443606801,66908796,621656326,687985015,887051843,49864859,89859930,391165968,670005665,177411488,25049680,37009640,448360270,684189767,554186425,256260865,469040865,960679853,455268915,-1,-1,146026411,273612655,99785167,-1,-1,685261157,672291673,814702287,833145301,480647507,455405252,693910516,637874171,554653792,992691769,3650397,17530641,-1,510363459,986372990,208118255,21340035,693489018,-1,735115182,169365011,-1,846854699,-1,767577473,944962580,305273715,-1,716127754,827932276,96233236,-1,16942806,-1,220299801,91951846,-1,-1,762071919,552827074,425150830,171829125,-1,831872189,-1,287380153,-1,483347913,-1,-1,348421655,112876093,722403023,438163590,139883318,-1,638123750,-1,691198710,719212248,-1,-1,144811370,126731312,127963833,743366772,674169218,-1,189351805,-1,791476478,281037151,-1,-1,363752317,744415248,978760360,626347066,511357946,-1,226702573,288155757,727776021,781779710,-1,653773898,-1,887184470,645687684,937317870,876021474,408264087,-1,296881037,-1,-1,905651051,409739949,-1,451281870,331289872,-1,975786659,-1,874592042,357800791,541798143,319245646,-1,266484271,914112037,337648167,187769381,-1,238441639,348276113,903211948,912872151,361850471,593885741,891559217,122779111,279039273,-1,678575737,-1,962338289,540590146,495233644,866765437,862304988,442040938,568061105,633782124,-1,-1,409368142,476225698,993341134,-1,159026523,673558,320317321,-1,-1,242385485,748433108,47673370,952643352,305656540,241279248,686679438,701811565,368929225,57289646,647119344,700419079,-1,434531629,597208613,138863294,945408659,-1,78175167,131846661,885058587,-1,-1,331424435,-1,77593330,637318463,479498467,-1,29225165,234120428,-1,470752241,776207354,13767193,194842257,136923033,832974129,32861995,-1,-1,-1,51222606,100566068,56976821,901992255,95245809,590815241,301036386,628329757,414735959,265054437,202751733,900411078,621283093,687094814,8633776,-1,739740537,856942666,-1,972555847,719628203,112060252,501942376,547050069,689632092,-1,507864684,928146318,-1,-1,849920733,941062725,512874838,142316289,936580217,817083751,67553910,-1,-1,879785502,632179364,669687193,97607371,-1,397148513,136333606,807346381,87643839,265942867,558350556,218671109,382532690,-1,185156207,-1,533178979,389978972,348619630,947462981,-1,-1,300390058,417370709,380571023,-1,28240634,-1,-1,776759590,-1,284075775,238308806,167985127,-1,68392284,-1,628119898,519713041,671220621,314334272,410392608,820224918,-1,386746458,343042708,67067350,996381138,146391459,-1,395468399,638622765,679759814,577843790,911007535,661008162,-1,909385094,873568055,68723598,696697645,669674225,872460110,-1,885406451,-1,884909031,16789913,725629372,754343315,-1,673587858,846226445,-1,614707723,786939074,-1,-1,-1,287898261,789643339,848053,922933054,169540686,981678741,163025554,325902458,374955841,886868418,-1,406197785,-1,43095756,415994913,609004944,252498880,280983047,889860262,257212343,16789061,193516888,-1,-1,775134919,44805996,863830911,817764254,866571793,116162288,666240515,-1,958255225,236287890,69900519,136816973,163913910,199668950,288341686,817153193,598716259,-1,365255236,-1,628997493,688587155,603867286,-1,-1,216012170,263863294,-1,444381196,150216460,222092725,433335860,-1,376295170,-1,680150915,250696552,94060274,-1,55627945,217444499,85516424,-1,-1,348115230,39722932,-1,646548696,-1,598345538,921235065,513230518,599056264,378225157,-1,9591438,-1,-1,43679476,224817457,-1,278590515,962581438,152544840,198483870,636725702,840683039,-1,165711208,-1,852694054,747925495,-1,534763341,-1,917150489,612826768,-1,374879393,-1,754167270,287755704,-1,487084472,509210957,463415118,-1,271260206,403491386,417466466,885467497,13405391,-1,-1,-1,534297968,-1,187822340,731889260,517178943,-1,-1,370453994,-1,785643547,-1,465719393,544498623,46175236,223988287,824545698,-1,-1,-1,-1,-1,143072019,27341911,158440702,198079438,788687615,199089556,-1,992774370,-1,191978196,538047879,-1,844993335,840897848,259952216,-1,392550230,411272154,-1,-1,922308481,248426324,-1,416932248,449956989,616619484,-1,742715878,-1,-1,304847069,-1,774807814,107257831,443375161,310993363,128316642,-1,190367390,-1,-1,609244742,671124054,960224125,971953170,801623981,506499375,138965657,732482712,-1,31125284,124575134,718883232,39586005,-1,-1,55341292,782128986,871721041,428194175,47682557,-1,-1,747930743,-1,751776221,-1,74363228,472876088,-1,634122681,434801210,947856198,-1,462829641,161575682,734435305,-1,-1,7579916,284243037,-1,858996953,368374929,780365490,-1,859911049,27759721,-1,234011149,588632814,988684706,364798062,42792758,640003328,844219685,269542889,288728620,-1,290347837,882346380,240414410,67595494,275032053,88893408,515310441,383458184,522807185,74904519,611015041,-1,-1,38268717,367435034,-1,571370161,983274359,753656474,856786033,998194613,-1,56229124,57456992,-1,161211709,722915860,497781362,772510371,255981628,546500065,-1,105152146,350109164,314913547,157427927,854142894,189852934,105887589,166706676,648964113,717332514,-1,-1,-1,-1,937036383,430237242,-1,-1,912167160,-1,783549478,396731436,100080742,34176564,135062816,-1,-1,184208931,13964076,282020576,754487531,717755723,-1,702808542,175917882,85720158,885733629,-1,995914158,-1,822752298,231788755,-1,217035445,931163260,563265375,1889716,408160934,767015036,878004801,821631819,380663808,-1,-1,-1,-1,130490119,168281160,-1,102373487,-1,131944757,-1,17855817,724260947,-1,-1,416293461,776856357,446023001,867713079,689165636,90556060,729957247,456522287,723577284,311456635,219027762,794150836,-1,-1,-1,621636607,-1,-1,852976940,51469527,-1,-1,387844816,186188675,-1,-1,-1,-1,-1,638551861,640516294,803664353,-1,442092717,-1,-1,-1,178636388,760960472,541058793,474510177,-1,377424564,-1,889445779,463401397,-1,781861616,-1,416964376,58546477,733352031,-1,-1,-1,381237281,-1,392157136,351644414,-1,949439956,903653952,-1,-1,487765460,274130338,207349018,-1,984432752,664500537,487691043,213326262,-1,-1,-1,177509617,-1,-1,321107630,440687904,326023580,-1,-1,-1,-1,119630641,696176015,371366069,153675653,327435488,20253492,681419664,-1,154726326,-1,-1,290816762,612336989,669189975,-1,724449157,-1,775743289,402974273,277131944,162789300,474174464,-1,762928556,947983282,520491841,440704891,373657874,258429883,-1,-1,394096785,383989313,602255519,194156667,-1,-1,65915568,698859788,562192702,-1,661129127,-1,-1,491432216,-1,569747724,-1,179966258,268851004,-1,16049577,129716987,610962057,-1,290042535,191495429,412293856,-1,102815672,917933343,950002742,-1,146815705,670508408,-1,796596186,-1,12844097,-1,-1,-1,724528152,-1,748261040,-1,752070668,171039651,164161134,769506588,927858314,-1,-1,997168113,-1,772581484,986506135,957083073,-1,-1,-1,-1,927159712,460197479,566410683,219376265,566966368,691857816,822014781,494716461,-1,809495763,928683397,147732481,896835032,746873324,938704241,216748421,488207737,80750577,803099608,695288615,815674478,789078165,844937770,-1,48150735,898232153,333267524,-1,625095404,190884361,304944042,875403240,273701064,403530415,-1,705523324,731381794,-1,303551615,407356085,944910928,469789239,-1,194958785,234123166,-1,200151822,10673599,996244576,709914132,270141254,744477234,494336644,-1,44774326,-1,780067293,216905889,-1,-1,15149657,622790163,33119513,6138455,-1,587470642,527233776,876896892,460435192,-1,511625761,808871940,417020053,-1,141585912,391827844,766771059,254173127,565795355,-1,901105072,105734286,818349777,-1,290087580,650766654,717916293,356399714,-1,11382820,894206233,150960328,794823414,-1,944604965,-1,-1,-1,669979450,-1,-1,951434564,-1,-1,262440611,367275887,803885891,651935020,160653951,-1,789612420,890307575,523557217,-1,600651085,-1,411634778,-1,647507217,884930917,682796905,444726197,157653133,156725318,837573346,870685994,450604363,532004088,529022463,242435268,740043639,515022823,-1,955860749,70935737,539331852,155729861,349698231,733874319,-1,954347965,-1,183125372,846140739,267872445,-1,107226081,-1,-1,646092630,735845040,-1,-1,731100464,951712244,148416321,227866761,444460069,256993530,539320159,903113869,277008189,-1,33176755,134503751,941285504,261550542,562355753,164975842,579874149,813839649,230101051,84374289,250859474,355784412,-1,508562746,203019696,-1,-1,899710536,565087930,-1,-1,618622139,-1,55262421,956768083,328966820,815403767,56303094,154607346,336015551,-1,336303333,50606220,853239890,425240854,27633323,-1,984097443,-1,786961299,-1,395810208,511151257,-1,-1,-1,842862815,-1,-1,396203715,-1,382093886,-1,-1,405349959,427627086,140533039,93515971,868605572,-1,500336822,-1,33725647,-1,975339368,-1,127040595,54655975,906680246,-1,-1,142088261,304706139,637444872,-1,426519642,550982189,87567495,-1,873264064,108309587,-1,385677389,-1,-1,-1,728665934,522009562,41215665,590085048,-1,83472664,132237751,888212085,-1,883333010,818425703,958618378,247672232,-1,-1,748497266,451497961,-1,538200226,-1,58728412,867830924,906736380,-1,64439459,-1,180414067,707324003,291391162,67962540,-1,505091987,725309760,755226180,597824317,109621541,111282971,932302315,596030428,-1,-1,640487767,251011047,273899921,-1,376255924,42356693,687823492,935170628,800882976,-1,25975320,726774405,157857861,646198297,919211208,412516085,487154706,-1,-1,736721421,-1,-1,42938628,337425869,888842992,163600190,-1,773677225,193515843,336738930,445710050,865317510,-1,632709204,-1,19701216,-1,267735831,744118318,-1,393730484,382000982,573856278,396442029,893553821,865274792,76486207,802148868,999755914,519289,-1,838853677,266822703,751230125,-1,-1,933089043,188508718,773645666,-1,566353096,464992381,953528829,932058230,315045302,-1,395361179,521995363,-1,479413901,285100607,199244402,446866138,480928523,848843874,791619424,692524879,-1,214267897,-1,-1,281269338,416874548,71493097,437970838,470924696,352640942,934379345,226465974,-1,420286966,112361305,475885160,174372979,25065776,919226997,348494734,408222359,778491917,-1,934649115,965756395,60759883,172179458,786154855,229337395,190099152,390731054,833579429,995952058,-1,4392845,966900940,388095372,542513805,-1,762859165,428780189,976800094,-1,363745764,477985487,-1,755873442,-1,180534544,959502985,-1,636730420,399833198,392894035,631279135,210155774,718832307,570397637,317724563,893849842,816766615,-1,581907193,981259487,481382516,-1,947011007,655585226,223093291,517926847,766572452,725324231,480156832,289163901,150608898,-1,863651279,249931629,706288618,292917181,-1,419615414,581894534,464067413,388759614,-1,174339803,385761479,-1,-1,-1,-1,898335874,-1,-1,414315136,380172777,913824407,590612072,-1,544811847,780100449,482756175,-1,-1,-1,867906075,-1,721391883,881518575,440452692,509107625,368782049,730209183,607128330,351800900,172039643,579657703,802022547,283972282,-1,-1,664021886,81209513,-1,175666243,-1,-1,-1,927909154,602470698,332463297,876491441,272293813,-1,600675363,414060769,323904651,26255485,163486156,424369678,396101321,835057246,-1,817405192,266605079,-1,204691401,446667345,273252184,867018789,230020009,785717611,353362986,164333163,72978074,-1,-1,682793106,-1,990278410,907164997,49184535,699061450,63179838,-1,852524779,873871512,117928172,-1,-1,722064691,-1,626378275,604874172,281921601,463834469,513169421,839017959,247490975,846313253,919379718,-1,464486866,-1,847099029,937322903,115388290,819411236,31239750,2489706,-1,932879154,147183522,332052634,100793456,94013130,-1,720043002,544205778,495269127,856608543,8344056,371105920,-1,22087056,661879256,-1,176957818,701105117,-1,-1,473683014,58177460,416031065,-1,702202479,807365186,218177087,590244125,186715318,-1,903175952,465806433,567175302,24826583,-1,802987105,-1,869846385,397151190,30225452,318797468,-1,-1,943237458,344026153,-1,327301708,862234247,-1,174568451,121673099,577699141,-1,136145609,-1,734456022,199905929,422432024,271680722,161935423,6400494,447535691,-1,35341105,589929938,-1,-1,70114816,385042582,972555584,391756575,-1,732734384,702668677,-1,130480552,-1,365166760,-1,593318068,-1,749366731,-1,741555450,-1,838317309,54731700,-1,666631791,310127132,345806987,292224819,229520927,798258209,183968118,62768815,519244786,21943668,525186516,-1,149443513,558630765,537032510,239715385,513867086,733791666,900223923,-1,204663517,-1,142021926,483315785,662131082,44572154,165783282,-1,-1,-1,-1,526631155,802592772,368245125,537766311,102274278,824583014,-1,863829868,786835772,113662136,331536612,694757996,512580561,938049755,255327007,748081398,907781022,225077599,-1,-1,815636810,727611355,819452832,-1,-1,-1,2358805,474022647,87012064,236253767,726090922,-1,331139149,195926537,637388531,817774260,-1,-1,772181672,-1,-1,437119549,458670516,331386927,300830766,594309940,128546988,853420903,-1,523831917,-1,-1,939463797,894455512,-1,-1,278986060,-1,544845060,380048488,791050638,385629758,169577945,489406435,-1,-1,943689966,795329640,972222085,431944743,-1,334423735,601504414,629825253,-1,-1,164111219,648740408,574992334,318525925,359857062,-1,581686937,-1,677260127,15226151,-1,-1,130604275,366437590,849880950,145525512,590221743,577937595,-1,713899738,937022920,537482753,-1,703314382,717627015,580258954,-1,502009051,-1,618465527,880520201,244697171,371098975,-1,338209035,807501335,122657766,444312743,448398711,-1,-1,-1,925612408,765601532,851276294,23389959,-1,-1,-1,869327273,633054806,-1,131369757,-1,-1,543526238,743250023,-1,-1,-1,-1,494983103,298252493,-1,623662189,391477882,769616209,395845825,932371877,-1,-1,724784442,530213278,192758094,786101919,40279106,16763764,690058997,656558566,297471644,965453244,413974349,-1,-1,667784804,868438975,386821574,547182278,128898071,939390155,179384072,848372363,973524380,362631974,139853305,531394657,-1,-1,194639704,796756860,-1,338914451,38537701,503759184,134968206,193800925,-1,-1,541115377,-1,261999960,-1,788064218,118195360,593400587,21142797,344436004,269323401,915738658,-1,963868904,540498873,-1,221991790,-1,829261353,-1,-1,-1,-1,937720064,387539118,445661573,203919449,21289882,-1,-1,794881844,-1,35302795,335335544,10766173,254300642,-1,-1,383819360,-1,730419928,808650284,651460528,17323314,964568067,676361505,985178160,166140176,364567879,728021466,404902837,-1,-1,843960879,14724299,185696354,819463868,-1,-1,639262111,75846176,115082903,886905489,-1,564684765,90482029,-1,282264314,-1,258812593,-1,520859393,366429542,-1,-1,-1,735838058,100871250,-1,597496059,-1,258804218,688396306,572414287,48382151,-1,-1,-1,-1,330491205,-1,542300278,966117020,-1,-1,61186715,-1,141191235,780583946,641875830,-1,791018611,197041602,-1,228059885,740231053,18915776,-1,123289307,282832794,-1,-1,615282343,-1,207705886,-1,400669726,-1,-1,-1,-1,-1,984880033,-1,491548854,41199892,231517378,858368976,641294510,328990689,964183101,613403673,494298467,-1,-1,578908282,504927836,857962973,-1,230820842,950411001,-1,-1,244941847,-1,118117737,-1,-1,765752878,-1,-1,-1,218067596,322290425,-1,622508589,760835998,758607960,137738647,633437622,735367328,-1,-1,994844654,588095542,847164111,-1,585979263,225111005,753738955,-1,420719194,203859193,-1,753778482,675717033,21979966,-1,876397057,420475854,507407601,254848082,-1,914286027,122877779,498951927,521035338,977369306,36287999,-1,425644239,99713991,-1,-1,-1,724575246,740576417,10309127,-1,351136806,560609372,822617789,-1,447416481,-1,80483390,792548716,562851208,565651410,686543144,-1,631978885,691931754,-1,-1,-1,-1,845329256,-1,132481783,214440469,106727141,-1,841386671,989847382,438240265,151075366,776283234,-1,-1,-1,-1,-1,887310490,-1,375957850,794653413,765266378,-1,426353824,141131685,670613705,771663241,570116937,-1,111070009,486846319,-1,-1,949070295,954114277,228590259,109895439,639852753,226449456,-1,-1,255159920,952766493,129779995,778427084,-1,-1,294836550,-1,960027123,968957470,813041535,344104214,-1,976493437,780943216,-1,982244480,478157969,391280296,228895336,310043450,-1,-1,-1,316468153,248474770,-1,-1,323535607,111017962,493535653,61074537,-1,906634074,-1,187432815,-1,-1,-1,518168387,-1,224083477,657518275,385128319,820520963,750186532,981415586,-1,-1,176112782,811882953,-1,686289633,189105954,681002562,664540050,396162866,557009760,901919281,625319410,-1,163973325,526495420,564055948,-1,-1,593051810,936450987,3464959,-1,765908369,628287825,451626025,340026668,-1,-1,492237107,633231221,394130034,869798510,946347748,-1,-1,444120734,58872989,862081469,365675512,618583993,406128237,598412211,88201499,73423883,-1,695447690,-1,110420978,-1,70950057,-1,782311155,-1,346164754,213272111,217004747,507362502,-1,822875028,-1,-1,216343817,-1,-1,120564244,-1,-1,373546096,632246040,245383968,369922881,-1,549392871,-1,70426066,-1,157773966,-1,-1,444898874,676490723,706923389,24505250,-1,796895946,284697862,855487015,947801297,330846511,988130561,554466081,-1,-1,892249757,647182424,314779380,482493663,850654719,-1,-1,-1,639307857,677291578,203277301,-1,83688721,-1,-1,-1,985508477,-1,610817198,384511745,-1,83038596,874771613,374423097,9754025,-1,983810393,209100871,68287601,-1,381648655,-1,7408188,997680234,764204020,448188349,987510672,51125079,-1,351189572,993132583,525720689,368924242,404676066,859898619,295617265,-1,472575856,155052874,712900738,873368518,318639667,551726027,606024380,316799893,-1,621459271,896592271,699773408,244775117,-1,-1,667873866,-1,256073504,926450794,494612181,487995904,79140393,903152193,-1,894572983,-1,709728635,815938895,594428396,179315229,76725249,482625333,258137209,-1,864491931,997215104,899339881,869785796,682644576,932899618,-1,662394684,-1,898193142,248425374,769970121,-1,771846999,365348733,613246425,735374799,795660267,-1,661754551,742176783,-1,585356372,978819622,81309286,450121479,-1,-1,561188315,303634930,-1,162461626,957682973,149636989,652477663,47567838,371440323,827096421,294021794,141261451,-1,181417953,-1,281902913,618727963,657947654,-1,-1,303995079,268601782,737772474,163944018,201364113,162212783,736013583,91442947,490121390,588987599,747178505,252668518,972390503,408881087,-1,708012672,101851673,970548277,148673461,719361156,766986309,634016239,-1,347130142,958169832,-1,270221568,689529858,947562262,42940482,-1,635971719,867768052,-1,316496543,500987453,946108848,-1,670991199,-1,301120337,286128081,-1,82026070,-1,-1,805992865,394968184,181868527,27382073,756148263,810102402,73253021,-1,508753701,348236532,365092959,967294498,-1,-1,118069550,85249543,-1,-1,-1,-1,714182267,24439795,-1,766017207,-1,535969952,-1,302391737,-1,70817872,-1,998784058,449976013,645340879,-1,814990448,-1,48568094,544104446,765747942,927679074,680762642,884685250,-1,-1,897489614,396404126,-1,65662685,966330330,-1,179419635,104262080,730112542,300145992,814393211,-1,-1,262130719,983737636,594523941,416732077,563719882,955512365,431335619,907216290,-1,-1,770531952,797359529,517916839,383482661,-1,-1,-1,485379585,746877779,386988385,55654058,224815114,386291184,691230610,710967056,686477515,-1,593958526,645950238,-1,220467912,777679519,815928527,-1,385088978,685319217,438659452,948297472,609452879,684033469,52233313,-1,347220326,-1,-1,8756256,792161468,441413635,-1,731170233,657804855,114621573,22177124,772637644,509128520,894106189,945588070,694630868,-1,-1,44875670,392902173,628533305,-1,429086937,906703348,684989668,-1,938488234,280055395,-1,611787022,946529584,-1,265327648,-1,553082146,192630301,950501571,260610706,865281177,551640051,558260645,-1,983356381,543631758,882005584,75483341,670672684,587914048,725467613,635279497,800022703,601030914,-1,-1,384087872,84259446,-1,412843907,597274869,812591227,474106615,734128469,110014106,580657634,-1,250796804,228387275,218739237,677049190,-1,-1,971309170,-1,941658184,874745843,948442338,-1,-1,643196769,825767997,-1,725063439,833943645,-1,594099390,944933599,277128135,-1,312748847,-1,850695019,308487918,529054533,815650696,274034982,-1,69794745,597218630,943974096,654575023,-1,930110170,899070320,882272410,546484602,74719915,-1,860173939,371055120,284886922,949181932,726155452,391362229,-1,194204804,131091817,232596729,819476036,555681406,551810383,-1,-1,429011467,805248783,790525929,672438850,868553925,-1,553939512,884963592,696772671,-1,377601965,466615910,-1,-1,975812533,269673460,751948952,-1,44678453,749271389,583978859,-1,469750885,68154216,-1,-1,-1,367164004,-1,-1,522419940,-1,395389006,562774520,37234344,-1,104993730,62741282,-1,-1,920995120,914522746,-1,-1,169774345,129263813,232324645,823203606,799012938,238802268,421934978,241971969,12926593,-1,-1,827194238,335165019,199510527,161319024,-1,886166796,285600253,724016705,540771995,621517394,659453130,125788515,-1,657605054,270614322,436145848,231293496,858600268,909418699,969555572,-1,-1,369871793,187648919,557818308,781396815,-1,715433272,102758406,-1,-1,649028700,328950029,493357744,945195029,-1,121168895,-1,951479532,-1,437382512,347634772,-1,604905966,-1,33015662,494666647,171801631,291319813,277240768,273568876,8301727,882986561,-1,-1,995747947,974092096,308457870,658505012,940890575,-1,203471942,273191681,356909953,-1,981052559,980773618,936461367,544094848,483289811,-1,427159801,-1,818611420,-1,406839944,-1,59372303,364555377,-1,777859298,152144194,416242782,113998533,-1,-1,682202331,456996154,497624903,-1,-1,652793407,844000669,647558594,841505176,258978163,-1,497583221,265965084,497202126,-1,-1,722151184,244807564,402463733,-1,-1,447990054,-1,92600948,469042832,986186881,239982964,453351103,400476304,182943499,106892509,-1,476310525,163007785,667268360,-1,90011868,59836994,165188810,190960345,-1,818944389,-1,-1,789227055,943037169,653893687,-1,335131510,419360404,161898984,980595239,-1,-1,308201936,914848664,-1,940530909,270853386,235662539,260866264,-1,560019089,422173707,194570228,532206012,586377758,601472104,975587602,500899896,387701134,403068673,48504894,432844792,331695910,-1,-1,531812990,-1,589664715,-1,801240353,557881398,981942110,262068390,-1,30594287,-1,92951962,504755277,-1,108794670,623515008,-1,697353210,512446426,828941563,447032809,519867339,880281036,-1,936910491,743698132,-1,-1,582888188,148044776,-1,318231033,-1,331966124,-1,-1,387396690,691480586,-1,243079404,383020505,132925465,649074000,-1,802112197,153926784,905053122,520609638,858533158,553383476,228924397,-1,264918406,103429019,450806724,223736139,580049381,131798622,975873891,161954161,846969700,604881366,-1,-1,882463670,959264287,-1,559952295,287344588,145156250,258658844,-1,433845534,-1,-1,78666622,641571179,702859236,115302725,862026388,177648631,-1,799817385,22911741,940477828,904750381,747298983,896354617,-1,930431101,-1,759663688,-1,-1,801608300,258325560,677720825,615938387,-1,987540745,467500726,-1,-1,642166748,647035864,23705838,-1,354905744,-1,115432580,179363164,8607376,-1,217281596,509810456,-1,716615171,196678402,-1,43270155,-1,181292700,306866060,23117133,761036267,885606707,137881604,438247938,326865748,715685901,795004931,712105964,787129701,486052247,115091248,-1,812753962,401155224,631068088,284811563,-1,732628480,126442963,244650877,-1,-1,-1,-1,-1,915474100,714017866,153689416,375109503,104512139,525514392,622705843,926880470,-1,-1,-1,-1,-1,747002991,543651658,147639628,165273933,82885192,216524302,637684729,49600750,-1,864991593,284734833,596183909,-1,988909972,194194071,-1,204776585,-1,250167178,140707773,167227738,635505284,814074315,-1,850454572,923319821,934829353,-1,636586683,612043800,227084824,988092267,-1,235512799,397489208,723613071,959155678,-1,481857798,273040128,696197300,-1,753555611,294078872,305010660,631520054,993313048,604136123,-1,720470841,987175897,670610742,-1,289657656,-1,720240632,112295014,-1,-1,344767913,-1,217571776,448580968,797065422,770324041,53591528,-1,612753086,807859707,-1,-1,380892740,-1,-1,-1,-1,499398974,711972355,859293188,746300281,284275946,306370550,562210271,558603468,887274944,915246048,77401957,120028385,879104503,729208820,847120574,377386689,563102564,864333552,-1,81525421,293481798,525258507,934907059,290975667,140650330,-1,898759930,39803775,-1,245643985,88029478,356955261,28112471,-1,656221919,133200959,-1,632028027,-1,467524441,427411418,191854567,-1,272274859,841053180,472252404,481143696,-1,728003465,-1,203435549,-1,327637156,-1,375981747,591077796,471666068,774704867,588925589,-1,769830894,-1,394469267,589876494,-1,-1,823972866,-1,37414583,-1,196683656,676561030,-1,879652702,713837391,-1,459012570,-1,461808719,617846183,305546944,975907973,146412635,796296645,34563270,-1,846634627,780100504,-1,523575041,612696520,819090934,827775010,959094190,909088416,589079868,-1,485161473,496492767,305761286,-1,235843175,699146065,-1,243159381,-1,200610597,102521567,-1,575750760,119251703,7844109,781181917,751509370,175542029,-1,355451427,-1,966348199,-1,150602789,685757237,862125028,352901353,-1,997598820,-1,-1,-1,278006700,456990495,190103875,832656452,-1,-1,567578983,566696584,240577290,263478312,218355122,188818162,674397709,734808007,866948114,888251467,699174785,200276629,173429946,606548688,980281662,906292236,904298284,-1,-1,928675928,600062213,765761549,603618479,-1,331546032,-1,570347929,736942009,421858083,437697058,726550975,321957351,712206073,680296877,467121734,215778915,557499438,551927300,-1,123608667,91362531,852016226,498984309,-1,804435784,542806690,953416343,15211029,912300648,171204077,412327517,-1,-1,552148556,-1,-1,514574302,169374918,251791703,875024565,861385614,985415391,-1,351388918,-1,570793992,479934991,425161508,-1,695123593,935178640,-1,776765245,659233948,188612306,98520512,607092182,622197737,148368474,137667883,-1,-1,843475412,-1,218393382,-1,-1,291079276,865107650,-1,-1,827312837,206632189,990832702,9923085,88792721,375947539,-1,-1,319067649,55781023,650144651,382664792,562408511,-1,287463494,-1,79944344,68466410,374115495,888205773,781120947,258200231,-1,-1,148110696,-1,978795716,-1,-1,889989108,907030944,-1,-1,241750428,96584471,309959442,-1,480749778,508138132,606926050,133942187,500623443,-1,-1,905900466,-1,63114280,521111213,560943951,39518354,555938744,989046597,-1,156432929,-1,404537486,-1,-1,70430280,820753900,-1,259208631,890565662,624516180,787190953,-1,444225797,880729729,13029858,915099177,246094454,923796267,-1,13556621,-1,702192080,595356233,-1,574059699,164351245,654880543,313232638,949593549,673401869,-1,-1,-1,83205769,700055148,154763381,-1,-1,307788998,438925860,900883780,335478185,549543947,-1,625839750,-1,545998168,556867943,543823375,999157041,-1,587940552,-1,137932090,686920962,293842412,72795223,-1,518688358,54663629,-1,286458790,321990236,125164848,384242859,-1,959516749,-1,506298092,28344203,-1,-1,751262464,-1,709086398,430539145,-1,972628506,73925800,272463180,136558303,73891666,-1,54618761,757245421,259245950,272779671,-1,944742305,558027819,-1,70267353,179307045,337287591,-1,474905706,605476051,769508513,-1,232354320,-1,-1,139478749,512449536,-1,861448057,402381360,785983576,502567606,651110894,-1,436139393,810077691,792643095,61765448,170102392,-1,-1,394306807,293032227,617073219,79676040,-1,898704419,223694673,801147013,745425701,956614298,962106437,-1,685717524,90318744,195069392,6488102,-1,-1,381274856,623540579,-1,960485609,574787488,253903714,-1,391327429,778949163,877031857,667541239,921071078,-1,-1,355976047,570180104,991043368,205030755,-1,-1,204302791,659263527,-1,695231972,649203523,150256255,-1,-1,498146622,751969622,882419696,526681761,481111866,240717197,-1,72289920,527228620,992033079,526056726,286943335,801287717,-1,787646647,-1,936915084,-1,15172857,527117413,690445617,-1,926227946,408233904,677469843,525540949,-1,870779796,-1,453031910,218332637,-1,-1,259283253,382776781,8093514,328518973,867364245,-1,599182156,-1,382220456,838711997,182462978,116804512,652368957,311462495,-1,629509543,-1,-1,592162598,-1,616537894,757087196,-1,464329438,-1,268346350,-1,554141689,409164892,-1,-1,-1,638872728,272611095,-1,-1,40443096,88177565,-1,428774561,788564483,542365803,117234714,394531338,298520304,-1,255884601,-1,-1,973843581,292048736,-1,997135472,-1,-1,925984495,647709475,-1,-1,-1,833924800,328665974,782181020,244124128,479924850,399694211,-1,885939376,420454492,-1,97848367,402181331,788463062,434803396,-1,300559040,148422682,-1,607938760,472531846,520320904,-1,783427526,255737941,-1,234457873,809822931,-1,735226770,275156485,664110299,267395877,981089513,573687117,-1,910931443,-1,693056771,463472846,-1,-1,-1,46274435,564308281,758277180,58392135,-1,74194419,922238754,-1,-1,-1,175025802,994987195,367847665,230350633,608009493,-1,419922909,-1,199080124,-1,971566870,-1,126235987,463934807,889123871,462526403,499478092,-1,-1,475202898,502217199,510394782,776562475,374444899,42680668,670883392,290528773,450288909,370351647,751040984,-1,-1,797475813,996403893,-1,-1,255604375,513839458,550235614,506228656,636021469,-1,749129763,520167129,-1,710233859,594923679,67874975,904737521,501807064,954155898,725959659,-1,41220954,202515278,-1,991870571,682901020,273627415,399590970,128683135,182293461,511729733,194968464,156140521,-1,-1,201806180,-1,680567923,-1,973575520,-1,933873045,56048372,487122697,590432327,954551228,714320655,769571093,431703856,488816592,764416102,-1,630043703,876145301,494938028,13516961,-1,-1,944987782,560395360,-1,42309940,3026341,430356611,-1,-1,785486920,-1,418363135,929418159,413684281,637931351,921183162,-1,406115155,982061933,660364286,543423606,-1,-1,44840816,157965361,801250380,151322184,295549909,230013069,323061935,418427804,792807097,118759697,635692735,-1,164975188,314549514,999719636,-1,912695429,331125944,924544617,-1,180572944,-1,641468353,468148163,-1,695837822,-1,864580914,599714422,-1,-1,205923429,690419337,467203562,304620603,570386546,388431180,9753249,-1,-1,285600796,617873082,-1,-1,886525205,-1,-1,237570663,957702217,-1,615203494,523464726,464516472,553230607,-1,473123216,-1,219565010,875380440,-1,122636069,498966817,-1,607603230,-1,167314187,-1,114489695,625154837,983492378,951185067,334158165,-1,404833763,95694219,-1,373908906,194082217,42964577,-1,49589056,758853253,444751645,-1,264874113,-1,178979685,363508119,342573777,963978324,999247829,663211768,769356495,924458661,498376108,-1,639164321,262316050,266408795,-1,379957601,-1,205713993,5665103,438027788,604898975,960444688,859253207,-1,425486037,312471645,948574408,689667899,-1,720865234,195914055,475061244,-1,-1,-1,532905090,323544900,432120169,-1,912548828,631106626,463097775,979056937,146393669,680933012,150163401,-1,-1,-1,935538421,481601957,130411644,-1,747379366,381267869,440794765,284020353,3375245,550276229,265669755,-1,834762870,409073495,-1,791841807,232541258,70612856,-1,492742538,-1,979794154,69379738,946989864,-1,665114170,622068460,64013574,333978167,-1,449303074,262767877,807379129,236959072,985299145,279315595,-1,-1,716867051,820052475,-1,776767521,822133015,898506843,799509720,384877760,374298228,444141091,-1,776912275,-1,187848168,197548066,962962752,523503471,-1,744214000,547932895,184883098,-1,573461637,85760832,821130066,-1,60956601,349377502,259252986,780431281,8316317,880639113,441081927,982917044,-1,-1,191586184,-1,48747634,890688603,212582082,573679662,319720662,555810823,740072146,953242368,856744926,-1,554622015,607017015,534291140,861223222,484060453,-1,401095404,254527059,745542053,440940626,593338094,462199296,565966298,298938268,9385551,785426320,-1,612914989,971337947,-1,566226798,297703299,-1,-1,183769290,734900724,137442093,-1,790675840,713664140,-1,-1,59617448,538348453,379945345,615231072,-1,850803837,535013404,-1,-1,661240529,424730460,477524431,83557910,-1,862761316,-1,41897112,62466087,521325581,955990468,38281462,540870142,-1,937548364,890654598,885030841,893948903,718245698,-1,-1,167374718,932514807,-1,-1,245600649,-1,-1,215215273,607572226,314753527,180637210,579008599,380753270,-1,747427858,-1,622391120,935494638,359251140,688235663,986571505,831319292,726210799,-1,502094887,66161829,139399548,-1,722096138,-1,98367953,-1,495120986,-1,895368711,827271652,120581835,302665191,-1,124466025,803028870,768100569,560866748,886109982,-1,665685753,152115854,503547499,185316551,200588037,983534099,-1,808641788,313068197,555087408,731527464,162125784,489376710,207895796,806550885,840913288,101865198,-1,640371086,866273584,-1,262148307,-1,232619302,742725871,-1,888134945,637450941,121450798,-1,-1,129763656,600536120,140567267,-1,370721316,890817471,771429524,690909820,159774866,895357229,64757654,667764033,-1,979762865,794901051,704039731,283628897,-1,-1,-1,442537964,-1,356186460,-1,527582218,-1,-1,-1,329872737,-1,-1,221223916,596904086,1652482,887202382,584857001,-1,906337344,730350414,782234506,820821984,-1,-1,-1,642330907,-1,43246070,-1,392280514,820499086,124660329,212430208,615451066,670551627,333277680,709747591,-1,214714441,-1,163447872,701205482,-1,885413481,373822064,282517331,761119233,175732981,-1,-1,195808606,759467152,941695420,-1,148659716,394655464,-1,421779631,745490215,801102659,76610604,457503093,-1,-1,259296232,5748773,949971873,890592783,-1,-1,785494783,386697992,536944154,817958164,9800511,50738097,164049364,670762301,345048463,408044655,30087049,718813951,683103060,982080550,-1,-1,280089806,235264468,766307875,287216881,650887092,824035716,448322706,-1,279268355,95342163,840025098,594789585,-1,870098652,180852724,747880745,654300559,-1,243185584,-1,728643845,-1,-1,64720582,381491611,610107313,-1,-1,457245354,-1,-1,-1,-1,498337397,486579755,468527644,-1,28582277,20172246,-1,125536932,-1,444291936,-1,-1,784785545,943445034,424148456,494916017,-1,-1,-1,438544864,122642139,917403763,434690671,201125763,-1,344325745,520881421,492449282,867047351,677993271,102277540,-1,948900439,28616635,-1,335983254,927394352,-1,440237315,-1,663197692,706806609,406807371,761655054,-1,-1,574839494,-1,334809138,-1,901141339,717252258,-1,504114176,-1,878938628,477721191,549113277,623452655,167041512,999874220,363613326,787808567,122200642,850651990,-1,85222593,-1,886640093,-1,653716834,416406533,973030680,158389358,833310725,154655232,278265199,-1,508784600,320107044,423509696,458898555,52418830,188179956,-1,586178522,419699186,-1,-1,8180139,93741485,-1,-1,896614861,77678740,-1,728414248,-1,-1,-1,-1,670148896,351689971,-1,56584233,902803074,338434994,210546970,15041627,507374556,718093822,-1,-1,-1,735201523,117268240,272577157,863195346,425462535,9824072,421727365,374743260,258627753,92651841,-1,466721561,987621563,399344472,22761549,586492607,948500649,-1,555163671,456550576,66204336,188318851,373579134,-1,-1,-1,-1,626568937,608374787,-1,678412727,102424695,884765850,-1,529847265,700512585,676077926,786812645,411136846,57442331,-1,820846080,690441121,362857594,549640979,948807375,520390277,-1,-1,924272039,731770260,-1,331236634,-1,989167711,191255226,907230490,287009852,303722517,463362183,851571877,566013122,22384208,410185312,30115079,414105010,496057516,997080827,-1,932748325,881106063,548986092,304065841,939545734,212781758,49873770,-1,473471228,-1,-1,-1,877529475,176962209,-1,988164862,292165029,688872513,6673313,-1,846341086,-1,429240054,727040216,89743838,647838575,367912786,387609575,822695179,996584411,-1,856000261,-1,-1,548189658,174344979,228391704,437660341,663398258,874964588,-1,187118626,228747682,680795719,448898126,683911392,917797594,516565294,350474924,800424579,653804175,96697379,-1,555988482,735265924,705511279,-1,37965324,568149391,-1,-1,267784838,470568014,903797482,752095001,-1,-1,409610375,637525514,-1,593680803,434139685,-1,-1,176484576,3045850,929130454,697378615,153329558,13517479,-1,-1,-1,-1,-1,13483208,45480655,401865945,220414913,974622023,728965115,-1,915196669,-1,-1,591749386,906900431,-1,52738949,98595377,-1,892043202,-1,-1,690175681,-1,-1,118428464,-1,-1,359529094,531091986,335334796,-1,237118106,101252549,513560283,836491342,993665310,504418798,279771208,545536335,-1,844658128,47594639,286859706,90662751,-1,964579132,407266788,122064353,-1,878048699,160488806,787196898,281595894,953833408,456405991,-1,-1,781681779,281102291,-1,-1,512373734,826344922,374850609,-1,494443850,715714038,948068100,235766028,-1,708236085,-1,126182442,325990491,550864473,652160962,824052236,572605273,796146149,410643663,731861776,649534584,405243855,-1,998494264,708846857,452293089,398715326,-1,607083324,450151623,-1,921420152,307618206,-1,-1,247619836,125309425,627521873,268329833,834915945,992784727,251363024,785474345,413158247,147503378,823214624,564001926,130979384,976341757,472065065,616561921,781062652,269512575,912450842,676483129,274391970,756618332,582741300,777727293,191689361,-1,467956468,-1,-1,119245096,66607434,618026945,393062350,465266026,-1,703810878,553359290,810752255,19992199,-1,742298406,-1,692944751,943188488,-1,-1,25890744,485642230,403342694,24970266,-1,-1,464940080,-1,464706414,-1,-1,128160911,819315652,-1,968705708,308682043,48638009,-1,-1,239288331,8788730,156228655,278799262,572571083,-1,669701190,746536354,-1,-1,833382156,489062078,689070039,369928947,162174187,790301487,-1,-1,71700791,405391220,594546813,-1,-1,-1,155223712,517281159,-1,797072805,-1,456855294,672493534,332303739,209400458,774863488,-1,679604391,402858522,413290209,-1,-1,208379255,143449393,193173720,-1,866307319,724293637,-1,349811694,51384538,532457160,986785274,871897714,-1,-1,-1,-1,834496991,-1,610681640,352590235,92234569,654312001,43085127,-1,428524254,209689558,742266047,167454156,640742465,791149732,-1,931542936,232210420,-1,887146209,189045221,-1,767652074,-1,664608748,97486494,552770360,679026270,66359425,425234538,384221402,668998025,819054343,552747936,561991464,-1,-1,896790309,-1,-1,764425331,17984404,293036102,620619939,-1,245050686,205323685,307239088,872374283,134206225,95523999,599814991,907166350,37453777,-1,-1,-1,438704580,313203241,906156644,-1,331684790,-1,87955728,860238984,780757434,-1,-1,367660312,375606997,841744011,642723208,-1,730107472,-1,184657132,954789489,-1,204934465,864023563,146488897,-1,680704400,573694495,612641681,-1,-1,-1,466198678,-1,972919912,209800123,359744758,330736301,508845653,658452141,307149911,-1,147592171,774019333,-1,-1,73391026,362207887,-1,71715065,423494784,-1,432011975,246554629,-1,454019789,170966047,-1,491013611,776500058,455002497,515234739,666076709,541527740,250035513,471637541,-1,295067829,987215759,601600297,346770683,104335493,-1,-1,732253306,168308930,887464737,439294466,955480659,997021246,16531311,15628782,211466444,-1,22027973,328444037,689895355,12332570,349896686,-1,99000862,970434022,-1,640906382,-1,-1,-1,245895542,-1,717759701,827231355,-1,-1,-1,-1,79857172,157071396,680204656,775729980,188741879,276625881,607890858,464131490,-1,-1,737319057,-1,524502270,750116576,-1,257318414,-1,562411410,419299861,-1,509393919,162838796,-1,31158726,-1,-1,862840583,641166888,-1,690087388,825379856,870924737,531921603,664950629,949229668,-1,395720188,720768930,-1,760918955,-1,576116452,69336165,-1,839040343,-1,-1,-1,85879857,-1,982243642,883159049,658080024,80956544,-1,450425460,-1,-1,708214856,-1,97923090,521465179,-1,-1,-1,239857205,816741900,170363288,538936790,614803474,993702669,340665827,211535784,595417890,-1,-1,853569199,27633700,592981188,-1,871187805,641537931,808449535,914244828,280690440,-1,325429065,885068718,687359255,-1,-1,-1,-1,440027765,-1,954736931,-1,605463582,72535639,451715562,267300081,-1,899926456,522337337,931105534,408422070,288121702,635602644,386723548,787804132,675718200,-1,312747260,489872863,19329725,269781774,138554011,162555592,-1,-1,52583370,765993958,374283337,26067800,87775109,211614798,-1,-1,7877208,771260046,-1,218331656,458310306,335677337,440949531,270925257,269123870,-1,-1,1451025,444322945,788401671,665055816,-1,-1,-1,-1,-1,787734628,-1,-1,560078384,422377275,700676847,866078461,293327931,30714972,-1,399863202,-1,197345295,962221122,649171918,833502930,904934429,-1,852169045,986740668,929330317,560254742,836091036,451251833,678082271,-1,590201742,352951223,631663235,633324963,984729718,-1,576585046,-1,704675608,752187811,401662503,-1,746739963,634753893,-1,429007098,689035707,218839554,-1,757449279,356325395,-1,750836348,83071644,779937830,718590934,-1,384738427,-1,717861956,-1,59154683,913342439,659172171,-1,181333436,-1,-1,865922102,827279124,-1,474646138,781532796,-1,330738309,-1,529463130,149890542,106754927,-1,237403593,-1,-1,494741957,-1,347422359,124747090,957075670,935036234,-1,445847524,646631099,-1,933320945,919219447,314796316,-1,-1,296595597,338056620,773515332,138429177,719315430,482624596,744313962,523424315,538913080,473391684,968540378,571345367,672297099,107297851,458121540,-1,181576769,-1,510066033,333433309,794911264,67450319,70119186,-1,-1,-1,681816831,202397652,918413102,166144641,127096545,160095972,415381198,-1,555683269,911875885,571371590,12292786,808454941,-1,-1,900649581,-1,814546433,423040122,933008630,941806647,-1,161346864,453674242,-1,783184487,487925342,-1,-1,-1,171950960,316959102,31120473,65352673,379693602,956809993,-1,-1,377838258,-1,562639780,882985684,-1,-1,145540147,-1,-1,917972452,792221576,751906565,304691236,799653564,317774641,705958760,888114348,766946084,-1,556508634,294038053,629975645,87309974,647501178,843092312,-1,43863648,532972183,46455015,478931211,473503352,780705437,629147618,920577719,-1,187744495,502895071,902739658,717966539,-1,-1,-1,-1,871459278,207323112,180962979,673935162,-1,-1,-1,170989774,852574141,334219926,6459636,668882382,95930918,209067663,-1,175420310,-1,854712868,397917505,-1,296579142,509747324,749609871,707085649,307396254,97960946,-1,961439727,919382829,290113987,16462030,343470469,-1,771108225,842242666,461911134,442333145,-1,390851031,898001052,-1,561837170,278897237,-1,640352766,312284284,652579449,299784995,424167017,849811137,-1,990468109,608391832,425370258,323287157,671976578,-1,30358031,-1,591278745,80771312,-1,959113011,322733563,-1,-1,-1,89737611,145973213,-1,993670634,-1,251524111,806339759,649718719,160684194,-1,620188304,570882133,565604453,-1,-1,-1,523846113,38028945,845800054,-1,182412730,566124444,-1,-1,840399473,-1,979582225,98491971,632172955,11317941,-1,574578392,103665080,-1,-1,-1,-1,496635382,978518572,760470711,-1,218038680,117591258,-1,107009575,215064367,-1,284341254,-1,324144936,76356667,170587235,-1,837775800,234032911,197165049,815796560,-1,580585283,163550167,193206017,862505168,584184870,426152095,504203352,129076070,445191362,-1,578153911,829708366,627125576,-1,306874959,130809769,-1,-1,-1,462082004,748509104,8334000,515685933,-1,222863645,-1,65438823,269486321,112771171,938000862,312853036,919770447,359572649,-1,63639439,-1,920597078,420990462,-1,823659989,-1,-1,-1,237317615,272719826,913717672,537806309,368518715,431399444,558600604,165112640,-1,28196295,-1,777562358,-1,140161038,-1,-1,706669790,288007286,622914667,208904928,542061953,720437916,54129039,84400590,-1,389684181,-1,643458038,67328171,23641986,111372902,423716001,292240475,-1,335906625,933880045,333386090,-1,-1,441897308,844092941,40846350,-1,543703054,-1,-1,-1,569737085,-1,878083239,325475212,137681214,-1,296033695,132703853,793932944,629501172,40934937,-1,923975625,-1,-1,912303204,284186260,-1,265381978,-1,-1,-1,40197851,579670616,-1,-1,380373694,924503298,-1,670387597,578755518,878527619,-1,-1,-1,948819569,-1,340383231,-1,514682240,813567742,626453201,161110544,681137545,-1,698826658,-1,866453513,430602336,274927230,792384183,466090291,542242841,73327312,-1,-1,982502368,-1,827276799,-1,66318197,933145438,150983371,-1,779680488,111723587,-1,221970214,-1,446843575,133447610,213693331,324140300,-1,100696202,886375075,845987389,784120641,-1,678117232,-1,411892507,901447063,230828455,-1,-1,464740688,767378198,802903507,456045291,413100800,768191819,892078076,230756928,201361245,-1,890330965,549493834,479577222,-1,-1,647807934,-1,-1,-1,615339538,-1,-1,598577278,395541772,843309777,-1,994392699,116388702,-1,354637678,-1,548610221,-1,62304883,622771195,405939586,-1,150328980,424608933,322315008,936748636,592361618,-1,-1,22933916,-1,-1,-1,43697924,-1,453776259,93076898,663032999,177223302,894877527,-1,-1,146383920,416550386,-1,-1,-1,132539216,990689563,946694072,-1,-1,437193362,72374686,-1,-1,923251451,22659898,193726995,555710734,390268073,-1,102745012,302853178,-1,164451589,731697995,589878028,4996356,-1,-1,434255361,659215071,-1,439174622,296168410,-1,608820199,884497443,548076848,817038643,503595039,539758854,-1,692238282,536469870,-1,-1,867325230,21507645,201664230,-1,72064806,139778432,37300996,391922225,-1,532021756,152676873,196735550,-1,-1,764238411,17552008,67705719,399372956,-1,-1,546766223,257881703,358409241,729478921,258825633,-1,560105162,71558607,-1,625648292,115657998,974890249,495121298,-1,333580177,49173138,494109205,-1,940014146,223708162,159211167,672367820,-1,-1,184526147,852655768,929268148,-1,878201366,-1,39590425,694614402,508110888,829221415,47354532,-1,-1,599355622,-1,-1,-1,758737550,290167557,134368878,599039011,554765282,932528987,-1,490966351,-1,-1,534362912,197366521,-1,-1,-1,328702822,352185607,-1,-1,-1,556630781,535518,268109277,-1,501353565,569447944,330735473,551882798,575069292,-1,-1,-1,-1,776644976,29415532,812467163,-1,-1,206375024,364634950,536330008,-1,-1,65496295,515416143,164004425,824353533,763001393,866891089,295714817,-1,-1,838721940,-1,-1,397036906,115967379,403216512,825565740,-1,832099115,940183379,623468989,276858456,800822403,-1,746399359,224159468,731743001,144072425,989123459,364638521,934162930,707874291,-1,147320783,795205576,40028537,3908903,122664582,499435173,-1,557972311,966256275,71973646,917773501,75714466,519383114,-1,-1,325943005,848125087,998125352,703310761,744807993,922977243,466625653,565085963,526240002,428858347,407045041,-1,474058167,-1,878376192,-1,-1,314442835,149788706,437462840,973665875,667373219,640529956,-1,568861432,-1,693489153,263458815,792415304,-1,708229082,482089365,728649816,-1,963694798,851768505,884280874,-1,298613524,205225170,138479940,988071065,838851816,-1,509046836,511379086,-1,52505366,729128084,67284468,-1,784163824,-1,-1,-1,552267048,902224235,667831850,663288730,947363861,579012064,692130532,-1,113524919,279204496,211468333,-1,-1,495815613,-1,-1,120717161,-1,19041240,-1,275871303,419158047,-1,151622407,-1,462836008,8496013,615355420,976047812,-1,686834736,-1,376485085,-1,-1,-1,-1,508577046,473335647,518746289,953390205,707923278,-1,380879151,279933103,268692448,801019576,895834801,-1,-1,876213894,-1,392925542,705459914,-1,414724786,-1,124653841,790408175,-1,653231904,247320742,9825038,105425411,957715682,864527915,-1,784441819,976396782,373602664,384691498,-1,-1,427696792,-1,-1,932929002,689424669,301161678,438239336,793253567,-1,332943135,808813036,-1,-1,502121080,650972908,37253017,819277395,305663653,460213416,-1,-1,622765303,-1,563015676,-1,-1,431279533,858169768,795440998,572618638,605584959,-1,985913627,534718561,298640449,44160625,-1,-1,819090566,646035514,-1,386503116,177613143,732335672,833347653,761881692,-1,856378358,461748154,233780993,721827229,975086700,-1,414300349,537032252,567246595,-1,-1,388208153,-1,-1,148425238,-1,424244568,357219944,261081766,73661206,876146614,-1,836440390,479298990,948290559,152533369,653633362,730213755,196356914,922134843,709552969,953205750,990389069,912708571,30264778,523617192,-1,379500680,-1,709235280,769871265,47936399,-1,658682913,105301174,-1,-1,712164620,65958360,-1,-1,-1,592472088,903544610,858140589,-1,397260644,-1,205587344,844643606,80970413,90099745,976760408,-1,531732783,846514869,642639135,983984064,-1,439305315,-1,114339426,561784971,281715724,-1,563510965,65031176,846222093,740437606,110377069,-1,186416452,790164382,-1,548624390,139977295,123538303,185461428,964831822,845315171,327894267,409789292,157546760,942715295,638789635,362421231,922161452,477283221,-1,649666720,141015174,825669131,476606385,279233823,266768362,-1,669450257,58262791,151676731,417752378,-1,-1,284122401,921562166,878694948,655240255,21990105,-1,512056757,995995387,-1,618375937,545872583,423563571,964636109,120392252,-1,-1,-1,-1,-1,343340412,727633428,250591083,-1,222058328,-1,623087139,910614476,-1,832801778,488271078,26725713,91668640,248527479,-1,572397449,289703495,-1,28409264,606044,-1,950782509,148280522,-1,-1,623311684,191415051,109809526,-1,-1,131986131,588317478,168939650,-1,174016176,848554540,315443697,374103335,687133566,462174786,132120708,-1,344279128,-1,792451342,850486562,266460743,183087113,442689140,487725466,-1,891384403,841111778,-1,407208247,583717440,504874076,640101512,910441938,-1,-1,-1,23708593,-1,773009715,61716703,534161255,493722073,546778833,-1,950605493,-1,743762886,282843632,-1,159090989,-1,218789068,277123687,526677292,699350192,197867151,358899473,-1,933592212,-1,581451722,421441058,-1,533213961,68298096,171996014,-1,-1,688124499,896582579,497028329,-1,-1,26153994,340019648,879719897,901342542,21656599,130165742,-1,646389361,499534378,459396603,-1,-1,687929814,393115024,266211968,85096780,252411424,370734705,224134417,-1,573239025,55605935,154831524,187362199,266992358,972718299,-1,974368856,-1,-1,605454356,52895894,608126807,215252022,798235173,-1,497997795,159803416,240690088,275678972,902432150,507591381,-1,153517708,530759723,148788484,-1,514201368,731123903,-1,-1,706156094,485663108,695269758,9437243,470394173,909036250,206952231,278267417,454099894,250741327,-1,132909547,-1,327326590,430123565,402593572,761812826,-1,890273202,507394347,597375665,612735814,-1,24844883,-1,82220750,62360245,-1,204539502,373369246,-1,71296786,-1,-1,-1,-1,-1,-1,27551561,-1,775704631,108448376,323710612,616161058,-1,-1,-1,888274545,463382546,-1,143083659,-1,-1,900448049,-1,588988555,406558628,254697826,3966067,-1,37524575,-1,86366623,488152590,291362583,-1,-1,791027696,-1,702026752,74384404,-1,803639490,-1,829242845,463882377,-1,192568699,548996862,758358265,456223001,-1,850061645,208774516,71896213,506965346,-1,-1,-1,823833084,205657748,542692434,293347815,-1,154048506,-1,124276855,561437209,-1,343308622,114578202,909006072,832991978,-1,514717890,678689314,-1,265559138,83041616,577639983,-1,474272493,514883734,-1,590952514,-1,537857624,612910843,471124090,346021826,636563809,-1,-1,-1,173323381,-1,586831207,960644247,662359909,77565315,477498350,571139313,401290495,118079855,705468114,679482240,-1,917577584,728151525,442671483,10616744,763434442,-1,-1,233810114,807221920,497588485,127850822,839287682,286271455,598168072,973726701,-1,310443392,287655414,50626283,738115521,851730399,-1,784819644,881960588,-1,-1,-1,-1,-1,671002218,846152907,-1,382813982,-1,474777670,105818880,893088926,581355690,550371035,-1,364480082,514417047,47752083,431441743,362282338,654897465,335313432,596876847,245646063,-1,-1,250521464,319691333,-1,991257305,992761951,612819405,367293852,-1,-1,500393025,-1,-1,202126276,940318373,-1,-1,917830865,402374365,11062450,-1,735973655,-1,915393608,110785064,156134198,-1,435365066,33039822,779653354,641808649,993150674,873354793,128317368,49045175,238715494,-1,552776417,974708379,796083648,477542881,410382242,537631051,149581605,376671796,124939886,-1,-1,-1,227696162,591522238,-1,199115502,-1,457891524,488578097,254401258,81326111,225480423,-1,970169538,-1,949435670,-1,-1,350066159,-1,306599558,-1,934206056,-1,-1,544976971,942798957,-1,-1,331981704,-1,872559940,680947263,19698992,-1,-1,492764845,710804278,260449373,45903332,534313457,497227590,275084013,67848604,611045661,14826397,571925435,-1,914113383,668677560,-1,949255099,371285070,659931449,387806676,-1,529954262,-1,559189723,21176218,548587951,365484951,757492764,320160950,-1,-1,32409442,-1,284232810,-1,455844766,989199673,1597030,76300227,878992407,-1,507956754,125764647,547575119,278108259,829824310,-1,-1,436888965,456044270,-1,449863286,-1,-1,-1,38823847,571104979,-1,979170774,-1,215892688,-1,718324990,114192026,-1,-1,955062062,423588031,568160445,369815673,29112867,-1,441297653,836253594,737914001,572606261,-1,471557176,690050404,-1,607979920,-1,567400490,863022308,895488436,953723125,-1,-1,19406457,-1,976264179,-1,783532445,-1,478774542,122068185,-1,773540530,61791949,-1,-1,781493207,-1,-1,625596507,984058837,786661577,-1,194592,414831207,-1,538157834,291705258,-1,-1,308369392,524577783,499080507,960563086,551592318,99295985,422321043,706336081,966487318,552414573,37182722,11238568,923688749,-1,521813594,-1,-1,554384816,274983658,259741230,129625038,596013365,626150021,-1,671002747,942287552,864947315,586942192,617539088,683750808,863946230,203383461,997958343,418893610,983568933,-1,-1,815688676,-1,-1,329925453,-1,779372331,34815535,690948742,496510977,-1,-1,131379170,154409262,130317114,-1,-1,-1,79541903,-1,849363000,746542829,356518342,310442883,250899781,894477975,-1,706307963,612613924,224373076,276697941,247119915,649341940,-1,870691522,933094384,660984872,122395529,-1,122732945,502143968,789992464,551733595,-1,586132722,-1,-1,898484344,-1,953996649,987330086,-1,-1,425139682,361263116,958178219,96860961,-1,-1,728595037,748307950,-1,156437491,652727617,-1,-1,760277992,-1,-1,977298108,-1,420739301,596515877,233518993,965598660,965914904,660183704,938005144,770273071,-1,643833750,66409506,570775642,813352304,-1,-1,134548591,-1,-1,413224307,871000430,901786920,-1,264716092,975924903,-1,-1,71965511,-1,45166505,728334864,-1,548981973,583601966,-1,-1,571373084,103267396,244993889,-1,378194100,364110267,701181696,-1,-1,994458568,812180561,-1,777091636,79725947,972589970,-1,570460372,-1,948211756,133952187,-1,677370020,884297393,-1,-1,38490508,585611678,925283164,410032130,284869020,828064491,-1,-1,-1,-1,-1,853298771,539754494,-1,53545304,232407448,987392025,305316643,335248254,74417074,-1,-1,-1,-1,291335652,542338734,327727971,-1,-1,980267451,562473752,112734207,983570959,748780738,786893686,859193263,-1,-1,324571881,431834849,119486784,738427702,718827314,584952431,-1,-1,423820738,-1,-1,-1,695649365,-1,754028483,36529500,-1,605592344,536492869,479010224,-1,730984328,705535904,348808817,-1,655796373,120914411,496704456,557823298,-1,-1,436145979,888297822,535522194,102049970,28228606,619496679,474077788,893372546,-1,612244782,-1,-1,965732657,-1,-1,217097242,947520814,471124946,-1,864639904,575981980,-1,724704010,896369195,496023,760783676,782954860,-1,555603731,-1,874238119,268180050,-1,96708610,393074843,36117939,623896178,873517831,800138655,288661508,993449544,479564235,744842333,782833617,808289410,395268328,567703307,78436991,670464332,191728962,-1,106552624,434960124,114879220,80660508,154367938,155202814,-1,433977913,-1,754993213,639430871,194330668,-1,292507392,138527060,398406197,-1,-1,-1,-1,890560705,207546127,815552403,955550984,113837755,-1,562449263,209943710,145004727,228136807,154825970,-1,-1,225142559,552153147,676130610,-1,70354299,338390943,389452585,-1,270044487,-1,558131975,339873558,-1,17404619,894444195,-1,-1,-1,-1,-1,620137009,-1,120358188,184468581,86717070,192273318,755376890,952189256,172147395,558657408,241585894,968103363,662882741,55026610,938223943,-1,491717202,-1,39408762,-1,160485999,91050039,-1,65432377,901518415,291679355,266896980,583643318,870332614,843879711,418651287,-1,-1,758187114,7844192,933401742,873555204,228778207,-1,969912263,581238572,315920606,-1,896749116,-1,907426959,382354584,968697825,-1,390081316,-1,285009321,649011922,462827259,772480773,298249175,322656568,647505122,-1,89734885,277631731,728301502,-1,-1,-1,-1,627217699,525475134,780556248,-1,-1,130808582,153775054,-1,-1,-1,785562491,-1,270183368,355344523,-1,40233018,207886370,-1,761598640,-1,736058520,955829448,-1,-1,732794429,-1,934517835,509586581,689852783,-1,801062673,-1,-1,-1,444008819,-1,416530525,720324252,-1,258880944,821675617,551773778,688537313,723822345,601069651,802597641,-1,948954945,-1,6791251,380276831,502027028,532382112,659414882,977254338,839619420,-1,263858677,-1,-1,282503052,456481776,-1,784256513,369264719,-1,-1,666104655,170678394,248553879,770519454,-1,-1,675280358,-1,893360994,884358372,683269605,341745204,613714957,472490252,613590109,281425713,-1,390712608,654014847,311699872,95732708,430054585,-1,-1,152584396,985765686,-1,419589077,523901246,189205538,412185487,43133660,563275495,-1,321881393,842194272,-1,810295944,-1,-1,-1,446683797,743390351,64791252,-1,-1,89112833,279258036,917775561,759822550,590174521,139747850,62556212,-1,448982875,-1,786724490,540939814,-1,73301353,213649416,577149136,233953674,618760232,-1,556121218,210595237,845839902,-1,818955509,572278715,836634876,506676765,607420869,201764280,748593120,897794204,76492258,804164745,855404581,-1,569278917,409840354,-1,232995477,-1,613492159,-1,114061317,356825287,-1,449514451,1024708,61825330,-1,806640542,217275344,368020060,398393933,812151719,959538449,-1,419532802,972444920,766082759,-1,873813180,-1,419917461,-1,907178357,-1,26617456,669331440,750563152,-1,579120449,195655907,870083248,40927902,214213978,-1,424123328,-1,-1,11325555,539108068,974591984,881897227,440727104,340768902,-1,-1,565530050,789305445,967509347,834649127,-1,884306115,302157053,-1,930375287,-1,-1,867975751,225214580,652646874,28396655,643727742,961718963,191533285,644151854,504254946,389196046,-1,-1,629812912,869557423,-1,-1,-1,391239928,570157647,378585644,947846927,-1,-1,48145670,45428233,-1,-1,635059715,-1,361856282,738002085,496903286,-1,615608832,834744958,-1,440699584,-1,-1,-1,226972805,194087046,-1,-1,291622464,528022443,435099377,677654810,-1,855329644,581118471,174040108,57090069,796517303,-1,240348425,273303193,-1,-1,-1,832841401,-1,-1,-1,636285307,624957322,293567935,-1,291688613,921311171,780858168,-1,30952907,-1,41939308,737002807,673408307,-1,628514459,-1,640745038,96589226,784270174,640178108,771952446,366593138,749438265,-1,922106492,3876541,84545721,743389819,469340070,186391032,12180274,101573248,392126319,993395325,878493265,413954530,329257691,241157674,146014010,-1,247665765,337695901,748326222,421182976,163782711,-1,239524467,-1,657099544,-1,-1,-1,717403490,-1,187582371,-1,839870741,-1,-1,919429045,800205368,48109273,-1,171851369,244896517,954600658,-1,854582486,-1,271131416,-1,702536051,-1,937469198,795007937,333852784,-1,600349024,-1,560118692,231440098,228471877,-1,21908507,560861355,504038944,694031979,-1,-1,68684443,942167850,728496756,595158469,-1,-1,321712973,956932389,886131728,-1,511538752,615494506,931755278,-1,546883536,-1,301211009,596601895,634246297,129222263,-1,-1,891793390,-1,661402230,733649222,137569929,726934924,850521883,-1,-1,467880279,807461048,907005341,-1,918722367,-1,165177331,432767911,76767854,-1,-1,-1,29764335,703769610,939456497,-1,833088555,761611681,678408337,603351979,899268127,-1,-1,323264461,-1,856381397,640149225,441158771,-1,675639407,-1,538389626,522329991,-1,269363138,-1,796827463,921945976,-1,621643910,-1,13740346,80404968,992625124,-1,964289804,922603235,635951550,343343393,70219628,872131411,745900621,620098437,866996725,-1,-1,55162796,-1,-1,633366493,-1,-1,460124597,95036048,-1,-1,-1,157853698,-1,261185268,447256477,487198246,735097608,391173953,997149246,732058528,359398188,236948880,960620524,864218773,255042473,440337541,-1,-1,-1,513813147,156741849,578890601,248815041,-1,827548272,-1,584146075,730077291,-1,274552951,925723196,521933644,168714399,298451626,-1,237491477,-1,847247583,601579649,681296618,450857441,117739410,-1,102807869,-1,489974046,995951862,896812225,371588442,684065150,725741397,-1,221187717,458871463,811916496,21954586,-1,745220999,-1,279490095,700589876,956108179,40985001,337323959,124396998,-1,202311817,1774064,447521580,-1,693826107,-1,312486,28586608,-1,199651969,10866820,-1,160365434,787656513,339986571,117560079,659824840,-1,305542257,625805569,172125498,392999996,-1,403217834,-1,952019901,590480592,-1,513246817,23434608,389862768,190525613,865272708,-1,-1,183772811,60563507,218738714,-1,608299554,-1,-1,196495829,188746599,-1,-1,147988081,-1,-1,835403351,263862139,-1,-1,-1,295236899,162119215,309952991,576947152,883842777,292787906,146834603,99485434,81699217,68473622,388542261,819681366,-1,940186433,727574823,-1,458355172,-1,-1,660478559,802344802,-1,998886392,790640265,821099141,454394151,-1,-1,607027721,977151718,484927791,357019726,824184374,816930400,273137047,44681475,-1,612651308,505064488,750357253,502094198,-1,769560329,350011891,-1,383072268,957739897,-1,605095274,78787842,28987135,104133333,141189271,352185730,451466056,788277820,75108439,717369416,279346714,438640731,480147960,433213760,-1,793250749,-1,514284521,-1,904938656,986609870,941317126,491031472,527737757,522847419,42898615,-1,706079956,921613185,843457735,396008123,410726666,-1,855721846,-1,309225494,-1,607086031,-1,518726441,-1,258064956,281243894,335856671,727997562,-1,812436660,985991350,158755693,421585066,-1,317635847,657211881,556034252,29339195,42222883,-1,789411862,573154832,652152753,-1,-1,-1,349249956,-1,20664718,665821327,119561532,906668729,763460330,446895900,70131248,238012749,124570484,161063561,-1,723020447,434201087,-1,-1,978519279,689134165,786747234,-1,-1,-1,121252967,-1,-1,79447792,30713953,165578485,736706771,707073190,684941470,398728320,-1,31681487,-1,-1,-1,-1,-1,-1,982672150,49014504,745822539,259842036,439139409,-1,68379073,700991171,210023369,835559983,425930323,258214603,-1,477243720,110557182,781163098,694584074,995164870,635271684,111425676,298559070,808206068,519002975,75312577,-1,925463549,420781736,-1,220086815,-1,-1,386956124,639034599,124096233,-1,-1,567040867,894256053,-1,521120776,-1,89027998,406453535,-1,820174270,866858077,-1,425114151,-1,-1,868827617,-1,20138008,-1,113962055,339843377,-1,-1,-1,1645598,102973020,-1,-1,98398659,-1,95937407,990764730,750524330,553277573,8572919,-1,-1,871575235,984086663,-1,-1,221140326,183461668,47925222,-1,247767356,-1,888862729,876860680,534422021,808067819,245230167,249553287,791010942,446440018,979373145,840177889,611405228,-1,-1,890517863,-1,412624835,-1,240533176,433521397,314178537,728826836,256729959,993035518,-1,-1,805821482,8497740,-1,-1,448975409,685026599,920284290,357443529,-1,914615112,459965550,871612968,493944804,377584069,156378146,950015691,-1,652350919,93321546,779488024,480260638,-1,927899659,56365622,-1,-1,-1,743648754,-1,906527097,-1,605731467,-1,-1,948948119,397620124,94599122,822367286,196038072,-1,153215744,796367539,-1,282494152,455984941,186033216,24628727,678678579,63816107,806671527,-1,831148722,906790406,-1,475365557,-1,717040797,544223488,458756977,-1,145786986,68043232,-1,475198182,207570540,226980560,69121646,136586259,535798151,248645206,-1,-1,474958792,545143351,820376844,239927799,856672681,936835091,897547174,624232587,-1,-1,825573341,582073056,-1,1672949,-1,67561706,563746005,705074412,-1,93428907,453724318,605672535,146137665,806865632,929300838,-1,408049964,-1,60316114,-1,511515618,767343197,-1,245634423,-1,535398628,868986751,571339545,477858590,733972979,730275292,619903500,-1,848643989,123598250,666038553,206250495,-1,809017945,824377915,608233466,871867777,689612678,269766626,-1,-1,659886500,914377838,706075556,724059974,53190485,286957455,460115496,752275395,477705405,125237448,373449501,944826687,787949844,-1,-1,533344513,892471714,-1,222575886,397051477,-1,-1,834354763,-1,643150479,405482310,922071162,-1,-1,503168155,-1,99333590,972191134,-1,-1,672295293,-1,191048161,510347148,-1,928452191,-1,93027556,500614753,919671445,98959936,494303841,711437442,994075279,-1,175550450,-1,693118591,759243529,-1,814454049,901524387,509430183,177781064,463850610,-1,785724057,890108364,787517582,653425366,104097705,731789933,520935440,-1,164747862,650586909,-1,74517166,748299285,-1,-1,422884928,91853698,974975209,-1,825001638,62672314,703471597,895116754,202269626,-1,-1,-1,670489109,979007271,-1,239303707,-1,-1,797248201,210595146,213221315,185079949,287579665,194521341,-1,318327508,703078418,316331109,-1,-1,-1,980660211,-1,978018138,351756034,369932288,778573445,992582260,693255266,47080062,794201226,459339528,493688510,700290982,806580205,-1,-1,549616496,662384915,-1,-1,140078660,-1,849720221,193303102,860399187,726158937,-1,96117503,308182671,414008808,918822107,752256474,711800752,608882141,677442440,-1,594262476,-1,86564001,584392206,151571249,832750424,-1,325712237,-1,-1,290054931,424460908,795552426,680676375,759884100,-1,-1,-1,525519056,-1,235285157,62281974,557120892,138596742,930548802,301074102,542885043,251095434,-1,188755033,750740366,249050467,641052012,446171202,204937280,825645650,714552359,-1,-1,719234205,-1,166473107,-1,958647590,63390024,715299940,-1,107548051,508968423,267444975,697638567,1869438,-1,-1,26185459,415912891,343451405,220012743,163339057,81195691,972116264,-1,748063394,674692402,-1,-1,146548445,655636685,131849497,689481654,-1,244241921,-1,-1,459019693,539990417,-1,934060383,523809802,662756961,-1,-1,744106781,-1,444997868,292116487,359494016,205097927,-1,334091786,288456792,916947004,-1,-1,-1,173796237,716883158,922832032,-1,667407279,-1,-1,60203693,-1,832493058,-1,-1,-1,342606149,-1,434565753,369111536,-1,802475093,63551022,-1,90968964,506176876,-1,862892134,496291543,839973319,-1,321324030,748315519,969437105,562730101,25125863,646983140,925039325,965414256,33697192,48666217,676919720,704204292,-1,210984486,408006322,792826891,772192477,175294684,741879147,61914593,693018510,303262564,512396979,-1,63550955,295854218,193202608,-1,636497940,428070633,-1,-1,289054958,176542482,-1,196185893,115509194,977525054,-1,-1,267737118,690318803,358911168,-1,152179137,404075575,503680216,413382209,-1,-1,-1,107331990,-1,932972708,757996406,-1,-1,901040811,873225109,13232013,234860317,888528343,-1,-1,264000210,995260301,-1,-1,556034851,561330537,-1,40364412,-1,-1,-1,43971751,-1,748835451,-1,34070149,488718556,80482836,208544294,146906517,-1,-1,252502811,40717418,675095369,94472068,523218131,-1,12212048,157613161,161783928,717131604,220400158,362017429,94224332,-1,502420755,261440904,-1,490641709,114115339,639834198,-1,-1,776371121,-1,-1,501816587,832263544,350175972,-1,964024067,-1,396436126,729835146,241447132,-1,583576189,198464788,-1,-1,-1,276818270,640034038,-1,893100935,433004781,-1,303144657,742614820,512762348,483406936,802727345,927004485,126452376,-1,586390435,920057089,832115362,894870709,-1,393474028,452145905,-1,360286617,302944728,93097199,840247741,785904924,936960672,892042912,-1,247516513,922131599,-1,535717990,758019222,956855930,818643272,347175098,380216820,23499788,409011694,-1,-1,-1,785705597,-1,1690218,429718743,756757420,769906293,296015920,556024803,183548551,-1,730384123,430240308,363669099,513080407,230115405,-1,684083630,650913680,664700423,-1,937283173,76698289,361388227,878923357,28780161,109133682,60709509,-1,-1,-1,394940197,797237849,984475136,720052328,213634305,-1,349714266,421681159,550793056,526365139,499507278,-1,39977080,177341081,570085875,-1,456838427,397596899,630749793,-1,-1,269838870,-1,841609825,161761703,364199070,453121409,123985118,411224883,-1,-1,525690939,-1,520535004,871099577,496841816,-1,-1,-1,313208219,288577352,-1,793839732,341885293,-1,761961588,594270749,315850402,-1,26298934,-1,-1,29695141,725959396,-1,354931720,741560715,-1,938947744,545422950,-1,350920985,797304432,-1,-1,409855418,900208137,357659574,466412964,576520158,814534411,-1,811480340,-1,-1,122104306,35948091,348157981,523367815,719735053,137115338,408057955,-1,-1,472917622,-1,135912842,658669789,-1,-1,341601634,570982376,261558225,307158701,874655337,68111259,-1,-1,265164650,-1,809413718,599513685,417120664,-1,-1,675152514,556512466,420786309,314229712,577590365,-1,944909384,611097366,-1,-1,-1,633412065,714786923,-1,767269181,-1,-1,283207891,-1,911625070,-1,-1,295042995,-1,-1,-1,768279323,931246139,832984209,251902660,638142785,-1,742553173,237235967,592416780,955610091,848920585,-1,899146595,911769535,-1,750212115,724271004,-1,886918351,-1,516071780,-1,25860784,274120250,756676025,578562691,659441050,-1,733099495,751485799,-1,163564672,200981903,480679255,312492109,168274088,777860720,628617262,334128147,548469133,452723430,-1,-1,510381252,-1,821044830,-1,894907432,-1,-1,607609579,43363710,-1,679899950,800608461,295251816,881248878,796834216,925302670,86621585,-1,-1,840322473,572127019,725677672,502676630,984686272,-1,639230257,-1,845075616,738635597,-1,932732627,664632215,944533519,139645239,203028595,944293718,912399466,-1,551748512,-1,-1,106732316,638648196,-1,770797580,823222421,242066965,814526686,69552724,197347222,995345021,-1,332811376,-1,146777664,389515093,-1,-1,-1,-1,-1,725260785,634993623,486317244,251841020,-1,126327498,738488747,309171490,-1,857930689,-1,72305177,-1,-1,230050705,865359769,242827665,779851967,670847115,-1,-1,623184061,202573657,428956079,-1,191152945,-1,169275740,195535678,700240996,181003908,99768080,-1,-1,213390584,-1,552734329,-1,845006945,619180598,-1,674633991,966420845,-1,645143113,405122978,971095364,880002578,-1,84791230,-1,901297467,76653453,254738985,653108395,901220468,20458806,579051489,-1,580045127,52669060,209509653,-1,642736579,438880762,769411099,979068257,-1,-1,510552965,574550776,575022683,182497094,299932662,545512960,828624585,-1,679547114,496383369,38464253,935270035,404408464,206554313,711680398,629578335,603624436,353385759,93445656,674419567,729482920,211760563,108889521,-1,696012085,-1,-1,168109362,564219320,704208305,827865518,717468119,609160825,-1,-1,584157072,686742571,-1,425871141,485544139,-1,-1,-1,984449831,139481066,366786941,-1,-1,49463258,259914961,834187330,668190282,435336148,703187433,392312492,-1,748386530,-1,607013903,291744681,-1,991993173,251611725,-1,239321026,712850250,-1,381454105,314065340,-1,300692491,561996830,580478809,-1,114705569,-1,-1,874271843,749955846,-1,575056226,199606283,-1,-1,210569772,829590260,549578726,622927810,73996978,-1,285187422,-1,-1,69574179,180964449,109150673,13154639,731158049,210622707,809844063,-1,-1,329018614,682081529,258251313,71886573,747934221,-1,582068481,-1,343619449,-1,-1,197428406,689853884,505462903,480497703,722352683,-1,-1,619027756,890335842,981546157,630139984,-1,366778665,807515806,838190244,22220819,-1,-1,234213155,-1,837343790,787378264,707902045,-1,-1,741781088,302204972,570037029,12837123,313781416,472200069,15617579,-1,272738987,214472109,974039741,-1,842543420,465434952,-1,453850048,-1,-1,547740782,900898349,958987469,-1,743793462,506498529,460665536,32600870,27714197,-1,-1,955438864,670362804,421895454,-1,752344878,-1,820538595,-1,286600536,-1,900572944,74499864,454943191,-1,643189660,821957568,821761301,7917581,326162176,-1,263086278,792497779,981119537,425748304,-1,825231622,11041508,36775798,846770114,760087424,-1,650026463,151006182,-1,842494452,10275906,683391383,977978744,309662005,42854753,-1,371510929,304905862,685221237,329112359,874880185,195810923,-1,669338547,58344485,772760795,678081091,582746109,821958850,616548567,-1,-1,-1,266476605,439516711,-1,-1,-1,85452826,11986310,529476599,-1,597468867,-1,-1,236175764,57910570,841523741,345740719,893650257,102409401,-1,-1,652100069,735599602,434833922,639380096,229960639,194197592,113653801,82514167,191846889,724426316,332794021,629102689,304531700,403659246,62909345,-1,657665424,163647910,486206199,230077658,956122258,508435538,466328776,603314795,589129434,-1,614999907,115427404,-1,-1,-1,-1,-1,713391627,994981038,664754256,950040022,-1,480570767,790744770,25433369,-1,-1,-1,-1,322471796,150467066,887550874,904925821,-1,-1,-1,500772330,51771729,53737723,124110981,561926514,-1,372468660,-1,714809686,920624733,267787929,522534969,-1,919385850,-1,470354889,761289460,895398203,330608265,-1,-1,631345002,294462113,527919530,-1,661921727,805967025,-1,-1,649758942,970230689,-1,93505513,975715921,663421399,178141404,714166871,830393221,532049601,38097759,967335515,489264020,127708556,738661733,419701551,549325735,-1,117522827,378763586,17782664,132881791,-1,664885510,-1,-1,242295731,-1,420498376,920961906,622986848,972321212,289081240,234685525,408594472,274327142,-1,904790170,390044427,-1,270027063,-1,825314827,997586785,572797909,-1,456411072,840141143,-1,-1,-1,982417252,258278680,900352878,252969202,-1,-1,-1,865579817,462814904,919734209,319580795,-1,567458576,992525884,83051249,-1,-1,864660977,944560889,23216190,49802605,-1,900749698,-1,617930564,922372135,952057933,699350478,335563444,885478583,953092566,-1,179251126,166528766,549517293,940967769,225194801,-1,-1,318836733,356209758,-1,962688861,-1,77459028,672357421,369463184,93368031,753276002,510010183,356193754,283918618,143753122,-1,-1,-1,664989355,762023258,150438702,881785932,-1,-1,893988266,414886556,953105966,-1,-1,-1,44764570,-1,-1,6657510,948324081,362171749,21720530,450939816,228579980,-1,108657003,460237461,254073741,-1,-1,-1,376794976,-1,-1,279508955,807475430,828038833,794009676,481941838,220431570,164156178,500800105,988714269,553970396,-1,666385178,-1,270649145,-1,172004960,643430515,56793978,84683432,348279485,839119709,465789958,429668891,-1,-1,605296107,262823192,645544393,-1,-1,735030295,427548834,-1,946666197,881410971,222904180,402839553,286213560,229012327,887146864,686589583,15963435,557067512,177656902,630968791,282010173,180612212,141549565,450932357,895719818,453294675,15125937,-1,63896598,50909283,113725012,10943189,-1,945419505,792564057,36829513,-1,-1,923152279,-1,364515466,-1,-1,654909919,593941591,203412311,-1,746581524,-1,217276950,-1,966113409,-1,-1,-1,217762585,451902888,874984631,630966204,-1,-1,-1,-1,780126585,947343170,195801504,863038536,798231967,934523643,938865601,833947966,839923216,138420814,912909909,73751471,793854391,75883821,972688469,-1,629058854,252625596,449261255,689357562,543145929,6609389,3635008,814953815,506576276,886617679,382457738,917419112,-1,132868692,170201606,977375971,56339595,-1,-1,171494840,604978308,-1,-1,174322929,262257937,-1,498000399,751825252,210381532,-1,-1,472967076,708048638,-1,431116794,609608954,356327929,329395225,415491002,14021976,355312021,72952969,306137013,859191686,-1,758563964,-1,227701499,344574852,-1,394667435,-1,79517785,484943174,23661995,577884727,585894852,346924187,125316430,-1,880851672,479534572,900329405,-1,378634432,982987522,384226277,45827334,-1,979481375,-1,-1,-1,344612869,521263840,566096143,-1,593392108,358313053,-1,151482299,-1,143443825,287668201,621890611,816107110,-1,-1,141254003,292744691,469568762,-1,165795731,616214930,388053644,89337400,-1,488263002,911572952,-1,27869284,27232943,-1,158580953,866687687,301614259,-1,-1,855990226,890960158,243548594,14044258,178210749,135737096,284466304,-1,-1,217847179,532827840,776892458,-1,618713690,745939942,-1,880231289,487651644,422592843,320141003,-1,-1,805293928,281136990,250599800,361614483,-1,314356942,-1,-1,272128789,514689058,607974667,753121848,-1,-1,262387306,489184262,407375072,347047344,898746724,818133676,314057652,297392467,166341245,-1,509656955,537055036,-1,190496149,862145282,-1,-1,978017192,8813685,438958314,106645597,761769397,130975352,920616640,-1,-1,280528777,659240165,-1,-1,777867048,415324492,170972707,434177155,996340500,603713237,929137709,365412828,-1,190238254,126508020,682336192,805531073,616876422,417523727,-1,285817539,461030740,338091869,787647641,792386617,-1,639610886,253125961,-1,85578047,646329628,930958950,-1,920318915,358925998,511377194,-1,41807067,26124562,908073954,826588688,-1,684920389,-1,770767095,430427541,990270856,827689221,185758898,969338752,-1,472711750,563426236,93651100,834467505,439190878,337387051,818470280,731289245,-1,23432231,232758739,634745811,637464997,-1,566769897,542296542,512833667,764178297,-1,732277945,612628920,-1,59591220,921872752,-1,-1,100407950,-1,920056861,402666864,-1,-1,476696739,-1,-1,30791260,448652915,-1,627283364,255786068,427334920,-1,-1,567777203,-1,-1,824954757,855441128,-1,-1,-1,-1,555821918,246741051,584609343,-1,-1,964172564,15541815,-1,388371111,-1,686078460,727963792,-1,94085027,-1,691879728,978887651,534617666,918767019,11522611,54782866,-1,150281675,767346424,120057166,345874126,822972533,612354873,592153594,-1,572736430,134950731,469729643,211583964,144589103,512623443,-1,973785726,276487673,-1,979034185,140278679,162493796,534280445,-1,896431331,129622425,-1,169650114,-1,412832516,659829290,637619263,653767954,158433757,724548739,713721452,396255389,652232670,248688480,447008318,334156058,-1,627844603,-1,703335472,293769167,283146609,443549456,168412542,356144228,-1,929344045,156767620,750577784,-1,-1,-1,621698066,-1,-1,164877274,-1,-1,-1,-1,934190523,133702328,991263949,817496057,812714413,-1,627883182,-1,-1,-1,332449017,591613641,-1,-1,-1,524839060,-1,345891001,304614531,-1,317611688,189348294,373363607,-1,-1,938264945,298708653,70938638,-1,392137859,994295273,-1,791987753,799785169,939469963,-1,964766559,-1,647405137,189030102,991630181,-1,263363294,85360927,956122731,194656850,358366245,781479862,386986800,-1,-1,-1,101290253,-1,-1,322868285,-1,64617539,91460238,-1,-1,934204233,276253003,459508202,-1,50018364,199237321,-1,-1,599446204,591464993,777915658,-1,789930337,337857824,-1,563118214,-1,299998548,697202137,634669420,553043227,-1,833110131,-1,329576782,163136554,710866272,845442158,-1,-1,929234549,-1,-1,-1,-1,-1,228610920,382397037,126776990,-1,-1,-1,-1,-1,-1,-1,610704348,-1,436842862,-1,732947044,443797034,-1,-1,190136637,722380835,678012511,-1,897076709,560450791,-1,-1,276954320,53180246,652183964,696407645,940439891,403247273,486657568,-1,843810884,-1,698354457,-1,614069564,-1,-1,820657129,-1,850821091,778077696,336101960,331633522,928935388,458621628,-1,-1,-1,-1,899457422,920501861,-1,518427847,-1,-1,680024135,341421020,660268548,565948115,195685778,536639731,638500759,471255678,486969171,-1,861010585,-1,994742661,314633894,865421914,138915298,-1,632853491,-1,726917069,217565330,934241122,-1,-1,445503487,959709369,897212176,991319579,-1,-1,756332286,87301006,557162446,51152621,694767552,53288749,897486739,-1,-1,737881340,142784018,811903447,707587414,-1,594769615,37100455,680514595,491244920,-1,783815098,509698411,-1,519638984,-1,425015620,86861561,683016225,-1,910310528,-1,-1,52975291,142406860,553294833,707418643,224032027,-1,438385216,-1,816009957,790061773,455567050,355426603,-1,841606901,639633087,437462321,813112710,301778060,243227496,-1,960278270,525074287,263849340,356488907,-1,700937055,-1,706505023,469159264,920622903,274698323,750217574,290162803,797858886,765558915,-1,639588314,-1,652221127,672218377,441306763,450496128,85721488,-1,334461679,29449284,432060940,605001429,159313852,885350552,482027008,-1,882599937,674306682,813080402,356833197,973313574,88348844,453133284,852597961,269548734,-1,40614167,-1,-1,66969695,184302686,-1,-1,494171315,-1,926135230,-1,831778076,-1,-1,968174269,76848435,965165087,-1,-1,-1,-1,295100205,388199845,318058367,192176007,-1,80102121,-1,220628842,471897443,451550261,223621528,732737615,822919918,652186834,187371116,-1,925080273,918569574,-1,114987851,701927241,120852567,99284282,734220206,-1,585929474,-1,680198877,-1,-1,443973300,484361143,88514562,707081631,-1,789215098,-1,-1,366325602,1684332,-1,968764553,-1,979020016,729128750,-1,303120626,97484892,725140727,-1,746046111,87323802,586757152,791177980,434418174,438641040,-1,843816612,-1,-1,326546469,772522626,720342856,158158266,325223770,139019637,-1,-1,710543868,557272161,-1,-1,764115023,-1,-1,675817378,787792492,-1,29534507,719103004,330175406,946929039,-1,512704147,314942323,412899227,540015145,261081825,95598059,-1,-1,672672949,-1,-1,278159437,305197826,247063258,525345513,517591612,770230016,528232064,58285321,791838959,471262431,-1,-1,836818012,815593106,702428461,380231156,-1,813957179,885858395,911842058,739834423,165427012,641500073,156528655,473077629,358950545,997323272,579581706,-1,-1,950900936,47795691,745952295,581542656,117775286,545629288,-1,-1,-1,67226597,867553485,289067718,-1,-1,210988077,266389420,-1,-1,109318097,589678511,361048111,439689370,521575957,-1,537346679,437264739,-1,878940154,250319259,38532620,509671211,-1,453437816,937825558,400808369,149630482,734007041,-1,588728588,-1,-1,-1,473747177,831036486,974141308,126211478,-1,372196596,972697712,869964568,-1,257843245,41266699,263438670,48935214,-1,75516936,981159706,286499532,348589300,764446383,567149,-1,310152126,-1,792301679,283095347,283048942,-1,707699424,-1,-1,337069851,244129608,-1,-1,879249660,-1,383769618,433665166,839074089,-1,-1,-1,495147919,143338021,55512816,-1,-1,129261928,113188471,482238322,825677544,813681539,730281121,830052425,56494278,292635012,-1,492447765,968087869,26204381,640491700,966832726,-1,230189290,180873462,728437424,86881442,405383588,-1,868056589,241397093,-1,-1,194897390,712515865,753883549,-1,531105898,341897904,677400508,47084654,-1,891748903,298793218,131309890,786684336,444218850,947166767,587025737,-1,806694233,608023733,-1,142487558,-1,289612898,-1,528893235,149767017,647309312,367189553,526553843,44636011,670970900,-1,694863361,790615025,838715462,838017385,865078258,716853882,-1,549392341,477175982,817130393,696407769,16218149,-1,574252941,-1,25034784,24370312,39121875,572435097,331220864,166455869,-1,670746688,308977609,166382236,-1,946089947,-1,-1,625289527,201467954,127407870,819535900,297040392,-1,-1,128858260,401708557,-1,442294540,569103165,241681291,17250273,311527559,54179910,834976533,953458736,908058471,-1,875229426,-1,413608757,922387321,363751494,377539228,507342855,86132048,528275519,674293402,-1,-1,619586315,682248213,558811417,261695622,165913429,-1,40743946,389523343,975810514,884785551,242821906,674922594,-1,-1,354473941,472099673,251363448,284373612,-1,489558508,104753662,914573108,-1,652774537,55555401,522736560,61978449,-1,-1,-1,-1,-1,483300431,239361729,301639132,560139333,618586656,660129206,335513499,232474440,-1,99693540,660654093,-1,-1,855543010,194140144,968712609,-1,14954961,-1,-1,327324384,361285151,124987405,608016660,447330298,-1,45475275,-1,931525826,360032931,7483667,893918553,-1,487419932,588104678,-1,811591515,-1,804579743,-1,710486060,298999275,78915620,265103012,-1,892199979,748955427,422916922,506806121,655361592,402327816,120153780,685508073,935122191,587595956,662741720,952873543,-1,985734279,418020694,570110310,283169977,111393983,-1,482124988,409685626,975941979,404641810,353421675,128777307,404034454,786395341,77587680,981024538,243633705,201312742,163652818,-1,88830715,259141238,25061762,-1,-1,-1,-1,312837958,139197128,858512382,671451899,775566025,376607240,-1,772632680,-1,932864144,526114569,876087783,-1,915867437,-1,526776951,588977742,932520089,111977191,-1,-1,-1,-1,-1,-1,202545814,8778311,299775899,558885699,275321854,733273928,529949498,517368714,-1,-1,86818122,124221691,-1,805300772,746425303,192869101,31539261,888731916,947954163,221698423,873730275,296488018,-1,999968190,767043796,-1,841392162,-1,282808220,773795457,77647472,-1,-1,853679704,819615061,102656024,576228476,466845057,565006166,-1,966002315,130733829,831934351,800834254,797438725,129622672,949549475,869786195,425792551,-1,600414605,-1,123556828,63527129,242073201,-1,-1,68741515,-1,-1,81682897,914819273,338701038,877737312,-1,-1,835073034,714692021,-1,95428734,893879816,578626815,935839002,95479029,643956299,-1,116791144,364731976,-1,657500620,-1,141701972,104494421,435050572,342318098,-1,-1,219780303,890004685,-1,265591203,-1,-1,256328066,23265415,7559896,-1,268674889,-1,-1,752462494,-1,838306507,564746772,186398524,549261782,-1,86508271,667295667,-1,654078779,427549142,823342252,61631470,724042136,211493417,430990651,347816689,901028762,448615084,725800830,-1,248225935,64850541,482508921,384633836,351784896,599846297,318934598,759285699,206098421,488916414,545780392,575305669,-1,74692904,694987430,663793768,-1,-1,746766978,-1,180142375,783341872,712960555,-1,-1,306124816,764090468,451111282,176422079,281501429,543086323,-1,22630552,681121705,762310534,285255534,91939913,111986392,477263477,-1,-1,912510246,656046161,-1,781950072,87734306,983773718,471772175,-1,-1,573527810,398275903,123272589,-1,304747843,-1,623043603,342353935,-1,-1,784758006,668613526,646258854,452940393,-1,334611555,12845212,526136970,38564385,845400395,471844962,316980092,596231494,577613571,-1,396562090,8751965,254995228,682129312,-1,342897733,415819041,853319209,484528557,214150760,662686104,877648802,247035227,999159498,-1,967439372,596087222,988676639,-1,-1,123813886,-1,200553213,-1,438199054,468421211,-1,-1,-1,373283642,441679000,240835817,680509283,589490319,22662933,90090304,850964671,915676490,649561893,529776994,566618187,448977796,605417052,967359107,140297539,701403627,793322143,980841893,84818670,196739772,436895359,707721571,127212534,221879238,938226923,-1,841945357,556419172,-1,981169953,93234559,877950810,769030078,493813514,72752437,550959013,520120549,271472525,918426036,721375979,676689851,-1,229677835,-1,400646783,540077966,538592446,660793643,235006215,884275495,381966729,-1,-1,274559954,-1,965751893,410789994,-1,-1,-1,285368138,631321154,548538476,-1,752732675,996542850,353542620,845056635,104880080,975822737,-1,937805062,572571191,-1,435773747,211377680,344635052,398042625,686698971,-1,755644959,365454927,979959548,-1,-1,991277147,-1,215675579,892488561,361707426,582263481,-1,68558596,-1,-1,580052034,-1,-1,201173776,119110736,162290179,666899971,118085236,930588399,544394814,11510819,-1,652845381,430525400,347398173,874359348,-1,24527721,-1,327652313,-1,395310802,491142419,853296137,75793727,288857762,-1,-1,712542039,504904402,700122314,-1,841987284,-1,-1,581146139,651320753,195632616,535959139,-1,-1,-1,-1,481062598,531054594,-1,914042038,280014398,829915858,-1,696367612,-1,-1,662946148,243028814,725114302,-1,336868591,282744822,75778768,285983749,-1,772601870,-1,462988122,-1,-1,335019951,32998568,290971060,592414881,220570193,265337133,289639784,207181654,531781004,516734700,-1,339112674,-1,690870769,195554803,-1,880076227,-1,370957769,601803521,328489355,553103107,-1,446486894,-1,987007911,263153053,256097854,708068074,314556151,113932339,991339075,354350178,670441426,105223073,-1,503859085,465228466,238282116,-1,596704288,124789083,-1,-1,-1,-1,195701219,11946073,192839921,643355427,187058672,-1,-1,-1,627729549,337133580,841516253,527238068,503024094,149881211,24574224,-1,184788216,479929444,862927973,-1,627519429,86273148,783408762,917612267,900772268,354316889,885098624,498905342,477285560,946087657,457983337,30919702,106031104,-1,632744715,195542562,688930253,491156677,115177027,425611988,636786617,967935504,374003655,-1,707764087,-1,338849207,-1,-1,130862031,666799145,-1,-1,554917150,596155147,108511688,-1,-1,227368016,868732865,123949333,180324010,740714837,158588315,127889614,1885366,-1,243703628,102443418,471093478,659145413,958202722,-1,-1,-1,435577918,215998112,595289093,-1,743573085,788555206,764745848,443325268,776000902,-1,611027196,-1,90061770,809632866,631126428,263026168,485249706,299506089,184664466,200193502,500784647,877127381,-1,44023875,32096203,572747278,407073582,-1,354218511,745205429,737833324,130356724,473117083,241131657,247383703,-1,42669607,-1,-1,-1,49426201,-1,609733024,-1,415013170,109892887,154927957,-1,560842798,120795843,-1,636401601,933638685,318296700,569412671,861374139,121554885,585391641,801829631,-1,861370255,-1,7160237,-1,-1,456227685,-1,-1,328516211,-1,745755423,-1,609690544,139485623,539093739,970278368,-1,505937075,589521529,938519919,529746567,201185283,268660473,376469152,276758466,673316505,666954247,-1,913552973,-1,382660872,14335126,112514124,-1,-1,754608918,259384075,532873377,-1,256047811,-1,-1,-1,586758799,-1,733578812,-1,250443624,555225707,669879992,209799213,539536569,-1,-1,641118197,-1,52149432,78132485,597038655,-1,166733896,863738224,-1,158693102,335237307,177589888,1182112,237301831,-1,253052132,989953832,-1,906137127,987123076,568899543,-1,-1,948783466,852182013,-1,-1,-1,120194322,739167856,-1,428309613,325326975,536013259,825070872,355350764,998011425,755018891,893085777,831360966,-1,637692986,636368145,927870864,13432352,57618654,418953810,480483211,-1,-1,-1,-1,508185396,407988064,815104396,823965588,347302338,995754653,799916204,935445042,905745955,-1,-1,239606378,327868847,112325183,-1,91684653,-1,238319967,-1,998466640,26371178,142674249,743647784,-1,101045609,-1,629959175,-1,699482426,806890600,967119754,490524950,532729713,-1,-1,838226554,710072203,824738604,769746168,254636277,-1,47610989,614425809,773625614,-1,810319205,383752751,489349626,-1,2442933,-1,247065935,506441030,-1,613978150,980861556,759051474,791424678,417197400,-1,-1,325721367,75374220,726051708,779630761,-1,445561526,-1,-1,799805749,98715357,-1,887323845,-1,569041193,-1,45057466,-1,437272230,466451639,824177929,108931686,317320479,560189442,917138285,228287829,-1,526062265,660814504,153426286,550519989,603313845,300035279,764867344,652764246,301112005,-1,623403921,660371266,-1,481015298,646809564,-1,-1,857067215,180729649,487925576,815450050,568071545,691977989,215810692,688796325,537946794,415246300,45152058,141033498,340379231,786057852,334628125,33867035,719904816,459772155,-1,-1,-1,-1,641158977,-1,-1,-1,160266704,343437132,513156850,38545387,493258782,888551705,-1,772302071,-1,731865951,-1,157751328,377678857,-1,146300365,764291533,666779315,591668905,812897182,55692371,50001552,-1,335431986,-1,-1,21161066,-1,-1,765614179,90045362,859375138,-1,537803282,116117165,356469009,964328775,-1,815639360,430246599,-1,471741107,-1,19084751,795965433,830605634,-1,406288232,-1,-1,-1,-1,609048546,-1,-1,-1,717888278,87468387,733796278,948901769,976435531,-1,467349286,918672709,734859769,107393274,-1,576876589,325207947,-1,538341291,999515402,-1,-1,940973146,-1,682049683,-1,-1,-1,455656298,983582074,397046976,-1,511803304,440436301,51059867,-1,441209374,430374127,79949365,-1,956141601,382621770,423070292,739004855,784839530,458226621,808868292,-1,944940834,810890784,-1,491449662,529670566,-1,869222750,978553759,626865806,394597380,533160804,212679085,15807428,183911217,463368720,-1,585414373,461600345,246217053,154393743,679173006,474505819,611880010,727417513,-1,-1,378018515,-1,135788977,892854727,76409315,375501609,-1,-1,482660396,414327258,744336837,571949339,551291853,330583323,46116727,827545357,622570975,740801392,-1,-1,863487256,92111110,-1,-1,672446296,639339508,390078217,-1,948572324,362785715,972095989,-1,100290460,157611339,179737707,798602166,42283208,547479349,86375404,457274547,900943033,600004799,-1,702784625,823545987,646817139,406091381,767820508,-1,410887497,3600581,932645680,832491508,102644226,18951162,912439016,961538241,-1,886489714,412084578,183794148,-1,439297755,760785853,912053889,649725454,70847708,335113243,511617053,90241939,715135185,566352059,913201436,288419044,834745038,521255692,952280870,847649037,805630322,537894097,473197108,192900983,696376935,493405992,-1,-1,225883674,-1,-1,85471504,-1,914180559,242694836,559119932,-1,132799723,983495367,139086044,900468723,648632251,906431466,914963874,443514439,493701667,892294926,-1,495978990,-1,97756946,-1,116060501,876109783,116788187,-1,-1,829662210,410120649,979513372,-1,41771213,329841271,710350110,-1,-1,-1,821853127,660091572,-1,236048219,165906935,963852438,903520244,499219006,174658664,-1,-1,370227381,969386121,930583383,759862189,167951621,265068492,610040726,-1,854386732,655708548,145024223,353780645,480649302,424125365,325203374,848630484,480807639,437850494,61271963,600979590,825180041,-1,70726488,741085344,76313505,739594722,423044399,-1,903862355,934620292,434965458,4213170,835222781,937078877,809047862,943834848,237264263,774251690,732735922,578333754,281308226,460933511,-1,653062348,619544011,300273651,-1,-1,167220267,804657460,845777391,587350267,-1,856574621,865078689,-1,262075364,778353440,679332011,201214243,922479787,37748520,817448084,723908835,-1,-1,-1,960672810,28441500,959059937,76929146,383863496,520844475,872752016,-1,670361638,989575133,536772521,976154760,981890615,865093172,13629884,267814931,-1,28727570,837336365,-1,356537223,-1,671764515,147903395,619105241,8298003,873842236,923531276,927881091,705586372,-1,702750387,743939053,620263743,-1,76724247,-1,-1,939718608,39261677,746073317,439586954,732338154,-1,-1,381581100,42157453,-1,982494876,771133704,786932306,409481168,-1,-1,484168081,-1,672421877,546212678,-1,-1,629823963,-1,502048312,651378825,-1,554672248,601559596,-1,-1,91042126,460280881,365465987,-1,264791345,843049742,501574140,763154400,667571535,846635840,35779933,-1,-1,737350680,-1,663511225,377662840,178789725,500436304,-1,-1,-1,625167642,686849671,-1,-1,532755838,497614471,878666311,-1,-1,110604064,23205022,-1,-1,480754646,900235140,960864937,-1,-1,-1,-1,-1,-1,565345381,-1,130286754,-1,-1,791106875,-1,846471629,416307641,438349697,382903956,-1,-1,-1,864498877,701928862,-1,-1,286850639,-1,410042727,728423940,935027694,801687826,-1,371188685,357845877,161479685,-1,891721430,408944855,212957848,-1,411968304,987197380,860710914,286717851,789961208,431013850,-1,471162085,-1,48756733,432414193,840276885,53515272,97858082,936003074,-1,-1,-1,793116278,7894171,928071534,-1,-1,701281659,499417366,205648532,-1,193031537,790873038,606057151,-1,861444721,530406674,128847764,429469504,146623841,319510203,996731743,869685848,-1,-1,724525775,685933781,693641238,5892074,484457976,814168676,-1,-1,83395686,183380715,713208201,273130163,329568796,681658043,-1,-1,508694914,965798184,702111733,-1,300445708,744264788,969398954,442775262,-1,797457902,973908777,515390626,-1,714427791,680803568,-1,586558865,-1,114757396,-1,-1,-1,266798357,410422411,-1,621918272,-1,-1,-1,569595076,-1,-1,-1,123144051,-1,-1,240024832,456948839,39774860,583997013,171644142,-1,681692073,-1,721131788,747356450,310057921,743772341,162106413,970900244,-1,344533800,577056215,458576043,339383638,881975296,650649769,-1,-1,568295518,-1,-1,323506251,-1,683195053,74415731,354592455,534162749,-1,-1,459222790,877411336,753935260,396606444,-1,-1,903329350,-1,647604729,633225538,548758826,445676331,-1,869986048,598783203,763705130,-1,539566169,-1,785093547,-1,61581282,435000749,35294759,-1,881653788,-1,938589322,123765132,454708966,266262724,-1,-1,561502535,588153040,300575794,837152465,607365981,-1,-1,-1,144573427,116552983,844535642,627390166,-1,-1,279071960,705392265,713855401,-1,-1,273511945,-1,-1,-1,-1,-1,405095202,382873415,-1,528725135,248429422,486511338,635858880,127782103,488005445,894127210,438312844,875290416,180782775,303114803,858156236,475443451,438356142,-1,403194468,993320694,-1,178773970,-1,439471868,-1,-1,559084047,385347839,262560697,-1,-1,-1,-1,-1,323626462,188873254,742713182,183321727,524353659,505340556,-1,207580599,992456818,787838564,64922590,73784923,-1,-1,229013845,570683596,-1,526861867,937804045,-1,714544433,860741308,886694903,367498060,-1,679994594,997668078,947257582,591150227,445081891,240340439,868340849,261185463,-1,756756315,75309539,-1,-1,-1,193512544,566374711,-1,-1,409668507,846948774,132942134,-1,-1,344618662,-1,332409108,-1,772158161,805093170,240524578,855428002,314210555,-1,362415293,948952951,105617543,-1,545002160,183677641,656576633,843601358,738376122,131735429,-1,-1,548789532,407644224,857492957,777233656,-1,616650342,-1,786776278,666175428,-1,610536327,787704511,753630594,473608853,507887505,64381243,186615480,-1,-1,42085742,912945010,-1,410225541,531679154,766690854,-1,-1,139021528,614191494,-1,326526443,560461191,472630342,33277899,534969152,611405308,558340357,595166578,-1,960293378,587078587,-1,261223439,288198552,254161614,164461691,-1,368801616,-1,-1,710733435,977986876,741954281,744503450,161832162,58373356,-1,959896791,-1,-1,177470778,-1,426052477,159488318,377628111,625249366,317897597,-1,550325719,491758075,-1,-1,628623682,301323567,191112965,569294650,573192155,675503398,215388696,221408100,904420208,-1,907072069,-1,446950454,-1,676425036,204533282,-1,858261813,361077952,305692872,938707786,219852434,-1,294496330,751572432,-1,-1,541165128,926824213,283270039,-1,622566761,-1,-1,207569483,633667118,-1,-1,-1,-1,103040372,212523245,-1,996957784,254975418,254941862,-1,-1,801193235,626661054,-1,661853235,721101529,753222440,202257776,11828887,362341485,-1,-1,739925612,-1,715859121,-1,-1,896065324,1604321,633253003,-1,-1,603046771,50078866,934923873,903918679,-1,-1,-1,860546361,718293691,342214333,949959558,-1,824169450,-1,757544204,186392112,564404980,-1,281834770,779010851,608020337,538708493,609899756,478372388,724518603,-1,57560410,332776876,445664450,442025521,14706812,302991340,-1,571734484,856565272,687836869,839742321,849741858,517767005,-1,996134866,397878221,96937416,-1,865766946,6217035,904860516,680453665,-1,-1,769257684,953809702,-1,-1,-1,387312378,3869544,311324378,829977267,-1,786824136,814954454,927231093,-1,315524804,-1,-1,776052514,246238978,259233352,625240458,-1,926594961,-1,697248636,-1,874785045,155957154,464995508,-1,289740793,-1,470013665,-1,-1,-1,234269973,104456111,-1,772142898,-1,-1,733928533,-1,-1,541365815,280236154,525307035,76033688,575773344,602000531,405376898,99037411,254140279,-1,839208907,-1,287262307,200279415,460246341,616168911,97290539,527120587,312495749,-1,705993031,402018492,298693142,980407690,-1,-1,942900055,243666443,-1,190827226,634404893,976563685,194448845,-1,795739813,475531282,73923722,773228901,-1,993365643,-1,-1,-1,223777284,-1,412096265,465913723,324621269,774633015,295998979,830289444,791173456,-1,-1,-1,-1,359322664,242048848,-1,-1,826329325,163625791,529108989,318914879,900253478,851515397,419181879,-1,-1,-1,304876063,751778022,391339607,-1,-1,805783696,998518442,754674458,277899392,161860684,687662033,-1,321949517,725954668,694849737,35039648,888250319,640100331,724613984,197900957,-1,630583511,-1,977093199,293756349,847963729,-1,939474289,200777845,-1,-1,-1,474533048,-1,558425244,437949172,500394215,343830999,846897733,-1,216328524,-1,-1,825316051,685920225,-1,969318362,301631292,409705345,153285410,-1,762829350,402296742,839861288,-1,830561446,233973487,596581609,316330085,-1,430609745,-1,828843828,122090271,374392098,623916945,57321235,802133077,240471344,-1,90334911,-1,762364552,596801864,-1,380321120,530282189,366478762,-1,97668573,290418866,-1,-1,55625416,122429619,106821711,-1,969513274,729010195,264932788,-1,-1,598819655,459588127,481723038,-1,367945147,233532329,2346345,-1,817220364,373671775,946608379,-1,-1,191966012,821832440,-1,350837142,965080999,657179932,677433711,856122019,-1,464512430,-1,-1,368129847,18576338,-1,-1,948500136,-1,950963429,526543088,8072949,-1,-1,-1,274116055,-1,382890487,811737616,810008501,-1,-1,879482554,246292745,-1,-1,992237530,334513709,723681396,522186828,936895468,864600841,273211091,182751240,989434755,658420882,-1,303334653,856672079,-1,844974094,472388348,-1,-1,363311169,-1,953654124,313623839,-1,-1,-1,-1,32852675,533747700,215890393,829542516,151220804,830965166,810742296,498036238,-1,-1,526607197,-1,649761015,585020497,-1,84604335,870602508,-1,107301468,148284268,14148230,41883322,874916684,408607392,856798832,-1,647216406,-1,168768763,18367716,-1,960155730,-1,654210048,239000407,846256115,551577631,-1,752834728,244697890,41264317,84764037,827327423,181061253,56396194,-1,258436924,-1,-1,970246952,361235933,201437423,252709858,972346063,23341304,487310952,693705096,-1,-1,352985814,875699291,632059112,230486387,771956345,526594826,-1,150830369,628571012,-1,196151030,34254726,-1,667327556,397313633,248707350,-1,159976634,596678807,-1,-1,-1,718163300,682855756,73169202,791771150,857815212,476289140,400776729,427553314,606094464,317788362,179905244,703253347,85072645,-1,-1,384385412,954599081,59809480,-1,714841379,-1,-1,-1,987044892,441029644,843133916,-1,428533408,964900552,-1,839969368,110309081,853846083,180028172,-1,-1,82531262,-1,-1,557741999,33314467,-1,28681824,219133370,-1,108406736,783521385,-1,191457452,841741590,693446281,845185423,643662021,428374182,922875529,484902699,214373882,52404352,221643004,-1,-1,795073304,365135469,960402049,-1,736420936,-1,670613991,-1,-1,609145600,495476627,142849132,941590006,195156387,-1,-1,758306329,-1,-1,913841047,-1,896426784,-1,136191597,710087233,194628489,5917847,137320622,431441280,886169025,607260081,559596809,-1,260565736,198426731,-1,426946476,833799906,186905253,199602604,405865926,639898454,315251120,160722357,-1,-1,960416287,-1,79021617,-1,27296944,552836181,383459179,523951162,450009504,34579571,383828303,309229236,829914456,702906843,-1,188580685,703392201,506792397,-1,-1,272371475,992260581,-1,214022366,73348755,897052796,126884457,478178781,181464736,31805705,579832552,793843260,-1,318209110,-1,80405781,98908946,657324144,694225443,465114906,-1,482192581,348658413,-1,-1,-1,793877516,-1,997546821,945260929,365768,-1,682935205,-1,979319212,411286661,111381769,401530811,818426937,954653989,810811609,855495760,139560374,426780844,-1,792724098,919484475,763492636,-1,-1,875506437,655173768,664699366,-1,-1,941750017,215625016,-1,688103564,-1,812677933,646727052,652451368,-1,-1,82337415,105487278,-1,361152766,755060536,792607288,-1,328606669,170621299,-1,581839547,247223400,-1,-1,403085100,234942214,-1,517517301,770940046,771435804,-1,821642392,948932108,622609915,-1,585467406,272224723,458487536,784074852,-1,-1,445226198,-1,103318339,93860675,-1,-1,965422422,294354798,-1,486070953,676111763,-1,221579527,83569120,514531037,-1,-1,-1,-1,-1,884738985,883919253,768156492,36393626,786906717,261599674,-1,630620319,255239351,657297155,-1,640299048,997193325,848408572,-1,51942582,168148847,755429571,-1,525993377,21126423,-1,240735266,-1,57631895,-1,151764276,499802875,-1,231149534,-1,159059109,711748183,859687495,421710003,708325930,-1,726801965,-1,67646312,410195901,-1,702849001,811602963,9500977,498298159,-1,-1,583035382,288498209,575880007,-1,450361896,-1,926921385,744762928,325795585,610673144,664230976,-1,883701805,185610964,459271175,705588981,373304249,-1,873988890,-1,997897709,950496620,-1,583167962,95146891,907350007,727503371,-1,691926937,897923915,377937234,63374810,217867724,812796158,3084791,416228838,386792604,539226666,642040684,486868731,-1,-1,580224913,-1,-1,768372389,372730958,749809919,-1,394007474,900121693,215858064,92095421,-1,-1,771343360,-1,-1,162713641,-1,906660252,309013779,277531233,437805426,898868733,-1,563057737,-1,-1,556059701,545337825,238901366,-1,11346159,-1,254770515,286982505,-1,810720251,-1,975313048,-1,200460527,-1,-1,65120954,-1,726224757,-1,565348371,739257956,298989477,-1,732665166,658647784,138141145,881044998,984066749,114838675,-1,576468926,884944573,778566129,390701312,556366494,477044391,219405211,859292339,792162431,-1,-1,350268228,239542944,297778469,-1,-1,817870801,679567953,-1,381278297,-1,-1,127121313,157570934,681796463,724088810,353647998,515953542,-1,721134582,-1,585002457,493630488,248161267,-1,201823149,660429162,3956882,477364382,-1,-1,582487575,981363485,-1,-1,533499373,342227921,352885523,556869386,897071829,325853615,661368152,202845743,605963196,934989684,553134290,198545576,141444339,511942235,272151443,305102859,-1,552706336,635331713,-1,514532939,595390873,513231346,-1,363250178,448849846,-1,5660082,206291075,948866319,282040679,927913628,948140154,538910811,594512966,135962935,485314915,948684835,-1,983131462,104262377,929699114,358205217,-1,634091375,-1,230748766,130304260,-1,602183386,25363086,934757389,-1,812159726,677665442,221972324,953563587,-1,-1,10880195,-1,432301595,939864650,614799400,711024032,-1,-1,50113979,740589196,-1,857906515,-1,919459733,-1,286213555,-1,-1,259582650,-1,-1,255166503,17970741,-1,260125061,738751585,128653213,-1,203247404,-1,575382669,598374766,334451390,623576759,84203197,710050417,106080928,446984413,825793926,-1,-1,-1,373772178,919742074,-1,553510221,939900353,609325014,-1,-1,39764668,258580578,495955125,-1,271091498,903187454,803118145,-1,596232201,323726955,-1,-1,-1,-1,106980792,854227236,67525136,-1,-1,-1,780798861,738093406,466607406,921340338,953865785,325921227,561573829,557165762,783655126,281799561,399247610,734163948,-1,-1,320554931,202293325,468531321,-1,481633585,-1,-1,-1,-1,799484679,-1,146290702,158178823,839250219,597055702,343347054,371994800,811244017,974458123,198471278,-1,628009027,106560128,-1,451724494,-1,-1,730792575,651317205,7987489,-1,-1,-1,792705355,-1,203025058,-1,860396102,-1,131243610,316433228,-1,840881894,999484377,210232365,935464756,255991167,870630519,-1,946312950,500559362,403211846,434007286,137920366,619162718,-1,678281447,439239792,701550473,927593165,830992002,457718098,949378998,344616539,884980064,825393250,67183253,175796488,792849871,-1,829645391,537110453,545238090,665369956,778584328,-1,-1,286778509,-1,-1,946634952,59051886,214848659,-1,-1,744455902,-1,105047386,-1,-1,-1,87250913,-1,894396505,162809035,770282835,-1,-1,986789285,-1,-1,-1,733547186,63693075,569720766,-1,-1,-1,73085609,606723121,-1,-1,406822940,945961776,191071827,-1,-1,159669276,942454646,599195490,814874608,-1,993879922,-1,404482492,731432542,448941509,124527187,91347442,3136015,615416068,-1,-1,-1,-1,937759734,862146667,-1,-1,451437438,702962529,787754930,897589470,-1,-1,-1,751360572,691595449,-1,463516400,296558306,143045223,845461617,-1,901308743,369150923,-1,211369662,-1,381420453,143499513,341018130,440537299,373317402,545722394,930626284,108140790,-1,741242520,75179873,171177966,901063701,-1,876047709,373601578,5248608,507370146,677431148,17724312,771793637,284667775,626386361,-1,777277748,322506387,729919907,-1,-1,768368872,-1,92925297,-1,401896718,-1,770362158,-1,-1,55754874,334029039,-1,165195079,-1,138872682,222660405,-1,-1,201711114,-1,318904283,183402281,893013294,132128850,822280967,768527774,920603779,-1,58948775,557227391,-1,612305066,747962950,339962198,748372880,657787001,-1,677338725,-1,230901650,760037230,171473902,509802241,195293531,-1,882086787,171774526,-1,776542237,-1,812628991,892145633,820941609,-1,145357503,955507986,558907680,-1,763297039,-1,392462773,567510282,729038822,516150464,800347011,219803277,207419933,-1,902691178,-1,-1,-1,-1,493772383,807946430,-1,647546840,133673314,722835806,-1,-1,-1,-1,527918121,316920732,-1,356693258,91717810,-1,934447951,786271802,9490268,360937544,972335588,602108149,-1,733151434,613408873,718346760,-1,392606387,-1,973085058,539860828,2963190,306666076,511562610,-1,460276636,354587940,-1,794597065,492036979,452468749,315663282,745715704,931009965,839217335,-1,549176938,408204055,690963959,736860280,506957276,-1,962534784,567273968,992186471,358299359,-1,178424595,-1,959214405,461664958,600845897,-1,392054573,439774363,-1,567531369,311027381,32986834,-1,514989192,268509265,-1,-1,126015433,-1,34105469,397244134,819022786,409175691,624606853,-1,-1,-1,912056144,30618281,194875895,-1,841802607,-1,185169742,33020945,353820620,34038925,426229688,169617765,-1,229202216,316582666,681295632,395531048,238447442,371300829,997400876,806531567,583127733,482635129,309786461,756992398,515349804,300895275,811790787,-1,136487415,-1,164006968,194854165,118249735,768800548,992757175,415755552,455445556,554597197,353118093,35665933,-1,-1,45233851,-1,153143290,906117608,427085080,978962117,203427652,160571237,188336989,-1,935716306,468435456,70030024,504002948,-1,-1,721532541,519897319,497379488,763744152,265231596,316574745,681360619,346659707,487258063,233772952,637291307,522622030,-1,-1,910660752,709594102,-1,257976763,753847881,744025074,372222864,702266075,572168886,990479614,-1,139665897,572682141,807153581,531496676,219003048,372515288,-1,554752211,735982211,630369242,471812686,233993198,447608498,-1,45737068,312083414,693783465,-1,858245211,163796834,-1,358963947,-1,724341697,527399602,-1,881887950,-1,934901631,413915803,139159644,851310185,457811862,307759495,651522188,199291987,-1,-1,434734832,473948589,113639821,910275080,-1,-1,153686539,814471987,-1,393928392,952685972,-1,-1,176254049,392679437,819406373,358718469,354910706,827215976,392354231,90173930,609995857,547380760,-1,-1,83441635,765124504,312537713,668200471,-1,93023925,716993851,-1,-1,777959046,172269642,487620029,-1,205346276,938721892,732306,842315859,-1,178115473,-1,1913314,-1,-1,752401682,635212533,397800251,-1,666572734,538331858,63939506,840153822,498015730,381577048,673057730,701942478,50815509,-1,99406263,672854451,542198708,874729614,-1,-1,727894426,12580768,387625096,181902794,-1,809754117,963782361,-1,-1,861616132,715212853,401151400,-1,935624147,-1,-1,116474350,-1,167195808,-1,149429567,12811036,92852254,276236348,524552379,244010389,-1,685773395,-1,859916829,851653182,-1,387981211,-1,62336912,44432896,199388528,254076858,951441686,618784547,309132522,495984301,460458264,989289707,801853712,383122308,401190353,231314953,-1,-1,123268288,952056171,-1,-1,991061412,362568410,454488650,-1,-1,501770891,341305259,-1,95315379,71584252,-1,-1,44845499,228972755,336938950,426475453,644275057,393879019,227380995,417084802,263469363,-1,-1,643438467,-1,-1,856111077,655020348,93146964,-1,9626633,891569732,559625461,514264830,323234671,134478702,413358508,-1,56409236,472855387,-1,265889182,-1,-1,-1,209672484,-1,-1,688925848,807689235,-1,993019606,207158139,-1,825633115,535951883,434294493,-1,958291255,-1,674309442,-1,428360897,162147093,-1,-1,327134561,699064000,-1,734663943,261859380,668671863,491040353,-1,321870398,824634913,-1,874991786,272020994,855761639,684777460,-1,3481883,15229178,796185247,693903581,369202326,811225540,220346829,459885032,-1,223259846,657390723,-1,696154631,-1,785367415,35600199,-1,104397556,-1,451295560,868037487,443579598,88717346,753570840,436531667,548253397,-1,-1,286750488,-1,-1,717046298,259432283,292903519,487868921,322697572,416348218,430020556,592177847,335795891,869738217,-1,-1,-1,112866706,530508234,392289888,461160066,889065788,628960847,453137775,-1,142648120,616994971,5920775,327060546,48807592,-1,606601126,224496089,22084932,99479701,-1,-1,879903728,626680601,238810052,-1,780215329,519655222,15921326,462423665,-1,228146000,576488553,875331705,356532234,604145782,-1,239360610,485680874,-1,526960762,37459765,474540700,-1,173239851,65384568,8764175,219404299,454571165,81210886,57083059,-1,653970187,95553718,-1,972463156,542828550,-1,719691604,739710698,368223392,-1,735234898,464136934,-1,458465478,67221959,260825599,185160289,171775345,785250481,302810886,-1,705716890,2045879,339975771,-1,-1,430630738,928293759,844030234,-1,194362441,-1,966176199,581609674,243601594,57463166,-1,945540362,452263251,-1,57837538,324905740,246596990,-1,695226189,20223583,-1,384827745,185663230,-1,825969264,-1,-1,332361946,710360986,655535073,-1,168476218,881227569,-1,-1,617063073,121894517,-1,858042587,490803849,32034650,-1,-1,-1,297496736,960399334,353763108,-1,360658894,575826157,838230412,404123028,838669577,77054282,899919712,722126729,759421168,966643581,332970537,640827396,495487116,170105998,-1,233741097,424766732,851871486,-1,660539053,888946905,453079733,-1,922181935,-1,456417145,-1,273102016,475447246,706097166,72140004,-1,-1,-1,317605389,979909032,-1,5280484,304931565,-1,700785288,407728745,337749443,206090363,221179685,547332357,-1,-1,842643277,-1,880784309,-1,398754447,860325561,232428211,725788480,468398518,-1,-1,549657756,477212622,131851597,616331345,141512605,158507659,343192874,73675035,902535064,314066377,-1,773010885,41859593,206923550,495713540,42215172,504187591,-1,358273862,-1,766085465,-1,-1,555573180,455773403,367571105,76973056,317883086,865142301,-1,416377877,83930287,567067693,318582643,-1,-1,406930361,228037477,681017266,954656103,141090544,-1,351784330,553714021,-1,611639626,555955202,621874056,6168389,680109401,382735963,598927214,438022502,185978737,-1,836404218,-1,320493271,647091664,432272050,415537296,85608455,421311324,96513776,209493949,14160665,765180212,238278259,857487520,-1,-1,-1,563120103,475587693,294307998,574351505,354729300,472104471,87348167,593505754,623520445,-1,-1,235148207,381177945,561980594,734958169,939083527,117272488,-1,-1,280372038,-1,-1,284521685,-1,-1,-1,56395973,757070398,113893708,499151342,343335988,29768295,333042385,446047813,32308384,702142725,-1,-1,-1,122536791,193299813,95982411,-1,731588080,233993828,888112608,240817312,712688674,817427404,153413988,886414657,539201167,539916019,933778550,720317178,29664317,244321794,-1,994344211,342303798,856002537,-1,839942916,167360907,541075116,-1,-1,-1,436785525,-1,-1,626845869,873642122,252821680,270906827,365788785,-1,-1,-1,50301613,757087950,265729873,-1,-1,963618824,-1,297862418,-1,659293385,-1,703485869,146810542,480977031,-1,-1,827861548,-1,-1,826686475,872878813,583489140,539724166,198586148,-1,-1,548039009,998960351,65020436,765190683,49031739,573624543,247796834,-1,-1,792831015,-1,251580419,565246552,442097469,365723466,740672933,859176279,26848079,297116504,469402017,283817754,-1,94337146,125826654,163934276,774483807,646536630,423334515,210963026,-1,746201752,955259221,-1,-1,764661169,366686340,-1,705199091,341907529,211060893,693837925,121077323,328523218,624156467,971570306,-1,464049404,334347882,897853161,243112996,-1,145172162,720500229,-1,200656110,36627141,581679005,-1,-1,534760596,584144568,916576544,796223550,318862494,329381909,-1,962769806,117021370,-1,901724741,520353709,-1,547089021,-1,412844677,816031142,627619204,270608870,110537351,853208863,274772553,-1,-1,-1,805397095,93640317,68782857,278772233,334406620,292698413,404433397,902494665,326412483,-1,503236039,757540648,686908190,343962153,-1,-1,370545952,70283442,873272763,-1,888278504,352987140,112299580,104113826,981243494,994289618,523882314,376683978,723429219,-1,-1,410845872,417503068,179303922,-1,164372791,52960983,69097170,344166034,-1,374397501,610429644,-1,584640686,-1,296172645,445808502,701804444,691657019,-1,666347154,-1,656422260,294295714,-1,101176617,364028439,508841334,819660482,-1,993271586,922319644,584640117,225862871,260802091,664346869,104191035,-1,-1,791117338,288036416,-1,337933457,506416492,-1,709147465,482226711,992614307,308787915,849327452,746495067,-1,632499889,-1,73791796,-1,996604474,39240273,305873733,-1,587129965,-1,458506186,5555292,-1,659078478,-1,793289366,898229506,-1,-1,992777552,393132393,667884074,-1,282552034,374063220,-1,-1,243286591,642015790,467666287,372213719,97681371,979135844,587883492,74614416,-1,390122705,413890776,-1,-1,-1,525926512,676181199,115453456,-1,621704705,787832533,284734896,-1,327494435,-1,898917960,-1,-1,90203119,-1,33400776,687992861,227848165,-1,-1,934362308,-1,-1,-1,-1,763880825,429457948,109074823,81652778,-1,-1,199999163,435574280,955123260,-1,276010620,-1,192519846,-1,-1,696102116,262099895,282049458,-1,66988311,-1,-1,112837549,591472936,188234840,464668918,-1,591083549,331557076,-1,350079875,92385543,-1,-1,-1,-1,650425767,465525863,98113844,78389569,988597145,981604715,-1,607747677,786416510,904993556,982157819,-1,512086444,337235761,662585811,-1,936428928,905392550,55505020,-1,333247435,-1,-1,718523457,904239554,100336654,907372128,68318702,-1,905663936,908685713,188889976,344433692,54090288,51087780,149607446,821379387,-1,563036111,90097893,-1,4408276,505097532,97438873,-1,407719111,284058295,-1,547551133,-1,762087316,291083445,-1,-1,-1,929588992,633856453,239905062,30772957,120029706,700120508,443924186,362063257,878358605,12930062,491562155,680467793,-1,379736319,166799049,-1,364542284,68365893,567312964,232271243,876337483,397558972,631432216,-1,547460097,888383654,-1,550744581,418040726,591601771,5580543,183967063,459106243,416118297,-1,959856001,-1,484534519,777704813,964952374,800663364,95488977,729756198,536816877,128861079,775548088,785989091,760589453,-1,-1,28730014,898853232,823873793,643496670,577866048,331394937,784533041,742241821,711064727,272125567,664944968,-1,722702681,280006477,958367932,157743199,205480542,523249222,-1,114274883,323198475,500786727,844745945,352443945,-1,960873521,-1,163127007,527354844,799807438,944144107,643507567,826948858,121124793,487443122,-1,127812770,-1,-1,-1,680103457,342555853,242291511,919372096,196161943,117101961,629425451,385902815,583185754,560672453,556283029,637570905,197612943,856428130,-1,-1,386310653,-1,-1,-1,457991744,489473789,-1,310992946,328820023,488897424,-1,-1,353319517,-1,-1,735955196,400226210,645110695,429006051,99899404,832073733,446660974,-1,665915634,-1,-1,-1,-1,-1,-1,732751948,-1,-1,134708641,204433335,825828487,840294573,355915645,38309803,188967370,218928401,505941239,2250156,867438072,-1,74018210,-1,238040815,353670836,124462581,-1,445447189,-1,-1,426332545,-1,400132284,213385359,-1,824866823,-1,704044288,417554251,503601368,790670771,-1,-1,724120270,857957937,561426449,43175344,-1,302278067,61723068,-1,834723187,-1,416223924,913797344,-1,-1,812498942,105351019,470035717,68148312,722963685,481110436,-1,101814342,831708449,158959218,823198160,-1,888697575,295474161,663615563,947364568,559153190,233061480,318019947,829432989,-1,-1,843179466,769897734,389624729,669816040,219610252,-1,188569697,674880886,406423490,-1,965297605,8065358,349316188,379432090,-1,381427396,588851455,-1,64197068,-1,-1,403887440,49939343,601416321,544773101,730653558,623723832,937708988,-1,229616674,-1,-1,678525628,-1,608165891,660431276,298988587,467562094,846237043,-1,-1,499471207,984170141,887996768,488155878,91228505,-1,-1,908576695,990333815,257963191,-1,-1,67967796,140876750,-1,-1,-1,833701467,109829165,82768593,-1,-1,823777801,-1,970262353,676868024,952729219,-1,608867950,745186806,583029349,407143518,-1,867101968,227436093,564436015,-1,924269902,478236760,750810386,253116243,-1,570360806,806589048,-1,371478135,958264744,177400422,-1,-1,669992361,86460418,-1,-1,881045100,20777623,940669499,993620867,-1,-1,678965509,-1,-1,76110915,731394088,614015395,576364112,444055201,-1,-1,941783712,816766039,-1,224999757,181320703,-1,711804168,63735115,731461515,843140932,124530146,493570295,-1,886320511,903323176,309896730,544761883,658114718,250387365,8345280,695990404,905583927,83092920,631292157,-1,-1,881960185,-1,731154383,-1,-1,93231960,478488327,505394730,956053760,92411347,-1,-1,210646901,-1,984231538,219325689,-1,-1,-1,585333429,-1,457739684,997146002,-1,-1,937149382,-1,214008607,861215208,-1,133528441,268372592,617482902,452327173,706272397,547991315,629126288,305111866,294554653,687934704,196959020,725477353,882703839,-1,374347025,682051336,254483568,240687205,871817308,-1,-1,254529621,265108046,491718045,236816525,250563153,-1,-1,500587222,400573396,906663091,500411297,778246627,-1,344760716,-1,709758027,631783571,215684887,25037186,225617418,528031805,432735582,101125533,354242659,205442152,-1,28203305,794738087,301514244,371331216,56559108,-1,518178398,821179267,-1,77871274,851561180,801577108,324471364,149456366,-1,-1,294544114,898580679,168929202,-1,215705645,-1,213834743,993857,119567130,653770358,863111921,447092044,163277373,535102899,529844904,789530917,749305020,-1,-1,587629403,498717378,551337638,134264254,280433513,570380048,-1,390406858,863396994,134708168,54765186,701383503,-1,988615450,513755316,-1,121108925,-1,936032691,533209493,523958563,136426205,67837625,352445738,49850517,-1,-1,922482635,748909005,819671092,854730382,346422982,58457394,514351013,-1,407224873,774680549,36337690,152815335,524029719,384955329,789696031,436004543,771128934,400681749,-1,-1,-1,-1,14186575,829960688,195616820,-1,542503929,970344556,-1,202934356,648566283,172898843,156657739,497079870,975093632,-1,488321238,90131701,7134790,133817911,109730425,468458503,861447,104535428,681979377,21494933,222904810,-1,424384948,154534761,-1,134828173,225322039,503638672,-1,822367357,338050309,-1,-1,977911837,247082791,101075770,938247055,491768477,21779567,30983546,793841907,-1,176630740,-1,11488079,148467893,-1,-1,342218334,-1,105897908,994504603,247742387,780206968,-1,707488887,-1,170790692,-1,517159207,98136941,753657685,-1,762446685,376098922,182483210,155885295,163586419,808744478,-1,67569023,-1,-1,288509222,513524814,6857493,523133081,-1,477310763,-1,167400517,830329278,-1,983534527,927677748,846359093,-1,920010919,237953384,103310948,814066111,523004959,98677565,634793564,658723640,562098100,421779351,514816545,-1,104965074,480157020,739545203,449487365,238620310,814357517,851958946,-1,186238715,-1,73467032,876543401,-1,-1,-1,-1,-1,-1,496322591,224179949,442436254,291701569,-1,837633735,673527688,994114043,32024397,637177020,-1,408912004,665713992,490309461,525626137,746374873,784477682,452566116,-1,762009743,245536565,167066036,815500696,998916579,905727818,691291313,649519087,996358219,-1,294093099,657671955,818115771,329446789,662394255,-1,-1,-1,10775674,190109078,716409520,-1,833114972,582824785,643120466,369339318,-1,802166962,101480808,860444077,878147754,-1,53298948,916078346,937013831,-1,145518323,-1,-1,678796120,238877818,933920694,104682078,-1,375233907,769548729,361740128,96607833,100021250,628061298,872903488,-1,17238280,257423330,767460095,-1,709645859,-1,232178182,732062539,257388254,9604506,849114215,804382291,118625724,-1,-1,914119195,823284489,377133120,576002389,668564980,269255282,764303958,-1,687001031,5264955,-1,388459652,-1,219652312,429337788,-1,251785843,-1,251979225,950232554,786096392,-1,-1,156423390,62114267,614340404,570551474,834691032,427379166,755178276,882562109,557984448,861722032,500379257,71382950,-1,-1,-1,-1,204407126,175662830,400934037,339925941,-1,-1,3682351,168543532,647787292,639693151,353679649,-1,890280043,845949858,370439678,-1,401565773,588202628,969552144,383763646,-1,-1,986266632,581564526,-1,625605679,319746841,855145178,-1,255791250,240449257,-1,388109530,756857240,921753739,909661042,837882149,756797044,206522641,421282250,289291059,63145633,-1,788323970,320177255,-1,-1,836948172,302166187,-1,906194222,-1,68033981,415489861,127309621,277432218,-1,-1,-1,821954952,3674535,979954701,406205853,-1,-1,106576214,374853817,-1,-1,-1,643379609,978067986,536182652,383689477,647623068,977044474,769729161,518508891,-1,758350202,894387653,-1,710524640,92267205,438765990,677180799,304458300,266640817,-1,73214040,103793614,927870747,-1,779098070,82296012,829834134,924380306,-1,181864245,554696106,-1,-1,-1,-1,424978728,792398525,-1,591298099,-1,429824770,261601053,630569471,-1,363269800,478454664,-1,621772113,-1,-1,278752117,-1,-1,68028121,-1,381261822,852810123,436329269,945820166,769620059,517602163,-1,627264437,108464791,657727934,410315485,-1,888794290,769255146,338848485,646954042,-1,59811458,-1,110756999,697070604,194281117,283867409,769715380,107422567,918183794,799537425,-1,-1,891369110,695786235,864857345,-1,397044608,-1,708759797,723452377,388513595,573434621,988255701,696188304,-1,609482718,954753855,60907516,203611814,-1,-1,47609229,512653747,419372178,-1,654015330,618553018,584092487,-1,277770598,827219865,241906486,-1,391612134,889364527,459726846,951205584,821246908,-1,-1,766777878,-1,359497268,38971742,747249097,-1,-1,-1,73119751,990691850,508576597,-1,109989119,788206909,-1,137859719,-1,290468915,-1,582775651,735454047,221383307,19955028,943271557,753616405,-1,536379210,969773425,218428192,-1,1963061,-1,-1,738565077,-1,-1,-1,-1,887085584,624859146,-1,142311974,-1,655211575,536067773,860663013,-1,534112754,529194398,-1,810193902,21484648,539881313,-1,461420467,159766709,-1,605079124,362109879,790945273,378493436,252447989,-1,636068701,475105477,-1,474400617,-1,891280002,959664755,410279189,365651109,-1,976990811,254463064,569395796,762782268,333817461,68580111,442867523,-1,90616409,326978895,-1,-1,-1,-1,159698245,149925691,69699788,831520813,-1,510892208,-1,458568166,-1,-1,-1,897486910,256988838,37415056,48415973,72340214,23222518,227442187,-1,688056859,743555961,-1,-1,-1,304458777,800743521,708751943,811381716,372949056,537308449,-1,420642395,55729391,776340533,762224459,-1,-1,484529712,705230070,-1,934847399,-1,719325823,142571414,264977922,751522948,-1,-1,-1,971004735,279799921,874982733,46028190,925640898,246149687,-1,-1,6257728,892369031,-1,578504896,815351022,-1,-1,105782621,-1,744614409,413115554,952748110,499845625,646715472,758589679,-1,-1,-1,914935210,208962672,158964640,852548642,813346288,837183415,784306947,924145817,659385840,860508402,136713927,-1,830835,-1,454680149,-1,-1,-1,402366082,-1,-1,-1,-1,-1,-1,-1,606244410,748035512,492209172,-1,209930666,486954640,962332169,-1,-1,230995046,37995347,-1,548053482,777925683,380573724,-1,550471002,446865718,-1,919021930,-1,51733291,100467160,574717726,-1,425633036,378512722,37885828,646897325,610869257,672293690,739552999,797064727,686888528,463246336,177445045,150368883,941180785,315063871,-1,653460749,959672212,391760482,-1,326642394,5531249,982013804,339082258,-1,295190365,-1,-1,88840952,-1,620347541,847970807,406098887,257431696,156377783,391314948,405475525,272588085,43883055,-1,720256053,-1,-1,280881394,-1,-1,398558403,-1,220753860,933404723,-1,220281244,408474145,-1,794142997,379760356,-1,771709397,433087914,919383109,612041517,-1,981032359,691395475,304086971,943069114,13500742,905798490,-1,-1,346389433,150203327,167047502,671484830,554685458,804208053,7718854,-1,-1,842845254,-1,92193016,118843854,111062184,-1,840596895,67167880,-1,612443164,831652817,-1,-1,294218552,480422303,177788897,892003643,465790727,-1,-1,-1,277455013,-1,648319672,704752550,-1,608716398,346008628,-1,-1,-1,983994368,581440404,509711078,442420338,713312504,320041718,592645078,266316693,305541002,994034221,576256271,144813181,984836,399011254,395348938,13664711,87462600,118188556,-1,-1,299600528,884565195,550814821,782898105,-1,-1,75988640,790876147,360124127,-1,413056142,436105236,138228879,-1,-1,161005351,-1,403897685,937346935,212851296,-1,139019135,-1,949775748,95636998,-1,-1,-1,964566360,354237541,473991845,320807516,-1,-1,264384542,60614135,69220256,832584069,699099180,103938262,156665658,248422498,632173863,515735262,-1,-1,103232816,200279649,92042850,-1,763210502,-1,434158685,-1,-1,-1,-1,83470472,695781757,553295326,-1,-1,-1,169957977,248556560,620405902,112542782,821911359,611880053,676730901,-1,832466903,737752273,-1,655024136,704466538,48749334,868713137,-1,-1,951104261,369678548,866536489,650792789,439600834,204713106,-1,-1,212360340,815454932,-1,-1,-1,214642912,409878680,564787371,-1,-1,289151391,246853084,208632339,-1,17093781,847918269,279993335,-1,934626833,-1,-1,245706286,975031297,629807102,160733992,973566261,35575157,688397803,519757477,944097251,-1,245312763,982904434,-1,255660959,-1,207753292,882990061,82460408,462753329,400890771,-1,717156245,366461876,767492685,-1,777353401,-1,923097841,-1,-1,-1,354375410,451870903,870108210,638039366,965315750,417534640,-1,-1,224734552,386747231,-1,598526145,-1,-1,173242595,525473523,288860,659866555,709079103,683111281,-1,875857216,-1,-1,29415115,301121705,836856122,475144573,-1,300147692,55659229,517310178,717511112,413786690,185849974,-1,442860386,-1,610066598,870727595,501625780,995855400,745741791,843770948,-1,-1,874662441,823049148,823884347,402189735,-1,-1,44627306,105318439,736286214,267516806,-1,-1,-1,210266862,8892561,-1,-1,836974197,970054760,-1,37141364,25766922,-1,185936439,310235822,580177237,-1,582254606,-1,-1,277916640,-1,413665119,-1,-1,-1,770619258,523363791,-1,646472876,-1,-1,571429685,31190936,776488880,-1,145842317,-1,969482485,485118557,851585585,265008494,804826197,629208362,915858849,-1,184225847,204808561,291956264,-1,22701027,-1,763574125,-1,-1,-1,-1,553133486,686699700,491670576,494411895,38244492,1021764,-1,-1,335858606,-1,215368903,627503771,528286945,471598531,638301221,937961410,919524252,200880320,-1,148388121,-1,259830779,-1,750597260,842414610,456285026,705100532,-1,-1,962922914,426520856,21800040,567114684,-1,-1,841403208,-1,-1,-1,173007800,604282342,-1,459354854,-1,145462338,349060770,686217773,737852689,87774598,997152155,219835525,624527118,946550186,44758972,632632844,-1,-1,969452473,941336916,527930556,63396919,-1,36058768,216247498,798395685,649777436,592213864,976470404,-1,600956791,625290926,338090041,813935797,164023609,286535775,-1,131802275,-1,-1,815881201,-1,950450729,708654807,704265643,-1,-1,-1,706783184,701059100,745245482,625570983,297419080,-1,-1,417552160,681757215,-1,12382362,534404483,-1,307946255,-1,396539325,240862618,541690686,391346566,550380069,-1,-1,240598839,999385065,-1,16031314,-1,253955496,11747600,-1,-1,-1,-1,151990491,622278706,-1,-1,84185836,155186992,879965180,794652387,429301623,469429679,875170114,9852009,744626390,521748888,-1,830455864,105210518,180058025,43002765,-1,77839614,776459199,860150645,467983690,-1,969047820,-1,123143431,-1,860625354,5056982,559814315,405245052,260826270,-1,21284247,281871974,630650766,213521402,393039144,288605472,557315143,-1,492119670,745769670,271509639,-1,-1,-1,-1,513171149,-1,-1,749424828,150322738,147912968,-1,744679211,683711768,-1,542679669,279389321,-1,-1,-1,-1,378035738,-1,-1,276740617,945969700,892364601,515046690,709096728,-1,462002958,159958401,-1,935178689,796463487,412313851,583252022,-1,300962861,-1,19737195,648674127,42387244,410119920,163111500,-1,-1,19200392,868271664,-1,155000367,-1,752582131,-1,44627469,803773656,255689202,-1,-1,-1,275345084,-1,808262891,32405723,180983326,673901748,515144395,338572579,660186999,445956480,863574122,718318557,232316295,551927762,-1,-1,868646974,-1,917398377,908055683,325471473,-1,523024461,25108677,475653675,-1,-1,14453876,348901395,470637125,303128500,407678358,756364423,575495463,-1,-1,828098959,646536617,457779129,627110477,382078277,29629348,-1,233589709,283184666,-1,223278175,479293008,854239457,-1,345979598,264918548,303336882,680306392,135353820,624943819,436758300,348370858,111266909,-1,426953189,-1,582837534,455910625,822996461,269925241,195027223,945500345,-1,913343199,-1,127066,88527121,-1,-1,-1,-1,160988197,-1,472247242,259273233,225222687,-1,482771894,470448696,613382,34067314,829766314,894522475,243305618,81912909,282367712,719096728,-1,-1,622915509,-1,753585798,953153114,828505387,102796317,404742798,-1,-1,469496439,974251719,-1,767797214,473029300,336935145,452195865,426081086,-1,529952198,741344904,258776283,-1,-1,137885558,338159184,698765693,693276777,388035407,-1,-1,715283918,196000652,673733299,-1,36651624,-1,-1,31160400,-1,-1,-1,820456460,698146338,-1,926996118,837882602,659428350,153236238,242414114,-1,-1,499616663,-1,-1,976900811,-1,466526087,763625014,-1,-1,319484686,-1,820618102,-1,33164135,-1,177755911,981624855,628730803,945521411,-1,426805047,-1,660716035,754494244,180555981,186032958,254853035,-1,-1,404231203,-1,859266493,-1,387997985,574374514,612175348,-1,341217897,688793584,542401129,-1,242766289,-1,-1,-1,-1,92192771,159409893,472906420,-1,370098834,727626196,151932007,-1,299411170,-1,36619359,-1,165362459,8755603,65503675,110880472,336399777,904154764,553903228,871405653,639528384,815150802,-1,-1,-1,194159937,-1,-1,-1,338977292,270413125,999005282,313210760,952610672,1694559,46657128,742657418,896710473,866868304,393746917,-1,-1,365131448,890469835,701092500,-1,-1,490201751,329900862,824717991,865222117,-1,926991415,445888028,797236806,257265636,325336488,580103309,292288071,254066718,-1,665031432,-1,371084748,-1,-1,305780302,245949824,278227276,66064033,574546681,-1,9354006,-1,-1,299896424,311397132,940364188,-1,181214377,244503759,773567858,823255723,246594106,468634318,966541462,127774873,504830427,778252664,441401041,-1,856900608,389962776,365942981,985200790,383747268,828891936,965448180,365744004,48488335,950856871,608680567,319450124,238517951,134609905,539940847,272046377,93596341,60731654,808890954,-1,-1,-1,915123281,-1,970513170,-1,751464328,-1,843761093,873175140,150511516,437931764,938432328,788285919,4267738,804547064,-1,-1,433787252,238043559,837387727,-1,-1,925183235,-1,671396413,865680488,-1,331190028,834861922,350434565,-1,259335076,-1,191928596,458163980,153029553,441382250,305721168,-1,326139870,-1,158815289,262464603,832883833,-1,526456201,6320492,7677839,-1,168676430,-1,-1,-1,651286666,236188549,-1,890765861,568754736,493728710,209169126,-1,-1,7566549,315127349,642895111,514360861,982801198,574345022,747159365,-1,132561301,-1,-1,531483438,297795214,868884249,-1,-1,648953195,110094553,663079867,444905024,719191242,594268584,776036857,552728797,-1,-1,546450285,-1,372871225,750744331,834592547,351827205,-1,-1,-1,-1,149216829,401871990,405542653,-1,-1,-1,223742326,-1,878162748,345630155,754267665,-1,611373957,208015711,-1,797525055,-1,43173700,-1,708393190,776354791,-1,367271871,891203772,-1,250029945,509783949,984699406,-1,107770238,840778912,382219658,-1,-1,410269667,537204302,-1,176034337,818179492,174508911,-1,-1,354267143,62072823,304996776,-1,589002809,-1,367192286,118938298,446910148,4866639,949295243,556328432,-1,315632664,-1,-1,-1,203643760,95052822,-1,375243188,596712797,448051933,858856168,308261964,622344226,623072973,640858765,146539430,-1,201264388,-1,735715959,831491871,30745576,660657733,718983475,746451525,-1,677133817,-1,-1,856723121,-1,-1,114035476,880602798,740348308,567727314,331674606,621024112,-1,748336996,916719268,116371274,611630369,965647508,-1,590520762,-1,927118157,292708058,-1,-1,-1,412224306,-1,295443500,397521511,206151058,253571513,-1,893138961,127080281,-1,467661237,-1,725868790,-1,-1,686401002,-1,-1,277987319,782450930,104477625,153626262,727053518,675911938,-1,480001001,-1,-1,82820515,468790449,818845341,402715559,-1,-1,890217891,991501213,732895593,-1,458099752,-1,-1,817767370,-1,376012505,844889157,675760416,28197980,183521135,986642968,407373224,674129870,849095032,66639714,-1,561362318,300158142,994814884,-1,699004994,770408418,-1,-1,958086520,323729528,467658381,-1,-1,567807074,84416112,967803905,849565416,115019071,-1,-1,500754158,14312286,132304190,-1,494903874,394081725,392560992,184350542,694983498,473434871,-1,845611311,905132753,-1,-1,238048646,162165626,515967262,700422411,946700520,71504389,752018633,-1,760609823,-1,-1,-1,95257489,344051672,509979040,92842803,23024128,-1,174976751,-1,447938599,927965270,271311197,907129925,839609697,-1,918022932,-1,-1,327399540,372290678,151908724,852952767,-1,522570239,-1,581528897,-1,748867167,275707744,46285123,700527196,224769683,282338281,724336515,-1,-1,-1,288047676,588539328,134527079,43012959,66170589,-1,749235592,-1,202010670,898994890,-1,-1,-1,73525380,-1,221386814,-1,96928038,-1,-1,635021124,421455701,618074488,-1,677875051,-1,-1,-1,561097196,722720673,500419179,-1,839343410,-1,514887626,439378635,23157591,385898058,920884323,769639715,-1,-1,307455226,-1,687869494,507478613,547680736,734362277,800136967,281890729,579149934,207899994,110611086,-1,403582257,-1,-1,427861412,111578918,275660599,-1,-1,806351899,762946631,555219763,843993377,-1,975774938,-1,970934372,-1,210743379,317187047,-1,-1,105733096,454937403,745383457,707907919,383306020,593348202,928943533,678135140,-1,550824337,418936000,-1,-1,908951067,994317557,750426188,663320051,-1,303027526,-1,-1,40886174,967529840,669120740,373234649,-1,-1,331426296,883841328,414911819,146312194,-1,331124720,636326135,-1,727885985,50768905,-1,751910523,-1,-1,210727748,662494990,693453520,863556151,346582865,-1,293209481,-1,594286730,14165335,973457580,-1,182512946,-1,-1,636630582,954803894,-1,-1,927486649,550366449,-1,143443944,-1,215274748,649087864,277837246,-1,389417350,283286929,714196638,276953846,-1,-1,-1,920426272,695107175,-1,129109695,-1,421463027,-1,918601480,17147334,60103842,253493873,-1,899257555,927736508,230838037,812055617,321000009,-1,-1,-1,117976408,-1,150102974,112450331,527829540,388219510,-1,161549899,-1,106546124,494357246,650312372,639720711,34873884,345845023,513321259,221287619,29345461,41541562,-1,-1,446063175,139430616,901174694,44127978,141950105,-1,-1,482737491,350096839,-1,180367521,488971395,-1,-1,419078794,-1,676740788,682614700,525212739,640747423,568107531,426535745,116763814,650819604,397930428,45145898,-1,578187549,346755077,527468540,391116661,-1,225327606,-1,858714963,-1,743437112,527659157,895489741,35566591,-1,980990954,545404126,405887682,404380928,778320940,902976049,936446942,-1,-1,984405386,938647600,53043819,-1,-1,788539343,-1,672170580,239925788,85747706,672387626,-1,626443106,-1,584415077,335004956,-1,807938436,-1,848701386,307798366,-1,540753337,183633393,446708398,972557031,566731446,927554848,-1,681661278,-1,-1,139240827,428671973,380722666,86997584,893283787,978716769,-1,314658556,595644044,-1,-1,200559422,743600971,934132115,257323502,348804004,441035962,864203912,293119735,849004329,-1,-1,351396682,432841474,660009921,792883830,782979685,640240408,-1,-1,765800886,982296883,164033761,100759556,40476493,246032749,-1,-1,284897771,-1,164112237,59411845,628318784,147000755,691699811,743781547,-1,779765563,43353433,-1,647816747,719056149,826628023,893355027,132912955,-1,36753074,-1,508750548,-1,605664743,-1,649214825,683561952,862953827,-1,417150087,575400687,-1,842448069,257290260,875630281,-1,332492431,-1,981540078,143217648,-1,775719688,279879953,107414633,779160775,154239103,288206189,681201307,-1,863240147,240758080,301959290,940271017,430281179,923537669,450865773,-1,123902122,-1,307419097,-1,518560209,260206079,861956403,167795389,424980212,-1,374615724,169150292,-1,565816240,22412715,485400085,-1,326232053,964501825,407758544,842184496,781383209,966074008,124942816,183842147,74393048,716781094,-1,-1,410488438,-1,-1,-1,665470091,124438798,983534242,260793086,357240794,-1,147844457,125316098,193777931,-1,532493174,-1,7301235,111545658,374784312,-1,-1,530866547,446470141,-1,128077908,-1,423994544,609297531,326161336,463808174,-1,324407172,681661345,549329791,-1,-1,744391791,73441587,-1,919442689,137752160,703516068,-1,-1,711612581,682095502,85887352,-1,566009341,665869342,381642917,703430425,189173628,-1,158665889,-1,442289637,230214504,85278594,704921289,38202314,-1,920033829,804853488,477458495,-1,965222591,662690633,20906697,305669675,-1,62864729,-1,-1,722932576,-1,738230963,-1,815911103,741216129,-1,282442685,920267894,881473167,7092499,115216598,756732100,622940815,-1,146786848,-1,-1,-1,176543244,34307726,513041801,-1,-1,479899773,-1,332151993,424058513,948640436,253167658,295572488,-1,180164485,618271057,838216299,-1,-1,-1,622102515,-1,136883007,-1,528938109,-1,399726192,-1,-1,827028267,742291554,-1,175434815,507425374,332835428,669067573,-1,479023025,639948643,512617137,858706094,355656386,121065523,-1,553354360,-1,571356969,194837504,45137363,-1,270456702,241513113,199390743,557486700,-1,-1,-1,704579678,-1,324580940,513964111,248634960,-1,62666135,-1,445357452,-1,837396479,177527661,513503363,256379452,-1,-1,389154641,216266499,-1,132124994,-1,10919604,872411998,868899660,911448976,412189515,762063439,426814582,804934987,43613963,219310657,794354226,312533378,911778398,573384477,97279830,527003007,-1,514847702,526110082,-1,854638544,-1,53849408,872805581,143810845,-1,972762968,25959278,848716755,762490428,-1,928934273,-1,388463905,14115583,402566345,150022349,5584724,-1,13095130,275336458,371158245,-1,470200063,-1,580608462,820113483,-1,-1,538209473,484442243,-1,280867292,513201795,688345870,662752910,-1,-1,-1,442558988,-1,880987567,976308166,-1,-1,-1,-1,834555548,656840103,-1,-1,423521293,56944044,-1,689742653,937032543,343791972,755073639,349101674,478704107,197137925,274465396,-1,825883738,-1,-1,866256174,65099325,994902344,-1,561660684,-1,899949575,290401734,154749176,-1,478992773,557138092,-1,625018375,-1,521481054,289181826,132828780,-1,288368245,907790615,-1,999307374,533423580,345755343,417622557,172714958,207300256,216879013,556419055,-1,105710440,509192012,199585231,-1,422786635,486604168,269292553,67755384,254016082,71258440,212570000,513194761,-1,-1,426050674,-1,744438161,378063063,38234340,-1,-1,612435315,536528106,950151991,891236641,728223194,153362185,366225659,239737599,235016943,893155099,948796243,323431954,-1,452454511,412684845,707109096,918400356,-1,790522526,685650596,788217131,238250120,769630652,-1,253618781,-1,-1,-1,515777438,177373247,408854307,-1,-1,325348893,671189182,-1,-1,328349850,-1,603169000,990927278,53321373,-1,55391492,-1,667558914,494202175,419982012,262062966,-1,-1,305728299,-1,678373633,977386055,895428317,270349773,165461662,690838911,516741495,659792400,769181857,870046455,-1,880128010,902869849,-1,520247229,275468399,817062087,-1,-1,931260872,204329077,983837835,-1,230416666,-1,322082207,671622584,728435048,596181303,732191988,-1,-1,-1,598757616,392771777,984409002,30045481,23336788,979446341,-1,-1,66378779,-1,509404311,-1,-1,475557361,361813423,786522008,827318841,974468425,272878889,417116030,59073645,493292738,-1,-1,315512057,958471618,495723369,613799858,50755489,363773148,-1,750818282,623649245,705936007,296325624,-1,387000954,413832201,-1,430826677,-1,214022840,880550606,68917336,438484899,695863089,435731904,690200137,470251787,885879811,374982408,562448806,969851915,629938826,224707426,854426970,652990881,498320325,51592552,419088061,-1,606370044,-1,482607927,271791669,401747062,468195661,-1,-1,968315302,658831673,732195710,-1,-1,358621201,184583548,-1,213182423,948392754,100899758,635133900,745487911,639052402,969486228,406810358,967739788,594823950,88129243,884475512,367897605,134642061,265213675,953350700,718504842,593114464,306838600,947954981,733403471,-1,-1,295179398,161547661,745148062,14731913,986224636,381629232,666936590,525862693,733204028,158169631,697440858,336686589,513968629,-1,-1,764184354,579038444,759589799,660681946,351915107,755507011,-1,-1,751055206,-1,237955430,424646045,555872502,821248900,567557267,557170332,-1,854663649,798880456,-1,645611923,906226116,243703739,241927765,-1,458191950,-1,235097824,-1,452952092,-1,565815714,-1,111005529,819352966,792829765,237940705,855629494,306309775,16707124,-1,701693910,225918984,373352537,322890071,957014244,48327356,829323120,409060067,309573677,-1,-1,-1,832170669,414509601,670629062,87288415,215730049,478395312,168187224,868321970,640151188,-1,282815525,194339364,273461466,372443511,-1,132350688,-1,52153831,678824680,24985997,-1,531772428,60346276,521784481,902318061,-1,-1,-1,841376431,761838156,285177893,200368918,-1,-1,224174125,-1,579477112,684551894,-1,624077949,-1,-1,-1,-1,-1,-1,318307740,-1,-1,524888532,206042421,693370545,750004139,277747712,502630456,192049948,262141064,9193407,830835739,-1,-1,796069601,-1,-1,-1,573140607,-1,829387395,674540821,-1,762492247,292831769,168008511,753257917,-1,135744779,-1,-1,-1,878109656,-1,599796296,-1,1917207,873295348,437481337,812798494,644658051,131721236,-1,-1,127048188,-1,-1,166462115,823599130,796559261,448216558,-1,728886679,-1,743755144,-1,329991020,69228329,228416802,267406284,922886747,881562528,-1,-1,888897245,-1,374707037,131186566,571792133,403590379,-1,918028033,461285339,679084560,24310191,730582515,878265276,603110906,350150198,859221741,874262523,-1,-1,-1,-1,436932591,377558693,941288648,-1,341234987,-1,654331083,699020870,940501857,-1,39549353,245911986,-1,763257906,724817500,855022145,638594708,-1,461613199,701557858,397171092,230393939,614113739,923374082,938814211,13643886,-1,-1,412677097,-1,-1,129696828,586371875,397429611,677285972,679188886,423661392,851450105,919865485,-1,948711727,-1,622148154,626530124,194977531,-1,-1,935364431,-1,249590289,624709610,796137316,-1,834556423,247441213,699751072,995844798,23275773,872262649,183505696,-1,-1,348409755,999545434,-1,263468658,563463607,479007661,985701119,448162511,562662280,-1,394748148,92047036,937719218,933104512,480151310,-1,37921190,308086932,434034950,-1,-1,447630711,96041623,-1,777469594,541732282,-1,493862022,514921370,962073445,828988023,20310197,478315151,38763203,66504173,259775485,120706409,299811796,972511907,933644872,281083133,740614235,763714633,-1,966235984,894090720,-1,24984568,960986322,662956220,-1,785997814,-1,-1,191919964,877299898,560598165,881788393,443935674,38297159,357117596,-1,918358378,839323649,42615371,-1,189418421,-1,183712623,829048865,-1,967881312,383352354,523591605,-1,-1,-1,903512710,-1,-1,-1,-1,866424530,892926362,38034686,-1,162702340,329693346,411111104,267319643,750360888,347895160,-1,399135004,297188698,-1,266753522,337042990,535070692,745303504,177403243,796088277,-1,-1,269857843,144278756,341603488,380587242,93013195,634924398,-1,952331553,189152432,111194893,985732875,878785929,-1,625296701,885203169,100867349,123183545,874178554,970342205,743742218,332959525,-1,650159535,-1,937527170,-1,334346053,820520072,-1,821683650,564044087,-1,585427240,257367940,-1,84783674,892188976,824490245,-1,-1,-1,572763720,-1,-1,329387936,-1,13819675,303421786,179976703,658564999,704726537,-1,827464457,292919050,528415866,438529123,-1,-1,-1,721209672,860692231,597655117,319772215,183126173,198875004,-1,805007671,809165427,403122088,748462648,489048000,399078920,200569585,224360510,380872174,111047237,672762514,27989334,299750490,287132813,526716921,-1,626513231,-1,615358765,240680887,91039707,814902355,-1,-1,45638823,-1,983198021,-1,469330911,784456117,-1,792271037,60660732,-1,909382815,-1,567650909,228156865,-1,528550565,527619297,98961646,230557288,-1,28577615,809525474,652570178,623867656,-1,388248027,433049809,146987768,863574241,-1,5387282,464340506,96590029,817937846,554737706,642750291,-1,111188552,795004600,-1,797887533,304958575,991212847,19394192,666518553,-1,-1,822338707,872023234,234434142,881473464,46470678,-1,-1,830899611,513993187,306946245,303350225,-1,72868160,224559545,613431146,-1,-1,149614126,445666103,933513658,266104357,532076835,260134434,-1,686936276,-1,376240318,-1,83420897,355176913,637654996,-1,971831076,51313254,650381835,143428243,-1,971859046,864279184,-1,-1,-1,-1,694734375,226760714,-1,704309283,858446820,526185850,503074105,-1,871402300,128100860,675014797,115443574,712212163,962468008,-1,148130952,951601248,-1,370831855,103097966,-1,912392095,24591924,221202910,-1,430970249,-1,-1,891518236,950501909,92259859,831800541,214327631,796730553,582862729,913754928,-1,489233107,689340404,260229040,569575413,-1,174573091,964025939,634192434,913576223,529528955,83961667,5828905,-1,54167768,460654474,723127228,99487070,-1,948625260,-1,-1,902704132,268388388,662126673,967889474,676003802,994806318,-1,652787503,-1,173230418,515862232,-1,794707752,655259822,699754149,-1,432481632,-1,-1,-1,246219949,-1,263829562,952564445,634494551,866693253,200789535,-1,-1,853112798,511285376,-1,20687036,467434014,680219668,705599316,318912763,-1,693264554,217596904,820550689,-1,695975870,11388859,388361297,52352503,706377233,69662503,-1,209806050,-1,-1,868381869,-1,996589733,377754511,-1,-1,741036800,-1,-1,-1,294678349,-1,-1,644094048,659648639,238423681,440933931,931884606,-1,392793063,-1,459229397,301384532,479013022,528834466,343358110,631854505,-1,-1,379317578,147489279,842914903,326512247,771831535,776321567,438327540,231614048,334755909,97754660,-1,544493269,788947042,-1,704116731,771441566,30627532,108065539,-1,-1,437008370,-1,180783831,-1,724578572,44100118,722304449,741203340,25147992,457649173,-1,416717863,-1,242220428,-1,-1,989824969,-1,952441847,708870524,528061710,-1,388544204,103521738,707259918,567821924,97185069,-1,227775699,498970697,606176304,583682955,914981773,-1,-1,-1,232284824,425371510,203697025,128582580,-1,378756498,682127848,463713565,193858914,31769762,673157387,782401377,161154007,-1,469822179,-1,-1,817769649,-1,-1,-1,996227269,348716049,683951630,844462939,-1,840204071,360786643,945995172,160302494,772288679,-1,-1,166129522,17427200,100484441,753306794,150248946,540414914,-1,-1,453416995,357775220,-1,840116584,-1,179339422,-1,-1,-1,267421019,773542375,632622996,667718933,223568329,31260281,95691860,713855122,684477021,-1,-1,80866832,752672604,741666894,503916337,-1,528356851,-1,610451666,-1,-1,442028106,-1,747588206,689889096,-1,534510271,983164679,-1,64929423,-1,-1,770767997,182750650,970347003,-1,173374219,-1,-1,54628319,-1,69947019,-1,792097827,558562875,-1,695152695,686556189,404518219,24025124,324568212,287647309,326497708,842535867,739354190,599844946,363265772,131455969,932112229,567597462,417534747,-1,802379377,581303017,-1,-1,808937921,-1,747781434,-1,-1,-1,-1,682876736,439355251,-1,632941341,185150769,38699779,-1,361067658,-1,616161693,799617727,-1,508885231,952362631,548235261,-1,433726436,-1,205504235,-1,-1,-1,916302128,472922317,207689014,620891763,-1,381946477,318135211,292867763,489734471,-1,547790078,988923200,-1,368046134,814772507,264745840,909373025,320523824,-1,-1,187275322,-1,996228495,29312587,-1,378644600,195727535,-1,759749703,-1,565245304,-1,-1,-1,788558637,956840009,176267772,175202756,-1,423726444,960365558,984867448,-1,-1,385895607,-1,17883543,749822404,935340459,848465591,48296106,893906628,731315422,-1,749745615,-1,-1,206402631,242967753,306998147,180730474,230589926,-1,168357061,557878124,855239625,565404441,-1,318467451,-1,-1,337227791,-1,132621913,50168426,-1,-1,143860794,902182741,732889894,579595719,128304782,621895399,-1,399770150,382245778,673665629,549718145,360582725,975208921,783012208,-1,384590045,117260136,854420537,938327832,-1,575140634,-1,344884426,714433266,383250238,706559534,349483403,112710451,-1,-1,-1,916523979,280895995,931195935,597451645,-1,359007094,177233805,977559771,656321416,-1,179557444,132549967,-1,-1,-1,146192677,-1,785286349,609534687,-1,784550865,348944426,934775643,933028783,430171905,835010517,118215872,-1,681695835,977150178,620397445,112551397,-1,520391080,890904710,-1,325815902,217131156,968855167,660027384,179311195,924857642,471797494,661962643,-1,65966738,720883671,178316497,-1,407628659,731762869,-1,445647407,754959703,-1,-1,920389939,533607723,-1,543054245,947537839,-1,-1,533490888,726569586,254772602,654263049,959574823,372878281,827162022,-1,-1,-1,637269842,-1,827456941,-1,897133769,35220437,-1,472073184,951877376,887567135,776259662,530408146,-1,-1,-1,237076558,695190777,-1,896453358,689767711,73466748,90835358,-1,-1,488073786,449351649,162735624,949518741,-1,974274306,958909581,139928315,568252660,537271710,459476719,-1,967762284,159192599,227899805,180564331,-1,776841255,976047724,623162479,-1,570433802,-1,634654006,323006577,-1,582458799,-1,280572582,468566343,336563658,-1,-1,-1,776544338,99217782,728779022,491074726,242577126,467457331,284448209,529853974,-1,-1,-1,365523242,764715792,673980922,222890193,191368892,764169431,191081901,-1,-1,487096859,988371537,-1,244803584,-1,996261897,-1,-1,761911160,-1,-1,607683844,434695014,294049520,346199399,853931516,50545593,654087772,-1,552569591,-1,803670000,420616799,296421666,814060141,-1,-1,901929464,-1,-1,100749188,615645760,239226726,-1,640424843,-1,-1,-1,553702913,938373262,-1,70009383,617324902,-1,159626956,317799792,380943765,455468104,-1,135822661,-1,241253317,38405462,978546154,239955290,715012471,221707256,194966100,536943863,44587130,19010425,-1,-1,850677823,147434376,183997756,376130634,739658274,216701088,-1,222277836,556243372,171607751,-1,-1,924000109,-1,817695987,105202155,-1,-1,775247701,379911914,872227122,423774907,-1,-1,-1,-1,-1,979832286,885183960,-1,26477087,-1,967071226,-1,269897817,773401545,310130739,361807190,-1,-1,-1,934755150,326446190,809502337,-1,-1,69175656,220335930,912471252,-1,438298636,-1,364838584,-1,-1,322638966,774955309,-1,732379473,471243633,-1,127342644,952857510,375130081,-1,330784123,499734017,956127727,-1,368327985,780212521,-1,-1,424830833,-1,235057601,594231767,730103085,-1,977142678,576819458,176298060,761296651,989473264,-1,727621233,802611410,-1,-1,512035777,625840203,-1,116667670,852977216,635457799,845569889,494457586,479917079,-1,570050375,451318712,367015124,30383691,507913199,537750691,99706670,208370702,640930636,999203570,82451251,736328861,164910448,745264030,616915434,903718902,-1,453646696,920884993,260887024,638796270,841901657,-1,370640963,-1,-1,-1,-1,953452640,746083024,2140635,153707530,-1,-1,-1,741973612,962846528,642472108,198473235,-1,642971955,488064829,112777660,927682416,976040351,506126085,230745956,-1,309908354,-1,854211421,454660962,-1,665019143,918057830,282665824,915473307,559223081,428171227,812642739,156224907,347737150,412681794,242961935,316003194,-1,-1,-1,617964883,984530913,921137843,222725325,817518357,-1,993245612,-1,519702740,910643741,134971557,74357929,6610081,-1,198382265,-1,-1,-1,634581093,280359788,-1,906320785,95844968,-1,-1,-1,128173250,179313635,527375402,517991642,637872271,274538834,-1,242839729,42075392,-1,823927261,99846310,-1,804764723,223860871,-1,797472712,588391915,615820276,798569767,18780438,999076436,272641248,-1,-1,772358997,-1,548056948,497827380,211420529,772104871,529394130,563097119,339822308,282928034,670858436,115151039,541401230,814953090,685081386,220766019,112583281,554541354,735231643,443930298,442692434,737606393,982261348,-1,-1,77880083,160165715,914045762,-1,843413478,556087189,860044489,506482845,319083546,757481933,229439998,590209050,535703858,7185257,415240423,466779151,421063887,540916381,910517854,745696909,8736521,476094737,276107095,106750842,357621799,-1,129036324,955146955,990808015,653585912,-1,571684513,649659907,658927166,-1,338636704,748365641,-1,-1,30239734,-1,910877782,-1,-1,-1,-1,-1,842587963,451339400,385659715,559248187,156177415,407328343,-1,299398843,352669868,763852355,377309149,889850387,122847681,907846223,986042112,-1,651355665,900639044,590939935,537281668,-1,505410128,-1,700686967,594941032,429483007,73221849,57104714,526151128,885326896,-1,-1,161609386,-1,255521560,949160270,980709738,18186654,-1,-1,347880196,-1,901220294,702019045,-1,633447851,674597948,-1,-1,353157974,-1,187832215,617148138,318501090,658961422,131726514,490665802,-1,290975750,413277679,427464180,660170478,-1,802745420,-1,232991921,438409680,-1,881815528,-1,588767317,252961103,277975670,-1,-1,-1,596394692,578784481,-1,-1,991103755,472562111,776536752,71867614,-1,222935424,407781090,319283622,942404898,82517568,-1,919472324,364948511,284795021,90386368,888376686,967780291,-1,399080246,135157926,790962489,772426826,-1,-1,-1,30409278,-1,-1,744506683,273571312,505924621,-1,313464447,861111556,208782942,906121833,50703329,-1,-1,234131319,-1,675803104,-1,-1,-1,719537998,227926454,354379067,532212135,-1,879549152,559016551,931800170,-1,-1,383562786,843719969,496491187,599812439,267850923,895730970,774310926,837648648,751028510,-1,891540003,796422216,688460949,99185054,95962646,-1,605830323,403155954,-1,-1,585637343,944574026,569798676,-1,760330897,-1,905551903,315363587,931496798,562918505,-1,-1,621799043,699058437,785264006,-1,315744808,159722191,221726928,347998149,348365446,-1,-1,-1,827844481,556845703,-1,-1,345437872,28003616,-1,613994427,-1,982885499,807208087,56012312,-1,246905232,857123688,175697861,887749093,310848219,149168813,341068701,24433939,464638845,-1,-1,390070745,623521498,-1,-1,519148733,844198159,-1,114137685,-1,423722064,-1,294608671,797478752,596159488,77746265,-1,545239665,365040456,210723131,-1,-1,-1,913481295,703748017,193369290,-1,693670579,-1,393770313,-1,637623644,852919703,-1,720735202,-1,929728406,128003335,-1,186608926,589005814,-1,555977711,-1,-1,-1,843164362,85666889,443089906,-1,92367179,34664650,948354359,485575898,615894390,543816217,-1,321032554,-1,281734466,866042279,-1,686323472,-1,952967566,-1,942925041,-1,82564470,-1,979128941,-1,789665248,943939477,330724000,-1,-1,276477545,-1,262261167,166338618,-1,416707378,916713454,58109803,628499117,514506758,507125486,47420673,241383826,486325588,-1,186781571,91103673,-1,198855370,-1,437574592,929136482,-1,-1,435345708,713074702,152741965,674940915,969932146,-1,24777574,592695927,-1,-1,-1,193356503,-1,197117926,-1,259327978,-1,-1,817322876,643929492,624213777,374000874,771166910,223691357,-1,719157914,542416018,379364157,44556988,322792189,724000860,400187660,7545136,957635935,71836984,452999652,-1,452504941,922959756,451471441,-1,618487744,463187419,63109094,301033724,-1,802179197,776416254,-1,287704373,514985981,767306436,64243974,533498830,4545849,-1,225814264,22964258,800980369,696084715,331861401,858554905,-1,-1,-1,96774222,34176436,-1,-1,570095863,196932620,158622637,-1,-1,417494016,-1,856266561,605262973,641205208,-1,194618055,18507986,-1,428045856,-1,239436327,534548295,447995137,502252952,276640662,271462362,794811984,657460800,350740538,693527745,-1,967807479,-1,794837127,120240161,432184907,624894925,954157957,-1,-1,331429221,-1,597897212,844130357,982071035,-1,511316995,939664566,739427674,503317939,387902653,-1,-1,-1,65320246,439253606,411251808,-1,364491547,936364746,501499914,382510386,733397803,541347406,558942940,919471069,525480591,-1,-1,90589509,847332368,-1,118346744,699453541,-1,808542581,-1,23196776,-1,-1,749796329,306509906,997791880,952223505,408835065,182100357,-1,174116455,96171770,203715024,227332350,845788985,867072616,-1,768798397,-1,48400460,264901629,115195441,-1,-1,242835433,-1,795745305,927307795,895580840,105492377,477144754,945564785,366362665,302128431,-1,487212159,-1,-1,-1,455883941,844939767,519201710,320810524,-1,21907696,707499699,950653665,255477563,586272443,-1,674301953,930740570,-1,821963696,850940675,339864088,528526562,951968056,943184718,-1,-1,-1,14841652,-1,-1,-1,498342036,724925389,329853653,-1,-1,305662426,183842887,-1,436348305,247546602,322314766,332539890,178592396,72847623,461589282,-1,274973900,-1,943059521,571849390,381707414,-1,653820356,-1,-1,-1,54408191,568491531,644863259,231819239,236427958,-1,742724493,558330453,725689583,-1,829196649,277656836,-1,172574741,500614282,-1,261845800,73513093,-1,870487078,-1,-1,918286664,137557623,-1,918761905,257748609,440490728,-1,557982842,-1,758302865,-1,344296214,211847757,989656712,572746865,-1,740368875,149806209,498768224,-1,266553784,28554407,532830684,958139149,60248454,362426909,509389248,233718975,-1,-1,615038318,449572676,308491322,-1,896520506,165826229,685964231,468502849,-1,436054587,288711566,-1,881965290,334351639,-1,103904413,445661055,236214514,659993260,-1,164873310,183074043,-1,902404258,22371287,-1,595610980,52348324,14095254,346476596,137719365,584821124,882971568,-1,581367714,676151003,580263761,-1,-1,235208345,455055971,520441235,169923782,-1,-1,140323049,-1,-1,-1,762010331,503367094,729834265,204769117,-1,917244729,794890179,105976981,321406498,676709308,-1,937703770,75319267,-1,16659913,682243874,123591909,899154376,841978218,-1,-1,875489482,294598352,634068089,-1,-1,-1,199670193,34770214,120460523,-1,214955665,562499553,741807970,173636350,-1,55237024,703874545,-1,-1,46852638,80756980,91528856,419536358,913549964,928406534,877384686,61825041,-1,-1,-1,580210844,62831905,375201520,-1,990935078,483481021,26147798,-1,980514563,660298951,-1,924378738,140539516,81113233,-1,545457709,108569078,22028110,-1,233975451,38006949,613371235,58798833,98654372,935300811,-1,55945409,78373282,-1,850585726,907324776,137813999,-1,656459945,595157584,-1,819108170,-1,542415816,433110931,47034696,105705998,643419959,993236270,485222917,135836763,540240720,492266006,827607440,634067802,-1,776861775,496920966,293499528,563234454,-1,-1,300254662,-1,829791792,215689583,128728367,-1,-1,996621154,588637854,-1,-1,77374675,621714180,896789512,433517526,274433834,510858049,842162462,503485764,634925763,967949456,684283995,781010770,-1,951214809,199278181,17446460,48157959,305296647,667316236,-1,-1,563490628,-1,32273607,-1,292882243,108297569,-1,32585460,-1,2080989,14885713,-1,312260914,791724342,268241006,717293229,714648760,-1,539035927,916981767,370600266,997239166,289712261,-1,-1,676986260,746217256,-1,-1,483988726,-1,-1,585089695,700129658,-1,244853017,-1,404076260,595299731,534790521,75373834,195692392,583830363,-1,310469169,973263840,938083715,-1,182655356,-1,-1,-1,341139602,741821745,-1,836395263,-1,491390180,443586501,298632064,272397052,528990095,273779615,942722287,340517583,174453747,-1,530874817,401966263,324916122,132303301,484189459,882130867,-1,-1,-1,613680977,919315698,765885418,590939017,-1,278278380,346883999,456871128,60739051,565501462,593807266,897759405,803114631,308984555,647621140,-1,-1,691325414,512199943,829087606,194048162,-1,124591550,640615051,-1,465654775,-1,-1,330668948,238842579,982923829,566489924,253316689,935722798,463108245,474249896,988787250,71024315,536861797,403701144,9086635,-1,813964015,-1,-1,405274408,71805351,-1,-1,-1,661602707,393831646,-1,696211671,833303850,-1,-1,110877875,42480834,-1,596924426,-1,345623218,-1,622619926,396664861,830611533,6398155,447941322,-1,-1,943856787,-1,501723678,913341122,404526762,-1,425240605,357599592,-1,503202438,282865950,905434714,954865423,-1,-1,585884497,572783195,727734831,158551983,523310296,185002636,804463186,419823529,497570089,906826636,298261693,271882453,429404699,-1,-1,-1,435454326,427002412,-1,950972907,550569987,-1,881341846,-1,24369315,-1,-1,976039423,399431310,364236052,-1,959600787,649990118,837727874,343309914,66569630,670996330,-1,587620750,150411013,-1,637179281,853621935,479162953,849303241,23403193,107306485,538300415,749563080,486881938,-1,148738498,260019491,-1,28849086,627113918,651803906,-1,538329280,724196188,509191865,-1,520916947,571222418,377075930,706734040,904943961,986314697,735020963,293759642,382442665,909115763,670382283,-1,196822418,312603406,-1,741356382,197928057,558242228,-1,833942455,60478597,-1,-1,-1,238719451,21585828,-1,420293002,96719084,-1,152261167,-1,934601068,-1,516128018,-1,-1,231624333,-1,281288655,979433378,541490568,436844139,-1,684163283,2078314,692513417,712128486,228042722,39026348,-1,905375958,245829884,830432119,417429281,592435782,37603521,868849283,-1,864329550,934706043,486464406,921113331,910467435,-1,-1,269173298,967426297,-1,271875123,470012912,881548754,638797590,567519179,866044934,946197879,816335102,707284392,952088586,830405068,313949873,-1,378567010,790006418,243598362,-1,108166233,-1,102855382,263934005,492992849,992955939,389607530,-1,153762108,595400725,172972800,-1,248005080,250272179,694883647,932967481,132012882,257256437,283717046,864791693,14913856,929080508,-1,-1,970650934,634274833,362581701,430929661,443759967,-1,39959600,-1,716839699,842778372,851220922,136200582,-1,570962173,38325513,-1,221156852,-1,143519245,-1,694220111,534192054,302984276,-1,216587549,296982987,894541799,144750422,395852096,-1,119928920,231819916,-1,555859982,816387304,-1,-1,318196913,853140125,19517643,236233173,-1,102732914,971764453,-1,-1,271054105,958326420,539408411,268753839,-1,-1,195156494,175028921,-1,621186453,120998562,979583277,-1,292690127,686091664,-1,910850155,242255775,362330019,-1,469386462,933445588,207613449,-1,232632679,922713117,-1,360286866,198568763,301212678,393749293,-1,802913992,-1,-1,-1,686440296,394726137,-1,73065616,113093239,-1,-1,338565968,814188767,519184534,-1,404473140,267664316,232741312,-1,804925295,260933432,1913090,-1,980340414,40361345,405275023,462069464,930774147,258538947,483844792,664698630,-1,-1,545373389,-1,740718941,-1,-1,489431835,-1,65452344,-1,64363985,585316641,355220728,249861640,-1,351725930,644615511,628418648,-1,-1,-1,320942898,85449676,687968444,328567150,-1,964180271,-1,398110271,720780917,457502353,579901541,-1,742068599,-1,425610452,-1,553755597,865322792,551552724,-1,-1,938709325,231162084,-1,634961788,-1,-1,-1,-1,-1,989880374,639597446,-1,-1,630281867,536240160,-1,949386623,-1,834953583,-1,470497247,984723548,972779698,423581862,679830250,748845724,538713445,150901472,-1,333886292,28342426,812595143,908338994,388516659,-1,694406508,835641596,-1,706423625,45860826,657339459,911734236,930755109,460857215,478940183,-1,100260929,-1,865806988,763074149,265866480,-1,179047059,404538442,483272551,989309263,-1,955802200,76305074,-1,739452784,702610943,3637536,153475975,772628668,38767977,-1,155406903,368355552,778145869,346757657,673944533,653806784,-1,286019144,-1,145910623,986666075,583656891,204864506,-1,103601511,545464150,523921857,229540547,829189728,248622435,-1,-1,631194906,997940452,-1,354961308,-1,-1,316983764,-1,846869030,766758946,492106625,41984981,865036940,-1,-1,44093559,469193392,-1,526286928,450262218,256795452,733941465,977498161,928142260,328513018,-1,408447020,-1,782491313,57660611,833805208,-1,509991757,-1,846214392,468556546,342211257,-1,-1,919200023,473949949,-1,-1,626623303,915043358,369282286,-1,-1,-1,-1,622140715,214280187,156391382,-1,278192098,282373262,635497854,423285615,-1,-1,501730970,-1,780507803,11245113,80903024,375783697,-1,736352779,577148919,101671501,61549536,174480575,-1,-1,754069731,-1,-1,120834369,608667767,-1,454037541,904727456,436655253,-1,-1,10220836,709198746,-1,-1,819709933,826357336,962961350,383773559,695107756,606177847,-1,542005852,365254383,-1,285479074,539677211,422772514,40190171,269212620,-1,485402992,895367571,-1,216973858,642878715,-1,597407225,992768095,180678553,-1,173313796,676367105,246208729,-1,366777769,971884598,225216845,-1,414353452,523748678,787733748,-1,-1,-1,303510036,-1,783569234,74958648,907802560,663066574,946538584,950031670,146122030,214398788,-1,338896423,818964469,459783821,530834149,-1,282468483,8125481,-1,529204910,523813105,776080419,765306548,840936082,-1,-1,834492041,542056232,-1,103664469,839226173,-1,105359024,340257289,343110563,-1,690455916,-1,-1,-1,519589088,811837973,836158083,-1,389889727,-1,746832595,91336040,955137042,954693688,471324880,899051578,211264002,-1,25950855,878413995,-1,642660326,-1,847323089,927725963,-1,306144925,-1,259269727,101108465,741831218,965220699,725455180,-1,891510531,-1,-1,409959612,-1,790877895,634195420,380299084,704245377,-1,792542427,471861079,644086729,369132075,-1,808678352,-1,719932745,854201241,888009006,-1,150997366,243262672,-1,66916149,814502463,-1,804103164,356671377,-1,20732694,500983036,-1,639955243,128025095,-1,212718697,663700415,172188,760153474,821824762,-1,-1,155599242,-1,911877372,692907498,178254292,878155434,456456832,901832995,659349579,967242323,-1,641733809,329068269,78687375,-1,540981254,486166871,-1,780764166,717471384,867918901,872533552,993510851,167305884,159029579,748719718,6579240,499015745,709337253,30782726,471446233,153397983,762385485,241753886,887378553,893158058,764652411,-1,-1,-1,-1,118763095,118978838,265816127,267281813,678498331,123538421,-1,573209112,514013482,760104448,127956632,-1,-1,590063378,62852233,-1,440590412,830810780,398378909,395323411,-1,-1,-1,329157854,973380148,-1,51854831,575157111,896703807,619940920,704793217,34624632,-1,-1,975683712,772631252,116793683,-1,-1,63622679,205291346,821231152,704950232,633910385,867886433,291259544,938308880,320021762,-1,747971503,-1,-1,-1,469705802,51230556,540016001,435373133,822842253,805053624,937537945,585462976,779274240,77373539,196852788,821890306,545461582,835736404,706373803,-1,-1,400115697,69266419,-1,457270802,269137808,79962976,663370424,135400731,726600079,-1,480270497,247155298,912432074,796358139,39643240,-1,-1,-1,204640987,310460296,-1,137377062,680650347,770527850,851679500,699565551,-1,496530600,145631248,-1,771502074,557134763,901858633,-1,977816558,706926546,-1,998755297,833147581,-1,570148662,-1,-1,659845902,-1,-1,-1,-1,-1,-1,-1,538592926,509453962,600872983,698054143,638959993,41950618,768665180,929980200,117509814,222649359,351818783,387903403,-1,929567911,866200752,440164707,561101134,361367951,780603892,375823186,-1,-1,549306039,-1,-1,388612193,412796567,430316656,-1,-1,-1,-1,797232808,41947292,869047597,334646516,754854482,-1,248947972,792217488,402130590,843205493,300396535,-1,-1,-1,359612410,860541539,215990495,616246998,107731030,7374843,987257202,-1,635952847,-1,903261801,-1,629345314,64370493,399357821,760240667,644984459,-1,299719000,-1,681017414,-1,203444431,139806000,431859099,757378528,403564509,789678443,905335019,629146738,862134451,-1,933772722,195184756,293839582,461615643,893488469,263826077,574731492,806133863,745136384,-1,-1,719194626,505301805,722607547,734129665,591209731,107718253,252223749,568245471,778996369,87101463,48984248,762976538,357471943,31874100,368271807,-1,468661936,538038497,-1,232184542,-1,756807537,480647925,121292555,-1,2557495,253037336,-1,927626344,140449023,118889980,266334380,322303553,602077306,332849459,358940450,413880633,-1,721771227,-1,310767056,770571670,683981113,843507453,595525836,-1,585492584,192875470,640865483,183473462,258146021,953626310,448755180,-1,223306295,944871109,931285131,926653211,996466826,225143102,792598699,770011243,684263012,-1,188749911,858527184,633734199,-1,389366965,-1,136651057,891587314,765315363,-1,-1,-1,216966993,163158871,170183894,584117747,-1,831873864,465409620,-1,-1,952049121,379857485,79623305,451700355,-1,-1,641777183,30532010,194398162,151876291,-1,938402560,-1,824021078,844411540,916017298,-1,579792645,851306956,341339498,399710231,465962988,130669143,448468185,641657398,-1,563543548,768566334,515814129,394146756,-1,526676051,-1,269587313,59311167,934053453,640105149,302505412,-1,-1,118789538,397958101,-1,959813364,-1,946928922,156032523,89972741,567736091,965529653,964290124,917927677,847714342,-1,-1,97322451,661099788,-1,749463038,-1,715430179,765622925,247666945,-1,836765983,343631921,876726901,627912023,423195419,441839707,-1,-1,-1,517732701,59216600,709787537,-1,570303107,631887364,349783969,248345684,-1,72311200,-1,44363244,151830719,978548705,-1,828444303,153272951,134131088,495044783,460437994,217728312,-1,735109218,-1,456828452,490308562,-1,-1,367792776,400441743,742802111,404821686,-1,-1,598438538,-1,785660916,871343678,731140041,680413931,181011728,-1,-1,849249802,722740693,371346594,130912032,145471387,866491835,727440673,721664255,-1,-1,78652250,-1,-1,996658126,-1,-1,647053885,112167456,-1,677274927,198803196,613510682,752162769,-1,607205745,151761610,235298486,-1,-1,-1,641899599,-1,868772670,687918144,285552576,628656608,542610654,312819609,-1,159569323,426990396,-1,771771693,101953439,761475037,116229981,-1,-1,-1,-1,829426124,408893455,176437233,-1,-1,-1,283217497,134978665,-1,15694476,844968396,803155535,193961672,259436064,-1,892658261,-1,30102005,227792906,36354305,603656175,924643119,693977066,-1,263096650,534787382,902655839,805754670,-1,827111525,-1,781245506,614186581,733682053,-1,-1,699501410,214014698,-1,227030986,400392041,354549243,805535155,-1,341041089,473923278,426638644,759002993,-1,854997791,371151096,-1,873147865,394933391,655985709,861237709,510134117,-1,908591624,914523016,-1,470052340,-1,636211851,222506896,-1,392834497,682857569,574653858,23751155,629503155,111629534,-1,204638263,730092819,-1,446663267,142911631,722554606,-1,-1,457655908,860541446,-1,943632750,-1,31074627,45340610,606539452,864840213,-1,442581147,686278385,-1,820893589,83920288,752259077,623993068,-1,-1,-1,948436000,991689570,123352244,751246,501377887,-1,109327969,626706174,873638860,133516308,-1,113176961,174143229,246853175,426824997,-1,-1,370271084,457839301,725963629,936877565,644975544,941055199,233489440,460912011,-1,69135408,-1,700501389,580010456,559375876,-1,544544610,212130738,420182644,996528415,-1,820377075,-1,801726691,546164258,730008209,-1,213819144,919187469,774416624,-1,-1,240382376,712881096,572157110,-1,147871758,833824005,791455083,453150145,-1,728384370,961332137,-1,549773848,806398906,189148478,226755302,761275355,71360361,892806150,466569911,761037313,346963298,60756282,439968429,476276987,542163207,-1,966491928,318202689,443020855,765325636,869017807,653149447,243541515,-1,-1,634732966,-1,432598837,-1,831120568,416148614,309083614,-1,414828123,-1,309851437,-1,369532899,69571663,-1,-1,-1,803206622,373700182,-1,384144889,-1,-1,504354202,-1,772527734,-1,345297707,-1,66374419,794767757,-1,819641980,657569409,651434304,-1,-1,-1,355535298,627186320,926355007,701307965,509999582,-1,-1,-1,-1,525176911,741601093,861323410,239527419,333989410,558722180,304272367,160849477,-1,596178356,56976679,493207495,-1,-1,-1,319740403,490640710,2060652,221894802,336282395,69715571,220731731,-1,279668510,-1,432905702,979860746,338759690,846928742,126191044,824571691,763451432,364696488,297271127,34485420,411856589,568525060,263228072,-1,310131685,300739741,973555565,517793399,6822271,55734265,-1,128859923,737633883,-1,-1,630091959,422745420,190847362,485775945,-1,-1,622218943,688880226,534347941,-1,368623385,-1,-1,375770821,385282427,-1,988880860,917305207,-1,892277531,705506445,-1,569242840,-1,993243635,442044895,613320698,-1,492649612,-1,358370564,454732251,-1,198253301,878627434,-1,871778839,-1,-1,-1,25265662,684225773,207539096,623347756,350131751,510018125,565348528,988067366,905120688,820809214,-1,713264905,177315129,900295192,-1,-1,-1,-1,980119397,419841710,-1,-1,-1,818108556,921616639,-1,-1,199215784,256946487,-1,287240303,795333370,277255593,385433088,632474281,655604318,311930058,27552909,787971104,481956988,953513714,872080165,335398258,970199274,925032247,489463319,670941347,395441444,771397376,645644147,670830208,-1,953715997,633753731,649635022,-1,900752781,312876089,321076032,-1,-1,-1,638421914,171433875,-1,289290712,-1,-1,408806579,-1,536682331,-1,740562301,443789366,113330771,64362500,24791197,450475077,838539954,60294258,-1,215578886,-1,190154499,215708609,-1,-1,550067785,596296402,647128064,615812878,635811010,394125781,902801908,813813709,201619827,-1,-1,37511399,949089459,-1,998829302,767049382,829170690,-1,56638849,-1,236458265,119897813,501537190,193534347,-1,-1,948516343,-1,-1,-1,-1,-1,-1,777464894,64914946,185895358,-1,983976542,150966858,924620682,-1,-1,949331031,-1,733698205,-1,483673295,-1,133388282,328432152,389281152,4568714,502987570,281587628,-1,735824041,5209571,932543344,-1,762572726,55486739,-1,374859171,25944839,-1,419176317,-1,-1,975557402,615281533,111621049,881652364,569297452,176476985,-1,-1,-1,941065803,938729536,-1,959237609,45998945,-1,314938469,-1,188019444,425677499,-1,179412883,403593759,69371194,701107387,879854302,-1,-1,-1,-1,658493647,874386699,337283321,238541188,18736501,260926114,-1,314551013,399364117,289881127,-1,810833976,437982122,610802021,-1,-1,495200189,683911231,940456804,843013035,434725685,-1,696342049,-1,801279523,621768268,190661746,-1,184503999,-1,472992234,-1,-1,534109927,211192253,432728494,254543806,293806919,653196393,257877636,779978359,-1,241465721,495855525,308429734,456482586,562063079,727897209,-1,349951155,-1,964690833,-1,913395432,981201781,426193935,362104088,847270552,-1,-1,-1,223854267,311872285,643119485,-1,207115070,480809613,346067838,257622749,391036635,759208857,659366754,-1,-1,-1,-1,-1,-1,-1,920578450,427604971,462126703,739973889,459903756,591083541,455073373,-1,12159287,961881657,-1,189147785,473305753,-1,842443433,-1,679664469,-1,372367480,-1,-1,388563399,476185638,-1,537253269,401097623,839358117,842448489,806850348,204836067,-1,284980526,267107303,-1,520581296,874566097,53311317,230475934,442909941,699096620,752367127,-1,149738831,-1,417846105,73304072,817146699,26764442,408534202,552533691,-1,439704445,123292395,-1,252937820,456525664,369712894,395953400,876339996,679621864,-1,906919663,634042776,844912534,556481709,-1,-1,-1,975357171,913983630,-1,-1,899007128,172002806,273010663,-1,314432534,-1,723704905,402596130,780084915,824912961,122861899,917982245,-1,156173761,-1,13147914,-1,-1,41060025,-1,625331484,174367228,949521454,193434044,990514598,-1,-1,972439781,191759416,287316881,-1,568006076,385380428,-1,-1,197025245,22258086,-1,897812549,4054442,-1,-1,-1,619010967,384106751,28188806,629940160,721018409,893277392,-1,-1,-1,-1,956524089,440207720,186618691,573954736,-1,-1,430651152,232772310,-1,58307646,748032853,386955955,417287012,532218588,97143279,336566120,695384904,-1,-1,354959642,97075572,-1,183929582,-1,391153727,647389498,-1,-1,-1,834234303,-1,130602010,603001910,326125532,508046945,-1,-1,-1,-1,409014220,268166904,655768552,877631123,-1,80648964,-1,136405473,92164243,363150294,111426696,989926105,120534716,588528364,-1,815421641,-1,520315515,977269749,174938755,43591750,-1,-1,518104312,881040980,903321430,68054085,817312444,959943412,75339964,539553584,-1,-1,587716466,742854774,-1,828977479,889114784,432428629,459171308,-1,28783084,352226078,529659162,386768256,-1,654362763,918096836,760714316,556560368,233873839,154600334,-1,-1,423900225,-1,-1,272750852,91998552,858080191,724612260,386964923,385181387,-1,410806557,789866414,-1,-1,-1,489202744,-1,-1,-1,564017745,359304910,978007353,396968730,-1,818370036,36976772,732629407,-1,-1,192240727,228326114,-1,-1,-1,353334567,-1,-1,35445607,-1,921979187,543430495,77383933,343559531,257289968,238365771,-1,366651066,970017626,-1,903517494,66773925,-1,559864360,736061122,285706281,786844137,605035035,615026013,783081390,-1,726311063,559881306,-1,464989535,567092611,148409717,130568039,152054799,390148295,957168455,-1,678223265,623113192,711626131,465189930,390324485,644797889,-1,605009682,895112383,-1,779051407,982407906,-1,552422197,867060114,700939842,6312017,203396105,385070324,-1,-1,936068615,764603395,632576301,-1,165687411,-1,48432275,567727442,-1,-1,-1,963496789,-1,430236226,462020846,987181911,-1,778503150,166917973,856469061,425105541,993416423,645737861,604617608,525237362,789624009,315533697,455400392,376567737,283104431,-1,298974495,-1,142349619,-1,396111354,345494573,216439707,422603058,315109169,371090405,945710059,-1,824267906,823216091,-1,-1,-1,238365803,936745565,957181791,495294459,595012347,910766832,69277162,-1,16058346,807525507,744898501,330767014,-1,921698834,198705678,776938704,-1,-1,990643261,-1,-1,-1,-1,878068894,875972317,554984579,577019813,680677245,354803920,366672572,312760030,530838603,387891981,294529464,496193008,501728349,-1,-1,812914148,880347939,36558404,490163552,-1,-1,-1,-1,908113404,123654419,-1,128236745,39306627,93936483,277654007,467775035,969502129,784964698,567649019,384879344,-1,-1,846282077,514424412,339144418,-1,-1,-1,-1,927403416,448165229,283624418,59812393,605505626,405004435,310719292,208856703,71043451,386993310,-1,254187308,55312385,547735681,-1,-1,929699449,351048658,-1,355423931,798394697,-1,698483772,501586580,-1,702185956,913994311,379452561,275369859,769709970,834645353,572121305,369876241,166160978,-1,661079475,233571137,783780873,-1,-1,42170503,853646607,-1,-1,-1,-1,360012821,128864696,-1,-1,-1,331143001,-1,277055600,564613462,-1,660710688,535368770,334853378,729621604,229891549,297928643,317674830,383257410,291887098,-1,-1,654004808,484805815,437497357,840051008,369228622,64203362,157204170,775422602,63447491,157505710,-1,335048428,329238461,654525224,-1,-1,-1,501716922,419441034,238519481,530713847,-1,-1,375643868,991944223,-1,946131972,282954462,591318324,452969923,197669114,950411526,901899939,-1,-1,-1,262663060,-1,788390691,71016282,822207247,375270408,930416740,896229557,880256336,-1,602157236,-1,-1,-1,442752715,486777046,499208441,816798484,312615627,421022140,456492697,-1,203592463,-1,751573968,301529987,719967301,-1,74871936,220630638,-1,204826739,434117492,164960487,301093055,55542999,65731186,712650939,239702819,170221051,969456071,667752391,-1,626254600,523167243,587446563,139841634,185449142,-1,-1,617026384,-1,612734801,662044974,789727541,900773313,109977841,713947934,130396333,638735605,687905235,967144902,480511037,744631468,-1,-1,665034141,602979310,133657288,-1,-1,-1,-1,-1,905352727,-1,972177737,-1,-1,403206673,377366090,662121083,688138731,649427402,310411826,560887738,-1,-1,30813910,-1,445027816,593408246,-1,838815757,-1,31892213,881221961,640751675,450698683,202357408,504680678,384504310,885621041,512468421,475302356,-1,-1,603450690,-1,-1,-1,-1,-1,748382934,851144393,129932338,711171702,935041569,343362769,-1,263668450,-1,736502645,-1,24144919,153784217,108734466,728631465,860709659,676173874,973840040,134593817,656579610,950571287,990457275,-1,515624100,673474059,-1,86270793,496789028,-1,-1,263043027,306663116,821432669,681981804,82561484,482684063,878045744,389514113,-1,819390898,-1,-1,562137148,-1,935806866,796026031,715978560,273973045,-1,208338570,266103014,848750188,373772939,-1,517607469,332845991,642920348,654414325,-1,757582331,-1,-1,180859310,364009721,794558360,-1,-1,375194227,148176529,679031498,480937226,410098049,131349189,411942,327729558,655333079,339166357,531995982,779310974,910243920,609077126,497514941,635198352,381914273,100976290,223022334,-1,246946237,-1,104384336,-1,-1,958992488,548523983,-1,851857146,-1,289602552,294766664,-1,84089453,863376509,165192285,133137224,61319302,-1,660371653,-1,912568811,907828417,-1,49338595,145140351,424188661,752432173,74428034,523406901,-1,16551519,431726948,-1,910113371,-1,165222196,467026080,672239527,163643343,-1,-1,661812420,303371940,915825561,-1,102108350,23490882,-1,705533906,225240493,261031730,307939301,608643540,2138646,239197274,323296313,-1,-1,151987025,655765992,366231242,-1,94394624,702694420,95022352,943973340,-1,667785350,-1,429301951,362095301,-1,-1,-1,984603127,899641094,-1,-1,143842782,-1,994322275,87317678,642374061,-1,797693124,743668748,-1,-1,987432660,-1,972926554,245639837,956159141,471829155,-1,-1,159720320,-1,939158399,136755046,725836649,144417623,43862152,27254939,558613755,-1,244930815,-1,-1,-1,935407685,394114526,97736076,-1,445631534,-1,435067583,691327979,58540782,-1,-1,612281475,297246330,237755391,398309030,995707820,297913490,-1,-1,-1,107298233,70982185,705304550,-1,386522655,326303716,725860612,-1,657500163,393523397,772054289,-1,128735171,-1,-1,3422126,-1,31179347,-1,701411453,-1,135025155,265306913,820849553,-1,-1,170707397,819554951,853398410,950779582,387632180,-1,942311588,-1,-1,546621305,573418012,336782877,499053164,498901854,823883704,129313205,-1,857452338,-1,523415197,-1,174910038,865445860,438576203,950555813,880721488,-1,107062709,62737887,230985372,-1,-1,-1,942335709,-1,-1,584769805,944417174,833923353,362513839,244237442,779883110,812885697,309574022,743112635,235450720,968924875,-1,-1,-1,179077606,-1,-1,993727077,934511298,645098897,430596068,40500953,396850889,883395623,56033744,897342078,272281491,403190070,535009817,225521211,243903092,712079044,79926067,-1,-1,-1,67623849,160638284,-1,-1,761854028,-1,-1,173965611,-1,-1,893474858,233046090,552419827,213564215,-1,942375920,91085946,242710260,762507171,131151059,-1,682944492,620980072,25645554,215989743,807381508,-1,-1,393434136,-1,-1,204481649,-1,855245656,-1,-1,288954124,-1,49083443,387872090,-1,349084929,332020051,-1,688568056,-1,-1,-1,-1,-1,33577314,-1,-1,673991236,770106528,394321992,646468427,343027611,141479950,-1,801631634,-1,333499045,27281683,445159109,203390816,362936230,197505496,377710719,-1,-1,107334404,686079946,-1,178017001,-1,-1,-1,257134192,-1,-1,713658388,638697672,522820137,460258153,808314698,629719420,-1,316710130,688817566,-1,-1,-1,844489420,353037237,673444826,560865351,599536599,-1,675984765,439819251,-1,53830980,-1,3434763,616436752,318973530,-1,901022943,273378952,-1,-1,280536359,247385541,757192879,599972840,775470465,269170768,700518277,598130240,-1,915819604,-1,-1,838298365,380032350,832783040,821721660,441792972,392423151,282497960,-1,164619675,-1,223320991,323208412,579621071,376299570,747094910,-1,-1,-1,806281849,486777452,-1,-1,897893626,-1,-1,982929732,636465231,797990997,836517090,774731710,726112767,51774324,307892297,924953132,-1,508704182,456630514,788298350,-1,-1,873099066,809983175,695815651,752673093,-1,572580002,-1,757604315,145165224,159871969,646031966,616795536,757787570,158724923,47126826,301302498,144739039,-1,504023113,887536050,61556717,888427957,714682228,219730567,616598327,942402004,212664802,704698460,83593429,-1,952446151,-1,-1,-1,-1,285380937,999701782,166436733,83809958,682588866,157439387,717553875,160599231,65723485,841492739,982112963,856469997,-1,-1,32437831,-1,13249861,47415840,43382213,877825370,-1,934012469,801684973,-1,541862721,158920511,961615124,687682988,774034572,625195114,464172334,552935948,527739592,910093517,113871164,381139046,272187611,-1,359743266,-1,226289698,264422381,842648414,48322737,226687623,-1,23549724,-1,-1,-1,-1,783994487,374533002,-1,247160881,-1,351962548,92755602,179628814,-1,-1,746632197,40558555,-1,-1,480824273,157413375,-1,-1,767702081,-1,648604541,-1,112975549,-1,351347871,867406875,875813071,740642269,918055938,-1,23303398,-1,498519500,195836214,958660754,-1,144914350,150451371,518622886,146141244,-1,-1,-1,132059327,309334288,149016770,-1,368852359,852026045,828117523,259530217,514314455,-1,798459891,-1,488389558,754340652,-1,619512605,674385419,395462217,-1,777421465,520075201,-1,326573684,852858492,859995988,-1,215294865,654944078,24239400,-1,513576462,847151881,644002545,509305290,562164515,-1,145434631,615682272,676893232,27542453,53600750,39715783,-1,153976831,499915081,689782672,894293811,476465731,629556669,465776617,-1,-1,794663343,426002477,4301748,-1,17599005,-1,910598383,378410166,675530040,849396293,257290991,-1,-1,548986199,-1,736041250,658363258,858888099,998618196,136440813,142927501,-1,-1,-1,47186843,269367229,530117779,155569975,-1,-1,614787571,971211091,-1,140923558,-1,-1,751467358,50399825,740108684,754111941,131223279,-1,434168132,680967462,841039548,864475295,337395260,905752615,-1,446983977,866267458,-1,-1,-1,872878089,753696123,387053752,162434856,406657686,979613864,-1,395052571,-1,478450032,110904677,77583295,-1,180153488,-1,-1,564324492,134858384,-1,164739568,369925265,790444004,-1,232655700,999860951,417037559,-1,545106741,-1,298953936,189140852,-1,987715788,667333613,-1,932188880,816593609,454265082,-1,-1,-1,443634519,-1,341029444,486292282,415777203,216076742,-1,849634212,587619553,12708279,877792603,-1,412207609,-1,-1,-1,414714508,543722515,-1,942780613,440250063,507161206,372684218,-1,384044979,76232002,-1,-1,-1,-1,467830756,286216969,42896446,864622695,447221772,330832409,657330869,154555276,277701993,900474645,109745309,967767764,170230524,99758141,879272079,-1,257338026,-1,523441121,354030768,-1,-1,-1,824634131,998965581,429767768,865172525,-1,795580502,-1,-1,-1,829532170,843436144,256129035,911591205,661812694,734936448,706121574,60966399,457121315,172139752,-1,123358606,993340721,233876623,916817484,-1,-1,194590559,701499340,729235763,-1,47169349,242544445,875327317,-1,899892698,-1,579332245,93993540,-1,850777478,357048943,714758383,344151454,495903926,941291168,109774374,927573539,-1,471000295,900030071,666174065,515828372,324616939,-1,714235420,840429694,185667296,-1,249418873,-1,-1,-1,868088957,-1,569821873,-1,530599155,186717150,358587089,-1,499195750,536247302,615318613,430844684,-1,791749564,952156138,-1,279035177,993660941,58580861,992513944,983711575,-1,481557010,349987511,27213491,425983721,604955689,261997530,153804637,204931940,331680833,-1,430389657,-1,721183711,116912849,299699142,70068721,571466353,-1,-1,857922784,-1,800610815,270396922,292404192,-1,-1,998121807,353563352,-1,90368551,-1,95362021,-1,-1,336492569,-1,-1,686496075,130193480,-1,764879175,264475785,711644001,-1,629265196,444126810,375604134,179779176,-1,861394795,-1,135769850,632073911,130971493,973443139,185806890,132300524,830611547,-1,-1,420045030,-1,331668303,44466640,652093772,-1,537172076,838450579,803230197,-1,678760965,54814411,458031871,906682082,-1,-1,-1,-1,-1,-1,-1,522527690,240059616,439402727,869987135,546717814,973792584,-1,-1,-1,498970729,45831281,226718542,672523504,167175034,474235487,-1,-1,444698351,-1,9472300,870340838,652061280,581965335,-1,-1,-1,580391422,465039318,-1,-1,-1,862115908,525380945,154765820,451158210,-1,647787112,875632612,-1,622993977,534724275,744594984,-1,472971143,36823570,-1,532041542,181551529,-1,27260043,853177048,451417049,-1,-1,-1,291320302,600793118,422300076,316494449,-1,-1,834654941,425147832,795033695,251136998,188485177,832165024,64795112,510787607,924605871,-1,133924339,311653364,101126752,347626441,490134105,617734204,499543855,-1,58023170,-1,-1,538798563,469435013,379684040,-1,-1,-1,523519930,736763796,297382092,-1,-1,-1,-1,-1,269766062,134625753,52930119,360187237,758285459,-1,87864416,-1,730697858,871580472,631233114,946706228,4132548,339485363,-1,-1,715442015,308229262,550644498,734604097,235423779,193898433,-1,14736598,543378022,427355347,95689588,7257364,188806252,-1,623339545,3304480,9138820,909535963,12471369,303132858,735684931,12551628,395481206,431018134,441532609,-1,902922885,679428157,-1,328289035,-1,569800264,689152794,631925784,232385328,-1,629423574,-1,-1,528359023,-1,-1,365064887,681106469,125174320,-1,361517854,535957616,-1,-1,178176922,-1,606348075,-1,814898211,939464814,47719613,105307967,-1,628177166,782136955,993031741,159801208,777366202,-1,-1,950084141,959870533,56034851,780752345,685421068,297061731,198406253,-1,-1,642889342,371671558,-1,301596619,729198367,795473727,30581075,-1,176406257,-1,557542037,966269699,-1,-1,-1,633430418,852241011,-1,100336358,314908132,699346467,344428782,227791917,626773045,-1,353546935,-1,524475383,66540016,65241099,-1,-1,-1,976841140,-1,316301916,272093082,-1,204420736,643889680,34200132,-1,393020121,-1,527743477,11313089,414885741,318239968,471017638,460418010,64381865,119765269,154420459,841647629,826208097,717505992,-1,127022588,810342671,49299115,814205057,66047214,-1,-1,909383858,847060177,103642703,949637623,752673813,289917105,525919858,-1,-1,-1,456004239,790482973,763955532,582857770,-1,553664089,326043115,236871860,-1,661431217,-1,230420124,167007671,-1,760893544,-1,58499277,964690870,953461551,-1,-1,169319453,-1,442100023,296088301,348358875,827347670,566006121,34864041,-1,612227364,371094030,-1,-1,54674301,266232756,-1,133079352,-1,-1,-1,-1,-1,123629107,990029914,320323793,-1,-1,901040154,505751038,996343917,98404959,41938396,50325130,-1,544845303,420659934,609441174,287422428,257014262,582648728,616225603,-1,88384028,379917901,302036110,332479814,208500508,799564898,299730009,868262858,715872831,-1,-1,563042075,-1,619686528,56331114,914405567,3845255,-1,-1,268979052,769487987,269733319,948620964,-1,856033908,97186044,717094880,309950999,-1,784286637,-1,551957260,628486142,241077728,208645579,692716921,466813075,738266328,-1,915866663,-1,-1,485911632,891222790,951656536,366797139,858124606,-1,697293155,115119143,-1,293533055,627948589,-1,764281330,558465006,275552765,582882448,854038981,830342824,408940619,82500802,424738848,-1,220495191,690532301,-1,683117267,469789806,848692662,397422795,575023173,437662554,507364314,-1,893745788,-1,-1,5685265,481859031,72004409,351839037,-1,840797318,416094699,386470236,161340911,405247601,-1,-1,95038827,48497578,155867067,208860865,642335706,-1,-1,-1,641028330,253954726,240815635,-1,181170644,751615,779684678,306613691,-1,218371185,986330590,44215829,-1,-1,-1,-1,495971324,925858095,238315217,995849010,991744184,756507630,-1,629452141,-1,381222176,503440770,14213593,900357344,221838590,175380576,944959725,-1,79985246,147783007,485766518,454328597,538683954,953180814,324643397,-1,201763179,384024931,119575775,-1,-1,844168755,519923761,274163385,-1,361637821,205949784,912624693,743301371,387936361,380622271,-1,289343925,864915800,136783751,667854054,145966220,679529536,353084653,371889582,28631987,375539339,-1,-1,915469560,-1,769373047,995015749,-1,483282030,-1,733287299,41879477,-1,-1,142121083,-1,330873405,478741656,338085987,-1,223280635,879504770,530311387,31445768,576048362,-1,922444077,841281087,-1,841280073,-1,-1,-1,11208742,456803586,304297225,786548033,316896182,562282140,738008694,836644394,-1,72298301,315219602,446592302,459174891,227552903,761776907,888240409,983180440,810666218,200064091,-1,533428440,-1,802393055,-1,-1,887467848,725147106,242286834,-1,850246662,-1,495347445,-1,161965415,948517774,866798195,816771087,247081928,960417783,539145976,765732069,727519811,-1,735885522,469971089,516744992,-1,693928176,235400819,372073351,-1,560379264,102798346,419181047,300800779,221108653,-1,408744742,-1,-1,644933781,880940457,12346499,516573189,193331413,100420689,-1,88742638,19073009,467214596,732769653,825003462,-1,124366456,82598835,832185156,-1,244260077,200765028,-1,870256835,319250477,922011651,951648937,521829111,-1,-1,614904229,-1,-1,-1,-1,603987150,429862310,846141181,33538162,-1,-1,-1,-1,589065080,756915722,261604199,-1,574934561,-1,612583592,-1,-1,388468852,902889676,891511138,470011062,588223387,-1,223823476,-1,281867438,697124790,305444873,-1,352855575,-1,509945077,48100129,788994932,853649784,-1,919072263,718504267,277211022,897941064,934464627,640244071,427374648,919963653,979236777,-1,-1,466439593,-1,167156973,382924127,-1,-1,818002541,576092072,-1,-1,510657205,120832263,-1,379163788,229815410,-1,793807277,494962984,466726573,652915169,75355848,998419060,322919185,80493427,547616196,-1,515594597,445489805,118083206,-1,721168293,286062215,-1,655748494,-1,372482024,660869447,-1,736987495,802561144,340350479,397997080,829919061,604822164,649346797,711722185,-1,992050649,590512433,159487492,348566138,-1,210148860,-1,178162106,337838412,268710229,890911595,265556983,629501022,264947765,-1,-1,874811426,120598222,333196183,-1,940265069,536240112,389064692,637762650,151105962,-1,-1,-1,919093457,622587979,993459591,901939447,-1,-1,429564709,-1,487924233,735474634,227363132,150422324,458833259,-1,333384481,360148734,963471668,680357917,418737237,-1,-1,511937954,283310837,-1,-1,486888260,186881933,536787888,-1,422027659,150448233,217491420,-1,-1,817135812,536951420,982777302,84741717,-1,130472450,353741992,384679496,751374629,84069298,7680687,361102021,947392797,734789738,-1,599366326,997296144,171305605,820170076,845488451,681527995,857028481,-1,877566860,213799225,514650908,656593594,-1,9640637,396997279,-1,539515948,-1,86563353,984660274,888595022,578108340,-1,779037750,363841726,476080605,253910940,-1,-1,-1,966771044,33160649,101803128,33887160,536947613,402490685,-1,-1,224772744,312013850,721321410,-1,733327487,-1,-1,-1,749162107,198291,387277048,533243742,701373699,902123158,-1,847510660,310972713,339272196,616221494,171143133,772792880,100491052,-1,90951101,-1,637099086,101507116,-1,406558571,106687196,546395573,896078346,-1,75157033,531252471,-1,22655723,64096674,819300010,-1,697928812,667637121,482139716,-1,-1,414840006,743847380,384958399,-1,-1,984818713,-1,-1,-1,-1,961608415,-1,133863974,899107932,-1,885556861,916432406,117185050,-1,869181193,-1,317939303,660328389,-1,967208442,-1,-1,-1,-1,422035734,-1,951948216,-1,-1,100835332,-1,841592649,407047461,-1,539106070,700904365,98931397,787616135,720760230,250734825,-1,366237433,621873904,374456472,234985938,-1,150919780,-1,455322905,399658319,-1,213733717,816452201,991098728,-1,711017671,4451111,288076677,737726168,733564194,-1,-1,580585404,982197976,934562918,166410142,651240611,-1,83764888,740807917,940941385,821105819,-1,139042034,976646050,92451822,-1,836830704,335315200,-1,7671302,611243531,655716025,995040114,909769366,-1,871855729,-1,487614096,813584205,172229769,363333853,31663456,33461603,913987882,955372761,75110760,795559181,682319946,570967973,567179929,803496811,404040874,623730506,-1,59655434,595260458,544123325,198411505,372245165,325116866,-1,-1,249843781,-1,746792904,166897784,-1,13410252,558525532,-1,864275556,871834418,-1,974065678,-1,249626765,-1,397726625,770391959,216821077,-1,-1,847149813,567349193,366764613,396293751,926072128,-1,-1,-1,-1,-1,375880952,-1,939772268,291091015,-1,34088101,76339724,-1,409090472,-1,818597317,-1,775969746,-1,-1,358302,743893733,-1,646027048,-1,-1,52320196,-1,932707571,133709369,218853202,-1,963250758,915227027,116397896,126502969,-1,154200465,-1,-1,736733603,678369923,234927959,688972832,-1,-1,972162244,29039340,731643447,392172416,898830250,-1,740530459,889571685,647974984,17308560,-1,769112074,414584175,756417935,102962960,97180194,-1,-1,937237446,438010598,156232157,156594237,99944437,787295699,797264249,822702781,567783825,947886263,631112373,853367075,836426856,483820849,-1,619800185,-1,794725760,115142268,238513767,365728250,386169360,70491528,-1,820702182,633963002,986319807,840477544,653664051,-1,380572768,797402756,-1,791341514,-1,-1,382021857,620787248,994817433,639938383,906089325,45198684,532278798,-1,187169942,-1,157621439,391387089,366953269,606326306,182595032,-1,355161568,-1,-1,-1,724616442,40311922,799069495,256135980,879994326,-1,420185554,-1,179058092,67422744,91557266,32691885,822080921,284443977,260797278,-1,532497082,-1,68907631,943706091,-1,544772998,-1,457025931,-1,966858706,570883142,-1,-1,-1,133859219,197732769,-1,831563997,550038124,-1,-1,-1,722750889,847905635,262519297,304732332,467412827,843900742,334559366,92065315,152186484,938593564,-1,558421672,-1,793658832,-1,-1,662879943,-1,-1,-1,884370220,369848450,-1,-1,940605683,867368444,-1,37348254,565265577,-1,974023089,677502993,-1,-1,418687472,-1,-1,918705618,350958547,319992606,-1,-1,307533585,832903556,-1,-1,-1,657251609,288888096,-1,-1,-1,-1,364280222,-1,591439002,-1,355008810,-1,913000984,447009807,59046732,428552752,169527023,909082886,-1,836359314,-1,-1,420016943,-1,447419457,918780992,-1,567519856,-1,935713148,577563514,47042712,348437394,-1,169035219,621462064,427512757,404937796,586800259,-1,879869190,-1,897706182,85572304,41385127,409162601,907976409,-1,524576474,-1,-1,970749896,483690910,250754319,42017291,-1,-1,299993123,683847964,859682372,247107789,962576237,959713574,-1,423683106,-1,-1,-1,412124624,987660144,-1,470563316,36202632,703316377,867823646,153797847,445416658,-1,863707377,-1,-1,312384165,-1,662944936,567453282,45011729,-1,-1,-1,427575918,845166104,354064313,-1,78394595,530159159,-1,809054256,-1,351212027,737458671,12109231,-1,-1,351457102,-1,-1,-1,559396938,202459286,112807966,177474416,425226168,-1,-1,217272907,-1,476800277,988911056,-1,82201077,900099527,336838377,623409378,8396515,462308190,-1,359229343,94527973,-1,328310388,411601182,428068967,467285978,585750111,312974383,935009511,43799697,753410012,740775297,-1,104105578,541837777,-1,251614234,-1,490522917,-1,-1,150133941,-1,-1,476739681,-1,895561154,-1,865590428,937392407,163691560,696453041,263343707,879633681,-1,-1,383700239,161956083,477575407,189902296,275364112,803853089,-1,768506253,-1,930575472,-1,265179679,514439599,566108234,-1,237865211,297018412,735406729,371683150,490535631,-1,785364690,-1,104809498,530768873,478036692,252452342,-1,-1,981318925,919360497,203848829,-1,7184486,-1,301506858,623525401,224331228,971736522,-1,-1,204326860,-1,-1,-1,430175800,704619066,829990404,736397349,-1,-1,740823707,-1,-1,95280611,-1,-1,990959166,232058241,627830626,764209544,221343228,-1,169657981,935003176,583898447,-1,287478651,544031050,-1,546023809,983076220,773234073,954691109,525604866,-1,466405417,242302098,-1,-1,195841558,4154436,817568744,460364615,344073195,76277373,158949560,423148272,-1,63808709,643997086,497165979,180672221,-1,-1,846478293,137482998,405223695,835887788,454964098,239607882,352832523,514138458,298776672,646352541,267374642,773397207,813182244,476233792,110916660,429454238,224725307,107116813,697074600,453191428,889105981,365004376,-1,805857671,807441986,437267803,7014193,305421400,866704002,95234475,752077038,330183443,-1,978353137,-1,-1,193246680,-1,620333962,507819050,8418483,605872222,564353769,979525523,61259704,791382118,739528212,159815867,267004902,-1,837199727,-1,740752093,855692863,-1,471436506,440740680,-1,49149972,287840013,-1,-1,497745905,760370856,50951636,-1,945083686,184160400,-1,863195539,-1,419080905,842041674,610868298,678441110,150825659,-1,396480265,-1,-1,925342122,-1,11981416,-1,150606836,112874836,454540426,738513687,-1,733233237,28715098,468836989,-1,-1,-1,616031498,149277933,974937205,-1,-1,837439026,-1,420007078,247272089,681209668,45451026,807714209,399329922,483633174,-1,-1,659442567,790821766,-1,520830696,-1,625646511,325003968,-1,106695011,491625228,968725870,525184554,-1,129665638,104630144,917861623,371255908,-1,406958792,71602084,-1,101196008,822386042,275328142,266098559,-1,-1,345307676,386601744,230419747,907391633,449797637,927195204,354889015,-1,-1,279072212,544644022,589119385,516516692,-1,700957731,492696339,-1,852804313,551729057,272710918,726063321,122772595,972970584,605830149,316680147,536586502,838880201,50546529,-1,88286296,-1,740086379,-1,-1,874678559,271815143,71967993,7631056,805782762,814942208,-1,114466985,-1,-1,-1,226912764,877571,-1,363559735,-1,-1,810605814,571678889,292067257,-1,784273252,-1,-1,-1,-1,512245998,49498216,-1,307781386,-1,792275709,489883245,89522287,419396784,8859105,147278537,447944754,82896781,-1,-1,165493718,-1,119849093,-1,490403155,620022521,128242009,-1,-1,62095361,111377779,738271738,951796630,990392803,319988266,268402004,670098204,139209629,-1,295759067,707254477,819476044,280193508,-1,-1,-1,163607485,49611127,392544878,830548487,419771874,600224007,-1,365141396,4847693,598986362,889364476,-1,938068822,-1,754341890,-1,146463919,684618680,-1,502831162,782546050,-1,591443970,582830371,780802164,530931218,729598834,561777343,799931323,56387894,468188922,-1,887911777,-1,-1,277248690,-1,330788552,-1,-1,167384043,802675566,644062007,-1,610164577,295664872,518899727,766158029,236576606,178403751,-1,895990646,268409477,-1,-1,848593441,258863129,404670623,917000553,3379820,-1,718798398,396108272,391489943,-1,-1,52417568,-1,-1,916953032,-1,-1,256484597,45991741,458286936,951382507,-1,-1,633650073,-1,-1,276090523,233464522,-1,-1,241369403,915477721,938476037,533671065,49634836,82737041,-1,393198808,-1,652281892,357877697,572717200,-1,921836882,792231669,752820905,714119608,946161531,443628490,67669072,84235368,-1,851926139,89425353,431890414,811974204,750467507,304959149,636773223,19971070,211073085,508725449,-1,-1,-1,595677953,926666840,632112501,34861928,-1,-1,-1,510727489,-1,100164535,-1,-1,473858959,293746419,946865077,735177910,514221347,-1,756664890,295181970,907722424,-1,188704085,945275459,493828374,251056737,-1,465204072,403792740,48115881,885117445,-1,-1,541733761,291387591,640630598,979655028,312517531,400904612,-1,566178327,-1,387269904,-1,-1,-1,482678252,-1,39050128,-1,997073346,447587132,901176079,-1,-1,144016942,859823383,-1,409375177,652613190,506968468,147668590,815028307,-1,562647341,-1,633454273,503857912,914415166,564034433,944544555,532826187,46207302,503195713,89284437,528479165,170690928,508012405,-1,-1,-1,822292905,899458749,329065192,211553418,-1,10586088,531105785,-1,480721988,-1,929213814,491443272,-1,-1,-1,630996188,199104129,242258901,674824945,-1,82094442,-1,894076404,208527843,-1,258659967,665902051,-1,-1,999596639,733671815,443514457,151683260,332230380,607377742,-1,-1,445199828,455929860,-1,-1,-1,633876142,-1,243657299,-1,375292876,67818334,363179123,822006778,237714136,-1,743967959,-1,432972959,659619807,598535485,646704667,9520304,-1,-1,820671449,852344154,544848631,837026831,566320705,-1,859869542,519575695,339976896,-1,869156129,-1,-1,539792642,990489433,-1,212284564,474932920,-1,-1,-1,-1,658197387,870106580,628942917,277193551,190222304,-1,61949354,175238010,72560701,581438283,827548390,669004712,495828356,-1,-1,895459322,354075479,648854062,-1,374009576,75002303,817984714,837417646,-1,704337663,366107518,100313081,-1,696768064,4774655,418985575,-1,703532689,801891254,450526805,781960607,784714239,78061498,-1,970307636,-1,788232459,586469302,855391604,-1,922892688,-1,3465740,-1,750033364,454266914,-1,629426383,32274125,278959121,873688153,938505298,-1,-1,103945500,642575806,-1,486529939,256055245,-1,33576889,-1,613357895,363190641,-1,637468394,826073173,461135426,-1,510268421,80412323,625410191,233158876,311126964,-1,-1,860035271,-1,-1,708373389,766210781,865370149,-1,124105148,520365881,326303444,178052812,-1,444628548,391906056,-1,-1,202975501,-1,-1,437397829,331771573,136869442,507328097,-1,67657536,649185089,761919639,-1,362205782,-1,786603092,288868957,797902725,-1,824725253,766782663,-1,991326212,734835185,628260752,-1,-1,845384791,461930534,529769280,693674052,-1,407469578,-1,698585040,2856391,-1,-1,366604242,866685892,346045223,344041656,843946315,601815246,198595840,354562695,-1,557250314,-1,-1,619905677,-1,46559560,264702429,353377163,181322188,49399644,528457674,355591222,872748153,255439877,-1,600180178,794973726,819461859,824638981,8503125,617883992,396095506,-1,211041517,380454473,873315641,-1,-1,979796554,910240015,-1,-1,-1,457060266,-1,280213907,-1,625287071,605192863,489612025,337330515,187963692,881632027,-1,855553080,-1,833072630,582951158,910419559,-1,968412653,988290507,759012712,32444467,-1,-1,479942663,-1,657540850,920214701,-1,9995474,-1,949496853,-1,38918336,396621950,90522583,-1,303904501,-1,179030849,623049912,185733287,716167112,76068178,254598583,-1,853565750,-1,663416330,221007797,402687004,656731803,769631851,840509298,-1,-1,653427579,931749118,526505901,412736201,-1,-1,682234111,419067358,872661893,281652781,215793690,854577574,108460140,-1,-1,173391670,923236489,408164265,166483336,657401156,403732184,472799219,-1,588271648,-1,-1,-1,-1,821022089,302826801,963674416,-1,963385462,-1,979982942,-1,996478342,703263249,856420776,219870793,531856269,198204502,527519389,197079719,396352212,711007596,640619225,944973283,592975659,251618663,375723190,94254566,197802586,806306178,945667425,384733529,-1,-1,108855309,864458277,-1,95199879,616181826,618394613,161836844,433487160,194766421,-1,-1,34752876,112486020,802439739,-1,254972191,694476845,-1,600580409,838357655,75287916,459285729,429775071,543497292,672130323,-1,74401152,517551822,-1,388827211,-1,899663399,-1,-1,-1,938228799,667007107,306132414,-1,468374257,56634241,211600021,847471945,271330509,-1,705378059,-1,614083459,66591223,274024546,-1,47209441,619780895,-1,-1,-1,-1,880686417,762138072,850274140,962021816,68735875,330525376,-1,863517092,439891335,954212502,-1,538720475,-1,27409536,831643223,-1,-1,-1,445226005,-1,-1,152337673,712387317,-1,-1,869541586,354225739,327648136,-1,-1,28959014,-1,703624772,72433506,-1,-1,-1,760527250,904281746,-1,959117448,88721954,792337694,751119604,-1,547997070,605986581,896902855,-1,839851350,-1,699332481,36164750,-1,663403843,-1,-1,398547595,-1,891706560,996683365,870297008,219840164,277966006,705460930,823486595,-1,153637159,665355052,-1,552077216,-1,854860298,712703258,788614848,718187012,-1,842786951,216580245,-1,425066410,224342356,953680587,839970904,913134875,917205104,580736696,951061614,-1,-1,-1,-1,26012475,301180651,904387009,-1,-1,847454460,145790278,-1,508456756,348183130,383167071,458130761,885746816,181218819,178550296,382275788,-1,895584683,770318830,-1,293899444,-1,21764996,338055336,341464891,642647922,612815219,257401645,-1,364495505,80376022,405599822,267847918,-1,371890103,279329852,232733961,142065565,210484544,170077946,658895834,592405521,-1,731544227,-1,-1,372203132,-1,726597809,-1,606145775,448908855,808477911,47714880,854148256,999329629,852029272,742626897,-1,187105375,-1,775016617,461135576,176649911,-1,-1,8464347,814152407,-1,32960633,-1,-1,363352643,-1,314879555,762628381,231351692,915295701,-1,658723137,818367527,345341242,-1,51611263,416229625,913669527,-1,120948244,959315120,-1,982240140,826665806,991127167,120429445,270363104,-1,-1,745141742,290757670,-1,400730835,61787705,266093224,-1,-1,182863332,294119498,939366568,-1,109171337,-1,-1,267297896,-1,166857842,526147981,-1,617681294,95595911,-1,709748348,399792750,12679773,-1,587760664,832621795,-1,928270737,-1,222352688,-1,526130944,-1,595552796,-1,825559088,356992623,671496793,799914386,358194193,-1,-1,414230702,719248004,555062522,128411533,-1,934071912,19966030,-1,827854915,776591914,161280599,824214967,-1,-1,35342762,227813916,-1,590930226,750789552,645214114,-1,807984414,-1,624695630,592605566,156165308,205561757,166592110,-1,604859345,224654024,246301273,702069100,972673556,140949887,-1,848264542,627013064,-1,854145633,943672423,56640652,160914932,786399018,818712173,-1,401852750,-1,591874376,47115360,-1,-1,88179154,892035013,-1,758102913,449920016,860616454,341288168,-1,-1,-1,378690555,-1,545986788,508363961,389856757,-1,159606329,214864626,918241961,873245507,720702147,16007690,406992069,664212870,521511143,703862846,302684987,808390337,846089876,926304673,983539276,210217088,726512069,373950616,996416983,259720723,587161976,558192881,855251378,948286368,-1,-1,749050655,358150818,943523130,441914182,392167176,-1,337642071,623464687,-1,222418931,458252850,603646820,-1,486186179,625903282,-1,-1,-1,814905730,429606239,522763722,-1,352930683,585444793,-1,314763436,-1,108226892,78288424,984807284,496884352,233051562,98319916,-1,60829426,485457472,668742002,629118331,186423484,267942103,171952889,599579932,117918223,400657868,535509222,130847786,-1,989808121,530530739,733742349,223851959,150847026,630664276,689840097,748591763,339290300,725404188,265332991,212649636,-1,247171119,980079235,103581711,599531699,-1,-1,-1,161368998,-1,-1,-1,760193952,324603511,922932019,978122128,560965261,-1,-1,345105674,664948046,794916218,155373600,-1,934548480,269266715,499297261,-1,935948658,-1,539027575,923404250,-1,898777827,704690636,444931685,387447959,349009159,537392584,-1,261896877,656438911,948270629,422210307,488555457,372374961,596781264,710035273,372626671,923959228,198053231,386520013,802379653,703194637,800305265,614865665,-1,-1,100908902,900329574,-1,616747514,896343517,927885216,998675748,-1,197584974,-1,-1,542396502,820611994,75421643,790012616,-1,782055474,267794740,-1,989125606,393173956,588825039,-1,-1,907685787,954793942,611977792,-1,-1,-1,446667466,150249051,906046593,-1,320995459,-1,59183876,629214478,309071252,215917026,410277302,-1,940209194,-1,144753247,312332299,484053016,-1,919806664,188200245,-1,-1,132087709,68727336,-1,-1,-1,103776770,794853877,617724940,473044045,130668823,-1,71752663,-1,689101668,311230058,-1,508417335,700224912,653469633,-1,464229323,408972935,-1,178741871,628792427,-1,507263042,-1,449065255,743128031,90190189,129591007,-1,959524141,307651105,-1,426529000,42183846,569898359,667253669,-1,709582111,-1,536352002,453883831,535251683,70593439,323842166,460943013,283778487,468122093,229230603,238272621,412343481,836898234,-1,679163779,319675161,897635876,348597471,109318799,933091103,122795510,-1,929993106,558803871,741498762,-1,-1,-1,-1,530866049,324819007,372511842,-1,-1,258117679,405220537,161346553,809750944,552962449,-1,-1,950493389,652698115,-1,837389542,415500941,-1,-1,940018970,-1,272474089,27938339,511284063,82206258,786479026,838137073,-1,301940128,296488497,-1,908837960,919561002,-1,895149722,187449439,-1,920726580,-1,-1,266419195,832330314,-1,-1,274635361,339736792,418617431,-1,215020175,267565581,-1,-1,-1,616707660,949677820,430293637,-1,-1,891078771,-1,789785048,-1,735054061,362066084,881788131,395982723,446434711,901751515,-1,451495821,552098786,886898175,-1,-1,181373917,708543346,348778430,-1,356659901,58810368,525425016,-1,258468387,823927827,-1,-1,692422168,-1,-1,-1,-1,-1,987325086,465685333,831119250,830134183,-1,-1,-1,560380099,411570388,-1,-1,-1,529132469,579259258,-1,-1,-1,173939513,980311142,95432643,739669067,829735090,657886599,-1,596119550,663077477,243519181,575462673,96057937,-1,280135439,-1,30256464,628983810,480188384,986599538,529132631,-1,530338589,18668369,-1,399739339,-1,-1,430731880,-1,-1,-1,629929782,222583910,646757240,265212890,740223567,245960126,45565852,374917692,832111548,141107066,295088547,-1,960575859,34214754,893603419,783609328,630311106,900269872,-1,23637389,792297507,653896303,66589913,-1,111819465,769905455,-1,376520044,-1,117406477,439245065,-1,-1,403498413,552265266,590802753,547997057,-1,686360910,324757733,594650502,-1,170366531,289634822,-1,143911243,-1,87076380,264449091,-1,20867205,-1,-1,857552556,728420746,-1,240647056,837056600,290126713,-1,317906840,184877368,568627472,213263629,-1,-1,-1,776140583,508994904,489442154,-1,560345385,-1,433424215,357105783,-1,-1,961580410,-1,869675291,-1,547774813,583704267,318357990,478274487,-1,713918093,316325243,678682233,-1,340917838,232783617,273086265,189485412,562692126,101909460,533888281,-1,967915995,-1,623286282,168656435,268447095,877833991,80733657,489705884,720156545,410877570,-1,181194940,873341450,-1,-1,-1,-1,173133228,-1,171313274,831981683,154439615,918667700,551466793,43408186,817249343,279939832,7246069,67878301,273038224,-1,-1,443402384,473136604,34189797,887130658,-1,-1,326007833,-1,-1,-1,368893939,401295517,46017145,568740746,523733513,854255231,946106668,-1,-1,651537713,812855461,-1,738387555,343454563,778642005,974001376,421783825,-1,-1,202299624,736977303,20495283,559698683,305774536,481072503,-1,661074938,927326498,938386614,183469656,643260126,454419762,540184933,442512928,-1,-1,75439535,789684963,673526260,-1,640263223,47756970,406544278,517767403,619642158,25042025,-1,697825165,779042924,579118755,-1,297529675,-1,763154836,370713283,-1,208904777,-1,977081290,61592673,726304006,314058472,183936070,-1,57913769,-1,590979181,404606895,-1,112956062,839516600,725174965,477959458,-1,-1,7361240,47263593,669872478,498699538,956743213,761625884,487278198,-1,-1,-1,-1,690685309,964080461,545596961,238029998,221120579,-1,263450943,871495942,888456091,54727456,128153993,667597278,45072595,-1,915492395,580365632,551514191,373036144,87754243,-1,405245042,-1,-1,851550975,917780743,424240095,-1,-1,621663030,148645078,219479988,400640836,950546821,44216197,19509020,49837024,943948084,-1,815098354,864678819,108225038,-1,-1,-1,928109530,-1,-1,-1,-1,-1,-1,683039985,-1,220183941,-1,558663476,440677315,469787604,355218287,212329797,417869474,-1,557297676,31165498,98900270,365384179,139689028,-1,930078834,-1,-1,911745789,706552176,-1,-1,649138155,779433376,828965647,677507878,353434791,361628994,770613654,341472193,269369547,166012503,832067475,187819376,-1,-1,7241649,360233868,814081681,168625088,330915541,434692113,-1,672148462,-1,397100026,338174576,268435658,522912474,724547431,232461630,-1,374440662,450366560,190999105,594911275,-1,558311418,168403328,499274218,465665538,494475296,97570820,760173665,-1,-1,225900519,-1,133980306,206237329,602416617,684075700,805101707,13856842,387260928,300569919,16523779,737642038,11420016,-1,-1,773506216,-1,-1,154422417,248638792,626267034,539046417,508192403,-1,-1,-1,-1,-1,941625273,612193912,566870256,408979995,949215177,68859502,871446040,374745193,620302605,635744547,-1,854412402,659708417,440231972,-1,-1,-1,48575118,948729122,147075887,383302699,230681769,934661167,-1,-1,103566903,289016065,210129231,78197645,338771959,-1,395596526,576784676,-1,653188271,-1,963018198,536011455,819186398,340932501,919250936,-1,90423829,528696497,-1,964570410,516646874,63414898,-1,741622533,568001420,-1,63349447,122150804,294134599,989681979,957098973,927414043,778859214,623652985,-1,283938789,926668937,829121344,-1,925686972,435648148,274009552,-1,295424402,-1,877645477,91329785,179566352,635284078,668393219,345389499,621303695,497759805,436114636,763587409,845845236,799400089,711627267,439941398,167570740,69036972,614359182,624851266,5168535,61419954,55943099,-1,-1,243192939,66383380,-1,365186448,83637477,878804469,72873151,-1,-1,675513468,-1,-1,-1,-1,-1,483215888,181651046,-1,274806635,-1,323778809,260900589,758365992,50784855,510609478,432117834,70440980,27121273,-1,680832081,19960520,924142338,846630444,30776369,-1,107786377,625144429,947068751,83890570,916437702,-1,513616054,526559833,-1,817002532,962933735,649318857,-1,-1,-1,-1,109305598,601477293,910610928,484690502,981019275,-1,690031878,533961464,-1,149516999,781222313,300114278,479715669,-1,-1,436800360,759056926,-1,-1,305233329,912002392,608733451,-1,815933835,-1,945235265,-1,866116664,-1,-1,-1,-1,923990293,196985081,272701637,507634232,634076884,-1,886228897,211074734,560160607,602983382,422520531,831380971,283943250,616945186,132481353,777838528,515093568,-1,434595012,309523700,485799756,120500792,333002120,-1,884320377,314239173,94317545,481360279,-1,669155815,887830505,588320742,457592509,-1,51234778,414509940,-1,768889809,635745417,694742290,592700511,256196221,882680581,764091136,496925949,776767070,-1,584647748,779150233,147533235,-1,-1,-1,133574230,575163403,66492079,890675915,502715522,398774856,724938163,-1,673049579,-1,6650081,-1,763421814,-1,-1,904129310,65320290,642228850,101840549,262667862,684618460,307740009,796190464,710008551,597244605,504545951,385343080,619468472,-1,283049547,560597128,-1,952284537,-1,108078421,292282159,122825175,-1,149141618,167094201,193591193,-1,456809455,294397159,-1,425989148,186094516,-1,595096857,-1,483350798,-1,-1,848342647,595595646,829677352,-1,133938342,-1,585125238,-1,604050037,283137923,314140299,641176688,747198303,306737676,101144798,-1,-1,618151684,-1,422230923,30134208,288749931,573136827,964121808,822106807,-1,73322672,-1,-1,-1,639131516,649864244,445193683,739250297,559377383,-1,927790120,310339841,-1,517359622,-1,561733594,266109074,228901097,678744378,466452835,846142381,-1,78883758,676640762,993118842,41624057,386763107,780043347,730068050,658005527,-1,877038172,-1,154896952,13565777,-1,71769864,123166534,212498368,-1,235405421,786470118,788615581,370434103,512530479,565716498,504375963,-1,793317230,783966535,682478159,114402843,4538535,579118387,783773905,637341311,98239451,964271121,800328928,242860887,-1,386588088,345332614,872978563,667600214,345324478,57160622,-1,-1,362959480,-1,663513193,496515902,-1,200884392,200410593,529300604,71231524,925385549,119095370,961172641,152289519,128722239,74962145,196974318,934232191,-1,719012490,590914846,-1,-1,168843596,-1,763265209,949597884,-1,-1,375724522,-1,207324045,-1,555453108,156007411,-1,147597576,947835183,-1,-1,349943175,107626093,895679258,706391427,159811355,451289165,451560367,667859378,344577451,3381458,322255471,883473449,252199917,499838794,384307514,842541890,-1,-1,-1,554321407,-1,861789661,430936311,310109216,278841739,-1,653390580,-1,62441585,-1,682354075,584651266,816722686,738633526,482909196,531173217,71447588,74983216,-1,487272707,733077345,630748836,266276282,-1,874832628,-1,233402391,788754816,332005587,-1,671645663,352360065,748871377,-1,116655863,-1,231168345,289124099,656284254,741289561,-1,365043160,75494911,775140368,35478883,276988743,458883260,59990155,362059318,803502151,-1,956930191,262228269,-1,-1,777411234,397464275,-1,-1,230153449,-1,359343324,499707200,478802788,980722889,856242892,252647495,-1,553272001,-1,272513365,659737058,354199447,637083710,545537922,389192393,256919888,80468751,502018150,370225709,614572509,674572309,578095016,-1,264614150,964024413,-1,109538058,-1,444583865,-1,-1,460138220,-1,-1,-1,956503795,762854300,673691708,-1,-1,96844247,14724038,355483516,523588319,-1,502337996,-1,279589268,111322707,-1,532025503,994634045,563395855,914661018,605402550,265908536,770750913,932275317,-1,527508564,689233276,516336345,989580438,136365045,-1,311040829,472818205,882978979,479678088,-1,989151203,535546559,522287189,-1,-1,842712203,-1,600742718,907143030,-1,875130402,945341399,521322992,-1,-1,287078245,372530472,406313063,334900779,-1,176327824,83842187,-1,550576510,-1,-1,455295633,92972845,489136113,443258471,970989158,742750844,742739381,817400697,-1,436274502,-1,206713459,-1,754112579,32892219,-1,440503114,718701394,625863801,279960806,698787317,83796715,988209164,609955275,962270771,-1,-1,281073017,-1,853197502,953060007,215741806,-1,180801553,-1,377344712,-1,466198490,642717755,-1,-1,338723560,919100547,69672656,-1,970217191,-1,780274961,966928065,-1,-1,-1,832731492,628747674,-1,-1,795372328,439378433,866359930,852017579,670697492,-1,262159383,-1,761756809,970329099,647723210,-1,431594001,5302433,-1,792453110,3261421,162289163,-1,132893771,483454238,44288935,-1,422913408,-1,-1,458370139,561948625,-1,680027156,952640871,-1,988176208,162965643,-1,275347876,-1,621802539,913729529,-1,-1,633640390,-1,771972752,-1,633014809,-1,741757722,414228460,447374929,201826718,784478018,400820783,-1,724668800,992670503,516582055,670024739,11225135,-1,694207064,735155659,145482860,567039511,74112937,-1,750932947,-1,-1,-1,134671259,848284304,-1,223444365,983298719,300123982,-1,323662765,841286480,675518391,-1,659964165,290563489,272677202,-1,204975617,-1,-1,867090985,917048401,993154741,-1,565695512,259908078,760646904,303959971,545285279,-1,132833700,509202945,-1,-1,-1,810372971,660484688,658952920,19581520,-1,-1,806407587,458556233,-1,510577992,384935187,856877644,85750892,695438439,-1,-1,613242185,-1,709407899,40518845,-1,256146490,547763572,-1,798127182,315318556,762423266,-1,515280079,-1,-1,37586843,920264877,333067089,243932256,526594991,381610415,-1,70242288,-1,373643790,479790786,68378910,709704299,-1,577391172,-1,-1,662133728,-1,643399791,362317351,419161805,-1,-1,592161781,891334019,385123893,-1,458124916,586899701,220677697,112747003,773444403,-1,-1,-1,870223445,493754270,818485331,581694944,224021657,71427648,192433227,111960501,542571751,245403999,213415333,666404738,694992085,673498215,-1,-1,775320347,-1,561704331,45400836,624724340,498341341,552954156,-1,-1,-1,440993931,180070696,-1,-1,860518950,944242403,320011965,-1,129119606,272754297,204414954,-1,-1,62985162,36530945,480459111,573123283,189503951,238289348,966503812,621312039,833778841,-1,245167961,-1,-1,105598127,-1,846827920,-1,996988327,-1,115618079,370812611,218069994,-1,317597893,-1,503354514,87285460,-1,-1,920668561,-1,881689890,-1,238885031,-1,-1,442832451,477967979,733266759,-1,915128749,989738551,209542136,753115426,740353371,-1,-1,-1,611612430,-1,785833533,-1,-1,385839068,69650176,784088564,748542500,-1,386252272,955522789,507013684,-1,593213593,905256168,272716930,515374630,198763422,921521592,996847154,-1,449775792,-1,869885445,-1,-1,427878549,15345470,-1,656204069,451842458,697313716,41296689,706601230,480921486,-1,852091550,464959963,512104857,747311844,407831554,-1,831329166,663094266,943265910,550100023,803962152,-1,-1,970283582,624348656,476454419,37969382,27731166,685242378,-1,791897381,275364002,773396361,782065889,522786262,118751444,868714340,504714554,-1,-1,584620250,758763435,-1,-1,858115535,-1,735649228,333943809,811642251,371939288,-1,-1,281564084,-1,626673290,-1,-1,-1,-1,907116888,-1,-1,255015218,-1,726957018,-1,817833177,-1,414871791,655354902,-1,-1,534430597,990609921,597598129,-1,563104204,918748869,-1,195923814,408757006,148077879,-1,410375531,417938164,530864403,-1,616744805,-1,979460726,821530643,773844023,-1,438774942,924041103,-1,846130619,-1,324396628,417663181,-1,-1,611436321,425763500,516951984,368383954,602806119,255663244,902992450,840797806,558694183,-1,948420826,-1,308317778,566439660,135940225,696264867,948776160,695048963,643290287,629632627,922543832,506162107,756182359,-1,-1,476132609,346106363,478765317,-1,527749909,227855995,-1,447000732,138618816,-1,670532177,-1,201685847,-1,888937990,770819399,220867920,-1,-1,-1,800073629,821981429,429809322,-1,-1,794448862,-1,389169857,-1,927541518,750401995,-1,621258935,227479032,-1,-1,-1,216756893,587057541,-1,33791331,954887246,527441347,408270629,-1,43329811,71516385,43417340,508821370,769702378,537612630,821782430,961808217,228638850,814367799,3921645,962870398,590724929,521084292,58769379,436793534,123317013,-1,37458054,-1,361495486,895465263,-1,642899725,969569454,-1,-1,937953741,757148889,-1,-1,661813451,-1,664174555,-1,761428599,-1,678913004,411462653,536061274,706952662,-1,968859930,490986278,480695081,-1,749613989,-1,39172380,-1,-1,24460823,-1,825991735,591278547,54696267,-1,-1,55608572,41717373,27923614,15945804,750067385,-1,-1,583447407,-1,677885798,101543361,249887477,-1,419022277,307923978,632237845,671550223,99366676,306980248,527686734,19335808,-1,12463919,570805757,617071069,828107461,-1,624810226,-1,-1,141195779,261607354,768103629,-1,-1,612326591,726790167,-1,910220688,739407232,912242435,-1,260594735,935058320,-1,-1,443572727,905431411,-1,-1,172181967,-1,393710222,-1,270521835,710753182,420412572,-1,-1,660712855,415450249,83437367,165505502,935581541,101456290,467427191,903914297,848100957,-1,-1,-1,135281298,-1,-1,-1,-1,340222190,582063445,561399722,484917849,-1,-1,598602916,90834551,419066600,-1,729124951,-1,539539667,822053513,578539463,807563648,421974855,-1,-1,-1,973733233,670497797,76745577,891994450,96601512,295278530,571435510,320859410,-1,-1,810468106,-1,-1,521626986,75829645,-1,-1,-1,190234590,969509171,928350064,651394066,212723676,717929453,755659774,109187776,-1,834155855,70703156,981872211,130189746,82292503,993037008,977364862,674027952,-1,989707030,-1,782159449,246866367,18817634,-1,926538427,365838679,809645196,354475687,393091457,376369738,-1,539240477,160146517,-1,4638169,-1,-1,263247487,53794550,-1,124244394,-1,455256729,223399022,262288227,-1,-1,769336543,23000395,-1,720404245,606833109,336581314,452226679,68896963,192634651,844105011,537804444,-1,33734,757848086,851759441,666635696,-1,804920538,815464796,841563014,119646476,391061871,-1,-1,400001151,438355995,474681503,51216521,749109629,-1,-1,550860072,-1,467831003,185892491,298070065,707996851,4371199,262319603,-1,665846139,-1,-1,232048974,-1,-1,-1,-1,367598207,-1,-1,-1,928399261,39304494,725021358,729145425,67455279,592078409,699713954,384442244,-1,409022315,729275949,139901605,-1,-1,733598626,435211853,-1,-1,-1,171637473,574141681,-1,465820913,254324178,259793078,445693895,-1,191139337,-1,660638,-1,-1,410883784,218352243,-1,17580625,-1,-1,53077153,-1,962673712,380935437,-1,-1,539262616,961390778,116777432,-1,-1,415912324,-1,688848286,-1,105863566,43233156,336437772,604616658,-1,55941867,706043775,724527547,640005515,62297309,53434344,580893330,-1,-1,-1,235402186,790810792,577967373,164055973,33073425,736154886,542447600,90319527,14178915,604332613,-1,639315676,188525397,189924835,50325579,-1,550207945,-1,827382828,-1,-1,482912327,193142834,-1,489375200,25513818,962632490,109679346,639673772,-1,-1,-1,20526104,-1,-1,751014709,322169341,50392995,-1,736974902,267306540,931661648,659314731,661150325,-1,944729818,953623536,128609511,234760585,939895721,-1,-1,423966698,414751333,-1,-1,673905602,-1,241949061,-1,323019538,-1,-1,-1,902134476,-1,-1,-1,548069485,-1,206515757,392468601,973441970,-1,60604365,-1,-1,175370028,708722951,-1,167419154,133911873,-1,887964863,709899333,643760321,-1,92296349,432027110,443443458,554508032,-1,849064980,366729344,648612756,247165521,474444394,133492733,287375645,613075845,952406915,960082923,254899805,782008101,302278719,514541361,143857955,478014136,30216591,211299051,463961759,-1,30300669,976550750,936792556,741836668,712558593,-1,249897698,505000863,280857090,505177210,746885197,899860290,565343896,520732051,-1,870280539,-1,-1,375645856,736450926,709920594,291522018,-1,300730667,523997461,920648324,-1,-1,784227962,122931145,747196124,-1,442558815,105303060,-1,462369697,801209980,-1,-1,805415935,-1,44550166,332142510,792478587,-1,571930499,-1,-1,176688641,-1,-1,213495822,828890255,-1,-1,90053283,31400906,-1,249413699,389946861,-1,-1,-1,693610177,687870480,802551037,645711379,-1,358313151,-1,299053180,533065328,427584517,-1,394848706,520803378,99354364,42794176,-1,228969023,-1,-1,696286313,284070257,135204495,151820918,377484219,159672566,503552979,203741988,142057820,657834111,912161783,-1,-1,53086285,634052405,830348042,888398426,341269928,911085168,561578075,250258875,-1,268755907,445798245,683950820,982964794,640890591,-1,-1,-1,592755648,-1,222661747,720131138,761480044,-1,-1,697743681,-1,735279987,461944749,439860489,-1,547536514,-1,432871470,747804640,-1,308803039,759777066,-1,898968679,-1,812044150,-1,419179059,824418221,445869219,-1,760465322,-1,968723398,47973805,-1,195795313,788778536,466435048,175931905,-1,718591822,-1,253900190,60008968,-1,377950400,758827313,219362304,148242680,929986974,-1,492146991,71934999,533921789,561210901,-1,822896938,-1,803361963,230207534,918487908,405577322,345437932,-1,-1,721475560,497118389,706700290,-1,641573250,872549890,344825209,-1,404721728,154090248,2602214,489139590,-1,-1,842737183,-1,-1,579525483,618716858,94502013,630602208,747055671,831284705,640001345,-1,931375674,533572707,612255449,381452006,334683056,-1,-1,460599329,817172545,369101297,360493102,-1,314978576,310718307,708119639,-1,887114341,723877703,472623430,418573500,17585707,938639799,730769132,78546943,352195075,-1,71315151,-1,360152659,-1,962816137,64068469,251159031,243267785,277686633,88281516,108759838,312192325,695574819,-1,250112795,607997142,838503147,-1,436693361,668846223,979613063,226084393,485275777,792928990,63364493,118915104,627218454,534878642,-1,841470718,31790443,943642976,-1,577058412,384761408,196419001,769137158,478677057,660942817,-1,695125556,270391264,-1,359405458,966182183,981734167,637877968,-1,-1,-1,919122327,820402411,788542194,70475895,946989809,-1,763414181,58703837,275172145,7098402,760956008,-1,966707150,829893396,931076044,17567800,526634772,-1,-1,606309152,165722666,87849793,-1,-1,-1,478754905,253785760,576936068,228520161,283348285,840361598,384542905,527405207,547087425,742444608,757187452,882224691,-1,355285891,883716233,186587213,-1,640897217,136532109,350116943,-1,200348068,657425053,815713799,-1,64795414,623923804,710991585,-1,836890212,-1,365497006,-1,964473062,927743808,-1,-1,894493048,944823520,853608695,865944507,4976082,302901943,-1,84707009,-1,-1,55702804,-1,-1,-1,642312173,526058562,270996282,732496923,-1,595745784,127993324,846219725,774207797,741357081,293662453,-1,-1,774360506,994614237,-1,-1,-1,-1,39406164,253884174,-1,523201796,681633066,281455996,83715738,690788658,844040405,-1,-1,123249664,-1,941005596,-1,961082211,21596811,715044723,-1,658594828,159158442,239685396,209945766,387105971,937689876,-1,655473896,972779050,118926528,-1,739493798,399977835,-1,733896625,439866580,478986617,611826169,-1,996222443,573356051,-1,63734122,407120429,304952418,-1,948179964,521613905,-1,901468899,202774042,841617274,907861331,571448819,816224947,827023514,357177665,389612332,803285177,917123956,15652291,388175425,880523191,280687889,262115995,968138388,841417212,903267366,20315144,-1,577199149,412838646,745476841,-1,622239825,411626887,-1,918129713,-1,695400219,-1,199884515,-1,652353565,-1,34803761,436055341,546995780,283440283,-1,598676093,-1,-1,643822524,209708203,39314983,147722182,620401272,-1,673155467,670048372,-1,-1,540166040,611019452,472335244,24901811,765627252,-1,838547433,-1,103359452,-1,918559822,-1,871758021,32183306,891511828,-1,-1,668737465,465459108,100530983,113150683,-1,-1,-1,-1,601317311,299214554,677796481,-1,112289536,-1,146591682,-1,-1,393106304,-1,599319490,53179525,256138269,142973519,-1,-1,-1,250860118,60074870,363874330,-1,534041291,335601107,-1,1041331,208001112,303971373,-1,698260069,-1,18834096,-1,369328873,-1,-1,88680940,-1,-1,-1,242385914,-1,820628839,584695228,-1,-1,-1,993660158,-1,-1,614833569,-1,495538404,851999240,-1,863200429,-1,164755833,843380230,843103235,633758745,-1,775384776,528802743,392063078,395976576,539151163,161941564,-1,32406422,-1,514026234,523266217,-1,-1,736409644,939678978,58111744,938180525,-1,-1,563511288,442686742,-1,839630320,321838594,661627979,59657202,-1,-1,980787531,-1,-1,72116327,-1,528703046,938342312,930392760,827208329,759135397,178090413,-1,774407942,474016897,340757358,973276724,305350757,826089682,652711508,-1,11760936,396348771,845124877,-1,324713113,954614192,758517716,806306919,-1,723039894,638103631,-1,-1,-1,-1,311147784,879654180,-1,813197594,428667986,647796036,955263324,-1,651153450,525955326,33428828,-1,870284307,-1,587510152,-1,936324005,538125187,433390992,492523180,952775225,242404229,-1,888746847,-1,617491446,494482505,-1,79268684,-1,-1,77471557,372484809,826308568,-1,-1,915921137,121775713,-1,-1,739731867,132719529,34390544,893469934,-1,-1,663081083,741273946,584029436,250757615,746462501,-1,709368080,382304614,767208928,-1,456991781,57151782,525922773,-1,510941939,163225506,437203900,-1,-1,-1,596324710,740224642,354998156,120123307,43838386,-1,568687720,189499527,167842323,-1,754084118,568209637,583881231,138641498,-1,903145950,701365608,-1,961260756,68498233,848002147,25787920,-1,417101643,593622560,553153648,162456589,456042132,78120019,66825472,908140785,229416686,-1,-1,-1,-1,866828876,326941657,288761141,128868051,773415707,-1,885625170,-1,800962012,366125876,186348989,598461086,949270539,267712278,197228201,-1,110904339,133869459,589944015,697028861,428778085,-1,121036095,489643344,-1,353836344,67867052,129185066,35864711,-1,489037230,507080373,194280051,636321099,-1,-1,861158008,603944961,143690191,423638440,209546713,370384580,644225257,261671555,479795789,-1,948506058,824122377,293429006,306642076,620096322,-1,-1,814607824,-1,340386573,434709786,375857931,400193702,886603318,296105953,236991649,-1,19294886,625364859,158039195,835423552,-1,32394048,946165086,1852653,172372718,298281867,541688192,701535153,647347137,148582205,-1,208935144,117865804,642951032,436453999,-1,-1,570989630,716661140,515585207,715592622,-1,-1,527361402,105660176,563273577,-1,803165379,-1,-1,436565076,-1,-1,634146273,178555728,517069629,998630710,760059425,665702436,115724809,51341786,324091335,274120527,-1,106897356,318972946,-1,329149017,863929320,613201611,-1,266126635,699598115,-1,643910472,-1,721609671,661553526,-1,20714926,139272388,-1,-1,225885961,565215154,234660634,-1,714399449,-1,-1,-1,-1,377920879,434317283,13998894,282717962,890448918,-1,314285233,200508803,-1,775677109,-1,230293642,250862732,121532380,174863551,-1,541426606,828336734,624163888,492426689,831133118,844491147,412150820,548340769,855963288,-1,-1,-1,234278246,894988896,-1,501921697,800298515,-1,-1,-1,453223618,919457669,53633091,158274989,-1,-1,755999636,399214750,155057871,381324272,400064288,326812709,843402622,588087907,631728878,-1,-1,-1,-1,366650591,-1,206006338,766540687,353641776,76429337,-1,336218510,658534974,539741052,-1,612010013,149158610,-1,601975074,93160208,262978035,-1,459763833,534562127,453206056,374545185,983950188,-1,297227262,577852816,644910651,43025231,-1,933585375,549373745,-1,-1,20240016,390962740,563527505,918367905,56174110,599355570,829349901,540349350,-1,-1,-1,340100517,-1,223305471,857820880,-1,841321383,543252798,951724466,-1,-1,-1,7274041,-1,589721448,-1,951595695,477323546,-1,-1,913457297,657516453,-1,680306204,151585305,368818333,202533078,-1,13646530,153047701,489297209,180072178,61613336,97808943,610191473,583039015,922496353,126276408,567196640,509137930,-1,291235566,824299493,-1,311601625,186383099,506405728,311338284,902240688,110369591,886790038,-1,-1,511268019,-1,338473637,-1,-1,346932048,287526752,658814425,895598917,-1,-1,-1,-1,734833129,-1,-1,-1,836291352,773776928,282412955,-1,942445360,782458380,846050946,-1,889092370,-1,-1,981139917,604249450,391189982,919162180,407351097,547402757,-1,-1,500751977,-1,920403241,535229848,427328135,919315202,236074653,704779769,545652992,-1,589868788,561799458,-1,832353360,819080473,40014657,-1,-1,-1,-1,447572407,343002027,709108129,-1,-1,697382939,374976789,822101882,938918492,117780896,602085540,554593419,785839303,922903302,484097333,426881155,428326741,1390605,-1,26345441,-1,738333752,420971242,739198439,229963240,-1,842015242,149567250,573272738,-1,-1,-1,31007241,399380343,-1,389390085,-1,362538255,126145837,-1,-1,390119799,-1,-1,369694727,829932193,-1,-1,769082592,259734910,624896186,-1,477432173,-1,601741421,-1,294217813,926424997,-1,462338311,405398694,899440405,489874139,789391062,366749836,328503637,220698202,462189687,417103196,-1,714416491,-1,-1,979904994,536041708,287873800,252755070,857793023,550305222,-1,-1,-1,-1,885052886,-1,128378969,979297565,538318938,329754937,-1,686304974,637859532,862447867,168715021,769144784,-1,802998077,-1,201583320,856996637,-1,497153895,44465853,946138381,501336453,-1,281954174,996210294,723482092,-1,796175822,-1,-1,-1,665615384,524927389,503572558,430506382,716636462,22295716,-1,481108184,-1,620127044,-1,340548421,887154555,719724491,915814075,714001742,565342002,753559689,-1,395340718,906886936,989974973,-1,962662601,644268315,-1,892899074,-1,-1,225952048,-1,-1,-1,-1,312075310,-1,-1,582004815,-1,-1,489453361,-1,-1,-1,-1,483859750,446477771,674325210,295215870,77466417,676607030,590842986,611205949,352683431,840857391,-1,671046648,-1,304194185,336421713,-1,405449592,465072076,-1,957083078,887597298,907996928,-1,357932336,-1,533477850,133376087,-1,606607100,191596634,150587449,122068545,-1,246342010,-1,436868612,-1,-1,-1,337770150,650068711,500814951,561381125,547767091,586217343,246416165,933271191,131523638,-1,-1,944159552,567897611,-1,399035406,-1,-1,784614687,314980743,274373936,241736022,629108419,836150814,-1,812696313,675888298,977968105,793804320,708989415,691035873,477511846,404814380,206623246,-1,926343910,311546375,792680789,-1,-1,-1,52490969,831800582,265491208,436807534,491322718,-1,-1,-1,201147619,627118746,686022573,-1,-1,585020294,202969454,704642025,25739640,716821181,744122691,-1,164267120,789264931,-1,-1,138070868,783479190,-1,-1,987689225,797084740,188343011,202486406,768362341,-1,531369932,462142033,570434219,721197879,-1,160118338,-1,245319025,-1,-1,470129300,997822087,762337238,887763962,823285763,636198699,-1,725082497,156668818,798762618,472231486,982025653,276823673,987895677,697069998,978645256,925806801,420541690,45730698,-1,786266742,603217581,583504515,-1,923139190,866192041,947127662,190666174,623390991,231047645,26574076,-1,380693259,-1,130553660,322546039,598651254,760302995,910043560,-1,663797221,545961469,304304160,685084954,-1,667003769,-1,658536405,498980031,747777180,912960661,-1,280238055,-1,-1,-1,224041588,997010201,313518744,-1,-1,341153061,-1,-1,438802465,351164053,-1,433767385,-1,220843578,-1,-1,-1,852277749,-1,626025714,522772038,-1,552846537,-1,741189767,999198654,-1,347282683,-1,528763007,592697120,24280693,-1,585508196,90026510,394859841,13701118,961931301,513660748,615162076,-1,59469597,827373230,872161994,-1,-1,-1,697498468,-1,361024119,119282212,54193407,702317767,889683022,-1,975934131,1233940,609216480,-1,-1,502602176,-1,606854874,588797224,98169864,80561939,785190538,-1,302805653,625583427,122688682,427590589,304010369,151760400,-1,138382829,-1,19402090,420216977,739616215,910887115,-1,761598124,404501890,766882240,940879834,473495197,737333556,741818938,-1,-1,-1,-1,198963934,-1,-1,980449538,-1,125720183,377099507,1801840,920826792,908920220,201698790,194237140,355444628,281279321,286724473,447744247,698115923,325337159,714374450,-1,362338487,155694694,940504879,791888201,144960053,190143584,182423398,172313126,542874127,641861956,646162823,495650578,971631452,-1,-1,240870608,995238302,525183205,174289237,-1,872217400,111823070,434376182,580006220,409115566,832116691,106765315,118006517,604579165,382138528,577285114,438850832,793891823,-1,679857310,483745032,-1,367331931,-1,347050373,553634485,795941233,285009423,442753062,-1,817893060,547520318,788100336,469900364,712188795,25553298,164364964,-1,360973738,348685541,181739793,797314562,777786389,-1,840010531,815426004,648362020,558800204,710285221,495568773,55266115,834182675,-1,603152995,-1,762171089,647803327,755989932,759737001,157187157,370862933,165474859,194797371,-1,340665978,291152521,16564376,-1,662277894,993389489,964492378,172963130,-1,145743593,266068841,133171594,-1,174797765,343802304,-1,151038890,95378832,-1,624683647,-1,504204521,207653257,870629346,941216686,-1,536307716,-1,68994498,779907926,112542215,-1,-1,850616682,997807913,248692670,137776182,-1,727424791,31747171,709743706,833513729,-1,319716803,646602186,-1,972790378,-1,802740219,301464061,173198107,-1,407114829,-1,524853538,944156915,232111769,237624188,-1,103782622,168231874,697360732,591183594,744423361,-1,526142904,68793671,373981194,881863145,467842276,255996987,-1,324641797,-1,794059095,-1,-1,-1,308719634,843888121,439261015,975645005,180024180,236703634,304350348,708528191,-1,292129385,925800677,125151575,282798887,17225334,864583409,981455445,556787233,580581943,335295683,83855293,657325460,790072286,-1,-1,-1,299344507,358410134,850251032,476566501,-1,764704599,904617265,-1,-1,827741532,500714340,-1,638960849,172896343,544240465,449713940,710232672,-1,73911460,823665254,-1,336936658,364401953,768114402,257918039,217206823,-1,-1,169788625,440777055,-1,-1,50529726,761962271,688678824,-1,279986260,579899074,680886645,-1,-1,588593465,804697983,-1,443012416,-1,714007031,860910292,-1,899968197,82987836,742451748,100324442,-1,93588739,71486943,-1,795569978,372633216,668759502,-1,292649361,113742453,249872454,920882826,-1,468613217,624271043,555476744,821637538,-1,125276695,828976088,924190754,959426937,335339915,323506599,-1,632442792,587504105,-1,461017971,819677256,73664239,-1,370334681,49357886,-1,871775783,155235246,414318749,978215551,376409245,882283583,173137074,649859426,361450998,-1,208598360,297197512,133677926,-1,857204620,786316871,-1,770391090,-1,187296852,251943167,317954992,815897983,118842502,981997717,356646789,100506413,35669237,727727249,106185000,355909894,-1,458896643,809489811,821586154,211401675,958018960,422299480,690807936,956603634,-1,218932290,-1,-1,553807530,823566115,-1,-1,966792353,603819832,-1,-1,920847371,-1,-1,644456138,885214067,230259915,917104848,492198178,270107073,-1,776323161,71505137,281912944,67821348,998517169,543035180,97628268,-1,843913621,-1,-1,288654150,-1,346266754,327801421,198312764,70407735,-1,464026713,795402127,708942183,448077884,168749609,56333967,825124473,74446792,662207615,725221148,702879988,492127351,117116506,282187043,421839593,729632498,866040888,120126094,956581845,252606296,650231756,832948404,815113501,-1,-1,-1,181662685,973428925,-1,719740457,-1,-1,-1,347869542,579304008,-1,186034836,237857674,577415955,647172716,341610273,809183780,-1,235286174,743227279,-1,22601615,199766074,983439991,-1,-1,320206144,912449825,846510788,-1,893941509,754340221,864457868,-1,505950939,607760810,709978294,84510241,359951665,869458733,866507064,82419090,646001613,783684661,-1,-1,109886853,794815945,566238877,-1,-1,960217063,306057444,405461261,743587136,-1,115719967,257739100,-1,-1,938800060,714960835,-1,-1,-1,658969461,-1,-1,-1,396369995,18307417,-1,41476946,320088888,821100829,108722986,305624593,573671820,737866500,919290686,658241127,887255791,489664855,67562882,267641837,837177249,-1,-1,828050902,854204415,-1,-1,999606501,-1,-1,138369171,745650902,632591192,560865542,570889733,872686614,614694200,209020112,42320698,-1,323992332,592042611,444525017,-1,80981348,-1,892685780,821211071,56159299,830230641,692687382,796144773,-1,-1,694832285,-1,677550848,49995335,-1,988760729,421166870,-1,801557897,-1,-1,757434878,213849016,446178071,-1,-1,-1,347252115,-1,182799438,755642113,13087860,751938237,-1,743980151,-1,371330475,527406934,827105206,-1,734972680,514777073,237090673,-1,764367870,271067808,487956699,572806605,73059210,159609834,921805397,316527075,-1,533380591,580273401,814940711,-1,28998744,-1,420309079,-1,-1,657185929,938713211,-1,479631622,-1,-1,216368398,833161304,371419663,749746460,856583278,439554793,-1,-1,669522318,-1,276650919,390444165,-1,414158899,517216202,10437019,964971685,321730327,382197132,878537017,643269962,342838557,584676026,-1,926083487,-1,570173601,562594221,-1,956082000,519135678,-1,-1,834747104,217532483,-1,153265692,517277996,410157398,895098333,207012750,-1,-1,295179739,-1,-1,70876103,703939530,-1,984548348,439140377,-1,-1,854876998,458137941,2337747,-1,205869423,-1,129100565,-1,-1,897025365,313228152,-1,858637158,260177168,673930746,907296271,635252324,156701796,950468661,-1,883062488,199845338,212941171,318413599,510343548,298700003,698289558,993222540,77859119,-1,552283498,-1,441363197,477163736,251363202,712816986,-1,503282481,-1,828290980,587022974,367459963,228301265,316134031,-1,-1,470941502,166433728,790054141,227797768,779136426,553443917,-1,230631918,760460542,459850132,-1,658141369,581029365,-1,782842648,478706781,484759328,837967933,252875774,825499581,-1,90783011,819590472,832084647,-1,856393989,864711590,79664128,-1,-1,852797602,567750103,-1,49341226,710212986,865971431,448882944,511291268,233097646,995431747,807890823,201647214,793892987,529133597,843971894,-1,657519308,141474232,-1,88352205,838326370,-1,487189564,59810648,223203667,370407872,419965113,114233038,-1,28884711,504969469,637407889,-1,810190726,-1,781942623,-1,791128799,972838881,-1,-1,156703116,44913464,875325940,-1,-1,352482269,-1,606439685,311710497,-1,52597514,-1,373819176,914749621,409965037,-1,-1,-1,730432051,-1,383262137,-1,-1,-1,216380932,783330417,761584220,973841334,578266257,-1,-1,478461341,830871056,741859468,35676689,-1,313328622,873779310,444830615,535144757,560380106,260894399,445290453,15095032,902950266,979229112,731172028,871554748,851994592,632423608,293837204,821189087,65301411,680150121,103241018,-1,-1,287990942,324615891,105937885,405129633,-1,61022239,-1,642030007,-1,252690661,830329826,747951989,-1,167449983,670196420,422891297,377615905,708340203,277354199,369021675,-1,826645665,80321236,32307516,541227501,423913925,-1,-1,294753996,-1,-1,814145602,194375688,925604124,895172254,408041088,661618315,340755428,135777548,148898629,226651734,-1,758751213,-1,592588409,600237290,-1,744828618,860517200,-1,966968463,974842199,852405670,235002318,548909882,231094271,-1,-1,276693034,1800988,812972274,-1,589340454,257741632,-1,-1,141986597,412903744,653178488,-1,-1,730180568,981958583,674278074,892830698,689056064,-1,504686185,553395272,8318007,-1,918810295,-1,937755205,944811860,224556832,-1,464479686,-1,-1,241943808,754417802,-1,-1,-1,703839347,165957347,766618604,850552813,661811656,466983707,-1,556197358,-1,-1,-1,262724766,407944308,481229495,568860816,80385503,694667052,7035780,873129722,-1,315972614,297689201,-1,-1,386751183,643764822,84395013,-1,-1,303824007,254232351,846120708,856713122,118896074,245513996,470976394,777489534,-1,249814642,791976549,-1,860381609,16326696,337398505,-1,986453942,637682863,-1,502179815,902711800,271155798,577771225,-1,995312236,602156486,-1,361932379,-1,650565620,699075552,439054182,-1,-1,316228884,248954528,204694521,-1,169409593,-1,124551154,496784234,4940457,305893934,-1,516550419,143096548,572443023,889149118,313523355,749962726,26813609,517974743,335501481,885297545,-1,454602766,954572213,-1,819710009,-1,344467922,321714045,348652569,795007535,-1,-1,444043072,203214874,328700294,589601410,695674854,-1,3935053,-1,-1,972004645,714399540,941847255,-1,703930040,83380369,-1,612509126,61052743,888507177,919638308,695198214,242208224,312614701,368004532,969379271,344742428,219417077,348657627,752069994,-1,411512692,-1,629241513,-1,-1,699117081,-1,922700556,-1,176470197,442152436,-1,569641020,931831502,-1,271234362,-1,647861756,55556224,-1,400451492,37170369,980280671,993149718,-1,299492003,350261006,585569282,24351588,366118104,549059783,155866104,166498422,656682103,-1,264957170,156811185,-1,243777829,-1,-1,83773649,802450692,581758905,177371393,589416028,-1,726051859,394734188,66345094,225267473,-1,371885198,905872869,998698233,-1,165168015,397410418,871406061,483267342,249927610,978382094,724496502,-1,868142604,-1,658095790,693792109,752783271,-1,473635273,5112488,51570302,130225169,958158379,-1,-1,539960239,406220204,-1,144730463,333127123,-1,721649403,-1,909509522,727099058,491740050,-1,547408015,948889775,120103465,-1,604259899,726556824,856209159,722811877,42124266,5933756,266421744,614196794,-1,857940285,989185062,-1,-1,762328613,597147961,657656223,-1,514396443,530348110,-1,229385534,-1,845676651,237075357,-1,-1,130597196,-1,766821279,315272279,-1,646739637,-1,12590195,807741600,430793584,297111360,175745403,378922584,93846906,-1,-1,-1,-1,-1,-1,321401932,-1,116886596,182648757,-1,620360329,104544314,575155245,358467794,577297413,557758788,573960630,-1,154785947,887880497,65514659,87956824,121209950,621933161,578050748,96696626,-1,477330510,903368812,186781357,330820086,79403120,509236178,146104140,67202297,89358441,-1,458902074,115851204,644892318,601360958,168469391,286890162,81512212,-1,205962941,-1,100704805,401172238,531536094,-1,994309572,427397088,965252558,564319015,85820483,-1,452792753,881513881,769088307,-1,525851242,-1,47620290,33469329,-1,147199818,-1,162289431,880961156,103363838,-1,911845314,157373388,995663859,-1,687028001,793767916,721334174,-1,-1,-1,62962544,-1,674455621,578392770,-1,682565904,-1,760882227,34370185,970579873,344759964,422882388,-1,903940080,881265067,-1,433877672,982675005,757073145,-1,682390924,-1,675412748,640787418,942427481,560325251,-1,510186969,-1,807602398,-1,516721813,359864676,262962799,878982493,177762723,117388418,-1,330283914,216184276,-1,248223459,158035844,-1,296369991,-1,-1,-1,-1,795617805,873818899,964662679,-1,-1,371026580,828754689,567565254,87906163,656669343,-1,225466329,948121787,907224687,471648184,-1,449871535,638454744,180973142,929886387,-1,-1,-1,365646194,836166212,-1,490012185,661942719,446818118,20107922,920723648,743546898,-1,978311875,-1,701550946,621144350,958728328,740134257,-1,737713153,-1,762547044,-1,925899069,779518942,786741352,94344395,-1,741901355,891034031,706045658,-1,421364384,-1,-1,-1,607143085,-1,122939101,-1,401492778,-1,-1,98039488,-1,976095990,260648926,-1,-1,399084541,-1,-1,383561510,-1,979652211,107274245,1931958,223367867,127140759,572434187,-1,-1,868836089,-1,75352553,223471108,122353655,813453274,257088413,608209868,90978531,906171774,42574462,847063076,300453223,975290637,-1,398232673,999403894,-1,682802703,719273798,809746514,128410136,-1,828141589,848746428,325139225,864592937,184044542,-1,-1,518745530,457253840,410843376,475834212,608076674,825775150,715865005,218883917,162829977,-1,66847372,630572933,273009504,540307652,570585664,-1,-1,812634952,180398181,-1,-1,-1,-1,111247465,988487862,124928519,191353156,-1,266667948,515144015,263914109,769824439,195366451,317418629,34189612,85499412,345460517,120390838,883281404,34541923,-1,975489239,218816280,350043215,678956146,-1,-1,-1,430893297,-1,-1,240559532,-1,-1,180647455,-1,-1,-1,132749754,842511766,-1,460955033,-1,3026093,762832997,368645749,648992765,-1,-1,631747887,32986074,699781070,677422330,636421929,885761484,139920179,274983942,9735866,517106772,14614864,-1,298049221,-1,-1,973726690,-1,-1,-1,197864910,171594201,587952752,567656797,518308661,114070572,706021232,14629726,729058771,-1,873794193,862171130,402065008,697976221,689783540,426797006,-1,56215630,505971281,-1,606377215,720622510,-1,506810866,188471793,914149153,201036975,-1,-1,-1,430799796,-1,662528464,244360918,160202014,144512576,139493760,633588839,861068793,-1,596126161,-1,-1,-1,371454220,158727496,605303492,-1,-1,186641760,818566411,206661706,564517320,942934509,416831363,-1,930455810,752748924,495868175,831288700,118683597,-1,458755820,579149289,591470318,108814083,269429598,436491213,-1,338419632,905493623,309115340,998453306,757949340,-1,-1,-1,59460889,-1,3866663,6077173,38986848,546648585,173644497,984625106,-1,-1,-1,712228022,-1,93901246,884785066,734084248,810331186,119187389,-1,-1,-1,-1,555471356,159069446,-1,196285771,-1,-1,211242675,571967754,-1,446334194,51541123,422255823,950808022,642957922,-1,797031243,274337402,212008150,82008107,219538465,-1,-1,86400482,833223466,493206488,992553890,491582353,-1,-1,501848005,570947894,305134416,435426545,-1,409832374,430274485,909259163,644569647,526799620,931984503,721328913,326575551,408618015,-1,370674222,656575078,626740193,-1,716731907,339706105,-1,983361313,259290170,835259587,-1,352547232,944895212,-1,815967363,837427512,-1,690775385,199986128,-1,434924193,81819704,-1,731286420,523829975,903483336,775514467,-1,235159491,187477954,-1,821352724,-1,848483236,-1,307342497,52962484,43417610,664299559,303672241,-1,21564789,-1,-1,656252159,-1,431308237,97102195,-1,440684911,465124242,480775765,-1,239440549,-1,-1,430870693,-1,903935652,670944893,92038939,823800546,695295605,754399599,-1,541303178,99551569,312751829,922414585,101708053,623509591,208819103,499403410,-1,940824038,-1,156863541,85948727,515361533,425210137,941795209,725807847,316185885,359034295,614374160,-1,-1,-1,15311562,511282710,-1,814846558,652256914,769530009,918143642,-1,515520978,773827830,373515010,-1,355530712,-1,-1,655055823,150632474,-1,434062869,-1,736641960,396289091,156214467,294574864,-1,-1,200455874,39808215,-1,994236881,973912812,-1,760431746,-1,118859125,578543660,-1,-1,623647682,410806552,-1,-1,408819146,-1,431510829,480338508,31537953,-1,782085225,447252921,854623778,381596416,811324389,-1,605825616,-1,-1,347685581,236146237,308274099,948890051,-1,-1,-1,-1,-1,880423687,462048701,673374275,574961687,808312884,383324274,-1,-1,-1,381133275,1026683,732196905,84227439,523606139,-1,129170190,-1,729931242,270304408,551903488,200199611,-1,957172995,-1,329863749,-1,37878491,-1,144388618,175080569,507068819,587265629,60625496,716347363,413967239,784723070,-1,47149896,615283009,242467823,-1,-1,-1,766882579,1026669,-1,384282615,-1,-1,952823651,735138631,788232258,437363427,746303002,365804294,551674424,817786084,-1,608520412,987025050,346097802,506466323,308809759,-1,220747965,-1,191195769,512950572,110764610,298619855,871805700,565617981,-1,479609796,50789084,62775212,135269350,-1,796874822,820858034,850640629,58591453,-1,-1,112991064,107044786,-1,124414286,873958409,878439592,577808669,143017873,211468326,-1,-1,489304245,754998439,-1,317598856,173112486,846486400,795115044,622576849,82895252,-1,888636442,285420707,33574404,-1,293315054,-1,289752655,73708006,567961880,133057002,512294301,630236947,929303930,13268932,-1,252905657,192710852,593441644,640847976,-1,963489067,999257331,-1,930460528,651214205,305660900,-1,36550806,767593751,-1,919210624,-1,8258455,817531810,970262536,756191893,-1,926953175,471243177,682515311,22276824,375631324,490346007,199369788,-1,902882796,553660852,853208305,383894840,-1,254690265,-1,753045325,-1,408509622,-1,168832563,778058104,-1,-1,-1,-1,256341906,-1,948233992,678087839,-1,-1,-1,773000315,41642488,995019329,583578620,862828607,30721436,44406396,711621045,573338465,236351922,-1,987830600,692008676,-1,568137491,-1,987562266,-1,432333862,905564088,-1,-1,-1,845949975,-1,-1,-1,-1,905969475,508135056,669055013,815450365,292033767,-1,-1,-1,624255185,380475557,390362316,579061666,-1,648230380,37180390,381156657,-1,402060521,830355163,-1,449094737,90284889,80605617,310996186,694797293,485707091,474844289,945235159,-1,-1,368257654,866259894,862001589,342027314,-1,845117053,356601052,126785908,-1,-1,-1,-1,170344101,-1,993157353,763407533,936632689,597779220,-1,-1,-1,-1,275390105,339683441,-1,-1,738104665,-1,708302015,-1,50919525,-1,268187143,-1,-1,683017167,9980065,-1,740503146,799760905,937246509,445415128,-1,-1,713130687,586090160,368325646,14126144,905445202,773370823,296826412,134560945,149649380,152245539,18688663,59717130,125849667,939965299,192330000,966818912,478206250,474600411,-1,326210336,-1,-1,532323116,320999303,913538603,-1,175711986,105514104,-1,932171528,-1,-1,986990351,28496068,751209983,-1,662743746,465551993,409540256,237783027,506611659,498625913,416529536,684813484,387885658,809362023,953704064,-1,188066054,502710883,-1,-1,210913021,480417076,457404135,430285497,107015874,840230026,955180199,505721232,524784521,100873143,313715832,502940434,285418980,164126933,228019889,810843750,-1,-1,682940084,-1,539094353,49951689,-1,-1,563040406,-1,992728992,-1,507994854,-1,657456123,-1,715757844,989799616,579068530,-1,-1,860699395,683442648,-1,-1,339846993,309605458,299615947,909247077,752120087,281786600,569682895,267551446,76493790,-1,-1,397107668,556796667,36256800,920956710,-1,797719843,-1,230674592,666199014,19443657,797120889,140559552,164549732,-1,757142462,630194190,-1,-1,453609841,-1,-1,-1,532553691,282390223,728637962,750082894,527586333,-1,333153654,-1,401461948,903899889,-1,220522883,303572240,725390909,948027292,237847965,80248570,361952725,709981496,359911988,918442422,-1,-1,-1,937517493,-1,-1,-1,894129658,47482648,577806809,-1,45109711,664648279,534427731,348169953,-1,-1,-1,959726857,-1,305770166,-1,-1,941245669,-1,66131750,517869193,244876562,645474223,341167532,294995049,769271572,611974566,918681252,523712720,950849501,673158499,243097954,372768270,295470962,645335242,-1,565752881,248963430,-1,660038014,324143708,-1,367243709,307548318,50767966,422804263,-1,446188596,337953441,827838697,252966296,257190700,-1,141378807,-1,627734234,-1,505476419,30659937,782223084,-1,-1,14851692,833135914,-1,522284874,64483297,389320507,-1,473363085,-1,-1,590906498,971071527,-1,59347421,-1,370426190,-1,381032735,-1,40058829,195637369,859966401,-1,546858151,661841238,229047686,567356429,611996227,-1,312226320,468500096,-1,841079615,374755549,-1,216108608,-1,882076370,-1,241172901,324961716,-1,206225930,-1,-1,981625077,504198879,842734026,-1,650660681,418807603,-1,-1,260688216,110208277,-1,-1,-1,918228504,121236228,789342067,501924047,412202133,-1,936491518,9880509,-1,213697608,-1,-1,278321448,-1,32636753,905865296,577033113,14916845,119451890,313107456,710058053,6247850,638937602,733662707,748922758,-1,-1,-1,858636930,485623100,995096491,417563176,-1,203884481,916616962,-1,17063063,205600096,-1,476369574,799644471,-1,731708838,15305439,-1,806264301,-1,-1,980365888,268877051,-1,-1,987715149,-1,120064103,597048679,437176420,927046054,-1,494919638,-1,9975625,129343911,-1,514431457,117393543,609471916,389211593,153115214,-1,-1,841354940,656461363,744318628,-1,427249061,670055188,906596867,552375837,860015256,302649100,284047386,675996786,301245653,671153849,673182943,30066987,832869088,964971739,114953262,-1,-1,-1,761809984,669333738,-1,416567244,214655890,-1,-1,747598403,-1,396045111,-1,-1,-1,-1,323360267,-1,210242186,416680175,922105218,624415841,758172299,175852312,657138342,300688355,484815294,274266592,714080978,793304134,-1,-1,-1,464035305,-1,341235094,687343369,413348888,780589847,352097083,102090611,772570429,-1,-1,-1,415948633,709046487,272763563,-1,955145960,759480655,76063659,774471130,751260379,-1,540463342,996179456,45531606,-1,198176472,6375041,-1,93630905,825757114,-1,682610282,731735256,154679016,515289435,741225523,269750346,-1,330248879,262551665,695134088,-1,120084778,416789571,92879829,549166992,226997387,339371663,11217270,586937282,568961238,921161719,94620422,917951017,925473189,-1,775566403,898736906,854240759,940418979,504044435,554083127,546165063,-1,762808418,938175336,487107635,-1,791215392,973059469,693805349,389874794,-1,103673120,878608219,220183178,-1,-1,-1,974654876,234381591,135728733,855256016,381518003,661453322,173605606,-1,-1,722696467,106746245,13909744,814342725,750435018,-1,299505263,417712380,-1,-1,219530636,825446826,689189802,939937558,-1,906801361,-1,280081761,940640714,911758022,-1,-1,263039172,371439047,162912700,870607724,488607618,-1,-1,-1,-1,-1,-1,879425486,-1,-1,815656310,278596658,287025359,668348866,-1,734725951,-1,68687087,963954248,-1,239391947,976565129,109964379,-1,984502400,790577541,250388316,-1,428355227,636689579,852488715,-1,846043683,-1,838485153,721300051,-1,882392284,227204399,188244329,79657215,291674501,976764758,263212308,658079454,202823729,711285114,989616616,8360788,590159408,653687657,679966091,118281705,-1,342629048,-1,784431301,10073313,735930150,-1,860798757,338610673,144964711,918750834,825122200,727688289,96642920,99976946,633991274,326503426,-1,-1,-1,482410882,-1,593485832,746971390,809413929,260857025,139870554,-1,698349969,559668700,141066234,-1,353004620,335192409,809280285,711676701,-1,39668211,-1,641177440,731258515,496131476,337714171,501683205,811830892,655879786,111038490,923175305,295545090,-1,148437243,261680959,435361693,595683341,11516825,886937826,912800149,56507764,537288603,-1,172317561,99283299,480700027,591439283,688571968,-1,-1,-1,127043267,893202408,664022338,395932150,845979245,-1,300178421,509993228,63420163,974006174,118129178,406302308,660965314,-1,704657164,597465885,392550136,-1,386958620,454125418,-1,410872058,512275094,109235142,-1,470030184,173310936,894964139,134223383,482972569,350280374,527513825,766901950,261642529,-1,560381227,-1,50850944,176146261,-1,939738977,410729360,655266122,-1,-1,578922817,301132010,648741354,-1,255454097,142137883,396443351,747830723,566423872,-1,586255377,-1,613362266,-1,-1,183052894,267762233,361359531,331231169,910266578,290641127,718400083,-1,633322518,-1,124074478,169571187,305841773,-1,-1,-1,308806604,739435205,-1,792539162,809490423,-1,528919142,530817408,930470786,532928021,825284666,364809615,492809787,884521335,552873625,647195163,451754912,392275455,167013148,452845077,280600949,861268624,37417383,143014861,-1,818647496,816506381,44346044,751038129,785133612,259639501,-1,718856822,800732561,218060313,108012247,493586108,-1,141566397,976806802,774318095,353137220,-1,-1,947903368,897820391,257604487,-1,151057463,897358322,-1,729279564,-1,291544126,443529493,733105538,-1,677362144,904043897,762709275,-1,-1,834351855,-1,781185314,-1,-1,447289328,75142038,-1,903050987,662273705,-1,86316074,323506835,615002393,-1,-1,543609062,118797224,-1,-1,827005339,770812499,634558378,-1,-1,-1,819502758,258833404,846887866,275184649,398013346,-1,624464549,664958349,626437151,600439189,463432897,934074552,774987213,838744497,661938655,392804270,-1,-1,105017118,823332422,409733515,486481695,300495789,440721039,337009035,133131812,-1,471121721,96822375,944566574,704982147,263295349,61925658,969379831,804116794,97055079,798402497,239055657,445431887,-1,-1,613543959,138929125,247234913,-1,252635059,524632623,384580306,997454215,840972242,351626932,-1,-1,-1,243793320,483880253,193971339,259621622,445359442,-1,-1,896750620,-1,552818900,198711191,-1,-1,97281228,569630878,263262071,966370378,868454467,106046570,104427694,668537464,-1,-1,705713813,626239204,570119262,275008134,360913401,12644619,336059467,457114259,-1,208576676,492636004,-1,50501659,542442896,-1,695553925,-1,-1,-1,-1,-1,209239365,23564350,102183485,665303781,530202216,591910665,567614631,-1,157200306,381311543,349020294,-1,351650646,880189025,354299144,-1,736610728,66547973,51027832,-1,203545243,369812244,-1,961980372,462137970,-1,937845569,-1,700941873,-1,321909214,256280346,-1,974692561,846827418,-1,467888470,680401950,795993138,851890222,-1,208620544,-1,-1,-1,548802942,819713327,-1,814922132,557077413,80390313,-1,313130192,-1,155954526,803790818,-1,470595187,-1,443416719,322519284,481799645,512594108,-1,4658367,-1,-1,713254185,-1,549764120,-1,465145303,-1,788884451,456657688,927933608,-1,949155238,211335269,929362974,549056949,612028816,447470787,172536794,419873750,823389273,-1,209434906,-1,995868892,-1,-1,659795277,-1,172611076,-1,133009135,-1,-1,-1,503180208,59938983,-1,360472488,-1,327623107,394038626,-1,-1,858747109,990411668,558245060,292493361,700230267,648392857,-1,-1,-1,985751571,264778550,654785288,86399176,844039693,-1,157529081,-1,203170572,711642737,300627202,-1,91576012,333141014,231587956,570043714,227447747,809595617,159252202,-1,761094255,543201645,-1,728333649,-1,947384766,473759720,-1,290451560,23229636,-1,697192240,887524977,48604665,464906926,643543512,737670320,240900998,5626069,-1,638143163,-1,487241286,713558969,367057116,312531000,929715142,-1,217322282,39821723,846199433,-1,198750004,67584826,728493259,80994266,-1,699736254,-1,180171616,529636036,-1,721334766,472688461,-1,10878918,-1,560679096,-1,443405295,888070227,-1,-1,59887539,-1,703557084,13478860,-1,52620174,961961307,32571858,423748802,330799634,642129533,657773696,913999087,676052799,265908672,-1,253985532,-1,102795789,-1,300096652,90679124,947023843,689523679,-1,-1,914024618,483418741,151749950,-1,-1,400678970,-1,-1,937138202,741076511,8801650,95853050,-1,360924135,10977794,-1,828514985,217571913,-1,435551017,841016561,806849967,803647057,467830597,-1,-1,949824402,122220742,752519,948726386,-1,-1,652522905,-1,721830859,799669297,-1,105458914,589038911,-1,154799825,200996432,936519372,25691830,451387791,77557250,-1,881319686,395926054,430235930,334471512,992128126,326232581,-1,-1,361627916,-1,-1,150531791,961431204,417781044,868940743,-1,560051797,711138436,-1,639712719,807704036,-1,-1,-1,614968146,11381660,449337585,855466761,933301987,181122262,172998800,344965764,663522043,-1,-1,185503107,493564145,96171694,-1,703043636,938846431,721544764,264559700,-1,837660,671303219,574067857,259307886,-1,233242894,-1,152904365,392937674,769252910,319178713,-1,299833368,538303640,567074447,-1,533766334,-1,-1,202638566,290882485,-1,348565579,533046841,157920686,107009441,695130085,821392520,139242252,460577307,-1,265732155,126358847,-1,104941872,769035950,-1,-1,810977172,189471803,-1,-1,489296471,-1,91709010,302234377,700952775,666163839,778314203,-1,598044323,-1,-1,-1,-1,-1,583842024,-1,585642891,487241259,11189610,-1,35176071,-1,774684017,-1,976347221,283158313,44651142,-1,-1,731848796,426156054,-1,794976746,90197194,139977064,862083233,-1,666494192,-1,317025455,593350448,-1,278867308,467206737,105646898,-1,814484560,-1,727944543,-1,298111368,209170545,302560922,109567492,-1,-1,963330498,91894954,902419211,786436992,-1,809961672,146116699,20856169,277659688,308393617,175148071,-1,-1,364018984,238376898,64690413,947470464,430612878,586348912,419455823,826838786,-1,514786680,618451876,-1,-1,946423893,860235832,-1,375123689,885385172,-1,980712998,96750732,874416636,300262233,768452781,839936468,253318926,-1,-1,539723487,-1,-1,57236602,336530170,660670407,-1,179759258,629272248,700417994,274115318,-1,984528251,573371230,890079180,695155700,-1,148887779,-1,757458577,-1,-1,-1,974554143,-1,328874969,508584879,-1,921905356,231346536,180553052,-1,-1,229372838,-1,804137785,-1,85128433,-1,844753358,463044514,-1,947943524,-1,977793160,204305476,-1,239785701,472856099,-1,-1,947034467,324869100,208415045,432308540,558929432,-1,621070803,897169062,69928904,-1,-1,442454876,171620259,-1,-1,380285031,124326874,434691969,175410743,126399841,647087656,989732622,735706490,383424481,313885954,849529210,-1,-1,-1,100195873,70758732,100159319,736941124,-1,521765424,620098938,123960151,762370231,210528670,-1,707681848,723774200,634560761,472010613,-1,56123009,-1,290080158,115328179,757314297,-1,580777570,747189057,407131548,907115498,916782943,459438546,-1,794869343,311318744,-1,301891274,973067686,219504813,313340970,-1,-1,405465558,71918303,542271829,80994930,451997455,-1,513613036,773286298,403515368,-1,-1,301998302,335062009,700527639,-1,135737112,534498492,324412376,589329563,965496852,-1,-1,757840105,-1,769248915,822798133,-1,626787596,-1,702942378,848047211,605321698,181354490,472775837,103900788,727957278,892979912,452512172,260403340,56600456,900906,814047992,-1,-1,805818886,262987063,180353627,498148320,-1,792317417,920557035,-1,880241431,224282573,329661337,272871986,330277541,-1,439077008,570863796,763974951,369423239,368035450,952577022,351193659,-1,-1,999942038,192739533,-1,-1,805158814,193164715,39592348,447843865,450064657,-1,510557685,501454658,855900791,83824625,25912558,390000126,468016618,801213210,980838916,440119397,73428808,369789037,-1,859104290,24676675,816185045,62424546,-1,142071216,339240721,274675403,371099485,122977464,438906626,670573018,998736803,462620569,-1,699883118,240165879,-1,254511560,499973633,486183502,937107785,401601634,535554692,726110670,674643304,-1,-1,-1,188659697,-1,65195275,422123766,-1,-1,-1,171516178,343577782,544830398,687655815,-1,536515253,-1,944220386,-1,759349563,-1,180332445,-1,840984375,874000320,-1,-1,358844221,89613038,-1,511887264,218400731,317424120,-1,-1,543347648,714627699,344079976,326007154,855722465,-1,26560565,791691610,67723163,961477706,-1,-1,-1,884437927,203085180,981567053,452758585,496090704,81897472,91116198,592180624,781176574,-1,-1,599242603,644249683,122124860,235886856,459395558,928403296,802367041,-1,-1,216708907,-1,176252017,524207216,530022790,267048147,216765894,-1,965333952,-1,111814500,585534743,613548735,-1,-1,-1,310308626,-1,506464916,259661592,-1,439981881,-1,-1,334659654,-1,-1,889921673,-1,-1,828510581,-1,5589433,979627346,-1,-1,409937695,532425846,872856158,135785546,423324351,378876922,366469781,84911600,-1,739491044,-1,-1,814660539,-1,717878880,-1,960832838,772584877,-1,501284656,645793815,15255143,-1,445717690,-1,-1,984089907,245711811,42617420,347150616,397394225,431816918,-1,892825346,405546126,359281855,204751127,531963556,708323134,150287311,289044974,-1,787015935,391403870,859383875,134122027,356722542,953094126,440359547,265325875,-1,-1,567994899,323967945,-1,86237785,-1,-1,775164762,-1,-1,-1,-1,-1,411458343,956520451,222635092,582348803,-1,533223340,-1,602105383,-1,145516465,503740751,50348185,245079943,-1,314950172,546002013,-1,153676407,66391844,-1,600043158,914437327,86149929,735595434,119903882,912003836,516560966,635104294,390563458,205523946,428732128,-1,-1,382371101,293477593,333441083,-1,9613669,4847458,171092340,-1,281696220,578920663,631344907,381823130,3905249,-1,730662522,569243042,-1,684872638,482986130,646458729,328324900,88901200,15591661,-1,172088971,261347401,230638778,-1,-1,443499981,739074501,447317284,-1,548268169,631644325,393561028,703741611,721784858,19143644,103039098,-1,857703538,-1,-1,71137049,185837174,968006360,-1,-1,365980394,549519837,962394679,900973064,-1,74733562,-1,83244636,460403073,-1,-1,955131412,26244178,957954087,735897788,404486336,156664428,-1,-1,398975309,979095682,950604748,446773631,-1,484704578,122643202,35235066,987604964,185024989,871577900,-1,320679022,706867378,-1,582659,397494815,149312206,431679580,-1,369083871,-1,-1,-1,935688292,-1,513267371,744079303,-1,-1,-1,533000668,-1,63387227,556126762,-1,360528846,830680308,-1,-1,728640877,-1,-1,714508878,214674834,789434320,669680552,-1,-1,123413294,616679349,125787882,39513098,409456399,496726620,192046373,229099938,321456119,-1,-1,-1,303845091,174963361,459906742,557298009,468217250,87901763,196118444,281305329,570881237,950233242,-1,489051567,819724526,675524258,456990505,782161465,3664744,6556868,984496870,-1,334120062,349288849,-1,105864224,-1,481509029,-1,28524278,541886696,184890069,790488966,-1,-1,912547854,407602740,615067045,451863148,-1,-1,375556686,208609639,520857514,437904809,836127498,-1,578001029,25778999,304638571,88138675,621884880,-1,-1,-1,-1,366900210,550667667,682510831,614686709,694054485,583896061,21568991,-1,486659449,-1,211229130,581748810,537496748,464316426,-1,773387664,-1,-1,199714730,468370973,439462359,-1,653331566,-1,341991415,963504420,855255198,506813736,695172514,115609778,653842705,585398287,270854017,291964051,-1,826393247,625801088,60418805,296650053,555433482,731781417,235608338,910440832,69680953,635733268,670723143,547390498,981168662,961118445,281973763,-1,911844038,335901588,-1,545818656,114449077,-1,607553800,81127901,-1,-1,-1,802599860,882174207,190367443,847401597,537406001,519089243,723075866,693503118,713574498,531671933,249340120,-1,512206881,677106978,453967875,442900103,-1,-1,300903609,758248774,610547603,816387318,-1,38015409,-1,496296192,158540024,420298092,613964775,439819748,-1,841623109,17408935,182709449,-1,531256614,-1,-1,374284134,-1,-1,322121330,941462913,709976340,-1,106041990,-1,-1,-1,590374585,-1,19915034,956830625,-1,830176206,484139257,925652244,-1,755189363,-1,702682858,963350083,-1,168165443,-1,-1,995150540,-1,853300689,432816267,117837484,538587599,809512227,127888922,306655787,871217149,-1,186356331,313104000,347515432,983717787,168973004,135075276,366001504,592476484,916010627,699803990,-1,358537572,-1,42630062,665831090,411025633,24144063,362985273,988174970,-1,84452663,-1,-1,-1,673184193,-1,684872344,211195733,127807412,447898130,-1,916819261,-1,-1,882340079,-1,141586495,-1,492942069,-1,-1,291422994,562325891,-1,687275688,686454891,-1,654727926,160198840,432519218,984360852,49389805,-1,180817437,561215055,-1,708571172,680000139,744744058,837765563,954557084,128440476,449064760,-1,-1,100770137,896393729,-1,87893891,281979497,225165069,-1,45661583,-1,274810563,794238716,-1,788300737,192710484,-1,344036367,-1,26562841,972753065,-1,599074134,-1,782769158,298937175,58680634,-1,44108623,911950496,-1,-1,863329832,-1,381113157,6657053,797897692,-1,-1,675546644,11583049,327829101,242739963,490120780,-1,595387802,83336656,-1,-1,463473207,34470281,716137967,601154372,801631522,989619849,-1,-1,136683837,-1,618985427,-1,-1,-1,531286489,193195849,549287637,46630995,934013845,-1,904031458,-1,816107133,928160353,734998628,118844850,-1,-1,154266963,616883052,821035549,564908115,939912278,-1,429765879,745596352,545435598,527174382,856394017,938265959,474045369,695887675,491700849,512666082,869306748,-1,-1,-1,495862908,748917766,-1,111164705,-1,905464370,252168494,542277546,-1,-1,579155680,300046226,776008248,-1,34155250,831535756,645336661,257978926,-1,166343443,307106491,230630354,603525924,67387134,35329385,503056214,29825081,879123508,738868902,589446848,764625133,406810181,-1,949832971,343941940,900745588,683112272,-1,92919913,-1,217212181,590931465,153855772,434697572,-1,-1,-1,131483391,651832387,601245024,405796009,828377788,934633273,153451716,199753857,70982921,263103838,-1,-1,759716439,-1,948642572,98807052,714687460,-1,449792275,916281340,-1,-1,405790214,-1,-1,-1,-1,879100259,255989261,128222176,623979869,355547341,241063647,601717586,-1,839000800,-1,123179494,-1,855107704,-1,503402830,515062484,351752397,529013701,473352518,-1,20136770,289841897,317495772,965058809,-1,917886911,521693579,142085475,21330759,-1,208952484,784756754,523277310,949405659,98167741,149173171,489324082,264492230,-1,-1,-1,-1,529517443,124933161,35216375,9531916,667297756,-1,-1,100666499,704058224,687012310,582753754,369375700,-1,-1,964230524,964649474,-1,187599150,356787054,951171660,841971543,367370128,99477108,586781658,822124485,652633988,-1,143695277,362059987,326461939,455546186,-1,241289460,443113574,46905312,-1,-1,300215600,-1,-1,-1,751221357,785641165,412432574,40078537,-1,145284005,-1,-1,657105560,326106528,140140597,780348837,194902880,-1,153730172,-1,933197208,-1,708103792,875319829,150287521,141096426,30011945,-1,-1,79737485,965705700,784199869,251336217,102949818,-1,-1,515328206,-1,630601099,25449521,837306652,444057010,297344770,145515750,184294356,431351200,331705633,-1,-1,597560931,-1,824530268,890478917,786695289,-1,412061532,-1,603965058,387760649,107825395,50612900,-1,-1,725870430,919179483,154274216,511138686,497923965,633343578,850527177,840855221,254395188,58169073,-1,-1,951528771,-1,397769547,622761040,651558913,829382691,588329449,251585568,-1,477402421,477674352,-1,390874766,273559121,771056358,-1,555795565,-1,768721461,354900930,976153232,333939036,525731118,936402908,502754956,224382832,234560251,881211620,931022493,-1,185707486,-1,518228417,733997470,529153774,36064967,-1,79899511,-1,378238816,-1,997740904,499999316,464287229,-1,812523071,473729986,802675801,537527779,5906010,159361571,642904521,976281127,755746528,863553774,631355870,749045500,988477530,-1,749685816,-1,831629497,477163814,949897386,-1,262502257,172159167,720397206,-1,988825971,-1,557804075,30930831,591063688,81365879,682505447,639910995,920596423,826951488,-1,83879885,629430593,189604307,-1,-1,689436563,56317744,70498395,-1,-1,-1,37560803,543166094,855097412,788908560,596101033,-1,-1,319658069,537853070,-1,444208417,627405131,-1,-1,90087550,861753994,702537845,964862390,-1,281861024,-1,-1,413422096,-1,429301451,858493110,58376995,-1,119625845,329282108,751957923,440863178,719421367,126004714,-1,-1,52193624,-1,960194156,88697038,951589446,389794356,-1,625647990,-1,812934070,903146843,-1,273727005,369871156,156357977,497397803,657511664,-1,457101167,757955242,245718957,719838856,-1,-1,282271652,424382589,392635698,552714447,723312175,-1,838929320,683878137,157562114,-1,213232515,153311718,-1,684975023,865687484,-1,482309636,562595788,683668360,38908354,862877730,-1,555883269,812325236,586371718,-1,937608534,561443419,97445146,447548634,-1,216398663,-1,607502108,824770171,-1,163898957,314235355,498311088,-1,-1,164808489,591498396,-1,-1,821765446,127976711,-1,-1,757915170,888438277,-1,-1,-1,-1,722901277,589064422,305501782,582079417,897873569,-1,723518967,-1,-1,967919502,662410711,406090800,733123110,130590639,435654035,-1,83278304,887411367,-1,699348970,550907030,279025075,871211796,491619211,753812520,530936843,-1,442555091,904997522,632457373,917675058,-1,955194713,556119443,919685530,-1,827937463,193637280,338852854,-1,734930500,-1,828147989,924162126,-1,873433630,299296524,-1,927042796,914214302,-1,-1,605165013,243182180,99737655,-1,963562891,649635907,407045996,160132011,-1,586000440,-1,991732580,737740049,-1,747594805,27215281,-1,691724773,-1,205531895,943073770,626169278,-1,588215654,476724486,326354046,698497583,-1,591892126,-1,-1,-1,881961516,819410268,187090201,654292262,-1,-1,772134430,-1,477220991,53603466,650014381,-1,899609886,363453318,725829861,305755593,-1,997262867,725109347,77314305,346897330,774098288,396309923,225984639,12153802,595733771,927916791,821808898,212920939,-1,-1,208053492,-1,-1,-1,565727347,39528512,272836969,919654719,342142115,-1,946136726,575906288,680029691,301607323,626044005,51887842,-1,941164959,-1,795360312,-1,581616670,261271824,-1,-1,756803081,-1,-1,639804661,470290706,498197286,-1,-1,452863544,-1,-1,535004488,776256953,979644041,777304722,-1,418076147,264168973,527504676,131016829,937269908,215128633,678502308,763385882,767413312,891639388,446860600,-1,-1,817751920,-1,659836308,120165598,257402938,-1,-1,-1,138754271,78557538,607454116,-1,-1,608630795,-1,-1,-1,321871597,16040018,855477534,532621401,-1,-1,928028080,693058492,696987918,425930123,810142816,-1,206222534,-1,412035000,358376371,543602420,791226001,133906212,-1,560831753,189725529,599334084,946385300,-1,218597297,-1,-1,-1,961478059,551131528,-1,222478883,31089633,111950354,-1,-1,654783878,-1,-1,524434192,836121917,434095708,764086640,-1,760904055,-1,365325195,691926904,33414740,425023906,162815961,194790027,792992891,-1,-1,76019836,895747346,-1,895553069,941505751,389767008,978909237,632469207,643811539,-1,-1,199472616,484750289,83560991,362470756,451698720,382342015,-1,330099851,-1,175735915,929166998,437880889,101482275,149277798,-1,351467663,668606345,-1,989250256,804949180,-1,516509998,-1,-1,403663408,-1,130309,877248241,151480566,-1,-1,531913782,-1,790172747,223038450,854043571,51757157,799528373,-1,220900930,-1,358657400,-1,876411163,603227536,666655899,-1,74131790,146673763,689958652,-1,429966308,706542888,10133644,-1,-1,353528166,794672979,559942136,730080975,-1,300693108,644111768,667138902,702589093,-1,-1,741330543,290343884,-1,844183872,-1,279789064,576872084,58962406,500713789,352508726,-1,-1,836527839,-1,-1,569872013,-1,910258272,818270354,-1,770631755,741732346,843129894,888474397,426322333,897504170,848843077,260209056,287118345,306347857,331278287,718407558,-1,-1,-1,333604446,695036390,798080582,-1,610878426,383198878,-1,269175481,346000178,-1,865150707,811226396,-1,-1,420088092,985707162,-1,153555774,476075881,25659145,22002903,483375729,-1,145246646,-1,-1,-1,520278027,718423765,504594224,704129226,533396130,160210731,25599688,732310910,170784231,9607772,175046908,474277509,379823783,409968528,-1,901889749,-1,-1,151193551,124991504,-1,265011182,411814846,813863509,775431071,-1,103035971,417686727,859277858,708566836,245403572,40536423,685740334,273921418,816891066,-1,930084155,220615950,447199806,-1,947791138,176091715,-1,803257335,-1,197543755,-1,787113453,35961451,-1,-1,-1,99149359,-1,134437424,-1,369067131,-1,453556992,733716910,-1,722188699,504791600,-1,120989555,255915129,476188729,797005909,471589938,652227000,511634571,471059822,833151507,800441123,876765179,993848857,-1,135489739,734083913,110175245,-1,658553341,804694477,359569991,-1,728931348,699017559,566739031,839970442,559130478,-1,-1,-1,975779571,-1,144372547,-1,667620457,651828571,12585860,461256515,160912524,49971446,-1,-1,535410871,288193074,895948741,-1,-1,814923688,-1,568852996,-1,-1,173690226,88525558,-1,700047261,802854697,-1,378956626,89710084,-1,9132731,423147363,613188231,-1,542622342,-1,950872470,726807652,19230590,747732053,993654932,777888470,-1,315471164,-1,422481930,-1,-1,834120979,-1,819604890,-1,473814283,282339877,328073993,27121412,60467061,128881292,504863828,694496924,-1,37289511,248107920,288985228,-1,-1,-1,242110252,-1,469326884,253673118,882118591,394595885,-1,100179474,915727635,493540371,975424420,38542146,894459234,557233408,488669010,616072775,774354487,106200104,929890025,715610040,467688743,780212092,628660088,865487460,188634387,260229479,472584719,-1,-1,15653272,270492916,862718694,81423384,874286069,915260474,-1,170363978,418735066,161040828,107283402,273148567,-1,154932751,-1,200246639,511964006,133853687,721135609,512775387,854830048,400627827,657004929,461297147,-1,992040405,887398328,-1,993801944,918187637,881105663,66955959,-1,99068644,665307121,12560234,598068844,-1,797638302,703442695,872737223,405890377,473255226,357264056,496102275,874209413,-1,-1,55574455,874713900,-1,-1,-1,430164318,654709920,551074075,-1,298282430,-1,-1,635396328,-1,223327622,965150345,118799643,713500354,775829747,196059660,346875711,402738874,282291825,-1,-1,-1,647736634,761168978,277194227,262096823,651508123,-1,719799072,-1,-1,144006583,262609672,288850235,749665376,-1,-1,601124167,-1,687303194,771235809,61881468,-1,647187419,607917253,297075949,166675199,-1,738250190,807567235,329383974,-1,-1,407429760,749101175,-1,932916296,-1,-1,431541605,-1,246986889,953017355,113916638,-1,101712742,467544706,-1,596725593,977774655,-1,715663624,152329348,559242642,-1,430439884,468046789,527505976,-1,56566525,-1,12817488,-1,-1,529796566,615445347,303387860,221981788,591683238,874478008,723576620,-1,390935130,614433020,834124830,-1,-1,49366485,45804092,172515347,-1,459113381,622537834,277107264,-1,-1,991149850,943623942,68210979,-1,164062465,346551275,129326274,262980253,-1,779793800,162036674,203332636,108757748,-1,483319694,108047997,-1,157462784,533660394,357296142,428432779,845322672,667191161,-1,368003970,836942860,470930087,-1,-1,-1,831882947,-1,504461182,-1,-1,898273644,987477905,-1,-1,990383953,902379917,733141892,554371343,-1,200950157,-1,836930544,-1,97795807,182910930,-1,-1,955789234,70476334,780957687,69097202,487416859,73261249,142244121,559533586,940821585,362226420,309786069,383528516,801326880,-1,483225737,383674940,-1,659519937,696512193,210152372,-1,270949698,583573208,-1,636843769,-1,807235086,163371990,293925764,597362342,645380786,530622049,571160607,116490132,124228642,820136020,967256606,-1,801988502,543727498,-1,217679371,-1,895234391,413732152,-1,939163734,-1,415630925,579408235,296399471,479124596,669044827,3529528,-1,670865289,988101381,510325052,-1,515823372,866547539,39390516,188145894,-1,980732282,317611782,413118283,284690288,991721244,981520141,937088302,-1,-1,257073701,86886183,426295428,885165186,261017128,581520144,-1,269569778,735655878,66762536,160448398,519874079,467912798,-1,-1,-1,33699624,-1,40515441,78032469,659209030), 999236625) + } + +} diff --git a/minimize_the_maximum_difference_of_pairs/.DS_Store b/minimize_the_maximum_difference_of_pairs/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..c3443dd2df00ded2644798f023edfbef6f9c073a Binary files /dev/null and b/minimize_the_maximum_difference_of_pairs/.DS_Store differ diff --git a/minimize_the_maximum_difference_of_pairs/haskell_tests/Main.hs b/minimize_the_maximum_difference_of_pairs/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..9127a167f2f5a71e4ccc760e6bd7437fd0c03927 --- /dev/null +++ b/minimize_the_maximum_difference_of_pairs/haskell_tests/Main.hs @@ -0,0 +1,24 @@ + +module Main where +import Test.HUnit + +--Program start + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minimizeMax [10,1,2,7,1,3] 2)," 1 (minimizeMax [10,1,2,7,1,3] 2)) + +test2 :: Test +test2 = TestCase (assertEqual "for (minimizeMax [4,2,1,2] 1)," 0 (minimizeMax [4,2,1,2] 1)) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimize_the_maximum_difference_of_pairs/java_tests/Main.java b/minimize_the_maximum_difference_of_pairs/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..c5d249fe23c62371bb555256e3d767ed163c02d1 --- /dev/null +++ b/minimize_the_maximum_difference_of_pairs/java_tests/Main.java @@ -0,0 +1,21 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +import java.util.ArrayList; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(1, minimizeMax(new ArrayList<>(Arrays.asList(10,1,2,7,1,3)), 2)); +} +@Test +public void test2() { + assertEquals(0, minimizeMax(new ArrayList<>(Arrays.asList(4,2,1,2)), 1)); +} + +} diff --git a/minimize_the_maximum_difference_of_pairs/meta.json b/minimize_the_maximum_difference_of_pairs/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..553ad6d8e2ab7cb1b66d417cba1f9180160aa25f --- /dev/null +++ b/minimize_the_maximum_difference_of_pairs/meta.json @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:2dcdc0338261dcea0e49878986f84e9545d135d00bc4d0d228164e99cbf00ae8 +size 19234547 diff --git a/minimize_the_maximum_difference_of_pairs/ocaml_tests/main.ml b/minimize_the_maximum_difference_of_pairs/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..9f574e95c1d99ba49bde2fb44175f746e170e663 --- /dev/null +++ b/minimize_the_maximum_difference_of_pairs/ocaml_tests/main.ml @@ -0,0 +1,26 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 1 (minimizeMax [10;1;2;7;1;3] 2) + +let test2 _ = assert_equal 0 (minimizeMax [4;2;1;2] 1) + + + (* Grouping test cases *) + let suite = "Test Suite for minimizeMax" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimize_the_maximum_difference_of_pairs/scala_tests/MySuite.scala b/minimize_the_maximum_difference_of_pairs/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..bb42fab6c8aa268ff0ef91ff560832ac60a05660 --- /dev/null +++ b/minimize_the_maximum_difference_of_pairs/scala_tests/MySuite.scala @@ -0,0 +1,12 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimizeMax(List(10,1,2,7,1,3),2), 1) + } + + test("test2") { + assertEquals(Main.minimizeMax(List(4,2,1,2),1), 0) + } + +} diff --git a/minimize_the_maximum_edge_weight_of_graph/java_tests/Main.java b/minimize_the_maximum_edge_weight_of_graph/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..110b0173ce005dede918cdc6238ba6a55e12c923 --- /dev/null +++ b/minimize_the_maximum_edge_weight_of_graph/java_tests/Main.java @@ -0,0 +1,29 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +import java.util.ArrayList; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(1, minMaxWeight(5, new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(1,0,1)),new ArrayList<>(Arrays.asList(2,0,2)),new ArrayList<>(Arrays.asList(3,0,1)),new ArrayList<>(Arrays.asList(4,3,1)),new ArrayList<>(Arrays.asList(2,1,1)))), 2)); +} +@Test +public void test2() { + assertEquals(-1, minMaxWeight(5, new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(0,1,1)),new ArrayList<>(Arrays.asList(0,2,2)),new ArrayList<>(Arrays.asList(0,3,1)),new ArrayList<>(Arrays.asList(0,4,1)),new ArrayList<>(Arrays.asList(1,2,1)),new ArrayList<>(Arrays.asList(1,4,1)))), 1)); +} +@Test +public void test3() { + assertEquals(2, minMaxWeight(5, new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(1,2,1)),new ArrayList<>(Arrays.asList(1,3,3)),new ArrayList<>(Arrays.asList(1,4,5)),new ArrayList<>(Arrays.asList(2,3,2)),new ArrayList<>(Arrays.asList(3,4,2)),new ArrayList<>(Arrays.asList(4,0,1)))), 1)); +} +@Test +public void test4() { + assertEquals(-, minMaxWeight(5, new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(1,2,1)),new ArrayList<>(Arrays.asList(1,3,3)),new ArrayList<>(Arrays.asList(1,4,5)),new ArrayList<>(Arrays.asList(2,3,2)),new ArrayList<>(Arrays.asList(4,0,1)))), 1)); +} + +} diff --git a/minimize_the_maximum_of_two_arrays/haskell_tests/Main.hs b/minimize_the_maximum_of_two_arrays/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..0f96690cb6ba1a4af4fdf56957e2c4f3118ef5a6 --- /dev/null +++ b/minimize_the_maximum_of_two_arrays/haskell_tests/Main.hs @@ -0,0 +1,45 @@ + +module Main where +import Test.HUnit + +--Program start + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (minimizeSet 2 7 1 3)," 4 (minimizeSet 2 7 1 3)) + +test2 :: Test +test2 = TestCase (assertEqual "for (minimizeSet 3 5 2 1)," 3 (minimizeSet 3 5 2 1)) + +test3 :: Test +test3 = TestCase (assertEqual "for (minimizeSet 2 4 8 2)," 15 (minimizeSet 2 4 8 2)) + +test4 :: Test +test4 = TestCase (assertEqual "for (minimizeSet 4208 95692 390331116 307111670)," 697442792 (minimizeSet 4208 95692 390331116 307111670)) + +test5 :: Test +test5 = TestCase (assertEqual "for (minimizeSet 66767 47715 109529657 689521793)," 799051450 (minimizeSet 66767 47715 109529657 689521793)) + +test6 :: Test +test6 = TestCase (assertEqual "for (minimizeSet 66945 48742 797047732 113183367)," 910231099 (minimizeSet 66945 48742 797047732 113183367)) + +test7 :: Test +test7 = TestCase (assertEqual "for (minimizeSet 14488 22439 373499375 218898139)," 592397515 (minimizeSet 14488 22439 373499375 218898139)) + +test8 :: Test +test8 = TestCase (assertEqual "for (minimizeSet 54486 72001 372877909 182636630)," 555514539 (minimizeSet 54486 72001 372877909 182636630)) + +test9 :: Test +test9 = TestCase (assertEqual "for (minimizeSet 79990 13730 621494960 204810810)," 826305777 (minimizeSet 79990 13730 621494960 204810810)) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7, TestLabel "Test8" test8, TestLabel "Test9" test9] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/minimize_the_maximum_of_two_arrays/java_tests/Main.java b/minimize_the_maximum_of_two_arrays/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..67233c9f8719993a533e6fa5ff3073d73f0e2c5b --- /dev/null +++ b/minimize_the_maximum_of_two_arrays/java_tests/Main.java @@ -0,0 +1,25 @@ + +import static org.junit.jupiter.api.Assertions.*; +import org.junit.jupiter.api.Test; +import java.util.List; +import java.util.Arrays; +import java.util.ArrayList; +public class Main { + //Program start + + //Program end + + @Test +public void test1() { + assertEquals(4, minimizeSet(2, 7, 1, 3)); +} +@Test +public void test2() { + assertEquals(3, minimizeSet(3, 5, 2, 1)); +} +@Test +public void test3() { + assertEquals(15, minimizeSet(2, 4, 8, 2)); +} + +} diff --git a/minimize_the_maximum_of_two_arrays/meta.json b/minimize_the_maximum_of_two_arrays/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..bbb9671de4dfd9bcb8c6d25ff2ef175422c676a9 --- /dev/null +++ b/minimize_the_maximum_of_two_arrays/meta.json @@ -0,0 +1,95 @@ +{ + "id": 2628, + "name": "minimize_the_maximum_of_two_arrays", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/minimize-the-maximum-of-two-arrays/", + "date": "2022-12-10 00:00:00", + "task_description": "We have two arrays `arr1` and `arr2` which are initially empty. You need to add positive integers to them such that they satisfy all the following conditions: `arr1` contains `uniqueCnt1` **distinct** positive integers, each of which is **not divisible** by `divisor1`. `arr2` contains `uniqueCnt2` **distinct** positive integers, each of which is **not divisible** by `divisor2`. **No** integer is present in both `arr1` and `arr2`. Given `divisor1`, `divisor2`, `uniqueCnt1`, and `uniqueCnt2`, return _the **minimum possible maximum** integer that can be present in either array_. **Example 1:** ``` **Input:** divisor1 = 2, divisor2 = 7, uniqueCnt1 = 1, uniqueCnt2 = 3 **Output:** 4 **Explanation:** We can distribute the first 4 natural numbers into arr1 and arr2. arr1 = [1] and arr2 = [2,3,4]. We can see that both arrays satisfy all the conditions. Since the maximum value is 4, we return it. ``` **Example 2:** ``` **Input:** divisor1 = 3, divisor2 = 5, uniqueCnt1 = 2, uniqueCnt2 = 1 **Output:** 3 **Explanation:** Here arr1 = [1,2], and arr2 = [3] satisfy all conditions. Since the maximum value is 3, we return it. ``` **Example 3:** ``` **Input:** divisor1 = 2, divisor2 = 4, uniqueCnt1 = 8, uniqueCnt2 = 2 **Output:** 15 **Explanation:** Here, the final possible arrays can be arr1 = [1,3,5,7,9,11,13,15], and arr2 = [2,6]. It can be shown that it is not possible to obtain a lower maximum satisfying all conditions. ``` **Constraints:** `2 <= divisor1, divisor2 <= 105` `1 <= uniqueCnt1, uniqueCnt2 < 109` `2 <= uniqueCnt1 + uniqueCnt2 <= 109`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "divisor1 = 2, divisor2 = 7, uniqueCnt1 = 1, uniqueCnt2 = 3", + "output": "4 " + }, + { + "label": "Example 2", + "input": "divisor1 = 3, divisor2 = 5, uniqueCnt1 = 2, uniqueCnt2 = 1", + "output": "3 " + }, + { + "label": "Example 3", + "input": "divisor1 = 2, divisor2 = 4, uniqueCnt1 = 8, uniqueCnt2 = 2", + "output": "15 " + } + ], + "private_test_cases": [ + { + "input": [ + 4208, + 95692, + 390331116, + 307111670 + ], + "output": 697442792 + }, + { + "input": [ + 66767, + 47715, + 109529657, + 689521793 + ], + "output": 799051450 + }, + { + "input": [ + 66945, + 48742, + 797047732, + 113183367 + ], + "output": 910231099 + }, + { + "input": [ + 14488, + 22439, + 373499375, + 218898139 + ], + "output": 592397515 + }, + { + "input": [ + 54486, + 72001, + 372877909, + 182636630 + ], + "output": 555514539 + }, + { + "input": [ + 79990, + 13730, + 621494960, + 204810810 + ], + "output": 826305777 + }, + { + "input": [ + 66358, + 35001, + 708940014, + 188029353 + ], + "output": 896969367 + } + ], + "haskell_template": "minimizeSet :: Int -> Int -> Int -> Int -> Int\nminimizeSet divisor1 divisor2 uniqueCnt1 uniqueCnt2 ", + "ocaml_template": "let minimizeSet (divisor1: int) (divisor2: int) (uniqueCnt1: int) (uniqueCnt2: int) : int = ", + "scala_template": "def minimizeSet(divisor1: Int,divisor2: Int,uniqueCnt1: Int,uniqueCnt2: Int): Int = { \n \n}", + "java_template": "class Solution {\n public int minimizeSet(int divisor1, int divisor2, int uniqueCnt1, int uniqueCnt2) {\n \n }\n}", + "python_template": "class Solution(object):\n def minimizeSet(self, divisor1, divisor2, uniqueCnt1, uniqueCnt2):\n \"\"\"\n :type divisor1: int\n :type divisor2: int\n :type uniqueCnt1: int\n :type uniqueCnt2: int\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/minimize_the_maximum_of_two_arrays/ocaml_tests/main.ml b/minimize_the_maximum_of_two_arrays/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..c3fcc61637c7cda628274bb2417825ffc86bd15d --- /dev/null +++ b/minimize_the_maximum_of_two_arrays/ocaml_tests/main.ml @@ -0,0 +1,50 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 4 (minimizeSet 2 7 1 3) + +let test2 _ = assert_equal 3 (minimizeSet 3 5 2 1) + +let test3 _ = assert_equal 15 (minimizeSet 2 4 8 2) + +let test4 _ = assert_equal 697442792 (minimizeSet 4208 95692 390331116 307111670) + +let test5 _ = assert_equal 799051450 (minimizeSet 66767 47715 109529657 689521793) + +let test6 _ = assert_equal 910231099 (minimizeSet 66945 48742 797047732 113183367) + +let test7 _ = assert_equal 592397515 (minimizeSet 14488 22439 373499375 218898139) + +let test8 _ = assert_equal 555514539 (minimizeSet 54486 72001 372877909 182636630) + +let test9 _ = assert_equal 826305777 (minimizeSet 79990 13730 621494960 204810810) + +let test10 _ = assert_equal 896969367 (minimizeSet 66358 35001 708940014 188029353) + + + (* Grouping test cases *) + let suite = "Test Suite for minimizeSet" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + "test5" >:: test5; + "test6" >:: test6; + "test7" >:: test7; + "test8" >:: test8; + "test9" >:: test9; + "test10" >:: test10; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/minimize_the_maximum_of_two_arrays/scala_tests/MySuite.scala b/minimize_the_maximum_of_two_arrays/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..46da0e958e4e76f347dd2da9515cd5fa0cd6e70c --- /dev/null +++ b/minimize_the_maximum_of_two_arrays/scala_tests/MySuite.scala @@ -0,0 +1,44 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minimizeSet(2,7,1,3), 4) + } + + test("test2") { + assertEquals(Main.minimizeSet(3,5,2,1), 3) + } + + test("test3") { + assertEquals(Main.minimizeSet(2,4,8,2), 15) + } + + test("test4") { + assertEquals(Main.minimizeSet(4208,95692,390331116,307111670), 697442792) + } + + test("test5") { + assertEquals(Main.minimizeSet(66767,47715,109529657,689521793), 799051450) + } + + test("test6") { + assertEquals(Main.minimizeSet(66945,48742,797047732,113183367), 910231099) + } + + test("test7") { + assertEquals(Main.minimizeSet(14488,22439,373499375,218898139), 592397515) + } + + test("test8") { + assertEquals(Main.minimizeSet(54486,72001,372877909,182636630), 555514539) + } + + test("test9") { + assertEquals(Main.minimizeSet(79990,13730,621494960,204810810), 826305777) + } + + test("test10") { + assertEquals(Main.minimizeSet(66358,35001,708940014,188029353), 896969367) + } + +}